0 : 0:{}:{}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

 24 :  0:{1,4}:{(1,1),(2,1),(3,1),(7,1),(8,1)}
       1:{1,2}:{(0,1),(4,1),(11,1)}
       2:{3}:{(0,1)}
       3:{1,5}:{(0,1),(5,1),(6,1),(10,1)}
       4:{2,3}:{(1,1),(2,1),(7,1)}
       5:{3,5}:{(2,1),(3,1),(8,1),(9,1),(15,1)}
       6:{1,6}:{(3,1),(9,1),(13,1),(19,1)}
       7:{4}:{(4,1),(10,1)}
       8:{4}:{(5,1),(11,1)}
       9:{3,6}:{(5,1),(6,1),(12,1),(18,1)}
      10:{5}:{(7,1),(13,1)}
      11:{2}:{(8,1)}
      12:{4,6}:{(8,1),(9,1),(14,1),(15,1),(17,1)}
      13:{6}:{(10,1)}
      14:{2,6}:{(11,1),(12,1),(16,1)}
      15:{5}:{(12,1)}
      16:{2,5}:{(14,1),(15,1),(17,1)}
      17:{4}:{(16,1),(18,1)}
      18:{3}:{(17,1),(19,1)}
      19:{1}:{(18,1)}

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

 26 :  0:{2,3}:{(1,1),(2,1),(5,1)}
       1:{1,2}:{(0,1),(3,1),(12,1)}
       2:{4}:{(0,1),(4,1)}
       3:{1,4}:{(1,1),(2,1),(5,1),(6,1),(10,1)}
       4:{5}:{(2,1),(7,1)}
       5:{3}:{(3,1)}
       6:{1,5}:{(3,1),(4,1),(8,1),(9,1)}
       7:{6}:{(4,1)}
       8:{3,5}:{(5,1),(6,1),(10,1),(11,1),(15,1)}
       9:{1,6}:{(6,1),(7,1),(11,1),(19,1)}
      10:{4}:{(8,1),(12,1)}
      11:{3,6}:{(8,1),(9,1),(13,1),(18,1)}
      12:{2}:{(10,1)}
      13:{4,6}:{(10,1),(11,1),(14,1),(15,1),(17,1)}
      14:{2,6}:{(12,1),(13,1),(16,1)}
      15:{5}:{(13,1)}
      16:{2,5}:{(14,1),(15,1),(17,1)}
      17:{4}:{(16,1),(18,1)}
      18:{3}:{(17,1),(19,1)}
      19:{1}:{(18,1)}

 27 :  0:{2,5}:{(1,1),(2,1),(7,1)}
       1:{4}:{(0,1),(3,1)}
       2:{2,6}:{(0,1),(4,1),(13,1)}
       3:{3}:{(1,1),(5,1)}
       4:{4,6}:{(1,1),(2,1),(6,1),(7,1),(11,1)}
       5:{1}:{(3,1)}
       6:{3,6}:{(3,1),(4,1),(8,1),(9,1)}
       7:{5}:{(4,1)}
       8:{1,6}:{(5,1),(6,1),(10,1),(19,1)}
       9:{3,5}:{(6,1),(7,1),(10,1),(11,1),(15,1)}
      10:{1,5}:{(8,1),(9,1),(12,1),(18,1)}
      11:{4}:{(9,1),(13,1)}
      12:{1,4}:{(10,1),(11,1),(14,1),(15,1),(17,1)}
      13:{2}:{(11,1)}
      14:{1,2}:{(12,1),(13,1),(16,1)}
      15:{3}:{(12,1)}
      16:{2,3}:{(14,1),(15,1),(17,1)}
      17:{4}:{(16,1),(18,1)}
      18:{5}:{(17,1),(19,1)}
      19:{6}:{(18,1)}

 28 :  0:{3,5}:{(1,1),(2,1),(3,1),(9,1),(11,1)}
       1:{1,5}:{(0,1),(4,1),(5,1),(16,1)}
       2:{4}:{(0,1),(6,1)}
       3:{3,6}:{(0,1),(5,1),(7,1),(17,1)}
       4:{1,4}:{(1,1),(2,1),(8,1),(9,1),(14,1)}
       5:{1,6}:{(1,1),(3,1),(18,1),(19,1)}
       6:{2}:{(2,1)}
       7:{4,6}:{(2,1),(3,1),(10,1),(11,1),(15,1)}
       8:{1,2}:{(4,1),(6,1),(12,1)}
       9:{3}:{(4,1)}
      10:{2,6}:{(6,1),(7,1),(13,1)}
      11:{5}:{(7,1)}
      12:{2,3}:{(8,1),(9,1),(14,1)}
      13:{2,5}:{(10,1),(11,1),(15,1)}
      14:{4}:{(12,1),(16,1)}
      15:{4}:{(13,1),(17,1)}
      16:{5}:{(14,1),(18,1)}
      17:{3}:{(15,1),(19,1)}
      18:{6}:{(16,1)}
      19:{1}:{(17,1)}

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

 30 :  0:{4,6}:{(1,1),(2,1),(3,1),(7,1),(9,1)}
       1:{2,6}:{(0,1),(4,1),(12,1)}
       2:{3,6}:{(0,1),(5,1),(6,1),(10,1)}
       3:{5}:{(0,1)}
       4:{2,5}:{(1,1),(3,1),(7,1)}
       5:{1,6}:{(2,1),(8,1),(13,1),(19,1)}
       6:{3,5}:{(2,1),(3,1),(8,1),(9,1),(15,1)}
       7:{4}:{(4,1),(10,1)}
       8:{1,5}:{(5,1),(6,1),(11,1),(18,1)}
       9:{4}:{(6,1),(12,1)}
      10:{3}:{(7,1),(13,1)}
      11:{1,4}:{(8,1),(9,1),(14,1),(15,1),(17,1)}
      12:{2}:{(9,1)}
      13:{1}:{(10,1)}
      14:{1,2}:{(11,1),(12,1),(16,1)}
      15:{3}:{(11,1)}
      16:{2,3}:{(14,1),(15,1),(17,1)}
      17:{4}:{(16,1),(18,1)}
      18:{5}:{(17,1),(19,1)}
      19:{6}:{(18,1)}

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

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

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

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

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

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

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

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

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

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

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

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

 43 :  0:{3,5}:{(1,1),(2,1),(3,1),(9,1),(11,1)}
       1:{1,5}:{(0,1),(4,1),(5,1),(16,1)}
       2:{4}:{(0,1),(6,1)}
       3:{3,6}:{(0,1),(5,1),(7,1),(17,1)}
       4:{1,4}:{(1,1),(2,1),(8,1),(9,1),(14,1)}
       5:{1,6}:{(1,1),(3,1),(18,1),(19,1)}
       6:{2}:{(2,1)}
       7:{4,6}:{(2,1),(3,1),(10,1),(11,1),(15,1)}
       8:{1,2}:{(4,1),(6,1),(12,1)}
       9:{3}:{(4,1)}
      10:{2,6}:{(6,1),(7,1),(13,1)}
      11:{5}:{(7,1)}
      12:{2,3}:{(8,1),(9,1),(14,1)}
      13:{2,5}:{(10,1),(11,1),(15,1)}
      14:{4}:{(12,1),(16,1)}
      15:{4}:{(13,1),(17,1)}
      16:{5}:{(14,1),(18,1)}
      17:{3}:{(15,1),(19,1)}
      18:{6}:{(16,1)}
      19:{1}:{(17,1)}

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

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

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

 47 :  0:{2,5}:{(1,1),(2,1),(7,1)}
       1:{4}:{(0,1),(3,1)}
       2:{2,6}:{(0,1),(4,1),(13,1)}
       3:{3}:{(1,1),(5,1)}
       4:{4,6}:{(1,1),(2,1),(6,1),(7,1),(11,1)}
       5:{1}:{(3,1)}
       6:{3,6}:{(3,1),(4,1),(8,1),(9,1)}
       7:{5}:{(4,1)}
       8:{1,6}:{(5,1),(6,1),(10,1),(19,1)}
       9:{3,5}:{(6,1),(7,1),(10,1),(11,1),(15,1)}
      10:{1,5}:{(8,1),(9,1),(12,1),(18,1)}
      11:{4}:{(9,1),(13,1)}
      12:{1,4}:{(10,1),(11,1),(14,1),(15,1),(17,1)}
      13:{2}:{(11,1)}
      14:{1,2}:{(12,1),(13,1),(16,1)}
      15:{3}:{(12,1)}
      16:{2,3}:{(14,1),(15,1),(17,1)}
      17:{4}:{(16,1),(18,1)}
      18:{5}:{(17,1),(19,1)}
      19:{6}:{(18,1)}

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

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

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

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

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

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

 54 :  0:{2,3}:{(1,1),(2,1),(5,1)}
       1:{1,2}:{(0,1),(3,1),(12,1)}
       2:{4}:{(0,1),(4,1)}
       3:{1,4}:{(1,1),(2,1),(5,1),(6,1),(10,1)}
       4:{5}:{(2,1),(7,1)}
       5:{3}:{(3,1)}
       6:{1,5}:{(3,1),(4,1),(8,1),(9,1)}
       7:{6}:{(4,1)}
       8:{3,5}:{(5,1),(6,1),(10,1),(11,1),(15,1)}
       9:{1,6}:{(6,1),(7,1),(11,1),(19,1)}
      10:{4}:{(8,1),(12,1)}
      11:{3,6}:{(8,1),(9,1),(13,1),(18,1)}
      12:{2}:{(10,1)}
      13:{4,6}:{(10,1),(11,1),(14,1),(15,1),(17,1)}
      14:{2,6}:{(12,1),(13,1),(16,1)}
      15:{5}:{(13,1)}
      16:{2,5}:{(14,1),(15,1),(17,1)}
      17:{4}:{(16,1),(18,1)}
      18:{3}:{(17,1),(19,1)}
      19:{1}:{(18,1)}

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

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

 57 :  0:{2,4}:{(3,1),(4,1),(15,1),(44,1)}
       1:{3,4}:{(3,1),(5,1),(6,1),(15,1),(32,1)}
       2:{1,3}:{(5,1),(32,1)}
       3:{2,3}:{(0,1),(1,1),(7,1)}
       4:{2,5}:{(0,1),(9,1),(10,1)}
       5:{1,4}:{(1,1),(2,1),(7,1),(11,1)}
       6:{3,5}:{(1,1),(11,1),(12,1),(13,1)}
       7:{1,2}:{(3,1),(5,1)}
       8:{2,3,5}:{(3,1),(4,1),(6,1),(14,1),(15,1),(16,1),(17,1),(20,1),(32,1),(34,1),(36,1),(42,1),(44,1)}
       9:{4,5}:{(4,1),(15,1),(17,1),(18,1),(36,1)}
      10:{2,6}:{(4,1),(18,1)}
      11:{1,5}:{(5,1),(6,1),(19,1)}
      12:{4,5}:{(6,1),(15,1),(20,1),(21,1),(36,1)}
      13:{3,6}:{(6,1),(19,1),(21,1)}
      14:{1,2,5}:{(7,1),(8,1),(11,1),(22,1),(23,1),(27,1),(40,1),(41,1)}
      15:{4}:{(8,1)}
      16:{2,3,6}:{(8,1),(10,1),(13,1),(23,1),(26,1),(28,1),(30,1),(39,1)}
      17:{3,5}:{(9,1),(25,1),(27,1),(28,1)}
      18:{4,6}:{(9,1),(10,1),(28,1),(29,1)}
      19:{1,6}:{(11,1),(13,1)}
      20:{2,5}:{(12,1),(24,1),(30,1)}
      21:{4,6}:{(12,1),(13,1),(30,1),(31,1)}
      22:{1,4}:{(14,1),(15,1),(32,1)}
      23:{1,2,6}:{(14,1),(16,1),(19,1),(33,1),(37,1),(44,1)}
      24:{2,4}:{(15,1),(20,1),(34,1),(44,1)}
      25:{3,4}:{(15,1),(17,1),(32,1),(34,1),(35,1)}
      26:{4,6}:{(15,1),(16,1),(36,1)}
      27:{1,5}:{(17,1),(35,1),(37,1)}
      28:{3,6}:{(17,1),(18,1),(37,1)}
      29:{5,6}:{(18,1),(36,1)}
      30:{2,6}:{(20,1),(21,1)}
      31:{5,6}:{(21,1),(36,1)}
      32:{3}:{(22,1)}
      33:{1,4,6}:{(22,1),(23,1),(26,1),(39,1),(40,1),(43,1)}
      34:{2,3}:{(24,1),(25,1),(41,1)}
      35:{1,4}:{(25,1),(27,1),(38,1),(41,1)}
      36:{5}:{(26,1)}
      37:{1,6}:{(27,1),(28,1)}
      38:{1,3}:{(32,1),(35,1)}
      39:{3,6}:{(32,1),(33,1),(42,1)}
      40:{1,5}:{(33,1),(36,1),(42,1)}
      41:{1,2}:{(34,1),(35,1)}
      42:{3,5}:{(39,1),(40,1),(43,1)}
      43:{4}:{(42,1),(44,1)}
      44:{2}:{(43,1)}

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

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

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

 61 :  0:{2,5}:{(1,1),(2,1),(7,1)}
       1:{4}:{(0,1),(3,1)}
       2:{2,6}:{(0,1),(4,1),(13,1)}
       3:{3}:{(1,1),(5,1)}
       4:{4,6}:{(1,1),(2,1),(6,1),(7,1),(11,1)}
       5:{1}:{(3,1)}
       6:{3,6}:{(3,1),(4,1),(8,1),(9,1)}
       7:{5}:{(4,1)}
       8:{1,6}:{(5,1),(6,1),(10,1),(19,1)}
       9:{3,5}:{(6,1),(7,1),(10,1),(11,1),(15,1)}
      10:{1,5}:{(8,1),(9,1),(12,1),(18,1)}
      11:{4}:{(9,1),(13,1)}
      12:{1,4}:{(10,1),(11,1),(14,1),(15,1),(17,1)}
      13:{2}:{(11,1)}
      14:{1,2}:{(12,1),(13,1),(16,1)}
      15:{3}:{(12,1)}
      16:{2,3}:{(14,1),(15,1),(17,1)}
      17:{4}:{(16,1),(18,1)}
      18:{5}:{(17,1),(19,1)}
      19:{6}:{(18,1)}

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

 63 :  0:{4,5}:{(3,1),(4,1),(5,1),(18,1),(34,1)}
       1:{3,4}:{(4,1),(6,1),(7,1),(18,1),(31,1)}
       2:{1,3}:{(7,1),(31,1)}
       3:{2,5}:{(0,1),(8,1),(10,1)}
       4:{3,5}:{(0,1),(1,1),(11,1),(12,1)}
       5:{4,6}:{(0,1),(10,1),(12,1),(13,1)}
       6:{2,3}:{(1,1),(14,1),(15,1)}
       7:{1,4}:{(1,1),(2,1),(11,1),(14,1)}
       8:{2,4}:{(3,1),(16,1),(18,1),(44,1)}
       9:{2,3,5}:{(3,1),(4,1),(6,1),(16,1),(17,1),(18,1),(19,1),(21,1),(30,1),(31,1),(34,1),(42,1),(44,1)}
      10:{2,6}:{(3,1),(5,1)}
      11:{1,5}:{(4,1),(7,1),(20,1)}
      12:{3,6}:{(4,1),(5,1),(20,1)}
      13:{5,6}:{(5,1),(34,1)}
      14:{1,2}:{(6,1),(7,1)}
      15:{2,4}:{(6,1),(18,1),(21,1),(44,1)}
      16:{2,3}:{(8,1),(22,1),(23,1)}
      17:{1,2,5}:{(9,1),(11,1),(14,1),(22,1),(24,1),(25,1),(36,1),(39,1)}
      18:{4}:{(9,1)}
      19:{2,3,6}:{(9,1),(10,1),(12,1),(25,1),(27,1),(28,1),(37,1),(38,1)}
      20:{1,6}:{(11,1),(12,1)}
      21:{2,5}:{(15,1),(26,1),(28,1)}
      22:{1,2}:{(16,1),(29,1)}
      23:{3,4}:{(16,1),(18,1),(29,1),(30,1),(31,1)}
      24:{1,4}:{(17,1),(18,1),(31,1)}
      25:{1,2,6}:{(17,1),(19,1),(20,1),(32,1),(41,1),(44,1)}
      26:{4,5}:{(18,1),(21,1),(30,1),(33,1),(34,1)}
      27:{4,6}:{(18,1),(19,1),(34,1)}
      28:{2,6}:{(21,1),(33,1)}
      29:{1,4}:{(22,1),(23,1),(35,1),(36,1)}
      30:{3,5}:{(23,1),(26,1),(36,1),(37,1)}
      31:{3}:{(24,1)}
      32:{1,4,6}:{(24,1),(25,1),(27,1),(38,1),(39,1),(43,1)}
      33:{4,6}:{(26,1),(28,1),(37,1),(40,1)}
      34:{5}:{(27,1)}
      35:{1,3}:{(29,1),(31,1)}
      36:{1,5}:{(29,1),(30,1),(41,1)}
      37:{3,6}:{(30,1),(33,1),(41,1)}
      38:{3,6}:{(31,1),(32,1),(42,1)}
      39:{1,5}:{(32,1),(34,1),(42,1)}
      40:{5,6}:{(33,1),(34,1)}
      41:{1,6}:{(36,1),(37,1)}
      42:{3,5}:{(38,1),(39,1),(43,1)}
      43:{4}:{(42,1),(44,1)}
      44:{2}:{(43,1)}

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

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

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

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

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

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

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

 71 :  0:{2,4,6}:{(1,1),(2,1),(8,1),(12,1),(53,1),(54,1),(62,1)}
       1:{2,3,6}:{(0,1),(4,1),(5,1),(6,1),(14,1),(39,1),(48,1)}
       2:{2,5}:{(0,1),(7,1),(59,1)}
       3:{2,5,6}:{(2,1),(8,1),(62,1),(63,1)}
       4:{1,2,6}:{(1,1),(9,1),(10,1),(23,1),(41,1)}
       5:{3,4,6}:{(1,1),(9,1),(11,1),(12,1),(28,1),(29,1),(42,1),(44,1),(54,1)}
       6:{2,3,5}:{(1,1),(2,1),(10,1),(11,1),(12,1),(13,1),(28,1),(30,1),(31,1)}
       7:{4,5}:{(2,1),(8,1),(12,1),(13,1)}
       8:{4,6}:{(3,1),(7,1),(14,1)}
       9:{1,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(33,1)}
      10:{1,2,5}:{(4,1),(6,1),(16,1),(17,1),(22,1),(40,1)}
      11:{3,5}:{(5,1),(16,1),(19,1),(59,1)}
      12:{4}:{(6,1)}
      13:{3,5}:{(7,1),(14,1),(21,1),(22,1)}
      14:{3,6}:{(8,1),(13,1),(23,1)}
      15:{1,3,6}:{(9,1),(24,1),(28,1),(44,1)}
      16:{1,5}:{(9,1),(11,1)}
      17:{1,4}:{(10,1),(12,1),(28,1)}
      18:{3,5,6}:{(11,1),(25,1),(29,1),(44,1)}
      19:{4,5}:{(11,1),(12,1),(29,1),(30,1)}
      20:{2,4}:{(12,1),(30,1),(31,1)}
      21:{3,4}:{(12,1),(13,1),(28,1),(31,1),(32,1)}
      22:{1,5}:{(13,1),(23,1),(32,1)}
      23:{1,6}:{(14,1),(22,1)}
      24:{1,3,5}:{(15,1),(16,1),(33,1),(36,1)}
      25:{1,5,6}:{(16,1),(18,1),(34,1),(59,1)}
      26:{1,4,5}:{(16,1),(17,1),(19,1),(33,1),(34,1),(35,1),(36,1),(50,1),(59,1)}
      27:{1,2,4}:{(17,1),(20,1),(35,1),(37,1),(40,1),(50,1),(51,1)}
      28:{3}:{(17,1)}
      29:{4,6}:{(18,1),(19,1),(39,1)}
      30:{2,5}:{(19,1),(20,1),(39,1)}
      31:{2,3}:{(20,1),(21,1),(40,1)}
      32:{1,4}:{(21,1),(22,1),(38,1),(40,1)}
      33:{1,4}:{(24,1),(41,1),(42,1)}
      34:{1,4,6}:{(25,1),(26,1),(29,1),(43,1),(44,1),(54,1)}
      35:{1,2,5}:{(26,1),(27,1),(30,1),(41,1),(43,1),(45,1),(56,1)}
      36:{3,5}:{(26,1),(28,1),(42,1),(44,1)}
      37:{2,3}:{(27,1),(28,1),(47,1)}
      38:{1,3}:{(28,1),(32,1)}
      39:{2,6}:{(29,1),(30,1)}
      40:{1,2}:{(31,1),(32,1)}
      41:{1,2}:{(33,1),(48,1)}
      42:{3,4}:{(33,1),(36,1),(48,1),(50,1)}
      43:{1,2,6}:{(34,1),(35,1),(39,1),(49,1),(61,1)}
      44:{3,6}:{(34,1),(36,1)}
      45:{2,3,5}:{(35,1),(36,1),(37,1),(48,1),(49,1),(50,1),(52,1),(58,1),(59,1)}
      46:{1,2,3}:{(37,1),(38,1),(40,1),(51,1)}
      47:{3,4}:{(37,1),(50,1),(51,1),(52,1)}
      48:{2,3}:{(41,1),(42,1),(53,1)}
      49:{2,3,6}:{(43,1),(44,1),(45,1),(54,1),(57,1),(62,1)}
      50:{4}:{(45,1)}
      51:{1,4}:{(46,1),(47,1),(56,1)}
      52:{3,5}:{(47,1),(55,1),(56,1),(57,1)}
      53:{2,4}:{(48,1),(50,1),(58,1)}
      54:{4,6}:{(49,1),(50,1),(59,1)}
      55:{4,5}:{(50,1),(52,1),(58,1),(59,1),(60,1)}
      56:{1,5}:{(51,1),(52,1),(61,1)}
      57:{3,6}:{(52,1),(60,1),(61,1)}
      58:{2,5}:{(53,1),(55,1),(62,1)}
      59:{5}:{(54,1)}
      60:{4,6}:{(55,1),(57,1),(62,1),(63,1)}
      61:{1,6}:{(56,1),(57,1)}
      62:{2,6}:{(58,1),(60,1)}
      63:{5,6}:{(59,1),(60,1)}

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

 73 :  0:{1,4,5}:{(1,1),(2,1),(3,1),(13,1),(15,1),(35,1),(36,1),(38,1),(49,1)}
       1:{1,2,5}:{(0,1),(4,1),(6,1),(7,1),(21,1),(40,1),(46,1)}
       2:{3,5}:{(0,1),(5,1),(9,1),(54,1)}
       3:{1,4,6}:{(0,1),(7,1),(9,1),(10,1),(27,1),(28,1)}
       4:{1,2,4}:{(1,1),(11,1),(15,1),(29,1),(49,1),(52,1),(62,1)}
       5:{3,4}:{(2,1),(12,1),(13,1),(15,1)}
       6:{2,3,5}:{(1,1),(2,1),(11,1),(12,1),(15,1),(16,1),(30,1),(32,1),(38,1)}
       7:{1,2,6}:{(1,1),(3,1),(16,1),(39,1),(48,1)}
       8:{1,3,5}:{(2,1),(13,1),(17,1),(35,1)}
       9:{3,6}:{(2,1),(3,1)}
      10:{1,5,6}:{(3,1),(18,1),(35,1),(38,1)}
      11:{2,3}:{(4,1),(20,1),(54,1)}
      12:{2,3}:{(5,1),(21,1),(22,1)}
      13:{1,4}:{(5,1),(8,1),(21,1)}
      14:{3,4,6}:{(5,1),(9,1),(23,1),(24,1),(25,1),(27,1),(28,1),(45,1),(54,1)}
      15:{4}:{(6,1)}
      16:{2,3,6}:{(6,1),(7,1),(9,1),(27,1),(41,1),(43,1)}
      17:{1,3,6}:{(8,1),(9,1),(24,1),(54,1)}
      18:{3,5,6}:{(9,1),(10,1),(25,1),(28,1)}
      19:{1,2,3}:{(11,1),(29,1),(59,1),(62,1)}
      20:{3,4}:{(11,1),(15,1),(29,1),(30,1)}
      21:{1,2}:{(12,1),(13,1)}
      22:{2,4}:{(12,1),(15,1),(32,1)}
      23:{2,3,6}:{(12,1),(14,1),(31,1),(33,1),(34,1),(39,1),(60,1)}
      24:{1,4,6}:{(13,1),(14,1),(17,1),(31,1),(35,1),(49,1)}
      25:{3,5}:{(14,1),(35,1),(36,1),(38,1)}
      26:{4,5}:{(15,1),(30,1),(32,1),(37,1),(38,1)}
      27:{4,6}:{(15,1),(16,1),(38,1)}
      28:{4,6}:{(18,1),(36,1),(39,1)}
      29:{1,4}:{(19,1),(20,1),(40,1)}
      30:{3,5}:{(20,1),(26,1),(40,1),(41,1)}
      31:{1,2,6}:{(21,1),(23,1),(24,1),(42,1),(63,1)}
      32:{2,5}:{(22,1),(26,1),(43,1)}
      33:{2,4,6}:{(22,1),(23,1),(27,1),(43,1),(44,1),(45,1),(55,1)}
      34:{2,3,5}:{(23,1),(25,1),(42,1),(44,1),(45,1),(46,1),(54,1),(56,1),(57,1)}
      35:{1,5}:{(24,1),(25,1)}
      36:{4,5}:{(25,1),(28,1),(45,1),(46,1)}
      37:{4,6}:{(26,1),(41,1),(43,1),(47,1)}
      38:{5}:{(27,1)}
      39:{2,6}:{(28,1),(46,1)}
      40:{1,5}:{(29,1),(30,1),(48,1)}
      41:{3,6}:{(30,1),(37,1),(48,1)}
      42:{1,2,5}:{(31,1),(34,1),(35,1),(49,1),(61,1),(62,1)}
      43:{2,6}:{(32,1),(37,1)}
      44:{2,5}:{(33,1),(38,1),(51,1)}
      45:{4}:{(34,1)}
      46:{2,5}:{(36,1),(39,1),(52,1)}
      47:{5,6}:{(37,1),(38,1)}
      48:{1,6}:{(40,1),(41,1)}
      49:{1,4}:{(42,1),(45,1),(54,1)}
      50:{2,5,6}:{(43,1),(44,1),(47,1),(55,1)}
      51:{4,5}:{(44,1),(45,1),(55,1),(56,1)}
      52:{2,4}:{(45,1),(46,1),(57,1)}
      53:{3,4}:{(45,1),(54,1),(56,1),(57,1),(58,1)}
      54:{3}:{(49,1)}
      55:{4,6}:{(50,1),(51,1),(60,1)}
      56:{3,5}:{(51,1),(53,1),(60,1),(61,1)}
      57:{2,3}:{(52,1),(53,1),(62,1)}
      58:{1,4}:{(53,1),(59,1),(61,1),(62,1)}
      59:{1,3}:{(54,1),(58,1)}
      60:{3,6}:{(55,1),(56,1),(63,1)}
      61:{1,5}:{(56,1),(58,1),(63,1)}
      62:{1,2}:{(57,1),(58,1)}
      63:{1,6}:{(60,1),(61,1)}

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

 75 :  0:{5,6}:{(3,1),(32,1)}
       1:{4,5}:{(3,1),(4,1),(5,1),(20,1),(32,1)}
       2:{3,4}:{(5,1),(6,1),(7,1),(20,1),(33,1)}
       3:{4,6}:{(0,1),(1,1),(10,1),(11,1)}
       4:{2,5}:{(1,1),(9,1),(10,1)}
       5:{3,5}:{(1,1),(2,1),(11,1),(13,1)}
       6:{2,3}:{(2,1),(14,1),(15,1)}
       7:{1,4}:{(2,1),(8,1),(13,1),(14,1)}
       8:{1,3}:{(7,1),(33,1)}
       9:{2,4}:{(4,1),(16,1),(20,1),(44,1)}
      10:{2,6}:{(3,1),(4,1)}
      11:{3,6}:{(3,1),(5,1),(18,1)}
      12:{2,3,5}:{(4,1),(5,1),(6,1),(16,1),(17,1),(19,1),(20,1),(21,1),(30,1),(32,1),(33,1),(42,1),(44,1)}
      13:{1,5}:{(5,1),(7,1),(18,1)}
      14:{1,2}:{(6,1),(7,1)}
      15:{2,4}:{(6,1),(20,1),(21,1),(44,1)}
      16:{2,3}:{(9,1),(22,1),(23,1)}
      17:{2,3,6}:{(10,1),(11,1),(12,1),(24,1),(25,1),(28,1),(37,1),(38,1)}
      18:{1,6}:{(11,1),(13,1)}
      19:{1,2,5}:{(12,1),(13,1),(14,1),(22,1),(24,1),(26,1),(36,1),(39,1)}
      20:{4}:{(12,1)}
      21:{2,5}:{(15,1),(27,1),(28,1)}
      22:{1,2}:{(16,1),(29,1)}
      23:{3,4}:{(16,1),(20,1),(29,1),(30,1),(33,1)}
      24:{1,2,6}:{(17,1),(18,1),(19,1),(31,1),(41,1),(44,1)}
      25:{4,6}:{(17,1),(20,1),(32,1)}
      26:{1,4}:{(19,1),(20,1),(33,1)}
      27:{4,5}:{(20,1),(21,1),(30,1),(32,1),(34,1)}
      28:{2,6}:{(21,1),(34,1)}
      29:{1,4}:{(22,1),(23,1),(35,1),(36,1)}
      30:{3,5}:{(23,1),(27,1),(36,1),(37,1)}
      31:{1,4,6}:{(24,1),(25,1),(26,1),(38,1),(39,1),(43,1)}
      32:{5}:{(25,1)}
      33:{3}:{(26,1)}
      34:{4,6}:{(27,1),(28,1),(37,1),(40,1)}
      35:{1,3}:{(29,1),(33,1)}
      36:{1,5}:{(29,1),(30,1),(41,1)}
      37:{3,6}:{(30,1),(34,1),(41,1)}
      38:{3,6}:{(31,1),(33,1),(42,1)}
      39:{1,5}:{(31,1),(32,1),(42,1)}
      40:{5,6}:{(32,1),(34,1)}
      41:{1,6}:{(36,1),(37,1)}
      42:{3,5}:{(38,1),(39,1),(43,1)}
      43:{4}:{(42,1),(44,1)}
      44:{2}:{(43,1)}

 76 :  0:{3,4,6}:{(1,1),(2,1),(3,1),(13,1),(16,1),(30,1),(32,1),(34,1),(49,1)}
       1:{2,3,6}:{(0,1),(6,1),(7,1),(8,1),(21,1),(40,1),(44,1)}
       2:{1,4,6}:{(0,1),(4,1),(6,1),(9,1),(19,1),(22,1)}
       3:{3,5}:{(0,1),(9,1),(10,1),(55,1)}
       4:{1,3,6}:{(2,1),(11,1),(32,1),(34,1)}
       5:{3,5,6}:{(3,1),(12,1),(13,1),(32,1)}
       6:{1,2,6}:{(1,1),(2,1),(14,1),(29,1),(52,1)}
       7:{2,4,6}:{(1,1),(15,1),(16,1),(35,1),(48,1),(49,1),(59,1)}
       8:{2,3,5}:{(1,1),(3,1),(14,1),(15,1),(16,1),(18,1),(34,1),(36,1),(37,1)}
       9:{1,5}:{(2,1),(3,1)}
      10:{4,5}:{(3,1),(13,1),(16,1),(18,1)}
      11:{1,3,5}:{(4,1),(9,1),(19,1),(28,1)}
      12:{1,5,6}:{(5,1),(9,1),(20,1),(55,1)}
      13:{4,6}:{(5,1),(10,1),(21,1)}
      14:{1,2,5}:{(6,1),(8,1),(9,1),(22,1),(45,1),(46,1)}
      15:{2,5}:{(7,1),(24,1),(55,1)}
      16:{4}:{(8,1)}
      17:{1,4,5}:{(9,1),(10,1),(19,1),(20,1),(22,1),(27,1),(28,1),(47,1),(55,1)}
      18:{2,5}:{(10,1),(21,1),(25,1)}
      19:{1,4}:{(11,1),(29,1),(30,1)}
      20:{1,4,6}:{(12,1),(13,1),(17,1),(31,1),(32,1),(49,1)}
      21:{2,6}:{(13,1),(18,1)}
      22:{1,4}:{(14,1),(16,1),(34,1)}
      23:{2,5,6}:{(15,1),(35,1),(59,1),(60,1)}
      24:{4,5}:{(15,1),(16,1),(35,1),(36,1)}
      25:{2,4}:{(16,1),(18,1),(37,1)}
      26:{3,4}:{(16,1),(34,1),(36,1),(37,1),(38,1)}
      27:{1,2,5}:{(17,1),(18,1),(29,1),(31,1),(33,1),(39,1),(61,1)}
      28:{3,5}:{(17,1),(30,1),(32,1),(34,1)}
      29:{1,2}:{(19,1),(40,1)}
      30:{3,4}:{(19,1),(28,1),(40,1),(47,1)}
      31:{1,2,6}:{(20,1),(21,1),(27,1),(41,1),(63,1)}
      32:{3,6}:{(20,1),(28,1)}
      33:{1,2,4}:{(22,1),(25,1),(27,1),(42,1),(46,1),(47,1),(56,1)}
      34:{3}:{(22,1)}
      35:{4,6}:{(23,1),(24,1),(44,1)}
      36:{3,5}:{(24,1),(26,1),(44,1),(45,1)}
      37:{2,3}:{(25,1),(26,1),(46,1)}
      38:{1,4}:{(26,1),(43,1),(45,1),(46,1)}
      39:{2,3,5}:{(27,1),(28,1),(40,1),(41,1),(42,1),(47,1),(54,1),(55,1),(57,1)}
      40:{2,3}:{(29,1),(30,1),(48,1)}
      41:{2,3,6}:{(31,1),(32,1),(39,1),(49,1),(59,1),(62,1)}
      42:{2,3}:{(33,1),(34,1),(51,1)}
      43:{1,3}:{(34,1),(38,1)}
      44:{3,6}:{(35,1),(36,1),(52,1)}
      45:{1,5}:{(36,1),(38,1),(52,1)}
      46:{1,2}:{(37,1),(38,1)}
      47:{4}:{(39,1)}
      48:{2,4}:{(40,1),(47,1),(54,1)}
      49:{4,6}:{(41,1),(47,1),(55,1)}
      50:{1,2,3}:{(42,1),(43,1),(46,1),(56,1)}
      51:{3,4}:{(42,1),(47,1),(56,1),(57,1)}
      52:{1,6}:{(44,1),(45,1)}
      53:{4,5}:{(47,1),(54,1),(55,1),(57,1),(58,1)}
      54:{2,5}:{(48,1),(53,1),(59,1)}
      55:{5}:{(49,1)}
      56:{1,4}:{(50,1),(51,1),(61,1)}
      57:{3,5}:{(51,1),(53,1),(61,1),(62,1)}
      58:{4,6}:{(53,1),(59,1),(60,1),(62,1)}
      59:{2,6}:{(54,1),(58,1)}
      60:{5,6}:{(55,1),(58,1)}
      61:{1,5}:{(56,1),(57,1),(63,1)}
      62:{3,6}:{(57,1),(58,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

 77 :  0:{2,5,6}:{(1,1),(5,1),(62,1),(63,1)}
       1:{4,6}:{(0,1),(2,1),(4,1)}
       2:{4,5}:{(1,1),(5,1),(6,1),(17,1)}
       3:{2,4,6}:{(1,1),(5,1),(7,1),(17,1),(57,1),(58,1),(62,1)}
       4:{3,6}:{(1,1),(6,1),(8,1)}
       5:{2,5}:{(2,1),(3,1),(61,1)}
       6:{3,5}:{(2,1),(4,1),(9,1),(11,1)}
       7:{2,3,6}:{(3,1),(4,1),(10,1),(12,1),(13,1),(39,1),(54,1)}
       8:{1,6}:{(4,1),(11,1)}
       9:{3,4}:{(6,1),(14,1),(15,1),(17,1),(31,1)}
      10:{2,3,5}:{(5,1),(6,1),(7,1),(14,1),(16,1),(17,1),(19,1),(30,1),(31,1)}
      11:{1,5}:{(6,1),(8,1),(15,1)}
      12:{1,2,6}:{(7,1),(8,1),(16,1),(18,1),(49,1)}
      13:{3,4,6}:{(7,1),(17,1),(18,1),(19,1),(31,1),(33,1),(47,1),(48,1),(58,1)}
      14:{2,3}:{(9,1),(21,1),(22,1)}
      15:{1,4}:{(9,1),(11,1),(20,1),(21,1)}
      16:{1,2,5}:{(10,1),(11,1),(12,1),(21,1),(23,1),(26,1)}
      17:{4}:{(10,1)}
      18:{1,4,6}:{(12,1),(13,1),(23,1),(25,1),(26,1),(42,1)}
      19:{3,5}:{(13,1),(24,1),(26,1),(61,1)}
      20:{1,3}:{(15,1),(31,1)}
      21:{1,2}:{(14,1),(15,1)}
      22:{2,4}:{(14,1),(17,1),(30,1)}
      23:{1,4}:{(16,1),(17,1),(31,1)}
      24:{4,5}:{(17,1),(19,1),(30,1),(33,1)}
      25:{1,3,6}:{(18,1),(31,1),(34,1),(48,1)}
      26:{1,5}:{(18,1),(19,1)}
      27:{3,5,6}:{(19,1),(33,1),(35,1),(48,1)}
      28:{1,2,3}:{(20,1),(21,1),(36,1),(37,1)}
      29:{1,2,4}:{(21,1),(22,1),(23,1),(36,1),(37,1),(38,1),(52,1)}
      30:{2,5}:{(22,1),(24,1),(39,1)}
      31:{3}:{(23,1)}
      32:{1,4,5}:{(23,1),(24,1),(26,1),(38,1),(40,1),(41,1),(42,1),(52,1),(61,1)}
      33:{4,6}:{(24,1),(27,1),(39,1)}
      34:{1,3,5}:{(25,1),(26,1),(40,1),(42,1)}
      35:{1,5,6}:{(26,1),(27,1),(41,1),(61,1)}
      36:{1,4}:{(28,1),(43,1),(44,1)}
      37:{2,3}:{(29,1),(31,1),(43,1)}
      38:{1,2,5}:{(29,1),(30,1),(32,1),(44,1),(45,1),(46,1),(49,1)}
      39:{2,6}:{(30,1),(33,1)}
      40:{3,5}:{(31,1),(32,1),(47,1),(48,1)}
      41:{1,4,6}:{(32,1),(33,1),(35,1),(46,1),(48,1),(58,1)}
      42:{1,4}:{(34,1),(47,1),(49,1)}
      43:{3,4}:{(36,1),(37,1),(50,1),(52,1)}
      44:{1,5}:{(36,1),(50,1),(51,1)}
      45:{2,3,5}:{(37,1),(38,1),(40,1),(50,1),(52,1),(53,1),(54,1),(59,1),(61,1)}
      46:{1,2,6}:{(38,1),(39,1),(41,1),(51,1),(53,1)}
      47:{3,4}:{(40,1),(42,1),(52,1),(54,1)}
      48:{3,6}:{(40,1),(41,1)}
      49:{1,2}:{(42,1),(54,1)}
      50:{3,5}:{(43,1),(44,1),(55,1),(56,1)}
      51:{1,6}:{(44,1),(56,1)}
      52:{4}:{(45,1)}
      53:{2,3,6}:{(45,1),(46,1),(48,1),(56,1),(58,1),(62,1)}
      54:{2,3}:{(47,1),(49,1),(57,1)}
      55:{4,5}:{(50,1),(52,1),(59,1),(60,1),(61,1)}
      56:{3,6}:{(50,1),(51,1),(60,1)}
      57:{2,4}:{(52,1),(54,1),(59,1)}
      58:{4,6}:{(52,1),(53,1),(61,1)}
      59:{2,5}:{(55,1),(57,1),(62,1)}
      60:{4,6}:{(55,1),(56,1),(62,1),(63,1)}
      61:{5}:{(58,1)}
      62:{2,6}:{(59,1),(60,1)}
      63:{5,6}:{(60,1),(61,1)}

 78 :  0:{3,5,6}:{(1,1),(2,1),(9,1),(11,1)}
       1:{1,5,6}:{(0,1),(3,1),(20,1),(36,1)}
       2:{4,6}:{(0,1),(4,1),(5,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(8,1),(9,1),(27,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(30,1)}
       5:{2,6}:{(2,1),(10,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(24,1),(27,1),(30,1),(50,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(20,1),(34,1),(35,1),(36,1),(39,1)}
       8:{1,2,6}:{(3,1),(5,1),(14,1),(16,1),(63,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1),(18,1)}
      11:{3,5}:{(4,1),(6,1),(20,1),(36,1)}
      12:{2,3,6}:{(5,1),(6,1),(19,1),(21,1),(22,1),(33,1),(58,1)}
      13:{1,4,6}:{(6,1),(17,1),(20,1),(21,1),(34,1),(39,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(23,1),(25,1),(44,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(24,1),(50,1)}
      16:{2,3,6}:{(8,1),(9,1),(25,1),(27,1),(60,1),(61,1)}
      17:{1,3,6}:{(9,1),(13,1),(26,1),(50,1)}
      18:{2,4}:{(10,1),(28,1),(30,1)}
      19:{2,3,5}:{(10,1),(11,1),(12,1),(28,1),(29,1),(30,1),(31,1),(49,1),(50,1)}
      20:{1,5}:{(11,1),(13,1)}
      21:{1,2,6}:{(12,1),(13,1),(29,1),(44,1),(62,1)}
      22:{2,4,6}:{(12,1),(27,1),(30,1),(31,1),(45,1),(51,1),(61,1)}
      23:{1,2,4}:{(14,1),(18,1),(32,1),(35,1),(37,1),(39,1),(52,1)}
      24:{3,4}:{(15,1),(33,1),(34,1),(35,1)}
      25:{2,3,5}:{(14,1),(15,1),(16,1),(32,1),(33,1),(35,1),(36,1),(53,1),(54,1)}
      26:{1,3,5}:{(15,1),(17,1),(20,1),(34,1)}
      27:{4,6}:{(16,1),(35,1),(36,1)}
      28:{2,3}:{(18,1),(37,1),(38,1)}
      29:{1,2,5}:{(19,1),(20,1),(21,1),(37,1),(39,1),(57,1)}
      30:{4}:{(19,1)}
      31:{2,5}:{(22,1),(36,1),(40,1)}
      32:{2,3}:{(23,1),(43,1),(50,1)}
      33:{2,3}:{(24,1),(44,1),(45,1)}
      34:{1,4}:{(24,1),(26,1),(44,1)}
      35:{4}:{(25,1)}
      36:{5}:{(27,1)}
      37:{1,2}:{(28,1),(48,1)}
      38:{3,4}:{(28,1),(30,1),(48,1),(49,1),(50,1)}
      39:{1,4}:{(29,1),(30,1),(50,1)}
      40:{4,5}:{(30,1),(31,1),(49,1),(51,1)}
      41:{2,5,6}:{(31,1),(47,1),(51,1),(61,1)}
      42:{1,2,3}:{(32,1),(37,1),(52,1),(56,1)}
      43:{3,4}:{(32,1),(35,1),(52,1),(53,1)}
      44:{1,2}:{(33,1),(34,1)}
      45:{2,4}:{(33,1),(35,1),(54,1)}
      46:{4,5}:{(35,1),(36,1),(53,1),(54,1),(55,1)}
      47:{5,6}:{(36,1),(55,1)}
      48:{1,4}:{(37,1),(38,1),(56,1),(57,1)}
      49:{3,5}:{(38,1),(40,1),(57,1),(58,1)}
      50:{3}:{(39,1)}
      51:{4,6}:{(40,1),(41,1),(58,1)}
      52:{1,4}:{(42,1),(43,1),(59,1)}
      53:{3,5}:{(43,1),(46,1),(59,1),(60,1)}
      54:{2,5}:{(45,1),(46,1),(61,1)}
      55:{4,6}:{(46,1),(47,1),(60,1),(61,1)}
      56:{1,3}:{(48,1),(50,1)}
      57:{1,5}:{(48,1),(49,1),(62,1)}
      58:{3,6}:{(49,1),(51,1),(62,1)}
      59:{1,5}:{(52,1),(53,1),(63,1)}
      60:{3,6}:{(53,1),(55,1),(63,1)}
      61:{2,6}:{(54,1),(55,1)}
      62:{1,6}:{(57,1),(58,1)}
      63:{1,6}:{(59,1),(60,1)}

 79 :  0:{2,3,6}:{(1,1),(2,1),(3,1),(8,1),(24,1),(25,1)}
       1:{1,2,6}:{(0,1),(4,1),(5,1),(29,1),(31,1)}
       2:{4,6}:{(0,1),(6,1),(7,1)}
       3:{2,3,5}:{(0,1),(5,1),(6,1),(7,1),(15,1),(16,1),(18,1),(19,1),(20,1),(29,1)}
       4:{1,4,6}:{(1,1),(2,1),(8,1),(9,1),(10,1),(22,1)}
       5:{1,2,5}:{(1,1),(3,1),(9,1),(10,1),(27,1),(28,1)}
       6:{5}:{(2,1)}
       7:{4}:{(3,1)}
       8:{3,6}:{(4,1),(15,1),(16,1)}
       9:{1,5}:{(4,1),(6,1),(15,1)}
      10:{1,4}:{(5,1),(7,1),(16,1)}
      11:{5,6}:{(6,1),(17,1),(38,1)}
      12:{4,5}:{(6,1),(7,1),(17,1),(18,1),(19,1),(33,1),(38,1)}
      13:{2,4}:{(7,1),(18,1),(20,1),(29,1),(33,1),(44,1)}
      14:{3,4}:{(7,1),(16,1),(19,1),(20,1),(21,1),(33,1),(39,1)}
      15:{3,5}:{(8,1),(9,1),(22,1)}
      16:{3}:{(10,1)}
      17:{4,6}:{(11,1),(12,1),(24,1),(25,1)}
      18:{2,5}:{(12,1),(13,1),(24,1)}
      19:{3,5}:{(12,1),(14,1),(25,1),(27,1)}
      20:{2,3}:{(13,1),(14,1),(28,1)}
      21:{1,4}:{(14,1),(23,1),(27,1),(28,1)}
      22:{4}:{(15,1),(29,1)}
      23:{1,3}:{(16,1),(21,1),(39,1)}
      24:{2,6}:{(17,1),(18,1)}
      25:{3,6}:{(17,1),(19,1),(31,1)}
      26:{2,3,5}:{(18,1),(19,1),(20,1),(30,1),(32,1),(33,1),(38,1),(39,1),(42,1),(44,1)}
      27:{1,5}:{(19,1),(21,1),(31,1)}
      28:{1,2}:{(20,1),(21,1)}
      29:{2}:{(22,1)}
      30:{2,3,6}:{(24,1),(25,1),(26,1),(34,1),(35,1),(40,1)}
      31:{1,6}:{(25,1),(27,1)}
      32:{1,2,5}:{(26,1),(27,1),(28,1),(34,1),(36,1),(41,1)}
      33:{4}:{(26,1)}
      34:{1,2,6}:{(30,1),(31,1),(32,1),(37,1),(44,1)}
      35:{4,6}:{(30,1),(33,1),(38,1)}
      36:{1,4}:{(32,1),(33,1),(39,1)}
      37:{1,4,6}:{(34,1),(35,1),(36,1),(40,1),(41,1),(43,1)}
      38:{5}:{(35,1)}
      39:{3}:{(36,1)}
      40:{3,6}:{(37,1),(39,1),(42,1)}
      41:{1,5}:{(37,1),(38,1),(42,1)}
      42:{3,5}:{(40,1),(41,1),(43,1)}
      43:{4}:{(42,1),(44,1)}
      44:{2}:{(43,1)}

 80 :  0:{2,3}:{(1,1),(2,1),(5,1)}
       1:{1,2}:{(0,1),(3,1),(12,1)}
       2:{4}:{(0,1),(4,1)}
       3:{1,4}:{(1,1),(2,1),(5,1),(6,1),(10,1)}
       4:{5}:{(2,1),(7,1)}
       5:{3}:{(3,1)}
       6:{1,5}:{(3,1),(4,1),(8,1),(9,1)}
       7:{6}:{(4,1)}
       8:{3,5}:{(5,1),(6,1),(10,1),(11,1),(15,1)}
       9:{1,6}:{(6,1),(7,1),(11,1),(19,1)}
      10:{4}:{(8,1),(12,1)}
      11:{3,6}:{(8,1),(9,1),(13,1),(18,1)}
      12:{2}:{(10,1)}
      13:{4,6}:{(10,1),(11,1),(14,1),(15,1),(17,1)}
      14:{2,6}:{(12,1),(13,1),(16,1)}
      15:{5}:{(13,1)}
      16:{2,5}:{(14,1),(15,1),(17,1)}
      17:{4}:{(16,1),(18,1)}
      18:{3}:{(17,1),(19,1)}
      19:{1}:{(18,1)}

 81 :  0:{2,4,6}:{(3,1),(4,1),(17,1),(18,1),(44,1),(53,1),(55,1)}
       1:{3,4,6}:{(3,1),(5,1),(6,1),(17,1),(22,1),(25,1),(37,1),(42,1),(53,1)}
       2:{1,3,6}:{(5,1),(7,1),(37,1),(42,1)}
       3:{2,3,6}:{(0,1),(1,1),(8,1),(9,1),(29,1),(34,1),(35,1)}
       4:{2,5}:{(0,1),(11,1),(58,1)}
       5:{1,4,6}:{(1,1),(2,1),(8,1),(12,1),(15,1),(26,1)}
       6:{3,5}:{(1,1),(12,1),(14,1),(58,1)}
       7:{1,3,5}:{(2,1),(12,1),(15,1),(33,1)}
       8:{1,2,6}:{(3,1),(5,1),(16,1),(24,1),(40,1)}
       9:{2,3,5}:{(3,1),(4,1),(6,1),(16,1),(17,1),(19,1),(23,1),(37,1),(38,1)}
      10:{2,5,6}:{(4,1),(18,1),(55,1),(62,1)}
      11:{4,5}:{(4,1),(17,1),(18,1),(19,1)}
      12:{1,5}:{(5,1),(6,1)}
      13:{3,5,6}:{(6,1),(20,1),(22,1),(42,1)}
      14:{4,5}:{(6,1),(17,1),(22,1),(23,1)}
      15:{1,4}:{(7,1),(24,1),(25,1)}
      16:{1,2,5}:{(8,1),(9,1),(12,1),(26,1),(30,1),(47,1)}
      17:{4}:{(9,1)}
      18:{4,6}:{(10,1),(11,1),(29,1)}
      19:{3,5}:{(11,1),(28,1),(29,1),(30,1)}
      20:{1,5,6}:{(12,1),(13,1),(31,1),(58,1)}
      21:{1,4,5}:{(12,1),(14,1),(15,1),(26,1),(31,1),(32,1),(33,1),(49,1),(58,1)}
      22:{4,6}:{(13,1),(14,1),(34,1)}
      23:{2,5}:{(14,1),(27,1),(34,1)}
      24:{1,2}:{(15,1),(35,1)}
      25:{3,4}:{(15,1),(33,1),(35,1),(49,1)}
      26:{1,4}:{(16,1),(17,1),(37,1)}
      27:{2,4}:{(17,1),(23,1),(38,1)}
      28:{3,4}:{(17,1),(19,1),(37,1),(38,1),(39,1)}
      29:{3,6}:{(18,1),(19,1),(40,1)}
      30:{1,5}:{(19,1),(39,1),(40,1)}
      31:{1,4,6}:{(20,1),(21,1),(22,1),(41,1),(42,1),(53,1)}
      32:{1,2,5}:{(21,1),(23,1),(24,1),(36,1),(41,1),(43,1),(60,1)}
      33:{3,5}:{(21,1),(25,1),(37,1),(42,1)}
      34:{2,6}:{(22,1),(23,1)}
      35:{2,3}:{(24,1),(25,1),(44,1)}
      36:{1,2,4}:{(26,1),(27,1),(32,1),(45,1),(47,1),(49,1),(56,1)}
      37:{3}:{(26,1)}
      38:{2,3}:{(27,1),(28,1),(47,1)}
      39:{1,4}:{(28,1),(30,1),(46,1),(47,1)}
      40:{1,6}:{(29,1),(30,1)}
      41:{1,2,6}:{(31,1),(32,1),(34,1),(48,1),(63,1)}
      42:{3,6}:{(31,1),(33,1)}
      43:{2,3,5}:{(32,1),(33,1),(35,1),(45,1),(48,1),(49,1),(50,1),(57,1),(58,1)}
      44:{2,4}:{(35,1),(49,1),(50,1)}
      45:{2,3}:{(36,1),(37,1),(52,1)}
      46:{1,3}:{(37,1),(39,1)}
      47:{1,2}:{(38,1),(39,1)}
      48:{2,3,6}:{(41,1),(42,1),(43,1),(53,1),(55,1),(61,1)}
      49:{4}:{(43,1)}
      50:{2,5}:{(44,1),(54,1),(55,1)}
      51:{1,2,3}:{(45,1),(46,1),(47,1),(56,1)}
      52:{3,4}:{(45,1),(49,1),(56,1),(57,1)}
      53:{4,6}:{(48,1),(49,1),(58,1)}
      54:{4,5}:{(49,1),(50,1),(57,1),(58,1),(59,1)}
      55:{2,6}:{(50,1),(59,1)}
      56:{1,4}:{(51,1),(52,1),(60,1)}
      57:{3,5}:{(52,1),(54,1),(60,1),(61,1)}
      58:{5}:{(53,1)}
      59:{4,6}:{(54,1),(55,1),(61,1),(62,1)}
      60:{1,5}:{(56,1),(57,1),(63,1)}
      61:{3,6}:{(57,1),(59,1),(63,1)}
      62:{5,6}:{(58,1),(59,1)}
      63:{1,6}:{(60,1),(61,1)}

 82 :  0:{1,3,5}:{(1,1),(2,1),(8,1),(13,1)}
       1:{1,4}:{(0,1),(4,1),(5,1)}
       2:{1,3,6}:{(0,1),(6,1),(17,1),(40,1)}
       3:{1,4,5}:{(1,1),(7,1),(8,1),(9,1),(13,1),(24,1),(30,1),(31,1),(45,1)}
       4:{1,2}:{(1,1),(10,1)}
       5:{3,4}:{(1,1),(8,1),(10,1),(24,1)}
       6:{1,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(30,1)}
       7:{1,2,5}:{(3,1),(4,1),(14,1),(15,1),(16,1),(41,1),(52,1)}
       8:{3,5}:{(3,1),(5,1),(17,1),(40,1)}
       9:{1,4,6}:{(3,1),(16,1),(17,1),(18,1),(35,1),(36,1)}
      10:{2,3}:{(4,1),(5,1),(19,1)}
      11:{1,2,6}:{(4,1),(6,1),(20,1),(21,1),(63,1)}
      12:{3,4,6}:{(5,1),(6,1),(17,1),(20,1),(22,1),(35,1),(36,1),(39,1),(40,1)}
      13:{1,5}:{(6,1),(22,1)}
      14:{1,2,4}:{(7,1),(23,1),(24,1),(30,1),(42,1),(49,1),(62,1)}
      15:{2,3,5}:{(7,1),(8,1),(10,1),(23,1),(24,1),(25,1),(27,1),(43,1),(45,1)}
      16:{1,2,6}:{(7,1),(9,1),(25,1),(46,1),(59,1)}
      17:{3,6}:{(8,1),(9,1)}
      18:{1,5,6}:{(9,1),(13,1),(26,1),(45,1)}
      19:{2,4}:{(10,1),(24,1),(27,1)}
      20:{2,3,6}:{(10,1),(11,1),(12,1),(28,1),(29,1),(46,1),(60,1)}
      21:{1,2,5}:{(11,1),(13,1),(29,1),(30,1),(61,1),(62,1)}
      22:{3,5}:{(12,1),(13,1),(31,1),(45,1)}
      23:{2,3}:{(14,1),(33,1),(40,1)}
      24:{4}:{(15,1)}
      25:{2,3,6}:{(15,1),(16,1),(17,1),(35,1),(37,1),(53,1)}
      26:{3,5,6}:{(17,1),(18,1),(22,1),(36,1)}
      27:{2,5}:{(19,1),(34,1),(37,1)}
      28:{2,4,6}:{(19,1),(20,1),(35,1),(37,1),(38,1),(39,1),(55,1)}
      29:{2,3,5}:{(20,1),(21,1),(22,1),(38,1),(39,1),(40,1),(41,1),(56,1),(57,1)}
      30:{1,4}:{(21,1),(39,1),(40,1)}
      31:{4,5}:{(22,1),(36,1),(39,1),(41,1)}
      32:{1,2,3}:{(23,1),(42,1),(51,1),(62,1)}
      33:{3,4}:{(23,1),(24,1),(42,1),(43,1)}
      34:{4,5}:{(24,1),(27,1),(43,1),(44,1),(45,1)}
      35:{4,6}:{(24,1),(25,1),(45,1)}
      36:{4,6}:{(26,1),(31,1),(46,1)}
      37:{2,6}:{(27,1),(44,1)}
      38:{2,5}:{(28,1),(45,1),(48,1)}
      39:{4}:{(29,1)}
      40:{3}:{(30,1)}
      41:{2,5}:{(31,1),(46,1),(49,1)}
      42:{1,4}:{(32,1),(33,1),(52,1)}
      43:{3,5}:{(33,1),(34,1),(52,1),(53,1)}
      44:{4,6}:{(34,1),(37,1),(53,1),(54,1)}
      45:{5}:{(35,1)}
      46:{2,6}:{(36,1),(41,1)}
      47:{2,5,6}:{(37,1),(38,1),(54,1),(55,1)}
      48:{4,5}:{(38,1),(39,1),(55,1),(56,1)}
      49:{2,4}:{(39,1),(41,1),(57,1)}
      50:{3,4}:{(39,1),(40,1),(56,1),(57,1),(58,1)}
      51:{1,3}:{(40,1),(58,1)}
      52:{1,5}:{(42,1),(43,1),(59,1)}
      53:{3,6}:{(43,1),(44,1),(59,1)}
      54:{5,6}:{(44,1),(45,1)}
      55:{4,6}:{(47,1),(48,1),(60,1)}
      56:{3,5}:{(48,1),(50,1),(60,1),(61,1)}
      57:{2,3}:{(49,1),(50,1),(62,1)}
      58:{1,4}:{(50,1),(51,1),(61,1),(62,1)}
      59:{1,6}:{(52,1),(53,1)}
      60:{3,6}:{(55,1),(56,1),(63,1)}
      61:{1,5}:{(56,1),(58,1),(63,1)}
      62:{1,2}:{(57,1),(58,1)}
      63:{1,6}:{(60,1),(61,1)}

 83 :  0:{1,5,6}:{(3,1),(4,1),(38,1),(42,1)}
       1:{1,4,5}:{(4,1),(5,1),(6,1),(16,1),(20,1),(23,1),(38,1),(42,1),(53,1)}
       2:{1,2,4}:{(5,1),(7,1),(23,1),(24,1),(36,1),(51,1),(53,1)}
       3:{3,5,6}:{(0,1),(8,1),(11,1),(27,1)}
       4:{1,4,6}:{(0,1),(1,1),(8,1),(10,1),(11,1),(32,1)}
       5:{1,2,5}:{(1,1),(2,1),(10,1),(12,1),(26,1),(30,1),(34,1)}
       6:{3,5}:{(1,1),(9,1),(11,1),(58,1)}
       7:{2,3}:{(2,1),(15,1),(58,1)}
       8:{4,6}:{(3,1),(16,1),(17,1)}
       9:{3,4}:{(6,1),(19,1),(20,1),(23,1)}
      10:{1,2,6}:{(4,1),(5,1),(17,1),(21,1),(44,1)}
      11:{3,6}:{(4,1),(6,1)}
      12:{2,3,5}:{(5,1),(6,1),(7,1),(19,1),(21,1),(23,1),(25,1),(41,1),(42,1)}
      13:{1,3,5}:{(6,1),(20,1),(22,1),(38,1)}
      14:{1,2,3}:{(7,1),(24,1),(51,1),(60,1)}
      15:{3,4}:{(7,1),(23,1),(24,1),(25,1)}
      16:{4,5}:{(8,1),(26,1),(27,1),(47,1)}
      17:{2,6}:{(8,1),(26,1)}
      18:{3,4,6}:{(8,1),(9,1),(11,1),(27,1),(28,1),(29,1),(32,1),(47,1),(58,1)}
      19:{2,3}:{(9,1),(30,1),(31,1)}
      20:{1,4}:{(9,1),(13,1),(30,1)}
      21:{2,3,6}:{(10,1),(11,1),(12,1),(32,1),(35,1),(49,1)}
      22:{1,3,6}:{(11,1),(13,1),(29,1),(58,1)}
      23:{4}:{(12,1)}
      24:{1,4}:{(14,1),(15,1),(34,1)}
      25:{3,5}:{(15,1),(33,1),(34,1),(35,1)}
      26:{2,5}:{(16,1),(17,1),(36,1)}
      27:{3,5}:{(16,1),(18,1),(38,1),(42,1)}
      28:{2,3,6}:{(17,1),(18,1),(19,1),(37,1),(39,1),(40,1),(62,1)}
      29:{1,4,6}:{(18,1),(20,1),(22,1),(38,1),(39,1),(53,1)}
      30:{1,2}:{(19,1),(20,1)}
      31:{2,4}:{(19,1),(23,1),(41,1)}
      32:{4,6}:{(21,1),(23,1),(42,1)}
      33:{4,5}:{(23,1),(25,1),(41,1),(42,1),(43,1)}
      34:{1,5}:{(24,1),(25,1),(44,1)}
      35:{3,6}:{(25,1),(43,1),(44,1)}
      36:{2,4}:{(26,1),(45,1),(47,1)}
      37:{2,3,5}:{(26,1),(27,1),(28,1),(45,1),(46,1),(47,1),(48,1),(57,1),(58,1)}
      38:{1,5}:{(27,1),(29,1)}
      39:{1,2,6}:{(28,1),(29,1),(30,1),(46,1),(63,1)}
      40:{2,4,6}:{(28,1),(31,1),(32,1),(47,1),(48,1),(49,1),(59,1)}
      41:{2,5}:{(31,1),(33,1),(49,1)}
      42:{5}:{(32,1)}
      43:{4,6}:{(33,1),(35,1),(49,1),(50,1)}
      44:{1,6}:{(34,1),(35,1)}
      45:{2,3}:{(36,1),(51,1),(52,1)}
      46:{1,2,5}:{(37,1),(38,1),(39,1),(51,1),(53,1),(61,1)}
      47:{4}:{(37,1)}
      48:{2,5}:{(40,1),(42,1),(54,1)}
      49:{2,6}:{(41,1),(43,1)}
      50:{5,6}:{(42,1),(43,1)}
      51:{1,2}:{(45,1),(56,1)}
      52:{3,4}:{(45,1),(47,1),(56,1),(57,1),(58,1)}
      53:{1,4}:{(46,1),(47,1),(58,1)}
      54:{4,5}:{(47,1),(48,1),(57,1),(59,1)}
      55:{2,5,6}:{(48,1),(49,1),(50,1),(59,1)}
      56:{1,4}:{(51,1),(52,1),(60,1),(61,1)}
      57:{3,5}:{(52,1),(54,1),(61,1),(62,1)}
      58:{3}:{(53,1)}
      59:{4,6}:{(54,1),(55,1),(62,1)}
      60:{1,3}:{(56,1),(58,1)}
      61:{1,5}:{(56,1),(57,1),(63,1)}
      62:{3,6}:{(57,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

 84 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(13,1),(25,1),(30,1),(48,1),(49,1),(56,1),(57,1)}
       1:{2,3,6}:{(0,1),(5,1),(6,1),(16,1),(43,1),(44,1),(58,1)}
       2:{1,2,5}:{(0,1),(6,1),(7,1),(17,1),(36,1),(45,1),(59,1)}
       3:{1,2,5,6}:{(2,1),(8,1),(9,1),(28,1),(47,1),(48,1),(49,1)}
       4:{1,2,3,6}:{(1,1),(10,1),(11,1),(27,1),(48,1),(49,1),(50,1)}
       5:{3,4,6}:{(1,1),(10,1),(12,1),(13,1),(31,1),(32,1),(50,1),(57,1)}
       6:{2,3,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(33,1),(34,1)}
       7:{1,4,5}:{(2,1),(9,1),(13,1),(14,1),(24,1),(35,1),(47,1),(56,1)}
       8:{2,3,5,6}:{(3,1),(6,1),(15,1),(16,1),(19,1),(36,1),(37,1),(38,1),(44,1),(54,1),(59,1)}
       9:{1,4,6}:{(3,1),(7,1),(15,1),(16,1)}
      10:{1,4,6}:{(4,1),(5,1),(17,1),(18,1)}
      11:{1,2,3,5}:{(4,1),(6,1),(17,1),(18,1),(23,1),(41,1),(42,1),(43,1),(45,1),(52,1),(58,1)}
      12:{3,5}:{(5,1),(17,1),(20,1),(59,1)}
      13:{4}:{(6,1)}
      14:{3,5}:{(7,1),(16,1),(22,1),(58,1)}
      15:{4,6}:{(8,1),(13,1),(24,1)}
      16:{3,6}:{(9,1),(14,1)}
      17:{1,5}:{(10,1),(12,1)}
      18:{1,4}:{(11,1),(13,1),(31,1)}
      19:{3,5,6}:{(12,1),(28,1),(32,1),(50,1)}
      20:{4,5}:{(12,1),(13,1),(32,1),(33,1)}
      21:{2,4}:{(13,1),(33,1),(34,1)}
      22:{3,4}:{(13,1),(14,1),(34,1),(35,1)}
      23:{1,3,5}:{(14,1),(27,1),(35,1),(47,1)}
      24:{4,5}:{(15,1),(36,1),(37,1),(53,1),(59,1)}
      25:{2,4,6}:{(15,1),(21,1),(36,1),(38,1),(44,1),(53,1)}
      26:{3,4,6}:{(15,1),(16,1),(22,1),(37,1),(38,1),(39,1),(53,1),(58,1)}
      27:{1,3,6}:{(16,1),(23,1),(39,1),(58,1)}
      28:{1,5,6}:{(17,1),(19,1),(40,1),(59,1)}
      29:{1,4,5}:{(17,1),(18,1),(20,1),(40,1),(41,1),(42,1),(55,1),(59,1)}
      30:{1,2,4}:{(18,1),(21,1),(41,1),(43,1),(45,1),(55,1)}
      31:{3,4}:{(18,1),(42,1),(43,1),(55,1),(58,1)}
      32:{4,6}:{(19,1),(20,1),(44,1)}
      33:{2,5}:{(20,1),(21,1),(44,1)}
      34:{2,3}:{(21,1),(22,1),(45,1)}
      35:{1,4}:{(22,1),(23,1),(45,1)}
      36:{2,5}:{(24,1),(25,1)}
      37:{3,5}:{(24,1),(26,1),(47,1)}
      38:{2,3,6}:{(25,1),(26,1),(34,1),(46,1),(48,1)}
      39:{1,4,6}:{(26,1),(27,1),(35,1),(47,1),(48,1),(56,1)}
      40:{1,4,6}:{(28,1),(29,1),(32,1),(49,1),(50,1),(57,1)}
      41:{1,2,5}:{(29,1),(30,1),(33,1),(49,1),(51,1)}
      42:{3,5}:{(29,1),(31,1),(50,1)}
      43:{2,3}:{(30,1),(31,1)}
      44:{2,6}:{(32,1),(33,1)}
      45:{1,2}:{(34,1),(35,1)}
      46:{2,3,5}:{(36,1),(37,1),(38,1),(52,1),(53,1),(58,1)}
      47:{1,5}:{(37,1),(39,1)}
      48:{1,2,6}:{(38,1),(39,1),(45,1),(52,1)}
      49:{1,2,6}:{(40,1),(41,1),(44,1),(54,1)}
      50:{3,6}:{(40,1),(42,1)}
      51:{2,3,5}:{(41,1),(42,1),(43,1),(54,1),(55,1),(59,1)}
      52:{1,2,5}:{(46,1),(47,1),(48,1),(56,1)}
      53:{4}:{(46,1)}
      54:{2,3,6}:{(49,1),(50,1),(51,1),(57,1)}
      55:{4}:{(51,1)}
      56:{1,4}:{(52,1),(53,1),(58,1)}
      57:{4,6}:{(54,1),(55,1),(59,1)}
      58:{3}:{(56,1)}
      59:{5}:{(57,1)}

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

 86 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

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

 88 :  0:{3,4,6}:{(2,1),(3,1),(4,1),(14,1),(17,1),(21,1),(33,1),(35,1),(50,1)}
       1:{1,3,6}:{(3,1),(5,1),(33,1),(35,1)}
       2:{2,3,6}:{(0,1),(7,1),(8,1),(9,1),(23,1),(31,1),(45,1)}
       3:{1,4,6}:{(0,1),(1,1),(7,1),(10,1),(12,1),(24,1)}
       4:{3,5}:{(0,1),(10,1),(11,1),(56,1)}
       5:{1,3,5}:{(1,1),(10,1),(12,1),(30,1)}
       6:{3,5,6}:{(4,1),(13,1),(14,1),(33,1)}
       7:{1,2,6}:{(2,1),(3,1),(15,1),(20,1),(53,1)}
       8:{2,4,6}:{(2,1),(16,1),(17,1),(36,1),(41,1),(50,1),(55,1)}
       9:{2,3,5}:{(2,1),(4,1),(15,1),(16,1),(17,1),(19,1),(35,1),(37,1),(38,1)}
      10:{1,5}:{(3,1),(4,1)}
      11:{4,5}:{(4,1),(14,1),(17,1),(19,1)}
      12:{1,4}:{(5,1),(20,1),(21,1)}
      13:{1,5,6}:{(6,1),(10,1),(22,1),(56,1)}
      14:{4,6}:{(6,1),(11,1),(23,1)}
      15:{1,2,5}:{(7,1),(9,1),(10,1),(24,1),(46,1),(47,1)}
      16:{2,5}:{(8,1),(26,1),(56,1)}
      17:{4}:{(9,1)}
      18:{1,4,5}:{(10,1),(11,1),(12,1),(22,1),(24,1),(29,1),(30,1),(48,1),(56,1)}
      19:{2,5}:{(11,1),(23,1),(27,1)}
      20:{1,2}:{(12,1),(31,1)}
      21:{3,4}:{(12,1),(30,1),(31,1),(48,1)}
      22:{1,4,6}:{(13,1),(14,1),(18,1),(32,1),(33,1),(50,1)}
      23:{2,6}:{(14,1),(19,1)}
      24:{1,4}:{(15,1),(17,1),(35,1)}
      25:{2,5,6}:{(16,1),(36,1),(55,1),(60,1)}
      26:{4,5}:{(16,1),(17,1),(36,1),(37,1)}
      27:{2,4}:{(17,1),(19,1),(38,1)}
      28:{3,4}:{(17,1),(35,1),(37,1),(38,1),(39,1)}
      29:{1,2,5}:{(18,1),(19,1),(20,1),(32,1),(34,1),(40,1),(61,1)}
      30:{3,5}:{(18,1),(21,1),(33,1),(35,1)}
      31:{2,3}:{(20,1),(21,1),(41,1)}
      32:{1,2,6}:{(22,1),(23,1),(29,1),(42,1),(63,1)}
      33:{3,6}:{(22,1),(30,1)}
      34:{1,2,4}:{(24,1),(27,1),(29,1),(43,1),(47,1),(48,1),(57,1)}
      35:{3}:{(24,1)}
      36:{4,6}:{(25,1),(26,1),(45,1)}
      37:{3,5}:{(26,1),(28,1),(45,1),(46,1)}
      38:{2,3}:{(27,1),(28,1),(47,1)}
      39:{1,4}:{(28,1),(44,1),(46,1),(47,1)}
      40:{2,3,5}:{(29,1),(30,1),(31,1),(42,1),(43,1),(48,1),(49,1),(56,1),(58,1)}
      41:{2,4}:{(31,1),(48,1),(49,1)}
      42:{2,3,6}:{(32,1),(33,1),(40,1),(50,1),(55,1),(62,1)}
      43:{2,3}:{(34,1),(35,1),(52,1)}
      44:{1,3}:{(35,1),(39,1)}
      45:{3,6}:{(36,1),(37,1),(53,1)}
      46:{1,5}:{(37,1),(39,1),(53,1)}
      47:{1,2}:{(38,1),(39,1)}
      48:{4}:{(40,1)}
      49:{2,5}:{(41,1),(54,1),(55,1)}
      50:{4,6}:{(42,1),(48,1),(56,1)}
      51:{1,2,3}:{(43,1),(44,1),(47,1),(57,1)}
      52:{3,4}:{(43,1),(48,1),(57,1),(58,1)}
      53:{1,6}:{(45,1),(46,1)}
      54:{4,5}:{(48,1),(49,1),(56,1),(58,1),(59,1)}
      55:{2,6}:{(49,1),(59,1)}
      56:{5}:{(50,1)}
      57:{1,4}:{(51,1),(52,1),(61,1)}
      58:{3,5}:{(52,1),(54,1),(61,1),(62,1)}
      59:{4,6}:{(54,1),(55,1),(60,1),(62,1)}
      60:{5,6}:{(56,1),(59,1)}
      61:{1,5}:{(57,1),(58,1),(63,1)}
      62:{3,6}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

 89 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(8,1),(10,1),(13,1),(25,1),(41,1),(52,1),(56,1),(59,1)}
       1:{1,4}:{(0,1),(5,1),(32,1)}
       2:{1,2,3,6}:{(0,1),(6,1),(15,1),(16,1),(18,1),(45,1),(55,1)}
       3:{1,4,5}:{(1,1),(7,1),(8,1),(9,1),(13,1),(21,1),(27,1),(35,1)}
       4:{1,2,4}:{(1,1),(7,1),(10,1),(21,1),(39,1),(52,1)}
       5:{3,4}:{(1,1),(8,1),(10,1),(21,1),(59,1)}
       6:{1,4,6}:{(1,1),(2,1),(12,1),(13,1)}
       7:{1,2,5}:{(3,1),(4,1),(14,1),(15,1),(34,1)}
       8:{3,5}:{(3,1),(5,1),(16,1)}
       9:{1,4,6}:{(3,1),(15,1),(16,1),(17,1),(28,1),(31,1)}
      10:{2,3}:{(4,1),(5,1)}
      11:{1,2,4,6}:{(4,1),(6,1),(15,1),(18,1),(19,1),(28,1),(30,1),(32,1),(43,1),(55,1),(58,1)}
      12:{3,4,6}:{(5,1),(6,1),(16,1),(18,1),(20,1),(28,1),(31,1),(32,1)}
      13:{1,5}:{(6,1),(20,1)}
      14:{2,3,5}:{(7,1),(8,1),(10,1),(21,1),(22,1),(35,1)}
      15:{1,2,6}:{(7,1),(9,1),(22,1),(38,1)}
      16:{3,6}:{(8,1),(9,1)}
      17:{1,5,6}:{(9,1),(13,1),(24,1),(35,1)}
      18:{2,3,6}:{(10,1),(11,1),(12,1),(25,1),(37,1),(38,1),(59,1)}
      19:{1,2,5}:{(11,1),(13,1),(25,1),(26,1),(35,1),(48,1),(52,1)}
      20:{3,5}:{(12,1),(13,1),(27,1),(35,1)}
      21:{4}:{(14,1)}
      22:{2,3,6}:{(14,1),(15,1),(16,1),(28,1)}
      23:{1,2,5,6}:{(15,1),(17,1),(19,1),(29,1),(30,1),(54,1),(55,1)}
      24:{3,5,6}:{(16,1),(17,1),(20,1),(31,1)}
      25:{2,3,5}:{(18,1),(19,1),(20,1),(32,1),(33,1),(34,1),(46,1)}
      26:{1,4,5}:{(19,1),(30,1),(32,1),(33,1),(42,1),(47,1),(54,1),(58,1)}
      27:{4,5}:{(20,1),(31,1),(32,1),(34,1)}
      28:{4,6}:{(21,1),(22,1),(35,1)}
      29:{2,3,5,6}:{(22,1),(23,1),(24,1),(25,1),(35,1),(36,1),(37,1),(38,1),(48,1),(49,1),(50,1)}
      30:{1,4,6}:{(23,1),(26,1),(36,1),(37,1)}
      31:{4,6}:{(24,1),(27,1),(38,1)}
      32:{4}:{(25,1)}
      33:{3,5}:{(26,1),(37,1),(40,1),(59,1)}
      34:{2,5}:{(27,1),(38,1),(39,1)}
      35:{5}:{(28,1)}
      36:{4,6}:{(29,1),(32,1),(42,1)}
      37:{3,6}:{(30,1),(33,1)}
      38:{2,6}:{(31,1),(34,1)}
      39:{2,4}:{(32,1),(34,1),(46,1)}
      40:{3,4}:{(32,1),(33,1),(46,1),(47,1)}
      41:{1,3,5}:{(33,1),(45,1),(47,1),(54,1)}
      42:{4,5}:{(35,1),(36,1),(48,1),(49,1),(57,1)}
      43:{2,4,6}:{(36,1),(38,1),(39,1),(48,1),(50,1),(57,1)}
      44:{3,4,6}:{(36,1),(37,1),(40,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      45:{1,3,6}:{(37,1),(41,1),(51,1),(59,1)}
      46:{2,3}:{(39,1),(40,1),(52,1)}
      47:{1,4}:{(40,1),(41,1),(52,1)}
      48:{2,5}:{(42,1),(43,1)}
      49:{3,5}:{(42,1),(44,1),(54,1)}
      50:{2,3,6}:{(43,1),(44,1),(46,1),(53,1),(55,1)}
      51:{1,4,6}:{(44,1),(45,1),(47,1),(54,1),(55,1),(58,1)}
      52:{1,2}:{(46,1),(47,1)}
      53:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{1,2,6}:{(50,1),(51,1),(52,1),(56,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(53,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

 90 :  0:{1,2,3,6}:{(1,1),(2,1),(7,1),(29,1),(30,1),(45,1),(55,1)}
       1:{1,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(14,1),(20,1),(21,1),(22,1),(36,1),(51,1),(56,1),(59,1)}
       3:{1,2,4,6}:{(1,1),(7,1),(8,1),(12,1),(24,1),(25,1),(29,1),(41,1),(46,1),(55,1),(58,1)}
       4:{3,4,6}:{(1,1),(7,1),(9,1),(13,1),(24,1),(27,1),(30,1),(46,1)}
       5:{1,5}:{(1,1),(9,1)}
       6:{1,4}:{(2,1),(13,1),(24,1)}
       7:{2,3,6}:{(3,1),(4,1),(14,1),(22,1),(35,1),(37,1),(59,1)}
       8:{1,2,5}:{(3,1),(5,1),(14,1),(16,1),(47,1),(51,1),(52,1)}
       9:{3,5}:{(4,1),(5,1),(18,1),(52,1)}
      10:{1,5,6}:{(5,1),(17,1),(19,1),(52,1)}
      11:{1,4,5}:{(5,1),(6,1),(18,1),(19,1),(20,1),(21,1),(39,1),(52,1)}
      12:{1,2,4}:{(6,1),(20,1),(22,1),(33,1),(39,1),(51,1)}
      13:{3,4}:{(6,1),(21,1),(22,1),(39,1),(59,1)}
      14:{2,3,5}:{(7,1),(8,1),(9,1),(24,1),(26,1),(28,1),(43,1)}
      15:{1,2,5,6}:{(8,1),(10,1),(23,1),(25,1),(29,1),(54,1),(55,1)}
      16:{1,4,5}:{(8,1),(24,1),(25,1),(26,1),(40,1),(44,1),(54,1),(58,1)}
      17:{3,5,6}:{(9,1),(10,1),(27,1),(30,1)}
      18:{4,5}:{(9,1),(24,1),(27,1),(28,1)}
      19:{1,4,6}:{(10,1),(11,1),(27,1),(29,1),(30,1),(46,1)}
      20:{1,2,5}:{(11,1),(12,1),(28,1),(29,1),(31,1)}
      21:{3,5}:{(11,1),(13,1),(30,1)}
      22:{2,3}:{(12,1),(13,1)}
      23:{2,3,5,6}:{(14,1),(15,1),(17,1),(32,1),(35,1),(37,1),(38,1),(47,1),(48,1),(49,1),(52,1)}
      24:{4}:{(14,1)}
      25:{1,4,6}:{(15,1),(16,1),(32,1),(35,1)}
      26:{3,5}:{(16,1),(34,1),(35,1),(59,1)}
      27:{4,6}:{(17,1),(18,1),(37,1)}
      28:{2,5}:{(18,1),(33,1),(37,1)}
      29:{1,2,6}:{(19,1),(20,1),(37,1),(38,1)}
      30:{3,6}:{(19,1),(21,1)}
      31:{2,3,5}:{(20,1),(21,1),(22,1),(38,1),(39,1),(52,1)}
      32:{4,6}:{(23,1),(24,1),(40,1)}
      33:{2,4}:{(24,1),(28,1),(43,1)}
      34:{3,4}:{(24,1),(26,1),(43,1),(44,1)}
      35:{3,6}:{(25,1),(26,1)}
      36:{1,3,5}:{(26,1),(44,1),(45,1),(54,1)}
      37:{2,6}:{(27,1),(28,1)}
      38:{2,3,6}:{(29,1),(30,1),(31,1),(46,1)}
      39:{4}:{(31,1)}
      40:{4,5}:{(32,1),(47,1),(48,1),(52,1),(57,1)}
      41:{2,4,6}:{(32,1),(33,1),(37,1),(47,1),(49,1),(57,1)}
      42:{3,4,6}:{(32,1),(34,1),(35,1),(48,1),(49,1),(50,1),(57,1),(59,1)}
      43:{2,3}:{(33,1),(34,1),(51,1)}
      44:{1,4}:{(34,1),(36,1),(51,1)}
      45:{1,3,6}:{(35,1),(36,1),(50,1),(59,1)}
      46:{4,6}:{(38,1),(39,1),(52,1)}
      47:{2,5}:{(40,1),(41,1)}
      48:{3,5}:{(40,1),(42,1),(54,1)}
      49:{2,3,6}:{(41,1),(42,1),(43,1),(53,1),(55,1)}
      50:{1,4,6}:{(42,1),(44,1),(45,1),(54,1),(55,1),(58,1)}
      51:{1,2}:{(43,1),(44,1)}
      52:{5}:{(46,1)}
      53:{2,3,5}:{(47,1),(48,1),(49,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(48,1),(50,1)}
      55:{1,2,6}:{(49,1),(50,1),(51,1),(56,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(53,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

 91 :  0:{1,2,5,6}:{(1,1),(2,1),(10,1),(24,1),(25,1),(46,1),(54,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(6,1),(14,1),(15,1),(16,1),(19,1),(39,1),(50,1),(57,1),(59,1)}
       2:{1,4,6}:{(0,1),(3,1),(4,1),(6,1)}
       3:{4,6}:{(1,1),(7,1),(29,1)}
       4:{1,4,5}:{(2,1),(7,1),(10,1),(11,1),(24,1),(27,1),(29,1),(40,1)}
       5:{1,2,4,6}:{(2,1),(8,1),(10,1),(12,1),(25,1),(29,1),(30,1),(40,1),(41,1),(54,1),(58,1)}
       6:{3,6}:{(2,1),(11,1)}
       7:{4,5}:{(3,1),(14,1),(15,1),(33,1),(59,1)}
       8:{2,4,6}:{(3,1),(14,1),(16,1),(33,1),(35,1),(50,1)}
       9:{3,4,6}:{(3,1),(6,1),(15,1),(16,1),(17,1),(18,1),(33,1),(47,1)}
      10:{1,2,5}:{(4,1),(5,1),(14,1),(19,1),(34,1),(38,1),(59,1)}
      11:{3,5}:{(4,1),(6,1),(18,1),(47,1)}
      12:{2,3,6}:{(5,1),(6,1),(19,1),(22,1),(47,1),(48,1),(50,1)}
      13:{1,3,6}:{(6,1),(17,1),(20,1),(47,1)}
      14:{2,5}:{(7,1),(8,1)}
      15:{3,5}:{(7,1),(9,1),(24,1)}
      16:{2,3,6}:{(8,1),(9,1),(23,1),(25,1),(26,1)}
      17:{1,4,6}:{(9,1),(13,1),(24,1),(25,1),(27,1),(40,1)}
      18:{3,4}:{(11,1),(26,1),(27,1),(29,1)}
      19:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(29,1),(31,1),(42,1)}
      20:{1,3,5}:{(11,1),(13,1),(24,1),(27,1)}
      21:{1,2,3,6}:{(12,1),(13,1),(25,1),(28,1),(30,1),(54,1),(55,1)}
      22:{3,4,6}:{(12,1),(29,1),(30,1),(31,1),(43,1),(45,1),(55,1),(58,1)}
      23:{2,3,5}:{(14,1),(15,1),(16,1),(32,1),(33,1),(47,1)}
      24:{1,5}:{(15,1),(17,1)}
      25:{1,2,6}:{(16,1),(17,1),(32,1),(34,1)}
      26:{2,3}:{(18,1),(34,1),(35,1)}
      27:{1,4}:{(18,1),(20,1),(34,1)}
      28:{1,2,3,5}:{(19,1),(20,1),(21,1),(32,1),(34,1),(36,1),(38,1),(47,1),(48,1),(49,1),(51,1)}
      29:{4}:{(19,1)}
      30:{1,4,6}:{(21,1),(22,1),(36,1),(38,1)}
      31:{3,5}:{(22,1),(37,1),(38,1),(59,1)}
      32:{1,2,5}:{(23,1),(24,1),(25,1),(40,1)}
      33:{4}:{(23,1)}
      34:{1,2}:{(26,1),(27,1)}
      35:{2,4}:{(26,1),(29,1),(42,1)}
      36:{1,4}:{(28,1),(29,1),(43,1)}
      37:{4,5}:{(29,1),(31,1),(42,1),(45,1)}
      38:{1,5}:{(30,1),(31,1)}
      39:{3,5,6}:{(31,1),(45,1),(46,1),(55,1)}
      40:{1,4}:{(32,1),(33,1),(47,1)}
      41:{1,2,4}:{(34,1),(35,1),(36,1),(48,1),(49,1),(56,1)}
      42:{2,5}:{(35,1),(37,1),(50,1)}
      43:{3,4}:{(36,1),(47,1),(48,1),(51,1),(56,1)}
      44:{1,4,5}:{(36,1),(37,1),(38,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      45:{4,6}:{(37,1),(39,1),(50,1)}
      46:{1,5,6}:{(38,1),(39,1),(52,1),(59,1)}
      47:{3}:{(40,1)}
      48:{2,3}:{(41,1),(43,1)}
      49:{1,2,5}:{(41,1),(42,1),(44,1),(53,1),(54,1)}
      50:{2,6}:{(42,1),(45,1)}
      51:{3,5}:{(43,1),(44,1),(55,1)}
      52:{1,4,6}:{(44,1),(45,1),(46,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

 92 :  0:{1,2,3}:{(1,1),(5,1),(62,1),(63,1)}
       1:{1,4}:{(0,1),(3,1),(4,1)}
       2:{1,2,4}:{(1,1),(5,1),(6,1),(16,1),(55,1),(56,1),(63,1)}
       3:{3,4}:{(1,1),(5,1),(7,1),(16,1)}
       4:{1,5}:{(1,1),(7,1),(8,1)}
       5:{2,3}:{(2,1),(3,1),(59,1)}
       6:{1,2,5}:{(2,1),(4,1),(9,1),(10,1),(11,1),(36,1),(52,1)}
       7:{3,5}:{(3,1),(4,1),(12,1),(13,1)}
       8:{1,6}:{(4,1),(13,1)}
       9:{1,4,5}:{(6,1),(14,1),(15,1),(16,1),(28,1),(34,1),(44,1),(46,1),(55,1)}
      10:{2,3,5}:{(5,1),(6,1),(7,1),(14,1),(16,1),(17,1),(18,1),(30,1),(34,1)}
      11:{1,2,6}:{(6,1),(8,1),(15,1),(17,1),(47,1)}
      12:{4,5}:{(7,1),(16,1),(18,1),(19,1),(34,1)}
      13:{3,6}:{(7,1),(8,1),(19,1)}
      14:{3,5}:{(9,1),(21,1),(22,1),(59,1)}
      15:{1,4,6}:{(9,1),(11,1),(22,1),(23,1),(25,1),(40,1)}
      16:{4}:{(10,1)}
      17:{2,3,6}:{(10,1),(11,1),(13,1),(22,1),(25,1),(26,1)}
      18:{2,5}:{(12,1),(24,1),(26,1)}
      19:{4,6}:{(12,1),(13,1),(26,1),(27,1)}
      20:{1,3,5}:{(14,1),(28,1),(29,1),(44,1)}
      21:{3,4}:{(14,1),(16,1),(28,1),(30,1)}
      22:{3,6}:{(14,1),(15,1)}
      23:{1,5,6}:{(15,1),(32,1),(34,1),(44,1)}
      24:{2,4}:{(16,1),(18,1),(30,1)}
      25:{4,6}:{(16,1),(17,1),(34,1)}
      26:{2,6}:{(18,1),(19,1)}
      27:{5,6}:{(19,1),(34,1)}
      28:{1,4}:{(20,1),(21,1),(36,1)}
      29:{1,3,6}:{(20,1),(22,1),(37,1),(59,1)}
      30:{2,3}:{(21,1),(24,1),(36,1)}
      31:{3,4,6}:{(21,1),(22,1),(25,1),(37,1),(38,1),(39,1),(40,1),(51,1),(59,1)}
      32:{3,5,6}:{(22,1),(23,1),(39,1),(40,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(38,1),(41,1),(42,1),(51,1)}
      34:{5}:{(25,1)}
      35:{2,5,6}:{(26,1),(27,1),(41,1),(42,1)}
      36:{1,2}:{(28,1),(30,1)}
      37:{1,4,6}:{(28,1),(29,1),(31,1),(43,1),(44,1),(55,1)}
      38:{2,3,6}:{(30,1),(31,1),(33,1),(43,1),(45,1),(47,1),(49,1)}
      39:{3,5}:{(31,1),(34,1),(44,1),(46,1)}
      40:{4,6}:{(32,1),(46,1),(47,1)}
      41:{2,5}:{(33,1),(34,1),(48,1)}
      42:{4,6}:{(35,1),(48,1),(49,1)}
      43:{1,2,6}:{(36,1),(37,1),(38,1),(50,1),(54,1)}
      44:{1,5}:{(37,1),(39,1)}
      45:{2,3,5}:{(38,1),(39,1),(41,1),(50,1),(51,1),(52,1),(53,1),(59,1),(60,1)}
      46:{4,5}:{(39,1),(40,1),(51,1),(52,1)}
      47:{2,6}:{(40,1),(52,1)}
      48:{4,5}:{(41,1),(42,1),(51,1),(53,1)}
      49:{3,6}:{(42,1),(53,1),(54,1)}
      50:{1,2,5}:{(43,1),(44,1),(45,1),(55,1),(58,1),(63,1)}
      51:{4}:{(45,1)}
      52:{2,5}:{(46,1),(47,1),(56,1)}
      53:{3,5}:{(48,1),(49,1),(57,1),(58,1)}
      54:{1,6}:{(49,1),(58,1)}
      55:{1,4}:{(50,1),(51,1),(59,1)}
      56:{2,4}:{(51,1),(52,1),(60,1)}
      57:{3,4}:{(51,1),(53,1),(59,1),(60,1),(61,1)}
      58:{1,5}:{(53,1),(54,1),(61,1)}
      59:{3}:{(55,1)}
      60:{2,3}:{(56,1),(57,1),(63,1)}
      61:{1,4}:{(57,1),(58,1),(62,1),(63,1)}
      62:{1,3}:{(59,1),(61,1)}
      63:{1,2}:{(60,1),(61,1)}

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

 94 :  0:{1,4,5}:{(2,1),(3,1),(4,1),(15,1),(17,1),(37,1),(38,1),(40,1),(49,1)}
       1:{1,2,4}:{(2,1),(5,1),(17,1),(21,1),(49,1),(52,1),(62,1)}
       2:{1,2,5}:{(0,1),(1,1),(7,1),(8,1),(23,1),(31,1),(47,1)}
       3:{3,5}:{(0,1),(6,1),(10,1),(54,1)}
       4:{1,4,6}:{(0,1),(8,1),(10,1),(11,1),(29,1),(30,1)}
       5:{2,3}:{(1,1),(13,1),(54,1)}
       6:{3,4}:{(3,1),(14,1),(15,1),(17,1)}
       7:{2,3,5}:{(2,1),(3,1),(5,1),(14,1),(17,1),(18,1),(22,1),(34,1),(40,1)}
       8:{1,2,6}:{(2,1),(4,1),(18,1),(41,1),(42,1)}
       9:{1,3,5}:{(3,1),(15,1),(19,1),(37,1)}
      10:{3,6}:{(3,1),(4,1)}
      11:{1,5,6}:{(4,1),(20,1),(37,1),(40,1)}
      12:{1,2,3}:{(5,1),(21,1),(59,1),(62,1)}
      13:{3,4}:{(5,1),(17,1),(21,1),(22,1)}
      14:{2,3}:{(6,1),(23,1),(24,1)}
      15:{1,4}:{(6,1),(9,1),(23,1)}
      16:{3,4,6}:{(6,1),(10,1),(25,1),(26,1),(27,1),(29,1),(30,1),(46,1),(54,1)}
      17:{4}:{(7,1)}
      18:{2,3,6}:{(7,1),(8,1),(10,1),(29,1),(32,1),(44,1)}
      19:{1,3,6}:{(9,1),(10,1),(26,1),(54,1)}
      20:{3,5,6}:{(10,1),(11,1),(27,1),(30,1)}
      21:{1,4}:{(12,1),(13,1),(31,1)}
      22:{3,5}:{(13,1),(28,1),(31,1),(32,1)}
      23:{1,2}:{(14,1),(15,1)}
      24:{2,4}:{(14,1),(17,1),(34,1)}
      25:{2,3,6}:{(14,1),(16,1),(33,1),(35,1),(36,1),(41,1),(60,1)}
      26:{1,4,6}:{(15,1),(16,1),(19,1),(33,1),(37,1),(49,1)}
      27:{3,5}:{(16,1),(37,1),(38,1),(40,1)}
      28:{4,5}:{(17,1),(22,1),(34,1),(39,1),(40,1)}
      29:{4,6}:{(17,1),(18,1),(40,1)}
      30:{4,6}:{(20,1),(38,1),(41,1)}
      31:{1,5}:{(21,1),(22,1),(42,1)}
      32:{3,6}:{(22,1),(39,1),(42,1)}
      33:{1,2,6}:{(23,1),(25,1),(26,1),(43,1),(63,1)}
      34:{2,5}:{(24,1),(28,1),(44,1)}
      35:{2,4,6}:{(24,1),(25,1),(29,1),(44,1),(45,1),(46,1),(55,1)}
      36:{2,3,5}:{(25,1),(27,1),(43,1),(45,1),(46,1),(47,1),(54,1),(56,1),(57,1)}
      37:{1,5}:{(26,1),(27,1)}
      38:{4,5}:{(27,1),(30,1),(46,1),(47,1)}
      39:{4,6}:{(28,1),(32,1),(44,1),(48,1)}
      40:{5}:{(29,1)}
      41:{2,6}:{(30,1),(47,1)}
      42:{1,6}:{(31,1),(32,1)}
      43:{1,2,5}:{(33,1),(36,1),(37,1),(49,1),(61,1),(62,1)}
      44:{2,6}:{(34,1),(39,1)}
      45:{2,5}:{(35,1),(40,1),(51,1)}
      46:{4}:{(36,1)}
      47:{2,5}:{(38,1),(41,1),(52,1)}
      48:{5,6}:{(39,1),(40,1)}
      49:{1,4}:{(43,1),(46,1),(54,1)}
      50:{2,5,6}:{(44,1),(45,1),(48,1),(55,1)}
      51:{4,5}:{(45,1),(46,1),(55,1),(56,1)}
      52:{2,4}:{(46,1),(47,1),(57,1)}
      53:{3,4}:{(46,1),(54,1),(56,1),(57,1),(58,1)}
      54:{3}:{(49,1)}
      55:{4,6}:{(50,1),(51,1),(60,1)}
      56:{3,5}:{(51,1),(53,1),(60,1),(61,1)}
      57:{2,3}:{(52,1),(53,1),(62,1)}
      58:{1,4}:{(53,1),(59,1),(61,1),(62,1)}
      59:{1,3}:{(54,1),(58,1)}
      60:{3,6}:{(55,1),(56,1),(63,1)}
      61:{1,5}:{(56,1),(58,1),(63,1)}
      62:{1,2}:{(57,1),(58,1)}
      63:{1,6}:{(60,1),(61,1)}

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

 96 :  0:{2,4,6}:{(2,1),(3,1),(15,1),(19,1),(49,1),(50,1),(59,1)}
       1:{3,4,6}:{(2,1),(4,1),(5,1),(17,1),(19,1),(34,1),(37,1),(39,1),(50,1)}
       2:{2,3,6}:{(0,1),(1,1),(9,1),(10,1),(24,1),(26,1),(43,1)}
       3:{2,5}:{(0,1),(11,1),(55,1)}
       4:{1,4,6}:{(1,1),(6,1),(9,1),(12,1),(23,1),(27,1)}
       5:{3,5}:{(1,1),(12,1),(13,1),(55,1)}
       6:{1,3,6}:{(4,1),(14,1),(37,1),(39,1)}
       7:{2,5,6}:{(3,1),(15,1),(59,1),(60,1)}
       8:{3,5,6}:{(5,1),(16,1),(17,1),(37,1)}
       9:{1,2,6}:{(2,1),(4,1),(18,1),(33,1),(35,1)}
      10:{2,3,5}:{(2,1),(3,1),(5,1),(18,1),(19,1),(20,1),(22,1),(39,1),(40,1)}
      11:{4,5}:{(3,1),(15,1),(19,1),(20,1)}
      12:{1,5}:{(4,1),(5,1)}
      13:{4,5}:{(5,1),(17,1),(19,1),(22,1)}
      14:{1,3,5}:{(6,1),(12,1),(23,1),(32,1)}
      15:{4,6}:{(7,1),(11,1),(24,1)}
      16:{1,5,6}:{(8,1),(12,1),(25,1),(55,1)}
      17:{4,6}:{(8,1),(13,1),(26,1)}
      18:{1,2,5}:{(9,1),(10,1),(12,1),(27,1),(30,1),(47,1)}
      19:{4}:{(10,1)}
      20:{3,5}:{(11,1),(24,1),(29,1),(30,1)}
      21:{1,4,5}:{(12,1),(13,1),(23,1),(25,1),(27,1),(31,1),(32,1),(48,1),(55,1)}
      22:{2,5}:{(13,1),(26,1),(28,1)}
      23:{1,4}:{(14,1),(33,1),(34,1)}
      24:{3,6}:{(15,1),(20,1),(35,1)}
      25:{1,4,6}:{(16,1),(17,1),(21,1),(36,1),(37,1),(50,1)}
      26:{2,6}:{(17,1),(22,1)}
      27:{1,4}:{(18,1),(19,1),(39,1)}
      28:{2,4}:{(19,1),(22,1),(40,1)}
      29:{3,4}:{(19,1),(20,1),(39,1),(40,1),(41,1)}
      30:{1,5}:{(20,1),(35,1),(41,1)}
      31:{1,2,5}:{(21,1),(22,1),(33,1),(36,1),(38,1),(42,1),(61,1)}
      32:{3,5}:{(21,1),(34,1),(37,1),(39,1)}
      33:{1,2}:{(23,1),(43,1)}
      34:{3,4}:{(23,1),(32,1),(43,1),(48,1)}
      35:{1,6}:{(24,1),(30,1)}
      36:{1,2,6}:{(25,1),(26,1),(31,1),(44,1),(63,1)}
      37:{3,6}:{(25,1),(32,1)}
      38:{1,2,4}:{(27,1),(28,1),(31,1),(45,1),(47,1),(48,1),(56,1)}
      39:{3}:{(27,1)}
      40:{2,3}:{(28,1),(29,1),(47,1)}
      41:{1,4}:{(29,1),(30,1),(46,1),(47,1)}
      42:{2,3,5}:{(31,1),(32,1),(43,1),(44,1),(45,1),(48,1),(54,1),(55,1),(57,1)}
      43:{2,3}:{(33,1),(34,1),(49,1)}
      44:{2,3,6}:{(36,1),(37,1),(42,1),(50,1),(59,1),(62,1)}
      45:{2,3}:{(38,1),(39,1),(52,1)}
      46:{1,3}:{(39,1),(41,1)}
      47:{1,2}:{(40,1),(41,1)}
      48:{4}:{(42,1)}
      49:{2,4}:{(43,1),(48,1),(54,1)}
      50:{4,6}:{(44,1),(48,1),(55,1)}
      51:{1,2,3}:{(45,1),(46,1),(47,1),(56,1)}
      52:{3,4}:{(45,1),(48,1),(56,1),(57,1)}
      53:{4,5}:{(48,1),(54,1),(55,1),(57,1),(58,1)}
      54:{2,5}:{(49,1),(53,1),(59,1)}
      55:{5}:{(50,1)}
      56:{1,4}:{(51,1),(52,1),(61,1)}
      57:{3,5}:{(52,1),(53,1),(61,1),(62,1)}
      58:{4,6}:{(53,1),(59,1),(60,1),(62,1)}
      59:{2,6}:{(54,1),(58,1)}
      60:{5,6}:{(55,1),(58,1)}
      61:{1,5}:{(56,1),(57,1),(63,1)}
      62:{3,6}:{(57,1),(58,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

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

 98 :  0:{3,5,6}:{(1,1),(2,1),(9,1),(11,1)}
       1:{1,5,6}:{(0,1),(3,1),(20,1),(36,1)}
       2:{4,6}:{(0,1),(4,1),(5,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(8,1),(9,1),(27,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(30,1)}
       5:{2,6}:{(2,1),(10,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(24,1),(27,1),(30,1),(50,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(20,1),(34,1),(35,1),(36,1),(39,1)}
       8:{1,2,6}:{(3,1),(5,1),(14,1),(16,1),(63,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1),(18,1)}
      11:{3,5}:{(4,1),(6,1),(20,1),(36,1)}
      12:{2,3,6}:{(5,1),(6,1),(19,1),(21,1),(22,1),(33,1),(58,1)}
      13:{1,4,6}:{(6,1),(17,1),(20,1),(21,1),(34,1),(39,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(23,1),(25,1),(44,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(24,1),(50,1)}
      16:{2,3,6}:{(8,1),(9,1),(25,1),(27,1),(60,1),(61,1)}
      17:{1,3,6}:{(9,1),(13,1),(26,1),(50,1)}
      18:{2,4}:{(10,1),(28,1),(30,1)}
      19:{2,3,5}:{(10,1),(11,1),(12,1),(28,1),(29,1),(30,1),(31,1),(49,1),(50,1)}
      20:{1,5}:{(11,1),(13,1)}
      21:{1,2,6}:{(12,1),(13,1),(29,1),(44,1),(62,1)}
      22:{2,4,6}:{(12,1),(27,1),(30,1),(31,1),(45,1),(51,1),(61,1)}
      23:{1,2,4}:{(14,1),(18,1),(32,1),(35,1),(37,1),(39,1),(52,1)}
      24:{3,4}:{(15,1),(33,1),(34,1),(35,1)}
      25:{2,3,5}:{(14,1),(15,1),(16,1),(32,1),(33,1),(35,1),(36,1),(53,1),(54,1)}
      26:{1,3,5}:{(15,1),(17,1),(20,1),(34,1)}
      27:{4,6}:{(16,1),(35,1),(36,1)}
      28:{2,3}:{(18,1),(37,1),(38,1)}
      29:{1,2,5}:{(19,1),(20,1),(21,1),(37,1),(39,1),(57,1)}
      30:{4}:{(19,1)}
      31:{2,5}:{(22,1),(36,1),(40,1)}
      32:{2,3}:{(23,1),(43,1),(50,1)}
      33:{2,3}:{(24,1),(44,1),(45,1)}
      34:{1,4}:{(24,1),(26,1),(44,1)}
      35:{4}:{(25,1)}
      36:{5}:{(27,1)}
      37:{1,2}:{(28,1),(48,1)}
      38:{3,4}:{(28,1),(30,1),(48,1),(49,1),(50,1)}
      39:{1,4}:{(29,1),(30,1),(50,1)}
      40:{4,5}:{(30,1),(31,1),(49,1),(51,1)}
      41:{2,5,6}:{(31,1),(47,1),(51,1),(61,1)}
      42:{1,2,3}:{(32,1),(37,1),(52,1),(56,1)}
      43:{3,4}:{(32,1),(35,1),(52,1),(53,1)}
      44:{1,2}:{(33,1),(34,1)}
      45:{2,4}:{(33,1),(35,1),(54,1)}
      46:{4,5}:{(35,1),(36,1),(53,1),(54,1),(55,1)}
      47:{5,6}:{(36,1),(55,1)}
      48:{1,4}:{(37,1),(38,1),(56,1),(57,1)}
      49:{3,5}:{(38,1),(40,1),(57,1),(58,1)}
      50:{3}:{(39,1)}
      51:{4,6}:{(40,1),(41,1),(58,1)}
      52:{1,4}:{(42,1),(43,1),(59,1)}
      53:{3,5}:{(43,1),(46,1),(59,1),(60,1)}
      54:{2,5}:{(45,1),(46,1),(61,1)}
      55:{4,6}:{(46,1),(47,1),(60,1),(61,1)}
      56:{1,3}:{(48,1),(50,1)}
      57:{1,5}:{(48,1),(49,1),(62,1)}
      58:{3,6}:{(49,1),(51,1),(62,1)}
      59:{1,5}:{(52,1),(53,1),(63,1)}
      60:{3,6}:{(53,1),(55,1),(63,1)}
      61:{2,6}:{(54,1),(55,1)}
      62:{1,6}:{(57,1),(58,1)}
      63:{1,6}:{(59,1),(60,1)}

 99 :  0:{1,2,3}:{(2,1),(3,1),(62,1),(63,1)}
       1:{1,2,4}:{(2,1),(3,1),(4,1),(12,1),(54,1),(55,1),(63,1)}
       2:{1,4}:{(0,1),(5,1),(6,1)}
       3:{2,3}:{(1,1),(5,1),(59,1)}
       4:{1,2,5}:{(1,1),(6,1),(7,1),(8,1),(9,1),(35,1),(52,1)}
       5:{3,4}:{(2,1),(3,1),(10,1),(12,1)}
       6:{1,5}:{(2,1),(10,1),(11,1)}
       7:{2,3,5}:{(3,1),(4,1),(10,1),(12,1),(13,1),(14,1),(24,1),(26,1),(30,1)}
       8:{1,4,5}:{(4,1),(12,1),(14,1),(15,1),(28,1),(30,1),(45,1),(46,1),(54,1)}
       9:{1,2,6}:{(4,1),(11,1),(13,1),(15,1),(47,1)}
      10:{3,5}:{(5,1),(6,1),(16,1),(17,1)}
      11:{1,6}:{(6,1),(17,1)}
      12:{4}:{(7,1)}
      13:{2,3,6}:{(7,1),(9,1),(17,1),(20,1),(22,1),(33,1)}
      14:{3,5}:{(8,1),(19,1),(22,1),(59,1)}
      15:{1,4,6}:{(8,1),(9,1),(20,1),(22,1),(23,1),(40,1)}
      16:{4,5}:{(10,1),(12,1),(24,1),(25,1),(30,1)}
      17:{3,6}:{(10,1),(11,1),(25,1)}
      18:{2,4}:{(12,1),(24,1),(26,1)}
      19:{3,4}:{(12,1),(14,1),(26,1),(28,1)}
      20:{4,6}:{(12,1),(13,1),(30,1)}
      21:{1,3,5}:{(14,1),(28,1),(31,1),(45,1)}
      22:{3,6}:{(14,1),(15,1)}
      23:{1,5,6}:{(15,1),(30,1),(32,1),(45,1)}
      24:{2,5}:{(16,1),(18,1),(33,1)}
      25:{4,6}:{(16,1),(17,1),(33,1),(34,1)}
      26:{2,3}:{(18,1),(19,1),(35,1)}
      27:{2,4,6}:{(18,1),(20,1),(33,1),(36,1),(37,1),(48,1),(50,1)}
      28:{1,4}:{(19,1),(21,1),(35,1)}
      29:{3,4,6}:{(19,1),(20,1),(22,1),(36,1),(38,1),(39,1),(40,1),(50,1),(59,1)}
      30:{5}:{(20,1)}
      31:{1,3,6}:{(21,1),(22,1),(38,1),(59,1)}
      32:{3,5,6}:{(22,1),(23,1),(39,1),(40,1)}
      33:{2,6}:{(24,1),(25,1)}
      34:{5,6}:{(25,1),(30,1)}
      35:{1,2}:{(26,1),(28,1)}
      36:{2,3,6}:{(26,1),(27,1),(29,1),(42,1),(43,1),(47,1),(53,1)}
      37:{2,5}:{(27,1),(30,1),(44,1)}
      38:{1,4,6}:{(28,1),(29,1),(31,1),(42,1),(45,1),(54,1)}
      39:{3,5}:{(29,1),(30,1),(45,1),(46,1)}
      40:{4,6}:{(32,1),(46,1),(47,1)}
      41:{2,5,6}:{(33,1),(34,1),(37,1),(48,1)}
      42:{1,2,6}:{(35,1),(36,1),(38,1),(49,1),(58,1)}
      43:{2,3,5}:{(36,1),(37,1),(39,1),(49,1),(50,1),(51,1),(52,1),(59,1),(60,1)}
      44:{4,5}:{(37,1),(48,1),(50,1),(51,1)}
      45:{1,5}:{(38,1),(39,1)}
      46:{4,5}:{(39,1),(40,1),(50,1),(52,1)}
      47:{2,6}:{(40,1),(52,1)}
      48:{4,6}:{(41,1),(44,1),(53,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(54,1),(57,1),(63,1)}
      50:{4}:{(43,1)}
      51:{3,5}:{(44,1),(53,1),(56,1),(57,1)}
      52:{2,5}:{(46,1),(47,1),(55,1)}
      53:{3,6}:{(48,1),(51,1),(58,1)}
      54:{1,4}:{(49,1),(50,1),(59,1)}
      55:{2,4}:{(50,1),(52,1),(60,1)}
      56:{3,4}:{(50,1),(51,1),(59,1),(60,1),(61,1)}
      57:{1,5}:{(51,1),(58,1),(61,1)}
      58:{1,6}:{(53,1),(57,1)}
      59:{3}:{(54,1)}
      60:{2,3}:{(55,1),(56,1),(63,1)}
      61:{1,4}:{(56,1),(57,1),(62,1),(63,1)}
      62:{1,3}:{(59,1),(61,1)}
      63:{1,2}:{(60,1),(61,1)}

100 :  0:{1,3,5}:{(2,1),(3,1),(5,1),(18,1)}
       1:{1,4,5}:{(2,1),(4,1),(5,1),(6,1),(18,1),(20,1),(35,1),(36,1),(40,1)}
       2:{1,4}:{(0,1),(7,1),(8,1)}
       3:{1,3,6}:{(0,1),(9,1),(13,1),(45,1)}
       4:{1,2,5}:{(1,1),(7,1),(10,1),(11,1),(12,1),(46,1),(47,1)}
       5:{3,5}:{(1,1),(8,1),(13,1),(45,1)}
       6:{1,4,6}:{(1,1),(12,1),(13,1),(14,1),(30,1),(31,1)}
       7:{1,2}:{(2,1),(15,1)}
       8:{3,4}:{(2,1),(5,1),(15,1),(20,1)}
       9:{1,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(35,1)}
      10:{1,2,4}:{(4,1),(19,1),(20,1),(35,1),(37,1),(52,1),(62,1)}
      11:{2,3,5}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(32,1),(38,1),(40,1)}
      12:{1,2,6}:{(4,1),(6,1),(21,1),(41,1),(55,1)}
      13:{3,6}:{(5,1),(6,1)}
      14:{1,5,6}:{(6,1),(18,1),(22,1),(40,1)}
      15:{2,3}:{(7,1),(8,1),(23,1)}
      16:{1,2,6}:{(7,1),(9,1),(24,1),(25,1),(63,1)}
      17:{3,4,6}:{(8,1),(9,1),(13,1),(24,1),(26,1),(30,1),(31,1),(44,1),(45,1)}
      18:{1,5}:{(9,1),(26,1)}
      19:{2,3}:{(10,1),(28,1),(45,1)}
      20:{4}:{(11,1)}
      21:{2,3,6}:{(11,1),(12,1),(13,1),(30,1),(42,1),(48,1)}
      22:{3,5,6}:{(13,1),(14,1),(26,1),(31,1)}
      23:{2,4}:{(15,1),(20,1),(32,1)}
      24:{2,3,6}:{(15,1),(16,1),(17,1),(33,1),(34,1),(41,1),(60,1)}
      25:{1,2,5}:{(16,1),(18,1),(34,1),(35,1),(61,1),(62,1)}
      26:{3,5}:{(17,1),(18,1),(36,1),(40,1)}
      27:{1,2,3}:{(19,1),(37,1),(54,1),(62,1)}
      28:{3,4}:{(19,1),(20,1),(37,1),(38,1)}
      29:{4,5}:{(20,1),(32,1),(38,1),(39,1),(40,1)}
      30:{4,6}:{(20,1),(21,1),(40,1)}
      31:{4,6}:{(22,1),(36,1),(41,1)}
      32:{2,5}:{(23,1),(29,1),(42,1)}
      33:{2,4,6}:{(23,1),(24,1),(30,1),(42,1),(43,1),(44,1),(56,1)}
      34:{2,3,5}:{(24,1),(25,1),(26,1),(43,1),(44,1),(45,1),(46,1),(57,1),(58,1)}
      35:{1,4}:{(25,1),(44,1),(45,1)}
      36:{4,5}:{(26,1),(31,1),(44,1),(46,1)}
      37:{1,4}:{(27,1),(28,1),(47,1)}
      38:{3,5}:{(28,1),(29,1),(47,1),(48,1)}
      39:{4,6}:{(29,1),(42,1),(48,1),(49,1)}
      40:{5}:{(30,1)}
      41:{2,6}:{(31,1),(46,1)}
      42:{2,6}:{(32,1),(39,1)}
      43:{2,5}:{(33,1),(40,1),(51,1)}
      44:{4}:{(34,1)}
      45:{3}:{(35,1)}
      46:{2,5}:{(36,1),(41,1),(52,1)}
      47:{1,5}:{(37,1),(38,1),(55,1)}
      48:{3,6}:{(38,1),(39,1),(55,1)}
      49:{5,6}:{(39,1),(40,1)}
      50:{2,5,6}:{(42,1),(43,1),(49,1),(56,1)}
      51:{4,5}:{(43,1),(44,1),(56,1),(57,1)}
      52:{2,4}:{(44,1),(46,1),(58,1)}
      53:{3,4}:{(44,1),(45,1),(57,1),(58,1),(59,1)}
      54:{1,3}:{(45,1),(59,1)}
      55:{1,6}:{(47,1),(48,1)}
      56:{4,6}:{(50,1),(51,1),(60,1)}
      57:{3,5}:{(51,1),(53,1),(60,1),(61,1)}
      58:{2,3}:{(52,1),(53,1),(62,1)}
      59:{1,4}:{(53,1),(54,1),(61,1),(62,1)}
      60:{3,6}:{(56,1),(57,1),(63,1)}
      61:{1,5}:{(57,1),(59,1),(63,1)}
      62:{1,2}:{(58,1),(59,1)}
      63:{1,6}:{(60,1),(61,1)}

101 :  0:{1,5,6}:{(2,1),(3,1),(36,1),(40,1)}
       1:{1,4,5}:{(3,1),(4,1),(5,1),(14,1),(18,1),(21,1),(36,1),(40,1),(53,1)}
       2:{3,5,6}:{(0,1),(7,1),(10,1),(25,1)}
       3:{1,4,6}:{(0,1),(1,1),(7,1),(9,1),(10,1),(30,1)}
       4:{1,2,5}:{(1,1),(6,1),(9,1),(11,1),(24,1),(28,1),(42,1)}
       5:{3,5}:{(1,1),(8,1),(10,1),(58,1)}
       6:{1,2,4}:{(4,1),(13,1),(21,1),(32,1),(34,1),(51,1),(53,1)}
       7:{4,6}:{(2,1),(14,1),(15,1)}
       8:{3,4}:{(5,1),(17,1),(18,1),(21,1)}
       9:{1,2,6}:{(3,1),(4,1),(15,1),(19,1),(50,1)}
      10:{3,6}:{(3,1),(5,1)}
      11:{2,3,5}:{(4,1),(5,1),(13,1),(17,1),(19,1),(21,1),(33,1),(39,1),(40,1)}
      12:{1,3,5}:{(5,1),(18,1),(20,1),(36,1)}
      13:{2,3}:{(6,1),(23,1),(58,1)}
      14:{4,5}:{(7,1),(24,1),(25,1),(46,1)}
      15:{2,6}:{(7,1),(24,1)}
      16:{3,4,6}:{(7,1),(8,1),(10,1),(25,1),(26,1),(27,1),(30,1),(46,1),(58,1)}
      17:{2,3}:{(8,1),(28,1),(29,1)}
      18:{1,4}:{(8,1),(12,1),(28,1)}
      19:{2,3,6}:{(9,1),(10,1),(11,1),(30,1),(43,1),(48,1)}
      20:{1,3,6}:{(10,1),(12,1),(27,1),(58,1)}
      21:{4}:{(11,1)}
      22:{1,2,3}:{(13,1),(32,1),(51,1),(60,1)}
      23:{3,4}:{(13,1),(21,1),(32,1),(33,1)}
      24:{2,5}:{(14,1),(15,1),(34,1)}
      25:{3,5}:{(14,1),(16,1),(36,1),(40,1)}
      26:{2,3,6}:{(15,1),(16,1),(17,1),(35,1),(37,1),(38,1),(62,1)}
      27:{1,4,6}:{(16,1),(18,1),(20,1),(36,1),(37,1),(53,1)}
      28:{1,2}:{(17,1),(18,1)}
      29:{2,4}:{(17,1),(21,1),(39,1)}
      30:{4,6}:{(19,1),(21,1),(40,1)}
      31:{4,5}:{(21,1),(33,1),(39,1),(40,1),(41,1)}
      32:{1,4}:{(22,1),(23,1),(42,1)}
      33:{3,5}:{(23,1),(31,1),(42,1),(43,1)}
      34:{2,4}:{(24,1),(44,1),(46,1)}
      35:{2,3,5}:{(24,1),(25,1),(26,1),(44,1),(45,1),(46,1),(47,1),(57,1),(58,1)}
      36:{1,5}:{(25,1),(27,1)}
      37:{1,2,6}:{(26,1),(27,1),(28,1),(45,1),(63,1)}
      38:{2,4,6}:{(26,1),(29,1),(30,1),(46,1),(47,1),(48,1),(59,1)}
      39:{2,5}:{(29,1),(31,1),(48,1)}
      40:{5}:{(30,1)}
      41:{4,6}:{(31,1),(43,1),(48,1),(49,1)}
      42:{1,5}:{(32,1),(33,1),(50,1)}
      43:{3,6}:{(33,1),(41,1),(50,1)}
      44:{2,3}:{(34,1),(51,1),(52,1)}
      45:{1,2,5}:{(35,1),(36,1),(37,1),(51,1),(53,1),(61,1)}
      46:{4}:{(35,1)}
      47:{2,5}:{(38,1),(40,1),(54,1)}
      48:{2,6}:{(39,1),(41,1)}
      49:{5,6}:{(40,1),(41,1)}
      50:{1,6}:{(42,1),(43,1)}
      51:{1,2}:{(44,1),(56,1)}
      52:{3,4}:{(44,1),(46,1),(56,1),(57,1),(58,1)}
      53:{1,4}:{(45,1),(46,1),(58,1)}
      54:{4,5}:{(46,1),(47,1),(57,1),(59,1)}
      55:{2,5,6}:{(47,1),(48,1),(49,1),(59,1)}
      56:{1,4}:{(51,1),(52,1),(60,1),(61,1)}
      57:{3,5}:{(52,1),(54,1),(61,1),(62,1)}
      58:{3}:{(53,1)}
      59:{4,6}:{(54,1),(55,1),(62,1)}
      60:{1,3}:{(56,1),(58,1)}
      61:{1,5}:{(56,1),(57,1),(63,1)}
      62:{3,6}:{(57,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

102 :  0:{2,5,6}:{(1,1),(5,1),(62,1),(63,1)}
       1:{4,6}:{(0,1),(2,1),(4,1)}
       2:{4,5}:{(1,1),(5,1),(6,1),(17,1)}
       3:{2,4,6}:{(1,1),(5,1),(7,1),(17,1),(57,1),(58,1),(62,1)}
       4:{3,6}:{(1,1),(6,1),(8,1)}
       5:{2,5}:{(2,1),(3,1),(61,1)}
       6:{3,5}:{(2,1),(4,1),(9,1),(11,1)}
       7:{2,3,6}:{(3,1),(4,1),(10,1),(12,1),(13,1),(39,1),(54,1)}
       8:{1,6}:{(4,1),(11,1)}
       9:{3,4}:{(6,1),(14,1),(15,1),(17,1),(31,1)}
      10:{2,3,5}:{(5,1),(6,1),(7,1),(14,1),(16,1),(17,1),(19,1),(30,1),(31,1)}
      11:{1,5}:{(6,1),(8,1),(15,1)}
      12:{1,2,6}:{(7,1),(8,1),(16,1),(18,1),(49,1)}
      13:{3,4,6}:{(7,1),(17,1),(18,1),(19,1),(31,1),(33,1),(47,1),(48,1),(58,1)}
      14:{2,3}:{(9,1),(21,1),(22,1)}
      15:{1,4}:{(9,1),(11,1),(20,1),(21,1)}
      16:{1,2,5}:{(10,1),(11,1),(12,1),(21,1),(23,1),(26,1)}
      17:{4}:{(10,1)}
      18:{1,4,6}:{(12,1),(13,1),(23,1),(25,1),(26,1),(42,1)}
      19:{3,5}:{(13,1),(24,1),(26,1),(61,1)}
      20:{1,3}:{(15,1),(31,1)}
      21:{1,2}:{(14,1),(15,1)}
      22:{2,4}:{(14,1),(17,1),(30,1)}
      23:{1,4}:{(16,1),(17,1),(31,1)}
      24:{4,5}:{(17,1),(19,1),(30,1),(33,1)}
      25:{1,3,6}:{(18,1),(31,1),(34,1),(48,1)}
      26:{1,5}:{(18,1),(19,1)}
      27:{3,5,6}:{(19,1),(33,1),(35,1),(48,1)}
      28:{1,2,3}:{(20,1),(21,1),(36,1),(37,1)}
      29:{1,2,4}:{(21,1),(22,1),(23,1),(36,1),(37,1),(38,1),(52,1)}
      30:{2,5}:{(22,1),(24,1),(39,1)}
      31:{3}:{(23,1)}
      32:{1,4,5}:{(23,1),(24,1),(26,1),(38,1),(40,1),(41,1),(42,1),(52,1),(61,1)}
      33:{4,6}:{(24,1),(27,1),(39,1)}
      34:{1,3,5}:{(25,1),(26,1),(40,1),(42,1)}
      35:{1,5,6}:{(26,1),(27,1),(41,1),(61,1)}
      36:{1,4}:{(28,1),(43,1),(44,1)}
      37:{2,3}:{(29,1),(31,1),(43,1)}
      38:{1,2,5}:{(29,1),(30,1),(32,1),(44,1),(45,1),(46,1),(49,1)}
      39:{2,6}:{(30,1),(33,1)}
      40:{3,5}:{(31,1),(32,1),(47,1),(48,1)}
      41:{1,4,6}:{(32,1),(33,1),(35,1),(46,1),(48,1),(58,1)}
      42:{1,4}:{(34,1),(47,1),(49,1)}
      43:{3,4}:{(36,1),(37,1),(50,1),(52,1)}
      44:{1,5}:{(36,1),(50,1),(51,1)}
      45:{2,3,5}:{(37,1),(38,1),(40,1),(50,1),(52,1),(53,1),(54,1),(59,1),(61,1)}
      46:{1,2,6}:{(38,1),(39,1),(41,1),(51,1),(53,1)}
      47:{3,4}:{(40,1),(42,1),(52,1),(54,1)}
      48:{3,6}:{(40,1),(41,1)}
      49:{1,2}:{(42,1),(54,1)}
      50:{3,5}:{(43,1),(44,1),(55,1),(56,1)}
      51:{1,6}:{(44,1),(56,1)}
      52:{4}:{(45,1)}
      53:{2,3,6}:{(45,1),(46,1),(48,1),(56,1),(58,1),(62,1)}
      54:{2,3}:{(47,1),(49,1),(57,1)}
      55:{4,5}:{(50,1),(52,1),(59,1),(60,1),(61,1)}
      56:{3,6}:{(50,1),(51,1),(60,1)}
      57:{2,4}:{(52,1),(54,1),(59,1)}
      58:{4,6}:{(52,1),(53,1),(61,1)}
      59:{2,5}:{(55,1),(57,1),(62,1)}
      60:{4,6}:{(55,1),(56,1),(62,1),(63,1)}
      61:{5}:{(58,1)}
      62:{2,6}:{(59,1),(60,1)}
      63:{5,6}:{(60,1),(61,1)}

103 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(29,1),(35,1),(54,1),(56,1),(57,1)}
       1:{2,3,5}:{(0,1),(5,1),(6,1),(7,1),(22,1),(25,1)}
       2:{1,4,5}:{(0,1),(4,1),(5,1),(8,1),(20,1),(43,1)}
       3:{3,4,6}:{(0,1),(7,1),(8,1),(9,1),(26,1),(46,1)}
       4:{1,3,5}:{(2,1),(10,1),(12,1),(57,1)}
       5:{1,2,5}:{(1,1),(2,1),(13,1),(14,1)}
       6:{2,4}:{(1,1),(56,1)}
       7:{2,3,6}:{(1,1),(3,1),(14,1),(15,1)}
       8:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(17,1)}
       9:{3,5,6}:{(3,1),(17,1),(18,1),(54,1)}
      10:{1,3,4}:{(4,1),(19,1),(20,1),(67,1)}
      11:{1,2,3,5}:{(4,1),(5,1),(19,1),(20,1),(21,1),(22,1),(39,1),(40,1),(43,1),(44,1)}
      12:{1,3,6}:{(4,1),(8,1),(46,1)}
      13:{1,2,4}:{(5,1),(6,1),(20,1),(22,1)}
      14:{1,2,6}:{(5,1),(7,1),(8,1)}
      15:{2,4,6}:{(6,1),(7,1),(25,1),(26,1)}
      16:{2,3,5,6}:{(7,1),(9,1),(24,1),(25,1),(26,1),(27,1),(44,1),(46,1),(48,1),(49,1)}
      17:{1,5,6}:{(8,1),(9,1),(43,1)}
      18:{4,5,6}:{(9,1),(26,1),(27,1),(65,1)}
      19:{1,2,3}:{(10,1),(28,1),(74,1)}
      20:{1,4}:{(11,1),(29,1),(56,1)}
      21:{1,2,3,6}:{(11,1),(12,1),(14,1),(31,1),(32,1),(52,1),(53,1)}
      22:{2,3}:{(13,1),(29,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(15,1),(31,1),(32,1),(33,1),(34,1),(56,1)}
      24:{1,2,5,6}:{(14,1),(16,1),(17,1),(33,1),(34,1),(60,1),(61,1)}
      25:{2,5}:{(15,1),(35,1)}
      26:{4,6}:{(16,1),(35,1),(56,1)}
      27:{2,5,6}:{(18,1),(36,1),(73,1)}
      28:{1,2,4}:{(19,1),(20,1),(38,1),(39,1),(66,1)}
      29:{3,4}:{(20,1),(22,1),(40,1)}
      30:{1,4,5}:{(20,1),(39,1),(40,1),(42,1),(43,1),(62,1),(65,1)}
      31:{1,4,6}:{(20,1),(21,1),(41,1),(43,1)}
      32:{2,3,6}:{(22,1),(23,1),(41,1),(44,1),(46,1),(78,1)}
      33:{1,2,5}:{(23,1),(25,1),(43,1),(44,1),(45,1),(79,1)}
      34:{1,4,6}:{(24,1),(26,1),(45,1),(46,1)}
      35:{4,5}:{(25,1),(26,1),(48,1)}
      36:{2,4,6}:{(26,1),(27,1),(47,1),(49,1),(66,1)}
      37:{3,4,6}:{(26,1),(46,1),(48,1),(49,1),(50,1),(67,1),(70,1)}
      38:{2,3,4}:{(28,1),(29,1),(51,1)}
      39:{1,2,5}:{(28,1),(30,1),(51,1),(52,1),(73,1)}
      40:{3,5}:{(29,1),(30,1),(53,1)}
      41:{3,4,6}:{(29,1),(31,1),(32,1),(53,1),(54,1),(56,1),(72,1)}
      42:{1,4,6}:{(30,1),(52,1),(53,1),(55,1),(71,1),(72,1)}
      43:{1,5}:{(31,1),(54,1)}
      44:{2,3,5}:{(32,1),(33,1),(54,1),(56,1),(57,1),(73,1),(74,1)}
      45:{1,4,5}:{(33,1),(34,1),(35,1),(56,1),(57,1),(60,1),(75,1)}
      46:{3,6}:{(34,1),(57,1)}
      47:{2,4,5}:{(35,1),(36,1),(59,1)}
      48:{3,5}:{(35,1),(37,1),(60,1)}
      49:{2,3,6}:{(36,1),(37,1),(59,1),(61,1),(74,1)}
      50:{1,4,6}:{(37,1),(58,1),(60,1),(61,1),(75,1),(76,1)}
      51:{2,3,5}:{(38,1),(39,1),(40,1),(62,1),(63,1)}
      52:{1,2,6}:{(39,1),(42,1),(63,1),(78,1)}
      53:{3,6}:{(40,1),(42,1)}
      54:{3,5}:{(41,1),(43,1),(65,1)}
      55:{1,5,6}:{(42,1),(43,1),(64,1),(77,1)}
      56:{4}:{(44,1)}
      57:{3,5}:{(45,1),(46,1),(67,1)}
      58:{1,3,6}:{(46,1),(50,1),(68,1),(80,1)}
      59:{2,3,5}:{(47,1),(48,1),(49,1),(69,1),(70,1)}
      60:{1,5}:{(48,1),(50,1)}
      61:{1,2,6}:{(49,1),(50,1),(69,1),(79,1)}
      62:{4,5}:{(51,1),(71,1)}
      63:{2,3,6}:{(51,1),(52,1),(53,1),(71,1)}
      64:{3,5,6}:{(53,1),(54,1),(55,1),(72,1)}
      65:{4,5}:{(54,1),(56,1),(72,1),(73,1)}
      66:{2,4}:{(56,1),(73,1),(74,1)}
      67:{3,4}:{(56,1),(57,1),(74,1),(75,1)}
      68:{1,3,5}:{(57,1),(58,1),(60,1),(75,1)}
      69:{1,2,5}:{(59,1),(60,1),(61,1),(76,1)}
      70:{3,4}:{(59,1),(76,1)}
      71:{4,6}:{(62,1),(63,1),(77,1)}
      72:{4,6}:{(64,1),(65,1),(78,1)}
      73:{2,5}:{(65,1),(66,1),(78,1)}
      74:{2,3}:{(66,1),(67,1),(79,1)}
      75:{1,4}:{(67,1),(68,1),(79,1)}
      76:{1,4}:{(69,1),(70,1),(80,1)}
      77:{5,6}:{(71,1)}
      78:{2,6}:{(72,1),(73,1)}
      79:{1,2}:{(74,1),(75,1)}
      80:{1,3}:{(76,1)}

104 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

105 :  0:{2,4,6}:{(2,1),(3,1),(4,1),(13,1),(53,1),(54,1),(62,1)}
       1:{2,5,6}:{(3,1),(4,1),(62,1),(63,1)}
       2:{2,3,6}:{(0,1),(5,1),(6,1),(7,1),(9,1),(39,1),(48,1)}
       3:{2,5}:{(0,1),(8,1),(59,1)}
       4:{4,6}:{(1,1),(8,1),(9,1)}
       5:{1,2,6}:{(2,1),(10,1),(11,1),(15,1),(41,1)}
       6:{3,4,6}:{(2,1),(10,1),(12,1),(13,1),(28,1),(29,1),(42,1),(44,1),(54,1)}
       7:{2,3,5}:{(2,1),(3,1),(11,1),(12,1),(13,1),(14,1),(28,1),(30,1),(31,1)}
       8:{4,5}:{(3,1),(4,1),(13,1),(14,1)}
       9:{3,6}:{(4,1),(14,1),(15,1)}
      10:{1,4,6}:{(5,1),(6,1),(16,1),(17,1),(18,1),(33,1)}
      11:{1,2,5}:{(5,1),(7,1),(17,1),(18,1),(23,1),(40,1)}
      12:{3,5}:{(6,1),(17,1),(20,1),(59,1)}
      13:{4}:{(7,1)}
      14:{3,5}:{(8,1),(9,1),(22,1),(23,1)}
      15:{1,6}:{(9,1),(23,1)}
      16:{1,3,6}:{(10,1),(24,1),(28,1),(44,1)}
      17:{1,5}:{(10,1),(12,1)}
      18:{1,4}:{(11,1),(13,1),(28,1)}
      19:{3,5,6}:{(12,1),(25,1),(29,1),(44,1)}
      20:{4,5}:{(12,1),(13,1),(29,1),(30,1)}
      21:{2,4}:{(13,1),(30,1),(31,1)}
      22:{3,4}:{(13,1),(14,1),(28,1),(31,1),(32,1)}
      23:{1,5}:{(14,1),(15,1),(32,1)}
      24:{1,3,5}:{(16,1),(17,1),(33,1),(36,1)}
      25:{1,5,6}:{(17,1),(19,1),(34,1),(59,1)}
      26:{1,4,5}:{(17,1),(18,1),(20,1),(33,1),(34,1),(35,1),(36,1),(50,1),(59,1)}
      27:{1,2,4}:{(18,1),(21,1),(35,1),(37,1),(40,1),(50,1),(51,1)}
      28:{3}:{(18,1)}
      29:{4,6}:{(19,1),(20,1),(39,1)}
      30:{2,5}:{(20,1),(21,1),(39,1)}
      31:{2,3}:{(21,1),(22,1),(40,1)}
      32:{1,4}:{(22,1),(23,1),(38,1),(40,1)}
      33:{1,4}:{(24,1),(41,1),(42,1)}
      34:{1,4,6}:{(25,1),(26,1),(29,1),(43,1),(44,1),(54,1)}
      35:{1,2,5}:{(26,1),(27,1),(30,1),(41,1),(43,1),(45,1),(56,1)}
      36:{3,5}:{(26,1),(28,1),(42,1),(44,1)}
      37:{2,3}:{(27,1),(28,1),(47,1)}
      38:{1,3}:{(28,1),(32,1)}
      39:{2,6}:{(29,1),(30,1)}
      40:{1,2}:{(31,1),(32,1)}
      41:{1,2}:{(33,1),(48,1)}
      42:{3,4}:{(33,1),(36,1),(48,1),(50,1)}
      43:{1,2,6}:{(34,1),(35,1),(39,1),(49,1),(61,1)}
      44:{3,6}:{(34,1),(36,1)}
      45:{2,3,5}:{(35,1),(36,1),(37,1),(48,1),(49,1),(50,1),(52,1),(58,1),(59,1)}
      46:{1,2,3}:{(37,1),(38,1),(40,1),(51,1)}
      47:{3,4}:{(37,1),(50,1),(51,1),(52,1)}
      48:{2,3}:{(41,1),(42,1),(53,1)}
      49:{2,3,6}:{(43,1),(44,1),(45,1),(54,1),(57,1),(62,1)}
      50:{4}:{(45,1)}
      51:{1,4}:{(46,1),(47,1),(56,1)}
      52:{3,5}:{(47,1),(55,1),(56,1),(57,1)}
      53:{2,4}:{(48,1),(50,1),(58,1)}
      54:{4,6}:{(49,1),(50,1),(59,1)}
      55:{4,5}:{(50,1),(52,1),(58,1),(59,1),(60,1)}
      56:{1,5}:{(51,1),(52,1),(61,1)}
      57:{3,6}:{(52,1),(60,1),(61,1)}
      58:{2,5}:{(53,1),(55,1),(62,1)}
      59:{5}:{(54,1)}
      60:{4,6}:{(55,1),(57,1),(62,1),(63,1)}
      61:{1,6}:{(56,1),(57,1)}
      62:{2,6}:{(58,1),(60,1)}
      63:{5,6}:{(59,1),(60,1)}

106 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(7,1),(9,1),(10,1)}
       1:{1,2,6}:{(0,1),(4,1),(5,1),(14,1),(31,1)}
       2:{3,6}:{(0,1),(6,1),(13,1)}
       3:{1,5}:{(0,1),(6,1),(11,1)}
       4:{2,3,6}:{(1,1),(2,1),(7,1),(8,1),(25,1),(26,1)}
       5:{1,2,5}:{(1,1),(3,1),(8,1),(9,1),(28,1),(29,1)}
       6:{3,5}:{(2,1),(3,1),(10,1)}
       7:{4,6}:{(4,1),(11,1),(12,1)}
       8:{2,3,5}:{(4,1),(5,1),(6,1),(11,1),(12,1),(13,1),(14,1),(21,1),(22,1),(23,1)}
       9:{1,4}:{(5,1),(12,1),(13,1)}
      10:{4}:{(6,1),(14,1)}
      11:{5}:{(7,1)}
      12:{4}:{(8,1)}
      13:{3}:{(9,1)}
      14:{2}:{(10,1)}
      15:{5,6}:{(11,1),(20,1),(38,1)}
      16:{4,5}:{(11,1),(12,1),(20,1),(21,1),(22,1),(33,1),(38,1)}
      17:{2,4}:{(12,1),(14,1),(21,1),(23,1),(33,1),(44,1)}
      18:{3,4}:{(12,1),(13,1),(22,1),(23,1),(24,1),(33,1),(39,1)}
      19:{1,3}:{(13,1),(24,1),(39,1)}
      20:{4,6}:{(15,1),(16,1),(25,1),(26,1)}
      21:{2,5}:{(16,1),(17,1),(25,1)}
      22:{3,5}:{(16,1),(18,1),(26,1),(28,1)}
      23:{2,3}:{(17,1),(18,1),(29,1)}
      24:{1,4}:{(18,1),(19,1),(28,1),(29,1)}
      25:{2,6}:{(20,1),(21,1)}
      26:{3,6}:{(20,1),(22,1),(31,1)}
      27:{2,3,5}:{(21,1),(22,1),(23,1),(30,1),(32,1),(33,1),(38,1),(39,1),(42,1),(44,1)}
      28:{1,5}:{(22,1),(24,1),(31,1)}
      29:{1,2}:{(23,1),(24,1)}
      30:{2,3,6}:{(25,1),(26,1),(27,1),(34,1),(35,1),(40,1)}
      31:{1,6}:{(26,1),(28,1)}
      32:{1,2,5}:{(27,1),(28,1),(29,1),(34,1),(36,1),(41,1)}
      33:{4}:{(27,1)}
      34:{1,2,6}:{(30,1),(31,1),(32,1),(37,1),(44,1)}
      35:{4,6}:{(30,1),(33,1),(38,1)}
      36:{1,4}:{(32,1),(33,1),(39,1)}
      37:{1,4,6}:{(34,1),(35,1),(36,1),(40,1),(41,1),(43,1)}
      38:{5}:{(35,1)}
      39:{3}:{(36,1)}
      40:{3,6}:{(37,1),(39,1),(42,1)}
      41:{1,5}:{(37,1),(38,1),(42,1)}
      42:{3,5}:{(40,1),(41,1),(43,1)}
      43:{4}:{(42,1),(44,1)}
      44:{2}:{(43,1)}

107 :  0:{3,4,6}:{(2,1),(3,1),(4,1),(6,1),(18,1),(22,1),(33,1),(35,1),(41,1)}
       1:{3,5,6}:{(4,1),(5,1),(6,1),(22,1)}
       2:{2,3,6}:{(0,1),(8,1),(9,1),(10,1),(14,1),(42,1),(45,1)}
       3:{1,4,6}:{(0,1),(7,1),(8,1),(11,1),(23,1),(24,1)}
       4:{3,5}:{(0,1),(11,1),(12,1),(49,1)}
       5:{1,5,6}:{(1,1),(11,1),(13,1),(49,1)}
       6:{4,6}:{(1,1),(12,1),(14,1)}
       7:{1,3,6}:{(3,1),(15,1),(22,1),(35,1)}
       8:{1,2,6}:{(2,1),(3,1),(16,1),(32,1),(53,1)}
       9:{2,4,6}:{(2,1),(17,1),(18,1),(36,1),(41,1),(50,1),(60,1)}
      10:{2,3,5}:{(2,1),(4,1),(16,1),(17,1),(18,1),(20,1),(35,1),(37,1),(38,1)}
      11:{1,5}:{(3,1),(4,1)}
      12:{4,5}:{(4,1),(6,1),(18,1),(20,1)}
      13:{1,4,6}:{(5,1),(6,1),(19,1),(21,1),(22,1),(41,1)}
      14:{2,6}:{(6,1),(20,1)}
      15:{1,3,5}:{(7,1),(11,1),(23,1),(30,1)}
      16:{1,2,5}:{(8,1),(10,1),(11,1),(24,1),(46,1),(47,1)}
      17:{2,5}:{(9,1),(26,1),(49,1)}
      18:{4}:{(10,1)}
      19:{1,4,5}:{(11,1),(12,1),(13,1),(23,1),(24,1),(29,1),(30,1),(48,1),(49,1)}
      20:{2,5}:{(12,1),(14,1),(27,1)}
      21:{1,2,6}:{(13,1),(14,1),(29,1),(31,1),(63,1)}
      22:{3,6}:{(13,1),(30,1)}
      23:{1,4}:{(15,1),(32,1),(33,1)}
      24:{1,4}:{(16,1),(18,1),(35,1)}
      25:{2,5,6}:{(17,1),(36,1),(55,1),(60,1)}
      26:{4,5}:{(17,1),(18,1),(36,1),(37,1)}
      27:{2,4}:{(18,1),(20,1),(38,1)}
      28:{3,4}:{(18,1),(35,1),(37,1),(38,1),(39,1)}
      29:{1,2,5}:{(19,1),(20,1),(21,1),(32,1),(34,1),(40,1),(61,1)}
      30:{3,5}:{(19,1),(22,1),(33,1),(35,1)}
      31:{2,3,6}:{(21,1),(22,1),(40,1),(41,1),(60,1),(62,1)}
      32:{1,2}:{(23,1),(42,1)}
      33:{3,4}:{(23,1),(30,1),(42,1),(48,1)}
      34:{1,2,4}:{(24,1),(27,1),(29,1),(43,1),(47,1),(48,1),(57,1)}
      35:{3}:{(24,1)}
      36:{4,6}:{(25,1),(26,1),(45,1)}
      37:{3,5}:{(26,1),(28,1),(45,1),(46,1)}
      38:{2,3}:{(27,1),(28,1),(47,1)}
      39:{1,4}:{(28,1),(44,1),(46,1),(47,1)}
      40:{2,3,5}:{(29,1),(30,1),(31,1),(42,1),(43,1),(48,1),(49,1),(56,1),(58,1)}
      41:{4,6}:{(31,1),(48,1),(49,1)}
      42:{2,3}:{(32,1),(33,1),(50,1)}
      43:{2,3}:{(34,1),(35,1),(52,1)}
      44:{1,3}:{(35,1),(39,1)}
      45:{3,6}:{(36,1),(37,1),(53,1)}
      46:{1,5}:{(37,1),(39,1),(53,1)}
      47:{1,2}:{(38,1),(39,1)}
      48:{4}:{(40,1)}
      49:{5}:{(41,1)}
      50:{2,4}:{(42,1),(48,1),(56,1)}
      51:{1,2,3}:{(43,1),(44,1),(47,1),(57,1)}
      52:{3,4}:{(43,1),(48,1),(57,1),(58,1)}
      53:{1,6}:{(45,1),(46,1)}
      54:{4,5}:{(48,1),(49,1),(56,1),(58,1),(59,1)}
      55:{5,6}:{(49,1),(59,1)}
      56:{2,5}:{(50,1),(54,1),(60,1)}
      57:{1,4}:{(51,1),(52,1),(61,1)}
      58:{3,5}:{(52,1),(54,1),(61,1),(62,1)}
      59:{4,6}:{(54,1),(55,1),(60,1),(62,1)}
      60:{2,6}:{(56,1),(59,1)}
      61:{1,5}:{(57,1),(58,1),(63,1)}
      62:{3,6}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

108 :  0:{4,5,6}:{(1,1),(2,1),(13,1),(68,1)}
       1:{2,5,6}:{(0,1),(3,1),(74,1)}
       2:{3,5,6}:{(0,1),(4,1),(6,1),(59,1)}
       3:{2,4,6}:{(1,1),(7,1),(9,1),(13,1),(70,1)}
       4:{3,4,6}:{(2,1),(8,1),(10,1),(11,1),(13,1),(34,1)}
       5:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(12,1),(13,1),(30,1),(33,1),(34,1),(53,1)}
       6:{1,5,6}:{(2,1),(11,1),(52,1)}
       7:{2,4,5}:{(3,1),(14,1),(23,1)}
       8:{3,4,5}:{(4,1),(15,1),(16,1),(23,1),(45,1),(56,1),(59,1),(61,1)}
       9:{2,3,6}:{(3,1),(14,1),(17,1),(18,1),(62,1)}
      10:{2,3,6}:{(4,1),(15,1),(20,1),(21,1)}
      11:{1,4,6}:{(4,1),(6,1),(16,1),(19,1),(20,1)}
      12:{1,2,5,6}:{(5,1),(6,1),(17,1),(20,1),(22,1),(41,1),(44,1)}
      13:{4,6}:{(5,1),(23,1),(61,1)}
      14:{2,3,5}:{(7,1),(9,1),(24,1),(25,1),(30,1)}
      15:{2,3,5}:{(8,1),(10,1),(27,1),(28,1),(33,1),(49,1)}
      16:{1,4,5}:{(8,1),(11,1),(26,1),(27,1),(48,1),(52,1)}
      17:{1,2,6}:{(9,1),(24,1),(29,1),(67,1)}
      18:{3,4,6}:{(9,1),(13,1),(25,1),(29,1),(30,1),(34,1),(54,1)}
      19:{1,3,6}:{(11,1),(26,1),(34,1)}
      20:{1,2,6}:{(10,1),(11,1),(27,1)}
      21:{2,4,6}:{(10,1),(13,1),(28,1),(33,1)}
      22:{1,4,6}:{(12,1),(13,1),(34,1),(35,1)}
      23:{4,5}:{(13,1),(30,1),(33,1)}
      24:{1,2,5}:{(14,1),(17,1),(36,1),(41,1)}
      25:{3,4}:{(14,1),(36,1)}
      26:{1,3,5}:{(16,1),(19,1),(37,1),(45,1)}
      27:{1,2,5}:{(15,1),(16,1),(20,1),(39,1)}
      28:{2,4}:{(15,1),(61,1)}
      29:{1,4,6}:{(17,1),(18,1),(36,1),(40,1),(41,1),(58,1)}
      30:{3,5}:{(18,1),(23,1),(41,1)}
      31:{1,2,3,6}:{(19,1),(20,1),(38,1),(42,1),(43,1),(72,1),(73,1)}
      32:{1,2,4,6}:{(20,1),(21,1),(22,1),(39,1),(42,1),(43,1),(44,1),(61,1)}
      33:{2,5}:{(21,1),(23,1)}
      34:{3,6}:{(22,1),(45,1)}
      35:{1,4,5}:{(22,1),(23,1),(41,1),(44,1),(45,1),(58,1),(61,1)}
      36:{1,4}:{(24,1),(25,1),(46,1)}
      37:{1,3,4}:{(26,1),(47,1),(48,1),(54,1)}
      38:{1,2,3,5}:{(26,1),(27,1),(31,1),(47,1),(48,1),(49,1),(52,1),(53,1),(64,1),(65,1)}
      39:{1,2,4}:{(27,1),(28,1),(48,1),(49,1)}
      40:{1,3,6}:{(29,1),(34,1),(46,1),(50,1)}
      41:{1,5}:{(29,1),(30,1)}
      42:{1,4,6}:{(31,1),(48,1),(51,1),(52,1)}
      43:{2,3,6}:{(32,1),(34,1),(49,1),(51,1),(53,1),(78,1)}
      44:{1,2,5}:{(32,1),(33,1),(35,1),(52,1),(53,1),(67,1)}
      45:{3,5}:{(34,1),(35,1),(54,1)}
      46:{1,3}:{(36,1)}
      47:{1,2,3}:{(37,1),(55,1),(62,1)}
      48:{1,4}:{(38,1),(56,1),(61,1)}
      49:{2,3}:{(39,1),(56,1)}
      50:{1,3,5}:{(40,1),(41,1),(45,1),(58,1)}
      51:{3,4,6}:{(42,1),(43,1),(56,1),(59,1),(61,1),(73,1),(75,1)}
      52:{1,5}:{(42,1),(59,1)}
      53:{2,3,5}:{(43,1),(44,1),(45,1),(59,1),(61,1),(62,1),(74,1)}
      54:{3,4}:{(45,1),(58,1),(61,1),(62,1)}
      55:{1,2,4}:{(47,1),(48,1),(63,1),(64,1),(70,1)}
      56:{3,4}:{(48,1),(49,1),(65,1)}
      57:{1,4,5}:{(48,1),(52,1),(64,1),(65,1),(66,1),(68,1),(76,1)}
      58:{1,4}:{(50,1),(54,1),(67,1)}
      59:{3,5}:{(51,1),(52,1),(68,1)}
      60:{1,5,6}:{(52,1),(66,1),(69,1),(80,1)}
      61:{4}:{(53,1)}
      62:{2,3}:{(54,1),(67,1),(70,1)}
      63:{2,3,4}:{(55,1),(56,1),(71,1)}
      64:{1,2,5}:{(55,1),(57,1),(71,1),(72,1),(74,1)}
      65:{3,5}:{(56,1),(57,1),(73,1)}
      66:{1,4,6}:{(57,1),(60,1),(72,1),(73,1),(75,1),(79,1)}
      67:{1,2}:{(58,1),(62,1)}
      68:{4,5}:{(59,1),(61,1),(74,1),(75,1)}
      69:{3,5,6}:{(59,1),(60,1),(73,1),(75,1)}
      70:{2,4}:{(61,1),(62,1),(74,1)}
      71:{2,3,5}:{(63,1),(64,1),(65,1),(76,1),(77,1)}
      72:{1,2,6}:{(64,1),(66,1),(77,1),(78,1)}
      73:{3,6}:{(65,1),(66,1)}
      74:{2,5}:{(68,1),(70,1),(78,1)}
      75:{4,6}:{(68,1),(69,1),(78,1)}
      76:{4,5}:{(71,1),(79,1)}
      77:{2,3,6}:{(71,1),(72,1),(73,1),(79,1)}
      78:{2,6}:{(74,1),(75,1)}
      79:{4,6}:{(76,1),(77,1),(80,1)}
      80:{5,6}:{(79,1)}

109 :  0:{1,3,4}:{(1,1),(3,1),(10,1),(65,1)}
       1:{1,2,3}:{(0,1),(4,1),(71,1)}
       2:{2,3,4}:{(4,1),(6,1),(20,1)}
       3:{1,3,5}:{(0,1),(7,1),(8,1),(57,1)}
       4:{1,2,4}:{(1,1),(2,1),(9,1),(10,1),(64,1)}
       5:{1,2,3,5}:{(1,1),(3,1),(9,1),(10,1),(11,1),(14,1),(27,1),(29,1),(32,1),(48,1)}
       6:{2,3,5}:{(2,1),(9,1),(12,1),(13,1),(27,1)}
       7:{1,4,5}:{(3,1),(10,1),(14,1),(15,1),(16,1),(32,1)}
       8:{1,3,6}:{(3,1),(16,1),(53,1)}
       9:{1,2,5}:{(4,1),(6,1),(17,1),(18,1),(58,1)}
      10:{1,4}:{(5,1),(20,1),(56,1)}
      11:{1,2,3,6}:{(5,1),(8,1),(18,1),(21,1),(24,1),(38,1),(40,1)}
      12:{4,5}:{(6,1),(22,1)}
      13:{2,3,6}:{(6,1),(18,1),(22,1),(38,1)}
      14:{1,2,5}:{(7,1),(19,1),(23,1),(24,1)}
      15:{3,4,5}:{(7,1),(20,1),(23,1),(25,1),(42,1),(56,1),(57,1),(59,1)}
      16:{1,4,6}:{(7,1),(8,1),(24,1),(25,1),(26,1)}
      17:{1,4,5}:{(9,1),(10,1),(12,1),(27,1),(28,1),(32,1),(50,1)}
      18:{1,2,6}:{(9,1),(13,1),(28,1),(63,1)}
      19:{1,2,4}:{(10,1),(14,1),(29,1),(34,1)}
      20:{3,4}:{(10,1),(27,1),(29,1)}
      21:{1,4,6}:{(10,1),(11,1),(31,1),(32,1)}
      22:{4,6}:{(12,1),(13,1),(33,1)}
      23:{2,3,5}:{(14,1),(15,1),(29,1),(34,1),(35,1),(51,1)}
      24:{1,2,6}:{(14,1),(16,1),(35,1)}
      25:{3,4,6}:{(15,1),(16,1),(35,1),(37,1),(52,1),(53,1)}
      26:{1,5,6}:{(16,1),(32,1),(37,1)}
      27:{3,5}:{(17,1),(20,1),(38,1)}
      28:{1,4,6}:{(17,1),(18,1),(22,1),(38,1),(39,1),(55,1)}
      29:{2,3}:{(19,1),(20,1)}
      30:{1,2,4,6}:{(19,1),(21,1),(24,1),(40,1),(41,1),(43,1),(45,1),(56,1)}
      31:{3,4,6}:{(20,1),(21,1),(38,1),(40,1),(42,1),(55,1),(56,1)}
      32:{1,5}:{(21,1),(42,1)}
      33:{5,6}:{(22,1)}
      34:{2,4}:{(23,1),(56,1)}
      35:{2,3,6}:{(23,1),(24,1),(25,1),(43,1)}
      36:{1,2,5,6}:{(24,1),(26,1),(41,1),(44,1),(45,1),(74,1),(75,1)}
      37:{3,5,6}:{(25,1),(26,1),(42,1),(46,1)}
      38:{3,6}:{(27,1),(28,1)}
      39:{1,5,6}:{(28,1),(32,1),(33,1),(47,1)}
      40:{2,3,6}:{(29,1),(30,1),(31,1),(48,1),(53,1),(63,1)}
      41:{1,2,5}:{(30,1),(32,1),(48,1),(49,1),(51,1),(76,1)}
      42:{3,5}:{(31,1),(32,1),(50,1)}
      43:{2,4,6}:{(34,1),(35,1),(51,1),(52,1)}
      44:{2,3,5,6}:{(35,1),(36,1),(37,1),(48,1),(51,1),(52,1),(53,1),(54,1),(68,1),(69,1)}
      45:{1,4,6}:{(36,1),(49,1),(52,1),(53,1)}
      46:{4,5,6}:{(37,1),(50,1),(52,1),(54,1)}
      47:{3,5,6}:{(38,1),(39,1),(42,1),(55,1)}
      48:{2,3,5}:{(40,1),(41,1),(42,1),(56,1),(57,1),(58,1),(71,1)}
      49:{1,4,5}:{(41,1),(45,1),(56,1),(57,1),(59,1),(72,1),(74,1)}
      50:{4,5}:{(42,1),(55,1),(56,1),(58,1)}
      51:{2,5}:{(43,1),(59,1)}
      52:{4,6}:{(44,1),(56,1),(59,1)}
      53:{3,6}:{(45,1),(57,1)}
      54:{2,5,6}:{(46,1),(58,1),(60,1)}
      55:{4,6}:{(47,1),(50,1),(63,1)}
      56:{4}:{(48,1)}
      57:{3,5}:{(49,1),(53,1),(65,1)}
      58:{2,5}:{(50,1),(63,1),(64,1)}
      59:{4,5}:{(51,1),(52,1),(68,1)}
      60:{2,4,6}:{(52,1),(54,1),(64,1),(67,1),(69,1)}
      61:{3,4,6}:{(52,1),(53,1),(65,1),(68,1),(69,1),(70,1),(78,1)}
      62:{1,3,6}:{(53,1),(66,1),(70,1),(80,1)}
      63:{2,6}:{(55,1),(58,1)}
      64:{2,4}:{(56,1),(58,1),(71,1)}
      65:{3,4}:{(56,1),(57,1),(71,1),(72,1)}
      66:{1,3,5}:{(57,1),(62,1),(72,1),(74,1)}
      67:{2,4,5}:{(59,1),(60,1),(73,1)}
      68:{3,5}:{(59,1),(61,1),(74,1)}
      69:{2,3,6}:{(60,1),(61,1),(71,1),(73,1),(75,1)}
      70:{1,4,6}:{(61,1),(62,1),(72,1),(74,1),(75,1),(79,1)}
      71:{2,3}:{(64,1),(65,1),(76,1)}
      72:{1,4}:{(65,1),(66,1),(76,1)}
      73:{2,3,5}:{(67,1),(68,1),(69,1),(77,1),(78,1)}
      74:{1,5}:{(68,1),(70,1)}
      75:{1,2,6}:{(69,1),(70,1),(76,1),(77,1)}
      76:{1,2}:{(71,1),(72,1)}
      77:{1,2,5}:{(73,1),(74,1),(75,1),(79,1)}
      78:{3,4}:{(73,1),(79,1)}
      79:{1,4}:{(77,1),(78,1),(80,1)}
      80:{1,3}:{(79,1)}

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

111 :  0:{2,3,4}:{(1,1),(2,1),(24,1)}
       1:{1,2,4}:{(0,1),(4,1),(5,1),(15,1),(64,1)}
       2:{2,3,5}:{(0,1),(5,1),(6,1),(7,1),(17,1)}
       3:{1,3,4}:{(4,1),(8,1),(15,1),(65,1)}
       4:{1,2,3}:{(1,1),(3,1),(71,1)}
       5:{1,2,5}:{(1,1),(2,1),(10,1),(11,1),(59,1)}
       6:{4,5}:{(2,1),(12,1)}
       7:{2,3,6}:{(2,1),(11,1),(12,1),(26,1)}
       8:{1,3,5}:{(3,1),(13,1),(14,1),(58,1)}
       9:{1,2,3,5}:{(4,1),(5,1),(8,1),(15,1),(16,1),(17,1),(20,1),(32,1),(35,1),(49,1)}
      10:{1,4,5}:{(5,1),(6,1),(15,1),(17,1),(18,1),(35,1),(51,1)}
      11:{1,2,6}:{(5,1),(7,1),(18,1),(52,1)}
      12:{4,6}:{(6,1),(7,1),(19,1)}
      13:{1,4,5}:{(8,1),(15,1),(20,1),(21,1),(22,1),(35,1)}
      14:{1,3,6}:{(8,1),(22,1),(55,1)}
      15:{1,4}:{(9,1),(24,1),(57,1)}
      16:{1,2,3,6}:{(9,1),(11,1),(14,1),(25,1),(26,1),(29,1),(41,1)}
      17:{3,5}:{(10,1),(24,1),(26,1)}
      18:{1,4,6}:{(10,1),(11,1),(12,1),(26,1),(27,1),(44,1)}
      19:{5,6}:{(12,1)}
      20:{1,2,5}:{(13,1),(23,1),(28,1),(29,1)}
      21:{3,4,5}:{(13,1),(24,1),(28,1),(30,1),(43,1),(57,1),(58,1),(60,1)}
      22:{1,4,6}:{(13,1),(14,1),(29,1),(30,1),(31,1)}
      23:{1,2,4}:{(15,1),(20,1),(32,1),(37,1)}
      24:{3,4}:{(15,1),(17,1),(32,1)}
      25:{1,4,6}:{(15,1),(16,1),(34,1),(35,1)}
      26:{3,6}:{(17,1),(18,1)}
      27:{1,5,6}:{(18,1),(19,1),(35,1),(36,1)}
      28:{2,3,5}:{(20,1),(21,1),(32,1),(37,1),(38,1),(53,1)}
      29:{1,2,6}:{(20,1),(22,1),(38,1)}
      30:{3,4,6}:{(21,1),(22,1),(38,1),(40,1),(54,1),(55,1)}
      31:{1,5,6}:{(22,1),(35,1),(40,1)}
      32:{2,3}:{(23,1),(24,1)}
      33:{1,2,4,6}:{(23,1),(25,1),(29,1),(41,1),(42,1),(45,1),(47,1),(57,1)}
      34:{3,4,6}:{(24,1),(25,1),(26,1),(41,1),(43,1),(44,1),(57,1)}
      35:{1,5}:{(25,1),(43,1)}
      36:{3,5,6}:{(26,1),(27,1),(43,1),(44,1)}
      37:{2,4}:{(28,1),(57,1)}
      38:{2,3,6}:{(28,1),(29,1),(30,1),(45,1)}
      39:{1,2,5,6}:{(29,1),(31,1),(42,1),(46,1),(47,1),(74,1),(75,1)}
      40:{3,5,6}:{(30,1),(31,1),(43,1),(48,1)}
      41:{2,3,6}:{(32,1),(33,1),(34,1),(49,1),(52,1),(55,1)}
      42:{1,2,5}:{(33,1),(35,1),(49,1),(50,1),(53,1),(76,1)}
      43:{3,5}:{(34,1),(35,1),(51,1)}
      44:{4,6}:{(36,1),(51,1),(52,1)}
      45:{2,4,6}:{(37,1),(38,1),(53,1),(54,1)}
      46:{2,3,5,6}:{(38,1),(39,1),(40,1),(49,1),(53,1),(54,1),(55,1),(56,1),(68,1),(69,1)}
      47:{1,4,6}:{(39,1),(50,1),(54,1),(55,1)}
      48:{4,5,6}:{(40,1),(51,1),(54,1),(56,1)}
      49:{2,3,5}:{(41,1),(42,1),(43,1),(57,1),(58,1),(59,1),(71,1)}
      50:{1,4,5}:{(42,1),(47,1),(57,1),(58,1),(60,1),(72,1),(74,1)}
      51:{4,5}:{(43,1),(44,1),(57,1),(59,1)}
      52:{2,6}:{(44,1),(59,1)}
      53:{2,5}:{(45,1),(60,1)}
      54:{4,6}:{(46,1),(57,1),(60,1)}
      55:{3,6}:{(47,1),(58,1)}
      56:{2,5,6}:{(48,1),(59,1),(61,1)}
      57:{4}:{(49,1)}
      58:{3,5}:{(50,1),(55,1),(65,1)}
      59:{2,5}:{(51,1),(52,1),(64,1)}
      60:{4,5}:{(53,1),(54,1),(68,1)}
      61:{2,4,6}:{(54,1),(56,1),(64,1),(67,1),(69,1)}
      62:{3,4,6}:{(54,1),(55,1),(65,1),(68,1),(69,1),(70,1),(78,1)}
      63:{1,3,6}:{(55,1),(66,1),(70,1),(80,1)}
      64:{2,4}:{(57,1),(59,1),(71,1)}
      65:{3,4}:{(57,1),(58,1),(71,1),(72,1)}
      66:{1,3,5}:{(58,1),(63,1),(72,1),(74,1)}
      67:{2,4,5}:{(60,1),(61,1),(73,1)}
      68:{3,5}:{(60,1),(62,1),(74,1)}
      69:{2,3,6}:{(61,1),(62,1),(71,1),(73,1),(75,1)}
      70:{1,4,6}:{(62,1),(63,1),(72,1),(74,1),(75,1),(79,1)}
      71:{2,3}:{(64,1),(65,1),(76,1)}
      72:{1,4}:{(65,1),(66,1),(76,1)}
      73:{2,3,5}:{(67,1),(68,1),(69,1),(77,1),(78,1)}
      74:{1,5}:{(68,1),(70,1)}
      75:{1,2,6}:{(69,1),(70,1),(76,1),(77,1)}
      76:{1,2}:{(71,1),(72,1)}
      77:{1,2,5}:{(73,1),(74,1),(75,1),(79,1)}
      78:{3,4}:{(73,1),(79,1)}
      79:{1,4}:{(77,1),(78,1),(80,1)}
      80:{1,3}:{(79,1)}

112 :  0:{2,4,6}:{(3,1),(4,1),(16,1),(20,1),(44,1),(51,1),(55,1)}
       1:{3,4,6}:{(3,1),(5,1),(6,1),(18,1),(20,1),(25,1),(38,1),(40,1),(51,1)}
       2:{1,3,6}:{(5,1),(7,1),(38,1),(40,1)}
       3:{2,3,6}:{(0,1),(1,1),(10,1),(11,1),(26,1),(28,1),(35,1)}
       4:{2,5}:{(0,1),(12,1),(56,1)}
       5:{1,4,6}:{(1,1),(2,1),(10,1),(13,1),(15,1),(29,1)}
       6:{3,5}:{(1,1),(13,1),(14,1),(56,1)}
       7:{1,3,5}:{(2,1),(13,1),(15,1),(34,1)}
       8:{2,5,6}:{(4,1),(16,1),(55,1),(60,1)}
       9:{3,5,6}:{(6,1),(17,1),(18,1),(38,1)}
      10:{1,2,6}:{(3,1),(5,1),(19,1),(24,1),(36,1)}
      11:{2,3,5}:{(3,1),(4,1),(6,1),(19,1),(20,1),(21,1),(23,1),(40,1),(41,1)}
      12:{4,5}:{(4,1),(16,1),(20,1),(21,1)}
      13:{1,5}:{(5,1),(6,1)}
      14:{4,5}:{(6,1),(18,1),(20,1),(23,1)}
      15:{1,4}:{(7,1),(24,1),(25,1)}
      16:{4,6}:{(8,1),(12,1),(26,1)}
      17:{1,5,6}:{(9,1),(13,1),(27,1),(56,1)}
      18:{4,6}:{(9,1),(14,1),(28,1)}
      19:{1,2,5}:{(10,1),(11,1),(13,1),(29,1),(32,1),(48,1)}
      20:{4}:{(11,1)}
      21:{3,5}:{(12,1),(26,1),(31,1),(32,1)}
      22:{1,4,5}:{(13,1),(14,1),(15,1),(27,1),(29,1),(33,1),(34,1),(49,1),(56,1)}
      23:{2,5}:{(14,1),(28,1),(30,1)}
      24:{1,2}:{(15,1),(35,1)}
      25:{3,4}:{(15,1),(34,1),(35,1),(49,1)}
      26:{3,6}:{(16,1),(21,1),(36,1)}
      27:{1,4,6}:{(17,1),(18,1),(22,1),(37,1),(38,1),(51,1)}
      28:{2,6}:{(18,1),(23,1)}
      29:{1,4}:{(19,1),(20,1),(40,1)}
      30:{2,4}:{(20,1),(23,1),(41,1)}
      31:{3,4}:{(20,1),(21,1),(40,1),(41,1),(42,1)}
      32:{1,5}:{(21,1),(36,1),(42,1)}
      33:{1,2,5}:{(22,1),(23,1),(24,1),(37,1),(39,1),(43,1),(61,1)}
      34:{3,5}:{(22,1),(25,1),(38,1),(40,1)}
      35:{2,3}:{(24,1),(25,1),(44,1)}
      36:{1,6}:{(26,1),(32,1)}
      37:{1,2,6}:{(27,1),(28,1),(33,1),(45,1),(63,1)}
      38:{3,6}:{(27,1),(34,1)}
      39:{1,2,4}:{(29,1),(30,1),(33,1),(46,1),(48,1),(49,1),(57,1)}
      40:{3}:{(29,1)}
      41:{2,3}:{(30,1),(31,1),(48,1)}
      42:{1,4}:{(31,1),(32,1),(47,1),(48,1)}
      43:{2,3,5}:{(33,1),(34,1),(35,1),(45,1),(46,1),(49,1),(50,1),(56,1),(58,1)}
      44:{2,4}:{(35,1),(49,1),(50,1)}
      45:{2,3,6}:{(37,1),(38,1),(43,1),(51,1),(55,1),(62,1)}
      46:{2,3}:{(39,1),(40,1),(53,1)}
      47:{1,3}:{(40,1),(42,1)}
      48:{1,2}:{(41,1),(42,1)}
      49:{4}:{(43,1)}
      50:{2,5}:{(44,1),(54,1),(55,1)}
      51:{4,6}:{(45,1),(49,1),(56,1)}
      52:{1,2,3}:{(46,1),(47,1),(48,1),(57,1)}
      53:{3,4}:{(46,1),(49,1),(57,1),(58,1)}
      54:{4,5}:{(49,1),(50,1),(56,1),(58,1),(59,1)}
      55:{2,6}:{(50,1),(59,1)}
      56:{5}:{(51,1)}
      57:{1,4}:{(52,1),(53,1),(61,1)}
      58:{3,5}:{(53,1),(54,1),(61,1),(62,1)}
      59:{4,6}:{(54,1),(55,1),(60,1),(62,1)}
      60:{5,6}:{(56,1),(59,1)}
      61:{1,5}:{(57,1),(58,1),(63,1)}
      62:{3,6}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

113 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(8,1),(10,1),(13,1),(25,1),(41,1),(52,1),(56,1),(59,1)}
       1:{1,4}:{(0,1),(5,1),(32,1)}
       2:{1,2,3,6}:{(0,1),(6,1),(15,1),(16,1),(18,1),(45,1),(55,1)}
       3:{1,4,5}:{(1,1),(7,1),(8,1),(9,1),(13,1),(21,1),(27,1),(35,1)}
       4:{1,2,4}:{(1,1),(7,1),(10,1),(21,1),(39,1),(52,1)}
       5:{3,4}:{(1,1),(8,1),(10,1),(21,1),(59,1)}
       6:{1,4,6}:{(1,1),(2,1),(12,1),(13,1)}
       7:{1,2,5}:{(3,1),(4,1),(14,1),(15,1),(34,1)}
       8:{3,5}:{(3,1),(5,1),(16,1)}
       9:{1,4,6}:{(3,1),(15,1),(16,1),(17,1),(28,1),(31,1)}
      10:{2,3}:{(4,1),(5,1)}
      11:{1,2,4,6}:{(4,1),(6,1),(15,1),(18,1),(19,1),(28,1),(30,1),(32,1),(43,1),(55,1),(58,1)}
      12:{3,4,6}:{(5,1),(6,1),(16,1),(18,1),(20,1),(28,1),(31,1),(32,1)}
      13:{1,5}:{(6,1),(20,1)}
      14:{2,3,5}:{(7,1),(8,1),(10,1),(21,1),(22,1),(35,1)}
      15:{1,2,6}:{(7,1),(9,1),(22,1),(38,1)}
      16:{3,6}:{(8,1),(9,1)}
      17:{1,5,6}:{(9,1),(13,1),(24,1),(35,1)}
      18:{2,3,6}:{(10,1),(11,1),(12,1),(25,1),(37,1),(38,1),(59,1)}
      19:{1,2,5}:{(11,1),(13,1),(25,1),(26,1),(35,1),(48,1),(52,1)}
      20:{3,5}:{(12,1),(13,1),(27,1),(35,1)}
      21:{4}:{(14,1)}
      22:{2,3,6}:{(14,1),(15,1),(16,1),(28,1)}
      23:{1,2,5,6}:{(15,1),(17,1),(19,1),(29,1),(30,1),(54,1),(55,1)}
      24:{3,5,6}:{(16,1),(17,1),(20,1),(31,1)}
      25:{2,3,5}:{(18,1),(19,1),(20,1),(32,1),(33,1),(34,1),(46,1)}
      26:{1,4,5}:{(19,1),(30,1),(32,1),(33,1),(42,1),(47,1),(54,1),(58,1)}
      27:{4,5}:{(20,1),(31,1),(32,1),(34,1)}
      28:{4,6}:{(21,1),(22,1),(35,1)}
      29:{2,3,5,6}:{(22,1),(23,1),(24,1),(25,1),(35,1),(36,1),(37,1),(38,1),(48,1),(49,1),(50,1)}
      30:{1,4,6}:{(23,1),(26,1),(36,1),(37,1)}
      31:{4,6}:{(24,1),(27,1),(38,1)}
      32:{4}:{(25,1)}
      33:{3,5}:{(26,1),(37,1),(40,1),(59,1)}
      34:{2,5}:{(27,1),(38,1),(39,1)}
      35:{5}:{(28,1)}
      36:{4,6}:{(29,1),(32,1),(42,1)}
      37:{3,6}:{(30,1),(33,1)}
      38:{2,6}:{(31,1),(34,1)}
      39:{2,4}:{(32,1),(34,1),(46,1)}
      40:{3,4}:{(32,1),(33,1),(46,1),(47,1)}
      41:{1,3,5}:{(33,1),(45,1),(47,1),(54,1)}
      42:{4,5}:{(35,1),(36,1),(48,1),(49,1),(57,1)}
      43:{2,4,6}:{(36,1),(38,1),(39,1),(48,1),(50,1),(57,1)}
      44:{3,4,6}:{(36,1),(37,1),(40,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      45:{1,3,6}:{(37,1),(41,1),(51,1),(59,1)}
      46:{2,3}:{(39,1),(40,1),(52,1)}
      47:{1,4}:{(40,1),(41,1),(52,1)}
      48:{2,5}:{(42,1),(43,1)}
      49:{3,5}:{(42,1),(44,1),(54,1)}
      50:{2,3,6}:{(43,1),(44,1),(46,1),(53,1),(55,1)}
      51:{1,4,6}:{(44,1),(45,1),(47,1),(54,1),(55,1),(58,1)}
      52:{1,2}:{(46,1),(47,1)}
      53:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{1,2,6}:{(50,1),(51,1),(52,1),(56,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(53,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

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

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

116 :  0:{1,3,4}:{(2,1),(3,1),(15,1),(71,1)}
       1:{3,4,5}:{(4,1),(5,1),(6,1),(25,1),(45,1),(49,1),(62,1),(63,1)}
       2:{1,3,5}:{(0,1),(5,1),(8,1),(63,1)}
       3:{1,2,3}:{(0,1),(9,1),(76,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1),(12,1),(30,1),(33,1)}
       5:{1,4,5}:{(1,1),(2,1),(10,1),(13,1),(15,1),(39,1)}
       6:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(34,1),(54,1)}
       7:{1,2,3,5}:{(2,1),(3,1),(10,1),(15,1),(16,1),(18,1),(30,1),(36,1),(39,1),(52,1)}
       8:{1,3,6}:{(2,1),(13,1),(54,1)}
       9:{1,2,4}:{(3,1),(15,1),(17,1),(18,1),(70,1)}
      10:{1,2,5}:{(4,1),(5,1),(19,1),(20,1)}
      11:{2,4}:{(4,1),(62,1)}
      12:{2,3,6}:{(4,1),(6,1),(20,1),(21,1)}
      13:{1,4,6}:{(5,1),(6,1),(8,1),(20,1),(23,1)}
      14:{3,5,6}:{(6,1),(23,1),(24,1),(49,1)}
      15:{1,4}:{(7,1),(25,1),(62,1)}
      16:{1,2,3,6}:{(7,1),(8,1),(20,1),(27,1),(29,1),(42,1),(48,1)}
      17:{2,3,4}:{(9,1),(25,1),(28,1)}
      18:{1,2,5}:{(9,1),(26,1),(28,1),(29,1),(69,1)}
      19:{1,2,4}:{(10,1),(11,1),(15,1),(30,1)}
      20:{1,2,6}:{(10,1),(12,1),(13,1)}
      21:{2,4,6}:{(11,1),(12,1),(33,1),(34,1)}
      22:{2,3,5,6}:{(12,1),(14,1),(32,1),(33,1),(34,1),(35,1),(52,1),(54,1),(56,1),(57,1)}
      23:{1,5,6}:{(13,1),(14,1),(39,1)}
      24:{4,5,6}:{(14,1),(34,1),(35,1),(60,1)}
      25:{3,4}:{(15,1),(30,1),(36,1)}
      26:{1,4,5}:{(15,1),(18,1),(36,1),(38,1),(39,1),(40,1),(60,1)}
      27:{1,4,6}:{(15,1),(16,1),(37,1),(39,1)}
      28:{2,3,5}:{(17,1),(18,1),(36,1),(40,1),(41,1)}
      29:{1,2,6}:{(18,1),(38,1),(41,1),(75,1)}
      30:{2,3}:{(19,1),(25,1)}
      31:{1,2,4,6}:{(19,1),(20,1),(21,1),(27,1),(42,1),(43,1),(44,1),(62,1)}
      32:{1,2,5,6}:{(20,1),(22,1),(23,1),(43,1),(44,1),(66,1),(67,1)}
      33:{2,5}:{(21,1),(45,1)}
      34:{4,6}:{(22,1),(45,1),(62,1)}
      35:{2,5,6}:{(24,1),(46,1),(69,1)}
      36:{3,5}:{(25,1),(26,1),(48,1)}
      37:{3,4,6}:{(25,1),(27,1),(42,1),(48,1),(49,1),(62,1),(68,1)}
      38:{1,4,6}:{(26,1),(29,1),(48,1),(50,1),(51,1),(68,1)}
      39:{1,5}:{(27,1),(49,1)}
      40:{4,5}:{(28,1),(51,1)}
      41:{2,3,6}:{(28,1),(29,1),(48,1),(51,1)}
      42:{2,3,6}:{(30,1),(31,1),(37,1),(52,1),(54,1),(75,1)}
      43:{1,2,5}:{(31,1),(33,1),(39,1),(52,1),(53,1),(79,1)}
      44:{1,4,6}:{(32,1),(34,1),(53,1),(54,1)}
      45:{4,5}:{(33,1),(34,1),(56,1)}
      46:{2,4,6}:{(34,1),(35,1),(55,1),(57,1),(70,1)}
      47:{3,4,6}:{(34,1),(54,1),(56,1),(57,1),(58,1),(71,1),(74,1)}
      48:{3,6}:{(36,1),(38,1)}
      49:{3,5}:{(37,1),(39,1),(60,1)}
      50:{1,5,6}:{(38,1),(39,1),(59,1),(61,1)}
      51:{4,6}:{(40,1),(41,1),(61,1)}
      52:{2,3,5}:{(42,1),(43,1),(49,1),(62,1),(63,1),(69,1),(76,1)}
      53:{1,4,5}:{(43,1),(44,1),(45,1),(62,1),(63,1),(66,1),(77,1)}
      54:{3,6}:{(44,1),(63,1)}
      55:{2,4,5}:{(45,1),(46,1),(65,1)}
      56:{3,5}:{(45,1),(47,1),(66,1)}
      57:{2,3,6}:{(46,1),(47,1),(65,1),(67,1),(76,1)}
      58:{1,4,6}:{(47,1),(64,1),(66,1),(67,1),(77,1),(78,1)}
      59:{3,5,6}:{(48,1),(49,1),(50,1),(68,1)}
      60:{4,5}:{(49,1),(62,1),(68,1),(69,1)}
      61:{5,6}:{(51,1)}
      62:{4}:{(52,1)}
      63:{3,5}:{(53,1),(54,1),(71,1)}
      64:{1,3,6}:{(54,1),(58,1),(72,1),(80,1)}
      65:{2,3,5}:{(55,1),(56,1),(57,1),(73,1),(74,1)}
      66:{1,5}:{(56,1),(58,1)}
      67:{1,2,6}:{(57,1),(58,1),(73,1),(79,1)}
      68:{4,6}:{(59,1),(60,1),(75,1)}
      69:{2,5}:{(60,1),(70,1),(75,1)}
      70:{2,4}:{(62,1),(69,1),(76,1)}
      71:{3,4}:{(62,1),(63,1),(76,1),(77,1)}
      72:{1,3,5}:{(63,1),(64,1),(66,1),(77,1)}
      73:{1,2,5}:{(65,1),(66,1),(67,1),(78,1)}
      74:{3,4}:{(65,1),(78,1)}
      75:{2,6}:{(68,1),(69,1)}
      76:{2,3}:{(70,1),(71,1),(79,1)}
      77:{1,4}:{(71,1),(72,1),(79,1)}
      78:{1,4}:{(73,1),(74,1),(80,1)}
      79:{1,2}:{(76,1),(77,1)}
      80:{1,3}:{(78,1)}

117 :  0:{2,5,6}:{(1,1),(5,1),(62,1),(63,1)}
       1:{4,6}:{(0,1),(2,1),(4,1)}
       2:{4,5}:{(1,1),(5,1),(6,1),(17,1)}
       3:{2,4,6}:{(1,1),(5,1),(7,1),(17,1),(57,1),(58,1),(62,1)}
       4:{3,6}:{(1,1),(6,1),(8,1)}
       5:{2,5}:{(2,1),(3,1),(61,1)}
       6:{3,5}:{(2,1),(4,1),(9,1),(11,1)}
       7:{2,3,6}:{(3,1),(4,1),(10,1),(12,1),(13,1),(39,1),(54,1)}
       8:{1,6}:{(4,1),(11,1)}
       9:{3,4}:{(6,1),(14,1),(15,1),(17,1),(31,1)}
      10:{2,3,5}:{(5,1),(6,1),(7,1),(14,1),(16,1),(17,1),(19,1),(30,1),(31,1)}
      11:{1,5}:{(6,1),(8,1),(15,1)}
      12:{1,2,6}:{(7,1),(8,1),(16,1),(18,1),(49,1)}
      13:{3,4,6}:{(7,1),(17,1),(18,1),(19,1),(31,1),(33,1),(47,1),(48,1),(58,1)}
      14:{2,3}:{(9,1),(21,1),(22,1)}
      15:{1,4}:{(9,1),(11,1),(20,1),(21,1)}
      16:{1,2,5}:{(10,1),(11,1),(12,1),(21,1),(23,1),(26,1)}
      17:{4}:{(10,1)}
      18:{1,4,6}:{(12,1),(13,1),(23,1),(25,1),(26,1),(42,1)}
      19:{3,5}:{(13,1),(24,1),(26,1),(61,1)}
      20:{1,3}:{(15,1),(31,1)}
      21:{1,2}:{(14,1),(15,1)}
      22:{2,4}:{(14,1),(17,1),(30,1)}
      23:{1,4}:{(16,1),(17,1),(31,1)}
      24:{4,5}:{(17,1),(19,1),(30,1),(33,1)}
      25:{1,3,6}:{(18,1),(31,1),(34,1),(48,1)}
      26:{1,5}:{(18,1),(19,1)}
      27:{3,5,6}:{(19,1),(33,1),(35,1),(48,1)}
      28:{1,2,3}:{(20,1),(21,1),(36,1),(37,1)}
      29:{1,2,4}:{(21,1),(22,1),(23,1),(36,1),(37,1),(38,1),(52,1)}
      30:{2,5}:{(22,1),(24,1),(39,1)}
      31:{3}:{(23,1)}
      32:{1,4,5}:{(23,1),(24,1),(26,1),(38,1),(40,1),(41,1),(42,1),(52,1),(61,1)}
      33:{4,6}:{(24,1),(27,1),(39,1)}
      34:{1,3,5}:{(25,1),(26,1),(40,1),(42,1)}
      35:{1,5,6}:{(26,1),(27,1),(41,1),(61,1)}
      36:{1,4}:{(28,1),(43,1),(44,1)}
      37:{2,3}:{(29,1),(31,1),(43,1)}
      38:{1,2,5}:{(29,1),(30,1),(32,1),(44,1),(45,1),(46,1),(49,1)}
      39:{2,6}:{(30,1),(33,1)}
      40:{3,5}:{(31,1),(32,1),(47,1),(48,1)}
      41:{1,4,6}:{(32,1),(33,1),(35,1),(46,1),(48,1),(58,1)}
      42:{1,4}:{(34,1),(47,1),(49,1)}
      43:{3,4}:{(36,1),(37,1),(50,1),(52,1)}
      44:{1,5}:{(36,1),(50,1),(51,1)}
      45:{2,3,5}:{(37,1),(38,1),(40,1),(50,1),(52,1),(53,1),(54,1),(59,1),(61,1)}
      46:{1,2,6}:{(38,1),(39,1),(41,1),(51,1),(53,1)}
      47:{3,4}:{(40,1),(42,1),(52,1),(54,1)}
      48:{3,6}:{(40,1),(41,1)}
      49:{1,2}:{(42,1),(54,1)}
      50:{3,5}:{(43,1),(44,1),(55,1),(56,1)}
      51:{1,6}:{(44,1),(56,1)}
      52:{4}:{(45,1)}
      53:{2,3,6}:{(45,1),(46,1),(48,1),(56,1),(58,1),(62,1)}
      54:{2,3}:{(47,1),(49,1),(57,1)}
      55:{4,5}:{(50,1),(52,1),(59,1),(60,1),(61,1)}
      56:{3,6}:{(50,1),(51,1),(60,1)}
      57:{2,4}:{(52,1),(54,1),(59,1)}
      58:{4,6}:{(52,1),(53,1),(61,1)}
      59:{2,5}:{(55,1),(57,1),(62,1)}
      60:{4,6}:{(55,1),(56,1),(62,1),(63,1)}
      61:{5}:{(58,1)}
      62:{2,6}:{(59,1),(60,1)}
      63:{5,6}:{(60,1),(61,1)}

118 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(31,1),(37,1),(56,1),(58,1),(59,1)}
       1:{2,3,5}:{(0,1),(6,1),(7,1),(8,1),(23,1),(26,1)}
       2:{1,4,5}:{(0,1),(5,1),(6,1),(9,1),(21,1),(45,1)}
       3:{3,4,6}:{(0,1),(8,1),(9,1),(10,1),(27,1),(48,1)}
       4:{1,3,4}:{(5,1),(11,1),(21,1),(68,1)}
       5:{1,3,5}:{(2,1),(4,1),(13,1),(59,1)}
       6:{1,2,5}:{(1,1),(2,1),(14,1),(15,1)}
       7:{2,4}:{(1,1),(58,1)}
       8:{2,3,6}:{(1,1),(3,1),(15,1),(16,1)}
       9:{1,4,6}:{(2,1),(3,1),(13,1),(15,1),(18,1)}
      10:{3,5,6}:{(3,1),(18,1),(19,1),(56,1)}
      11:{1,2,3}:{(4,1),(20,1),(75,1)}
      12:{1,2,3,5}:{(5,1),(6,1),(11,1),(21,1),(22,1),(23,1),(30,1),(42,1),(45,1),(46,1)}
      13:{1,3,6}:{(5,1),(9,1),(48,1)}
      14:{1,2,4}:{(6,1),(7,1),(21,1),(23,1)}
      15:{1,2,6}:{(6,1),(8,1),(9,1)}
      16:{2,4,6}:{(7,1),(8,1),(26,1),(27,1)}
      17:{2,3,5,6}:{(8,1),(10,1),(25,1),(26,1),(27,1),(28,1),(46,1),(48,1),(50,1),(51,1)}
      18:{1,5,6}:{(9,1),(10,1),(45,1)}
      19:{4,5,6}:{(10,1),(27,1),(28,1),(66,1)}
      20:{1,2,4}:{(11,1),(21,1),(29,1),(30,1),(67,1)}
      21:{1,4}:{(12,1),(31,1),(58,1)}
      22:{1,2,3,6}:{(12,1),(13,1),(15,1),(33,1),(34,1),(41,1),(55,1)}
      23:{2,3}:{(14,1),(31,1)}
      24:{1,2,4,6}:{(14,1),(15,1),(16,1),(33,1),(34,1),(35,1),(36,1),(58,1)}
      25:{1,2,5,6}:{(15,1),(17,1),(18,1),(35,1),(36,1),(62,1),(63,1)}
      26:{2,5}:{(16,1),(37,1)}
      27:{4,6}:{(17,1),(37,1),(58,1)}
      28:{2,5,6}:{(19,1),(38,1),(74,1)}
      29:{2,3,4}:{(20,1),(31,1),(40,1)}
      30:{1,2,5}:{(20,1),(32,1),(40,1),(41,1),(74,1)}
      31:{3,4}:{(21,1),(23,1),(42,1)}
      32:{1,4,5}:{(21,1),(30,1),(42,1),(44,1),(45,1),(53,1),(66,1)}
      33:{1,4,6}:{(21,1),(22,1),(43,1),(45,1)}
      34:{2,3,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(78,1)}
      35:{1,2,5}:{(24,1),(26,1),(45,1),(46,1),(47,1),(79,1)}
      36:{1,4,6}:{(25,1),(27,1),(47,1),(48,1)}
      37:{4,5}:{(26,1),(27,1),(50,1)}
      38:{2,4,6}:{(27,1),(28,1),(49,1),(51,1),(67,1)}
      39:{3,4,6}:{(27,1),(48,1),(50,1),(51,1),(52,1),(68,1),(71,1)}
      40:{2,3,5}:{(29,1),(30,1),(42,1),(53,1),(54,1)}
      41:{1,2,6}:{(30,1),(44,1),(54,1),(78,1)}
      42:{3,5}:{(31,1),(32,1),(55,1)}
      43:{3,4,6}:{(31,1),(33,1),(34,1),(55,1),(56,1),(58,1),(73,1)}
      44:{1,4,6}:{(32,1),(41,1),(55,1),(57,1),(64,1),(73,1)}
      45:{1,5}:{(33,1),(56,1)}
      46:{2,3,5}:{(34,1),(35,1),(56,1),(58,1),(59,1),(74,1),(75,1)}
      47:{1,4,5}:{(35,1),(36,1),(37,1),(58,1),(59,1),(62,1),(76,1)}
      48:{3,6}:{(36,1),(59,1)}
      49:{2,4,5}:{(37,1),(38,1),(61,1)}
      50:{3,5}:{(37,1),(39,1),(62,1)}
      51:{2,3,6}:{(38,1),(39,1),(61,1),(63,1),(75,1)}
      52:{1,4,6}:{(39,1),(60,1),(62,1),(63,1),(76,1),(77,1)}
      53:{4,5}:{(40,1),(64,1)}
      54:{2,3,6}:{(40,1),(41,1),(55,1),(64,1)}
      55:{3,6}:{(42,1),(44,1)}
      56:{3,5}:{(43,1),(45,1),(66,1)}
      57:{1,5,6}:{(44,1),(45,1),(65,1),(72,1)}
      58:{4}:{(46,1)}
      59:{3,5}:{(47,1),(48,1),(68,1)}
      60:{1,3,6}:{(48,1),(52,1),(69,1),(80,1)}
      61:{2,3,5}:{(49,1),(50,1),(51,1),(70,1),(71,1)}
      62:{1,5}:{(50,1),(52,1)}
      63:{1,2,6}:{(51,1),(52,1),(70,1),(79,1)}
      64:{4,6}:{(53,1),(54,1),(72,1)}
      65:{3,5,6}:{(55,1),(56,1),(57,1),(73,1)}
      66:{4,5}:{(56,1),(58,1),(73,1),(74,1)}
      67:{2,4}:{(58,1),(74,1),(75,1)}
      68:{3,4}:{(58,1),(59,1),(75,1),(76,1)}
      69:{1,3,5}:{(59,1),(60,1),(62,1),(76,1)}
      70:{1,2,5}:{(61,1),(62,1),(63,1),(77,1)}
      71:{3,4}:{(61,1),(77,1)}
      72:{5,6}:{(64,1)}
      73:{4,6}:{(65,1),(66,1),(78,1)}
      74:{2,5}:{(66,1),(67,1),(78,1)}
      75:{2,3}:{(67,1),(68,1),(79,1)}
      76:{1,4}:{(68,1),(69,1),(79,1)}
      77:{1,4}:{(70,1),(71,1),(80,1)}
      78:{2,6}:{(73,1),(74,1)}
      79:{1,2}:{(75,1),(76,1)}
      80:{1,3}:{(77,1)}

119 :  0:{1,2,4,6}:{(2,1),(3,1),(5,1),(12,1),(15,1),(18,1),(34,1),(42,1),(51,1),(54,1),(58,1)}
       1:{1,2,5,6}:{(3,1),(4,1),(5,1),(32,1),(41,1),(42,1),(51,1)}
       2:{2,3,6}:{(0,1),(7,1),(8,1),(11,1),(46,1),(47,1),(57,1)}
       3:{1,2,5}:{(0,1),(8,1),(9,1),(21,1),(28,1),(48,1),(59,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(23,1),(28,1),(29,1),(30,1),(47,1),(55,1),(59,1)}
       5:{1,4,6}:{(1,1),(9,1),(10,1),(11,1)}
       6:{1,2,3,6}:{(2,1),(12,1),(13,1),(20,1),(42,1),(51,1),(52,1)}
       7:{3,4,6}:{(2,1),(12,1),(14,1),(15,1),(35,1),(36,1),(52,1),(58,1)}
       8:{2,3,5}:{(2,1),(3,1),(14,1),(15,1),(16,1),(37,1),(38,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(16,1),(17,1),(39,1),(41,1),(54,1)}
      10:{4,6}:{(4,1),(15,1),(17,1)}
      11:{3,6}:{(5,1),(16,1)}
      12:{1,4,6}:{(6,1),(7,1),(21,1),(22,1)}
      13:{1,2,3,5}:{(6,1),(8,1),(21,1),(22,1),(27,1),(44,1),(45,1),(46,1),(48,1),(49,1),(57,1)}
      14:{3,5}:{(7,1),(21,1),(24,1),(59,1)}
      15:{4}:{(8,1)}
      16:{3,5}:{(9,1),(11,1),(26,1),(57,1)}
      17:{4,5}:{(10,1),(28,1),(29,1),(50,1),(59,1)}
      18:{2,4,6}:{(10,1),(25,1),(28,1),(30,1),(47,1),(50,1)}
      19:{3,4,6}:{(10,1),(11,1),(26,1),(29,1),(30,1),(31,1),(50,1),(57,1)}
      20:{1,3,6}:{(11,1),(27,1),(31,1),(57,1)}
      21:{1,5}:{(12,1),(14,1)}
      22:{1,4}:{(13,1),(15,1),(35,1)}
      23:{3,5,6}:{(14,1),(32,1),(36,1),(52,1)}
      24:{4,5}:{(14,1),(15,1),(36,1),(37,1)}
      25:{2,4}:{(15,1),(37,1),(38,1)}
      26:{3,4}:{(15,1),(16,1),(38,1),(39,1)}
      27:{1,3,5}:{(16,1),(20,1),(39,1),(41,1)}
      28:{2,5}:{(17,1),(18,1)}
      29:{3,5}:{(17,1),(19,1),(41,1)}
      30:{2,3,6}:{(18,1),(19,1),(38,1),(40,1),(42,1)}
      31:{1,4,6}:{(19,1),(20,1),(39,1),(41,1),(42,1),(54,1)}
      32:{1,5,6}:{(21,1),(23,1),(43,1),(59,1)}
      33:{1,4,5}:{(21,1),(22,1),(24,1),(43,1),(44,1),(45,1),(56,1),(59,1)}
      34:{1,2,4}:{(22,1),(25,1),(44,1),(46,1),(48,1),(56,1)}
      35:{3,4}:{(22,1),(45,1),(46,1),(56,1),(57,1)}
      36:{4,6}:{(23,1),(24,1),(47,1)}
      37:{2,5}:{(24,1),(25,1),(47,1)}
      38:{2,3}:{(25,1),(26,1),(48,1)}
      39:{1,4}:{(26,1),(27,1),(48,1)}
      40:{2,3,5}:{(28,1),(29,1),(30,1),(49,1),(50,1),(57,1)}
      41:{1,5}:{(29,1),(31,1)}
      42:{1,2,6}:{(30,1),(31,1),(48,1),(49,1)}
      43:{1,4,6}:{(32,1),(33,1),(36,1),(51,1),(52,1),(58,1)}
      44:{1,2,5}:{(33,1),(34,1),(37,1),(51,1),(53,1)}
      45:{3,5}:{(33,1),(35,1),(52,1)}
      46:{2,3}:{(34,1),(35,1)}
      47:{2,6}:{(36,1),(37,1)}
      48:{1,2}:{(38,1),(39,1)}
      49:{1,2,5}:{(40,1),(41,1),(42,1),(54,1)}
      50:{4}:{(40,1)}
      51:{1,2,6}:{(43,1),(44,1),(47,1),(55,1)}
      52:{3,6}:{(43,1),(45,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(55,1),(56,1),(59,1)}
      54:{1,4}:{(49,1),(50,1),(57,1)}
      55:{2,3,6}:{(51,1),(52,1),(53,1),(58,1)}
      56:{4}:{(53,1)}
      57:{3}:{(54,1)}
      58:{4,6}:{(55,1),(56,1),(59,1)}
      59:{5}:{(58,1)}

120 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

121 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(8,1),(10,1),(13,1),(23,1),(40,1),(52,1),(56,1),(59,1)}
       1:{1,4}:{(0,1),(4,1),(30,1)}
       2:{1,2,3,6}:{(0,1),(6,1),(15,1),(16,1),(18,1),(47,1),(55,1)}
       3:{1,2,4}:{(1,1),(7,1),(8,1),(21,1),(37,1),(52,1)}
       4:{3,4}:{(1,1),(7,1),(10,1),(21,1),(59,1)}
       5:{1,4,5}:{(1,1),(8,1),(10,1),(12,1),(13,1),(21,1),(27,1),(35,1)}
       6:{1,4,6}:{(1,1),(2,1),(11,1),(13,1)}
       7:{2,3}:{(3,1),(4,1)}
       8:{1,2,5}:{(3,1),(5,1),(14,1),(16,1),(34,1)}
       9:{1,2,4,6}:{(3,1),(6,1),(15,1),(16,1),(17,1),(28,1),(30,1),(31,1),(43,1),(55,1),(58,1)}
      10:{3,5}:{(4,1),(5,1),(18,1)}
      11:{3,4,6}:{(4,1),(6,1),(15,1),(18,1),(19,1),(28,1),(30,1),(33,1)}
      12:{1,4,6}:{(5,1),(16,1),(18,1),(20,1),(28,1),(33,1)}
      13:{1,5}:{(6,1),(19,1)}
      14:{2,3,5}:{(7,1),(8,1),(10,1),(21,1),(22,1),(35,1)}
      15:{2,3,6}:{(7,1),(9,1),(11,1),(23,1),(39,1),(41,1),(59,1)}
      16:{1,2,6}:{(8,1),(12,1),(22,1),(41,1)}
      17:{1,2,5}:{(9,1),(13,1),(23,1),(25,1),(35,1),(48,1),(52,1)}
      18:{3,6}:{(10,1),(12,1)}
      19:{3,5}:{(11,1),(13,1),(27,1),(35,1)}
      20:{1,5,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{4}:{(14,1)}
      22:{2,3,6}:{(14,1),(16,1),(18,1),(28,1)}
      23:{2,3,5}:{(15,1),(17,1),(19,1),(30,1),(32,1),(34,1),(45,1)}
      24:{1,2,5,6}:{(16,1),(17,1),(20,1),(29,1),(31,1),(54,1),(55,1)}
      25:{1,4,5}:{(17,1),(30,1),(31,1),(32,1),(42,1),(46,1),(54,1),(58,1)}
      26:{3,5,6}:{(18,1),(19,1),(20,1),(33,1)}
      27:{4,5}:{(19,1),(30,1),(33,1),(34,1)}
      28:{4,6}:{(21,1),(22,1),(35,1)}
      29:{2,3,5,6}:{(22,1),(23,1),(24,1),(26,1),(35,1),(36,1),(39,1),(41,1),(48,1),(49,1),(50,1)}
      30:{4}:{(23,1)}
      31:{1,4,6}:{(24,1),(25,1),(36,1),(39,1)}
      32:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      33:{4,6}:{(26,1),(27,1),(41,1)}
      34:{2,5}:{(27,1),(37,1),(41,1)}
      35:{5}:{(28,1)}
      36:{4,6}:{(29,1),(30,1),(42,1)}
      37:{2,4}:{(30,1),(34,1),(45,1)}
      38:{3,4}:{(30,1),(32,1),(45,1),(46,1)}
      39:{3,6}:{(31,1),(32,1)}
      40:{1,3,5}:{(32,1),(46,1),(47,1),(54,1)}
      41:{2,6}:{(33,1),(34,1)}
      42:{4,5}:{(35,1),(36,1),(48,1),(49,1),(57,1)}
      43:{2,4,6}:{(36,1),(37,1),(41,1),(48,1),(50,1),(57,1)}
      44:{3,4,6}:{(36,1),(38,1),(39,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      45:{2,3}:{(37,1),(38,1),(52,1)}
      46:{1,4}:{(38,1),(40,1),(52,1)}
      47:{1,3,6}:{(39,1),(40,1),(51,1),(59,1)}
      48:{2,5}:{(42,1),(43,1)}
      49:{3,5}:{(42,1),(44,1),(54,1)}
      50:{2,3,6}:{(43,1),(44,1),(45,1),(53,1),(55,1)}
      51:{1,4,6}:{(44,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      52:{1,2}:{(45,1),(46,1)}
      53:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{1,2,6}:{(50,1),(51,1),(52,1),(56,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(53,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

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

123 :  0:{1,2,3,6}:{(1,1),(2,1),(7,1),(29,1),(30,1),(45,1),(55,1)}
       1:{1,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(14,1),(20,1),(21,1),(22,1),(36,1),(51,1),(56,1),(59,1)}
       3:{1,2,4,6}:{(1,1),(7,1),(8,1),(12,1),(24,1),(25,1),(29,1),(41,1),(46,1),(55,1),(58,1)}
       4:{3,4,6}:{(1,1),(7,1),(9,1),(13,1),(24,1),(27,1),(30,1),(46,1)}
       5:{1,5}:{(1,1),(9,1)}
       6:{1,4}:{(2,1),(13,1),(24,1)}
       7:{2,3,6}:{(3,1),(4,1),(14,1),(22,1),(35,1),(37,1),(59,1)}
       8:{1,2,5}:{(3,1),(5,1),(14,1),(16,1),(47,1),(51,1),(52,1)}
       9:{3,5}:{(4,1),(5,1),(18,1),(52,1)}
      10:{1,5,6}:{(5,1),(17,1),(19,1),(52,1)}
      11:{1,4,5}:{(5,1),(6,1),(18,1),(19,1),(20,1),(21,1),(39,1),(52,1)}
      12:{1,2,4}:{(6,1),(20,1),(22,1),(33,1),(39,1),(51,1)}
      13:{3,4}:{(6,1),(21,1),(22,1),(39,1),(59,1)}
      14:{2,3,5}:{(7,1),(8,1),(9,1),(24,1),(26,1),(28,1),(43,1)}
      15:{1,2,5,6}:{(8,1),(10,1),(23,1),(25,1),(29,1),(54,1),(55,1)}
      16:{1,4,5}:{(8,1),(24,1),(25,1),(26,1),(40,1),(44,1),(54,1),(58,1)}
      17:{3,5,6}:{(9,1),(10,1),(27,1),(30,1)}
      18:{4,5}:{(9,1),(24,1),(27,1),(28,1)}
      19:{1,4,6}:{(10,1),(11,1),(27,1),(29,1),(30,1),(46,1)}
      20:{1,2,5}:{(11,1),(12,1),(28,1),(29,1),(31,1)}
      21:{3,5}:{(11,1),(13,1),(30,1)}
      22:{2,3}:{(12,1),(13,1)}
      23:{2,3,5,6}:{(14,1),(15,1),(17,1),(32,1),(35,1),(37,1),(38,1),(47,1),(48,1),(49,1),(52,1)}
      24:{4}:{(14,1)}
      25:{1,4,6}:{(15,1),(16,1),(32,1),(35,1)}
      26:{3,5}:{(16,1),(34,1),(35,1),(59,1)}
      27:{4,6}:{(17,1),(18,1),(37,1)}
      28:{2,5}:{(18,1),(33,1),(37,1)}
      29:{1,2,6}:{(19,1),(20,1),(37,1),(38,1)}
      30:{3,6}:{(19,1),(21,1)}
      31:{2,3,5}:{(20,1),(21,1),(22,1),(38,1),(39,1),(52,1)}
      32:{4,6}:{(23,1),(24,1),(40,1)}
      33:{2,4}:{(24,1),(28,1),(43,1)}
      34:{3,4}:{(24,1),(26,1),(43,1),(44,1)}
      35:{3,6}:{(25,1),(26,1)}
      36:{1,3,5}:{(26,1),(44,1),(45,1),(54,1)}
      37:{2,6}:{(27,1),(28,1)}
      38:{2,3,6}:{(29,1),(30,1),(31,1),(46,1)}
      39:{4}:{(31,1)}
      40:{4,5}:{(32,1),(47,1),(48,1),(52,1),(57,1)}
      41:{2,4,6}:{(32,1),(33,1),(37,1),(47,1),(49,1),(57,1)}
      42:{3,4,6}:{(32,1),(34,1),(35,1),(48,1),(49,1),(50,1),(57,1),(59,1)}
      43:{2,3}:{(33,1),(34,1),(51,1)}
      44:{1,4}:{(34,1),(36,1),(51,1)}
      45:{1,3,6}:{(35,1),(36,1),(50,1),(59,1)}
      46:{4,6}:{(38,1),(39,1),(52,1)}
      47:{2,5}:{(40,1),(41,1)}
      48:{3,5}:{(40,1),(42,1),(54,1)}
      49:{2,3,6}:{(41,1),(42,1),(43,1),(53,1),(55,1)}
      50:{1,4,6}:{(42,1),(44,1),(45,1),(54,1),(55,1),(58,1)}
      51:{1,2}:{(43,1),(44,1)}
      52:{5}:{(46,1)}
      53:{2,3,5}:{(47,1),(48,1),(49,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(48,1),(50,1)}
      55:{1,2,6}:{(49,1),(50,1),(51,1),(56,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(53,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

124 :  0:{1,2,3}:{(1,1),(5,1),(62,1),(63,1)}
       1:{1,4}:{(0,1),(3,1),(4,1)}
       2:{1,2,4}:{(1,1),(5,1),(6,1),(16,1),(55,1),(56,1),(63,1)}
       3:{3,4}:{(1,1),(5,1),(7,1),(16,1)}
       4:{1,5}:{(1,1),(7,1),(8,1)}
       5:{2,3}:{(2,1),(3,1),(59,1)}
       6:{1,2,5}:{(2,1),(4,1),(9,1),(10,1),(11,1),(36,1),(51,1)}
       7:{3,5}:{(3,1),(4,1),(12,1),(13,1)}
       8:{1,6}:{(4,1),(13,1)}
       9:{1,4,5}:{(6,1),(14,1),(15,1),(16,1),(28,1),(34,1),(44,1),(46,1),(55,1)}
      10:{2,3,5}:{(5,1),(6,1),(7,1),(14,1),(16,1),(17,1),(18,1),(31,1),(34,1)}
      11:{1,2,6}:{(6,1),(8,1),(15,1),(17,1),(45,1)}
      12:{4,5}:{(7,1),(16,1),(18,1),(19,1),(34,1)}
      13:{3,6}:{(7,1),(8,1),(19,1)}
      14:{3,5}:{(9,1),(22,1),(23,1),(59,1)}
      15:{1,4,6}:{(9,1),(11,1),(21,1),(23,1),(25,1),(38,1)}
      16:{4}:{(10,1)}
      17:{2,3,6}:{(10,1),(11,1),(13,1),(23,1),(25,1),(26,1)}
      18:{2,5}:{(12,1),(24,1),(26,1)}
      19:{4,6}:{(12,1),(13,1),(26,1),(27,1)}
      20:{1,3,5}:{(14,1),(28,1),(29,1),(44,1)}
      21:{1,5,6}:{(15,1),(30,1),(34,1),(44,1)}
      22:{3,4}:{(14,1),(16,1),(28,1),(31,1)}
      23:{3,6}:{(14,1),(15,1)}
      24:{2,4}:{(16,1),(18,1),(31,1)}
      25:{4,6}:{(16,1),(17,1),(34,1)}
      26:{2,6}:{(18,1),(19,1)}
      27:{5,6}:{(19,1),(34,1)}
      28:{1,4}:{(20,1),(22,1),(36,1)}
      29:{1,3,6}:{(20,1),(23,1),(37,1),(59,1)}
      30:{3,5,6}:{(21,1),(23,1),(38,1),(40,1)}
      31:{2,3}:{(22,1),(24,1),(36,1)}
      32:{3,4,6}:{(22,1),(23,1),(25,1),(37,1),(38,1),(39,1),(40,1),(52,1),(59,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(39,1),(41,1),(42,1),(52,1)}
      34:{5}:{(25,1)}
      35:{2,5,6}:{(26,1),(27,1),(41,1),(42,1)}
      36:{1,2}:{(28,1),(31,1)}
      37:{1,4,6}:{(28,1),(29,1),(32,1),(43,1),(44,1),(55,1)}
      38:{4,6}:{(30,1),(45,1),(46,1)}
      39:{2,3,6}:{(31,1),(32,1),(33,1),(43,1),(45,1),(47,1),(49,1)}
      40:{3,5}:{(32,1),(34,1),(44,1),(46,1)}
      41:{2,5}:{(33,1),(34,1),(48,1)}
      42:{4,6}:{(35,1),(48,1),(49,1)}
      43:{1,2,6}:{(36,1),(37,1),(39,1),(50,1),(54,1)}
      44:{1,5}:{(37,1),(40,1)}
      45:{2,6}:{(38,1),(51,1)}
      46:{4,5}:{(38,1),(40,1),(51,1),(52,1)}
      47:{2,3,5}:{(39,1),(40,1),(41,1),(50,1),(51,1),(52,1),(53,1),(59,1),(60,1)}
      48:{4,5}:{(41,1),(42,1),(52,1),(53,1)}
      49:{3,6}:{(42,1),(53,1),(54,1)}
      50:{1,2,5}:{(43,1),(44,1),(47,1),(55,1),(58,1),(63,1)}
      51:{2,5}:{(45,1),(46,1),(56,1)}
      52:{4}:{(47,1)}
      53:{3,5}:{(48,1),(49,1),(57,1),(58,1)}
      54:{1,6}:{(49,1),(58,1)}
      55:{1,4}:{(50,1),(52,1),(59,1)}
      56:{2,4}:{(51,1),(52,1),(60,1)}
      57:{3,4}:{(52,1),(53,1),(59,1),(60,1),(61,1)}
      58:{1,5}:{(53,1),(54,1),(61,1)}
      59:{3}:{(55,1)}
      60:{2,3}:{(56,1),(57,1),(63,1)}
      61:{1,4}:{(57,1),(58,1),(62,1),(63,1)}
      62:{1,3}:{(59,1),(61,1)}
      63:{1,2}:{(60,1),(61,1)}

125 :  0:{1,3,5}:{(2,1),(3,1),(5,1),(18,1)}
       1:{1,4,5}:{(2,1),(4,1),(5,1),(6,1),(18,1),(20,1),(35,1),(36,1),(40,1)}
       2:{1,4}:{(0,1),(7,1),(8,1)}
       3:{1,3,6}:{(0,1),(9,1),(13,1),(45,1)}
       4:{1,2,5}:{(1,1),(7,1),(10,1),(11,1),(12,1),(46,1),(47,1)}
       5:{3,5}:{(1,1),(8,1),(13,1),(45,1)}
       6:{1,4,6}:{(1,1),(12,1),(13,1),(14,1),(30,1),(31,1)}
       7:{1,2}:{(2,1),(15,1)}
       8:{3,4}:{(2,1),(5,1),(15,1),(20,1)}
       9:{1,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(35,1)}
      10:{1,2,4}:{(4,1),(19,1),(20,1),(35,1),(37,1),(52,1),(62,1)}
      11:{2,3,5}:{(4,1),(5,1),(15,1),(19,1),(20,1),(21,1),(32,1),(38,1),(40,1)}
      12:{1,2,6}:{(4,1),(6,1),(21,1),(41,1),(55,1)}
      13:{3,6}:{(5,1),(6,1)}
      14:{1,5,6}:{(6,1),(18,1),(22,1),(40,1)}
      15:{2,3}:{(7,1),(8,1),(23,1)}
      16:{1,2,6}:{(7,1),(9,1),(24,1),(25,1),(63,1)}
      17:{3,4,6}:{(8,1),(9,1),(13,1),(24,1),(26,1),(30,1),(31,1),(44,1),(45,1)}
      18:{1,5}:{(9,1),(26,1)}
      19:{2,3}:{(10,1),(28,1),(45,1)}
      20:{4}:{(11,1)}
      21:{2,3,6}:{(11,1),(12,1),(13,1),(30,1),(42,1),(48,1)}
      22:{3,5,6}:{(13,1),(14,1),(26,1),(31,1)}
      23:{2,4}:{(15,1),(20,1),(32,1)}
      24:{2,3,6}:{(15,1),(16,1),(17,1),(33,1),(34,1),(41,1),(60,1)}
      25:{1,2,5}:{(16,1),(18,1),(34,1),(35,1),(61,1),(62,1)}
      26:{3,5}:{(17,1),(18,1),(36,1),(40,1)}
      27:{1,2,3}:{(19,1),(37,1),(54,1),(62,1)}
      28:{3,4}:{(19,1),(20,1),(37,1),(38,1)}
      29:{4,5}:{(20,1),(32,1),(38,1),(39,1),(40,1)}
      30:{4,6}:{(20,1),(21,1),(40,1)}
      31:{4,6}:{(22,1),(36,1),(41,1)}
      32:{2,5}:{(23,1),(29,1),(42,1)}
      33:{2,4,6}:{(23,1),(24,1),(30,1),(42,1),(43,1),(44,1),(56,1)}
      34:{2,3,5}:{(24,1),(25,1),(26,1),(43,1),(44,1),(45,1),(46,1),(57,1),(58,1)}
      35:{1,4}:{(25,1),(44,1),(45,1)}
      36:{4,5}:{(26,1),(31,1),(44,1),(46,1)}
      37:{1,4}:{(27,1),(28,1),(47,1)}
      38:{3,5}:{(28,1),(29,1),(47,1),(48,1)}
      39:{4,6}:{(29,1),(42,1),(48,1),(49,1)}
      40:{5}:{(30,1)}
      41:{2,6}:{(31,1),(46,1)}
      42:{2,6}:{(32,1),(39,1)}
      43:{2,5}:{(33,1),(40,1),(51,1)}
      44:{4}:{(34,1)}
      45:{3}:{(35,1)}
      46:{2,5}:{(36,1),(41,1),(52,1)}
      47:{1,5}:{(37,1),(38,1),(55,1)}
      48:{3,6}:{(38,1),(39,1),(55,1)}
      49:{5,6}:{(39,1),(40,1)}
      50:{2,5,6}:{(42,1),(43,1),(49,1),(56,1)}
      51:{4,5}:{(43,1),(44,1),(56,1),(57,1)}
      52:{2,4}:{(44,1),(46,1),(58,1)}
      53:{3,4}:{(44,1),(45,1),(57,1),(58,1),(59,1)}
      54:{1,3}:{(45,1),(59,1)}
      55:{1,6}:{(47,1),(48,1)}
      56:{4,6}:{(50,1),(51,1),(60,1)}
      57:{3,5}:{(51,1),(53,1),(60,1),(61,1)}
      58:{2,3}:{(52,1),(53,1),(62,1)}
      59:{1,4}:{(53,1),(54,1),(61,1),(62,1)}
      60:{3,6}:{(56,1),(57,1),(63,1)}
      61:{1,5}:{(57,1),(59,1),(63,1)}
      62:{1,2}:{(58,1),(59,1)}
      63:{1,6}:{(60,1),(61,1)}

126 :  0:{1,5,6}:{(3,1),(4,1),(38,1),(42,1)}
       1:{1,4,5}:{(4,1),(5,1),(6,1),(16,1),(20,1),(23,1),(38,1),(42,1),(53,1)}
       2:{1,2,4}:{(5,1),(7,1),(23,1),(24,1),(36,1),(51,1),(53,1)}
       3:{3,5,6}:{(0,1),(8,1),(11,1),(27,1)}
       4:{1,4,6}:{(0,1),(1,1),(8,1),(10,1),(11,1),(32,1)}
       5:{1,2,5}:{(1,1),(2,1),(10,1),(12,1),(26,1),(30,1),(34,1)}
       6:{3,5}:{(1,1),(9,1),(11,1),(58,1)}
       7:{2,3}:{(2,1),(15,1),(58,1)}
       8:{4,6}:{(3,1),(16,1),(17,1)}
       9:{3,4}:{(6,1),(19,1),(20,1),(23,1)}
      10:{1,2,6}:{(4,1),(5,1),(17,1),(21,1),(44,1)}
      11:{3,6}:{(4,1),(6,1)}
      12:{2,3,5}:{(5,1),(6,1),(7,1),(19,1),(21,1),(23,1),(25,1),(41,1),(42,1)}
      13:{1,3,5}:{(6,1),(20,1),(22,1),(38,1)}
      14:{1,2,3}:{(7,1),(24,1),(51,1),(60,1)}
      15:{3,4}:{(7,1),(23,1),(24,1),(25,1)}
      16:{4,5}:{(8,1),(26,1),(27,1),(47,1)}
      17:{2,6}:{(8,1),(26,1)}
      18:{3,4,6}:{(8,1),(9,1),(11,1),(27,1),(28,1),(29,1),(32,1),(47,1),(58,1)}
      19:{2,3}:{(9,1),(30,1),(31,1)}
      20:{1,4}:{(9,1),(13,1),(30,1)}
      21:{2,3,6}:{(10,1),(11,1),(12,1),(32,1),(35,1),(49,1)}
      22:{1,3,6}:{(11,1),(13,1),(29,1),(58,1)}
      23:{4}:{(12,1)}
      24:{1,4}:{(14,1),(15,1),(34,1)}
      25:{3,5}:{(15,1),(33,1),(34,1),(35,1)}
      26:{2,5}:{(16,1),(17,1),(36,1)}
      27:{3,5}:{(16,1),(18,1),(38,1),(42,1)}
      28:{2,3,6}:{(17,1),(18,1),(19,1),(37,1),(39,1),(40,1),(62,1)}
      29:{1,4,6}:{(18,1),(20,1),(22,1),(38,1),(39,1),(53,1)}
      30:{1,2}:{(19,1),(20,1)}
      31:{2,4}:{(19,1),(23,1),(41,1)}
      32:{4,6}:{(21,1),(23,1),(42,1)}
      33:{4,5}:{(23,1),(25,1),(41,1),(42,1),(43,1)}
      34:{1,5}:{(24,1),(25,1),(44,1)}
      35:{3,6}:{(25,1),(43,1),(44,1)}
      36:{2,4}:{(26,1),(45,1),(47,1)}
      37:{2,3,5}:{(26,1),(27,1),(28,1),(45,1),(46,1),(47,1),(48,1),(57,1),(58,1)}
      38:{1,5}:{(27,1),(29,1)}
      39:{1,2,6}:{(28,1),(29,1),(30,1),(46,1),(63,1)}
      40:{2,4,6}:{(28,1),(31,1),(32,1),(47,1),(48,1),(49,1),(59,1)}
      41:{2,5}:{(31,1),(33,1),(49,1)}
      42:{5}:{(32,1)}
      43:{4,6}:{(33,1),(35,1),(49,1),(50,1)}
      44:{1,6}:{(34,1),(35,1)}
      45:{2,3}:{(36,1),(51,1),(52,1)}
      46:{1,2,5}:{(37,1),(38,1),(39,1),(51,1),(53,1),(61,1)}
      47:{4}:{(37,1)}
      48:{2,5}:{(40,1),(42,1),(54,1)}
      49:{2,6}:{(41,1),(43,1)}
      50:{5,6}:{(42,1),(43,1)}
      51:{1,2}:{(45,1),(56,1)}
      52:{3,4}:{(45,1),(47,1),(56,1),(57,1),(58,1)}
      53:{1,4}:{(46,1),(47,1),(58,1)}
      54:{4,5}:{(47,1),(48,1),(57,1),(59,1)}
      55:{2,5,6}:{(48,1),(49,1),(50,1),(59,1)}
      56:{1,4}:{(51,1),(52,1),(60,1),(61,1)}
      57:{3,5}:{(52,1),(54,1),(61,1),(62,1)}
      58:{3}:{(53,1)}
      59:{4,6}:{(54,1),(55,1),(62,1)}
      60:{1,3}:{(56,1),(58,1)}
      61:{1,5}:{(56,1),(57,1),(63,1)}
      62:{3,6}:{(57,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

127 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(13,1),(25,1),(30,1),(48,1),(49,1),(56,1),(57,1)}
       1:{2,3,6}:{(0,1),(5,1),(6,1),(16,1),(43,1),(44,1),(58,1)}
       2:{1,2,5}:{(0,1),(6,1),(7,1),(17,1),(36,1),(45,1),(59,1)}
       3:{1,2,5,6}:{(2,1),(8,1),(9,1),(28,1),(47,1),(48,1),(49,1)}
       4:{1,2,3,6}:{(1,1),(10,1),(11,1),(27,1),(48,1),(49,1),(50,1)}
       5:{3,4,6}:{(1,1),(10,1),(12,1),(13,1),(31,1),(32,1),(50,1),(57,1)}
       6:{2,3,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(33,1),(34,1)}
       7:{1,4,5}:{(2,1),(9,1),(13,1),(14,1),(24,1),(35,1),(47,1),(56,1)}
       8:{2,3,5,6}:{(3,1),(6,1),(15,1),(16,1),(19,1),(36,1),(37,1),(38,1),(44,1),(54,1),(59,1)}
       9:{1,4,6}:{(3,1),(7,1),(15,1),(16,1)}
      10:{1,4,6}:{(4,1),(5,1),(17,1),(18,1)}
      11:{1,2,3,5}:{(4,1),(6,1),(17,1),(18,1),(23,1),(41,1),(42,1),(43,1),(45,1),(52,1),(58,1)}
      12:{3,5}:{(5,1),(17,1),(20,1),(59,1)}
      13:{4}:{(6,1)}
      14:{3,5}:{(7,1),(16,1),(22,1),(58,1)}
      15:{4,6}:{(8,1),(13,1),(24,1)}
      16:{3,6}:{(9,1),(14,1)}
      17:{1,5}:{(10,1),(12,1)}
      18:{1,4}:{(11,1),(13,1),(31,1)}
      19:{3,5,6}:{(12,1),(28,1),(32,1),(50,1)}
      20:{4,5}:{(12,1),(13,1),(32,1),(33,1)}
      21:{2,4}:{(13,1),(33,1),(34,1)}
      22:{3,4}:{(13,1),(14,1),(34,1),(35,1)}
      23:{1,3,5}:{(14,1),(27,1),(35,1),(47,1)}
      24:{4,5}:{(15,1),(36,1),(37,1),(53,1),(59,1)}
      25:{2,4,6}:{(15,1),(21,1),(36,1),(38,1),(44,1),(53,1)}
      26:{3,4,6}:{(15,1),(16,1),(22,1),(37,1),(38,1),(39,1),(53,1),(58,1)}
      27:{1,3,6}:{(16,1),(23,1),(39,1),(58,1)}
      28:{1,5,6}:{(17,1),(19,1),(40,1),(59,1)}
      29:{1,4,5}:{(17,1),(18,1),(20,1),(40,1),(41,1),(42,1),(55,1),(59,1)}
      30:{1,2,4}:{(18,1),(21,1),(41,1),(43,1),(45,1),(55,1)}
      31:{3,4}:{(18,1),(42,1),(43,1),(55,1),(58,1)}
      32:{4,6}:{(19,1),(20,1),(44,1)}
      33:{2,5}:{(20,1),(21,1),(44,1)}
      34:{2,3}:{(21,1),(22,1),(45,1)}
      35:{1,4}:{(22,1),(23,1),(45,1)}
      36:{2,5}:{(24,1),(25,1)}
      37:{3,5}:{(24,1),(26,1),(47,1)}
      38:{2,3,6}:{(25,1),(26,1),(34,1),(46,1),(48,1)}
      39:{1,4,6}:{(26,1),(27,1),(35,1),(47,1),(48,1),(56,1)}
      40:{1,4,6}:{(28,1),(29,1),(32,1),(49,1),(50,1),(57,1)}
      41:{1,2,5}:{(29,1),(30,1),(33,1),(49,1),(51,1)}
      42:{3,5}:{(29,1),(31,1),(50,1)}
      43:{2,3}:{(30,1),(31,1)}
      44:{2,6}:{(32,1),(33,1)}
      45:{1,2}:{(34,1),(35,1)}
      46:{2,3,5}:{(36,1),(37,1),(38,1),(52,1),(53,1),(58,1)}
      47:{1,5}:{(37,1),(39,1)}
      48:{1,2,6}:{(38,1),(39,1),(45,1),(52,1)}
      49:{1,2,6}:{(40,1),(41,1),(44,1),(54,1)}
      50:{3,6}:{(40,1),(42,1)}
      51:{2,3,5}:{(41,1),(42,1),(43,1),(54,1),(55,1),(59,1)}
      52:{1,2,5}:{(46,1),(47,1),(48,1),(56,1)}
      53:{4}:{(46,1)}
      54:{2,3,6}:{(49,1),(50,1),(51,1),(57,1)}
      55:{4}:{(51,1)}
      56:{1,4}:{(52,1),(53,1),(58,1)}
      57:{4,6}:{(54,1),(55,1),(59,1)}
      58:{3}:{(56,1)}
      59:{5}:{(57,1)}

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

129 :  0:{2,4,5}:{(1,1),(2,1),(21,1)}
       1:{2,3,5}:{(0,1),(3,1),(4,1),(5,1),(15,1)}
       2:{2,4,6}:{(0,1),(5,1),(6,1),(16,1),(57,1)}
       3:{1,2,5}:{(1,1),(7,1),(8,1),(19,1)}
       4:{3,4}:{(1,1),(7,1)}
       5:{2,3,6}:{(1,1),(2,1),(8,1),(9,1),(49,1)}
       6:{2,5,6}:{(2,1),(11,1),(64,1)}
       7:{1,4}:{(3,1),(4,1),(12,1)}
       8:{1,2,6}:{(3,1),(5,1),(13,1),(41,1)}
       9:{3,4,6}:{(4,1),(5,1),(13,1),(15,1),(16,1),(28,1),(42,1)}
      10:{2,3,5,6}:{(5,1),(6,1),(14,1),(15,1),(16,1),(17,1),(28,1),(29,1),(31,1),(43,1)}
      11:{4,5,6}:{(6,1),(16,1),(17,1),(59,1)}
      12:{1,3}:{(7,1)}
      13:{1,4,6}:{(7,1),(8,1),(9,1),(18,1),(19,1),(33,1)}
      14:{1,2,5,6}:{(8,1),(10,1),(19,1),(20,1),(24,1),(34,1),(40,1)}
      15:{3,5}:{(9,1),(19,1),(21,1)}
      16:{4,6}:{(10,1),(21,1),(52,1)}
      17:{3,5,6}:{(11,1),(23,1),(24,1),(54,1)}
      18:{1,3,6}:{(12,1),(13,1),(25,1),(28,1)}
      19:{1,5}:{(13,1),(15,1)}
      20:{1,4,6}:{(14,1),(16,1),(26,1),(28,1)}
      21:{4,5}:{(15,1),(16,1),(29,1)}
      22:{2,4,6}:{(16,1),(29,1),(31,1),(48,1)}
      23:{3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1),(32,1)}
      24:{1,5,6}:{(17,1),(32,1),(60,1)}
      25:{1,3,5}:{(18,1),(19,1),(33,1),(35,1)}
      26:{1,4,5}:{(19,1),(20,1),(21,1),(33,1),(34,1),(35,1),(52,1)}
      27:{1,2,4,6}:{(20,1),(22,1),(34,1),(36,1),(40,1),(52,1),(53,1),(55,1)}
      28:{3,6}:{(20,1),(35,1)}
      29:{2,5}:{(21,1),(22,1)}
      30:{3,4,5}:{(21,1),(23,1),(35,1),(38,1),(39,1),(52,1),(54,1),(65,1)}
      31:{2,3,6}:{(22,1),(23,1),(38,1),(40,1)}
      32:{1,4,6}:{(23,1),(24,1),(37,1),(39,1),(40,1)}
      33:{1,4}:{(25,1),(41,1),(42,1)}
      34:{1,2,5}:{(26,1),(27,1),(29,1),(41,1),(43,1),(60,1)}
      35:{3,5}:{(26,1),(28,1),(42,1)}
      36:{2,3,6}:{(27,1),(28,1),(43,1),(46,1),(62,1),(71,1)}
      37:{1,3,6}:{(28,1),(32,1),(44,1)}
      38:{2,3,5}:{(29,1),(30,1),(31,1),(47,1),(48,1),(62,1)}
      39:{1,4,5}:{(30,1),(32,1),(44,1),(47,1),(58,1),(60,1)}
      40:{1,2,6}:{(31,1),(32,1),(47,1)}
      41:{1,2}:{(33,1),(49,1)}
      42:{3,4}:{(33,1),(35,1),(49,1),(52,1)}
      43:{2,3,5}:{(34,1),(35,1),(36,1),(49,1),(52,1),(54,1),(64,1)}
      44:{1,3,5}:{(35,1),(37,1),(39,1),(50,1)}
      45:{1,2,3,6}:{(36,1),(37,1),(40,1),(51,1),(53,1),(75,1),(76,1)}
      46:{3,4,6}:{(36,1),(52,1),(53,1),(54,1),(65,1),(67,1),(76,1)}
      47:{1,2,5}:{(38,1),(39,1),(40,1),(55,1)}
      48:{2,4}:{(38,1),(52,1)}
      49:{2,3}:{(41,1),(42,1),(57,1)}
      50:{1,3,4}:{(42,1),(44,1),(56,1),(58,1)}
      51:{1,2,3,5}:{(43,1),(44,1),(45,1),(47,1),(56,1),(58,1),(60,1),(62,1),(70,1),(72,1)}
      52:{4}:{(43,1)}
      53:{1,4,6}:{(45,1),(46,1),(58,1),(60,1)}
      54:{3,5}:{(46,1),(59,1),(60,1)}
      55:{1,2,4}:{(47,1),(48,1),(58,1),(62,1)}
      56:{1,2,3}:{(49,1),(50,1),(63,1)}
      57:{2,4}:{(49,1),(52,1),(64,1)}
      58:{1,4}:{(51,1),(52,1),(65,1)}
      59:{4,5}:{(52,1),(54,1),(64,1),(67,1)}
      60:{1,5}:{(53,1),(54,1)}
      61:{3,5,6}:{(54,1),(67,1),(68,1),(76,1)}
      62:{2,3}:{(55,1),(65,1)}
      63:{1,2,4}:{(56,1),(57,1),(58,1),(69,1),(70,1)}
      64:{2,5}:{(57,1),(59,1),(71,1)}
      65:{3,4}:{(58,1),(62,1),(72,1)}
      66:{1,4,5}:{(58,1),(59,1),(60,1),(70,1),(72,1),(73,1),(77,1)}
      67:{4,6}:{(59,1),(61,1),(71,1)}
      68:{1,5,6}:{(60,1),(61,1),(73,1),(80,1)}
      69:{2,3,4}:{(63,1),(65,1),(74,1)}
      70:{1,2,5}:{(63,1),(64,1),(66,1),(74,1),(75,1)}
      71:{2,6}:{(64,1),(67,1)}
      72:{3,5}:{(65,1),(66,1),(76,1)}
      73:{1,4,6}:{(66,1),(67,1),(68,1),(75,1),(76,1),(79,1)}
      74:{2,3,5}:{(69,1),(70,1),(72,1),(77,1),(78,1)}
      75:{1,2,6}:{(70,1),(71,1),(73,1),(78,1)}
      76:{3,6}:{(72,1),(73,1)}
      77:{4,5}:{(74,1),(79,1)}
      78:{2,3,6}:{(74,1),(75,1),(76,1),(79,1)}
      79:{4,6}:{(77,1),(78,1),(80,1)}
      80:{5,6}:{(79,1)}

130 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(29,1),(35,1),(54,1),(56,1),(57,1)}
       1:{2,3,5}:{(0,1),(5,1),(6,1),(7,1),(22,1),(25,1)}
       2:{1,4,5}:{(0,1),(4,1),(5,1),(8,1),(20,1),(43,1)}
       3:{3,4,6}:{(0,1),(7,1),(8,1),(9,1),(26,1),(46,1)}
       4:{1,3,5}:{(2,1),(10,1),(12,1),(57,1)}
       5:{1,2,5}:{(1,1),(2,1),(13,1),(14,1)}
       6:{2,4}:{(1,1),(56,1)}
       7:{2,3,6}:{(1,1),(3,1),(14,1),(15,1)}
       8:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(17,1)}
       9:{3,5,6}:{(3,1),(17,1),(18,1),(54,1)}
      10:{1,3,4}:{(4,1),(19,1),(20,1),(67,1)}
      11:{1,2,3,5}:{(4,1),(5,1),(19,1),(20,1),(21,1),(22,1),(39,1),(40,1),(43,1),(44,1)}
      12:{1,3,6}:{(4,1),(8,1),(46,1)}
      13:{1,2,4}:{(5,1),(6,1),(20,1),(22,1)}
      14:{1,2,6}:{(5,1),(7,1),(8,1)}
      15:{2,4,6}:{(6,1),(7,1),(25,1),(26,1)}
      16:{2,3,5,6}:{(7,1),(9,1),(24,1),(25,1),(26,1),(27,1),(44,1),(46,1),(48,1),(49,1)}
      17:{1,5,6}:{(8,1),(9,1),(43,1)}
      18:{4,5,6}:{(9,1),(26,1),(27,1),(65,1)}
      19:{1,2,3}:{(10,1),(28,1),(74,1)}
      20:{1,4}:{(11,1),(29,1),(56,1)}
      21:{1,2,3,6}:{(11,1),(12,1),(14,1),(31,1),(32,1),(52,1),(53,1)}
      22:{2,3}:{(13,1),(29,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(15,1),(31,1),(32,1),(33,1),(34,1),(56,1)}
      24:{1,2,5,6}:{(14,1),(16,1),(17,1),(33,1),(34,1),(60,1),(61,1)}
      25:{2,5}:{(15,1),(35,1)}
      26:{4,6}:{(16,1),(35,1),(56,1)}
      27:{2,5,6}:{(18,1),(36,1),(73,1)}
      28:{1,2,4}:{(19,1),(20,1),(38,1),(39,1),(66,1)}
      29:{3,4}:{(20,1),(22,1),(40,1)}
      30:{1,4,5}:{(20,1),(39,1),(40,1),(42,1),(43,1),(62,1),(65,1)}
      31:{1,4,6}:{(20,1),(21,1),(41,1),(43,1)}
      32:{2,3,6}:{(22,1),(23,1),(41,1),(44,1),(46,1),(78,1)}
      33:{1,2,5}:{(23,1),(25,1),(43,1),(44,1),(45,1),(79,1)}
      34:{1,4,6}:{(24,1),(26,1),(45,1),(46,1)}
      35:{4,5}:{(25,1),(26,1),(48,1)}
      36:{2,4,6}:{(26,1),(27,1),(47,1),(49,1),(66,1)}
      37:{3,4,6}:{(26,1),(46,1),(48,1),(49,1),(50,1),(67,1),(70,1)}
      38:{2,3,4}:{(28,1),(29,1),(51,1)}
      39:{1,2,5}:{(28,1),(30,1),(51,1),(52,1),(73,1)}
      40:{3,5}:{(29,1),(30,1),(53,1)}
      41:{3,4,6}:{(29,1),(31,1),(32,1),(53,1),(54,1),(56,1),(72,1)}
      42:{1,4,6}:{(30,1),(52,1),(53,1),(55,1),(71,1),(72,1)}
      43:{1,5}:{(31,1),(54,1)}
      44:{2,3,5}:{(32,1),(33,1),(54,1),(56,1),(57,1),(73,1),(74,1)}
      45:{1,4,5}:{(33,1),(34,1),(35,1),(56,1),(57,1),(60,1),(75,1)}
      46:{3,6}:{(34,1),(57,1)}
      47:{2,4,5}:{(35,1),(36,1),(59,1)}
      48:{3,5}:{(35,1),(37,1),(60,1)}
      49:{2,3,6}:{(36,1),(37,1),(59,1),(61,1),(74,1)}
      50:{1,4,6}:{(37,1),(58,1),(60,1),(61,1),(75,1),(76,1)}
      51:{2,3,5}:{(38,1),(39,1),(40,1),(62,1),(63,1)}
      52:{1,2,6}:{(39,1),(42,1),(63,1),(78,1)}
      53:{3,6}:{(40,1),(42,1)}
      54:{3,5}:{(41,1),(43,1),(65,1)}
      55:{1,5,6}:{(42,1),(43,1),(64,1),(77,1)}
      56:{4}:{(44,1)}
      57:{3,5}:{(45,1),(46,1),(67,1)}
      58:{1,3,6}:{(46,1),(50,1),(68,1),(80,1)}
      59:{2,3,5}:{(47,1),(48,1),(49,1),(69,1),(70,1)}
      60:{1,5}:{(48,1),(50,1)}
      61:{1,2,6}:{(49,1),(50,1),(69,1),(79,1)}
      62:{4,5}:{(51,1),(71,1)}
      63:{2,3,6}:{(51,1),(52,1),(53,1),(71,1)}
      64:{3,5,6}:{(53,1),(54,1),(55,1),(72,1)}
      65:{4,5}:{(54,1),(56,1),(72,1),(73,1)}
      66:{2,4}:{(56,1),(73,1),(74,1)}
      67:{3,4}:{(56,1),(57,1),(74,1),(75,1)}
      68:{1,3,5}:{(57,1),(58,1),(60,1),(75,1)}
      69:{1,2,5}:{(59,1),(60,1),(61,1),(76,1)}
      70:{3,4}:{(59,1),(76,1)}
      71:{4,6}:{(62,1),(63,1),(77,1)}
      72:{4,6}:{(64,1),(65,1),(78,1)}
      73:{2,5}:{(65,1),(66,1),(78,1)}
      74:{2,3}:{(66,1),(67,1),(79,1)}
      75:{1,4}:{(67,1),(68,1),(79,1)}
      76:{1,4}:{(69,1),(70,1),(80,1)}
      77:{5,6}:{(71,1)}
      78:{2,6}:{(72,1),(73,1)}
      79:{1,2}:{(74,1),(75,1)}
      80:{1,3}:{(76,1)}

131 :  0:{2,3,4}:{(1,1),(2,1),(20,1)}
       1:{1,2,4}:{(0,1),(4,1),(5,1),(16,1),(60,1)}
       2:{2,3,5}:{(0,1),(3,1),(5,1),(6,1),(13,1)}
       3:{4,5}:{(2,1),(9,1)}
       4:{1,2,3}:{(1,1),(7,1),(67,1)}
       5:{1,2,5}:{(1,1),(2,1),(8,1),(11,1),(54,1)}
       6:{2,3,6}:{(2,1),(9,1),(11,1),(21,1)}
       7:{1,3,4}:{(4,1),(12,1),(16,1),(61,1)}
       8:{1,4,5}:{(3,1),(5,1),(13,1),(14,1),(16,1),(32,1),(46,1)}
       9:{4,6}:{(3,1),(6,1),(15,1)}
      10:{1,2,3,5}:{(4,1),(5,1),(12,1),(13,1),(16,1),(17,1),(26,1),(28,1),(32,1),(45,1)}
      11:{1,2,6}:{(5,1),(6,1),(14,1),(47,1)}
      12:{1,3,5}:{(7,1),(18,1),(19,1),(55,1)}
      13:{3,5}:{(8,1),(20,1),(21,1)}
      14:{1,4,6}:{(8,1),(9,1),(11,1),(21,1),(22,1),(39,1)}
      15:{5,6}:{(9,1)}
      16:{1,4}:{(10,1),(20,1),(53,1)}
      17:{1,2,3,6}:{(10,1),(11,1),(19,1),(21,1),(24,1),(35,1),(37,1)}
      18:{1,4,5}:{(12,1),(16,1),(25,1),(26,1),(27,1),(32,1)}
      19:{1,3,6}:{(12,1),(27,1),(59,1)}
      20:{3,4}:{(13,1),(16,1),(28,1)}
      21:{3,6}:{(13,1),(14,1)}
      22:{1,5,6}:{(14,1),(15,1),(30,1),(32,1)}
      23:{1,2,4}:{(16,1),(26,1),(28,1),(41,1)}
      24:{1,4,6}:{(16,1),(17,1),(29,1),(32,1)}
      25:{3,4,5}:{(18,1),(20,1),(33,1),(34,1),(38,1),(53,1),(55,1),(63,1)}
      26:{1,2,5}:{(18,1),(23,1),(33,1),(35,1)}
      27:{1,4,6}:{(18,1),(19,1),(34,1),(35,1),(36,1)}
      28:{2,3}:{(20,1),(23,1)}
      29:{3,4,6}:{(20,1),(21,1),(24,1),(37,1),(38,1),(39,1),(53,1)}
      30:{3,5,6}:{(21,1),(22,1),(38,1),(39,1)}
      31:{1,2,4,6}:{(23,1),(24,1),(35,1),(37,1),(40,1),(49,1),(52,1),(53,1)}
      32:{1,5}:{(24,1),(38,1)}
      33:{2,3,5}:{(25,1),(26,1),(28,1),(41,1),(42,1),(56,1)}
      34:{3,4,6}:{(25,1),(27,1),(42,1),(43,1),(57,1),(59,1)}
      35:{1,2,6}:{(26,1),(27,1),(42,1)}
      36:{1,5,6}:{(27,1),(32,1),(43,1)}
      37:{2,3,6}:{(28,1),(29,1),(31,1),(45,1),(47,1),(59,1)}
      38:{3,5}:{(29,1),(32,1),(46,1)}
      39:{4,6}:{(30,1),(46,1),(47,1)}
      40:{1,2,5}:{(31,1),(32,1),(45,1),(48,1),(56,1),(73,1)}
      41:{2,4}:{(33,1),(53,1)}
      42:{2,3,6}:{(33,1),(34,1),(35,1),(49,1)}
      43:{3,5,6}:{(34,1),(36,1),(38,1),(51,1)}
      44:{1,2,5,6}:{(35,1),(36,1),(40,1),(50,1),(52,1),(75,1),(76,1)}
      45:{2,3,5}:{(37,1),(38,1),(40,1),(53,1),(54,1),(55,1),(67,1)}
      46:{4,5}:{(38,1),(39,1),(53,1),(54,1)}
      47:{2,6}:{(39,1),(54,1)}
      48:{1,4,5}:{(40,1),(52,1),(53,1),(55,1),(63,1),(68,1),(75,1)}
      49:{2,4,6}:{(41,1),(42,1),(56,1),(57,1)}
      50:{2,3,5,6}:{(42,1),(43,1),(44,1),(45,1),(56,1),(57,1),(58,1),(59,1),(70,1),(71,1)}
      51:{4,5,6}:{(43,1),(46,1),(57,1),(58,1)}
      52:{1,4,6}:{(44,1),(48,1),(57,1),(59,1)}
      53:{4}:{(45,1)}
      54:{2,5}:{(46,1),(47,1),(60,1)}
      55:{3,5}:{(48,1),(59,1),(61,1)}
      56:{2,5}:{(49,1),(63,1)}
      57:{4,6}:{(50,1),(53,1),(63,1)}
      58:{2,5,6}:{(51,1),(54,1),(64,1)}
      59:{3,6}:{(52,1),(55,1)}
      60:{2,4}:{(53,1),(54,1),(67,1)}
      61:{3,4}:{(53,1),(55,1),(67,1),(68,1)}
      62:{1,3,5}:{(55,1),(66,1),(68,1),(75,1)}
      63:{4,5}:{(56,1),(57,1),(70,1)}
      64:{2,4,6}:{(57,1),(58,1),(60,1),(69,1),(71,1)}
      65:{3,4,6}:{(57,1),(59,1),(61,1),(70,1),(71,1),(72,1),(78,1)}
      66:{1,3,6}:{(59,1),(62,1),(72,1),(80,1)}
      67:{2,3}:{(60,1),(61,1),(73,1)}
      68:{1,4}:{(61,1),(62,1),(73,1)}
      69:{2,4,5}:{(63,1),(64,1),(74,1)}
      70:{3,5}:{(63,1),(65,1),(75,1)}
      71:{2,3,6}:{(64,1),(65,1),(67,1),(74,1),(76,1)}
      72:{1,4,6}:{(65,1),(66,1),(68,1),(75,1),(76,1),(79,1)}
      73:{1,2}:{(67,1),(68,1)}
      74:{2,3,5}:{(69,1),(70,1),(71,1),(77,1),(78,1)}
      75:{1,5}:{(70,1),(72,1)}
      76:{1,2,6}:{(71,1),(72,1),(73,1),(77,1)}
      77:{1,2,5}:{(74,1),(75,1),(76,1),(79,1)}
      78:{3,4}:{(74,1),(79,1)}
      79:{1,4}:{(77,1),(78,1),(80,1)}
      80:{1,3}:{(79,1)}

132 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

133 :  0:{2,4,5}:{(2,1),(3,1),(29,1)}
       1:{4,5,6}:{(4,1),(5,1),(19,1),(68,1)}
       2:{2,4,6}:{(0,1),(4,1),(6,1),(19,1),(70,1)}
       3:{2,3,5}:{(0,1),(6,1),(7,1),(8,1),(21,1)}
       4:{2,5,6}:{(1,1),(2,1),(74,1)}
       5:{3,5,6}:{(1,1),(9,1),(11,1),(60,1)}
       6:{2,3,6}:{(2,1),(3,1),(12,1),(13,1),(63,1)}
       7:{1,2,5}:{(3,1),(12,1),(14,1),(31,1)}
       8:{3,4}:{(3,1),(14,1)}
       9:{3,4,6}:{(5,1),(15,1),(16,1),(17,1),(19,1),(38,1)}
      10:{2,3,5,6}:{(4,1),(5,1),(6,1),(16,1),(18,1),(19,1),(21,1),(37,1),(38,1),(54,1)}
      11:{1,5,6}:{(5,1),(17,1),(53,1)}
      12:{1,2,6}:{(6,1),(7,1),(20,1),(56,1)}
      13:{3,4,6}:{(6,1),(8,1),(19,1),(20,1),(21,1),(38,1),(55,1)}
      14:{1,4}:{(7,1),(8,1),(22,1)}
      15:{3,4,5}:{(9,1),(23,1),(24,1),(29,1),(47,1),(58,1),(60,1),(62,1)}
      16:{2,3,6}:{(9,1),(23,1),(26,1),(27,1)}
      17:{1,4,6}:{(9,1),(11,1),(24,1),(25,1),(26,1)}
      18:{1,2,5,6}:{(10,1),(11,1),(12,1),(26,1),(28,1),(31,1),(46,1)}
      19:{4,6}:{(10,1),(29,1),(62,1)}
      20:{1,4,6}:{(12,1),(13,1),(14,1),(30,1),(31,1),(48,1)}
      21:{3,5}:{(13,1),(29,1),(31,1)}
      22:{1,3}:{(14,1)}
      23:{2,3,5}:{(15,1),(16,1),(33,1),(34,1),(37,1),(51,1)}
      24:{1,4,5}:{(15,1),(17,1),(32,1),(33,1),(50,1),(53,1)}
      25:{1,3,6}:{(17,1),(32,1),(38,1)}
      26:{1,2,6}:{(16,1),(17,1),(33,1)}
      27:{2,4,6}:{(16,1),(19,1),(34,1),(37,1)}
      28:{1,4,6}:{(18,1),(19,1),(38,1),(39,1)}
      29:{4,5}:{(19,1),(21,1),(37,1)}
      30:{1,3,6}:{(20,1),(22,1),(38,1),(40,1)}
      31:{1,5}:{(20,1),(21,1)}
      32:{1,3,5}:{(24,1),(25,1),(41,1),(47,1)}
      33:{1,2,5}:{(23,1),(24,1),(26,1),(43,1)}
      34:{2,4}:{(23,1),(62,1)}
      35:{1,2,3,6}:{(25,1),(26,1),(42,1),(44,1),(45,1),(72,1),(73,1)}
      36:{1,2,4,6}:{(26,1),(27,1),(28,1),(43,1),(44,1),(45,1),(46,1),(62,1)}
      37:{2,5}:{(27,1),(29,1)}
      38:{3,6}:{(28,1),(47,1)}
      39:{1,4,5}:{(28,1),(29,1),(31,1),(46,1),(47,1),(48,1),(62,1)}
      40:{1,3,5}:{(30,1),(31,1),(47,1),(48,1)}
      41:{1,3,4}:{(32,1),(49,1),(50,1),(55,1)}
      42:{1,2,3,5}:{(32,1),(33,1),(35,1),(49,1),(50,1),(51,1),(53,1),(54,1),(65,1),(66,1)}
      43:{1,2,4}:{(33,1),(34,1),(50,1),(51,1)}
      44:{1,4,6}:{(35,1),(50,1),(52,1),(53,1)}
      45:{2,3,6}:{(36,1),(38,1),(51,1),(52,1),(54,1),(78,1)}
      46:{1,2,5}:{(36,1),(37,1),(39,1),(53,1),(54,1),(56,1)}
      47:{3,5}:{(38,1),(39,1),(55,1)}
      48:{1,4}:{(40,1),(55,1),(56,1)}
      49:{1,2,3}:{(41,1),(57,1),(63,1)}
      50:{1,4}:{(42,1),(58,1),(62,1)}
      51:{2,3}:{(43,1),(58,1)}
      52:{3,4,6}:{(44,1),(45,1),(58,1),(60,1),(62,1),(73,1),(75,1)}
      53:{1,5}:{(44,1),(60,1)}
      54:{2,3,5}:{(45,1),(46,1),(47,1),(60,1),(62,1),(63,1),(74,1)}
      55:{3,4}:{(47,1),(48,1),(62,1),(63,1)}
      56:{1,2}:{(48,1),(63,1)}
      57:{1,2,4}:{(49,1),(50,1),(64,1),(65,1),(70,1)}
      58:{3,4}:{(50,1),(51,1),(66,1)}
      59:{1,4,5}:{(50,1),(53,1),(65,1),(66,1),(67,1),(68,1),(76,1)}
      60:{3,5}:{(52,1),(53,1),(68,1)}
      61:{1,5,6}:{(53,1),(67,1),(69,1),(80,1)}
      62:{4}:{(54,1)}
      63:{2,3}:{(55,1),(56,1),(70,1)}
      64:{2,3,4}:{(57,1),(58,1),(71,1)}
      65:{1,2,5}:{(57,1),(59,1),(71,1),(72,1),(74,1)}
      66:{3,5}:{(58,1),(59,1),(73,1)}
      67:{1,4,6}:{(59,1),(61,1),(72,1),(73,1),(75,1),(79,1)}
      68:{4,5}:{(60,1),(62,1),(74,1),(75,1)}
      69:{3,5,6}:{(60,1),(61,1),(73,1),(75,1)}
      70:{2,4}:{(62,1),(63,1),(74,1)}
      71:{2,3,5}:{(64,1),(65,1),(66,1),(76,1),(77,1)}
      72:{1,2,6}:{(65,1),(67,1),(77,1),(78,1)}
      73:{3,6}:{(66,1),(67,1)}
      74:{2,5}:{(68,1),(70,1),(78,1)}
      75:{4,6}:{(68,1),(69,1),(78,1)}
      76:{4,5}:{(71,1),(79,1)}
      77:{2,3,6}:{(71,1),(72,1),(73,1),(79,1)}
      78:{2,6}:{(74,1),(75,1)}
      79:{4,6}:{(76,1),(77,1),(80,1)}
      80:{5,6}:{(79,1)}

134 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(7,1),(9,1),(10,1)}
       1:{1,2,6}:{(0,1),(4,1),(5,1),(14,1),(31,1)}
       2:{3,6}:{(0,1),(6,1),(13,1)}
       3:{1,5}:{(0,1),(6,1),(11,1)}
       4:{2,3,6}:{(1,1),(2,1),(7,1),(8,1),(25,1),(26,1)}
       5:{1,2,5}:{(1,1),(3,1),(8,1),(9,1),(28,1),(29,1)}
       6:{3,5}:{(2,1),(3,1),(10,1)}
       7:{4,6}:{(4,1),(11,1),(12,1)}
       8:{2,3,5}:{(4,1),(5,1),(6,1),(11,1),(12,1),(13,1),(14,1),(21,1),(22,1),(23,1)}
       9:{1,4}:{(5,1),(12,1),(13,1)}
      10:{4}:{(6,1),(14,1)}
      11:{5}:{(7,1)}
      12:{4}:{(8,1)}
      13:{3}:{(9,1)}
      14:{2}:{(10,1)}
      15:{5,6}:{(11,1),(20,1),(38,1)}
      16:{4,5}:{(11,1),(12,1),(20,1),(21,1),(22,1),(33,1),(38,1)}
      17:{2,4}:{(12,1),(14,1),(21,1),(23,1),(33,1),(44,1)}
      18:{3,4}:{(12,1),(13,1),(22,1),(23,1),(24,1),(33,1),(39,1)}
      19:{1,3}:{(13,1),(24,1),(39,1)}
      20:{4,6}:{(15,1),(16,1),(25,1),(26,1)}
      21:{2,5}:{(16,1),(17,1),(25,1)}
      22:{3,5}:{(16,1),(18,1),(26,1),(28,1)}
      23:{2,3}:{(17,1),(18,1),(29,1)}
      24:{1,4}:{(18,1),(19,1),(28,1),(29,1)}
      25:{2,6}:{(20,1),(21,1)}
      26:{3,6}:{(20,1),(22,1),(31,1)}
      27:{2,3,5}:{(21,1),(22,1),(23,1),(30,1),(32,1),(33,1),(38,1),(39,1),(42,1),(44,1)}
      28:{1,5}:{(22,1),(24,1),(31,1)}
      29:{1,2}:{(23,1),(24,1)}
      30:{2,3,6}:{(25,1),(26,1),(27,1),(34,1),(35,1),(40,1)}
      31:{1,6}:{(26,1),(28,1)}
      32:{1,2,5}:{(27,1),(28,1),(29,1),(34,1),(36,1),(41,1)}
      33:{4}:{(27,1)}
      34:{1,2,6}:{(30,1),(31,1),(32,1),(37,1),(44,1)}
      35:{4,6}:{(30,1),(33,1),(38,1)}
      36:{1,4}:{(32,1),(33,1),(39,1)}
      37:{1,4,6}:{(34,1),(35,1),(36,1),(40,1),(41,1),(43,1)}
      38:{5}:{(35,1)}
      39:{3}:{(36,1)}
      40:{3,6}:{(37,1),(39,1),(42,1)}
      41:{1,5}:{(37,1),(38,1),(42,1)}
      42:{3,5}:{(40,1),(41,1),(43,1)}
      43:{4}:{(42,1),(44,1)}
      44:{2}:{(43,1)}

135 :  0:{3,4,6}:{(2,1),(3,1),(4,1),(6,1),(18,1),(22,1),(33,1),(35,1),(41,1)}
       1:{3,5,6}:{(4,1),(5,1),(6,1),(22,1)}
       2:{2,3,6}:{(0,1),(8,1),(9,1),(10,1),(14,1),(42,1),(45,1)}
       3:{1,4,6}:{(0,1),(7,1),(8,1),(11,1),(23,1),(24,1)}
       4:{3,5}:{(0,1),(11,1),(12,1),(49,1)}
       5:{1,5,6}:{(1,1),(11,1),(13,1),(49,1)}
       6:{4,6}:{(1,1),(12,1),(14,1)}
       7:{1,3,6}:{(3,1),(15,1),(22,1),(35,1)}
       8:{1,2,6}:{(2,1),(3,1),(16,1),(32,1),(53,1)}
       9:{2,4,6}:{(2,1),(17,1),(18,1),(36,1),(41,1),(50,1),(60,1)}
      10:{2,3,5}:{(2,1),(4,1),(16,1),(17,1),(18,1),(20,1),(35,1),(37,1),(38,1)}
      11:{1,5}:{(3,1),(4,1)}
      12:{4,5}:{(4,1),(6,1),(18,1),(20,1)}
      13:{1,4,6}:{(5,1),(6,1),(19,1),(21,1),(22,1),(41,1)}
      14:{2,6}:{(6,1),(20,1)}
      15:{1,3,5}:{(7,1),(11,1),(23,1),(30,1)}
      16:{1,2,5}:{(8,1),(10,1),(11,1),(24,1),(46,1),(47,1)}
      17:{2,5}:{(9,1),(26,1),(49,1)}
      18:{4}:{(10,1)}
      19:{1,4,5}:{(11,1),(12,1),(13,1),(23,1),(24,1),(29,1),(30,1),(48,1),(49,1)}
      20:{2,5}:{(12,1),(14,1),(27,1)}
      21:{1,2,6}:{(13,1),(14,1),(29,1),(31,1),(63,1)}
      22:{3,6}:{(13,1),(30,1)}
      23:{1,4}:{(15,1),(32,1),(33,1)}
      24:{1,4}:{(16,1),(18,1),(35,1)}
      25:{2,5,6}:{(17,1),(36,1),(55,1),(60,1)}
      26:{4,5}:{(17,1),(18,1),(36,1),(37,1)}
      27:{2,4}:{(18,1),(20,1),(38,1)}
      28:{3,4}:{(18,1),(35,1),(37,1),(38,1),(39,1)}
      29:{1,2,5}:{(19,1),(20,1),(21,1),(32,1),(34,1),(40,1),(61,1)}
      30:{3,5}:{(19,1),(22,1),(33,1),(35,1)}
      31:{2,3,6}:{(21,1),(22,1),(40,1),(41,1),(60,1),(62,1)}
      32:{1,2}:{(23,1),(42,1)}
      33:{3,4}:{(23,1),(30,1),(42,1),(48,1)}
      34:{1,2,4}:{(24,1),(27,1),(29,1),(43,1),(47,1),(48,1),(57,1)}
      35:{3}:{(24,1)}
      36:{4,6}:{(25,1),(26,1),(45,1)}
      37:{3,5}:{(26,1),(28,1),(45,1),(46,1)}
      38:{2,3}:{(27,1),(28,1),(47,1)}
      39:{1,4}:{(28,1),(44,1),(46,1),(47,1)}
      40:{2,3,5}:{(29,1),(30,1),(31,1),(42,1),(43,1),(48,1),(49,1),(56,1),(58,1)}
      41:{4,6}:{(31,1),(48,1),(49,1)}
      42:{2,3}:{(32,1),(33,1),(50,1)}
      43:{2,3}:{(34,1),(35,1),(52,1)}
      44:{1,3}:{(35,1),(39,1)}
      45:{3,6}:{(36,1),(37,1),(53,1)}
      46:{1,5}:{(37,1),(39,1),(53,1)}
      47:{1,2}:{(38,1),(39,1)}
      48:{4}:{(40,1)}
      49:{5}:{(41,1)}
      50:{2,4}:{(42,1),(48,1),(56,1)}
      51:{1,2,3}:{(43,1),(44,1),(47,1),(57,1)}
      52:{3,4}:{(43,1),(48,1),(57,1),(58,1)}
      53:{1,6}:{(45,1),(46,1)}
      54:{4,5}:{(48,1),(49,1),(56,1),(58,1),(59,1)}
      55:{5,6}:{(49,1),(59,1)}
      56:{2,5}:{(50,1),(54,1),(60,1)}
      57:{1,4}:{(51,1),(52,1),(61,1)}
      58:{3,5}:{(52,1),(54,1),(61,1),(62,1)}
      59:{4,6}:{(54,1),(55,1),(60,1),(62,1)}
      60:{2,6}:{(56,1),(59,1)}
      61:{1,5}:{(57,1),(58,1),(63,1)}
      62:{3,6}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

136 :  0:{4,5,6}:{(1,1),(2,1),(14,1),(68,1)}
       1:{2,5,6}:{(0,1),(4,1),(74,1)}
       2:{3,5,6}:{(0,1),(5,1),(7,1),(59,1)}
       3:{2,4,5}:{(4,1),(8,1),(25,1)}
       4:{2,4,6}:{(1,1),(3,1),(10,1),(14,1),(70,1)}
       5:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(14,1),(35,1)}
       6:{2,3,5,6}:{(1,1),(2,1),(10,1),(11,1),(13,1),(14,1),(31,1),(34,1),(35,1),(53,1)}
       7:{1,5,6}:{(2,1),(12,1),(52,1)}
       8:{2,3,5}:{(3,1),(10,1),(15,1),(16,1),(31,1)}
       9:{3,4,5}:{(5,1),(17,1),(18,1),(25,1),(46,1),(56,1),(59,1),(61,1)}
      10:{2,3,6}:{(4,1),(8,1),(19,1),(20,1),(62,1)}
      11:{2,3,6}:{(5,1),(17,1),(22,1),(23,1)}
      12:{1,4,6}:{(5,1),(7,1),(18,1),(21,1),(22,1)}
      13:{1,2,5,6}:{(6,1),(7,1),(19,1),(22,1),(24,1),(42,1),(45,1)}
      14:{4,6}:{(6,1),(25,1),(61,1)}
      15:{1,2,5}:{(8,1),(19,1),(26,1),(42,1)}
      16:{3,4}:{(8,1),(26,1)}
      17:{2,3,5}:{(9,1),(11,1),(28,1),(29,1),(34,1),(49,1)}
      18:{1,4,5}:{(9,1),(12,1),(27,1),(28,1),(48,1),(52,1)}
      19:{1,2,6}:{(10,1),(15,1),(30,1),(67,1)}
      20:{3,4,6}:{(10,1),(14,1),(16,1),(30,1),(31,1),(35,1),(54,1)}
      21:{1,3,6}:{(12,1),(27,1),(35,1)}
      22:{1,2,6}:{(11,1),(12,1),(28,1)}
      23:{2,4,6}:{(11,1),(14,1),(29,1),(34,1)}
      24:{1,4,6}:{(13,1),(14,1),(35,1),(36,1)}
      25:{4,5}:{(14,1),(31,1),(34,1)}
      26:{1,4}:{(15,1),(16,1),(37,1)}
      27:{1,3,5}:{(18,1),(21,1),(38,1),(46,1)}
      28:{1,2,5}:{(17,1),(18,1),(22,1),(40,1)}
      29:{2,4}:{(17,1),(61,1)}
      30:{1,4,6}:{(19,1),(20,1),(26,1),(41,1),(42,1),(58,1)}
      31:{3,5}:{(20,1),(25,1),(42,1)}
      32:{1,2,3,6}:{(21,1),(22,1),(39,1),(43,1),(44,1),(72,1),(73,1)}
      33:{1,2,4,6}:{(22,1),(23,1),(24,1),(40,1),(43,1),(44,1),(45,1),(61,1)}
      34:{2,5}:{(23,1),(25,1)}
      35:{3,6}:{(24,1),(46,1)}
      36:{1,4,5}:{(24,1),(25,1),(42,1),(45,1),(46,1),(58,1),(61,1)}
      37:{1,3}:{(26,1)}
      38:{1,3,4}:{(27,1),(47,1),(48,1),(54,1)}
      39:{1,2,3,5}:{(27,1),(28,1),(32,1),(47,1),(48,1),(49,1),(52,1),(53,1),(64,1),(65,1)}
      40:{1,2,4}:{(28,1),(29,1),(48,1),(49,1)}
      41:{1,3,6}:{(30,1),(35,1),(37,1),(50,1)}
      42:{1,5}:{(30,1),(31,1)}
      43:{1,4,6}:{(32,1),(48,1),(51,1),(52,1)}
      44:{2,3,6}:{(33,1),(35,1),(49,1),(51,1),(53,1),(78,1)}
      45:{1,2,5}:{(33,1),(34,1),(36,1),(52,1),(53,1),(67,1)}
      46:{3,5}:{(35,1),(36,1),(54,1)}
      47:{1,2,3}:{(38,1),(55,1),(62,1)}
      48:{1,4}:{(39,1),(56,1),(61,1)}
      49:{2,3}:{(40,1),(56,1)}
      50:{1,3,5}:{(41,1),(42,1),(46,1),(58,1)}
      51:{3,4,6}:{(43,1),(44,1),(56,1),(59,1),(61,1),(73,1),(75,1)}
      52:{1,5}:{(43,1),(59,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(59,1),(61,1),(62,1),(74,1)}
      54:{3,4}:{(46,1),(58,1),(61,1),(62,1)}
      55:{1,2,4}:{(47,1),(48,1),(63,1),(64,1),(70,1)}
      56:{3,4}:{(48,1),(49,1),(65,1)}
      57:{1,4,5}:{(48,1),(52,1),(64,1),(65,1),(66,1),(68,1),(76,1)}
      58:{1,4}:{(50,1),(54,1),(67,1)}
      59:{3,5}:{(51,1),(52,1),(68,1)}
      60:{1,5,6}:{(52,1),(66,1),(69,1),(80,1)}
      61:{4}:{(53,1)}
      62:{2,3}:{(54,1),(67,1),(70,1)}
      63:{2,3,4}:{(55,1),(56,1),(71,1)}
      64:{1,2,5}:{(55,1),(57,1),(71,1),(72,1),(74,1)}
      65:{3,5}:{(56,1),(57,1),(73,1)}
      66:{1,4,6}:{(57,1),(60,1),(72,1),(73,1),(75,1),(79,1)}
      67:{1,2}:{(58,1),(62,1)}
      68:{4,5}:{(59,1),(61,1),(74,1),(75,1)}
      69:{3,5,6}:{(59,1),(60,1),(73,1),(75,1)}
      70:{2,4}:{(61,1),(62,1),(74,1)}
      71:{2,3,5}:{(63,1),(64,1),(65,1),(76,1),(77,1)}
      72:{1,2,6}:{(64,1),(66,1),(77,1),(78,1)}
      73:{3,6}:{(65,1),(66,1)}
      74:{2,5}:{(68,1),(70,1),(78,1)}
      75:{4,6}:{(68,1),(69,1),(78,1)}
      76:{4,5}:{(71,1),(79,1)}
      77:{2,3,6}:{(71,1),(72,1),(73,1),(79,1)}
      78:{2,6}:{(74,1),(75,1)}
      79:{4,6}:{(76,1),(77,1),(80,1)}
      80:{5,6}:{(79,1)}

137 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(8,1),(10,1),(13,1),(25,1),(41,1),(52,1),(56,1),(59,1)}
       1:{1,4}:{(0,1),(5,1),(32,1)}
       2:{1,2,3,6}:{(0,1),(6,1),(15,1),(16,1),(18,1),(45,1),(55,1)}
       3:{1,4,5}:{(1,1),(7,1),(8,1),(9,1),(13,1),(21,1),(27,1),(35,1)}
       4:{1,2,4}:{(1,1),(7,1),(10,1),(21,1),(39,1),(52,1)}
       5:{3,4}:{(1,1),(8,1),(10,1),(21,1),(59,1)}
       6:{1,4,6}:{(1,1),(2,1),(12,1),(13,1)}
       7:{1,2,5}:{(3,1),(4,1),(14,1),(15,1),(34,1)}
       8:{3,5}:{(3,1),(5,1),(16,1)}
       9:{1,4,6}:{(3,1),(15,1),(16,1),(17,1),(28,1),(31,1)}
      10:{2,3}:{(4,1),(5,1)}
      11:{1,2,4,6}:{(4,1),(6,1),(15,1),(18,1),(19,1),(28,1),(30,1),(32,1),(43,1),(55,1),(58,1)}
      12:{3,4,6}:{(5,1),(6,1),(16,1),(18,1),(20,1),(28,1),(31,1),(32,1)}
      13:{1,5}:{(6,1),(20,1)}
      14:{2,3,5}:{(7,1),(8,1),(10,1),(21,1),(22,1),(35,1)}
      15:{1,2,6}:{(7,1),(9,1),(22,1),(38,1)}
      16:{3,6}:{(8,1),(9,1)}
      17:{1,5,6}:{(9,1),(13,1),(24,1),(35,1)}
      18:{2,3,6}:{(10,1),(11,1),(12,1),(25,1),(37,1),(38,1),(59,1)}
      19:{1,2,5}:{(11,1),(13,1),(25,1),(26,1),(35,1),(48,1),(52,1)}
      20:{3,5}:{(12,1),(13,1),(27,1),(35,1)}
      21:{4}:{(14,1)}
      22:{2,3,6}:{(14,1),(15,1),(16,1),(28,1)}
      23:{1,2,5,6}:{(15,1),(17,1),(19,1),(29,1),(30,1),(54,1),(55,1)}
      24:{3,5,6}:{(16,1),(17,1),(20,1),(31,1)}
      25:{2,3,5}:{(18,1),(19,1),(20,1),(32,1),(33,1),(34,1),(46,1)}
      26:{1,4,5}:{(19,1),(30,1),(32,1),(33,1),(42,1),(47,1),(54,1),(58,1)}
      27:{4,5}:{(20,1),(31,1),(32,1),(34,1)}
      28:{4,6}:{(21,1),(22,1),(35,1)}
      29:{2,3,5,6}:{(22,1),(23,1),(24,1),(25,1),(35,1),(36,1),(37,1),(38,1),(48,1),(49,1),(50,1)}
      30:{1,4,6}:{(23,1),(26,1),(36,1),(37,1)}
      31:{4,6}:{(24,1),(27,1),(38,1)}
      32:{4}:{(25,1)}
      33:{3,5}:{(26,1),(37,1),(40,1),(59,1)}
      34:{2,5}:{(27,1),(38,1),(39,1)}
      35:{5}:{(28,1)}
      36:{4,6}:{(29,1),(32,1),(42,1)}
      37:{3,6}:{(30,1),(33,1)}
      38:{2,6}:{(31,1),(34,1)}
      39:{2,4}:{(32,1),(34,1),(46,1)}
      40:{3,4}:{(32,1),(33,1),(46,1),(47,1)}
      41:{1,3,5}:{(33,1),(45,1),(47,1),(54,1)}
      42:{4,5}:{(35,1),(36,1),(48,1),(49,1),(57,1)}
      43:{2,4,6}:{(36,1),(38,1),(39,1),(48,1),(50,1),(57,1)}
      44:{3,4,6}:{(36,1),(37,1),(40,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      45:{1,3,6}:{(37,1),(41,1),(51,1),(59,1)}
      46:{2,3}:{(39,1),(40,1),(52,1)}
      47:{1,4}:{(40,1),(41,1),(52,1)}
      48:{2,5}:{(42,1),(43,1)}
      49:{3,5}:{(42,1),(44,1),(54,1)}
      50:{2,3,6}:{(43,1),(44,1),(46,1),(53,1),(55,1)}
      51:{1,4,6}:{(44,1),(45,1),(47,1),(54,1),(55,1),(58,1)}
      52:{1,2}:{(46,1),(47,1)}
      53:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{1,2,6}:{(50,1),(51,1),(52,1),(56,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(53,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

138 :  0:{1,2,3,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(42,1),(54,1)}
       1:{1,2,4,6}:{(2,1),(4,1),(5,1),(15,1),(18,1),(19,1),(34,1),(38,1),(51,1),(54,1),(58,1)}
       2:{1,4,6}:{(0,1),(6,1),(7,1),(8,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(9,1),(24,1),(25,1),(26,1),(31,1),(50,1),(56,1),(59,1)}
       4:{2,3,6}:{(1,1),(6,1),(9,1),(26,1),(30,1),(43,1),(59,1)}
       5:{1,2,5}:{(1,1),(7,1),(9,1),(11,1),(46,1),(50,1),(55,1)}
       6:{3,4,6}:{(2,1),(4,1),(12,1),(16,1),(18,1),(32,1),(35,1),(51,1)}
       7:{1,5}:{(2,1),(12,1)}
       8:{1,4}:{(3,1),(16,1),(18,1)}
       9:{2,3,5}:{(4,1),(5,1),(12,1),(18,1),(20,1),(33,1),(40,1)}
      10:{1,2,5,6}:{(5,1),(13,1),(17,1),(19,1),(34,1),(53,1),(54,1)}
      11:{1,4,5}:{(5,1),(18,1),(19,1),(20,1),(37,1),(41,1),(53,1),(58,1)}
      12:{3,5}:{(6,1),(7,1),(22,1),(55,1)}
      13:{1,5,6}:{(7,1),(21,1),(23,1),(55,1)}
      14:{1,4,5}:{(7,1),(8,1),(22,1),(23,1),(24,1),(25,1),(45,1),(55,1)}
      15:{1,2,4}:{(8,1),(24,1),(26,1),(28,1),(45,1),(50,1)}
      16:{3,4}:{(8,1),(25,1),(26,1),(45,1),(59,1)}
      17:{2,3,5,6}:{(9,1),(10,1),(21,1),(27,1),(30,1),(43,1),(44,1),(46,1),(47,1),(48,1),(55,1)}
      18:{4}:{(9,1)}
      19:{1,4,6}:{(10,1),(11,1),(27,1),(30,1)}
      20:{3,5}:{(11,1),(29,1),(30,1),(59,1)}
      21:{3,5,6}:{(12,1),(13,1),(32,1),(35,1)}
      22:{4,5}:{(12,1),(18,1),(32,1),(33,1)}
      23:{1,4,6}:{(13,1),(14,1),(32,1),(34,1),(35,1),(51,1)}
      24:{1,2,5}:{(14,1),(15,1),(33,1),(34,1),(36,1)}
      25:{3,5}:{(14,1),(16,1),(35,1)}
      26:{2,3}:{(15,1),(16,1)}
      27:{4,6}:{(17,1),(18,1),(37,1)}
      28:{2,4}:{(18,1),(33,1),(40,1)}
      29:{3,4}:{(18,1),(20,1),(40,1),(41,1)}
      30:{3,6}:{(19,1),(20,1)}
      31:{1,3,5}:{(20,1),(41,1),(42,1),(53,1)}
      32:{4,6}:{(21,1),(22,1),(43,1)}
      33:{2,5}:{(22,1),(28,1),(43,1)}
      34:{1,2,6}:{(23,1),(24,1),(43,1),(44,1)}
      35:{3,6}:{(23,1),(25,1)}
      36:{2,3,5}:{(24,1),(25,1),(26,1),(44,1),(45,1),(55,1)}
      37:{4,5}:{(27,1),(46,1),(47,1),(55,1),(57,1)}
      38:{2,4,6}:{(27,1),(28,1),(43,1),(46,1),(48,1),(57,1)}
      39:{3,4,6}:{(27,1),(29,1),(30,1),(47,1),(48,1),(49,1),(57,1),(59,1)}
      40:{2,3}:{(28,1),(29,1),(50,1)}
      41:{1,4}:{(29,1),(31,1),(50,1)}
      42:{1,3,6}:{(30,1),(31,1),(49,1),(59,1)}
      43:{2,6}:{(32,1),(33,1)}
      44:{2,3,6}:{(34,1),(35,1),(36,1),(51,1)}
      45:{4}:{(36,1)}
      46:{2,5}:{(37,1),(38,1)}
      47:{3,5}:{(37,1),(39,1),(53,1)}
      48:{2,3,6}:{(38,1),(39,1),(40,1),(52,1),(54,1)}
      49:{1,4,6}:{(39,1),(41,1),(42,1),(53,1),(54,1),(58,1)}
      50:{1,2}:{(40,1),(41,1)}
      51:{4,6}:{(44,1),(45,1),(55,1)}
      52:{2,3,5}:{(46,1),(47,1),(48,1),(56,1),(57,1),(59,1)}
      53:{1,5}:{(47,1),(49,1)}
      54:{1,2,6}:{(48,1),(49,1),(50,1),(56,1)}
      55:{5}:{(51,1)}
      56:{1,2,5}:{(52,1),(53,1),(54,1),(58,1)}
      57:{4}:{(52,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

139 :  0:{1,2,5,6}:{(1,1),(2,1),(10,1),(24,1),(25,1),(46,1),(54,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(6,1),(14,1),(15,1),(16,1),(19,1),(39,1),(50,1),(57,1),(59,1)}
       2:{1,4,6}:{(0,1),(3,1),(4,1),(6,1)}
       3:{4,6}:{(1,1),(7,1),(29,1)}
       4:{1,4,5}:{(2,1),(7,1),(10,1),(11,1),(24,1),(27,1),(29,1),(40,1)}
       5:{1,2,4,6}:{(2,1),(8,1),(10,1),(12,1),(25,1),(29,1),(30,1),(40,1),(41,1),(54,1),(58,1)}
       6:{3,6}:{(2,1),(11,1)}
       7:{4,5}:{(3,1),(14,1),(15,1),(33,1),(59,1)}
       8:{2,4,6}:{(3,1),(14,1),(16,1),(33,1),(35,1),(50,1)}
       9:{3,4,6}:{(3,1),(6,1),(15,1),(16,1),(17,1),(18,1),(33,1),(47,1)}
      10:{1,2,5}:{(4,1),(5,1),(14,1),(19,1),(34,1),(38,1),(59,1)}
      11:{3,5}:{(4,1),(6,1),(18,1),(47,1)}
      12:{2,3,6}:{(5,1),(6,1),(19,1),(22,1),(47,1),(48,1),(50,1)}
      13:{1,3,6}:{(6,1),(17,1),(20,1),(47,1)}
      14:{2,5}:{(7,1),(8,1)}
      15:{3,5}:{(7,1),(9,1),(24,1)}
      16:{2,3,6}:{(8,1),(9,1),(23,1),(25,1),(26,1)}
      17:{1,4,6}:{(9,1),(13,1),(24,1),(25,1),(27,1),(40,1)}
      18:{3,4}:{(11,1),(26,1),(27,1),(29,1)}
      19:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(29,1),(31,1),(42,1)}
      20:{1,3,5}:{(11,1),(13,1),(24,1),(27,1)}
      21:{1,2,3,6}:{(12,1),(13,1),(25,1),(28,1),(30,1),(54,1),(55,1)}
      22:{3,4,6}:{(12,1),(29,1),(30,1),(31,1),(43,1),(45,1),(55,1),(58,1)}
      23:{2,3,5}:{(14,1),(15,1),(16,1),(32,1),(33,1),(47,1)}
      24:{1,5}:{(15,1),(17,1)}
      25:{1,2,6}:{(16,1),(17,1),(32,1),(34,1)}
      26:{2,3}:{(18,1),(34,1),(35,1)}
      27:{1,4}:{(18,1),(20,1),(34,1)}
      28:{1,2,3,5}:{(19,1),(20,1),(21,1),(32,1),(34,1),(36,1),(38,1),(47,1),(48,1),(49,1),(51,1)}
      29:{4}:{(19,1)}
      30:{1,4,6}:{(21,1),(22,1),(36,1),(38,1)}
      31:{3,5}:{(22,1),(37,1),(38,1),(59,1)}
      32:{1,2,5}:{(23,1),(24,1),(25,1),(40,1)}
      33:{4}:{(23,1)}
      34:{1,2}:{(26,1),(27,1)}
      35:{2,4}:{(26,1),(29,1),(42,1)}
      36:{1,4}:{(28,1),(29,1),(43,1)}
      37:{4,5}:{(29,1),(31,1),(42,1),(45,1)}
      38:{1,5}:{(30,1),(31,1)}
      39:{3,5,6}:{(31,1),(45,1),(46,1),(55,1)}
      40:{1,4}:{(32,1),(33,1),(47,1)}
      41:{1,2,4}:{(34,1),(35,1),(36,1),(48,1),(49,1),(56,1)}
      42:{2,5}:{(35,1),(37,1),(50,1)}
      43:{3,4}:{(36,1),(47,1),(48,1),(51,1),(56,1)}
      44:{1,4,5}:{(36,1),(37,1),(38,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      45:{4,6}:{(37,1),(39,1),(50,1)}
      46:{1,5,6}:{(38,1),(39,1),(52,1),(59,1)}
      47:{3}:{(40,1)}
      48:{2,3}:{(41,1),(43,1)}
      49:{1,2,5}:{(41,1),(42,1),(44,1),(53,1),(54,1)}
      50:{2,6}:{(42,1),(45,1)}
      51:{3,5}:{(43,1),(44,1),(55,1)}
      52:{1,4,6}:{(44,1),(45,1),(46,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

140 :  0:{1,2,3}:{(2,1),(3,1),(62,1),(63,1)}
       1:{1,2,4}:{(2,1),(3,1),(4,1),(14,1),(54,1),(55,1),(63,1)}
       2:{1,4}:{(0,1),(5,1),(6,1)}
       3:{2,3}:{(1,1),(5,1),(59,1)}
       4:{1,2,5}:{(1,1),(6,1),(7,1),(8,1),(9,1),(35,1),(51,1)}
       5:{3,4}:{(2,1),(3,1),(10,1),(14,1)}
       6:{1,5}:{(2,1),(10,1),(11,1)}
       7:{1,4,5}:{(4,1),(12,1),(13,1),(14,1),(26,1),(32,1),(43,1),(45,1),(54,1)}
       8:{2,3,5}:{(3,1),(4,1),(10,1),(12,1),(14,1),(15,1),(24,1),(28,1),(32,1)}
       9:{1,2,6}:{(4,1),(11,1),(13,1),(15,1),(46,1)}
      10:{3,5}:{(5,1),(6,1),(16,1),(17,1)}
      11:{1,6}:{(6,1),(17,1)}
      12:{3,5}:{(7,1),(19,1),(20,1),(59,1)}
      13:{1,4,6}:{(7,1),(9,1),(20,1),(21,1),(23,1),(39,1)}
      14:{4}:{(8,1)}
      15:{2,3,6}:{(8,1),(9,1),(17,1),(20,1),(23,1),(33,1)}
      16:{4,5}:{(10,1),(14,1),(24,1),(25,1),(32,1)}
      17:{3,6}:{(10,1),(11,1),(25,1)}
      18:{1,3,5}:{(12,1),(26,1),(27,1),(43,1)}
      19:{3,4}:{(12,1),(14,1),(26,1),(28,1)}
      20:{3,6}:{(12,1),(13,1)}
      21:{1,5,6}:{(13,1),(30,1),(32,1),(43,1)}
      22:{2,4}:{(14,1),(24,1),(28,1)}
      23:{4,6}:{(14,1),(15,1),(32,1)}
      24:{2,5}:{(16,1),(22,1),(33,1)}
      25:{4,6}:{(16,1),(17,1),(33,1),(34,1)}
      26:{1,4}:{(18,1),(19,1),(35,1)}
      27:{1,3,6}:{(18,1),(20,1),(36,1),(59,1)}
      28:{2,3}:{(19,1),(22,1),(35,1)}
      29:{3,4,6}:{(19,1),(20,1),(23,1),(36,1),(37,1),(38,1),(39,1),(50,1),(59,1)}
      30:{3,5,6}:{(20,1),(21,1),(38,1),(39,1)}
      31:{2,4,6}:{(22,1),(23,1),(33,1),(37,1),(40,1),(48,1),(50,1)}
      32:{5}:{(23,1)}
      33:{2,6}:{(24,1),(25,1)}
      34:{5,6}:{(25,1),(32,1)}
      35:{1,2}:{(26,1),(28,1)}
      36:{1,4,6}:{(26,1),(27,1),(29,1),(42,1),(43,1),(54,1)}
      37:{2,3,6}:{(28,1),(29,1),(31,1),(42,1),(44,1),(46,1),(53,1)}
      38:{3,5}:{(29,1),(32,1),(43,1),(45,1)}
      39:{4,6}:{(30,1),(45,1),(46,1)}
      40:{2,5}:{(31,1),(32,1),(47,1)}
      41:{2,5,6}:{(33,1),(34,1),(40,1),(48,1)}
      42:{1,2,6}:{(35,1),(36,1),(37,1),(49,1),(58,1)}
      43:{1,5}:{(36,1),(38,1)}
      44:{2,3,5}:{(37,1),(38,1),(40,1),(49,1),(50,1),(51,1),(52,1),(59,1),(60,1)}
      45:{4,5}:{(38,1),(39,1),(50,1),(51,1)}
      46:{2,6}:{(39,1),(51,1)}
      47:{4,5}:{(40,1),(48,1),(50,1),(52,1)}
      48:{4,6}:{(41,1),(47,1),(53,1)}
      49:{1,2,5}:{(42,1),(43,1),(44,1),(54,1),(57,1),(63,1)}
      50:{4}:{(44,1)}
      51:{2,5}:{(45,1),(46,1),(55,1)}
      52:{3,5}:{(47,1),(53,1),(56,1),(57,1)}
      53:{3,6}:{(48,1),(52,1),(58,1)}
      54:{1,4}:{(49,1),(50,1),(59,1)}
      55:{2,4}:{(50,1),(51,1),(60,1)}
      56:{3,4}:{(50,1),(52,1),(59,1),(60,1),(61,1)}
      57:{1,5}:{(52,1),(58,1),(61,1)}
      58:{1,6}:{(53,1),(57,1)}
      59:{3}:{(54,1)}
      60:{2,3}:{(55,1),(56,1),(63,1)}
      61:{1,4}:{(56,1),(57,1),(62,1),(63,1)}
      62:{1,3}:{(59,1),(61,1)}
      63:{1,2}:{(60,1),(61,1)}

141 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

142 :  0:{2,4,6}:{(2,1),(3,1),(4,1),(13,1),(53,1),(54,1),(62,1)}
       1:{2,5,6}:{(3,1),(4,1),(62,1),(63,1)}
       2:{2,3,6}:{(0,1),(5,1),(6,1),(7,1),(9,1),(39,1),(48,1)}
       3:{2,5}:{(0,1),(8,1),(59,1)}
       4:{4,6}:{(1,1),(8,1),(9,1)}
       5:{1,2,6}:{(2,1),(10,1),(11,1),(15,1),(41,1)}
       6:{3,4,6}:{(2,1),(10,1),(12,1),(13,1),(28,1),(29,1),(42,1),(44,1),(54,1)}
       7:{2,3,5}:{(2,1),(3,1),(11,1),(12,1),(13,1),(14,1),(28,1),(30,1),(31,1)}
       8:{4,5}:{(3,1),(4,1),(13,1),(14,1)}
       9:{3,6}:{(4,1),(14,1),(15,1)}
      10:{1,4,6}:{(5,1),(6,1),(16,1),(17,1),(18,1),(33,1)}
      11:{1,2,5}:{(5,1),(7,1),(17,1),(18,1),(23,1),(40,1)}
      12:{3,5}:{(6,1),(17,1),(20,1),(59,1)}
      13:{4}:{(7,1)}
      14:{3,5}:{(8,1),(9,1),(22,1),(23,1)}
      15:{1,6}:{(9,1),(23,1)}
      16:{1,3,6}:{(10,1),(24,1),(28,1),(44,1)}
      17:{1,5}:{(10,1),(12,1)}
      18:{1,4}:{(11,1),(13,1),(28,1)}
      19:{3,5,6}:{(12,1),(25,1),(29,1),(44,1)}
      20:{4,5}:{(12,1),(13,1),(29,1),(30,1)}
      21:{2,4}:{(13,1),(30,1),(31,1)}
      22:{3,4}:{(13,1),(14,1),(28,1),(31,1),(32,1)}
      23:{1,5}:{(14,1),(15,1),(32,1)}
      24:{1,3,5}:{(16,1),(17,1),(33,1),(36,1)}
      25:{1,5,6}:{(17,1),(19,1),(34,1),(59,1)}
      26:{1,4,5}:{(17,1),(18,1),(20,1),(33,1),(34,1),(35,1),(36,1),(50,1),(59,1)}
      27:{1,2,4}:{(18,1),(21,1),(35,1),(37,1),(40,1),(50,1),(51,1)}
      28:{3}:{(18,1)}
      29:{4,6}:{(19,1),(20,1),(39,1)}
      30:{2,5}:{(20,1),(21,1),(39,1)}
      31:{2,3}:{(21,1),(22,1),(40,1)}
      32:{1,4}:{(22,1),(23,1),(38,1),(40,1)}
      33:{1,4}:{(24,1),(41,1),(42,1)}
      34:{1,4,6}:{(25,1),(26,1),(29,1),(43,1),(44,1),(54,1)}
      35:{1,2,5}:{(26,1),(27,1),(30,1),(41,1),(43,1),(45,1),(56,1)}
      36:{3,5}:{(26,1),(28,1),(42,1),(44,1)}
      37:{2,3}:{(27,1),(28,1),(47,1)}
      38:{1,3}:{(28,1),(32,1)}
      39:{2,6}:{(29,1),(30,1)}
      40:{1,2}:{(31,1),(32,1)}
      41:{1,2}:{(33,1),(48,1)}
      42:{3,4}:{(33,1),(36,1),(48,1),(50,1)}
      43:{1,2,6}:{(34,1),(35,1),(39,1),(49,1),(61,1)}
      44:{3,6}:{(34,1),(36,1)}
      45:{2,3,5}:{(35,1),(36,1),(37,1),(48,1),(49,1),(50,1),(52,1),(58,1),(59,1)}
      46:{1,2,3}:{(37,1),(38,1),(40,1),(51,1)}
      47:{3,4}:{(37,1),(50,1),(51,1),(52,1)}
      48:{2,3}:{(41,1),(42,1),(53,1)}
      49:{2,3,6}:{(43,1),(44,1),(45,1),(54,1),(57,1),(62,1)}
      50:{4}:{(45,1)}
      51:{1,4}:{(46,1),(47,1),(56,1)}
      52:{3,5}:{(47,1),(55,1),(56,1),(57,1)}
      53:{2,4}:{(48,1),(50,1),(58,1)}
      54:{4,6}:{(49,1),(50,1),(59,1)}
      55:{4,5}:{(50,1),(52,1),(58,1),(59,1),(60,1)}
      56:{1,5}:{(51,1),(52,1),(61,1)}
      57:{3,6}:{(52,1),(60,1),(61,1)}
      58:{2,5}:{(53,1),(55,1),(62,1)}
      59:{5}:{(54,1)}
      60:{4,6}:{(55,1),(57,1),(62,1),(63,1)}
      61:{1,6}:{(56,1),(57,1)}
      62:{2,6}:{(58,1),(60,1)}
      63:{5,6}:{(59,1),(60,1)}

143 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(34,1),(39,1),(58,1),(63,1),(64,1)}
       1:{4,5,6}:{(6,1),(7,1),(27,1),(68,1)}
       2:{3,4,6}:{(0,1),(7,1),(8,1),(9,1),(27,1),(52,1)}
       3:{2,3,5}:{(0,1),(8,1),(10,1),(11,1),(29,1),(30,1)}
       4:{1,4,5}:{(0,1),(5,1),(9,1),(10,1),(24,1),(47,1)}
       5:{1,3,5}:{(4,1),(12,1),(13,1),(63,1)}
       6:{2,5,6}:{(1,1),(15,1),(74,1)}
       7:{3,5,6}:{(1,1),(2,1),(17,1),(58,1)}
       8:{2,3,6}:{(2,1),(3,1),(18,1),(19,1)}
       9:{1,4,6}:{(2,1),(4,1),(13,1),(17,1),(18,1)}
      10:{1,2,5}:{(3,1),(4,1),(18,1),(20,1)}
      11:{2,4}:{(3,1),(64,1)}
      12:{1,3,4}:{(5,1),(21,1),(24,1),(71,1)}
      13:{1,3,6}:{(5,1),(9,1),(52,1)}
      14:{1,2,3,5}:{(5,1),(10,1),(21,1),(23,1),(24,1),(30,1),(43,1),(47,1),(48,1),(54,1)}
      15:{2,4,6}:{(6,1),(22,1),(25,1),(27,1),(72,1)}
      16:{2,3,5,6}:{(6,1),(7,1),(8,1),(25,1),(26,1),(27,1),(29,1),(51,1),(52,1),(54,1)}
      17:{1,5,6}:{(7,1),(9,1),(47,1)}
      18:{1,2,6}:{(8,1),(9,1),(10,1)}
      19:{2,4,6}:{(8,1),(11,1),(27,1),(29,1)}
      20:{1,2,4}:{(10,1),(11,1),(24,1),(30,1)}
      21:{1,2,3}:{(12,1),(31,1),(77,1)}
      22:{2,4,5}:{(15,1),(32,1),(39,1)}
      23:{1,2,3,6}:{(13,1),(14,1),(18,1),(33,1),(40,1),(56,1),(60,1)}
      24:{1,4}:{(14,1),(34,1),(64,1)}
      25:{2,3,6}:{(15,1),(32,1),(36,1),(37,1),(77,1)}
      26:{1,2,5,6}:{(16,1),(17,1),(18,1),(36,1),(38,1),(41,1),(62,1)}
      27:{4,6}:{(16,1),(39,1),(64,1)}
      28:{1,2,4,6}:{(18,1),(19,1),(20,1),(33,1),(38,1),(40,1),(41,1),(64,1)}
      29:{2,5}:{(19,1),(39,1)}
      30:{2,3}:{(20,1),(34,1)}
      31:{1,2,4}:{(21,1),(24,1),(42,1),(43,1),(72,1)}
      32:{2,3,5}:{(22,1),(25,1),(44,1),(45,1),(51,1)}
      33:{1,4,6}:{(23,1),(24,1),(46,1),(47,1)}
      34:{3,4}:{(24,1),(30,1),(48,1)}
      35:{1,4,5}:{(24,1),(43,1),(47,1),(48,1),(49,1),(65,1),(68,1)}
      36:{1,2,6}:{(25,1),(44,1),(50,1),(80,1)}
      37:{3,4,6}:{(25,1),(27,1),(45,1),(50,1),(51,1),(52,1),(71,1)}
      38:{1,4,6}:{(26,1),(27,1),(52,1),(53,1)}
      39:{4,5}:{(27,1),(29,1),(51,1)}
      40:{2,3,6}:{(28,1),(30,1),(46,1),(52,1),(54,1),(79,1)}
      41:{1,2,5}:{(28,1),(29,1),(47,1),(53,1),(54,1),(80,1)}
      42:{2,3,4}:{(31,1),(34,1),(55,1)}
      43:{1,2,5}:{(31,1),(35,1),(55,1),(56,1),(74,1)}
      44:{1,2,5}:{(32,1),(36,1),(57,1),(62,1)}
      45:{3,4}:{(32,1),(57,1)}
      46:{3,4,6}:{(33,1),(34,1),(40,1),(58,1),(60,1),(64,1),(75,1)}
      47:{1,5}:{(33,1),(58,1)}
      48:{3,5}:{(34,1),(35,1),(60,1)}
      49:{1,4,6}:{(35,1),(56,1),(59,1),(60,1),(73,1),(75,1)}
      50:{1,4,6}:{(36,1),(37,1),(57,1),(61,1),(62,1),(76,1)}
      51:{3,5}:{(37,1),(39,1),(62,1)}
      52:{3,6}:{(38,1),(63,1)}
      53:{1,4,5}:{(38,1),(39,1),(41,1),(62,1),(63,1),(64,1),(76,1)}
      54:{2,3,5}:{(40,1),(41,1),(58,1),(63,1),(64,1),(74,1),(77,1)}
      55:{2,3,5}:{(42,1),(43,1),(48,1),(65,1),(66,1)}
      56:{1,2,6}:{(43,1),(49,1),(66,1),(79,1)}
      57:{1,4}:{(44,1),(45,1),(67,1)}
      58:{3,5}:{(46,1),(47,1),(68,1)}
      59:{1,5,6}:{(47,1),(49,1),(69,1),(78,1)}
      60:{3,6}:{(48,1),(49,1)}
      61:{1,3,6}:{(50,1),(52,1),(67,1),(70,1)}
      62:{1,5}:{(50,1),(51,1)}
      63:{3,5}:{(52,1),(53,1),(71,1)}
      64:{4}:{(54,1)}
      65:{4,5}:{(55,1),(73,1)}
      66:{2,3,6}:{(55,1),(56,1),(60,1),(73,1)}
      67:{1,3}:{(57,1)}
      68:{4,5}:{(58,1),(64,1),(74,1),(75,1)}
      69:{3,5,6}:{(58,1),(59,1),(60,1),(75,1)}
      70:{1,3,5}:{(61,1),(62,1),(63,1),(76,1)}
      71:{3,4}:{(63,1),(64,1),(76,1),(77,1)}
      72:{2,4}:{(64,1),(74,1),(77,1)}
      73:{4,6}:{(65,1),(66,1),(78,1)}
      74:{2,5}:{(68,1),(72,1),(79,1)}
      75:{4,6}:{(68,1),(69,1),(79,1)}
      76:{1,4}:{(70,1),(71,1),(80,1)}
      77:{2,3}:{(71,1),(72,1),(80,1)}
      78:{5,6}:{(73,1)}
      79:{2,6}:{(74,1),(75,1)}
      80:{1,2}:{(76,1),(77,1)}

144 :  0:{4,5,6}:{(1,1),(2,1),(15,1),(73,1)}
       1:{2,5,6}:{(0,1),(4,1),(77,1)}
       2:{3,5,6}:{(0,1),(5,1),(7,1),(65,1)}
       3:{3,4,5}:{(5,1),(8,1),(9,1),(27,1),(49,1),(50,1),(65,1),(67,1)}
       4:{2,4,6}:{(1,1),(10,1),(11,1),(15,1),(75,1)}
       5:{3,4,6}:{(2,1),(3,1),(12,1),(13,1),(15,1),(38,1)}
       6:{2,3,5,6}:{(1,1),(2,1),(11,1),(12,1),(14,1),(15,1),(34,1),(37,1),(38,1),(58,1)}
       7:{1,5,6}:{(2,1),(13,1),(57,1)}
       8:{2,3,5}:{(3,1),(12,1),(17,1),(18,1),(37,1),(41,1)}
       9:{1,4,5}:{(3,1),(13,1),(16,1),(17,1),(40,1),(57,1)}
      10:{2,4,5}:{(4,1),(20,1),(27,1)}
      11:{2,3,6}:{(4,1),(20,1),(21,1),(22,1),(68,1)}
      12:{2,3,6}:{(5,1),(8,1),(24,1),(25,1)}
      13:{1,4,6}:{(5,1),(7,1),(9,1),(23,1),(24,1)}
      14:{1,2,5,6}:{(6,1),(7,1),(21,1),(24,1),(26,1),(45,1),(48,1)}
      15:{4,6}:{(6,1),(27,1),(67,1)}
      16:{1,3,5}:{(9,1),(19,1),(23,1),(49,1)}
      17:{1,2,5}:{(8,1),(9,1),(24,1),(29,1)}
      18:{2,4}:{(8,1),(67,1)}
      19:{1,3,4}:{(16,1),(30,1),(40,1),(59,1)}
      20:{2,3,5}:{(10,1),(11,1),(31,1),(32,1),(34,1)}
      21:{1,2,6}:{(11,1),(31,1),(33,1),(72,1)}
      22:{3,4,6}:{(11,1),(15,1),(32,1),(33,1),(34,1),(38,1),(59,1)}
      23:{1,3,6}:{(13,1),(16,1),(38,1)}
      24:{1,2,6}:{(12,1),(13,1),(17,1)}
      25:{2,4,6}:{(12,1),(15,1),(18,1),(37,1)}
      26:{1,4,6}:{(14,1),(15,1),(38,1),(39,1)}
      27:{4,5}:{(15,1),(34,1),(37,1)}
      28:{1,2,3,5}:{(16,1),(17,1),(30,1),(35,1),(40,1),(41,1),(53,1),(57,1),(58,1),(60,1)}
      29:{1,2,4}:{(17,1),(18,1),(40,1),(41,1)}
      30:{1,2,3}:{(19,1),(42,1),(68,1)}
      31:{1,2,5}:{(20,1),(21,1),(43,1),(45,1)}
      32:{3,4}:{(20,1),(43,1)}
      33:{1,4,6}:{(21,1),(22,1),(43,1),(44,1),(45,1),(64,1)}
      34:{3,5}:{(22,1),(27,1),(45,1)}
      35:{1,2,3,6}:{(23,1),(24,1),(28,1),(46,1),(47,1),(63,1),(69,1)}
      36:{1,2,4,6}:{(24,1),(25,1),(26,1),(29,1),(46,1),(47,1),(48,1),(67,1)}
      37:{2,5}:{(25,1),(27,1)}
      38:{3,6}:{(26,1),(49,1)}
      39:{1,4,5}:{(26,1),(27,1),(45,1),(48,1),(49,1),(64,1),(67,1)}
      40:{1,4}:{(28,1),(50,1),(67,1)}
      41:{2,3}:{(29,1),(50,1)}
      42:{1,2,4}:{(30,1),(40,1),(52,1),(53,1),(75,1)}
      43:{1,4}:{(31,1),(32,1),(54,1)}
      44:{1,3,6}:{(33,1),(38,1),(54,1),(55,1)}
      45:{1,5}:{(33,1),(34,1)}
      46:{1,4,6}:{(35,1),(40,1),(56,1),(57,1)}
      47:{2,3,6}:{(36,1),(38,1),(41,1),(56,1),(58,1),(80,1)}
      48:{1,2,5}:{(36,1),(37,1),(39,1),(57,1),(58,1),(72,1)}
      49:{3,5}:{(38,1),(39,1),(59,1)}
      50:{3,4}:{(40,1),(41,1),(60,1)}
      51:{1,4,5}:{(40,1),(53,1),(57,1),(60,1),(61,1),(70,1),(73,1)}
      52:{2,3,4}:{(42,1),(50,1),(62,1)}
      53:{1,2,5}:{(42,1),(51,1),(62,1),(63,1),(77,1)}
      54:{1,3}:{(43,1)}
      55:{1,3,5}:{(44,1),(45,1),(49,1),(64,1)}
      56:{3,4,6}:{(46,1),(47,1),(50,1),(65,1),(67,1),(69,1),(78,1)}
      57:{1,5}:{(46,1),(65,1)}
      58:{2,3,5}:{(47,1),(48,1),(49,1),(65,1),(67,1),(68,1),(77,1)}
      59:{3,4}:{(49,1),(64,1),(67,1),(68,1)}
      60:{3,5}:{(50,1),(51,1),(69,1)}
      61:{1,4,6}:{(51,1),(63,1),(66,1),(69,1),(76,1),(78,1)}
      62:{2,3,5}:{(52,1),(53,1),(60,1),(70,1),(71,1)}
      63:{1,2,6}:{(53,1),(61,1),(71,1),(80,1)}
      64:{1,4}:{(55,1),(59,1),(72,1)}
      65:{3,5}:{(56,1),(57,1),(73,1)}
      66:{1,5,6}:{(57,1),(61,1),(74,1),(79,1)}
      67:{4}:{(58,1)}
      68:{2,3}:{(59,1),(72,1),(75,1)}
      69:{3,6}:{(60,1),(61,1)}
      70:{4,5}:{(62,1),(76,1)}
      71:{2,3,6}:{(62,1),(63,1),(69,1),(76,1)}
      72:{1,2}:{(64,1),(68,1)}
      73:{4,5}:{(65,1),(67,1),(77,1),(78,1)}
      74:{3,5,6}:{(65,1),(66,1),(69,1),(78,1)}
      75:{2,4}:{(67,1),(68,1),(77,1)}
      76:{4,6}:{(70,1),(71,1),(79,1)}
      77:{2,5}:{(73,1),(75,1),(80,1)}
      78:{4,6}:{(73,1),(74,1),(80,1)}
      79:{5,6}:{(76,1)}
      80:{2,6}:{(77,1),(78,1)}

145 :  0:{1,4,5}:{(2,1),(3,1),(4,1),(15,1),(17,1),(37,1),(38,1),(40,1),(49,1)}
       1:{1,2,4}:{(2,1),(5,1),(17,1),(21,1),(49,1),(52,1),(62,1)}
       2:{1,2,5}:{(0,1),(1,1),(7,1),(8,1),(23,1),(31,1),(47,1)}
       3:{3,5}:{(0,1),(6,1),(10,1),(54,1)}
       4:{1,4,6}:{(0,1),(8,1),(10,1),(11,1),(29,1),(30,1)}
       5:{2,3}:{(1,1),(13,1),(54,1)}
       6:{3,4}:{(3,1),(14,1),(15,1),(17,1)}
       7:{2,3,5}:{(2,1),(3,1),(5,1),(14,1),(17,1),(18,1),(22,1),(34,1),(40,1)}
       8:{1,2,6}:{(2,1),(4,1),(18,1),(41,1),(42,1)}
       9:{1,3,5}:{(3,1),(15,1),(19,1),(37,1)}
      10:{3,6}:{(3,1),(4,1)}
      11:{1,5,6}:{(4,1),(20,1),(37,1),(40,1)}
      12:{1,2,3}:{(5,1),(21,1),(59,1),(62,1)}
      13:{3,4}:{(5,1),(17,1),(21,1),(22,1)}
      14:{2,3}:{(6,1),(23,1),(24,1)}
      15:{1,4}:{(6,1),(9,1),(23,1)}
      16:{3,4,6}:{(6,1),(10,1),(25,1),(26,1),(27,1),(29,1),(30,1),(46,1),(54,1)}
      17:{4}:{(7,1)}
      18:{2,3,6}:{(7,1),(8,1),(10,1),(29,1),(32,1),(44,1)}
      19:{1,3,6}:{(9,1),(10,1),(26,1),(54,1)}
      20:{3,5,6}:{(10,1),(11,1),(27,1),(30,1)}
      21:{1,4}:{(12,1),(13,1),(31,1)}
      22:{3,5}:{(13,1),(28,1),(31,1),(32,1)}
      23:{1,2}:{(14,1),(15,1)}
      24:{2,4}:{(14,1),(17,1),(34,1)}
      25:{2,3,6}:{(14,1),(16,1),(33,1),(35,1),(36,1),(41,1),(60,1)}
      26:{1,4,6}:{(15,1),(16,1),(19,1),(33,1),(37,1),(49,1)}
      27:{3,5}:{(16,1),(37,1),(38,1),(40,1)}
      28:{4,5}:{(17,1),(22,1),(34,1),(39,1),(40,1)}
      29:{4,6}:{(17,1),(18,1),(40,1)}
      30:{4,6}:{(20,1),(38,1),(41,1)}
      31:{1,5}:{(21,1),(22,1),(42,1)}
      32:{3,6}:{(22,1),(39,1),(42,1)}
      33:{1,2,6}:{(23,1),(25,1),(26,1),(43,1),(63,1)}
      34:{2,5}:{(24,1),(28,1),(44,1)}
      35:{2,4,6}:{(24,1),(25,1),(29,1),(44,1),(45,1),(46,1),(55,1)}
      36:{2,3,5}:{(25,1),(27,1),(43,1),(45,1),(46,1),(47,1),(54,1),(56,1),(57,1)}
      37:{1,5}:{(26,1),(27,1)}
      38:{4,5}:{(27,1),(30,1),(46,1),(47,1)}
      39:{4,6}:{(28,1),(32,1),(44,1),(48,1)}
      40:{5}:{(29,1)}
      41:{2,6}:{(30,1),(47,1)}
      42:{1,6}:{(31,1),(32,1)}
      43:{1,2,5}:{(33,1),(36,1),(37,1),(49,1),(61,1),(62,1)}
      44:{2,6}:{(34,1),(39,1)}
      45:{2,5}:{(35,1),(40,1),(51,1)}
      46:{4}:{(36,1)}
      47:{2,5}:{(38,1),(41,1),(52,1)}
      48:{5,6}:{(39,1),(40,1)}
      49:{1,4}:{(43,1),(46,1),(54,1)}
      50:{2,5,6}:{(44,1),(45,1),(48,1),(55,1)}
      51:{4,5}:{(45,1),(46,1),(55,1),(56,1)}
      52:{2,4}:{(46,1),(47,1),(57,1)}
      53:{3,4}:{(46,1),(54,1),(56,1),(57,1),(58,1)}
      54:{3}:{(49,1)}
      55:{4,6}:{(50,1),(51,1),(60,1)}
      56:{3,5}:{(51,1),(53,1),(60,1),(61,1)}
      57:{2,3}:{(52,1),(53,1),(62,1)}
      58:{1,4}:{(53,1),(59,1),(61,1),(62,1)}
      59:{1,3}:{(54,1),(58,1)}
      60:{3,6}:{(55,1),(56,1),(63,1)}
      61:{1,5}:{(56,1),(58,1),(63,1)}
      62:{1,2}:{(57,1),(58,1)}
      63:{1,6}:{(60,1),(61,1)}

146 :  0:{2,4,6}:{(2,1),(3,1),(15,1),(19,1),(49,1),(50,1),(59,1)}
       1:{3,4,6}:{(2,1),(4,1),(5,1),(17,1),(19,1),(34,1),(37,1),(39,1),(50,1)}
       2:{2,3,6}:{(0,1),(1,1),(9,1),(10,1),(24,1),(26,1),(43,1)}
       3:{2,5}:{(0,1),(11,1),(55,1)}
       4:{1,4,6}:{(1,1),(6,1),(9,1),(12,1),(23,1),(27,1)}
       5:{3,5}:{(1,1),(12,1),(13,1),(55,1)}
       6:{1,3,6}:{(4,1),(14,1),(37,1),(39,1)}
       7:{2,5,6}:{(3,1),(15,1),(59,1),(60,1)}
       8:{3,5,6}:{(5,1),(16,1),(17,1),(37,1)}
       9:{1,2,6}:{(2,1),(4,1),(18,1),(33,1),(35,1)}
      10:{2,3,5}:{(2,1),(3,1),(5,1),(18,1),(19,1),(20,1),(22,1),(39,1),(40,1)}
      11:{4,5}:{(3,1),(15,1),(19,1),(20,1)}
      12:{1,5}:{(4,1),(5,1)}
      13:{4,5}:{(5,1),(17,1),(19,1),(22,1)}
      14:{1,3,5}:{(6,1),(12,1),(23,1),(32,1)}
      15:{4,6}:{(7,1),(11,1),(24,1)}
      16:{1,5,6}:{(8,1),(12,1),(25,1),(55,1)}
      17:{4,6}:{(8,1),(13,1),(26,1)}
      18:{1,2,5}:{(9,1),(10,1),(12,1),(27,1),(30,1),(47,1)}
      19:{4}:{(10,1)}
      20:{3,5}:{(11,1),(24,1),(29,1),(30,1)}
      21:{1,4,5}:{(12,1),(13,1),(23,1),(25,1),(27,1),(31,1),(32,1),(48,1),(55,1)}
      22:{2,5}:{(13,1),(26,1),(28,1)}
      23:{1,4}:{(14,1),(33,1),(34,1)}
      24:{3,6}:{(15,1),(20,1),(35,1)}
      25:{1,4,6}:{(16,1),(17,1),(21,1),(36,1),(37,1),(50,1)}
      26:{2,6}:{(17,1),(22,1)}
      27:{1,4}:{(18,1),(19,1),(39,1)}
      28:{2,4}:{(19,1),(22,1),(40,1)}
      29:{3,4}:{(19,1),(20,1),(39,1),(40,1),(41,1)}
      30:{1,5}:{(20,1),(35,1),(41,1)}
      31:{1,2,5}:{(21,1),(22,1),(33,1),(36,1),(38,1),(42,1),(61,1)}
      32:{3,5}:{(21,1),(34,1),(37,1),(39,1)}
      33:{1,2}:{(23,1),(43,1)}
      34:{3,4}:{(23,1),(32,1),(43,1),(48,1)}
      35:{1,6}:{(24,1),(30,1)}
      36:{1,2,6}:{(25,1),(26,1),(31,1),(44,1),(63,1)}
      37:{3,6}:{(25,1),(32,1)}
      38:{1,2,4}:{(27,1),(28,1),(31,1),(45,1),(47,1),(48,1),(56,1)}
      39:{3}:{(27,1)}
      40:{2,3}:{(28,1),(29,1),(47,1)}
      41:{1,4}:{(29,1),(30,1),(46,1),(47,1)}
      42:{2,3,5}:{(31,1),(32,1),(43,1),(44,1),(45,1),(48,1),(54,1),(55,1),(57,1)}
      43:{2,3}:{(33,1),(34,1),(49,1)}
      44:{2,3,6}:{(36,1),(37,1),(42,1),(50,1),(59,1),(62,1)}
      45:{2,3}:{(38,1),(39,1),(52,1)}
      46:{1,3}:{(39,1),(41,1)}
      47:{1,2}:{(40,1),(41,1)}
      48:{4}:{(42,1)}
      49:{2,4}:{(43,1),(48,1),(54,1)}
      50:{4,6}:{(44,1),(48,1),(55,1)}
      51:{1,2,3}:{(45,1),(46,1),(47,1),(56,1)}
      52:{3,4}:{(45,1),(48,1),(56,1),(57,1)}
      53:{4,5}:{(48,1),(54,1),(55,1),(57,1),(58,1)}
      54:{2,5}:{(49,1),(53,1),(59,1)}
      55:{5}:{(50,1)}
      56:{1,4}:{(51,1),(52,1),(61,1)}
      57:{3,5}:{(52,1),(53,1),(61,1),(62,1)}
      58:{4,6}:{(53,1),(59,1),(60,1),(62,1)}
      59:{2,6}:{(54,1),(58,1)}
      60:{5,6}:{(55,1),(58,1)}
      61:{1,5}:{(56,1),(57,1),(63,1)}
      62:{3,6}:{(57,1),(58,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

147 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

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

149 :  0:{1,3,4}:{(2,1),(3,1),(17,1),(71,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(28,1),(47,1),(51,1),(62,1),(63,1)}
       2:{1,3,5}:{(0,1),(6,1),(9,1),(63,1)}
       3:{1,2,3}:{(0,1),(10,1),(76,1)}
       4:{2,3,4}:{(10,1),(11,1),(28,1)}
       5:{2,3,5}:{(1,1),(12,1),(13,1),(14,1),(33,1),(36,1)}
       6:{1,4,5}:{(1,1),(2,1),(12,1),(15,1),(17,1),(42,1)}
       7:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(37,1),(55,1)}
       8:{1,2,3,5}:{(2,1),(3,1),(12,1),(17,1),(18,1),(20,1),(33,1),(39,1),(42,1),(53,1)}
       9:{1,3,6}:{(2,1),(15,1),(55,1)}
      10:{1,2,4}:{(3,1),(4,1),(17,1),(20,1),(70,1)}
      11:{2,3,5}:{(4,1),(19,1),(20,1),(21,1),(39,1)}
      12:{1,2,5}:{(5,1),(6,1),(22,1),(23,1)}
      13:{2,4}:{(5,1),(62,1)}
      14:{2,3,6}:{(5,1),(7,1),(23,1),(24,1)}
      15:{1,4,6}:{(6,1),(7,1),(9,1),(23,1),(26,1)}
      16:{3,5,6}:{(7,1),(26,1),(27,1),(51,1)}
      17:{1,4}:{(8,1),(28,1),(62,1)}
      18:{1,2,3,6}:{(8,1),(9,1),(23,1),(30,1),(32,1),(44,1),(50,1)}
      19:{4,5}:{(11,1),(31,1)}
      20:{1,2,5}:{(10,1),(11,1),(29,1),(32,1),(69,1)}
      21:{2,3,6}:{(11,1),(31,1),(32,1),(50,1)}
      22:{1,2,4}:{(12,1),(13,1),(17,1),(33,1)}
      23:{1,2,6}:{(12,1),(14,1),(15,1)}
      24:{2,4,6}:{(13,1),(14,1),(36,1),(37,1)}
      25:{2,3,5,6}:{(14,1),(16,1),(35,1),(36,1),(37,1),(38,1),(53,1),(55,1),(57,1),(58,1)}
      26:{1,5,6}:{(15,1),(16,1),(42,1)}
      27:{4,5,6}:{(16,1),(37,1),(38,1),(61,1)}
      28:{3,4}:{(17,1),(33,1),(39,1)}
      29:{1,4,5}:{(17,1),(19,1),(20,1),(39,1),(41,1),(42,1),(61,1)}
      30:{1,4,6}:{(17,1),(18,1),(40,1),(42,1)}
      31:{4,6}:{(19,1),(21,1),(43,1)}
      32:{1,2,6}:{(20,1),(21,1),(41,1),(75,1)}
      33:{2,3}:{(22,1),(28,1)}
      34:{1,2,4,6}:{(22,1),(23,1),(24,1),(30,1),(44,1),(45,1),(46,1),(62,1)}
      35:{1,2,5,6}:{(23,1),(25,1),(26,1),(45,1),(46,1),(66,1),(67,1)}
      36:{2,5}:{(24,1),(47,1)}
      37:{4,6}:{(25,1),(47,1),(62,1)}
      38:{2,5,6}:{(27,1),(48,1),(69,1)}
      39:{3,5}:{(28,1),(29,1),(50,1)}
      40:{3,4,6}:{(28,1),(30,1),(44,1),(50,1),(51,1),(62,1),(68,1)}
      41:{1,4,6}:{(29,1),(31,1),(32,1),(50,1),(52,1),(68,1)}
      42:{1,5}:{(30,1),(51,1)}
      43:{5,6}:{(31,1)}
      44:{2,3,6}:{(33,1),(34,1),(40,1),(53,1),(55,1),(75,1)}
      45:{1,2,5}:{(34,1),(36,1),(42,1),(53,1),(54,1),(79,1)}
      46:{1,4,6}:{(35,1),(37,1),(54,1),(55,1)}
      47:{4,5}:{(36,1),(37,1),(57,1)}
      48:{2,4,6}:{(37,1),(38,1),(56,1),(58,1),(70,1)}
      49:{3,4,6}:{(37,1),(55,1),(57,1),(58,1),(59,1),(71,1),(74,1)}
      50:{3,6}:{(39,1),(41,1)}
      51:{3,5}:{(40,1),(42,1),(61,1)}
      52:{1,5,6}:{(41,1),(42,1),(43,1),(60,1)}
      53:{2,3,5}:{(44,1),(45,1),(51,1),(62,1),(63,1),(69,1),(76,1)}
      54:{1,4,5}:{(45,1),(46,1),(47,1),(62,1),(63,1),(66,1),(77,1)}
      55:{3,6}:{(46,1),(63,1)}
      56:{2,4,5}:{(47,1),(48,1),(65,1)}
      57:{3,5}:{(47,1),(49,1),(66,1)}
      58:{2,3,6}:{(48,1),(49,1),(65,1),(67,1),(76,1)}
      59:{1,4,6}:{(49,1),(64,1),(66,1),(67,1),(77,1),(78,1)}
      60:{3,5,6}:{(50,1),(51,1),(52,1),(68,1)}
      61:{4,5}:{(51,1),(62,1),(68,1),(69,1)}
      62:{4}:{(53,1)}
      63:{3,5}:{(54,1),(55,1),(71,1)}
      64:{1,3,6}:{(55,1),(59,1),(72,1),(80,1)}
      65:{2,3,5}:{(56,1),(57,1),(58,1),(73,1),(74,1)}
      66:{1,5}:{(57,1),(59,1)}
      67:{1,2,6}:{(58,1),(59,1),(73,1),(79,1)}
      68:{4,6}:{(60,1),(61,1),(75,1)}
      69:{2,5}:{(61,1),(70,1),(75,1)}
      70:{2,4}:{(62,1),(69,1),(76,1)}
      71:{3,4}:{(62,1),(63,1),(76,1),(77,1)}
      72:{1,3,5}:{(63,1),(64,1),(66,1),(77,1)}
      73:{1,2,5}:{(65,1),(66,1),(67,1),(78,1)}
      74:{3,4}:{(65,1),(78,1)}
      75:{2,6}:{(68,1),(69,1)}
      76:{2,3}:{(70,1),(71,1),(79,1)}
      77:{1,4}:{(71,1),(72,1),(79,1)}
      78:{1,4}:{(73,1),(74,1),(80,1)}
      79:{1,2}:{(76,1),(77,1)}
      80:{1,3}:{(78,1)}

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

151 :  0:{2,4,5}:{(1,1),(2,1),(21,1)}
       1:{2,3,5}:{(0,1),(3,1),(4,1),(5,1),(15,1)}
       2:{2,4,6}:{(0,1),(5,1),(6,1),(16,1),(57,1)}
       3:{1,2,5}:{(1,1),(7,1),(8,1),(19,1)}
       4:{3,4}:{(1,1),(7,1)}
       5:{2,3,6}:{(1,1),(2,1),(8,1),(9,1),(49,1)}
       6:{2,5,6}:{(2,1),(11,1),(64,1)}
       7:{1,4}:{(3,1),(4,1),(12,1)}
       8:{1,2,6}:{(3,1),(5,1),(13,1),(41,1)}
       9:{3,4,6}:{(4,1),(5,1),(13,1),(15,1),(16,1),(28,1),(42,1)}
      10:{2,3,5,6}:{(5,1),(6,1),(14,1),(15,1),(16,1),(17,1),(28,1),(29,1),(31,1),(43,1)}
      11:{4,5,6}:{(6,1),(16,1),(17,1),(59,1)}
      12:{1,3}:{(7,1)}
      13:{1,4,6}:{(7,1),(8,1),(9,1),(18,1),(19,1),(33,1)}
      14:{1,2,5,6}:{(8,1),(10,1),(19,1),(20,1),(24,1),(34,1),(40,1)}
      15:{3,5}:{(9,1),(19,1),(21,1)}
      16:{4,6}:{(10,1),(21,1),(52,1)}
      17:{3,5,6}:{(11,1),(23,1),(24,1),(54,1)}
      18:{1,3,6}:{(12,1),(13,1),(25,1),(28,1)}
      19:{1,5}:{(13,1),(15,1)}
      20:{1,4,6}:{(14,1),(16,1),(26,1),(28,1)}
      21:{4,5}:{(15,1),(16,1),(29,1)}
      22:{2,4,6}:{(16,1),(29,1),(31,1),(48,1)}
      23:{3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1),(32,1)}
      24:{1,5,6}:{(17,1),(32,1),(60,1)}
      25:{1,3,5}:{(18,1),(19,1),(33,1),(35,1)}
      26:{1,4,5}:{(19,1),(20,1),(21,1),(33,1),(34,1),(35,1),(52,1)}
      27:{1,2,4,6}:{(20,1),(22,1),(34,1),(36,1),(40,1),(52,1),(53,1),(55,1)}
      28:{3,6}:{(20,1),(35,1)}
      29:{2,5}:{(21,1),(22,1)}
      30:{3,4,5}:{(21,1),(23,1),(35,1),(38,1),(39,1),(52,1),(54,1),(65,1)}
      31:{2,3,6}:{(22,1),(23,1),(38,1),(40,1)}
      32:{1,4,6}:{(23,1),(24,1),(37,1),(39,1),(40,1)}
      33:{1,4}:{(25,1),(41,1),(42,1)}
      34:{1,2,5}:{(26,1),(27,1),(29,1),(41,1),(43,1),(60,1)}
      35:{3,5}:{(26,1),(28,1),(42,1)}
      36:{2,3,6}:{(27,1),(28,1),(43,1),(46,1),(62,1),(71,1)}
      37:{1,3,6}:{(28,1),(32,1),(44,1)}
      38:{2,3,5}:{(29,1),(30,1),(31,1),(47,1),(48,1),(62,1)}
      39:{1,4,5}:{(30,1),(32,1),(44,1),(47,1),(58,1),(60,1)}
      40:{1,2,6}:{(31,1),(32,1),(47,1)}
      41:{1,2}:{(33,1),(49,1)}
      42:{3,4}:{(33,1),(35,1),(49,1),(52,1)}
      43:{2,3,5}:{(34,1),(35,1),(36,1),(49,1),(52,1),(54,1),(64,1)}
      44:{1,3,5}:{(35,1),(37,1),(39,1),(50,1)}
      45:{1,2,3,6}:{(36,1),(37,1),(40,1),(51,1),(53,1),(75,1),(76,1)}
      46:{3,4,6}:{(36,1),(52,1),(53,1),(54,1),(65,1),(67,1),(76,1)}
      47:{1,2,5}:{(38,1),(39,1),(40,1),(55,1)}
      48:{2,4}:{(38,1),(52,1)}
      49:{2,3}:{(41,1),(42,1),(57,1)}
      50:{1,3,4}:{(42,1),(44,1),(56,1),(58,1)}
      51:{1,2,3,5}:{(43,1),(44,1),(45,1),(47,1),(56,1),(58,1),(60,1),(62,1),(70,1),(72,1)}
      52:{4}:{(43,1)}
      53:{1,4,6}:{(45,1),(46,1),(58,1),(60,1)}
      54:{3,5}:{(46,1),(59,1),(60,1)}
      55:{1,2,4}:{(47,1),(48,1),(58,1),(62,1)}
      56:{1,2,3}:{(49,1),(50,1),(63,1)}
      57:{2,4}:{(49,1),(52,1),(64,1)}
      58:{1,4}:{(51,1),(52,1),(65,1)}
      59:{4,5}:{(52,1),(54,1),(64,1),(67,1)}
      60:{1,5}:{(53,1),(54,1)}
      61:{3,5,6}:{(54,1),(67,1),(68,1),(76,1)}
      62:{2,3}:{(55,1),(65,1)}
      63:{1,2,4}:{(56,1),(57,1),(58,1),(69,1),(70,1)}
      64:{2,5}:{(57,1),(59,1),(71,1)}
      65:{3,4}:{(58,1),(62,1),(72,1)}
      66:{1,4,5}:{(58,1),(59,1),(60,1),(70,1),(72,1),(73,1),(77,1)}
      67:{4,6}:{(59,1),(61,1),(71,1)}
      68:{1,5,6}:{(60,1),(61,1),(73,1),(80,1)}
      69:{2,3,4}:{(63,1),(65,1),(74,1)}
      70:{1,2,5}:{(63,1),(64,1),(66,1),(74,1),(75,1)}
      71:{2,6}:{(64,1),(67,1)}
      72:{3,5}:{(65,1),(66,1),(76,1)}
      73:{1,4,6}:{(66,1),(67,1),(68,1),(75,1),(76,1),(79,1)}
      74:{2,3,5}:{(69,1),(70,1),(72,1),(77,1),(78,1)}
      75:{1,2,6}:{(70,1),(71,1),(73,1),(78,1)}
      76:{3,6}:{(72,1),(73,1)}
      77:{4,5}:{(74,1),(79,1)}
      78:{2,3,6}:{(74,1),(75,1),(76,1),(79,1)}
      79:{4,6}:{(77,1),(78,1),(80,1)}
      80:{5,6}:{(79,1)}

152 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(31,1),(37,1),(56,1),(58,1),(59,1)}
       1:{2,3,5}:{(0,1),(6,1),(7,1),(8,1),(23,1),(26,1)}
       2:{1,4,5}:{(0,1),(5,1),(6,1),(9,1),(21,1),(45,1)}
       3:{3,4,6}:{(0,1),(8,1),(9,1),(10,1),(27,1),(48,1)}
       4:{1,3,4}:{(5,1),(11,1),(21,1),(68,1)}
       5:{1,3,5}:{(2,1),(4,1),(13,1),(59,1)}
       6:{1,2,5}:{(1,1),(2,1),(14,1),(15,1)}
       7:{2,4}:{(1,1),(58,1)}
       8:{2,3,6}:{(1,1),(3,1),(15,1),(16,1)}
       9:{1,4,6}:{(2,1),(3,1),(13,1),(15,1),(18,1)}
      10:{3,5,6}:{(3,1),(18,1),(19,1),(56,1)}
      11:{1,2,3}:{(4,1),(20,1),(75,1)}
      12:{1,2,3,5}:{(5,1),(6,1),(11,1),(21,1),(22,1),(23,1),(30,1),(42,1),(45,1),(46,1)}
      13:{1,3,6}:{(5,1),(9,1),(48,1)}
      14:{1,2,4}:{(6,1),(7,1),(21,1),(23,1)}
      15:{1,2,6}:{(6,1),(8,1),(9,1)}
      16:{2,4,6}:{(7,1),(8,1),(26,1),(27,1)}
      17:{2,3,5,6}:{(8,1),(10,1),(25,1),(26,1),(27,1),(28,1),(46,1),(48,1),(50,1),(51,1)}
      18:{1,5,6}:{(9,1),(10,1),(45,1)}
      19:{4,5,6}:{(10,1),(27,1),(28,1),(66,1)}
      20:{1,2,4}:{(11,1),(21,1),(29,1),(30,1),(67,1)}
      21:{1,4}:{(12,1),(31,1),(58,1)}
      22:{1,2,3,6}:{(12,1),(13,1),(15,1),(33,1),(34,1),(41,1),(55,1)}
      23:{2,3}:{(14,1),(31,1)}
      24:{1,2,4,6}:{(14,1),(15,1),(16,1),(33,1),(34,1),(35,1),(36,1),(58,1)}
      25:{1,2,5,6}:{(15,1),(17,1),(18,1),(35,1),(36,1),(62,1),(63,1)}
      26:{2,5}:{(16,1),(37,1)}
      27:{4,6}:{(17,1),(37,1),(58,1)}
      28:{2,5,6}:{(19,1),(38,1),(74,1)}
      29:{2,3,4}:{(20,1),(31,1),(40,1)}
      30:{1,2,5}:{(20,1),(32,1),(40,1),(41,1),(74,1)}
      31:{3,4}:{(21,1),(23,1),(42,1)}
      32:{1,4,5}:{(21,1),(30,1),(42,1),(44,1),(45,1),(53,1),(66,1)}
      33:{1,4,6}:{(21,1),(22,1),(43,1),(45,1)}
      34:{2,3,6}:{(23,1),(24,1),(43,1),(46,1),(48,1),(78,1)}
      35:{1,2,5}:{(24,1),(26,1),(45,1),(46,1),(47,1),(79,1)}
      36:{1,4,6}:{(25,1),(27,1),(47,1),(48,1)}
      37:{4,5}:{(26,1),(27,1),(50,1)}
      38:{2,4,6}:{(27,1),(28,1),(49,1),(51,1),(67,1)}
      39:{3,4,6}:{(27,1),(48,1),(50,1),(51,1),(52,1),(68,1),(71,1)}
      40:{2,3,5}:{(29,1),(30,1),(42,1),(53,1),(54,1)}
      41:{1,2,6}:{(30,1),(44,1),(54,1),(78,1)}
      42:{3,5}:{(31,1),(32,1),(55,1)}
      43:{3,4,6}:{(31,1),(33,1),(34,1),(55,1),(56,1),(58,1),(73,1)}
      44:{1,4,6}:{(32,1),(41,1),(55,1),(57,1),(64,1),(73,1)}
      45:{1,5}:{(33,1),(56,1)}
      46:{2,3,5}:{(34,1),(35,1),(56,1),(58,1),(59,1),(74,1),(75,1)}
      47:{1,4,5}:{(35,1),(36,1),(37,1),(58,1),(59,1),(62,1),(76,1)}
      48:{3,6}:{(36,1),(59,1)}
      49:{2,4,5}:{(37,1),(38,1),(61,1)}
      50:{3,5}:{(37,1),(39,1),(62,1)}
      51:{2,3,6}:{(38,1),(39,1),(61,1),(63,1),(75,1)}
      52:{1,4,6}:{(39,1),(60,1),(62,1),(63,1),(76,1),(77,1)}
      53:{4,5}:{(40,1),(64,1)}
      54:{2,3,6}:{(40,1),(41,1),(55,1),(64,1)}
      55:{3,6}:{(42,1),(44,1)}
      56:{3,5}:{(43,1),(45,1),(66,1)}
      57:{1,5,6}:{(44,1),(45,1),(65,1),(72,1)}
      58:{4}:{(46,1)}
      59:{3,5}:{(47,1),(48,1),(68,1)}
      60:{1,3,6}:{(48,1),(52,1),(69,1),(80,1)}
      61:{2,3,5}:{(49,1),(50,1),(51,1),(70,1),(71,1)}
      62:{1,5}:{(50,1),(52,1)}
      63:{1,2,6}:{(51,1),(52,1),(70,1),(79,1)}
      64:{4,6}:{(53,1),(54,1),(72,1)}
      65:{3,5,6}:{(55,1),(56,1),(57,1),(73,1)}
      66:{4,5}:{(56,1),(58,1),(73,1),(74,1)}
      67:{2,4}:{(58,1),(74,1),(75,1)}
      68:{3,4}:{(58,1),(59,1),(75,1),(76,1)}
      69:{1,3,5}:{(59,1),(60,1),(62,1),(76,1)}
      70:{1,2,5}:{(61,1),(62,1),(63,1),(77,1)}
      71:{3,4}:{(61,1),(77,1)}
      72:{5,6}:{(64,1)}
      73:{4,6}:{(65,1),(66,1),(78,1)}
      74:{2,5}:{(66,1),(67,1),(78,1)}
      75:{2,3}:{(67,1),(68,1),(79,1)}
      76:{1,4}:{(68,1),(69,1),(79,1)}
      77:{1,4}:{(70,1),(71,1),(80,1)}
      78:{2,6}:{(73,1),(74,1)}
      79:{1,2}:{(75,1),(76,1)}
      80:{1,3}:{(77,1)}

153 :  0:{2,3,4}:{(1,1),(2,1),(23,1)}
       1:{1,2,4}:{(0,1),(5,1),(6,1),(18,1),(64,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1),(15,1)}
       3:{1,3,4}:{(5,1),(8,1),(18,1),(65,1)}
       4:{4,5}:{(2,1),(10,1)}
       5:{1,2,3}:{(1,1),(3,1),(71,1)}
       6:{1,2,5}:{(1,1),(2,1),(9,1),(12,1),(58,1)}
       7:{2,3,6}:{(2,1),(10,1),(12,1),(24,1)}
       8:{1,3,5}:{(3,1),(13,1),(14,1),(59,1)}
       9:{1,4,5}:{(4,1),(6,1),(15,1),(16,1),(18,1),(36,1),(50,1)}
      10:{4,6}:{(4,1),(7,1),(17,1)}
      11:{1,2,3,5}:{(5,1),(6,1),(8,1),(15,1),(18,1),(19,1),(21,1),(32,1),(36,1),(49,1)}
      12:{1,2,6}:{(6,1),(7,1),(16,1),(51,1)}
      13:{1,4,5}:{(8,1),(18,1),(20,1),(21,1),(22,1),(36,1)}
      14:{1,3,6}:{(8,1),(22,1),(56,1)}
      15:{3,5}:{(9,1),(23,1),(24,1)}
      16:{1,4,6}:{(9,1),(10,1),(12,1),(24,1),(25,1),(43,1)}
      17:{5,6}:{(10,1)}
      18:{1,4}:{(11,1),(23,1),(57,1)}
      19:{1,2,3,6}:{(11,1),(12,1),(14,1),(24,1),(27,1),(30,1),(41,1)}
      20:{3,4,5}:{(13,1),(23,1),(28,1),(29,1),(42,1),(57,1),(59,1),(60,1)}
      21:{1,2,5}:{(13,1),(26,1),(28,1),(30,1)}
      22:{1,4,6}:{(13,1),(14,1),(29,1),(30,1),(31,1)}
      23:{3,4}:{(15,1),(18,1),(32,1)}
      24:{3,6}:{(15,1),(16,1)}
      25:{1,5,6}:{(16,1),(17,1),(34,1),(36,1)}
      26:{1,2,4}:{(18,1),(21,1),(32,1),(37,1)}
      27:{1,4,6}:{(18,1),(19,1),(33,1),(36,1)}
      28:{2,3,5}:{(20,1),(21,1),(32,1),(37,1),(38,1),(53,1)}
      29:{3,4,6}:{(20,1),(22,1),(38,1),(39,1),(54,1),(56,1)}
      30:{1,2,6}:{(21,1),(22,1),(38,1)}
      31:{1,5,6}:{(22,1),(36,1),(39,1)}
      32:{2,3}:{(23,1),(26,1)}
      33:{3,4,6}:{(23,1),(24,1),(27,1),(41,1),(42,1),(43,1),(57,1)}
      34:{3,5,6}:{(24,1),(25,1),(42,1),(43,1)}
      35:{1,2,4,6}:{(26,1),(27,1),(30,1),(41,1),(44,1),(45,1),(48,1),(57,1)}
      36:{1,5}:{(27,1),(42,1)}
      37:{2,4}:{(28,1),(57,1)}
      38:{2,3,6}:{(28,1),(29,1),(30,1),(45,1)}
      39:{3,5,6}:{(29,1),(31,1),(42,1),(47,1)}
      40:{1,2,5,6}:{(30,1),(31,1),(44,1),(46,1),(48,1),(74,1),(75,1)}
      41:{2,3,6}:{(32,1),(33,1),(35,1),(49,1),(51,1),(56,1)}
      42:{3,5}:{(33,1),(36,1),(50,1)}
      43:{4,6}:{(34,1),(50,1),(51,1)}
      44:{1,2,5}:{(35,1),(36,1),(49,1),(52,1),(53,1),(76,1)}
      45:{2,4,6}:{(37,1),(38,1),(53,1),(54,1)}
      46:{2,3,5,6}:{(38,1),(39,1),(40,1),(49,1),(53,1),(54,1),(55,1),(56,1),(68,1),(69,1)}
      47:{4,5,6}:{(39,1),(50,1),(54,1),(55,1)}
      48:{1,4,6}:{(40,1),(52,1),(54,1),(56,1)}
      49:{2,3,5}:{(41,1),(42,1),(44,1),(57,1),(58,1),(59,1),(71,1)}
      50:{4,5}:{(42,1),(43,1),(57,1),(58,1)}
      51:{2,6}:{(43,1),(58,1)}
      52:{1,4,5}:{(44,1),(48,1),(57,1),(59,1),(60,1),(72,1),(74,1)}
      53:{2,5}:{(45,1),(60,1)}
      54:{4,6}:{(46,1),(57,1),(60,1)}
      55:{2,5,6}:{(47,1),(58,1),(61,1)}
      56:{3,6}:{(48,1),(59,1)}
      57:{4}:{(49,1)}
      58:{2,5}:{(50,1),(51,1),(64,1)}
      59:{3,5}:{(52,1),(56,1),(65,1)}
      60:{4,5}:{(53,1),(54,1),(68,1)}
      61:{2,4,6}:{(54,1),(55,1),(64,1),(67,1),(69,1)}
      62:{3,4,6}:{(54,1),(56,1),(65,1),(68,1),(69,1),(70,1),(78,1)}
      63:{1,3,6}:{(56,1),(66,1),(70,1),(80,1)}
      64:{2,4}:{(57,1),(58,1),(71,1)}
      65:{3,4}:{(57,1),(59,1),(71,1),(72,1)}
      66:{1,3,5}:{(59,1),(63,1),(72,1),(74,1)}
      67:{2,4,5}:{(60,1),(61,1),(73,1)}
      68:{3,5}:{(60,1),(62,1),(74,1)}
      69:{2,3,6}:{(61,1),(62,1),(71,1),(73,1),(75,1)}
      70:{1,4,6}:{(62,1),(63,1),(72,1),(74,1),(75,1),(79,1)}
      71:{2,3}:{(64,1),(65,1),(76,1)}
      72:{1,4}:{(65,1),(66,1),(76,1)}
      73:{2,3,5}:{(67,1),(68,1),(69,1),(77,1),(78,1)}
      74:{1,5}:{(68,1),(70,1)}
      75:{1,2,6}:{(69,1),(70,1),(76,1),(77,1)}
      76:{1,2}:{(71,1),(72,1)}
      77:{1,2,5}:{(73,1),(74,1),(75,1),(79,1)}
      78:{3,4}:{(73,1),(79,1)}
      79:{1,4}:{(77,1),(78,1),(80,1)}
      80:{1,3}:{(79,1)}

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

155 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

156 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(8,1),(10,1),(13,1),(23,1),(40,1),(52,1),(56,1),(59,1)}
       1:{1,4}:{(0,1),(4,1),(30,1)}
       2:{1,2,3,6}:{(0,1),(6,1),(15,1),(16,1),(18,1),(47,1),(55,1)}
       3:{1,2,4}:{(1,1),(7,1),(8,1),(21,1),(37,1),(52,1)}
       4:{3,4}:{(1,1),(7,1),(10,1),(21,1),(59,1)}
       5:{1,4,5}:{(1,1),(8,1),(10,1),(12,1),(13,1),(21,1),(27,1),(35,1)}
       6:{1,4,6}:{(1,1),(2,1),(11,1),(13,1)}
       7:{2,3}:{(3,1),(4,1)}
       8:{1,2,5}:{(3,1),(5,1),(14,1),(16,1),(34,1)}
       9:{1,2,4,6}:{(3,1),(6,1),(15,1),(16,1),(17,1),(28,1),(30,1),(31,1),(43,1),(55,1),(58,1)}
      10:{3,5}:{(4,1),(5,1),(18,1)}
      11:{3,4,6}:{(4,1),(6,1),(15,1),(18,1),(19,1),(28,1),(30,1),(33,1)}
      12:{1,4,6}:{(5,1),(16,1),(18,1),(20,1),(28,1),(33,1)}
      13:{1,5}:{(6,1),(19,1)}
      14:{2,3,5}:{(7,1),(8,1),(10,1),(21,1),(22,1),(35,1)}
      15:{2,3,6}:{(7,1),(9,1),(11,1),(23,1),(39,1),(41,1),(59,1)}
      16:{1,2,6}:{(8,1),(12,1),(22,1),(41,1)}
      17:{1,2,5}:{(9,1),(13,1),(23,1),(25,1),(35,1),(48,1),(52,1)}
      18:{3,6}:{(10,1),(12,1)}
      19:{3,5}:{(11,1),(13,1),(27,1),(35,1)}
      20:{1,5,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{4}:{(14,1)}
      22:{2,3,6}:{(14,1),(16,1),(18,1),(28,1)}
      23:{2,3,5}:{(15,1),(17,1),(19,1),(30,1),(32,1),(34,1),(45,1)}
      24:{1,2,5,6}:{(16,1),(17,1),(20,1),(29,1),(31,1),(54,1),(55,1)}
      25:{1,4,5}:{(17,1),(30,1),(31,1),(32,1),(42,1),(46,1),(54,1),(58,1)}
      26:{3,5,6}:{(18,1),(19,1),(20,1),(33,1)}
      27:{4,5}:{(19,1),(30,1),(33,1),(34,1)}
      28:{4,6}:{(21,1),(22,1),(35,1)}
      29:{2,3,5,6}:{(22,1),(23,1),(24,1),(26,1),(35,1),(36,1),(39,1),(41,1),(48,1),(49,1),(50,1)}
      30:{4}:{(23,1)}
      31:{1,4,6}:{(24,1),(25,1),(36,1),(39,1)}
      32:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      33:{4,6}:{(26,1),(27,1),(41,1)}
      34:{2,5}:{(27,1),(37,1),(41,1)}
      35:{5}:{(28,1)}
      36:{4,6}:{(29,1),(30,1),(42,1)}
      37:{2,4}:{(30,1),(34,1),(45,1)}
      38:{3,4}:{(30,1),(32,1),(45,1),(46,1)}
      39:{3,6}:{(31,1),(32,1)}
      40:{1,3,5}:{(32,1),(46,1),(47,1),(54,1)}
      41:{2,6}:{(33,1),(34,1)}
      42:{4,5}:{(35,1),(36,1),(48,1),(49,1),(57,1)}
      43:{2,4,6}:{(36,1),(37,1),(41,1),(48,1),(50,1),(57,1)}
      44:{3,4,6}:{(36,1),(38,1),(39,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      45:{2,3}:{(37,1),(38,1),(52,1)}
      46:{1,4}:{(38,1),(40,1),(52,1)}
      47:{1,3,6}:{(39,1),(40,1),(51,1),(59,1)}
      48:{2,5}:{(42,1),(43,1)}
      49:{3,5}:{(42,1),(44,1),(54,1)}
      50:{2,3,6}:{(43,1),(44,1),(45,1),(53,1),(55,1)}
      51:{1,4,6}:{(44,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      52:{1,2}:{(45,1),(46,1)}
      53:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{1,2,6}:{(50,1),(51,1),(52,1),(56,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(53,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

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

158 :  0:{1,2,5,6}:{(1,1),(2,1),(10,1),(24,1),(25,1),(46,1),(54,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(6,1),(14,1),(15,1),(16,1),(19,1),(39,1),(50,1),(57,1),(59,1)}
       2:{1,4,6}:{(0,1),(3,1),(4,1),(6,1)}
       3:{4,6}:{(1,1),(7,1),(29,1)}
       4:{1,4,5}:{(2,1),(7,1),(10,1),(11,1),(24,1),(27,1),(29,1),(40,1)}
       5:{1,2,4,6}:{(2,1),(8,1),(10,1),(12,1),(25,1),(29,1),(30,1),(40,1),(41,1),(54,1),(58,1)}
       6:{3,6}:{(2,1),(11,1)}
       7:{4,5}:{(3,1),(14,1),(15,1),(33,1),(59,1)}
       8:{2,4,6}:{(3,1),(14,1),(16,1),(33,1),(35,1),(50,1)}
       9:{3,4,6}:{(3,1),(6,1),(15,1),(16,1),(17,1),(18,1),(33,1),(47,1)}
      10:{1,2,5}:{(4,1),(5,1),(14,1),(19,1),(34,1),(38,1),(59,1)}
      11:{3,5}:{(4,1),(6,1),(18,1),(47,1)}
      12:{2,3,6}:{(5,1),(6,1),(19,1),(22,1),(47,1),(48,1),(50,1)}
      13:{1,3,6}:{(6,1),(17,1),(20,1),(47,1)}
      14:{2,5}:{(7,1),(8,1)}
      15:{3,5}:{(7,1),(9,1),(24,1)}
      16:{2,3,6}:{(8,1),(9,1),(23,1),(25,1),(26,1)}
      17:{1,4,6}:{(9,1),(13,1),(24,1),(25,1),(27,1),(40,1)}
      18:{3,4}:{(11,1),(26,1),(27,1),(29,1)}
      19:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(29,1),(31,1),(42,1)}
      20:{1,3,5}:{(11,1),(13,1),(24,1),(27,1)}
      21:{1,2,3,6}:{(12,1),(13,1),(25,1),(28,1),(30,1),(54,1),(55,1)}
      22:{3,4,6}:{(12,1),(29,1),(30,1),(31,1),(43,1),(45,1),(55,1),(58,1)}
      23:{2,3,5}:{(14,1),(15,1),(16,1),(32,1),(33,1),(47,1)}
      24:{1,5}:{(15,1),(17,1)}
      25:{1,2,6}:{(16,1),(17,1),(32,1),(34,1)}
      26:{2,3}:{(18,1),(34,1),(35,1)}
      27:{1,4}:{(18,1),(20,1),(34,1)}
      28:{1,2,3,5}:{(19,1),(20,1),(21,1),(32,1),(34,1),(36,1),(38,1),(47,1),(48,1),(49,1),(51,1)}
      29:{4}:{(19,1)}
      30:{1,4,6}:{(21,1),(22,1),(36,1),(38,1)}
      31:{3,5}:{(22,1),(37,1),(38,1),(59,1)}
      32:{1,2,5}:{(23,1),(24,1),(25,1),(40,1)}
      33:{4}:{(23,1)}
      34:{1,2}:{(26,1),(27,1)}
      35:{2,4}:{(26,1),(29,1),(42,1)}
      36:{1,4}:{(28,1),(29,1),(43,1)}
      37:{4,5}:{(29,1),(31,1),(42,1),(45,1)}
      38:{1,5}:{(30,1),(31,1)}
      39:{3,5,6}:{(31,1),(45,1),(46,1),(55,1)}
      40:{1,4}:{(32,1),(33,1),(47,1)}
      41:{1,2,4}:{(34,1),(35,1),(36,1),(48,1),(49,1),(56,1)}
      42:{2,5}:{(35,1),(37,1),(50,1)}
      43:{3,4}:{(36,1),(47,1),(48,1),(51,1),(56,1)}
      44:{1,4,5}:{(36,1),(37,1),(38,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      45:{4,6}:{(37,1),(39,1),(50,1)}
      46:{1,5,6}:{(38,1),(39,1),(52,1),(59,1)}
      47:{3}:{(40,1)}
      48:{2,3}:{(41,1),(43,1)}
      49:{1,2,5}:{(41,1),(42,1),(44,1),(53,1),(54,1)}
      50:{2,6}:{(42,1),(45,1)}
      51:{3,5}:{(43,1),(44,1),(55,1)}
      52:{1,4,6}:{(44,1),(45,1),(46,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

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

160 :  0:{1,3,4}:{(2,1),(3,1),(18,1),(75,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(28,1),(49,1),(52,1),(69,1),(70,1)}
       2:{1,3,5}:{(0,1),(7,1),(8,1),(69,1)}
       3:{1,2,3}:{(0,1),(10,1),(79,1)}
       4:{4,5,6}:{(11,1),(12,1),(35,1),(63,1)}
       5:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(35,1),(60,1)}
       6:{2,3,5}:{(1,1),(13,1),(15,1),(16,1),(37,1),(38,1)}
       7:{1,4,5}:{(1,1),(2,1),(14,1),(15,1),(18,1),(40,1)}
       8:{1,3,6}:{(2,1),(14,1),(60,1)}
       9:{1,2,3,5}:{(2,1),(3,1),(15,1),(17,1),(18,1),(20,1),(38,1),(40,1),(41,1),(62,1)}
      10:{1,2,4}:{(3,1),(18,1),(19,1),(20,1),(76,1)}
      11:{2,5,6}:{(4,1),(21,1),(71,1)}
      12:{3,5,6}:{(4,1),(5,1),(23,1),(52,1)}
      13:{2,3,6}:{(5,1),(6,1),(24,1),(25,1)}
      14:{1,4,6}:{(5,1),(7,1),(8,1),(23,1),(24,1)}
      15:{1,2,5}:{(6,1),(7,1),(24,1),(26,1)}
      16:{2,4}:{(6,1),(70,1)}
      17:{1,2,3,6}:{(8,1),(9,1),(24,1),(27,1),(31,1),(50,1),(54,1)}
      18:{1,4}:{(9,1),(28,1),(70,1)}
      19:{2,3,4}:{(10,1),(28,1),(30,1)}
      20:{1,2,5}:{(10,1),(29,1),(30,1),(31,1),(71,1)}
      21:{2,4,6}:{(11,1),(32,1),(33,1),(35,1),(76,1)}
      22:{2,3,5,6}:{(11,1),(12,1),(13,1),(33,1),(34,1),(35,1),(37,1),(59,1),(60,1),(62,1)}
      23:{1,5,6}:{(12,1),(14,1),(40,1)}
      24:{1,2,6}:{(13,1),(14,1),(15,1)}
      25:{2,4,6}:{(13,1),(16,1),(35,1),(37,1)}
      26:{1,2,4}:{(15,1),(16,1),(18,1),(38,1)}
      27:{1,4,6}:{(17,1),(18,1),(39,1),(40,1)}
      28:{3,4}:{(18,1),(38,1),(41,1)}
      29:{1,4,5}:{(18,1),(20,1),(40,1),(41,1),(42,1),(43,1),(63,1)}
      30:{2,3,5}:{(19,1),(20,1),(41,1),(43,1),(44,1)}
      31:{1,2,6}:{(20,1),(42,1),(44,1),(77,1)}
      32:{2,4,5}:{(21,1),(45,1),(49,1)}
      33:{2,3,6}:{(21,1),(45,1),(46,1),(47,1),(79,1)}
      34:{1,2,5,6}:{(22,1),(23,1),(24,1),(46,1),(48,1),(51,1),(68,1)}
      35:{4,6}:{(22,1),(49,1),(70,1)}
      36:{1,2,4,6}:{(24,1),(25,1),(26,1),(27,1),(48,1),(50,1),(51,1),(70,1)}
      37:{2,5}:{(25,1),(49,1)}
      38:{2,3}:{(26,1),(28,1)}
      39:{3,4,6}:{(27,1),(28,1),(50,1),(52,1),(54,1),(70,1),(72,1)}
      40:{1,5}:{(27,1),(52,1)}
      41:{3,5}:{(28,1),(29,1),(54,1)}
      42:{1,4,6}:{(29,1),(31,1),(53,1),(54,1),(55,1),(72,1)}
      43:{4,5}:{(30,1),(55,1)}
      44:{2,3,6}:{(30,1),(31,1),(54,1),(55,1)}
      45:{2,3,5}:{(32,1),(33,1),(56,1),(57,1),(59,1)}
      46:{1,2,6}:{(33,1),(56,1),(58,1),(80,1)}
      47:{3,4,6}:{(33,1),(35,1),(57,1),(58,1),(59,1),(60,1),(75,1)}
      48:{1,4,6}:{(34,1),(35,1),(60,1),(61,1)}
      49:{4,5}:{(35,1),(37,1),(59,1)}
      50:{2,3,6}:{(36,1),(38,1),(39,1),(60,1),(62,1),(77,1)}
      51:{1,2,5}:{(36,1),(37,1),(40,1),(61,1),(62,1),(80,1)}
      52:{3,5}:{(39,1),(40,1),(63,1)}
      53:{1,5,6}:{(40,1),(42,1),(64,1),(65,1)}
      54:{3,6}:{(41,1),(42,1)}
      55:{4,6}:{(43,1),(44,1),(65,1)}
      56:{1,2,5}:{(45,1),(46,1),(66,1),(68,1)}
      57:{3,4}:{(45,1),(66,1)}
      58:{1,4,6}:{(46,1),(47,1),(66,1),(67,1),(68,1),(78,1)}
      59:{3,5}:{(47,1),(49,1),(68,1)}
      60:{3,6}:{(48,1),(69,1)}
      61:{1,4,5}:{(48,1),(49,1),(51,1),(68,1),(69,1),(70,1),(78,1)}
      62:{2,3,5}:{(50,1),(51,1),(52,1),(69,1),(70,1),(71,1),(79,1)}
      63:{4,5}:{(52,1),(70,1),(71,1),(72,1)}
      64:{3,5,6}:{(52,1),(53,1),(54,1),(72,1)}
      65:{5,6}:{(55,1)}
      66:{1,4}:{(56,1),(57,1),(73,1)}
      67:{1,3,6}:{(58,1),(60,1),(73,1),(74,1)}
      68:{1,5}:{(58,1),(59,1)}
      69:{3,5}:{(60,1),(61,1),(75,1)}
      70:{4}:{(62,1)}
      71:{2,5}:{(63,1),(76,1),(77,1)}
      72:{4,6}:{(63,1),(64,1),(77,1)}
      73:{1,3}:{(66,1)}
      74:{1,3,5}:{(67,1),(68,1),(69,1),(78,1)}
      75:{3,4}:{(69,1),(70,1),(78,1),(79,1)}
      76:{2,4}:{(70,1),(71,1),(79,1)}
      77:{2,6}:{(71,1),(72,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{2,3}:{(75,1),(76,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

161 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

162 :  0:{2,4,6}:{(2,1),(3,1),(4,1),(13,1),(53,1),(54,1),(62,1)}
       1:{2,5,6}:{(3,1),(4,1),(62,1),(63,1)}
       2:{2,3,6}:{(0,1),(5,1),(6,1),(7,1),(9,1),(39,1),(48,1)}
       3:{2,5}:{(0,1),(8,1),(59,1)}
       4:{4,6}:{(1,1),(8,1),(9,1)}
       5:{1,2,6}:{(2,1),(10,1),(11,1),(15,1),(41,1)}
       6:{3,4,6}:{(2,1),(10,1),(12,1),(13,1),(28,1),(29,1),(42,1),(44,1),(54,1)}
       7:{2,3,5}:{(2,1),(3,1),(11,1),(12,1),(13,1),(14,1),(28,1),(30,1),(31,1)}
       8:{4,5}:{(3,1),(4,1),(13,1),(14,1)}
       9:{3,6}:{(4,1),(14,1),(15,1)}
      10:{1,4,6}:{(5,1),(6,1),(16,1),(17,1),(18,1),(33,1)}
      11:{1,2,5}:{(5,1),(7,1),(17,1),(18,1),(23,1),(40,1)}
      12:{3,5}:{(6,1),(17,1),(20,1),(59,1)}
      13:{4}:{(7,1)}
      14:{3,5}:{(8,1),(9,1),(22,1),(23,1)}
      15:{1,6}:{(9,1),(23,1)}
      16:{1,3,6}:{(10,1),(24,1),(28,1),(44,1)}
      17:{1,5}:{(10,1),(12,1)}
      18:{1,4}:{(11,1),(13,1),(28,1)}
      19:{3,5,6}:{(12,1),(25,1),(29,1),(44,1)}
      20:{4,5}:{(12,1),(13,1),(29,1),(30,1)}
      21:{2,4}:{(13,1),(30,1),(31,1)}
      22:{3,4}:{(13,1),(14,1),(28,1),(31,1),(32,1)}
      23:{1,5}:{(14,1),(15,1),(32,1)}
      24:{1,3,5}:{(16,1),(17,1),(33,1),(36,1)}
      25:{1,5,6}:{(17,1),(19,1),(34,1),(59,1)}
      26:{1,4,5}:{(17,1),(18,1),(20,1),(33,1),(34,1),(35,1),(36,1),(50,1),(59,1)}
      27:{1,2,4}:{(18,1),(21,1),(35,1),(37,1),(40,1),(50,1),(51,1)}
      28:{3}:{(18,1)}
      29:{4,6}:{(19,1),(20,1),(39,1)}
      30:{2,5}:{(20,1),(21,1),(39,1)}
      31:{2,3}:{(21,1),(22,1),(40,1)}
      32:{1,4}:{(22,1),(23,1),(38,1),(40,1)}
      33:{1,4}:{(24,1),(41,1),(42,1)}
      34:{1,4,6}:{(25,1),(26,1),(29,1),(43,1),(44,1),(54,1)}
      35:{1,2,5}:{(26,1),(27,1),(30,1),(41,1),(43,1),(45,1),(56,1)}
      36:{3,5}:{(26,1),(28,1),(42,1),(44,1)}
      37:{2,3}:{(27,1),(28,1),(47,1)}
      38:{1,3}:{(28,1),(32,1)}
      39:{2,6}:{(29,1),(30,1)}
      40:{1,2}:{(31,1),(32,1)}
      41:{1,2}:{(33,1),(48,1)}
      42:{3,4}:{(33,1),(36,1),(48,1),(50,1)}
      43:{1,2,6}:{(34,1),(35,1),(39,1),(49,1),(61,1)}
      44:{3,6}:{(34,1),(36,1)}
      45:{2,3,5}:{(35,1),(36,1),(37,1),(48,1),(49,1),(50,1),(52,1),(58,1),(59,1)}
      46:{1,2,3}:{(37,1),(38,1),(40,1),(51,1)}
      47:{3,4}:{(37,1),(50,1),(51,1),(52,1)}
      48:{2,3}:{(41,1),(42,1),(53,1)}
      49:{2,3,6}:{(43,1),(44,1),(45,1),(54,1),(57,1),(62,1)}
      50:{4}:{(45,1)}
      51:{1,4}:{(46,1),(47,1),(56,1)}
      52:{3,5}:{(47,1),(55,1),(56,1),(57,1)}
      53:{2,4}:{(48,1),(50,1),(58,1)}
      54:{4,6}:{(49,1),(50,1),(59,1)}
      55:{4,5}:{(50,1),(52,1),(58,1),(59,1),(60,1)}
      56:{1,5}:{(51,1),(52,1),(61,1)}
      57:{3,6}:{(52,1),(60,1),(61,1)}
      58:{2,5}:{(53,1),(55,1),(62,1)}
      59:{5}:{(54,1)}
      60:{4,6}:{(55,1),(57,1),(62,1),(63,1)}
      61:{1,6}:{(56,1),(57,1)}
      62:{2,6}:{(58,1),(60,1)}
      63:{5,6}:{(59,1),(60,1)}

163 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(36,1),(41,1),(60,1),(65,1),(66,1)}
       1:{4,5,6}:{(7,1),(8,1),(28,1),(69,1)}
       2:{3,4,6}:{(0,1),(8,1),(9,1),(10,1),(28,1),(54,1)}
       3:{2,3,5}:{(0,1),(9,1),(11,1),(12,1),(30,1),(31,1)}
       4:{1,4,5}:{(0,1),(6,1),(10,1),(11,1),(25,1),(49,1)}
       5:{1,3,4}:{(6,1),(13,1),(25,1),(72,1)}
       6:{1,3,5}:{(4,1),(5,1),(14,1),(65,1)}
       7:{2,5,6}:{(1,1),(16,1),(75,1)}
       8:{3,5,6}:{(1,1),(2,1),(18,1),(60,1)}
       9:{2,3,6}:{(2,1),(3,1),(19,1),(20,1)}
      10:{1,4,6}:{(2,1),(4,1),(14,1),(18,1),(19,1)}
      11:{1,2,5}:{(3,1),(4,1),(19,1),(21,1)}
      12:{2,4}:{(3,1),(66,1)}
      13:{1,2,3}:{(5,1),(22,1),(78,1)}
      14:{1,3,6}:{(6,1),(10,1),(54,1)}
      15:{1,2,3,5}:{(6,1),(11,1),(13,1),(24,1),(25,1),(31,1),(33,1),(49,1),(50,1),(56,1)}
      16:{2,4,6}:{(7,1),(23,1),(26,1),(28,1),(73,1)}
      17:{2,3,5,6}:{(7,1),(8,1),(9,1),(26,1),(27,1),(28,1),(30,1),(53,1),(54,1),(56,1)}
      18:{1,5,6}:{(8,1),(10,1),(49,1)}
      19:{1,2,6}:{(9,1),(10,1),(11,1)}
      20:{2,4,6}:{(9,1),(12,1),(28,1),(30,1)}
      21:{1,2,4}:{(11,1),(12,1),(25,1),(31,1)}
      22:{1,2,4}:{(13,1),(25,1),(32,1),(33,1),(73,1)}
      23:{2,4,5}:{(16,1),(34,1),(41,1)}
      24:{1,2,3,6}:{(14,1),(15,1),(19,1),(35,1),(42,1),(45,1),(62,1)}
      25:{1,4}:{(15,1),(36,1),(66,1)}
      26:{2,3,6}:{(16,1),(34,1),(38,1),(39,1),(78,1)}
      27:{1,2,5,6}:{(17,1),(18,1),(19,1),(38,1),(40,1),(43,1),(64,1)}
      28:{4,6}:{(17,1),(41,1),(66,1)}
      29:{1,2,4,6}:{(19,1),(20,1),(21,1),(35,1),(40,1),(42,1),(43,1),(66,1)}
      30:{2,5}:{(20,1),(41,1)}
      31:{2,3}:{(21,1),(36,1)}
      32:{2,3,4}:{(22,1),(36,1),(44,1)}
      33:{1,2,5}:{(22,1),(37,1),(44,1),(45,1),(75,1)}
      34:{2,3,5}:{(23,1),(26,1),(46,1),(47,1),(53,1)}
      35:{1,4,6}:{(24,1),(25,1),(48,1),(49,1)}
      36:{3,4}:{(25,1),(31,1),(50,1)}
      37:{1,4,5}:{(25,1),(33,1),(49,1),(50,1),(51,1),(57,1),(69,1)}
      38:{1,2,6}:{(26,1),(46,1),(52,1),(80,1)}
      39:{3,4,6}:{(26,1),(28,1),(47,1),(52,1),(53,1),(54,1),(72,1)}
      40:{1,4,6}:{(27,1),(28,1),(54,1),(55,1)}
      41:{4,5}:{(28,1),(30,1),(53,1)}
      42:{2,3,6}:{(29,1),(31,1),(48,1),(54,1),(56,1),(79,1)}
      43:{1,2,5}:{(29,1),(30,1),(49,1),(55,1),(56,1),(80,1)}
      44:{2,3,5}:{(32,1),(33,1),(50,1),(57,1),(58,1)}
      45:{1,2,6}:{(33,1),(51,1),(58,1),(79,1)}
      46:{1,2,5}:{(34,1),(38,1),(59,1),(64,1)}
      47:{3,4}:{(34,1),(59,1)}
      48:{3,4,6}:{(35,1),(36,1),(42,1),(60,1),(62,1),(66,1),(76,1)}
      49:{1,5}:{(35,1),(60,1)}
      50:{3,5}:{(36,1),(37,1),(62,1)}
      51:{1,4,6}:{(37,1),(45,1),(61,1),(62,1),(67,1),(76,1)}
      52:{1,4,6}:{(38,1),(39,1),(59,1),(63,1),(64,1),(77,1)}
      53:{3,5}:{(39,1),(41,1),(64,1)}
      54:{3,6}:{(40,1),(65,1)}
      55:{1,4,5}:{(40,1),(41,1),(43,1),(64,1),(65,1),(66,1),(77,1)}
      56:{2,3,5}:{(42,1),(43,1),(60,1),(65,1),(66,1),(75,1),(78,1)}
      57:{4,5}:{(44,1),(67,1)}
      58:{2,3,6}:{(44,1),(45,1),(62,1),(67,1)}
      59:{1,4}:{(46,1),(47,1),(68,1)}
      60:{3,5}:{(48,1),(49,1),(69,1)}
      61:{1,5,6}:{(49,1),(51,1),(70,1),(74,1)}
      62:{3,6}:{(50,1),(51,1)}
      63:{1,3,6}:{(52,1),(54,1),(68,1),(71,1)}
      64:{1,5}:{(52,1),(53,1)}
      65:{3,5}:{(54,1),(55,1),(72,1)}
      66:{4}:{(56,1)}
      67:{4,6}:{(57,1),(58,1),(74,1)}
      68:{1,3}:{(59,1)}
      69:{4,5}:{(60,1),(66,1),(75,1),(76,1)}
      70:{3,5,6}:{(60,1),(61,1),(62,1),(76,1)}
      71:{1,3,5}:{(63,1),(64,1),(65,1),(77,1)}
      72:{3,4}:{(65,1),(66,1),(77,1),(78,1)}
      73:{2,4}:{(66,1),(75,1),(78,1)}
      74:{5,6}:{(67,1)}
      75:{2,5}:{(69,1),(73,1),(79,1)}
      76:{4,6}:{(69,1),(70,1),(79,1)}
      77:{1,4}:{(71,1),(72,1),(80,1)}
      78:{2,3}:{(72,1),(73,1),(80,1)}
      79:{2,6}:{(75,1),(76,1)}
      80:{1,2}:{(77,1),(78,1)}

164 :  0:{4,5,6}:{(1,1),(2,1),(16,1),(74,1)}
       1:{2,5,6}:{(0,1),(4,1),(78,1)}
       2:{3,5,6}:{(0,1),(5,1),(7,1),(67,1)}
       3:{3,4,5}:{(5,1),(8,1),(9,1),(28,1),(51,1),(52,1),(67,1),(69,1)}
       4:{2,4,6}:{(1,1),(11,1),(12,1),(16,1),(76,1)}
       5:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(16,1),(39,1)}
       6:{2,3,5,6}:{(1,1),(2,1),(12,1),(13,1),(15,1),(16,1),(35,1),(38,1),(39,1),(60,1)}
       7:{1,5,6}:{(2,1),(14,1),(59,1)}
       8:{2,3,5}:{(3,1),(13,1),(18,1),(19,1),(38,1),(42,1)}
       9:{1,4,5}:{(3,1),(14,1),(17,1),(18,1),(41,1),(59,1)}
      10:{1,3,4}:{(17,1),(20,1),(41,1),(61,1)}
      11:{2,4,5}:{(4,1),(21,1),(28,1)}
      12:{2,3,6}:{(4,1),(21,1),(22,1),(23,1),(70,1)}
      13:{2,3,6}:{(5,1),(8,1),(25,1),(26,1)}
      14:{1,4,6}:{(5,1),(7,1),(9,1),(24,1),(25,1)}
      15:{1,2,5,6}:{(6,1),(7,1),(22,1),(25,1),(27,1),(47,1),(50,1)}
      16:{4,6}:{(6,1),(28,1),(69,1)}
      17:{1,3,5}:{(9,1),(10,1),(24,1),(51,1)}
      18:{1,2,5}:{(8,1),(9,1),(25,1),(30,1)}
      19:{2,4}:{(8,1),(69,1)}
      20:{1,2,3}:{(10,1),(31,1),(70,1)}
      21:{2,3,5}:{(11,1),(12,1),(32,1),(33,1),(35,1)}
      22:{1,2,6}:{(12,1),(32,1),(34,1),(73,1)}
      23:{3,4,6}:{(12,1),(16,1),(33,1),(34,1),(35,1),(39,1),(61,1)}
      24:{1,3,6}:{(14,1),(17,1),(39,1)}
      25:{1,2,6}:{(13,1),(14,1),(18,1)}
      26:{2,4,6}:{(13,1),(16,1),(19,1),(38,1)}
      27:{1,4,6}:{(15,1),(16,1),(39,1),(40,1)}
      28:{4,5}:{(16,1),(35,1),(38,1)}
      29:{1,2,3,5}:{(17,1),(18,1),(20,1),(36,1),(41,1),(42,1),(44,1),(59,1),(60,1),(62,1)}
      30:{1,2,4}:{(18,1),(19,1),(41,1),(42,1)}
      31:{1,2,4}:{(20,1),(41,1),(43,1),(44,1),(76,1)}
      32:{1,2,5}:{(21,1),(22,1),(45,1),(47,1)}
      33:{3,4}:{(21,1),(45,1)}
      34:{1,4,6}:{(22,1),(23,1),(45,1),(46,1),(47,1),(66,1)}
      35:{3,5}:{(23,1),(28,1),(47,1)}
      36:{1,2,3,6}:{(24,1),(25,1),(29,1),(48,1),(49,1),(55,1),(71,1)}
      37:{1,2,4,6}:{(25,1),(26,1),(27,1),(30,1),(48,1),(49,1),(50,1),(69,1)}
      38:{2,5}:{(26,1),(28,1)}
      39:{3,6}:{(27,1),(51,1)}
      40:{1,4,5}:{(27,1),(28,1),(47,1),(50,1),(51,1),(66,1),(69,1)}
      41:{1,4}:{(29,1),(52,1),(69,1)}
      42:{2,3}:{(30,1),(52,1)}
      43:{2,3,4}:{(31,1),(52,1),(54,1)}
      44:{1,2,5}:{(31,1),(53,1),(54,1),(55,1),(78,1)}
      45:{1,4}:{(32,1),(33,1),(56,1)}
      46:{1,3,6}:{(34,1),(39,1),(56,1),(57,1)}
      47:{1,5}:{(34,1),(35,1)}
      48:{1,4,6}:{(36,1),(41,1),(58,1),(59,1)}
      49:{2,3,6}:{(37,1),(39,1),(42,1),(58,1),(60,1),(80,1)}
      50:{1,2,5}:{(37,1),(38,1),(40,1),(59,1),(60,1),(73,1)}
      51:{3,5}:{(39,1),(40,1),(61,1)}
      52:{3,4}:{(41,1),(42,1),(62,1)}
      53:{1,4,5}:{(41,1),(44,1),(59,1),(62,1),(63,1),(64,1),(74,1)}
      54:{2,3,5}:{(43,1),(44,1),(62,1),(64,1),(65,1)}
      55:{1,2,6}:{(44,1),(63,1),(65,1),(80,1)}
      56:{1,3}:{(45,1)}
      57:{1,3,5}:{(46,1),(47,1),(51,1),(66,1)}
      58:{3,4,6}:{(48,1),(49,1),(52,1),(67,1),(69,1),(71,1),(79,1)}
      59:{1,5}:{(48,1),(67,1)}
      60:{2,3,5}:{(49,1),(50,1),(51,1),(67,1),(69,1),(70,1),(78,1)}
      61:{3,4}:{(51,1),(66,1),(69,1),(70,1)}
      62:{3,5}:{(52,1),(53,1),(71,1)}
      63:{1,4,6}:{(53,1),(55,1),(68,1),(71,1),(72,1),(79,1)}
      64:{4,5}:{(54,1),(72,1)}
      65:{2,3,6}:{(54,1),(55,1),(71,1),(72,1)}
      66:{1,4}:{(57,1),(61,1),(73,1)}
      67:{3,5}:{(58,1),(59,1),(74,1)}
      68:{1,5,6}:{(59,1),(63,1),(75,1),(77,1)}
      69:{4}:{(60,1)}
      70:{2,3}:{(61,1),(73,1),(76,1)}
      71:{3,6}:{(62,1),(63,1)}
      72:{4,6}:{(64,1),(65,1),(77,1)}
      73:{1,2}:{(66,1),(70,1)}
      74:{4,5}:{(67,1),(69,1),(78,1),(79,1)}
      75:{3,5,6}:{(67,1),(68,1),(71,1),(79,1)}
      76:{2,4}:{(69,1),(70,1),(78,1)}
      77:{5,6}:{(72,1)}
      78:{2,5}:{(74,1),(76,1),(80,1)}
      79:{4,6}:{(74,1),(75,1),(80,1)}
      80:{2,6}:{(78,1),(79,1)}

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

166 :  0:{2,4,6}:{(3,1),(4,1),(16,1),(20,1),(44,1),(51,1),(55,1)}
       1:{3,4,6}:{(3,1),(5,1),(6,1),(18,1),(20,1),(25,1),(38,1),(40,1),(51,1)}
       2:{1,3,6}:{(5,1),(7,1),(38,1),(40,1)}
       3:{2,3,6}:{(0,1),(1,1),(10,1),(11,1),(26,1),(28,1),(35,1)}
       4:{2,5}:{(0,1),(12,1),(56,1)}
       5:{1,4,6}:{(1,1),(2,1),(10,1),(13,1),(15,1),(29,1)}
       6:{3,5}:{(1,1),(13,1),(14,1),(56,1)}
       7:{1,3,5}:{(2,1),(13,1),(15,1),(34,1)}
       8:{2,5,6}:{(4,1),(16,1),(55,1),(60,1)}
       9:{3,5,6}:{(6,1),(17,1),(18,1),(38,1)}
      10:{1,2,6}:{(3,1),(5,1),(19,1),(24,1),(36,1)}
      11:{2,3,5}:{(3,1),(4,1),(6,1),(19,1),(20,1),(21,1),(23,1),(40,1),(41,1)}
      12:{4,5}:{(4,1),(16,1),(20,1),(21,1)}
      13:{1,5}:{(5,1),(6,1)}
      14:{4,5}:{(6,1),(18,1),(20,1),(23,1)}
      15:{1,4}:{(7,1),(24,1),(25,1)}
      16:{4,6}:{(8,1),(12,1),(26,1)}
      17:{1,5,6}:{(9,1),(13,1),(27,1),(56,1)}
      18:{4,6}:{(9,1),(14,1),(28,1)}
      19:{1,2,5}:{(10,1),(11,1),(13,1),(29,1),(32,1),(48,1)}
      20:{4}:{(11,1)}
      21:{3,5}:{(12,1),(26,1),(31,1),(32,1)}
      22:{1,4,5}:{(13,1),(14,1),(15,1),(27,1),(29,1),(33,1),(34,1),(49,1),(56,1)}
      23:{2,5}:{(14,1),(28,1),(30,1)}
      24:{1,2}:{(15,1),(35,1)}
      25:{3,4}:{(15,1),(34,1),(35,1),(49,1)}
      26:{3,6}:{(16,1),(21,1),(36,1)}
      27:{1,4,6}:{(17,1),(18,1),(22,1),(37,1),(38,1),(51,1)}
      28:{2,6}:{(18,1),(23,1)}
      29:{1,4}:{(19,1),(20,1),(40,1)}
      30:{2,4}:{(20,1),(23,1),(41,1)}
      31:{3,4}:{(20,1),(21,1),(40,1),(41,1),(42,1)}
      32:{1,5}:{(21,1),(36,1),(42,1)}
      33:{1,2,5}:{(22,1),(23,1),(24,1),(37,1),(39,1),(43,1),(61,1)}
      34:{3,5}:{(22,1),(25,1),(38,1),(40,1)}
      35:{2,3}:{(24,1),(25,1),(44,1)}
      36:{1,6}:{(26,1),(32,1)}
      37:{1,2,6}:{(27,1),(28,1),(33,1),(45,1),(63,1)}
      38:{3,6}:{(27,1),(34,1)}
      39:{1,2,4}:{(29,1),(30,1),(33,1),(46,1),(48,1),(49,1),(57,1)}
      40:{3}:{(29,1)}
      41:{2,3}:{(30,1),(31,1),(48,1)}
      42:{1,4}:{(31,1),(32,1),(47,1),(48,1)}
      43:{2,3,5}:{(33,1),(34,1),(35,1),(45,1),(46,1),(49,1),(50,1),(56,1),(58,1)}
      44:{2,4}:{(35,1),(49,1),(50,1)}
      45:{2,3,6}:{(37,1),(38,1),(43,1),(51,1),(55,1),(62,1)}
      46:{2,3}:{(39,1),(40,1),(53,1)}
      47:{1,3}:{(40,1),(42,1)}
      48:{1,2}:{(41,1),(42,1)}
      49:{4}:{(43,1)}
      50:{2,5}:{(44,1),(54,1),(55,1)}
      51:{4,6}:{(45,1),(49,1),(56,1)}
      52:{1,2,3}:{(46,1),(47,1),(48,1),(57,1)}
      53:{3,4}:{(46,1),(49,1),(57,1),(58,1)}
      54:{4,5}:{(49,1),(50,1),(56,1),(58,1),(59,1)}
      55:{2,6}:{(50,1),(59,1)}
      56:{5}:{(51,1)}
      57:{1,4}:{(52,1),(53,1),(61,1)}
      58:{3,5}:{(53,1),(54,1),(61,1),(62,1)}
      59:{4,6}:{(54,1),(55,1),(60,1),(62,1)}
      60:{5,6}:{(56,1),(59,1)}
      61:{1,5}:{(57,1),(58,1),(63,1)}
      62:{3,6}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

167 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

168 :  0:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1),(11,1),(12,1),(22,1),(35,1),(48,1),(56,1),(59,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(14,1),(17,1),(20,1),(43,1),(53,1)}
       2:{1,4}:{(0,1),(5,1),(30,1)}
       3:{1,2,4}:{(2,1),(8,1),(9,1),(24,1),(38,1),(48,1)}
       4:{1,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       5:{3,4}:{(2,1),(8,1),(12,1),(24,1),(59,1)}
       6:{1,4,5}:{(2,1),(9,1),(11,1),(12,1),(13,1),(24,1),(26,1),(40,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(14,1),(15,1),(17,1),(29,1),(30,1),(32,1),(46,1),(53,1),(58,1)}
       8:{2,3}:{(3,1),(5,1)}
       9:{1,2,5}:{(3,1),(6,1),(16,1),(17,1),(33,1)}
      10:{3,4,6}:{(4,1),(5,1),(14,1),(18,1),(20,1),(30,1),(32,1),(34,1)}
      11:{1,5}:{(4,1),(18,1)}
      12:{3,5}:{(5,1),(6,1),(20,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(32,1),(34,1)}
      14:{2,3,6}:{(7,1),(8,1),(10,1),(22,1),(37,1),(41,1),(59,1)}
      15:{1,2,5}:{(7,1),(11,1),(21,1),(22,1),(40,1),(48,1),(52,1)}
      16:{2,3,5}:{(8,1),(9,1),(12,1),(24,1),(25,1),(40,1)}
      17:{1,2,6}:{(9,1),(13,1),(25,1),(41,1)}
      18:{3,5}:{(10,1),(11,1),(26,1),(40,1)}
      19:{1,5,6}:{(11,1),(13,1),(27,1),(40,1)}
      20:{3,6}:{(12,1),(13,1)}
      21:{1,4,5}:{(15,1),(28,1),(29,1),(30,1),(42,1),(47,1),(54,1),(58,1)}
      22:{2,3,5}:{(14,1),(15,1),(18,1),(28,1),(30,1),(33,1),(44,1)}
      23:{1,2,5,6}:{(15,1),(17,1),(19,1),(29,1),(31,1),(53,1),(54,1)}
      24:{4}:{(16,1)}
      25:{2,3,6}:{(16,1),(17,1),(20,1),(32,1)}
      26:{4,5}:{(18,1),(30,1),(33,1),(34,1)}
      27:{3,5,6}:{(18,1),(19,1),(20,1),(34,1)}
      28:{3,5}:{(21,1),(36,1),(37,1),(59,1)}
      29:{1,4,6}:{(21,1),(23,1),(37,1),(39,1)}
      30:{4}:{(22,1)}
      31:{2,3,5,6}:{(22,1),(23,1),(25,1),(27,1),(37,1),(39,1),(40,1),(41,1),(50,1),(51,1),(52,1)}
      32:{4,6}:{(24,1),(25,1),(40,1)}
      33:{2,5}:{(26,1),(38,1),(41,1)}
      34:{4,6}:{(26,1),(27,1),(41,1)}
      35:{1,3,5}:{(28,1),(42,1),(43,1),(54,1)}
      36:{3,4}:{(28,1),(30,1),(42,1),(44,1)}
      37:{3,6}:{(28,1),(29,1)}
      38:{2,4}:{(30,1),(33,1),(44,1)}
      39:{4,6}:{(30,1),(31,1),(47,1)}
      40:{5}:{(32,1)}
      41:{2,6}:{(33,1),(34,1)}
      42:{1,4}:{(35,1),(36,1),(48,1)}
      43:{1,3,6}:{(35,1),(37,1),(49,1),(59,1)}
      44:{2,3}:{(36,1),(38,1),(48,1)}
      45:{3,4,6}:{(36,1),(37,1),(39,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      46:{2,4,6}:{(38,1),(39,1),(41,1),(50,1),(52,1),(57,1)}
      47:{4,5}:{(39,1),(40,1),(51,1),(52,1),(57,1)}
      48:{1,2}:{(42,1),(44,1)}
      49:{1,4,6}:{(42,1),(43,1),(45,1),(53,1),(54,1),(58,1)}
      50:{2,3,6}:{(44,1),(45,1),(46,1),(53,1),(55,1)}
      51:{3,5}:{(45,1),(47,1),(54,1)}
      52:{2,5}:{(46,1),(47,1)}
      53:{1,2,6}:{(48,1),(49,1),(50,1),(56,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{2,3,5}:{(50,1),(51,1),(52,1),(56,1),(57,1),(59,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(55,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

169 :  0:{1,2,3,6}:{(1,1),(2,1),(7,1),(28,1),(29,1),(41,1),(53,1)}
       1:{1,2,3,5}:{(0,1),(4,1),(6,1),(15,1),(17,1),(18,1),(19,1),(32,1),(47,1),(56,1),(59,1)}
       2:{1,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{1,2,4,6}:{(2,1),(7,1),(8,1),(9,1),(24,1),(25,1),(28,1),(44,1),(46,1),(53,1),(58,1)}
       4:{1,4}:{(1,1),(10,1),(25,1)}
       5:{3,4,6}:{(2,1),(7,1),(10,1),(12,1),(25,1),(29,1),(31,1),(46,1)}
       6:{1,5}:{(2,1),(12,1)}
       7:{2,3,6}:{(3,1),(5,1),(15,1),(17,1),(34,1),(39,1),(59,1)}
       8:{1,2,5}:{(3,1),(6,1),(14,1),(15,1),(47,1),(51,1),(52,1)}
       9:{1,2,4}:{(4,1),(17,1),(18,1),(35,1),(37,1),(47,1)}
      10:{3,4}:{(4,1),(17,1),(19,1),(37,1),(59,1)}
      11:{1,4,5}:{(4,1),(6,1),(18,1),(19,1),(20,1),(21,1),(37,1),(52,1)}
      12:{3,5}:{(5,1),(6,1),(21,1),(52,1)}
      13:{1,5,6}:{(6,1),(20,1),(22,1),(52,1)}
      14:{1,4,5}:{(8,1),(23,1),(24,1),(25,1),(40,1),(45,1),(54,1),(58,1)}
      15:{2,3,5}:{(7,1),(8,1),(12,1),(23,1),(25,1),(30,1),(42,1)}
      16:{1,2,5,6}:{(8,1),(13,1),(24,1),(26,1),(28,1),(53,1),(54,1)}
      17:{2,3}:{(9,1),(10,1)}
      18:{1,2,5}:{(9,1),(11,1),(27,1),(28,1),(30,1)}
      19:{3,5}:{(10,1),(11,1),(29,1)}
      20:{1,4,6}:{(11,1),(13,1),(28,1),(29,1),(31,1),(46,1)}
      21:{4,5}:{(12,1),(25,1),(30,1),(31,1)}
      22:{3,5,6}:{(12,1),(13,1),(29,1),(31,1)}
      23:{3,5}:{(14,1),(33,1),(34,1),(59,1)}
      24:{1,4,6}:{(14,1),(16,1),(34,1),(36,1)}
      25:{4}:{(15,1)}
      26:{2,3,5,6}:{(15,1),(16,1),(22,1),(34,1),(36,1),(38,1),(39,1),(49,1),(50,1),(51,1),(52,1)}
      27:{2,3,5}:{(17,1),(18,1),(19,1),(37,1),(38,1),(52,1)}
      28:{1,2,6}:{(18,1),(20,1),(38,1),(39,1)}
      29:{3,6}:{(19,1),(20,1)}
      30:{2,5}:{(21,1),(35,1),(39,1)}
      31:{4,6}:{(21,1),(22,1),(39,1)}
      32:{1,3,5}:{(23,1),(40,1),(41,1),(54,1)}
      33:{3,4}:{(23,1),(25,1),(40,1),(42,1)}
      34:{3,6}:{(23,1),(24,1)}
      35:{2,4}:{(25,1),(30,1),(42,1)}
      36:{4,6}:{(25,1),(26,1),(45,1)}
      37:{4}:{(27,1)}
      38:{2,3,6}:{(27,1),(28,1),(29,1),(46,1)}
      39:{2,6}:{(30,1),(31,1)}
      40:{1,4}:{(32,1),(33,1),(47,1)}
      41:{1,3,6}:{(32,1),(34,1),(48,1),(59,1)}
      42:{2,3}:{(33,1),(35,1),(47,1)}
      43:{3,4,6}:{(33,1),(34,1),(36,1),(48,1),(49,1),(50,1),(57,1),(59,1)}
      44:{2,4,6}:{(35,1),(36,1),(39,1),(49,1),(51,1),(57,1)}
      45:{4,5}:{(36,1),(50,1),(51,1),(52,1),(57,1)}
      46:{4,6}:{(37,1),(38,1),(52,1)}
      47:{1,2}:{(40,1),(42,1)}
      48:{1,4,6}:{(40,1),(41,1),(43,1),(53,1),(54,1),(58,1)}
      49:{2,3,6}:{(42,1),(43,1),(44,1),(53,1),(55,1)}
      50:{3,5}:{(43,1),(45,1),(54,1)}
      51:{2,5}:{(44,1),(45,1)}
      52:{5}:{(46,1)}
      53:{1,2,6}:{(47,1),(48,1),(49,1),(56,1)}
      54:{1,5}:{(48,1),(50,1)}
      55:{2,3,5}:{(49,1),(50,1),(51,1),(56,1),(57,1),(59,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(55,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

170 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(8,1),(10,1),(13,1),(25,1),(41,1),(52,1),(56,1),(59,1)}
       1:{1,4}:{(0,1),(5,1),(32,1)}
       2:{1,2,3,6}:{(0,1),(6,1),(15,1),(16,1),(18,1),(45,1),(55,1)}
       3:{1,4,5}:{(1,1),(7,1),(8,1),(9,1),(13,1),(21,1),(27,1),(35,1)}
       4:{1,2,4}:{(1,1),(7,1),(10,1),(21,1),(39,1),(52,1)}
       5:{3,4}:{(1,1),(8,1),(10,1),(21,1),(59,1)}
       6:{1,4,6}:{(1,1),(2,1),(12,1),(13,1)}
       7:{1,2,5}:{(3,1),(4,1),(14,1),(15,1),(34,1)}
       8:{3,5}:{(3,1),(5,1),(16,1)}
       9:{1,4,6}:{(3,1),(15,1),(16,1),(17,1),(28,1),(31,1)}
      10:{2,3}:{(4,1),(5,1)}
      11:{1,2,4,6}:{(4,1),(6,1),(15,1),(18,1),(19,1),(28,1),(30,1),(32,1),(43,1),(55,1),(58,1)}
      12:{3,4,6}:{(5,1),(6,1),(16,1),(18,1),(20,1),(28,1),(31,1),(32,1)}
      13:{1,5}:{(6,1),(20,1)}
      14:{2,3,5}:{(7,1),(8,1),(10,1),(21,1),(22,1),(35,1)}
      15:{1,2,6}:{(7,1),(9,1),(22,1),(38,1)}
      16:{3,6}:{(8,1),(9,1)}
      17:{1,5,6}:{(9,1),(13,1),(24,1),(35,1)}
      18:{2,3,6}:{(10,1),(11,1),(12,1),(25,1),(37,1),(38,1),(59,1)}
      19:{1,2,5}:{(11,1),(13,1),(25,1),(26,1),(35,1),(48,1),(52,1)}
      20:{3,5}:{(12,1),(13,1),(27,1),(35,1)}
      21:{4}:{(14,1)}
      22:{2,3,6}:{(14,1),(15,1),(16,1),(28,1)}
      23:{1,2,5,6}:{(15,1),(17,1),(19,1),(29,1),(30,1),(54,1),(55,1)}
      24:{3,5,6}:{(16,1),(17,1),(20,1),(31,1)}
      25:{2,3,5}:{(18,1),(19,1),(20,1),(32,1),(33,1),(34,1),(46,1)}
      26:{1,4,5}:{(19,1),(30,1),(32,1),(33,1),(42,1),(47,1),(54,1),(58,1)}
      27:{4,5}:{(20,1),(31,1),(32,1),(34,1)}
      28:{4,6}:{(21,1),(22,1),(35,1)}
      29:{2,3,5,6}:{(22,1),(23,1),(24,1),(25,1),(35,1),(36,1),(37,1),(38,1),(48,1),(49,1),(50,1)}
      30:{1,4,6}:{(23,1),(26,1),(36,1),(37,1)}
      31:{4,6}:{(24,1),(27,1),(38,1)}
      32:{4}:{(25,1)}
      33:{3,5}:{(26,1),(37,1),(40,1),(59,1)}
      34:{2,5}:{(27,1),(38,1),(39,1)}
      35:{5}:{(28,1)}
      36:{4,6}:{(29,1),(32,1),(42,1)}
      37:{3,6}:{(30,1),(33,1)}
      38:{2,6}:{(31,1),(34,1)}
      39:{2,4}:{(32,1),(34,1),(46,1)}
      40:{3,4}:{(32,1),(33,1),(46,1),(47,1)}
      41:{1,3,5}:{(33,1),(45,1),(47,1),(54,1)}
      42:{4,5}:{(35,1),(36,1),(48,1),(49,1),(57,1)}
      43:{2,4,6}:{(36,1),(38,1),(39,1),(48,1),(50,1),(57,1)}
      44:{3,4,6}:{(36,1),(37,1),(40,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      45:{1,3,6}:{(37,1),(41,1),(51,1),(59,1)}
      46:{2,3}:{(39,1),(40,1),(52,1)}
      47:{1,4}:{(40,1),(41,1),(52,1)}
      48:{2,5}:{(42,1),(43,1)}
      49:{3,5}:{(42,1),(44,1),(54,1)}
      50:{2,3,6}:{(43,1),(44,1),(46,1),(53,1),(55,1)}
      51:{1,4,6}:{(44,1),(45,1),(47,1),(54,1),(55,1),(58,1)}
      52:{1,2}:{(46,1),(47,1)}
      53:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{1,2,6}:{(50,1),(51,1),(52,1),(56,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(53,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

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

172 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

173 :  0:{2,4,5}:{(2,1),(3,1),(29,1)}
       1:{4,5,6}:{(4,1),(5,1),(19,1),(68,1)}
       2:{2,4,6}:{(0,1),(4,1),(6,1),(19,1),(70,1)}
       3:{2,3,5}:{(0,1),(6,1),(7,1),(8,1),(21,1)}
       4:{2,5,6}:{(1,1),(2,1),(74,1)}
       5:{3,5,6}:{(1,1),(9,1),(11,1),(60,1)}
       6:{2,3,6}:{(2,1),(3,1),(12,1),(13,1),(63,1)}
       7:{1,2,5}:{(3,1),(12,1),(14,1),(31,1)}
       8:{3,4}:{(3,1),(14,1)}
       9:{3,4,6}:{(5,1),(15,1),(16,1),(17,1),(19,1),(38,1)}
      10:{2,3,5,6}:{(4,1),(5,1),(6,1),(16,1),(18,1),(19,1),(21,1),(37,1),(38,1),(54,1)}
      11:{1,5,6}:{(5,1),(17,1),(53,1)}
      12:{1,2,6}:{(6,1),(7,1),(20,1),(56,1)}
      13:{3,4,6}:{(6,1),(8,1),(19,1),(20,1),(21,1),(38,1),(55,1)}
      14:{1,4}:{(7,1),(8,1),(22,1)}
      15:{3,4,5}:{(9,1),(23,1),(24,1),(29,1),(47,1),(58,1),(60,1),(62,1)}
      16:{2,3,6}:{(9,1),(23,1),(26,1),(27,1)}
      17:{1,4,6}:{(9,1),(11,1),(24,1),(25,1),(26,1)}
      18:{1,2,5,6}:{(10,1),(11,1),(12,1),(26,1),(28,1),(31,1),(46,1)}
      19:{4,6}:{(10,1),(29,1),(62,1)}
      20:{1,4,6}:{(12,1),(13,1),(14,1),(30,1),(31,1),(48,1)}
      21:{3,5}:{(13,1),(29,1),(31,1)}
      22:{1,3}:{(14,1)}
      23:{2,3,5}:{(15,1),(16,1),(33,1),(34,1),(37,1),(51,1)}
      24:{1,4,5}:{(15,1),(17,1),(32,1),(33,1),(50,1),(53,1)}
      25:{1,3,6}:{(17,1),(32,1),(38,1)}
      26:{1,2,6}:{(16,1),(17,1),(33,1)}
      27:{2,4,6}:{(16,1),(19,1),(34,1),(37,1)}
      28:{1,4,6}:{(18,1),(19,1),(38,1),(39,1)}
      29:{4,5}:{(19,1),(21,1),(37,1)}
      30:{1,3,6}:{(20,1),(22,1),(38,1),(40,1)}
      31:{1,5}:{(20,1),(21,1)}
      32:{1,3,5}:{(24,1),(25,1),(41,1),(47,1)}
      33:{1,2,5}:{(23,1),(24,1),(26,1),(43,1)}
      34:{2,4}:{(23,1),(62,1)}
      35:{1,2,3,6}:{(25,1),(26,1),(42,1),(44,1),(45,1),(72,1),(73,1)}
      36:{1,2,4,6}:{(26,1),(27,1),(28,1),(43,1),(44,1),(45,1),(46,1),(62,1)}
      37:{2,5}:{(27,1),(29,1)}
      38:{3,6}:{(28,1),(47,1)}
      39:{1,4,5}:{(28,1),(29,1),(31,1),(46,1),(47,1),(48,1),(62,1)}
      40:{1,3,5}:{(30,1),(31,1),(47,1),(48,1)}
      41:{1,3,4}:{(32,1),(49,1),(50,1),(55,1)}
      42:{1,2,3,5}:{(32,1),(33,1),(35,1),(49,1),(50,1),(51,1),(53,1),(54,1),(65,1),(66,1)}
      43:{1,2,4}:{(33,1),(34,1),(50,1),(51,1)}
      44:{1,4,6}:{(35,1),(50,1),(52,1),(53,1)}
      45:{2,3,6}:{(36,1),(38,1),(51,1),(52,1),(54,1),(78,1)}
      46:{1,2,5}:{(36,1),(37,1),(39,1),(53,1),(54,1),(56,1)}
      47:{3,5}:{(38,1),(39,1),(55,1)}
      48:{1,4}:{(40,1),(55,1),(56,1)}
      49:{1,2,3}:{(41,1),(57,1),(63,1)}
      50:{1,4}:{(42,1),(58,1),(62,1)}
      51:{2,3}:{(43,1),(58,1)}
      52:{3,4,6}:{(44,1),(45,1),(58,1),(60,1),(62,1),(73,1),(75,1)}
      53:{1,5}:{(44,1),(60,1)}
      54:{2,3,5}:{(45,1),(46,1),(47,1),(60,1),(62,1),(63,1),(74,1)}
      55:{3,4}:{(47,1),(48,1),(62,1),(63,1)}
      56:{1,2}:{(48,1),(63,1)}
      57:{1,2,4}:{(49,1),(50,1),(64,1),(65,1),(70,1)}
      58:{3,4}:{(50,1),(51,1),(66,1)}
      59:{1,4,5}:{(50,1),(53,1),(65,1),(66,1),(67,1),(68,1),(76,1)}
      60:{3,5}:{(52,1),(53,1),(68,1)}
      61:{1,5,6}:{(53,1),(67,1),(69,1),(80,1)}
      62:{4}:{(54,1)}
      63:{2,3}:{(55,1),(56,1),(70,1)}
      64:{2,3,4}:{(57,1),(58,1),(71,1)}
      65:{1,2,5}:{(57,1),(59,1),(71,1),(72,1),(74,1)}
      66:{3,5}:{(58,1),(59,1),(73,1)}
      67:{1,4,6}:{(59,1),(61,1),(72,1),(73,1),(75,1),(79,1)}
      68:{4,5}:{(60,1),(62,1),(74,1),(75,1)}
      69:{3,5,6}:{(60,1),(61,1),(73,1),(75,1)}
      70:{2,4}:{(62,1),(63,1),(74,1)}
      71:{2,3,5}:{(64,1),(65,1),(66,1),(76,1),(77,1)}
      72:{1,2,6}:{(65,1),(67,1),(77,1),(78,1)}
      73:{3,6}:{(66,1),(67,1)}
      74:{2,5}:{(68,1),(70,1),(78,1)}
      75:{4,6}:{(68,1),(69,1),(78,1)}
      76:{4,5}:{(71,1),(79,1)}
      77:{2,3,6}:{(71,1),(72,1),(73,1),(79,1)}
      78:{2,6}:{(74,1),(75,1)}
      79:{4,6}:{(76,1),(77,1),(80,1)}
      80:{5,6}:{(79,1)}

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

175 :  0:{4,5,6}:{(1,1),(2,1),(16,1),(73,1)}
       1:{2,5,6}:{(0,1),(5,1),(77,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1),(65,1)}
       3:{2,4,5}:{(5,1),(9,1),(29,1)}
       4:{3,4,5}:{(6,1),(10,1),(11,1),(29,1),(50,1),(51,1),(65,1),(67,1)}
       5:{2,4,6}:{(1,1),(3,1),(12,1),(16,1),(75,1)}
       6:{3,4,6}:{(2,1),(4,1),(13,1),(14,1),(16,1),(39,1)}
       7:{2,3,5,6}:{(1,1),(2,1),(12,1),(13,1),(15,1),(16,1),(35,1),(38,1),(39,1),(58,1)}
       8:{1,5,6}:{(2,1),(14,1),(57,1)}
       9:{2,3,5}:{(3,1),(12,1),(17,1),(18,1),(35,1)}
      10:{2,3,5}:{(4,1),(13,1),(20,1),(21,1),(38,1),(43,1)}
      11:{1,4,5}:{(4,1),(14,1),(19,1),(20,1),(42,1),(57,1)}
      12:{2,3,6}:{(5,1),(9,1),(23,1),(24,1),(68,1)}
      13:{2,3,6}:{(6,1),(10,1),(26,1),(27,1)}
      14:{1,4,6}:{(6,1),(8,1),(11,1),(25,1),(26,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(23,1),(26,1),(28,1),(46,1),(49,1)}
      16:{4,6}:{(7,1),(29,1),(67,1)}
      17:{1,2,5}:{(9,1),(23,1),(30,1),(46,1)}
      18:{3,4}:{(9,1),(30,1)}
      19:{1,3,5}:{(11,1),(22,1),(25,1),(50,1)}
      20:{1,2,5}:{(10,1),(11,1),(26,1),(32,1)}
      21:{2,4}:{(10,1),(67,1)}
      22:{1,3,4}:{(19,1),(33,1),(42,1),(59,1)}
      23:{1,2,6}:{(12,1),(17,1),(34,1),(72,1)}
      24:{3,4,6}:{(12,1),(16,1),(18,1),(34,1),(35,1),(39,1),(59,1)}
      25:{1,3,6}:{(14,1),(19,1),(39,1)}
      26:{1,2,6}:{(13,1),(14,1),(20,1)}
      27:{2,4,6}:{(13,1),(16,1),(21,1),(38,1)}
      28:{1,4,6}:{(15,1),(16,1),(39,1),(40,1)}
      29:{4,5}:{(16,1),(35,1),(38,1)}
      30:{1,4}:{(17,1),(18,1),(41,1)}
      31:{1,2,3,5}:{(19,1),(20,1),(33,1),(36,1),(42,1),(43,1),(54,1),(57,1),(58,1),(60,1)}
      32:{1,2,4}:{(20,1),(21,1),(42,1),(43,1)}
      33:{1,2,3}:{(22,1),(44,1),(68,1)}
      34:{1,4,6}:{(23,1),(24,1),(30,1),(45,1),(46,1),(64,1)}
      35:{3,5}:{(24,1),(29,1),(46,1)}
      36:{1,2,3,6}:{(25,1),(26,1),(31,1),(47,1),(48,1),(63,1),(69,1)}
      37:{1,2,4,6}:{(26,1),(27,1),(28,1),(32,1),(47,1),(48,1),(49,1),(67,1)}
      38:{2,5}:{(27,1),(29,1)}
      39:{3,6}:{(28,1),(50,1)}
      40:{1,4,5}:{(28,1),(29,1),(46,1),(49,1),(50,1),(64,1),(67,1)}
      41:{1,3}:{(30,1)}
      42:{1,4}:{(31,1),(51,1),(67,1)}
      43:{2,3}:{(32,1),(51,1)}
      44:{1,2,4}:{(33,1),(42,1),(53,1),(54,1),(75,1)}
      45:{1,3,6}:{(34,1),(39,1),(41,1),(55,1)}
      46:{1,5}:{(34,1),(35,1)}
      47:{1,4,6}:{(36,1),(42,1),(56,1),(57,1)}
      48:{2,3,6}:{(37,1),(39,1),(43,1),(56,1),(58,1),(80,1)}
      49:{1,2,5}:{(37,1),(38,1),(40,1),(57,1),(58,1),(72,1)}
      50:{3,5}:{(39,1),(40,1),(59,1)}
      51:{3,4}:{(42,1),(43,1),(60,1)}
      52:{1,4,5}:{(42,1),(54,1),(57,1),(60,1),(61,1),(70,1),(73,1)}
      53:{2,3,4}:{(44,1),(51,1),(62,1)}
      54:{1,2,5}:{(44,1),(52,1),(62,1),(63,1),(77,1)}
      55:{1,3,5}:{(45,1),(46,1),(50,1),(64,1)}
      56:{3,4,6}:{(47,1),(48,1),(51,1),(65,1),(67,1),(69,1),(78,1)}
      57:{1,5}:{(47,1),(65,1)}
      58:{2,3,5}:{(48,1),(49,1),(50,1),(65,1),(67,1),(68,1),(77,1)}
      59:{3,4}:{(50,1),(64,1),(67,1),(68,1)}
      60:{3,5}:{(51,1),(52,1),(69,1)}
      61:{1,4,6}:{(52,1),(63,1),(66,1),(69,1),(76,1),(78,1)}
      62:{2,3,5}:{(53,1),(54,1),(60,1),(70,1),(71,1)}
      63:{1,2,6}:{(54,1),(61,1),(71,1),(80,1)}
      64:{1,4}:{(55,1),(59,1),(72,1)}
      65:{3,5}:{(56,1),(57,1),(73,1)}
      66:{1,5,6}:{(57,1),(61,1),(74,1),(79,1)}
      67:{4}:{(58,1)}
      68:{2,3}:{(59,1),(72,1),(75,1)}
      69:{3,6}:{(60,1),(61,1)}
      70:{4,5}:{(62,1),(76,1)}
      71:{2,3,6}:{(62,1),(63,1),(69,1),(76,1)}
      72:{1,2}:{(64,1),(68,1)}
      73:{4,5}:{(65,1),(67,1),(77,1),(78,1)}
      74:{3,5,6}:{(65,1),(66,1),(69,1),(78,1)}
      75:{2,4}:{(67,1),(68,1),(77,1)}
      76:{4,6}:{(70,1),(71,1),(79,1)}
      77:{2,5}:{(73,1),(75,1),(80,1)}
      78:{4,6}:{(73,1),(74,1),(80,1)}
      79:{5,6}:{(76,1)}
      80:{2,6}:{(77,1),(78,1)}

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

177 :  0:{2,3,4}:{(1,1),(2,1),(21,1)}
       1:{1,2,4}:{(0,1),(4,1),(5,1),(16,1),(60,1)}
       2:{2,3,5}:{(0,1),(3,1),(5,1),(6,1),(14,1)}
       3:{4,5}:{(2,1),(9,1)}
       4:{1,2,3}:{(1,1),(7,1),(67,1)}
       5:{1,2,5}:{(1,1),(2,1),(8,1),(11,1),(53,1)}
       6:{2,3,6}:{(2,1),(9,1),(11,1),(22,1)}
       7:{1,3,4}:{(4,1),(12,1),(16,1),(61,1)}
       8:{1,4,5}:{(3,1),(5,1),(14,1),(15,1),(16,1),(32,1),(46,1)}
       9:{4,6}:{(3,1),(6,1),(13,1)}
      10:{1,2,3,5}:{(4,1),(5,1),(12,1),(14,1),(16,1),(17,1),(26,1),(29,1),(32,1),(47,1)}
      11:{1,2,6}:{(5,1),(6,1),(15,1),(45,1)}
      12:{1,3,5}:{(7,1),(18,1),(19,1),(55,1)}
      13:{5,6}:{(9,1)}
      14:{3,5}:{(8,1),(21,1),(22,1)}
      15:{1,4,6}:{(8,1),(9,1),(11,1),(20,1),(22,1),(37,1)}
      16:{1,4}:{(10,1),(21,1),(54,1)}
      17:{1,2,3,6}:{(10,1),(11,1),(19,1),(22,1),(24,1),(35,1),(38,1)}
      18:{1,4,5}:{(12,1),(16,1),(25,1),(26,1),(27,1),(32,1)}
      19:{1,3,6}:{(12,1),(27,1),(59,1)}
      20:{1,5,6}:{(13,1),(15,1),(28,1),(32,1)}
      21:{3,4}:{(14,1),(16,1),(29,1)}
      22:{3,6}:{(14,1),(15,1)}
      23:{1,2,4}:{(16,1),(26,1),(29,1),(41,1)}
      24:{1,4,6}:{(16,1),(17,1),(30,1),(32,1)}
      25:{3,4,5}:{(18,1),(21,1),(33,1),(34,1),(39,1),(54,1),(55,1),(63,1)}
      26:{1,2,5}:{(18,1),(23,1),(33,1),(35,1)}
      27:{1,4,6}:{(18,1),(19,1),(34,1),(35,1),(36,1)}
      28:{3,5,6}:{(20,1),(22,1),(37,1),(39,1)}
      29:{2,3}:{(21,1),(23,1)}
      30:{3,4,6}:{(21,1),(22,1),(24,1),(37,1),(38,1),(39,1),(54,1)}
      31:{1,2,4,6}:{(23,1),(24,1),(35,1),(38,1),(40,1),(49,1),(52,1),(54,1)}
      32:{1,5}:{(24,1),(39,1)}
      33:{2,3,5}:{(25,1),(26,1),(29,1),(41,1),(42,1),(56,1)}
      34:{3,4,6}:{(25,1),(27,1),(42,1),(43,1),(58,1),(59,1)}
      35:{1,2,6}:{(26,1),(27,1),(42,1)}
      36:{1,5,6}:{(27,1),(32,1),(43,1)}
      37:{4,6}:{(28,1),(45,1),(46,1)}
      38:{2,3,6}:{(29,1),(30,1),(31,1),(45,1),(47,1),(59,1)}
      39:{3,5}:{(30,1),(32,1),(46,1)}
      40:{1,2,5}:{(31,1),(32,1),(47,1),(48,1),(56,1),(73,1)}
      41:{2,4}:{(33,1),(54,1)}
      42:{2,3,6}:{(33,1),(34,1),(35,1),(49,1)}
      43:{3,5,6}:{(34,1),(36,1),(39,1),(50,1)}
      44:{1,2,5,6}:{(35,1),(36,1),(40,1),(51,1),(52,1),(75,1),(76,1)}
      45:{2,6}:{(37,1),(53,1)}
      46:{4,5}:{(37,1),(39,1),(53,1),(54,1)}
      47:{2,3,5}:{(38,1),(39,1),(40,1),(53,1),(54,1),(55,1),(67,1)}
      48:{1,4,5}:{(40,1),(52,1),(54,1),(55,1),(63,1),(68,1),(75,1)}
      49:{2,4,6}:{(41,1),(42,1),(56,1),(58,1)}
      50:{4,5,6}:{(43,1),(46,1),(57,1),(58,1)}
      51:{2,3,5,6}:{(42,1),(43,1),(44,1),(47,1),(56,1),(57,1),(58,1),(59,1),(70,1),(71,1)}
      52:{1,4,6}:{(44,1),(48,1),(58,1),(59,1)}
      53:{2,5}:{(45,1),(46,1),(60,1)}
      54:{4}:{(47,1)}
      55:{3,5}:{(48,1),(59,1),(61,1)}
      56:{2,5}:{(49,1),(63,1)}
      57:{2,5,6}:{(50,1),(53,1),(64,1)}
      58:{4,6}:{(51,1),(54,1),(63,1)}
      59:{3,6}:{(52,1),(55,1)}
      60:{2,4}:{(53,1),(54,1),(67,1)}
      61:{3,4}:{(54,1),(55,1),(67,1),(68,1)}
      62:{1,3,5}:{(55,1),(66,1),(68,1),(75,1)}
      63:{4,5}:{(56,1),(58,1),(70,1)}
      64:{2,4,6}:{(57,1),(58,1),(60,1),(69,1),(71,1)}
      65:{3,4,6}:{(58,1),(59,1),(61,1),(70,1),(71,1),(72,1),(77,1)}
      66:{1,3,6}:{(59,1),(62,1),(72,1),(80,1)}
      67:{2,3}:{(60,1),(61,1),(73,1)}
      68:{1,4}:{(61,1),(62,1),(73,1)}
      69:{2,4,5}:{(63,1),(64,1),(74,1)}
      70:{3,5}:{(63,1),(65,1),(75,1)}
      71:{2,3,6}:{(64,1),(65,1),(67,1),(74,1),(76,1)}
      72:{1,4,6}:{(65,1),(66,1),(68,1),(75,1),(76,1),(79,1)}
      73:{1,2}:{(67,1),(68,1)}
      74:{2,3,5}:{(69,1),(70,1),(71,1),(77,1),(78,1)}
      75:{1,5}:{(70,1),(72,1)}
      76:{1,2,6}:{(71,1),(72,1),(73,1),(78,1)}
      77:{3,4}:{(74,1),(79,1)}
      78:{1,2,5}:{(74,1),(75,1),(76,1),(79,1)}
      79:{1,4}:{(77,1),(78,1),(80,1)}
      80:{1,3}:{(79,1)}

178 :  0:{1,3,5}:{(3,1),(4,1),(6,1),(21,1)}
       1:{1,4,5}:{(3,1),(5,1),(6,1),(7,1),(21,1),(22,1),(39,1),(40,1),(42,1)}
       2:{1,2,4}:{(5,1),(8,1),(22,1),(25,1),(39,1),(53,1),(62,1)}
       3:{1,4}:{(0,1),(9,1),(10,1)}
       4:{1,3,6}:{(0,1),(11,1),(14,1),(48,1)}
       5:{1,2,5}:{(1,1),(2,1),(9,1),(12,1),(13,1),(34,1),(49,1)}
       6:{3,5}:{(1,1),(10,1),(14,1),(48,1)}
       7:{1,4,6}:{(1,1),(13,1),(14,1),(15,1),(32,1),(33,1)}
       8:{2,3}:{(2,1),(17,1),(48,1)}
       9:{1,2}:{(3,1),(18,1)}
      10:{3,4}:{(3,1),(6,1),(18,1),(22,1)}
      11:{1,4,6}:{(3,1),(4,1),(19,1),(20,1),(21,1),(39,1)}
      12:{2,3,5}:{(5,1),(6,1),(8,1),(18,1),(22,1),(23,1),(26,1),(36,1),(42,1)}
      13:{1,2,6}:{(5,1),(7,1),(23,1),(43,1),(44,1)}
      14:{3,6}:{(6,1),(7,1)}
      15:{1,5,6}:{(7,1),(21,1),(24,1),(42,1)}
      16:{1,2,3}:{(8,1),(25,1),(55,1),(62,1)}
      17:{3,4}:{(8,1),(22,1),(25,1),(26,1)}
      18:{2,3}:{(9,1),(10,1),(27,1)}
      19:{1,2,6}:{(9,1),(11,1),(28,1),(29,1),(63,1)}
      20:{3,4,6}:{(10,1),(11,1),(14,1),(28,1),(30,1),(32,1),(33,1),(47,1),(48,1)}
      21:{1,5}:{(11,1),(30,1)}
      22:{4}:{(12,1)}
      23:{2,3,6}:{(12,1),(13,1),(14,1),(32,1),(35,1),(45,1)}
      24:{3,5,6}:{(14,1),(15,1),(30,1),(33,1)}
      25:{1,4}:{(16,1),(17,1),(34,1)}
      26:{3,5}:{(17,1),(31,1),(34,1),(35,1)}
      27:{2,4}:{(18,1),(22,1),(36,1)}
      28:{2,3,6}:{(18,1),(19,1),(20,1),(37,1),(38,1),(43,1),(60,1)}
      29:{1,2,5}:{(19,1),(21,1),(38,1),(39,1),(61,1),(62,1)}
      30:{3,5}:{(20,1),(21,1),(40,1),(42,1)}
      31:{4,5}:{(22,1),(26,1),(36,1),(41,1),(42,1)}
      32:{4,6}:{(22,1),(23,1),(42,1)}
      33:{4,6}:{(24,1),(40,1),(43,1)}
      34:{1,5}:{(25,1),(26,1),(44,1)}
      35:{3,6}:{(26,1),(41,1),(44,1)}
      36:{2,5}:{(27,1),(31,1),(45,1)}
      37:{2,4,6}:{(27,1),(28,1),(32,1),(45,1),(46,1),(47,1),(56,1)}
      38:{2,3,5}:{(28,1),(29,1),(30,1),(46,1),(47,1),(48,1),(49,1),(57,1),(58,1)}
      39:{1,4}:{(29,1),(47,1),(48,1)}
      40:{4,5}:{(30,1),(33,1),(47,1),(49,1)}
      41:{4,6}:{(31,1),(35,1),(45,1),(50,1)}
      42:{5}:{(32,1)}
      43:{2,6}:{(33,1),(49,1)}
      44:{1,6}:{(34,1),(35,1)}
      45:{2,6}:{(36,1),(41,1)}
      46:{2,5}:{(37,1),(42,1),(52,1)}
      47:{4}:{(38,1)}
      48:{3}:{(39,1)}
      49:{2,5}:{(40,1),(43,1),(53,1)}
      50:{5,6}:{(41,1),(42,1)}
      51:{2,5,6}:{(45,1),(46,1),(50,1),(56,1)}
      52:{4,5}:{(46,1),(47,1),(56,1),(57,1)}
      53:{2,4}:{(47,1),(49,1),(58,1)}
      54:{3,4}:{(47,1),(48,1),(57,1),(58,1),(59,1)}
      55:{1,3}:{(48,1),(59,1)}
      56:{4,6}:{(51,1),(52,1),(60,1)}
      57:{3,5}:{(52,1),(54,1),(60,1),(61,1)}
      58:{2,3}:{(53,1),(54,1),(62,1)}
      59:{1,4}:{(54,1),(55,1),(61,1),(62,1)}
      60:{3,6}:{(56,1),(57,1),(63,1)}
      61:{1,5}:{(57,1),(59,1),(63,1)}
      62:{1,2}:{(58,1),(59,1)}
      63:{1,6}:{(60,1),(61,1)}

179 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(29,1),(35,1),(54,1),(56,1),(57,1)}
       1:{2,3,5}:{(0,1),(5,1),(6,1),(7,1),(22,1),(25,1)}
       2:{1,4,5}:{(0,1),(4,1),(5,1),(8,1),(20,1),(43,1)}
       3:{3,4,6}:{(0,1),(7,1),(8,1),(9,1),(26,1),(46,1)}
       4:{1,3,5}:{(2,1),(10,1),(12,1),(57,1)}
       5:{1,2,5}:{(1,1),(2,1),(13,1),(14,1)}
       6:{2,4}:{(1,1),(56,1)}
       7:{2,3,6}:{(1,1),(3,1),(14,1),(15,1)}
       8:{1,4,6}:{(2,1),(3,1),(12,1),(14,1),(17,1)}
       9:{3,5,6}:{(3,1),(17,1),(18,1),(54,1)}
      10:{1,3,4}:{(4,1),(19,1),(20,1),(67,1)}
      11:{1,2,3,5}:{(4,1),(5,1),(19,1),(20,1),(21,1),(22,1),(39,1),(40,1),(43,1),(44,1)}
      12:{1,3,6}:{(4,1),(8,1),(46,1)}
      13:{1,2,4}:{(5,1),(6,1),(20,1),(22,1)}
      14:{1,2,6}:{(5,1),(7,1),(8,1)}
      15:{2,4,6}:{(6,1),(7,1),(25,1),(26,1)}
      16:{2,3,5,6}:{(7,1),(9,1),(24,1),(25,1),(26,1),(27,1),(44,1),(46,1),(48,1),(49,1)}
      17:{1,5,6}:{(8,1),(9,1),(43,1)}
      18:{4,5,6}:{(9,1),(26,1),(27,1),(65,1)}
      19:{1,2,3}:{(10,1),(28,1),(74,1)}
      20:{1,4}:{(11,1),(29,1),(56,1)}
      21:{1,2,3,6}:{(11,1),(12,1),(14,1),(31,1),(32,1),(52,1),(53,1)}
      22:{2,3}:{(13,1),(29,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(15,1),(31,1),(32,1),(33,1),(34,1),(56,1)}
      24:{1,2,5,6}:{(14,1),(16,1),(17,1),(33,1),(34,1),(60,1),(61,1)}
      25:{2,5}:{(15,1),(35,1)}
      26:{4,6}:{(16,1),(35,1),(56,1)}
      27:{2,5,6}:{(18,1),(36,1),(73,1)}
      28:{1,2,4}:{(19,1),(20,1),(38,1),(39,1),(66,1)}
      29:{3,4}:{(20,1),(22,1),(40,1)}
      30:{1,4,5}:{(20,1),(39,1),(40,1),(42,1),(43,1),(62,1),(65,1)}
      31:{1,4,6}:{(20,1),(21,1),(41,1),(43,1)}
      32:{2,3,6}:{(22,1),(23,1),(41,1),(44,1),(46,1),(78,1)}
      33:{1,2,5}:{(23,1),(25,1),(43,1),(44,1),(45,1),(79,1)}
      34:{1,4,6}:{(24,1),(26,1),(45,1),(46,1)}
      35:{4,5}:{(25,1),(26,1),(48,1)}
      36:{2,4,6}:{(26,1),(27,1),(47,1),(49,1),(66,1)}
      37:{3,4,6}:{(26,1),(46,1),(48,1),(49,1),(50,1),(67,1),(70,1)}
      38:{2,3,4}:{(28,1),(29,1),(51,1)}
      39:{1,2,5}:{(28,1),(30,1),(51,1),(52,1),(73,1)}
      40:{3,5}:{(29,1),(30,1),(53,1)}
      41:{3,4,6}:{(29,1),(31,1),(32,1),(53,1),(54,1),(56,1),(72,1)}
      42:{1,4,6}:{(30,1),(52,1),(53,1),(55,1),(71,1),(72,1)}
      43:{1,5}:{(31,1),(54,1)}
      44:{2,3,5}:{(32,1),(33,1),(54,1),(56,1),(57,1),(73,1),(74,1)}
      45:{1,4,5}:{(33,1),(34,1),(35,1),(56,1),(57,1),(60,1),(75,1)}
      46:{3,6}:{(34,1),(57,1)}
      47:{2,4,5}:{(35,1),(36,1),(59,1)}
      48:{3,5}:{(35,1),(37,1),(60,1)}
      49:{2,3,6}:{(36,1),(37,1),(59,1),(61,1),(74,1)}
      50:{1,4,6}:{(37,1),(58,1),(60,1),(61,1),(75,1),(76,1)}
      51:{2,3,5}:{(38,1),(39,1),(40,1),(62,1),(63,1)}
      52:{1,2,6}:{(39,1),(42,1),(63,1),(78,1)}
      53:{3,6}:{(40,1),(42,1)}
      54:{3,5}:{(41,1),(43,1),(65,1)}
      55:{1,5,6}:{(42,1),(43,1),(64,1),(77,1)}
      56:{4}:{(44,1)}
      57:{3,5}:{(45,1),(46,1),(67,1)}
      58:{1,3,6}:{(46,1),(50,1),(68,1),(80,1)}
      59:{2,3,5}:{(47,1),(48,1),(49,1),(69,1),(70,1)}
      60:{1,5}:{(48,1),(50,1)}
      61:{1,2,6}:{(49,1),(50,1),(69,1),(79,1)}
      62:{4,5}:{(51,1),(71,1)}
      63:{2,3,6}:{(51,1),(52,1),(53,1),(71,1)}
      64:{3,5,6}:{(53,1),(54,1),(55,1),(72,1)}
      65:{4,5}:{(54,1),(56,1),(72,1),(73,1)}
      66:{2,4}:{(56,1),(73,1),(74,1)}
      67:{3,4}:{(56,1),(57,1),(74,1),(75,1)}
      68:{1,3,5}:{(57,1),(58,1),(60,1),(75,1)}
      69:{1,2,5}:{(59,1),(60,1),(61,1),(76,1)}
      70:{3,4}:{(59,1),(76,1)}
      71:{4,6}:{(62,1),(63,1),(77,1)}
      72:{4,6}:{(64,1),(65,1),(78,1)}
      73:{2,5}:{(65,1),(66,1),(78,1)}
      74:{2,3}:{(66,1),(67,1),(79,1)}
      75:{1,4}:{(67,1),(68,1),(79,1)}
      76:{1,4}:{(69,1),(70,1),(80,1)}
      77:{5,6}:{(71,1)}
      78:{2,6}:{(72,1),(73,1)}
      79:{1,2}:{(74,1),(75,1)}
      80:{1,3}:{(76,1)}

180 :  0:{2,4,6}:{(3,1),(4,1),(19,1),(21,1),(44,1),(51,1),(60,1)}
       1:{3,4,6}:{(3,1),(5,1),(6,1),(8,1),(21,1),(26,1),(37,1),(40,1),(44,1)}
       2:{3,5,6}:{(6,1),(7,1),(8,1),(26,1)}
       3:{2,3,6}:{(0,1),(1,1),(11,1),(12,1),(17,1),(28,1),(45,1)}
       4:{2,5}:{(0,1),(13,1),(50,1)}
       5:{1,4,6}:{(1,1),(9,1),(11,1),(14,1),(27,1),(29,1)}
       6:{3,5}:{(1,1),(14,1),(15,1),(50,1)}
       7:{1,5,6}:{(2,1),(14,1),(16,1),(50,1)}
       8:{4,6}:{(2,1),(15,1),(17,1)}
       9:{1,3,6}:{(5,1),(18,1),(26,1),(40,1)}
      10:{2,5,6}:{(4,1),(19,1),(55,1),(60,1)}
      11:{1,2,6}:{(3,1),(5,1),(20,1),(36,1),(38,1)}
      12:{2,3,5}:{(3,1),(4,1),(6,1),(20,1),(21,1),(22,1),(24,1),(40,1),(41,1)}
      13:{4,5}:{(4,1),(19,1),(21,1),(22,1)}
      14:{1,5}:{(5,1),(6,1)}
      15:{4,5}:{(6,1),(8,1),(21,1),(24,1)}
      16:{1,4,6}:{(7,1),(8,1),(23,1),(25,1),(26,1),(44,1)}
      17:{2,6}:{(8,1),(24,1)}
      18:{1,3,5}:{(9,1),(14,1),(27,1),(34,1)}
      19:{4,6}:{(10,1),(13,1),(28,1)}
      20:{1,2,5}:{(11,1),(12,1),(14,1),(29,1),(32,1),(48,1)}
      21:{4}:{(12,1)}
      22:{3,5}:{(13,1),(28,1),(31,1),(32,1)}
      23:{1,4,5}:{(14,1),(15,1),(16,1),(27,1),(29,1),(33,1),(34,1),(49,1),(50,1)}
      24:{2,5}:{(15,1),(17,1),(30,1)}
      25:{1,2,6}:{(16,1),(17,1),(33,1),(35,1),(63,1)}
      26:{3,6}:{(16,1),(34,1)}
      27:{1,4}:{(18,1),(36,1),(37,1)}
      28:{3,6}:{(19,1),(22,1),(38,1)}
      29:{1,4}:{(20,1),(21,1),(40,1)}
      30:{2,4}:{(21,1),(24,1),(41,1)}
      31:{3,4}:{(21,1),(22,1),(40,1),(41,1),(42,1)}
      32:{1,5}:{(22,1),(38,1),(42,1)}
      33:{1,2,5}:{(23,1),(24,1),(25,1),(36,1),(39,1),(43,1),(61,1)}
      34:{3,5}:{(23,1),(26,1),(37,1),(40,1)}
      35:{2,3,6}:{(25,1),(26,1),(43,1),(44,1),(60,1),(62,1)}
      36:{1,2}:{(27,1),(45,1)}
      37:{3,4}:{(27,1),(34,1),(45,1),(49,1)}
      38:{1,6}:{(28,1),(32,1)}
      39:{1,2,4}:{(29,1),(30,1),(33,1),(46,1),(48,1),(49,1),(57,1)}
      40:{3}:{(29,1)}
      41:{2,3}:{(30,1),(31,1),(48,1)}
      42:{1,4}:{(31,1),(32,1),(47,1),(48,1)}
      43:{2,3,5}:{(33,1),(34,1),(35,1),(45,1),(46,1),(49,1),(50,1),(56,1),(58,1)}
      44:{4,6}:{(35,1),(49,1),(50,1)}
      45:{2,3}:{(36,1),(37,1),(51,1)}
      46:{2,3}:{(39,1),(40,1),(53,1)}
      47:{1,3}:{(40,1),(42,1)}
      48:{1,2}:{(41,1),(42,1)}
      49:{4}:{(43,1)}
      50:{5}:{(44,1)}
      51:{2,4}:{(45,1),(49,1),(56,1)}
      52:{1,2,3}:{(46,1),(47,1),(48,1),(57,1)}
      53:{3,4}:{(46,1),(49,1),(57,1),(58,1)}
      54:{4,5}:{(49,1),(50,1),(56,1),(58,1),(59,1)}
      55:{5,6}:{(50,1),(59,1)}
      56:{2,5}:{(51,1),(54,1),(60,1)}
      57:{1,4}:{(52,1),(53,1),(61,1)}
      58:{3,5}:{(53,1),(54,1),(61,1),(62,1)}
      59:{4,6}:{(54,1),(55,1),(60,1),(62,1)}
      60:{2,6}:{(56,1),(59,1)}
      61:{1,5}:{(57,1),(58,1),(63,1)}
      62:{3,6}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

181 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

182 :  0:{1,2,4,6}:{(2,1),(3,1),(5,1),(12,1),(15,1),(18,1),(34,1),(42,1),(51,1),(54,1),(58,1)}
       1:{1,2,5,6}:{(3,1),(4,1),(5,1),(32,1),(41,1),(42,1),(51,1)}
       2:{2,3,6}:{(0,1),(7,1),(8,1),(11,1),(46,1),(47,1),(57,1)}
       3:{1,2,5}:{(0,1),(8,1),(9,1),(21,1),(28,1),(48,1),(59,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(23,1),(28,1),(29,1),(30,1),(47,1),(55,1),(59,1)}
       5:{1,4,6}:{(1,1),(9,1),(10,1),(11,1)}
       6:{1,2,3,6}:{(2,1),(12,1),(13,1),(20,1),(42,1),(51,1),(52,1)}
       7:{3,4,6}:{(2,1),(12,1),(14,1),(15,1),(35,1),(36,1),(52,1),(58,1)}
       8:{2,3,5}:{(2,1),(3,1),(14,1),(15,1),(16,1),(37,1),(38,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(16,1),(17,1),(39,1),(41,1),(54,1)}
      10:{4,6}:{(4,1),(15,1),(17,1)}
      11:{3,6}:{(5,1),(16,1)}
      12:{1,4,6}:{(6,1),(7,1),(21,1),(22,1)}
      13:{1,2,3,5}:{(6,1),(8,1),(21,1),(22,1),(27,1),(44,1),(45,1),(46,1),(48,1),(49,1),(57,1)}
      14:{3,5}:{(7,1),(21,1),(24,1),(59,1)}
      15:{4}:{(8,1)}
      16:{3,5}:{(9,1),(11,1),(26,1),(57,1)}
      17:{4,5}:{(10,1),(28,1),(29,1),(50,1),(59,1)}
      18:{2,4,6}:{(10,1),(25,1),(28,1),(30,1),(47,1),(50,1)}
      19:{3,4,6}:{(10,1),(11,1),(26,1),(29,1),(30,1),(31,1),(50,1),(57,1)}
      20:{1,3,6}:{(11,1),(27,1),(31,1),(57,1)}
      21:{1,5}:{(12,1),(14,1)}
      22:{1,4}:{(13,1),(15,1),(35,1)}
      23:{3,5,6}:{(14,1),(32,1),(36,1),(52,1)}
      24:{4,5}:{(14,1),(15,1),(36,1),(37,1)}
      25:{2,4}:{(15,1),(37,1),(38,1)}
      26:{3,4}:{(15,1),(16,1),(38,1),(39,1)}
      27:{1,3,5}:{(16,1),(20,1),(39,1),(41,1)}
      28:{2,5}:{(17,1),(18,1)}
      29:{3,5}:{(17,1),(19,1),(41,1)}
      30:{2,3,6}:{(18,1),(19,1),(38,1),(40,1),(42,1)}
      31:{1,4,6}:{(19,1),(20,1),(39,1),(41,1),(42,1),(54,1)}
      32:{1,5,6}:{(21,1),(23,1),(43,1),(59,1)}
      33:{1,4,5}:{(21,1),(22,1),(24,1),(43,1),(44,1),(45,1),(56,1),(59,1)}
      34:{1,2,4}:{(22,1),(25,1),(44,1),(46,1),(48,1),(56,1)}
      35:{3,4}:{(22,1),(45,1),(46,1),(56,1),(57,1)}
      36:{4,6}:{(23,1),(24,1),(47,1)}
      37:{2,5}:{(24,1),(25,1),(47,1)}
      38:{2,3}:{(25,1),(26,1),(48,1)}
      39:{1,4}:{(26,1),(27,1),(48,1)}
      40:{2,3,5}:{(28,1),(29,1),(30,1),(49,1),(50,1),(57,1)}
      41:{1,5}:{(29,1),(31,1)}
      42:{1,2,6}:{(30,1),(31,1),(48,1),(49,1)}
      43:{1,4,6}:{(32,1),(33,1),(36,1),(51,1),(52,1),(58,1)}
      44:{1,2,5}:{(33,1),(34,1),(37,1),(51,1),(53,1)}
      45:{3,5}:{(33,1),(35,1),(52,1)}
      46:{2,3}:{(34,1),(35,1)}
      47:{2,6}:{(36,1),(37,1)}
      48:{1,2}:{(38,1),(39,1)}
      49:{1,2,5}:{(40,1),(41,1),(42,1),(54,1)}
      50:{4}:{(40,1)}
      51:{1,2,6}:{(43,1),(44,1),(47,1),(55,1)}
      52:{3,6}:{(43,1),(45,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(55,1),(56,1),(59,1)}
      54:{1,4}:{(49,1),(50,1),(57,1)}
      55:{2,3,6}:{(51,1),(52,1),(53,1),(58,1)}
      56:{4}:{(53,1)}
      57:{3}:{(54,1)}
      58:{4,6}:{(55,1),(56,1),(59,1)}
      59:{5}:{(58,1)}

183 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

184 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(8,1),(10,1),(13,1),(23,1),(40,1),(52,1),(56,1),(59,1)}
       1:{1,4}:{(0,1),(4,1),(30,1)}
       2:{1,2,3,6}:{(0,1),(6,1),(15,1),(16,1),(18,1),(47,1),(55,1)}
       3:{1,2,4}:{(1,1),(7,1),(8,1),(21,1),(37,1),(52,1)}
       4:{3,4}:{(1,1),(7,1),(10,1),(21,1),(59,1)}
       5:{1,4,5}:{(1,1),(8,1),(10,1),(12,1),(13,1),(21,1),(27,1),(35,1)}
       6:{1,4,6}:{(1,1),(2,1),(11,1),(13,1)}
       7:{2,3}:{(3,1),(4,1)}
       8:{1,2,5}:{(3,1),(5,1),(14,1),(16,1),(34,1)}
       9:{1,2,4,6}:{(3,1),(6,1),(15,1),(16,1),(17,1),(28,1),(30,1),(31,1),(43,1),(55,1),(58,1)}
      10:{3,5}:{(4,1),(5,1),(18,1)}
      11:{3,4,6}:{(4,1),(6,1),(15,1),(18,1),(19,1),(28,1),(30,1),(33,1)}
      12:{1,4,6}:{(5,1),(16,1),(18,1),(20,1),(28,1),(33,1)}
      13:{1,5}:{(6,1),(19,1)}
      14:{2,3,5}:{(7,1),(8,1),(10,1),(21,1),(22,1),(35,1)}
      15:{2,3,6}:{(7,1),(9,1),(11,1),(23,1),(39,1),(41,1),(59,1)}
      16:{1,2,6}:{(8,1),(12,1),(22,1),(41,1)}
      17:{1,2,5}:{(9,1),(13,1),(23,1),(25,1),(35,1),(48,1),(52,1)}
      18:{3,6}:{(10,1),(12,1)}
      19:{3,5}:{(11,1),(13,1),(27,1),(35,1)}
      20:{1,5,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{4}:{(14,1)}
      22:{2,3,6}:{(14,1),(16,1),(18,1),(28,1)}
      23:{2,3,5}:{(15,1),(17,1),(19,1),(30,1),(32,1),(34,1),(45,1)}
      24:{1,2,5,6}:{(16,1),(17,1),(20,1),(29,1),(31,1),(54,1),(55,1)}
      25:{1,4,5}:{(17,1),(30,1),(31,1),(32,1),(42,1),(46,1),(54,1),(58,1)}
      26:{3,5,6}:{(18,1),(19,1),(20,1),(33,1)}
      27:{4,5}:{(19,1),(30,1),(33,1),(34,1)}
      28:{4,6}:{(21,1),(22,1),(35,1)}
      29:{2,3,5,6}:{(22,1),(23,1),(24,1),(26,1),(35,1),(36,1),(39,1),(41,1),(48,1),(49,1),(50,1)}
      30:{4}:{(23,1)}
      31:{1,4,6}:{(24,1),(25,1),(36,1),(39,1)}
      32:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      33:{4,6}:{(26,1),(27,1),(41,1)}
      34:{2,5}:{(27,1),(37,1),(41,1)}
      35:{5}:{(28,1)}
      36:{4,6}:{(29,1),(30,1),(42,1)}
      37:{2,4}:{(30,1),(34,1),(45,1)}
      38:{3,4}:{(30,1),(32,1),(45,1),(46,1)}
      39:{3,6}:{(31,1),(32,1)}
      40:{1,3,5}:{(32,1),(46,1),(47,1),(54,1)}
      41:{2,6}:{(33,1),(34,1)}
      42:{4,5}:{(35,1),(36,1),(48,1),(49,1),(57,1)}
      43:{2,4,6}:{(36,1),(37,1),(41,1),(48,1),(50,1),(57,1)}
      44:{3,4,6}:{(36,1),(38,1),(39,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      45:{2,3}:{(37,1),(38,1),(52,1)}
      46:{1,4}:{(38,1),(40,1),(52,1)}
      47:{1,3,6}:{(39,1),(40,1),(51,1),(59,1)}
      48:{2,5}:{(42,1),(43,1)}
      49:{3,5}:{(42,1),(44,1),(54,1)}
      50:{2,3,6}:{(43,1),(44,1),(45,1),(53,1),(55,1)}
      51:{1,4,6}:{(44,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      52:{1,2}:{(45,1),(46,1)}
      53:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{1,2,6}:{(50,1),(51,1),(52,1),(56,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(53,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

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

186 :  0:{1,2,3,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(42,1),(54,1)}
       1:{1,2,4,6}:{(2,1),(4,1),(5,1),(15,1),(18,1),(19,1),(34,1),(38,1),(51,1),(54,1),(58,1)}
       2:{1,4,6}:{(0,1),(6,1),(7,1),(8,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(9,1),(24,1),(25,1),(26,1),(31,1),(50,1),(56,1),(59,1)}
       4:{2,3,6}:{(1,1),(6,1),(9,1),(26,1),(30,1),(43,1),(59,1)}
       5:{1,2,5}:{(1,1),(7,1),(9,1),(11,1),(46,1),(50,1),(55,1)}
       6:{3,4,6}:{(2,1),(4,1),(12,1),(16,1),(18,1),(32,1),(35,1),(51,1)}
       7:{1,5}:{(2,1),(12,1)}
       8:{1,4}:{(3,1),(16,1),(18,1)}
       9:{2,3,5}:{(4,1),(5,1),(12,1),(18,1),(20,1),(33,1),(40,1)}
      10:{1,2,5,6}:{(5,1),(13,1),(17,1),(19,1),(34,1),(53,1),(54,1)}
      11:{1,4,5}:{(5,1),(18,1),(19,1),(20,1),(37,1),(41,1),(53,1),(58,1)}
      12:{3,5}:{(6,1),(7,1),(22,1),(55,1)}
      13:{1,5,6}:{(7,1),(21,1),(23,1),(55,1)}
      14:{1,4,5}:{(7,1),(8,1),(22,1),(23,1),(24,1),(25,1),(45,1),(55,1)}
      15:{1,2,4}:{(8,1),(24,1),(26,1),(28,1),(45,1),(50,1)}
      16:{3,4}:{(8,1),(25,1),(26,1),(45,1),(59,1)}
      17:{2,3,5,6}:{(9,1),(10,1),(21,1),(27,1),(30,1),(43,1),(44,1),(46,1),(47,1),(48,1),(55,1)}
      18:{4}:{(9,1)}
      19:{1,4,6}:{(10,1),(11,1),(27,1),(30,1)}
      20:{3,5}:{(11,1),(29,1),(30,1),(59,1)}
      21:{3,5,6}:{(12,1),(13,1),(32,1),(35,1)}
      22:{4,5}:{(12,1),(18,1),(32,1),(33,1)}
      23:{1,4,6}:{(13,1),(14,1),(32,1),(34,1),(35,1),(51,1)}
      24:{1,2,5}:{(14,1),(15,1),(33,1),(34,1),(36,1)}
      25:{3,5}:{(14,1),(16,1),(35,1)}
      26:{2,3}:{(15,1),(16,1)}
      27:{4,6}:{(17,1),(18,1),(37,1)}
      28:{2,4}:{(18,1),(33,1),(40,1)}
      29:{3,4}:{(18,1),(20,1),(40,1),(41,1)}
      30:{3,6}:{(19,1),(20,1)}
      31:{1,3,5}:{(20,1),(41,1),(42,1),(53,1)}
      32:{4,6}:{(21,1),(22,1),(43,1)}
      33:{2,5}:{(22,1),(28,1),(43,1)}
      34:{1,2,6}:{(23,1),(24,1),(43,1),(44,1)}
      35:{3,6}:{(23,1),(25,1)}
      36:{2,3,5}:{(24,1),(25,1),(26,1),(44,1),(45,1),(55,1)}
      37:{4,5}:{(27,1),(46,1),(47,1),(55,1),(57,1)}
      38:{2,4,6}:{(27,1),(28,1),(43,1),(46,1),(48,1),(57,1)}
      39:{3,4,6}:{(27,1),(29,1),(30,1),(47,1),(48,1),(49,1),(57,1),(59,1)}
      40:{2,3}:{(28,1),(29,1),(50,1)}
      41:{1,4}:{(29,1),(31,1),(50,1)}
      42:{1,3,6}:{(30,1),(31,1),(49,1),(59,1)}
      43:{2,6}:{(32,1),(33,1)}
      44:{2,3,6}:{(34,1),(35,1),(36,1),(51,1)}
      45:{4}:{(36,1)}
      46:{2,5}:{(37,1),(38,1)}
      47:{3,5}:{(37,1),(39,1),(53,1)}
      48:{2,3,6}:{(38,1),(39,1),(40,1),(52,1),(54,1)}
      49:{1,4,6}:{(39,1),(41,1),(42,1),(53,1),(54,1),(58,1)}
      50:{1,2}:{(40,1),(41,1)}
      51:{4,6}:{(44,1),(45,1),(55,1)}
      52:{2,3,5}:{(46,1),(47,1),(48,1),(56,1),(57,1),(59,1)}
      53:{1,5}:{(47,1),(49,1)}
      54:{1,2,6}:{(48,1),(49,1),(50,1),(56,1)}
      55:{5}:{(51,1)}
      56:{1,2,5}:{(52,1),(53,1),(54,1),(58,1)}
      57:{4}:{(52,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

187 :  0:{1,2,3}:{(2,1),(3,1),(62,1),(63,1)}
       1:{1,2,4}:{(2,1),(3,1),(4,1),(14,1),(54,1),(55,1),(63,1)}
       2:{1,4}:{(0,1),(5,1),(6,1)}
       3:{2,3}:{(1,1),(5,1),(59,1)}
       4:{1,2,5}:{(1,1),(6,1),(7,1),(8,1),(9,1),(35,1),(50,1)}
       5:{3,4}:{(2,1),(3,1),(10,1),(14,1)}
       6:{1,5}:{(2,1),(10,1),(11,1)}
       7:{1,4,5}:{(4,1),(12,1),(13,1),(14,1),(26,1),(32,1),(43,1),(45,1),(54,1)}
       8:{2,3,5}:{(3,1),(4,1),(10,1),(12,1),(14,1),(15,1),(24,1),(29,1),(32,1)}
       9:{1,2,6}:{(4,1),(11,1),(13,1),(15,1),(44,1)}
      10:{3,5}:{(5,1),(6,1),(16,1),(17,1)}
      11:{1,6}:{(6,1),(17,1)}
      12:{3,5}:{(7,1),(20,1),(21,1),(59,1)}
      13:{1,4,6}:{(7,1),(9,1),(19,1),(21,1),(23,1),(37,1)}
      14:{4}:{(8,1)}
      15:{2,3,6}:{(8,1),(9,1),(17,1),(21,1),(23,1),(33,1)}
      16:{4,5}:{(10,1),(14,1),(24,1),(25,1),(32,1)}
      17:{3,6}:{(10,1),(11,1),(25,1)}
      18:{1,3,5}:{(12,1),(26,1),(27,1),(43,1)}
      19:{1,5,6}:{(13,1),(28,1),(32,1),(43,1)}
      20:{3,4}:{(12,1),(14,1),(26,1),(29,1)}
      21:{3,6}:{(12,1),(13,1)}
      22:{2,4}:{(14,1),(24,1),(29,1)}
      23:{4,6}:{(14,1),(15,1),(32,1)}
      24:{2,5}:{(16,1),(22,1),(33,1)}
      25:{4,6}:{(16,1),(17,1),(33,1),(34,1)}
      26:{1,4}:{(18,1),(20,1),(35,1)}
      27:{1,3,6}:{(18,1),(21,1),(36,1),(59,1)}
      28:{3,5,6}:{(19,1),(21,1),(37,1),(39,1)}
      29:{2,3}:{(20,1),(22,1),(35,1)}
      30:{3,4,6}:{(20,1),(21,1),(23,1),(36,1),(37,1),(38,1),(39,1),(51,1),(59,1)}
      31:{2,4,6}:{(22,1),(23,1),(33,1),(38,1),(40,1),(48,1),(51,1)}
      32:{5}:{(23,1)}
      33:{2,6}:{(24,1),(25,1)}
      34:{5,6}:{(25,1),(32,1)}
      35:{1,2}:{(26,1),(29,1)}
      36:{1,4,6}:{(26,1),(27,1),(30,1),(42,1),(43,1),(54,1)}
      37:{4,6}:{(28,1),(44,1),(45,1)}
      38:{2,3,6}:{(29,1),(30,1),(31,1),(42,1),(44,1),(46,1),(53,1)}
      39:{3,5}:{(30,1),(32,1),(43,1),(45,1)}
      40:{2,5}:{(31,1),(32,1),(47,1)}
      41:{2,5,6}:{(33,1),(34,1),(40,1),(48,1)}
      42:{1,2,6}:{(35,1),(36,1),(38,1),(49,1),(58,1)}
      43:{1,5}:{(36,1),(39,1)}
      44:{2,6}:{(37,1),(50,1)}
      45:{4,5}:{(37,1),(39,1),(50,1),(51,1)}
      46:{2,3,5}:{(38,1),(39,1),(40,1),(49,1),(50,1),(51,1),(52,1),(59,1),(60,1)}
      47:{4,5}:{(40,1),(48,1),(51,1),(52,1)}
      48:{4,6}:{(41,1),(47,1),(53,1)}
      49:{1,2,5}:{(42,1),(43,1),(46,1),(54,1),(57,1),(63,1)}
      50:{2,5}:{(44,1),(45,1),(55,1)}
      51:{4}:{(46,1)}
      52:{3,5}:{(47,1),(53,1),(56,1),(57,1)}
      53:{3,6}:{(48,1),(52,1),(58,1)}
      54:{1,4}:{(49,1),(51,1),(59,1)}
      55:{2,4}:{(50,1),(51,1),(60,1)}
      56:{3,4}:{(51,1),(52,1),(59,1),(60,1),(61,1)}
      57:{1,5}:{(52,1),(58,1),(61,1)}
      58:{1,6}:{(53,1),(57,1)}
      59:{3}:{(54,1)}
      60:{2,3}:{(55,1),(56,1),(63,1)}
      61:{1,4}:{(56,1),(57,1),(62,1),(63,1)}
      62:{1,3}:{(59,1),(61,1)}
      63:{1,2}:{(60,1),(61,1)}

188 :  0:{2,4,5}:{(1,1),(2,1),(21,1)}
       1:{2,3,5}:{(0,1),(3,1),(4,1),(5,1),(15,1)}
       2:{2,4,6}:{(0,1),(5,1),(6,1),(16,1),(57,1)}
       3:{1,2,5}:{(1,1),(7,1),(8,1),(19,1)}
       4:{3,4}:{(1,1),(7,1)}
       5:{2,3,6}:{(1,1),(2,1),(8,1),(9,1),(49,1)}
       6:{2,5,6}:{(2,1),(11,1),(64,1)}
       7:{1,4}:{(3,1),(4,1),(12,1)}
       8:{1,2,6}:{(3,1),(5,1),(13,1),(41,1)}
       9:{3,4,6}:{(4,1),(5,1),(13,1),(15,1),(16,1),(28,1),(42,1)}
      10:{2,3,5,6}:{(5,1),(6,1),(14,1),(15,1),(16,1),(17,1),(28,1),(29,1),(31,1),(43,1)}
      11:{4,5,6}:{(6,1),(16,1),(17,1),(59,1)}
      12:{1,3}:{(7,1)}
      13:{1,4,6}:{(7,1),(8,1),(9,1),(18,1),(19,1),(33,1)}
      14:{1,2,5,6}:{(8,1),(10,1),(19,1),(20,1),(24,1),(34,1),(40,1)}
      15:{3,5}:{(9,1),(19,1),(21,1)}
      16:{4,6}:{(10,1),(21,1),(52,1)}
      17:{3,5,6}:{(11,1),(23,1),(24,1),(54,1)}
      18:{1,3,6}:{(12,1),(13,1),(25,1),(28,1)}
      19:{1,5}:{(13,1),(15,1)}
      20:{1,4,6}:{(14,1),(16,1),(26,1),(28,1)}
      21:{4,5}:{(15,1),(16,1),(29,1)}
      22:{2,4,6}:{(16,1),(29,1),(31,1),(48,1)}
      23:{3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1),(32,1)}
      24:{1,5,6}:{(17,1),(32,1),(60,1)}
      25:{1,3,5}:{(18,1),(19,1),(33,1),(35,1)}
      26:{1,4,5}:{(19,1),(20,1),(21,1),(33,1),(34,1),(35,1),(52,1)}
      27:{1,2,4,6}:{(20,1),(22,1),(34,1),(36,1),(40,1),(52,1),(53,1),(55,1)}
      28:{3,6}:{(20,1),(35,1)}
      29:{2,5}:{(21,1),(22,1)}
      30:{3,4,5}:{(21,1),(23,1),(35,1),(38,1),(39,1),(52,1),(54,1),(65,1)}
      31:{2,3,6}:{(22,1),(23,1),(38,1),(40,1)}
      32:{1,4,6}:{(23,1),(24,1),(37,1),(39,1),(40,1)}
      33:{1,4}:{(25,1),(41,1),(42,1)}
      34:{1,2,5}:{(26,1),(27,1),(29,1),(41,1),(43,1),(60,1)}
      35:{3,5}:{(26,1),(28,1),(42,1)}
      36:{2,3,6}:{(27,1),(28,1),(43,1),(46,1),(62,1),(71,1)}
      37:{1,3,6}:{(28,1),(32,1),(44,1)}
      38:{2,3,5}:{(29,1),(30,1),(31,1),(47,1),(48,1),(62,1)}
      39:{1,4,5}:{(30,1),(32,1),(44,1),(47,1),(58,1),(60,1)}
      40:{1,2,6}:{(31,1),(32,1),(47,1)}
      41:{1,2}:{(33,1),(49,1)}
      42:{3,4}:{(33,1),(35,1),(49,1),(52,1)}
      43:{2,3,5}:{(34,1),(35,1),(36,1),(49,1),(52,1),(54,1),(64,1)}
      44:{1,3,5}:{(35,1),(37,1),(39,1),(50,1)}
      45:{1,2,3,6}:{(36,1),(37,1),(40,1),(51,1),(53,1),(75,1),(76,1)}
      46:{3,4,6}:{(36,1),(52,1),(53,1),(54,1),(65,1),(67,1),(76,1)}
      47:{1,2,5}:{(38,1),(39,1),(40,1),(55,1)}
      48:{2,4}:{(38,1),(52,1)}
      49:{2,3}:{(41,1),(42,1),(57,1)}
      50:{1,3,4}:{(42,1),(44,1),(56,1),(58,1)}
      51:{1,2,3,5}:{(43,1),(44,1),(45,1),(47,1),(56,1),(58,1),(60,1),(62,1),(70,1),(72,1)}
      52:{4}:{(43,1)}
      53:{1,4,6}:{(45,1),(46,1),(58,1),(60,1)}
      54:{3,5}:{(46,1),(59,1),(60,1)}
      55:{1,2,4}:{(47,1),(48,1),(58,1),(62,1)}
      56:{1,2,3}:{(49,1),(50,1),(63,1)}
      57:{2,4}:{(49,1),(52,1),(64,1)}
      58:{1,4}:{(51,1),(52,1),(65,1)}
      59:{4,5}:{(52,1),(54,1),(64,1),(67,1)}
      60:{1,5}:{(53,1),(54,1)}
      61:{3,5,6}:{(54,1),(67,1),(68,1),(76,1)}
      62:{2,3}:{(55,1),(65,1)}
      63:{1,2,4}:{(56,1),(57,1),(58,1),(69,1),(70,1)}
      64:{2,5}:{(57,1),(59,1),(71,1)}
      65:{3,4}:{(58,1),(62,1),(72,1)}
      66:{1,4,5}:{(58,1),(59,1),(60,1),(70,1),(72,1),(73,1),(77,1)}
      67:{4,6}:{(59,1),(61,1),(71,1)}
      68:{1,5,6}:{(60,1),(61,1),(73,1),(80,1)}
      69:{2,3,4}:{(63,1),(65,1),(74,1)}
      70:{1,2,5}:{(63,1),(64,1),(66,1),(74,1),(75,1)}
      71:{2,6}:{(64,1),(67,1)}
      72:{3,5}:{(65,1),(66,1),(76,1)}
      73:{1,4,6}:{(66,1),(67,1),(68,1),(75,1),(76,1),(79,1)}
      74:{2,3,5}:{(69,1),(70,1),(72,1),(77,1),(78,1)}
      75:{1,2,6}:{(70,1),(71,1),(73,1),(78,1)}
      76:{3,6}:{(72,1),(73,1)}
      77:{4,5}:{(74,1),(79,1)}
      78:{2,3,6}:{(74,1),(75,1),(76,1),(79,1)}
      79:{4,6}:{(77,1),(78,1),(80,1)}
      80:{5,6}:{(79,1)}

189 :  0:{2,4,6}:{(3,1),(4,1),(7,1),(20,1),(49,1),(50,1),(59,1)}
       1:{3,4,6}:{(3,1),(5,1),(6,1),(18,1),(20,1),(35,1),(37,1),(39,1),(50,1)}
       2:{2,5,6}:{(4,1),(7,1),(59,1),(60,1)}
       3:{2,3,6}:{(0,1),(1,1),(10,1),(11,1),(15,1),(27,1),(43,1)}
       4:{2,5}:{(0,1),(12,1),(55,1)}
       5:{1,4,6}:{(1,1),(8,1),(10,1),(13,1),(25,1),(28,1)}
       6:{3,5}:{(1,1),(13,1),(14,1),(55,1)}
       7:{4,6}:{(2,1),(12,1),(15,1)}
       8:{1,3,6}:{(5,1),(16,1),(37,1),(39,1)}
       9:{3,5,6}:{(6,1),(17,1),(18,1),(37,1)}
      10:{1,2,6}:{(3,1),(5,1),(19,1),(24,1),(34,1)}
      11:{2,3,5}:{(3,1),(4,1),(6,1),(19,1),(20,1),(21,1),(23,1),(39,1),(40,1)}
      12:{4,5}:{(4,1),(7,1),(20,1),(21,1)}
      13:{1,5}:{(5,1),(6,1)}
      14:{4,5}:{(6,1),(18,1),(20,1),(23,1)}
      15:{3,6}:{(7,1),(21,1),(24,1)}
      16:{1,3,5}:{(8,1),(13,1),(25,1),(33,1)}
      17:{1,5,6}:{(9,1),(13,1),(26,1),(55,1)}
      18:{4,6}:{(9,1),(14,1),(27,1)}
      19:{1,2,5}:{(10,1),(11,1),(13,1),(28,1),(31,1),(47,1)}
      20:{4}:{(11,1)}
      21:{3,5}:{(12,1),(15,1),(30,1),(31,1)}
      22:{1,4,5}:{(13,1),(14,1),(25,1),(26,1),(28,1),(32,1),(33,1),(48,1),(55,1)}
      23:{2,5}:{(14,1),(27,1),(29,1)}
      24:{1,6}:{(15,1),(31,1)}
      25:{1,4}:{(16,1),(34,1),(35,1)}
      26:{1,4,6}:{(17,1),(18,1),(22,1),(36,1),(37,1),(50,1)}
      27:{2,6}:{(18,1),(23,1)}
      28:{1,4}:{(19,1),(20,1),(39,1)}
      29:{2,4}:{(20,1),(23,1),(40,1)}
      30:{3,4}:{(20,1),(21,1),(39,1),(40,1),(41,1)}
      31:{1,5}:{(21,1),(24,1),(41,1)}
      32:{1,2,5}:{(22,1),(23,1),(34,1),(36,1),(38,1),(42,1),(61,1)}
      33:{3,5}:{(22,1),(35,1),(37,1),(39,1)}
      34:{1,2}:{(25,1),(43,1)}
      35:{3,4}:{(25,1),(33,1),(43,1),(48,1)}
      36:{1,2,6}:{(26,1),(27,1),(32,1),(44,1),(63,1)}
      37:{3,6}:{(26,1),(33,1)}
      38:{1,2,4}:{(28,1),(29,1),(32,1),(45,1),(47,1),(48,1),(56,1)}
      39:{3}:{(28,1)}
      40:{2,3}:{(29,1),(30,1),(47,1)}
      41:{1,4}:{(30,1),(31,1),(46,1),(47,1)}
      42:{2,3,5}:{(32,1),(33,1),(43,1),(44,1),(45,1),(48,1),(54,1),(55,1),(57,1)}
      43:{2,3}:{(34,1),(35,1),(49,1)}
      44:{2,3,6}:{(36,1),(37,1),(42,1),(50,1),(59,1),(62,1)}
      45:{2,3}:{(38,1),(39,1),(52,1)}
      46:{1,3}:{(39,1),(41,1)}
      47:{1,2}:{(40,1),(41,1)}
      48:{4}:{(42,1)}
      49:{2,4}:{(43,1),(48,1),(54,1)}
      50:{4,6}:{(44,1),(48,1),(55,1)}
      51:{1,2,3}:{(45,1),(46,1),(47,1),(56,1)}
      52:{3,4}:{(45,1),(48,1),(56,1),(57,1)}
      53:{4,5}:{(48,1),(54,1),(55,1),(57,1),(58,1)}
      54:{2,5}:{(49,1),(53,1),(59,1)}
      55:{5}:{(50,1)}
      56:{1,4}:{(51,1),(52,1),(61,1)}
      57:{3,5}:{(52,1),(53,1),(61,1),(62,1)}
      58:{4,6}:{(53,1),(59,1),(60,1),(62,1)}
      59:{2,6}:{(54,1),(58,1)}
      60:{5,6}:{(55,1),(58,1)}
      61:{1,5}:{(56,1),(57,1),(63,1)}
      62:{3,6}:{(57,1),(58,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

190 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

191 :  0:{1,5,6}:{(3,1),(4,1),(38,1),(42,1)}
       1:{1,4,5}:{(4,1),(5,1),(6,1),(16,1),(20,1),(23,1),(38,1),(42,1),(53,1)}
       2:{1,2,4}:{(5,1),(7,1),(23,1),(24,1),(36,1),(51,1),(53,1)}
       3:{3,5,6}:{(0,1),(8,1),(11,1),(27,1)}
       4:{1,4,6}:{(0,1),(1,1),(8,1),(10,1),(11,1),(32,1)}
       5:{1,2,5}:{(1,1),(2,1),(10,1),(12,1),(26,1),(30,1),(34,1)}
       6:{3,5}:{(1,1),(9,1),(11,1),(58,1)}
       7:{2,3}:{(2,1),(15,1),(58,1)}
       8:{4,6}:{(3,1),(16,1),(17,1)}
       9:{3,4}:{(6,1),(19,1),(20,1),(23,1)}
      10:{1,2,6}:{(4,1),(5,1),(17,1),(21,1),(44,1)}
      11:{3,6}:{(4,1),(6,1)}
      12:{2,3,5}:{(5,1),(6,1),(7,1),(19,1),(21,1),(23,1),(25,1),(41,1),(42,1)}
      13:{1,3,5}:{(6,1),(20,1),(22,1),(38,1)}
      14:{1,2,3}:{(7,1),(24,1),(51,1),(60,1)}
      15:{3,4}:{(7,1),(23,1),(24,1),(25,1)}
      16:{4,5}:{(8,1),(26,1),(27,1),(47,1)}
      17:{2,6}:{(8,1),(26,1)}
      18:{3,4,6}:{(8,1),(9,1),(11,1),(27,1),(28,1),(29,1),(32,1),(47,1),(58,1)}
      19:{2,3}:{(9,1),(30,1),(31,1)}
      20:{1,4}:{(9,1),(13,1),(30,1)}
      21:{2,3,6}:{(10,1),(11,1),(12,1),(32,1),(35,1),(49,1)}
      22:{1,3,6}:{(11,1),(13,1),(29,1),(58,1)}
      23:{4}:{(12,1)}
      24:{1,4}:{(14,1),(15,1),(34,1)}
      25:{3,5}:{(15,1),(33,1),(34,1),(35,1)}
      26:{2,5}:{(16,1),(17,1),(36,1)}
      27:{3,5}:{(16,1),(18,1),(38,1),(42,1)}
      28:{2,3,6}:{(17,1),(18,1),(19,1),(37,1),(39,1),(40,1),(62,1)}
      29:{1,4,6}:{(18,1),(20,1),(22,1),(38,1),(39,1),(53,1)}
      30:{1,2}:{(19,1),(20,1)}
      31:{2,4}:{(19,1),(23,1),(41,1)}
      32:{4,6}:{(21,1),(23,1),(42,1)}
      33:{4,5}:{(23,1),(25,1),(41,1),(42,1),(43,1)}
      34:{1,5}:{(24,1),(25,1),(44,1)}
      35:{3,6}:{(25,1),(43,1),(44,1)}
      36:{2,4}:{(26,1),(45,1),(47,1)}
      37:{2,3,5}:{(26,1),(27,1),(28,1),(45,1),(46,1),(47,1),(48,1),(57,1),(58,1)}
      38:{1,5}:{(27,1),(29,1)}
      39:{1,2,6}:{(28,1),(29,1),(30,1),(46,1),(63,1)}
      40:{2,4,6}:{(28,1),(31,1),(32,1),(47,1),(48,1),(49,1),(59,1)}
      41:{2,5}:{(31,1),(33,1),(49,1)}
      42:{5}:{(32,1)}
      43:{4,6}:{(33,1),(35,1),(49,1),(50,1)}
      44:{1,6}:{(34,1),(35,1)}
      45:{2,3}:{(36,1),(51,1),(52,1)}
      46:{1,2,5}:{(37,1),(38,1),(39,1),(51,1),(53,1),(61,1)}
      47:{4}:{(37,1)}
      48:{2,5}:{(40,1),(42,1),(54,1)}
      49:{2,6}:{(41,1),(43,1)}
      50:{5,6}:{(42,1),(43,1)}
      51:{1,2}:{(45,1),(56,1)}
      52:{3,4}:{(45,1),(47,1),(56,1),(57,1),(58,1)}
      53:{1,4}:{(46,1),(47,1),(58,1)}
      54:{4,5}:{(47,1),(48,1),(57,1),(59,1)}
      55:{2,5,6}:{(48,1),(49,1),(50,1),(59,1)}
      56:{1,4}:{(51,1),(52,1),(60,1),(61,1)}
      57:{3,5}:{(52,1),(54,1),(61,1),(62,1)}
      58:{3}:{(53,1)}
      59:{4,6}:{(54,1),(55,1),(62,1)}
      60:{1,3}:{(56,1),(58,1)}
      61:{1,5}:{(56,1),(57,1),(63,1)}
      62:{3,6}:{(57,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

192 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(13,1),(25,1),(30,1),(48,1),(49,1),(56,1),(57,1)}
       1:{2,3,6}:{(0,1),(5,1),(6,1),(16,1),(43,1),(44,1),(58,1)}
       2:{1,2,5}:{(0,1),(6,1),(7,1),(17,1),(36,1),(45,1),(59,1)}
       3:{1,2,5,6}:{(2,1),(8,1),(9,1),(28,1),(47,1),(48,1),(49,1)}
       4:{1,2,3,6}:{(1,1),(10,1),(11,1),(27,1),(48,1),(49,1),(50,1)}
       5:{3,4,6}:{(1,1),(10,1),(12,1),(13,1),(31,1),(32,1),(50,1),(57,1)}
       6:{2,3,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(33,1),(34,1)}
       7:{1,4,5}:{(2,1),(9,1),(13,1),(14,1),(24,1),(35,1),(47,1),(56,1)}
       8:{2,3,5,6}:{(3,1),(6,1),(15,1),(16,1),(19,1),(36,1),(37,1),(38,1),(44,1),(54,1),(59,1)}
       9:{1,4,6}:{(3,1),(7,1),(15,1),(16,1)}
      10:{1,4,6}:{(4,1),(5,1),(17,1),(18,1)}
      11:{1,2,3,5}:{(4,1),(6,1),(17,1),(18,1),(23,1),(41,1),(42,1),(43,1),(45,1),(52,1),(58,1)}
      12:{3,5}:{(5,1),(17,1),(20,1),(59,1)}
      13:{4}:{(6,1)}
      14:{3,5}:{(7,1),(16,1),(22,1),(58,1)}
      15:{4,6}:{(8,1),(13,1),(24,1)}
      16:{3,6}:{(9,1),(14,1)}
      17:{1,5}:{(10,1),(12,1)}
      18:{1,4}:{(11,1),(13,1),(31,1)}
      19:{3,5,6}:{(12,1),(28,1),(32,1),(50,1)}
      20:{4,5}:{(12,1),(13,1),(32,1),(33,1)}
      21:{2,4}:{(13,1),(33,1),(34,1)}
      22:{3,4}:{(13,1),(14,1),(34,1),(35,1)}
      23:{1,3,5}:{(14,1),(27,1),(35,1),(47,1)}
      24:{4,5}:{(15,1),(36,1),(37,1),(53,1),(59,1)}
      25:{2,4,6}:{(15,1),(21,1),(36,1),(38,1),(44,1),(53,1)}
      26:{3,4,6}:{(15,1),(16,1),(22,1),(37,1),(38,1),(39,1),(53,1),(58,1)}
      27:{1,3,6}:{(16,1),(23,1),(39,1),(58,1)}
      28:{1,5,6}:{(17,1),(19,1),(40,1),(59,1)}
      29:{1,4,5}:{(17,1),(18,1),(20,1),(40,1),(41,1),(42,1),(55,1),(59,1)}
      30:{1,2,4}:{(18,1),(21,1),(41,1),(43,1),(45,1),(55,1)}
      31:{3,4}:{(18,1),(42,1),(43,1),(55,1),(58,1)}
      32:{4,6}:{(19,1),(20,1),(44,1)}
      33:{2,5}:{(20,1),(21,1),(44,1)}
      34:{2,3}:{(21,1),(22,1),(45,1)}
      35:{1,4}:{(22,1),(23,1),(45,1)}
      36:{2,5}:{(24,1),(25,1)}
      37:{3,5}:{(24,1),(26,1),(47,1)}
      38:{2,3,6}:{(25,1),(26,1),(34,1),(46,1),(48,1)}
      39:{1,4,6}:{(26,1),(27,1),(35,1),(47,1),(48,1),(56,1)}
      40:{1,4,6}:{(28,1),(29,1),(32,1),(49,1),(50,1),(57,1)}
      41:{1,2,5}:{(29,1),(30,1),(33,1),(49,1),(51,1)}
      42:{3,5}:{(29,1),(31,1),(50,1)}
      43:{2,3}:{(30,1),(31,1)}
      44:{2,6}:{(32,1),(33,1)}
      45:{1,2}:{(34,1),(35,1)}
      46:{2,3,5}:{(36,1),(37,1),(38,1),(52,1),(53,1),(58,1)}
      47:{1,5}:{(37,1),(39,1)}
      48:{1,2,6}:{(38,1),(39,1),(45,1),(52,1)}
      49:{1,2,6}:{(40,1),(41,1),(44,1),(54,1)}
      50:{3,6}:{(40,1),(42,1)}
      51:{2,3,5}:{(41,1),(42,1),(43,1),(54,1),(55,1),(59,1)}
      52:{1,2,5}:{(46,1),(47,1),(48,1),(56,1)}
      53:{4}:{(46,1)}
      54:{2,3,6}:{(49,1),(50,1),(51,1),(57,1)}
      55:{4}:{(51,1)}
      56:{1,4}:{(52,1),(53,1),(58,1)}
      57:{4,6}:{(54,1),(55,1),(59,1)}
      58:{3}:{(56,1)}
      59:{5}:{(57,1)}

193 :  0:{2,3,4}:{(1,1),(2,1),(20,1)}
       1:{1,2,4}:{(0,1),(4,1),(5,1),(16,1),(60,1)}
       2:{2,3,5}:{(0,1),(3,1),(5,1),(6,1),(13,1)}
       3:{4,5}:{(2,1),(9,1)}
       4:{1,2,3}:{(1,1),(7,1),(67,1)}
       5:{1,2,5}:{(1,1),(2,1),(8,1),(11,1),(54,1)}
       6:{2,3,6}:{(2,1),(9,1),(11,1),(21,1)}
       7:{1,3,4}:{(4,1),(12,1),(16,1),(61,1)}
       8:{1,4,5}:{(3,1),(5,1),(13,1),(14,1),(16,1),(32,1),(46,1)}
       9:{4,6}:{(3,1),(6,1),(15,1)}
      10:{1,2,3,5}:{(4,1),(5,1),(12,1),(13,1),(16,1),(17,1),(26,1),(28,1),(32,1),(45,1)}
      11:{1,2,6}:{(5,1),(6,1),(14,1),(47,1)}
      12:{1,3,5}:{(7,1),(18,1),(19,1),(55,1)}
      13:{3,5}:{(8,1),(20,1),(21,1)}
      14:{1,4,6}:{(8,1),(9,1),(11,1),(21,1),(22,1),(39,1)}
      15:{5,6}:{(9,1)}
      16:{1,4}:{(10,1),(20,1),(53,1)}
      17:{1,2,3,6}:{(10,1),(11,1),(19,1),(21,1),(24,1),(35,1),(37,1)}
      18:{1,4,5}:{(12,1),(16,1),(25,1),(26,1),(27,1),(32,1)}
      19:{1,3,6}:{(12,1),(27,1),(59,1)}
      20:{3,4}:{(13,1),(16,1),(28,1)}
      21:{3,6}:{(13,1),(14,1)}
      22:{1,5,6}:{(14,1),(15,1),(30,1),(32,1)}
      23:{1,2,4}:{(16,1),(26,1),(28,1),(41,1)}
      24:{1,4,6}:{(16,1),(17,1),(29,1),(32,1)}
      25:{3,4,5}:{(18,1),(20,1),(33,1),(34,1),(38,1),(53,1),(55,1),(63,1)}
      26:{1,2,5}:{(18,1),(23,1),(33,1),(35,1)}
      27:{1,4,6}:{(18,1),(19,1),(34,1),(35,1),(36,1)}
      28:{2,3}:{(20,1),(23,1)}
      29:{3,4,6}:{(20,1),(21,1),(24,1),(37,1),(38,1),(39,1),(53,1)}
      30:{3,5,6}:{(21,1),(22,1),(38,1),(39,1)}
      31:{1,2,4,6}:{(23,1),(24,1),(35,1),(37,1),(40,1),(49,1),(52,1),(53,1)}
      32:{1,5}:{(24,1),(38,1)}
      33:{2,3,5}:{(25,1),(26,1),(28,1),(41,1),(42,1),(56,1)}
      34:{3,4,6}:{(25,1),(27,1),(42,1),(43,1),(57,1),(59,1)}
      35:{1,2,6}:{(26,1),(27,1),(42,1)}
      36:{1,5,6}:{(27,1),(32,1),(43,1)}
      37:{2,3,6}:{(28,1),(29,1),(31,1),(45,1),(47,1),(59,1)}
      38:{3,5}:{(29,1),(32,1),(46,1)}
      39:{4,6}:{(30,1),(46,1),(47,1)}
      40:{1,2,5}:{(31,1),(32,1),(45,1),(48,1),(56,1),(73,1)}
      41:{2,4}:{(33,1),(53,1)}
      42:{2,3,6}:{(33,1),(34,1),(35,1),(49,1)}
      43:{3,5,6}:{(34,1),(36,1),(38,1),(51,1)}
      44:{1,2,5,6}:{(35,1),(36,1),(40,1),(50,1),(52,1),(75,1),(76,1)}
      45:{2,3,5}:{(37,1),(38,1),(40,1),(53,1),(54,1),(55,1),(67,1)}
      46:{4,5}:{(38,1),(39,1),(53,1),(54,1)}
      47:{2,6}:{(39,1),(54,1)}
      48:{1,4,5}:{(40,1),(52,1),(53,1),(55,1),(63,1),(68,1),(75,1)}
      49:{2,4,6}:{(41,1),(42,1),(56,1),(57,1)}
      50:{2,3,5,6}:{(42,1),(43,1),(44,1),(45,1),(56,1),(57,1),(58,1),(59,1),(70,1),(71,1)}
      51:{4,5,6}:{(43,1),(46,1),(57,1),(58,1)}
      52:{1,4,6}:{(44,1),(48,1),(57,1),(59,1)}
      53:{4}:{(45,1)}
      54:{2,5}:{(46,1),(47,1),(60,1)}
      55:{3,5}:{(48,1),(59,1),(61,1)}
      56:{2,5}:{(49,1),(63,1)}
      57:{4,6}:{(50,1),(53,1),(63,1)}
      58:{2,5,6}:{(51,1),(54,1),(64,1)}
      59:{3,6}:{(52,1),(55,1)}
      60:{2,4}:{(53,1),(54,1),(67,1)}
      61:{3,4}:{(53,1),(55,1),(67,1),(68,1)}
      62:{1,3,5}:{(55,1),(66,1),(68,1),(75,1)}
      63:{4,5}:{(56,1),(57,1),(70,1)}
      64:{2,4,6}:{(57,1),(58,1),(60,1),(69,1),(71,1)}
      65:{3,4,6}:{(57,1),(59,1),(61,1),(70,1),(71,1),(72,1),(78,1)}
      66:{1,3,6}:{(59,1),(62,1),(72,1),(80,1)}
      67:{2,3}:{(60,1),(61,1),(73,1)}
      68:{1,4}:{(61,1),(62,1),(73,1)}
      69:{2,4,5}:{(63,1),(64,1),(74,1)}
      70:{3,5}:{(63,1),(65,1),(75,1)}
      71:{2,3,6}:{(64,1),(65,1),(67,1),(74,1),(76,1)}
      72:{1,4,6}:{(65,1),(66,1),(68,1),(75,1),(76,1),(79,1)}
      73:{1,2}:{(67,1),(68,1)}
      74:{2,3,5}:{(69,1),(70,1),(71,1),(77,1),(78,1)}
      75:{1,5}:{(70,1),(72,1)}
      76:{1,2,6}:{(71,1),(72,1),(73,1),(77,1)}
      77:{1,2,5}:{(74,1),(75,1),(76,1),(79,1)}
      78:{3,4}:{(74,1),(79,1)}
      79:{1,4}:{(77,1),(78,1),(80,1)}
      80:{1,3}:{(79,1)}

194 :  0:{1,2,3}:{(3,1),(4,1),(59,1),(62,1)}
       1:{1,2,4}:{(3,1),(4,1),(5,1),(20,1),(49,1),(52,1),(62,1)}
       2:{1,4,5}:{(5,1),(6,1),(7,1),(16,1),(20,1),(35,1),(39,1),(41,1),(49,1)}
       3:{1,4}:{(0,1),(9,1),(10,1)}
       4:{2,3}:{(1,1),(9,1),(54,1)}
       5:{1,2,5}:{(1,1),(2,1),(10,1),(11,1),(12,1),(25,1),(48,1)}
       6:{3,5}:{(2,1),(13,1),(14,1),(54,1)}
       7:{1,4,6}:{(2,1),(12,1),(14,1),(15,1),(30,1),(33,1)}
       8:{1,3,5}:{(6,1),(16,1),(17,1),(35,1)}
       9:{3,4}:{(3,1),(4,1),(18,1),(20,1)}
      10:{1,5}:{(3,1),(18,1),(19,1)}
      11:{2,3,5}:{(4,1),(5,1),(6,1),(18,1),(20,1),(21,1),(22,1),(36,1),(39,1)}
      12:{1,2,6}:{(5,1),(7,1),(19,1),(21,1),(42,1)}
      13:{3,4}:{(6,1),(16,1),(20,1),(22,1)}
      14:{3,6}:{(6,1),(7,1)}
      15:{1,5,6}:{(7,1),(24,1),(35,1),(39,1)}
      16:{1,4}:{(8,1),(13,1),(25,1)}
      17:{1,3,6}:{(8,1),(14,1),(26,1),(54,1)}
      18:{3,5}:{(9,1),(10,1),(27,1),(28,1)}
      19:{1,6}:{(10,1),(28,1)}
      20:{4}:{(11,1)}
      21:{2,3,6}:{(11,1),(12,1),(14,1),(28,1),(30,1),(44,1)}
      22:{2,3}:{(13,1),(25,1),(29,1)}
      23:{3,4,6}:{(13,1),(14,1),(26,1),(30,1),(31,1),(32,1),(33,1),(47,1),(54,1)}
      24:{3,5,6}:{(14,1),(15,1),(32,1),(33,1)}
      25:{1,2}:{(16,1),(22,1)}
      26:{1,4,6}:{(16,1),(17,1),(23,1),(34,1),(35,1),(49,1)}
      27:{4,5}:{(18,1),(20,1),(36,1),(37,1),(39,1)}
      28:{3,6}:{(18,1),(19,1),(37,1)}
      29:{2,4}:{(20,1),(22,1),(36,1)}
      30:{4,6}:{(20,1),(21,1),(39,1)}
      31:{2,3,6}:{(22,1),(23,1),(34,1),(38,1),(40,1),(42,1),(60,1)}
      32:{3,5}:{(23,1),(35,1),(39,1),(41,1)}
      33:{4,6}:{(24,1),(41,1),(42,1)}
      34:{1,2,6}:{(25,1),(26,1),(31,1),(43,1),(63,1)}
      35:{1,5}:{(26,1),(32,1)}
      36:{2,5}:{(27,1),(29,1),(44,1)}
      37:{4,6}:{(27,1),(28,1),(44,1),(45,1)}
      38:{2,4,6}:{(29,1),(30,1),(31,1),(44,1),(46,1),(47,1),(55,1)}
      39:{5}:{(30,1)}
      40:{2,3,5}:{(31,1),(32,1),(43,1),(46,1),(47,1),(48,1),(54,1),(56,1),(57,1)}
      41:{4,5}:{(32,1),(33,1),(47,1),(48,1)}
      42:{2,6}:{(33,1),(48,1)}
      43:{1,2,5}:{(34,1),(35,1),(40,1),(49,1),(61,1),(62,1)}
      44:{2,6}:{(36,1),(37,1)}
      45:{5,6}:{(37,1),(39,1)}
      46:{2,5}:{(38,1),(39,1),(51,1)}
      47:{4}:{(40,1)}
      48:{2,5}:{(41,1),(42,1),(52,1)}
      49:{1,4}:{(43,1),(47,1),(54,1)}
      50:{2,5,6}:{(44,1),(45,1),(46,1),(55,1)}
      51:{4,5}:{(46,1),(47,1),(55,1),(56,1)}
      52:{2,4}:{(47,1),(48,1),(57,1)}
      53:{3,4}:{(47,1),(54,1),(56,1),(57,1),(58,1)}
      54:{3}:{(49,1)}
      55:{4,6}:{(50,1),(51,1),(60,1)}
      56:{3,5}:{(51,1),(53,1),(60,1),(61,1)}
      57:{2,3}:{(52,1),(53,1),(62,1)}
      58:{1,4}:{(53,1),(59,1),(61,1),(62,1)}
      59:{1,3}:{(54,1),(58,1)}
      60:{3,6}:{(55,1),(56,1),(63,1)}
      61:{1,5}:{(56,1),(58,1),(63,1)}
      62:{1,2}:{(57,1),(58,1)}
      63:{1,6}:{(60,1),(61,1)}

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

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

197 :  0:{1,3,4}:{(2,1),(3,1),(20,1),(75,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(31,1),(51,1),(54,1),(69,1),(70,1)}
       2:{1,3,5}:{(0,1),(8,1),(9,1),(69,1)}
       3:{1,2,3}:{(0,1),(11,1),(79,1)}
       4:{2,3,4}:{(11,1),(12,1),(31,1)}
       5:{4,5,6}:{(13,1),(14,1),(38,1),(64,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(38,1),(61,1)}
       7:{2,3,5}:{(1,1),(15,1),(17,1),(18,1),(40,1),(41,1)}
       8:{1,4,5}:{(1,1),(2,1),(16,1),(17,1),(20,1),(43,1)}
       9:{1,3,6}:{(2,1),(16,1),(61,1)}
      10:{1,2,3,5}:{(2,1),(3,1),(17,1),(19,1),(20,1),(22,1),(41,1),(43,1),(45,1),(63,1)}
      11:{1,2,4}:{(3,1),(4,1),(20,1),(22,1),(76,1)}
      12:{2,3,5}:{(4,1),(21,1),(22,1),(23,1),(45,1)}
      13:{2,5,6}:{(5,1),(24,1),(71,1)}
      14:{3,5,6}:{(5,1),(6,1),(26,1),(54,1)}
      15:{2,3,6}:{(6,1),(7,1),(27,1),(28,1)}
      16:{1,4,6}:{(6,1),(8,1),(9,1),(26,1),(27,1)}
      17:{1,2,5}:{(7,1),(8,1),(27,1),(29,1)}
      18:{2,4}:{(7,1),(70,1)}
      19:{1,2,3,6}:{(9,1),(10,1),(27,1),(30,1),(34,1),(52,1),(56,1)}
      20:{1,4}:{(10,1),(31,1),(70,1)}
      21:{4,5}:{(12,1),(33,1)}
      22:{1,2,5}:{(11,1),(12,1),(32,1),(34,1),(71,1)}
      23:{2,3,6}:{(12,1),(33,1),(34,1),(56,1)}
      24:{2,4,6}:{(13,1),(35,1),(36,1),(38,1),(76,1)}
      25:{2,3,5,6}:{(13,1),(14,1),(15,1),(36,1),(37,1),(38,1),(40,1),(60,1),(61,1),(63,1)}
      26:{1,5,6}:{(14,1),(16,1),(43,1)}
      27:{1,2,6}:{(15,1),(16,1),(17,1)}
      28:{2,4,6}:{(15,1),(18,1),(38,1),(40,1)}
      29:{1,2,4}:{(17,1),(18,1),(20,1),(41,1)}
      30:{1,4,6}:{(19,1),(20,1),(42,1),(43,1)}
      31:{3,4}:{(20,1),(41,1),(45,1)}
      32:{1,4,5}:{(20,1),(21,1),(22,1),(43,1),(45,1),(46,1),(64,1)}
      33:{4,6}:{(21,1),(23,1),(44,1)}
      34:{1,2,6}:{(22,1),(23,1),(46,1),(77,1)}
      35:{2,4,5}:{(24,1),(47,1),(51,1)}
      36:{2,3,6}:{(24,1),(47,1),(48,1),(49,1),(79,1)}
      37:{1,2,5,6}:{(25,1),(26,1),(27,1),(48,1),(50,1),(53,1),(68,1)}
      38:{4,6}:{(25,1),(51,1),(70,1)}
      39:{1,2,4,6}:{(27,1),(28,1),(29,1),(30,1),(50,1),(52,1),(53,1),(70,1)}
      40:{2,5}:{(28,1),(51,1)}
      41:{2,3}:{(29,1),(31,1)}
      42:{3,4,6}:{(30,1),(31,1),(52,1),(54,1),(56,1),(70,1),(72,1)}
      43:{1,5}:{(30,1),(54,1)}
      44:{5,6}:{(33,1)}
      45:{3,5}:{(31,1),(32,1),(56,1)}
      46:{1,4,6}:{(32,1),(33,1),(34,1),(55,1),(56,1),(72,1)}
      47:{2,3,5}:{(35,1),(36,1),(57,1),(58,1),(60,1)}
      48:{1,2,6}:{(36,1),(57,1),(59,1),(80,1)}
      49:{3,4,6}:{(36,1),(38,1),(58,1),(59,1),(60,1),(61,1),(75,1)}
      50:{1,4,6}:{(37,1),(38,1),(61,1),(62,1)}
      51:{4,5}:{(38,1),(40,1),(60,1)}
      52:{2,3,6}:{(39,1),(41,1),(42,1),(61,1),(63,1),(77,1)}
      53:{1,2,5}:{(39,1),(40,1),(43,1),(62,1),(63,1),(80,1)}
      54:{3,5}:{(42,1),(43,1),(64,1)}
      55:{1,5,6}:{(43,1),(44,1),(46,1),(65,1)}
      56:{3,6}:{(45,1),(46,1)}
      57:{1,2,5}:{(47,1),(48,1),(66,1),(68,1)}
      58:{3,4}:{(47,1),(66,1)}
      59:{1,4,6}:{(48,1),(49,1),(66,1),(67,1),(68,1),(78,1)}
      60:{3,5}:{(49,1),(51,1),(68,1)}
      61:{3,6}:{(50,1),(69,1)}
      62:{1,4,5}:{(50,1),(51,1),(53,1),(68,1),(69,1),(70,1),(78,1)}
      63:{2,3,5}:{(52,1),(53,1),(54,1),(69,1),(70,1),(71,1),(79,1)}
      64:{4,5}:{(54,1),(70,1),(71,1),(72,1)}
      65:{3,5,6}:{(54,1),(55,1),(56,1),(72,1)}
      66:{1,4}:{(57,1),(58,1),(73,1)}
      67:{1,3,6}:{(59,1),(61,1),(73,1),(74,1)}
      68:{1,5}:{(59,1),(60,1)}
      69:{3,5}:{(61,1),(62,1),(75,1)}
      70:{4}:{(63,1)}
      71:{2,5}:{(64,1),(76,1),(77,1)}
      72:{4,6}:{(64,1),(65,1),(77,1)}
      73:{1,3}:{(66,1)}
      74:{1,3,5}:{(67,1),(68,1),(69,1),(78,1)}
      75:{3,4}:{(69,1),(70,1),(78,1),(79,1)}
      76:{2,4}:{(70,1),(71,1),(79,1)}
      77:{2,6}:{(71,1),(72,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{2,3}:{(75,1),(76,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

198 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

199 :  0:{2,4,5}:{(2,1),(3,1),(29,1)}
       1:{4,5,6}:{(4,1),(5,1),(19,1),(68,1)}
       2:{2,4,6}:{(0,1),(4,1),(6,1),(19,1),(70,1)}
       3:{2,3,5}:{(0,1),(6,1),(7,1),(8,1),(21,1)}
       4:{2,5,6}:{(1,1),(2,1),(74,1)}
       5:{3,5,6}:{(1,1),(9,1),(11,1),(60,1)}
       6:{2,3,6}:{(2,1),(3,1),(12,1),(13,1),(63,1)}
       7:{1,2,5}:{(3,1),(12,1),(14,1),(31,1)}
       8:{3,4}:{(3,1),(14,1)}
       9:{3,4,6}:{(5,1),(15,1),(16,1),(17,1),(19,1),(38,1)}
      10:{2,3,5,6}:{(4,1),(5,1),(6,1),(16,1),(18,1),(19,1),(21,1),(37,1),(38,1),(54,1)}
      11:{1,5,6}:{(5,1),(17,1),(53,1)}
      12:{1,2,6}:{(6,1),(7,1),(20,1),(56,1)}
      13:{3,4,6}:{(6,1),(8,1),(19,1),(20,1),(21,1),(38,1),(55,1)}
      14:{1,4}:{(7,1),(8,1),(22,1)}
      15:{3,4,5}:{(9,1),(23,1),(24,1),(29,1),(47,1),(58,1),(60,1),(62,1)}
      16:{2,3,6}:{(9,1),(23,1),(26,1),(27,1)}
      17:{1,4,6}:{(9,1),(11,1),(24,1),(25,1),(26,1)}
      18:{1,2,5,6}:{(10,1),(11,1),(12,1),(26,1),(28,1),(31,1),(46,1)}
      19:{4,6}:{(10,1),(29,1),(62,1)}
      20:{1,4,6}:{(12,1),(13,1),(14,1),(30,1),(31,1),(48,1)}
      21:{3,5}:{(13,1),(29,1),(31,1)}
      22:{1,3}:{(14,1)}
      23:{2,3,5}:{(15,1),(16,1),(33,1),(34,1),(37,1),(51,1)}
      24:{1,4,5}:{(15,1),(17,1),(32,1),(33,1),(50,1),(53,1)}
      25:{1,3,6}:{(17,1),(32,1),(38,1)}
      26:{1,2,6}:{(16,1),(17,1),(33,1)}
      27:{2,4,6}:{(16,1),(19,1),(34,1),(37,1)}
      28:{1,4,6}:{(18,1),(19,1),(38,1),(39,1)}
      29:{4,5}:{(19,1),(21,1),(37,1)}
      30:{1,3,6}:{(20,1),(22,1),(38,1),(40,1)}
      31:{1,5}:{(20,1),(21,1)}
      32:{1,3,5}:{(24,1),(25,1),(41,1),(47,1)}
      33:{1,2,5}:{(23,1),(24,1),(26,1),(43,1)}
      34:{2,4}:{(23,1),(62,1)}
      35:{1,2,3,6}:{(25,1),(26,1),(42,1),(44,1),(45,1),(72,1),(73,1)}
      36:{1,2,4,6}:{(26,1),(27,1),(28,1),(43,1),(44,1),(45,1),(46,1),(62,1)}
      37:{2,5}:{(27,1),(29,1)}
      38:{3,6}:{(28,1),(47,1)}
      39:{1,4,5}:{(28,1),(29,1),(31,1),(46,1),(47,1),(48,1),(62,1)}
      40:{1,3,5}:{(30,1),(31,1),(47,1),(48,1)}
      41:{1,3,4}:{(32,1),(49,1),(50,1),(55,1)}
      42:{1,2,3,5}:{(32,1),(33,1),(35,1),(49,1),(50,1),(51,1),(53,1),(54,1),(65,1),(66,1)}
      43:{1,2,4}:{(33,1),(34,1),(50,1),(51,1)}
      44:{1,4,6}:{(35,1),(50,1),(52,1),(53,1)}
      45:{2,3,6}:{(36,1),(38,1),(51,1),(52,1),(54,1),(78,1)}
      46:{1,2,5}:{(36,1),(37,1),(39,1),(53,1),(54,1),(56,1)}
      47:{3,5}:{(38,1),(39,1),(55,1)}
      48:{1,4}:{(40,1),(55,1),(56,1)}
      49:{1,2,3}:{(41,1),(57,1),(63,1)}
      50:{1,4}:{(42,1),(58,1),(62,1)}
      51:{2,3}:{(43,1),(58,1)}
      52:{3,4,6}:{(44,1),(45,1),(58,1),(60,1),(62,1),(73,1),(75,1)}
      53:{1,5}:{(44,1),(60,1)}
      54:{2,3,5}:{(45,1),(46,1),(47,1),(60,1),(62,1),(63,1),(74,1)}
      55:{3,4}:{(47,1),(48,1),(62,1),(63,1)}
      56:{1,2}:{(48,1),(63,1)}
      57:{1,2,4}:{(49,1),(50,1),(64,1),(65,1),(70,1)}
      58:{3,4}:{(50,1),(51,1),(66,1)}
      59:{1,4,5}:{(50,1),(53,1),(65,1),(66,1),(67,1),(68,1),(76,1)}
      60:{3,5}:{(52,1),(53,1),(68,1)}
      61:{1,5,6}:{(53,1),(67,1),(69,1),(80,1)}
      62:{4}:{(54,1)}
      63:{2,3}:{(55,1),(56,1),(70,1)}
      64:{2,3,4}:{(57,1),(58,1),(71,1)}
      65:{1,2,5}:{(57,1),(59,1),(71,1),(72,1),(74,1)}
      66:{3,5}:{(58,1),(59,1),(73,1)}
      67:{1,4,6}:{(59,1),(61,1),(72,1),(73,1),(75,1),(79,1)}
      68:{4,5}:{(60,1),(62,1),(74,1),(75,1)}
      69:{3,5,6}:{(60,1),(61,1),(73,1),(75,1)}
      70:{2,4}:{(62,1),(63,1),(74,1)}
      71:{2,3,5}:{(64,1),(65,1),(66,1),(76,1),(77,1)}
      72:{1,2,6}:{(65,1),(67,1),(77,1),(78,1)}
      73:{3,6}:{(66,1),(67,1)}
      74:{2,5}:{(68,1),(70,1),(78,1)}
      75:{4,6}:{(68,1),(69,1),(78,1)}
      76:{4,5}:{(71,1),(79,1)}
      77:{2,3,6}:{(71,1),(72,1),(73,1),(79,1)}
      78:{2,6}:{(74,1),(75,1)}
      79:{4,6}:{(76,1),(77,1),(80,1)}
      80:{5,6}:{(79,1)}

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

201 :  0:{4,5,6}:{(1,1),(2,1),(17,1),(74,1)}
       1:{2,5,6}:{(0,1),(5,1),(78,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1),(67,1)}
       3:{2,4,5}:{(5,1),(9,1),(30,1)}
       4:{3,4,5}:{(6,1),(10,1),(11,1),(30,1),(52,1),(53,1),(67,1),(69,1)}
       5:{2,4,6}:{(1,1),(3,1),(13,1),(17,1),(76,1)}
       6:{3,4,6}:{(2,1),(4,1),(14,1),(15,1),(17,1),(40,1)}
       7:{2,3,5,6}:{(1,1),(2,1),(13,1),(14,1),(16,1),(17,1),(36,1),(39,1),(40,1),(60,1)}
       8:{1,5,6}:{(2,1),(15,1),(59,1)}
       9:{2,3,5}:{(3,1),(13,1),(18,1),(19,1),(36,1)}
      10:{2,3,5}:{(4,1),(14,1),(21,1),(22,1),(39,1),(44,1)}
      11:{1,4,5}:{(4,1),(15,1),(20,1),(21,1),(43,1),(59,1)}
      12:{1,3,4}:{(20,1),(23,1),(43,1),(61,1)}
      13:{2,3,6}:{(5,1),(9,1),(24,1),(25,1),(70,1)}
      14:{2,3,6}:{(6,1),(10,1),(27,1),(28,1)}
      15:{1,4,6}:{(6,1),(8,1),(11,1),(26,1),(27,1)}
      16:{1,2,5,6}:{(7,1),(8,1),(24,1),(27,1),(29,1),(48,1),(51,1)}
      17:{4,6}:{(7,1),(30,1),(69,1)}
      18:{1,2,5}:{(9,1),(24,1),(31,1),(48,1)}
      19:{3,4}:{(9,1),(31,1)}
      20:{1,3,5}:{(11,1),(12,1),(26,1),(52,1)}
      21:{1,2,5}:{(10,1),(11,1),(27,1),(33,1)}
      22:{2,4}:{(10,1),(69,1)}
      23:{1,2,3}:{(12,1),(34,1),(70,1)}
      24:{1,2,6}:{(13,1),(18,1),(35,1),(73,1)}
      25:{3,4,6}:{(13,1),(17,1),(19,1),(35,1),(36,1),(40,1),(61,1)}
      26:{1,3,6}:{(15,1),(20,1),(40,1)}
      27:{1,2,6}:{(14,1),(15,1),(21,1)}
      28:{2,4,6}:{(14,1),(17,1),(22,1),(39,1)}
      29:{1,4,6}:{(16,1),(17,1),(40,1),(41,1)}
      30:{4,5}:{(17,1),(36,1),(39,1)}
      31:{1,4}:{(18,1),(19,1),(42,1)}
      32:{1,2,3,5}:{(20,1),(21,1),(23,1),(37,1),(43,1),(44,1),(46,1),(59,1),(60,1),(62,1)}
      33:{1,2,4}:{(21,1),(22,1),(43,1),(44,1)}
      34:{1,2,4}:{(23,1),(43,1),(45,1),(46,1),(76,1)}
      35:{1,4,6}:{(24,1),(25,1),(31,1),(47,1),(48,1),(66,1)}
      36:{3,5}:{(25,1),(30,1),(48,1)}
      37:{1,2,3,6}:{(26,1),(27,1),(32,1),(49,1),(50,1),(56,1),(71,1)}
      38:{1,2,4,6}:{(27,1),(28,1),(29,1),(33,1),(49,1),(50,1),(51,1),(69,1)}
      39:{2,5}:{(28,1),(30,1)}
      40:{3,6}:{(29,1),(52,1)}
      41:{1,4,5}:{(29,1),(30,1),(48,1),(51,1),(52,1),(66,1),(69,1)}
      42:{1,3}:{(31,1)}
      43:{1,4}:{(32,1),(53,1),(69,1)}
      44:{2,3}:{(33,1),(53,1)}
      45:{2,3,4}:{(34,1),(53,1),(55,1)}
      46:{1,2,5}:{(34,1),(54,1),(55,1),(56,1),(78,1)}
      47:{1,3,6}:{(35,1),(40,1),(42,1),(57,1)}
      48:{1,5}:{(35,1),(36,1)}
      49:{1,4,6}:{(37,1),(43,1),(58,1),(59,1)}
      50:{2,3,6}:{(38,1),(40,1),(44,1),(58,1),(60,1),(80,1)}
      51:{1,2,5}:{(38,1),(39,1),(41,1),(59,1),(60,1),(73,1)}
      52:{3,5}:{(40,1),(41,1),(61,1)}
      53:{3,4}:{(43,1),(44,1),(62,1)}
      54:{1,4,5}:{(43,1),(46,1),(59,1),(62,1),(63,1),(64,1),(74,1)}
      55:{2,3,5}:{(45,1),(46,1),(62,1),(64,1),(65,1)}
      56:{1,2,6}:{(46,1),(63,1),(65,1),(80,1)}
      57:{1,3,5}:{(47,1),(48,1),(52,1),(66,1)}
      58:{3,4,6}:{(49,1),(50,1),(53,1),(67,1),(69,1),(71,1),(79,1)}
      59:{1,5}:{(49,1),(67,1)}
      60:{2,3,5}:{(50,1),(51,1),(52,1),(67,1),(69,1),(70,1),(78,1)}
      61:{3,4}:{(52,1),(66,1),(69,1),(70,1)}
      62:{3,5}:{(53,1),(54,1),(71,1)}
      63:{1,4,6}:{(54,1),(56,1),(68,1),(71,1),(72,1),(79,1)}
      64:{4,5}:{(55,1),(72,1)}
      65:{2,3,6}:{(55,1),(56,1),(71,1),(72,1)}
      66:{1,4}:{(57,1),(61,1),(73,1)}
      67:{3,5}:{(58,1),(59,1),(74,1)}
      68:{1,5,6}:{(59,1),(63,1),(75,1),(77,1)}
      69:{4}:{(60,1)}
      70:{2,3}:{(61,1),(73,1),(76,1)}
      71:{3,6}:{(62,1),(63,1)}
      72:{4,6}:{(64,1),(65,1),(77,1)}
      73:{1,2}:{(66,1),(70,1)}
      74:{4,5}:{(67,1),(69,1),(78,1),(79,1)}
      75:{3,5,6}:{(67,1),(68,1),(71,1),(79,1)}
      76:{2,4}:{(69,1),(70,1),(78,1)}
      77:{5,6}:{(72,1)}
      78:{2,5}:{(74,1),(76,1),(80,1)}
      79:{4,6}:{(74,1),(75,1),(80,1)}
      80:{2,6}:{(78,1),(79,1)}

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

203 :  0:{2,3,4}:{(1,1),(2,1),(24,1)}
       1:{1,2,4}:{(0,1),(5,1),(6,1),(18,1),(64,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1),(16,1)}
       3:{1,3,4}:{(5,1),(8,1),(18,1),(65,1)}
       4:{4,5}:{(2,1),(10,1)}
       5:{1,2,3}:{(1,1),(3,1),(71,1)}
       6:{1,2,5}:{(1,1),(2,1),(9,1),(12,1),(57,1)}
       7:{2,3,6}:{(2,1),(10,1),(12,1),(25,1)}
       8:{1,3,5}:{(3,1),(13,1),(14,1),(59,1)}
       9:{1,4,5}:{(4,1),(6,1),(16,1),(17,1),(18,1),(36,1),(50,1)}
      10:{4,6}:{(4,1),(7,1),(15,1)}
      11:{1,2,3,5}:{(5,1),(6,1),(8,1),(16,1),(18,1),(19,1),(21,1),(33,1),(36,1),(51,1)}
      12:{1,2,6}:{(6,1),(7,1),(17,1),(49,1)}
      13:{1,4,5}:{(8,1),(18,1),(20,1),(21,1),(22,1),(36,1)}
      14:{1,3,6}:{(8,1),(22,1),(56,1)}
      15:{5,6}:{(10,1)}
      16:{3,5}:{(9,1),(24,1),(25,1)}
      17:{1,4,6}:{(9,1),(10,1),(12,1),(23,1),(25,1),(41,1)}
      18:{1,4}:{(11,1),(24,1),(58,1)}
      19:{1,2,3,6}:{(11,1),(12,1),(14,1),(25,1),(27,1),(30,1),(42,1)}
      20:{3,4,5}:{(13,1),(24,1),(28,1),(29,1),(43,1),(58,1),(59,1),(60,1)}
      21:{1,2,5}:{(13,1),(26,1),(28,1),(30,1)}
      22:{1,4,6}:{(13,1),(14,1),(29,1),(30,1),(31,1)}
      23:{1,5,6}:{(15,1),(17,1),(32,1),(36,1)}
      24:{3,4}:{(16,1),(18,1),(33,1)}
      25:{3,6}:{(16,1),(17,1)}
      26:{1,2,4}:{(18,1),(21,1),(33,1),(37,1)}
      27:{1,4,6}:{(18,1),(19,1),(34,1),(36,1)}
      28:{2,3,5}:{(20,1),(21,1),(33,1),(37,1),(38,1),(53,1)}
      29:{3,4,6}:{(20,1),(22,1),(38,1),(39,1),(55,1),(56,1)}
      30:{1,2,6}:{(21,1),(22,1),(38,1)}
      31:{1,5,6}:{(22,1),(36,1),(39,1)}
      32:{3,5,6}:{(23,1),(25,1),(41,1),(43,1)}
      33:{2,3}:{(24,1),(26,1)}
      34:{3,4,6}:{(24,1),(25,1),(27,1),(41,1),(42,1),(43,1),(58,1)}
      35:{1,2,4,6}:{(26,1),(27,1),(30,1),(42,1),(44,1),(45,1),(48,1),(58,1)}
      36:{1,5}:{(27,1),(43,1)}
      37:{2,4}:{(28,1),(58,1)}
      38:{2,3,6}:{(28,1),(29,1),(30,1),(45,1)}
      39:{3,5,6}:{(29,1),(31,1),(43,1),(46,1)}
      40:{1,2,5,6}:{(30,1),(31,1),(44,1),(47,1),(48,1),(74,1),(75,1)}
      41:{4,6}:{(32,1),(49,1),(50,1)}
      42:{2,3,6}:{(33,1),(34,1),(35,1),(49,1),(51,1),(56,1)}
      43:{3,5}:{(34,1),(36,1),(50,1)}
      44:{1,2,5}:{(35,1),(36,1),(51,1),(52,1),(53,1),(76,1)}
      45:{2,4,6}:{(37,1),(38,1),(53,1),(55,1)}
      46:{4,5,6}:{(39,1),(50,1),(54,1),(55,1)}
      47:{2,3,5,6}:{(38,1),(39,1),(40,1),(51,1),(53,1),(54,1),(55,1),(56,1),(68,1),(69,1)}
      48:{1,4,6}:{(40,1),(52,1),(55,1),(56,1)}
      49:{2,6}:{(41,1),(57,1)}
      50:{4,5}:{(41,1),(43,1),(57,1),(58,1)}
      51:{2,3,5}:{(42,1),(43,1),(44,1),(57,1),(58,1),(59,1),(71,1)}
      52:{1,4,5}:{(44,1),(48,1),(58,1),(59,1),(60,1),(72,1),(74,1)}
      53:{2,5}:{(45,1),(60,1)}
      54:{2,5,6}:{(46,1),(57,1),(61,1)}
      55:{4,6}:{(47,1),(58,1),(60,1)}
      56:{3,6}:{(48,1),(59,1)}
      57:{2,5}:{(49,1),(50,1),(64,1)}
      58:{4}:{(51,1)}
      59:{3,5}:{(52,1),(56,1),(65,1)}
      60:{4,5}:{(53,1),(55,1),(68,1)}
      61:{2,4,6}:{(54,1),(55,1),(64,1),(67,1),(69,1)}
      62:{3,4,6}:{(55,1),(56,1),(65,1),(68,1),(69,1),(70,1),(77,1)}
      63:{1,3,6}:{(56,1),(66,1),(70,1),(80,1)}
      64:{2,4}:{(57,1),(58,1),(71,1)}
      65:{3,4}:{(58,1),(59,1),(71,1),(72,1)}
      66:{1,3,5}:{(59,1),(63,1),(72,1),(74,1)}
      67:{2,4,5}:{(60,1),(61,1),(73,1)}
      68:{3,5}:{(60,1),(62,1),(74,1)}
      69:{2,3,6}:{(61,1),(62,1),(71,1),(73,1),(75,1)}
      70:{1,4,6}:{(62,1),(63,1),(72,1),(74,1),(75,1),(79,1)}
      71:{2,3}:{(64,1),(65,1),(76,1)}
      72:{1,4}:{(65,1),(66,1),(76,1)}
      73:{2,3,5}:{(67,1),(68,1),(69,1),(77,1),(78,1)}
      74:{1,5}:{(68,1),(70,1)}
      75:{1,2,6}:{(69,1),(70,1),(76,1),(78,1)}
      76:{1,2}:{(71,1),(72,1)}
      77:{3,4}:{(73,1),(79,1)}
      78:{1,2,5}:{(73,1),(74,1),(75,1),(79,1)}
      79:{1,4}:{(77,1),(78,1),(80,1)}
      80:{1,3}:{(79,1)}

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

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

206 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

207 :  0:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1),(11,1),(12,1),(22,1),(35,1),(48,1),(56,1),(59,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(14,1),(17,1),(20,1),(43,1),(53,1)}
       2:{1,4}:{(0,1),(5,1),(30,1)}
       3:{1,2,4}:{(2,1),(8,1),(9,1),(24,1),(38,1),(48,1)}
       4:{1,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       5:{3,4}:{(2,1),(8,1),(12,1),(24,1),(59,1)}
       6:{1,4,5}:{(2,1),(9,1),(11,1),(12,1),(13,1),(24,1),(26,1),(40,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(14,1),(15,1),(17,1),(29,1),(30,1),(32,1),(46,1),(53,1),(58,1)}
       8:{2,3}:{(3,1),(5,1)}
       9:{1,2,5}:{(3,1),(6,1),(16,1),(17,1),(33,1)}
      10:{3,4,6}:{(4,1),(5,1),(14,1),(18,1),(20,1),(30,1),(32,1),(34,1)}
      11:{1,5}:{(4,1),(18,1)}
      12:{3,5}:{(5,1),(6,1),(20,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(32,1),(34,1)}
      14:{2,3,6}:{(7,1),(8,1),(10,1),(22,1),(37,1),(41,1),(59,1)}
      15:{1,2,5}:{(7,1),(11,1),(21,1),(22,1),(40,1),(48,1),(52,1)}
      16:{2,3,5}:{(8,1),(9,1),(12,1),(24,1),(25,1),(40,1)}
      17:{1,2,6}:{(9,1),(13,1),(25,1),(41,1)}
      18:{3,5}:{(10,1),(11,1),(26,1),(40,1)}
      19:{1,5,6}:{(11,1),(13,1),(27,1),(40,1)}
      20:{3,6}:{(12,1),(13,1)}
      21:{1,4,5}:{(15,1),(28,1),(29,1),(30,1),(42,1),(47,1),(54,1),(58,1)}
      22:{2,3,5}:{(14,1),(15,1),(18,1),(28,1),(30,1),(33,1),(44,1)}
      23:{1,2,5,6}:{(15,1),(17,1),(19,1),(29,1),(31,1),(53,1),(54,1)}
      24:{4}:{(16,1)}
      25:{2,3,6}:{(16,1),(17,1),(20,1),(32,1)}
      26:{4,5}:{(18,1),(30,1),(33,1),(34,1)}
      27:{3,5,6}:{(18,1),(19,1),(20,1),(34,1)}
      28:{3,5}:{(21,1),(36,1),(37,1),(59,1)}
      29:{1,4,6}:{(21,1),(23,1),(37,1),(39,1)}
      30:{4}:{(22,1)}
      31:{2,3,5,6}:{(22,1),(23,1),(25,1),(27,1),(37,1),(39,1),(40,1),(41,1),(50,1),(51,1),(52,1)}
      32:{4,6}:{(24,1),(25,1),(40,1)}
      33:{2,5}:{(26,1),(38,1),(41,1)}
      34:{4,6}:{(26,1),(27,1),(41,1)}
      35:{1,3,5}:{(28,1),(42,1),(43,1),(54,1)}
      36:{3,4}:{(28,1),(30,1),(42,1),(44,1)}
      37:{3,6}:{(28,1),(29,1)}
      38:{2,4}:{(30,1),(33,1),(44,1)}
      39:{4,6}:{(30,1),(31,1),(47,1)}
      40:{5}:{(32,1)}
      41:{2,6}:{(33,1),(34,1)}
      42:{1,4}:{(35,1),(36,1),(48,1)}
      43:{1,3,6}:{(35,1),(37,1),(49,1),(59,1)}
      44:{2,3}:{(36,1),(38,1),(48,1)}
      45:{3,4,6}:{(36,1),(37,1),(39,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      46:{2,4,6}:{(38,1),(39,1),(41,1),(50,1),(52,1),(57,1)}
      47:{4,5}:{(39,1),(40,1),(51,1),(52,1),(57,1)}
      48:{1,2}:{(42,1),(44,1)}
      49:{1,4,6}:{(42,1),(43,1),(45,1),(53,1),(54,1),(58,1)}
      50:{2,3,6}:{(44,1),(45,1),(46,1),(53,1),(55,1)}
      51:{3,5}:{(45,1),(47,1),(54,1)}
      52:{2,5}:{(46,1),(47,1)}
      53:{1,2,6}:{(48,1),(49,1),(50,1),(56,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{2,3,5}:{(50,1),(51,1),(52,1),(56,1),(57,1),(59,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(55,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

208 :  0:{1,2,4,6}:{(2,1),(3,1),(5,1),(12,1),(15,1),(18,1),(34,1),(42,1),(51,1),(54,1),(58,1)}
       1:{1,2,5,6}:{(3,1),(4,1),(5,1),(32,1),(41,1),(42,1),(51,1)}
       2:{2,3,6}:{(0,1),(7,1),(8,1),(11,1),(46,1),(47,1),(57,1)}
       3:{1,2,5}:{(0,1),(8,1),(9,1),(21,1),(28,1),(48,1),(59,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(23,1),(28,1),(29,1),(30,1),(47,1),(55,1),(59,1)}
       5:{1,4,6}:{(1,1),(9,1),(10,1),(11,1)}
       6:{1,2,3,6}:{(2,1),(12,1),(13,1),(20,1),(42,1),(51,1),(52,1)}
       7:{3,4,6}:{(2,1),(12,1),(14,1),(15,1),(35,1),(36,1),(52,1),(58,1)}
       8:{2,3,5}:{(2,1),(3,1),(14,1),(15,1),(16,1),(37,1),(38,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(16,1),(17,1),(39,1),(41,1),(54,1)}
      10:{4,6}:{(4,1),(15,1),(17,1)}
      11:{3,6}:{(5,1),(16,1)}
      12:{1,4,6}:{(6,1),(7,1),(21,1),(22,1)}
      13:{1,2,3,5}:{(6,1),(8,1),(21,1),(22,1),(27,1),(44,1),(45,1),(46,1),(48,1),(49,1),(57,1)}
      14:{3,5}:{(7,1),(21,1),(24,1),(59,1)}
      15:{4}:{(8,1)}
      16:{3,5}:{(9,1),(11,1),(26,1),(57,1)}
      17:{4,5}:{(10,1),(28,1),(29,1),(50,1),(59,1)}
      18:{2,4,6}:{(10,1),(25,1),(28,1),(30,1),(47,1),(50,1)}
      19:{3,4,6}:{(10,1),(11,1),(26,1),(29,1),(30,1),(31,1),(50,1),(57,1)}
      20:{1,3,6}:{(11,1),(27,1),(31,1),(57,1)}
      21:{1,5}:{(12,1),(14,1)}
      22:{1,4}:{(13,1),(15,1),(35,1)}
      23:{3,5,6}:{(14,1),(32,1),(36,1),(52,1)}
      24:{4,5}:{(14,1),(15,1),(36,1),(37,1)}
      25:{2,4}:{(15,1),(37,1),(38,1)}
      26:{3,4}:{(15,1),(16,1),(38,1),(39,1)}
      27:{1,3,5}:{(16,1),(20,1),(39,1),(41,1)}
      28:{2,5}:{(17,1),(18,1)}
      29:{3,5}:{(17,1),(19,1),(41,1)}
      30:{2,3,6}:{(18,1),(19,1),(38,1),(40,1),(42,1)}
      31:{1,4,6}:{(19,1),(20,1),(39,1),(41,1),(42,1),(54,1)}
      32:{1,5,6}:{(21,1),(23,1),(43,1),(59,1)}
      33:{1,4,5}:{(21,1),(22,1),(24,1),(43,1),(44,1),(45,1),(56,1),(59,1)}
      34:{1,2,4}:{(22,1),(25,1),(44,1),(46,1),(48,1),(56,1)}
      35:{3,4}:{(22,1),(45,1),(46,1),(56,1),(57,1)}
      36:{4,6}:{(23,1),(24,1),(47,1)}
      37:{2,5}:{(24,1),(25,1),(47,1)}
      38:{2,3}:{(25,1),(26,1),(48,1)}
      39:{1,4}:{(26,1),(27,1),(48,1)}
      40:{2,3,5}:{(28,1),(29,1),(30,1),(49,1),(50,1),(57,1)}
      41:{1,5}:{(29,1),(31,1)}
      42:{1,2,6}:{(30,1),(31,1),(48,1),(49,1)}
      43:{1,4,6}:{(32,1),(33,1),(36,1),(51,1),(52,1),(58,1)}
      44:{1,2,5}:{(33,1),(34,1),(37,1),(51,1),(53,1)}
      45:{3,5}:{(33,1),(35,1),(52,1)}
      46:{2,3}:{(34,1),(35,1)}
      47:{2,6}:{(36,1),(37,1)}
      48:{1,2}:{(38,1),(39,1)}
      49:{1,2,5}:{(40,1),(41,1),(42,1),(54,1)}
      50:{4}:{(40,1)}
      51:{1,2,6}:{(43,1),(44,1),(47,1),(55,1)}
      52:{3,6}:{(43,1),(45,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(55,1),(56,1),(59,1)}
      54:{1,4}:{(49,1),(50,1),(57,1)}
      55:{2,3,6}:{(51,1),(52,1),(53,1),(58,1)}
      56:{4}:{(53,1)}
      57:{3}:{(54,1)}
      58:{4,6}:{(55,1),(56,1),(59,1)}
      59:{5}:{(58,1)}

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

210 :  0:{2,4,5}:{(1,1),(2,1),(21,1)}
       1:{2,3,5}:{(0,1),(3,1),(4,1),(5,1),(15,1)}
       2:{2,4,6}:{(0,1),(5,1),(6,1),(16,1),(57,1)}
       3:{1,2,5}:{(1,1),(7,1),(8,1),(19,1)}
       4:{3,4}:{(1,1),(7,1)}
       5:{2,3,6}:{(1,1),(2,1),(8,1),(9,1),(49,1)}
       6:{2,5,6}:{(2,1),(11,1),(64,1)}
       7:{1,4}:{(3,1),(4,1),(12,1)}
       8:{1,2,6}:{(3,1),(5,1),(13,1),(41,1)}
       9:{3,4,6}:{(4,1),(5,1),(13,1),(15,1),(16,1),(28,1),(42,1)}
      10:{2,3,5,6}:{(5,1),(6,1),(14,1),(15,1),(16,1),(17,1),(28,1),(29,1),(31,1),(43,1)}
      11:{4,5,6}:{(6,1),(16,1),(17,1),(59,1)}
      12:{1,3}:{(7,1)}
      13:{1,4,6}:{(7,1),(8,1),(9,1),(18,1),(19,1),(33,1)}
      14:{1,2,5,6}:{(8,1),(10,1),(19,1),(20,1),(24,1),(34,1),(40,1)}
      15:{3,5}:{(9,1),(19,1),(21,1)}
      16:{4,6}:{(10,1),(21,1),(52,1)}
      17:{3,5,6}:{(11,1),(23,1),(24,1),(54,1)}
      18:{1,3,6}:{(12,1),(13,1),(25,1),(28,1)}
      19:{1,5}:{(13,1),(15,1)}
      20:{1,4,6}:{(14,1),(16,1),(26,1),(28,1)}
      21:{4,5}:{(15,1),(16,1),(29,1)}
      22:{2,4,6}:{(16,1),(29,1),(31,1),(48,1)}
      23:{3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1),(32,1)}
      24:{1,5,6}:{(17,1),(32,1),(60,1)}
      25:{1,3,5}:{(18,1),(19,1),(33,1),(35,1)}
      26:{1,4,5}:{(19,1),(20,1),(21,1),(33,1),(34,1),(35,1),(52,1)}
      27:{1,2,4,6}:{(20,1),(22,1),(34,1),(36,1),(40,1),(52,1),(53,1),(55,1)}
      28:{3,6}:{(20,1),(35,1)}
      29:{2,5}:{(21,1),(22,1)}
      30:{3,4,5}:{(21,1),(23,1),(35,1),(38,1),(39,1),(52,1),(54,1),(65,1)}
      31:{2,3,6}:{(22,1),(23,1),(38,1),(40,1)}
      32:{1,4,6}:{(23,1),(24,1),(37,1),(39,1),(40,1)}
      33:{1,4}:{(25,1),(41,1),(42,1)}
      34:{1,2,5}:{(26,1),(27,1),(29,1),(41,1),(43,1),(60,1)}
      35:{3,5}:{(26,1),(28,1),(42,1)}
      36:{2,3,6}:{(27,1),(28,1),(43,1),(46,1),(62,1),(71,1)}
      37:{1,3,6}:{(28,1),(32,1),(44,1)}
      38:{2,3,5}:{(29,1),(30,1),(31,1),(47,1),(48,1),(62,1)}
      39:{1,4,5}:{(30,1),(32,1),(44,1),(47,1),(58,1),(60,1)}
      40:{1,2,6}:{(31,1),(32,1),(47,1)}
      41:{1,2}:{(33,1),(49,1)}
      42:{3,4}:{(33,1),(35,1),(49,1),(52,1)}
      43:{2,3,5}:{(34,1),(35,1),(36,1),(49,1),(52,1),(54,1),(64,1)}
      44:{1,3,5}:{(35,1),(37,1),(39,1),(50,1)}
      45:{1,2,3,6}:{(36,1),(37,1),(40,1),(51,1),(53,1),(75,1),(76,1)}
      46:{3,4,6}:{(36,1),(52,1),(53,1),(54,1),(65,1),(67,1),(76,1)}
      47:{1,2,5}:{(38,1),(39,1),(40,1),(55,1)}
      48:{2,4}:{(38,1),(52,1)}
      49:{2,3}:{(41,1),(42,1),(57,1)}
      50:{1,3,4}:{(42,1),(44,1),(56,1),(58,1)}
      51:{1,2,3,5}:{(43,1),(44,1),(45,1),(47,1),(56,1),(58,1),(60,1),(62,1),(70,1),(72,1)}
      52:{4}:{(43,1)}
      53:{1,4,6}:{(45,1),(46,1),(58,1),(60,1)}
      54:{3,5}:{(46,1),(59,1),(60,1)}
      55:{1,2,4}:{(47,1),(48,1),(58,1),(62,1)}
      56:{1,2,3}:{(49,1),(50,1),(63,1)}
      57:{2,4}:{(49,1),(52,1),(64,1)}
      58:{1,4}:{(51,1),(52,1),(65,1)}
      59:{4,5}:{(52,1),(54,1),(64,1),(67,1)}
      60:{1,5}:{(53,1),(54,1)}
      61:{3,5,6}:{(54,1),(67,1),(68,1),(76,1)}
      62:{2,3}:{(55,1),(65,1)}
      63:{1,2,4}:{(56,1),(57,1),(58,1),(69,1),(70,1)}
      64:{2,5}:{(57,1),(59,1),(71,1)}
      65:{3,4}:{(58,1),(62,1),(72,1)}
      66:{1,4,5}:{(58,1),(59,1),(60,1),(70,1),(72,1),(73,1),(77,1)}
      67:{4,6}:{(59,1),(61,1),(71,1)}
      68:{1,5,6}:{(60,1),(61,1),(73,1),(80,1)}
      69:{2,3,4}:{(63,1),(65,1),(74,1)}
      70:{1,2,5}:{(63,1),(64,1),(66,1),(74,1),(75,1)}
      71:{2,6}:{(64,1),(67,1)}
      72:{3,5}:{(65,1),(66,1),(76,1)}
      73:{1,4,6}:{(66,1),(67,1),(68,1),(75,1),(76,1),(79,1)}
      74:{2,3,5}:{(69,1),(70,1),(72,1),(77,1),(78,1)}
      75:{1,2,6}:{(70,1),(71,1),(73,1),(78,1)}
      76:{3,6}:{(72,1),(73,1)}
      77:{4,5}:{(74,1),(79,1)}
      78:{2,3,6}:{(74,1),(75,1),(76,1),(79,1)}
      79:{4,6}:{(77,1),(78,1),(80,1)}
      80:{5,6}:{(79,1)}

211 :  0:{2,4,6}:{(3,1),(4,1),(7,1),(20,1),(49,1),(50,1),(59,1)}
       1:{3,4,6}:{(3,1),(5,1),(6,1),(18,1),(20,1),(35,1),(37,1),(39,1),(50,1)}
       2:{2,5,6}:{(4,1),(7,1),(59,1),(60,1)}
       3:{2,3,6}:{(0,1),(1,1),(10,1),(11,1),(15,1),(27,1),(43,1)}
       4:{2,5}:{(0,1),(12,1),(55,1)}
       5:{1,4,6}:{(1,1),(8,1),(10,1),(13,1),(25,1),(28,1)}
       6:{3,5}:{(1,1),(13,1),(14,1),(55,1)}
       7:{4,6}:{(2,1),(12,1),(15,1)}
       8:{1,3,6}:{(5,1),(16,1),(37,1),(39,1)}
       9:{3,5,6}:{(6,1),(17,1),(18,1),(37,1)}
      10:{1,2,6}:{(3,1),(5,1),(19,1),(24,1),(34,1)}
      11:{2,3,5}:{(3,1),(4,1),(6,1),(19,1),(20,1),(21,1),(23,1),(39,1),(40,1)}
      12:{4,5}:{(4,1),(7,1),(20,1),(21,1)}
      13:{1,5}:{(5,1),(6,1)}
      14:{4,5}:{(6,1),(18,1),(20,1),(23,1)}
      15:{3,6}:{(7,1),(21,1),(24,1)}
      16:{1,3,5}:{(8,1),(13,1),(25,1),(33,1)}
      17:{1,5,6}:{(9,1),(13,1),(26,1),(55,1)}
      18:{4,6}:{(9,1),(14,1),(27,1)}
      19:{1,2,5}:{(10,1),(11,1),(13,1),(28,1),(31,1),(47,1)}
      20:{4}:{(11,1)}
      21:{3,5}:{(12,1),(15,1),(30,1),(31,1)}
      22:{1,4,5}:{(13,1),(14,1),(25,1),(26,1),(28,1),(32,1),(33,1),(48,1),(55,1)}
      23:{2,5}:{(14,1),(27,1),(29,1)}
      24:{1,6}:{(15,1),(31,1)}
      25:{1,4}:{(16,1),(34,1),(35,1)}
      26:{1,4,6}:{(17,1),(18,1),(22,1),(36,1),(37,1),(50,1)}
      27:{2,6}:{(18,1),(23,1)}
      28:{1,4}:{(19,1),(20,1),(39,1)}
      29:{2,4}:{(20,1),(23,1),(40,1)}
      30:{3,4}:{(20,1),(21,1),(39,1),(40,1),(41,1)}
      31:{1,5}:{(21,1),(24,1),(41,1)}
      32:{1,2,5}:{(22,1),(23,1),(34,1),(36,1),(38,1),(42,1),(61,1)}
      33:{3,5}:{(22,1),(35,1),(37,1),(39,1)}
      34:{1,2}:{(25,1),(43,1)}
      35:{3,4}:{(25,1),(33,1),(43,1),(48,1)}
      36:{1,2,6}:{(26,1),(27,1),(32,1),(44,1),(63,1)}
      37:{3,6}:{(26,1),(33,1)}
      38:{1,2,4}:{(28,1),(29,1),(32,1),(45,1),(47,1),(48,1),(56,1)}
      39:{3}:{(28,1)}
      40:{2,3}:{(29,1),(30,1),(47,1)}
      41:{1,4}:{(30,1),(31,1),(46,1),(47,1)}
      42:{2,3,5}:{(32,1),(33,1),(43,1),(44,1),(45,1),(48,1),(54,1),(55,1),(57,1)}
      43:{2,3}:{(34,1),(35,1),(49,1)}
      44:{2,3,6}:{(36,1),(37,1),(42,1),(50,1),(59,1),(62,1)}
      45:{2,3}:{(38,1),(39,1),(52,1)}
      46:{1,3}:{(39,1),(41,1)}
      47:{1,2}:{(40,1),(41,1)}
      48:{4}:{(42,1)}
      49:{2,4}:{(43,1),(48,1),(54,1)}
      50:{4,6}:{(44,1),(48,1),(55,1)}
      51:{1,2,3}:{(45,1),(46,1),(47,1),(56,1)}
      52:{3,4}:{(45,1),(48,1),(56,1),(57,1)}
      53:{4,5}:{(48,1),(54,1),(55,1),(57,1),(58,1)}
      54:{2,5}:{(49,1),(53,1),(59,1)}
      55:{5}:{(50,1)}
      56:{1,4}:{(51,1),(52,1),(61,1)}
      57:{3,5}:{(52,1),(53,1),(61,1),(62,1)}
      58:{4,6}:{(53,1),(59,1),(60,1),(62,1)}
      59:{2,6}:{(54,1),(58,1)}
      60:{5,6}:{(55,1),(58,1)}
      61:{1,5}:{(56,1),(57,1),(63,1)}
      62:{3,6}:{(57,1),(58,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

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

213 :  0:{1,3,4}:{(2,1),(3,1),(17,1),(71,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(28,1),(47,1),(51,1),(62,1),(63,1)}
       2:{1,3,5}:{(0,1),(6,1),(9,1),(63,1)}
       3:{1,2,3}:{(0,1),(10,1),(76,1)}
       4:{2,3,4}:{(10,1),(11,1),(28,1)}
       5:{2,3,5}:{(1,1),(12,1),(13,1),(14,1),(33,1),(36,1)}
       6:{1,4,5}:{(1,1),(2,1),(12,1),(15,1),(17,1),(42,1)}
       7:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(37,1),(55,1)}
       8:{1,2,3,5}:{(2,1),(3,1),(12,1),(17,1),(18,1),(20,1),(33,1),(39,1),(42,1),(53,1)}
       9:{1,3,6}:{(2,1),(15,1),(55,1)}
      10:{1,2,4}:{(3,1),(4,1),(17,1),(20,1),(70,1)}
      11:{2,3,5}:{(4,1),(19,1),(20,1),(21,1),(39,1)}
      12:{1,2,5}:{(5,1),(6,1),(22,1),(23,1)}
      13:{2,4}:{(5,1),(62,1)}
      14:{2,3,6}:{(5,1),(7,1),(23,1),(24,1)}
      15:{1,4,6}:{(6,1),(7,1),(9,1),(23,1),(26,1)}
      16:{3,5,6}:{(7,1),(26,1),(27,1),(51,1)}
      17:{1,4}:{(8,1),(28,1),(62,1)}
      18:{1,2,3,6}:{(8,1),(9,1),(23,1),(30,1),(32,1),(44,1),(50,1)}
      19:{4,5}:{(11,1),(31,1)}
      20:{1,2,5}:{(10,1),(11,1),(29,1),(32,1),(69,1)}
      21:{2,3,6}:{(11,1),(31,1),(32,1),(50,1)}
      22:{1,2,4}:{(12,1),(13,1),(17,1),(33,1)}
      23:{1,2,6}:{(12,1),(14,1),(15,1)}
      24:{2,4,6}:{(13,1),(14,1),(36,1),(37,1)}
      25:{2,3,5,6}:{(14,1),(16,1),(35,1),(36,1),(37,1),(38,1),(53,1),(55,1),(57,1),(58,1)}
      26:{1,5,6}:{(15,1),(16,1),(42,1)}
      27:{4,5,6}:{(16,1),(37,1),(38,1),(61,1)}
      28:{3,4}:{(17,1),(33,1),(39,1)}
      29:{1,4,5}:{(17,1),(19,1),(20,1),(39,1),(41,1),(42,1),(61,1)}
      30:{1,4,6}:{(17,1),(18,1),(40,1),(42,1)}
      31:{4,6}:{(19,1),(21,1),(43,1)}
      32:{1,2,6}:{(20,1),(21,1),(41,1),(75,1)}
      33:{2,3}:{(22,1),(28,1)}
      34:{1,2,4,6}:{(22,1),(23,1),(24,1),(30,1),(44,1),(45,1),(46,1),(62,1)}
      35:{1,2,5,6}:{(23,1),(25,1),(26,1),(45,1),(46,1),(66,1),(67,1)}
      36:{2,5}:{(24,1),(47,1)}
      37:{4,6}:{(25,1),(47,1),(62,1)}
      38:{2,5,6}:{(27,1),(48,1),(69,1)}
      39:{3,5}:{(28,1),(29,1),(50,1)}
      40:{3,4,6}:{(28,1),(30,1),(44,1),(50,1),(51,1),(62,1),(68,1)}
      41:{1,4,6}:{(29,1),(31,1),(32,1),(50,1),(52,1),(68,1)}
      42:{1,5}:{(30,1),(51,1)}
      43:{5,6}:{(31,1)}
      44:{2,3,6}:{(33,1),(34,1),(40,1),(53,1),(55,1),(75,1)}
      45:{1,2,5}:{(34,1),(36,1),(42,1),(53,1),(54,1),(79,1)}
      46:{1,4,6}:{(35,1),(37,1),(54,1),(55,1)}
      47:{4,5}:{(36,1),(37,1),(57,1)}
      48:{2,4,6}:{(37,1),(38,1),(56,1),(58,1),(70,1)}
      49:{3,4,6}:{(37,1),(55,1),(57,1),(58,1),(59,1),(71,1),(74,1)}
      50:{3,6}:{(39,1),(41,1)}
      51:{3,5}:{(40,1),(42,1),(61,1)}
      52:{1,5,6}:{(41,1),(42,1),(43,1),(60,1)}
      53:{2,3,5}:{(44,1),(45,1),(51,1),(62,1),(63,1),(69,1),(76,1)}
      54:{1,4,5}:{(45,1),(46,1),(47,1),(62,1),(63,1),(66,1),(77,1)}
      55:{3,6}:{(46,1),(63,1)}
      56:{2,4,5}:{(47,1),(48,1),(65,1)}
      57:{3,5}:{(47,1),(49,1),(66,1)}
      58:{2,3,6}:{(48,1),(49,1),(65,1),(67,1),(76,1)}
      59:{1,4,6}:{(49,1),(64,1),(66,1),(67,1),(77,1),(78,1)}
      60:{3,5,6}:{(50,1),(51,1),(52,1),(68,1)}
      61:{4,5}:{(51,1),(62,1),(68,1),(69,1)}
      62:{4}:{(53,1)}
      63:{3,5}:{(54,1),(55,1),(71,1)}
      64:{1,3,6}:{(55,1),(59,1),(72,1),(80,1)}
      65:{2,3,5}:{(56,1),(57,1),(58,1),(73,1),(74,1)}
      66:{1,5}:{(57,1),(59,1)}
      67:{1,2,6}:{(58,1),(59,1),(73,1),(79,1)}
      68:{4,6}:{(60,1),(61,1),(75,1)}
      69:{2,5}:{(61,1),(70,1),(75,1)}
      70:{2,4}:{(62,1),(69,1),(76,1)}
      71:{3,4}:{(62,1),(63,1),(76,1),(77,1)}
      72:{1,3,5}:{(63,1),(64,1),(66,1),(77,1)}
      73:{1,2,5}:{(65,1),(66,1),(67,1),(78,1)}
      74:{3,4}:{(65,1),(78,1)}
      75:{2,6}:{(68,1),(69,1)}
      76:{2,3}:{(70,1),(71,1),(79,1)}
      77:{1,4}:{(71,1),(72,1),(79,1)}
      78:{1,4}:{(73,1),(74,1),(80,1)}
      79:{1,2}:{(76,1),(77,1)}
      80:{1,3}:{(78,1)}

214 :  0:{2,3,4}:{(1,1),(2,1),(28,1)}
       1:{1,2,4}:{(0,1),(5,1),(6,1),(21,1),(71,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1),(18,1)}
       3:{1,3,4}:{(5,1),(8,1),(21,1),(72,1)}
       4:{4,5}:{(2,1),(11,1)}
       5:{1,2,3}:{(1,1),(3,1),(76,1)}
       6:{1,2,5}:{(1,1),(2,1),(10,1),(13,1),(65,1)}
       7:{2,3,6}:{(2,1),(11,1),(13,1),(29,1)}
       8:{1,3,5}:{(3,1),(14,1),(15,1),(66,1)}
       9:{3,4,5}:{(14,1),(16,1),(17,1),(28,1),(48,1),(52,1),(64,1),(66,1)}
      10:{1,4,5}:{(4,1),(6,1),(18,1),(19,1),(21,1),(42,1),(56,1)}
      11:{4,6}:{(4,1),(7,1),(20,1)}
      12:{1,2,3,5}:{(5,1),(6,1),(8,1),(18,1),(21,1),(22,1),(23,1),(38,1),(42,1),(55,1)}
      13:{1,2,6}:{(6,1),(7,1),(19,1),(57,1)}
      14:{1,4,5}:{(8,1),(9,1),(21,1),(23,1),(24,1),(42,1)}
      15:{1,3,6}:{(8,1),(24,1),(59,1)}
      16:{2,3,5}:{(9,1),(23,1),(25,1),(26,1),(38,1),(44,1)}
      17:{3,4,6}:{(9,1),(24,1),(26,1),(27,1),(45,1),(59,1)}
      18:{3,5}:{(10,1),(28,1),(29,1)}
      19:{1,4,6}:{(10,1),(11,1),(13,1),(29,1),(30,1),(49,1)}
      20:{5,6}:{(11,1)}
      21:{1,4}:{(12,1),(28,1),(64,1)}
      22:{1,2,3,6}:{(12,1),(13,1),(15,1),(29,1),(32,1),(33,1),(47,1)}
      23:{1,2,5}:{(14,1),(16,1),(31,1),(33,1)}
      24:{1,4,6}:{(14,1),(15,1),(17,1),(33,1),(34,1)}
      25:{2,4}:{(16,1),(64,1)}
      26:{2,3,6}:{(16,1),(17,1),(33,1),(35,1)}
      27:{3,5,6}:{(17,1),(34,1),(37,1),(48,1)}
      28:{3,4}:{(18,1),(21,1),(38,1)}
      29:{3,6}:{(18,1),(19,1)}
      30:{1,5,6}:{(19,1),(20,1),(40,1),(42,1)}
      31:{1,2,4}:{(21,1),(23,1),(25,1),(38,1)}
      32:{1,4,6}:{(21,1),(22,1),(39,1),(42,1)}
      33:{1,2,6}:{(23,1),(24,1),(26,1)}
      34:{1,5,6}:{(24,1),(27,1),(42,1)}
      35:{2,4,6}:{(25,1),(26,1),(44,1),(45,1)}
      36:{2,3,5,6}:{(26,1),(27,1),(43,1),(44,1),(45,1),(46,1),(55,1),(59,1),(61,1),(62,1)}
      37:{4,5,6}:{(27,1),(45,1),(46,1),(56,1)}
      38:{2,3}:{(28,1),(31,1)}
      39:{3,4,6}:{(28,1),(29,1),(32,1),(47,1),(48,1),(49,1),(64,1)}
      40:{3,5,6}:{(29,1),(30,1),(48,1),(49,1)}
      41:{1,2,4,6}:{(31,1),(32,1),(33,1),(35,1),(47,1),(50,1),(51,1),(64,1)}
      42:{1,5}:{(32,1),(48,1)}
      43:{1,2,5,6}:{(33,1),(34,1),(36,1),(50,1),(51,1),(69,1),(70,1)}
      44:{2,5}:{(35,1),(52,1)}
      45:{4,6}:{(36,1),(52,1),(64,1)}
      46:{2,5,6}:{(37,1),(53,1),(65,1)}
      47:{2,3,6}:{(38,1),(39,1),(41,1),(55,1),(57,1),(59,1)}
      48:{3,5}:{(39,1),(42,1),(56,1)}
      49:{4,6}:{(40,1),(56,1),(57,1)}
      50:{1,2,5}:{(41,1),(42,1),(44,1),(55,1),(58,1),(79,1)}
      51:{1,4,6}:{(43,1),(45,1),(58,1),(59,1)}
      52:{4,5}:{(44,1),(45,1),(61,1)}
      53:{2,4,6}:{(45,1),(46,1),(60,1),(62,1),(71,1)}
      54:{3,4,6}:{(45,1),(59,1),(61,1),(62,1),(63,1),(72,1),(75,1)}
      55:{2,3,5}:{(47,1),(48,1),(50,1),(64,1),(65,1),(66,1),(76,1)}
      56:{4,5}:{(48,1),(49,1),(64,1),(65,1)}
      57:{2,6}:{(49,1),(65,1)}
      58:{1,4,5}:{(50,1),(51,1),(52,1),(64,1),(66,1),(69,1),(77,1)}
      59:{3,6}:{(51,1),(66,1)}
      60:{2,4,5}:{(52,1),(53,1),(68,1)}
      61:{3,5}:{(52,1),(54,1),(69,1)}
      62:{2,3,6}:{(53,1),(54,1),(68,1),(70,1),(76,1)}
      63:{1,4,6}:{(54,1),(67,1),(69,1),(70,1),(77,1),(78,1)}
      64:{4}:{(55,1)}
      65:{2,5}:{(56,1),(57,1),(71,1)}
      66:{3,5}:{(58,1),(59,1),(72,1)}
      67:{1,3,6}:{(59,1),(63,1),(73,1),(80,1)}
      68:{2,3,5}:{(60,1),(61,1),(62,1),(74,1),(75,1)}
      69:{1,5}:{(61,1),(63,1)}
      70:{1,2,6}:{(62,1),(63,1),(74,1),(79,1)}
      71:{2,4}:{(64,1),(65,1),(76,1)}
      72:{3,4}:{(64,1),(66,1),(76,1),(77,1)}
      73:{1,3,5}:{(66,1),(67,1),(69,1),(77,1)}
      74:{1,2,5}:{(68,1),(69,1),(70,1),(78,1)}
      75:{3,4}:{(68,1),(78,1)}
      76:{2,3}:{(71,1),(72,1),(79,1)}
      77:{1,4}:{(72,1),(73,1),(79,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{1,2}:{(76,1),(77,1)}
      80:{1,3}:{(78,1)}

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

216 :   0:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(8,1),(23,1),(24,1),(25,1),(43,1),(47,1),(56,1),(81,1),(92,1)}
        1:{1,4,6}:{(0,1),(2,1),(4,1),(37,1),(38,1)}
        2:{1,4,5}:{(1,1),(6,1),(7,1),(26,1),(52,1),(81,1)}
        3:{1,2,4,6}:{(1,1),(6,1),(8,1),(26,1),(47,1),(48,1),(49,1)}
        4:{3,4,6}:{(1,1),(7,1),(8,1),(26,1),(53,1),(92,1)}
        5:{1,4,5,6}:{(2,1),(12,1),(13,1),(33,1),(37,1),(71,1),(72,1),(74,1),(100,1),(122,1)}
        6:{1,2,5}:{(2,1),(3,1),(14,1),(66,1)}
        7:{3,5}:{(2,1),(4,1)}
        8:{2,3,6}:{(3,1),(4,1),(14,1),(67,1)}
        9:{1,3,4,6}:{(4,1),(15,1),(16,1),(33,1),(38,1),(60,1),(62,1),(70,1),(101,1),(125,1)}
       10:{1,2,4,5}:{(6,1),(18,1),(19,1),(26,1),(45,1),(49,1),(50,1),(52,1),(54,1),(78,1),(81,1),(86,1),(108,1),(116,1),(134,1)}
       11:{3,4,5}:{(7,1),(20,1),(21,1),(22,1),(26,1),(52,1),(53,1),(90,1),(116,1)}
       12:{1,2,5,6}:{(5,1),(6,1),(18,1),(23,1),(47,1),(81,1),(86,1),(87,1)}
       13:{3,5,6}:{(5,1),(7,1),(20,1),(90,1),(92,1),(133,1)}
       14:{2,3,5}:{(6,1),(7,1),(8,1),(26,1)}
       15:{1,3,5}:{(7,1),(9,1),(22,1),(81,1),(90,1),(136,1)}
       16:{1,2,3,6}:{(8,1),(9,1),(25,1),(27,1),(47,1),(77,1),(85,1),(92,1)}
       17:{2,3,4,6}:{(8,1),(26,1),(27,1),(28,1),(42,1),(44,1),(48,1),(53,1),(55,1),(79,1),(85,1),(92,1),(116,1),(118,1),(138,1)}
       18:{1,2,4,6}:{(10,1),(12,1),(29,1),(37,1),(60,1),(69,1),(74,1),(98,1),(122,1)}
       19:{2,3,5}:{(10,1),(29,1),(31,1),(61,1),(67,1),(73,1),(121,1),(140,1)}
       20:{3,4,6}:{(11,1),(13,1),(32,1),(33,1),(37,1)}
       21:{2,3,5}:{(11,1),(32,1),(34,1),(35,1),(66,1),(67,1)}
       22:{1,4,5}:{(11,1),(15,1),(33,1),(34,1),(38,1)}
       23:{2,3,5,6}:{(12,1),(13,1),(14,1),(29,1),(32,1),(37,1),(61,1),(66,1),(102,1)}
       24:{1,3,5,6}:{(13,1),(15,1),(33,1),(100,1),(101,1)}
       25:{1,2,3,5}:{(14,1),(15,1),(16,1),(34,1),(38,1),(40,1),(67,1),(73,1),(102,1)}
       26:{4}:{(14,1)}
       27:{1,2,4,6}:{(16,1),(17,1),(38,1),(40,1),(58,1),(60,1),(74,1),(98,1),(125,1)}
       28:{2,3,5}:{(17,1),(39,1),(40,1),(61,1),(66,1),(73,1),(130,1),(144,1)}
       29:{2,3,6}:{(18,1),(19,1),(44,1),(92,1),(133,1)}
       30:{1,2,3,5}:{(19,1),(43,1),(45,1),(77,1),(78,1),(81,1),(83,1)}
       31:{3,4}:{(19,1),(26,1),(45,1),(116,1)}
       32:{2,3,6}:{(20,1),(21,1),(47,1),(48,1)}
       33:{1,4,6}:{(20,1),(22,1),(24,1),(47,1)}
       34:{1,2,5}:{(21,1),(22,1),(47,1),(49,1)}
       35:{2,4}:{(21,1),(26,1),(116,1)}
       36:{1,2,3,5,6}:{(23,1),(24,1),(25,1),(43,1),(47,1),(51,1),(56,1),(81,1),(85,1),(86,1),(90,1),(92,1),(110,1),(111,1),(113,1),(115,1),(117,1),(133,1),(136,1),(137,1)}
       37:{4,6}:{(23,1),(26,1),(52,1),(116,1)}
       38:{1,4}:{(25,1),(26,1),(53,1),(116,1)}
       39:{4,5}:{(26,1),(28,1),(55,1),(116,1)}
       40:{1,2,5}:{(27,1),(28,1),(54,1),(81,1),(136,1)}
       41:{2,3,5,6}:{(28,1),(55,1),(56,1),(79,1),(82,1),(87,1),(92,1)}
       42:{2,3,4}:{(31,1),(35,1),(58,1),(59,1),(67,1),(104,1),(128,1),(140,1)}
       43:{1,2,3,6}:{(29,1),(30,1),(60,1),(98,1),(101,1)}
       44:{3,4,6}:{(29,1),(31,1),(37,1),(60,1),(61,1)}
       45:{1,4}:{(30,1),(31,1)}
       46:{3,4,5}:{(31,1),(39,1),(59,1),(61,1),(63,1),(64,1),(73,1),(93,1),(104,1),(121,1),(130,1)}
       47:{1,2,6}:{(32,1),(33,1),(34,1)}
       48:{2,4,6}:{(32,1),(35,1),(37,1),(66,1)}
       49:{1,2,4}:{(34,1),(35,1),(38,1),(67,1)}
       50:{2,4,5}:{(35,1),(39,1),(59,1),(66,1),(69,1),(93,1),(128,1),(144,1)}
       51:{1,4,6}:{(36,1),(37,1),(38,1),(70,1),(71,1),(123,1),(129,1)}
       52:{4,5}:{(37,1),(61,1),(66,1)}
       53:{3,4}:{(38,1),(67,1),(73,1)}
       54:{1,4,5}:{(38,1),(39,1),(40,1),(73,1),(74,1)}
       55:{4,6}:{(39,1),(41,1)}
       56:{1,2,5,6}:{(40,1),(41,1),(74,1),(98,1),(100,1)}
       57:{2,3,4,6}:{(42,1),(44,1),(48,1),(75,1),(76,1),(79,1),(85,1),(109,1),(116,1),(118,1),(132,1),(133,1),(138,1),(145,1),(149,1)}
       58:{1,2,4}:{(42,1),(45,1),(77,1),(78,1),(112,1)}
       59:{2,3,5}:{(42,1),(46,1),(50,1),(78,1),(79,1)}
       60:{1,4,6}:{(43,1),(44,1),(45,1),(81,1)}
       61:{3,5}:{(44,1),(52,1),(81,1)}
       62:{1,3,4}:{(45,1),(53,1),(77,1),(83,1),(112,1),(132,1)}
       63:{1,4,5}:{(45,1),(46,1),(78,1),(81,1),(83,1),(84,1),(112,1),(136,1)}
       64:{3,4,6}:{(46,1),(55,1),(79,1),(82,1),(84,1),(92,1),(109,1),(133,1)}
       65:{1,2,4,6}:{(47,1),(48,1),(49,1),(51,1),(85,1),(86,1),(116,1),(134,1),(137,1),(138,1)}
       66:{2,5}:{(48,1),(52,1)}
       67:{2,3}:{(49,1),(53,1)}
       68:{1,2,4,5}:{(49,1),(50,1),(54,1),(78,1),(86,1),(88,1),(89,1),(108,1),(112,1),(116,1),(134,1),(136,1),(139,1),(147,1),(149,1)}
       69:{2,4,6}:{(50,1),(55,1),(79,1),(87,1),(109,1)}
       70:{3,4,6}:{(51,1),(53,1),(85,1),(90,1),(92,1),(116,1),(132,1),(133,1)}
       71:{1,4,5}:{(51,1),(52,1),(81,1),(86,1),(90,1),(116,1),(136,1),(139,1)}
       72:{4,5,6}:{(52,1),(55,1),(82,1),(87,1),(109,1),(139,1)}
       73:{3,5}:{(53,1),(54,1),(92,1)}
       74:{1,4,6}:{(54,1),(55,1),(56,1),(92,1)}
       75:{1,2,4,6}:{(57,1),(58,1),(60,1),(94,1),(95,1),(98,1),(122,1),(123,1),(125,1)}
       76:{2,3,5}:{(57,1),(61,1),(66,1),(93,1),(95,1),(121,1),(130,1),(144,1)}
       77:{1,2,3}:{(58,1),(62,1),(67,1),(140,1)}
       78:{1,2,5}:{(58,1),(59,1),(63,1),(98,1)}
       79:{2,3,6}:{(59,1),(64,1),(69,1),(98,1)}
       80:{1,3,4,6}:{(60,1),(62,1),(70,1),(94,1),(99,1),(101,1),(123,1),(125,1),(127,1),(141,1)}
       81:{1,5}:{(60,1),(61,1)}
       82:{3,5,6}:{(61,1),(64,1),(72,1),(100,1),(130,1)}
       83:{1,3,5}:{(62,1),(63,1),(73,1),(101,1),(121,1)}
       84:{1,4,6}:{(63,1),(64,1),(98,1),(100,1),(101,1)}
       85:{2,3,6}:{(65,1),(67,1),(70,1),(102,1),(140,1)}
       86:{1,2,5}:{(65,1),(66,1),(71,1),(102,1),(144,1)}
       87:{2,5,6}:{(66,1),(69,1),(72,1),(144,1)}
       88:{2,3,5}:{(67,1),(68,1),(73,1),(104,1),(105,1),(121,1),(130,1),(140,1)}
       89:{1,2,4,6}:{(68,1),(69,1),(74,1),(98,1),(103,1),(105,1),(122,1),(125,1),(129,1)}
       90:{3,5}:{(70,1),(71,1)}
       91:{1,4,5,6}:{(71,1),(72,1),(74,1),(100,1),(103,1),(107,1),(122,1),(127,1),(129,1),(143,1)}
       92:{3,6}:{(73,1),(74,1)}
       93:{4,5}:{(76,1),(109,1),(116,1),(149,1)}
       94:{1,2,3,6}:{(75,1),(77,1),(80,1),(85,1),(110,1),(133,1),(137,1),(145,1)}
       95:{1,2,5}:{(75,1),(76,1),(81,1),(108,1),(136,1)}
       96:{2,3,5,6}:{(76,1),(79,1),(82,1),(87,1),(109,1),(111,1),(133,1)}
       97:{1,2,3,5}:{(77,1),(78,1),(83,1),(88,1),(112,1),(113,1),(136,1)}
       98:{1,2,6}:{(78,1),(79,1),(84,1)}
       99:{1,3,5}:{(80,1),(81,1),(90,1),(114,1),(136,1),(146,1)}
      100:{1,5,6}:{(81,1),(82,1),(84,1),(136,1)}
      101:{1,3,6}:{(83,1),(84,1),(92,1),(133,1)}
      102:{2,3,5}:{(85,1),(86,1),(90,1),(116,1)}
      103:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(117,1),(136,1),(137,1),(147,1)}
      104:{3,4}:{(88,1),(112,1),(116,1),(149,1)}
      105:{2,3,6}:{(88,1),(89,1),(92,1),(118,1),(133,1)}
      106:{3,4,5}:{(90,1),(114,1),(116,1),(119,1),(120,1),(132,1),(139,1),(146,1),(149,1)}
      107:{3,5,6}:{(90,1),(91,1),(92,1),(120,1),(133,1),(146,1)}
      108:{1,4,5}:{(93,1),(95,1),(121,1),(122,1),(123,1)}
      109:{4,6}:{(93,1),(96,1)}
      110:{1,2,3,5}:{(94,1),(95,1),(99,1),(102,1),(121,1),(123,1),(126,1),(140,1),(148,1)}
      111:{1,2,5,6}:{(95,1),(96,1),(98,1),(100,1),(122,1)}
      112:{1,4}:{(97,1),(104,1)}
      113:{1,2,3,6}:{(97,1),(98,1),(101,1),(105,1),(125,1)}
      114:{1,4,5}:{(99,1),(106,1),(123,1),(126,1),(127,1)}
      115:{1,3,5,6}:{(99,1),(100,1),(101,1),(107,1),(127,1)}
      116:{4}:{(102,1)}
      117:{2,3,5,6}:{(102,1),(103,1),(105,1),(107,1),(129,1),(130,1),(131,1),(144,1),(148,1)}
      118:{3,4,6}:{(104,1),(105,1),(125,1),(129,1),(130,1)}
      119:{2,3,5}:{(106,1),(126,1),(128,1),(131,1),(140,1),(144,1)}
      120:{3,4,6}:{(106,1),(107,1),(127,1),(129,1),(131,1)}
      121:{3,5}:{(108,1),(132,1),(133,1)}
      122:{1,4,6}:{(108,1),(109,1),(111,1),(133,1)}
      123:{1,4}:{(110,1),(116,1),(132,1),(149,1)}
      124:{1,2,3,5,6}:{(110,1),(111,1),(113,1),(115,1),(117,1),(133,1),(135,1),(136,1),(137,1),(145,1),(146,1),(147,1)}
      125:{1,4,6}:{(112,1),(113,1),(118,1),(136,1)}
      126:{1,2,5}:{(114,1),(119,1),(134,1),(137,1)}
      127:{1,4,6}:{(114,1),(115,1),(120,1),(137,1)}
      128:{2,4}:{(116,1),(119,1),(149,1)}
      129:{4,6}:{(116,1),(117,1),(139,1),(149,1)}
      130:{3,5}:{(118,1),(136,1),(139,1)}
      131:{2,3,6}:{(119,1),(120,1),(137,1),(138,1)}
      132:{3,4}:{(121,1),(123,1),(140,1)}
      133:{3,6}:{(121,1),(122,1)}
      134:{1,2,4}:{(123,1),(126,1),(128,1),(140,1)}
      135:{1,4,6}:{(123,1),(124,1),(129,1),(141,1),(143,1)}
      136:{1,5}:{(125,1),(130,1)}
      137:{1,2,6}:{(126,1),(127,1),(131,1)}
      138:{2,4,6}:{(128,1),(129,1),(131,1),(144,1)}
      139:{4,5}:{(129,1),(130,1),(144,1)}
      140:{2,3}:{(132,1),(134,1)}
      141:{3,4,6}:{(132,1),(133,1),(135,1),(145,1),(146,1),(149,1)}
      142:{1,2,4,6}:{(134,1),(135,1),(137,1),(138,1),(145,1),(147,1),(149,1)}
      143:{1,4,5}:{(135,1),(136,1),(139,1),(146,1),(147,1),(149,1)}
      144:{2,5}:{(138,1),(139,1)}
      145:{2,3,6}:{(140,1),(141,1),(142,1),(148,1)}
      146:{3,5}:{(141,1),(143,1)}
      147:{1,2,5}:{(142,1),(143,1),(144,1),(148,1)}
      148:{2,3,5}:{(145,1),(146,1),(147,1),(149,1)}
      149:{4}:{(148,1)}

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

218 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

219 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(8,1),(10,1),(13,1),(23,1),(40,1),(52,1),(56,1),(59,1)}
       1:{1,4}:{(0,1),(4,1),(30,1)}
       2:{1,2,3,6}:{(0,1),(6,1),(15,1),(16,1),(18,1),(47,1),(55,1)}
       3:{1,2,4}:{(1,1),(7,1),(8,1),(21,1),(37,1),(52,1)}
       4:{3,4}:{(1,1),(7,1),(10,1),(21,1),(59,1)}
       5:{1,4,5}:{(1,1),(8,1),(10,1),(12,1),(13,1),(21,1),(27,1),(35,1)}
       6:{1,4,6}:{(1,1),(2,1),(11,1),(13,1)}
       7:{2,3}:{(3,1),(4,1)}
       8:{1,2,5}:{(3,1),(5,1),(14,1),(16,1),(34,1)}
       9:{1,2,4,6}:{(3,1),(6,1),(15,1),(16,1),(17,1),(28,1),(30,1),(31,1),(43,1),(55,1),(58,1)}
      10:{3,5}:{(4,1),(5,1),(18,1)}
      11:{3,4,6}:{(4,1),(6,1),(15,1),(18,1),(19,1),(28,1),(30,1),(33,1)}
      12:{1,4,6}:{(5,1),(16,1),(18,1),(20,1),(28,1),(33,1)}
      13:{1,5}:{(6,1),(19,1)}
      14:{2,3,5}:{(7,1),(8,1),(10,1),(21,1),(22,1),(35,1)}
      15:{2,3,6}:{(7,1),(9,1),(11,1),(23,1),(39,1),(41,1),(59,1)}
      16:{1,2,6}:{(8,1),(12,1),(22,1),(41,1)}
      17:{1,2,5}:{(9,1),(13,1),(23,1),(25,1),(35,1),(48,1),(52,1)}
      18:{3,6}:{(10,1),(12,1)}
      19:{3,5}:{(11,1),(13,1),(27,1),(35,1)}
      20:{1,5,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{4}:{(14,1)}
      22:{2,3,6}:{(14,1),(16,1),(18,1),(28,1)}
      23:{2,3,5}:{(15,1),(17,1),(19,1),(30,1),(32,1),(34,1),(45,1)}
      24:{1,2,5,6}:{(16,1),(17,1),(20,1),(29,1),(31,1),(54,1),(55,1)}
      25:{1,4,5}:{(17,1),(30,1),(31,1),(32,1),(42,1),(46,1),(54,1),(58,1)}
      26:{3,5,6}:{(18,1),(19,1),(20,1),(33,1)}
      27:{4,5}:{(19,1),(30,1),(33,1),(34,1)}
      28:{4,6}:{(21,1),(22,1),(35,1)}
      29:{2,3,5,6}:{(22,1),(23,1),(24,1),(26,1),(35,1),(36,1),(39,1),(41,1),(48,1),(49,1),(50,1)}
      30:{4}:{(23,1)}
      31:{1,4,6}:{(24,1),(25,1),(36,1),(39,1)}
      32:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      33:{4,6}:{(26,1),(27,1),(41,1)}
      34:{2,5}:{(27,1),(37,1),(41,1)}
      35:{5}:{(28,1)}
      36:{4,6}:{(29,1),(30,1),(42,1)}
      37:{2,4}:{(30,1),(34,1),(45,1)}
      38:{3,4}:{(30,1),(32,1),(45,1),(46,1)}
      39:{3,6}:{(31,1),(32,1)}
      40:{1,3,5}:{(32,1),(46,1),(47,1),(54,1)}
      41:{2,6}:{(33,1),(34,1)}
      42:{4,5}:{(35,1),(36,1),(48,1),(49,1),(57,1)}
      43:{2,4,6}:{(36,1),(37,1),(41,1),(48,1),(50,1),(57,1)}
      44:{3,4,6}:{(36,1),(38,1),(39,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      45:{2,3}:{(37,1),(38,1),(52,1)}
      46:{1,4}:{(38,1),(40,1),(52,1)}
      47:{1,3,6}:{(39,1),(40,1),(51,1),(59,1)}
      48:{2,5}:{(42,1),(43,1)}
      49:{3,5}:{(42,1),(44,1),(54,1)}
      50:{2,3,6}:{(43,1),(44,1),(45,1),(53,1),(55,1)}
      51:{1,4,6}:{(44,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      52:{1,2}:{(45,1),(46,1)}
      53:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{1,2,6}:{(50,1),(51,1),(52,1),(56,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(53,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

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

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

222 :  0:{2,4,6}:{(4,1),(5,1),(10,1),(22,1),(44,1),(51,1),(60,1)}
       1:{3,4,6}:{(4,1),(6,1),(7,1),(9,1),(22,1),(27,1),(38,1),(40,1),(44,1)}
       2:{3,5,6}:{(7,1),(8,1),(9,1),(27,1)}
       3:{2,5,6}:{(5,1),(10,1),(55,1),(60,1)}
       4:{2,3,6}:{(0,1),(1,1),(12,1),(13,1),(18,1),(19,1),(45,1)}
       5:{2,5}:{(0,1),(14,1),(50,1)}
       6:{1,4,6}:{(1,1),(11,1),(12,1),(15,1),(29,1),(30,1)}
       7:{3,5}:{(1,1),(15,1),(16,1),(50,1)}
       8:{1,5,6}:{(2,1),(15,1),(17,1),(50,1)}
       9:{4,6}:{(2,1),(16,1),(18,1)}
      10:{4,6}:{(3,1),(14,1),(19,1)}
      11:{1,3,6}:{(6,1),(20,1),(27,1),(40,1)}
      12:{1,2,6}:{(4,1),(6,1),(21,1),(28,1),(37,1)}
      13:{2,3,5}:{(4,1),(5,1),(7,1),(21,1),(22,1),(23,1),(25,1),(40,1),(41,1)}
      14:{4,5}:{(5,1),(10,1),(22,1),(23,1)}
      15:{1,5}:{(6,1),(7,1)}
      16:{4,5}:{(7,1),(9,1),(22,1),(25,1)}
      17:{1,4,6}:{(8,1),(9,1),(24,1),(26,1),(27,1),(44,1)}
      18:{2,6}:{(9,1),(25,1)}
      19:{3,6}:{(10,1),(23,1),(28,1)}
      20:{1,3,5}:{(11,1),(15,1),(29,1),(35,1)}
      21:{1,2,5}:{(12,1),(13,1),(15,1),(30,1),(33,1),(48,1)}
      22:{4}:{(13,1)}
      23:{3,5}:{(14,1),(19,1),(32,1),(33,1)}
      24:{1,4,5}:{(15,1),(16,1),(17,1),(29,1),(30,1),(34,1),(35,1),(49,1),(50,1)}
      25:{2,5}:{(16,1),(18,1),(31,1)}
      26:{1,2,6}:{(17,1),(18,1),(34,1),(36,1),(63,1)}
      27:{3,6}:{(17,1),(35,1)}
      28:{1,6}:{(19,1),(33,1)}
      29:{1,4}:{(20,1),(37,1),(38,1)}
      30:{1,4}:{(21,1),(22,1),(40,1)}
      31:{2,4}:{(22,1),(25,1),(41,1)}
      32:{3,4}:{(22,1),(23,1),(40,1),(41,1),(42,1)}
      33:{1,5}:{(23,1),(28,1),(42,1)}
      34:{1,2,5}:{(24,1),(25,1),(26,1),(37,1),(39,1),(43,1),(61,1)}
      35:{3,5}:{(24,1),(27,1),(38,1),(40,1)}
      36:{2,3,6}:{(26,1),(27,1),(43,1),(44,1),(60,1),(62,1)}
      37:{1,2}:{(29,1),(45,1)}
      38:{3,4}:{(29,1),(35,1),(45,1),(49,1)}
      39:{1,2,4}:{(30,1),(31,1),(34,1),(46,1),(48,1),(49,1),(57,1)}
      40:{3}:{(30,1)}
      41:{2,3}:{(31,1),(32,1),(48,1)}
      42:{1,4}:{(32,1),(33,1),(47,1),(48,1)}
      43:{2,3,5}:{(34,1),(35,1),(36,1),(45,1),(46,1),(49,1),(50,1),(56,1),(58,1)}
      44:{4,6}:{(36,1),(49,1),(50,1)}
      45:{2,3}:{(37,1),(38,1),(51,1)}
      46:{2,3}:{(39,1),(40,1),(53,1)}
      47:{1,3}:{(40,1),(42,1)}
      48:{1,2}:{(41,1),(42,1)}
      49:{4}:{(43,1)}
      50:{5}:{(44,1)}
      51:{2,4}:{(45,1),(49,1),(56,1)}
      52:{1,2,3}:{(46,1),(47,1),(48,1),(57,1)}
      53:{3,4}:{(46,1),(49,1),(57,1),(58,1)}
      54:{4,5}:{(49,1),(50,1),(56,1),(58,1),(59,1)}
      55:{5,6}:{(50,1),(59,1)}
      56:{2,5}:{(51,1),(54,1),(60,1)}
      57:{1,4}:{(52,1),(53,1),(61,1)}
      58:{3,5}:{(53,1),(54,1),(61,1),(62,1)}
      59:{4,6}:{(54,1),(55,1),(60,1),(62,1)}
      60:{2,6}:{(56,1),(59,1)}
      61:{1,5}:{(57,1),(58,1),(63,1)}
      62:{3,6}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

223 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

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

225 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(13,1),(25,1),(30,1),(48,1),(49,1),(56,1),(57,1)}
       1:{2,3,6}:{(0,1),(5,1),(6,1),(16,1),(43,1),(44,1),(58,1)}
       2:{1,2,5}:{(0,1),(6,1),(7,1),(17,1),(36,1),(45,1),(59,1)}
       3:{1,2,5,6}:{(2,1),(8,1),(9,1),(28,1),(47,1),(48,1),(49,1)}
       4:{1,2,3,6}:{(1,1),(10,1),(11,1),(27,1),(48,1),(49,1),(50,1)}
       5:{3,4,6}:{(1,1),(10,1),(12,1),(13,1),(31,1),(32,1),(50,1),(57,1)}
       6:{2,3,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(33,1),(34,1)}
       7:{1,4,5}:{(2,1),(9,1),(13,1),(14,1),(24,1),(35,1),(47,1),(56,1)}
       8:{2,3,5,6}:{(3,1),(6,1),(15,1),(16,1),(19,1),(36,1),(37,1),(38,1),(44,1),(54,1),(59,1)}
       9:{1,4,6}:{(3,1),(7,1),(15,1),(16,1)}
      10:{1,4,6}:{(4,1),(5,1),(17,1),(18,1)}
      11:{1,2,3,5}:{(4,1),(6,1),(17,1),(18,1),(23,1),(41,1),(42,1),(43,1),(45,1),(52,1),(58,1)}
      12:{3,5}:{(5,1),(17,1),(20,1),(59,1)}
      13:{4}:{(6,1)}
      14:{3,5}:{(7,1),(16,1),(22,1),(58,1)}
      15:{4,6}:{(8,1),(13,1),(24,1)}
      16:{3,6}:{(9,1),(14,1)}
      17:{1,5}:{(10,1),(12,1)}
      18:{1,4}:{(11,1),(13,1),(31,1)}
      19:{3,5,6}:{(12,1),(28,1),(32,1),(50,1)}
      20:{4,5}:{(12,1),(13,1),(32,1),(33,1)}
      21:{2,4}:{(13,1),(33,1),(34,1)}
      22:{3,4}:{(13,1),(14,1),(34,1),(35,1)}
      23:{1,3,5}:{(14,1),(27,1),(35,1),(47,1)}
      24:{4,5}:{(15,1),(36,1),(37,1),(53,1),(59,1)}
      25:{2,4,6}:{(15,1),(21,1),(36,1),(38,1),(44,1),(53,1)}
      26:{3,4,6}:{(15,1),(16,1),(22,1),(37,1),(38,1),(39,1),(53,1),(58,1)}
      27:{1,3,6}:{(16,1),(23,1),(39,1),(58,1)}
      28:{1,5,6}:{(17,1),(19,1),(40,1),(59,1)}
      29:{1,4,5}:{(17,1),(18,1),(20,1),(40,1),(41,1),(42,1),(55,1),(59,1)}
      30:{1,2,4}:{(18,1),(21,1),(41,1),(43,1),(45,1),(55,1)}
      31:{3,4}:{(18,1),(42,1),(43,1),(55,1),(58,1)}
      32:{4,6}:{(19,1),(20,1),(44,1)}
      33:{2,5}:{(20,1),(21,1),(44,1)}
      34:{2,3}:{(21,1),(22,1),(45,1)}
      35:{1,4}:{(22,1),(23,1),(45,1)}
      36:{2,5}:{(24,1),(25,1)}
      37:{3,5}:{(24,1),(26,1),(47,1)}
      38:{2,3,6}:{(25,1),(26,1),(34,1),(46,1),(48,1)}
      39:{1,4,6}:{(26,1),(27,1),(35,1),(47,1),(48,1),(56,1)}
      40:{1,4,6}:{(28,1),(29,1),(32,1),(49,1),(50,1),(57,1)}
      41:{1,2,5}:{(29,1),(30,1),(33,1),(49,1),(51,1)}
      42:{3,5}:{(29,1),(31,1),(50,1)}
      43:{2,3}:{(30,1),(31,1)}
      44:{2,6}:{(32,1),(33,1)}
      45:{1,2}:{(34,1),(35,1)}
      46:{2,3,5}:{(36,1),(37,1),(38,1),(52,1),(53,1),(58,1)}
      47:{1,5}:{(37,1),(39,1)}
      48:{1,2,6}:{(38,1),(39,1),(45,1),(52,1)}
      49:{1,2,6}:{(40,1),(41,1),(44,1),(54,1)}
      50:{3,6}:{(40,1),(42,1)}
      51:{2,3,5}:{(41,1),(42,1),(43,1),(54,1),(55,1),(59,1)}
      52:{1,2,5}:{(46,1),(47,1),(48,1),(56,1)}
      53:{4}:{(46,1)}
      54:{2,3,6}:{(49,1),(50,1),(51,1),(57,1)}
      55:{4}:{(51,1)}
      56:{1,4}:{(52,1),(53,1),(58,1)}
      57:{4,6}:{(54,1),(55,1),(59,1)}
      58:{3}:{(56,1)}
      59:{5}:{(57,1)}

226 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(36,1),(41,1),(59,1),(64,1),(65,1)}
       1:{4,5,6}:{(6,1),(7,1),(28,1),(68,1)}
       2:{3,4,6}:{(0,1),(7,1),(8,1),(9,1),(28,1),(53,1)}
       3:{2,3,5}:{(0,1),(8,1),(10,1),(11,1),(30,1),(31,1)}
       4:{1,4,5}:{(0,1),(5,1),(9,1),(10,1),(25,1),(48,1)}
       5:{1,3,5}:{(4,1),(13,1),(14,1),(64,1)}
       6:{2,5,6}:{(1,1),(16,1),(74,1)}
       7:{3,5,6}:{(1,1),(2,1),(18,1),(59,1)}
       8:{2,3,6}:{(2,1),(3,1),(19,1),(20,1)}
       9:{1,4,6}:{(2,1),(4,1),(14,1),(18,1),(19,1)}
      10:{1,2,5}:{(3,1),(4,1),(19,1),(21,1)}
      11:{2,4}:{(3,1),(65,1)}
      12:{2,4,5}:{(16,1),(22,1),(41,1)}
      13:{1,3,4}:{(5,1),(23,1),(25,1),(71,1)}
      14:{1,3,6}:{(5,1),(9,1),(53,1)}
      15:{1,2,3,5}:{(5,1),(10,1),(23,1),(24,1),(25,1),(31,1),(46,1),(48,1),(49,1),(55,1)}
      16:{2,4,6}:{(6,1),(12,1),(26,1),(28,1),(72,1)}
      17:{2,3,5,6}:{(6,1),(7,1),(8,1),(26,1),(27,1),(28,1),(30,1),(52,1),(53,1),(55,1)}
      18:{1,5,6}:{(7,1),(9,1),(48,1)}
      19:{1,2,6}:{(8,1),(9,1),(10,1)}
      20:{2,4,6}:{(8,1),(11,1),(28,1),(30,1)}
      21:{1,2,4}:{(10,1),(11,1),(25,1),(31,1)}
      22:{2,3,5}:{(12,1),(26,1),(32,1),(33,1),(52,1)}
      23:{1,2,3}:{(13,1),(34,1),(77,1)}
      24:{1,2,3,6}:{(14,1),(15,1),(19,1),(35,1),(42,1),(58,1),(61,1)}
      25:{1,4}:{(15,1),(36,1),(65,1)}
      26:{2,3,6}:{(16,1),(22,1),(38,1),(39,1),(77,1)}
      27:{1,2,5,6}:{(17,1),(18,1),(19,1),(38,1),(40,1),(43,1),(63,1)}
      28:{4,6}:{(17,1),(41,1),(65,1)}
      29:{1,2,4,6}:{(19,1),(20,1),(21,1),(35,1),(40,1),(42,1),(43,1),(65,1)}
      30:{2,5}:{(20,1),(41,1)}
      31:{2,3}:{(21,1),(36,1)}
      32:{1,2,5}:{(22,1),(38,1),(44,1),(63,1)}
      33:{3,4}:{(22,1),(44,1)}
      34:{1,2,4}:{(23,1),(25,1),(45,1),(46,1),(72,1)}
      35:{1,4,6}:{(24,1),(25,1),(47,1),(48,1)}
      36:{3,4}:{(25,1),(31,1),(49,1)}
      37:{1,4,5}:{(25,1),(46,1),(48,1),(49,1),(50,1),(66,1),(68,1)}
      38:{1,2,6}:{(26,1),(32,1),(51,1),(80,1)}
      39:{3,4,6}:{(26,1),(28,1),(33,1),(51,1),(52,1),(53,1),(71,1)}
      40:{1,4,6}:{(27,1),(28,1),(53,1),(54,1)}
      41:{4,5}:{(28,1),(30,1),(52,1)}
      42:{2,3,6}:{(29,1),(31,1),(47,1),(53,1),(55,1),(79,1)}
      43:{1,2,5}:{(29,1),(30,1),(48,1),(54,1),(55,1),(80,1)}
      44:{1,4}:{(32,1),(33,1),(56,1)}
      45:{2,3,4}:{(34,1),(36,1),(57,1)}
      46:{1,2,5}:{(34,1),(37,1),(57,1),(58,1),(74,1)}
      47:{3,4,6}:{(35,1),(36,1),(42,1),(59,1),(61,1),(65,1),(75,1)}
      48:{1,5}:{(35,1),(59,1)}
      49:{3,5}:{(36,1),(37,1),(61,1)}
      50:{1,4,6}:{(37,1),(58,1),(60,1),(61,1),(73,1),(75,1)}
      51:{1,4,6}:{(38,1),(39,1),(44,1),(62,1),(63,1),(76,1)}
      52:{3,5}:{(39,1),(41,1),(63,1)}
      53:{3,6}:{(40,1),(64,1)}
      54:{1,4,5}:{(40,1),(41,1),(43,1),(63,1),(64,1),(65,1),(76,1)}
      55:{2,3,5}:{(42,1),(43,1),(59,1),(64,1),(65,1),(74,1),(77,1)}
      56:{1,3}:{(44,1)}
      57:{2,3,5}:{(45,1),(46,1),(49,1),(66,1),(67,1)}
      58:{1,2,6}:{(46,1),(50,1),(67,1),(79,1)}
      59:{3,5}:{(47,1),(48,1),(68,1)}
      60:{1,5,6}:{(48,1),(50,1),(69,1),(78,1)}
      61:{3,6}:{(49,1),(50,1)}
      62:{1,3,6}:{(51,1),(53,1),(56,1),(70,1)}
      63:{1,5}:{(51,1),(52,1)}
      64:{3,5}:{(53,1),(54,1),(71,1)}
      65:{4}:{(55,1)}
      66:{4,5}:{(57,1),(73,1)}
      67:{2,3,6}:{(57,1),(58,1),(61,1),(73,1)}
      68:{4,5}:{(59,1),(65,1),(74,1),(75,1)}
      69:{3,5,6}:{(59,1),(60,1),(61,1),(75,1)}
      70:{1,3,5}:{(62,1),(63,1),(64,1),(76,1)}
      71:{3,4}:{(64,1),(65,1),(76,1),(77,1)}
      72:{2,4}:{(65,1),(74,1),(77,1)}
      73:{4,6}:{(66,1),(67,1),(78,1)}
      74:{2,5}:{(68,1),(72,1),(79,1)}
      75:{4,6}:{(68,1),(69,1),(79,1)}
      76:{1,4}:{(70,1),(71,1),(80,1)}
      77:{2,3}:{(71,1),(72,1),(80,1)}
      78:{5,6}:{(73,1)}
      79:{2,6}:{(74,1),(75,1)}
      80:{1,2}:{(76,1),(77,1)}

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

228 :  0:{1,2,3}:{(4,1),(5,1),(55,1),(62,1)}
       1:{1,2,4}:{(4,1),(5,1),(6,1),(22,1),(44,1),(53,1),(62,1)}
       2:{1,4,5}:{(6,1),(7,1),(8,1),(9,1),(22,1),(28,1),(40,1),(42,1),(44,1)}
       3:{1,3,5}:{(7,1),(9,1),(10,1),(28,1)}
       4:{1,4}:{(0,1),(11,1),(12,1)}
       5:{2,3}:{(1,1),(11,1),(50,1)}
       6:{1,2,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(18,1),(49,1)}
       7:{3,5}:{(2,1),(15,1),(16,1),(50,1)}
       8:{1,4,6}:{(2,1),(14,1),(16,1),(17,1),(32,1),(35,1)}
       9:{1,4}:{(3,1),(15,1),(18,1)}
      10:{1,3,6}:{(3,1),(16,1),(19,1),(50,1)}
      11:{3,4}:{(4,1),(5,1),(20,1),(22,1)}
      12:{1,5}:{(4,1),(20,1),(21,1)}
      13:{2,3,5}:{(5,1),(6,1),(7,1),(20,1),(22,1),(23,1),(24,1),(37,1),(40,1)}
      14:{1,2,6}:{(6,1),(8,1),(21,1),(23,1),(43,1)}
      15:{3,4}:{(7,1),(9,1),(22,1),(24,1)}
      16:{3,6}:{(7,1),(8,1)}
      17:{1,5,6}:{(8,1),(26,1),(28,1),(40,1)}
      18:{1,2}:{(9,1),(24,1)}
      19:{1,4,6}:{(9,1),(10,1),(25,1),(27,1),(28,1),(44,1)}
      20:{3,5}:{(11,1),(12,1),(29,1),(30,1)}
      21:{1,6}:{(12,1),(30,1)}
      22:{4}:{(13,1)}
      23:{2,3,6}:{(13,1),(14,1),(16,1),(30,1),(32,1),(45,1)}
      24:{2,3}:{(15,1),(18,1),(31,1)}
      25:{3,4,6}:{(15,1),(16,1),(19,1),(32,1),(33,1),(34,1),(35,1),(48,1),(50,1)}
      26:{3,5,6}:{(16,1),(17,1),(34,1),(35,1)}
      27:{1,2,6}:{(18,1),(19,1),(33,1),(36,1),(63,1)}
      28:{1,5}:{(19,1),(34,1)}
      29:{4,5}:{(20,1),(22,1),(37,1),(38,1),(40,1)}
      30:{3,6}:{(20,1),(21,1),(38,1)}
      31:{2,4}:{(22,1),(24,1),(37,1)}
      32:{4,6}:{(22,1),(23,1),(40,1)}
      33:{2,3,6}:{(24,1),(25,1),(27,1),(39,1),(41,1),(43,1),(60,1)}
      34:{3,5}:{(25,1),(28,1),(40,1),(42,1)}
      35:{4,6}:{(26,1),(42,1),(43,1)}
      36:{1,2,5}:{(27,1),(28,1),(41,1),(44,1),(61,1),(62,1)}
      37:{2,5}:{(29,1),(31,1),(45,1)}
      38:{4,6}:{(29,1),(30,1),(45,1),(46,1)}
      39:{2,4,6}:{(31,1),(32,1),(33,1),(45,1),(47,1),(48,1),(56,1)}
      40:{5}:{(32,1)}
      41:{2,3,5}:{(33,1),(34,1),(36,1),(47,1),(48,1),(49,1),(50,1),(57,1),(58,1)}
      42:{4,5}:{(34,1),(35,1),(48,1),(49,1)}
      43:{2,6}:{(35,1),(49,1)}
      44:{1,4}:{(36,1),(48,1),(50,1)}
      45:{2,6}:{(37,1),(38,1)}
      46:{5,6}:{(38,1),(40,1)}
      47:{2,5}:{(39,1),(40,1),(52,1)}
      48:{4}:{(41,1)}
      49:{2,5}:{(42,1),(43,1),(53,1)}
      50:{3}:{(44,1)}
      51:{2,5,6}:{(45,1),(46,1),(47,1),(56,1)}
      52:{4,5}:{(47,1),(48,1),(56,1),(57,1)}
      53:{2,4}:{(48,1),(49,1),(58,1)}
      54:{3,4}:{(48,1),(50,1),(57,1),(58,1),(59,1)}
      55:{1,3}:{(50,1),(59,1)}
      56:{4,6}:{(51,1),(52,1),(60,1)}
      57:{3,5}:{(52,1),(54,1),(60,1),(61,1)}
      58:{2,3}:{(53,1),(54,1),(62,1)}
      59:{1,4}:{(54,1),(55,1),(61,1),(62,1)}
      60:{3,6}:{(56,1),(57,1),(63,1)}
      61:{1,5}:{(57,1),(59,1),(63,1)}
      62:{1,2}:{(58,1),(59,1)}
      63:{1,6}:{(60,1),(61,1)}

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

230 :  0:{2,4,6}:{(3,1),(4,1),(16,1),(20,1),(44,1),(51,1),(55,1)}
       1:{3,4,6}:{(3,1),(5,1),(6,1),(18,1),(20,1),(25,1),(38,1),(40,1),(51,1)}
       2:{1,3,6}:{(5,1),(7,1),(38,1),(40,1)}
       3:{2,3,6}:{(0,1),(1,1),(10,1),(11,1),(26,1),(28,1),(35,1)}
       4:{2,5}:{(0,1),(12,1),(56,1)}
       5:{1,4,6}:{(1,1),(2,1),(10,1),(13,1),(15,1),(29,1)}
       6:{3,5}:{(1,1),(13,1),(14,1),(56,1)}
       7:{1,3,5}:{(2,1),(13,1),(15,1),(34,1)}
       8:{2,5,6}:{(4,1),(16,1),(55,1),(60,1)}
       9:{3,5,6}:{(6,1),(17,1),(18,1),(38,1)}
      10:{1,2,6}:{(3,1),(5,1),(19,1),(24,1),(36,1)}
      11:{2,3,5}:{(3,1),(4,1),(6,1),(19,1),(20,1),(21,1),(23,1),(40,1),(41,1)}
      12:{4,5}:{(4,1),(16,1),(20,1),(21,1)}
      13:{1,5}:{(5,1),(6,1)}
      14:{4,5}:{(6,1),(18,1),(20,1),(23,1)}
      15:{1,4}:{(7,1),(24,1),(25,1)}
      16:{4,6}:{(8,1),(12,1),(26,1)}
      17:{1,5,6}:{(9,1),(13,1),(27,1),(56,1)}
      18:{4,6}:{(9,1),(14,1),(28,1)}
      19:{1,2,5}:{(10,1),(11,1),(13,1),(29,1),(32,1),(48,1)}
      20:{4}:{(11,1)}
      21:{3,5}:{(12,1),(26,1),(31,1),(32,1)}
      22:{1,4,5}:{(13,1),(14,1),(15,1),(27,1),(29,1),(33,1),(34,1),(49,1),(56,1)}
      23:{2,5}:{(14,1),(28,1),(30,1)}
      24:{1,2}:{(15,1),(35,1)}
      25:{3,4}:{(15,1),(34,1),(35,1),(49,1)}
      26:{3,6}:{(16,1),(21,1),(36,1)}
      27:{1,4,6}:{(17,1),(18,1),(22,1),(37,1),(38,1),(51,1)}
      28:{2,6}:{(18,1),(23,1)}
      29:{1,4}:{(19,1),(20,1),(40,1)}
      30:{2,4}:{(20,1),(23,1),(41,1)}
      31:{3,4}:{(20,1),(21,1),(40,1),(41,1),(42,1)}
      32:{1,5}:{(21,1),(36,1),(42,1)}
      33:{1,2,5}:{(22,1),(23,1),(24,1),(37,1),(39,1),(43,1),(61,1)}
      34:{3,5}:{(22,1),(25,1),(38,1),(40,1)}
      35:{2,3}:{(24,1),(25,1),(44,1)}
      36:{1,6}:{(26,1),(32,1)}
      37:{1,2,6}:{(27,1),(28,1),(33,1),(45,1),(63,1)}
      38:{3,6}:{(27,1),(34,1)}
      39:{1,2,4}:{(29,1),(30,1),(33,1),(46,1),(48,1),(49,1),(57,1)}
      40:{3}:{(29,1)}
      41:{2,3}:{(30,1),(31,1),(48,1)}
      42:{1,4}:{(31,1),(32,1),(47,1),(48,1)}
      43:{2,3,5}:{(33,1),(34,1),(35,1),(45,1),(46,1),(49,1),(50,1),(56,1),(58,1)}
      44:{2,4}:{(35,1),(49,1),(50,1)}
      45:{2,3,6}:{(37,1),(38,1),(43,1),(51,1),(55,1),(62,1)}
      46:{2,3}:{(39,1),(40,1),(53,1)}
      47:{1,3}:{(40,1),(42,1)}
      48:{1,2}:{(41,1),(42,1)}
      49:{4}:{(43,1)}
      50:{2,5}:{(44,1),(54,1),(55,1)}
      51:{4,6}:{(45,1),(49,1),(56,1)}
      52:{1,2,3}:{(46,1),(47,1),(48,1),(57,1)}
      53:{3,4}:{(46,1),(49,1),(57,1),(58,1)}
      54:{4,5}:{(49,1),(50,1),(56,1),(58,1),(59,1)}
      55:{2,6}:{(50,1),(59,1)}
      56:{5}:{(51,1)}
      57:{1,4}:{(52,1),(53,1),(61,1)}
      58:{3,5}:{(53,1),(54,1),(61,1),(62,1)}
      59:{4,6}:{(54,1),(55,1),(60,1),(62,1)}
      60:{5,6}:{(56,1),(59,1)}
      61:{1,5}:{(57,1),(58,1),(63,1)}
      62:{3,6}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

231 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

232 :  0:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1),(11,1),(12,1),(22,1),(35,1),(48,1),(56,1),(59,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(14,1),(17,1),(20,1),(43,1),(53,1)}
       2:{1,4}:{(0,1),(5,1),(30,1)}
       3:{1,2,4}:{(2,1),(8,1),(9,1),(24,1),(38,1),(48,1)}
       4:{1,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       5:{3,4}:{(2,1),(8,1),(12,1),(24,1),(59,1)}
       6:{1,4,5}:{(2,1),(9,1),(11,1),(12,1),(13,1),(24,1),(26,1),(40,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(14,1),(15,1),(17,1),(29,1),(30,1),(32,1),(46,1),(53,1),(58,1)}
       8:{2,3}:{(3,1),(5,1)}
       9:{1,2,5}:{(3,1),(6,1),(16,1),(17,1),(33,1)}
      10:{3,4,6}:{(4,1),(5,1),(14,1),(18,1),(20,1),(30,1),(32,1),(34,1)}
      11:{1,5}:{(4,1),(18,1)}
      12:{3,5}:{(5,1),(6,1),(20,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(32,1),(34,1)}
      14:{2,3,6}:{(7,1),(8,1),(10,1),(22,1),(37,1),(41,1),(59,1)}
      15:{1,2,5}:{(7,1),(11,1),(21,1),(22,1),(40,1),(48,1),(52,1)}
      16:{2,3,5}:{(8,1),(9,1),(12,1),(24,1),(25,1),(40,1)}
      17:{1,2,6}:{(9,1),(13,1),(25,1),(41,1)}
      18:{3,5}:{(10,1),(11,1),(26,1),(40,1)}
      19:{1,5,6}:{(11,1),(13,1),(27,1),(40,1)}
      20:{3,6}:{(12,1),(13,1)}
      21:{1,4,5}:{(15,1),(28,1),(29,1),(30,1),(42,1),(47,1),(54,1),(58,1)}
      22:{2,3,5}:{(14,1),(15,1),(18,1),(28,1),(30,1),(33,1),(44,1)}
      23:{1,2,5,6}:{(15,1),(17,1),(19,1),(29,1),(31,1),(53,1),(54,1)}
      24:{4}:{(16,1)}
      25:{2,3,6}:{(16,1),(17,1),(20,1),(32,1)}
      26:{4,5}:{(18,1),(30,1),(33,1),(34,1)}
      27:{3,5,6}:{(18,1),(19,1),(20,1),(34,1)}
      28:{3,5}:{(21,1),(36,1),(37,1),(59,1)}
      29:{1,4,6}:{(21,1),(23,1),(37,1),(39,1)}
      30:{4}:{(22,1)}
      31:{2,3,5,6}:{(22,1),(23,1),(25,1),(27,1),(37,1),(39,1),(40,1),(41,1),(50,1),(51,1),(52,1)}
      32:{4,6}:{(24,1),(25,1),(40,1)}
      33:{2,5}:{(26,1),(38,1),(41,1)}
      34:{4,6}:{(26,1),(27,1),(41,1)}
      35:{1,3,5}:{(28,1),(42,1),(43,1),(54,1)}
      36:{3,4}:{(28,1),(30,1),(42,1),(44,1)}
      37:{3,6}:{(28,1),(29,1)}
      38:{2,4}:{(30,1),(33,1),(44,1)}
      39:{4,6}:{(30,1),(31,1),(47,1)}
      40:{5}:{(32,1)}
      41:{2,6}:{(33,1),(34,1)}
      42:{1,4}:{(35,1),(36,1),(48,1)}
      43:{1,3,6}:{(35,1),(37,1),(49,1),(59,1)}
      44:{2,3}:{(36,1),(38,1),(48,1)}
      45:{3,4,6}:{(36,1),(37,1),(39,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      46:{2,4,6}:{(38,1),(39,1),(41,1),(50,1),(52,1),(57,1)}
      47:{4,5}:{(39,1),(40,1),(51,1),(52,1),(57,1)}
      48:{1,2}:{(42,1),(44,1)}
      49:{1,4,6}:{(42,1),(43,1),(45,1),(53,1),(54,1),(58,1)}
      50:{2,3,6}:{(44,1),(45,1),(46,1),(53,1),(55,1)}
      51:{3,5}:{(45,1),(47,1),(54,1)}
      52:{2,5}:{(46,1),(47,1)}
      53:{1,2,6}:{(48,1),(49,1),(50,1),(56,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{2,3,5}:{(50,1),(51,1),(52,1),(56,1),(57,1),(59,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(55,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

233 :  0:{1,2,3,6}:{(2,1),(3,1),(4,1),(33,1),(34,1),(38,1),(52,1)}
       1:{1,2,4,6}:{(3,1),(4,1),(5,1),(12,1),(18,1),(19,1),(33,1),(41,1),(51,1),(52,1),(58,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(8,1),(10,1),(21,1),(22,1),(23,1),(27,1),(46,1),(56,1),(59,1)}
       3:{1,4,6}:{(0,1),(6,1),(7,1),(8,1)}
       4:{2,3,6}:{(1,1),(7,1),(10,1),(21,1),(29,1),(45,1),(59,1)}
       5:{1,2,5}:{(1,1),(8,1),(9,1),(10,1),(46,1),(50,1),(55,1)}
       6:{1,4}:{(2,1),(13,1),(19,1)}
       7:{3,4,6}:{(3,1),(4,1),(13,1),(15,1),(19,1),(34,1),(36,1),(51,1)}
       8:{1,5}:{(3,1),(15,1)}
       9:{1,4,5}:{(5,1),(17,1),(18,1),(19,1),(37,1),(42,1),(53,1),(58,1)}
      10:{2,3,5}:{(4,1),(5,1),(15,1),(17,1),(19,1),(35,1),(39,1)}
      11:{1,2,5,6}:{(5,1),(16,1),(18,1),(20,1),(33,1),(52,1),(53,1)}
      12:{1,2,4}:{(6,1),(21,1),(22,1),(30,1),(43,1),(46,1)}
      13:{3,4}:{(6,1),(21,1),(23,1),(43,1),(59,1)}
      14:{1,4,5}:{(6,1),(8,1),(22,1),(23,1),(24,1),(25,1),(43,1),(55,1)}
      15:{3,5}:{(7,1),(8,1),(25,1),(55,1)}
      16:{1,5,6}:{(8,1),(24,1),(26,1),(55,1)}
      17:{3,5}:{(9,1),(28,1),(29,1),(59,1)}
      18:{1,4,6}:{(9,1),(11,1),(29,1),(31,1)}
      19:{4}:{(10,1)}
      20:{2,3,5,6}:{(10,1),(11,1),(26,1),(29,1),(31,1),(44,1),(45,1),(48,1),(49,1),(50,1),(55,1)}
      21:{2,3}:{(12,1),(13,1)}
      22:{1,2,5}:{(12,1),(14,1),(32,1),(33,1),(35,1)}
      23:{3,5}:{(13,1),(14,1),(34,1)}
      24:{1,4,6}:{(14,1),(16,1),(33,1),(34,1),(36,1),(51,1)}
      25:{4,5}:{(15,1),(19,1),(35,1),(36,1)}
      26:{3,5,6}:{(15,1),(16,1),(34,1),(36,1)}
      27:{1,3,5}:{(17,1),(37,1),(38,1),(53,1)}
      28:{3,4}:{(17,1),(19,1),(37,1),(39,1)}
      29:{3,6}:{(17,1),(18,1)}
      30:{2,4}:{(19,1),(35,1),(39,1)}
      31:{4,6}:{(19,1),(20,1),(42,1)}
      32:{2,3,5}:{(21,1),(22,1),(23,1),(43,1),(44,1),(55,1)}
      33:{1,2,6}:{(22,1),(24,1),(44,1),(45,1)}
      34:{3,6}:{(23,1),(24,1)}
      35:{2,5}:{(25,1),(30,1),(45,1)}
      36:{4,6}:{(25,1),(26,1),(45,1)}
      37:{1,4}:{(27,1),(28,1),(46,1)}
      38:{1,3,6}:{(27,1),(29,1),(47,1),(59,1)}
      39:{2,3}:{(28,1),(30,1),(46,1)}
      40:{3,4,6}:{(28,1),(29,1),(31,1),(47,1),(48,1),(49,1),(57,1),(59,1)}
      41:{2,4,6}:{(30,1),(31,1),(45,1),(48,1),(50,1),(57,1)}
      42:{4,5}:{(31,1),(49,1),(50,1),(55,1),(57,1)}
      43:{4}:{(32,1)}
      44:{2,3,6}:{(32,1),(33,1),(34,1),(51,1)}
      45:{2,6}:{(35,1),(36,1)}
      46:{1,2}:{(37,1),(39,1)}
      47:{1,4,6}:{(37,1),(38,1),(40,1),(52,1),(53,1),(58,1)}
      48:{2,3,6}:{(39,1),(40,1),(41,1),(52,1),(54,1)}
      49:{3,5}:{(40,1),(42,1),(53,1)}
      50:{2,5}:{(41,1),(42,1)}
      51:{4,6}:{(43,1),(44,1),(55,1)}
      52:{1,2,6}:{(46,1),(47,1),(48,1),(56,1)}
      53:{1,5}:{(47,1),(49,1)}
      54:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      55:{5}:{(51,1)}
      56:{1,2,5}:{(52,1),(53,1),(54,1),(58,1)}
      57:{4}:{(54,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

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

235 :  0:{1,2,4,6}:{(2,1),(3,1),(5,1),(12,1),(15,1),(18,1),(34,1),(42,1),(51,1),(54,1),(58,1)}
       1:{1,2,5,6}:{(3,1),(4,1),(5,1),(32,1),(41,1),(42,1),(51,1)}
       2:{2,3,6}:{(0,1),(7,1),(8,1),(11,1),(46,1),(47,1),(57,1)}
       3:{1,2,5}:{(0,1),(8,1),(9,1),(21,1),(28,1),(48,1),(59,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(23,1),(28,1),(29,1),(30,1),(47,1),(55,1),(59,1)}
       5:{1,4,6}:{(1,1),(9,1),(10,1),(11,1)}
       6:{1,2,3,6}:{(2,1),(12,1),(13,1),(20,1),(42,1),(51,1),(52,1)}
       7:{3,4,6}:{(2,1),(12,1),(14,1),(15,1),(35,1),(36,1),(52,1),(58,1)}
       8:{2,3,5}:{(2,1),(3,1),(14,1),(15,1),(16,1),(37,1),(38,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(16,1),(17,1),(39,1),(41,1),(54,1)}
      10:{4,6}:{(4,1),(15,1),(17,1)}
      11:{3,6}:{(5,1),(16,1)}
      12:{1,4,6}:{(6,1),(7,1),(21,1),(22,1)}
      13:{1,2,3,5}:{(6,1),(8,1),(21,1),(22,1),(27,1),(44,1),(45,1),(46,1),(48,1),(49,1),(57,1)}
      14:{3,5}:{(7,1),(21,1),(24,1),(59,1)}
      15:{4}:{(8,1)}
      16:{3,5}:{(9,1),(11,1),(26,1),(57,1)}
      17:{4,5}:{(10,1),(28,1),(29,1),(50,1),(59,1)}
      18:{2,4,6}:{(10,1),(25,1),(28,1),(30,1),(47,1),(50,1)}
      19:{3,4,6}:{(10,1),(11,1),(26,1),(29,1),(30,1),(31,1),(50,1),(57,1)}
      20:{1,3,6}:{(11,1),(27,1),(31,1),(57,1)}
      21:{1,5}:{(12,1),(14,1)}
      22:{1,4}:{(13,1),(15,1),(35,1)}
      23:{3,5,6}:{(14,1),(32,1),(36,1),(52,1)}
      24:{4,5}:{(14,1),(15,1),(36,1),(37,1)}
      25:{2,4}:{(15,1),(37,1),(38,1)}
      26:{3,4}:{(15,1),(16,1),(38,1),(39,1)}
      27:{1,3,5}:{(16,1),(20,1),(39,1),(41,1)}
      28:{2,5}:{(17,1),(18,1)}
      29:{3,5}:{(17,1),(19,1),(41,1)}
      30:{2,3,6}:{(18,1),(19,1),(38,1),(40,1),(42,1)}
      31:{1,4,6}:{(19,1),(20,1),(39,1),(41,1),(42,1),(54,1)}
      32:{1,5,6}:{(21,1),(23,1),(43,1),(59,1)}
      33:{1,4,5}:{(21,1),(22,1),(24,1),(43,1),(44,1),(45,1),(56,1),(59,1)}
      34:{1,2,4}:{(22,1),(25,1),(44,1),(46,1),(48,1),(56,1)}
      35:{3,4}:{(22,1),(45,1),(46,1),(56,1),(57,1)}
      36:{4,6}:{(23,1),(24,1),(47,1)}
      37:{2,5}:{(24,1),(25,1),(47,1)}
      38:{2,3}:{(25,1),(26,1),(48,1)}
      39:{1,4}:{(26,1),(27,1),(48,1)}
      40:{2,3,5}:{(28,1),(29,1),(30,1),(49,1),(50,1),(57,1)}
      41:{1,5}:{(29,1),(31,1)}
      42:{1,2,6}:{(30,1),(31,1),(48,1),(49,1)}
      43:{1,4,6}:{(32,1),(33,1),(36,1),(51,1),(52,1),(58,1)}
      44:{1,2,5}:{(33,1),(34,1),(37,1),(51,1),(53,1)}
      45:{3,5}:{(33,1),(35,1),(52,1)}
      46:{2,3}:{(34,1),(35,1)}
      47:{2,6}:{(36,1),(37,1)}
      48:{1,2}:{(38,1),(39,1)}
      49:{1,2,5}:{(40,1),(41,1),(42,1),(54,1)}
      50:{4}:{(40,1)}
      51:{1,2,6}:{(43,1),(44,1),(47,1),(55,1)}
      52:{3,6}:{(43,1),(45,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(55,1),(56,1),(59,1)}
      54:{1,4}:{(49,1),(50,1),(57,1)}
      55:{2,3,6}:{(51,1),(52,1),(53,1),(58,1)}
      56:{4}:{(53,1)}
      57:{3}:{(54,1)}
      58:{4,6}:{(55,1),(56,1),(59,1)}
      59:{5}:{(58,1)}

236 :  0:{2,4,5}:{(2,1),(3,1),(33,1)}
       1:{4,5,6}:{(4,1),(5,1),(21,1),(73,1)}
       2:{2,4,6}:{(0,1),(4,1),(6,1),(21,1),(75,1)}
       3:{2,3,5}:{(0,1),(6,1),(7,1),(8,1),(23,1)}
       4:{2,5,6}:{(1,1),(2,1),(77,1)}
       5:{3,5,6}:{(1,1),(10,1),(12,1),(66,1)}
       6:{2,3,6}:{(2,1),(3,1),(13,1),(14,1),(69,1)}
       7:{1,2,5}:{(3,1),(13,1),(15,1),(35,1)}
       8:{3,4}:{(3,1),(15,1)}
       9:{3,4,5}:{(10,1),(16,1),(17,1),(33,1),(51,1),(53,1),(66,1),(68,1)}
      10:{3,4,6}:{(5,1),(9,1),(18,1),(19,1),(21,1),(42,1)}
      11:{2,3,5,6}:{(4,1),(5,1),(6,1),(18,1),(20,1),(21,1),(23,1),(41,1),(42,1),(59,1)}
      12:{1,5,6}:{(5,1),(19,1),(58,1)}
      13:{1,2,6}:{(6,1),(7,1),(22,1),(61,1)}
      14:{3,4,6}:{(6,1),(8,1),(21,1),(22,1),(23,1),(42,1),(60,1)}
      15:{1,4}:{(7,1),(8,1),(24,1)}
      16:{2,3,5}:{(9,1),(18,1),(26,1),(27,1),(41,1),(46,1)}
      17:{1,4,5}:{(9,1),(19,1),(25,1),(26,1),(45,1),(58,1)}
      18:{2,3,6}:{(10,1),(16,1),(30,1),(31,1)}
      19:{1,4,6}:{(10,1),(12,1),(17,1),(29,1),(30,1)}
      20:{1,2,5,6}:{(11,1),(12,1),(13,1),(30,1),(32,1),(35,1),(50,1)}
      21:{4,6}:{(11,1),(33,1),(68,1)}
      22:{1,4,6}:{(13,1),(14,1),(15,1),(34,1),(35,1),(52,1)}
      23:{3,5}:{(14,1),(33,1),(35,1)}
      24:{1,3}:{(15,1)}
      25:{1,3,5}:{(17,1),(28,1),(29,1),(51,1)}
      26:{1,2,5}:{(16,1),(17,1),(30,1),(37,1)}
      27:{2,4}:{(16,1),(68,1)}
      28:{1,3,4}:{(25,1),(38,1),(45,1),(60,1)}
      29:{1,3,6}:{(19,1),(25,1),(42,1)}
      30:{1,2,6}:{(18,1),(19,1),(26,1)}
      31:{2,4,6}:{(18,1),(21,1),(27,1),(41,1)}
      32:{1,4,6}:{(20,1),(21,1),(42,1),(43,1)}
      33:{4,5}:{(21,1),(23,1),(41,1)}
      34:{1,3,6}:{(22,1),(24,1),(42,1),(44,1)}
      35:{1,5}:{(22,1),(23,1)}
      36:{1,2,3,5}:{(25,1),(26,1),(38,1),(39,1),(45,1),(46,1),(56,1),(58,1),(59,1),(62,1)}
      37:{1,2,4}:{(26,1),(27,1),(45,1),(46,1)}
      38:{1,2,3}:{(28,1),(47,1),(69,1)}
      39:{1,2,3,6}:{(29,1),(30,1),(36,1),(48,1),(49,1),(65,1),(70,1)}
      40:{1,2,4,6}:{(30,1),(31,1),(32,1),(37,1),(48,1),(49,1),(50,1),(68,1)}
      41:{2,5}:{(31,1),(33,1)}
      42:{3,6}:{(32,1),(51,1)}
      43:{1,4,5}:{(32,1),(33,1),(35,1),(50,1),(51,1),(52,1),(68,1)}
      44:{1,3,5}:{(34,1),(35,1),(51,1),(52,1)}
      45:{1,4}:{(36,1),(53,1),(68,1)}
      46:{2,3}:{(37,1),(53,1)}
      47:{1,2,4}:{(38,1),(45,1),(55,1),(56,1),(75,1)}
      48:{1,4,6}:{(39,1),(45,1),(57,1),(58,1)}
      49:{2,3,6}:{(40,1),(42,1),(46,1),(57,1),(59,1),(80,1)}
      50:{1,2,5}:{(40,1),(41,1),(43,1),(58,1),(59,1),(61,1)}
      51:{3,5}:{(42,1),(43,1),(60,1)}
      52:{1,4}:{(44,1),(60,1),(61,1)}
      53:{3,4}:{(45,1),(46,1),(62,1)}
      54:{1,4,5}:{(45,1),(56,1),(58,1),(62,1),(63,1),(71,1),(73,1)}
      55:{2,3,4}:{(47,1),(53,1),(64,1)}
      56:{1,2,5}:{(47,1),(54,1),(64,1),(65,1),(77,1)}
      57:{3,4,6}:{(48,1),(49,1),(53,1),(66,1),(68,1),(70,1),(78,1)}
      58:{1,5}:{(48,1),(66,1)}
      59:{2,3,5}:{(49,1),(50,1),(51,1),(66,1),(68,1),(69,1),(77,1)}
      60:{3,4}:{(51,1),(52,1),(68,1),(69,1)}
      61:{1,2}:{(52,1),(69,1)}
      62:{3,5}:{(53,1),(54,1),(70,1)}
      63:{1,4,6}:{(54,1),(65,1),(67,1),(70,1),(76,1),(78,1)}
      64:{2,3,5}:{(55,1),(56,1),(62,1),(71,1),(72,1)}
      65:{1,2,6}:{(56,1),(63,1),(72,1),(80,1)}
      66:{3,5}:{(57,1),(58,1),(73,1)}
      67:{1,5,6}:{(58,1),(63,1),(74,1),(79,1)}
      68:{4}:{(59,1)}
      69:{2,3}:{(60,1),(61,1),(75,1)}
      70:{3,6}:{(62,1),(63,1)}
      71:{4,5}:{(64,1),(76,1)}
      72:{2,3,6}:{(64,1),(65,1),(70,1),(76,1)}
      73:{4,5}:{(66,1),(68,1),(77,1),(78,1)}
      74:{3,5,6}:{(66,1),(67,1),(70,1),(78,1)}
      75:{2,4}:{(68,1),(69,1),(77,1)}
      76:{4,6}:{(71,1),(72,1),(79,1)}
      77:{2,5}:{(73,1),(75,1),(80,1)}
      78:{4,6}:{(73,1),(74,1),(80,1)}
      79:{5,6}:{(76,1)}
      80:{2,6}:{(77,1),(78,1)}

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

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

239 :  0:{4,5,6}:{(1,1),(2,1),(16,1),(73,1)}
       1:{2,5,6}:{(0,1),(5,1),(77,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1),(65,1)}
       3:{2,4,5}:{(5,1),(9,1),(29,1)}
       4:{3,4,5}:{(6,1),(10,1),(11,1),(29,1),(50,1),(51,1),(65,1),(67,1)}
       5:{2,4,6}:{(1,1),(3,1),(12,1),(16,1),(75,1)}
       6:{3,4,6}:{(2,1),(4,1),(13,1),(14,1),(16,1),(39,1)}
       7:{2,3,5,6}:{(1,1),(2,1),(12,1),(13,1),(15,1),(16,1),(35,1),(38,1),(39,1),(58,1)}
       8:{1,5,6}:{(2,1),(14,1),(57,1)}
       9:{2,3,5}:{(3,1),(12,1),(17,1),(18,1),(35,1)}
      10:{2,3,5}:{(4,1),(13,1),(20,1),(21,1),(38,1),(43,1)}
      11:{1,4,5}:{(4,1),(14,1),(19,1),(20,1),(42,1),(57,1)}
      12:{2,3,6}:{(5,1),(9,1),(23,1),(24,1),(68,1)}
      13:{2,3,6}:{(6,1),(10,1),(26,1),(27,1)}
      14:{1,4,6}:{(6,1),(8,1),(11,1),(25,1),(26,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(23,1),(26,1),(28,1),(46,1),(49,1)}
      16:{4,6}:{(7,1),(29,1),(67,1)}
      17:{1,2,5}:{(9,1),(23,1),(30,1),(46,1)}
      18:{3,4}:{(9,1),(30,1)}
      19:{1,3,5}:{(11,1),(22,1),(25,1),(50,1)}
      20:{1,2,5}:{(10,1),(11,1),(26,1),(32,1)}
      21:{2,4}:{(10,1),(67,1)}
      22:{1,3,4}:{(19,1),(33,1),(42,1),(59,1)}
      23:{1,2,6}:{(12,1),(17,1),(34,1),(72,1)}
      24:{3,4,6}:{(12,1),(16,1),(18,1),(34,1),(35,1),(39,1),(59,1)}
      25:{1,3,6}:{(14,1),(19,1),(39,1)}
      26:{1,2,6}:{(13,1),(14,1),(20,1)}
      27:{2,4,6}:{(13,1),(16,1),(21,1),(38,1)}
      28:{1,4,6}:{(15,1),(16,1),(39,1),(40,1)}
      29:{4,5}:{(16,1),(35,1),(38,1)}
      30:{1,4}:{(17,1),(18,1),(41,1)}
      31:{1,2,3,5}:{(19,1),(20,1),(33,1),(36,1),(42,1),(43,1),(54,1),(57,1),(58,1),(60,1)}
      32:{1,2,4}:{(20,1),(21,1),(42,1),(43,1)}
      33:{1,2,3}:{(22,1),(44,1),(68,1)}
      34:{1,4,6}:{(23,1),(24,1),(30,1),(45,1),(46,1),(64,1)}
      35:{3,5}:{(24,1),(29,1),(46,1)}
      36:{1,2,3,6}:{(25,1),(26,1),(31,1),(47,1),(48,1),(63,1),(69,1)}
      37:{1,2,4,6}:{(26,1),(27,1),(28,1),(32,1),(47,1),(48,1),(49,1),(67,1)}
      38:{2,5}:{(27,1),(29,1)}
      39:{3,6}:{(28,1),(50,1)}
      40:{1,4,5}:{(28,1),(29,1),(46,1),(49,1),(50,1),(64,1),(67,1)}
      41:{1,3}:{(30,1)}
      42:{1,4}:{(31,1),(51,1),(67,1)}
      43:{2,3}:{(32,1),(51,1)}
      44:{1,2,4}:{(33,1),(42,1),(53,1),(54,1),(75,1)}
      45:{1,3,6}:{(34,1),(39,1),(41,1),(55,1)}
      46:{1,5}:{(34,1),(35,1)}
      47:{1,4,6}:{(36,1),(42,1),(56,1),(57,1)}
      48:{2,3,6}:{(37,1),(39,1),(43,1),(56,1),(58,1),(80,1)}
      49:{1,2,5}:{(37,1),(38,1),(40,1),(57,1),(58,1),(72,1)}
      50:{3,5}:{(39,1),(40,1),(59,1)}
      51:{3,4}:{(42,1),(43,1),(60,1)}
      52:{1,4,5}:{(42,1),(54,1),(57,1),(60,1),(61,1),(70,1),(73,1)}
      53:{2,3,4}:{(44,1),(51,1),(62,1)}
      54:{1,2,5}:{(44,1),(52,1),(62,1),(63,1),(77,1)}
      55:{1,3,5}:{(45,1),(46,1),(50,1),(64,1)}
      56:{3,4,6}:{(47,1),(48,1),(51,1),(65,1),(67,1),(69,1),(78,1)}
      57:{1,5}:{(47,1),(65,1)}
      58:{2,3,5}:{(48,1),(49,1),(50,1),(65,1),(67,1),(68,1),(77,1)}
      59:{3,4}:{(50,1),(64,1),(67,1),(68,1)}
      60:{3,5}:{(51,1),(52,1),(69,1)}
      61:{1,4,6}:{(52,1),(63,1),(66,1),(69,1),(76,1),(78,1)}
      62:{2,3,5}:{(53,1),(54,1),(60,1),(70,1),(71,1)}
      63:{1,2,6}:{(54,1),(61,1),(71,1),(80,1)}
      64:{1,4}:{(55,1),(59,1),(72,1)}
      65:{3,5}:{(56,1),(57,1),(73,1)}
      66:{1,5,6}:{(57,1),(61,1),(74,1),(79,1)}
      67:{4}:{(58,1)}
      68:{2,3}:{(59,1),(72,1),(75,1)}
      69:{3,6}:{(60,1),(61,1)}
      70:{4,5}:{(62,1),(76,1)}
      71:{2,3,6}:{(62,1),(63,1),(69,1),(76,1)}
      72:{1,2}:{(64,1),(68,1)}
      73:{4,5}:{(65,1),(67,1),(77,1),(78,1)}
      74:{3,5,6}:{(65,1),(66,1),(69,1),(78,1)}
      75:{2,4}:{(67,1),(68,1),(77,1)}
      76:{4,6}:{(70,1),(71,1),(79,1)}
      77:{2,5}:{(73,1),(75,1),(80,1)}
      78:{4,6}:{(73,1),(74,1),(80,1)}
      79:{5,6}:{(76,1)}
      80:{2,6}:{(77,1),(78,1)}

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

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

242 :  0:{1,2,3,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(42,1),(54,1)}
       1:{1,2,4,6}:{(2,1),(4,1),(5,1),(15,1),(18,1),(19,1),(34,1),(38,1),(51,1),(54,1),(58,1)}
       2:{1,4,6}:{(0,1),(6,1),(7,1),(8,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(9,1),(24,1),(25,1),(26,1),(31,1),(50,1),(56,1),(59,1)}
       4:{2,3,6}:{(1,1),(6,1),(9,1),(26,1),(30,1),(43,1),(59,1)}
       5:{1,2,5}:{(1,1),(7,1),(9,1),(11,1),(46,1),(50,1),(55,1)}
       6:{3,4,6}:{(2,1),(4,1),(12,1),(16,1),(18,1),(32,1),(35,1),(51,1)}
       7:{1,5}:{(2,1),(12,1)}
       8:{1,4}:{(3,1),(16,1),(18,1)}
       9:{2,3,5}:{(4,1),(5,1),(12,1),(18,1),(20,1),(33,1),(40,1)}
      10:{1,2,5,6}:{(5,1),(13,1),(17,1),(19,1),(34,1),(53,1),(54,1)}
      11:{1,4,5}:{(5,1),(18,1),(19,1),(20,1),(37,1),(41,1),(53,1),(58,1)}
      12:{3,5}:{(6,1),(7,1),(22,1),(55,1)}
      13:{1,5,6}:{(7,1),(21,1),(23,1),(55,1)}
      14:{1,4,5}:{(7,1),(8,1),(22,1),(23,1),(24,1),(25,1),(45,1),(55,1)}
      15:{1,2,4}:{(8,1),(24,1),(26,1),(28,1),(45,1),(50,1)}
      16:{3,4}:{(8,1),(25,1),(26,1),(45,1),(59,1)}
      17:{2,3,5,6}:{(9,1),(10,1),(21,1),(27,1),(30,1),(43,1),(44,1),(46,1),(47,1),(48,1),(55,1)}
      18:{4}:{(9,1)}
      19:{1,4,6}:{(10,1),(11,1),(27,1),(30,1)}
      20:{3,5}:{(11,1),(29,1),(30,1),(59,1)}
      21:{3,5,6}:{(12,1),(13,1),(32,1),(35,1)}
      22:{4,5}:{(12,1),(18,1),(32,1),(33,1)}
      23:{1,4,6}:{(13,1),(14,1),(32,1),(34,1),(35,1),(51,1)}
      24:{1,2,5}:{(14,1),(15,1),(33,1),(34,1),(36,1)}
      25:{3,5}:{(14,1),(16,1),(35,1)}
      26:{2,3}:{(15,1),(16,1)}
      27:{4,6}:{(17,1),(18,1),(37,1)}
      28:{2,4}:{(18,1),(33,1),(40,1)}
      29:{3,4}:{(18,1),(20,1),(40,1),(41,1)}
      30:{3,6}:{(19,1),(20,1)}
      31:{1,3,5}:{(20,1),(41,1),(42,1),(53,1)}
      32:{4,6}:{(21,1),(22,1),(43,1)}
      33:{2,5}:{(22,1),(28,1),(43,1)}
      34:{1,2,6}:{(23,1),(24,1),(43,1),(44,1)}
      35:{3,6}:{(23,1),(25,1)}
      36:{2,3,5}:{(24,1),(25,1),(26,1),(44,1),(45,1),(55,1)}
      37:{4,5}:{(27,1),(46,1),(47,1),(55,1),(57,1)}
      38:{2,4,6}:{(27,1),(28,1),(43,1),(46,1),(48,1),(57,1)}
      39:{3,4,6}:{(27,1),(29,1),(30,1),(47,1),(48,1),(49,1),(57,1),(59,1)}
      40:{2,3}:{(28,1),(29,1),(50,1)}
      41:{1,4}:{(29,1),(31,1),(50,1)}
      42:{1,3,6}:{(30,1),(31,1),(49,1),(59,1)}
      43:{2,6}:{(32,1),(33,1)}
      44:{2,3,6}:{(34,1),(35,1),(36,1),(51,1)}
      45:{4}:{(36,1)}
      46:{2,5}:{(37,1),(38,1)}
      47:{3,5}:{(37,1),(39,1),(53,1)}
      48:{2,3,6}:{(38,1),(39,1),(40,1),(52,1),(54,1)}
      49:{1,4,6}:{(39,1),(41,1),(42,1),(53,1),(54,1),(58,1)}
      50:{1,2}:{(40,1),(41,1)}
      51:{4,6}:{(44,1),(45,1),(55,1)}
      52:{2,3,5}:{(46,1),(47,1),(48,1),(56,1),(57,1),(59,1)}
      53:{1,5}:{(47,1),(49,1)}
      54:{1,2,6}:{(48,1),(49,1),(50,1),(56,1)}
      55:{5}:{(51,1)}
      56:{1,2,5}:{(52,1),(53,1),(54,1),(58,1)}
      57:{4}:{(52,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

243 :  0:{1,2,3}:{(3,1),(4,1),(59,1),(62,1)}
       1:{1,2,4}:{(3,1),(4,1),(5,1),(20,1),(49,1),(52,1),(62,1)}
       2:{1,4,5}:{(5,1),(6,1),(7,1),(16,1),(20,1),(35,1),(39,1),(41,1),(49,1)}
       3:{1,4}:{(0,1),(9,1),(10,1)}
       4:{2,3}:{(1,1),(9,1),(54,1)}
       5:{1,2,5}:{(1,1),(2,1),(10,1),(11,1),(12,1),(25,1),(47,1)}
       6:{3,5}:{(2,1),(14,1),(15,1),(54,1)}
       7:{1,4,6}:{(2,1),(12,1),(13,1),(15,1),(30,1),(31,1)}
       8:{1,3,5}:{(6,1),(16,1),(17,1),(35,1)}
       9:{3,4}:{(3,1),(4,1),(18,1),(20,1)}
      10:{1,5}:{(3,1),(18,1),(19,1)}
      11:{2,3,5}:{(4,1),(5,1),(6,1),(18,1),(20,1),(21,1),(23,1),(36,1),(39,1)}
      12:{1,2,6}:{(5,1),(7,1),(19,1),(21,1),(40,1)}
      13:{1,5,6}:{(7,1),(22,1),(35,1),(39,1)}
      14:{3,4}:{(6,1),(16,1),(20,1),(23,1)}
      15:{3,6}:{(6,1),(7,1)}
      16:{1,4}:{(8,1),(14,1),(25,1)}
      17:{1,3,6}:{(8,1),(15,1),(26,1),(54,1)}
      18:{3,5}:{(9,1),(10,1),(27,1),(28,1)}
      19:{1,6}:{(10,1),(28,1)}
      20:{4}:{(11,1)}
      21:{2,3,6}:{(11,1),(12,1),(15,1),(28,1),(30,1),(44,1)}
      22:{3,5,6}:{(13,1),(15,1),(31,1),(33,1)}
      23:{2,3}:{(14,1),(25,1),(29,1)}
      24:{3,4,6}:{(14,1),(15,1),(26,1),(30,1),(31,1),(32,1),(33,1),(48,1),(54,1)}
      25:{1,2}:{(16,1),(23,1)}
      26:{1,4,6}:{(16,1),(17,1),(24,1),(34,1),(35,1),(49,1)}
      27:{4,5}:{(18,1),(20,1),(36,1),(37,1),(39,1)}
      28:{3,6}:{(18,1),(19,1),(37,1)}
      29:{2,4}:{(20,1),(23,1),(36,1)}
      30:{4,6}:{(20,1),(21,1),(39,1)}
      31:{4,6}:{(22,1),(40,1),(41,1)}
      32:{2,3,6}:{(23,1),(24,1),(34,1),(38,1),(40,1),(42,1),(60,1)}
      33:{3,5}:{(24,1),(35,1),(39,1),(41,1)}
      34:{1,2,6}:{(25,1),(26,1),(32,1),(43,1),(63,1)}
      35:{1,5}:{(26,1),(33,1)}
      36:{2,5}:{(27,1),(29,1),(44,1)}
      37:{4,6}:{(27,1),(28,1),(44,1),(45,1)}
      38:{2,4,6}:{(29,1),(30,1),(32,1),(44,1),(46,1),(48,1),(55,1)}
      39:{5}:{(30,1)}
      40:{2,6}:{(31,1),(47,1)}
      41:{4,5}:{(31,1),(33,1),(47,1),(48,1)}
      42:{2,3,5}:{(32,1),(33,1),(43,1),(46,1),(47,1),(48,1),(54,1),(56,1),(57,1)}
      43:{1,2,5}:{(34,1),(35,1),(42,1),(49,1),(61,1),(62,1)}
      44:{2,6}:{(36,1),(37,1)}
      45:{5,6}:{(37,1),(39,1)}
      46:{2,5}:{(38,1),(39,1),(51,1)}
      47:{2,5}:{(40,1),(41,1),(52,1)}
      48:{4}:{(42,1)}
      49:{1,4}:{(43,1),(48,1),(54,1)}
      50:{2,5,6}:{(44,1),(45,1),(46,1),(55,1)}
      51:{4,5}:{(46,1),(48,1),(55,1),(56,1)}
      52:{2,4}:{(47,1),(48,1),(57,1)}
      53:{3,4}:{(48,1),(54,1),(56,1),(57,1),(58,1)}
      54:{3}:{(49,1)}
      55:{4,6}:{(50,1),(51,1),(60,1)}
      56:{3,5}:{(51,1),(53,1),(60,1),(61,1)}
      57:{2,3}:{(52,1),(53,1),(62,1)}
      58:{1,4}:{(53,1),(59,1),(61,1),(62,1)}
      59:{1,3}:{(54,1),(58,1)}
      60:{3,6}:{(55,1),(56,1),(63,1)}
      61:{1,5}:{(56,1),(58,1),(63,1)}
      62:{1,2}:{(57,1),(58,1)}
      63:{1,6}:{(60,1),(61,1)}

244 :  0:{1,5,6}:{(3,1),(4,1),(38,1),(42,1)}
       1:{1,4,5}:{(4,1),(5,1),(6,1),(16,1),(20,1),(23,1),(38,1),(42,1),(53,1)}
       2:{1,2,4}:{(5,1),(7,1),(23,1),(24,1),(36,1),(51,1),(53,1)}
       3:{3,5,6}:{(0,1),(8,1),(11,1),(27,1)}
       4:{1,4,6}:{(0,1),(1,1),(8,1),(10,1),(11,1),(32,1)}
       5:{1,2,5}:{(1,1),(2,1),(10,1),(12,1),(26,1),(30,1),(34,1)}
       6:{3,5}:{(1,1),(9,1),(11,1),(58,1)}
       7:{2,3}:{(2,1),(15,1),(58,1)}
       8:{4,6}:{(3,1),(16,1),(17,1)}
       9:{3,4}:{(6,1),(19,1),(20,1),(23,1)}
      10:{1,2,6}:{(4,1),(5,1),(17,1),(21,1),(44,1)}
      11:{3,6}:{(4,1),(6,1)}
      12:{2,3,5}:{(5,1),(6,1),(7,1),(19,1),(21,1),(23,1),(25,1),(41,1),(42,1)}
      13:{1,3,5}:{(6,1),(20,1),(22,1),(38,1)}
      14:{1,2,3}:{(7,1),(24,1),(51,1),(60,1)}
      15:{3,4}:{(7,1),(23,1),(24,1),(25,1)}
      16:{4,5}:{(8,1),(26,1),(27,1),(47,1)}
      17:{2,6}:{(8,1),(26,1)}
      18:{3,4,6}:{(8,1),(9,1),(11,1),(27,1),(28,1),(29,1),(32,1),(47,1),(58,1)}
      19:{2,3}:{(9,1),(30,1),(31,1)}
      20:{1,4}:{(9,1),(13,1),(30,1)}
      21:{2,3,6}:{(10,1),(11,1),(12,1),(32,1),(35,1),(49,1)}
      22:{1,3,6}:{(11,1),(13,1),(29,1),(58,1)}
      23:{4}:{(12,1)}
      24:{1,4}:{(14,1),(15,1),(34,1)}
      25:{3,5}:{(15,1),(33,1),(34,1),(35,1)}
      26:{2,5}:{(16,1),(17,1),(36,1)}
      27:{3,5}:{(16,1),(18,1),(38,1),(42,1)}
      28:{2,3,6}:{(17,1),(18,1),(19,1),(37,1),(39,1),(40,1),(62,1)}
      29:{1,4,6}:{(18,1),(20,1),(22,1),(38,1),(39,1),(53,1)}
      30:{1,2}:{(19,1),(20,1)}
      31:{2,4}:{(19,1),(23,1),(41,1)}
      32:{4,6}:{(21,1),(23,1),(42,1)}
      33:{4,5}:{(23,1),(25,1),(41,1),(42,1),(43,1)}
      34:{1,5}:{(24,1),(25,1),(44,1)}
      35:{3,6}:{(25,1),(43,1),(44,1)}
      36:{2,4}:{(26,1),(45,1),(47,1)}
      37:{2,3,5}:{(26,1),(27,1),(28,1),(45,1),(46,1),(47,1),(48,1),(57,1),(58,1)}
      38:{1,5}:{(27,1),(29,1)}
      39:{1,2,6}:{(28,1),(29,1),(30,1),(46,1),(63,1)}
      40:{2,4,6}:{(28,1),(31,1),(32,1),(47,1),(48,1),(49,1),(59,1)}
      41:{2,5}:{(31,1),(33,1),(49,1)}
      42:{5}:{(32,1)}
      43:{4,6}:{(33,1),(35,1),(49,1),(50,1)}
      44:{1,6}:{(34,1),(35,1)}
      45:{2,3}:{(36,1),(51,1),(52,1)}
      46:{1,2,5}:{(37,1),(38,1),(39,1),(51,1),(53,1),(61,1)}
      47:{4}:{(37,1)}
      48:{2,5}:{(40,1),(42,1),(54,1)}
      49:{2,6}:{(41,1),(43,1)}
      50:{5,6}:{(42,1),(43,1)}
      51:{1,2}:{(45,1),(56,1)}
      52:{3,4}:{(45,1),(47,1),(56,1),(57,1),(58,1)}
      53:{1,4}:{(46,1),(47,1),(58,1)}
      54:{4,5}:{(47,1),(48,1),(57,1),(59,1)}
      55:{2,5,6}:{(48,1),(49,1),(50,1),(59,1)}
      56:{1,4}:{(51,1),(52,1),(60,1),(61,1)}
      57:{3,5}:{(52,1),(54,1),(61,1),(62,1)}
      58:{3}:{(53,1)}
      59:{4,6}:{(54,1),(55,1),(62,1)}
      60:{1,3}:{(56,1),(58,1)}
      61:{1,5}:{(56,1),(57,1),(63,1)}
      62:{3,6}:{(57,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

245 :  0:{1,2,3,4}:{(1,1),(13,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1),(7,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1)}
       3:{1,2,3,6}:{(1,1),(6,1),(14,1)}
       4:{1,2,4,5}:{(2,1),(7,1),(8,1),(18,1),(32,1),(34,1)}
       5:{3,4,5}:{(2,1),(7,1),(10,1),(34,1)}
       6:{1,4,6}:{(2,1),(3,1),(10,1),(11,1)}
       7:{2,3,5}:{(4,1),(5,1),(13,1),(14,1)}
       8:{1,2,4,6}:{(4,1),(6,1),(14,1),(15,1),(28,1)}
       9:{1,3,4,5}:{(5,1),(12,1),(16,1),(40,1)}
      10:{3,4,6}:{(5,1),(6,1),(14,1),(17,1),(28,1)}
      11:{1,5,6}:{(6,1),(17,1)}
      12:{1,2,3,5}:{(7,1),(9,1),(18,1),(19,1),(32,1)}
      13:{2,3,4}:{(7,1),(18,1)}
      14:{2,3,6}:{(7,1),(8,1),(10,1)}
      15:{1,2,5,6}:{(8,1),(11,1),(21,1),(22,1),(32,1),(54,1)}
      16:{1,3,4,6}:{(9,1),(10,1),(19,1),(23,1),(33,1),(74,1)}
      17:{3,5,6}:{(10,1),(11,1),(24,1)}
      18:{1,2,4}:{(12,1),(13,1)}
      19:{1,2,3,6}:{(12,1),(14,1),(16,1),(25,1),(73,1)}
      20:{2,3,4,6}:{(13,1),(14,1),(25,1),(27,1),(28,1),(42,1),(45,1),(61,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(17,1),(27,1),(28,1),(29,1),(31,1),(45,1)}
      22:{1,4,5,6}:{(15,1),(28,1),(29,1),(40,1),(46,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(30,1),(78,1)}
      24:{4,5,6}:{(17,1),(28,1),(31,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(20,1),(32,1),(33,1),(54,1),(67,1)}
      26:{1,2,3,5,6}:{(19,1),(21,1),(23,1),(32,1),(33,1),(37,1),(38,1),(49,1),(50,1),(54,1),(63,1)}
      27:{2,3,5}:{(20,1),(32,1),(34,1),(49,1)}
      28:{4,6}:{(21,1),(34,1)}
      29:{3,5,6}:{(22,1),(36,1),(49,1)}
      30:{1,4,5,6}:{(23,1),(24,1),(33,1),(38,1),(39,1),(75,1)}
      31:{2,5,6}:{(24,1),(35,1)}
      32:{1,2,5}:{(25,1),(27,1),(40,1)}
      33:{1,4,6}:{(26,1),(28,1),(40,1),(42,1),(69,1)}
      34:{4,5}:{(27,1),(28,1)}
      35:{2,4,6}:{(28,1),(31,1),(43,1),(45,1)}
      36:{3,4,6}:{(28,1),(29,1),(44,1),(45,1),(46,1)}
      37:{1,3,5,6}:{(29,1),(46,1),(57,1)}
      38:{1,2,5,6}:{(30,1),(31,1),(41,1),(47,1),(71,1)}
      39:{3,4,5,6}:{(30,1),(42,1),(47,1),(70,1)}
      40:{1,4,5}:{(32,1),(33,1),(34,1),(49,1)}
      41:{1,2,4,6}:{(33,1),(35,1),(38,1),(48,1),(50,1),(54,1),(55,1)}
      42:{3,4,6}:{(33,1),(49,1),(50,1),(64,1)}
      43:{2,4,5}:{(34,1),(35,1),(52,1)}
      44:{3,4,5}:{(34,1),(36,1),(49,1),(52,1),(53,1),(64,1)}
      45:{2,3,6}:{(35,1),(36,1),(52,1),(54,1)}
      46:{1,4,6}:{(36,1),(37,1),(53,1),(54,1)}
      47:{2,3,5,6}:{(38,1),(39,1),(50,1),(55,1),(66,1)}
      48:{1,2,4,5}:{(40,1),(41,1),(43,1),(56,1),(60,1),(62,1),(69,1),(71,1)}
      49:{3,5}:{(40,1),(42,1)}
      50:{2,3,6}:{(41,1),(42,1),(56,1)}
      51:{1,3,4,6}:{(42,1),(46,1),(57,1),(58,1),(69,1)}
      52:{2,3,5}:{(43,1),(44,1),(45,1),(60,1),(61,1)}
      53:{1,4,5}:{(44,1),(46,1),(57,1),(60,1),(69,1)}
      54:{1,2,6}:{(45,1),(46,1),(60,1)}
      55:{2,4,6}:{(47,1),(62,1)}
      56:{2,3,5}:{(48,1),(49,1),(50,1),(64,1)}
      57:{1,3,5}:{(49,1),(51,1),(53,1)}
      58:{1,2,3,6}:{(50,1),(51,1),(54,1),(63,1),(65,1),(80,1)}
      59:{2,3,4,6}:{(50,1),(55,1),(64,1),(65,1),(66,1),(76,1)}
      60:{1,2,5}:{(52,1),(53,1),(54,1),(67,1)}
      61:{2,3,4}:{(52,1),(64,1),(67,1)}
      62:{2,4,5}:{(55,1),(66,1)}
      63:{1,2,3,5}:{(56,1),(57,1),(58,1),(60,1),(69,1),(71,1),(73,1),(78,1)}
      64:{3,4}:{(56,1),(69,1)}
      65:{1,2,4,6}:{(58,1),(59,1),(69,1),(71,1),(79,1)}
      66:{2,3,5}:{(59,1),(62,1),(70,1),(71,1)}
      67:{1,2,4}:{(60,1),(61,1),(69,1),(73,1)}
      68:{2,4,5,6}:{(62,1),(72,1)}
      69:{1,4}:{(63,1),(64,1)}
      70:{3,4,5}:{(64,1),(66,1),(75,1),(76,1)}
      71:{1,2,5}:{(65,1),(66,1),(75,1)}
      72:{2,3,5,6}:{(66,1),(68,1),(76,1),(77,1)}
      73:{1,2,3}:{(67,1),(74,1)}
      74:{1,3,4}:{(69,1),(73,1),(78,1)}
      75:{1,4,5}:{(69,1),(70,1),(71,1),(78,1),(79,1)}
      76:{3,4,6}:{(70,1),(72,1),(79,1)}
      77:{1,2,5,6}:{(71,1),(72,1),(79,1)}
      78:{1,3,5}:{(74,1),(75,1),(80,1)}
      79:{1,4,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

246 :   0:{1,2,4,5}:{(2,1),(3,1),(15,1),(17,1),(38,1),(44,1),(46,1),(80,1),(88,1),(134,1),(139,1)}
        1:{1,4,5,6}:{(4,1),(5,1),(23,1),(25,1),(66,1),(71,1),(107,1),(119,1)}
        2:{1,2,4,6}:{(0,1),(4,1),(6,1),(25,1),(26,1),(32,1),(61,1),(107,1)}
        3:{2,3,5}:{(0,1),(6,1),(8,1),(27,1),(106,1),(157,1)}
        4:{1,2,5,6}:{(1,1),(2,1),(11,1),(41,1),(46,1),(50,1),(88,1)}
        5:{3,5,6}:{(1,1),(10,1),(90,1),(133,1)}
        6:{2,3,6}:{(2,1),(3,1),(14,1),(133,1)}
        7:{1,2,3,5}:{(3,1),(13,1),(15,1),(37,1),(38,1),(46,1),(48,1)}
        8:{3,4}:{(3,1),(15,1),(139,1)}
        9:{2,3,4}:{(8,1),(20,1),(21,1),(73,1),(157,1),(163,1)}
       10:{3,4,6}:{(5,1),(18,1),(22,1),(23,1),(25,1)}
       11:{2,3,5,6}:{(4,1),(5,1),(6,1),(22,1),(25,1),(27,1),(64,1),(113,1)}
       12:{1,3,5,6}:{(5,1),(23,1),(53,1),(119,1),(152,1)}
       13:{1,2,3,6}:{(6,1),(7,1),(26,1),(61,1),(70,1)}
       14:{3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1)}
       15:{1,4}:{(7,1),(8,1)}
       16:{3,4,5}:{(8,1),(21,1),(27,1),(29,1),(30,1),(56,1),(73,1),(106,1),(122,1)}
       17:{2,4,5}:{(21,1),(32,1),(56,1),(163,1),(202,1)}
       18:{3,4,5}:{(10,1),(33,1),(34,1),(44,1),(90,1),(128,1),(139,1)}
       19:{2,3,4,6}:{(9,1),(14,1),(35,1),(36,1),(39,1),(42,1),(75,1),(81,1),(87,1),(97,1),(125,1),(132,1),(133,1),(139,1),(146,1),(178,1),(179,1),(184,1),(213,1)}
       20:{1,2,4}:{(9,1),(15,1),(37,1),(38,1),(84,1)}
       21:{2,3,5}:{(9,1),(16,1),(17,1),(38,1),(39,1)}
       22:{2,3,6}:{(10,1),(33,1),(41,1),(42,1)}
       23:{1,4,6}:{(10,1),(12,1),(34,1),(41,1)}
       24:{1,2,3,5,6}:{(11,1),(12,1),(13,1),(41,1),(43,1),(46,1),(77,1),(82,1),(83,1),(87,1),(88,1),(90,1),(93,1),(133,1),(138,1),(140,1),(143,1),(172,1),(176,1),(208,1)}
       25:{4,6}:{(11,1),(44,1),(139,1)}
       26:{1,4,6}:{(13,1),(14,1),(15,1),(46,1)}
       27:{3,5}:{(14,1),(44,1),(46,1)}
       28:{1,3,4}:{(15,1),(37,1),(48,1),(84,1),(132,1)}
       29:{1,4,5}:{(15,1),(16,1),(38,1),(46,1),(48,1),(49,1),(84,1),(136,1)}
       30:{3,4,6}:{(16,1),(39,1),(47,1),(49,1),(81,1),(133,1)}
       31:{1,2,4,5}:{(17,1),(38,1),(51,1),(52,1),(80,1),(84,1),(134,1),(136,1),(147,1),(181,1),(213,1)}
       32:{2,4,6}:{(17,1),(39,1),(50,1),(81,1)}
       33:{2,3,5}:{(18,1),(22,1),(54,1),(55,1),(64,1),(103,1)}
       34:{1,4,5}:{(18,1),(23,1),(53,1),(54,1),(102,1)}
       35:{1,2,4,6}:{(19,1),(20,1),(26,1),(57,1),(58,1),(61,1),(98,1),(107,1),(108,1),(110,1),(150,1),(192,1)}
       36:{2,3,5}:{(19,1),(27,1),(56,1),(58,1),(64,1),(106,1),(122,1),(169,1),(198,1),(202,1)}
       37:{1,2,3}:{(20,1),(28,1),(157,1)}
       38:{1,2,5}:{(20,1),(21,1),(29,1),(61,1)}
       39:{2,3,6}:{(21,1),(30,1),(32,1),(61,1)}
       40:{1,3,4,6}:{(23,1),(53,1),(62,1),(65,1),(102,1),(151,1),(152,1),(192,1)}
       41:{1,2,6}:{(22,1),(23,1),(54,1)}
       42:{2,4,6}:{(22,1),(25,1),(55,1),(64,1)}
       43:{1,4,6}:{(24,1),(25,1),(65,1),(66,1),(102,1),(108,1),(164,1)}
       44:{4,5}:{(25,1),(27,1),(64,1)}
       45:{1,3,4,6}:{(26,1),(28,1),(57,1),(65,1),(68,1),(70,1),(108,1),(110,1),(118,1),(148,1),(158,1),(190,1),(192,1)}
       46:{1,5}:{(26,1),(27,1)}
       47:{3,5,6}:{(27,1),(30,1),(67,1),(69,1),(122,1)}
       48:{1,3,5}:{(28,1),(29,1),(70,1),(106,1)}
       49:{1,4,6}:{(29,1),(30,1),(61,1),(69,1),(70,1)}
       50:{2,5,6}:{(32,1),(71,1),(202,1)}
       51:{2,3,5}:{(31,1),(73,1),(74,1),(106,1),(122,1),(157,1)}
       52:{1,2,4,6}:{(31,1),(32,1),(61,1),(72,1),(74,1),(107,1),(110,1),(121,1)}
       53:{1,3,5}:{(34,1),(40,1),(90,1),(208,1)}
       54:{1,2,5}:{(33,1),(34,1),(41,1),(78,1)}
       55:{2,4}:{(33,1),(139,1)}
       56:{4,5}:{(36,1),(81,1),(139,1),(213,1)}
       57:{1,2,3,6}:{(35,1),(37,1),(45,1),(82,1),(87,1),(123,1),(133,1),(143,1),(179,1)}
       58:{1,2,5}:{(35,1),(36,1),(46,1),(80,1),(136,1),(208,1)}
       59:{2,3,5,6}:{(36,1),(39,1),(47,1),(50,1),(81,1),(83,1),(89,1),(94,1),(125,1),(133,1)}
       60:{1,2,3,5}:{(37,1),(38,1),(48,1),(51,1),(84,1),(85,1),(136,1)}
       61:{1,2,6}:{(38,1),(39,1),(49,1)}
       62:{1,2,3,6}:{(40,1),(41,1),(77,1),(86,1),(87,1),(173,1),(176,1)}
       63:{1,2,4,6}:{(41,1),(42,1),(43,1),(78,1),(87,1),(88,1),(134,1),(139,1),(143,1),(184,1)}
       64:{2,5}:{(42,1),(44,1)}
       65:{3,4,6}:{(43,1),(87,1),(90,1),(128,1),(132,1),(133,1),(139,1),(176,1)}
       66:{1,4,5}:{(43,1),(44,1),(46,1),(88,1),(90,1),(139,1),(185,1),(208,1)}
       67:{4,5,6}:{(44,1),(47,1),(81,1),(89,1),(147,1)}
       68:{1,3,5}:{(45,1),(46,1),(90,1),(92,1),(136,1),(180,1),(208,1)}
       69:{1,5,6}:{(46,1),(47,1),(49,1),(136,1)}
       70:{1,3,6}:{(48,1),(49,1),(133,1)}
       71:{4,5,6}:{(50,1),(81,1),(94,1),(185,1)}
       72:{1,2,5,6}:{(50,1),(52,1),(95,1),(96,1),(136,1),(181,1),(186,1)}
       73:{3,4}:{(51,1),(84,1),(213,1)}
       74:{2,3,6}:{(51,1),(52,1),(97,1),(133,1)}
       75:{2,3,4}:{(55,1),(98,1),(99,1),(103,1),(155,1),(204,1),(222,1)}
       76:{3,4,5}:{(56,1),(99,1),(100,1),(101,1),(106,1),(155,1),(198,1)}
       77:{1,2,3,5}:{(53,1),(54,1),(62,1),(102,1),(103,1),(112,1),(113,1),(153,1)}
       78:{1,2,4}:{(54,1),(55,1),(102,1),(103,1)}
       79:{2,4,5}:{(55,1),(56,1),(64,1),(99,1),(105,1),(169,1),(204,1)}
       80:{1,4,5}:{(56,1),(58,1),(106,1),(107,1),(108,1)}
       81:{4,6}:{(56,1),(59,1)}
       82:{1,2,3,5}:{(57,1),(58,1),(68,1),(106,1),(108,1),(113,1),(117,1),(157,1),(199,1)}
       83:{1,2,5,6}:{(58,1),(59,1),(61,1),(69,1),(107,1),(119,1),(150,1)}
       84:{1,4}:{(60,1),(73,1)}
       85:{1,2,3,6}:{(60,1),(61,1),(70,1),(74,1),(110,1)}
       86:{1,2,4,6}:{(62,1),(102,1),(111,1),(112,1),(154,1),(191,1),(192,1),(216,1)}
       87:{2,3,6}:{(63,1),(65,1),(103,1),(113,1),(157,1)}
       88:{1,2,5}:{(63,1),(64,1),(66,1),(113,1),(202,1)}
       89:{2,5,6}:{(64,1),(67,1),(105,1),(169,1)}
       90:{3,5}:{(65,1),(66,1)}
       91:{1,4,5,6}:{(66,1),(67,1),(69,1),(107,1),(114,1),(116,1),(118,1),(154,1),(160,1),(164,1),(201,1),(217,1),(227,1)}
       92:{1,4,5}:{(68,1),(108,1),(115,1),(117,1),(118,1)}
       93:{1,3,5,6}:{(68,1),(69,1),(70,1),(116,1),(118,1),(190,1),(217,1)}
       94:{3,5,6}:{(71,1),(101,1),(119,1),(198,1)}
       95:{1,4,5,6}:{(71,1),(72,1),(107,1),(119,1),(120,1),(121,1),(160,1),(166,1)}
       96:{2,3,5,6}:{(72,1),(74,1),(120,1),(121,1),(122,1),(167,1),(169,1),(199,1)}
       97:{3,4,6}:{(73,1),(74,1),(110,1),(121,1),(122,1)}
       98:{1,2,4}:{(75,1),(123,1),(124,1),(171,1)}
       99:{2,3,5}:{(75,1),(76,1),(79,1),(124,1),(125,1)}
      100:{1,4,5}:{(76,1),(124,1),(126,1),(127,1),(171,1),(208,1)}
      101:{3,4,6}:{(76,1),(81,1),(94,1),(125,1),(127,1),(133,1)}
      102:{1,4}:{(77,1),(128,1),(139,1)}
      103:{2,3}:{(78,1),(128,1)}
      104:{1,2,4,5}:{(78,1),(79,1),(80,1),(88,1),(124,1),(129,1),(130,1),(131,1),(134,1),(139,1),(171,1),(181,1),(182,1),(185,1),(205,1),(208,1),(213,1),(215,1),(224,1)}
      105:{2,4,6}:{(79,1),(81,1),(89,1),(125,1)}
      106:{3,5}:{(80,1),(132,1),(133,1)}
      107:{1,4,6}:{(80,1),(81,1),(83,1),(133,1)}
      108:{1,4}:{(82,1),(132,1),(139,1),(213,1)}
      109:{1,2,3,5,6}:{(82,1),(83,1),(85,1),(93,1),(96,1),(133,1),(135,1),(136,1),(140,1),(143,1),(144,1),(172,1),(179,1),(180,1),(181,1),(186,1),(208,1),(209,1),(223,1),(229,1)}
      110:{1,4,6}:{(84,1),(85,1),(97,1),(136,1)}
      111:{2,3,4,6}:{(86,1),(87,1),(128,1),(137,1),(139,1),(176,1),(177,1),(178,1),(183,1),(184,1),(210,1)}
      112:{1,2,5}:{(86,1),(129,1),(137,1),(208,1)}
      113:{2,3,5}:{(87,1),(88,1),(90,1),(139,1)}
      114:{1,2,5,6}:{(88,1),(89,1),(91,1),(131,1),(140,1),(143,1),(181,1),(208,1),(214,1)}
      115:{3,4,5}:{(90,1),(92,1),(132,1),(139,1),(141,1),(142,1),(180,1),(185,1),(213,1)}
      116:{3,5,6}:{(90,1),(91,1),(133,1),(142,1),(176,1),(180,1),(229,1)}
      117:{1,2,5}:{(92,1),(134,1),(141,1),(143,1)}
      118:{1,4,6}:{(92,1),(93,1),(142,1),(143,1)}
      119:{1,5,6}:{(94,1),(127,1),(208,1)}
      120:{3,5,6}:{(95,1),(133,1),(145,1),(180,1)}
      121:{4,6}:{(96,1),(147,1),(213,1)}
      122:{3,5}:{(97,1),(136,1),(147,1)}
      123:{1,2,3}:{(98,1),(103,1),(148,1),(222,1)}
      124:{1,2,5}:{(98,1),(99,1),(100,1),(150,1)}
      125:{2,3,6}:{(99,1),(101,1),(105,1),(150,1)}
      126:{1,3,5}:{(100,1),(106,1),(151,1),(152,1)}
      127:{1,4,6}:{(100,1),(101,1),(119,1),(150,1),(152,1)}
      128:{3,4}:{(102,1),(103,1),(153,1)}
      129:{1,4,5}:{(102,1),(112,1),(153,1),(154,1),(161,1)}
      130:{2,3,5}:{(103,1),(104,1),(106,1),(153,1),(155,1),(156,1),(157,1),(198,1),(222,1),(228,1)}
      131:{1,2,4,6}:{(104,1),(105,1),(107,1),(114,1),(150,1),(154,1),(156,1),(164,1),(192,1),(200,1),(216,1),(227,1)}
      132:{3,4}:{(106,1),(108,1),(157,1)}
      133:{3,6}:{(106,1),(107,1)}
      134:{1,2,4}:{(108,1),(117,1),(157,1),(163,1)}
      135:{1,4,6}:{(108,1),(109,1),(121,1),(158,1),(160,1),(164,1),(219,1)}
      136:{1,5}:{(110,1),(122,1)}
      137:{2,3,5}:{(111,1),(112,1),(153,1),(161,1),(198,1),(202,1)}
      138:{1,2,5,6}:{(112,1),(154,1),(162,1),(216,1),(217,1)}
      139:{4}:{(113,1)}
      140:{2,3,5,6}:{(113,1),(114,1),(116,1),(156,1),(164,1),(165,1),(198,1),(199,1),(202,1)}
      141:{2,3,5}:{(115,1),(117,1),(157,1),(163,1),(165,1),(202,1)}
      142:{3,4,6}:{(115,1),(116,1),(118,1),(164,1),(165,1)}
      143:{1,2,6}:{(117,1),(118,1),(165,1)}
      144:{1,3,5,6}:{(119,1),(120,1),(152,1),(166,1),(194,1)}
      145:{3,4,6}:{(120,1),(121,1),(166,1),(167,1),(168,1)}
      146:{2,4,6}:{(121,1),(167,1),(169,1),(204,1)}
      147:{4,5}:{(121,1),(122,1),(169,1)}
      148:{1,3,4}:{(123,1),(128,1),(170,1),(171,1),(225,1)}
      149:{1,2,3,5}:{(123,1),(124,1),(126,1),(130,1),(170,1),(171,1),(172,1),(173,1),(205,1),(208,1)}
      150:{1,2,6}:{(124,1),(125,1),(127,1)}
      151:{1,3,4}:{(126,1),(132,1),(171,1),(173,1)}
      152:{1,3,6}:{(126,1),(127,1),(133,1)}
      153:{3,5}:{(128,1),(129,1),(176,1)}
      154:{1,4,6}:{(129,1),(138,1),(176,1),(183,1)}
      155:{3,4}:{(130,1),(139,1),(171,1),(213,1)}
      156:{2,3,6}:{(130,1),(131,1),(133,1),(176,1),(178,1),(229,1)}
      157:{2,3}:{(132,1),(134,1)}
      158:{3,4,6}:{(132,1),(133,1),(135,1),(179,1),(180,1),(213,1),(225,1),(229,1)}
      159:{1,2,4,6}:{(134,1),(135,1),(143,1),(146,1),(179,1),(181,1),(184,1),(186,1),(213,1),(215,1)}
      160:{1,4,5}:{(135,1),(136,1),(147,1),(180,1),(181,1),(185,1),(208,1),(213,1)}
      161:{4,5}:{(137,1),(139,1),(183,1)}
      162:{2,3,5,6}:{(137,1),(138,1),(176,1),(183,1),(210,1),(211,1),(214,1)}
      163:{2,4}:{(139,1),(141,1),(213,1)}
      164:{4,6}:{(139,1),(140,1),(185,1),(213,1)}
      165:{2,3,6}:{(141,1),(142,1),(143,1),(184,1)}
      166:{1,4,6}:{(144,1),(145,1),(186,1),(187,1)}
      167:{2,3,6}:{(145,1),(146,1),(186,1),(188,1)}
      168:{3,4,5}:{(145,1),(147,1),(180,1),(187,1),(188,1),(213,1),(225,1)}
      169:{2,5}:{(146,1),(147,1)}
      170:{1,3,5}:{(148,1),(153,1),(189,1),(190,1),(228,1)}
      171:{1,4}:{(149,1),(155,1)}
      172:{1,2,3,6}:{(149,1),(150,1),(152,1),(156,1),(190,1),(192,1),(216,1)}
      173:{1,2,3}:{(151,1),(157,1),(191,1)}
      174:{1,3,4,6}:{(151,1),(152,1),(158,1),(166,1),(192,1),(193,1),(194,1),(219,1)}
      175:{3,4,5}:{(153,1),(155,1),(161,1),(189,1),(195,1),(196,1),(198,1),(221,1),(228,1)}
      176:{3,6}:{(153,1),(154,1)}
      177:{2,3,4}:{(155,1),(157,1),(163,1),(191,1),(195,1)}
      178:{3,4,6}:{(155,1),(156,1),(164,1),(192,1),(198,1)}
      179:{2,3,6}:{(157,1),(158,1),(159,1),(199,1),(222,1)}
      180:{3,5}:{(158,1),(160,1)}
      181:{1,2,5}:{(159,1),(160,1),(169,1),(199,1),(202,1)}
      182:{2,4,5}:{(161,1),(163,1),(195,1),(200,1),(202,1),(221,1)}
      183:{4,6}:{(161,1),(162,1)}
      184:{2,4,6}:{(163,1),(164,1),(165,1),(202,1)}
      185:{4,5}:{(164,1),(198,1),(202,1)}
      186:{1,2,6}:{(166,1),(167,1),(203,1)}
      187:{1,4,5}:{(166,1),(168,1),(194,1),(203,1),(219,1)}
      188:{2,3,5}:{(167,1),(168,1),(169,1),(203,1),(204,1),(222,1)}
      189:{1,4,5}:{(170,1),(171,1),(175,1),(205,1),(206,1),(208,1)}
      190:{1,3,6}:{(170,1),(176,1),(206,1),(229,1)}
      191:{1,2,4}:{(171,1),(173,1),(177,1),(205,1)}
      192:{1,4,6}:{(171,1),(172,1),(178,1),(208,1)}
      193:{1,2,3,6}:{(173,1),(174,1),(179,1),(186,1),(207,1),(209,1),(229,1)}
      194:{1,3,5}:{(174,1),(180,1),(187,1),(208,1)}
      195:{2,3,5}:{(175,1),(177,1),(182,1),(205,1),(210,1)}
      196:{3,4,6}:{(175,1),(176,1),(183,1),(206,1),(210,1),(211,1),(226,1),(229,1)}
      197:{2,3,4,6}:{(177,1),(178,1),(179,1),(184,1),(207,1),(210,1),(212,1),(213,1),(225,1),(226,1),(229,1)}
      198:{3,5}:{(178,1),(185,1),(208,1)}
      199:{2,3,5}:{(179,1),(180,1),(181,1),(213,1)}
      200:{2,4,6}:{(182,1),(183,1),(210,1),(214,1),(226,1)}
      201:{4,5,6}:{(183,1),(185,1),(211,1),(214,1),(226,1)}
      202:{2,5}:{(184,1),(185,1)}
      203:{1,2,5}:{(186,1),(187,1),(188,1),(215,1)}
      204:{2,4}:{(188,1),(213,1)}
      205:{1,2,5}:{(189,1),(191,1),(195,1),(216,1)}
      206:{1,4,6}:{(189,1),(190,1),(196,1),(216,1),(217,1)}
      207:{1,2,4,6}:{(191,1),(192,1),(193,1),(197,1),(216,1),(218,1),(219,1),(227,1)}
      208:{1,5}:{(192,1),(198,1)}
      209:{1,2,3,5}:{(193,1),(194,1),(199,1),(203,1),(218,1),(219,1),(222,1),(228,1)}
      210:{2,3,6}:{(195,1),(196,1),(200,1),(216,1)}
      211:{3,5,6}:{(196,1),(198,1),(201,1),(217,1)}
      212:{2,3,5}:{(197,1),(198,1),(202,1),(218,1),(221,1),(228,1)}
      213:{4}:{(199,1)}
      214:{2,5,6}:{(200,1),(201,1),(202,1)}
      215:{1,2,4}:{(203,1),(204,1),(219,1),(222,1)}
      216:{1,2,6}:{(205,1),(206,1),(210,1)}
      217:{1,5,6}:{(206,1),(208,1),(211,1)}
      218:{1,2,5}:{(207,1),(208,1),(212,1),(224,1)}
      219:{1,4}:{(209,1),(213,1),(225,1)}
      220:{2,3,5,6}:{(210,1),(211,1),(212,1),(214,1),(223,1),(226,1),(229,1)}
      221:{4,5}:{(212,1),(213,1),(226,1)}
      222:{2,3}:{(215,1),(225,1)}
      223:{1,2,5,6}:{(216,1),(217,1),(218,1),(220,1),(227,1)}
      224:{1,4,5}:{(218,1),(219,1),(221,1),(227,1),(228,1)}
      225:{3,4}:{(219,1),(222,1),(228,1)}
      226:{4,6}:{(220,1),(221,1)}
      227:{1,4,6}:{(223,1),(224,1),(226,1),(229,1)}
      228:{3,5}:{(224,1),(225,1),(229,1)}
      229:{3,6}:{(227,1),(228,1)}

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

248 :  0:{2,4,6}:{(4,1),(5,1),(10,1),(22,1),(44,1),(51,1),(60,1)}
       1:{3,4,6}:{(4,1),(6,1),(7,1),(9,1),(22,1),(27,1),(38,1),(40,1),(44,1)}
       2:{3,5,6}:{(7,1),(8,1),(9,1),(27,1)}
       3:{2,5,6}:{(5,1),(10,1),(55,1),(60,1)}
       4:{2,3,6}:{(0,1),(1,1),(12,1),(13,1),(18,1),(19,1),(45,1)}
       5:{2,5}:{(0,1),(14,1),(50,1)}
       6:{1,4,6}:{(1,1),(11,1),(12,1),(15,1),(29,1),(30,1)}
       7:{3,5}:{(1,1),(15,1),(16,1),(50,1)}
       8:{1,5,6}:{(2,1),(15,1),(17,1),(50,1)}
       9:{4,6}:{(2,1),(16,1),(18,1)}
      10:{4,6}:{(3,1),(14,1),(19,1)}
      11:{1,3,6}:{(6,1),(20,1),(27,1),(40,1)}
      12:{1,2,6}:{(4,1),(6,1),(21,1),(28,1),(37,1)}
      13:{2,3,5}:{(4,1),(5,1),(7,1),(21,1),(22,1),(23,1),(25,1),(40,1),(41,1)}
      14:{4,5}:{(5,1),(10,1),(22,1),(23,1)}
      15:{1,5}:{(6,1),(7,1)}
      16:{4,5}:{(7,1),(9,1),(22,1),(25,1)}
      17:{1,4,6}:{(8,1),(9,1),(24,1),(26,1),(27,1),(44,1)}
      18:{2,6}:{(9,1),(25,1)}
      19:{3,6}:{(10,1),(23,1),(28,1)}
      20:{1,3,5}:{(11,1),(15,1),(29,1),(35,1)}
      21:{1,2,5}:{(12,1),(13,1),(15,1),(30,1),(33,1),(48,1)}
      22:{4}:{(13,1)}
      23:{3,5}:{(14,1),(19,1),(32,1),(33,1)}
      24:{1,4,5}:{(15,1),(16,1),(17,1),(29,1),(30,1),(34,1),(35,1),(49,1),(50,1)}
      25:{2,5}:{(16,1),(18,1),(31,1)}
      26:{1,2,6}:{(17,1),(18,1),(34,1),(36,1),(63,1)}
      27:{3,6}:{(17,1),(35,1)}
      28:{1,6}:{(19,1),(33,1)}
      29:{1,4}:{(20,1),(37,1),(38,1)}
      30:{1,4}:{(21,1),(22,1),(40,1)}
      31:{2,4}:{(22,1),(25,1),(41,1)}
      32:{3,4}:{(22,1),(23,1),(40,1),(41,1),(42,1)}
      33:{1,5}:{(23,1),(28,1),(42,1)}
      34:{1,2,5}:{(24,1),(25,1),(26,1),(37,1),(39,1),(43,1),(61,1)}
      35:{3,5}:{(24,1),(27,1),(38,1),(40,1)}
      36:{2,3,6}:{(26,1),(27,1),(43,1),(44,1),(60,1),(62,1)}
      37:{1,2}:{(29,1),(45,1)}
      38:{3,4}:{(29,1),(35,1),(45,1),(49,1)}
      39:{1,2,4}:{(30,1),(31,1),(34,1),(46,1),(48,1),(49,1),(57,1)}
      40:{3}:{(30,1)}
      41:{2,3}:{(31,1),(32,1),(48,1)}
      42:{1,4}:{(32,1),(33,1),(47,1),(48,1)}
      43:{2,3,5}:{(34,1),(35,1),(36,1),(45,1),(46,1),(49,1),(50,1),(56,1),(58,1)}
      44:{4,6}:{(36,1),(49,1),(50,1)}
      45:{2,3}:{(37,1),(38,1),(51,1)}
      46:{2,3}:{(39,1),(40,1),(53,1)}
      47:{1,3}:{(40,1),(42,1)}
      48:{1,2}:{(41,1),(42,1)}
      49:{4}:{(43,1)}
      50:{5}:{(44,1)}
      51:{2,4}:{(45,1),(49,1),(56,1)}
      52:{1,2,3}:{(46,1),(47,1),(48,1),(57,1)}
      53:{3,4}:{(46,1),(49,1),(57,1),(58,1)}
      54:{4,5}:{(49,1),(50,1),(56,1),(58,1),(59,1)}
      55:{5,6}:{(50,1),(59,1)}
      56:{2,5}:{(51,1),(54,1),(60,1)}
      57:{1,4}:{(52,1),(53,1),(61,1)}
      58:{3,5}:{(53,1),(54,1),(61,1),(62,1)}
      59:{4,6}:{(54,1),(55,1),(60,1),(62,1)}
      60:{2,6}:{(56,1),(59,1)}
      61:{1,5}:{(57,1),(58,1),(63,1)}
      62:{3,6}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

249 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

250 :   0:{2,3,4,6}:{(1,1),(2,1),(9,1),(13,1),(40,1),(45,1),(46,1),(90,1),(91,1),(131,1),(142,1)}
        1:{1,2,4,6}:{(0,1),(5,1),(6,1),(20,1),(27,1),(28,1),(62,1),(110,1)}
        2:{2,3,5}:{(0,1),(4,1),(6,1),(26,1),(116,1),(157,1)}
        3:{1,3,4,6}:{(5,1),(8,1),(28,1),(32,1),(60,1),(68,1),(108,1),(110,1)}
        4:{4,5}:{(2,1),(13,1),(142,1)}
        5:{1,2,3,6}:{(1,1),(3,1),(14,1),(38,1),(46,1),(51,1),(91,1)}
        6:{1,2,5}:{(1,1),(2,1),(12,1),(137,1)}
        7:{2,3,5,6}:{(2,1),(13,1),(15,1),(35,1),(36,1),(40,1),(46,1)}
        8:{1,3,5}:{(3,1),(16,1),(92,1),(137,1)}
        9:{2,3,4}:{(20,1),(21,1),(65,1),(158,1),(195,1)}
       10:{3,4,5}:{(4,1),(21,1),(22,1),(23,1),(26,1),(53,1),(65,1),(99,1),(116,1)}
       11:{2,4,5}:{(4,1),(21,1),(25,1),(53,1),(157,1),(158,1)}
       12:{1,4,5}:{(4,1),(6,1),(26,1),(27,1),(28,1)}
       13:{4,6}:{(4,1),(7,1)}
       14:{1,2,3,5}:{(5,1),(6,1),(8,1),(26,1),(28,1),(31,1),(67,1),(117,1)}
       15:{1,2,5,6}:{(6,1),(7,1),(27,1),(57,1),(62,1)}
       16:{1,4,5}:{(8,1),(28,1),(30,1),(31,1),(32,1)}
       17:{1,3,5,6}:{(8,1),(32,1),(73,1),(108,1),(160,1)}
       18:{2,3,4,6}:{(9,1),(33,1),(34,1),(40,1),(77,1),(90,1),(125,1),(126,1),(131,1),(174,1),(208,1)}
       19:{4,5,6}:{(13,1),(35,1),(36,1),(77,1),(132,1)}
       20:{1,2,4}:{(9,1),(38,1),(39,1),(84,1)}
       21:{2,3,5}:{(9,1),(10,1),(11,1),(39,1),(40,1)}
       22:{1,4,5}:{(10,1),(39,1),(41,1),(42,1),(84,1),(137,1)}
       23:{3,4,6}:{(10,1),(13,1),(35,1),(40,1),(42,1),(46,1),(77,1),(126,1)}
       24:{1,2,4,5}:{(11,1),(12,1),(39,1),(43,1),(44,1),(47,1),(76,1),(84,1),(93,1),(94,1),(127,1),(132,1),(134,1),(137,1),(142,1),(176,1),(177,1),(182,1),(208,1)}
       25:{2,4,6}:{(11,1),(13,1),(36,1),(40,1),(77,1)}
       26:{3,5}:{(12,1),(45,1),(46,1)}
       27:{1,4,6}:{(12,1),(13,1),(15,1),(46,1)}
       28:{1,4}:{(14,1),(45,1),(142,1)}
       29:{1,2,3,5,6}:{(14,1),(15,1),(17,1),(46,1),(48,1),(51,1),(80,1),(81,1),(85,1),(91,1),(92,1),(93,1),(96,1),(129,1),(137,1),(138,1),(147,1),(181,1),(188,1),(213,1)}
       30:{3,4,5}:{(16,1),(45,1),(49,1),(50,1),(92,1),(142,1),(145,1)}
       31:{1,2,5}:{(16,1),(47,1),(49,1),(51,1)}
       32:{1,4,6}:{(16,1),(17,1),(50,1),(51,1)}
       33:{1,2,4,6}:{(18,1),(20,1),(54,1),(55,1),(62,1),(100,1),(101,1),(110,1)}
       34:{2,3,5}:{(18,1),(53,1),(55,1),(99,1),(116,1),(157,1)}
       35:{3,5,6}:{(19,1),(23,1),(57,1),(116,1)}
       36:{2,5,6}:{(19,1),(25,1),(157,1)}
       37:{1,4,5,6}:{(19,1),(27,1),(57,1),(58,1),(59,1),(70,1),(100,1),(103,1),(104,1),(154,1),(167,1),(199,1),(204,1)}
       38:{1,2,3}:{(20,1),(60,1),(195,1)}
       39:{1,2,5}:{(20,1),(21,1),(22,1),(62,1)}
       40:{2,3,6}:{(21,1),(23,1),(25,1),(62,1)}
       41:{1,3,5}:{(22,1),(26,1),(63,1),(64,1),(99,1)}
       42:{1,4,6}:{(22,1),(23,1),(57,1),(62,1),(64,1)}
       43:{2,3,5}:{(24,1),(26,1),(65,1),(66,1),(67,1),(99,1),(116,1),(151,1),(195,1),(200,1)}
       44:{1,2,4,6}:{(24,1),(25,1),(27,1),(58,1),(62,1),(66,1),(100,1),(104,1),(110,1),(119,1),(159,1),(199,1)}
       45:{3,4}:{(26,1),(28,1),(67,1)}
       46:{3,6}:{(26,1),(27,1)}
       47:{1,2,4}:{(28,1),(31,1),(67,1),(71,1)}
       48:{1,4,6}:{(28,1),(29,1),(68,1),(70,1),(104,1),(121,1),(162,1)}
       49:{2,3,5}:{(30,1),(31,1),(67,1),(71,1),(72,1),(120,1)}
       50:{3,4,6}:{(30,1),(32,1),(72,1),(73,1),(121,1)}
       51:{1,2,6}:{(31,1),(32,1),(72,1)}
       52:{1,4,5,6}:{(32,1),(70,1),(73,1),(74,1),(121,1),(156,1),(160,1),(199,1)}
       53:{4,5}:{(34,1),(77,1),(208,1)}
       54:{1,2,3,6}:{(33,1),(38,1),(75,1),(78,1),(126,1),(172,1),(174,1)}
       55:{1,2,5}:{(33,1),(34,1),(76,1),(137,1)}
       56:{2,3,5,6}:{(34,1),(35,1),(36,1),(40,1),(77,1),(79,1),(126,1)}
       57:{1,5,6}:{(35,1),(42,1),(137,1)}
       58:{1,2,5,6}:{(36,1),(37,1),(44,1),(81,1),(93,1),(129,1),(137,1),(144,1),(176,1)}
       59:{3,5,6}:{(37,1),(46,1),(82,1),(92,1),(126,1),(175,1),(213,1)}
       60:{1,3,4}:{(38,1),(83,1),(84,1),(183,1)}
       61:{1,2,3,5}:{(38,1),(39,1),(41,1),(43,1),(83,1),(84,1),(85,1),(86,1),(134,1),(137,1)}
       62:{1,2,6}:{(39,1),(40,1),(42,1)}
       63:{1,3,4}:{(41,1),(45,1),(84,1),(86,1),(125,1)}
       64:{1,3,6}:{(41,1),(42,1),(46,1),(126,1)}
       65:{3,4}:{(43,1),(84,1),(142,1),(208,1)}
       66:{2,3,6}:{(43,1),(44,1),(46,1),(90,1),(126,1),(213,1)}
       67:{2,3}:{(45,1),(47,1)}
       68:{3,4,6}:{(45,1),(46,1),(48,1),(91,1),(92,1),(142,1),(183,1),(213,1)}
       69:{1,2,4,6}:{(47,1),(48,1),(51,1),(91,1),(93,1),(95,1),(129,1),(131,1),(142,1),(177,1)}
       70:{1,4,5}:{(48,1),(92,1),(93,1),(132,1),(137,1),(142,1),(145,1),(188,1)}
       71:{2,4}:{(49,1),(142,1)}
       72:{2,3,6}:{(49,1),(50,1),(51,1),(95,1)}
       73:{3,5,6}:{(50,1),(52,1),(92,1),(213,1)}
       74:{1,2,5,6}:{(51,1),(52,1),(93,1),(96,1),(97,1),(178,1),(188,1)}
       75:{1,3,4,6}:{(54,1),(60,1),(98,1),(101,1),(108,1),(110,1),(150,1),(152,1)}
       76:{1,4,5}:{(53,1),(55,1),(99,1),(100,1),(101,1)}
       77:{4,6}:{(53,1),(56,1)}
       78:{1,2,3,5}:{(54,1),(55,1),(98,1),(99,1),(101,1),(149,1),(151,1),(193,1)}
       79:{1,2,5,6}:{(55,1),(56,1),(57,1),(62,1),(100,1)}
       80:{1,3,5,6}:{(57,1),(59,1),(64,1),(103,1),(112,1),(204,1),(222,1)}
       81:{2,3,5,6}:{(58,1),(59,1),(66,1),(104,1),(105,1),(116,1),(117,1),(157,1),(193,1)}
       82:{3,4,6}:{(59,1),(103,1),(104,1),(105,1),(106,1)}
       83:{1,3,5}:{(60,1),(107,1),(108,1),(200,1)}
       84:{1,4}:{(61,1),(65,1)}
       85:{1,2,3,6}:{(61,1),(62,1),(64,1),(66,1),(108,1),(110,1),(159,1)}
       86:{1,2,3}:{(63,1),(67,1),(109,1),(151,1)}
       87:{1,3,4,6}:{(63,1),(64,1),(68,1),(103,1),(110,1),(111,1),(112,1),(152,1),(162,1),(169,1),(201,1),(222,1),(228,1)}
       88:{3,4,5}:{(65,1),(107,1),(113,1),(114,1),(116,1),(164,1),(200,1)}
       89:{2,3,4}:{(65,1),(67,1),(71,1),(109,1),(113,1),(151,1),(189,1)}
       90:{3,4,6}:{(65,1),(66,1),(104,1),(110,1),(116,1)}
       91:{2,3,6}:{(67,1),(68,1),(69,1),(117,1),(195,1)}
       92:{3,5}:{(68,1),(70,1)}
       93:{1,2,5}:{(69,1),(70,1),(117,1),(120,1),(157,1)}
       94:{2,4,5}:{(71,1),(113,1),(119,1),(120,1),(164,1),(189,1),(216,1)}
       95:{2,4,6}:{(71,1),(72,1),(120,1),(121,1)}
       96:{2,3,5,6}:{(72,1),(73,1),(74,1),(117,1),(120,1),(121,1),(122,1),(168,1)}
       97:{1,2,4,6}:{(74,1),(118,1),(121,1),(122,1),(169,1),(196,1),(199,1),(221,1)}
       98:{1,3,5}:{(75,1),(123,1),(137,1),(175,1)}
       99:{3,5}:{(76,1),(125,1),(126,1)}
      100:{1,4,6}:{(76,1),(77,1),(79,1),(126,1)}
      101:{1,4}:{(78,1),(125,1),(208,1)}
      102:{1,2,3,5,6}:{(78,1),(79,1),(80,1),(81,1),(85,1),(124,1),(126,1),(128,1),(129,1),(137,1),(138,1),(172,1),(174,1),(175,1),(176,1),(181,1),(206,1),(213,1),(225,1),(229,1)}
      103:{1,4,6}:{(80,1),(82,1),(129,1),(130,1)}
      104:{4,6}:{(81,1),(132,1),(142,1),(208,1)}
      105:{2,3,6}:{(82,1),(129,1),(131,1),(133,1)}
      106:{3,4,5}:{(82,1),(92,1),(130,1),(132,1),(133,1),(142,1),(175,1),(183,1),(208,1)}
      107:{1,4,5}:{(83,1),(84,1),(88,1),(134,1),(135,1),(137,1)}
      108:{1,3,6}:{(83,1),(135,1),(213,1)}
      109:{1,2,4}:{(84,1),(86,1),(89,1),(134,1)}
      110:{1,4,6}:{(84,1),(85,1),(90,1),(137,1)}
      111:{1,2,3,6}:{(86,1),(87,1),(91,1),(129,1),(136,1),(138,1),(174,1),(210,1),(213,1)}
      112:{1,3,5}:{(87,1),(92,1),(130,1),(137,1),(175,1),(188,1),(229,1)}
      113:{2,3,5}:{(88,1),(89,1),(94,1),(134,1),(139,1)}
      114:{3,4,6}:{(88,1),(135,1),(139,1),(140,1),(184,1),(213,1)}
      115:{2,3,4,6}:{(89,1),(90,1),(91,1),(95,1),(131,1),(136,1),(139,1),(141,1),(142,1),(146,1),(174,1),(180,1),(183,1),(184,1),(205,1),(208,1),(211,1),(213,1),(224,1)}
      116:{3,5}:{(90,1),(132,1),(137,1)}
      117:{2,3,5}:{(91,1),(92,1),(93,1),(142,1)}
      118:{1,2,4,5}:{(93,1),(97,1),(142,1),(143,1),(145,1),(177,1),(179,1),(182,1),(186,1),(188,1),(212,1)}
      119:{2,4,6}:{(94,1),(139,1),(144,1),(184,1)}
      120:{2,5}:{(95,1),(145,1)}
      121:{4,6}:{(96,1),(142,1),(145,1)}
      122:{2,3,6}:{(97,1),(143,1),(146,1),(213,1)}
      123:{1,4,5}:{(98,1),(101,1),(148,1),(149,1),(150,1)}
      124:{1,3,5,6}:{(98,1),(108,1),(150,1),(160,1),(191,1)}
      125:{3,4}:{(99,1),(101,1),(151,1)}
      126:{3,6}:{(99,1),(100,1)}
      127:{1,2,4}:{(101,1),(149,1),(151,1),(189,1)}
      128:{1,4,6}:{(101,1),(102,1),(104,1),(152,1),(154,1),(162,1),(217,1)}
      129:{1,2,6}:{(103,1),(105,1),(155,1)}
      130:{1,4,5}:{(103,1),(106,1),(112,1),(155,1),(162,1)}
      131:{2,4,6}:{(104,1),(105,1),(157,1),(158,1)}
      132:{4,5}:{(104,1),(116,1),(157,1)}
      133:{2,3,5}:{(105,1),(106,1),(155,1),(157,1),(158,1),(195,1)}
      134:{1,2,5}:{(107,1),(109,1),(113,1),(159,1)}
      135:{1,4,6}:{(107,1),(108,1),(114,1),(159,1),(160,1)}
      136:{1,2,4,6}:{(109,1),(110,1),(111,1),(115,1),(159,1),(161,1),(162,1),(169,1),(198,1),(199,1),(221,1),(228,1)}
      137:{1,5}:{(110,1),(116,1)}
      138:{1,2,3,5}:{(111,1),(112,1),(117,1),(155,1),(161,1),(162,1),(193,1),(195,1),(200,1)}
      139:{2,3,6}:{(113,1),(114,1),(119,1),(159,1)}
      140:{3,5,6}:{(114,1),(116,1),(156,1),(160,1)}
      141:{2,3,5}:{(115,1),(116,1),(120,1),(157,1),(161,1),(164,1),(168,1),(200,1),(216,1),(227,1)}
      142:{4}:{(117,1)}
      143:{2,3,5}:{(118,1),(122,1),(165,1),(168,1),(195,1),(200,1)}
      144:{2,5,6}:{(119,1),(120,1),(167,1),(216,1)}
      145:{4,5}:{(120,1),(121,1),(168,1)}
      146:{3,4,6}:{(121,1),(122,1),(165,1),(168,1),(169,1)}
      147:{1,2,3,6}:{(122,1),(166,1),(169,1),(221,1),(222,1)}
      148:{3,4,5}:{(123,1),(125,1),(170,1),(171,1),(175,1),(208,1),(223,1)}
      149:{1,2,5}:{(123,1),(127,1),(170,1),(172,1)}
      150:{1,4,6}:{(123,1),(124,1),(171,1),(172,1)}
      151:{2,3}:{(125,1),(127,1)}
      152:{3,4,6}:{(125,1),(126,1),(128,1),(174,1),(175,1),(183,1),(208,1),(213,1)}
      153:{1,2,4,6}:{(127,1),(128,1),(129,1),(131,1),(172,1),(174,1),(176,1),(177,1),(205,1),(208,1)}
      154:{1,4,5}:{(128,1),(132,1),(137,1),(175,1),(176,1),(208,1),(223,1),(229,1)}
      155:{1,2,5}:{(129,1),(130,1),(133,1),(177,1)}
      156:{4,5,6}:{(132,1),(140,1),(178,1),(184,1)}
      157:{2,5}:{(131,1),(132,1)}
      158:{2,4}:{(133,1),(142,1),(208,1)}
      159:{1,2,6}:{(134,1),(135,1),(139,1)}
      160:{1,5,6}:{(135,1),(137,1),(140,1)}
      161:{1,2,5}:{(136,1),(137,1),(141,1),(182,1),(188,1),(229,1)}
      162:{1,4}:{(138,1),(142,1),(183,1),(208,1)}
      163:{2,3,5,6}:{(139,1),(140,1),(141,1),(144,1),(178,1),(181,1),(184,1),(187,1),(211,1),(213,1)}
      164:{4,5}:{(141,1),(142,1),(184,1),(208,1)}
      165:{3,4}:{(142,1),(143,1),(186,1)}
      166:{1,2,3,5}:{(143,1),(147,1),(186,1),(188,1),(210,1),(212,1),(214,1)}
      167:{4,5,6}:{(144,1),(145,1),(184,1),(187,1),(223,1)}
      168:{3,5}:{(145,1),(146,1),(188,1)}
      169:{1,4,6}:{(146,1),(147,1),(186,1),(188,1)}
      170:{2,3,5}:{(148,1),(149,1),(151,1),(189,1),(190,1),(216,1)}
      171:{3,4,6}:{(148,1),(150,1),(190,1),(191,1),(217,1)}
      172:{1,2,6}:{(149,1),(150,1),(190,1)}
      173:{1,4,5,6}:{(150,1),(154,1),(156,1),(160,1),(191,1),(192,1),(199,1),(217,1)}
      174:{2,3,6}:{(151,1),(152,1),(153,1),(193,1),(195,1)}
      175:{3,5}:{(152,1),(154,1)}
      176:{1,2,5}:{(153,1),(154,1),(157,1),(193,1),(216,1)}
      177:{1,2,4}:{(155,1),(158,1),(162,1),(195,1)}
      178:{2,5,6}:{(156,1),(157,1),(196,1)}
      179:{2,4,5}:{(157,1),(158,1),(164,1),(196,1),(197,1)}
      180:{2,3,4}:{(158,1),(165,1),(195,1),(197,1),(198,1),(219,1)}
      181:{1,2,5,6}:{(159,1),(160,1),(161,1),(163,1),(199,1),(204,1),(221,1)}
      182:{1,4,5}:{(161,1),(162,1),(164,1),(199,1),(200,1)}
      183:{3,4}:{(162,1),(195,1),(200,1)}
      184:{4,6}:{(163,1),(164,1)}
      185:{3,4,5}:{(164,1),(165,1),(168,1),(197,1),(200,1),(202,1),(203,1),(219,1),(227,1)}
      186:{1,4}:{(165,1),(166,1)}
      187:{3,5,6}:{(167,1),(168,1),(202,1),(204,1),(227,1)}
      188:{1,5}:{(168,1),(169,1)}
      189:{2,4}:{(170,1),(208,1)}
      190:{2,3,6}:{(170,1),(171,1),(172,1),(205,1)}
      191:{3,5,6}:{(171,1),(173,1),(175,1),(213,1)}
      192:{1,2,5,6}:{(172,1),(173,1),(176,1),(178,1),(206,1),(207,1),(229,1)}
      193:{2,3,5}:{(174,1),(175,1),(176,1),(208,1)}
      194:{1,2,4,5}:{(176,1),(177,1),(179,1),(182,1),(207,1),(208,1),(209,1),(212,1),(223,1),(226,1),(229,1)}
      195:{2,3}:{(177,1),(183,1)}
      196:{2,4,6}:{(178,1),(179,1),(184,1),(211,1)}
      197:{2,3,5}:{(179,1),(180,1),(185,1),(211,1),(212,1)}
      198:{1,2,4}:{(180,1),(186,1),(210,1),(212,1),(226,1)}
      199:{1,4,6}:{(181,1),(182,1),(184,1),(213,1)}
      200:{3,5}:{(182,1),(183,1),(213,1)}
      201:{1,3,4}:{(183,1),(186,1),(210,1),(214,1),(226,1)}
      202:{3,4,6}:{(184,1),(185,1),(187,1),(211,1),(213,1),(215,1)}
      203:{1,4,5}:{(185,1),(186,1),(188,1),(212,1),(214,1),(215,1),(226,1),(229,1)}
      204:{1,5,6}:{(187,1),(188,1),(215,1),(229,1)}
      205:{2,4,6}:{(189,1),(190,1),(216,1),(217,1)}
      206:{2,3,5,6}:{(190,1),(191,1),(192,1),(193,1),(216,1),(217,1),(218,1),(227,1)}
      207:{1,2,4,6}:{(192,1),(194,1),(196,1),(199,1),(217,1),(218,1),(221,1),(228,1)}
      208:{4}:{(193,1)}
      209:{2,3,5}:{(194,1),(195,1),(200,1),(218,1),(219,1),(227,1)}
      210:{1,2,3}:{(195,1),(198,1),(201,1)}
      211:{2,3,6}:{(196,1),(197,1),(202,1),(221,1)}
      212:{1,2,5}:{(197,1),(198,1),(203,1),(221,1)}
      213:{3,6}:{(199,1),(200,1)}
      214:{1,3,5}:{(200,1),(201,1),(203,1),(222,1)}
      215:{1,4,6}:{(202,1),(203,1),(204,1),(221,1),(222,1)}
      216:{2,5}:{(205,1),(223,1)}
      217:{4,6}:{(206,1),(208,1),(223,1)}
      218:{2,3,6}:{(207,1),(209,1),(213,1),(224,1)}
      219:{3,4}:{(208,1),(209,1),(226,1)}
      220:{1,2,3,5}:{(209,1),(210,1),(212,1),(214,1),(225,1),(226,1),(229,1)}
      221:{1,2,6}:{(211,1),(212,1),(215,1)}
      222:{1,3,6}:{(213,1),(214,1),(215,1)}
      223:{4,5}:{(216,1),(217,1),(227,1)}
      224:{3,4,6}:{(217,1),(218,1),(219,1),(227,1),(228,1)}
      225:{1,2,3,6}:{(218,1),(220,1),(221,1),(222,1),(228,1)}
      226:{1,4}:{(219,1),(220,1)}
      227:{3,5}:{(223,1),(224,1),(229,1)}
      228:{1,4,6}:{(224,1),(225,1),(226,1),(229,1)}
      229:{1,5}:{(227,1),(228,1)}

251 :  0:{3,4,5}:{(3,1),(4,1),(5,1),(41,1),(48,1),(63,1),(68,1),(69,1)}
       1:{1,3,4}:{(6,1),(7,1),(28,1),(73,1)}
       2:{4,5,6}:{(9,1),(10,1),(34,1),(70,1)}
       3:{3,4,6}:{(0,1),(10,1),(11,1),(12,1),(34,1),(59,1)}
       4:{2,3,5}:{(0,1),(11,1),(13,1),(14,1),(36,1),(37,1)}
       5:{1,4,5}:{(0,1),(6,1),(12,1),(13,1),(28,1),(53,1)}
       6:{1,3,5}:{(1,1),(5,1),(16,1),(68,1)}
       7:{1,2,3}:{(1,1),(18,1),(78,1)}
       8:{2,3,4}:{(18,1),(19,1),(41,1)}
       9:{2,5,6}:{(2,1),(20,1),(75,1)}
      10:{3,5,6}:{(2,1),(3,1),(22,1),(63,1)}
      11:{2,3,6}:{(3,1),(4,1),(23,1),(24,1)}
      12:{1,4,6}:{(3,1),(5,1),(16,1),(22,1),(23,1)}
      13:{1,2,5}:{(4,1),(5,1),(23,1),(25,1)}
      14:{2,4}:{(4,1),(69,1)}
      15:{2,4,5}:{(20,1),(26,1),(48,1)}
      16:{1,3,6}:{(6,1),(12,1),(59,1)}
      17:{1,2,3,5}:{(6,1),(7,1),(13,1),(27,1),(28,1),(30,1),(37,1),(53,1),(55,1),(61,1)}
      18:{1,2,4}:{(7,1),(8,1),(28,1),(30,1),(74,1)}
      19:{2,3,5}:{(8,1),(29,1),(30,1),(31,1),(55,1)}
      20:{2,4,6}:{(9,1),(15,1),(32,1),(34,1),(74,1)}
      21:{2,3,5,6}:{(9,1),(10,1),(11,1),(32,1),(33,1),(34,1),(36,1),(58,1),(59,1),(61,1)}
      22:{1,5,6}:{(10,1),(12,1),(53,1)}
      23:{1,2,6}:{(11,1),(12,1),(13,1)}
      24:{2,4,6}:{(11,1),(14,1),(34,1),(36,1)}
      25:{1,2,4}:{(13,1),(14,1),(28,1),(37,1)}
      26:{2,3,5}:{(15,1),(32,1),(38,1),(39,1),(58,1)}
      27:{1,2,3,6}:{(16,1),(17,1),(23,1),(40,1),(44,1),(49,1),(65,1)}
      28:{1,4}:{(17,1),(41,1),(69,1)}
      29:{4,5}:{(19,1),(43,1)}
      30:{1,2,5}:{(18,1),(19,1),(42,1),(44,1),(75,1)}
      31:{2,3,6}:{(19,1),(43,1),(44,1),(65,1)}
      32:{2,3,6}:{(20,1),(26,1),(45,1),(46,1),(78,1)}
      33:{1,2,5,6}:{(21,1),(22,1),(23,1),(45,1),(47,1),(50,1),(67,1)}
      34:{4,6}:{(21,1),(48,1),(69,1)}
      35:{1,2,4,6}:{(23,1),(24,1),(25,1),(40,1),(47,1),(49,1),(50,1),(69,1)}
      36:{2,5}:{(24,1),(48,1)}
      37:{2,3}:{(25,1),(41,1)}
      38:{1,2,5}:{(26,1),(45,1),(51,1),(67,1)}
      39:{3,4}:{(26,1),(51,1)}
      40:{1,4,6}:{(27,1),(28,1),(52,1),(53,1)}
      41:{3,4}:{(28,1),(37,1),(55,1)}
      42:{1,4,5}:{(28,1),(29,1),(30,1),(53,1),(55,1),(56,1),(70,1)}
      43:{4,6}:{(29,1),(31,1),(54,1)}
      44:{1,2,6}:{(30,1),(31,1),(56,1),(79,1)}
      45:{1,2,6}:{(32,1),(38,1),(57,1),(80,1)}
      46:{3,4,6}:{(32,1),(34,1),(39,1),(57,1),(58,1),(59,1),(73,1)}
      47:{1,4,6}:{(33,1),(34,1),(59,1),(60,1)}
      48:{4,5}:{(34,1),(36,1),(58,1)}
      49:{2,3,6}:{(35,1),(37,1),(52,1),(59,1),(61,1),(79,1)}
      50:{1,2,5}:{(35,1),(36,1),(53,1),(60,1),(61,1),(80,1)}
      51:{1,4}:{(38,1),(39,1),(62,1)}
      52:{3,4,6}:{(40,1),(41,1),(49,1),(63,1),(65,1),(69,1),(76,1)}
      53:{1,5}:{(40,1),(63,1)}
      54:{5,6}:{(43,1)}
      55:{3,5}:{(41,1),(42,1),(65,1)}
      56:{1,4,6}:{(42,1),(43,1),(44,1),(64,1),(65,1),(76,1)}
      57:{1,4,6}:{(45,1),(46,1),(51,1),(66,1),(67,1),(77,1)}
      58:{3,5}:{(46,1),(48,1),(67,1)}
      59:{3,6}:{(47,1),(68,1)}
      60:{1,4,5}:{(47,1),(48,1),(50,1),(67,1),(68,1),(69,1),(77,1)}
      61:{2,3,5}:{(49,1),(50,1),(63,1),(68,1),(69,1),(75,1),(78,1)}
      62:{1,3}:{(51,1)}
      63:{3,5}:{(52,1),(53,1),(70,1)}
      64:{1,5,6}:{(53,1),(54,1),(56,1),(71,1)}
      65:{3,6}:{(55,1),(56,1)}
      66:{1,3,6}:{(57,1),(59,1),(62,1),(72,1)}
      67:{1,5}:{(57,1),(58,1)}
      68:{3,5}:{(59,1),(60,1),(73,1)}
      69:{4}:{(61,1)}
      70:{4,5}:{(63,1),(69,1),(75,1),(76,1)}
      71:{3,5,6}:{(63,1),(64,1),(65,1),(76,1)}
      72:{1,3,5}:{(66,1),(67,1),(68,1),(77,1)}
      73:{3,4}:{(68,1),(69,1),(77,1),(78,1)}
      74:{2,4}:{(69,1),(75,1),(78,1)}
      75:{2,5}:{(70,1),(74,1),(79,1)}
      76:{4,6}:{(70,1),(71,1),(79,1)}
      77:{1,4}:{(72,1),(73,1),(80,1)}
      78:{2,3}:{(73,1),(74,1),(80,1)}
      79:{2,6}:{(75,1),(76,1)}
      80:{1,2}:{(77,1),(78,1)}

252 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

253 :   0:{1,3,4,6}:{(1,1),(2,1),(9,1),(14,1),(30,1),(136,1),(138,1),(186,1)}
        1:{1,2,3,6}:{(0,1),(5,1),(6,1),(18,1),(46,1),(57,1),(161,1)}
        2:{1,3,5}:{(0,1),(7,1),(45,1),(163,1)}
        3:{1,3,5,6}:{(2,1),(9,1),(11,1),(185,1),(186,1)}
        4:{1,4,5,6}:{(9,1),(10,1),(11,1),(28,1),(34,1),(174,1),(176,1),(185,1)}
        5:{1,2,4,6}:{(1,1),(12,1),(13,1),(14,1),(37,1),(133,1),(135,1),(136,1)}
        6:{1,2,3,5}:{(1,1),(2,1),(13,1),(14,1),(15,1),(39,1),(40,1),(66,1)}
        7:{1,4,5}:{(2,1),(9,1),(14,1),(15,1),(16,1)}
        8:{1,2,3,5,6}:{(3,1),(6,1),(17,1),(18,1),(21,1),(23,1),(44,1),(45,1),(46,1),(50,1),(57,1),(91,1),(92,1),(93,1),(101,1),(109,1),(142,1),(151,1),(163,1),(194,1)}
        9:{1,4,6}:{(3,1),(7,1),(18,1),(19,1)}
       10:{1,2,5,6}:{(4,1),(18,1),(20,1),(21,1),(44,1),(101,1),(189,1)}
       11:{3,5,6}:{(4,1),(19,1),(45,1),(194,1)}
       12:{2,3,4,6}:{(5,1),(22,1),(26,1),(46,1),(53,1),(57,1),(94,1),(105,1),(108,1),(110,1),(143,1)}
       13:{1,2,5}:{(5,1),(22,1),(24,1),(163,1)}
       14:{1,4}:{(6,1),(26,1),(94,1)}
       15:{1,2,5}:{(7,1),(18,1),(25,1),(27,1)}
       16:{3,4,5}:{(7,1),(19,1),(26,1),(27,1),(45,1),(52,1),(94,1)}
       17:{1,4,6}:{(8,1),(14,1),(28,1),(30,1),(34,1),(120,1),(121,1)}
       18:{1,2,6}:{(9,1),(15,1),(31,1)}
       19:{3,4,6}:{(9,1),(11,1),(16,1),(31,1),(34,1)}
       20:{1,2,4,6}:{(10,1),(32,1),(33,1),(34,1),(73,1),(171,1),(176,1),(178,1)}
       21:{2,3,5,6}:{(10,1),(11,1),(31,1),(33,1),(34,1),(66,1),(70,1),(74,1)}
       22:{2,3,5}:{(12,1),(13,1),(36,1),(39,1),(137,1),(168,1)}
       23:{1,2,5,6}:{(13,1),(35,1),(37,1),(132,1),(133,1)}
       24:{1,4,5}:{(13,1),(14,1),(36,1),(37,1),(39,1)}
       25:{1,2,4}:{(14,1),(15,1),(40,1),(42,1)}
       26:{3,4}:{(14,1),(39,1),(40,1)}
       27:{2,3,5}:{(15,1),(16,1),(31,1),(40,1),(42,1),(70,1)}
       28:{1,4,5}:{(17,1),(44,1),(45,1),(52,1),(94,1),(101,1),(147,1),(163,1)}
       29:{1,2,4,6}:{(17,1),(18,1),(25,1),(44,1),(46,1),(48,1),(94,1),(142,1),(143,1),(144,1)}
       30:{3,4,6}:{(17,1),(26,1),(45,1),(46,1),(57,1),(94,1),(148,1),(194,1)}
       31:{2,3,6}:{(18,1),(19,1),(27,1),(48,1)}
       32:{1,2,4,5}:{(20,1),(44,1),(49,1),(52,1),(94,1),(99,1),(101,1),(144,1),(145,1),(149,1),(153,1)}
       33:{2,3,6}:{(20,1),(49,1),(51,1),(194,1)}
       34:{4,6}:{(21,1),(52,1),(94,1)}
       35:{2,3,5,6}:{(22,1),(23,1),(53,1),(57,1),(103,1),(104,1),(105,1)}
       36:{4,5}:{(22,1),(53,1),(94,1)}
       37:{1,4,6}:{(23,1),(24,1),(53,1),(57,1)}
       38:{1,2,4,5}:{(24,1),(25,1),(44,1),(54,1),(56,1),(58,1),(62,1),(94,1),(107,1),(111,1),(113,1),(144,1),(147,1),(149,1),(163,1),(188,1),(198,1),(213,1),(220,1)}
       39:{3,5}:{(24,1),(26,1),(57,1)}
       40:{2,3}:{(25,1),(26,1)}
       41:{1,3,4}:{(26,1),(59,1),(60,1),(111,1),(219,1)}
       42:{2,4}:{(27,1),(94,1)}
       43:{1,4,5,6}:{(28,1),(37,1),(64,1),(65,1),(75,1),(76,1),(116,1),(120,1),(130,1),(132,1),(173,1),(176,1),(180,1)}
       44:{1,2,5}:{(28,1),(29,1),(66,1),(70,1),(168,1)}
       45:{3,5}:{(28,1),(30,1)}
       46:{2,3,6}:{(29,1),(30,1),(40,1),(66,1),(169,1)}
       47:{1,3,4,6}:{(30,1),(41,1),(67,1),(68,1),(73,1),(82,1),(116,1),(121,1),(127,1),(136,1),(172,1),(179,1),(208,1)}
       48:{2,4,6}:{(31,1),(34,1),(42,1),(70,1)}
       49:{2,3,5}:{(32,1),(33,1),(72,1),(74,1),(169,1),(175,1)}
       50:{1,2,3,6}:{(33,1),(71,1),(73,1),(178,1),(179,1)}
       51:{3,4,6}:{(33,1),(34,1),(72,1),(73,1),(74,1)}
       52:{4,5}:{(34,1),(70,1),(74,1)}
       53:{4,6}:{(35,1),(36,1)}
       54:{2,4,5}:{(36,1),(77,1),(79,1),(118,1),(168,1),(181,1)}
       55:{3,4,5}:{(36,1),(39,1),(78,1),(79,1),(80,1),(84,1),(137,1),(181,1),(209,1)}
       56:{1,2,4,6}:{(37,1),(38,1),(64,1),(77,1),(81,1),(87,1),(120,1),(133,1),(136,1),(141,1),(176,1),(180,1)}
       57:{3,6}:{(37,1),(39,1)}
       58:{2,3,5}:{(38,1),(39,1),(40,1),(81,1),(84,1),(137,1),(169,1),(175,1),(209,1),(226,1)}
       59:{1,3,5}:{(39,1),(41,1),(80,1),(82,1),(209,1)}
       60:{1,2,3}:{(40,1),(41,1),(85,1),(226,1)}
       61:{2,3,4}:{(40,1),(42,1),(84,1),(85,1),(86,1),(222,1),(226,1)}
       62:{2,4,5}:{(42,1),(70,1),(86,1),(87,1),(122,1),(222,1),(229,1)}
       63:{3,4,5}:{(45,1),(88,1),(89,1),(90,1),(94,1),(147,1),(148,1),(192,1),(213,1)}
       64:{1,2,5,6}:{(43,1),(44,1),(56,1),(91,1),(97,1),(103,1),(142,1),(163,1),(188,1)}
       65:{3,5,6}:{(43,1),(45,1),(57,1),(88,1),(192,1),(194,1),(197,1)}
       66:{2,3,5}:{(44,1),(45,1),(46,1),(94,1)}
       67:{1,3,5}:{(45,1),(47,1),(90,1),(101,1),(163,1),(192,1),(218,1)}
       68:{1,2,3,6}:{(46,1),(47,1),(60,1),(93,1),(95,1),(142,1),(152,1),(187,1),(194,1)}
       69:{2,3,4,6}:{(46,1),(48,1),(51,1),(61,1),(94,1),(95,1),(96,1),(98,1),(110,1),(114,1),(143,1),(148,1),(150,1),(154,1),(187,1),(194,1),(213,1),(215,1),(227,1)}
       70:{2,5}:{(48,1),(52,1)}
       71:{1,2,3,5}:{(49,1),(50,1),(99,1),(101,1),(152,1),(153,1),(155,1)}
       72:{3,4}:{(49,1),(94,1),(99,1)}
       73:{1,4,6}:{(50,1),(51,1),(99,1),(101,1)}
       74:{3,5}:{(51,1),(52,1),(101,1)}
       75:{4,5,6}:{(52,1),(97,1),(102,1),(150,1),(228,1)}
       76:{4,5,6}:{(53,1),(103,1),(104,1),(147,1),(158,1)}
       77:{2,4,6}:{(53,1),(54,1),(103,1),(105,1),(158,1)}
       78:{3,4,6}:{(53,1),(55,1),(57,1),(104,1),(105,1),(106,1),(158,1),(197,1)}
       79:{2,3,5}:{(54,1),(55,1),(105,1),(107,1),(108,1)}
       80:{1,4,5}:{(55,1),(59,1),(106,1),(107,1),(111,1),(163,1)}
       81:{2,3,6}:{(56,1),(57,1),(58,1),(110,1),(194,1),(197,1)}
       82:{1,3,6}:{(57,1),(59,1),(106,1),(197,1)}
       83:{1,2,3,5}:{(58,1),(59,1),(60,1),(107,1),(109,1),(111,1),(113,1),(161,1),(163,1),(165,1)}
       84:{3,4}:{(58,1),(94,1),(111,1),(213,1)}
       85:{1,2,4}:{(60,1),(61,1),(111,1),(113,1)}
       86:{2,3,5}:{(61,1),(62,1),(112,1),(113,1),(114,1)}
       87:{2,4,6}:{(62,1),(97,1),(114,1),(150,1)}
       88:{3,4,6}:{(63,1),(65,1),(115,1),(116,1),(120,1)}
       89:{2,3,5}:{(63,1),(115,1),(117,1),(118,1),(168,1),(169,1)}
       90:{1,4,5}:{(63,1),(67,1),(116,1),(117,1),(121,1)}
       91:{2,3,5,6}:{(64,1),(65,1),(66,1),(81,1),(115,1),(120,1),(137,1),(168,1),(202,1)}
       92:{1,3,5,6}:{(65,1),(67,1),(82,1),(116,1),(130,1),(132,1),(179,1)}
       93:{1,2,3,5}:{(66,1),(67,1),(68,1),(117,1),(121,1),(123,1),(169,1),(175,1),(202,1)}
       94:{4}:{(66,1)}
       95:{1,2,4,6}:{(68,1),(69,1),(73,1),(85,1),(121,1),(123,1),(125,1),(136,1),(141,1),(176,1),(178,1),(208,1)}
       96:{2,3,5}:{(69,1),(70,1),(74,1),(122,1),(123,1),(137,1),(168,1),(175,1),(224,1),(229,1)}
       97:{2,5,6}:{(70,1),(75,1),(87,1),(229,1)}
       98:{2,3,4}:{(72,1),(118,1),(125,1),(126,1),(169,1),(204,1)}
       99:{1,4}:{(71,1),(72,1)}
      100:{3,4,5}:{(72,1),(74,1),(122,1),(126,1),(128,1),(129,1),(175,1),(204,1),(224,1)}
      101:{1,5}:{(73,1),(74,1)}
      102:{3,5,6}:{(74,1),(75,1),(129,1),(130,1),(224,1)}
      103:{2,5,6}:{(76,1),(77,1),(168,1)}
      104:{3,5,6}:{(76,1),(78,1),(132,1),(137,1)}
      105:{2,3,6}:{(77,1),(78,1),(79,1),(133,1)}
      106:{1,4,6}:{(78,1),(80,1),(82,1),(132,1),(133,1)}
      107:{1,2,5}:{(79,1),(80,1),(133,1),(135,1)}
      108:{2,3,4}:{(79,1),(84,1),(118,1),(135,1),(169,1)}
      109:{1,2,3,6}:{(81,1),(82,1),(83,1),(133,1),(136,1),(141,1),(186,1)}
      110:{3,4,6}:{(81,1),(84,1),(120,1),(136,1),(137,1)}
      111:{1,4}:{(83,1),(84,1)}
      112:{3,4,5}:{(84,1),(86,1),(122,1),(137,1),(139,1),(140,1),(175,1)}
      113:{1,2,5}:{(85,1),(86,1),(139,1),(141,1)}
      114:{2,3,6}:{(86,1),(87,1),(140,1),(141,1)}
      115:{2,3,6}:{(88,1),(89,1),(142,1),(143,1)}
      116:{1,4,6}:{(88,1),(90,1),(92,1),(142,1)}
      117:{1,2,5}:{(89,1),(90,1),(142,1),(144,1)}
      118:{2,4}:{(89,1),(94,1),(213,1)}
      119:{1,2,3,5,6}:{(91,1),(92,1),(93,1),(109,1),(142,1),(146,1),(151,1),(157,1),(163,1),(187,1),(188,1),(192,1),(194,1),(196,1),(197,1),(199,1),(201,1),(214,1),(218,1),(221,1)}
      120:{4,6}:{(91,1),(94,1),(147,1),(213,1)}
      121:{1,4}:{(93,1),(94,1),(148,1),(213,1)}
      122:{4,5}:{(94,1),(96,1),(150,1),(213,1)}
      123:{1,2,5}:{(95,1),(96,1),(101,1),(149,1),(163,1),(218,1)}
      124:{2,3,5,6}:{(96,1),(97,1),(102,1),(114,1),(150,1),(151,1),(154,1),(164,1),(189,1),(194,1)}
      125:{1,2,4}:{(98,1),(99,1),(152,1),(153,1),(195,1)}
      126:{2,3,5}:{(98,1),(100,1),(145,1),(153,1),(154,1)}
      127:{1,3,4}:{(99,1),(148,1),(152,1),(155,1),(195,1)}
      128:{1,4,5}:{(99,1),(100,1),(101,1),(153,1),(155,1),(156,1),(195,1),(218,1)}
      129:{3,4,6}:{(100,1),(102,1),(150,1),(154,1),(156,1),(194,1)}
      130:{1,5,6}:{(101,1),(102,1),(156,1),(218,1)}
      131:{2,3,5,6}:{(103,1),(104,1),(105,1),(157,1),(158,1),(160,1),(197,1)}
      132:{1,5,6}:{(104,1),(106,1),(163,1)}
      133:{1,2,6}:{(105,1),(106,1),(107,1)}
      134:{2,3,4,6}:{(105,1),(108,1),(110,1),(143,1),(158,1),(159,1),(160,1),(187,1),(197,1),(213,1),(219,1)}
      135:{1,2,4}:{(107,1),(108,1),(111,1),(161,1)}
      136:{1,4,6}:{(109,1),(110,1),(111,1),(163,1)}
      137:{3,5}:{(110,1),(147,1),(163,1)}
      138:{1,3,4}:{(111,1),(148,1),(161,1),(165,1)}
      139:{1,4,5}:{(111,1),(112,1),(113,1),(163,1),(165,1),(166,1)}
      140:{3,4,6}:{(112,1),(114,1),(150,1),(164,1),(166,1),(194,1)}
      141:{1,2,6}:{(113,1),(114,1),(166,1)}
      142:{1,2,6}:{(115,1),(116,1),(117,1)}
      143:{2,4,6}:{(115,1),(118,1),(120,1),(168,1)}
      144:{1,2,4}:{(117,1),(118,1),(121,1),(169,1)}
      145:{2,4,5}:{(118,1),(122,1),(126,1),(168,1),(171,1)}
      146:{1,4,6}:{(119,1),(120,1),(121,1),(172,1),(173,1),(210,1),(223,1)}
      147:{4,5}:{(120,1),(137,1),(168,1)}
      148:{3,4}:{(121,1),(169,1),(175,1)}
      149:{1,4,5}:{(121,1),(122,1),(123,1),(175,1),(176,1)}
      150:{4,6}:{(122,1),(124,1)}
      151:{1,2,5,6}:{(123,1),(124,1),(130,1),(141,1),(176,1),(178,1),(185,1)}
      152:{1,2,3}:{(125,1),(127,1),(169,1)}
      153:{1,2,5}:{(125,1),(126,1),(128,1),(178,1)}
      154:{2,3,6}:{(126,1),(129,1),(171,1),(178,1)}
      155:{1,3,5}:{(127,1),(128,1),(175,1),(179,1)}
      156:{1,4,6}:{(128,1),(129,1),(130,1),(178,1),(179,1)}
      157:{1,2,5,6}:{(131,1),(132,1),(133,1),(180,1),(183,1)}
      158:{4,6}:{(131,1),(181,1)}
      159:{1,2,4,6}:{(133,1),(134,1),(135,1),(136,1),(180,1),(182,1),(183,1),(210,1)}
      160:{2,3,5}:{(134,1),(137,1),(168,1),(181,1),(183,1),(209,1)}
      161:{1,2,3}:{(135,1),(138,1),(169,1)}
      162:{1,3,4,6}:{(136,1),(138,1),(172,1),(182,1),(184,1),(186,1),(210,1),(212,1)}
      163:{1,5}:{(136,1),(137,1)}
      164:{3,5,6}:{(137,1),(140,1),(174,1),(185,1)}
      165:{1,3,5}:{(138,1),(139,1),(175,1),(186,1)}
      166:{1,4,6}:{(139,1),(140,1),(141,1),(185,1),(186,1)}
      167:{1,2,4,6}:{(142,1),(143,1),(144,1),(146,1),(187,1),(188,1),(213,1),(220,1),(221,1),(227,1)}
      168:{2,5}:{(143,1),(147,1)}
      169:{2,3}:{(144,1),(148,1)}
      170:{1,2,4,5}:{(144,1),(145,1),(149,1),(153,1),(188,1),(190,1),(191,1),(195,1),(213,1),(218,1),(228,1)}
      171:{2,4,6}:{(145,1),(150,1),(154,1),(189,1)}
      172:{3,4,6}:{(146,1),(148,1),(187,1),(192,1),(194,1),(197,1),(213,1),(219,1)}
      173:{1,4,5}:{(146,1),(147,1),(163,1),(188,1),(192,1),(213,1),(218,1),(228,1)}
      174:{4,5,6}:{(147,1),(150,1),(164,1),(189,1)}
      175:{3,5}:{(148,1),(149,1),(194,1)}
      176:{1,4,6}:{(149,1),(150,1),(151,1),(194,1)}
      177:{1,2,3,5}:{(152,1),(153,1),(155,1),(190,1),(195,1),(196,1),(218,1)}
      178:{1,2,6}:{(153,1),(154,1),(156,1)}
      179:{1,3,6}:{(155,1),(156,1),(194,1)}
      180:{1,4,6}:{(157,1),(158,1),(197,1),(198,1)}
      181:{4,5}:{(158,1),(160,1),(213,1)}
      182:{1,2,3,6}:{(159,1),(161,1),(162,1),(187,1),(197,1),(199,1),(221,1)}
      183:{1,2,5}:{(159,1),(160,1),(163,1),(198,1)}
      184:{1,3,5}:{(162,1),(163,1),(192,1),(200,1)}
      185:{1,5,6}:{(163,1),(164,1),(166,1)}
      186:{1,3,6}:{(165,1),(166,1),(194,1)}
      187:{2,3,6}:{(167,1),(169,1),(172,1),(202,1),(226,1)}
      188:{1,2,5}:{(167,1),(168,1),(173,1),(202,1),(229,1)}
      189:{2,5,6}:{(168,1),(171,1),(174,1)}
      190:{2,3,5}:{(169,1),(170,1),(175,1),(204,1),(205,1),(224,1)}
      191:{1,2,4,6}:{(170,1),(171,1),(176,1),(178,1),(203,1),(205,1),(208,1),(223,1)}
      192:{3,5}:{(172,1),(173,1)}
      193:{1,4,5,6}:{(173,1),(174,1),(176,1),(185,1),(203,1),(207,1),(212,1),(223,1)}
      194:{3,6}:{(175,1),(176,1)}
      195:{1,4}:{(177,1),(204,1)}
      196:{1,2,3,6}:{(177,1),(178,1),(179,1),(205,1),(208,1)}
      197:{3,6}:{(180,1),(209,1)}
      198:{1,4,5}:{(180,1),(181,1),(183,1),(209,1),(210,1)}
      199:{1,2,3,5}:{(182,1),(183,1),(184,1),(202,1),(209,1),(210,1),(211,1),(226,1)}
      200:{1,4,5}:{(184,1),(206,1),(210,1),(211,1),(212,1)}
      201:{1,3,5,6}:{(184,1),(185,1),(186,1),(207,1),(212,1)}
      202:{2,3,5}:{(187,1),(188,1),(192,1),(213,1)}
      203:{1,2,5,6}:{(188,1),(189,1),(191,1),(193,1),(214,1),(218,1),(221,1)}
      204:{3,4}:{(190,1),(195,1),(213,1)}
      205:{2,3,6}:{(190,1),(191,1),(194,1),(215,1)}
      206:{3,4,5}:{(192,1),(200,1),(213,1),(216,1),(217,1),(219,1),(228,1)}
      207:{3,5,6}:{(192,1),(193,1),(194,1),(217,1)}
      208:{1,4,6}:{(195,1),(196,1),(215,1),(218,1)}
      209:{3,5}:{(197,1),(198,1),(219,1)}
      210:{1,4}:{(199,1),(213,1),(219,1)}
      211:{1,2,5}:{(200,1),(216,1),(220,1),(221,1)}
      212:{1,4,6}:{(200,1),(201,1),(217,1),(221,1)}
      213:{4}:{(202,1)}
      214:{2,3,5,6}:{(202,1),(203,1),(205,1),(207,1),(223,1),(224,1),(225,1),(229,1)}
      215:{3,4,6}:{(204,1),(205,1),(208,1),(223,1),(224,1)}
      216:{2,3,5}:{(206,1),(211,1),(222,1),(225,1),(226,1),(229,1)}
      217:{3,4,6}:{(206,1),(207,1),(212,1),(223,1),(225,1)}
      218:{1,5}:{(208,1),(224,1)}
      219:{3,4}:{(209,1),(210,1),(226,1)}
      220:{1,2,4}:{(210,1),(211,1),(222,1),(226,1)}
      221:{1,2,6}:{(211,1),(212,1),(225,1)}
      222:{2,4}:{(213,1),(216,1)}
      223:{4,6}:{(213,1),(214,1),(228,1)}
      224:{3,5}:{(215,1),(218,1),(228,1)}
      225:{2,3,6}:{(216,1),(217,1),(221,1),(227,1)}
      226:{2,3}:{(219,1),(220,1)}
      227:{2,4,6}:{(222,1),(223,1),(225,1),(229,1)}
      228:{4,5}:{(223,1),(224,1),(229,1)}
      229:{2,5}:{(227,1),(228,1)}

254 :   0:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(8,1),(23,1),(24,1),(25,1),(43,1),(47,1),(56,1),(81,1),(92,1)}
        1:{1,4,6}:{(0,1),(2,1),(4,1),(37,1),(38,1)}
        2:{1,4,5}:{(1,1),(6,1),(7,1),(26,1),(52,1),(81,1)}
        3:{1,2,4,6}:{(1,1),(6,1),(8,1),(26,1),(47,1),(48,1),(49,1)}
        4:{3,4,6}:{(1,1),(7,1),(8,1),(26,1),(53,1),(92,1)}
        5:{1,4,5,6}:{(2,1),(12,1),(13,1),(33,1),(37,1),(71,1),(72,1),(74,1),(100,1),(122,1)}
        6:{1,2,5}:{(2,1),(3,1),(14,1),(66,1)}
        7:{3,5}:{(2,1),(4,1)}
        8:{2,3,6}:{(3,1),(4,1),(14,1),(67,1)}
        9:{1,3,4,6}:{(4,1),(15,1),(16,1),(33,1),(38,1),(60,1),(62,1),(70,1),(101,1),(125,1)}
       10:{1,2,4,5}:{(6,1),(18,1),(19,1),(26,1),(45,1),(49,1),(50,1),(52,1),(54,1),(78,1),(81,1),(86,1),(108,1),(116,1),(134,1)}
       11:{3,4,5}:{(7,1),(20,1),(21,1),(22,1),(26,1),(52,1),(53,1),(90,1),(116,1)}
       12:{1,2,5,6}:{(5,1),(6,1),(18,1),(23,1),(47,1),(81,1),(86,1),(87,1)}
       13:{3,5,6}:{(5,1),(7,1),(20,1),(90,1),(92,1),(133,1)}
       14:{2,3,5}:{(6,1),(7,1),(8,1),(26,1)}
       15:{1,3,5}:{(7,1),(9,1),(22,1),(81,1),(90,1),(136,1)}
       16:{1,2,3,6}:{(8,1),(9,1),(25,1),(27,1),(47,1),(77,1),(85,1),(92,1)}
       17:{2,3,4,6}:{(8,1),(26,1),(27,1),(28,1),(42,1),(44,1),(48,1),(53,1),(55,1),(79,1),(85,1),(92,1),(116,1),(118,1),(138,1)}
       18:{1,2,4,6}:{(10,1),(12,1),(29,1),(37,1),(60,1),(69,1),(74,1),(98,1),(122,1)}
       19:{2,3,5}:{(10,1),(29,1),(31,1),(61,1),(67,1),(73,1),(121,1),(140,1)}
       20:{3,4,6}:{(11,1),(13,1),(32,1),(33,1),(37,1)}
       21:{2,3,5}:{(11,1),(32,1),(34,1),(35,1),(66,1),(67,1)}
       22:{1,4,5}:{(11,1),(15,1),(33,1),(34,1),(38,1)}
       23:{2,3,5,6}:{(12,1),(13,1),(14,1),(29,1),(32,1),(37,1),(61,1),(66,1),(102,1)}
       24:{1,3,5,6}:{(13,1),(15,1),(33,1),(100,1),(101,1)}
       25:{1,2,3,5}:{(14,1),(15,1),(16,1),(34,1),(38,1),(40,1),(67,1),(73,1),(102,1)}
       26:{4}:{(14,1)}
       27:{1,2,4,6}:{(16,1),(17,1),(38,1),(40,1),(58,1),(60,1),(74,1),(98,1),(125,1)}
       28:{2,3,5}:{(17,1),(39,1),(40,1),(61,1),(66,1),(73,1),(130,1),(144,1)}
       29:{2,3,6}:{(18,1),(19,1),(44,1),(92,1),(133,1)}
       30:{1,2,3,5}:{(19,1),(43,1),(45,1),(77,1),(78,1),(81,1),(83,1)}
       31:{3,4}:{(19,1),(26,1),(45,1),(116,1)}
       32:{2,3,6}:{(20,1),(21,1),(47,1),(48,1)}
       33:{1,4,6}:{(20,1),(22,1),(24,1),(47,1)}
       34:{1,2,5}:{(21,1),(22,1),(47,1),(49,1)}
       35:{2,4}:{(21,1),(26,1),(116,1)}
       36:{1,2,3,5,6}:{(23,1),(24,1),(25,1),(43,1),(47,1),(51,1),(56,1),(81,1),(85,1),(86,1),(90,1),(92,1),(110,1),(111,1),(113,1),(115,1),(117,1),(133,1),(136,1),(137,1)}
       37:{4,6}:{(23,1),(26,1),(52,1),(116,1)}
       38:{1,4}:{(25,1),(26,1),(53,1),(116,1)}
       39:{4,5}:{(26,1),(28,1),(55,1),(116,1)}
       40:{1,2,5}:{(27,1),(28,1),(54,1),(81,1),(136,1)}
       41:{2,3,5,6}:{(28,1),(55,1),(56,1),(79,1),(82,1),(87,1),(92,1)}
       42:{2,3,4}:{(31,1),(35,1),(58,1),(59,1),(67,1),(104,1),(128,1),(140,1)}
       43:{1,2,3,6}:{(29,1),(30,1),(60,1),(98,1),(101,1)}
       44:{3,4,6}:{(29,1),(31,1),(37,1),(60,1),(61,1)}
       45:{1,4}:{(30,1),(31,1)}
       46:{3,4,5}:{(31,1),(39,1),(59,1),(61,1),(63,1),(64,1),(73,1),(93,1),(104,1),(121,1),(130,1)}
       47:{1,2,6}:{(32,1),(33,1),(34,1)}
       48:{2,4,6}:{(32,1),(35,1),(37,1),(66,1)}
       49:{1,2,4}:{(34,1),(35,1),(38,1),(67,1)}
       50:{2,4,5}:{(35,1),(39,1),(59,1),(66,1),(69,1),(93,1),(128,1),(144,1)}
       51:{1,4,6}:{(36,1),(37,1),(38,1),(70,1),(71,1),(123,1),(129,1)}
       52:{4,5}:{(37,1),(61,1),(66,1)}
       53:{3,4}:{(38,1),(67,1),(73,1)}
       54:{1,4,5}:{(38,1),(39,1),(40,1),(73,1),(74,1)}
       55:{4,6}:{(39,1),(41,1)}
       56:{1,2,5,6}:{(40,1),(41,1),(74,1),(98,1),(100,1)}
       57:{2,3,4,6}:{(42,1),(44,1),(48,1),(75,1),(76,1),(79,1),(85,1),(109,1),(116,1),(118,1),(132,1),(133,1),(138,1),(145,1),(149,1)}
       58:{1,2,4}:{(42,1),(45,1),(77,1),(78,1),(112,1)}
       59:{2,3,5}:{(42,1),(46,1),(50,1),(78,1),(79,1)}
       60:{1,4,6}:{(43,1),(44,1),(45,1),(81,1)}
       61:{3,5}:{(44,1),(52,1),(81,1)}
       62:{1,3,4}:{(45,1),(53,1),(77,1),(83,1),(112,1),(132,1)}
       63:{1,4,5}:{(45,1),(46,1),(78,1),(81,1),(83,1),(84,1),(112,1),(136,1)}
       64:{3,4,6}:{(46,1),(55,1),(79,1),(82,1),(84,1),(92,1),(109,1),(133,1)}
       65:{1,2,4,6}:{(47,1),(48,1),(49,1),(51,1),(85,1),(86,1),(116,1),(134,1),(137,1),(138,1)}
       66:{2,5}:{(48,1),(52,1)}
       67:{2,3}:{(49,1),(53,1)}
       68:{1,2,4,5}:{(49,1),(50,1),(54,1),(78,1),(86,1),(88,1),(89,1),(108,1),(112,1),(116,1),(134,1),(136,1),(139,1),(147,1),(149,1)}
       69:{2,4,6}:{(50,1),(55,1),(79,1),(87,1),(109,1)}
       70:{3,4,6}:{(51,1),(53,1),(85,1),(90,1),(92,1),(116,1),(132,1),(133,1)}
       71:{1,4,5}:{(51,1),(52,1),(81,1),(86,1),(90,1),(116,1),(136,1),(139,1)}
       72:{4,5,6}:{(52,1),(55,1),(82,1),(87,1),(109,1),(139,1)}
       73:{3,5}:{(53,1),(54,1),(92,1)}
       74:{1,4,6}:{(54,1),(55,1),(56,1),(92,1)}
       75:{1,2,4,6}:{(57,1),(58,1),(60,1),(94,1),(95,1),(98,1),(122,1),(123,1),(125,1)}
       76:{2,3,5}:{(57,1),(61,1),(66,1),(93,1),(95,1),(121,1),(130,1),(144,1)}
       77:{1,2,3}:{(58,1),(62,1),(67,1),(140,1)}
       78:{1,2,5}:{(58,1),(59,1),(63,1),(98,1)}
       79:{2,3,6}:{(59,1),(64,1),(69,1),(98,1)}
       80:{1,3,4,6}:{(60,1),(62,1),(70,1),(94,1),(99,1),(101,1),(123,1),(125,1),(127,1),(141,1)}
       81:{1,5}:{(60,1),(61,1)}
       82:{3,5,6}:{(61,1),(64,1),(72,1),(100,1),(130,1)}
       83:{1,3,5}:{(62,1),(63,1),(73,1),(101,1),(121,1)}
       84:{1,4,6}:{(63,1),(64,1),(98,1),(100,1),(101,1)}
       85:{2,3,6}:{(65,1),(67,1),(70,1),(102,1),(140,1)}
       86:{1,2,5}:{(65,1),(66,1),(71,1),(102,1),(144,1)}
       87:{2,5,6}:{(66,1),(69,1),(72,1),(144,1)}
       88:{2,3,5}:{(67,1),(68,1),(73,1),(104,1),(105,1),(121,1),(130,1),(140,1)}
       89:{1,2,4,6}:{(68,1),(69,1),(74,1),(98,1),(103,1),(105,1),(122,1),(125,1),(129,1)}
       90:{3,5}:{(70,1),(71,1)}
       91:{1,4,5,6}:{(71,1),(72,1),(74,1),(100,1),(103,1),(107,1),(122,1),(127,1),(129,1),(143,1)}
       92:{3,6}:{(73,1),(74,1)}
       93:{4,5}:{(76,1),(109,1),(116,1),(149,1)}
       94:{1,2,3,6}:{(75,1),(77,1),(80,1),(85,1),(110,1),(133,1),(137,1),(145,1)}
       95:{1,2,5}:{(75,1),(76,1),(81,1),(108,1),(136,1)}
       96:{2,3,5,6}:{(76,1),(79,1),(82,1),(87,1),(109,1),(111,1),(133,1)}
       97:{1,2,3,5}:{(77,1),(78,1),(83,1),(88,1),(112,1),(113,1),(136,1)}
       98:{1,2,6}:{(78,1),(79,1),(84,1)}
       99:{1,3,5}:{(80,1),(81,1),(90,1),(114,1),(136,1),(146,1)}
      100:{1,5,6}:{(81,1),(82,1),(84,1),(136,1)}
      101:{1,3,6}:{(83,1),(84,1),(92,1),(133,1)}
      102:{2,3,5}:{(85,1),(86,1),(90,1),(116,1)}
      103:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(117,1),(136,1),(137,1),(147,1)}
      104:{3,4}:{(88,1),(112,1),(116,1),(149,1)}
      105:{2,3,6}:{(88,1),(89,1),(92,1),(118,1),(133,1)}
      106:{3,4,5}:{(90,1),(114,1),(116,1),(119,1),(120,1),(132,1),(139,1),(146,1),(149,1)}
      107:{3,5,6}:{(90,1),(91,1),(92,1),(120,1),(133,1),(146,1)}
      108:{1,4,5}:{(93,1),(95,1),(121,1),(122,1),(123,1)}
      109:{4,6}:{(93,1),(96,1)}
      110:{1,2,3,5}:{(94,1),(95,1),(99,1),(102,1),(121,1),(123,1),(126,1),(140,1),(148,1)}
      111:{1,2,5,6}:{(95,1),(96,1),(98,1),(100,1),(122,1)}
      112:{1,4}:{(97,1),(104,1)}
      113:{1,2,3,6}:{(97,1),(98,1),(101,1),(105,1),(125,1)}
      114:{1,4,5}:{(99,1),(106,1),(123,1),(126,1),(127,1)}
      115:{1,3,5,6}:{(99,1),(100,1),(101,1),(107,1),(127,1)}
      116:{4}:{(102,1)}
      117:{2,3,5,6}:{(102,1),(103,1),(105,1),(107,1),(129,1),(130,1),(131,1),(144,1),(148,1)}
      118:{3,4,6}:{(104,1),(105,1),(125,1),(129,1),(130,1)}
      119:{2,3,5}:{(106,1),(126,1),(128,1),(131,1),(140,1),(144,1)}
      120:{3,4,6}:{(106,1),(107,1),(127,1),(129,1),(131,1)}
      121:{3,5}:{(108,1),(132,1),(133,1)}
      122:{1,4,6}:{(108,1),(109,1),(111,1),(133,1)}
      123:{1,4}:{(110,1),(116,1),(132,1),(149,1)}
      124:{1,2,3,5,6}:{(110,1),(111,1),(113,1),(115,1),(117,1),(133,1),(135,1),(136,1),(137,1),(145,1),(146,1),(147,1)}
      125:{1,4,6}:{(112,1),(113,1),(118,1),(136,1)}
      126:{1,2,5}:{(114,1),(119,1),(134,1),(137,1)}
      127:{1,4,6}:{(114,1),(115,1),(120,1),(137,1)}
      128:{2,4}:{(116,1),(119,1),(149,1)}
      129:{4,6}:{(116,1),(117,1),(139,1),(149,1)}
      130:{3,5}:{(118,1),(136,1),(139,1)}
      131:{2,3,6}:{(119,1),(120,1),(137,1),(138,1)}
      132:{3,4}:{(121,1),(123,1),(140,1)}
      133:{3,6}:{(121,1),(122,1)}
      134:{1,2,4}:{(123,1),(126,1),(128,1),(140,1)}
      135:{1,4,6}:{(123,1),(124,1),(129,1),(141,1),(143,1)}
      136:{1,5}:{(125,1),(130,1)}
      137:{1,2,6}:{(126,1),(127,1),(131,1)}
      138:{2,4,6}:{(128,1),(129,1),(131,1),(144,1)}
      139:{4,5}:{(129,1),(130,1),(144,1)}
      140:{2,3}:{(132,1),(134,1)}
      141:{3,4,6}:{(132,1),(133,1),(135,1),(145,1),(146,1),(149,1)}
      142:{1,2,4,6}:{(134,1),(135,1),(137,1),(138,1),(145,1),(147,1),(149,1)}
      143:{1,4,5}:{(135,1),(136,1),(139,1),(146,1),(147,1),(149,1)}
      144:{2,5}:{(138,1),(139,1)}
      145:{2,3,6}:{(140,1),(141,1),(142,1),(148,1)}
      146:{3,5}:{(141,1),(143,1)}
      147:{1,2,5}:{(142,1),(143,1),(144,1),(148,1)}
      148:{2,3,5}:{(145,1),(146,1),(147,1),(149,1)}
      149:{4}:{(148,1)}

255 :  0:{2,4,5}:{(1,1),(2,1),(21,1)}
       1:{2,3,5}:{(0,1),(3,1),(4,1),(5,1),(15,1)}
       2:{2,4,6}:{(0,1),(5,1),(6,1),(16,1),(57,1)}
       3:{1,2,5}:{(1,1),(7,1),(8,1),(19,1)}
       4:{3,4}:{(1,1),(7,1)}
       5:{2,3,6}:{(1,1),(2,1),(8,1),(9,1),(49,1)}
       6:{2,5,6}:{(2,1),(11,1),(64,1)}
       7:{1,4}:{(3,1),(4,1),(12,1)}
       8:{1,2,6}:{(3,1),(5,1),(13,1),(41,1)}
       9:{3,4,6}:{(4,1),(5,1),(13,1),(15,1),(16,1),(28,1),(42,1)}
      10:{2,3,5,6}:{(5,1),(6,1),(14,1),(15,1),(16,1),(17,1),(28,1),(29,1),(31,1),(43,1)}
      11:{4,5,6}:{(6,1),(16,1),(17,1),(59,1)}
      12:{1,3}:{(7,1)}
      13:{1,4,6}:{(7,1),(8,1),(9,1),(18,1),(19,1),(33,1)}
      14:{1,2,5,6}:{(8,1),(10,1),(19,1),(20,1),(24,1),(34,1),(40,1)}
      15:{3,5}:{(9,1),(19,1),(21,1)}
      16:{4,6}:{(10,1),(21,1),(52,1)}
      17:{3,5,6}:{(11,1),(23,1),(24,1),(54,1)}
      18:{1,3,6}:{(12,1),(13,1),(25,1),(28,1)}
      19:{1,5}:{(13,1),(15,1)}
      20:{1,4,6}:{(14,1),(16,1),(26,1),(28,1)}
      21:{4,5}:{(15,1),(16,1),(29,1)}
      22:{2,4,6}:{(16,1),(29,1),(31,1),(48,1)}
      23:{3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1),(32,1)}
      24:{1,5,6}:{(17,1),(32,1),(60,1)}
      25:{1,3,5}:{(18,1),(19,1),(33,1),(35,1)}
      26:{1,4,5}:{(19,1),(20,1),(21,1),(33,1),(34,1),(35,1),(52,1)}
      27:{1,2,4,6}:{(20,1),(22,1),(34,1),(36,1),(40,1),(52,1),(53,1),(55,1)}
      28:{3,6}:{(20,1),(35,1)}
      29:{2,5}:{(21,1),(22,1)}
      30:{3,4,5}:{(21,1),(23,1),(35,1),(38,1),(39,1),(52,1),(54,1),(65,1)}
      31:{2,3,6}:{(22,1),(23,1),(38,1),(40,1)}
      32:{1,4,6}:{(23,1),(24,1),(37,1),(39,1),(40,1)}
      33:{1,4}:{(25,1),(41,1),(42,1)}
      34:{1,2,5}:{(26,1),(27,1),(29,1),(41,1),(43,1),(60,1)}
      35:{3,5}:{(26,1),(28,1),(42,1)}
      36:{2,3,6}:{(27,1),(28,1),(43,1),(46,1),(62,1),(71,1)}
      37:{1,3,6}:{(28,1),(32,1),(44,1)}
      38:{2,3,5}:{(29,1),(30,1),(31,1),(47,1),(48,1),(62,1)}
      39:{1,4,5}:{(30,1),(32,1),(44,1),(47,1),(58,1),(60,1)}
      40:{1,2,6}:{(31,1),(32,1),(47,1)}
      41:{1,2}:{(33,1),(49,1)}
      42:{3,4}:{(33,1),(35,1),(49,1),(52,1)}
      43:{2,3,5}:{(34,1),(35,1),(36,1),(49,1),(52,1),(54,1),(64,1)}
      44:{1,3,5}:{(35,1),(37,1),(39,1),(50,1)}
      45:{1,2,3,6}:{(36,1),(37,1),(40,1),(51,1),(53,1),(75,1),(76,1)}
      46:{3,4,6}:{(36,1),(52,1),(53,1),(54,1),(65,1),(67,1),(76,1)}
      47:{1,2,5}:{(38,1),(39,1),(40,1),(55,1)}
      48:{2,4}:{(38,1),(52,1)}
      49:{2,3}:{(41,1),(42,1),(57,1)}
      50:{1,3,4}:{(42,1),(44,1),(56,1),(58,1)}
      51:{1,2,3,5}:{(43,1),(44,1),(45,1),(47,1),(56,1),(58,1),(60,1),(62,1),(70,1),(72,1)}
      52:{4}:{(43,1)}
      53:{1,4,6}:{(45,1),(46,1),(58,1),(60,1)}
      54:{3,5}:{(46,1),(59,1),(60,1)}
      55:{1,2,4}:{(47,1),(48,1),(58,1),(62,1)}
      56:{1,2,3}:{(49,1),(50,1),(63,1)}
      57:{2,4}:{(49,1),(52,1),(64,1)}
      58:{1,4}:{(51,1),(52,1),(65,1)}
      59:{4,5}:{(52,1),(54,1),(64,1),(67,1)}
      60:{1,5}:{(53,1),(54,1)}
      61:{3,5,6}:{(54,1),(67,1),(68,1),(76,1)}
      62:{2,3}:{(55,1),(65,1)}
      63:{1,2,4}:{(56,1),(57,1),(58,1),(69,1),(70,1)}
      64:{2,5}:{(57,1),(59,1),(71,1)}
      65:{3,4}:{(58,1),(62,1),(72,1)}
      66:{1,4,5}:{(58,1),(59,1),(60,1),(70,1),(72,1),(73,1),(77,1)}
      67:{4,6}:{(59,1),(61,1),(71,1)}
      68:{1,5,6}:{(60,1),(61,1),(73,1),(80,1)}
      69:{2,3,4}:{(63,1),(65,1),(74,1)}
      70:{1,2,5}:{(63,1),(64,1),(66,1),(74,1),(75,1)}
      71:{2,6}:{(64,1),(67,1)}
      72:{3,5}:{(65,1),(66,1),(76,1)}
      73:{1,4,6}:{(66,1),(67,1),(68,1),(75,1),(76,1),(79,1)}
      74:{2,3,5}:{(69,1),(70,1),(72,1),(77,1),(78,1)}
      75:{1,2,6}:{(70,1),(71,1),(73,1),(78,1)}
      76:{3,6}:{(72,1),(73,1)}
      77:{4,5}:{(74,1),(79,1)}
      78:{2,3,6}:{(74,1),(75,1),(76,1),(79,1)}
      79:{4,6}:{(77,1),(78,1),(80,1)}
      80:{5,6}:{(79,1)}

256 :  0:{2,4,6}:{(4,1),(5,1),(9,1),(21,1),(44,1),(51,1),(55,1)}
       1:{3,4,6}:{(4,1),(6,1),(7,1),(19,1),(21,1),(26,1),(38,1),(40,1),(51,1)}
       2:{1,3,6}:{(6,1),(8,1),(38,1),(40,1)}
       3:{2,5,6}:{(5,1),(9,1),(55,1),(60,1)}
       4:{2,3,6}:{(0,1),(1,1),(11,1),(12,1),(17,1),(29,1),(36,1)}
       5:{2,5}:{(0,1),(13,1),(56,1)}
       6:{1,4,6}:{(1,1),(2,1),(11,1),(14,1),(16,1),(30,1)}
       7:{3,5}:{(1,1),(14,1),(15,1),(56,1)}
       8:{1,3,5}:{(2,1),(14,1),(16,1),(35,1)}
       9:{4,6}:{(3,1),(13,1),(17,1)}
      10:{3,5,6}:{(7,1),(18,1),(19,1),(38,1)}
      11:{1,2,6}:{(4,1),(6,1),(20,1),(25,1),(27,1)}
      12:{2,3,5}:{(4,1),(5,1),(7,1),(20,1),(21,1),(22,1),(24,1),(40,1),(41,1)}
      13:{4,5}:{(5,1),(9,1),(21,1),(22,1)}
      14:{1,5}:{(6,1),(7,1)}
      15:{4,5}:{(7,1),(19,1),(21,1),(24,1)}
      16:{1,4}:{(8,1),(25,1),(26,1)}
      17:{3,6}:{(9,1),(22,1),(27,1)}
      18:{1,5,6}:{(10,1),(14,1),(28,1),(56,1)}
      19:{4,6}:{(10,1),(15,1),(29,1)}
      20:{1,2,5}:{(11,1),(12,1),(14,1),(30,1),(33,1),(48,1)}
      21:{4}:{(12,1)}
      22:{3,5}:{(13,1),(17,1),(32,1),(33,1)}
      23:{1,4,5}:{(14,1),(15,1),(16,1),(28,1),(30,1),(34,1),(35,1),(49,1),(56,1)}
      24:{2,5}:{(15,1),(29,1),(31,1)}
      25:{1,2}:{(16,1),(36,1)}
      26:{3,4}:{(16,1),(35,1),(36,1),(49,1)}
      27:{1,6}:{(17,1),(33,1)}
      28:{1,4,6}:{(18,1),(19,1),(23,1),(37,1),(38,1),(51,1)}
      29:{2,6}:{(19,1),(24,1)}
      30:{1,4}:{(20,1),(21,1),(40,1)}
      31:{2,4}:{(21,1),(24,1),(41,1)}
      32:{3,4}:{(21,1),(22,1),(40,1),(41,1),(42,1)}
      33:{1,5}:{(22,1),(27,1),(42,1)}
      34:{1,2,5}:{(23,1),(24,1),(25,1),(37,1),(39,1),(43,1),(61,1)}
      35:{3,5}:{(23,1),(26,1),(38,1),(40,1)}
      36:{2,3}:{(25,1),(26,1),(44,1)}
      37:{1,2,6}:{(28,1),(29,1),(34,1),(45,1),(63,1)}
      38:{3,6}:{(28,1),(35,1)}
      39:{1,2,4}:{(30,1),(31,1),(34,1),(46,1),(48,1),(49,1),(57,1)}
      40:{3}:{(30,1)}
      41:{2,3}:{(31,1),(32,1),(48,1)}
      42:{1,4}:{(32,1),(33,1),(47,1),(48,1)}
      43:{2,3,5}:{(34,1),(35,1),(36,1),(45,1),(46,1),(49,1),(50,1),(56,1),(58,1)}
      44:{2,4}:{(36,1),(49,1),(50,1)}
      45:{2,3,6}:{(37,1),(38,1),(43,1),(51,1),(55,1),(62,1)}
      46:{2,3}:{(39,1),(40,1),(53,1)}
      47:{1,3}:{(40,1),(42,1)}
      48:{1,2}:{(41,1),(42,1)}
      49:{4}:{(43,1)}
      50:{2,5}:{(44,1),(54,1),(55,1)}
      51:{4,6}:{(45,1),(49,1),(56,1)}
      52:{1,2,3}:{(46,1),(47,1),(48,1),(57,1)}
      53:{3,4}:{(46,1),(49,1),(57,1),(58,1)}
      54:{4,5}:{(49,1),(50,1),(56,1),(58,1),(59,1)}
      55:{2,6}:{(50,1),(59,1)}
      56:{5}:{(51,1)}
      57:{1,4}:{(52,1),(53,1),(61,1)}
      58:{3,5}:{(53,1),(54,1),(61,1),(62,1)}
      59:{4,6}:{(54,1),(55,1),(60,1),(62,1)}
      60:{5,6}:{(56,1),(59,1)}
      61:{1,5}:{(57,1),(58,1),(63,1)}
      62:{3,6}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

257 :  0:{1,3,4,5}:{(1,1),(2,1),(20,1),(24,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(4,1),(12,1),(15,1)}
       2:{1,3,4,6}:{(0,1),(4,1),(5,1),(16,1),(30,1),(73,1)}
       3:{1,2,4}:{(1,1),(6,1)}
       4:{1,2,3,6}:{(1,1),(2,1),(8,1),(21,1),(77,1)}
       5:{1,3,5,6}:{(2,1),(10,1),(40,1),(78,1)}
       6:{2,3,4}:{(3,1),(12,1)}
       7:{1,2,4,5}:{(3,1),(12,1),(14,1),(15,1),(28,1),(32,1)}
       8:{1,2,4,6}:{(3,1),(4,1),(13,1),(15,1),(16,1),(71,1),(72,1)}
       9:{1,2,3,5,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(31,1),(35,1),(36,1),(56,1),(57,1),(71,1)}
      10:{1,4,5,6}:{(5,1),(16,1),(17,1),(18,1),(51,1),(74,1)}
      11:{1,2,3,4}:{(6,1),(19,1)}
      12:{2,3,5}:{(6,1),(7,1),(20,1),(21,1)}
      13:{2,3,4,6}:{(6,1),(8,1),(21,1),(22,1),(26,1),(41,1),(63,1),(66,1)}
      14:{1,2,4,6}:{(7,1),(21,1),(23,1),(39,1),(41,1)}
      15:{1,2,5}:{(8,1),(22,1),(24,1)}
      16:{1,4,6}:{(9,1),(24,1),(26,1),(41,1),(67,1)}
      17:{1,2,5,6}:{(10,1),(25,1),(27,1),(62,1),(69,1)}
      18:{3,4,5,6}:{(10,1),(26,1),(27,1),(68,1)}
      19:{1,2,3,5}:{(11,1),(12,1),(28,1),(29,1)}
      20:{3,4,5}:{(12,1),(28,1),(30,1),(32,1)}
      21:{2,3,6}:{(12,1),(14,1),(30,1)}
      22:{2,3,5}:{(13,1),(15,1),(32,1),(35,1)}
      23:{1,2,5,6}:{(14,1),(15,1),(31,1),(33,1),(50,1),(71,1)}
      24:{1,4,5}:{(15,1),(16,1),(32,1),(35,1)}
      25:{1,2,4,6}:{(16,1),(17,1),(34,1),(36,1),(38,1),(52,1),(71,1)}
      26:{3,4,6}:{(16,1),(35,1),(36,1),(58,1)}
      27:{2,3,5,6}:{(17,1),(18,1),(36,1),(38,1),(60,1)}
      28:{1,4,5}:{(19,1),(20,1),(39,1)}
      29:{1,2,3,6}:{(19,1),(21,1),(39,1)}
      30:{3,4,6}:{(20,1),(21,1),(39,1),(40,1),(41,1)}
      31:{2,3,5,6}:{(21,1),(22,1),(23,1),(40,1),(41,1),(44,1),(62,1),(63,1)}
      32:{4,5}:{(22,1),(41,1)}
      33:{1,4,5,6}:{(23,1),(24,1),(41,1),(44,1),(64,1)}
      34:{1,2,4,5}:{(24,1),(25,1),(42,1),(45,1),(49,1),(65,1),(67,1),(69,1)}
      35:{3,5}:{(24,1),(26,1)}
      36:{2,3,6}:{(25,1),(26,1),(45,1)}
      37:{1,3,4,6}:{(26,1),(46,1),(47,1),(64,1),(67,1)}
      38:{2,4,6}:{(27,1),(49,1)}
      39:{1,4,6}:{(28,1),(29,1),(30,1),(50,1)}
      40:{3,5,6}:{(30,1),(50,1),(51,1)}
      41:{4,6}:{(31,1),(32,1)}
      42:{2,4,5}:{(32,1),(52,1),(54,1)}
      43:{3,4,5}:{(32,1),(35,1),(53,1),(54,1),(55,1),(58,1)}
      44:{3,5,6}:{(33,1),(35,1),(53,1)}
      45:{2,3,5}:{(34,1),(35,1),(36,1),(58,1)}
      46:{1,3,5}:{(35,1),(37,1),(55,1)}
      47:{1,2,3,6}:{(36,1),(37,1),(57,1),(59,1),(71,1),(80,1)}
      48:{2,3,4,6}:{(36,1),(38,1),(58,1),(59,1),(60,1),(75,1)}
      49:{2,4,5}:{(38,1),(60,1)}
      50:{1,5,6}:{(39,1),(40,1)}
      51:{4,5,6}:{(40,1),(41,1),(62,1)}
      52:{2,4,6}:{(41,1),(42,1),(62,1),(63,1)}
      53:{3,4,6}:{(41,1),(43,1),(44,1),(63,1),(64,1)}
      54:{2,3,5}:{(42,1),(43,1),(63,1),(65,1),(66,1)}
      55:{1,4,5}:{(43,1),(46,1),(64,1),(65,1),(67,1)}
      56:{1,3,5,6}:{(44,1),(46,1),(64,1)}
      57:{1,2,3,5}:{(45,1),(46,1),(47,1),(65,1),(67,1),(69,1),(77,1),(78,1)}
      58:{3,4}:{(45,1),(67,1)}
      59:{1,2,4,6}:{(47,1),(48,1),(67,1),(69,1),(79,1)}
      60:{2,3,5}:{(48,1),(49,1),(68,1),(69,1)}
      61:{2,4,5,6}:{(49,1),(70,1)}
      62:{2,5,6}:{(51,1),(52,1)}
      63:{2,3,6}:{(52,1),(53,1),(54,1),(71,1)}
      64:{1,4,6}:{(53,1),(55,1),(56,1),(71,1)}
      65:{1,2,5}:{(54,1),(55,1),(71,1),(72,1)}
      66:{2,3,4}:{(54,1),(58,1),(72,1)}
      67:{1,4}:{(57,1),(58,1)}
      68:{3,4,5}:{(58,1),(60,1),(74,1),(75,1)}
      69:{1,2,5}:{(59,1),(60,1),(74,1)}
      70:{2,3,5,6}:{(60,1),(61,1),(75,1),(76,1)}
      71:{1,2,6}:{(63,1),(64,1),(65,1)}
      72:{1,2,4}:{(65,1),(66,1),(67,1),(77,1)}
      73:{1,3,4}:{(67,1),(77,1),(78,1)}
      74:{1,4,5}:{(67,1),(68,1),(69,1),(78,1),(79,1)}
      75:{3,4,6}:{(68,1),(70,1),(79,1)}
      76:{1,2,5,6}:{(69,1),(70,1),(79,1)}
      77:{1,2,3}:{(72,1),(73,1)}
      78:{1,3,5}:{(73,1),(74,1),(80,1)}
      79:{1,4,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

258 :   0:{1,2,4,5}:{(1,1),(2,1),(8,1),(14,1),(29,1),(36,1),(39,1),(71,1),(78,1),(117,1),(132,1)}
        1:{2,3,5}:{(0,1),(4,1),(5,1),(23,1),(95,1),(143,1)}
        2:{1,2,4,6}:{(0,1),(5,1),(6,1),(20,1),(24,1),(27,1),(48,1),(93,1)}
        3:{1,2,3,5}:{(1,1),(8,1),(9,1),(28,1),(29,1),(33,1),(36,1)}
        4:{3,4}:{(1,1),(8,1),(132,1)}
        5:{2,3,6}:{(1,1),(2,1),(11,1),(120,1)}
        6:{1,2,5,6}:{(2,1),(12,1),(13,1),(36,1),(45,1),(78,1),(85,1)}
        7:{2,3,4}:{(4,1),(15,1),(16,1),(63,1),(143,1),(152,1)}
        8:{1,4}:{(3,1),(4,1)}
        9:{1,2,3,6}:{(3,1),(5,1),(20,1),(48,1),(52,1)}
       10:{3,4,5}:{(4,1),(16,1),(19,1),(22,1),(23,1),(51,1),(63,1),(95,1),(111,1)}
       11:{3,4,6}:{(4,1),(5,1),(20,1),(23,1),(24,1)}
       12:{2,3,5,6}:{(5,1),(6,1),(23,1),(24,1),(25,1),(59,1),(61,1),(105,1)}
       13:{1,4,5,6}:{(6,1),(24,1),(25,1),(55,1),(62,1),(66,1),(93,1),(114,1)}
       14:{2,4,5}:{(16,1),(27,1),(51,1),(152,1),(195,1)}
       15:{1,2,4}:{(7,1),(8,1),(28,1),(29,1),(67,1)}
       16:{2,3,5}:{(7,1),(10,1),(14,1),(29,1),(31,1)}
       17:{2,3,4,6}:{(7,1),(11,1),(30,1),(31,1),(32,1),(40,1),(72,1),(80,1),(86,1),(118,1),(120,1),(123,1),(126,1),(132,1),(137,1),(165,1),(170,1),(174,1),(203,1)}
       18:{1,3,4}:{(8,1),(28,1),(33,1),(67,1),(118,1)}
       19:{1,4,5}:{(8,1),(10,1),(29,1),(33,1),(35,1),(36,1),(67,1),(115,1)}
       20:{1,4,6}:{(8,1),(9,1),(11,1),(36,1)}
       21:{1,2,3,5,6}:{(9,1),(12,1),(36,1),(37,1),(42,1),(69,1),(70,1),(75,1),(78,1),(79,1),(80,1),(85,1),(120,1),(127,1),(130,1),(131,1),(169,1),(180,1),(208,1),(213,1)}
       22:{3,4,6}:{(10,1),(31,1),(35,1),(38,1),(72,1),(120,1)}
       23:{3,5}:{(11,1),(36,1),(39,1)}
       24:{4,6}:{(12,1),(39,1),(132,1)}
       25:{3,5,6}:{(13,1),(41,1),(79,1),(120,1)}
       26:{1,2,4,5}:{(14,1),(29,1),(43,1),(44,1),(67,1),(71,1),(115,1),(117,1),(136,1),(163,1),(203,1)}
       27:{2,4,6}:{(14,1),(31,1),(45,1),(72,1)}
       28:{1,2,3}:{(15,1),(18,1),(143,1)}
       29:{1,2,5}:{(15,1),(16,1),(19,1),(48,1)}
       30:{1,2,4,6}:{(15,1),(17,1),(20,1),(47,1),(48,1),(49,1),(90,1),(92,1),(93,1),(149,1),(150,1),(190,1)}
       31:{2,3,6}:{(16,1),(22,1),(27,1),(48,1)}
       32:{2,3,5}:{(17,1),(23,1),(49,1),(51,1),(59,1),(95,1),(111,1),(159,1),(191,1),(195,1)}
       33:{1,3,5}:{(18,1),(19,1),(52,1),(95,1)}
       34:{1,3,4,6}:{(18,1),(20,1),(47,1),(52,1),(53,1),(57,1),(90,1),(92,1),(100,1),(142,1),(190,1),(192,1),(221,1)}
       35:{1,4,6}:{(19,1),(22,1),(48,1),(52,1),(54,1)}
       36:{1,5}:{(20,1),(23,1)}
       37:{1,4,6}:{(21,1),(24,1),(55,1),(57,1),(92,1),(153,1),(154,1)}
       38:{3,5,6}:{(22,1),(23,1),(54,1),(58,1),(111,1)}
       39:{4,5}:{(23,1),(24,1),(59,1)}
       40:{2,4,6}:{(24,1),(59,1),(61,1),(110,1)}
       41:{3,4,6}:{(24,1),(25,1),(60,1),(61,1),(62,1)}
       42:{1,3,5,6}:{(25,1),(62,1),(106,1),(114,1),(146,1)}
       43:{2,3,5}:{(26,1),(63,1),(64,1),(95,1),(111,1),(143,1)}
       44:{1,2,4,6}:{(26,1),(27,1),(48,1),(64,1),(65,1),(90,1),(93,1),(112,1)}
       45:{2,5,6}:{(27,1),(66,1),(195,1)}
       46:{1,2,3,5}:{(28,1),(29,1),(33,1),(43,1),(67,1),(68,1),(115,1)}
       47:{1,2,3,6}:{(28,1),(30,1),(34,1),(69,1),(80,1),(120,1),(127,1),(165,1),(173,1)}
       48:{1,2,6}:{(29,1),(31,1),(35,1)}
       49:{1,2,5}:{(30,1),(32,1),(36,1),(71,1),(115,1),(208,1)}
       50:{2,3,5,6}:{(31,1),(32,1),(38,1),(45,1),(70,1),(72,1),(82,1),(89,1),(120,1),(123,1)}
       51:{4,5}:{(32,1),(72,1),(132,1),(203,1)}
       52:{1,3,6}:{(33,1),(35,1),(120,1)}
       53:{1,3,5}:{(34,1),(36,1),(76,1),(79,1),(115,1),(164,1),(208,1)}
       54:{1,5,6}:{(35,1),(36,1),(38,1),(115,1)}
       55:{1,4,5}:{(36,1),(37,1),(39,1),(78,1),(79,1),(132,1),(176,1),(208,1)}
       56:{1,2,4,6}:{(37,1),(40,1),(78,1),(80,1),(85,1),(117,1),(127,1),(132,1),(135,1),(174,1)}
       57:{3,4,6}:{(37,1),(79,1),(80,1),(118,1),(120,1),(132,1),(177,1),(213,1)}
       58:{4,5,6}:{(38,1),(39,1),(72,1),(82,1),(136,1)}
       59:{2,5}:{(39,1),(40,1)}
       60:{3,4,5}:{(39,1),(41,1),(79,1),(83,1),(84,1),(132,1),(177,1)}
       61:{2,3,6}:{(40,1),(41,1),(83,1),(85,1)}
       62:{1,4,6}:{(41,1),(42,1),(84,1),(85,1)}
       63:{3,4}:{(43,1),(67,1),(203,1)}
       64:{2,3,6}:{(43,1),(44,1),(86,1),(120,1)}
       65:{1,2,5,6}:{(44,1),(45,1),(87,1),(88,1),(115,1),(163,1),(183,1)}
       66:{4,5,6}:{(45,1),(72,1),(89,1),(176,1)}
       67:{1,4}:{(46,1),(63,1)}
       68:{1,2,3,6}:{(46,1),(48,1),(52,1),(64,1),(90,1)}
       69:{1,2,3,5}:{(47,1),(49,1),(53,1),(92,1),(95,1),(101,1),(105,1),(143,1),(184,1)}
       70:{1,2,5,6}:{(48,1),(49,1),(50,1),(54,1),(93,1),(114,1),(149,1)}
       71:{1,4,5}:{(49,1),(51,1),(92,1),(93,1),(95,1)}
       72:{4,6}:{(50,1),(51,1)}
       73:{2,4,5}:{(51,1),(59,1),(96,1),(98,1),(110,1),(159,1),(201,1)}
       74:{3,4,5}:{(51,1),(95,1),(97,1),(98,1),(99,1),(148,1),(191,1)}
       75:{1,3,5,6}:{(52,1),(53,1),(54,1),(100,1),(104,1),(220,1),(221,1)}
       76:{1,4,5}:{(53,1),(92,1),(100,1),(101,1),(102,1)}
       77:{1,4,5,6}:{(54,1),(55,1),(58,1),(93,1),(100,1),(103,1),(104,1),(140,1),(153,1),(197,1),(199,1),(220,1),(228,1)}
       78:{1,2,5}:{(55,1),(56,1),(59,1),(105,1),(195,1)}
       79:{3,5}:{(55,1),(57,1)}
       80:{2,3,6}:{(56,1),(57,1),(105,1),(143,1),(158,1)}
       81:{1,3,4,6}:{(57,1),(62,1),(106,1),(107,1),(144,1),(146,1),(154,1),(190,1)}
       82:{2,5,6}:{(58,1),(59,1),(96,1),(159,1)}
       83:{2,3,5}:{(59,1),(60,1),(61,1),(109,1),(110,1),(158,1)}
       84:{1,4,5}:{(60,1),(62,1),(106,1),(109,1),(154,1)}
       85:{1,2,6}:{(61,1),(62,1),(109,1)}
       86:{3,4,6}:{(63,1),(64,1),(90,1),(111,1),(112,1)}
       87:{2,3,5,6}:{(64,1),(65,1),(111,1),(112,1),(113,1),(159,1),(161,1),(184,1)}
       88:{1,4,5,6}:{(65,1),(66,1),(93,1),(112,1),(113,1),(114,1),(140,1),(162,1)}
       89:{3,5,6}:{(66,1),(97,1),(114,1),(191,1)}
       90:{1,4,6}:{(67,1),(68,1),(86,1),(115,1)}
       91:{1,2,3,5,6}:{(68,1),(69,1),(70,1),(75,1),(87,1),(115,1),(116,1),(120,1),(127,1),(130,1),(139,1),(163,1),(164,1),(165,1),(169,1),(183,1),(202,1),(208,1),(226,1),(229,1)}
       92:{1,4}:{(69,1),(118,1),(132,1),(203,1)}
       93:{1,4,6}:{(70,1),(71,1),(72,1),(120,1)}
       94:{1,2,4,5}:{(71,1),(73,1),(78,1),(117,1),(119,1),(121,1),(125,1),(132,1),(135,1),(163,1),(171,1),(175,1),(176,1),(178,1),(203,1),(206,1),(208,1),(214,1),(224,1)}
       95:{3,5}:{(71,1),(118,1),(120,1)}
       96:{2,4,6}:{(72,1),(73,1),(82,1),(123,1)}
       97:{3,4,6}:{(72,1),(74,1),(89,1),(120,1),(123,1),(124,1)}
       98:{2,3,5}:{(73,1),(74,1),(123,1),(125,1),(126,1)}
       99:{1,4,5}:{(74,1),(122,1),(124,1),(125,1),(171,1),(208,1)}
      100:{1,4,6}:{(75,1),(76,1),(127,1),(128,1)}
      101:{1,2,5}:{(76,1),(117,1),(127,1),(129,1)}
      102:{3,4,5}:{(76,1),(79,1),(118,1),(128,1),(129,1),(132,1),(164,1),(176,1),(203,1)}
      103:{1,2,5,6}:{(77,1),(78,1),(82,1),(119,1),(127,1),(130,1),(163,1),(208,1),(212,1)}
      104:{3,5,6}:{(77,1),(79,1),(120,1),(128,1),(164,1),(213,1),(229,1)}
      105:{2,3,5}:{(78,1),(79,1),(80,1),(132,1)}
      106:{1,3,5}:{(79,1),(81,1),(84,1),(208,1)}
      107:{1,2,3,6}:{(80,1),(81,1),(85,1),(131,1),(133,1),(167,1),(213,1)}
      108:{2,3,4,6}:{(80,1),(132,1),(133,1),(134,1),(168,1),(170,1),(174,1),(177,1),(179,1),(207,1),(213,1)}
      109:{1,2,5}:{(83,1),(84,1),(85,1),(135,1)}
      110:{2,4}:{(83,1),(132,1)}
      111:{3,5}:{(86,1),(115,1),(136,1)}
      112:{4,6}:{(87,1),(136,1),(203,1)}
      113:{3,5,6}:{(88,1),(120,1),(138,1),(164,1)}
      114:{1,5,6}:{(89,1),(124,1),(208,1)}
      115:{1,5}:{(90,1),(111,1)}
      116:{1,4,6}:{(91,1),(92,1),(112,1),(140,1),(142,1),(153,1),(215,1)}
      117:{1,2,4}:{(92,1),(101,1),(143,1),(152,1)}
      118:{3,4}:{(92,1),(95,1),(143,1)}
      119:{1,2,4,6}:{(93,1),(94,1),(96,1),(103,1),(145,1),(149,1),(153,1),(190,1),(196,1),(199,1),(219,1),(228,1)}
      120:{3,6}:{(93,1),(95,1)}
      121:{2,3,5}:{(94,1),(95,1),(143,1),(145,1),(148,1),(158,1),(191,1),(198,1),(222,1),(227,1)}
      122:{1,3,5}:{(95,1),(99,1),(144,1),(146,1)}
      123:{2,3,6}:{(96,1),(97,1),(98,1),(149,1)}
      124:{1,4,6}:{(97,1),(99,1),(114,1),(146,1),(149,1)}
      125:{1,2,5}:{(98,1),(99,1),(149,1),(150,1)}
      126:{2,3,4}:{(98,1),(110,1),(148,1),(150,1),(158,1),(201,1),(222,1)}
      127:{1,2,6}:{(100,1),(101,1),(151,1)}
      128:{3,4,6}:{(100,1),(102,1),(104,1),(151,1),(153,1)}
      129:{2,3,5}:{(101,1),(102,1),(143,1),(151,1),(152,1),(195,1)}
      130:{2,3,5,6}:{(103,1),(104,1),(105,1),(145,1),(151,1),(153,1),(184,1),(191,1),(195,1)}
      131:{1,2,3,5}:{(105,1),(106,1),(107,1),(109,1),(154,1),(156,1),(158,1),(198,1)}
      132:{4}:{(105,1)}
      133:{1,2,4,6}:{(107,1),(108,1),(154,1),(156,1),(188,1),(190,1),(199,1),(219,1)}
      134:{2,3,5}:{(108,1),(155,1),(156,1),(191,1),(195,1),(198,1)}
      135:{1,2,4}:{(109,1),(110,1),(154,1),(158,1)}
      136:{4,5}:{(111,1),(112,1),(159,1)}
      137:{2,4,6}:{(112,1),(159,1),(161,1),(201,1)}
      138:{3,4,6}:{(112,1),(113,1),(160,1),(161,1),(162,1)}
      139:{1,3,5,6}:{(113,1),(114,1),(146,1),(162,1),(185,1)}
      140:{1,4,5}:{(115,1),(116,1),(136,1),(163,1),(164,1),(176,1),(203,1),(208,1)}
      141:{1,2,4,6}:{(116,1),(117,1),(127,1),(137,1),(163,1),(165,1),(174,1),(183,1),(203,1),(214,1)}
      142:{3,4,6}:{(116,1),(118,1),(120,1),(164,1),(165,1),(203,1),(223,1),(229,1)}
      143:{2,3}:{(117,1),(118,1)}
      144:{1,3,4}:{(118,1),(122,1),(167,1),(171,1)}
      145:{2,3,6}:{(119,1),(120,1),(121,1),(170,1),(213,1),(229,1)}
      146:{1,3,6}:{(120,1),(122,1),(124,1)}
      147:{1,2,3,5}:{(121,1),(122,1),(125,1),(167,1),(169,1),(171,1),(173,1),(206,1),(208,1),(210,1)}
      148:{3,4}:{(121,1),(132,1),(171,1),(203,1)}
      149:{1,2,6}:{(123,1),(124,1),(125,1)}
      150:{1,2,4}:{(125,1),(126,1),(171,1),(173,1)}
      151:{2,3,6}:{(127,1),(128,1),(129,1),(174,1)}
      152:{2,4}:{(129,1),(132,1),(203,1)}
      153:{4,6}:{(130,1),(132,1),(176,1),(203,1)}
      154:{1,4}:{(131,1),(132,1),(177,1)}
      155:{4,5}:{(132,1),(134,1),(179,1)}
      156:{1,2,5}:{(133,1),(134,1),(178,1),(208,1)}
      157:{2,3,5,6}:{(134,1),(179,1),(180,1),(207,1),(209,1),(212,1),(213,1)}
      158:{2,3}:{(135,1),(177,1)}
      159:{2,5}:{(136,1),(137,1)}
      160:{3,4,5}:{(136,1),(138,1),(164,1),(181,1),(182,1),(203,1),(223,1)}
      161:{2,3,6}:{(137,1),(138,1),(181,1),(183,1)}
      162:{1,4,6}:{(138,1),(139,1),(182,1),(183,1)}
      163:{1,2,5}:{(140,1),(141,1),(159,1),(184,1),(195,1)}
      164:{3,5}:{(140,1),(142,1)}
      165:{2,3,6}:{(141,1),(142,1),(143,1),(184,1),(222,1)}
      166:{1,3,4,6}:{(142,1),(144,1),(146,1),(162,1),(185,1),(186,1),(190,1),(215,1)}
      167:{1,2,3}:{(143,1),(144,1),(188,1)}
      168:{2,3,4}:{(143,1),(148,1),(152,1),(188,1),(189,1)}
      169:{1,2,3,6}:{(145,1),(146,1),(147,1),(149,1),(190,1),(219,1),(221,1)}
      170:{3,4,6}:{(145,1),(148,1),(153,1),(190,1),(191,1)}
      171:{1,4}:{(147,1),(148,1)}
      172:{3,4,5}:{(148,1),(155,1),(189,1),(191,1),(193,1),(194,1),(198,1),(216,1),(227,1)}
      173:{1,2,3}:{(150,1),(158,1),(192,1),(222,1)}
      174:{2,4,6}:{(151,1),(152,1),(153,1),(195,1)}
      175:{2,4,5}:{(152,1),(155,1),(189,1),(195,1),(196,1),(216,1)}
      176:{4,5}:{(153,1),(191,1),(195,1)}
      177:{3,4}:{(154,1),(158,1),(198,1)}
      178:{1,4,5}:{(154,1),(155,1),(156,1),(198,1),(199,1)}
      179:{4,6}:{(155,1),(157,1)}
      180:{1,2,5,6}:{(156,1),(157,1),(199,1),(219,1),(220,1)}
      181:{2,3,5}:{(159,1),(160,1),(161,1),(200,1),(201,1),(222,1)}
      182:{1,4,5}:{(160,1),(162,1),(185,1),(200,1),(215,1)}
      183:{1,2,6}:{(161,1),(162,1),(200,1)}
      184:{2,3,5}:{(163,1),(164,1),(165,1),(203,1)}
      185:{1,3,5}:{(164,1),(166,1),(182,1),(208,1)}
      186:{1,2,3,6}:{(165,1),(166,1),(167,1),(183,1),(202,1),(204,1),(229,1)}
      187:{2,3,4,6}:{(165,1),(168,1),(170,1),(174,1),(203,1),(204,1),(205,1),(207,1),(223,1),(225,1),(229,1)}
      188:{1,2,4}:{(167,1),(168,1),(171,1),(206,1)}
      189:{2,3,5}:{(168,1),(172,1),(175,1),(206,1),(207,1)}
      190:{1,4,6}:{(169,1),(170,1),(171,1),(208,1)}
      191:{3,5}:{(170,1),(176,1),(208,1)}
      192:{1,3,4}:{(171,1),(173,1),(177,1),(210,1),(223,1)}
      193:{1,4,5}:{(171,1),(172,1),(206,1),(208,1),(210,1),(211,1)}
      194:{3,4,6}:{(172,1),(179,1),(207,1),(209,1),(211,1),(213,1),(225,1),(229,1)}
      195:{2,5}:{(174,1),(176,1)}
      196:{2,4,6}:{(175,1),(179,1),(207,1),(212,1),(225,1)}
      197:{4,5,6}:{(176,1),(179,1),(209,1),(212,1),(225,1)}
      198:{3,5}:{(177,1),(178,1),(213,1)}
      199:{1,4,6}:{(178,1),(179,1),(180,1),(213,1)}
      200:{1,2,5}:{(181,1),(182,1),(183,1),(214,1)}
      201:{2,4}:{(181,1),(203,1)}
      202:{1,2,3,5}:{(184,1),(185,1),(186,1),(200,1),(215,1),(217,1),(222,1),(227,1)}
      203:{4}:{(184,1)}
      204:{1,2,4,6}:{(186,1),(187,1),(188,1),(190,1),(215,1),(217,1),(219,1),(228,1)}
      205:{2,3,5}:{(187,1),(191,1),(195,1),(216,1),(217,1),(227,1)}
      206:{1,2,5}:{(188,1),(189,1),(193,1),(219,1)}
      207:{2,3,6}:{(189,1),(194,1),(196,1),(219,1)}
      208:{1,5}:{(190,1),(191,1)}
      209:{3,5,6}:{(191,1),(194,1),(197,1),(220,1)}
      210:{1,3,5}:{(192,1),(193,1),(198,1),(221,1),(227,1)}
      211:{1,4,6}:{(193,1),(194,1),(219,1),(220,1),(221,1)}
      212:{2,5,6}:{(195,1),(196,1),(197,1)}
      213:{3,6}:{(198,1),(199,1)}
      214:{1,2,4}:{(200,1),(201,1),(215,1),(222,1)}
      215:{1,4}:{(202,1),(203,1),(223,1)}
      216:{4,5}:{(203,1),(205,1),(225,1)}
      217:{1,2,5}:{(204,1),(205,1),(208,1),(224,1)}
      218:{2,3,5,6}:{(205,1),(207,1),(209,1),(212,1),(225,1),(226,1),(229,1)}
      219:{1,2,6}:{(206,1),(207,1),(211,1)}
      220:{1,5,6}:{(208,1),(209,1),(211,1)}
      221:{1,3,6}:{(210,1),(211,1),(213,1),(229,1)}
      222:{2,3}:{(214,1),(223,1)}
      223:{3,4}:{(215,1),(222,1),(227,1)}
      224:{1,4,5}:{(215,1),(216,1),(217,1),(227,1),(228,1)}
      225:{4,6}:{(216,1),(218,1)}
      226:{1,2,5,6}:{(217,1),(218,1),(219,1),(220,1),(228,1)}
      227:{3,5}:{(223,1),(224,1),(229,1)}
      228:{1,4,6}:{(224,1),(225,1),(226,1),(229,1)}
      229:{3,6}:{(227,1),(228,1)}

259 :  0:{1,2,4,6}:{(2,1),(3,1),(5,1),(12,1),(15,1),(18,1),(34,1),(42,1),(51,1),(54,1),(58,1)}
       1:{1,2,5,6}:{(3,1),(4,1),(5,1),(32,1),(41,1),(42,1),(51,1)}
       2:{2,3,6}:{(0,1),(7,1),(8,1),(11,1),(46,1),(47,1),(57,1)}
       3:{1,2,5}:{(0,1),(8,1),(9,1),(21,1),(28,1),(48,1),(59,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(23,1),(28,1),(29,1),(30,1),(47,1),(55,1),(59,1)}
       5:{1,4,6}:{(1,1),(9,1),(10,1),(11,1)}
       6:{1,2,3,6}:{(2,1),(12,1),(13,1),(20,1),(42,1),(51,1),(52,1)}
       7:{3,4,6}:{(2,1),(12,1),(14,1),(15,1),(35,1),(36,1),(52,1),(58,1)}
       8:{2,3,5}:{(2,1),(3,1),(14,1),(15,1),(16,1),(37,1),(38,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(16,1),(17,1),(39,1),(41,1),(54,1)}
      10:{4,6}:{(4,1),(15,1),(17,1)}
      11:{3,6}:{(5,1),(16,1)}
      12:{1,4,6}:{(6,1),(7,1),(21,1),(22,1)}
      13:{1,2,3,5}:{(6,1),(8,1),(21,1),(22,1),(27,1),(44,1),(45,1),(46,1),(48,1),(49,1),(57,1)}
      14:{3,5}:{(7,1),(21,1),(24,1),(59,1)}
      15:{4}:{(8,1)}
      16:{3,5}:{(9,1),(11,1),(26,1),(57,1)}
      17:{4,5}:{(10,1),(28,1),(29,1),(50,1),(59,1)}
      18:{2,4,6}:{(10,1),(25,1),(28,1),(30,1),(47,1),(50,1)}
      19:{3,4,6}:{(10,1),(11,1),(26,1),(29,1),(30,1),(31,1),(50,1),(57,1)}
      20:{1,3,6}:{(11,1),(27,1),(31,1),(57,1)}
      21:{1,5}:{(12,1),(14,1)}
      22:{1,4}:{(13,1),(15,1),(35,1)}
      23:{3,5,6}:{(14,1),(32,1),(36,1),(52,1)}
      24:{4,5}:{(14,1),(15,1),(36,1),(37,1)}
      25:{2,4}:{(15,1),(37,1),(38,1)}
      26:{3,4}:{(15,1),(16,1),(38,1),(39,1)}
      27:{1,3,5}:{(16,1),(20,1),(39,1),(41,1)}
      28:{2,5}:{(17,1),(18,1)}
      29:{3,5}:{(17,1),(19,1),(41,1)}
      30:{2,3,6}:{(18,1),(19,1),(38,1),(40,1),(42,1)}
      31:{1,4,6}:{(19,1),(20,1),(39,1),(41,1),(42,1),(54,1)}
      32:{1,5,6}:{(21,1),(23,1),(43,1),(59,1)}
      33:{1,4,5}:{(21,1),(22,1),(24,1),(43,1),(44,1),(45,1),(56,1),(59,1)}
      34:{1,2,4}:{(22,1),(25,1),(44,1),(46,1),(48,1),(56,1)}
      35:{3,4}:{(22,1),(45,1),(46,1),(56,1),(57,1)}
      36:{4,6}:{(23,1),(24,1),(47,1)}
      37:{2,5}:{(24,1),(25,1),(47,1)}
      38:{2,3}:{(25,1),(26,1),(48,1)}
      39:{1,4}:{(26,1),(27,1),(48,1)}
      40:{2,3,5}:{(28,1),(29,1),(30,1),(49,1),(50,1),(57,1)}
      41:{1,5}:{(29,1),(31,1)}
      42:{1,2,6}:{(30,1),(31,1),(48,1),(49,1)}
      43:{1,4,6}:{(32,1),(33,1),(36,1),(51,1),(52,1),(58,1)}
      44:{1,2,5}:{(33,1),(34,1),(37,1),(51,1),(53,1)}
      45:{3,5}:{(33,1),(35,1),(52,1)}
      46:{2,3}:{(34,1),(35,1)}
      47:{2,6}:{(36,1),(37,1)}
      48:{1,2}:{(38,1),(39,1)}
      49:{1,2,5}:{(40,1),(41,1),(42,1),(54,1)}
      50:{4}:{(40,1)}
      51:{1,2,6}:{(43,1),(44,1),(47,1),(55,1)}
      52:{3,6}:{(43,1),(45,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(55,1),(56,1),(59,1)}
      54:{1,4}:{(49,1),(50,1),(57,1)}
      55:{2,3,6}:{(51,1),(52,1),(53,1),(58,1)}
      56:{4}:{(53,1)}
      57:{3}:{(54,1)}
      58:{4,6}:{(55,1),(56,1),(59,1)}
      59:{5}:{(58,1)}

260 :  0:{2,4,5}:{(2,1),(3,1),(33,1)}
       1:{4,5,6}:{(4,1),(5,1),(21,1),(73,1)}
       2:{2,4,6}:{(0,1),(4,1),(6,1),(21,1),(75,1)}
       3:{2,3,5}:{(0,1),(6,1),(7,1),(8,1),(23,1)}
       4:{2,5,6}:{(1,1),(2,1),(77,1)}
       5:{3,5,6}:{(1,1),(10,1),(12,1),(66,1)}
       6:{2,3,6}:{(2,1),(3,1),(13,1),(14,1),(69,1)}
       7:{1,2,5}:{(3,1),(13,1),(15,1),(35,1)}
       8:{3,4}:{(3,1),(15,1)}
       9:{3,4,5}:{(10,1),(16,1),(17,1),(33,1),(51,1),(53,1),(66,1),(68,1)}
      10:{3,4,6}:{(5,1),(9,1),(18,1),(19,1),(21,1),(42,1)}
      11:{2,3,5,6}:{(4,1),(5,1),(6,1),(18,1),(20,1),(21,1),(23,1),(41,1),(42,1),(59,1)}
      12:{1,5,6}:{(5,1),(19,1),(58,1)}
      13:{1,2,6}:{(6,1),(7,1),(22,1),(61,1)}
      14:{3,4,6}:{(6,1),(8,1),(21,1),(22,1),(23,1),(42,1),(60,1)}
      15:{1,4}:{(7,1),(8,1),(24,1)}
      16:{2,3,5}:{(9,1),(18,1),(26,1),(27,1),(41,1),(46,1)}
      17:{1,4,5}:{(9,1),(19,1),(25,1),(26,1),(45,1),(58,1)}
      18:{2,3,6}:{(10,1),(16,1),(30,1),(31,1)}
      19:{1,4,6}:{(10,1),(12,1),(17,1),(29,1),(30,1)}
      20:{1,2,5,6}:{(11,1),(12,1),(13,1),(30,1),(32,1),(35,1),(50,1)}
      21:{4,6}:{(11,1),(33,1),(68,1)}
      22:{1,4,6}:{(13,1),(14,1),(15,1),(34,1),(35,1),(52,1)}
      23:{3,5}:{(14,1),(33,1),(35,1)}
      24:{1,3}:{(15,1)}
      25:{1,3,5}:{(17,1),(28,1),(29,1),(51,1)}
      26:{1,2,5}:{(16,1),(17,1),(30,1),(37,1)}
      27:{2,4}:{(16,1),(68,1)}
      28:{1,3,4}:{(25,1),(38,1),(45,1),(60,1)}
      29:{1,3,6}:{(19,1),(25,1),(42,1)}
      30:{1,2,6}:{(18,1),(19,1),(26,1)}
      31:{2,4,6}:{(18,1),(21,1),(27,1),(41,1)}
      32:{1,4,6}:{(20,1),(21,1),(42,1),(43,1)}
      33:{4,5}:{(21,1),(23,1),(41,1)}
      34:{1,3,6}:{(22,1),(24,1),(42,1),(44,1)}
      35:{1,5}:{(22,1),(23,1)}
      36:{1,2,3,5}:{(25,1),(26,1),(38,1),(39,1),(45,1),(46,1),(56,1),(58,1),(59,1),(62,1)}
      37:{1,2,4}:{(26,1),(27,1),(45,1),(46,1)}
      38:{1,2,3}:{(28,1),(47,1),(69,1)}
      39:{1,2,3,6}:{(29,1),(30,1),(36,1),(48,1),(49,1),(65,1),(70,1)}
      40:{1,2,4,6}:{(30,1),(31,1),(32,1),(37,1),(48,1),(49,1),(50,1),(68,1)}
      41:{2,5}:{(31,1),(33,1)}
      42:{3,6}:{(32,1),(51,1)}
      43:{1,4,5}:{(32,1),(33,1),(35,1),(50,1),(51,1),(52,1),(68,1)}
      44:{1,3,5}:{(34,1),(35,1),(51,1),(52,1)}
      45:{1,4}:{(36,1),(53,1),(68,1)}
      46:{2,3}:{(37,1),(53,1)}
      47:{1,2,4}:{(38,1),(45,1),(55,1),(56,1),(75,1)}
      48:{1,4,6}:{(39,1),(45,1),(57,1),(58,1)}
      49:{2,3,6}:{(40,1),(42,1),(46,1),(57,1),(59,1),(80,1)}
      50:{1,2,5}:{(40,1),(41,1),(43,1),(58,1),(59,1),(61,1)}
      51:{3,5}:{(42,1),(43,1),(60,1)}
      52:{1,4}:{(44,1),(60,1),(61,1)}
      53:{3,4}:{(45,1),(46,1),(62,1)}
      54:{1,4,5}:{(45,1),(56,1),(58,1),(62,1),(63,1),(71,1),(73,1)}
      55:{2,3,4}:{(47,1),(53,1),(64,1)}
      56:{1,2,5}:{(47,1),(54,1),(64,1),(65,1),(77,1)}
      57:{3,4,6}:{(48,1),(49,1),(53,1),(66,1),(68,1),(70,1),(78,1)}
      58:{1,5}:{(48,1),(66,1)}
      59:{2,3,5}:{(49,1),(50,1),(51,1),(66,1),(68,1),(69,1),(77,1)}
      60:{3,4}:{(51,1),(52,1),(68,1),(69,1)}
      61:{1,2}:{(52,1),(69,1)}
      62:{3,5}:{(53,1),(54,1),(70,1)}
      63:{1,4,6}:{(54,1),(65,1),(67,1),(70,1),(76,1),(78,1)}
      64:{2,3,5}:{(55,1),(56,1),(62,1),(71,1),(72,1)}
      65:{1,2,6}:{(56,1),(63,1),(72,1),(80,1)}
      66:{3,5}:{(57,1),(58,1),(73,1)}
      67:{1,5,6}:{(58,1),(63,1),(74,1),(79,1)}
      68:{4}:{(59,1)}
      69:{2,3}:{(60,1),(61,1),(75,1)}
      70:{3,6}:{(62,1),(63,1)}
      71:{4,5}:{(64,1),(76,1)}
      72:{2,3,6}:{(64,1),(65,1),(70,1),(76,1)}
      73:{4,5}:{(66,1),(68,1),(77,1),(78,1)}
      74:{3,5,6}:{(66,1),(67,1),(70,1),(78,1)}
      75:{2,4}:{(68,1),(69,1),(77,1)}
      76:{4,6}:{(71,1),(72,1),(79,1)}
      77:{2,5}:{(73,1),(75,1),(80,1)}
      78:{4,6}:{(73,1),(74,1),(80,1)}
      79:{5,6}:{(76,1)}
      80:{2,6}:{(77,1),(78,1)}

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

262 :   0:{1,4,5,6}:{(2,1),(3,1),(18,1),(20,1),(48,1),(144,1),(146,1),(154,1)}
        1:{1,3,4,6}:{(5,1),(6,1),(18,1),(23,1),(47,1),(155,1),(156,1),(158,1)}
        2:{1,2,5,6}:{(0,1),(7,1),(9,1),(29,1),(66,1),(69,1),(164,1)}
        3:{3,5,6}:{(0,1),(8,1),(71,1),(171,1)}
        4:{3,4,5}:{(8,1),(11,1),(12,1),(32,1),(36,1),(71,1),(123,1)}
        5:{1,3,5}:{(1,1),(12,1),(71,1),(181,1)}
        6:{1,2,3,6}:{(1,1),(13,1),(14,1),(29,1),(68,1),(81,1),(178,1)}
        7:{1,2,4,6}:{(2,1),(15,1),(16,1),(20,1),(43,1),(140,1),(142,1),(146,1)}
        8:{3,4,6}:{(3,1),(4,1),(17,1),(18,1),(20,1)}
        9:{2,3,5,6}:{(2,1),(3,1),(16,1),(17,1),(20,1),(44,1),(46,1),(95,1)}
       10:{1,3,5,6}:{(3,1),(5,1),(18,1),(154,1),(156,1)}
       11:{2,3,5}:{(4,1),(17,1),(21,1),(22,1),(46,1),(53,1)}
       12:{1,4,5}:{(4,1),(5,1),(18,1),(21,1),(23,1)}
       13:{1,2,3,5}:{(5,1),(6,1),(21,1),(23,1),(25,1),(53,1),(56,1),(95,1)}
       14:{1,2,4,6}:{(6,1),(23,1),(24,1),(25,1),(57,1),(157,1),(158,1),(159,1)}
       15:{1,2,4,5}:{(7,1),(26,1),(32,1),(61,1),(66,1),(69,1),(111,1),(113,1),(117,1),(123,1),(172,1)}
       16:{2,3,6}:{(7,1),(26,1),(28,1),(171,1)}
       17:{2,3,6}:{(8,1),(11,1),(29,1),(30,1)}
       18:{1,4,6}:{(8,1),(10,1),(12,1),(29,1)}
       19:{1,2,3,5,6}:{(9,1),(10,1),(13,1),(27,1),(29,1),(31,1),(39,1),(66,1),(68,1),(69,1),(71,1),(81,1),(119,1),(120,1),(122,1),(124,1),(131,1),(171,1),(174,1),(181,1)}
       20:{4,6}:{(9,1),(32,1),(123,1)}
       21:{1,2,5}:{(11,1),(12,1),(29,1),(34,1)}
       22:{2,4}:{(11,1),(123,1)}
       23:{1,4}:{(13,1),(36,1),(123,1)}
       24:{2,3,4,6}:{(14,1),(36,1),(38,1),(68,1),(81,1),(83,1),(123,1),(134,1),(135,1),(136,1),(175,1)}
       25:{1,2,5}:{(14,1),(37,1),(38,1),(181,1)}
       26:{2,3,5}:{(15,1),(16,1),(41,1),(44,1),(145,1),(190,1)}
       27:{1,2,3,6}:{(16,1),(40,1),(43,1),(142,1),(143,1)}
       28:{3,4,6}:{(16,1),(20,1),(41,1),(43,1),(44,1)}
       29:{1,2,6}:{(17,1),(18,1),(21,1)}
       30:{2,4,6}:{(17,1),(20,1),(22,1),(46,1)}
       31:{1,4,6}:{(19,1),(20,1),(23,1),(47,1),(48,1),(147,1),(152,1)}
       32:{4,5}:{(20,1),(44,1),(46,1)}
       33:{2,3,4}:{(22,1),(50,1),(51,1),(53,1),(105,1),(228,1),(229,1)}
       34:{1,2,4}:{(21,1),(22,1),(23,1),(53,1)}
       35:{2,4,5}:{(22,1),(46,1),(51,1),(55,1),(89,1),(227,1),(228,1)}
       36:{3,4}:{(23,1),(53,1),(56,1)}
       37:{1,4,5}:{(23,1),(25,1),(56,1),(57,1),(58,1)}
       38:{2,3,5}:{(24,1),(25,1),(56,1),(58,1),(162,1),(194,1)}
       39:{1,2,5,6}:{(25,1),(57,1),(59,1),(159,1),(160,1)}
       40:{1,2,3,5}:{(26,1),(27,1),(61,1),(66,1),(112,1),(113,1),(115,1)}
       41:{3,4}:{(26,1),(61,1),(123,1)}
       42:{2,3,4,6}:{(28,1),(30,1),(33,1),(60,1),(63,1),(64,1),(68,1),(76,1),(114,1),(118,1),(123,1),(135,1),(170,1),(171,1),(175,1),(202,1),(205,1),(221,1),(224,1)}
       43:{1,4,6}:{(27,1),(28,1),(61,1),(66,1)}
       44:{3,5}:{(28,1),(32,1),(66,1)}
       45:{1,2,4,6}:{(29,1),(30,1),(31,1),(34,1),(68,1),(69,1),(123,1),(172,1),(174,1),(175,1)}
       46:{2,5}:{(30,1),(32,1)}
       47:{3,4,6}:{(31,1),(36,1),(68,1),(71,1),(81,1),(123,1),(170,1),(171,1)}
       48:{1,4,5}:{(31,1),(32,1),(66,1),(69,1),(71,1),(123,1),(176,1),(181,1)}
       49:{4,5,6}:{(32,1),(67,1),(70,1),(118,1),(222,1)}
       50:{1,2,4}:{(33,1),(74,1),(75,1),(130,1)}
       51:{2,3,5}:{(33,1),(35,1),(73,1),(75,1),(76,1)}
       52:{1,3,4}:{(36,1),(74,1),(77,1),(130,1),(226,1)}
       53:{2,3}:{(34,1),(36,1)}
       54:{1,2,4,5}:{(34,1),(35,1),(37,1),(69,1),(75,1),(78,1),(79,1),(82,1),(117,1),(123,1),(130,1),(132,1),(172,1),(176,1),(181,1),(207,1),(211,1),(224,1),(225,1)}
       55:{2,4,6}:{(35,1),(70,1),(76,1),(118,1)}
       56:{3,5}:{(36,1),(37,1),(81,1)}
       57:{1,4,6}:{(37,1),(39,1),(81,1),(83,1)}
       58:{4,5}:{(38,1),(83,1),(123,1)}
       59:{2,3,5,6}:{(38,1),(39,1),(81,1),(83,1),(136,1),(137,1),(138,1)}
       60:{2,3,4}:{(41,1),(84,1),(85,1),(151,1),(186,1),(190,1)}
       61:{1,4}:{(40,1),(41,1)}
       62:{3,4,5}:{(41,1),(44,1),(85,1),(87,1),(88,1),(89,1),(145,1),(186,1),(214,1)}
       63:{1,2,4,6}:{(42,1),(43,1),(50,1),(84,1),(90,1),(91,1),(102,1),(142,1),(146,1),(147,1),(158,1),(188,1)}
       64:{2,3,5}:{(42,1),(44,1),(46,1),(89,1),(91,1),(145,1),(162,1),(194,1),(214,1),(227,1)}
       65:{1,3,4,6}:{(43,1),(47,1),(52,1),(86,1),(90,1),(93,1),(104,1),(143,1),(147,1),(150,1),(158,1),(188,1),(191,1)}
       66:{1,5}:{(43,1),(44,1)}
       67:{3,5,6}:{(44,1),(49,1),(88,1),(94,1),(214,1)}
       68:{2,3,6}:{(45,1),(47,1),(53,1),(95,1),(190,1)}
       69:{1,2,5}:{(45,1),(46,1),(48,1),(95,1),(194,1)}
       70:{2,5,6}:{(46,1),(49,1),(55,1),(227,1)}
       71:{3,5}:{(47,1),(48,1)}
       72:{1,4,5,6}:{(48,1),(49,1),(57,1),(94,1),(96,1),(98,1),(110,1),(146,1),(150,1),(152,1),(160,1),(193,1),(199,1)}
       73:{3,4,5}:{(51,1),(89,1),(99,1),(100,1),(105,1),(145,1),(162,1)}
       74:{1,2,3}:{(50,1),(52,1),(53,1),(229,1)}
       75:{1,2,5}:{(50,1),(51,1),(99,1),(102,1)}
       76:{2,3,6}:{(51,1),(55,1),(100,1),(102,1)}
       77:{1,3,5}:{(52,1),(56,1),(103,1),(104,1),(220,1)}
       78:{2,3,5}:{(53,1),(54,1),(56,1),(105,1),(106,1),(145,1),(162,1),(190,1),(220,1),(229,1)}
       79:{1,2,4,6}:{(54,1),(55,1),(57,1),(96,1),(102,1),(106,1),(109,1),(146,1),(152,1),(158,1),(159,1),(199,1)}
       80:{3,4,5}:{(56,1),(58,1),(103,1),(105,1),(107,1),(108,1),(162,1),(200,1),(220,1)}
       81:{3,6}:{(56,1),(57,1)}
       82:{2,4,5}:{(58,1),(107,1),(109,1),(151,1),(194,1),(200,1)}
       83:{4,6}:{(58,1),(59,1)}
       84:{1,2,4}:{(60,1),(61,1),(112,1),(113,1),(167,1)}
       85:{2,3,5}:{(60,1),(62,1),(111,1),(113,1),(114,1)}
       86:{1,3,4}:{(61,1),(112,1),(115,1),(167,1),(170,1)}
       87:{1,4,5}:{(61,1),(62,1),(66,1),(113,1),(115,1),(116,1),(167,1),(203,1)}
       88:{3,4,6}:{(62,1),(67,1),(114,1),(116,1),(118,1),(171,1)}
       89:{4,5}:{(64,1),(118,1),(123,1),(224,1)}
       90:{1,2,3,6}:{(63,1),(65,1),(68,1),(74,1),(112,1),(119,1),(171,1),(174,1),(205,1)}
       91:{1,2,5}:{(63,1),(64,1),(66,1),(117,1),(181,1),(203,1)}
       92:{2,3,5,6}:{(64,1),(67,1),(70,1),(76,1),(114,1),(118,1),(120,1),(127,1),(164,1),(171,1)}
       93:{1,3,5}:{(65,1),(66,1),(71,1),(121,1),(181,1),(203,1),(206,1)}
       94:{1,5,6}:{(66,1),(67,1),(116,1),(203,1)}
       95:{2,3,5}:{(68,1),(69,1),(71,1),(123,1)}
       96:{1,2,5,6}:{(69,1),(70,1),(72,1),(79,1),(124,1),(138,1),(174,1),(181,1),(207,1)}
       97:{3,4,5}:{(71,1),(121,1),(123,1),(125,1),(126,1),(170,1),(176,1),(206,1),(224,1)}
       98:{3,5,6}:{(71,1),(72,1),(81,1),(126,1),(171,1),(206,1),(212,1)}
       99:{1,4,5}:{(73,1),(75,1),(128,1),(129,1),(130,1),(181,1)}
      100:{3,4,6}:{(73,1),(76,1),(118,1),(127,1),(129,1),(171,1)}
      101:{1,2,3,5}:{(74,1),(75,1),(77,1),(78,1),(128,1),(130,1),(131,1),(132,1),(178,1),(181,1)}
      102:{1,2,6}:{(75,1),(76,1),(129,1)}
      103:{1,4,5}:{(77,1),(80,1),(130,1),(132,1),(133,1),(181,1)}
      104:{1,3,6}:{(77,1),(81,1),(133,1),(212,1)}
      105:{3,4}:{(78,1),(123,1),(130,1),(224,1)}
      106:{2,3,6}:{(78,1),(79,1),(81,1),(135,1),(171,1),(212,1)}
      107:{2,3,5}:{(80,1),(82,1),(132,1),(134,1),(136,1)}
      108:{3,4,6}:{(80,1),(81,1),(83,1),(133,1),(136,1),(137,1),(184,1),(212,1)}
      109:{2,4,6}:{(82,1),(83,1),(136,1),(138,1),(184,1)}
      110:{4,5,6}:{(83,1),(137,1),(138,1),(176,1),(184,1)}
      111:{2,4,5}:{(85,1),(89,1),(140,1),(151,1),(194,1)}
      112:{1,2,3}:{(84,1),(86,1),(190,1)}
      113:{1,2,5}:{(84,1),(85,1),(87,1),(142,1)}
      114:{2,3,6}:{(85,1),(88,1),(140,1),(142,1)}
      115:{1,3,5}:{(86,1),(87,1),(143,1),(145,1)}
      116:{1,4,6}:{(87,1),(88,1),(94,1),(142,1),(143,1)}
      117:{1,4,5}:{(89,1),(91,1),(145,1),(146,1),(147,1)}
      118:{4,6}:{(89,1),(92,1)}
      119:{1,2,3,5}:{(90,1),(91,1),(93,1),(95,1),(145,1),(147,1),(149,1),(190,1),(217,1)}
      120:{1,2,5,6}:{(91,1),(92,1),(94,1),(102,1),(142,1),(146,1),(154,1)}
      121:{1,4,5}:{(93,1),(97,1),(147,1),(149,1),(150,1)}
      122:{1,3,5,6}:{(93,1),(94,1),(98,1),(104,1),(143,1),(150,1),(160,1)}
      123:{4}:{(95,1)}
      124:{2,3,5,6}:{(95,1),(96,1),(98,1),(106,1),(152,1),(153,1),(162,1),(194,1),(217,1)}
      125:{2,3,5}:{(97,1),(149,1),(151,1),(153,1),(190,1),(194,1)}
      126:{3,4,6}:{(97,1),(98,1),(150,1),(152,1),(153,1)}
      127:{3,5,6}:{(100,1),(144,1),(154,1),(162,1)}
      128:{1,3,5}:{(99,1),(145,1),(155,1),(156,1)}
      129:{1,4,6}:{(99,1),(100,1),(102,1),(154,1),(156,1)}
      130:{1,4}:{(101,1),(105,1)}
      131:{1,2,3,6}:{(101,1),(102,1),(104,1),(106,1),(156,1),(158,1),(159,1)}
      132:{1,2,5}:{(103,1),(107,1),(157,1),(159,1)}
      133:{1,4,6}:{(103,1),(104,1),(108,1),(159,1),(160,1)}
      134:{2,3,4}:{(105,1),(107,1),(151,1),(157,1),(190,1)}
      135:{3,4,6}:{(105,1),(106,1),(152,1),(158,1),(162,1)}
      136:{2,3,6}:{(107,1),(108,1),(109,1),(159,1)}
      137:{3,5,6}:{(108,1),(110,1),(160,1),(162,1)}
      138:{2,5,6}:{(109,1),(110,1),(194,1)}
      139:{1,2,4,5}:{(111,1),(113,1),(117,1),(165,1),(166,1),(167,1),(172,1),(203,1),(207,1),(222,1),(224,1)}
      140:{2,4,6}:{(111,1),(114,1),(118,1),(164,1)}
      141:{1,2,3,5}:{(112,1),(113,1),(115,1),(165,1),(167,1),(168,1),(203,1)}
      142:{1,2,6}:{(113,1),(114,1),(116,1)}
      143:{1,3,6}:{(115,1),(116,1),(171,1)}
      144:{4,5,6}:{(118,1),(127,1),(164,1),(176,1)}
      145:{3,5}:{(117,1),(170,1),(171,1)}
      146:{1,4,6}:{(117,1),(118,1),(120,1),(171,1)}
      147:{1,4}:{(119,1),(123,1),(170,1),(224,1)}
      148:{1,2,3,5,6}:{(119,1),(120,1),(122,1),(124,1),(131,1),(168,1),(171,1),(173,1),(174,1),(177,1),(181,1),(182,1),(201,1),(203,1),(205,1),(206,1),(207,1),(208,1),(210,1),(212,1)}
      149:{1,2,5}:{(121,1),(125,1),(172,1),(174,1)}
      150:{1,4,6}:{(121,1),(122,1),(126,1),(174,1)}
      151:{2,4}:{(123,1),(125,1),(224,1)}
      152:{4,6}:{(123,1),(124,1),(176,1),(224,1)}
      153:{2,3,6}:{(125,1),(126,1),(174,1),(175,1)}
      154:{1,5,6}:{(127,1),(129,1),(181,1)}
      155:{1,3,4}:{(128,1),(130,1),(170,1),(178,1)}
      156:{1,3,6}:{(128,1),(129,1),(171,1)}
      157:{1,2,4}:{(130,1),(132,1),(134,1),(178,1)}
      158:{1,4,6}:{(130,1),(131,1),(135,1),(181,1)}
      159:{1,2,6}:{(132,1),(133,1),(136,1)}
      160:{1,5,6}:{(133,1),(137,1),(181,1)}
      161:{2,3,4,6}:{(134,1),(135,1),(136,1),(175,1),(180,1),(183,1),(184,1),(205,1),(212,1),(224,1),(226,1)}
      162:{3,5}:{(135,1),(176,1),(181,1)}
      163:{2,3,5,6}:{(136,1),(137,1),(138,1),(182,1),(183,1),(184,1),(212,1)}
      164:{2,5,6}:{(140,1),(144,1),(194,1)}
      165:{2,3,5}:{(139,1),(145,1),(186,1),(187,1),(190,1),(214,1)}
      166:{1,2,4,6}:{(139,1),(140,1),(142,1),(146,1),(185,1),(187,1),(188,1),(213,1)}
      167:{1,4}:{(141,1),(186,1)}
      168:{1,2,3,6}:{(141,1),(142,1),(143,1),(187,1),(188,1)}
      169:{1,4,5,6}:{(144,1),(146,1),(154,1),(185,1),(189,1),(193,1),(195,1),(213,1)}
      170:{3,4}:{(145,1),(147,1),(190,1)}
      171:{3,6}:{(145,1),(146,1)}
      172:{1,2,4}:{(147,1),(149,1),(151,1),(190,1)}
      173:{1,4,6}:{(147,1),(148,1),(152,1),(191,1),(193,1),(213,1),(219,1)}
      174:{1,2,6}:{(149,1),(150,1),(153,1)}
      175:{2,4,6}:{(151,1),(152,1),(153,1),(194,1)}
      176:{4,5}:{(152,1),(162,1),(194,1)}
      177:{1,3,5,6}:{(154,1),(156,1),(189,1),(195,1),(197,1)}
      178:{1,2,3}:{(155,1),(157,1),(190,1)}
      179:{1,3,4,6}:{(155,1),(156,1),(158,1),(191,1),(195,1),(196,1),(197,1),(219,1)}
      180:{1,2,4,6}:{(157,1),(158,1),(159,1),(161,1),(196,1),(198,1),(199,1),(219,1)}
      181:{1,5}:{(158,1),(162,1)}
      182:{1,2,5,6}:{(159,1),(160,1),(163,1),(198,1),(199,1)}
      183:{2,3,5}:{(161,1),(162,1),(194,1),(198,1),(200,1),(220,1)}
      184:{4,6}:{(163,1),(200,1)}
      185:{1,2,5,6}:{(164,1),(166,1),(169,1),(201,1),(203,1),(207,1),(208,1)}
      186:{3,4}:{(165,1),(167,1),(224,1)}
      187:{2,3,6}:{(165,1),(166,1),(171,1),(202,1)}
      188:{1,4,6}:{(167,1),(168,1),(202,1),(203,1)}
      189:{3,5,6}:{(169,1),(171,1),(204,1),(206,1)}
      190:{2,3}:{(170,1),(172,1)}
      191:{3,4,6}:{(170,1),(171,1),(173,1),(205,1),(206,1),(212,1),(224,1),(226,1)}
      192:{1,2,4,6}:{(172,1),(173,1),(174,1),(175,1),(205,1),(207,1),(208,1),(221,1),(224,1),(225,1)}
      193:{1,4,5}:{(173,1),(176,1),(181,1),(203,1),(206,1),(207,1),(222,1),(224,1)}
      194:{2,5}:{(175,1),(176,1)}
      195:{1,4,6}:{(177,1),(204,1),(208,1),(209,1)}
      196:{1,2,3,6}:{(178,1),(179,1),(180,1),(205,1),(208,1),(210,1),(212,1)}
      197:{1,3,5}:{(179,1),(181,1),(206,1),(209,1)}
      198:{1,2,5}:{(180,1),(181,1),(183,1),(211,1)}
      199:{1,4,6}:{(182,1),(184,1),(211,1),(212,1)}
      200:{4,5}:{(183,1),(184,1),(224,1)}
      201:{2,3,5,6}:{(185,1),(187,1),(189,1),(213,1),(214,1),(215,1),(217,1),(227,1)}
      202:{3,4,6}:{(186,1),(187,1),(188,1),(213,1),(214,1)}
      203:{1,5}:{(188,1),(214,1)}
      204:{3,4,6}:{(189,1),(195,1),(213,1),(215,1),(216,1)}
      205:{2,3,6}:{(190,1),(191,1),(192,1),(217,1),(229,1)}
      206:{3,5}:{(191,1),(193,1)}
      207:{1,2,5}:{(192,1),(193,1),(194,1),(217,1),(227,1)}
      208:{1,2,6}:{(195,1),(215,1),(218,1)}
      209:{1,4,5}:{(195,1),(197,1),(216,1),(218,1),(219,1)}
      210:{1,2,3,5}:{(196,1),(197,1),(198,1),(217,1),(218,1),(219,1),(220,1),(229,1)}
      211:{1,4,5}:{(198,1),(199,1),(200,1),(219,1),(220,1)}
      212:{3,6}:{(199,1),(220,1)}
      213:{4,6}:{(201,1),(222,1),(224,1)}
      214:{3,5}:{(202,1),(203,1),(222,1)}
      215:{2,3,6}:{(204,1),(208,1),(221,1),(223,1)}
      216:{3,4,5}:{(204,1),(206,1),(209,1),(222,1),(223,1),(224,1),(226,1)}
      217:{2,3,5}:{(205,1),(206,1),(207,1),(224,1)}
      218:{1,2,5}:{(208,1),(209,1),(223,1),(225,1)}
      219:{1,4}:{(210,1),(224,1),(226,1)}
      220:{3,5}:{(211,1),(212,1),(226,1)}
      221:{2,4,6}:{(213,1),(215,1),(227,1),(228,1)}
      222:{4,5}:{(213,1),(214,1),(227,1)}
      223:{2,3,5}:{(215,1),(216,1),(218,1),(227,1),(228,1),(229,1)}
      224:{4}:{(217,1)}
      225:{1,2,4}:{(218,1),(219,1),(228,1),(229,1)}
      226:{3,4}:{(219,1),(220,1),(229,1)}
      227:{2,5}:{(221,1),(222,1)}
      228:{2,4}:{(223,1),(224,1)}
      229:{2,3}:{(225,1),(226,1)}

263 :   0:{1,3,4,6}:{(1,1),(3,1),(10,1),(12,1),(33,1),(132,1),(134,1),(182,1)}
        1:{1,2,3,6}:{(0,1),(5,1),(6,1),(19,1),(51,1),(57,1),(114,1)}
        2:{2,3,4,6}:{(5,1),(7,1),(24,1),(25,1),(51,1),(57,1),(62,1),(65,1),(100,1),(107,1),(146,1)}
        3:{1,3,5}:{(0,1),(8,1),(50,1),(158,1)}
        4:{1,3,5,6}:{(3,1),(10,1),(30,1),(181,1),(182,1)}
        5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(36,1),(86,1),(88,1),(132,1)}
        6:{1,2,3,5}:{(1,1),(3,1),(11,1),(12,1),(15,1),(38,1),(39,1),(73,1)}
        7:{2,3,5}:{(2,1),(11,1),(14,1),(38,1),(133,1),(170,1)}
        8:{1,4,5}:{(3,1),(10,1),(12,1),(15,1),(16,1)}
        9:{1,2,3,5,6}:{(4,1),(6,1),(18,1),(19,1),(21,1),(47,1),(49,1),(50,1),(51,1),(57,1),(91,1),(97,1),(98,1),(99,1),(106,1),(143,1),(145,1),(154,1),(158,1),(196,1)}
       10:{1,4,6}:{(4,1),(8,1),(19,1),(20,1)}
       11:{1,2,5}:{(5,1),(7,1),(22,1),(158,1)}
       12:{1,4}:{(6,1),(24,1),(100,1)}
       13:{2,3,5,6}:{(7,1),(21,1),(25,1),(53,1),(54,1),(57,1),(62,1)}
       14:{4,5}:{(7,1),(25,1),(100,1)}
       15:{1,2,5}:{(8,1),(19,1),(23,1),(28,1)}
       16:{3,4,5}:{(8,1),(20,1),(24,1),(28,1),(50,1),(93,1),(100,1)}
       17:{1,4,5,6}:{(10,1),(29,1),(30,1),(31,1),(69,1),(176,1),(178,1),(181,1)}
       18:{1,4,6}:{(9,1),(12,1),(31,1),(33,1),(69,1),(125,1),(126,1)}
       19:{1,2,6}:{(10,1),(15,1),(35,1)}
       20:{3,4,6}:{(10,1),(16,1),(30,1),(35,1),(69,1)}
       21:{1,2,5,6}:{(11,1),(13,1),(36,1),(78,1),(86,1)}
       22:{1,4,5}:{(11,1),(12,1),(14,1),(36,1),(38,1)}
       23:{1,2,4}:{(12,1),(15,1),(39,1),(45,1)}
       24:{3,4}:{(12,1),(38,1),(39,1)}
       25:{4,6}:{(13,1),(14,1)}
       26:{2,4,5}:{(14,1),(41,1),(43,1),(123,1),(131,1),(170,1)}
       27:{3,4,5}:{(14,1),(38,1),(42,1),(43,1),(44,1),(83,1),(131,1),(133,1),(179,1)}
       28:{2,3,5}:{(15,1),(16,1),(35,1),(39,1),(45,1),(79,1)}
       29:{1,2,5,6}:{(17,1),(19,1),(46,1),(47,1),(49,1),(143,1),(191,1)}
       30:{3,5,6}:{(17,1),(20,1),(50,1),(196,1)}
       31:{1,4,5}:{(18,1),(49,1),(50,1),(93,1),(100,1),(143,1),(150,1),(158,1)}
       32:{1,2,4,6}:{(18,1),(19,1),(23,1),(49,1),(51,1),(55,1),(100,1),(145,1),(146,1),(147,1)}
       33:{3,4,6}:{(18,1),(24,1),(50,1),(51,1),(57,1),(100,1),(151,1),(196,1)}
       34:{4,5,6}:{(25,1),(53,1),(54,1),(104,1),(150,1)}
       35:{2,3,6}:{(19,1),(20,1),(28,1),(55,1)}
       36:{1,4,6}:{(21,1),(22,1),(25,1),(57,1)}
       37:{1,2,4,5}:{(22,1),(23,1),(26,1),(49,1),(56,1),(58,1),(64,1),(66,1),(100,1),(108,1),(110,1),(147,1),(150,1),(152,1),(156,1),(158,1),(190,1),(200,1),(215,1)}
       38:{3,5}:{(22,1),(24,1),(57,1)}
       39:{2,3}:{(23,1),(24,1)}
       40:{1,3,4}:{(24,1),(59,1),(60,1),(108,1),(197,1)}
       41:{2,4,6}:{(25,1),(26,1),(53,1),(62,1),(104,1)}
       42:{3,4,6}:{(25,1),(27,1),(54,1),(57,1),(62,1),(63,1),(104,1),(155,1)}
       43:{2,3,5}:{(26,1),(27,1),(62,1),(64,1),(65,1)}
       44:{1,4,5}:{(27,1),(59,1),(63,1),(64,1),(108,1),(158,1)}
       45:{2,4}:{(28,1),(100,1)}
       46:{1,2,4,6}:{(29,1),(67,1),(68,1),(69,1),(117,1),(173,1),(178,1),(202,1)}
       47:{2,3,5,6}:{(29,1),(30,1),(35,1),(68,1),(69,1),(73,1),(79,1),(118,1)}
       48:{1,4,5,6}:{(31,1),(34,1),(36,1),(71,1),(72,1),(78,1),(119,1),(121,1),(125,1),(130,1),(168,1),(175,1),(178,1)}
       49:{1,2,5}:{(31,1),(32,1),(73,1),(79,1),(170,1)}
       50:{3,5}:{(31,1),(33,1)}
       51:{2,3,6}:{(32,1),(33,1),(39,1),(73,1),(171,1)}
       52:{1,3,4,6}:{(33,1),(40,1),(74,1),(75,1),(81,1),(117,1),(121,1),(126,1),(132,1),(165,1),(174,1),(203,1),(221,1)}
       53:{2,5,6}:{(34,1),(41,1),(170,1)}
       54:{3,5,6}:{(34,1),(42,1),(78,1),(133,1)}
       55:{2,4,6}:{(35,1),(45,1),(69,1),(79,1)}
       56:{1,2,4,6}:{(36,1),(37,1),(41,1),(71,1),(80,1),(86,1),(89,1),(125,1),(130,1),(132,1),(137,1),(178,1)}
       57:{3,6}:{(36,1),(38,1)}
       58:{2,3,5}:{(37,1),(38,1),(39,1),(80,1),(83,1),(133,1),(171,1),(177,1),(179,1),(210,1)}
       59:{1,3,5}:{(38,1),(40,1),(44,1),(81,1),(179,1)}
       60:{1,2,3}:{(39,1),(40,1),(84,1),(210,1)}
       61:{2,3,4}:{(39,1),(45,1),(83,1),(84,1),(85,1),(210,1),(222,1)}
       62:{2,3,6}:{(41,1),(42,1),(43,1),(86,1)}
       63:{1,4,6}:{(42,1),(44,1),(78,1),(81,1),(86,1)}
       64:{1,2,5}:{(43,1),(44,1),(86,1),(88,1)}
       65:{2,3,4}:{(43,1),(83,1),(88,1),(123,1),(171,1)}
       66:{2,4,5}:{(45,1),(79,1),(85,1),(89,1),(127,1),(222,1),(229,1)}
       67:{1,2,4,5}:{(46,1),(49,1),(90,1),(93,1),(100,1),(141,1),(143,1),(147,1),(148,1),(152,1),(185,1)}
       68:{2,3,6}:{(46,1),(90,1),(92,1),(196,1)}
       69:{4,6}:{(47,1),(93,1),(100,1)}
       70:{3,4,5}:{(50,1),(94,1),(95,1),(96,1),(100,1),(150,1),(151,1),(194,1),(215,1)}
       71:{1,2,5,6}:{(48,1),(49,1),(53,1),(56,1),(97,1),(105,1),(145,1),(158,1),(190,1)}
       72:{3,5,6}:{(48,1),(50,1),(57,1),(94,1),(155,1),(194,1),(196,1)}
       73:{2,3,5}:{(49,1),(50,1),(51,1),(100,1)}
       74:{1,3,5}:{(50,1),(52,1),(96,1),(143,1),(158,1),(194,1),(226,1)}
       75:{1,2,3,6}:{(51,1),(52,1),(60,1),(99,1),(101,1),(145,1),(184,1),(189,1),(196,1)}
       76:{2,3,4,6}:{(51,1),(55,1),(61,1),(92,1),(100,1),(101,1),(102,1),(107,1),(111,1),(140,1),(146,1),(151,1),(153,1),(186,1),(189,1),(196,1),(215,1),(217,1),(227,1)}
       77:{2,3,5,6}:{(53,1),(54,1),(62,1),(103,1),(104,1),(113,1),(155,1)}
       78:{1,5,6}:{(54,1),(63,1),(158,1)}
       79:{2,5}:{(55,1),(93,1)}
       80:{2,3,6}:{(56,1),(57,1),(58,1),(107,1),(155,1),(196,1)}
       81:{1,3,6}:{(57,1),(59,1),(63,1),(155,1)}
       82:{1,2,3,5}:{(58,1),(59,1),(60,1),(64,1),(106,1),(108,1),(110,1),(114,1),(158,1),(160,1)}
       83:{3,4}:{(58,1),(100,1),(108,1),(215,1)}
       84:{1,2,4}:{(60,1),(61,1),(108,1),(110,1)}
       85:{2,3,5}:{(61,1),(66,1),(109,1),(110,1),(111,1)}
       86:{1,2,6}:{(62,1),(63,1),(64,1)}
       87:{2,3,4,6}:{(62,1),(65,1),(104,1),(107,1),(112,1),(113,1),(146,1),(155,1),(189,1),(197,1),(215,1)}
       88:{1,2,4}:{(64,1),(65,1),(108,1),(114,1)}
       89:{2,4,6}:{(66,1),(105,1),(111,1),(153,1)}
       90:{2,3,5}:{(67,1),(68,1),(116,1),(118,1),(171,1),(177,1)}
       91:{1,2,3,6}:{(68,1),(115,1),(117,1),(202,1),(203,1)}
       92:{3,4,6}:{(68,1),(69,1),(116,1),(117,1),(118,1)}
       93:{4,5}:{(69,1),(79,1),(118,1)}
       94:{3,4,6}:{(70,1),(72,1),(120,1),(121,1),(125,1)}
       95:{2,3,5}:{(70,1),(120,1),(122,1),(123,1),(170,1),(171,1)}
       96:{1,4,5}:{(70,1),(74,1),(121,1),(122,1),(126,1)}
       97:{2,3,5,6}:{(71,1),(72,1),(73,1),(80,1),(120,1),(125,1),(133,1),(170,1),(204,1)}
       98:{1,3,5,6}:{(72,1),(74,1),(78,1),(81,1),(121,1),(168,1),(203,1)}
       99:{1,2,3,5}:{(73,1),(74,1),(75,1),(122,1),(126,1),(128,1),(171,1),(177,1),(204,1)}
      100:{4}:{(73,1)}
      101:{1,2,4,6}:{(75,1),(76,1),(84,1),(117,1),(126,1),(128,1),(132,1),(137,1),(163,1),(178,1),(202,1),(221,1)}
      102:{2,3,5}:{(76,1),(79,1),(118,1),(127,1),(128,1),(133,1),(170,1),(177,1),(224,1),(229,1)}
      103:{1,2,5,6}:{(77,1),(78,1),(86,1),(130,1),(139,1)}
      104:{4,6}:{(77,1),(131,1)}
      105:{2,5,6}:{(79,1),(89,1),(119,1),(229,1)}
      106:{1,2,3,6}:{(80,1),(81,1),(82,1),(86,1),(132,1),(137,1),(182,1)}
      107:{3,4,6}:{(80,1),(83,1),(125,1),(132,1),(133,1)}
      108:{1,4}:{(82,1),(83,1)}
      109:{3,4,5}:{(83,1),(85,1),(127,1),(133,1),(135,1),(136,1),(177,1)}
      110:{1,2,5}:{(84,1),(85,1),(135,1),(137,1)}
      111:{2,3,6}:{(85,1),(89,1),(136,1),(137,1)}
      112:{1,2,4,6}:{(86,1),(87,1),(88,1),(130,1),(132,1),(138,1),(139,1),(183,1)}
      113:{2,3,5}:{(87,1),(131,1),(133,1),(139,1),(170,1),(179,1)}
      114:{1,2,3}:{(88,1),(134,1),(171,1)}
      115:{1,2,3,5}:{(90,1),(91,1),(141,1),(143,1),(184,1),(185,1),(187,1)}
      116:{3,4}:{(90,1),(100,1),(141,1)}
      117:{1,4,6}:{(91,1),(92,1),(141,1),(143,1)}
      118:{3,5}:{(92,1),(93,1),(143,1)}
      119:{4,5,6}:{(93,1),(105,1),(144,1),(153,1),(228,1)}
      120:{2,3,6}:{(94,1),(95,1),(145,1),(146,1)}
      121:{1,4,6}:{(94,1),(96,1),(98,1),(145,1)}
      122:{1,2,5}:{(95,1),(96,1),(145,1),(147,1)}
      123:{2,4}:{(95,1),(100,1),(215,1)}
      124:{1,2,3,5,6}:{(97,1),(98,1),(99,1),(103,1),(106,1),(145,1),(149,1),(154,1),(155,1),(158,1),(162,1),(189,1),(190,1),(194,1),(196,1),(199,1),(214,1),(216,1),(220,1),(226,1)}
      125:{4,6}:{(97,1),(100,1),(150,1),(215,1)}
      126:{1,4}:{(99,1),(100,1),(151,1),(215,1)}
      127:{4,5}:{(100,1),(102,1),(153,1),(215,1)}
      128:{1,2,5}:{(101,1),(102,1),(143,1),(152,1),(158,1),(226,1)}
      129:{2,3,5,6}:{(102,1),(105,1),(111,1),(144,1),(153,1),(154,1),(159,1),(186,1),(191,1),(196,1)}
      130:{1,4,6}:{(103,1),(104,1),(155,1),(156,1)}
      131:{4,5}:{(104,1),(113,1),(215,1)}
      132:{1,4,6}:{(106,1),(107,1),(108,1),(158,1)}
      133:{3,5}:{(107,1),(150,1),(158,1)}
      134:{1,3,4}:{(108,1),(114,1),(151,1),(160,1)}
      135:{1,4,5}:{(108,1),(109,1),(110,1),(158,1),(160,1),(161,1)}
      136:{3,4,6}:{(109,1),(111,1),(153,1),(159,1),(161,1),(196,1)}
      137:{1,2,6}:{(110,1),(111,1),(161,1)}
      138:{1,2,3,6}:{(112,1),(114,1),(155,1),(157,1),(162,1),(189,1),(220,1)}
      139:{1,2,5}:{(112,1),(113,1),(156,1),(158,1)}
      140:{2,3,4}:{(116,1),(123,1),(163,1),(164,1),(171,1),(206,1)}
      141:{1,4}:{(115,1),(116,1)}
      142:{3,4,5}:{(116,1),(118,1),(127,1),(164,1),(166,1),(167,1),(177,1),(206,1),(224,1)}
      143:{1,5}:{(117,1),(118,1)}
      144:{3,5,6}:{(118,1),(119,1),(167,1),(168,1),(224,1)}
      145:{1,2,6}:{(120,1),(121,1),(122,1)}
      146:{2,4,6}:{(120,1),(123,1),(125,1),(170,1)}
      147:{1,2,4}:{(122,1),(123,1),(126,1),(171,1)}
      148:{2,4,5}:{(123,1),(127,1),(164,1),(170,1),(173,1)}
      149:{1,4,6}:{(124,1),(125,1),(126,1),(174,1),(175,1),(183,1),(223,1)}
      150:{4,5}:{(125,1),(133,1),(170,1)}
      151:{3,4}:{(126,1),(171,1),(177,1)}
      152:{1,4,5}:{(126,1),(127,1),(128,1),(177,1),(178,1)}
      153:{4,6}:{(127,1),(129,1)}
      154:{1,2,5,6}:{(128,1),(129,1),(137,1),(168,1),(178,1),(181,1),(202,1)}
      155:{3,6}:{(130,1),(179,1)}
      156:{1,4,5}:{(130,1),(131,1),(139,1),(179,1),(183,1)}
      157:{1,3,4,6}:{(132,1),(134,1),(138,1),(174,1),(180,1),(182,1),(183,1),(212,1)}
      158:{1,5}:{(132,1),(133,1)}
      159:{3,5,6}:{(133,1),(136,1),(176,1),(181,1)}
      160:{1,3,5}:{(134,1),(135,1),(177,1),(182,1)}
      161:{1,4,6}:{(135,1),(136,1),(137,1),(181,1),(182,1)}
      162:{1,2,3,5}:{(138,1),(139,1),(179,1),(180,1),(183,1),(204,1),(210,1),(211,1)}
      163:{1,2,4}:{(140,1),(141,1),(184,1),(185,1),(213,1)}
      164:{2,3,5}:{(140,1),(142,1),(148,1),(185,1),(186,1)}
      165:{1,3,4}:{(141,1),(151,1),(184,1),(187,1),(213,1)}
      166:{1,4,5}:{(141,1),(142,1),(143,1),(185,1),(187,1),(188,1),(213,1),(226,1)}
      167:{3,4,6}:{(142,1),(144,1),(153,1),(186,1),(188,1),(196,1)}
      168:{1,5,6}:{(143,1),(144,1),(188,1),(226,1)}
      169:{1,2,4,6}:{(145,1),(146,1),(147,1),(149,1),(189,1),(190,1),(200,1),(215,1),(220,1),(227,1)}
      170:{2,5}:{(146,1),(150,1)}
      171:{2,3}:{(147,1),(151,1)}
      172:{1,2,4,5}:{(147,1),(148,1),(152,1),(185,1),(190,1),(192,1),(193,1),(213,1),(215,1),(226,1),(228,1)}
      173:{2,4,6}:{(148,1),(153,1),(186,1),(191,1)}
      174:{3,4,6}:{(149,1),(151,1),(155,1),(189,1),(194,1),(196,1),(197,1),(215,1)}
      175:{1,4,5}:{(149,1),(150,1),(158,1),(190,1),(194,1),(215,1),(226,1),(228,1)}
      176:{4,5,6}:{(150,1),(153,1),(159,1),(191,1)}
      177:{3,5}:{(151,1),(152,1),(196,1)}
      178:{1,4,6}:{(152,1),(153,1),(154,1),(196,1)}
      179:{3,5}:{(155,1),(156,1),(197,1)}
      180:{1,3,5}:{(157,1),(158,1),(194,1),(198,1)}
      181:{1,5,6}:{(158,1),(159,1),(161,1)}
      182:{1,3,6}:{(160,1),(161,1),(196,1)}
      183:{1,4}:{(162,1),(197,1),(215,1)}
      184:{1,2,3}:{(163,1),(165,1),(171,1)}
      185:{1,2,5}:{(163,1),(164,1),(166,1),(202,1)}
      186:{2,3,6}:{(164,1),(167,1),(173,1),(202,1)}
      187:{1,3,5}:{(165,1),(166,1),(177,1),(203,1)}
      188:{1,4,6}:{(166,1),(167,1),(168,1),(202,1),(203,1)}
      189:{2,3,6}:{(169,1),(171,1),(174,1),(204,1),(210,1)}
      190:{1,2,5}:{(169,1),(170,1),(175,1),(204,1),(229,1)}
      191:{2,5,6}:{(170,1),(173,1),(176,1)}
      192:{2,3,5}:{(171,1),(172,1),(177,1),(206,1),(207,1),(224,1)}
      193:{1,2,4,6}:{(172,1),(173,1),(178,1),(202,1),(205,1),(207,1),(221,1),(223,1)}
      194:{3,5}:{(174,1),(175,1)}
      195:{1,4,5,6}:{(175,1),(176,1),(178,1),(181,1),(205,1),(209,1),(212,1),(223,1)}
      196:{3,6}:{(177,1),(178,1)}
      197:{3,4}:{(179,1),(183,1),(210,1)}
      198:{1,4,5}:{(180,1),(183,1),(208,1),(211,1),(212,1)}
      199:{1,3,5,6}:{(180,1),(181,1),(182,1),(209,1),(212,1)}
      200:{1,2,4}:{(183,1),(210,1),(211,1),(222,1)}
      201:{1,2,3,5}:{(184,1),(185,1),(187,1),(192,1),(213,1),(214,1),(226,1)}
      202:{1,2,6}:{(185,1),(186,1),(188,1)}
      203:{1,3,6}:{(187,1),(188,1),(196,1)}
      204:{2,3,5}:{(189,1),(190,1),(194,1),(215,1)}
      205:{1,2,5,6}:{(190,1),(191,1),(193,1),(195,1),(216,1),(220,1),(226,1)}
      206:{3,4}:{(192,1),(213,1),(215,1)}
      207:{2,3,6}:{(192,1),(193,1),(196,1),(217,1)}
      208:{3,4,5}:{(194,1),(197,1),(198,1),(215,1),(218,1),(219,1),(228,1)}
      209:{3,5,6}:{(194,1),(195,1),(196,1),(219,1)}
      210:{2,3}:{(197,1),(200,1)}
      211:{1,2,5}:{(198,1),(200,1),(218,1),(220,1)}
      212:{1,4,6}:{(198,1),(199,1),(219,1),(220,1)}
      213:{1,4}:{(201,1),(206,1)}
      214:{1,2,3,6}:{(201,1),(202,1),(203,1),(207,1),(221,1)}
      215:{4}:{(204,1)}
      216:{2,3,5,6}:{(204,1),(205,1),(207,1),(209,1),(223,1),(224,1),(225,1),(229,1)}
      217:{3,4,6}:{(206,1),(207,1),(221,1),(223,1),(224,1)}
      218:{2,3,5}:{(208,1),(210,1),(211,1),(222,1),(225,1),(229,1)}
      219:{3,4,6}:{(208,1),(209,1),(212,1),(223,1),(225,1)}
      220:{1,2,6}:{(211,1),(212,1),(225,1)}
      221:{1,4,6}:{(213,1),(214,1),(217,1),(226,1)}
      222:{2,4}:{(215,1),(218,1)}
      223:{4,6}:{(215,1),(216,1),(228,1)}
      224:{3,5}:{(217,1),(226,1),(228,1)}
      225:{2,3,6}:{(218,1),(219,1),(220,1),(227,1)}
      226:{1,5}:{(221,1),(224,1)}
      227:{2,4,6}:{(222,1),(223,1),(225,1),(229,1)}
      228:{4,5}:{(223,1),(224,1),(229,1)}
      229:{2,5}:{(227,1),(228,1)}

264 :  0:{1,3,4}:{(2,1),(3,1),(20,1),(75,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(31,1),(51,1),(54,1),(69,1),(70,1)}
       2:{1,3,5}:{(0,1),(8,1),(9,1),(69,1)}
       3:{1,2,3}:{(0,1),(11,1),(79,1)}
       4:{2,3,4}:{(11,1),(12,1),(31,1)}
       5:{4,5,6}:{(13,1),(14,1),(38,1),(64,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(38,1),(61,1)}
       7:{2,3,5}:{(1,1),(15,1),(17,1),(18,1),(40,1),(41,1)}
       8:{1,4,5}:{(1,1),(2,1),(16,1),(17,1),(20,1),(43,1)}
       9:{1,3,6}:{(2,1),(16,1),(61,1)}
      10:{1,2,3,5}:{(2,1),(3,1),(17,1),(19,1),(20,1),(22,1),(41,1),(43,1),(45,1),(63,1)}
      11:{1,2,4}:{(3,1),(4,1),(20,1),(22,1),(76,1)}
      12:{2,3,5}:{(4,1),(21,1),(22,1),(23,1),(45,1)}
      13:{2,5,6}:{(5,1),(24,1),(71,1)}
      14:{3,5,6}:{(5,1),(6,1),(26,1),(54,1)}
      15:{2,3,6}:{(6,1),(7,1),(27,1),(28,1)}
      16:{1,4,6}:{(6,1),(8,1),(9,1),(26,1),(27,1)}
      17:{1,2,5}:{(7,1),(8,1),(27,1),(29,1)}
      18:{2,4}:{(7,1),(70,1)}
      19:{1,2,3,6}:{(9,1),(10,1),(27,1),(30,1),(34,1),(52,1),(56,1)}
      20:{1,4}:{(10,1),(31,1),(70,1)}
      21:{4,5}:{(12,1),(33,1)}
      22:{1,2,5}:{(11,1),(12,1),(32,1),(34,1),(71,1)}
      23:{2,3,6}:{(12,1),(33,1),(34,1),(56,1)}
      24:{2,4,6}:{(13,1),(35,1),(36,1),(38,1),(76,1)}
      25:{2,3,5,6}:{(13,1),(14,1),(15,1),(36,1),(37,1),(38,1),(40,1),(60,1),(61,1),(63,1)}
      26:{1,5,6}:{(14,1),(16,1),(43,1)}
      27:{1,2,6}:{(15,1),(16,1),(17,1)}
      28:{2,4,6}:{(15,1),(18,1),(38,1),(40,1)}
      29:{1,2,4}:{(17,1),(18,1),(20,1),(41,1)}
      30:{1,4,6}:{(19,1),(20,1),(42,1),(43,1)}
      31:{3,4}:{(20,1),(41,1),(45,1)}
      32:{1,4,5}:{(20,1),(21,1),(22,1),(43,1),(45,1),(46,1),(64,1)}
      33:{4,6}:{(21,1),(23,1),(44,1)}
      34:{1,2,6}:{(22,1),(23,1),(46,1),(77,1)}
      35:{2,4,5}:{(24,1),(47,1),(51,1)}
      36:{2,3,6}:{(24,1),(47,1),(48,1),(49,1),(79,1)}
      37:{1,2,5,6}:{(25,1),(26,1),(27,1),(48,1),(50,1),(53,1),(68,1)}
      38:{4,6}:{(25,1),(51,1),(70,1)}
      39:{1,2,4,6}:{(27,1),(28,1),(29,1),(30,1),(50,1),(52,1),(53,1),(70,1)}
      40:{2,5}:{(28,1),(51,1)}
      41:{2,3}:{(29,1),(31,1)}
      42:{3,4,6}:{(30,1),(31,1),(52,1),(54,1),(56,1),(70,1),(72,1)}
      43:{1,5}:{(30,1),(54,1)}
      44:{5,6}:{(33,1)}
      45:{3,5}:{(31,1),(32,1),(56,1)}
      46:{1,4,6}:{(32,1),(33,1),(34,1),(55,1),(56,1),(72,1)}
      47:{2,3,5}:{(35,1),(36,1),(57,1),(58,1),(60,1)}
      48:{1,2,6}:{(36,1),(57,1),(59,1),(80,1)}
      49:{3,4,6}:{(36,1),(38,1),(58,1),(59,1),(60,1),(61,1),(75,1)}
      50:{1,4,6}:{(37,1),(38,1),(61,1),(62,1)}
      51:{4,5}:{(38,1),(40,1),(60,1)}
      52:{2,3,6}:{(39,1),(41,1),(42,1),(61,1),(63,1),(77,1)}
      53:{1,2,5}:{(39,1),(40,1),(43,1),(62,1),(63,1),(80,1)}
      54:{3,5}:{(42,1),(43,1),(64,1)}
      55:{1,5,6}:{(43,1),(44,1),(46,1),(65,1)}
      56:{3,6}:{(45,1),(46,1)}
      57:{1,2,5}:{(47,1),(48,1),(66,1),(68,1)}
      58:{3,4}:{(47,1),(66,1)}
      59:{1,4,6}:{(48,1),(49,1),(66,1),(67,1),(68,1),(78,1)}
      60:{3,5}:{(49,1),(51,1),(68,1)}
      61:{3,6}:{(50,1),(69,1)}
      62:{1,4,5}:{(50,1),(51,1),(53,1),(68,1),(69,1),(70,1),(78,1)}
      63:{2,3,5}:{(52,1),(53,1),(54,1),(69,1),(70,1),(71,1),(79,1)}
      64:{4,5}:{(54,1),(70,1),(71,1),(72,1)}
      65:{3,5,6}:{(54,1),(55,1),(56,1),(72,1)}
      66:{1,4}:{(57,1),(58,1),(73,1)}
      67:{1,3,6}:{(59,1),(61,1),(73,1),(74,1)}
      68:{1,5}:{(59,1),(60,1)}
      69:{3,5}:{(61,1),(62,1),(75,1)}
      70:{4}:{(63,1)}
      71:{2,5}:{(64,1),(76,1),(77,1)}
      72:{4,6}:{(64,1),(65,1),(77,1)}
      73:{1,3}:{(66,1)}
      74:{1,3,5}:{(67,1),(68,1),(69,1),(78,1)}
      75:{3,4}:{(69,1),(70,1),(78,1),(79,1)}
      76:{2,4}:{(70,1),(71,1),(79,1)}
      77:{2,6}:{(71,1),(72,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{2,3}:{(75,1),(76,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

265 :  0:{4,5,6}:{(1,1),(2,1),(17,1),(74,1)}
       1:{2,5,6}:{(0,1),(5,1),(78,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1),(67,1)}
       3:{2,4,5}:{(5,1),(9,1),(30,1)}
       4:{3,4,5}:{(6,1),(10,1),(11,1),(30,1),(52,1),(53,1),(67,1),(69,1)}
       5:{2,4,6}:{(1,1),(3,1),(13,1),(17,1),(76,1)}
       6:{3,4,6}:{(2,1),(4,1),(14,1),(15,1),(17,1),(40,1)}
       7:{2,3,5,6}:{(1,1),(2,1),(13,1),(14,1),(16,1),(17,1),(36,1),(39,1),(40,1),(60,1)}
       8:{1,5,6}:{(2,1),(15,1),(59,1)}
       9:{2,3,5}:{(3,1),(13,1),(18,1),(19,1),(36,1)}
      10:{2,3,5}:{(4,1),(14,1),(21,1),(22,1),(39,1),(44,1)}
      11:{1,4,5}:{(4,1),(15,1),(20,1),(21,1),(43,1),(59,1)}
      12:{1,3,4}:{(20,1),(23,1),(43,1),(61,1)}
      13:{2,3,6}:{(5,1),(9,1),(24,1),(25,1),(70,1)}
      14:{2,3,6}:{(6,1),(10,1),(27,1),(28,1)}
      15:{1,4,6}:{(6,1),(8,1),(11,1),(26,1),(27,1)}
      16:{1,2,5,6}:{(7,1),(8,1),(24,1),(27,1),(29,1),(48,1),(51,1)}
      17:{4,6}:{(7,1),(30,1),(69,1)}
      18:{1,2,5}:{(9,1),(24,1),(31,1),(48,1)}
      19:{3,4}:{(9,1),(31,1)}
      20:{1,3,5}:{(11,1),(12,1),(26,1),(52,1)}
      21:{1,2,5}:{(10,1),(11,1),(27,1),(33,1)}
      22:{2,4}:{(10,1),(69,1)}
      23:{1,2,3}:{(12,1),(34,1),(70,1)}
      24:{1,2,6}:{(13,1),(18,1),(35,1),(73,1)}
      25:{3,4,6}:{(13,1),(17,1),(19,1),(35,1),(36,1),(40,1),(61,1)}
      26:{1,3,6}:{(15,1),(20,1),(40,1)}
      27:{1,2,6}:{(14,1),(15,1),(21,1)}
      28:{2,4,6}:{(14,1),(17,1),(22,1),(39,1)}
      29:{1,4,6}:{(16,1),(17,1),(40,1),(41,1)}
      30:{4,5}:{(17,1),(36,1),(39,1)}
      31:{1,4}:{(18,1),(19,1),(42,1)}
      32:{1,2,3,5}:{(20,1),(21,1),(23,1),(37,1),(43,1),(44,1),(46,1),(59,1),(60,1),(62,1)}
      33:{1,2,4}:{(21,1),(22,1),(43,1),(44,1)}
      34:{1,2,4}:{(23,1),(43,1),(45,1),(46,1),(76,1)}
      35:{1,4,6}:{(24,1),(25,1),(31,1),(47,1),(48,1),(66,1)}
      36:{3,5}:{(25,1),(30,1),(48,1)}
      37:{1,2,3,6}:{(26,1),(27,1),(32,1),(49,1),(50,1),(56,1),(71,1)}
      38:{1,2,4,6}:{(27,1),(28,1),(29,1),(33,1),(49,1),(50,1),(51,1),(69,1)}
      39:{2,5}:{(28,1),(30,1)}
      40:{3,6}:{(29,1),(52,1)}
      41:{1,4,5}:{(29,1),(30,1),(48,1),(51,1),(52,1),(66,1),(69,1)}
      42:{1,3}:{(31,1)}
      43:{1,4}:{(32,1),(53,1),(69,1)}
      44:{2,3}:{(33,1),(53,1)}
      45:{2,3,4}:{(34,1),(53,1),(55,1)}
      46:{1,2,5}:{(34,1),(54,1),(55,1),(56,1),(78,1)}
      47:{1,3,6}:{(35,1),(40,1),(42,1),(57,1)}
      48:{1,5}:{(35,1),(36,1)}
      49:{1,4,6}:{(37,1),(43,1),(58,1),(59,1)}
      50:{2,3,6}:{(38,1),(40,1),(44,1),(58,1),(60,1),(80,1)}
      51:{1,2,5}:{(38,1),(39,1),(41,1),(59,1),(60,1),(73,1)}
      52:{3,5}:{(40,1),(41,1),(61,1)}
      53:{3,4}:{(43,1),(44,1),(62,1)}
      54:{1,4,5}:{(43,1),(46,1),(59,1),(62,1),(63,1),(64,1),(74,1)}
      55:{2,3,5}:{(45,1),(46,1),(62,1),(64,1),(65,1)}
      56:{1,2,6}:{(46,1),(63,1),(65,1),(80,1)}
      57:{1,3,5}:{(47,1),(48,1),(52,1),(66,1)}
      58:{3,4,6}:{(49,1),(50,1),(53,1),(67,1),(69,1),(71,1),(79,1)}
      59:{1,5}:{(49,1),(67,1)}
      60:{2,3,5}:{(50,1),(51,1),(52,1),(67,1),(69,1),(70,1),(78,1)}
      61:{3,4}:{(52,1),(66,1),(69,1),(70,1)}
      62:{3,5}:{(53,1),(54,1),(71,1)}
      63:{1,4,6}:{(54,1),(56,1),(68,1),(71,1),(72,1),(79,1)}
      64:{4,5}:{(55,1),(72,1)}
      65:{2,3,6}:{(55,1),(56,1),(71,1),(72,1)}
      66:{1,4}:{(57,1),(61,1),(73,1)}
      67:{3,5}:{(58,1),(59,1),(74,1)}
      68:{1,5,6}:{(59,1),(63,1),(75,1),(77,1)}
      69:{4}:{(60,1)}
      70:{2,3}:{(61,1),(73,1),(76,1)}
      71:{3,6}:{(62,1),(63,1)}
      72:{4,6}:{(64,1),(65,1),(77,1)}
      73:{1,2}:{(66,1),(70,1)}
      74:{4,5}:{(67,1),(69,1),(78,1),(79,1)}
      75:{3,5,6}:{(67,1),(68,1),(71,1),(79,1)}
      76:{2,4}:{(69,1),(70,1),(78,1)}
      77:{5,6}:{(72,1)}
      78:{2,5}:{(74,1),(76,1),(80,1)}
      79:{4,6}:{(74,1),(75,1),(80,1)}
      80:{2,6}:{(78,1),(79,1)}

266 :   0:{2,3,4,6}:{(1,1),(2,1),(12,1),(35,1),(37,1),(40,1),(43,1),(75,1),(80,1),(118,1),(125,1)}
        1:{1,2,4,6}:{(0,1),(4,1),(5,1),(19,1),(20,1),(61,1),(63,1),(104,1)}
        2:{2,3,5}:{(0,1),(5,1),(7,1),(22,1),(105,1),(143,1)}
        3:{1,3,4,6}:{(4,1),(8,1),(19,1),(27,1),(54,1),(104,1),(106,1),(157,1)}
        4:{1,2,3,6}:{(1,1),(3,1),(9,1),(37,1),(45,1),(75,1),(85,1)}
        5:{1,2,5}:{(1,1),(2,1),(11,1),(131,1)}
        6:{2,3,5,6}:{(2,1),(10,1),(12,1),(31,1),(32,1),(37,1),(40,1)}
        7:{4,5}:{(2,1),(12,1),(125,1)}
        8:{1,3,5}:{(3,1),(16,1),(74,1),(131,1)}
        9:{1,2,3,5}:{(4,1),(5,1),(8,1),(19,1),(22,1),(28,1),(55,1),(98,1)}
       10:{1,2,5,6}:{(5,1),(6,1),(20,1),(51,1),(61,1)}
       11:{1,4,5}:{(5,1),(7,1),(19,1),(20,1),(22,1)}
       12:{4,6}:{(6,1),(7,1)}
       13:{2,4,5}:{(7,1),(23,1),(25,1),(96,1),(141,1),(143,1)}
       14:{3,4,5}:{(7,1),(22,1),(24,1),(25,1),(26,1),(60,1),(96,1),(105,1),(147,1)}
       15:{1,3,5,6}:{(8,1),(27,1),(65,1),(156,1),(157,1)}
       16:{1,4,5}:{(8,1),(19,1),(27,1),(28,1),(29,1)}
       17:{4,5,6}:{(12,1),(31,1),(32,1),(72,1),(120,1)}
       18:{1,2,3,5,6}:{(9,1),(10,1),(15,1),(33,1),(37,1),(45,1),(69,1),(70,1),(73,1),(74,1),(75,1),(79,1),(87,1),(117,1),(124,1),(131,1),(136,1),(176,1),(180,1),(211,1)}
       19:{1,4}:{(9,1),(35,1),(125,1)}
       20:{1,4,6}:{(10,1),(11,1),(12,1),(37,1)}
       21:{1,2,4,5}:{(11,1),(13,1),(34,1),(36,1),(38,1),(42,1),(73,1),(81,1),(89,1),(120,1),(122,1),(125,1),(128,1),(131,1),(163,1),(166,1),(174,1),(179,1),(205,1)}
       22:{3,5}:{(11,1),(35,1),(37,1)}
       23:{2,4,6}:{(12,1),(13,1),(31,1),(40,1),(72,1)}
       24:{3,4,6}:{(12,1),(14,1),(32,1),(37,1),(40,1),(41,1),(72,1),(121,1)}
       25:{2,3,5}:{(13,1),(14,1),(40,1),(42,1),(43,1)}
       26:{1,4,5}:{(14,1),(39,1),(41,1),(42,1),(81,1),(131,1)}
       27:{1,4,6}:{(15,1),(16,1),(45,1),(46,1)}
       28:{1,2,5}:{(16,1),(34,1),(45,1),(47,1)}
       29:{3,4,5}:{(16,1),(35,1),(46,1),(47,1),(74,1),(125,1),(138,1)}
       30:{1,4,5,6}:{(17,1),(20,1),(48,1),(49,1),(51,1),(52,1),(92,1),(94,1),(95,1),(145,1),(161,1),(196,1),(199,1)}
       31:{2,5,6}:{(17,1),(23,1),(143,1)}
       32:{3,5,6}:{(17,1),(24,1),(51,1),(105,1)}
       33:{1,4,6}:{(18,1),(19,1),(52,1),(54,1),(94,1),(112,1),(150,1)}
       34:{1,2,4}:{(19,1),(28,1),(55,1),(67,1)}
       35:{3,4}:{(19,1),(22,1),(55,1)}
       36:{1,2,4,6}:{(20,1),(21,1),(23,1),(48,1),(57,1),(61,1),(94,1),(95,1),(104,1),(114,1),(154,1),(196,1)}
       37:{3,6}:{(20,1),(22,1)}
       38:{2,3,5}:{(21,1),(22,1),(55,1),(57,1),(60,1),(105,1),(147,1),(184,1),(191,1),(195,1)}
       39:{1,3,5}:{(22,1),(26,1),(56,1),(58,1),(147,1)}
       40:{2,3,6}:{(23,1),(24,1),(25,1),(61,1)}
       41:{1,4,6}:{(24,1),(26,1),(51,1),(58,1),(61,1)}
       42:{1,2,5}:{(25,1),(26,1),(61,1),(63,1)}
       43:{2,3,4}:{(25,1),(60,1),(63,1),(141,1),(184,1)}
       44:{1,4,5,6}:{(27,1),(52,1),(64,1),(65,1),(112,1),(146,1),(156,1),(196,1)}
       45:{1,2,6}:{(27,1),(28,1),(66,1)}
       46:{3,4,6}:{(27,1),(29,1),(65,1),(66,1),(112,1)}
       47:{2,3,5}:{(28,1),(29,1),(55,1),(66,1),(67,1),(113,1)}
       48:{1,2,5,6}:{(30,1),(31,1),(36,1),(69,1),(73,1),(117,1),(131,1),(139,1),(166,1)}
       49:{3,5,6}:{(30,1),(37,1),(68,1),(74,1),(121,1),(168,1),(211,1)}
       50:{2,3,5,6}:{(31,1),(32,1),(40,1),(71,1),(72,1),(84,1),(121,1)}
       51:{1,5,6}:{(32,1),(41,1),(131,1)}
       52:{1,4,5}:{(33,1),(73,1),(74,1),(120,1),(125,1),(131,1),(138,1),(180,1)}
       53:{1,2,4,6}:{(33,1),(34,1),(45,1),(73,1),(75,1),(88,1),(117,1),(118,1),(125,1),(163,1)}
       54:{3,4,6}:{(33,1),(35,1),(37,1),(74,1),(75,1),(125,1),(173,1),(211,1)}
       55:{2,3}:{(34,1),(35,1)}
       56:{1,3,4}:{(35,1),(39,1),(77,1),(81,1),(170,1)}
       57:{2,3,6}:{(36,1),(37,1),(38,1),(80,1),(121,1),(211,1)}
       58:{1,3,6}:{(37,1),(39,1),(41,1),(121,1)}
       59:{1,2,3,5}:{(38,1),(39,1),(42,1),(77,1),(79,1),(81,1),(85,1),(128,1),(131,1),(133,1)}
       60:{3,4}:{(38,1),(81,1),(125,1),(205,1)}
       61:{1,2,6}:{(40,1),(41,1),(42,1)}
       62:{2,3,4,6}:{(40,1),(43,1),(72,1),(80,1),(83,1),(84,1),(118,1),(121,1),(165,1),(170,1),(205,1)}
       63:{1,2,4}:{(42,1),(43,1),(81,1),(85,1)}
       64:{1,2,5,6}:{(44,1),(45,1),(73,1),(86,1),(87,1),(167,1),(180,1)}
       65:{3,5,6}:{(44,1),(46,1),(74,1),(211,1)}
       66:{2,3,6}:{(45,1),(46,1),(47,1),(88,1)}
       67:{2,4}:{(47,1),(125,1)}
       68:{3,4,6}:{(49,1),(90,1),(91,1),(92,1),(94,1)}
       69:{2,3,5,6}:{(48,1),(49,1),(57,1),(91,1),(94,1),(98,1),(105,1),(143,1),(187,1)}
       70:{1,3,5,6}:{(49,1),(51,1),(58,1),(92,1),(99,1),(199,1),(220,1)}
       71:{1,2,5,6}:{(50,1),(51,1),(61,1),(95,1),(110,1)}
       72:{4,6}:{(50,1),(96,1)}
       73:{1,2,5}:{(52,1),(53,1),(98,1),(113,1),(143,1)}
       74:{3,5}:{(52,1),(54,1)}
       75:{2,3,6}:{(53,1),(54,1),(55,1),(98,1),(184,1)}
       76:{1,3,4,6}:{(54,1),(56,1),(58,1),(92,1),(99,1),(100,1),(104,1),(144,1),(150,1),(159,1),(192,1),(220,1),(226,1)}
       77:{1,2,3}:{(55,1),(56,1),(102,1),(191,1)}
       78:{2,3,4}:{(55,1),(60,1),(67,1),(102,1),(103,1),(191,1),(217,1)}
       79:{1,2,3,6}:{(57,1),(58,1),(59,1),(61,1),(104,1),(154,1),(157,1)}
       80:{3,4,6}:{(57,1),(60,1),(94,1),(104,1),(105,1)}
       81:{1,4}:{(59,1),(60,1)}
       82:{3,4,5}:{(60,1),(103,1),(105,1),(107,1),(108,1),(151,1),(195,1)}
       83:{1,2,4,6}:{(61,1),(62,1),(63,1),(95,1),(104,1),(109,1),(110,1),(158,1)}
       84:{2,3,5}:{(62,1),(96,1),(105,1),(110,1),(143,1),(147,1)}
       85:{1,2,3}:{(63,1),(106,1),(184,1)}
       86:{1,2,4,6}:{(64,1),(97,1),(111,1),(112,1),(159,1),(186,1),(196,1),(214,1)}
       87:{2,3,5,6}:{(64,1),(65,1),(66,1),(98,1),(111,1),(112,1),(113,1),(160,1)}
       88:{2,4,6}:{(66,1),(67,1),(112,1),(113,1)}
       89:{2,4,5}:{(67,1),(103,1),(113,1),(114,1),(151,1),(217,1),(228,1)}
       90:{3,4,5}:{(68,1),(74,1),(115,1),(116,1),(120,1),(125,1),(168,1),(173,1),(205,1)}
       91:{2,3,6}:{(68,1),(115,1),(117,1),(118,1)}
       92:{1,4,6}:{(68,1),(70,1),(116,1),(117,1)}
       93:{1,2,3,5,6}:{(69,1),(70,1),(71,1),(79,1),(117,1),(119,1),(121,1),(124,1),(131,1),(135,1),(165,1),(166,1),(168,1),(176,1),(178,1),(206,1),(211,1),(212,1),(222,1),(229,1)}
       94:{4,6}:{(69,1),(120,1),(125,1),(205,1)}
       95:{1,4,6}:{(71,1),(72,1),(121,1),(122,1)}
       96:{4,5}:{(72,1),(84,1),(205,1)}
       97:{1,2,4,5}:{(73,1),(86,1),(123,1),(125,1),(138,1),(163,1),(164,1),(171,1),(174,1),(180,1),(201,1)}
       98:{2,3,5}:{(73,1),(74,1),(75,1),(125,1)}
       99:{1,3,5}:{(74,1),(76,1),(116,1),(131,1),(168,1),(180,1),(229,1)}
      100:{1,2,3,6}:{(75,1),(76,1),(77,1),(117,1),(124,1),(126,1),(165,1),(200,1),(211,1)}
      101:{2,3,4,6}:{(75,1),(78,1),(80,1),(88,1),(118,1),(125,1),(126,1),(127,1),(129,1),(137,1),(162,1),(165,1),(173,1),(175,1),(202,1),(205,1),(211,1),(223,1),(224,1)}
      102:{1,2,4}:{(77,1),(78,1),(81,1),(128,1)}
      103:{2,3,5}:{(78,1),(82,1),(89,1),(128,1),(129,1)}
      104:{1,4,6}:{(79,1),(80,1),(81,1),(131,1)}
      105:{3,5}:{(80,1),(120,1),(131,1)}
      106:{1,3,4}:{(81,1),(85,1),(133,1),(173,1)}
      107:{1,4,5}:{(81,1),(82,1),(128,1),(131,1),(133,1),(134,1)}
      108:{3,4,6}:{(82,1),(129,1),(132,1),(134,1),(175,1),(211,1)}
      109:{1,2,3,6}:{(83,1),(85,1),(121,1),(130,1),(135,1),(165,1),(212,1)}
      110:{1,2,5}:{(83,1),(84,1),(122,1),(131,1)}
      111:{2,3,6}:{(86,1),(123,1),(137,1),(211,1)}
      112:{4,6}:{(87,1),(125,1),(138,1)}
      113:{2,5}:{(88,1),(138,1)}
      114:{2,4,6}:{(89,1),(129,1),(139,1),(175,1)}
      115:{2,3,5}:{(90,1),(91,1),(140,1),(141,1),(143,1),(184,1)}
      116:{1,4,5}:{(90,1),(92,1),(99,1),(140,1),(150,1)}
      117:{1,2,6}:{(91,1),(92,1),(140,1)}
      118:{2,4,6}:{(91,1),(94,1),(141,1),(143,1)}
      119:{1,4,6}:{(93,1),(94,1),(144,1),(145,1),(150,1),(158,1),(218,1)}
      120:{4,5}:{(94,1),(105,1),(143,1)}
      121:{3,6}:{(95,1),(147,1)}
      122:{1,4,5}:{(95,1),(96,1),(110,1),(147,1),(158,1)}
      123:{2,3,5}:{(97,1),(111,1),(149,1),(160,1),(184,1),(195,1)}
      124:{1,2,3,5}:{(98,1),(99,1),(100,1),(140,1),(150,1),(152,1),(184,1),(187,1),(195,1)}
      125:{4}:{(98,1)}
      126:{1,2,4,6}:{(100,1),(101,1),(102,1),(104,1),(150,1),(152,1),(154,1),(159,1),(182,1),(196,1),(214,1),(226,1)}
      127:{2,3,5}:{(101,1),(105,1),(113,1),(143,1),(151,1),(152,1),(160,1),(195,1),(227,1),(228,1)}
      128:{1,2,5}:{(102,1),(103,1),(107,1),(154,1)}
      129:{2,3,6}:{(103,1),(108,1),(114,1),(154,1)}
      130:{1,3,4,6}:{(104,1),(106,1),(109,1),(144,1),(155,1),(157,1),(158,1),(198,1)}
      131:{1,5}:{(104,1),(105,1)}
      132:{3,5,6}:{(105,1),(108,1),(146,1),(156,1)}
      133:{1,3,5}:{(106,1),(107,1),(157,1),(195,1)}
      134:{1,4,6}:{(107,1),(108,1),(154,1),(156,1),(157,1)}
      135:{1,2,3,5}:{(109,1),(110,1),(147,1),(155,1),(158,1),(187,1),(191,1),(197,1)}
      136:{1,2,3,6}:{(111,1),(148,1),(159,1),(214,1),(220,1)}
      137:{3,4,6}:{(111,1),(112,1),(149,1),(159,1),(160,1)}
      138:{4,5}:{(112,1),(113,1),(160,1)}
      139:{2,5,6}:{(113,1),(114,1),(161,1),(228,1)}
      140:{1,2,5}:{(115,1),(116,1),(117,1),(163,1)}
      141:{2,4}:{(115,1),(125,1),(205,1)}
      142:{1,2,4,6}:{(117,1),(118,1),(119,1),(163,1),(165,1),(166,1),(179,1),(205,1),(212,1),(224,1)}
      143:{2,5}:{(118,1),(120,1)}
      144:{3,4,6}:{(119,1),(121,1),(165,1),(168,1),(170,1),(173,1),(205,1),(211,1)}
      145:{1,4,5}:{(119,1),(120,1),(131,1),(166,1),(168,1),(205,1),(225,1),(229,1)}
      146:{4,5,6}:{(120,1),(132,1),(167,1),(175,1)}
      147:{3,5}:{(121,1),(122,1),(170,1)}
      148:{1,2,3,5}:{(123,1),(136,1),(171,1),(180,1),(200,1),(201,1),(209,1)}
      149:{3,4}:{(123,1),(125,1),(171,1)}
      150:{1,4}:{(124,1),(125,1),(173,1),(205,1)}
      151:{4,5}:{(125,1),(127,1),(175,1),(205,1)}
      152:{1,2,5}:{(126,1),(127,1),(131,1),(174,1),(180,1),(229,1)}
      153:{2,3,5,6}:{(127,1),(129,1),(132,1),(139,1),(167,1),(175,1),(176,1),(181,1),(202,1),(211,1)}
      154:{1,2,6}:{(128,1),(129,1),(134,1)}
      155:{1,3,5}:{(130,1),(131,1),(168,1),(177,1)}
      156:{1,5,6}:{(131,1),(132,1),(134,1)}
      157:{1,3,6}:{(133,1),(134,1),(211,1)}
      158:{1,4}:{(135,1),(170,1),(205,1)}
      159:{1,4,6}:{(136,1),(137,1),(171,1),(180,1)}
      160:{3,5}:{(137,1),(138,1),(180,1)}
      161:{4,5,6}:{(138,1),(139,1),(175,1),(181,1),(225,1)}
      162:{2,3,4}:{(141,1),(149,1),(182,1),(183,1),(184,1),(215,1)}
      163:{1,2,4}:{(140,1),(141,1),(150,1),(184,1)}
      164:{2,4,5}:{(141,1),(143,1),(151,1),(183,1),(186,1)}
      165:{2,3,6}:{(142,1),(144,1),(184,1),(187,1),(191,1)}
      166:{1,2,5}:{(142,1),(143,1),(145,1),(187,1),(228,1)}
      167:{2,5,6}:{(143,1),(146,1),(186,1)}
      168:{3,5}:{(144,1),(145,1)}
      169:{1,4,5,6}:{(145,1),(146,1),(156,1),(188,1),(190,1),(196,1),(198,1),(218,1)}
      170:{3,4}:{(147,1),(158,1),(191,1)}
      171:{1,4}:{(148,1),(149,1)}
      172:{3,4,5}:{(149,1),(151,1),(160,1),(183,1),(193,1),(194,1),(195,1),(215,1),(227,1)}
      173:{3,4}:{(150,1),(184,1),(195,1)}
      174:{1,4,5}:{(150,1),(151,1),(152,1),(195,1),(196,1)}
      175:{4,6}:{(151,1),(153,1)}
      176:{1,2,5,6}:{(152,1),(153,1),(154,1),(156,1),(196,1),(199,1),(214,1)}
      177:{1,4,5}:{(155,1),(158,1),(189,1),(197,1),(198,1)}
      178:{1,3,5,6}:{(155,1),(156,1),(157,1),(190,1),(198,1)}
      179:{1,2,4}:{(158,1),(191,1),(197,1),(217,1)}
      180:{1,5}:{(159,1),(160,1)}
      181:{3,5,6}:{(160,1),(161,1),(194,1),(199,1),(227,1)}
      182:{1,2,4}:{(162,1),(171,1),(200,1),(201,1),(221,1)}
      183:{2,3,5}:{(162,1),(164,1),(172,1),(201,1),(202,1)}
      184:{2,3}:{(163,1),(173,1)}
      185:{1,2,4,5}:{(163,1),(164,1),(166,1),(174,1),(201,1),(203,1),(204,1),(205,1),(221,1),(225,1),(229,1)}
      186:{2,4,6}:{(164,1),(167,1),(175,1),(202,1)}
      187:{2,3,5}:{(165,1),(166,1),(168,1),(205,1)}
      188:{1,2,5,6}:{(166,1),(167,1),(169,1),(204,1),(206,1),(212,1),(229,1)}
      189:{3,4,5}:{(168,1),(170,1),(177,1),(205,1),(207,1),(208,1),(225,1)}
      190:{3,5,6}:{(168,1),(169,1),(208,1),(211,1)}
      191:{2,3}:{(170,1),(179,1)}
      192:{1,3,4}:{(171,1),(173,1),(200,1),(209,1),(221,1)}
      193:{1,4,5}:{(171,1),(172,1),(180,1),(201,1),(209,1),(210,1),(221,1),(229,1)}
      194:{3,4,6}:{(172,1),(175,1),(181,1),(202,1),(210,1),(211,1)}
      195:{3,5}:{(173,1),(174,1),(211,1)}
      196:{1,4,6}:{(174,1),(175,1),(176,1),(211,1)}
      197:{1,2,5}:{(177,1),(179,1),(207,1),(212,1)}
      198:{1,4,6}:{(177,1),(178,1),(208,1),(212,1)}
      199:{1,5,6}:{(180,1),(181,1),(210,1),(229,1)}
      200:{1,2,3}:{(182,1),(184,1),(192,1)}
      201:{1,2,5}:{(182,1),(183,1),(193,1),(214,1)}
      202:{2,3,6}:{(183,1),(186,1),(194,1),(214,1)}
      203:{2,3,5}:{(184,1),(185,1),(195,1),(215,1),(216,1),(227,1)}
      204:{1,2,4,6}:{(185,1),(186,1),(188,1),(196,1),(214,1),(216,1),(218,1),(226,1)}
      205:{4}:{(187,1)}
      206:{2,3,5,6}:{(187,1),(188,1),(190,1),(216,1),(218,1),(219,1),(227,1),(228,1)}
      207:{2,3,5}:{(189,1),(191,1),(197,1),(217,1),(219,1),(228,1)}
      208:{3,4,6}:{(189,1),(190,1),(198,1),(218,1),(219,1)}
      209:{1,3,5}:{(192,1),(193,1),(195,1),(220,1)}
      210:{1,4,6}:{(193,1),(194,1),(199,1),(214,1),(220,1)}
      211:{3,6}:{(195,1),(196,1)}
      212:{1,2,6}:{(197,1),(198,1),(219,1)}
      213:{1,2,3,5}:{(200,1),(201,1),(203,1),(209,1),(221,1),(222,1),(229,1)}
      214:{1,2,6}:{(201,1),(202,1),(210,1)}
      215:{3,4}:{(203,1),(205,1),(221,1)}
      216:{2,3,6}:{(203,1),(204,1),(211,1),(223,1)}
      217:{2,4}:{(205,1),(207,1)}
      218:{4,6}:{(205,1),(206,1),(225,1)}
      219:{2,3,6}:{(207,1),(208,1),(212,1),(224,1)}
      220:{1,3,6}:{(209,1),(210,1),(211,1)}
      221:{1,4}:{(213,1),(215,1)}
      222:{1,2,3,6}:{(213,1),(214,1),(216,1),(220,1),(226,1)}
      223:{3,4,6}:{(215,1),(216,1),(218,1),(226,1),(227,1)}
      224:{2,4,6}:{(217,1),(218,1),(219,1),(228,1)}
      225:{4,5}:{(218,1),(227,1),(228,1)}
      226:{1,4,6}:{(221,1),(222,1),(223,1),(229,1)}
      227:{3,5}:{(223,1),(225,1),(229,1)}
      228:{2,5}:{(224,1),(225,1)}
      229:{1,5}:{(226,1),(227,1)}

267 :  0:{2,3,4}:{(1,1),(2,1),(29,1)}
       1:{1,2,4}:{(0,1),(5,1),(6,1),(21,1),(71,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1),(19,1)}
       3:{1,3,4}:{(5,1),(8,1),(21,1),(72,1)}
       4:{4,5}:{(2,1),(11,1)}
       5:{1,2,3}:{(1,1),(3,1),(76,1)}
       6:{1,2,5}:{(1,1),(2,1),(10,1),(13,1),(64,1)}
       7:{2,3,6}:{(2,1),(11,1),(13,1),(30,1)}
       8:{1,3,5}:{(3,1),(14,1),(15,1),(66,1)}
       9:{3,4,5}:{(14,1),(16,1),(17,1),(29,1),(49,1),(52,1),(65,1),(66,1)}
      10:{1,4,5}:{(4,1),(6,1),(19,1),(20,1),(21,1),(42,1),(56,1)}
      11:{4,6}:{(4,1),(7,1),(18,1)}
      12:{1,2,3,5}:{(5,1),(6,1),(8,1),(19,1),(21,1),(22,1),(23,1),(39,1),(42,1),(57,1)}
      13:{1,2,6}:{(6,1),(7,1),(20,1),(55,1)}
      14:{1,4,5}:{(8,1),(9,1),(21,1),(23,1),(24,1),(42,1)}
      15:{1,3,6}:{(8,1),(24,1),(59,1)}
      16:{2,3,5}:{(9,1),(23,1),(25,1),(26,1),(39,1),(44,1)}
      17:{3,4,6}:{(9,1),(24,1),(26,1),(27,1),(46,1),(59,1)}
      18:{5,6}:{(11,1)}
      19:{3,5}:{(10,1),(29,1),(30,1)}
      20:{1,4,6}:{(10,1),(11,1),(13,1),(28,1),(30,1),(47,1)}
      21:{1,4}:{(12,1),(29,1),(65,1)}
      22:{1,2,3,6}:{(12,1),(13,1),(15,1),(30,1),(32,1),(33,1),(48,1)}
      23:{1,2,5}:{(14,1),(16,1),(31,1),(33,1)}
      24:{1,4,6}:{(14,1),(15,1),(17,1),(33,1),(34,1)}
      25:{2,4}:{(16,1),(65,1)}
      26:{2,3,6}:{(16,1),(17,1),(33,1),(35,1)}
      27:{3,5,6}:{(17,1),(34,1),(36,1),(49,1)}
      28:{1,5,6}:{(18,1),(20,1),(38,1),(42,1)}
      29:{3,4}:{(19,1),(21,1),(39,1)}
      30:{3,6}:{(19,1),(20,1)}
      31:{1,2,4}:{(21,1),(23,1),(25,1),(39,1)}
      32:{1,4,6}:{(21,1),(22,1),(40,1),(42,1)}
      33:{1,2,6}:{(23,1),(24,1),(26,1)}
      34:{1,5,6}:{(24,1),(27,1),(42,1)}
      35:{2,4,6}:{(25,1),(26,1),(44,1),(46,1)}
      36:{4,5,6}:{(27,1),(45,1),(46,1),(56,1)}
      37:{2,3,5,6}:{(26,1),(27,1),(43,1),(44,1),(45,1),(46,1),(57,1),(59,1),(61,1),(62,1)}
      38:{3,5,6}:{(28,1),(30,1),(47,1),(49,1)}
      39:{2,3}:{(29,1),(31,1)}
      40:{3,4,6}:{(29,1),(30,1),(32,1),(47,1),(48,1),(49,1),(65,1)}
      41:{1,2,4,6}:{(31,1),(32,1),(33,1),(35,1),(48,1),(50,1),(51,1),(65,1)}
      42:{1,5}:{(32,1),(49,1)}
      43:{1,2,5,6}:{(33,1),(34,1),(37,1),(50,1),(51,1),(69,1),(70,1)}
      44:{2,5}:{(35,1),(52,1)}
      45:{2,5,6}:{(36,1),(53,1),(64,1)}
      46:{4,6}:{(37,1),(52,1),(65,1)}
      47:{4,6}:{(38,1),(55,1),(56,1)}
      48:{2,3,6}:{(39,1),(40,1),(41,1),(55,1),(57,1),(59,1)}
      49:{3,5}:{(40,1),(42,1),(56,1)}
      50:{1,2,5}:{(41,1),(42,1),(44,1),(57,1),(58,1),(79,1)}
      51:{1,4,6}:{(43,1),(46,1),(58,1),(59,1)}
      52:{4,5}:{(44,1),(46,1),(61,1)}
      53:{2,4,6}:{(45,1),(46,1),(60,1),(62,1),(71,1)}
      54:{3,4,6}:{(46,1),(59,1),(61,1),(62,1),(63,1),(72,1),(74,1)}
      55:{2,6}:{(47,1),(64,1)}
      56:{4,5}:{(47,1),(49,1),(64,1),(65,1)}
      57:{2,3,5}:{(48,1),(49,1),(50,1),(64,1),(65,1),(66,1),(76,1)}
      58:{1,4,5}:{(50,1),(51,1),(52,1),(65,1),(66,1),(69,1),(77,1)}
      59:{3,6}:{(51,1),(66,1)}
      60:{2,4,5}:{(52,1),(53,1),(68,1)}
      61:{3,5}:{(52,1),(54,1),(69,1)}
      62:{2,3,6}:{(53,1),(54,1),(68,1),(70,1),(76,1)}
      63:{1,4,6}:{(54,1),(67,1),(69,1),(70,1),(77,1),(78,1)}
      64:{2,5}:{(55,1),(56,1),(71,1)}
      65:{4}:{(57,1)}
      66:{3,5}:{(58,1),(59,1),(72,1)}
      67:{1,3,6}:{(59,1),(63,1),(73,1),(80,1)}
      68:{2,3,5}:{(60,1),(61,1),(62,1),(74,1),(75,1)}
      69:{1,5}:{(61,1),(63,1)}
      70:{1,2,6}:{(62,1),(63,1),(75,1),(79,1)}
      71:{2,4}:{(64,1),(65,1),(76,1)}
      72:{3,4}:{(65,1),(66,1),(76,1),(77,1)}
      73:{1,3,5}:{(66,1),(67,1),(69,1),(77,1)}
      74:{3,4}:{(68,1),(78,1)}
      75:{1,2,5}:{(68,1),(69,1),(70,1),(78,1)}
      76:{2,3}:{(71,1),(72,1),(79,1)}
      77:{1,4}:{(72,1),(73,1),(79,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{1,2}:{(76,1),(77,1)}
      80:{1,3}:{(78,1)}

268 :   0:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(8,1),(20,1),(21,1),(25,1),(42,1),(44,1),(56,1),(78,1),(92,1)}
        1:{1,4,6}:{(0,1),(2,1),(4,1),(33,1),(38,1)}
        2:{1,4,5}:{(1,1),(6,1),(7,1),(26,1),(47,1),(78,1)}
        3:{1,2,4,6}:{(1,1),(6,1),(8,1),(26,1),(44,1),(45,1),(51,1)}
        4:{3,4,6}:{(1,1),(7,1),(8,1),(26,1),(53,1),(92,1)}
        5:{1,4,5,6}:{(2,1),(10,1),(11,1),(31,1),(33,1),(63,1),(64,1),(74,1),(98,1),(122,1)}
        6:{1,2,5}:{(2,1),(3,1),(14,1),(61,1)}
        7:{3,5}:{(2,1),(4,1)}
        8:{2,3,6}:{(3,1),(4,1),(14,1),(70,1)}
        9:{1,3,4,6}:{(4,1),(15,1),(16,1),(31,1),(38,1),(58,1),(62,1),(67,1),(105,1),(130,1)}
       10:{1,2,5,6}:{(5,1),(6,1),(18,1),(20,1),(44,1),(78,1),(81,1),(82,1)}
       11:{3,5,6}:{(5,1),(7,1),(19,1),(83,1),(92,1),(133,1)}
       12:{1,2,4,5}:{(6,1),(18,1),(22,1),(26,1),(47,1),(49,1),(51,1),(52,1),(54,1),(78,1),(81,1),(86,1),(108,1),(114,1),(134,1)}
       13:{3,4,5}:{(7,1),(19,1),(23,1),(24,1),(26,1),(47,1),(53,1),(83,1),(114,1)}
       14:{2,3,5}:{(6,1),(7,1),(8,1),(26,1)}
       15:{1,3,5}:{(7,1),(9,1),(24,1),(78,1),(83,1),(139,1)}
       16:{1,2,3,6}:{(8,1),(9,1),(25,1),(27,1),(44,1),(80,1),(85,1),(92,1)}
       17:{2,3,4,6}:{(8,1),(26,1),(27,1),(28,1),(43,1),(45,1),(48,1),(53,1),(55,1),(80,1),(87,1),(92,1),(114,1),(120,1),(137,1)}
       18:{1,2,4,6}:{(10,1),(12,1),(29,1),(33,1),(58,1),(72,1),(74,1),(104,1),(122,1)}
       19:{3,4,6}:{(11,1),(13,1),(30,1),(31,1),(33,1)}
       20:{2,3,5,6}:{(10,1),(11,1),(14,1),(29,1),(30,1),(33,1),(59,1),(61,1),(99,1)}
       21:{1,3,5,6}:{(11,1),(15,1),(31,1),(98,1),(105,1)}
       22:{2,3,5}:{(12,1),(29,1),(35,1),(59,1),(70,1),(73,1),(121,1),(140,1)}
       23:{2,3,5}:{(13,1),(30,1),(36,1),(37,1),(61,1),(70,1)}
       24:{1,4,5}:{(13,1),(15,1),(31,1),(36,1),(38,1)}
       25:{1,2,3,5}:{(14,1),(15,1),(16,1),(36,1),(38,1),(40,1),(70,1),(73,1),(99,1)}
       26:{4}:{(14,1)}
       27:{1,2,4,6}:{(16,1),(17,1),(38,1),(40,1),(58,1),(65,1),(74,1),(104,1),(130,1)}
       28:{2,3,5}:{(17,1),(39,1),(40,1),(59,1),(61,1),(73,1),(131,1),(144,1)}
       29:{2,3,6}:{(18,1),(22,1),(43,1),(92,1),(133,1)}
       30:{2,3,6}:{(19,1),(23,1),(44,1),(45,1)}
       31:{1,4,6}:{(19,1),(21,1),(24,1),(44,1)}
       32:{1,2,3,5,6}:{(20,1),(21,1),(25,1),(42,1),(44,1),(46,1),(56,1),(78,1),(80,1),(81,1),(83,1),(92,1),(110,1),(111,1),(113,1),(115,1),(119,1),(133,1),(136,1),(139,1)}
       33:{4,6}:{(20,1),(26,1),(47,1),(114,1)}
       34:{1,2,3,5}:{(22,1),(42,1),(49,1),(78,1),(85,1),(86,1),(88,1)}
       35:{3,4}:{(22,1),(26,1),(49,1),(114,1)}
       36:{1,2,5}:{(23,1),(24,1),(44,1),(51,1)}
       37:{2,4}:{(23,1),(26,1),(114,1)}
       38:{1,4}:{(25,1),(26,1),(53,1),(114,1)}
       39:{4,5}:{(26,1),(28,1),(55,1),(114,1)}
       40:{1,2,5}:{(27,1),(28,1),(54,1),(78,1),(139,1)}
       41:{2,3,5,6}:{(28,1),(55,1),(56,1),(79,1),(82,1),(87,1),(92,1)}
       42:{1,2,3,6}:{(29,1),(34,1),(58,1),(104,1),(105,1)}
       43:{3,4,6}:{(29,1),(33,1),(35,1),(58,1),(59,1)}
       44:{1,2,6}:{(30,1),(31,1),(36,1)}
       45:{2,4,6}:{(30,1),(33,1),(37,1),(61,1)}
       46:{1,4,6}:{(32,1),(33,1),(38,1),(62,1),(63,1),(123,1),(128,1)}
       47:{4,5}:{(33,1),(59,1),(61,1)}
       48:{2,3,4}:{(35,1),(37,1),(65,1),(66,1),(70,1),(106,1),(127,1),(140,1)}
       49:{1,4}:{(34,1),(35,1)}
       50:{3,4,5}:{(35,1),(39,1),(59,1),(66,1),(68,1),(69,1),(73,1),(93,1),(106,1),(121,1),(131,1)}
       51:{1,2,4}:{(36,1),(37,1),(38,1),(70,1)}
       52:{2,4,5}:{(37,1),(39,1),(61,1),(66,1),(72,1),(93,1),(127,1),(144,1)}
       53:{3,4}:{(38,1),(70,1),(73,1)}
       54:{1,4,5}:{(38,1),(39,1),(40,1),(73,1),(74,1)}
       55:{4,6}:{(39,1),(41,1)}
       56:{1,2,5,6}:{(40,1),(41,1),(74,1),(98,1),(104,1)}
       57:{2,3,4,6}:{(43,1),(45,1),(48,1),(75,1),(76,1),(80,1),(87,1),(109,1),(114,1),(120,1),(132,1),(133,1),(137,1),(145,1),(149,1)}
       58:{1,4,6}:{(42,1),(43,1),(49,1),(78,1)}
       59:{3,5}:{(43,1),(47,1),(78,1)}
       60:{1,2,4,6}:{(44,1),(45,1),(46,1),(51,1),(80,1),(81,1),(114,1),(134,1),(136,1),(137,1)}
       61:{2,5}:{(45,1),(47,1)}
       62:{3,4,6}:{(46,1),(53,1),(80,1),(83,1),(92,1),(114,1),(132,1),(133,1)}
       63:{1,4,5}:{(46,1),(47,1),(78,1),(81,1),(83,1),(114,1),(138,1),(139,1)}
       64:{4,5,6}:{(47,1),(55,1),(79,1),(82,1),(109,1),(138,1)}
       65:{1,2,4}:{(48,1),(49,1),(85,1),(86,1),(118,1)}
       66:{2,3,5}:{(48,1),(50,1),(52,1),(86,1),(87,1)}
       67:{1,3,4}:{(49,1),(53,1),(85,1),(88,1),(118,1),(132,1)}
       68:{1,4,5}:{(49,1),(50,1),(78,1),(86,1),(88,1),(89,1),(118,1),(139,1)}
       69:{3,4,6}:{(50,1),(55,1),(79,1),(87,1),(89,1),(92,1),(109,1),(133,1)}
       70:{2,3}:{(51,1),(53,1)}
       71:{1,2,4,5}:{(51,1),(52,1),(54,1),(81,1),(86,1),(90,1),(91,1),(108,1),(114,1),(118,1),(134,1),(138,1),(139,1),(147,1),(149,1)}
       72:{2,4,6}:{(52,1),(55,1),(82,1),(87,1),(109,1)}
       73:{3,5}:{(53,1),(54,1),(92,1)}
       74:{1,4,6}:{(54,1),(55,1),(56,1),(92,1)}
       75:{1,2,4,6}:{(57,1),(58,1),(65,1),(94,1),(95,1),(104,1),(122,1),(123,1),(130,1)}
       76:{2,3,5}:{(57,1),(59,1),(61,1),(93,1),(95,1),(121,1),(131,1),(144,1)}
       77:{1,3,4,6}:{(58,1),(62,1),(67,1),(94,1),(97,1),(105,1),(123,1),(126,1),(130,1),(141,1)}
       78:{1,5}:{(58,1),(59,1)}
       79:{3,5,6}:{(59,1),(64,1),(69,1),(98,1),(131,1)}
       80:{2,3,6}:{(60,1),(62,1),(70,1),(99,1),(140,1)}
       81:{1,2,5}:{(60,1),(61,1),(63,1),(99,1),(144,1)}
       82:{2,5,6}:{(61,1),(64,1),(72,1),(144,1)}
       83:{3,5}:{(62,1),(63,1)}
       84:{1,4,5,6}:{(63,1),(64,1),(74,1),(98,1),(100,1),(102,1),(122,1),(126,1),(128,1),(143,1)}
       85:{1,2,3}:{(65,1),(67,1),(70,1),(140,1)}
       86:{1,2,5}:{(65,1),(66,1),(68,1),(104,1)}
       87:{2,3,6}:{(66,1),(69,1),(72,1),(104,1)}
       88:{1,3,5}:{(67,1),(68,1),(73,1),(105,1),(121,1)}
       89:{1,4,6}:{(68,1),(69,1),(98,1),(104,1),(105,1)}
       90:{2,3,5}:{(70,1),(71,1),(73,1),(106,1),(107,1),(121,1),(131,1),(140,1)}
       91:{1,2,4,6}:{(71,1),(72,1),(74,1),(100,1),(104,1),(107,1),(122,1),(128,1),(130,1)}
       92:{3,6}:{(73,1),(74,1)}
       93:{4,5}:{(76,1),(109,1),(114,1),(149,1)}
       94:{1,2,3,6}:{(75,1),(77,1),(80,1),(85,1),(110,1),(133,1),(136,1),(145,1)}
       95:{1,2,5}:{(75,1),(76,1),(78,1),(108,1),(139,1)}
       96:{2,3,5,6}:{(76,1),(79,1),(82,1),(87,1),(109,1),(111,1),(133,1)}
       97:{1,3,5}:{(77,1),(78,1),(83,1),(112,1),(139,1),(146,1)}
       98:{1,5,6}:{(78,1),(79,1),(89,1),(139,1)}
       99:{2,3,5}:{(80,1),(81,1),(83,1),(114,1)}
      100:{1,2,5,6}:{(81,1),(82,1),(84,1),(91,1),(115,1),(136,1),(139,1),(147,1)}
      101:{3,4,5}:{(83,1),(112,1),(114,1),(116,1),(117,1),(132,1),(138,1),(146,1),(149,1)}
      102:{3,5,6}:{(83,1),(84,1),(92,1),(117,1),(133,1),(146,1)}
      103:{1,2,3,5}:{(85,1),(86,1),(88,1),(90,1),(118,1),(119,1),(139,1)}
      104:{1,2,6}:{(86,1),(87,1),(89,1)}
      105:{1,3,6}:{(88,1),(89,1),(92,1),(133,1)}
      106:{3,4}:{(90,1),(114,1),(118,1),(149,1)}
      107:{2,3,6}:{(90,1),(91,1),(92,1),(120,1),(133,1)}
      108:{1,4,5}:{(93,1),(95,1),(121,1),(122,1),(123,1)}
      109:{4,6}:{(93,1),(96,1)}
      110:{1,2,3,5}:{(94,1),(95,1),(97,1),(99,1),(121,1),(123,1),(125,1),(140,1),(148,1)}
      111:{1,2,5,6}:{(95,1),(96,1),(98,1),(104,1),(122,1)}
      112:{1,4,5}:{(97,1),(101,1),(123,1),(125,1),(126,1)}
      113:{1,3,5,6}:{(97,1),(98,1),(102,1),(105,1),(126,1)}
      114:{4}:{(99,1)}
      115:{2,3,5,6}:{(99,1),(100,1),(102,1),(107,1),(128,1),(129,1),(131,1),(144,1),(148,1)}
      116:{2,3,5}:{(101,1),(125,1),(127,1),(129,1),(140,1),(144,1)}
      117:{3,4,6}:{(101,1),(102,1),(126,1),(128,1),(129,1)}
      118:{1,4}:{(103,1),(106,1)}
      119:{1,2,3,6}:{(103,1),(104,1),(105,1),(107,1),(130,1)}
      120:{3,4,6}:{(106,1),(107,1),(128,1),(130,1),(131,1)}
      121:{3,5}:{(108,1),(132,1),(133,1)}
      122:{1,4,6}:{(108,1),(109,1),(111,1),(133,1)}
      123:{1,4}:{(110,1),(114,1),(132,1),(149,1)}
      124:{1,2,3,5,6}:{(110,1),(111,1),(113,1),(115,1),(119,1),(133,1),(135,1),(136,1),(139,1),(145,1),(146,1),(147,1)}
      125:{1,2,5}:{(112,1),(116,1),(134,1),(136,1)}
      126:{1,4,6}:{(112,1),(113,1),(117,1),(136,1)}
      127:{2,4}:{(114,1),(116,1),(149,1)}
      128:{4,6}:{(114,1),(115,1),(138,1),(149,1)}
      129:{2,3,6}:{(116,1),(117,1),(136,1),(137,1)}
      130:{1,4,6}:{(118,1),(119,1),(120,1),(139,1)}
      131:{3,5}:{(120,1),(138,1),(139,1)}
      132:{3,4}:{(121,1),(123,1),(140,1)}
      133:{3,6}:{(121,1),(122,1)}
      134:{1,2,4}:{(123,1),(125,1),(127,1),(140,1)}
      135:{1,4,6}:{(123,1),(124,1),(128,1),(141,1),(143,1)}
      136:{1,2,6}:{(125,1),(126,1),(129,1)}
      137:{2,4,6}:{(127,1),(128,1),(129,1),(144,1)}
      138:{4,5}:{(128,1),(131,1),(144,1)}
      139:{1,5}:{(130,1),(131,1)}
      140:{2,3}:{(132,1),(134,1)}
      141:{3,4,6}:{(132,1),(133,1),(135,1),(145,1),(146,1),(149,1)}
      142:{1,2,4,6}:{(134,1),(135,1),(136,1),(137,1),(145,1),(147,1),(149,1)}
      143:{1,4,5}:{(135,1),(138,1),(139,1),(146,1),(147,1),(149,1)}
      144:{2,5}:{(137,1),(138,1)}
      145:{2,3,6}:{(140,1),(141,1),(142,1),(148,1)}
      146:{3,5}:{(141,1),(143,1)}
      147:{1,2,5}:{(142,1),(143,1),(144,1),(148,1)}
      148:{2,3,5}:{(145,1),(146,1),(147,1),(149,1)}
      149:{4}:{(148,1)}

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

270 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

271 :  0:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1),(11,1),(12,1),(22,1),(35,1),(48,1),(56,1),(59,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(14,1),(17,1),(20,1),(43,1),(53,1)}
       2:{1,4}:{(0,1),(5,1),(30,1)}
       3:{1,2,4}:{(2,1),(8,1),(9,1),(24,1),(38,1),(48,1)}
       4:{1,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       5:{3,4}:{(2,1),(8,1),(12,1),(24,1),(59,1)}
       6:{1,4,5}:{(2,1),(9,1),(11,1),(12,1),(13,1),(24,1),(26,1),(40,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(14,1),(15,1),(17,1),(29,1),(30,1),(32,1),(46,1),(53,1),(58,1)}
       8:{2,3}:{(3,1),(5,1)}
       9:{1,2,5}:{(3,1),(6,1),(16,1),(17,1),(33,1)}
      10:{3,4,6}:{(4,1),(5,1),(14,1),(18,1),(20,1),(30,1),(32,1),(34,1)}
      11:{1,5}:{(4,1),(18,1)}
      12:{3,5}:{(5,1),(6,1),(20,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(32,1),(34,1)}
      14:{2,3,6}:{(7,1),(8,1),(10,1),(22,1),(37,1),(41,1),(59,1)}
      15:{1,2,5}:{(7,1),(11,1),(21,1),(22,1),(40,1),(48,1),(52,1)}
      16:{2,3,5}:{(8,1),(9,1),(12,1),(24,1),(25,1),(40,1)}
      17:{1,2,6}:{(9,1),(13,1),(25,1),(41,1)}
      18:{3,5}:{(10,1),(11,1),(26,1),(40,1)}
      19:{1,5,6}:{(11,1),(13,1),(27,1),(40,1)}
      20:{3,6}:{(12,1),(13,1)}
      21:{1,4,5}:{(15,1),(28,1),(29,1),(30,1),(42,1),(47,1),(54,1),(58,1)}
      22:{2,3,5}:{(14,1),(15,1),(18,1),(28,1),(30,1),(33,1),(44,1)}
      23:{1,2,5,6}:{(15,1),(17,1),(19,1),(29,1),(31,1),(53,1),(54,1)}
      24:{4}:{(16,1)}
      25:{2,3,6}:{(16,1),(17,1),(20,1),(32,1)}
      26:{4,5}:{(18,1),(30,1),(33,1),(34,1)}
      27:{3,5,6}:{(18,1),(19,1),(20,1),(34,1)}
      28:{3,5}:{(21,1),(36,1),(37,1),(59,1)}
      29:{1,4,6}:{(21,1),(23,1),(37,1),(39,1)}
      30:{4}:{(22,1)}
      31:{2,3,5,6}:{(22,1),(23,1),(25,1),(27,1),(37,1),(39,1),(40,1),(41,1),(50,1),(51,1),(52,1)}
      32:{4,6}:{(24,1),(25,1),(40,1)}
      33:{2,5}:{(26,1),(38,1),(41,1)}
      34:{4,6}:{(26,1),(27,1),(41,1)}
      35:{1,3,5}:{(28,1),(42,1),(43,1),(54,1)}
      36:{3,4}:{(28,1),(30,1),(42,1),(44,1)}
      37:{3,6}:{(28,1),(29,1)}
      38:{2,4}:{(30,1),(33,1),(44,1)}
      39:{4,6}:{(30,1),(31,1),(47,1)}
      40:{5}:{(32,1)}
      41:{2,6}:{(33,1),(34,1)}
      42:{1,4}:{(35,1),(36,1),(48,1)}
      43:{1,3,6}:{(35,1),(37,1),(49,1),(59,1)}
      44:{2,3}:{(36,1),(38,1),(48,1)}
      45:{3,4,6}:{(36,1),(37,1),(39,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      46:{2,4,6}:{(38,1),(39,1),(41,1),(50,1),(52,1),(57,1)}
      47:{4,5}:{(39,1),(40,1),(51,1),(52,1),(57,1)}
      48:{1,2}:{(42,1),(44,1)}
      49:{1,4,6}:{(42,1),(43,1),(45,1),(53,1),(54,1),(58,1)}
      50:{2,3,6}:{(44,1),(45,1),(46,1),(53,1),(55,1)}
      51:{3,5}:{(45,1),(47,1),(54,1)}
      52:{2,5}:{(46,1),(47,1)}
      53:{1,2,6}:{(48,1),(49,1),(50,1),(56,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{2,3,5}:{(50,1),(51,1),(52,1),(56,1),(57,1),(59,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(55,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

272 :  0:{1,2,4,6}:{(2,1),(3,1),(5,1),(12,1),(15,1),(18,1),(34,1),(42,1),(51,1),(54,1),(58,1)}
       1:{1,2,5,6}:{(3,1),(4,1),(5,1),(32,1),(41,1),(42,1),(51,1)}
       2:{2,3,6}:{(0,1),(7,1),(8,1),(11,1),(46,1),(47,1),(57,1)}
       3:{1,2,5}:{(0,1),(8,1),(9,1),(21,1),(28,1),(48,1),(59,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(23,1),(28,1),(29,1),(30,1),(47,1),(55,1),(59,1)}
       5:{1,4,6}:{(1,1),(9,1),(10,1),(11,1)}
       6:{1,2,3,6}:{(2,1),(12,1),(13,1),(20,1),(42,1),(51,1),(52,1)}
       7:{3,4,6}:{(2,1),(12,1),(14,1),(15,1),(35,1),(36,1),(52,1),(58,1)}
       8:{2,3,5}:{(2,1),(3,1),(14,1),(15,1),(16,1),(37,1),(38,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(16,1),(17,1),(39,1),(41,1),(54,1)}
      10:{4,6}:{(4,1),(15,1),(17,1)}
      11:{3,6}:{(5,1),(16,1)}
      12:{1,4,6}:{(6,1),(7,1),(21,1),(22,1)}
      13:{1,2,3,5}:{(6,1),(8,1),(21,1),(22,1),(27,1),(44,1),(45,1),(46,1),(48,1),(49,1),(57,1)}
      14:{3,5}:{(7,1),(21,1),(24,1),(59,1)}
      15:{4}:{(8,1)}
      16:{3,5}:{(9,1),(11,1),(26,1),(57,1)}
      17:{4,5}:{(10,1),(28,1),(29,1),(50,1),(59,1)}
      18:{2,4,6}:{(10,1),(25,1),(28,1),(30,1),(47,1),(50,1)}
      19:{3,4,6}:{(10,1),(11,1),(26,1),(29,1),(30,1),(31,1),(50,1),(57,1)}
      20:{1,3,6}:{(11,1),(27,1),(31,1),(57,1)}
      21:{1,5}:{(12,1),(14,1)}
      22:{1,4}:{(13,1),(15,1),(35,1)}
      23:{3,5,6}:{(14,1),(32,1),(36,1),(52,1)}
      24:{4,5}:{(14,1),(15,1),(36,1),(37,1)}
      25:{2,4}:{(15,1),(37,1),(38,1)}
      26:{3,4}:{(15,1),(16,1),(38,1),(39,1)}
      27:{1,3,5}:{(16,1),(20,1),(39,1),(41,1)}
      28:{2,5}:{(17,1),(18,1)}
      29:{3,5}:{(17,1),(19,1),(41,1)}
      30:{2,3,6}:{(18,1),(19,1),(38,1),(40,1),(42,1)}
      31:{1,4,6}:{(19,1),(20,1),(39,1),(41,1),(42,1),(54,1)}
      32:{1,5,6}:{(21,1),(23,1),(43,1),(59,1)}
      33:{1,4,5}:{(21,1),(22,1),(24,1),(43,1),(44,1),(45,1),(56,1),(59,1)}
      34:{1,2,4}:{(22,1),(25,1),(44,1),(46,1),(48,1),(56,1)}
      35:{3,4}:{(22,1),(45,1),(46,1),(56,1),(57,1)}
      36:{4,6}:{(23,1),(24,1),(47,1)}
      37:{2,5}:{(24,1),(25,1),(47,1)}
      38:{2,3}:{(25,1),(26,1),(48,1)}
      39:{1,4}:{(26,1),(27,1),(48,1)}
      40:{2,3,5}:{(28,1),(29,1),(30,1),(49,1),(50,1),(57,1)}
      41:{1,5}:{(29,1),(31,1)}
      42:{1,2,6}:{(30,1),(31,1),(48,1),(49,1)}
      43:{1,4,6}:{(32,1),(33,1),(36,1),(51,1),(52,1),(58,1)}
      44:{1,2,5}:{(33,1),(34,1),(37,1),(51,1),(53,1)}
      45:{3,5}:{(33,1),(35,1),(52,1)}
      46:{2,3}:{(34,1),(35,1)}
      47:{2,6}:{(36,1),(37,1)}
      48:{1,2}:{(38,1),(39,1)}
      49:{1,2,5}:{(40,1),(41,1),(42,1),(54,1)}
      50:{4}:{(40,1)}
      51:{1,2,6}:{(43,1),(44,1),(47,1),(55,1)}
      52:{3,6}:{(43,1),(45,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(55,1),(56,1),(59,1)}
      54:{1,4}:{(49,1),(50,1),(57,1)}
      55:{2,3,6}:{(51,1),(52,1),(53,1),(58,1)}
      56:{4}:{(53,1)}
      57:{3}:{(54,1)}
      58:{4,6}:{(55,1),(56,1),(59,1)}
      59:{5}:{(58,1)}

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

274 :   0:{1,4,5,6}:{(1,1),(2,1),(14,1),(16,1),(41,1),(132,1),(134,1),(167,1)}
        1:{1,2,5,6}:{(0,1),(4,1),(6,1),(24,1),(56,1),(59,1),(154,1)}
        2:{3,5,6}:{(0,1),(5,1),(61,1),(161,1)}
        3:{1,3,4,6}:{(9,1),(10,1),(14,1),(30,1),(40,1),(168,1),(169,1),(171,1)}
        4:{1,2,4,6}:{(1,1),(11,1),(12,1),(16,1),(36,1),(128,1),(130,1),(134,1)}
        5:{3,4,6}:{(2,1),(8,1),(13,1),(14,1),(16,1)}
        6:{2,3,5,6}:{(1,1),(2,1),(12,1),(13,1),(16,1),(37,1),(39,1),(84,1)}
        7:{1,3,5,6}:{(2,1),(9,1),(14,1),(167,1),(169,1)}
        8:{3,4,5}:{(5,1),(17,1),(18,1),(27,1),(46,1),(61,1),(111,1)}
        9:{1,3,5}:{(3,1),(18,1),(61,1),(191,1)}
       10:{1,2,3,6}:{(3,1),(19,1),(20,1),(24,1),(58,1),(96,1),(188,1)}
       11:{1,2,4,5}:{(4,1),(21,1),(27,1),(51,1),(56,1),(59,1),(99,1),(101,1),(105,1),(111,1),(162,1)}
       12:{2,3,6}:{(4,1),(21,1),(23,1),(161,1)}
       13:{2,3,6}:{(5,1),(17,1),(24,1),(25,1)}
       14:{1,4,6}:{(5,1),(7,1),(18,1),(24,1)}
       15:{1,2,3,5,6}:{(6,1),(7,1),(19,1),(22,1),(24,1),(26,1),(49,1),(56,1),(58,1),(59,1),(61,1),(96,1),(107,1),(108,1),(110,1),(112,1),(146,1),(161,1),(164,1),(191,1)}
       16:{4,6}:{(6,1),(27,1),(111,1)}
       17:{2,3,5}:{(8,1),(13,1),(28,1),(29,1),(39,1),(66,1)}
       18:{1,4,5}:{(8,1),(9,1),(14,1),(28,1),(30,1)}
       19:{1,2,3,5}:{(9,1),(10,1),(28,1),(30,1),(32,1),(66,1),(69,1),(84,1)}
       20:{1,2,4,6}:{(10,1),(30,1),(31,1),(32,1),(70,1),(170,1),(171,1),(172,1)}
       21:{2,3,5}:{(11,1),(12,1),(34,1),(37,1),(133,1),(182,1)}
       22:{1,2,3,6}:{(12,1),(33,1),(36,1),(130,1),(131,1)}
       23:{3,4,6}:{(12,1),(16,1),(34,1),(36,1),(37,1)}
       24:{1,2,6}:{(13,1),(14,1),(28,1)}
       25:{2,4,6}:{(13,1),(16,1),(29,1),(39,1)}
       26:{1,4,6}:{(15,1),(16,1),(30,1),(40,1),(41,1),(135,1),(140,1)}
       27:{4,5}:{(16,1),(37,1),(39,1)}
       28:{1,2,5}:{(17,1),(18,1),(24,1),(44,1)}
       29:{2,4}:{(17,1),(111,1)}
       30:{1,4}:{(19,1),(46,1),(111,1)}
       31:{2,3,4,6}:{(20,1),(46,1),(48,1),(58,1),(96,1),(98,1),(111,1),(149,1),(150,1),(151,1),(165,1)}
       32:{1,2,5}:{(20,1),(47,1),(48,1),(191,1)}
       33:{1,2,3,5}:{(21,1),(22,1),(51,1),(56,1),(100,1),(101,1),(103,1)}
       34:{3,4}:{(21,1),(51,1),(111,1)}
       35:{2,3,4,6}:{(23,1),(25,1),(43,1),(50,1),(53,1),(54,1),(58,1),(91,1),(102,1),(106,1),(111,1),(150,1),(160,1),(161,1),(165,1),(196,1),(199,1),(218,1),(221,1)}
       36:{1,4,6}:{(22,1),(23,1),(51,1),(56,1)}
       37:{3,5}:{(23,1),(27,1),(56,1)}
       38:{1,2,4,6}:{(24,1),(25,1),(26,1),(44,1),(58,1),(59,1),(111,1),(162,1),(164,1),(165,1)}
       39:{2,5}:{(25,1),(27,1)}
       40:{3,4,6}:{(26,1),(46,1),(58,1),(61,1),(96,1),(111,1),(160,1),(161,1)}
       41:{1,4,5}:{(26,1),(27,1),(56,1),(59,1),(61,1),(111,1),(166,1),(191,1)}
       42:{4,5,6}:{(27,1),(57,1),(60,1),(106,1),(219,1)}
       43:{2,3,4}:{(29,1),(63,1),(64,1),(66,1),(121,1),(226,1),(229,1)}
       44:{1,2,4}:{(28,1),(29,1),(30,1),(66,1)}
       45:{2,4,5}:{(29,1),(39,1),(64,1),(68,1),(78,1),(225,1),(226,1)}
       46:{3,4}:{(30,1),(66,1),(69,1)}
       47:{1,4,5}:{(30,1),(32,1),(69,1),(70,1),(71,1)}
       48:{2,3,5}:{(31,1),(32,1),(69,1),(71,1),(175,1),(186,1)}
       49:{1,2,5,6}:{(32,1),(70,1),(72,1),(172,1),(173,1)}
       50:{2,3,4}:{(34,1),(73,1),(74,1),(139,1),(178,1),(182,1)}
       51:{1,4}:{(33,1),(34,1)}
       52:{3,4,5}:{(34,1),(37,1),(74,1),(76,1),(77,1),(78,1),(133,1),(178,1),(209,1)}
       53:{1,2,4,6}:{(35,1),(36,1),(63,1),(73,1),(79,1),(80,1),(118,1),(130,1),(134,1),(135,1),(171,1),(180,1)}
       54:{2,3,5}:{(35,1),(37,1),(39,1),(78,1),(80,1),(133,1),(175,1),(186,1),(209,1),(225,1)}
       55:{1,3,4,6}:{(36,1),(40,1),(65,1),(75,1),(79,1),(82,1),(120,1),(131,1),(135,1),(138,1),(171,1),(180,1),(183,1)}
       56:{1,5}:{(36,1),(37,1)}
       57:{3,5,6}:{(37,1),(42,1),(77,1),(83,1),(209,1)}
       58:{2,3,6}:{(38,1),(40,1),(66,1),(84,1),(182,1)}
       59:{1,2,5}:{(38,1),(39,1),(41,1),(84,1),(186,1)}
       60:{2,5,6}:{(39,1),(42,1),(68,1),(225,1)}
       61:{3,5}:{(40,1),(41,1)}
       62:{1,4,5,6}:{(41,1),(42,1),(70,1),(83,1),(85,1),(87,1),(126,1),(134,1),(138,1),(140,1),(173,1),(185,1),(206,1)}
       63:{1,2,4}:{(43,1),(89,1),(90,1),(145,1)}
       64:{2,3,5}:{(43,1),(45,1),(88,1),(90,1),(91,1)}
       65:{1,3,4}:{(46,1),(89,1),(92,1),(145,1),(228,1)}
       66:{2,3}:{(44,1),(46,1)}
       67:{1,2,4,5}:{(44,1),(45,1),(47,1),(59,1),(90,1),(93,1),(94,1),(97,1),(105,1),(111,1),(145,1),(147,1),(162,1),(166,1),(191,1),(201,1),(216,1),(221,1),(227,1)}
       68:{2,4,6}:{(45,1),(60,1),(91,1),(106,1)}
       69:{3,5}:{(46,1),(47,1),(96,1)}
       70:{1,4,6}:{(47,1),(49,1),(96,1),(98,1)}
       71:{4,5}:{(48,1),(98,1),(111,1)}
       72:{2,3,5,6}:{(48,1),(49,1),(96,1),(98,1),(151,1),(152,1),(153,1)}
       73:{1,2,4}:{(50,1),(51,1),(100,1),(101,1),(157,1)}
       74:{2,3,5}:{(50,1),(52,1),(99,1),(101,1),(102,1)}
       75:{1,3,4}:{(51,1),(100,1),(103,1),(157,1),(160,1)}
       76:{1,4,5}:{(51,1),(52,1),(56,1),(101,1),(103,1),(104,1),(157,1),(197,1)}
       77:{3,4,6}:{(52,1),(57,1),(102,1),(104,1),(106,1),(161,1)}
       78:{4,5}:{(54,1),(106,1),(111,1),(221,1)}
       79:{1,2,3,6}:{(53,1),(55,1),(58,1),(89,1),(100,1),(107,1),(161,1),(164,1),(199,1)}
       80:{1,2,5}:{(53,1),(54,1),(56,1),(105,1),(191,1),(197,1)}
       81:{2,3,5,6}:{(54,1),(57,1),(60,1),(91,1),(102,1),(106,1),(108,1),(142,1),(154,1),(161,1)}
       82:{1,3,5}:{(55,1),(56,1),(61,1),(109,1),(191,1),(197,1),(200,1)}
       83:{1,5,6}:{(56,1),(57,1),(104,1),(197,1)}
       84:{2,3,5}:{(58,1),(59,1),(61,1),(111,1)}
       85:{1,2,5,6}:{(59,1),(60,1),(62,1),(94,1),(112,1),(153,1),(164,1),(191,1),(201,1)}
       86:{3,4,5}:{(61,1),(109,1),(111,1),(113,1),(114,1),(160,1),(166,1),(200,1),(221,1)}
       87:{3,5,6}:{(61,1),(62,1),(96,1),(114,1),(161,1),(200,1),(217,1)}
       88:{3,4,5}:{(64,1),(78,1),(115,1),(116,1),(121,1),(133,1),(175,1)}
       89:{1,2,3}:{(63,1),(65,1),(66,1),(229,1)}
       90:{1,2,5}:{(63,1),(64,1),(115,1),(118,1)}
       91:{2,3,6}:{(64,1),(68,1),(116,1),(118,1)}
       92:{1,3,5}:{(65,1),(69,1),(119,1),(120,1),(224,1)}
       93:{2,3,5}:{(66,1),(67,1),(69,1),(121,1),(122,1),(133,1),(175,1),(182,1),(224,1),(229,1)}
       94:{1,2,4,6}:{(67,1),(68,1),(70,1),(85,1),(118,1),(122,1),(125,1),(134,1),(140,1),(171,1),(172,1),(206,1)}
       95:{3,4,5}:{(69,1),(71,1),(119,1),(121,1),(123,1),(124,1),(175,1),(207,1),(224,1)}
       96:{3,6}:{(69,1),(70,1)}
       97:{2,4,5}:{(71,1),(123,1),(125,1),(139,1),(186,1),(207,1)}
       98:{4,6}:{(71,1),(72,1)}
       99:{2,4,5}:{(74,1),(78,1),(128,1),(139,1),(186,1)}
      100:{1,2,3}:{(73,1),(75,1),(182,1)}
      101:{1,2,5}:{(73,1),(74,1),(76,1),(130,1)}
      102:{2,3,6}:{(74,1),(77,1),(128,1),(130,1)}
      103:{1,3,5}:{(75,1),(76,1),(131,1),(133,1)}
      104:{1,4,6}:{(76,1),(77,1),(83,1),(130,1),(131,1)}
      105:{1,4,5}:{(78,1),(80,1),(133,1),(134,1),(135,1)}
      106:{4,6}:{(78,1),(81,1)}
      107:{1,2,3,5}:{(79,1),(80,1),(82,1),(84,1),(133,1),(135,1),(137,1),(182,1),(212,1)}
      108:{1,2,5,6}:{(80,1),(81,1),(83,1),(118,1),(130,1),(134,1),(167,1)}
      109:{1,4,5}:{(82,1),(86,1),(135,1),(137,1),(138,1)}
      110:{1,3,5,6}:{(82,1),(83,1),(87,1),(120,1),(131,1),(138,1),(173,1)}
      111:{4}:{(84,1)}
      112:{2,3,5,6}:{(84,1),(85,1),(87,1),(122,1),(140,1),(141,1),(175,1),(186,1),(212,1)}
      113:{2,3,5}:{(86,1),(137,1),(139,1),(141,1),(182,1),(186,1)}
      114:{3,4,6}:{(86,1),(87,1),(138,1),(140,1),(141,1)}
      115:{1,4,5}:{(88,1),(90,1),(143,1),(144,1),(145,1),(191,1)}
      116:{3,4,6}:{(88,1),(91,1),(106,1),(142,1),(144,1),(161,1)}
      117:{1,2,3,5}:{(89,1),(90,1),(92,1),(93,1),(143,1),(145,1),(146,1),(147,1),(188,1),(191,1)}
      118:{1,2,6}:{(90,1),(91,1),(144,1)}
      119:{1,4,5}:{(92,1),(95,1),(145,1),(147,1),(148,1),(191,1)}
      120:{1,3,6}:{(92,1),(96,1),(148,1),(217,1)}
      121:{3,4}:{(93,1),(111,1),(145,1),(221,1)}
      122:{2,3,6}:{(93,1),(94,1),(96,1),(150,1),(161,1),(217,1)}
      123:{2,3,5}:{(95,1),(97,1),(147,1),(149,1),(151,1)}
      124:{3,4,6}:{(95,1),(96,1),(98,1),(148,1),(151,1),(152,1),(194,1),(217,1)}
      125:{2,4,6}:{(97,1),(98,1),(151,1),(153,1),(194,1)}
      126:{4,5,6}:{(98,1),(152,1),(153,1),(166,1),(194,1)}
      127:{1,2,4,5}:{(99,1),(101,1),(105,1),(155,1),(156,1),(157,1),(162,1),(197,1),(201,1),(219,1),(221,1)}
      128:{2,4,6}:{(99,1),(102,1),(106,1),(154,1)}
      129:{1,2,3,5}:{(100,1),(101,1),(103,1),(155,1),(157,1),(158,1),(197,1)}
      130:{1,2,6}:{(101,1),(102,1),(104,1)}
      131:{1,3,6}:{(103,1),(104,1),(161,1)}
      132:{4,5,6}:{(106,1),(142,1),(154,1),(166,1)}
      133:{3,5}:{(105,1),(160,1),(161,1)}
      134:{1,4,6}:{(105,1),(106,1),(108,1),(161,1)}
      135:{1,4}:{(107,1),(111,1),(160,1),(221,1)}
      136:{1,2,3,5,6}:{(107,1),(108,1),(110,1),(112,1),(146,1),(158,1),(161,1),(163,1),(164,1),(187,1),(191,1),(192,1),(195,1),(197,1),(199,1),(200,1),(201,1),(213,1),(215,1),(217,1)}
      137:{1,2,5}:{(109,1),(113,1),(162,1),(164,1)}
      138:{1,4,6}:{(109,1),(110,1),(114,1),(164,1)}
      139:{2,4}:{(111,1),(113,1),(221,1)}
      140:{4,6}:{(111,1),(112,1),(166,1),(221,1)}
      141:{2,3,6}:{(113,1),(114,1),(164,1),(165,1)}
      142:{3,5,6}:{(116,1),(132,1),(167,1),(175,1)}
      143:{1,3,5}:{(115,1),(133,1),(168,1),(169,1)}
      144:{1,4,6}:{(115,1),(116,1),(118,1),(167,1),(169,1)}
      145:{1,4}:{(117,1),(121,1)}
      146:{1,2,3,6}:{(117,1),(118,1),(120,1),(122,1),(169,1),(171,1),(172,1)}
      147:{1,2,5}:{(119,1),(123,1),(170,1),(172,1)}
      148:{1,4,6}:{(119,1),(120,1),(124,1),(172,1),(173,1)}
      149:{2,3,4}:{(121,1),(123,1),(139,1),(170,1),(182,1)}
      150:{3,4,6}:{(121,1),(122,1),(140,1),(171,1),(175,1)}
      151:{2,3,6}:{(123,1),(124,1),(125,1),(172,1)}
      152:{3,5,6}:{(124,1),(126,1),(173,1),(175,1)}
      153:{2,5,6}:{(125,1),(126,1),(186,1)}
      154:{2,5,6}:{(128,1),(132,1),(186,1)}
      155:{2,3,5}:{(127,1),(133,1),(178,1),(179,1),(182,1),(209,1)}
      156:{1,2,4,6}:{(127,1),(128,1),(130,1),(134,1),(177,1),(179,1),(180,1),(208,1)}
      157:{1,4}:{(129,1),(178,1)}
      158:{1,2,3,6}:{(129,1),(130,1),(131,1),(179,1),(180,1)}
      159:{1,4,5,6}:{(132,1),(134,1),(167,1),(177,1),(181,1),(185,1),(202,1),(208,1)}
      160:{3,4}:{(133,1),(135,1),(182,1)}
      161:{3,6}:{(133,1),(134,1)}
      162:{1,2,4}:{(135,1),(137,1),(139,1),(182,1)}
      163:{1,4,6}:{(135,1),(136,1),(140,1),(183,1),(185,1),(208,1),(223,1)}
      164:{1,2,6}:{(137,1),(138,1),(141,1)}
      165:{2,4,6}:{(139,1),(140,1),(141,1),(186,1)}
      166:{4,5}:{(140,1),(175,1),(186,1)}
      167:{1,5,6}:{(142,1),(144,1),(191,1)}
      168:{1,3,4}:{(143,1),(145,1),(160,1),(188,1)}
      169:{1,3,6}:{(143,1),(144,1),(161,1)}
      170:{1,2,4}:{(145,1),(147,1),(149,1),(188,1)}
      171:{1,4,6}:{(145,1),(146,1),(150,1),(191,1)}
      172:{1,2,6}:{(147,1),(148,1),(151,1)}
      173:{1,5,6}:{(148,1),(152,1),(191,1)}
      174:{2,3,4,6}:{(149,1),(150,1),(151,1),(165,1),(190,1),(193,1),(194,1),(199,1),(217,1),(221,1),(228,1)}
      175:{3,5}:{(150,1),(166,1),(191,1)}
      176:{2,3,5,6}:{(151,1),(152,1),(153,1),(192,1),(193,1),(194,1),(217,1)}
      177:{1,2,5,6}:{(154,1),(156,1),(159,1),(195,1),(197,1),(201,1),(213,1)}
      178:{3,4}:{(155,1),(157,1),(221,1)}
      179:{2,3,6}:{(155,1),(156,1),(161,1),(196,1)}
      180:{1,4,6}:{(157,1),(158,1),(196,1),(197,1)}
      181:{3,5,6}:{(159,1),(161,1),(198,1),(200,1)}
      182:{2,3}:{(160,1),(162,1)}
      183:{3,4,6}:{(160,1),(161,1),(163,1),(199,1),(200,1),(217,1),(221,1),(228,1)}
      184:{1,2,4,6}:{(162,1),(163,1),(164,1),(165,1),(199,1),(201,1),(213,1),(218,1),(221,1),(227,1)}
      185:{1,4,5}:{(163,1),(166,1),(191,1),(197,1),(200,1),(201,1),(219,1),(221,1)}
      186:{2,5}:{(165,1),(166,1)}
      187:{1,3,5,6}:{(167,1),(169,1),(181,1),(202,1),(204,1)}
      188:{1,2,3}:{(168,1),(170,1),(182,1)}
      189:{1,3,4,6}:{(168,1),(169,1),(171,1),(183,1),(202,1),(203,1),(204,1),(223,1)}
      190:{1,2,4,6}:{(170,1),(171,1),(172,1),(174,1),(203,1),(205,1),(206,1),(223,1)}
      191:{1,5}:{(171,1),(175,1)}
      192:{1,2,5,6}:{(172,1),(173,1),(176,1),(205,1),(206,1)}
      193:{2,3,5}:{(174,1),(175,1),(186,1),(205,1),(207,1),(224,1)}
      194:{4,6}:{(176,1),(207,1)}
      195:{2,3,5,6}:{(177,1),(179,1),(181,1),(208,1),(209,1),(210,1),(212,1),(225,1)}
      196:{3,4,6}:{(178,1),(179,1),(180,1),(208,1),(209,1)}
      197:{1,5}:{(180,1),(209,1)}
      198:{3,4,6}:{(181,1),(202,1),(208,1),(210,1),(211,1)}
      199:{2,3,6}:{(182,1),(183,1),(184,1),(212,1),(229,1)}
      200:{3,5}:{(183,1),(185,1)}
      201:{1,2,5}:{(184,1),(185,1),(186,1),(212,1),(225,1)}
      202:{1,4,6}:{(187,1),(198,1),(213,1),(214,1)}
      203:{1,2,3,6}:{(188,1),(189,1),(190,1),(199,1),(213,1),(215,1),(217,1)}
      204:{1,3,5}:{(189,1),(191,1),(200,1),(214,1)}
      205:{1,2,5}:{(190,1),(191,1),(193,1),(216,1)}
      206:{1,4,6}:{(192,1),(194,1),(216,1),(217,1)}
      207:{4,5}:{(193,1),(194,1),(221,1)}
      208:{4,6}:{(195,1),(219,1),(221,1)}
      209:{3,5}:{(196,1),(197,1),(219,1)}
      210:{2,3,6}:{(198,1),(213,1),(218,1),(220,1)}
      211:{3,4,5}:{(198,1),(200,1),(214,1),(219,1),(220,1),(221,1),(228,1)}
      212:{2,3,5}:{(199,1),(200,1),(201,1),(221,1)}
      213:{1,2,6}:{(202,1),(210,1),(222,1)}
      214:{1,4,5}:{(202,1),(204,1),(211,1),(222,1),(223,1)}
      215:{1,2,3,5}:{(203,1),(204,1),(205,1),(212,1),(222,1),(223,1),(224,1),(229,1)}
      216:{1,4,5}:{(205,1),(206,1),(207,1),(223,1),(224,1)}
      217:{3,6}:{(206,1),(224,1)}
      218:{2,4,6}:{(208,1),(210,1),(225,1),(226,1)}
      219:{4,5}:{(208,1),(209,1),(225,1)}
      220:{2,3,5}:{(210,1),(211,1),(222,1),(225,1),(226,1),(229,1)}
      221:{4}:{(212,1)}
      222:{1,2,5}:{(213,1),(214,1),(220,1),(227,1)}
      223:{1,4}:{(215,1),(221,1),(228,1)}
      224:{3,5}:{(216,1),(217,1),(228,1)}
      225:{2,5}:{(218,1),(219,1)}
      226:{2,4}:{(220,1),(221,1)}
      227:{1,2,4}:{(222,1),(223,1),(226,1),(229,1)}
      228:{3,4}:{(223,1),(224,1),(229,1)}
      229:{2,3}:{(227,1),(228,1)}

275 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

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

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

278 :  0:{1,2,3,6}:{(2,1),(3,1),(4,1),(34,1),(35,1),(42,1),(54,1)}
       1:{1,2,4,6}:{(2,1),(4,1),(5,1),(15,1),(18,1),(19,1),(34,1),(38,1),(51,1),(54,1),(58,1)}
       2:{1,4,6}:{(0,1),(6,1),(7,1),(8,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(9,1),(24,1),(25,1),(26,1),(31,1),(50,1),(56,1),(59,1)}
       4:{2,3,6}:{(1,1),(6,1),(9,1),(26,1),(30,1),(43,1),(59,1)}
       5:{1,2,5}:{(1,1),(7,1),(9,1),(11,1),(46,1),(50,1),(55,1)}
       6:{3,4,6}:{(2,1),(4,1),(12,1),(16,1),(18,1),(32,1),(35,1),(51,1)}
       7:{1,5}:{(2,1),(12,1)}
       8:{1,4}:{(3,1),(16,1),(18,1)}
       9:{2,3,5}:{(4,1),(5,1),(12,1),(18,1),(20,1),(33,1),(40,1)}
      10:{1,2,5,6}:{(5,1),(13,1),(17,1),(19,1),(34,1),(53,1),(54,1)}
      11:{1,4,5}:{(5,1),(18,1),(19,1),(20,1),(37,1),(41,1),(53,1),(58,1)}
      12:{3,5}:{(6,1),(7,1),(22,1),(55,1)}
      13:{1,5,6}:{(7,1),(21,1),(23,1),(55,1)}
      14:{1,4,5}:{(7,1),(8,1),(22,1),(23,1),(24,1),(25,1),(45,1),(55,1)}
      15:{1,2,4}:{(8,1),(24,1),(26,1),(28,1),(45,1),(50,1)}
      16:{3,4}:{(8,1),(25,1),(26,1),(45,1),(59,1)}
      17:{2,3,5,6}:{(9,1),(10,1),(21,1),(27,1),(30,1),(43,1),(44,1),(46,1),(47,1),(48,1),(55,1)}
      18:{4}:{(9,1)}
      19:{1,4,6}:{(10,1),(11,1),(27,1),(30,1)}
      20:{3,5}:{(11,1),(29,1),(30,1),(59,1)}
      21:{3,5,6}:{(12,1),(13,1),(32,1),(35,1)}
      22:{4,5}:{(12,1),(18,1),(32,1),(33,1)}
      23:{1,4,6}:{(13,1),(14,1),(32,1),(34,1),(35,1),(51,1)}
      24:{1,2,5}:{(14,1),(15,1),(33,1),(34,1),(36,1)}
      25:{3,5}:{(14,1),(16,1),(35,1)}
      26:{2,3}:{(15,1),(16,1)}
      27:{4,6}:{(17,1),(18,1),(37,1)}
      28:{2,4}:{(18,1),(33,1),(40,1)}
      29:{3,4}:{(18,1),(20,1),(40,1),(41,1)}
      30:{3,6}:{(19,1),(20,1)}
      31:{1,3,5}:{(20,1),(41,1),(42,1),(53,1)}
      32:{4,6}:{(21,1),(22,1),(43,1)}
      33:{2,5}:{(22,1),(28,1),(43,1)}
      34:{1,2,6}:{(23,1),(24,1),(43,1),(44,1)}
      35:{3,6}:{(23,1),(25,1)}
      36:{2,3,5}:{(24,1),(25,1),(26,1),(44,1),(45,1),(55,1)}
      37:{4,5}:{(27,1),(46,1),(47,1),(55,1),(57,1)}
      38:{2,4,6}:{(27,1),(28,1),(43,1),(46,1),(48,1),(57,1)}
      39:{3,4,6}:{(27,1),(29,1),(30,1),(47,1),(48,1),(49,1),(57,1),(59,1)}
      40:{2,3}:{(28,1),(29,1),(50,1)}
      41:{1,4}:{(29,1),(31,1),(50,1)}
      42:{1,3,6}:{(30,1),(31,1),(49,1),(59,1)}
      43:{2,6}:{(32,1),(33,1)}
      44:{2,3,6}:{(34,1),(35,1),(36,1),(51,1)}
      45:{4}:{(36,1)}
      46:{2,5}:{(37,1),(38,1)}
      47:{3,5}:{(37,1),(39,1),(53,1)}
      48:{2,3,6}:{(38,1),(39,1),(40,1),(52,1),(54,1)}
      49:{1,4,6}:{(39,1),(41,1),(42,1),(53,1),(54,1),(58,1)}
      50:{1,2}:{(40,1),(41,1)}
      51:{4,6}:{(44,1),(45,1),(55,1)}
      52:{2,3,5}:{(46,1),(47,1),(48,1),(56,1),(57,1),(59,1)}
      53:{1,5}:{(47,1),(49,1)}
      54:{1,2,6}:{(48,1),(49,1),(50,1),(56,1)}
      55:{5}:{(51,1)}
      56:{1,2,5}:{(52,1),(53,1),(54,1),(58,1)}
      57:{4}:{(52,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

279 :  0:{1,2,3}:{(4,1),(5,1),(55,1),(62,1)}
       1:{1,2,4}:{(4,1),(5,1),(6,1),(22,1),(44,1),(53,1),(62,1)}
       2:{1,4,5}:{(6,1),(7,1),(8,1),(9,1),(22,1),(28,1),(40,1),(42,1),(44,1)}
       3:{1,3,5}:{(7,1),(9,1),(10,1),(28,1)}
       4:{1,4}:{(0,1),(11,1),(12,1)}
       5:{2,3}:{(1,1),(11,1),(50,1)}
       6:{1,2,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(18,1),(48,1)}
       7:{3,5}:{(2,1),(16,1),(17,1),(50,1)}
       8:{1,4,6}:{(2,1),(14,1),(15,1),(17,1),(32,1),(33,1)}
       9:{1,4}:{(3,1),(16,1),(18,1)}
      10:{1,3,6}:{(3,1),(17,1),(19,1),(50,1)}
      11:{3,4}:{(4,1),(5,1),(20,1),(22,1)}
      12:{1,5}:{(4,1),(20,1),(21,1)}
      13:{2,3,5}:{(5,1),(6,1),(7,1),(20,1),(22,1),(23,1),(25,1),(37,1),(40,1)}
      14:{1,2,6}:{(6,1),(8,1),(21,1),(23,1),(41,1)}
      15:{1,5,6}:{(8,1),(24,1),(28,1),(40,1)}
      16:{3,4}:{(7,1),(9,1),(22,1),(25,1)}
      17:{3,6}:{(7,1),(8,1)}
      18:{1,2}:{(9,1),(25,1)}
      19:{1,4,6}:{(9,1),(10,1),(26,1),(27,1),(28,1),(44,1)}
      20:{3,5}:{(11,1),(12,1),(29,1),(30,1)}
      21:{1,6}:{(12,1),(30,1)}
      22:{4}:{(13,1)}
      23:{2,3,6}:{(13,1),(14,1),(17,1),(30,1),(32,1),(45,1)}
      24:{3,5,6}:{(15,1),(17,1),(33,1),(35,1)}
      25:{2,3}:{(16,1),(18,1),(31,1)}
      26:{3,4,6}:{(16,1),(17,1),(19,1),(32,1),(33,1),(34,1),(35,1),(49,1),(50,1)}
      27:{1,2,6}:{(18,1),(19,1),(34,1),(36,1),(63,1)}
      28:{1,5}:{(19,1),(35,1)}
      29:{4,5}:{(20,1),(22,1),(37,1),(38,1),(40,1)}
      30:{3,6}:{(20,1),(21,1),(38,1)}
      31:{2,4}:{(22,1),(25,1),(37,1)}
      32:{4,6}:{(22,1),(23,1),(40,1)}
      33:{4,6}:{(24,1),(41,1),(42,1)}
      34:{2,3,6}:{(25,1),(26,1),(27,1),(39,1),(41,1),(43,1),(60,1)}
      35:{3,5}:{(26,1),(28,1),(40,1),(42,1)}
      36:{1,2,5}:{(27,1),(28,1),(43,1),(44,1),(61,1),(62,1)}
      37:{2,5}:{(29,1),(31,1),(45,1)}
      38:{4,6}:{(29,1),(30,1),(45,1),(46,1)}
      39:{2,4,6}:{(31,1),(32,1),(34,1),(45,1),(47,1),(49,1),(56,1)}
      40:{5}:{(32,1)}
      41:{2,6}:{(33,1),(48,1)}
      42:{4,5}:{(33,1),(35,1),(48,1),(49,1)}
      43:{2,3,5}:{(34,1),(35,1),(36,1),(47,1),(48,1),(49,1),(50,1),(57,1),(58,1)}
      44:{1,4}:{(36,1),(49,1),(50,1)}
      45:{2,6}:{(37,1),(38,1)}
      46:{5,6}:{(38,1),(40,1)}
      47:{2,5}:{(39,1),(40,1),(52,1)}
      48:{2,5}:{(41,1),(42,1),(53,1)}
      49:{4}:{(43,1)}
      50:{3}:{(44,1)}
      51:{2,5,6}:{(45,1),(46,1),(47,1),(56,1)}
      52:{4,5}:{(47,1),(49,1),(56,1),(57,1)}
      53:{2,4}:{(48,1),(49,1),(58,1)}
      54:{3,4}:{(49,1),(50,1),(57,1),(58,1),(59,1)}
      55:{1,3}:{(50,1),(59,1)}
      56:{4,6}:{(51,1),(52,1),(60,1)}
      57:{3,5}:{(52,1),(54,1),(60,1),(61,1)}
      58:{2,3}:{(53,1),(54,1),(62,1)}
      59:{1,4}:{(54,1),(55,1),(61,1),(62,1)}
      60:{3,6}:{(56,1),(57,1),(63,1)}
      61:{1,5}:{(57,1),(59,1),(63,1)}
      62:{1,2}:{(58,1),(59,1)}
      63:{1,6}:{(60,1),(61,1)}

280 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(38,1),(41,1),(59,1),(62,1),(65,1)}
       1:{4,5,6}:{(6,1),(7,1),(27,1),(70,1)}
       2:{3,4,6}:{(0,1),(7,1),(9,1),(10,1),(27,1),(48,1)}
       3:{2,3,5}:{(0,1),(9,1),(11,1),(12,1),(32,1),(33,1)}
       4:{1,4,5}:{(0,1),(8,1),(10,1),(11,1),(30,1),(53,1)}
       5:{2,4,5}:{(13,1),(14,1),(38,1)}
       6:{2,5,6}:{(1,1),(13,1),(76,1)}
       7:{3,5,6}:{(1,1),(2,1),(16,1),(62,1)}
       8:{1,3,5}:{(4,1),(17,1),(18,1),(59,1)}
       9:{2,3,6}:{(2,1),(3,1),(20,1),(21,1)}
      10:{1,4,6}:{(2,1),(4,1),(16,1),(18,1),(20,1)}
      11:{1,2,5}:{(3,1),(4,1),(20,1),(22,1)}
      12:{2,4}:{(3,1),(65,1)}
      13:{2,4,6}:{(5,1),(6,1),(23,1),(27,1),(72,1)}
      14:{2,3,5}:{(5,1),(23,1),(24,1),(25,1),(46,1)}
      15:{2,3,5,6}:{(6,1),(7,1),(9,1),(23,1),(26,1),(27,1),(32,1),(46,1),(48,1),(56,1)}
      16:{1,5,6}:{(7,1),(10,1),(53,1)}
      17:{1,3,4}:{(8,1),(28,1),(30,1),(67,1)}
      18:{1,3,6}:{(8,1),(10,1),(48,1)}
      19:{1,2,3,5}:{(8,1),(11,1),(28,1),(29,1),(30,1),(33,1),(51,1),(53,1),(54,1),(56,1)}
      20:{1,2,6}:{(9,1),(10,1),(11,1)}
      21:{2,4,6}:{(9,1),(12,1),(27,1),(32,1)}
      22:{1,2,4}:{(11,1),(12,1),(30,1),(33,1)}
      23:{2,3,6}:{(13,1),(14,1),(34,1),(35,1),(74,1)}
      24:{1,2,5}:{(14,1),(34,1),(36,1),(58,1)}
      25:{3,4}:{(14,1),(36,1)}
      26:{1,2,5,6}:{(15,1),(16,1),(20,1),(34,1),(37,1),(44,1),(58,1)}
      27:{4,6}:{(15,1),(38,1),(65,1)}
      28:{1,2,3}:{(17,1),(39,1),(74,1)}
      29:{1,2,3,6}:{(18,1),(19,1),(20,1),(40,1),(43,1),(61,1),(64,1)}
      30:{1,4}:{(19,1),(41,1),(65,1)}
      31:{1,2,4,6}:{(20,1),(21,1),(22,1),(37,1),(40,1),(43,1),(44,1),(65,1)}
      32:{2,5}:{(21,1),(38,1)}
      33:{2,3}:{(22,1),(41,1)}
      34:{1,2,6}:{(23,1),(24,1),(45,1),(78,1)}
      35:{3,4,6}:{(23,1),(25,1),(27,1),(45,1),(46,1),(48,1),(67,1)}
      36:{1,4}:{(24,1),(25,1),(47,1)}
      37:{1,4,6}:{(26,1),(27,1),(48,1),(49,1)}
      38:{4,5}:{(27,1),(32,1),(46,1)}
      39:{1,2,4}:{(28,1),(30,1),(50,1),(51,1),(72,1)}
      40:{1,4,6}:{(29,1),(30,1),(52,1),(53,1)}
      41:{3,4}:{(30,1),(33,1),(54,1)}
      42:{1,4,5}:{(30,1),(51,1),(53,1),(54,1),(55,1),(68,1),(70,1)}
      43:{2,3,6}:{(31,1),(33,1),(48,1),(52,1),(56,1),(80,1)}
      44:{1,2,5}:{(31,1),(32,1),(49,1),(53,1),(56,1),(78,1)}
      45:{1,4,6}:{(34,1),(35,1),(36,1),(57,1),(58,1),(73,1)}
      46:{3,5}:{(35,1),(38,1),(58,1)}
      47:{1,3}:{(36,1)}
      48:{3,6}:{(37,1),(59,1)}
      49:{1,4,5}:{(37,1),(38,1),(44,1),(58,1),(59,1),(65,1),(73,1)}
      50:{2,3,4}:{(39,1),(41,1),(60,1)}
      51:{1,2,5}:{(39,1),(42,1),(60,1),(61,1),(76,1)}
      52:{3,4,6}:{(40,1),(41,1),(43,1),(62,1),(64,1),(65,1),(77,1)}
      53:{1,5}:{(40,1),(62,1)}
      54:{3,5}:{(41,1),(42,1),(64,1)}
      55:{1,4,6}:{(42,1),(61,1),(63,1),(64,1),(75,1),(77,1)}
      56:{2,3,5}:{(43,1),(44,1),(59,1),(62,1),(65,1),(74,1),(76,1)}
      57:{1,3,6}:{(45,1),(47,1),(48,1),(66,1)}
      58:{1,5}:{(45,1),(46,1)}
      59:{3,5}:{(48,1),(49,1),(67,1)}
      60:{2,3,5}:{(50,1),(51,1),(54,1),(68,1),(69,1)}
      61:{1,2,6}:{(51,1),(55,1),(69,1),(80,1)}
      62:{3,5}:{(52,1),(53,1),(70,1)}
      63:{1,5,6}:{(53,1),(55,1),(71,1),(79,1)}
      64:{3,6}:{(54,1),(55,1)}
      65:{4}:{(56,1)}
      66:{1,3,5}:{(57,1),(58,1),(59,1),(73,1)}
      67:{3,4}:{(59,1),(65,1),(73,1),(74,1)}
      68:{4,5}:{(60,1),(75,1)}
      69:{2,3,6}:{(60,1),(61,1),(64,1),(75,1)}
      70:{4,5}:{(62,1),(65,1),(76,1),(77,1)}
      71:{3,5,6}:{(62,1),(63,1),(64,1),(77,1)}
      72:{2,4}:{(65,1),(74,1),(76,1)}
      73:{1,4}:{(66,1),(67,1),(78,1)}
      74:{2,3}:{(67,1),(72,1),(78,1)}
      75:{4,6}:{(68,1),(69,1),(79,1)}
      76:{2,5}:{(70,1),(72,1),(80,1)}
      77:{4,6}:{(70,1),(71,1),(80,1)}
      78:{1,2}:{(73,1),(74,1)}
      79:{5,6}:{(75,1)}
      80:{2,6}:{(76,1),(77,1)}

281 :  0:{1,3,4}:{(2,1),(3,1),(17,1),(71,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(28,1),(47,1),(51,1),(62,1),(63,1)}
       2:{1,3,5}:{(0,1),(6,1),(9,1),(63,1)}
       3:{1,2,3}:{(0,1),(10,1),(76,1)}
       4:{2,3,4}:{(10,1),(11,1),(28,1)}
       5:{2,3,5}:{(1,1),(12,1),(13,1),(14,1),(33,1),(36,1)}
       6:{1,4,5}:{(1,1),(2,1),(12,1),(15,1),(17,1),(42,1)}
       7:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(37,1),(55,1)}
       8:{1,2,3,5}:{(2,1),(3,1),(12,1),(17,1),(18,1),(20,1),(33,1),(39,1),(42,1),(53,1)}
       9:{1,3,6}:{(2,1),(15,1),(55,1)}
      10:{1,2,4}:{(3,1),(4,1),(17,1),(20,1),(70,1)}
      11:{2,3,5}:{(4,1),(19,1),(20,1),(21,1),(39,1)}
      12:{1,2,5}:{(5,1),(6,1),(22,1),(23,1)}
      13:{2,4}:{(5,1),(62,1)}
      14:{2,3,6}:{(5,1),(7,1),(23,1),(24,1)}
      15:{1,4,6}:{(6,1),(7,1),(9,1),(23,1),(26,1)}
      16:{3,5,6}:{(7,1),(26,1),(27,1),(51,1)}
      17:{1,4}:{(8,1),(28,1),(62,1)}
      18:{1,2,3,6}:{(8,1),(9,1),(23,1),(30,1),(32,1),(44,1),(50,1)}
      19:{4,5}:{(11,1),(31,1)}
      20:{1,2,5}:{(10,1),(11,1),(29,1),(32,1),(69,1)}
      21:{2,3,6}:{(11,1),(31,1),(32,1),(50,1)}
      22:{1,2,4}:{(12,1),(13,1),(17,1),(33,1)}
      23:{1,2,6}:{(12,1),(14,1),(15,1)}
      24:{2,4,6}:{(13,1),(14,1),(36,1),(37,1)}
      25:{2,3,5,6}:{(14,1),(16,1),(35,1),(36,1),(37,1),(38,1),(53,1),(55,1),(57,1),(58,1)}
      26:{1,5,6}:{(15,1),(16,1),(42,1)}
      27:{4,5,6}:{(16,1),(37,1),(38,1),(61,1)}
      28:{3,4}:{(17,1),(33,1),(39,1)}
      29:{1,4,5}:{(17,1),(19,1),(20,1),(39,1),(41,1),(42,1),(61,1)}
      30:{1,4,6}:{(17,1),(18,1),(40,1),(42,1)}
      31:{4,6}:{(19,1),(21,1),(43,1)}
      32:{1,2,6}:{(20,1),(21,1),(41,1),(75,1)}
      33:{2,3}:{(22,1),(28,1)}
      34:{1,2,4,6}:{(22,1),(23,1),(24,1),(30,1),(44,1),(45,1),(46,1),(62,1)}
      35:{1,2,5,6}:{(23,1),(25,1),(26,1),(45,1),(46,1),(66,1),(67,1)}
      36:{2,5}:{(24,1),(47,1)}
      37:{4,6}:{(25,1),(47,1),(62,1)}
      38:{2,5,6}:{(27,1),(48,1),(69,1)}
      39:{3,5}:{(28,1),(29,1),(50,1)}
      40:{3,4,6}:{(28,1),(30,1),(44,1),(50,1),(51,1),(62,1),(68,1)}
      41:{1,4,6}:{(29,1),(31,1),(32,1),(50,1),(52,1),(68,1)}
      42:{1,5}:{(30,1),(51,1)}
      43:{5,6}:{(31,1)}
      44:{2,3,6}:{(33,1),(34,1),(40,1),(53,1),(55,1),(75,1)}
      45:{1,2,5}:{(34,1),(36,1),(42,1),(53,1),(54,1),(79,1)}
      46:{1,4,6}:{(35,1),(37,1),(54,1),(55,1)}
      47:{4,5}:{(36,1),(37,1),(57,1)}
      48:{2,4,6}:{(37,1),(38,1),(56,1),(58,1),(70,1)}
      49:{3,4,6}:{(37,1),(55,1),(57,1),(58,1),(59,1),(71,1),(74,1)}
      50:{3,6}:{(39,1),(41,1)}
      51:{3,5}:{(40,1),(42,1),(61,1)}
      52:{1,5,6}:{(41,1),(42,1),(43,1),(60,1)}
      53:{2,3,5}:{(44,1),(45,1),(51,1),(62,1),(63,1),(69,1),(76,1)}
      54:{1,4,5}:{(45,1),(46,1),(47,1),(62,1),(63,1),(66,1),(77,1)}
      55:{3,6}:{(46,1),(63,1)}
      56:{2,4,5}:{(47,1),(48,1),(65,1)}
      57:{3,5}:{(47,1),(49,1),(66,1)}
      58:{2,3,6}:{(48,1),(49,1),(65,1),(67,1),(76,1)}
      59:{1,4,6}:{(49,1),(64,1),(66,1),(67,1),(77,1),(78,1)}
      60:{3,5,6}:{(50,1),(51,1),(52,1),(68,1)}
      61:{4,5}:{(51,1),(62,1),(68,1),(69,1)}
      62:{4}:{(53,1)}
      63:{3,5}:{(54,1),(55,1),(71,1)}
      64:{1,3,6}:{(55,1),(59,1),(72,1),(80,1)}
      65:{2,3,5}:{(56,1),(57,1),(58,1),(73,1),(74,1)}
      66:{1,5}:{(57,1),(59,1)}
      67:{1,2,6}:{(58,1),(59,1),(73,1),(79,1)}
      68:{4,6}:{(60,1),(61,1),(75,1)}
      69:{2,5}:{(61,1),(70,1),(75,1)}
      70:{2,4}:{(62,1),(69,1),(76,1)}
      71:{3,4}:{(62,1),(63,1),(76,1),(77,1)}
      72:{1,3,5}:{(63,1),(64,1),(66,1),(77,1)}
      73:{1,2,5}:{(65,1),(66,1),(67,1),(78,1)}
      74:{3,4}:{(65,1),(78,1)}
      75:{2,6}:{(68,1),(69,1)}
      76:{2,3}:{(70,1),(71,1),(79,1)}
      77:{1,4}:{(71,1),(72,1),(79,1)}
      78:{1,4}:{(73,1),(74,1),(80,1)}
      79:{1,2}:{(76,1),(77,1)}
      80:{1,3}:{(78,1)}

282 :  0:{2,3,4}:{(1,1),(2,1),(28,1)}
       1:{1,2,4}:{(0,1),(5,1),(6,1),(21,1),(71,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1),(18,1)}
       3:{1,3,4}:{(5,1),(8,1),(21,1),(72,1)}
       4:{4,5}:{(2,1),(11,1)}
       5:{1,2,3}:{(1,1),(3,1),(76,1)}
       6:{1,2,5}:{(1,1),(2,1),(10,1),(13,1),(65,1)}
       7:{2,3,6}:{(2,1),(11,1),(13,1),(29,1)}
       8:{1,3,5}:{(3,1),(14,1),(15,1),(66,1)}
       9:{3,4,5}:{(14,1),(16,1),(17,1),(28,1),(48,1),(52,1),(64,1),(66,1)}
      10:{1,4,5}:{(4,1),(6,1),(18,1),(19,1),(21,1),(42,1),(56,1)}
      11:{4,6}:{(4,1),(7,1),(20,1)}
      12:{1,2,3,5}:{(5,1),(6,1),(8,1),(18,1),(21,1),(22,1),(23,1),(38,1),(42,1),(55,1)}
      13:{1,2,6}:{(6,1),(7,1),(19,1),(57,1)}
      14:{1,4,5}:{(8,1),(9,1),(21,1),(23,1),(24,1),(42,1)}
      15:{1,3,6}:{(8,1),(24,1),(59,1)}
      16:{2,3,5}:{(9,1),(23,1),(25,1),(26,1),(38,1),(44,1)}
      17:{3,4,6}:{(9,1),(24,1),(26,1),(27,1),(45,1),(59,1)}
      18:{3,5}:{(10,1),(28,1),(29,1)}
      19:{1,4,6}:{(10,1),(11,1),(13,1),(29,1),(30,1),(49,1)}
      20:{5,6}:{(11,1)}
      21:{1,4}:{(12,1),(28,1),(64,1)}
      22:{1,2,3,6}:{(12,1),(13,1),(15,1),(29,1),(32,1),(33,1),(47,1)}
      23:{1,2,5}:{(14,1),(16,1),(31,1),(33,1)}
      24:{1,4,6}:{(14,1),(15,1),(17,1),(33,1),(34,1)}
      25:{2,4}:{(16,1),(64,1)}
      26:{2,3,6}:{(16,1),(17,1),(33,1),(35,1)}
      27:{3,5,6}:{(17,1),(34,1),(37,1),(48,1)}
      28:{3,4}:{(18,1),(21,1),(38,1)}
      29:{3,6}:{(18,1),(19,1)}
      30:{1,5,6}:{(19,1),(20,1),(40,1),(42,1)}
      31:{1,2,4}:{(21,1),(23,1),(25,1),(38,1)}
      32:{1,4,6}:{(21,1),(22,1),(39,1),(42,1)}
      33:{1,2,6}:{(23,1),(24,1),(26,1)}
      34:{1,5,6}:{(24,1),(27,1),(42,1)}
      35:{2,4,6}:{(25,1),(26,1),(44,1),(45,1)}
      36:{2,3,5,6}:{(26,1),(27,1),(43,1),(44,1),(45,1),(46,1),(55,1),(59,1),(61,1),(62,1)}
      37:{4,5,6}:{(27,1),(45,1),(46,1),(56,1)}
      38:{2,3}:{(28,1),(31,1)}
      39:{3,4,6}:{(28,1),(29,1),(32,1),(47,1),(48,1),(49,1),(64,1)}
      40:{3,5,6}:{(29,1),(30,1),(48,1),(49,1)}
      41:{1,2,4,6}:{(31,1),(32,1),(33,1),(35,1),(47,1),(50,1),(51,1),(64,1)}
      42:{1,5}:{(32,1),(48,1)}
      43:{1,2,5,6}:{(33,1),(34,1),(36,1),(50,1),(51,1),(69,1),(70,1)}
      44:{2,5}:{(35,1),(52,1)}
      45:{4,6}:{(36,1),(52,1),(64,1)}
      46:{2,5,6}:{(37,1),(53,1),(65,1)}
      47:{2,3,6}:{(38,1),(39,1),(41,1),(55,1),(57,1),(59,1)}
      48:{3,5}:{(39,1),(42,1),(56,1)}
      49:{4,6}:{(40,1),(56,1),(57,1)}
      50:{1,2,5}:{(41,1),(42,1),(44,1),(55,1),(58,1),(79,1)}
      51:{1,4,6}:{(43,1),(45,1),(58,1),(59,1)}
      52:{4,5}:{(44,1),(45,1),(61,1)}
      53:{2,4,6}:{(45,1),(46,1),(60,1),(62,1),(71,1)}
      54:{3,4,6}:{(45,1),(59,1),(61,1),(62,1),(63,1),(72,1),(75,1)}
      55:{2,3,5}:{(47,1),(48,1),(50,1),(64,1),(65,1),(66,1),(76,1)}
      56:{4,5}:{(48,1),(49,1),(64,1),(65,1)}
      57:{2,6}:{(49,1),(65,1)}
      58:{1,4,5}:{(50,1),(51,1),(52,1),(64,1),(66,1),(69,1),(77,1)}
      59:{3,6}:{(51,1),(66,1)}
      60:{2,4,5}:{(52,1),(53,1),(68,1)}
      61:{3,5}:{(52,1),(54,1),(69,1)}
      62:{2,3,6}:{(53,1),(54,1),(68,1),(70,1),(76,1)}
      63:{1,4,6}:{(54,1),(67,1),(69,1),(70,1),(77,1),(78,1)}
      64:{4}:{(55,1)}
      65:{2,5}:{(56,1),(57,1),(71,1)}
      66:{3,5}:{(58,1),(59,1),(72,1)}
      67:{1,3,6}:{(59,1),(63,1),(73,1),(80,1)}
      68:{2,3,5}:{(60,1),(61,1),(62,1),(74,1),(75,1)}
      69:{1,5}:{(61,1),(63,1)}
      70:{1,2,6}:{(62,1),(63,1),(74,1),(79,1)}
      71:{2,4}:{(64,1),(65,1),(76,1)}
      72:{3,4}:{(64,1),(66,1),(76,1),(77,1)}
      73:{1,3,5}:{(66,1),(67,1),(69,1),(77,1)}
      74:{1,2,5}:{(68,1),(69,1),(70,1),(78,1)}
      75:{3,4}:{(68,1),(78,1)}
      76:{2,3}:{(71,1),(72,1),(79,1)}
      77:{1,4}:{(72,1),(73,1),(79,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{1,2}:{(76,1),(77,1)}
      80:{1,3}:{(78,1)}

283 :   0:{1,3,4,6}:{(3,1),(4,1),(6,1),(19,1),(24,1),(151,1),(153,1),(196,1)}
        1:{1,3,5,6}:{(4,1),(6,1),(8,1),(195,1),(196,1)}
        2:{1,4,5,6}:{(6,1),(7,1),(8,1),(22,1),(28,1),(164,1),(166,1),(195,1)}
        3:{1,2,3,6}:{(0,1),(9,1),(10,1),(13,1),(38,1),(70,1),(174,1)}
        4:{1,3,5}:{(0,1),(11,1),(37,1),(176,1)}
        5:{1,2,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(16,1),(30,1),(36,1),(37,1),(38,1),(42,1),(70,1),(79,1),(80,1),(81,1),(89,1),(125,1),(131,1),(140,1),(176,1),(187,1)}
        6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1)}
        7:{1,2,5,6}:{(2,1),(13,1),(15,1),(16,1),(36,1),(89,1),(182,1)}
        8:{3,5,6}:{(2,1),(14,1),(37,1),(187,1)}
        9:{1,2,4,6}:{(3,1),(17,1),(18,1),(19,1),(47,1),(148,1),(150,1),(151,1)}
       10:{1,2,3,5}:{(3,1),(4,1),(18,1),(19,1),(20,1),(49,1),(50,1),(56,1)}
       11:{1,4,5}:{(4,1),(6,1),(19,1),(20,1),(21,1)}
       12:{1,4,6}:{(5,1),(19,1),(22,1),(24,1),(28,1),(108,1),(109,1)}
       13:{1,2,6}:{(6,1),(20,1),(25,1)}
       14:{3,4,6}:{(6,1),(8,1),(21,1),(25,1),(28,1)}
       15:{1,2,4,6}:{(7,1),(26,1),(27,1),(28,1),(63,1),(161,1),(166,1),(168,1)}
       16:{2,3,5,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(56,1),(60,1),(64,1)}
       17:{2,3,4,6}:{(9,1),(29,1),(33,1),(38,1),(66,1),(70,1),(82,1),(121,1),(124,1),(126,1),(132,1)}
       18:{1,2,5}:{(9,1),(29,1),(31,1),(176,1)}
       19:{1,4}:{(10,1),(33,1),(82,1)}
       20:{1,2,5}:{(11,1),(13,1),(32,1),(34,1)}
       21:{3,4,5}:{(11,1),(14,1),(33,1),(34,1),(37,1),(44,1),(82,1)}
       22:{1,4,5}:{(12,1),(36,1),(37,1),(44,1),(82,1),(89,1),(136,1),(176,1)}
       23:{1,2,4,6}:{(12,1),(13,1),(32,1),(36,1),(38,1),(40,1),(82,1),(131,1),(132,1),(133,1)}
       24:{3,4,6}:{(12,1),(33,1),(37,1),(38,1),(70,1),(82,1),(137,1),(187,1)}
       25:{2,3,6}:{(13,1),(14,1),(34,1),(40,1)}
       26:{1,2,4,5}:{(15,1),(36,1),(41,1),(44,1),(82,1),(87,1),(89,1),(133,1),(134,1),(138,1),(142,1)}
       27:{2,3,6}:{(15,1),(41,1),(43,1),(187,1)}
       28:{4,6}:{(16,1),(44,1),(82,1)}
       29:{2,3,5}:{(17,1),(18,1),(46,1),(49,1),(152,1),(158,1)}
       30:{1,2,5,6}:{(18,1),(45,1),(47,1),(147,1),(148,1)}
       31:{1,4,5}:{(18,1),(19,1),(46,1),(47,1),(49,1)}
       32:{1,2,4}:{(19,1),(20,1),(50,1),(52,1)}
       33:{3,4}:{(19,1),(49,1),(50,1)}
       34:{2,3,5}:{(20,1),(21,1),(25,1),(50,1),(52,1),(60,1)}
       35:{1,4,5,6}:{(22,1),(47,1),(54,1),(55,1),(65,1),(91,1),(104,1),(108,1),(118,1),(147,1),(163,1),(166,1),(190,1)}
       36:{1,2,5}:{(22,1),(23,1),(56,1),(60,1),(158,1)}
       37:{3,5}:{(22,1),(24,1)}
       38:{2,3,6}:{(23,1),(24,1),(50,1),(56,1),(159,1)}
       39:{1,3,4,6}:{(24,1),(51,1),(57,1),(58,1),(63,1),(97,1),(104,1),(109,1),(115,1),(151,1),(162,1),(169,1),(203,1)}
       40:{2,4,6}:{(25,1),(28,1),(52,1),(60,1)}
       41:{2,3,5}:{(26,1),(27,1),(62,1),(64,1),(159,1),(165,1)}
       42:{1,2,3,6}:{(27,1),(61,1),(63,1),(168,1),(169,1)}
       43:{3,4,6}:{(27,1),(28,1),(62,1),(63,1),(64,1)}
       44:{4,5}:{(28,1),(60,1),(64,1)}
       45:{2,3,5,6}:{(29,1),(30,1),(66,1),(70,1),(119,1),(120,1),(121,1)}
       46:{4,5}:{(29,1),(66,1),(82,1)}
       47:{1,4,6}:{(30,1),(31,1),(66,1),(70,1)}
       48:{1,2,4,5}:{(31,1),(32,1),(36,1),(67,1),(69,1),(71,1),(75,1),(82,1),(123,1),(127,1),(129,1),(133,1),(136,1),(138,1),(176,1),(181,1),(205,1),(209,1),(224,1)}
       49:{3,5}:{(31,1),(33,1),(70,1)}
       50:{2,3}:{(32,1),(33,1)}
       51:{1,3,4}:{(33,1),(72,1),(73,1),(127,1),(223,1)}
       52:{2,4}:{(34,1),(82,1)}
       53:{3,4,5}:{(37,1),(76,1),(77,1),(78,1),(82,1),(136,1),(137,1),(185,1),(209,1)}
       54:{1,2,5,6}:{(35,1),(36,1),(69,1),(79,1),(85,1),(119,1),(131,1),(176,1),(181,1)}
       55:{3,5,6}:{(35,1),(37,1),(70,1),(76,1),(185,1),(187,1),(204,1)}
       56:{2,3,5}:{(36,1),(37,1),(38,1),(82,1)}
       57:{1,3,5}:{(37,1),(39,1),(78,1),(89,1),(176,1),(185,1),(214,1)}
       58:{1,2,3,6}:{(38,1),(39,1),(73,1),(81,1),(83,1),(131,1),(141,1),(180,1),(187,1)}
       59:{2,3,4,6}:{(38,1),(40,1),(43,1),(74,1),(82,1),(83,1),(84,1),(86,1),(126,1),(130,1),(132,1),(137,1),(139,1),(143,1),(180,1),(187,1),(209,1),(211,1),(226,1)}
       60:{2,5}:{(40,1),(44,1)}
       61:{1,2,3,5}:{(41,1),(42,1),(87,1),(89,1),(141,1),(142,1),(144,1)}
       62:{3,4}:{(41,1),(82,1),(87,1)}
       63:{1,4,6}:{(42,1),(43,1),(87,1),(89,1)}
       64:{3,5}:{(43,1),(44,1),(89,1)}
       65:{4,5,6}:{(44,1),(85,1),(90,1),(139,1),(227,1)}
       66:{4,6}:{(45,1),(46,1)}
       67:{2,4,5}:{(46,1),(92,1),(94,1),(106,1),(158,1),(191,1)}
       68:{3,4,5}:{(46,1),(49,1),(93,1),(94,1),(95,1),(99,1),(152,1),(191,1),(215,1)}
       69:{1,2,4,6}:{(47,1),(48,1),(54,1),(92,1),(96,1),(102,1),(108,1),(148,1),(151,1),(156,1),(166,1),(190,1)}
       70:{3,6}:{(47,1),(49,1)}
       71:{2,3,5}:{(48,1),(49,1),(50,1),(96,1),(99,1),(152,1),(159,1),(165,1),(215,1),(228,1)}
       72:{1,3,5}:{(49,1),(51,1),(95,1),(97,1),(215,1)}
       73:{1,2,3}:{(50,1),(51,1),(100,1),(228,1)}
       74:{2,3,4}:{(50,1),(52,1),(99,1),(100,1),(101,1),(219,1),(228,1)}
       75:{2,4,5}:{(52,1),(60,1),(101,1),(102,1),(110,1),(219,1),(229,1)}
       76:{3,4,6}:{(53,1),(55,1),(103,1),(104,1),(108,1)}
       77:{2,3,5}:{(53,1),(103,1),(105,1),(106,1),(158,1),(159,1)}
       78:{1,4,5}:{(53,1),(57,1),(104,1),(105,1),(109,1)}
       79:{2,3,5,6}:{(54,1),(55,1),(56,1),(96,1),(103,1),(108,1),(152,1),(158,1),(197,1)}
       80:{1,3,5,6}:{(55,1),(57,1),(97,1),(104,1),(118,1),(147,1),(169,1)}
       81:{1,2,3,5}:{(56,1),(57,1),(58,1),(105,1),(109,1),(111,1),(159,1),(165,1),(197,1)}
       82:{4}:{(56,1)}
       83:{1,2,4,6}:{(58,1),(59,1),(63,1),(100,1),(109,1),(111,1),(113,1),(151,1),(156,1),(166,1),(168,1),(203,1)}
       84:{2,3,5}:{(59,1),(60,1),(64,1),(110,1),(111,1),(152,1),(158,1),(165,1),(221,1),(229,1)}
       85:{2,5,6}:{(60,1),(65,1),(102,1),(229,1)}
       86:{2,3,4}:{(62,1),(106,1),(113,1),(114,1),(159,1),(199,1)}
       87:{1,4}:{(61,1),(62,1)}
       88:{3,4,5}:{(62,1),(64,1),(110,1),(114,1),(116,1),(117,1),(165,1),(199,1),(221,1)}
       89:{1,5}:{(63,1),(64,1)}
       90:{3,5,6}:{(64,1),(65,1),(117,1),(118,1),(221,1)}
       91:{4,5,6}:{(66,1),(119,1),(120,1),(136,1),(171,1)}
       92:{2,4,6}:{(66,1),(67,1),(119,1),(121,1),(171,1)}
       93:{3,4,6}:{(66,1),(68,1),(70,1),(120,1),(121,1),(122,1),(171,1),(204,1)}
       94:{2,3,5}:{(67,1),(68,1),(121,1),(123,1),(124,1)}
       95:{1,4,5}:{(68,1),(72,1),(122,1),(123,1),(127,1),(176,1)}
       96:{2,3,6}:{(69,1),(70,1),(71,1),(126,1),(187,1),(204,1)}
       97:{1,3,6}:{(70,1),(72,1),(122,1),(204,1)}
       98:{1,2,3,5}:{(71,1),(72,1),(73,1),(123,1),(125,1),(127,1),(129,1),(174,1),(176,1),(178,1)}
       99:{3,4}:{(71,1),(82,1),(127,1),(209,1)}
      100:{1,2,4}:{(73,1),(74,1),(127,1),(129,1)}
      101:{2,3,5}:{(74,1),(75,1),(128,1),(129,1),(130,1)}
      102:{2,4,6}:{(75,1),(85,1),(130,1),(139,1)}
      103:{2,3,6}:{(76,1),(77,1),(131,1),(132,1)}
      104:{1,4,6}:{(76,1),(78,1),(80,1),(131,1)}
      105:{1,2,5}:{(77,1),(78,1),(131,1),(133,1)}
      106:{2,4}:{(77,1),(82,1),(209,1)}
      107:{1,2,3,5,6}:{(79,1),(80,1),(81,1),(125,1),(131,1),(135,1),(140,1),(170,1),(176,1),(180,1),(181,1),(185,1),(187,1),(189,1),(204,1),(206,1),(208,1),(210,1),(214,1),(225,1)}
      108:{4,6}:{(79,1),(82,1),(136,1),(209,1)}
      109:{1,4}:{(81,1),(82,1),(137,1),(209,1)}
      110:{4,5}:{(82,1),(84,1),(139,1),(209,1)}
      111:{1,2,5}:{(83,1),(84,1),(89,1),(138,1),(176,1),(214,1)}
      112:{2,3,5,6}:{(84,1),(85,1),(90,1),(130,1),(139,1),(140,1),(143,1),(177,1),(182,1),(187,1)}
      113:{1,2,4}:{(86,1),(87,1),(141,1),(142,1),(188,1)}
      114:{2,3,5}:{(86,1),(88,1),(134,1),(142,1),(143,1)}
      115:{1,3,4}:{(87,1),(137,1),(141,1),(144,1),(188,1)}
      116:{1,4,5}:{(87,1),(88,1),(89,1),(142,1),(144,1),(145,1),(188,1),(214,1)}
      117:{3,4,6}:{(88,1),(90,1),(139,1),(143,1),(145,1),(187,1)}
      118:{1,5,6}:{(89,1),(90,1),(145,1),(214,1)}
      119:{2,5,6}:{(91,1),(92,1),(158,1)}
      120:{3,5,6}:{(91,1),(93,1),(147,1),(152,1)}
      121:{2,3,6}:{(92,1),(93,1),(94,1),(148,1)}
      122:{1,4,6}:{(93,1),(95,1),(97,1),(147,1),(148,1)}
      123:{1,2,5}:{(94,1),(95,1),(148,1),(150,1)}
      124:{2,3,4}:{(94,1),(99,1),(106,1),(150,1),(159,1)}
      125:{1,2,3,6}:{(96,1),(97,1),(98,1),(148,1),(151,1),(156,1),(196,1)}
      126:{3,4,6}:{(96,1),(99,1),(108,1),(151,1),(152,1)}
      127:{1,4}:{(98,1),(99,1)}
      128:{3,4,5}:{(99,1),(101,1),(110,1),(152,1),(154,1),(155,1),(165,1)}
      129:{1,2,5}:{(100,1),(101,1),(154,1),(156,1)}
      130:{2,3,6}:{(101,1),(102,1),(155,1),(156,1)}
      131:{1,2,6}:{(103,1),(104,1),(105,1)}
      132:{2,4,6}:{(103,1),(106,1),(108,1),(158,1)}
      133:{1,2,4}:{(105,1),(106,1),(109,1),(159,1)}
      134:{2,4,5}:{(106,1),(110,1),(114,1),(158,1),(161,1)}
      135:{1,4,6}:{(107,1),(108,1),(109,1),(162,1),(163,1),(216,1),(220,1)}
      136:{4,5}:{(108,1),(152,1),(158,1)}
      137:{3,4}:{(109,1),(159,1),(165,1)}
      138:{1,4,5}:{(109,1),(110,1),(111,1),(165,1),(166,1)}
      139:{4,6}:{(110,1),(112,1)}
      140:{1,2,5,6}:{(111,1),(112,1),(118,1),(156,1),(166,1),(168,1),(195,1)}
      141:{1,2,3}:{(113,1),(115,1),(159,1)}
      142:{1,2,5}:{(113,1),(114,1),(116,1),(168,1)}
      143:{2,3,6}:{(114,1),(117,1),(161,1),(168,1)}
      144:{1,3,5}:{(115,1),(116,1),(165,1),(169,1)}
      145:{1,4,6}:{(116,1),(117,1),(118,1),(168,1),(169,1)}
      146:{2,3,5,6}:{(119,1),(120,1),(121,1),(170,1),(171,1),(173,1),(204,1)}
      147:{1,5,6}:{(120,1),(122,1),(176,1)}
      148:{1,2,6}:{(121,1),(122,1),(123,1)}
      149:{2,3,4,6}:{(121,1),(124,1),(126,1),(132,1),(171,1),(172,1),(173,1),(180,1),(204,1),(209,1),(223,1)}
      150:{1,2,4}:{(123,1),(124,1),(127,1),(174,1)}
      151:{1,4,6}:{(125,1),(126,1),(127,1),(176,1)}
      152:{3,5}:{(126,1),(136,1),(176,1)}
      153:{1,3,4}:{(127,1),(137,1),(174,1),(178,1)}
      154:{1,4,5}:{(127,1),(128,1),(129,1),(176,1),(178,1),(179,1)}
      155:{3,4,6}:{(128,1),(130,1),(139,1),(177,1),(179,1),(187,1)}
      156:{1,2,6}:{(129,1),(130,1),(179,1)}
      157:{1,2,4,6}:{(131,1),(132,1),(133,1),(135,1),(180,1),(181,1),(209,1),(224,1),(225,1),(226,1)}
      158:{2,5}:{(132,1),(136,1)}
      159:{2,3}:{(133,1),(137,1)}
      160:{1,2,4,5}:{(133,1),(134,1),(138,1),(142,1),(181,1),(183,1),(184,1),(188,1),(209,1),(214,1),(227,1)}
      161:{2,4,6}:{(134,1),(139,1),(143,1),(182,1)}
      162:{3,4,6}:{(135,1),(137,1),(180,1),(185,1),(187,1),(204,1),(209,1),(223,1)}
      163:{1,4,5}:{(135,1),(136,1),(176,1),(181,1),(185,1),(209,1),(214,1),(227,1)}
      164:{4,5,6}:{(136,1),(139,1),(177,1),(182,1)}
      165:{3,5}:{(137,1),(138,1),(187,1)}
      166:{1,4,6}:{(138,1),(139,1),(140,1),(187,1)}
      167:{1,2,3,5}:{(141,1),(142,1),(144,1),(183,1),(188,1),(189,1),(214,1)}
      168:{1,2,6}:{(142,1),(143,1),(145,1)}
      169:{1,3,6}:{(144,1),(145,1),(187,1)}
      170:{1,2,5,6}:{(146,1),(147,1),(148,1),(190,1),(193,1)}
      171:{4,6}:{(146,1),(191,1)}
      172:{1,2,4,6}:{(148,1),(149,1),(150,1),(151,1),(190,1),(192,1),(193,1),(216,1)}
      173:{2,3,5}:{(149,1),(152,1),(158,1),(191,1),(193,1),(215,1)}
      174:{1,2,3}:{(150,1),(153,1),(159,1)}
      175:{1,3,4,6}:{(151,1),(153,1),(162,1),(192,1),(194,1),(196,1),(216,1),(218,1)}
      176:{1,5}:{(151,1),(152,1)}
      177:{3,5,6}:{(152,1),(155,1),(164,1),(195,1)}
      178:{1,3,5}:{(153,1),(154,1),(165,1),(196,1)}
      179:{1,4,6}:{(154,1),(155,1),(156,1),(195,1),(196,1)}
      180:{2,3,6}:{(157,1),(159,1),(162,1),(197,1),(228,1)}
      181:{1,2,5}:{(157,1),(158,1),(163,1),(197,1),(229,1)}
      182:{2,5,6}:{(158,1),(161,1),(164,1)}
      183:{2,3,5}:{(159,1),(160,1),(165,1),(199,1),(200,1),(221,1)}
      184:{1,2,4,6}:{(160,1),(161,1),(166,1),(168,1),(198,1),(200,1),(203,1),(220,1)}
      185:{3,5}:{(162,1),(163,1)}
      186:{1,4,5,6}:{(163,1),(164,1),(166,1),(195,1),(198,1),(202,1),(218,1),(220,1)}
      187:{3,6}:{(165,1),(166,1)}
      188:{1,4}:{(167,1),(199,1)}
      189:{1,2,3,6}:{(167,1),(168,1),(169,1),(200,1),(203,1)}
      190:{1,4,6}:{(170,1),(171,1),(204,1),(205,1)}
      191:{4,5}:{(171,1),(173,1),(209,1)}
      192:{1,2,3,6}:{(172,1),(174,1),(175,1),(180,1),(204,1),(206,1),(225,1)}
      193:{1,2,5}:{(172,1),(173,1),(176,1),(205,1)}
      194:{1,3,5}:{(175,1),(176,1),(185,1),(207,1)}
      195:{1,5,6}:{(176,1),(177,1),(179,1)}
      196:{1,3,6}:{(178,1),(179,1),(187,1)}
      197:{2,3,5}:{(180,1),(181,1),(185,1),(209,1)}
      198:{1,2,5,6}:{(181,1),(182,1),(184,1),(186,1),(210,1),(214,1),(225,1)}
      199:{3,4}:{(183,1),(188,1),(209,1)}
      200:{2,3,6}:{(183,1),(184,1),(187,1),(211,1)}
      201:{3,4,5}:{(185,1),(207,1),(209,1),(212,1),(213,1),(223,1),(227,1)}
      202:{3,5,6}:{(185,1),(186,1),(187,1),(213,1)}
      203:{1,4,6}:{(188,1),(189,1),(211,1),(214,1)}
      204:{3,6}:{(190,1),(215,1)}
      205:{1,4,5}:{(190,1),(191,1),(193,1),(215,1),(216,1)}
      206:{1,2,3,5}:{(192,1),(193,1),(194,1),(197,1),(215,1),(216,1),(217,1),(228,1)}
      207:{1,4,5}:{(194,1),(201,1),(216,1),(217,1),(218,1)}
      208:{1,3,5,6}:{(194,1),(195,1),(196,1),(202,1),(218,1)}
      209:{4}:{(197,1)}
      210:{2,3,5,6}:{(197,1),(198,1),(200,1),(202,1),(220,1),(221,1),(222,1),(229,1)}
      211:{3,4,6}:{(199,1),(200,1),(203,1),(220,1),(221,1)}
      212:{2,3,5}:{(201,1),(217,1),(219,1),(222,1),(228,1),(229,1)}
      213:{3,4,6}:{(201,1),(202,1),(218,1),(220,1),(222,1)}
      214:{1,5}:{(203,1),(221,1)}
      215:{3,5}:{(204,1),(205,1),(223,1)}
      216:{1,4}:{(206,1),(209,1),(223,1)}
      217:{1,2,5}:{(207,1),(212,1),(224,1),(225,1)}
      218:{1,4,6}:{(207,1),(208,1),(213,1),(225,1)}
      219:{2,4}:{(209,1),(212,1)}
      220:{4,6}:{(209,1),(210,1),(227,1)}
      221:{3,5}:{(211,1),(214,1),(227,1)}
      222:{2,3,6}:{(212,1),(213,1),(225,1),(226,1)}
      223:{3,4}:{(215,1),(216,1),(228,1)}
      224:{1,2,4}:{(216,1),(217,1),(219,1),(228,1)}
      225:{1,2,6}:{(217,1),(218,1),(222,1)}
      226:{2,4,6}:{(219,1),(220,1),(222,1),(229,1)}
      227:{4,5}:{(220,1),(221,1),(229,1)}
      228:{2,3}:{(223,1),(224,1)}
      229:{2,5}:{(226,1),(227,1)}

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

285 :   0:{1,2,4,5}:{(2,1),(3,1),(15,1),(30,1),(36,1),(42,1),(44,1),(76,1),(84,1),(130,1),(135,1)}
        1:{1,4,5,6}:{(4,1),(5,1),(22,1),(24,1),(63,1),(90,1),(103,1),(140,1)}
        2:{1,2,4,6}:{(0,1),(4,1),(6,1),(24,1),(25,1),(49,1),(58,1),(103,1)}
        3:{2,3,5}:{(0,1),(6,1),(8,1),(26,1),(102,1),(153,1)}
        4:{1,2,5,6}:{(1,1),(2,1),(11,1),(39,1),(44,1),(68,1),(84,1)}
        5:{3,5,6}:{(1,1),(10,1),(86,1),(129,1)}
        6:{2,3,6}:{(2,1),(3,1),(14,1),(129,1)}
        7:{1,2,3,5}:{(3,1),(13,1),(15,1),(35,1),(36,1),(44,1),(46,1)}
        8:{3,4}:{(3,1),(15,1),(135,1)}
        9:{2,3,4}:{(8,1),(19,1),(20,1),(92,1),(153,1),(159,1)}
       10:{3,4,6}:{(5,1),(17,1),(21,1),(22,1),(24,1)}
       11:{2,3,5,6}:{(4,1),(5,1),(6,1),(21,1),(24,1),(26,1),(61,1),(109,1)}
       12:{1,3,5,6}:{(5,1),(22,1),(50,1),(140,1),(148,1)}
       13:{1,2,3,6}:{(6,1),(7,1),(25,1),(58,1),(67,1)}
       14:{3,4,6}:{(6,1),(8,1),(24,1),(25,1),(26,1)}
       15:{1,4}:{(7,1),(8,1)}
       16:{3,4,5}:{(8,1),(20,1),(26,1),(28,1),(29,1),(53,1),(92,1),(102,1),(143,1)}
       17:{3,4,5}:{(10,1),(31,1),(32,1),(42,1),(86,1),(124,1),(135,1)}
       18:{2,3,4,6}:{(9,1),(14,1),(33,1),(34,1),(37,1),(40,1),(71,1),(77,1),(83,1),(118,1),(121,1),(128,1),(129,1),(135,1),(164,1),(174,1),(175,1),(180,1),(211,1)}
       19:{1,2,4}:{(9,1),(15,1),(35,1),(36,1),(80,1)}
       20:{2,3,5}:{(9,1),(16,1),(30,1),(36,1),(37,1)}
       21:{2,3,6}:{(10,1),(31,1),(39,1),(40,1)}
       22:{1,4,6}:{(10,1),(12,1),(32,1),(39,1)}
       23:{1,2,3,5,6}:{(11,1),(12,1),(13,1),(39,1),(41,1),(44,1),(73,1),(78,1),(79,1),(83,1),(84,1),(86,1),(89,1),(129,1),(134,1),(136,1),(139,1),(168,1),(172,1),(206,1)}
       24:{4,6}:{(11,1),(42,1),(135,1)}
       25:{1,4,6}:{(13,1),(14,1),(15,1),(44,1)}
       26:{3,5}:{(14,1),(42,1),(44,1)}
       27:{1,3,4}:{(15,1),(35,1),(46,1),(80,1),(128,1)}
       28:{1,4,5}:{(15,1),(16,1),(36,1),(44,1),(46,1),(47,1),(80,1),(132,1)}
       29:{3,4,6}:{(16,1),(37,1),(45,1),(47,1),(77,1),(129,1)}
       30:{2,4,5}:{(20,1),(49,1),(53,1),(159,1),(199,1)}
       31:{2,3,5}:{(17,1),(21,1),(51,1),(52,1),(61,1),(99,1)}
       32:{1,4,5}:{(17,1),(22,1),(50,1),(51,1),(98,1)}
       33:{1,2,4,6}:{(18,1),(19,1),(25,1),(54,1),(55,1),(58,1),(94,1),(103,1),(104,1),(106,1),(146,1),(189,1)}
       34:{2,3,5}:{(18,1),(26,1),(53,1),(55,1),(61,1),(102,1),(143,1),(185,1),(195,1),(199,1)}
       35:{1,2,3}:{(19,1),(27,1),(153,1)}
       36:{1,2,5}:{(19,1),(20,1),(28,1),(58,1)}
       37:{2,3,6}:{(20,1),(29,1),(49,1),(58,1)}
       38:{1,3,4,6}:{(22,1),(50,1),(59,1),(62,1),(98,1),(147,1),(148,1),(189,1)}
       39:{1,2,6}:{(21,1),(22,1),(51,1)}
       40:{2,4,6}:{(21,1),(24,1),(52,1),(61,1)}
       41:{1,4,6}:{(23,1),(24,1),(62,1),(63,1),(98,1),(104,1),(160,1)}
       42:{4,5}:{(24,1),(26,1),(61,1)}
       43:{1,3,4,6}:{(25,1),(27,1),(54,1),(62,1),(65,1),(67,1),(104,1),(106,1),(114,1),(144,1),(154,1),(187,1),(189,1)}
       44:{1,5}:{(25,1),(26,1)}
       45:{3,5,6}:{(26,1),(29,1),(64,1),(66,1),(143,1)}
       46:{1,3,5}:{(27,1),(28,1),(67,1),(102,1)}
       47:{1,4,6}:{(28,1),(29,1),(58,1),(66,1),(67,1)}
       48:{1,2,4,5}:{(30,1),(36,1),(69,1),(70,1),(76,1),(80,1),(130,1),(132,1),(165,1),(177,1),(211,1)}
       49:{2,4,6}:{(30,1),(37,1),(68,1),(77,1)}
       50:{1,3,5}:{(32,1),(38,1),(86,1),(206,1)}
       51:{1,2,5}:{(31,1),(32,1),(39,1),(74,1)}
       52:{2,4}:{(31,1),(135,1)}
       53:{4,5}:{(34,1),(77,1),(135,1),(211,1)}
       54:{1,2,3,6}:{(33,1),(35,1),(43,1),(78,1),(83,1),(119,1),(129,1),(139,1),(175,1)}
       55:{1,2,5}:{(33,1),(34,1),(44,1),(76,1),(132,1),(206,1)}
       56:{2,3,5,6}:{(34,1),(37,1),(45,1),(68,1),(77,1),(79,1),(85,1),(115,1),(121,1),(129,1)}
       57:{1,2,3,5}:{(35,1),(36,1),(46,1),(69,1),(80,1),(81,1),(132,1)}
       58:{1,2,6}:{(36,1),(37,1),(47,1)}
       59:{1,2,3,6}:{(38,1),(39,1),(73,1),(82,1),(83,1),(169,1),(172,1)}
       60:{1,2,4,6}:{(39,1),(40,1),(41,1),(74,1),(83,1),(84,1),(130,1),(135,1),(139,1),(180,1)}
       61:{2,5}:{(40,1),(42,1)}
       62:{3,4,6}:{(41,1),(83,1),(86,1),(124,1),(128,1),(129,1),(135,1),(172,1)}
       63:{1,4,5}:{(41,1),(42,1),(44,1),(84,1),(86,1),(135,1),(181,1),(206,1)}
       64:{4,5,6}:{(42,1),(45,1),(77,1),(85,1),(165,1)}
       65:{1,3,5}:{(43,1),(44,1),(86,1),(88,1),(132,1),(176,1),(206,1)}
       66:{1,5,6}:{(44,1),(45,1),(47,1),(132,1)}
       67:{1,3,6}:{(46,1),(47,1),(129,1)}
       68:{2,5,6}:{(49,1),(90,1),(199,1)}
       69:{2,3,5}:{(48,1),(92,1),(93,1),(102,1),(143,1),(153,1)}
       70:{1,2,4,6}:{(48,1),(49,1),(58,1),(91,1),(93,1),(103,1),(106,1),(142,1)}
       71:{2,3,4}:{(52,1),(94,1),(95,1),(99,1),(151,1),(214,1),(226,1)}
       72:{3,4,5}:{(53,1),(95,1),(96,1),(97,1),(102,1),(151,1),(195,1)}
       73:{1,2,3,5}:{(50,1),(51,1),(59,1),(98,1),(99,1),(108,1),(109,1),(149,1)}
       74:{1,2,4}:{(51,1),(52,1),(98,1),(99,1)}
       75:{2,4,5}:{(52,1),(53,1),(61,1),(95,1),(101,1),(185,1),(214,1)}
       76:{1,4,5}:{(53,1),(55,1),(102,1),(103,1),(104,1)}
       77:{4,6}:{(53,1),(56,1)}
       78:{1,2,3,5}:{(54,1),(55,1),(65,1),(102,1),(104,1),(109,1),(113,1),(153,1),(196,1)}
       79:{1,2,5,6}:{(55,1),(56,1),(58,1),(66,1),(103,1),(140,1),(146,1)}
       80:{1,4}:{(57,1),(92,1)}
       81:{1,2,3,6}:{(57,1),(58,1),(67,1),(93,1),(106,1)}
       82:{1,2,4,6}:{(59,1),(98,1),(107,1),(108,1),(150,1),(188,1),(189,1),(215,1)}
       83:{2,3,6}:{(60,1),(62,1),(99,1),(109,1),(153,1)}
       84:{1,2,5}:{(60,1),(61,1),(63,1),(109,1),(199,1)}
       85:{2,5,6}:{(61,1),(64,1),(101,1),(185,1)}
       86:{3,5}:{(62,1),(63,1)}
       87:{1,4,5,6}:{(63,1),(64,1),(66,1),(103,1),(110,1),(112,1),(114,1),(150,1),(156,1),(160,1),(198,1),(216,1),(227,1)}
       88:{1,4,5}:{(65,1),(104,1),(111,1),(113,1),(114,1)}
       89:{1,3,5,6}:{(65,1),(66,1),(67,1),(112,1),(114,1),(187,1),(216,1)}
       90:{4,5,6}:{(68,1),(77,1),(115,1),(181,1)}
       91:{1,2,5,6}:{(68,1),(70,1),(116,1),(117,1),(132,1),(177,1),(200,1)}
       92:{3,4}:{(69,1),(80,1),(211,1)}
       93:{2,3,6}:{(69,1),(70,1),(118,1),(129,1)}
       94:{1,2,4}:{(71,1),(119,1),(120,1),(167,1)}
       95:{2,3,5}:{(71,1),(72,1),(75,1),(120,1),(121,1)}
       96:{1,4,5}:{(72,1),(120,1),(122,1),(123,1),(167,1),(206,1)}
       97:{3,4,6}:{(72,1),(77,1),(115,1),(121,1),(123,1),(129,1)}
       98:{1,4}:{(73,1),(124,1),(135,1)}
       99:{2,3}:{(74,1),(124,1)}
      100:{1,2,4,5}:{(74,1),(75,1),(76,1),(84,1),(120,1),(125,1),(126,1),(127,1),(130,1),(135,1),(167,1),(177,1),(178,1),(181,1),(203,1),(206,1),(211,1),(221,1),(223,1)}
      101:{2,4,6}:{(75,1),(77,1),(85,1),(121,1)}
      102:{3,5}:{(76,1),(128,1),(129,1)}
      103:{1,4,6}:{(76,1),(77,1),(79,1),(129,1)}
      104:{1,4}:{(78,1),(128,1),(135,1),(211,1)}
      105:{1,2,3,5,6}:{(78,1),(79,1),(81,1),(89,1),(117,1),(129,1),(131,1),(132,1),(136,1),(139,1),(162,1),(168,1),(175,1),(176,1),(177,1),(200,1),(206,1),(207,1),(222,1),(229,1)}
      106:{1,4,6}:{(80,1),(81,1),(118,1),(132,1)}
      107:{2,3,4,6}:{(82,1),(83,1),(124,1),(133,1),(135,1),(172,1),(173,1),(174,1),(179,1),(180,1),(208,1)}
      108:{1,2,5}:{(82,1),(125,1),(133,1),(206,1)}
      109:{2,3,5}:{(83,1),(84,1),(86,1),(135,1)}
      110:{1,2,5,6}:{(84,1),(85,1),(87,1),(127,1),(136,1),(139,1),(177,1),(206,1),(212,1)}
      111:{3,4,5}:{(86,1),(88,1),(128,1),(135,1),(137,1),(138,1),(176,1),(181,1),(211,1)}
      112:{3,5,6}:{(86,1),(87,1),(129,1),(138,1),(172,1),(176,1),(229,1)}
      113:{1,2,5}:{(88,1),(130,1),(137,1),(139,1)}
      114:{1,4,6}:{(88,1),(89,1),(138,1),(139,1)}
      115:{3,5,6}:{(90,1),(97,1),(140,1),(195,1)}
      116:{1,4,5,6}:{(90,1),(91,1),(103,1),(140,1),(141,1),(142,1),(156,1),(182,1)}
      117:{2,3,5,6}:{(91,1),(93,1),(141,1),(142,1),(143,1),(183,1),(185,1),(196,1)}
      118:{3,4,6}:{(92,1),(93,1),(106,1),(142,1),(143,1)}
      119:{1,2,3}:{(94,1),(99,1),(144,1),(226,1)}
      120:{1,2,5}:{(94,1),(95,1),(96,1),(146,1)}
      121:{2,3,6}:{(95,1),(97,1),(101,1),(146,1)}
      122:{1,3,5}:{(96,1),(102,1),(147,1),(148,1)}
      123:{1,4,6}:{(96,1),(97,1),(140,1),(146,1),(148,1)}
      124:{3,4}:{(98,1),(99,1),(149,1)}
      125:{1,4,5}:{(98,1),(108,1),(149,1),(150,1),(157,1)}
      126:{2,3,5}:{(99,1),(100,1),(102,1),(149,1),(151,1),(152,1),(153,1),(195,1),(226,1),(228,1)}
      127:{1,2,4,6}:{(100,1),(101,1),(103,1),(110,1),(146,1),(150,1),(152,1),(160,1),(189,1),(197,1),(215,1),(227,1)}
      128:{3,4}:{(102,1),(104,1),(153,1)}
      129:{3,6}:{(102,1),(103,1)}
      130:{1,2,4}:{(104,1),(113,1),(153,1),(159,1)}
      131:{1,4,6}:{(104,1),(105,1),(142,1),(154,1),(156,1),(160,1),(218,1)}
      132:{1,5}:{(106,1),(143,1)}
      133:{2,3,5}:{(107,1),(108,1),(149,1),(157,1),(195,1),(199,1)}
      134:{1,2,5,6}:{(108,1),(150,1),(158,1),(215,1),(216,1)}
      135:{4}:{(109,1)}
      136:{2,3,5,6}:{(109,1),(110,1),(112,1),(152,1),(160,1),(161,1),(195,1),(196,1),(199,1)}
      137:{2,3,5}:{(111,1),(113,1),(153,1),(159,1),(161,1),(199,1)}
      138:{3,4,6}:{(111,1),(112,1),(114,1),(160,1),(161,1)}
      139:{1,2,6}:{(113,1),(114,1),(161,1)}
      140:{1,5,6}:{(115,1),(123,1),(206,1)}
      141:{3,5,6}:{(116,1),(129,1),(163,1),(176,1)}
      142:{4,6}:{(117,1),(165,1),(211,1)}
      143:{3,5}:{(118,1),(132,1),(165,1)}
      144:{1,3,4}:{(119,1),(124,1),(166,1),(167,1),(224,1)}
      145:{1,2,3,5}:{(119,1),(120,1),(122,1),(126,1),(166,1),(167,1),(168,1),(169,1),(203,1),(206,1)}
      146:{1,2,6}:{(120,1),(121,1),(123,1)}
      147:{1,3,4}:{(122,1),(128,1),(167,1),(169,1)}
      148:{1,3,6}:{(122,1),(123,1),(129,1)}
      149:{3,5}:{(124,1),(125,1),(172,1)}
      150:{1,4,6}:{(125,1),(134,1),(172,1),(179,1)}
      151:{3,4}:{(126,1),(135,1),(167,1),(211,1)}
      152:{2,3,6}:{(126,1),(127,1),(129,1),(172,1),(174,1),(229,1)}
      153:{2,3}:{(128,1),(130,1)}
      154:{3,4,6}:{(128,1),(129,1),(131,1),(175,1),(176,1),(211,1),(224,1),(229,1)}
      155:{1,2,4,6}:{(130,1),(131,1),(139,1),(164,1),(175,1),(177,1),(180,1),(200,1),(211,1),(221,1)}
      156:{1,4,5}:{(131,1),(132,1),(165,1),(176,1),(177,1),(181,1),(206,1),(211,1)}
      157:{4,5}:{(133,1),(135,1),(179,1)}
      158:{2,3,5,6}:{(133,1),(134,1),(172,1),(179,1),(208,1),(209,1),(212,1)}
      159:{2,4}:{(135,1),(137,1),(211,1)}
      160:{4,6}:{(135,1),(136,1),(181,1),(211,1)}
      161:{2,3,6}:{(137,1),(138,1),(139,1),(180,1)}
      162:{1,3,5,6}:{(140,1),(141,1),(148,1),(182,1),(191,1)}
      163:{3,4,6}:{(141,1),(142,1),(182,1),(183,1),(184,1)}
      164:{2,4,6}:{(142,1),(183,1),(185,1),(214,1)}
      165:{4,5}:{(142,1),(143,1),(185,1)}
      166:{1,3,5}:{(144,1),(149,1),(186,1),(187,1),(228,1)}
      167:{1,4}:{(145,1),(151,1)}
      168:{1,2,3,6}:{(145,1),(146,1),(148,1),(152,1),(187,1),(189,1),(215,1)}
      169:{1,2,3}:{(147,1),(153,1),(188,1)}
      170:{1,3,4,6}:{(147,1),(148,1),(154,1),(182,1),(189,1),(190,1),(191,1),(218,1)}
      171:{3,4,5}:{(149,1),(151,1),(157,1),(186,1),(192,1),(193,1),(195,1),(220,1),(228,1)}
      172:{3,6}:{(149,1),(150,1)}
      173:{2,3,4}:{(151,1),(153,1),(159,1),(188,1),(192,1)}
      174:{3,4,6}:{(151,1),(152,1),(160,1),(189,1),(195,1)}
      175:{2,3,6}:{(153,1),(154,1),(155,1),(196,1),(226,1)}
      176:{3,5}:{(154,1),(156,1)}
      177:{1,2,5}:{(155,1),(156,1),(185,1),(196,1),(199,1)}
      178:{2,4,5}:{(157,1),(159,1),(192,1),(197,1),(199,1),(220,1)}
      179:{4,6}:{(157,1),(158,1)}
      180:{2,4,6}:{(159,1),(160,1),(161,1),(199,1)}
      181:{4,5}:{(160,1),(195,1),(199,1)}
      182:{1,4,6}:{(162,1),(163,1),(200,1),(201,1)}
      183:{2,3,6}:{(163,1),(164,1),(200,1),(202,1)}
      184:{3,4,5}:{(163,1),(165,1),(176,1),(201,1),(202,1),(211,1),(224,1)}
      185:{2,5}:{(164,1),(165,1)}
      186:{1,4,5}:{(166,1),(167,1),(171,1),(203,1),(204,1),(206,1)}
      187:{1,3,6}:{(166,1),(172,1),(204,1),(229,1)}
      188:{1,2,4}:{(167,1),(169,1),(173,1),(203,1)}
      189:{1,4,6}:{(167,1),(168,1),(174,1),(206,1)}
      190:{1,2,3,6}:{(169,1),(170,1),(175,1),(200,1),(205,1),(207,1),(229,1)}
      191:{1,3,5}:{(170,1),(176,1),(201,1),(206,1)}
      192:{2,3,5}:{(171,1),(173,1),(178,1),(203,1),(208,1)}
      193:{3,4,6}:{(171,1),(172,1),(179,1),(204,1),(208,1),(209,1),(225,1),(229,1)}
      194:{2,3,4,6}:{(173,1),(174,1),(175,1),(180,1),(205,1),(208,1),(210,1),(211,1),(224,1),(225,1),(229,1)}
      195:{3,5}:{(174,1),(181,1),(206,1)}
      196:{2,3,5}:{(175,1),(176,1),(177,1),(211,1)}
      197:{2,4,6}:{(178,1),(179,1),(208,1),(212,1),(225,1)}
      198:{4,5,6}:{(179,1),(181,1),(209,1),(212,1),(225,1)}
      199:{2,5}:{(180,1),(181,1)}
      200:{1,2,6}:{(182,1),(183,1),(213,1)}
      201:{1,4,5}:{(182,1),(184,1),(191,1),(213,1),(218,1)}
      202:{2,3,5}:{(183,1),(184,1),(185,1),(213,1),(214,1),(226,1)}
      203:{1,2,5}:{(186,1),(188,1),(192,1),(215,1)}
      204:{1,4,6}:{(186,1),(187,1),(193,1),(215,1),(216,1)}
      205:{1,2,4,6}:{(188,1),(189,1),(190,1),(194,1),(215,1),(217,1),(218,1),(227,1)}
      206:{1,5}:{(189,1),(195,1)}
      207:{1,2,3,5}:{(190,1),(191,1),(196,1),(213,1),(217,1),(218,1),(226,1),(228,1)}
      208:{2,3,6}:{(192,1),(193,1),(197,1),(215,1)}
      209:{3,5,6}:{(193,1),(195,1),(198,1),(216,1)}
      210:{2,3,5}:{(194,1),(195,1),(199,1),(217,1),(220,1),(228,1)}
      211:{4}:{(196,1)}
      212:{2,5,6}:{(197,1),(198,1),(199,1)}
      213:{1,2,5}:{(200,1),(201,1),(202,1),(221,1)}
      214:{2,4}:{(202,1),(211,1)}
      215:{1,2,6}:{(203,1),(204,1),(208,1)}
      216:{1,5,6}:{(204,1),(206,1),(209,1)}
      217:{1,2,5}:{(205,1),(206,1),(210,1),(223,1)}
      218:{1,4}:{(207,1),(211,1),(224,1)}
      219:{2,3,5,6}:{(208,1),(209,1),(210,1),(212,1),(222,1),(225,1),(229,1)}
      220:{4,5}:{(210,1),(211,1),(225,1)}
      221:{1,2,4}:{(213,1),(214,1),(218,1),(226,1)}
      222:{1,2,5,6}:{(215,1),(216,1),(217,1),(219,1),(227,1)}
      223:{1,4,5}:{(217,1),(218,1),(220,1),(227,1),(228,1)}
      224:{3,4}:{(218,1),(226,1),(228,1)}
      225:{4,6}:{(219,1),(220,1)}
      226:{2,3}:{(221,1),(224,1)}
      227:{1,4,6}:{(222,1),(223,1),(225,1),(229,1)}
      228:{3,5}:{(223,1),(224,1),(229,1)}
      229:{3,6}:{(227,1),(228,1)}

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

287 :  0:{3,4,5,6}:{(1,1),(2,1),(21,1),(25,1)}
       1:{2,3,5,6}:{(0,1),(4,1),(5,1),(14,1),(16,1)}
       2:{1,4,5,6}:{(0,1),(3,1),(4,1),(15,1),(32,1),(75,1)}
       3:{1,3,5,6}:{(2,1),(6,1),(44,1),(78,1)}
       4:{1,2,5,6}:{(1,1),(2,1),(9,1),(23,1),(79,1)}
       5:{2,4,6}:{(1,1),(10,1)}
       6:{1,3,4,6}:{(3,1),(11,1),(12,1),(15,1),(57,1),(73,1)}
       7:{2,3,4,6}:{(5,1),(13,1),(14,1),(16,1),(33,1),(38,1)}
       8:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(15,1),(16,1),(30,1),(34,1),(36,1),(54,1),(56,1),(76,1)}
       9:{1,2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(74,1),(76,1)}
      10:{2,4,5}:{(5,1),(14,1)}
      11:{1,3,4,5}:{(6,1),(19,1),(26,1),(63,1)}
      12:{1,2,3,6}:{(6,1),(19,1),(20,1),(64,1),(69,1)}
      13:{1,2,4,6}:{(7,1),(22,1),(23,1),(45,1),(46,1)}
      14:{2,3,5}:{(7,1),(10,1),(21,1),(23,1)}
      15:{1,4,6}:{(8,1),(25,1),(26,1),(46,1),(66,1)}
      16:{2,3,6}:{(9,1),(25,1),(27,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(23,1),(26,1),(27,1),(46,1),(65,1),(67,1)}
      18:{2,4,5,6}:{(10,1),(24,1)}
      19:{1,2,3,5}:{(11,1),(12,1),(28,1),(30,1),(51,1)}
      20:{1,2,4,6}:{(12,1),(15,1),(28,1),(29,1),(30,1),(59,1),(76,1)}
      21:{3,4,5}:{(14,1),(32,1),(33,1),(38,1)}
      22:{1,2,3,6}:{(13,1),(16,1),(31,1),(34,1),(58,1),(76,1)}
      23:{1,2,5}:{(13,1),(14,1),(32,1)}
      24:{2,3,5,6}:{(14,1),(18,1),(33,1),(35,1)}
      25:{3,4,6}:{(15,1),(16,1),(36,1),(38,1)}
      26:{1,4,5}:{(15,1),(30,1),(36,1),(53,1)}
      27:{2,3,5}:{(16,1),(17,1),(36,1),(38,1)}
      28:{1,2,4}:{(19,1),(39,1)}
      29:{2,3,4,6}:{(20,1),(25,1),(39,1),(41,1),(49,1),(64,1),(66,1),(70,1)}
      30:{1,2,5}:{(20,1),(26,1),(41,1)}
      31:{1,3,4,6}:{(22,1),(25,1),(43,1),(46,1),(68,1)}
      32:{1,4,5}:{(21,1),(23,1),(44,1),(45,1),(46,1)}
      33:{3,4,6}:{(21,1),(24,1),(45,1)}
      34:{1,2,3,5}:{(22,1),(23,1),(27,1),(43,1),(44,1),(46,1),(67,1),(69,1)}
      35:{1,2,5,6}:{(23,1),(24,1),(45,1)}
      36:{3,5}:{(25,1),(26,1)}
      37:{1,4,5,6}:{(26,1),(42,1),(48,1),(66,1),(68,1)}
      38:{3,4}:{(27,1),(46,1)}
      39:{2,3,4}:{(28,1),(51,1)}
      40:{1,2,4,5}:{(28,1),(30,1),(51,1),(52,1),(53,1),(71,1)}
      41:{2,3,5}:{(29,1),(30,1),(36,1),(53,1)}
      42:{1,2,5,6}:{(30,1),(37,1),(52,1),(54,1),(76,1),(80,1)}
      43:{1,3,5}:{(31,1),(36,1),(55,1)}
      44:{1,3,5}:{(32,1),(57,1),(58,1)}
      45:{1,4,6}:{(32,1),(33,1),(35,1),(58,1)}
      46:{1,4}:{(34,1),(38,1)}
      47:{3,4,5}:{(36,1),(38,1),(53,1),(55,1),(60,1),(61,1)}
      48:{3,5,6}:{(36,1),(37,1),(61,1)}
      49:{2,3,4}:{(38,1),(59,1),(60,1)}
      50:{1,2,3,4}:{(39,1),(62,1)}
      51:{2,3,5}:{(39,1),(40,1),(63,1),(64,1)}
      52:{1,2,4,6}:{(40,1),(42,1),(64,1),(66,1),(77,1)}
      53:{4,5}:{(41,1),(66,1)}
      54:{2,3,5,6}:{(41,1),(42,1),(48,1),(64,1),(66,1),(70,1),(78,1),(79,1)}
      55:{1,4,5}:{(43,1),(46,1),(47,1),(67,1),(68,1)}
      56:{1,3,5,6}:{(43,1),(48,1),(68,1)}
      57:{1,3,4}:{(44,1),(46,1),(69,1)}
      58:{1,3,6}:{(44,1),(45,1)}
      59:{1,2,4}:{(46,1),(49,1),(67,1),(69,1)}
      60:{2,3,5}:{(47,1),(49,1),(65,1),(67,1),(70,1)}
      61:{3,4,6}:{(47,1),(48,1),(66,1),(68,1),(70,1)}
      62:{1,2,3,5}:{(50,1),(51,1),(71,1),(72,1)}
      63:{3,4,5}:{(51,1),(53,1),(71,1),(73,1)}
      64:{2,3,6}:{(51,1),(52,1),(73,1)}
      65:{2,4,5}:{(53,1),(60,1),(74,1)}
      66:{4,6}:{(53,1),(54,1)}
      67:{1,2,5}:{(55,1),(59,1),(60,1),(76,1)}
      68:{1,4,6}:{(55,1),(56,1),(61,1),(76,1)}
      69:{1,2,3}:{(57,1),(59,1)}
      70:{2,3,6}:{(60,1),(61,1),(74,1),(76,1)}
      71:{1,4,5}:{(62,1),(63,1),(77,1)}
      72:{1,2,3,6}:{(62,1),(64,1),(77,1)}
      73:{3,4,6}:{(63,1),(64,1),(66,1),(77,1),(78,1)}
      74:{2,4,6}:{(65,1),(66,1),(70,1),(79,1)}
      75:{4,5,6}:{(66,1),(78,1),(79,1)}
      76:{1,2,6}:{(67,1),(68,1),(70,1)}
      77:{1,4,6}:{(71,1),(72,1),(73,1),(80,1)}
      78:{3,5,6}:{(73,1),(75,1),(80,1)}
      79:{2,5,6}:{(74,1),(75,1)}
      80:{1,5,6}:{(77,1),(78,1)}

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

289 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(8,1),(10,1),(13,1),(23,1),(40,1),(52,1),(56,1),(59,1)}
       1:{1,4}:{(0,1),(4,1),(30,1)}
       2:{1,2,3,6}:{(0,1),(6,1),(15,1),(16,1),(18,1),(47,1),(55,1)}
       3:{1,2,4}:{(1,1),(7,1),(8,1),(21,1),(37,1),(52,1)}
       4:{3,4}:{(1,1),(7,1),(10,1),(21,1),(59,1)}
       5:{1,4,5}:{(1,1),(8,1),(10,1),(12,1),(13,1),(21,1),(27,1),(35,1)}
       6:{1,4,6}:{(1,1),(2,1),(11,1),(13,1)}
       7:{2,3}:{(3,1),(4,1)}
       8:{1,2,5}:{(3,1),(5,1),(14,1),(16,1),(34,1)}
       9:{1,2,4,6}:{(3,1),(6,1),(15,1),(16,1),(17,1),(28,1),(30,1),(31,1),(43,1),(55,1),(58,1)}
      10:{3,5}:{(4,1),(5,1),(18,1)}
      11:{3,4,6}:{(4,1),(6,1),(15,1),(18,1),(19,1),(28,1),(30,1),(33,1)}
      12:{1,4,6}:{(5,1),(16,1),(18,1),(20,1),(28,1),(33,1)}
      13:{1,5}:{(6,1),(19,1)}
      14:{2,3,5}:{(7,1),(8,1),(10,1),(21,1),(22,1),(35,1)}
      15:{2,3,6}:{(7,1),(9,1),(11,1),(23,1),(39,1),(41,1),(59,1)}
      16:{1,2,6}:{(8,1),(12,1),(22,1),(41,1)}
      17:{1,2,5}:{(9,1),(13,1),(23,1),(25,1),(35,1),(48,1),(52,1)}
      18:{3,6}:{(10,1),(12,1)}
      19:{3,5}:{(11,1),(13,1),(27,1),(35,1)}
      20:{1,5,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{4}:{(14,1)}
      22:{2,3,6}:{(14,1),(16,1),(18,1),(28,1)}
      23:{2,3,5}:{(15,1),(17,1),(19,1),(30,1),(32,1),(34,1),(45,1)}
      24:{1,2,5,6}:{(16,1),(17,1),(20,1),(29,1),(31,1),(54,1),(55,1)}
      25:{1,4,5}:{(17,1),(30,1),(31,1),(32,1),(42,1),(46,1),(54,1),(58,1)}
      26:{3,5,6}:{(18,1),(19,1),(20,1),(33,1)}
      27:{4,5}:{(19,1),(30,1),(33,1),(34,1)}
      28:{4,6}:{(21,1),(22,1),(35,1)}
      29:{2,3,5,6}:{(22,1),(23,1),(24,1),(26,1),(35,1),(36,1),(39,1),(41,1),(48,1),(49,1),(50,1)}
      30:{4}:{(23,1)}
      31:{1,4,6}:{(24,1),(25,1),(36,1),(39,1)}
      32:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      33:{4,6}:{(26,1),(27,1),(41,1)}
      34:{2,5}:{(27,1),(37,1),(41,1)}
      35:{5}:{(28,1)}
      36:{4,6}:{(29,1),(30,1),(42,1)}
      37:{2,4}:{(30,1),(34,1),(45,1)}
      38:{3,4}:{(30,1),(32,1),(45,1),(46,1)}
      39:{3,6}:{(31,1),(32,1)}
      40:{1,3,5}:{(32,1),(46,1),(47,1),(54,1)}
      41:{2,6}:{(33,1),(34,1)}
      42:{4,5}:{(35,1),(36,1),(48,1),(49,1),(57,1)}
      43:{2,4,6}:{(36,1),(37,1),(41,1),(48,1),(50,1),(57,1)}
      44:{3,4,6}:{(36,1),(38,1),(39,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      45:{2,3}:{(37,1),(38,1),(52,1)}
      46:{1,4}:{(38,1),(40,1),(52,1)}
      47:{1,3,6}:{(39,1),(40,1),(51,1),(59,1)}
      48:{2,5}:{(42,1),(43,1)}
      49:{3,5}:{(42,1),(44,1),(54,1)}
      50:{2,3,6}:{(43,1),(44,1),(45,1),(53,1),(55,1)}
      51:{1,4,6}:{(44,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      52:{1,2}:{(45,1),(46,1)}
      53:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{1,2,6}:{(50,1),(51,1),(52,1),(56,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(53,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

290 :   0:{1,4,5,6}:{(1,1),(2,1),(12,1),(14,1),(39,1),(124,1),(126,1),(165,1)}
        1:{1,2,5,6}:{(0,1),(4,1),(6,1),(22,1),(53,1),(57,1),(110,1)}
        2:{3,5,6}:{(0,1),(5,1),(59,1),(152,1)}
        3:{1,2,4,5}:{(4,1),(8,1),(25,1),(27,1),(53,1),(57,1),(61,1),(63,1),(98,1),(106,1),(153,1)}
        4:{1,2,4,6}:{(1,1),(3,1),(10,1),(14,1),(33,1),(86,1),(88,1),(126,1)}
        5:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(14,1)}
        6:{2,3,5,6}:{(1,1),(2,1),(10,1),(11,1),(14,1),(34,1),(37,1),(81,1)}
        7:{1,3,5,6}:{(2,1),(12,1),(29,1),(165,1),(167,1)}
        8:{2,3,5}:{(3,1),(10,1),(16,1),(34,1),(125,1),(175,1)}
        9:{3,4,5}:{(5,1),(17,1),(18,1),(25,1),(59,1),(94,1),(106,1)}
       10:{2,3,6}:{(4,1),(8,1),(20,1),(152,1)}
       11:{2,3,6}:{(5,1),(17,1),(22,1),(23,1)}
       12:{1,4,6}:{(5,1),(7,1),(18,1),(22,1)}
       13:{1,2,3,5,6}:{(6,1),(7,1),(19,1),(22,1),(24,1),(47,1),(53,1),(56,1),(57,1),(59,1),(100,1),(101,1),(103,1),(105,1),(107,1),(145,1),(147,1),(152,1),(155,1),(190,1)}
       14:{4,6}:{(6,1),(25,1),(106,1)}
       15:{1,2,3,5}:{(8,1),(19,1),(27,1),(53,1),(62,1),(63,1),(65,1)}
       16:{3,4}:{(8,1),(27,1),(106,1)}
       17:{2,3,5}:{(9,1),(11,1),(30,1),(31,1),(37,1),(70,1)}
       18:{1,4,5}:{(9,1),(12,1),(29,1),(30,1),(69,1)}
       19:{1,2,3,6}:{(10,1),(15,1),(33,1),(88,1),(89,1)}
       20:{3,4,6}:{(10,1),(14,1),(16,1),(33,1),(34,1)}
       21:{1,3,4,6}:{(12,1),(29,1),(35,1),(38,1),(69,1),(166,1),(167,1),(169,1)}
       22:{1,2,6}:{(11,1),(12,1),(30,1)}
       23:{2,4,6}:{(11,1),(14,1),(31,1),(37,1)}
       24:{1,4,6}:{(13,1),(14,1),(38,1),(39,1),(69,1),(127,1),(134,1)}
       25:{4,5}:{(14,1),(34,1),(37,1)}
       26:{2,3,4}:{(16,1),(41,1),(42,1),(133,1),(137,1),(175,1)}
       27:{1,4}:{(15,1),(16,1)}
       28:{3,4,5}:{(16,1),(34,1),(42,1),(44,1),(45,1),(73,1),(125,1),(137,1),(183,1)}
       29:{1,3,5}:{(18,1),(21,1),(59,1),(190,1)}
       30:{1,2,5}:{(17,1),(18,1),(22,1),(48,1)}
       31:{2,4}:{(17,1),(106,1)}
       32:{2,3,4,6}:{(20,1),(23,1),(26,1),(46,1),(50,1),(51,1),(56,1),(64,1),(93,1),(99,1),(106,1),(149,1),(151,1),(152,1),(158,1),(161,1),(195,1),(199,1),(220,1)}
       33:{1,4,6}:{(19,1),(20,1),(27,1),(53,1)}
       34:{3,5}:{(20,1),(25,1),(53,1)}
       35:{1,2,3,6}:{(21,1),(22,1),(47,1),(55,1),(56,1),(147,1),(187,1)}
       36:{1,2,4,6}:{(22,1),(23,1),(24,1),(48,1),(56,1),(57,1),(106,1),(153,1),(155,1),(158,1)}
       37:{2,5}:{(23,1),(25,1)}
       38:{3,4,6}:{(24,1),(56,1),(59,1),(94,1),(106,1),(147,1),(151,1),(152,1)}
       39:{1,4,5}:{(24,1),(25,1),(53,1),(57,1),(59,1),(106,1),(159,1),(190,1)}
       40:{4,5,6}:{(25,1),(54,1),(58,1),(99,1),(200,1)}
       41:{1,2,4}:{(26,1),(27,1),(62,1),(63,1),(113,1)}
       42:{2,3,5}:{(26,1),(28,1),(61,1),(63,1),(64,1)}
       43:{1,3,4}:{(27,1),(62,1),(65,1),(113,1),(151,1)}
       44:{1,4,5}:{(27,1),(28,1),(53,1),(63,1),(65,1),(66,1),(113,1),(162,1)}
       45:{3,4,6}:{(28,1),(54,1),(64,1),(66,1),(99,1),(152,1)}
       46:{2,3,4}:{(31,1),(67,1),(68,1),(70,1),(122,1),(225,1),(229,1)}
       47:{1,2,3,5}:{(29,1),(30,1),(35,1),(69,1),(70,1),(80,1),(81,1),(120,1)}
       48:{1,2,4}:{(30,1),(31,1),(69,1),(70,1)}
       49:{2,4,5}:{(31,1),(37,1),(68,1),(72,1),(73,1),(212,1),(225,1)}
       50:{1,2,4,6}:{(32,1),(33,1),(41,1),(67,1),(74,1),(75,1),(88,1),(119,1),(126,1),(127,1),(139,1),(169,1)}
       51:{2,3,5}:{(32,1),(34,1),(37,1),(73,1),(75,1),(125,1),(173,1),(181,1),(183,1),(212,1)}
       52:{1,3,4,6}:{(33,1),(38,1),(43,1),(74,1),(77,1),(89,1),(115,1),(127,1),(130,1),(139,1),(164,1),(169,1),(176,1)}
       53:{1,5}:{(33,1),(34,1)}
       54:{3,5,6}:{(34,1),(40,1),(45,1),(78,1),(183,1)}
       55:{1,2,4,6}:{(35,1),(69,1),(79,1),(80,1),(121,1),(168,1),(169,1),(201,1)}
       56:{2,3,6}:{(36,1),(38,1),(70,1),(81,1),(175,1)}
       57:{1,2,5}:{(36,1),(37,1),(39,1),(81,1),(181,1)}
       58:{2,5,6}:{(37,1),(40,1),(72,1),(212,1)}
       59:{3,5}:{(38,1),(39,1)}
       60:{1,4,5,6}:{(39,1),(40,1),(78,1),(82,1),(84,1),(121,1),(126,1),(130,1),(134,1),(178,1),(180,1),(202,1),(221,1)}
       61:{2,4,5}:{(42,1),(73,1),(86,1),(133,1),(181,1)}
       62:{1,2,3}:{(41,1),(43,1),(175,1)}
       63:{1,2,5}:{(41,1),(42,1),(44,1),(88,1)}
       64:{2,3,6}:{(42,1),(45,1),(86,1),(88,1)}
       65:{1,3,5}:{(43,1),(44,1),(89,1),(125,1)}
       66:{1,4,6}:{(44,1),(45,1),(78,1),(88,1),(89,1)}
       67:{1,2,4}:{(46,1),(91,1),(92,1),(144,1)}
       68:{2,3,5}:{(46,1),(49,1),(90,1),(92,1),(93,1)}
       69:{1,4}:{(47,1),(94,1),(106,1)}
       70:{2,3}:{(48,1),(94,1)}
       71:{1,2,4,5}:{(48,1),(49,1),(57,1),(92,1),(95,1),(96,1),(97,1),(98,1),(106,1),(144,1),(153,1),(156,1),(159,1),(184,1),(190,1),(197,1),(217,1),(220,1),(227,1)}
       72:{2,4,6}:{(49,1),(58,1),(93,1),(99,1)}
       73:{4,5}:{(51,1),(99,1),(106,1),(220,1)}
       74:{1,2,3,6}:{(50,1),(52,1),(56,1),(62,1),(91,1),(100,1),(152,1),(155,1),(195,1)}
       75:{1,2,5}:{(50,1),(51,1),(53,1),(98,1),(162,1),(190,1)}
       76:{2,3,5,6}:{(51,1),(54,1),(58,1),(64,1),(93,1),(99,1),(101,1),(110,1),(141,1),(152,1)}
       77:{1,3,5}:{(52,1),(53,1),(59,1),(102,1),(162,1),(190,1),(196,1)}
       78:{1,5,6}:{(53,1),(54,1),(66,1),(162,1)}
       79:{2,3,4,6}:{(55,1),(56,1),(94,1),(104,1),(106,1),(147,1),(148,1),(149,1),(157,1),(158,1),(191,1)}
       80:{1,2,5}:{(55,1),(95,1),(104,1),(190,1)}
       81:{2,3,5}:{(56,1),(57,1),(59,1),(106,1)}
       82:{1,2,5,6}:{(57,1),(58,1),(60,1),(97,1),(107,1),(155,1),(190,1),(197,1),(198,1)}
       83:{3,4,5}:{(59,1),(102,1),(106,1),(108,1),(109,1),(151,1),(159,1),(196,1),(220,1)}
       84:{3,5,6}:{(59,1),(60,1),(109,1),(147,1),(152,1),(196,1),(226,1)}
       85:{1,2,4,5}:{(61,1),(63,1),(98,1),(111,1),(112,1),(113,1),(153,1),(162,1),(197,1),(200,1),(220,1)}
       86:{2,4,6}:{(61,1),(64,1),(99,1),(110,1)}
       87:{1,2,3,5}:{(62,1),(63,1),(65,1),(111,1),(113,1),(114,1),(162,1)}
       88:{1,2,6}:{(63,1),(64,1),(66,1)}
       89:{1,3,6}:{(65,1),(66,1),(152,1)}
       90:{3,4,5}:{(68,1),(73,1),(116,1),(117,1),(122,1),(125,1),(173,1)}
       91:{1,2,3}:{(67,1),(70,1),(115,1),(229,1)}
       92:{1,2,5}:{(67,1),(68,1),(116,1),(119,1)}
       93:{2,3,6}:{(68,1),(72,1),(117,1),(119,1)}
       94:{3,4}:{(69,1),(70,1),(120,1)}
       95:{1,4,5}:{(69,1),(80,1),(120,1),(121,1),(131,1)}
       96:{2,3,5}:{(70,1),(71,1),(120,1),(122,1),(123,1),(125,1),(173,1),(175,1),(224,1),(229,1)}
       97:{1,2,4,6}:{(71,1),(72,1),(82,1),(119,1),(121,1),(123,1),(126,1),(134,1),(169,1),(179,1),(201,1),(221,1)}
       98:{1,4,5}:{(73,1),(75,1),(125,1),(126,1),(127,1)}
       99:{4,6}:{(73,1),(76,1)}
      100:{1,2,3,5}:{(74,1),(75,1),(77,1),(81,1),(125,1),(127,1),(129,1),(175,1),(211,1)}
      101:{1,2,5,6}:{(75,1),(76,1),(78,1),(88,1),(119,1),(126,1),(165,1)}
      102:{1,4,5}:{(77,1),(83,1),(127,1),(129,1),(130,1)}
      103:{1,3,5,6}:{(77,1),(78,1),(84,1),(89,1),(130,1),(164,1),(202,1)}
      104:{2,3,5}:{(79,1),(80,1),(120,1),(131,1),(173,1),(181,1)}
      105:{1,2,5,6}:{(80,1),(121,1),(132,1),(201,1),(202,1)}
      106:{4}:{(81,1)}
      107:{2,3,5,6}:{(81,1),(82,1),(84,1),(123,1),(134,1),(135,1),(173,1),(181,1),(211,1)}
      108:{2,3,5}:{(83,1),(129,1),(133,1),(135,1),(175,1),(181,1)}
      109:{3,4,6}:{(83,1),(84,1),(130,1),(134,1),(135,1)}
      110:{2,5,6}:{(86,1),(124,1),(181,1)}
      111:{2,3,5}:{(85,1),(125,1),(137,1),(138,1),(175,1),(183,1)}
      112:{1,2,4,6}:{(85,1),(86,1),(88,1),(126,1),(136,1),(138,1),(139,1),(182,1)}
      113:{1,4}:{(87,1),(137,1)}
      114:{1,2,3,6}:{(87,1),(88,1),(89,1),(138,1),(139,1)}
      115:{1,3,4}:{(91,1),(94,1),(140,1),(144,1),(228,1)}
      116:{1,4,5}:{(90,1),(92,1),(142,1),(143,1),(144,1),(190,1)}
      117:{3,4,6}:{(90,1),(93,1),(99,1),(141,1),(143,1),(152,1)}
      118:{1,2,3,5}:{(91,1),(92,1),(96,1),(140,1),(142,1),(144,1),(145,1),(184,1),(187,1),(190,1)}
      119:{1,2,6}:{(92,1),(93,1),(143,1)}
      120:{3,5}:{(94,1),(95,1),(147,1)}
      121:{1,4,6}:{(95,1),(105,1),(147,1),(157,1)}
      122:{3,4}:{(96,1),(106,1),(144,1),(220,1)}
      123:{2,3,6}:{(96,1),(97,1),(147,1),(149,1),(152,1),(226,1)}
      124:{4,5,6}:{(99,1),(110,1),(141,1),(159,1)}
      125:{3,5}:{(98,1),(151,1),(152,1)}
      126:{1,4,6}:{(98,1),(99,1),(101,1),(152,1)}
      127:{1,4}:{(100,1),(106,1),(151,1),(220,1)}
      128:{1,2,3,5,6}:{(100,1),(101,1),(103,1),(107,1),(114,1),(145,1),(152,1),(154,1),(155,1),(160,1),(162,1),(186,1),(190,1),(195,1),(196,1),(197,1),(213,1),(214,1),(216,1),(226,1)}
      129:{1,2,5}:{(102,1),(108,1),(153,1),(155,1)}
      130:{1,4,6}:{(102,1),(103,1),(109,1),(155,1)}
      131:{4,5}:{(104,1),(106,1),(157,1)}
      132:{2,3,5,6}:{(104,1),(105,1),(147,1),(157,1),(191,1),(192,1),(198,1)}
      133:{2,4}:{(106,1),(108,1),(220,1)}
      134:{4,6}:{(106,1),(107,1),(159,1),(220,1)}
      135:{2,3,6}:{(108,1),(109,1),(155,1),(158,1)}
      136:{1,2,5,6}:{(110,1),(112,1),(150,1),(160,1),(162,1),(197,1),(214,1)}
      137:{3,4}:{(111,1),(113,1),(220,1)}
      138:{2,3,6}:{(111,1),(112,1),(152,1),(161,1)}
      139:{1,4,6}:{(113,1),(114,1),(161,1),(162,1)}
      140:{1,3,5}:{(115,1),(120,1),(163,1),(164,1),(224,1)}
      141:{3,5,6}:{(117,1),(124,1),(165,1),(173,1)}
      142:{1,3,5}:{(116,1),(125,1),(166,1),(167,1)}
      143:{1,4,6}:{(116,1),(117,1),(119,1),(165,1),(167,1)}
      144:{1,4}:{(118,1),(122,1)}
      145:{1,2,3,6}:{(118,1),(119,1),(123,1),(164,1),(167,1),(169,1),(201,1)}
      146:{3,4,5}:{(120,1),(122,1),(131,1),(163,1),(170,1),(171,1),(173,1),(208,1),(224,1)}
      147:{3,6}:{(120,1),(121,1)}
      148:{2,3,4}:{(122,1),(133,1),(168,1),(170,1),(175,1)}
      149:{3,4,6}:{(122,1),(123,1),(134,1),(169,1),(173,1)}
      150:{1,4,5,6}:{(124,1),(126,1),(136,1),(165,1),(174,1),(178,1),(182,1),(203,1)}
      151:{3,4}:{(125,1),(127,1),(175,1)}
      152:{3,6}:{(125,1),(126,1)}
      153:{1,2,4}:{(127,1),(129,1),(133,1),(175,1)}
      154:{1,4,6}:{(127,1),(128,1),(134,1),(176,1),(178,1),(182,1),(223,1)}
      155:{1,2,6}:{(129,1),(130,1),(135,1)}
      156:{2,4,5}:{(131,1),(133,1),(170,1),(179,1),(181,1),(208,1)}
      157:{4,6}:{(131,1),(132,1)}
      158:{2,4,6}:{(133,1),(134,1),(135,1),(181,1)}
      159:{4,5}:{(134,1),(173,1),(181,1)}
      160:{2,3,5,6}:{(136,1),(138,1),(174,1),(182,1),(183,1),(209,1),(211,1),(212,1)}
      161:{3,4,6}:{(137,1),(138,1),(139,1),(182,1),(183,1)}
      162:{1,5}:{(139,1),(183,1)}
      163:{1,4,5}:{(140,1),(144,1),(146,1),(184,1),(185,1),(190,1)}
      164:{1,3,6}:{(140,1),(147,1),(185,1),(226,1)}
      165:{1,5,6}:{(141,1),(143,1),(190,1)}
      166:{1,3,4}:{(142,1),(144,1),(151,1),(187,1)}
      167:{1,3,6}:{(142,1),(143,1),(152,1)}
      168:{1,2,4}:{(144,1),(148,1),(184,1),(187,1)}
      169:{1,4,6}:{(144,1),(145,1),(149,1),(190,1)}
      170:{2,3,5}:{(146,1),(148,1),(156,1),(184,1),(191,1)}
      171:{3,4,6}:{(146,1),(147,1),(157,1),(185,1),(191,1),(192,1),(218,1),(226,1)}
      172:{2,3,4,6}:{(148,1),(149,1),(158,1),(189,1),(191,1),(193,1),(195,1),(218,1),(220,1),(226,1),(228,1)}
      173:{3,5}:{(149,1),(159,1),(190,1)}
      174:{3,5,6}:{(150,1),(152,1),(194,1),(196,1)}
      175:{2,3}:{(151,1),(153,1)}
      176:{3,4,6}:{(151,1),(152,1),(154,1),(195,1),(196,1),(220,1),(226,1),(228,1)}
      177:{1,2,4,6}:{(153,1),(154,1),(155,1),(158,1),(195,1),(197,1),(199,1),(214,1),(220,1),(227,1)}
      178:{1,4,5}:{(154,1),(159,1),(162,1),(190,1),(196,1),(197,1),(200,1),(220,1)}
      179:{2,4,6}:{(156,1),(157,1),(191,1),(198,1),(218,1)}
      180:{4,5,6}:{(157,1),(159,1),(192,1),(198,1),(218,1)}
      181:{2,5}:{(158,1),(159,1)}
      182:{4,6}:{(160,1),(200,1),(220,1)}
      183:{3,5}:{(161,1),(162,1),(200,1)}
      184:{1,2,5}:{(163,1),(168,1),(170,1),(201,1)}
      185:{1,4,6}:{(163,1),(164,1),(171,1),(201,1),(202,1)}
      186:{1,3,5,6}:{(165,1),(167,1),(174,1),(203,1),(205,1)}
      187:{1,2,3}:{(166,1),(168,1),(175,1)}
      188:{1,3,4,6}:{(166,1),(167,1),(169,1),(176,1),(203,1),(204,1),(205,1),(223,1)}
      189:{1,2,4,6}:{(168,1),(169,1),(172,1),(201,1),(204,1),(206,1),(221,1),(223,1)}
      190:{1,5}:{(169,1),(173,1)}
      191:{2,3,6}:{(170,1),(171,1),(179,1),(201,1)}
      192:{3,5,6}:{(171,1),(173,1),(180,1),(202,1)}
      193:{2,3,5}:{(172,1),(173,1),(181,1),(206,1),(208,1),(224,1)}
      194:{3,4,6}:{(174,1),(182,1),(203,1),(209,1),(210,1)}
      195:{2,3,6}:{(175,1),(176,1),(177,1),(211,1),(229,1)}
      196:{3,5}:{(176,1),(178,1)}
      197:{1,2,5}:{(177,1),(178,1),(181,1),(211,1),(212,1)}
      198:{2,5,6}:{(179,1),(180,1),(181,1)}
      199:{2,4,6}:{(182,1),(209,1),(212,1),(225,1)}
      200:{4,5}:{(182,1),(183,1),(212,1)}
      201:{1,2,6}:{(184,1),(185,1),(191,1)}
      202:{1,5,6}:{(185,1),(190,1),(192,1)}
      203:{1,4,6}:{(186,1),(194,1),(214,1),(215,1)}
      204:{1,2,3,6}:{(187,1),(188,1),(189,1),(195,1),(214,1),(216,1),(226,1)}
      205:{1,3,5}:{(188,1),(190,1),(196,1),(215,1)}
      206:{1,2,5}:{(189,1),(190,1),(193,1),(217,1)}
      207:{2,3,5,6}:{(191,1),(192,1),(193,1),(198,1),(213,1),(218,1),(226,1)}
      208:{4,5}:{(193,1),(218,1),(220,1)}
      209:{2,3,6}:{(194,1),(199,1),(214,1),(219,1)}
      210:{3,4,5}:{(194,1),(196,1),(200,1),(215,1),(219,1),(220,1),(228,1)}
      211:{2,3,5}:{(195,1),(196,1),(197,1),(220,1)}
      212:{2,5}:{(199,1),(200,1)}
      213:{1,2,5,6}:{(201,1),(202,1),(206,1),(207,1),(221,1)}
      214:{1,2,6}:{(203,1),(209,1),(222,1)}
      215:{1,4,5}:{(203,1),(205,1),(210,1),(222,1),(223,1)}
      216:{1,2,3,5}:{(204,1),(205,1),(206,1),(211,1),(222,1),(223,1),(224,1),(229,1)}
      217:{1,4,5}:{(206,1),(208,1),(221,1),(223,1),(224,1)}
      218:{4,6}:{(207,1),(208,1)}
      219:{2,3,5}:{(209,1),(210,1),(212,1),(222,1),(225,1),(229,1)}
      220:{4}:{(211,1)}
      221:{1,4,6}:{(213,1),(217,1),(218,1),(226,1)}
      222:{1,2,5}:{(214,1),(215,1),(219,1),(227,1)}
      223:{1,4}:{(216,1),(220,1),(228,1)}
      224:{3,5}:{(217,1),(226,1),(228,1)}
      225:{2,4}:{(219,1),(220,1)}
      226:{3,6}:{(221,1),(224,1)}
      227:{1,2,4}:{(222,1),(223,1),(225,1),(229,1)}
      228:{3,4}:{(223,1),(224,1),(229,1)}
      229:{2,3}:{(227,1),(228,1)}

291 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

292 :   0:{2,3,4,6}:{(1,1),(2,1),(8,1),(12,1),(37,1),(42,1),(43,1),(86,1),(87,1),(127,1),(138,1)}
        1:{1,2,4,6}:{(0,1),(4,1),(5,1),(18,1),(25,1),(26,1),(58,1),(106,1)}
        2:{2,3,5}:{(0,1),(3,1),(5,1),(24,1),(112,1),(153,1)}
        3:{4,5}:{(2,1),(12,1),(138,1)}
        4:{1,2,3,6}:{(1,1),(7,1),(13,1),(35,1),(43,1),(69,1),(87,1)}
        5:{1,2,5}:{(1,1),(2,1),(11,1),(133,1)}
        6:{2,3,5,6}:{(2,1),(12,1),(14,1),(32,1),(33,1),(37,1),(43,1)}
        7:{1,3,4,6}:{(4,1),(15,1),(26,1),(48,1),(56,1),(64,1),(104,1),(106,1)}
        8:{2,3,4}:{(18,1),(19,1),(61,1),(154,1),(193,1)}
        9:{3,4,5}:{(3,1),(19,1),(20,1),(21,1),(24,1),(49,1),(61,1),(95,1),(112,1)}
       10:{2,4,5}:{(3,1),(19,1),(23,1),(49,1),(153,1),(154,1)}
       11:{1,4,5}:{(3,1),(5,1),(24,1),(25,1),(26,1)}
       12:{4,6}:{(3,1),(6,1)}
       13:{1,2,3,5}:{(4,1),(5,1),(15,1),(24,1),(26,1),(47,1),(63,1),(113,1)}
       14:{1,2,5,6}:{(5,1),(6,1),(25,1),(53,1),(58,1)}
       15:{1,3,5}:{(7,1),(28,1),(88,1),(133,1)}
       16:{2,3,4,6}:{(8,1),(30,1),(31,1),(37,1),(73,1),(86,1),(121,1),(122,1),(127,1),(171,1),(207,1)}
       17:{4,5,6}:{(12,1),(32,1),(33,1),(73,1),(128,1)}
       18:{1,2,4}:{(8,1),(35,1),(36,1),(80,1)}
       19:{2,3,5}:{(8,1),(9,1),(10,1),(36,1),(37,1)}
       20:{1,4,5}:{(9,1),(36,1),(38,1),(39,1),(80,1),(133,1)}
       21:{3,4,6}:{(9,1),(12,1),(32,1),(37,1),(39,1),(43,1),(73,1),(122,1)}
       22:{1,2,4,5}:{(10,1),(11,1),(36,1),(40,1),(41,1),(44,1),(72,1),(80,1),(89,1),(115,1),(123,1),(128,1),(130,1),(133,1),(138,1),(173,1),(174,1),(179,1),(207,1)}
       23:{2,4,6}:{(10,1),(12,1),(33,1),(37,1),(73,1)}
       24:{3,5}:{(11,1),(42,1),(43,1)}
       25:{1,4,6}:{(11,1),(12,1),(14,1),(43,1)}
       26:{1,4}:{(13,1),(42,1),(138,1)}
       27:{1,2,3,5,6}:{(13,1),(14,1),(29,1),(43,1),(45,1),(69,1),(76,1),(77,1),(81,1),(87,1),(88,1),(89,1),(117,1),(125,1),(133,1),(134,1),(166,1),(178,1),(203,1),(212,1)}
       28:{1,4,5}:{(15,1),(26,1),(46,1),(47,1),(48,1)}
       29:{1,3,5,6}:{(15,1),(48,1),(92,1),(104,1),(156,1)}
       30:{1,2,4,6}:{(16,1),(18,1),(50,1),(51,1),(58,1),(96,1),(97,1),(106,1)}
       31:{2,3,5}:{(16,1),(49,1),(51,1),(95,1),(112,1),(153,1)}
       32:{3,5,6}:{(17,1),(21,1),(53,1),(112,1)}
       33:{2,5,6}:{(17,1),(23,1),(153,1)}
       34:{1,4,5,6}:{(17,1),(25,1),(53,1),(54,1),(55,1),(66,1),(96,1),(99,1),(100,1),(150,1),(184,1),(197,1),(215,1)}
       35:{1,2,3}:{(18,1),(56,1),(193,1)}
       36:{1,2,5}:{(18,1),(19,1),(20,1),(58,1)}
       37:{2,3,6}:{(19,1),(21,1),(23,1),(58,1)}
       38:{1,3,5}:{(20,1),(24,1),(59,1),(60,1),(95,1)}
       39:{1,4,6}:{(20,1),(21,1),(53,1),(58,1),(60,1)}
       40:{2,3,5}:{(22,1),(24,1),(61,1),(62,1),(63,1),(95,1),(112,1),(147,1),(193,1),(198,1)}
       41:{1,2,4,6}:{(22,1),(23,1),(25,1),(54,1),(58,1),(62,1),(96,1),(100,1),(106,1),(140,1),(155,1),(197,1)}
       42:{3,4}:{(24,1),(26,1),(63,1)}
       43:{3,6}:{(24,1),(25,1)}
       44:{1,2,4}:{(26,1),(47,1),(63,1),(90,1)}
       45:{1,4,6}:{(26,1),(27,1),(64,1),(66,1),(100,1),(142,1),(158,1)}
       46:{3,4,5}:{(28,1),(42,1),(67,1),(68,1),(88,1),(138,1),(164,1)}
       47:{1,2,5}:{(28,1),(44,1),(67,1),(69,1)}
       48:{1,4,6}:{(28,1),(29,1),(68,1),(69,1)}
       49:{4,5}:{(31,1),(73,1),(207,1)}
       50:{1,2,3,6}:{(30,1),(35,1),(71,1),(74,1),(122,1),(169,1),(171,1)}
       51:{1,2,5}:{(30,1),(31,1),(72,1),(133,1)}
       52:{2,3,5,6}:{(31,1),(32,1),(33,1),(37,1),(73,1),(75,1),(122,1)}
       53:{1,5,6}:{(32,1),(39,1),(133,1)}
       54:{1,2,5,6}:{(33,1),(34,1),(41,1),(77,1),(89,1),(125,1),(133,1),(163,1),(173,1)}
       55:{3,5,6}:{(34,1),(43,1),(78,1),(88,1),(122,1),(172,1),(212,1)}
       56:{1,3,4}:{(35,1),(79,1),(80,1),(180,1)}
       57:{1,2,3,5}:{(35,1),(36,1),(38,1),(40,1),(79,1),(80,1),(81,1),(82,1),(130,1),(133,1)}
       58:{1,2,6}:{(36,1),(37,1),(39,1)}
       59:{1,3,4}:{(38,1),(42,1),(80,1),(82,1),(121,1)}
       60:{1,3,6}:{(38,1),(39,1),(43,1),(122,1)}
       61:{3,4}:{(40,1),(80,1),(138,1),(207,1)}
       62:{2,3,6}:{(40,1),(41,1),(43,1),(86,1),(122,1),(212,1)}
       63:{2,3}:{(42,1),(44,1)}
       64:{3,4,6}:{(42,1),(43,1),(45,1),(87,1),(88,1),(138,1),(180,1),(212,1)}
       65:{1,2,4,6}:{(44,1),(45,1),(69,1),(87,1),(89,1),(116,1),(125,1),(127,1),(138,1),(174,1)}
       66:{1,4,5}:{(45,1),(88,1),(89,1),(128,1),(133,1),(138,1),(164,1),(203,1)}
       67:{2,3,5}:{(46,1),(47,1),(63,1),(90,1),(91,1),(141,1)}
       68:{3,4,6}:{(46,1),(48,1),(91,1),(92,1),(142,1)}
       69:{1,2,6}:{(47,1),(48,1),(91,1)}
       70:{1,4,5,6}:{(48,1),(66,1),(92,1),(93,1),(142,1),(152,1),(156,1),(197,1)}
       71:{1,3,4,6}:{(50,1),(56,1),(94,1),(97,1),(104,1),(106,1),(146,1),(148,1)}
       72:{1,4,5}:{(49,1),(51,1),(95,1),(96,1),(97,1)}
       73:{4,6}:{(49,1),(52,1)}
       74:{1,2,3,5}:{(50,1),(51,1),(94,1),(95,1),(97,1),(145,1),(147,1),(191,1)}
       75:{1,2,5,6}:{(51,1),(52,1),(53,1),(58,1),(96,1)}
       76:{1,3,5,6}:{(53,1),(55,1),(60,1),(99,1),(108,1),(215,1),(222,1)}
       77:{2,3,5,6}:{(54,1),(55,1),(62,1),(100,1),(101,1),(112,1),(113,1),(153,1),(191,1)}
       78:{3,4,6}:{(55,1),(99,1),(100,1),(101,1),(102,1)}
       79:{1,3,5}:{(56,1),(103,1),(104,1),(198,1)}
       80:{1,4}:{(57,1),(61,1)}
       81:{1,2,3,6}:{(57,1),(58,1),(60,1),(62,1),(104,1),(106,1),(155,1)}
       82:{1,2,3}:{(59,1),(63,1),(105,1),(147,1)}
       83:{1,3,4,6}:{(59,1),(60,1),(64,1),(99,1),(106,1),(107,1),(108,1),(148,1),(158,1),(186,1),(199,1),(222,1),(228,1)}
       84:{3,4,5}:{(61,1),(103,1),(109,1),(110,1),(112,1),(160,1),(198,1)}
       85:{2,3,4}:{(61,1),(63,1),(90,1),(105,1),(109,1),(147,1),(187,1)}
       86:{3,4,6}:{(61,1),(62,1),(100,1),(106,1),(112,1)}
       87:{2,3,6}:{(63,1),(64,1),(65,1),(113,1),(193,1)}
       88:{3,5}:{(64,1),(66,1)}
       89:{1,2,5}:{(65,1),(66,1),(113,1),(141,1),(153,1)}
       90:{2,4}:{(67,1),(138,1)}
       91:{2,3,6}:{(67,1),(68,1),(69,1),(116,1)}
       92:{3,5,6}:{(68,1),(70,1),(88,1),(212,1)}
       93:{1,2,5,6}:{(69,1),(70,1),(89,1),(117,1),(118,1),(175,1),(203,1)}
       94:{1,3,5}:{(71,1),(119,1),(133,1),(172,1)}
       95:{3,5}:{(72,1),(121,1),(122,1)}
       96:{1,4,6}:{(72,1),(73,1),(75,1),(122,1)}
       97:{1,4}:{(74,1),(121,1),(207,1)}
       98:{1,2,3,5,6}:{(74,1),(75,1),(76,1),(77,1),(81,1),(120,1),(122,1),(124,1),(125,1),(133,1),(134,1),(169,1),(171,1),(172,1),(173,1),(178,1),(205,1),(212,1),(225,1),(229,1)}
       99:{1,4,6}:{(76,1),(78,1),(125,1),(126,1)}
      100:{4,6}:{(77,1),(128,1),(138,1),(207,1)}
      101:{2,3,6}:{(78,1),(125,1),(127,1),(129,1)}
      102:{3,4,5}:{(78,1),(88,1),(126,1),(128,1),(129,1),(138,1),(172,1),(180,1),(207,1)}
      103:{1,4,5}:{(79,1),(80,1),(84,1),(130,1),(131,1),(133,1)}
      104:{1,3,6}:{(79,1),(131,1),(212,1)}
      105:{1,2,4}:{(80,1),(82,1),(85,1),(130,1)}
      106:{1,4,6}:{(80,1),(81,1),(86,1),(133,1)}
      107:{1,2,3,6}:{(82,1),(83,1),(87,1),(125,1),(132,1),(134,1),(171,1),(209,1),(212,1)}
      108:{1,3,5}:{(83,1),(88,1),(126,1),(133,1),(172,1),(203,1),(229,1)}
      109:{2,3,5}:{(84,1),(85,1),(115,1),(130,1),(135,1)}
      110:{3,4,6}:{(84,1),(131,1),(135,1),(136,1),(181,1),(212,1)}
      111:{2,3,4,6}:{(85,1),(86,1),(87,1),(116,1),(127,1),(132,1),(135,1),(137,1),(138,1),(165,1),(171,1),(177,1),(180,1),(181,1),(204,1),(207,1),(210,1),(212,1),(224,1)}
      112:{3,5}:{(86,1),(128,1),(133,1)}
      113:{2,3,5}:{(87,1),(88,1),(89,1),(138,1)}
      114:{1,2,4,5}:{(89,1),(118,1),(138,1),(139,1),(164,1),(174,1),(176,1),(179,1),(183,1),(203,1),(211,1)}
      115:{2,4,5}:{(90,1),(109,1),(140,1),(141,1),(160,1),(187,1),(216,1)}
      116:{2,4,6}:{(90,1),(91,1),(141,1),(142,1)}
      117:{2,3,5,6}:{(91,1),(92,1),(93,1),(113,1),(141,1),(142,1),(143,1),(185,1)}
      118:{1,2,4,6}:{(93,1),(114,1),(142,1),(143,1),(186,1),(194,1),(197,1),(221,1)}
      119:{1,4,5}:{(94,1),(97,1),(144,1),(145,1),(146,1)}
      120:{1,3,5,6}:{(94,1),(104,1),(146,1),(156,1),(189,1)}
      121:{3,4}:{(95,1),(97,1),(147,1)}
      122:{3,6}:{(95,1),(96,1)}
      123:{1,2,4}:{(97,1),(145,1),(147,1),(187,1)}
      124:{1,4,6}:{(97,1),(98,1),(100,1),(148,1),(150,1),(158,1),(217,1)}
      125:{1,2,6}:{(99,1),(101,1),(151,1)}
      126:{1,4,5}:{(99,1),(102,1),(108,1),(151,1),(158,1)}
      127:{2,4,6}:{(100,1),(101,1),(153,1),(154,1)}
      128:{4,5}:{(100,1),(112,1),(153,1)}
      129:{2,3,5}:{(101,1),(102,1),(151,1),(153,1),(154,1),(193,1)}
      130:{1,2,5}:{(103,1),(105,1),(109,1),(155,1)}
      131:{1,4,6}:{(103,1),(104,1),(110,1),(155,1),(156,1)}
      132:{1,2,4,6}:{(105,1),(106,1),(107,1),(111,1),(155,1),(157,1),(158,1),(186,1),(196,1),(197,1),(221,1),(228,1)}
      133:{1,5}:{(106,1),(112,1)}
      134:{1,2,3,5}:{(107,1),(108,1),(113,1),(151,1),(157,1),(158,1),(191,1),(193,1),(198,1)}
      135:{2,3,6}:{(109,1),(110,1),(140,1),(155,1)}
      136:{3,5,6}:{(110,1),(112,1),(152,1),(156,1)}
      137:{2,3,5}:{(111,1),(112,1),(141,1),(153,1),(157,1),(160,1),(185,1),(198,1),(216,1),(227,1)}
      138:{4}:{(113,1)}
      139:{2,3,5}:{(114,1),(143,1),(161,1),(185,1),(193,1),(198,1)}
      140:{2,4,6}:{(115,1),(135,1),(163,1),(181,1)}
      141:{2,5}:{(116,1),(164,1)}
      142:{4,6}:{(117,1),(138,1),(164,1)}
      143:{2,3,6}:{(118,1),(139,1),(165,1),(212,1)}
      144:{3,4,5}:{(119,1),(121,1),(167,1),(168,1),(172,1),(207,1),(223,1)}
      145:{1,2,5}:{(119,1),(123,1),(167,1),(169,1)}
      146:{1,4,6}:{(119,1),(120,1),(168,1),(169,1)}
      147:{2,3}:{(121,1),(123,1)}
      148:{3,4,6}:{(121,1),(122,1),(124,1),(171,1),(172,1),(180,1),(207,1),(212,1)}
      149:{1,2,4,6}:{(123,1),(124,1),(125,1),(127,1),(169,1),(171,1),(173,1),(174,1),(204,1),(207,1)}
      150:{1,4,5}:{(124,1),(128,1),(133,1),(172,1),(173,1),(207,1),(223,1),(229,1)}
      151:{1,2,5}:{(125,1),(126,1),(129,1),(174,1)}
      152:{4,5,6}:{(128,1),(136,1),(175,1),(181,1)}
      153:{2,5}:{(127,1),(128,1)}
      154:{2,4}:{(129,1),(138,1),(207,1)}
      155:{1,2,6}:{(130,1),(131,1),(135,1)}
      156:{1,5,6}:{(131,1),(133,1),(136,1)}
      157:{1,2,5}:{(132,1),(133,1),(137,1),(179,1),(203,1),(229,1)}
      158:{1,4}:{(134,1),(138,1),(180,1),(207,1)}
      159:{2,3,5,6}:{(135,1),(136,1),(137,1),(163,1),(175,1),(178,1),(181,1),(202,1),(210,1),(212,1)}
      160:{4,5}:{(137,1),(138,1),(181,1),(207,1)}
      161:{3,4}:{(138,1),(139,1),(183,1)}
      162:{1,2,3,5}:{(139,1),(166,1),(183,1),(203,1),(209,1),(211,1),(213,1)}
      163:{2,5,6}:{(140,1),(141,1),(184,1),(216,1)}
      164:{4,5}:{(141,1),(142,1),(185,1)}
      165:{3,4,6}:{(142,1),(143,1),(161,1),(185,1),(186,1)}
      166:{1,2,3,6}:{(143,1),(162,1),(186,1),(221,1),(222,1)}
      167:{2,3,5}:{(144,1),(145,1),(147,1),(187,1),(188,1),(216,1)}
      168:{3,4,6}:{(144,1),(146,1),(188,1),(189,1),(217,1)}
      169:{1,2,6}:{(145,1),(146,1),(188,1)}
      170:{1,4,5,6}:{(146,1),(150,1),(152,1),(156,1),(189,1),(190,1),(197,1),(217,1)}
      171:{2,3,6}:{(147,1),(148,1),(149,1),(191,1),(193,1)}
      172:{3,5}:{(148,1),(150,1)}
      173:{1,2,5}:{(149,1),(150,1),(153,1),(191,1),(216,1)}
      174:{1,2,4}:{(151,1),(154,1),(158,1),(193,1)}
      175:{2,5,6}:{(152,1),(153,1),(194,1)}
      176:{2,4,5}:{(153,1),(154,1),(160,1),(194,1),(195,1)}
      177:{2,3,4}:{(154,1),(161,1),(193,1),(195,1),(196,1),(219,1)}
      178:{1,2,5,6}:{(155,1),(156,1),(157,1),(159,1),(197,1),(215,1),(221,1)}
      179:{1,4,5}:{(157,1),(158,1),(160,1),(197,1),(198,1)}
      180:{3,4}:{(158,1),(193,1),(198,1)}
      181:{4,6}:{(159,1),(160,1)}
      182:{3,4,5}:{(160,1),(161,1),(185,1),(195,1),(198,1),(200,1),(201,1),(219,1),(227,1)}
      183:{1,4}:{(161,1),(162,1)}
      184:{4,5,6}:{(163,1),(164,1),(181,1),(202,1),(223,1)}
      185:{3,5}:{(164,1),(165,1),(203,1)}
      186:{1,4,6}:{(165,1),(166,1),(183,1),(203,1)}
      187:{2,4}:{(167,1),(207,1)}
      188:{2,3,6}:{(167,1),(168,1),(169,1),(204,1)}
      189:{3,5,6}:{(168,1),(170,1),(172,1),(212,1)}
      190:{1,2,5,6}:{(169,1),(170,1),(173,1),(175,1),(205,1),(206,1),(229,1)}
      191:{2,3,5}:{(171,1),(172,1),(173,1),(207,1)}
      192:{1,2,4,5}:{(173,1),(174,1),(176,1),(179,1),(206,1),(207,1),(208,1),(211,1),(223,1),(226,1),(229,1)}
      193:{2,3}:{(174,1),(180,1)}
      194:{2,4,6}:{(175,1),(176,1),(181,1),(210,1)}
      195:{2,3,5}:{(176,1),(177,1),(182,1),(210,1),(211,1)}
      196:{1,2,4}:{(177,1),(183,1),(209,1),(211,1),(226,1)}
      197:{1,4,6}:{(178,1),(179,1),(181,1),(212,1)}
      198:{3,5}:{(179,1),(180,1),(212,1)}
      199:{1,3,4}:{(180,1),(183,1),(209,1),(213,1),(226,1)}
      200:{3,4,6}:{(181,1),(182,1),(202,1),(210,1),(212,1),(214,1)}
      201:{1,4,5}:{(182,1),(183,1),(203,1),(211,1),(213,1),(214,1),(226,1),(229,1)}
      202:{3,5,6}:{(184,1),(185,1),(200,1),(215,1),(227,1)}
      203:{1,5}:{(185,1),(186,1)}
      204:{2,4,6}:{(187,1),(188,1),(216,1),(217,1)}
      205:{2,3,5,6}:{(188,1),(189,1),(190,1),(191,1),(216,1),(217,1),(218,1),(227,1)}
      206:{1,2,4,6}:{(190,1),(192,1),(194,1),(197,1),(217,1),(218,1),(221,1),(228,1)}
      207:{4}:{(191,1)}
      208:{2,3,5}:{(192,1),(193,1),(198,1),(218,1),(219,1),(227,1)}
      209:{1,2,3}:{(193,1),(196,1),(199,1)}
      210:{2,3,6}:{(194,1),(195,1),(200,1),(221,1)}
      211:{1,2,5}:{(195,1),(196,1),(201,1),(221,1)}
      212:{3,6}:{(197,1),(198,1)}
      213:{1,3,5}:{(198,1),(199,1),(201,1),(222,1)}
      214:{1,4,6}:{(200,1),(201,1),(215,1),(221,1),(222,1)}
      215:{1,5,6}:{(202,1),(203,1),(214,1),(229,1)}
      216:{2,5}:{(204,1),(223,1)}
      217:{4,6}:{(205,1),(207,1),(223,1)}
      218:{2,3,6}:{(206,1),(208,1),(212,1),(224,1)}
      219:{3,4}:{(207,1),(208,1),(226,1)}
      220:{1,2,3,5}:{(208,1),(209,1),(211,1),(213,1),(225,1),(226,1),(229,1)}
      221:{1,2,6}:{(210,1),(211,1),(214,1)}
      222:{1,3,6}:{(212,1),(213,1),(214,1)}
      223:{4,5}:{(216,1),(217,1),(227,1)}
      224:{3,4,6}:{(217,1),(218,1),(219,1),(227,1),(228,1)}
      225:{1,2,3,6}:{(218,1),(220,1),(221,1),(222,1),(228,1)}
      226:{1,4}:{(219,1),(220,1)}
      227:{3,5}:{(223,1),(224,1),(229,1)}
      228:{1,4,6}:{(224,1),(225,1),(226,1),(229,1)}
      229:{1,5}:{(227,1),(228,1)}

293 :  0:{1,2,3,6}:{(2,1),(3,1),(4,1),(33,1),(34,1),(38,1),(52,1)}
       1:{1,2,4,6}:{(3,1),(4,1),(5,1),(12,1),(18,1),(19,1),(33,1),(41,1),(51,1),(52,1),(58,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(8,1),(10,1),(21,1),(22,1),(23,1),(27,1),(46,1),(56,1),(59,1)}
       3:{1,4,6}:{(0,1),(6,1),(7,1),(8,1)}
       4:{2,3,6}:{(1,1),(7,1),(10,1),(21,1),(29,1),(45,1),(59,1)}
       5:{1,2,5}:{(1,1),(8,1),(9,1),(10,1),(46,1),(50,1),(55,1)}
       6:{1,4}:{(2,1),(13,1),(19,1)}
       7:{3,4,6}:{(3,1),(4,1),(13,1),(15,1),(19,1),(34,1),(36,1),(51,1)}
       8:{1,5}:{(3,1),(15,1)}
       9:{1,4,5}:{(5,1),(17,1),(18,1),(19,1),(37,1),(42,1),(53,1),(58,1)}
      10:{2,3,5}:{(4,1),(5,1),(15,1),(17,1),(19,1),(35,1),(39,1)}
      11:{1,2,5,6}:{(5,1),(16,1),(18,1),(20,1),(33,1),(52,1),(53,1)}
      12:{1,2,4}:{(6,1),(21,1),(22,1),(30,1),(43,1),(46,1)}
      13:{3,4}:{(6,1),(21,1),(23,1),(43,1),(59,1)}
      14:{1,4,5}:{(6,1),(8,1),(22,1),(23,1),(24,1),(25,1),(43,1),(55,1)}
      15:{3,5}:{(7,1),(8,1),(25,1),(55,1)}
      16:{1,5,6}:{(8,1),(24,1),(26,1),(55,1)}
      17:{3,5}:{(9,1),(28,1),(29,1),(59,1)}
      18:{1,4,6}:{(9,1),(11,1),(29,1),(31,1)}
      19:{4}:{(10,1)}
      20:{2,3,5,6}:{(10,1),(11,1),(26,1),(29,1),(31,1),(44,1),(45,1),(48,1),(49,1),(50,1),(55,1)}
      21:{2,3}:{(12,1),(13,1)}
      22:{1,2,5}:{(12,1),(14,1),(32,1),(33,1),(35,1)}
      23:{3,5}:{(13,1),(14,1),(34,1)}
      24:{1,4,6}:{(14,1),(16,1),(33,1),(34,1),(36,1),(51,1)}
      25:{4,5}:{(15,1),(19,1),(35,1),(36,1)}
      26:{3,5,6}:{(15,1),(16,1),(34,1),(36,1)}
      27:{1,3,5}:{(17,1),(37,1),(38,1),(53,1)}
      28:{3,4}:{(17,1),(19,1),(37,1),(39,1)}
      29:{3,6}:{(17,1),(18,1)}
      30:{2,4}:{(19,1),(35,1),(39,1)}
      31:{4,6}:{(19,1),(20,1),(42,1)}
      32:{2,3,5}:{(21,1),(22,1),(23,1),(43,1),(44,1),(55,1)}
      33:{1,2,6}:{(22,1),(24,1),(44,1),(45,1)}
      34:{3,6}:{(23,1),(24,1)}
      35:{2,5}:{(25,1),(30,1),(45,1)}
      36:{4,6}:{(25,1),(26,1),(45,1)}
      37:{1,4}:{(27,1),(28,1),(46,1)}
      38:{1,3,6}:{(27,1),(29,1),(47,1),(59,1)}
      39:{2,3}:{(28,1),(30,1),(46,1)}
      40:{3,4,6}:{(28,1),(29,1),(31,1),(47,1),(48,1),(49,1),(57,1),(59,1)}
      41:{2,4,6}:{(30,1),(31,1),(45,1),(48,1),(50,1),(57,1)}
      42:{4,5}:{(31,1),(49,1),(50,1),(55,1),(57,1)}
      43:{4}:{(32,1)}
      44:{2,3,6}:{(32,1),(33,1),(34,1),(51,1)}
      45:{2,6}:{(35,1),(36,1)}
      46:{1,2}:{(37,1),(39,1)}
      47:{1,4,6}:{(37,1),(38,1),(40,1),(52,1),(53,1),(58,1)}
      48:{2,3,6}:{(39,1),(40,1),(41,1),(52,1),(54,1)}
      49:{3,5}:{(40,1),(42,1),(53,1)}
      50:{2,5}:{(41,1),(42,1)}
      51:{4,6}:{(43,1),(44,1),(55,1)}
      52:{1,2,6}:{(46,1),(47,1),(48,1),(56,1)}
      53:{1,5}:{(47,1),(49,1)}
      54:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      55:{5}:{(51,1)}
      56:{1,2,5}:{(52,1),(53,1),(54,1),(58,1)}
      57:{4}:{(54,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

294 :  0:{4,5,6}:{(3,1),(4,1),(21,1),(72,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(32,1),(46,1),(52,1),(64,1),(67,1)}
       2:{2,4,5}:{(8,1),(9,1),(32,1)}
       3:{2,5,6}:{(0,1),(8,1),(77,1)}
       4:{3,5,6}:{(0,1),(5,1),(11,1),(64,1)}
       5:{3,4,6}:{(1,1),(4,1),(13,1),(14,1),(21,1),(42,1)}
       6:{2,3,5}:{(1,1),(13,1),(15,1),(16,1),(37,1),(38,1)}
       7:{1,4,5}:{(1,1),(12,1),(14,1),(15,1),(35,1),(56,1)}
       8:{2,4,6}:{(2,1),(3,1),(17,1),(21,1),(74,1)}
       9:{2,3,5}:{(2,1),(17,1),(18,1),(19,1),(40,1)}
      10:{2,3,5,6}:{(3,1),(4,1),(13,1),(17,1),(20,1),(21,1),(37,1),(40,1),(42,1),(59,1)}
      11:{1,5,6}:{(4,1),(14,1),(56,1)}
      12:{1,3,5}:{(7,1),(22,1),(23,1),(52,1)}
      13:{2,3,6}:{(5,1),(6,1),(25,1),(26,1)}
      14:{1,4,6}:{(5,1),(7,1),(11,1),(23,1),(25,1)}
      15:{1,2,5}:{(6,1),(7,1),(25,1),(27,1)}
      16:{2,4}:{(6,1),(67,1)}
      17:{2,3,6}:{(8,1),(9,1),(28,1),(29,1),(69,1)}
      18:{1,2,5}:{(9,1),(28,1),(30,1),(51,1)}
      19:{3,4}:{(9,1),(30,1)}
      20:{1,2,5,6}:{(10,1),(11,1),(25,1),(28,1),(31,1),(49,1),(51,1)}
      21:{4,6}:{(10,1),(32,1),(67,1)}
      22:{1,3,4}:{(12,1),(33,1),(35,1),(61,1)}
      23:{1,3,6}:{(12,1),(14,1),(42,1)}
      24:{1,2,3,5}:{(12,1),(15,1),(33,1),(34,1),(35,1),(38,1),(54,1),(56,1),(57,1),(59,1)}
      25:{1,2,6}:{(13,1),(14,1),(15,1)}
      26:{2,4,6}:{(13,1),(16,1),(21,1),(37,1)}
      27:{1,2,4}:{(15,1),(16,1),(35,1),(38,1)}
      28:{1,2,6}:{(17,1),(18,1),(39,1),(75,1)}
      29:{3,4,6}:{(17,1),(19,1),(21,1),(39,1),(40,1),(42,1),(61,1)}
      30:{1,4}:{(18,1),(19,1),(41,1)}
      31:{1,4,6}:{(20,1),(21,1),(42,1),(43,1)}
      32:{4,5}:{(21,1),(37,1),(40,1)}
      33:{1,2,3}:{(22,1),(44,1),(69,1)}
      34:{1,2,3,6}:{(23,1),(24,1),(25,1),(45,1),(48,1),(63,1),(66,1)}
      35:{1,4}:{(24,1),(46,1),(67,1)}
      36:{1,2,4,6}:{(25,1),(26,1),(27,1),(31,1),(45,1),(48,1),(49,1),(67,1)}
      37:{2,5}:{(26,1),(32,1)}
      38:{2,3}:{(27,1),(46,1)}
      39:{1,4,6}:{(28,1),(29,1),(30,1),(50,1),(51,1),(68,1)}
      40:{3,5}:{(29,1),(32,1),(51,1)}
      41:{1,3}:{(30,1)}
      42:{3,6}:{(31,1),(52,1)}
      43:{1,4,5}:{(31,1),(32,1),(49,1),(51,1),(52,1),(67,1),(68,1)}
      44:{1,2,4}:{(33,1),(35,1),(53,1),(54,1),(74,1)}
      45:{1,4,6}:{(34,1),(35,1),(55,1),(56,1)}
      46:{3,4}:{(35,1),(38,1),(57,1)}
      47:{1,4,5}:{(35,1),(54,1),(56,1),(57,1),(58,1),(70,1),(72,1)}
      48:{2,3,6}:{(36,1),(38,1),(42,1),(55,1),(59,1),(80,1)}
      49:{1,2,5}:{(36,1),(37,1),(43,1),(56,1),(59,1),(75,1)}
      50:{1,3,6}:{(39,1),(41,1),(42,1),(60,1)}
      51:{1,5}:{(39,1),(40,1)}
      52:{3,5}:{(42,1),(43,1),(61,1)}
      53:{2,3,4}:{(44,1),(46,1),(62,1)}
      54:{1,2,5}:{(44,1),(47,1),(62,1),(63,1),(77,1)}
      55:{3,4,6}:{(45,1),(46,1),(48,1),(64,1),(66,1),(67,1),(78,1)}
      56:{1,5}:{(45,1),(64,1)}
      57:{3,5}:{(46,1),(47,1),(66,1)}
      58:{1,4,6}:{(47,1),(63,1),(65,1),(66,1),(76,1),(78,1)}
      59:{2,3,5}:{(48,1),(49,1),(52,1),(64,1),(67,1),(69,1),(77,1)}
      60:{1,3,5}:{(50,1),(51,1),(52,1),(68,1)}
      61:{3,4}:{(52,1),(67,1),(68,1),(69,1)}
      62:{2,3,5}:{(53,1),(54,1),(57,1),(70,1),(71,1)}
      63:{1,2,6}:{(54,1),(58,1),(71,1),(80,1)}
      64:{3,5}:{(55,1),(56,1),(72,1)}
      65:{1,5,6}:{(56,1),(58,1),(73,1),(79,1)}
      66:{3,6}:{(57,1),(58,1)}
      67:{4}:{(59,1)}
      68:{1,4}:{(60,1),(61,1),(75,1)}
      69:{2,3}:{(61,1),(74,1),(75,1)}
      70:{4,5}:{(62,1),(76,1)}
      71:{2,3,6}:{(62,1),(63,1),(66,1),(76,1)}
      72:{4,5}:{(64,1),(67,1),(77,1),(78,1)}
      73:{3,5,6}:{(64,1),(65,1),(66,1),(78,1)}
      74:{2,4}:{(67,1),(69,1),(77,1)}
      75:{1,2}:{(68,1),(69,1)}
      76:{4,6}:{(70,1),(71,1),(79,1)}
      77:{2,5}:{(72,1),(74,1),(80,1)}
      78:{4,6}:{(72,1),(73,1),(80,1)}
      79:{5,6}:{(76,1)}
      80:{2,6}:{(77,1),(78,1)}

295 :  0:{2,3,4}:{(1,1),(2,1),(21,1)}
       1:{1,2,4}:{(0,1),(4,1),(5,1),(16,1),(60,1)}
       2:{2,3,5}:{(0,1),(3,1),(5,1),(6,1),(14,1)}
       3:{4,5}:{(2,1),(9,1)}
       4:{1,2,3}:{(1,1),(7,1),(67,1)}
       5:{1,2,5}:{(1,1),(2,1),(8,1),(11,1),(53,1)}
       6:{2,3,6}:{(2,1),(9,1),(11,1),(22,1)}
       7:{1,3,4}:{(4,1),(12,1),(16,1),(61,1)}
       8:{1,4,5}:{(3,1),(5,1),(14,1),(15,1),(16,1),(32,1),(46,1)}
       9:{4,6}:{(3,1),(6,1),(13,1)}
      10:{1,2,3,5}:{(4,1),(5,1),(12,1),(14,1),(16,1),(17,1),(26,1),(29,1),(32,1),(47,1)}
      11:{1,2,6}:{(5,1),(6,1),(15,1),(45,1)}
      12:{1,3,5}:{(7,1),(18,1),(19,1),(55,1)}
      13:{5,6}:{(9,1)}
      14:{3,5}:{(8,1),(21,1),(22,1)}
      15:{1,4,6}:{(8,1),(9,1),(11,1),(20,1),(22,1),(37,1)}
      16:{1,4}:{(10,1),(21,1),(54,1)}
      17:{1,2,3,6}:{(10,1),(11,1),(19,1),(22,1),(24,1),(35,1),(38,1)}
      18:{1,4,5}:{(12,1),(16,1),(25,1),(26,1),(27,1),(32,1)}
      19:{1,3,6}:{(12,1),(27,1),(59,1)}
      20:{1,5,6}:{(13,1),(15,1),(28,1),(32,1)}
      21:{3,4}:{(14,1),(16,1),(29,1)}
      22:{3,6}:{(14,1),(15,1)}
      23:{1,2,4}:{(16,1),(26,1),(29,1),(41,1)}
      24:{1,4,6}:{(16,1),(17,1),(30,1),(32,1)}
      25:{3,4,5}:{(18,1),(21,1),(33,1),(34,1),(39,1),(54,1),(55,1),(63,1)}
      26:{1,2,5}:{(18,1),(23,1),(33,1),(35,1)}
      27:{1,4,6}:{(18,1),(19,1),(34,1),(35,1),(36,1)}
      28:{3,5,6}:{(20,1),(22,1),(37,1),(39,1)}
      29:{2,3}:{(21,1),(23,1)}
      30:{3,4,6}:{(21,1),(22,1),(24,1),(37,1),(38,1),(39,1),(54,1)}
      31:{1,2,4,6}:{(23,1),(24,1),(35,1),(38,1),(40,1),(49,1),(52,1),(54,1)}
      32:{1,5}:{(24,1),(39,1)}
      33:{2,3,5}:{(25,1),(26,1),(29,1),(41,1),(42,1),(56,1)}
      34:{3,4,6}:{(25,1),(27,1),(42,1),(43,1),(58,1),(59,1)}
      35:{1,2,6}:{(26,1),(27,1),(42,1)}
      36:{1,5,6}:{(27,1),(32,1),(43,1)}
      37:{4,6}:{(28,1),(45,1),(46,1)}
      38:{2,3,6}:{(29,1),(30,1),(31,1),(45,1),(47,1),(59,1)}
      39:{3,5}:{(30,1),(32,1),(46,1)}
      40:{1,2,5}:{(31,1),(32,1),(47,1),(48,1),(56,1),(73,1)}
      41:{2,4}:{(33,1),(54,1)}
      42:{2,3,6}:{(33,1),(34,1),(35,1),(49,1)}
      43:{3,5,6}:{(34,1),(36,1),(39,1),(50,1)}
      44:{1,2,5,6}:{(35,1),(36,1),(40,1),(51,1),(52,1),(75,1),(76,1)}
      45:{2,6}:{(37,1),(53,1)}
      46:{4,5}:{(37,1),(39,1),(53,1),(54,1)}
      47:{2,3,5}:{(38,1),(39,1),(40,1),(53,1),(54,1),(55,1),(67,1)}
      48:{1,4,5}:{(40,1),(52,1),(54,1),(55,1),(63,1),(68,1),(75,1)}
      49:{2,4,6}:{(41,1),(42,1),(56,1),(58,1)}
      50:{4,5,6}:{(43,1),(46,1),(57,1),(58,1)}
      51:{2,3,5,6}:{(42,1),(43,1),(44,1),(47,1),(56,1),(57,1),(58,1),(59,1),(70,1),(71,1)}
      52:{1,4,6}:{(44,1),(48,1),(58,1),(59,1)}
      53:{2,5}:{(45,1),(46,1),(60,1)}
      54:{4}:{(47,1)}
      55:{3,5}:{(48,1),(59,1),(61,1)}
      56:{2,5}:{(49,1),(63,1)}
      57:{2,5,6}:{(50,1),(53,1),(64,1)}
      58:{4,6}:{(51,1),(54,1),(63,1)}
      59:{3,6}:{(52,1),(55,1)}
      60:{2,4}:{(53,1),(54,1),(67,1)}
      61:{3,4}:{(54,1),(55,1),(67,1),(68,1)}
      62:{1,3,5}:{(55,1),(66,1),(68,1),(75,1)}
      63:{4,5}:{(56,1),(58,1),(70,1)}
      64:{2,4,6}:{(57,1),(58,1),(60,1),(69,1),(71,1)}
      65:{3,4,6}:{(58,1),(59,1),(61,1),(70,1),(71,1),(72,1),(77,1)}
      66:{1,3,6}:{(59,1),(62,1),(72,1),(80,1)}
      67:{2,3}:{(60,1),(61,1),(73,1)}
      68:{1,4}:{(61,1),(62,1),(73,1)}
      69:{2,4,5}:{(63,1),(64,1),(74,1)}
      70:{3,5}:{(63,1),(65,1),(75,1)}
      71:{2,3,6}:{(64,1),(65,1),(67,1),(74,1),(76,1)}
      72:{1,4,6}:{(65,1),(66,1),(68,1),(75,1),(76,1),(79,1)}
      73:{1,2}:{(67,1),(68,1)}
      74:{2,3,5}:{(69,1),(70,1),(71,1),(77,1),(78,1)}
      75:{1,5}:{(70,1),(72,1)}
      76:{1,2,6}:{(71,1),(72,1),(73,1),(78,1)}
      77:{3,4}:{(74,1),(79,1)}
      78:{1,2,5}:{(74,1),(75,1),(76,1),(79,1)}
      79:{1,4}:{(77,1),(78,1),(80,1)}
      80:{1,3}:{(79,1)}

296 :  0:{1,2,3}:{(4,1),(5,1),(55,1),(60,1)}
       1:{1,2,4}:{(4,1),(5,1),(6,1),(22,1),(44,1),(51,1),(55,1)}
       2:{1,4,5}:{(6,1),(7,1),(8,1),(18,1),(22,1),(27,1),(38,1),(42,1),(51,1)}
       3:{1,5,6}:{(8,1),(9,1),(38,1),(42,1)}
       4:{1,4}:{(0,1),(11,1),(12,1)}
       5:{2,3}:{(1,1),(11,1),(56,1)}
       6:{1,2,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(28,1),(36,1)}
       7:{3,5}:{(2,1),(15,1),(16,1),(56,1)}
       8:{1,4,6}:{(2,1),(3,1),(14,1),(16,1),(17,1),(33,1)}
       9:{3,5,6}:{(3,1),(16,1),(17,1),(35,1)}
      10:{1,3,5}:{(7,1),(18,1),(19,1),(38,1)}
      11:{3,4}:{(4,1),(5,1),(20,1),(22,1)}
      12:{1,5}:{(4,1),(20,1),(21,1)}
      13:{2,3,5}:{(5,1),(6,1),(7,1),(20,1),(22,1),(23,1),(24,1),(39,1),(42,1)}
      14:{1,2,6}:{(6,1),(8,1),(21,1),(23,1),(26,1)}
      15:{3,4}:{(7,1),(18,1),(22,1),(24,1)}
      16:{3,6}:{(7,1),(8,1)}
      17:{4,6}:{(9,1),(26,1),(27,1)}
      18:{1,4}:{(10,1),(15,1),(28,1)}
      19:{1,3,6}:{(10,1),(16,1),(29,1),(56,1)}
      20:{3,5}:{(11,1),(12,1),(30,1),(31,1)}
      21:{1,6}:{(12,1),(31,1)}
      22:{4}:{(13,1)}
      23:{2,3,6}:{(13,1),(14,1),(16,1),(31,1),(33,1),(46,1)}
      24:{2,3}:{(15,1),(28,1),(32,1)}
      25:{3,4,6}:{(15,1),(16,1),(17,1),(29,1),(33,1),(34,1),(35,1),(49,1),(56,1)}
      26:{2,6}:{(17,1),(36,1)}
      27:{4,5}:{(17,1),(35,1),(36,1),(49,1)}
      28:{1,2}:{(18,1),(24,1)}
      29:{1,4,6}:{(18,1),(19,1),(25,1),(37,1),(38,1),(51,1)}
      30:{4,5}:{(20,1),(22,1),(39,1),(40,1),(42,1)}
      31:{3,6}:{(20,1),(21,1),(40,1)}
      32:{2,4}:{(22,1),(24,1),(39,1)}
      33:{4,6}:{(22,1),(23,1),(42,1)}
      34:{2,3,6}:{(24,1),(25,1),(26,1),(37,1),(41,1),(43,1),(61,1)}
      35:{3,5}:{(25,1),(27,1),(38,1),(42,1)}
      36:{2,5}:{(26,1),(27,1),(44,1)}
      37:{1,2,6}:{(28,1),(29,1),(34,1),(45,1),(63,1)}
      38:{1,5}:{(29,1),(35,1)}
      39:{2,5}:{(30,1),(32,1),(46,1)}
      40:{4,6}:{(30,1),(31,1),(46,1),(47,1)}
      41:{2,4,6}:{(32,1),(33,1),(34,1),(46,1),(48,1),(49,1),(57,1)}
      42:{5}:{(33,1)}
      43:{2,3,5}:{(34,1),(35,1),(36,1),(45,1),(48,1),(49,1),(50,1),(56,1),(58,1)}
      44:{2,4}:{(36,1),(49,1),(50,1)}
      45:{1,2,5}:{(37,1),(38,1),(43,1),(51,1),(55,1),(62,1)}
      46:{2,6}:{(39,1),(40,1)}
      47:{5,6}:{(40,1),(42,1)}
      48:{2,5}:{(41,1),(42,1),(53,1)}
      49:{4}:{(43,1)}
      50:{2,3}:{(44,1),(54,1),(55,1)}
      51:{1,4}:{(45,1),(49,1),(56,1)}
      52:{2,5,6}:{(46,1),(47,1),(48,1),(57,1)}
      53:{4,5}:{(48,1),(49,1),(57,1),(58,1)}
      54:{3,4}:{(49,1),(50,1),(56,1),(58,1),(59,1)}
      55:{1,2}:{(50,1),(59,1)}
      56:{3}:{(51,1)}
      57:{4,6}:{(52,1),(53,1),(61,1)}
      58:{3,5}:{(53,1),(54,1),(61,1),(62,1)}
      59:{1,4}:{(54,1),(55,1),(60,1),(62,1)}
      60:{1,3}:{(56,1),(59,1)}
      61:{3,6}:{(57,1),(58,1),(63,1)}
      62:{1,5}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

297 :  0:{1,2,3,4,6}:{(1,1),(4,1),(14,1),(17,1),(30,1),(44,1),(53,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(10,1),(38,1),(52,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(12,1),(13,1),(14,1)}
       3:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       4:{1,4,6}:{(2,1),(3,1),(9,1)}
       5:{1,2,4,5}:{(3,1),(8,1),(10,1),(24,1),(37,1),(38,1)}
       6:{3,4,5}:{(3,1),(9,1),(10,1),(37,1),(52,1),(58,1)}
       7:{1,4,5,6}:{(4,1),(12,1),(13,1),(29,1),(45,1)}
       8:{1,2,4,6}:{(4,1),(5,1),(12,1),(14,1),(29,1)}
       9:{3,4,6}:{(4,1),(6,1),(13,1),(14,1),(29,1)}
      10:{2,3,5}:{(5,1),(6,1),(14,1),(17,1)}
      11:{1,3,4,5}:{(6,1),(15,1),(16,1),(45,1),(55,1),(59,1)}
      12:{1,2,5,6}:{(7,1),(8,1),(20,1),(38,1)}
      13:{3,5,6}:{(7,1),(9,1),(52,1)}
      14:{2,3,6}:{(8,1),(9,1),(10,1)}
      15:{1,3,4,6}:{(9,1),(11,1),(21,1),(22,1),(36,1)}
      16:{1,2,3,5}:{(10,1),(11,1),(22,1),(24,1),(38,1)}
      17:{2,3,4}:{(10,1),(24,1),(58,1)}
      18:{1,2,4,5,6}:{(12,1),(25,1),(29,1),(40,1),(42,1),(43,1),(45,1),(54,1)}
      19:{3,4,5,6}:{(13,1),(26,1),(27,1),(29,1),(41,1),(44,1)}
      20:{2,3,5,6}:{(12,1),(13,1),(14,1),(29,1),(31,1)}
      21:{1,3,5,6}:{(13,1),(15,1),(27,1),(55,1)}
      22:{1,2,3,6}:{(14,1),(15,1),(16,1),(30,1)}
      23:{2,3,4,6}:{(14,1),(17,1),(29,1),(30,1),(31,1),(44,1)}
      24:{1,2,4}:{(16,1),(17,1),(59,1)}
      25:{2,3,5,6}:{(18,1),(33,1),(47,1),(50,1),(52,1)}
      26:{2,3,5,6}:{(19,1),(34,1),(35,1),(47,1),(50,1)}
      27:{1,4,5,6}:{(19,1),(21,1),(34,1),(36,1),(49,1)}
      28:{1,2,3,5,6}:{(20,1),(21,1),(22,1),(34,1),(36,1),(38,1),(50,1),(52,1),(57,1)}
      29:{4,6}:{(20,1),(37,1)}
      30:{1,2,4,6}:{(22,1),(23,1),(24,1),(36,1),(38,1)}
      31:{2,3,5}:{(23,1),(37,1),(38,1),(52,1)}
      32:{1,2,3,5,6}:{(25,1),(40,1),(53,1),(54,1),(55,1)}
      33:{3,4,6}:{(25,1),(29,1),(40,1),(41,1)}
      34:{1,2,5,6}:{(26,1),(27,1),(42,1),(54,1)}
      35:{2,4,6}:{(26,1),(29,1),(43,1)}
      36:{1,4,6}:{(28,1),(29,1),(44,1),(45,1),(59,1)}
      37:{4,5}:{(29,1),(31,1)}
      38:{1,2,5}:{(30,1),(31,1),(45,1)}
      39:{2,3,4,6}:{(33,1),(35,1),(46,1),(47,1),(50,1),(58,1)}
      40:{1,4,6}:{(32,1),(33,1),(49,1)}
      41:{3,4,5}:{(33,1),(37,1),(47,1),(49,1),(52,1),(58,1)}
      42:{1,2,4,6}:{(34,1),(35,1),(36,1),(50,1),(51,1)}
      43:{2,4,5}:{(35,1),(37,1),(47,1)}
      44:{3,4,6}:{(36,1),(50,1),(52,1),(58,1)}
      45:{1,4,5}:{(36,1),(37,1),(38,1),(52,1)}
      46:{1,2,4,6}:{(39,1),(40,1),(53,1),(54,1),(59,1)}
      47:{2,3,5}:{(39,1),(41,1),(43,1),(54,1)}
      48:{1,3,4,6}:{(40,1),(44,1),(53,1),(55,1),(59,1)}
      49:{1,4,5}:{(40,1),(41,1),(54,1),(55,1),(59,1)}
      50:{2,3,6}:{(42,1),(44,1),(56,1)}
      51:{1,2,4,5}:{(42,1),(43,1),(45,1),(54,1),(56,1),(59,1)}
      52:{3,5}:{(44,1),(45,1)}
      53:{1,2,3,6}:{(46,1),(48,1),(50,1),(57,1)}
      54:{1,2,5}:{(46,1),(47,1),(49,1)}
      55:{1,3,5}:{(48,1),(49,1),(52,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{3,4}:{(56,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

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

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

300 :  0:{1,2,3,4}:{(1,1),(14,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1),(8,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1)}
       3:{1,2,3,6}:{(1,1),(6,1),(15,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(36,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(18,1),(32,1),(36,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(11,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(40,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(29,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(29,1)}
      11:{1,5,6}:{(6,1),(16,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(18,1),(19,1),(32,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(19,1),(20,1),(33,1),(74,1)}
      14:{2,3,4}:{(8,1),(18,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(23,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(22,1),(24,1),(32,1),(55,1)}
      18:{1,2,4}:{(12,1),(14,1)}
      19:{1,2,3,6}:{(12,1),(13,1),(15,1),(25,1),(73,1)}
      20:{1,3,5,6}:{(13,1),(16,1),(27,1),(78,1)}
      21:{2,3,4,6}:{(14,1),(15,1),(25,1),(28,1),(29,1),(42,1),(46,1),(62,1)}
      22:{2,3,5,6}:{(15,1),(16,1),(17,1),(28,1),(29,1),(30,1),(31,1),(46,1)}
      23:{4,5,6}:{(16,1),(29,1),(30,1)}
      24:{1,4,5,6}:{(17,1),(29,1),(31,1),(40,1),(47,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(32,1),(33,1),(55,1),(68,1)}
      26:{1,2,3,5,6}:{(19,1),(20,1),(22,1),(32,1),(33,1),(34,1),(39,1),(49,1),(50,1),(55,1),(63,1)}
      27:{1,4,5,6}:{(20,1),(23,1),(33,1),(34,1),(35,1),(75,1)}
      28:{2,3,5}:{(21,1),(32,1),(36,1),(49,1)}
      29:{4,6}:{(22,1),(36,1)}
      30:{2,5,6}:{(23,1),(37,1)}
      31:{3,5,6}:{(24,1),(38,1),(49,1)}
      32:{1,2,5}:{(25,1),(28,1),(40,1)}
      33:{1,4,6}:{(26,1),(29,1),(40,1),(42,1),(69,1)}
      34:{1,2,5,6}:{(27,1),(30,1),(41,1),(43,1),(71,1)}
      35:{3,4,5,6}:{(27,1),(42,1),(43,1),(70,1)}
      36:{4,5}:{(28,1),(29,1)}
      37:{2,4,6}:{(29,1),(30,1),(44,1),(46,1)}
      38:{3,4,6}:{(29,1),(31,1),(45,1),(46,1),(47,1)}
      39:{1,3,5,6}:{(31,1),(47,1),(57,1)}
      40:{1,4,5}:{(32,1),(33,1),(36,1),(49,1)}
      41:{1,2,4,6}:{(33,1),(34,1),(37,1),(48,1),(50,1),(52,1),(55,1)}
      42:{3,4,6}:{(33,1),(49,1),(50,1),(64,1)}
      43:{2,3,5,6}:{(34,1),(35,1),(50,1),(52,1),(66,1)}
      44:{2,4,5}:{(36,1),(37,1),(53,1)}
      45:{3,4,5}:{(36,1),(38,1),(49,1),(53,1),(54,1),(64,1)}
      46:{2,3,6}:{(37,1),(38,1),(53,1),(55,1)}
      47:{1,4,6}:{(38,1),(39,1),(54,1),(55,1)}
      48:{1,2,4,5}:{(40,1),(41,1),(44,1),(56,1),(60,1),(61,1),(69,1),(71,1)}
      49:{3,5}:{(40,1),(42,1)}
      50:{2,3,6}:{(41,1),(42,1),(56,1)}
      51:{1,3,4,6}:{(42,1),(47,1),(57,1),(58,1),(69,1)}
      52:{2,4,6}:{(43,1),(60,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(61,1),(62,1)}
      54:{1,4,5}:{(45,1),(47,1),(57,1),(61,1),(69,1)}
      55:{1,2,6}:{(46,1),(47,1),(61,1)}
      56:{2,3,5}:{(48,1),(49,1),(50,1),(64,1)}
      57:{1,3,5}:{(49,1),(51,1),(54,1)}
      58:{1,2,3,6}:{(50,1),(51,1),(55,1),(63,1),(65,1),(80,1)}
      59:{2,3,4,6}:{(50,1),(52,1),(64,1),(65,1),(66,1),(76,1)}
      60:{2,4,5}:{(52,1),(66,1)}
      61:{1,2,5}:{(53,1),(54,1),(55,1),(68,1)}
      62:{2,3,4}:{(53,1),(64,1),(68,1)}
      63:{1,2,3,5}:{(56,1),(57,1),(58,1),(61,1),(69,1),(71,1),(73,1),(78,1)}
      64:{3,4}:{(56,1),(69,1)}
      65:{1,2,4,6}:{(58,1),(59,1),(69,1),(71,1),(79,1)}
      66:{2,3,5}:{(59,1),(60,1),(70,1),(71,1)}
      67:{2,4,5,6}:{(60,1),(72,1)}
      68:{1,2,4}:{(61,1),(62,1),(69,1),(73,1)}
      69:{1,4}:{(63,1),(64,1)}
      70:{3,4,5}:{(64,1),(66,1),(75,1),(76,1)}
      71:{1,2,5}:{(65,1),(66,1),(75,1)}
      72:{2,3,5,6}:{(66,1),(67,1),(76,1),(77,1)}
      73:{1,2,3}:{(68,1),(74,1)}
      74:{1,3,4}:{(69,1),(73,1),(78,1)}
      75:{1,4,5}:{(69,1),(70,1),(71,1),(78,1),(79,1)}
      76:{3,4,6}:{(70,1),(72,1),(79,1)}
      77:{1,2,5,6}:{(71,1),(72,1),(79,1)}
      78:{1,3,5}:{(74,1),(75,1),(80,1)}
      79:{1,4,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

301 :  0:{1,2,4,6}:{(2,1),(3,1),(5,1),(12,1),(15,1),(18,1),(34,1),(42,1),(51,1),(54,1),(58,1)}
       1:{1,2,5,6}:{(3,1),(4,1),(5,1),(32,1),(41,1),(42,1),(51,1)}
       2:{2,3,6}:{(0,1),(7,1),(8,1),(11,1),(46,1),(47,1),(57,1)}
       3:{1,2,5}:{(0,1),(8,1),(9,1),(21,1),(28,1),(48,1),(59,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(10,1),(11,1),(23,1),(28,1),(29,1),(30,1),(47,1),(55,1),(59,1)}
       5:{1,4,6}:{(1,1),(9,1),(10,1),(11,1)}
       6:{1,2,3,6}:{(2,1),(12,1),(13,1),(20,1),(42,1),(51,1),(52,1)}
       7:{3,4,6}:{(2,1),(12,1),(14,1),(15,1),(35,1),(36,1),(52,1),(58,1)}
       8:{2,3,5}:{(2,1),(3,1),(14,1),(15,1),(16,1),(37,1),(38,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(16,1),(17,1),(39,1),(41,1),(54,1)}
      10:{4,6}:{(4,1),(15,1),(17,1)}
      11:{3,6}:{(5,1),(16,1)}
      12:{1,4,6}:{(6,1),(7,1),(21,1),(22,1)}
      13:{1,2,3,5}:{(6,1),(8,1),(21,1),(22,1),(27,1),(44,1),(45,1),(46,1),(48,1),(49,1),(57,1)}
      14:{3,5}:{(7,1),(21,1),(24,1),(59,1)}
      15:{4}:{(8,1)}
      16:{3,5}:{(9,1),(11,1),(26,1),(57,1)}
      17:{4,5}:{(10,1),(28,1),(29,1),(50,1),(59,1)}
      18:{2,4,6}:{(10,1),(25,1),(28,1),(30,1),(47,1),(50,1)}
      19:{3,4,6}:{(10,1),(11,1),(26,1),(29,1),(30,1),(31,1),(50,1),(57,1)}
      20:{1,3,6}:{(11,1),(27,1),(31,1),(57,1)}
      21:{1,5}:{(12,1),(14,1)}
      22:{1,4}:{(13,1),(15,1),(35,1)}
      23:{3,5,6}:{(14,1),(32,1),(36,1),(52,1)}
      24:{4,5}:{(14,1),(15,1),(36,1),(37,1)}
      25:{2,4}:{(15,1),(37,1),(38,1)}
      26:{3,4}:{(15,1),(16,1),(38,1),(39,1)}
      27:{1,3,5}:{(16,1),(20,1),(39,1),(41,1)}
      28:{2,5}:{(17,1),(18,1)}
      29:{3,5}:{(17,1),(19,1),(41,1)}
      30:{2,3,6}:{(18,1),(19,1),(38,1),(40,1),(42,1)}
      31:{1,4,6}:{(19,1),(20,1),(39,1),(41,1),(42,1),(54,1)}
      32:{1,5,6}:{(21,1),(23,1),(43,1),(59,1)}
      33:{1,4,5}:{(21,1),(22,1),(24,1),(43,1),(44,1),(45,1),(56,1),(59,1)}
      34:{1,2,4}:{(22,1),(25,1),(44,1),(46,1),(48,1),(56,1)}
      35:{3,4}:{(22,1),(45,1),(46,1),(56,1),(57,1)}
      36:{4,6}:{(23,1),(24,1),(47,1)}
      37:{2,5}:{(24,1),(25,1),(47,1)}
      38:{2,3}:{(25,1),(26,1),(48,1)}
      39:{1,4}:{(26,1),(27,1),(48,1)}
      40:{2,3,5}:{(28,1),(29,1),(30,1),(49,1),(50,1),(57,1)}
      41:{1,5}:{(29,1),(31,1)}
      42:{1,2,6}:{(30,1),(31,1),(48,1),(49,1)}
      43:{1,4,6}:{(32,1),(33,1),(36,1),(51,1),(52,1),(58,1)}
      44:{1,2,5}:{(33,1),(34,1),(37,1),(51,1),(53,1)}
      45:{3,5}:{(33,1),(35,1),(52,1)}
      46:{2,3}:{(34,1),(35,1)}
      47:{2,6}:{(36,1),(37,1)}
      48:{1,2}:{(38,1),(39,1)}
      49:{1,2,5}:{(40,1),(41,1),(42,1),(54,1)}
      50:{4}:{(40,1)}
      51:{1,2,6}:{(43,1),(44,1),(47,1),(55,1)}
      52:{3,6}:{(43,1),(45,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(55,1),(56,1),(59,1)}
      54:{1,4}:{(49,1),(50,1),(57,1)}
      55:{2,3,6}:{(51,1),(52,1),(53,1),(58,1)}
      56:{4}:{(53,1)}
      57:{3}:{(54,1)}
      58:{4,6}:{(55,1),(56,1),(59,1)}
      59:{5}:{(58,1)}

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

303 :   0:{1,4,5,6}:{(2,1),(3,1),(18,1),(20,1),(48,1),(144,1),(146,1),(154,1)}
        1:{1,3,4,6}:{(5,1),(6,1),(18,1),(23,1),(47,1),(155,1),(156,1),(158,1)}
        2:{1,2,5,6}:{(0,1),(7,1),(9,1),(29,1),(66,1),(69,1),(164,1)}
        3:{3,5,6}:{(0,1),(8,1),(71,1),(171,1)}
        4:{3,4,5}:{(8,1),(11,1),(12,1),(32,1),(36,1),(71,1),(123,1)}
        5:{1,3,5}:{(1,1),(12,1),(71,1),(181,1)}
        6:{1,2,3,6}:{(1,1),(13,1),(14,1),(29,1),(68,1),(81,1),(178,1)}
        7:{1,2,4,6}:{(2,1),(15,1),(16,1),(20,1),(43,1),(140,1),(142,1),(146,1)}
        8:{3,4,6}:{(3,1),(4,1),(17,1),(18,1),(20,1)}
        9:{2,3,5,6}:{(2,1),(3,1),(16,1),(17,1),(20,1),(44,1),(46,1),(95,1)}
       10:{1,3,5,6}:{(3,1),(5,1),(18,1),(154,1),(156,1)}
       11:{2,3,5}:{(4,1),(17,1),(21,1),(22,1),(46,1),(53,1)}
       12:{1,4,5}:{(4,1),(5,1),(18,1),(21,1),(23,1)}
       13:{1,2,3,5}:{(5,1),(6,1),(21,1),(23,1),(25,1),(53,1),(56,1),(95,1)}
       14:{1,2,4,6}:{(6,1),(23,1),(24,1),(25,1),(57,1),(157,1),(158,1),(159,1)}
       15:{1,2,4,5}:{(7,1),(26,1),(32,1),(61,1),(66,1),(69,1),(111,1),(113,1),(117,1),(123,1),(172,1)}
       16:{2,3,6}:{(7,1),(26,1),(28,1),(171,1)}
       17:{2,3,6}:{(8,1),(11,1),(29,1),(30,1)}
       18:{1,4,6}:{(8,1),(10,1),(12,1),(29,1)}
       19:{1,2,3,5,6}:{(9,1),(10,1),(13,1),(27,1),(29,1),(31,1),(39,1),(66,1),(68,1),(69,1),(71,1),(81,1),(119,1),(120,1),(122,1),(124,1),(131,1),(171,1),(174,1),(181,1)}
       20:{4,6}:{(9,1),(32,1),(123,1)}
       21:{1,2,5}:{(11,1),(12,1),(29,1),(34,1)}
       22:{2,4}:{(11,1),(123,1)}
       23:{1,4}:{(13,1),(36,1),(123,1)}
       24:{2,3,4,6}:{(14,1),(36,1),(38,1),(68,1),(81,1),(83,1),(123,1),(134,1),(135,1),(136,1),(175,1)}
       25:{1,2,5}:{(14,1),(37,1),(38,1),(181,1)}
       26:{2,3,5}:{(15,1),(16,1),(41,1),(44,1),(145,1),(190,1)}
       27:{1,2,3,6}:{(16,1),(40,1),(43,1),(142,1),(143,1)}
       28:{3,4,6}:{(16,1),(20,1),(41,1),(43,1),(44,1)}
       29:{1,2,6}:{(17,1),(18,1),(21,1)}
       30:{2,4,6}:{(17,1),(20,1),(22,1),(46,1)}
       31:{1,4,6}:{(19,1),(20,1),(23,1),(47,1),(48,1),(147,1),(152,1)}
       32:{4,5}:{(20,1),(44,1),(46,1)}
       33:{2,3,4}:{(22,1),(50,1),(51,1),(53,1),(105,1),(228,1),(229,1)}
       34:{1,2,4}:{(21,1),(22,1),(23,1),(53,1)}
       35:{2,4,5}:{(22,1),(46,1),(51,1),(55,1),(89,1),(227,1),(228,1)}
       36:{3,4}:{(23,1),(53,1),(56,1)}
       37:{1,4,5}:{(23,1),(25,1),(56,1),(57,1),(58,1)}
       38:{2,3,5}:{(24,1),(25,1),(56,1),(58,1),(162,1),(194,1)}
       39:{1,2,5,6}:{(25,1),(57,1),(59,1),(159,1),(160,1)}
       40:{1,2,3,5}:{(26,1),(27,1),(61,1),(66,1),(112,1),(113,1),(115,1)}
       41:{3,4}:{(26,1),(61,1),(123,1)}
       42:{2,3,4,6}:{(28,1),(30,1),(33,1),(60,1),(63,1),(64,1),(68,1),(76,1),(114,1),(118,1),(123,1),(135,1),(170,1),(171,1),(175,1),(202,1),(205,1),(221,1),(224,1)}
       43:{1,4,6}:{(27,1),(28,1),(61,1),(66,1)}
       44:{3,5}:{(28,1),(32,1),(66,1)}
       45:{1,2,4,6}:{(29,1),(30,1),(31,1),(34,1),(68,1),(69,1),(123,1),(172,1),(174,1),(175,1)}
       46:{2,5}:{(30,1),(32,1)}
       47:{3,4,6}:{(31,1),(36,1),(68,1),(71,1),(81,1),(123,1),(170,1),(171,1)}
       48:{1,4,5}:{(31,1),(32,1),(66,1),(69,1),(71,1),(123,1),(176,1),(181,1)}
       49:{4,5,6}:{(32,1),(67,1),(70,1),(118,1),(222,1)}
       50:{1,2,4}:{(33,1),(74,1),(75,1),(130,1)}
       51:{2,3,5}:{(33,1),(35,1),(73,1),(75,1),(76,1)}
       52:{1,3,4}:{(36,1),(74,1),(77,1),(130,1),(226,1)}
       53:{2,3}:{(34,1),(36,1)}
       54:{1,2,4,5}:{(34,1),(35,1),(37,1),(69,1),(75,1),(78,1),(79,1),(82,1),(117,1),(123,1),(130,1),(132,1),(172,1),(176,1),(181,1),(207,1),(211,1),(224,1),(225,1)}
       55:{2,4,6}:{(35,1),(70,1),(76,1),(118,1)}
       56:{3,5}:{(36,1),(37,1),(81,1)}
       57:{1,4,6}:{(37,1),(39,1),(81,1),(83,1)}
       58:{4,5}:{(38,1),(83,1),(123,1)}
       59:{2,3,5,6}:{(38,1),(39,1),(81,1),(83,1),(136,1),(137,1),(138,1)}
       60:{2,3,4}:{(41,1),(84,1),(85,1),(151,1),(186,1),(190,1)}
       61:{1,4}:{(40,1),(41,1)}
       62:{3,4,5}:{(41,1),(44,1),(85,1),(87,1),(88,1),(89,1),(145,1),(186,1),(214,1)}
       63:{1,2,4,6}:{(42,1),(43,1),(50,1),(84,1),(90,1),(91,1),(102,1),(142,1),(146,1),(147,1),(158,1),(188,1)}
       64:{2,3,5}:{(42,1),(44,1),(46,1),(89,1),(91,1),(145,1),(162,1),(194,1),(214,1),(227,1)}
       65:{1,3,4,6}:{(43,1),(47,1),(52,1),(86,1),(90,1),(93,1),(104,1),(143,1),(147,1),(150,1),(158,1),(188,1),(191,1)}
       66:{1,5}:{(43,1),(44,1)}
       67:{3,5,6}:{(44,1),(49,1),(88,1),(94,1),(214,1)}
       68:{2,3,6}:{(45,1),(47,1),(53,1),(95,1),(190,1)}
       69:{1,2,5}:{(45,1),(46,1),(48,1),(95,1),(194,1)}
       70:{2,5,6}:{(46,1),(49,1),(55,1),(227,1)}
       71:{3,5}:{(47,1),(48,1)}
       72:{1,4,5,6}:{(48,1),(49,1),(57,1),(94,1),(96,1),(98,1),(110,1),(146,1),(150,1),(152,1),(160,1),(193,1),(199,1)}
       73:{3,4,5}:{(51,1),(89,1),(99,1),(100,1),(105,1),(145,1),(162,1)}
       74:{1,2,3}:{(50,1),(52,1),(53,1),(229,1)}
       75:{1,2,5}:{(50,1),(51,1),(99,1),(102,1)}
       76:{2,3,6}:{(51,1),(55,1),(100,1),(102,1)}
       77:{1,3,5}:{(52,1),(56,1),(103,1),(104,1),(220,1)}
       78:{2,3,5}:{(53,1),(54,1),(56,1),(105,1),(106,1),(145,1),(162,1),(190,1),(220,1),(229,1)}
       79:{1,2,4,6}:{(54,1),(55,1),(57,1),(96,1),(102,1),(106,1),(109,1),(146,1),(152,1),(158,1),(159,1),(199,1)}
       80:{3,4,5}:{(56,1),(58,1),(103,1),(105,1),(107,1),(108,1),(162,1),(200,1),(220,1)}
       81:{3,6}:{(56,1),(57,1)}
       82:{2,4,5}:{(58,1),(107,1),(109,1),(151,1),(194,1),(200,1)}
       83:{4,6}:{(58,1),(59,1)}
       84:{1,2,4}:{(60,1),(61,1),(112,1),(113,1),(167,1)}
       85:{2,3,5}:{(60,1),(62,1),(111,1),(113,1),(114,1)}
       86:{1,3,4}:{(61,1),(112,1),(115,1),(167,1),(170,1)}
       87:{1,4,5}:{(61,1),(62,1),(66,1),(113,1),(115,1),(116,1),(167,1),(203,1)}
       88:{3,4,6}:{(62,1),(67,1),(114,1),(116,1),(118,1),(171,1)}
       89:{4,5}:{(64,1),(118,1),(123,1),(224,1)}
       90:{1,2,3,6}:{(63,1),(65,1),(68,1),(74,1),(112,1),(119,1),(171,1),(174,1),(205,1)}
       91:{1,2,5}:{(63,1),(64,1),(66,1),(117,1),(181,1),(203,1)}
       92:{2,3,5,6}:{(64,1),(67,1),(70,1),(76,1),(114,1),(118,1),(120,1),(127,1),(164,1),(171,1)}
       93:{1,3,5}:{(65,1),(66,1),(71,1),(121,1),(181,1),(203,1),(206,1)}
       94:{1,5,6}:{(66,1),(67,1),(116,1),(203,1)}
       95:{2,3,5}:{(68,1),(69,1),(71,1),(123,1)}
       96:{1,2,5,6}:{(69,1),(70,1),(72,1),(79,1),(124,1),(138,1),(174,1),(181,1),(207,1)}
       97:{3,4,5}:{(71,1),(121,1),(123,1),(125,1),(126,1),(170,1),(176,1),(206,1),(224,1)}
       98:{3,5,6}:{(71,1),(72,1),(81,1),(126,1),(171,1),(206,1),(212,1)}
       99:{1,4,5}:{(73,1),(75,1),(128,1),(129,1),(130,1),(181,1)}
      100:{3,4,6}:{(73,1),(76,1),(118,1),(127,1),(129,1),(171,1)}
      101:{1,2,3,5}:{(74,1),(75,1),(77,1),(78,1),(128,1),(130,1),(131,1),(132,1),(178,1),(181,1)}
      102:{1,2,6}:{(75,1),(76,1),(129,1)}
      103:{1,4,5}:{(77,1),(80,1),(130,1),(132,1),(133,1),(181,1)}
      104:{1,3,6}:{(77,1),(81,1),(133,1),(212,1)}
      105:{3,4}:{(78,1),(123,1),(130,1),(224,1)}
      106:{2,3,6}:{(78,1),(79,1),(81,1),(135,1),(171,1),(212,1)}
      107:{2,3,5}:{(80,1),(82,1),(132,1),(134,1),(136,1)}
      108:{3,4,6}:{(80,1),(81,1),(83,1),(133,1),(136,1),(137,1),(184,1),(212,1)}
      109:{2,4,6}:{(82,1),(83,1),(136,1),(138,1),(184,1)}
      110:{4,5,6}:{(83,1),(137,1),(138,1),(176,1),(184,1)}
      111:{2,4,5}:{(85,1),(89,1),(140,1),(151,1),(194,1)}
      112:{1,2,3}:{(84,1),(86,1),(190,1)}
      113:{1,2,5}:{(84,1),(85,1),(87,1),(142,1)}
      114:{2,3,6}:{(85,1),(88,1),(140,1),(142,1)}
      115:{1,3,5}:{(86,1),(87,1),(143,1),(145,1)}
      116:{1,4,6}:{(87,1),(88,1),(94,1),(142,1),(143,1)}
      117:{1,4,5}:{(89,1),(91,1),(145,1),(146,1),(147,1)}
      118:{4,6}:{(89,1),(92,1)}
      119:{1,2,3,5}:{(90,1),(91,1),(93,1),(95,1),(145,1),(147,1),(149,1),(190,1),(217,1)}
      120:{1,2,5,6}:{(91,1),(92,1),(94,1),(102,1),(142,1),(146,1),(154,1)}
      121:{1,4,5}:{(93,1),(97,1),(147,1),(149,1),(150,1)}
      122:{1,3,5,6}:{(93,1),(94,1),(98,1),(104,1),(143,1),(150,1),(160,1)}
      123:{4}:{(95,1)}
      124:{2,3,5,6}:{(95,1),(96,1),(98,1),(106,1),(152,1),(153,1),(162,1),(194,1),(217,1)}
      125:{2,3,5}:{(97,1),(149,1),(151,1),(153,1),(190,1),(194,1)}
      126:{3,4,6}:{(97,1),(98,1),(150,1),(152,1),(153,1)}
      127:{3,5,6}:{(100,1),(144,1),(154,1),(162,1)}
      128:{1,3,5}:{(99,1),(145,1),(155,1),(156,1)}
      129:{1,4,6}:{(99,1),(100,1),(102,1),(154,1),(156,1)}
      130:{1,4}:{(101,1),(105,1)}
      131:{1,2,3,6}:{(101,1),(102,1),(104,1),(106,1),(156,1),(158,1),(159,1)}
      132:{1,2,5}:{(103,1),(107,1),(157,1),(159,1)}
      133:{1,4,6}:{(103,1),(104,1),(108,1),(159,1),(160,1)}
      134:{2,3,4}:{(105,1),(107,1),(151,1),(157,1),(190,1)}
      135:{3,4,6}:{(105,1),(106,1),(152,1),(158,1),(162,1)}
      136:{2,3,6}:{(107,1),(108,1),(109,1),(159,1)}
      137:{3,5,6}:{(108,1),(110,1),(160,1),(162,1)}
      138:{2,5,6}:{(109,1),(110,1),(194,1)}
      139:{1,2,4,5}:{(111,1),(113,1),(117,1),(165,1),(166,1),(167,1),(172,1),(203,1),(207,1),(222,1),(224,1)}
      140:{2,4,6}:{(111,1),(114,1),(118,1),(164,1)}
      141:{1,2,3,5}:{(112,1),(113,1),(115,1),(165,1),(167,1),(168,1),(203,1)}
      142:{1,2,6}:{(113,1),(114,1),(116,1)}
      143:{1,3,6}:{(115,1),(116,1),(171,1)}
      144:{4,5,6}:{(118,1),(127,1),(164,1),(176,1)}
      145:{3,5}:{(117,1),(170,1),(171,1)}
      146:{1,4,6}:{(117,1),(118,1),(120,1),(171,1)}
      147:{1,4}:{(119,1),(123,1),(170,1),(224,1)}
      148:{1,2,3,5,6}:{(119,1),(120,1),(122,1),(124,1),(131,1),(168,1),(171,1),(173,1),(174,1),(177,1),(181,1),(182,1),(201,1),(203,1),(205,1),(206,1),(207,1),(208,1),(210,1),(212,1)}
      149:{1,2,5}:{(121,1),(125,1),(172,1),(174,1)}
      150:{1,4,6}:{(121,1),(122,1),(126,1),(174,1)}
      151:{2,4}:{(123,1),(125,1),(224,1)}
      152:{4,6}:{(123,1),(124,1),(176,1),(224,1)}
      153:{2,3,6}:{(125,1),(126,1),(174,1),(175,1)}
      154:{1,5,6}:{(127,1),(129,1),(181,1)}
      155:{1,3,4}:{(128,1),(130,1),(170,1),(178,1)}
      156:{1,3,6}:{(128,1),(129,1),(171,1)}
      157:{1,2,4}:{(130,1),(132,1),(134,1),(178,1)}
      158:{1,4,6}:{(130,1),(131,1),(135,1),(181,1)}
      159:{1,2,6}:{(132,1),(133,1),(136,1)}
      160:{1,5,6}:{(133,1),(137,1),(181,1)}
      161:{2,3,4,6}:{(134,1),(135,1),(136,1),(175,1),(180,1),(183,1),(184,1),(205,1),(212,1),(224,1),(226,1)}
      162:{3,5}:{(135,1),(176,1),(181,1)}
      163:{2,3,5,6}:{(136,1),(137,1),(138,1),(182,1),(183,1),(184,1),(212,1)}
      164:{2,5,6}:{(140,1),(144,1),(194,1)}
      165:{2,3,5}:{(139,1),(145,1),(186,1),(187,1),(190,1),(214,1)}
      166:{1,2,4,6}:{(139,1),(140,1),(142,1),(146,1),(185,1),(187,1),(188,1),(213,1)}
      167:{1,4}:{(141,1),(186,1)}
      168:{1,2,3,6}:{(141,1),(142,1),(143,1),(187,1),(188,1)}
      169:{1,4,5,6}:{(144,1),(146,1),(154,1),(185,1),(189,1),(193,1),(195,1),(213,1)}
      170:{3,4}:{(145,1),(147,1),(190,1)}
      171:{3,6}:{(145,1),(146,1)}
      172:{1,2,4}:{(147,1),(149,1),(151,1),(190,1)}
      173:{1,4,6}:{(147,1),(148,1),(152,1),(191,1),(193,1),(213,1),(219,1)}
      174:{1,2,6}:{(149,1),(150,1),(153,1)}
      175:{2,4,6}:{(151,1),(152,1),(153,1),(194,1)}
      176:{4,5}:{(152,1),(162,1),(194,1)}
      177:{1,3,5,6}:{(154,1),(156,1),(189,1),(195,1),(197,1)}
      178:{1,2,3}:{(155,1),(157,1),(190,1)}
      179:{1,3,4,6}:{(155,1),(156,1),(158,1),(191,1),(195,1),(196,1),(197,1),(219,1)}
      180:{1,2,4,6}:{(157,1),(158,1),(159,1),(161,1),(196,1),(198,1),(199,1),(219,1)}
      181:{1,5}:{(158,1),(162,1)}
      182:{1,2,5,6}:{(159,1),(160,1),(163,1),(198,1),(199,1)}
      183:{2,3,5}:{(161,1),(162,1),(194,1),(198,1),(200,1),(220,1)}
      184:{4,6}:{(163,1),(200,1)}
      185:{1,2,5,6}:{(164,1),(166,1),(169,1),(201,1),(203,1),(207,1),(208,1)}
      186:{3,4}:{(165,1),(167,1),(224,1)}
      187:{2,3,6}:{(165,1),(166,1),(171,1),(202,1)}
      188:{1,4,6}:{(167,1),(168,1),(202,1),(203,1)}
      189:{3,5,6}:{(169,1),(171,1),(204,1),(206,1)}
      190:{2,3}:{(170,1),(172,1)}
      191:{3,4,6}:{(170,1),(171,1),(173,1),(205,1),(206,1),(212,1),(224,1),(226,1)}
      192:{1,2,4,6}:{(172,1),(173,1),(174,1),(175,1),(205,1),(207,1),(208,1),(221,1),(224,1),(225,1)}
      193:{1,4,5}:{(173,1),(176,1),(181,1),(203,1),(206,1),(207,1),(222,1),(224,1)}
      194:{2,5}:{(175,1),(176,1)}
      195:{1,4,6}:{(177,1),(204,1),(208,1),(209,1)}
      196:{1,2,3,6}:{(178,1),(179,1),(180,1),(205,1),(208,1),(210,1),(212,1)}
      197:{1,3,5}:{(179,1),(181,1),(206,1),(209,1)}
      198:{1,2,5}:{(180,1),(181,1),(183,1),(211,1)}
      199:{1,4,6}:{(182,1),(184,1),(211,1),(212,1)}
      200:{4,5}:{(183,1),(184,1),(224,1)}
      201:{2,3,5,6}:{(185,1),(187,1),(189,1),(213,1),(214,1),(215,1),(217,1),(227,1)}
      202:{3,4,6}:{(186,1),(187,1),(188,1),(213,1),(214,1)}
      203:{1,5}:{(188,1),(214,1)}
      204:{3,4,6}:{(189,1),(195,1),(213,1),(215,1),(216,1)}
      205:{2,3,6}:{(190,1),(191,1),(192,1),(217,1),(229,1)}
      206:{3,5}:{(191,1),(193,1)}
      207:{1,2,5}:{(192,1),(193,1),(194,1),(217,1),(227,1)}
      208:{1,2,6}:{(195,1),(215,1),(218,1)}
      209:{1,4,5}:{(195,1),(197,1),(216,1),(218,1),(219,1)}
      210:{1,2,3,5}:{(196,1),(197,1),(198,1),(217,1),(218,1),(219,1),(220,1),(229,1)}
      211:{1,4,5}:{(198,1),(199,1),(200,1),(219,1),(220,1)}
      212:{3,6}:{(199,1),(220,1)}
      213:{4,6}:{(201,1),(222,1),(224,1)}
      214:{3,5}:{(202,1),(203,1),(222,1)}
      215:{2,3,6}:{(204,1),(208,1),(221,1),(223,1)}
      216:{3,4,5}:{(204,1),(206,1),(209,1),(222,1),(223,1),(224,1),(226,1)}
      217:{2,3,5}:{(205,1),(206,1),(207,1),(224,1)}
      218:{1,2,5}:{(208,1),(209,1),(223,1),(225,1)}
      219:{1,4}:{(210,1),(224,1),(226,1)}
      220:{3,5}:{(211,1),(212,1),(226,1)}
      221:{2,4,6}:{(213,1),(215,1),(227,1),(228,1)}
      222:{4,5}:{(213,1),(214,1),(227,1)}
      223:{2,3,5}:{(215,1),(216,1),(218,1),(227,1),(228,1),(229,1)}
      224:{4}:{(217,1)}
      225:{1,2,4}:{(218,1),(219,1),(228,1),(229,1)}
      226:{3,4}:{(219,1),(220,1),(229,1)}
      227:{2,5}:{(221,1),(222,1)}
      228:{2,4}:{(223,1),(224,1)}
      229:{2,3}:{(225,1),(226,1)}

304 :   0:{1,3,4,6}:{(1,1),(3,1),(11,1),(13,1),(35,1),(137,1),(139,1),(187,1)}
        1:{1,2,3,6}:{(0,1),(5,1),(6,1),(21,1),(54,1),(60,1),(119,1)}
        2:{2,3,4,6}:{(5,1),(7,1),(26,1),(27,1),(54,1),(60,1),(65,1),(68,1),(105,1),(112,1),(152,1)}
        3:{1,3,5}:{(0,1),(8,1),(53,1),(164,1)}
        4:{1,3,5,6}:{(3,1),(11,1),(19,1),(186,1),(187,1)}
        5:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(38,1),(90,1),(92,1),(137,1)}
        6:{1,2,3,5}:{(1,1),(3,1),(12,1),(13,1),(16,1),(40,1),(41,1),(77,1)}
        7:{2,3,5}:{(2,1),(12,1),(15,1),(40,1),(138,1),(175,1)}
        8:{1,4,5}:{(3,1),(11,1),(13,1),(16,1),(17,1)}
        9:{1,4,5,6}:{(11,1),(18,1),(19,1),(33,1),(50,1),(181,1),(183,1),(186,1)}
       10:{1,2,3,5,6}:{(4,1),(6,1),(20,1),(21,1),(23,1),(32,1),(52,1),(53,1),(54,1),(60,1),(71,1),(102,1),(103,1),(104,1),(111,1),(123,1),(151,1),(160,1),(164,1),(199,1)}
       11:{1,4,6}:{(4,1),(8,1),(21,1),(22,1)}
       12:{1,2,5}:{(5,1),(7,1),(24,1),(164,1)}
       13:{1,4}:{(6,1),(26,1),(105,1)}
       14:{2,3,5,6}:{(7,1),(23,1),(27,1),(56,1),(57,1),(60,1),(65,1)}
       15:{4,5}:{(7,1),(27,1),(105,1)}
       16:{1,2,5}:{(8,1),(21,1),(25,1),(30,1)}
       17:{3,4,5}:{(8,1),(22,1),(26,1),(30,1),(53,1),(73,1),(105,1)}
       18:{1,2,5,6}:{(9,1),(21,1),(31,1),(32,1),(52,1),(123,1),(194,1)}
       19:{3,5,6}:{(9,1),(22,1),(53,1),(199,1)}
       20:{1,4,6}:{(10,1),(13,1),(33,1),(35,1),(50,1),(130,1),(131,1)}
       21:{1,2,6}:{(11,1),(16,1),(37,1)}
       22:{3,4,6}:{(11,1),(17,1),(19,1),(37,1),(50,1)}
       23:{1,2,5,6}:{(12,1),(14,1),(38,1),(82,1),(90,1)}
       24:{1,4,5}:{(12,1),(13,1),(15,1),(38,1),(40,1)}
       25:{1,2,4}:{(13,1),(16,1),(41,1),(47,1)}
       26:{3,4}:{(13,1),(40,1),(41,1)}
       27:{4,6}:{(14,1),(15,1)}
       28:{2,4,5}:{(15,1),(43,1),(45,1),(128,1),(136,1),(175,1)}
       29:{3,4,5}:{(15,1),(40,1),(44,1),(45,1),(46,1),(87,1),(136,1),(138,1),(184,1)}
       30:{2,3,5}:{(16,1),(17,1),(37,1),(41,1),(47,1),(83,1)}
       31:{1,2,4,6}:{(18,1),(48,1),(49,1),(50,1),(96,1),(178,1),(183,1),(190,1)}
       32:{2,3,5,6}:{(18,1),(19,1),(37,1),(49,1),(50,1),(77,1),(83,1),(97,1)}
       33:{1,4,5}:{(20,1),(52,1),(53,1),(73,1),(105,1),(123,1),(156,1),(164,1)}
       34:{1,2,4,6}:{(20,1),(21,1),(25,1),(52,1),(54,1),(58,1),(105,1),(151,1),(152,1),(153,1)}
       35:{3,4,6}:{(20,1),(26,1),(53,1),(54,1),(60,1),(105,1),(157,1),(199,1)}
       36:{4,5,6}:{(27,1),(56,1),(57,1),(109,1),(156,1)}
       37:{2,3,6}:{(21,1),(22,1),(30,1),(58,1)}
       38:{1,4,6}:{(23,1),(24,1),(27,1),(60,1)}
       39:{1,2,4,5}:{(24,1),(25,1),(28,1),(52,1),(59,1),(61,1),(67,1),(69,1),(105,1),(113,1),(115,1),(153,1),(156,1),(158,1),(162,1),(164,1),(193,1),(203,1),(216,1)}
       40:{3,5}:{(24,1),(26,1),(60,1)}
       41:{2,3}:{(25,1),(26,1)}
       42:{1,3,4}:{(26,1),(62,1),(63,1),(113,1),(200,1)}
       43:{2,4,6}:{(27,1),(28,1),(56,1),(65,1),(109,1)}
       44:{3,4,6}:{(27,1),(29,1),(57,1),(60,1),(65,1),(66,1),(109,1),(161,1)}
       45:{2,3,5}:{(28,1),(29,1),(65,1),(67,1),(68,1)}
       46:{1,4,5}:{(29,1),(62,1),(66,1),(67,1),(113,1),(164,1)}
       47:{2,4}:{(30,1),(105,1)}
       48:{1,2,4,5}:{(31,1),(52,1),(70,1),(73,1),(105,1),(121,1),(123,1),(153,1),(154,1),(158,1),(170,1)}
       49:{2,3,6}:{(31,1),(70,1),(72,1),(199,1)}
       50:{4,6}:{(32,1),(73,1),(105,1)}
       51:{1,4,5,6}:{(33,1),(36,1),(38,1),(75,1),(76,1),(82,1),(98,1),(126,1),(130,1),(135,1),(150,1),(180,1),(183,1)}
       52:{1,2,5}:{(33,1),(34,1),(77,1),(83,1),(175,1)}
       53:{3,5}:{(33,1),(35,1)}
       54:{2,3,6}:{(34,1),(35,1),(41,1),(77,1),(176,1)}
       55:{1,3,4,6}:{(35,1),(42,1),(78,1),(79,1),(85,1),(96,1),(126,1),(131,1),(137,1),(147,1),(179,1),(191,1),(215,1)}
       56:{2,5,6}:{(36,1),(43,1),(175,1)}
       57:{3,5,6}:{(36,1),(44,1),(82,1),(138,1)}
       58:{2,4,6}:{(37,1),(47,1),(50,1),(83,1)}
       59:{1,2,4,6}:{(38,1),(39,1),(43,1),(75,1),(84,1),(90,1),(93,1),(130,1),(135,1),(137,1),(142,1),(183,1)}
       60:{3,6}:{(38,1),(40,1)}
       61:{2,3,5}:{(39,1),(40,1),(41,1),(84,1),(87,1),(138,1),(176,1),(182,1),(184,1),(212,1)}
       62:{1,3,5}:{(40,1),(42,1),(46,1),(85,1),(184,1)}
       63:{1,2,3}:{(41,1),(42,1),(88,1),(212,1)}
       64:{2,3,4}:{(41,1),(47,1),(87,1),(88,1),(89,1),(212,1),(223,1)}
       65:{2,3,6}:{(43,1),(44,1),(45,1),(90,1)}
       66:{1,4,6}:{(44,1),(46,1),(82,1),(85,1),(90,1)}
       67:{1,2,5}:{(45,1),(46,1),(90,1),(92,1)}
       68:{2,3,4}:{(45,1),(87,1),(92,1),(128,1),(176,1)}
       69:{2,4,5}:{(47,1),(83,1),(89,1),(93,1),(132,1),(223,1),(229,1)}
       70:{2,3,5}:{(48,1),(49,1),(95,1),(97,1),(176,1),(182,1)}
       71:{1,2,3,6}:{(49,1),(94,1),(96,1),(190,1),(191,1)}
       72:{3,4,6}:{(49,1),(50,1),(95,1),(96,1),(97,1)}
       73:{4,5}:{(50,1),(83,1),(97,1)}
       74:{3,4,5}:{(53,1),(99,1),(100,1),(101,1),(105,1),(156,1),(157,1),(197,1),(216,1)}
       75:{1,2,5,6}:{(51,1),(52,1),(56,1),(59,1),(102,1),(110,1),(151,1),(164,1),(193,1)}
       76:{3,5,6}:{(51,1),(53,1),(60,1),(99,1),(161,1),(197,1),(199,1)}
       77:{2,3,5}:{(52,1),(53,1),(54,1),(105,1)}
       78:{1,3,5}:{(53,1),(55,1),(101,1),(123,1),(164,1),(197,1),(222,1)}
       79:{1,2,3,6}:{(54,1),(55,1),(63,1),(104,1),(106,1),(151,1),(169,1),(192,1),(199,1)}
       80:{2,3,4,6}:{(54,1),(58,1),(64,1),(72,1),(105,1),(106,1),(107,1),(112,1),(116,1),(120,1),(152,1),(157,1),(159,1),(171,1),(192,1),(199,1),(216,1),(218,1),(227,1)}
       81:{2,3,5,6}:{(56,1),(57,1),(65,1),(108,1),(109,1),(118,1),(161,1)}
       82:{1,5,6}:{(57,1),(66,1),(164,1)}
       83:{2,5}:{(58,1),(73,1)}
       84:{2,3,6}:{(59,1),(60,1),(61,1),(112,1),(161,1),(199,1)}
       85:{1,3,6}:{(60,1),(62,1),(66,1),(161,1)}
       86:{1,2,3,5}:{(61,1),(62,1),(63,1),(67,1),(111,1),(113,1),(115,1),(119,1),(164,1),(166,1)}
       87:{3,4}:{(61,1),(105,1),(113,1),(216,1)}
       88:{1,2,4}:{(63,1),(64,1),(113,1),(115,1)}
       89:{2,3,5}:{(64,1),(69,1),(114,1),(115,1),(116,1)}
       90:{1,2,6}:{(65,1),(66,1),(67,1)}
       91:{2,3,4,6}:{(65,1),(68,1),(109,1),(112,1),(117,1),(118,1),(152,1),(161,1),(192,1),(200,1),(216,1)}
       92:{1,2,4}:{(67,1),(68,1),(113,1),(119,1)}
       93:{2,4,6}:{(69,1),(110,1),(116,1),(159,1)}
       94:{1,2,3,5}:{(70,1),(71,1),(121,1),(123,1),(169,1),(170,1),(172,1)}
       95:{3,4}:{(70,1),(105,1),(121,1)}
       96:{1,4,6}:{(71,1),(72,1),(121,1),(123,1)}
       97:{3,5}:{(72,1),(73,1),(123,1)}
       98:{4,5,6}:{(73,1),(110,1),(124,1),(159,1),(228,1)}
       99:{3,4,6}:{(74,1),(76,1),(125,1),(126,1),(130,1)}
      100:{2,3,5}:{(74,1),(125,1),(127,1),(128,1),(175,1),(176,1)}
      101:{1,4,5}:{(74,1),(78,1),(126,1),(127,1),(131,1)}
      102:{2,3,5,6}:{(75,1),(76,1),(77,1),(84,1),(125,1),(130,1),(138,1),(175,1),(206,1)}
      103:{1,3,5,6}:{(76,1),(78,1),(82,1),(85,1),(126,1),(150,1),(191,1)}
      104:{1,2,3,5}:{(77,1),(78,1),(79,1),(127,1),(131,1),(133,1),(176,1),(182,1),(206,1)}
      105:{4}:{(77,1)}
      106:{1,2,4,6}:{(79,1),(80,1),(88,1),(96,1),(131,1),(133,1),(137,1),(142,1),(145,1),(183,1),(190,1),(215,1)}
      107:{2,3,5}:{(80,1),(83,1),(97,1),(132,1),(133,1),(138,1),(175,1),(182,1),(225,1),(229,1)}
      108:{1,2,5,6}:{(81,1),(82,1),(90,1),(135,1),(144,1)}
      109:{4,6}:{(81,1),(136,1)}
      110:{2,5,6}:{(83,1),(93,1),(98,1),(229,1)}
      111:{1,2,3,6}:{(84,1),(85,1),(86,1),(90,1),(137,1),(142,1),(187,1)}
      112:{3,4,6}:{(84,1),(87,1),(130,1),(137,1),(138,1)}
      113:{1,4}:{(86,1),(87,1)}
      114:{3,4,5}:{(87,1),(89,1),(132,1),(138,1),(140,1),(141,1),(182,1)}
      115:{1,2,5}:{(88,1),(89,1),(140,1),(142,1)}
      116:{2,3,6}:{(89,1),(93,1),(141,1),(142,1)}
      117:{1,2,4,6}:{(90,1),(91,1),(92,1),(135,1),(137,1),(143,1),(144,1),(188,1)}
      118:{2,3,5}:{(91,1),(136,1),(138,1),(144,1),(175,1),(184,1)}
      119:{1,2,3}:{(92,1),(139,1),(176,1)}
      120:{2,3,4}:{(95,1),(128,1),(145,1),(146,1),(176,1),(208,1)}
      121:{1,4}:{(94,1),(95,1)}
      122:{3,4,5}:{(95,1),(97,1),(132,1),(146,1),(148,1),(149,1),(182,1),(208,1),(225,1)}
      123:{1,5}:{(96,1),(97,1)}
      124:{3,5,6}:{(97,1),(98,1),(149,1),(150,1),(225,1)}
      125:{2,3,6}:{(99,1),(100,1),(151,1),(152,1)}
      126:{1,4,6}:{(99,1),(101,1),(103,1),(151,1)}
      127:{1,2,5}:{(100,1),(101,1),(151,1),(153,1)}
      128:{2,4}:{(100,1),(105,1),(216,1)}
      129:{1,2,3,5,6}:{(102,1),(103,1),(104,1),(108,1),(111,1),(151,1),(155,1),(160,1),(161,1),(164,1),(168,1),(192,1),(193,1),(197,1),(199,1),(202,1),(205,1),(217,1),(221,1),(222,1)}
      130:{4,6}:{(102,1),(105,1),(156,1),(216,1)}
      131:{1,4}:{(104,1),(105,1),(157,1),(216,1)}
      132:{4,5}:{(105,1),(107,1),(159,1),(216,1)}
      133:{1,2,5}:{(106,1),(107,1),(123,1),(158,1),(164,1),(222,1)}
      134:{2,3,5,6}:{(107,1),(110,1),(116,1),(124,1),(159,1),(160,1),(165,1),(171,1),(194,1),(199,1)}
      135:{1,4,6}:{(108,1),(109,1),(161,1),(162,1)}
      136:{4,5}:{(109,1),(118,1),(216,1)}
      137:{1,4,6}:{(111,1),(112,1),(113,1),(164,1)}
      138:{3,5}:{(112,1),(156,1),(164,1)}
      139:{1,3,4}:{(113,1),(119,1),(157,1),(166,1)}
      140:{1,4,5}:{(113,1),(114,1),(115,1),(164,1),(166,1),(167,1)}
      141:{3,4,6}:{(114,1),(116,1),(159,1),(165,1),(167,1),(199,1)}
      142:{1,2,6}:{(115,1),(116,1),(167,1)}
      143:{1,2,3,6}:{(117,1),(119,1),(161,1),(163,1),(168,1),(192,1),(221,1)}
      144:{1,2,5}:{(117,1),(118,1),(162,1),(164,1)}
      145:{1,2,4}:{(120,1),(121,1),(169,1),(170,1),(204,1)}
      146:{2,3,5}:{(120,1),(122,1),(154,1),(170,1),(171,1)}
      147:{1,3,4}:{(121,1),(157,1),(169,1),(172,1),(204,1)}
      148:{1,4,5}:{(121,1),(122,1),(123,1),(170,1),(172,1),(173,1),(204,1),(222,1)}
      149:{3,4,6}:{(122,1),(124,1),(159,1),(171,1),(173,1),(199,1)}
      150:{1,5,6}:{(123,1),(124,1),(173,1),(222,1)}
      151:{1,2,6}:{(125,1),(126,1),(127,1)}
      152:{2,4,6}:{(125,1),(128,1),(130,1),(175,1)}
      153:{1,2,4}:{(127,1),(128,1),(131,1),(176,1)}
      154:{2,4,5}:{(128,1),(132,1),(146,1),(175,1),(178,1)}
      155:{1,4,6}:{(129,1),(130,1),(131,1),(179,1),(180,1),(188,1),(224,1)}
      156:{4,5}:{(130,1),(138,1),(175,1)}
      157:{3,4}:{(131,1),(176,1),(182,1)}
      158:{1,4,5}:{(131,1),(132,1),(133,1),(182,1),(183,1)}
      159:{4,6}:{(132,1),(134,1)}
      160:{1,2,5,6}:{(133,1),(134,1),(142,1),(150,1),(183,1),(186,1),(190,1)}
      161:{3,6}:{(135,1),(184,1)}
      162:{1,4,5}:{(135,1),(136,1),(144,1),(184,1),(188,1)}
      163:{1,3,4,6}:{(137,1),(139,1),(143,1),(179,1),(185,1),(187,1),(188,1),(214,1)}
      164:{1,5}:{(137,1),(138,1)}
      165:{3,5,6}:{(138,1),(141,1),(181,1),(186,1)}
      166:{1,3,5}:{(139,1),(140,1),(182,1),(187,1)}
      167:{1,4,6}:{(140,1),(141,1),(142,1),(186,1),(187,1)}
      168:{1,2,3,5}:{(143,1),(144,1),(184,1),(185,1),(188,1),(206,1),(212,1),(213,1)}
      169:{1,2,3}:{(145,1),(147,1),(176,1)}
      170:{1,2,5}:{(145,1),(146,1),(148,1),(190,1)}
      171:{2,3,6}:{(146,1),(149,1),(178,1),(190,1)}
      172:{1,3,5}:{(147,1),(148,1),(182,1),(191,1)}
      173:{1,4,6}:{(148,1),(149,1),(150,1),(190,1),(191,1)}
      174:{1,2,4,6}:{(151,1),(152,1),(153,1),(155,1),(192,1),(193,1),(203,1),(216,1),(221,1),(227,1)}
      175:{2,5}:{(152,1),(156,1)}
      176:{2,3}:{(153,1),(157,1)}
      177:{1,2,4,5}:{(153,1),(154,1),(158,1),(170,1),(193,1),(195,1),(196,1),(204,1),(216,1),(222,1),(228,1)}
      178:{2,4,6}:{(154,1),(159,1),(171,1),(194,1)}
      179:{3,4,6}:{(155,1),(157,1),(161,1),(192,1),(197,1),(199,1),(200,1),(216,1)}
      180:{1,4,5}:{(155,1),(156,1),(164,1),(193,1),(197,1),(216,1),(222,1),(228,1)}
      181:{4,5,6}:{(156,1),(159,1),(165,1),(194,1)}
      182:{3,5}:{(157,1),(158,1),(199,1)}
      183:{1,4,6}:{(158,1),(159,1),(160,1),(199,1)}
      184:{3,5}:{(161,1),(162,1),(200,1)}
      185:{1,3,5}:{(163,1),(164,1),(197,1),(201,1)}
      186:{1,5,6}:{(164,1),(165,1),(167,1)}
      187:{1,3,6}:{(166,1),(167,1),(199,1)}
      188:{1,4}:{(168,1),(200,1),(216,1)}
      189:{1,2,3,5}:{(169,1),(170,1),(172,1),(195,1),(204,1),(205,1),(222,1)}
      190:{1,2,6}:{(170,1),(171,1),(173,1)}
      191:{1,3,6}:{(172,1),(173,1),(199,1)}
      192:{2,3,6}:{(174,1),(176,1),(179,1),(206,1),(212,1)}
      193:{1,2,5}:{(174,1),(175,1),(180,1),(206,1),(229,1)}
      194:{2,5,6}:{(175,1),(178,1),(181,1)}
      195:{2,3,5}:{(176,1),(177,1),(182,1),(208,1),(209,1),(225,1)}
      196:{1,2,4,6}:{(177,1),(178,1),(183,1),(190,1),(207,1),(209,1),(215,1),(224,1)}
      197:{3,5}:{(179,1),(180,1)}
      198:{1,4,5,6}:{(180,1),(181,1),(183,1),(186,1),(207,1),(211,1),(214,1),(224,1)}
      199:{3,6}:{(182,1),(183,1)}
      200:{3,4}:{(184,1),(188,1),(212,1)}
      201:{1,4,5}:{(185,1),(188,1),(210,1),(213,1),(214,1)}
      202:{1,3,5,6}:{(185,1),(186,1),(187,1),(211,1),(214,1)}
      203:{1,2,4}:{(188,1),(212,1),(213,1),(223,1)}
      204:{1,4}:{(189,1),(208,1)}
      205:{1,2,3,6}:{(189,1),(190,1),(191,1),(209,1),(215,1)}
      206:{2,3,5}:{(192,1),(193,1),(197,1),(216,1)}
      207:{1,2,5,6}:{(193,1),(194,1),(196,1),(198,1),(217,1),(221,1),(222,1)}
      208:{3,4}:{(195,1),(204,1),(216,1)}
      209:{2,3,6}:{(195,1),(196,1),(199,1),(218,1)}
      210:{3,4,5}:{(197,1),(200,1),(201,1),(216,1),(219,1),(220,1),(228,1)}
      211:{3,5,6}:{(197,1),(198,1),(199,1),(220,1)}
      212:{2,3}:{(200,1),(203,1)}
      213:{1,2,5}:{(201,1),(203,1),(219,1),(221,1)}
      214:{1,4,6}:{(201,1),(202,1),(220,1),(221,1)}
      215:{1,4,6}:{(204,1),(205,1),(218,1),(222,1)}
      216:{4}:{(206,1)}
      217:{2,3,5,6}:{(206,1),(207,1),(209,1),(211,1),(224,1),(225,1),(226,1),(229,1)}
      218:{3,4,6}:{(208,1),(209,1),(215,1),(224,1),(225,1)}
      219:{2,3,5}:{(210,1),(212,1),(213,1),(223,1),(226,1),(229,1)}
      220:{3,4,6}:{(210,1),(211,1),(214,1),(224,1),(226,1)}
      221:{1,2,6}:{(213,1),(214,1),(226,1)}
      222:{1,5}:{(215,1),(225,1)}
      223:{2,4}:{(216,1),(219,1)}
      224:{4,6}:{(216,1),(217,1),(228,1)}
      225:{3,5}:{(218,1),(222,1),(228,1)}
      226:{2,3,6}:{(219,1),(220,1),(221,1),(227,1)}
      227:{2,4,6}:{(223,1),(224,1),(226,1),(229,1)}
      228:{4,5}:{(224,1),(225,1),(229,1)}
      229:{2,5}:{(227,1),(228,1)}

305 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

306 :  0:{3,4,5}:{(3,1),(4,1),(5,1),(44,1),(46,1),(65,1),(66,1),(69,1)}
       1:{4,5,6}:{(7,1),(8,1),(31,1),(72,1)}
       2:{1,3,4}:{(9,1),(10,1),(33,1),(71,1)}
       3:{3,4,6}:{(0,1),(8,1),(12,1),(13,1),(31,1),(55,1)}
       4:{2,3,5}:{(0,1),(12,1),(14,1),(15,1),(38,1),(39,1)}
       5:{1,4,5}:{(0,1),(9,1),(13,1),(14,1),(33,1),(58,1)}
       6:{2,4,5}:{(16,1),(17,1),(44,1)}
       7:{2,5,6}:{(1,1),(16,1),(77,1)}
       8:{3,5,6}:{(1,1),(3,1),(19,1),(66,1)}
       9:{1,3,5}:{(2,1),(5,1),(20,1),(65,1)}
      10:{1,2,3}:{(2,1),(22,1),(76,1)}
      11:{2,3,4}:{(22,1),(23,1),(46,1)}
      12:{2,3,6}:{(3,1),(4,1),(24,1),(25,1)}
      13:{1,4,6}:{(3,1),(5,1),(19,1),(20,1),(24,1)}
      14:{1,2,5}:{(4,1),(5,1),(24,1),(26,1)}
      15:{2,4}:{(4,1),(69,1)}
      16:{2,4,6}:{(6,1),(7,1),(27,1),(31,1),(74,1)}
      17:{2,3,5}:{(6,1),(27,1),(28,1),(29,1),(53,1)}
      18:{2,3,5,6}:{(7,1),(8,1),(12,1),(27,1),(30,1),(31,1),(38,1),(53,1),(55,1),(62,1)}
      19:{1,5,6}:{(8,1),(13,1),(58,1)}
      20:{1,3,6}:{(9,1),(13,1),(55,1)}
      21:{1,2,3,5}:{(9,1),(10,1),(14,1),(32,1),(33,1),(35,1),(39,1),(58,1),(60,1),(62,1)}
      22:{1,2,4}:{(10,1),(11,1),(33,1),(35,1),(74,1)}
      23:{2,3,5}:{(11,1),(34,1),(35,1),(36,1),(60,1)}
      24:{1,2,6}:{(12,1),(13,1),(14,1)}
      25:{2,4,6}:{(12,1),(15,1),(31,1),(38,1)}
      26:{1,2,4}:{(14,1),(15,1),(33,1),(39,1)}
      27:{2,3,6}:{(16,1),(17,1),(40,1),(41,1),(76,1)}
      28:{1,2,5}:{(17,1),(40,1),(42,1),(64,1)}
      29:{3,4}:{(17,1),(42,1)}
      30:{1,2,5,6}:{(18,1),(19,1),(24,1),(40,1),(43,1),(51,1),(64,1)}
      31:{4,6}:{(18,1),(44,1),(69,1)}
      32:{1,2,3,6}:{(20,1),(21,1),(24,1),(45,1),(49,1),(50,1),(68,1)}
      33:{1,4}:{(21,1),(46,1),(69,1)}
      34:{4,5}:{(23,1),(48,1)}
      35:{1,2,5}:{(22,1),(23,1),(47,1),(49,1),(77,1)}
      36:{2,3,6}:{(23,1),(48,1),(49,1),(68,1)}
      37:{1,2,4,6}:{(24,1),(25,1),(26,1),(43,1),(45,1),(50,1),(51,1),(69,1)}
      38:{2,5}:{(25,1),(44,1)}
      39:{2,3}:{(26,1),(46,1)}
      40:{1,2,6}:{(27,1),(28,1),(52,1),(79,1)}
      41:{3,4,6}:{(27,1),(29,1),(31,1),(52,1),(53,1),(55,1),(71,1)}
      42:{1,4}:{(28,1),(29,1),(54,1)}
      43:{1,4,6}:{(30,1),(31,1),(55,1),(56,1)}
      44:{4,5}:{(31,1),(38,1),(53,1)}
      45:{1,4,6}:{(32,1),(33,1),(57,1),(58,1)}
      46:{3,4}:{(33,1),(39,1),(60,1)}
      47:{1,4,5}:{(33,1),(34,1),(35,1),(58,1),(60,1),(61,1),(72,1)}
      48:{4,6}:{(34,1),(36,1),(59,1)}
      49:{1,2,6}:{(35,1),(36,1),(61,1),(80,1)}
      50:{2,3,6}:{(37,1),(39,1),(55,1),(57,1),(62,1),(80,1)}
      51:{1,2,5}:{(37,1),(38,1),(56,1),(58,1),(62,1),(79,1)}
      52:{1,4,6}:{(40,1),(41,1),(42,1),(63,1),(64,1),(75,1)}
      53:{3,5}:{(41,1),(44,1),(64,1)}
      54:{1,3}:{(42,1)}
      55:{3,6}:{(43,1),(65,1)}
      56:{1,4,5}:{(43,1),(44,1),(51,1),(64,1),(65,1),(69,1),(75,1)}
      57:{3,4,6}:{(45,1),(46,1),(50,1),(66,1),(68,1),(69,1),(78,1)}
      58:{1,5}:{(45,1),(66,1)}
      59:{5,6}:{(48,1)}
      60:{3,5}:{(46,1),(47,1),(68,1)}
      61:{1,4,6}:{(47,1),(48,1),(49,1),(67,1),(68,1),(78,1)}
      62:{2,3,5}:{(50,1),(51,1),(65,1),(66,1),(69,1),(76,1),(77,1)}
      63:{1,3,6}:{(52,1),(54,1),(55,1),(70,1)}
      64:{1,5}:{(52,1),(53,1)}
      65:{3,5}:{(55,1),(56,1),(71,1)}
      66:{3,5}:{(57,1),(58,1),(72,1)}
      67:{1,5,6}:{(58,1),(59,1),(61,1),(73,1)}
      68:{3,6}:{(60,1),(61,1)}
      69:{4}:{(62,1)}
      70:{1,3,5}:{(63,1),(64,1),(65,1),(75,1)}
      71:{3,4}:{(65,1),(69,1),(75,1),(76,1)}
      72:{4,5}:{(66,1),(69,1),(77,1),(78,1)}
      73:{3,5,6}:{(66,1),(67,1),(68,1),(78,1)}
      74:{2,4}:{(69,1),(76,1),(77,1)}
      75:{1,4}:{(70,1),(71,1),(79,1)}
      76:{2,3}:{(71,1),(74,1),(79,1)}
      77:{2,5}:{(72,1),(74,1),(80,1)}
      78:{4,6}:{(72,1),(73,1),(80,1)}
      79:{1,2}:{(75,1),(76,1)}
      80:{2,6}:{(77,1),(78,1)}

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

308 :  0:{2,4,5}:{(2,1),(3,1),(34,1)}
       1:{4,5,6}:{(4,1),(5,1),(22,1),(74,1)}
       2:{2,4,6}:{(0,1),(4,1),(6,1),(22,1),(76,1)}
       3:{2,3,5}:{(0,1),(6,1),(7,1),(8,1),(24,1)}
       4:{2,5,6}:{(1,1),(2,1),(78,1)}
       5:{3,5,6}:{(1,1),(10,1),(12,1),(68,1)}
       6:{2,3,6}:{(2,1),(3,1),(13,1),(14,1),(71,1)}
       7:{1,2,5}:{(3,1),(13,1),(15,1),(36,1)}
       8:{3,4}:{(3,1),(15,1)}
       9:{3,4,5}:{(10,1),(16,1),(17,1),(34,1),(53,1),(55,1),(68,1),(70,1)}
      10:{3,4,6}:{(5,1),(9,1),(19,1),(20,1),(22,1),(43,1)}
      11:{2,3,5,6}:{(4,1),(5,1),(6,1),(19,1),(21,1),(22,1),(24,1),(42,1),(43,1),(61,1)}
      12:{1,5,6}:{(5,1),(20,1),(60,1)}
      13:{1,2,6}:{(6,1),(7,1),(23,1),(63,1)}
      14:{3,4,6}:{(6,1),(8,1),(22,1),(23,1),(24,1),(43,1),(62,1)}
      15:{1,4}:{(7,1),(8,1),(25,1)}
      16:{2,3,5}:{(9,1),(19,1),(27,1),(28,1),(42,1),(47,1)}
      17:{1,4,5}:{(9,1),(20,1),(26,1),(27,1),(46,1),(60,1)}
      18:{1,3,4}:{(26,1),(29,1),(46,1),(62,1)}
      19:{2,3,6}:{(10,1),(16,1),(31,1),(32,1)}
      20:{1,4,6}:{(10,1),(12,1),(17,1),(30,1),(31,1)}
      21:{1,2,5,6}:{(11,1),(12,1),(13,1),(31,1),(33,1),(36,1),(52,1)}
      22:{4,6}:{(11,1),(34,1),(70,1)}
      23:{1,4,6}:{(13,1),(14,1),(15,1),(35,1),(36,1),(54,1)}
      24:{3,5}:{(14,1),(34,1),(36,1)}
      25:{1,3}:{(15,1)}
      26:{1,3,5}:{(17,1),(18,1),(30,1),(53,1)}
      27:{1,2,5}:{(16,1),(17,1),(31,1),(38,1)}
      28:{2,4}:{(16,1),(70,1)}
      29:{1,2,3}:{(18,1),(39,1),(71,1)}
      30:{1,3,6}:{(20,1),(26,1),(43,1)}
      31:{1,2,6}:{(19,1),(20,1),(27,1)}
      32:{2,4,6}:{(19,1),(22,1),(28,1),(42,1)}
      33:{1,4,6}:{(21,1),(22,1),(43,1),(44,1)}
      34:{4,5}:{(22,1),(24,1),(42,1)}
      35:{1,3,6}:{(23,1),(25,1),(43,1),(45,1)}
      36:{1,5}:{(23,1),(24,1)}
      37:{1,2,3,5}:{(26,1),(27,1),(29,1),(40,1),(46,1),(47,1),(49,1),(60,1),(61,1),(64,1)}
      38:{1,2,4}:{(27,1),(28,1),(46,1),(47,1)}
      39:{1,2,4}:{(29,1),(46,1),(48,1),(49,1),(76,1)}
      40:{1,2,3,6}:{(30,1),(31,1),(37,1),(50,1),(51,1),(58,1),(72,1)}
      41:{1,2,4,6}:{(31,1),(32,1),(33,1),(38,1),(50,1),(51,1),(52,1),(70,1)}
      42:{2,5}:{(32,1),(34,1)}
      43:{3,6}:{(33,1),(53,1)}
      44:{1,4,5}:{(33,1),(34,1),(36,1),(52,1),(53,1),(54,1),(70,1)}
      45:{1,3,5}:{(35,1),(36,1),(53,1),(54,1)}
      46:{1,4}:{(37,1),(55,1),(70,1)}
      47:{2,3}:{(38,1),(55,1)}
      48:{2,3,4}:{(39,1),(55,1),(57,1)}
      49:{1,2,5}:{(39,1),(56,1),(57,1),(58,1),(78,1)}
      50:{1,4,6}:{(40,1),(46,1),(59,1),(60,1)}
      51:{2,3,6}:{(41,1),(43,1),(47,1),(59,1),(61,1),(80,1)}
      52:{1,2,5}:{(41,1),(42,1),(44,1),(60,1),(61,1),(63,1)}
      53:{3,5}:{(43,1),(44,1),(62,1)}
      54:{1,4}:{(45,1),(62,1),(63,1)}
      55:{3,4}:{(46,1),(47,1),(64,1)}
      56:{1,4,5}:{(46,1),(49,1),(60,1),(64,1),(65,1),(66,1),(74,1)}
      57:{2,3,5}:{(48,1),(49,1),(64,1),(66,1),(67,1)}
      58:{1,2,6}:{(49,1),(65,1),(67,1),(80,1)}
      59:{3,4,6}:{(50,1),(51,1),(55,1),(68,1),(70,1),(72,1),(79,1)}
      60:{1,5}:{(50,1),(68,1)}
      61:{2,3,5}:{(51,1),(52,1),(53,1),(68,1),(70,1),(71,1),(78,1)}
      62:{3,4}:{(53,1),(54,1),(70,1),(71,1)}
      63:{1,2}:{(54,1),(71,1)}
      64:{3,5}:{(55,1),(56,1),(72,1)}
      65:{1,4,6}:{(56,1),(58,1),(69,1),(72,1),(73,1),(79,1)}
      66:{4,5}:{(57,1),(73,1)}
      67:{2,3,6}:{(57,1),(58,1),(72,1),(73,1)}
      68:{3,5}:{(59,1),(60,1),(74,1)}
      69:{1,5,6}:{(60,1),(65,1),(75,1),(77,1)}
      70:{4}:{(61,1)}
      71:{2,3}:{(62,1),(63,1),(76,1)}
      72:{3,6}:{(64,1),(65,1)}
      73:{4,6}:{(66,1),(67,1),(77,1)}
      74:{4,5}:{(68,1),(70,1),(78,1),(79,1)}
      75:{3,5,6}:{(68,1),(69,1),(72,1),(79,1)}
      76:{2,4}:{(70,1),(71,1),(78,1)}
      77:{5,6}:{(73,1)}
      78:{2,5}:{(74,1),(76,1),(80,1)}
      79:{4,6}:{(74,1),(75,1),(80,1)}
      80:{2,6}:{(78,1),(79,1)}

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

310 :  0:{1,3,4,5}:{(1,1),(2,1),(26,1),(29,1)}
       1:{1,3,4,6}:{(0,1),(4,1),(5,1),(16,1),(43,1),(76,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(18,1),(19,1)}
       3:{3,4,5,6}:{(7,1),(8,1),(25,1),(45,1)}
       4:{1,3,5,6}:{(1,1),(8,1),(55,1),(68,1)}
       5:{1,2,3,6}:{(1,1),(2,1),(10,1),(30,1),(80,1)}
       6:{1,2,4}:{(2,1),(11,1)}
       7:{2,3,5,6}:{(3,1),(14,1),(15,1),(34,1),(36,1)}
       8:{1,4,5,6}:{(3,1),(4,1),(14,1),(16,1),(57,1),(67,1)}
       9:{1,2,3,5,6}:{(4,1),(5,1),(14,1),(16,1),(18,1),(36,1),(39,1),(42,1),(59,1),(62,1),(79,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(16,1),(17,1),(18,1),(78,1),(79,1)}
      11:{2,3,4}:{(6,1),(19,1)}
      12:{1,2,4,5}:{(6,1),(18,1),(19,1),(20,1),(31,1),(41,1)}
      13:{1,2,3,4}:{(11,1),(21,1)}
      14:{1,2,5,6}:{(7,1),(8,1),(23,1),(47,1),(75,1)}
      15:{2,4,6}:{(7,1),(24,1)}
      16:{1,4,6}:{(9,1),(25,1),(26,1),(54,1),(70,1)}
      17:{2,3,4,6}:{(10,1),(11,1),(25,1),(27,1),(30,1),(54,1),(73,1),(74,1)}
      18:{1,2,5}:{(10,1),(26,1),(27,1)}
      19:{2,3,5}:{(11,1),(12,1),(29,1),(30,1)}
      20:{1,2,4,6}:{(12,1),(28,1),(30,1),(44,1),(54,1)}
      21:{1,2,3,5}:{(13,1),(19,1),(31,1),(32,1)}
      22:{2,3,4,6}:{(15,1),(33,1),(34,1),(36,1),(58,1),(63,1)}
      23:{1,2,4,6}:{(14,1),(15,1),(16,1),(36,1),(37,1),(66,1),(79,1)}
      24:{2,4,5}:{(15,1),(34,1)}
      25:{3,4,6}:{(16,1),(36,1),(39,1),(63,1)}
      26:{1,4,5}:{(16,1),(18,1),(39,1),(41,1)}
      27:{2,3,5}:{(17,1),(18,1),(39,1),(41,1)}
      28:{1,2,5,6}:{(18,1),(20,1),(40,1),(42,1),(56,1),(79,1)}
      29:{3,4,5}:{(19,1),(31,1),(41,1),(43,1)}
      30:{2,3,6}:{(19,1),(20,1),(43,1)}
      31:{1,4,5}:{(21,1),(29,1),(44,1)}
      32:{1,2,3,6}:{(21,1),(30,1),(44,1)}
      33:{1,2,4,6}:{(22,1),(46,1),(47,1),(69,1),(70,1)}
      34:{2,3,5}:{(22,1),(24,1),(45,1),(47,1)}
      35:{1,3,4,6}:{(25,1),(46,1),(49,1),(70,1),(72,1)}
      36:{2,3,6}:{(23,1),(25,1),(50,1)}
      37:{1,2,4,5}:{(23,1),(24,1),(26,1),(47,1),(50,1),(53,1),(70,1),(71,1)}
      38:{2,4,5,6}:{(24,1),(48,1)}
      39:{3,5}:{(25,1),(26,1)}
      40:{1,4,5,6}:{(26,1),(28,1),(52,1),(54,1),(72,1)}
      41:{4,5}:{(27,1),(54,1)}
      42:{2,3,5,6}:{(27,1),(28,1),(30,1),(52,1),(54,1),(55,1),(74,1),(75,1)}
      43:{3,4,6}:{(29,1),(30,1),(44,1),(54,1),(55,1)}
      44:{1,4,6}:{(31,1),(32,1),(43,1),(56,1)}
      45:{3,4,5}:{(34,1),(57,1),(58,1),(63,1)}
      46:{1,2,3,6}:{(33,1),(35,1),(36,1),(59,1),(77,1),(79,1)}
      47:{1,2,5}:{(33,1),(34,1),(57,1)}
      48:{2,3,5,6}:{(34,1),(38,1),(58,1),(60,1)}
      49:{1,3,5}:{(35,1),(39,1),(61,1)}
      50:{2,3,5}:{(36,1),(37,1),(39,1),(63,1)}
      51:{3,4,5}:{(39,1),(41,1),(61,1),(63,1),(64,1),(65,1)}
      52:{3,5,6}:{(39,1),(40,1),(65,1)}
      53:{2,4,5}:{(41,1),(64,1),(66,1)}
      54:{4,6}:{(41,1),(42,1)}
      55:{3,5,6}:{(43,1),(56,1),(67,1)}
      56:{1,5,6}:{(44,1),(55,1)}
      57:{1,4,5}:{(45,1),(47,1),(68,1),(69,1),(70,1)}
      58:{3,4,6}:{(45,1),(48,1),(69,1)}
      59:{1,2,3,5}:{(46,1),(47,1),(49,1),(50,1),(68,1),(70,1),(71,1),(80,1)}
      60:{1,2,5,6}:{(47,1),(48,1),(69,1)}
      61:{1,4,5}:{(49,1),(51,1),(70,1),(71,1),(72,1)}
      62:{1,3,5,6}:{(49,1),(52,1),(72,1)}
      63:{3,4}:{(50,1),(70,1)}
      64:{2,3,5}:{(51,1),(53,1),(71,1),(73,1),(74,1)}
      65:{3,4,6}:{(51,1),(52,1),(54,1),(72,1),(74,1)}
      66:{2,4,6}:{(53,1),(54,1),(74,1),(75,1)}
      67:{4,5,6}:{(54,1),(55,1),(75,1)}
      68:{1,3,5}:{(57,1),(76,1),(77,1)}
      69:{1,4,6}:{(57,1),(58,1),(60,1),(77,1)}
      70:{1,4}:{(59,1),(63,1)}
      71:{1,2,5}:{(61,1),(64,1),(78,1),(79,1)}
      72:{1,4,6}:{(61,1),(62,1),(65,1),(79,1)}
      73:{2,3,4}:{(63,1),(64,1),(78,1)}
      74:{2,3,6}:{(64,1),(65,1),(66,1),(79,1)}
      75:{2,5,6}:{(66,1),(67,1)}
      76:{1,3,4}:{(68,1),(70,1),(80,1)}
      77:{1,3,6}:{(68,1),(69,1)}
      78:{1,2,4}:{(70,1),(71,1),(73,1),(80,1)}
      79:{1,2,6}:{(71,1),(72,1),(74,1)}
      80:{1,2,3}:{(76,1),(78,1)}

311 :   0:{1,2,4,5}:{(2,1),(3,1),(15,1),(17,1),(38,1),(44,1),(46,1),(80,1),(88,1),(134,1),(139,1)}
        1:{1,4,5,6}:{(4,1),(5,1),(23,1),(25,1),(66,1),(71,1),(107,1),(119,1)}
        2:{1,2,4,6}:{(0,1),(4,1),(6,1),(25,1),(26,1),(32,1),(61,1),(107,1)}
        3:{2,3,5}:{(0,1),(6,1),(8,1),(27,1),(106,1),(157,1)}
        4:{1,2,5,6}:{(1,1),(2,1),(11,1),(41,1),(46,1),(50,1),(88,1)}
        5:{3,5,6}:{(1,1),(10,1),(90,1),(133,1)}
        6:{2,3,6}:{(2,1),(3,1),(14,1),(133,1)}
        7:{1,2,3,5}:{(3,1),(13,1),(15,1),(37,1),(38,1),(46,1),(48,1)}
        8:{3,4}:{(3,1),(15,1),(139,1)}
        9:{2,3,4}:{(8,1),(20,1),(21,1),(73,1),(157,1),(163,1)}
       10:{3,4,6}:{(5,1),(18,1),(22,1),(23,1),(25,1)}
       11:{2,3,5,6}:{(4,1),(5,1),(6,1),(22,1),(25,1),(27,1),(64,1),(113,1)}
       12:{1,3,5,6}:{(5,1),(23,1),(53,1),(119,1),(152,1)}
       13:{1,2,3,6}:{(6,1),(7,1),(26,1),(61,1),(70,1)}
       14:{3,4,6}:{(6,1),(8,1),(25,1),(26,1),(27,1)}
       15:{1,4}:{(7,1),(8,1)}
       16:{3,4,5}:{(8,1),(21,1),(27,1),(29,1),(30,1),(56,1),(73,1),(106,1),(122,1)}
       17:{2,4,5}:{(21,1),(32,1),(56,1),(163,1),(202,1)}
       18:{3,4,5}:{(10,1),(33,1),(34,1),(44,1),(90,1),(128,1),(139,1)}
       19:{2,3,4,6}:{(9,1),(14,1),(35,1),(36,1),(39,1),(42,1),(75,1),(81,1),(87,1),(97,1),(125,1),(132,1),(133,1),(139,1),(146,1),(178,1),(179,1),(184,1),(213,1)}
       20:{1,2,4}:{(9,1),(15,1),(37,1),(38,1),(84,1)}
       21:{2,3,5}:{(9,1),(16,1),(17,1),(38,1),(39,1)}
       22:{2,3,6}:{(10,1),(33,1),(41,1),(42,1)}
       23:{1,4,6}:{(10,1),(12,1),(34,1),(41,1)}
       24:{1,2,3,5,6}:{(11,1),(12,1),(13,1),(41,1),(43,1),(46,1),(77,1),(82,1),(83,1),(87,1),(88,1),(90,1),(93,1),(133,1),(138,1),(140,1),(143,1),(172,1),(176,1),(208,1)}
       25:{4,6}:{(11,1),(44,1),(139,1)}
       26:{1,4,6}:{(13,1),(14,1),(15,1),(46,1)}
       27:{3,5}:{(14,1),(44,1),(46,1)}
       28:{1,3,4}:{(15,1),(37,1),(48,1),(84,1),(132,1)}
       29:{1,4,5}:{(15,1),(16,1),(38,1),(46,1),(48,1),(49,1),(84,1),(136,1)}
       30:{3,4,6}:{(16,1),(39,1),(47,1),(49,1),(81,1),(133,1)}
       31:{1,2,4,5}:{(17,1),(38,1),(51,1),(52,1),(80,1),(84,1),(134,1),(136,1),(147,1),(181,1),(213,1)}
       32:{2,4,6}:{(17,1),(39,1),(50,1),(81,1)}
       33:{2,3,5}:{(18,1),(22,1),(54,1),(55,1),(64,1),(103,1)}
       34:{1,4,5}:{(18,1),(23,1),(53,1),(54,1),(102,1)}
       35:{1,2,4,6}:{(19,1),(20,1),(26,1),(57,1),(58,1),(61,1),(98,1),(107,1),(108,1),(110,1),(150,1),(192,1)}
       36:{2,3,5}:{(19,1),(27,1),(56,1),(58,1),(64,1),(106,1),(122,1),(169,1),(198,1),(202,1)}
       37:{1,2,3}:{(20,1),(28,1),(157,1)}
       38:{1,2,5}:{(20,1),(21,1),(29,1),(61,1)}
       39:{2,3,6}:{(21,1),(30,1),(32,1),(61,1)}
       40:{1,3,4,6}:{(23,1),(53,1),(62,1),(65,1),(102,1),(151,1),(152,1),(192,1)}
       41:{1,2,6}:{(22,1),(23,1),(54,1)}
       42:{2,4,6}:{(22,1),(25,1),(55,1),(64,1)}
       43:{1,4,6}:{(24,1),(25,1),(65,1),(66,1),(102,1),(108,1),(164,1)}
       44:{4,5}:{(25,1),(27,1),(64,1)}
       45:{1,3,4,6}:{(26,1),(28,1),(57,1),(65,1),(68,1),(70,1),(108,1),(110,1),(118,1),(148,1),(158,1),(190,1),(192,1)}
       46:{1,5}:{(26,1),(27,1)}
       47:{3,5,6}:{(27,1),(30,1),(67,1),(69,1),(122,1)}
       48:{1,3,5}:{(28,1),(29,1),(70,1),(106,1)}
       49:{1,4,6}:{(29,1),(30,1),(61,1),(69,1),(70,1)}
       50:{2,5,6}:{(32,1),(71,1),(202,1)}
       51:{2,3,5}:{(31,1),(73,1),(74,1),(106,1),(122,1),(157,1)}
       52:{1,2,4,6}:{(31,1),(32,1),(61,1),(72,1),(74,1),(107,1),(110,1),(121,1)}
       53:{1,3,5}:{(34,1),(40,1),(90,1),(208,1)}
       54:{1,2,5}:{(33,1),(34,1),(41,1),(78,1)}
       55:{2,4}:{(33,1),(139,1)}
       56:{4,5}:{(36,1),(81,1),(139,1),(213,1)}
       57:{1,2,3,6}:{(35,1),(37,1),(45,1),(82,1),(87,1),(123,1),(133,1),(143,1),(179,1)}
       58:{1,2,5}:{(35,1),(36,1),(46,1),(80,1),(136,1),(208,1)}
       59:{2,3,5,6}:{(36,1),(39,1),(47,1),(50,1),(81,1),(83,1),(89,1),(94,1),(125,1),(133,1)}
       60:{1,2,3,5}:{(37,1),(38,1),(48,1),(51,1),(84,1),(85,1),(136,1)}
       61:{1,2,6}:{(38,1),(39,1),(49,1)}
       62:{1,2,3,6}:{(40,1),(41,1),(77,1),(86,1),(87,1),(173,1),(176,1)}
       63:{1,2,4,6}:{(41,1),(42,1),(43,1),(78,1),(87,1),(88,1),(134,1),(139,1),(143,1),(184,1)}
       64:{2,5}:{(42,1),(44,1)}
       65:{3,4,6}:{(43,1),(87,1),(90,1),(128,1),(132,1),(133,1),(139,1),(176,1)}
       66:{1,4,5}:{(43,1),(44,1),(46,1),(88,1),(90,1),(139,1),(185,1),(208,1)}
       67:{4,5,6}:{(44,1),(47,1),(81,1),(89,1),(147,1)}
       68:{1,3,5}:{(45,1),(46,1),(90,1),(92,1),(136,1),(180,1),(208,1)}
       69:{1,5,6}:{(46,1),(47,1),(49,1),(136,1)}
       70:{1,3,6}:{(48,1),(49,1),(133,1)}
       71:{4,5,6}:{(50,1),(81,1),(94,1),(185,1)}
       72:{1,2,5,6}:{(50,1),(52,1),(95,1),(96,1),(136,1),(181,1),(186,1)}
       73:{3,4}:{(51,1),(84,1),(213,1)}
       74:{2,3,6}:{(51,1),(52,1),(97,1),(133,1)}
       75:{2,3,4}:{(55,1),(98,1),(99,1),(103,1),(155,1),(204,1),(222,1)}
       76:{3,4,5}:{(56,1),(99,1),(100,1),(101,1),(106,1),(155,1),(198,1)}
       77:{1,2,3,5}:{(53,1),(54,1),(62,1),(102,1),(103,1),(112,1),(113,1),(153,1)}
       78:{1,2,4}:{(54,1),(55,1),(102,1),(103,1)}
       79:{2,4,5}:{(55,1),(56,1),(64,1),(99,1),(105,1),(169,1),(204,1)}
       80:{1,4,5}:{(56,1),(58,1),(106,1),(107,1),(108,1)}
       81:{4,6}:{(56,1),(59,1)}
       82:{1,2,3,5}:{(57,1),(58,1),(68,1),(106,1),(108,1),(113,1),(117,1),(157,1),(199,1)}
       83:{1,2,5,6}:{(58,1),(59,1),(61,1),(69,1),(107,1),(119,1),(150,1)}
       84:{1,4}:{(60,1),(73,1)}
       85:{1,2,3,6}:{(60,1),(61,1),(70,1),(74,1),(110,1)}
       86:{1,2,4,6}:{(62,1),(102,1),(111,1),(112,1),(154,1),(191,1),(192,1),(216,1)}
       87:{2,3,6}:{(63,1),(65,1),(103,1),(113,1),(157,1)}
       88:{1,2,5}:{(63,1),(64,1),(66,1),(113,1),(202,1)}
       89:{2,5,6}:{(64,1),(67,1),(105,1),(169,1)}
       90:{3,5}:{(65,1),(66,1)}
       91:{1,4,5,6}:{(66,1),(67,1),(69,1),(107,1),(114,1),(116,1),(118,1),(154,1),(160,1),(164,1),(201,1),(217,1),(227,1)}
       92:{1,4,5}:{(68,1),(108,1),(115,1),(117,1),(118,1)}
       93:{1,3,5,6}:{(68,1),(69,1),(70,1),(116,1),(118,1),(190,1),(217,1)}
       94:{3,5,6}:{(71,1),(101,1),(119,1),(198,1)}
       95:{1,4,5,6}:{(71,1),(72,1),(107,1),(119,1),(120,1),(121,1),(160,1),(166,1)}
       96:{2,3,5,6}:{(72,1),(74,1),(120,1),(121,1),(122,1),(167,1),(169,1),(199,1)}
       97:{3,4,6}:{(73,1),(74,1),(110,1),(121,1),(122,1)}
       98:{1,2,4}:{(75,1),(123,1),(124,1),(171,1)}
       99:{2,3,5}:{(75,1),(76,1),(79,1),(124,1),(125,1)}
      100:{1,4,5}:{(76,1),(124,1),(126,1),(127,1),(171,1),(208,1)}
      101:{3,4,6}:{(76,1),(81,1),(94,1),(125,1),(127,1),(133,1)}
      102:{1,4}:{(77,1),(128,1),(139,1)}
      103:{2,3}:{(78,1),(128,1)}
      104:{1,2,4,5}:{(78,1),(79,1),(80,1),(88,1),(124,1),(129,1),(130,1),(131,1),(134,1),(139,1),(171,1),(181,1),(182,1),(185,1),(205,1),(208,1),(213,1),(215,1),(224,1)}
      105:{2,4,6}:{(79,1),(81,1),(89,1),(125,1)}
      106:{3,5}:{(80,1),(132,1),(133,1)}
      107:{1,4,6}:{(80,1),(81,1),(83,1),(133,1)}
      108:{1,4}:{(82,1),(132,1),(139,1),(213,1)}
      109:{1,2,3,5,6}:{(82,1),(83,1),(85,1),(93,1),(96,1),(133,1),(135,1),(136,1),(140,1),(143,1),(144,1),(172,1),(179,1),(180,1),(181,1),(186,1),(208,1),(209,1),(223,1),(229,1)}
      110:{1,4,6}:{(84,1),(85,1),(97,1),(136,1)}
      111:{2,3,4,6}:{(86,1),(87,1),(128,1),(137,1),(139,1),(176,1),(177,1),(178,1),(183,1),(184,1),(210,1)}
      112:{1,2,5}:{(86,1),(129,1),(137,1),(208,1)}
      113:{2,3,5}:{(87,1),(88,1),(90,1),(139,1)}
      114:{1,2,5,6}:{(88,1),(89,1),(91,1),(131,1),(140,1),(143,1),(181,1),(208,1),(214,1)}
      115:{3,4,5}:{(90,1),(92,1),(132,1),(139,1),(141,1),(142,1),(180,1),(185,1),(213,1)}
      116:{3,5,6}:{(90,1),(91,1),(133,1),(142,1),(176,1),(180,1),(229,1)}
      117:{1,2,5}:{(92,1),(134,1),(141,1),(143,1)}
      118:{1,4,6}:{(92,1),(93,1),(142,1),(143,1)}
      119:{1,5,6}:{(94,1),(127,1),(208,1)}
      120:{3,5,6}:{(95,1),(133,1),(145,1),(180,1)}
      121:{4,6}:{(96,1),(147,1),(213,1)}
      122:{3,5}:{(97,1),(136,1),(147,1)}
      123:{1,2,3}:{(98,1),(103,1),(148,1),(222,1)}
      124:{1,2,5}:{(98,1),(99,1),(100,1),(150,1)}
      125:{2,3,6}:{(99,1),(101,1),(105,1),(150,1)}
      126:{1,3,5}:{(100,1),(106,1),(151,1),(152,1)}
      127:{1,4,6}:{(100,1),(101,1),(119,1),(150,1),(152,1)}
      128:{3,4}:{(102,1),(103,1),(153,1)}
      129:{1,4,5}:{(102,1),(112,1),(153,1),(154,1),(161,1)}
      130:{2,3,5}:{(103,1),(104,1),(106,1),(153,1),(155,1),(156,1),(157,1),(198,1),(222,1),(228,1)}
      131:{1,2,4,6}:{(104,1),(105,1),(107,1),(114,1),(150,1),(154,1),(156,1),(164,1),(192,1),(200,1),(216,1),(227,1)}
      132:{3,4}:{(106,1),(108,1),(157,1)}
      133:{3,6}:{(106,1),(107,1)}
      134:{1,2,4}:{(108,1),(117,1),(157,1),(163,1)}
      135:{1,4,6}:{(108,1),(109,1),(121,1),(158,1),(160,1),(164,1),(219,1)}
      136:{1,5}:{(110,1),(122,1)}
      137:{2,3,5}:{(111,1),(112,1),(153,1),(161,1),(198,1),(202,1)}
      138:{1,2,5,6}:{(112,1),(154,1),(162,1),(216,1),(217,1)}
      139:{4}:{(113,1)}
      140:{2,3,5,6}:{(113,1),(114,1),(116,1),(156,1),(164,1),(165,1),(198,1),(199,1),(202,1)}
      141:{2,3,5}:{(115,1),(117,1),(157,1),(163,1),(165,1),(202,1)}
      142:{3,4,6}:{(115,1),(116,1),(118,1),(164,1),(165,1)}
      143:{1,2,6}:{(117,1),(118,1),(165,1)}
      144:{1,3,5,6}:{(119,1),(120,1),(152,1),(166,1),(194,1)}
      145:{3,4,6}:{(120,1),(121,1),(166,1),(167,1),(168,1)}
      146:{2,4,6}:{(121,1),(167,1),(169,1),(204,1)}
      147:{4,5}:{(121,1),(122,1),(169,1)}
      148:{1,3,4}:{(123,1),(128,1),(170,1),(171,1),(225,1)}
      149:{1,2,3,5}:{(123,1),(124,1),(126,1),(130,1),(170,1),(171,1),(172,1),(173,1),(205,1),(208,1)}
      150:{1,2,6}:{(124,1),(125,1),(127,1)}
      151:{1,3,4}:{(126,1),(132,1),(171,1),(173,1)}
      152:{1,3,6}:{(126,1),(127,1),(133,1)}
      153:{3,5}:{(128,1),(129,1),(176,1)}
      154:{1,4,6}:{(129,1),(138,1),(176,1),(183,1)}
      155:{3,4}:{(130,1),(139,1),(171,1),(213,1)}
      156:{2,3,6}:{(130,1),(131,1),(133,1),(176,1),(178,1),(229,1)}
      157:{2,3}:{(132,1),(134,1)}
      158:{3,4,6}:{(132,1),(133,1),(135,1),(179,1),(180,1),(213,1),(225,1),(229,1)}
      159:{1,2,4,6}:{(134,1),(135,1),(143,1),(146,1),(179,1),(181,1),(184,1),(186,1),(213,1),(215,1)}
      160:{1,4,5}:{(135,1),(136,1),(147,1),(180,1),(181,1),(185,1),(208,1),(213,1)}
      161:{4,5}:{(137,1),(139,1),(183,1)}
      162:{2,3,5,6}:{(137,1),(138,1),(176,1),(183,1),(210,1),(211,1),(214,1)}
      163:{2,4}:{(139,1),(141,1),(213,1)}
      164:{4,6}:{(139,1),(140,1),(185,1),(213,1)}
      165:{2,3,6}:{(141,1),(142,1),(143,1),(184,1)}
      166:{1,4,6}:{(144,1),(145,1),(186,1),(187,1)}
      167:{2,3,6}:{(145,1),(146,1),(186,1),(188,1)}
      168:{3,4,5}:{(145,1),(147,1),(180,1),(187,1),(188,1),(213,1),(225,1)}
      169:{2,5}:{(146,1),(147,1)}
      170:{1,3,5}:{(148,1),(153,1),(189,1),(190,1),(228,1)}
      171:{1,4}:{(149,1),(155,1)}
      172:{1,2,3,6}:{(149,1),(150,1),(152,1),(156,1),(190,1),(192,1),(216,1)}
      173:{1,2,3}:{(151,1),(157,1),(191,1)}
      174:{1,3,4,6}:{(151,1),(152,1),(158,1),(166,1),(192,1),(193,1),(194,1),(219,1)}
      175:{3,4,5}:{(153,1),(155,1),(161,1),(189,1),(195,1),(196,1),(198,1),(221,1),(228,1)}
      176:{3,6}:{(153,1),(154,1)}
      177:{2,3,4}:{(155,1),(157,1),(163,1),(191,1),(195,1)}
      178:{3,4,6}:{(155,1),(156,1),(164,1),(192,1),(198,1)}
      179:{2,3,6}:{(157,1),(158,1),(159,1),(199,1),(222,1)}
      180:{3,5}:{(158,1),(160,1)}
      181:{1,2,5}:{(159,1),(160,1),(169,1),(199,1),(202,1)}
      182:{2,4,5}:{(161,1),(163,1),(195,1),(200,1),(202,1),(221,1)}
      183:{4,6}:{(161,1),(162,1)}
      184:{2,4,6}:{(163,1),(164,1),(165,1),(202,1)}
      185:{4,5}:{(164,1),(198,1),(202,1)}
      186:{1,2,6}:{(166,1),(167,1),(203,1)}
      187:{1,4,5}:{(166,1),(168,1),(194,1),(203,1),(219,1)}
      188:{2,3,5}:{(167,1),(168,1),(169,1),(203,1),(204,1),(222,1)}
      189:{1,4,5}:{(170,1),(171,1),(175,1),(205,1),(206,1),(208,1)}
      190:{1,3,6}:{(170,1),(176,1),(206,1),(229,1)}
      191:{1,2,4}:{(171,1),(173,1),(177,1),(205,1)}
      192:{1,4,6}:{(171,1),(172,1),(178,1),(208,1)}
      193:{1,2,3,6}:{(173,1),(174,1),(179,1),(186,1),(207,1),(209,1),(229,1)}
      194:{1,3,5}:{(174,1),(180,1),(187,1),(208,1)}
      195:{2,3,5}:{(175,1),(177,1),(182,1),(205,1),(210,1)}
      196:{3,4,6}:{(175,1),(176,1),(183,1),(206,1),(210,1),(211,1),(226,1),(229,1)}
      197:{2,3,4,6}:{(177,1),(178,1),(179,1),(184,1),(207,1),(210,1),(212,1),(213,1),(225,1),(226,1),(229,1)}
      198:{3,5}:{(178,1),(185,1),(208,1)}
      199:{2,3,5}:{(179,1),(180,1),(181,1),(213,1)}
      200:{2,4,6}:{(182,1),(183,1),(210,1),(214,1),(226,1)}
      201:{4,5,6}:{(183,1),(185,1),(211,1),(214,1),(226,1)}
      202:{2,5}:{(184,1),(185,1)}
      203:{1,2,5}:{(186,1),(187,1),(188,1),(215,1)}
      204:{2,4}:{(188,1),(213,1)}
      205:{1,2,5}:{(189,1),(191,1),(195,1),(216,1)}
      206:{1,4,6}:{(189,1),(190,1),(196,1),(216,1),(217,1)}
      207:{1,2,4,6}:{(191,1),(192,1),(193,1),(197,1),(216,1),(218,1),(219,1),(227,1)}
      208:{1,5}:{(192,1),(198,1)}
      209:{1,2,3,5}:{(193,1),(194,1),(199,1),(203,1),(218,1),(219,1),(222,1),(228,1)}
      210:{2,3,6}:{(195,1),(196,1),(200,1),(216,1)}
      211:{3,5,6}:{(196,1),(198,1),(201,1),(217,1)}
      212:{2,3,5}:{(197,1),(198,1),(202,1),(218,1),(221,1),(228,1)}
      213:{4}:{(199,1)}
      214:{2,5,6}:{(200,1),(201,1),(202,1)}
      215:{1,2,4}:{(203,1),(204,1),(219,1),(222,1)}
      216:{1,2,6}:{(205,1),(206,1),(210,1)}
      217:{1,5,6}:{(206,1),(208,1),(211,1)}
      218:{1,2,5}:{(207,1),(208,1),(212,1),(224,1)}
      219:{1,4}:{(209,1),(213,1),(225,1)}
      220:{2,3,5,6}:{(210,1),(211,1),(212,1),(214,1),(223,1),(226,1),(229,1)}
      221:{4,5}:{(212,1),(213,1),(226,1)}
      222:{2,3}:{(215,1),(225,1)}
      223:{1,2,5,6}:{(216,1),(217,1),(218,1),(220,1),(227,1)}
      224:{1,4,5}:{(218,1),(219,1),(221,1),(227,1),(228,1)}
      225:{3,4}:{(219,1),(222,1),(228,1)}
      226:{4,6}:{(220,1),(221,1)}
      227:{1,4,6}:{(223,1),(224,1),(226,1),(229,1)}
      228:{3,5}:{(224,1),(225,1),(229,1)}
      229:{3,6}:{(227,1),(228,1)}

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

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

314 :  0:{2,4,5}:{(2,1),(3,1),(35,1)}
       1:{4,5,6}:{(5,1),(6,1),(24,1),(73,1)}
       2:{2,4,6}:{(0,1),(5,1),(7,1),(24,1),(75,1)}
       3:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(26,1)}
       4:{3,4,5}:{(10,1),(11,1),(12,1),(35,1),(49,1),(53,1),(66,1),(69,1)}
       5:{2,5,6}:{(1,1),(2,1),(77,1)}
       6:{3,5,6}:{(1,1),(10,1),(14,1),(66,1)}
       7:{2,3,6}:{(2,1),(3,1),(15,1),(16,1),(70,1)}
       8:{1,2,5}:{(3,1),(15,1),(17,1),(37,1)}
       9:{3,4}:{(3,1),(17,1)}
      10:{3,4,6}:{(4,1),(6,1),(19,1),(20,1),(24,1),(44,1)}
      11:{2,3,5}:{(4,1),(19,1),(21,1),(22,1),(42,1),(43,1)}
      12:{1,4,5}:{(4,1),(18,1),(20,1),(21,1),(40,1),(58,1)}
      13:{2,3,5,6}:{(5,1),(6,1),(7,1),(19,1),(23,1),(24,1),(26,1),(42,1),(44,1),(61,1)}
      14:{1,5,6}:{(6,1),(20,1),(58,1)}
      15:{1,2,6}:{(7,1),(8,1),(25,1),(63,1)}
      16:{3,4,6}:{(7,1),(9,1),(24,1),(25,1),(26,1),(44,1),(62,1)}
      17:{1,4}:{(8,1),(9,1),(27,1)}
      18:{1,3,5}:{(12,1),(28,1),(29,1),(53,1)}
      19:{2,3,6}:{(10,1),(11,1),(31,1),(32,1)}
      20:{1,4,6}:{(10,1),(12,1),(14,1),(29,1),(31,1)}
      21:{1,2,5}:{(11,1),(12,1),(31,1),(33,1)}
      22:{2,4}:{(11,1),(69,1)}
      23:{1,2,5,6}:{(13,1),(14,1),(15,1),(31,1),(34,1),(37,1),(52,1)}
      24:{4,6}:{(13,1),(35,1),(69,1)}
      25:{1,4,6}:{(15,1),(16,1),(17,1),(36,1),(37,1),(54,1)}
      26:{3,5}:{(16,1),(35,1),(37,1)}
      27:{1,3}:{(17,1)}
      28:{1,3,4}:{(18,1),(38,1),(40,1),(62,1)}
      29:{1,3,6}:{(18,1),(20,1),(44,1)}
      30:{1,2,3,5}:{(18,1),(21,1),(38,1),(39,1),(40,1),(43,1),(56,1),(58,1),(59,1),(61,1)}
      31:{1,2,6}:{(19,1),(20,1),(21,1)}
      32:{2,4,6}:{(19,1),(22,1),(24,1),(42,1)}
      33:{1,2,4}:{(21,1),(22,1),(40,1),(43,1)}
      34:{1,4,6}:{(23,1),(24,1),(44,1),(45,1)}
      35:{4,5}:{(24,1),(26,1),(42,1)}
      36:{1,3,6}:{(25,1),(27,1),(44,1),(46,1)}
      37:{1,5}:{(25,1),(26,1)}
      38:{1,2,3}:{(28,1),(47,1),(70,1)}
      39:{1,2,3,6}:{(29,1),(30,1),(31,1),(48,1),(51,1),(65,1),(68,1)}
      40:{1,4}:{(30,1),(49,1),(69,1)}
      41:{1,2,4,6}:{(31,1),(32,1),(33,1),(34,1),(48,1),(51,1),(52,1),(69,1)}
      42:{2,5}:{(32,1),(35,1)}
      43:{2,3}:{(33,1),(49,1)}
      44:{3,6}:{(34,1),(53,1)}
      45:{1,4,5}:{(34,1),(35,1),(37,1),(52,1),(53,1),(54,1),(69,1)}
      46:{1,3,5}:{(36,1),(37,1),(53,1),(54,1)}
      47:{1,2,4}:{(38,1),(40,1),(55,1),(56,1),(75,1)}
      48:{1,4,6}:{(39,1),(40,1),(57,1),(58,1)}
      49:{3,4}:{(40,1),(43,1),(59,1)}
      50:{1,4,5}:{(40,1),(56,1),(58,1),(59,1),(60,1),(71,1),(73,1)}
      51:{2,3,6}:{(41,1),(43,1),(44,1),(57,1),(61,1),(80,1)}
      52:{1,2,5}:{(41,1),(42,1),(45,1),(58,1),(61,1),(63,1)}
      53:{3,5}:{(44,1),(45,1),(62,1)}
      54:{1,4}:{(46,1),(62,1),(63,1)}
      55:{2,3,4}:{(47,1),(49,1),(64,1)}
      56:{1,2,5}:{(47,1),(50,1),(64,1),(65,1),(77,1)}
      57:{3,4,6}:{(48,1),(49,1),(51,1),(66,1),(68,1),(69,1),(78,1)}
      58:{1,5}:{(48,1),(66,1)}
      59:{3,5}:{(49,1),(50,1),(68,1)}
      60:{1,4,6}:{(50,1),(65,1),(67,1),(68,1),(76,1),(78,1)}
      61:{2,3,5}:{(51,1),(52,1),(53,1),(66,1),(69,1),(70,1),(77,1)}
      62:{3,4}:{(53,1),(54,1),(69,1),(70,1)}
      63:{1,2}:{(54,1),(70,1)}
      64:{2,3,5}:{(55,1),(56,1),(59,1),(71,1),(72,1)}
      65:{1,2,6}:{(56,1),(60,1),(72,1),(80,1)}
      66:{3,5}:{(57,1),(58,1),(73,1)}
      67:{1,5,6}:{(58,1),(60,1),(74,1),(79,1)}
      68:{3,6}:{(59,1),(60,1)}
      69:{4}:{(61,1)}
      70:{2,3}:{(62,1),(63,1),(75,1)}
      71:{4,5}:{(64,1),(76,1)}
      72:{2,3,6}:{(64,1),(65,1),(68,1),(76,1)}
      73:{4,5}:{(66,1),(69,1),(77,1),(78,1)}
      74:{3,5,6}:{(66,1),(67,1),(68,1),(78,1)}
      75:{2,4}:{(69,1),(70,1),(77,1)}
      76:{4,6}:{(71,1),(72,1),(79,1)}
      77:{2,5}:{(73,1),(75,1),(80,1)}
      78:{4,6}:{(73,1),(74,1),(80,1)}
      79:{5,6}:{(76,1)}
      80:{2,6}:{(77,1),(78,1)}

315 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

316 :   0:{2,3,4,6}:{(1,1),(2,1),(9,1),(13,1),(40,1),(45,1),(46,1),(90,1),(91,1),(131,1),(142,1)}
        1:{1,2,4,6}:{(0,1),(5,1),(6,1),(20,1),(27,1),(28,1),(62,1),(110,1)}
        2:{2,3,5}:{(0,1),(4,1),(6,1),(26,1),(116,1),(157,1)}
        3:{1,3,4,6}:{(5,1),(8,1),(28,1),(32,1),(60,1),(68,1),(108,1),(110,1)}
        4:{4,5}:{(2,1),(13,1),(142,1)}
        5:{1,2,3,6}:{(1,1),(3,1),(14,1),(38,1),(46,1),(51,1),(91,1)}
        6:{1,2,5}:{(1,1),(2,1),(12,1),(137,1)}
        7:{2,3,5,6}:{(2,1),(13,1),(15,1),(35,1),(36,1),(40,1),(46,1)}
        8:{1,3,5}:{(3,1),(16,1),(92,1),(137,1)}
        9:{2,3,4}:{(20,1),(21,1),(65,1),(158,1),(195,1)}
       10:{3,4,5}:{(4,1),(21,1),(22,1),(23,1),(26,1),(53,1),(65,1),(99,1),(116,1)}
       11:{2,4,5}:{(4,1),(21,1),(25,1),(53,1),(157,1),(158,1)}
       12:{1,4,5}:{(4,1),(6,1),(26,1),(27,1),(28,1)}
       13:{4,6}:{(4,1),(7,1)}
       14:{1,2,3,5}:{(5,1),(6,1),(8,1),(26,1),(28,1),(31,1),(67,1),(117,1)}
       15:{1,2,5,6}:{(6,1),(7,1),(27,1),(57,1),(62,1)}
       16:{1,4,5}:{(8,1),(28,1),(30,1),(31,1),(32,1)}
       17:{1,3,5,6}:{(8,1),(32,1),(73,1),(108,1),(160,1)}
       18:{2,3,4,6}:{(9,1),(33,1),(34,1),(40,1),(77,1),(90,1),(125,1),(126,1),(131,1),(174,1),(208,1)}
       19:{4,5,6}:{(13,1),(35,1),(36,1),(77,1),(132,1)}
       20:{1,2,4}:{(9,1),(38,1),(39,1),(84,1)}
       21:{2,3,5}:{(9,1),(10,1),(11,1),(39,1),(40,1)}
       22:{1,4,5}:{(10,1),(39,1),(41,1),(42,1),(84,1),(137,1)}
       23:{3,4,6}:{(10,1),(13,1),(35,1),(40,1),(42,1),(46,1),(77,1),(126,1)}
       24:{1,2,4,5}:{(11,1),(12,1),(39,1),(43,1),(44,1),(47,1),(76,1),(84,1),(93,1),(94,1),(127,1),(132,1),(134,1),(137,1),(142,1),(176,1),(177,1),(182,1),(208,1)}
       25:{2,4,6}:{(11,1),(13,1),(36,1),(40,1),(77,1)}
       26:{3,5}:{(12,1),(45,1),(46,1)}
       27:{1,4,6}:{(12,1),(13,1),(15,1),(46,1)}
       28:{1,4}:{(14,1),(45,1),(142,1)}
       29:{1,2,3,5,6}:{(14,1),(15,1),(17,1),(46,1),(48,1),(51,1),(80,1),(81,1),(85,1),(91,1),(92,1),(93,1),(96,1),(129,1),(137,1),(138,1),(147,1),(181,1),(188,1),(213,1)}
       30:{3,4,5}:{(16,1),(45,1),(49,1),(50,1),(92,1),(142,1),(145,1)}
       31:{1,2,5}:{(16,1),(47,1),(49,1),(51,1)}
       32:{1,4,6}:{(16,1),(17,1),(50,1),(51,1)}
       33:{1,2,4,6}:{(18,1),(20,1),(54,1),(55,1),(62,1),(100,1),(101,1),(110,1)}
       34:{2,3,5}:{(18,1),(53,1),(55,1),(99,1),(116,1),(157,1)}
       35:{3,5,6}:{(19,1),(23,1),(57,1),(116,1)}
       36:{2,5,6}:{(19,1),(25,1),(157,1)}
       37:{1,4,5,6}:{(19,1),(27,1),(57,1),(58,1),(59,1),(70,1),(100,1),(103,1),(104,1),(154,1),(167,1),(199,1),(204,1)}
       38:{1,2,3}:{(20,1),(60,1),(195,1)}
       39:{1,2,5}:{(20,1),(21,1),(22,1),(62,1)}
       40:{2,3,6}:{(21,1),(23,1),(25,1),(62,1)}
       41:{1,3,5}:{(22,1),(26,1),(63,1),(64,1),(99,1)}
       42:{1,4,6}:{(22,1),(23,1),(57,1),(62,1),(64,1)}
       43:{2,3,5}:{(24,1),(26,1),(65,1),(66,1),(67,1),(99,1),(116,1),(151,1),(195,1),(200,1)}
       44:{1,2,4,6}:{(24,1),(25,1),(27,1),(58,1),(62,1),(66,1),(100,1),(104,1),(110,1),(119,1),(159,1),(199,1)}
       45:{3,4}:{(26,1),(28,1),(67,1)}
       46:{3,6}:{(26,1),(27,1)}
       47:{1,2,4}:{(28,1),(31,1),(67,1),(71,1)}
       48:{1,4,6}:{(28,1),(29,1),(68,1),(70,1),(104,1),(121,1),(162,1)}
       49:{2,3,5}:{(30,1),(31,1),(67,1),(71,1),(72,1),(120,1)}
       50:{3,4,6}:{(30,1),(32,1),(72,1),(73,1),(121,1)}
       51:{1,2,6}:{(31,1),(32,1),(72,1)}
       52:{1,4,5,6}:{(32,1),(70,1),(73,1),(74,1),(121,1),(156,1),(160,1),(199,1)}
       53:{4,5}:{(34,1),(77,1),(208,1)}
       54:{1,2,3,6}:{(33,1),(38,1),(75,1),(78,1),(126,1),(172,1),(174,1)}
       55:{1,2,5}:{(33,1),(34,1),(76,1),(137,1)}
       56:{2,3,5,6}:{(34,1),(35,1),(36,1),(40,1),(77,1),(79,1),(126,1)}
       57:{1,5,6}:{(35,1),(42,1),(137,1)}
       58:{1,2,5,6}:{(36,1),(37,1),(44,1),(81,1),(93,1),(129,1),(137,1),(144,1),(176,1)}
       59:{3,5,6}:{(37,1),(46,1),(82,1),(92,1),(126,1),(175,1),(213,1)}
       60:{1,3,4}:{(38,1),(83,1),(84,1),(183,1)}
       61:{1,2,3,5}:{(38,1),(39,1),(41,1),(43,1),(83,1),(84,1),(85,1),(86,1),(134,1),(137,1)}
       62:{1,2,6}:{(39,1),(40,1),(42,1)}
       63:{1,3,4}:{(41,1),(45,1),(84,1),(86,1),(125,1)}
       64:{1,3,6}:{(41,1),(42,1),(46,1),(126,1)}
       65:{3,4}:{(43,1),(84,1),(142,1),(208,1)}
       66:{2,3,6}:{(43,1),(44,1),(46,1),(90,1),(126,1),(213,1)}
       67:{2,3}:{(45,1),(47,1)}
       68:{3,4,6}:{(45,1),(46,1),(48,1),(91,1),(92,1),(142,1),(183,1),(213,1)}
       69:{1,2,4,6}:{(47,1),(48,1),(51,1),(91,1),(93,1),(95,1),(129,1),(131,1),(142,1),(177,1)}
       70:{1,4,5}:{(48,1),(92,1),(93,1),(132,1),(137,1),(142,1),(145,1),(188,1)}
       71:{2,4}:{(49,1),(142,1)}
       72:{2,3,6}:{(49,1),(50,1),(51,1),(95,1)}
       73:{3,5,6}:{(50,1),(52,1),(92,1),(213,1)}
       74:{1,2,5,6}:{(51,1),(52,1),(93,1),(96,1),(97,1),(178,1),(188,1)}
       75:{1,3,4,6}:{(54,1),(60,1),(98,1),(101,1),(108,1),(110,1),(150,1),(152,1)}
       76:{1,4,5}:{(53,1),(55,1),(99,1),(100,1),(101,1)}
       77:{4,6}:{(53,1),(56,1)}
       78:{1,2,3,5}:{(54,1),(55,1),(98,1),(99,1),(101,1),(149,1),(151,1),(193,1)}
       79:{1,2,5,6}:{(55,1),(56,1),(57,1),(62,1),(100,1)}
       80:{1,3,5,6}:{(57,1),(59,1),(64,1),(103,1),(112,1),(204,1),(222,1)}
       81:{2,3,5,6}:{(58,1),(59,1),(66,1),(104,1),(105,1),(116,1),(117,1),(157,1),(193,1)}
       82:{3,4,6}:{(59,1),(103,1),(104,1),(105,1),(106,1)}
       83:{1,3,5}:{(60,1),(107,1),(108,1),(200,1)}
       84:{1,4}:{(61,1),(65,1)}
       85:{1,2,3,6}:{(61,1),(62,1),(64,1),(66,1),(108,1),(110,1),(159,1)}
       86:{1,2,3}:{(63,1),(67,1),(109,1),(151,1)}
       87:{1,3,4,6}:{(63,1),(64,1),(68,1),(103,1),(110,1),(111,1),(112,1),(152,1),(162,1),(169,1),(201,1),(222,1),(228,1)}
       88:{3,4,5}:{(65,1),(107,1),(113,1),(114,1),(116,1),(164,1),(200,1)}
       89:{2,3,4}:{(65,1),(67,1),(71,1),(109,1),(113,1),(151,1),(189,1)}
       90:{3,4,6}:{(65,1),(66,1),(104,1),(110,1),(116,1)}
       91:{2,3,6}:{(67,1),(68,1),(69,1),(117,1),(195,1)}
       92:{3,5}:{(68,1),(70,1)}
       93:{1,2,5}:{(69,1),(70,1),(117,1),(120,1),(157,1)}
       94:{2,4,5}:{(71,1),(113,1),(119,1),(120,1),(164,1),(189,1),(216,1)}
       95:{2,4,6}:{(71,1),(72,1),(120,1),(121,1)}
       96:{2,3,5,6}:{(72,1),(73,1),(74,1),(117,1),(120,1),(121,1),(122,1),(168,1)}
       97:{1,2,4,6}:{(74,1),(118,1),(121,1),(122,1),(169,1),(196,1),(199,1),(221,1)}
       98:{1,3,5}:{(75,1),(123,1),(137,1),(175,1)}
       99:{3,5}:{(76,1),(125,1),(126,1)}
      100:{1,4,6}:{(76,1),(77,1),(79,1),(126,1)}
      101:{1,4}:{(78,1),(125,1),(208,1)}
      102:{1,2,3,5,6}:{(78,1),(79,1),(80,1),(81,1),(85,1),(124,1),(126,1),(128,1),(129,1),(137,1),(138,1),(172,1),(174,1),(175,1),(176,1),(181,1),(206,1),(213,1),(225,1),(229,1)}
      103:{1,4,6}:{(80,1),(82,1),(129,1),(130,1)}
      104:{4,6}:{(81,1),(132,1),(142,1),(208,1)}
      105:{2,3,6}:{(82,1),(129,1),(131,1),(133,1)}
      106:{3,4,5}:{(82,1),(92,1),(130,1),(132,1),(133,1),(142,1),(175,1),(183,1),(208,1)}
      107:{1,4,5}:{(83,1),(84,1),(88,1),(134,1),(135,1),(137,1)}
      108:{1,3,6}:{(83,1),(135,1),(213,1)}
      109:{1,2,4}:{(84,1),(86,1),(89,1),(134,1)}
      110:{1,4,6}:{(84,1),(85,1),(90,1),(137,1)}
      111:{1,2,3,6}:{(86,1),(87,1),(91,1),(129,1),(136,1),(138,1),(174,1),(210,1),(213,1)}
      112:{1,3,5}:{(87,1),(92,1),(130,1),(137,1),(175,1),(188,1),(229,1)}
      113:{2,3,5}:{(88,1),(89,1),(94,1),(134,1),(139,1)}
      114:{3,4,6}:{(88,1),(135,1),(139,1),(140,1),(184,1),(213,1)}
      115:{2,3,4,6}:{(89,1),(90,1),(91,1),(95,1),(131,1),(136,1),(139,1),(141,1),(142,1),(146,1),(174,1),(180,1),(183,1),(184,1),(205,1),(208,1),(211,1),(213,1),(224,1)}
      116:{3,5}:{(90,1),(132,1),(137,1)}
      117:{2,3,5}:{(91,1),(92,1),(93,1),(142,1)}
      118:{1,2,4,5}:{(93,1),(97,1),(142,1),(143,1),(145,1),(177,1),(179,1),(182,1),(186,1),(188,1),(212,1)}
      119:{2,4,6}:{(94,1),(139,1),(144,1),(184,1)}
      120:{2,5}:{(95,1),(145,1)}
      121:{4,6}:{(96,1),(142,1),(145,1)}
      122:{2,3,6}:{(97,1),(143,1),(146,1),(213,1)}
      123:{1,4,5}:{(98,1),(101,1),(148,1),(149,1),(150,1)}
      124:{1,3,5,6}:{(98,1),(108,1),(150,1),(160,1),(191,1)}
      125:{3,4}:{(99,1),(101,1),(151,1)}
      126:{3,6}:{(99,1),(100,1)}
      127:{1,2,4}:{(101,1),(149,1),(151,1),(189,1)}
      128:{1,4,6}:{(101,1),(102,1),(104,1),(152,1),(154,1),(162,1),(217,1)}
      129:{1,2,6}:{(103,1),(105,1),(155,1)}
      130:{1,4,5}:{(103,1),(106,1),(112,1),(155,1),(162,1)}
      131:{2,4,6}:{(104,1),(105,1),(157,1),(158,1)}
      132:{4,5}:{(104,1),(116,1),(157,1)}
      133:{2,3,5}:{(105,1),(106,1),(155,1),(157,1),(158,1),(195,1)}
      134:{1,2,5}:{(107,1),(109,1),(113,1),(159,1)}
      135:{1,4,6}:{(107,1),(108,1),(114,1),(159,1),(160,1)}
      136:{1,2,4,6}:{(109,1),(110,1),(111,1),(115,1),(159,1),(161,1),(162,1),(169,1),(198,1),(199,1),(221,1),(228,1)}
      137:{1,5}:{(110,1),(116,1)}
      138:{1,2,3,5}:{(111,1),(112,1),(117,1),(155,1),(161,1),(162,1),(193,1),(195,1),(200,1)}
      139:{2,3,6}:{(113,1),(114,1),(119,1),(159,1)}
      140:{3,5,6}:{(114,1),(116,1),(156,1),(160,1)}
      141:{2,3,5}:{(115,1),(116,1),(120,1),(157,1),(161,1),(164,1),(168,1),(200,1),(216,1),(227,1)}
      142:{4}:{(117,1)}
      143:{2,3,5}:{(118,1),(122,1),(165,1),(168,1),(195,1),(200,1)}
      144:{2,5,6}:{(119,1),(120,1),(167,1),(216,1)}
      145:{4,5}:{(120,1),(121,1),(168,1)}
      146:{3,4,6}:{(121,1),(122,1),(165,1),(168,1),(169,1)}
      147:{1,2,3,6}:{(122,1),(166,1),(169,1),(221,1),(222,1)}
      148:{3,4,5}:{(123,1),(125,1),(170,1),(171,1),(175,1),(208,1),(223,1)}
      149:{1,2,5}:{(123,1),(127,1),(170,1),(172,1)}
      150:{1,4,6}:{(123,1),(124,1),(171,1),(172,1)}
      151:{2,3}:{(125,1),(127,1)}
      152:{3,4,6}:{(125,1),(126,1),(128,1),(174,1),(175,1),(183,1),(208,1),(213,1)}
      153:{1,2,4,6}:{(127,1),(128,1),(129,1),(131,1),(172,1),(174,1),(176,1),(177,1),(205,1),(208,1)}
      154:{1,4,5}:{(128,1),(132,1),(137,1),(175,1),(176,1),(208,1),(223,1),(229,1)}
      155:{1,2,5}:{(129,1),(130,1),(133,1),(177,1)}
      156:{4,5,6}:{(132,1),(140,1),(178,1),(184,1)}
      157:{2,5}:{(131,1),(132,1)}
      158:{2,4}:{(133,1),(142,1),(208,1)}
      159:{1,2,6}:{(134,1),(135,1),(139,1)}
      160:{1,5,6}:{(135,1),(137,1),(140,1)}
      161:{1,2,5}:{(136,1),(137,1),(141,1),(182,1),(188,1),(229,1)}
      162:{1,4}:{(138,1),(142,1),(183,1),(208,1)}
      163:{2,3,5,6}:{(139,1),(140,1),(141,1),(144,1),(178,1),(181,1),(184,1),(187,1),(211,1),(213,1)}
      164:{4,5}:{(141,1),(142,1),(184,1),(208,1)}
      165:{3,4}:{(142,1),(143,1),(186,1)}
      166:{1,2,3,5}:{(143,1),(147,1),(186,1),(188,1),(210,1),(212,1),(214,1)}
      167:{4,5,6}:{(144,1),(145,1),(184,1),(187,1),(223,1)}
      168:{3,5}:{(145,1),(146,1),(188,1)}
      169:{1,4,6}:{(146,1),(147,1),(186,1),(188,1)}
      170:{2,3,5}:{(148,1),(149,1),(151,1),(189,1),(190,1),(216,1)}
      171:{3,4,6}:{(148,1),(150,1),(190,1),(191,1),(217,1)}
      172:{1,2,6}:{(149,1),(150,1),(190,1)}
      173:{1,4,5,6}:{(150,1),(154,1),(156,1),(160,1),(191,1),(192,1),(199,1),(217,1)}
      174:{2,3,6}:{(151,1),(152,1),(153,1),(193,1),(195,1)}
      175:{3,5}:{(152,1),(154,1)}
      176:{1,2,5}:{(153,1),(154,1),(157,1),(193,1),(216,1)}
      177:{1,2,4}:{(155,1),(158,1),(162,1),(195,1)}
      178:{2,5,6}:{(156,1),(157,1),(196,1)}
      179:{2,4,5}:{(157,1),(158,1),(164,1),(196,1),(197,1)}
      180:{2,3,4}:{(158,1),(165,1),(195,1),(197,1),(198,1),(219,1)}
      181:{1,2,5,6}:{(159,1),(160,1),(161,1),(163,1),(199,1),(204,1),(221,1)}
      182:{1,4,5}:{(161,1),(162,1),(164,1),(199,1),(200,1)}
      183:{3,4}:{(162,1),(195,1),(200,1)}
      184:{4,6}:{(163,1),(164,1)}
      185:{3,4,5}:{(164,1),(165,1),(168,1),(197,1),(200,1),(202,1),(203,1),(219,1),(227,1)}
      186:{1,4}:{(165,1),(166,1)}
      187:{3,5,6}:{(167,1),(168,1),(202,1),(204,1),(227,1)}
      188:{1,5}:{(168,1),(169,1)}
      189:{2,4}:{(170,1),(208,1)}
      190:{2,3,6}:{(170,1),(171,1),(172,1),(205,1)}
      191:{3,5,6}:{(171,1),(173,1),(175,1),(213,1)}
      192:{1,2,5,6}:{(172,1),(173,1),(176,1),(178,1),(206,1),(207,1),(229,1)}
      193:{2,3,5}:{(174,1),(175,1),(176,1),(208,1)}
      194:{1,2,4,5}:{(176,1),(177,1),(179,1),(182,1),(207,1),(208,1),(209,1),(212,1),(223,1),(226,1),(229,1)}
      195:{2,3}:{(177,1),(183,1)}
      196:{2,4,6}:{(178,1),(179,1),(184,1),(211,1)}
      197:{2,3,5}:{(179,1),(180,1),(185,1),(211,1),(212,1)}
      198:{1,2,4}:{(180,1),(186,1),(210,1),(212,1),(226,1)}
      199:{1,4,6}:{(181,1),(182,1),(184,1),(213,1)}
      200:{3,5}:{(182,1),(183,1),(213,1)}
      201:{1,3,4}:{(183,1),(186,1),(210,1),(214,1),(226,1)}
      202:{3,4,6}:{(184,1),(185,1),(187,1),(211,1),(213,1),(215,1)}
      203:{1,4,5}:{(185,1),(186,1),(188,1),(212,1),(214,1),(215,1),(226,1),(229,1)}
      204:{1,5,6}:{(187,1),(188,1),(215,1),(229,1)}
      205:{2,4,6}:{(189,1),(190,1),(216,1),(217,1)}
      206:{2,3,5,6}:{(190,1),(191,1),(192,1),(193,1),(216,1),(217,1),(218,1),(227,1)}
      207:{1,2,4,6}:{(192,1),(194,1),(196,1),(199,1),(217,1),(218,1),(221,1),(228,1)}
      208:{4}:{(193,1)}
      209:{2,3,5}:{(194,1),(195,1),(200,1),(218,1),(219,1),(227,1)}
      210:{1,2,3}:{(195,1),(198,1),(201,1)}
      211:{2,3,6}:{(196,1),(197,1),(202,1),(221,1)}
      212:{1,2,5}:{(197,1),(198,1),(203,1),(221,1)}
      213:{3,6}:{(199,1),(200,1)}
      214:{1,3,5}:{(200,1),(201,1),(203,1),(222,1)}
      215:{1,4,6}:{(202,1),(203,1),(204,1),(221,1),(222,1)}
      216:{2,5}:{(205,1),(223,1)}
      217:{4,6}:{(206,1),(208,1),(223,1)}
      218:{2,3,6}:{(207,1),(209,1),(213,1),(224,1)}
      219:{3,4}:{(208,1),(209,1),(226,1)}
      220:{1,2,3,5}:{(209,1),(210,1),(212,1),(214,1),(225,1),(226,1),(229,1)}
      221:{1,2,6}:{(211,1),(212,1),(215,1)}
      222:{1,3,6}:{(213,1),(214,1),(215,1)}
      223:{4,5}:{(216,1),(217,1),(227,1)}
      224:{3,4,6}:{(217,1),(218,1),(219,1),(227,1),(228,1)}
      225:{1,2,3,6}:{(218,1),(220,1),(221,1),(222,1),(228,1)}
      226:{1,4}:{(219,1),(220,1)}
      227:{3,5}:{(223,1),(224,1),(229,1)}
      228:{1,4,6}:{(224,1),(225,1),(226,1),(229,1)}
      229:{1,5}:{(227,1),(228,1)}

317 :  0:{4,5,6}:{(3,1),(4,1),(24,1),(74,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(36,1),(51,1),(59,1),(68,1),(71,1)}
       2:{2,4,5}:{(9,1),(10,1),(36,1)}
       3:{2,5,6}:{(0,1),(9,1),(78,1)}
       4:{3,5,6}:{(0,1),(6,1),(12,1),(68,1)}
       5:{1,3,4}:{(13,1),(14,1),(38,1),(67,1)}
       6:{3,4,6}:{(1,1),(4,1),(16,1),(17,1),(24,1),(48,1)}
       7:{2,3,5}:{(1,1),(16,1),(18,1),(19,1),(43,1),(44,1)}
       8:{1,4,5}:{(1,1),(13,1),(17,1),(18,1),(38,1),(61,1)}
       9:{2,4,6}:{(2,1),(3,1),(20,1),(24,1),(76,1)}
      10:{2,3,5}:{(2,1),(20,1),(21,1),(22,1),(46,1)}
      11:{2,3,5,6}:{(3,1),(4,1),(16,1),(20,1),(23,1),(24,1),(43,1),(46,1),(48,1),(65,1)}
      12:{1,5,6}:{(4,1),(17,1),(61,1)}
      13:{1,3,5}:{(5,1),(8,1),(25,1),(59,1)}
      14:{1,2,3}:{(5,1),(27,1),(73,1)}
      15:{2,3,4}:{(27,1),(28,1),(51,1)}
      16:{2,3,6}:{(6,1),(7,1),(29,1),(30,1)}
      17:{1,4,6}:{(6,1),(8,1),(12,1),(25,1),(29,1)}
      18:{1,2,5}:{(7,1),(8,1),(29,1),(31,1)}
      19:{2,4}:{(7,1),(71,1)}
      20:{2,3,6}:{(9,1),(10,1),(32,1),(33,1),(73,1)}
      21:{1,2,5}:{(10,1),(32,1),(34,1),(58,1)}
      22:{3,4}:{(10,1),(34,1)}
      23:{1,2,5,6}:{(11,1),(12,1),(29,1),(32,1),(35,1),(56,1),(58,1)}
      24:{4,6}:{(11,1),(36,1),(71,1)}
      25:{1,3,6}:{(13,1),(17,1),(48,1)}
      26:{1,2,3,5}:{(13,1),(14,1),(18,1),(37,1),(38,1),(40,1),(44,1),(61,1),(63,1),(65,1)}
      27:{1,2,4}:{(14,1),(15,1),(38,1),(40,1),(76,1)}
      28:{2,3,5}:{(15,1),(39,1),(40,1),(41,1),(63,1)}
      29:{1,2,6}:{(16,1),(17,1),(18,1)}
      30:{2,4,6}:{(16,1),(19,1),(24,1),(43,1)}
      31:{1,2,4}:{(18,1),(19,1),(38,1),(44,1)}
      32:{1,2,6}:{(20,1),(21,1),(45,1),(77,1)}
      33:{3,4,6}:{(20,1),(22,1),(24,1),(45,1),(46,1),(48,1),(67,1)}
      34:{1,4}:{(21,1),(22,1),(47,1)}
      35:{1,4,6}:{(23,1),(24,1),(48,1),(49,1)}
      36:{4,5}:{(24,1),(43,1),(46,1)}
      37:{1,2,3,6}:{(25,1),(26,1),(29,1),(50,1),(54,1),(55,1),(70,1)}
      38:{1,4}:{(26,1),(51,1),(71,1)}
      39:{4,5}:{(28,1),(53,1)}
      40:{1,2,5}:{(27,1),(28,1),(52,1),(54,1),(78,1)}
      41:{2,3,6}:{(28,1),(53,1),(54,1),(70,1)}
      42:{1,2,4,6}:{(29,1),(30,1),(31,1),(35,1),(50,1),(55,1),(56,1),(71,1)}
      43:{2,5}:{(30,1),(36,1)}
      44:{2,3}:{(31,1),(51,1)}
      45:{1,4,6}:{(32,1),(33,1),(34,1),(57,1),(58,1),(72,1)}
      46:{3,5}:{(33,1),(36,1),(58,1)}
      47:{1,3}:{(34,1)}
      48:{3,6}:{(35,1),(59,1)}
      49:{1,4,5}:{(35,1),(36,1),(56,1),(58,1),(59,1),(71,1),(72,1)}
      50:{1,4,6}:{(37,1),(38,1),(60,1),(61,1)}
      51:{3,4}:{(38,1),(44,1),(63,1)}
      52:{1,4,5}:{(38,1),(39,1),(40,1),(61,1),(63,1),(64,1),(74,1)}
      53:{4,6}:{(39,1),(41,1),(62,1)}
      54:{1,2,6}:{(40,1),(41,1),(64,1),(80,1)}
      55:{2,3,6}:{(42,1),(44,1),(48,1),(60,1),(65,1),(80,1)}
      56:{1,2,5}:{(42,1),(43,1),(49,1),(61,1),(65,1),(77,1)}
      57:{1,3,6}:{(45,1),(47,1),(48,1),(66,1)}
      58:{1,5}:{(45,1),(46,1)}
      59:{3,5}:{(48,1),(49,1),(67,1)}
      60:{3,4,6}:{(50,1),(51,1),(55,1),(68,1),(70,1),(71,1),(79,1)}
      61:{1,5}:{(50,1),(68,1)}
      62:{5,6}:{(53,1)}
      63:{3,5}:{(51,1),(52,1),(70,1)}
      64:{1,4,6}:{(52,1),(53,1),(54,1),(69,1),(70,1),(79,1)}
      65:{2,3,5}:{(55,1),(56,1),(59,1),(68,1),(71,1),(73,1),(78,1)}
      66:{1,3,5}:{(57,1),(58,1),(59,1),(72,1)}
      67:{3,4}:{(59,1),(71,1),(72,1),(73,1)}
      68:{3,5}:{(60,1),(61,1),(74,1)}
      69:{1,5,6}:{(61,1),(62,1),(64,1),(75,1)}
      70:{3,6}:{(63,1),(64,1)}
      71:{4}:{(65,1)}
      72:{1,4}:{(66,1),(67,1),(77,1)}
      73:{2,3}:{(67,1),(76,1),(77,1)}
      74:{4,5}:{(68,1),(71,1),(78,1),(79,1)}
      75:{3,5,6}:{(68,1),(69,1),(70,1),(79,1)}
      76:{2,4}:{(71,1),(73,1),(78,1)}
      77:{1,2}:{(72,1),(73,1)}
      78:{2,5}:{(74,1),(76,1),(80,1)}
      79:{4,6}:{(74,1),(75,1),(80,1)}
      80:{2,6}:{(78,1),(79,1)}

318 :  0:{1,3,4}:{(2,1),(3,1),(20,1),(75,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(31,1),(51,1),(54,1),(69,1),(70,1)}
       2:{1,3,5}:{(0,1),(8,1),(9,1),(69,1)}
       3:{1,2,3}:{(0,1),(11,1),(79,1)}
       4:{2,3,4}:{(11,1),(12,1),(31,1)}
       5:{4,5,6}:{(13,1),(14,1),(38,1),(64,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(38,1),(61,1)}
       7:{2,3,5}:{(1,1),(15,1),(17,1),(18,1),(40,1),(41,1)}
       8:{1,4,5}:{(1,1),(2,1),(16,1),(17,1),(20,1),(43,1)}
       9:{1,3,6}:{(2,1),(16,1),(61,1)}
      10:{1,2,3,5}:{(2,1),(3,1),(17,1),(19,1),(20,1),(22,1),(41,1),(43,1),(45,1),(63,1)}
      11:{1,2,4}:{(3,1),(4,1),(20,1),(22,1),(76,1)}
      12:{2,3,5}:{(4,1),(21,1),(22,1),(23,1),(45,1)}
      13:{2,5,6}:{(5,1),(24,1),(71,1)}
      14:{3,5,6}:{(5,1),(6,1),(26,1),(54,1)}
      15:{2,3,6}:{(6,1),(7,1),(27,1),(28,1)}
      16:{1,4,6}:{(6,1),(8,1),(9,1),(26,1),(27,1)}
      17:{1,2,5}:{(7,1),(8,1),(27,1),(29,1)}
      18:{2,4}:{(7,1),(70,1)}
      19:{1,2,3,6}:{(9,1),(10,1),(27,1),(30,1),(34,1),(52,1),(56,1)}
      20:{1,4}:{(10,1),(31,1),(70,1)}
      21:{4,5}:{(12,1),(33,1)}
      22:{1,2,5}:{(11,1),(12,1),(32,1),(34,1),(71,1)}
      23:{2,3,6}:{(12,1),(33,1),(34,1),(56,1)}
      24:{2,4,6}:{(13,1),(35,1),(36,1),(38,1),(76,1)}
      25:{2,3,5,6}:{(13,1),(14,1),(15,1),(36,1),(37,1),(38,1),(40,1),(60,1),(61,1),(63,1)}
      26:{1,5,6}:{(14,1),(16,1),(43,1)}
      27:{1,2,6}:{(15,1),(16,1),(17,1)}
      28:{2,4,6}:{(15,1),(18,1),(38,1),(40,1)}
      29:{1,2,4}:{(17,1),(18,1),(20,1),(41,1)}
      30:{1,4,6}:{(19,1),(20,1),(42,1),(43,1)}
      31:{3,4}:{(20,1),(41,1),(45,1)}
      32:{1,4,5}:{(20,1),(21,1),(22,1),(43,1),(45,1),(46,1),(64,1)}
      33:{4,6}:{(21,1),(23,1),(44,1)}
      34:{1,2,6}:{(22,1),(23,1),(46,1),(77,1)}
      35:{2,4,5}:{(24,1),(47,1),(51,1)}
      36:{2,3,6}:{(24,1),(47,1),(48,1),(49,1),(79,1)}
      37:{1,2,5,6}:{(25,1),(26,1),(27,1),(48,1),(50,1),(53,1),(68,1)}
      38:{4,6}:{(25,1),(51,1),(70,1)}
      39:{1,2,4,6}:{(27,1),(28,1),(29,1),(30,1),(50,1),(52,1),(53,1),(70,1)}
      40:{2,5}:{(28,1),(51,1)}
      41:{2,3}:{(29,1),(31,1)}
      42:{3,4,6}:{(30,1),(31,1),(52,1),(54,1),(56,1),(70,1),(72,1)}
      43:{1,5}:{(30,1),(54,1)}
      44:{5,6}:{(33,1)}
      45:{3,5}:{(31,1),(32,1),(56,1)}
      46:{1,4,6}:{(32,1),(33,1),(34,1),(55,1),(56,1),(72,1)}
      47:{2,3,5}:{(35,1),(36,1),(57,1),(58,1),(60,1)}
      48:{1,2,6}:{(36,1),(57,1),(59,1),(80,1)}
      49:{3,4,6}:{(36,1),(38,1),(58,1),(59,1),(60,1),(61,1),(75,1)}
      50:{1,4,6}:{(37,1),(38,1),(61,1),(62,1)}
      51:{4,5}:{(38,1),(40,1),(60,1)}
      52:{2,3,6}:{(39,1),(41,1),(42,1),(61,1),(63,1),(77,1)}
      53:{1,2,5}:{(39,1),(40,1),(43,1),(62,1),(63,1),(80,1)}
      54:{3,5}:{(42,1),(43,1),(64,1)}
      55:{1,5,6}:{(43,1),(44,1),(46,1),(65,1)}
      56:{3,6}:{(45,1),(46,1)}
      57:{1,2,5}:{(47,1),(48,1),(66,1),(68,1)}
      58:{3,4}:{(47,1),(66,1)}
      59:{1,4,6}:{(48,1),(49,1),(66,1),(67,1),(68,1),(78,1)}
      60:{3,5}:{(49,1),(51,1),(68,1)}
      61:{3,6}:{(50,1),(69,1)}
      62:{1,4,5}:{(50,1),(51,1),(53,1),(68,1),(69,1),(70,1),(78,1)}
      63:{2,3,5}:{(52,1),(53,1),(54,1),(69,1),(70,1),(71,1),(79,1)}
      64:{4,5}:{(54,1),(70,1),(71,1),(72,1)}
      65:{3,5,6}:{(54,1),(55,1),(56,1),(72,1)}
      66:{1,4}:{(57,1),(58,1),(73,1)}
      67:{1,3,6}:{(59,1),(61,1),(73,1),(74,1)}
      68:{1,5}:{(59,1),(60,1)}
      69:{3,5}:{(61,1),(62,1),(75,1)}
      70:{4}:{(63,1)}
      71:{2,5}:{(64,1),(76,1),(77,1)}
      72:{4,6}:{(64,1),(65,1),(77,1)}
      73:{1,3}:{(66,1)}
      74:{1,3,5}:{(67,1),(68,1),(69,1),(78,1)}
      75:{3,4}:{(69,1),(70,1),(78,1),(79,1)}
      76:{2,4}:{(70,1),(71,1),(79,1)}
      77:{2,6}:{(71,1),(72,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{2,3}:{(75,1),(76,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

319 :  0:{2,3,4}:{(1,1),(2,1),(31,1)}
       1:{1,2,4}:{(0,1),(5,1),(6,1),(22,1),(75,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1),(20,1)}
       3:{1,3,4}:{(5,1),(8,1),(22,1),(76,1)}
       4:{4,5}:{(2,1),(11,1)}
       5:{1,2,3}:{(1,1),(3,1),(78,1)}
       6:{1,2,5}:{(1,1),(2,1),(10,1),(13,1),(69,1)}
       7:{2,3,6}:{(2,1),(11,1),(13,1),(32,1)}
       8:{1,3,5}:{(3,1),(14,1),(15,1),(71,1)}
       9:{3,4,5}:{(14,1),(16,1),(17,1),(31,1),(53,1),(56,1),(70,1),(71,1)}
      10:{1,4,5}:{(4,1),(6,1),(20,1),(21,1),(22,1),(45,1),(62,1)}
      11:{4,6}:{(4,1),(7,1),(19,1)}
      12:{1,2,3,5}:{(5,1),(6,1),(8,1),(20,1),(22,1),(23,1),(24,1),(42,1),(45,1),(63,1)}
      13:{1,2,6}:{(6,1),(7,1),(21,1),(61,1)}
      14:{1,4,5}:{(8,1),(9,1),(22,1),(24,1),(25,1),(45,1)}
      15:{1,3,6}:{(8,1),(25,1),(65,1)}
      16:{2,3,5}:{(9,1),(24,1),(26,1),(27,1),(42,1),(47,1)}
      17:{3,4,6}:{(9,1),(25,1),(27,1),(28,1),(48,1),(65,1)}
      18:{4,5,6}:{(28,1),(29,1),(48,1),(62,1)}
      19:{5,6}:{(11,1)}
      20:{3,5}:{(10,1),(31,1),(32,1)}
      21:{1,4,6}:{(10,1),(11,1),(13,1),(30,1),(32,1),(51,1)}
      22:{1,4}:{(12,1),(31,1),(70,1)}
      23:{1,2,3,6}:{(12,1),(13,1),(15,1),(32,1),(34,1),(35,1),(52,1)}
      24:{1,2,5}:{(14,1),(16,1),(33,1),(35,1)}
      25:{1,4,6}:{(14,1),(15,1),(17,1),(35,1),(36,1)}
      26:{2,4}:{(16,1),(70,1)}
      27:{2,3,6}:{(16,1),(17,1),(35,1),(37,1)}
      28:{3,5,6}:{(17,1),(18,1),(36,1),(53,1)}
      29:{2,5,6}:{(18,1),(39,1),(69,1)}
      30:{1,5,6}:{(19,1),(21,1),(41,1),(45,1)}
      31:{3,4}:{(20,1),(22,1),(42,1)}
      32:{3,6}:{(20,1),(21,1)}
      33:{1,2,4}:{(22,1),(24,1),(26,1),(42,1)}
      34:{1,4,6}:{(22,1),(23,1),(43,1),(45,1)}
      35:{1,2,6}:{(24,1),(25,1),(27,1)}
      36:{1,5,6}:{(25,1),(28,1),(45,1)}
      37:{2,4,6}:{(26,1),(27,1),(47,1),(48,1)}
      38:{2,3,5,6}:{(27,1),(28,1),(29,1),(46,1),(47,1),(48,1),(49,1),(63,1),(65,1),(66,1)}
      39:{2,4,6}:{(29,1),(40,1),(48,1),(49,1),(75,1)}
      40:{2,4,5}:{(39,1),(50,1),(56,1)}
      41:{3,5,6}:{(30,1),(32,1),(51,1),(53,1)}
      42:{2,3}:{(31,1),(33,1)}
      43:{3,4,6}:{(31,1),(32,1),(34,1),(51,1),(52,1),(53,1),(70,1)}
      44:{1,2,4,6}:{(33,1),(34,1),(35,1),(37,1),(52,1),(54,1),(55,1),(70,1)}
      45:{1,5}:{(34,1),(53,1)}
      46:{1,2,5,6}:{(35,1),(36,1),(38,1),(54,1),(55,1),(58,1),(73,1)}
      47:{2,5}:{(37,1),(56,1)}
      48:{4,6}:{(38,1),(56,1),(70,1)}
      49:{2,3,6}:{(39,1),(50,1),(57,1),(58,1),(78,1)}
      50:{2,3,5}:{(40,1),(49,1),(59,1),(60,1),(66,1)}
      51:{4,6}:{(41,1),(61,1),(62,1)}
      52:{2,3,6}:{(42,1),(43,1),(44,1),(61,1),(63,1),(65,1)}
      53:{3,5}:{(43,1),(45,1),(62,1)}
      54:{1,2,5}:{(44,1),(45,1),(47,1),(63,1),(64,1),(80,1)}
      55:{1,4,6}:{(46,1),(48,1),(64,1),(65,1)}
      56:{4,5}:{(47,1),(48,1),(66,1)}
      57:{3,4,6}:{(48,1),(49,1),(59,1),(65,1),(66,1),(67,1),(76,1)}
      58:{1,2,6}:{(49,1),(60,1),(67,1),(80,1)}
      59:{3,4}:{(50,1),(68,1)}
      60:{1,2,5}:{(50,1),(58,1),(68,1),(73,1)}
      61:{2,6}:{(51,1),(69,1)}
      62:{4,5}:{(51,1),(53,1),(69,1),(70,1)}
      63:{2,3,5}:{(52,1),(53,1),(54,1),(69,1),(70,1),(71,1),(78,1)}
      64:{1,4,5}:{(54,1),(55,1),(56,1),(70,1),(71,1),(73,1),(79,1)}
      65:{3,6}:{(55,1),(71,1)}
      66:{3,5}:{(56,1),(57,1),(73,1)}
      67:{1,4,6}:{(57,1),(58,1),(68,1),(72,1),(73,1),(79,1)}
      68:{1,4}:{(59,1),(60,1),(74,1)}
      69:{2,5}:{(61,1),(62,1),(75,1)}
      70:{4}:{(63,1)}
      71:{3,5}:{(64,1),(65,1),(76,1)}
      72:{1,3,6}:{(65,1),(67,1),(74,1),(77,1)}
      73:{1,5}:{(66,1),(67,1)}
      74:{1,3}:{(68,1)}
      75:{2,4}:{(69,1),(70,1),(78,1)}
      76:{3,4}:{(70,1),(71,1),(78,1),(79,1)}
      77:{1,3,5}:{(71,1),(72,1),(73,1),(79,1)}
      78:{2,3}:{(75,1),(76,1),(80,1)}
      79:{1,4}:{(76,1),(77,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

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

321 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

322 :   0:{1,3,4,6}:{(3,1),(4,1),(6,1),(19,1),(24,1),(151,1),(153,1),(196,1)}
        1:{1,3,5,6}:{(4,1),(6,1),(8,1),(195,1),(196,1)}
        2:{1,4,5,6}:{(6,1),(7,1),(8,1),(22,1),(28,1),(164,1),(166,1),(195,1)}
        3:{1,2,3,6}:{(0,1),(9,1),(10,1),(13,1),(38,1),(70,1),(174,1)}
        4:{1,3,5}:{(0,1),(11,1),(37,1),(176,1)}
        5:{1,2,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(16,1),(30,1),(36,1),(37,1),(38,1),(42,1),(70,1),(79,1),(80,1),(81,1),(89,1),(125,1),(131,1),(140,1),(176,1),(187,1)}
        6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1)}
        7:{1,2,5,6}:{(2,1),(13,1),(15,1),(16,1),(36,1),(89,1),(182,1)}
        8:{3,5,6}:{(2,1),(14,1),(37,1),(187,1)}
        9:{1,2,4,6}:{(3,1),(17,1),(18,1),(19,1),(47,1),(148,1),(150,1),(151,1)}
       10:{1,2,3,5}:{(3,1),(4,1),(18,1),(19,1),(20,1),(49,1),(50,1),(56,1)}
       11:{1,4,5}:{(4,1),(6,1),(19,1),(20,1),(21,1)}
       12:{1,4,6}:{(5,1),(19,1),(22,1),(24,1),(28,1),(108,1),(109,1)}
       13:{1,2,6}:{(6,1),(20,1),(25,1)}
       14:{3,4,6}:{(6,1),(8,1),(21,1),(25,1),(28,1)}
       15:{1,2,4,6}:{(7,1),(26,1),(27,1),(28,1),(63,1),(161,1),(166,1),(168,1)}
       16:{2,3,5,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(56,1),(60,1),(64,1)}
       17:{2,3,4,6}:{(9,1),(29,1),(33,1),(38,1),(66,1),(70,1),(82,1),(121,1),(124,1),(126,1),(132,1)}
       18:{1,2,5}:{(9,1),(29,1),(31,1),(176,1)}
       19:{1,4}:{(10,1),(33,1),(82,1)}
       20:{1,2,5}:{(11,1),(13,1),(32,1),(34,1)}
       21:{3,4,5}:{(11,1),(14,1),(33,1),(34,1),(37,1),(44,1),(82,1)}
       22:{1,4,5}:{(12,1),(36,1),(37,1),(44,1),(82,1),(89,1),(136,1),(176,1)}
       23:{1,2,4,6}:{(12,1),(13,1),(32,1),(36,1),(38,1),(40,1),(82,1),(131,1),(132,1),(133,1)}
       24:{3,4,6}:{(12,1),(33,1),(37,1),(38,1),(70,1),(82,1),(137,1),(187,1)}
       25:{2,3,6}:{(13,1),(14,1),(34,1),(40,1)}
       26:{1,2,4,5}:{(15,1),(36,1),(41,1),(44,1),(82,1),(87,1),(89,1),(133,1),(134,1),(138,1),(142,1)}
       27:{2,3,6}:{(15,1),(41,1),(43,1),(187,1)}
       28:{4,6}:{(16,1),(44,1),(82,1)}
       29:{2,3,5}:{(17,1),(18,1),(46,1),(49,1),(152,1),(158,1)}
       30:{1,2,5,6}:{(18,1),(45,1),(47,1),(147,1),(148,1)}
       31:{1,4,5}:{(18,1),(19,1),(46,1),(47,1),(49,1)}
       32:{1,2,4}:{(19,1),(20,1),(50,1),(52,1)}
       33:{3,4}:{(19,1),(49,1),(50,1)}
       34:{2,3,5}:{(20,1),(21,1),(25,1),(50,1),(52,1),(60,1)}
       35:{1,4,5,6}:{(22,1),(47,1),(54,1),(55,1),(65,1),(91,1),(104,1),(108,1),(118,1),(147,1),(163,1),(166,1),(190,1)}
       36:{1,2,5}:{(22,1),(23,1),(56,1),(60,1),(158,1)}
       37:{3,5}:{(22,1),(24,1)}
       38:{2,3,6}:{(23,1),(24,1),(50,1),(56,1),(159,1)}
       39:{1,3,4,6}:{(24,1),(51,1),(57,1),(58,1),(63,1),(97,1),(104,1),(109,1),(115,1),(151,1),(162,1),(169,1),(203,1)}
       40:{2,4,6}:{(25,1),(28,1),(52,1),(60,1)}
       41:{2,3,5}:{(26,1),(27,1),(62,1),(64,1),(159,1),(165,1)}
       42:{1,2,3,6}:{(27,1),(61,1),(63,1),(168,1),(169,1)}
       43:{3,4,6}:{(27,1),(28,1),(62,1),(63,1),(64,1)}
       44:{4,5}:{(28,1),(60,1),(64,1)}
       45:{2,3,5,6}:{(29,1),(30,1),(66,1),(70,1),(119,1),(120,1),(121,1)}
       46:{4,5}:{(29,1),(66,1),(82,1)}
       47:{1,4,6}:{(30,1),(31,1),(66,1),(70,1)}
       48:{1,2,4,5}:{(31,1),(32,1),(36,1),(67,1),(69,1),(71,1),(75,1),(82,1),(123,1),(127,1),(129,1),(133,1),(136,1),(138,1),(176,1),(181,1),(205,1),(209,1),(224,1)}
       49:{3,5}:{(31,1),(33,1),(70,1)}
       50:{2,3}:{(32,1),(33,1)}
       51:{1,3,4}:{(33,1),(72,1),(73,1),(127,1),(223,1)}
       52:{2,4}:{(34,1),(82,1)}
       53:{3,4,5}:{(37,1),(76,1),(77,1),(78,1),(82,1),(136,1),(137,1),(185,1),(209,1)}
       54:{1,2,5,6}:{(35,1),(36,1),(69,1),(79,1),(85,1),(119,1),(131,1),(176,1),(181,1)}
       55:{3,5,6}:{(35,1),(37,1),(70,1),(76,1),(185,1),(187,1),(204,1)}
       56:{2,3,5}:{(36,1),(37,1),(38,1),(82,1)}
       57:{1,3,5}:{(37,1),(39,1),(78,1),(89,1),(176,1),(185,1),(214,1)}
       58:{1,2,3,6}:{(38,1),(39,1),(73,1),(81,1),(83,1),(131,1),(141,1),(180,1),(187,1)}
       59:{2,3,4,6}:{(38,1),(40,1),(43,1),(74,1),(82,1),(83,1),(84,1),(86,1),(126,1),(130,1),(132,1),(137,1),(139,1),(143,1),(180,1),(187,1),(209,1),(211,1),(226,1)}
       60:{2,5}:{(40,1),(44,1)}
       61:{1,2,3,5}:{(41,1),(42,1),(87,1),(89,1),(141,1),(142,1),(144,1)}
       62:{3,4}:{(41,1),(82,1),(87,1)}
       63:{1,4,6}:{(42,1),(43,1),(87,1),(89,1)}
       64:{3,5}:{(43,1),(44,1),(89,1)}
       65:{4,5,6}:{(44,1),(85,1),(90,1),(139,1),(227,1)}
       66:{4,6}:{(45,1),(46,1)}
       67:{2,4,5}:{(46,1),(92,1),(94,1),(106,1),(158,1),(191,1)}
       68:{3,4,5}:{(46,1),(49,1),(93,1),(94,1),(95,1),(99,1),(152,1),(191,1),(215,1)}
       69:{1,2,4,6}:{(47,1),(48,1),(54,1),(92,1),(96,1),(102,1),(108,1),(148,1),(151,1),(156,1),(166,1),(190,1)}
       70:{3,6}:{(47,1),(49,1)}
       71:{2,3,5}:{(48,1),(49,1),(50,1),(96,1),(99,1),(152,1),(159,1),(165,1),(215,1),(228,1)}
       72:{1,3,5}:{(49,1),(51,1),(95,1),(97,1),(215,1)}
       73:{1,2,3}:{(50,1),(51,1),(100,1),(228,1)}
       74:{2,3,4}:{(50,1),(52,1),(99,1),(100,1),(101,1),(219,1),(228,1)}
       75:{2,4,5}:{(52,1),(60,1),(101,1),(102,1),(110,1),(219,1),(229,1)}
       76:{3,4,6}:{(53,1),(55,1),(103,1),(104,1),(108,1)}
       77:{2,3,5}:{(53,1),(103,1),(105,1),(106,1),(158,1),(159,1)}
       78:{1,4,5}:{(53,1),(57,1),(104,1),(105,1),(109,1)}
       79:{2,3,5,6}:{(54,1),(55,1),(56,1),(96,1),(103,1),(108,1),(152,1),(158,1),(197,1)}
       80:{1,3,5,6}:{(55,1),(57,1),(97,1),(104,1),(118,1),(147,1),(169,1)}
       81:{1,2,3,5}:{(56,1),(57,1),(58,1),(105,1),(109,1),(111,1),(159,1),(165,1),(197,1)}
       82:{4}:{(56,1)}
       83:{1,2,4,6}:{(58,1),(59,1),(63,1),(100,1),(109,1),(111,1),(113,1),(151,1),(156,1),(166,1),(168,1),(203,1)}
       84:{2,3,5}:{(59,1),(60,1),(64,1),(110,1),(111,1),(152,1),(158,1),(165,1),(221,1),(229,1)}
       85:{2,5,6}:{(60,1),(65,1),(102,1),(229,1)}
       86:{2,3,4}:{(62,1),(106,1),(113,1),(114,1),(159,1),(199,1)}
       87:{1,4}:{(61,1),(62,1)}
       88:{3,4,5}:{(62,1),(64,1),(110,1),(114,1),(116,1),(117,1),(165,1),(199,1),(221,1)}
       89:{1,5}:{(63,1),(64,1)}
       90:{3,5,6}:{(64,1),(65,1),(117,1),(118,1),(221,1)}
       91:{4,5,6}:{(66,1),(119,1),(120,1),(136,1),(171,1)}
       92:{2,4,6}:{(66,1),(67,1),(119,1),(121,1),(171,1)}
       93:{3,4,6}:{(66,1),(68,1),(70,1),(120,1),(121,1),(122,1),(171,1),(204,1)}
       94:{2,3,5}:{(67,1),(68,1),(121,1),(123,1),(124,1)}
       95:{1,4,5}:{(68,1),(72,1),(122,1),(123,1),(127,1),(176,1)}
       96:{2,3,6}:{(69,1),(70,1),(71,1),(126,1),(187,1),(204,1)}
       97:{1,3,6}:{(70,1),(72,1),(122,1),(204,1)}
       98:{1,2,3,5}:{(71,1),(72,1),(73,1),(123,1),(125,1),(127,1),(129,1),(174,1),(176,1),(178,1)}
       99:{3,4}:{(71,1),(82,1),(127,1),(209,1)}
      100:{1,2,4}:{(73,1),(74,1),(127,1),(129,1)}
      101:{2,3,5}:{(74,1),(75,1),(128,1),(129,1),(130,1)}
      102:{2,4,6}:{(75,1),(85,1),(130,1),(139,1)}
      103:{2,3,6}:{(76,1),(77,1),(131,1),(132,1)}
      104:{1,4,6}:{(76,1),(78,1),(80,1),(131,1)}
      105:{1,2,5}:{(77,1),(78,1),(131,1),(133,1)}
      106:{2,4}:{(77,1),(82,1),(209,1)}
      107:{1,2,3,5,6}:{(79,1),(80,1),(81,1),(125,1),(131,1),(135,1),(140,1),(170,1),(176,1),(180,1),(181,1),(185,1),(187,1),(189,1),(204,1),(206,1),(208,1),(210,1),(214,1),(225,1)}
      108:{4,6}:{(79,1),(82,1),(136,1),(209,1)}
      109:{1,4}:{(81,1),(82,1),(137,1),(209,1)}
      110:{4,5}:{(82,1),(84,1),(139,1),(209,1)}
      111:{1,2,5}:{(83,1),(84,1),(89,1),(138,1),(176,1),(214,1)}
      112:{2,3,5,6}:{(84,1),(85,1),(90,1),(130,1),(139,1),(140,1),(143,1),(177,1),(182,1),(187,1)}
      113:{1,2,4}:{(86,1),(87,1),(141,1),(142,1),(188,1)}
      114:{2,3,5}:{(86,1),(88,1),(134,1),(142,1),(143,1)}
      115:{1,3,4}:{(87,1),(137,1),(141,1),(144,1),(188,1)}
      116:{1,4,5}:{(87,1),(88,1),(89,1),(142,1),(144,1),(145,1),(188,1),(214,1)}
      117:{3,4,6}:{(88,1),(90,1),(139,1),(143,1),(145,1),(187,1)}
      118:{1,5,6}:{(89,1),(90,1),(145,1),(214,1)}
      119:{2,5,6}:{(91,1),(92,1),(158,1)}
      120:{3,5,6}:{(91,1),(93,1),(147,1),(152,1)}
      121:{2,3,6}:{(92,1),(93,1),(94,1),(148,1)}
      122:{1,4,6}:{(93,1),(95,1),(97,1),(147,1),(148,1)}
      123:{1,2,5}:{(94,1),(95,1),(148,1),(150,1)}
      124:{2,3,4}:{(94,1),(99,1),(106,1),(150,1),(159,1)}
      125:{1,2,3,6}:{(96,1),(97,1),(98,1),(148,1),(151,1),(156,1),(196,1)}
      126:{3,4,6}:{(96,1),(99,1),(108,1),(151,1),(152,1)}
      127:{1,4}:{(98,1),(99,1)}
      128:{3,4,5}:{(99,1),(101,1),(110,1),(152,1),(154,1),(155,1),(165,1)}
      129:{1,2,5}:{(100,1),(101,1),(154,1),(156,1)}
      130:{2,3,6}:{(101,1),(102,1),(155,1),(156,1)}
      131:{1,2,6}:{(103,1),(104,1),(105,1)}
      132:{2,4,6}:{(103,1),(106,1),(108,1),(158,1)}
      133:{1,2,4}:{(105,1),(106,1),(109,1),(159,1)}
      134:{2,4,5}:{(106,1),(110,1),(114,1),(158,1),(161,1)}
      135:{1,4,6}:{(107,1),(108,1),(109,1),(162,1),(163,1),(216,1),(220,1)}
      136:{4,5}:{(108,1),(152,1),(158,1)}
      137:{3,4}:{(109,1),(159,1),(165,1)}
      138:{1,4,5}:{(109,1),(110,1),(111,1),(165,1),(166,1)}
      139:{4,6}:{(110,1),(112,1)}
      140:{1,2,5,6}:{(111,1),(112,1),(118,1),(156,1),(166,1),(168,1),(195,1)}
      141:{1,2,3}:{(113,1),(115,1),(159,1)}
      142:{1,2,5}:{(113,1),(114,1),(116,1),(168,1)}
      143:{2,3,6}:{(114,1),(117,1),(161,1),(168,1)}
      144:{1,3,5}:{(115,1),(116,1),(165,1),(169,1)}
      145:{1,4,6}:{(116,1),(117,1),(118,1),(168,1),(169,1)}
      146:{2,3,5,6}:{(119,1),(120,1),(121,1),(170,1),(171,1),(173,1),(204,1)}
      147:{1,5,6}:{(120,1),(122,1),(176,1)}
      148:{1,2,6}:{(121,1),(122,1),(123,1)}
      149:{2,3,4,6}:{(121,1),(124,1),(126,1),(132,1),(171,1),(172,1),(173,1),(180,1),(204,1),(209,1),(223,1)}
      150:{1,2,4}:{(123,1),(124,1),(127,1),(174,1)}
      151:{1,4,6}:{(125,1),(126,1),(127,1),(176,1)}
      152:{3,5}:{(126,1),(136,1),(176,1)}
      153:{1,3,4}:{(127,1),(137,1),(174,1),(178,1)}
      154:{1,4,5}:{(127,1),(128,1),(129,1),(176,1),(178,1),(179,1)}
      155:{3,4,6}:{(128,1),(130,1),(139,1),(177,1),(179,1),(187,1)}
      156:{1,2,6}:{(129,1),(130,1),(179,1)}
      157:{1,2,4,6}:{(131,1),(132,1),(133,1),(135,1),(180,1),(181,1),(209,1),(224,1),(225,1),(226,1)}
      158:{2,5}:{(132,1),(136,1)}
      159:{2,3}:{(133,1),(137,1)}
      160:{1,2,4,5}:{(133,1),(134,1),(138,1),(142,1),(181,1),(183,1),(184,1),(188,1),(209,1),(214,1),(227,1)}
      161:{2,4,6}:{(134,1),(139,1),(143,1),(182,1)}
      162:{3,4,6}:{(135,1),(137,1),(180,1),(185,1),(187,1),(204,1),(209,1),(223,1)}
      163:{1,4,5}:{(135,1),(136,1),(176,1),(181,1),(185,1),(209,1),(214,1),(227,1)}
      164:{4,5,6}:{(136,1),(139,1),(177,1),(182,1)}
      165:{3,5}:{(137,1),(138,1),(187,1)}
      166:{1,4,6}:{(138,1),(139,1),(140,1),(187,1)}
      167:{1,2,3,5}:{(141,1),(142,1),(144,1),(183,1),(188,1),(189,1),(214,1)}
      168:{1,2,6}:{(142,1),(143,1),(145,1)}
      169:{1,3,6}:{(144,1),(145,1),(187,1)}
      170:{1,2,5,6}:{(146,1),(147,1),(148,1),(190,1),(193,1)}
      171:{4,6}:{(146,1),(191,1)}
      172:{1,2,4,6}:{(148,1),(149,1),(150,1),(151,1),(190,1),(192,1),(193,1),(216,1)}
      173:{2,3,5}:{(149,1),(152,1),(158,1),(191,1),(193,1),(215,1)}
      174:{1,2,3}:{(150,1),(153,1),(159,1)}
      175:{1,3,4,6}:{(151,1),(153,1),(162,1),(192,1),(194,1),(196,1),(216,1),(218,1)}
      176:{1,5}:{(151,1),(152,1)}
      177:{3,5,6}:{(152,1),(155,1),(164,1),(195,1)}
      178:{1,3,5}:{(153,1),(154,1),(165,1),(196,1)}
      179:{1,4,6}:{(154,1),(155,1),(156,1),(195,1),(196,1)}
      180:{2,3,6}:{(157,1),(159,1),(162,1),(197,1),(228,1)}
      181:{1,2,5}:{(157,1),(158,1),(163,1),(197,1),(229,1)}
      182:{2,5,6}:{(158,1),(161,1),(164,1)}
      183:{2,3,5}:{(159,1),(160,1),(165,1),(199,1),(200,1),(221,1)}
      184:{1,2,4,6}:{(160,1),(161,1),(166,1),(168,1),(198,1),(200,1),(203,1),(220,1)}
      185:{3,5}:{(162,1),(163,1)}
      186:{1,4,5,6}:{(163,1),(164,1),(166,1),(195,1),(198,1),(202,1),(218,1),(220,1)}
      187:{3,6}:{(165,1),(166,1)}
      188:{1,4}:{(167,1),(199,1)}
      189:{1,2,3,6}:{(167,1),(168,1),(169,1),(200,1),(203,1)}
      190:{1,4,6}:{(170,1),(171,1),(204,1),(205,1)}
      191:{4,5}:{(171,1),(173,1),(209,1)}
      192:{1,2,3,6}:{(172,1),(174,1),(175,1),(180,1),(204,1),(206,1),(225,1)}
      193:{1,2,5}:{(172,1),(173,1),(176,1),(205,1)}
      194:{1,3,5}:{(175,1),(176,1),(185,1),(207,1)}
      195:{1,5,6}:{(176,1),(177,1),(179,1)}
      196:{1,3,6}:{(178,1),(179,1),(187,1)}
      197:{2,3,5}:{(180,1),(181,1),(185,1),(209,1)}
      198:{1,2,5,6}:{(181,1),(182,1),(184,1),(186,1),(210,1),(214,1),(225,1)}
      199:{3,4}:{(183,1),(188,1),(209,1)}
      200:{2,3,6}:{(183,1),(184,1),(187,1),(211,1)}
      201:{3,4,5}:{(185,1),(207,1),(209,1),(212,1),(213,1),(223,1),(227,1)}
      202:{3,5,6}:{(185,1),(186,1),(187,1),(213,1)}
      203:{1,4,6}:{(188,1),(189,1),(211,1),(214,1)}
      204:{3,6}:{(190,1),(215,1)}
      205:{1,4,5}:{(190,1),(191,1),(193,1),(215,1),(216,1)}
      206:{1,2,3,5}:{(192,1),(193,1),(194,1),(197,1),(215,1),(216,1),(217,1),(228,1)}
      207:{1,4,5}:{(194,1),(201,1),(216,1),(217,1),(218,1)}
      208:{1,3,5,6}:{(194,1),(195,1),(196,1),(202,1),(218,1)}
      209:{4}:{(197,1)}
      210:{2,3,5,6}:{(197,1),(198,1),(200,1),(202,1),(220,1),(221,1),(222,1),(229,1)}
      211:{3,4,6}:{(199,1),(200,1),(203,1),(220,1),(221,1)}
      212:{2,3,5}:{(201,1),(217,1),(219,1),(222,1),(228,1),(229,1)}
      213:{3,4,6}:{(201,1),(202,1),(218,1),(220,1),(222,1)}
      214:{1,5}:{(203,1),(221,1)}
      215:{3,5}:{(204,1),(205,1),(223,1)}
      216:{1,4}:{(206,1),(209,1),(223,1)}
      217:{1,2,5}:{(207,1),(212,1),(224,1),(225,1)}
      218:{1,4,6}:{(207,1),(208,1),(213,1),(225,1)}
      219:{2,4}:{(209,1),(212,1)}
      220:{4,6}:{(209,1),(210,1),(227,1)}
      221:{3,5}:{(211,1),(214,1),(227,1)}
      222:{2,3,6}:{(212,1),(213,1),(225,1),(226,1)}
      223:{3,4}:{(215,1),(216,1),(228,1)}
      224:{1,2,4}:{(216,1),(217,1),(219,1),(228,1)}
      225:{1,2,6}:{(217,1),(218,1),(222,1)}
      226:{2,4,6}:{(219,1),(220,1),(222,1),(229,1)}
      227:{4,5}:{(220,1),(221,1),(229,1)}
      228:{2,3}:{(223,1),(224,1)}
      229:{2,5}:{(226,1),(227,1)}

323 :   0:{1,2,3,5,6}:{(1,1),(6,1),(7,1),(8,1),(23,1),(24,1),(25,1),(43,1),(47,1),(56,1),(81,1),(92,1)}
        1:{1,4,6}:{(0,1),(2,1),(4,1),(37,1),(38,1)}
        2:{1,4,5}:{(1,1),(6,1),(7,1),(26,1),(52,1),(81,1)}
        3:{1,2,4,6}:{(1,1),(6,1),(8,1),(26,1),(47,1),(48,1),(49,1)}
        4:{3,4,6}:{(1,1),(7,1),(8,1),(26,1),(53,1),(92,1)}
        5:{1,4,5,6}:{(2,1),(12,1),(13,1),(33,1),(37,1),(71,1),(72,1),(74,1),(100,1),(122,1)}
        6:{1,2,5}:{(2,1),(3,1),(14,1),(66,1)}
        7:{3,5}:{(2,1),(4,1)}
        8:{2,3,6}:{(3,1),(4,1),(14,1),(67,1)}
        9:{1,3,4,6}:{(4,1),(15,1),(16,1),(33,1),(38,1),(60,1),(62,1),(70,1),(101,1),(125,1)}
       10:{1,2,4,5}:{(6,1),(18,1),(19,1),(26,1),(45,1),(49,1),(50,1),(52,1),(54,1),(78,1),(81,1),(86,1),(108,1),(116,1),(134,1)}
       11:{3,4,5}:{(7,1),(20,1),(21,1),(22,1),(26,1),(52,1),(53,1),(90,1),(116,1)}
       12:{1,2,5,6}:{(5,1),(6,1),(18,1),(23,1),(47,1),(81,1),(86,1),(87,1)}
       13:{3,5,6}:{(5,1),(7,1),(20,1),(90,1),(92,1),(133,1)}
       14:{2,3,5}:{(6,1),(7,1),(8,1),(26,1)}
       15:{1,3,5}:{(7,1),(9,1),(22,1),(81,1),(90,1),(136,1)}
       16:{1,2,3,6}:{(8,1),(9,1),(25,1),(27,1),(47,1),(77,1),(85,1),(92,1)}
       17:{2,3,4,6}:{(8,1),(26,1),(27,1),(28,1),(42,1),(44,1),(48,1),(53,1),(55,1),(79,1),(85,1),(92,1),(116,1),(118,1),(138,1)}
       18:{1,2,4,6}:{(10,1),(12,1),(29,1),(37,1),(60,1),(69,1),(74,1),(98,1),(122,1)}
       19:{2,3,5}:{(10,1),(29,1),(31,1),(61,1),(67,1),(73,1),(121,1),(140,1)}
       20:{3,4,6}:{(11,1),(13,1),(32,1),(33,1),(37,1)}
       21:{2,3,5}:{(11,1),(32,1),(34,1),(35,1),(66,1),(67,1)}
       22:{1,4,5}:{(11,1),(15,1),(33,1),(34,1),(38,1)}
       23:{2,3,5,6}:{(12,1),(13,1),(14,1),(29,1),(32,1),(37,1),(61,1),(66,1),(102,1)}
       24:{1,3,5,6}:{(13,1),(15,1),(33,1),(100,1),(101,1)}
       25:{1,2,3,5}:{(14,1),(15,1),(16,1),(34,1),(38,1),(40,1),(67,1),(73,1),(102,1)}
       26:{4}:{(14,1)}
       27:{1,2,4,6}:{(16,1),(17,1),(38,1),(40,1),(58,1),(60,1),(74,1),(98,1),(125,1)}
       28:{2,3,5}:{(17,1),(39,1),(40,1),(61,1),(66,1),(73,1),(130,1),(144,1)}
       29:{2,3,6}:{(18,1),(19,1),(44,1),(92,1),(133,1)}
       30:{1,2,3,5}:{(19,1),(43,1),(45,1),(77,1),(78,1),(81,1),(83,1)}
       31:{3,4}:{(19,1),(26,1),(45,1),(116,1)}
       32:{2,3,6}:{(20,1),(21,1),(47,1),(48,1)}
       33:{1,4,6}:{(20,1),(22,1),(24,1),(47,1)}
       34:{1,2,5}:{(21,1),(22,1),(47,1),(49,1)}
       35:{2,4}:{(21,1),(26,1),(116,1)}
       36:{1,2,3,5,6}:{(23,1),(24,1),(25,1),(43,1),(47,1),(51,1),(56,1),(81,1),(85,1),(86,1),(90,1),(92,1),(110,1),(111,1),(113,1),(115,1),(117,1),(133,1),(136,1),(137,1)}
       37:{4,6}:{(23,1),(26,1),(52,1),(116,1)}
       38:{1,4}:{(25,1),(26,1),(53,1),(116,1)}
       39:{4,5}:{(26,1),(28,1),(55,1),(116,1)}
       40:{1,2,5}:{(27,1),(28,1),(54,1),(81,1),(136,1)}
       41:{2,3,5,6}:{(28,1),(55,1),(56,1),(79,1),(82,1),(87,1),(92,1)}
       42:{2,3,4}:{(31,1),(35,1),(58,1),(59,1),(67,1),(104,1),(128,1),(140,1)}
       43:{1,2,3,6}:{(29,1),(30,1),(60,1),(98,1),(101,1)}
       44:{3,4,6}:{(29,1),(31,1),(37,1),(60,1),(61,1)}
       45:{1,4}:{(30,1),(31,1)}
       46:{3,4,5}:{(31,1),(39,1),(59,1),(61,1),(63,1),(64,1),(73,1),(93,1),(104,1),(121,1),(130,1)}
       47:{1,2,6}:{(32,1),(33,1),(34,1)}
       48:{2,4,6}:{(32,1),(35,1),(37,1),(66,1)}
       49:{1,2,4}:{(34,1),(35,1),(38,1),(67,1)}
       50:{2,4,5}:{(35,1),(39,1),(59,1),(66,1),(69,1),(93,1),(128,1),(144,1)}
       51:{1,4,6}:{(36,1),(37,1),(38,1),(70,1),(71,1),(123,1),(129,1)}
       52:{4,5}:{(37,1),(61,1),(66,1)}
       53:{3,4}:{(38,1),(67,1),(73,1)}
       54:{1,4,5}:{(38,1),(39,1),(40,1),(73,1),(74,1)}
       55:{4,6}:{(39,1),(41,1)}
       56:{1,2,5,6}:{(40,1),(41,1),(74,1),(98,1),(100,1)}
       57:{2,3,4,6}:{(42,1),(44,1),(48,1),(75,1),(76,1),(79,1),(85,1),(109,1),(116,1),(118,1),(132,1),(133,1),(138,1),(145,1),(149,1)}
       58:{1,2,4}:{(42,1),(45,1),(77,1),(78,1),(112,1)}
       59:{2,3,5}:{(42,1),(46,1),(50,1),(78,1),(79,1)}
       60:{1,4,6}:{(43,1),(44,1),(45,1),(81,1)}
       61:{3,5}:{(44,1),(52,1),(81,1)}
       62:{1,3,4}:{(45,1),(53,1),(77,1),(83,1),(112,1),(132,1)}
       63:{1,4,5}:{(45,1),(46,1),(78,1),(81,1),(83,1),(84,1),(112,1),(136,1)}
       64:{3,4,6}:{(46,1),(55,1),(79,1),(82,1),(84,1),(92,1),(109,1),(133,1)}
       65:{1,2,4,6}:{(47,1),(48,1),(49,1),(51,1),(85,1),(86,1),(116,1),(134,1),(137,1),(138,1)}
       66:{2,5}:{(48,1),(52,1)}
       67:{2,3}:{(49,1),(53,1)}
       68:{1,2,4,5}:{(49,1),(50,1),(54,1),(78,1),(86,1),(88,1),(89,1),(108,1),(112,1),(116,1),(134,1),(136,1),(139,1),(147,1),(149,1)}
       69:{2,4,6}:{(50,1),(55,1),(79,1),(87,1),(109,1)}
       70:{3,4,6}:{(51,1),(53,1),(85,1),(90,1),(92,1),(116,1),(132,1),(133,1)}
       71:{1,4,5}:{(51,1),(52,1),(81,1),(86,1),(90,1),(116,1),(136,1),(139,1)}
       72:{4,5,6}:{(52,1),(55,1),(82,1),(87,1),(109,1),(139,1)}
       73:{3,5}:{(53,1),(54,1),(92,1)}
       74:{1,4,6}:{(54,1),(55,1),(56,1),(92,1)}
       75:{1,2,4,6}:{(57,1),(58,1),(60,1),(94,1),(95,1),(98,1),(122,1),(123,1),(125,1)}
       76:{2,3,5}:{(57,1),(61,1),(66,1),(93,1),(95,1),(121,1),(130,1),(144,1)}
       77:{1,2,3}:{(58,1),(62,1),(67,1),(140,1)}
       78:{1,2,5}:{(58,1),(59,1),(63,1),(98,1)}
       79:{2,3,6}:{(59,1),(64,1),(69,1),(98,1)}
       80:{1,3,4,6}:{(60,1),(62,1),(70,1),(94,1),(99,1),(101,1),(123,1),(125,1),(127,1),(141,1)}
       81:{1,5}:{(60,1),(61,1)}
       82:{3,5,6}:{(61,1),(64,1),(72,1),(100,1),(130,1)}
       83:{1,3,5}:{(62,1),(63,1),(73,1),(101,1),(121,1)}
       84:{1,4,6}:{(63,1),(64,1),(98,1),(100,1),(101,1)}
       85:{2,3,6}:{(65,1),(67,1),(70,1),(102,1),(140,1)}
       86:{1,2,5}:{(65,1),(66,1),(71,1),(102,1),(144,1)}
       87:{2,5,6}:{(66,1),(69,1),(72,1),(144,1)}
       88:{2,3,5}:{(67,1),(68,1),(73,1),(104,1),(105,1),(121,1),(130,1),(140,1)}
       89:{1,2,4,6}:{(68,1),(69,1),(74,1),(98,1),(103,1),(105,1),(122,1),(125,1),(129,1)}
       90:{3,5}:{(70,1),(71,1)}
       91:{1,4,5,6}:{(71,1),(72,1),(74,1),(100,1),(103,1),(107,1),(122,1),(127,1),(129,1),(143,1)}
       92:{3,6}:{(73,1),(74,1)}
       93:{4,5}:{(76,1),(109,1),(116,1),(149,1)}
       94:{1,2,3,6}:{(75,1),(77,1),(80,1),(85,1),(110,1),(133,1),(137,1),(145,1)}
       95:{1,2,5}:{(75,1),(76,1),(81,1),(108,1),(136,1)}
       96:{2,3,5,6}:{(76,1),(79,1),(82,1),(87,1),(109,1),(111,1),(133,1)}
       97:{1,2,3,5}:{(77,1),(78,1),(83,1),(88,1),(112,1),(113,1),(136,1)}
       98:{1,2,6}:{(78,1),(79,1),(84,1)}
       99:{1,3,5}:{(80,1),(81,1),(90,1),(114,1),(136,1),(146,1)}
      100:{1,5,6}:{(81,1),(82,1),(84,1),(136,1)}
      101:{1,3,6}:{(83,1),(84,1),(92,1),(133,1)}
      102:{2,3,5}:{(85,1),(86,1),(90,1),(116,1)}
      103:{1,2,5,6}:{(86,1),(87,1),(89,1),(91,1),(117,1),(136,1),(137,1),(147,1)}
      104:{3,4}:{(88,1),(112,1),(116,1),(149,1)}
      105:{2,3,6}:{(88,1),(89,1),(92,1),(118,1),(133,1)}
      106:{3,4,5}:{(90,1),(114,1),(116,1),(119,1),(120,1),(132,1),(139,1),(146,1),(149,1)}
      107:{3,5,6}:{(90,1),(91,1),(92,1),(120,1),(133,1),(146,1)}
      108:{1,4,5}:{(93,1),(95,1),(121,1),(122,1),(123,1)}
      109:{4,6}:{(93,1),(96,1)}
      110:{1,2,3,5}:{(94,1),(95,1),(99,1),(102,1),(121,1),(123,1),(126,1),(140,1),(148,1)}
      111:{1,2,5,6}:{(95,1),(96,1),(98,1),(100,1),(122,1)}
      112:{1,4}:{(97,1),(104,1)}
      113:{1,2,3,6}:{(97,1),(98,1),(101,1),(105,1),(125,1)}
      114:{1,4,5}:{(99,1),(106,1),(123,1),(126,1),(127,1)}
      115:{1,3,5,6}:{(99,1),(100,1),(101,1),(107,1),(127,1)}
      116:{4}:{(102,1)}
      117:{2,3,5,6}:{(102,1),(103,1),(105,1),(107,1),(129,1),(130,1),(131,1),(144,1),(148,1)}
      118:{3,4,6}:{(104,1),(105,1),(125,1),(129,1),(130,1)}
      119:{2,3,5}:{(106,1),(126,1),(128,1),(131,1),(140,1),(144,1)}
      120:{3,4,6}:{(106,1),(107,1),(127,1),(129,1),(131,1)}
      121:{3,5}:{(108,1),(132,1),(133,1)}
      122:{1,4,6}:{(108,1),(109,1),(111,1),(133,1)}
      123:{1,4}:{(110,1),(116,1),(132,1),(149,1)}
      124:{1,2,3,5,6}:{(110,1),(111,1),(113,1),(115,1),(117,1),(133,1),(135,1),(136,1),(137,1),(145,1),(146,1),(147,1)}
      125:{1,4,6}:{(112,1),(113,1),(118,1),(136,1)}
      126:{1,2,5}:{(114,1),(119,1),(134,1),(137,1)}
      127:{1,4,6}:{(114,1),(115,1),(120,1),(137,1)}
      128:{2,4}:{(116,1),(119,1),(149,1)}
      129:{4,6}:{(116,1),(117,1),(139,1),(149,1)}
      130:{3,5}:{(118,1),(136,1),(139,1)}
      131:{2,3,6}:{(119,1),(120,1),(137,1),(138,1)}
      132:{3,4}:{(121,1),(123,1),(140,1)}
      133:{3,6}:{(121,1),(122,1)}
      134:{1,2,4}:{(123,1),(126,1),(128,1),(140,1)}
      135:{1,4,6}:{(123,1),(124,1),(129,1),(141,1),(143,1)}
      136:{1,5}:{(125,1),(130,1)}
      137:{1,2,6}:{(126,1),(127,1),(131,1)}
      138:{2,4,6}:{(128,1),(129,1),(131,1),(144,1)}
      139:{4,5}:{(129,1),(130,1),(144,1)}
      140:{2,3}:{(132,1),(134,1)}
      141:{3,4,6}:{(132,1),(133,1),(135,1),(145,1),(146,1),(149,1)}
      142:{1,2,4,6}:{(134,1),(135,1),(137,1),(138,1),(145,1),(147,1),(149,1)}
      143:{1,4,5}:{(135,1),(136,1),(139,1),(146,1),(147,1),(149,1)}
      144:{2,5}:{(138,1),(139,1)}
      145:{2,3,6}:{(140,1),(141,1),(142,1),(148,1)}
      146:{3,5}:{(141,1),(143,1)}
      147:{1,2,5}:{(142,1),(143,1),(144,1),(148,1)}
      148:{2,3,5}:{(145,1),(146,1),(147,1),(149,1)}
      149:{4}:{(148,1)}

324 :   0:{2,3,4}:{(4,1),(5,1),(34,1),(196,1),(197,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(22,1),(34,1),(67,1),(84,1)}
        2:{2,4,5}:{(5,1),(9,1),(22,1),(195,1),(196,1)}
        3:{2,3,4,6}:{(0,1),(10,1),(11,1),(14,1),(38,1),(42,1),(57,1),(92,1),(97,1),(98,1),(112,1),(158,1),(159,1),(163,1),(219,1)}
        4:{1,2,4}:{(0,1),(12,1),(13,1),(45,1)}
        5:{2,3,5}:{(0,1),(1,1),(2,1),(13,1),(14,1)}
        6:{1,4,5}:{(1,1),(13,1),(16,1),(17,1),(45,1),(102,1)}
        7:{3,4,6}:{(1,1),(14,1),(15,1),(17,1),(42,1),(98,1)}
        8:{1,2,4,5}:{(2,1),(13,1),(19,1),(20,1),(41,1),(45,1),(85,1),(88,1),(99,1),(102,1),(113,1),(161,1),(162,1),(166,1),(219,1)}
        9:{2,4,6}:{(2,1),(14,1),(18,1),(42,1)}
       10:{1,2,4,6}:{(3,1),(4,1),(23,1),(24,1),(27,1),(61,1),(68,1),(69,1),(72,1),(123,1),(184,1)}
       11:{2,3,5}:{(3,1),(22,1),(24,1),(67,1),(84,1),(143,1),(190,1),(195,1)}
       12:{1,2,3}:{(4,1),(21,1),(197,1)}
       13:{1,2,5}:{(4,1),(5,1),(6,1),(27,1)}
       14:{2,3,6}:{(5,1),(7,1),(9,1),(27,1)}
       15:{3,5,6}:{(7,1),(28,1),(29,1),(84,1)}
       16:{1,3,5}:{(6,1),(30,1),(31,1),(67,1)}
       17:{1,4,6}:{(6,1),(7,1),(27,1),(29,1),(31,1)}
       18:{2,5,6}:{(9,1),(32,1),(195,1)}
       19:{2,3,5}:{(8,1),(34,1),(35,1),(67,1),(84,1),(128,1),(193,1),(197,1)}
       20:{1,2,4,6}:{(8,1),(9,1),(27,1),(33,1),(35,1),(68,1),(72,1),(82,1),(115,1),(119,1),(180,1)}
       21:{1,3,4}:{(12,1),(37,1),(45,1),(167,1)}
       22:{4,5}:{(11,1),(42,1),(219,1)}
       23:{1,2,3,6}:{(10,1),(12,1),(36,1),(43,1),(90,1),(98,1),(148,1),(159,1)}
       24:{1,2,5}:{(10,1),(11,1),(41,1),(102,1),(214,1)}
       25:{2,3,5,6}:{(11,1),(14,1),(15,1),(18,1),(42,1),(44,1),(47,1),(53,1),(92,1),(98,1)}
       26:{1,2,3,5}:{(12,1),(13,1),(16,1),(19,1),(37,1),(45,1),(46,1),(50,1),(88,1),(102,1)}
       27:{1,2,6}:{(13,1),(14,1),(17,1)}
       28:{4,5,6}:{(15,1),(42,1),(47,1),(113,1)}
       29:{1,5,6}:{(15,1),(17,1),(102,1)}
       30:{1,3,4}:{(16,1),(45,1),(50,1),(97,1)}
       31:{1,3,6}:{(16,1),(17,1),(98,1)}
       32:{4,5,6}:{(18,1),(42,1),(53,1),(164,1)}
       33:{1,2,5,6}:{(18,1),(20,1),(54,1),(55,1),(102,1),(145,1),(161,1),(170,1)}
       34:{3,4}:{(19,1),(45,1),(219,1)}
       35:{2,3,6}:{(19,1),(20,1),(57,1),(98,1),(210,1)}
       36:{1,3,4,6}:{(21,1),(23,1),(58,1),(60,1),(69,1),(72,1),(118,1),(121,1),(129,1),(182,1),(184,1)}
       37:{1,3,5}:{(21,1),(59,1),(60,1),(193,1)}
       38:{2,3,4}:{(61,1),(62,1),(126,1),(202,1),(249,1)}
       39:{3,4,5}:{(22,1),(62,1),(63,1),(64,1),(67,1),(126,1),(190,1)}
       40:{2,4,5}:{(22,1),(62,1),(66,1),(143,1),(202,1)}
       41:{1,4,5}:{(22,1),(24,1),(67,1),(68,1),(69,1)}
       42:{4,6}:{(22,1),(25,1)}
       43:{1,2,3,5}:{(23,1),(24,1),(58,1),(67,1),(69,1),(117,1),(128,1),(191,1)}
       44:{1,2,5,6}:{(24,1),(25,1),(27,1),(29,1),(68,1),(80,1),(123,1)}
       45:{1,4}:{(26,1),(34,1)}
       46:{1,2,3,6}:{(26,1),(27,1),(31,1),(35,1),(60,1),(72,1),(119,1)}
       47:{2,5,6}:{(28,1),(66,1),(143,1)}
       48:{1,4,5,6}:{(28,1),(29,1),(68,1),(73,1),(74,1),(75,1),(131,1),(133,1),(264,1),(267,1),(278,1)}
       49:{1,3,5,6}:{(29,1),(31,1),(74,1),(75,1),(77,1),(278,1),(279,1)}
       50:{1,2,3}:{(30,1),(71,1),(128,1)}
       51:{1,3,4,6}:{(30,1),(31,1),(72,1),(75,1),(76,1),(77,1),(129,1),(137,1),(266,1),(269,1),(279,1)}
       52:{3,4,5}:{(34,1),(59,1),(78,1),(79,1),(84,1),(144,1),(193,1)}
       53:{3,5,6}:{(32,1),(64,1),(80,1),(190,1)}
       54:{1,4,5,6}:{(32,1),(33,1),(68,1),(80,1),(81,1),(82,1),(131,1),(140,1),(175,1),(180,1),(231,1)}
       55:{2,3,5,6}:{(33,1),(35,1),(81,1),(82,1),(84,1),(141,1),(143,1),(191,1)}
       56:{2,3,4}:{(34,1),(71,1),(78,1),(128,1),(176,1)}
       57:{3,4,6}:{(34,1),(35,1),(72,1),(82,1),(84,1)}
       58:{1,3,5}:{(36,1),(86,1),(102,1),(160,1),(214,1)}
       59:{1,4,5}:{(37,1),(45,1),(52,1),(88,1),(89,1),(102,1)}
       60:{1,3,6}:{(37,1),(89,1),(210,1)}
       61:{1,2,4}:{(38,1),(90,1),(91,1),(152,1)}
       62:{2,3,5}:{(38,1),(39,1),(40,1),(91,1),(92,1)}
       63:{1,4,5}:{(39,1),(91,1),(93,1),(94,1),(152,1),(214,1)}
       64:{3,4,6}:{(39,1),(42,1),(53,1),(92,1),(94,1),(98,1)}
       65:{1,2,4,5}:{(40,1),(41,1),(91,1),(95,1),(96,1),(99,1),(152,1),(161,1),(164,1),(206,1),(211,1),(214,1),(219,1),(228,1),(256,1)}
       66:{2,4,6}:{(40,1),(42,1),(47,1),(92,1)}
       67:{3,5}:{(41,1),(97,1),(98,1)}
       68:{1,4,6}:{(41,1),(42,1),(44,1),(98,1)}
       69:{1,4}:{(43,1),(97,1),(219,1)}
       70:{1,2,3,5,6}:{(43,1),(44,1),(46,1),(49,1),(55,1),(87,1),(98,1),(100,1),(102,1),(103,1),(105,1),(107,1),(110,1),(148,1),(150,1),(153,1),(159,1),(160,1),(161,1),(170,1),(208,1),(210,1),(214,1),(215,1),(254,1),(255,1),(274,1),(275,1)}
       71:{1,2,4}:{(45,1),(50,1),(56,1),(88,1)}
       72:{1,4,6}:{(45,1),(46,1),(57,1),(102,1)}
       73:{1,2,5,6}:{(47,1),(48,1),(96,1),(103,1),(105,1),(161,1),(214,1),(251,1)}
       74:{3,5,6}:{(48,1),(98,1),(104,1),(160,1),(275,1)}
       75:{1,4,6}:{(49,1),(104,1),(105,1),(106,1)}
       76:{1,2,3,6}:{(50,1),(51,1),(101,1),(105,1),(107,1),(159,1),(210,1),(263,1)}
       77:{1,3,5}:{(51,1),(102,1),(106,1),(160,1),(274,1)}
       78:{2,3,5}:{(52,1),(56,1),(85,1),(88,1),(108,1)}
       79:{3,4,6}:{(52,1),(89,1),(108,1),(109,1),(169,1),(210,1)}
       80:{1,5,6}:{(53,1),(94,1),(214,1)}
       81:{3,5,6}:{(54,1),(98,1),(111,1),(160,1),(210,1)}
       82:{4,6}:{(55,1),(113,1),(219,1)}
       83:{2,3,4,6}:{(56,1),(57,1),(101,1),(108,1),(112,1),(114,1),(159,1),(167,1),(169,1),(207,1),(210,1),(219,1),(226,1),(229,1),(253,1)}
       84:{3,5}:{(57,1),(102,1),(113,1)}
       85:{2,4,5}:{(78,1),(115,1),(144,1),(176,1),(233,1)}
       86:{1,4,5}:{(58,1),(69,1),(116,1),(117,1),(118,1)}
       87:{1,3,5,6}:{(58,1),(60,1),(118,1),(120,1),(178,1),(182,1),(238,1)}
       88:{1,2,5}:{(59,1),(71,1),(78,1),(119,1)}
       89:{1,4,6}:{(59,1),(60,1),(79,1),(119,1),(120,1)}
       90:{1,2,3}:{(61,1),(121,1),(249,1)}
       91:{1,2,5}:{(61,1),(62,1),(63,1),(123,1)}
       92:{2,3,6}:{(62,1),(64,1),(66,1),(123,1)}
       93:{1,3,5}:{(63,1),(67,1),(124,1),(125,1)}
       94:{1,4,6}:{(63,1),(64,1),(80,1),(123,1),(125,1)}
       95:{2,3,5}:{(65,1),(67,1),(126,1),(127,1),(128,1),(190,1),(249,1),(268,1)}
       96:{1,2,4,6}:{(65,1),(66,1),(68,1),(73,1),(123,1),(127,1),(133,1),(184,1),(232,1),(237,1),(267,1)}
       97:{3,4}:{(67,1),(69,1),(128,1)}
       98:{3,6}:{(67,1),(68,1)}
       99:{1,2,4}:{(69,1),(117,1),(128,1),(176,1)}
      100:{1,4,6}:{(69,1),(70,1),(82,1),(129,1),(131,1),(133,1),(137,1),(234,1),(240,1)}
      101:{1,2,4,6}:{(71,1),(72,1),(76,1),(83,1),(119,1),(132,1),(137,1),(180,1),(248,1),(250,1),(266,1)}
      102:{1,5}:{(72,1),(84,1)}
      103:{2,3,5,6}:{(73,1),(74,1),(127,1),(133,1),(134,1),(190,1),(191,1),(195,1)}
      104:{3,4,6}:{(74,1),(75,1),(133,1),(134,1),(135,1)}
      105:{1,2,6}:{(75,1),(134,1),(136,1)}
      106:{1,4,5}:{(75,1),(77,1),(135,1),(136,1),(137,1)}
      107:{1,2,3,5}:{(76,1),(77,1),(132,1),(136,1),(137,1),(191,1),(193,1),(197,1)}
      108:{2,3,6}:{(78,1),(79,1),(115,1),(119,1)}
      109:{3,5,6}:{(79,1),(84,1),(120,1),(138,1)}
      110:{1,3,5,6}:{(80,1),(81,1),(125,1),(140,1),(186,1),(231,1),(236,1)}
      111:{3,4,6}:{(81,1),(82,1),(140,1),(141,1),(142,1)}
      112:{2,4,6}:{(82,1),(141,1),(143,1),(202,1)}
      113:{4,5}:{(82,1),(84,1),(143,1)}
      114:{2,3,5}:{(83,1),(84,1),(132,1),(143,1),(144,1),(193,1),(233,1),(265,1)}
      115:{2,4,6}:{(85,1),(108,1),(145,1),(169,1)}
      116:{3,4,5}:{(86,1),(97,1),(146,1),(147,1),(160,1),(219,1),(252,1)}
      117:{1,2,5}:{(86,1),(99,1),(146,1),(148,1)}
      118:{1,4,6}:{(86,1),(87,1),(147,1),(148,1)}
      119:{1,2,6}:{(88,1),(89,1),(108,1)}
      120:{1,5,6}:{(89,1),(102,1),(109,1)}
      121:{1,3,4}:{(90,1),(151,1),(152,1),(257,1)}
      122:{1,2,3,5}:{(90,1),(91,1),(93,1),(95,1),(151,1),(152,1),(153,1),(154,1),(211,1),(214,1)}
      123:{1,2,6}:{(91,1),(92,1),(94,1)}
      124:{1,3,4}:{(93,1),(97,1),(152,1),(154,1)}
      125:{1,3,6}:{(93,1),(94,1),(98,1)}
      126:{3,4}:{(95,1),(152,1),(219,1)}
      127:{2,3,6}:{(95,1),(96,1),(98,1),(158,1),(275,1)}
      128:{2,3}:{(97,1),(99,1)}
      129:{3,4,6}:{(97,1),(98,1),(100,1),(159,1),(160,1),(167,1),(210,1),(219,1),(257,1),(275,1)}
      130:{1,2,4,6}:{(99,1),(100,1),(105,1),(112,1),(148,1),(159,1),(161,1),(163,1),(166,1),(170,1),(207,1),(219,1),(228,1)}
      131:{1,4,5}:{(100,1),(102,1),(113,1),(160,1),(161,1),(164,1),(214,1),(219,1),(252,1),(274,1)}
      132:{1,2,5}:{(101,1),(102,1),(114,1),(162,1),(274,1)}
      133:{4,6}:{(103,1),(164,1),(219,1)}
      134:{2,3,6}:{(104,1),(105,1),(163,1),(165,1)}
      135:{3,4,5}:{(104,1),(106,1),(160,1),(164,1),(165,1),(167,1),(219,1)}
      136:{1,2,5}:{(105,1),(106,1),(165,1),(166,1)}
      137:{1,4}:{(107,1),(167,1),(219,1)}
      138:{4,5,6}:{(109,1),(113,1),(168,1),(169,1)}
      139:{2,3,5,6}:{(108,1),(109,1),(114,1),(145,1),(150,1),(168,1),(169,1),(205,1),(210,1),(226,1)}
      140:{1,4,6}:{(110,1),(111,1),(170,1),(171,1)}
      141:{2,3,6}:{(111,1),(112,1),(170,1),(172,1)}
      142:{3,4,5}:{(111,1),(113,1),(160,1),(171,1),(172,1),(219,1),(257,1)}
      143:{2,5}:{(112,1),(113,1)}
      144:{4,5}:{(114,1),(169,1),(219,1)}
      145:{2,5,6}:{(115,1),(175,1),(233,1)}
      146:{2,3,5}:{(116,1),(117,1),(128,1),(176,1),(177,1),(233,1)}
      147:{3,4,6}:{(116,1),(118,1),(177,1),(178,1),(234,1)}
      148:{1,2,6}:{(117,1),(118,1),(177,1)}
      149:{1,4,5,6}:{(118,1),(120,1),(131,1),(138,1),(178,1),(179,1),(180,1),(194,1),(234,1),(238,1),(267,1)}
      150:{1,2,5,6}:{(119,1),(120,1),(132,1),(139,1),(180,1),(231,1),(248,1)}
      151:{1,3,5}:{(121,1),(181,1),(182,1),(268,1)}
      152:{1,4}:{(122,1),(126,1)}
      153:{1,2,3,6}:{(122,1),(123,1),(125,1),(127,1),(182,1),(184,1),(237,1)}
      154:{1,2,3}:{(124,1),(128,1),(183,1)}
      155:{1,3,4,6}:{(124,1),(125,1),(129,1),(140,1),(184,1),(185,1),(186,1),(198,1),(236,1),(240,1),(266,1)}
      156:{3,4,5}:{(126,1),(181,1),(187,1),(188,1),(190,1),(242,1),(268,1)}
      157:{2,3,4}:{(126,1),(128,1),(176,1),(183,1),(187,1)}
      158:{3,4,6}:{(126,1),(127,1),(133,1),(184,1),(190,1)}
      159:{2,3,6}:{(128,1),(129,1),(130,1),(191,1),(197,1),(249,1)}
      160:{3,5}:{(129,1),(131,1)}
      161:{1,2,5}:{(130,1),(131,1),(143,1),(191,1),(195,1),(233,1)}
      162:{1,4,5}:{(132,1),(137,1),(144,1),(180,1),(193,1)}
      163:{2,4,6}:{(133,1),(134,1),(195,1),(196,1)}
      164:{4,5}:{(133,1),(190,1),(195,1)}
      165:{2,3,5}:{(134,1),(135,1),(136,1),(195,1),(196,1),(197,1)}
      166:{1,2,4}:{(136,1),(137,1),(196,1),(197,1)}
      167:{3,4}:{(137,1),(193,1),(197,1)}
      168:{2,5,6}:{(138,1),(143,1),(199,1)}
      169:{4,6}:{(139,1),(144,1)}
      170:{1,2,6}:{(140,1),(141,1),(201,1)}
      171:{1,4,5}:{(140,1),(142,1),(186,1),(201,1),(240,1)}
      172:{2,3,5}:{(141,1),(142,1),(143,1),(201,1),(202,1),(249,1)}
      173:{2,4,5}:{(143,1),(144,1),(199,1),(202,1),(203,1)}
      174:{3,4,5}:{(144,1),(193,1),(200,1),(203,1),(204,1),(243,1),(265,1)}
      175:{4,5,6}:{(145,1),(169,1),(205,1),(252,1)}
      176:{2,4}:{(146,1),(219,1)}
      177:{2,3,6}:{(146,1),(147,1),(148,1),(207,1)}
      178:{3,5,6}:{(147,1),(149,1),(160,1),(210,1),(275,1)}
      179:{1,2,5,6}:{(148,1),(149,1),(161,1),(168,1),(208,1),(209,1),(222,1),(274,1)}
      180:{1,4,6}:{(150,1),(162,1),(169,1),(210,1)}
      181:{1,4,5}:{(151,1),(152,1),(156,1),(211,1),(212,1),(214,1)}
      182:{1,3,6}:{(151,1),(212,1),(275,1)}
      183:{1,2,4}:{(152,1),(154,1),(157,1),(211,1)}
      184:{1,4,6}:{(152,1),(153,1),(158,1),(214,1)}
      185:{1,2,3,6}:{(154,1),(155,1),(159,1),(170,1),(213,1),(215,1),(225,1),(275,1)}
      186:{1,3,5}:{(155,1),(160,1),(171,1),(214,1),(274,1)}
      187:{2,3,5}:{(156,1),(157,1),(206,1),(211,1),(216,1)}
      188:{3,4,6}:{(156,1),(212,1),(216,1),(217,1),(258,1),(275,1)}
      189:{2,3,4,6}:{(157,1),(158,1),(159,1),(163,1),(207,1),(213,1),(216,1),(218,1),(219,1),(224,1),(253,1),(257,1),(258,1),(261,1),(275,1)}
      190:{3,5}:{(158,1),(164,1),(214,1)}
      191:{2,3,5}:{(159,1),(160,1),(161,1),(219,1)}
      192:{1,2,4,5}:{(161,1),(162,1),(166,1),(173,1),(209,1),(219,1),(220,1),(223,1),(228,1),(230,1),(252,1),(256,1),(260,1),(262,1),(274,1)}
      193:{3,5}:{(162,1),(167,1),(210,1)}
      194:{4,5,6}:{(164,1),(217,1),(222,1),(258,1)}
      195:{2,5}:{(163,1),(164,1)}
      196:{2,4}:{(165,1),(219,1)}
      197:{2,3}:{(166,1),(167,1)}
      198:{1,3,4}:{(167,1),(221,1),(225,1),(260,1)}
      199:{2,4,6}:{(168,1),(169,1),(173,1),(226,1)}
      200:{3,4,6}:{(169,1),(174,1),(205,1),(210,1),(226,1),(227,1)}
      201:{1,2,5}:{(170,1),(171,1),(172,1),(228,1)}
      202:{2,4}:{(172,1),(219,1)}
      203:{2,3,5}:{(173,1),(174,1),(226,1),(229,1),(230,1)}
      204:{1,4,5}:{(174,1),(221,1),(227,1),(230,1),(260,1),(274,1)}
      205:{3,5,6}:{(175,1),(200,1),(231,1),(265,1)}
      206:{2,4,5}:{(176,1),(187,1),(232,1),(233,1),(242,1)}
      207:{2,4,6}:{(176,1),(177,1),(233,1),(234,1)}
      208:{2,3,5,6}:{(177,1),(178,1),(179,1),(191,1),(233,1),(234,1),(235,1),(265,1)}
      209:{1,2,4,6}:{(179,1),(180,1),(192,1),(199,1),(234,1),(235,1),(245,1),(248,1),(266,1),(267,1),(272,1)}
      210:{3,6}:{(180,1),(193,1)}
      211:{1,2,5}:{(181,1),(183,1),(187,1),(237,1)}
      212:{1,4,6}:{(181,1),(182,1),(188,1),(237,1),(238,1)}
      213:{1,2,4,6}:{(183,1),(184,1),(185,1),(189,1),(237,1),(239,1),(240,1),(247,1),(266,1),(267,1),(272,1)}
      214:{1,5}:{(184,1),(190,1)}
      215:{1,2,3,5}:{(185,1),(186,1),(191,1),(201,1),(239,1),(240,1),(249,1),(268,1)}
      216:{2,3,6}:{(187,1),(188,1),(232,1),(237,1)}
      217:{3,5,6}:{(188,1),(190,1),(194,1),(238,1)}
      218:{2,3,5}:{(189,1),(190,1),(195,1),(233,1),(239,1),(242,1),(265,1),(268,1)}
      219:{4}:{(191,1)}
      220:{2,3,5}:{(192,1),(193,1),(197,1),(235,1),(243,1),(249,1),(265,1),(268,1)}
      221:{1,3,5}:{(193,1),(198,1),(204,1),(236,1)}
      222:{2,5,6}:{(194,1),(195,1),(245,1)}
      223:{2,4,5}:{(195,1),(196,1),(242,1),(245,1),(246,1)}
      224:{2,3,4}:{(196,1),(197,1),(243,1),(246,1),(247,1)}
      225:{1,2,3}:{(197,1),(198,1),(247,1)}
      226:{2,3,6}:{(199,1),(200,1),(203,1),(248,1)}
      227:{1,4,6}:{(200,1),(204,1),(231,1),(236,1),(248,1)}
      228:{1,2,4}:{(201,1),(202,1),(240,1),(249,1)}
      229:{2,3,4}:{(202,1),(203,1),(243,1),(249,1),(250,1)}
      230:{1,2,5}:{(203,1),(204,1),(248,1),(250,1)}
      231:{1,5,6}:{(205,1),(227,1),(274,1)}
      232:{2,4,6}:{(206,1),(216,1),(251,1),(258,1)}
      233:{2,5}:{(207,1),(252,1)}
      234:{4,6}:{(208,1),(219,1),(252,1)}
      235:{2,3,6}:{(209,1),(210,1),(220,1),(253,1),(275,1)}
      236:{1,3,6}:{(210,1),(221,1),(227,1)}
      237:{1,2,6}:{(211,1),(212,1),(216,1)}
      238:{1,5,6}:{(212,1),(214,1),(217,1)}
      239:{1,2,5}:{(213,1),(214,1),(218,1),(256,1),(274,1)}
      240:{1,4}:{(215,1),(219,1),(257,1)}
      241:{2,3,5,6}:{(216,1),(217,1),(218,1),(222,1),(251,1),(255,1),(258,1),(261,1),(273,1),(275,1)}
      242:{4,5}:{(218,1),(219,1),(258,1)}
      243:{3,4}:{(219,1),(220,1),(260,1)}
      244:{1,2,3,5}:{(220,1),(221,1),(225,1),(230,1),(254,1),(260,1),(262,1),(263,1),(274,1),(276,1)}
      245:{2,4,6}:{(222,1),(223,1),(258,1),(261,1)}
      246:{2,3,5}:{(223,1),(224,1),(259,1),(261,1),(262,1)}
      247:{1,2,4}:{(224,1),(225,1),(260,1),(262,1)}
      248:{1,2,6}:{(226,1),(227,1),(230,1)}
      249:{2,3}:{(228,1),(257,1)}
      250:{1,2,4}:{(229,1),(230,1),(260,1),(263,1)}
      251:{2,5,6}:{(232,1),(233,1),(264,1)}
      252:{4,5}:{(233,1),(234,1),(265,1)}
      253:{3,4,6}:{(234,1),(235,1),(243,1),(265,1),(266,1)}
      254:{1,2,3,6}:{(235,1),(236,1),(244,1),(248,1),(266,1),(272,1),(279,1)}
      255:{1,2,5,6}:{(237,1),(238,1),(239,1),(241,1),(267,1),(272,1),(278,1)}
      256:{1,4,5}:{(239,1),(240,1),(242,1),(267,1),(268,1)}
      257:{3,4}:{(240,1),(249,1),(268,1)}
      258:{4,6}:{(241,1),(242,1)}
      259:{3,4,5}:{(242,1),(243,1),(246,1),(265,1),(268,1),(270,1),(271,1)}
      260:{1,4}:{(243,1),(244,1)}
      261:{2,3,6}:{(245,1),(246,1),(270,1),(272,1)}
      262:{1,2,5}:{(246,1),(247,1),(271,1),(272,1)}
      263:{1,2,3}:{(249,1),(250,1),(269,1)}
      264:{4,5,6}:{(251,1),(252,1),(258,1),(273,1)}
      265:{3,5}:{(252,1),(253,1),(274,1)}
      266:{1,4,6}:{(253,1),(254,1),(260,1),(274,1)}
      267:{1,4,6}:{(255,1),(256,1),(258,1),(275,1)}
      268:{3,5}:{(256,1),(257,1),(275,1)}
      269:{1,3,4}:{(257,1),(260,1),(263,1),(276,1)}
      270:{3,4,6}:{(258,1),(259,1),(261,1),(273,1),(275,1),(277,1)}
      271:{1,4,5}:{(259,1),(260,1),(262,1),(274,1),(276,1),(277,1)}
      272:{1,2,6}:{(261,1),(262,1),(277,1)}
      273:{3,5,6}:{(264,1),(265,1),(270,1),(278,1)}
      274:{1,5}:{(265,1),(266,1)}
      275:{3,6}:{(267,1),(268,1)}
      276:{1,3,5}:{(268,1),(269,1),(271,1),(279,1)}
      277:{1,4,6}:{(270,1),(271,1),(272,1),(278,1),(279,1)}
      278:{1,5,6}:{(273,1),(274,1),(277,1)}
      279:{1,3,6}:{(275,1),(276,1),(277,1)}

325 :  0:{2,4,5,6}:{(1,1),(12,1)}
       1:{2,3,5,6}:{(0,1),(2,1),(3,1),(8,1)}
       2:{1,2,5,6}:{(1,1),(5,1),(14,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(9,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,6}:{(5,1),(16,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(44,1)}
      12:{2,4,5}:{(8,1),(20,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(18,1),(21,1),(35,1),(50,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(23,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1),(74,1)}
      18:{1,3,4,6}:{(13,1),(25,1),(28,1),(42,1),(44,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(41,1),(46,1),(56,1)}
      20:{2,4,6}:{(12,1),(15,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(25,1),(26,1),(28,1),(30,1),(41,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1),(69,1)}
      23:{1,3,4}:{(16,1),(28,1),(30,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(78,1)}
      25:{1,3,5}:{(18,1),(32,1),(53,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(53,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1),(50,1),(63,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(33,1),(35,1),(37,1),(38,1),(50,1),(53,1),(54,1),(64,1)}
      30:{1,2,3}:{(23,1),(36,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(39,1),(75,1)}
      32:{1,4,5}:{(25,1),(28,1),(40,1),(41,1),(42,1)}
      33:{1,3,5,6}:{(25,1),(42,1),(58,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(44,1)}
      36:{1,2,4}:{(28,1),(30,1),(41,1),(43,1)}
      37:{1,4,6}:{(28,1),(29,1),(44,1),(46,1),(70,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(45,1),(47,1),(71,1)}
      39:{1,3,4,5}:{(31,1),(46,1),(47,1),(72,1)}
      40:{3,4,5}:{(32,1),(34,1),(48,1),(49,1),(53,1),(66,1)}
      41:{1,2,5}:{(32,1),(36,1),(48,1),(50,1)}
      42:{1,4,6}:{(32,1),(33,1),(49,1),(50,1)}
      43:{2,3,4}:{(34,1),(36,1),(48,1)}
      44:{3,4,6}:{(34,1),(35,1),(37,1),(53,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(55,1)}
      46:{1,4,5}:{(37,1),(53,1),(54,1),(66,1)}
      47:{1,2,3,5}:{(38,1),(39,1),(54,1),(55,1),(67,1)}
      48:{2,3,5}:{(40,1),(41,1),(43,1),(56,1),(57,1)}
      49:{3,4,6}:{(40,1),(42,1),(57,1),(58,1),(70,1)}
      50:{1,2,6}:{(41,1),(42,1),(57,1)}
      51:{1,4,5,6}:{(42,1),(46,1),(58,1),(59,1),(70,1)}
      52:{2,3,4,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(62,1),(70,1),(71,1)}
      53:{3,5}:{(44,1),(46,1)}
      54:{1,2,5}:{(45,1),(46,1),(60,1)}
      55:{1,2,4}:{(47,1),(62,1)}
      56:{2,4,5}:{(48,1),(63,1),(66,1)}
      57:{2,3,6}:{(48,1),(49,1),(50,1),(63,1)}
      58:{3,5,6}:{(49,1),(51,1),(53,1)}
      59:{1,2,5,6}:{(50,1),(51,1),(54,1),(64,1),(65,1),(80,1)}
      60:{2,3,5}:{(52,1),(53,1),(54,1),(66,1)}
      61:{1,2,4,5}:{(54,1),(55,1),(65,1),(66,1),(67,1),(77,1)}
      62:{2,3,4}:{(55,1),(67,1)}
      63:{2,4,6}:{(56,1),(57,1),(69,1),(70,1)}
      64:{2,3,5,6}:{(57,1),(58,1),(59,1),(60,1),(69,1),(70,1),(71,1),(78,1)}
      65:{1,2,4,6}:{(59,1),(61,1),(70,1),(71,1),(79,1)}
      66:{4,5}:{(60,1),(70,1)}
      67:{2,3,5}:{(61,1),(62,1),(71,1),(72,1)}
      68:{1,2,3,4}:{(62,1),(73,1)}
      69:{2,5,6}:{(63,1),(74,1)}
      70:{4,6}:{(64,1),(66,1)}
      71:{2,3,6}:{(65,1),(67,1),(75,1)}
      72:{3,4,5}:{(66,1),(67,1),(75,1),(77,1)}
      73:{1,2,3,5}:{(67,1),(68,1),(76,1),(77,1)}
      74:{4,5,6}:{(69,1),(70,1),(78,1)}
      75:{3,4,6}:{(70,1),(71,1),(72,1),(78,1),(79,1)}
      76:{1,2,3,6}:{(71,1),(73,1),(79,1)}
      77:{1,4,5}:{(72,1),(73,1),(79,1)}
      78:{3,5,6}:{(74,1),(75,1),(80,1)}
      79:{1,4,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{1,5,6}:{(78,1),(79,1)}

326 :  0:{3,4,5,6}:{(1,1),(2,1),(21,1),(25,1)}
       1:{2,3,5,6}:{(0,1),(4,1),(5,1),(14,1),(16,1)}
       2:{1,4,5,6}:{(0,1),(3,1),(4,1),(15,1),(32,1),(75,1)}
       3:{1,3,5,6}:{(2,1),(6,1),(44,1),(78,1)}
       4:{1,2,5,6}:{(1,1),(2,1),(9,1),(23,1),(79,1)}
       5:{2,4,6}:{(1,1),(10,1)}
       6:{1,3,4,6}:{(3,1),(11,1),(12,1),(15,1),(57,1),(73,1)}
       7:{2,3,4,6}:{(5,1),(13,1),(14,1),(16,1),(33,1),(38,1)}
       8:{1,2,3,5,6}:{(3,1),(4,1),(12,1),(15,1),(16,1),(30,1),(34,1),(36,1),(54,1),(56,1),(76,1)}
       9:{1,2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(74,1),(76,1)}
      10:{2,4,5}:{(5,1),(14,1)}
      11:{1,3,4,5}:{(6,1),(19,1),(26,1),(63,1)}
      12:{1,2,3,6}:{(6,1),(19,1),(20,1),(64,1),(69,1)}
      13:{1,2,4,6}:{(7,1),(22,1),(23,1),(45,1),(46,1)}
      14:{2,3,5}:{(7,1),(10,1),(21,1),(23,1)}
      15:{1,4,6}:{(8,1),(25,1),(26,1),(46,1),(66,1)}
      16:{2,3,6}:{(9,1),(25,1),(27,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(23,1),(26,1),(27,1),(46,1),(65,1),(67,1)}
      18:{2,4,5,6}:{(10,1),(24,1)}
      19:{1,2,3,5}:{(11,1),(12,1),(28,1),(30,1),(51,1)}
      20:{1,2,4,6}:{(12,1),(15,1),(28,1),(29,1),(30,1),(59,1),(76,1)}
      21:{3,4,5}:{(14,1),(32,1),(33,1),(38,1)}
      22:{1,2,3,6}:{(13,1),(16,1),(31,1),(34,1),(58,1),(76,1)}
      23:{1,2,5}:{(13,1),(14,1),(32,1)}
      24:{2,3,5,6}:{(14,1),(18,1),(33,1),(35,1)}
      25:{3,4,6}:{(15,1),(16,1),(36,1),(38,1)}
      26:{1,4,5}:{(15,1),(30,1),(36,1),(53,1)}
      27:{2,3,5}:{(16,1),(17,1),(36,1),(38,1)}
      28:{1,2,4}:{(19,1),(39,1)}
      29:{2,3,4,6}:{(20,1),(25,1),(39,1),(41,1),(49,1),(64,1),(66,1),(70,1)}
      30:{1,2,5}:{(20,1),(26,1),(41,1)}
      31:{1,3,4,6}:{(22,1),(25,1),(43,1),(46,1),(68,1)}
      32:{1,4,5}:{(21,1),(23,1),(44,1),(45,1),(46,1)}
      33:{3,4,6}:{(21,1),(24,1),(45,1)}
      34:{1,2,3,5}:{(22,1),(23,1),(27,1),(43,1),(44,1),(46,1),(67,1),(69,1)}
      35:{1,2,5,6}:{(23,1),(24,1),(45,1)}
      36:{3,5}:{(25,1),(26,1)}
      37:{1,4,5,6}:{(26,1),(42,1),(48,1),(66,1),(68,1)}
      38:{3,4}:{(27,1),(46,1)}
      39:{2,3,4}:{(28,1),(51,1)}
      40:{1,2,4,5}:{(28,1),(30,1),(51,1),(52,1),(53,1),(71,1)}
      41:{2,3,5}:{(29,1),(30,1),(36,1),(53,1)}
      42:{1,2,5,6}:{(30,1),(37,1),(52,1),(54,1),(76,1),(80,1)}
      43:{1,3,5}:{(31,1),(36,1),(55,1)}
      44:{1,3,5}:{(32,1),(57,1),(58,1)}
      45:{1,4,6}:{(32,1),(33,1),(35,1),(58,1)}
      46:{1,4}:{(34,1),(38,1)}
      47:{3,4,5}:{(36,1),(38,1),(53,1),(55,1),(60,1),(61,1)}
      48:{3,5,6}:{(36,1),(37,1),(61,1)}
      49:{2,3,4}:{(38,1),(59,1),(60,1)}
      50:{1,2,3,4}:{(39,1),(62,1)}
      51:{2,3,5}:{(39,1),(40,1),(63,1),(64,1)}
      52:{1,2,4,6}:{(40,1),(42,1),(64,1),(66,1),(77,1)}
      53:{4,5}:{(41,1),(66,1)}
      54:{2,3,5,6}:{(41,1),(42,1),(48,1),(64,1),(66,1),(70,1),(78,1),(79,1)}
      55:{1,4,5}:{(43,1),(46,1),(47,1),(67,1),(68,1)}
      56:{1,3,5,6}:{(43,1),(48,1),(68,1)}
      57:{1,3,4}:{(44,1),(46,1),(69,1)}
      58:{1,3,6}:{(44,1),(45,1)}
      59:{1,2,4}:{(46,1),(49,1),(67,1),(69,1)}
      60:{2,3,5}:{(47,1),(49,1),(65,1),(67,1),(70,1)}
      61:{3,4,6}:{(47,1),(48,1),(66,1),(68,1),(70,1)}
      62:{1,2,3,5}:{(50,1),(51,1),(71,1),(72,1)}
      63:{3,4,5}:{(51,1),(53,1),(71,1),(73,1)}
      64:{2,3,6}:{(51,1),(52,1),(73,1)}
      65:{2,4,5}:{(53,1),(60,1),(74,1)}
      66:{4,6}:{(53,1),(54,1)}
      67:{1,2,5}:{(55,1),(59,1),(60,1),(76,1)}
      68:{1,4,6}:{(55,1),(56,1),(61,1),(76,1)}
      69:{1,2,3}:{(57,1),(59,1)}
      70:{2,3,6}:{(60,1),(61,1),(74,1),(76,1)}
      71:{1,4,5}:{(62,1),(63,1),(77,1)}
      72:{1,2,3,6}:{(62,1),(64,1),(77,1)}
      73:{3,4,6}:{(63,1),(64,1),(66,1),(77,1),(78,1)}
      74:{2,4,6}:{(65,1),(66,1),(70,1),(79,1)}
      75:{4,5,6}:{(66,1),(78,1),(79,1)}
      76:{1,2,6}:{(67,1),(68,1),(70,1)}
      77:{1,4,6}:{(71,1),(72,1),(73,1),(80,1)}
      78:{3,5,6}:{(73,1),(75,1),(80,1)}
      79:{2,5,6}:{(74,1),(75,1)}
      80:{1,5,6}:{(77,1),(78,1)}

327 :   0:{1,4,5,6}:{(1,1),(2,1),(15,1),(17,1),(44,1),(137,1),(139,1),(174,1)}
        1:{1,2,5,6}:{(0,1),(5,1),(7,1),(26,1),(61,1),(64,1),(120,1)}
        2:{3,5,6}:{(0,1),(6,1),(66,1),(165,1)}
        3:{1,2,4,5}:{(5,1),(9,1),(29,1),(31,1),(61,1),(64,1),(68,1),(70,1),(110,1),(116,1),(166,1)}
        4:{1,3,4,6}:{(11,1),(12,1),(15,1),(35,1),(43,1),(175,1),(176,1),(178,1)}
        5:{1,2,4,6}:{(1,1),(3,1),(13,1),(17,1),(39,1),(95,1),(97,1),(139,1)}
        6:{3,4,6}:{(2,1),(10,1),(14,1),(15,1),(17,1)}
        7:{2,3,5,6}:{(1,1),(2,1),(13,1),(14,1),(17,1),(40,1),(42,1),(90,1)}
        8:{1,3,5,6}:{(2,1),(11,1),(15,1),(174,1),(176,1)}
        9:{2,3,5}:{(3,1),(13,1),(19,1),(40,1),(138,1),(185,1)}
       10:{3,4,5}:{(6,1),(20,1),(21,1),(29,1),(54,1),(66,1),(116,1)}
       11:{1,3,5}:{(4,1),(21,1),(66,1),(196,1)}
       12:{1,2,3,6}:{(4,1),(22,1),(23,1),(26,1),(63,1),(107,1),(193,1)}
       13:{2,3,6}:{(5,1),(9,1),(25,1),(165,1)}
       14:{2,3,6}:{(6,1),(20,1),(26,1),(27,1)}
       15:{1,4,6}:{(6,1),(8,1),(21,1),(26,1)}
       16:{1,2,3,5,6}:{(7,1),(8,1),(22,1),(24,1),(26,1),(28,1),(57,1),(61,1),(63,1),(64,1),(66,1),(107,1),(112,1),(113,1),(115,1),(117,1),(155,1),(165,1),(168,1),(196,1)}
       17:{4,6}:{(7,1),(29,1),(116,1)}
       18:{1,2,3,5}:{(9,1),(24,1),(31,1),(61,1),(69,1),(70,1),(72,1)}
       19:{3,4}:{(9,1),(31,1),(116,1)}
       20:{2,3,5}:{(10,1),(14,1),(33,1),(34,1),(42,1),(77,1)}
       21:{1,4,5}:{(10,1),(11,1),(15,1),(33,1),(35,1)}
       22:{1,2,3,5}:{(11,1),(12,1),(33,1),(35,1),(37,1),(77,1),(80,1),(90,1)}
       23:{1,2,4,6}:{(12,1),(35,1),(36,1),(37,1),(81,1),(177,1),(178,1),(179,1)}
       24:{1,2,3,6}:{(13,1),(18,1),(39,1),(97,1),(98,1)}
       25:{3,4,6}:{(13,1),(17,1),(19,1),(39,1),(40,1)}
       26:{1,2,6}:{(14,1),(15,1),(33,1)}
       27:{2,4,6}:{(14,1),(17,1),(34,1),(42,1)}
       28:{1,4,6}:{(16,1),(17,1),(35,1),(43,1),(44,1),(140,1),(145,1)}
       29:{4,5}:{(17,1),(40,1),(42,1)}
       30:{2,3,4}:{(19,1),(46,1),(47,1),(144,1),(148,1),(185,1)}
       31:{1,4}:{(18,1),(19,1)}
       32:{3,4,5}:{(19,1),(40,1),(47,1),(49,1),(50,1),(84,1),(138,1),(148,1),(191,1)}
       33:{1,2,5}:{(20,1),(21,1),(26,1),(52,1)}
       34:{2,4}:{(20,1),(116,1)}
       35:{1,4}:{(22,1),(54,1),(116,1)}
       36:{2,3,4,6}:{(23,1),(54,1),(56,1),(63,1),(107,1),(109,1),(116,1),(158,1),(159,1),(160,1),(169,1)}
       37:{1,2,5}:{(23,1),(55,1),(56,1),(196,1)}
       38:{2,3,4,6}:{(25,1),(27,1),(30,1),(51,1),(58,1),(59,1),(63,1),(71,1),(102,1),(111,1),(116,1),(159,1),(164,1),(165,1),(169,1),(172,1),(201,1),(204,1),(222,1)}
       39:{1,4,6}:{(24,1),(25,1),(31,1),(61,1)}
       40:{3,5}:{(25,1),(29,1),(61,1)}
       41:{1,2,4,6}:{(26,1),(27,1),(28,1),(52,1),(63,1),(64,1),(116,1),(166,1),(168,1),(169,1)}
       42:{2,5}:{(27,1),(29,1)}
       43:{3,4,6}:{(28,1),(54,1),(63,1),(66,1),(107,1),(116,1),(164,1),(165,1)}
       44:{1,4,5}:{(28,1),(29,1),(61,1),(64,1),(66,1),(116,1),(170,1),(196,1)}
       45:{4,5,6}:{(29,1),(62,1),(65,1),(111,1),(205,1)}
       46:{1,2,4}:{(30,1),(31,1),(69,1),(70,1),(123,1)}
       47:{2,3,5}:{(30,1),(32,1),(68,1),(70,1),(71,1)}
       48:{1,3,4}:{(31,1),(69,1),(72,1),(123,1),(164,1)}
       49:{1,4,5}:{(31,1),(32,1),(61,1),(70,1),(72,1),(73,1),(123,1),(173,1)}
       50:{3,4,6}:{(32,1),(62,1),(71,1),(73,1),(111,1),(165,1)}
       51:{2,3,4}:{(34,1),(74,1),(75,1),(77,1),(131,1),(226,1),(229,1)}
       52:{1,2,4}:{(33,1),(34,1),(35,1),(77,1)}
       53:{2,4,5}:{(34,1),(42,1),(75,1),(79,1),(84,1),(215,1),(226,1)}
       54:{3,4}:{(35,1),(77,1),(80,1)}
       55:{1,4,5}:{(35,1),(37,1),(80,1),(81,1),(82,1)}
       56:{2,3,5}:{(36,1),(37,1),(80,1),(82,1),(182,1),(189,1)}
       57:{1,2,5,6}:{(37,1),(81,1),(83,1),(179,1),(180,1)}
       58:{1,2,4,6}:{(38,1),(39,1),(46,1),(74,1),(85,1),(86,1),(97,1),(128,1),(139,1),(140,1),(150,1),(178,1)}
       59:{2,3,5}:{(38,1),(40,1),(42,1),(84,1),(86,1),(138,1),(182,1),(189,1),(191,1),(215,1)}
       60:{1,3,4,6}:{(39,1),(43,1),(48,1),(76,1),(85,1),(88,1),(98,1),(130,1),(140,1),(143,1),(150,1),(178,1),(186,1)}
       61:{1,5}:{(39,1),(40,1)}
       62:{3,5,6}:{(40,1),(45,1),(50,1),(89,1),(191,1)}
       63:{2,3,6}:{(41,1),(43,1),(77,1),(90,1),(185,1)}
       64:{1,2,5}:{(41,1),(42,1),(44,1),(90,1),(189,1)}
       65:{2,5,6}:{(42,1),(45,1),(79,1),(215,1)}
       66:{3,5}:{(43,1),(44,1)}
       67:{1,4,5,6}:{(44,1),(45,1),(81,1),(89,1),(91,1),(93,1),(136,1),(139,1),(143,1),(145,1),(180,1),(188,1),(210,1)}
       68:{2,4,5}:{(47,1),(84,1),(95,1),(144,1),(189,1)}
       69:{1,2,3}:{(46,1),(48,1),(185,1)}
       70:{1,2,5}:{(46,1),(47,1),(49,1),(97,1)}
       71:{2,3,6}:{(47,1),(50,1),(95,1),(97,1)}
       72:{1,3,5}:{(48,1),(49,1),(98,1),(138,1)}
       73:{1,4,6}:{(49,1),(50,1),(89,1),(97,1),(98,1)}
       74:{1,2,4}:{(51,1),(100,1),(101,1),(154,1)}
       75:{2,3,5}:{(51,1),(53,1),(99,1),(101,1),(102,1)}
       76:{1,3,4}:{(54,1),(100,1),(103,1),(154,1),(228,1)}
       77:{2,3}:{(52,1),(54,1)}
       78:{1,2,4,5}:{(52,1),(53,1),(55,1),(64,1),(101,1),(104,1),(105,1),(108,1),(110,1),(116,1),(154,1),(156,1),(166,1),(170,1),(196,1),(203,1),(219,1),(222,1),(227,1)}
       79:{2,4,6}:{(53,1),(65,1),(102,1),(111,1)}
       80:{3,5}:{(54,1),(55,1),(107,1)}
       81:{1,4,6}:{(55,1),(57,1),(107,1),(109,1)}
       82:{4,5}:{(56,1),(109,1),(116,1)}
       83:{2,3,5,6}:{(56,1),(57,1),(107,1),(109,1),(160,1),(161,1),(162,1)}
       84:{4,5}:{(59,1),(111,1),(116,1),(222,1)}
       85:{1,2,3,6}:{(58,1),(60,1),(63,1),(69,1),(100,1),(112,1),(165,1),(168,1),(201,1)}
       86:{1,2,5}:{(58,1),(59,1),(61,1),(110,1),(173,1),(196,1)}
       87:{2,3,5,6}:{(59,1),(62,1),(65,1),(71,1),(102,1),(111,1),(113,1),(120,1),(151,1),(165,1)}
       88:{1,3,5}:{(60,1),(61,1),(66,1),(114,1),(173,1),(196,1),(202,1)}
       89:{1,5,6}:{(61,1),(62,1),(73,1),(173,1)}
       90:{2,3,5}:{(63,1),(64,1),(66,1),(116,1)}
       91:{1,2,5,6}:{(64,1),(65,1),(67,1),(105,1),(117,1),(162,1),(168,1),(196,1),(203,1)}
       92:{3,4,5}:{(66,1),(114,1),(116,1),(118,1),(119,1),(164,1),(170,1),(202,1),(222,1)}
       93:{3,5,6}:{(66,1),(67,1),(107,1),(119,1),(165,1),(202,1),(220,1)}
       94:{1,2,4,5}:{(68,1),(70,1),(110,1),(121,1),(122,1),(123,1),(166,1),(173,1),(203,1),(205,1),(222,1)}
       95:{2,4,6}:{(68,1),(71,1),(111,1),(120,1)}
       96:{1,2,3,5}:{(69,1),(70,1),(72,1),(121,1),(123,1),(124,1),(173,1)}
       97:{1,2,6}:{(70,1),(71,1),(73,1)}
       98:{1,3,6}:{(72,1),(73,1),(165,1)}
       99:{3,4,5}:{(75,1),(84,1),(125,1),(126,1),(131,1),(138,1),(182,1)}
      100:{1,2,3}:{(74,1),(76,1),(77,1),(229,1)}
      101:{1,2,5}:{(74,1),(75,1),(125,1),(128,1)}
      102:{2,3,6}:{(75,1),(79,1),(126,1),(128,1)}
      103:{1,3,5}:{(76,1),(80,1),(129,1),(130,1),(225,1)}
      104:{2,3,5}:{(77,1),(78,1),(80,1),(131,1),(132,1),(138,1),(182,1),(185,1),(225,1),(229,1)}
      105:{1,2,4,6}:{(78,1),(79,1),(81,1),(91,1),(128,1),(132,1),(135,1),(139,1),(145,1),(178,1),(179,1),(210,1)}
      106:{3,4,5}:{(80,1),(82,1),(129,1),(131,1),(133,1),(134,1),(182,1),(211,1),(225,1)}
      107:{3,6}:{(80,1),(81,1)}
      108:{2,4,5}:{(82,1),(133,1),(135,1),(144,1),(189,1),(211,1)}
      109:{4,6}:{(82,1),(83,1)}
      110:{1,4,5}:{(84,1),(86,1),(138,1),(139,1),(140,1)}
      111:{4,6}:{(84,1),(87,1)}
      112:{1,2,3,5}:{(85,1),(86,1),(88,1),(90,1),(138,1),(140,1),(142,1),(185,1),(214,1)}
      113:{1,2,5,6}:{(86,1),(87,1),(89,1),(97,1),(128,1),(139,1),(174,1)}
      114:{1,4,5}:{(88,1),(92,1),(140,1),(142,1),(143,1)}
      115:{1,3,5,6}:{(88,1),(89,1),(93,1),(98,1),(130,1),(143,1),(180,1)}
      116:{4}:{(90,1)}
      117:{2,3,5,6}:{(90,1),(91,1),(93,1),(132,1),(145,1),(146,1),(182,1),(189,1),(214,1)}
      118:{2,3,5}:{(92,1),(142,1),(144,1),(146,1),(185,1),(189,1)}
      119:{3,4,6}:{(92,1),(93,1),(143,1),(145,1),(146,1)}
      120:{2,5,6}:{(95,1),(137,1),(189,1)}
      121:{2,3,5}:{(94,1),(138,1),(148,1),(149,1),(185,1),(191,1)}
      122:{1,2,4,6}:{(94,1),(95,1),(97,1),(139,1),(147,1),(149,1),(150,1),(190,1)}
      123:{1,4}:{(96,1),(148,1)}
      124:{1,2,3,6}:{(96,1),(97,1),(98,1),(149,1),(150,1)}
      125:{1,4,5}:{(99,1),(101,1),(152,1),(153,1),(154,1),(196,1)}
      126:{3,4,6}:{(99,1),(102,1),(111,1),(151,1),(153,1),(165,1)}
      127:{1,2,3,5}:{(100,1),(101,1),(103,1),(104,1),(152,1),(154,1),(155,1),(156,1),(193,1),(196,1)}
      128:{1,2,6}:{(101,1),(102,1),(153,1)}
      129:{1,4,5}:{(103,1),(106,1),(154,1),(156,1),(157,1),(196,1)}
      130:{1,3,6}:{(103,1),(107,1),(157,1),(220,1)}
      131:{3,4}:{(104,1),(116,1),(154,1),(222,1)}
      132:{2,3,6}:{(104,1),(105,1),(107,1),(159,1),(165,1),(220,1)}
      133:{2,3,5}:{(106,1),(108,1),(156,1),(158,1),(160,1)}
      134:{3,4,6}:{(106,1),(107,1),(109,1),(157,1),(160,1),(161,1),(199,1),(220,1)}
      135:{2,4,6}:{(108,1),(109,1),(160,1),(162,1),(199,1)}
      136:{4,5,6}:{(109,1),(161,1),(162,1),(170,1),(199,1)}
      137:{4,5,6}:{(111,1),(120,1),(151,1),(170,1)}
      138:{3,5}:{(110,1),(164,1),(165,1)}
      139:{1,4,6}:{(110,1),(111,1),(113,1),(165,1)}
      140:{1,4}:{(112,1),(116,1),(164,1),(222,1)}
      141:{1,2,3,5,6}:{(112,1),(113,1),(115,1),(117,1),(124,1),(155,1),(165,1),(167,1),(168,1),(171,1),(173,1),(192,1),(196,1),(197,1),(201,1),(202,1),(203,1),(216,1),(218,1),(220,1)}
      142:{1,2,5}:{(114,1),(118,1),(166,1),(168,1)}
      143:{1,4,6}:{(114,1),(115,1),(119,1),(168,1)}
      144:{2,4}:{(116,1),(118,1),(222,1)}
      145:{4,6}:{(116,1),(117,1),(170,1),(222,1)}
      146:{2,3,6}:{(118,1),(119,1),(168,1),(169,1)}
      147:{1,2,5,6}:{(120,1),(122,1),(163,1),(171,1),(173,1),(203,1),(216,1)}
      148:{3,4}:{(121,1),(123,1),(222,1)}
      149:{2,3,6}:{(121,1),(122,1),(165,1),(172,1)}
      150:{1,4,6}:{(123,1),(124,1),(172,1),(173,1)}
      151:{3,5,6}:{(126,1),(137,1),(174,1),(182,1)}
      152:{1,3,5}:{(125,1),(138,1),(175,1),(176,1)}
      153:{1,4,6}:{(125,1),(126,1),(128,1),(174,1),(176,1)}
      154:{1,4}:{(127,1),(131,1)}
      155:{1,2,3,6}:{(127,1),(128,1),(130,1),(132,1),(176,1),(178,1),(179,1)}
      156:{1,2,5}:{(129,1),(133,1),(177,1),(179,1)}
      157:{1,4,6}:{(129,1),(130,1),(134,1),(179,1),(180,1)}
      158:{2,3,4}:{(131,1),(133,1),(144,1),(177,1),(185,1)}
      159:{3,4,6}:{(131,1),(132,1),(145,1),(178,1),(182,1)}
      160:{2,3,6}:{(133,1),(134,1),(135,1),(179,1)}
      161:{3,5,6}:{(134,1),(136,1),(180,1),(182,1)}
      162:{2,5,6}:{(135,1),(136,1),(189,1)}
      163:{1,4,5,6}:{(137,1),(139,1),(147,1),(174,1),(184,1),(188,1),(190,1),(206,1)}
      164:{3,4}:{(138,1),(140,1),(185,1)}
      165:{3,6}:{(138,1),(139,1)}
      166:{1,2,4}:{(140,1),(142,1),(144,1),(185,1)}
      167:{1,4,6}:{(140,1),(141,1),(145,1),(186,1),(188,1),(190,1),(224,1)}
      168:{1,2,6}:{(142,1),(143,1),(146,1)}
      169:{2,4,6}:{(144,1),(145,1),(146,1),(189,1)}
      170:{4,5}:{(145,1),(182,1),(189,1)}
      171:{2,3,5,6}:{(147,1),(149,1),(184,1),(190,1),(191,1),(212,1),(214,1),(215,1)}
      172:{3,4,6}:{(148,1),(149,1),(150,1),(190,1),(191,1)}
      173:{1,5}:{(150,1),(191,1)}
      174:{1,5,6}:{(151,1),(153,1),(196,1)}
      175:{1,3,4}:{(152,1),(154,1),(164,1),(193,1)}
      176:{1,3,6}:{(152,1),(153,1),(165,1)}
      177:{1,2,4}:{(154,1),(156,1),(158,1),(193,1)}
      178:{1,4,6}:{(154,1),(155,1),(159,1),(196,1)}
      179:{1,2,6}:{(156,1),(157,1),(160,1)}
      180:{1,5,6}:{(157,1),(161,1),(196,1)}
      181:{2,3,4,6}:{(158,1),(159,1),(160,1),(169,1),(195,1),(198,1),(199,1),(201,1),(220,1),(222,1),(228,1)}
      182:{3,5}:{(159,1),(170,1),(196,1)}
      183:{2,3,5,6}:{(160,1),(161,1),(162,1),(197,1),(198,1),(199,1),(220,1)}
      184:{3,5,6}:{(163,1),(165,1),(200,1),(202,1)}
      185:{2,3}:{(164,1),(166,1)}
      186:{3,4,6}:{(164,1),(165,1),(167,1),(201,1),(202,1),(220,1),(222,1),(228,1)}
      187:{1,2,4,6}:{(166,1),(167,1),(168,1),(169,1),(201,1),(203,1),(204,1),(216,1),(222,1),(227,1)}
      188:{1,4,5}:{(167,1),(170,1),(173,1),(196,1),(202,1),(203,1),(205,1),(222,1)}
      189:{2,5}:{(169,1),(170,1)}
      190:{4,6}:{(171,1),(205,1),(222,1)}
      191:{3,5}:{(172,1),(173,1),(205,1)}
      192:{1,3,5,6}:{(174,1),(176,1),(184,1),(206,1),(208,1)}
      193:{1,2,3}:{(175,1),(177,1),(185,1)}
      194:{1,3,4,6}:{(175,1),(176,1),(178,1),(186,1),(206,1),(207,1),(208,1),(224,1)}
      195:{1,2,4,6}:{(177,1),(178,1),(179,1),(181,1),(207,1),(209,1),(210,1),(224,1)}
      196:{1,5}:{(178,1),(182,1)}
      197:{1,2,5,6}:{(179,1),(180,1),(183,1),(209,1),(210,1)}
      198:{2,3,5}:{(181,1),(182,1),(189,1),(209,1),(211,1),(225,1)}
      199:{4,6}:{(183,1),(211,1)}
      200:{3,4,6}:{(184,1),(190,1),(206,1),(212,1),(213,1)}
      201:{2,3,6}:{(185,1),(186,1),(187,1),(214,1),(229,1)}
      202:{3,5}:{(186,1),(188,1)}
      203:{1,2,5}:{(187,1),(188,1),(189,1),(214,1),(215,1)}
      204:{2,4,6}:{(190,1),(212,1),(215,1),(226,1)}
      205:{4,5}:{(190,1),(191,1),(215,1)}
      206:{1,4,6}:{(192,1),(200,1),(216,1),(217,1)}
      207:{1,2,3,6}:{(193,1),(194,1),(195,1),(201,1),(216,1),(218,1),(220,1)}
      208:{1,3,5}:{(194,1),(196,1),(202,1),(217,1)}
      209:{1,2,5}:{(195,1),(196,1),(198,1),(219,1)}
      210:{1,4,6}:{(197,1),(199,1),(219,1),(220,1)}
      211:{4,5}:{(198,1),(199,1),(222,1)}
      212:{2,3,6}:{(200,1),(204,1),(216,1),(221,1)}
      213:{3,4,5}:{(200,1),(202,1),(205,1),(217,1),(221,1),(222,1),(228,1)}
      214:{2,3,5}:{(201,1),(202,1),(203,1),(222,1)}
      215:{2,5}:{(204,1),(205,1)}
      216:{1,2,6}:{(206,1),(212,1),(223,1)}
      217:{1,4,5}:{(206,1),(208,1),(213,1),(223,1),(224,1)}
      218:{1,2,3,5}:{(207,1),(208,1),(209,1),(214,1),(223,1),(224,1),(225,1),(229,1)}
      219:{1,4,5}:{(209,1),(210,1),(211,1),(224,1),(225,1)}
      220:{3,6}:{(210,1),(225,1)}
      221:{2,3,5}:{(212,1),(213,1),(215,1),(223,1),(226,1),(229,1)}
      222:{4}:{(214,1)}
      223:{1,2,5}:{(216,1),(217,1),(221,1),(227,1)}
      224:{1,4}:{(218,1),(222,1),(228,1)}
      225:{3,5}:{(219,1),(220,1),(228,1)}
      226:{2,4}:{(221,1),(222,1)}
      227:{1,2,4}:{(223,1),(224,1),(226,1),(229,1)}
      228:{3,4}:{(224,1),(225,1),(229,1)}
      229:{2,3}:{(227,1),(228,1)}

328 :  0:{1,2,3,6}:{(2,1),(3,1),(4,1),(33,1),(34,1),(38,1),(52,1)}
       1:{1,2,4,6}:{(3,1),(4,1),(5,1),(12,1),(18,1),(19,1),(33,1),(41,1),(51,1),(52,1),(58,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(8,1),(10,1),(21,1),(22,1),(23,1),(27,1),(46,1),(56,1),(59,1)}
       3:{1,4,6}:{(0,1),(6,1),(7,1),(8,1)}
       4:{2,3,6}:{(1,1),(7,1),(10,1),(21,1),(29,1),(45,1),(59,1)}
       5:{1,2,5}:{(1,1),(8,1),(9,1),(10,1),(46,1),(50,1),(55,1)}
       6:{1,4}:{(2,1),(13,1),(19,1)}
       7:{3,4,6}:{(3,1),(4,1),(13,1),(15,1),(19,1),(34,1),(36,1),(51,1)}
       8:{1,5}:{(3,1),(15,1)}
       9:{1,4,5}:{(5,1),(17,1),(18,1),(19,1),(37,1),(42,1),(53,1),(58,1)}
      10:{2,3,5}:{(4,1),(5,1),(15,1),(17,1),(19,1),(35,1),(39,1)}
      11:{1,2,5,6}:{(5,1),(16,1),(18,1),(20,1),(33,1),(52,1),(53,1)}
      12:{1,2,4}:{(6,1),(21,1),(22,1),(30,1),(43,1),(46,1)}
      13:{3,4}:{(6,1),(21,1),(23,1),(43,1),(59,1)}
      14:{1,4,5}:{(6,1),(8,1),(22,1),(23,1),(24,1),(25,1),(43,1),(55,1)}
      15:{3,5}:{(7,1),(8,1),(25,1),(55,1)}
      16:{1,5,6}:{(8,1),(24,1),(26,1),(55,1)}
      17:{3,5}:{(9,1),(28,1),(29,1),(59,1)}
      18:{1,4,6}:{(9,1),(11,1),(29,1),(31,1)}
      19:{4}:{(10,1)}
      20:{2,3,5,6}:{(10,1),(11,1),(26,1),(29,1),(31,1),(44,1),(45,1),(48,1),(49,1),(50,1),(55,1)}
      21:{2,3}:{(12,1),(13,1)}
      22:{1,2,5}:{(12,1),(14,1),(32,1),(33,1),(35,1)}
      23:{3,5}:{(13,1),(14,1),(34,1)}
      24:{1,4,6}:{(14,1),(16,1),(33,1),(34,1),(36,1),(51,1)}
      25:{4,5}:{(15,1),(19,1),(35,1),(36,1)}
      26:{3,5,6}:{(15,1),(16,1),(34,1),(36,1)}
      27:{1,3,5}:{(17,1),(37,1),(38,1),(53,1)}
      28:{3,4}:{(17,1),(19,1),(37,1),(39,1)}
      29:{3,6}:{(17,1),(18,1)}
      30:{2,4}:{(19,1),(35,1),(39,1)}
      31:{4,6}:{(19,1),(20,1),(42,1)}
      32:{2,3,5}:{(21,1),(22,1),(23,1),(43,1),(44,1),(55,1)}
      33:{1,2,6}:{(22,1),(24,1),(44,1),(45,1)}
      34:{3,6}:{(23,1),(24,1)}
      35:{2,5}:{(25,1),(30,1),(45,1)}
      36:{4,6}:{(25,1),(26,1),(45,1)}
      37:{1,4}:{(27,1),(28,1),(46,1)}
      38:{1,3,6}:{(27,1),(29,1),(47,1),(59,1)}
      39:{2,3}:{(28,1),(30,1),(46,1)}
      40:{3,4,6}:{(28,1),(29,1),(31,1),(47,1),(48,1),(49,1),(57,1),(59,1)}
      41:{2,4,6}:{(30,1),(31,1),(45,1),(48,1),(50,1),(57,1)}
      42:{4,5}:{(31,1),(49,1),(50,1),(55,1),(57,1)}
      43:{4}:{(32,1)}
      44:{2,3,6}:{(32,1),(33,1),(34,1),(51,1)}
      45:{2,6}:{(35,1),(36,1)}
      46:{1,2}:{(37,1),(39,1)}
      47:{1,4,6}:{(37,1),(38,1),(40,1),(52,1),(53,1),(58,1)}
      48:{2,3,6}:{(39,1),(40,1),(41,1),(52,1),(54,1)}
      49:{3,5}:{(40,1),(42,1),(53,1)}
      50:{2,5}:{(41,1),(42,1)}
      51:{4,6}:{(43,1),(44,1),(55,1)}
      52:{1,2,6}:{(46,1),(47,1),(48,1),(56,1)}
      53:{1,5}:{(47,1),(49,1)}
      54:{2,3,5}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      55:{5}:{(51,1)}
      56:{1,2,5}:{(52,1),(53,1),(54,1),(58,1)}
      57:{4}:{(54,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

329 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

330 :   0:{2,3,4}:{(4,1),(5,1),(81,1),(139,1),(198,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(25,1),(70,1),(81,1),(146,1)}
        2:{2,3,4,6}:{(0,1),(8,1),(10,1),(11,1),(18,1),(42,1),(47,1),(95,1),(99,1),(100,1),(105,1),(113,1),(165,1),(176,1),(222,1)}
        3:{4,5,6}:{(12,1),(13,1),(47,1),(177,1)}
        4:{1,2,4}:{(0,1),(16,1),(17,1),(57,1)}
        5:{2,3,5}:{(0,1),(1,1),(15,1),(17,1),(18,1)}
        6:{1,4,5}:{(1,1),(17,1),(19,1),(20,1),(57,1),(115,1)}
        7:{3,4,6}:{(1,1),(12,1),(18,1),(20,1),(47,1),(100,1)}
        8:{2,3,4}:{(21,1),(22,1),(66,1),(244,1),(271,1)}
        9:{2,4,5}:{(22,1),(24,1),(25,1),(206,1),(244,1)}
       10:{1,2,4,6}:{(2,1),(4,1),(21,1),(26,1),(27,1),(36,1),(65,1),(71,1),(72,1),(84,1),(123,1)}
       11:{2,3,5}:{(2,1),(25,1),(27,1),(70,1),(127,1),(138,1),(146,1),(206,1)}
       12:{3,5,6}:{(3,1),(7,1),(29,1),(146,1)}
       13:{2,5,6}:{(3,1),(24,1),(206,1)}
       14:{1,4,5,6}:{(3,1),(29,1),(30,1),(31,1),(71,1),(74,1),(75,1),(135,1),(234,1),(235,1),(269,1)}
       15:{2,4,5}:{(5,1),(25,1),(34,1),(138,1),(139,1)}
       16:{1,2,3}:{(4,1),(32,1),(198,1)}
       17:{1,2,5}:{(4,1),(5,1),(6,1),(36,1)}
       18:{2,3,6}:{(5,1),(7,1),(34,1),(36,1)}
       19:{1,3,5}:{(6,1),(37,1),(38,1),(70,1)}
       20:{1,4,6}:{(6,1),(7,1),(29,1),(36,1),(38,1)}
       21:{1,2,4}:{(8,1),(40,1),(41,1),(91,1)}
       22:{2,3,5}:{(8,1),(9,1),(39,1),(41,1),(42,1)}
       23:{1,2,4,5}:{(9,1),(41,1),(43,1),(44,1),(46,1),(91,1),(101,1),(106,1),(149,1),(150,1),(156,1),(167,1),(215,1),(222,1),(256,1)}
       24:{2,4,6}:{(9,1),(13,1),(42,1),(47,1)}
       25:{4,5}:{(11,1),(47,1),(222,1)}
       26:{1,2,3,6}:{(10,1),(16,1),(40,1),(45,1),(48,1),(100,1),(162,1),(165,1)}
       27:{1,2,5}:{(10,1),(11,1),(46,1),(115,1),(156,1)}
       28:{2,3,5,6}:{(11,1),(12,1),(13,1),(18,1),(42,1),(47,1),(49,1),(54,1),(88,1),(100,1)}
       29:{1,5,6}:{(12,1),(20,1),(115,1)}
       30:{1,2,5,6}:{(13,1),(14,1),(44,1),(51,1),(103,1),(156,1),(167,1),(210,1)}
       31:{3,5,6}:{(14,1),(52,1),(100,1),(166,1),(255,1)}
       32:{1,3,4}:{(16,1),(53,1),(57,1),(180,1)}
       33:{1,2,4,5}:{(15,1),(17,1),(46,1),(55,1),(56,1),(57,1),(101,1),(109,1),(115,1),(167,1),(168,1),(172,1),(177,1),(179,1),(222,1)}
       34:{2,4,6}:{(15,1),(18,1),(47,1),(54,1)}
       35:{1,2,3,5}:{(16,1),(17,1),(19,1),(53,1),(55,1),(57,1),(58,1),(59,1),(109,1),(115,1)}
       36:{1,2,6}:{(17,1),(18,1),(20,1)}
       37:{1,3,4}:{(19,1),(57,1),(59,1),(99,1)}
       38:{1,3,6}:{(19,1),(20,1),(100,1)}
       39:{3,4,5}:{(22,1),(25,1),(62,1),(63,1),(66,1),(70,1),(127,1)}
       40:{1,2,3}:{(21,1),(61,1),(271,1)}
       41:{1,2,5}:{(21,1),(22,1),(62,1),(65,1)}
       42:{2,3,6}:{(22,1),(24,1),(63,1),(65,1)}
       43:{2,3,5}:{(23,1),(66,1),(67,1),(70,1),(127,1),(132,1),(238,1),(271,1)}
       44:{1,2,4,6}:{(23,1),(24,1),(30,1),(65,1),(67,1),(71,1),(75,1),(123,1),(181,1),(182,1),(235,1)}
       45:{1,3,4,6}:{(26,1),(32,1),(61,1),(68,1),(72,1),(79,1),(84,1),(118,1),(123,1),(130,1),(133,1)}
       46:{1,4,5}:{(25,1),(27,1),(70,1),(71,1),(72,1)}
       47:{4,6}:{(25,1),(28,1)}
       48:{1,2,3,5}:{(26,1),(27,1),(68,1),(70,1),(72,1),(129,1),(132,1),(196,1)}
       49:{1,2,5,6}:{(27,1),(28,1),(29,1),(36,1),(65,1),(71,1),(119,1)}
       50:{1,3,5,6}:{(29,1),(31,1),(38,1),(74,1),(86,1),(269,1),(270,1)}
       51:{2,3,5,6}:{(30,1),(31,1),(67,1),(75,1),(76,1),(127,1),(138,1),(196,1)}
       52:{3,4,6}:{(31,1),(74,1),(75,1),(76,1),(77,1)}
       53:{1,3,5}:{(32,1),(78,1),(79,1),(208,1)}
       54:{2,5,6}:{(34,1),(69,1),(138,1)}
       55:{2,3,5}:{(33,1),(70,1),(81,1),(82,1),(132,1),(146,1),(198,1),(208,1)}
       56:{1,2,4,6}:{(33,1),(34,1),(36,1),(71,1),(80,1),(82,1),(84,1),(142,1),(144,1),(202,1),(205,1)}
       57:{1,4}:{(35,1),(81,1)}
       58:{1,2,3,6}:{(35,1),(36,1),(38,1),(79,1),(82,1),(84,1),(142,1)}
       59:{1,2,3}:{(37,1),(83,1),(132,1)}
       60:{1,3,4,6}:{(37,1),(38,1),(74,1),(84,1),(85,1),(86,1),(133,1),(148,1),(270,1),(272,1),(274,1)}
       61:{1,3,4}:{(40,1),(87,1),(91,1),(257,1)}
       62:{1,4,5}:{(39,1),(41,1),(89,1),(90,1),(91,1),(156,1)}
       63:{3,4,6}:{(39,1),(42,1),(47,1),(88,1),(90,1),(100,1)}
       64:{1,2,3,5}:{(40,1),(41,1),(43,1),(87,1),(89,1),(91,1),(92,1),(150,1),(153,1),(156,1)}
       65:{1,2,6}:{(41,1),(42,1),(90,1)}
       66:{3,4}:{(43,1),(91,1),(222,1)}
       67:{2,3,6}:{(43,1),(44,1),(95,1),(100,1),(255,1)}
       68:{1,3,5}:{(45,1),(96,1),(115,1),(156,1),(166,1)}
       69:{4,5,6}:{(47,1),(54,1),(88,1),(106,1)}
       70:{3,5}:{(46,1),(99,1),(100,1)}
       71:{1,4,6}:{(46,1),(47,1),(49,1),(100,1)}
       72:{1,4}:{(48,1),(99,1),(222,1)}
       73:{1,2,3,5,6}:{(48,1),(49,1),(50,1),(51,1),(58,1),(92,1),(97,1),(100,1),(102,1),(103,1),(111,1),(115,1),(116,1),(152,1),(156,1),(162,1),(165,1),(166,1),(167,1),(175,1),(211,1),(212,1),(214,1),(219,1),(230,1),(255,1),(262,1),(279,1)}
       74:{1,4,6}:{(50,1),(52,1),(103,1),(104,1)}
       75:{4,6}:{(51,1),(106,1),(222,1)}
       76:{2,3,6}:{(52,1),(103,1),(105,1),(107,1)}
       77:{3,4,5}:{(52,1),(104,1),(106,1),(107,1),(166,1),(180,1),(222,1)}
       78:{1,4,5}:{(53,1),(57,1),(108,1),(109,1),(110,1),(115,1)}
       79:{1,3,6}:{(53,1),(110,1),(230,1)}
       80:{1,2,5,6}:{(54,1),(56,1),(98,1),(111,1),(115,1),(167,1),(212,1),(227,1)}
       81:{3,4}:{(55,1),(57,1),(222,1)}
       82:{2,3,6}:{(55,1),(56,1),(100,1),(113,1),(230,1)}
       83:{1,2,4}:{(57,1),(59,1),(109,1),(112,1)}
       84:{1,4,6}:{(57,1),(58,1),(113,1),(115,1)}
       85:{1,2,3,6}:{(59,1),(60,1),(103,1),(114,1),(116,1),(165,1),(230,1),(278,1)}
       86:{1,3,5}:{(60,1),(104,1),(115,1),(166,1),(279,1)}
       87:{1,3,5}:{(61,1),(117,1),(118,1),(238,1)}
       88:{3,5,6}:{(63,1),(69,1),(119,1),(127,1)}
       89:{1,3,5}:{(62,1),(70,1),(120,1),(121,1)}
       90:{1,4,6}:{(62,1),(63,1),(65,1),(119,1),(121,1)}
       91:{1,4}:{(64,1),(66,1)}
       92:{1,2,3,6}:{(64,1),(65,1),(67,1),(118,1),(121,1),(123,1),(182,1)}
       93:{3,4,5}:{(66,1),(117,1),(124,1),(125,1),(127,1),(189,1),(238,1)}
       94:{2,3,4}:{(66,1),(122,1),(124,1),(132,1),(190,1)}
       95:{3,4,6}:{(66,1),(67,1),(75,1),(123,1),(127,1)}
       96:{1,4,5}:{(68,1),(72,1),(128,1),(129,1),(130,1)}
       97:{1,3,5,6}:{(68,1),(79,1),(118,1),(130,1),(143,1),(183,1),(192,1)}
       98:{1,4,5,6}:{(69,1),(71,1),(80,1),(119,1),(131,1),(135,1),(144,1),(184,1),(205,1),(248,1),(276,1)}
       99:{3,4}:{(70,1),(72,1),(132,1)}
      100:{3,6}:{(70,1),(71,1)}
      101:{1,2,4}:{(72,1),(129,1),(132,1),(190,1)}
      102:{1,4,6}:{(72,1),(73,1),(75,1),(133,1),(135,1),(144,1),(148,1),(237,1),(242,1)}
      103:{1,2,6}:{(74,1),(76,1),(136,1)}
      104:{1,4,5}:{(74,1),(77,1),(86,1),(136,1),(148,1)}
      105:{2,4,6}:{(75,1),(76,1),(138,1),(139,1)}
      106:{4,5}:{(75,1),(127,1),(138,1)}
      107:{2,3,5}:{(76,1),(77,1),(136,1),(138,1),(139,1),(198,1)}
      108:{3,4,5}:{(78,1),(81,1),(140,1),(141,1),(146,1),(207,1),(208,1)}
      109:{1,2,5}:{(78,1),(83,1),(140,1),(142,1)}
      110:{1,4,6}:{(78,1),(79,1),(141,1),(142,1),(143,1)}
      111:{2,3,5,6}:{(80,1),(82,1),(131,1),(144,1),(146,1),(194,1),(196,1),(206,1)}
      112:{2,3,4}:{(81,1),(83,1),(132,1),(140,1),(190,1)}
      113:{3,4,6}:{(81,1),(82,1),(84,1),(144,1),(146,1)}
      114:{1,2,4,6}:{(83,1),(84,1),(85,1),(142,1),(145,1),(147,1),(148,1),(205,1),(274,1),(275,1),(277,1)}
      115:{1,5}:{(84,1),(146,1)}
      116:{1,2,3,5}:{(85,1),(86,1),(136,1),(147,1),(148,1),(196,1),(198,1),(208,1)}
      117:{1,4,5}:{(87,1),(91,1),(93,1),(150,1),(151,1),(156,1)}
      118:{1,3,6}:{(87,1),(151,1),(255,1)}
      119:{1,5,6}:{(88,1),(90,1),(156,1)}
      120:{1,3,4}:{(89,1),(91,1),(99,1),(153,1)}
      121:{1,3,6}:{(89,1),(90,1),(100,1)}
      122:{1,2,4}:{(91,1),(94,1),(150,1),(153,1)}
      123:{1,4,6}:{(91,1),(92,1),(95,1),(156,1)}
      124:{2,3,5}:{(93,1),(94,1),(149,1),(150,1),(157,1)}
      125:{3,4,6}:{(93,1),(151,1),(157,1),(158,1),(216,1),(255,1)}
      126:{2,3,4,6}:{(94,1),(95,1),(105,1),(155,1),(157,1),(159,1),(165,1),(171,1),(216,1),(218,1),(222,1),(225,1),(255,1),(257,1),(261,1)}
      127:{3,5}:{(95,1),(106,1),(156,1)}
      128:{3,4,5}:{(96,1),(99,1),(160,1),(161,1),(166,1),(222,1),(260,1)}
      129:{1,2,5}:{(96,1),(101,1),(160,1),(162,1)}
      130:{1,4,6}:{(96,1),(97,1),(161,1),(162,1)}
      131:{3,5,6}:{(98,1),(100,1),(164,1),(166,1),(230,1)}
      132:{2,3}:{(99,1),(101,1)}
      133:{3,4,6}:{(99,1),(100,1),(102,1),(165,1),(166,1),(180,1),(222,1),(230,1),(255,1),(257,1)}
      134:{1,2,4,6}:{(101,1),(102,1),(103,1),(105,1),(162,1),(165,1),(167,1),(168,1),(176,1),(212,1),(218,1),(222,1),(256,1)}
      135:{1,4,5}:{(102,1),(106,1),(115,1),(156,1),(166,1),(167,1),(177,1),(222,1),(260,1),(279,1)}
      136:{1,2,5}:{(103,1),(104,1),(107,1),(168,1)}
      137:{4,5,6}:{(106,1),(158,1),(169,1),(216,1)}
      138:{2,5}:{(105,1),(106,1)}
      139:{2,4}:{(107,1),(222,1)}
      140:{2,3,5}:{(108,1),(109,1),(112,1),(172,1),(173,1)}
      141:{3,4,6}:{(108,1),(110,1),(173,1),(174,1),(229,1),(230,1)}
      142:{1,2,6}:{(109,1),(110,1),(173,1)}
      143:{1,5,6}:{(110,1),(115,1),(174,1)}
      144:{4,6}:{(111,1),(177,1),(222,1)}
      145:{2,3,4,6}:{(112,1),(113,1),(114,1),(165,1),(173,1),(176,1),(178,1),(180,1),(218,1),(222,1),(229,1),(230,1),(261,1),(263,1),(266,1)}
      146:{3,5}:{(113,1),(115,1),(177,1)}
      147:{1,2,5}:{(114,1),(115,1),(178,1),(179,1),(279,1)}
      148:{1,4}:{(116,1),(180,1),(222,1)}
      149:{2,4,5}:{(124,1),(181,1),(189,1),(190,1),(241,1)}
      150:{1,2,5}:{(117,1),(122,1),(124,1),(182,1)}
      151:{1,4,6}:{(117,1),(118,1),(125,1),(182,1),(183,1)}
      152:{1,3,5,6}:{(119,1),(121,1),(131,1),(184,1),(186,1),(251,1),(276,1)}
      153:{1,2,3}:{(120,1),(122,1),(132,1)}
      154:{1,3,4,6}:{(120,1),(121,1),(123,1),(133,1),(184,1),(185,1),(186,1),(209,1),(237,1),(251,1),(274,1)}
      155:{1,2,4,6}:{(122,1),(123,1),(126,1),(182,1),(185,1),(187,1),(201,1),(235,1),(237,1),(247,1),(274,1)}
      156:{1,5}:{(123,1),(127,1)}
      157:{2,3,6}:{(124,1),(125,1),(181,1),(182,1)}
      158:{3,5,6}:{(125,1),(127,1),(137,1),(183,1)}
      159:{2,3,5}:{(126,1),(127,1),(138,1),(187,1),(189,1),(238,1),(241,1),(273,1)}
      160:{2,3,5}:{(128,1),(129,1),(132,1),(190,1),(191,1),(241,1)}
      161:{3,4,6}:{(128,1),(130,1),(191,1),(192,1),(242,1)}
      162:{1,2,6}:{(129,1),(130,1),(191,1)}
      163:{1,4,5,6}:{(130,1),(135,1),(137,1),(143,1),(183,1),(192,1),(193,1),(203,1),(205,1),(235,1),(242,1)}
      164:{3,4,6}:{(131,1),(144,1),(184,1),(194,1),(195,1)}
      165:{2,3,6}:{(132,1),(133,1),(134,1),(196,1),(198,1),(271,1)}
      166:{3,5}:{(133,1),(135,1)}
      167:{1,2,5}:{(134,1),(135,1),(138,1),(196,1),(206,1),(241,1)}
      168:{1,2,4}:{(136,1),(139,1),(148,1),(198,1)}
      169:{2,5,6}:{(137,1),(138,1),(199,1)}
      170:{2,4,5}:{(138,1),(139,1),(189,1),(199,1),(200,1)}
      171:{2,3,4}:{(139,1),(198,1),(200,1),(201,1),(245,1)}
      172:{2,4,5}:{(140,1),(190,1),(202,1),(207,1),(241,1)}
      173:{2,3,6}:{(140,1),(141,1),(142,1),(202,1)}
      174:{3,5,6}:{(141,1),(143,1),(146,1),(203,1)}
      175:{1,2,5,6}:{(142,1),(143,1),(147,1),(204,1),(205,1),(276,1),(277,1)}
      176:{2,4,6}:{(144,1),(194,1),(206,1),(244,1)}
      177:{4,5}:{(144,1),(146,1),(206,1)}
      178:{2,3,5}:{(145,1),(146,1),(147,1),(206,1),(207,1),(208,1),(241,1),(273,1)}
      179:{1,4,5}:{(147,1),(148,1),(205,1),(207,1),(208,1)}
      180:{3,4}:{(148,1),(198,1),(208,1)}
      181:{2,4,6}:{(149,1),(157,1),(210,1),(216,1)}
      182:{1,2,6}:{(150,1),(151,1),(157,1)}
      183:{1,5,6}:{(151,1),(156,1),(158,1)}
      184:{1,4,6}:{(152,1),(164,1),(212,1),(213,1)}
      185:{1,2,3,6}:{(153,1),(154,1),(155,1),(165,1),(212,1),(214,1),(224,1),(255,1)}
      186:{1,3,5}:{(154,1),(156,1),(166,1),(213,1),(279,1)}
      187:{1,2,5}:{(155,1),(156,1),(159,1),(215,1),(279,1)}
      188:{2,3,5,6}:{(157,1),(158,1),(159,1),(169,1),(210,1),(211,1),(216,1),(225,1),(254,1),(255,1)}
      189:{4,5}:{(159,1),(216,1),(222,1)}
      190:{2,4}:{(160,1),(222,1)}
      191:{2,3,6}:{(160,1),(161,1),(162,1),(218,1)}
      192:{3,5,6}:{(161,1),(163,1),(166,1),(230,1),(255,1)}
      193:{1,2,5,6}:{(162,1),(163,1),(167,1),(169,1),(219,1),(220,1),(228,1),(279,1)}
      194:{2,3,6}:{(164,1),(176,1),(212,1),(221,1)}
      195:{3,4,5}:{(164,1),(166,1),(177,1),(213,1),(221,1),(222,1),(257,1)}
      196:{2,3,5}:{(165,1),(166,1),(167,1),(222,1)}
      197:{1,2,4,5}:{(167,1),(168,1),(170,1),(179,1),(215,1),(220,1),(222,1),(223,1),(226,1),(231,1),(256,1),(260,1),(264,1),(268,1),(279,1)}
      198:{2,3}:{(168,1),(180,1)}
      199:{2,4,6}:{(169,1),(170,1),(216,1),(225,1)}
      200:{2,3,5}:{(170,1),(171,1),(217,1),(225,1),(226,1)}
      201:{1,2,4}:{(171,1),(224,1),(226,1),(264,1)}
      202:{2,4,6}:{(172,1),(173,1),(227,1),(229,1)}
      203:{4,5,6}:{(174,1),(177,1),(228,1),(229,1)}
      204:{2,3,5,6}:{(173,1),(174,1),(175,1),(178,1),(227,1),(228,1),(229,1),(230,1),(265,1),(266,1)}
      205:{1,4,6}:{(175,1),(179,1),(229,1),(230,1)}
      206:{2,5}:{(176,1),(177,1)}
      207:{4,5}:{(178,1),(222,1),(229,1)}
      208:{3,5}:{(179,1),(180,1),(230,1)}
      209:{1,3,4}:{(180,1),(224,1),(233,1),(264,1)}
      210:{2,5,6}:{(181,1),(234,1),(241,1)}
      211:{1,2,5,6}:{(182,1),(183,1),(187,1),(188,1),(235,1),(247,1),(269,1)}
      212:{1,2,6}:{(184,1),(194,1),(236,1)}
      213:{1,4,5}:{(184,1),(186,1),(195,1),(236,1),(237,1)}
      214:{1,2,3,5}:{(185,1),(186,1),(187,1),(196,1),(236,1),(237,1),(238,1),(271,1)}
      215:{1,4,5}:{(187,1),(189,1),(235,1),(237,1),(238,1)}
      216:{4,6}:{(188,1),(189,1)}
      217:{3,4,5}:{(189,1),(200,1),(238,1),(239,1),(240,1),(245,1),(273,1)}
      218:{2,4,6}:{(190,1),(191,1),(241,1),(242,1)}
      219:{2,3,5,6}:{(191,1),(192,1),(193,1),(196,1),(241,1),(242,1),(243,1),(273,1)}
      220:{1,2,4,6}:{(193,1),(197,1),(199,1),(205,1),(235,1),(242,1),(243,1),(247,1),(249,1),(274,1),(277,1)}
      221:{2,3,5}:{(194,1),(195,1),(206,1),(236,1),(244,1),(271,1)}
      222:{4}:{(196,1)}
      223:{2,3,5}:{(197,1),(198,1),(208,1),(238,1),(243,1),(245,1),(271,1),(273,1)}
      224:{1,2,3}:{(198,1),(201,1),(209,1)}
      225:{2,3,6}:{(199,1),(200,1),(239,1),(247,1)}
      226:{1,2,5}:{(200,1),(201,1),(240,1),(247,1)}
      227:{2,5,6}:{(202,1),(241,1),(248,1)}
      228:{2,5,6}:{(203,1),(206,1),(249,1)}
      229:{4,6}:{(204,1),(207,1)}
      230:{3,6}:{(205,1),(208,1)}
      231:{2,4,5}:{(206,1),(207,1),(244,1),(249,1),(252,1)}
      232:{3,4,5}:{(207,1),(208,1),(245,1),(250,1),(252,1),(253,1),(273,1)}
      233:{1,3,5}:{(208,1),(209,1),(251,1),(253,1)}
      234:{4,5,6}:{(210,1),(216,1),(254,1),(260,1)}
      235:{1,4,6}:{(211,1),(215,1),(216,1),(255,1)}
      236:{1,2,5}:{(212,1),(213,1),(221,1),(256,1)}
      237:{1,4}:{(214,1),(222,1),(257,1)}
      238:{3,5}:{(215,1),(255,1),(257,1)}
      239:{3,4,6}:{(216,1),(217,1),(225,1),(254,1),(255,1),(259,1)}
      240:{1,4,5}:{(217,1),(226,1),(258,1),(259,1),(264,1),(279,1)}
      241:{2,5}:{(218,1),(260,1)}
      242:{4,6}:{(219,1),(222,1),(260,1)}
      243:{2,3,6}:{(220,1),(223,1),(230,1),(255,1),(261,1)}
      244:{2,4}:{(221,1),(222,1)}
      245:{3,4}:{(222,1),(223,1),(264,1)}
      246:{1,2,3,5}:{(223,1),(224,1),(226,1),(233,1),(258,1),(262,1),(264,1),(268,1),(278,1),(279,1)}
      247:{1,2,6}:{(225,1),(226,1),(259,1)}
      248:{4,5,6}:{(227,1),(229,1),(260,1),(265,1)}
      249:{2,4,6}:{(228,1),(229,1),(231,1),(266,1)}
      250:{3,4,6}:{(229,1),(230,1),(232,1),(265,1),(266,1),(267,1)}
      251:{1,3,6}:{(230,1),(233,1),(267,1)}
      252:{2,3,5}:{(231,1),(232,1),(263,1),(266,1),(268,1)}
      253:{1,4,5}:{(232,1),(233,1),(264,1),(267,1),(268,1),(279,1)}
      254:{3,5,6}:{(234,1),(239,1),(269,1),(273,1)}
      255:{3,6}:{(235,1),(238,1)}
      256:{1,2,4}:{(236,1),(237,1),(244,1),(271,1)}
      257:{3,4}:{(237,1),(238,1),(271,1)}
      258:{1,3,5}:{(238,1),(240,1),(270,1),(272,1)}
      259:{1,4,6}:{(239,1),(240,1),(247,1),(269,1),(270,1)}
      260:{4,5}:{(241,1),(242,1),(273,1)}
      261:{3,4,6}:{(242,1),(243,1),(245,1),(273,1),(274,1)}
      262:{1,2,3,6}:{(243,1),(246,1),(247,1),(251,1),(270,1),(274,1),(277,1)}
      263:{2,3,4}:{(244,1),(245,1),(252,1),(271,1),(275,1)}
      264:{1,4}:{(245,1),(246,1)}
      265:{3,5,6}:{(248,1),(250,1),(273,1),(276,1)}
      266:{2,3,6}:{(249,1),(250,1),(252,1),(277,1)}
      267:{1,4,6}:{(250,1),(251,1),(253,1),(276,1),(277,1)}
      268:{1,2,5}:{(252,1),(253,1),(275,1),(277,1)}
      269:{1,5,6}:{(254,1),(259,1),(279,1)}
      270:{1,3,6}:{(255,1),(258,1),(259,1)}
      271:{2,3}:{(256,1),(257,1)}
      272:{1,3,4}:{(257,1),(258,1),(264,1),(278,1)}
      273:{3,5}:{(260,1),(261,1),(279,1)}
      274:{1,4,6}:{(261,1),(262,1),(264,1),(279,1)}
      275:{1,2,4}:{(263,1),(264,1),(268,1),(278,1)}
      276:{1,5,6}:{(265,1),(267,1),(279,1)}
      277:{1,2,6}:{(266,1),(267,1),(268,1)}
      278:{1,2,3}:{(271,1),(272,1),(275,1)}
      279:{1,5}:{(273,1),(274,1)}

331 :   0:{1,3,4,6}:{(1,1),(3,1),(10,1),(12,1),(33,1),(132,1),(134,1),(182,1)}
        1:{1,2,3,6}:{(0,1),(5,1),(6,1),(19,1),(51,1),(57,1),(114,1)}
        2:{2,3,4,6}:{(5,1),(7,1),(24,1),(25,1),(51,1),(57,1),(62,1),(65,1),(100,1),(107,1),(146,1)}
        3:{1,3,5}:{(0,1),(8,1),(50,1),(158,1)}
        4:{1,3,5,6}:{(3,1),(10,1),(30,1),(181,1),(182,1)}
        5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(36,1),(86,1),(88,1),(132,1)}
        6:{1,2,3,5}:{(1,1),(3,1),(11,1),(12,1),(15,1),(38,1),(39,1),(73,1)}
        7:{2,3,5}:{(2,1),(11,1),(14,1),(38,1),(133,1),(170,1)}
        8:{1,4,5}:{(3,1),(10,1),(12,1),(15,1),(16,1)}
        9:{1,2,3,5,6}:{(4,1),(6,1),(18,1),(19,1),(21,1),(47,1),(49,1),(50,1),(51,1),(57,1),(91,1),(97,1),(98,1),(99,1),(106,1),(143,1),(145,1),(154,1),(158,1),(196,1)}
       10:{1,4,6}:{(4,1),(8,1),(19,1),(20,1)}
       11:{1,2,5}:{(5,1),(7,1),(22,1),(158,1)}
       12:{1,4}:{(6,1),(24,1),(100,1)}
       13:{2,3,5,6}:{(7,1),(21,1),(25,1),(53,1),(54,1),(57,1),(62,1)}
       14:{4,5}:{(7,1),(25,1),(100,1)}
       15:{1,2,5}:{(8,1),(19,1),(23,1),(28,1)}
       16:{3,4,5}:{(8,1),(20,1),(24,1),(28,1),(50,1),(93,1),(100,1)}
       17:{1,4,5,6}:{(10,1),(29,1),(30,1),(31,1),(69,1),(176,1),(178,1),(181,1)}
       18:{1,4,6}:{(9,1),(12,1),(31,1),(33,1),(69,1),(125,1),(126,1)}
       19:{1,2,6}:{(10,1),(15,1),(35,1)}
       20:{3,4,6}:{(10,1),(16,1),(30,1),(35,1),(69,1)}
       21:{1,2,5,6}:{(11,1),(13,1),(36,1),(78,1),(86,1)}
       22:{1,4,5}:{(11,1),(12,1),(14,1),(36,1),(38,1)}
       23:{1,2,4}:{(12,1),(15,1),(39,1),(45,1)}
       24:{3,4}:{(12,1),(38,1),(39,1)}
       25:{4,6}:{(13,1),(14,1)}
       26:{2,4,5}:{(14,1),(41,1),(43,1),(123,1),(131,1),(170,1)}
       27:{3,4,5}:{(14,1),(38,1),(42,1),(43,1),(44,1),(83,1),(131,1),(133,1),(179,1)}
       28:{2,3,5}:{(15,1),(16,1),(35,1),(39,1),(45,1),(79,1)}
       29:{1,2,5,6}:{(17,1),(19,1),(46,1),(47,1),(49,1),(143,1),(191,1)}
       30:{3,5,6}:{(17,1),(20,1),(50,1),(196,1)}
       31:{1,4,5}:{(18,1),(49,1),(50,1),(93,1),(100,1),(143,1),(150,1),(158,1)}
       32:{1,2,4,6}:{(18,1),(19,1),(23,1),(49,1),(51,1),(55,1),(100,1),(145,1),(146,1),(147,1)}
       33:{3,4,6}:{(18,1),(24,1),(50,1),(51,1),(57,1),(100,1),(151,1),(196,1)}
       34:{4,5,6}:{(25,1),(53,1),(54,1),(104,1),(150,1)}
       35:{2,3,6}:{(19,1),(20,1),(28,1),(55,1)}
       36:{1,4,6}:{(21,1),(22,1),(25,1),(57,1)}
       37:{1,2,4,5}:{(22,1),(23,1),(26,1),(49,1),(56,1),(58,1),(64,1),(66,1),(100,1),(108,1),(110,1),(147,1),(150,1),(152,1),(156,1),(158,1),(190,1),(200,1),(215,1)}
       38:{3,5}:{(22,1),(24,1),(57,1)}
       39:{2,3}:{(23,1),(24,1)}
       40:{1,3,4}:{(24,1),(59,1),(60,1),(108,1),(197,1)}
       41:{2,4,6}:{(25,1),(26,1),(53,1),(62,1),(104,1)}
       42:{3,4,6}:{(25,1),(27,1),(54,1),(57,1),(62,1),(63,1),(104,1),(155,1)}
       43:{2,3,5}:{(26,1),(27,1),(62,1),(64,1),(65,1)}
       44:{1,4,5}:{(27,1),(59,1),(63,1),(64,1),(108,1),(158,1)}
       45:{2,4}:{(28,1),(100,1)}
       46:{1,2,4,6}:{(29,1),(67,1),(68,1),(69,1),(117,1),(173,1),(178,1),(202,1)}
       47:{2,3,5,6}:{(29,1),(30,1),(35,1),(68,1),(69,1),(73,1),(79,1),(118,1)}
       48:{1,4,5,6}:{(31,1),(34,1),(36,1),(71,1),(72,1),(78,1),(119,1),(121,1),(125,1),(130,1),(168,1),(175,1),(178,1)}
       49:{1,2,5}:{(31,1),(32,1),(73,1),(79,1),(170,1)}
       50:{3,5}:{(31,1),(33,1)}
       51:{2,3,6}:{(32,1),(33,1),(39,1),(73,1),(171,1)}
       52:{1,3,4,6}:{(33,1),(40,1),(74,1),(75,1),(81,1),(117,1),(121,1),(126,1),(132,1),(165,1),(174,1),(203,1),(221,1)}
       53:{2,5,6}:{(34,1),(41,1),(170,1)}
       54:{3,5,6}:{(34,1),(42,1),(78,1),(133,1)}
       55:{2,4,6}:{(35,1),(45,1),(69,1),(79,1)}
       56:{1,2,4,6}:{(36,1),(37,1),(41,1),(71,1),(80,1),(86,1),(89,1),(125,1),(130,1),(132,1),(137,1),(178,1)}
       57:{3,6}:{(36,1),(38,1)}
       58:{2,3,5}:{(37,1),(38,1),(39,1),(80,1),(83,1),(133,1),(171,1),(177,1),(179,1),(210,1)}
       59:{1,3,5}:{(38,1),(40,1),(44,1),(81,1),(179,1)}
       60:{1,2,3}:{(39,1),(40,1),(84,1),(210,1)}
       61:{2,3,4}:{(39,1),(45,1),(83,1),(84,1),(85,1),(210,1),(222,1)}
       62:{2,3,6}:{(41,1),(42,1),(43,1),(86,1)}
       63:{1,4,6}:{(42,1),(44,1),(78,1),(81,1),(86,1)}
       64:{1,2,5}:{(43,1),(44,1),(86,1),(88,1)}
       65:{2,3,4}:{(43,1),(83,1),(88,1),(123,1),(171,1)}
       66:{2,4,5}:{(45,1),(79,1),(85,1),(89,1),(127,1),(222,1),(229,1)}
       67:{1,2,4,5}:{(46,1),(49,1),(90,1),(93,1),(100,1),(141,1),(143,1),(147,1),(148,1),(152,1),(185,1)}
       68:{2,3,6}:{(46,1),(90,1),(92,1),(196,1)}
       69:{4,6}:{(47,1),(93,1),(100,1)}
       70:{3,4,5}:{(50,1),(94,1),(95,1),(96,1),(100,1),(150,1),(151,1),(194,1),(215,1)}
       71:{1,2,5,6}:{(48,1),(49,1),(53,1),(56,1),(97,1),(105,1),(145,1),(158,1),(190,1)}
       72:{3,5,6}:{(48,1),(50,1),(57,1),(94,1),(155,1),(194,1),(196,1)}
       73:{2,3,5}:{(49,1),(50,1),(51,1),(100,1)}
       74:{1,3,5}:{(50,1),(52,1),(96,1),(143,1),(158,1),(194,1),(226,1)}
       75:{1,2,3,6}:{(51,1),(52,1),(60,1),(99,1),(101,1),(145,1),(184,1),(189,1),(196,1)}
       76:{2,3,4,6}:{(51,1),(55,1),(61,1),(92,1),(100,1),(101,1),(102,1),(107,1),(111,1),(140,1),(146,1),(151,1),(153,1),(186,1),(189,1),(196,1),(215,1),(217,1),(227,1)}
       77:{2,3,5,6}:{(53,1),(54,1),(62,1),(103,1),(104,1),(113,1),(155,1)}
       78:{1,5,6}:{(54,1),(63,1),(158,1)}
       79:{2,5}:{(55,1),(93,1)}
       80:{2,3,6}:{(56,1),(57,1),(58,1),(107,1),(155,1),(196,1)}
       81:{1,3,6}:{(57,1),(59,1),(63,1),(155,1)}
       82:{1,2,3,5}:{(58,1),(59,1),(60,1),(64,1),(106,1),(108,1),(110,1),(114,1),(158,1),(160,1)}
       83:{3,4}:{(58,1),(100,1),(108,1),(215,1)}
       84:{1,2,4}:{(60,1),(61,1),(108,1),(110,1)}
       85:{2,3,5}:{(61,1),(66,1),(109,1),(110,1),(111,1)}
       86:{1,2,6}:{(62,1),(63,1),(64,1)}
       87:{2,3,4,6}:{(62,1),(65,1),(104,1),(107,1),(112,1),(113,1),(146,1),(155,1),(189,1),(197,1),(215,1)}
       88:{1,2,4}:{(64,1),(65,1),(108,1),(114,1)}
       89:{2,4,6}:{(66,1),(105,1),(111,1),(153,1)}
       90:{2,3,5}:{(67,1),(68,1),(116,1),(118,1),(171,1),(177,1)}
       91:{1,2,3,6}:{(68,1),(115,1),(117,1),(202,1),(203,1)}
       92:{3,4,6}:{(68,1),(69,1),(116,1),(117,1),(118,1)}
       93:{4,5}:{(69,1),(79,1),(118,1)}
       94:{3,4,6}:{(70,1),(72,1),(120,1),(121,1),(125,1)}
       95:{2,3,5}:{(70,1),(120,1),(122,1),(123,1),(170,1),(171,1)}
       96:{1,4,5}:{(70,1),(74,1),(121,1),(122,1),(126,1)}
       97:{2,3,5,6}:{(71,1),(72,1),(73,1),(80,1),(120,1),(125,1),(133,1),(170,1),(204,1)}
       98:{1,3,5,6}:{(72,1),(74,1),(78,1),(81,1),(121,1),(168,1),(203,1)}
       99:{1,2,3,5}:{(73,1),(74,1),(75,1),(122,1),(126,1),(128,1),(171,1),(177,1),(204,1)}
      100:{4}:{(73,1)}
      101:{1,2,4,6}:{(75,1),(76,1),(84,1),(117,1),(126,1),(128,1),(132,1),(137,1),(163,1),(178,1),(202,1),(221,1)}
      102:{2,3,5}:{(76,1),(79,1),(118,1),(127,1),(128,1),(133,1),(170,1),(177,1),(224,1),(229,1)}
      103:{1,2,5,6}:{(77,1),(78,1),(86,1),(130,1),(139,1)}
      104:{4,6}:{(77,1),(131,1)}
      105:{2,5,6}:{(79,1),(89,1),(119,1),(229,1)}
      106:{1,2,3,6}:{(80,1),(81,1),(82,1),(86,1),(132,1),(137,1),(182,1)}
      107:{3,4,6}:{(80,1),(83,1),(125,1),(132,1),(133,1)}
      108:{1,4}:{(82,1),(83,1)}
      109:{3,4,5}:{(83,1),(85,1),(127,1),(133,1),(135,1),(136,1),(177,1)}
      110:{1,2,5}:{(84,1),(85,1),(135,1),(137,1)}
      111:{2,3,6}:{(85,1),(89,1),(136,1),(137,1)}
      112:{1,2,4,6}:{(86,1),(87,1),(88,1),(130,1),(132,1),(138,1),(139,1),(183,1)}
      113:{2,3,5}:{(87,1),(131,1),(133,1),(139,1),(170,1),(179,1)}
      114:{1,2,3}:{(88,1),(134,1),(171,1)}
      115:{1,2,3,5}:{(90,1),(91,1),(141,1),(143,1),(184,1),(185,1),(187,1)}
      116:{3,4}:{(90,1),(100,1),(141,1)}
      117:{1,4,6}:{(91,1),(92,1),(141,1),(143,1)}
      118:{3,5}:{(92,1),(93,1),(143,1)}
      119:{4,5,6}:{(93,1),(105,1),(144,1),(153,1),(228,1)}
      120:{2,3,6}:{(94,1),(95,1),(145,1),(146,1)}
      121:{1,4,6}:{(94,1),(96,1),(98,1),(145,1)}
      122:{1,2,5}:{(95,1),(96,1),(145,1),(147,1)}
      123:{2,4}:{(95,1),(100,1),(215,1)}
      124:{1,2,3,5,6}:{(97,1),(98,1),(99,1),(103,1),(106,1),(145,1),(149,1),(154,1),(155,1),(158,1),(162,1),(189,1),(190,1),(194,1),(196,1),(199,1),(214,1),(216,1),(220,1),(226,1)}
      125:{4,6}:{(97,1),(100,1),(150,1),(215,1)}
      126:{1,4}:{(99,1),(100,1),(151,1),(215,1)}
      127:{4,5}:{(100,1),(102,1),(153,1),(215,1)}
      128:{1,2,5}:{(101,1),(102,1),(143,1),(152,1),(158,1),(226,1)}
      129:{2,3,5,6}:{(102,1),(105,1),(111,1),(144,1),(153,1),(154,1),(159,1),(186,1),(191,1),(196,1)}
      130:{1,4,6}:{(103,1),(104,1),(155,1),(156,1)}
      131:{4,5}:{(104,1),(113,1),(215,1)}
      132:{1,4,6}:{(106,1),(107,1),(108,1),(158,1)}
      133:{3,5}:{(107,1),(150,1),(158,1)}
      134:{1,3,4}:{(108,1),(114,1),(151,1),(160,1)}
      135:{1,4,5}:{(108,1),(109,1),(110,1),(158,1),(160,1),(161,1)}
      136:{3,4,6}:{(109,1),(111,1),(153,1),(159,1),(161,1),(196,1)}
      137:{1,2,6}:{(110,1),(111,1),(161,1)}
      138:{1,2,3,6}:{(112,1),(114,1),(155,1),(157,1),(162,1),(189,1),(220,1)}
      139:{1,2,5}:{(112,1),(113,1),(156,1),(158,1)}
      140:{2,3,4}:{(116,1),(123,1),(163,1),(164,1),(171,1),(206,1)}
      141:{1,4}:{(115,1),(116,1)}
      142:{3,4,5}:{(116,1),(118,1),(127,1),(164,1),(166,1),(167,1),(177,1),(206,1),(224,1)}
      143:{1,5}:{(117,1),(118,1)}
      144:{3,5,6}:{(118,1),(119,1),(167,1),(168,1),(224,1)}
      145:{1,2,6}:{(120,1),(121,1),(122,1)}
      146:{2,4,6}:{(120,1),(123,1),(125,1),(170,1)}
      147:{1,2,4}:{(122,1),(123,1),(126,1),(171,1)}
      148:{2,4,5}:{(123,1),(127,1),(164,1),(170,1),(173,1)}
      149:{1,4,6}:{(124,1),(125,1),(126,1),(174,1),(175,1),(183,1),(223,1)}
      150:{4,5}:{(125,1),(133,1),(170,1)}
      151:{3,4}:{(126,1),(171,1),(177,1)}
      152:{1,4,5}:{(126,1),(127,1),(128,1),(177,1),(178,1)}
      153:{4,6}:{(127,1),(129,1)}
      154:{1,2,5,6}:{(128,1),(129,1),(137,1),(168,1),(178,1),(181,1),(202,1)}
      155:{3,6}:{(130,1),(179,1)}
      156:{1,4,5}:{(130,1),(131,1),(139,1),(179,1),(183,1)}
      157:{1,3,4,6}:{(132,1),(134,1),(138,1),(174,1),(180,1),(182,1),(183,1),(212,1)}
      158:{1,5}:{(132,1),(133,1)}
      159:{3,5,6}:{(133,1),(136,1),(176,1),(181,1)}
      160:{1,3,5}:{(134,1),(135,1),(177,1),(182,1)}
      161:{1,4,6}:{(135,1),(136,1),(137,1),(181,1),(182,1)}
      162:{1,2,3,5}:{(138,1),(139,1),(179,1),(180,1),(183,1),(204,1),(210,1),(211,1)}
      163:{1,2,4}:{(140,1),(141,1),(184,1),(185,1),(213,1)}
      164:{2,3,5}:{(140,1),(142,1),(148,1),(185,1),(186,1)}
      165:{1,3,4}:{(141,1),(151,1),(184,1),(187,1),(213,1)}
      166:{1,4,5}:{(141,1),(142,1),(143,1),(185,1),(187,1),(188,1),(213,1),(226,1)}
      167:{3,4,6}:{(142,1),(144,1),(153,1),(186,1),(188,1),(196,1)}
      168:{1,5,6}:{(143,1),(144,1),(188,1),(226,1)}
      169:{1,2,4,6}:{(145,1),(146,1),(147,1),(149,1),(189,1),(190,1),(200,1),(215,1),(220,1),(227,1)}
      170:{2,5}:{(146,1),(150,1)}
      171:{2,3}:{(147,1),(151,1)}
      172:{1,2,4,5}:{(147,1),(148,1),(152,1),(185,1),(190,1),(192,1),(193,1),(213,1),(215,1),(226,1),(228,1)}
      173:{2,4,6}:{(148,1),(153,1),(186,1),(191,1)}
      174:{3,4,6}:{(149,1),(151,1),(155,1),(189,1),(194,1),(196,1),(197,1),(215,1)}
      175:{1,4,5}:{(149,1),(150,1),(158,1),(190,1),(194,1),(215,1),(226,1),(228,1)}
      176:{4,5,6}:{(150,1),(153,1),(159,1),(191,1)}
      177:{3,5}:{(151,1),(152,1),(196,1)}
      178:{1,4,6}:{(152,1),(153,1),(154,1),(196,1)}
      179:{3,5}:{(155,1),(156,1),(197,1)}
      180:{1,3,5}:{(157,1),(158,1),(194,1),(198,1)}
      181:{1,5,6}:{(158,1),(159,1),(161,1)}
      182:{1,3,6}:{(160,1),(161,1),(196,1)}
      183:{1,4}:{(162,1),(197,1),(215,1)}
      184:{1,2,3}:{(163,1),(165,1),(171,1)}
      185:{1,2,5}:{(163,1),(164,1),(166,1),(202,1)}
      186:{2,3,6}:{(164,1),(167,1),(173,1),(202,1)}
      187:{1,3,5}:{(165,1),(166,1),(177,1),(203,1)}
      188:{1,4,6}:{(166,1),(167,1),(168,1),(202,1),(203,1)}
      189:{2,3,6}:{(169,1),(171,1),(174,1),(204,1),(210,1)}
      190:{1,2,5}:{(169,1),(170,1),(175,1),(204,1),(229,1)}
      191:{2,5,6}:{(170,1),(173,1),(176,1)}
      192:{2,3,5}:{(171,1),(172,1),(177,1),(206,1),(207,1),(224,1)}
      193:{1,2,4,6}:{(172,1),(173,1),(178,1),(202,1),(205,1),(207,1),(221,1),(223,1)}
      194:{3,5}:{(174,1),(175,1)}
      195:{1,4,5,6}:{(175,1),(176,1),(178,1),(181,1),(205,1),(209,1),(212,1),(223,1)}
      196:{3,6}:{(177,1),(178,1)}
      197:{3,4}:{(179,1),(183,1),(210,1)}
      198:{1,4,5}:{(180,1),(183,1),(208,1),(211,1),(212,1)}
      199:{1,3,5,6}:{(180,1),(181,1),(182,1),(209,1),(212,1)}
      200:{1,2,4}:{(183,1),(210,1),(211,1),(222,1)}
      201:{1,2,3,5}:{(184,1),(185,1),(187,1),(192,1),(213,1),(214,1),(226,1)}
      202:{1,2,6}:{(185,1),(186,1),(188,1)}
      203:{1,3,6}:{(187,1),(188,1),(196,1)}
      204:{2,3,5}:{(189,1),(190,1),(194,1),(215,1)}
      205:{1,2,5,6}:{(190,1),(191,1),(193,1),(195,1),(216,1),(220,1),(226,1)}
      206:{3,4}:{(192,1),(213,1),(215,1)}
      207:{2,3,6}:{(192,1),(193,1),(196,1),(217,1)}
      208:{3,4,5}:{(194,1),(197,1),(198,1),(215,1),(218,1),(219,1),(228,1)}
      209:{3,5,6}:{(194,1),(195,1),(196,1),(219,1)}
      210:{2,3}:{(197,1),(200,1)}
      211:{1,2,5}:{(198,1),(200,1),(218,1),(220,1)}
      212:{1,4,6}:{(198,1),(199,1),(219,1),(220,1)}
      213:{1,4}:{(201,1),(206,1)}
      214:{1,2,3,6}:{(201,1),(202,1),(203,1),(207,1),(221,1)}
      215:{4}:{(204,1)}
      216:{2,3,5,6}:{(204,1),(205,1),(207,1),(209,1),(223,1),(224,1),(225,1),(229,1)}
      217:{3,4,6}:{(206,1),(207,1),(221,1),(223,1),(224,1)}
      218:{2,3,5}:{(208,1),(210,1),(211,1),(222,1),(225,1),(229,1)}
      219:{3,4,6}:{(208,1),(209,1),(212,1),(223,1),(225,1)}
      220:{1,2,6}:{(211,1),(212,1),(225,1)}
      221:{1,4,6}:{(213,1),(214,1),(217,1),(226,1)}
      222:{2,4}:{(215,1),(218,1)}
      223:{4,6}:{(215,1),(216,1),(228,1)}
      224:{3,5}:{(217,1),(226,1),(228,1)}
      225:{2,3,6}:{(218,1),(219,1),(220,1),(227,1)}
      226:{1,5}:{(221,1),(224,1)}
      227:{2,4,6}:{(222,1),(223,1),(225,1),(229,1)}
      228:{4,5}:{(223,1),(224,1),(229,1)}
      229:{2,5}:{(227,1),(228,1)}

332 :  0:{1,3,4}:{(2,1),(3,1),(20,1),(75,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(32,1),(53,1),(56,1),(70,1),(71,1)}
       2:{1,3,5}:{(0,1),(8,1),(9,1),(70,1)}
       3:{1,2,3}:{(0,1),(11,1),(79,1)}
       4:{2,3,4}:{(11,1),(12,1),(32,1)}
       5:{4,5,6}:{(13,1),(14,1),(39,1),(65,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(39,1),(62,1)}
       7:{2,3,5}:{(1,1),(15,1),(17,1),(18,1),(41,1),(42,1)}
       8:{1,4,5}:{(1,1),(2,1),(16,1),(17,1),(20,1),(44,1)}
       9:{1,3,6}:{(2,1),(16,1),(62,1)}
      10:{1,2,3,5}:{(2,1),(3,1),(17,1),(19,1),(20,1),(22,1),(42,1),(44,1),(46,1),(64,1)}
      11:{1,2,4}:{(3,1),(4,1),(20,1),(22,1),(76,1)}
      12:{2,3,5}:{(4,1),(21,1),(22,1),(23,1),(46,1)}
      13:{2,5,6}:{(5,1),(25,1),(72,1)}
      14:{3,5,6}:{(5,1),(6,1),(27,1),(56,1)}
      15:{2,3,6}:{(6,1),(7,1),(28,1),(29,1)}
      16:{1,4,6}:{(6,1),(8,1),(9,1),(27,1),(28,1)}
      17:{1,2,5}:{(7,1),(8,1),(28,1),(30,1)}
      18:{2,4}:{(7,1),(71,1)}
      19:{1,2,3,6}:{(9,1),(10,1),(28,1),(31,1),(35,1),(54,1),(58,1)}
      20:{1,4}:{(10,1),(32,1),(71,1)}
      21:{4,5}:{(12,1),(34,1)}
      22:{1,2,5}:{(11,1),(12,1),(33,1),(35,1),(72,1)}
      23:{2,3,6}:{(12,1),(34,1),(35,1),(58,1)}
      24:{2,4,5}:{(25,1),(36,1),(53,1)}
      25:{2,4,6}:{(13,1),(24,1),(37,1),(39,1),(76,1)}
      26:{2,3,5,6}:{(13,1),(14,1),(15,1),(37,1),(38,1),(39,1),(41,1),(61,1),(62,1),(64,1)}
      27:{1,5,6}:{(14,1),(16,1),(44,1)}
      28:{1,2,6}:{(15,1),(16,1),(17,1)}
      29:{2,4,6}:{(15,1),(18,1),(39,1),(41,1)}
      30:{1,2,4}:{(17,1),(18,1),(20,1),(42,1)}
      31:{1,4,6}:{(19,1),(20,1),(43,1),(44,1)}
      32:{3,4}:{(20,1),(42,1),(46,1)}
      33:{1,4,5}:{(20,1),(21,1),(22,1),(44,1),(46,1),(47,1),(65,1)}
      34:{4,6}:{(21,1),(23,1),(45,1)}
      35:{1,2,6}:{(22,1),(23,1),(47,1),(77,1)}
      36:{2,3,5}:{(24,1),(37,1),(48,1),(49,1),(61,1)}
      37:{2,3,6}:{(25,1),(36,1),(50,1),(51,1),(79,1)}
      38:{1,2,5,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(55,1),(69,1)}
      39:{4,6}:{(26,1),(53,1),(71,1)}
      40:{1,2,4,6}:{(28,1),(29,1),(30,1),(31,1),(52,1),(54,1),(55,1),(71,1)}
      41:{2,5}:{(29,1),(53,1)}
      42:{2,3}:{(30,1),(32,1)}
      43:{3,4,6}:{(31,1),(32,1),(54,1),(56,1),(58,1),(71,1),(73,1)}
      44:{1,5}:{(31,1),(56,1)}
      45:{5,6}:{(34,1)}
      46:{3,5}:{(32,1),(33,1),(58,1)}
      47:{1,4,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(73,1)}
      48:{1,2,5}:{(36,1),(50,1),(59,1),(69,1)}
      49:{3,4}:{(36,1),(59,1)}
      50:{1,2,6}:{(37,1),(48,1),(60,1),(80,1)}
      51:{3,4,6}:{(37,1),(39,1),(49,1),(60,1),(61,1),(62,1),(75,1)}
      52:{1,4,6}:{(38,1),(39,1),(62,1),(63,1)}
      53:{4,5}:{(39,1),(41,1),(61,1)}
      54:{2,3,6}:{(40,1),(42,1),(43,1),(62,1),(64,1),(77,1)}
      55:{1,2,5}:{(40,1),(41,1),(44,1),(63,1),(64,1),(80,1)}
      56:{3,5}:{(43,1),(44,1),(65,1)}
      57:{1,5,6}:{(44,1),(45,1),(47,1),(66,1)}
      58:{3,6}:{(46,1),(47,1)}
      59:{1,4}:{(48,1),(49,1),(67,1)}
      60:{1,4,6}:{(50,1),(51,1),(59,1),(68,1),(69,1),(78,1)}
      61:{3,5}:{(51,1),(53,1),(69,1)}
      62:{3,6}:{(52,1),(70,1)}
      63:{1,4,5}:{(52,1),(53,1),(55,1),(69,1),(70,1),(71,1),(78,1)}
      64:{2,3,5}:{(54,1),(55,1),(56,1),(70,1),(71,1),(72,1),(79,1)}
      65:{4,5}:{(56,1),(71,1),(72,1),(73,1)}
      66:{3,5,6}:{(56,1),(57,1),(58,1),(73,1)}
      67:{1,3}:{(59,1)}
      68:{1,3,6}:{(60,1),(62,1),(67,1),(74,1)}
      69:{1,5}:{(60,1),(61,1)}
      70:{3,5}:{(62,1),(63,1),(75,1)}
      71:{4}:{(64,1)}
      72:{2,5}:{(65,1),(76,1),(77,1)}
      73:{4,6}:{(65,1),(66,1),(77,1)}
      74:{1,3,5}:{(68,1),(69,1),(70,1),(78,1)}
      75:{3,4}:{(70,1),(71,1),(78,1),(79,1)}
      76:{2,4}:{(71,1),(72,1),(79,1)}
      77:{2,6}:{(72,1),(73,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{2,3}:{(75,1),(76,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

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

334 :   0:{2,3,4,6}:{(1,1),(2,1),(12,1),(35,1),(37,1),(40,1),(43,1),(75,1),(80,1),(118,1),(125,1)}
        1:{1,2,4,6}:{(0,1),(4,1),(5,1),(19,1),(20,1),(61,1),(63,1),(104,1)}
        2:{2,3,5}:{(0,1),(5,1),(7,1),(22,1),(105,1),(143,1)}
        3:{1,3,4,6}:{(4,1),(8,1),(19,1),(27,1),(54,1),(104,1),(106,1),(157,1)}
        4:{1,2,3,6}:{(1,1),(3,1),(9,1),(37,1),(45,1),(75,1),(85,1)}
        5:{1,2,5}:{(1,1),(2,1),(11,1),(131,1)}
        6:{2,3,5,6}:{(2,1),(10,1),(12,1),(31,1),(32,1),(37,1),(40,1)}
        7:{4,5}:{(2,1),(12,1),(125,1)}
        8:{1,3,5}:{(3,1),(16,1),(74,1),(131,1)}
        9:{1,2,3,5}:{(4,1),(5,1),(8,1),(19,1),(22,1),(28,1),(55,1),(98,1)}
       10:{1,2,5,6}:{(5,1),(6,1),(20,1),(51,1),(61,1)}
       11:{1,4,5}:{(5,1),(7,1),(19,1),(20,1),(22,1)}
       12:{4,6}:{(6,1),(7,1)}
       13:{2,4,5}:{(7,1),(23,1),(25,1),(96,1),(141,1),(143,1)}
       14:{3,4,5}:{(7,1),(22,1),(24,1),(25,1),(26,1),(60,1),(96,1),(105,1),(147,1)}
       15:{1,3,5,6}:{(8,1),(27,1),(65,1),(156,1),(157,1)}
       16:{1,4,5}:{(8,1),(19,1),(27,1),(28,1),(29,1)}
       17:{4,5,6}:{(12,1),(31,1),(32,1),(72,1),(120,1)}
       18:{1,2,3,5,6}:{(9,1),(10,1),(15,1),(33,1),(37,1),(45,1),(69,1),(70,1),(73,1),(74,1),(75,1),(79,1),(87,1),(117,1),(124,1),(131,1),(136,1),(176,1),(180,1),(211,1)}
       19:{1,4}:{(9,1),(35,1),(125,1)}
       20:{1,4,6}:{(10,1),(11,1),(12,1),(37,1)}
       21:{1,2,4,5}:{(11,1),(13,1),(34,1),(36,1),(38,1),(42,1),(73,1),(81,1),(89,1),(120,1),(122,1),(125,1),(128,1),(131,1),(163,1),(166,1),(174,1),(179,1),(205,1)}
       22:{3,5}:{(11,1),(35,1),(37,1)}
       23:{2,4,6}:{(12,1),(13,1),(31,1),(40,1),(72,1)}
       24:{3,4,6}:{(12,1),(14,1),(32,1),(37,1),(40,1),(41,1),(72,1),(121,1)}
       25:{2,3,5}:{(13,1),(14,1),(40,1),(42,1),(43,1)}
       26:{1,4,5}:{(14,1),(39,1),(41,1),(42,1),(81,1),(131,1)}
       27:{1,4,6}:{(15,1),(16,1),(45,1),(46,1)}
       28:{1,2,5}:{(16,1),(34,1),(45,1),(47,1)}
       29:{3,4,5}:{(16,1),(35,1),(46,1),(47,1),(74,1),(125,1),(138,1)}
       30:{1,4,5,6}:{(17,1),(20,1),(48,1),(49,1),(51,1),(52,1),(92,1),(94,1),(95,1),(145,1),(161,1),(196,1),(199,1)}
       31:{2,5,6}:{(17,1),(23,1),(143,1)}
       32:{3,5,6}:{(17,1),(24,1),(51,1),(105,1)}
       33:{1,4,6}:{(18,1),(19,1),(52,1),(54,1),(94,1),(112,1),(150,1)}
       34:{1,2,4}:{(19,1),(28,1),(55,1),(67,1)}
       35:{3,4}:{(19,1),(22,1),(55,1)}
       36:{1,2,4,6}:{(20,1),(21,1),(23,1),(48,1),(57,1),(61,1),(94,1),(95,1),(104,1),(114,1),(154,1),(196,1)}
       37:{3,6}:{(20,1),(22,1)}
       38:{2,3,5}:{(21,1),(22,1),(55,1),(57,1),(60,1),(105,1),(147,1),(184,1),(191,1),(195,1)}
       39:{1,3,5}:{(22,1),(26,1),(56,1),(58,1),(147,1)}
       40:{2,3,6}:{(23,1),(24,1),(25,1),(61,1)}
       41:{1,4,6}:{(24,1),(26,1),(51,1),(58,1),(61,1)}
       42:{1,2,5}:{(25,1),(26,1),(61,1),(63,1)}
       43:{2,3,4}:{(25,1),(60,1),(63,1),(141,1),(184,1)}
       44:{1,4,5,6}:{(27,1),(52,1),(64,1),(65,1),(112,1),(146,1),(156,1),(196,1)}
       45:{1,2,6}:{(27,1),(28,1),(66,1)}
       46:{3,4,6}:{(27,1),(29,1),(65,1),(66,1),(112,1)}
       47:{2,3,5}:{(28,1),(29,1),(55,1),(66,1),(67,1),(113,1)}
       48:{1,2,5,6}:{(30,1),(31,1),(36,1),(69,1),(73,1),(117,1),(131,1),(139,1),(166,1)}
       49:{3,5,6}:{(30,1),(37,1),(68,1),(74,1),(121,1),(168,1),(211,1)}
       50:{2,3,5,6}:{(31,1),(32,1),(40,1),(71,1),(72,1),(84,1),(121,1)}
       51:{1,5,6}:{(32,1),(41,1),(131,1)}
       52:{1,4,5}:{(33,1),(73,1),(74,1),(120,1),(125,1),(131,1),(138,1),(180,1)}
       53:{1,2,4,6}:{(33,1),(34,1),(45,1),(73,1),(75,1),(88,1),(117,1),(118,1),(125,1),(163,1)}
       54:{3,4,6}:{(33,1),(35,1),(37,1),(74,1),(75,1),(125,1),(173,1),(211,1)}
       55:{2,3}:{(34,1),(35,1)}
       56:{1,3,4}:{(35,1),(39,1),(77,1),(81,1),(170,1)}
       57:{2,3,6}:{(36,1),(37,1),(38,1),(80,1),(121,1),(211,1)}
       58:{1,3,6}:{(37,1),(39,1),(41,1),(121,1)}
       59:{1,2,3,5}:{(38,1),(39,1),(42,1),(77,1),(79,1),(81,1),(85,1),(128,1),(131,1),(133,1)}
       60:{3,4}:{(38,1),(81,1),(125,1),(205,1)}
       61:{1,2,6}:{(40,1),(41,1),(42,1)}
       62:{2,3,4,6}:{(40,1),(43,1),(72,1),(80,1),(83,1),(84,1),(118,1),(121,1),(165,1),(170,1),(205,1)}
       63:{1,2,4}:{(42,1),(43,1),(81,1),(85,1)}
       64:{1,2,5,6}:{(44,1),(45,1),(73,1),(86,1),(87,1),(167,1),(180,1)}
       65:{3,5,6}:{(44,1),(46,1),(74,1),(211,1)}
       66:{2,3,6}:{(45,1),(46,1),(47,1),(88,1)}
       67:{2,4}:{(47,1),(125,1)}
       68:{3,4,6}:{(49,1),(90,1),(91,1),(92,1),(94,1)}
       69:{2,3,5,6}:{(48,1),(49,1),(57,1),(91,1),(94,1),(98,1),(105,1),(143,1),(187,1)}
       70:{1,3,5,6}:{(49,1),(51,1),(58,1),(92,1),(99,1),(199,1),(220,1)}
       71:{1,2,5,6}:{(50,1),(51,1),(61,1),(95,1),(110,1)}
       72:{4,6}:{(50,1),(96,1)}
       73:{1,2,5}:{(52,1),(53,1),(98,1),(113,1),(143,1)}
       74:{3,5}:{(52,1),(54,1)}
       75:{2,3,6}:{(53,1),(54,1),(55,1),(98,1),(184,1)}
       76:{1,3,4,6}:{(54,1),(56,1),(58,1),(92,1),(99,1),(100,1),(104,1),(144,1),(150,1),(159,1),(192,1),(220,1),(226,1)}
       77:{1,2,3}:{(55,1),(56,1),(102,1),(191,1)}
       78:{2,3,4}:{(55,1),(60,1),(67,1),(102,1),(103,1),(191,1),(217,1)}
       79:{1,2,3,6}:{(57,1),(58,1),(59,1),(61,1),(104,1),(154,1),(157,1)}
       80:{3,4,6}:{(57,1),(60,1),(94,1),(104,1),(105,1)}
       81:{1,4}:{(59,1),(60,1)}
       82:{3,4,5}:{(60,1),(103,1),(105,1),(107,1),(108,1),(151,1),(195,1)}
       83:{1,2,4,6}:{(61,1),(62,1),(63,1),(95,1),(104,1),(109,1),(110,1),(158,1)}
       84:{2,3,5}:{(62,1),(96,1),(105,1),(110,1),(143,1),(147,1)}
       85:{1,2,3}:{(63,1),(106,1),(184,1)}
       86:{1,2,4,6}:{(64,1),(97,1),(111,1),(112,1),(159,1),(186,1),(196,1),(214,1)}
       87:{2,3,5,6}:{(64,1),(65,1),(66,1),(98,1),(111,1),(112,1),(113,1),(160,1)}
       88:{2,4,6}:{(66,1),(67,1),(112,1),(113,1)}
       89:{2,4,5}:{(67,1),(103,1),(113,1),(114,1),(151,1),(217,1),(228,1)}
       90:{3,4,5}:{(68,1),(74,1),(115,1),(116,1),(120,1),(125,1),(168,1),(173,1),(205,1)}
       91:{2,3,6}:{(68,1),(115,1),(117,1),(118,1)}
       92:{1,4,6}:{(68,1),(70,1),(116,1),(117,1)}
       93:{1,2,3,5,6}:{(69,1),(70,1),(71,1),(79,1),(117,1),(119,1),(121,1),(124,1),(131,1),(135,1),(165,1),(166,1),(168,1),(176,1),(178,1),(206,1),(211,1),(212,1),(222,1),(229,1)}
       94:{4,6}:{(69,1),(120,1),(125,1),(205,1)}
       95:{1,4,6}:{(71,1),(72,1),(121,1),(122,1)}
       96:{4,5}:{(72,1),(84,1),(205,1)}
       97:{1,2,4,5}:{(73,1),(86,1),(123,1),(125,1),(138,1),(163,1),(164,1),(171,1),(174,1),(180,1),(201,1)}
       98:{2,3,5}:{(73,1),(74,1),(75,1),(125,1)}
       99:{1,3,5}:{(74,1),(76,1),(116,1),(131,1),(168,1),(180,1),(229,1)}
      100:{1,2,3,6}:{(75,1),(76,1),(77,1),(117,1),(124,1),(126,1),(165,1),(200,1),(211,1)}
      101:{2,3,4,6}:{(75,1),(78,1),(80,1),(88,1),(118,1),(125,1),(126,1),(127,1),(129,1),(137,1),(162,1),(165,1),(173,1),(175,1),(202,1),(205,1),(211,1),(223,1),(224,1)}
      102:{1,2,4}:{(77,1),(78,1),(81,1),(128,1)}
      103:{2,3,5}:{(78,1),(82,1),(89,1),(128,1),(129,1)}
      104:{1,4,6}:{(79,1),(80,1),(81,1),(131,1)}
      105:{3,5}:{(80,1),(120,1),(131,1)}
      106:{1,3,4}:{(81,1),(85,1),(133,1),(173,1)}
      107:{1,4,5}:{(81,1),(82,1),(128,1),(131,1),(133,1),(134,1)}
      108:{3,4,6}:{(82,1),(129,1),(132,1),(134,1),(175,1),(211,1)}
      109:{1,2,3,6}:{(83,1),(85,1),(121,1),(130,1),(135,1),(165,1),(212,1)}
      110:{1,2,5}:{(83,1),(84,1),(122,1),(131,1)}
      111:{2,3,6}:{(86,1),(123,1),(137,1),(211,1)}
      112:{4,6}:{(87,1),(125,1),(138,1)}
      113:{2,5}:{(88,1),(138,1)}
      114:{2,4,6}:{(89,1),(129,1),(139,1),(175,1)}
      115:{2,3,5}:{(90,1),(91,1),(140,1),(141,1),(143,1),(184,1)}
      116:{1,4,5}:{(90,1),(92,1),(99,1),(140,1),(150,1)}
      117:{1,2,6}:{(91,1),(92,1),(140,1)}
      118:{2,4,6}:{(91,1),(94,1),(141,1),(143,1)}
      119:{1,4,6}:{(93,1),(94,1),(144,1),(145,1),(150,1),(158,1),(218,1)}
      120:{4,5}:{(94,1),(105,1),(143,1)}
      121:{3,6}:{(95,1),(147,1)}
      122:{1,4,5}:{(95,1),(96,1),(110,1),(147,1),(158,1)}
      123:{2,3,5}:{(97,1),(111,1),(149,1),(160,1),(184,1),(195,1)}
      124:{1,2,3,5}:{(98,1),(99,1),(100,1),(140,1),(150,1),(152,1),(184,1),(187,1),(195,1)}
      125:{4}:{(98,1)}
      126:{1,2,4,6}:{(100,1),(101,1),(102,1),(104,1),(150,1),(152,1),(154,1),(159,1),(182,1),(196,1),(214,1),(226,1)}
      127:{2,3,5}:{(101,1),(105,1),(113,1),(143,1),(151,1),(152,1),(160,1),(195,1),(227,1),(228,1)}
      128:{1,2,5}:{(102,1),(103,1),(107,1),(154,1)}
      129:{2,3,6}:{(103,1),(108,1),(114,1),(154,1)}
      130:{1,3,4,6}:{(104,1),(106,1),(109,1),(144,1),(155,1),(157,1),(158,1),(198,1)}
      131:{1,5}:{(104,1),(105,1)}
      132:{3,5,6}:{(105,1),(108,1),(146,1),(156,1)}
      133:{1,3,5}:{(106,1),(107,1),(157,1),(195,1)}
      134:{1,4,6}:{(107,1),(108,1),(154,1),(156,1),(157,1)}
      135:{1,2,3,5}:{(109,1),(110,1),(147,1),(155,1),(158,1),(187,1),(191,1),(197,1)}
      136:{1,2,3,6}:{(111,1),(148,1),(159,1),(214,1),(220,1)}
      137:{3,4,6}:{(111,1),(112,1),(149,1),(159,1),(160,1)}
      138:{4,5}:{(112,1),(113,1),(160,1)}
      139:{2,5,6}:{(113,1),(114,1),(161,1),(228,1)}
      140:{1,2,5}:{(115,1),(116,1),(117,1),(163,1)}
      141:{2,4}:{(115,1),(125,1),(205,1)}
      142:{1,2,4,6}:{(117,1),(118,1),(119,1),(163,1),(165,1),(166,1),(179,1),(205,1),(212,1),(224,1)}
      143:{2,5}:{(118,1),(120,1)}
      144:{3,4,6}:{(119,1),(121,1),(165,1),(168,1),(170,1),(173,1),(205,1),(211,1)}
      145:{1,4,5}:{(119,1),(120,1),(131,1),(166,1),(168,1),(205,1),(225,1),(229,1)}
      146:{4,5,6}:{(120,1),(132,1),(167,1),(175,1)}
      147:{3,5}:{(121,1),(122,1),(170,1)}
      148:{1,2,3,5}:{(123,1),(136,1),(171,1),(180,1),(200,1),(201,1),(209,1)}
      149:{3,4}:{(123,1),(125,1),(171,1)}
      150:{1,4}:{(124,1),(125,1),(173,1),(205,1)}
      151:{4,5}:{(125,1),(127,1),(175,1),(205,1)}
      152:{1,2,5}:{(126,1),(127,1),(131,1),(174,1),(180,1),(229,1)}
      153:{2,3,5,6}:{(127,1),(129,1),(132,1),(139,1),(167,1),(175,1),(176,1),(181,1),(202,1),(211,1)}
      154:{1,2,6}:{(128,1),(129,1),(134,1)}
      155:{1,3,5}:{(130,1),(131,1),(168,1),(177,1)}
      156:{1,5,6}:{(131,1),(132,1),(134,1)}
      157:{1,3,6}:{(133,1),(134,1),(211,1)}
      158:{1,4}:{(135,1),(170,1),(205,1)}
      159:{1,4,6}:{(136,1),(137,1),(171,1),(180,1)}
      160:{3,5}:{(137,1),(138,1),(180,1)}
      161:{4,5,6}:{(138,1),(139,1),(175,1),(181,1),(225,1)}
      162:{2,3,4}:{(141,1),(149,1),(182,1),(183,1),(184,1),(215,1)}
      163:{1,2,4}:{(140,1),(141,1),(150,1),(184,1)}
      164:{2,4,5}:{(141,1),(143,1),(151,1),(183,1),(186,1)}
      165:{2,3,6}:{(142,1),(144,1),(184,1),(187,1),(191,1)}
      166:{1,2,5}:{(142,1),(143,1),(145,1),(187,1),(228,1)}
      167:{2,5,6}:{(143,1),(146,1),(186,1)}
      168:{3,5}:{(144,1),(145,1)}
      169:{1,4,5,6}:{(145,1),(146,1),(156,1),(188,1),(190,1),(196,1),(198,1),(218,1)}
      170:{3,4}:{(147,1),(158,1),(191,1)}
      171:{1,4}:{(148,1),(149,1)}
      172:{3,4,5}:{(149,1),(151,1),(160,1),(183,1),(193,1),(194,1),(195,1),(215,1),(227,1)}
      173:{3,4}:{(150,1),(184,1),(195,1)}
      174:{1,4,5}:{(150,1),(151,1),(152,1),(195,1),(196,1)}
      175:{4,6}:{(151,1),(153,1)}
      176:{1,2,5,6}:{(152,1),(153,1),(154,1),(156,1),(196,1),(199,1),(214,1)}
      177:{1,4,5}:{(155,1),(158,1),(189,1),(197,1),(198,1)}
      178:{1,3,5,6}:{(155,1),(156,1),(157,1),(190,1),(198,1)}
      179:{1,2,4}:{(158,1),(191,1),(197,1),(217,1)}
      180:{1,5}:{(159,1),(160,1)}
      181:{3,5,6}:{(160,1),(161,1),(194,1),(199,1),(227,1)}
      182:{1,2,4}:{(162,1),(171,1),(200,1),(201,1),(221,1)}
      183:{2,3,5}:{(162,1),(164,1),(172,1),(201,1),(202,1)}
      184:{2,3}:{(163,1),(173,1)}
      185:{1,2,4,5}:{(163,1),(164,1),(166,1),(174,1),(201,1),(203,1),(204,1),(205,1),(221,1),(225,1),(229,1)}
      186:{2,4,6}:{(164,1),(167,1),(175,1),(202,1)}
      187:{2,3,5}:{(165,1),(166,1),(168,1),(205,1)}
      188:{1,2,5,6}:{(166,1),(167,1),(169,1),(204,1),(206,1),(212,1),(229,1)}
      189:{3,4,5}:{(168,1),(170,1),(177,1),(205,1),(207,1),(208,1),(225,1)}
      190:{3,5,6}:{(168,1),(169,1),(208,1),(211,1)}
      191:{2,3}:{(170,1),(179,1)}
      192:{1,3,4}:{(171,1),(173,1),(200,1),(209,1),(221,1)}
      193:{1,4,5}:{(171,1),(172,1),(180,1),(201,1),(209,1),(210,1),(221,1),(229,1)}
      194:{3,4,6}:{(172,1),(175,1),(181,1),(202,1),(210,1),(211,1)}
      195:{3,5}:{(173,1),(174,1),(211,1)}
      196:{1,4,6}:{(174,1),(175,1),(176,1),(211,1)}
      197:{1,2,5}:{(177,1),(179,1),(207,1),(212,1)}
      198:{1,4,6}:{(177,1),(178,1),(208,1),(212,1)}
      199:{1,5,6}:{(180,1),(181,1),(210,1),(229,1)}
      200:{1,2,3}:{(182,1),(184,1),(192,1)}
      201:{1,2,5}:{(182,1),(183,1),(193,1),(214,1)}
      202:{2,3,6}:{(183,1),(186,1),(194,1),(214,1)}
      203:{2,3,5}:{(184,1),(185,1),(195,1),(215,1),(216,1),(227,1)}
      204:{1,2,4,6}:{(185,1),(186,1),(188,1),(196,1),(214,1),(216,1),(218,1),(226,1)}
      205:{4}:{(187,1)}
      206:{2,3,5,6}:{(187,1),(188,1),(190,1),(216,1),(218,1),(219,1),(227,1),(228,1)}
      207:{2,3,5}:{(189,1),(191,1),(197,1),(217,1),(219,1),(228,1)}
      208:{3,4,6}:{(189,1),(190,1),(198,1),(218,1),(219,1)}
      209:{1,3,5}:{(192,1),(193,1),(195,1),(220,1)}
      210:{1,4,6}:{(193,1),(194,1),(199,1),(214,1),(220,1)}
      211:{3,6}:{(195,1),(196,1)}
      212:{1,2,6}:{(197,1),(198,1),(219,1)}
      213:{1,2,3,5}:{(200,1),(201,1),(203,1),(209,1),(221,1),(222,1),(229,1)}
      214:{1,2,6}:{(201,1),(202,1),(210,1)}
      215:{3,4}:{(203,1),(205,1),(221,1)}
      216:{2,3,6}:{(203,1),(204,1),(211,1),(223,1)}
      217:{2,4}:{(205,1),(207,1)}
      218:{4,6}:{(205,1),(206,1),(225,1)}
      219:{2,3,6}:{(207,1),(208,1),(212,1),(224,1)}
      220:{1,3,6}:{(209,1),(210,1),(211,1)}
      221:{1,4}:{(213,1),(215,1)}
      222:{1,2,3,6}:{(213,1),(214,1),(216,1),(220,1),(226,1)}
      223:{3,4,6}:{(215,1),(216,1),(218,1),(226,1),(227,1)}
      224:{2,4,6}:{(217,1),(218,1),(219,1),(228,1)}
      225:{4,5}:{(218,1),(227,1),(228,1)}
      226:{1,4,6}:{(221,1),(222,1),(223,1),(229,1)}
      227:{3,5}:{(223,1),(225,1),(229,1)}
      228:{2,5}:{(224,1),(225,1)}
      229:{1,5}:{(226,1),(227,1)}

335 :  0:{2,3,4}:{(1,1),(2,1),(29,1)}
       1:{1,2,4}:{(0,1),(5,1),(6,1),(21,1),(71,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1),(19,1)}
       3:{1,3,4}:{(5,1),(8,1),(21,1),(72,1)}
       4:{4,5}:{(2,1),(11,1)}
       5:{1,2,3}:{(1,1),(3,1),(76,1)}
       6:{1,2,5}:{(1,1),(2,1),(10,1),(13,1),(64,1)}
       7:{2,3,6}:{(2,1),(11,1),(13,1),(30,1)}
       8:{1,3,5}:{(3,1),(14,1),(15,1),(66,1)}
       9:{3,4,5}:{(14,1),(16,1),(17,1),(29,1),(49,1),(52,1),(65,1),(66,1)}
      10:{1,4,5}:{(4,1),(6,1),(19,1),(20,1),(21,1),(42,1),(56,1)}
      11:{4,6}:{(4,1),(7,1),(18,1)}
      12:{1,2,3,5}:{(5,1),(6,1),(8,1),(19,1),(21,1),(22,1),(23,1),(39,1),(42,1),(57,1)}
      13:{1,2,6}:{(6,1),(7,1),(20,1),(55,1)}
      14:{1,4,5}:{(8,1),(9,1),(21,1),(23,1),(24,1),(42,1)}
      15:{1,3,6}:{(8,1),(24,1),(59,1)}
      16:{2,3,5}:{(9,1),(23,1),(25,1),(26,1),(39,1),(44,1)}
      17:{3,4,6}:{(9,1),(24,1),(26,1),(27,1),(46,1),(59,1)}
      18:{5,6}:{(11,1)}
      19:{3,5}:{(10,1),(29,1),(30,1)}
      20:{1,4,6}:{(10,1),(11,1),(13,1),(28,1),(30,1),(47,1)}
      21:{1,4}:{(12,1),(29,1),(65,1)}
      22:{1,2,3,6}:{(12,1),(13,1),(15,1),(30,1),(32,1),(33,1),(48,1)}
      23:{1,2,5}:{(14,1),(16,1),(31,1),(33,1)}
      24:{1,4,6}:{(14,1),(15,1),(17,1),(33,1),(34,1)}
      25:{2,4}:{(16,1),(65,1)}
      26:{2,3,6}:{(16,1),(17,1),(33,1),(35,1)}
      27:{3,5,6}:{(17,1),(34,1),(36,1),(49,1)}
      28:{1,5,6}:{(18,1),(20,1),(38,1),(42,1)}
      29:{3,4}:{(19,1),(21,1),(39,1)}
      30:{3,6}:{(19,1),(20,1)}
      31:{1,2,4}:{(21,1),(23,1),(25,1),(39,1)}
      32:{1,4,6}:{(21,1),(22,1),(40,1),(42,1)}
      33:{1,2,6}:{(23,1),(24,1),(26,1)}
      34:{1,5,6}:{(24,1),(27,1),(42,1)}
      35:{2,4,6}:{(25,1),(26,1),(44,1),(46,1)}
      36:{4,5,6}:{(27,1),(45,1),(46,1),(56,1)}
      37:{2,3,5,6}:{(26,1),(27,1),(43,1),(44,1),(45,1),(46,1),(57,1),(59,1),(61,1),(62,1)}
      38:{3,5,6}:{(28,1),(30,1),(47,1),(49,1)}
      39:{2,3}:{(29,1),(31,1)}
      40:{3,4,6}:{(29,1),(30,1),(32,1),(47,1),(48,1),(49,1),(65,1)}
      41:{1,2,4,6}:{(31,1),(32,1),(33,1),(35,1),(48,1),(50,1),(51,1),(65,1)}
      42:{1,5}:{(32,1),(49,1)}
      43:{1,2,5,6}:{(33,1),(34,1),(37,1),(50,1),(51,1),(69,1),(70,1)}
      44:{2,5}:{(35,1),(52,1)}
      45:{2,5,6}:{(36,1),(53,1),(64,1)}
      46:{4,6}:{(37,1),(52,1),(65,1)}
      47:{4,6}:{(38,1),(55,1),(56,1)}
      48:{2,3,6}:{(39,1),(40,1),(41,1),(55,1),(57,1),(59,1)}
      49:{3,5}:{(40,1),(42,1),(56,1)}
      50:{1,2,5}:{(41,1),(42,1),(44,1),(57,1),(58,1),(79,1)}
      51:{1,4,6}:{(43,1),(46,1),(58,1),(59,1)}
      52:{4,5}:{(44,1),(46,1),(61,1)}
      53:{2,4,6}:{(45,1),(46,1),(60,1),(62,1),(71,1)}
      54:{3,4,6}:{(46,1),(59,1),(61,1),(62,1),(63,1),(72,1),(74,1)}
      55:{2,6}:{(47,1),(64,1)}
      56:{4,5}:{(47,1),(49,1),(64,1),(65,1)}
      57:{2,3,5}:{(48,1),(49,1),(50,1),(64,1),(65,1),(66,1),(76,1)}
      58:{1,4,5}:{(50,1),(51,1),(52,1),(65,1),(66,1),(69,1),(77,1)}
      59:{3,6}:{(51,1),(66,1)}
      60:{2,4,5}:{(52,1),(53,1),(68,1)}
      61:{3,5}:{(52,1),(54,1),(69,1)}
      62:{2,3,6}:{(53,1),(54,1),(68,1),(70,1),(76,1)}
      63:{1,4,6}:{(54,1),(67,1),(69,1),(70,1),(77,1),(78,1)}
      64:{2,5}:{(55,1),(56,1),(71,1)}
      65:{4}:{(57,1)}
      66:{3,5}:{(58,1),(59,1),(72,1)}
      67:{1,3,6}:{(59,1),(63,1),(73,1),(80,1)}
      68:{2,3,5}:{(60,1),(61,1),(62,1),(74,1),(75,1)}
      69:{1,5}:{(61,1),(63,1)}
      70:{1,2,6}:{(62,1),(63,1),(75,1),(79,1)}
      71:{2,4}:{(64,1),(65,1),(76,1)}
      72:{3,4}:{(65,1),(66,1),(76,1),(77,1)}
      73:{1,3,5}:{(66,1),(67,1),(69,1),(77,1)}
      74:{3,4}:{(68,1),(78,1)}
      75:{1,2,5}:{(68,1),(69,1),(70,1),(78,1)}
      76:{2,3}:{(71,1),(72,1),(79,1)}
      77:{1,4}:{(72,1),(73,1),(79,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{1,2}:{(76,1),(77,1)}
      80:{1,3}:{(78,1)}

336 :   0:{1,2,4,5}:{(2,1),(3,1),(15,1),(30,1),(37,1),(41,1),(44,1),(77,1),(82,1),(128,1),(136,1)}
        1:{1,4,5,6}:{(4,1),(5,1),(19,1),(21,1),(57,1),(90,1),(109,1),(140,1)}
        2:{1,2,4,6}:{(0,1),(4,1),(6,1),(21,1),(25,1),(49,1),(64,1),(109,1)}
        3:{2,3,5}:{(0,1),(6,1),(8,1),(26,1),(108,1),(158,1)}
        4:{1,2,5,6}:{(1,1),(2,1),(10,1),(34,1),(44,1),(68,1),(77,1)}
        5:{3,5,6}:{(1,1),(9,1),(79,1),(135,1)}
        6:{2,3,6}:{(2,1),(3,1),(14,1),(135,1)}
        7:{1,2,3,5}:{(3,1),(13,1),(15,1),(40,1),(41,1),(44,1),(46,1)}
        8:{3,4}:{(3,1),(15,1),(128,1)}
        9:{3,4,6}:{(5,1),(17,1),(18,1),(19,1),(21,1)}
       10:{2,3,5,6}:{(4,1),(5,1),(6,1),(18,1),(21,1),(26,1),(55,1),(102,1)}
       11:{1,3,5,6}:{(5,1),(19,1),(50,1),(140,1),(157,1)}
       12:{2,3,4}:{(8,1),(23,1),(24,1),(92,1),(153,1),(158,1)}
       13:{1,2,3,6}:{(6,1),(7,1),(25,1),(64,1),(67,1)}
       14:{3,4,6}:{(6,1),(8,1),(21,1),(25,1),(26,1)}
       15:{1,4}:{(7,1),(8,1)}
       16:{3,4,5}:{(8,1),(24,1),(26,1),(28,1),(29,1),(59,1),(92,1),(108,1),(143,1)}
       17:{3,4,5}:{(9,1),(32,1),(33,1),(37,1),(79,1),(119,1),(128,1)}
       18:{2,3,6}:{(9,1),(32,1),(34,1),(35,1)}
       19:{1,4,6}:{(9,1),(11,1),(33,1),(34,1)}
       20:{1,2,3,5,6}:{(10,1),(11,1),(13,1),(34,1),(36,1),(44,1),(71,1),(76,1),(77,1),(79,1),(84,1),(85,1),(89,1),(122,1),(129,1),(135,1),(139,1),(168,1),(172,1),(209,1)}
       21:{4,6}:{(10,1),(37,1),(128,1)}
       22:{2,3,4,6}:{(12,1),(14,1),(35,1),(38,1),(39,1),(42,1),(73,1),(76,1),(83,1),(118,1),(125,1),(128,1),(134,1),(135,1),(164,1),(174,1),(175,1),(179,1),(212,1)}
       23:{1,2,4}:{(12,1),(15,1),(40,1),(41,1),(86,1)}
       24:{2,3,5}:{(12,1),(16,1),(30,1),(41,1),(42,1)}
       25:{1,4,6}:{(13,1),(14,1),(15,1),(44,1)}
       26:{3,5}:{(14,1),(37,1),(44,1)}
       27:{1,3,4}:{(15,1),(40,1),(46,1),(86,1),(134,1)}
       28:{1,4,5}:{(15,1),(16,1),(41,1),(44,1),(46,1),(47,1),(86,1),(138,1)}
       29:{3,4,6}:{(16,1),(42,1),(45,1),(47,1),(83,1),(135,1)}
       30:{2,4,5}:{(24,1),(49,1),(59,1),(153,1),(196,1)}
       31:{1,3,4,6}:{(19,1),(50,1),(51,1),(56,1),(94,1),(156,1),(157,1),(193,1)}
       32:{2,3,5}:{(17,1),(18,1),(52,1),(53,1),(55,1),(99,1)}
       33:{1,4,5}:{(17,1),(19,1),(50,1),(52,1),(94,1)}
       34:{1,2,6}:{(18,1),(19,1),(52,1)}
       35:{2,4,6}:{(18,1),(21,1),(53,1),(55,1)}
       36:{1,4,6}:{(20,1),(21,1),(56,1),(57,1),(94,1),(110,1),(154,1)}
       37:{4,5}:{(21,1),(26,1),(55,1)}
       38:{1,2,4,6}:{(22,1),(23,1),(25,1),(60,1),(61,1),(64,1),(97,1),(109,1),(110,1),(112,1),(150,1),(193,1)}
       39:{2,3,5}:{(22,1),(26,1),(55,1),(59,1),(61,1),(108,1),(143,1),(185,1),(195,1),(196,1)}
       40:{1,2,3}:{(23,1),(27,1),(158,1)}
       41:{1,2,5}:{(23,1),(24,1),(28,1),(64,1)}
       42:{2,3,6}:{(24,1),(29,1),(49,1),(64,1)}
       43:{1,3,4,6}:{(25,1),(27,1),(56,1),(60,1),(65,1),(67,1),(110,1),(112,1),(114,1),(144,1),(159,1),(187,1),(193,1)}
       44:{1,5}:{(25,1),(26,1)}
       45:{3,5,6}:{(26,1),(29,1),(58,1),(66,1),(143,1)}
       46:{1,3,5}:{(27,1),(28,1),(67,1),(108,1)}
       47:{1,4,6}:{(28,1),(29,1),(64,1),(66,1),(67,1)}
       48:{1,2,4,5}:{(30,1),(41,1),(69,1),(70,1),(82,1),(86,1),(136,1),(138,1),(165,1),(181,1),(212,1)}
       49:{2,4,6}:{(30,1),(42,1),(68,1),(83,1)}
       50:{1,3,5}:{(31,1),(33,1),(79,1),(209,1)}
       51:{1,2,3,6}:{(31,1),(34,1),(71,1),(72,1),(76,1),(168,1),(177,1)}
       52:{1,2,5}:{(32,1),(33,1),(34,1),(74,1)}
       53:{2,4}:{(32,1),(128,1)}
       54:{1,2,4,6}:{(34,1),(35,1),(36,1),(74,1),(76,1),(77,1),(128,1),(136,1),(139,1),(175,1)}
       55:{2,5}:{(35,1),(37,1)}
       56:{3,4,6}:{(36,1),(76,1),(79,1),(119,1),(128,1),(134,1),(135,1),(168,1)}
       57:{1,4,5}:{(36,1),(37,1),(44,1),(77,1),(79,1),(128,1),(176,1),(209,1)}
       58:{4,5,6}:{(37,1),(45,1),(78,1),(83,1),(165,1)}
       59:{4,5}:{(39,1),(83,1),(128,1),(212,1)}
       60:{1,2,3,6}:{(38,1),(40,1),(43,1),(76,1),(84,1),(123,1),(135,1),(139,1),(179,1)}
       61:{1,2,5}:{(38,1),(39,1),(44,1),(82,1),(138,1),(209,1)}
       62:{2,3,5,6}:{(39,1),(42,1),(45,1),(68,1),(78,1),(83,1),(85,1),(115,1),(125,1),(135,1)}
       63:{1,2,3,5}:{(40,1),(41,1),(46,1),(69,1),(86,1),(87,1),(138,1)}
       64:{1,2,6}:{(41,1),(42,1),(47,1)}
       65:{1,3,5}:{(43,1),(44,1),(79,1),(88,1),(138,1),(180,1),(209,1)}
       66:{1,5,6}:{(44,1),(45,1),(47,1),(138,1)}
       67:{1,3,6}:{(46,1),(47,1),(135,1)}
       68:{2,5,6}:{(49,1),(90,1),(196,1)}
       69:{2,3,5}:{(48,1),(92,1),(93,1),(108,1),(143,1),(158,1)}
       70:{1,2,4,6}:{(48,1),(49,1),(64,1),(91,1),(93,1),(109,1),(112,1),(142,1)}
       71:{1,2,3,5}:{(50,1),(51,1),(52,1),(94,1),(96,1),(99,1),(102,1),(145,1)}
       72:{1,2,4,6}:{(51,1),(94,1),(95,1),(96,1),(146,1),(192,1),(193,1),(215,1)}
       73:{2,3,4}:{(53,1),(97,1),(98,1),(99,1),(151,1),(214,1),(226,1)}
       74:{1,2,4}:{(52,1),(53,1),(94,1),(99,1)}
       75:{2,4,5}:{(53,1),(55,1),(59,1),(98,1),(101,1),(185,1),(214,1)}
       76:{2,3,6}:{(54,1),(56,1),(99,1),(102,1),(158,1)}
       77:{1,2,5}:{(54,1),(55,1),(57,1),(102,1),(196,1)}
       78:{2,5,6}:{(55,1),(58,1),(101,1),(185,1)}
       79:{3,5}:{(56,1),(57,1)}
       80:{1,4,5,6}:{(57,1),(58,1),(66,1),(103,1),(105,1),(109,1),(114,1),(146,1),(154,1),(161,1),(191,1),(216,1),(227,1)}
       81:{3,4,5}:{(59,1),(98,1),(106,1),(107,1),(108,1),(151,1),(195,1)}
       82:{1,4,5}:{(59,1),(61,1),(108,1),(109,1),(110,1)}
       83:{4,6}:{(59,1),(62,1)}
       84:{1,2,3,5}:{(60,1),(61,1),(65,1),(102,1),(108,1),(110,1),(113,1),(158,1),(199,1)}
       85:{1,2,5,6}:{(61,1),(62,1),(64,1),(66,1),(109,1),(140,1),(150,1)}
       86:{1,4}:{(63,1),(92,1)}
       87:{1,2,3,6}:{(63,1),(64,1),(67,1),(93,1),(112,1)}
       88:{1,4,5}:{(65,1),(104,1),(110,1),(113,1),(114,1)}
       89:{1,3,5,6}:{(65,1),(66,1),(67,1),(105,1),(114,1),(187,1),(216,1)}
       90:{4,5,6}:{(68,1),(83,1),(115,1),(176,1)}
       91:{1,2,5,6}:{(68,1),(70,1),(116,1),(117,1),(138,1),(181,1),(200,1)}
       92:{3,4}:{(69,1),(86,1),(212,1)}
       93:{2,3,6}:{(69,1),(70,1),(118,1),(135,1)}
       94:{1,4}:{(71,1),(119,1),(128,1)}
       95:{2,3,4,6}:{(72,1),(76,1),(119,1),(121,1),(128,1),(168,1),(170,1),(173,1),(174,1),(175,1),(205,1)}
       96:{1,2,5}:{(72,1),(120,1),(121,1),(209,1)}
       97:{1,2,4}:{(73,1),(123,1),(124,1),(171,1)}
       98:{2,3,5}:{(73,1),(75,1),(81,1),(124,1),(125,1)}
       99:{2,3}:{(74,1),(119,1)}
      100:{1,2,4,5}:{(74,1),(75,1),(77,1),(82,1),(120,1),(124,1),(126,1),(127,1),(128,1),(136,1),(169,1),(171,1),(176,1),(181,1),(203,1),(209,1),(212,1),(221,1),(224,1)}
      101:{2,4,6}:{(75,1),(78,1),(83,1),(125,1)}
      102:{2,3,5}:{(76,1),(77,1),(79,1),(128,1)}
      103:{1,2,5,6}:{(77,1),(78,1),(80,1),(127,1),(129,1),(139,1),(181,1),(207,1),(209,1)}
      104:{3,4,5}:{(79,1),(88,1),(128,1),(130,1),(131,1),(134,1),(176,1),(180,1),(212,1)}
      105:{3,5,6}:{(79,1),(80,1),(131,1),(135,1),(168,1),(180,1),(229,1)}
      106:{1,4,5}:{(81,1),(124,1),(132,1),(133,1),(171,1),(209,1)}
      107:{3,4,6}:{(81,1),(83,1),(115,1),(125,1),(133,1),(135,1)}
      108:{3,5}:{(82,1),(134,1),(135,1)}
      109:{1,4,6}:{(82,1),(83,1),(85,1),(135,1)}
      110:{1,4}:{(84,1),(128,1),(134,1),(212,1)}
      111:{1,2,3,5,6}:{(84,1),(85,1),(87,1),(89,1),(117,1),(129,1),(135,1),(137,1),(138,1),(139,1),(162,1),(172,1),(179,1),(180,1),(181,1),(200,1),(209,1),(211,1),(222,1),(229,1)}
      112:{1,4,6}:{(86,1),(87,1),(118,1),(138,1)}
      113:{1,2,5}:{(88,1),(130,1),(136,1),(139,1)}
      114:{1,4,6}:{(88,1),(89,1),(131,1),(139,1)}
      115:{3,5,6}:{(90,1),(107,1),(140,1),(195,1)}
      116:{1,4,5,6}:{(90,1),(91,1),(109,1),(140,1),(141,1),(142,1),(161,1),(182,1)}
      117:{2,3,5,6}:{(91,1),(93,1),(141,1),(142,1),(143,1),(183,1),(185,1),(199,1)}
      118:{3,4,6}:{(92,1),(93,1),(112,1),(142,1),(143,1)}
      119:{3,4}:{(94,1),(99,1),(145,1)}
      120:{1,4,5}:{(94,1),(96,1),(145,1),(146,1),(147,1)}
      121:{2,3,5}:{(95,1),(96,1),(145,1),(147,1),(195,1),(196,1)}
      122:{1,2,5,6}:{(96,1),(146,1),(148,1),(215,1),(216,1)}
      123:{1,2,3}:{(97,1),(99,1),(144,1),(226,1)}
      124:{1,2,5}:{(97,1),(98,1),(106,1),(150,1)}
      125:{2,3,6}:{(98,1),(101,1),(107,1),(150,1)}
      126:{2,3,5}:{(99,1),(100,1),(108,1),(145,1),(151,1),(152,1),(158,1),(195,1),(226,1),(228,1)}
      127:{1,2,4,6}:{(100,1),(101,1),(103,1),(109,1),(146,1),(150,1),(152,1),(154,1),(190,1),(193,1),(215,1),(227,1)}
      128:{4}:{(102,1)}
      129:{2,3,5,6}:{(102,1),(103,1),(105,1),(152,1),(154,1),(155,1),(195,1),(196,1),(199,1)}
      130:{2,3,5}:{(104,1),(113,1),(153,1),(155,1),(158,1),(196,1)}
      131:{3,4,6}:{(104,1),(105,1),(114,1),(154,1),(155,1)}
      132:{1,3,5}:{(106,1),(108,1),(156,1),(157,1)}
      133:{1,4,6}:{(106,1),(107,1),(140,1),(150,1),(157,1)}
      134:{3,4}:{(108,1),(110,1),(158,1)}
      135:{3,6}:{(108,1),(109,1)}
      136:{1,2,4}:{(110,1),(113,1),(153,1),(158,1)}
      137:{1,4,6}:{(110,1),(111,1),(142,1),(154,1),(159,1),(161,1),(220,1)}
      138:{1,5}:{(112,1),(143,1)}
      139:{1,2,6}:{(113,1),(114,1),(155,1)}
      140:{1,5,6}:{(115,1),(133,1),(209,1)}
      141:{3,5,6}:{(116,1),(135,1),(163,1),(180,1)}
      142:{4,6}:{(117,1),(165,1),(212,1)}
      143:{3,5}:{(118,1),(138,1),(165,1)}
      144:{1,3,4}:{(119,1),(123,1),(166,1),(171,1),(225,1)}
      145:{3,5}:{(119,1),(120,1),(168,1)}
      146:{1,4,6}:{(120,1),(122,1),(168,1),(170,1)}
      147:{4,5}:{(121,1),(128,1),(170,1)}
      148:{2,3,5,6}:{(121,1),(122,1),(168,1),(170,1),(205,1),(206,1),(207,1)}
      149:{1,2,3,5}:{(123,1),(124,1),(126,1),(132,1),(166,1),(171,1),(172,1),(177,1),(203,1),(209,1)}
      150:{1,2,6}:{(124,1),(125,1),(133,1)}
      151:{3,4}:{(126,1),(128,1),(171,1),(212,1)}
      152:{2,3,6}:{(126,1),(127,1),(135,1),(168,1),(174,1),(229,1)}
      153:{2,4}:{(128,1),(130,1),(212,1)}
      154:{4,6}:{(128,1),(129,1),(176,1),(212,1)}
      155:{2,3,6}:{(130,1),(131,1),(139,1),(175,1)}
      156:{1,3,4}:{(132,1),(134,1),(171,1),(177,1)}
      157:{1,3,6}:{(132,1),(133,1),(135,1)}
      158:{2,3}:{(134,1),(136,1)}
      159:{3,4,6}:{(134,1),(135,1),(137,1),(179,1),(180,1),(212,1),(225,1),(229,1)}
      160:{1,2,4,6}:{(136,1),(137,1),(139,1),(164,1),(175,1),(179,1),(181,1),(200,1),(212,1),(221,1)}
      161:{1,4,5}:{(137,1),(138,1),(165,1),(176,1),(180,1),(181,1),(209,1),(212,1)}
      162:{1,3,5,6}:{(140,1),(141,1),(157,1),(182,1),(198,1)}
      163:{3,4,6}:{(141,1),(142,1),(182,1),(183,1),(184,1)}
      164:{2,4,6}:{(142,1),(183,1),(185,1),(214,1)}
      165:{4,5}:{(142,1),(143,1),(185,1)}
      166:{1,3,5}:{(144,1),(145,1),(186,1),(187,1),(228,1)}
      167:{3,4,5}:{(145,1),(147,1),(151,1),(186,1),(188,1),(189,1),(195,1),(219,1),(228,1)}
      168:{3,6}:{(145,1),(146,1)}
      169:{2,4,5}:{(147,1),(153,1),(188,1),(190,1),(196,1),(219,1)}
      170:{4,6}:{(147,1),(148,1)}
      171:{1,4}:{(149,1),(151,1)}
      172:{1,2,3,6}:{(149,1),(150,1),(152,1),(157,1),(187,1),(193,1),(215,1)}
      173:{2,3,4}:{(151,1),(153,1),(158,1),(188,1),(192,1)}
      174:{3,4,6}:{(151,1),(152,1),(154,1),(193,1),(195,1)}
      175:{2,4,6}:{(153,1),(154,1),(155,1),(196,1)}
      176:{4,5}:{(154,1),(195,1),(196,1)}
      177:{1,2,3}:{(156,1),(158,1),(192,1)}
      178:{1,3,4,6}:{(156,1),(157,1),(159,1),(182,1),(193,1),(197,1),(198,1),(220,1)}
      179:{2,3,6}:{(158,1),(159,1),(160,1),(199,1),(226,1)}
      180:{3,5}:{(159,1),(161,1)}
      181:{1,2,5}:{(160,1),(161,1),(185,1),(196,1),(199,1)}
      182:{1,4,6}:{(162,1),(163,1),(200,1),(201,1)}
      183:{2,3,6}:{(163,1),(164,1),(200,1),(202,1)}
      184:{3,4,5}:{(163,1),(165,1),(180,1),(201,1),(202,1),(212,1),(225,1)}
      185:{2,5}:{(164,1),(165,1)}
      186:{1,4,5}:{(166,1),(167,1),(171,1),(203,1),(204,1),(209,1)}
      187:{1,3,6}:{(166,1),(168,1),(204,1),(229,1)}
      188:{2,3,5}:{(167,1),(169,1),(173,1),(203,1),(205,1)}
      189:{3,4,6}:{(167,1),(168,1),(170,1),(204,1),(205,1),(206,1),(223,1),(229,1)}
      190:{2,4,6}:{(169,1),(170,1),(205,1),(207,1),(223,1)}
      191:{4,5,6}:{(170,1),(176,1),(206,1),(207,1),(223,1)}
      192:{1,2,4}:{(171,1),(173,1),(177,1),(203,1)}
      193:{1,4,6}:{(171,1),(172,1),(174,1),(209,1)}
      194:{2,3,4,6}:{(173,1),(174,1),(175,1),(179,1),(205,1),(208,1),(210,1),(212,1),(223,1),(225,1),(229,1)}
      195:{3,5}:{(174,1),(176,1),(209,1)}
      196:{2,5}:{(175,1),(176,1)}
      197:{1,2,3,6}:{(177,1),(178,1),(179,1),(200,1),(208,1),(211,1),(229,1)}
      198:{1,3,5}:{(178,1),(180,1),(201,1),(209,1)}
      199:{2,3,5}:{(179,1),(180,1),(181,1),(212,1)}
      200:{1,2,6}:{(182,1),(183,1),(213,1)}
      201:{1,4,5}:{(182,1),(184,1),(198,1),(213,1),(220,1)}
      202:{2,3,5}:{(183,1),(184,1),(185,1),(213,1),(214,1),(226,1)}
      203:{1,2,5}:{(186,1),(188,1),(192,1),(215,1)}
      204:{1,4,6}:{(186,1),(187,1),(189,1),(215,1),(216,1)}
      205:{2,3,6}:{(188,1),(189,1),(190,1),(215,1)}
      206:{3,5,6}:{(189,1),(191,1),(195,1),(216,1)}
      207:{2,5,6}:{(190,1),(191,1),(196,1)}
      208:{1,2,4,6}:{(192,1),(193,1),(194,1),(197,1),(215,1),(218,1),(220,1),(227,1)}
      209:{1,5}:{(193,1),(195,1)}
      210:{2,3,5}:{(194,1),(195,1),(196,1),(218,1),(219,1),(228,1)}
      211:{1,2,3,5}:{(197,1),(198,1),(199,1),(213,1),(218,1),(220,1),(226,1),(228,1)}
      212:{4}:{(199,1)}
      213:{1,2,5}:{(200,1),(201,1),(202,1),(221,1)}
      214:{2,4}:{(202,1),(212,1)}
      215:{1,2,6}:{(203,1),(204,1),(205,1)}
      216:{1,5,6}:{(204,1),(206,1),(209,1)}
      217:{2,3,5,6}:{(205,1),(206,1),(207,1),(210,1),(222,1),(223,1),(229,1)}
      218:{1,2,5}:{(208,1),(209,1),(210,1),(224,1)}
      219:{4,5}:{(210,1),(212,1),(223,1)}
      220:{1,4}:{(211,1),(212,1),(225,1)}
      221:{1,2,4}:{(213,1),(214,1),(220,1),(226,1)}
      222:{1,2,5,6}:{(215,1),(216,1),(217,1),(218,1),(227,1)}
      223:{4,6}:{(217,1),(219,1)}
      224:{1,4,5}:{(218,1),(219,1),(220,1),(227,1),(228,1)}
      225:{3,4}:{(220,1),(226,1),(228,1)}
      226:{2,3}:{(221,1),(225,1)}
      227:{1,4,6}:{(222,1),(223,1),(224,1),(229,1)}
      228:{3,5}:{(224,1),(225,1),(229,1)}
      229:{3,6}:{(227,1),(228,1)}

337 :   0:{2,3,4}:{(4,1),(5,1),(37,1),(244,1),(249,1)}
        1:{2,4,5}:{(5,1),(7,1),(25,1),(237,1),(244,1)}
        2:{2,3,4,6}:{(0,1),(8,1),(10,1),(11,1),(18,1),(42,1),(47,1),(61,1),(102,1),(103,1),(108,1),(157,1),(166,1),(213,1),(222,1)}
        3:{4,5,6}:{(12,1),(13,1),(47,1),(214,1)}
        4:{1,2,4}:{(0,1),(16,1),(17,1),(57,1)}
        5:{2,3,5}:{(0,1),(1,1),(15,1),(17,1),(18,1)}
        6:{1,2,4,5}:{(1,1),(17,1),(19,1),(20,1),(46,1),(57,1),(90,1),(104,1),(109,1),(111,1),(117,1),(168,1),(177,1),(222,1),(228,1)}
        7:{2,4,6}:{(1,1),(13,1),(18,1),(47,1)}
        8:{2,3,4}:{(21,1),(22,1),(125,1),(142,1),(198,1)}
        9:{3,4,5}:{(22,1),(23,1),(24,1),(25,1),(71,1),(125,1),(187,1)}
       10:{1,2,4,6}:{(2,1),(4,1),(21,1),(26,1),(27,1),(36,1),(66,1),(72,1),(73,1),(85,1),(128,1)}
       11:{2,3,5}:{(2,1),(25,1),(27,1),(71,1),(89,1),(141,1),(187,1),(237,1)}
       12:{3,5,6}:{(3,1),(24,1),(29,1),(187,1)}
       13:{2,5,6}:{(3,1),(7,1),(237,1)}
       14:{1,4,5,6}:{(3,1),(29,1),(30,1),(31,1),(72,1),(75,1),(76,1),(138,1),(180,1),(202,1),(232,1)}
       15:{3,4,5}:{(5,1),(25,1),(33,1),(34,1),(37,1),(71,1),(89,1)}
       16:{1,2,3}:{(4,1),(32,1),(249,1)}
       17:{1,2,5}:{(4,1),(5,1),(33,1),(36,1)}
       18:{2,3,6}:{(5,1),(7,1),(34,1),(36,1)}
       19:{2,3,5}:{(6,1),(37,1),(38,1),(71,1),(89,1),(135,1),(205,1),(249,1)}
       20:{1,2,4,6}:{(6,1),(7,1),(30,1),(36,1),(38,1),(72,1),(76,1),(85,1),(121,1),(143,1),(202,1)}
       21:{1,2,4}:{(8,1),(40,1),(41,1),(95,1)}
       22:{2,3,5}:{(8,1),(9,1),(39,1),(41,1),(42,1)}
       23:{1,4,5}:{(9,1),(41,1),(43,1),(44,1),(95,1),(159,1)}
       24:{3,4,6}:{(9,1),(12,1),(42,1),(44,1),(47,1),(103,1)}
       25:{4,5}:{(11,1),(47,1),(222,1)}
       26:{1,2,3,6}:{(10,1),(16,1),(40,1),(45,1),(48,1),(103,1),(163,1),(166,1)}
       27:{1,2,5}:{(10,1),(11,1),(46,1),(117,1),(159,1)}
       28:{2,3,5,6}:{(11,1),(12,1),(13,1),(18,1),(42,1),(47,1),(49,1),(54,1),(92,1),(103,1)}
       29:{1,5,6}:{(12,1),(44,1),(159,1)}
       30:{1,2,5,6}:{(13,1),(14,1),(20,1),(51,1),(106,1),(117,1),(151,1),(168,1)}
       31:{3,5,6}:{(14,1),(52,1),(103,1),(167,1),(227,1)}
       32:{1,3,4}:{(16,1),(53,1),(57,1),(229,1)}
       33:{1,4,5}:{(15,1),(17,1),(55,1),(56,1),(57,1),(117,1)}
       34:{3,4,6}:{(15,1),(18,1),(47,1),(54,1),(56,1),(103,1)}
       35:{1,2,3,5}:{(16,1),(17,1),(19,1),(53,1),(55,1),(57,1),(58,1),(111,1),(114,1),(117,1)}
       36:{1,2,6}:{(17,1),(18,1),(56,1)}
       37:{3,4}:{(19,1),(57,1),(222,1)}
       38:{2,3,6}:{(19,1),(20,1),(61,1),(103,1),(227,1)}
       39:{2,4,5}:{(22,1),(25,1),(64,1),(141,1),(142,1)}
       40:{1,2,3}:{(21,1),(62,1),(198,1)}
       41:{1,2,5}:{(21,1),(22,1),(23,1),(66,1)}
       42:{2,3,6}:{(22,1),(24,1),(64,1),(66,1)}
       43:{1,3,5}:{(23,1),(67,1),(68,1),(71,1)}
       44:{1,4,6}:{(23,1),(24,1),(29,1),(66,1),(68,1)}
       45:{1,3,4,6}:{(26,1),(32,1),(62,1),(69,1),(73,1),(80,1),(85,1),(123,1),(128,1),(133,1),(136,1)}
       46:{1,4,5}:{(25,1),(27,1),(71,1),(72,1),(73,1)}
       47:{4,6}:{(25,1),(28,1)}
       48:{1,2,3,5}:{(26,1),(27,1),(69,1),(71,1),(73,1),(132,1),(135,1),(196,1)}
       49:{1,2,5,6}:{(27,1),(28,1),(29,1),(36,1),(66,1),(72,1),(81,1)}
       50:{1,3,5,6}:{(29,1),(31,1),(68,1),(75,1),(130,1),(232,1),(248,1)}
       51:{2,3,5,6}:{(30,1),(31,1),(38,1),(76,1),(77,1),(89,1),(141,1),(196,1)}
       52:{3,4,6}:{(31,1),(75,1),(76,1),(77,1),(78,1)}
       53:{1,3,5}:{(32,1),(79,1),(80,1),(205,1)}
       54:{3,5,6}:{(34,1),(70,1),(81,1),(89,1)}
       55:{1,3,5}:{(33,1),(71,1),(82,1),(83,1)}
       56:{1,4,6}:{(33,1),(34,1),(36,1),(81,1),(83,1)}
       57:{1,4}:{(35,1),(37,1)}
       58:{1,2,3,6}:{(35,1),(36,1),(38,1),(80,1),(83,1),(85,1),(143,1)}
       59:{3,4,5}:{(37,1),(79,1),(86,1),(87,1),(89,1),(150,1),(205,1)}
       60:{2,3,4}:{(37,1),(84,1),(86,1),(135,1),(190,1)}
       61:{3,4,6}:{(37,1),(38,1),(76,1),(85,1),(89,1)}
       62:{1,3,4}:{(40,1),(91,1),(95,1),(217,1)}
       63:{1,2,4,5}:{(39,1),(41,1),(46,1),(93,1),(94,1),(95,1),(104,1),(153,1),(159,1),(168,1),(169,1),(209,1),(214,1),(216,1),(222,1)}
       64:{2,4,6}:{(39,1),(42,1),(47,1),(92,1)}
       65:{1,2,3,5}:{(40,1),(41,1),(43,1),(91,1),(93,1),(95,1),(96,1),(97,1),(153,1),(159,1)}
       66:{1,2,6}:{(41,1),(42,1),(44,1)}
       67:{1,3,4}:{(43,1),(95,1),(97,1),(102,1)}
       68:{1,3,6}:{(43,1),(44,1),(103,1)}
       69:{1,3,5}:{(45,1),(99,1),(117,1),(159,1),(167,1)}
       70:{4,5,6}:{(47,1),(54,1),(92,1),(109,1)}
       71:{3,5}:{(46,1),(102,1),(103,1)}
       72:{1,4,6}:{(46,1),(47,1),(49,1),(103,1)}
       73:{1,4}:{(48,1),(102,1),(222,1)}
       74:{1,2,3,5,6}:{(48,1),(49,1),(50,1),(51,1),(58,1),(96,1),(100,1),(103,1),(105,1),(106,1),(113,1),(117,1),(155,1),(159,1),(160,1),(163,1),(166,1),(167,1),(168,1),(173,1),(174,1),(176,1),(212,1),(219,1),(227,1),(254,1),(260,1),(277,1)}
       75:{1,4,6}:{(50,1),(52,1),(106,1),(107,1)}
       76:{4,6}:{(51,1),(109,1),(222,1)}
       77:{2,3,6}:{(52,1),(106,1),(108,1),(110,1)}
       78:{3,4,5}:{(52,1),(107,1),(109,1),(110,1),(167,1),(217,1),(222,1)}
       79:{1,4,5}:{(53,1),(57,1),(59,1),(111,1),(112,1),(117,1)}
       80:{1,3,6}:{(53,1),(112,1),(227,1)}
       81:{1,5,6}:{(54,1),(56,1),(117,1)}
       82:{1,3,4}:{(55,1),(57,1),(102,1),(114,1)}
       83:{1,3,6}:{(55,1),(56,1),(103,1)}
       84:{1,2,4}:{(57,1),(60,1),(111,1),(114,1)}
       85:{1,4,6}:{(57,1),(58,1),(61,1),(117,1)}
       86:{2,3,5}:{(59,1),(60,1),(90,1),(111,1),(118,1)}
       87:{3,4,6}:{(59,1),(112,1),(118,1),(119,1),(178,1),(227,1)}
       88:{2,3,4,6}:{(60,1),(61,1),(108,1),(116,1),(118,1),(120,1),(166,1),(172,1),(178,1),(218,1),(222,1),(225,1),(227,1),(229,1),(259,1)}
       89:{3,5}:{(61,1),(109,1),(117,1)}
       90:{2,4,5}:{(86,1),(121,1),(150,1),(190,1),(241,1)}
       91:{1,3,5}:{(62,1),(122,1),(123,1),(239,1)}
       92:{2,5,6}:{(64,1),(70,1),(141,1)}
       93:{2,3,5}:{(63,1),(71,1),(125,1),(126,1),(135,1),(187,1),(198,1),(239,1)}
       94:{1,2,4,6}:{(63,1),(64,1),(66,1),(72,1),(124,1),(126,1),(128,1),(183,1),(185,1),(233,1),(236,1)}
       95:{1,4}:{(65,1),(125,1)}
       96:{1,2,3,6}:{(65,1),(66,1),(68,1),(123,1),(126,1),(128,1),(183,1)}
       97:{1,2,3}:{(67,1),(127,1),(135,1)}
       98:{1,3,4,6}:{(67,1),(68,1),(75,1),(128,1),(129,1),(130,1),(136,1),(189,1),(248,1),(250,1),(271,1)}
       99:{1,4,5}:{(69,1),(73,1),(131,1),(132,1),(133,1)}
      100:{1,3,5,6}:{(69,1),(80,1),(123,1),(133,1),(144,1),(184,1),(192,1)}
      101:{1,4,5,6}:{(70,1),(72,1),(81,1),(124,1),(134,1),(138,1),(145,1),(185,1),(236,1),(264,1),(278,1)}
      102:{3,4}:{(71,1),(73,1),(135,1)}
      103:{3,6}:{(71,1),(72,1)}
      104:{1,2,4}:{(73,1),(132,1),(135,1),(190,1)}
      105:{1,4,6}:{(73,1),(74,1),(76,1),(136,1),(138,1),(185,1),(189,1),(204,1),(242,1)}
      106:{1,2,6}:{(75,1),(77,1),(139,1)}
      107:{1,4,5}:{(75,1),(78,1),(130,1),(139,1),(189,1)}
      108:{2,4,6}:{(76,1),(77,1),(141,1),(142,1)}
      109:{4,5}:{(76,1),(89,1),(141,1)}
      110:{2,3,5}:{(77,1),(78,1),(139,1),(141,1),(142,1),(198,1)}
      111:{1,2,5}:{(79,1),(84,1),(86,1),(143,1)}
      112:{1,4,6}:{(79,1),(80,1),(87,1),(143,1),(144,1)}
      113:{1,3,5,6}:{(81,1),(83,1),(134,1),(145,1),(147,1),(267,1),(278,1)}
      114:{1,2,3}:{(82,1),(84,1),(135,1)}
      115:{1,3,4,6}:{(82,1),(83,1),(85,1),(136,1),(145,1),(146,1),(147,1),(204,1),(240,1),(267,1),(271,1)}
      116:{1,2,4,6}:{(84,1),(85,1),(88,1),(143,1),(146,1),(148,1),(201,1),(202,1),(204,1),(247,1),(271,1)}
      117:{1,5}:{(85,1),(89,1)}
      118:{2,3,6}:{(86,1),(87,1),(121,1),(143,1)}
      119:{3,5,6}:{(87,1),(89,1),(140,1),(144,1)}
      120:{2,3,5}:{(88,1),(89,1),(141,1),(148,1),(150,1),(205,1),(241,1),(270,1)}
      121:{2,4,6}:{(90,1),(118,1),(151,1),(178,1)}
      122:{1,4,5}:{(91,1),(95,1),(152,1),(153,1),(154,1),(159,1)}
      123:{1,3,6}:{(91,1),(154,1),(254,1)}
      124:{1,2,5,6}:{(92,1),(94,1),(101,1),(155,1),(159,1),(168,1),(174,1),(251,1)}
      125:{3,4}:{(93,1),(95,1),(222,1)}
      126:{2,3,6}:{(93,1),(94,1),(103,1),(157,1),(254,1)}
      127:{1,2,4}:{(95,1),(97,1),(153,1),(156,1)}
      128:{1,4,6}:{(95,1),(96,1),(157,1),(159,1)}
      129:{1,2,3,6}:{(97,1),(98,1),(106,1),(158,1),(160,1),(166,1),(254,1),(263,1)}
      130:{1,3,5}:{(98,1),(107,1),(159,1),(167,1),(277,1)}
      131:{3,4,5}:{(99,1),(102,1),(161,1),(162,1),(167,1),(222,1),(258,1)}
      132:{1,2,5}:{(99,1),(104,1),(161,1),(163,1)}
      133:{1,4,6}:{(99,1),(100,1),(162,1),(163,1)}
      134:{3,5,6}:{(101,1),(103,1),(165,1),(167,1),(254,1)}
      135:{2,3}:{(102,1),(104,1)}
      136:{3,4,6}:{(102,1),(103,1),(105,1),(166,1),(167,1),(217,1),(222,1),(227,1),(229,1),(254,1)}
      137:{1,2,4,6}:{(104,1),(105,1),(106,1),(108,1),(163,1),(166,1),(168,1),(169,1),(174,1),(213,1),(218,1),(222,1),(228,1)}
      138:{1,4,5}:{(105,1),(109,1),(117,1),(159,1),(167,1),(168,1),(214,1),(222,1),(258,1),(277,1)}
      139:{1,2,5}:{(106,1),(107,1),(110,1),(169,1)}
      140:{4,5,6}:{(109,1),(119,1),(170,1),(178,1)}
      141:{2,5}:{(108,1),(109,1)}
      142:{2,4}:{(110,1),(222,1)}
      143:{1,2,6}:{(111,1),(112,1),(118,1)}
      144:{1,5,6}:{(112,1),(117,1),(119,1)}
      145:{1,4,6}:{(113,1),(165,1),(174,1),(175,1)}
      146:{1,2,3,6}:{(114,1),(115,1),(116,1),(166,1),(174,1),(176,1),(224,1),(227,1)}
      147:{1,3,5}:{(115,1),(117,1),(167,1),(175,1),(277,1)}
      148:{1,2,5}:{(116,1),(117,1),(120,1),(177,1),(277,1)}
      149:{2,3,5,6}:{(118,1),(119,1),(120,1),(151,1),(170,1),(173,1),(178,1),(208,1),(225,1),(227,1)}
      150:{4,5}:{(120,1),(178,1),(222,1)}
      151:{2,5,6}:{(121,1),(180,1),(241,1)}
      152:{3,4,5}:{(122,1),(125,1),(181,1),(182,1),(187,1),(238,1),(239,1)}
      153:{1,2,5}:{(122,1),(127,1),(181,1),(183,1)}
      154:{1,4,6}:{(122,1),(123,1),(182,1),(183,1),(184,1)}
      155:{2,3,5,6}:{(124,1),(126,1),(134,1),(185,1),(187,1),(194,1),(196,1),(237,1)}
      156:{2,3,4}:{(125,1),(127,1),(135,1),(181,1),(190,1)}
      157:{3,4,6}:{(125,1),(126,1),(128,1),(185,1),(187,1)}
      158:{1,2,4,6}:{(127,1),(128,1),(129,1),(183,1),(186,1),(188,1),(189,1),(236,1),(271,1),(272,1),(279,1)}
      159:{1,5}:{(128,1),(187,1)}
      160:{1,2,3,5}:{(129,1),(130,1),(139,1),(188,1),(189,1),(196,1),(198,1),(239,1)}
      161:{2,3,5}:{(131,1),(132,1),(135,1),(190,1),(191,1),(241,1)}
      162:{3,4,6}:{(131,1),(133,1),(191,1),(192,1),(242,1)}
      163:{1,2,6}:{(132,1),(133,1),(191,1)}
      164:{1,4,5,6}:{(133,1),(138,1),(140,1),(144,1),(184,1),(192,1),(193,1),(202,1),(234,1),(236,1),(242,1)}
      165:{3,4,6}:{(134,1),(145,1),(185,1),(194,1),(195,1)}
      166:{2,3,6}:{(135,1),(136,1),(137,1),(196,1),(198,1),(249,1)}
      167:{3,5}:{(136,1),(138,1)}
      168:{1,2,5}:{(137,1),(138,1),(141,1),(196,1),(237,1),(241,1)}
      169:{1,2,4}:{(139,1),(142,1),(189,1),(198,1)}
      170:{2,5,6}:{(140,1),(141,1),(199,1)}
      171:{2,4,5}:{(141,1),(142,1),(150,1),(199,1),(200,1)}
      172:{2,3,4}:{(142,1),(198,1),(200,1),(201,1),(245,1)}
      173:{1,2,5,6}:{(143,1),(144,1),(148,1),(149,1),(202,1),(232,1),(247,1)}
      174:{1,2,6}:{(145,1),(194,1),(203,1)}
      175:{1,4,5}:{(145,1),(147,1),(195,1),(203,1),(204,1)}
      176:{1,2,3,5}:{(146,1),(147,1),(148,1),(196,1),(203,1),(204,1),(205,1),(249,1)}
      177:{1,4,5}:{(148,1),(150,1),(202,1),(204,1),(205,1)}
      178:{4,6}:{(149,1),(150,1)}
      179:{3,4,5}:{(150,1),(200,1),(205,1),(206,1),(207,1),(245,1),(270,1)}
      180:{4,5,6}:{(151,1),(178,1),(208,1),(258,1)}
      181:{2,3,5}:{(152,1),(153,1),(156,1),(209,1),(210,1)}
      182:{3,4,6}:{(152,1),(154,1),(210,1),(211,1),(253,1),(254,1)}
      183:{1,2,6}:{(153,1),(154,1),(210,1)}
      184:{1,5,6}:{(154,1),(159,1),(211,1)}
      185:{4,6}:{(155,1),(214,1),(222,1)}
      186:{2,3,4,6}:{(156,1),(157,1),(158,1),(166,1),(210,1),(213,1),(215,1),(217,1),(218,1),(222,1),(253,1),(254,1),(259,1),(261,1),(274,1)}
      187:{3,5}:{(157,1),(159,1),(214,1)}
      188:{1,2,5}:{(158,1),(159,1),(215,1),(216,1),(277,1)}
      189:{1,4}:{(160,1),(217,1),(222,1)}
      190:{2,4}:{(161,1),(222,1)}
      191:{2,3,6}:{(161,1),(162,1),(163,1),(218,1)}
      192:{3,5,6}:{(162,1),(164,1),(167,1),(227,1),(254,1)}
      193:{1,2,5,6}:{(163,1),(164,1),(168,1),(170,1),(219,1),(220,1),(252,1),(277,1)}
      194:{2,3,6}:{(165,1),(174,1),(213,1),(221,1)}
      195:{3,4,5}:{(165,1),(167,1),(175,1),(214,1),(221,1),(222,1),(229,1)}
      196:{2,3,5}:{(166,1),(167,1),(168,1),(222,1)}
      197:{1,2,4,5}:{(168,1),(169,1),(171,1),(177,1),(216,1),(220,1),(222,1),(223,1),(226,1),(228,1),(255,1),(258,1),(262,1),(276,1),(277,1)}
      198:{2,3}:{(169,1),(217,1)}
      199:{2,4,6}:{(170,1),(171,1),(178,1),(225,1)}
      200:{2,3,5}:{(171,1),(172,1),(179,1),(225,1),(226,1)}
      201:{1,2,4}:{(172,1),(224,1),(226,1),(262,1)}
      202:{1,4,6}:{(173,1),(177,1),(178,1),(227,1)}
      203:{1,2,5}:{(174,1),(175,1),(221,1),(228,1)}
      204:{1,4}:{(176,1),(222,1),(229,1)}
      205:{3,5}:{(177,1),(227,1),(229,1)}
      206:{3,4,6}:{(178,1),(179,1),(208,1),(225,1),(227,1),(231,1)}
      207:{1,4,5}:{(179,1),(226,1),(230,1),(231,1),(262,1),(277,1)}
      208:{3,5,6}:{(180,1),(206,1),(232,1),(270,1)}
      209:{2,4,5}:{(181,1),(190,1),(233,1),(238,1),(241,1)}
      210:{2,3,6}:{(181,1),(182,1),(183,1),(233,1)}
      211:{3,5,6}:{(182,1),(184,1),(187,1),(234,1)}
      212:{1,2,5,6}:{(183,1),(184,1),(188,1),(235,1),(236,1),(278,1),(279,1)}
      213:{2,4,6}:{(185,1),(194,1),(237,1),(244,1)}
      214:{4,5}:{(185,1),(187,1),(237,1)}
      215:{2,3,5}:{(186,1),(187,1),(188,1),(237,1),(238,1),(239,1),(241,1),(270,1)}
      216:{1,4,5}:{(188,1),(189,1),(236,1),(238,1),(239,1)}
      217:{3,4}:{(189,1),(198,1),(239,1)}
      218:{2,4,6}:{(190,1),(191,1),(241,1),(242,1)}
      219:{2,3,5,6}:{(191,1),(192,1),(193,1),(196,1),(241,1),(242,1),(243,1),(270,1)}
      220:{1,2,4,6}:{(193,1),(197,1),(199,1),(202,1),(236,1),(242,1),(243,1),(247,1),(265,1),(271,1),(279,1)}
      221:{2,3,5}:{(194,1),(195,1),(203,1),(237,1),(244,1),(249,1)}
      222:{4}:{(196,1)}
      223:{2,3,5}:{(197,1),(198,1),(205,1),(239,1),(243,1),(245,1),(249,1),(270,1)}
      224:{1,2,3}:{(198,1),(201,1),(240,1)}
      225:{2,3,6}:{(199,1),(200,1),(206,1),(247,1)}
      226:{1,2,5}:{(200,1),(201,1),(207,1),(247,1)}
      227:{3,6}:{(202,1),(205,1)}
      228:{1,2,4}:{(203,1),(204,1),(244,1),(249,1)}
      229:{3,4}:{(204,1),(205,1),(249,1)}
      230:{1,3,5}:{(205,1),(207,1),(248,1),(250,1)}
      231:{1,4,6}:{(206,1),(207,1),(232,1),(247,1),(248,1)}
      232:{1,5,6}:{(208,1),(231,1),(277,1)}
      233:{2,4,6}:{(209,1),(210,1),(251,1),(253,1)}
      234:{4,5,6}:{(211,1),(214,1),(252,1),(253,1)}
      235:{2,3,5,6}:{(210,1),(211,1),(212,1),(215,1),(251,1),(252,1),(253,1),(254,1),(273,1),(274,1)}
      236:{1,4,6}:{(212,1),(216,1),(253,1),(254,1)}
      237:{2,5}:{(213,1),(214,1)}
      238:{4,5}:{(215,1),(222,1),(253,1)}
      239:{3,5}:{(216,1),(217,1),(254,1)}
      240:{1,3,4}:{(217,1),(224,1),(257,1),(262,1)}
      241:{2,5}:{(218,1),(258,1)}
      242:{4,6}:{(219,1),(222,1),(258,1)}
      243:{2,3,6}:{(220,1),(223,1),(227,1),(254,1),(259,1)}
      244:{2,4}:{(221,1),(222,1)}
      245:{3,4}:{(222,1),(223,1),(262,1)}
      246:{1,2,3,5}:{(223,1),(224,1),(226,1),(230,1),(257,1),(260,1),(262,1),(263,1),(276,1),(277,1)}
      247:{1,2,6}:{(225,1),(226,1),(231,1)}
      248:{1,3,6}:{(227,1),(230,1),(231,1)}
      249:{2,3}:{(228,1),(229,1)}
      250:{1,3,4}:{(229,1),(230,1),(262,1),(263,1)}
      251:{2,5,6}:{(233,1),(241,1),(264,1)}
      252:{2,5,6}:{(234,1),(237,1),(265,1)}
      253:{4,6}:{(235,1),(238,1)}
      254:{3,6}:{(236,1),(239,1)}
      255:{2,4,5}:{(237,1),(238,1),(244,1),(265,1),(268,1)}
      256:{3,4,5}:{(238,1),(239,1),(245,1),(266,1),(268,1),(269,1),(270,1)}
      257:{1,3,5}:{(239,1),(240,1),(267,1),(269,1)}
      258:{4,5}:{(241,1),(242,1),(270,1)}
      259:{3,4,6}:{(242,1),(243,1),(245,1),(270,1),(271,1)}
      260:{1,2,3,6}:{(243,1),(246,1),(247,1),(248,1),(267,1),(271,1),(279,1)}
      261:{2,3,4}:{(244,1),(245,1),(249,1),(268,1),(272,1)}
      262:{1,4}:{(245,1),(246,1)}
      263:{1,2,3}:{(249,1),(250,1),(272,1)}
      264:{4,5,6}:{(251,1),(253,1),(258,1),(273,1)}
      265:{2,4,6}:{(252,1),(253,1),(255,1),(274,1)}
      266:{3,4,6}:{(253,1),(254,1),(256,1),(273,1),(274,1),(275,1)}
      267:{1,3,6}:{(254,1),(257,1),(275,1)}
      268:{2,3,5}:{(255,1),(256,1),(261,1),(274,1),(276,1)}
      269:{1,4,5}:{(256,1),(257,1),(262,1),(275,1),(276,1),(277,1)}
      270:{3,5}:{(258,1),(259,1),(277,1)}
      271:{1,4,6}:{(259,1),(260,1),(262,1),(277,1)}
      272:{1,2,4}:{(261,1),(262,1),(263,1),(276,1)}
      273:{3,5,6}:{(264,1),(266,1),(270,1),(278,1)}
      274:{2,3,6}:{(265,1),(266,1),(268,1),(279,1)}
      275:{1,4,6}:{(266,1),(267,1),(269,1),(278,1),(279,1)}
      276:{1,2,5}:{(268,1),(269,1),(272,1),(279,1)}
      277:{1,5}:{(270,1),(271,1)}
      278:{1,5,6}:{(273,1),(275,1),(277,1)}
      279:{1,2,6}:{(274,1),(275,1),(276,1)}

338 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

339 :  0:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1),(11,1),(12,1),(22,1),(35,1),(48,1),(56,1),(59,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(14,1),(17,1),(20,1),(43,1),(53,1)}
       2:{1,4}:{(0,1),(5,1),(30,1)}
       3:{1,2,4}:{(2,1),(8,1),(9,1),(24,1),(38,1),(48,1)}
       4:{1,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       5:{3,4}:{(2,1),(8,1),(12,1),(24,1),(59,1)}
       6:{1,4,5}:{(2,1),(9,1),(11,1),(12,1),(13,1),(24,1),(26,1),(40,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(14,1),(15,1),(17,1),(29,1),(30,1),(32,1),(46,1),(53,1),(58,1)}
       8:{2,3}:{(3,1),(5,1)}
       9:{1,2,5}:{(3,1),(6,1),(16,1),(17,1),(33,1)}
      10:{3,4,6}:{(4,1),(5,1),(14,1),(18,1),(20,1),(30,1),(32,1),(34,1)}
      11:{1,5}:{(4,1),(18,1)}
      12:{3,5}:{(5,1),(6,1),(20,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(32,1),(34,1)}
      14:{2,3,6}:{(7,1),(8,1),(10,1),(22,1),(37,1),(41,1),(59,1)}
      15:{1,2,5}:{(7,1),(11,1),(21,1),(22,1),(40,1),(48,1),(52,1)}
      16:{2,3,5}:{(8,1),(9,1),(12,1),(24,1),(25,1),(40,1)}
      17:{1,2,6}:{(9,1),(13,1),(25,1),(41,1)}
      18:{3,5}:{(10,1),(11,1),(26,1),(40,1)}
      19:{1,5,6}:{(11,1),(13,1),(27,1),(40,1)}
      20:{3,6}:{(12,1),(13,1)}
      21:{1,4,5}:{(15,1),(28,1),(29,1),(30,1),(42,1),(47,1),(54,1),(58,1)}
      22:{2,3,5}:{(14,1),(15,1),(18,1),(28,1),(30,1),(33,1),(44,1)}
      23:{1,2,5,6}:{(15,1),(17,1),(19,1),(29,1),(31,1),(53,1),(54,1)}
      24:{4}:{(16,1)}
      25:{2,3,6}:{(16,1),(17,1),(20,1),(32,1)}
      26:{4,5}:{(18,1),(30,1),(33,1),(34,1)}
      27:{3,5,6}:{(18,1),(19,1),(20,1),(34,1)}
      28:{3,5}:{(21,1),(36,1),(37,1),(59,1)}
      29:{1,4,6}:{(21,1),(23,1),(37,1),(39,1)}
      30:{4}:{(22,1)}
      31:{2,3,5,6}:{(22,1),(23,1),(25,1),(27,1),(37,1),(39,1),(40,1),(41,1),(50,1),(51,1),(52,1)}
      32:{4,6}:{(24,1),(25,1),(40,1)}
      33:{2,5}:{(26,1),(38,1),(41,1)}
      34:{4,6}:{(26,1),(27,1),(41,1)}
      35:{1,3,5}:{(28,1),(42,1),(43,1),(54,1)}
      36:{3,4}:{(28,1),(30,1),(42,1),(44,1)}
      37:{3,6}:{(28,1),(29,1)}
      38:{2,4}:{(30,1),(33,1),(44,1)}
      39:{4,6}:{(30,1),(31,1),(47,1)}
      40:{5}:{(32,1)}
      41:{2,6}:{(33,1),(34,1)}
      42:{1,4}:{(35,1),(36,1),(48,1)}
      43:{1,3,6}:{(35,1),(37,1),(49,1),(59,1)}
      44:{2,3}:{(36,1),(38,1),(48,1)}
      45:{3,4,6}:{(36,1),(37,1),(39,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      46:{2,4,6}:{(38,1),(39,1),(41,1),(50,1),(52,1),(57,1)}
      47:{4,5}:{(39,1),(40,1),(51,1),(52,1),(57,1)}
      48:{1,2}:{(42,1),(44,1)}
      49:{1,4,6}:{(42,1),(43,1),(45,1),(53,1),(54,1),(58,1)}
      50:{2,3,6}:{(44,1),(45,1),(46,1),(53,1),(55,1)}
      51:{3,5}:{(45,1),(47,1),(54,1)}
      52:{2,5}:{(46,1),(47,1)}
      53:{1,2,6}:{(48,1),(49,1),(50,1),(56,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{2,3,5}:{(50,1),(51,1),(52,1),(56,1),(57,1),(59,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(55,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

340 :   0:{1,4,5,6}:{(2,1),(3,1),(14,1),(16,1),(44,1),(120,1),(127,1),(169,1)}
        1:{1,2,4,5}:{(4,1),(5,1),(21,1),(28,1),(48,1),(52,1),(55,1),(63,1),(98,1),(111,1),(153,1)}
        2:{1,2,5,6}:{(0,1),(4,1),(7,1),(25,1),(55,1),(63,1),(94,1)}
        3:{3,5,6}:{(0,1),(6,1),(65,1),(152,1)}
        4:{1,2,4,6}:{(1,1),(2,1),(9,1),(16,1),(34,1),(71,1),(77,1),(127,1)}
        5:{2,3,5}:{(1,1),(9,1),(11,1),(35,1),(126,1),(175,1)}
        6:{3,4,6}:{(3,1),(12,1),(13,1),(14,1),(16,1)}
        7:{2,3,5,6}:{(2,1),(3,1),(9,1),(13,1),(16,1),(35,1),(42,1),(86,1)}
        8:{1,3,5,6}:{(3,1),(14,1),(29,1),(169,1),(174,1)}
        9:{2,3,6}:{(4,1),(5,1),(20,1),(152,1)}
       10:{1,2,3,5}:{(5,1),(19,1),(21,1),(51,1),(52,1),(55,1),(57,1)}
       11:{3,4}:{(5,1),(21,1),(111,1)}
       12:{3,4,5}:{(6,1),(23,1),(24,1),(28,1),(65,1),(90,1),(111,1)}
       13:{2,3,6}:{(6,1),(23,1),(25,1),(26,1)}
       14:{1,4,6}:{(6,1),(8,1),(24,1),(25,1)}
       15:{1,2,3,5,6}:{(7,1),(8,1),(19,1),(25,1),(27,1),(46,1),(55,1),(62,1),(63,1),(65,1),(93,1),(100,1),(101,1),(105,1),(112,1),(142,1),(152,1),(156,1),(158,1),(199,1)}
       16:{4,6}:{(7,1),(28,1),(111,1)}
       17:{1,3,4,6}:{(14,1),(29,1),(30,1),(43,1),(67,1),(173,1),(174,1),(180,1)}
       18:{2,3,4}:{(11,1),(32,1),(33,1),(122,1),(137,1),(175,1)}
       19:{1,2,3,6}:{(9,1),(10,1),(34,1),(77,1),(80,1)}
       20:{3,4,6}:{(9,1),(11,1),(16,1),(34,1),(35,1)}
       21:{1,4}:{(10,1),(11,1)}
       22:{3,4,5}:{(11,1),(33,1),(35,1),(37,1),(38,1),(72,1),(122,1),(126,1),(172,1)}
       23:{2,3,5}:{(12,1),(13,1),(39,1),(40,1),(42,1),(83,1)}
       24:{1,4,5}:{(12,1),(14,1),(29,1),(39,1),(67,1)}
       25:{1,2,6}:{(13,1),(14,1),(39,1)}
       26:{2,4,6}:{(13,1),(16,1),(40,1),(42,1)}
       27:{1,4,6}:{(15,1),(16,1),(43,1),(44,1),(67,1),(128,1),(138,1)}
       28:{4,5}:{(16,1),(35,1),(42,1)}
       29:{1,3,5}:{(17,1),(24,1),(65,1),(199,1)}
       30:{1,2,3,6}:{(17,1),(25,1),(46,1),(47,1),(62,1),(142,1),(193,1)}
       31:{2,3,4,6}:{(18,1),(20,1),(26,1),(49,1),(50,1),(53,1),(59,1),(62,1),(99,1),(108,1),(111,1),(148,1),(151,1),(152,1),(160,1),(161,1),(191,1),(195,1),(219,1)}
       32:{1,2,4}:{(18,1),(21,1),(51,1),(52,1),(102,1)}
       33:{2,3,5}:{(18,1),(22,1),(48,1),(52,1),(53,1)}
       34:{1,4,6}:{(19,1),(20,1),(21,1),(55,1)}
       35:{3,5}:{(20,1),(28,1),(55,1)}
       36:{1,3,4}:{(21,1),(51,1),(57,1),(102,1),(151,1)}
       37:{1,4,5}:{(21,1),(22,1),(52,1),(55,1),(57,1),(58,1),(102,1),(155,1)}
       38:{3,4,6}:{(22,1),(53,1),(56,1),(58,1),(99,1),(152,1)}
       39:{1,2,5}:{(23,1),(24,1),(25,1),(60,1)}
       40:{2,4}:{(23,1),(111,1)}
       41:{1,2,4,6}:{(25,1),(26,1),(27,1),(60,1),(62,1),(63,1),(111,1),(153,1),(156,1),(161,1)}
       42:{2,5}:{(26,1),(28,1)}
       43:{3,4,6}:{(27,1),(62,1),(65,1),(90,1),(111,1),(142,1),(151,1),(152,1)}
       44:{1,4,5}:{(27,1),(28,1),(55,1),(63,1),(65,1),(111,1),(162,1),(199,1)}
       45:{4,5,6}:{(28,1),(56,1),(64,1),(99,1),(192,1)}
       46:{1,2,3,5}:{(29,1),(30,1),(39,1),(67,1),(69,1),(83,1),(86,1),(116,1)}
       47:{1,2,4,6}:{(30,1),(67,1),(68,1),(69,1),(117,1),(179,1),(180,1),(201,1)}
       48:{2,4,5}:{(33,1),(71,1),(72,1),(137,1),(183,1)}
       49:{1,2,4,6}:{(31,1),(32,1),(34,1),(73,1),(74,1),(77,1),(81,1),(127,1),(128,1),(130,1),(134,1),(180,1)}
       50:{2,3,5}:{(31,1),(35,1),(42,1),(72,1),(74,1),(126,1),(172,1),(182,1),(183,1),(207,1)}
       51:{1,2,3}:{(32,1),(36,1),(175,1)}
       52:{1,2,5}:{(32,1),(33,1),(37,1),(77,1)}
       53:{2,3,6}:{(33,1),(38,1),(71,1),(77,1)}
       54:{1,3,4,6}:{(34,1),(36,1),(43,1),(73,1),(78,1),(80,1),(115,1),(128,1),(130,1),(132,1),(164,1),(176,1),(180,1)}
       55:{1,5}:{(34,1),(35,1)}
       56:{3,5,6}:{(35,1),(38,1),(45,1),(79,1),(172,1)}
       57:{1,3,5}:{(36,1),(37,1),(80,1),(126,1)}
       58:{1,4,6}:{(37,1),(38,1),(77,1),(79,1),(80,1)}
       59:{2,3,4}:{(40,1),(81,1),(82,1),(83,1),(135,1),(223,1),(229,1)}
       60:{1,2,4}:{(39,1),(40,1),(67,1),(83,1)}
       61:{2,4,5}:{(40,1),(42,1),(72,1),(82,1),(85,1),(207,1),(223,1)}
       62:{2,3,6}:{(41,1),(43,1),(83,1),(86,1),(175,1)}
       63:{1,2,5}:{(41,1),(42,1),(44,1),(86,1),(183,1)}
       64:{2,5,6}:{(42,1),(45,1),(85,1),(207,1)}
       65:{3,5}:{(43,1),(44,1)}
       66:{1,4,5,6}:{(44,1),(45,1),(79,1),(87,1),(89,1),(117,1),(127,1),(132,1),(138,1),(168,1),(178,1),(202,1),(221,1)}
       67:{1,4}:{(46,1),(90,1),(111,1)}
       68:{2,3,4,6}:{(47,1),(62,1),(90,1),(92,1),(111,1),(142,1),(144,1),(159,1),(160,1),(161,1),(186,1)}
       69:{1,2,5}:{(47,1),(91,1),(92,1),(199,1)}
       70:{1,2,4,5}:{(48,1),(52,1),(95,1),(96,1),(98,1),(102,1),(153,1),(155,1),(192,1),(197,1),(219,1)}
       71:{2,4,6}:{(48,1),(53,1),(94,1),(99,1)}
       72:{4,5}:{(50,1),(99,1),(111,1),(219,1)}
       73:{1,2,3,6}:{(49,1),(51,1),(54,1),(62,1),(100,1),(106,1),(152,1),(156,1),(195,1)}
       74:{1,2,5}:{(49,1),(50,1),(55,1),(98,1),(155,1),(199,1)}
       75:{2,3,5,6}:{(50,1),(53,1),(56,1),(64,1),(94,1),(99,1),(101,1),(108,1),(145,1),(152,1)}
       76:{1,2,3,5}:{(51,1),(52,1),(57,1),(95,1),(102,1),(103,1),(155,1)}
       77:{1,2,6}:{(52,1),(53,1),(58,1)}
       78:{1,3,5}:{(54,1),(55,1),(65,1),(104,1),(155,1),(196,1),(199,1)}
       79:{1,5,6}:{(55,1),(56,1),(58,1),(155,1)}
       80:{1,3,6}:{(57,1),(58,1),(152,1)}
       81:{1,2,4}:{(59,1),(106,1),(107,1),(157,1)}
       82:{2,3,5}:{(59,1),(61,1),(97,1),(107,1),(108,1)}
       83:{2,3}:{(60,1),(90,1)}
       84:{1,2,4,5}:{(60,1),(61,1),(63,1),(91,1),(98,1),(107,1),(109,1),(110,1),(111,1),(143,1),(153,1),(157,1),(162,1),(184,1),(197,1),(199,1),(219,1),(220,1),(227,1)}
       85:{2,4,6}:{(61,1),(64,1),(99,1),(108,1)}
       86:{2,3,5}:{(62,1),(63,1),(65,1),(111,1)}
       87:{1,2,5,6}:{(63,1),(64,1),(66,1),(110,1),(112,1),(156,1),(188,1),(197,1),(199,1)}
       88:{3,4,5}:{(65,1),(104,1),(111,1),(113,1),(114,1),(151,1),(162,1),(196,1),(219,1)}
       89:{3,5,6}:{(65,1),(66,1),(114,1),(142,1),(152,1),(196,1),(226,1)}
       90:{3,4}:{(67,1),(83,1),(116,1)}
       91:{1,4,5}:{(67,1),(69,1),(116,1),(117,1),(118,1)}
       92:{2,3,5}:{(68,1),(69,1),(116,1),(118,1),(182,1),(183,1)}
       93:{1,2,5,6}:{(69,1),(117,1),(119,1),(201,1),(202,1)}
       94:{2,5,6}:{(71,1),(120,1),(183,1)}
       95:{2,3,5}:{(70,1),(122,1),(123,1),(126,1),(172,1),(175,1)}
       96:{1,2,4,6}:{(70,1),(71,1),(77,1),(121,1),(123,1),(127,1),(130,1),(171,1)}
       97:{3,4,5}:{(72,1),(82,1),(124,1),(125,1),(126,1),(135,1),(182,1)}
       98:{1,4,5}:{(72,1),(74,1),(126,1),(127,1),(128,1)}
       99:{4,6}:{(72,1),(75,1)}
      100:{1,2,3,5}:{(73,1),(74,1),(78,1),(86,1),(126,1),(128,1),(131,1),(175,1),(210,1)}
      101:{1,2,5,6}:{(74,1),(75,1),(77,1),(79,1),(127,1),(134,1),(169,1)}
      102:{1,4}:{(76,1),(122,1)}
      103:{1,2,3,6}:{(76,1),(77,1),(80,1),(123,1),(130,1)}
      104:{1,4,5}:{(78,1),(88,1),(128,1),(131,1),(132,1)}
      105:{1,3,5,6}:{(78,1),(79,1),(80,1),(89,1),(132,1),(164,1),(202,1)}
      106:{1,2,3}:{(81,1),(83,1),(115,1),(229,1)}
      107:{1,2,5}:{(81,1),(82,1),(124,1),(134,1)}
      108:{2,3,6}:{(82,1),(85,1),(125,1),(134,1)}
      109:{2,3,5}:{(83,1),(84,1),(116,1),(126,1),(135,1),(136,1),(175,1),(182,1),(225,1),(229,1)}
      110:{1,2,4,6}:{(84,1),(85,1),(87,1),(117,1),(127,1),(134,1),(136,1),(138,1),(167,1),(180,1),(201,1),(221,1)}
      111:{4}:{(86,1)}
      112:{2,3,5,6}:{(86,1),(87,1),(89,1),(136,1),(138,1),(139,1),(182,1),(183,1),(210,1)}
      113:{2,3,5}:{(88,1),(131,1),(137,1),(139,1),(175,1),(183,1)}
      114:{3,4,6}:{(88,1),(89,1),(132,1),(138,1),(139,1)}
      115:{1,3,4}:{(90,1),(106,1),(140,1),(157,1),(228,1)}
      116:{3,5}:{(90,1),(91,1),(142,1)}
      117:{1,4,6}:{(91,1),(93,1),(142,1),(144,1)}
      118:{4,5}:{(92,1),(111,1),(144,1)}
      119:{2,3,5,6}:{(92,1),(93,1),(142,1),(144,1),(186,1),(187,1),(188,1)}
      120:{4,5,6}:{(94,1),(99,1),(145,1),(162,1)}
      121:{1,2,5,6}:{(94,1),(96,1),(146,1),(147,1),(155,1),(197,1),(215,1)}
      122:{3,4}:{(95,1),(102,1),(219,1)}
      123:{2,3,6}:{(95,1),(96,1),(148,1),(152,1)}
      124:{1,4,5}:{(97,1),(107,1),(149,1),(150,1),(157,1),(199,1)}
      125:{3,4,6}:{(97,1),(99,1),(108,1),(145,1),(150,1),(152,1)}
      126:{3,5}:{(98,1),(151,1),(152,1)}
      127:{1,4,6}:{(98,1),(99,1),(101,1),(152,1)}
      128:{1,4}:{(100,1),(111,1),(151,1),(219,1)}
      129:{1,2,3,5,6}:{(100,1),(101,1),(103,1),(105,1),(112,1),(147,1),(152,1),(154,1),(155,1),(156,1),(158,1),(189,1),(195,1),(196,1),(197,1),(199,1),(213,1),(215,1),(218,1),(226,1)}
      130:{1,4,6}:{(102,1),(103,1),(148,1),(155,1)}
      131:{1,2,5}:{(104,1),(113,1),(153,1),(156,1)}
      132:{1,4,6}:{(104,1),(105,1),(114,1),(156,1)}
      133:{1,2,3,5}:{(106,1),(107,1),(109,1),(140,1),(149,1),(157,1),(158,1),(184,1),(193,1),(199,1)}
      134:{1,2,6}:{(107,1),(108,1),(150,1)}
      135:{3,4}:{(109,1),(111,1),(157,1),(219,1)}
      136:{2,3,6}:{(109,1),(110,1),(142,1),(152,1),(160,1),(226,1)}
      137:{2,4}:{(111,1),(113,1),(219,1)}
      138:{4,6}:{(111,1),(112,1),(162,1),(219,1)}
      139:{2,3,6}:{(113,1),(114,1),(156,1),(161,1)}
      140:{1,3,5}:{(115,1),(116,1),(163,1),(164,1),(225,1)}
      141:{3,4,5}:{(116,1),(118,1),(135,1),(163,1),(165,1),(166,1),(182,1),(212,1),(225,1)}
      142:{3,6}:{(116,1),(117,1)}
      143:{2,4,5}:{(118,1),(137,1),(165,1),(167,1),(183,1),(212,1)}
      144:{4,6}:{(118,1),(119,1)}
      145:{3,5,6}:{(120,1),(125,1),(169,1),(182,1)}
      146:{1,4,5,6}:{(120,1),(121,1),(127,1),(169,1),(170,1),(171,1),(178,1),(204,1)}
      147:{2,3,5,6}:{(121,1),(123,1),(170,1),(171,1),(172,1),(205,1),(207,1),(210,1)}
      148:{3,4,6}:{(122,1),(123,1),(130,1),(171,1),(172,1)}
      149:{1,3,5}:{(124,1),(126,1),(173,1),(174,1)}
      150:{1,4,6}:{(124,1),(125,1),(134,1),(169,1),(174,1)}
      151:{3,4}:{(126,1),(128,1),(175,1)}
      152:{3,6}:{(126,1),(127,1)}
      153:{1,2,4}:{(128,1),(131,1),(137,1),(175,1)}
      154:{1,4,6}:{(128,1),(129,1),(138,1),(171,1),(176,1),(178,1),(224,1)}
      155:{1,5}:{(130,1),(172,1)}
      156:{1,2,6}:{(131,1),(132,1),(139,1)}
      157:{1,4}:{(133,1),(135,1)}
      158:{1,2,3,6}:{(133,1),(134,1),(136,1),(164,1),(174,1),(180,1),(201,1)}
      159:{2,3,4}:{(135,1),(137,1),(165,1),(175,1),(179,1)}
      160:{3,4,6}:{(135,1),(136,1),(138,1),(180,1),(182,1)}
      161:{2,4,6}:{(137,1),(138,1),(139,1),(183,1)}
      162:{4,5}:{(138,1),(182,1),(183,1)}
      163:{1,4,5}:{(140,1),(141,1),(157,1),(184,1),(185,1),(199,1)}
      164:{1,3,6}:{(140,1),(142,1),(185,1),(226,1)}
      165:{2,3,5}:{(141,1),(143,1),(159,1),(184,1),(186,1)}
      166:{3,4,6}:{(141,1),(142,1),(144,1),(185,1),(186,1),(187,1),(214,1),(226,1)}
      167:{2,4,6}:{(143,1),(144,1),(186,1),(188,1),(214,1)}
      168:{4,5,6}:{(144,1),(162,1),(187,1),(188,1),(214,1)}
      169:{1,5,6}:{(145,1),(150,1),(199,1)}
      170:{3,5,6}:{(146,1),(152,1),(190,1),(196,1)}
      171:{4,6}:{(147,1),(192,1),(219,1)}
      172:{3,5}:{(148,1),(155,1),(192,1)}
      173:{1,3,4}:{(149,1),(151,1),(157,1),(193,1)}
      174:{1,3,6}:{(149,1),(150,1),(152,1)}
      175:{2,3}:{(151,1),(153,1)}
      176:{3,4,6}:{(151,1),(152,1),(154,1),(195,1),(196,1),(219,1),(226,1),(228,1)}
      177:{1,2,4,6}:{(153,1),(154,1),(156,1),(161,1),(191,1),(195,1),(197,1),(215,1),(219,1),(227,1)}
      178:{1,4,5}:{(154,1),(155,1),(162,1),(192,1),(196,1),(197,1),(199,1),(219,1)}
      179:{1,2,4}:{(157,1),(159,1),(184,1),(193,1)}
      180:{1,4,6}:{(157,1),(158,1),(160,1),(199,1)}
      181:{2,3,4,6}:{(159,1),(160,1),(161,1),(186,1),(195,1),(198,1),(200,1),(214,1),(219,1),(226,1),(228,1)}
      182:{3,5}:{(160,1),(162,1),(199,1)}
      183:{2,5}:{(161,1),(162,1)}
      184:{1,2,5}:{(163,1),(165,1),(179,1),(201,1)}
      185:{1,4,6}:{(163,1),(164,1),(166,1),(201,1),(202,1)}
      186:{2,3,6}:{(165,1),(166,1),(167,1),(201,1)}
      187:{3,5,6}:{(166,1),(168,1),(182,1),(202,1)}
      188:{2,5,6}:{(167,1),(168,1),(183,1)}
      189:{1,3,5,6}:{(169,1),(170,1),(174,1),(204,1),(209,1)}
      190:{3,4,6}:{(170,1),(171,1),(204,1),(205,1),(206,1)}
      191:{2,4,6}:{(171,1),(205,1),(207,1),(223,1)}
      192:{4,5}:{(171,1),(172,1),(207,1)}
      193:{1,2,3}:{(173,1),(175,1),(179,1)}
      194:{1,3,4,6}:{(173,1),(174,1),(176,1),(180,1),(204,1),(208,1),(209,1),(224,1)}
      195:{2,3,6}:{(175,1),(176,1),(177,1),(210,1),(229,1)}
      196:{3,5}:{(176,1),(178,1)}
      197:{1,2,5}:{(177,1),(178,1),(183,1),(207,1),(210,1)}
      198:{1,2,4,6}:{(179,1),(180,1),(181,1),(201,1),(208,1),(211,1),(221,1),(224,1)}
      199:{1,5}:{(180,1),(182,1)}
      200:{2,3,5}:{(181,1),(182,1),(183,1),(211,1),(212,1),(225,1)}
      201:{1,2,6}:{(184,1),(185,1),(186,1)}
      202:{1,5,6}:{(185,1),(187,1),(199,1)}
      203:{2,3,5,6}:{(186,1),(187,1),(188,1),(200,1),(213,1),(214,1),(226,1)}
      204:{1,4,6}:{(189,1),(190,1),(215,1),(216,1)}
      205:{2,3,6}:{(190,1),(191,1),(215,1),(217,1)}
      206:{3,4,5}:{(190,1),(192,1),(196,1),(216,1),(217,1),(219,1),(228,1)}
      207:{2,5}:{(191,1),(192,1)}
      208:{1,2,3,6}:{(193,1),(194,1),(195,1),(198,1),(215,1),(218,1),(226,1)}
      209:{1,3,5}:{(194,1),(196,1),(199,1),(216,1)}
      210:{2,3,5}:{(195,1),(196,1),(197,1),(219,1)}
      211:{1,2,5}:{(198,1),(199,1),(200,1),(220,1)}
      212:{4,5}:{(200,1),(214,1),(219,1)}
      213:{1,2,5,6}:{(201,1),(202,1),(203,1),(211,1),(221,1)}
      214:{4,6}:{(203,1),(212,1)}
      215:{1,2,6}:{(204,1),(205,1),(222,1)}
      216:{1,4,5}:{(204,1),(206,1),(209,1),(222,1),(224,1)}
      217:{2,3,5}:{(205,1),(206,1),(207,1),(222,1),(223,1),(229,1)}
      218:{1,2,3,5}:{(208,1),(209,1),(210,1),(211,1),(222,1),(224,1),(225,1),(229,1)}
      219:{4}:{(210,1)}
      220:{1,4,5}:{(211,1),(212,1),(221,1),(224,1),(225,1)}
      221:{1,4,6}:{(213,1),(214,1),(220,1),(226,1)}
      222:{1,2,5}:{(215,1),(216,1),(217,1),(227,1)}
      223:{2,4}:{(217,1),(219,1)}
      224:{1,4}:{(218,1),(219,1),(228,1)}
      225:{3,5}:{(220,1),(226,1),(228,1)}
      226:{3,6}:{(221,1),(225,1)}
      227:{1,2,4}:{(222,1),(223,1),(224,1),(229,1)}
      228:{3,4}:{(224,1),(225,1),(229,1)}
      229:{2,3}:{(227,1),(228,1)}

341 :   0:{2,3,4,6}:{(2,1),(4,1),(6,1),(7,1),(29,1),(35,1),(40,1),(86,1),(90,1),(91,1),(96,1),(136,1),(156,1),(197,1),(214,1)}
        1:{4,5,6}:{(8,1),(9,1),(40,1),(198,1)}
        2:{2,3,4}:{(11,1),(12,1),(102,1),(130,1),(189,1)}
        3:{3,4,5}:{(12,1),(13,1),(14,1),(19,1),(62,1),(102,1),(169,1)}
        4:{2,3,4}:{(15,1),(16,1),(58,1),(237,1),(267,1)}
        5:{2,4,5}:{(16,1),(18,1),(19,1),(223,1),(237,1)}
        6:{1,2,4,6}:{(0,1),(11,1),(15,1),(20,1),(21,1),(50,1),(57,1),(63,1),(64,1),(105,1),(114,1)}
        7:{2,3,5}:{(0,1),(19,1),(21,1),(62,1),(118,1),(129,1),(169,1),(223,1)}
        8:{3,5,6}:{(1,1),(14,1),(23,1),(169,1)}
        9:{2,5,6}:{(1,1),(18,1),(223,1)}
       10:{1,4,5,6}:{(1,1),(23,1),(24,1),(25,1),(63,1),(66,1),(67,1),(126,1),(227,1),(228,1),(265,1)}
       11:{1,2,4}:{(2,1),(27,1),(28,1),(74,1)}
       12:{2,3,5}:{(2,1),(3,1),(26,1),(28,1),(29,1)}
       13:{1,4,5}:{(3,1),(28,1),(30,1),(31,1),(74,1),(138,1)}
       14:{3,4,6}:{(3,1),(8,1),(29,1),(31,1),(40,1),(91,1)}
       15:{1,2,4}:{(4,1),(33,1),(34,1),(82,1)}
       16:{2,3,5}:{(4,1),(5,1),(32,1),(34,1),(35,1)}
       17:{1,2,4,5}:{(5,1),(34,1),(36,1),(37,1),(39,1),(82,1),(92,1),(97,1),(140,1),(141,1),(147,1),(158,1),(207,1),(214,1),(250,1)}
       18:{2,4,6}:{(5,1),(9,1),(35,1),(40,1)}
       19:{4,5}:{(7,1),(40,1),(214,1)}
       20:{1,2,3,6}:{(6,1),(27,1),(33,1),(38,1),(41,1),(91,1),(153,1),(156,1)}
       21:{1,2,5}:{(6,1),(7,1),(39,1),(138,1),(147,1)}
       22:{2,3,5,6}:{(7,1),(8,1),(9,1),(29,1),(35,1),(40,1),(42,1),(71,1),(79,1),(91,1)}
       23:{1,5,6}:{(8,1),(31,1),(138,1)}
       24:{1,2,5,6}:{(9,1),(10,1),(37,1),(44,1),(94,1),(147,1),(158,1),(202,1)}
       25:{3,5,6}:{(10,1),(45,1),(91,1),(157,1),(249,1)}
       26:{2,4,5}:{(12,1),(19,1),(48,1),(129,1),(130,1)}
       27:{1,2,3}:{(11,1),(46,1),(189,1)}
       28:{1,2,5}:{(11,1),(12,1),(13,1),(50,1)}
       29:{2,3,6}:{(12,1),(14,1),(48,1),(50,1)}
       30:{1,3,5}:{(13,1),(51,1),(52,1),(62,1)}
       31:{1,4,6}:{(13,1),(14,1),(23,1),(50,1),(52,1)}
       32:{3,4,5}:{(16,1),(19,1),(54,1),(55,1),(58,1),(62,1),(118,1)}
       33:{1,2,3}:{(15,1),(53,1),(267,1)}
       34:{1,2,5}:{(15,1),(16,1),(54,1),(57,1)}
       35:{2,3,6}:{(16,1),(18,1),(55,1),(57,1)}
       36:{2,3,5}:{(17,1),(58,1),(59,1),(62,1),(118,1),(123,1),(231,1),(267,1)}
       37:{1,2,4,6}:{(17,1),(18,1),(24,1),(57,1),(59,1),(63,1),(67,1),(114,1),(172,1),(173,1),(228,1)}
       38:{1,3,4,6}:{(20,1),(46,1),(53,1),(60,1),(64,1),(100,1),(105,1),(109,1),(114,1),(121,1),(124,1)}
       39:{1,4,5}:{(19,1),(21,1),(62,1),(63,1),(64,1)}
       40:{4,6}:{(19,1),(22,1)}
       41:{1,2,3,5}:{(20,1),(21,1),(60,1),(62,1),(64,1),(120,1),(123,1),(187,1)}
       42:{1,2,5,6}:{(21,1),(22,1),(23,1),(50,1),(57,1),(63,1),(110,1)}
       43:{1,3,5,6}:{(23,1),(25,1),(52,1),(66,1),(107,1),(265,1),(266,1)}
       44:{2,3,5,6}:{(24,1),(25,1),(59,1),(67,1),(68,1),(118,1),(129,1),(187,1)}
       45:{3,4,6}:{(25,1),(66,1),(67,1),(68,1),(69,1)}
       46:{1,3,4}:{(27,1),(70,1),(74,1),(201,1)}
       47:{1,2,4,5}:{(26,1),(28,1),(39,1),(72,1),(73,1),(74,1),(92,1),(132,1),(138,1),(158,1),(159,1),(193,1),(198,1),(200,1),(214,1)}
       48:{2,4,6}:{(26,1),(29,1),(40,1),(71,1)}
       49:{1,2,3,5}:{(27,1),(28,1),(30,1),(70,1),(72,1),(74,1),(75,1),(76,1),(132,1),(138,1)}
       50:{1,2,6}:{(28,1),(29,1),(31,1)}
       51:{1,3,4}:{(30,1),(74,1),(76,1),(90,1)}
       52:{1,3,6}:{(30,1),(31,1),(91,1)}
       53:{1,3,4}:{(33,1),(78,1),(82,1),(251,1)}
       54:{1,4,5}:{(32,1),(34,1),(80,1),(81,1),(82,1),(147,1)}
       55:{3,4,6}:{(32,1),(35,1),(40,1),(79,1),(81,1),(91,1)}
       56:{1,2,3,5}:{(33,1),(34,1),(36,1),(78,1),(80,1),(82,1),(83,1),(141,1),(144,1),(147,1)}
       57:{1,2,6}:{(34,1),(35,1),(81,1)}
       58:{3,4}:{(36,1),(82,1),(214,1)}
       59:{2,3,6}:{(36,1),(37,1),(86,1),(91,1),(249,1)}
       60:{1,3,5}:{(38,1),(87,1),(138,1),(147,1),(157,1)}
       61:{4,5,6}:{(40,1),(71,1),(79,1),(97,1)}
       62:{3,5}:{(39,1),(90,1),(91,1)}
       63:{1,4,6}:{(39,1),(40,1),(42,1),(91,1)}
       64:{1,4}:{(41,1),(90,1),(214,1)}
       65:{1,2,3,5,6}:{(41,1),(42,1),(43,1),(44,1),(75,1),(83,1),(88,1),(91,1),(93,1),(94,1),(134,1),(138,1),(139,1),(143,1),(147,1),(153,1),(156,1),(157,1),(158,1),(196,1),(203,1),(204,1),(206,1),(211,1),(244,1),(249,1),(256,1),(277,1)}
       66:{1,4,6}:{(43,1),(45,1),(94,1),(95,1)}
       67:{4,6}:{(44,1),(97,1),(214,1)}
       68:{2,3,6}:{(45,1),(94,1),(96,1),(98,1)}
       69:{3,4,5}:{(45,1),(95,1),(97,1),(98,1),(157,1),(201,1),(214,1)}
       70:{1,3,5}:{(46,1),(99,1),(100,1),(225,1)}
       71:{2,5,6}:{(48,1),(61,1),(129,1)}
       72:{2,3,5}:{(47,1),(62,1),(102,1),(103,1),(123,1),(169,1),(189,1),(225,1)}
       73:{1,2,4,6}:{(47,1),(48,1),(50,1),(63,1),(101,1),(103,1),(105,1),(165,1),(167,1),(219,1),(222,1)}
       74:{1,4}:{(49,1),(102,1)}
       75:{1,2,3,6}:{(49,1),(50,1),(52,1),(100,1),(103,1),(105,1),(165,1)}
       76:{1,2,3}:{(51,1),(104,1),(123,1)}
       77:{1,3,4,6}:{(51,1),(52,1),(66,1),(105,1),(106,1),(107,1),(124,1),(171,1),(266,1),(268,1),(270,1)}
       78:{1,3,5}:{(53,1),(108,1),(109,1),(231,1)}
       79:{3,5,6}:{(55,1),(61,1),(110,1),(118,1)}
       80:{1,3,5}:{(54,1),(62,1),(111,1),(112,1)}
       81:{1,4,6}:{(54,1),(55,1),(57,1),(110,1),(112,1)}
       82:{1,4}:{(56,1),(58,1)}
       83:{1,2,3,6}:{(56,1),(57,1),(59,1),(109,1),(112,1),(114,1),(173,1)}
       84:{3,4,5}:{(58,1),(108,1),(115,1),(116,1),(118,1),(180,1),(231,1)}
       85:{2,3,4}:{(58,1),(113,1),(115,1),(123,1),(181,1)}
       86:{3,4,6}:{(58,1),(59,1),(67,1),(114,1),(118,1)}
       87:{1,4,5}:{(60,1),(64,1),(119,1),(120,1),(121,1)}
       88:{1,3,5,6}:{(60,1),(100,1),(109,1),(121,1),(166,1),(174,1),(183,1)}
       89:{1,4,5,6}:{(61,1),(63,1),(101,1),(110,1),(122,1),(126,1),(167,1),(175,1),(222,1),(259,1),(278,1)}
       90:{3,4}:{(62,1),(64,1),(123,1)}
       91:{3,6}:{(62,1),(63,1)}
       92:{1,2,4}:{(64,1),(120,1),(123,1),(181,1)}
       93:{1,4,6}:{(64,1),(65,1),(67,1),(124,1),(126,1),(167,1),(171,1),(230,1),(235,1)}
       94:{1,2,6}:{(66,1),(68,1),(127,1)}
       95:{1,4,5}:{(66,1),(69,1),(107,1),(127,1),(171,1)}
       96:{2,4,6}:{(67,1),(68,1),(129,1),(130,1)}
       97:{4,5}:{(67,1),(118,1),(129,1)}
       98:{2,3,5}:{(68,1),(69,1),(127,1),(129,1),(130,1),(189,1)}
       99:{1,4,5}:{(70,1),(74,1),(131,1),(132,1),(133,1),(138,1)}
      100:{1,3,6}:{(70,1),(133,1),(244,1)}
      101:{1,2,5,6}:{(71,1),(73,1),(89,1),(134,1),(138,1),(158,1),(204,1),(241,1)}
      102:{3,4}:{(72,1),(74,1),(214,1)}
      103:{2,3,6}:{(72,1),(73,1),(91,1),(136,1),(244,1)}
      104:{1,2,4}:{(74,1),(76,1),(132,1),(135,1)}
      105:{1,4,6}:{(74,1),(75,1),(136,1),(138,1)}
      106:{1,2,3,6}:{(76,1),(77,1),(94,1),(137,1),(139,1),(156,1),(244,1),(276,1)}
      107:{1,3,5}:{(77,1),(95,1),(138,1),(157,1),(277,1)}
      108:{1,4,5}:{(78,1),(82,1),(84,1),(141,1),(142,1),(147,1)}
      109:{1,3,6}:{(78,1),(142,1),(249,1)}
      110:{1,5,6}:{(79,1),(81,1),(147,1)}
      111:{1,3,4}:{(80,1),(82,1),(90,1),(144,1)}
      112:{1,3,6}:{(80,1),(81,1),(91,1)}
      113:{1,2,4}:{(82,1),(85,1),(141,1),(144,1)}
      114:{1,4,6}:{(82,1),(83,1),(86,1),(147,1)}
      115:{2,3,5}:{(84,1),(85,1),(140,1),(141,1),(148,1)}
      116:{3,4,6}:{(84,1),(142,1),(148,1),(149,1),(208,1),(249,1)}
      117:{2,3,4,6}:{(85,1),(86,1),(96,1),(146,1),(148,1),(150,1),(156,1),(162,1),(208,1),(210,1),(214,1),(217,1),(249,1),(251,1),(255,1)}
      118:{3,5}:{(86,1),(97,1),(147,1)}
      119:{3,4,5}:{(87,1),(90,1),(151,1),(152,1),(157,1),(214,1),(254,1)}
      120:{1,2,5}:{(87,1),(92,1),(151,1),(153,1)}
      121:{1,4,6}:{(87,1),(88,1),(152,1),(153,1)}
      122:{3,5,6}:{(89,1),(91,1),(155,1),(157,1),(244,1)}
      123:{2,3}:{(90,1),(92,1)}
      124:{3,4,6}:{(90,1),(91,1),(93,1),(156,1),(157,1),(201,1),(214,1),(244,1),(249,1),(251,1)}
      125:{1,2,4,6}:{(92,1),(93,1),(94,1),(96,1),(153,1),(156,1),(158,1),(159,1),(197,1),(204,1),(210,1),(214,1),(250,1)}
      126:{1,4,5}:{(93,1),(97,1),(138,1),(147,1),(157,1),(158,1),(198,1),(214,1),(254,1),(277,1)}
      127:{1,2,5}:{(94,1),(95,1),(98,1),(159,1)}
      128:{4,5,6}:{(97,1),(149,1),(160,1),(208,1)}
      129:{2,5}:{(96,1),(97,1)}
      130:{2,4}:{(98,1),(214,1)}
      131:{3,4,5}:{(99,1),(102,1),(163,1),(164,1),(169,1),(224,1),(225,1)}
      132:{1,2,5}:{(99,1),(104,1),(163,1),(165,1)}
      133:{1,4,6}:{(99,1),(100,1),(164,1),(165,1),(166,1)}
      134:{2,3,5,6}:{(101,1),(103,1),(122,1),(167,1),(169,1),(185,1),(187,1),(223,1)}
      135:{2,3,4}:{(102,1),(104,1),(123,1),(163,1),(181,1)}
      136:{3,4,6}:{(102,1),(103,1),(105,1),(167,1),(169,1)}
      137:{1,2,4,6}:{(104,1),(105,1),(106,1),(165,1),(168,1),(170,1),(171,1),(222,1),(270,1),(271,1),(279,1)}
      138:{1,5}:{(105,1),(169,1)}
      139:{1,2,3,5}:{(106,1),(107,1),(127,1),(170,1),(171,1),(187,1),(189,1),(225,1)}
      140:{2,4,5}:{(115,1),(172,1),(180,1),(181,1),(234,1)}
      141:{1,2,5}:{(108,1),(113,1),(115,1),(173,1)}
      142:{1,4,6}:{(108,1),(109,1),(116,1),(173,1),(174,1)}
      143:{1,3,5,6}:{(110,1),(112,1),(122,1),(175,1),(177,1),(262,1),(278,1)}
      144:{1,2,3}:{(111,1),(113,1),(123,1)}
      145:{1,3,4,6}:{(111,1),(112,1),(114,1),(124,1),(175,1),(176,1),(177,1),(226,1),(230,1),(262,1),(270,1)}
      146:{1,2,4,6}:{(113,1),(114,1),(117,1),(173,1),(176,1),(178,1),(192,1),(228,1),(230,1),(240,1),(270,1)}
      147:{1,5}:{(114,1),(118,1)}
      148:{2,3,6}:{(115,1),(116,1),(172,1),(173,1)}
      149:{3,5,6}:{(116,1),(118,1),(128,1),(174,1)}
      150:{2,3,5}:{(117,1),(118,1),(129,1),(178,1),(180,1),(231,1),(234,1),(269,1)}
      151:{2,3,5}:{(119,1),(120,1),(123,1),(181,1),(182,1),(234,1)}
      152:{3,4,6}:{(119,1),(121,1),(182,1),(183,1),(235,1)}
      153:{1,2,6}:{(120,1),(121,1),(182,1)}
      154:{1,4,5,6}:{(121,1),(126,1),(128,1),(166,1),(174,1),(183,1),(184,1),(220,1),(222,1),(228,1),(235,1)}
      155:{3,4,6}:{(122,1),(167,1),(175,1),(185,1),(186,1)}
      156:{2,3,6}:{(123,1),(124,1),(125,1),(187,1),(189,1),(267,1)}
      157:{3,5}:{(124,1),(126,1)}
      158:{1,2,5}:{(125,1),(126,1),(129,1),(187,1),(223,1),(234,1)}
      159:{1,2,4}:{(127,1),(130,1),(171,1),(189,1)}
      160:{2,5,6}:{(128,1),(129,1),(190,1)}
      161:{2,4,5}:{(129,1),(130,1),(180,1),(190,1),(191,1)}
      162:{2,3,4}:{(130,1),(189,1),(191,1),(192,1),(238,1)}
      163:{2,3,5}:{(131,1),(132,1),(135,1),(193,1),(194,1)}
      164:{3,4,6}:{(131,1),(133,1),(194,1),(195,1),(243,1),(244,1)}
      165:{1,2,6}:{(132,1),(133,1),(194,1)}
      166:{1,5,6}:{(133,1),(138,1),(195,1)}
      167:{4,6}:{(134,1),(198,1),(214,1)}
      168:{2,3,4,6}:{(135,1),(136,1),(137,1),(156,1),(194,1),(197,1),(199,1),(201,1),(210,1),(214,1),(243,1),(244,1),(255,1),(257,1),(273,1)}
      169:{3,5}:{(136,1),(138,1),(198,1)}
      170:{1,2,5}:{(137,1),(138,1),(199,1),(200,1),(277,1)}
      171:{1,4}:{(139,1),(201,1),(214,1)}
      172:{2,4,6}:{(140,1),(148,1),(202,1),(208,1)}
      173:{1,2,6}:{(141,1),(142,1),(148,1)}
      174:{1,5,6}:{(142,1),(147,1),(149,1)}
      175:{1,4,6}:{(143,1),(155,1),(204,1),(205,1)}
      176:{1,2,3,6}:{(144,1),(145,1),(146,1),(156,1),(204,1),(206,1),(216,1),(249,1)}
      177:{1,3,5}:{(145,1),(147,1),(157,1),(205,1),(277,1)}
      178:{1,2,5}:{(146,1),(147,1),(150,1),(207,1),(277,1)}
      179:{2,3,5,6}:{(148,1),(149,1),(150,1),(160,1),(202,1),(203,1),(208,1),(217,1),(248,1),(249,1)}
      180:{4,5}:{(150,1),(208,1),(214,1)}
      181:{2,4}:{(151,1),(214,1)}
      182:{2,3,6}:{(151,1),(152,1),(153,1),(210,1)}
      183:{3,5,6}:{(152,1),(154,1),(157,1),(244,1),(249,1)}
      184:{1,2,5,6}:{(153,1),(154,1),(158,1),(160,1),(211,1),(212,1),(242,1),(277,1)}
      185:{2,3,6}:{(155,1),(197,1),(204,1),(213,1)}
      186:{3,4,5}:{(155,1),(157,1),(198,1),(205,1),(213,1),(214,1),(251,1)}
      187:{2,3,5}:{(156,1),(157,1),(158,1),(214,1)}
      188:{1,2,4,5}:{(158,1),(159,1),(161,1),(200,1),(207,1),(212,1),(214,1),(215,1),(218,1),(245,1),(250,1),(254,1),(258,1),(275,1),(277,1)}
      189:{2,3}:{(159,1),(201,1)}
      190:{2,4,6}:{(160,1),(161,1),(208,1),(217,1)}
      191:{2,3,5}:{(161,1),(162,1),(209,1),(217,1),(218,1)}
      192:{1,2,4}:{(162,1),(216,1),(218,1),(258,1)}
      193:{2,4,5}:{(163,1),(181,1),(219,1),(224,1),(234,1)}
      194:{2,3,6}:{(163,1),(164,1),(165,1),(219,1)}
      195:{3,5,6}:{(164,1),(166,1),(169,1),(220,1)}
      196:{1,2,5,6}:{(165,1),(166,1),(170,1),(221,1),(222,1),(278,1),(279,1)}
      197:{2,4,6}:{(167,1),(185,1),(223,1),(237,1)}
      198:{4,5}:{(167,1),(169,1),(223,1)}
      199:{2,3,5}:{(168,1),(169,1),(170,1),(223,1),(224,1),(225,1),(234,1),(269,1)}
      200:{1,4,5}:{(170,1),(171,1),(222,1),(224,1),(225,1)}
      201:{3,4}:{(171,1),(189,1),(225,1)}
      202:{2,5,6}:{(172,1),(227,1),(234,1)}
      203:{1,2,5,6}:{(173,1),(174,1),(178,1),(179,1),(228,1),(240,1),(265,1)}
      204:{1,2,6}:{(175,1),(185,1),(229,1)}
      205:{1,4,5}:{(175,1),(177,1),(186,1),(229,1),(230,1)}
      206:{1,2,3,5}:{(176,1),(177,1),(178,1),(187,1),(229,1),(230,1),(231,1),(267,1)}
      207:{1,4,5}:{(178,1),(180,1),(228,1),(230,1),(231,1)}
      208:{4,6}:{(179,1),(180,1)}
      209:{3,4,5}:{(180,1),(191,1),(231,1),(232,1),(233,1),(238,1),(269,1)}
      210:{2,4,6}:{(181,1),(182,1),(234,1),(235,1)}
      211:{2,3,5,6}:{(182,1),(183,1),(184,1),(187,1),(234,1),(235,1),(236,1),(269,1)}
      212:{1,2,4,6}:{(184,1),(188,1),(190,1),(222,1),(228,1),(235,1),(236,1),(240,1),(260,1),(270,1),(279,1)}
      213:{2,3,5}:{(185,1),(186,1),(223,1),(229,1),(237,1),(267,1)}
      214:{4}:{(187,1)}
      215:{2,3,5}:{(188,1),(189,1),(225,1),(231,1),(236,1),(238,1),(267,1),(269,1)}
      216:{1,2,3}:{(189,1),(192,1),(226,1)}
      217:{2,3,6}:{(190,1),(191,1),(232,1),(240,1)}
      218:{1,2,5}:{(191,1),(192,1),(233,1),(240,1)}
      219:{2,4,6}:{(193,1),(194,1),(241,1),(243,1)}
      220:{4,5,6}:{(195,1),(198,1),(242,1),(243,1)}
      221:{2,3,5,6}:{(194,1),(195,1),(196,1),(199,1),(241,1),(242,1),(243,1),(244,1),(272,1),(273,1)}
      222:{1,4,6}:{(196,1),(200,1),(243,1),(244,1)}
      223:{2,5}:{(197,1),(198,1)}
      224:{4,5}:{(199,1),(214,1),(243,1)}
      225:{3,5}:{(200,1),(201,1),(244,1)}
      226:{1,3,4}:{(201,1),(216,1),(247,1),(258,1)}
      227:{4,5,6}:{(202,1),(208,1),(248,1),(254,1)}
      228:{1,4,6}:{(203,1),(207,1),(208,1),(249,1)}
      229:{1,2,5}:{(204,1),(205,1),(213,1),(250,1)}
      230:{1,4}:{(206,1),(214,1),(251,1)}
      231:{3,5}:{(207,1),(249,1),(251,1)}
      232:{3,4,6}:{(208,1),(209,1),(217,1),(248,1),(249,1),(253,1)}
      233:{1,4,5}:{(209,1),(218,1),(252,1),(253,1),(258,1),(277,1)}
      234:{2,5}:{(210,1),(254,1)}
      235:{4,6}:{(211,1),(214,1),(254,1)}
      236:{2,3,6}:{(212,1),(215,1),(244,1),(249,1),(255,1)}
      237:{2,4}:{(213,1),(214,1)}
      238:{3,4}:{(214,1),(215,1),(258,1)}
      239:{1,2,3,5}:{(215,1),(216,1),(218,1),(247,1),(252,1),(256,1),(258,1),(275,1),(276,1),(277,1)}
      240:{1,2,6}:{(217,1),(218,1),(253,1)}
      241:{2,5,6}:{(219,1),(234,1),(259,1)}
      242:{2,5,6}:{(220,1),(223,1),(260,1)}
      243:{4,6}:{(221,1),(224,1)}
      244:{3,6}:{(222,1),(225,1)}
      245:{2,4,5}:{(223,1),(224,1),(237,1),(260,1),(263,1)}
      246:{3,4,5}:{(224,1),(225,1),(238,1),(261,1),(263,1),(264,1),(269,1)}
      247:{1,3,5}:{(225,1),(226,1),(262,1),(264,1)}
      248:{3,5,6}:{(227,1),(232,1),(265,1),(269,1)}
      249:{3,6}:{(228,1),(231,1)}
      250:{1,2,4}:{(229,1),(230,1),(237,1),(267,1)}
      251:{3,4}:{(230,1),(231,1),(267,1)}
      252:{1,3,5}:{(231,1),(233,1),(266,1),(268,1)}
      253:{1,4,6}:{(232,1),(233,1),(240,1),(265,1),(266,1)}
      254:{4,5}:{(234,1),(235,1),(269,1)}
      255:{3,4,6}:{(235,1),(236,1),(238,1),(269,1),(270,1)}
      256:{1,2,3,6}:{(236,1),(239,1),(240,1),(262,1),(266,1),(270,1),(279,1)}
      257:{2,3,4}:{(237,1),(238,1),(263,1),(267,1),(271,1)}
      258:{1,4}:{(238,1),(239,1)}
      259:{4,5,6}:{(241,1),(243,1),(254,1),(272,1)}
      260:{2,4,6}:{(242,1),(243,1),(245,1),(273,1)}
      261:{3,4,6}:{(243,1),(244,1),(246,1),(272,1),(273,1),(274,1)}
      262:{1,3,6}:{(244,1),(247,1),(274,1)}
      263:{2,3,5}:{(245,1),(246,1),(257,1),(273,1),(275,1)}
      264:{1,4,5}:{(246,1),(247,1),(258,1),(274,1),(275,1),(277,1)}
      265:{1,5,6}:{(248,1),(253,1),(277,1)}
      266:{1,3,6}:{(249,1),(252,1),(253,1)}
      267:{2,3}:{(250,1),(251,1)}
      268:{1,3,4}:{(251,1),(252,1),(258,1),(276,1)}
      269:{3,5}:{(254,1),(255,1),(277,1)}
      270:{1,4,6}:{(255,1),(256,1),(258,1),(277,1)}
      271:{1,2,4}:{(257,1),(258,1),(275,1),(276,1)}
      272:{3,5,6}:{(259,1),(261,1),(269,1),(278,1)}
      273:{2,3,6}:{(260,1),(261,1),(263,1),(279,1)}
      274:{1,4,6}:{(261,1),(262,1),(264,1),(278,1),(279,1)}
      275:{1,2,5}:{(263,1),(264,1),(271,1),(279,1)}
      276:{1,2,3}:{(267,1),(268,1),(271,1)}
      277:{1,5}:{(269,1),(270,1)}
      278:{1,5,6}:{(272,1),(274,1),(277,1)}
      279:{1,2,6}:{(273,1),(274,1),(275,1)}

342 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

343 :  0:{1,3,4,5}:{(1,1),(2,1),(26,1),(29,1)}
       1:{1,3,4,6}:{(0,1),(4,1),(5,1),(16,1),(43,1),(76,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(18,1),(19,1)}
       3:{3,4,5,6}:{(7,1),(8,1),(25,1),(45,1)}
       4:{1,3,5,6}:{(1,1),(8,1),(55,1),(68,1)}
       5:{1,2,3,6}:{(1,1),(2,1),(10,1),(30,1),(80,1)}
       6:{1,2,4}:{(2,1),(11,1)}
       7:{2,3,5,6}:{(3,1),(14,1),(15,1),(34,1),(36,1)}
       8:{1,4,5,6}:{(3,1),(4,1),(14,1),(16,1),(57,1),(67,1)}
       9:{1,2,3,5,6}:{(4,1),(5,1),(14,1),(16,1),(18,1),(36,1),(39,1),(42,1),(59,1),(62,1),(79,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(16,1),(17,1),(18,1),(78,1),(79,1)}
      11:{2,3,4}:{(6,1),(19,1)}
      12:{1,2,4,5}:{(6,1),(18,1),(19,1),(20,1),(31,1),(41,1)}
      13:{1,2,3,4}:{(11,1),(21,1)}
      14:{1,2,5,6}:{(7,1),(8,1),(23,1),(47,1),(75,1)}
      15:{2,4,6}:{(7,1),(24,1)}
      16:{1,4,6}:{(9,1),(25,1),(26,1),(54,1),(70,1)}
      17:{2,3,4,6}:{(10,1),(11,1),(25,1),(27,1),(30,1),(54,1),(73,1),(74,1)}
      18:{1,2,5}:{(10,1),(26,1),(27,1)}
      19:{2,3,5}:{(11,1),(12,1),(29,1),(30,1)}
      20:{1,2,4,6}:{(12,1),(28,1),(30,1),(44,1),(54,1)}
      21:{1,2,3,5}:{(13,1),(19,1),(31,1),(32,1)}
      22:{2,3,4,6}:{(15,1),(33,1),(34,1),(36,1),(58,1),(63,1)}
      23:{1,2,4,6}:{(14,1),(15,1),(16,1),(36,1),(37,1),(66,1),(79,1)}
      24:{2,4,5}:{(15,1),(34,1)}
      25:{3,4,6}:{(16,1),(36,1),(39,1),(63,1)}
      26:{1,4,5}:{(16,1),(18,1),(39,1),(41,1)}
      27:{2,3,5}:{(17,1),(18,1),(39,1),(41,1)}
      28:{1,2,5,6}:{(18,1),(20,1),(40,1),(42,1),(56,1),(79,1)}
      29:{3,4,5}:{(19,1),(31,1),(41,1),(43,1)}
      30:{2,3,6}:{(19,1),(20,1),(43,1)}
      31:{1,4,5}:{(21,1),(29,1),(44,1)}
      32:{1,2,3,6}:{(21,1),(30,1),(44,1)}
      33:{1,2,4,6}:{(22,1),(46,1),(47,1),(69,1),(70,1)}
      34:{2,3,5}:{(22,1),(24,1),(45,1),(47,1)}
      35:{1,3,4,6}:{(25,1),(46,1),(49,1),(70,1),(72,1)}
      36:{2,3,6}:{(23,1),(25,1),(50,1)}
      37:{1,2,4,5}:{(23,1),(24,1),(26,1),(47,1),(50,1),(53,1),(70,1),(71,1)}
      38:{2,4,5,6}:{(24,1),(48,1)}
      39:{3,5}:{(25,1),(26,1)}
      40:{1,4,5,6}:{(26,1),(28,1),(52,1),(54,1),(72,1)}
      41:{4,5}:{(27,1),(54,1)}
      42:{2,3,5,6}:{(27,1),(28,1),(30,1),(52,1),(54,1),(55,1),(74,1),(75,1)}
      43:{3,4,6}:{(29,1),(30,1),(44,1),(54,1),(55,1)}
      44:{1,4,6}:{(31,1),(32,1),(43,1),(56,1)}
      45:{3,4,5}:{(34,1),(57,1),(58,1),(63,1)}
      46:{1,2,3,6}:{(33,1),(35,1),(36,1),(59,1),(77,1),(79,1)}
      47:{1,2,5}:{(33,1),(34,1),(57,1)}
      48:{2,3,5,6}:{(34,1),(38,1),(58,1),(60,1)}
      49:{1,3,5}:{(35,1),(39,1),(61,1)}
      50:{2,3,5}:{(36,1),(37,1),(39,1),(63,1)}
      51:{3,4,5}:{(39,1),(41,1),(61,1),(63,1),(64,1),(65,1)}
      52:{3,5,6}:{(39,1),(40,1),(65,1)}
      53:{2,4,5}:{(41,1),(64,1),(66,1)}
      54:{4,6}:{(41,1),(42,1)}
      55:{3,5,6}:{(43,1),(56,1),(67,1)}
      56:{1,5,6}:{(44,1),(55,1)}
      57:{1,4,5}:{(45,1),(47,1),(68,1),(69,1),(70,1)}
      58:{3,4,6}:{(45,1),(48,1),(69,1)}
      59:{1,2,3,5}:{(46,1),(47,1),(49,1),(50,1),(68,1),(70,1),(71,1),(80,1)}
      60:{1,2,5,6}:{(47,1),(48,1),(69,1)}
      61:{1,4,5}:{(49,1),(51,1),(70,1),(71,1),(72,1)}
      62:{1,3,5,6}:{(49,1),(52,1),(72,1)}
      63:{3,4}:{(50,1),(70,1)}
      64:{2,3,5}:{(51,1),(53,1),(71,1),(73,1),(74,1)}
      65:{3,4,6}:{(51,1),(52,1),(54,1),(72,1),(74,1)}
      66:{2,4,6}:{(53,1),(54,1),(74,1),(75,1)}
      67:{4,5,6}:{(54,1),(55,1),(75,1)}
      68:{1,3,5}:{(57,1),(76,1),(77,1)}
      69:{1,4,6}:{(57,1),(58,1),(60,1),(77,1)}
      70:{1,4}:{(59,1),(63,1)}
      71:{1,2,5}:{(61,1),(64,1),(78,1),(79,1)}
      72:{1,4,6}:{(61,1),(62,1),(65,1),(79,1)}
      73:{2,3,4}:{(63,1),(64,1),(78,1)}
      74:{2,3,6}:{(64,1),(65,1),(66,1),(79,1)}
      75:{2,5,6}:{(66,1),(67,1)}
      76:{1,3,4}:{(68,1),(70,1),(80,1)}
      77:{1,3,6}:{(68,1),(69,1)}
      78:{1,2,4}:{(70,1),(71,1),(73,1),(80,1)}
      79:{1,2,6}:{(71,1),(72,1),(74,1)}
      80:{1,2,3}:{(76,1),(78,1)}

344 :  0:{1,2,3,4,6}:{(1,1),(4,1),(14,1),(17,1),(30,1),(44,1),(53,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(10,1),(38,1),(52,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(12,1),(13,1),(14,1)}
       3:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       4:{1,4,6}:{(2,1),(3,1),(9,1)}
       5:{1,2,4,5}:{(3,1),(8,1),(10,1),(24,1),(37,1),(38,1)}
       6:{3,4,5}:{(3,1),(9,1),(10,1),(37,1),(52,1),(58,1)}
       7:{1,4,5,6}:{(4,1),(12,1),(13,1),(29,1),(45,1)}
       8:{1,2,4,6}:{(4,1),(5,1),(12,1),(14,1),(29,1)}
       9:{3,4,6}:{(4,1),(6,1),(13,1),(14,1),(29,1)}
      10:{2,3,5}:{(5,1),(6,1),(14,1),(17,1)}
      11:{1,3,4,5}:{(6,1),(15,1),(16,1),(45,1),(56,1),(59,1)}
      12:{1,2,5,6}:{(7,1),(8,1),(20,1),(38,1)}
      13:{3,5,6}:{(7,1),(9,1),(52,1)}
      14:{2,3,6}:{(8,1),(9,1),(10,1)}
      15:{1,3,4,6}:{(9,1),(11,1),(21,1),(22,1),(36,1)}
      16:{1,2,3,5}:{(10,1),(11,1),(22,1),(24,1),(38,1)}
      17:{2,3,4}:{(10,1),(24,1),(58,1)}
      18:{3,4,5,6}:{(13,1),(25,1),(26,1),(29,1),(43,1),(44,1)}
      19:{1,2,4,5,6}:{(12,1),(27,1),(29,1),(40,1),(41,1),(42,1),(45,1),(54,1)}
      20:{2,3,5,6}:{(12,1),(13,1),(14,1),(29,1),(31,1)}
      21:{1,3,5,6}:{(13,1),(15,1),(26,1),(56,1)}
      22:{1,2,3,6}:{(14,1),(15,1),(16,1),(30,1)}
      23:{2,3,4,6}:{(14,1),(17,1),(29,1),(30,1),(31,1),(44,1)}
      24:{1,2,4}:{(16,1),(17,1),(59,1)}
      25:{2,3,5,6}:{(18,1),(32,1),(33,1),(47,1),(48,1)}
      26:{1,4,5,6}:{(18,1),(21,1),(32,1),(36,1),(51,1)}
      27:{2,3,5,6}:{(19,1),(35,1),(47,1),(48,1),(52,1)}
      28:{1,2,3,5,6}:{(20,1),(21,1),(22,1),(32,1),(36,1),(38,1),(48,1),(52,1),(57,1)}
      29:{4,6}:{(20,1),(37,1)}
      30:{1,2,4,6}:{(22,1),(23,1),(24,1),(36,1),(38,1)}
      31:{2,3,5}:{(23,1),(37,1),(38,1),(52,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(40,1),(54,1)}
      33:{2,4,6}:{(25,1),(29,1),(41,1)}
      34:{1,2,3,5,6}:{(27,1),(42,1),(53,1),(54,1),(56,1)}
      35:{3,4,6}:{(27,1),(29,1),(42,1),(43,1)}
      36:{1,4,6}:{(28,1),(29,1),(44,1),(45,1),(59,1)}
      37:{4,5}:{(29,1),(31,1)}
      38:{1,2,5}:{(30,1),(31,1),(45,1)}
      39:{2,3,4,6}:{(33,1),(35,1),(46,1),(47,1),(48,1),(58,1)}
      40:{1,2,4,6}:{(32,1),(33,1),(36,1),(48,1),(49,1)}
      41:{2,4,5}:{(33,1),(37,1),(47,1)}
      42:{1,4,6}:{(34,1),(35,1),(51,1)}
      43:{3,4,5}:{(35,1),(37,1),(47,1),(51,1),(52,1),(58,1)}
      44:{3,4,6}:{(36,1),(48,1),(52,1),(58,1)}
      45:{1,4,5}:{(36,1),(37,1),(38,1),(52,1)}
      46:{1,2,4,6}:{(39,1),(42,1),(53,1),(54,1),(59,1)}
      47:{2,3,5}:{(39,1),(41,1),(43,1),(54,1)}
      48:{2,3,6}:{(40,1),(44,1),(55,1)}
      49:{1,2,4,5}:{(40,1),(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{1,3,4,6}:{(42,1),(44,1),(53,1),(56,1),(59,1)}
      51:{1,4,5}:{(42,1),(43,1),(54,1),(56,1),(59,1)}
      52:{3,5}:{(44,1),(45,1)}
      53:{1,2,3,6}:{(46,1),(48,1),(50,1),(57,1)}
      54:{1,2,5}:{(46,1),(47,1),(51,1)}
      55:{2,3,5}:{(48,1),(49,1),(52,1),(58,1)}
      56:{1,3,5}:{(50,1),(51,1),(52,1)}
      57:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{3,4}:{(55,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

345 :  0:{1,2,3,4}:{(1,1),(14,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1),(8,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1)}
       3:{1,2,3,6}:{(1,1),(6,1),(15,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(36,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(18,1),(32,1),(36,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(11,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(40,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,5,6}:{(6,1),(16,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(18,1),(19,1),(32,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(19,1),(20,1),(35,1),(74,1)}
      14:{2,3,4}:{(8,1),(18,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(22,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(24,1),(32,1),(55,1)}
      18:{1,2,4}:{(12,1),(14,1)}
      19:{1,2,3,6}:{(12,1),(13,1),(15,1),(25,1),(73,1)}
      20:{1,3,5,6}:{(13,1),(16,1),(26,1),(78,1)}
      21:{2,3,4,6}:{(14,1),(15,1),(25,1),(28,1),(30,1),(43,1),(46,1),(61,1)}
      22:{4,5,6}:{(16,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(28,1),(29,1),(30,1),(31,1),(46,1)}
      24:{1,4,5,6}:{(17,1),(30,1),(31,1),(40,1),(47,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(32,1),(35,1),(55,1),(68,1)}
      26:{1,4,5,6}:{(20,1),(22,1),(33,1),(34,1),(35,1),(76,1)}
      27:{1,2,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1),(39,1),(49,1),(51,1),(55,1),(64,1)}
      28:{2,3,5}:{(21,1),(32,1),(36,1),(49,1)}
      29:{2,5,6}:{(22,1),(37,1)}
      30:{4,6}:{(23,1),(36,1)}
      31:{3,5,6}:{(24,1),(38,1),(49,1)}
      32:{1,2,5}:{(25,1),(28,1),(40,1)}
      33:{3,4,5,6}:{(26,1),(41,1),(43,1),(69,1)}
      34:{1,2,5,6}:{(26,1),(29,1),(41,1),(42,1),(72,1)}
      35:{1,4,6}:{(27,1),(30,1),(40,1),(43,1),(70,1)}
      36:{4,5}:{(28,1),(30,1)}
      37:{2,4,6}:{(29,1),(30,1),(44,1),(46,1)}
      38:{3,4,6}:{(30,1),(31,1),(45,1),(46,1),(47,1)}
      39:{1,3,5,6}:{(31,1),(47,1),(57,1)}
      40:{1,4,5}:{(32,1),(35,1),(36,1),(49,1)}
      41:{2,3,5,6}:{(33,1),(34,1),(50,1),(51,1),(66,1)}
      42:{1,2,4,6}:{(34,1),(35,1),(37,1),(48,1),(50,1),(51,1),(55,1)}
      43:{3,4,6}:{(35,1),(49,1),(51,1),(63,1)}
      44:{2,4,5}:{(36,1),(37,1),(53,1)}
      45:{3,4,5}:{(36,1),(38,1),(49,1),(53,1),(54,1),(63,1)}
      46:{2,3,6}:{(37,1),(38,1),(53,1),(55,1)}
      47:{1,4,6}:{(38,1),(39,1),(54,1),(55,1)}
      48:{1,2,4,5}:{(40,1),(42,1),(44,1),(56,1),(58,1),(62,1),(70,1),(72,1)}
      49:{3,5}:{(40,1),(43,1)}
      50:{2,4,6}:{(41,1),(58,1)}
      51:{2,3,6}:{(42,1),(43,1),(56,1)}
      52:{1,3,4,6}:{(43,1),(47,1),(57,1),(60,1),(70,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(61,1),(62,1)}
      54:{1,4,5}:{(45,1),(47,1),(57,1),(62,1),(70,1)}
      55:{1,2,6}:{(46,1),(47,1),(62,1)}
      56:{2,3,5}:{(48,1),(49,1),(51,1),(63,1)}
      57:{1,3,5}:{(49,1),(52,1),(54,1)}
      58:{2,4,5}:{(50,1),(66,1)}
      59:{2,3,4,6}:{(50,1),(51,1),(63,1),(66,1),(67,1),(75,1)}
      60:{1,2,3,6}:{(51,1),(52,1),(55,1),(64,1),(67,1),(80,1)}
      61:{2,3,4}:{(53,1),(63,1),(68,1)}
      62:{1,2,5}:{(53,1),(54,1),(55,1),(68,1)}
      63:{3,4}:{(56,1),(70,1)}
      64:{1,2,3,5}:{(56,1),(57,1),(60,1),(62,1),(70,1),(72,1),(73,1),(78,1)}
      65:{2,4,5,6}:{(58,1),(71,1)}
      66:{2,3,5}:{(58,1),(59,1),(69,1),(72,1)}
      67:{1,2,4,6}:{(59,1),(60,1),(70,1),(72,1),(79,1)}
      68:{1,2,4}:{(61,1),(62,1),(70,1),(73,1)}
      69:{3,4,5}:{(63,1),(66,1),(75,1),(76,1)}
      70:{1,4}:{(63,1),(64,1)}
      71:{2,3,5,6}:{(65,1),(66,1),(75,1),(77,1)}
      72:{1,2,5}:{(66,1),(67,1),(76,1)}
      73:{1,2,3}:{(68,1),(74,1)}
      74:{1,3,4}:{(70,1),(73,1),(78,1)}
      75:{3,4,6}:{(69,1),(71,1),(79,1)}
      76:{1,4,5}:{(69,1),(70,1),(72,1),(78,1),(79,1)}
      77:{1,2,5,6}:{(71,1),(72,1),(79,1)}
      78:{1,3,5}:{(74,1),(76,1),(80,1)}
      79:{1,4,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

346 :   0:{2,3,4}:{(4,1),(5,1),(34,1),(197,1),(198,1)}
        1:{3,4,5}:{(5,1),(6,1),(7,1),(22,1),(34,1),(68,1),(85,1)}
        2:{2,4,5}:{(5,1),(9,1),(22,1),(196,1),(197,1)}
        3:{2,3,4,6}:{(0,1),(10,1),(11,1),(14,1),(38,1),(42,1),(57,1),(93,1),(98,1),(99,1),(113,1),(159,1),(160,1),(164,1),(220,1)}
        4:{1,2,4}:{(0,1),(12,1),(13,1),(45,1)}
        5:{2,3,5}:{(0,1),(1,1),(2,1),(13,1),(14,1)}
        6:{1,4,5}:{(1,1),(13,1),(16,1),(17,1),(45,1),(103,1)}
        7:{3,4,6}:{(1,1),(14,1),(15,1),(17,1),(42,1),(99,1)}
        8:{1,2,4,5}:{(2,1),(13,1),(19,1),(20,1),(41,1),(45,1),(58,1),(89,1),(100,1),(103,1),(114,1),(162,1),(163,1),(167,1),(220,1)}
        9:{2,4,6}:{(2,1),(14,1),(18,1),(42,1)}
       10:{1,2,4,6}:{(3,1),(4,1),(23,1),(24,1),(27,1),(62,1),(69,1),(70,1),(73,1),(124,1),(185,1)}
       11:{2,3,5}:{(3,1),(22,1),(24,1),(68,1),(85,1),(144,1),(191,1),(196,1)}
       12:{1,2,3}:{(4,1),(21,1),(198,1)}
       13:{1,2,5}:{(4,1),(5,1),(6,1),(27,1)}
       14:{2,3,6}:{(5,1),(7,1),(9,1),(27,1)}
       15:{3,5,6}:{(7,1),(28,1),(29,1),(85,1)}
       16:{1,3,5}:{(6,1),(30,1),(31,1),(68,1)}
       17:{1,4,6}:{(6,1),(7,1),(27,1),(29,1),(31,1)}
       18:{2,5,6}:{(9,1),(32,1),(196,1)}
       19:{2,3,5}:{(8,1),(34,1),(35,1),(68,1),(85,1),(129,1),(194,1),(198,1)}
       20:{1,2,4,6}:{(8,1),(9,1),(27,1),(33,1),(35,1),(69,1),(73,1),(83,1),(86,1),(120,1),(181,1)}
       21:{1,3,4}:{(12,1),(37,1),(45,1),(168,1)}
       22:{4,5}:{(11,1),(42,1),(220,1)}
       23:{1,2,3,6}:{(10,1),(12,1),(36,1),(43,1),(91,1),(99,1),(149,1),(160,1)}
       24:{1,2,5}:{(10,1),(11,1),(41,1),(103,1),(215,1)}
       25:{2,3,5,6}:{(11,1),(14,1),(15,1),(18,1),(42,1),(44,1),(47,1),(53,1),(93,1),(99,1)}
       26:{1,2,3,5}:{(12,1),(13,1),(16,1),(19,1),(37,1),(45,1),(46,1),(50,1),(89,1),(103,1)}
       27:{1,2,6}:{(13,1),(14,1),(17,1)}
       28:{4,5,6}:{(15,1),(42,1),(47,1),(114,1)}
       29:{1,5,6}:{(15,1),(17,1),(103,1)}
       30:{1,3,4}:{(16,1),(45,1),(50,1),(98,1)}
       31:{1,3,6}:{(16,1),(17,1),(99,1)}
       32:{4,5,6}:{(18,1),(42,1),(53,1),(165,1)}
       33:{1,2,5,6}:{(18,1),(20,1),(54,1),(55,1),(103,1),(116,1),(162,1),(171,1)}
       34:{3,4}:{(19,1),(45,1),(220,1)}
       35:{2,3,6}:{(19,1),(20,1),(57,1),(99,1),(211,1)}
       36:{1,3,4,6}:{(21,1),(23,1),(59,1),(61,1),(70,1),(73,1),(119,1),(122,1),(130,1),(183,1),(185,1)}
       37:{1,3,5}:{(21,1),(60,1),(61,1),(194,1)}
       38:{2,3,4}:{(62,1),(63,1),(127,1),(203,1),(249,1)}
       39:{3,4,5}:{(22,1),(63,1),(64,1),(65,1),(68,1),(127,1),(191,1)}
       40:{2,4,5}:{(22,1),(63,1),(67,1),(144,1),(203,1)}
       41:{1,4,5}:{(22,1),(24,1),(68,1),(69,1),(70,1)}
       42:{4,6}:{(22,1),(25,1)}
       43:{1,2,3,5}:{(23,1),(24,1),(59,1),(68,1),(70,1),(118,1),(129,1),(192,1)}
       44:{1,2,5,6}:{(24,1),(25,1),(27,1),(29,1),(69,1),(81,1),(124,1)}
       45:{1,4}:{(26,1),(34,1)}
       46:{1,2,3,6}:{(26,1),(27,1),(31,1),(35,1),(61,1),(73,1),(120,1)}
       47:{2,5,6}:{(28,1),(67,1),(144,1)}
       48:{1,4,5,6}:{(28,1),(29,1),(69,1),(74,1),(75,1),(76,1),(132,1),(134,1),(264,1),(267,1),(278,1)}
       49:{1,3,5,6}:{(29,1),(31,1),(75,1),(76,1),(78,1),(278,1),(279,1)}
       50:{1,2,3}:{(30,1),(72,1),(129,1)}
       51:{1,3,4,6}:{(30,1),(31,1),(73,1),(76,1),(77,1),(78,1),(130,1),(138,1),(266,1),(269,1),(279,1)}
       52:{3,4,5}:{(34,1),(60,1),(79,1),(80,1),(85,1),(145,1),(194,1)}
       53:{3,5,6}:{(32,1),(65,1),(81,1),(191,1)}
       54:{1,4,5,6}:{(32,1),(33,1),(69,1),(81,1),(82,1),(83,1),(132,1),(141,1),(146,1),(181,1),(206,1)}
       55:{2,3,5,6}:{(33,1),(35,1),(82,1),(83,1),(85,1),(142,1),(144,1),(192,1)}
       56:{2,3,4}:{(34,1),(72,1),(79,1),(129,1),(177,1)}
       57:{3,4,6}:{(34,1),(35,1),(73,1),(83,1),(85,1)}
       58:{2,4,5}:{(79,1),(86,1),(145,1),(177,1),(233,1)}
       59:{1,3,5}:{(36,1),(87,1),(103,1),(161,1),(215,1)}
       60:{1,4,5}:{(37,1),(45,1),(52,1),(89,1),(90,1),(103,1)}
       61:{1,3,6}:{(37,1),(90,1),(211,1)}
       62:{1,2,4}:{(38,1),(91,1),(92,1),(153,1)}
       63:{2,3,5}:{(38,1),(39,1),(40,1),(92,1),(93,1)}
       64:{1,4,5}:{(39,1),(92,1),(94,1),(95,1),(153,1),(215,1)}
       65:{3,4,6}:{(39,1),(42,1),(53,1),(93,1),(95,1),(99,1)}
       66:{1,2,4,5}:{(40,1),(41,1),(92,1),(96,1),(97,1),(100,1),(153,1),(162,1),(165,1),(207,1),(212,1),(215,1),(220,1),(229,1),(256,1)}
       67:{2,4,6}:{(40,1),(42,1),(47,1),(93,1)}
       68:{3,5}:{(41,1),(98,1),(99,1)}
       69:{1,4,6}:{(41,1),(42,1),(44,1),(99,1)}
       70:{1,4}:{(43,1),(98,1),(220,1)}
       71:{1,2,3,5,6}:{(43,1),(44,1),(46,1),(49,1),(55,1),(88,1),(99,1),(101,1),(103,1),(104,1),(106,1),(108,1),(111,1),(149,1),(151,1),(154,1),(160,1),(161,1),(162,1),(171,1),(209,1),(211,1),(215,1),(216,1),(254,1),(255,1),(274,1),(275,1)}
       72:{1,2,4}:{(45,1),(50,1),(56,1),(89,1)}
       73:{1,4,6}:{(45,1),(46,1),(57,1),(103,1)}
       74:{1,2,5,6}:{(47,1),(48,1),(97,1),(104,1),(106,1),(162,1),(215,1),(251,1)}
       75:{3,5,6}:{(48,1),(99,1),(105,1),(161,1),(275,1)}
       76:{1,4,6}:{(49,1),(105,1),(106,1),(107,1)}
       77:{1,2,3,6}:{(50,1),(51,1),(102,1),(106,1),(108,1),(160,1),(211,1),(263,1)}
       78:{1,3,5}:{(51,1),(103,1),(107,1),(161,1),(274,1)}
       79:{2,3,5}:{(52,1),(56,1),(58,1),(89,1),(109,1)}
       80:{3,4,6}:{(52,1),(90,1),(109,1),(110,1),(170,1),(211,1)}
       81:{1,5,6}:{(53,1),(95,1),(215,1)}
       82:{3,5,6}:{(54,1),(99,1),(112,1),(161,1),(211,1)}
       83:{4,6}:{(55,1),(114,1),(220,1)}
       84:{2,3,4,6}:{(56,1),(57,1),(102,1),(109,1),(113,1),(115,1),(160,1),(168,1),(170,1),(208,1),(211,1),(220,1),(227,1),(230,1),(253,1)}
       85:{3,5}:{(57,1),(103,1),(114,1)}
       86:{2,4,6}:{(58,1),(109,1),(116,1),(170,1)}
       87:{1,4,5}:{(59,1),(70,1),(117,1),(118,1),(119,1)}
       88:{1,3,5,6}:{(59,1),(61,1),(119,1),(121,1),(179,1),(183,1),(238,1)}
       89:{1,2,5}:{(60,1),(72,1),(79,1),(120,1)}
       90:{1,4,6}:{(60,1),(61,1),(80,1),(120,1),(121,1)}
       91:{1,2,3}:{(62,1),(122,1),(249,1)}
       92:{1,2,5}:{(62,1),(63,1),(64,1),(124,1)}
       93:{2,3,6}:{(63,1),(65,1),(67,1),(124,1)}
       94:{1,3,5}:{(64,1),(68,1),(125,1),(126,1)}
       95:{1,4,6}:{(64,1),(65,1),(81,1),(124,1),(126,1)}
       96:{2,3,5}:{(66,1),(68,1),(127,1),(128,1),(129,1),(191,1),(249,1),(268,1)}
       97:{1,2,4,6}:{(66,1),(67,1),(69,1),(74,1),(124,1),(128,1),(134,1),(185,1),(232,1),(237,1),(267,1)}
       98:{3,4}:{(68,1),(70,1),(129,1)}
       99:{3,6}:{(68,1),(69,1)}
      100:{1,2,4}:{(70,1),(118,1),(129,1),(177,1)}
      101:{1,4,6}:{(70,1),(71,1),(83,1),(130,1),(132,1),(134,1),(138,1),(234,1),(240,1)}
      102:{1,2,4,6}:{(72,1),(73,1),(77,1),(84,1),(120,1),(133,1),(138,1),(181,1),(248,1),(250,1),(266,1)}
      103:{1,5}:{(73,1),(85,1)}
      104:{2,3,5,6}:{(74,1),(75,1),(128,1),(134,1),(135,1),(191,1),(192,1),(196,1)}
      105:{3,4,6}:{(75,1),(76,1),(134,1),(135,1),(136,1)}
      106:{1,2,6}:{(76,1),(135,1),(137,1)}
      107:{1,4,5}:{(76,1),(78,1),(136,1),(137,1),(138,1)}
      108:{1,2,3,5}:{(77,1),(78,1),(133,1),(137,1),(138,1),(192,1),(194,1),(198,1)}
      109:{2,3,6}:{(79,1),(80,1),(86,1),(120,1)}
      110:{3,5,6}:{(80,1),(85,1),(121,1),(139,1)}
      111:{1,3,5,6}:{(81,1),(82,1),(126,1),(141,1),(187,1),(206,1),(236,1)}
      112:{3,4,6}:{(82,1),(83,1),(141,1),(142,1),(143,1)}
      113:{2,4,6}:{(83,1),(142,1),(144,1),(203,1)}
      114:{4,5}:{(83,1),(85,1),(144,1)}
      115:{2,3,5}:{(84,1),(85,1),(133,1),(144,1),(145,1),(194,1),(233,1),(265,1)}
      116:{2,5,6}:{(86,1),(146,1),(233,1)}
      117:{3,4,5}:{(87,1),(98,1),(147,1),(148,1),(161,1),(220,1),(252,1)}
      118:{1,2,5}:{(87,1),(100,1),(147,1),(149,1)}
      119:{1,4,6}:{(87,1),(88,1),(148,1),(149,1)}
      120:{1,2,6}:{(89,1),(90,1),(109,1)}
      121:{1,5,6}:{(90,1),(103,1),(110,1)}
      122:{1,3,4}:{(91,1),(152,1),(153,1),(257,1)}
      123:{1,2,3,5}:{(91,1),(92,1),(94,1),(96,1),(152,1),(153,1),(154,1),(155,1),(212,1),(215,1)}
      124:{1,2,6}:{(92,1),(93,1),(95,1)}
      125:{1,3,4}:{(94,1),(98,1),(153,1),(155,1)}
      126:{1,3,6}:{(94,1),(95,1),(99,1)}
      127:{3,4}:{(96,1),(153,1),(220,1)}
      128:{2,3,6}:{(96,1),(97,1),(99,1),(159,1),(275,1)}
      129:{2,3}:{(98,1),(100,1)}
      130:{3,4,6}:{(98,1),(99,1),(101,1),(160,1),(161,1),(168,1),(211,1),(220,1),(257,1),(275,1)}
      131:{1,2,4,6}:{(100,1),(101,1),(106,1),(113,1),(149,1),(160,1),(162,1),(164,1),(167,1),(171,1),(208,1),(220,1),(229,1)}
      132:{1,4,5}:{(101,1),(103,1),(114,1),(161,1),(162,1),(165,1),(215,1),(220,1),(252,1),(274,1)}
      133:{1,2,5}:{(102,1),(103,1),(115,1),(163,1),(274,1)}
      134:{4,6}:{(104,1),(165,1),(220,1)}
      135:{2,3,6}:{(105,1),(106,1),(164,1),(166,1)}
      136:{3,4,5}:{(105,1),(107,1),(161,1),(165,1),(166,1),(168,1),(220,1)}
      137:{1,2,5}:{(106,1),(107,1),(166,1),(167,1)}
      138:{1,4}:{(108,1),(168,1),(220,1)}
      139:{4,5,6}:{(110,1),(114,1),(169,1),(170,1)}
      140:{2,3,5,6}:{(109,1),(110,1),(115,1),(116,1),(151,1),(169,1),(170,1),(176,1),(211,1),(227,1)}
      141:{1,4,6}:{(111,1),(112,1),(171,1),(172,1)}
      142:{2,3,6}:{(112,1),(113,1),(171,1),(173,1)}
      143:{3,4,5}:{(112,1),(114,1),(161,1),(172,1),(173,1),(220,1),(257,1)}
      144:{2,5}:{(113,1),(114,1)}
      145:{4,5}:{(115,1),(170,1),(220,1)}
      146:{4,5,6}:{(116,1),(170,1),(176,1),(252,1)}
      147:{2,3,5}:{(117,1),(118,1),(129,1),(177,1),(178,1),(233,1)}
      148:{3,4,6}:{(117,1),(119,1),(178,1),(179,1),(234,1)}
      149:{1,2,6}:{(118,1),(119,1),(178,1)}
      150:{1,4,5,6}:{(119,1),(121,1),(132,1),(139,1),(179,1),(180,1),(181,1),(195,1),(234,1),(238,1),(267,1)}
      151:{1,2,5,6}:{(120,1),(121,1),(133,1),(140,1),(181,1),(206,1),(248,1)}
      152:{1,3,5}:{(122,1),(182,1),(183,1),(268,1)}
      153:{1,4}:{(123,1),(127,1)}
      154:{1,2,3,6}:{(123,1),(124,1),(126,1),(128,1),(183,1),(185,1),(237,1)}
      155:{1,2,3}:{(125,1),(129,1),(184,1)}
      156:{1,3,4,6}:{(125,1),(126,1),(130,1),(141,1),(185,1),(186,1),(187,1),(199,1),(236,1),(240,1),(266,1)}
      157:{3,4,5}:{(127,1),(182,1),(188,1),(189,1),(191,1),(242,1),(268,1)}
      158:{2,3,4}:{(127,1),(129,1),(177,1),(184,1),(188,1)}
      159:{3,4,6}:{(127,1),(128,1),(134,1),(185,1),(191,1)}
      160:{2,3,6}:{(129,1),(130,1),(131,1),(192,1),(198,1),(249,1)}
      161:{3,5}:{(130,1),(132,1)}
      162:{1,2,5}:{(131,1),(132,1),(144,1),(192,1),(196,1),(233,1)}
      163:{1,4,5}:{(133,1),(138,1),(145,1),(181,1),(194,1)}
      164:{2,4,6}:{(134,1),(135,1),(196,1),(197,1)}
      165:{4,5}:{(134,1),(191,1),(196,1)}
      166:{2,3,5}:{(135,1),(136,1),(137,1),(196,1),(197,1),(198,1)}
      167:{1,2,4}:{(137,1),(138,1),(197,1),(198,1)}
      168:{3,4}:{(138,1),(194,1),(198,1)}
      169:{2,5,6}:{(139,1),(144,1),(200,1)}
      170:{4,6}:{(140,1),(145,1)}
      171:{1,2,6}:{(141,1),(142,1),(202,1)}
      172:{1,4,5}:{(141,1),(143,1),(187,1),(202,1),(240,1)}
      173:{2,3,5}:{(142,1),(143,1),(144,1),(202,1),(203,1),(249,1)}
      174:{2,4,5}:{(144,1),(145,1),(200,1),(203,1),(204,1)}
      175:{3,4,5}:{(145,1),(194,1),(201,1),(204,1),(205,1),(243,1),(265,1)}
      176:{3,5,6}:{(146,1),(201,1),(206,1),(265,1)}
      177:{2,4}:{(147,1),(220,1)}
      178:{2,3,6}:{(147,1),(148,1),(149,1),(208,1)}
      179:{3,5,6}:{(148,1),(150,1),(161,1),(211,1),(275,1)}
      180:{1,2,5,6}:{(149,1),(150,1),(162,1),(169,1),(209,1),(210,1),(223,1),(274,1)}
      181:{1,4,6}:{(151,1),(163,1),(170,1),(211,1)}
      182:{1,4,5}:{(152,1),(153,1),(157,1),(212,1),(213,1),(215,1)}
      183:{1,3,6}:{(152,1),(213,1),(275,1)}
      184:{1,2,4}:{(153,1),(155,1),(158,1),(212,1)}
      185:{1,4,6}:{(153,1),(154,1),(159,1),(215,1)}
      186:{1,2,3,6}:{(155,1),(156,1),(160,1),(171,1),(214,1),(216,1),(226,1),(275,1)}
      187:{1,3,5}:{(156,1),(161,1),(172,1),(215,1),(274,1)}
      188:{2,3,5}:{(157,1),(158,1),(207,1),(212,1),(217,1)}
      189:{3,4,6}:{(157,1),(213,1),(217,1),(218,1),(258,1),(275,1)}
      190:{2,3,4,6}:{(158,1),(159,1),(160,1),(164,1),(208,1),(214,1),(217,1),(219,1),(220,1),(225,1),(253,1),(257,1),(258,1),(261,1),(275,1)}
      191:{3,5}:{(159,1),(165,1),(215,1)}
      192:{2,3,5}:{(160,1),(161,1),(162,1),(220,1)}
      193:{1,2,4,5}:{(162,1),(163,1),(167,1),(174,1),(210,1),(220,1),(221,1),(224,1),(229,1),(231,1),(252,1),(256,1),(260,1),(262,1),(274,1)}
      194:{3,5}:{(163,1),(168,1),(211,1)}
      195:{4,5,6}:{(165,1),(218,1),(223,1),(258,1)}
      196:{2,5}:{(164,1),(165,1)}
      197:{2,4}:{(166,1),(220,1)}
      198:{2,3}:{(167,1),(168,1)}
      199:{1,3,4}:{(168,1),(222,1),(226,1),(260,1)}
      200:{2,4,6}:{(169,1),(170,1),(174,1),(227,1)}
      201:{3,4,6}:{(170,1),(175,1),(176,1),(211,1),(227,1),(228,1)}
      202:{1,2,5}:{(171,1),(172,1),(173,1),(229,1)}
      203:{2,4}:{(173,1),(220,1)}
      204:{2,3,5}:{(174,1),(175,1),(227,1),(230,1),(231,1)}
      205:{1,4,5}:{(175,1),(222,1),(228,1),(231,1),(260,1),(274,1)}
      206:{1,5,6}:{(176,1),(228,1),(274,1)}
      207:{2,4,5}:{(177,1),(188,1),(232,1),(233,1),(242,1)}
      208:{2,4,6}:{(177,1),(178,1),(233,1),(234,1)}
      209:{2,3,5,6}:{(178,1),(179,1),(180,1),(192,1),(233,1),(234,1),(235,1),(265,1)}
      210:{1,2,4,6}:{(180,1),(181,1),(193,1),(200,1),(234,1),(235,1),(245,1),(248,1),(266,1),(267,1),(272,1)}
      211:{3,6}:{(181,1),(194,1)}
      212:{1,2,5}:{(182,1),(184,1),(188,1),(237,1)}
      213:{1,4,6}:{(182,1),(183,1),(189,1),(237,1),(238,1)}
      214:{1,2,4,6}:{(184,1),(185,1),(186,1),(190,1),(237,1),(239,1),(240,1),(247,1),(266,1),(267,1),(272,1)}
      215:{1,5}:{(185,1),(191,1)}
      216:{1,2,3,5}:{(186,1),(187,1),(192,1),(202,1),(239,1),(240,1),(249,1),(268,1)}
      217:{2,3,6}:{(188,1),(189,1),(232,1),(237,1)}
      218:{3,5,6}:{(189,1),(191,1),(195,1),(238,1)}
      219:{2,3,5}:{(190,1),(191,1),(196,1),(233,1),(239,1),(242,1),(265,1),(268,1)}
      220:{4}:{(192,1)}
      221:{2,3,5}:{(193,1),(194,1),(198,1),(235,1),(243,1),(249,1),(265,1),(268,1)}
      222:{1,3,5}:{(194,1),(199,1),(205,1),(236,1)}
      223:{2,5,6}:{(195,1),(196,1),(245,1)}
      224:{2,4,5}:{(196,1),(197,1),(242,1),(245,1),(246,1)}
      225:{2,3,4}:{(197,1),(198,1),(243,1),(246,1),(247,1)}
      226:{1,2,3}:{(198,1),(199,1),(247,1)}
      227:{2,3,6}:{(200,1),(201,1),(204,1),(248,1)}
      228:{1,4,6}:{(201,1),(205,1),(206,1),(236,1),(248,1)}
      229:{1,2,4}:{(202,1),(203,1),(240,1),(249,1)}
      230:{2,3,4}:{(203,1),(204,1),(243,1),(249,1),(250,1)}
      231:{1,2,5}:{(204,1),(205,1),(248,1),(250,1)}
      232:{2,4,6}:{(207,1),(217,1),(251,1),(258,1)}
      233:{2,5}:{(208,1),(252,1)}
      234:{4,6}:{(209,1),(220,1),(252,1)}
      235:{2,3,6}:{(210,1),(211,1),(221,1),(253,1),(275,1)}
      236:{1,3,6}:{(211,1),(222,1),(228,1)}
      237:{1,2,6}:{(212,1),(213,1),(217,1)}
      238:{1,5,6}:{(213,1),(215,1),(218,1)}
      239:{1,2,5}:{(214,1),(215,1),(219,1),(256,1),(274,1)}
      240:{1,4}:{(216,1),(220,1),(257,1)}
      241:{2,3,5,6}:{(217,1),(218,1),(219,1),(223,1),(251,1),(255,1),(258,1),(261,1),(273,1),(275,1)}
      242:{4,5}:{(219,1),(220,1),(258,1)}
      243:{3,4}:{(220,1),(221,1),(260,1)}
      244:{1,2,3,5}:{(221,1),(222,1),(226,1),(231,1),(254,1),(260,1),(262,1),(263,1),(274,1),(276,1)}
      245:{2,4,6}:{(223,1),(224,1),(258,1),(261,1)}
      246:{2,3,5}:{(224,1),(225,1),(259,1),(261,1),(262,1)}
      247:{1,2,4}:{(225,1),(226,1),(260,1),(262,1)}
      248:{1,2,6}:{(227,1),(228,1),(231,1)}
      249:{2,3}:{(229,1),(257,1)}
      250:{1,2,4}:{(230,1),(231,1),(260,1),(263,1)}
      251:{2,5,6}:{(232,1),(233,1),(264,1)}
      252:{4,5}:{(233,1),(234,1),(265,1)}
      253:{3,4,6}:{(234,1),(235,1),(243,1),(265,1),(266,1)}
      254:{1,2,3,6}:{(235,1),(236,1),(244,1),(248,1),(266,1),(272,1),(279,1)}
      255:{1,2,5,6}:{(237,1),(238,1),(239,1),(241,1),(267,1),(272,1),(278,1)}
      256:{1,4,5}:{(239,1),(240,1),(242,1),(267,1),(268,1)}
      257:{3,4}:{(240,1),(249,1),(268,1)}
      258:{4,6}:{(241,1),(242,1)}
      259:{3,4,5}:{(242,1),(243,1),(246,1),(265,1),(268,1),(270,1),(271,1)}
      260:{1,4}:{(243,1),(244,1)}
      261:{2,3,6}:{(245,1),(246,1),(270,1),(272,1)}
      262:{1,2,5}:{(246,1),(247,1),(271,1),(272,1)}
      263:{1,2,3}:{(249,1),(250,1),(269,1)}
      264:{4,5,6}:{(251,1),(252,1),(258,1),(273,1)}
      265:{3,5}:{(252,1),(253,1),(274,1)}
      266:{1,4,6}:{(253,1),(254,1),(260,1),(274,1)}
      267:{1,4,6}:{(255,1),(256,1),(258,1),(275,1)}
      268:{3,5}:{(256,1),(257,1),(275,1)}
      269:{1,3,4}:{(257,1),(260,1),(263,1),(276,1)}
      270:{3,4,6}:{(258,1),(259,1),(261,1),(273,1),(275,1),(277,1)}
      271:{1,4,5}:{(259,1),(260,1),(262,1),(274,1),(276,1),(277,1)}
      272:{1,2,6}:{(261,1),(262,1),(277,1)}
      273:{3,5,6}:{(264,1),(265,1),(270,1),(278,1)}
      274:{1,5}:{(265,1),(266,1)}
      275:{3,6}:{(267,1),(268,1)}
      276:{1,3,5}:{(268,1),(269,1),(271,1),(279,1)}
      277:{1,4,6}:{(270,1),(271,1),(272,1),(278,1),(279,1)}
      278:{1,5,6}:{(273,1),(274,1),(277,1)}
      279:{1,3,6}:{(275,1),(276,1),(277,1)}

347 :  0:{2,4,5,6}:{(1,1),(12,1)}
       1:{2,3,5,6}:{(0,1),(2,1),(3,1),(8,1)}
       2:{1,2,5,6}:{(1,1),(5,1),(14,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(9,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,6}:{(5,1),(16,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(44,1)}
      12:{2,4,5}:{(8,1),(20,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(18,1),(21,1),(35,1),(50,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(23,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1),(74,1)}
      18:{1,3,4,6}:{(13,1),(25,1),(28,1),(42,1),(44,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(41,1),(46,1),(56,1)}
      20:{2,4,6}:{(12,1),(15,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(25,1),(26,1),(28,1),(30,1),(41,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1),(69,1)}
      23:{1,3,4}:{(16,1),(28,1),(30,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(78,1)}
      25:{1,3,5}:{(18,1),(32,1),(53,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(53,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1),(50,1),(63,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(33,1),(35,1),(37,1),(38,1),(50,1),(53,1),(54,1),(64,1)}
      30:{1,2,3}:{(23,1),(36,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(39,1),(75,1)}
      32:{1,4,5}:{(25,1),(28,1),(40,1),(41,1),(42,1)}
      33:{1,3,5,6}:{(25,1),(42,1),(58,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(44,1)}
      36:{1,2,4}:{(28,1),(30,1),(41,1),(43,1)}
      37:{1,4,6}:{(28,1),(29,1),(44,1),(46,1),(70,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(45,1),(47,1),(71,1)}
      39:{1,3,4,5}:{(31,1),(46,1),(47,1),(72,1)}
      40:{3,4,5}:{(32,1),(34,1),(48,1),(49,1),(53,1),(66,1)}
      41:{1,2,5}:{(32,1),(36,1),(48,1),(50,1)}
      42:{1,4,6}:{(32,1),(33,1),(49,1),(50,1)}
      43:{2,3,4}:{(34,1),(36,1),(48,1)}
      44:{3,4,6}:{(34,1),(35,1),(37,1),(53,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(55,1)}
      46:{1,4,5}:{(37,1),(53,1),(54,1),(66,1)}
      47:{1,2,3,5}:{(38,1),(39,1),(54,1),(55,1),(67,1)}
      48:{2,3,5}:{(40,1),(41,1),(43,1),(56,1),(57,1)}
      49:{3,4,6}:{(40,1),(42,1),(57,1),(58,1),(70,1)}
      50:{1,2,6}:{(41,1),(42,1),(57,1)}
      51:{1,4,5,6}:{(42,1),(46,1),(58,1),(59,1),(70,1)}
      52:{2,3,4,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(62,1),(70,1),(71,1)}
      53:{3,5}:{(44,1),(46,1)}
      54:{1,2,5}:{(45,1),(46,1),(60,1)}
      55:{1,2,4}:{(47,1),(62,1)}
      56:{2,4,5}:{(48,1),(63,1),(66,1)}
      57:{2,3,6}:{(48,1),(49,1),(50,1),(63,1)}
      58:{3,5,6}:{(49,1),(51,1),(53,1)}
      59:{1,2,5,6}:{(50,1),(51,1),(54,1),(64,1),(65,1),(80,1)}
      60:{2,3,5}:{(52,1),(53,1),(54,1),(66,1)}
      61:{1,2,4,5}:{(54,1),(55,1),(65,1),(66,1),(67,1),(77,1)}
      62:{2,3,4}:{(55,1),(67,1)}
      63:{2,4,6}:{(56,1),(57,1),(69,1),(70,1)}
      64:{2,3,5,6}:{(57,1),(58,1),(59,1),(60,1),(69,1),(70,1),(71,1),(78,1)}
      65:{1,2,4,6}:{(59,1),(61,1),(70,1),(71,1),(79,1)}
      66:{4,5}:{(60,1),(70,1)}
      67:{2,3,5}:{(61,1),(62,1),(71,1),(72,1)}
      68:{1,2,3,4}:{(62,1),(73,1)}
      69:{2,5,6}:{(63,1),(74,1)}
      70:{4,6}:{(64,1),(66,1)}
      71:{2,3,6}:{(65,1),(67,1),(75,1)}
      72:{3,4,5}:{(66,1),(67,1),(75,1),(77,1)}
      73:{1,2,3,5}:{(67,1),(68,1),(76,1),(77,1)}
      74:{4,5,6}:{(69,1),(70,1),(78,1)}
      75:{3,4,6}:{(70,1),(71,1),(72,1),(78,1),(79,1)}
      76:{1,2,3,6}:{(71,1),(73,1),(79,1)}
      77:{1,4,5}:{(72,1),(73,1),(79,1)}
      78:{3,5,6}:{(74,1),(75,1),(80,1)}
      79:{1,4,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{1,5,6}:{(78,1),(79,1)}

348 :  0:{3,4,5,6}:{(1,1),(2,1),(22,1),(26,1)}
       1:{2,3,5,6}:{(0,1),(4,1),(5,1),(15,1),(17,1)}
       2:{1,4,5,6}:{(0,1),(3,1),(4,1),(16,1),(34,1),(77,1)}
       3:{1,3,5,6}:{(2,1),(7,1),(47,1),(75,1)}
       4:{1,2,5,6}:{(1,1),(2,1),(10,1),(24,1),(80,1)}
       5:{2,4,6}:{(1,1),(11,1)}
       6:{1,3,4,5}:{(7,1),(12,1),(27,1),(54,1)}
       7:{1,3,4,6}:{(3,1),(6,1),(13,1),(16,1),(60,1),(67,1)}
       8:{2,3,4,6}:{(5,1),(14,1),(15,1),(17,1),(35,1),(40,1)}
       9:{1,2,3,5,6}:{(3,1),(4,1),(13,1),(16,1),(17,1),(32,1),(36,1),(38,1),(57,1),(59,1),(78,1)}
      10:{1,2,4,6}:{(4,1),(5,1),(16,1),(17,1),(18,1),(76,1),(78,1)}
      11:{2,4,5}:{(5,1),(15,1)}
      12:{1,2,3,5}:{(6,1),(13,1),(20,1),(32,1),(42,1)}
      13:{1,2,3,6}:{(7,1),(12,1),(21,1),(55,1),(72,1)}
      14:{1,2,4,6}:{(8,1),(23,1),(24,1),(48,1),(49,1)}
      15:{2,3,5}:{(8,1),(11,1),(22,1),(24,1)}
      16:{1,4,6}:{(9,1),(26,1),(27,1),(49,1),(69,1)}
      17:{2,3,6}:{(10,1),(26,1),(28,1)}
      18:{1,2,4,5}:{(10,1),(11,1),(24,1),(27,1),(28,1),(49,1),(68,1),(70,1)}
      19:{2,4,5,6}:{(11,1),(25,1)}
      20:{1,2,4}:{(12,1),(29,1)}
      21:{1,2,4,6}:{(13,1),(16,1),(20,1),(31,1),(32,1),(62,1),(78,1)}
      22:{3,4,5}:{(15,1),(34,1),(35,1),(40,1)}
      23:{1,2,3,6}:{(14,1),(17,1),(33,1),(36,1),(61,1),(78,1)}
      24:{1,2,5}:{(14,1),(15,1),(34,1)}
      25:{2,3,5,6}:{(15,1),(19,1),(35,1),(37,1)}
      26:{3,4,6}:{(16,1),(17,1),(38,1),(40,1)}
      27:{1,4,5}:{(16,1),(32,1),(38,1),(56,1)}
      28:{2,3,5}:{(17,1),(18,1),(38,1),(40,1)}
      29:{2,3,4}:{(20,1),(42,1)}
      30:{1,2,4,5}:{(20,1),(32,1),(42,1),(43,1),(56,1),(65,1)}
      31:{2,3,4,6}:{(21,1),(26,1),(29,1),(44,1),(52,1),(55,1),(69,1),(73,1)}
      32:{1,2,5}:{(21,1),(27,1),(44,1)}
      33:{1,3,4,6}:{(23,1),(26,1),(46,1),(49,1),(71,1)}
      34:{1,4,5}:{(22,1),(24,1),(47,1),(48,1),(49,1)}
      35:{3,4,6}:{(22,1),(25,1),(48,1)}
      36:{1,2,3,5}:{(23,1),(24,1),(28,1),(46,1),(47,1),(49,1),(70,1),(72,1)}
      37:{1,2,5,6}:{(24,1),(25,1),(48,1)}
      38:{3,5}:{(26,1),(27,1)}
      39:{1,4,5,6}:{(27,1),(45,1),(51,1),(69,1),(71,1)}
      40:{3,4}:{(28,1),(49,1)}
      41:{1,2,3,4}:{(29,1),(53,1)}
      42:{2,3,5}:{(29,1),(30,1),(54,1),(55,1)}
      43:{1,2,4,6}:{(30,1),(45,1),(55,1),(69,1),(74,1)}
      44:{2,3,5}:{(31,1),(32,1),(38,1),(56,1)}
      45:{1,2,5,6}:{(32,1),(39,1),(43,1),(57,1),(78,1),(79,1)}
      46:{1,3,5}:{(33,1),(38,1),(58,1)}
      47:{1,3,5}:{(34,1),(60,1),(61,1)}
      48:{1,4,6}:{(34,1),(35,1),(37,1),(61,1)}
      49:{1,4}:{(36,1),(40,1)}
      50:{3,4,5}:{(38,1),(40,1),(56,1),(58,1),(63,1),(64,1)}
      51:{3,5,6}:{(38,1),(39,1),(64,1)}
      52:{2,3,4}:{(40,1),(62,1),(63,1)}
      53:{1,2,3,5}:{(41,1),(42,1),(65,1),(66,1)}
      54:{3,4,5}:{(42,1),(56,1),(65,1),(67,1)}
      55:{2,3,6}:{(42,1),(43,1),(67,1)}
      56:{4,5}:{(44,1),(69,1)}
      57:{2,3,5,6}:{(44,1),(45,1),(51,1),(55,1),(69,1),(73,1),(75,1),(80,1)}
      58:{1,4,5}:{(46,1),(49,1),(50,1),(70,1),(71,1)}
      59:{1,3,5,6}:{(46,1),(51,1),(71,1)}
      60:{1,3,4}:{(47,1),(49,1),(72,1)}
      61:{1,3,6}:{(47,1),(48,1)}
      62:{1,2,4}:{(49,1),(52,1),(70,1),(72,1)}
      63:{2,3,5}:{(50,1),(52,1),(68,1),(70,1),(73,1)}
      64:{3,4,6}:{(50,1),(51,1),(69,1),(71,1),(73,1)}
      65:{1,4,5}:{(53,1),(54,1),(74,1)}
      66:{1,2,3,6}:{(53,1),(55,1),(74,1)}
      67:{3,4,6}:{(54,1),(55,1),(69,1),(74,1),(75,1)}
      68:{2,4,5}:{(56,1),(63,1),(76,1)}
      69:{4,6}:{(56,1),(57,1)}
      70:{1,2,5}:{(58,1),(62,1),(63,1),(78,1)}
      71:{1,4,6}:{(58,1),(59,1),(64,1),(78,1)}
      72:{1,2,3}:{(60,1),(62,1)}
      73:{2,3,6}:{(63,1),(64,1),(76,1),(78,1)}
      74:{1,4,6}:{(65,1),(66,1),(67,1),(79,1)}
      75:{3,5,6}:{(67,1),(77,1),(79,1)}
      76:{2,4,6}:{(68,1),(69,1),(73,1),(80,1)}
      77:{4,5,6}:{(69,1),(75,1),(80,1)}
      78:{1,2,6}:{(70,1),(71,1),(73,1)}
      79:{1,5,6}:{(74,1),(75,1)}
      80:{2,5,6}:{(76,1),(77,1)}

349 :  0:{1,3,4,5}:{(1,1),(2,1),(20,1),(24,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(4,1),(12,1),(15,1)}
       2:{1,3,4,6}:{(0,1),(4,1),(5,1),(16,1),(30,1),(73,1)}
       3:{1,2,4}:{(1,1),(6,1)}
       4:{1,2,3,6}:{(1,1),(2,1),(8,1),(21,1),(77,1)}
       5:{1,3,5,6}:{(2,1),(10,1),(40,1),(78,1)}
       6:{2,3,4}:{(3,1),(12,1)}
       7:{1,2,4,5}:{(3,1),(12,1),(14,1),(15,1),(28,1),(32,1)}
       8:{1,2,4,6}:{(3,1),(4,1),(13,1),(15,1),(16,1),(71,1),(72,1)}
       9:{1,2,3,5,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(31,1),(35,1),(36,1),(56,1),(57,1),(71,1)}
      10:{1,4,5,6}:{(5,1),(16,1),(17,1),(18,1),(51,1),(74,1)}
      11:{1,2,3,4}:{(6,1),(19,1)}
      12:{2,3,5}:{(6,1),(7,1),(20,1),(21,1)}
      13:{2,3,4,6}:{(6,1),(8,1),(21,1),(22,1),(26,1),(41,1),(63,1),(66,1)}
      14:{1,2,4,6}:{(7,1),(21,1),(23,1),(39,1),(41,1)}
      15:{1,2,5}:{(8,1),(22,1),(24,1)}
      16:{1,4,6}:{(9,1),(24,1),(26,1),(41,1),(67,1)}
      17:{1,2,5,6}:{(10,1),(25,1),(27,1),(62,1),(69,1)}
      18:{3,4,5,6}:{(10,1),(26,1),(27,1),(68,1)}
      19:{1,2,3,5}:{(11,1),(12,1),(28,1),(29,1)}
      20:{3,4,5}:{(12,1),(28,1),(30,1),(32,1)}
      21:{2,3,6}:{(12,1),(14,1),(30,1)}
      22:{2,3,5}:{(13,1),(15,1),(32,1),(35,1)}
      23:{1,2,5,6}:{(14,1),(15,1),(31,1),(33,1),(50,1),(71,1)}
      24:{1,4,5}:{(15,1),(16,1),(32,1),(35,1)}
      25:{1,2,4,6}:{(16,1),(17,1),(34,1),(36,1),(38,1),(52,1),(71,1)}
      26:{3,4,6}:{(16,1),(35,1),(36,1),(58,1)}
      27:{2,3,5,6}:{(17,1),(18,1),(36,1),(38,1),(60,1)}
      28:{1,4,5}:{(19,1),(20,1),(39,1)}
      29:{1,2,3,6}:{(19,1),(21,1),(39,1)}
      30:{3,4,6}:{(20,1),(21,1),(39,1),(40,1),(41,1)}
      31:{2,3,5,6}:{(21,1),(22,1),(23,1),(40,1),(41,1),(44,1),(62,1),(63,1)}
      32:{4,5}:{(22,1),(41,1)}
      33:{1,4,5,6}:{(23,1),(24,1),(41,1),(44,1),(64,1)}
      34:{1,2,4,5}:{(24,1),(25,1),(42,1),(45,1),(49,1),(65,1),(67,1),(69,1)}
      35:{3,5}:{(24,1),(26,1)}
      36:{2,3,6}:{(25,1),(26,1),(45,1)}
      37:{1,3,4,6}:{(26,1),(46,1),(47,1),(64,1),(67,1)}
      38:{2,4,6}:{(27,1),(49,1)}
      39:{1,4,6}:{(28,1),(29,1),(30,1),(50,1)}
      40:{3,5,6}:{(30,1),(50,1),(51,1)}
      41:{4,6}:{(31,1),(32,1)}
      42:{2,4,5}:{(32,1),(52,1),(54,1)}
      43:{3,4,5}:{(32,1),(35,1),(53,1),(54,1),(55,1),(58,1)}
      44:{3,5,6}:{(33,1),(35,1),(53,1)}
      45:{2,3,5}:{(34,1),(35,1),(36,1),(58,1)}
      46:{1,3,5}:{(35,1),(37,1),(55,1)}
      47:{1,2,3,6}:{(36,1),(37,1),(57,1),(59,1),(71,1),(80,1)}
      48:{2,3,4,6}:{(36,1),(38,1),(58,1),(59,1),(60,1),(75,1)}
      49:{2,4,5}:{(38,1),(60,1)}
      50:{1,5,6}:{(39,1),(40,1)}
      51:{4,5,6}:{(40,1),(41,1),(62,1)}
      52:{2,4,6}:{(41,1),(42,1),(62,1),(63,1)}
      53:{3,4,6}:{(41,1),(43,1),(44,1),(63,1),(64,1)}
      54:{2,3,5}:{(42,1),(43,1),(63,1),(65,1),(66,1)}
      55:{1,4,5}:{(43,1),(46,1),(64,1),(65,1),(67,1)}
      56:{1,3,5,6}:{(44,1),(46,1),(64,1)}
      57:{1,2,3,5}:{(45,1),(46,1),(47,1),(65,1),(67,1),(69,1),(77,1),(78,1)}
      58:{3,4}:{(45,1),(67,1)}
      59:{1,2,4,6}:{(47,1),(48,1),(67,1),(69,1),(79,1)}
      60:{2,3,5}:{(48,1),(49,1),(68,1),(69,1)}
      61:{2,4,5,6}:{(49,1),(70,1)}
      62:{2,5,6}:{(51,1),(52,1)}
      63:{2,3,6}:{(52,1),(53,1),(54,1),(71,1)}
      64:{1,4,6}:{(53,1),(55,1),(56,1),(71,1)}
      65:{1,2,5}:{(54,1),(55,1),(71,1),(72,1)}
      66:{2,3,4}:{(54,1),(58,1),(72,1)}
      67:{1,4}:{(57,1),(58,1)}
      68:{3,4,5}:{(58,1),(60,1),(74,1),(75,1)}
      69:{1,2,5}:{(59,1),(60,1),(74,1)}
      70:{2,3,5,6}:{(60,1),(61,1),(75,1),(76,1)}
      71:{1,2,6}:{(63,1),(64,1),(65,1)}
      72:{1,2,4}:{(65,1),(66,1),(67,1),(77,1)}
      73:{1,3,4}:{(67,1),(77,1),(78,1)}
      74:{1,4,5}:{(67,1),(68,1),(69,1),(78,1),(79,1)}
      75:{3,4,6}:{(68,1),(70,1),(79,1)}
      76:{1,2,5,6}:{(69,1),(70,1),(79,1)}
      77:{1,2,3}:{(72,1),(73,1)}
      78:{1,3,5}:{(73,1),(74,1),(80,1)}
      79:{1,4,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

350 :   0:{2,3,4}:{(3,1),(4,1),(34,1),(235,1),(236,1)}
        1:{2,4,5}:{(4,1),(7,1),(23,1),(234,1),(235,1)}
        2:{2,3,4,6}:{(0,1),(9,1),(10,1),(13,1),(42,1),(46,1),(59,1),(99,1),(104,1),(105,1),(117,1),(165,1),(166,1),(210,1),(223,1)}
        3:{1,2,4}:{(0,1),(11,1),(12,1),(49,1)}
        4:{2,3,5}:{(0,1),(1,1),(8,1),(12,1),(13,1)}
        5:{1,3,4}:{(11,1),(15,1),(49,1),(214,1)}
        6:{1,2,4,5}:{(1,1),(12,1),(17,1),(18,1),(20,1),(45,1),(49,1),(53,1),(106,1),(109,1),(118,1),(168,1),(169,1),(213,1),(223,1)}
        7:{2,4,6}:{(1,1),(13,1),(16,1),(46,1)}
        8:{3,4,5}:{(4,1),(21,1),(22,1),(23,1),(34,1),(73,1),(88,1)}
        9:{1,2,4,6}:{(2,1),(3,1),(24,1),(25,1),(28,1),(67,1),(74,1),(75,1),(78,1),(130,1),(190,1)}
       10:{2,3,5}:{(2,1),(23,1),(25,1),(73,1),(88,1),(148,1),(196,1),(234,1)}
       11:{1,2,3}:{(3,1),(5,1),(236,1)}
       12:{1,2,5}:{(3,1),(4,1),(21,1),(28,1)}
       13:{2,3,6}:{(4,1),(7,1),(22,1),(28,1)}
       14:{1,3,4,6}:{(5,1),(24,1),(29,1),(31,1),(75,1),(78,1),(81,1),(128,1),(136,1),(188,1),(190,1)}
       15:{1,3,5}:{(5,1),(30,1),(31,1),(199,1)}
       16:{2,5,6}:{(7,1),(32,1),(234,1)}
       17:{2,3,5}:{(6,1),(34,1),(35,1),(73,1),(88,1),(135,1),(199,1),(236,1)}
       18:{1,2,4,6}:{(6,1),(7,1),(28,1),(33,1),(35,1),(38,1),(74,1),(78,1),(82,1),(86,1),(144,1)}
       19:{3,4,5}:{(30,1),(34,1),(36,1),(37,1),(88,1),(149,1),(199,1)}
       20:{2,4,5}:{(36,1),(38,1),(140,1),(149,1),(201,1)}
       21:{1,4,5}:{(8,1),(12,1),(40,1),(41,1),(49,1),(109,1)}
       22:{3,4,6}:{(8,1),(13,1),(39,1),(41,1),(46,1),(105,1)}
       23:{4,5}:{(10,1),(46,1),(223,1)}
       24:{1,2,3,6}:{(9,1),(11,1),(14,1),(47,1),(97,1),(105,1),(112,1),(166,1)}
       25:{1,2,5}:{(9,1),(10,1),(45,1),(109,1),(218,1)}
       26:{2,3,5,6}:{(10,1),(13,1),(16,1),(39,1),(46,1),(48,1),(55,1),(92,1),(99,1),(105,1)}
       27:{1,2,3,5}:{(11,1),(12,1),(15,1),(17,1),(40,1),(49,1),(50,1),(53,1),(95,1),(109,1)}
       28:{1,2,6}:{(12,1),(13,1),(41,1)}
       29:{1,3,5}:{(14,1),(51,1),(109,1),(167,1),(218,1)}
       30:{1,4,5}:{(15,1),(19,1),(49,1),(53,1),(54,1),(109,1)}
       31:{1,3,6}:{(15,1),(54,1),(174,1)}
       32:{4,5,6}:{(16,1),(46,1),(55,1),(211,1)}
       33:{1,2,5,6}:{(16,1),(18,1),(56,1),(57,1),(62,1),(109,1),(168,1),(175,1)}
       34:{3,4}:{(17,1),(49,1),(223,1)}
       35:{2,3,6}:{(17,1),(18,1),(59,1),(105,1),(174,1)}
       36:{2,3,5}:{(19,1),(20,1),(53,1),(58,1),(60,1)}
       37:{3,4,6}:{(19,1),(54,1),(60,1),(61,1),(121,1),(174,1)}
       38:{2,4,6}:{(20,1),(60,1),(62,1),(121,1)}
       39:{3,5,6}:{(22,1),(63,1),(64,1),(88,1)}
       40:{1,3,5}:{(21,1),(65,1),(66,1),(73,1)}
       41:{1,4,6}:{(21,1),(22,1),(28,1),(64,1),(66,1)}
       42:{2,3,4}:{(67,1),(68,1),(133,1),(206,1),(249,1)}
       43:{3,4,5}:{(23,1),(68,1),(69,1),(70,1),(73,1),(133,1),(196,1)}
       44:{2,4,5}:{(23,1),(68,1),(72,1),(148,1),(206,1)}
       45:{1,4,5}:{(23,1),(25,1),(73,1),(74,1),(75,1)}
       46:{4,6}:{(23,1),(26,1)}
       47:{1,2,3,5}:{(24,1),(25,1),(29,1),(73,1),(75,1),(80,1),(135,1),(197,1)}
       48:{1,2,5,6}:{(25,1),(26,1),(28,1),(64,1),(74,1),(84,1),(130,1)}
       49:{1,4}:{(27,1),(34,1)}
       50:{1,2,3,6}:{(27,1),(28,1),(31,1),(35,1),(66,1),(78,1),(82,1)}
       51:{1,4,5}:{(29,1),(75,1),(79,1),(80,1),(81,1)}
       52:{1,3,5,6}:{(29,1),(31,1),(81,1),(83,1),(142,1),(188,1),(239,1)}
       53:{1,2,5}:{(30,1),(36,1),(77,1),(82,1)}
       54:{1,4,6}:{(30,1),(31,1),(37,1),(82,1),(83,1)}
       55:{3,5,6}:{(32,1),(70,1),(84,1),(196,1)}
       56:{1,4,5,6}:{(32,1),(33,1),(74,1),(84,1),(85,1),(86,1),(91,1),(138,1),(144,1),(145,1),(152,1)}
       57:{2,3,5,6}:{(33,1),(35,1),(85,1),(86,1),(88,1),(146,1),(148,1),(197,1)}
       58:{2,3,4}:{(34,1),(36,1),(77,1),(135,1),(140,1)}
       59:{3,4,6}:{(34,1),(35,1),(78,1),(86,1),(88,1)}
       60:{2,3,6}:{(36,1),(37,1),(38,1),(82,1)}
       61:{3,5,6}:{(37,1),(83,1),(88,1),(89,1)}
       62:{2,5,6}:{(38,1),(91,1),(201,1)}
       63:{4,5,6}:{(39,1),(46,1),(92,1),(118,1)}
       64:{1,5,6}:{(39,1),(41,1),(109,1)}
       65:{1,3,4}:{(40,1),(49,1),(95,1),(104,1)}
       66:{1,3,6}:{(40,1),(41,1),(105,1)}
       67:{1,2,4}:{(42,1),(97,1),(98,1),(159,1)}
       68:{2,3,5}:{(42,1),(43,1),(44,1),(98,1),(99,1)}
       69:{1,4,5}:{(43,1),(98,1),(100,1),(101,1),(159,1),(218,1)}
       70:{3,4,6}:{(43,1),(46,1),(55,1),(99,1),(101,1),(105,1)}
       71:{1,2,4,5}:{(44,1),(45,1),(98,1),(102,1),(103,1),(106,1),(159,1),(168,1),(170,1),(211,1),(215,1),(218,1),(223,1),(230,1),(256,1)}
       72:{2,4,6}:{(44,1),(46,1),(92,1),(99,1)}
       73:{3,5}:{(45,1),(104,1),(105,1)}
       74:{1,4,6}:{(45,1),(46,1),(48,1),(105,1)}
       75:{1,4}:{(47,1),(104,1),(223,1)}
       76:{1,2,3,5,6}:{(47,1),(48,1),(50,1),(52,1),(57,1),(94,1),(105,1),(107,1),(109,1),(112,1),(114,1),(115,1),(153,1),(155,1),(157,1),(160,1),(166,1),(167,1),(168,1),(172,1),(174,1),(175,1),(218,1),(219,1),(229,1),(255,1),(262,1),(275,1)}
       77:{1,2,4}:{(49,1),(53,1),(58,1),(95,1)}
       78:{1,4,6}:{(49,1),(50,1),(59,1),(109,1)}
       79:{3,4,5}:{(51,1),(104,1),(110,1),(111,1),(167,1),(223,1),(227,1)}
       80:{1,2,5}:{(51,1),(106,1),(110,1),(112,1)}
       81:{1,4,6}:{(51,1),(52,1),(111,1),(112,1)}
       82:{1,2,6}:{(53,1),(54,1),(60,1)}
       83:{1,5,6}:{(54,1),(61,1),(109,1)}
       84:{1,5,6}:{(55,1),(101,1),(218,1)}
       85:{3,5,6}:{(56,1),(105,1),(116,1),(167,1),(174,1)}
       86:{4,6}:{(57,1),(118,1),(223,1)}
       87:{2,3,4,6}:{(58,1),(59,1),(60,1),(108,1),(117,1),(119,1),(121,1),(166,1),(171,1),(174,1),(180,1),(214,1),(223,1),(228,1),(231,1)}
       88:{3,5}:{(59,1),(109,1),(118,1)}
       89:{4,5,6}:{(61,1),(118,1),(120,1),(121,1)}
       90:{2,3,5,6}:{(60,1),(61,1),(62,1),(114,1),(119,1),(120,1),(121,1),(122,1),(174,1),(180,1)}
       91:{4,5,6}:{(62,1),(121,1),(122,1),(227,1)}
       92:{2,5,6}:{(63,1),(72,1),(148,1)}
       93:{1,4,5,6}:{(63,1),(64,1),(74,1),(123,1),(124,1),(125,1),(138,1),(182,1),(246,1),(267,1),(272,1)}
       94:{1,3,5,6}:{(64,1),(66,1),(124,1),(125,1),(127,1),(272,1),(279,1)}
       95:{1,2,3}:{(65,1),(77,1),(135,1)}
       96:{1,3,4,6}:{(65,1),(66,1),(78,1),(125,1),(126,1),(127,1),(136,1),(186,1),(248,1),(269,1),(279,1)}
       97:{1,2,3}:{(67,1),(128,1),(249,1)}
       98:{1,2,5}:{(67,1),(68,1),(69,1),(130,1)}
       99:{2,3,6}:{(68,1),(70,1),(72,1),(130,1)}
      100:{1,3,5}:{(69,1),(73,1),(131,1),(132,1)}
      101:{1,4,6}:{(69,1),(70,1),(84,1),(130,1),(132,1)}
      102:{2,3,5}:{(71,1),(73,1),(133,1),(134,1),(135,1),(196,1),(249,1),(268,1)}
      103:{1,2,4,6}:{(71,1),(72,1),(74,1),(123,1),(130,1),(134,1),(182,1),(190,1),(200,1),(238,1),(267,1)}
      104:{3,4}:{(73,1),(75,1),(135,1)}
      105:{3,6}:{(73,1),(74,1)}
      106:{1,2,4}:{(75,1),(80,1),(135,1),(140,1)}
      107:{1,4,6}:{(75,1),(76,1),(86,1),(136,1),(138,1),(182,1),(186,1),(202,1),(241,1)}
      108:{1,2,4,6}:{(77,1),(78,1),(82,1),(87,1),(126,1),(139,1),(144,1),(186,1),(209,1),(248,1),(250,1)}
      109:{1,5}:{(78,1),(88,1)}
      110:{2,3,5}:{(79,1),(80,1),(135,1),(140,1),(141,1),(201,1)}
      111:{3,4,6}:{(79,1),(81,1),(141,1),(142,1),(202,1)}
      112:{1,2,6}:{(80,1),(81,1),(141,1)}
      113:{1,4,5,6}:{(81,1),(83,1),(89,1),(138,1),(142,1),(143,1),(144,1),(202,1),(233,1),(239,1),(267,1)}
      114:{1,2,5,6}:{(82,1),(83,1),(90,1),(139,1),(144,1),(152,1),(209,1)}
      115:{1,3,5,6}:{(84,1),(85,1),(132,1),(145,1),(152,1),(192,1),(204,1)}
      116:{3,4,6}:{(85,1),(86,1),(145,1),(146,1),(147,1)}
      117:{2,4,6}:{(86,1),(146,1),(148,1),(206,1)}
      118:{4,5}:{(86,1),(88,1),(148,1)}
      119:{2,3,5}:{(87,1),(88,1),(139,1),(148,1),(149,1),(199,1),(201,1),(247,1)}
      120:{2,5,6}:{(89,1),(148,1),(150,1)}
      121:{4,6}:{(90,1),(149,1)}
      122:{3,5,6}:{(91,1),(151,1),(152,1),(247,1)}
      123:{1,2,5,6}:{(92,1),(93,1),(103,1),(153,1),(155,1),(168,1),(218,1),(226,1)}
      124:{3,5,6}:{(93,1),(105,1),(154,1),(167,1),(275,1)}
      125:{1,4,6}:{(94,1),(154,1),(155,1),(156,1)}
      126:{1,2,3,6}:{(95,1),(96,1),(108,1),(155,1),(157,1),(166,1),(174,1),(263,1)}
      127:{1,3,5}:{(96,1),(109,1),(156,1),(167,1),(262,1)}
      128:{1,3,4}:{(97,1),(158,1),(159,1),(257,1)}
      129:{1,2,3,5}:{(97,1),(98,1),(100,1),(102,1),(158,1),(159,1),(160,1),(161,1),(215,1),(218,1)}
      130:{1,2,6}:{(98,1),(99,1),(101,1)}
      131:{1,3,4}:{(100,1),(104,1),(159,1),(161,1)}
      132:{1,3,6}:{(100,1),(101,1),(105,1)}
      133:{3,4}:{(102,1),(159,1),(223,1)}
      134:{2,3,6}:{(102,1),(103,1),(105,1),(165,1),(275,1)}
      135:{2,3}:{(104,1),(106,1)}
      136:{3,4,6}:{(104,1),(105,1),(107,1),(166,1),(167,1),(174,1),(214,1),(223,1),(257,1),(275,1)}
      137:{1,2,4,6}:{(106,1),(107,1),(112,1),(117,1),(155,1),(166,1),(168,1),(171,1),(175,1),(210,1),(213,1),(223,1),(230,1)}
      138:{1,4,5}:{(107,1),(109,1),(118,1),(167,1),(168,1),(211,1),(218,1),(223,1),(227,1),(262,1)}
      139:{1,2,5}:{(108,1),(109,1),(119,1),(169,1),(262,1)}
      140:{2,4}:{(110,1),(223,1)}
      141:{2,3,6}:{(110,1),(111,1),(112,1),(171,1)}
      142:{3,5,6}:{(111,1),(113,1),(167,1),(174,1),(275,1)}
      143:{1,2,5,6}:{(112,1),(113,1),(120,1),(168,1),(172,1),(173,1),(251,1),(262,1)}
      144:{1,4,6}:{(114,1),(121,1),(169,1),(174,1)}
      145:{1,4,6}:{(115,1),(116,1),(175,1),(176,1)}
      146:{2,3,6}:{(116,1),(117,1),(175,1),(177,1)}
      147:{3,4,5}:{(116,1),(118,1),(167,1),(176,1),(177,1),(223,1),(257,1)}
      148:{2,5}:{(117,1),(118,1)}
      149:{4,5}:{(119,1),(121,1),(223,1)}
      150:{2,4,6}:{(120,1),(121,1),(178,1),(180,1)}
      151:{3,4,6}:{(121,1),(122,1),(174,1),(179,1),(180,1),(181,1)}
      152:{1,5,6}:{(122,1),(181,1),(262,1)}
      153:{2,3,5,6}:{(123,1),(124,1),(134,1),(182,1),(183,1),(196,1),(197,1),(234,1)}
      154:{3,4,6}:{(124,1),(125,1),(182,1),(183,1),(184,1)}
      155:{1,2,6}:{(125,1),(183,1),(185,1)}
      156:{1,4,5}:{(125,1),(127,1),(184,1),(185,1),(186,1)}
      157:{1,2,3,5}:{(126,1),(127,1),(139,1),(185,1),(186,1),(197,1),(199,1),(236,1)}
      158:{1,3,5}:{(128,1),(187,1),(188,1),(268,1)}
      159:{1,4}:{(129,1),(133,1)}
      160:{1,2,3,6}:{(129,1),(130,1),(132,1),(134,1),(188,1),(190,1),(238,1)}
      161:{1,2,3}:{(131,1),(135,1),(189,1)}
      162:{1,3,4,6}:{(131,1),(132,1),(136,1),(145,1),(190,1),(191,1),(192,1),(204,1),(237,1),(241,1),(248,1)}
      163:{3,4,5}:{(133,1),(187,1),(193,1),(194,1),(196,1),(243,1),(268,1)}
      164:{2,3,4}:{(133,1),(135,1),(140,1),(189,1),(193,1)}
      165:{3,4,6}:{(133,1),(134,1),(182,1),(190,1),(196,1)}
      166:{2,3,6}:{(135,1),(136,1),(137,1),(197,1),(236,1),(249,1)}
      167:{3,5}:{(136,1),(138,1)}
      168:{1,2,5}:{(137,1),(138,1),(148,1),(197,1),(201,1),(234,1)}
      169:{1,4,5}:{(139,1),(144,1),(149,1),(186,1),(199,1)}
      170:{2,4,5}:{(140,1),(193,1),(200,1),(201,1),(243,1)}
      171:{2,4,6}:{(140,1),(141,1),(201,1),(202,1)}
      172:{2,3,5,6}:{(141,1),(142,1),(143,1),(197,1),(201,1),(202,1),(203,1),(247,1)}
      173:{1,2,4,6}:{(143,1),(144,1),(150,1),(198,1),(202,1),(203,1),(209,1),(248,1),(264,1),(267,1),(278,1)}
      174:{3,6}:{(144,1),(199,1)}
      175:{1,2,6}:{(145,1),(146,1),(205,1)}
      176:{1,4,5}:{(145,1),(147,1),(192,1),(205,1),(241,1)}
      177:{2,3,5}:{(146,1),(147,1),(148,1),(205,1),(206,1),(249,1)}
      178:{2,4,5}:{(148,1),(149,1),(150,1),(206,1),(207,1)}
      179:{3,4,5}:{(149,1),(151,1),(199,1),(207,1),(208,1),(244,1),(247,1)}
      180:{2,3,6}:{(150,1),(151,1),(207,1),(209,1)}
      181:{1,4,6}:{(151,1),(152,1),(204,1),(208,1),(209,1)}
      182:{4,6}:{(153,1),(211,1),(223,1)}
      183:{2,3,6}:{(154,1),(155,1),(210,1),(212,1)}
      184:{3,4,5}:{(154,1),(156,1),(167,1),(211,1),(212,1),(214,1),(223,1)}
      185:{1,2,5}:{(155,1),(156,1),(212,1),(213,1)}
      186:{1,4}:{(157,1),(214,1),(223,1)}
      187:{1,4,5}:{(158,1),(159,1),(163,1),(215,1),(216,1),(218,1)}
      188:{1,3,6}:{(158,1),(216,1),(275,1)}
      189:{1,2,4}:{(159,1),(161,1),(164,1),(215,1)}
      190:{1,4,6}:{(159,1),(160,1),(165,1),(218,1)}
      191:{1,2,3,6}:{(161,1),(162,1),(166,1),(175,1),(217,1),(219,1),(254,1),(275,1)}
      192:{1,3,5}:{(162,1),(167,1),(176,1),(218,1),(262,1)}
      193:{2,3,5}:{(163,1),(164,1),(170,1),(215,1),(220,1)}
      194:{3,4,6}:{(163,1),(216,1),(220,1),(221,1),(258,1),(275,1)}
      195:{2,3,4,6}:{(164,1),(165,1),(166,1),(171,1),(210,1),(217,1),(220,1),(222,1),(223,1),(228,1),(253,1),(257,1),(258,1),(273,1),(275,1)}
      196:{3,5}:{(165,1),(211,1),(218,1)}
      197:{2,3,5}:{(166,1),(167,1),(168,1),(223,1)}
      198:{1,2,4,5}:{(168,1),(169,1),(173,1),(178,1),(213,1),(223,1),(224,1),(227,1),(230,1),(232,1),(252,1),(256,1),(260,1),(262,1),(274,1)}
      199:{3,5}:{(169,1),(174,1),(214,1)}
      200:{2,4,6}:{(170,1),(220,1),(226,1),(258,1)}
      201:{2,5}:{(171,1),(227,1)}
      202:{4,6}:{(172,1),(223,1),(227,1)}
      203:{2,3,6}:{(173,1),(174,1),(224,1),(228,1),(275,1)}
      204:{1,3,6}:{(174,1),(181,1),(225,1)}
      205:{1,2,5}:{(175,1),(176,1),(177,1),(230,1)}
      206:{2,4}:{(177,1),(223,1)}
      207:{2,3,5}:{(178,1),(179,1),(180,1),(231,1),(232,1)}
      208:{1,4,5}:{(179,1),(181,1),(225,1),(232,1),(260,1),(262,1)}
      209:{1,2,6}:{(180,1),(181,1),(232,1)}
      210:{2,4,6}:{(182,1),(183,1),(234,1),(235,1)}
      211:{4,5}:{(182,1),(196,1),(234,1)}
      212:{2,3,5}:{(183,1),(184,1),(185,1),(234,1),(235,1),(236,1)}
      213:{1,2,4}:{(185,1),(186,1),(235,1),(236,1)}
      214:{3,4}:{(186,1),(199,1),(236,1)}
      215:{1,2,5}:{(187,1),(189,1),(193,1),(238,1)}
      216:{1,4,6}:{(187,1),(188,1),(194,1),(238,1),(239,1)}
      217:{1,2,4,6}:{(189,1),(190,1),(191,1),(195,1),(238,1),(240,1),(241,1),(248,1),(266,1),(267,1),(278,1)}
      218:{1,5}:{(190,1),(196,1)}
      219:{1,2,3,5}:{(191,1),(192,1),(197,1),(205,1),(240,1),(241,1),(249,1),(268,1)}
      220:{2,3,6}:{(193,1),(194,1),(200,1),(238,1)}
      221:{3,5,6}:{(194,1),(196,1),(233,1),(239,1)}
      222:{2,3,5}:{(195,1),(196,1),(201,1),(234,1),(240,1),(243,1),(247,1),(268,1)}
      223:{4}:{(197,1)}
      224:{2,3,5}:{(198,1),(199,1),(203,1),(236,1),(244,1),(247,1),(249,1),(268,1)}
      225:{1,3,5}:{(199,1),(204,1),(208,1),(237,1)}
      226:{2,5,6}:{(200,1),(201,1),(246,1)}
      227:{4,5}:{(201,1),(202,1),(247,1)}
      228:{3,4,6}:{(202,1),(203,1),(244,1),(247,1),(248,1)}
      229:{1,2,3,6}:{(203,1),(204,1),(209,1),(245,1),(248,1),(278,1),(279,1)}
      230:{1,2,4}:{(205,1),(206,1),(241,1),(249,1)}
      231:{2,3,4}:{(206,1),(207,1),(244,1),(249,1),(250,1)}
      232:{1,2,5}:{(207,1),(208,1),(209,1),(250,1)}
      233:{4,5,6}:{(211,1),(221,1),(251,1),(258,1)}
      234:{2,5}:{(210,1),(211,1)}
      235:{2,4}:{(212,1),(223,1)}
      236:{2,3}:{(213,1),(214,1)}
      237:{1,3,4}:{(214,1),(225,1),(254,1),(260,1)}
      238:{1,2,6}:{(215,1),(216,1),(220,1)}
      239:{1,5,6}:{(216,1),(218,1),(221,1)}
      240:{1,2,5}:{(217,1),(218,1),(222,1),(256,1),(262,1)}
      241:{1,4}:{(219,1),(223,1),(257,1)}
      242:{2,3,5,6}:{(220,1),(221,1),(222,1),(226,1),(251,1),(255,1),(258,1),(261,1),(273,1),(275,1)}
      243:{4,5}:{(222,1),(223,1),(258,1)}
      244:{3,4}:{(223,1),(224,1),(260,1)}
      245:{1,2,3,5}:{(224,1),(225,1),(229,1),(232,1),(254,1),(260,1),(262,1),(263,1),(274,1),(276,1)}
      246:{4,5,6}:{(226,1),(227,1),(258,1),(261,1)}
      247:{3,5}:{(227,1),(228,1),(262,1)}
      248:{1,4,6}:{(228,1),(229,1),(260,1),(262,1)}
      249:{2,3}:{(230,1),(257,1)}
      250:{1,2,4}:{(231,1),(232,1),(260,1),(263,1)}
      251:{2,5,6}:{(233,1),(234,1),(264,1)}
      252:{2,4,5}:{(234,1),(235,1),(243,1),(264,1),(265,1)}
      253:{2,3,4}:{(235,1),(236,1),(244,1),(265,1),(266,1)}
      254:{1,2,3}:{(236,1),(237,1),(266,1)}
      255:{1,2,5,6}:{(238,1),(239,1),(240,1),(242,1),(267,1),(272,1),(278,1)}
      256:{1,4,5}:{(240,1),(241,1),(243,1),(267,1),(268,1)}
      257:{3,4}:{(241,1),(249,1),(268,1)}
      258:{4,6}:{(242,1),(243,1)}
      259:{3,4,5}:{(243,1),(244,1),(247,1),(265,1),(268,1),(270,1),(271,1)}
      260:{1,4}:{(244,1),(245,1)}
      261:{3,5,6}:{(246,1),(247,1),(270,1),(272,1)}
      262:{1,5}:{(247,1),(248,1)}
      263:{1,2,3}:{(249,1),(250,1),(269,1)}
      264:{2,4,6}:{(251,1),(252,1),(258,1),(273,1)}
      265:{2,3,5}:{(252,1),(253,1),(259,1),(273,1),(274,1)}
      266:{1,2,4}:{(253,1),(254,1),(260,1),(274,1)}
      267:{1,4,6}:{(255,1),(256,1),(258,1),(275,1)}
      268:{3,5}:{(256,1),(257,1),(275,1)}
      269:{1,3,4}:{(257,1),(260,1),(263,1),(276,1)}
      270:{3,4,6}:{(258,1),(259,1),(261,1),(273,1),(275,1),(277,1)}
      271:{1,4,5}:{(259,1),(260,1),(262,1),(274,1),(276,1),(277,1)}
      272:{1,5,6}:{(261,1),(262,1),(277,1)}
      273:{2,3,6}:{(264,1),(265,1),(270,1),(278,1)}
      274:{1,2,5}:{(265,1),(266,1),(271,1),(278,1)}
      275:{3,6}:{(267,1),(268,1)}
      276:{1,3,5}:{(268,1),(269,1),(271,1),(279,1)}
      277:{1,4,6}:{(270,1),(271,1),(272,1),(278,1),(279,1)}
      278:{1,2,6}:{(273,1),(274,1),(277,1)}
      279:{1,3,6}:{(275,1),(276,1),(277,1)}

351 :  0:{3,4,5,6}:{(2,1),(3,1),(29,1),(33,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(34,1),(39,1)}
       2:{2,3,5,6}:{(0,1),(7,1),(8,1),(19,1),(21,1)}
       3:{1,4,5,6}:{(0,1),(6,1),(7,1),(20,1),(42,1),(73,1)}
       4:{1,3,4,6}:{(1,1),(6,1),(9,1),(20,1),(53,1),(67,1)}
       5:{1,2,3,5}:{(1,1),(9,1),(10,1),(25,1),(27,1)}
       6:{1,3,5,6}:{(3,1),(4,1),(55,1),(64,1)}
       7:{1,2,5,6}:{(2,1),(3,1),(13,1),(31,1),(79,1)}
       8:{2,4,6}:{(2,1),(14,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(15,1),(40,1),(77,1)}
      10:{1,2,4}:{(5,1),(16,1)}
      11:{2,3,4,6}:{(8,1),(18,1),(19,1),(21,1),(43,1),(48,1)}
      12:{1,2,3,5,6}:{(6,1),(7,1),(9,1),(20,1),(21,1),(25,1),(44,1),(46,1),(50,1),(66,1),(80,1)}
      13:{1,2,4,6}:{(7,1),(8,1),(20,1),(21,1),(22,1),(72,1),(80,1)}
      14:{2,4,5}:{(8,1),(19,1)}
      15:{1,2,4,6}:{(9,1),(10,1),(20,1),(24,1),(25,1),(69,1),(80,1)}
      16:{2,3,4}:{(10,1),(27,1)}
      17:{1,2,4,5}:{(10,1),(25,1),(27,1),(28,1),(49,1),(51,1)}
      18:{1,2,4,6}:{(11,1),(30,1),(31,1),(56,1),(57,1)}
      19:{2,3,5}:{(11,1),(14,1),(29,1),(31,1)}
      20:{1,4,6}:{(12,1),(33,1),(34,1),(57,1),(62,1)}
      21:{2,3,6}:{(13,1),(33,1),(35,1)}
      22:{1,2,4,5}:{(13,1),(14,1),(31,1),(34,1),(35,1),(57,1),(61,1),(75,1)}
      23:{2,4,5,6}:{(14,1),(32,1)}
      24:{2,3,4,6}:{(15,1),(16,1),(33,1),(36,1),(40,1),(60,1),(62,1),(78,1)}
      25:{1,2,5}:{(15,1),(34,1),(36,1)}
      26:{1,2,3,4}:{(16,1),(38,1)}
      27:{2,3,5}:{(16,1),(17,1),(39,1),(40,1)}
      28:{1,2,4,6}:{(17,1),(37,1),(40,1),(62,1),(63,1)}
      29:{3,4,5}:{(19,1),(42,1),(43,1),(48,1)}
      30:{1,2,3,6}:{(18,1),(21,1),(41,1),(44,1),(68,1),(80,1)}
      31:{1,2,5}:{(18,1),(19,1),(42,1)}
      32:{2,3,5,6}:{(19,1),(23,1),(43,1),(45,1)}
      33:{3,4,6}:{(20,1),(21,1),(46,1),(48,1)}
      34:{1,4,5}:{(20,1),(25,1),(46,1),(49,1)}
      35:{2,3,5}:{(21,1),(22,1),(46,1),(48,1)}
      36:{2,3,5}:{(24,1),(25,1),(46,1),(49,1)}
      37:{1,2,5,6}:{(25,1),(28,1),(47,1),(50,1),(74,1),(80,1)}
      38:{1,2,3,5}:{(26,1),(27,1),(51,1),(52,1)}
      39:{3,4,5}:{(27,1),(49,1),(51,1),(53,1)}
      40:{2,3,6}:{(27,1),(28,1),(53,1)}
      41:{1,3,4,6}:{(30,1),(33,1),(54,1),(57,1),(76,1)}
      42:{1,4,5}:{(29,1),(31,1),(55,1),(56,1),(57,1)}
      43:{3,4,6}:{(29,1),(32,1),(56,1)}
      44:{1,2,3,5}:{(30,1),(31,1),(35,1),(54,1),(55,1),(57,1),(75,1),(77,1)}
      45:{1,2,5,6}:{(31,1),(32,1),(56,1)}
      46:{3,5}:{(33,1),(34,1)}
      47:{1,4,5,6}:{(34,1),(37,1),(59,1),(62,1),(76,1)}
      48:{3,4}:{(35,1),(57,1)}
      49:{4,5}:{(36,1),(62,1)}
      50:{2,3,5,6}:{(36,1),(37,1),(40,1),(59,1),(62,1),(64,1),(78,1),(79,1)}
      51:{1,4,5}:{(38,1),(39,1),(63,1)}
      52:{1,2,3,6}:{(38,1),(40,1),(63,1)}
      53:{3,4,6}:{(39,1),(40,1),(62,1),(63,1),(64,1)}
      54:{1,3,5}:{(41,1),(46,1),(65,1)}
      55:{1,3,5}:{(42,1),(67,1),(68,1)}
      56:{1,4,6}:{(42,1),(43,1),(45,1),(68,1)}
      57:{1,4}:{(44,1),(48,1)}
      58:{3,4,5}:{(46,1),(48,1),(49,1),(65,1),(70,1),(71,1)}
      59:{3,5,6}:{(46,1),(47,1),(71,1)}
      60:{2,3,4}:{(48,1),(69,1),(70,1)}
      61:{2,4,5}:{(49,1),(70,1),(72,1)}
      62:{4,6}:{(49,1),(50,1)}
      63:{1,4,6}:{(51,1),(52,1),(53,1),(74,1)}
      64:{3,5,6}:{(53,1),(73,1),(74,1)}
      65:{1,4,5}:{(54,1),(57,1),(58,1),(75,1),(76,1)}
      66:{1,3,5,6}:{(54,1),(59,1),(76,1)}
      67:{1,3,4}:{(55,1),(57,1),(77,1)}
      68:{1,3,6}:{(55,1),(56,1)}
      69:{1,2,4}:{(57,1),(60,1),(75,1),(77,1)}
      70:{2,3,5}:{(58,1),(60,1),(61,1),(75,1),(78,1)}
      71:{3,4,6}:{(58,1),(59,1),(62,1),(76,1),(78,1)}
      72:{2,4,6}:{(61,1),(62,1),(78,1),(79,1)}
      73:{4,5,6}:{(62,1),(64,1),(79,1)}
      74:{1,5,6}:{(63,1),(64,1)}
      75:{1,2,5}:{(65,1),(69,1),(70,1),(80,1)}
      76:{1,4,6}:{(65,1),(66,1),(71,1),(80,1)}
      77:{1,2,3}:{(67,1),(69,1)}
      78:{2,3,6}:{(70,1),(71,1),(72,1),(80,1)}
      79:{2,5,6}:{(72,1),(73,1)}
      80:{1,2,6}:{(75,1),(76,1),(78,1)}

352 :  0:{2,4,5}:{(2,1),(3,1),(39,1)}
       1:{4,5,6}:{(5,1),(6,1),(27,1),(75,1)}
       2:{2,4,6}:{(0,1),(5,1),(7,1),(27,1),(77,1)}
       3:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(29,1)}
       4:{3,4,5}:{(11,1),(12,1),(13,1),(39,1),(54,1),(60,1),(70,1),(73,1)}
       5:{2,5,6}:{(1,1),(2,1),(78,1)}
       6:{3,5,6}:{(1,1),(11,1),(15,1),(70,1)}
       7:{2,3,6}:{(2,1),(3,1),(16,1),(17,1),(74,1)}
       8:{1,2,5}:{(3,1),(16,1),(18,1),(41,1)}
       9:{3,4}:{(3,1),(18,1)}
      10:{1,3,4}:{(19,1),(20,1),(43,1),(68,1)}
      11:{3,4,6}:{(4,1),(6,1),(22,1),(23,1),(27,1),(50,1)}
      12:{2,3,5}:{(4,1),(22,1),(24,1),(25,1),(48,1),(49,1)}
      13:{1,4,5}:{(4,1),(19,1),(23,1),(24,1),(43,1),(63,1)}
      14:{2,3,5,6}:{(5,1),(6,1),(7,1),(22,1),(26,1),(27,1),(29,1),(48,1),(50,1),(67,1)}
      15:{1,5,6}:{(6,1),(23,1),(63,1)}
      16:{1,2,6}:{(7,1),(8,1),(28,1),(69,1)}
      17:{3,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(50,1),(68,1)}
      18:{1,4}:{(8,1),(9,1),(30,1)}
      19:{1,3,5}:{(10,1),(13,1),(31,1),(60,1)}
      20:{1,2,3}:{(10,1),(33,1),(74,1)}
      21:{2,3,4}:{(33,1),(34,1),(54,1)}
      22:{2,3,6}:{(11,1),(12,1),(35,1),(36,1)}
      23:{1,4,6}:{(11,1),(13,1),(15,1),(31,1),(35,1)}
      24:{1,2,5}:{(12,1),(13,1),(35,1),(37,1)}
      25:{2,4}:{(12,1),(73,1)}
      26:{1,2,5,6}:{(14,1),(15,1),(16,1),(35,1),(38,1),(41,1),(59,1)}
      27:{4,6}:{(14,1),(39,1),(73,1)}
      28:{1,4,6}:{(16,1),(17,1),(18,1),(40,1),(41,1),(61,1)}
      29:{3,5}:{(17,1),(39,1),(41,1)}
      30:{1,3}:{(18,1)}
      31:{1,3,6}:{(19,1),(23,1),(50,1)}
      32:{1,2,3,5}:{(19,1),(20,1),(24,1),(42,1),(43,1),(45,1),(49,1),(63,1),(65,1),(67,1)}
      33:{1,2,4}:{(20,1),(21,1),(43,1),(45,1),(77,1)}
      34:{2,3,5}:{(21,1),(44,1),(45,1),(46,1),(65,1)}
      35:{1,2,6}:{(22,1),(23,1),(24,1)}
      36:{2,4,6}:{(22,1),(25,1),(27,1),(48,1)}
      37:{1,2,4}:{(24,1),(25,1),(43,1),(49,1)}
      38:{1,4,6}:{(26,1),(27,1),(50,1),(51,1)}
      39:{4,5}:{(27,1),(29,1),(48,1)}
      40:{1,3,6}:{(28,1),(30,1),(50,1),(52,1)}
      41:{1,5}:{(28,1),(29,1)}
      42:{1,2,3,6}:{(31,1),(32,1),(35,1),(53,1),(57,1),(58,1),(72,1)}
      43:{1,4}:{(32,1),(54,1),(73,1)}
      44:{4,5}:{(34,1),(56,1)}
      45:{1,2,5}:{(33,1),(34,1),(55,1),(57,1),(78,1)}
      46:{2,3,6}:{(34,1),(56,1),(57,1),(72,1)}
      47:{1,2,4,6}:{(35,1),(36,1),(37,1),(38,1),(53,1),(58,1),(59,1),(73,1)}
      48:{2,5}:{(36,1),(39,1)}
      49:{2,3}:{(37,1),(54,1)}
      50:{3,6}:{(38,1),(60,1)}
      51:{1,4,5}:{(38,1),(39,1),(41,1),(59,1),(60,1),(61,1),(73,1)}
      52:{1,3,5}:{(40,1),(41,1),(60,1),(61,1)}
      53:{1,4,6}:{(42,1),(43,1),(62,1),(63,1)}
      54:{3,4}:{(43,1),(49,1),(65,1)}
      55:{1,4,5}:{(43,1),(44,1),(45,1),(63,1),(65,1),(66,1),(75,1)}
      56:{4,6}:{(44,1),(46,1),(64,1)}
      57:{1,2,6}:{(45,1),(46,1),(66,1),(80,1)}
      58:{2,3,6}:{(47,1),(49,1),(50,1),(62,1),(67,1),(80,1)}
      59:{1,2,5}:{(47,1),(48,1),(51,1),(63,1),(67,1),(69,1)}
      60:{3,5}:{(50,1),(51,1),(68,1)}
      61:{1,4}:{(52,1),(68,1),(69,1)}
      62:{3,4,6}:{(53,1),(54,1),(58,1),(70,1),(72,1),(73,1),(79,1)}
      63:{1,5}:{(53,1),(70,1)}
      64:{5,6}:{(56,1)}
      65:{3,5}:{(54,1),(55,1),(72,1)}
      66:{1,4,6}:{(55,1),(56,1),(57,1),(71,1),(72,1),(79,1)}
      67:{2,3,5}:{(58,1),(59,1),(60,1),(70,1),(73,1),(74,1),(78,1)}
      68:{3,4}:{(60,1),(61,1),(73,1),(74,1)}
      69:{1,2}:{(61,1),(74,1)}
      70:{3,5}:{(62,1),(63,1),(75,1)}
      71:{1,5,6}:{(63,1),(64,1),(66,1),(76,1)}
      72:{3,6}:{(65,1),(66,1)}
      73:{4}:{(67,1)}
      74:{2,3}:{(68,1),(69,1),(77,1)}
      75:{4,5}:{(70,1),(73,1),(78,1),(79,1)}
      76:{3,5,6}:{(70,1),(71,1),(72,1),(79,1)}
      77:{2,4}:{(73,1),(74,1),(78,1)}
      78:{2,5}:{(75,1),(77,1),(80,1)}
      79:{4,6}:{(75,1),(76,1),(80,1)}
      80:{2,6}:{(78,1),(79,1)}

353 :   0:{1,2,4,5}:{(2,1),(3,1),(15,1),(17,1),(39,1),(43,1),(46,1),(81,1),(86,1),(132,1),(140,1)}
        1:{1,4,5,6}:{(4,1),(5,1),(20,1),(22,1),(60,1),(71,1),(113,1),(119,1)}
        2:{1,2,4,6}:{(0,1),(4,1),(6,1),(22,1),(26,1),(32,1),(67,1),(113,1)}
        3:{2,3,5}:{(0,1),(6,1),(8,1),(27,1),(112,1),(162,1)}
        4:{1,2,5,6}:{(1,1),(2,1),(10,1),(36,1),(46,1),(50,1),(81,1)}
        5:{3,5,6}:{(1,1),(9,1),(83,1),(139,1)}
        6:{2,3,6}:{(2,1),(3,1),(14,1),(139,1)}
        7:{1,2,3,5}:{(3,1),(13,1),(15,1),(42,1),(43,1),(46,1),(48,1)}
        8:{3,4}:{(3,1),(15,1),(132,1)}
        9:{3,4,6}:{(5,1),(18,1),(19,1),(20,1),(22,1)}
       10:{2,3,5,6}:{(4,1),(5,1),(6,1),(19,1),(22,1),(27,1),(58,1),(106,1)}
       11:{1,3,5,6}:{(5,1),(20,1),(53,1),(119,1),(161,1)}
       12:{2,3,4}:{(8,1),(24,1),(25,1),(73,1),(157,1),(162,1)}
       13:{1,2,3,6}:{(6,1),(7,1),(26,1),(67,1),(70,1)}
       14:{3,4,6}:{(6,1),(8,1),(22,1),(26,1),(27,1)}
       15:{1,4}:{(7,1),(8,1)}
       16:{3,4,5}:{(8,1),(25,1),(27,1),(29,1),(30,1),(62,1),(73,1),(112,1),(122,1)}
       17:{2,4,5}:{(25,1),(32,1),(62,1),(157,1),(199,1)}
       18:{3,4,5}:{(9,1),(34,1),(35,1),(39,1),(83,1),(123,1),(132,1)}
       19:{2,3,6}:{(9,1),(34,1),(36,1),(37,1)}
       20:{1,4,6}:{(9,1),(11,1),(35,1),(36,1)}
       21:{1,2,3,5,6}:{(10,1),(11,1),(13,1),(36,1),(38,1),(46,1),(75,1),(80,1),(81,1),(83,1),(88,1),(89,1),(93,1),(126,1),(133,1),(139,1),(143,1),(172,1),(176,1),(211,1)}
       22:{4,6}:{(10,1),(39,1),(132,1)}
       23:{2,3,4,6}:{(12,1),(14,1),(37,1),(40,1),(41,1),(44,1),(77,1),(80,1),(87,1),(97,1),(129,1),(132,1),(138,1),(139,1),(146,1),(178,1),(179,1),(183,1),(214,1)}
       24:{1,2,4}:{(12,1),(15,1),(42,1),(43,1),(90,1)}
       25:{2,3,5}:{(12,1),(16,1),(17,1),(43,1),(44,1)}
       26:{1,4,6}:{(13,1),(14,1),(15,1),(46,1)}
       27:{3,5}:{(14,1),(39,1),(46,1)}
       28:{1,3,4}:{(15,1),(42,1),(48,1),(90,1),(138,1)}
       29:{1,4,5}:{(15,1),(16,1),(43,1),(46,1),(48,1),(49,1),(90,1),(142,1)}
       30:{3,4,6}:{(16,1),(44,1),(47,1),(49,1),(87,1),(139,1)}
       31:{1,2,4,5}:{(17,1),(43,1),(51,1),(52,1),(86,1),(90,1),(140,1),(142,1),(147,1),(185,1),(214,1)}
       32:{2,4,6}:{(17,1),(44,1),(50,1),(87,1)}
       33:{1,3,4,6}:{(20,1),(53,1),(54,1),(59,1),(98,1),(160,1),(161,1),(196,1)}
       34:{2,3,5}:{(18,1),(19,1),(55,1),(56,1),(58,1),(103,1)}
       35:{1,4,5}:{(18,1),(20,1),(53,1),(55,1),(98,1)}
       36:{1,2,6}:{(19,1),(20,1),(55,1)}
       37:{2,4,6}:{(19,1),(22,1),(56,1),(58,1)}
       38:{1,4,6}:{(21,1),(22,1),(59,1),(60,1),(98,1),(114,1),(158,1)}
       39:{4,5}:{(22,1),(27,1),(58,1)}
       40:{1,2,4,6}:{(23,1),(24,1),(26,1),(63,1),(64,1),(67,1),(101,1),(113,1),(114,1),(116,1),(154,1),(196,1)}
       41:{2,3,5}:{(23,1),(27,1),(58,1),(62,1),(64,1),(112,1),(122,1),(169,1),(198,1),(199,1)}
       42:{1,2,3}:{(24,1),(28,1),(162,1)}
       43:{1,2,5}:{(24,1),(25,1),(29,1),(67,1)}
       44:{2,3,6}:{(25,1),(30,1),(32,1),(67,1)}
       45:{1,3,4,6}:{(26,1),(28,1),(59,1),(63,1),(68,1),(70,1),(114,1),(116,1),(118,1),(148,1),(163,1),(190,1),(196,1)}
       46:{1,5}:{(26,1),(27,1)}
       47:{3,5,6}:{(27,1),(30,1),(61,1),(69,1),(122,1)}
       48:{1,3,5}:{(28,1),(29,1),(70,1),(112,1)}
       49:{1,4,6}:{(29,1),(30,1),(67,1),(69,1),(70,1)}
       50:{2,5,6}:{(32,1),(71,1),(199,1)}
       51:{2,3,5}:{(31,1),(73,1),(74,1),(112,1),(122,1),(162,1)}
       52:{1,2,4,6}:{(31,1),(32,1),(67,1),(72,1),(74,1),(113,1),(116,1),(121,1)}
       53:{1,3,5}:{(33,1),(35,1),(83,1),(211,1)}
       54:{1,2,3,6}:{(33,1),(36,1),(75,1),(76,1),(80,1),(172,1),(181,1)}
       55:{1,2,5}:{(34,1),(35,1),(36,1),(78,1)}
       56:{2,4}:{(34,1),(132,1)}
       57:{1,2,4,6}:{(36,1),(37,1),(38,1),(78,1),(80,1),(81,1),(132,1),(140,1),(143,1),(179,1)}
       58:{2,5}:{(37,1),(39,1)}
       59:{3,4,6}:{(38,1),(80,1),(83,1),(123,1),(132,1),(138,1),(139,1),(172,1)}
       60:{1,4,5}:{(38,1),(39,1),(46,1),(81,1),(83,1),(132,1),(180,1),(211,1)}
       61:{4,5,6}:{(39,1),(47,1),(82,1),(87,1),(147,1)}
       62:{4,5}:{(41,1),(87,1),(132,1),(214,1)}
       63:{1,2,3,6}:{(40,1),(42,1),(45,1),(80,1),(88,1),(127,1),(139,1),(143,1),(183,1)}
       64:{1,2,5}:{(40,1),(41,1),(46,1),(86,1),(142,1),(211,1)}
       65:{2,3,5,6}:{(41,1),(44,1),(47,1),(50,1),(82,1),(87,1),(89,1),(94,1),(129,1),(139,1)}
       66:{1,2,3,5}:{(42,1),(43,1),(48,1),(51,1),(90,1),(91,1),(142,1)}
       67:{1,2,6}:{(43,1),(44,1),(49,1)}
       68:{1,3,5}:{(45,1),(46,1),(83,1),(92,1),(142,1),(184,1),(211,1)}
       69:{1,5,6}:{(46,1),(47,1),(49,1),(142,1)}
       70:{1,3,6}:{(48,1),(49,1),(139,1)}
       71:{4,5,6}:{(50,1),(87,1),(94,1),(180,1)}
       72:{1,2,5,6}:{(50,1),(52,1),(95,1),(96,1),(142,1),(185,1),(186,1)}
       73:{3,4}:{(51,1),(90,1),(214,1)}
       74:{2,3,6}:{(51,1),(52,1),(97,1),(139,1)}
       75:{1,2,3,5}:{(53,1),(54,1),(55,1),(98,1),(100,1),(103,1),(106,1),(149,1)}
       76:{1,2,4,6}:{(54,1),(98,1),(99,1),(100,1),(150,1),(195,1),(196,1),(216,1)}
       77:{2,3,4}:{(56,1),(101,1),(102,1),(103,1),(155,1),(204,1),(222,1)}
       78:{1,2,4}:{(55,1),(56,1),(98,1),(103,1)}
       79:{2,4,5}:{(56,1),(58,1),(62,1),(102,1),(105,1),(169,1),(204,1)}
       80:{2,3,6}:{(57,1),(59,1),(103,1),(106,1),(162,1)}
       81:{1,2,5}:{(57,1),(58,1),(60,1),(106,1),(199,1)}
       82:{2,5,6}:{(58,1),(61,1),(105,1),(169,1)}
       83:{3,5}:{(59,1),(60,1)}
       84:{1,4,5,6}:{(60,1),(61,1),(69,1),(107,1),(109,1),(113,1),(118,1),(150,1),(158,1),(165,1),(194,1),(217,1),(227,1)}
       85:{3,4,5}:{(62,1),(102,1),(110,1),(111,1),(112,1),(155,1),(198,1)}
       86:{1,4,5}:{(62,1),(64,1),(112,1),(113,1),(114,1)}
       87:{4,6}:{(62,1),(65,1)}
       88:{1,2,3,5}:{(63,1),(64,1),(68,1),(106,1),(112,1),(114,1),(117,1),(162,1),(202,1)}
       89:{1,2,5,6}:{(64,1),(65,1),(67,1),(69,1),(113,1),(119,1),(154,1)}
       90:{1,4}:{(66,1),(73,1)}
       91:{1,2,3,6}:{(66,1),(67,1),(70,1),(74,1),(116,1)}
       92:{1,4,5}:{(68,1),(108,1),(114,1),(117,1),(118,1)}
       93:{1,3,5,6}:{(68,1),(69,1),(70,1),(109,1),(118,1),(190,1),(217,1)}
       94:{3,5,6}:{(71,1),(111,1),(119,1),(198,1)}
       95:{1,4,5,6}:{(71,1),(72,1),(113,1),(119,1),(120,1),(121,1),(165,1),(166,1)}
       96:{2,3,5,6}:{(72,1),(74,1),(120,1),(121,1),(122,1),(167,1),(169,1),(202,1)}
       97:{3,4,6}:{(73,1),(74,1),(116,1),(121,1),(122,1)}
       98:{1,4}:{(75,1),(123,1),(132,1)}
       99:{2,3,4,6}:{(76,1),(80,1),(123,1),(125,1),(132,1),(172,1),(174,1),(177,1),(178,1),(179,1),(207,1)}
      100:{1,2,5}:{(76,1),(124,1),(125,1),(211,1)}
      101:{1,2,4}:{(77,1),(127,1),(128,1),(175,1)}
      102:{2,3,5}:{(77,1),(79,1),(85,1),(128,1),(129,1)}
      103:{2,3}:{(78,1),(123,1)}
      104:{1,2,4,5}:{(78,1),(79,1),(81,1),(86,1),(124,1),(128,1),(130,1),(131,1),(132,1),(140,1),(173,1),(175,1),(180,1),(185,1),(205,1),(211,1),(214,1),(215,1),(225,1)}
      105:{2,4,6}:{(79,1),(82,1),(87,1),(129,1)}
      106:{2,3,5}:{(80,1),(81,1),(83,1),(132,1)}
      107:{1,2,5,6}:{(81,1),(82,1),(84,1),(131,1),(133,1),(143,1),(185,1),(209,1),(211,1)}
      108:{3,4,5}:{(83,1),(92,1),(132,1),(134,1),(135,1),(138,1),(180,1),(184,1),(214,1)}
      109:{3,5,6}:{(83,1),(84,1),(135,1),(139,1),(172,1),(184,1),(229,1)}
      110:{1,4,5}:{(85,1),(128,1),(136,1),(137,1),(175,1),(211,1)}
      111:{3,4,6}:{(85,1),(87,1),(94,1),(129,1),(137,1),(139,1)}
      112:{3,5}:{(86,1),(138,1),(139,1)}
      113:{1,4,6}:{(86,1),(87,1),(89,1),(139,1)}
      114:{1,4}:{(88,1),(132,1),(138,1),(214,1)}
      115:{1,2,3,5,6}:{(88,1),(89,1),(91,1),(93,1),(96,1),(133,1),(139,1),(141,1),(142,1),(143,1),(144,1),(176,1),(183,1),(184,1),(185,1),(186,1),(211,1),(213,1),(223,1),(229,1)}
      116:{1,4,6}:{(90,1),(91,1),(97,1),(142,1)}
      117:{1,2,5}:{(92,1),(134,1),(140,1),(143,1)}
      118:{1,4,6}:{(92,1),(93,1),(135,1),(143,1)}
      119:{1,5,6}:{(94,1),(137,1),(211,1)}
      120:{3,5,6}:{(95,1),(139,1),(145,1),(184,1)}
      121:{4,6}:{(96,1),(147,1),(214,1)}
      122:{3,5}:{(97,1),(142,1),(147,1)}
      123:{3,4}:{(98,1),(103,1),(149,1)}
      124:{1,4,5}:{(98,1),(100,1),(149,1),(150,1),(151,1)}
      125:{2,3,5}:{(99,1),(100,1),(149,1),(151,1),(198,1),(199,1)}
      126:{1,2,5,6}:{(100,1),(150,1),(152,1),(216,1),(217,1)}
      127:{1,2,3}:{(101,1),(103,1),(148,1),(222,1)}
      128:{1,2,5}:{(101,1),(102,1),(110,1),(154,1)}
      129:{2,3,6}:{(102,1),(105,1),(111,1),(154,1)}
      130:{2,3,5}:{(103,1),(104,1),(112,1),(149,1),(155,1),(156,1),(162,1),(198,1),(222,1),(228,1)}
      131:{1,2,4,6}:{(104,1),(105,1),(107,1),(113,1),(150,1),(154,1),(156,1),(158,1),(193,1),(196,1),(216,1),(227,1)}
      132:{4}:{(106,1)}
      133:{2,3,5,6}:{(106,1),(107,1),(109,1),(156,1),(158,1),(159,1),(198,1),(199,1),(202,1)}
      134:{2,3,5}:{(108,1),(117,1),(157,1),(159,1),(162,1),(199,1)}
      135:{3,4,6}:{(108,1),(109,1),(118,1),(158,1),(159,1)}
      136:{1,3,5}:{(110,1),(112,1),(160,1),(161,1)}
      137:{1,4,6}:{(110,1),(111,1),(119,1),(154,1),(161,1)}
      138:{3,4}:{(112,1),(114,1),(162,1)}
      139:{3,6}:{(112,1),(113,1)}
      140:{1,2,4}:{(114,1),(117,1),(157,1),(162,1)}
      141:{1,4,6}:{(114,1),(115,1),(121,1),(158,1),(163,1),(165,1),(221,1)}
      142:{1,5}:{(116,1),(122,1)}
      143:{1,2,6}:{(117,1),(118,1),(159,1)}
      144:{1,3,5,6}:{(119,1),(120,1),(161,1),(166,1),(201,1)}
      145:{3,4,6}:{(120,1),(121,1),(166,1),(167,1),(168,1)}
      146:{2,4,6}:{(121,1),(167,1),(169,1),(204,1)}
      147:{4,5}:{(121,1),(122,1),(169,1)}
      148:{1,3,4}:{(123,1),(127,1),(170,1),(175,1),(226,1)}
      149:{3,5}:{(123,1),(124,1),(172,1)}
      150:{1,4,6}:{(124,1),(126,1),(172,1),(174,1)}
      151:{4,5}:{(125,1),(132,1),(174,1)}
      152:{2,3,5,6}:{(125,1),(126,1),(172,1),(174,1),(207,1),(208,1),(209,1)}
      153:{1,2,3,5}:{(127,1),(128,1),(130,1),(136,1),(170,1),(175,1),(176,1),(181,1),(205,1),(211,1)}
      154:{1,2,6}:{(128,1),(129,1),(137,1)}
      155:{3,4}:{(130,1),(132,1),(175,1),(214,1)}
      156:{2,3,6}:{(130,1),(131,1),(139,1),(172,1),(178,1),(229,1)}
      157:{2,4}:{(132,1),(134,1),(214,1)}
      158:{4,6}:{(132,1),(133,1),(180,1),(214,1)}
      159:{2,3,6}:{(134,1),(135,1),(143,1),(179,1)}
      160:{1,3,4}:{(136,1),(138,1),(175,1),(181,1)}
      161:{1,3,6}:{(136,1),(137,1),(139,1)}
      162:{2,3}:{(138,1),(140,1)}
      163:{3,4,6}:{(138,1),(139,1),(141,1),(183,1),(184,1),(214,1),(226,1),(229,1)}
      164:{1,2,4,6}:{(140,1),(141,1),(143,1),(146,1),(179,1),(183,1),(185,1),(186,1),(214,1),(215,1)}
      165:{1,4,5}:{(141,1),(142,1),(147,1),(180,1),(184,1),(185,1),(211,1),(214,1)}
      166:{1,4,6}:{(144,1),(145,1),(186,1),(187,1)}
      167:{2,3,6}:{(145,1),(146,1),(186,1),(188,1)}
      168:{3,4,5}:{(145,1),(147,1),(184,1),(187,1),(188,1),(214,1),(226,1)}
      169:{2,5}:{(146,1),(147,1)}
      170:{1,3,5}:{(148,1),(149,1),(189,1),(190,1),(228,1)}
      171:{3,4,5}:{(149,1),(151,1),(155,1),(189,1),(191,1),(192,1),(198,1),(220,1),(228,1)}
      172:{3,6}:{(149,1),(150,1)}
      173:{2,4,5}:{(151,1),(157,1),(191,1),(193,1),(199,1),(220,1)}
      174:{4,6}:{(151,1),(152,1)}
      175:{1,4}:{(153,1),(155,1)}
      176:{1,2,3,6}:{(153,1),(154,1),(156,1),(161,1),(190,1),(196,1),(216,1)}
      177:{2,3,4}:{(155,1),(157,1),(162,1),(191,1),(195,1)}
      178:{3,4,6}:{(155,1),(156,1),(158,1),(196,1),(198,1)}
      179:{2,4,6}:{(157,1),(158,1),(159,1),(199,1)}
      180:{4,5}:{(158,1),(198,1),(199,1)}
      181:{1,2,3}:{(160,1),(162,1),(195,1)}
      182:{1,3,4,6}:{(160,1),(161,1),(163,1),(166,1),(196,1),(200,1),(201,1),(221,1)}
      183:{2,3,6}:{(162,1),(163,1),(164,1),(202,1),(222,1)}
      184:{3,5}:{(163,1),(165,1)}
      185:{1,2,5}:{(164,1),(165,1),(169,1),(199,1),(202,1)}
      186:{1,2,6}:{(166,1),(167,1),(203,1)}
      187:{1,4,5}:{(166,1),(168,1),(201,1),(203,1),(221,1)}
      188:{2,3,5}:{(167,1),(168,1),(169,1),(203,1),(204,1),(222,1)}
      189:{1,4,5}:{(170,1),(171,1),(175,1),(205,1),(206,1),(211,1)}
      190:{1,3,6}:{(170,1),(172,1),(206,1),(229,1)}
      191:{2,3,5}:{(171,1),(173,1),(177,1),(205,1),(207,1)}
      192:{3,4,6}:{(171,1),(172,1),(174,1),(206,1),(207,1),(208,1),(224,1),(229,1)}
      193:{2,4,6}:{(173,1),(174,1),(207,1),(209,1),(224,1)}
      194:{4,5,6}:{(174,1),(180,1),(208,1),(209,1),(224,1)}
      195:{1,2,4}:{(175,1),(177,1),(181,1),(205,1)}
      196:{1,4,6}:{(175,1),(176,1),(178,1),(211,1)}
      197:{2,3,4,6}:{(177,1),(178,1),(179,1),(183,1),(207,1),(210,1),(212,1),(214,1),(224,1),(226,1),(229,1)}
      198:{3,5}:{(178,1),(180,1),(211,1)}
      199:{2,5}:{(179,1),(180,1)}
      200:{1,2,3,6}:{(181,1),(182,1),(183,1),(186,1),(210,1),(213,1),(229,1)}
      201:{1,3,5}:{(182,1),(184,1),(187,1),(211,1)}
      202:{2,3,5}:{(183,1),(184,1),(185,1),(214,1)}
      203:{1,2,5}:{(186,1),(187,1),(188,1),(215,1)}
      204:{2,4}:{(188,1),(214,1)}
      205:{1,2,5}:{(189,1),(191,1),(195,1),(216,1)}
      206:{1,4,6}:{(189,1),(190,1),(192,1),(216,1),(217,1)}
      207:{2,3,6}:{(191,1),(192,1),(193,1),(216,1)}
      208:{3,5,6}:{(192,1),(194,1),(198,1),(217,1)}
      209:{2,5,6}:{(193,1),(194,1),(199,1)}
      210:{1,2,4,6}:{(195,1),(196,1),(197,1),(200,1),(216,1),(219,1),(221,1),(227,1)}
      211:{1,5}:{(196,1),(198,1)}
      212:{2,3,5}:{(197,1),(198,1),(199,1),(219,1),(220,1),(228,1)}
      213:{1,2,3,5}:{(200,1),(201,1),(202,1),(203,1),(219,1),(221,1),(222,1),(228,1)}
      214:{4}:{(202,1)}
      215:{1,2,4}:{(203,1),(204,1),(221,1),(222,1)}
      216:{1,2,6}:{(205,1),(206,1),(207,1)}
      217:{1,5,6}:{(206,1),(208,1),(211,1)}
      218:{2,3,5,6}:{(207,1),(208,1),(209,1),(212,1),(223,1),(224,1),(229,1)}
      219:{1,2,5}:{(210,1),(211,1),(212,1),(225,1)}
      220:{4,5}:{(212,1),(214,1),(224,1)}
      221:{1,4}:{(213,1),(214,1),(226,1)}
      222:{2,3}:{(215,1),(226,1)}
      223:{1,2,5,6}:{(216,1),(217,1),(218,1),(219,1),(227,1)}
      224:{4,6}:{(218,1),(220,1)}
      225:{1,4,5}:{(219,1),(220,1),(221,1),(227,1),(228,1)}
      226:{3,4}:{(221,1),(222,1),(228,1)}
      227:{1,4,6}:{(223,1),(224,1),(225,1),(229,1)}
      228:{3,5}:{(225,1),(226,1),(229,1)}
      229:{3,6}:{(227,1),(228,1)}

354 :   0:{2,3,4}:{(4,1),(5,1),(37,1),(244,1),(249,1)}
        1:{2,4,5}:{(5,1),(7,1),(25,1),(237,1),(244,1)}
        2:{2,3,4,6}:{(0,1),(8,1),(10,1),(11,1),(18,1),(42,1),(47,1),(61,1),(103,1),(104,1),(109,1),(158,1),(167,1),(214,1),(223,1)}
        3:{4,5,6}:{(12,1),(13,1),(47,1),(215,1)}
        4:{1,2,4}:{(0,1),(16,1),(17,1),(57,1)}
        5:{2,3,5}:{(0,1),(1,1),(15,1),(17,1),(18,1)}
        6:{1,2,4,5}:{(1,1),(17,1),(19,1),(20,1),(46,1),(57,1),(62,1),(105,1),(110,1),(112,1),(118,1),(169,1),(178,1),(223,1),(229,1)}
        7:{2,4,6}:{(1,1),(13,1),(18,1),(47,1)}
        8:{2,3,4}:{(21,1),(22,1),(126,1),(143,1),(199,1)}
        9:{3,4,5}:{(22,1),(23,1),(24,1),(25,1),(72,1),(126,1),(188,1)}
       10:{1,2,4,6}:{(2,1),(4,1),(21,1),(26,1),(27,1),(36,1),(67,1),(73,1),(74,1),(86,1),(129,1)}
       11:{2,3,5}:{(2,1),(25,1),(27,1),(72,1),(90,1),(142,1),(188,1),(237,1)}
       12:{3,5,6}:{(3,1),(24,1),(29,1),(188,1)}
       13:{2,5,6}:{(3,1),(7,1),(237,1)}
       14:{1,4,5,6}:{(3,1),(29,1),(30,1),(31,1),(73,1),(76,1),(77,1),(139,1),(152,1),(203,1),(209,1)}
       15:{3,4,5}:{(5,1),(25,1),(33,1),(34,1),(37,1),(72,1),(90,1)}
       16:{1,2,3}:{(4,1),(32,1),(249,1)}
       17:{1,2,5}:{(4,1),(5,1),(33,1),(36,1)}
       18:{2,3,6}:{(5,1),(7,1),(34,1),(36,1)}
       19:{2,3,5}:{(6,1),(37,1),(38,1),(72,1),(90,1),(136,1),(206,1),(249,1)}
       20:{1,2,4,6}:{(6,1),(7,1),(30,1),(36,1),(38,1),(73,1),(77,1),(86,1),(91,1),(144,1),(203,1)}
       21:{1,2,4}:{(8,1),(40,1),(41,1),(96,1)}
       22:{2,3,5}:{(8,1),(9,1),(39,1),(41,1),(42,1)}
       23:{1,4,5}:{(9,1),(41,1),(43,1),(44,1),(96,1),(160,1)}
       24:{3,4,6}:{(9,1),(12,1),(42,1),(44,1),(47,1),(104,1)}
       25:{4,5}:{(11,1),(47,1),(223,1)}
       26:{1,2,3,6}:{(10,1),(16,1),(40,1),(45,1),(48,1),(104,1),(164,1),(167,1)}
       27:{1,2,5}:{(10,1),(11,1),(46,1),(118,1),(160,1)}
       28:{2,3,5,6}:{(11,1),(12,1),(13,1),(18,1),(42,1),(47,1),(49,1),(54,1),(93,1),(104,1)}
       29:{1,5,6}:{(12,1),(44,1),(160,1)}
       30:{1,2,5,6}:{(13,1),(14,1),(20,1),(51,1),(107,1),(118,1),(122,1),(169,1)}
       31:{3,5,6}:{(14,1),(52,1),(104,1),(168,1),(228,1)}
       32:{1,3,4}:{(16,1),(53,1),(57,1),(230,1)}
       33:{1,4,5}:{(15,1),(17,1),(55,1),(56,1),(57,1),(118,1)}
       34:{3,4,6}:{(15,1),(18,1),(47,1),(54,1),(56,1),(104,1)}
       35:{1,2,3,5}:{(16,1),(17,1),(19,1),(53,1),(55,1),(57,1),(58,1),(112,1),(115,1),(118,1)}
       36:{1,2,6}:{(17,1),(18,1),(56,1)}
       37:{3,4}:{(19,1),(57,1),(223,1)}
       38:{2,3,6}:{(19,1),(20,1),(61,1),(104,1),(228,1)}
       39:{2,4,5}:{(22,1),(25,1),(65,1),(142,1),(143,1)}
       40:{1,2,3}:{(21,1),(63,1),(199,1)}
       41:{1,2,5}:{(21,1),(22,1),(23,1),(67,1)}
       42:{2,3,6}:{(22,1),(24,1),(65,1),(67,1)}
       43:{1,3,5}:{(23,1),(68,1),(69,1),(72,1)}
       44:{1,4,6}:{(23,1),(24,1),(29,1),(67,1),(69,1)}
       45:{1,3,4,6}:{(26,1),(32,1),(63,1),(70,1),(74,1),(81,1),(86,1),(124,1),(129,1),(134,1),(137,1)}
       46:{1,4,5}:{(25,1),(27,1),(72,1),(73,1),(74,1)}
       47:{4,6}:{(25,1),(28,1)}
       48:{1,2,3,5}:{(26,1),(27,1),(70,1),(72,1),(74,1),(133,1),(136,1),(197,1)}
       49:{1,2,5,6}:{(27,1),(28,1),(29,1),(36,1),(67,1),(73,1),(82,1)}
       50:{1,3,5,6}:{(29,1),(31,1),(69,1),(76,1),(131,1),(209,1),(248,1)}
       51:{2,3,5,6}:{(30,1),(31,1),(38,1),(77,1),(78,1),(90,1),(142,1),(197,1)}
       52:{3,4,6}:{(31,1),(76,1),(77,1),(78,1),(79,1)}
       53:{1,3,5}:{(32,1),(80,1),(81,1),(206,1)}
       54:{3,5,6}:{(34,1),(71,1),(82,1),(90,1)}
       55:{1,3,5}:{(33,1),(72,1),(83,1),(84,1)}
       56:{1,4,6}:{(33,1),(34,1),(36,1),(82,1),(84,1)}
       57:{1,4}:{(35,1),(37,1)}
       58:{1,2,3,6}:{(35,1),(36,1),(38,1),(81,1),(84,1),(86,1),(144,1)}
       59:{3,4,5}:{(37,1),(80,1),(87,1),(88,1),(90,1),(151,1),(206,1)}
       60:{2,3,4}:{(37,1),(85,1),(87,1),(136,1),(191,1)}
       61:{3,4,6}:{(37,1),(38,1),(77,1),(86,1),(90,1)}
       62:{2,4,5}:{(87,1),(91,1),(151,1),(191,1),(241,1)}
       63:{1,3,4}:{(40,1),(92,1),(96,1),(218,1)}
       64:{1,2,4,5}:{(39,1),(41,1),(46,1),(94,1),(95,1),(96,1),(105,1),(154,1),(160,1),(169,1),(170,1),(210,1),(215,1),(217,1),(223,1)}
       65:{2,4,6}:{(39,1),(42,1),(47,1),(93,1)}
       66:{1,2,3,5}:{(40,1),(41,1),(43,1),(92,1),(94,1),(96,1),(97,1),(98,1),(154,1),(160,1)}
       67:{1,2,6}:{(41,1),(42,1),(44,1)}
       68:{1,3,4}:{(43,1),(96,1),(98,1),(103,1)}
       69:{1,3,6}:{(43,1),(44,1),(104,1)}
       70:{1,3,5}:{(45,1),(100,1),(118,1),(160,1),(168,1)}
       71:{4,5,6}:{(47,1),(54,1),(93,1),(110,1)}
       72:{3,5}:{(46,1),(103,1),(104,1)}
       73:{1,4,6}:{(46,1),(47,1),(49,1),(104,1)}
       74:{1,4}:{(48,1),(103,1),(223,1)}
       75:{1,2,3,5,6}:{(48,1),(49,1),(50,1),(51,1),(58,1),(97,1),(101,1),(104,1),(106,1),(107,1),(114,1),(118,1),(156,1),(160,1),(161,1),(164,1),(167,1),(168,1),(169,1),(174,1),(175,1),(177,1),(213,1),(220,1),(228,1),(254,1),(260,1),(277,1)}
       76:{1,4,6}:{(50,1),(52,1),(107,1),(108,1)}
       77:{4,6}:{(51,1),(110,1),(223,1)}
       78:{2,3,6}:{(52,1),(107,1),(109,1),(111,1)}
       79:{3,4,5}:{(52,1),(108,1),(110,1),(111,1),(168,1),(218,1),(223,1)}
       80:{1,4,5}:{(53,1),(57,1),(59,1),(112,1),(113,1),(118,1)}
       81:{1,3,6}:{(53,1),(113,1),(228,1)}
       82:{1,5,6}:{(54,1),(56,1),(118,1)}
       83:{1,3,4}:{(55,1),(57,1),(103,1),(115,1)}
       84:{1,3,6}:{(55,1),(56,1),(104,1)}
       85:{1,2,4}:{(57,1),(60,1),(112,1),(115,1)}
       86:{1,4,6}:{(57,1),(58,1),(61,1),(118,1)}
       87:{2,3,5}:{(59,1),(60,1),(62,1),(112,1),(119,1)}
       88:{3,4,6}:{(59,1),(113,1),(119,1),(120,1),(179,1),(228,1)}
       89:{2,3,4,6}:{(60,1),(61,1),(109,1),(117,1),(119,1),(121,1),(167,1),(173,1),(179,1),(219,1),(223,1),(226,1),(228,1),(230,1),(259,1)}
       90:{3,5}:{(61,1),(110,1),(118,1)}
       91:{2,4,6}:{(62,1),(119,1),(122,1),(179,1)}
       92:{1,3,5}:{(63,1),(123,1),(124,1),(239,1)}
       93:{2,5,6}:{(65,1),(71,1),(142,1)}
       94:{2,3,5}:{(64,1),(72,1),(126,1),(127,1),(136,1),(188,1),(199,1),(239,1)}
       95:{1,2,4,6}:{(64,1),(65,1),(67,1),(73,1),(125,1),(127,1),(129,1),(184,1),(186,1),(233,1),(236,1)}
       96:{1,4}:{(66,1),(126,1)}
       97:{1,2,3,6}:{(66,1),(67,1),(69,1),(124,1),(127,1),(129,1),(184,1)}
       98:{1,2,3}:{(68,1),(128,1),(136,1)}
       99:{1,3,4,6}:{(68,1),(69,1),(76,1),(129,1),(130,1),(131,1),(137,1),(190,1),(248,1),(250,1),(271,1)}
      100:{1,4,5}:{(70,1),(74,1),(132,1),(133,1),(134,1)}
      101:{1,3,5,6}:{(70,1),(81,1),(124,1),(134,1),(145,1),(185,1),(193,1)}
      102:{1,4,5,6}:{(71,1),(73,1),(82,1),(125,1),(135,1),(139,1),(146,1),(186,1),(236,1),(264,1),(278,1)}
      103:{3,4}:{(72,1),(74,1),(136,1)}
      104:{3,6}:{(72,1),(73,1)}
      105:{1,2,4}:{(74,1),(133,1),(136,1),(191,1)}
      106:{1,4,6}:{(74,1),(75,1),(77,1),(137,1),(139,1),(186,1),(190,1),(205,1),(242,1)}
      107:{1,2,6}:{(76,1),(78,1),(140,1)}
      108:{1,4,5}:{(76,1),(79,1),(131,1),(140,1),(190,1)}
      109:{2,4,6}:{(77,1),(78,1),(142,1),(143,1)}
      110:{4,5}:{(77,1),(90,1),(142,1)}
      111:{2,3,5}:{(78,1),(79,1),(140,1),(142,1),(143,1),(199,1)}
      112:{1,2,5}:{(80,1),(85,1),(87,1),(144,1)}
      113:{1,4,6}:{(80,1),(81,1),(88,1),(144,1),(145,1)}
      114:{1,3,5,6}:{(82,1),(84,1),(135,1),(146,1),(148,1),(267,1),(278,1)}
      115:{1,2,3}:{(83,1),(85,1),(136,1)}
      116:{1,3,4,6}:{(83,1),(84,1),(86,1),(137,1),(146,1),(147,1),(148,1),(205,1),(240,1),(267,1),(271,1)}
      117:{1,2,4,6}:{(85,1),(86,1),(89,1),(144,1),(147,1),(149,1),(202,1),(203,1),(205,1),(247,1),(271,1)}
      118:{1,5}:{(86,1),(90,1)}
      119:{2,3,6}:{(87,1),(88,1),(91,1),(144,1)}
      120:{3,5,6}:{(88,1),(90,1),(141,1),(145,1)}
      121:{2,3,5}:{(89,1),(90,1),(142,1),(149,1),(151,1),(206,1),(241,1),(270,1)}
      122:{2,5,6}:{(91,1),(152,1),(241,1)}
      123:{1,4,5}:{(92,1),(96,1),(153,1),(154,1),(155,1),(160,1)}
      124:{1,3,6}:{(92,1),(155,1),(254,1)}
      125:{1,2,5,6}:{(93,1),(95,1),(102,1),(156,1),(160,1),(169,1),(175,1),(251,1)}
      126:{3,4}:{(94,1),(96,1),(223,1)}
      127:{2,3,6}:{(94,1),(95,1),(104,1),(158,1),(254,1)}
      128:{1,2,4}:{(96,1),(98,1),(154,1),(157,1)}
      129:{1,4,6}:{(96,1),(97,1),(158,1),(160,1)}
      130:{1,2,3,6}:{(98,1),(99,1),(107,1),(159,1),(161,1),(167,1),(254,1),(263,1)}
      131:{1,3,5}:{(99,1),(108,1),(160,1),(168,1),(277,1)}
      132:{3,4,5}:{(100,1),(103,1),(162,1),(163,1),(168,1),(223,1),(258,1)}
      133:{1,2,5}:{(100,1),(105,1),(162,1),(164,1)}
      134:{1,4,6}:{(100,1),(101,1),(163,1),(164,1)}
      135:{3,5,6}:{(102,1),(104,1),(166,1),(168,1),(254,1)}
      136:{2,3}:{(103,1),(105,1)}
      137:{3,4,6}:{(103,1),(104,1),(106,1),(167,1),(168,1),(218,1),(223,1),(228,1),(230,1),(254,1)}
      138:{1,2,4,6}:{(105,1),(106,1),(107,1),(109,1),(164,1),(167,1),(169,1),(170,1),(175,1),(214,1),(219,1),(223,1),(229,1)}
      139:{1,4,5}:{(106,1),(110,1),(118,1),(160,1),(168,1),(169,1),(215,1),(223,1),(258,1),(277,1)}
      140:{1,2,5}:{(107,1),(108,1),(111,1),(170,1)}
      141:{4,5,6}:{(110,1),(120,1),(171,1),(179,1)}
      142:{2,5}:{(109,1),(110,1)}
      143:{2,4}:{(111,1),(223,1)}
      144:{1,2,6}:{(112,1),(113,1),(119,1)}
      145:{1,5,6}:{(113,1),(118,1),(120,1)}
      146:{1,4,6}:{(114,1),(166,1),(175,1),(176,1)}
      147:{1,2,3,6}:{(115,1),(116,1),(117,1),(167,1),(175,1),(177,1),(225,1),(228,1)}
      148:{1,3,5}:{(116,1),(118,1),(168,1),(176,1),(277,1)}
      149:{1,2,5}:{(117,1),(118,1),(121,1),(178,1),(277,1)}
      150:{2,3,5,6}:{(119,1),(120,1),(121,1),(122,1),(171,1),(174,1),(179,1),(181,1),(226,1),(228,1)}
      151:{4,5}:{(121,1),(179,1),(223,1)}
      152:{4,5,6}:{(122,1),(179,1),(181,1),(258,1)}
      153:{3,4,5}:{(123,1),(126,1),(182,1),(183,1),(188,1),(238,1),(239,1)}
      154:{1,2,5}:{(123,1),(128,1),(182,1),(184,1)}
      155:{1,4,6}:{(123,1),(124,1),(183,1),(184,1),(185,1)}
      156:{2,3,5,6}:{(125,1),(127,1),(135,1),(186,1),(188,1),(195,1),(197,1),(237,1)}
      157:{2,3,4}:{(126,1),(128,1),(136,1),(182,1),(191,1)}
      158:{3,4,6}:{(126,1),(127,1),(129,1),(186,1),(188,1)}
      159:{1,2,4,6}:{(128,1),(129,1),(130,1),(184,1),(187,1),(189,1),(190,1),(236,1),(271,1),(272,1),(279,1)}
      160:{1,5}:{(129,1),(188,1)}
      161:{1,2,3,5}:{(130,1),(131,1),(140,1),(189,1),(190,1),(197,1),(199,1),(239,1)}
      162:{2,3,5}:{(132,1),(133,1),(136,1),(191,1),(192,1),(241,1)}
      163:{3,4,6}:{(132,1),(134,1),(192,1),(193,1),(242,1)}
      164:{1,2,6}:{(133,1),(134,1),(192,1)}
      165:{1,4,5,6}:{(134,1),(139,1),(141,1),(145,1),(185,1),(193,1),(194,1),(203,1),(234,1),(236,1),(242,1)}
      166:{3,4,6}:{(135,1),(146,1),(186,1),(195,1),(196,1)}
      167:{2,3,6}:{(136,1),(137,1),(138,1),(197,1),(199,1),(249,1)}
      168:{3,5}:{(137,1),(139,1)}
      169:{1,2,5}:{(138,1),(139,1),(142,1),(197,1),(237,1),(241,1)}
      170:{1,2,4}:{(140,1),(143,1),(190,1),(199,1)}
      171:{2,5,6}:{(141,1),(142,1),(200,1)}
      172:{2,4,5}:{(142,1),(143,1),(151,1),(200,1),(201,1)}
      173:{2,3,4}:{(143,1),(199,1),(201,1),(202,1),(245,1)}
      174:{1,2,5,6}:{(144,1),(145,1),(149,1),(150,1),(203,1),(209,1),(247,1)}
      175:{1,2,6}:{(146,1),(195,1),(204,1)}
      176:{1,4,5}:{(146,1),(148,1),(196,1),(204,1),(205,1)}
      177:{1,2,3,5}:{(147,1),(148,1),(149,1),(197,1),(204,1),(205,1),(206,1),(249,1)}
      178:{1,4,5}:{(149,1),(151,1),(203,1),(205,1),(206,1)}
      179:{4,6}:{(150,1),(151,1)}
      180:{3,4,5}:{(151,1),(201,1),(206,1),(207,1),(208,1),(245,1),(270,1)}
      181:{3,5,6}:{(152,1),(207,1),(209,1),(270,1)}
      182:{2,3,5}:{(153,1),(154,1),(157,1),(210,1),(211,1)}
      183:{3,4,6}:{(153,1),(155,1),(211,1),(212,1),(253,1),(254,1)}
      184:{1,2,6}:{(154,1),(155,1),(211,1)}
      185:{1,5,6}:{(155,1),(160,1),(212,1)}
      186:{4,6}:{(156,1),(215,1),(223,1)}
      187:{2,3,4,6}:{(157,1),(158,1),(159,1),(167,1),(211,1),(214,1),(216,1),(218,1),(219,1),(223,1),(253,1),(254,1),(259,1),(261,1),(274,1)}
      188:{3,5}:{(158,1),(160,1),(215,1)}
      189:{1,2,5}:{(159,1),(160,1),(216,1),(217,1),(277,1)}
      190:{1,4}:{(161,1),(218,1),(223,1)}
      191:{2,4}:{(162,1),(223,1)}
      192:{2,3,6}:{(162,1),(163,1),(164,1),(219,1)}
      193:{3,5,6}:{(163,1),(165,1),(168,1),(228,1),(254,1)}
      194:{1,2,5,6}:{(164,1),(165,1),(169,1),(171,1),(220,1),(221,1),(252,1),(277,1)}
      195:{2,3,6}:{(166,1),(175,1),(214,1),(222,1)}
      196:{3,4,5}:{(166,1),(168,1),(176,1),(215,1),(222,1),(223,1),(230,1)}
      197:{2,3,5}:{(167,1),(168,1),(169,1),(223,1)}
      198:{1,2,4,5}:{(169,1),(170,1),(172,1),(178,1),(217,1),(221,1),(223,1),(224,1),(227,1),(229,1),(255,1),(258,1),(262,1),(276,1),(277,1)}
      199:{2,3}:{(170,1),(218,1)}
      200:{2,4,6}:{(171,1),(172,1),(179,1),(226,1)}
      201:{2,3,5}:{(172,1),(173,1),(180,1),(226,1),(227,1)}
      202:{1,2,4}:{(173,1),(225,1),(227,1),(262,1)}
      203:{1,4,6}:{(174,1),(178,1),(179,1),(228,1)}
      204:{1,2,5}:{(175,1),(176,1),(222,1),(229,1)}
      205:{1,4}:{(177,1),(223,1),(230,1)}
      206:{3,5}:{(178,1),(228,1),(230,1)}
      207:{3,4,6}:{(179,1),(180,1),(181,1),(226,1),(228,1),(232,1)}
      208:{1,4,5}:{(180,1),(227,1),(231,1),(232,1),(262,1),(277,1)}
      209:{1,5,6}:{(181,1),(232,1),(277,1)}
      210:{2,4,5}:{(182,1),(191,1),(233,1),(238,1),(241,1)}
      211:{2,3,6}:{(182,1),(183,1),(184,1),(233,1)}
      212:{3,5,6}:{(183,1),(185,1),(188,1),(234,1)}
      213:{1,2,5,6}:{(184,1),(185,1),(189,1),(235,1),(236,1),(278,1),(279,1)}
      214:{2,4,6}:{(186,1),(195,1),(237,1),(244,1)}
      215:{4,5}:{(186,1),(188,1),(237,1)}
      216:{2,3,5}:{(187,1),(188,1),(189,1),(237,1),(238,1),(239,1),(241,1),(270,1)}
      217:{1,4,5}:{(189,1),(190,1),(236,1),(238,1),(239,1)}
      218:{3,4}:{(190,1),(199,1),(239,1)}
      219:{2,4,6}:{(191,1),(192,1),(241,1),(242,1)}
      220:{2,3,5,6}:{(192,1),(193,1),(194,1),(197,1),(241,1),(242,1),(243,1),(270,1)}
      221:{1,2,4,6}:{(194,1),(198,1),(200,1),(203,1),(236,1),(242,1),(243,1),(247,1),(265,1),(271,1),(279,1)}
      222:{2,3,5}:{(195,1),(196,1),(204,1),(237,1),(244,1),(249,1)}
      223:{4}:{(197,1)}
      224:{2,3,5}:{(198,1),(199,1),(206,1),(239,1),(243,1),(245,1),(249,1),(270,1)}
      225:{1,2,3}:{(199,1),(202,1),(240,1)}
      226:{2,3,6}:{(200,1),(201,1),(207,1),(247,1)}
      227:{1,2,5}:{(201,1),(202,1),(208,1),(247,1)}
      228:{3,6}:{(203,1),(206,1)}
      229:{1,2,4}:{(204,1),(205,1),(244,1),(249,1)}
      230:{3,4}:{(205,1),(206,1),(249,1)}
      231:{1,3,5}:{(206,1),(208,1),(248,1),(250,1)}
      232:{1,4,6}:{(207,1),(208,1),(209,1),(247,1),(248,1)}
      233:{2,4,6}:{(210,1),(211,1),(251,1),(253,1)}
      234:{4,5,6}:{(212,1),(215,1),(252,1),(253,1)}
      235:{2,3,5,6}:{(211,1),(212,1),(213,1),(216,1),(251,1),(252,1),(253,1),(254,1),(273,1),(274,1)}
      236:{1,4,6}:{(213,1),(217,1),(253,1),(254,1)}
      237:{2,5}:{(214,1),(215,1)}
      238:{4,5}:{(216,1),(223,1),(253,1)}
      239:{3,5}:{(217,1),(218,1),(254,1)}
      240:{1,3,4}:{(218,1),(225,1),(257,1),(262,1)}
      241:{2,5}:{(219,1),(258,1)}
      242:{4,6}:{(220,1),(223,1),(258,1)}
      243:{2,3,6}:{(221,1),(224,1),(228,1),(254,1),(259,1)}
      244:{2,4}:{(222,1),(223,1)}
      245:{3,4}:{(223,1),(224,1),(262,1)}
      246:{1,2,3,5}:{(224,1),(225,1),(227,1),(231,1),(257,1),(260,1),(262,1),(263,1),(276,1),(277,1)}
      247:{1,2,6}:{(226,1),(227,1),(232,1)}
      248:{1,3,6}:{(228,1),(231,1),(232,1)}
      249:{2,3}:{(229,1),(230,1)}
      250:{1,3,4}:{(230,1),(231,1),(262,1),(263,1)}
      251:{2,5,6}:{(233,1),(241,1),(264,1)}
      252:{2,5,6}:{(234,1),(237,1),(265,1)}
      253:{4,6}:{(235,1),(238,1)}
      254:{3,6}:{(236,1),(239,1)}
      255:{2,4,5}:{(237,1),(238,1),(244,1),(265,1),(268,1)}
      256:{3,4,5}:{(238,1),(239,1),(245,1),(266,1),(268,1),(269,1),(270,1)}
      257:{1,3,5}:{(239,1),(240,1),(267,1),(269,1)}
      258:{4,5}:{(241,1),(242,1),(270,1)}
      259:{3,4,6}:{(242,1),(243,1),(245,1),(270,1),(271,1)}
      260:{1,2,3,6}:{(243,1),(246,1),(247,1),(248,1),(267,1),(271,1),(279,1)}
      261:{2,3,4}:{(244,1),(245,1),(249,1),(268,1),(272,1)}
      262:{1,4}:{(245,1),(246,1)}
      263:{1,2,3}:{(249,1),(250,1),(272,1)}
      264:{4,5,6}:{(251,1),(253,1),(258,1),(273,1)}
      265:{2,4,6}:{(252,1),(253,1),(255,1),(274,1)}
      266:{3,4,6}:{(253,1),(254,1),(256,1),(273,1),(274,1),(275,1)}
      267:{1,3,6}:{(254,1),(257,1),(275,1)}
      268:{2,3,5}:{(255,1),(256,1),(261,1),(274,1),(276,1)}
      269:{1,4,5}:{(256,1),(257,1),(262,1),(275,1),(276,1),(277,1)}
      270:{3,5}:{(258,1),(259,1),(277,1)}
      271:{1,4,6}:{(259,1),(260,1),(262,1),(277,1)}
      272:{1,2,4}:{(261,1),(262,1),(263,1),(276,1)}
      273:{3,5,6}:{(264,1),(266,1),(270,1),(278,1)}
      274:{2,3,6}:{(265,1),(266,1),(268,1),(279,1)}
      275:{1,4,6}:{(266,1),(267,1),(269,1),(278,1),(279,1)}
      276:{1,2,5}:{(268,1),(269,1),(272,1),(279,1)}
      277:{1,5}:{(270,1),(271,1)}
      278:{1,5,6}:{(273,1),(275,1),(277,1)}
      279:{1,2,6}:{(274,1),(275,1),(276,1)}

355 :  0:{1,2,3,4}:{(1,1),(14,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1),(8,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1)}
       3:{1,2,3,6}:{(1,1),(6,1),(15,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(36,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(18,1),(32,1),(36,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(11,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(40,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(29,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(29,1)}
      11:{1,5,6}:{(6,1),(16,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(18,1),(19,1),(32,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(19,1),(20,1),(33,1),(74,1)}
      14:{2,3,4}:{(8,1),(18,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(23,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(22,1),(24,1),(32,1),(55,1)}
      18:{1,2,4}:{(12,1),(14,1)}
      19:{1,2,3,6}:{(12,1),(13,1),(15,1),(25,1),(73,1)}
      20:{1,3,5,6}:{(13,1),(16,1),(27,1),(78,1)}
      21:{2,3,4,6}:{(14,1),(15,1),(25,1),(28,1),(29,1),(42,1),(46,1),(62,1)}
      22:{2,3,5,6}:{(15,1),(16,1),(17,1),(28,1),(29,1),(30,1),(31,1),(46,1)}
      23:{4,5,6}:{(16,1),(29,1),(30,1)}
      24:{1,4,5,6}:{(17,1),(29,1),(31,1),(40,1),(47,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(32,1),(33,1),(55,1),(68,1)}
      26:{1,2,3,5,6}:{(19,1),(20,1),(22,1),(32,1),(33,1),(34,1),(39,1),(49,1),(50,1),(55,1),(63,1)}
      27:{1,4,5,6}:{(20,1),(23,1),(33,1),(34,1),(35,1),(75,1)}
      28:{2,3,5}:{(21,1),(32,1),(36,1),(49,1)}
      29:{4,6}:{(22,1),(36,1)}
      30:{2,5,6}:{(23,1),(37,1)}
      31:{3,5,6}:{(24,1),(38,1),(49,1)}
      32:{1,2,5}:{(25,1),(28,1),(40,1)}
      33:{1,4,6}:{(26,1),(29,1),(40,1),(42,1),(69,1)}
      34:{1,2,5,6}:{(27,1),(30,1),(41,1),(43,1),(71,1)}
      35:{3,4,5,6}:{(27,1),(42,1),(43,1),(70,1)}
      36:{4,5}:{(28,1),(29,1)}
      37:{2,4,6}:{(29,1),(30,1),(44,1),(46,1)}
      38:{3,4,6}:{(29,1),(31,1),(45,1),(46,1),(47,1)}
      39:{1,3,5,6}:{(31,1),(47,1),(57,1)}
      40:{1,4,5}:{(32,1),(33,1),(36,1),(49,1)}
      41:{1,2,4,6}:{(33,1),(34,1),(37,1),(48,1),(50,1),(52,1),(55,1)}
      42:{3,4,6}:{(33,1),(49,1),(50,1),(64,1)}
      43:{2,3,5,6}:{(34,1),(35,1),(50,1),(52,1),(66,1)}
      44:{2,4,5}:{(36,1),(37,1),(53,1)}
      45:{3,4,5}:{(36,1),(38,1),(49,1),(53,1),(54,1),(64,1)}
      46:{2,3,6}:{(37,1),(38,1),(53,1),(55,1)}
      47:{1,4,6}:{(38,1),(39,1),(54,1),(55,1)}
      48:{1,2,4,5}:{(40,1),(41,1),(44,1),(56,1),(60,1),(61,1),(69,1),(71,1)}
      49:{3,5}:{(40,1),(42,1)}
      50:{2,3,6}:{(41,1),(42,1),(56,1)}
      51:{1,3,4,6}:{(42,1),(47,1),(57,1),(58,1),(69,1)}
      52:{2,4,6}:{(43,1),(60,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(61,1),(62,1)}
      54:{1,4,5}:{(45,1),(47,1),(57,1),(61,1),(69,1)}
      55:{1,2,6}:{(46,1),(47,1),(61,1)}
      56:{2,3,5}:{(48,1),(49,1),(50,1),(64,1)}
      57:{1,3,5}:{(49,1),(51,1),(54,1)}
      58:{1,2,3,6}:{(50,1),(51,1),(55,1),(63,1),(65,1),(80,1)}
      59:{2,3,4,6}:{(50,1),(52,1),(64,1),(65,1),(66,1),(76,1)}
      60:{2,4,5}:{(52,1),(66,1)}
      61:{1,2,5}:{(53,1),(54,1),(55,1),(68,1)}
      62:{2,3,4}:{(53,1),(64,1),(68,1)}
      63:{1,2,3,5}:{(56,1),(57,1),(58,1),(61,1),(69,1),(71,1),(73,1),(78,1)}
      64:{3,4}:{(56,1),(69,1)}
      65:{1,2,4,6}:{(58,1),(59,1),(69,1),(71,1),(79,1)}
      66:{2,3,5}:{(59,1),(60,1),(70,1),(71,1)}
      67:{2,4,5,6}:{(60,1),(72,1)}
      68:{1,2,4}:{(61,1),(62,1),(69,1),(73,1)}
      69:{1,4}:{(63,1),(64,1)}
      70:{3,4,5}:{(64,1),(66,1),(75,1),(76,1)}
      71:{1,2,5}:{(65,1),(66,1),(75,1)}
      72:{2,3,5,6}:{(66,1),(67,1),(76,1),(77,1)}
      73:{1,2,3}:{(68,1),(74,1)}
      74:{1,3,4}:{(69,1),(73,1),(78,1)}
      75:{1,4,5}:{(69,1),(70,1),(71,1),(78,1),(79,1)}
      76:{3,4,6}:{(70,1),(72,1),(79,1)}
      77:{1,2,5,6}:{(71,1),(72,1),(79,1)}
      78:{1,3,5}:{(74,1),(75,1),(80,1)}
      79:{1,4,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

356 :   0:{1,3,4,6}:{(1,1),(3,1),(11,1),(13,1),(35,1),(137,1),(139,1),(187,1)}
        1:{1,2,3,6}:{(0,1),(5,1),(6,1),(21,1),(54,1),(60,1),(119,1)}
        2:{2,3,4,6}:{(5,1),(7,1),(26,1),(27,1),(54,1),(60,1),(65,1),(68,1),(105,1),(112,1),(152,1)}
        3:{1,3,5}:{(0,1),(8,1),(53,1),(164,1)}
        4:{1,3,5,6}:{(3,1),(11,1),(19,1),(186,1),(187,1)}
        5:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1),(38,1),(90,1),(92,1),(137,1)}
        6:{1,2,3,5}:{(1,1),(3,1),(12,1),(13,1),(16,1),(40,1),(41,1),(77,1)}
        7:{2,3,5}:{(2,1),(12,1),(15,1),(40,1),(138,1),(175,1)}
        8:{1,4,5}:{(3,1),(11,1),(13,1),(16,1),(17,1)}
        9:{1,4,5,6}:{(11,1),(18,1),(19,1),(33,1),(50,1),(181,1),(183,1),(186,1)}
       10:{1,2,3,5,6}:{(4,1),(6,1),(20,1),(21,1),(23,1),(32,1),(52,1),(53,1),(54,1),(60,1),(71,1),(102,1),(103,1),(104,1),(111,1),(123,1),(151,1),(160,1),(164,1),(199,1)}
       11:{1,4,6}:{(4,1),(8,1),(21,1),(22,1)}
       12:{1,2,5}:{(5,1),(7,1),(24,1),(164,1)}
       13:{1,4}:{(6,1),(26,1),(105,1)}
       14:{2,3,5,6}:{(7,1),(23,1),(27,1),(56,1),(57,1),(60,1),(65,1)}
       15:{4,5}:{(7,1),(27,1),(105,1)}
       16:{1,2,5}:{(8,1),(21,1),(25,1),(30,1)}
       17:{3,4,5}:{(8,1),(22,1),(26,1),(30,1),(53,1),(73,1),(105,1)}
       18:{1,2,5,6}:{(9,1),(21,1),(31,1),(32,1),(52,1),(123,1),(194,1)}
       19:{3,5,6}:{(9,1),(22,1),(53,1),(199,1)}
       20:{1,4,6}:{(10,1),(13,1),(33,1),(35,1),(50,1),(130,1),(131,1)}
       21:{1,2,6}:{(11,1),(16,1),(37,1)}
       22:{3,4,6}:{(11,1),(17,1),(19,1),(37,1),(50,1)}
       23:{1,2,5,6}:{(12,1),(14,1),(38,1),(82,1),(90,1)}
       24:{1,4,5}:{(12,1),(13,1),(15,1),(38,1),(40,1)}
       25:{1,2,4}:{(13,1),(16,1),(41,1),(47,1)}
       26:{3,4}:{(13,1),(40,1),(41,1)}
       27:{4,6}:{(14,1),(15,1)}
       28:{2,4,5}:{(15,1),(43,1),(45,1),(128,1),(136,1),(175,1)}
       29:{3,4,5}:{(15,1),(40,1),(44,1),(45,1),(46,1),(87,1),(136,1),(138,1),(184,1)}
       30:{2,3,5}:{(16,1),(17,1),(37,1),(41,1),(47,1),(83,1)}
       31:{1,2,4,6}:{(18,1),(48,1),(49,1),(50,1),(96,1),(178,1),(183,1),(190,1)}
       32:{2,3,5,6}:{(18,1),(19,1),(37,1),(49,1),(50,1),(77,1),(83,1),(97,1)}
       33:{1,4,5}:{(20,1),(52,1),(53,1),(73,1),(105,1),(123,1),(156,1),(164,1)}
       34:{1,2,4,6}:{(20,1),(21,1),(25,1),(52,1),(54,1),(58,1),(105,1),(151,1),(152,1),(153,1)}
       35:{3,4,6}:{(20,1),(26,1),(53,1),(54,1),(60,1),(105,1),(157,1),(199,1)}
       36:{4,5,6}:{(27,1),(56,1),(57,1),(109,1),(156,1)}
       37:{2,3,6}:{(21,1),(22,1),(30,1),(58,1)}
       38:{1,4,6}:{(23,1),(24,1),(27,1),(60,1)}
       39:{1,2,4,5}:{(24,1),(25,1),(28,1),(52,1),(59,1),(61,1),(67,1),(69,1),(105,1),(113,1),(115,1),(153,1),(156,1),(158,1),(162,1),(164,1),(193,1),(203,1),(216,1)}
       40:{3,5}:{(24,1),(26,1),(60,1)}
       41:{2,3}:{(25,1),(26,1)}
       42:{1,3,4}:{(26,1),(62,1),(63,1),(113,1),(200,1)}
       43:{2,4,6}:{(27,1),(28,1),(56,1),(65,1),(109,1)}
       44:{3,4,6}:{(27,1),(29,1),(57,1),(60,1),(65,1),(66,1),(109,1),(161,1)}
       45:{2,3,5}:{(28,1),(29,1),(65,1),(67,1),(68,1)}
       46:{1,4,5}:{(29,1),(62,1),(66,1),(67,1),(113,1),(164,1)}
       47:{2,4}:{(30,1),(105,1)}
       48:{1,2,4,5}:{(31,1),(52,1),(70,1),(73,1),(105,1),(121,1),(123,1),(153,1),(154,1),(158,1),(170,1)}
       49:{2,3,6}:{(31,1),(70,1),(72,1),(199,1)}
       50:{4,6}:{(32,1),(73,1),(105,1)}
       51:{1,4,5,6}:{(33,1),(36,1),(38,1),(75,1),(76,1),(82,1),(98,1),(126,1),(130,1),(135,1),(150,1),(180,1),(183,1)}
       52:{1,2,5}:{(33,1),(34,1),(77,1),(83,1),(175,1)}
       53:{3,5}:{(33,1),(35,1)}
       54:{2,3,6}:{(34,1),(35,1),(41,1),(77,1),(176,1)}
       55:{1,3,4,6}:{(35,1),(42,1),(78,1),(79,1),(85,1),(96,1),(126,1),(131,1),(137,1),(147,1),(179,1),(191,1),(215,1)}
       56:{2,5,6}:{(36,1),(43,1),(175,1)}
       57:{3,5,6}:{(36,1),(44,1),(82,1),(138,1)}
       58:{2,4,6}:{(37,1),(47,1),(50,1),(83,1)}
       59:{1,2,4,6}:{(38,1),(39,1),(43,1),(75,1),(84,1),(90,1),(93,1),(130,1),(135,1),(137,1),(142,1),(183,1)}
       60:{3,6}:{(38,1),(40,1)}
       61:{2,3,5}:{(39,1),(40,1),(41,1),(84,1),(87,1),(138,1),(176,1),(182,1),(184,1),(212,1)}
       62:{1,3,5}:{(40,1),(42,1),(46,1),(85,1),(184,1)}
       63:{1,2,3}:{(41,1),(42,1),(88,1),(212,1)}
       64:{2,3,4}:{(41,1),(47,1),(87,1),(88,1),(89,1),(212,1),(223,1)}
       65:{2,3,6}:{(43,1),(44,1),(45,1),(90,1)}
       66:{1,4,6}:{(44,1),(46,1),(82,1),(85,1),(90,1)}
       67:{1,2,5}:{(45,1),(46,1),(90,1),(92,1)}
       68:{2,3,4}:{(45,1),(87,1),(92,1),(128,1),(176,1)}
       69:{2,4,5}:{(47,1),(83,1),(89,1),(93,1),(132,1),(223,1),(229,1)}
       70:{2,3,5}:{(48,1),(49,1),(95,1),(97,1),(176,1),(182,1)}
       71:{1,2,3,6}:{(49,1),(94,1),(96,1),(190,1),(191,1)}
       72:{3,4,6}:{(49,1),(50,1),(95,1),(96,1),(97,1)}
       73:{4,5}:{(50,1),(83,1),(97,1)}
       74:{3,4,5}:{(53,1),(99,1),(100,1),(101,1),(105,1),(156,1),(157,1),(197,1),(216,1)}
       75:{1,2,5,6}:{(51,1),(52,1),(56,1),(59,1),(102,1),(110,1),(151,1),(164,1),(193,1)}
       76:{3,5,6}:{(51,1),(53,1),(60,1),(99,1),(161,1),(197,1),(199,1)}
       77:{2,3,5}:{(52,1),(53,1),(54,1),(105,1)}
       78:{1,3,5}:{(53,1),(55,1),(101,1),(123,1),(164,1),(197,1),(222,1)}
       79:{1,2,3,6}:{(54,1),(55,1),(63,1),(104,1),(106,1),(151,1),(169,1),(192,1),(199,1)}
       80:{2,3,4,6}:{(54,1),(58,1),(64,1),(72,1),(105,1),(106,1),(107,1),(112,1),(116,1),(120,1),(152,1),(157,1),(159,1),(171,1),(192,1),(199,1),(216,1),(218,1),(227,1)}
       81:{2,3,5,6}:{(56,1),(57,1),(65,1),(108,1),(109,1),(118,1),(161,1)}
       82:{1,5,6}:{(57,1),(66,1),(164,1)}
       83:{2,5}:{(58,1),(73,1)}
       84:{2,3,6}:{(59,1),(60,1),(61,1),(112,1),(161,1),(199,1)}
       85:{1,3,6}:{(60,1),(62,1),(66,1),(161,1)}
       86:{1,2,3,5}:{(61,1),(62,1),(63,1),(67,1),(111,1),(113,1),(115,1),(119,1),(164,1),(166,1)}
       87:{3,4}:{(61,1),(105,1),(113,1),(216,1)}
       88:{1,2,4}:{(63,1),(64,1),(113,1),(115,1)}
       89:{2,3,5}:{(64,1),(69,1),(114,1),(115,1),(116,1)}
       90:{1,2,6}:{(65,1),(66,1),(67,1)}
       91:{2,3,4,6}:{(65,1),(68,1),(109,1),(112,1),(117,1),(118,1),(152,1),(161,1),(192,1),(200,1),(216,1)}
       92:{1,2,4}:{(67,1),(68,1),(113,1),(119,1)}
       93:{2,4,6}:{(69,1),(110,1),(116,1),(159,1)}
       94:{1,2,3,5}:{(70,1),(71,1),(121,1),(123,1),(169,1),(170,1),(172,1)}
       95:{3,4}:{(70,1),(105,1),(121,1)}
       96:{1,4,6}:{(71,1),(72,1),(121,1),(123,1)}
       97:{3,5}:{(72,1),(73,1),(123,1)}
       98:{4,5,6}:{(73,1),(110,1),(124,1),(159,1),(228,1)}
       99:{3,4,6}:{(74,1),(76,1),(125,1),(126,1),(130,1)}
      100:{2,3,5}:{(74,1),(125,1),(127,1),(128,1),(175,1),(176,1)}
      101:{1,4,5}:{(74,1),(78,1),(126,1),(127,1),(131,1)}
      102:{2,3,5,6}:{(75,1),(76,1),(77,1),(84,1),(125,1),(130,1),(138,1),(175,1),(206,1)}
      103:{1,3,5,6}:{(76,1),(78,1),(82,1),(85,1),(126,1),(150,1),(191,1)}
      104:{1,2,3,5}:{(77,1),(78,1),(79,1),(127,1),(131,1),(133,1),(176,1),(182,1),(206,1)}
      105:{4}:{(77,1)}
      106:{1,2,4,6}:{(79,1),(80,1),(88,1),(96,1),(131,1),(133,1),(137,1),(142,1),(145,1),(183,1),(190,1),(215,1)}
      107:{2,3,5}:{(80,1),(83,1),(97,1),(132,1),(133,1),(138,1),(175,1),(182,1),(225,1),(229,1)}
      108:{1,2,5,6}:{(81,1),(82,1),(90,1),(135,1),(144,1)}
      109:{4,6}:{(81,1),(136,1)}
      110:{2,5,6}:{(83,1),(93,1),(98,1),(229,1)}
      111:{1,2,3,6}:{(84,1),(85,1),(86,1),(90,1),(137,1),(142,1),(187,1)}
      112:{3,4,6}:{(84,1),(87,1),(130,1),(137,1),(138,1)}
      113:{1,4}:{(86,1),(87,1)}
      114:{3,4,5}:{(87,1),(89,1),(132,1),(138,1),(140,1),(141,1),(182,1)}
      115:{1,2,5}:{(88,1),(89,1),(140,1),(142,1)}
      116:{2,3,6}:{(89,1),(93,1),(141,1),(142,1)}
      117:{1,2,4,6}:{(90,1),(91,1),(92,1),(135,1),(137,1),(143,1),(144,1),(188,1)}
      118:{2,3,5}:{(91,1),(136,1),(138,1),(144,1),(175,1),(184,1)}
      119:{1,2,3}:{(92,1),(139,1),(176,1)}
      120:{2,3,4}:{(95,1),(128,1),(145,1),(146,1),(176,1),(208,1)}
      121:{1,4}:{(94,1),(95,1)}
      122:{3,4,5}:{(95,1),(97,1),(132,1),(146,1),(148,1),(149,1),(182,1),(208,1),(225,1)}
      123:{1,5}:{(96,1),(97,1)}
      124:{3,5,6}:{(97,1),(98,1),(149,1),(150,1),(225,1)}
      125:{2,3,6}:{(99,1),(100,1),(151,1),(152,1)}
      126:{1,4,6}:{(99,1),(101,1),(103,1),(151,1)}
      127:{1,2,5}:{(100,1),(101,1),(151,1),(153,1)}
      128:{2,4}:{(100,1),(105,1),(216,1)}
      129:{1,2,3,5,6}:{(102,1),(103,1),(104,1),(108,1),(111,1),(151,1),(155,1),(160,1),(161,1),(164,1),(168,1),(192,1),(193,1),(197,1),(199,1),(202,1),(205,1),(217,1),(221,1),(222,1)}
      130:{4,6}:{(102,1),(105,1),(156,1),(216,1)}
      131:{1,4}:{(104,1),(105,1),(157,1),(216,1)}
      132:{4,5}:{(105,1),(107,1),(159,1),(216,1)}
      133:{1,2,5}:{(106,1),(107,1),(123,1),(158,1),(164,1),(222,1)}
      134:{2,3,5,6}:{(107,1),(110,1),(116,1),(124,1),(159,1),(160,1),(165,1),(171,1),(194,1),(199,1)}
      135:{1,4,6}:{(108,1),(109,1),(161,1),(162,1)}
      136:{4,5}:{(109,1),(118,1),(216,1)}
      137:{1,4,6}:{(111,1),(112,1),(113,1),(164,1)}
      138:{3,5}:{(112,1),(156,1),(164,1)}
      139:{1,3,4}:{(113,1),(119,1),(157,1),(166,1)}
      140:{1,4,5}:{(113,1),(114,1),(115,1),(164,1),(166,1),(167,1)}
      141:{3,4,6}:{(114,1),(116,1),(159,1),(165,1),(167,1),(199,1)}
      142:{1,2,6}:{(115,1),(116,1),(167,1)}
      143:{1,2,3,6}:{(117,1),(119,1),(161,1),(163,1),(168,1),(192,1),(221,1)}
      144:{1,2,5}:{(117,1),(118,1),(162,1),(164,1)}
      145:{1,2,4}:{(120,1),(121,1),(169,1),(170,1),(204,1)}
      146:{2,3,5}:{(120,1),(122,1),(154,1),(170,1),(171,1)}
      147:{1,3,4}:{(121,1),(157,1),(169,1),(172,1),(204,1)}
      148:{1,4,5}:{(121,1),(122,1),(123,1),(170,1),(172,1),(173,1),(204,1),(222,1)}
      149:{3,4,6}:{(122,1),(124,1),(159,1),(171,1),(173,1),(199,1)}
      150:{1,5,6}:{(123,1),(124,1),(173,1),(222,1)}
      151:{1,2,6}:{(125,1),(126,1),(127,1)}
      152:{2,4,6}:{(125,1),(128,1),(130,1),(175,1)}
      153:{1,2,4}:{(127,1),(128,1),(131,1),(176,1)}
      154:{2,4,5}:{(128,1),(132,1),(146,1),(175,1),(178,1)}
      155:{1,4,6}:{(129,1),(130,1),(131,1),(179,1),(180,1),(188,1),(224,1)}
      156:{4,5}:{(130,1),(138,1),(175,1)}
      157:{3,4}:{(131,1),(176,1),(182,1)}
      158:{1,4,5}:{(131,1),(132,1),(133,1),(182,1),(183,1)}
      159:{4,6}:{(132,1),(134,1)}
      160:{1,2,5,6}:{(133,1),(134,1),(142,1),(150,1),(183,1),(186,1),(190,1)}
      161:{3,6}:{(135,1),(184,1)}
      162:{1,4,5}:{(135,1),(136,1),(144,1),(184,1),(188,1)}
      163:{1,3,4,6}:{(137,1),(139,1),(143,1),(179,1),(185,1),(187,1),(188,1),(214,1)}
      164:{1,5}:{(137,1),(138,1)}
      165:{3,5,6}:{(138,1),(141,1),(181,1),(186,1)}
      166:{1,3,5}:{(139,1),(140,1),(182,1),(187,1)}
      167:{1,4,6}:{(140,1),(141,1),(142,1),(186,1),(187,1)}
      168:{1,2,3,5}:{(143,1),(144,1),(184,1),(185,1),(188,1),(206,1),(212,1),(213,1)}
      169:{1,2,3}:{(145,1),(147,1),(176,1)}
      170:{1,2,5}:{(145,1),(146,1),(148,1),(190,1)}
      171:{2,3,6}:{(146,1),(149,1),(178,1),(190,1)}
      172:{1,3,5}:{(147,1),(148,1),(182,1),(191,1)}
      173:{1,4,6}:{(148,1),(149,1),(150,1),(190,1),(191,1)}
      174:{1,2,4,6}:{(151,1),(152,1),(153,1),(155,1),(192,1),(193,1),(203,1),(216,1),(221,1),(227,1)}
      175:{2,5}:{(152,1),(156,1)}
      176:{2,3}:{(153,1),(157,1)}
      177:{1,2,4,5}:{(153,1),(154,1),(158,1),(170,1),(193,1),(195,1),(196,1),(204,1),(216,1),(222,1),(228,1)}
      178:{2,4,6}:{(154,1),(159,1),(171,1),(194,1)}
      179:{3,4,6}:{(155,1),(157,1),(161,1),(192,1),(197,1),(199,1),(200,1),(216,1)}
      180:{1,4,5}:{(155,1),(156,1),(164,1),(193,1),(197,1),(216,1),(222,1),(228,1)}
      181:{4,5,6}:{(156,1),(159,1),(165,1),(194,1)}
      182:{3,5}:{(157,1),(158,1),(199,1)}
      183:{1,4,6}:{(158,1),(159,1),(160,1),(199,1)}
      184:{3,5}:{(161,1),(162,1),(200,1)}
      185:{1,3,5}:{(163,1),(164,1),(197,1),(201,1)}
      186:{1,5,6}:{(164,1),(165,1),(167,1)}
      187:{1,3,6}:{(166,1),(167,1),(199,1)}
      188:{1,4}:{(168,1),(200,1),(216,1)}
      189:{1,2,3,5}:{(169,1),(170,1),(172,1),(195,1),(204,1),(205,1),(222,1)}
      190:{1,2,6}:{(170,1),(171,1),(173,1)}
      191:{1,3,6}:{(172,1),(173,1),(199,1)}
      192:{2,3,6}:{(174,1),(176,1),(179,1),(206,1),(212,1)}
      193:{1,2,5}:{(174,1),(175,1),(180,1),(206,1),(229,1)}
      194:{2,5,6}:{(175,1),(178,1),(181,1)}
      195:{2,3,5}:{(176,1),(177,1),(182,1),(208,1),(209,1),(225,1)}
      196:{1,2,4,6}:{(177,1),(178,1),(183,1),(190,1),(207,1),(209,1),(215,1),(224,1)}
      197:{3,5}:{(179,1),(180,1)}
      198:{1,4,5,6}:{(180,1),(181,1),(183,1),(186,1),(207,1),(211,1),(214,1),(224,1)}
      199:{3,6}:{(182,1),(183,1)}
      200:{3,4}:{(184,1),(188,1),(212,1)}
      201:{1,4,5}:{(185,1),(188,1),(210,1),(213,1),(214,1)}
      202:{1,3,5,6}:{(185,1),(186,1),(187,1),(211,1),(214,1)}
      203:{1,2,4}:{(188,1),(212,1),(213,1),(223,1)}
      204:{1,4}:{(189,1),(208,1)}
      205:{1,2,3,6}:{(189,1),(190,1),(191,1),(209,1),(215,1)}
      206:{2,3,5}:{(192,1),(193,1),(197,1),(216,1)}
      207:{1,2,5,6}:{(193,1),(194,1),(196,1),(198,1),(217,1),(221,1),(222,1)}
      208:{3,4}:{(195,1),(204,1),(216,1)}
      209:{2,3,6}:{(195,1),(196,1),(199,1),(218,1)}
      210:{3,4,5}:{(197,1),(200,1),(201,1),(216,1),(219,1),(220,1),(228,1)}
      211:{3,5,6}:{(197,1),(198,1),(199,1),(220,1)}
      212:{2,3}:{(200,1),(203,1)}
      213:{1,2,5}:{(201,1),(203,1),(219,1),(221,1)}
      214:{1,4,6}:{(201,1),(202,1),(220,1),(221,1)}
      215:{1,4,6}:{(204,1),(205,1),(218,1),(222,1)}
      216:{4}:{(206,1)}
      217:{2,3,5,6}:{(206,1),(207,1),(209,1),(211,1),(224,1),(225,1),(226,1),(229,1)}
      218:{3,4,6}:{(208,1),(209,1),(215,1),(224,1),(225,1)}
      219:{2,3,5}:{(210,1),(212,1),(213,1),(223,1),(226,1),(229,1)}
      220:{3,4,6}:{(210,1),(211,1),(214,1),(224,1),(226,1)}
      221:{1,2,6}:{(213,1),(214,1),(226,1)}
      222:{1,5}:{(215,1),(225,1)}
      223:{2,4}:{(216,1),(219,1)}
      224:{4,6}:{(216,1),(217,1),(228,1)}
      225:{3,5}:{(218,1),(222,1),(228,1)}
      226:{2,3,6}:{(219,1),(220,1),(221,1),(227,1)}
      227:{2,4,6}:{(223,1),(224,1),(226,1),(229,1)}
      228:{4,5}:{(224,1),(225,1),(229,1)}
      229:{2,5}:{(227,1),(228,1)}

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

358 :  0:{3,4,5}:{(3,1),(4,1),(5,1),(44,1),(46,1),(65,1),(66,1),(69,1)}
       1:{4,5,6}:{(7,1),(8,1),(31,1),(72,1)}
       2:{1,3,4}:{(9,1),(10,1),(33,1),(71,1)}
       3:{3,4,6}:{(0,1),(8,1),(12,1),(13,1),(31,1),(55,1)}
       4:{2,3,5}:{(0,1),(12,1),(14,1),(15,1),(38,1),(39,1)}
       5:{1,4,5}:{(0,1),(9,1),(13,1),(14,1),(33,1),(58,1)}
       6:{2,4,5}:{(16,1),(17,1),(44,1)}
       7:{2,5,6}:{(1,1),(16,1),(77,1)}
       8:{3,5,6}:{(1,1),(3,1),(19,1),(66,1)}
       9:{1,3,5}:{(2,1),(5,1),(20,1),(65,1)}
      10:{1,2,3}:{(2,1),(22,1),(76,1)}
      11:{2,3,4}:{(22,1),(23,1),(46,1)}
      12:{2,3,6}:{(3,1),(4,1),(24,1),(25,1)}
      13:{1,4,6}:{(3,1),(5,1),(19,1),(20,1),(24,1)}
      14:{1,2,5}:{(4,1),(5,1),(24,1),(26,1)}
      15:{2,4}:{(4,1),(69,1)}
      16:{2,4,6}:{(6,1),(7,1),(27,1),(31,1),(74,1)}
      17:{2,3,5}:{(6,1),(27,1),(28,1),(29,1),(53,1)}
      18:{2,3,5,6}:{(7,1),(8,1),(12,1),(27,1),(30,1),(31,1),(38,1),(53,1),(55,1),(62,1)}
      19:{1,5,6}:{(8,1),(13,1),(58,1)}
      20:{1,3,6}:{(9,1),(13,1),(55,1)}
      21:{1,2,3,5}:{(9,1),(10,1),(14,1),(32,1),(33,1),(35,1),(39,1),(58,1),(60,1),(62,1)}
      22:{1,2,4}:{(10,1),(11,1),(33,1),(35,1),(74,1)}
      23:{2,3,5}:{(11,1),(34,1),(35,1),(36,1),(60,1)}
      24:{1,2,6}:{(12,1),(13,1),(14,1)}
      25:{2,4,6}:{(12,1),(15,1),(31,1),(38,1)}
      26:{1,2,4}:{(14,1),(15,1),(33,1),(39,1)}
      27:{2,3,6}:{(16,1),(17,1),(40,1),(41,1),(76,1)}
      28:{1,2,5}:{(17,1),(40,1),(42,1),(64,1)}
      29:{3,4}:{(17,1),(42,1)}
      30:{1,2,5,6}:{(18,1),(19,1),(24,1),(40,1),(43,1),(51,1),(64,1)}
      31:{4,6}:{(18,1),(44,1),(69,1)}
      32:{1,2,3,6}:{(20,1),(21,1),(24,1),(45,1),(49,1),(50,1),(68,1)}
      33:{1,4}:{(21,1),(46,1),(69,1)}
      34:{4,5}:{(23,1),(48,1)}
      35:{1,2,5}:{(22,1),(23,1),(47,1),(49,1),(77,1)}
      36:{2,3,6}:{(23,1),(48,1),(49,1),(68,1)}
      37:{1,2,4,6}:{(24,1),(25,1),(26,1),(43,1),(45,1),(50,1),(51,1),(69,1)}
      38:{2,5}:{(25,1),(44,1)}
      39:{2,3}:{(26,1),(46,1)}
      40:{1,2,6}:{(27,1),(28,1),(52,1),(79,1)}
      41:{3,4,6}:{(27,1),(29,1),(31,1),(52,1),(53,1),(55,1),(71,1)}
      42:{1,4}:{(28,1),(29,1),(54,1)}
      43:{1,4,6}:{(30,1),(31,1),(55,1),(56,1)}
      44:{4,5}:{(31,1),(38,1),(53,1)}
      45:{1,4,6}:{(32,1),(33,1),(57,1),(58,1)}
      46:{3,4}:{(33,1),(39,1),(60,1)}
      47:{1,4,5}:{(33,1),(34,1),(35,1),(58,1),(60,1),(61,1),(72,1)}
      48:{4,6}:{(34,1),(36,1),(59,1)}
      49:{1,2,6}:{(35,1),(36,1),(61,1),(80,1)}
      50:{2,3,6}:{(37,1),(39,1),(55,1),(57,1),(62,1),(80,1)}
      51:{1,2,5}:{(37,1),(38,1),(56,1),(58,1),(62,1),(79,1)}
      52:{1,4,6}:{(40,1),(41,1),(42,1),(63,1),(64,1),(75,1)}
      53:{3,5}:{(41,1),(44,1),(64,1)}
      54:{1,3}:{(42,1)}
      55:{3,6}:{(43,1),(65,1)}
      56:{1,4,5}:{(43,1),(44,1),(51,1),(64,1),(65,1),(69,1),(75,1)}
      57:{3,4,6}:{(45,1),(46,1),(50,1),(66,1),(68,1),(69,1),(78,1)}
      58:{1,5}:{(45,1),(66,1)}
      59:{5,6}:{(48,1)}
      60:{3,5}:{(46,1),(47,1),(68,1)}
      61:{1,4,6}:{(47,1),(48,1),(49,1),(67,1),(68,1),(78,1)}
      62:{2,3,5}:{(50,1),(51,1),(65,1),(66,1),(69,1),(76,1),(77,1)}
      63:{1,3,6}:{(52,1),(54,1),(55,1),(70,1)}
      64:{1,5}:{(52,1),(53,1)}
      65:{3,5}:{(55,1),(56,1),(71,1)}
      66:{3,5}:{(57,1),(58,1),(72,1)}
      67:{1,5,6}:{(58,1),(59,1),(61,1),(73,1)}
      68:{3,6}:{(60,1),(61,1)}
      69:{4}:{(62,1)}
      70:{1,3,5}:{(63,1),(64,1),(65,1),(75,1)}
      71:{3,4}:{(65,1),(69,1),(75,1),(76,1)}
      72:{4,5}:{(66,1),(69,1),(77,1),(78,1)}
      73:{3,5,6}:{(66,1),(67,1),(68,1),(78,1)}
      74:{2,4}:{(69,1),(76,1),(77,1)}
      75:{1,4}:{(70,1),(71,1),(79,1)}
      76:{2,3}:{(71,1),(74,1),(79,1)}
      77:{2,5}:{(72,1),(74,1),(80,1)}
      78:{4,6}:{(72,1),(73,1),(80,1)}
      79:{1,2}:{(75,1),(76,1)}
      80:{2,6}:{(77,1),(78,1)}

359 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(3,1),(4,1),(16,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
       3:{1,2,3,5}:{(1,1),(6,1),(7,1),(13,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(7,1),(8,1),(14,1)}
       5:{2,3,5,6}:{(2,1),(8,1),(9,1),(15,1)}
       6:{1,3,4}:{(3,1)}
       7:{1,2,3,6}:{(3,1),(4,1),(10,1)}
       8:{1,2,5,6}:{(4,1),(5,1),(12,1)}
       9:{4,5,6}:{(5,1)}
      10:{1,3,4,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(8,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,4,5,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{1,3,5}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{3,5,6}:{(12,1),(18,1)}
      16:{1,4,5}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{3,4,6}:{(14,1),(15,1),(20,1),(21,1)}
      19:{1,2,5}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{2,3,6}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

360 :   0:{1,3,4,6}:{(3,1),(4,1),(6,1),(19,1),(24,1),(151,1),(153,1),(196,1)}
        1:{1,3,5,6}:{(4,1),(6,1),(8,1),(195,1),(196,1)}
        2:{1,4,5,6}:{(6,1),(7,1),(8,1),(22,1),(28,1),(164,1),(166,1),(195,1)}
        3:{1,2,3,6}:{(0,1),(9,1),(10,1),(13,1),(38,1),(70,1),(174,1)}
        4:{1,3,5}:{(0,1),(11,1),(37,1),(176,1)}
        5:{1,2,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(16,1),(30,1),(36,1),(37,1),(38,1),(42,1),(70,1),(79,1),(80,1),(81,1),(89,1),(125,1),(131,1),(140,1),(176,1),(187,1)}
        6:{1,4,6}:{(1,1),(11,1),(13,1),(14,1)}
        7:{1,2,5,6}:{(2,1),(13,1),(15,1),(16,1),(36,1),(89,1),(182,1)}
        8:{3,5,6}:{(2,1),(14,1),(37,1),(187,1)}
        9:{1,2,4,6}:{(3,1),(17,1),(18,1),(19,1),(47,1),(148,1),(150,1),(151,1)}
       10:{1,2,3,5}:{(3,1),(4,1),(18,1),(19,1),(20,1),(49,1),(50,1),(56,1)}
       11:{1,4,5}:{(4,1),(6,1),(19,1),(20,1),(21,1)}
       12:{1,4,6}:{(5,1),(19,1),(22,1),(24,1),(28,1),(108,1),(109,1)}
       13:{1,2,6}:{(6,1),(20,1),(25,1)}
       14:{3,4,6}:{(6,1),(8,1),(21,1),(25,1),(28,1)}
       15:{1,2,4,6}:{(7,1),(26,1),(27,1),(28,1),(63,1),(161,1),(166,1),(168,1)}
       16:{2,3,5,6}:{(7,1),(8,1),(25,1),(27,1),(28,1),(56,1),(60,1),(64,1)}
       17:{2,3,4,6}:{(9,1),(29,1),(33,1),(38,1),(66,1),(70,1),(82,1),(121,1),(124,1),(126,1),(132,1)}
       18:{1,2,5}:{(9,1),(29,1),(31,1),(176,1)}
       19:{1,4}:{(10,1),(33,1),(82,1)}
       20:{1,2,5}:{(11,1),(13,1),(32,1),(34,1)}
       21:{3,4,5}:{(11,1),(14,1),(33,1),(34,1),(37,1),(44,1),(82,1)}
       22:{1,4,5}:{(12,1),(36,1),(37,1),(44,1),(82,1),(89,1),(136,1),(176,1)}
       23:{1,2,4,6}:{(12,1),(13,1),(32,1),(36,1),(38,1),(40,1),(82,1),(131,1),(132,1),(133,1)}
       24:{3,4,6}:{(12,1),(33,1),(37,1),(38,1),(70,1),(82,1),(137,1),(187,1)}
       25:{2,3,6}:{(13,1),(14,1),(34,1),(40,1)}
       26:{1,2,4,5}:{(15,1),(36,1),(41,1),(44,1),(82,1),(87,1),(89,1),(133,1),(134,1),(138,1),(142,1)}
       27:{2,3,6}:{(15,1),(41,1),(43,1),(187,1)}
       28:{4,6}:{(16,1),(44,1),(82,1)}
       29:{2,3,5}:{(17,1),(18,1),(46,1),(49,1),(152,1),(158,1)}
       30:{1,2,5,6}:{(18,1),(45,1),(47,1),(147,1),(148,1)}
       31:{1,4,5}:{(18,1),(19,1),(46,1),(47,1),(49,1)}
       32:{1,2,4}:{(19,1),(20,1),(50,1),(52,1)}
       33:{3,4}:{(19,1),(49,1),(50,1)}
       34:{2,3,5}:{(20,1),(21,1),(25,1),(50,1),(52,1),(60,1)}
       35:{1,4,5,6}:{(22,1),(47,1),(54,1),(55,1),(65,1),(91,1),(104,1),(108,1),(118,1),(147,1),(163,1),(166,1),(190,1)}
       36:{1,2,5}:{(22,1),(23,1),(56,1),(60,1),(158,1)}
       37:{3,5}:{(22,1),(24,1)}
       38:{2,3,6}:{(23,1),(24,1),(50,1),(56,1),(159,1)}
       39:{1,3,4,6}:{(24,1),(51,1),(57,1),(58,1),(63,1),(97,1),(104,1),(109,1),(115,1),(151,1),(162,1),(169,1),(203,1)}
       40:{2,4,6}:{(25,1),(28,1),(52,1),(60,1)}
       41:{2,3,5}:{(26,1),(27,1),(62,1),(64,1),(159,1),(165,1)}
       42:{1,2,3,6}:{(27,1),(61,1),(63,1),(168,1),(169,1)}
       43:{3,4,6}:{(27,1),(28,1),(62,1),(63,1),(64,1)}
       44:{4,5}:{(28,1),(60,1),(64,1)}
       45:{2,3,5,6}:{(29,1),(30,1),(66,1),(70,1),(119,1),(120,1),(121,1)}
       46:{4,5}:{(29,1),(66,1),(82,1)}
       47:{1,4,6}:{(30,1),(31,1),(66,1),(70,1)}
       48:{1,2,4,5}:{(31,1),(32,1),(36,1),(67,1),(69,1),(71,1),(75,1),(82,1),(123,1),(127,1),(129,1),(133,1),(136,1),(138,1),(176,1),(181,1),(205,1),(209,1),(224,1)}
       49:{3,5}:{(31,1),(33,1),(70,1)}
       50:{2,3}:{(32,1),(33,1)}
       51:{1,3,4}:{(33,1),(72,1),(73,1),(127,1),(223,1)}
       52:{2,4}:{(34,1),(82,1)}
       53:{3,4,5}:{(37,1),(76,1),(77,1),(78,1),(82,1),(136,1),(137,1),(185,1),(209,1)}
       54:{1,2,5,6}:{(35,1),(36,1),(69,1),(79,1),(85,1),(119,1),(131,1),(176,1),(181,1)}
       55:{3,5,6}:{(35,1),(37,1),(70,1),(76,1),(185,1),(187,1),(204,1)}
       56:{2,3,5}:{(36,1),(37,1),(38,1),(82,1)}
       57:{1,3,5}:{(37,1),(39,1),(78,1),(89,1),(176,1),(185,1),(214,1)}
       58:{1,2,3,6}:{(38,1),(39,1),(73,1),(81,1),(83,1),(131,1),(141,1),(180,1),(187,1)}
       59:{2,3,4,6}:{(38,1),(40,1),(43,1),(74,1),(82,1),(83,1),(84,1),(86,1),(126,1),(130,1),(132,1),(137,1),(139,1),(143,1),(180,1),(187,1),(209,1),(211,1),(226,1)}
       60:{2,5}:{(40,1),(44,1)}
       61:{1,2,3,5}:{(41,1),(42,1),(87,1),(89,1),(141,1),(142,1),(144,1)}
       62:{3,4}:{(41,1),(82,1),(87,1)}
       63:{1,4,6}:{(42,1),(43,1),(87,1),(89,1)}
       64:{3,5}:{(43,1),(44,1),(89,1)}
       65:{4,5,6}:{(44,1),(85,1),(90,1),(139,1),(227,1)}
       66:{4,6}:{(45,1),(46,1)}
       67:{2,4,5}:{(46,1),(92,1),(94,1),(106,1),(158,1),(191,1)}
       68:{3,4,5}:{(46,1),(49,1),(93,1),(94,1),(95,1),(99,1),(152,1),(191,1),(215,1)}
       69:{1,2,4,6}:{(47,1),(48,1),(54,1),(92,1),(96,1),(102,1),(108,1),(148,1),(151,1),(156,1),(166,1),(190,1)}
       70:{3,6}:{(47,1),(49,1)}
       71:{2,3,5}:{(48,1),(49,1),(50,1),(96,1),(99,1),(152,1),(159,1),(165,1),(215,1),(228,1)}
       72:{1,3,5}:{(49,1),(51,1),(95,1),(97,1),(215,1)}
       73:{1,2,3}:{(50,1),(51,1),(100,1),(228,1)}
       74:{2,3,4}:{(50,1),(52,1),(99,1),(100,1),(101,1),(219,1),(228,1)}
       75:{2,4,5}:{(52,1),(60,1),(101,1),(102,1),(110,1),(219,1),(229,1)}
       76:{3,4,6}:{(53,1),(55,1),(103,1),(104,1),(108,1)}
       77:{2,3,5}:{(53,1),(103,1),(105,1),(106,1),(158,1),(159,1)}
       78:{1,4,5}:{(53,1),(57,1),(104,1),(105,1),(109,1)}
       79:{2,3,5,6}:{(54,1),(55,1),(56,1),(96,1),(103,1),(108,1),(152,1),(158,1),(197,1)}
       80:{1,3,5,6}:{(55,1),(57,1),(97,1),(104,1),(118,1),(147,1),(169,1)}
       81:{1,2,3,5}:{(56,1),(57,1),(58,1),(105,1),(109,1),(111,1),(159,1),(165,1),(197,1)}
       82:{4}:{(56,1)}
       83:{1,2,4,6}:{(58,1),(59,1),(63,1),(100,1),(109,1),(111,1),(113,1),(151,1),(156,1),(166,1),(168,1),(203,1)}
       84:{2,3,5}:{(59,1),(60,1),(64,1),(110,1),(111,1),(152,1),(158,1),(165,1),(221,1),(229,1)}
       85:{2,5,6}:{(60,1),(65,1),(102,1),(229,1)}
       86:{2,3,4}:{(62,1),(106,1),(113,1),(114,1),(159,1),(199,1)}
       87:{1,4}:{(61,1),(62,1)}
       88:{3,4,5}:{(62,1),(64,1),(110,1),(114,1),(116,1),(117,1),(165,1),(199,1),(221,1)}
       89:{1,5}:{(63,1),(64,1)}
       90:{3,5,6}:{(64,1),(65,1),(117,1),(118,1),(221,1)}
       91:{4,5,6}:{(66,1),(119,1),(120,1),(136,1),(171,1)}
       92:{2,4,6}:{(66,1),(67,1),(119,1),(121,1),(171,1)}
       93:{3,4,6}:{(66,1),(68,1),(70,1),(120,1),(121,1),(122,1),(171,1),(204,1)}
       94:{2,3,5}:{(67,1),(68,1),(121,1),(123,1),(124,1)}
       95:{1,4,5}:{(68,1),(72,1),(122,1),(123,1),(127,1),(176,1)}
       96:{2,3,6}:{(69,1),(70,1),(71,1),(126,1),(187,1),(204,1)}
       97:{1,3,6}:{(70,1),(72,1),(122,1),(204,1)}
       98:{1,2,3,5}:{(71,1),(72,1),(73,1),(123,1),(125,1),(127,1),(129,1),(174,1),(176,1),(178,1)}
       99:{3,4}:{(71,1),(82,1),(127,1),(209,1)}
      100:{1,2,4}:{(73,1),(74,1),(127,1),(129,1)}
      101:{2,3,5}:{(74,1),(75,1),(128,1),(129,1),(130,1)}
      102:{2,4,6}:{(75,1),(85,1),(130,1),(139,1)}
      103:{2,3,6}:{(76,1),(77,1),(131,1),(132,1)}
      104:{1,4,6}:{(76,1),(78,1),(80,1),(131,1)}
      105:{1,2,5}:{(77,1),(78,1),(131,1),(133,1)}
      106:{2,4}:{(77,1),(82,1),(209,1)}
      107:{1,2,3,5,6}:{(79,1),(80,1),(81,1),(125,1),(131,1),(135,1),(140,1),(170,1),(176,1),(180,1),(181,1),(185,1),(187,1),(189,1),(204,1),(206,1),(208,1),(210,1),(214,1),(225,1)}
      108:{4,6}:{(79,1),(82,1),(136,1),(209,1)}
      109:{1,4}:{(81,1),(82,1),(137,1),(209,1)}
      110:{4,5}:{(82,1),(84,1),(139,1),(209,1)}
      111:{1,2,5}:{(83,1),(84,1),(89,1),(138,1),(176,1),(214,1)}
      112:{2,3,5,6}:{(84,1),(85,1),(90,1),(130,1),(139,1),(140,1),(143,1),(177,1),(182,1),(187,1)}
      113:{1,2,4}:{(86,1),(87,1),(141,1),(142,1),(188,1)}
      114:{2,3,5}:{(86,1),(88,1),(134,1),(142,1),(143,1)}
      115:{1,3,4}:{(87,1),(137,1),(141,1),(144,1),(188,1)}
      116:{1,4,5}:{(87,1),(88,1),(89,1),(142,1),(144,1),(145,1),(188,1),(214,1)}
      117:{3,4,6}:{(88,1),(90,1),(139,1),(143,1),(145,1),(187,1)}
      118:{1,5,6}:{(89,1),(90,1),(145,1),(214,1)}
      119:{2,5,6}:{(91,1),(92,1),(158,1)}
      120:{3,5,6}:{(91,1),(93,1),(147,1),(152,1)}
      121:{2,3,6}:{(92,1),(93,1),(94,1),(148,1)}
      122:{1,4,6}:{(93,1),(95,1),(97,1),(147,1),(148,1)}
      123:{1,2,5}:{(94,1),(95,1),(148,1),(150,1)}
      124:{2,3,4}:{(94,1),(99,1),(106,1),(150,1),(159,1)}
      125:{1,2,3,6}:{(96,1),(97,1),(98,1),(148,1),(151,1),(156,1),(196,1)}
      126:{3,4,6}:{(96,1),(99,1),(108,1),(151,1),(152,1)}
      127:{1,4}:{(98,1),(99,1)}
      128:{3,4,5}:{(99,1),(101,1),(110,1),(152,1),(154,1),(155,1),(165,1)}
      129:{1,2,5}:{(100,1),(101,1),(154,1),(156,1)}
      130:{2,3,6}:{(101,1),(102,1),(155,1),(156,1)}
      131:{1,2,6}:{(103,1),(104,1),(105,1)}
      132:{2,4,6}:{(103,1),(106,1),(108,1),(158,1)}
      133:{1,2,4}:{(105,1),(106,1),(109,1),(159,1)}
      134:{2,4,5}:{(106,1),(110,1),(114,1),(158,1),(161,1)}
      135:{1,4,6}:{(107,1),(108,1),(109,1),(162,1),(163,1),(216,1),(220,1)}
      136:{4,5}:{(108,1),(152,1),(158,1)}
      137:{3,4}:{(109,1),(159,1),(165,1)}
      138:{1,4,5}:{(109,1),(110,1),(111,1),(165,1),(166,1)}
      139:{4,6}:{(110,1),(112,1)}
      140:{1,2,5,6}:{(111,1),(112,1),(118,1),(156,1),(166,1),(168,1),(195,1)}
      141:{1,2,3}:{(113,1),(115,1),(159,1)}
      142:{1,2,5}:{(113,1),(114,1),(116,1),(168,1)}
      143:{2,3,6}:{(114,1),(117,1),(161,1),(168,1)}
      144:{1,3,5}:{(115,1),(116,1),(165,1),(169,1)}
      145:{1,4,6}:{(116,1),(117,1),(118,1),(168,1),(169,1)}
      146:{2,3,5,6}:{(119,1),(120,1),(121,1),(170,1),(171,1),(173,1),(204,1)}
      147:{1,5,6}:{(120,1),(122,1),(176,1)}
      148:{1,2,6}:{(121,1),(122,1),(123,1)}
      149:{2,3,4,6}:{(121,1),(124,1),(126,1),(132,1),(171,1),(172,1),(173,1),(180,1),(204,1),(209,1),(223,1)}
      150:{1,2,4}:{(123,1),(124,1),(127,1),(174,1)}
      151:{1,4,6}:{(125,1),(126,1),(127,1),(176,1)}
      152:{3,5}:{(126,1),(136,1),(176,1)}
      153:{1,3,4}:{(127,1),(137,1),(174,1),(178,1)}
      154:{1,4,5}:{(127,1),(128,1),(129,1),(176,1),(178,1),(179,1)}
      155:{3,4,6}:{(128,1),(130,1),(139,1),(177,1),(179,1),(187,1)}
      156:{1,2,6}:{(129,1),(130,1),(179,1)}
      157:{1,2,4,6}:{(131,1),(132,1),(133,1),(135,1),(180,1),(181,1),(209,1),(224,1),(225,1),(226,1)}
      158:{2,5}:{(132,1),(136,1)}
      159:{2,3}:{(133,1),(137,1)}
      160:{1,2,4,5}:{(133,1),(134,1),(138,1),(142,1),(181,1),(183,1),(184,1),(188,1),(209,1),(214,1),(227,1)}
      161:{2,4,6}:{(134,1),(139,1),(143,1),(182,1)}
      162:{3,4,6}:{(135,1),(137,1),(180,1),(185,1),(187,1),(204,1),(209,1),(223,1)}
      163:{1,4,5}:{(135,1),(136,1),(176,1),(181,1),(185,1),(209,1),(214,1),(227,1)}
      164:{4,5,6}:{(136,1),(139,1),(177,1),(182,1)}
      165:{3,5}:{(137,1),(138,1),(187,1)}
      166:{1,4,6}:{(138,1),(139,1),(140,1),(187,1)}
      167:{1,2,3,5}:{(141,1),(142,1),(144,1),(183,1),(188,1),(189,1),(214,1)}
      168:{1,2,6}:{(142,1),(143,1),(145,1)}
      169:{1,3,6}:{(144,1),(145,1),(187,1)}
      170:{1,2,5,6}:{(146,1),(147,1),(148,1),(190,1),(193,1)}
      171:{4,6}:{(146,1),(191,1)}
      172:{1,2,4,6}:{(148,1),(149,1),(150,1),(151,1),(190,1),(192,1),(193,1),(216,1)}
      173:{2,3,5}:{(149,1),(152,1),(158,1),(191,1),(193,1),(215,1)}
      174:{1,2,3}:{(150,1),(153,1),(159,1)}
      175:{1,3,4,6}:{(151,1),(153,1),(162,1),(192,1),(194,1),(196,1),(216,1),(218,1)}
      176:{1,5}:{(151,1),(152,1)}
      177:{3,5,6}:{(152,1),(155,1),(164,1),(195,1)}
      178:{1,3,5}:{(153,1),(154,1),(165,1),(196,1)}
      179:{1,4,6}:{(154,1),(155,1),(156,1),(195,1),(196,1)}
      180:{2,3,6}:{(157,1),(159,1),(162,1),(197,1),(228,1)}
      181:{1,2,5}:{(157,1),(158,1),(163,1),(197,1),(229,1)}
      182:{2,5,6}:{(158,1),(161,1),(164,1)}
      183:{2,3,5}:{(159,1),(160,1),(165,1),(199,1),(200,1),(221,1)}
      184:{1,2,4,6}:{(160,1),(161,1),(166,1),(168,1),(198,1),(200,1),(203,1),(220,1)}
      185:{3,5}:{(162,1),(163,1)}
      186:{1,4,5,6}:{(163,1),(164,1),(166,1),(195,1),(198,1),(202,1),(218,1),(220,1)}
      187:{3,6}:{(165,1),(166,1)}
      188:{1,4}:{(167,1),(199,1)}
      189:{1,2,3,6}:{(167,1),(168,1),(169,1),(200,1),(203,1)}
      190:{1,4,6}:{(170,1),(171,1),(204,1),(205,1)}
      191:{4,5}:{(171,1),(173,1),(209,1)}
      192:{1,2,3,6}:{(172,1),(174,1),(175,1),(180,1),(204,1),(206,1),(225,1)}
      193:{1,2,5}:{(172,1),(173,1),(176,1),(205,1)}
      194:{1,3,5}:{(175,1),(176,1),(185,1),(207,1)}
      195:{1,5,6}:{(176,1),(177,1),(179,1)}
      196:{1,3,6}:{(178,1),(179,1),(187,1)}
      197:{2,3,5}:{(180,1),(181,1),(185,1),(209,1)}
      198:{1,2,5,6}:{(181,1),(182,1),(184,1),(186,1),(210,1),(214,1),(225,1)}
      199:{3,4}:{(183,1),(188,1),(209,1)}
      200:{2,3,6}:{(183,1),(184,1),(187,1),(211,1)}
      201:{3,4,5}:{(185,1),(207,1),(209,1),(212,1),(213,1),(223,1),(227,1)}
      202:{3,5,6}:{(185,1),(186,1),(187,1),(213,1)}
      203:{1,4,6}:{(188,1),(189,1),(211,1),(214,1)}
      204:{3,6}:{(190,1),(215,1)}
      205:{1,4,5}:{(190,1),(191,1),(193,1),(215,1),(216,1)}
      206:{1,2,3,5}:{(192,1),(193,1),(194,1),(197,1),(215,1),(216,1),(217,1),(228,1)}
      207:{1,4,5}:{(194,1),(201,1),(216,1),(217,1),(218,1)}
      208:{1,3,5,6}:{(194,1),(195,1),(196,1),(202,1),(218,1)}
      209:{4}:{(197,1)}
      210:{2,3,5,6}:{(197,1),(198,1),(200,1),(202,1),(220,1),(221,1),(222,1),(229,1)}
      211:{3,4,6}:{(199,1),(200,1),(203,1),(220,1),(221,1)}
      212:{2,3,5}:{(201,1),(217,1),(219,1),(222,1),(228,1),(229,1)}
      213:{3,4,6}:{(201,1),(202,1),(218,1),(220,1),(222,1)}
      214:{1,5}:{(203,1),(221,1)}
      215:{3,5}:{(204,1),(205,1),(223,1)}
      216:{1,4}:{(206,1),(209,1),(223,1)}
      217:{1,2,5}:{(207,1),(212,1),(224,1),(225,1)}
      218:{1,4,6}:{(207,1),(208,1),(213,1),(225,1)}
      219:{2,4}:{(209,1),(212,1)}
      220:{4,6}:{(209,1),(210,1),(227,1)}
      221:{3,5}:{(211,1),(214,1),(227,1)}
      222:{2,3,6}:{(212,1),(213,1),(225,1),(226,1)}
      223:{3,4}:{(215,1),(216,1),(228,1)}
      224:{1,2,4}:{(216,1),(217,1),(219,1),(228,1)}
      225:{1,2,6}:{(217,1),(218,1),(222,1)}
      226:{2,4,6}:{(219,1),(220,1),(222,1),(229,1)}
      227:{4,5}:{(220,1),(221,1),(229,1)}
      228:{2,3}:{(223,1),(224,1)}
      229:{2,5}:{(226,1),(227,1)}

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

362 :   0:{1,4,5,6}:{(2,1),(3,1),(15,1),(17,1),(46,1),(125,1),(132,1),(174,1)}
        1:{1,2,4,5}:{(4,1),(5,1),(23,1),(30,1),(51,1),(55,1),(58,1),(66,1),(103,1),(116,1),(159,1)}
        2:{1,2,5,6}:{(0,1),(4,1),(7,1),(27,1),(58,1),(66,1),(99,1)}
        3:{3,5,6}:{(0,1),(6,1),(68,1),(158,1)}
        4:{1,2,4,6}:{(1,1),(2,1),(10,1),(17,1),(36,1),(75,1),(81,1),(132,1)}
        5:{2,3,5}:{(1,1),(10,1),(12,1),(37,1),(131,1),(180,1)}
        6:{3,4,6}:{(3,1),(13,1),(14,1),(15,1),(17,1)}
        7:{2,3,5,6}:{(2,1),(3,1),(10,1),(14,1),(17,1),(37,1),(44,1),(90,1)}
        8:{1,3,5,6}:{(3,1),(15,1),(18,1),(174,1),(179,1)}
        9:{1,3,4,6}:{(15,1),(18,1),(19,1),(45,1),(48,1),(178,1),(179,1),(185,1)}
       10:{2,3,6}:{(4,1),(5,1),(22,1),(158,1)}
       11:{1,2,3,5}:{(5,1),(21,1),(23,1),(54,1),(55,1),(58,1),(60,1)}
       12:{3,4}:{(5,1),(23,1),(116,1)}
       13:{3,4,5}:{(6,1),(25,1),(26,1),(30,1),(68,1),(70,1),(116,1)}
       14:{2,3,6}:{(6,1),(25,1),(27,1),(28,1)}
       15:{1,4,6}:{(6,1),(8,1),(26,1),(27,1)}
       16:{1,2,3,5,6}:{(7,1),(8,1),(21,1),(27,1),(29,1),(31,1),(58,1),(65,1),(66,1),(68,1),(73,1),(105,1),(106,1),(110,1),(117,1),(122,1),(158,1),(162,1),(164,1),(202,1)}
       17:{4,6}:{(7,1),(30,1),(116,1)}
       18:{1,3,5}:{(9,1),(26,1),(68,1),(202,1)}
       19:{1,2,3,6}:{(9,1),(27,1),(31,1),(32,1),(65,1),(122,1),(196,1)}
       20:{2,3,4}:{(12,1),(34,1),(35,1),(127,1),(142,1),(180,1)}
       21:{1,2,3,6}:{(10,1),(11,1),(36,1),(81,1),(84,1)}
       22:{3,4,6}:{(10,1),(12,1),(17,1),(36,1),(37,1)}
       23:{1,4}:{(11,1),(12,1)}
       24:{3,4,5}:{(12,1),(35,1),(37,1),(39,1),(40,1),(76,1),(127,1),(131,1),(177,1)}
       25:{2,3,5}:{(13,1),(14,1),(41,1),(42,1),(44,1),(87,1)}
       26:{1,4,5}:{(13,1),(15,1),(18,1),(41,1),(48,1)}
       27:{1,2,6}:{(14,1),(15,1),(41,1)}
       28:{2,4,6}:{(14,1),(17,1),(42,1),(44,1)}
       29:{1,4,6}:{(16,1),(17,1),(45,1),(46,1),(48,1),(133,1),(143,1)}
       30:{4,5}:{(17,1),(37,1),(44,1)}
       31:{1,2,3,5}:{(18,1),(19,1),(41,1),(48,1),(50,1),(87,1),(90,1),(95,1)}
       32:{1,2,4,6}:{(19,1),(48,1),(49,1),(50,1),(96,1),(184,1),(185,1),(189,1)}
       33:{2,3,4,6}:{(20,1),(22,1),(28,1),(52,1),(53,1),(56,1),(62,1),(65,1),(104,1),(113,1),(116,1),(154,1),(157,1),(158,1),(166,1),(167,1),(194,1),(198,1),(220,1)}
       34:{1,2,4}:{(20,1),(23,1),(54,1),(55,1),(107,1)}
       35:{2,3,5}:{(20,1),(24,1),(51,1),(55,1),(56,1)}
       36:{1,4,6}:{(21,1),(22,1),(23,1),(58,1)}
       37:{3,5}:{(22,1),(30,1),(58,1)}
       38:{1,3,4}:{(23,1),(54,1),(60,1),(107,1),(157,1)}
       39:{1,4,5}:{(23,1),(24,1),(55,1),(58,1),(60,1),(61,1),(107,1),(161,1)}
       40:{3,4,6}:{(24,1),(56,1),(59,1),(61,1),(104,1),(158,1)}
       41:{1,2,5}:{(25,1),(26,1),(27,1),(63,1)}
       42:{2,4}:{(25,1),(116,1)}
       43:{1,2,4,6}:{(27,1),(28,1),(29,1),(63,1),(65,1),(66,1),(116,1),(159,1),(162,1),(167,1)}
       44:{2,5}:{(28,1),(30,1)}
       45:{3,4,6}:{(29,1),(65,1),(68,1),(70,1),(116,1),(122,1),(157,1),(158,1)}
       46:{1,4,5}:{(29,1),(30,1),(58,1),(66,1),(68,1),(116,1),(168,1),(202,1)}
       47:{4,5,6}:{(30,1),(59,1),(67,1),(104,1),(195,1)}
       48:{1,4}:{(31,1),(70,1),(116,1)}
       49:{2,3,4,6}:{(32,1),(65,1),(70,1),(72,1),(116,1),(122,1),(124,1),(165,1),(166,1),(167,1),(171,1)}
       50:{1,2,5}:{(32,1),(71,1),(72,1),(202,1)}
       51:{2,4,5}:{(35,1),(75,1),(76,1),(142,1),(188,1)}
       52:{1,2,4,6}:{(33,1),(34,1),(36,1),(77,1),(78,1),(81,1),(85,1),(132,1),(133,1),(135,1),(139,1),(185,1)}
       53:{2,3,5}:{(33,1),(37,1),(44,1),(76,1),(78,1),(131,1),(177,1),(187,1),(188,1),(209,1)}
       54:{1,2,3}:{(34,1),(38,1),(180,1)}
       55:{1,2,5}:{(34,1),(35,1),(39,1),(81,1)}
       56:{2,3,6}:{(35,1),(40,1),(75,1),(81,1)}
       57:{1,3,4,6}:{(36,1),(38,1),(45,1),(77,1),(82,1),(84,1),(94,1),(133,1),(135,1),(137,1),(146,1),(181,1),(185,1)}
       58:{1,5}:{(36,1),(37,1)}
       59:{3,5,6}:{(37,1),(40,1),(47,1),(83,1),(177,1)}
       60:{1,3,5}:{(38,1),(39,1),(84,1),(131,1)}
       61:{1,4,6}:{(39,1),(40,1),(81,1),(83,1),(84,1)}
       62:{2,3,4}:{(42,1),(85,1),(86,1),(87,1),(140,1),(224,1),(229,1)}
       63:{1,2,4}:{(41,1),(42,1),(48,1),(87,1)}
       64:{2,4,5}:{(42,1),(44,1),(76,1),(86,1),(89,1),(209,1),(224,1)}
       65:{2,3,6}:{(43,1),(45,1),(87,1),(90,1),(180,1)}
       66:{1,2,5}:{(43,1),(44,1),(46,1),(90,1),(188,1)}
       67:{2,5,6}:{(44,1),(47,1),(89,1),(209,1)}
       68:{3,5}:{(45,1),(46,1)}
       69:{1,4,5,6}:{(46,1),(47,1),(83,1),(91,1),(93,1),(96,1),(132,1),(137,1),(143,1),(150,1),(183,1),(190,1),(215,1)}
       70:{3,4}:{(48,1),(87,1),(95,1)}
       71:{1,4,5}:{(48,1),(50,1),(95,1),(96,1),(97,1)}
       72:{2,3,5}:{(49,1),(50,1),(95,1),(97,1),(187,1),(188,1)}
       73:{1,2,5,6}:{(50,1),(96,1),(98,1),(189,1),(190,1)}
       74:{1,2,4,5}:{(51,1),(55,1),(100,1),(101,1),(103,1),(107,1),(159,1),(161,1),(195,1),(200,1),(220,1)}
       75:{2,4,6}:{(51,1),(56,1),(99,1),(104,1)}
       76:{4,5}:{(53,1),(104,1),(116,1),(220,1)}
       77:{1,2,3,6}:{(52,1),(54,1),(57,1),(65,1),(105,1),(111,1),(158,1),(162,1),(198,1)}
       78:{1,2,5}:{(52,1),(53,1),(58,1),(103,1),(161,1),(202,1)}
       79:{2,3,5,6}:{(53,1),(56,1),(59,1),(67,1),(99,1),(104,1),(106,1),(113,1),(151,1),(158,1)}
       80:{1,2,3,5}:{(54,1),(55,1),(60,1),(100,1),(107,1),(108,1),(161,1)}
       81:{1,2,6}:{(55,1),(56,1),(61,1)}
       82:{1,3,5}:{(57,1),(58,1),(68,1),(109,1),(161,1),(199,1),(202,1)}
       83:{1,5,6}:{(58,1),(59,1),(61,1),(161,1)}
       84:{1,3,6}:{(60,1),(61,1),(158,1)}
       85:{1,2,4}:{(62,1),(111,1),(112,1),(163,1)}
       86:{2,3,5}:{(62,1),(64,1),(102,1),(112,1),(113,1)}
       87:{2,3}:{(63,1),(70,1)}
       88:{1,2,4,5}:{(63,1),(64,1),(66,1),(71,1),(103,1),(112,1),(114,1),(115,1),(116,1),(123,1),(159,1),(163,1),(168,1),(169,1),(200,1),(202,1),(220,1),(221,1),(227,1)}
       89:{2,4,6}:{(64,1),(67,1),(104,1),(113,1)}
       90:{2,3,5}:{(65,1),(66,1),(68,1),(116,1)}
       91:{1,2,5,6}:{(66,1),(67,1),(69,1),(115,1),(117,1),(162,1),(173,1),(200,1),(202,1)}
       92:{3,4,5}:{(68,1),(109,1),(116,1),(118,1),(119,1),(157,1),(168,1),(199,1),(220,1)}
       93:{3,5,6}:{(68,1),(69,1),(119,1),(122,1),(158,1),(199,1),(222,1)}
       94:{1,3,4}:{(70,1),(111,1),(120,1),(163,1),(228,1)}
       95:{3,5}:{(70,1),(71,1),(122,1)}
       96:{1,4,6}:{(71,1),(73,1),(122,1),(124,1)}
       97:{4,5}:{(72,1),(116,1),(124,1)}
       98:{2,3,5,6}:{(72,1),(73,1),(122,1),(124,1),(171,1),(172,1),(173,1)}
       99:{2,5,6}:{(75,1),(125,1),(188,1)}
      100:{2,3,5}:{(74,1),(127,1),(128,1),(131,1),(177,1),(180,1)}
      101:{1,2,4,6}:{(74,1),(75,1),(81,1),(126,1),(128,1),(132,1),(135,1),(176,1)}
      102:{3,4,5}:{(76,1),(86,1),(129,1),(130,1),(131,1),(140,1),(187,1)}
      103:{1,4,5}:{(76,1),(78,1),(131,1),(132,1),(133,1)}
      104:{4,6}:{(76,1),(79,1)}
      105:{1,2,3,5}:{(77,1),(78,1),(82,1),(90,1),(131,1),(133,1),(136,1),(180,1),(212,1)}
      106:{1,2,5,6}:{(78,1),(79,1),(81,1),(83,1),(132,1),(139,1),(174,1)}
      107:{1,4}:{(80,1),(127,1)}
      108:{1,2,3,6}:{(80,1),(81,1),(84,1),(128,1),(135,1)}
      109:{1,4,5}:{(82,1),(92,1),(133,1),(136,1),(137,1)}
      110:{1,3,5,6}:{(82,1),(83,1),(84,1),(93,1),(137,1),(146,1),(190,1)}
      111:{1,2,3}:{(85,1),(87,1),(94,1),(229,1)}
      112:{1,2,5}:{(85,1),(86,1),(129,1),(139,1)}
      113:{2,3,6}:{(86,1),(89,1),(130,1),(139,1)}
      114:{2,3,5}:{(87,1),(88,1),(95,1),(131,1),(140,1),(141,1),(180,1),(187,1),(226,1),(229,1)}
      115:{1,2,4,6}:{(88,1),(89,1),(91,1),(96,1),(132,1),(139,1),(141,1),(143,1),(149,1),(185,1),(189,1),(215,1)}
      116:{4}:{(90,1)}
      117:{2,3,5,6}:{(90,1),(91,1),(93,1),(141,1),(143,1),(144,1),(187,1),(188,1),(212,1)}
      118:{2,3,5}:{(92,1),(136,1),(142,1),(144,1),(180,1),(188,1)}
      119:{3,4,6}:{(92,1),(93,1),(137,1),(143,1),(144,1)}
      120:{1,3,5}:{(94,1),(95,1),(145,1),(146,1),(226,1)}
      121:{3,4,5}:{(95,1),(97,1),(140,1),(145,1),(147,1),(148,1),(187,1),(214,1),(226,1)}
      122:{3,6}:{(95,1),(96,1)}
      123:{2,4,5}:{(97,1),(142,1),(147,1),(149,1),(188,1),(214,1)}
      124:{4,6}:{(97,1),(98,1)}
      125:{4,5,6}:{(99,1),(104,1),(151,1),(168,1)}
      126:{1,2,5,6}:{(99,1),(101,1),(152,1),(153,1),(161,1),(200,1),(216,1)}
      127:{3,4}:{(100,1),(107,1),(220,1)}
      128:{2,3,6}:{(100,1),(101,1),(154,1),(158,1)}
      129:{1,4,5}:{(102,1),(112,1),(155,1),(156,1),(163,1),(202,1)}
      130:{3,4,6}:{(102,1),(104,1),(113,1),(151,1),(156,1),(158,1)}
      131:{3,5}:{(103,1),(157,1),(158,1)}
      132:{1,4,6}:{(103,1),(104,1),(106,1),(158,1)}
      133:{1,4}:{(105,1),(116,1),(157,1),(220,1)}
      134:{1,2,3,5,6}:{(105,1),(106,1),(108,1),(110,1),(117,1),(153,1),(158,1),(160,1),(161,1),(162,1),(164,1),(192,1),(198,1),(199,1),(200,1),(202,1),(204,1),(216,1),(219,1),(222,1)}
      135:{1,4,6}:{(107,1),(108,1),(154,1),(161,1)}
      136:{1,2,5}:{(109,1),(118,1),(159,1),(162,1)}
      137:{1,4,6}:{(109,1),(110,1),(119,1),(162,1)}
      138:{1,2,3,5}:{(111,1),(112,1),(114,1),(120,1),(155,1),(163,1),(164,1),(169,1),(196,1),(202,1)}
      139:{1,2,6}:{(112,1),(113,1),(156,1)}
      140:{3,4}:{(114,1),(116,1),(163,1),(220,1)}
      141:{2,3,6}:{(114,1),(115,1),(122,1),(158,1),(166,1),(222,1)}
      142:{2,4}:{(116,1),(118,1),(220,1)}
      143:{4,6}:{(116,1),(117,1),(168,1),(220,1)}
      144:{2,3,6}:{(118,1),(119,1),(162,1),(167,1)}
      145:{1,4,5}:{(120,1),(121,1),(163,1),(169,1),(170,1),(202,1)}
      146:{1,3,6}:{(120,1),(122,1),(170,1),(222,1)}
      147:{2,3,5}:{(121,1),(123,1),(165,1),(169,1),(171,1)}
      148:{3,4,6}:{(121,1),(122,1),(124,1),(170,1),(171,1),(172,1),(205,1),(222,1)}
      149:{2,4,6}:{(123,1),(124,1),(171,1),(173,1),(205,1)}
      150:{4,5,6}:{(124,1),(168,1),(172,1),(173,1),(205,1)}
      151:{3,5,6}:{(125,1),(130,1),(174,1),(187,1)}
      152:{1,4,5,6}:{(125,1),(126,1),(132,1),(174,1),(175,1),(176,1),(183,1),(206,1)}
      153:{2,3,5,6}:{(126,1),(128,1),(175,1),(176,1),(177,1),(207,1),(209,1),(212,1)}
      154:{3,4,6}:{(127,1),(128,1),(135,1),(176,1),(177,1)}
      155:{1,3,5}:{(129,1),(131,1),(178,1),(179,1)}
      156:{1,4,6}:{(129,1),(130,1),(139,1),(174,1),(179,1)}
      157:{3,4}:{(131,1),(133,1),(180,1)}
      158:{3,6}:{(131,1),(132,1)}
      159:{1,2,4}:{(133,1),(136,1),(142,1),(180,1)}
      160:{1,4,6}:{(133,1),(134,1),(143,1),(176,1),(181,1),(183,1),(225,1)}
      161:{1,5}:{(135,1),(177,1)}
      162:{1,2,6}:{(136,1),(137,1),(144,1)}
      163:{1,4}:{(138,1),(140,1)}
      164:{1,2,3,6}:{(138,1),(139,1),(141,1),(146,1),(179,1),(185,1),(189,1)}
      165:{2,3,4}:{(140,1),(142,1),(147,1),(180,1),(184,1)}
      166:{3,4,6}:{(140,1),(141,1),(143,1),(185,1),(187,1)}
      167:{2,4,6}:{(142,1),(143,1),(144,1),(188,1)}
      168:{4,5}:{(143,1),(187,1),(188,1)}
      169:{1,2,5}:{(145,1),(147,1),(184,1),(189,1)}
      170:{1,4,6}:{(145,1),(146,1),(148,1),(189,1),(190,1)}
      171:{2,3,6}:{(147,1),(148,1),(149,1),(189,1)}
      172:{3,5,6}:{(148,1),(150,1),(187,1),(190,1)}
      173:{2,5,6}:{(149,1),(150,1),(188,1)}
      174:{1,5,6}:{(151,1),(156,1),(202,1)}
      175:{3,5,6}:{(152,1),(158,1),(193,1),(199,1)}
      176:{4,6}:{(153,1),(195,1),(220,1)}
      177:{3,5}:{(154,1),(161,1),(195,1)}
      178:{1,3,4}:{(155,1),(157,1),(163,1),(196,1)}
      179:{1,3,6}:{(155,1),(156,1),(158,1)}
      180:{2,3}:{(157,1),(159,1)}
      181:{3,4,6}:{(157,1),(158,1),(160,1),(198,1),(199,1),(220,1),(222,1),(228,1)}
      182:{1,2,4,6}:{(159,1),(160,1),(162,1),(167,1),(194,1),(198,1),(200,1),(216,1),(220,1),(227,1)}
      183:{1,4,5}:{(160,1),(161,1),(168,1),(195,1),(199,1),(200,1),(202,1),(220,1)}
      184:{1,2,4}:{(163,1),(165,1),(169,1),(196,1)}
      185:{1,4,6}:{(163,1),(164,1),(166,1),(202,1)}
      186:{2,3,4,6}:{(165,1),(166,1),(167,1),(171,1),(198,1),(201,1),(203,1),(205,1),(220,1),(222,1),(228,1)}
      187:{3,5}:{(166,1),(168,1),(202,1)}
      188:{2,5}:{(167,1),(168,1)}
      189:{1,2,6}:{(169,1),(170,1),(171,1)}
      190:{1,5,6}:{(170,1),(172,1),(202,1)}
      191:{2,3,5,6}:{(171,1),(172,1),(173,1),(203,1),(204,1),(205,1),(222,1)}
      192:{1,3,5,6}:{(174,1),(175,1),(179,1),(206,1),(211,1)}
      193:{3,4,6}:{(175,1),(176,1),(206,1),(207,1),(208,1)}
      194:{2,4,6}:{(176,1),(207,1),(209,1),(224,1)}
      195:{4,5}:{(176,1),(177,1),(209,1)}
      196:{1,2,3}:{(178,1),(180,1),(184,1)}
      197:{1,3,4,6}:{(178,1),(179,1),(181,1),(185,1),(206,1),(210,1),(211,1),(225,1)}
      198:{2,3,6}:{(180,1),(181,1),(182,1),(212,1),(229,1)}
      199:{3,5}:{(181,1),(183,1)}
      200:{1,2,5}:{(182,1),(183,1),(188,1),(209,1),(212,1)}
      201:{1,2,4,6}:{(184,1),(185,1),(186,1),(189,1),(210,1),(213,1),(215,1),(225,1)}
      202:{1,5}:{(185,1),(187,1)}
      203:{2,3,5}:{(186,1),(187,1),(188,1),(213,1),(214,1),(226,1)}
      204:{1,2,5,6}:{(189,1),(190,1),(191,1),(213,1),(215,1)}
      205:{4,6}:{(191,1),(214,1)}
      206:{1,4,6}:{(192,1),(193,1),(216,1),(217,1)}
      207:{2,3,6}:{(193,1),(194,1),(216,1),(218,1)}
      208:{3,4,5}:{(193,1),(195,1),(199,1),(217,1),(218,1),(220,1),(228,1)}
      209:{2,5}:{(194,1),(195,1)}
      210:{1,2,3,6}:{(196,1),(197,1),(198,1),(201,1),(216,1),(219,1),(222,1)}
      211:{1,3,5}:{(197,1),(199,1),(202,1),(217,1)}
      212:{2,3,5}:{(198,1),(199,1),(200,1),(220,1)}
      213:{1,2,5}:{(201,1),(202,1),(203,1),(221,1)}
      214:{4,5}:{(203,1),(205,1),(220,1)}
      215:{1,4,6}:{(204,1),(205,1),(221,1),(222,1)}
      216:{1,2,6}:{(206,1),(207,1),(223,1)}
      217:{1,4,5}:{(206,1),(208,1),(211,1),(223,1),(225,1)}
      218:{2,3,5}:{(207,1),(208,1),(209,1),(223,1),(224,1),(229,1)}
      219:{1,2,3,5}:{(210,1),(211,1),(212,1),(213,1),(223,1),(225,1),(226,1),(229,1)}
      220:{4}:{(212,1)}
      221:{1,4,5}:{(213,1),(214,1),(215,1),(225,1),(226,1)}
      222:{3,6}:{(215,1),(226,1)}
      223:{1,2,5}:{(216,1),(217,1),(218,1),(227,1)}
      224:{2,4}:{(218,1),(220,1)}
      225:{1,4}:{(219,1),(220,1),(228,1)}
      226:{3,5}:{(221,1),(222,1),(228,1)}
      227:{1,2,4}:{(223,1),(224,1),(225,1),(229,1)}
      228:{3,4}:{(225,1),(226,1),(229,1)}
      229:{2,3}:{(227,1),(228,1)}

363 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{1,4,5}:{(1,1),(6,1),(7,1),(12,1)}
       5:{2,3,6}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{1,2,5}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{2,4,6}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{1,2,4}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,5}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,3}:{(10,1),(16,1)}
      14:{2,5,6}:{(11,1),(18,1)}
      15:{4,5}:{(11,1),(12,1),(18,1),(19,1)}
      16:{3,4}:{(12,1),(13,1),(19,1),(20,1)}
      17:{1,2,3}:{(13,1),(20,1)}
      18:{4,6}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,4}:{(16,1),(17,1),(22,1)}
      21:{3,6}:{(18,1),(19,1),(23,1)}
      22:{1,5}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

364 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(12,1),(22,1),(40,1),(50,1),(57,1),(59,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(14,1),(19,1),(20,1),(47,1),(54,1)}
       2:{4,6}:{(0,1),(4,1),(31,1)}
       3:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       4:{4,5}:{(2,1),(10,1),(11,1),(27,1),(59,1)}
       5:{2,4,6}:{(2,1),(10,1),(12,1),(27,1),(36,1),(50,1)}
       6:{3,4,6}:{(2,1),(9,1),(11,1),(12,1),(13,1),(21,1),(27,1),(41,1)}
       7:{1,4,5}:{(3,1),(4,1),(14,1),(15,1),(19,1),(29,1),(31,1),(34,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(14,1),(16,1),(20,1),(31,1),(32,1),(34,1),(42,1),(54,1),(58,1)}
       9:{3,6}:{(3,1),(15,1)}
      10:{2,5}:{(4,1),(5,1)}
      11:{3,5}:{(4,1),(6,1),(19,1)}
      12:{2,3,6}:{(5,1),(6,1),(18,1),(20,1),(28,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(29,1),(34,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1),(22,1),(35,1),(39,1),(59,1)}
      15:{3,5}:{(7,1),(9,1),(21,1),(41,1)}
      16:{2,3,6}:{(8,1),(9,1),(22,1),(25,1),(41,1),(48,1),(50,1)}
      17:{1,3,6}:{(9,1),(13,1),(23,1),(41,1)}
      18:{2,3,5}:{(10,1),(11,1),(12,1),(26,1),(27,1),(41,1)}
      19:{1,5}:{(11,1),(13,1)}
      20:{1,2,6}:{(12,1),(13,1),(26,1),(35,1)}
      21:{3,4}:{(15,1),(28,1),(29,1),(31,1)}
      22:{2,3,5}:{(14,1),(15,1),(16,1),(28,1),(31,1),(33,1),(43,1)}
      23:{1,3,5}:{(15,1),(17,1),(19,1),(29,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(20,1),(30,1),(32,1),(54,1),(55,1)}
      25:{3,4,6}:{(16,1),(31,1),(32,1),(33,1),(44,1),(46,1),(55,1),(58,1)}
      26:{1,2,5}:{(18,1),(19,1),(20,1),(34,1)}
      27:{4}:{(18,1)}
      28:{2,3}:{(21,1),(35,1),(36,1)}
      29:{1,4}:{(21,1),(23,1),(35,1)}
      30:{1,2,3,5}:{(22,1),(23,1),(24,1),(26,1),(35,1),(37,1),(39,1),(41,1),(48,1),(49,1),(51,1)}
      31:{4}:{(22,1)}
      32:{1,4,6}:{(24,1),(25,1),(37,1),(39,1)}
      33:{3,5}:{(25,1),(38,1),(39,1),(59,1)}
      34:{1,4}:{(26,1),(27,1),(41,1)}
      35:{1,2}:{(28,1),(29,1)}
      36:{2,4}:{(28,1),(31,1),(43,1)}
      37:{1,4}:{(30,1),(31,1),(44,1)}
      38:{4,5}:{(31,1),(33,1),(43,1),(46,1)}
      39:{1,5}:{(32,1),(33,1)}
      40:{3,5,6}:{(33,1),(46,1),(47,1),(55,1)}
      41:{3}:{(34,1)}
      42:{1,2,4}:{(35,1),(36,1),(37,1),(48,1),(49,1),(56,1)}
      43:{2,5}:{(36,1),(38,1),(50,1)}
      44:{3,4}:{(37,1),(41,1),(48,1),(51,1),(56,1)}
      45:{1,4,5}:{(37,1),(38,1),(39,1),(49,1),(51,1),(52,1),(56,1),(59,1)}
      46:{4,6}:{(38,1),(40,1),(50,1)}
      47:{1,5,6}:{(39,1),(40,1),(52,1),(59,1)}
      48:{2,3}:{(42,1),(44,1)}
      49:{1,2,5}:{(42,1),(43,1),(45,1),(53,1),(54,1)}
      50:{2,6}:{(43,1),(46,1)}
      51:{3,5}:{(44,1),(45,1),(55,1)}
      52:{1,4,6}:{(45,1),(46,1),(47,1),(54,1),(55,1),(58,1)}
      53:{2,3,5}:{(48,1),(49,1),(51,1),(56,1),(57,1),(59,1)}
      54:{1,2,6}:{(49,1),(50,1),(52,1),(57,1)}
      55:{3,6}:{(51,1),(52,1)}
      56:{4}:{(53,1)}
      57:{2,3,6}:{(53,1),(54,1),(55,1),(58,1)}
      58:{4,6}:{(56,1),(57,1),(59,1)}
      59:{5}:{(58,1)}

365 :   0:{2,3,4,6}:{(1,1),(2,1),(9,1),(13,1),(40,1),(45,1),(46,1),(90,1),(91,1),(131,1),(142,1)}
        1:{1,2,4,6}:{(0,1),(5,1),(6,1),(20,1),(27,1),(28,1),(62,1),(110,1)}
        2:{2,3,5}:{(0,1),(4,1),(6,1),(26,1),(116,1),(157,1)}
        3:{1,3,4,6}:{(5,1),(8,1),(28,1),(32,1),(60,1),(68,1),(108,1),(110,1)}
        4:{4,5}:{(2,1),(13,1),(142,1)}
        5:{1,2,3,6}:{(1,1),(3,1),(14,1),(38,1),(46,1),(51,1),(91,1)}
        6:{1,2,5}:{(1,1),(2,1),(12,1),(137,1)}
        7:{2,3,5,6}:{(2,1),(13,1),(15,1),(35,1),(36,1),(40,1),(46,1)}
        8:{1,3,5}:{(3,1),(16,1),(92,1),(137,1)}
        9:{2,3,4}:{(20,1),(21,1),(65,1),(158,1),(195,1)}
       10:{3,4,5}:{(4,1),(21,1),(22,1),(23,1),(26,1),(53,1),(65,1),(99,1),(116,1)}
       11:{2,4,5}:{(4,1),(21,1),(25,1),(53,1),(157,1),(158,1)}
       12:{1,4,5}:{(4,1),(6,1),(26,1),(27,1),(28,1)}
       13:{4,6}:{(4,1),(7,1)}
       14:{1,2,3,5}:{(5,1),(6,1),(8,1),(26,1),(28,1),(31,1),(67,1),(117,1)}
       15:{1,2,5,6}:{(6,1),(7,1),(27,1),(57,1),(62,1)}
       16:{1,4,5}:{(8,1),(28,1),(30,1),(31,1),(32,1)}
       17:{1,3,5,6}:{(8,1),(32,1),(73,1),(108,1),(160,1)}
       18:{2,3,4,6}:{(9,1),(33,1),(34,1),(40,1),(77,1),(90,1),(125,1),(126,1),(131,1),(174,1),(208,1)}
       19:{4,5,6}:{(13,1),(35,1),(36,1),(77,1),(132,1)}
       20:{1,2,4}:{(9,1),(38,1),(39,1),(84,1)}
       21:{2,3,5}:{(9,1),(10,1),(11,1),(39,1),(40,1)}
       22:{1,4,5}:{(10,1),(39,1),(41,1),(42,1),(84,1),(137,1)}
       23:{3,4,6}:{(10,1),(13,1),(35,1),(40,1),(42,1),(46,1),(77,1),(126,1)}
       24:{1,2,4,5}:{(11,1),(12,1),(39,1),(43,1),(44,1),(47,1),(76,1),(84,1),(93,1),(94,1),(127,1),(132,1),(134,1),(137,1),(142,1),(176,1),(177,1),(182,1),(208,1)}
       25:{2,4,6}:{(11,1),(13,1),(36,1),(40,1),(77,1)}
       26:{3,5}:{(12,1),(45,1),(46,1)}
       27:{1,4,6}:{(12,1),(13,1),(15,1),(46,1)}
       28:{1,4}:{(14,1),(45,1),(142,1)}
       29:{1,2,3,5,6}:{(14,1),(15,1),(17,1),(46,1),(48,1),(51,1),(80,1),(81,1),(85,1),(91,1),(92,1),(93,1),(96,1),(129,1),(137,1),(138,1),(147,1),(181,1),(188,1),(213,1)}
       30:{3,4,5}:{(16,1),(45,1),(49,1),(50,1),(92,1),(142,1),(145,1)}
       31:{1,2,5}:{(16,1),(47,1),(49,1),(51,1)}
       32:{1,4,6}:{(16,1),(17,1),(50,1),(51,1)}
       33:{1,2,4,6}:{(18,1),(20,1),(54,1),(55,1),(62,1),(100,1),(101,1),(110,1)}
       34:{2,3,5}:{(18,1),(53,1),(55,1),(99,1),(116,1),(157,1)}
       35:{3,5,6}:{(19,1),(23,1),(57,1),(116,1)}
       36:{2,5,6}:{(19,1),(25,1),(157,1)}
       37:{1,4,5,6}:{(19,1),(27,1),(57,1),(58,1),(59,1),(70,1),(100,1),(103,1),(104,1),(154,1),(167,1),(199,1),(204,1)}
       38:{1,2,3}:{(20,1),(60,1),(195,1)}
       39:{1,2,5}:{(20,1),(21,1),(22,1),(62,1)}
       40:{2,3,6}:{(21,1),(23,1),(25,1),(62,1)}
       41:{1,3,5}:{(22,1),(26,1),(63,1),(64,1),(99,1)}
       42:{1,4,6}:{(22,1),(23,1),(57,1),(62,1),(64,1)}
       43:{2,3,5}:{(24,1),(26,1),(65,1),(66,1),(67,1),(99,1),(116,1),(151,1),(195,1),(200,1)}
       44:{1,2,4,6}:{(24,1),(25,1),(27,1),(58,1),(62,1),(66,1),(100,1),(104,1),(110,1),(119,1),(159,1),(199,1)}
       45:{3,4}:{(26,1),(28,1),(67,1)}
       46:{3,6}:{(26,1),(27,1)}
       47:{1,2,4}:{(28,1),(31,1),(67,1),(71,1)}
       48:{1,4,6}:{(28,1),(29,1),(68,1),(70,1),(104,1),(121,1),(162,1)}
       49:{2,3,5}:{(30,1),(31,1),(67,1),(71,1),(72,1),(120,1)}
       50:{3,4,6}:{(30,1),(32,1),(72,1),(73,1),(121,1)}
       51:{1,2,6}:{(31,1),(32,1),(72,1)}
       52:{1,4,5,6}:{(32,1),(70,1),(73,1),(74,1),(121,1),(156,1),(160,1),(199,1)}
       53:{4,5}:{(34,1),(77,1),(208,1)}
       54:{1,2,3,6}:{(33,1),(38,1),(75,1),(78,1),(126,1),(172,1),(174,1)}
       55:{1,2,5}:{(33,1),(34,1),(76,1),(137,1)}
       56:{2,3,5,6}:{(34,1),(35,1),(36,1),(40,1),(77,1),(79,1),(126,1)}
       57:{1,5,6}:{(35,1),(42,1),(137,1)}
       58:{1,2,5,6}:{(36,1),(37,1),(44,1),(81,1),(93,1),(129,1),(137,1),(144,1),(176,1)}
       59:{3,5,6}:{(37,1),(46,1),(82,1),(92,1),(126,1),(175,1),(213,1)}
       60:{1,3,4}:{(38,1),(83,1),(84,1),(183,1)}
       61:{1,2,3,5}:{(38,1),(39,1),(41,1),(43,1),(83,1),(84,1),(85,1),(86,1),(134,1),(137,1)}
       62:{1,2,6}:{(39,1),(40,1),(42,1)}
       63:{1,3,4}:{(41,1),(45,1),(84,1),(86,1),(125,1)}
       64:{1,3,6}:{(41,1),(42,1),(46,1),(126,1)}
       65:{3,4}:{(43,1),(84,1),(142,1),(208,1)}
       66:{2,3,6}:{(43,1),(44,1),(46,1),(90,1),(126,1),(213,1)}
       67:{2,3}:{(45,1),(47,1)}
       68:{3,4,6}:{(45,1),(46,1),(48,1),(91,1),(92,1),(142,1),(183,1),(213,1)}
       69:{1,2,4,6}:{(47,1),(48,1),(51,1),(91,1),(93,1),(95,1),(129,1),(131,1),(142,1),(177,1)}
       70:{1,4,5}:{(48,1),(92,1),(93,1),(132,1),(137,1),(142,1),(145,1),(188,1)}
       71:{2,4}:{(49,1),(142,1)}
       72:{2,3,6}:{(49,1),(50,1),(51,1),(95,1)}
       73:{3,5,6}:{(50,1),(52,1),(92,1),(213,1)}
       74:{1,2,5,6}:{(51,1),(52,1),(93,1),(96,1),(97,1),(178,1),(188,1)}
       75:{1,3,4,6}:{(54,1),(60,1),(98,1),(101,1),(108,1),(110,1),(150,1),(152,1)}
       76:{1,4,5}:{(53,1),(55,1),(99,1),(100,1),(101,1)}
       77:{4,6}:{(53,1),(56,1)}
       78:{1,2,3,5}:{(54,1),(55,1),(98,1),(99,1),(101,1),(149,1),(151,1),(193,1)}
       79:{1,2,5,6}:{(55,1),(56,1),(57,1),(62,1),(100,1)}
       80:{1,3,5,6}:{(57,1),(59,1),(64,1),(103,1),(112,1),(204,1),(222,1)}
       81:{2,3,5,6}:{(58,1),(59,1),(66,1),(104,1),(105,1),(116,1),(117,1),(157,1),(193,1)}
       82:{3,4,6}:{(59,1),(103,1),(104,1),(105,1),(106,1)}
       83:{1,3,5}:{(60,1),(107,1),(108,1),(200,1)}
       84:{1,4}:{(61,1),(65,1)}
       85:{1,2,3,6}:{(61,1),(62,1),(64,1),(66,1),(108,1),(110,1),(159,1)}
       86:{1,2,3}:{(63,1),(67,1),(109,1),(151,1)}
       87:{1,3,4,6}:{(63,1),(64,1),(68,1),(103,1),(110,1),(111,1),(112,1),(152,1),(162,1),(169,1),(201,1),(222,1),(228,1)}
       88:{3,4,5}:{(65,1),(107,1),(113,1),(114,1),(116,1),(164,1),(200,1)}
       89:{2,3,4}:{(65,1),(67,1),(71,1),(109,1),(113,1),(151,1),(189,1)}
       90:{3,4,6}:{(65,1),(66,1),(104,1),(110,1),(116,1)}
       91:{2,3,6}:{(67,1),(68,1),(69,1),(117,1),(195,1)}
       92:{3,5}:{(68,1),(70,1)}
       93:{1,2,5}:{(69,1),(70,1),(117,1),(120,1),(157,1)}
       94:{2,4,5}:{(71,1),(113,1),(119,1),(120,1),(164,1),(189,1),(216,1)}
       95:{2,4,6}:{(71,1),(72,1),(120,1),(121,1)}
       96:{2,3,5,6}:{(72,1),(73,1),(74,1),(117,1),(120,1),(121,1),(122,1),(168,1)}
       97:{1,2,4,6}:{(74,1),(118,1),(121,1),(122,1),(169,1),(196,1),(199,1),(221,1)}
       98:{1,3,5}:{(75,1),(123,1),(137,1),(175,1)}
       99:{3,5}:{(76,1),(125,1),(126,1)}
      100:{1,4,6}:{(76,1),(77,1),(79,1),(126,1)}
      101:{1,4}:{(78,1),(125,1),(208,1)}
      102:{1,2,3,5,6}:{(78,1),(79,1),(80,1),(81,1),(85,1),(124,1),(126,1),(128,1),(129,1),(137,1),(138,1),(172,1),(174,1),(175,1),(176,1),(181,1),(206,1),(213,1),(225,1),(229,1)}
      103:{1,4,6}:{(80,1),(82,1),(129,1),(130,1)}
      104:{4,6}:{(81,1),(132,1),(142,1),(208,1)}
      105:{2,3,6}:{(82,1),(129,1),(131,1),(133,1)}
      106:{3,4,5}:{(82,1),(92,1),(130,1),(132,1),(133,1),(142,1),(175,1),(183,1),(208,1)}
      107:{1,4,5}:{(83,1),(84,1),(88,1),(134,1),(135,1),(137,1)}
      108:{1,3,6}:{(83,1),(135,1),(213,1)}
      109:{1,2,4}:{(84,1),(86,1),(89,1),(134,1)}
      110:{1,4,6}:{(84,1),(85,1),(90,1),(137,1)}
      111:{1,2,3,6}:{(86,1),(87,1),(91,1),(129,1),(136,1),(138,1),(174,1),(210,1),(213,1)}
      112:{1,3,5}:{(87,1),(92,1),(130,1),(137,1),(175,1),(188,1),(229,1)}
      113:{2,3,5}:{(88,1),(89,1),(94,1),(134,1),(139,1)}
      114:{3,4,6}:{(88,1),(135,1),(139,1),(140,1),(184,1),(213,1)}
      115:{2,3,4,6}:{(89,1),(90,1),(91,1),(95,1),(131,1),(136,1),(139,1),(141,1),(142,1),(146,1),(174,1),(180,1),(183,1),(184,1),(205,1),(208,1),(211,1),(213,1),(224,1)}
      116:{3,5}:{(90,1),(132,1),(137,1)}
      117:{2,3,5}:{(91,1),(92,1),(93,1),(142,1)}
      118:{1,2,4,5}:{(93,1),(97,1),(142,1),(143,1),(145,1),(177,1),(179,1),(182,1),(186,1),(188,1),(212,1)}
      119:{2,4,6}:{(94,1),(139,1),(144,1),(184,1)}
      120:{2,5}:{(95,1),(145,1)}
      121:{4,6}:{(96,1),(142,1),(145,1)}
      122:{2,3,6}:{(97,1),(143,1),(146,1),(213,1)}
      123:{1,4,5}:{(98,1),(101,1),(148,1),(149,1),(150,1)}
      124:{1,3,5,6}:{(98,1),(108,1),(150,1),(160,1),(191,1)}
      125:{3,4}:{(99,1),(101,1),(151,1)}
      126:{3,6}:{(99,1),(100,1)}
      127:{1,2,4}:{(101,1),(149,1),(151,1),(189,1)}
      128:{1,4,6}:{(101,1),(102,1),(104,1),(152,1),(154,1),(162,1),(217,1)}
      129:{1,2,6}:{(103,1),(105,1),(155,1)}
      130:{1,4,5}:{(103,1),(106,1),(112,1),(155,1),(162,1)}
      131:{2,4,6}:{(104,1),(105,1),(157,1),(158,1)}
      132:{4,5}:{(104,1),(116,1),(157,1)}
      133:{2,3,5}:{(105,1),(106,1),(155,1),(157,1),(158,1),(195,1)}
      134:{1,2,5}:{(107,1),(109,1),(113,1),(159,1)}
      135:{1,4,6}:{(107,1),(108,1),(114,1),(159,1),(160,1)}
      136:{1,2,4,6}:{(109,1),(110,1),(111,1),(115,1),(159,1),(161,1),(162,1),(169,1),(198,1),(199,1),(221,1),(228,1)}
      137:{1,5}:{(110,1),(116,1)}
      138:{1,2,3,5}:{(111,1),(112,1),(117,1),(155,1),(161,1),(162,1),(193,1),(195,1),(200,1)}
      139:{2,3,6}:{(113,1),(114,1),(119,1),(159,1)}
      140:{3,5,6}:{(114,1),(116,1),(156,1),(160,1)}
      141:{2,3,5}:{(115,1),(116,1),(120,1),(157,1),(161,1),(164,1),(168,1),(200,1),(216,1),(227,1)}
      142:{4}:{(117,1)}
      143:{2,3,5}:{(118,1),(122,1),(165,1),(168,1),(195,1),(200,1)}
      144:{2,5,6}:{(119,1),(120,1),(167,1),(216,1)}
      145:{4,5}:{(120,1),(121,1),(168,1)}
      146:{3,4,6}:{(121,1),(122,1),(165,1),(168,1),(169,1)}
      147:{1,2,3,6}:{(122,1),(166,1),(169,1),(221,1),(222,1)}
      148:{3,4,5}:{(123,1),(125,1),(170,1),(171,1),(175,1),(208,1),(223,1)}
      149:{1,2,5}:{(123,1),(127,1),(170,1),(172,1)}
      150:{1,4,6}:{(123,1),(124,1),(171,1),(172,1)}
      151:{2,3}:{(125,1),(127,1)}
      152:{3,4,6}:{(125,1),(126,1),(128,1),(174,1),(175,1),(183,1),(208,1),(213,1)}
      153:{1,2,4,6}:{(127,1),(128,1),(129,1),(131,1),(172,1),(174,1),(176,1),(177,1),(205,1),(208,1)}
      154:{1,4,5}:{(128,1),(132,1),(137,1),(175,1),(176,1),(208,1),(223,1),(229,1)}
      155:{1,2,5}:{(129,1),(130,1),(133,1),(177,1)}
      156:{4,5,6}:{(132,1),(140,1),(178,1),(184,1)}
      157:{2,5}:{(131,1),(132,1)}
      158:{2,4}:{(133,1),(142,1),(208,1)}
      159:{1,2,6}:{(134,1),(135,1),(139,1)}
      160:{1,5,6}:{(135,1),(137,1),(140,1)}
      161:{1,2,5}:{(136,1),(137,1),(141,1),(182,1),(188,1),(229,1)}
      162:{1,4}:{(138,1),(142,1),(183,1),(208,1)}
      163:{2,3,5,6}:{(139,1),(140,1),(141,1),(144,1),(178,1),(181,1),(184,1),(187,1),(211,1),(213,1)}
      164:{4,5}:{(141,1),(142,1),(184,1),(208,1)}
      165:{3,4}:{(142,1),(143,1),(186,1)}
      166:{1,2,3,5}:{(143,1),(147,1),(186,1),(188,1),(210,1),(212,1),(214,1)}
      167:{4,5,6}:{(144,1),(145,1),(184,1),(187,1),(223,1)}
      168:{3,5}:{(145,1),(146,1),(188,1)}
      169:{1,4,6}:{(146,1),(147,1),(186,1),(188,1)}
      170:{2,3,5}:{(148,1),(149,1),(151,1),(189,1),(190,1),(216,1)}
      171:{3,4,6}:{(148,1),(150,1),(190,1),(191,1),(217,1)}
      172:{1,2,6}:{(149,1),(150,1),(190,1)}
      173:{1,4,5,6}:{(150,1),(154,1),(156,1),(160,1),(191,1),(192,1),(199,1),(217,1)}
      174:{2,3,6}:{(151,1),(152,1),(153,1),(193,1),(195,1)}
      175:{3,5}:{(152,1),(154,1)}
      176:{1,2,5}:{(153,1),(154,1),(157,1),(193,1),(216,1)}
      177:{1,2,4}:{(155,1),(158,1),(162,1),(195,1)}
      178:{2,5,6}:{(156,1),(157,1),(196,1)}
      179:{2,4,5}:{(157,1),(158,1),(164,1),(196,1),(197,1)}
      180:{2,3,4}:{(158,1),(165,1),(195,1),(197,1),(198,1),(219,1)}
      181:{1,2,5,6}:{(159,1),(160,1),(161,1),(163,1),(199,1),(204,1),(221,1)}
      182:{1,4,5}:{(161,1),(162,1),(164,1),(199,1),(200,1)}
      183:{3,4}:{(162,1),(195,1),(200,1)}
      184:{4,6}:{(163,1),(164,1)}
      185:{3,4,5}:{(164,1),(165,1),(168,1),(197,1),(200,1),(202,1),(203,1),(219,1),(227,1)}
      186:{1,4}:{(165,1),(166,1)}
      187:{3,5,6}:{(167,1),(168,1),(202,1),(204,1),(227,1)}
      188:{1,5}:{(168,1),(169,1)}
      189:{2,4}:{(170,1),(208,1)}
      190:{2,3,6}:{(170,1),(171,1),(172,1),(205,1)}
      191:{3,5,6}:{(171,1),(173,1),(175,1),(213,1)}
      192:{1,2,5,6}:{(172,1),(173,1),(176,1),(178,1),(206,1),(207,1),(229,1)}
      193:{2,3,5}:{(174,1),(175,1),(176,1),(208,1)}
      194:{1,2,4,5}:{(176,1),(177,1),(179,1),(182,1),(207,1),(208,1),(209,1),(212,1),(223,1),(226,1),(229,1)}
      195:{2,3}:{(177,1),(183,1)}
      196:{2,4,6}:{(178,1),(179,1),(184,1),(211,1)}
      197:{2,3,5}:{(179,1),(180,1),(185,1),(211,1),(212,1)}
      198:{1,2,4}:{(180,1),(186,1),(210,1),(212,1),(226,1)}
      199:{1,4,6}:{(181,1),(182,1),(184,1),(213,1)}
      200:{3,5}:{(182,1),(183,1),(213,1)}
      201:{1,3,4}:{(183,1),(186,1),(210,1),(214,1),(226,1)}
      202:{3,4,6}:{(184,1),(185,1),(187,1),(211,1),(213,1),(215,1)}
      203:{1,4,5}:{(185,1),(186,1),(188,1),(212,1),(214,1),(215,1),(226,1),(229,1)}
      204:{1,5,6}:{(187,1),(188,1),(215,1),(229,1)}
      205:{2,4,6}:{(189,1),(190,1),(216,1),(217,1)}
      206:{2,3,5,6}:{(190,1),(191,1),(192,1),(193,1),(216,1),(217,1),(218,1),(227,1)}
      207:{1,2,4,6}:{(192,1),(194,1),(196,1),(199,1),(217,1),(218,1),(221,1),(228,1)}
      208:{4}:{(193,1)}
      209:{2,3,5}:{(194,1),(195,1),(200,1),(218,1),(219,1),(227,1)}
      210:{1,2,3}:{(195,1),(198,1),(201,1)}
      211:{2,3,6}:{(196,1),(197,1),(202,1),(221,1)}
      212:{1,2,5}:{(197,1),(198,1),(203,1),(221,1)}
      213:{3,6}:{(199,1),(200,1)}
      214:{1,3,5}:{(200,1),(201,1),(203,1),(222,1)}
      215:{1,4,6}:{(202,1),(203,1),(204,1),(221,1),(222,1)}
      216:{2,5}:{(205,1),(223,1)}
      217:{4,6}:{(206,1),(208,1),(223,1)}
      218:{2,3,6}:{(207,1),(209,1),(213,1),(224,1)}
      219:{3,4}:{(208,1),(209,1),(226,1)}
      220:{1,2,3,5}:{(209,1),(210,1),(212,1),(214,1),(225,1),(226,1),(229,1)}
      221:{1,2,6}:{(211,1),(212,1),(215,1)}
      222:{1,3,6}:{(213,1),(214,1),(215,1)}
      223:{4,5}:{(216,1),(217,1),(227,1)}
      224:{3,4,6}:{(217,1),(218,1),(219,1),(227,1),(228,1)}
      225:{1,2,3,6}:{(218,1),(220,1),(221,1),(222,1),(228,1)}
      226:{1,4}:{(219,1),(220,1)}
      227:{3,5}:{(223,1),(224,1),(229,1)}
      228:{1,4,6}:{(224,1),(225,1),(226,1),(229,1)}
      229:{1,5}:{(227,1),(228,1)}

366 :  0:{4,5,6}:{(3,1),(4,1),(24,1),(74,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(36,1),(51,1),(59,1),(68,1),(71,1)}
       2:{2,4,5}:{(9,1),(10,1),(36,1)}
       3:{2,5,6}:{(0,1),(9,1),(78,1)}
       4:{3,5,6}:{(0,1),(6,1),(12,1),(68,1)}
       5:{1,3,4}:{(13,1),(14,1),(38,1),(67,1)}
       6:{3,4,6}:{(1,1),(4,1),(16,1),(17,1),(24,1),(48,1)}
       7:{2,3,5}:{(1,1),(16,1),(18,1),(19,1),(43,1),(44,1)}
       8:{1,4,5}:{(1,1),(13,1),(17,1),(18,1),(38,1),(61,1)}
       9:{2,4,6}:{(2,1),(3,1),(20,1),(24,1),(76,1)}
      10:{2,3,5}:{(2,1),(20,1),(21,1),(22,1),(46,1)}
      11:{2,3,5,6}:{(3,1),(4,1),(16,1),(20,1),(23,1),(24,1),(43,1),(46,1),(48,1),(65,1)}
      12:{1,5,6}:{(4,1),(17,1),(61,1)}
      13:{1,3,5}:{(5,1),(8,1),(25,1),(59,1)}
      14:{1,2,3}:{(5,1),(27,1),(73,1)}
      15:{2,3,4}:{(27,1),(28,1),(51,1)}
      16:{2,3,6}:{(6,1),(7,1),(29,1),(30,1)}
      17:{1,4,6}:{(6,1),(8,1),(12,1),(25,1),(29,1)}
      18:{1,2,5}:{(7,1),(8,1),(29,1),(31,1)}
      19:{2,4}:{(7,1),(71,1)}
      20:{2,3,6}:{(9,1),(10,1),(32,1),(33,1),(73,1)}
      21:{1,2,5}:{(10,1),(32,1),(34,1),(58,1)}
      22:{3,4}:{(10,1),(34,1)}
      23:{1,2,5,6}:{(11,1),(12,1),(29,1),(32,1),(35,1),(56,1),(58,1)}
      24:{4,6}:{(11,1),(36,1),(71,1)}
      25:{1,3,6}:{(13,1),(17,1),(48,1)}
      26:{1,2,3,5}:{(13,1),(14,1),(18,1),(37,1),(38,1),(40,1),(44,1),(61,1),(63,1),(65,1)}
      27:{1,2,4}:{(14,1),(15,1),(38,1),(40,1),(76,1)}
      28:{2,3,5}:{(15,1),(39,1),(40,1),(41,1),(63,1)}
      29:{1,2,6}:{(16,1),(17,1),(18,1)}
      30:{2,4,6}:{(16,1),(19,1),(24,1),(43,1)}
      31:{1,2,4}:{(18,1),(19,1),(38,1),(44,1)}
      32:{1,2,6}:{(20,1),(21,1),(45,1),(77,1)}
      33:{3,4,6}:{(20,1),(22,1),(24,1),(45,1),(46,1),(48,1),(67,1)}
      34:{1,4}:{(21,1),(22,1),(47,1)}
      35:{1,4,6}:{(23,1),(24,1),(48,1),(49,1)}
      36:{4,5}:{(24,1),(43,1),(46,1)}
      37:{1,2,3,6}:{(25,1),(26,1),(29,1),(50,1),(54,1),(55,1),(70,1)}
      38:{1,4}:{(26,1),(51,1),(71,1)}
      39:{4,5}:{(28,1),(53,1)}
      40:{1,2,5}:{(27,1),(28,1),(52,1),(54,1),(78,1)}
      41:{2,3,6}:{(28,1),(53,1),(54,1),(70,1)}
      42:{1,2,4,6}:{(29,1),(30,1),(31,1),(35,1),(50,1),(55,1),(56,1),(71,1)}
      43:{2,5}:{(30,1),(36,1)}
      44:{2,3}:{(31,1),(51,1)}
      45:{1,4,6}:{(32,1),(33,1),(34,1),(57,1),(58,1),(72,1)}
      46:{3,5}:{(33,1),(36,1),(58,1)}
      47:{1,3}:{(34,1)}
      48:{3,6}:{(35,1),(59,1)}
      49:{1,4,5}:{(35,1),(36,1),(56,1),(58,1),(59,1),(71,1),(72,1)}
      50:{1,4,6}:{(37,1),(38,1),(60,1),(61,1)}
      51:{3,4}:{(38,1),(44,1),(63,1)}
      52:{1,4,5}:{(38,1),(39,1),(40,1),(61,1),(63,1),(64,1),(74,1)}
      53:{4,6}:{(39,1),(41,1),(62,1)}
      54:{1,2,6}:{(40,1),(41,1),(64,1),(80,1)}
      55:{2,3,6}:{(42,1),(44,1),(48,1),(60,1),(65,1),(80,1)}
      56:{1,2,5}:{(42,1),(43,1),(49,1),(61,1),(65,1),(77,1)}
      57:{1,3,6}:{(45,1),(47,1),(48,1),(66,1)}
      58:{1,5}:{(45,1),(46,1)}
      59:{3,5}:{(48,1),(49,1),(67,1)}
      60:{3,4,6}:{(50,1),(51,1),(55,1),(68,1),(70,1),(71,1),(79,1)}
      61:{1,5}:{(50,1),(68,1)}
      62:{5,6}:{(53,1)}
      63:{3,5}:{(51,1),(52,1),(70,1)}
      64:{1,4,6}:{(52,1),(53,1),(54,1),(69,1),(70,1),(79,1)}
      65:{2,3,5}:{(55,1),(56,1),(59,1),(68,1),(71,1),(73,1),(78,1)}
      66:{1,3,5}:{(57,1),(58,1),(59,1),(72,1)}
      67:{3,4}:{(59,1),(71,1),(72,1),(73,1)}
      68:{3,5}:{(60,1),(61,1),(74,1)}
      69:{1,5,6}:{(61,1),(62,1),(64,1),(75,1)}
      70:{3,6}:{(63,1),(64,1)}
      71:{4}:{(65,1)}
      72:{1,4}:{(66,1),(67,1),(77,1)}
      73:{2,3}:{(67,1),(76,1),(77,1)}
      74:{4,5}:{(68,1),(71,1),(78,1),(79,1)}
      75:{3,5,6}:{(68,1),(69,1),(70,1),(79,1)}
      76:{2,4}:{(71,1),(73,1),(78,1)}
      77:{1,2}:{(72,1),(73,1)}
      78:{2,5}:{(74,1),(76,1),(80,1)}
      79:{4,6}:{(74,1),(75,1),(80,1)}
      80:{2,6}:{(78,1),(79,1)}

367 :  0:{1,3,4}:{(2,1),(3,1),(20,1),(75,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(32,1),(53,1),(56,1),(70,1),(71,1)}
       2:{1,3,5}:{(0,1),(8,1),(9,1),(70,1)}
       3:{1,2,3}:{(0,1),(11,1),(79,1)}
       4:{2,3,4}:{(11,1),(12,1),(32,1)}
       5:{4,5,6}:{(13,1),(14,1),(39,1),(65,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(39,1),(62,1)}
       7:{2,3,5}:{(1,1),(15,1),(17,1),(18,1),(41,1),(42,1)}
       8:{1,4,5}:{(1,1),(2,1),(16,1),(17,1),(20,1),(44,1)}
       9:{1,3,6}:{(2,1),(16,1),(62,1)}
      10:{1,2,3,5}:{(2,1),(3,1),(17,1),(19,1),(20,1),(22,1),(42,1),(44,1),(46,1),(64,1)}
      11:{1,2,4}:{(3,1),(4,1),(20,1),(22,1),(76,1)}
      12:{2,3,5}:{(4,1),(21,1),(22,1),(23,1),(46,1)}
      13:{2,5,6}:{(5,1),(25,1),(72,1)}
      14:{3,5,6}:{(5,1),(6,1),(27,1),(56,1)}
      15:{2,3,6}:{(6,1),(7,1),(28,1),(29,1)}
      16:{1,4,6}:{(6,1),(8,1),(9,1),(27,1),(28,1)}
      17:{1,2,5}:{(7,1),(8,1),(28,1),(30,1)}
      18:{2,4}:{(7,1),(71,1)}
      19:{1,2,3,6}:{(9,1),(10,1),(28,1),(31,1),(35,1),(54,1),(58,1)}
      20:{1,4}:{(10,1),(32,1),(71,1)}
      21:{4,5}:{(12,1),(34,1)}
      22:{1,2,5}:{(11,1),(12,1),(33,1),(35,1),(72,1)}
      23:{2,3,6}:{(12,1),(34,1),(35,1),(58,1)}
      24:{2,4,5}:{(25,1),(36,1),(53,1)}
      25:{2,4,6}:{(13,1),(24,1),(37,1),(39,1),(76,1)}
      26:{2,3,5,6}:{(13,1),(14,1),(15,1),(37,1),(38,1),(39,1),(41,1),(61,1),(62,1),(64,1)}
      27:{1,5,6}:{(14,1),(16,1),(44,1)}
      28:{1,2,6}:{(15,1),(16,1),(17,1)}
      29:{2,4,6}:{(15,1),(18,1),(39,1),(41,1)}
      30:{1,2,4}:{(17,1),(18,1),(20,1),(42,1)}
      31:{1,4,6}:{(19,1),(20,1),(43,1),(44,1)}
      32:{3,4}:{(20,1),(42,1),(46,1)}
      33:{1,4,5}:{(20,1),(21,1),(22,1),(44,1),(46,1),(47,1),(65,1)}
      34:{4,6}:{(21,1),(23,1),(45,1)}
      35:{1,2,6}:{(22,1),(23,1),(47,1),(77,1)}
      36:{2,3,5}:{(24,1),(37,1),(48,1),(49,1),(61,1)}
      37:{2,3,6}:{(25,1),(36,1),(50,1),(51,1),(79,1)}
      38:{1,2,5,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(55,1),(69,1)}
      39:{4,6}:{(26,1),(53,1),(71,1)}
      40:{1,2,4,6}:{(28,1),(29,1),(30,1),(31,1),(52,1),(54,1),(55,1),(71,1)}
      41:{2,5}:{(29,1),(53,1)}
      42:{2,3}:{(30,1),(32,1)}
      43:{3,4,6}:{(31,1),(32,1),(54,1),(56,1),(58,1),(71,1),(73,1)}
      44:{1,5}:{(31,1),(56,1)}
      45:{5,6}:{(34,1)}
      46:{3,5}:{(32,1),(33,1),(58,1)}
      47:{1,4,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(73,1)}
      48:{1,2,5}:{(36,1),(50,1),(59,1),(69,1)}
      49:{3,4}:{(36,1),(59,1)}
      50:{1,2,6}:{(37,1),(48,1),(60,1),(80,1)}
      51:{3,4,6}:{(37,1),(39,1),(49,1),(60,1),(61,1),(62,1),(75,1)}
      52:{1,4,6}:{(38,1),(39,1),(62,1),(63,1)}
      53:{4,5}:{(39,1),(41,1),(61,1)}
      54:{2,3,6}:{(40,1),(42,1),(43,1),(62,1),(64,1),(77,1)}
      55:{1,2,5}:{(40,1),(41,1),(44,1),(63,1),(64,1),(80,1)}
      56:{3,5}:{(43,1),(44,1),(65,1)}
      57:{1,5,6}:{(44,1),(45,1),(47,1),(66,1)}
      58:{3,6}:{(46,1),(47,1)}
      59:{1,4}:{(48,1),(49,1),(67,1)}
      60:{1,4,6}:{(50,1),(51,1),(59,1),(68,1),(69,1),(78,1)}
      61:{3,5}:{(51,1),(53,1),(69,1)}
      62:{3,6}:{(52,1),(70,1)}
      63:{1,4,5}:{(52,1),(53,1),(55,1),(69,1),(70,1),(71,1),(78,1)}
      64:{2,3,5}:{(54,1),(55,1),(56,1),(70,1),(71,1),(72,1),(79,1)}
      65:{4,5}:{(56,1),(71,1),(72,1),(73,1)}
      66:{3,5,6}:{(56,1),(57,1),(58,1),(73,1)}
      67:{1,3}:{(59,1)}
      68:{1,3,6}:{(60,1),(62,1),(67,1),(74,1)}
      69:{1,5}:{(60,1),(61,1)}
      70:{3,5}:{(62,1),(63,1),(75,1)}
      71:{4}:{(64,1)}
      72:{2,5}:{(65,1),(76,1),(77,1)}
      73:{4,6}:{(65,1),(66,1),(77,1)}
      74:{1,3,5}:{(68,1),(69,1),(70,1),(78,1)}
      75:{3,4}:{(70,1),(71,1),(78,1),(79,1)}
      76:{2,4}:{(71,1),(72,1),(79,1)}
      77:{2,6}:{(72,1),(73,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{2,3}:{(75,1),(76,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

368 :  0:{2,3,4}:{(1,1),(2,1),(32,1)}
       1:{1,2,4}:{(0,1),(5,1),(6,1),(22,1),(75,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1),(20,1)}
       3:{1,3,4}:{(5,1),(8,1),(22,1),(76,1)}
       4:{4,5}:{(2,1),(11,1)}
       5:{1,2,3}:{(1,1),(3,1),(78,1)}
       6:{1,2,5}:{(1,1),(2,1),(10,1),(13,1),(70,1)}
       7:{2,3,6}:{(2,1),(11,1),(13,1),(33,1)}
       8:{1,3,5}:{(3,1),(14,1),(15,1),(72,1)}
       9:{3,4,5}:{(14,1),(16,1),(17,1),(32,1),(55,1),(58,1),(71,1),(72,1)}
      10:{1,4,5}:{(4,1),(6,1),(20,1),(21,1),(22,1),(46,1),(63,1)}
      11:{4,6}:{(4,1),(7,1),(19,1)}
      12:{1,2,3,5}:{(5,1),(6,1),(8,1),(20,1),(22,1),(23,1),(24,1),(43,1),(46,1),(64,1)}
      13:{1,2,6}:{(6,1),(7,1),(21,1),(62,1)}
      14:{1,4,5}:{(8,1),(9,1),(22,1),(24,1),(25,1),(46,1)}
      15:{1,3,6}:{(8,1),(25,1),(66,1)}
      16:{2,3,5}:{(9,1),(24,1),(26,1),(27,1),(43,1),(48,1)}
      17:{3,4,6}:{(9,1),(25,1),(27,1),(28,1),(49,1),(66,1)}
      18:{4,5,6}:{(28,1),(29,1),(49,1),(63,1)}
      19:{5,6}:{(11,1)}
      20:{3,5}:{(10,1),(32,1),(33,1)}
      21:{1,4,6}:{(10,1),(11,1),(13,1),(31,1),(33,1),(53,1)}
      22:{1,4}:{(12,1),(32,1),(71,1)}
      23:{1,2,3,6}:{(12,1),(13,1),(15,1),(33,1),(35,1),(36,1),(54,1)}
      24:{1,2,5}:{(14,1),(16,1),(34,1),(36,1)}
      25:{1,4,6}:{(14,1),(15,1),(17,1),(36,1),(37,1)}
      26:{2,4}:{(16,1),(71,1)}
      27:{2,3,6}:{(16,1),(17,1),(36,1),(38,1)}
      28:{3,5,6}:{(17,1),(18,1),(37,1),(55,1)}
      29:{2,5,6}:{(18,1),(40,1),(70,1)}
      30:{2,4,5}:{(40,1),(41,1),(58,1)}
      31:{1,5,6}:{(19,1),(21,1),(42,1),(46,1)}
      32:{3,4}:{(20,1),(22,1),(43,1)}
      33:{3,6}:{(20,1),(21,1)}
      34:{1,2,4}:{(22,1),(24,1),(26,1),(43,1)}
      35:{1,4,6}:{(22,1),(23,1),(44,1),(46,1)}
      36:{1,2,6}:{(24,1),(25,1),(27,1)}
      37:{1,5,6}:{(25,1),(28,1),(46,1)}
      38:{2,4,6}:{(26,1),(27,1),(48,1),(49,1)}
      39:{2,3,5,6}:{(27,1),(28,1),(29,1),(47,1),(48,1),(49,1),(50,1),(64,1),(66,1),(67,1)}
      40:{2,4,6}:{(29,1),(30,1),(49,1),(50,1),(75,1)}
      41:{2,3,5}:{(30,1),(50,1),(51,1),(52,1),(67,1)}
      42:{3,5,6}:{(31,1),(33,1),(53,1),(55,1)}
      43:{2,3}:{(32,1),(34,1)}
      44:{3,4,6}:{(32,1),(33,1),(35,1),(53,1),(54,1),(55,1),(71,1)}
      45:{1,2,4,6}:{(34,1),(35,1),(36,1),(38,1),(54,1),(56,1),(57,1),(71,1)}
      46:{1,5}:{(35,1),(55,1)}
      47:{1,2,5,6}:{(36,1),(37,1),(39,1),(56,1),(57,1),(60,1),(74,1)}
      48:{2,5}:{(38,1),(58,1)}
      49:{4,6}:{(39,1),(58,1),(71,1)}
      50:{2,3,6}:{(40,1),(41,1),(59,1),(60,1),(78,1)}
      51:{3,4}:{(41,1),(61,1)}
      52:{1,2,5}:{(41,1),(60,1),(61,1),(74,1)}
      53:{4,6}:{(42,1),(62,1),(63,1)}
      54:{2,3,6}:{(43,1),(44,1),(45,1),(62,1),(64,1),(66,1)}
      55:{3,5}:{(44,1),(46,1),(63,1)}
      56:{1,2,5}:{(45,1),(46,1),(48,1),(64,1),(65,1),(80,1)}
      57:{1,4,6}:{(47,1),(49,1),(65,1),(66,1)}
      58:{4,5}:{(48,1),(49,1),(67,1)}
      59:{3,4,6}:{(49,1),(50,1),(51,1),(66,1),(67,1),(68,1),(76,1)}
      60:{1,2,6}:{(50,1),(52,1),(68,1),(80,1)}
      61:{1,4}:{(51,1),(52,1),(69,1)}
      62:{2,6}:{(53,1),(70,1)}
      63:{4,5}:{(53,1),(55,1),(70,1),(71,1)}
      64:{2,3,5}:{(54,1),(55,1),(56,1),(70,1),(71,1),(72,1),(78,1)}
      65:{1,4,5}:{(56,1),(57,1),(58,1),(71,1),(72,1),(74,1),(79,1)}
      66:{3,6}:{(57,1),(72,1)}
      67:{3,5}:{(58,1),(59,1),(74,1)}
      68:{1,4,6}:{(59,1),(60,1),(61,1),(73,1),(74,1),(79,1)}
      69:{1,3}:{(61,1)}
      70:{2,5}:{(62,1),(63,1),(75,1)}
      71:{4}:{(64,1)}
      72:{3,5}:{(65,1),(66,1),(76,1)}
      73:{1,3,6}:{(66,1),(68,1),(69,1),(77,1)}
      74:{1,5}:{(67,1),(68,1)}
      75:{2,4}:{(70,1),(71,1),(78,1)}
      76:{3,4}:{(71,1),(72,1),(78,1),(79,1)}
      77:{1,3,5}:{(72,1),(73,1),(74,1),(79,1)}
      78:{2,3}:{(75,1),(76,1),(80,1)}
      79:{1,4}:{(76,1),(77,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

369 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

370 :  0:{2,4,5,6}:{(1,1),(12,1)}
       1:{2,3,5,6}:{(0,1),(2,1),(3,1),(8,1)}
       2:{1,2,5,6}:{(1,1),(5,1),(14,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(9,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,6}:{(5,1),(16,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(44,1)}
      12:{2,4,5}:{(8,1),(20,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(18,1),(21,1),(35,1),(50,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(23,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1),(74,1)}
      18:{1,3,4,6}:{(13,1),(25,1),(28,1),(42,1),(44,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(41,1),(46,1),(56,1)}
      20:{2,4,6}:{(12,1),(15,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(25,1),(26,1),(28,1),(30,1),(41,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1),(69,1)}
      23:{1,3,4}:{(16,1),(28,1),(30,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(78,1)}
      25:{1,3,5}:{(18,1),(32,1),(53,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(53,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1),(50,1),(63,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(33,1),(35,1),(37,1),(38,1),(50,1),(53,1),(54,1),(64,1)}
      30:{1,2,3}:{(23,1),(36,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(39,1),(75,1)}
      32:{1,4,5}:{(25,1),(28,1),(40,1),(41,1),(42,1)}
      33:{1,3,5,6}:{(25,1),(42,1),(58,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(44,1)}
      36:{1,2,4}:{(28,1),(30,1),(41,1),(43,1)}
      37:{1,4,6}:{(28,1),(29,1),(44,1),(46,1),(70,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(45,1),(47,1),(71,1)}
      39:{1,3,4,5}:{(31,1),(46,1),(47,1),(72,1)}
      40:{3,4,5}:{(32,1),(34,1),(48,1),(49,1),(53,1),(66,1)}
      41:{1,2,5}:{(32,1),(36,1),(48,1),(50,1)}
      42:{1,4,6}:{(32,1),(33,1),(49,1),(50,1)}
      43:{2,3,4}:{(34,1),(36,1),(48,1)}
      44:{3,4,6}:{(34,1),(35,1),(37,1),(53,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(55,1)}
      46:{1,4,5}:{(37,1),(53,1),(54,1),(66,1)}
      47:{1,2,3,5}:{(38,1),(39,1),(54,1),(55,1),(67,1)}
      48:{2,3,5}:{(40,1),(41,1),(43,1),(56,1),(57,1)}
      49:{3,4,6}:{(40,1),(42,1),(57,1),(58,1),(70,1)}
      50:{1,2,6}:{(41,1),(42,1),(57,1)}
      51:{1,4,5,6}:{(42,1),(46,1),(58,1),(59,1),(70,1)}
      52:{2,3,4,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(62,1),(70,1),(71,1)}
      53:{3,5}:{(44,1),(46,1)}
      54:{1,2,5}:{(45,1),(46,1),(60,1)}
      55:{1,2,4}:{(47,1),(62,1)}
      56:{2,4,5}:{(48,1),(63,1),(66,1)}
      57:{2,3,6}:{(48,1),(49,1),(50,1),(63,1)}
      58:{3,5,6}:{(49,1),(51,1),(53,1)}
      59:{1,2,5,6}:{(50,1),(51,1),(54,1),(64,1),(65,1),(80,1)}
      60:{2,3,5}:{(52,1),(53,1),(54,1),(66,1)}
      61:{1,2,4,5}:{(54,1),(55,1),(65,1),(66,1),(67,1),(77,1)}
      62:{2,3,4}:{(55,1),(67,1)}
      63:{2,4,6}:{(56,1),(57,1),(69,1),(70,1)}
      64:{2,3,5,6}:{(57,1),(58,1),(59,1),(60,1),(69,1),(70,1),(71,1),(78,1)}
      65:{1,2,4,6}:{(59,1),(61,1),(70,1),(71,1),(79,1)}
      66:{4,5}:{(60,1),(70,1)}
      67:{2,3,5}:{(61,1),(62,1),(71,1),(72,1)}
      68:{1,2,3,4}:{(62,1),(73,1)}
      69:{2,5,6}:{(63,1),(74,1)}
      70:{4,6}:{(64,1),(66,1)}
      71:{2,3,6}:{(65,1),(67,1),(75,1)}
      72:{3,4,5}:{(66,1),(67,1),(75,1),(77,1)}
      73:{1,2,3,5}:{(67,1),(68,1),(76,1),(77,1)}
      74:{4,5,6}:{(69,1),(70,1),(78,1)}
      75:{3,4,6}:{(70,1),(71,1),(72,1),(78,1),(79,1)}
      76:{1,2,3,6}:{(71,1),(73,1),(79,1)}
      77:{1,4,5}:{(72,1),(73,1),(79,1)}
      78:{3,5,6}:{(74,1),(75,1),(80,1)}
      79:{1,4,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{1,5,6}:{(78,1),(79,1)}

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

372 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

373 :  0:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1),(11,1),(12,1),(22,1),(35,1),(48,1),(56,1),(59,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(14,1),(17,1),(20,1),(43,1),(53,1)}
       2:{1,4}:{(0,1),(5,1),(30,1)}
       3:{1,2,4}:{(2,1),(8,1),(9,1),(24,1),(38,1),(48,1)}
       4:{1,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       5:{3,4}:{(2,1),(8,1),(12,1),(24,1),(59,1)}
       6:{1,4,5}:{(2,1),(9,1),(11,1),(12,1),(13,1),(24,1),(26,1),(40,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(14,1),(15,1),(17,1),(29,1),(30,1),(32,1),(46,1),(53,1),(58,1)}
       8:{2,3}:{(3,1),(5,1)}
       9:{1,2,5}:{(3,1),(6,1),(16,1),(17,1),(33,1)}
      10:{3,4,6}:{(4,1),(5,1),(14,1),(18,1),(20,1),(30,1),(32,1),(34,1)}
      11:{1,5}:{(4,1),(18,1)}
      12:{3,5}:{(5,1),(6,1),(20,1)}
      13:{1,4,6}:{(6,1),(17,1),(19,1),(20,1),(32,1),(34,1)}
      14:{2,3,6}:{(7,1),(8,1),(10,1),(22,1),(37,1),(41,1),(59,1)}
      15:{1,2,5}:{(7,1),(11,1),(21,1),(22,1),(40,1),(48,1),(52,1)}
      16:{2,3,5}:{(8,1),(9,1),(12,1),(24,1),(25,1),(40,1)}
      17:{1,2,6}:{(9,1),(13,1),(25,1),(41,1)}
      18:{3,5}:{(10,1),(11,1),(26,1),(40,1)}
      19:{1,5,6}:{(11,1),(13,1),(27,1),(40,1)}
      20:{3,6}:{(12,1),(13,1)}
      21:{1,4,5}:{(15,1),(28,1),(29,1),(30,1),(42,1),(47,1),(54,1),(58,1)}
      22:{2,3,5}:{(14,1),(15,1),(18,1),(28,1),(30,1),(33,1),(44,1)}
      23:{1,2,5,6}:{(15,1),(17,1),(19,1),(29,1),(31,1),(53,1),(54,1)}
      24:{4}:{(16,1)}
      25:{2,3,6}:{(16,1),(17,1),(20,1),(32,1)}
      26:{4,5}:{(18,1),(30,1),(33,1),(34,1)}
      27:{3,5,6}:{(18,1),(19,1),(20,1),(34,1)}
      28:{3,5}:{(21,1),(36,1),(37,1),(59,1)}
      29:{1,4,6}:{(21,1),(23,1),(37,1),(39,1)}
      30:{4}:{(22,1)}
      31:{2,3,5,6}:{(22,1),(23,1),(25,1),(27,1),(37,1),(39,1),(40,1),(41,1),(50,1),(51,1),(52,1)}
      32:{4,6}:{(24,1),(25,1),(40,1)}
      33:{2,5}:{(26,1),(38,1),(41,1)}
      34:{4,6}:{(26,1),(27,1),(41,1)}
      35:{1,3,5}:{(28,1),(42,1),(43,1),(54,1)}
      36:{3,4}:{(28,1),(30,1),(42,1),(44,1)}
      37:{3,6}:{(28,1),(29,1)}
      38:{2,4}:{(30,1),(33,1),(44,1)}
      39:{4,6}:{(30,1),(31,1),(47,1)}
      40:{5}:{(32,1)}
      41:{2,6}:{(33,1),(34,1)}
      42:{1,4}:{(35,1),(36,1),(48,1)}
      43:{1,3,6}:{(35,1),(37,1),(49,1),(59,1)}
      44:{2,3}:{(36,1),(38,1),(48,1)}
      45:{3,4,6}:{(36,1),(37,1),(39,1),(49,1),(50,1),(51,1),(57,1),(59,1)}
      46:{2,4,6}:{(38,1),(39,1),(41,1),(50,1),(52,1),(57,1)}
      47:{4,5}:{(39,1),(40,1),(51,1),(52,1),(57,1)}
      48:{1,2}:{(42,1),(44,1)}
      49:{1,4,6}:{(42,1),(43,1),(45,1),(53,1),(54,1),(58,1)}
      50:{2,3,6}:{(44,1),(45,1),(46,1),(53,1),(55,1)}
      51:{3,5}:{(45,1),(47,1),(54,1)}
      52:{2,5}:{(46,1),(47,1)}
      53:{1,2,6}:{(48,1),(49,1),(50,1),(56,1)}
      54:{1,5}:{(49,1),(51,1)}
      55:{2,3,5}:{(50,1),(51,1),(52,1),(56,1),(57,1),(59,1)}
      56:{1,2,5}:{(53,1),(54,1),(55,1),(58,1)}
      57:{4}:{(55,1)}
      58:{1,4}:{(56,1),(57,1),(59,1)}
      59:{3}:{(58,1)}

374 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

375 :  0:{3,4,5,6}:{(2,1),(3,1),(29,1),(33,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(34,1),(39,1)}
       2:{2,3,5,6}:{(0,1),(7,1),(8,1),(19,1),(21,1)}
       3:{1,4,5,6}:{(0,1),(6,1),(7,1),(20,1),(42,1),(73,1)}
       4:{1,3,4,6}:{(1,1),(6,1),(9,1),(20,1),(53,1),(67,1)}
       5:{1,2,3,5}:{(1,1),(9,1),(10,1),(25,1),(27,1)}
       6:{1,3,5,6}:{(3,1),(4,1),(55,1),(64,1)}
       7:{1,2,5,6}:{(2,1),(3,1),(13,1),(31,1),(79,1)}
       8:{2,4,6}:{(2,1),(14,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(15,1),(40,1),(77,1)}
      10:{1,2,4}:{(5,1),(16,1)}
      11:{2,3,4,6}:{(8,1),(18,1),(19,1),(21,1),(43,1),(48,1)}
      12:{1,2,3,5,6}:{(6,1),(7,1),(9,1),(20,1),(21,1),(25,1),(44,1),(46,1),(50,1),(66,1),(80,1)}
      13:{1,2,4,6}:{(7,1),(8,1),(20,1),(21,1),(22,1),(72,1),(80,1)}
      14:{2,4,5}:{(8,1),(19,1)}
      15:{1,2,4,6}:{(9,1),(10,1),(20,1),(24,1),(25,1),(69,1),(80,1)}
      16:{2,3,4}:{(10,1),(27,1)}
      17:{1,2,4,5}:{(10,1),(25,1),(27,1),(28,1),(49,1),(51,1)}
      18:{1,2,4,6}:{(11,1),(30,1),(31,1),(56,1),(57,1)}
      19:{2,3,5}:{(11,1),(14,1),(29,1),(31,1)}
      20:{1,4,6}:{(12,1),(33,1),(34,1),(57,1),(62,1)}
      21:{2,3,6}:{(13,1),(33,1),(35,1)}
      22:{1,2,4,5}:{(13,1),(14,1),(31,1),(34,1),(35,1),(57,1),(61,1),(75,1)}
      23:{2,4,5,6}:{(14,1),(32,1)}
      24:{2,3,4,6}:{(15,1),(16,1),(33,1),(36,1),(40,1),(60,1),(62,1),(78,1)}
      25:{1,2,5}:{(15,1),(34,1),(36,1)}
      26:{1,2,3,4}:{(16,1),(38,1)}
      27:{2,3,5}:{(16,1),(17,1),(39,1),(40,1)}
      28:{1,2,4,6}:{(17,1),(37,1),(40,1),(62,1),(63,1)}
      29:{3,4,5}:{(19,1),(42,1),(43,1),(48,1)}
      30:{1,2,3,6}:{(18,1),(21,1),(41,1),(44,1),(68,1),(80,1)}
      31:{1,2,5}:{(18,1),(19,1),(42,1)}
      32:{2,3,5,6}:{(19,1),(23,1),(43,1),(45,1)}
      33:{3,4,6}:{(20,1),(21,1),(46,1),(48,1)}
      34:{1,4,5}:{(20,1),(25,1),(46,1),(49,1)}
      35:{2,3,5}:{(21,1),(22,1),(46,1),(48,1)}
      36:{2,3,5}:{(24,1),(25,1),(46,1),(49,1)}
      37:{1,2,5,6}:{(25,1),(28,1),(47,1),(50,1),(74,1),(80,1)}
      38:{1,2,3,5}:{(26,1),(27,1),(51,1),(52,1)}
      39:{3,4,5}:{(27,1),(49,1),(51,1),(53,1)}
      40:{2,3,6}:{(27,1),(28,1),(53,1)}
      41:{1,3,4,6}:{(30,1),(33,1),(54,1),(57,1),(76,1)}
      42:{1,4,5}:{(29,1),(31,1),(55,1),(56,1),(57,1)}
      43:{3,4,6}:{(29,1),(32,1),(56,1)}
      44:{1,2,3,5}:{(30,1),(31,1),(35,1),(54,1),(55,1),(57,1),(75,1),(77,1)}
      45:{1,2,5,6}:{(31,1),(32,1),(56,1)}
      46:{3,5}:{(33,1),(34,1)}
      47:{1,4,5,6}:{(34,1),(37,1),(59,1),(62,1),(76,1)}
      48:{3,4}:{(35,1),(57,1)}
      49:{4,5}:{(36,1),(62,1)}
      50:{2,3,5,6}:{(36,1),(37,1),(40,1),(59,1),(62,1),(64,1),(78,1),(79,1)}
      51:{1,4,5}:{(38,1),(39,1),(63,1)}
      52:{1,2,3,6}:{(38,1),(40,1),(63,1)}
      53:{3,4,6}:{(39,1),(40,1),(62,1),(63,1),(64,1)}
      54:{1,3,5}:{(41,1),(46,1),(65,1)}
      55:{1,3,5}:{(42,1),(67,1),(68,1)}
      56:{1,4,6}:{(42,1),(43,1),(45,1),(68,1)}
      57:{1,4}:{(44,1),(48,1)}
      58:{3,4,5}:{(46,1),(48,1),(49,1),(65,1),(70,1),(71,1)}
      59:{3,5,6}:{(46,1),(47,1),(71,1)}
      60:{2,3,4}:{(48,1),(69,1),(70,1)}
      61:{2,4,5}:{(49,1),(70,1),(72,1)}
      62:{4,6}:{(49,1),(50,1)}
      63:{1,4,6}:{(51,1),(52,1),(53,1),(74,1)}
      64:{3,5,6}:{(53,1),(73,1),(74,1)}
      65:{1,4,5}:{(54,1),(57,1),(58,1),(75,1),(76,1)}
      66:{1,3,5,6}:{(54,1),(59,1),(76,1)}
      67:{1,3,4}:{(55,1),(57,1),(77,1)}
      68:{1,3,6}:{(55,1),(56,1)}
      69:{1,2,4}:{(57,1),(60,1),(75,1),(77,1)}
      70:{2,3,5}:{(58,1),(60,1),(61,1),(75,1),(78,1)}
      71:{3,4,6}:{(58,1),(59,1),(62,1),(76,1),(78,1)}
      72:{2,4,6}:{(61,1),(62,1),(78,1),(79,1)}
      73:{4,5,6}:{(62,1),(64,1),(79,1)}
      74:{1,5,6}:{(63,1),(64,1)}
      75:{1,2,5}:{(65,1),(69,1),(70,1),(80,1)}
      76:{1,4,6}:{(65,1),(66,1),(71,1),(80,1)}
      77:{1,2,3}:{(67,1),(69,1)}
      78:{2,3,6}:{(70,1),(71,1),(72,1),(80,1)}
      79:{2,5,6}:{(72,1),(73,1)}
      80:{1,2,6}:{(75,1),(76,1),(78,1)}

376 :  0:{1,2,3,4,6}:{(1,1),(6,1),(14,1),(15,1),(27,1),(43,1),(54,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(8,1),(34,1),(50,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(15,1),(16,1),(17,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(36,1),(50,1),(57,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(19,1),(34,1),(36,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(42,1),(56,1),(59,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,4,5,6}:{(6,1),(16,1),(17,1),(30,1),(42,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(19,1),(20,1),(34,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(20,1),(21,1),(35,1)}
      14:{2,3,4}:{(8,1),(19,1),(57,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(50,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(34,1)}
      18:{3,4,5,6}:{(16,1),(25,1),(26,1),(30,1),(43,1),(44,1)}
      19:{1,2,4}:{(12,1),(14,1),(59,1)}
      20:{1,2,3,6}:{(12,1),(13,1),(15,1),(27,1)}
      21:{1,3,5,6}:{(13,1),(16,1),(25,1),(56,1)}
      22:{2,3,4,6}:{(14,1),(15,1),(27,1),(29,1),(30,1),(43,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(29,1),(30,1)}
      24:{1,2,4,5,6}:{(17,1),(30,1),(31,1),(39,1),(40,1),(42,1),(45,1),(55,1)}
      25:{1,4,5,6}:{(18,1),(21,1),(32,1),(35,1),(52,1)}
      26:{2,3,5,6}:{(18,1),(32,1),(33,1),(47,1),(48,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(34,1),(35,1)}
      28:{1,2,3,5,6}:{(20,1),(21,1),(23,1),(32,1),(34,1),(35,1),(47,1),(50,1),(58,1)}
      29:{2,3,5}:{(22,1),(34,1),(36,1),(50,1)}
      30:{4,6}:{(23,1),(36,1)}
      31:{2,3,5,6}:{(24,1),(37,1),(47,1),(48,1),(50,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(39,1),(55,1)}
      33:{2,4,6}:{(26,1),(30,1),(40,1)}
      34:{1,2,5}:{(27,1),(29,1),(42,1)}
      35:{1,4,6}:{(28,1),(30,1),(42,1),(43,1),(59,1)}
      36:{4,5}:{(29,1),(30,1)}
      37:{3,4,6}:{(30,1),(31,1),(44,1),(45,1)}
      38:{1,2,3,5,6}:{(31,1),(45,1),(54,1),(55,1),(56,1)}
      39:{1,2,4,6}:{(32,1),(33,1),(35,1),(46,1),(47,1)}
      40:{2,4,5}:{(33,1),(36,1),(48,1)}
      41:{2,3,4,6}:{(33,1),(37,1),(47,1),(48,1),(49,1),(57,1)}
      42:{1,4,5}:{(34,1),(35,1),(36,1),(50,1)}
      43:{3,4,6}:{(35,1),(47,1),(50,1),(57,1)}
      44:{3,4,5}:{(36,1),(37,1),(48,1),(50,1),(52,1),(57,1)}
      45:{1,4,6}:{(37,1),(38,1),(52,1)}
      46:{1,2,4,5}:{(39,1),(40,1),(42,1),(53,1),(55,1),(59,1)}
      47:{2,3,6}:{(39,1),(43,1),(53,1)}
      48:{2,3,5}:{(40,1),(41,1),(44,1),(55,1)}
      49:{1,2,4,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{3,5}:{(42,1),(43,1)}
      51:{1,3,4,6}:{(43,1),(45,1),(54,1),(56,1),(59,1)}
      52:{1,4,5}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      53:{2,3,5}:{(46,1),(47,1),(50,1),(57,1)}
      54:{1,2,3,6}:{(47,1),(49,1),(51,1),(58,1)}
      55:{1,2,5}:{(48,1),(49,1),(52,1)}
      56:{1,3,5}:{(50,1),(51,1),(52,1)}
      57:{3,4}:{(53,1),(59,1)}
      58:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

377 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(3,1),(4,1),(16,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
       3:{1,2,3,5}:{(1,1),(6,1),(7,1),(13,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(7,1),(8,1),(14,1)}
       5:{2,3,5,6}:{(2,1),(8,1),(9,1),(15,1)}
       6:{1,3,4}:{(3,1)}
       7:{1,2,3,6}:{(3,1),(4,1),(10,1)}
       8:{1,2,5,6}:{(4,1),(5,1),(12,1)}
       9:{4,5,6}:{(5,1)}
      10:{1,3,4,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(8,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,4,5,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{1,3,5}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{3,5,6}:{(12,1),(18,1)}
      16:{1,4,5}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{3,4,6}:{(14,1),(15,1),(20,1),(21,1)}
      19:{1,2,5}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{2,3,6}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

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

379 :  0:{1,2,3,4}:{(2,1),(13,1)}
       1:{1,3,4,5}:{(3,1),(4,1),(10,1),(30,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(17,1)}
       3:{1,2,3,5}:{(1,1),(7,1),(8,1),(17,1),(22,1)}
       4:{1,3,4,6}:{(1,1),(8,1),(9,1),(18,1),(23,1),(73,1)}
       5:{1,4,5}:{(2,1),(10,1),(12,1)}
       6:{1,2,3,6}:{(2,1),(12,1),(26,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{1,2,3,6}:{(3,1),(4,1),(14,1),(26,1),(77,1)}
       9:{1,3,5,6}:{(4,1),(16,1),(27,1),(78,1)}
      10:{3,4,5}:{(5,1),(17,1),(18,1),(37,1)}
      11:{1,2,4,5}:{(5,1),(7,1),(17,1),(19,1),(22,1),(37,1)}
      12:{1,4,6}:{(5,1),(6,1),(18,1),(20,1)}
      13:{2,3,4}:{(7,1),(17,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(21,1),(22,1),(23,1),(71,1),(72,1)}
      15:{1,2,3,5,6}:{(8,1),(9,1),(22,1),(23,1),(24,1),(34,1),(39,1),(40,1),(55,1),(58,1),(71,1)}
      16:{1,4,5,6}:{(9,1),(23,1),(24,1),(25,1),(35,1),(74,1)}
      17:{2,3,5}:{(10,1),(11,1),(13,1),(26,1)}
      18:{3,4,6}:{(10,1),(12,1),(26,1),(27,1),(43,1)}
      19:{1,2,4,6}:{(11,1),(12,1),(26,1),(28,1),(43,1)}
      20:{1,5,6}:{(12,1),(27,1)}
      21:{2,3,4,6}:{(13,1),(14,1),(26,1),(29,1),(32,1),(43,1),(63,1),(66,1)}
      22:{1,2,5}:{(14,1),(29,1),(30,1)}
      23:{1,4,6}:{(15,1),(30,1),(32,1),(43,1),(67,1)}
      24:{1,2,5,6}:{(16,1),(31,1),(33,1),(44,1),(69,1)}
      25:{3,4,5,6}:{(16,1),(32,1),(33,1),(68,1)}
      26:{2,3,6}:{(17,1),(18,1),(19,1)}
      27:{3,5,6}:{(18,1),(20,1),(35,1)}
      28:{1,2,5,6}:{(19,1),(20,1),(22,1),(34,1),(36,1),(71,1)}
      29:{2,3,5}:{(21,1),(22,1),(37,1),(39,1)}
      30:{1,4,5}:{(22,1),(23,1),(37,1),(39,1)}
      31:{1,2,4,6}:{(23,1),(24,1),(38,1),(40,1),(42,1),(53,1),(71,1)}
      32:{3,4,6}:{(23,1),(39,1),(40,1),(59,1)}
      33:{2,3,5,6}:{(24,1),(25,1),(40,1),(42,1),(61,1)}
      34:{2,3,5,6}:{(26,1),(27,1),(28,1),(29,1),(43,1),(44,1),(45,1),(63,1)}
      35:{4,5,6}:{(27,1),(43,1),(44,1)}
      36:{1,4,5,6}:{(28,1),(30,1),(43,1),(45,1),(64,1)}
      37:{4,5}:{(29,1),(43,1)}
      38:{1,2,4,5}:{(30,1),(31,1),(46,1),(48,1),(52,1),(65,1),(67,1),(69,1)}
      39:{3,5}:{(30,1),(32,1)}
      40:{2,3,6}:{(31,1),(32,1),(48,1)}
      41:{1,3,4,6}:{(32,1),(49,1),(50,1),(64,1),(67,1)}
      42:{2,4,6}:{(33,1),(52,1)}
      43:{4,6}:{(34,1),(37,1)}
      44:{2,5,6}:{(35,1),(53,1)}
      45:{3,5,6}:{(36,1),(39,1),(54,1)}
      46:{2,4,5}:{(37,1),(53,1),(56,1)}
      47:{3,4,5}:{(37,1),(39,1),(54,1),(56,1),(57,1),(59,1)}
      48:{2,3,5}:{(38,1),(39,1),(40,1),(59,1)}
      49:{1,3,5}:{(39,1),(41,1),(57,1)}
      50:{1,2,3,6}:{(40,1),(41,1),(58,1),(60,1),(71,1),(80,1)}
      51:{2,3,4,6}:{(40,1),(42,1),(59,1),(60,1),(61,1),(75,1)}
      52:{2,4,5}:{(42,1),(61,1)}
      53:{2,4,6}:{(43,1),(44,1),(46,1),(63,1)}
      54:{3,4,6}:{(43,1),(45,1),(47,1),(63,1),(64,1)}
      55:{1,3,5,6}:{(45,1),(49,1),(64,1)}
      56:{2,3,5}:{(46,1),(47,1),(63,1),(65,1),(66,1)}
      57:{1,4,5}:{(47,1),(49,1),(64,1),(65,1),(67,1)}
      58:{1,2,3,5}:{(48,1),(49,1),(50,1),(65,1),(67,1),(69,1),(77,1),(78,1)}
      59:{3,4}:{(48,1),(67,1)}
      60:{1,2,4,6}:{(50,1),(51,1),(67,1),(69,1),(79,1)}
      61:{2,3,5}:{(51,1),(52,1),(68,1),(69,1)}
      62:{2,4,5,6}:{(52,1),(70,1)}
      63:{2,3,6}:{(53,1),(54,1),(56,1),(71,1)}
      64:{1,4,6}:{(54,1),(55,1),(57,1),(71,1)}
      65:{1,2,5}:{(56,1),(57,1),(71,1),(72,1)}
      66:{2,3,4}:{(56,1),(59,1),(72,1)}
      67:{1,4}:{(58,1),(59,1)}
      68:{3,4,5}:{(59,1),(61,1),(74,1),(75,1)}
      69:{1,2,5}:{(60,1),(61,1),(74,1)}
      70:{2,3,5,6}:{(61,1),(62,1),(75,1),(76,1)}
      71:{1,2,6}:{(63,1),(64,1),(65,1)}
      72:{1,2,4}:{(65,1),(66,1),(67,1),(77,1)}
      73:{1,3,4}:{(67,1),(77,1),(78,1)}
      74:{1,4,5}:{(67,1),(68,1),(69,1),(78,1),(79,1)}
      75:{3,4,6}:{(68,1),(70,1),(79,1)}
      76:{1,2,5,6}:{(69,1),(70,1),(79,1)}
      77:{1,2,3}:{(72,1),(73,1)}
      78:{1,3,5}:{(73,1),(74,1),(80,1)}
      79:{1,4,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

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

381 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

382 :  0:{2,4,5,6}:{(1,1),(12,1)}
       1:{2,3,5,6}:{(0,1),(2,1),(3,1),(8,1)}
       2:{1,2,5,6}:{(1,1),(5,1),(14,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(9,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,6}:{(5,1),(16,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(44,1)}
      12:{2,4,5}:{(8,1),(20,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(18,1),(21,1),(35,1),(50,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(23,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1),(74,1)}
      18:{1,3,4,6}:{(13,1),(25,1),(28,1),(42,1),(44,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(41,1),(46,1),(56,1)}
      20:{2,4,6}:{(12,1),(15,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(25,1),(26,1),(28,1),(30,1),(41,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1),(69,1)}
      23:{1,3,4}:{(16,1),(28,1),(30,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(78,1)}
      25:{1,3,5}:{(18,1),(32,1),(53,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(53,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1),(50,1),(63,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(33,1),(35,1),(37,1),(38,1),(50,1),(53,1),(54,1),(64,1)}
      30:{1,2,3}:{(23,1),(36,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(39,1),(75,1)}
      32:{1,4,5}:{(25,1),(28,1),(40,1),(41,1),(42,1)}
      33:{1,3,5,6}:{(25,1),(42,1),(58,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(44,1)}
      36:{1,2,4}:{(28,1),(30,1),(41,1),(43,1)}
      37:{1,4,6}:{(28,1),(29,1),(44,1),(46,1),(70,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(45,1),(47,1),(71,1)}
      39:{1,3,4,5}:{(31,1),(46,1),(47,1),(72,1)}
      40:{3,4,5}:{(32,1),(34,1),(48,1),(49,1),(53,1),(66,1)}
      41:{1,2,5}:{(32,1),(36,1),(48,1),(50,1)}
      42:{1,4,6}:{(32,1),(33,1),(49,1),(50,1)}
      43:{2,3,4}:{(34,1),(36,1),(48,1)}
      44:{3,4,6}:{(34,1),(35,1),(37,1),(53,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(55,1)}
      46:{1,4,5}:{(37,1),(53,1),(54,1),(66,1)}
      47:{1,2,3,5}:{(38,1),(39,1),(54,1),(55,1),(67,1)}
      48:{2,3,5}:{(40,1),(41,1),(43,1),(56,1),(57,1)}
      49:{3,4,6}:{(40,1),(42,1),(57,1),(58,1),(70,1)}
      50:{1,2,6}:{(41,1),(42,1),(57,1)}
      51:{1,4,5,6}:{(42,1),(46,1),(58,1),(59,1),(70,1)}
      52:{2,3,4,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(62,1),(70,1),(71,1)}
      53:{3,5}:{(44,1),(46,1)}
      54:{1,2,5}:{(45,1),(46,1),(60,1)}
      55:{1,2,4}:{(47,1),(62,1)}
      56:{2,4,5}:{(48,1),(63,1),(66,1)}
      57:{2,3,6}:{(48,1),(49,1),(50,1),(63,1)}
      58:{3,5,6}:{(49,1),(51,1),(53,1)}
      59:{1,2,5,6}:{(50,1),(51,1),(54,1),(64,1),(65,1),(80,1)}
      60:{2,3,5}:{(52,1),(53,1),(54,1),(66,1)}
      61:{1,2,4,5}:{(54,1),(55,1),(65,1),(66,1),(67,1),(77,1)}
      62:{2,3,4}:{(55,1),(67,1)}
      63:{2,4,6}:{(56,1),(57,1),(69,1),(70,1)}
      64:{2,3,5,6}:{(57,1),(58,1),(59,1),(60,1),(69,1),(70,1),(71,1),(78,1)}
      65:{1,2,4,6}:{(59,1),(61,1),(70,1),(71,1),(79,1)}
      66:{4,5}:{(60,1),(70,1)}
      67:{2,3,5}:{(61,1),(62,1),(71,1),(72,1)}
      68:{1,2,3,4}:{(62,1),(73,1)}
      69:{2,5,6}:{(63,1),(74,1)}
      70:{4,6}:{(64,1),(66,1)}
      71:{2,3,6}:{(65,1),(67,1),(75,1)}
      72:{3,4,5}:{(66,1),(67,1),(75,1),(77,1)}
      73:{1,2,3,5}:{(67,1),(68,1),(76,1),(77,1)}
      74:{4,5,6}:{(69,1),(70,1),(78,1)}
      75:{3,4,6}:{(70,1),(71,1),(72,1),(78,1),(79,1)}
      76:{1,2,3,6}:{(71,1),(73,1),(79,1)}
      77:{1,4,5}:{(72,1),(73,1),(79,1)}
      78:{3,5,6}:{(74,1),(75,1),(80,1)}
      79:{1,4,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{1,5,6}:{(78,1),(79,1)}

383 :  0:{1,2,3,4,6}:{(1,1),(4,1),(14,1),(17,1),(30,1),(44,1),(53,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(10,1),(38,1),(52,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(12,1),(13,1),(14,1)}
       3:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       4:{1,4,6}:{(2,1),(3,1),(9,1)}
       5:{1,2,4,5}:{(3,1),(8,1),(10,1),(24,1),(37,1),(38,1)}
       6:{3,4,5}:{(3,1),(9,1),(10,1),(37,1),(52,1),(58,1)}
       7:{1,4,5,6}:{(4,1),(12,1),(13,1),(29,1),(45,1)}
       8:{1,2,4,6}:{(4,1),(5,1),(12,1),(14,1),(29,1)}
       9:{3,4,6}:{(4,1),(6,1),(13,1),(14,1),(29,1)}
      10:{2,3,5}:{(5,1),(6,1),(14,1),(17,1)}
      11:{1,3,4,5}:{(6,1),(15,1),(16,1),(45,1),(56,1),(59,1)}
      12:{1,2,5,6}:{(7,1),(8,1),(20,1),(38,1)}
      13:{3,5,6}:{(7,1),(9,1),(52,1)}
      14:{2,3,6}:{(8,1),(9,1),(10,1)}
      15:{1,3,4,6}:{(9,1),(11,1),(21,1),(22,1),(36,1)}
      16:{1,2,3,5}:{(10,1),(11,1),(22,1),(24,1),(38,1)}
      17:{2,3,4}:{(10,1),(24,1),(58,1)}
      18:{3,4,5,6}:{(13,1),(25,1),(26,1),(29,1),(43,1),(44,1)}
      19:{1,2,4,5,6}:{(12,1),(27,1),(29,1),(40,1),(41,1),(42,1),(45,1),(54,1)}
      20:{2,3,5,6}:{(12,1),(13,1),(14,1),(29,1),(31,1)}
      21:{1,3,5,6}:{(13,1),(15,1),(26,1),(56,1)}
      22:{1,2,3,6}:{(14,1),(15,1),(16,1),(30,1)}
      23:{2,3,4,6}:{(14,1),(17,1),(29,1),(30,1),(31,1),(44,1)}
      24:{1,2,4}:{(16,1),(17,1),(59,1)}
      25:{2,3,5,6}:{(18,1),(32,1),(33,1),(47,1),(48,1)}
      26:{1,4,5,6}:{(18,1),(21,1),(32,1),(36,1),(51,1)}
      27:{2,3,5,6}:{(19,1),(35,1),(47,1),(48,1),(52,1)}
      28:{1,2,3,5,6}:{(20,1),(21,1),(22,1),(32,1),(36,1),(38,1),(48,1),(52,1),(57,1)}
      29:{4,6}:{(20,1),(37,1)}
      30:{1,2,4,6}:{(22,1),(23,1),(24,1),(36,1),(38,1)}
      31:{2,3,5}:{(23,1),(37,1),(38,1),(52,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(40,1),(54,1)}
      33:{2,4,6}:{(25,1),(29,1),(41,1)}
      34:{1,2,3,5,6}:{(27,1),(42,1),(53,1),(54,1),(56,1)}
      35:{3,4,6}:{(27,1),(29,1),(42,1),(43,1)}
      36:{1,4,6}:{(28,1),(29,1),(44,1),(45,1),(59,1)}
      37:{4,5}:{(29,1),(31,1)}
      38:{1,2,5}:{(30,1),(31,1),(45,1)}
      39:{2,3,4,6}:{(33,1),(35,1),(46,1),(47,1),(48,1),(58,1)}
      40:{1,2,4,6}:{(32,1),(33,1),(36,1),(48,1),(49,1)}
      41:{2,4,5}:{(33,1),(37,1),(47,1)}
      42:{1,4,6}:{(34,1),(35,1),(51,1)}
      43:{3,4,5}:{(35,1),(37,1),(47,1),(51,1),(52,1),(58,1)}
      44:{3,4,6}:{(36,1),(48,1),(52,1),(58,1)}
      45:{1,4,5}:{(36,1),(37,1),(38,1),(52,1)}
      46:{1,2,4,6}:{(39,1),(42,1),(53,1),(54,1),(59,1)}
      47:{2,3,5}:{(39,1),(41,1),(43,1),(54,1)}
      48:{2,3,6}:{(40,1),(44,1),(55,1)}
      49:{1,2,4,5}:{(40,1),(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{1,3,4,6}:{(42,1),(44,1),(53,1),(56,1),(59,1)}
      51:{1,4,5}:{(42,1),(43,1),(54,1),(56,1),(59,1)}
      52:{3,5}:{(44,1),(45,1)}
      53:{1,2,3,6}:{(46,1),(48,1),(50,1),(57,1)}
      54:{1,2,5}:{(46,1),(47,1),(51,1)}
      55:{2,3,5}:{(48,1),(49,1),(52,1),(58,1)}
      56:{1,3,5}:{(50,1),(51,1),(52,1)}
      57:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{3,4}:{(55,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

384 :  0:{1,2,3,4}:{(1,1),(14,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1),(8,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1)}
       3:{1,2,3,6}:{(1,1),(6,1),(15,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(36,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(18,1),(32,1),(36,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(11,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(40,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,5,6}:{(6,1),(16,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(18,1),(19,1),(32,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(19,1),(20,1),(35,1),(74,1)}
      14:{2,3,4}:{(8,1),(18,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(22,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(24,1),(32,1),(55,1)}
      18:{1,2,4}:{(12,1),(14,1)}
      19:{1,2,3,6}:{(12,1),(13,1),(15,1),(25,1),(73,1)}
      20:{1,3,5,6}:{(13,1),(16,1),(26,1),(78,1)}
      21:{2,3,4,6}:{(14,1),(15,1),(25,1),(28,1),(30,1),(43,1),(46,1),(61,1)}
      22:{4,5,6}:{(16,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(28,1),(29,1),(30,1),(31,1),(46,1)}
      24:{1,4,5,6}:{(17,1),(30,1),(31,1),(40,1),(47,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(32,1),(35,1),(55,1),(68,1)}
      26:{1,4,5,6}:{(20,1),(22,1),(33,1),(34,1),(35,1),(76,1)}
      27:{1,2,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1),(39,1),(49,1),(51,1),(55,1),(64,1)}
      28:{2,3,5}:{(21,1),(32,1),(36,1),(49,1)}
      29:{2,5,6}:{(22,1),(37,1)}
      30:{4,6}:{(23,1),(36,1)}
      31:{3,5,6}:{(24,1),(38,1),(49,1)}
      32:{1,2,5}:{(25,1),(28,1),(40,1)}
      33:{3,4,5,6}:{(26,1),(41,1),(43,1),(69,1)}
      34:{1,2,5,6}:{(26,1),(29,1),(41,1),(42,1),(72,1)}
      35:{1,4,6}:{(27,1),(30,1),(40,1),(43,1),(70,1)}
      36:{4,5}:{(28,1),(30,1)}
      37:{2,4,6}:{(29,1),(30,1),(44,1),(46,1)}
      38:{3,4,6}:{(30,1),(31,1),(45,1),(46,1),(47,1)}
      39:{1,3,5,6}:{(31,1),(47,1),(57,1)}
      40:{1,4,5}:{(32,1),(35,1),(36,1),(49,1)}
      41:{2,3,5,6}:{(33,1),(34,1),(50,1),(51,1),(66,1)}
      42:{1,2,4,6}:{(34,1),(35,1),(37,1),(48,1),(50,1),(51,1),(55,1)}
      43:{3,4,6}:{(35,1),(49,1),(51,1),(63,1)}
      44:{2,4,5}:{(36,1),(37,1),(53,1)}
      45:{3,4,5}:{(36,1),(38,1),(49,1),(53,1),(54,1),(63,1)}
      46:{2,3,6}:{(37,1),(38,1),(53,1),(55,1)}
      47:{1,4,6}:{(38,1),(39,1),(54,1),(55,1)}
      48:{1,2,4,5}:{(40,1),(42,1),(44,1),(56,1),(58,1),(62,1),(70,1),(72,1)}
      49:{3,5}:{(40,1),(43,1)}
      50:{2,4,6}:{(41,1),(58,1)}
      51:{2,3,6}:{(42,1),(43,1),(56,1)}
      52:{1,3,4,6}:{(43,1),(47,1),(57,1),(60,1),(70,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(61,1),(62,1)}
      54:{1,4,5}:{(45,1),(47,1),(57,1),(62,1),(70,1)}
      55:{1,2,6}:{(46,1),(47,1),(62,1)}
      56:{2,3,5}:{(48,1),(49,1),(51,1),(63,1)}
      57:{1,3,5}:{(49,1),(52,1),(54,1)}
      58:{2,4,5}:{(50,1),(66,1)}
      59:{2,3,4,6}:{(50,1),(51,1),(63,1),(66,1),(67,1),(75,1)}
      60:{1,2,3,6}:{(51,1),(52,1),(55,1),(64,1),(67,1),(80,1)}
      61:{2,3,4}:{(53,1),(63,1),(68,1)}
      62:{1,2,5}:{(53,1),(54,1),(55,1),(68,1)}
      63:{3,4}:{(56,1),(70,1)}
      64:{1,2,3,5}:{(56,1),(57,1),(60,1),(62,1),(70,1),(72,1),(73,1),(78,1)}
      65:{2,4,5,6}:{(58,1),(71,1)}
      66:{2,3,5}:{(58,1),(59,1),(69,1),(72,1)}
      67:{1,2,4,6}:{(59,1),(60,1),(70,1),(72,1),(79,1)}
      68:{1,2,4}:{(61,1),(62,1),(70,1),(73,1)}
      69:{3,4,5}:{(63,1),(66,1),(75,1),(76,1)}
      70:{1,4}:{(63,1),(64,1)}
      71:{2,3,5,6}:{(65,1),(66,1),(75,1),(77,1)}
      72:{1,2,5}:{(66,1),(67,1),(76,1)}
      73:{1,2,3}:{(68,1),(74,1)}
      74:{1,3,4}:{(70,1),(73,1),(78,1)}
      75:{3,4,6}:{(69,1),(71,1),(79,1)}
      76:{1,4,5}:{(69,1),(70,1),(72,1),(78,1),(79,1)}
      77:{1,2,5,6}:{(71,1),(72,1),(79,1)}
      78:{1,3,5}:{(74,1),(76,1),(80,1)}
      79:{1,4,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

385 :  0:{2,4,5}:{(2,1),(3,1),(39,1)}
       1:{4,5,6}:{(5,1),(6,1),(27,1),(75,1)}
       2:{2,4,6}:{(0,1),(5,1),(7,1),(27,1),(77,1)}
       3:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(29,1)}
       4:{3,4,5}:{(11,1),(12,1),(13,1),(39,1),(54,1),(60,1),(70,1),(73,1)}
       5:{2,5,6}:{(1,1),(2,1),(78,1)}
       6:{3,5,6}:{(1,1),(11,1),(15,1),(70,1)}
       7:{2,3,6}:{(2,1),(3,1),(16,1),(17,1),(74,1)}
       8:{1,2,5}:{(3,1),(16,1),(18,1),(41,1)}
       9:{3,4}:{(3,1),(18,1)}
      10:{1,3,4}:{(19,1),(20,1),(43,1),(68,1)}
      11:{3,4,6}:{(4,1),(6,1),(22,1),(23,1),(27,1),(50,1)}
      12:{2,3,5}:{(4,1),(22,1),(24,1),(25,1),(48,1),(49,1)}
      13:{1,4,5}:{(4,1),(19,1),(23,1),(24,1),(43,1),(63,1)}
      14:{2,3,5,6}:{(5,1),(6,1),(7,1),(22,1),(26,1),(27,1),(29,1),(48,1),(50,1),(67,1)}
      15:{1,5,6}:{(6,1),(23,1),(63,1)}
      16:{1,2,6}:{(7,1),(8,1),(28,1),(69,1)}
      17:{3,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(50,1),(68,1)}
      18:{1,4}:{(8,1),(9,1),(30,1)}
      19:{1,3,5}:{(10,1),(13,1),(31,1),(60,1)}
      20:{1,2,3}:{(10,1),(33,1),(74,1)}
      21:{2,3,4}:{(33,1),(34,1),(54,1)}
      22:{2,3,6}:{(11,1),(12,1),(35,1),(36,1)}
      23:{1,4,6}:{(11,1),(13,1),(15,1),(31,1),(35,1)}
      24:{1,2,5}:{(12,1),(13,1),(35,1),(37,1)}
      25:{2,4}:{(12,1),(73,1)}
      26:{1,2,5,6}:{(14,1),(15,1),(16,1),(35,1),(38,1),(41,1),(59,1)}
      27:{4,6}:{(14,1),(39,1),(73,1)}
      28:{1,4,6}:{(16,1),(17,1),(18,1),(40,1),(41,1),(61,1)}
      29:{3,5}:{(17,1),(39,1),(41,1)}
      30:{1,3}:{(18,1)}
      31:{1,3,6}:{(19,1),(23,1),(50,1)}
      32:{1,2,3,5}:{(19,1),(20,1),(24,1),(42,1),(43,1),(45,1),(49,1),(63,1),(65,1),(67,1)}
      33:{1,2,4}:{(20,1),(21,1),(43,1),(45,1),(77,1)}
      34:{2,3,5}:{(21,1),(44,1),(45,1),(46,1),(65,1)}
      35:{1,2,6}:{(22,1),(23,1),(24,1)}
      36:{2,4,6}:{(22,1),(25,1),(27,1),(48,1)}
      37:{1,2,4}:{(24,1),(25,1),(43,1),(49,1)}
      38:{1,4,6}:{(26,1),(27,1),(50,1),(51,1)}
      39:{4,5}:{(27,1),(29,1),(48,1)}
      40:{1,3,6}:{(28,1),(30,1),(50,1),(52,1)}
      41:{1,5}:{(28,1),(29,1)}
      42:{1,2,3,6}:{(31,1),(32,1),(35,1),(53,1),(57,1),(58,1),(72,1)}
      43:{1,4}:{(32,1),(54,1),(73,1)}
      44:{4,5}:{(34,1),(56,1)}
      45:{1,2,5}:{(33,1),(34,1),(55,1),(57,1),(78,1)}
      46:{2,3,6}:{(34,1),(56,1),(57,1),(72,1)}
      47:{1,2,4,6}:{(35,1),(36,1),(37,1),(38,1),(53,1),(58,1),(59,1),(73,1)}
      48:{2,5}:{(36,1),(39,1)}
      49:{2,3}:{(37,1),(54,1)}
      50:{3,6}:{(38,1),(60,1)}
      51:{1,4,5}:{(38,1),(39,1),(41,1),(59,1),(60,1),(61,1),(73,1)}
      52:{1,3,5}:{(40,1),(41,1),(60,1),(61,1)}
      53:{1,4,6}:{(42,1),(43,1),(62,1),(63,1)}
      54:{3,4}:{(43,1),(49,1),(65,1)}
      55:{1,4,5}:{(43,1),(44,1),(45,1),(63,1),(65,1),(66,1),(75,1)}
      56:{4,6}:{(44,1),(46,1),(64,1)}
      57:{1,2,6}:{(45,1),(46,1),(66,1),(80,1)}
      58:{2,3,6}:{(47,1),(49,1),(50,1),(62,1),(67,1),(80,1)}
      59:{1,2,5}:{(47,1),(48,1),(51,1),(63,1),(67,1),(69,1)}
      60:{3,5}:{(50,1),(51,1),(68,1)}
      61:{1,4}:{(52,1),(68,1),(69,1)}
      62:{3,4,6}:{(53,1),(54,1),(58,1),(70,1),(72,1),(73,1),(79,1)}
      63:{1,5}:{(53,1),(70,1)}
      64:{5,6}:{(56,1)}
      65:{3,5}:{(54,1),(55,1),(72,1)}
      66:{1,4,6}:{(55,1),(56,1),(57,1),(71,1),(72,1),(79,1)}
      67:{2,3,5}:{(58,1),(59,1),(60,1),(70,1),(73,1),(74,1),(78,1)}
      68:{3,4}:{(60,1),(61,1),(73,1),(74,1)}
      69:{1,2}:{(61,1),(74,1)}
      70:{3,5}:{(62,1),(63,1),(75,1)}
      71:{1,5,6}:{(63,1),(64,1),(66,1),(76,1)}
      72:{3,6}:{(65,1),(66,1)}
      73:{4}:{(67,1)}
      74:{2,3}:{(68,1),(69,1),(77,1)}
      75:{4,5}:{(70,1),(73,1),(78,1),(79,1)}
      76:{3,5,6}:{(70,1),(71,1),(72,1),(79,1)}
      77:{2,4}:{(73,1),(74,1),(78,1)}
      78:{2,5}:{(75,1),(77,1),(80,1)}
      79:{4,6}:{(75,1),(76,1),(80,1)}
      80:{2,6}:{(78,1),(79,1)}

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

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

388 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

389 :  0:{3,4,5,6}:{(1,1),(2,1),(23,1),(28,1)}
       1:{2,3,5,6}:{(0,1),(5,1),(6,1),(16,1),(20,1)}
       2:{1,4,5,6}:{(0,1),(4,1),(5,1),(19,1),(32,1),(76,1)}
       3:{2,4,5,6}:{(7,1),(12,1)}
       4:{1,3,5,6}:{(2,1),(9,1),(41,1),(78,1)}
       5:{1,2,5,6}:{(1,1),(2,1),(11,1),(25,1),(79,1)}
       6:{2,4,6}:{(1,1),(12,1)}
       7:{2,3,5,6}:{(3,1),(13,1),(14,1),(16,1)}
       8:{2,3,4,6}:{(6,1),(14,1),(15,1),(16,1),(20,1),(40,1)}
       9:{1,3,4,6}:{(4,1),(17,1),(18,1),(19,1),(51,1),(74,1)}
      10:{1,2,3,5,6}:{(4,1),(5,1),(18,1),(19,1),(20,1),(34,1),(37,1),(38,1),(53,1),(59,1),(71,1)}
      11:{1,2,4,6}:{(5,1),(6,1),(19,1),(20,1),(21,1),(71,1),(75,1)}
      12:{2,4,5}:{(6,1),(16,1)}
      13:{1,2,5,6}:{(7,1),(22,1),(25,1)}
      14:{3,4,6}:{(7,1),(22,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(22,1),(24,1),(25,1),(43,1)}
      16:{2,3,5}:{(8,1),(12,1),(23,1),(25,1)}
      17:{1,3,4,5}:{(9,1),(26,1),(29,1),(66,1)}
      18:{1,2,3,6}:{(9,1),(26,1),(27,1),(62,1),(67,1)}
      19:{1,4,6}:{(10,1),(28,1),(29,1),(43,1),(69,1)}
      20:{2,3,6}:{(11,1),(28,1),(30,1)}
      21:{1,2,4,5}:{(11,1),(12,1),(25,1),(29,1),(30,1),(43,1),(63,1),(68,1)}
      22:{1,4,6}:{(13,1),(14,1),(31,1),(32,1)}
      23:{3,4,5}:{(14,1),(16,1),(32,1),(40,1)}
      24:{1,2,3,6}:{(15,1),(20,1),(31,1),(33,1),(34,1),(71,1)}
      25:{1,2,5}:{(15,1),(16,1),(32,1)}
      26:{1,2,3,5}:{(17,1),(18,1),(35,1),(37,1),(56,1)}
      27:{1,2,4,6}:{(18,1),(19,1),(35,1),(36,1),(37,1),(54,1),(71,1)}
      28:{3,4,6}:{(19,1),(20,1),(38,1),(40,1)}
      29:{1,4,5}:{(19,1),(37,1),(38,1),(58,1)}
      30:{2,3,5}:{(20,1),(21,1),(38,1),(40,1)}
      31:{1,3,6}:{(22,1),(41,1)}
      32:{1,4,5}:{(22,1),(23,1),(25,1),(41,1),(43,1)}
      33:{1,3,4,6}:{(24,1),(28,1),(42,1),(43,1),(64,1)}
      34:{1,2,3,5}:{(24,1),(25,1),(30,1),(41,1),(42,1),(43,1),(62,1),(63,1)}
      35:{1,2,4}:{(26,1),(44,1)}
      36:{2,3,4,6}:{(27,1),(28,1),(44,1),(46,1),(50,1),(67,1),(69,1),(70,1)}
      37:{1,2,5}:{(27,1),(29,1),(46,1)}
      38:{3,5}:{(28,1),(29,1)}
      39:{1,4,5,6}:{(29,1),(47,1),(49,1),(64,1),(69,1)}
      40:{3,4}:{(30,1),(43,1)}
      41:{1,3,5}:{(31,1),(32,1),(51,1)}
      42:{1,3,5}:{(33,1),(38,1),(52,1)}
      43:{1,4}:{(34,1),(40,1)}
      44:{2,3,4}:{(35,1),(56,1)}
      45:{1,2,4,5}:{(35,1),(37,1),(56,1),(57,1),(58,1),(72,1)}
      46:{2,3,5}:{(36,1),(37,1),(38,1),(58,1)}
      47:{1,2,5,6}:{(37,1),(39,1),(57,1),(59,1),(71,1),(80,1)}
      48:{3,4,5}:{(38,1),(40,1),(52,1),(58,1),(60,1),(61,1)}
      49:{3,5,6}:{(38,1),(39,1),(61,1)}
      50:{2,3,4}:{(40,1),(54,1),(60,1)}
      51:{1,3,4}:{(41,1),(43,1),(62,1)}
      52:{1,4,5}:{(42,1),(43,1),(48,1),(63,1),(64,1)}
      53:{1,3,5,6}:{(42,1),(49,1),(64,1)}
      54:{1,2,4}:{(43,1),(50,1),(62,1),(63,1)}
      55:{1,2,3,4}:{(44,1),(65,1)}
      56:{2,3,5}:{(44,1),(45,1),(66,1),(67,1)}
      57:{1,2,4,6}:{(45,1),(47,1),(67,1),(69,1),(77,1)}
      58:{4,5}:{(46,1),(69,1)}
      59:{2,3,5,6}:{(46,1),(47,1),(49,1),(67,1),(69,1),(70,1),(78,1),(79,1)}
      60:{2,3,5}:{(48,1),(50,1),(63,1),(68,1),(70,1)}
      61:{3,4,6}:{(48,1),(49,1),(64,1),(69,1),(70,1)}
      62:{1,2,3}:{(51,1),(54,1)}
      63:{1,2,5}:{(52,1),(54,1),(60,1),(71,1)}
      64:{1,4,6}:{(52,1),(53,1),(61,1),(71,1)}
      65:{1,2,3,5}:{(55,1),(56,1),(72,1),(73,1)}
      66:{3,4,5}:{(56,1),(58,1),(72,1),(74,1)}
      67:{2,3,6}:{(56,1),(57,1),(74,1)}
      68:{2,4,5}:{(58,1),(60,1),(75,1)}
      69:{4,6}:{(58,1),(59,1)}
      70:{2,3,6}:{(60,1),(61,1),(71,1),(75,1)}
      71:{1,2,6}:{(63,1),(64,1),(70,1)}
      72:{1,4,5}:{(65,1),(66,1),(77,1)}
      73:{1,2,3,6}:{(65,1),(67,1),(77,1)}
      74:{3,4,6}:{(66,1),(67,1),(69,1),(77,1),(78,1)}
      75:{2,4,6}:{(68,1),(69,1),(70,1),(79,1)}
      76:{4,5,6}:{(69,1),(78,1),(79,1)}
      77:{1,4,6}:{(72,1),(73,1),(74,1),(80,1)}
      78:{3,5,6}:{(74,1),(76,1),(80,1)}
      79:{2,5,6}:{(75,1),(76,1)}
      80:{1,5,6}:{(77,1),(78,1)}

390 :  0:{1,2,3,4}:{(1,1),(17,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1),(10,1)}
       2:{1,4,5}:{(1,1),(5,1),(7,1)}
       3:{1,2,3,6}:{(1,1),(7,1),(18,1)}
       4:{1,3,4,5}:{(5,1),(8,1),(9,1),(36,1)}
       5:{3,4,5}:{(2,1),(10,1),(11,1),(40,1)}
       6:{1,2,4,5}:{(2,1),(10,1),(12,1),(14,1),(28,1),(40,1)}
       7:{1,4,6}:{(2,1),(3,1),(11,1),(13,1)}
       8:{1,2,3,5}:{(4,1),(10,1),(14,1),(15,1),(28,1)}
       9:{1,3,4,6}:{(4,1),(11,1),(15,1),(16,1),(29,1),(73,1)}
      10:{2,3,5}:{(5,1),(6,1),(17,1),(18,1)}
      11:{3,4,6}:{(5,1),(7,1),(18,1),(19,1),(33,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(20,1),(33,1)}
      13:{1,5,6}:{(7,1),(19,1)}
      14:{1,2,4}:{(8,1),(17,1)}
      15:{1,2,3,6}:{(8,1),(9,1),(18,1),(21,1),(77,1)}
      16:{1,3,5,6}:{(9,1),(19,1),(23,1),(78,1)}
      17:{2,3,4}:{(10,1),(14,1)}
      18:{2,3,6}:{(10,1),(11,1),(12,1)}
      19:{3,5,6}:{(11,1),(13,1),(26,1)}
      20:{1,2,5,6}:{(12,1),(13,1),(25,1),(27,1),(28,1),(60,1)}
      21:{1,2,4,6}:{(14,1),(15,1),(24,1),(28,1),(29,1),(60,1),(72,1)}
      22:{1,2,3,5,6}:{(15,1),(16,1),(25,1),(28,1),(29,1),(30,1),(43,1),(45,1),(46,1),(60,1),(61,1)}
      23:{1,4,5,6}:{(16,1),(26,1),(29,1),(30,1),(31,1),(74,1)}
      24:{2,3,4,6}:{(17,1),(18,1),(21,1),(32,1),(33,1),(38,1),(51,1),(67,1)}
      25:{2,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(33,1),(34,1),(35,1),(51,1)}
      26:{4,5,6}:{(19,1),(33,1),(34,1)}
      27:{1,4,5,6}:{(20,1),(33,1),(35,1),(36,1),(52,1)}
      28:{1,2,5}:{(21,1),(32,1),(36,1)}
      29:{1,4,6}:{(22,1),(33,1),(36,1),(38,1),(68,1)}
      30:{1,2,5,6}:{(23,1),(34,1),(37,1),(39,1),(70,1)}
      31:{3,4,5,6}:{(23,1),(38,1),(39,1),(69,1)}
      32:{2,3,5}:{(24,1),(28,1),(40,1),(45,1)}
      33:{4,6}:{(25,1),(40,1)}
      34:{2,5,6}:{(26,1),(41,1)}
      35:{3,5,6}:{(27,1),(42,1),(45,1)}
      36:{1,4,5}:{(28,1),(29,1),(40,1),(45,1)}
      37:{1,2,4,6}:{(29,1),(30,1),(41,1),(44,1),(46,1),(48,1),(60,1)}
      38:{3,4,6}:{(29,1),(45,1),(46,1),(62,1)}
      39:{2,3,5,6}:{(30,1),(31,1),(46,1),(48,1),(64,1)}
      40:{4,5}:{(32,1),(33,1)}
      41:{2,4,6}:{(33,1),(34,1),(49,1),(51,1)}
      42:{3,4,6}:{(33,1),(35,1),(50,1),(51,1),(52,1)}
      43:{1,3,5,6}:{(35,1),(52,1),(54,1)}
      44:{1,2,4,5}:{(36,1),(37,1),(49,1),(53,1),(57,1),(66,1),(68,1),(70,1)}
      45:{3,5}:{(36,1),(38,1)}
      46:{2,3,6}:{(37,1),(38,1),(53,1)}
      47:{1,3,4,6}:{(38,1),(52,1),(54,1),(55,1),(68,1)}
      48:{2,4,6}:{(39,1),(57,1)}
      49:{2,4,5}:{(40,1),(41,1),(58,1)}
      50:{3,4,5}:{(40,1),(42,1),(45,1),(58,1),(59,1),(62,1)}
      51:{2,3,6}:{(41,1),(42,1),(58,1),(60,1)}
      52:{1,4,6}:{(42,1),(43,1),(59,1),(60,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(62,1)}
      54:{1,3,5}:{(45,1),(47,1),(59,1)}
      55:{1,2,3,6}:{(46,1),(47,1),(60,1),(61,1),(63,1),(80,1)}
      56:{2,3,4,6}:{(46,1),(48,1),(62,1),(63,1),(64,1),(75,1)}
      57:{2,4,5}:{(48,1),(64,1)}
      58:{2,3,5}:{(49,1),(50,1),(51,1),(66,1),(67,1)}
      59:{1,4,5}:{(50,1),(52,1),(54,1),(66,1),(68,1)}
      60:{1,2,6}:{(51,1),(52,1),(66,1)}
      61:{1,2,3,5}:{(53,1),(54,1),(55,1),(66,1),(68,1),(70,1),(77,1),(78,1)}
      62:{3,4}:{(53,1),(68,1)}
      63:{1,2,4,6}:{(55,1),(56,1),(68,1),(70,1),(79,1)}
      64:{2,3,5}:{(56,1),(57,1),(69,1),(70,1)}
      65:{2,4,5,6}:{(57,1),(71,1)}
      66:{1,2,5}:{(58,1),(59,1),(60,1),(72,1)}
      67:{2,3,4}:{(58,1),(62,1),(72,1)}
      68:{1,4}:{(61,1),(62,1)}
      69:{3,4,5}:{(62,1),(64,1),(74,1),(75,1)}
      70:{1,2,5}:{(63,1),(64,1),(74,1)}
      71:{2,3,5,6}:{(64,1),(65,1),(75,1),(76,1)}
      72:{1,2,4}:{(66,1),(67,1),(68,1),(77,1)}
      73:{1,3,4}:{(68,1),(77,1),(78,1)}
      74:{1,4,5}:{(68,1),(69,1),(70,1),(78,1),(79,1)}
      75:{3,4,6}:{(69,1),(71,1),(79,1)}
      76:{1,2,5,6}:{(70,1),(71,1),(79,1)}
      77:{1,2,3}:{(72,1),(73,1)}
      78:{1,3,5}:{(73,1),(74,1),(80,1)}
      79:{1,4,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

391 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

392 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

393 :  0:{4,5,6}:{(3,1),(4,1),(24,1),(75,1)}
       1:{2,4,5}:{(5,1),(6,1),(36,1)}
       2:{3,4,5}:{(8,1),(9,1),(10,1),(36,1),(53,1),(59,1),(69,1),(72,1)}
       3:{2,5,6}:{(0,1),(5,1),(78,1)}
       4:{3,5,6}:{(0,1),(8,1),(12,1),(69,1)}
       5:{2,4,6}:{(1,1),(3,1),(13,1),(24,1),(77,1)}
       6:{2,3,5}:{(1,1),(13,1),(14,1),(15,1),(38,1)}
       7:{1,3,4}:{(16,1),(17,1),(41,1),(67,1)}
       8:{3,4,6}:{(2,1),(4,1),(19,1),(20,1),(24,1),(48,1)}
       9:{2,3,5}:{(2,1),(19,1),(21,1),(22,1),(46,1),(47,1)}
      10:{1,4,5}:{(2,1),(16,1),(20,1),(21,1),(41,1),(62,1)}
      11:{2,3,5,6}:{(3,1),(4,1),(13,1),(19,1),(23,1),(24,1),(38,1),(46,1),(48,1),(66,1)}
      12:{1,5,6}:{(4,1),(20,1),(62,1)}
      13:{2,3,6}:{(5,1),(6,1),(25,1),(26,1),(73,1)}
      14:{1,2,5}:{(6,1),(25,1),(27,1),(51,1)}
      15:{3,4}:{(6,1),(27,1)}
      16:{1,3,5}:{(7,1),(10,1),(28,1),(59,1)}
      17:{1,2,3}:{(7,1),(30,1),(73,1)}
      18:{2,3,4}:{(30,1),(31,1),(53,1)}
      19:{2,3,6}:{(8,1),(9,1),(32,1),(33,1)}
      20:{1,4,6}:{(8,1),(10,1),(12,1),(28,1),(32,1)}
      21:{1,2,5}:{(9,1),(10,1),(32,1),(34,1)}
      22:{2,4}:{(9,1),(72,1)}
      23:{1,2,5,6}:{(11,1),(12,1),(25,1),(32,1),(35,1),(51,1),(58,1)}
      24:{4,6}:{(11,1),(36,1),(72,1)}
      25:{1,2,6}:{(13,1),(14,1),(37,1),(74,1)}
      26:{3,4,6}:{(13,1),(15,1),(24,1),(37,1),(38,1),(48,1),(67,1)}
      27:{1,4}:{(14,1),(15,1),(39,1)}
      28:{1,3,6}:{(16,1),(20,1),(48,1)}
      29:{1,2,3,5}:{(16,1),(17,1),(21,1),(40,1),(41,1),(43,1),(47,1),(62,1),(64,1),(66,1)}
      30:{1,2,4}:{(17,1),(18,1),(41,1),(43,1),(77,1)}
      31:{2,3,5}:{(18,1),(42,1),(43,1),(44,1),(64,1)}
      32:{1,2,6}:{(19,1),(20,1),(21,1)}
      33:{2,4,6}:{(19,1),(22,1),(24,1),(46,1)}
      34:{1,2,4}:{(21,1),(22,1),(41,1),(47,1)}
      35:{1,4,6}:{(23,1),(24,1),(48,1),(49,1)}
      36:{4,5}:{(24,1),(38,1),(46,1)}
      37:{1,4,6}:{(25,1),(26,1),(27,1),(50,1),(51,1),(68,1)}
      38:{3,5}:{(26,1),(36,1),(51,1)}
      39:{1,3}:{(27,1)}
      40:{1,2,3,6}:{(28,1),(29,1),(32,1),(52,1),(56,1),(57,1),(71,1)}
      41:{1,4}:{(29,1),(53,1),(72,1)}
      42:{4,5}:{(31,1),(55,1)}
      43:{1,2,5}:{(30,1),(31,1),(54,1),(56,1),(78,1)}
      44:{2,3,6}:{(31,1),(55,1),(56,1),(71,1)}
      45:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(52,1),(57,1),(58,1),(72,1)}
      46:{2,5}:{(33,1),(36,1)}
      47:{2,3}:{(34,1),(53,1)}
      48:{3,6}:{(35,1),(59,1)}
      49:{1,4,5}:{(35,1),(36,1),(51,1),(58,1),(59,1),(68,1),(72,1)}
      50:{1,3,6}:{(37,1),(39,1),(48,1),(60,1)}
      51:{1,5}:{(37,1),(38,1)}
      52:{1,4,6}:{(40,1),(41,1),(61,1),(62,1)}
      53:{3,4}:{(41,1),(47,1),(64,1)}
      54:{1,4,5}:{(41,1),(42,1),(43,1),(62,1),(64,1),(65,1),(75,1)}
      55:{4,6}:{(42,1),(44,1),(63,1)}
      56:{1,2,6}:{(43,1),(44,1),(65,1),(80,1)}
      57:{2,3,6}:{(45,1),(47,1),(48,1),(61,1),(66,1),(80,1)}
      58:{1,2,5}:{(45,1),(46,1),(49,1),(62,1),(66,1),(74,1)}
      59:{3,5}:{(48,1),(49,1),(67,1)}
      60:{1,3,5}:{(50,1),(51,1),(59,1),(68,1)}
      61:{3,4,6}:{(52,1),(53,1),(57,1),(69,1),(71,1),(72,1),(79,1)}
      62:{1,5}:{(52,1),(69,1)}
      63:{5,6}:{(55,1)}
      64:{3,5}:{(53,1),(54,1),(71,1)}
      65:{1,4,6}:{(54,1),(55,1),(56,1),(70,1),(71,1),(79,1)}
      66:{2,3,5}:{(57,1),(58,1),(59,1),(69,1),(72,1),(73,1),(78,1)}
      67:{3,4}:{(59,1),(68,1),(72,1),(73,1)}
      68:{1,4}:{(60,1),(67,1),(74,1)}
      69:{3,5}:{(61,1),(62,1),(75,1)}
      70:{1,5,6}:{(62,1),(63,1),(65,1),(76,1)}
      71:{3,6}:{(64,1),(65,1)}
      72:{4}:{(66,1)}
      73:{2,3}:{(67,1),(74,1),(77,1)}
      74:{1,2}:{(68,1),(73,1)}
      75:{4,5}:{(69,1),(72,1),(78,1),(79,1)}
      76:{3,5,6}:{(69,1),(70,1),(71,1),(79,1)}
      77:{2,4}:{(72,1),(73,1),(78,1)}
      78:{2,5}:{(75,1),(77,1),(80,1)}
      79:{4,6}:{(75,1),(76,1),(80,1)}
      80:{2,6}:{(78,1),(79,1)}

394 :  0:{2,4,5,6}:{(1,1),(20,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(4,1),(14,1)}
       2:{3,4,5,6}:{(5,1),(6,1),(9,1),(34,1)}
       3:{1,2,5,6}:{(1,1),(8,1),(22,1)}
       4:{3,4,6}:{(1,1),(8,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(11,1),(12,1),(14,1),(27,1)}
       6:{1,4,5,6}:{(2,1),(10,1),(11,1),(16,1),(26,1),(76,1)}
       7:{2,3,4,6}:{(4,1),(12,1),(13,1),(14,1),(27,1),(45,1)}
       8:{1,4,6}:{(3,1),(4,1),(15,1),(16,1)}
       9:{3,4,5}:{(4,1),(14,1),(16,1),(45,1)}
      10:{1,3,5,6}:{(6,1),(17,1),(23,1),(78,1)}
      11:{1,2,5,6}:{(5,1),(6,1),(19,1),(22,1),(79,1)}
      12:{2,4,6}:{(5,1),(20,1)}
      13:{1,2,4,6}:{(7,1),(8,1),(21,1),(22,1),(38,1)}
      14:{2,3,5}:{(7,1),(9,1),(20,1),(22,1)}
      15:{1,3,6}:{(8,1),(23,1)}
      16:{1,4,5}:{(8,1),(9,1),(22,1),(23,1),(38,1)}
      17:{1,3,4,6}:{(10,1),(24,1),(25,1),(26,1),(31,1),(74,1)}
      18:{1,2,3,5,6}:{(10,1),(11,1),(25,1),(26,1),(27,1),(30,1),(42,1),(43,1),(47,1),(62,1),(65,1)}
      19:{1,2,4,6}:{(11,1),(12,1),(26,1),(27,1),(28,1),(65,1),(75,1)}
      20:{2,4,5}:{(12,1),(14,1)}
      21:{1,2,3,6}:{(13,1),(15,1),(27,1),(29,1),(30,1),(65,1)}
      22:{1,2,5}:{(13,1),(14,1),(16,1)}
      23:{1,3,5}:{(15,1),(16,1),(31,1)}
      24:{1,3,4,5}:{(17,1),(32,1),(35,1),(67,1)}
      25:{1,2,3,6}:{(17,1),(32,1),(33,1),(39,1),(68,1)}
      26:{1,4,6}:{(18,1),(34,1),(35,1),(38,1),(70,1)}
      27:{2,3,6}:{(19,1),(34,1),(36,1)}
      28:{1,2,4,5}:{(19,1),(20,1),(22,1),(35,1),(36,1),(38,1),(56,1),(69,1)}
      29:{1,3,4,6}:{(21,1),(34,1),(37,1),(38,1),(57,1)}
      30:{1,2,3,5}:{(21,1),(22,1),(23,1),(36,1),(37,1),(38,1),(39,1),(56,1)}
      31:{1,3,4}:{(23,1),(38,1),(39,1)}
      32:{1,2,3,5}:{(24,1),(25,1),(40,1),(42,1),(59,1)}
      33:{1,2,4,6}:{(25,1),(26,1),(40,1),(41,1),(42,1),(48,1),(65,1)}
      34:{3,4,6}:{(26,1),(27,1),(43,1),(45,1)}
      35:{1,4,5}:{(26,1),(42,1),(43,1),(61,1)}
      36:{2,3,5}:{(27,1),(28,1),(43,1),(45,1)}
      37:{1,3,5}:{(29,1),(43,1),(46,1)}
      38:{1,4}:{(30,1),(45,1)}
      39:{1,2,3}:{(31,1),(48,1)}
      40:{1,2,4}:{(32,1),(49,1)}
      41:{2,3,4,6}:{(33,1),(34,1),(49,1),(51,1),(55,1),(68,1),(70,1),(71,1)}
      42:{1,2,5}:{(33,1),(35,1),(51,1)}
      43:{3,5}:{(34,1),(35,1)}
      44:{1,4,5,6}:{(35,1),(52,1),(54,1),(57,1),(70,1)}
      45:{3,4}:{(36,1),(38,1)}
      46:{1,4,5}:{(37,1),(38,1),(53,1),(56,1),(57,1)}
      47:{1,3,5,6}:{(37,1),(54,1),(57,1)}
      48:{1,2,4}:{(38,1),(39,1),(55,1),(56,1)}
      49:{2,3,4}:{(40,1),(59,1)}
      50:{1,2,4,5}:{(40,1),(42,1),(59,1),(60,1),(61,1),(72,1)}
      51:{2,3,5}:{(41,1),(42,1),(43,1),(61,1)}
      52:{1,2,5,6}:{(42,1),(44,1),(60,1),(62,1),(65,1),(80,1)}
      53:{3,4,5}:{(43,1),(45,1),(46,1),(61,1),(63,1),(64,1)}
      54:{3,5,6}:{(43,1),(44,1),(64,1)}
      55:{2,3,4}:{(45,1),(48,1),(63,1)}
      56:{1,2,5}:{(46,1),(48,1),(63,1),(65,1)}
      57:{1,4,6}:{(46,1),(47,1),(64,1),(65,1)}
      58:{1,2,3,4}:{(49,1),(66,1)}
      59:{2,3,5}:{(49,1),(50,1),(67,1),(68,1)}
      60:{1,2,4,6}:{(50,1),(52,1),(68,1),(70,1),(77,1)}
      61:{4,5}:{(51,1),(70,1)}
      62:{2,3,5,6}:{(51,1),(52,1),(54,1),(68,1),(70,1),(71,1),(78,1),(79,1)}
      63:{2,3,5}:{(53,1),(55,1),(56,1),(69,1),(71,1)}
      64:{3,4,6}:{(53,1),(54,1),(57,1),(70,1),(71,1)}
      65:{1,2,6}:{(56,1),(57,1),(71,1)}
      66:{1,2,3,5}:{(58,1),(59,1),(72,1),(73,1)}
      67:{3,4,5}:{(59,1),(61,1),(72,1),(74,1)}
      68:{2,3,6}:{(59,1),(60,1),(74,1)}
      69:{2,4,5}:{(61,1),(63,1),(75,1)}
      70:{4,6}:{(61,1),(62,1)}
      71:{2,3,6}:{(63,1),(64,1),(65,1),(75,1)}
      72:{1,4,5}:{(66,1),(67,1),(77,1)}
      73:{1,2,3,6}:{(66,1),(68,1),(77,1)}
      74:{3,4,6}:{(67,1),(68,1),(70,1),(77,1),(78,1)}
      75:{2,4,6}:{(69,1),(70,1),(71,1),(79,1)}
      76:{4,5,6}:{(70,1),(78,1),(79,1)}
      77:{1,4,6}:{(72,1),(73,1),(74,1),(80,1)}
      78:{3,5,6}:{(74,1),(76,1),(80,1)}
      79:{2,5,6}:{(75,1),(76,1)}
      80:{1,5,6}:{(77,1),(78,1)}

395 :  0:{3,4,5}:{(3,1),(4,1),(5,1),(44,1),(46,1),(65,1),(66,1),(69,1)}
       1:{4,5,6}:{(7,1),(8,1),(31,1),(72,1)}
       2:{1,3,4}:{(9,1),(10,1),(33,1),(71,1)}
       3:{3,4,6}:{(0,1),(8,1),(12,1),(13,1),(31,1),(55,1)}
       4:{2,3,5}:{(0,1),(12,1),(14,1),(15,1),(38,1),(39,1)}
       5:{1,4,5}:{(0,1),(9,1),(13,1),(14,1),(33,1),(58,1)}
       6:{2,4,5}:{(16,1),(17,1),(44,1)}
       7:{2,5,6}:{(1,1),(16,1),(77,1)}
       8:{3,5,6}:{(1,1),(3,1),(19,1),(66,1)}
       9:{1,3,5}:{(2,1),(5,1),(20,1),(65,1)}
      10:{1,2,3}:{(2,1),(22,1),(76,1)}
      11:{2,3,4}:{(22,1),(23,1),(46,1)}
      12:{2,3,6}:{(3,1),(4,1),(24,1),(25,1)}
      13:{1,4,6}:{(3,1),(5,1),(19,1),(20,1),(24,1)}
      14:{1,2,5}:{(4,1),(5,1),(24,1),(26,1)}
      15:{2,4}:{(4,1),(69,1)}
      16:{2,4,6}:{(6,1),(7,1),(27,1),(31,1),(74,1)}
      17:{2,3,5}:{(6,1),(27,1),(28,1),(29,1),(53,1)}
      18:{2,3,5,6}:{(7,1),(8,1),(12,1),(27,1),(30,1),(31,1),(38,1),(53,1),(55,1),(62,1)}
      19:{1,5,6}:{(8,1),(13,1),(58,1)}
      20:{1,3,6}:{(9,1),(13,1),(55,1)}
      21:{1,2,3,5}:{(9,1),(10,1),(14,1),(32,1),(33,1),(35,1),(39,1),(58,1),(60,1),(62,1)}
      22:{1,2,4}:{(10,1),(11,1),(33,1),(35,1),(74,1)}
      23:{2,3,5}:{(11,1),(34,1),(35,1),(36,1),(60,1)}
      24:{1,2,6}:{(12,1),(13,1),(14,1)}
      25:{2,4,6}:{(12,1),(15,1),(31,1),(38,1)}
      26:{1,2,4}:{(14,1),(15,1),(33,1),(39,1)}
      27:{2,3,6}:{(16,1),(17,1),(40,1),(41,1),(76,1)}
      28:{1,2,5}:{(17,1),(40,1),(42,1),(64,1)}
      29:{3,4}:{(17,1),(42,1)}
      30:{1,2,5,6}:{(18,1),(19,1),(24,1),(40,1),(43,1),(51,1),(64,1)}
      31:{4,6}:{(18,1),(44,1),(69,1)}
      32:{1,2,3,6}:{(20,1),(21,1),(24,1),(45,1),(49,1),(50,1),(68,1)}
      33:{1,4}:{(21,1),(46,1),(69,1)}
      34:{4,5}:{(23,1),(48,1)}
      35:{1,2,5}:{(22,1),(23,1),(47,1),(49,1),(77,1)}
      36:{2,3,6}:{(23,1),(48,1),(49,1),(68,1)}
      37:{1,2,4,6}:{(24,1),(25,1),(26,1),(43,1),(45,1),(50,1),(51,1),(69,1)}
      38:{2,5}:{(25,1),(44,1)}
      39:{2,3}:{(26,1),(46,1)}
      40:{1,2,6}:{(27,1),(28,1),(52,1),(79,1)}
      41:{3,4,6}:{(27,1),(29,1),(31,1),(52,1),(53,1),(55,1),(71,1)}
      42:{1,4}:{(28,1),(29,1),(54,1)}
      43:{1,4,6}:{(30,1),(31,1),(55,1),(56,1)}
      44:{4,5}:{(31,1),(38,1),(53,1)}
      45:{1,4,6}:{(32,1),(33,1),(57,1),(58,1)}
      46:{3,4}:{(33,1),(39,1),(60,1)}
      47:{1,4,5}:{(33,1),(34,1),(35,1),(58,1),(60,1),(61,1),(72,1)}
      48:{4,6}:{(34,1),(36,1),(59,1)}
      49:{1,2,6}:{(35,1),(36,1),(61,1),(80,1)}
      50:{2,3,6}:{(37,1),(39,1),(55,1),(57,1),(62,1),(80,1)}
      51:{1,2,5}:{(37,1),(38,1),(56,1),(58,1),(62,1),(79,1)}
      52:{1,4,6}:{(40,1),(41,1),(42,1),(63,1),(64,1),(75,1)}
      53:{3,5}:{(41,1),(44,1),(64,1)}
      54:{1,3}:{(42,1)}
      55:{3,6}:{(43,1),(65,1)}
      56:{1,4,5}:{(43,1),(44,1),(51,1),(64,1),(65,1),(69,1),(75,1)}
      57:{3,4,6}:{(45,1),(46,1),(50,1),(66,1),(68,1),(69,1),(78,1)}
      58:{1,5}:{(45,1),(66,1)}
      59:{5,6}:{(48,1)}
      60:{3,5}:{(46,1),(47,1),(68,1)}
      61:{1,4,6}:{(47,1),(48,1),(49,1),(67,1),(68,1),(78,1)}
      62:{2,3,5}:{(50,1),(51,1),(65,1),(66,1),(69,1),(76,1),(77,1)}
      63:{1,3,6}:{(52,1),(54,1),(55,1),(70,1)}
      64:{1,5}:{(52,1),(53,1)}
      65:{3,5}:{(55,1),(56,1),(71,1)}
      66:{3,5}:{(57,1),(58,1),(72,1)}
      67:{1,5,6}:{(58,1),(59,1),(61,1),(73,1)}
      68:{3,6}:{(60,1),(61,1)}
      69:{4}:{(62,1)}
      70:{1,3,5}:{(63,1),(64,1),(65,1),(75,1)}
      71:{3,4}:{(65,1),(69,1),(75,1),(76,1)}
      72:{4,5}:{(66,1),(69,1),(77,1),(78,1)}
      73:{3,5,6}:{(66,1),(67,1),(68,1),(78,1)}
      74:{2,4}:{(69,1),(76,1),(77,1)}
      75:{1,4}:{(70,1),(71,1),(79,1)}
      76:{2,3}:{(71,1),(74,1),(79,1)}
      77:{2,5}:{(72,1),(74,1),(80,1)}
      78:{4,6}:{(72,1),(73,1),(80,1)}
      79:{1,2}:{(75,1),(76,1)}
      80:{2,6}:{(77,1),(78,1)}

396 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{1,4,5}:{(1,1),(6,1),(7,1),(12,1)}
       5:{2,3,6}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{1,2,5}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{2,4,6}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{1,2,4}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,5}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,3}:{(10,1),(16,1)}
      14:{2,5,6}:{(11,1),(18,1)}
      15:{4,5}:{(11,1),(12,1),(18,1),(19,1)}
      16:{3,4}:{(12,1),(13,1),(19,1),(20,1)}
      17:{1,2,3}:{(13,1),(20,1)}
      18:{4,6}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,4}:{(16,1),(17,1),(22,1)}
      21:{3,6}:{(18,1),(19,1),(23,1)}
      22:{1,5}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

397 :  0:{1,3,4}:{(2,1),(3,1),(20,1),(75,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(32,1),(53,1),(56,1),(70,1),(71,1)}
       2:{1,3,5}:{(0,1),(8,1),(9,1),(70,1)}
       3:{1,2,3}:{(0,1),(11,1),(79,1)}
       4:{2,3,4}:{(11,1),(12,1),(32,1)}
       5:{4,5,6}:{(13,1),(14,1),(39,1),(65,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(39,1),(62,1)}
       7:{2,3,5}:{(1,1),(15,1),(17,1),(18,1),(41,1),(42,1)}
       8:{1,4,5}:{(1,1),(2,1),(16,1),(17,1),(20,1),(44,1)}
       9:{1,3,6}:{(2,1),(16,1),(62,1)}
      10:{1,2,3,5}:{(2,1),(3,1),(17,1),(19,1),(20,1),(22,1),(42,1),(44,1),(46,1),(64,1)}
      11:{1,2,4}:{(3,1),(4,1),(20,1),(22,1),(76,1)}
      12:{2,3,5}:{(4,1),(21,1),(22,1),(23,1),(46,1)}
      13:{2,5,6}:{(5,1),(25,1),(72,1)}
      14:{3,5,6}:{(5,1),(6,1),(27,1),(56,1)}
      15:{2,3,6}:{(6,1),(7,1),(28,1),(29,1)}
      16:{1,4,6}:{(6,1),(8,1),(9,1),(27,1),(28,1)}
      17:{1,2,5}:{(7,1),(8,1),(28,1),(30,1)}
      18:{2,4}:{(7,1),(71,1)}
      19:{1,2,3,6}:{(9,1),(10,1),(28,1),(31,1),(35,1),(54,1),(58,1)}
      20:{1,4}:{(10,1),(32,1),(71,1)}
      21:{4,5}:{(12,1),(34,1)}
      22:{1,2,5}:{(11,1),(12,1),(33,1),(35,1),(72,1)}
      23:{2,3,6}:{(12,1),(34,1),(35,1),(58,1)}
      24:{2,4,5}:{(25,1),(36,1),(53,1)}
      25:{2,4,6}:{(13,1),(24,1),(37,1),(39,1),(76,1)}
      26:{2,3,5,6}:{(13,1),(14,1),(15,1),(37,1),(38,1),(39,1),(41,1),(61,1),(62,1),(64,1)}
      27:{1,5,6}:{(14,1),(16,1),(44,1)}
      28:{1,2,6}:{(15,1),(16,1),(17,1)}
      29:{2,4,6}:{(15,1),(18,1),(39,1),(41,1)}
      30:{1,2,4}:{(17,1),(18,1),(20,1),(42,1)}
      31:{1,4,6}:{(19,1),(20,1),(43,1),(44,1)}
      32:{3,4}:{(20,1),(42,1),(46,1)}
      33:{1,4,5}:{(20,1),(21,1),(22,1),(44,1),(46,1),(47,1),(65,1)}
      34:{4,6}:{(21,1),(23,1),(45,1)}
      35:{1,2,6}:{(22,1),(23,1),(47,1),(77,1)}
      36:{2,3,5}:{(24,1),(37,1),(48,1),(49,1),(61,1)}
      37:{2,3,6}:{(25,1),(36,1),(50,1),(51,1),(79,1)}
      38:{1,2,5,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(55,1),(69,1)}
      39:{4,6}:{(26,1),(53,1),(71,1)}
      40:{1,2,4,6}:{(28,1),(29,1),(30,1),(31,1),(52,1),(54,1),(55,1),(71,1)}
      41:{2,5}:{(29,1),(53,1)}
      42:{2,3}:{(30,1),(32,1)}
      43:{3,4,6}:{(31,1),(32,1),(54,1),(56,1),(58,1),(71,1),(73,1)}
      44:{1,5}:{(31,1),(56,1)}
      45:{5,6}:{(34,1)}
      46:{3,5}:{(32,1),(33,1),(58,1)}
      47:{1,4,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(73,1)}
      48:{1,2,5}:{(36,1),(50,1),(59,1),(69,1)}
      49:{3,4}:{(36,1),(59,1)}
      50:{1,2,6}:{(37,1),(48,1),(60,1),(80,1)}
      51:{3,4,6}:{(37,1),(39,1),(49,1),(60,1),(61,1),(62,1),(75,1)}
      52:{1,4,6}:{(38,1),(39,1),(62,1),(63,1)}
      53:{4,5}:{(39,1),(41,1),(61,1)}
      54:{2,3,6}:{(40,1),(42,1),(43,1),(62,1),(64,1),(77,1)}
      55:{1,2,5}:{(40,1),(41,1),(44,1),(63,1),(64,1),(80,1)}
      56:{3,5}:{(43,1),(44,1),(65,1)}
      57:{1,5,6}:{(44,1),(45,1),(47,1),(66,1)}
      58:{3,6}:{(46,1),(47,1)}
      59:{1,4}:{(48,1),(49,1),(67,1)}
      60:{1,4,6}:{(50,1),(51,1),(59,1),(68,1),(69,1),(78,1)}
      61:{3,5}:{(51,1),(53,1),(69,1)}
      62:{3,6}:{(52,1),(70,1)}
      63:{1,4,5}:{(52,1),(53,1),(55,1),(69,1),(70,1),(71,1),(78,1)}
      64:{2,3,5}:{(54,1),(55,1),(56,1),(70,1),(71,1),(72,1),(79,1)}
      65:{4,5}:{(56,1),(71,1),(72,1),(73,1)}
      66:{3,5,6}:{(56,1),(57,1),(58,1),(73,1)}
      67:{1,3}:{(59,1)}
      68:{1,3,6}:{(60,1),(62,1),(67,1),(74,1)}
      69:{1,5}:{(60,1),(61,1)}
      70:{3,5}:{(62,1),(63,1),(75,1)}
      71:{4}:{(64,1)}
      72:{2,5}:{(65,1),(76,1),(77,1)}
      73:{4,6}:{(65,1),(66,1),(77,1)}
      74:{1,3,5}:{(68,1),(69,1),(70,1),(78,1)}
      75:{3,4}:{(70,1),(71,1),(78,1),(79,1)}
      76:{2,4}:{(71,1),(72,1),(79,1)}
      77:{2,6}:{(72,1),(73,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{2,3}:{(75,1),(76,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

398 :  0:{2,3,4}:{(1,1),(2,1),(32,1)}
       1:{1,2,4}:{(0,1),(5,1),(6,1),(22,1),(75,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1),(20,1)}
       3:{1,3,4}:{(5,1),(8,1),(22,1),(76,1)}
       4:{4,5}:{(2,1),(11,1)}
       5:{1,2,3}:{(1,1),(3,1),(78,1)}
       6:{1,2,5}:{(1,1),(2,1),(10,1),(13,1),(70,1)}
       7:{2,3,6}:{(2,1),(11,1),(13,1),(33,1)}
       8:{1,3,5}:{(3,1),(14,1),(15,1),(72,1)}
       9:{3,4,5}:{(14,1),(16,1),(17,1),(32,1),(55,1),(58,1),(71,1),(72,1)}
      10:{1,4,5}:{(4,1),(6,1),(20,1),(21,1),(22,1),(46,1),(63,1)}
      11:{4,6}:{(4,1),(7,1),(19,1)}
      12:{1,2,3,5}:{(5,1),(6,1),(8,1),(20,1),(22,1),(23,1),(24,1),(43,1),(46,1),(64,1)}
      13:{1,2,6}:{(6,1),(7,1),(21,1),(62,1)}
      14:{1,4,5}:{(8,1),(9,1),(22,1),(24,1),(25,1),(46,1)}
      15:{1,3,6}:{(8,1),(25,1),(66,1)}
      16:{2,3,5}:{(9,1),(24,1),(26,1),(27,1),(43,1),(48,1)}
      17:{3,4,6}:{(9,1),(25,1),(27,1),(28,1),(49,1),(66,1)}
      18:{4,5,6}:{(28,1),(29,1),(49,1),(63,1)}
      19:{5,6}:{(11,1)}
      20:{3,5}:{(10,1),(32,1),(33,1)}
      21:{1,4,6}:{(10,1),(11,1),(13,1),(31,1),(33,1),(53,1)}
      22:{1,4}:{(12,1),(32,1),(71,1)}
      23:{1,2,3,6}:{(12,1),(13,1),(15,1),(33,1),(35,1),(36,1),(54,1)}
      24:{1,2,5}:{(14,1),(16,1),(34,1),(36,1)}
      25:{1,4,6}:{(14,1),(15,1),(17,1),(36,1),(37,1)}
      26:{2,4}:{(16,1),(71,1)}
      27:{2,3,6}:{(16,1),(17,1),(36,1),(38,1)}
      28:{3,5,6}:{(17,1),(18,1),(37,1),(55,1)}
      29:{2,5,6}:{(18,1),(40,1),(70,1)}
      30:{2,4,5}:{(40,1),(41,1),(58,1)}
      31:{1,5,6}:{(19,1),(21,1),(42,1),(46,1)}
      32:{3,4}:{(20,1),(22,1),(43,1)}
      33:{3,6}:{(20,1),(21,1)}
      34:{1,2,4}:{(22,1),(24,1),(26,1),(43,1)}
      35:{1,4,6}:{(22,1),(23,1),(44,1),(46,1)}
      36:{1,2,6}:{(24,1),(25,1),(27,1)}
      37:{1,5,6}:{(25,1),(28,1),(46,1)}
      38:{2,4,6}:{(26,1),(27,1),(48,1),(49,1)}
      39:{2,3,5,6}:{(27,1),(28,1),(29,1),(47,1),(48,1),(49,1),(50,1),(64,1),(66,1),(67,1)}
      40:{2,4,6}:{(29,1),(30,1),(49,1),(50,1),(75,1)}
      41:{2,3,5}:{(30,1),(50,1),(51,1),(52,1),(67,1)}
      42:{3,5,6}:{(31,1),(33,1),(53,1),(55,1)}
      43:{2,3}:{(32,1),(34,1)}
      44:{3,4,6}:{(32,1),(33,1),(35,1),(53,1),(54,1),(55,1),(71,1)}
      45:{1,2,4,6}:{(34,1),(35,1),(36,1),(38,1),(54,1),(56,1),(57,1),(71,1)}
      46:{1,5}:{(35,1),(55,1)}
      47:{1,2,5,6}:{(36,1),(37,1),(39,1),(56,1),(57,1),(60,1),(74,1)}
      48:{2,5}:{(38,1),(58,1)}
      49:{4,6}:{(39,1),(58,1),(71,1)}
      50:{2,3,6}:{(40,1),(41,1),(59,1),(60,1),(78,1)}
      51:{3,4}:{(41,1),(61,1)}
      52:{1,2,5}:{(41,1),(60,1),(61,1),(74,1)}
      53:{4,6}:{(42,1),(62,1),(63,1)}
      54:{2,3,6}:{(43,1),(44,1),(45,1),(62,1),(64,1),(66,1)}
      55:{3,5}:{(44,1),(46,1),(63,1)}
      56:{1,2,5}:{(45,1),(46,1),(48,1),(64,1),(65,1),(80,1)}
      57:{1,4,6}:{(47,1),(49,1),(65,1),(66,1)}
      58:{4,5}:{(48,1),(49,1),(67,1)}
      59:{3,4,6}:{(49,1),(50,1),(51,1),(66,1),(67,1),(68,1),(76,1)}
      60:{1,2,6}:{(50,1),(52,1),(68,1),(80,1)}
      61:{1,4}:{(51,1),(52,1),(69,1)}
      62:{2,6}:{(53,1),(70,1)}
      63:{4,5}:{(53,1),(55,1),(70,1),(71,1)}
      64:{2,3,5}:{(54,1),(55,1),(56,1),(70,1),(71,1),(72,1),(78,1)}
      65:{1,4,5}:{(56,1),(57,1),(58,1),(71,1),(72,1),(74,1),(79,1)}
      66:{3,6}:{(57,1),(72,1)}
      67:{3,5}:{(58,1),(59,1),(74,1)}
      68:{1,4,6}:{(59,1),(60,1),(61,1),(73,1),(74,1),(79,1)}
      69:{1,3}:{(61,1)}
      70:{2,5}:{(62,1),(63,1),(75,1)}
      71:{4}:{(64,1)}
      72:{3,5}:{(65,1),(66,1),(76,1)}
      73:{1,3,6}:{(66,1),(68,1),(69,1),(77,1)}
      74:{1,5}:{(67,1),(68,1)}
      75:{2,4}:{(70,1),(71,1),(78,1)}
      76:{3,4}:{(71,1),(72,1),(78,1),(79,1)}
      77:{1,3,5}:{(72,1),(73,1),(74,1),(79,1)}
      78:{2,3}:{(75,1),(76,1),(80,1)}
      79:{1,4}:{(76,1),(77,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

399 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(3,1),(4,1),(16,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
       3:{1,2,3,5}:{(1,1),(6,1),(7,1),(13,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(7,1),(8,1),(14,1)}
       5:{2,3,5,6}:{(2,1),(8,1),(9,1),(15,1)}
       6:{1,3,4}:{(3,1)}
       7:{1,2,3,6}:{(3,1),(4,1),(10,1)}
       8:{1,2,5,6}:{(4,1),(5,1),(12,1)}
       9:{4,5,6}:{(5,1)}
      10:{1,3,4,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(8,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,4,5,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{1,3,5}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{3,5,6}:{(12,1),(18,1)}
      16:{1,4,5}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{3,4,6}:{(14,1),(15,1),(20,1),(21,1)}
      19:{1,2,5}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{2,3,6}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

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

401 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

402 :  0:{1,2,3,4,6}:{(1,1),(4,1),(14,1),(17,1),(30,1),(44,1),(53,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(10,1),(38,1),(52,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(12,1),(13,1),(14,1)}
       3:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       4:{1,4,6}:{(2,1),(3,1),(9,1)}
       5:{1,2,4,5}:{(3,1),(8,1),(10,1),(24,1),(37,1),(38,1)}
       6:{3,4,5}:{(3,1),(9,1),(10,1),(37,1),(52,1),(58,1)}
       7:{1,4,5,6}:{(4,1),(12,1),(13,1),(29,1),(45,1)}
       8:{1,2,4,6}:{(4,1),(5,1),(12,1),(14,1),(29,1)}
       9:{3,4,6}:{(4,1),(6,1),(13,1),(14,1),(29,1)}
      10:{2,3,5}:{(5,1),(6,1),(14,1),(17,1)}
      11:{1,3,4,5}:{(6,1),(15,1),(16,1),(45,1),(56,1),(59,1)}
      12:{1,2,5,6}:{(7,1),(8,1),(20,1),(38,1)}
      13:{3,5,6}:{(7,1),(9,1),(52,1)}
      14:{2,3,6}:{(8,1),(9,1),(10,1)}
      15:{1,3,4,6}:{(9,1),(11,1),(21,1),(22,1),(36,1)}
      16:{1,2,3,5}:{(10,1),(11,1),(22,1),(24,1),(38,1)}
      17:{2,3,4}:{(10,1),(24,1),(58,1)}
      18:{3,4,5,6}:{(13,1),(25,1),(26,1),(29,1),(43,1),(44,1)}
      19:{1,2,4,5,6}:{(12,1),(27,1),(29,1),(40,1),(41,1),(42,1),(45,1),(54,1)}
      20:{2,3,5,6}:{(12,1),(13,1),(14,1),(29,1),(31,1)}
      21:{1,3,5,6}:{(13,1),(15,1),(26,1),(56,1)}
      22:{1,2,3,6}:{(14,1),(15,1),(16,1),(30,1)}
      23:{2,3,4,6}:{(14,1),(17,1),(29,1),(30,1),(31,1),(44,1)}
      24:{1,2,4}:{(16,1),(17,1),(59,1)}
      25:{2,3,5,6}:{(18,1),(32,1),(33,1),(47,1),(48,1)}
      26:{1,4,5,6}:{(18,1),(21,1),(32,1),(36,1),(51,1)}
      27:{2,3,5,6}:{(19,1),(35,1),(47,1),(48,1),(52,1)}
      28:{1,2,3,5,6}:{(20,1),(21,1),(22,1),(32,1),(36,1),(38,1),(48,1),(52,1),(57,1)}
      29:{4,6}:{(20,1),(37,1)}
      30:{1,2,4,6}:{(22,1),(23,1),(24,1),(36,1),(38,1)}
      31:{2,3,5}:{(23,1),(37,1),(38,1),(52,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(40,1),(54,1)}
      33:{2,4,6}:{(25,1),(29,1),(41,1)}
      34:{1,2,3,5,6}:{(27,1),(42,1),(53,1),(54,1),(56,1)}
      35:{3,4,6}:{(27,1),(29,1),(42,1),(43,1)}
      36:{1,4,6}:{(28,1),(29,1),(44,1),(45,1),(59,1)}
      37:{4,5}:{(29,1),(31,1)}
      38:{1,2,5}:{(30,1),(31,1),(45,1)}
      39:{2,3,4,6}:{(33,1),(35,1),(46,1),(47,1),(48,1),(58,1)}
      40:{1,2,4,6}:{(32,1),(33,1),(36,1),(48,1),(49,1)}
      41:{2,4,5}:{(33,1),(37,1),(47,1)}
      42:{1,4,6}:{(34,1),(35,1),(51,1)}
      43:{3,4,5}:{(35,1),(37,1),(47,1),(51,1),(52,1),(58,1)}
      44:{3,4,6}:{(36,1),(48,1),(52,1),(58,1)}
      45:{1,4,5}:{(36,1),(37,1),(38,1),(52,1)}
      46:{1,2,4,6}:{(39,1),(42,1),(53,1),(54,1),(59,1)}
      47:{2,3,5}:{(39,1),(41,1),(43,1),(54,1)}
      48:{2,3,6}:{(40,1),(44,1),(55,1)}
      49:{1,2,4,5}:{(40,1),(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{1,3,4,6}:{(42,1),(44,1),(53,1),(56,1),(59,1)}
      51:{1,4,5}:{(42,1),(43,1),(54,1),(56,1),(59,1)}
      52:{3,5}:{(44,1),(45,1)}
      53:{1,2,3,6}:{(46,1),(48,1),(50,1),(57,1)}
      54:{1,2,5}:{(46,1),(47,1),(51,1)}
      55:{2,3,5}:{(48,1),(49,1),(52,1),(58,1)}
      56:{1,3,5}:{(50,1),(51,1),(52,1)}
      57:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{3,4}:{(55,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

403 :  0:{1,2,3,4}:{(2,1),(13,1)}
       1:{1,3,4,5}:{(3,1),(4,1),(10,1),(30,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(17,1)}
       3:{1,2,3,5}:{(1,1),(7,1),(8,1),(17,1),(22,1)}
       4:{1,3,4,6}:{(1,1),(8,1),(9,1),(18,1),(25,1),(73,1)}
       5:{1,4,5}:{(2,1),(10,1),(12,1)}
       6:{1,2,3,6}:{(2,1),(12,1),(26,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{1,2,3,6}:{(3,1),(4,1),(14,1),(26,1),(77,1)}
       9:{1,3,5,6}:{(4,1),(15,1),(27,1),(78,1)}
      10:{3,4,5}:{(5,1),(17,1),(18,1),(37,1)}
      11:{1,2,4,5}:{(5,1),(7,1),(17,1),(19,1),(22,1),(37,1)}
      12:{1,4,6}:{(5,1),(6,1),(18,1),(20,1)}
      13:{2,3,4}:{(7,1),(17,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(21,1),(22,1),(25,1),(71,1),(72,1)}
      15:{1,4,5,6}:{(9,1),(23,1),(24,1),(25,1),(34,1),(75,1)}
      16:{1,2,3,5,6}:{(8,1),(9,1),(22,1),(24,1),(25,1),(35,1),(39,1),(41,1),(55,1),(59,1),(71,1)}
      17:{2,3,5}:{(10,1),(11,1),(13,1),(26,1)}
      18:{3,4,6}:{(10,1),(12,1),(26,1),(27,1),(44,1)}
      19:{1,2,4,6}:{(11,1),(12,1),(26,1),(28,1),(44,1)}
      20:{1,5,6}:{(12,1),(27,1)}
      21:{2,3,4,6}:{(13,1),(14,1),(26,1),(29,1),(33,1),(44,1),(63,1),(65,1)}
      22:{1,2,5}:{(14,1),(29,1),(30,1)}
      23:{3,4,5,6}:{(15,1),(31,1),(33,1),(67,1)}
      24:{1,2,5,6}:{(15,1),(31,1),(32,1),(43,1),(70,1)}
      25:{1,4,6}:{(16,1),(30,1),(33,1),(44,1),(68,1)}
      26:{2,3,6}:{(17,1),(18,1),(19,1)}
      27:{3,5,6}:{(18,1),(20,1),(34,1)}
      28:{1,2,5,6}:{(19,1),(20,1),(22,1),(35,1),(36,1),(71,1)}
      29:{2,3,5}:{(21,1),(22,1),(37,1),(39,1)}
      30:{1,4,5}:{(22,1),(25,1),(37,1),(39,1)}
      31:{2,3,5,6}:{(23,1),(24,1),(40,1),(41,1),(61,1)}
      32:{1,2,4,6}:{(24,1),(25,1),(38,1),(40,1),(41,1),(53,1),(71,1)}
      33:{3,4,6}:{(25,1),(39,1),(41,1),(58,1)}
      34:{4,5,6}:{(27,1),(43,1),(44,1)}
      35:{2,3,5,6}:{(26,1),(27,1),(28,1),(29,1),(43,1),(44,1),(45,1),(63,1)}
      36:{1,4,5,6}:{(28,1),(30,1),(44,1),(45,1),(64,1)}
      37:{4,5}:{(29,1),(44,1)}
      38:{1,2,4,5}:{(30,1),(32,1),(46,1),(48,1),(50,1),(66,1),(68,1),(70,1)}
      39:{3,5}:{(30,1),(33,1)}
      40:{2,4,6}:{(31,1),(50,1)}
      41:{2,3,6}:{(32,1),(33,1),(48,1)}
      42:{1,3,4,6}:{(33,1),(49,1),(52,1),(64,1),(68,1)}
      43:{2,5,6}:{(34,1),(53,1)}
      44:{4,6}:{(35,1),(37,1)}
      45:{3,5,6}:{(36,1),(39,1),(54,1)}
      46:{2,4,5}:{(37,1),(53,1),(56,1)}
      47:{3,4,5}:{(37,1),(39,1),(54,1),(56,1),(57,1),(58,1)}
      48:{2,3,5}:{(38,1),(39,1),(41,1),(58,1)}
      49:{1,3,5}:{(39,1),(42,1),(57,1)}
      50:{2,4,5}:{(40,1),(61,1)}
      51:{2,3,4,6}:{(40,1),(41,1),(58,1),(61,1),(62,1),(74,1)}
      52:{1,2,3,6}:{(41,1),(42,1),(59,1),(62,1),(71,1),(80,1)}
      53:{2,4,6}:{(43,1),(44,1),(46,1),(63,1)}
      54:{3,4,6}:{(44,1),(45,1),(47,1),(63,1),(64,1)}
      55:{1,3,5,6}:{(45,1),(49,1),(64,1)}
      56:{2,3,5}:{(46,1),(47,1),(63,1),(65,1),(66,1)}
      57:{1,4,5}:{(47,1),(49,1),(64,1),(66,1),(68,1)}
      58:{3,4}:{(48,1),(68,1)}
      59:{1,2,3,5}:{(48,1),(49,1),(52,1),(66,1),(68,1),(70,1),(77,1),(78,1)}
      60:{2,4,5,6}:{(50,1),(69,1)}
      61:{2,3,5}:{(50,1),(51,1),(67,1),(70,1)}
      62:{1,2,4,6}:{(51,1),(52,1),(68,1),(70,1),(79,1)}
      63:{2,3,6}:{(53,1),(54,1),(56,1),(71,1)}
      64:{1,4,6}:{(54,1),(55,1),(57,1),(71,1)}
      65:{2,3,4}:{(56,1),(58,1),(72,1)}
      66:{1,2,5}:{(56,1),(57,1),(71,1),(72,1)}
      67:{3,4,5}:{(58,1),(61,1),(74,1),(75,1)}
      68:{1,4}:{(58,1),(59,1)}
      69:{2,3,5,6}:{(60,1),(61,1),(74,1),(76,1)}
      70:{1,2,5}:{(61,1),(62,1),(75,1)}
      71:{1,2,6}:{(63,1),(64,1),(66,1)}
      72:{1,2,4}:{(65,1),(66,1),(68,1),(77,1)}
      73:{1,3,4}:{(68,1),(77,1),(78,1)}
      74:{3,4,6}:{(67,1),(69,1),(79,1)}
      75:{1,4,5}:{(67,1),(68,1),(70,1),(78,1),(79,1)}
      76:{1,2,5,6}:{(69,1),(70,1),(79,1)}
      77:{1,2,3}:{(72,1),(73,1)}
      78:{1,3,5}:{(73,1),(75,1),(80,1)}
      79:{1,4,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

404 :  0:{3,4,5,6}:{(1,1),(2,1),(25,1),(31,1)}
       1:{2,3,5,6}:{(0,1),(6,1),(7,1),(18,1),(22,1)}
       2:{1,4,5,6}:{(0,1),(5,1),(6,1),(21,1),(35,1),(79,1)}
       3:{2,4,5,6}:{(8,1),(14,1)}
       4:{1,3,4,5}:{(10,1),(11,1),(32,1),(52,1)}
       5:{1,3,5,6}:{(2,1),(10,1),(46,1),(74,1)}
       6:{1,2,5,6}:{(1,1),(2,1),(13,1),(27,1),(80,1)}
       7:{2,4,6}:{(1,1),(14,1)}
       8:{2,3,5,6}:{(3,1),(15,1),(16,1),(18,1)}
       9:{2,3,4,6}:{(7,1),(16,1),(17,1),(18,1),(22,1),(45,1)}
      10:{1,3,4,6}:{(4,1),(5,1),(19,1),(21,1),(57,1),(65,1)}
      11:{1,2,3,5}:{(4,1),(19,1),(20,1),(40,1),(41,1)}
      12:{1,2,3,5,6}:{(5,1),(6,1),(19,1),(21,1),(22,1),(38,1),(40,1),(43,1),(61,1),(64,1),(77,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(21,1),(22,1),(23,1),(77,1),(78,1)}
      14:{2,4,5}:{(7,1),(18,1)}
      15:{1,2,5,6}:{(8,1),(24,1),(27,1)}
      16:{3,4,6}:{(8,1),(24,1),(25,1)}
      17:{1,2,4,6}:{(9,1),(24,1),(26,1),(27,1),(49,1)}
      18:{2,3,5}:{(9,1),(14,1),(25,1),(27,1)}
      19:{1,2,3,6}:{(10,1),(11,1),(28,1),(53,1),(68,1)}
      20:{1,2,4}:{(11,1),(29,1)}
      21:{1,4,6}:{(12,1),(31,1),(32,1),(49,1),(73,1)}
      22:{2,3,6}:{(13,1),(31,1),(33,1)}
      23:{1,2,4,5}:{(13,1),(14,1),(27,1),(32,1),(33,1),(49,1),(70,1),(72,1)}
      24:{1,4,6}:{(15,1),(16,1),(34,1),(35,1)}
      25:{3,4,5}:{(16,1),(18,1),(35,1),(45,1)}
      26:{1,2,3,6}:{(17,1),(22,1),(34,1),(37,1),(38,1),(77,1)}
      27:{1,2,5}:{(17,1),(18,1),(35,1)}
      28:{1,2,4,6}:{(19,1),(20,1),(21,1),(39,1),(40,1),(62,1),(77,1)}
      29:{2,3,4}:{(20,1),(41,1)}
      30:{1,2,4,5}:{(20,1),(40,1),(41,1),(42,1),(58,1),(63,1)}
      31:{3,4,6}:{(21,1),(22,1),(43,1),(45,1)}
      32:{1,4,5}:{(21,1),(40,1),(43,1),(63,1)}
      33:{2,3,5}:{(22,1),(23,1),(43,1),(45,1)}
      34:{1,3,6}:{(24,1),(46,1)}
      35:{1,4,5}:{(24,1),(25,1),(27,1),(46,1),(49,1)}
      36:{1,2,3,4}:{(29,1),(47,1)}
      37:{1,3,4,6}:{(26,1),(31,1),(48,1),(49,1),(71,1)}
      38:{1,2,3,5}:{(26,1),(27,1),(33,1),(46,1),(48,1),(49,1),(68,1),(70,1)}
      39:{2,3,4,6}:{(28,1),(29,1),(31,1),(50,1),(53,1),(56,1),(73,1),(75,1)}
      40:{1,2,5}:{(28,1),(32,1),(50,1)}
      41:{2,3,5}:{(29,1),(30,1),(52,1),(53,1)}
      42:{1,2,4,6}:{(30,1),(51,1),(53,1),(69,1),(73,1)}
      43:{3,5}:{(31,1),(32,1)}
      44:{1,4,5,6}:{(32,1),(51,1),(55,1),(71,1),(73,1)}
      45:{3,4}:{(33,1),(49,1)}
      46:{1,3,5}:{(34,1),(35,1),(57,1)}
      47:{1,2,3,5}:{(36,1),(41,1),(58,1),(59,1)}
      48:{1,3,5}:{(37,1),(43,1),(60,1)}
      49:{1,4}:{(38,1),(45,1)}
      50:{2,3,5}:{(39,1),(40,1),(43,1),(63,1)}
      51:{1,2,5,6}:{(40,1),(42,1),(44,1),(64,1),(76,1),(77,1)}
      52:{3,4,5}:{(41,1),(58,1),(63,1),(65,1)}
      53:{2,3,6}:{(41,1),(42,1),(65,1)}
      54:{3,4,5}:{(43,1),(45,1),(60,1),(63,1),(66,1),(67,1)}
      55:{3,5,6}:{(43,1),(44,1),(67,1)}
      56:{2,3,4}:{(45,1),(62,1),(66,1)}
      57:{1,3,4}:{(46,1),(49,1),(68,1)}
      58:{1,4,5}:{(47,1),(52,1),(69,1)}
      59:{1,2,3,6}:{(47,1),(53,1),(69,1)}
      60:{1,4,5}:{(48,1),(49,1),(54,1),(70,1),(71,1)}
      61:{1,3,5,6}:{(48,1),(55,1),(71,1)}
      62:{1,2,4}:{(49,1),(56,1),(68,1),(70,1)}
      63:{4,5}:{(50,1),(73,1)}
      64:{2,3,5,6}:{(50,1),(51,1),(53,1),(55,1),(73,1),(74,1),(75,1),(80,1)}
      65:{3,4,6}:{(52,1),(53,1),(69,1),(73,1),(74,1)}
      66:{2,3,5}:{(54,1),(56,1),(70,1),(72,1),(75,1)}
      67:{3,4,6}:{(54,1),(55,1),(71,1),(73,1),(75,1)}
      68:{1,2,3}:{(57,1),(62,1)}
      69:{1,4,6}:{(58,1),(59,1),(65,1),(76,1)}
      70:{1,2,5}:{(60,1),(62,1),(66,1),(77,1)}
      71:{1,4,6}:{(60,1),(61,1),(67,1),(77,1)}
      72:{2,4,5}:{(63,1),(66,1),(78,1)}
      73:{4,6}:{(63,1),(64,1)}
      74:{3,5,6}:{(65,1),(76,1),(79,1)}
      75:{2,3,6}:{(66,1),(67,1),(77,1),(78,1)}
      76:{1,5,6}:{(69,1),(74,1)}
      77:{1,2,6}:{(70,1),(71,1),(75,1)}
      78:{2,4,6}:{(72,1),(73,1),(75,1),(80,1)}
      79:{4,5,6}:{(73,1),(74,1),(80,1)}
      80:{2,5,6}:{(78,1),(79,1)}

405 :  0:{2,4,5}:{(2,1),(3,1),(39,1)}
       1:{4,5,6}:{(5,1),(6,1),(27,1),(75,1)}
       2:{2,4,6}:{(0,1),(5,1),(7,1),(27,1),(77,1)}
       3:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(29,1)}
       4:{3,4,5}:{(11,1),(12,1),(13,1),(39,1),(54,1),(60,1),(70,1),(73,1)}
       5:{2,5,6}:{(1,1),(2,1),(78,1)}
       6:{3,5,6}:{(1,1),(11,1),(15,1),(70,1)}
       7:{2,3,6}:{(2,1),(3,1),(16,1),(17,1),(74,1)}
       8:{1,2,5}:{(3,1),(16,1),(18,1),(41,1)}
       9:{3,4}:{(3,1),(18,1)}
      10:{1,3,4}:{(19,1),(20,1),(43,1),(68,1)}
      11:{3,4,6}:{(4,1),(6,1),(22,1),(23,1),(27,1),(50,1)}
      12:{2,3,5}:{(4,1),(22,1),(24,1),(25,1),(48,1),(49,1)}
      13:{1,4,5}:{(4,1),(19,1),(23,1),(24,1),(43,1),(63,1)}
      14:{2,3,5,6}:{(5,1),(6,1),(7,1),(22,1),(26,1),(27,1),(29,1),(48,1),(50,1),(67,1)}
      15:{1,5,6}:{(6,1),(23,1),(63,1)}
      16:{1,2,6}:{(7,1),(8,1),(28,1),(69,1)}
      17:{3,4,6}:{(7,1),(9,1),(27,1),(28,1),(29,1),(50,1),(68,1)}
      18:{1,4}:{(8,1),(9,1),(30,1)}
      19:{1,3,5}:{(10,1),(13,1),(31,1),(60,1)}
      20:{1,2,3}:{(10,1),(33,1),(74,1)}
      21:{2,3,4}:{(33,1),(34,1),(54,1)}
      22:{2,3,6}:{(11,1),(12,1),(35,1),(36,1)}
      23:{1,4,6}:{(11,1),(13,1),(15,1),(31,1),(35,1)}
      24:{1,2,5}:{(12,1),(13,1),(35,1),(37,1)}
      25:{2,4}:{(12,1),(73,1)}
      26:{1,2,5,6}:{(14,1),(15,1),(16,1),(35,1),(38,1),(41,1),(59,1)}
      27:{4,6}:{(14,1),(39,1),(73,1)}
      28:{1,4,6}:{(16,1),(17,1),(18,1),(40,1),(41,1),(61,1)}
      29:{3,5}:{(17,1),(39,1),(41,1)}
      30:{1,3}:{(18,1)}
      31:{1,3,6}:{(19,1),(23,1),(50,1)}
      32:{1,2,3,5}:{(19,1),(20,1),(24,1),(42,1),(43,1),(45,1),(49,1),(63,1),(65,1),(67,1)}
      33:{1,2,4}:{(20,1),(21,1),(43,1),(45,1),(77,1)}
      34:{2,3,5}:{(21,1),(44,1),(45,1),(46,1),(65,1)}
      35:{1,2,6}:{(22,1),(23,1),(24,1)}
      36:{2,4,6}:{(22,1),(25,1),(27,1),(48,1)}
      37:{1,2,4}:{(24,1),(25,1),(43,1),(49,1)}
      38:{1,4,6}:{(26,1),(27,1),(50,1),(51,1)}
      39:{4,5}:{(27,1),(29,1),(48,1)}
      40:{1,3,6}:{(28,1),(30,1),(50,1),(52,1)}
      41:{1,5}:{(28,1),(29,1)}
      42:{1,2,3,6}:{(31,1),(32,1),(35,1),(53,1),(57,1),(58,1),(72,1)}
      43:{1,4}:{(32,1),(54,1),(73,1)}
      44:{4,5}:{(34,1),(56,1)}
      45:{1,2,5}:{(33,1),(34,1),(55,1),(57,1),(78,1)}
      46:{2,3,6}:{(34,1),(56,1),(57,1),(72,1)}
      47:{1,2,4,6}:{(35,1),(36,1),(37,1),(38,1),(53,1),(58,1),(59,1),(73,1)}
      48:{2,5}:{(36,1),(39,1)}
      49:{2,3}:{(37,1),(54,1)}
      50:{3,6}:{(38,1),(60,1)}
      51:{1,4,5}:{(38,1),(39,1),(41,1),(59,1),(60,1),(61,1),(73,1)}
      52:{1,3,5}:{(40,1),(41,1),(60,1),(61,1)}
      53:{1,4,6}:{(42,1),(43,1),(62,1),(63,1)}
      54:{3,4}:{(43,1),(49,1),(65,1)}
      55:{1,4,5}:{(43,1),(44,1),(45,1),(63,1),(65,1),(66,1),(75,1)}
      56:{4,6}:{(44,1),(46,1),(64,1)}
      57:{1,2,6}:{(45,1),(46,1),(66,1),(80,1)}
      58:{2,3,6}:{(47,1),(49,1),(50,1),(62,1),(67,1),(80,1)}
      59:{1,2,5}:{(47,1),(48,1),(51,1),(63,1),(67,1),(69,1)}
      60:{3,5}:{(50,1),(51,1),(68,1)}
      61:{1,4}:{(52,1),(68,1),(69,1)}
      62:{3,4,6}:{(53,1),(54,1),(58,1),(70,1),(72,1),(73,1),(79,1)}
      63:{1,5}:{(53,1),(70,1)}
      64:{5,6}:{(56,1)}
      65:{3,5}:{(54,1),(55,1),(72,1)}
      66:{1,4,6}:{(55,1),(56,1),(57,1),(71,1),(72,1),(79,1)}
      67:{2,3,5}:{(58,1),(59,1),(60,1),(70,1),(73,1),(74,1),(78,1)}
      68:{3,4}:{(60,1),(61,1),(73,1),(74,1)}
      69:{1,2}:{(61,1),(74,1)}
      70:{3,5}:{(62,1),(63,1),(75,1)}
      71:{1,5,6}:{(63,1),(64,1),(66,1),(76,1)}
      72:{3,6}:{(65,1),(66,1)}
      73:{4}:{(67,1)}
      74:{2,3}:{(68,1),(69,1),(77,1)}
      75:{4,5}:{(70,1),(73,1),(78,1),(79,1)}
      76:{3,5,6}:{(70,1),(71,1),(72,1),(79,1)}
      77:{2,4}:{(73,1),(74,1),(78,1)}
      78:{2,5}:{(75,1),(77,1),(80,1)}
      79:{4,6}:{(75,1),(76,1),(80,1)}
      80:{2,6}:{(78,1),(79,1)}

406 :  0:{1,3,4,5}:{(1,1),(2,1),(26,1),(29,1)}
       1:{1,3,4,6}:{(0,1),(4,1),(5,1),(16,1),(43,1),(76,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(18,1),(19,1)}
       3:{3,4,5,6}:{(7,1),(8,1),(25,1),(45,1)}
       4:{1,3,5,6}:{(1,1),(8,1),(55,1),(68,1)}
       5:{1,2,3,6}:{(1,1),(2,1),(10,1),(30,1),(80,1)}
       6:{1,2,4}:{(2,1),(11,1)}
       7:{2,3,5,6}:{(3,1),(14,1),(15,1),(34,1),(35,1)}
       8:{1,4,5,6}:{(3,1),(4,1),(14,1),(16,1),(57,1),(67,1)}
       9:{1,2,3,5,6}:{(4,1),(5,1),(14,1),(16,1),(18,1),(35,1),(39,1),(42,1),(59,1),(63,1),(79,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(16,1),(17,1),(18,1),(78,1),(79,1)}
      11:{2,3,4}:{(6,1),(19,1)}
      12:{1,2,4,5}:{(6,1),(18,1),(19,1),(20,1),(31,1),(41,1)}
      13:{1,2,3,4}:{(11,1),(21,1)}
      14:{1,2,5,6}:{(7,1),(8,1),(23,1),(47,1),(75,1)}
      15:{2,4,6}:{(7,1),(24,1)}
      16:{1,4,6}:{(9,1),(25,1),(26,1),(54,1),(70,1)}
      17:{2,3,4,6}:{(10,1),(11,1),(25,1),(27,1),(30,1),(54,1),(71,1),(74,1)}
      18:{1,2,5}:{(10,1),(26,1),(27,1)}
      19:{2,3,5}:{(11,1),(12,1),(29,1),(30,1)}
      20:{1,2,4,6}:{(12,1),(28,1),(30,1),(44,1),(54,1)}
      21:{1,2,3,5}:{(13,1),(19,1),(31,1),(32,1)}
      22:{2,3,4,6}:{(15,1),(33,1),(34,1),(35,1),(58,1),(61,1)}
      23:{1,2,4,6}:{(14,1),(15,1),(16,1),(35,1),(36,1),(66,1),(79,1)}
      24:{2,4,5}:{(15,1),(34,1)}
      25:{3,4,6}:{(16,1),(35,1),(39,1),(61,1)}
      26:{1,4,5}:{(16,1),(18,1),(39,1),(41,1)}
      27:{2,3,5}:{(17,1),(18,1),(39,1),(41,1)}
      28:{1,2,5,6}:{(18,1),(20,1),(40,1),(42,1),(56,1),(79,1)}
      29:{3,4,5}:{(19,1),(31,1),(41,1),(43,1)}
      30:{2,3,6}:{(19,1),(20,1),(43,1)}
      31:{1,4,5}:{(21,1),(29,1),(44,1)}
      32:{1,2,3,6}:{(21,1),(30,1),(44,1)}
      33:{1,2,4,6}:{(22,1),(46,1),(47,1),(69,1),(70,1)}
      34:{2,3,5}:{(22,1),(24,1),(45,1),(47,1)}
      35:{2,3,6}:{(23,1),(25,1),(49,1)}
      36:{1,2,4,5}:{(23,1),(24,1),(26,1),(47,1),(49,1),(53,1),(70,1),(72,1)}
      37:{2,4,5,6}:{(24,1),(48,1)}
      38:{1,3,4,6}:{(25,1),(46,1),(50,1),(70,1),(73,1)}
      39:{3,5}:{(25,1),(26,1)}
      40:{1,4,5,6}:{(26,1),(28,1),(52,1),(54,1),(73,1)}
      41:{4,5}:{(27,1),(54,1)}
      42:{2,3,5,6}:{(27,1),(28,1),(30,1),(52,1),(54,1),(55,1),(74,1),(75,1)}
      43:{3,4,6}:{(29,1),(30,1),(44,1),(54,1),(55,1)}
      44:{1,4,6}:{(31,1),(32,1),(43,1),(56,1)}
      45:{3,4,5}:{(34,1),(57,1),(58,1),(61,1)}
      46:{1,2,3,6}:{(33,1),(35,1),(38,1),(59,1),(77,1),(79,1)}
      47:{1,2,5}:{(33,1),(34,1),(57,1)}
      48:{2,3,5,6}:{(34,1),(37,1),(58,1),(60,1)}
      49:{2,3,5}:{(35,1),(36,1),(39,1),(61,1)}
      50:{1,3,5}:{(38,1),(39,1),(62,1)}
      51:{3,4,5}:{(39,1),(41,1),(61,1),(62,1),(64,1),(65,1)}
      52:{3,5,6}:{(39,1),(40,1),(65,1)}
      53:{2,4,5}:{(41,1),(64,1),(66,1)}
      54:{4,6}:{(41,1),(42,1)}
      55:{3,5,6}:{(43,1),(56,1),(67,1)}
      56:{1,5,6}:{(44,1),(55,1)}
      57:{1,4,5}:{(45,1),(47,1),(68,1),(69,1),(70,1)}
      58:{3,4,6}:{(45,1),(48,1),(69,1)}
      59:{1,2,3,5}:{(46,1),(47,1),(49,1),(50,1),(68,1),(70,1),(72,1),(80,1)}
      60:{1,2,5,6}:{(47,1),(48,1),(69,1)}
      61:{3,4}:{(49,1),(70,1)}
      62:{1,4,5}:{(50,1),(51,1),(70,1),(72,1),(73,1)}
      63:{1,3,5,6}:{(50,1),(52,1),(73,1)}
      64:{2,3,5}:{(51,1),(53,1),(71,1),(72,1),(74,1)}
      65:{3,4,6}:{(51,1),(52,1),(54,1),(73,1),(74,1)}
      66:{2,4,6}:{(53,1),(54,1),(74,1),(75,1)}
      67:{4,5,6}:{(54,1),(55,1),(75,1)}
      68:{1,3,5}:{(57,1),(76,1),(77,1)}
      69:{1,4,6}:{(57,1),(58,1),(60,1),(77,1)}
      70:{1,4}:{(59,1),(61,1)}
      71:{2,3,4}:{(61,1),(64,1),(78,1)}
      72:{1,2,5}:{(62,1),(64,1),(78,1),(79,1)}
      73:{1,4,6}:{(62,1),(63,1),(65,1),(79,1)}
      74:{2,3,6}:{(64,1),(65,1),(66,1),(79,1)}
      75:{2,5,6}:{(66,1),(67,1)}
      76:{1,3,4}:{(68,1),(70,1),(80,1)}
      77:{1,3,6}:{(68,1),(69,1)}
      78:{1,2,4}:{(70,1),(71,1),(72,1),(80,1)}
      79:{1,2,6}:{(72,1),(73,1),(74,1)}
      80:{1,2,3}:{(76,1),(78,1)}

407 :  0:{2,4,5,6}:{(1,1),(12,1)}
       1:{2,3,5,6}:{(0,1),(2,1),(3,1),(8,1)}
       2:{1,2,5,6}:{(1,1),(5,1),(14,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(9,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,6}:{(5,1),(16,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(44,1)}
      12:{2,4,5}:{(8,1),(20,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(18,1),(21,1),(35,1),(50,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(23,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1),(74,1)}
      18:{1,3,4,6}:{(13,1),(25,1),(28,1),(42,1),(44,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(41,1),(46,1),(56,1)}
      20:{2,4,6}:{(12,1),(15,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(25,1),(26,1),(28,1),(30,1),(41,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1),(69,1)}
      23:{1,3,4}:{(16,1),(28,1),(30,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(78,1)}
      25:{1,3,5}:{(18,1),(32,1),(53,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(53,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1),(50,1),(63,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(33,1),(35,1),(37,1),(38,1),(50,1),(53,1),(54,1),(64,1)}
      30:{1,2,3}:{(23,1),(36,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(39,1),(75,1)}
      32:{1,4,5}:{(25,1),(28,1),(40,1),(41,1),(42,1)}
      33:{1,3,5,6}:{(25,1),(42,1),(58,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(44,1)}
      36:{1,2,4}:{(28,1),(30,1),(41,1),(43,1)}
      37:{1,4,6}:{(28,1),(29,1),(44,1),(46,1),(70,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(45,1),(47,1),(71,1)}
      39:{1,3,4,5}:{(31,1),(46,1),(47,1),(72,1)}
      40:{3,4,5}:{(32,1),(34,1),(48,1),(49,1),(53,1),(66,1)}
      41:{1,2,5}:{(32,1),(36,1),(48,1),(50,1)}
      42:{1,4,6}:{(32,1),(33,1),(49,1),(50,1)}
      43:{2,3,4}:{(34,1),(36,1),(48,1)}
      44:{3,4,6}:{(34,1),(35,1),(37,1),(53,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1),(54,1),(55,1)}
      46:{1,4,5}:{(37,1),(53,1),(54,1),(66,1)}
      47:{1,2,3,5}:{(38,1),(39,1),(54,1),(55,1),(67,1)}
      48:{2,3,5}:{(40,1),(41,1),(43,1),(56,1),(57,1)}
      49:{3,4,6}:{(40,1),(42,1),(57,1),(58,1),(70,1)}
      50:{1,2,6}:{(41,1),(42,1),(57,1)}
      51:{1,4,5,6}:{(42,1),(46,1),(58,1),(59,1),(70,1)}
      52:{2,3,4,6}:{(43,1),(44,1),(45,1),(57,1),(60,1),(62,1),(70,1),(71,1)}
      53:{3,5}:{(44,1),(46,1)}
      54:{1,2,5}:{(45,1),(46,1),(60,1)}
      55:{1,2,4}:{(47,1),(62,1)}
      56:{2,4,5}:{(48,1),(63,1),(66,1)}
      57:{2,3,6}:{(48,1),(49,1),(50,1),(63,1)}
      58:{3,5,6}:{(49,1),(51,1),(53,1)}
      59:{1,2,5,6}:{(50,1),(51,1),(54,1),(64,1),(65,1),(80,1)}
      60:{2,3,5}:{(52,1),(53,1),(54,1),(66,1)}
      61:{1,2,4,5}:{(54,1),(55,1),(65,1),(66,1),(67,1),(77,1)}
      62:{2,3,4}:{(55,1),(67,1)}
      63:{2,4,6}:{(56,1),(57,1),(69,1),(70,1)}
      64:{2,3,5,6}:{(57,1),(58,1),(59,1),(60,1),(69,1),(70,1),(71,1),(78,1)}
      65:{1,2,4,6}:{(59,1),(61,1),(70,1),(71,1),(79,1)}
      66:{4,5}:{(60,1),(70,1)}
      67:{2,3,5}:{(61,1),(62,1),(71,1),(72,1)}
      68:{1,2,3,4}:{(62,1),(73,1)}
      69:{2,5,6}:{(63,1),(74,1)}
      70:{4,6}:{(64,1),(66,1)}
      71:{2,3,6}:{(65,1),(67,1),(75,1)}
      72:{3,4,5}:{(66,1),(67,1),(75,1),(77,1)}
      73:{1,2,3,5}:{(67,1),(68,1),(76,1),(77,1)}
      74:{4,5,6}:{(69,1),(70,1),(78,1)}
      75:{3,4,6}:{(70,1),(71,1),(72,1),(78,1),(79,1)}
      76:{1,2,3,6}:{(71,1),(73,1),(79,1)}
      77:{1,4,5}:{(72,1),(73,1),(79,1)}
      78:{3,5,6}:{(74,1),(75,1),(80,1)}
      79:{1,4,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{1,5,6}:{(78,1),(79,1)}

408 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

409 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{1,4,5}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{3,4,6}:{(1,1),(6,1),(7,1),(12,1)}
       5:{1,2,5}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{2,3,6}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{1,2,4}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{2,4,6}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,3}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,5}:{(10,1),(16,1)}
      14:{1,2,3}:{(11,1),(18,1)}
      15:{3,4}:{(11,1),(12,1),(18,1),(19,1)}
      16:{4,5}:{(12,1),(13,1),(19,1),(20,1)}
      17:{2,5,6}:{(13,1),(20,1)}
      18:{1,4}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{4,6}:{(16,1),(17,1),(22,1)}
      21:{1,5}:{(18,1),(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

410 :  0:{2,4,5,6}:{(1,1),(20,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(4,1),(14,1)}
       2:{3,4,5,6}:{(5,1),(6,1),(9,1),(34,1)}
       3:{1,2,5,6}:{(1,1),(8,1),(22,1)}
       4:{3,4,6}:{(1,1),(8,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(11,1),(12,1),(14,1),(27,1)}
       6:{1,4,5,6}:{(2,1),(10,1),(11,1),(16,1),(26,1),(76,1)}
       7:{2,3,4,6}:{(4,1),(12,1),(13,1),(14,1),(27,1),(45,1)}
       8:{1,4,6}:{(3,1),(4,1),(15,1),(16,1)}
       9:{3,4,5}:{(4,1),(14,1),(16,1),(45,1)}
      10:{1,3,5,6}:{(6,1),(17,1),(23,1),(78,1)}
      11:{1,2,5,6}:{(5,1),(6,1),(19,1),(22,1),(79,1)}
      12:{2,4,6}:{(5,1),(20,1)}
      13:{1,2,4,6}:{(7,1),(8,1),(21,1),(22,1),(38,1)}
      14:{2,3,5}:{(7,1),(9,1),(20,1),(22,1)}
      15:{1,3,6}:{(8,1),(23,1)}
      16:{1,4,5}:{(8,1),(9,1),(22,1),(23,1),(38,1)}
      17:{1,3,4,6}:{(10,1),(24,1),(25,1),(26,1),(31,1),(74,1)}
      18:{1,2,3,5,6}:{(10,1),(11,1),(25,1),(26,1),(27,1),(30,1),(42,1),(43,1),(47,1),(62,1),(65,1)}
      19:{1,2,4,6}:{(11,1),(12,1),(26,1),(27,1),(28,1),(65,1),(75,1)}
      20:{2,4,5}:{(12,1),(14,1)}
      21:{1,2,3,6}:{(13,1),(15,1),(27,1),(29,1),(30,1),(65,1)}
      22:{1,2,5}:{(13,1),(14,1),(16,1)}
      23:{1,3,5}:{(15,1),(16,1),(31,1)}
      24:{1,3,4,5}:{(17,1),(32,1),(35,1),(67,1)}
      25:{1,2,3,6}:{(17,1),(32,1),(33,1),(39,1),(68,1)}
      26:{1,4,6}:{(18,1),(34,1),(35,1),(38,1),(70,1)}
      27:{2,3,6}:{(19,1),(34,1),(36,1)}
      28:{1,2,4,5}:{(19,1),(20,1),(22,1),(35,1),(36,1),(38,1),(56,1),(69,1)}
      29:{1,3,4,6}:{(21,1),(34,1),(37,1),(38,1),(57,1)}
      30:{1,2,3,5}:{(21,1),(22,1),(23,1),(36,1),(37,1),(38,1),(39,1),(56,1)}
      31:{1,3,4}:{(23,1),(38,1),(39,1)}
      32:{1,2,3,5}:{(24,1),(25,1),(40,1),(42,1),(59,1)}
      33:{1,2,4,6}:{(25,1),(26,1),(40,1),(41,1),(42,1),(48,1),(65,1)}
      34:{3,4,6}:{(26,1),(27,1),(43,1),(45,1)}
      35:{1,4,5}:{(26,1),(42,1),(43,1),(61,1)}
      36:{2,3,5}:{(27,1),(28,1),(43,1),(45,1)}
      37:{1,3,5}:{(29,1),(43,1),(46,1)}
      38:{1,4}:{(30,1),(45,1)}
      39:{1,2,3}:{(31,1),(48,1)}
      40:{1,2,4}:{(32,1),(49,1)}
      41:{2,3,4,6}:{(33,1),(34,1),(49,1),(51,1),(55,1),(68,1),(70,1),(71,1)}
      42:{1,2,5}:{(33,1),(35,1),(51,1)}
      43:{3,5}:{(34,1),(35,1)}
      44:{1,4,5,6}:{(35,1),(52,1),(54,1),(57,1),(70,1)}
      45:{3,4}:{(36,1),(38,1)}
      46:{1,4,5}:{(37,1),(38,1),(53,1),(56,1),(57,1)}
      47:{1,3,5,6}:{(37,1),(54,1),(57,1)}
      48:{1,2,4}:{(38,1),(39,1),(55,1),(56,1)}
      49:{2,3,4}:{(40,1),(59,1)}
      50:{1,2,4,5}:{(40,1),(42,1),(59,1),(60,1),(61,1),(72,1)}
      51:{2,3,5}:{(41,1),(42,1),(43,1),(61,1)}
      52:{1,2,5,6}:{(42,1),(44,1),(60,1),(62,1),(65,1),(80,1)}
      53:{3,4,5}:{(43,1),(45,1),(46,1),(61,1),(63,1),(64,1)}
      54:{3,5,6}:{(43,1),(44,1),(64,1)}
      55:{2,3,4}:{(45,1),(48,1),(63,1)}
      56:{1,2,5}:{(46,1),(48,1),(63,1),(65,1)}
      57:{1,4,6}:{(46,1),(47,1),(64,1),(65,1)}
      58:{1,2,3,4}:{(49,1),(66,1)}
      59:{2,3,5}:{(49,1),(50,1),(67,1),(68,1)}
      60:{1,2,4,6}:{(50,1),(52,1),(68,1),(70,1),(77,1)}
      61:{4,5}:{(51,1),(70,1)}
      62:{2,3,5,6}:{(51,1),(52,1),(54,1),(68,1),(70,1),(71,1),(78,1),(79,1)}
      63:{2,3,5}:{(53,1),(55,1),(56,1),(69,1),(71,1)}
      64:{3,4,6}:{(53,1),(54,1),(57,1),(70,1),(71,1)}
      65:{1,2,6}:{(56,1),(57,1),(71,1)}
      66:{1,2,3,5}:{(58,1),(59,1),(72,1),(73,1)}
      67:{3,4,5}:{(59,1),(61,1),(72,1),(74,1)}
      68:{2,3,6}:{(59,1),(60,1),(74,1)}
      69:{2,4,5}:{(61,1),(63,1),(75,1)}
      70:{4,6}:{(61,1),(62,1)}
      71:{2,3,6}:{(63,1),(64,1),(65,1),(75,1)}
      72:{1,4,5}:{(66,1),(67,1),(77,1)}
      73:{1,2,3,6}:{(66,1),(68,1),(77,1)}
      74:{3,4,6}:{(67,1),(68,1),(70,1),(77,1),(78,1)}
      75:{2,4,6}:{(69,1),(70,1),(71,1),(79,1)}
      76:{4,5,6}:{(70,1),(78,1),(79,1)}
      77:{1,4,6}:{(72,1),(73,1),(74,1),(80,1)}
      78:{3,5,6}:{(74,1),(76,1),(80,1)}
      79:{2,5,6}:{(75,1),(76,1)}
      80:{1,5,6}:{(77,1),(78,1)}

411 :  0:{3,4,5,6}:{(2,1),(3,1),(29,1),(33,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(34,1),(39,1)}
       2:{2,3,5,6}:{(0,1),(7,1),(8,1),(19,1),(21,1)}
       3:{1,4,5,6}:{(0,1),(6,1),(7,1),(20,1),(42,1),(73,1)}
       4:{1,3,4,6}:{(1,1),(6,1),(9,1),(20,1),(53,1),(67,1)}
       5:{1,2,3,5}:{(1,1),(9,1),(10,1),(25,1),(27,1)}
       6:{1,3,5,6}:{(3,1),(4,1),(55,1),(64,1)}
       7:{1,2,5,6}:{(2,1),(3,1),(13,1),(31,1),(79,1)}
       8:{2,4,6}:{(2,1),(14,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(15,1),(40,1),(77,1)}
      10:{1,2,4}:{(5,1),(16,1)}
      11:{2,3,4,6}:{(8,1),(18,1),(19,1),(21,1),(43,1),(48,1)}
      12:{1,2,3,5,6}:{(6,1),(7,1),(9,1),(20,1),(21,1),(25,1),(44,1),(46,1),(50,1),(66,1),(80,1)}
      13:{1,2,4,6}:{(7,1),(8,1),(20,1),(21,1),(22,1),(72,1),(80,1)}
      14:{2,4,5}:{(8,1),(19,1)}
      15:{1,2,4,6}:{(9,1),(10,1),(20,1),(24,1),(25,1),(69,1),(80,1)}
      16:{2,3,4}:{(10,1),(27,1)}
      17:{1,2,4,5}:{(10,1),(25,1),(27,1),(28,1),(49,1),(51,1)}
      18:{1,2,4,6}:{(11,1),(30,1),(31,1),(56,1),(57,1)}
      19:{2,3,5}:{(11,1),(14,1),(29,1),(31,1)}
      20:{1,4,6}:{(12,1),(33,1),(34,1),(57,1),(62,1)}
      21:{2,3,6}:{(13,1),(33,1),(35,1)}
      22:{1,2,4,5}:{(13,1),(14,1),(31,1),(34,1),(35,1),(57,1),(61,1),(75,1)}
      23:{2,4,5,6}:{(14,1),(32,1)}
      24:{2,3,4,6}:{(15,1),(16,1),(33,1),(36,1),(40,1),(60,1),(62,1),(78,1)}
      25:{1,2,5}:{(15,1),(34,1),(36,1)}
      26:{1,2,3,4}:{(16,1),(38,1)}
      27:{2,3,5}:{(16,1),(17,1),(39,1),(40,1)}
      28:{1,2,4,6}:{(17,1),(37,1),(40,1),(62,1),(63,1)}
      29:{3,4,5}:{(19,1),(42,1),(43,1),(48,1)}
      30:{1,2,3,6}:{(18,1),(21,1),(41,1),(44,1),(68,1),(80,1)}
      31:{1,2,5}:{(18,1),(19,1),(42,1)}
      32:{2,3,5,6}:{(19,1),(23,1),(43,1),(45,1)}
      33:{3,4,6}:{(20,1),(21,1),(46,1),(48,1)}
      34:{1,4,5}:{(20,1),(25,1),(46,1),(49,1)}
      35:{2,3,5}:{(21,1),(22,1),(46,1),(48,1)}
      36:{2,3,5}:{(24,1),(25,1),(46,1),(49,1)}
      37:{1,2,5,6}:{(25,1),(28,1),(47,1),(50,1),(74,1),(80,1)}
      38:{1,2,3,5}:{(26,1),(27,1),(51,1),(52,1)}
      39:{3,4,5}:{(27,1),(49,1),(51,1),(53,1)}
      40:{2,3,6}:{(27,1),(28,1),(53,1)}
      41:{1,3,4,6}:{(30,1),(33,1),(54,1),(57,1),(76,1)}
      42:{1,4,5}:{(29,1),(31,1),(55,1),(56,1),(57,1)}
      43:{3,4,6}:{(29,1),(32,1),(56,1)}
      44:{1,2,3,5}:{(30,1),(31,1),(35,1),(54,1),(55,1),(57,1),(75,1),(77,1)}
      45:{1,2,5,6}:{(31,1),(32,1),(56,1)}
      46:{3,5}:{(33,1),(34,1)}
      47:{1,4,5,6}:{(34,1),(37,1),(59,1),(62,1),(76,1)}
      48:{3,4}:{(35,1),(57,1)}
      49:{4,5}:{(36,1),(62,1)}
      50:{2,3,5,6}:{(36,1),(37,1),(40,1),(59,1),(62,1),(64,1),(78,1),(79,1)}
      51:{1,4,5}:{(38,1),(39,1),(63,1)}
      52:{1,2,3,6}:{(38,1),(40,1),(63,1)}
      53:{3,4,6}:{(39,1),(40,1),(62,1),(63,1),(64,1)}
      54:{1,3,5}:{(41,1),(46,1),(65,1)}
      55:{1,3,5}:{(42,1),(67,1),(68,1)}
      56:{1,4,6}:{(42,1),(43,1),(45,1),(68,1)}
      57:{1,4}:{(44,1),(48,1)}
      58:{3,4,5}:{(46,1),(48,1),(49,1),(65,1),(70,1),(71,1)}
      59:{3,5,6}:{(46,1),(47,1),(71,1)}
      60:{2,3,4}:{(48,1),(69,1),(70,1)}
      61:{2,4,5}:{(49,1),(70,1),(72,1)}
      62:{4,6}:{(49,1),(50,1)}
      63:{1,4,6}:{(51,1),(52,1),(53,1),(74,1)}
      64:{3,5,6}:{(53,1),(73,1),(74,1)}
      65:{1,4,5}:{(54,1),(57,1),(58,1),(75,1),(76,1)}
      66:{1,3,5,6}:{(54,1),(59,1),(76,1)}
      67:{1,3,4}:{(55,1),(57,1),(77,1)}
      68:{1,3,6}:{(55,1),(56,1)}
      69:{1,2,4}:{(57,1),(60,1),(75,1),(77,1)}
      70:{2,3,5}:{(58,1),(60,1),(61,1),(75,1),(78,1)}
      71:{3,4,6}:{(58,1),(59,1),(62,1),(76,1),(78,1)}
      72:{2,4,6}:{(61,1),(62,1),(78,1),(79,1)}
      73:{4,5,6}:{(62,1),(64,1),(79,1)}
      74:{1,5,6}:{(63,1),(64,1)}
      75:{1,2,5}:{(65,1),(69,1),(70,1),(80,1)}
      76:{1,4,6}:{(65,1),(66,1),(71,1),(80,1)}
      77:{1,2,3}:{(67,1),(69,1)}
      78:{2,3,6}:{(70,1),(71,1),(72,1),(80,1)}
      79:{2,5,6}:{(72,1),(73,1)}
      80:{1,2,6}:{(75,1),(76,1),(78,1)}

412 :  0:{1,2,3,4,6}:{(1,1),(6,1),(14,1),(15,1),(27,1),(43,1),(54,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(8,1),(34,1),(50,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(15,1),(16,1),(17,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(36,1),(50,1),(57,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(19,1),(34,1),(36,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(42,1),(56,1),(59,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,4,5,6}:{(6,1),(16,1),(17,1),(30,1),(42,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(19,1),(20,1),(34,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(20,1),(21,1),(35,1)}
      14:{2,3,4}:{(8,1),(19,1),(57,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(50,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(34,1)}
      18:{3,4,5,6}:{(16,1),(25,1),(26,1),(30,1),(43,1),(44,1)}
      19:{1,2,4}:{(12,1),(14,1),(59,1)}
      20:{1,2,3,6}:{(12,1),(13,1),(15,1),(27,1)}
      21:{1,3,5,6}:{(13,1),(16,1),(25,1),(56,1)}
      22:{2,3,4,6}:{(14,1),(15,1),(27,1),(29,1),(30,1),(43,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(29,1),(30,1)}
      24:{1,2,4,5,6}:{(17,1),(30,1),(31,1),(39,1),(40,1),(42,1),(45,1),(55,1)}
      25:{1,4,5,6}:{(18,1),(21,1),(32,1),(35,1),(52,1)}
      26:{2,3,5,6}:{(18,1),(32,1),(33,1),(47,1),(48,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(34,1),(35,1)}
      28:{1,2,3,5,6}:{(20,1),(21,1),(23,1),(32,1),(34,1),(35,1),(47,1),(50,1),(58,1)}
      29:{2,3,5}:{(22,1),(34,1),(36,1),(50,1)}
      30:{4,6}:{(23,1),(36,1)}
      31:{2,3,5,6}:{(24,1),(37,1),(47,1),(48,1),(50,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(39,1),(55,1)}
      33:{2,4,6}:{(26,1),(30,1),(40,1)}
      34:{1,2,5}:{(27,1),(29,1),(42,1)}
      35:{1,4,6}:{(28,1),(30,1),(42,1),(43,1),(59,1)}
      36:{4,5}:{(29,1),(30,1)}
      37:{3,4,6}:{(30,1),(31,1),(44,1),(45,1)}
      38:{1,2,3,5,6}:{(31,1),(45,1),(54,1),(55,1),(56,1)}
      39:{1,2,4,6}:{(32,1),(33,1),(35,1),(46,1),(47,1)}
      40:{2,4,5}:{(33,1),(36,1),(48,1)}
      41:{2,3,4,6}:{(33,1),(37,1),(47,1),(48,1),(49,1),(57,1)}
      42:{1,4,5}:{(34,1),(35,1),(36,1),(50,1)}
      43:{3,4,6}:{(35,1),(47,1),(50,1),(57,1)}
      44:{3,4,5}:{(36,1),(37,1),(48,1),(50,1),(52,1),(57,1)}
      45:{1,4,6}:{(37,1),(38,1),(52,1)}
      46:{1,2,4,5}:{(39,1),(40,1),(42,1),(53,1),(55,1),(59,1)}
      47:{2,3,6}:{(39,1),(43,1),(53,1)}
      48:{2,3,5}:{(40,1),(41,1),(44,1),(55,1)}
      49:{1,2,4,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{3,5}:{(42,1),(43,1)}
      51:{1,3,4,6}:{(43,1),(45,1),(54,1),(56,1),(59,1)}
      52:{1,4,5}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      53:{2,3,5}:{(46,1),(47,1),(50,1),(57,1)}
      54:{1,2,3,6}:{(47,1),(49,1),(51,1),(58,1)}
      55:{1,2,5}:{(48,1),(49,1),(52,1)}
      56:{1,3,5}:{(50,1),(51,1),(52,1)}
      57:{3,4}:{(53,1),(59,1)}
      58:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

413 :  0:{1,2,3,4}:{(1,1),(14,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1),(8,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1)}
       3:{1,2,3,6}:{(1,1),(6,1),(15,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(36,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(18,1),(33,1),(36,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(11,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(41,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,5,6}:{(6,1),(16,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(18,1),(19,1),(33,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(19,1),(20,1),(35,1),(77,1)}
      14:{2,3,4}:{(8,1),(18,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(22,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(24,1),(33,1),(55,1)}
      18:{1,2,4}:{(12,1),(14,1)}
      19:{1,2,3,6}:{(12,1),(13,1),(15,1),(25,1),(73,1)}
      20:{1,3,5,6}:{(13,1),(16,1),(26,1),(79,1)}
      21:{2,3,4,6}:{(14,1),(15,1),(25,1),(28,1),(30,1),(43,1),(46,1),(61,1)}
      22:{4,5,6}:{(16,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(28,1),(29,1),(30,1),(31,1),(46,1)}
      24:{1,4,5,6}:{(17,1),(30,1),(31,1),(41,1),(47,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(33,1),(35,1),(55,1),(68,1)}
      26:{1,4,5,6}:{(20,1),(22,1),(32,1),(34,1),(35,1),(76,1)}
      27:{1,2,3,5,6}:{(19,1),(20,1),(23,1),(33,1),(34,1),(35,1),(39,1),(50,1),(51,1),(55,1),(67,1)}
      28:{2,3,5}:{(21,1),(33,1),(36,1),(50,1)}
      29:{2,5,6}:{(22,1),(37,1)}
      30:{4,6}:{(23,1),(36,1)}
      31:{3,5,6}:{(24,1),(38,1),(50,1)}
      32:{3,4,5,6}:{(26,1),(40,1),(43,1),(70,1)}
      33:{1,2,5}:{(25,1),(28,1),(41,1)}
      34:{1,2,5,6}:{(26,1),(29,1),(40,1),(42,1),(71,1)}
      35:{1,4,6}:{(27,1),(30,1),(41,1),(43,1),(72,1)}
      36:{4,5}:{(28,1),(30,1)}
      37:{2,4,6}:{(29,1),(30,1),(44,1),(46,1)}
      38:{3,4,6}:{(30,1),(31,1),(45,1),(46,1),(47,1)}
      39:{1,3,5,6}:{(31,1),(47,1),(59,1)}
      40:{2,3,5,6}:{(32,1),(34,1),(48,1),(51,1),(64,1)}
      41:{1,4,5}:{(33,1),(35,1),(36,1),(50,1)}
      42:{1,2,4,6}:{(34,1),(35,1),(37,1),(48,1),(49,1),(51,1),(55,1)}
      43:{3,4,6}:{(35,1),(50,1),(51,1),(66,1)}
      44:{2,4,5}:{(36,1),(37,1),(53,1)}
      45:{3,4,5}:{(36,1),(38,1),(50,1),(53,1),(54,1),(66,1)}
      46:{2,3,6}:{(37,1),(38,1),(53,1),(55,1)}
      47:{1,4,6}:{(38,1),(39,1),(54,1),(55,1)}
      48:{2,4,6}:{(40,1),(56,1)}
      49:{1,2,4,5}:{(41,1),(42,1),(44,1),(56,1),(58,1),(62,1),(71,1),(72,1)}
      50:{3,5}:{(41,1),(43,1)}
      51:{2,3,6}:{(42,1),(43,1),(58,1)}
      52:{1,3,4,6}:{(43,1),(47,1),(59,1),(60,1),(72,1)}
      53:{2,3,5}:{(44,1),(45,1),(46,1),(61,1),(62,1)}
      54:{1,4,5}:{(45,1),(47,1),(59,1),(62,1),(72,1)}
      55:{1,2,6}:{(46,1),(47,1),(62,1)}
      56:{2,4,5}:{(48,1),(64,1)}
      57:{2,3,4,6}:{(48,1),(51,1),(64,1),(65,1),(66,1),(74,1)}
      58:{2,3,5}:{(49,1),(50,1),(51,1),(66,1)}
      59:{1,3,5}:{(50,1),(52,1),(54,1)}
      60:{1,2,3,6}:{(51,1),(52,1),(55,1),(65,1),(67,1),(80,1)}
      61:{2,3,4}:{(53,1),(66,1),(68,1)}
      62:{1,2,5}:{(53,1),(54,1),(55,1),(68,1)}
      63:{2,4,5,6}:{(56,1),(69,1)}
      64:{2,3,5}:{(56,1),(57,1),(70,1),(71,1)}
      65:{1,2,4,6}:{(57,1),(60,1),(71,1),(72,1),(78,1)}
      66:{3,4}:{(58,1),(72,1)}
      67:{1,2,3,5}:{(58,1),(59,1),(60,1),(62,1),(71,1),(72,1),(73,1),(79,1)}
      68:{1,2,4}:{(61,1),(62,1),(72,1),(73,1)}
      69:{2,3,5,6}:{(63,1),(64,1),(74,1),(75,1)}
      70:{3,4,5}:{(64,1),(66,1),(74,1),(76,1)}
      71:{1,2,5}:{(64,1),(65,1),(76,1)}
      72:{1,4}:{(66,1),(67,1)}
      73:{1,2,3}:{(68,1),(77,1)}
      74:{3,4,6}:{(69,1),(70,1),(78,1)}
      75:{1,2,5,6}:{(69,1),(71,1),(78,1)}
      76:{1,4,5}:{(70,1),(71,1),(72,1),(78,1),(79,1)}
      77:{1,3,4}:{(72,1),(73,1),(79,1)}
      78:{1,4,6}:{(74,1),(75,1),(76,1),(80,1)}
      79:{1,3,5}:{(76,1),(77,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

414 :  0:{1,3,4,5}:{(1,1),(2,1),(28,1),(31,1)}
       1:{1,3,4,6}:{(0,1),(4,1),(5,1),(17,1),(44,1),(76,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(19,1),(20,1)}
       3:{3,4,5,6}:{(8,1),(9,1),(27,1),(46,1)}
       4:{1,3,5,6}:{(1,1),(9,1),(56,1),(68,1)}
       5:{1,2,3,6}:{(1,1),(2,1),(11,1),(32,1),(80,1)}
       6:{1,2,4}:{(2,1),(12,1)}
       7:{1,2,3,4}:{(12,1),(14,1)}
       8:{2,3,5,6}:{(3,1),(15,1),(16,1),(35,1),(37,1)}
       9:{1,4,5,6}:{(3,1),(4,1),(15,1),(17,1),(57,1),(67,1)}
      10:{1,2,3,5,6}:{(4,1),(5,1),(15,1),(17,1),(19,1),(37,1),(40,1),(43,1),(59,1),(62,1),(79,1)}
      11:{1,2,4,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(78,1),(79,1)}
      12:{2,3,4}:{(6,1),(20,1)}
      13:{1,2,4,5}:{(6,1),(19,1),(20,1),(21,1),(22,1),(42,1)}
      14:{1,2,3,5}:{(7,1),(20,1),(22,1),(23,1)}
      15:{1,2,5,6}:{(8,1),(9,1),(25,1),(48,1),(75,1)}
      16:{2,4,6}:{(8,1),(26,1)}
      17:{1,4,6}:{(10,1),(27,1),(28,1),(55,1),(70,1)}
      18:{2,3,4,6}:{(11,1),(12,1),(27,1),(29,1),(32,1),(55,1),(73,1),(74,1)}
      19:{1,2,5}:{(11,1),(28,1),(29,1)}
      20:{2,3,5}:{(12,1),(13,1),(31,1),(32,1)}
      21:{1,2,4,6}:{(13,1),(30,1),(32,1),(33,1),(55,1)}
      22:{1,4,5}:{(14,1),(31,1),(33,1)}
      23:{1,2,3,6}:{(14,1),(32,1),(33,1)}
      24:{2,3,4,6}:{(16,1),(34,1),(35,1),(37,1),(58,1),(63,1)}
      25:{1,2,4,6}:{(15,1),(16,1),(17,1),(37,1),(38,1),(66,1),(79,1)}
      26:{2,4,5}:{(16,1),(35,1)}
      27:{3,4,6}:{(17,1),(37,1),(40,1),(63,1)}
      28:{1,4,5}:{(17,1),(19,1),(40,1),(42,1)}
      29:{2,3,5}:{(18,1),(19,1),(40,1),(42,1)}
      30:{1,2,5,6}:{(19,1),(21,1),(41,1),(43,1),(45,1),(79,1)}
      31:{3,4,5}:{(20,1),(22,1),(42,1),(44,1)}
      32:{2,3,6}:{(20,1),(21,1),(44,1)}
      33:{1,4,6}:{(22,1),(23,1),(44,1),(45,1)}
      34:{1,2,4,6}:{(24,1),(47,1),(48,1),(69,1),(70,1)}
      35:{2,3,5}:{(24,1),(26,1),(46,1),(48,1)}
      36:{1,3,4,6}:{(27,1),(47,1),(50,1),(70,1),(72,1)}
      37:{2,3,6}:{(25,1),(27,1),(51,1)}
      38:{1,2,4,5}:{(25,1),(26,1),(28,1),(48,1),(51,1),(54,1),(70,1),(71,1)}
      39:{2,4,5,6}:{(26,1),(49,1)}
      40:{3,5}:{(27,1),(28,1)}
      41:{1,4,5,6}:{(28,1),(30,1),(53,1),(55,1),(72,1)}
      42:{4,5}:{(29,1),(55,1)}
      43:{2,3,5,6}:{(29,1),(30,1),(32,1),(53,1),(55,1),(56,1),(74,1),(75,1)}
      44:{3,4,6}:{(31,1),(32,1),(33,1),(55,1),(56,1)}
      45:{1,5,6}:{(33,1),(56,1)}
      46:{3,4,5}:{(35,1),(57,1),(58,1),(63,1)}
      47:{1,2,3,6}:{(34,1),(36,1),(37,1),(59,1),(77,1),(79,1)}
      48:{1,2,5}:{(34,1),(35,1),(57,1)}
      49:{2,3,5,6}:{(35,1),(39,1),(58,1),(60,1)}
      50:{1,3,5}:{(36,1),(40,1),(61,1)}
      51:{2,3,5}:{(37,1),(38,1),(40,1),(63,1)}
      52:{3,4,5}:{(40,1),(42,1),(61,1),(63,1),(64,1),(65,1)}
      53:{3,5,6}:{(40,1),(41,1),(65,1)}
      54:{2,4,5}:{(42,1),(64,1),(66,1)}
      55:{4,6}:{(42,1),(43,1)}
      56:{3,5,6}:{(44,1),(45,1),(67,1)}
      57:{1,4,5}:{(46,1),(48,1),(68,1),(69,1),(70,1)}
      58:{3,4,6}:{(46,1),(49,1),(69,1)}
      59:{1,2,3,5}:{(47,1),(48,1),(50,1),(51,1),(68,1),(70,1),(71,1),(80,1)}
      60:{1,2,5,6}:{(48,1),(49,1),(69,1)}
      61:{1,4,5}:{(50,1),(52,1),(70,1),(71,1),(72,1)}
      62:{1,3,5,6}:{(50,1),(53,1),(72,1)}
      63:{3,4}:{(51,1),(70,1)}
      64:{2,3,5}:{(52,1),(54,1),(71,1),(73,1),(74,1)}
      65:{3,4,6}:{(52,1),(53,1),(55,1),(72,1),(74,1)}
      66:{2,4,6}:{(54,1),(55,1),(74,1),(75,1)}
      67:{4,5,6}:{(55,1),(56,1),(75,1)}
      68:{1,3,5}:{(57,1),(76,1),(77,1)}
      69:{1,4,6}:{(57,1),(58,1),(60,1),(77,1)}
      70:{1,4}:{(59,1),(63,1)}
      71:{1,2,5}:{(61,1),(64,1),(78,1),(79,1)}
      72:{1,4,6}:{(61,1),(62,1),(65,1),(79,1)}
      73:{2,3,4}:{(63,1),(64,1),(78,1)}
      74:{2,3,6}:{(64,1),(65,1),(66,1),(79,1)}
      75:{2,5,6}:{(66,1),(67,1)}
      76:{1,3,4}:{(68,1),(70,1),(80,1)}
      77:{1,3,6}:{(68,1),(69,1)}
      78:{1,2,4}:{(70,1),(71,1),(73,1),(80,1)}
      79:{1,2,6}:{(71,1),(72,1),(74,1)}
      80:{1,2,3}:{(76,1),(78,1)}

415 :  0:{1,2,3,4}:{(2,1),(13,1)}
       1:{1,3,4,5}:{(3,1),(4,1),(10,1),(30,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(17,1)}
       3:{1,2,3,5}:{(1,1),(7,1),(8,1),(17,1),(22,1)}
       4:{1,3,4,6}:{(1,1),(8,1),(9,1),(18,1),(23,1),(73,1)}
       5:{1,4,5}:{(2,1),(10,1),(12,1)}
       6:{1,2,3,6}:{(2,1),(12,1),(26,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{1,2,3,6}:{(3,1),(4,1),(14,1),(26,1),(77,1)}
       9:{1,3,5,6}:{(4,1),(16,1),(27,1),(78,1)}
      10:{3,4,5}:{(5,1),(17,1),(18,1),(37,1)}
      11:{1,2,4,5}:{(5,1),(7,1),(17,1),(19,1),(22,1),(37,1)}
      12:{1,4,6}:{(5,1),(6,1),(18,1),(20,1)}
      13:{2,3,4}:{(7,1),(17,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(21,1),(22,1),(23,1),(71,1),(72,1)}
      15:{1,2,3,5,6}:{(8,1),(9,1),(22,1),(23,1),(24,1),(34,1),(39,1),(40,1),(55,1),(58,1),(71,1)}
      16:{1,4,5,6}:{(9,1),(23,1),(24,1),(25,1),(35,1),(74,1)}
      17:{2,3,5}:{(10,1),(11,1),(13,1),(26,1)}
      18:{3,4,6}:{(10,1),(12,1),(26,1),(27,1),(43,1)}
      19:{1,2,4,6}:{(11,1),(12,1),(26,1),(28,1),(43,1)}
      20:{1,5,6}:{(12,1),(27,1)}
      21:{2,3,4,6}:{(13,1),(14,1),(26,1),(29,1),(32,1),(43,1),(63,1),(66,1)}
      22:{1,2,5}:{(14,1),(29,1),(30,1)}
      23:{1,4,6}:{(15,1),(30,1),(32,1),(43,1),(67,1)}
      24:{1,2,5,6}:{(16,1),(31,1),(33,1),(44,1),(69,1)}
      25:{3,4,5,6}:{(16,1),(32,1),(33,1),(68,1)}
      26:{2,3,6}:{(17,1),(18,1),(19,1)}
      27:{3,5,6}:{(18,1),(20,1),(35,1)}
      28:{1,2,5,6}:{(19,1),(20,1),(22,1),(34,1),(36,1),(71,1)}
      29:{2,3,5}:{(21,1),(22,1),(37,1),(39,1)}
      30:{1,4,5}:{(22,1),(23,1),(37,1),(39,1)}
      31:{1,2,4,6}:{(23,1),(24,1),(38,1),(40,1),(42,1),(53,1),(71,1)}
      32:{3,4,6}:{(23,1),(39,1),(40,1),(59,1)}
      33:{2,3,5,6}:{(24,1),(25,1),(40,1),(42,1),(61,1)}
      34:{2,3,5,6}:{(26,1),(27,1),(28,1),(29,1),(43,1),(44,1),(45,1),(63,1)}
      35:{4,5,6}:{(27,1),(43,1),(44,1)}
      36:{1,4,5,6}:{(28,1),(30,1),(43,1),(45,1),(64,1)}
      37:{4,5}:{(29,1),(43,1)}
      38:{1,2,4,5}:{(30,1),(31,1),(46,1),(48,1),(52,1),(65,1),(67,1),(69,1)}
      39:{3,5}:{(30,1),(32,1)}
      40:{2,3,6}:{(31,1),(32,1),(48,1)}
      41:{1,3,4,6}:{(32,1),(49,1),(50,1),(64,1),(67,1)}
      42:{2,4,6}:{(33,1),(52,1)}
      43:{4,6}:{(34,1),(37,1)}
      44:{2,5,6}:{(35,1),(53,1)}
      45:{3,5,6}:{(36,1),(39,1),(54,1)}
      46:{2,4,5}:{(37,1),(53,1),(56,1)}
      47:{3,4,5}:{(37,1),(39,1),(54,1),(56,1),(57,1),(59,1)}
      48:{2,3,5}:{(38,1),(39,1),(40,1),(59,1)}
      49:{1,3,5}:{(39,1),(41,1),(57,1)}
      50:{1,2,3,6}:{(40,1),(41,1),(58,1),(60,1),(71,1),(80,1)}
      51:{2,3,4,6}:{(40,1),(42,1),(59,1),(60,1),(61,1),(75,1)}
      52:{2,4,5}:{(42,1),(61,1)}
      53:{2,4,6}:{(43,1),(44,1),(46,1),(63,1)}
      54:{3,4,6}:{(43,1),(45,1),(47,1),(63,1),(64,1)}
      55:{1,3,5,6}:{(45,1),(49,1),(64,1)}
      56:{2,3,5}:{(46,1),(47,1),(63,1),(65,1),(66,1)}
      57:{1,4,5}:{(47,1),(49,1),(64,1),(65,1),(67,1)}
      58:{1,2,3,5}:{(48,1),(49,1),(50,1),(65,1),(67,1),(69,1),(77,1),(78,1)}
      59:{3,4}:{(48,1),(67,1)}
      60:{1,2,4,6}:{(50,1),(51,1),(67,1),(69,1),(79,1)}
      61:{2,3,5}:{(51,1),(52,1),(68,1),(69,1)}
      62:{2,4,5,6}:{(52,1),(70,1)}
      63:{2,3,6}:{(53,1),(54,1),(56,1),(71,1)}
      64:{1,4,6}:{(54,1),(55,1),(57,1),(71,1)}
      65:{1,2,5}:{(56,1),(57,1),(71,1),(72,1)}
      66:{2,3,4}:{(56,1),(59,1),(72,1)}
      67:{1,4}:{(58,1),(59,1)}
      68:{3,4,5}:{(59,1),(61,1),(74,1),(75,1)}
      69:{1,2,5}:{(60,1),(61,1),(74,1)}
      70:{2,3,5,6}:{(61,1),(62,1),(75,1),(76,1)}
      71:{1,2,6}:{(63,1),(64,1),(65,1)}
      72:{1,2,4}:{(65,1),(66,1),(67,1),(77,1)}
      73:{1,3,4}:{(67,1),(77,1),(78,1)}
      74:{1,4,5}:{(67,1),(68,1),(69,1),(78,1),(79,1)}
      75:{3,4,6}:{(68,1),(70,1),(79,1)}
      76:{1,2,5,6}:{(69,1),(70,1),(79,1)}
      77:{1,2,3}:{(72,1),(73,1)}
      78:{1,3,5}:{(73,1),(74,1),(80,1)}
      79:{1,4,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

416 :  0:{3,4,5,6}:{(1,1),(2,1),(24,1),(28,1)}
       1:{2,3,5,6}:{(0,1),(5,1),(6,1),(16,1),(18,1)}
       2:{1,4,5,6}:{(0,1),(4,1),(5,1),(17,1),(37,1),(77,1)}
       3:{1,3,4,5}:{(7,1),(8,1),(29,1),(47,1)}
       4:{1,3,5,6}:{(2,1),(7,1),(50,1),(71,1)}
       5:{1,2,5,6}:{(1,1),(2,1),(11,1),(26,1),(80,1)}
       6:{2,4,6}:{(1,1),(12,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(13,1),(17,1),(60,1),(63,1)}
       8:{1,2,3,5}:{(3,1),(13,1),(14,1),(32,1),(34,1)}
       9:{2,3,4,6}:{(6,1),(15,1),(16,1),(18,1),(38,1),(43,1)}
      10:{1,2,3,5,6}:{(4,1),(5,1),(13,1),(17,1),(18,1),(32,1),(39,1),(41,1),(57,1),(62,1),(79,1)}
      11:{1,2,4,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(76,1),(79,1)}
      12:{2,4,5}:{(6,1),(16,1)}
      13:{1,2,3,6}:{(7,1),(8,1),(21,1),(48,1),(74,1)}
      14:{1,2,4}:{(8,1),(22,1)}
      15:{1,2,4,6}:{(9,1),(25,1),(26,1),(51,1),(52,1)}
      16:{2,3,5}:{(9,1),(12,1),(24,1),(26,1)}
      17:{1,4,6}:{(10,1),(28,1),(29,1),(52,1),(69,1)}
      18:{2,3,6}:{(11,1),(28,1),(30,1)}
      19:{1,2,4,5}:{(11,1),(12,1),(26,1),(29,1),(30,1),(52,1),(68,1),(72,1)}
      20:{2,4,5,6}:{(12,1),(27,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(17,1),(31,1),(32,1),(65,1),(79,1)}
      22:{2,3,4}:{(14,1),(34,1)}
      23:{1,2,4,5}:{(14,1),(32,1),(34,1),(35,1),(56,1),(58,1)}
      24:{3,4,5}:{(16,1),(37,1),(38,1),(43,1)}
      25:{1,2,3,6}:{(15,1),(18,1),(36,1),(39,1),(64,1),(79,1)}
      26:{1,2,5}:{(15,1),(16,1),(37,1)}
      27:{2,3,5,6}:{(16,1),(20,1),(38,1),(40,1)}
      28:{3,4,6}:{(17,1),(18,1),(41,1),(43,1)}
      29:{1,4,5}:{(17,1),(32,1),(41,1),(56,1)}
      30:{2,3,5}:{(18,1),(19,1),(41,1),(43,1)}
      31:{2,3,4,6}:{(21,1),(22,1),(28,1),(44,1),(48,1),(55,1),(69,1),(75,1)}
      32:{1,2,5}:{(21,1),(29,1),(44,1)}
      33:{1,2,3,4}:{(22,1),(46,1)}
      34:{2,3,5}:{(22,1),(23,1),(47,1),(48,1)}
      35:{1,2,4,6}:{(23,1),(45,1),(48,1),(69,1),(70,1)}
      36:{1,3,4,6}:{(25,1),(28,1),(49,1),(52,1),(73,1)}
      37:{1,4,5}:{(24,1),(26,1),(50,1),(51,1),(52,1)}
      38:{3,4,6}:{(24,1),(27,1),(51,1)}
      39:{1,2,3,5}:{(25,1),(26,1),(30,1),(49,1),(50,1),(52,1),(72,1),(74,1)}
      40:{1,2,5,6}:{(26,1),(27,1),(51,1)}
      41:{3,5}:{(28,1),(29,1)}
      42:{1,4,5,6}:{(29,1),(45,1),(54,1),(69,1),(73,1)}
      43:{3,4}:{(30,1),(52,1)}
      44:{2,3,5}:{(31,1),(32,1),(41,1),(56,1)}
      45:{1,2,5,6}:{(32,1),(35,1),(42,1),(57,1),(78,1),(79,1)}
      46:{1,2,3,5}:{(33,1),(34,1),(58,1),(59,1)}
      47:{3,4,5}:{(34,1),(56,1),(58,1),(60,1)}
      48:{2,3,6}:{(34,1),(35,1),(60,1)}
      49:{1,3,5}:{(36,1),(41,1),(61,1)}
      50:{1,3,5}:{(37,1),(63,1),(64,1)}
      51:{1,4,6}:{(37,1),(38,1),(40,1),(64,1)}
      52:{1,4}:{(39,1),(43,1)}
      53:{3,4,5}:{(41,1),(43,1),(56,1),(61,1),(66,1),(67,1)}
      54:{3,5,6}:{(41,1),(42,1),(67,1)}
      55:{2,3,4}:{(43,1),(65,1),(66,1)}
      56:{4,5}:{(44,1),(69,1)}
      57:{2,3,5,6}:{(44,1),(45,1),(48,1),(54,1),(69,1),(71,1),(75,1),(80,1)}
      58:{1,4,5}:{(46,1),(47,1),(70,1)}
      59:{1,2,3,6}:{(46,1),(48,1),(70,1)}
      60:{3,4,6}:{(47,1),(48,1),(69,1),(70,1),(71,1)}
      61:{1,4,5}:{(49,1),(52,1),(53,1),(72,1),(73,1)}
      62:{1,3,5,6}:{(49,1),(54,1),(73,1)}
      63:{1,3,4}:{(50,1),(52,1),(74,1)}
      64:{1,3,6}:{(50,1),(51,1)}
      65:{1,2,4}:{(52,1),(55,1),(72,1),(74,1)}
      66:{2,3,5}:{(53,1),(55,1),(68,1),(72,1),(75,1)}
      67:{3,4,6}:{(53,1),(54,1),(69,1),(73,1),(75,1)}
      68:{2,4,5}:{(56,1),(66,1),(76,1)}
      69:{4,6}:{(56,1),(57,1)}
      70:{1,4,6}:{(58,1),(59,1),(60,1),(78,1)}
      71:{3,5,6}:{(60,1),(77,1),(78,1)}
      72:{1,2,5}:{(61,1),(65,1),(66,1),(79,1)}
      73:{1,4,6}:{(61,1),(62,1),(67,1),(79,1)}
      74:{1,2,3}:{(63,1),(65,1)}
      75:{2,3,6}:{(66,1),(67,1),(76,1),(79,1)}
      76:{2,4,6}:{(68,1),(69,1),(75,1),(80,1)}
      77:{4,5,6}:{(69,1),(71,1),(80,1)}
      78:{1,5,6}:{(70,1),(71,1)}
      79:{1,2,6}:{(72,1),(73,1),(75,1)}
      80:{2,5,6}:{(76,1),(77,1)}

417 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

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

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

420 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

421 :  0:{3,4,5}:{(3,1),(4,1),(5,1),(44,1),(46,1),(65,1),(66,1),(69,1)}
       1:{4,5,6}:{(7,1),(8,1),(31,1),(72,1)}
       2:{1,3,4}:{(9,1),(10,1),(33,1),(71,1)}
       3:{3,4,6}:{(0,1),(8,1),(12,1),(13,1),(31,1),(55,1)}
       4:{2,3,5}:{(0,1),(12,1),(14,1),(15,1),(38,1),(39,1)}
       5:{1,4,5}:{(0,1),(9,1),(13,1),(14,1),(33,1),(58,1)}
       6:{2,4,5}:{(16,1),(17,1),(44,1)}
       7:{2,5,6}:{(1,1),(16,1),(77,1)}
       8:{3,5,6}:{(1,1),(3,1),(19,1),(66,1)}
       9:{1,3,5}:{(2,1),(5,1),(20,1),(65,1)}
      10:{1,2,3}:{(2,1),(22,1),(76,1)}
      11:{2,3,4}:{(22,1),(23,1),(46,1)}
      12:{2,3,6}:{(3,1),(4,1),(24,1),(25,1)}
      13:{1,4,6}:{(3,1),(5,1),(19,1),(20,1),(24,1)}
      14:{1,2,5}:{(4,1),(5,1),(24,1),(26,1)}
      15:{2,4}:{(4,1),(69,1)}
      16:{2,4,6}:{(6,1),(7,1),(27,1),(31,1),(74,1)}
      17:{2,3,5}:{(6,1),(27,1),(28,1),(29,1),(53,1)}
      18:{2,3,5,6}:{(7,1),(8,1),(12,1),(27,1),(30,1),(31,1),(38,1),(53,1),(55,1),(62,1)}
      19:{1,5,6}:{(8,1),(13,1),(58,1)}
      20:{1,3,6}:{(9,1),(13,1),(55,1)}
      21:{1,2,3,5}:{(9,1),(10,1),(14,1),(32,1),(33,1),(35,1),(39,1),(58,1),(60,1),(62,1)}
      22:{1,2,4}:{(10,1),(11,1),(33,1),(35,1),(74,1)}
      23:{2,3,5}:{(11,1),(34,1),(35,1),(36,1),(60,1)}
      24:{1,2,6}:{(12,1),(13,1),(14,1)}
      25:{2,4,6}:{(12,1),(15,1),(31,1),(38,1)}
      26:{1,2,4}:{(14,1),(15,1),(33,1),(39,1)}
      27:{2,3,6}:{(16,1),(17,1),(40,1),(41,1),(76,1)}
      28:{1,2,5}:{(17,1),(40,1),(42,1),(64,1)}
      29:{3,4}:{(17,1),(42,1)}
      30:{1,2,5,6}:{(18,1),(19,1),(24,1),(40,1),(43,1),(51,1),(64,1)}
      31:{4,6}:{(18,1),(44,1),(69,1)}
      32:{1,2,3,6}:{(20,1),(21,1),(24,1),(45,1),(49,1),(50,1),(68,1)}
      33:{1,4}:{(21,1),(46,1),(69,1)}
      34:{4,5}:{(23,1),(48,1)}
      35:{1,2,5}:{(22,1),(23,1),(47,1),(49,1),(77,1)}
      36:{2,3,6}:{(23,1),(48,1),(49,1),(68,1)}
      37:{1,2,4,6}:{(24,1),(25,1),(26,1),(43,1),(45,1),(50,1),(51,1),(69,1)}
      38:{2,5}:{(25,1),(44,1)}
      39:{2,3}:{(26,1),(46,1)}
      40:{1,2,6}:{(27,1),(28,1),(52,1),(79,1)}
      41:{3,4,6}:{(27,1),(29,1),(31,1),(52,1),(53,1),(55,1),(71,1)}
      42:{1,4}:{(28,1),(29,1),(54,1)}
      43:{1,4,6}:{(30,1),(31,1),(55,1),(56,1)}
      44:{4,5}:{(31,1),(38,1),(53,1)}
      45:{1,4,6}:{(32,1),(33,1),(57,1),(58,1)}
      46:{3,4}:{(33,1),(39,1),(60,1)}
      47:{1,4,5}:{(33,1),(34,1),(35,1),(58,1),(60,1),(61,1),(72,1)}
      48:{4,6}:{(34,1),(36,1),(59,1)}
      49:{1,2,6}:{(35,1),(36,1),(61,1),(80,1)}
      50:{2,3,6}:{(37,1),(39,1),(55,1),(57,1),(62,1),(80,1)}
      51:{1,2,5}:{(37,1),(38,1),(56,1),(58,1),(62,1),(79,1)}
      52:{1,4,6}:{(40,1),(41,1),(42,1),(63,1),(64,1),(75,1)}
      53:{3,5}:{(41,1),(44,1),(64,1)}
      54:{1,3}:{(42,1)}
      55:{3,6}:{(43,1),(65,1)}
      56:{1,4,5}:{(43,1),(44,1),(51,1),(64,1),(65,1),(69,1),(75,1)}
      57:{3,4,6}:{(45,1),(46,1),(50,1),(66,1),(68,1),(69,1),(78,1)}
      58:{1,5}:{(45,1),(66,1)}
      59:{5,6}:{(48,1)}
      60:{3,5}:{(46,1),(47,1),(68,1)}
      61:{1,4,6}:{(47,1),(48,1),(49,1),(67,1),(68,1),(78,1)}
      62:{2,3,5}:{(50,1),(51,1),(65,1),(66,1),(69,1),(76,1),(77,1)}
      63:{1,3,6}:{(52,1),(54,1),(55,1),(70,1)}
      64:{1,5}:{(52,1),(53,1)}
      65:{3,5}:{(55,1),(56,1),(71,1)}
      66:{3,5}:{(57,1),(58,1),(72,1)}
      67:{1,5,6}:{(58,1),(59,1),(61,1),(73,1)}
      68:{3,6}:{(60,1),(61,1)}
      69:{4}:{(62,1)}
      70:{1,3,5}:{(63,1),(64,1),(65,1),(75,1)}
      71:{3,4}:{(65,1),(69,1),(75,1),(76,1)}
      72:{4,5}:{(66,1),(69,1),(77,1),(78,1)}
      73:{3,5,6}:{(66,1),(67,1),(68,1),(78,1)}
      74:{2,4}:{(69,1),(76,1),(77,1)}
      75:{1,4}:{(70,1),(71,1),(79,1)}
      76:{2,3}:{(71,1),(74,1),(79,1)}
      77:{2,5}:{(72,1),(74,1),(80,1)}
      78:{4,6}:{(72,1),(73,1),(80,1)}
      79:{1,2}:{(75,1),(76,1)}
      80:{2,6}:{(77,1),(78,1)}

422 :  0:{1,3,4}:{(2,1),(3,1),(20,1),(75,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(32,1),(53,1),(56,1),(70,1),(71,1)}
       2:{1,3,5}:{(0,1),(8,1),(9,1),(70,1)}
       3:{1,2,3}:{(0,1),(11,1),(79,1)}
       4:{2,3,4}:{(11,1),(12,1),(32,1)}
       5:{4,5,6}:{(13,1),(14,1),(39,1),(65,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(39,1),(62,1)}
       7:{2,3,5}:{(1,1),(15,1),(17,1),(18,1),(41,1),(42,1)}
       8:{1,4,5}:{(1,1),(2,1),(16,1),(17,1),(20,1),(44,1)}
       9:{1,3,6}:{(2,1),(16,1),(62,1)}
      10:{1,2,3,5}:{(2,1),(3,1),(17,1),(19,1),(20,1),(22,1),(42,1),(44,1),(46,1),(64,1)}
      11:{1,2,4}:{(3,1),(4,1),(20,1),(22,1),(76,1)}
      12:{2,3,5}:{(4,1),(21,1),(22,1),(23,1),(46,1)}
      13:{2,5,6}:{(5,1),(25,1),(72,1)}
      14:{3,5,6}:{(5,1),(6,1),(27,1),(56,1)}
      15:{2,3,6}:{(6,1),(7,1),(28,1),(29,1)}
      16:{1,4,6}:{(6,1),(8,1),(9,1),(27,1),(28,1)}
      17:{1,2,5}:{(7,1),(8,1),(28,1),(30,1)}
      18:{2,4}:{(7,1),(71,1)}
      19:{1,2,3,6}:{(9,1),(10,1),(28,1),(31,1),(35,1),(54,1),(58,1)}
      20:{1,4}:{(10,1),(32,1),(71,1)}
      21:{4,5}:{(12,1),(34,1)}
      22:{1,2,5}:{(11,1),(12,1),(33,1),(35,1),(72,1)}
      23:{2,3,6}:{(12,1),(34,1),(35,1),(58,1)}
      24:{2,4,5}:{(25,1),(36,1),(53,1)}
      25:{2,4,6}:{(13,1),(24,1),(37,1),(39,1),(76,1)}
      26:{2,3,5,6}:{(13,1),(14,1),(15,1),(37,1),(38,1),(39,1),(41,1),(61,1),(62,1),(64,1)}
      27:{1,5,6}:{(14,1),(16,1),(44,1)}
      28:{1,2,6}:{(15,1),(16,1),(17,1)}
      29:{2,4,6}:{(15,1),(18,1),(39,1),(41,1)}
      30:{1,2,4}:{(17,1),(18,1),(20,1),(42,1)}
      31:{1,4,6}:{(19,1),(20,1),(43,1),(44,1)}
      32:{3,4}:{(20,1),(42,1),(46,1)}
      33:{1,4,5}:{(20,1),(21,1),(22,1),(44,1),(46,1),(47,1),(65,1)}
      34:{4,6}:{(21,1),(23,1),(45,1)}
      35:{1,2,6}:{(22,1),(23,1),(47,1),(77,1)}
      36:{2,3,5}:{(24,1),(37,1),(48,1),(49,1),(61,1)}
      37:{2,3,6}:{(25,1),(36,1),(50,1),(51,1),(79,1)}
      38:{1,2,5,6}:{(26,1),(27,1),(28,1),(50,1),(52,1),(55,1),(69,1)}
      39:{4,6}:{(26,1),(53,1),(71,1)}
      40:{1,2,4,6}:{(28,1),(29,1),(30,1),(31,1),(52,1),(54,1),(55,1),(71,1)}
      41:{2,5}:{(29,1),(53,1)}
      42:{2,3}:{(30,1),(32,1)}
      43:{3,4,6}:{(31,1),(32,1),(54,1),(56,1),(58,1),(71,1),(73,1)}
      44:{1,5}:{(31,1),(56,1)}
      45:{5,6}:{(34,1)}
      46:{3,5}:{(32,1),(33,1),(58,1)}
      47:{1,4,6}:{(33,1),(34,1),(35,1),(57,1),(58,1),(73,1)}
      48:{1,2,5}:{(36,1),(50,1),(59,1),(69,1)}
      49:{3,4}:{(36,1),(59,1)}
      50:{1,2,6}:{(37,1),(48,1),(60,1),(80,1)}
      51:{3,4,6}:{(37,1),(39,1),(49,1),(60,1),(61,1),(62,1),(75,1)}
      52:{1,4,6}:{(38,1),(39,1),(62,1),(63,1)}
      53:{4,5}:{(39,1),(41,1),(61,1)}
      54:{2,3,6}:{(40,1),(42,1),(43,1),(62,1),(64,1),(77,1)}
      55:{1,2,5}:{(40,1),(41,1),(44,1),(63,1),(64,1),(80,1)}
      56:{3,5}:{(43,1),(44,1),(65,1)}
      57:{1,5,6}:{(44,1),(45,1),(47,1),(66,1)}
      58:{3,6}:{(46,1),(47,1)}
      59:{1,4}:{(48,1),(49,1),(67,1)}
      60:{1,4,6}:{(50,1),(51,1),(59,1),(68,1),(69,1),(78,1)}
      61:{3,5}:{(51,1),(53,1),(69,1)}
      62:{3,6}:{(52,1),(70,1)}
      63:{1,4,5}:{(52,1),(53,1),(55,1),(69,1),(70,1),(71,1),(78,1)}
      64:{2,3,5}:{(54,1),(55,1),(56,1),(70,1),(71,1),(72,1),(79,1)}
      65:{4,5}:{(56,1),(71,1),(72,1),(73,1)}
      66:{3,5,6}:{(56,1),(57,1),(58,1),(73,1)}
      67:{1,3}:{(59,1)}
      68:{1,3,6}:{(60,1),(62,1),(67,1),(74,1)}
      69:{1,5}:{(60,1),(61,1)}
      70:{3,5}:{(62,1),(63,1),(75,1)}
      71:{4}:{(64,1)}
      72:{2,5}:{(65,1),(76,1),(77,1)}
      73:{4,6}:{(65,1),(66,1),(77,1)}
      74:{1,3,5}:{(68,1),(69,1),(70,1),(78,1)}
      75:{3,4}:{(70,1),(71,1),(78,1),(79,1)}
      76:{2,4}:{(71,1),(72,1),(79,1)}
      77:{2,6}:{(72,1),(73,1)}
      78:{1,4}:{(74,1),(75,1),(80,1)}
      79:{2,3}:{(75,1),(76,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

423 :  0:{2,3,4}:{(1,1),(2,1),(32,1)}
       1:{1,2,4}:{(0,1),(5,1),(6,1),(22,1),(75,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1),(20,1)}
       3:{1,3,4}:{(5,1),(8,1),(22,1),(76,1)}
       4:{4,5}:{(2,1),(11,1)}
       5:{1,2,3}:{(1,1),(3,1),(78,1)}
       6:{1,2,5}:{(1,1),(2,1),(10,1),(13,1),(70,1)}
       7:{2,3,6}:{(2,1),(11,1),(13,1),(33,1)}
       8:{1,3,5}:{(3,1),(14,1),(15,1),(72,1)}
       9:{3,4,5}:{(14,1),(16,1),(17,1),(32,1),(55,1),(58,1),(71,1),(72,1)}
      10:{1,4,5}:{(4,1),(6,1),(20,1),(21,1),(22,1),(46,1),(63,1)}
      11:{4,6}:{(4,1),(7,1),(19,1)}
      12:{1,2,3,5}:{(5,1),(6,1),(8,1),(20,1),(22,1),(23,1),(24,1),(43,1),(46,1),(64,1)}
      13:{1,2,6}:{(6,1),(7,1),(21,1),(62,1)}
      14:{1,4,5}:{(8,1),(9,1),(22,1),(24,1),(25,1),(46,1)}
      15:{1,3,6}:{(8,1),(25,1),(66,1)}
      16:{2,3,5}:{(9,1),(24,1),(26,1),(27,1),(43,1),(48,1)}
      17:{3,4,6}:{(9,1),(25,1),(27,1),(28,1),(49,1),(66,1)}
      18:{4,5,6}:{(28,1),(29,1),(49,1),(63,1)}
      19:{5,6}:{(11,1)}
      20:{3,5}:{(10,1),(32,1),(33,1)}
      21:{1,4,6}:{(10,1),(11,1),(13,1),(31,1),(33,1),(53,1)}
      22:{1,4}:{(12,1),(32,1),(71,1)}
      23:{1,2,3,6}:{(12,1),(13,1),(15,1),(33,1),(35,1),(36,1),(54,1)}
      24:{1,2,5}:{(14,1),(16,1),(34,1),(36,1)}
      25:{1,4,6}:{(14,1),(15,1),(17,1),(36,1),(37,1)}
      26:{2,4}:{(16,1),(71,1)}
      27:{2,3,6}:{(16,1),(17,1),(36,1),(38,1)}
      28:{3,5,6}:{(17,1),(18,1),(37,1),(55,1)}
      29:{2,5,6}:{(18,1),(40,1),(70,1)}
      30:{2,4,5}:{(40,1),(41,1),(58,1)}
      31:{1,5,6}:{(19,1),(21,1),(42,1),(46,1)}
      32:{3,4}:{(20,1),(22,1),(43,1)}
      33:{3,6}:{(20,1),(21,1)}
      34:{1,2,4}:{(22,1),(24,1),(26,1),(43,1)}
      35:{1,4,6}:{(22,1),(23,1),(44,1),(46,1)}
      36:{1,2,6}:{(24,1),(25,1),(27,1)}
      37:{1,5,6}:{(25,1),(28,1),(46,1)}
      38:{2,4,6}:{(26,1),(27,1),(48,1),(49,1)}
      39:{2,3,5,6}:{(27,1),(28,1),(29,1),(47,1),(48,1),(49,1),(50,1),(64,1),(66,1),(67,1)}
      40:{2,4,6}:{(29,1),(30,1),(49,1),(50,1),(75,1)}
      41:{2,3,5}:{(30,1),(50,1),(51,1),(52,1),(67,1)}
      42:{3,5,6}:{(31,1),(33,1),(53,1),(55,1)}
      43:{2,3}:{(32,1),(34,1)}
      44:{3,4,6}:{(32,1),(33,1),(35,1),(53,1),(54,1),(55,1),(71,1)}
      45:{1,2,4,6}:{(34,1),(35,1),(36,1),(38,1),(54,1),(56,1),(57,1),(71,1)}
      46:{1,5}:{(35,1),(55,1)}
      47:{1,2,5,6}:{(36,1),(37,1),(39,1),(56,1),(57,1),(60,1),(74,1)}
      48:{2,5}:{(38,1),(58,1)}
      49:{4,6}:{(39,1),(58,1),(71,1)}
      50:{2,3,6}:{(40,1),(41,1),(59,1),(60,1),(78,1)}
      51:{3,4}:{(41,1),(61,1)}
      52:{1,2,5}:{(41,1),(60,1),(61,1),(74,1)}
      53:{4,6}:{(42,1),(62,1),(63,1)}
      54:{2,3,6}:{(43,1),(44,1),(45,1),(62,1),(64,1),(66,1)}
      55:{3,5}:{(44,1),(46,1),(63,1)}
      56:{1,2,5}:{(45,1),(46,1),(48,1),(64,1),(65,1),(80,1)}
      57:{1,4,6}:{(47,1),(49,1),(65,1),(66,1)}
      58:{4,5}:{(48,1),(49,1),(67,1)}
      59:{3,4,6}:{(49,1),(50,1),(51,1),(66,1),(67,1),(68,1),(76,1)}
      60:{1,2,6}:{(50,1),(52,1),(68,1),(80,1)}
      61:{1,4}:{(51,1),(52,1),(69,1)}
      62:{2,6}:{(53,1),(70,1)}
      63:{4,5}:{(53,1),(55,1),(70,1),(71,1)}
      64:{2,3,5}:{(54,1),(55,1),(56,1),(70,1),(71,1),(72,1),(78,1)}
      65:{1,4,5}:{(56,1),(57,1),(58,1),(71,1),(72,1),(74,1),(79,1)}
      66:{3,6}:{(57,1),(72,1)}
      67:{3,5}:{(58,1),(59,1),(74,1)}
      68:{1,4,6}:{(59,1),(60,1),(61,1),(73,1),(74,1),(79,1)}
      69:{1,3}:{(61,1)}
      70:{2,5}:{(62,1),(63,1),(75,1)}
      71:{4}:{(64,1)}
      72:{3,5}:{(65,1),(66,1),(76,1)}
      73:{1,3,6}:{(66,1),(68,1),(69,1),(77,1)}
      74:{1,5}:{(67,1),(68,1)}
      75:{2,4}:{(70,1),(71,1),(78,1)}
      76:{3,4}:{(71,1),(72,1),(78,1),(79,1)}
      77:{1,3,5}:{(72,1),(73,1),(74,1),(79,1)}
      78:{2,3}:{(75,1),(76,1),(80,1)}
      79:{1,4}:{(76,1),(77,1),(80,1)}
      80:{1,2}:{(78,1),(79,1)}

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

425 :  0:{1,2,3,4}:{(1,1),(17,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1),(10,1)}
       2:{1,4,5}:{(1,1),(5,1),(7,1)}
       3:{1,2,3,6}:{(1,1),(7,1),(18,1)}
       4:{1,3,4,5}:{(5,1),(8,1),(9,1),(36,1)}
       5:{3,4,5}:{(2,1),(10,1),(11,1),(40,1)}
       6:{1,2,4,5}:{(2,1),(10,1),(12,1),(14,1),(28,1),(40,1)}
       7:{1,4,6}:{(2,1),(3,1),(11,1),(13,1)}
       8:{1,2,3,5}:{(4,1),(10,1),(14,1),(15,1),(28,1)}
       9:{1,3,4,6}:{(4,1),(11,1),(15,1),(16,1),(31,1),(73,1)}
      10:{2,3,5}:{(5,1),(6,1),(17,1),(18,1)}
      11:{3,4,6}:{(5,1),(7,1),(18,1),(19,1),(34,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(20,1),(34,1)}
      13:{1,5,6}:{(7,1),(19,1)}
      14:{1,2,4}:{(8,1),(17,1)}
      15:{1,2,3,6}:{(8,1),(9,1),(18,1),(21,1),(77,1)}
      16:{1,3,5,6}:{(9,1),(19,1),(22,1),(78,1)}
      17:{2,3,4}:{(10,1),(14,1)}
      18:{2,3,6}:{(10,1),(11,1),(12,1)}
      19:{3,5,6}:{(11,1),(13,1),(25,1)}
      20:{1,2,5,6}:{(12,1),(13,1),(26,1),(27,1),(28,1),(60,1)}
      21:{1,2,4,6}:{(14,1),(15,1),(24,1),(28,1),(31,1),(60,1),(72,1)}
      22:{1,4,5,6}:{(16,1),(25,1),(29,1),(30,1),(31,1),(75,1)}
      23:{1,2,3,5,6}:{(15,1),(16,1),(26,1),(28,1),(30,1),(31,1),(43,1),(45,1),(47,1),(60,1),(62,1)}
      24:{2,3,4,6}:{(17,1),(18,1),(21,1),(32,1),(34,1),(39,1),(51,1),(66,1)}
      25:{4,5,6}:{(19,1),(33,1),(34,1)}
      26:{2,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(33,1),(34,1),(35,1),(51,1)}
      27:{1,4,5,6}:{(20,1),(34,1),(35,1),(36,1),(52,1)}
      28:{1,2,5}:{(21,1),(32,1),(36,1)}
      29:{3,4,5,6}:{(22,1),(37,1),(39,1),(68,1)}
      30:{1,2,5,6}:{(22,1),(33,1),(37,1),(38,1),(71,1)}
      31:{1,4,6}:{(23,1),(34,1),(36,1),(39,1),(69,1)}
      32:{2,3,5}:{(24,1),(28,1),(40,1),(45,1)}
      33:{2,5,6}:{(25,1),(41,1)}
      34:{4,6}:{(26,1),(40,1)}
      35:{3,5,6}:{(27,1),(42,1),(45,1)}
      36:{1,4,5}:{(28,1),(31,1),(40,1),(45,1)}
      37:{2,3,5,6}:{(29,1),(30,1),(46,1),(47,1),(64,1)}
      38:{1,2,4,6}:{(30,1),(31,1),(41,1),(44,1),(46,1),(47,1),(60,1)}
      39:{3,4,6}:{(31,1),(45,1),(47,1),(61,1)}
      40:{4,5}:{(32,1),(34,1)}
      41:{2,4,6}:{(33,1),(34,1),(49,1),(51,1)}
      42:{3,4,6}:{(34,1),(35,1),(50,1),(51,1),(52,1)}
      43:{1,3,5,6}:{(35,1),(52,1),(54,1)}
      44:{1,2,4,5}:{(36,1),(38,1),(49,1),(53,1),(55,1),(67,1),(69,1),(71,1)}
      45:{3,5}:{(36,1),(39,1)}
      46:{2,4,6}:{(37,1),(55,1)}
      47:{2,3,6}:{(38,1),(39,1),(53,1)}
      48:{1,3,4,6}:{(39,1),(52,1),(54,1),(57,1),(69,1)}
      49:{2,4,5}:{(40,1),(41,1),(58,1)}
      50:{3,4,5}:{(40,1),(42,1),(45,1),(58,1),(59,1),(61,1)}
      51:{2,3,6}:{(41,1),(42,1),(58,1),(60,1)}
      52:{1,4,6}:{(42,1),(43,1),(59,1),(60,1)}
      53:{2,3,5}:{(44,1),(45,1),(47,1),(61,1)}
      54:{1,3,5}:{(45,1),(48,1),(59,1)}
      55:{2,4,5}:{(46,1),(64,1)}
      56:{2,3,4,6}:{(46,1),(47,1),(61,1),(64,1),(65,1),(74,1)}
      57:{1,2,3,6}:{(47,1),(48,1),(60,1),(62,1),(65,1),(80,1)}
      58:{2,3,5}:{(49,1),(50,1),(51,1),(66,1),(67,1)}
      59:{1,4,5}:{(50,1),(52,1),(54,1),(67,1),(69,1)}
      60:{1,2,6}:{(51,1),(52,1),(67,1)}
      61:{3,4}:{(53,1),(69,1)}
      62:{1,2,3,5}:{(53,1),(54,1),(57,1),(67,1),(69,1),(71,1),(77,1),(78,1)}
      63:{2,4,5,6}:{(55,1),(70,1)}
      64:{2,3,5}:{(55,1),(56,1),(68,1),(71,1)}
      65:{1,2,4,6}:{(56,1),(57,1),(69,1),(71,1),(79,1)}
      66:{2,3,4}:{(58,1),(61,1),(72,1)}
      67:{1,2,5}:{(58,1),(59,1),(60,1),(72,1)}
      68:{3,4,5}:{(61,1),(64,1),(74,1),(75,1)}
      69:{1,4}:{(61,1),(62,1)}
      70:{2,3,5,6}:{(63,1),(64,1),(74,1),(76,1)}
      71:{1,2,5}:{(64,1),(65,1),(75,1)}
      72:{1,2,4}:{(66,1),(67,1),(69,1),(77,1)}
      73:{1,3,4}:{(69,1),(77,1),(78,1)}
      74:{3,4,6}:{(68,1),(70,1),(79,1)}
      75:{1,4,5}:{(68,1),(69,1),(71,1),(78,1),(79,1)}
      76:{1,2,5,6}:{(70,1),(71,1),(79,1)}
      77:{1,2,3}:{(72,1),(73,1)}
      78:{1,3,5}:{(73,1),(75,1),(80,1)}
      79:{1,4,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

426 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{1,4,5}:{(1,1),(6,1),(7,1),(12,1)}
       5:{2,3,6}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{1,2,5}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{2,4,6}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{1,2,4}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,5}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,3}:{(10,1),(16,1)}
      14:{2,5,6}:{(11,1),(18,1)}
      15:{4,5}:{(11,1),(12,1),(18,1),(19,1)}
      16:{3,4}:{(12,1),(13,1),(19,1),(20,1)}
      17:{1,2,3}:{(13,1),(20,1)}
      18:{4,6}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,4}:{(16,1),(17,1),(22,1)}
      21:{3,6}:{(18,1),(19,1),(23,1)}
      22:{1,5}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

427 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

428 :  0:{2,4,5,6}:{(2,1),(18,1)}
       1:{3,4,5,6}:{(3,1),(4,1),(15,1),(34,1)}
       2:{2,3,5,6}:{(0,1),(6,1),(7,1),(22,1)}
       3:{2,3,5,6}:{(1,1),(9,1),(10,1),(22,1),(26,1)}
       4:{1,4,5,6}:{(1,1),(8,1),(9,1),(24,1),(25,1),(77,1)}
       5:{1,3,4,5}:{(11,1),(12,1),(35,1),(51,1)}
       6:{1,2,5,6}:{(2,1),(14,1),(32,1)}
       7:{3,4,6}:{(2,1),(14,1),(15,1)}
       8:{1,3,5,6}:{(4,1),(11,1),(33,1),(72,1)}
       9:{1,2,5,6}:{(3,1),(4,1),(17,1),(32,1),(80,1)}
      10:{2,4,6}:{(3,1),(18,1)}
      11:{1,3,4,6}:{(5,1),(8,1),(19,1),(25,1),(44,1),(63,1)}
      12:{1,2,3,5}:{(5,1),(19,1),(20,1),(38,1),(40,1)}
      13:{2,3,4,6}:{(7,1),(10,1),(21,1),(22,1),(26,1),(47,1)}
      14:{1,4,6}:{(6,1),(7,1),(23,1),(24,1)}
      15:{3,4,5}:{(7,1),(22,1),(24,1),(47,1)}
      16:{1,2,3,5,6}:{(8,1),(9,1),(19,1),(25,1),(26,1),(38,1),(43,1),(45,1),(60,1),(65,1),(79,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(25,1),(26,1),(27,1),(76,1),(79,1)}
      18:{2,4,5}:{(10,1),(22,1)}
      19:{1,2,3,6}:{(11,1),(12,1),(28,1),(52,1),(55,1)}
      20:{1,2,4}:{(12,1),(29,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(31,1),(32,1),(54,1)}
      22:{2,3,5}:{(13,1),(15,1),(18,1),(32,1)}
      23:{1,3,6}:{(14,1),(33,1)}
      24:{1,4,5}:{(14,1),(15,1),(32,1),(33,1),(54,1)}
      25:{1,4,6}:{(16,1),(34,1),(35,1),(54,1),(70,1)}
      26:{2,3,6}:{(17,1),(34,1),(36,1)}
      27:{1,2,4,5}:{(17,1),(18,1),(32,1),(35,1),(36,1),(54,1),(69,1),(73,1)}
      28:{1,2,4,6}:{(19,1),(20,1),(25,1),(37,1),(38,1),(66,1),(79,1)}
      29:{2,3,4}:{(20,1),(40,1)}
      30:{1,2,4,5}:{(20,1),(38,1),(40,1),(41,1),(59,1),(61,1)}
      31:{1,2,3,6}:{(21,1),(23,1),(26,1),(42,1),(43,1),(79,1)}
      32:{1,2,5}:{(21,1),(22,1),(24,1)}
      33:{1,3,5}:{(23,1),(24,1),(44,1)}
      34:{3,4,6}:{(25,1),(26,1),(45,1),(47,1)}
      35:{1,4,5}:{(25,1),(38,1),(45,1),(59,1)}
      36:{2,3,5}:{(26,1),(27,1),(45,1),(47,1)}
      37:{2,3,4,6}:{(28,1),(29,1),(34,1),(48,1),(52,1),(58,1),(70,1),(75,1)}
      38:{1,2,5}:{(28,1),(35,1),(48,1)}
      39:{1,2,3,4}:{(29,1),(50,1)}
      40:{2,3,5}:{(29,1),(30,1),(51,1),(52,1)}
      41:{1,2,4,6}:{(30,1),(49,1),(52,1),(70,1),(71,1)}
      42:{1,3,4,6}:{(31,1),(34,1),(53,1),(54,1),(74,1)}
      43:{1,2,3,5}:{(31,1),(32,1),(33,1),(36,1),(53,1),(54,1),(55,1),(73,1)}
      44:{1,3,4}:{(33,1),(54,1),(55,1)}
      45:{3,5}:{(34,1),(35,1)}
      46:{1,4,5,6}:{(35,1),(49,1),(57,1),(70,1),(74,1)}
      47:{3,4}:{(36,1),(54,1)}
      48:{2,3,5}:{(37,1),(38,1),(45,1),(59,1)}
      49:{1,2,5,6}:{(38,1),(41,1),(46,1),(60,1),(78,1),(79,1)}
      50:{1,2,3,5}:{(39,1),(40,1),(61,1),(62,1)}
      51:{3,4,5}:{(40,1),(59,1),(61,1),(63,1)}
      52:{2,3,6}:{(40,1),(41,1),(63,1)}
      53:{1,3,5}:{(42,1),(45,1),(64,1)}
      54:{1,4}:{(43,1),(47,1)}
      55:{1,2,3}:{(44,1),(66,1)}
      56:{3,4,5}:{(45,1),(47,1),(59,1),(64,1),(67,1),(68,1)}
      57:{3,5,6}:{(45,1),(46,1),(68,1)}
      58:{2,3,4}:{(47,1),(66,1),(67,1)}
      59:{4,5}:{(48,1),(70,1)}
      60:{2,3,5,6}:{(48,1),(49,1),(52,1),(57,1),(70,1),(72,1),(75,1),(80,1)}
      61:{1,4,5}:{(50,1),(51,1),(71,1)}
      62:{1,2,3,6}:{(50,1),(52,1),(71,1)}
      63:{3,4,6}:{(51,1),(52,1),(70,1),(71,1),(72,1)}
      64:{1,4,5}:{(53,1),(54,1),(56,1),(73,1),(74,1)}
      65:{1,3,5,6}:{(53,1),(57,1),(74,1)}
      66:{1,2,4}:{(54,1),(55,1),(58,1),(73,1)}
      67:{2,3,5}:{(56,1),(58,1),(69,1),(73,1),(75,1)}
      68:{3,4,6}:{(56,1),(57,1),(70,1),(74,1),(75,1)}
      69:{2,4,5}:{(59,1),(67,1),(76,1)}
      70:{4,6}:{(59,1),(60,1)}
      71:{1,4,6}:{(61,1),(62,1),(63,1),(78,1)}
      72:{3,5,6}:{(63,1),(77,1),(78,1)}
      73:{1,2,5}:{(64,1),(66,1),(67,1),(79,1)}
      74:{1,4,6}:{(64,1),(65,1),(68,1),(79,1)}
      75:{2,3,6}:{(67,1),(68,1),(76,1),(79,1)}
      76:{2,4,6}:{(69,1),(70,1),(75,1),(80,1)}
      77:{4,5,6}:{(70,1),(72,1),(80,1)}
      78:{1,5,6}:{(71,1),(72,1)}
      79:{1,2,6}:{(73,1),(74,1),(75,1)}
      80:{2,5,6}:{(76,1),(77,1)}

429 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

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

431 :  0:{3,4,5,6}:{(2,1),(3,1),(16,1),(30,1)}
       1:{2,4,5,6}:{(4,1),(14,1)}
       2:{2,3,5,6}:{(0,1),(6,1),(7,1),(18,1),(22,1)}
       3:{1,4,5,6}:{(0,1),(5,1),(6,1),(21,1),(25,1),(76,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1),(18,1)}
       5:{1,3,5,6}:{(3,1),(11,1),(33,1),(78,1)}
       6:{1,2,5,6}:{(2,1),(3,1),(13,1),(27,1),(79,1)}
       7:{2,4,6}:{(2,1),(14,1)}
       8:{1,2,5,6}:{(4,1),(15,1),(27,1)}
       9:{3,4,6}:{(4,1),(15,1),(16,1)}
      10:{2,3,4,6}:{(7,1),(9,1),(17,1),(18,1),(22,1),(41,1)}
      11:{1,3,4,6}:{(5,1),(19,1),(20,1),(21,1),(42,1),(74,1)}
      12:{1,2,3,5,6}:{(5,1),(6,1),(20,1),(21,1),(22,1),(35,1),(38,1),(39,1),(54,1),(60,1),(71,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(21,1),(22,1),(23,1),(71,1),(75,1)}
      14:{2,4,5}:{(7,1),(18,1)}
      15:{1,4,6}:{(8,1),(9,1),(24,1),(25,1)}
      16:{3,4,5}:{(9,1),(18,1),(25,1),(41,1)}
      17:{1,2,4,6}:{(10,1),(15,1),(26,1),(27,1),(44,1)}
      18:{2,3,5}:{(10,1),(14,1),(16,1),(27,1)}
      19:{1,3,4,5}:{(11,1),(28,1),(31,1),(66,1)}
      20:{1,2,3,6}:{(11,1),(28,1),(29,1),(52,1),(67,1)}
      21:{1,4,6}:{(12,1),(30,1),(31,1),(44,1),(69,1)}
      22:{2,3,6}:{(13,1),(30,1),(32,1)}
      23:{1,2,4,5}:{(13,1),(14,1),(27,1),(31,1),(32,1),(44,1),(63,1),(68,1)}
      24:{1,3,6}:{(15,1),(33,1)}
      25:{1,4,5}:{(15,1),(16,1),(27,1),(33,1),(44,1)}
      26:{1,2,3,6}:{(17,1),(22,1),(24,1),(34,1),(35,1),(71,1)}
      27:{1,2,5}:{(17,1),(18,1),(25,1)}
      28:{1,2,3,5}:{(19,1),(20,1),(36,1),(38,1),(57,1)}
      29:{1,2,4,6}:{(20,1),(21,1),(36,1),(37,1),(38,1),(55,1),(71,1)}
      30:{3,4,6}:{(21,1),(22,1),(39,1),(41,1)}
      31:{1,4,5}:{(21,1),(38,1),(39,1),(59,1)}
      32:{2,3,5}:{(22,1),(23,1),(39,1),(41,1)}
      33:{1,3,5}:{(24,1),(25,1),(42,1)}
      34:{1,3,4,6}:{(26,1),(30,1),(43,1),(44,1),(64,1)}
      35:{1,2,3,5}:{(26,1),(27,1),(32,1),(33,1),(43,1),(44,1),(52,1),(63,1)}
      36:{1,2,4}:{(28,1),(45,1)}
      37:{2,3,4,6}:{(29,1),(30,1),(45,1),(47,1),(51,1),(67,1),(69,1),(70,1)}
      38:{1,2,5}:{(29,1),(31,1),(47,1)}
      39:{3,5}:{(30,1),(31,1)}
      40:{1,4,5,6}:{(31,1),(48,1),(50,1),(64,1),(69,1)}
      41:{3,4}:{(32,1),(44,1)}
      42:{1,3,4}:{(33,1),(44,1),(52,1)}
      43:{1,3,5}:{(34,1),(39,1),(53,1)}
      44:{1,4}:{(35,1),(41,1)}
      45:{2,3,4}:{(36,1),(57,1)}
      46:{1,2,4,5}:{(36,1),(38,1),(57,1),(58,1),(59,1),(72,1)}
      47:{2,3,5}:{(37,1),(38,1),(39,1),(59,1)}
      48:{1,2,5,6}:{(38,1),(40,1),(58,1),(60,1),(71,1),(80,1)}
      49:{3,4,5}:{(39,1),(41,1),(53,1),(59,1),(61,1),(62,1)}
      50:{3,5,6}:{(39,1),(40,1),(62,1)}
      51:{2,3,4}:{(41,1),(55,1),(61,1)}
      52:{1,2,3}:{(42,1),(55,1)}
      53:{1,4,5}:{(43,1),(44,1),(49,1),(63,1),(64,1)}
      54:{1,3,5,6}:{(43,1),(50,1),(64,1)}
      55:{1,2,4}:{(44,1),(51,1),(52,1),(63,1)}
      56:{1,2,3,4}:{(45,1),(65,1)}
      57:{2,3,5}:{(45,1),(46,1),(66,1),(67,1)}
      58:{1,2,4,6}:{(46,1),(48,1),(67,1),(69,1),(77,1)}
      59:{4,5}:{(47,1),(69,1)}
      60:{2,3,5,6}:{(47,1),(48,1),(50,1),(67,1),(69,1),(70,1),(78,1),(79,1)}
      61:{2,3,5}:{(49,1),(51,1),(63,1),(68,1),(70,1)}
      62:{3,4,6}:{(49,1),(50,1),(64,1),(69,1),(70,1)}
      63:{1,2,5}:{(53,1),(55,1),(61,1),(71,1)}
      64:{1,4,6}:{(53,1),(54,1),(62,1),(71,1)}
      65:{1,2,3,5}:{(56,1),(57,1),(72,1),(73,1)}
      66:{3,4,5}:{(57,1),(59,1),(72,1),(74,1)}
      67:{2,3,6}:{(57,1),(58,1),(74,1)}
      68:{2,4,5}:{(59,1),(61,1),(75,1)}
      69:{4,6}:{(59,1),(60,1)}
      70:{2,3,6}:{(61,1),(62,1),(71,1),(75,1)}
      71:{1,2,6}:{(63,1),(64,1),(70,1)}
      72:{1,4,5}:{(65,1),(66,1),(77,1)}
      73:{1,2,3,6}:{(65,1),(67,1),(77,1)}
      74:{3,4,6}:{(66,1),(67,1),(69,1),(77,1),(78,1)}
      75:{2,4,6}:{(68,1),(69,1),(70,1),(79,1)}
      76:{4,5,6}:{(69,1),(78,1),(79,1)}
      77:{1,4,6}:{(72,1),(73,1),(74,1),(80,1)}
      78:{3,5,6}:{(74,1),(76,1),(80,1)}
      79:{2,5,6}:{(75,1),(76,1)}
      80:{1,5,6}:{(77,1),(78,1)}

432 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

433 :  0:{1,2,3,4,6}:{(1,1),(6,1),(14,1),(15,1),(27,1),(43,1),(54,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(8,1),(34,1),(50,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(15,1),(16,1),(17,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(36,1),(50,1),(57,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(19,1),(34,1),(36,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(42,1),(56,1),(59,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,4,5,6}:{(6,1),(16,1),(17,1),(30,1),(42,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(19,1),(20,1),(34,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(20,1),(21,1),(35,1)}
      14:{2,3,4}:{(8,1),(19,1),(57,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(50,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(34,1)}
      18:{3,4,5,6}:{(16,1),(25,1),(26,1),(30,1),(43,1),(44,1)}
      19:{1,2,4}:{(12,1),(14,1),(59,1)}
      20:{1,2,3,6}:{(12,1),(13,1),(15,1),(27,1)}
      21:{1,3,5,6}:{(13,1),(16,1),(25,1),(56,1)}
      22:{2,3,4,6}:{(14,1),(15,1),(27,1),(29,1),(30,1),(43,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(29,1),(30,1)}
      24:{1,2,4,5,6}:{(17,1),(30,1),(31,1),(39,1),(40,1),(42,1),(45,1),(55,1)}
      25:{1,4,5,6}:{(18,1),(21,1),(32,1),(35,1),(52,1)}
      26:{2,3,5,6}:{(18,1),(32,1),(33,1),(47,1),(48,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(34,1),(35,1)}
      28:{1,2,3,5,6}:{(20,1),(21,1),(23,1),(32,1),(34,1),(35,1),(47,1),(50,1),(58,1)}
      29:{2,3,5}:{(22,1),(34,1),(36,1),(50,1)}
      30:{4,6}:{(23,1),(36,1)}
      31:{2,3,5,6}:{(24,1),(37,1),(47,1),(48,1),(50,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(39,1),(55,1)}
      33:{2,4,6}:{(26,1),(30,1),(40,1)}
      34:{1,2,5}:{(27,1),(29,1),(42,1)}
      35:{1,4,6}:{(28,1),(30,1),(42,1),(43,1),(59,1)}
      36:{4,5}:{(29,1),(30,1)}
      37:{3,4,6}:{(30,1),(31,1),(44,1),(45,1)}
      38:{1,2,3,5,6}:{(31,1),(45,1),(54,1),(55,1),(56,1)}
      39:{1,2,4,6}:{(32,1),(33,1),(35,1),(46,1),(47,1)}
      40:{2,4,5}:{(33,1),(36,1),(48,1)}
      41:{2,3,4,6}:{(33,1),(37,1),(47,1),(48,1),(49,1),(57,1)}
      42:{1,4,5}:{(34,1),(35,1),(36,1),(50,1)}
      43:{3,4,6}:{(35,1),(47,1),(50,1),(57,1)}
      44:{3,4,5}:{(36,1),(37,1),(48,1),(50,1),(52,1),(57,1)}
      45:{1,4,6}:{(37,1),(38,1),(52,1)}
      46:{1,2,4,5}:{(39,1),(40,1),(42,1),(53,1),(55,1),(59,1)}
      47:{2,3,6}:{(39,1),(43,1),(53,1)}
      48:{2,3,5}:{(40,1),(41,1),(44,1),(55,1)}
      49:{1,2,4,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{3,5}:{(42,1),(43,1)}
      51:{1,3,4,6}:{(43,1),(45,1),(54,1),(56,1),(59,1)}
      52:{1,4,5}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      53:{2,3,5}:{(46,1),(47,1),(50,1),(57,1)}
      54:{1,2,3,6}:{(47,1),(49,1),(51,1),(58,1)}
      55:{1,2,5}:{(48,1),(49,1),(52,1)}
      56:{1,3,5}:{(50,1),(51,1),(52,1)}
      57:{3,4}:{(53,1),(59,1)}
      58:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

434 :  0:{1,2,3,4}:{(2,1),(16,1)}
       1:{1,3,4,5}:{(3,1),(4,1),(13,1),(35,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(21,1)}
       3:{1,2,3,5}:{(1,1),(8,1),(9,1),(21,1),(26,1)}
       4:{1,3,4,6}:{(1,1),(9,1),(10,1),(22,1),(27,1),(77,1)}
       5:{3,4,5,6}:{(11,1),(12,1),(36,1),(48,1)}
       6:{1,4,5}:{(2,1),(13,1),(15,1)}
       7:{1,2,3,6}:{(2,1),(15,1),(31,1)}
       8:{1,2,4}:{(3,1),(16,1)}
       9:{1,2,3,6}:{(3,1),(4,1),(17,1),(31,1),(80,1)}
      10:{1,3,5,6}:{(4,1),(11,1),(32,1),(69,1)}
      11:{1,4,5,6}:{(5,1),(10,1),(19,1),(27,1),(42,1),(60,1)}
      12:{2,3,5,6}:{(5,1),(19,1),(20,1),(38,1),(40,1)}
      13:{3,4,5}:{(6,1),(21,1),(22,1),(45,1)}
      14:{1,2,4,5}:{(6,1),(8,1),(21,1),(23,1),(26,1),(45,1)}
      15:{1,4,6}:{(6,1),(7,1),(22,1),(24,1)}
      16:{2,3,4}:{(8,1),(21,1)}
      17:{1,2,4,6}:{(8,1),(9,1),(25,1),(26,1),(27,1),(78,1),(79,1)}
      18:{1,2,3,5,6}:{(9,1),(10,1),(19,1),(26,1),(27,1),(38,1),(43,1),(46,1),(62,1),(66,1),(79,1)}
      19:{1,2,5,6}:{(11,1),(12,1),(28,1),(52,1),(53,1)}
      20:{2,4,6}:{(12,1),(29,1)}
      21:{2,3,5}:{(13,1),(14,1),(16,1),(31,1)}
      22:{3,4,6}:{(13,1),(15,1),(31,1),(32,1),(54,1)}
      23:{1,2,4,6}:{(14,1),(15,1),(31,1),(33,1),(54,1)}
      24:{1,5,6}:{(15,1),(32,1)}
      25:{2,3,4,6}:{(16,1),(17,1),(31,1),(34,1),(36,1),(54,1),(71,1),(73,1)}
      26:{1,2,5}:{(17,1),(34,1),(35,1)}
      27:{1,4,6}:{(18,1),(35,1),(36,1),(54,1),(72,1)}
      28:{1,2,4,6}:{(19,1),(20,1),(27,1),(37,1),(38,1),(64,1),(79,1)}
      29:{2,4,5}:{(20,1),(40,1)}
      30:{2,3,4,6}:{(20,1),(38,1),(40,1),(41,1),(59,1),(61,1)}
      31:{2,3,6}:{(21,1),(22,1),(23,1)}
      32:{3,5,6}:{(22,1),(24,1),(42,1)}
      33:{1,2,5,6}:{(23,1),(24,1),(26,1),(43,1),(44,1),(79,1)}
      34:{2,3,5}:{(25,1),(26,1),(45,1),(46,1)}
      35:{1,4,5}:{(26,1),(27,1),(45,1),(46,1)}
      36:{3,4,6}:{(27,1),(38,1),(46,1),(61,1)}
      37:{1,2,4,5}:{(28,1),(29,1),(35,1),(49,1),(52,1),(56,1),(72,1),(75,1)}
      38:{2,3,6}:{(28,1),(36,1),(49,1)}
      39:{2,4,5,6}:{(29,1),(51,1)}
      40:{2,3,5}:{(29,1),(30,1),(48,1),(52,1)}
      41:{1,2,4,6}:{(30,1),(50,1),(52,1),(70,1),(72,1)}
      42:{4,5,6}:{(32,1),(53,1),(54,1)}
      43:{2,3,5,6}:{(31,1),(32,1),(33,1),(34,1),(53,1),(54,1),(55,1),(73,1)}
      44:{1,4,5,6}:{(33,1),(35,1),(54,1),(55,1),(74,1)}
      45:{4,5}:{(34,1),(54,1)}
      46:{3,5}:{(35,1),(36,1)}
      47:{1,3,4,6}:{(36,1),(50,1),(58,1),(72,1),(74,1)}
      48:{3,4,5}:{(40,1),(59,1),(60,1),(61,1)}
      49:{2,3,5}:{(37,1),(38,1),(46,1),(61,1)}
      50:{1,2,3,6}:{(38,1),(41,1),(47,1),(62,1),(76,1),(79,1)}
      51:{2,3,5,6}:{(39,1),(40,1),(59,1),(63,1)}
      52:{1,2,5}:{(40,1),(41,1),(60,1)}
      53:{2,5,6}:{(42,1),(64,1)}
      54:{4,6}:{(43,1),(45,1)}
      55:{3,5,6}:{(44,1),(46,1),(65,1)}
      56:{2,4,5}:{(45,1),(64,1),(67,1)}
      57:{3,4,5}:{(45,1),(46,1),(61,1),(65,1),(67,1),(68,1)}
      58:{1,3,5}:{(46,1),(47,1),(68,1)}
      59:{3,4,6}:{(48,1),(51,1),(70,1)}
      60:{1,4,5}:{(48,1),(52,1),(69,1),(70,1),(72,1)}
      61:{3,4}:{(49,1),(72,1)}
      62:{1,2,3,5}:{(49,1),(50,1),(52,1),(58,1),(69,1),(72,1),(75,1),(80,1)}
      63:{1,2,5,6}:{(51,1),(52,1),(70,1)}
      64:{2,4,6}:{(53,1),(54,1),(56,1),(73,1)}
      65:{3,4,6}:{(54,1),(55,1),(57,1),(73,1),(74,1)}
      66:{1,3,5,6}:{(55,1),(58,1),(74,1)}
      67:{2,3,5}:{(56,1),(57,1),(71,1),(73,1),(75,1)}
      68:{1,4,5}:{(57,1),(58,1),(72,1),(74,1),(75,1)}
      69:{1,3,5}:{(60,1),(76,1),(77,1)}
      70:{1,4,6}:{(59,1),(60,1),(63,1),(76,1)}
      71:{2,3,4}:{(61,1),(67,1),(78,1)}
      72:{1,4}:{(61,1),(62,1)}
      73:{2,3,6}:{(64,1),(65,1),(67,1),(79,1)}
      74:{1,4,6}:{(65,1),(66,1),(68,1),(79,1)}
      75:{1,2,5}:{(67,1),(68,1),(78,1),(79,1)}
      76:{1,3,6}:{(69,1),(70,1)}
      77:{1,3,4}:{(69,1),(72,1),(80,1)}
      78:{1,2,4}:{(71,1),(72,1),(75,1),(80,1)}
      79:{1,2,6}:{(73,1),(74,1),(75,1)}
      80:{1,2,3}:{(77,1),(78,1)}

435 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(3,1),(4,1),(16,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(18,1)}
       3:{1,2,3,5}:{(1,1),(6,1),(7,1),(13,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(7,1),(8,1),(14,1)}
       5:{2,3,5,6}:{(2,1),(8,1),(9,1),(15,1)}
       6:{1,3,4}:{(3,1)}
       7:{1,2,3,6}:{(3,1),(4,1),(10,1)}
       8:{1,2,5,6}:{(4,1),(5,1),(12,1)}
       9:{4,5,6}:{(5,1)}
      10:{1,3,4,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(8,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,4,5,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{1,3,5}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{3,5,6}:{(12,1),(18,1)}
      16:{1,4,5}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{3,4,6}:{(14,1),(15,1),(20,1),(21,1)}
      19:{1,2,5}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{2,3,6}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

436 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

437 :  0:{1,2,3,4,6}:{(1,1),(5,1),(19,1),(22,1),(41,1),(45,1),(54,1),(57,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(12,1),(50,1),(58,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(17,1),(18,1),(19,1)}
       3:{1,4,5}:{(1,1),(5,1),(7,1),(57,1)}
       4:{1,2,4,5,6}:{(8,1),(17,1),(26,1),(40,1),(43,1),(44,1),(46,1),(55,1)}
       5:{1,4,6}:{(2,1),(3,1),(11,1)}
       6:{1,2,4,5}:{(3,1),(10,1),(12,1),(32,1),(49,1),(50,1)}
       7:{3,4,5}:{(3,1),(11,1),(12,1),(49,1),(58,1),(59,1)}
       8:{2,3,5,6}:{(4,1),(16,1),(36,1),(51,1),(58,1)}
       9:{1,4,5,6}:{(5,1),(17,1),(18,1),(40,1),(55,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(17,1),(19,1),(40,1)}
      11:{3,4,6}:{(5,1),(7,1),(18,1),(19,1),(40,1)}
      12:{2,3,5}:{(6,1),(7,1),(19,1),(22,1)}
      13:{1,3,4,5}:{(7,1),(20,1),(21,1),(47,1),(55,1),(57,1)}
      14:{3,4,5,6}:{(18,1),(23,1),(24,1),(27,1),(40,1),(54,1)}
      15:{1,2,3,5,6}:{(8,1),(26,1),(45,1),(46,1),(47,1)}
      16:{3,4,6}:{(8,1),(26,1),(27,1),(40,1)}
      17:{1,2,5,6}:{(9,1),(10,1),(28,1),(50,1)}
      18:{3,5,6}:{(9,1),(11,1),(58,1)}
      19:{2,3,6}:{(10,1),(11,1),(12,1)}
      20:{1,3,4,6}:{(11,1),(13,1),(29,1),(30,1),(48,1)}
      21:{1,2,3,5}:{(12,1),(13,1),(30,1),(32,1),(50,1)}
      22:{2,3,4}:{(12,1),(32,1),(59,1)}
      23:{2,3,5,6}:{(14,1),(33,1),(34,1),(36,1),(51,1)}
      24:{1,4,5,6}:{(14,1),(29,1),(33,1),(38,1),(48,1)}
      25:{2,3,4,6}:{(16,1),(34,1),(35,1),(36,1),(51,1),(59,1)}
      26:{1,4,6}:{(15,1),(16,1),(38,1)}
      27:{3,4,5}:{(16,1),(36,1),(38,1),(49,1),(58,1),(59,1)}
      28:{2,3,5,6}:{(17,1),(18,1),(19,1),(40,1),(42,1)}
      29:{1,3,5,6}:{(18,1),(20,1),(24,1),(47,1)}
      30:{1,2,3,6}:{(19,1),(20,1),(21,1),(41,1)}
      31:{2,3,4,6}:{(19,1),(22,1),(40,1),(41,1),(42,1),(54,1)}
      32:{1,2,4}:{(21,1),(22,1),(57,1)}
      33:{1,2,5,6}:{(23,1),(24,1),(43,1),(46,1)}
      34:{2,4,6}:{(23,1),(40,1),(44,1)}
      35:{1,2,4,6}:{(25,1),(26,1),(45,1),(46,1),(57,1)}
      36:{2,3,5}:{(25,1),(27,1),(44,1),(46,1)}
      37:{1,3,4,6}:{(26,1),(45,1),(47,1),(54,1),(57,1)}
      38:{1,4,5}:{(26,1),(27,1),(46,1),(47,1),(57,1)}
      39:{1,2,3,5,6}:{(28,1),(29,1),(30,1),(33,1),(48,1),(50,1),(51,1),(53,1),(58,1)}
      40:{4,6}:{(28,1),(49,1)}
      41:{1,2,4,6}:{(30,1),(31,1),(32,1),(48,1),(50,1)}
      42:{2,3,5}:{(31,1),(49,1),(50,1),(58,1)}
      43:{1,2,4,6}:{(33,1),(34,1),(48,1),(51,1),(52,1)}
      44:{2,4,5}:{(34,1),(36,1),(49,1)}
      45:{1,2,3,6}:{(35,1),(37,1),(51,1),(53,1)}
      46:{1,2,5}:{(35,1),(36,1),(38,1)}
      47:{1,3,5}:{(37,1),(38,1),(58,1)}
      48:{1,4,6}:{(39,1),(40,1),(54,1),(55,1),(57,1)}
      49:{4,5}:{(40,1),(42,1)}
      50:{1,2,5}:{(41,1),(42,1),(55,1)}
      51:{2,3,6}:{(43,1),(54,1),(56,1)}
      52:{1,2,4,5}:{(43,1),(44,1),(46,1),(55,1),(56,1),(57,1)}
      53:{1,2,3,5}:{(45,1),(46,1),(47,1),(56,1),(57,1)}
      54:{3,4,6}:{(48,1),(51,1),(58,1),(59,1)}
      55:{1,4,5}:{(48,1),(49,1),(50,1),(58,1)}
      56:{2,3,5}:{(51,1),(52,1),(58,1),(59,1)}
      57:{1,4}:{(53,1),(59,1)}
      58:{3,5}:{(54,1),(55,1)}
      59:{3,4}:{(56,1),(57,1)}

438 :  0:{1,3,4,5,6}:{(1,1),(9,1),(17,1),(27,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(17,1)}
       3:{2,3,4,6}:{(2,1),(6,1),(14,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(11,1)}
       5:{1,2,3,4,6}:{(3,1),(8,1),(17,1),(25,1),(26,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,4,5,6}:{(4,1),(10,1),(17,1),(28,1),(29,1)}
       8:{1,2,3,5}:{(5,1),(6,1),(11,1)}
       9:{3,4,5}:{(6,1),(11,1),(14,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(14,1)}
      11:{1,4,5}:{(8,1),(9,1),(17,1)}
      12:{1,2,3,5,6}:{(8,1),(10,1),(17,1),(26,1),(27,1),(28,1)}
      13:{2,3,4,5}:{(9,1),(16,1),(18,1),(42,1)}
      14:{3,4,6}:{(9,1),(10,1),(17,1)}
      15:{1,3,4,5}:{(11,1),(20,1),(21,1),(38,1)}
      16:{1,2,4,5}:{(11,1),(13,1),(20,1),(22,1),(38,1)}
      17:{1,4,6}:{(11,1),(12,1),(14,1)}
      18:{2,3,4,6}:{(13,1),(14,1),(22,1),(24,1),(40,1)}
      19:{3,4,5,6}:{(14,1),(23,1),(24,1),(40,1)}
      20:{1,2,3,5}:{(15,1),(16,1),(25,1),(26,1)}
      21:{1,3,4,6}:{(15,1),(17,1),(26,1),(27,1),(36,1)}
      22:{1,2,4,6}:{(16,1),(17,1),(18,1),(26,1),(28,1),(36,1)}
      23:{1,4,5,6}:{(17,1),(19,1),(27,1),(28,1),(36,1)}
      24:{2,3,5,6}:{(18,1),(19,1),(28,1),(29,1)}
      25:{1,2,3,4}:{(20,1)}
      26:{1,2,3,6}:{(20,1),(21,1),(22,1)}
      27:{1,3,5,6}:{(21,1),(23,1)}
      28:{1,2,5,6}:{(22,1),(23,1),(24,1)}
      29:{2,4,5,6}:{(24,1)}
      30:{1,2,3,4,6}:{(25,1),(26,1),(34,1),(36,1),(43,1)}
      31:{1,3,4,5,6}:{(27,1),(35,1),(36,1),(42,1)}
      32:{1,2,3,5,6}:{(26,1),(27,1),(28,1),(34,1),(36,1),(37,1)}
      33:{1,2,4,5,6}:{(28,1),(29,1),(36,1),(37,1),(41,1)}
      34:{1,2,3,5}:{(30,1),(38,1),(44,1)}
      35:{1,2,3,5,6}:{(31,1),(39,1),(44,1)}
      36:{1,4,6}:{(32,1),(38,1),(40,1)}
      37:{2,3,5,6}:{(33,1),(40,1),(44,1)}
      38:{1,4,5}:{(34,1),(36,1),(42,1)}
      39:{1,2,4,6}:{(35,1),(36,1),(41,1),(43,1)}
      40:{3,4,6}:{(36,1),(37,1),(42,1)}
      41:{1,2,4,5}:{(38,1),(39,1),(44,1)}
      42:{3,4,5}:{(38,1),(40,1),(44,1)}
      43:{2,3,4,6}:{(39,1),(40,1),(44,1)}
      44:{2,3,5}:{(41,1),(42,1),(43,1)}

439 :  0:{2,4,5,6}:{(1,1),(20,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(4,1),(14,1)}
       2:{3,4,5,6}:{(5,1),(6,1),(9,1),(34,1)}
       3:{1,2,5,6}:{(1,1),(8,1),(22,1)}
       4:{3,4,6}:{(1,1),(8,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(11,1),(12,1),(14,1),(27,1)}
       6:{1,4,5,6}:{(2,1),(10,1),(11,1),(16,1),(26,1),(76,1)}
       7:{2,3,4,6}:{(4,1),(12,1),(13,1),(14,1),(27,1),(45,1)}
       8:{1,4,6}:{(3,1),(4,1),(15,1),(16,1)}
       9:{3,4,5}:{(4,1),(14,1),(16,1),(45,1)}
      10:{1,3,5,6}:{(6,1),(17,1),(23,1),(78,1)}
      11:{1,2,5,6}:{(5,1),(6,1),(19,1),(22,1),(79,1)}
      12:{2,4,6}:{(5,1),(20,1)}
      13:{1,2,4,6}:{(7,1),(8,1),(21,1),(22,1),(38,1)}
      14:{2,3,5}:{(7,1),(9,1),(20,1),(22,1)}
      15:{1,3,6}:{(8,1),(23,1)}
      16:{1,4,5}:{(8,1),(9,1),(22,1),(23,1),(38,1)}
      17:{1,3,4,6}:{(10,1),(24,1),(25,1),(26,1),(31,1),(74,1)}
      18:{1,2,3,5,6}:{(10,1),(11,1),(25,1),(26,1),(27,1),(30,1),(42,1),(43,1),(47,1),(62,1),(65,1)}
      19:{1,2,4,6}:{(11,1),(12,1),(26,1),(27,1),(28,1),(65,1),(75,1)}
      20:{2,4,5}:{(12,1),(14,1)}
      21:{1,2,3,6}:{(13,1),(15,1),(27,1),(29,1),(30,1),(65,1)}
      22:{1,2,5}:{(13,1),(14,1),(16,1)}
      23:{1,3,5}:{(15,1),(16,1),(31,1)}
      24:{1,3,4,5}:{(17,1),(32,1),(35,1),(67,1)}
      25:{1,2,3,6}:{(17,1),(32,1),(33,1),(39,1),(68,1)}
      26:{1,4,6}:{(18,1),(34,1),(35,1),(38,1),(70,1)}
      27:{2,3,6}:{(19,1),(34,1),(36,1)}
      28:{1,2,4,5}:{(19,1),(20,1),(22,1),(35,1),(36,1),(38,1),(56,1),(69,1)}
      29:{1,3,4,6}:{(21,1),(34,1),(37,1),(38,1),(57,1)}
      30:{1,2,3,5}:{(21,1),(22,1),(23,1),(36,1),(37,1),(38,1),(39,1),(56,1)}
      31:{1,3,4}:{(23,1),(38,1),(39,1)}
      32:{1,2,3,5}:{(24,1),(25,1),(40,1),(42,1),(59,1)}
      33:{1,2,4,6}:{(25,1),(26,1),(40,1),(41,1),(42,1),(48,1),(65,1)}
      34:{3,4,6}:{(26,1),(27,1),(43,1),(45,1)}
      35:{1,4,5}:{(26,1),(42,1),(43,1),(61,1)}
      36:{2,3,5}:{(27,1),(28,1),(43,1),(45,1)}
      37:{1,3,5}:{(29,1),(43,1),(46,1)}
      38:{1,4}:{(30,1),(45,1)}
      39:{1,2,3}:{(31,1),(48,1)}
      40:{1,2,4}:{(32,1),(49,1)}
      41:{2,3,4,6}:{(33,1),(34,1),(49,1),(51,1),(55,1),(68,1),(70,1),(71,1)}
      42:{1,2,5}:{(33,1),(35,1),(51,1)}
      43:{3,5}:{(34,1),(35,1)}
      44:{1,4,5,6}:{(35,1),(52,1),(54,1),(57,1),(70,1)}
      45:{3,4}:{(36,1),(38,1)}
      46:{1,4,5}:{(37,1),(38,1),(53,1),(56,1),(57,1)}
      47:{1,3,5,6}:{(37,1),(54,1),(57,1)}
      48:{1,2,4}:{(38,1),(39,1),(55,1),(56,1)}
      49:{2,3,4}:{(40,1),(59,1)}
      50:{1,2,4,5}:{(40,1),(42,1),(59,1),(60,1),(61,1),(72,1)}
      51:{2,3,5}:{(41,1),(42,1),(43,1),(61,1)}
      52:{1,2,5,6}:{(42,1),(44,1),(60,1),(62,1),(65,1),(80,1)}
      53:{3,4,5}:{(43,1),(45,1),(46,1),(61,1),(63,1),(64,1)}
      54:{3,5,6}:{(43,1),(44,1),(64,1)}
      55:{2,3,4}:{(45,1),(48,1),(63,1)}
      56:{1,2,5}:{(46,1),(48,1),(63,1),(65,1)}
      57:{1,4,6}:{(46,1),(47,1),(64,1),(65,1)}
      58:{1,2,3,4}:{(49,1),(66,1)}
      59:{2,3,5}:{(49,1),(50,1),(67,1),(68,1)}
      60:{1,2,4,6}:{(50,1),(52,1),(68,1),(70,1),(77,1)}
      61:{4,5}:{(51,1),(70,1)}
      62:{2,3,5,6}:{(51,1),(52,1),(54,1),(68,1),(70,1),(71,1),(78,1),(79,1)}
      63:{2,3,5}:{(53,1),(55,1),(56,1),(69,1),(71,1)}
      64:{3,4,6}:{(53,1),(54,1),(57,1),(70,1),(71,1)}
      65:{1,2,6}:{(56,1),(57,1),(71,1)}
      66:{1,2,3,5}:{(58,1),(59,1),(72,1),(73,1)}
      67:{3,4,5}:{(59,1),(61,1),(72,1),(74,1)}
      68:{2,3,6}:{(59,1),(60,1),(74,1)}
      69:{2,4,5}:{(61,1),(63,1),(75,1)}
      70:{4,6}:{(61,1),(62,1)}
      71:{2,3,6}:{(63,1),(64,1),(65,1),(75,1)}
      72:{1,4,5}:{(66,1),(67,1),(77,1)}
      73:{1,2,3,6}:{(66,1),(68,1),(77,1)}
      74:{3,4,6}:{(67,1),(68,1),(70,1),(77,1),(78,1)}
      75:{2,4,6}:{(69,1),(70,1),(71,1),(79,1)}
      76:{4,5,6}:{(70,1),(78,1),(79,1)}
      77:{1,4,6}:{(72,1),(73,1),(74,1),(80,1)}
      78:{3,5,6}:{(74,1),(76,1),(80,1)}
      79:{2,5,6}:{(75,1),(76,1)}
      80:{1,5,6}:{(77,1),(78,1)}

440 :  0:{1,3,5,6}:{(1,1),(6,1)}
       1:{1,4,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(12,1)}
       3:{1,2,6}:{(1,1),(5,1),(7,1),(23,1)}
       4:{1,4,5}:{(1,1),(6,1),(7,1),(12,1)}
       5:{2,3,6}:{(2,1),(3,1),(8,1),(9,1),(21,1)}
       6:{3,5}:{(2,1),(4,1)}
       7:{1,2,5}:{(3,1),(4,1),(9,1),(10,1),(22,1)}
       8:{2,4,6}:{(5,1),(11,1),(12,1),(18,1)}
       9:{2,3,5}:{(5,1),(6,1),(7,1),(11,1),(12,1),(13,1),(19,1)}
      10:{1,2,4}:{(7,1),(12,1),(13,1),(20,1)}
      11:{2,5}:{(8,1),(15,1)}
      12:{4}:{(9,1)}
      13:{2,3}:{(10,1),(16,1)}
      14:{2,5,6}:{(11,1),(18,1)}
      15:{4,5}:{(11,1),(12,1),(18,1),(19,1)}
      16:{3,4}:{(12,1),(13,1),(19,1),(20,1)}
      17:{1,2,3}:{(13,1),(20,1)}
      18:{4,6}:{(14,1),(15,1),(21,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,4}:{(16,1),(17,1),(22,1)}
      21:{3,6}:{(18,1),(19,1),(23,1)}
      22:{1,5}:{(19,1),(20,1),(23,1)}
      23:{1,6}:{(21,1),(22,1)}

441 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

442 :  0:{1,3,4,5}:{(2,1),(3,1),(31,1),(34,1)}
       1:{3,4,5,6}:{(4,1),(5,1),(30,1),(36,1)}
       2:{1,3,4,6}:{(0,1),(6,1),(7,1),(19,1),(48,1),(72,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(21,1),(22,1)}
       4:{2,3,5,6}:{(1,1),(9,1),(10,1),(25,1),(26,1)}
       5:{1,4,5,6}:{(1,1),(6,1),(9,1),(19,1),(49,1),(71,1)}
       6:{1,3,5,6}:{(2,1),(5,1),(60,1),(61,1)}
       7:{1,2,3,6}:{(2,1),(3,1),(12,1),(35,1),(79,1)}
       8:{1,2,4}:{(3,1),(13,1)}
       9:{1,2,5,6}:{(4,1),(5,1),(16,1),(38,1),(78,1)}
      10:{2,4,6}:{(4,1),(17,1)}
      11:{1,2,3,5,6}:{(6,1),(7,1),(9,1),(19,1),(21,1),(26,1),(44,1),(47,1),(51,1),(67,1),(80,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(19,1),(20,1),(21,1),(74,1),(80,1)}
      13:{2,3,4}:{(8,1),(22,1)}
      14:{1,2,4,5}:{(8,1),(21,1),(22,1),(23,1),(41,1),(46,1)}
      15:{2,3,4,6}:{(10,1),(24,1),(25,1),(26,1),(50,1),(53,1)}
      16:{1,2,4,6}:{(9,1),(10,1),(19,1),(26,1),(27,1),(70,1),(80,1)}
      17:{2,4,5}:{(10,1),(25,1)}
      18:{1,2,3,4}:{(13,1),(29,1)}
      19:{1,4,6}:{(11,1),(30,1),(31,1),(59,1),(63,1)}
      20:{2,3,4,6}:{(12,1),(13,1),(30,1),(32,1),(35,1),(59,1),(64,1),(77,1)}
      21:{1,2,5}:{(12,1),(31,1),(32,1)}
      22:{2,3,5}:{(13,1),(14,1),(34,1),(35,1)}
      23:{1,2,4,6}:{(14,1),(33,1),(35,1),(54,1),(59,1)}
      24:{1,2,4,6}:{(15,1),(37,1),(38,1),(62,1),(63,1)}
      25:{2,3,5}:{(15,1),(17,1),(36,1),(38,1)}
      26:{2,3,6}:{(16,1),(30,1),(40,1)}
      27:{1,2,4,5}:{(16,1),(17,1),(31,1),(38,1),(40,1),(58,1),(63,1),(75,1)}
      28:{2,4,5,6}:{(17,1),(39,1)}
      29:{1,2,3,5}:{(18,1),(22,1),(41,1),(42,1)}
      30:{3,4,6}:{(19,1),(26,1),(44,1),(53,1)}
      31:{1,4,5}:{(19,1),(21,1),(44,1),(46,1)}
      32:{2,3,5}:{(20,1),(21,1),(44,1),(46,1)}
      33:{1,2,5,6}:{(21,1),(23,1),(45,1),(47,1),(65,1),(80,1)}
      34:{3,4,5}:{(22,1),(41,1),(46,1),(48,1)}
      35:{2,3,6}:{(22,1),(23,1),(48,1)}
      36:{3,4,5}:{(25,1),(49,1),(50,1),(53,1)}
      37:{1,2,3,6}:{(24,1),(26,1),(43,1),(51,1),(73,1),(80,1)}
      38:{1,2,5}:{(24,1),(25,1),(49,1)}
      39:{2,3,5,6}:{(25,1),(28,1),(50,1),(52,1)}
      40:{2,3,5}:{(26,1),(27,1),(44,1),(53,1)}
      41:{1,4,5}:{(29,1),(34,1),(54,1)}
      42:{1,2,3,6}:{(29,1),(35,1),(54,1)}
      43:{1,3,4,6}:{(30,1),(37,1),(55,1),(63,1),(76,1)}
      44:{3,5}:{(30,1),(31,1)}
      45:{1,4,5,6}:{(31,1),(33,1),(57,1),(59,1),(76,1)}
      46:{4,5}:{(32,1),(59,1)}
      47:{2,3,5,6}:{(32,1),(33,1),(35,1),(57,1),(59,1),(60,1),(77,1),(78,1)}
      48:{3,4,6}:{(34,1),(35,1),(54,1),(59,1),(60,1)}
      49:{1,4,5}:{(36,1),(38,1),(61,1),(62,1),(63,1)}
      50:{3,4,6}:{(36,1),(39,1),(62,1)}
      51:{1,2,3,5}:{(37,1),(38,1),(40,1),(55,1),(61,1),(63,1),(75,1),(79,1)}
      52:{1,2,5,6}:{(38,1),(39,1),(62,1)}
      53:{3,4}:{(40,1),(63,1)}
      54:{1,4,6}:{(41,1),(42,1),(48,1),(65,1)}
      55:{1,3,5}:{(43,1),(44,1),(66,1)}
      56:{3,4,5}:{(44,1),(46,1),(53,1),(66,1),(68,1),(69,1)}
      57:{3,5,6}:{(44,1),(45,1),(69,1)}
      58:{2,4,5}:{(46,1),(68,1),(70,1)}
      59:{4,6}:{(46,1),(47,1)}
      60:{3,5,6}:{(48,1),(65,1),(71,1)}
      61:{1,3,5}:{(49,1),(72,1),(73,1)}
      62:{1,4,6}:{(49,1),(50,1),(52,1),(73,1)}
      63:{1,4}:{(51,1),(53,1)}
      64:{2,3,4}:{(53,1),(68,1),(74,1)}
      65:{1,5,6}:{(54,1),(60,1)}
      66:{1,4,5}:{(55,1),(56,1),(63,1),(75,1),(76,1)}
      67:{1,3,5,6}:{(55,1),(57,1),(76,1)}
      68:{2,3,5}:{(56,1),(58,1),(64,1),(75,1),(77,1)}
      69:{3,4,6}:{(56,1),(57,1),(59,1),(76,1),(77,1)}
      70:{2,4,6}:{(58,1),(59,1),(77,1),(78,1)}
      71:{4,5,6}:{(59,1),(60,1),(78,1)}
      72:{1,3,4}:{(61,1),(63,1),(79,1)}
      73:{1,3,6}:{(61,1),(62,1)}
      74:{1,2,4}:{(63,1),(64,1),(75,1),(79,1)}
      75:{1,2,5}:{(66,1),(68,1),(74,1),(80,1)}
      76:{1,4,6}:{(66,1),(67,1),(69,1),(80,1)}
      77:{2,3,6}:{(68,1),(69,1),(70,1),(80,1)}
      78:{2,5,6}:{(70,1),(71,1)}
      79:{1,2,3}:{(72,1),(74,1)}
      80:{1,2,6}:{(75,1),(76,1),(77,1)}

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

444 :  0:{1,2,3,4,6}:{(1,1),(4,1),(14,1),(17,1),(30,1),(44,1),(53,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(10,1),(38,1),(52,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(12,1),(13,1),(14,1)}
       3:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       4:{1,4,6}:{(2,1),(3,1),(9,1)}
       5:{1,2,4,5}:{(3,1),(8,1),(10,1),(24,1),(37,1),(38,1)}
       6:{3,4,5}:{(3,1),(9,1),(10,1),(37,1),(52,1),(58,1)}
       7:{1,4,5,6}:{(4,1),(12,1),(13,1),(29,1),(45,1)}
       8:{1,2,4,6}:{(4,1),(5,1),(12,1),(14,1),(29,1)}
       9:{3,4,6}:{(4,1),(6,1),(13,1),(14,1),(29,1)}
      10:{2,3,5}:{(5,1),(6,1),(14,1),(17,1)}
      11:{1,3,4,5}:{(6,1),(15,1),(16,1),(45,1),(56,1),(59,1)}
      12:{1,2,5,6}:{(7,1),(8,1),(20,1),(38,1)}
      13:{3,5,6}:{(7,1),(9,1),(52,1)}
      14:{2,3,6}:{(8,1),(9,1),(10,1)}
      15:{1,3,4,6}:{(9,1),(11,1),(21,1),(22,1),(36,1)}
      16:{1,2,3,5}:{(10,1),(11,1),(22,1),(24,1),(38,1)}
      17:{2,3,4}:{(10,1),(24,1),(58,1)}
      18:{3,4,5,6}:{(13,1),(25,1),(26,1),(29,1),(43,1),(44,1)}
      19:{1,2,4,5,6}:{(12,1),(27,1),(29,1),(40,1),(41,1),(42,1),(45,1),(54,1)}
      20:{2,3,5,6}:{(12,1),(13,1),(14,1),(29,1),(31,1)}
      21:{1,3,5,6}:{(13,1),(15,1),(26,1),(56,1)}
      22:{1,2,3,6}:{(14,1),(15,1),(16,1),(30,1)}
      23:{2,3,4,6}:{(14,1),(17,1),(29,1),(30,1),(31,1),(44,1)}
      24:{1,2,4}:{(16,1),(17,1),(59,1)}
      25:{2,3,5,6}:{(18,1),(32,1),(33,1),(47,1),(48,1)}
      26:{1,4,5,6}:{(18,1),(21,1),(32,1),(36,1),(51,1)}
      27:{2,3,5,6}:{(19,1),(35,1),(47,1),(48,1),(52,1)}
      28:{1,2,3,5,6}:{(20,1),(21,1),(22,1),(32,1),(36,1),(38,1),(48,1),(52,1),(57,1)}
      29:{4,6}:{(20,1),(37,1)}
      30:{1,2,4,6}:{(22,1),(23,1),(24,1),(36,1),(38,1)}
      31:{2,3,5}:{(23,1),(37,1),(38,1),(52,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(40,1),(54,1)}
      33:{2,4,6}:{(25,1),(29,1),(41,1)}
      34:{1,2,3,5,6}:{(27,1),(42,1),(53,1),(54,1),(56,1)}
      35:{3,4,6}:{(27,1),(29,1),(42,1),(43,1)}
      36:{1,4,6}:{(28,1),(29,1),(44,1),(45,1),(59,1)}
      37:{4,5}:{(29,1),(31,1)}
      38:{1,2,5}:{(30,1),(31,1),(45,1)}
      39:{2,3,4,6}:{(33,1),(35,1),(46,1),(47,1),(48,1),(58,1)}
      40:{1,2,4,6}:{(32,1),(33,1),(36,1),(48,1),(49,1)}
      41:{2,4,5}:{(33,1),(37,1),(47,1)}
      42:{1,4,6}:{(34,1),(35,1),(51,1)}
      43:{3,4,5}:{(35,1),(37,1),(47,1),(51,1),(52,1),(58,1)}
      44:{3,4,6}:{(36,1),(48,1),(52,1),(58,1)}
      45:{1,4,5}:{(36,1),(37,1),(38,1),(52,1)}
      46:{1,2,4,6}:{(39,1),(42,1),(53,1),(54,1),(59,1)}
      47:{2,3,5}:{(39,1),(41,1),(43,1),(54,1)}
      48:{2,3,6}:{(40,1),(44,1),(55,1)}
      49:{1,2,4,5}:{(40,1),(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{1,3,4,6}:{(42,1),(44,1),(53,1),(56,1),(59,1)}
      51:{1,4,5}:{(42,1),(43,1),(54,1),(56,1),(59,1)}
      52:{3,5}:{(44,1),(45,1)}
      53:{1,2,3,6}:{(46,1),(48,1),(50,1),(57,1)}
      54:{1,2,5}:{(46,1),(47,1),(51,1)}
      55:{2,3,5}:{(48,1),(49,1),(52,1),(58,1)}
      56:{1,3,5}:{(50,1),(51,1),(52,1)}
      57:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{3,4}:{(55,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

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

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

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

448 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

449 :  0:{3,4,5,6}:{(2,1),(3,1),(29,1),(33,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(34,1),(39,1)}
       2:{2,3,5,6}:{(0,1),(7,1),(8,1),(19,1),(21,1)}
       3:{1,4,5,6}:{(0,1),(6,1),(7,1),(20,1),(42,1),(73,1)}
       4:{1,3,4,6}:{(1,1),(6,1),(9,1),(20,1),(53,1),(67,1)}
       5:{1,2,3,5}:{(1,1),(9,1),(10,1),(25,1),(27,1)}
       6:{1,3,5,6}:{(3,1),(4,1),(55,1),(64,1)}
       7:{1,2,5,6}:{(2,1),(3,1),(13,1),(31,1),(79,1)}
       8:{2,4,6}:{(2,1),(14,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(15,1),(40,1),(77,1)}
      10:{1,2,4}:{(5,1),(16,1)}
      11:{2,3,4,6}:{(8,1),(18,1),(19,1),(21,1),(43,1),(48,1)}
      12:{1,2,3,5,6}:{(6,1),(7,1),(9,1),(20,1),(21,1),(25,1),(44,1),(46,1),(50,1),(66,1),(80,1)}
      13:{1,2,4,6}:{(7,1),(8,1),(20,1),(21,1),(22,1),(72,1),(80,1)}
      14:{2,4,5}:{(8,1),(19,1)}
      15:{1,2,4,6}:{(9,1),(10,1),(20,1),(24,1),(25,1),(69,1),(80,1)}
      16:{2,3,4}:{(10,1),(27,1)}
      17:{1,2,4,5}:{(10,1),(25,1),(27,1),(28,1),(49,1),(51,1)}
      18:{1,2,4,6}:{(11,1),(30,1),(31,1),(56,1),(57,1)}
      19:{2,3,5}:{(11,1),(14,1),(29,1),(31,1)}
      20:{1,4,6}:{(12,1),(33,1),(34,1),(57,1),(62,1)}
      21:{2,3,6}:{(13,1),(33,1),(35,1)}
      22:{1,2,4,5}:{(13,1),(14,1),(31,1),(34,1),(35,1),(57,1),(61,1),(75,1)}
      23:{2,4,5,6}:{(14,1),(32,1)}
      24:{2,3,4,6}:{(15,1),(16,1),(33,1),(36,1),(40,1),(60,1),(62,1),(78,1)}
      25:{1,2,5}:{(15,1),(34,1),(36,1)}
      26:{1,2,3,4}:{(16,1),(38,1)}
      27:{2,3,5}:{(16,1),(17,1),(39,1),(40,1)}
      28:{1,2,4,6}:{(17,1),(37,1),(40,1),(62,1),(63,1)}
      29:{3,4,5}:{(19,1),(42,1),(43,1),(48,1)}
      30:{1,2,3,6}:{(18,1),(21,1),(41,1),(44,1),(68,1),(80,1)}
      31:{1,2,5}:{(18,1),(19,1),(42,1)}
      32:{2,3,5,6}:{(19,1),(23,1),(43,1),(45,1)}
      33:{3,4,6}:{(20,1),(21,1),(46,1),(48,1)}
      34:{1,4,5}:{(20,1),(25,1),(46,1),(49,1)}
      35:{2,3,5}:{(21,1),(22,1),(46,1),(48,1)}
      36:{2,3,5}:{(24,1),(25,1),(46,1),(49,1)}
      37:{1,2,5,6}:{(25,1),(28,1),(47,1),(50,1),(74,1),(80,1)}
      38:{1,2,3,5}:{(26,1),(27,1),(51,1),(52,1)}
      39:{3,4,5}:{(27,1),(49,1),(51,1),(53,1)}
      40:{2,3,6}:{(27,1),(28,1),(53,1)}
      41:{1,3,4,6}:{(30,1),(33,1),(54,1),(57,1),(76,1)}
      42:{1,4,5}:{(29,1),(31,1),(55,1),(56,1),(57,1)}
      43:{3,4,6}:{(29,1),(32,1),(56,1)}
      44:{1,2,3,5}:{(30,1),(31,1),(35,1),(54,1),(55,1),(57,1),(75,1),(77,1)}
      45:{1,2,5,6}:{(31,1),(32,1),(56,1)}
      46:{3,5}:{(33,1),(34,1)}
      47:{1,4,5,6}:{(34,1),(37,1),(59,1),(62,1),(76,1)}
      48:{3,4}:{(35,1),(57,1)}
      49:{4,5}:{(36,1),(62,1)}
      50:{2,3,5,6}:{(36,1),(37,1),(40,1),(59,1),(62,1),(64,1),(78,1),(79,1)}
      51:{1,4,5}:{(38,1),(39,1),(63,1)}
      52:{1,2,3,6}:{(38,1),(40,1),(63,1)}
      53:{3,4,6}:{(39,1),(40,1),(62,1),(63,1),(64,1)}
      54:{1,3,5}:{(41,1),(46,1),(65,1)}
      55:{1,3,5}:{(42,1),(67,1),(68,1)}
      56:{1,4,6}:{(42,1),(43,1),(45,1),(68,1)}
      57:{1,4}:{(44,1),(48,1)}
      58:{3,4,5}:{(46,1),(48,1),(49,1),(65,1),(70,1),(71,1)}
      59:{3,5,6}:{(46,1),(47,1),(71,1)}
      60:{2,3,4}:{(48,1),(69,1),(70,1)}
      61:{2,4,5}:{(49,1),(70,1),(72,1)}
      62:{4,6}:{(49,1),(50,1)}
      63:{1,4,6}:{(51,1),(52,1),(53,1),(74,1)}
      64:{3,5,6}:{(53,1),(73,1),(74,1)}
      65:{1,4,5}:{(54,1),(57,1),(58,1),(75,1),(76,1)}
      66:{1,3,5,6}:{(54,1),(59,1),(76,1)}
      67:{1,3,4}:{(55,1),(57,1),(77,1)}
      68:{1,3,6}:{(55,1),(56,1)}
      69:{1,2,4}:{(57,1),(60,1),(75,1),(77,1)}
      70:{2,3,5}:{(58,1),(60,1),(61,1),(75,1),(78,1)}
      71:{3,4,6}:{(58,1),(59,1),(62,1),(76,1),(78,1)}
      72:{2,4,6}:{(61,1),(62,1),(78,1),(79,1)}
      73:{4,5,6}:{(62,1),(64,1),(79,1)}
      74:{1,5,6}:{(63,1),(64,1)}
      75:{1,2,5}:{(65,1),(69,1),(70,1),(80,1)}
      76:{1,4,6}:{(65,1),(66,1),(71,1),(80,1)}
      77:{1,2,3}:{(67,1),(69,1)}
      78:{2,3,6}:{(70,1),(71,1),(72,1),(80,1)}
      79:{2,5,6}:{(72,1),(73,1)}
      80:{1,2,6}:{(75,1),(76,1),(78,1)}

450 :  0:{1,2,3,4,6}:{(1,1),(6,1),(14,1),(15,1),(27,1),(43,1),(54,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(8,1),(34,1),(50,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(15,1),(16,1),(17,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(36,1),(50,1),(57,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(19,1),(34,1),(36,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(42,1),(56,1),(59,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,4,5,6}:{(6,1),(16,1),(17,1),(30,1),(42,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(19,1),(20,1),(34,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(20,1),(21,1),(35,1)}
      14:{2,3,4}:{(8,1),(19,1),(57,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(50,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(34,1)}
      18:{3,4,5,6}:{(16,1),(25,1),(26,1),(30,1),(43,1),(44,1)}
      19:{1,2,4}:{(12,1),(14,1),(59,1)}
      20:{1,2,3,6}:{(12,1),(13,1),(15,1),(27,1)}
      21:{1,3,5,6}:{(13,1),(16,1),(25,1),(56,1)}
      22:{2,3,4,6}:{(14,1),(15,1),(27,1),(29,1),(30,1),(43,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(29,1),(30,1)}
      24:{1,2,4,5,6}:{(17,1),(30,1),(31,1),(39,1),(40,1),(42,1),(45,1),(55,1)}
      25:{1,4,5,6}:{(18,1),(21,1),(32,1),(35,1),(52,1)}
      26:{2,3,5,6}:{(18,1),(32,1),(33,1),(47,1),(48,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(34,1),(35,1)}
      28:{1,2,3,5,6}:{(20,1),(21,1),(23,1),(32,1),(34,1),(35,1),(47,1),(50,1),(58,1)}
      29:{2,3,5}:{(22,1),(34,1),(36,1),(50,1)}
      30:{4,6}:{(23,1),(36,1)}
      31:{2,3,5,6}:{(24,1),(37,1),(47,1),(48,1),(50,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(39,1),(55,1)}
      33:{2,4,6}:{(26,1),(30,1),(40,1)}
      34:{1,2,5}:{(27,1),(29,1),(42,1)}
      35:{1,4,6}:{(28,1),(30,1),(42,1),(43,1),(59,1)}
      36:{4,5}:{(29,1),(30,1)}
      37:{3,4,6}:{(30,1),(31,1),(44,1),(45,1)}
      38:{1,2,3,5,6}:{(31,1),(45,1),(54,1),(55,1),(56,1)}
      39:{1,2,4,6}:{(32,1),(33,1),(35,1),(46,1),(47,1)}
      40:{2,4,5}:{(33,1),(36,1),(48,1)}
      41:{2,3,4,6}:{(33,1),(37,1),(47,1),(48,1),(49,1),(57,1)}
      42:{1,4,5}:{(34,1),(35,1),(36,1),(50,1)}
      43:{3,4,6}:{(35,1),(47,1),(50,1),(57,1)}
      44:{3,4,5}:{(36,1),(37,1),(48,1),(50,1),(52,1),(57,1)}
      45:{1,4,6}:{(37,1),(38,1),(52,1)}
      46:{1,2,4,5}:{(39,1),(40,1),(42,1),(53,1),(55,1),(59,1)}
      47:{2,3,6}:{(39,1),(43,1),(53,1)}
      48:{2,3,5}:{(40,1),(41,1),(44,1),(55,1)}
      49:{1,2,4,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{3,5}:{(42,1),(43,1)}
      51:{1,3,4,6}:{(43,1),(45,1),(54,1),(56,1),(59,1)}
      52:{1,4,5}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      53:{2,3,5}:{(46,1),(47,1),(50,1),(57,1)}
      54:{1,2,3,6}:{(47,1),(49,1),(51,1),(58,1)}
      55:{1,2,5}:{(48,1),(49,1),(52,1)}
      56:{1,3,5}:{(50,1),(51,1),(52,1)}
      57:{3,4}:{(53,1),(59,1)}
      58:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

451 :  0:{1,2,3,4}:{(1,1),(17,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1),(10,1)}
       2:{1,4,5}:{(1,1),(5,1),(7,1)}
       3:{1,2,3,6}:{(1,1),(7,1),(18,1)}
       4:{1,3,4,5}:{(5,1),(8,1),(9,1),(37,1)}
       5:{3,4,5}:{(2,1),(10,1),(11,1),(40,1)}
       6:{1,2,4,5}:{(2,1),(10,1),(12,1),(14,1),(29,1),(40,1)}
       7:{1,4,6}:{(2,1),(3,1),(11,1),(13,1)}
       8:{1,2,3,5}:{(4,1),(10,1),(14,1),(15,1),(29,1)}
       9:{1,3,4,6}:{(4,1),(11,1),(15,1),(16,1),(31,1),(76,1)}
      10:{2,3,5}:{(5,1),(6,1),(17,1),(18,1)}
      11:{3,4,6}:{(5,1),(7,1),(18,1),(19,1),(34,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(20,1),(34,1)}
      13:{1,5,6}:{(7,1),(19,1)}
      14:{1,2,4}:{(8,1),(17,1)}
      15:{1,2,3,6}:{(8,1),(9,1),(18,1),(21,1),(77,1)}
      16:{1,3,5,6}:{(9,1),(19,1),(22,1),(79,1)}
      17:{2,3,4}:{(10,1),(14,1)}
      18:{2,3,6}:{(10,1),(11,1),(12,1)}
      19:{3,5,6}:{(11,1),(13,1),(25,1)}
      20:{1,2,5,6}:{(12,1),(13,1),(26,1),(27,1),(29,1),(60,1)}
      21:{1,2,4,6}:{(14,1),(15,1),(24,1),(29,1),(31,1),(60,1),(72,1)}
      22:{1,4,5,6}:{(16,1),(25,1),(28,1),(30,1),(31,1),(75,1)}
      23:{1,2,3,5,6}:{(15,1),(16,1),(26,1),(29,1),(30,1),(31,1),(43,1),(46,1),(47,1),(60,1),(65,1)}
      24:{2,3,4,6}:{(17,1),(18,1),(21,1),(32,1),(34,1),(39,1),(51,1),(66,1)}
      25:{4,5,6}:{(19,1),(33,1),(34,1)}
      26:{2,3,5,6}:{(18,1),(19,1),(20,1),(32,1),(33,1),(34,1),(35,1),(51,1)}
      27:{1,4,5,6}:{(20,1),(34,1),(35,1),(37,1),(52,1)}
      28:{3,4,5,6}:{(22,1),(36,1),(39,1),(69,1)}
      29:{1,2,5}:{(21,1),(32,1),(37,1)}
      30:{1,2,5,6}:{(22,1),(33,1),(36,1),(38,1),(70,1)}
      31:{1,4,6}:{(23,1),(34,1),(37,1),(39,1),(71,1)}
      32:{2,3,5}:{(24,1),(29,1),(40,1),(46,1)}
      33:{2,5,6}:{(25,1),(41,1)}
      34:{4,6}:{(26,1),(40,1)}
      35:{3,5,6}:{(27,1),(42,1),(46,1)}
      36:{2,3,5,6}:{(28,1),(30,1),(44,1),(47,1),(62,1)}
      37:{1,4,5}:{(29,1),(31,1),(40,1),(46,1)}
      38:{1,2,4,6}:{(30,1),(31,1),(41,1),(44,1),(45,1),(47,1),(60,1)}
      39:{3,4,6}:{(31,1),(46,1),(47,1),(64,1)}
      40:{4,5}:{(32,1),(34,1)}
      41:{2,4,6}:{(33,1),(34,1),(49,1),(51,1)}
      42:{3,4,6}:{(34,1),(35,1),(50,1),(51,1),(52,1)}
      43:{1,3,5,6}:{(35,1),(52,1),(56,1)}
      44:{2,4,6}:{(36,1),(53,1)}
      45:{1,2,4,5}:{(37,1),(38,1),(49,1),(53,1),(55,1),(67,1),(70,1),(71,1)}
      46:{3,5}:{(37,1),(39,1)}
      47:{2,3,6}:{(38,1),(39,1),(55,1)}
      48:{1,3,4,6}:{(39,1),(52,1),(56,1),(57,1),(71,1)}
      49:{2,4,5}:{(40,1),(41,1),(58,1)}
      50:{3,4,5}:{(40,1),(42,1),(46,1),(58,1),(59,1),(64,1)}
      51:{2,3,6}:{(41,1),(42,1),(58,1),(60,1)}
      52:{1,4,6}:{(42,1),(43,1),(59,1),(60,1)}
      53:{2,4,5}:{(44,1),(62,1)}
      54:{2,3,4,6}:{(44,1),(47,1),(62,1),(63,1),(64,1),(73,1)}
      55:{2,3,5}:{(45,1),(46,1),(47,1),(64,1)}
      56:{1,3,5}:{(46,1),(48,1),(59,1)}
      57:{1,2,3,6}:{(47,1),(48,1),(60,1),(63,1),(65,1),(80,1)}
      58:{2,3,5}:{(49,1),(50,1),(51,1),(66,1),(67,1)}
      59:{1,4,5}:{(50,1),(52,1),(56,1),(67,1),(71,1)}
      60:{1,2,6}:{(51,1),(52,1),(67,1)}
      61:{2,4,5,6}:{(53,1),(68,1)}
      62:{2,3,5}:{(53,1),(54,1),(69,1),(70,1)}
      63:{1,2,4,6}:{(54,1),(57,1),(70,1),(71,1),(78,1)}
      64:{3,4}:{(55,1),(71,1)}
      65:{1,2,3,5}:{(55,1),(56,1),(57,1),(67,1),(70,1),(71,1),(77,1),(79,1)}
      66:{2,3,4}:{(58,1),(64,1),(72,1)}
      67:{1,2,5}:{(58,1),(59,1),(60,1),(72,1)}
      68:{2,3,5,6}:{(61,1),(62,1),(73,1),(74,1)}
      69:{3,4,5}:{(62,1),(64,1),(73,1),(75,1)}
      70:{1,2,5}:{(62,1),(63,1),(75,1)}
      71:{1,4}:{(64,1),(65,1)}
      72:{1,2,4}:{(66,1),(67,1),(71,1),(77,1)}
      73:{3,4,6}:{(68,1),(69,1),(78,1)}
      74:{1,2,5,6}:{(68,1),(70,1),(78,1)}
      75:{1,4,5}:{(69,1),(70,1),(71,1),(78,1),(79,1)}
      76:{1,3,4}:{(71,1),(77,1),(79,1)}
      77:{1,2,3}:{(72,1),(76,1)}
      78:{1,4,6}:{(73,1),(74,1),(75,1),(80,1)}
      79:{1,3,5}:{(75,1),(76,1),(80,1)}
      80:{1,3,6}:{(78,1),(79,1)}

452 :  0:{1,2,4,5,6}:{(1,1),(6,1),(25,1),(27,1),(42,1),(45,1),(55,1),(56,1)}
       1:{2,3,5,6}:{(0,1),(4,1),(16,1),(52,1),(59,1)}
       2:{1,2,3,4,6}:{(5,1),(19,1),(23,1),(39,1),(40,1),(43,1),(46,1),(57,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(23,1),(24,1),(25,1)}
       4:{3,4,6}:{(1,1),(6,1),(8,1),(55,1)}
       5:{1,2,3,5}:{(2,1),(9,1),(28,1),(50,1),(59,1)}
       6:{1,4,6}:{(3,1),(4,1),(14,1)}
       7:{2,3,4,6}:{(4,1),(13,1),(16,1),(38,1),(52,1),(53,1)}
       8:{3,4,5}:{(4,1),(14,1),(16,1),(53,1),(58,1),(59,1)}
       9:{1,4,5}:{(5,1),(17,1),(19,1),(46,1)}
      10:{1,2,3,5,6}:{(5,1),(19,1),(40,1),(41,1),(42,1)}
      11:{1,3,4,5}:{(17,1),(20,1),(21,1),(24,1),(46,1),(56,1)}
      12:{1,3,4,6}:{(6,1),(23,1),(24,1),(46,1),(57,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(23,1),(25,1),(46,1)}
      14:{1,4,5}:{(6,1),(8,1),(24,1),(25,1),(46,1)}
      15:{3,4,5,6}:{(8,1),(22,1),(26,1),(41,1),(55,1),(57,1)}
      16:{2,3,5}:{(7,1),(8,1),(25,1),(27,1)}
      17:{3,4,5}:{(9,1),(28,1),(29,1),(53,1),(58,1),(59,1)}
      18:{1,2,4,5}:{(9,1),(28,1),(30,1),(32,1),(50,1),(58,1)}
      19:{1,4,6}:{(9,1),(10,1),(29,1)}
      20:{1,2,3,5}:{(11,1),(28,1),(32,1),(33,1),(50,1)}
      21:{1,3,4,6}:{(11,1),(29,1),(33,1),(34,1),(51,1)}
      22:{1,4,5,6}:{(14,1),(15,1),(34,1),(35,1),(51,1)}
      23:{1,2,3,6}:{(12,1),(13,1),(36,1),(52,1)}
      24:{1,3,5}:{(12,1),(14,1),(59,1)}
      25:{1,2,5}:{(13,1),(14,1),(16,1)}
      26:{2,3,5,6}:{(15,1),(16,1),(35,1),(38,1),(52,1)}
      27:{2,4,5}:{(16,1),(38,1),(58,1)}
      28:{2,3,5}:{(17,1),(18,1),(39,1),(40,1)}
      29:{3,4,6}:{(17,1),(19,1),(40,1),(41,1),(55,1)}
      30:{1,2,4,6}:{(18,1),(19,1),(40,1),(42,1),(55,1)}
      31:{1,4,5,6}:{(19,1),(41,1),(42,1),(55,1),(56,1)}
      32:{1,2,4}:{(20,1),(39,1),(46,1)}
      33:{1,2,3,6}:{(20,1),(21,1),(40,1),(43,1)}
      34:{1,3,5,6}:{(21,1),(22,1),(24,1),(41,1)}
      35:{1,2,5,6}:{(22,1),(25,1),(26,1),(45,1)}
      36:{1,2,3,5}:{(23,1),(24,1),(25,1),(46,1),(47,1)}
      37:{1,2,4,5}:{(25,1),(27,1),(45,1),(46,1),(47,1),(56,1)}
      38:{2,4,6}:{(26,1),(27,1),(55,1)}
      39:{2,3,4}:{(28,1),(32,1),(53,1)}
      40:{2,3,6}:{(28,1),(29,1),(30,1)}
      41:{3,5,6}:{(29,1),(31,1),(59,1)}
      42:{1,2,5,6}:{(30,1),(31,1),(49,1),(50,1)}
      43:{1,2,4,6}:{(32,1),(33,1),(48,1),(50,1),(51,1)}
      44:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(36,1),(49,1),(50,1),(51,1),(52,1),(59,1)}
      45:{1,2,4,6}:{(35,1),(37,1),(38,1),(51,1),(52,1)}
      46:{1,4}:{(36,1),(53,1)}
      47:{2,3,5}:{(37,1),(52,1),(53,1),(59,1)}
      48:{2,3,4,6}:{(39,1),(40,1),(43,1),(54,1),(55,1),(57,1)}
      49:{2,3,5,6}:{(40,1),(41,1),(42,1),(54,1),(55,1)}
      50:{1,2,5}:{(43,1),(54,1),(56,1)}
      51:{1,4,6}:{(44,1),(46,1),(55,1),(56,1),(57,1)}
      52:{2,3,6}:{(45,1),(47,1),(57,1)}
      53:{3,4}:{(46,1),(47,1)}
      54:{2,3,5}:{(48,1),(50,1),(58,1),(59,1)}
      55:{4,6}:{(49,1),(58,1)}
      56:{1,4,5}:{(50,1),(51,1),(58,1),(59,1)}
      57:{3,4,6}:{(51,1),(52,1),(53,1),(59,1)}
      58:{4,5}:{(54,1),(55,1)}
      59:{3,5}:{(56,1),(57,1)}

453 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

454 :  0:{2,3,4,5}:{(2,1),(3,1),(22,1)}
       1:{1,2,3,4}:{(4,1),(63,1)}
       2:{1,2,4,5}:{(0,1),(4,1),(6,1),(15,1)}
       3:{2,3,4,6}:{(0,1),(6,1),(7,1),(29,1)}
       4:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       5:{1,2,3,4,6}:{(1,1),(9,1),(10,1),(20,1),(38,1),(41,1),(55,1),(57,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(9,1),(11,1),(20,1)}
       7:{2,3,5,6}:{(3,1),(11,1),(12,1),(24,1)}
       8:{1,3,4,5}:{(4,1),(13,1),(15,1),(62,1),(63,1)}
       9:{1,2,3,6}:{(4,1),(6,1),(13,1)}
      10:{1,2,3,5}:{(5,1),(15,1),(30,1),(61,1),(62,1)}
      11:{1,2,5,6}:{(6,1),(7,1),(16,1)}
      12:{4,5,6}:{(7,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(19,1),(20,1)}
      14:{1,2,3,5,6}:{(9,1),(10,1),(11,1),(19,1),(20,1),(24,1),(36,1),(38,1)}
      15:{1,4,5}:{(10,1),(20,1),(22,1)}
      16:{1,4,5,6}:{(11,1),(12,1),(20,1),(24,1)}
      17:{2,4,5,6}:{(12,1),(25,1)}
      18:{3,4,5,6}:{(12,1),(24,1),(25,1),(26,1),(43,1)}
      19:{1,3,5,6}:{(13,1),(27,1),(62,1)}
      20:{1,4,6}:{(14,1),(15,1),(29,1)}
      21:{1,2,4,5}:{(15,1),(28,1),(30,1),(49,1),(60,1),(61,1)}
      22:{3,4,5}:{(15,1),(29,1),(30,1)}
      23:{1,2,4,5,6}:{(16,1),(17,1),(28,1),(32,1),(34,1),(50,1),(60,1),(61,1)}
      24:{3,5,6}:{(16,1),(29,1)}
      25:{2,3,5,6}:{(17,1),(18,1),(34,1),(35,1)}
      26:{1,4,5,6}:{(18,1),(33,1),(34,1),(50,1)}
      27:{1,4,5,6}:{(19,1),(20,1),(36,1),(37,1),(58,1)}
      28:{1,2,4,6}:{(20,1),(21,1),(36,1),(38,1),(54,1)}
      29:{3,4,6}:{(20,1),(22,1),(24,1),(38,1)}
      30:{2,3,5}:{(21,1),(22,1),(38,1),(41,1)}
      31:{1,3,4,5}:{(22,1),(39,1),(40,1),(58,1)}
      32:{2,3,5,6}:{(23,1),(24,1),(38,1),(43,1),(56,1)}
      33:{1,3,5,6}:{(24,1),(26,1),(39,1)}
      34:{1,2,5,6}:{(25,1),(26,1),(44,1)}
      35:{2,3,4,6}:{(25,1),(43,1),(44,1),(45,1)}
      36:{1,2,5,6}:{(27,1),(28,1),(46,1),(61,1)}
      37:{3,4,5,6}:{(27,1),(29,1),(46,1),(51,1)}
      38:{2,3,6}:{(28,1),(29,1),(30,1)}
      39:{1,3,4,6}:{(29,1),(31,1),(33,1),(47,1),(50,1)}
      40:{1,2,3,5}:{(30,1),(31,1),(47,1),(49,1),(61,1)}
      41:{2,3,4}:{(30,1),(49,1)}
      42:{1,2,3,5,6}:{(32,1),(33,1),(34,1),(47,1),(50,1),(52,1),(61,1),(62,1)}
      43:{3,4,6}:{(32,1),(50,1),(51,1)}
      44:{1,2,4,6}:{(34,1),(35,1),(50,1),(52,1),(53,1)}
      45:{2,3,4,5}:{(35,1),(51,1),(53,1)}
      46:{2,3,5,6}:{(36,1),(37,1),(38,1),(54,1),(56,1)}
      47:{1,2,3,6}:{(38,1),(39,1),(40,1),(55,1)}
      48:{2,3,4,6}:{(38,1),(41,1),(43,1),(54,1),(55,1),(56,1)}
      49:{1,2,4}:{(40,1),(41,1)}
      50:{1,4,6}:{(42,1),(43,1),(58,1)}
      51:{3,4,5}:{(43,1),(56,1),(58,1)}
      52:{1,2,3,6}:{(44,1),(57,1),(59,1)}
      53:{1,2,4,5}:{(44,1),(45,1),(58,1),(59,1)}
      54:{2,4,6}:{(46,1),(60,1)}
      55:{1,2,4,6}:{(47,1),(48,1),(49,1),(50,1),(61,1)}
      56:{2,3,5}:{(48,1),(51,1),(60,1),(61,1)}
      57:{1,3,4,6}:{(50,1),(52,1),(62,1),(63,1)}
      58:{1,4,5}:{(50,1),(51,1),(61,1),(62,1)}
      59:{1,2,3,5}:{(52,1),(53,1),(62,1),(63,1)}
      60:{2,4,5}:{(54,1),(56,1)}
      61:{1,2,5}:{(55,1),(56,1),(58,1)}
      62:{1,3,5}:{(57,1),(58,1)}
      63:{1,3,4}:{(59,1)}

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

456 :  0:{1,2,3,4,6}:{(1,1),(5,1),(19,1),(22,1),(41,1),(45,1),(54,1),(57,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(12,1),(50,1),(58,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(17,1),(18,1),(19,1)}
       3:{1,4,5}:{(1,1),(5,1),(7,1),(57,1)}
       4:{1,2,4,5,6}:{(8,1),(17,1),(26,1),(40,1),(43,1),(44,1),(46,1),(55,1)}
       5:{1,4,6}:{(2,1),(3,1),(11,1)}
       6:{1,2,4,5}:{(3,1),(10,1),(12,1),(32,1),(49,1),(50,1)}
       7:{3,4,5}:{(3,1),(11,1),(12,1),(49,1),(58,1),(59,1)}
       8:{2,3,5,6}:{(4,1),(16,1),(36,1),(51,1),(58,1)}
       9:{1,4,5,6}:{(5,1),(17,1),(18,1),(40,1),(55,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(17,1),(19,1),(40,1)}
      11:{3,4,6}:{(5,1),(7,1),(18,1),(19,1),(40,1)}
      12:{2,3,5}:{(6,1),(7,1),(19,1),(22,1)}
      13:{1,3,4,5}:{(7,1),(20,1),(21,1),(47,1),(55,1),(57,1)}
      14:{3,4,5,6}:{(18,1),(23,1),(24,1),(27,1),(40,1),(54,1)}
      15:{1,2,3,5,6}:{(8,1),(26,1),(45,1),(46,1),(47,1)}
      16:{3,4,6}:{(8,1),(26,1),(27,1),(40,1)}
      17:{1,2,5,6}:{(9,1),(10,1),(28,1),(50,1)}
      18:{3,5,6}:{(9,1),(11,1),(58,1)}
      19:{2,3,6}:{(10,1),(11,1),(12,1)}
      20:{1,3,4,6}:{(11,1),(13,1),(29,1),(30,1),(48,1)}
      21:{1,2,3,5}:{(12,1),(13,1),(30,1),(32,1),(50,1)}
      22:{2,3,4}:{(12,1),(32,1),(59,1)}
      23:{2,3,5,6}:{(14,1),(33,1),(34,1),(36,1),(51,1)}
      24:{1,4,5,6}:{(14,1),(29,1),(33,1),(38,1),(48,1)}
      25:{2,3,4,6}:{(16,1),(34,1),(35,1),(36,1),(51,1),(59,1)}
      26:{1,4,6}:{(15,1),(16,1),(38,1)}
      27:{3,4,5}:{(16,1),(36,1),(38,1),(49,1),(58,1),(59,1)}
      28:{2,3,5,6}:{(17,1),(18,1),(19,1),(40,1),(42,1)}
      29:{1,3,5,6}:{(18,1),(20,1),(24,1),(47,1)}
      30:{1,2,3,6}:{(19,1),(20,1),(21,1),(41,1)}
      31:{2,3,4,6}:{(19,1),(22,1),(40,1),(41,1),(42,1),(54,1)}
      32:{1,2,4}:{(21,1),(22,1),(57,1)}
      33:{1,2,5,6}:{(23,1),(24,1),(43,1),(46,1)}
      34:{2,4,6}:{(23,1),(40,1),(44,1)}
      35:{1,2,4,6}:{(25,1),(26,1),(45,1),(46,1),(57,1)}
      36:{2,3,5}:{(25,1),(27,1),(44,1),(46,1)}
      37:{1,3,4,6}:{(26,1),(45,1),(47,1),(54,1),(57,1)}
      38:{1,4,5}:{(26,1),(27,1),(46,1),(47,1),(57,1)}
      39:{1,2,3,5,6}:{(28,1),(29,1),(30,1),(33,1),(48,1),(50,1),(51,1),(53,1),(58,1)}
      40:{4,6}:{(28,1),(49,1)}
      41:{1,2,4,6}:{(30,1),(31,1),(32,1),(48,1),(50,1)}
      42:{2,3,5}:{(31,1),(49,1),(50,1),(58,1)}
      43:{1,2,4,6}:{(33,1),(34,1),(48,1),(51,1),(52,1)}
      44:{2,4,5}:{(34,1),(36,1),(49,1)}
      45:{1,2,3,6}:{(35,1),(37,1),(51,1),(53,1)}
      46:{1,2,5}:{(35,1),(36,1),(38,1)}
      47:{1,3,5}:{(37,1),(38,1),(58,1)}
      48:{1,4,6}:{(39,1),(40,1),(54,1),(55,1),(57,1)}
      49:{4,5}:{(40,1),(42,1)}
      50:{1,2,5}:{(41,1),(42,1),(55,1)}
      51:{2,3,6}:{(43,1),(54,1),(56,1)}
      52:{1,2,4,5}:{(43,1),(44,1),(46,1),(55,1),(56,1),(57,1)}
      53:{1,2,3,5}:{(45,1),(46,1),(47,1),(56,1),(57,1)}
      54:{3,4,6}:{(48,1),(51,1),(58,1),(59,1)}
      55:{1,4,5}:{(48,1),(49,1),(50,1),(58,1)}
      56:{2,3,5}:{(51,1),(52,1),(58,1),(59,1)}
      57:{1,4}:{(53,1),(59,1)}
      58:{3,5}:{(54,1),(55,1)}
      59:{3,4}:{(56,1),(57,1)}

457 :  0:{3,4,5,6}:{(2,1),(3,1),(18,1),(33,1)}
       1:{2,4,5,6}:{(4,1),(16,1)}
       2:{2,3,5,6}:{(0,1),(7,1),(8,1),(20,1),(24,1)}
       3:{1,4,5,6}:{(0,1),(6,1),(7,1),(23,1),(27,1),(79,1)}
       4:{2,3,5,6}:{(1,1),(9,1),(10,1),(20,1)}
       5:{1,3,4,5}:{(12,1),(13,1),(34,1),(53,1)}
       6:{1,3,5,6}:{(3,1),(12,1),(36,1),(74,1)}
       7:{1,2,5,6}:{(2,1),(3,1),(15,1),(29,1),(80,1)}
       8:{2,4,6}:{(2,1),(16,1)}
       9:{1,2,5,6}:{(4,1),(17,1),(29,1)}
      10:{3,4,6}:{(4,1),(17,1),(18,1)}
      11:{2,3,4,6}:{(8,1),(10,1),(19,1),(20,1),(24,1),(46,1)}
      12:{1,3,4,6}:{(5,1),(6,1),(21,1),(23,1),(47,1),(66,1)}
      13:{1,2,3,5}:{(5,1),(21,1),(22,1),(41,1),(42,1)}
      14:{1,2,3,5,6}:{(6,1),(7,1),(21,1),(23,1),(24,1),(39,1),(41,1),(44,1),(62,1),(65,1),(77,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(23,1),(24,1),(25,1),(77,1),(78,1)}
      16:{2,4,5}:{(8,1),(20,1)}
      17:{1,4,6}:{(9,1),(10,1),(26,1),(27,1)}
      18:{3,4,5}:{(10,1),(20,1),(27,1),(46,1)}
      19:{1,2,4,6}:{(11,1),(17,1),(28,1),(29,1),(50,1)}
      20:{2,3,5}:{(11,1),(16,1),(18,1),(29,1)}
      21:{1,2,3,6}:{(12,1),(13,1),(30,1),(54,1),(58,1)}
      22:{1,2,4}:{(13,1),(31,1)}
      23:{1,4,6}:{(14,1),(33,1),(34,1),(50,1),(73,1)}
      24:{2,3,6}:{(15,1),(33,1),(35,1)}
      25:{1,2,4,5}:{(15,1),(16,1),(29,1),(34,1),(35,1),(50,1),(70,1),(72,1)}
      26:{1,3,6}:{(17,1),(36,1)}
      27:{1,4,5}:{(17,1),(18,1),(29,1),(36,1),(50,1)}
      28:{1,2,3,6}:{(19,1),(24,1),(26,1),(38,1),(39,1),(77,1)}
      29:{1,2,5}:{(19,1),(20,1),(27,1)}
      30:{1,2,4,6}:{(21,1),(22,1),(23,1),(40,1),(41,1),(63,1),(77,1)}
      31:{2,3,4}:{(22,1),(42,1)}
      32:{1,2,4,5}:{(22,1),(41,1),(42,1),(43,1),(59,1),(64,1)}
      33:{3,4,6}:{(23,1),(24,1),(44,1),(46,1)}
      34:{1,4,5}:{(23,1),(41,1),(44,1),(64,1)}
      35:{2,3,5}:{(24,1),(25,1),(44,1),(46,1)}
      36:{1,3,5}:{(26,1),(27,1),(47,1)}
      37:{1,2,3,4}:{(31,1),(48,1)}
      38:{1,3,4,6}:{(28,1),(33,1),(49,1),(50,1),(71,1)}
      39:{1,2,3,5}:{(28,1),(29,1),(35,1),(36,1),(49,1),(50,1),(58,1),(70,1)}
      40:{2,3,4,6}:{(30,1),(31,1),(33,1),(51,1),(54,1),(57,1),(73,1),(75,1)}
      41:{1,2,5}:{(30,1),(34,1),(51,1)}
      42:{2,3,5}:{(31,1),(32,1),(53,1),(54,1)}
      43:{1,2,4,6}:{(32,1),(52,1),(54,1),(69,1),(73,1)}
      44:{3,5}:{(33,1),(34,1)}
      45:{1,4,5,6}:{(34,1),(52,1),(56,1),(71,1),(73,1)}
      46:{3,4}:{(35,1),(50,1)}
      47:{1,3,4}:{(36,1),(50,1),(58,1)}
      48:{1,2,3,5}:{(37,1),(42,1),(59,1),(60,1)}
      49:{1,3,5}:{(38,1),(44,1),(61,1)}
      50:{1,4}:{(39,1),(46,1)}
      51:{2,3,5}:{(40,1),(41,1),(44,1),(64,1)}
      52:{1,2,5,6}:{(41,1),(43,1),(45,1),(65,1),(76,1),(77,1)}
      53:{3,4,5}:{(42,1),(59,1),(64,1),(66,1)}
      54:{2,3,6}:{(42,1),(43,1),(66,1)}
      55:{3,4,5}:{(44,1),(46,1),(61,1),(64,1),(67,1),(68,1)}
      56:{3,5,6}:{(44,1),(45,1),(68,1)}
      57:{2,3,4}:{(46,1),(63,1),(67,1)}
      58:{1,2,3}:{(47,1),(63,1)}
      59:{1,4,5}:{(48,1),(53,1),(69,1)}
      60:{1,2,3,6}:{(48,1),(54,1),(69,1)}
      61:{1,4,5}:{(49,1),(50,1),(55,1),(70,1),(71,1)}
      62:{1,3,5,6}:{(49,1),(56,1),(71,1)}
      63:{1,2,4}:{(50,1),(57,1),(58,1),(70,1)}
      64:{4,5}:{(51,1),(73,1)}
      65:{2,3,5,6}:{(51,1),(52,1),(54,1),(56,1),(73,1),(74,1),(75,1),(80,1)}
      66:{3,4,6}:{(53,1),(54,1),(69,1),(73,1),(74,1)}
      67:{2,3,5}:{(55,1),(57,1),(70,1),(72,1),(75,1)}
      68:{3,4,6}:{(55,1),(56,1),(71,1),(73,1),(75,1)}
      69:{1,4,6}:{(59,1),(60,1),(66,1),(76,1)}
      70:{1,2,5}:{(61,1),(63,1),(67,1),(77,1)}
      71:{1,4,6}:{(61,1),(62,1),(68,1),(77,1)}
      72:{2,4,5}:{(64,1),(67,1),(78,1)}
      73:{4,6}:{(64,1),(65,1)}
      74:{3,5,6}:{(66,1),(76,1),(79,1)}
      75:{2,3,6}:{(67,1),(68,1),(77,1),(78,1)}
      76:{1,5,6}:{(69,1),(74,1)}
      77:{1,2,6}:{(70,1),(71,1),(75,1)}
      78:{2,4,6}:{(72,1),(73,1),(75,1),(80,1)}
      79:{4,5,6}:{(73,1),(74,1),(80,1)}
      80:{2,5,6}:{(78,1),(79,1)}

458 :  0:{1,3,4,5,6}:{(1,1),(9,1),(17,1),(27,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(17,1)}
       3:{2,3,4,6}:{(2,1),(6,1),(14,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(11,1)}
       5:{1,2,3,4,6}:{(3,1),(8,1),(17,1),(25,1),(26,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,4,5,6}:{(4,1),(10,1),(17,1),(28,1),(29,1)}
       8:{1,2,3,5}:{(5,1),(6,1),(11,1)}
       9:{3,4,5}:{(6,1),(11,1),(14,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(14,1)}
      11:{1,4,5}:{(8,1),(9,1),(17,1)}
      12:{1,2,3,5,6}:{(8,1),(10,1),(17,1),(26,1),(27,1),(28,1)}
      13:{2,3,4,5}:{(9,1),(16,1),(18,1),(42,1)}
      14:{3,4,6}:{(9,1),(10,1),(17,1)}
      15:{1,3,4,5}:{(11,1),(20,1),(21,1),(38,1)}
      16:{1,2,4,5}:{(11,1),(13,1),(20,1),(22,1),(38,1)}
      17:{1,4,6}:{(11,1),(12,1),(14,1)}
      18:{2,3,4,6}:{(13,1),(14,1),(22,1),(24,1),(40,1)}
      19:{3,4,5,6}:{(14,1),(23,1),(24,1),(40,1)}
      20:{1,2,3,5}:{(15,1),(16,1),(25,1),(26,1)}
      21:{1,3,4,6}:{(15,1),(17,1),(26,1),(27,1),(36,1)}
      22:{1,2,4,6}:{(16,1),(17,1),(18,1),(26,1),(28,1),(36,1)}
      23:{1,4,5,6}:{(17,1),(19,1),(27,1),(28,1),(36,1)}
      24:{2,3,5,6}:{(18,1),(19,1),(28,1),(29,1)}
      25:{1,2,3,4}:{(20,1)}
      26:{1,2,3,6}:{(20,1),(21,1),(22,1)}
      27:{1,3,5,6}:{(21,1),(23,1)}
      28:{1,2,5,6}:{(22,1),(23,1),(24,1)}
      29:{2,4,5,6}:{(24,1)}
      30:{1,2,3,4,6}:{(25,1),(26,1),(34,1),(36,1),(43,1)}
      31:{1,3,4,5,6}:{(27,1),(35,1),(36,1),(42,1)}
      32:{1,2,3,5,6}:{(26,1),(27,1),(28,1),(34,1),(36,1),(37,1)}
      33:{1,2,4,5,6}:{(28,1),(29,1),(36,1),(37,1),(41,1)}
      34:{1,2,3,5}:{(30,1),(38,1),(44,1)}
      35:{1,2,3,5,6}:{(31,1),(39,1),(44,1)}
      36:{1,4,6}:{(32,1),(38,1),(40,1)}
      37:{2,3,5,6}:{(33,1),(40,1),(44,1)}
      38:{1,4,5}:{(34,1),(36,1),(42,1)}
      39:{1,2,4,6}:{(35,1),(36,1),(41,1),(43,1)}
      40:{3,4,6}:{(36,1),(37,1),(42,1)}
      41:{1,2,4,5}:{(38,1),(39,1),(44,1)}
      42:{3,4,5}:{(38,1),(40,1),(44,1)}
      43:{2,3,4,6}:{(39,1),(40,1),(44,1)}
      44:{2,3,5}:{(41,1),(42,1),(43,1)}

459 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

460 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

461 :  0:{1,2,3,4,6}:{(1,1),(6,1),(14,1),(15,1),(25,1),(41,1),(55,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(8,1),(32,1),(47,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(15,1),(16,1),(17,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(35,1),(47,1),(57,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(18,1),(32,1),(35,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(39,1),(54,1),(59,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,4,5,6}:{(6,1),(16,1),(17,1),(30,1),(39,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(18,1),(19,1),(32,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(19,1),(20,1),(34,1)}
      14:{2,3,4}:{(8,1),(18,1),(57,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(47,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(32,1)}
      18:{1,2,4}:{(12,1),(14,1),(59,1)}
      19:{1,2,3,6}:{(12,1),(13,1),(15,1),(25,1)}
      20:{1,3,5,6}:{(13,1),(16,1),(26,1),(54,1)}
      21:{2,3,4,6}:{(14,1),(15,1),(25,1),(28,1),(30,1),(41,1)}
      22:{3,4,5,6}:{(16,1),(26,1),(29,1),(30,1),(41,1),(43,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(28,1),(30,1)}
      24:{1,2,4,5,6}:{(17,1),(30,1),(31,1),(39,1),(40,1),(42,1),(45,1),(56,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(32,1),(34,1)}
      26:{1,4,5,6}:{(20,1),(22,1),(33,1),(34,1),(51,1)}
      27:{1,2,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(33,1),(34,1),(47,1),(48,1),(58,1)}
      28:{2,3,5}:{(21,1),(32,1),(35,1),(47,1)}
      29:{2,3,5,6}:{(22,1),(33,1),(36,1),(48,1),(50,1)}
      30:{4,6}:{(23,1),(35,1)}
      31:{2,3,5,6}:{(24,1),(37,1),(47,1),(48,1),(50,1)}
      32:{1,2,5}:{(25,1),(28,1),(39,1)}
      33:{1,2,5,6}:{(26,1),(29,1),(40,1),(56,1)}
      34:{1,4,6}:{(27,1),(30,1),(39,1),(41,1),(59,1)}
      35:{4,5}:{(28,1),(30,1)}
      36:{2,4,6}:{(29,1),(30,1),(42,1)}
      37:{3,4,6}:{(30,1),(31,1),(43,1),(45,1)}
      38:{1,2,3,5,6}:{(31,1),(45,1),(54,1),(55,1),(56,1)}
      39:{1,4,5}:{(32,1),(34,1),(35,1),(47,1)}
      40:{1,2,4,6}:{(33,1),(34,1),(36,1),(46,1),(48,1)}
      41:{3,4,6}:{(34,1),(47,1),(48,1),(57,1)}
      42:{2,4,5}:{(35,1),(36,1),(50,1)}
      43:{3,4,5}:{(35,1),(37,1),(47,1),(50,1),(51,1),(57,1)}
      44:{2,3,4,6}:{(36,1),(37,1),(48,1),(50,1),(52,1),(57,1)}
      45:{1,4,6}:{(37,1),(38,1),(51,1)}
      46:{1,2,4,5}:{(39,1),(40,1),(42,1),(53,1),(56,1),(59,1)}
      47:{3,5}:{(39,1),(41,1)}
      48:{2,3,6}:{(40,1),(41,1),(53,1)}
      49:{1,3,4,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,5}:{(42,1),(43,1),(44,1),(56,1)}
      51:{1,4,5}:{(43,1),(45,1),(54,1),(56,1),(59,1)}
      52:{1,2,4,6}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      53:{2,3,5}:{(46,1),(47,1),(48,1),(57,1)}
      54:{1,3,5}:{(47,1),(49,1),(51,1)}
      55:{1,2,3,6}:{(48,1),(49,1),(52,1),(58,1)}
      56:{1,2,5}:{(50,1),(51,1),(52,1)}
      57:{3,4}:{(53,1),(59,1)}
      58:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

462 :  0:{2,4,5,6}:{(3,1),(20,1)}
       1:{3,4,5,6}:{(4,1),(5,1),(17,1),(39,1)}
       2:{1,3,4,5}:{(6,1),(7,1),(40,1),(45,1)}
       3:{2,3,5,6}:{(0,1),(8,1),(9,1),(25,1)}
       4:{2,3,5,6}:{(1,1),(11,1),(12,1),(25,1),(29,1)}
       5:{1,4,5,6}:{(1,1),(10,1),(11,1),(27,1),(28,1),(74,1)}
       6:{1,3,4,6}:{(2,1),(10,1),(13,1),(28,1),(49,1),(57,1)}
       7:{1,2,3,5}:{(2,1),(13,1),(14,1),(32,1),(34,1)}
       8:{1,2,5,6}:{(3,1),(16,1),(37,1)}
       9:{3,4,6}:{(3,1),(16,1),(17,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(38,1),(67,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(19,1),(37,1),(79,1)}
      12:{2,4,6}:{(4,1),(20,1)}
      13:{1,2,3,6}:{(6,1),(7,1),(21,1),(46,1),(60,1)}
      14:{1,2,4}:{(7,1),(22,1)}
      15:{2,3,4,6}:{(9,1),(12,1),(24,1),(25,1),(29,1),(52,1)}
      16:{1,4,6}:{(8,1),(9,1),(26,1),(27,1)}
      17:{3,4,5}:{(9,1),(25,1),(27,1),(52,1)}
      18:{1,2,3,5,6}:{(10,1),(11,1),(13,1),(28,1),(29,1),(32,1),(48,1),(50,1),(54,1),(69,1),(80,1)}
      19:{1,2,4,6}:{(11,1),(12,1),(28,1),(29,1),(30,1),(73,1),(80,1)}
      20:{2,4,5}:{(12,1),(25,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(28,1),(31,1),(32,1),(70,1),(80,1)}
      22:{2,3,4}:{(14,1),(34,1)}
      23:{1,2,4,5}:{(14,1),(32,1),(34,1),(35,1),(53,1),(55,1)}
      24:{1,2,4,6}:{(15,1),(16,1),(36,1),(37,1),(59,1)}
      25:{2,3,5}:{(15,1),(17,1),(20,1),(37,1)}
      26:{1,3,6}:{(16,1),(38,1)}
      27:{1,4,5}:{(16,1),(17,1),(37,1),(38,1),(59,1)}
      28:{1,4,6}:{(18,1),(39,1),(40,1),(59,1),(65,1)}
      29:{2,3,6}:{(19,1),(39,1),(41,1)}
      30:{1,2,4,5}:{(19,1),(20,1),(37,1),(40,1),(41,1),(59,1),(64,1),(76,1)}
      31:{2,3,4,6}:{(21,1),(22,1),(39,1),(42,1),(46,1),(63,1),(65,1),(78,1)}
      32:{1,2,5}:{(21,1),(40,1),(42,1)}
      33:{1,2,3,4}:{(22,1),(44,1)}
      34:{2,3,5}:{(22,1),(23,1),(45,1),(46,1)}
      35:{1,2,4,6}:{(23,1),(43,1),(46,1),(65,1),(66,1)}
      36:{1,2,3,6}:{(24,1),(26,1),(29,1),(47,1),(48,1),(80,1)}
      37:{1,2,5}:{(24,1),(25,1),(27,1)}
      38:{1,3,5}:{(26,1),(27,1),(49,1)}
      39:{3,4,6}:{(28,1),(29,1),(50,1),(52,1)}
      40:{1,4,5}:{(28,1),(32,1),(50,1),(53,1)}
      41:{2,3,5}:{(29,1),(30,1),(50,1),(52,1)}
      42:{2,3,5}:{(31,1),(32,1),(50,1),(53,1)}
      43:{1,2,5,6}:{(32,1),(35,1),(51,1),(54,1),(75,1),(80,1)}
      44:{1,2,3,5}:{(33,1),(34,1),(55,1),(56,1)}
      45:{3,4,5}:{(34,1),(53,1),(55,1),(57,1)}
      46:{2,3,6}:{(34,1),(35,1),(57,1)}
      47:{1,3,4,6}:{(36,1),(39,1),(58,1),(59,1),(77,1)}
      48:{1,2,3,5}:{(36,1),(37,1),(38,1),(41,1),(58,1),(59,1),(60,1),(76,1)}
      49:{1,3,4}:{(38,1),(59,1),(60,1)}
      50:{3,5}:{(39,1),(40,1)}
      51:{1,4,5,6}:{(40,1),(43,1),(62,1),(65,1),(77,1)}
      52:{3,4}:{(41,1),(59,1)}
      53:{4,5}:{(42,1),(65,1)}
      54:{2,3,5,6}:{(42,1),(43,1),(46,1),(62,1),(65,1),(67,1),(78,1),(79,1)}
      55:{1,4,5}:{(44,1),(45,1),(66,1)}
      56:{1,2,3,6}:{(44,1),(46,1),(66,1)}
      57:{3,4,6}:{(45,1),(46,1),(65,1),(66,1),(67,1)}
      58:{1,3,5}:{(47,1),(50,1),(68,1)}
      59:{1,4}:{(48,1),(52,1)}
      60:{1,2,3}:{(49,1),(70,1)}
      61:{3,4,5}:{(50,1),(52,1),(53,1),(68,1),(71,1),(72,1)}
      62:{3,5,6}:{(50,1),(51,1),(72,1)}
      63:{2,3,4}:{(52,1),(70,1),(71,1)}
      64:{2,4,5}:{(53,1),(71,1),(73,1)}
      65:{4,6}:{(53,1),(54,1)}
      66:{1,4,6}:{(55,1),(56,1),(57,1),(75,1)}
      67:{3,5,6}:{(57,1),(74,1),(75,1)}
      68:{1,4,5}:{(58,1),(59,1),(61,1),(76,1),(77,1)}
      69:{1,3,5,6}:{(58,1),(62,1),(77,1)}
      70:{1,2,4}:{(59,1),(60,1),(63,1),(76,1)}
      71:{2,3,5}:{(61,1),(63,1),(64,1),(76,1),(78,1)}
      72:{3,4,6}:{(61,1),(62,1),(65,1),(77,1),(78,1)}
      73:{2,4,6}:{(64,1),(65,1),(78,1),(79,1)}
      74:{4,5,6}:{(65,1),(67,1),(79,1)}
      75:{1,5,6}:{(66,1),(67,1)}
      76:{1,2,5}:{(68,1),(70,1),(71,1),(80,1)}
      77:{1,4,6}:{(68,1),(69,1),(72,1),(80,1)}
      78:{2,3,6}:{(71,1),(72,1),(73,1),(80,1)}
      79:{2,5,6}:{(73,1),(74,1)}
      80:{1,2,6}:{(76,1),(77,1),(78,1)}

463 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

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

465 :  0:{2,3,4,5}:{(2,1),(3,1),(36,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(27,1),(62,1),(63,1)}
       2:{1,2,4,5}:{(0,1),(4,1),(6,1),(27,1)}
       3:{2,3,4,6}:{(0,1),(6,1),(7,1),(29,1)}
       4:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(10,1),(20,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(9,1),(11,1),(20,1)}
       7:{2,3,5,6}:{(3,1),(11,1),(12,1),(24,1)}
       8:{1,2,3,4}:{(4,1),(63,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(6,1)}
      10:{1,3,5,6}:{(5,1),(15,1),(62,1)}
      11:{1,2,5,6}:{(6,1),(7,1),(16,1)}
      12:{4,5,6}:{(7,1)}
      13:{1,2,3,4,6}:{(8,1),(9,1),(19,1),(20,1),(37,1),(54,1),(55,1),(57,1)}
      14:{1,2,3,5,6}:{(9,1),(10,1),(11,1),(19,1),(20,1),(21,1),(24,1),(37,1)}
      15:{1,4,5,6}:{(10,1),(20,1),(21,1),(22,1),(58,1)}
      16:{1,4,5,6}:{(11,1),(12,1),(20,1),(24,1)}
      17:{2,4,5,6}:{(12,1),(25,1)}
      18:{3,4,5,6}:{(12,1),(24,1),(25,1),(26,1),(41,1)}
      19:{1,2,3,5}:{(13,1),(27,1),(44,1),(61,1),(62,1)}
      20:{1,4,6}:{(14,1),(27,1),(29,1)}
      21:{1,2,5,6}:{(15,1),(28,1),(30,1),(61,1)}
      22:{3,4,5,6}:{(15,1),(29,1),(30,1),(50,1)}
      23:{1,2,4,5,6}:{(16,1),(17,1),(28,1),(31,1),(33,1),(48,1),(49,1),(61,1)}
      24:{3,5,6}:{(16,1),(29,1)}
      25:{2,3,5,6}:{(17,1),(18,1),(33,1),(34,1)}
      26:{1,4,5,6}:{(18,1),(32,1),(33,1),(49,1)}
      27:{1,4,5}:{(19,1),(20,1),(36,1)}
      28:{1,2,4,6}:{(20,1),(21,1),(35,1),(37,1),(39,1)}
      29:{3,4,6}:{(20,1),(24,1),(36,1),(37,1)}
      30:{2,3,5,6}:{(21,1),(22,1),(37,1),(39,1),(56,1)}
      31:{2,3,5,6}:{(23,1),(24,1),(37,1),(41,1),(56,1)}
      32:{1,3,5,6}:{(24,1),(26,1),(38,1)}
      33:{1,2,5,6}:{(25,1),(26,1),(42,1)}
      34:{2,3,4,6}:{(25,1),(41,1),(42,1),(43,1)}
      35:{1,2,4,5}:{(27,1),(28,1),(44,1),(48,1),(60,1),(61,1)}
      36:{3,4,5}:{(27,1),(29,1),(44,1)}
      37:{2,3,6}:{(28,1),(29,1),(44,1)}
      38:{1,3,4,6}:{(29,1),(32,1),(45,1),(46,1),(49,1)}
      39:{2,4,6}:{(30,1),(48,1)}
      40:{1,2,3,5,6}:{(31,1),(32,1),(33,1),(46,1),(49,1),(51,1),(61,1),(62,1)}
      41:{3,4,6}:{(31,1),(49,1),(50,1)}
      42:{1,2,4,6}:{(33,1),(34,1),(49,1),(51,1),(52,1)}
      43:{2,3,4,5}:{(34,1),(50,1),(52,1)}
      44:{2,3,5}:{(35,1),(36,1),(37,1),(54,1)}
      45:{1,3,4,5}:{(36,1),(38,1),(53,1),(58,1)}
      46:{1,2,3,6}:{(37,1),(38,1),(53,1),(55,1)}
      47:{2,3,4,6}:{(37,1),(39,1),(41,1),(54,1),(55,1),(56,1)}
      48:{2,4,5}:{(39,1),(56,1)}
      49:{1,4,6}:{(40,1),(41,1),(58,1)}
      50:{3,4,5}:{(41,1),(56,1),(58,1)}
      51:{1,2,3,6}:{(42,1),(57,1),(59,1)}
      52:{1,2,4,5}:{(42,1),(43,1),(58,1),(59,1)}
      53:{1,2,3,5}:{(44,1),(45,1),(46,1),(60,1),(61,1)}
      54:{2,3,4}:{(44,1),(60,1)}
      55:{1,2,4,6}:{(46,1),(47,1),(49,1),(60,1),(61,1)}
      56:{2,3,5}:{(47,1),(48,1),(50,1),(61,1)}
      57:{1,3,4,6}:{(49,1),(51,1),(62,1),(63,1)}
      58:{1,4,5}:{(49,1),(50,1),(61,1),(62,1)}
      59:{1,2,3,5}:{(51,1),(52,1),(62,1),(63,1)}
      60:{1,2,4}:{(53,1),(54,1)}
      61:{1,2,5}:{(55,1),(56,1),(58,1)}
      62:{1,3,5}:{(57,1),(58,1)}
      63:{1,3,4}:{(59,1)}

466 :  0:{2,4,5,6}:{(1,1),(22,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(4,1),(15,1)}
       2:{3,4,5,6}:{(5,1),(6,1),(9,1),(37,1)}
       3:{1,2,5,6}:{(1,1),(8,1),(24,1)}
       4:{3,4,6}:{(1,1),(8,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(12,1),(13,1),(15,1),(29,1)}
       6:{1,4,5,6}:{(2,1),(11,1),(12,1),(17,1),(28,1),(79,1)}
       7:{2,3,4,6}:{(4,1),(13,1),(14,1),(15,1),(29,1),(50,1)}
       8:{1,4,6}:{(3,1),(4,1),(16,1),(17,1)}
       9:{3,4,5}:{(4,1),(15,1),(17,1),(50,1)}
      10:{1,3,4,5}:{(18,1),(19,1),(38,1),(57,1)}
      11:{1,3,5,6}:{(6,1),(18,1),(25,1),(75,1)}
      12:{1,2,5,6}:{(5,1),(6,1),(21,1),(24,1),(80,1)}
      13:{2,4,6}:{(5,1),(22,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(23,1),(24,1),(41,1)}
      15:{2,3,5}:{(7,1),(9,1),(22,1),(24,1)}
      16:{1,3,6}:{(8,1),(25,1)}
      17:{1,4,5}:{(8,1),(9,1),(24,1),(25,1),(41,1)}
      18:{1,3,4,6}:{(10,1),(11,1),(26,1),(28,1),(33,1),(68,1)}
      19:{1,2,3,5}:{(10,1),(26,1),(27,1),(45,1),(46,1)}
      20:{1,2,3,5,6}:{(11,1),(12,1),(26,1),(28,1),(29,1),(32,1),(45,1),(48,1),(52,1),(67,1),(71,1)}
      21:{1,2,4,6}:{(12,1),(13,1),(28,1),(29,1),(30,1),(71,1),(78,1)}
      22:{2,4,5}:{(13,1),(15,1)}
      23:{1,2,3,6}:{(14,1),(16,1),(29,1),(31,1),(32,1),(71,1)}
      24:{1,2,5}:{(14,1),(15,1),(17,1)}
      25:{1,3,5}:{(16,1),(17,1),(33,1)}
      26:{1,2,3,6}:{(18,1),(19,1),(34,1),(42,1),(58,1)}
      27:{1,2,4}:{(19,1),(35,1)}
      28:{1,4,6}:{(20,1),(37,1),(38,1),(41,1),(74,1)}
      29:{2,3,6}:{(21,1),(37,1),(39,1)}
      30:{1,2,4,5}:{(21,1),(22,1),(24,1),(38,1),(39,1),(41,1),(62,1),(73,1)}
      31:{1,3,4,6}:{(23,1),(37,1),(40,1),(41,1),(63,1)}
      32:{1,2,3,5}:{(23,1),(24,1),(25,1),(39,1),(40,1),(41,1),(42,1),(62,1)}
      33:{1,3,4}:{(25,1),(41,1),(42,1)}
      34:{1,2,4,6}:{(26,1),(27,1),(28,1),(44,1),(45,1),(53,1),(71,1)}
      35:{2,3,4}:{(27,1),(46,1)}
      36:{1,2,4,5}:{(27,1),(45,1),(46,1),(47,1),(64,1),(66,1)}
      37:{3,4,6}:{(28,1),(29,1),(48,1),(50,1)}
      38:{1,4,5}:{(28,1),(45,1),(48,1),(66,1)}
      39:{2,3,5}:{(29,1),(30,1),(48,1),(50,1)}
      40:{1,3,5}:{(31,1),(48,1),(51,1)}
      41:{1,4}:{(32,1),(50,1)}
      42:{1,2,3}:{(33,1),(53,1)}
      43:{1,2,3,4}:{(35,1),(54,1)}
      44:{2,3,4,6}:{(34,1),(35,1),(37,1),(55,1),(58,1),(61,1),(74,1),(76,1)}
      45:{1,2,5}:{(34,1),(38,1),(55,1)}
      46:{2,3,5}:{(35,1),(36,1),(57,1),(58,1)}
      47:{1,2,4,6}:{(36,1),(56,1),(58,1),(72,1),(74,1)}
      48:{3,5}:{(37,1),(38,1)}
      49:{1,4,5,6}:{(38,1),(56,1),(60,1),(63,1),(74,1)}
      50:{3,4}:{(39,1),(41,1)}
      51:{1,4,5}:{(40,1),(41,1),(59,1),(62,1),(63,1)}
      52:{1,3,5,6}:{(40,1),(60,1),(63,1)}
      53:{1,2,4}:{(41,1),(42,1),(61,1),(62,1)}
      54:{1,2,3,5}:{(43,1),(46,1),(64,1),(65,1)}
      55:{2,3,5}:{(44,1),(45,1),(48,1),(66,1)}
      56:{1,2,5,6}:{(45,1),(47,1),(49,1),(67,1),(71,1),(77,1)}
      57:{3,4,5}:{(46,1),(64,1),(66,1),(68,1)}
      58:{2,3,6}:{(46,1),(47,1),(68,1)}
      59:{3,4,5}:{(48,1),(50,1),(51,1),(66,1),(69,1),(70,1)}
      60:{3,5,6}:{(48,1),(49,1),(70,1)}
      61:{2,3,4}:{(50,1),(53,1),(69,1)}
      62:{1,2,5}:{(51,1),(53,1),(69,1),(71,1)}
      63:{1,4,6}:{(51,1),(52,1),(70,1),(71,1)}
      64:{1,4,5}:{(54,1),(57,1),(72,1)}
      65:{1,2,3,6}:{(54,1),(58,1),(72,1)}
      66:{4,5}:{(55,1),(74,1)}
      67:{2,3,5,6}:{(55,1),(56,1),(58,1),(60,1),(74,1),(75,1),(76,1),(80,1)}
      68:{3,4,6}:{(57,1),(58,1),(72,1),(74,1),(75,1)}
      69:{2,3,5}:{(59,1),(61,1),(62,1),(73,1),(76,1)}
      70:{3,4,6}:{(59,1),(60,1),(63,1),(74,1),(76,1)}
      71:{1,2,6}:{(62,1),(63,1),(76,1)}
      72:{1,4,6}:{(64,1),(65,1),(68,1),(77,1)}
      73:{2,4,5}:{(66,1),(69,1),(78,1)}
      74:{4,6}:{(66,1),(67,1)}
      75:{3,5,6}:{(68,1),(77,1),(79,1)}
      76:{2,3,6}:{(69,1),(70,1),(71,1),(78,1)}
      77:{1,5,6}:{(72,1),(75,1)}
      78:{2,4,6}:{(73,1),(74,1),(76,1),(80,1)}
      79:{4,5,6}:{(74,1),(75,1),(80,1)}
      80:{2,5,6}:{(78,1),(79,1)}

467 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

468 :  0:{1,2,4,5,6}:{(1,1),(6,1),(25,1),(27,1),(42,1),(45,1),(55,1),(56,1)}
       1:{2,3,5,6}:{(0,1),(4,1),(16,1),(52,1),(59,1)}
       2:{1,2,3,4,6}:{(5,1),(19,1),(23,1),(39,1),(40,1),(43,1),(46,1),(57,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(23,1),(24,1),(25,1)}
       4:{3,4,6}:{(1,1),(6,1),(8,1),(55,1)}
       5:{1,2,3,5}:{(2,1),(9,1),(28,1),(50,1),(59,1)}
       6:{1,4,6}:{(3,1),(4,1),(14,1)}
       7:{2,3,4,6}:{(4,1),(13,1),(16,1),(38,1),(52,1),(53,1)}
       8:{3,4,5}:{(4,1),(14,1),(16,1),(53,1),(58,1),(59,1)}
       9:{1,4,5}:{(5,1),(17,1),(19,1),(46,1)}
      10:{1,2,3,5,6}:{(5,1),(19,1),(40,1),(41,1),(42,1)}
      11:{1,3,4,5}:{(17,1),(20,1),(21,1),(24,1),(46,1),(56,1)}
      12:{1,3,4,6}:{(6,1),(23,1),(24,1),(46,1),(57,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(23,1),(25,1),(46,1)}
      14:{1,4,5}:{(6,1),(8,1),(24,1),(25,1),(46,1)}
      15:{3,4,5,6}:{(8,1),(22,1),(26,1),(41,1),(55,1),(57,1)}
      16:{2,3,5}:{(7,1),(8,1),(25,1),(27,1)}
      17:{3,4,5}:{(9,1),(28,1),(29,1),(53,1),(58,1),(59,1)}
      18:{1,2,4,5}:{(9,1),(28,1),(30,1),(32,1),(50,1),(58,1)}
      19:{1,4,6}:{(9,1),(10,1),(29,1)}
      20:{1,2,3,5}:{(11,1),(28,1),(32,1),(33,1),(50,1)}
      21:{1,3,4,6}:{(11,1),(29,1),(33,1),(34,1),(51,1)}
      22:{1,4,5,6}:{(14,1),(15,1),(34,1),(35,1),(51,1)}
      23:{1,2,3,6}:{(12,1),(13,1),(36,1),(52,1)}
      24:{1,3,5}:{(12,1),(14,1),(59,1)}
      25:{1,2,5}:{(13,1),(14,1),(16,1)}
      26:{2,3,5,6}:{(15,1),(16,1),(35,1),(38,1),(52,1)}
      27:{2,4,5}:{(16,1),(38,1),(58,1)}
      28:{2,3,5}:{(17,1),(18,1),(39,1),(40,1)}
      29:{3,4,6}:{(17,1),(19,1),(40,1),(41,1),(55,1)}
      30:{1,2,4,6}:{(18,1),(19,1),(40,1),(42,1),(55,1)}
      31:{1,4,5,6}:{(19,1),(41,1),(42,1),(55,1),(56,1)}
      32:{1,2,4}:{(20,1),(39,1),(46,1)}
      33:{1,2,3,6}:{(20,1),(21,1),(40,1),(43,1)}
      34:{1,3,5,6}:{(21,1),(22,1),(24,1),(41,1)}
      35:{1,2,5,6}:{(22,1),(25,1),(26,1),(45,1)}
      36:{1,2,3,5}:{(23,1),(24,1),(25,1),(46,1),(47,1)}
      37:{1,2,4,5}:{(25,1),(27,1),(45,1),(46,1),(47,1),(56,1)}
      38:{2,4,6}:{(26,1),(27,1),(55,1)}
      39:{2,3,4}:{(28,1),(32,1),(53,1)}
      40:{2,3,6}:{(28,1),(29,1),(30,1)}
      41:{3,5,6}:{(29,1),(31,1),(59,1)}
      42:{1,2,5,6}:{(30,1),(31,1),(49,1),(50,1)}
      43:{1,2,4,6}:{(32,1),(33,1),(48,1),(50,1),(51,1)}
      44:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(36,1),(49,1),(50,1),(51,1),(52,1),(59,1)}
      45:{1,2,4,6}:{(35,1),(37,1),(38,1),(51,1),(52,1)}
      46:{1,4}:{(36,1),(53,1)}
      47:{2,3,5}:{(37,1),(52,1),(53,1),(59,1)}
      48:{2,3,4,6}:{(39,1),(40,1),(43,1),(54,1),(55,1),(57,1)}
      49:{2,3,5,6}:{(40,1),(41,1),(42,1),(54,1),(55,1)}
      50:{1,2,5}:{(43,1),(54,1),(56,1)}
      51:{1,4,6}:{(44,1),(46,1),(55,1),(56,1),(57,1)}
      52:{2,3,6}:{(45,1),(47,1),(57,1)}
      53:{3,4}:{(46,1),(47,1)}
      54:{2,3,5}:{(48,1),(50,1),(58,1),(59,1)}
      55:{4,6}:{(49,1),(58,1)}
      56:{1,4,5}:{(50,1),(51,1),(58,1),(59,1)}
      57:{3,4,6}:{(51,1),(52,1),(53,1),(59,1)}
      58:{4,5}:{(54,1),(55,1)}
      59:{3,5}:{(56,1),(57,1)}

469 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

470 :  0:{1,2,3,4}:{(3,1),(18,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(15,1),(40,1)}
       2:{3,4,5,6}:{(6,1),(7,1),(41,1),(42,1)}
       3:{1,2,3,5}:{(0,1),(8,1),(9,1),(24,1)}
       4:{1,2,3,5}:{(1,1),(10,1),(11,1),(24,1),(29,1)}
       5:{1,3,4,6}:{(1,1),(11,1),(12,1),(25,1),(30,1),(74,1)}
       6:{1,4,5,6}:{(2,1),(12,1),(13,1),(30,1),(47,1),(54,1)}
       7:{2,3,5,6}:{(2,1),(13,1),(14,1),(32,1),(34,1)}
       8:{1,4,5}:{(3,1),(15,1),(17,1)}
       9:{1,2,3,6}:{(3,1),(17,1),(36,1)}
      10:{1,2,4}:{(4,1),(18,1)}
      11:{1,2,3,6}:{(4,1),(5,1),(19,1),(36,1),(79,1)}
      12:{1,3,5,6}:{(5,1),(6,1),(37,1),(64,1)}
      13:{1,2,5,6}:{(6,1),(7,1),(21,1),(46,1),(58,1)}
      14:{2,4,6}:{(7,1),(22,1)}
      15:{3,4,5}:{(8,1),(24,1),(25,1),(50,1)}
      16:{1,2,4,5}:{(8,1),(10,1),(24,1),(26,1),(29,1),(50,1)}
      17:{1,4,6}:{(8,1),(9,1),(25,1),(27,1)}
      18:{2,3,4}:{(10,1),(24,1)}
      19:{1,2,4,6}:{(10,1),(11,1),(28,1),(29,1),(30,1),(75,1),(80,1)}
      20:{1,2,3,5,6}:{(11,1),(12,1),(13,1),(29,1),(30,1),(32,1),(48,1),(51,1),(56,1),(70,1),(80,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(30,1),(31,1),(32,1),(68,1),(80,1)}
      22:{2,4,5}:{(14,1),(34,1)}
      23:{2,3,4,6}:{(14,1),(32,1),(34,1),(35,1),(53,1),(55,1)}
      24:{2,3,5}:{(15,1),(16,1),(18,1),(36,1)}
      25:{3,4,6}:{(15,1),(17,1),(36,1),(37,1),(59,1)}
      26:{1,2,4,6}:{(16,1),(17,1),(36,1),(38,1),(59,1)}
      27:{1,5,6}:{(17,1),(37,1)}
      28:{2,3,4,6}:{(18,1),(19,1),(36,1),(39,1),(41,1),(59,1),(66,1),(76,1)}
      29:{1,2,5}:{(19,1),(39,1),(40,1)}
      30:{1,4,6}:{(20,1),(40,1),(41,1),(59,1),(67,1)}
      31:{1,2,4,5}:{(21,1),(22,1),(40,1),(43,1),(46,1),(61,1),(67,1),(78,1)}
      32:{2,3,6}:{(21,1),(41,1),(43,1)}
      33:{2,4,5,6}:{(22,1),(45,1)}
      34:{2,3,5}:{(22,1),(23,1),(42,1),(46,1)}
      35:{1,2,4,6}:{(23,1),(44,1),(46,1),(65,1),(67,1)}
      36:{2,3,6}:{(24,1),(25,1),(26,1)}
      37:{3,5,6}:{(25,1),(27,1),(47,1)}
      38:{1,2,5,6}:{(26,1),(27,1),(29,1),(48,1),(49,1),(80,1)}
      39:{2,3,5}:{(28,1),(29,1),(50,1),(51,1)}
      40:{1,4,5}:{(29,1),(30,1),(50,1),(51,1)}
      41:{3,4,6}:{(30,1),(32,1),(51,1),(55,1)}
      42:{3,4,5}:{(34,1),(53,1),(54,1),(55,1)}
      43:{2,3,5}:{(31,1),(32,1),(51,1),(55,1)}
      44:{1,2,3,6}:{(32,1),(35,1),(52,1),(56,1),(73,1),(80,1)}
      45:{2,3,5,6}:{(33,1),(34,1),(53,1),(57,1)}
      46:{1,2,5}:{(34,1),(35,1),(54,1)}
      47:{4,5,6}:{(37,1),(58,1),(59,1)}
      48:{2,3,5,6}:{(36,1),(37,1),(38,1),(39,1),(58,1),(59,1),(60,1),(76,1)}
      49:{1,4,5,6}:{(38,1),(40,1),(59,1),(60,1),(77,1)}
      50:{4,5}:{(39,1),(59,1)}
      51:{3,5}:{(40,1),(41,1)}
      52:{1,3,4,6}:{(41,1),(44,1),(63,1),(67,1),(77,1)}
      53:{3,4,6}:{(42,1),(45,1),(65,1)}
      54:{1,4,5}:{(42,1),(46,1),(64,1),(65,1),(67,1)}
      55:{3,4}:{(43,1),(67,1)}
      56:{1,2,3,5}:{(43,1),(44,1),(46,1),(63,1),(64,1),(67,1),(78,1),(79,1)}
      57:{1,2,5,6}:{(45,1),(46,1),(65,1)}
      58:{2,5,6}:{(47,1),(68,1)}
      59:{4,6}:{(48,1),(50,1)}
      60:{3,5,6}:{(49,1),(51,1),(69,1)}
      61:{2,4,5}:{(50,1),(68,1),(71,1)}
      62:{3,4,5}:{(50,1),(51,1),(55,1),(69,1),(71,1),(72,1)}
      63:{1,3,5}:{(51,1),(52,1),(72,1)}
      64:{1,3,5}:{(54,1),(73,1),(74,1)}
      65:{1,4,6}:{(53,1),(54,1),(57,1),(73,1)}
      66:{2,3,4}:{(55,1),(71,1),(75,1)}
      67:{1,4}:{(55,1),(56,1)}
      68:{2,4,6}:{(58,1),(59,1),(61,1),(76,1)}
      69:{3,4,6}:{(59,1),(60,1),(62,1),(76,1),(77,1)}
      70:{1,3,5,6}:{(60,1),(63,1),(77,1)}
      71:{2,3,5}:{(61,1),(62,1),(66,1),(76,1),(78,1)}
      72:{1,4,5}:{(62,1),(63,1),(67,1),(77,1),(78,1)}
      73:{1,3,6}:{(64,1),(65,1)}
      74:{1,3,4}:{(64,1),(67,1),(79,1)}
      75:{1,2,4}:{(66,1),(67,1),(78,1),(79,1)}
      76:{2,3,6}:{(68,1),(69,1),(71,1),(80,1)}
      77:{1,4,6}:{(69,1),(70,1),(72,1),(80,1)}
      78:{1,2,5}:{(71,1),(72,1),(75,1),(80,1)}
      79:{1,2,3}:{(74,1),(75,1)}
      80:{1,2,6}:{(76,1),(77,1),(78,1)}

471 :  0:{1,2,3,4,6}:{(1,1),(6,1),(14,1),(15,1),(27,1),(43,1),(54,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(8,1),(34,1),(50,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(15,1),(16,1),(17,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(36,1),(50,1),(57,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(19,1),(34,1),(36,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(42,1),(56,1),(59,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,4,5,6}:{(6,1),(16,1),(17,1),(30,1),(42,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(19,1),(20,1),(34,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(20,1),(21,1),(35,1)}
      14:{2,3,4}:{(8,1),(19,1),(57,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(50,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(34,1)}
      18:{3,4,5,6}:{(16,1),(25,1),(26,1),(30,1),(43,1),(44,1)}
      19:{1,2,4}:{(12,1),(14,1),(59,1)}
      20:{1,2,3,6}:{(12,1),(13,1),(15,1),(27,1)}
      21:{1,3,5,6}:{(13,1),(16,1),(25,1),(56,1)}
      22:{2,3,4,6}:{(14,1),(15,1),(27,1),(29,1),(30,1),(43,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(29,1),(30,1)}
      24:{1,2,4,5,6}:{(17,1),(30,1),(31,1),(39,1),(40,1),(42,1),(45,1),(55,1)}
      25:{1,4,5,6}:{(18,1),(21,1),(32,1),(35,1),(52,1)}
      26:{2,3,5,6}:{(18,1),(32,1),(33,1),(47,1),(48,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(34,1),(35,1)}
      28:{1,2,3,5,6}:{(20,1),(21,1),(23,1),(32,1),(34,1),(35,1),(47,1),(50,1),(58,1)}
      29:{2,3,5}:{(22,1),(34,1),(36,1),(50,1)}
      30:{4,6}:{(23,1),(36,1)}
      31:{2,3,5,6}:{(24,1),(37,1),(47,1),(48,1),(50,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(39,1),(55,1)}
      33:{2,4,6}:{(26,1),(30,1),(40,1)}
      34:{1,2,5}:{(27,1),(29,1),(42,1)}
      35:{1,4,6}:{(28,1),(30,1),(42,1),(43,1),(59,1)}
      36:{4,5}:{(29,1),(30,1)}
      37:{3,4,6}:{(30,1),(31,1),(44,1),(45,1)}
      38:{1,2,3,5,6}:{(31,1),(45,1),(54,1),(55,1),(56,1)}
      39:{1,2,4,6}:{(32,1),(33,1),(35,1),(46,1),(47,1)}
      40:{2,4,5}:{(33,1),(36,1),(48,1)}
      41:{2,3,4,6}:{(33,1),(37,1),(47,1),(48,1),(49,1),(57,1)}
      42:{1,4,5}:{(34,1),(35,1),(36,1),(50,1)}
      43:{3,4,6}:{(35,1),(47,1),(50,1),(57,1)}
      44:{3,4,5}:{(36,1),(37,1),(48,1),(50,1),(52,1),(57,1)}
      45:{1,4,6}:{(37,1),(38,1),(52,1)}
      46:{1,2,4,5}:{(39,1),(40,1),(42,1),(53,1),(55,1),(59,1)}
      47:{2,3,6}:{(39,1),(43,1),(53,1)}
      48:{2,3,5}:{(40,1),(41,1),(44,1),(55,1)}
      49:{1,2,4,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{3,5}:{(42,1),(43,1)}
      51:{1,3,4,6}:{(43,1),(45,1),(54,1),(56,1),(59,1)}
      52:{1,4,5}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      53:{2,3,5}:{(46,1),(47,1),(50,1),(57,1)}
      54:{1,2,3,6}:{(47,1),(49,1),(51,1),(58,1)}
      55:{1,2,5}:{(48,1),(49,1),(52,1)}
      56:{1,3,5}:{(50,1),(51,1),(52,1)}
      57:{3,4}:{(53,1),(59,1)}
      58:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

472 :  0:{1,2,3,4}:{(2,1),(16,1)}
       1:{1,3,4,5}:{(3,1),(4,1),(13,1),(35,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(21,1)}
       3:{1,2,3,5}:{(1,1),(8,1),(9,1),(21,1),(26,1)}
       4:{1,3,4,6}:{(1,1),(9,1),(10,1),(22,1),(27,1),(77,1)}
       5:{3,4,5,6}:{(11,1),(12,1),(36,1),(48,1)}
       6:{1,4,5}:{(2,1),(13,1),(15,1)}
       7:{1,2,3,6}:{(2,1),(15,1),(31,1)}
       8:{1,2,4}:{(3,1),(16,1)}
       9:{1,2,3,6}:{(3,1),(4,1),(17,1),(31,1),(80,1)}
      10:{1,3,5,6}:{(4,1),(11,1),(32,1),(69,1)}
      11:{1,4,5,6}:{(5,1),(10,1),(19,1),(27,1),(42,1),(60,1)}
      12:{2,3,5,6}:{(5,1),(19,1),(20,1),(38,1),(40,1)}
      13:{3,4,5}:{(6,1),(21,1),(22,1),(45,1)}
      14:{1,2,4,5}:{(6,1),(8,1),(21,1),(23,1),(26,1),(45,1)}
      15:{1,4,6}:{(6,1),(7,1),(22,1),(24,1)}
      16:{2,3,4}:{(8,1),(21,1)}
      17:{1,2,4,6}:{(8,1),(9,1),(25,1),(26,1),(27,1),(78,1),(79,1)}
      18:{1,2,3,5,6}:{(9,1),(10,1),(19,1),(26,1),(27,1),(38,1),(43,1),(46,1),(62,1),(66,1),(79,1)}
      19:{1,2,5,6}:{(11,1),(12,1),(28,1),(52,1),(53,1)}
      20:{2,4,6}:{(12,1),(29,1)}
      21:{2,3,5}:{(13,1),(14,1),(16,1),(31,1)}
      22:{3,4,6}:{(13,1),(15,1),(31,1),(32,1),(54,1)}
      23:{1,2,4,6}:{(14,1),(15,1),(31,1),(33,1),(54,1)}
      24:{1,5,6}:{(15,1),(32,1)}
      25:{2,3,4,6}:{(16,1),(17,1),(31,1),(34,1),(36,1),(54,1),(71,1),(73,1)}
      26:{1,2,5}:{(17,1),(34,1),(35,1)}
      27:{1,4,6}:{(18,1),(35,1),(36,1),(54,1),(72,1)}
      28:{1,2,4,6}:{(19,1),(20,1),(27,1),(37,1),(38,1),(64,1),(79,1)}
      29:{2,4,5}:{(20,1),(40,1)}
      30:{2,3,4,6}:{(20,1),(38,1),(40,1),(41,1),(59,1),(61,1)}
      31:{2,3,6}:{(21,1),(22,1),(23,1)}
      32:{3,5,6}:{(22,1),(24,1),(42,1)}
      33:{1,2,5,6}:{(23,1),(24,1),(26,1),(43,1),(44,1),(79,1)}
      34:{2,3,5}:{(25,1),(26,1),(45,1),(46,1)}
      35:{1,4,5}:{(26,1),(27,1),(45,1),(46,1)}
      36:{3,4,6}:{(27,1),(38,1),(46,1),(61,1)}
      37:{1,2,4,5}:{(28,1),(29,1),(35,1),(49,1),(52,1),(56,1),(72,1),(75,1)}
      38:{2,3,6}:{(28,1),(36,1),(49,1)}
      39:{2,4,5,6}:{(29,1),(51,1)}
      40:{2,3,5}:{(29,1),(30,1),(48,1),(52,1)}
      41:{1,2,4,6}:{(30,1),(50,1),(52,1),(70,1),(72,1)}
      42:{4,5,6}:{(32,1),(53,1),(54,1)}
      43:{2,3,5,6}:{(31,1),(32,1),(33,1),(34,1),(53,1),(54,1),(55,1),(73,1)}
      44:{1,4,5,6}:{(33,1),(35,1),(54,1),(55,1),(74,1)}
      45:{4,5}:{(34,1),(54,1)}
      46:{3,5}:{(35,1),(36,1)}
      47:{1,3,4,6}:{(36,1),(50,1),(58,1),(72,1),(74,1)}
      48:{3,4,5}:{(40,1),(59,1),(60,1),(61,1)}
      49:{2,3,5}:{(37,1),(38,1),(46,1),(61,1)}
      50:{1,2,3,6}:{(38,1),(41,1),(47,1),(62,1),(76,1),(79,1)}
      51:{2,3,5,6}:{(39,1),(40,1),(59,1),(63,1)}
      52:{1,2,5}:{(40,1),(41,1),(60,1)}
      53:{2,5,6}:{(42,1),(64,1)}
      54:{4,6}:{(43,1),(45,1)}
      55:{3,5,6}:{(44,1),(46,1),(65,1)}
      56:{2,4,5}:{(45,1),(64,1),(67,1)}
      57:{3,4,5}:{(45,1),(46,1),(61,1),(65,1),(67,1),(68,1)}
      58:{1,3,5}:{(46,1),(47,1),(68,1)}
      59:{3,4,6}:{(48,1),(51,1),(70,1)}
      60:{1,4,5}:{(48,1),(52,1),(69,1),(70,1),(72,1)}
      61:{3,4}:{(49,1),(72,1)}
      62:{1,2,3,5}:{(49,1),(50,1),(52,1),(58,1),(69,1),(72,1),(75,1),(80,1)}
      63:{1,2,5,6}:{(51,1),(52,1),(70,1)}
      64:{2,4,6}:{(53,1),(54,1),(56,1),(73,1)}
      65:{3,4,6}:{(54,1),(55,1),(57,1),(73,1),(74,1)}
      66:{1,3,5,6}:{(55,1),(58,1),(74,1)}
      67:{2,3,5}:{(56,1),(57,1),(71,1),(73,1),(75,1)}
      68:{1,4,5}:{(57,1),(58,1),(72,1),(74,1),(75,1)}
      69:{1,3,5}:{(60,1),(76,1),(77,1)}
      70:{1,4,6}:{(59,1),(60,1),(63,1),(76,1)}
      71:{2,3,4}:{(61,1),(67,1),(78,1)}
      72:{1,4}:{(61,1),(62,1)}
      73:{2,3,6}:{(64,1),(65,1),(67,1),(79,1)}
      74:{1,4,6}:{(65,1),(66,1),(68,1),(79,1)}
      75:{1,2,5}:{(67,1),(68,1),(78,1),(79,1)}
      76:{1,3,6}:{(69,1),(70,1)}
      77:{1,3,4}:{(69,1),(72,1),(80,1)}
      78:{1,2,4}:{(71,1),(72,1),(75,1),(80,1)}
      79:{1,2,6}:{(73,1),(74,1),(75,1)}
      80:{1,2,3}:{(77,1),(78,1)}

473 :  0:{1,2,3,4,6}:{(1,1),(4,1),(16,1),(19,1),(35,1),(48,1),(51,1),(58,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(11,1),(45,1),(56,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(14,1),(15,1),(16,1)}
       3:{1,4,5}:{(1,1),(4,1),(6,1),(58,1)}
       4:{1,4,6}:{(2,1),(3,1),(10,1)}
       5:{1,2,4,5}:{(3,1),(9,1),(11,1),(27,1),(44,1),(45,1)}
       6:{3,4,5}:{(3,1),(10,1),(11,1),(44,1),(56,1),(59,1)}
       7:{1,2,4,5,6}:{(13,1),(14,1),(31,1),(34,1),(46,1),(47,1),(49,1),(52,1)}
       8:{1,4,5,6}:{(4,1),(14,1),(15,1),(34,1),(52,1)}
       9:{1,2,4,6}:{(4,1),(5,1),(14,1),(16,1),(34,1)}
      10:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(34,1)}
      11:{2,3,5}:{(5,1),(6,1),(16,1),(19,1)}
      12:{1,3,4,5}:{(6,1),(17,1),(18,1),(50,1),(52,1),(58,1)}
      13:{2,3,5,6}:{(7,1),(22,1),(40,1),(53,1),(56,1)}
      14:{1,2,5,6}:{(8,1),(9,1),(23,1),(45,1)}
      15:{3,5,6}:{(8,1),(10,1),(56,1)}
      16:{2,3,6}:{(9,1),(10,1),(11,1)}
      17:{1,3,4,6}:{(10,1),(12,1),(24,1),(25,1),(43,1)}
      18:{1,2,3,5}:{(11,1),(12,1),(25,1),(27,1),(45,1)}
      19:{2,3,4}:{(11,1),(27,1),(59,1)}
      20:{3,4,5,6}:{(15,1),(28,1),(29,1),(32,1),(34,1),(51,1)}
      21:{1,2,3,5,6}:{(13,1),(31,1),(48,1),(49,1),(50,1)}
      22:{3,4,6}:{(13,1),(31,1),(32,1),(34,1)}
      23:{2,3,5,6}:{(14,1),(15,1),(16,1),(34,1),(36,1)}
      24:{1,3,5,6}:{(15,1),(17,1),(29,1),(50,1)}
      25:{1,2,3,6}:{(16,1),(17,1),(18,1),(35,1)}
      26:{2,3,4,6}:{(16,1),(19,1),(34,1),(35,1),(36,1),(51,1)}
      27:{1,2,4}:{(18,1),(19,1),(58,1)}
      28:{2,3,5,6}:{(20,1),(37,1),(38,1),(40,1),(53,1)}
      29:{1,4,5,6}:{(20,1),(24,1),(37,1),(42,1),(43,1)}
      30:{2,3,4,6}:{(22,1),(38,1),(39,1),(40,1),(53,1),(59,1)}
      31:{1,4,6}:{(21,1),(22,1),(42,1)}
      32:{3,4,5}:{(22,1),(40,1),(42,1),(44,1),(56,1),(59,1)}
      33:{1,2,3,5,6}:{(23,1),(24,1),(25,1),(37,1),(43,1),(45,1),(53,1),(55,1),(56,1)}
      34:{4,6}:{(23,1),(44,1)}
      35:{1,2,4,6}:{(25,1),(26,1),(27,1),(43,1),(45,1)}
      36:{2,3,5}:{(26,1),(44,1),(45,1),(56,1)}
      37:{1,2,5,6}:{(28,1),(29,1),(46,1),(49,1)}
      38:{2,4,6}:{(28,1),(34,1),(47,1)}
      39:{1,2,4,6}:{(30,1),(31,1),(48,1),(49,1),(58,1)}
      40:{2,3,5}:{(30,1),(32,1),(47,1),(49,1)}
      41:{1,3,4,6}:{(31,1),(48,1),(50,1),(51,1),(58,1)}
      42:{1,4,5}:{(31,1),(32,1),(49,1),(50,1),(58,1)}
      43:{1,4,6}:{(33,1),(34,1),(51,1),(52,1),(58,1)}
      44:{4,5}:{(34,1),(36,1)}
      45:{1,2,5}:{(35,1),(36,1),(52,1)}
      46:{1,2,4,6}:{(37,1),(38,1),(43,1),(53,1),(54,1)}
      47:{2,4,5}:{(38,1),(40,1),(44,1)}
      48:{1,2,3,6}:{(39,1),(41,1),(53,1),(55,1)}
      49:{1,2,5}:{(39,1),(40,1),(42,1)}
      50:{1,3,5}:{(41,1),(42,1),(56,1)}
      51:{3,4,6}:{(43,1),(53,1),(56,1),(59,1)}
      52:{1,4,5}:{(43,1),(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(51,1),(57,1)}
      54:{1,2,4,5}:{(46,1),(47,1),(49,1),(52,1),(57,1),(58,1)}
      55:{1,2,3,5}:{(48,1),(49,1),(50,1),(57,1),(58,1)}
      56:{3,5}:{(51,1),(52,1)}
      57:{2,3,5}:{(53,1),(54,1),(56,1),(59,1)}
      58:{1,4}:{(55,1),(59,1)}
      59:{3,4}:{(57,1),(58,1)}

474 :  0:{1,3,4,5}:{(2,1),(3,1),(13,1),(61,1),(63,1)}
       1:{1,2,3,4}:{(2,1),(63,1)}
       2:{1,2,3,5}:{(0,1),(1,1),(5,1),(6,1)}
       3:{1,3,4,6}:{(0,1),(6,1),(7,1),(16,1)}
       4:{1,2,3,4,6}:{(1,1),(6,1),(8,1),(16,1),(31,1),(35,1),(48,1),(57,1)}
       5:{1,2,4,5}:{(2,1),(9,1),(10,1),(13,1)}
       6:{1,2,3,6}:{(2,1),(3,1),(10,1)}
       7:{1,3,5,6}:{(3,1),(12,1),(61,1)}
       8:{1,2,3,5}:{(4,1),(13,1),(26,1),(54,1),(61,1)}
       9:{2,3,4,5}:{(5,1),(14,1),(20,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(14,1),(15,1),(16,1)}
      11:{1,2,3,5,6}:{(6,1),(7,1),(8,1),(15,1),(16,1),(17,1),(30,1),(31,1)}
      12:{1,4,5,6}:{(7,1),(16,1),(17,1),(18,1),(58,1)}
      13:{1,4,5}:{(8,1),(16,1),(20,1)}
      14:{2,3,4,6}:{(9,1),(10,1),(21,1),(24,1)}
      15:{1,2,5,6}:{(10,1),(21,1),(22,1)}
      16:{1,4,6}:{(11,1),(13,1),(24,1)}
      17:{1,2,5,6}:{(12,1),(23,1),(25,1),(54,1)}
      18:{3,4,5,6}:{(12,1),(24,1),(25,1),(53,1)}
      19:{1,2,4,5}:{(13,1),(23,1),(26,1),(42,1),(43,1),(54,1)}
      20:{3,4,5}:{(13,1),(24,1),(26,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(28,1),(30,1)}
      22:{1,4,5,6}:{(15,1),(16,1),(28,1),(30,1)}
      23:{1,2,4,6}:{(16,1),(17,1),(19,1),(31,1),(33,1)}
      24:{3,4,6}:{(16,1),(20,1),(30,1),(31,1)}
      25:{2,3,5,6}:{(17,1),(18,1),(31,1),(33,1),(49,1)}
      26:{2,3,5}:{(19,1),(20,1),(31,1),(35,1)}
      27:{1,3,4,5}:{(20,1),(32,1),(34,1),(58,1)}
      28:{4,5,6}:{(21,1)}
      29:{1,2,4,5,6}:{(22,1),(23,1),(36,1),(38,1),(42,1),(50,1),(52,1),(54,1)}
      30:{3,5,6}:{(22,1),(24,1)}
      31:{2,3,6}:{(23,1),(24,1),(26,1)}
      32:{1,3,4,6}:{(24,1),(27,1),(39,1),(40,1),(52,1)}
      33:{2,4,6}:{(25,1),(42,1)}
      34:{1,2,3,5}:{(26,1),(27,1),(40,1),(43,1),(54,1)}
      35:{2,3,4}:{(26,1),(43,1)}
      36:{2,4,5,6}:{(28,1),(44,1)}
      37:{3,4,5,6}:{(28,1),(30,1),(44,1),(45,1),(47,1)}
      38:{2,3,5,6}:{(29,1),(30,1),(31,1),(47,1),(49,1)}
      39:{1,3,5,6}:{(30,1),(32,1),(45,1)}
      40:{1,2,3,6}:{(31,1),(32,1),(34,1),(48,1)}
      41:{2,3,4,6}:{(31,1),(33,1),(35,1),(47,1),(48,1),(49,1)}
      42:{2,4,5}:{(33,1),(49,1)}
      43:{1,2,4}:{(34,1),(35,1)}
      44:{2,3,5,6}:{(36,1),(37,1),(50,1),(51,1)}
      45:{1,4,5,6}:{(37,1),(39,1),(50,1),(52,1)}
      46:{1,2,3,5,6}:{(38,1),(39,1),(40,1),(50,1),(52,1),(54,1),(59,1),(61,1)}
      47:{3,4,6}:{(38,1),(52,1),(53,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(43,1),(52,1),(54,1)}
      49:{2,3,5}:{(41,1),(42,1),(53,1),(54,1)}
      50:{1,2,5,6}:{(44,1),(45,1),(55,1)}
      51:{2,3,4,6}:{(44,1),(47,1),(55,1),(56,1)}
      52:{1,4,6}:{(46,1),(47,1),(58,1)}
      53:{3,4,5}:{(47,1),(49,1),(58,1)}
      54:{1,2,5}:{(48,1),(49,1),(58,1)}
      55:{1,2,4,6}:{(50,1),(51,1),(52,1),(59,1),(60,1)}
      56:{2,3,4,5}:{(51,1),(53,1),(60,1)}
      57:{1,3,4,6}:{(52,1),(59,1),(61,1),(63,1)}
      58:{1,4,5}:{(52,1),(53,1),(54,1),(61,1)}
      59:{1,2,3,6}:{(55,1),(57,1),(62,1)}
      60:{1,2,4,5}:{(55,1),(56,1),(58,1),(62,1)}
      61:{1,3,5}:{(57,1),(58,1)}
      62:{1,2,3,5}:{(59,1),(60,1),(61,1),(63,1)}
      63:{1,3,4}:{(62,1)}

475 :  0:{2,4,5,6}:{(3,1),(63,1)}
       1:{3,4,5,6}:{(3,1),(4,1),(11,1),(60,1),(63,1)}
       2:{1,2,4,5,6}:{(0,1),(5,1),(7,1),(17,1),(29,1),(31,1),(45,1),(58,1)}
       3:{2,3,5,6}:{(0,1),(1,1),(7,1),(8,1)}
       4:{1,4,5,6}:{(1,1),(6,1),(7,1),(17,1)}
       5:{2,3,5,6}:{(2,1),(11,1),(23,1),(51,1),(60,1)}
       6:{1,3,5,6}:{(4,1),(9,1),(60,1)}
       7:{1,2,5,6}:{(3,1),(4,1),(12,1)}
       8:{2,3,4,6}:{(3,1),(11,1),(12,1),(13,1)}
       9:{1,3,4,6}:{(6,1),(14,1),(15,1),(17,1),(56,1)}
      10:{1,2,3,5,6}:{(5,1),(6,1),(7,1),(15,1),(17,1),(19,1),(31,1),(33,1)}
      11:{3,4,6}:{(5,1),(17,1),(18,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(17,1),(19,1),(20,1)}
      13:{2,3,4,5}:{(8,1),(18,1),(20,1)}
      14:{1,3,4,5}:{(9,1),(21,1),(25,1),(50,1)}
      15:{1,2,3,6}:{(9,1),(21,1),(22,1),(51,1)}
      16:{2,3,4,6}:{(11,1),(22,1),(23,1),(36,1),(38,1),(51,1)}
      17:{1,4,6}:{(10,1),(11,1),(25,1)}
      18:{3,4,5}:{(11,1),(23,1),(25,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(25,1),(27,1)}
      21:{1,2,3,5}:{(14,1),(15,1),(28,1),(31,1),(44,1)}
      22:{1,2,4,6}:{(15,1),(16,1),(17,1),(28,1),(31,1)}
      23:{2,3,5}:{(16,1),(18,1),(29,1),(31,1)}
      24:{1,3,4,6}:{(17,1),(19,1),(33,1),(35,1)}
      25:{1,4,5}:{(17,1),(18,1),(31,1),(33,1)}
      26:{3,4,5,6}:{(18,1),(32,1),(34,1),(56,1)}
      27:{1,2,3,5}:{(19,1),(20,1),(33,1),(35,1)}
      28:{1,2,4}:{(21,1),(36,1)}
      29:{2,4,5}:{(23,1),(38,1)}
      30:{1,2,3,4,6}:{(22,1),(24,1),(36,1),(39,1),(43,1),(51,1),(53,1),(54,1)}
      31:{1,2,5}:{(22,1),(23,1),(25,1)}
      32:{2,3,5,6}:{(23,1),(26,1),(38,1),(40,1),(51,1)}
      33:{1,3,5}:{(24,1),(25,1)}
      34:{1,4,5,6}:{(25,1),(26,1),(40,1),(42,1),(53,1)}
      35:{1,3,4}:{(27,1)}
      36:{2,3,4}:{(28,1),(44,1)}
      37:{1,2,4,5}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
      38:{2,4,6}:{(29,1),(32,1)}
      39:{1,2,3,5}:{(30,1),(31,1),(33,1),(44,1),(46,1)}
      40:{1,2,5,6}:{(31,1),(32,1),(34,1),(45,1)}
      41:{1,3,4,5}:{(33,1),(35,1),(46,1),(48,1),(49,1)}
      42:{1,3,5,6}:{(33,1),(34,1),(49,1)}
      43:{1,2,3,4}:{(35,1),(48,1)}
      44:{2,3,5}:{(36,1),(37,1),(50,1),(51,1)}
      45:{1,2,4,6}:{(37,1),(38,1),(40,1),(51,1),(53,1)}
      46:{1,4,5}:{(39,1),(50,1),(53,1)}
      47:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(51,1),(53,1),(54,1),(60,1),(61,1)}
      48:{1,2,3,5}:{(41,1),(43,1),(52,1),(54,1)}
      49:{1,3,4,6}:{(41,1),(42,1),(53,1),(54,1)}
      50:{3,4,5}:{(44,1),(46,1),(56,1)}
      51:{2,3,6}:{(44,1),(45,1),(56,1)}
      52:{1,2,4,5}:{(46,1),(48,1),(55,1),(57,1)}
      53:{1,4,6}:{(46,1),(47,1),(56,1)}
      54:{1,2,3,6}:{(48,1),(49,1),(57,1)}
      55:{2,3,4,5}:{(50,1),(52,1),(59,1)}
      56:{3,4,6}:{(50,1),(51,1),(53,1),(60,1)}
      57:{1,2,4,6}:{(52,1),(53,1),(54,1),(59,1),(61,1)}
      58:{1,4,5,6}:{(53,1),(60,1),(61,1),(63,1)}
      59:{2,3,4,6}:{(55,1),(56,1),(57,1),(62,1)}
      60:{3,5,6}:{(56,1),(58,1)}
      61:{1,2,5,6}:{(57,1),(58,1),(62,1)}
      62:{2,3,5,6}:{(59,1),(60,1),(61,1),(63,1)}
      63:{4,5,6}:{(62,1)}

476 :  0:{1,2,4,5,6}:{(1,1),(6,1),(25,1),(27,1),(42,1),(45,1),(55,1),(56,1)}
       1:{2,3,5,6}:{(0,1),(4,1),(16,1),(52,1),(59,1)}
       2:{1,2,3,4,6}:{(5,1),(19,1),(23,1),(39,1),(40,1),(43,1),(46,1),(57,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(23,1),(24,1),(25,1)}
       4:{3,4,6}:{(1,1),(6,1),(8,1),(55,1)}
       5:{1,2,3,5}:{(2,1),(9,1),(28,1),(50,1),(59,1)}
       6:{1,4,6}:{(3,1),(4,1),(14,1)}
       7:{2,3,4,6}:{(4,1),(13,1),(16,1),(38,1),(52,1),(53,1)}
       8:{3,4,5}:{(4,1),(14,1),(16,1),(53,1),(58,1),(59,1)}
       9:{1,4,5}:{(5,1),(17,1),(19,1),(46,1)}
      10:{1,2,3,5,6}:{(5,1),(19,1),(40,1),(41,1),(42,1)}
      11:{1,3,4,5}:{(17,1),(20,1),(21,1),(24,1),(46,1),(56,1)}
      12:{1,3,4,6}:{(6,1),(23,1),(24,1),(46,1),(57,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(23,1),(25,1),(46,1)}
      14:{1,4,5}:{(6,1),(8,1),(24,1),(25,1),(46,1)}
      15:{3,4,5,6}:{(8,1),(22,1),(26,1),(41,1),(55,1),(57,1)}
      16:{2,3,5}:{(7,1),(8,1),(25,1),(27,1)}
      17:{3,4,5}:{(9,1),(28,1),(29,1),(53,1),(58,1),(59,1)}
      18:{1,2,4,5}:{(9,1),(28,1),(30,1),(32,1),(50,1),(58,1)}
      19:{1,4,6}:{(9,1),(10,1),(29,1)}
      20:{1,2,3,5}:{(11,1),(28,1),(32,1),(33,1),(50,1)}
      21:{1,3,4,6}:{(11,1),(29,1),(33,1),(34,1),(51,1)}
      22:{1,4,5,6}:{(14,1),(15,1),(34,1),(35,1),(51,1)}
      23:{1,2,3,6}:{(12,1),(13,1),(36,1),(52,1)}
      24:{1,3,5}:{(12,1),(14,1),(59,1)}
      25:{1,2,5}:{(13,1),(14,1),(16,1)}
      26:{2,3,5,6}:{(15,1),(16,1),(35,1),(38,1),(52,1)}
      27:{2,4,5}:{(16,1),(38,1),(58,1)}
      28:{2,3,5}:{(17,1),(18,1),(39,1),(40,1)}
      29:{3,4,6}:{(17,1),(19,1),(40,1),(41,1),(55,1)}
      30:{1,2,4,6}:{(18,1),(19,1),(40,1),(42,1),(55,1)}
      31:{1,4,5,6}:{(19,1),(41,1),(42,1),(55,1),(56,1)}
      32:{1,2,4}:{(20,1),(39,1),(46,1)}
      33:{1,2,3,6}:{(20,1),(21,1),(40,1),(43,1)}
      34:{1,3,5,6}:{(21,1),(22,1),(24,1),(41,1)}
      35:{1,2,5,6}:{(22,1),(25,1),(26,1),(45,1)}
      36:{1,2,3,5}:{(23,1),(24,1),(25,1),(46,1),(47,1)}
      37:{1,2,4,5}:{(25,1),(27,1),(45,1),(46,1),(47,1),(56,1)}
      38:{2,4,6}:{(26,1),(27,1),(55,1)}
      39:{2,3,4}:{(28,1),(32,1),(53,1)}
      40:{2,3,6}:{(28,1),(29,1),(30,1)}
      41:{3,5,6}:{(29,1),(31,1),(59,1)}
      42:{1,2,5,6}:{(30,1),(31,1),(49,1),(50,1)}
      43:{1,2,4,6}:{(32,1),(33,1),(48,1),(50,1),(51,1)}
      44:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(36,1),(49,1),(50,1),(51,1),(52,1),(59,1)}
      45:{1,2,4,6}:{(35,1),(37,1),(38,1),(51,1),(52,1)}
      46:{1,4}:{(36,1),(53,1)}
      47:{2,3,5}:{(37,1),(52,1),(53,1),(59,1)}
      48:{2,3,4,6}:{(39,1),(40,1),(43,1),(54,1),(55,1),(57,1)}
      49:{2,3,5,6}:{(40,1),(41,1),(42,1),(54,1),(55,1)}
      50:{1,2,5}:{(43,1),(54,1),(56,1)}
      51:{1,4,6}:{(44,1),(46,1),(55,1),(56,1),(57,1)}
      52:{2,3,6}:{(45,1),(47,1),(57,1)}
      53:{3,4}:{(46,1),(47,1)}
      54:{2,3,5}:{(48,1),(50,1),(58,1),(59,1)}
      55:{4,6}:{(49,1),(58,1)}
      56:{1,4,5}:{(50,1),(51,1),(58,1),(59,1)}
      57:{3,4,6}:{(51,1),(52,1),(53,1),(59,1)}
      58:{4,5}:{(54,1),(55,1)}
      59:{3,5}:{(56,1),(57,1)}

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

478 :  0:{2,3,4,5}:{(1,1),(2,1),(26,1)}
       1:{1,2,4,5}:{(0,1),(5,1),(6,1),(32,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(6,1),(18,1)}
       3:{2,4,5,6}:{(4,1),(60,1)}
       4:{2,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1),(11,1),(24,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(22,1)}
       7:{1,2,4,5,6}:{(3,1),(9,1),(12,1),(22,1),(42,1),(45,1),(56,1),(57,1)}
       8:{3,4,5,6}:{(4,1),(13,1),(18,1),(60,1),(62,1)}
       9:{1,2,5,6}:{(4,1),(6,1),(13,1)}
      10:{1,3,4}:{(5,1)}
      11:{1,2,3,6}:{(5,1),(6,1),(17,1)}
      12:{2,3,5,6}:{(7,1),(18,1),(35,1),(62,1),(63,1)}
      13:{1,4,5,6}:{(8,1),(9,1),(19,1),(22,1)}
      14:{1,3,4,5}:{(10,1),(20,1),(21,1),(24,1),(43,1)}
      15:{1,2,3,5,6}:{(9,1),(11,1),(12,1),(19,1),(22,1),(24,1),(37,1),(42,1)}
      16:{1,2,3,4}:{(10,1),(20,1)}
      17:{1,3,4,6}:{(10,1),(11,1),(22,1),(24,1)}
      18:{3,4,6}:{(12,1),(22,1),(26,1)}
      19:{1,3,5,6}:{(13,1),(27,1),(62,1)}
      20:{1,2,3,5}:{(14,1),(16,1),(28,1),(29,1)}
      21:{1,3,4,6}:{(14,1),(29,1),(30,1),(50,1)}
      22:{1,4,6}:{(15,1),(18,1),(32,1)}
      23:{1,2,3,4,6}:{(16,1),(17,1),(29,1),(31,1),(33,1),(50,1),(61,1),(63,1)}
      24:{1,3,5}:{(17,1),(32,1)}
      25:{2,3,4,6}:{(18,1),(31,1),(35,1),(53,1),(61,1),(63,1)}
      26:{3,4,5}:{(18,1),(32,1),(35,1)}
      27:{1,3,4,6}:{(19,1),(22,1),(37,1),(38,1),(58,1)}
      28:{1,2,4,5}:{(20,1),(36,1),(39,1),(43,1)}
      29:{1,2,3,6}:{(20,1),(21,1),(39,1)}
      30:{1,3,5,6}:{(21,1),(24,1),(40,1)}
      31:{1,2,4,6}:{(22,1),(25,1),(37,1),(42,1),(55,1)}
      32:{1,4,5}:{(22,1),(24,1),(26,1),(42,1)}
      33:{1,2,3,5}:{(23,1),(24,1),(42,1),(43,1),(59,1)}
      34:{3,4,5,6}:{(26,1),(40,1),(44,1),(58,1)}
      35:{2,3,5}:{(25,1),(26,1),(42,1),(45,1)}
      36:{2,3,4,5}:{(28,1),(46,1),(52,1)}
      37:{1,2,3,6}:{(27,1),(31,1),(47,1),(63,1)}
      38:{1,3,4,5}:{(27,1),(32,1),(47,1),(52,1)}
      39:{1,2,4,6}:{(28,1),(29,1),(46,1),(48,1),(50,1)}
      40:{1,4,5,6}:{(30,1),(32,1),(34,1),(49,1),(50,1)}
      41:{1,2,3,5,6}:{(29,1),(30,1),(33,1),(48,1),(49,1),(50,1),(62,1),(63,1)}
      42:{1,2,5}:{(31,1),(32,1),(35,1)}
      43:{1,4,5}:{(33,1),(50,1),(52,1)}
      44:{2,3,5,6}:{(34,1),(35,1),(49,1),(53,1),(63,1)}
      45:{2,4,5}:{(35,1),(53,1)}
      46:{2,3,4,6}:{(36,1),(39,1),(54,1),(58,1)}
      47:{1,2,3,5}:{(37,1),(38,1),(42,1),(55,1),(59,1)}
      48:{1,2,5,6}:{(39,1),(54,1),(56,1)}
      49:{1,2,5,6}:{(40,1),(42,1),(44,1),(57,1)}
      50:{1,4,6}:{(41,1),(43,1),(58,1)}
      51:{1,2,4,5}:{(42,1),(43,1),(45,1),(55,1),(57,1),(59,1)}
      52:{3,4,5}:{(43,1),(58,1),(59,1)}
      53:{2,4,6}:{(44,1),(45,1)}
      54:{2,3,5,6}:{(46,1),(48,1),(60,1),(62,1)}
      55:{1,2,4}:{(47,1),(61,1)}
      56:{1,4,5,6}:{(48,1),(50,1),(60,1),(62,1)}
      57:{1,2,4,6}:{(49,1),(50,1),(51,1),(53,1),(63,1)}
      58:{3,4,6}:{(50,1),(52,1),(62,1),(63,1)}
      59:{2,3,5}:{(51,1),(52,1),(61,1),(63,1)}
      60:{4,5,6}:{(54,1)}
      61:{2,3,4}:{(55,1),(59,1)}
      62:{3,5,6}:{(56,1),(58,1)}
      63:{2,3,6}:{(57,1),(58,1),(59,1)}

479 :  0:{1,3,4,5}:{(2,1),(3,1),(31,1),(34,1)}
       1:{3,4,5,6}:{(4,1),(5,1),(30,1),(36,1)}
       2:{1,3,4,6}:{(0,1),(6,1),(7,1),(19,1),(48,1),(72,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(21,1),(22,1)}
       4:{2,3,5,6}:{(1,1),(9,1),(10,1),(25,1),(26,1)}
       5:{1,4,5,6}:{(1,1),(6,1),(9,1),(19,1),(49,1),(71,1)}
       6:{1,3,5,6}:{(2,1),(5,1),(60,1),(61,1)}
       7:{1,2,3,6}:{(2,1),(3,1),(12,1),(35,1),(79,1)}
       8:{1,2,4}:{(3,1),(13,1)}
       9:{1,2,5,6}:{(4,1),(5,1),(16,1),(38,1),(78,1)}
      10:{2,4,6}:{(4,1),(17,1)}
      11:{1,2,3,5,6}:{(6,1),(7,1),(9,1),(19,1),(21,1),(26,1),(44,1),(47,1),(51,1),(67,1),(80,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(19,1),(20,1),(21,1),(74,1),(80,1)}
      13:{2,3,4}:{(8,1),(22,1)}
      14:{1,2,4,5}:{(8,1),(21,1),(22,1),(23,1),(41,1),(46,1)}
      15:{2,3,4,6}:{(10,1),(24,1),(25,1),(26,1),(50,1),(53,1)}
      16:{1,2,4,6}:{(9,1),(10,1),(19,1),(26,1),(27,1),(70,1),(80,1)}
      17:{2,4,5}:{(10,1),(25,1)}
      18:{1,2,3,4}:{(13,1),(29,1)}
      19:{1,4,6}:{(11,1),(30,1),(31,1),(59,1),(63,1)}
      20:{2,3,4,6}:{(12,1),(13,1),(30,1),(32,1),(35,1),(59,1),(64,1),(77,1)}
      21:{1,2,5}:{(12,1),(31,1),(32,1)}
      22:{2,3,5}:{(13,1),(14,1),(34,1),(35,1)}
      23:{1,2,4,6}:{(14,1),(33,1),(35,1),(54,1),(59,1)}
      24:{1,2,4,6}:{(15,1),(37,1),(38,1),(62,1),(63,1)}
      25:{2,3,5}:{(15,1),(17,1),(36,1),(38,1)}
      26:{2,3,6}:{(16,1),(30,1),(40,1)}
      27:{1,2,4,5}:{(16,1),(17,1),(31,1),(38,1),(40,1),(58,1),(63,1),(75,1)}
      28:{2,4,5,6}:{(17,1),(39,1)}
      29:{1,2,3,5}:{(18,1),(22,1),(41,1),(42,1)}
      30:{3,4,6}:{(19,1),(26,1),(44,1),(53,1)}
      31:{1,4,5}:{(19,1),(21,1),(44,1),(46,1)}
      32:{2,3,5}:{(20,1),(21,1),(44,1),(46,1)}
      33:{1,2,5,6}:{(21,1),(23,1),(45,1),(47,1),(65,1),(80,1)}
      34:{3,4,5}:{(22,1),(41,1),(46,1),(48,1)}
      35:{2,3,6}:{(22,1),(23,1),(48,1)}
      36:{3,4,5}:{(25,1),(49,1),(50,1),(53,1)}
      37:{1,2,3,6}:{(24,1),(26,1),(43,1),(51,1),(73,1),(80,1)}
      38:{1,2,5}:{(24,1),(25,1),(49,1)}
      39:{2,3,5,6}:{(25,1),(28,1),(50,1),(52,1)}
      40:{2,3,5}:{(26,1),(27,1),(44,1),(53,1)}
      41:{1,4,5}:{(29,1),(34,1),(54,1)}
      42:{1,2,3,6}:{(29,1),(35,1),(54,1)}
      43:{1,3,4,6}:{(30,1),(37,1),(55,1),(63,1),(76,1)}
      44:{3,5}:{(30,1),(31,1)}
      45:{1,4,5,6}:{(31,1),(33,1),(57,1),(59,1),(76,1)}
      46:{4,5}:{(32,1),(59,1)}
      47:{2,3,5,6}:{(32,1),(33,1),(35,1),(57,1),(59,1),(60,1),(77,1),(78,1)}
      48:{3,4,6}:{(34,1),(35,1),(54,1),(59,1),(60,1)}
      49:{1,4,5}:{(36,1),(38,1),(61,1),(62,1),(63,1)}
      50:{3,4,6}:{(36,1),(39,1),(62,1)}
      51:{1,2,3,5}:{(37,1),(38,1),(40,1),(55,1),(61,1),(63,1),(75,1),(79,1)}
      52:{1,2,5,6}:{(38,1),(39,1),(62,1)}
      53:{3,4}:{(40,1),(63,1)}
      54:{1,4,6}:{(41,1),(42,1),(48,1),(65,1)}
      55:{1,3,5}:{(43,1),(44,1),(66,1)}
      56:{3,4,5}:{(44,1),(46,1),(53,1),(66,1),(68,1),(69,1)}
      57:{3,5,6}:{(44,1),(45,1),(69,1)}
      58:{2,4,5}:{(46,1),(68,1),(70,1)}
      59:{4,6}:{(46,1),(47,1)}
      60:{3,5,6}:{(48,1),(65,1),(71,1)}
      61:{1,3,5}:{(49,1),(72,1),(73,1)}
      62:{1,4,6}:{(49,1),(50,1),(52,1),(73,1)}
      63:{1,4}:{(51,1),(53,1)}
      64:{2,3,4}:{(53,1),(68,1),(74,1)}
      65:{1,5,6}:{(54,1),(60,1)}
      66:{1,4,5}:{(55,1),(56,1),(63,1),(75,1),(76,1)}
      67:{1,3,5,6}:{(55,1),(57,1),(76,1)}
      68:{2,3,5}:{(56,1),(58,1),(64,1),(75,1),(77,1)}
      69:{3,4,6}:{(56,1),(57,1),(59,1),(76,1),(77,1)}
      70:{2,4,6}:{(58,1),(59,1),(77,1),(78,1)}
      71:{4,5,6}:{(59,1),(60,1),(78,1)}
      72:{1,3,4}:{(61,1),(63,1),(79,1)}
      73:{1,3,6}:{(61,1),(62,1)}
      74:{1,2,4}:{(63,1),(64,1),(75,1),(79,1)}
      75:{1,2,5}:{(66,1),(68,1),(74,1),(80,1)}
      76:{1,4,6}:{(66,1),(67,1),(69,1),(80,1)}
      77:{2,3,6}:{(68,1),(69,1),(70,1),(80,1)}
      78:{2,5,6}:{(70,1),(71,1)}
      79:{1,2,3}:{(72,1),(74,1)}
      80:{1,2,6}:{(75,1),(76,1),(77,1)}

480 :  0:{1,2,3,4,6}:{(1,1),(6,1),(14,1),(15,1),(25,1),(41,1),(55,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(8,1),(32,1),(47,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(15,1),(16,1),(17,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(35,1),(47,1),(57,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(18,1),(32,1),(35,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(39,1),(54,1),(59,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,4,5,6}:{(6,1),(16,1),(17,1),(30,1),(39,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(18,1),(19,1),(32,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(19,1),(20,1),(34,1)}
      14:{2,3,4}:{(8,1),(18,1),(57,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(47,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(32,1)}
      18:{1,2,4}:{(12,1),(14,1),(59,1)}
      19:{1,2,3,6}:{(12,1),(13,1),(15,1),(25,1)}
      20:{1,3,5,6}:{(13,1),(16,1),(26,1),(54,1)}
      21:{2,3,4,6}:{(14,1),(15,1),(25,1),(28,1),(30,1),(41,1)}
      22:{3,4,5,6}:{(16,1),(26,1),(29,1),(30,1),(41,1),(43,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(28,1),(30,1)}
      24:{1,2,4,5,6}:{(17,1),(30,1),(31,1),(39,1),(40,1),(42,1),(45,1),(56,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(32,1),(34,1)}
      26:{1,4,5,6}:{(20,1),(22,1),(33,1),(34,1),(51,1)}
      27:{1,2,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(33,1),(34,1),(47,1),(48,1),(58,1)}
      28:{2,3,5}:{(21,1),(32,1),(35,1),(47,1)}
      29:{2,3,5,6}:{(22,1),(33,1),(36,1),(48,1),(50,1)}
      30:{4,6}:{(23,1),(35,1)}
      31:{2,3,5,6}:{(24,1),(37,1),(47,1),(48,1),(50,1)}
      32:{1,2,5}:{(25,1),(28,1),(39,1)}
      33:{1,2,5,6}:{(26,1),(29,1),(40,1),(56,1)}
      34:{1,4,6}:{(27,1),(30,1),(39,1),(41,1),(59,1)}
      35:{4,5}:{(28,1),(30,1)}
      36:{2,4,6}:{(29,1),(30,1),(42,1)}
      37:{3,4,6}:{(30,1),(31,1),(43,1),(45,1)}
      38:{1,2,3,5,6}:{(31,1),(45,1),(54,1),(55,1),(56,1)}
      39:{1,4,5}:{(32,1),(34,1),(35,1),(47,1)}
      40:{1,2,4,6}:{(33,1),(34,1),(36,1),(46,1),(48,1)}
      41:{3,4,6}:{(34,1),(47,1),(48,1),(57,1)}
      42:{2,4,5}:{(35,1),(36,1),(50,1)}
      43:{3,4,5}:{(35,1),(37,1),(47,1),(50,1),(51,1),(57,1)}
      44:{2,3,4,6}:{(36,1),(37,1),(48,1),(50,1),(52,1),(57,1)}
      45:{1,4,6}:{(37,1),(38,1),(51,1)}
      46:{1,2,4,5}:{(39,1),(40,1),(42,1),(53,1),(56,1),(59,1)}
      47:{3,5}:{(39,1),(41,1)}
      48:{2,3,6}:{(40,1),(41,1),(53,1)}
      49:{1,3,4,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,5}:{(42,1),(43,1),(44,1),(56,1)}
      51:{1,4,5}:{(43,1),(45,1),(54,1),(56,1),(59,1)}
      52:{1,2,4,6}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      53:{2,3,5}:{(46,1),(47,1),(48,1),(57,1)}
      54:{1,3,5}:{(47,1),(49,1),(51,1)}
      55:{1,2,3,6}:{(48,1),(49,1),(52,1),(58,1)}
      56:{1,2,5}:{(50,1),(51,1),(52,1)}
      57:{3,4}:{(53,1),(59,1)}
      58:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

481 :  0:{3,4,5,6}:{(1,1),(2,1),(25,1),(31,1)}
       1:{2,3,5,6}:{(0,1),(6,1),(7,1),(18,1),(22,1)}
       2:{1,4,5,6}:{(0,1),(5,1),(6,1),(21,1),(35,1),(79,1)}
       3:{2,4,5,6}:{(8,1),(14,1)}
       4:{1,3,4,5}:{(10,1),(11,1),(32,1),(52,1)}
       5:{1,3,5,6}:{(2,1),(10,1),(46,1),(74,1)}
       6:{1,2,5,6}:{(1,1),(2,1),(13,1),(27,1),(80,1)}
       7:{2,4,6}:{(1,1),(14,1)}
       8:{2,3,5,6}:{(3,1),(15,1),(16,1),(18,1)}
       9:{2,3,4,6}:{(7,1),(16,1),(17,1),(18,1),(22,1),(45,1)}
      10:{1,3,4,6}:{(4,1),(5,1),(19,1),(21,1),(57,1),(65,1)}
      11:{1,2,3,5}:{(4,1),(19,1),(20,1),(40,1),(41,1)}
      12:{1,2,3,5,6}:{(5,1),(6,1),(19,1),(21,1),(22,1),(38,1),(40,1),(43,1),(61,1),(64,1),(77,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(21,1),(22,1),(23,1),(77,1),(78,1)}
      14:{2,4,5}:{(7,1),(18,1)}
      15:{1,2,5,6}:{(8,1),(24,1),(27,1)}
      16:{3,4,6}:{(8,1),(24,1),(25,1)}
      17:{1,2,4,6}:{(9,1),(24,1),(26,1),(27,1),(49,1)}
      18:{2,3,5}:{(9,1),(14,1),(25,1),(27,1)}
      19:{1,2,3,6}:{(10,1),(11,1),(28,1),(53,1),(68,1)}
      20:{1,2,4}:{(11,1),(29,1)}
      21:{1,4,6}:{(12,1),(31,1),(32,1),(49,1),(73,1)}
      22:{2,3,6}:{(13,1),(31,1),(33,1)}
      23:{1,2,4,5}:{(13,1),(14,1),(27,1),(32,1),(33,1),(49,1),(70,1),(72,1)}
      24:{1,4,6}:{(15,1),(16,1),(34,1),(35,1)}
      25:{3,4,5}:{(16,1),(18,1),(35,1),(45,1)}
      26:{1,2,3,6}:{(17,1),(22,1),(34,1),(37,1),(38,1),(77,1)}
      27:{1,2,5}:{(17,1),(18,1),(35,1)}
      28:{1,2,4,6}:{(19,1),(20,1),(21,1),(39,1),(40,1),(62,1),(77,1)}
      29:{2,3,4}:{(20,1),(41,1)}
      30:{1,2,4,5}:{(20,1),(40,1),(41,1),(42,1),(58,1),(63,1)}
      31:{3,4,6}:{(21,1),(22,1),(43,1),(45,1)}
      32:{1,4,5}:{(21,1),(40,1),(43,1),(63,1)}
      33:{2,3,5}:{(22,1),(23,1),(43,1),(45,1)}
      34:{1,3,6}:{(24,1),(46,1)}
      35:{1,4,5}:{(24,1),(25,1),(27,1),(46,1),(49,1)}
      36:{1,2,3,4}:{(29,1),(47,1)}
      37:{1,3,4,6}:{(26,1),(31,1),(48,1),(49,1),(71,1)}
      38:{1,2,3,5}:{(26,1),(27,1),(33,1),(46,1),(48,1),(49,1),(68,1),(70,1)}
      39:{2,3,4,6}:{(28,1),(29,1),(31,1),(50,1),(53,1),(56,1),(73,1),(75,1)}
      40:{1,2,5}:{(28,1),(32,1),(50,1)}
      41:{2,3,5}:{(29,1),(30,1),(52,1),(53,1)}
      42:{1,2,4,6}:{(30,1),(51,1),(53,1),(69,1),(73,1)}
      43:{3,5}:{(31,1),(32,1)}
      44:{1,4,5,6}:{(32,1),(51,1),(55,1),(71,1),(73,1)}
      45:{3,4}:{(33,1),(49,1)}
      46:{1,3,5}:{(34,1),(35,1),(57,1)}
      47:{1,2,3,5}:{(36,1),(41,1),(58,1),(59,1)}
      48:{1,3,5}:{(37,1),(43,1),(60,1)}
      49:{1,4}:{(38,1),(45,1)}
      50:{2,3,5}:{(39,1),(40,1),(43,1),(63,1)}
      51:{1,2,5,6}:{(40,1),(42,1),(44,1),(64,1),(76,1),(77,1)}
      52:{3,4,5}:{(41,1),(58,1),(63,1),(65,1)}
      53:{2,3,6}:{(41,1),(42,1),(65,1)}
      54:{3,4,5}:{(43,1),(45,1),(60,1),(63,1),(66,1),(67,1)}
      55:{3,5,6}:{(43,1),(44,1),(67,1)}
      56:{2,3,4}:{(45,1),(62,1),(66,1)}
      57:{1,3,4}:{(46,1),(49,1),(68,1)}
      58:{1,4,5}:{(47,1),(52,1),(69,1)}
      59:{1,2,3,6}:{(47,1),(53,1),(69,1)}
      60:{1,4,5}:{(48,1),(49,1),(54,1),(70,1),(71,1)}
      61:{1,3,5,6}:{(48,1),(55,1),(71,1)}
      62:{1,2,4}:{(49,1),(56,1),(68,1),(70,1)}
      63:{4,5}:{(50,1),(73,1)}
      64:{2,3,5,6}:{(50,1),(51,1),(53,1),(55,1),(73,1),(74,1),(75,1),(80,1)}
      65:{3,4,6}:{(52,1),(53,1),(69,1),(73,1),(74,1)}
      66:{2,3,5}:{(54,1),(56,1),(70,1),(72,1),(75,1)}
      67:{3,4,6}:{(54,1),(55,1),(71,1),(73,1),(75,1)}
      68:{1,2,3}:{(57,1),(62,1)}
      69:{1,4,6}:{(58,1),(59,1),(65,1),(76,1)}
      70:{1,2,5}:{(60,1),(62,1),(66,1),(77,1)}
      71:{1,4,6}:{(60,1),(61,1),(67,1),(77,1)}
      72:{2,4,5}:{(63,1),(66,1),(78,1)}
      73:{4,6}:{(63,1),(64,1)}
      74:{3,5,6}:{(65,1),(76,1),(79,1)}
      75:{2,3,6}:{(66,1),(67,1),(77,1),(78,1)}
      76:{1,5,6}:{(69,1),(74,1)}
      77:{1,2,6}:{(70,1),(71,1),(75,1)}
      78:{2,4,6}:{(72,1),(73,1),(75,1),(80,1)}
      79:{4,5,6}:{(73,1),(74,1),(80,1)}
      80:{2,5,6}:{(78,1),(79,1)}

482 :  0:{2,3,4,5}:{(1,1),(2,1),(37,1)}
       1:{1,2,4,5}:{(0,1),(5,1),(6,1),(32,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(6,1),(27,1)}
       3:{3,4,5,6}:{(4,1),(7,1),(27,1),(60,1),(62,1)}
       4:{2,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1),(11,1),(24,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(22,1)}
       7:{1,4,5,6}:{(3,1),(9,1),(12,1),(22,1)}
       8:{2,4,5,6}:{(4,1),(60,1)}
       9:{1,2,5,6}:{(4,1),(6,1),(7,1)}
      10:{1,3,4}:{(5,1)}
      11:{1,2,3,6}:{(5,1),(6,1),(17,1)}
      12:{1,3,5,6}:{(7,1),(18,1),(62,1)}
      13:{1,2,4,5,6}:{(8,1),(9,1),(19,1),(22,1),(41,1),(55,1),(56,1),(57,1)}
      14:{1,3,4,5}:{(10,1),(20,1),(21,1),(24,1),(42,1)}
      15:{1,2,3,5,6}:{(9,1),(11,1),(12,1),(19,1),(22,1),(24,1),(25,1),(41,1)}
      16:{1,2,3,4}:{(10,1),(20,1)}
      17:{1,3,4,6}:{(10,1),(11,1),(22,1),(24,1)}
      18:{1,3,4,6}:{(12,1),(22,1),(25,1),(26,1),(58,1)}
      19:{2,3,5,6}:{(13,1),(27,1),(46,1),(62,1),(63,1)}
      20:{1,2,3,5}:{(14,1),(16,1),(28,1),(29,1)}
      21:{1,3,4,6}:{(14,1),(29,1),(30,1),(49,1)}
      22:{1,4,6}:{(15,1),(27,1),(32,1)}
      23:{1,2,3,4,6}:{(16,1),(17,1),(29,1),(31,1),(33,1),(49,1),(52,1),(63,1)}
      24:{1,3,5}:{(17,1),(32,1)}
      25:{1,2,3,6}:{(18,1),(31,1),(34,1),(63,1)}
      26:{1,3,4,5}:{(18,1),(32,1),(34,1),(51,1)}
      27:{3,4,6}:{(19,1),(22,1),(37,1)}
      28:{1,2,4,5}:{(20,1),(35,1),(38,1),(42,1)}
      29:{1,2,3,6}:{(20,1),(21,1),(38,1)}
      30:{1,3,5,6}:{(21,1),(24,1),(39,1)}
      31:{1,2,4,6}:{(22,1),(25,1),(36,1),(41,1),(43,1)}
      32:{1,4,5}:{(22,1),(24,1),(37,1),(41,1)}
      33:{1,2,3,5}:{(23,1),(24,1),(41,1),(42,1),(59,1)}
      34:{1,2,3,5}:{(25,1),(26,1),(41,1),(43,1),(59,1)}
      35:{2,3,4,5}:{(28,1),(44,1),(51,1)}
      36:{2,3,4,6}:{(27,1),(31,1),(46,1),(52,1),(61,1),(63,1)}
      37:{3,4,5}:{(27,1),(32,1),(46,1)}
      38:{1,2,4,6}:{(28,1),(29,1),(44,1),(47,1),(49,1)}
      39:{1,4,5,6}:{(30,1),(32,1),(45,1),(48,1),(49,1)}
      40:{1,2,3,5,6}:{(29,1),(30,1),(33,1),(47,1),(48,1),(49,1),(62,1),(63,1)}
      41:{1,2,5}:{(31,1),(32,1),(46,1)}
      42:{1,4,5}:{(33,1),(49,1),(51,1)}
      43:{1,2,4}:{(34,1),(52,1)}
      44:{2,3,4,6}:{(35,1),(38,1),(53,1),(58,1)}
      45:{3,4,5,6}:{(37,1),(39,1),(54,1),(58,1)}
      46:{2,3,5}:{(36,1),(37,1),(41,1),(55,1)}
      47:{1,2,5,6}:{(38,1),(53,1),(56,1)}
      48:{1,2,5,6}:{(39,1),(41,1),(54,1),(57,1)}
      49:{1,4,6}:{(40,1),(42,1),(58,1)}
      50:{1,2,4,5}:{(41,1),(42,1),(43,1),(55,1),(57,1),(59,1)}
      51:{3,4,5}:{(42,1),(58,1),(59,1)}
      52:{2,3,4}:{(43,1),(59,1)}
      53:{2,3,5,6}:{(44,1),(47,1),(60,1),(62,1)}
      54:{2,3,5,6}:{(45,1),(46,1),(48,1),(61,1),(63,1)}
      55:{2,4,5}:{(46,1),(61,1)}
      56:{1,4,5,6}:{(47,1),(49,1),(60,1),(62,1)}
      57:{1,2,4,6}:{(48,1),(49,1),(50,1),(61,1),(63,1)}
      58:{3,4,6}:{(49,1),(51,1),(62,1),(63,1)}
      59:{2,3,5}:{(50,1),(51,1),(52,1),(63,1)}
      60:{4,5,6}:{(53,1)}
      61:{2,4,6}:{(54,1),(55,1)}
      62:{3,5,6}:{(56,1),(58,1)}
      63:{2,3,6}:{(57,1),(58,1),(59,1)}

483 :  0:{1,3,4,5}:{(1,1),(2,1),(28,1),(31,1)}
       1:{1,3,4,6}:{(0,1),(4,1),(5,1),(17,1),(44,1),(76,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(19,1),(20,1)}
       3:{3,4,5,6}:{(8,1),(9,1),(27,1),(46,1)}
       4:{1,3,5,6}:{(1,1),(9,1),(56,1),(68,1)}
       5:{1,2,3,6}:{(1,1),(2,1),(11,1),(32,1),(80,1)}
       6:{1,2,4}:{(2,1),(12,1)}
       7:{1,2,3,4}:{(12,1),(14,1)}
       8:{2,3,5,6}:{(3,1),(15,1),(16,1),(35,1),(36,1)}
       9:{1,4,5,6}:{(3,1),(4,1),(15,1),(17,1),(57,1),(67,1)}
      10:{1,2,3,5,6}:{(4,1),(5,1),(15,1),(17,1),(19,1),(36,1),(40,1),(43,1),(59,1),(63,1),(79,1)}
      11:{1,2,4,6}:{(5,1),(6,1),(17,1),(18,1),(19,1),(78,1),(79,1)}
      12:{2,3,4}:{(6,1),(20,1)}
      13:{1,2,4,5}:{(6,1),(19,1),(20,1),(21,1),(22,1),(42,1)}
      14:{1,2,3,5}:{(7,1),(20,1),(22,1),(23,1)}
      15:{1,2,5,6}:{(8,1),(9,1),(25,1),(48,1),(75,1)}
      16:{2,4,6}:{(8,1),(26,1)}
      17:{1,4,6}:{(10,1),(27,1),(28,1),(55,1),(70,1)}
      18:{2,3,4,6}:{(11,1),(12,1),(27,1),(29,1),(32,1),(55,1),(71,1),(74,1)}
      19:{1,2,5}:{(11,1),(28,1),(29,1)}
      20:{2,3,5}:{(12,1),(13,1),(31,1),(32,1)}
      21:{1,2,4,6}:{(13,1),(30,1),(32,1),(33,1),(55,1)}
      22:{1,4,5}:{(14,1),(31,1),(33,1)}
      23:{1,2,3,6}:{(14,1),(32,1),(33,1)}
      24:{2,3,4,6}:{(16,1),(34,1),(35,1),(36,1),(58,1),(61,1)}
      25:{1,2,4,6}:{(15,1),(16,1),(17,1),(36,1),(37,1),(66,1),(79,1)}
      26:{2,4,5}:{(16,1),(35,1)}
      27:{3,4,6}:{(17,1),(36,1),(40,1),(61,1)}
      28:{1,4,5}:{(17,1),(19,1),(40,1),(42,1)}
      29:{2,3,5}:{(18,1),(19,1),(40,1),(42,1)}
      30:{1,2,5,6}:{(19,1),(21,1),(41,1),(43,1),(45,1),(79,1)}
      31:{3,4,5}:{(20,1),(22,1),(42,1),(44,1)}
      32:{2,3,6}:{(20,1),(21,1),(44,1)}
      33:{1,4,6}:{(22,1),(23,1),(44,1),(45,1)}
      34:{1,2,4,6}:{(24,1),(47,1),(48,1),(69,1),(70,1)}
      35:{2,3,5}:{(24,1),(26,1),(46,1),(48,1)}
      36:{2,3,6}:{(25,1),(27,1),(50,1)}
      37:{1,2,4,5}:{(25,1),(26,1),(28,1),(48,1),(50,1),(54,1),(70,1),(72,1)}
      38:{2,4,5,6}:{(26,1),(49,1)}
      39:{1,3,4,6}:{(27,1),(47,1),(51,1),(70,1),(73,1)}
      40:{3,5}:{(27,1),(28,1)}
      41:{1,4,5,6}:{(28,1),(30,1),(53,1),(55,1),(73,1)}
      42:{4,5}:{(29,1),(55,1)}
      43:{2,3,5,6}:{(29,1),(30,1),(32,1),(53,1),(55,1),(56,1),(74,1),(75,1)}
      44:{3,4,6}:{(31,1),(32,1),(33,1),(55,1),(56,1)}
      45:{1,5,6}:{(33,1),(56,1)}
      46:{3,4,5}:{(35,1),(57,1),(58,1),(61,1)}
      47:{1,2,3,6}:{(34,1),(36,1),(39,1),(59,1),(77,1),(79,1)}
      48:{1,2,5}:{(34,1),(35,1),(57,1)}
      49:{2,3,5,6}:{(35,1),(38,1),(58,1),(60,1)}
      50:{2,3,5}:{(36,1),(37,1),(40,1),(61,1)}
      51:{1,3,5}:{(39,1),(40,1),(62,1)}
      52:{3,4,5}:{(40,1),(42,1),(61,1),(62,1),(64,1),(65,1)}
      53:{3,5,6}:{(40,1),(41,1),(65,1)}
      54:{2,4,5}:{(42,1),(64,1),(66,1)}
      55:{4,6}:{(42,1),(43,1)}
      56:{3,5,6}:{(44,1),(45,1),(67,1)}
      57:{1,4,5}:{(46,1),(48,1),(68,1),(69,1),(70,1)}
      58:{3,4,6}:{(46,1),(49,1),(69,1)}
      59:{1,2,3,5}:{(47,1),(48,1),(50,1),(51,1),(68,1),(70,1),(72,1),(80,1)}
      60:{1,2,5,6}:{(48,1),(49,1),(69,1)}
      61:{3,4}:{(50,1),(70,1)}
      62:{1,4,5}:{(51,1),(52,1),(70,1),(72,1),(73,1)}
      63:{1,3,5,6}:{(51,1),(53,1),(73,1)}
      64:{2,3,5}:{(52,1),(54,1),(71,1),(72,1),(74,1)}
      65:{3,4,6}:{(52,1),(53,1),(55,1),(73,1),(74,1)}
      66:{2,4,6}:{(54,1),(55,1),(74,1),(75,1)}
      67:{4,5,6}:{(55,1),(56,1),(75,1)}
      68:{1,3,5}:{(57,1),(76,1),(77,1)}
      69:{1,4,6}:{(57,1),(58,1),(60,1),(77,1)}
      70:{1,4}:{(59,1),(61,1)}
      71:{2,3,4}:{(61,1),(64,1),(78,1)}
      72:{1,2,5}:{(62,1),(64,1),(78,1),(79,1)}
      73:{1,4,6}:{(62,1),(63,1),(65,1),(79,1)}
      74:{2,3,6}:{(64,1),(65,1),(66,1),(79,1)}
      75:{2,5,6}:{(66,1),(67,1)}
      76:{1,3,4}:{(68,1),(70,1),(80,1)}
      77:{1,3,6}:{(68,1),(69,1)}
      78:{1,2,4}:{(70,1),(71,1),(72,1),(80,1)}
      79:{1,2,6}:{(72,1),(73,1),(74,1)}
      80:{1,2,3}:{(76,1),(78,1)}

484 :  0:{1,2,3,4}:{(1,1),(18,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1),(10,1)}
       2:{1,4,5}:{(1,1),(5,1),(7,1)}
       3:{1,2,3,6}:{(1,1),(7,1),(19,1)}
       4:{1,3,4,5}:{(5,1),(8,1),(9,1),(38,1)}
       5:{3,4,5}:{(2,1),(10,1),(11,1),(44,1)}
       6:{1,2,4,5}:{(2,1),(10,1),(12,1),(14,1),(30,1),(44,1)}
       7:{1,4,6}:{(2,1),(3,1),(11,1),(13,1)}
       8:{1,2,3,5}:{(4,1),(10,1),(14,1),(15,1),(30,1)}
       9:{1,3,4,6}:{(4,1),(11,1),(15,1),(16,1),(32,1),(79,1)}
      10:{2,3,5}:{(5,1),(6,1),(18,1),(19,1)}
      11:{3,4,6}:{(5,1),(7,1),(19,1),(20,1),(36,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(19,1),(21,1),(36,1)}
      13:{1,5,6}:{(7,1),(20,1)}
      14:{1,2,4}:{(8,1),(18,1)}
      15:{1,2,3,6}:{(8,1),(9,1),(19,1),(22,1),(80,1)}
      16:{1,3,5,6}:{(9,1),(20,1),(23,1),(76,1)}
      17:{3,4,5,6}:{(23,1),(25,1),(40,1),(62,1)}
      18:{2,3,4}:{(10,1),(14,1)}
      19:{2,3,6}:{(10,1),(11,1),(12,1)}
      20:{3,5,6}:{(11,1),(13,1),(27,1)}
      21:{1,2,5,6}:{(12,1),(13,1),(28,1),(29,1),(30,1),(68,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(26,1),(30,1),(32,1),(68,1),(78,1)}
      23:{1,4,5,6}:{(16,1),(17,1),(27,1),(31,1),(32,1),(71,1)}
      24:{1,2,3,5,6}:{(15,1),(16,1),(28,1),(30,1),(31,1),(32,1),(47,1),(49,1),(50,1),(68,1),(70,1)}
      25:{2,3,5,6}:{(17,1),(31,1),(33,1),(50,1),(52,1)}
      26:{2,3,4,6}:{(18,1),(19,1),(22,1),(34,1),(36,1),(40,1),(57,1),(73,1)}
      27:{4,5,6}:{(20,1),(35,1),(36,1)}
      28:{2,3,5,6}:{(19,1),(20,1),(21,1),(34,1),(35,1),(36,1),(37,1),(57,1)}
      29:{1,4,5,6}:{(21,1),(36,1),(37,1),(38,1),(58,1)}
      30:{1,2,5}:{(22,1),(34,1),(38,1)}
      31:{1,2,5,6}:{(23,1),(25,1),(35,1),(39,1),(63,1)}
      32:{1,4,6}:{(24,1),(36,1),(38,1),(40,1),(75,1)}
      33:{2,4,6}:{(25,1),(41,1)}
      34:{2,3,5}:{(26,1),(30,1),(44,1),(49,1)}
      35:{2,5,6}:{(27,1),(45,1)}
      36:{4,6}:{(28,1),(44,1)}
      37:{3,5,6}:{(29,1),(46,1),(49,1)}
      38:{1,4,5}:{(30,1),(32,1),(44,1),(49,1)}
      39:{1,2,4,6}:{(31,1),(32,1),(33,1),(45,1),(48,1),(50,1),(68,1)}
      40:{3,4,6}:{(32,1),(49,1),(50,1),(69,1)}
      41:{2,4,5}:{(33,1),(52,1)}
      42:{2,3,4,6}:{(33,1),(50,1),(52,1),(53,1),(64,1),(69,1)}
      43:{2,4,5,6}:{(41,1),(54,1)}
      44:{4,5}:{(34,1),(36,1)}
      45:{2,4,6}:{(35,1),(36,1),(55,1),(57,1)}
      46:{3,4,6}:{(36,1),(37,1),(56,1),(57,1),(58,1)}
      47:{1,3,5,6}:{(37,1),(58,1),(60,1)}
      48:{1,2,4,5}:{(38,1),(39,1),(41,1),(55,1),(59,1),(63,1),(74,1),(75,1)}
      49:{3,5}:{(38,1),(40,1)}
      50:{2,3,6}:{(39,1),(40,1),(59,1)}
      51:{1,3,4,6}:{(40,1),(58,1),(60,1),(61,1),(75,1)}
      52:{2,3,5}:{(41,1),(42,1),(62,1),(63,1)}
      53:{1,2,4,6}:{(42,1),(61,1),(63,1),(72,1),(75,1)}
      54:{2,3,5,6}:{(43,1),(52,1),(64,1),(65,1)}
      55:{2,4,5}:{(44,1),(45,1),(66,1)}
      56:{3,4,5}:{(44,1),(46,1),(49,1),(66,1),(67,1),(69,1)}
      57:{2,3,6}:{(45,1),(46,1),(66,1),(68,1)}
      58:{1,4,6}:{(46,1),(47,1),(67,1),(68,1)}
      59:{2,3,5}:{(48,1),(49,1),(50,1),(69,1)}
      60:{1,3,5}:{(49,1),(51,1),(67,1)}
      61:{1,2,3,6}:{(50,1),(51,1),(53,1),(68,1),(70,1),(77,1)}
      62:{3,4,5}:{(52,1),(64,1),(69,1),(71,1)}
      63:{1,2,5}:{(52,1),(53,1),(71,1)}
      64:{3,4,6}:{(54,1),(62,1),(72,1)}
      65:{1,2,5,6}:{(54,1),(63,1),(72,1)}
      66:{2,3,5}:{(55,1),(56,1),(57,1),(73,1),(74,1)}
      67:{1,4,5}:{(56,1),(58,1),(60,1),(74,1),(75,1)}
      68:{1,2,6}:{(57,1),(58,1),(74,1)}
      69:{3,4}:{(59,1),(75,1)}
      70:{1,2,3,5}:{(59,1),(60,1),(61,1),(63,1),(74,1),(75,1),(76,1),(80,1)}
      71:{1,4,5}:{(62,1),(63,1),(72,1),(75,1),(76,1)}
      72:{1,4,6}:{(64,1),(65,1),(71,1),(77,1)}
      73:{2,3,4}:{(66,1),(69,1),(78,1)}
      74:{1,2,5}:{(66,1),(67,1),(68,1),(78,1)}
      75:{1,4}:{(69,1),(70,1)}
      76:{1,3,5}:{(71,1),(77,1),(79,1)}
      77:{1,3,6}:{(72,1),(76,1)}
      78:{1,2,4}:{(73,1),(74,1),(75,1),(80,1)}
      79:{1,3,4}:{(75,1),(76,1),(80,1)}
      80:{1,2,3}:{(78,1),(79,1)}

485 :  0:{2,3,4,5}:{(2,1),(3,1),(23,1)}
       1:{1,2,3,4}:{(6,1),(48,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(16,1)}
       3:{2,3,4,6}:{(0,1),(5,1),(7,1),(35,1)}
       4:{1,2,3,4,6}:{(1,1),(9,1),(12,1),(26,1),(43,1),(45,1),(56,1),(57,1)}
       5:{2,3,5,6}:{(3,1),(8,1),(10,1),(24,1)}
       6:{1,2,3,5}:{(1,1),(2,1),(11,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(10,1),(12,1),(26,1)}
       8:{4,5,6}:{(5,1)}
       9:{1,2,3,5}:{(4,1),(16,1),(34,1),(61,1),(62,1)}
      10:{1,2,5,6}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,5}:{(6,1),(16,1),(18,1),(48,1),(61,1)}
      12:{1,2,3,6}:{(6,1),(7,1),(18,1)}
      13:{3,4,5,6}:{(8,1),(20,1),(21,1),(24,1),(44,1)}
      14:{2,4,5,6}:{(8,1),(20,1)}
      15:{1,4,5,6}:{(8,1),(10,1),(24,1),(26,1)}
      16:{1,4,5}:{(9,1),(23,1),(26,1)}
      17:{1,2,3,5,6}:{(9,1),(10,1),(12,1),(24,1),(26,1),(27,1),(45,1),(47,1)}
      18:{1,3,4,6}:{(11,1),(12,1),(26,1),(27,1)}
      19:{2,3,4,5}:{(28,1),(29,1),(54,1)}
      20:{2,3,5,6}:{(13,1),(14,1),(29,1),(30,1)}
      21:{1,4,5,6}:{(13,1),(30,1),(32,1),(51,1)}
      22:{1,2,4,5,6}:{(14,1),(15,1),(30,1),(33,1),(36,1),(51,1),(62,1),(63,1)}
      23:{3,4,5}:{(16,1),(34,1),(35,1)}
      24:{3,5,6}:{(15,1),(35,1)}
      25:{1,2,4,5}:{(16,1),(34,1),(36,1),(50,1),(62,1),(63,1)}
      26:{1,4,6}:{(16,1),(17,1),(35,1)}
      27:{1,3,5,6}:{(18,1),(37,1),(61,1)}
      28:{1,2,4,5}:{(19,1),(38,1),(39,1),(58,1)}
      29:{2,3,4,6}:{(19,1),(20,1),(39,1),(44,1)}
      30:{1,2,5,6}:{(20,1),(21,1),(39,1)}
      31:{1,3,4,5}:{(23,1),(41,1),(42,1),(58,1)}
      32:{1,3,5,6}:{(21,1),(24,1),(42,1)}
      33:{2,3,5,6}:{(22,1),(24,1),(44,1),(45,1),(59,1)}
      34:{2,3,5}:{(23,1),(25,1),(43,1),(45,1)}
      35:{3,4,6}:{(23,1),(24,1),(26,1),(45,1)}
      36:{1,2,4,6}:{(25,1),(26,1),(45,1),(47,1),(60,1)}
      37:{1,4,5,6}:{(26,1),(27,1),(46,1),(47,1),(58,1)}
      38:{1,2,3,5}:{(28,1),(48,1),(49,1),(61,1)}
      39:{1,2,4,6}:{(28,1),(29,1),(30,1),(49,1),(51,1)}
      40:{1,2,3,5,6}:{(30,1),(32,1),(33,1),(49,1),(51,1),(52,1),(61,1),(62,1)}
      41:{1,2,3,5}:{(31,1),(34,1),(50,1),(52,1),(62,1)}
      42:{1,3,4,6}:{(31,1),(32,1),(35,1),(51,1),(52,1)}
      43:{2,3,4}:{(34,1),(50,1)}
      44:{3,4,6}:{(33,1),(51,1),(54,1)}
      45:{2,3,6}:{(34,1),(35,1),(36,1)}
      46:{3,4,5,6}:{(35,1),(37,1),(54,1),(55,1)}
      47:{1,2,5,6}:{(36,1),(37,1),(55,1),(62,1)}
      48:{1,3,4}:{(38,1)}
      49:{1,2,3,6}:{(38,1),(39,1),(56,1)}
      50:{1,2,4}:{(41,1),(43,1)}
      51:{1,4,6}:{(40,1),(44,1),(58,1)}
      52:{1,2,3,6}:{(41,1),(42,1),(45,1),(57,1)}
      53:{2,3,4,6}:{(43,1),(44,1),(45,1),(57,1),(59,1),(60,1)}
      54:{3,4,5}:{(44,1),(58,1),(59,1)}
      55:{2,3,5,6}:{(45,1),(46,1),(47,1),(59,1),(60,1)}
      56:{1,3,4,6}:{(48,1),(49,1),(51,1),(61,1)}
      57:{1,2,4,6}:{(50,1),(51,1),(52,1),(53,1),(62,1)}
      58:{1,4,5}:{(51,1),(54,1),(61,1),(62,1)}
      59:{2,3,5}:{(53,1),(54,1),(62,1),(63,1)}
      60:{2,4,6}:{(55,1),(63,1)}
      61:{1,3,5}:{(56,1),(58,1)}
      62:{1,2,5}:{(57,1),(58,1),(59,1)}
      63:{2,4,5}:{(59,1),(60,1)}

486 :  0:{1,2,3,4,6}:{(1,1),(7,1),(19,1),(20,1),(39,1),(43,1),(55,1),(56,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(10,1),(48,1),(58,1)}
       2:{1,4,5}:{(1,1),(5,1),(7,1),(56,1)}
       3:{1,2,3,5,6}:{(1,1),(7,1),(20,1),(21,1),(22,1)}
       4:{1,2,4,5,6}:{(8,1),(22,1),(23,1),(42,1),(45,1),(46,1),(47,1),(54,1)}
       5:{3,4,5}:{(2,1),(10,1),(11,1),(50,1),(58,1),(59,1)}
       6:{1,2,4,5}:{(2,1),(10,1),(12,1),(28,1),(48,1),(50,1)}
       7:{1,4,6}:{(2,1),(3,1),(11,1)}
       8:{2,3,5,6}:{(4,1),(15,1),(37,1),(53,1),(58,1)}
       9:{1,3,4,5}:{(5,1),(17,1),(18,1),(44,1),(54,1),(56,1)}
      10:{2,3,5}:{(5,1),(6,1),(19,1),(20,1)}
      11:{3,4,6}:{(5,1),(7,1),(20,1),(21,1),(42,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(20,1),(22,1),(42,1)}
      13:{1,4,5,6}:{(7,1),(21,1),(22,1),(42,1),(54,1)}
      14:{1,2,3,5,6}:{(8,1),(23,1),(43,1),(44,1),(45,1)}
      15:{3,4,6}:{(8,1),(23,1),(26,1),(42,1)}
      16:{3,4,5,6}:{(21,1),(24,1),(26,1),(27,1),(42,1),(55,1)}
      17:{1,2,3,5}:{(9,1),(10,1),(28,1),(29,1),(48,1)}
      18:{1,3,4,6}:{(9,1),(11,1),(29,1),(30,1),(49,1)}
      19:{2,3,4}:{(10,1),(28,1),(59,1)}
      20:{2,3,6}:{(10,1),(11,1),(12,1)}
      21:{3,5,6}:{(11,1),(13,1),(58,1)}
      22:{1,2,5,6}:{(12,1),(13,1),(32,1),(48,1)}
      23:{1,4,6}:{(14,1),(15,1),(35,1)}
      24:{1,4,5,6}:{(16,1),(30,1),(35,1),(36,1),(49,1)}
      25:{2,3,4,6}:{(15,1),(34,1),(37,1),(38,1),(53,1),(59,1)}
      26:{3,4,5}:{(15,1),(35,1),(37,1),(50,1),(58,1),(59,1)}
      27:{2,3,5,6}:{(16,1),(36,1),(37,1),(38,1),(53,1)}
      28:{1,2,4}:{(17,1),(19,1),(56,1)}
      29:{1,2,3,6}:{(17,1),(18,1),(20,1),(39,1)}
      30:{1,3,5,6}:{(18,1),(21,1),(24,1),(44,1)}
      31:{2,3,4,6}:{(19,1),(20,1),(39,1),(41,1),(42,1),(55,1)}
      32:{2,3,5,6}:{(20,1),(21,1),(22,1),(41,1),(42,1)}
      33:{1,3,4,6}:{(23,1),(43,1),(44,1),(55,1),(56,1)}
      34:{1,2,4,6}:{(23,1),(25,1),(43,1),(45,1),(56,1)}
      35:{1,4,5}:{(23,1),(26,1),(44,1),(45,1),(56,1)}
      36:{1,2,5,6}:{(24,1),(27,1),(45,1),(46,1)}
      37:{2,3,5}:{(25,1),(26,1),(45,1),(47,1)}
      38:{2,4,6}:{(27,1),(42,1),(47,1)}
      39:{1,2,4,6}:{(28,1),(29,1),(31,1),(48,1),(49,1)}
      40:{1,2,3,5,6}:{(29,1),(30,1),(32,1),(36,1),(48,1),(49,1),(51,1),(53,1),(58,1)}
      41:{2,3,5}:{(31,1),(48,1),(50,1),(58,1)}
      42:{4,6}:{(32,1),(50,1)}
      43:{1,2,3,6}:{(33,1),(34,1),(51,1),(53,1)}
      44:{1,3,5}:{(33,1),(35,1),(58,1)}
      45:{1,2,5}:{(34,1),(35,1),(37,1)}
      46:{1,2,4,6}:{(36,1),(38,1),(49,1),(52,1),(53,1)}
      47:{2,4,5}:{(37,1),(38,1),(50,1)}
      48:{1,2,5}:{(39,1),(41,1),(54,1)}
      49:{1,4,6}:{(40,1),(42,1),(54,1),(55,1),(56,1)}
      50:{4,5}:{(41,1),(42,1)}
      51:{1,2,3,5}:{(43,1),(44,1),(45,1),(56,1),(57,1)}
      52:{1,2,4,5}:{(45,1),(46,1),(47,1),(54,1),(56,1),(57,1)}
      53:{2,3,6}:{(46,1),(55,1),(57,1)}
      54:{1,4,5}:{(48,1),(49,1),(50,1),(58,1)}
      55:{3,4,6}:{(49,1),(53,1),(58,1),(59,1)}
      56:{1,4}:{(51,1),(59,1)}
      57:{2,3,5}:{(52,1),(53,1),(58,1),(59,1)}
      58:{3,5}:{(54,1),(55,1)}
      59:{3,4}:{(56,1),(57,1)}

487 :  0:{2,3,4,5}:{(2,1),(4,1),(27,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(18,1),(62,1),(63,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(7,1),(18,1)}
       3:{1,2,3,4}:{(5,1),(63,1)}
       4:{2,3,4,6}:{(0,1),(7,1),(9,1),(31,1)}
       5:{1,2,3,5}:{(1,1),(2,1),(3,1),(10,1)}
       6:{1,3,4,6}:{(1,1),(10,1),(11,1),(21,1)}
       7:{1,2,4,6}:{(2,1),(4,1),(10,1),(12,1),(21,1)}
       8:{1,2,3,4,6}:{(3,1),(10,1),(13,1),(21,1),(39,1),(45,1),(56,1),(58,1)}
       9:{2,3,5,6}:{(4,1),(12,1),(14,1),(25,1)}
      10:{1,2,3,6}:{(5,1),(6,1),(7,1)}
      11:{1,3,5,6}:{(6,1),(16,1),(62,1)}
      12:{1,2,5,6}:{(7,1),(9,1),(17,1)}
      13:{1,2,3,5}:{(8,1),(18,1),(35,1),(61,1),(62,1)}
      14:{4,5,6}:{(9,1)}
      15:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(13,1),(21,1),(22,1),(25,1),(39,1)}
      16:{1,4,5,6}:{(11,1),(21,1),(22,1),(23,1),(59,1)}
      17:{1,4,5,6}:{(12,1),(14,1),(21,1),(25,1)}
      18:{1,4,5}:{(13,1),(21,1),(27,1)}
      19:{2,4,5,6}:{(14,1),(28,1)}
      20:{3,4,5,6}:{(14,1),(25,1),(28,1),(29,1),(43,1)}
      21:{1,4,6}:{(15,1),(18,1),(31,1)}
      22:{1,2,5,6}:{(16,1),(30,1),(32,1),(61,1)}
      23:{3,4,5,6}:{(16,1),(31,1),(32,1),(52,1)}
      24:{1,2,4,5,6}:{(17,1),(19,1),(30,1),(33,1),(37,1),(50,1),(51,1),(61,1)}
      25:{3,5,6}:{(17,1),(31,1)}
      26:{1,2,4,5}:{(18,1),(30,1),(35,1),(50,1),(53,1),(61,1)}
      27:{3,4,5}:{(18,1),(31,1),(35,1)}
      28:{2,3,5,6}:{(19,1),(20,1),(37,1),(38,1)}
      29:{1,4,5,6}:{(20,1),(34,1),(37,1),(51,1)}
      30:{1,2,4,6}:{(21,1),(22,1),(26,1),(39,1),(41,1)}
      31:{3,4,6}:{(21,1),(25,1),(27,1),(39,1)}
      32:{2,3,5,6}:{(22,1),(23,1),(39,1),(41,1),(57,1)}
      33:{2,3,5,6}:{(24,1),(25,1),(39,1),(43,1),(57,1)}
      34:{1,3,5,6}:{(25,1),(29,1),(40,1)}
      35:{2,3,5}:{(26,1),(27,1),(39,1),(45,1)}
      36:{1,3,4,5}:{(27,1),(40,1),(44,1),(59,1)}
      37:{1,2,5,6}:{(28,1),(29,1),(46,1)}
      38:{2,3,4,6}:{(28,1),(43,1),(46,1),(47,1)}
      39:{2,3,6}:{(30,1),(31,1),(35,1)}
      40:{1,3,4,6}:{(31,1),(34,1),(36,1),(48,1),(51,1)}
      41:{2,4,6}:{(32,1),(50,1)}
      42:{1,2,3,5,6}:{(33,1),(34,1),(37,1),(48,1),(51,1),(54,1),(61,1),(62,1)}
      43:{3,4,6}:{(33,1),(51,1),(52,1)}
      44:{1,2,3,5}:{(35,1),(36,1),(48,1),(53,1),(61,1)}
      45:{2,3,4}:{(35,1),(53,1)}
      46:{1,2,4,6}:{(37,1),(38,1),(51,1),(54,1),(55,1)}
      47:{2,3,4,5}:{(38,1),(52,1),(55,1)}
      48:{1,2,3,6}:{(39,1),(40,1),(44,1),(56,1)}
      49:{2,3,4,6}:{(39,1),(41,1),(43,1),(45,1),(56,1),(57,1)}
      50:{2,4,5}:{(41,1),(57,1)}
      51:{1,4,6}:{(42,1),(43,1),(59,1)}
      52:{3,4,5}:{(43,1),(57,1),(59,1)}
      53:{1,2,4}:{(44,1),(45,1)}
      54:{1,2,3,6}:{(46,1),(58,1),(60,1)}
      55:{1,2,4,5}:{(46,1),(47,1),(59,1),(60,1)}
      56:{1,2,4,6}:{(48,1),(49,1),(51,1),(53,1),(61,1)}
      57:{2,3,5}:{(49,1),(50,1),(52,1),(61,1)}
      58:{1,3,4,6}:{(51,1),(54,1),(62,1),(63,1)}
      59:{1,4,5}:{(51,1),(52,1),(61,1),(62,1)}
      60:{1,2,3,5}:{(54,1),(55,1),(62,1),(63,1)}
      61:{1,2,5}:{(56,1),(57,1),(59,1)}
      62:{1,3,5}:{(58,1),(59,1)}
      63:{1,3,4}:{(60,1)}

488 :  0:{2,4,5,6}:{(1,1),(22,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(4,1),(15,1)}
       2:{3,4,5,6}:{(5,1),(6,1),(9,1),(38,1)}
       3:{1,2,5,6}:{(1,1),(8,1),(24,1)}
       4:{3,4,6}:{(1,1),(8,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(12,1),(13,1),(15,1),(29,1)}
       6:{1,4,5,6}:{(2,1),(11,1),(12,1),(17,1),(28,1),(79,1)}
       7:{2,3,4,6}:{(4,1),(13,1),(14,1),(15,1),(29,1),(51,1)}
       8:{1,4,6}:{(3,1),(4,1),(16,1),(17,1)}
       9:{3,4,5}:{(4,1),(15,1),(17,1),(51,1)}
      10:{1,3,4,5}:{(18,1),(19,1),(39,1),(59,1)}
      11:{1,3,5,6}:{(6,1),(18,1),(25,1),(76,1)}
      12:{1,2,5,6}:{(5,1),(6,1),(21,1),(24,1),(80,1)}
      13:{2,4,6}:{(5,1),(22,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(23,1),(24,1),(42,1)}
      15:{2,3,5}:{(7,1),(9,1),(22,1),(24,1)}
      16:{1,3,6}:{(8,1),(25,1)}
      17:{1,4,5}:{(8,1),(9,1),(24,1),(25,1),(42,1)}
      18:{1,3,4,6}:{(10,1),(11,1),(26,1),(28,1),(34,1),(69,1)}
      19:{1,2,3,5}:{(10,1),(26,1),(27,1),(46,1),(47,1)}
      20:{1,2,3,5,6}:{(11,1),(12,1),(26,1),(28,1),(29,1),(32,1),(46,1),(49,1),(53,1),(68,1),(72,1)}
      21:{1,2,4,6}:{(12,1),(13,1),(28,1),(29,1),(30,1),(72,1),(78,1)}
      22:{2,4,5}:{(13,1),(15,1)}
      23:{1,2,3,6}:{(14,1),(16,1),(29,1),(31,1),(32,1),(72,1)}
      24:{1,2,5}:{(14,1),(15,1),(17,1)}
      25:{1,3,5}:{(16,1),(17,1),(34,1)}
      26:{1,2,3,6}:{(18,1),(19,1),(35,1),(44,1),(60,1)}
      27:{1,2,4}:{(19,1),(36,1)}
      28:{1,4,6}:{(20,1),(38,1),(39,1),(42,1),(75,1)}
      29:{2,3,6}:{(21,1),(38,1),(40,1)}
      30:{1,2,4,5}:{(21,1),(22,1),(24,1),(39,1),(40,1),(42,1),(64,1),(74,1)}
      31:{1,3,4,6}:{(23,1),(38,1),(41,1),(42,1),(65,1)}
      32:{1,2,3,5}:{(23,1),(24,1),(25,1),(40,1),(41,1),(42,1),(44,1),(64,1)}
      33:{1,2,3,4}:{(36,1),(43,1)}
      34:{1,3,4}:{(25,1),(42,1),(44,1)}
      35:{1,2,4,6}:{(26,1),(27,1),(28,1),(45,1),(46,1),(54,1),(72,1)}
      36:{2,3,4}:{(27,1),(47,1)}
      37:{1,2,4,5}:{(27,1),(46,1),(47,1),(48,1),(55,1),(67,1)}
      38:{3,4,6}:{(28,1),(29,1),(49,1),(51,1)}
      39:{1,4,5}:{(28,1),(46,1),(49,1),(67,1)}
      40:{2,3,5}:{(29,1),(30,1),(49,1),(51,1)}
      41:{1,3,5}:{(31,1),(49,1),(52,1)}
      42:{1,4}:{(32,1),(51,1)}
      43:{1,2,3,5}:{(33,1),(47,1),(55,1),(56,1)}
      44:{1,2,3}:{(34,1),(54,1)}
      45:{2,3,4,6}:{(35,1),(36,1),(38,1),(57,1),(60,1),(63,1),(75,1),(77,1)}
      46:{1,2,5}:{(35,1),(39,1),(57,1)}
      47:{2,3,5}:{(36,1),(37,1),(59,1),(60,1)}
      48:{1,2,4,6}:{(37,1),(58,1),(60,1),(66,1),(75,1)}
      49:{3,5}:{(38,1),(39,1)}
      50:{1,4,5,6}:{(39,1),(58,1),(62,1),(65,1),(75,1)}
      51:{3,4}:{(40,1),(42,1)}
      52:{1,4,5}:{(41,1),(42,1),(61,1),(64,1),(65,1)}
      53:{1,3,5,6}:{(41,1),(62,1),(65,1)}
      54:{1,2,4}:{(42,1),(44,1),(63,1),(64,1)}
      55:{1,4,5}:{(43,1),(59,1),(66,1)}
      56:{1,2,3,6}:{(43,1),(60,1),(66,1)}
      57:{2,3,5}:{(45,1),(46,1),(49,1),(67,1)}
      58:{1,2,5,6}:{(46,1),(48,1),(50,1),(68,1),(72,1),(73,1)}
      59:{3,4,5}:{(47,1),(55,1),(67,1),(69,1)}
      60:{2,3,6}:{(47,1),(48,1),(69,1)}
      61:{3,4,5}:{(49,1),(51,1),(52,1),(67,1),(70,1),(71,1)}
      62:{3,5,6}:{(49,1),(50,1),(71,1)}
      63:{2,3,4}:{(51,1),(54,1),(70,1)}
      64:{1,2,5}:{(52,1),(54,1),(70,1),(72,1)}
      65:{1,4,6}:{(52,1),(53,1),(71,1),(72,1)}
      66:{1,4,6}:{(55,1),(56,1),(69,1),(73,1)}
      67:{4,5}:{(57,1),(75,1)}
      68:{2,3,5,6}:{(57,1),(58,1),(60,1),(62,1),(75,1),(76,1),(77,1),(80,1)}
      69:{3,4,6}:{(59,1),(60,1),(66,1),(75,1),(76,1)}
      70:{2,3,5}:{(61,1),(63,1),(64,1),(74,1),(77,1)}
      71:{3,4,6}:{(61,1),(62,1),(65,1),(75,1),(77,1)}
      72:{1,2,6}:{(64,1),(65,1),(77,1)}
      73:{1,5,6}:{(66,1),(76,1)}
      74:{2,4,5}:{(67,1),(70,1),(78,1)}
      75:{4,6}:{(67,1),(68,1)}
      76:{3,5,6}:{(69,1),(73,1),(79,1)}
      77:{2,3,6}:{(70,1),(71,1),(72,1),(78,1)}
      78:{2,4,6}:{(74,1),(75,1),(77,1),(80,1)}
      79:{4,5,6}:{(75,1),(76,1),(80,1)}
      80:{2,5,6}:{(78,1),(79,1)}

489 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

490 :  0:{1,2,3,4,6}:{(1,1),(5,1),(19,1),(22,1),(41,1),(45,1),(54,1),(57,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(12,1),(50,1),(58,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(17,1),(18,1),(19,1)}
       3:{1,4,5}:{(1,1),(5,1),(7,1),(57,1)}
       4:{1,2,4,5,6}:{(8,1),(17,1),(26,1),(40,1),(43,1),(44,1),(46,1),(55,1)}
       5:{1,4,6}:{(2,1),(3,1),(11,1)}
       6:{1,2,4,5}:{(3,1),(10,1),(12,1),(32,1),(49,1),(50,1)}
       7:{3,4,5}:{(3,1),(11,1),(12,1),(49,1),(58,1),(59,1)}
       8:{2,3,5,6}:{(4,1),(16,1),(36,1),(51,1),(58,1)}
       9:{1,4,5,6}:{(5,1),(17,1),(18,1),(40,1),(55,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(17,1),(19,1),(40,1)}
      11:{3,4,6}:{(5,1),(7,1),(18,1),(19,1),(40,1)}
      12:{2,3,5}:{(6,1),(7,1),(19,1),(22,1)}
      13:{1,3,4,5}:{(7,1),(20,1),(21,1),(47,1),(55,1),(57,1)}
      14:{3,4,5,6}:{(18,1),(23,1),(24,1),(27,1),(40,1),(54,1)}
      15:{1,2,3,5,6}:{(8,1),(26,1),(45,1),(46,1),(47,1)}
      16:{3,4,6}:{(8,1),(26,1),(27,1),(40,1)}
      17:{1,2,5,6}:{(9,1),(10,1),(28,1),(50,1)}
      18:{3,5,6}:{(9,1),(11,1),(58,1)}
      19:{2,3,6}:{(10,1),(11,1),(12,1)}
      20:{1,3,4,6}:{(11,1),(13,1),(29,1),(30,1),(48,1)}
      21:{1,2,3,5}:{(12,1),(13,1),(30,1),(32,1),(50,1)}
      22:{2,3,4}:{(12,1),(32,1),(59,1)}
      23:{2,3,5,6}:{(14,1),(33,1),(34,1),(36,1),(51,1)}
      24:{1,4,5,6}:{(14,1),(29,1),(33,1),(38,1),(48,1)}
      25:{2,3,4,6}:{(16,1),(34,1),(35,1),(36,1),(51,1),(59,1)}
      26:{1,4,6}:{(15,1),(16,1),(38,1)}
      27:{3,4,5}:{(16,1),(36,1),(38,1),(49,1),(58,1),(59,1)}
      28:{2,3,5,6}:{(17,1),(18,1),(19,1),(40,1),(42,1)}
      29:{1,3,5,6}:{(18,1),(20,1),(24,1),(47,1)}
      30:{1,2,3,6}:{(19,1),(20,1),(21,1),(41,1)}
      31:{2,3,4,6}:{(19,1),(22,1),(40,1),(41,1),(42,1),(54,1)}
      32:{1,2,4}:{(21,1),(22,1),(57,1)}
      33:{1,2,5,6}:{(23,1),(24,1),(43,1),(46,1)}
      34:{2,4,6}:{(23,1),(40,1),(44,1)}
      35:{1,2,4,6}:{(25,1),(26,1),(45,1),(46,1),(57,1)}
      36:{2,3,5}:{(25,1),(27,1),(44,1),(46,1)}
      37:{1,3,4,6}:{(26,1),(45,1),(47,1),(54,1),(57,1)}
      38:{1,4,5}:{(26,1),(27,1),(46,1),(47,1),(57,1)}
      39:{1,2,3,5,6}:{(28,1),(29,1),(30,1),(33,1),(48,1),(50,1),(51,1),(53,1),(58,1)}
      40:{4,6}:{(28,1),(49,1)}
      41:{1,2,4,6}:{(30,1),(31,1),(32,1),(48,1),(50,1)}
      42:{2,3,5}:{(31,1),(49,1),(50,1),(58,1)}
      43:{1,2,4,6}:{(33,1),(34,1),(48,1),(51,1),(52,1)}
      44:{2,4,5}:{(34,1),(36,1),(49,1)}
      45:{1,2,3,6}:{(35,1),(37,1),(51,1),(53,1)}
      46:{1,2,5}:{(35,1),(36,1),(38,1)}
      47:{1,3,5}:{(37,1),(38,1),(58,1)}
      48:{1,4,6}:{(39,1),(40,1),(54,1),(55,1),(57,1)}
      49:{4,5}:{(40,1),(42,1)}
      50:{1,2,5}:{(41,1),(42,1),(55,1)}
      51:{2,3,6}:{(43,1),(54,1),(56,1)}
      52:{1,2,4,5}:{(43,1),(44,1),(46,1),(55,1),(56,1),(57,1)}
      53:{1,2,3,5}:{(45,1),(46,1),(47,1),(56,1),(57,1)}
      54:{3,4,6}:{(48,1),(51,1),(58,1),(59,1)}
      55:{1,4,5}:{(48,1),(49,1),(50,1),(58,1)}
      56:{2,3,5}:{(51,1),(52,1),(58,1),(59,1)}
      57:{1,4}:{(53,1),(59,1)}
      58:{3,5}:{(54,1),(55,1)}
      59:{3,4}:{(56,1),(57,1)}

491 :  0:{1,3,4,5}:{(2,1),(3,1),(14,1),(62,1),(63,1)}
       1:{1,2,3,4}:{(2,1),(63,1)}
       2:{1,2,3,5}:{(0,1),(1,1),(6,1),(7,1)}
       3:{1,3,4,6}:{(0,1),(7,1),(8,1),(17,1)}
       4:{1,2,3,4,6}:{(1,1),(7,1),(9,1),(17,1),(33,1),(37,1),(50,1),(59,1)}
       5:{2,3,4,5}:{(6,1),(10,1),(21,1)}
       6:{1,2,4,5}:{(2,1),(5,1),(11,1),(14,1)}
       7:{1,2,3,6}:{(2,1),(3,1),(11,1)}
       8:{1,3,5,6}:{(3,1),(13,1),(62,1)}
       9:{1,2,3,5}:{(4,1),(14,1),(27,1),(56,1),(62,1)}
      10:{2,3,4,6}:{(5,1),(11,1),(15,1),(25,1)}
      11:{1,2,4,6}:{(6,1),(7,1),(10,1),(16,1),(17,1)}
      12:{1,2,3,5,6}:{(7,1),(8,1),(9,1),(16,1),(17,1),(18,1),(32,1),(33,1)}
      13:{1,4,5,6}:{(8,1),(17,1),(18,1),(19,1),(60,1)}
      14:{1,4,5}:{(9,1),(17,1),(21,1)}
      15:{2,3,5,6}:{(10,1),(16,1),(22,1),(32,1)}
      16:{1,2,5,6}:{(11,1),(15,1),(23,1)}
      17:{1,4,6}:{(12,1),(14,1),(25,1)}
      18:{1,2,5,6}:{(13,1),(24,1),(26,1),(56,1)}
      19:{3,4,5,6}:{(13,1),(25,1),(26,1),(55,1)}
      20:{1,2,4,5}:{(14,1),(24,1),(27,1),(44,1),(45,1),(56,1)}
      21:{3,4,5}:{(14,1),(25,1),(27,1)}
      22:{4,5,6}:{(15,1)}
      23:{1,4,5,6}:{(16,1),(17,1),(22,1),(32,1)}
      24:{1,2,4,6}:{(17,1),(18,1),(20,1),(33,1),(35,1)}
      25:{3,4,6}:{(17,1),(21,1),(32,1),(33,1)}
      26:{2,3,5,6}:{(18,1),(19,1),(33,1),(35,1),(51,1)}
      27:{2,3,5}:{(20,1),(21,1),(33,1),(37,1)}
      28:{1,3,4,5}:{(21,1),(34,1),(36,1),(60,1)}
      29:{2,4,5,6}:{(22,1),(38,1)}
      30:{3,4,5,6}:{(22,1),(32,1),(38,1),(39,1),(49,1)}
      31:{1,2,4,5,6}:{(23,1),(24,1),(29,1),(40,1),(44,1),(46,1),(54,1),(56,1)}
      32:{3,5,6}:{(23,1),(25,1)}
      33:{2,3,6}:{(24,1),(25,1),(27,1)}
      34:{1,3,4,6}:{(25,1),(28,1),(41,1),(42,1),(54,1)}
      35:{2,4,6}:{(26,1),(44,1)}
      36:{1,2,3,5}:{(27,1),(28,1),(42,1),(45,1),(56,1)}
      37:{2,3,4}:{(27,1),(45,1)}
      38:{2,3,5,6}:{(29,1),(30,1),(46,1),(47,1)}
      39:{1,4,5,6}:{(30,1),(41,1),(46,1),(54,1)}
      40:{2,3,5,6}:{(31,1),(32,1),(33,1),(49,1),(51,1)}
      41:{1,3,5,6}:{(32,1),(34,1),(39,1)}
      42:{1,2,3,6}:{(33,1),(34,1),(36,1),(50,1)}
      43:{2,3,4,6}:{(33,1),(35,1),(37,1),(49,1),(50,1),(51,1)}
      44:{2,4,5}:{(35,1),(51,1)}
      45:{1,2,4}:{(36,1),(37,1)}
      46:{1,2,5,6}:{(38,1),(39,1),(52,1)}
      47:{2,3,4,6}:{(38,1),(49,1),(52,1),(53,1)}
      48:{1,2,3,5,6}:{(40,1),(41,1),(42,1),(46,1),(54,1),(56,1),(57,1),(62,1)}
      49:{3,4,6}:{(40,1),(54,1),(55,1)}
      50:{1,2,4,6}:{(42,1),(43,1),(45,1),(54,1),(56,1)}
      51:{2,3,5}:{(43,1),(44,1),(55,1),(56,1)}
      52:{1,2,4,6}:{(46,1),(47,1),(54,1),(57,1),(58,1)}
      53:{2,3,4,5}:{(47,1),(55,1),(58,1)}
      54:{1,4,6}:{(48,1),(49,1),(60,1)}
      55:{3,4,5}:{(49,1),(51,1),(60,1)}
      56:{1,2,5}:{(50,1),(51,1),(60,1)}
      57:{1,2,3,6}:{(52,1),(59,1),(61,1)}
      58:{1,2,4,5}:{(52,1),(53,1),(60,1),(61,1)}
      59:{1,3,4,6}:{(54,1),(57,1),(62,1),(63,1)}
      60:{1,4,5}:{(54,1),(55,1),(56,1),(62,1)}
      61:{1,2,3,5}:{(57,1),(58,1),(62,1),(63,1)}
      62:{1,3,5}:{(59,1),(60,1)}
      63:{1,3,4}:{(61,1)}

492 :  0:{2,4,5,6}:{(3,1),(63,1)}
       1:{3,4,5,6}:{(3,1),(4,1),(11,1),(60,1),(63,1)}
       2:{1,2,4,5,6}:{(0,1),(5,1),(7,1),(17,1),(29,1),(31,1),(45,1),(58,1)}
       3:{2,3,5,6}:{(0,1),(1,1),(7,1),(8,1)}
       4:{1,4,5,6}:{(1,1),(6,1),(7,1),(17,1)}
       5:{2,3,5,6}:{(2,1),(11,1),(23,1),(51,1),(60,1)}
       6:{1,3,5,6}:{(4,1),(9,1),(60,1)}
       7:{1,2,5,6}:{(3,1),(4,1),(12,1)}
       8:{2,3,4,6}:{(3,1),(11,1),(12,1),(13,1)}
       9:{1,3,4,6}:{(6,1),(14,1),(15,1),(17,1),(56,1)}
      10:{1,2,3,5,6}:{(5,1),(6,1),(7,1),(15,1),(17,1),(19,1),(31,1),(33,1)}
      11:{3,4,6}:{(5,1),(17,1),(18,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(17,1),(19,1),(20,1)}
      13:{2,3,4,5}:{(8,1),(18,1),(20,1)}
      14:{1,3,4,5}:{(9,1),(21,1),(25,1),(50,1)}
      15:{1,2,3,6}:{(9,1),(21,1),(22,1),(51,1)}
      16:{2,3,4,6}:{(11,1),(22,1),(23,1),(36,1),(38,1),(51,1)}
      17:{1,4,6}:{(10,1),(11,1),(25,1)}
      18:{3,4,5}:{(11,1),(23,1),(25,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(25,1),(27,1)}
      21:{1,2,3,5}:{(14,1),(15,1),(28,1),(31,1),(44,1)}
      22:{1,2,4,6}:{(15,1),(16,1),(17,1),(28,1),(31,1)}
      23:{2,3,5}:{(16,1),(18,1),(29,1),(31,1)}
      24:{1,3,4,6}:{(17,1),(19,1),(33,1),(35,1)}
      25:{1,4,5}:{(17,1),(18,1),(31,1),(33,1)}
      26:{3,4,5,6}:{(18,1),(32,1),(34,1),(56,1)}
      27:{1,2,3,5}:{(19,1),(20,1),(33,1),(35,1)}
      28:{1,2,4}:{(21,1),(36,1)}
      29:{2,4,5}:{(23,1),(38,1)}
      30:{1,2,3,4,6}:{(22,1),(24,1),(36,1),(39,1),(43,1),(51,1),(53,1),(54,1)}
      31:{1,2,5}:{(22,1),(23,1),(25,1)}
      32:{2,3,5,6}:{(23,1),(26,1),(38,1),(40,1),(51,1)}
      33:{1,3,5}:{(24,1),(25,1)}
      34:{1,4,5,6}:{(25,1),(26,1),(40,1),(42,1),(53,1)}
      35:{1,3,4}:{(27,1)}
      36:{2,3,4}:{(28,1),(44,1)}
      37:{1,2,4,5}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
      38:{2,4,6}:{(29,1),(32,1)}
      39:{1,2,3,5}:{(30,1),(31,1),(33,1),(44,1),(46,1)}
      40:{1,2,5,6}:{(31,1),(32,1),(34,1),(45,1)}
      41:{1,3,4,5}:{(33,1),(35,1),(46,1),(48,1),(49,1)}
      42:{1,3,5,6}:{(33,1),(34,1),(49,1)}
      43:{1,2,3,4}:{(35,1),(48,1)}
      44:{2,3,5}:{(36,1),(37,1),(50,1),(51,1)}
      45:{1,2,4,6}:{(37,1),(38,1),(40,1),(51,1),(53,1)}
      46:{1,4,5}:{(39,1),(50,1),(53,1)}
      47:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(51,1),(53,1),(54,1),(60,1),(61,1)}
      48:{1,2,3,5}:{(41,1),(43,1),(52,1),(54,1)}
      49:{1,3,4,6}:{(41,1),(42,1),(53,1),(54,1)}
      50:{3,4,5}:{(44,1),(46,1),(56,1)}
      51:{2,3,6}:{(44,1),(45,1),(56,1)}
      52:{1,2,4,5}:{(46,1),(48,1),(55,1),(57,1)}
      53:{1,4,6}:{(46,1),(47,1),(56,1)}
      54:{1,2,3,6}:{(48,1),(49,1),(57,1)}
      55:{2,3,4,5}:{(50,1),(52,1),(59,1)}
      56:{3,4,6}:{(50,1),(51,1),(53,1),(60,1)}
      57:{1,2,4,6}:{(52,1),(53,1),(54,1),(59,1),(61,1)}
      58:{1,4,5,6}:{(53,1),(60,1),(61,1),(63,1)}
      59:{2,3,4,6}:{(55,1),(56,1),(57,1),(62,1)}
      60:{3,5,6}:{(56,1),(58,1)}
      61:{1,2,5,6}:{(57,1),(58,1),(62,1)}
      62:{2,3,5,6}:{(59,1),(60,1),(61,1),(63,1)}
      63:{4,5,6}:{(62,1)}

493 :  0:{1,2,4,5,6}:{(1,1),(6,1),(25,1),(27,1),(42,1),(45,1),(55,1),(56,1)}
       1:{2,3,5,6}:{(0,1),(4,1),(16,1),(52,1),(59,1)}
       2:{1,2,3,4,6}:{(5,1),(19,1),(23,1),(39,1),(40,1),(43,1),(46,1),(57,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(23,1),(24,1),(25,1)}
       4:{3,4,6}:{(1,1),(6,1),(8,1),(55,1)}
       5:{1,2,3,5}:{(2,1),(9,1),(28,1),(50,1),(59,1)}
       6:{1,4,6}:{(3,1),(4,1),(14,1)}
       7:{2,3,4,6}:{(4,1),(13,1),(16,1),(38,1),(52,1),(53,1)}
       8:{3,4,5}:{(4,1),(14,1),(16,1),(53,1),(58,1),(59,1)}
       9:{1,4,5}:{(5,1),(17,1),(19,1),(46,1)}
      10:{1,2,3,5,6}:{(5,1),(19,1),(40,1),(41,1),(42,1)}
      11:{1,3,4,5}:{(17,1),(20,1),(21,1),(24,1),(46,1),(56,1)}
      12:{1,3,4,6}:{(6,1),(23,1),(24,1),(46,1),(57,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(23,1),(25,1),(46,1)}
      14:{1,4,5}:{(6,1),(8,1),(24,1),(25,1),(46,1)}
      15:{3,4,5,6}:{(8,1),(22,1),(26,1),(41,1),(55,1),(57,1)}
      16:{2,3,5}:{(7,1),(8,1),(25,1),(27,1)}
      17:{3,4,5}:{(9,1),(28,1),(29,1),(53,1),(58,1),(59,1)}
      18:{1,2,4,5}:{(9,1),(28,1),(30,1),(32,1),(50,1),(58,1)}
      19:{1,4,6}:{(9,1),(10,1),(29,1)}
      20:{1,2,3,5}:{(11,1),(28,1),(32,1),(33,1),(50,1)}
      21:{1,3,4,6}:{(11,1),(29,1),(33,1),(34,1),(51,1)}
      22:{1,4,5,6}:{(14,1),(15,1),(34,1),(35,1),(51,1)}
      23:{1,2,3,6}:{(12,1),(13,1),(36,1),(52,1)}
      24:{1,3,5}:{(12,1),(14,1),(59,1)}
      25:{1,2,5}:{(13,1),(14,1),(16,1)}
      26:{2,3,5,6}:{(15,1),(16,1),(35,1),(38,1),(52,1)}
      27:{2,4,5}:{(16,1),(38,1),(58,1)}
      28:{2,3,5}:{(17,1),(18,1),(39,1),(40,1)}
      29:{3,4,6}:{(17,1),(19,1),(40,1),(41,1),(55,1)}
      30:{1,2,4,6}:{(18,1),(19,1),(40,1),(42,1),(55,1)}
      31:{1,4,5,6}:{(19,1),(41,1),(42,1),(55,1),(56,1)}
      32:{1,2,4}:{(20,1),(39,1),(46,1)}
      33:{1,2,3,6}:{(20,1),(21,1),(40,1),(43,1)}
      34:{1,3,5,6}:{(21,1),(22,1),(24,1),(41,1)}
      35:{1,2,5,6}:{(22,1),(25,1),(26,1),(45,1)}
      36:{1,2,3,5}:{(23,1),(24,1),(25,1),(46,1),(47,1)}
      37:{1,2,4,5}:{(25,1),(27,1),(45,1),(46,1),(47,1),(56,1)}
      38:{2,4,6}:{(26,1),(27,1),(55,1)}
      39:{2,3,4}:{(28,1),(32,1),(53,1)}
      40:{2,3,6}:{(28,1),(29,1),(30,1)}
      41:{3,5,6}:{(29,1),(31,1),(59,1)}
      42:{1,2,5,6}:{(30,1),(31,1),(49,1),(50,1)}
      43:{1,2,4,6}:{(32,1),(33,1),(48,1),(50,1),(51,1)}
      44:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(36,1),(49,1),(50,1),(51,1),(52,1),(59,1)}
      45:{1,2,4,6}:{(35,1),(37,1),(38,1),(51,1),(52,1)}
      46:{1,4}:{(36,1),(53,1)}
      47:{2,3,5}:{(37,1),(52,1),(53,1),(59,1)}
      48:{2,3,4,6}:{(39,1),(40,1),(43,1),(54,1),(55,1),(57,1)}
      49:{2,3,5,6}:{(40,1),(41,1),(42,1),(54,1),(55,1)}
      50:{1,2,5}:{(43,1),(54,1),(56,1)}
      51:{1,4,6}:{(44,1),(46,1),(55,1),(56,1),(57,1)}
      52:{2,3,6}:{(45,1),(47,1),(57,1)}
      53:{3,4}:{(46,1),(47,1)}
      54:{2,3,5}:{(48,1),(50,1),(58,1),(59,1)}
      55:{4,6}:{(49,1),(58,1)}
      56:{1,4,5}:{(50,1),(51,1),(58,1),(59,1)}
      57:{3,4,6}:{(51,1),(52,1),(53,1),(59,1)}
      58:{4,5}:{(54,1),(55,1)}
      59:{3,5}:{(56,1),(57,1)}

494 :  0:{1,3,4,5,6}:{(1,1),(9,1),(17,1),(27,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(17,1)}
       3:{2,3,4,6}:{(2,1),(6,1),(14,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(11,1)}
       5:{1,2,3,4,6}:{(3,1),(8,1),(17,1),(25,1),(26,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,4,5,6}:{(4,1),(10,1),(17,1),(28,1),(29,1)}
       8:{1,2,3,5}:{(5,1),(6,1),(11,1)}
       9:{3,4,5}:{(6,1),(11,1),(14,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(14,1)}
      11:{1,4,5}:{(8,1),(9,1),(17,1)}
      12:{1,2,3,5,6}:{(8,1),(10,1),(17,1),(26,1),(27,1),(28,1)}
      13:{2,3,4,5}:{(9,1),(16,1),(18,1),(42,1)}
      14:{3,4,6}:{(9,1),(10,1),(17,1)}
      15:{1,3,4,5}:{(11,1),(20,1),(21,1),(38,1)}
      16:{1,2,4,5}:{(11,1),(13,1),(20,1),(22,1),(38,1)}
      17:{1,4,6}:{(11,1),(12,1),(14,1)}
      18:{2,3,4,6}:{(13,1),(14,1),(22,1),(24,1),(40,1)}
      19:{3,4,5,6}:{(14,1),(23,1),(24,1),(40,1)}
      20:{1,2,3,5}:{(15,1),(16,1),(25,1),(26,1)}
      21:{1,3,4,6}:{(15,1),(17,1),(26,1),(27,1),(36,1)}
      22:{1,2,4,6}:{(16,1),(17,1),(18,1),(26,1),(28,1),(36,1)}
      23:{1,4,5,6}:{(17,1),(19,1),(27,1),(28,1),(36,1)}
      24:{2,3,5,6}:{(18,1),(19,1),(28,1),(29,1)}
      25:{1,2,3,4}:{(20,1)}
      26:{1,2,3,6}:{(20,1),(21,1),(22,1)}
      27:{1,3,5,6}:{(21,1),(23,1)}
      28:{1,2,5,6}:{(22,1),(23,1),(24,1)}
      29:{2,4,5,6}:{(24,1)}
      30:{1,2,3,4,6}:{(25,1),(26,1),(34,1),(36,1),(43,1)}
      31:{1,3,4,5,6}:{(27,1),(35,1),(36,1),(42,1)}
      32:{1,2,3,5,6}:{(26,1),(27,1),(28,1),(34,1),(36,1),(37,1)}
      33:{1,2,4,5,6}:{(28,1),(29,1),(36,1),(37,1),(41,1)}
      34:{1,2,3,5}:{(30,1),(38,1),(44,1)}
      35:{1,2,3,5,6}:{(31,1),(39,1),(44,1)}
      36:{1,4,6}:{(32,1),(38,1),(40,1)}
      37:{2,3,5,6}:{(33,1),(40,1),(44,1)}
      38:{1,4,5}:{(34,1),(36,1),(42,1)}
      39:{1,2,4,6}:{(35,1),(36,1),(41,1),(43,1)}
      40:{3,4,6}:{(36,1),(37,1),(42,1)}
      41:{1,2,4,5}:{(38,1),(39,1),(44,1)}
      42:{3,4,5}:{(38,1),(40,1),(44,1)}
      43:{2,3,4,6}:{(39,1),(40,1),(44,1)}
      44:{2,3,5}:{(41,1),(42,1),(43,1)}

495 :  0:{1,2,4,5,6}:{(1,1),(5,1),(13,1),(15,1),(29,1),(49,1),(52,1),(58,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(38,1),(54,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(15,1),(17,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(58,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(21,1),(37,1),(38,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(37,1),(54,1),(59,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(14,1),(15,1),(30,1)}
       8:{2,3,5}:{(4,1),(6,1),(13,1),(15,1)}
       9:{1,3,4,6}:{(5,1),(14,1),(17,1),(30,1),(47,1)}
      10:{1,4,5}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{3,4,5,6}:{(6,1),(16,1),(18,1),(47,1),(51,1),(58,1)}
      12:{1,2,3,4,6}:{(14,1),(19,1),(30,1),(36,1),(46,1),(47,1),(48,1),(50,1)}
      13:{2,4,5}:{(8,1),(21,1),(59,1)}
      14:{1,2,3,6}:{(7,1),(9,1),(22,1),(38,1)}
      15:{1,2,5}:{(7,1),(8,1),(10,1)}
      16:{2,3,5,6}:{(8,1),(11,1),(21,1),(23,1),(38,1)}
      17:{1,3,5}:{(9,1),(10,1),(54,1)}
      18:{1,4,5,6}:{(10,1),(11,1),(23,1),(25,1),(40,1)}
      19:{1,2,3,5}:{(12,1),(26,1),(42,1),(54,1),(55,1)}
      20:{1,2,4,5}:{(13,1),(15,1),(28,1),(29,1),(30,1),(49,1)}
      21:{2,4,6}:{(13,1),(16,1),(58,1)}
      22:{1,2,3,5}:{(14,1),(15,1),(17,1),(28,1),(30,1)}
      23:{1,2,5,6}:{(15,1),(16,1),(18,1),(29,1)}
      24:{1,3,4,5}:{(17,1),(30,1),(32,1),(33,1),(34,1),(49,1)}
      25:{1,3,5,6}:{(17,1),(18,1),(33,1),(51,1)}
      26:{1,4,5}:{(19,1),(30,1),(34,1),(36,1)}
      27:{1,2,3,5,6}:{(19,1),(36,1),(50,1),(51,1),(52,1)}
      28:{2,3,5}:{(20,1),(37,1),(38,1),(54,1)}
      29:{1,2,4,6}:{(20,1),(21,1),(23,1),(38,1),(40,1)}
      30:{1,4}:{(22,1),(37,1)}
      31:{1,2,3,5,6}:{(22,1),(23,1),(25,1),(38,1),(40,1),(41,1),(54,1),(55,1),(56,1)}
      32:{1,2,3,5}:{(24,1),(39,1),(41,1),(42,1),(55,1)}
      33:{1,3,4,6}:{(24,1),(25,1),(40,1),(41,1),(43,1)}
      34:{3,4,5}:{(26,1),(37,1),(42,1),(43,1),(54,1),(59,1)}
      35:{1,2,4,5}:{(26,1),(39,1),(42,1),(44,1),(55,1),(59,1)}
      36:{1,4,6}:{(26,1),(27,1),(43,1)}
      37:{3,4}:{(28,1),(30,1)}
      38:{2,3,6}:{(28,1),(29,1),(47,1)}
      39:{1,2,4}:{(30,1),(32,1),(46,1)}
      40:{1,4,6}:{(30,1),(31,1),(47,1),(49,1),(58,1)}
      41:{1,2,3,6}:{(32,1),(33,1),(48,1),(50,1)}
      42:{2,3,5}:{(34,1),(35,1),(46,1),(50,1)}
      43:{3,4,6}:{(34,1),(36,1),(50,1),(51,1),(58,1)}
      44:{1,2,4,6}:{(35,1),(36,1),(50,1),(52,1),(58,1)}
      45:{1,4,5,6}:{(36,1),(49,1),(51,1),(52,1),(58,1)}
      46:{2,3,4}:{(37,1),(39,1),(42,1)}
      47:{3,4,6}:{(37,1),(38,1),(40,1),(54,1)}
      48:{1,2,4,6}:{(39,1),(40,1),(41,1),(53,1),(55,1)}
      49:{1,4,5}:{(40,1),(54,1),(55,1),(59,1)}
      50:{2,3,6}:{(42,1),(43,1),(44,1)}
      51:{3,5,6}:{(43,1),(45,1),(54,1)}
      52:{1,2,5,6}:{(44,1),(45,1),(55,1),(56,1)}
      53:{2,3,4,6}:{(46,1),(47,1),(48,1),(50,1),(57,1),(58,1)}
      54:{3,5}:{(47,1),(49,1)}
      55:{1,2,5}:{(48,1),(49,1),(57,1)}
      56:{2,3,5,6}:{(50,1),(51,1),(52,1),(57,1),(58,1)}
      57:{2,3,5}:{(53,1),(54,1),(55,1),(59,1)}
      58:{4,6}:{(56,1),(59,1)}
      59:{4,5}:{(57,1),(58,1)}

496 :  0:{2,3,4,5}:{(1,1),(2,1),(27,1)}
       1:{1,2,4,5}:{(0,1),(5,1),(6,1),(33,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(6,1),(18,1)}
       3:{2,4,5,6}:{(4,1),(54,1)}
       4:{2,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1),(11,1),(24,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(22,1)}
       7:{1,2,4,5,6}:{(3,1),(9,1),(12,1),(22,1),(43,1),(47,1),(57,1),(58,1)}
       8:{3,4,5,6}:{(4,1),(13,1),(18,1),(54,1),(62,1)}
       9:{1,2,5,6}:{(4,1),(6,1),(13,1)}
      10:{1,3,4}:{(5,1)}
      11:{1,2,3,6}:{(5,1),(6,1),(17,1)}
      12:{2,3,5,6}:{(7,1),(18,1),(37,1),(62,1),(63,1)}
      13:{1,4,5,6}:{(8,1),(9,1),(19,1),(22,1)}
      14:{1,3,4,5}:{(10,1),(20,1),(21,1),(24,1),(44,1)}
      15:{1,2,3,5,6}:{(9,1),(11,1),(12,1),(19,1),(22,1),(24,1),(38,1),(43,1)}
      16:{1,2,3,4}:{(10,1),(20,1)}
      17:{1,3,4,6}:{(10,1),(11,1),(22,1),(24,1)}
      18:{3,4,6}:{(12,1),(22,1),(27,1)}
      19:{1,3,5,6}:{(13,1),(28,1),(62,1)}
      20:{1,2,3,5}:{(14,1),(16,1),(29,1),(30,1)}
      21:{1,3,4,6}:{(14,1),(30,1),(31,1),(51,1)}
      22:{1,4,6}:{(15,1),(18,1),(33,1)}
      23:{1,2,3,4,6}:{(16,1),(17,1),(30,1),(32,1),(34,1),(51,1),(61,1),(63,1)}
      24:{1,3,5}:{(17,1),(33,1)}
      25:{2,3,4,5}:{(29,1),(35,1),(53,1)}
      26:{2,3,4,6}:{(18,1),(32,1),(37,1),(55,1),(61,1),(63,1)}
      27:{3,4,5}:{(18,1),(33,1),(37,1)}
      28:{1,3,4,6}:{(19,1),(22,1),(38,1),(39,1),(59,1)}
      29:{1,2,4,5}:{(20,1),(25,1),(40,1),(44,1)}
      30:{1,2,3,6}:{(20,1),(21,1),(40,1)}
      31:{1,3,5,6}:{(21,1),(24,1),(41,1)}
      32:{1,2,4,6}:{(22,1),(26,1),(38,1),(43,1),(56,1)}
      33:{1,4,5}:{(22,1),(24,1),(27,1),(43,1)}
      34:{1,2,3,5}:{(23,1),(24,1),(43,1),(44,1),(60,1)}
      35:{2,3,4,6}:{(25,1),(40,1),(45,1),(59,1)}
      36:{3,4,5,6}:{(27,1),(41,1),(46,1),(59,1)}
      37:{2,3,5}:{(26,1),(27,1),(43,1),(47,1)}
      38:{1,2,3,6}:{(28,1),(32,1),(48,1),(63,1)}
      39:{1,3,4,5}:{(28,1),(33,1),(48,1),(53,1)}
      40:{1,2,4,6}:{(29,1),(30,1),(35,1),(49,1),(51,1)}
      41:{1,4,5,6}:{(31,1),(33,1),(36,1),(50,1),(51,1)}
      42:{1,2,3,5,6}:{(30,1),(31,1),(34,1),(49,1),(50,1),(51,1),(62,1),(63,1)}
      43:{1,2,5}:{(32,1),(33,1),(37,1)}
      44:{1,4,5}:{(34,1),(51,1),(53,1)}
      45:{2,3,5,6}:{(35,1),(49,1),(54,1),(62,1)}
      46:{2,3,5,6}:{(36,1),(37,1),(50,1),(55,1),(63,1)}
      47:{2,4,5}:{(37,1),(55,1)}
      48:{1,2,3,5}:{(38,1),(39,1),(43,1),(56,1),(60,1)}
      49:{1,2,5,6}:{(40,1),(45,1),(57,1)}
      50:{1,2,5,6}:{(41,1),(43,1),(46,1),(58,1)}
      51:{1,4,6}:{(42,1),(44,1),(59,1)}
      52:{1,2,4,5}:{(43,1),(44,1),(47,1),(56,1),(58,1),(60,1)}
      53:{3,4,5}:{(44,1),(59,1),(60,1)}
      54:{4,5,6}:{(45,1)}
      55:{2,4,6}:{(46,1),(47,1)}
      56:{1,2,4}:{(48,1),(61,1)}
      57:{1,4,5,6}:{(49,1),(51,1),(54,1),(62,1)}
      58:{1,2,4,6}:{(50,1),(51,1),(52,1),(55,1),(63,1)}
      59:{3,4,6}:{(51,1),(53,1),(62,1),(63,1)}
      60:{2,3,5}:{(52,1),(53,1),(61,1),(63,1)}
      61:{2,3,4}:{(56,1),(60,1)}
      62:{3,5,6}:{(57,1),(59,1)}
      63:{2,3,6}:{(58,1),(59,1),(60,1)}

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

498 :  0:{2,3,4,5}:{(2,1),(3,1),(36,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(27,1),(62,1),(63,1)}
       2:{1,2,4,5}:{(0,1),(4,1),(6,1),(27,1)}
       3:{2,3,4,6}:{(0,1),(6,1),(7,1),(30,1)}
       4:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(10,1),(22,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(9,1),(11,1),(22,1)}
       7:{2,3,5,6}:{(3,1),(11,1),(12,1),(24,1)}
       8:{1,2,3,4}:{(4,1),(63,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(6,1)}
      10:{1,3,5,6}:{(5,1),(14,1),(62,1)}
      11:{1,2,5,6}:{(6,1),(7,1),(16,1)}
      12:{4,5,6}:{(7,1)}
      13:{1,2,3,4,6}:{(8,1),(9,1),(19,1),(22,1),(38,1),(53,1),(56,1),(57,1)}
      14:{1,4,5,6}:{(10,1),(20,1),(21,1),(22,1),(58,1)}
      15:{1,2,3,5,6}:{(9,1),(10,1),(11,1),(19,1),(21,1),(22,1),(24,1),(38,1)}
      16:{1,4,5,6}:{(11,1),(12,1),(22,1),(24,1)}
      17:{2,4,5,6}:{(12,1),(25,1)}
      18:{3,4,5,6}:{(12,1),(24,1),(25,1),(26,1),(40,1)}
      19:{1,2,3,5}:{(13,1),(27,1),(44,1),(61,1),(62,1)}
      20:{3,4,5,6}:{(14,1),(28,1),(30,1),(49,1)}
      21:{1,2,5,6}:{(14,1),(28,1),(29,1),(61,1)}
      22:{1,4,6}:{(15,1),(27,1),(30,1)}
      23:{1,2,4,5,6}:{(16,1),(17,1),(29,1),(31,1),(34,1),(46,1),(50,1),(61,1)}
      24:{3,5,6}:{(16,1),(30,1)}
      25:{2,3,5,6}:{(17,1),(18,1),(33,1),(34,1)}
      26:{1,4,5,6}:{(18,1),(32,1),(34,1),(50,1)}
      27:{1,4,5}:{(19,1),(22,1),(36,1)}
      28:{2,3,5,6}:{(20,1),(21,1),(37,1),(38,1),(55,1)}
      29:{1,2,4,6}:{(21,1),(22,1),(35,1),(37,1),(38,1)}
      30:{3,4,6}:{(22,1),(24,1),(36,1),(38,1)}
      31:{2,3,5,6}:{(23,1),(24,1),(38,1),(40,1),(55,1)}
      32:{1,3,5,6}:{(24,1),(26,1),(39,1)}
      33:{2,3,4,6}:{(25,1),(40,1),(42,1),(43,1)}
      34:{1,2,5,6}:{(25,1),(26,1),(43,1)}
      35:{1,2,4,5}:{(27,1),(29,1),(44,1),(46,1),(60,1),(61,1)}
      36:{3,4,5}:{(27,1),(30,1),(44,1)}
      37:{2,4,6}:{(28,1),(46,1)}
      38:{2,3,6}:{(29,1),(30,1),(44,1)}
      39:{1,3,4,6}:{(30,1),(32,1),(45,1),(48,1),(50,1)}
      40:{3,4,6}:{(31,1),(49,1),(50,1)}
      41:{1,2,3,5,6}:{(31,1),(32,1),(34,1),(48,1),(50,1),(51,1),(61,1),(62,1)}
      42:{2,3,4,5}:{(33,1),(49,1),(52,1)}
      43:{1,2,4,6}:{(33,1),(34,1),(50,1),(51,1),(52,1)}
      44:{2,3,5}:{(35,1),(36,1),(38,1),(53,1)}
      45:{1,3,4,5}:{(36,1),(39,1),(54,1),(58,1)}
      46:{2,4,5}:{(37,1),(55,1)}
      47:{2,3,4,6}:{(37,1),(38,1),(40,1),(53,1),(55,1),(56,1)}
      48:{1,2,3,6}:{(38,1),(39,1),(54,1),(56,1)}
      49:{3,4,5}:{(40,1),(55,1),(58,1)}
      50:{1,4,6}:{(40,1),(41,1),(58,1)}
      51:{1,2,3,6}:{(43,1),(57,1),(59,1)}
      52:{1,2,4,5}:{(42,1),(43,1),(58,1),(59,1)}
      53:{2,3,4}:{(44,1),(60,1)}
      54:{1,2,3,5}:{(44,1),(45,1),(48,1),(60,1),(61,1)}
      55:{2,3,5}:{(46,1),(47,1),(49,1),(61,1)}
      56:{1,2,4,6}:{(47,1),(48,1),(50,1),(60,1),(61,1)}
      57:{1,3,4,6}:{(50,1),(51,1),(62,1),(63,1)}
      58:{1,4,5}:{(49,1),(50,1),(61,1),(62,1)}
      59:{1,2,3,5}:{(51,1),(52,1),(62,1),(63,1)}
      60:{1,2,4}:{(53,1),(54,1)}
      61:{1,2,5}:{(55,1),(56,1),(58,1)}
      62:{1,3,5}:{(57,1),(58,1)}
      63:{1,3,4}:{(59,1)}

499 :  0:{1,2,4,5,6}:{(2,1),(8,1),(29,1),(31,1),(35,1),(47,1),(51,1),(57,1)}
       1:{1,2,3,4,6}:{(3,1),(13,1),(27,1),(32,1),(33,1),(45,1),(48,1),(58,1)}
       2:{2,3,5,6}:{(0,1),(5,1),(19,1),(54,1),(59,1)}
       3:{1,2,3,5}:{(1,1),(6,1),(20,1),(52,1),(59,1)}
       4:{1,2,3,5,6}:{(2,1),(8,1),(27,1),(28,1),(29,1)}
       5:{3,4,6}:{(2,1),(8,1),(10,1),(51,1)}
       6:{1,4,5}:{(3,1),(11,1),(13,1),(48,1)}
       7:{1,2,3,5,6}:{(3,1),(13,1),(33,1),(34,1),(35,1)}
       8:{1,4,6}:{(4,1),(5,1),(17,1)}
       9:{2,3,4,6}:{(5,1),(16,1),(19,1),(42,1),(54,1),(55,1)}
      10:{3,4,5}:{(5,1),(17,1),(19,1),(55,1),(56,1),(59,1)}
      11:{3,4,5}:{(6,1),(20,1),(21,1),(55,1),(56,1),(59,1)}
      12:{1,2,4,5}:{(6,1),(20,1),(22,1),(36,1),(52,1),(56,1)}
      13:{1,4,6}:{(6,1),(7,1),(21,1)}
      14:{1,3,4,5}:{(11,1),(24,1),(25,1),(28,1),(48,1),(57,1)}
      15:{1,3,4,6}:{(8,1),(27,1),(28,1),(48,1),(58,1)}
      16:{1,2,4,6}:{(8,1),(9,1),(27,1),(29,1),(48,1)}
      17:{1,4,5}:{(8,1),(10,1),(28,1),(29,1),(48,1)}
      18:{3,4,5,6}:{(10,1),(26,1),(30,1),(34,1),(51,1),(58,1)}
      19:{2,3,5}:{(9,1),(10,1),(29,1),(31,1)}
      20:{2,3,5}:{(11,1),(12,1),(32,1),(33,1)}
      21:{3,4,6}:{(11,1),(13,1),(33,1),(34,1),(51,1)}
      22:{1,2,4,6}:{(12,1),(13,1),(33,1),(35,1),(51,1)}
      23:{1,4,5,6}:{(13,1),(34,1),(35,1),(51,1),(57,1)}
      24:{1,2,3,5}:{(14,1),(20,1),(36,1),(37,1),(52,1)}
      25:{1,3,4,6}:{(14,1),(21,1),(37,1),(38,1),(53,1)}
      26:{1,4,5,6}:{(17,1),(18,1),(38,1),(39,1),(53,1)}
      27:{1,2,3,6}:{(15,1),(16,1),(40,1),(54,1)}
      28:{1,3,5}:{(15,1),(17,1),(59,1)}
      29:{1,2,5}:{(16,1),(17,1),(19,1)}
      30:{2,3,5,6}:{(18,1),(19,1),(39,1),(42,1),(54,1)}
      31:{2,4,5}:{(19,1),(42,1),(56,1)}
      32:{2,3,4}:{(20,1),(36,1),(55,1)}
      33:{2,3,6}:{(20,1),(21,1),(22,1)}
      34:{3,5,6}:{(21,1),(23,1),(59,1)}
      35:{1,2,5,6}:{(22,1),(23,1),(44,1),(52,1)}
      36:{1,2,4}:{(24,1),(32,1),(48,1)}
      37:{1,2,3,6}:{(24,1),(25,1),(33,1),(45,1)}
      38:{1,3,5,6}:{(25,1),(26,1),(28,1),(34,1)}
      39:{1,2,5,6}:{(26,1),(29,1),(30,1),(47,1)}
      40:{1,2,3,5}:{(27,1),(28,1),(29,1),(48,1),(49,1)}
      41:{1,2,4,5}:{(29,1),(31,1),(47,1),(48,1),(49,1),(57,1)}
      42:{2,4,6}:{(30,1),(31,1),(51,1)}
      43:{2,3,4,6}:{(32,1),(33,1),(45,1),(50,1),(51,1),(58,1)}
      44:{2,3,5,6}:{(33,1),(34,1),(35,1),(50,1),(51,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(43,1),(52,1),(53,1)}
      46:{1,2,3,5,6}:{(37,1),(38,1),(39,1),(40,1),(44,1),(52,1),(53,1),(54,1),(59,1)}
      47:{1,2,4,6}:{(39,1),(41,1),(42,1),(53,1),(54,1)}
      48:{1,4}:{(40,1),(55,1)}
      49:{2,3,5}:{(41,1),(54,1),(55,1),(59,1)}
      50:{2,3,5}:{(43,1),(52,1),(56,1),(59,1)}
      51:{4,6}:{(44,1),(56,1)}
      52:{1,2,5}:{(45,1),(50,1),(57,1)}
      53:{1,4,6}:{(46,1),(48,1),(51,1),(57,1),(58,1)}
      54:{2,3,6}:{(47,1),(49,1),(58,1)}
      55:{3,4}:{(48,1),(49,1)}
      56:{4,5}:{(50,1),(51,1)}
      57:{1,4,5}:{(52,1),(53,1),(56,1),(59,1)}
      58:{3,4,6}:{(53,1),(54,1),(55,1),(59,1)}
      59:{3,5}:{(57,1),(58,1)}

500 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

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

502 :  0:{2,3,4,5}:{(1,1),(2,1),(37,1)}
       1:{1,2,4,5}:{(0,1),(5,1),(6,1),(32,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(6,1),(27,1)}
       3:{3,4,5,6}:{(4,1),(7,1),(27,1),(60,1),(62,1)}
       4:{2,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1),(11,1),(24,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(22,1)}
       7:{1,4,5,6}:{(3,1),(9,1),(12,1),(22,1)}
       8:{2,4,5,6}:{(4,1),(60,1)}
       9:{1,2,5,6}:{(4,1),(6,1),(7,1)}
      10:{1,3,4}:{(5,1)}
      11:{1,2,3,6}:{(5,1),(6,1),(17,1)}
      12:{1,3,5,6}:{(7,1),(18,1),(62,1)}
      13:{1,2,4,5,6}:{(8,1),(9,1),(19,1),(22,1),(41,1),(55,1),(56,1),(57,1)}
      14:{1,3,4,5}:{(10,1),(20,1),(21,1),(24,1),(42,1)}
      15:{1,2,3,5,6}:{(9,1),(11,1),(12,1),(19,1),(22,1),(24,1),(25,1),(41,1)}
      16:{1,2,3,4}:{(10,1),(20,1)}
      17:{1,3,4,6}:{(10,1),(11,1),(22,1),(24,1)}
      18:{1,3,4,6}:{(12,1),(22,1),(25,1),(26,1),(58,1)}
      19:{2,3,5,6}:{(13,1),(27,1),(46,1),(62,1),(63,1)}
      20:{1,2,3,5}:{(14,1),(16,1),(28,1),(29,1)}
      21:{1,3,4,6}:{(14,1),(29,1),(30,1),(49,1)}
      22:{1,4,6}:{(15,1),(27,1),(32,1)}
      23:{1,2,3,4,6}:{(16,1),(17,1),(29,1),(31,1),(33,1),(49,1),(52,1),(63,1)}
      24:{1,3,5}:{(17,1),(32,1)}
      25:{1,2,3,6}:{(18,1),(31,1),(34,1),(63,1)}
      26:{1,3,4,5}:{(18,1),(32,1),(34,1),(51,1)}
      27:{3,4,6}:{(19,1),(22,1),(37,1)}
      28:{1,2,4,5}:{(20,1),(35,1),(38,1),(42,1)}
      29:{1,2,3,6}:{(20,1),(21,1),(38,1)}
      30:{1,3,5,6}:{(21,1),(24,1),(39,1)}
      31:{1,2,4,6}:{(22,1),(25,1),(36,1),(41,1),(43,1)}
      32:{1,4,5}:{(22,1),(24,1),(37,1),(41,1)}
      33:{1,2,3,5}:{(23,1),(24,1),(41,1),(42,1),(59,1)}
      34:{1,2,3,5}:{(25,1),(26,1),(41,1),(43,1),(59,1)}
      35:{2,3,4,5}:{(28,1),(44,1),(51,1)}
      36:{2,3,4,6}:{(27,1),(31,1),(46,1),(52,1),(61,1),(63,1)}
      37:{3,4,5}:{(27,1),(32,1),(46,1)}
      38:{1,2,4,6}:{(28,1),(29,1),(44,1),(47,1),(49,1)}
      39:{1,4,5,6}:{(30,1),(32,1),(45,1),(48,1),(49,1)}
      40:{1,2,3,5,6}:{(29,1),(30,1),(33,1),(47,1),(48,1),(49,1),(62,1),(63,1)}
      41:{1,2,5}:{(31,1),(32,1),(46,1)}
      42:{1,4,5}:{(33,1),(49,1),(51,1)}
      43:{1,2,4}:{(34,1),(52,1)}
      44:{2,3,4,6}:{(35,1),(38,1),(53,1),(58,1)}
      45:{3,4,5,6}:{(37,1),(39,1),(54,1),(58,1)}
      46:{2,3,5}:{(36,1),(37,1),(41,1),(55,1)}
      47:{1,2,5,6}:{(38,1),(53,1),(56,1)}
      48:{1,2,5,6}:{(39,1),(41,1),(54,1),(57,1)}
      49:{1,4,6}:{(40,1),(42,1),(58,1)}
      50:{1,2,4,5}:{(41,1),(42,1),(43,1),(55,1),(57,1),(59,1)}
      51:{3,4,5}:{(42,1),(58,1),(59,1)}
      52:{2,3,4}:{(43,1),(59,1)}
      53:{2,3,5,6}:{(44,1),(47,1),(60,1),(62,1)}
      54:{2,3,5,6}:{(45,1),(46,1),(48,1),(61,1),(63,1)}
      55:{2,4,5}:{(46,1),(61,1)}
      56:{1,4,5,6}:{(47,1),(49,1),(60,1),(62,1)}
      57:{1,2,4,6}:{(48,1),(49,1),(50,1),(61,1),(63,1)}
      58:{3,4,6}:{(49,1),(51,1),(62,1),(63,1)}
      59:{2,3,5}:{(50,1),(51,1),(52,1),(63,1)}
      60:{4,5,6}:{(53,1)}
      61:{2,4,6}:{(54,1),(55,1)}
      62:{3,5,6}:{(56,1),(58,1)}
      63:{2,3,6}:{(57,1),(58,1),(59,1)}

503 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

504 :  0:{1,2,3,4,6}:{(1,1),(6,1),(14,1),(15,1),(25,1),(41,1),(55,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(8,1),(32,1),(47,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(15,1),(16,1),(17,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(35,1),(47,1),(57,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(18,1),(32,1),(35,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(39,1),(54,1),(59,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,4,5,6}:{(6,1),(16,1),(17,1),(30,1),(39,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(18,1),(19,1),(32,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(19,1),(20,1),(34,1)}
      14:{2,3,4}:{(8,1),(18,1),(57,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(47,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(32,1)}
      18:{1,2,4}:{(12,1),(14,1),(59,1)}
      19:{1,2,3,6}:{(12,1),(13,1),(15,1),(25,1)}
      20:{1,3,5,6}:{(13,1),(16,1),(26,1),(54,1)}
      21:{2,3,4,6}:{(14,1),(15,1),(25,1),(28,1),(30,1),(41,1)}
      22:{3,4,5,6}:{(16,1),(26,1),(29,1),(30,1),(41,1),(43,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(28,1),(30,1)}
      24:{1,2,4,5,6}:{(17,1),(30,1),(31,1),(39,1),(40,1),(42,1),(45,1),(56,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(32,1),(34,1)}
      26:{1,4,5,6}:{(20,1),(22,1),(33,1),(34,1),(51,1)}
      27:{1,2,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(33,1),(34,1),(47,1),(48,1),(58,1)}
      28:{2,3,5}:{(21,1),(32,1),(35,1),(47,1)}
      29:{2,3,5,6}:{(22,1),(33,1),(36,1),(48,1),(50,1)}
      30:{4,6}:{(23,1),(35,1)}
      31:{2,3,5,6}:{(24,1),(37,1),(47,1),(48,1),(50,1)}
      32:{1,2,5}:{(25,1),(28,1),(39,1)}
      33:{1,2,5,6}:{(26,1),(29,1),(40,1),(56,1)}
      34:{1,4,6}:{(27,1),(30,1),(39,1),(41,1),(59,1)}
      35:{4,5}:{(28,1),(30,1)}
      36:{2,4,6}:{(29,1),(30,1),(42,1)}
      37:{3,4,6}:{(30,1),(31,1),(43,1),(45,1)}
      38:{1,2,3,5,6}:{(31,1),(45,1),(54,1),(55,1),(56,1)}
      39:{1,4,5}:{(32,1),(34,1),(35,1),(47,1)}
      40:{1,2,4,6}:{(33,1),(34,1),(36,1),(46,1),(48,1)}
      41:{3,4,6}:{(34,1),(47,1),(48,1),(57,1)}
      42:{2,4,5}:{(35,1),(36,1),(50,1)}
      43:{3,4,5}:{(35,1),(37,1),(47,1),(50,1),(51,1),(57,1)}
      44:{2,3,4,6}:{(36,1),(37,1),(48,1),(50,1),(52,1),(57,1)}
      45:{1,4,6}:{(37,1),(38,1),(51,1)}
      46:{1,2,4,5}:{(39,1),(40,1),(42,1),(53,1),(56,1),(59,1)}
      47:{3,5}:{(39,1),(41,1)}
      48:{2,3,6}:{(40,1),(41,1),(53,1)}
      49:{1,3,4,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,5}:{(42,1),(43,1),(44,1),(56,1)}
      51:{1,4,5}:{(43,1),(45,1),(54,1),(56,1),(59,1)}
      52:{1,2,4,6}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      53:{2,3,5}:{(46,1),(47,1),(48,1),(57,1)}
      54:{1,3,5}:{(47,1),(49,1),(51,1)}
      55:{1,2,3,6}:{(48,1),(49,1),(52,1),(58,1)}
      56:{1,2,5}:{(50,1),(51,1),(52,1)}
      57:{3,4}:{(53,1),(59,1)}
      58:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

505 :  0:{1,2,3,4,6}:{(1,1),(6,1),(16,1),(17,1),(33,1),(46,1),(52,1),(57,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(9,1),(43,1),(56,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(57,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(18,1),(19,1)}
       4:{3,4,5}:{(2,1),(9,1),(10,1),(45,1),(56,1),(59,1)}
       5:{1,2,4,5}:{(2,1),(9,1),(11,1),(23,1),(43,1),(45,1)}
       6:{1,4,6}:{(2,1),(3,1),(10,1)}
       7:{1,2,4,5,6}:{(13,1),(19,1),(28,1),(36,1),(48,1),(49,1),(50,1),(51,1)}
       8:{1,3,4,5}:{(4,1),(14,1),(15,1),(47,1),(51,1),(57,1)}
       9:{2,3,5}:{(4,1),(5,1),(16,1),(17,1)}
      10:{3,4,6}:{(4,1),(6,1),(17,1),(18,1),(36,1)}
      11:{1,2,4,6}:{(5,1),(6,1),(17,1),(19,1),(36,1)}
      12:{1,4,5,6}:{(6,1),(18,1),(19,1),(36,1),(51,1)}
      13:{2,3,5,6}:{(7,1),(21,1),(41,1),(55,1),(56,1)}
      14:{1,2,3,5}:{(8,1),(9,1),(23,1),(24,1),(43,1)}
      15:{1,3,4,6}:{(8,1),(10,1),(24,1),(25,1),(44,1)}
      16:{2,3,4}:{(9,1),(23,1),(59,1)}
      17:{2,3,6}:{(9,1),(10,1),(11,1)}
      18:{3,5,6}:{(10,1),(12,1),(56,1)}
      19:{1,2,5,6}:{(11,1),(12,1),(27,1),(43,1)}
      20:{1,2,3,5,6}:{(13,1),(28,1),(46,1),(47,1),(48,1)}
      21:{3,4,6}:{(13,1),(28,1),(31,1),(36,1)}
      22:{3,4,5,6}:{(18,1),(29,1),(31,1),(32,1),(36,1),(52,1)}
      23:{1,2,4}:{(14,1),(16,1),(57,1)}
      24:{1,2,3,6}:{(14,1),(15,1),(17,1),(33,1)}
      25:{1,3,5,6}:{(15,1),(18,1),(29,1),(47,1)}
      26:{2,3,4,6}:{(16,1),(17,1),(33,1),(35,1),(36,1),(52,1)}
      27:{2,3,5,6}:{(17,1),(18,1),(19,1),(35,1),(36,1)}
      28:{1,4,6}:{(20,1),(21,1),(39,1)}
      29:{1,4,5,6}:{(22,1),(25,1),(39,1),(40,1),(44,1)}
      30:{2,3,4,6}:{(21,1),(38,1),(41,1),(42,1),(55,1),(59,1)}
      31:{3,4,5}:{(21,1),(39,1),(41,1),(45,1),(56,1),(59,1)}
      32:{2,3,5,6}:{(22,1),(40,1),(41,1),(42,1),(55,1)}
      33:{1,2,4,6}:{(23,1),(24,1),(26,1),(43,1),(44,1)}
      34:{1,2,3,5,6}:{(24,1),(25,1),(27,1),(40,1),(43,1),(44,1),(53,1),(55,1),(56,1)}
      35:{2,3,5}:{(26,1),(43,1),(45,1),(56,1)}
      36:{4,6}:{(27,1),(45,1)}
      37:{1,3,4,6}:{(28,1),(46,1),(47,1),(52,1),(57,1)}
      38:{1,2,4,6}:{(28,1),(30,1),(46,1),(48,1),(57,1)}
      39:{1,4,5}:{(28,1),(31,1),(47,1),(48,1),(57,1)}
      40:{1,2,5,6}:{(29,1),(32,1),(48,1),(49,1)}
      41:{2,3,5}:{(30,1),(31,1),(48,1),(50,1)}
      42:{2,4,6}:{(32,1),(36,1),(50,1)}
      43:{1,2,5}:{(33,1),(35,1),(51,1)}
      44:{1,4,6}:{(34,1),(36,1),(51,1),(52,1),(57,1)}
      45:{4,5}:{(35,1),(36,1)}
      46:{1,2,3,6}:{(37,1),(38,1),(53,1),(55,1)}
      47:{1,3,5}:{(37,1),(39,1),(56,1)}
      48:{1,2,5}:{(38,1),(39,1),(41,1)}
      49:{1,2,4,6}:{(40,1),(42,1),(44,1),(54,1),(55,1)}
      50:{2,4,5}:{(41,1),(42,1),(45,1)}
      51:{1,4,5}:{(43,1),(44,1),(45,1),(56,1)}
      52:{3,4,6}:{(44,1),(55,1),(56,1),(59,1)}
      53:{1,2,3,5}:{(46,1),(47,1),(48,1),(57,1),(58,1)}
      54:{1,2,4,5}:{(48,1),(49,1),(50,1),(51,1),(57,1),(58,1)}
      55:{2,3,6}:{(49,1),(52,1),(58,1)}
      56:{3,5}:{(51,1),(52,1)}
      57:{1,4}:{(53,1),(59,1)}
      58:{2,3,5}:{(54,1),(55,1),(56,1),(59,1)}
      59:{3,4}:{(57,1),(58,1)}

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

507 :  0:{1,3,4,5}:{(2,1),(3,1),(13,1),(61,1),(63,1)}
       1:{1,2,3,4}:{(2,1),(63,1)}
       2:{1,2,3,5}:{(0,1),(1,1),(5,1),(6,1)}
       3:{1,3,4,6}:{(0,1),(6,1),(7,1),(18,1)}
       4:{1,2,3,4,6}:{(1,1),(6,1),(8,1),(18,1),(32,1),(34,1),(49,1),(57,1)}
       5:{1,2,4,5}:{(2,1),(9,1),(10,1),(13,1)}
       6:{1,2,3,6}:{(2,1),(3,1),(10,1)}
       7:{1,3,5,6}:{(3,1),(11,1),(61,1)}
       8:{1,2,3,5}:{(4,1),(13,1),(26,1),(54,1),(61,1)}
       9:{2,3,4,5}:{(5,1),(14,1),(20,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(14,1),(15,1),(18,1)}
      11:{1,4,5,6}:{(7,1),(16,1),(17,1),(18,1),(58,1)}
      12:{1,2,3,5,6}:{(6,1),(7,1),(8,1),(15,1),(17,1),(18,1),(30,1),(32,1)}
      13:{1,4,5}:{(8,1),(18,1),(20,1)}
      14:{2,3,4,6}:{(9,1),(10,1),(21,1),(25,1)}
      15:{1,2,5,6}:{(10,1),(21,1),(22,1)}
      16:{3,4,5,6}:{(11,1),(23,1),(25,1),(52,1)}
      17:{1,2,5,6}:{(11,1),(23,1),(24,1),(54,1)}
      18:{1,4,6}:{(12,1),(13,1),(25,1)}
      19:{1,2,4,5}:{(13,1),(24,1),(26,1),(40,1),(43,1),(54,1)}
      20:{3,4,5}:{(13,1),(25,1),(26,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(28,1),(30,1)}
      22:{1,4,5,6}:{(15,1),(18,1),(28,1),(30,1)}
      23:{2,3,5,6}:{(16,1),(17,1),(31,1),(32,1),(48,1)}
      24:{1,2,4,6}:{(17,1),(18,1),(19,1),(31,1),(32,1)}
      25:{3,4,6}:{(18,1),(20,1),(30,1),(32,1)}
      26:{2,3,5}:{(19,1),(20,1),(32,1),(34,1)}
      27:{1,3,4,5}:{(20,1),(33,1),(35,1),(58,1)}
      28:{4,5,6}:{(21,1)}
      29:{1,2,4,5,6}:{(22,1),(24,1),(36,1),(38,1),(40,1),(51,1),(53,1),(54,1)}
      30:{3,5,6}:{(22,1),(25,1)}
      31:{2,4,6}:{(23,1),(40,1)}
      32:{2,3,6}:{(24,1),(25,1),(26,1)}
      33:{1,3,4,6}:{(25,1),(27,1),(39,1),(42,1),(53,1)}
      34:{2,3,4}:{(26,1),(43,1)}
      35:{1,2,3,5}:{(26,1),(27,1),(42,1),(43,1),(54,1)}
      36:{2,4,5,6}:{(28,1),(44,1)}
      37:{3,4,5,6}:{(28,1),(30,1),(44,1),(45,1),(46,1)}
      38:{2,3,5,6}:{(29,1),(30,1),(32,1),(46,1),(48,1)}
      39:{1,3,5,6}:{(30,1),(33,1),(45,1)}
      40:{2,4,5}:{(31,1),(48,1)}
      41:{2,3,4,6}:{(31,1),(32,1),(34,1),(46,1),(48,1),(49,1)}
      42:{1,2,3,6}:{(32,1),(33,1),(35,1),(49,1)}
      43:{1,2,4}:{(34,1),(35,1)}
      44:{2,3,5,6}:{(36,1),(37,1),(50,1),(51,1)}
      45:{1,4,5,6}:{(37,1),(39,1),(51,1),(53,1)}
      46:{3,4,6}:{(38,1),(52,1),(53,1)}
      47:{1,2,3,5,6}:{(38,1),(39,1),(42,1),(51,1),(53,1),(54,1),(59,1),(61,1)}
      48:{2,3,5}:{(40,1),(41,1),(52,1),(54,1)}
      49:{1,2,4,6}:{(41,1),(42,1),(43,1),(53,1),(54,1)}
      50:{2,3,4,6}:{(44,1),(46,1),(55,1),(56,1)}
      51:{1,2,5,6}:{(44,1),(45,1),(56,1)}
      52:{3,4,5}:{(46,1),(48,1),(58,1)}
      53:{1,4,6}:{(46,1),(47,1),(58,1)}
      54:{1,2,5}:{(48,1),(49,1),(58,1)}
      55:{2,3,4,5}:{(50,1),(52,1),(60,1)}
      56:{1,2,4,6}:{(50,1),(51,1),(53,1),(59,1),(60,1)}
      57:{1,3,4,6}:{(53,1),(59,1),(61,1),(63,1)}
      58:{1,4,5}:{(52,1),(53,1),(54,1),(61,1)}
      59:{1,2,3,6}:{(56,1),(57,1),(62,1)}
      60:{1,2,4,5}:{(55,1),(56,1),(58,1),(62,1)}
      61:{1,3,5}:{(57,1),(58,1)}
      62:{1,2,3,5}:{(59,1),(60,1),(61,1),(63,1)}
      63:{1,3,4}:{(62,1)}

508 :  0:{3,4,5,6}:{(3,1),(4,1),(15,1),(62,1),(63,1)}
       1:{2,4,5,6}:{(3,1),(62,1)}
       2:{2,3,4,5}:{(6,1),(7,1),(22,1)}
       3:{2,3,5,6}:{(0,1),(1,1),(7,1),(8,1)}
       4:{1,4,5,6}:{(0,1),(8,1),(9,1),(18,1)}
       5:{1,2,4,5,6}:{(1,1),(8,1),(10,1),(18,1),(36,1),(39,1),(51,1),(60,1)}
       6:{1,2,4,5}:{(2,1),(11,1),(12,1),(27,1)}
       7:{2,3,4,6}:{(2,1),(3,1),(12,1),(15,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(12,1)}
       9:{1,3,5,6}:{(4,1),(14,1),(63,1)}
      10:{2,3,5,6}:{(5,1),(15,1),(30,1),(57,1),(63,1)}
      11:{1,2,3,5}:{(6,1),(16,1),(17,1),(35,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(18,1)}
      13:{1,2,3,5,6}:{(8,1),(9,1),(10,1),(17,1),(18,1),(19,1),(35,1),(36,1)}
      14:{1,3,4,6}:{(9,1),(18,1),(19,1),(20,1),(61,1)}
      15:{3,4,6}:{(10,1),(18,1),(22,1)}
      16:{1,3,4}:{(11,1)}
      17:{1,2,3,6}:{(11,1),(12,1),(25,1)}
      18:{1,4,6}:{(13,1),(15,1),(27,1)}
      19:{1,2,3,6}:{(14,1),(26,1),(28,1),(57,1)}
      20:{1,3,4,5}:{(14,1),(27,1),(28,1),(58,1)}
      21:{2,3,4,6}:{(15,1),(26,1),(30,1),(46,1),(47,1),(57,1)}
      22:{3,4,5}:{(15,1),(27,1),(30,1)}
      23:{1,3,4,5}:{(16,1),(31,1),(32,1),(35,1),(52,1)}
      24:{1,2,3,4}:{(16,1),(31,1)}
      25:{1,3,4,6}:{(16,1),(17,1),(18,1),(35,1)}
      26:{1,2,4,6}:{(18,1),(19,1),(21,1),(36,1),(37,1)}
      27:{1,4,5}:{(18,1),(22,1),(35,1),(36,1)}
      28:{1,2,3,5}:{(19,1),(20,1),(36,1),(37,1),(53,1)}
      29:{3,4,5,6}:{(22,1),(33,1),(38,1),(61,1)}
      30:{2,3,5}:{(21,1),(22,1),(36,1),(39,1)}
      31:{1,2,3,5}:{(23,1),(24,1),(40,1),(41,1)}
      32:{1,3,4,6}:{(23,1),(41,1),(42,1),(56,1)}
      33:{1,4,5,6}:{(27,1),(29,1),(42,1),(43,1),(56,1)}
      34:{1,2,3,4,6}:{(24,1),(25,1),(26,1),(41,1),(44,1),(46,1),(56,1),(57,1)}
      35:{1,3,5}:{(25,1),(27,1)}
      36:{1,2,5}:{(26,1),(27,1),(30,1)}
      37:{1,2,4}:{(28,1),(46,1)}
      38:{2,3,5,6}:{(29,1),(30,1),(43,1),(47,1),(57,1)}
      39:{2,4,5}:{(30,1),(47,1)}
      40:{1,2,4,5}:{(31,1),(48,1),(49,1),(52,1)}
      41:{1,2,3,6}:{(31,1),(32,1),(49,1)}
      42:{1,3,5,6}:{(32,1),(33,1),(35,1)}
      43:{1,2,5,6}:{(33,1),(36,1),(38,1),(51,1)}
      44:{1,2,3,5}:{(34,1),(35,1),(36,1),(52,1),(53,1)}
      45:{1,2,4,5}:{(36,1),(37,1),(39,1),(51,1),(52,1),(53,1)}
      46:{2,3,4}:{(37,1),(53,1)}
      47:{2,4,6}:{(38,1),(39,1)}
      48:{2,3,4,5}:{(40,1),(54,1),(58,1)}
      49:{1,2,4,6}:{(40,1),(41,1),(54,1),(55,1),(56,1)}
      50:{1,2,3,5,6}:{(41,1),(42,1),(43,1),(44,1),(55,1),(56,1),(57,1),(63,1)}
      51:{1,2,4,6}:{(43,1),(45,1),(47,1),(56,1),(57,1)}
      52:{1,4,5}:{(44,1),(56,1),(58,1)}
      53:{2,3,5}:{(45,1),(46,1),(57,1),(58,1)}
      54:{2,3,4,6}:{(48,1),(49,1),(59,1),(61,1)}
      55:{1,2,5,6}:{(49,1),(59,1),(60,1)}
      56:{1,4,6}:{(50,1),(52,1),(61,1)}
      57:{2,3,6}:{(51,1),(53,1),(61,1)}
      58:{3,4,5}:{(52,1),(53,1),(61,1)}
      59:{2,3,5,6}:{(54,1),(55,1),(62,1),(63,1)}
      60:{1,4,5,6}:{(55,1),(56,1),(62,1),(63,1)}
      61:{3,4,6}:{(56,1),(57,1),(58,1),(63,1)}
      62:{4,5,6}:{(59,1)}
      63:{3,5,6}:{(60,1),(61,1)}

509 :  0:{2,3,4,5}:{(1,1),(2,1),(27,1)}
       1:{1,2,4,5}:{(0,1),(6,1),(7,1),(34,1)}
       2:{2,3,4,6}:{(0,1),(5,1),(7,1),(19,1)}
       3:{2,4,5,6}:{(5,1),(61,1)}
       4:{3,4,5,6}:{(5,1),(9,1),(19,1),(61,1),(62,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(4,1),(10,1)}
       6:{1,2,3,5}:{(1,1),(11,1),(12,1),(25,1)}
       7:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(23,1)}
       8:{1,2,4,5,6}:{(3,1),(10,1),(13,1),(23,1),(43,1),(46,1),(57,1),(58,1)}
       9:{1,4,5,6}:{(4,1),(10,1),(14,1),(23,1)}
      10:{1,2,5,6}:{(5,1),(7,1),(9,1)}
      11:{1,3,4}:{(6,1)}
      12:{1,2,3,6}:{(6,1),(7,1),(18,1)}
      13:{2,3,5,6}:{(8,1),(19,1),(37,1),(62,1),(63,1)}
      14:{1,3,5,6}:{(9,1),(20,1),(62,1)}
      15:{1,3,4,5}:{(11,1),(21,1),(22,1),(25,1),(44,1)}
      16:{1,2,3,5,6}:{(10,1),(12,1),(13,1),(14,1),(23,1),(25,1),(28,1),(43,1)}
      17:{1,2,3,4}:{(11,1),(21,1)}
      18:{1,3,4,6}:{(11,1),(12,1),(23,1),(25,1)}
      19:{3,4,6}:{(13,1),(23,1),(27,1)}
      20:{1,3,4,6}:{(14,1),(23,1),(28,1),(29,1),(59,1)}
      21:{1,2,3,5}:{(15,1),(17,1),(30,1),(31,1)}
      22:{1,3,4,6}:{(15,1),(31,1),(32,1),(51,1)}
      23:{1,4,6}:{(16,1),(19,1),(34,1)}
      24:{1,2,3,4,6}:{(17,1),(18,1),(31,1),(33,1),(35,1),(51,1),(55,1),(63,1)}
      25:{1,3,5}:{(18,1),(34,1)}
      26:{2,3,4,6}:{(19,1),(33,1),(37,1),(54,1),(55,1),(63,1)}
      27:{3,4,5}:{(19,1),(34,1),(37,1)}
      28:{1,2,3,6}:{(20,1),(33,1),(38,1),(63,1)}
      29:{1,3,4,5}:{(20,1),(34,1),(38,1),(53,1)}
      30:{1,2,4,5}:{(21,1),(39,1),(40,1),(44,1)}
      31:{1,2,3,6}:{(21,1),(22,1),(40,1)}
      32:{1,3,5,6}:{(22,1),(25,1),(41,1)}
      33:{1,2,4,6}:{(23,1),(26,1),(28,1),(43,1),(47,1)}
      34:{1,4,5}:{(23,1),(25,1),(27,1),(43,1)}
      35:{1,2,3,5}:{(24,1),(25,1),(43,1),(44,1),(60,1)}
      36:{3,4,5,6}:{(27,1),(41,1),(45,1),(59,1)}
      37:{2,3,5}:{(26,1),(27,1),(43,1),(46,1)}
      38:{1,2,3,5}:{(28,1),(29,1),(43,1),(47,1),(60,1)}
      39:{2,3,4,5}:{(30,1),(48,1),(53,1)}
      40:{1,2,4,6}:{(30,1),(31,1),(48,1),(49,1),(51,1)}
      41:{1,4,5,6}:{(32,1),(34,1),(36,1),(50,1),(51,1)}
      42:{1,2,3,5,6}:{(31,1),(32,1),(35,1),(49,1),(50,1),(51,1),(62,1),(63,1)}
      43:{1,2,5}:{(33,1),(34,1),(37,1)}
      44:{1,4,5}:{(35,1),(51,1),(53,1)}
      45:{2,3,5,6}:{(36,1),(37,1),(50,1),(54,1),(63,1)}
      46:{2,4,5}:{(37,1),(54,1)}
      47:{1,2,4}:{(38,1),(55,1)}
      48:{2,3,4,6}:{(39,1),(40,1),(56,1),(59,1)}
      49:{1,2,5,6}:{(40,1),(56,1),(57,1)}
      50:{1,2,5,6}:{(41,1),(43,1),(45,1),(58,1)}
      51:{1,4,6}:{(42,1),(44,1),(59,1)}
      52:{1,2,4,5}:{(43,1),(44,1),(46,1),(47,1),(58,1),(60,1)}
      53:{3,4,5}:{(44,1),(59,1),(60,1)}
      54:{2,4,6}:{(45,1),(46,1)}
      55:{2,3,4}:{(47,1),(60,1)}
      56:{2,3,5,6}:{(48,1),(49,1),(61,1),(62,1)}
      57:{1,4,5,6}:{(49,1),(51,1),(61,1),(62,1)}
      58:{1,2,4,6}:{(50,1),(51,1),(52,1),(54,1),(63,1)}
      59:{3,4,6}:{(51,1),(53,1),(62,1),(63,1)}
      60:{2,3,5}:{(52,1),(53,1),(55,1),(63,1)}
      61:{4,5,6}:{(56,1)}
      62:{3,5,6}:{(57,1),(59,1)}
      63:{2,3,6}:{(58,1),(59,1),(60,1)}

510 :  0:{1,3,4,5}:{(1,1),(2,1),(30,1),(33,1)}
       1:{1,3,4,6}:{(0,1),(4,1),(5,1),(18,1),(47,1),(77,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(20,1),(21,1)}
       3:{3,4,5,6}:{(8,1),(9,1),(29,1),(50,1)}
       4:{1,3,5,6}:{(1,1),(9,1),(59,1),(70,1)}
       5:{1,2,3,6}:{(1,1),(2,1),(11,1),(34,1),(80,1)}
       6:{1,2,4}:{(2,1),(12,1)}
       7:{1,2,3,4}:{(12,1),(14,1)}
       8:{2,3,5,6}:{(3,1),(16,1),(17,1),(39,1),(40,1)}
       9:{1,4,5,6}:{(3,1),(4,1),(16,1),(18,1),(61,1),(69,1)}
      10:{1,2,3,5,6}:{(4,1),(5,1),(16,1),(18,1),(20,1),(40,1),(43,1),(46,1),(62,1),(65,1),(79,1)}
      11:{1,2,4,6}:{(5,1),(6,1),(18,1),(19,1),(20,1),(78,1),(79,1)}
      12:{2,3,4}:{(6,1),(21,1)}
      13:{1,2,4,5}:{(6,1),(20,1),(21,1),(22,1),(23,1),(45,1)}
      14:{1,2,3,5}:{(7,1),(21,1),(23,1),(24,1)}
      15:{2,4,5,6}:{(25,1),(28,1)}
      16:{1,2,5,6}:{(8,1),(9,1),(27,1),(52,1),(76,1)}
      17:{2,4,6}:{(8,1),(28,1)}
      18:{1,4,6}:{(10,1),(29,1),(30,1),(58,1),(71,1)}
      19:{2,3,4,6}:{(11,1),(12,1),(29,1),(31,1),(34,1),(58,1),(72,1),(75,1)}
      20:{1,2,5}:{(11,1),(30,1),(31,1)}
      21:{2,3,5}:{(12,1),(13,1),(33,1),(34,1)}
      22:{1,2,4,6}:{(13,1),(32,1),(34,1),(35,1),(58,1)}
      23:{1,4,5}:{(14,1),(33,1),(35,1)}
      24:{1,2,3,6}:{(14,1),(34,1),(35,1)}
      25:{2,3,5,6}:{(15,1),(36,1),(37,1),(39,1)}
      26:{2,3,4,6}:{(17,1),(37,1),(38,1),(39,1),(40,1),(63,1)}
      27:{1,2,4,6}:{(16,1),(17,1),(18,1),(40,1),(41,1),(68,1),(79,1)}
      28:{2,4,5}:{(17,1),(39,1)}
      29:{3,4,6}:{(18,1),(40,1),(43,1),(63,1)}
      30:{1,4,5}:{(18,1),(20,1),(43,1),(45,1)}
      31:{2,3,5}:{(19,1),(20,1),(43,1),(45,1)}
      32:{1,2,5,6}:{(20,1),(22,1),(44,1),(46,1),(48,1),(79,1)}
      33:{3,4,5}:{(21,1),(23,1),(45,1),(47,1)}
      34:{2,3,6}:{(21,1),(22,1),(47,1)}
      35:{1,4,6}:{(23,1),(24,1),(47,1),(48,1)}
      36:{1,2,5,6}:{(25,1),(49,1),(52,1)}
      37:{3,4,6}:{(25,1),(49,1),(50,1)}
      38:{1,2,4,6}:{(26,1),(49,1),(51,1),(52,1),(71,1)}
      39:{2,3,5}:{(26,1),(28,1),(50,1),(52,1)}
      40:{2,3,6}:{(27,1),(29,1),(53,1)}
      41:{1,2,4,5}:{(27,1),(28,1),(30,1),(52,1),(53,1),(57,1),(71,1),(73,1)}
      42:{1,3,4,6}:{(29,1),(51,1),(54,1),(71,1),(74,1)}
      43:{3,5}:{(29,1),(30,1)}
      44:{1,4,5,6}:{(30,1),(32,1),(56,1),(58,1),(74,1)}
      45:{4,5}:{(31,1),(58,1)}
      46:{2,3,5,6}:{(31,1),(32,1),(34,1),(56,1),(58,1),(59,1),(75,1),(76,1)}
      47:{3,4,6}:{(33,1),(34,1),(35,1),(58,1),(59,1)}
      48:{1,5,6}:{(35,1),(59,1)}
      49:{1,4,6}:{(36,1),(37,1),(60,1),(61,1)}
      50:{3,4,5}:{(37,1),(39,1),(61,1),(63,1)}
      51:{1,2,3,6}:{(38,1),(40,1),(42,1),(60,1),(62,1),(79,1)}
      52:{1,2,5}:{(38,1),(39,1),(61,1)}
      53:{2,3,5}:{(40,1),(41,1),(43,1),(63,1)}
      54:{1,3,5}:{(42,1),(43,1),(64,1)}
      55:{3,4,5}:{(43,1),(45,1),(63,1),(64,1),(66,1),(67,1)}
      56:{3,5,6}:{(43,1),(44,1),(67,1)}
      57:{2,4,5}:{(45,1),(66,1),(68,1)}
      58:{4,6}:{(45,1),(46,1)}
      59:{3,5,6}:{(47,1),(48,1),(69,1)}
      60:{1,3,6}:{(49,1),(70,1)}
      61:{1,4,5}:{(49,1),(50,1),(52,1),(70,1),(71,1)}
      62:{1,2,3,5}:{(51,1),(52,1),(53,1),(54,1),(70,1),(71,1),(73,1),(80,1)}
      63:{3,4}:{(53,1),(71,1)}
      64:{1,4,5}:{(54,1),(55,1),(71,1),(73,1),(74,1)}
      65:{1,3,5,6}:{(54,1),(56,1),(74,1)}
      66:{2,3,5}:{(55,1),(57,1),(72,1),(73,1),(75,1)}
      67:{3,4,6}:{(55,1),(56,1),(58,1),(74,1),(75,1)}
      68:{2,4,6}:{(57,1),(58,1),(75,1),(76,1)}
      69:{4,5,6}:{(58,1),(59,1),(76,1)}
      70:{1,3,5}:{(60,1),(61,1),(77,1)}
      71:{1,4}:{(62,1),(63,1)}
      72:{2,3,4}:{(63,1),(66,1),(78,1)}
      73:{1,2,5}:{(64,1),(66,1),(78,1),(79,1)}
      74:{1,4,6}:{(64,1),(65,1),(67,1),(79,1)}
      75:{2,3,6}:{(66,1),(67,1),(68,1),(79,1)}
      76:{2,5,6}:{(68,1),(69,1)}
      77:{1,3,4}:{(70,1),(71,1),(80,1)}
      78:{1,2,4}:{(71,1),(72,1),(73,1),(80,1)}
      79:{1,2,6}:{(73,1),(74,1),(75,1)}
      80:{1,2,3}:{(77,1),(78,1)}

511 :  0:{1,2,4,5,6}:{(1,1),(6,1),(25,1),(27,1),(42,1),(45,1),(55,1),(56,1)}
       1:{2,3,5,6}:{(0,1),(4,1),(16,1),(52,1),(59,1)}
       2:{1,2,3,4,6}:{(5,1),(19,1),(23,1),(39,1),(40,1),(43,1),(46,1),(57,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(23,1),(24,1),(25,1)}
       4:{3,4,6}:{(1,1),(6,1),(8,1),(55,1)}
       5:{1,2,3,5}:{(2,1),(9,1),(28,1),(50,1),(59,1)}
       6:{1,4,6}:{(3,1),(4,1),(14,1)}
       7:{2,3,4,6}:{(4,1),(13,1),(16,1),(38,1),(52,1),(53,1)}
       8:{3,4,5}:{(4,1),(14,1),(16,1),(53,1),(58,1),(59,1)}
       9:{1,4,5}:{(5,1),(17,1),(19,1),(46,1)}
      10:{1,2,3,5,6}:{(5,1),(19,1),(40,1),(41,1),(42,1)}
      11:{1,3,4,5}:{(17,1),(20,1),(21,1),(24,1),(46,1),(56,1)}
      12:{1,3,4,6}:{(6,1),(23,1),(24,1),(46,1),(57,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(23,1),(25,1),(46,1)}
      14:{1,4,5}:{(6,1),(8,1),(24,1),(25,1),(46,1)}
      15:{3,4,5,6}:{(8,1),(22,1),(26,1),(41,1),(55,1),(57,1)}
      16:{2,3,5}:{(7,1),(8,1),(25,1),(27,1)}
      17:{3,4,5}:{(9,1),(28,1),(29,1),(53,1),(58,1),(59,1)}
      18:{1,2,4,5}:{(9,1),(28,1),(30,1),(32,1),(50,1),(58,1)}
      19:{1,4,6}:{(9,1),(10,1),(29,1)}
      20:{1,2,3,5}:{(11,1),(28,1),(32,1),(33,1),(50,1)}
      21:{1,3,4,6}:{(11,1),(29,1),(33,1),(34,1),(51,1)}
      22:{1,4,5,6}:{(14,1),(15,1),(34,1),(35,1),(51,1)}
      23:{1,2,3,6}:{(12,1),(13,1),(36,1),(52,1)}
      24:{1,3,5}:{(12,1),(14,1),(59,1)}
      25:{1,2,5}:{(13,1),(14,1),(16,1)}
      26:{2,3,5,6}:{(15,1),(16,1),(35,1),(38,1),(52,1)}
      27:{2,4,5}:{(16,1),(38,1),(58,1)}
      28:{2,3,5}:{(17,1),(18,1),(39,1),(40,1)}
      29:{3,4,6}:{(17,1),(19,1),(40,1),(41,1),(55,1)}
      30:{1,2,4,6}:{(18,1),(19,1),(40,1),(42,1),(55,1)}
      31:{1,4,5,6}:{(19,1),(41,1),(42,1),(55,1),(56,1)}
      32:{1,2,4}:{(20,1),(39,1),(46,1)}
      33:{1,2,3,6}:{(20,1),(21,1),(40,1),(43,1)}
      34:{1,3,5,6}:{(21,1),(22,1),(24,1),(41,1)}
      35:{1,2,5,6}:{(22,1),(25,1),(26,1),(45,1)}
      36:{1,2,3,5}:{(23,1),(24,1),(25,1),(46,1),(47,1)}
      37:{1,2,4,5}:{(25,1),(27,1),(45,1),(46,1),(47,1),(56,1)}
      38:{2,4,6}:{(26,1),(27,1),(55,1)}
      39:{2,3,4}:{(28,1),(32,1),(53,1)}
      40:{2,3,6}:{(28,1),(29,1),(30,1)}
      41:{3,5,6}:{(29,1),(31,1),(59,1)}
      42:{1,2,5,6}:{(30,1),(31,1),(49,1),(50,1)}
      43:{1,2,4,6}:{(32,1),(33,1),(48,1),(50,1),(51,1)}
      44:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(36,1),(49,1),(50,1),(51,1),(52,1),(59,1)}
      45:{1,2,4,6}:{(35,1),(37,1),(38,1),(51,1),(52,1)}
      46:{1,4}:{(36,1),(53,1)}
      47:{2,3,5}:{(37,1),(52,1),(53,1),(59,1)}
      48:{2,3,4,6}:{(39,1),(40,1),(43,1),(54,1),(55,1),(57,1)}
      49:{2,3,5,6}:{(40,1),(41,1),(42,1),(54,1),(55,1)}
      50:{1,2,5}:{(43,1),(54,1),(56,1)}
      51:{1,4,6}:{(44,1),(46,1),(55,1),(56,1),(57,1)}
      52:{2,3,6}:{(45,1),(47,1),(57,1)}
      53:{3,4}:{(46,1),(47,1)}
      54:{2,3,5}:{(48,1),(50,1),(58,1),(59,1)}
      55:{4,6}:{(49,1),(58,1)}
      56:{1,4,5}:{(50,1),(51,1),(58,1),(59,1)}
      57:{3,4,6}:{(51,1),(52,1),(53,1),(59,1)}
      58:{4,5}:{(54,1),(55,1)}
      59:{3,5}:{(56,1),(57,1)}

512 :  0:{1,2,3,4}:{(1,1),(18,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1),(10,1)}
       2:{1,4,5}:{(1,1),(5,1),(7,1)}
       3:{1,2,3,6}:{(1,1),(7,1),(19,1)}
       4:{1,3,4,5}:{(5,1),(8,1),(9,1),(39,1)}
       5:{3,4,5}:{(2,1),(10,1),(11,1),(45,1)}
       6:{1,2,4,5}:{(2,1),(10,1),(12,1),(14,1),(30,1),(45,1)}
       7:{1,4,6}:{(2,1),(3,1),(11,1),(13,1)}
       8:{1,2,3,5}:{(4,1),(10,1),(14,1),(15,1),(30,1)}
       9:{1,3,4,6}:{(4,1),(11,1),(15,1),(16,1),(32,1),(79,1)}
      10:{2,3,5}:{(5,1),(6,1),(18,1),(19,1)}
      11:{3,4,6}:{(5,1),(7,1),(19,1),(20,1),(37,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(19,1),(21,1),(37,1)}
      13:{1,5,6}:{(7,1),(20,1)}
      14:{1,2,4}:{(8,1),(18,1)}
      15:{1,2,3,6}:{(8,1),(9,1),(19,1),(22,1),(80,1)}
      16:{1,3,5,6}:{(9,1),(20,1),(23,1),(77,1)}
      17:{3,4,5,6}:{(23,1),(25,1),(41,1),(64,1)}
      18:{2,3,4}:{(10,1),(14,1)}
      19:{2,3,6}:{(10,1),(11,1),(12,1)}
      20:{3,5,6}:{(11,1),(13,1),(27,1)}
      21:{1,2,5,6}:{(12,1),(13,1),(28,1),(29,1),(30,1),(69,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(26,1),(30,1),(32,1),(69,1),(78,1)}
      23:{1,4,5,6}:{(16,1),(17,1),(27,1),(31,1),(32,1),(72,1)}
      24:{1,2,3,5,6}:{(15,1),(16,1),(28,1),(30,1),(31,1),(32,1),(48,1),(50,1),(51,1),(69,1),(71,1)}
      25:{2,3,5,6}:{(17,1),(31,1),(33,1),(51,1),(53,1)}
      26:{2,3,4,6}:{(18,1),(19,1),(22,1),(35,1),(37,1),(41,1),(59,1),(74,1)}
      27:{4,5,6}:{(20,1),(36,1),(37,1)}
      28:{2,3,5,6}:{(19,1),(20,1),(21,1),(35,1),(36,1),(37,1),(38,1),(59,1)}
      29:{1,4,5,6}:{(21,1),(37,1),(38,1),(39,1),(60,1)}
      30:{1,2,5}:{(22,1),(35,1),(39,1)}
      31:{1,2,5,6}:{(23,1),(25,1),(36,1),(40,1),(65,1)}
      32:{1,4,6}:{(24,1),(37,1),(39,1),(41,1),(76,1)}
      33:{2,4,6}:{(25,1),(42,1)}
      34:{2,4,5,6}:{(42,1),(44,1)}
      35:{2,3,5}:{(26,1),(30,1),(45,1),(50,1)}
      36:{2,5,6}:{(27,1),(46,1)}
      37:{4,6}:{(28,1),(45,1)}
      38:{3,5,6}:{(29,1),(47,1),(50,1)}
      39:{1,4,5}:{(30,1),(32,1),(45,1),(50,1)}
      40:{1,2,4,6}:{(31,1),(32,1),(33,1),(46,1),(49,1),(51,1),(69,1)}
      41:{3,4,6}:{(32,1),(50,1),(51,1),(70,1)}
      42:{2,4,5}:{(33,1),(53,1)}
      43:{2,3,4,6}:{(33,1),(51,1),(53,1),(54,1),(55,1),(70,1)}
      44:{2,3,5,6}:{(34,1),(53,1),(55,1),(56,1)}
      45:{4,5}:{(35,1),(37,1)}
      46:{2,4,6}:{(36,1),(37,1),(57,1),(59,1)}
      47:{3,4,6}:{(37,1),(38,1),(58,1),(59,1),(60,1)}
      48:{1,3,5,6}:{(38,1),(60,1),(62,1)}
      49:{1,2,4,5}:{(39,1),(40,1),(42,1),(57,1),(61,1),(65,1),(75,1),(76,1)}
      50:{3,5}:{(39,1),(41,1)}
      51:{2,3,6}:{(40,1),(41,1),(61,1)}
      52:{1,3,4,6}:{(41,1),(60,1),(62,1),(63,1),(76,1)}
      53:{2,3,5}:{(42,1),(43,1),(64,1),(65,1)}
      54:{1,2,4,6}:{(43,1),(63,1),(65,1),(66,1),(76,1)}
      55:{3,4,6}:{(44,1),(64,1),(66,1)}
      56:{1,2,5,6}:{(44,1),(65,1),(66,1)}
      57:{2,4,5}:{(45,1),(46,1),(67,1)}
      58:{3,4,5}:{(45,1),(47,1),(50,1),(67,1),(68,1),(70,1)}
      59:{2,3,6}:{(46,1),(47,1),(67,1),(69,1)}
      60:{1,4,6}:{(47,1),(48,1),(68,1),(69,1)}
      61:{2,3,5}:{(49,1),(50,1),(51,1),(70,1)}
      62:{1,3,5}:{(50,1),(52,1),(68,1)}
      63:{1,2,3,6}:{(51,1),(52,1),(54,1),(69,1),(71,1),(73,1)}
      64:{3,4,5}:{(53,1),(55,1),(70,1),(72,1)}
      65:{1,2,5}:{(53,1),(54,1),(72,1)}
      66:{1,4,6}:{(55,1),(56,1),(72,1),(73,1)}
      67:{2,3,5}:{(57,1),(58,1),(59,1),(74,1),(75,1)}
      68:{1,4,5}:{(58,1),(60,1),(62,1),(75,1),(76,1)}
      69:{1,2,6}:{(59,1),(60,1),(75,1)}
      70:{3,4}:{(61,1),(76,1)}
      71:{1,2,3,5}:{(61,1),(62,1),(63,1),(65,1),(75,1),(76,1),(77,1),(80,1)}
      72:{1,4,5}:{(64,1),(65,1),(66,1),(76,1),(77,1)}
      73:{1,3,6}:{(66,1),(77,1)}
      74:{2,3,4}:{(67,1),(70,1),(78,1)}
      75:{1,2,5}:{(67,1),(68,1),(69,1),(78,1)}
      76:{1,4}:{(70,1),(71,1)}
      77:{1,3,5}:{(72,1),(73,1),(79,1)}
      78:{1,2,4}:{(74,1),(75,1),(76,1),(80,1)}
      79:{1,3,4}:{(76,1),(77,1),(80,1)}
      80:{1,2,3}:{(78,1),(79,1)}

513 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

514 :  0:{1,2,3,4}:{(3,1),(18,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(15,1),(40,1)}
       2:{3,4,5,6}:{(6,1),(7,1),(41,1),(42,1)}
       3:{1,2,3,5}:{(0,1),(8,1),(9,1),(24,1)}
       4:{1,2,3,5}:{(1,1),(10,1),(11,1),(24,1),(29,1)}
       5:{1,3,4,6}:{(1,1),(11,1),(12,1),(25,1),(30,1),(74,1)}
       6:{1,4,5,6}:{(2,1),(12,1),(13,1),(30,1),(47,1),(54,1)}
       7:{2,3,5,6}:{(2,1),(13,1),(14,1),(32,1),(34,1)}
       8:{1,4,5}:{(3,1),(15,1),(17,1)}
       9:{1,2,3,6}:{(3,1),(17,1),(36,1)}
      10:{1,2,4}:{(4,1),(18,1)}
      11:{1,2,3,6}:{(4,1),(5,1),(19,1),(36,1),(79,1)}
      12:{1,3,5,6}:{(5,1),(6,1),(37,1),(64,1)}
      13:{1,2,5,6}:{(6,1),(7,1),(21,1),(46,1),(58,1)}
      14:{2,4,6}:{(7,1),(22,1)}
      15:{3,4,5}:{(8,1),(24,1),(25,1),(50,1)}
      16:{1,2,4,5}:{(8,1),(10,1),(24,1),(26,1),(29,1),(50,1)}
      17:{1,4,6}:{(8,1),(9,1),(25,1),(27,1)}
      18:{2,3,4}:{(10,1),(24,1)}
      19:{1,2,4,6}:{(10,1),(11,1),(28,1),(29,1),(30,1),(75,1),(80,1)}
      20:{1,2,3,5,6}:{(11,1),(12,1),(13,1),(29,1),(30,1),(32,1),(48,1),(51,1),(56,1),(70,1),(80,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(30,1),(31,1),(32,1),(68,1),(80,1)}
      22:{2,4,5}:{(14,1),(34,1)}
      23:{2,3,4,6}:{(14,1),(32,1),(34,1),(35,1),(53,1),(55,1)}
      24:{2,3,5}:{(15,1),(16,1),(18,1),(36,1)}
      25:{3,4,6}:{(15,1),(17,1),(36,1),(37,1),(59,1)}
      26:{1,2,4,6}:{(16,1),(17,1),(36,1),(38,1),(59,1)}
      27:{1,5,6}:{(17,1),(37,1)}
      28:{2,3,4,6}:{(18,1),(19,1),(36,1),(39,1),(41,1),(59,1),(66,1),(76,1)}
      29:{1,2,5}:{(19,1),(39,1),(40,1)}
      30:{1,4,6}:{(20,1),(40,1),(41,1),(59,1),(67,1)}
      31:{1,2,4,5}:{(21,1),(22,1),(40,1),(43,1),(46,1),(61,1),(67,1),(78,1)}
      32:{2,3,6}:{(21,1),(41,1),(43,1)}
      33:{2,4,5,6}:{(22,1),(45,1)}
      34:{2,3,5}:{(22,1),(23,1),(42,1),(46,1)}
      35:{1,2,4,6}:{(23,1),(44,1),(46,1),(65,1),(67,1)}
      36:{2,3,6}:{(24,1),(25,1),(26,1)}
      37:{3,5,6}:{(25,1),(27,1),(47,1)}
      38:{1,2,5,6}:{(26,1),(27,1),(29,1),(48,1),(49,1),(80,1)}
      39:{2,3,5}:{(28,1),(29,1),(50,1),(51,1)}
      40:{1,4,5}:{(29,1),(30,1),(50,1),(51,1)}
      41:{3,4,6}:{(30,1),(32,1),(51,1),(55,1)}
      42:{3,4,5}:{(34,1),(53,1),(54,1),(55,1)}
      43:{2,3,5}:{(31,1),(32,1),(51,1),(55,1)}
      44:{1,2,3,6}:{(32,1),(35,1),(52,1),(56,1),(73,1),(80,1)}
      45:{2,3,5,6}:{(33,1),(34,1),(53,1),(57,1)}
      46:{1,2,5}:{(34,1),(35,1),(54,1)}
      47:{4,5,6}:{(37,1),(58,1),(59,1)}
      48:{2,3,5,6}:{(36,1),(37,1),(38,1),(39,1),(58,1),(59,1),(60,1),(76,1)}
      49:{1,4,5,6}:{(38,1),(40,1),(59,1),(60,1),(77,1)}
      50:{4,5}:{(39,1),(59,1)}
      51:{3,5}:{(40,1),(41,1)}
      52:{1,3,4,6}:{(41,1),(44,1),(63,1),(67,1),(77,1)}
      53:{3,4,6}:{(42,1),(45,1),(65,1)}
      54:{1,4,5}:{(42,1),(46,1),(64,1),(65,1),(67,1)}
      55:{3,4}:{(43,1),(67,1)}
      56:{1,2,3,5}:{(43,1),(44,1),(46,1),(63,1),(64,1),(67,1),(78,1),(79,1)}
      57:{1,2,5,6}:{(45,1),(46,1),(65,1)}
      58:{2,5,6}:{(47,1),(68,1)}
      59:{4,6}:{(48,1),(50,1)}
      60:{3,5,6}:{(49,1),(51,1),(69,1)}
      61:{2,4,5}:{(50,1),(68,1),(71,1)}
      62:{3,4,5}:{(50,1),(51,1),(55,1),(69,1),(71,1),(72,1)}
      63:{1,3,5}:{(51,1),(52,1),(72,1)}
      64:{1,3,5}:{(54,1),(73,1),(74,1)}
      65:{1,4,6}:{(53,1),(54,1),(57,1),(73,1)}
      66:{2,3,4}:{(55,1),(71,1),(75,1)}
      67:{1,4}:{(55,1),(56,1)}
      68:{2,4,6}:{(58,1),(59,1),(61,1),(76,1)}
      69:{3,4,6}:{(59,1),(60,1),(62,1),(76,1),(77,1)}
      70:{1,3,5,6}:{(60,1),(63,1),(77,1)}
      71:{2,3,5}:{(61,1),(62,1),(66,1),(76,1),(78,1)}
      72:{1,4,5}:{(62,1),(63,1),(67,1),(77,1),(78,1)}
      73:{1,3,6}:{(64,1),(65,1)}
      74:{1,3,4}:{(64,1),(67,1),(79,1)}
      75:{1,2,4}:{(66,1),(67,1),(78,1),(79,1)}
      76:{2,3,6}:{(68,1),(69,1),(71,1),(80,1)}
      77:{1,4,6}:{(69,1),(70,1),(72,1),(80,1)}
      78:{1,2,5}:{(71,1),(72,1),(75,1),(80,1)}
      79:{1,2,3}:{(74,1),(75,1)}
      80:{1,2,6}:{(76,1),(77,1),(78,1)}

515 :  0:{1,3,4,5}:{(2,1),(3,1),(38,1),(41,1)}
       1:{3,4,5,6}:{(4,1),(5,1),(36,1),(37,1)}
       2:{1,3,4,6}:{(0,1),(7,1),(8,1),(24,1),(54,1),(67,1)}
       3:{1,2,3,5}:{(0,1),(8,1),(9,1),(26,1),(27,1)}
       4:{2,3,5,6}:{(1,1),(11,1),(12,1),(32,1),(33,1)}
       5:{1,4,5,6}:{(1,1),(7,1),(11,1),(24,1),(48,1),(73,1)}
       6:{2,4,5,6}:{(13,1),(21,1)}
       7:{1,3,5,6}:{(2,1),(5,1),(58,1),(64,1)}
       8:{1,2,3,6}:{(2,1),(3,1),(15,1),(42,1),(75,1)}
       9:{1,2,4}:{(3,1),(16,1)}
      10:{1,2,3,4}:{(16,1),(18,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(20,1),(45,1),(79,1)}
      12:{2,4,6}:{(4,1),(21,1)}
      13:{2,3,5,6}:{(6,1),(22,1),(23,1),(32,1)}
      14:{1,2,3,5,6}:{(7,1),(8,1),(11,1),(24,1),(26,1),(33,1),(50,1),(53,1),(56,1),(69,1),(80,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(24,1),(25,1),(26,1),(74,1),(80,1)}
      16:{2,3,4}:{(9,1),(27,1)}
      17:{1,2,4,5}:{(9,1),(26,1),(27,1),(28,1),(29,1),(52,1)}
      18:{1,2,3,5}:{(10,1),(27,1),(29,1),(30,1)}
      19:{2,3,4,6}:{(12,1),(23,1),(31,1),(32,1),(33,1),(57,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(24,1),(33,1),(34,1),(72,1),(80,1)}
      21:{2,4,5}:{(12,1),(32,1)}
      22:{1,2,5,6}:{(13,1),(35,1),(45,1)}
      23:{3,4,6}:{(13,1),(35,1),(36,1)}
      24:{1,4,6}:{(14,1),(37,1),(38,1),(63,1),(65,1)}
      25:{2,3,4,6}:{(15,1),(16,1),(37,1),(39,1),(42,1),(63,1),(66,1),(78,1)}
      26:{1,2,5}:{(15,1),(38,1),(39,1)}
      27:{2,3,5}:{(16,1),(17,1),(41,1),(42,1)}
      28:{1,2,4,6}:{(17,1),(40,1),(42,1),(43,1),(63,1)}
      29:{1,4,5}:{(18,1),(41,1),(43,1)}
      30:{1,2,3,6}:{(18,1),(42,1),(43,1)}
      31:{1,2,4,6}:{(19,1),(35,1),(44,1),(45,1),(65,1)}
      32:{2,3,5}:{(19,1),(21,1),(36,1),(45,1)}
      33:{2,3,6}:{(20,1),(37,1),(46,1)}
      34:{1,2,4,5}:{(20,1),(21,1),(38,1),(45,1),(46,1),(62,1),(65,1),(76,1)}
      35:{1,4,6}:{(22,1),(23,1),(47,1),(48,1)}
      36:{3,4,5}:{(23,1),(32,1),(48,1),(57,1)}
      37:{3,4,6}:{(24,1),(33,1),(50,1),(57,1)}
      38:{1,4,5}:{(24,1),(26,1),(50,1),(52,1)}
      39:{2,3,5}:{(25,1),(26,1),(50,1),(52,1)}
      40:{1,2,5,6}:{(26,1),(28,1),(51,1),(53,1),(55,1),(80,1)}
      41:{3,4,5}:{(27,1),(29,1),(52,1),(54,1)}
      42:{2,3,6}:{(27,1),(28,1),(54,1)}
      43:{1,4,6}:{(29,1),(30,1),(54,1),(55,1)}
      44:{1,2,3,6}:{(31,1),(33,1),(47,1),(49,1),(56,1),(80,1)}
      45:{1,2,5}:{(31,1),(32,1),(48,1)}
      46:{2,3,5}:{(33,1),(34,1),(50,1),(57,1)}
      47:{1,3,6}:{(35,1),(58,1)}
      48:{1,4,5}:{(35,1),(36,1),(45,1),(58,1),(65,1)}
      49:{1,3,4,6}:{(37,1),(44,1),(59,1),(65,1),(77,1)}
      50:{3,5}:{(37,1),(38,1)}
      51:{1,4,5,6}:{(38,1),(40,1),(61,1),(63,1),(77,1)}
      52:{4,5}:{(39,1),(63,1)}
      53:{2,3,5,6}:{(39,1),(40,1),(42,1),(61,1),(63,1),(64,1),(78,1),(79,1)}
      54:{3,4,6}:{(41,1),(42,1),(43,1),(63,1),(64,1)}
      55:{1,5,6}:{(43,1),(64,1)}
      56:{1,2,3,5}:{(44,1),(45,1),(46,1),(58,1),(59,1),(65,1),(75,1),(76,1)}
      57:{3,4}:{(46,1),(65,1)}
      58:{1,3,5}:{(47,1),(48,1),(67,1)}
      59:{1,3,5}:{(49,1),(50,1),(68,1)}
      60:{3,4,5}:{(50,1),(52,1),(57,1),(68,1),(70,1),(71,1)}
      61:{3,5,6}:{(50,1),(51,1),(71,1)}
      62:{2,4,5}:{(52,1),(70,1),(72,1)}
      63:{4,6}:{(52,1),(53,1)}
      64:{3,5,6}:{(54,1),(55,1),(73,1)}
      65:{1,4}:{(56,1),(57,1)}
      66:{2,3,4}:{(57,1),(70,1),(74,1)}
      67:{1,3,4}:{(58,1),(65,1),(75,1)}
      68:{1,4,5}:{(59,1),(60,1),(65,1),(76,1),(77,1)}
      69:{1,3,5,6}:{(59,1),(61,1),(77,1)}
      70:{2,3,5}:{(60,1),(62,1),(66,1),(76,1),(78,1)}
      71:{3,4,6}:{(60,1),(61,1),(63,1),(77,1),(78,1)}
      72:{2,4,6}:{(62,1),(63,1),(78,1),(79,1)}
      73:{4,5,6}:{(63,1),(64,1),(79,1)}
      74:{1,2,4}:{(65,1),(66,1),(75,1),(76,1)}
      75:{1,2,3}:{(67,1),(74,1)}
      76:{1,2,5}:{(68,1),(70,1),(74,1),(80,1)}
      77:{1,4,6}:{(68,1),(69,1),(71,1),(80,1)}
      78:{2,3,6}:{(70,1),(71,1),(72,1),(80,1)}
      79:{2,5,6}:{(72,1),(73,1)}
      80:{1,2,6}:{(76,1),(77,1),(78,1)}

516 :  0:{1,2,3,4}:{(2,1),(16,1)}
       1:{1,3,4,5}:{(3,1),(4,1),(13,1),(35,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(21,1)}
       3:{1,2,3,5}:{(1,1),(8,1),(9,1),(21,1),(26,1)}
       4:{1,3,4,6}:{(1,1),(9,1),(10,1),(22,1),(27,1),(77,1)}
       5:{3,4,5,6}:{(11,1),(12,1),(36,1),(48,1)}
       6:{1,4,5}:{(2,1),(13,1),(15,1)}
       7:{1,2,3,6}:{(2,1),(15,1),(31,1)}
       8:{1,2,4}:{(3,1),(16,1)}
       9:{1,2,3,6}:{(3,1),(4,1),(17,1),(31,1),(80,1)}
      10:{1,3,5,6}:{(4,1),(11,1),(32,1),(69,1)}
      11:{1,4,5,6}:{(5,1),(10,1),(19,1),(27,1),(42,1),(60,1)}
      12:{2,3,5,6}:{(5,1),(19,1),(20,1),(38,1),(40,1)}
      13:{3,4,5}:{(6,1),(21,1),(22,1),(45,1)}
      14:{1,2,4,5}:{(6,1),(8,1),(21,1),(23,1),(26,1),(45,1)}
      15:{1,4,6}:{(6,1),(7,1),(22,1),(24,1)}
      16:{2,3,4}:{(8,1),(21,1)}
      17:{1,2,4,6}:{(8,1),(9,1),(25,1),(26,1),(27,1),(78,1),(79,1)}
      18:{1,2,3,5,6}:{(9,1),(10,1),(19,1),(26,1),(27,1),(38,1),(43,1),(46,1),(62,1),(66,1),(79,1)}
      19:{1,2,5,6}:{(11,1),(12,1),(28,1),(52,1),(53,1)}
      20:{2,4,6}:{(12,1),(29,1)}
      21:{2,3,5}:{(13,1),(14,1),(16,1),(31,1)}
      22:{3,4,6}:{(13,1),(15,1),(31,1),(32,1),(54,1)}
      23:{1,2,4,6}:{(14,1),(15,1),(31,1),(33,1),(54,1)}
      24:{1,5,6}:{(15,1),(32,1)}
      25:{2,3,4,6}:{(16,1),(17,1),(31,1),(34,1),(36,1),(54,1),(71,1),(73,1)}
      26:{1,2,5}:{(17,1),(34,1),(35,1)}
      27:{1,4,6}:{(18,1),(35,1),(36,1),(54,1),(72,1)}
      28:{1,2,4,6}:{(19,1),(20,1),(27,1),(37,1),(38,1),(64,1),(79,1)}
      29:{2,4,5}:{(20,1),(40,1)}
      30:{2,3,4,6}:{(20,1),(38,1),(40,1),(41,1),(59,1),(61,1)}
      31:{2,3,6}:{(21,1),(22,1),(23,1)}
      32:{3,5,6}:{(22,1),(24,1),(42,1)}
      33:{1,2,5,6}:{(23,1),(24,1),(26,1),(43,1),(44,1),(79,1)}
      34:{2,3,5}:{(25,1),(26,1),(45,1),(46,1)}
      35:{1,4,5}:{(26,1),(27,1),(45,1),(46,1)}
      36:{3,4,6}:{(27,1),(38,1),(46,1),(61,1)}
      37:{1,2,4,5}:{(28,1),(29,1),(35,1),(49,1),(52,1),(56,1),(72,1),(75,1)}
      38:{2,3,6}:{(28,1),(36,1),(49,1)}
      39:{2,4,5,6}:{(29,1),(51,1)}
      40:{2,3,5}:{(29,1),(30,1),(48,1),(52,1)}
      41:{1,2,4,6}:{(30,1),(50,1),(52,1),(70,1),(72,1)}
      42:{4,5,6}:{(32,1),(53,1),(54,1)}
      43:{2,3,5,6}:{(31,1),(32,1),(33,1),(34,1),(53,1),(54,1),(55,1),(73,1)}
      44:{1,4,5,6}:{(33,1),(35,1),(54,1),(55,1),(74,1)}
      45:{4,5}:{(34,1),(54,1)}
      46:{3,5}:{(35,1),(36,1)}
      47:{1,3,4,6}:{(36,1),(50,1),(58,1),(72,1),(74,1)}
      48:{3,4,5}:{(40,1),(59,1),(60,1),(61,1)}
      49:{2,3,5}:{(37,1),(38,1),(46,1),(61,1)}
      50:{1,2,3,6}:{(38,1),(41,1),(47,1),(62,1),(76,1),(79,1)}
      51:{2,3,5,6}:{(39,1),(40,1),(59,1),(63,1)}
      52:{1,2,5}:{(40,1),(41,1),(60,1)}
      53:{2,5,6}:{(42,1),(64,1)}
      54:{4,6}:{(43,1),(45,1)}
      55:{3,5,6}:{(44,1),(46,1),(65,1)}
      56:{2,4,5}:{(45,1),(64,1),(67,1)}
      57:{3,4,5}:{(45,1),(46,1),(61,1),(65,1),(67,1),(68,1)}
      58:{1,3,5}:{(46,1),(47,1),(68,1)}
      59:{3,4,6}:{(48,1),(51,1),(70,1)}
      60:{1,4,5}:{(48,1),(52,1),(69,1),(70,1),(72,1)}
      61:{3,4}:{(49,1),(72,1)}
      62:{1,2,3,5}:{(49,1),(50,1),(52,1),(58,1),(69,1),(72,1),(75,1),(80,1)}
      63:{1,2,5,6}:{(51,1),(52,1),(70,1)}
      64:{2,4,6}:{(53,1),(54,1),(56,1),(73,1)}
      65:{3,4,6}:{(54,1),(55,1),(57,1),(73,1),(74,1)}
      66:{1,3,5,6}:{(55,1),(58,1),(74,1)}
      67:{2,3,5}:{(56,1),(57,1),(71,1),(73,1),(75,1)}
      68:{1,4,5}:{(57,1),(58,1),(72,1),(74,1),(75,1)}
      69:{1,3,5}:{(60,1),(76,1),(77,1)}
      70:{1,4,6}:{(59,1),(60,1),(63,1),(76,1)}
      71:{2,3,4}:{(61,1),(67,1),(78,1)}
      72:{1,4}:{(61,1),(62,1)}
      73:{2,3,6}:{(64,1),(65,1),(67,1),(79,1)}
      74:{1,4,6}:{(65,1),(66,1),(68,1),(79,1)}
      75:{1,2,5}:{(67,1),(68,1),(78,1),(79,1)}
      76:{1,3,6}:{(69,1),(70,1)}
      77:{1,3,4}:{(69,1),(72,1),(80,1)}
      78:{1,2,4}:{(71,1),(72,1),(75,1),(80,1)}
      79:{1,2,6}:{(73,1),(74,1),(75,1)}
      80:{1,2,3}:{(77,1),(78,1)}

517 :  0:{2,4,5,6}:{(3,1),(63,1)}
       1:{3,4,5,6}:{(3,1),(4,1),(11,1),(60,1),(63,1)}
       2:{1,2,4,5,6}:{(0,1),(5,1),(7,1),(17,1),(29,1),(31,1),(45,1),(58,1)}
       3:{2,3,5,6}:{(0,1),(1,1),(7,1),(8,1)}
       4:{1,4,5,6}:{(1,1),(6,1),(7,1),(17,1)}
       5:{2,3,5,6}:{(2,1),(11,1),(23,1),(51,1),(60,1)}
       6:{1,3,5,6}:{(4,1),(9,1),(60,1)}
       7:{1,2,5,6}:{(3,1),(4,1),(12,1)}
       8:{2,3,4,6}:{(3,1),(11,1),(12,1),(13,1)}
       9:{1,3,4,6}:{(6,1),(14,1),(15,1),(17,1),(56,1)}
      10:{1,2,3,5,6}:{(5,1),(6,1),(7,1),(15,1),(17,1),(19,1),(31,1),(33,1)}
      11:{3,4,6}:{(5,1),(17,1),(18,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(17,1),(19,1),(20,1)}
      13:{2,3,4,5}:{(8,1),(18,1),(20,1)}
      14:{1,3,4,5}:{(9,1),(21,1),(25,1),(50,1)}
      15:{1,2,3,6}:{(9,1),(21,1),(22,1),(51,1)}
      16:{2,3,4,6}:{(11,1),(22,1),(23,1),(36,1),(38,1),(51,1)}
      17:{1,4,6}:{(10,1),(11,1),(25,1)}
      18:{3,4,5}:{(11,1),(23,1),(25,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(25,1),(27,1)}
      21:{1,2,3,5}:{(14,1),(15,1),(28,1),(31,1),(44,1)}
      22:{1,2,4,6}:{(15,1),(16,1),(17,1),(28,1),(31,1)}
      23:{2,3,5}:{(16,1),(18,1),(29,1),(31,1)}
      24:{1,3,4,6}:{(17,1),(19,1),(33,1),(35,1)}
      25:{1,4,5}:{(17,1),(18,1),(31,1),(33,1)}
      26:{3,4,5,6}:{(18,1),(32,1),(34,1),(56,1)}
      27:{1,2,3,5}:{(19,1),(20,1),(33,1),(35,1)}
      28:{1,2,4}:{(21,1),(36,1)}
      29:{2,4,5}:{(23,1),(38,1)}
      30:{1,2,3,4,6}:{(22,1),(24,1),(36,1),(39,1),(43,1),(51,1),(53,1),(54,1)}
      31:{1,2,5}:{(22,1),(23,1),(25,1)}
      32:{2,3,5,6}:{(23,1),(26,1),(38,1),(40,1),(51,1)}
      33:{1,3,5}:{(24,1),(25,1)}
      34:{1,4,5,6}:{(25,1),(26,1),(40,1),(42,1),(53,1)}
      35:{1,3,4}:{(27,1)}
      36:{2,3,4}:{(28,1),(44,1)}
      37:{1,2,4,5}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
      38:{2,4,6}:{(29,1),(32,1)}
      39:{1,2,3,5}:{(30,1),(31,1),(33,1),(44,1),(46,1)}
      40:{1,2,5,6}:{(31,1),(32,1),(34,1),(45,1)}
      41:{1,3,4,5}:{(33,1),(35,1),(46,1),(48,1),(49,1)}
      42:{1,3,5,6}:{(33,1),(34,1),(49,1)}
      43:{1,2,3,4}:{(35,1),(48,1)}
      44:{2,3,5}:{(36,1),(37,1),(50,1),(51,1)}
      45:{1,2,4,6}:{(37,1),(38,1),(40,1),(51,1),(53,1)}
      46:{1,4,5}:{(39,1),(50,1),(53,1)}
      47:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(51,1),(53,1),(54,1),(60,1),(61,1)}
      48:{1,2,3,5}:{(41,1),(43,1),(52,1),(54,1)}
      49:{1,3,4,6}:{(41,1),(42,1),(53,1),(54,1)}
      50:{3,4,5}:{(44,1),(46,1),(56,1)}
      51:{2,3,6}:{(44,1),(45,1),(56,1)}
      52:{1,2,4,5}:{(46,1),(48,1),(55,1),(57,1)}
      53:{1,4,6}:{(46,1),(47,1),(56,1)}
      54:{1,2,3,6}:{(48,1),(49,1),(57,1)}
      55:{2,3,4,5}:{(50,1),(52,1),(59,1)}
      56:{3,4,6}:{(50,1),(51,1),(53,1),(60,1)}
      57:{1,2,4,6}:{(52,1),(53,1),(54,1),(59,1),(61,1)}
      58:{1,4,5,6}:{(53,1),(60,1),(61,1),(63,1)}
      59:{2,3,4,6}:{(55,1),(56,1),(57,1),(62,1)}
      60:{3,5,6}:{(56,1),(58,1)}
      61:{1,2,5,6}:{(57,1),(58,1),(62,1)}
      62:{2,3,5,6}:{(59,1),(60,1),(61,1),(63,1)}
      63:{4,5,6}:{(62,1)}

518 :  0:{2,3,4,5}:{(2,1),(4,1),(27,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(18,1),(62,1),(63,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(7,1),(18,1)}
       3:{1,2,3,4}:{(5,1),(63,1)}
       4:{2,3,4,6}:{(0,1),(7,1),(9,1),(32,1)}
       5:{1,2,3,5}:{(1,1),(2,1),(3,1),(10,1)}
       6:{1,3,4,6}:{(1,1),(10,1),(11,1),(23,1)}
       7:{1,2,4,6}:{(2,1),(4,1),(10,1),(12,1),(23,1)}
       8:{1,2,3,4,6}:{(3,1),(10,1),(13,1),(23,1),(40,1),(44,1),(57,1),(58,1)}
       9:{2,3,5,6}:{(4,1),(12,1),(14,1),(25,1)}
      10:{1,2,3,6}:{(5,1),(6,1),(7,1)}
      11:{1,3,5,6}:{(6,1),(15,1),(62,1)}
      12:{1,2,5,6}:{(7,1),(9,1),(17,1)}
      13:{1,2,3,5}:{(8,1),(18,1),(35,1),(61,1),(62,1)}
      14:{4,5,6}:{(9,1)}
      15:{1,4,5,6}:{(11,1),(21,1),(22,1),(23,1),(59,1)}
      16:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(13,1),(22,1),(23,1),(25,1),(40,1)}
      17:{1,4,5,6}:{(12,1),(14,1),(23,1),(25,1)}
      18:{1,4,5}:{(13,1),(23,1),(27,1)}
      19:{2,4,5,6}:{(14,1),(28,1)}
      20:{3,4,5,6}:{(14,1),(25,1),(28,1),(29,1),(42,1)}
      21:{3,4,5,6}:{(15,1),(30,1),(32,1),(51,1)}
      22:{1,2,5,6}:{(15,1),(30,1),(31,1),(61,1)}
      23:{1,4,6}:{(16,1),(18,1),(32,1)}
      24:{1,2,4,5,6}:{(17,1),(19,1),(31,1),(33,1),(38,1),(48,1),(52,1),(61,1)}
      25:{3,5,6}:{(17,1),(32,1)}
      26:{1,2,4,5}:{(18,1),(31,1),(35,1),(48,1),(53,1),(61,1)}
      27:{3,4,5}:{(18,1),(32,1),(35,1)}
      28:{2,3,5,6}:{(19,1),(20,1),(37,1),(38,1)}
      29:{1,4,5,6}:{(20,1),(34,1),(38,1),(52,1)}
      30:{2,3,5,6}:{(21,1),(22,1),(39,1),(40,1),(56,1)}
      31:{1,2,4,6}:{(22,1),(23,1),(26,1),(39,1),(40,1)}
      32:{3,4,6}:{(23,1),(25,1),(27,1),(40,1)}
      33:{2,3,5,6}:{(24,1),(25,1),(40,1),(42,1),(56,1)}
      34:{1,3,5,6}:{(25,1),(29,1),(41,1)}
      35:{2,3,5}:{(26,1),(27,1),(40,1),(44,1)}
      36:{1,3,4,5}:{(27,1),(41,1),(45,1),(59,1)}
      37:{2,3,4,6}:{(28,1),(42,1),(46,1),(47,1)}
      38:{1,2,5,6}:{(28,1),(29,1),(47,1)}
      39:{2,4,6}:{(30,1),(48,1)}
      40:{2,3,6}:{(31,1),(32,1),(35,1)}
      41:{1,3,4,6}:{(32,1),(34,1),(36,1),(50,1),(52,1)}
      42:{3,4,6}:{(33,1),(51,1),(52,1)}
      43:{1,2,3,5,6}:{(33,1),(34,1),(38,1),(50,1),(52,1),(54,1),(61,1),(62,1)}
      44:{2,3,4}:{(35,1),(53,1)}
      45:{1,2,3,5}:{(35,1),(36,1),(50,1),(53,1),(61,1)}
      46:{2,3,4,5}:{(37,1),(51,1),(55,1)}
      47:{1,2,4,6}:{(37,1),(38,1),(52,1),(54,1),(55,1)}
      48:{2,4,5}:{(39,1),(56,1)}
      49:{2,3,4,6}:{(39,1),(40,1),(42,1),(44,1),(56,1),(57,1)}
      50:{1,2,3,6}:{(40,1),(41,1),(45,1),(57,1)}
      51:{3,4,5}:{(42,1),(56,1),(59,1)}
      52:{1,4,6}:{(42,1),(43,1),(59,1)}
      53:{1,2,4}:{(44,1),(45,1)}
      54:{1,2,3,6}:{(47,1),(58,1),(60,1)}
      55:{1,2,4,5}:{(46,1),(47,1),(59,1),(60,1)}
      56:{2,3,5}:{(48,1),(49,1),(51,1),(61,1)}
      57:{1,2,4,6}:{(49,1),(50,1),(52,1),(53,1),(61,1)}
      58:{1,3,4,6}:{(52,1),(54,1),(62,1),(63,1)}
      59:{1,4,5}:{(51,1),(52,1),(61,1),(62,1)}
      60:{1,2,3,5}:{(54,1),(55,1),(62,1),(63,1)}
      61:{1,2,5}:{(56,1),(57,1),(59,1)}
      62:{1,3,5}:{(58,1),(59,1)}
      63:{1,3,4}:{(60,1)}

519 :  0:{1,2,4,5,6}:{(2,1),(8,1),(29,1),(31,1),(35,1),(47,1),(51,1),(57,1)}
       1:{1,2,3,4,6}:{(3,1),(13,1),(27,1),(32,1),(33,1),(45,1),(48,1),(58,1)}
       2:{2,3,5,6}:{(0,1),(5,1),(19,1),(54,1),(59,1)}
       3:{1,2,3,5}:{(1,1),(6,1),(20,1),(52,1),(59,1)}
       4:{1,2,3,5,6}:{(2,1),(8,1),(27,1),(28,1),(29,1)}
       5:{3,4,6}:{(2,1),(8,1),(10,1),(51,1)}
       6:{1,4,5}:{(3,1),(11,1),(13,1),(48,1)}
       7:{1,2,3,5,6}:{(3,1),(13,1),(33,1),(34,1),(35,1)}
       8:{1,4,6}:{(4,1),(5,1),(17,1)}
       9:{2,3,4,6}:{(5,1),(16,1),(19,1),(42,1),(54,1),(55,1)}
      10:{3,4,5}:{(5,1),(17,1),(19,1),(55,1),(56,1),(59,1)}
      11:{3,4,5}:{(6,1),(20,1),(21,1),(55,1),(56,1),(59,1)}
      12:{1,2,4,5}:{(6,1),(20,1),(22,1),(36,1),(52,1),(56,1)}
      13:{1,4,6}:{(6,1),(7,1),(21,1)}
      14:{1,3,4,5}:{(11,1),(24,1),(25,1),(28,1),(48,1),(57,1)}
      15:{1,3,4,6}:{(8,1),(27,1),(28,1),(48,1),(58,1)}
      16:{1,2,4,6}:{(8,1),(9,1),(27,1),(29,1),(48,1)}
      17:{1,4,5}:{(8,1),(10,1),(28,1),(29,1),(48,1)}
      18:{3,4,5,6}:{(10,1),(26,1),(30,1),(34,1),(51,1),(58,1)}
      19:{2,3,5}:{(9,1),(10,1),(29,1),(31,1)}
      20:{2,3,5}:{(11,1),(12,1),(32,1),(33,1)}
      21:{3,4,6}:{(11,1),(13,1),(33,1),(34,1),(51,1)}
      22:{1,2,4,6}:{(12,1),(13,1),(33,1),(35,1),(51,1)}
      23:{1,4,5,6}:{(13,1),(34,1),(35,1),(51,1),(57,1)}
      24:{1,2,3,5}:{(14,1),(20,1),(36,1),(37,1),(52,1)}
      25:{1,3,4,6}:{(14,1),(21,1),(37,1),(38,1),(53,1)}
      26:{1,4,5,6}:{(17,1),(18,1),(38,1),(39,1),(53,1)}
      27:{1,2,3,6}:{(15,1),(16,1),(40,1),(54,1)}
      28:{1,3,5}:{(15,1),(17,1),(59,1)}
      29:{1,2,5}:{(16,1),(17,1),(19,1)}
      30:{2,3,5,6}:{(18,1),(19,1),(39,1),(42,1),(54,1)}
      31:{2,4,5}:{(19,1),(42,1),(56,1)}
      32:{2,3,4}:{(20,1),(36,1),(55,1)}
      33:{2,3,6}:{(20,1),(21,1),(22,1)}
      34:{3,5,6}:{(21,1),(23,1),(59,1)}
      35:{1,2,5,6}:{(22,1),(23,1),(44,1),(52,1)}
      36:{1,2,4}:{(24,1),(32,1),(48,1)}
      37:{1,2,3,6}:{(24,1),(25,1),(33,1),(45,1)}
      38:{1,3,5,6}:{(25,1),(26,1),(28,1),(34,1)}
      39:{1,2,5,6}:{(26,1),(29,1),(30,1),(47,1)}
      40:{1,2,3,5}:{(27,1),(28,1),(29,1),(48,1),(49,1)}
      41:{1,2,4,5}:{(29,1),(31,1),(47,1),(48,1),(49,1),(57,1)}
      42:{2,4,6}:{(30,1),(31,1),(51,1)}
      43:{2,3,4,6}:{(32,1),(33,1),(45,1),(50,1),(51,1),(58,1)}
      44:{2,3,5,6}:{(33,1),(34,1),(35,1),(50,1),(51,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(43,1),(52,1),(53,1)}
      46:{1,2,3,5,6}:{(37,1),(38,1),(39,1),(40,1),(44,1),(52,1),(53,1),(54,1),(59,1)}
      47:{1,2,4,6}:{(39,1),(41,1),(42,1),(53,1),(54,1)}
      48:{1,4}:{(40,1),(55,1)}
      49:{2,3,5}:{(41,1),(54,1),(55,1),(59,1)}
      50:{2,3,5}:{(43,1),(52,1),(56,1),(59,1)}
      51:{4,6}:{(44,1),(56,1)}
      52:{1,2,5}:{(45,1),(50,1),(57,1)}
      53:{1,4,6}:{(46,1),(48,1),(51,1),(57,1),(58,1)}
      54:{2,3,6}:{(47,1),(49,1),(58,1)}
      55:{3,4}:{(48,1),(49,1)}
      56:{4,5}:{(50,1),(51,1)}
      57:{1,4,5}:{(52,1),(53,1),(56,1),(59,1)}
      58:{3,4,6}:{(53,1),(54,1),(55,1),(59,1)}
      59:{3,5}:{(57,1),(58,1)}

520 :  0:{2,3,4,5}:{(2,1),(3,1),(23,1)}
       1:{1,2,3,4}:{(6,1),(48,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(16,1)}
       3:{2,3,4,6}:{(0,1),(5,1),(7,1),(35,1)}
       4:{1,2,3,4,6}:{(1,1),(9,1),(12,1),(26,1),(41,1),(45,1),(56,1),(57,1)}
       5:{2,3,5,6}:{(3,1),(8,1),(10,1),(24,1)}
       6:{1,2,3,5}:{(1,1),(2,1),(11,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(10,1),(12,1),(26,1)}
       8:{4,5,6}:{(5,1)}
       9:{1,2,3,5}:{(4,1),(16,1),(34,1),(61,1),(62,1)}
      10:{1,2,5,6}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,5}:{(6,1),(16,1),(18,1),(48,1),(61,1)}
      12:{1,2,3,6}:{(6,1),(7,1),(18,1)}
      13:{2,4,5,6}:{(8,1),(20,1)}
      14:{3,4,5,6}:{(8,1),(20,1),(22,1),(24,1),(42,1)}
      15:{1,4,5,6}:{(8,1),(10,1),(24,1),(26,1)}
      16:{1,4,5}:{(9,1),(23,1),(26,1)}
      17:{1,2,3,5,6}:{(9,1),(10,1),(12,1),(24,1),(26,1),(27,1),(45,1),(47,1)}
      18:{1,3,4,6}:{(11,1),(12,1),(26,1),(27,1)}
      19:{2,3,4,5}:{(28,1),(29,1),(53,1)}
      20:{2,3,5,6}:{(13,1),(14,1),(29,1),(30,1)}
      21:{1,2,4,5,6}:{(13,1),(15,1),(30,1),(31,1),(36,1),(51,1),(62,1),(63,1)}
      22:{1,4,5,6}:{(14,1),(30,1),(33,1),(51,1)}
      23:{3,4,5}:{(16,1),(34,1),(35,1)}
      24:{3,5,6}:{(15,1),(35,1)}
      25:{1,2,4,5}:{(16,1),(34,1),(36,1),(50,1),(62,1),(63,1)}
      26:{1,4,6}:{(16,1),(17,1),(35,1)}
      27:{1,3,5,6}:{(18,1),(37,1),(61,1)}
      28:{1,2,4,5}:{(19,1),(38,1),(39,1),(58,1)}
      29:{2,3,4,6}:{(19,1),(20,1),(39,1),(42,1)}
      30:{1,2,5,6}:{(20,1),(22,1),(39,1)}
      31:{2,3,5,6}:{(21,1),(24,1),(42,1),(45,1),(59,1)}
      32:{1,3,4,5}:{(23,1),(43,1),(44,1),(58,1)}
      33:{1,3,5,6}:{(22,1),(24,1),(44,1)}
      34:{2,3,5}:{(23,1),(25,1),(41,1),(45,1)}
      35:{3,4,6}:{(23,1),(24,1),(26,1),(45,1)}
      36:{1,2,4,6}:{(25,1),(26,1),(45,1),(47,1),(60,1)}
      37:{1,4,5,6}:{(26,1),(27,1),(46,1),(47,1),(58,1)}
      38:{1,2,3,5}:{(28,1),(48,1),(49,1),(61,1)}
      39:{1,2,4,6}:{(28,1),(29,1),(30,1),(49,1),(51,1)}
      40:{1,2,3,5,6}:{(30,1),(31,1),(33,1),(49,1),(51,1),(54,1),(61,1),(62,1)}
      41:{2,3,4}:{(34,1),(50,1)}
      42:{3,4,6}:{(31,1),(51,1),(53,1)}
      43:{1,2,3,5}:{(32,1),(34,1),(50,1),(54,1),(62,1)}
      44:{1,3,4,6}:{(32,1),(33,1),(35,1),(51,1),(54,1)}
      45:{2,3,6}:{(34,1),(35,1),(36,1)}
      46:{3,4,5,6}:{(35,1),(37,1),(53,1),(55,1)}
      47:{1,2,5,6}:{(36,1),(37,1),(55,1),(62,1)}
      48:{1,3,4}:{(38,1)}
      49:{1,2,3,6}:{(38,1),(39,1),(56,1)}
      50:{1,2,4}:{(41,1),(43,1)}
      51:{1,4,6}:{(40,1),(42,1),(58,1)}
      52:{2,3,4,6}:{(41,1),(42,1),(45,1),(57,1),(59,1),(60,1)}
      53:{3,4,5}:{(42,1),(58,1),(59,1)}
      54:{1,2,3,6}:{(43,1),(44,1),(45,1),(57,1)}
      55:{2,3,5,6}:{(45,1),(46,1),(47,1),(59,1),(60,1)}
      56:{1,3,4,6}:{(48,1),(49,1),(51,1),(61,1)}
      57:{1,2,4,6}:{(50,1),(51,1),(52,1),(54,1),(62,1)}
      58:{1,4,5}:{(51,1),(53,1),(61,1),(62,1)}
      59:{2,3,5}:{(52,1),(53,1),(62,1),(63,1)}
      60:{2,4,6}:{(55,1),(63,1)}
      61:{1,3,5}:{(56,1),(58,1)}
      62:{1,2,5}:{(57,1),(58,1),(59,1)}
      63:{2,4,5}:{(59,1),(60,1)}

521 :  0:{1,2,3,4,6}:{(1,1),(7,1),(19,1),(20,1),(39,1),(43,1),(55,1),(56,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(10,1),(48,1),(58,1)}
       2:{1,4,5}:{(1,1),(5,1),(7,1),(56,1)}
       3:{1,2,3,5,6}:{(1,1),(7,1),(20,1),(21,1),(22,1)}
       4:{1,2,4,5,6}:{(8,1),(22,1),(23,1),(42,1),(45,1),(46,1),(47,1),(54,1)}
       5:{3,4,5}:{(2,1),(10,1),(11,1),(50,1),(58,1),(59,1)}
       6:{1,2,4,5}:{(2,1),(10,1),(12,1),(28,1),(48,1),(50,1)}
       7:{1,4,6}:{(2,1),(3,1),(11,1)}
       8:{2,3,5,6}:{(4,1),(15,1),(37,1),(53,1),(58,1)}
       9:{1,3,4,5}:{(5,1),(17,1),(18,1),(44,1),(54,1),(56,1)}
      10:{2,3,5}:{(5,1),(6,1),(19,1),(20,1)}
      11:{3,4,6}:{(5,1),(7,1),(20,1),(21,1),(42,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(20,1),(22,1),(42,1)}
      13:{1,4,5,6}:{(7,1),(21,1),(22,1),(42,1),(54,1)}
      14:{1,2,3,5,6}:{(8,1),(23,1),(43,1),(44,1),(45,1)}
      15:{3,4,6}:{(8,1),(23,1),(26,1),(42,1)}
      16:{3,4,5,6}:{(21,1),(24,1),(26,1),(27,1),(42,1),(55,1)}
      17:{1,2,3,5}:{(9,1),(10,1),(28,1),(29,1),(48,1)}
      18:{1,3,4,6}:{(9,1),(11,1),(29,1),(30,1),(49,1)}
      19:{2,3,4}:{(10,1),(28,1),(59,1)}
      20:{2,3,6}:{(10,1),(11,1),(12,1)}
      21:{3,5,6}:{(11,1),(13,1),(58,1)}
      22:{1,2,5,6}:{(12,1),(13,1),(32,1),(48,1)}
      23:{1,4,6}:{(14,1),(15,1),(35,1)}
      24:{1,4,5,6}:{(16,1),(30,1),(35,1),(36,1),(49,1)}
      25:{2,3,4,6}:{(15,1),(34,1),(37,1),(38,1),(53,1),(59,1)}
      26:{3,4,5}:{(15,1),(35,1),(37,1),(50,1),(58,1),(59,1)}
      27:{2,3,5,6}:{(16,1),(36,1),(37,1),(38,1),(53,1)}
      28:{1,2,4}:{(17,1),(19,1),(56,1)}
      29:{1,2,3,6}:{(17,1),(18,1),(20,1),(39,1)}
      30:{1,3,5,6}:{(18,1),(21,1),(24,1),(44,1)}
      31:{2,3,4,6}:{(19,1),(20,1),(39,1),(41,1),(42,1),(55,1)}
      32:{2,3,5,6}:{(20,1),(21,1),(22,1),(41,1),(42,1)}
      33:{1,3,4,6}:{(23,1),(43,1),(44,1),(55,1),(56,1)}
      34:{1,2,4,6}:{(23,1),(25,1),(43,1),(45,1),(56,1)}
      35:{1,4,5}:{(23,1),(26,1),(44,1),(45,1),(56,1)}
      36:{1,2,5,6}:{(24,1),(27,1),(45,1),(46,1)}
      37:{2,3,5}:{(25,1),(26,1),(45,1),(47,1)}
      38:{2,4,6}:{(27,1),(42,1),(47,1)}
      39:{1,2,4,6}:{(28,1),(29,1),(31,1),(48,1),(49,1)}
      40:{1,2,3,5,6}:{(29,1),(30,1),(32,1),(36,1),(48,1),(49,1),(51,1),(53,1),(58,1)}
      41:{2,3,5}:{(31,1),(48,1),(50,1),(58,1)}
      42:{4,6}:{(32,1),(50,1)}
      43:{1,2,3,6}:{(33,1),(34,1),(51,1),(53,1)}
      44:{1,3,5}:{(33,1),(35,1),(58,1)}
      45:{1,2,5}:{(34,1),(35,1),(37,1)}
      46:{1,2,4,6}:{(36,1),(38,1),(49,1),(52,1),(53,1)}
      47:{2,4,5}:{(37,1),(38,1),(50,1)}
      48:{1,2,5}:{(39,1),(41,1),(54,1)}
      49:{1,4,6}:{(40,1),(42,1),(54,1),(55,1),(56,1)}
      50:{4,5}:{(41,1),(42,1)}
      51:{1,2,3,5}:{(43,1),(44,1),(45,1),(56,1),(57,1)}
      52:{1,2,4,5}:{(45,1),(46,1),(47,1),(54,1),(56,1),(57,1)}
      53:{2,3,6}:{(46,1),(55,1),(57,1)}
      54:{1,4,5}:{(48,1),(49,1),(50,1),(58,1)}
      55:{3,4,6}:{(49,1),(53,1),(58,1),(59,1)}
      56:{1,4}:{(51,1),(59,1)}
      57:{2,3,5}:{(52,1),(53,1),(58,1),(59,1)}
      58:{3,5}:{(54,1),(55,1)}
      59:{3,4}:{(56,1),(57,1)}

522 :  0:{3,4,5,6}:{(2,1),(3,1),(18,1),(34,1)}
       1:{2,4,5,6}:{(4,1),(16,1)}
       2:{2,3,5,6}:{(0,1),(7,1),(8,1),(20,1),(24,1)}
       3:{1,4,5,6}:{(0,1),(6,1),(7,1),(23,1),(28,1),(79,1)}
       4:{2,3,5,6}:{(1,1),(9,1),(10,1),(20,1)}
       5:{1,3,4,5}:{(12,1),(13,1),(35,1),(55,1)}
       6:{1,3,5,6}:{(3,1),(12,1),(38,1),(75,1)}
       7:{1,2,5,6}:{(2,1),(3,1),(15,1),(30,1),(80,1)}
       8:{2,4,6}:{(2,1),(16,1)}
       9:{1,2,5,6}:{(4,1),(17,1),(30,1)}
      10:{3,4,6}:{(4,1),(17,1),(18,1)}
      11:{2,3,4,6}:{(8,1),(10,1),(19,1),(20,1),(24,1),(47,1)}
      12:{1,3,4,6}:{(5,1),(6,1),(21,1),(23,1),(50,1),(67,1)}
      13:{1,2,3,5}:{(5,1),(21,1),(22,1),(42,1),(43,1)}
      14:{1,2,3,5,6}:{(6,1),(7,1),(21,1),(23,1),(24,1),(40,1),(42,1),(45,1),(63,1),(66,1),(77,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(23,1),(24,1),(25,1),(77,1),(78,1)}
      16:{2,4,5}:{(8,1),(20,1)}
      17:{1,4,6}:{(9,1),(10,1),(27,1),(28,1)}
      18:{3,4,5}:{(10,1),(20,1),(28,1),(47,1)}
      19:{1,2,4,6}:{(11,1),(17,1),(29,1),(30,1),(52,1)}
      20:{2,3,5}:{(11,1),(16,1),(18,1),(30,1)}
      21:{1,2,3,6}:{(12,1),(13,1),(31,1),(56,1),(61,1)}
      22:{1,2,4}:{(13,1),(32,1)}
      23:{1,4,6}:{(14,1),(34,1),(35,1),(52,1),(74,1)}
      24:{2,3,6}:{(15,1),(34,1),(36,1)}
      25:{1,2,4,5}:{(15,1),(16,1),(30,1),(35,1),(36,1),(52,1),(71,1),(73,1)}
      26:{1,2,3,4}:{(32,1),(37,1)}
      27:{1,3,6}:{(17,1),(38,1)}
      28:{1,4,5}:{(17,1),(18,1),(30,1),(38,1),(52,1)}
      29:{1,2,3,6}:{(19,1),(24,1),(27,1),(39,1),(40,1),(77,1)}
      30:{1,2,5}:{(19,1),(20,1),(28,1)}
      31:{1,2,4,6}:{(21,1),(22,1),(23,1),(41,1),(42,1),(64,1),(77,1)}
      32:{2,3,4}:{(22,1),(43,1)}
      33:{1,2,4,5}:{(22,1),(42,1),(43,1),(44,1),(48,1),(65,1)}
      34:{3,4,6}:{(23,1),(24,1),(45,1),(47,1)}
      35:{1,4,5}:{(23,1),(42,1),(45,1),(65,1)}
      36:{2,3,5}:{(24,1),(25,1),(45,1),(47,1)}
      37:{1,2,3,5}:{(26,1),(43,1),(48,1),(49,1)}
      38:{1,3,5}:{(27,1),(28,1),(50,1)}
      39:{1,3,4,6}:{(29,1),(34,1),(51,1),(52,1),(72,1)}
      40:{1,2,3,5}:{(29,1),(30,1),(36,1),(38,1),(51,1),(52,1),(61,1),(71,1)}
      41:{2,3,4,6}:{(31,1),(32,1),(34,1),(53,1),(56,1),(59,1),(74,1),(76,1)}
      42:{1,2,5}:{(31,1),(35,1),(53,1)}
      43:{2,3,5}:{(32,1),(33,1),(55,1),(56,1)}
      44:{1,2,4,6}:{(33,1),(54,1),(56,1),(60,1),(74,1)}
      45:{3,5}:{(34,1),(35,1)}
      46:{1,4,5,6}:{(35,1),(54,1),(58,1),(72,1),(74,1)}
      47:{3,4}:{(36,1),(52,1)}
      48:{1,4,5}:{(37,1),(55,1),(60,1)}
      49:{1,2,3,6}:{(37,1),(56,1),(60,1)}
      50:{1,3,4}:{(38,1),(52,1),(61,1)}
      51:{1,3,5}:{(39,1),(45,1),(62,1)}
      52:{1,4}:{(40,1),(47,1)}
      53:{2,3,5}:{(41,1),(42,1),(45,1),(65,1)}
      54:{1,2,5,6}:{(42,1),(44,1),(46,1),(66,1),(70,1),(77,1)}
      55:{3,4,5}:{(43,1),(48,1),(65,1),(67,1)}
      56:{2,3,6}:{(43,1),(44,1),(67,1)}
      57:{3,4,5}:{(45,1),(47,1),(62,1),(65,1),(68,1),(69,1)}
      58:{3,5,6}:{(45,1),(46,1),(69,1)}
      59:{2,3,4}:{(47,1),(64,1),(68,1)}
      60:{1,4,6}:{(48,1),(49,1),(67,1),(70,1)}
      61:{1,2,3}:{(50,1),(64,1)}
      62:{1,4,5}:{(51,1),(52,1),(57,1),(71,1),(72,1)}
      63:{1,3,5,6}:{(51,1),(58,1),(72,1)}
      64:{1,2,4}:{(52,1),(59,1),(61,1),(71,1)}
      65:{4,5}:{(53,1),(74,1)}
      66:{2,3,5,6}:{(53,1),(54,1),(56,1),(58,1),(74,1),(75,1),(76,1),(80,1)}
      67:{3,4,6}:{(55,1),(56,1),(60,1),(74,1),(75,1)}
      68:{2,3,5}:{(57,1),(59,1),(71,1),(73,1),(76,1)}
      69:{3,4,6}:{(57,1),(58,1),(72,1),(74,1),(76,1)}
      70:{1,5,6}:{(60,1),(75,1)}
      71:{1,2,5}:{(62,1),(64,1),(68,1),(77,1)}
      72:{1,4,6}:{(62,1),(63,1),(69,1),(77,1)}
      73:{2,4,5}:{(65,1),(68,1),(78,1)}
      74:{4,6}:{(65,1),(66,1)}
      75:{3,5,6}:{(67,1),(70,1),(79,1)}
      76:{2,3,6}:{(68,1),(69,1),(77,1),(78,1)}
      77:{1,2,6}:{(71,1),(72,1),(76,1)}
      78:{2,4,6}:{(73,1),(74,1),(76,1),(80,1)}
      79:{4,5,6}:{(74,1),(75,1),(80,1)}
      80:{2,5,6}:{(78,1),(79,1)}

523 :  0:{1,3,4,5}:{(2,1),(3,1),(14,1),(62,1),(63,1)}
       1:{1,2,3,4}:{(2,1),(63,1)}
       2:{1,2,3,5}:{(0,1),(1,1),(6,1),(7,1)}
       3:{1,3,4,6}:{(0,1),(7,1),(8,1),(19,1)}
       4:{1,2,3,4,6}:{(1,1),(7,1),(9,1),(19,1),(34,1),(36,1),(51,1),(59,1)}
       5:{2,3,4,5}:{(6,1),(10,1),(21,1)}
       6:{1,2,4,5}:{(2,1),(5,1),(11,1),(14,1)}
       7:{1,2,3,6}:{(2,1),(3,1),(11,1)}
       8:{1,3,5,6}:{(3,1),(12,1),(62,1)}
       9:{1,2,3,5}:{(4,1),(14,1),(27,1),(56,1),(62,1)}
      10:{2,3,4,6}:{(5,1),(11,1),(15,1),(26,1)}
      11:{1,2,4,6}:{(6,1),(7,1),(10,1),(16,1),(19,1)}
      12:{1,4,5,6}:{(8,1),(17,1),(18,1),(19,1),(60,1)}
      13:{1,2,3,5,6}:{(7,1),(8,1),(9,1),(16,1),(18,1),(19,1),(32,1),(34,1)}
      14:{1,4,5}:{(9,1),(19,1),(21,1)}
      15:{2,3,5,6}:{(10,1),(16,1),(22,1),(32,1)}
      16:{1,2,5,6}:{(11,1),(15,1),(23,1)}
      17:{3,4,5,6}:{(12,1),(24,1),(26,1),(54,1)}
      18:{1,2,5,6}:{(12,1),(24,1),(25,1),(56,1)}
      19:{1,4,6}:{(13,1),(14,1),(26,1)}
      20:{1,2,4,5}:{(14,1),(25,1),(27,1),(42,1),(45,1),(56,1)}
      21:{3,4,5}:{(14,1),(26,1),(27,1)}
      22:{4,5,6}:{(15,1)}
      23:{1,4,5,6}:{(16,1),(19,1),(22,1),(32,1)}
      24:{2,3,5,6}:{(17,1),(18,1),(33,1),(34,1),(50,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(20,1),(33,1),(34,1)}
      26:{3,4,6}:{(19,1),(21,1),(32,1),(34,1)}
      27:{2,3,5}:{(20,1),(21,1),(34,1),(36,1)}
      28:{1,3,4,5}:{(21,1),(35,1),(37,1),(60,1)}
      29:{2,4,5,6}:{(22,1),(38,1)}
      30:{3,4,5,6}:{(22,1),(32,1),(38,1),(39,1),(48,1)}
      31:{1,2,4,5,6}:{(23,1),(25,1),(29,1),(40,1),(42,1),(47,1),(55,1),(56,1)}
      32:{3,5,6}:{(23,1),(26,1)}
      33:{2,4,6}:{(24,1),(42,1)}
      34:{2,3,6}:{(25,1),(26,1),(27,1)}
      35:{1,3,4,6}:{(26,1),(28,1),(41,1),(44,1),(55,1)}
      36:{2,3,4}:{(27,1),(45,1)}
      37:{1,2,3,5}:{(27,1),(28,1),(44,1),(45,1),(56,1)}
      38:{2,3,5,6}:{(29,1),(30,1),(46,1),(47,1)}
      39:{1,4,5,6}:{(30,1),(41,1),(47,1),(55,1)}
      40:{2,3,5,6}:{(31,1),(32,1),(34,1),(48,1),(50,1)}
      41:{1,3,5,6}:{(32,1),(35,1),(39,1)}
      42:{2,4,5}:{(33,1),(50,1)}
      43:{2,3,4,6}:{(33,1),(34,1),(36,1),(48,1),(50,1),(51,1)}
      44:{1,2,3,6}:{(34,1),(35,1),(37,1),(51,1)}
      45:{1,2,4}:{(36,1),(37,1)}
      46:{2,3,4,6}:{(38,1),(48,1),(52,1),(53,1)}
      47:{1,2,5,6}:{(38,1),(39,1),(53,1)}
      48:{3,4,6}:{(40,1),(54,1),(55,1)}
      49:{1,2,3,5,6}:{(40,1),(41,1),(44,1),(47,1),(55,1),(56,1),(57,1),(62,1)}
      50:{2,3,5}:{(42,1),(43,1),(54,1),(56,1)}
      51:{1,2,4,6}:{(43,1),(44,1),(45,1),(55,1),(56,1)}
      52:{2,3,4,5}:{(46,1),(54,1),(58,1)}
      53:{1,2,4,6}:{(46,1),(47,1),(55,1),(57,1),(58,1)}
      54:{3,4,5}:{(48,1),(50,1),(60,1)}
      55:{1,4,6}:{(48,1),(49,1),(60,1)}
      56:{1,2,5}:{(50,1),(51,1),(60,1)}
      57:{1,2,3,6}:{(53,1),(59,1),(61,1)}
      58:{1,2,4,5}:{(52,1),(53,1),(60,1),(61,1)}
      59:{1,3,4,6}:{(55,1),(57,1),(62,1),(63,1)}
      60:{1,4,5}:{(54,1),(55,1),(56,1),(62,1)}
      61:{1,2,3,5}:{(57,1),(58,1),(62,1),(63,1)}
      62:{1,3,5}:{(59,1),(60,1)}
      63:{1,3,4}:{(61,1)}

524 :  0:{3,4,5,6}:{(3,1),(4,1),(15,1),(62,1),(63,1)}
       1:{2,4,5,6}:{(3,1),(62,1)}
       2:{2,3,4,5}:{(6,1),(7,1),(22,1)}
       3:{2,3,5,6}:{(0,1),(1,1),(7,1),(8,1)}
       4:{1,4,5,6}:{(0,1),(8,1),(9,1),(18,1)}
       5:{1,2,4,5,6}:{(1,1),(8,1),(10,1),(18,1),(36,1),(39,1),(51,1),(60,1)}
       6:{1,2,4,5}:{(2,1),(11,1),(12,1),(27,1)}
       7:{2,3,4,6}:{(2,1),(3,1),(12,1),(15,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(12,1)}
       9:{1,3,5,6}:{(4,1),(14,1),(63,1)}
      10:{2,3,5,6}:{(5,1),(15,1),(30,1),(57,1),(63,1)}
      11:{1,2,3,5}:{(6,1),(16,1),(17,1),(35,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(18,1)}
      13:{1,2,3,5,6}:{(8,1),(9,1),(10,1),(17,1),(18,1),(19,1),(35,1),(36,1)}
      14:{1,3,4,6}:{(9,1),(18,1),(19,1),(20,1),(61,1)}
      15:{3,4,6}:{(10,1),(18,1),(22,1)}
      16:{1,3,4}:{(11,1)}
      17:{1,2,3,6}:{(11,1),(12,1),(25,1)}
      18:{1,4,6}:{(13,1),(15,1),(27,1)}
      19:{1,2,3,6}:{(14,1),(26,1),(28,1),(57,1)}
      20:{1,3,4,5}:{(14,1),(27,1),(28,1),(58,1)}
      21:{2,3,4,6}:{(15,1),(26,1),(30,1),(46,1),(47,1),(57,1)}
      22:{3,4,5}:{(15,1),(27,1),(30,1)}
      23:{1,3,4,5}:{(16,1),(31,1),(32,1),(35,1),(52,1)}
      24:{1,2,3,4}:{(16,1),(31,1)}
      25:{1,3,4,6}:{(16,1),(17,1),(18,1),(35,1)}
      26:{1,2,4,6}:{(18,1),(19,1),(21,1),(36,1),(37,1)}
      27:{1,4,5}:{(18,1),(22,1),(35,1),(36,1)}
      28:{1,2,3,5}:{(19,1),(20,1),(36,1),(37,1),(53,1)}
      29:{3,4,5,6}:{(22,1),(33,1),(38,1),(61,1)}
      30:{2,3,5}:{(21,1),(22,1),(36,1),(39,1)}
      31:{1,2,3,5}:{(23,1),(24,1),(40,1),(41,1)}
      32:{1,3,4,6}:{(23,1),(41,1),(42,1),(56,1)}
      33:{1,4,5,6}:{(27,1),(29,1),(42,1),(43,1),(56,1)}
      34:{1,2,3,4,6}:{(24,1),(25,1),(26,1),(41,1),(44,1),(46,1),(56,1),(57,1)}
      35:{1,3,5}:{(25,1),(27,1)}
      36:{1,2,5}:{(26,1),(27,1),(30,1)}
      37:{1,2,4}:{(28,1),(46,1)}
      38:{2,3,5,6}:{(29,1),(30,1),(43,1),(47,1),(57,1)}
      39:{2,4,5}:{(30,1),(47,1)}
      40:{1,2,4,5}:{(31,1),(48,1),(49,1),(52,1)}
      41:{1,2,3,6}:{(31,1),(32,1),(49,1)}
      42:{1,3,5,6}:{(32,1),(33,1),(35,1)}
      43:{1,2,5,6}:{(33,1),(36,1),(38,1),(51,1)}
      44:{1,2,3,5}:{(34,1),(35,1),(36,1),(52,1),(53,1)}
      45:{1,2,4,5}:{(36,1),(37,1),(39,1),(51,1),(52,1),(53,1)}
      46:{2,3,4}:{(37,1),(53,1)}
      47:{2,4,6}:{(38,1),(39,1)}
      48:{2,3,4,5}:{(40,1),(54,1),(58,1)}
      49:{1,2,4,6}:{(40,1),(41,1),(54,1),(55,1),(56,1)}
      50:{1,2,3,5,6}:{(41,1),(42,1),(43,1),(44,1),(55,1),(56,1),(57,1),(63,1)}
      51:{1,2,4,6}:{(43,1),(45,1),(47,1),(56,1),(57,1)}
      52:{1,4,5}:{(44,1),(56,1),(58,1)}
      53:{2,3,5}:{(45,1),(46,1),(57,1),(58,1)}
      54:{2,3,4,6}:{(48,1),(49,1),(59,1),(61,1)}
      55:{1,2,5,6}:{(49,1),(59,1),(60,1)}
      56:{1,4,6}:{(50,1),(52,1),(61,1)}
      57:{2,3,6}:{(51,1),(53,1),(61,1)}
      58:{3,4,5}:{(52,1),(53,1),(61,1)}
      59:{2,3,5,6}:{(54,1),(55,1),(62,1),(63,1)}
      60:{1,4,5,6}:{(55,1),(56,1),(62,1),(63,1)}
      61:{3,4,6}:{(56,1),(57,1),(58,1),(63,1)}
      62:{4,5,6}:{(59,1)}
      63:{3,5,6}:{(60,1),(61,1)}

525 :  0:{2,3,4,5}:{(1,1),(2,1),(27,1)}
       1:{1,2,4,5}:{(0,1),(6,1),(7,1),(34,1)}
       2:{2,3,4,6}:{(0,1),(5,1),(7,1),(19,1)}
       3:{2,4,5,6}:{(5,1),(61,1)}
       4:{3,4,5,6}:{(5,1),(9,1),(19,1),(61,1),(62,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(4,1),(10,1)}
       6:{1,2,3,5}:{(1,1),(11,1),(12,1),(25,1)}
       7:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(23,1)}
       8:{1,2,4,5,6}:{(3,1),(10,1),(13,1),(23,1),(43,1),(46,1),(57,1),(58,1)}
       9:{1,4,5,6}:{(4,1),(10,1),(14,1),(23,1)}
      10:{1,2,5,6}:{(5,1),(7,1),(9,1)}
      11:{1,3,4}:{(6,1)}
      12:{1,2,3,6}:{(6,1),(7,1),(18,1)}
      13:{2,3,5,6}:{(8,1),(19,1),(37,1),(62,1),(63,1)}
      14:{1,3,5,6}:{(9,1),(20,1),(62,1)}
      15:{1,3,4,5}:{(11,1),(21,1),(22,1),(25,1),(44,1)}
      16:{1,2,3,5,6}:{(10,1),(12,1),(13,1),(14,1),(23,1),(25,1),(28,1),(43,1)}
      17:{1,2,3,4}:{(11,1),(21,1)}
      18:{1,3,4,6}:{(11,1),(12,1),(23,1),(25,1)}
      19:{3,4,6}:{(13,1),(23,1),(27,1)}
      20:{1,3,4,6}:{(14,1),(23,1),(28,1),(29,1),(59,1)}
      21:{1,2,3,5}:{(15,1),(17,1),(30,1),(31,1)}
      22:{1,3,4,6}:{(15,1),(31,1),(32,1),(51,1)}
      23:{1,4,6}:{(16,1),(19,1),(34,1)}
      24:{1,2,3,4,6}:{(17,1),(18,1),(31,1),(33,1),(35,1),(51,1),(55,1),(63,1)}
      25:{1,3,5}:{(18,1),(34,1)}
      26:{2,3,4,6}:{(19,1),(33,1),(37,1),(54,1),(55,1),(63,1)}
      27:{3,4,5}:{(19,1),(34,1),(37,1)}
      28:{1,2,3,6}:{(20,1),(33,1),(38,1),(63,1)}
      29:{1,3,4,5}:{(20,1),(34,1),(38,1),(53,1)}
      30:{1,2,4,5}:{(21,1),(39,1),(40,1),(44,1)}
      31:{1,2,3,6}:{(21,1),(22,1),(40,1)}
      32:{1,3,5,6}:{(22,1),(25,1),(41,1)}
      33:{1,2,4,6}:{(23,1),(26,1),(28,1),(43,1),(47,1)}
      34:{1,4,5}:{(23,1),(25,1),(27,1),(43,1)}
      35:{1,2,3,5}:{(24,1),(25,1),(43,1),(44,1),(60,1)}
      36:{3,4,5,6}:{(27,1),(41,1),(45,1),(59,1)}
      37:{2,3,5}:{(26,1),(27,1),(43,1),(46,1)}
      38:{1,2,3,5}:{(28,1),(29,1),(43,1),(47,1),(60,1)}
      39:{2,3,4,5}:{(30,1),(48,1),(53,1)}
      40:{1,2,4,6}:{(30,1),(31,1),(48,1),(49,1),(51,1)}
      41:{1,4,5,6}:{(32,1),(34,1),(36,1),(50,1),(51,1)}
      42:{1,2,3,5,6}:{(31,1),(32,1),(35,1),(49,1),(50,1),(51,1),(62,1),(63,1)}
      43:{1,2,5}:{(33,1),(34,1),(37,1)}
      44:{1,4,5}:{(35,1),(51,1),(53,1)}
      45:{2,3,5,6}:{(36,1),(37,1),(50,1),(54,1),(63,1)}
      46:{2,4,5}:{(37,1),(54,1)}
      47:{1,2,4}:{(38,1),(55,1)}
      48:{2,3,4,6}:{(39,1),(40,1),(56,1),(59,1)}
      49:{1,2,5,6}:{(40,1),(56,1),(57,1)}
      50:{1,2,5,6}:{(41,1),(43,1),(45,1),(58,1)}
      51:{1,4,6}:{(42,1),(44,1),(59,1)}
      52:{1,2,4,5}:{(43,1),(44,1),(46,1),(47,1),(58,1),(60,1)}
      53:{3,4,5}:{(44,1),(59,1),(60,1)}
      54:{2,4,6}:{(45,1),(46,1)}
      55:{2,3,4}:{(47,1),(60,1)}
      56:{2,3,5,6}:{(48,1),(49,1),(61,1),(62,1)}
      57:{1,4,5,6}:{(49,1),(51,1),(61,1),(62,1)}
      58:{1,2,4,6}:{(50,1),(51,1),(52,1),(54,1),(63,1)}
      59:{3,4,6}:{(51,1),(53,1),(62,1),(63,1)}
      60:{2,3,5}:{(52,1),(53,1),(55,1),(63,1)}
      61:{4,5,6}:{(56,1)}
      62:{3,5,6}:{(57,1),(59,1)}
      63:{2,3,6}:{(58,1),(59,1),(60,1)}

526 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

527 :  0:{1,2,4,5,6}:{(1,1),(6,1),(25,1),(27,1),(42,1),(45,1),(55,1),(56,1)}
       1:{2,3,5,6}:{(0,1),(4,1),(16,1),(52,1),(59,1)}
       2:{1,2,3,4,6}:{(5,1),(19,1),(23,1),(39,1),(40,1),(43,1),(46,1),(57,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(23,1),(24,1),(25,1)}
       4:{3,4,6}:{(1,1),(6,1),(8,1),(55,1)}
       5:{1,2,3,5}:{(2,1),(9,1),(28,1),(50,1),(59,1)}
       6:{1,4,6}:{(3,1),(4,1),(14,1)}
       7:{2,3,4,6}:{(4,1),(13,1),(16,1),(38,1),(52,1),(53,1)}
       8:{3,4,5}:{(4,1),(14,1),(16,1),(53,1),(58,1),(59,1)}
       9:{1,4,5}:{(5,1),(17,1),(19,1),(46,1)}
      10:{1,2,3,5,6}:{(5,1),(19,1),(40,1),(41,1),(42,1)}
      11:{1,3,4,5}:{(17,1),(20,1),(21,1),(24,1),(46,1),(56,1)}
      12:{1,3,4,6}:{(6,1),(23,1),(24,1),(46,1),(57,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(23,1),(25,1),(46,1)}
      14:{1,4,5}:{(6,1),(8,1),(24,1),(25,1),(46,1)}
      15:{3,4,5,6}:{(8,1),(22,1),(26,1),(41,1),(55,1),(57,1)}
      16:{2,3,5}:{(7,1),(8,1),(25,1),(27,1)}
      17:{3,4,5}:{(9,1),(28,1),(29,1),(53,1),(58,1),(59,1)}
      18:{1,2,4,5}:{(9,1),(28,1),(30,1),(32,1),(50,1),(58,1)}
      19:{1,4,6}:{(9,1),(10,1),(29,1)}
      20:{1,2,3,5}:{(11,1),(28,1),(32,1),(33,1),(50,1)}
      21:{1,3,4,6}:{(11,1),(29,1),(33,1),(34,1),(51,1)}
      22:{1,4,5,6}:{(14,1),(15,1),(34,1),(35,1),(51,1)}
      23:{1,2,3,6}:{(12,1),(13,1),(36,1),(52,1)}
      24:{1,3,5}:{(12,1),(14,1),(59,1)}
      25:{1,2,5}:{(13,1),(14,1),(16,1)}
      26:{2,3,5,6}:{(15,1),(16,1),(35,1),(38,1),(52,1)}
      27:{2,4,5}:{(16,1),(38,1),(58,1)}
      28:{2,3,5}:{(17,1),(18,1),(39,1),(40,1)}
      29:{3,4,6}:{(17,1),(19,1),(40,1),(41,1),(55,1)}
      30:{1,2,4,6}:{(18,1),(19,1),(40,1),(42,1),(55,1)}
      31:{1,4,5,6}:{(19,1),(41,1),(42,1),(55,1),(56,1)}
      32:{1,2,4}:{(20,1),(39,1),(46,1)}
      33:{1,2,3,6}:{(20,1),(21,1),(40,1),(43,1)}
      34:{1,3,5,6}:{(21,1),(22,1),(24,1),(41,1)}
      35:{1,2,5,6}:{(22,1),(25,1),(26,1),(45,1)}
      36:{1,2,3,5}:{(23,1),(24,1),(25,1),(46,1),(47,1)}
      37:{1,2,4,5}:{(25,1),(27,1),(45,1),(46,1),(47,1),(56,1)}
      38:{2,4,6}:{(26,1),(27,1),(55,1)}
      39:{2,3,4}:{(28,1),(32,1),(53,1)}
      40:{2,3,6}:{(28,1),(29,1),(30,1)}
      41:{3,5,6}:{(29,1),(31,1),(59,1)}
      42:{1,2,5,6}:{(30,1),(31,1),(49,1),(50,1)}
      43:{1,2,4,6}:{(32,1),(33,1),(48,1),(50,1),(51,1)}
      44:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(36,1),(49,1),(50,1),(51,1),(52,1),(59,1)}
      45:{1,2,4,6}:{(35,1),(37,1),(38,1),(51,1),(52,1)}
      46:{1,4}:{(36,1),(53,1)}
      47:{2,3,5}:{(37,1),(52,1),(53,1),(59,1)}
      48:{2,3,4,6}:{(39,1),(40,1),(43,1),(54,1),(55,1),(57,1)}
      49:{2,3,5,6}:{(40,1),(41,1),(42,1),(54,1),(55,1)}
      50:{1,2,5}:{(43,1),(54,1),(56,1)}
      51:{1,4,6}:{(44,1),(46,1),(55,1),(56,1),(57,1)}
      52:{2,3,6}:{(45,1),(47,1),(57,1)}
      53:{3,4}:{(46,1),(47,1)}
      54:{2,3,5}:{(48,1),(50,1),(58,1),(59,1)}
      55:{4,6}:{(49,1),(58,1)}
      56:{1,4,5}:{(50,1),(51,1),(58,1),(59,1)}
      57:{3,4,6}:{(51,1),(52,1),(53,1),(59,1)}
      58:{4,5}:{(54,1),(55,1)}
      59:{3,5}:{(56,1),(57,1)}

528 :  0:{1,3,4,5,6}:{(1,1),(9,1),(17,1),(27,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(17,1)}
       3:{2,3,4,6}:{(2,1),(6,1),(14,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(11,1)}
       5:{1,2,3,4,6}:{(3,1),(8,1),(17,1),(25,1),(26,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,4,5,6}:{(4,1),(10,1),(17,1),(28,1),(29,1)}
       8:{1,2,3,5}:{(5,1),(6,1),(11,1)}
       9:{3,4,5}:{(6,1),(11,1),(14,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(14,1)}
      11:{1,4,5}:{(8,1),(9,1),(17,1)}
      12:{1,2,3,5,6}:{(8,1),(10,1),(17,1),(26,1),(27,1),(28,1)}
      13:{2,3,4,5}:{(9,1),(16,1),(18,1),(43,1)}
      14:{3,4,6}:{(9,1),(10,1),(17,1)}
      15:{1,3,4,5}:{(11,1),(20,1),(21,1),(39,1)}
      16:{1,2,4,5}:{(11,1),(13,1),(20,1),(22,1),(39,1)}
      17:{1,4,6}:{(11,1),(12,1),(14,1)}
      18:{2,3,4,6}:{(13,1),(14,1),(22,1),(24,1),(40,1)}
      19:{3,4,5,6}:{(14,1),(23,1),(24,1),(40,1)}
      20:{1,2,3,5}:{(15,1),(16,1),(25,1),(26,1)}
      21:{1,3,4,6}:{(15,1),(17,1),(26,1),(27,1),(36,1)}
      22:{1,2,4,6}:{(16,1),(17,1),(18,1),(26,1),(28,1),(36,1)}
      23:{1,4,5,6}:{(17,1),(19,1),(27,1),(28,1),(36,1)}
      24:{2,3,5,6}:{(18,1),(19,1),(28,1),(29,1)}
      25:{1,2,3,4}:{(20,1)}
      26:{1,2,3,6}:{(20,1),(21,1),(22,1)}
      27:{1,3,5,6}:{(21,1),(23,1)}
      28:{1,2,5,6}:{(22,1),(23,1),(24,1)}
      29:{2,4,5,6}:{(24,1)}
      30:{1,3,4,5,6}:{(27,1),(34,1),(36,1),(43,1)}
      31:{1,2,3,4,6}:{(25,1),(26,1),(35,1),(36,1),(42,1)}
      32:{1,2,3,5,6}:{(26,1),(27,1),(28,1),(35,1),(36,1),(37,1)}
      33:{1,2,4,5,6}:{(28,1),(29,1),(36,1),(37,1),(41,1)}
      34:{1,2,3,5,6}:{(30,1),(38,1),(44,1)}
      35:{1,2,3,5}:{(31,1),(39,1),(44,1)}
      36:{1,4,6}:{(32,1),(39,1),(40,1)}
      37:{2,3,5,6}:{(33,1),(40,1),(44,1)}
      38:{1,2,4,6}:{(34,1),(36,1),(41,1),(42,1)}
      39:{1,4,5}:{(35,1),(36,1),(43,1)}
      40:{3,4,6}:{(36,1),(37,1),(43,1)}
      41:{1,2,4,5}:{(38,1),(39,1),(44,1)}
      42:{2,3,4,6}:{(38,1),(40,1),(44,1)}
      43:{3,4,5}:{(39,1),(40,1),(44,1)}
      44:{2,3,5}:{(41,1),(42,1),(43,1)}

529 :  0:{2,3,4,5}:{(1,1),(2,1),(38,1)}
       1:{1,2,4,5}:{(0,1),(5,1),(6,1),(33,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(6,1),(28,1)}
       3:{3,4,5,6}:{(4,1),(7,1),(28,1),(53,1),(62,1)}
       4:{2,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1),(11,1),(24,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(22,1)}
       7:{1,4,5,6}:{(3,1),(9,1),(12,1),(22,1)}
       8:{2,4,5,6}:{(4,1),(53,1)}
       9:{1,2,5,6}:{(4,1),(6,1),(7,1)}
      10:{1,3,4}:{(5,1)}
      11:{1,2,3,6}:{(5,1),(6,1),(17,1)}
      12:{1,3,5,6}:{(7,1),(18,1),(62,1)}
      13:{1,2,4,5,6}:{(8,1),(9,1),(19,1),(22,1),(42,1),(56,1),(57,1),(58,1)}
      14:{1,3,4,5}:{(10,1),(20,1),(21,1),(24,1),(43,1)}
      15:{1,2,3,5,6}:{(9,1),(11,1),(12,1),(19,1),(22,1),(24,1),(26,1),(42,1)}
      16:{1,2,3,4}:{(10,1),(20,1)}
      17:{1,3,4,6}:{(10,1),(11,1),(22,1),(24,1)}
      18:{1,3,4,6}:{(12,1),(22,1),(26,1),(27,1),(59,1)}
      19:{2,3,5,6}:{(13,1),(28,1),(47,1),(62,1),(63,1)}
      20:{1,2,3,5}:{(14,1),(16,1),(29,1),(30,1)}
      21:{1,3,4,6}:{(14,1),(30,1),(31,1),(50,1)}
      22:{1,4,6}:{(15,1),(28,1),(33,1)}
      23:{1,2,3,4,6}:{(16,1),(17,1),(30,1),(32,1),(34,1),(50,1),(54,1),(63,1)}
      24:{1,3,5}:{(17,1),(33,1)}
      25:{2,3,4,5}:{(29,1),(35,1),(52,1)}
      26:{1,2,3,6}:{(18,1),(32,1),(36,1),(63,1)}
      27:{1,3,4,5}:{(18,1),(33,1),(36,1),(52,1)}
      28:{3,4,6}:{(19,1),(22,1),(38,1)}
      29:{1,2,4,5}:{(20,1),(25,1),(39,1),(43,1)}
      30:{1,2,3,6}:{(20,1),(21,1),(39,1)}
      31:{1,3,5,6}:{(21,1),(24,1),(40,1)}
      32:{1,2,4,6}:{(22,1),(26,1),(37,1),(42,1),(45,1)}
      33:{1,4,5}:{(22,1),(24,1),(38,1),(42,1)}
      34:{1,2,3,5}:{(23,1),(24,1),(42,1),(43,1),(60,1)}
      35:{2,3,4,6}:{(25,1),(39,1),(44,1),(59,1)}
      36:{1,2,3,5}:{(26,1),(27,1),(42,1),(45,1),(60,1)}
      37:{2,3,4,6}:{(28,1),(32,1),(47,1),(54,1),(61,1),(63,1)}
      38:{3,4,5}:{(28,1),(33,1),(47,1)}
      39:{1,2,4,6}:{(29,1),(30,1),(35,1),(48,1),(50,1)}
      40:{1,4,5,6}:{(31,1),(33,1),(46,1),(49,1),(50,1)}
      41:{1,2,3,5,6}:{(30,1),(31,1),(34,1),(48,1),(49,1),(50,1),(62,1),(63,1)}
      42:{1,2,5}:{(32,1),(33,1),(47,1)}
      43:{1,4,5}:{(34,1),(50,1),(52,1)}
      44:{2,3,5,6}:{(35,1),(48,1),(53,1),(62,1)}
      45:{1,2,4}:{(36,1),(54,1)}
      46:{3,4,5,6}:{(38,1),(40,1),(55,1),(59,1)}
      47:{2,3,5}:{(37,1),(38,1),(42,1),(56,1)}
      48:{1,2,5,6}:{(39,1),(44,1),(57,1)}
      49:{1,2,5,6}:{(40,1),(42,1),(55,1),(58,1)}
      50:{1,4,6}:{(41,1),(43,1),(59,1)}
      51:{1,2,4,5}:{(42,1),(43,1),(45,1),(56,1),(58,1),(60,1)}
      52:{3,4,5}:{(43,1),(59,1),(60,1)}
      53:{4,5,6}:{(44,1)}
      54:{2,3,4}:{(45,1),(60,1)}
      55:{2,3,5,6}:{(46,1),(47,1),(49,1),(61,1),(63,1)}
      56:{2,4,5}:{(47,1),(61,1)}
      57:{1,4,5,6}:{(48,1),(50,1),(53,1),(62,1)}
      58:{1,2,4,6}:{(49,1),(50,1),(51,1),(61,1),(63,1)}
      59:{3,4,6}:{(50,1),(52,1),(62,1),(63,1)}
      60:{2,3,5}:{(51,1),(52,1),(54,1),(63,1)}
      61:{2,4,6}:{(55,1),(56,1)}
      62:{3,5,6}:{(57,1),(59,1)}
      63:{2,3,6}:{(58,1),(59,1),(60,1)}

530 :  0:{1,2,3,4}:{(4,1),(22,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(19,1),(47,1)}
       2:{3,4,5,6}:{(7,1),(8,1),(28,1),(48,1)}
       3:{2,4,5,6}:{(9,1),(26,1)}
       4:{1,2,3,5}:{(0,1),(10,1),(11,1),(30,1)}
       5:{1,2,3,5}:{(1,1),(12,1),(13,1),(30,1),(35,1)}
       6:{1,3,4,6}:{(1,1),(13,1),(14,1),(31,1),(36,1),(61,1)}
       7:{1,4,5,6}:{(2,1),(14,1),(15,1),(36,1),(42,1),(53,1)}
       8:{2,3,5,6}:{(2,1),(15,1),(16,1),(38,1),(39,1)}
       9:{2,3,5,6}:{(3,1),(17,1),(18,1),(39,1)}
      10:{1,4,5}:{(4,1),(19,1),(21,1)}
      11:{1,2,3,6}:{(4,1),(21,1),(43,1)}
      12:{1,2,4}:{(5,1),(22,1)}
      13:{1,2,3,6}:{(5,1),(6,1),(23,1),(43,1),(70,1)}
      14:{1,3,5,6}:{(6,1),(7,1),(44,1),(52,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(25,1),(51,1),(62,1)}
      16:{2,4,6}:{(8,1),(26,1)}
      17:{3,4,6}:{(9,1),(28,1),(29,1)}
      18:{1,2,5,6}:{(9,1),(29,1),(51,1)}
      19:{3,4,5}:{(10,1),(30,1),(31,1),(56,1)}
      20:{1,2,4,5}:{(10,1),(12,1),(30,1),(32,1),(35,1),(56,1)}
      21:{1,4,6}:{(10,1),(11,1),(31,1),(33,1)}
      22:{2,3,4}:{(12,1),(30,1)}
      23:{1,2,4,6}:{(12,1),(13,1),(34,1),(35,1),(36,1),(76,1),(80,1)}
      24:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(35,1),(36,1),(38,1),(54,1),(57,1),(60,1),(73,1),(80,1)}
      25:{1,2,4,6}:{(15,1),(16,1),(36,1),(37,1),(38,1),(71,1),(80,1)}
      26:{2,4,5}:{(16,1),(39,1)}
      27:{2,3,4,6}:{(16,1),(17,1),(38,1),(39,1),(40,1),(59,1)}
      28:{3,4,5}:{(17,1),(39,1),(42,1),(59,1)}
      29:{1,4,6}:{(17,1),(18,1),(41,1),(42,1)}
      30:{2,3,5}:{(19,1),(20,1),(22,1),(43,1)}
      31:{3,4,6}:{(19,1),(21,1),(43,1),(44,1),(63,1)}
      32:{1,2,4,6}:{(20,1),(21,1),(43,1),(45,1),(63,1)}
      33:{1,5,6}:{(21,1),(44,1)}
      34:{2,3,4,6}:{(22,1),(23,1),(43,1),(46,1),(48,1),(63,1),(68,1),(77,1)}
      35:{1,2,5}:{(23,1),(46,1),(47,1)}
      36:{1,4,6}:{(24,1),(47,1),(48,1),(63,1),(69,1)}
      37:{1,2,4,5}:{(25,1),(26,1),(47,1),(49,1),(51,1),(65,1),(69,1),(79,1)}
      38:{2,3,6}:{(25,1),(48,1),(49,1)}
      39:{2,3,5}:{(26,1),(27,1),(28,1),(51,1)}
      40:{1,2,4,6}:{(27,1),(29,1),(50,1),(51,1),(69,1)}
      41:{1,3,6}:{(29,1),(52,1)}
      42:{1,4,5}:{(28,1),(29,1),(51,1),(52,1),(69,1)}
      43:{2,3,6}:{(30,1),(31,1),(32,1)}
      44:{3,5,6}:{(31,1),(33,1),(53,1)}
      45:{1,2,5,6}:{(32,1),(33,1),(35,1),(54,1),(55,1),(80,1)}
      46:{2,3,5}:{(34,1),(35,1),(56,1),(57,1)}
      47:{1,4,5}:{(35,1),(36,1),(56,1),(57,1)}
      48:{3,4,6}:{(36,1),(38,1),(57,1),(59,1)}
      49:{2,3,5}:{(37,1),(38,1),(57,1),(59,1)}
      50:{1,2,3,6}:{(38,1),(40,1),(41,1),(58,1),(60,1),(80,1)}
      51:{1,2,5}:{(39,1),(40,1),(42,1)}
      52:{1,3,5}:{(41,1),(42,1),(61,1)}
      53:{4,5,6}:{(44,1),(62,1),(63,1)}
      54:{2,3,5,6}:{(43,1),(44,1),(45,1),(46,1),(62,1),(63,1),(64,1),(77,1)}
      55:{1,4,5,6}:{(45,1),(47,1),(63,1),(64,1),(78,1)}
      56:{4,5}:{(46,1),(63,1)}
      57:{3,5}:{(47,1),(48,1)}
      58:{1,3,4,6}:{(48,1),(50,1),(67,1),(69,1),(78,1)}
      59:{3,4}:{(49,1),(69,1)}
      60:{1,2,3,5}:{(49,1),(50,1),(51,1),(52,1),(67,1),(69,1),(70,1),(79,1)}
      61:{1,3,4}:{(52,1),(69,1),(70,1)}
      62:{2,5,6}:{(53,1),(71,1)}
      63:{4,6}:{(54,1),(56,1)}
      64:{3,5,6}:{(55,1),(57,1),(72,1)}
      65:{2,4,5}:{(56,1),(71,1),(74,1)}
      66:{3,4,5}:{(56,1),(57,1),(59,1),(72,1),(74,1),(75,1)}
      67:{1,3,5}:{(57,1),(58,1),(75,1)}
      68:{2,3,4}:{(59,1),(74,1),(76,1)}
      69:{1,4}:{(59,1),(60,1)}
      70:{1,2,3}:{(61,1),(76,1)}
      71:{2,4,6}:{(62,1),(63,1),(65,1),(77,1)}
      72:{3,4,6}:{(63,1),(64,1),(66,1),(77,1),(78,1)}
      73:{1,3,5,6}:{(64,1),(67,1),(78,1)}
      74:{2,3,5}:{(65,1),(66,1),(68,1),(77,1),(79,1)}
      75:{1,4,5}:{(66,1),(67,1),(69,1),(78,1),(79,1)}
      76:{1,2,4}:{(68,1),(69,1),(70,1),(79,1)}
      77:{2,3,6}:{(71,1),(72,1),(74,1),(80,1)}
      78:{1,4,6}:{(72,1),(73,1),(75,1),(80,1)}
      79:{1,2,5}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,2,6}:{(77,1),(78,1),(79,1)}

531 :  0:{2,3,4,5}:{(2,1),(3,1),(43,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(33,1),(47,1),(61,1)}
       2:{1,2,4,5}:{(0,1),(4,1),(6,1),(33,1)}
       3:{2,3,4,6}:{(0,1),(6,1),(7,1),(35,1)}
       4:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(10,1),(25,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(9,1),(11,1),(25,1)}
       7:{2,3,5,6}:{(3,1),(11,1),(12,1),(26,1)}
       8:{1,2,3,4}:{(4,1),(47,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(6,1)}
      10:{1,3,5,6}:{(5,1),(15,1),(61,1)}
      11:{1,2,5,6}:{(6,1),(7,1),(17,1)}
      12:{4,5,6}:{(7,1)}
      13:{2,4,5,6}:{(12,1),(22,1)}
      14:{1,2,3,4,6}:{(8,1),(9,1),(23,1),(25,1),(44,1),(55,1),(58,1),(59,1)}
      15:{1,4,5,6}:{(10,1),(20,1),(24,1),(25,1),(57,1)}
      16:{1,2,3,5,6}:{(9,1),(10,1),(11,1),(23,1),(24,1),(25,1),(26,1),(44,1)}
      17:{1,4,5,6}:{(11,1),(12,1),(25,1),(26,1)}
      18:{3,4,5,6}:{(12,1),(22,1),(26,1),(27,1),(40,1)}
      19:{2,3,4,5}:{(28,1),(29,1),(49,1)}
      20:{3,4,5,6}:{(15,1),(30,1),(35,1),(49,1)}
      21:{1,2,4,5,6}:{(13,1),(17,1),(31,1),(32,1),(34,1),(48,1),(51,1),(62,1)}
      22:{2,3,5,6}:{(13,1),(18,1),(28,1),(32,1)}
      23:{1,2,3,5}:{(14,1),(33,1),(52,1),(61,1),(62,1)}
      24:{1,2,5,6}:{(15,1),(30,1),(34,1),(62,1)}
      25:{1,4,6}:{(16,1),(33,1),(35,1)}
      26:{3,5,6}:{(17,1),(35,1)}
      27:{1,4,5,6}:{(18,1),(32,1),(36,1),(51,1)}
      28:{2,3,4,6}:{(19,1),(22,1),(38,1),(40,1)}
      29:{1,2,4,5}:{(19,1),(37,1),(38,1),(57,1)}
      30:{2,3,5,6}:{(20,1),(24,1),(39,1),(44,1),(56,1)}
      31:{2,3,5,6}:{(21,1),(26,1),(40,1),(44,1),(56,1)}
      32:{1,2,5,6}:{(22,1),(27,1),(38,1)}
      33:{1,4,5}:{(23,1),(25,1),(43,1)}
      34:{1,2,4,6}:{(24,1),(25,1),(39,1),(42,1),(44,1)}
      35:{3,4,6}:{(25,1),(26,1),(43,1),(44,1)}
      36:{1,3,5,6}:{(26,1),(27,1),(45,1)}
      37:{1,2,3,5}:{(29,1),(46,1),(47,1),(61,1)}
      38:{1,2,4,6}:{(28,1),(29,1),(32,1),(46,1),(51,1)}
      39:{2,4,6}:{(30,1),(48,1)}
      40:{3,4,6}:{(31,1),(49,1),(51,1)}
      41:{1,2,3,5,6}:{(31,1),(32,1),(36,1),(46,1),(51,1),(54,1),(61,1),(62,1)}
      42:{1,2,4,5}:{(33,1),(34,1),(48,1),(52,1),(62,1),(63,1)}
      43:{3,4,5}:{(33,1),(35,1),(52,1)}
      44:{2,3,6}:{(34,1),(35,1),(52,1)}
      45:{1,3,4,6}:{(35,1),(36,1),(51,1),(53,1),(54,1)}
      46:{1,2,3,6}:{(37,1),(38,1),(55,1)}
      47:{1,3,4}:{(37,1)}
      48:{2,4,5}:{(39,1),(56,1)}
      49:{3,4,5}:{(40,1),(56,1),(57,1)}
      50:{2,3,4,6}:{(39,1),(40,1),(44,1),(56,1),(58,1),(59,1)}
      51:{1,4,6}:{(40,1),(41,1),(57,1)}
      52:{2,3,5}:{(42,1),(43,1),(44,1),(59,1)}
      53:{1,3,4,5}:{(43,1),(45,1),(57,1),(60,1)}
      54:{1,2,3,6}:{(44,1),(45,1),(58,1),(60,1)}
      55:{1,3,4,6}:{(46,1),(47,1),(51,1),(61,1)}
      56:{2,3,5}:{(48,1),(49,1),(50,1),(62,1)}
      57:{1,4,5}:{(49,1),(51,1),(61,1),(62,1)}
      58:{1,2,4,6}:{(50,1),(51,1),(54,1),(62,1),(63,1)}
      59:{2,3,4}:{(52,1),(63,1)}
      60:{1,2,3,5}:{(52,1),(53,1),(54,1),(62,1),(63,1)}
      61:{1,3,5}:{(55,1),(57,1)}
      62:{1,2,5}:{(56,1),(57,1),(58,1)}
      63:{1,2,4}:{(59,1),(60,1)}

532 :  0:{1,3,4,5}:{(3,1),(4,1),(40,1),(43,1)}
       1:{3,4,5,6}:{(5,1),(6,1),(25,1),(39,1)}
       2:{2,4,5,6}:{(7,1),(23,1)}
       3:{1,3,4,6}:{(0,1),(8,1),(9,1),(26,1),(55,1),(59,1)}
       4:{1,2,3,5}:{(0,1),(9,1),(10,1),(28,1),(29,1)}
       5:{2,3,5,6}:{(1,1),(12,1),(13,1),(34,1),(35,1)}
       6:{1,4,5,6}:{(1,1),(8,1),(12,1),(26,1),(38,1),(74,1)}
       7:{2,3,5,6}:{(2,1),(14,1),(15,1),(34,1)}
       8:{1,3,5,6}:{(3,1),(6,1),(49,1),(65,1)}
       9:{1,2,3,6}:{(3,1),(4,1),(17,1),(44,1),(68,1)}
      10:{1,2,4}:{(4,1),(18,1)}
      11:{1,2,3,4}:{(18,1),(20,1)}
      12:{1,2,5,6}:{(5,1),(6,1),(22,1),(47,1),(79,1)}
      13:{2,4,6}:{(5,1),(23,1)}
      14:{1,2,5,6}:{(7,1),(24,1),(47,1)}
      15:{3,4,6}:{(7,1),(24,1),(25,1)}
      16:{1,2,3,5,6}:{(8,1),(9,1),(12,1),(26,1),(28,1),(35,1),(51,1),(54,1),(57,1),(70,1),(80,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(26,1),(27,1),(28,1),(75,1),(80,1)}
      18:{2,3,4}:{(10,1),(29,1)}
      19:{1,2,4,5}:{(10,1),(28,1),(29,1),(30,1),(31,1),(53,1)}
      20:{1,2,3,5}:{(11,1),(29,1),(31,1),(32,1)}
      21:{2,3,4,6}:{(13,1),(15,1),(33,1),(34,1),(35,1),(58,1)}
      22:{1,2,4,6}:{(12,1),(13,1),(26,1),(35,1),(36,1),(73,1),(80,1)}
      23:{2,4,5}:{(13,1),(34,1)}
      24:{1,4,6}:{(14,1),(15,1),(37,1),(38,1)}
      25:{3,4,5}:{(15,1),(34,1),(38,1),(58,1)}
      26:{1,4,6}:{(16,1),(39,1),(40,1),(64,1),(66,1)}
      27:{2,3,4,6}:{(17,1),(18,1),(39,1),(41,1),(44,1),(64,1),(67,1),(78,1)}
      28:{1,2,5}:{(17,1),(40,1),(41,1)}
      29:{2,3,5}:{(18,1),(19,1),(43,1),(44,1)}
      30:{1,2,4,6}:{(19,1),(42,1),(44,1),(45,1),(64,1)}
      31:{1,4,5}:{(20,1),(43,1),(45,1)}
      32:{1,2,3,6}:{(20,1),(44,1),(45,1)}
      33:{1,2,4,6}:{(21,1),(24,1),(46,1),(47,1),(66,1)}
      34:{2,3,5}:{(21,1),(23,1),(25,1),(47,1)}
      35:{2,3,6}:{(22,1),(39,1),(48,1)}
      36:{1,2,4,5}:{(22,1),(23,1),(40,1),(47,1),(48,1),(63,1),(66,1),(76,1)}
      37:{1,3,6}:{(24,1),(49,1)}
      38:{1,4,5}:{(24,1),(25,1),(47,1),(49,1),(66,1)}
      39:{3,4,6}:{(26,1),(35,1),(51,1),(58,1)}
      40:{1,4,5}:{(26,1),(28,1),(51,1),(53,1)}
      41:{2,3,5}:{(27,1),(28,1),(51,1),(53,1)}
      42:{1,2,5,6}:{(28,1),(30,1),(52,1),(54,1),(56,1),(80,1)}
      43:{3,4,5}:{(29,1),(31,1),(53,1),(55,1)}
      44:{2,3,6}:{(29,1),(30,1),(55,1)}
      45:{1,4,6}:{(31,1),(32,1),(55,1),(56,1)}
      46:{1,2,3,6}:{(33,1),(35,1),(37,1),(50,1),(57,1),(80,1)}
      47:{1,2,5}:{(33,1),(34,1),(38,1)}
      48:{2,3,5}:{(35,1),(36,1),(51,1),(58,1)}
      49:{1,3,5}:{(37,1),(38,1),(59,1)}
      50:{1,3,4,6}:{(39,1),(46,1),(60,1),(66,1),(77,1)}
      51:{3,5}:{(39,1),(40,1)}
      52:{1,4,5,6}:{(40,1),(42,1),(62,1),(64,1),(77,1)}
      53:{4,5}:{(41,1),(64,1)}
      54:{2,3,5,6}:{(41,1),(42,1),(44,1),(62,1),(64,1),(65,1),(78,1),(79,1)}
      55:{3,4,6}:{(43,1),(44,1),(45,1),(64,1),(65,1)}
      56:{1,5,6}:{(45,1),(65,1)}
      57:{1,2,3,5}:{(46,1),(47,1),(48,1),(49,1),(60,1),(66,1),(68,1),(76,1)}
      58:{3,4}:{(48,1),(66,1)}
      59:{1,3,4}:{(49,1),(66,1),(68,1)}
      60:{1,3,5}:{(50,1),(51,1),(69,1)}
      61:{3,4,5}:{(51,1),(53,1),(58,1),(69,1),(71,1),(72,1)}
      62:{3,5,6}:{(51,1),(52,1),(72,1)}
      63:{2,4,5}:{(53,1),(71,1),(73,1)}
      64:{4,6}:{(53,1),(54,1)}
      65:{3,5,6}:{(55,1),(56,1),(74,1)}
      66:{1,4}:{(57,1),(58,1)}
      67:{2,3,4}:{(58,1),(71,1),(75,1)}
      68:{1,2,3}:{(59,1),(75,1)}
      69:{1,4,5}:{(60,1),(61,1),(66,1),(76,1),(77,1)}
      70:{1,3,5,6}:{(60,1),(62,1),(77,1)}
      71:{2,3,5}:{(61,1),(63,1),(67,1),(76,1),(78,1)}
      72:{3,4,6}:{(61,1),(62,1),(64,1),(77,1),(78,1)}
      73:{2,4,6}:{(63,1),(64,1),(78,1),(79,1)}
      74:{4,5,6}:{(64,1),(65,1),(79,1)}
      75:{1,2,4}:{(66,1),(67,1),(68,1),(76,1)}
      76:{1,2,5}:{(69,1),(71,1),(75,1),(80,1)}
      77:{1,4,6}:{(69,1),(70,1),(72,1),(80,1)}
      78:{2,3,6}:{(71,1),(72,1),(73,1),(80,1)}
      79:{2,5,6}:{(73,1),(74,1)}
      80:{1,2,6}:{(76,1),(77,1),(78,1)}

533 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(14,1),(27,1),(45,1),(55,1),(59,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(35,1),(51,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(14,1),(16,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(59,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(20,1),(34,1),(35,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(34,1),(51,1),(58,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(13,1),(14,1),(28,1)}
       8:{2,3,5}:{(4,1),(6,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(5,1),(13,1),(16,1),(28,1),(43,1)}
      10:{1,4,5}:{(5,1),(6,1),(14,1),(16,1),(28,1)}
      11:{3,4,5,6}:{(6,1),(15,1),(17,1),(43,1),(54,1),(59,1)}
      12:{2,4,5}:{(8,1),(20,1),(58,1)}
      13:{1,2,3,6}:{(7,1),(9,1),(21,1),(35,1)}
      14:{1,2,5}:{(7,1),(8,1),(10,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(20,1),(22,1),(35,1)}
      16:{1,3,5}:{(9,1),(10,1),(51,1)}
      17:{1,4,5,6}:{(10,1),(11,1),(22,1),(24,1),(37,1)}
      18:{1,2,3,4,6}:{(13,1),(25,1),(28,1),(41,1),(42,1),(43,1),(44,1),(53,1)}
      19:{1,2,4,5}:{(12,1),(14,1),(26,1),(27,1),(28,1),(45,1)}
      20:{2,4,6}:{(12,1),(15,1),(59,1)}
      21:{1,2,3,5}:{(13,1),(14,1),(16,1),(26,1),(28,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(17,1),(27,1)}
      23:{1,3,4,5}:{(16,1),(28,1),(30,1),(31,1),(39,1),(45,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(31,1),(54,1)}
      25:{1,2,3,5}:{(18,1),(32,1),(46,1),(51,1),(52,1)}
      26:{2,3,5}:{(19,1),(34,1),(35,1),(51,1)}
      27:{1,2,4,6}:{(19,1),(20,1),(22,1),(35,1),(37,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{1,2,3,5,6}:{(21,1),(22,1),(24,1),(35,1),(37,1),(38,1),(51,1),(52,1),(57,1)}
      30:{1,2,3,5}:{(23,1),(36,1),(38,1),(46,1),(52,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(37,1),(38,1),(47,1)}
      32:{1,4,5}:{(25,1),(28,1),(39,1),(41,1)}
      33:{1,2,3,5,6}:{(25,1),(41,1),(53,1),(54,1),(55,1)}
      34:{3,4}:{(26,1),(28,1)}
      35:{2,3,6}:{(26,1),(27,1),(43,1)}
      36:{1,2,4}:{(28,1),(30,1),(42,1)}
      37:{1,4,6}:{(28,1),(29,1),(43,1),(45,1),(59,1)}
      38:{1,2,3,6}:{(30,1),(31,1),(44,1),(53,1)}
      39:{3,4,5}:{(32,1),(34,1),(46,1),(47,1),(51,1),(58,1)}
      40:{1,2,4,5}:{(32,1),(36,1),(46,1),(48,1),(52,1),(58,1)}
      41:{1,4,6}:{(32,1),(33,1),(47,1)}
      42:{2,3,4}:{(34,1),(36,1),(46,1)}
      43:{3,4,6}:{(34,1),(35,1),(37,1),(51,1)}
      44:{1,2,4,6}:{(36,1),(37,1),(38,1),(50,1),(52,1)}
      45:{1,4,5}:{(37,1),(51,1),(52,1),(58,1)}
      46:{2,3,5}:{(39,1),(40,1),(42,1),(53,1)}
      47:{3,4,6}:{(39,1),(41,1),(53,1),(54,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(53,1),(55,1),(59,1)}
      49:{1,4,5,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,4,6}:{(42,1),(43,1),(44,1),(53,1),(56,1),(59,1)}
      51:{3,5}:{(43,1),(45,1)}
      52:{1,2,5}:{(44,1),(45,1),(56,1)}
      53:{2,3,6}:{(46,1),(47,1),(48,1)}
      54:{3,5,6}:{(47,1),(49,1),(51,1)}
      55:{1,2,5,6}:{(48,1),(49,1),(52,1),(57,1)}
      56:{2,3,5}:{(50,1),(51,1),(52,1),(58,1)}
      57:{2,3,5,6}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      58:{4,5}:{(56,1),(59,1)}
      59:{4,6}:{(57,1),(58,1)}

534 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

535 :  0:{1,3,4,5,6}:{(1,1),(9,1),(17,1),(27,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(17,1)}
       3:{2,3,4,6}:{(2,1),(6,1),(14,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(11,1)}
       5:{1,2,3,4,6}:{(3,1),(8,1),(17,1),(25,1),(26,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,4,5,6}:{(4,1),(10,1),(17,1),(28,1),(29,1)}
       8:{1,2,3,5}:{(5,1),(6,1),(11,1)}
       9:{3,4,5}:{(6,1),(11,1),(14,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(14,1)}
      11:{1,4,5}:{(8,1),(9,1),(17,1)}
      12:{1,2,3,5,6}:{(8,1),(10,1),(17,1),(26,1),(27,1),(28,1)}
      13:{2,3,4,5}:{(9,1),(16,1),(18,1),(42,1)}
      14:{3,4,6}:{(9,1),(10,1),(17,1)}
      15:{1,3,4,5}:{(11,1),(20,1),(21,1),(38,1)}
      16:{1,2,4,5}:{(11,1),(13,1),(20,1),(22,1),(38,1)}
      17:{1,4,6}:{(11,1),(12,1),(14,1)}
      18:{2,3,4,6}:{(13,1),(14,1),(22,1),(24,1),(40,1)}
      19:{3,4,5,6}:{(14,1),(23,1),(24,1),(40,1)}
      20:{1,2,3,5}:{(15,1),(16,1),(25,1),(26,1)}
      21:{1,3,4,6}:{(15,1),(17,1),(26,1),(27,1),(36,1)}
      22:{1,2,4,6}:{(16,1),(17,1),(18,1),(26,1),(28,1),(36,1)}
      23:{1,4,5,6}:{(17,1),(19,1),(27,1),(28,1),(36,1)}
      24:{2,3,5,6}:{(18,1),(19,1),(28,1),(29,1)}
      25:{1,2,3,4}:{(20,1)}
      26:{1,2,3,6}:{(20,1),(21,1),(22,1)}
      27:{1,3,5,6}:{(21,1),(23,1)}
      28:{1,2,5,6}:{(22,1),(23,1),(24,1)}
      29:{2,4,5,6}:{(24,1)}
      30:{1,2,3,4,6}:{(25,1),(26,1),(34,1),(36,1),(43,1)}
      31:{1,3,4,5,6}:{(27,1),(35,1),(36,1),(42,1)}
      32:{1,2,3,5,6}:{(26,1),(27,1),(28,1),(34,1),(36,1),(37,1)}
      33:{1,2,4,5,6}:{(28,1),(29,1),(36,1),(37,1),(41,1)}
      34:{1,2,3,5}:{(30,1),(38,1),(44,1)}
      35:{1,2,3,5,6}:{(31,1),(39,1),(44,1)}
      36:{1,4,6}:{(32,1),(38,1),(40,1)}
      37:{2,3,5,6}:{(33,1),(40,1),(44,1)}
      38:{1,4,5}:{(34,1),(36,1),(42,1)}
      39:{1,2,4,6}:{(35,1),(36,1),(41,1),(43,1)}
      40:{3,4,6}:{(36,1),(37,1),(42,1)}
      41:{1,2,4,5}:{(38,1),(39,1),(44,1)}
      42:{3,4,5}:{(38,1),(40,1),(44,1)}
      43:{2,3,4,6}:{(39,1),(40,1),(44,1)}
      44:{2,3,5}:{(41,1),(42,1),(43,1)}

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

537 :  0:{2,3,4,5}:{(1,1),(2,1),(27,1)}
       1:{1,2,4,5}:{(0,1),(5,1),(6,1),(33,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(6,1),(18,1)}
       3:{2,4,5,6}:{(4,1),(54,1)}
       4:{2,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1),(11,1),(24,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(22,1)}
       7:{1,2,4,5,6}:{(3,1),(9,1),(12,1),(22,1),(43,1),(47,1),(57,1),(58,1)}
       8:{3,4,5,6}:{(4,1),(13,1),(18,1),(54,1),(62,1)}
       9:{1,2,5,6}:{(4,1),(6,1),(13,1)}
      10:{1,3,4}:{(5,1)}
      11:{1,2,3,6}:{(5,1),(6,1),(17,1)}
      12:{2,3,5,6}:{(7,1),(18,1),(37,1),(62,1),(63,1)}
      13:{1,4,5,6}:{(8,1),(9,1),(19,1),(22,1)}
      14:{1,3,4,5}:{(10,1),(20,1),(21,1),(24,1),(44,1)}
      15:{1,2,3,5,6}:{(9,1),(11,1),(12,1),(19,1),(22,1),(24,1),(38,1),(43,1)}
      16:{1,2,3,4}:{(10,1),(20,1)}
      17:{1,3,4,6}:{(10,1),(11,1),(22,1),(24,1)}
      18:{3,4,6}:{(12,1),(22,1),(27,1)}
      19:{1,3,5,6}:{(13,1),(28,1),(62,1)}
      20:{1,2,3,5}:{(14,1),(16,1),(29,1),(30,1)}
      21:{1,3,4,6}:{(14,1),(30,1),(31,1),(51,1)}
      22:{1,4,6}:{(15,1),(18,1),(33,1)}
      23:{1,2,3,4,6}:{(16,1),(17,1),(30,1),(32,1),(34,1),(51,1),(61,1),(63,1)}
      24:{1,3,5}:{(17,1),(33,1)}
      25:{2,3,4,5}:{(29,1),(35,1),(53,1)}
      26:{2,3,4,6}:{(18,1),(32,1),(37,1),(55,1),(61,1),(63,1)}
      27:{3,4,5}:{(18,1),(33,1),(37,1)}
      28:{1,3,4,6}:{(19,1),(22,1),(38,1),(39,1),(59,1)}
      29:{1,2,4,5}:{(20,1),(25,1),(40,1),(44,1)}
      30:{1,2,3,6}:{(20,1),(21,1),(40,1)}
      31:{1,3,5,6}:{(21,1),(24,1),(41,1)}
      32:{1,2,4,6}:{(22,1),(26,1),(38,1),(43,1),(56,1)}
      33:{1,4,5}:{(22,1),(24,1),(27,1),(43,1)}
      34:{1,2,3,5}:{(23,1),(24,1),(43,1),(44,1),(60,1)}
      35:{2,3,4,6}:{(25,1),(40,1),(45,1),(59,1)}
      36:{3,4,5,6}:{(27,1),(41,1),(46,1),(59,1)}
      37:{2,3,5}:{(26,1),(27,1),(43,1),(47,1)}
      38:{1,2,3,6}:{(28,1),(32,1),(48,1),(63,1)}
      39:{1,3,4,5}:{(28,1),(33,1),(48,1),(53,1)}
      40:{1,2,4,6}:{(29,1),(30,1),(35,1),(49,1),(51,1)}
      41:{1,4,5,6}:{(31,1),(33,1),(36,1),(50,1),(51,1)}
      42:{1,2,3,5,6}:{(30,1),(31,1),(34,1),(49,1),(50,1),(51,1),(62,1),(63,1)}
      43:{1,2,5}:{(32,1),(33,1),(37,1)}
      44:{1,4,5}:{(34,1),(51,1),(53,1)}
      45:{2,3,5,6}:{(35,1),(49,1),(54,1),(62,1)}
      46:{2,3,5,6}:{(36,1),(37,1),(50,1),(55,1),(63,1)}
      47:{2,4,5}:{(37,1),(55,1)}
      48:{1,2,3,5}:{(38,1),(39,1),(43,1),(56,1),(60,1)}
      49:{1,2,5,6}:{(40,1),(45,1),(57,1)}
      50:{1,2,5,6}:{(41,1),(43,1),(46,1),(58,1)}
      51:{1,4,6}:{(42,1),(44,1),(59,1)}
      52:{1,2,4,5}:{(43,1),(44,1),(47,1),(56,1),(58,1),(60,1)}
      53:{3,4,5}:{(44,1),(59,1),(60,1)}
      54:{4,5,6}:{(45,1)}
      55:{2,4,6}:{(46,1),(47,1)}
      56:{1,2,4}:{(48,1),(61,1)}
      57:{1,4,5,6}:{(49,1),(51,1),(54,1),(62,1)}
      58:{1,2,4,6}:{(50,1),(51,1),(52,1),(55,1),(63,1)}
      59:{3,4,6}:{(51,1),(53,1),(62,1),(63,1)}
      60:{2,3,5}:{(52,1),(53,1),(61,1),(63,1)}
      61:{2,3,4}:{(56,1),(60,1)}
      62:{3,5,6}:{(57,1),(59,1)}
      63:{2,3,6}:{(58,1),(59,1),(60,1)}

538 :  0:{1,3,4,5}:{(2,1),(3,1),(38,1),(41,1)}
       1:{3,4,5,6}:{(4,1),(5,1),(36,1),(37,1)}
       2:{1,3,4,6}:{(0,1),(7,1),(8,1),(24,1),(54,1),(67,1)}
       3:{1,2,3,5}:{(0,1),(8,1),(9,1),(26,1),(27,1)}
       4:{2,3,5,6}:{(1,1),(11,1),(12,1),(32,1),(33,1)}
       5:{1,4,5,6}:{(1,1),(7,1),(11,1),(24,1),(48,1),(73,1)}
       6:{2,4,5,6}:{(13,1),(21,1)}
       7:{1,3,5,6}:{(2,1),(5,1),(58,1),(64,1)}
       8:{1,2,3,6}:{(2,1),(3,1),(15,1),(42,1),(75,1)}
       9:{1,2,4}:{(3,1),(16,1)}
      10:{1,2,3,4}:{(16,1),(18,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(20,1),(45,1),(79,1)}
      12:{2,4,6}:{(4,1),(21,1)}
      13:{2,3,5,6}:{(6,1),(22,1),(23,1),(32,1)}
      14:{1,2,3,5,6}:{(7,1),(8,1),(11,1),(24,1),(26,1),(33,1),(50,1),(53,1),(56,1),(69,1),(80,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(24,1),(25,1),(26,1),(74,1),(80,1)}
      16:{2,3,4}:{(9,1),(27,1)}
      17:{1,2,4,5}:{(9,1),(26,1),(27,1),(28,1),(29,1),(52,1)}
      18:{1,2,3,5}:{(10,1),(27,1),(29,1),(30,1)}
      19:{2,3,4,6}:{(12,1),(23,1),(31,1),(32,1),(33,1),(57,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(24,1),(33,1),(34,1),(72,1),(80,1)}
      21:{2,4,5}:{(12,1),(32,1)}
      22:{1,2,5,6}:{(13,1),(35,1),(45,1)}
      23:{3,4,6}:{(13,1),(35,1),(36,1)}
      24:{1,4,6}:{(14,1),(37,1),(38,1),(63,1),(65,1)}
      25:{2,3,4,6}:{(15,1),(16,1),(37,1),(39,1),(42,1),(63,1),(66,1),(78,1)}
      26:{1,2,5}:{(15,1),(38,1),(39,1)}
      27:{2,3,5}:{(16,1),(17,1),(41,1),(42,1)}
      28:{1,2,4,6}:{(17,1),(40,1),(42,1),(43,1),(63,1)}
      29:{1,4,5}:{(18,1),(41,1),(43,1)}
      30:{1,2,3,6}:{(18,1),(42,1),(43,1)}
      31:{1,2,4,6}:{(19,1),(35,1),(44,1),(45,1),(65,1)}
      32:{2,3,5}:{(19,1),(21,1),(36,1),(45,1)}
      33:{2,3,6}:{(20,1),(37,1),(46,1)}
      34:{1,2,4,5}:{(20,1),(21,1),(38,1),(45,1),(46,1),(62,1),(65,1),(76,1)}
      35:{1,4,6}:{(22,1),(23,1),(47,1),(48,1)}
      36:{3,4,5}:{(23,1),(32,1),(48,1),(57,1)}
      37:{3,4,6}:{(24,1),(33,1),(50,1),(57,1)}
      38:{1,4,5}:{(24,1),(26,1),(50,1),(52,1)}
      39:{2,3,5}:{(25,1),(26,1),(50,1),(52,1)}
      40:{1,2,5,6}:{(26,1),(28,1),(51,1),(53,1),(55,1),(80,1)}
      41:{3,4,5}:{(27,1),(29,1),(52,1),(54,1)}
      42:{2,3,6}:{(27,1),(28,1),(54,1)}
      43:{1,4,6}:{(29,1),(30,1),(54,1),(55,1)}
      44:{1,2,3,6}:{(31,1),(33,1),(47,1),(49,1),(56,1),(80,1)}
      45:{1,2,5}:{(31,1),(32,1),(48,1)}
      46:{2,3,5}:{(33,1),(34,1),(50,1),(57,1)}
      47:{1,3,6}:{(35,1),(58,1)}
      48:{1,4,5}:{(35,1),(36,1),(45,1),(58,1),(65,1)}
      49:{1,3,4,6}:{(37,1),(44,1),(59,1),(65,1),(77,1)}
      50:{3,5}:{(37,1),(38,1)}
      51:{1,4,5,6}:{(38,1),(40,1),(61,1),(63,1),(77,1)}
      52:{4,5}:{(39,1),(63,1)}
      53:{2,3,5,6}:{(39,1),(40,1),(42,1),(61,1),(63,1),(64,1),(78,1),(79,1)}
      54:{3,4,6}:{(41,1),(42,1),(43,1),(63,1),(64,1)}
      55:{1,5,6}:{(43,1),(64,1)}
      56:{1,2,3,5}:{(44,1),(45,1),(46,1),(58,1),(59,1),(65,1),(75,1),(76,1)}
      57:{3,4}:{(46,1),(65,1)}
      58:{1,3,5}:{(47,1),(48,1),(67,1)}
      59:{1,3,5}:{(49,1),(50,1),(68,1)}
      60:{3,4,5}:{(50,1),(52,1),(57,1),(68,1),(70,1),(71,1)}
      61:{3,5,6}:{(50,1),(51,1),(71,1)}
      62:{2,4,5}:{(52,1),(70,1),(72,1)}
      63:{4,6}:{(52,1),(53,1)}
      64:{3,5,6}:{(54,1),(55,1),(73,1)}
      65:{1,4}:{(56,1),(57,1)}
      66:{2,3,4}:{(57,1),(70,1),(74,1)}
      67:{1,3,4}:{(58,1),(65,1),(75,1)}
      68:{1,4,5}:{(59,1),(60,1),(65,1),(76,1),(77,1)}
      69:{1,3,5,6}:{(59,1),(61,1),(77,1)}
      70:{2,3,5}:{(60,1),(62,1),(66,1),(76,1),(78,1)}
      71:{3,4,6}:{(60,1),(61,1),(63,1),(77,1),(78,1)}
      72:{2,4,6}:{(62,1),(63,1),(78,1),(79,1)}
      73:{4,5,6}:{(63,1),(64,1),(79,1)}
      74:{1,2,4}:{(65,1),(66,1),(75,1),(76,1)}
      75:{1,2,3}:{(67,1),(74,1)}
      76:{1,2,5}:{(68,1),(70,1),(74,1),(80,1)}
      77:{1,4,6}:{(68,1),(69,1),(71,1),(80,1)}
      78:{2,3,6}:{(70,1),(71,1),(72,1),(80,1)}
      79:{2,5,6}:{(72,1),(73,1)}
      80:{1,2,6}:{(76,1),(77,1),(78,1)}

539 :  0:{1,2,3,4,6}:{(1,1),(6,1),(14,1),(17,1),(33,1),(46,1),(52,1),(57,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(9,1),(43,1),(56,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(57,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(18,1),(19,1)}
       4:{3,4,5}:{(2,1),(9,1),(10,1),(44,1),(56,1),(59,1)}
       5:{1,2,4,5}:{(2,1),(9,1),(11,1),(23,1),(43,1),(44,1)}
       6:{1,4,6}:{(2,1),(3,1),(10,1)}
       7:{1,2,4,5,6}:{(13,1),(19,1),(28,1),(36,1),(48,1),(49,1),(50,1),(51,1)}
       8:{1,3,4,5}:{(4,1),(15,1),(16,1),(47,1),(51,1),(57,1)}
       9:{2,3,5}:{(4,1),(5,1),(14,1),(17,1)}
      10:{3,4,6}:{(4,1),(6,1),(17,1),(18,1),(36,1)}
      11:{1,2,4,6}:{(5,1),(6,1),(17,1),(19,1),(36,1)}
      12:{1,4,5,6}:{(6,1),(18,1),(19,1),(36,1),(51,1)}
      13:{2,3,5,6}:{(7,1),(21,1),(40,1),(55,1),(56,1)}
      14:{2,3,4}:{(9,1),(23,1),(59,1)}
      15:{1,2,3,5}:{(8,1),(9,1),(23,1),(25,1),(43,1)}
      16:{1,3,4,6}:{(8,1),(10,1),(25,1),(26,1),(45,1)}
      17:{2,3,6}:{(9,1),(10,1),(11,1)}
      18:{3,5,6}:{(10,1),(12,1),(56,1)}
      19:{1,2,5,6}:{(11,1),(12,1),(27,1),(43,1)}
      20:{1,2,3,5,6}:{(13,1),(28,1),(46,1),(47,1),(48,1)}
      21:{3,4,6}:{(13,1),(28,1),(30,1),(36,1)}
      22:{3,4,5,6}:{(18,1),(30,1),(31,1),(32,1),(36,1),(52,1)}
      23:{1,2,4}:{(14,1),(15,1),(57,1)}
      24:{2,3,4,6}:{(14,1),(17,1),(33,1),(34,1),(36,1),(52,1)}
      25:{1,2,3,6}:{(15,1),(16,1),(17,1),(33,1)}
      26:{1,3,5,6}:{(16,1),(18,1),(31,1),(47,1)}
      27:{2,3,5,6}:{(17,1),(18,1),(19,1),(34,1),(36,1)}
      28:{1,4,6}:{(20,1),(21,1),(39,1)}
      29:{2,3,4,6}:{(21,1),(38,1),(40,1),(42,1),(55,1),(59,1)}
      30:{3,4,5}:{(21,1),(39,1),(40,1),(44,1),(56,1),(59,1)}
      31:{1,4,5,6}:{(22,1),(26,1),(39,1),(41,1),(45,1)}
      32:{2,3,5,6}:{(22,1),(40,1),(41,1),(42,1),(55,1)}
      33:{1,2,4,6}:{(23,1),(24,1),(25,1),(43,1),(45,1)}
      34:{2,3,5}:{(24,1),(43,1),(44,1),(56,1)}
      35:{1,2,3,5,6}:{(25,1),(26,1),(27,1),(41,1),(43,1),(45,1),(53,1),(55,1),(56,1)}
      36:{4,6}:{(27,1),(44,1)}
      37:{1,3,4,6}:{(28,1),(46,1),(47,1),(52,1),(57,1)}
      38:{1,2,4,6}:{(28,1),(29,1),(46,1),(48,1),(57,1)}
      39:{1,4,5}:{(28,1),(30,1),(47,1),(48,1),(57,1)}
      40:{2,3,5}:{(29,1),(30,1),(48,1),(49,1)}
      41:{1,2,5,6}:{(31,1),(32,1),(48,1),(50,1)}
      42:{2,4,6}:{(32,1),(36,1),(49,1)}
      43:{1,2,5}:{(33,1),(34,1),(51,1)}
      44:{4,5}:{(34,1),(36,1)}
      45:{1,4,6}:{(35,1),(36,1),(51,1),(52,1),(57,1)}
      46:{1,2,3,6}:{(37,1),(38,1),(53,1),(55,1)}
      47:{1,3,5}:{(37,1),(39,1),(56,1)}
      48:{1,2,5}:{(38,1),(39,1),(40,1)}
      49:{2,4,5}:{(40,1),(42,1),(44,1)}
      50:{1,2,4,6}:{(41,1),(42,1),(45,1),(54,1),(55,1)}
      51:{1,4,5}:{(43,1),(44,1),(45,1),(56,1)}
      52:{3,4,6}:{(45,1),(55,1),(56,1),(59,1)}
      53:{1,2,3,5}:{(46,1),(47,1),(48,1),(57,1),(58,1)}
      54:{1,2,4,5}:{(48,1),(49,1),(50,1),(51,1),(57,1),(58,1)}
      55:{2,3,6}:{(50,1),(52,1),(58,1)}
      56:{3,5}:{(51,1),(52,1)}
      57:{1,4}:{(53,1),(59,1)}
      58:{2,3,5}:{(54,1),(55,1),(56,1),(59,1)}
      59:{3,4}:{(57,1),(58,1)}

540 :  0:{1,3,4,5}:{(2,1),(3,1),(13,1),(61,1),(63,1)}
       1:{1,2,3,4}:{(2,1),(63,1)}
       2:{1,2,3,5}:{(0,1),(1,1),(5,1),(6,1)}
       3:{1,3,4,6}:{(0,1),(6,1),(7,1),(18,1)}
       4:{1,2,3,4,6}:{(1,1),(6,1),(8,1),(18,1),(30,1),(33,1),(47,1),(58,1)}
       5:{1,2,4,5}:{(2,1),(9,1),(10,1),(13,1)}
       6:{1,2,3,6}:{(2,1),(3,1),(10,1)}
       7:{1,3,5,6}:{(3,1),(11,1),(61,1)}
       8:{1,2,3,5}:{(4,1),(13,1),(26,1),(53,1),(61,1)}
       9:{2,3,4,5}:{(5,1),(14,1),(20,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(14,1),(16,1),(18,1)}
      11:{1,4,5,6}:{(7,1),(15,1),(17,1),(18,1),(57,1)}
      12:{1,2,3,5,6}:{(6,1),(7,1),(8,1),(16,1),(17,1),(18,1),(32,1),(33,1)}
      13:{1,4,5}:{(8,1),(18,1),(20,1)}
      14:{2,3,4,6}:{(9,1),(10,1),(21,1),(25,1)}
      15:{3,4,5,6}:{(11,1),(22,1),(25,1),(52,1)}
      16:{1,2,5,6}:{(10,1),(21,1),(23,1)}
      17:{1,2,5,6}:{(11,1),(22,1),(24,1),(53,1)}
      18:{1,4,6}:{(12,1),(13,1),(25,1)}
      19:{1,2,4,5}:{(13,1),(24,1),(26,1),(38,1),(40,1),(53,1)}
      20:{3,4,5}:{(13,1),(25,1),(26,1)}
      21:{2,3,5,6}:{(14,1),(16,1),(28,1),(32,1)}
      22:{2,3,5,6}:{(15,1),(17,1),(29,1),(33,1),(46,1)}
      23:{1,4,5,6}:{(16,1),(18,1),(28,1),(32,1)}
      24:{1,2,4,6}:{(17,1),(18,1),(19,1),(29,1),(33,1)}
      25:{3,4,6}:{(18,1),(20,1),(32,1),(33,1)}
      26:{2,3,5}:{(19,1),(20,1),(30,1),(33,1)}
      27:{1,3,4,5}:{(20,1),(34,1),(35,1),(57,1)}
      28:{4,5,6}:{(21,1)}
      29:{2,4,6}:{(22,1),(38,1)}
      30:{2,3,4}:{(26,1),(40,1)}
      31:{1,2,4,5,6}:{(23,1),(24,1),(36,1),(38,1),(41,1),(51,1),(53,1),(54,1)}
      32:{3,5,6}:{(23,1),(25,1)}
      33:{2,3,6}:{(24,1),(25,1),(26,1)}
      34:{1,3,4,6}:{(25,1),(27,1),(42,1),(43,1),(54,1)}
      35:{1,2,3,5}:{(26,1),(27,1),(40,1),(43,1),(53,1)}
      36:{2,4,5,6}:{(28,1),(44,1)}
      37:{3,4,5,6}:{(28,1),(32,1),(44,1),(45,1),(48,1)}
      38:{2,4,5}:{(29,1),(46,1)}
      39:{2,3,4,6}:{(29,1),(30,1),(33,1),(46,1),(47,1),(48,1)}
      40:{1,2,4}:{(30,1),(35,1)}
      41:{2,3,5,6}:{(31,1),(32,1),(33,1),(46,1),(48,1)}
      42:{1,3,5,6}:{(32,1),(34,1),(45,1)}
      43:{1,2,3,6}:{(33,1),(34,1),(35,1),(47,1)}
      44:{2,3,5,6}:{(36,1),(37,1),(50,1),(51,1)}
      45:{1,4,5,6}:{(37,1),(42,1),(51,1),(54,1)}
      46:{2,3,5}:{(38,1),(39,1),(52,1),(53,1)}
      47:{1,2,4,6}:{(39,1),(40,1),(43,1),(53,1),(54,1)}
      48:{3,4,6}:{(41,1),(52,1),(54,1)}
      49:{1,2,3,5,6}:{(41,1),(42,1),(43,1),(51,1),(53,1),(54,1),(60,1),(61,1)}
      50:{2,3,4,6}:{(44,1),(48,1),(55,1),(56,1)}
      51:{1,2,5,6}:{(44,1),(45,1),(56,1)}
      52:{3,4,5}:{(46,1),(48,1),(57,1)}
      53:{1,2,5}:{(46,1),(47,1),(57,1)}
      54:{1,4,6}:{(48,1),(49,1),(57,1)}
      55:{2,3,4,5}:{(50,1),(52,1),(59,1)}
      56:{1,2,4,6}:{(50,1),(51,1),(54,1),(59,1),(60,1)}
      57:{1,4,5}:{(52,1),(53,1),(54,1),(61,1)}
      58:{1,3,4,6}:{(54,1),(60,1),(61,1),(63,1)}
      59:{1,2,4,5}:{(55,1),(56,1),(57,1),(62,1)}
      60:{1,2,3,6}:{(56,1),(58,1),(62,1)}
      61:{1,3,5}:{(57,1),(58,1)}
      62:{1,2,3,5}:{(59,1),(60,1),(61,1),(63,1)}
      63:{1,3,4}:{(62,1)}

541 :  0:{1,2,3,4}:{(2,1),(16,1)}
       1:{1,3,4,5}:{(3,1),(4,1),(13,1),(37,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(22,1)}
       3:{1,2,3,5}:{(1,1),(8,1),(9,1),(22,1),(27,1)}
       4:{1,3,4,6}:{(1,1),(9,1),(10,1),(23,1),(28,1),(77,1)}
       5:{3,4,5,6}:{(11,1),(12,1),(38,1),(51,1)}
       6:{1,4,5}:{(2,1),(13,1),(15,1)}
       7:{1,2,3,6}:{(2,1),(15,1),(33,1)}
       8:{1,2,4}:{(3,1),(16,1)}
       9:{1,2,3,6}:{(3,1),(4,1),(17,1),(33,1),(80,1)}
      10:{1,3,5,6}:{(4,1),(11,1),(34,1),(71,1)}
      11:{1,4,5,6}:{(5,1),(10,1),(20,1),(28,1),(45,1),(63,1)}
      12:{2,3,5,6}:{(5,1),(20,1),(21,1),(42,1),(43,1)}
      13:{3,4,5}:{(6,1),(22,1),(23,1),(48,1)}
      14:{1,2,4,5}:{(6,1),(8,1),(22,1),(24,1),(27,1),(48,1)}
      15:{1,4,6}:{(6,1),(7,1),(23,1),(25,1)}
      16:{2,3,4}:{(8,1),(22,1)}
      17:{1,2,4,6}:{(8,1),(9,1),(26,1),(27,1),(28,1),(78,1),(79,1)}
      18:{1,2,3,5,6}:{(9,1),(10,1),(20,1),(27,1),(28,1),(42,1),(46,1),(49,1),(65,1),(68,1),(79,1)}
      19:{2,4,5,6}:{(29,1),(31,1)}
      20:{1,2,5,6}:{(11,1),(12,1),(30,1),(55,1),(56,1)}
      21:{2,4,6}:{(12,1),(31,1)}
      22:{2,3,5}:{(13,1),(14,1),(16,1),(33,1)}
      23:{3,4,6}:{(13,1),(15,1),(33,1),(34,1),(57,1)}
      24:{1,2,4,6}:{(14,1),(15,1),(33,1),(35,1),(57,1)}
      25:{1,5,6}:{(15,1),(34,1)}
      26:{2,3,4,6}:{(16,1),(17,1),(33,1),(36,1),(38,1),(57,1),(72,1),(74,1)}
      27:{1,2,5}:{(17,1),(36,1),(37,1)}
      28:{1,4,6}:{(18,1),(37,1),(38,1),(57,1),(73,1)}
      29:{2,3,5,6}:{(19,1),(39,1),(40,1),(43,1)}
      30:{1,2,4,6}:{(20,1),(21,1),(28,1),(41,1),(42,1),(66,1),(79,1)}
      31:{2,4,5}:{(21,1),(43,1)}
      32:{2,3,4,6}:{(21,1),(39,1),(42,1),(43,1),(44,1),(64,1)}
      33:{2,3,6}:{(22,1),(23,1),(24,1)}
      34:{3,5,6}:{(23,1),(25,1),(45,1)}
      35:{1,2,5,6}:{(24,1),(25,1),(27,1),(46,1),(47,1),(79,1)}
      36:{2,3,5}:{(26,1),(27,1),(48,1),(49,1)}
      37:{1,4,5}:{(27,1),(28,1),(48,1),(49,1)}
      38:{3,4,6}:{(28,1),(42,1),(49,1),(64,1)}
      39:{3,4,6}:{(29,1),(51,1),(52,1)}
      40:{1,2,5,6}:{(29,1),(52,1),(55,1)}
      41:{1,2,4,5}:{(30,1),(31,1),(37,1),(53,1),(55,1),(59,1),(73,1),(76,1)}
      42:{2,3,6}:{(30,1),(38,1),(53,1)}
      43:{2,3,5}:{(31,1),(32,1),(51,1),(55,1)}
      44:{1,2,4,6}:{(32,1),(52,1),(54,1),(55,1),(73,1)}
      45:{4,5,6}:{(34,1),(56,1),(57,1)}
      46:{2,3,5,6}:{(33,1),(34,1),(35,1),(36,1),(56,1),(57,1),(58,1),(74,1)}
      47:{1,4,5,6}:{(35,1),(37,1),(57,1),(58,1),(75,1)}
      48:{4,5}:{(36,1),(57,1)}
      49:{3,5}:{(37,1),(38,1)}
      50:{1,3,4,6}:{(38,1),(54,1),(61,1),(73,1),(75,1)}
      51:{3,4,5}:{(39,1),(43,1),(63,1),(64,1)}
      52:{1,4,6}:{(39,1),(40,1),(62,1),(63,1)}
      53:{2,3,5}:{(41,1),(42,1),(49,1),(64,1)}
      54:{1,2,3,6}:{(42,1),(44,1),(50,1),(62,1),(65,1),(79,1)}
      55:{1,2,5}:{(43,1),(44,1),(63,1)}
      56:{2,5,6}:{(45,1),(66,1)}
      57:{4,6}:{(46,1),(48,1)}
      58:{3,5,6}:{(47,1),(49,1),(67,1)}
      59:{2,4,5}:{(48,1),(66,1),(69,1)}
      60:{3,4,5}:{(48,1),(49,1),(64,1),(67,1),(69,1),(70,1)}
      61:{1,3,5}:{(49,1),(50,1),(70,1)}
      62:{1,3,6}:{(52,1),(71,1)}
      63:{1,4,5}:{(51,1),(52,1),(55,1),(71,1),(73,1)}
      64:{3,4}:{(53,1),(73,1)}
      65:{1,2,3,5}:{(53,1),(54,1),(55,1),(61,1),(71,1),(73,1),(76,1),(80,1)}
      66:{2,4,6}:{(56,1),(57,1),(59,1),(74,1)}
      67:{3,4,6}:{(57,1),(58,1),(60,1),(74,1),(75,1)}
      68:{1,3,5,6}:{(58,1),(61,1),(75,1)}
      69:{2,3,5}:{(59,1),(60,1),(72,1),(74,1),(76,1)}
      70:{1,4,5}:{(60,1),(61,1),(73,1),(75,1),(76,1)}
      71:{1,3,5}:{(62,1),(63,1),(77,1)}
      72:{2,3,4}:{(64,1),(69,1),(78,1)}
      73:{1,4}:{(64,1),(65,1)}
      74:{2,3,6}:{(66,1),(67,1),(69,1),(79,1)}
      75:{1,4,6}:{(67,1),(68,1),(70,1),(79,1)}
      76:{1,2,5}:{(69,1),(70,1),(78,1),(79,1)}
      77:{1,3,4}:{(71,1),(73,1),(80,1)}
      78:{1,2,4}:{(72,1),(73,1),(76,1),(80,1)}
      79:{1,2,6}:{(74,1),(75,1),(76,1)}
      80:{1,2,3}:{(77,1),(78,1)}

542 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

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

544 :  0:{1,2,3,4,6}:{(1,1),(6,1),(14,1),(15,1),(25,1),(41,1),(55,1),(59,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(8,1),(32,1),(47,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(59,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(15,1),(16,1),(17,1)}
       4:{3,4,5}:{(2,1),(8,1),(9,1),(35,1),(47,1),(57,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(18,1),(32,1),(35,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{1,3,4,5}:{(4,1),(12,1),(13,1),(39,1),(54,1),(59,1)}
       8:{2,3,5}:{(4,1),(5,1),(14,1),(15,1)}
       9:{3,4,6}:{(4,1),(6,1),(15,1),(16,1),(30,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{1,4,5,6}:{(6,1),(16,1),(17,1),(30,1),(39,1)}
      12:{1,2,3,5}:{(7,1),(8,1),(18,1),(19,1),(32,1)}
      13:{1,3,4,6}:{(7,1),(9,1),(19,1),(20,1),(34,1)}
      14:{2,3,4}:{(8,1),(18,1),(57,1)}
      15:{2,3,6}:{(8,1),(9,1),(10,1)}
      16:{3,5,6}:{(9,1),(11,1),(47,1)}
      17:{1,2,5,6}:{(10,1),(11,1),(23,1),(32,1)}
      18:{1,2,4}:{(12,1),(14,1),(59,1)}
      19:{1,2,3,6}:{(12,1),(13,1),(15,1),(25,1)}
      20:{1,3,5,6}:{(13,1),(16,1),(26,1),(54,1)}
      21:{2,3,4,6}:{(14,1),(15,1),(25,1),(28,1),(30,1),(41,1)}
      22:{3,4,5,6}:{(16,1),(26,1),(29,1),(30,1),(41,1),(43,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(17,1),(28,1),(30,1)}
      24:{1,2,4,5,6}:{(17,1),(30,1),(31,1),(39,1),(40,1),(42,1),(45,1),(56,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(32,1),(34,1)}
      26:{1,4,5,6}:{(20,1),(22,1),(33,1),(34,1),(51,1)}
      27:{1,2,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(33,1),(34,1),(47,1),(48,1),(58,1)}
      28:{2,3,5}:{(21,1),(32,1),(35,1),(47,1)}
      29:{2,3,5,6}:{(22,1),(33,1),(36,1),(48,1),(50,1)}
      30:{4,6}:{(23,1),(35,1)}
      31:{2,3,5,6}:{(24,1),(37,1),(47,1),(48,1),(50,1)}
      32:{1,2,5}:{(25,1),(28,1),(39,1)}
      33:{1,2,5,6}:{(26,1),(29,1),(40,1),(56,1)}
      34:{1,4,6}:{(27,1),(30,1),(39,1),(41,1),(59,1)}
      35:{4,5}:{(28,1),(30,1)}
      36:{2,4,6}:{(29,1),(30,1),(42,1)}
      37:{3,4,6}:{(30,1),(31,1),(43,1),(45,1)}
      38:{1,2,3,5,6}:{(31,1),(45,1),(54,1),(55,1),(56,1)}
      39:{1,4,5}:{(32,1),(34,1),(35,1),(47,1)}
      40:{1,2,4,6}:{(33,1),(34,1),(36,1),(46,1),(48,1)}
      41:{3,4,6}:{(34,1),(47,1),(48,1),(57,1)}
      42:{2,4,5}:{(35,1),(36,1),(50,1)}
      43:{3,4,5}:{(35,1),(37,1),(47,1),(50,1),(51,1),(57,1)}
      44:{2,3,4,6}:{(36,1),(37,1),(48,1),(50,1),(52,1),(57,1)}
      45:{1,4,6}:{(37,1),(38,1),(51,1)}
      46:{1,2,4,5}:{(39,1),(40,1),(42,1),(53,1),(56,1),(59,1)}
      47:{3,5}:{(39,1),(41,1)}
      48:{2,3,6}:{(40,1),(41,1),(53,1)}
      49:{1,3,4,6}:{(41,1),(45,1),(54,1),(55,1),(59,1)}
      50:{2,3,5}:{(42,1),(43,1),(44,1),(56,1)}
      51:{1,4,5}:{(43,1),(45,1),(54,1),(56,1),(59,1)}
      52:{1,2,4,6}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      53:{2,3,5}:{(46,1),(47,1),(48,1),(57,1)}
      54:{1,3,5}:{(47,1),(49,1),(51,1)}
      55:{1,2,3,6}:{(48,1),(49,1),(52,1),(58,1)}
      56:{1,2,5}:{(50,1),(51,1),(52,1)}
      57:{3,4}:{(53,1),(59,1)}
      58:{1,2,3,5}:{(53,1),(54,1),(55,1),(56,1),(59,1)}
      59:{1,4}:{(57,1),(58,1)}

545 :  0:{1,3,4,5,6}:{(1,1),(9,1),(18,1),(31,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(18,1)}
       3:{2,3,4,6}:{(2,1),(6,1),(15,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(11,1)}
       5:{1,2,3,4,6}:{(3,1),(8,1),(18,1),(19,1),(30,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,4,5,6}:{(4,1),(10,1),(18,1),(32,1),(36,1)}
       8:{1,2,3,5}:{(5,1),(6,1),(11,1)}
       9:{3,4,5}:{(6,1),(11,1),(15,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(15,1)}
      11:{1,4,5}:{(8,1),(9,1),(18,1)}
      12:{1,2,3,5,6}:{(8,1),(10,1),(18,1),(30,1),(31,1),(32,1)}
      13:{1,3,4,5,6}:{(20,1),(31,1),(41,1),(43,1)}
      14:{2,3,4,5}:{(9,1),(17,1),(21,1),(43,1)}
      15:{3,4,6}:{(9,1),(10,1),(18,1)}
      16:{1,3,4,5}:{(11,1),(23,1),(24,1),(39,1)}
      17:{1,2,4,5}:{(11,1),(14,1),(23,1),(25,1),(39,1)}
      18:{1,4,6}:{(11,1),(12,1),(15,1)}
      19:{1,2,3,4}:{(23,1)}
      20:{1,2,3,5,6}:{(13,1),(28,1),(40,1)}
      21:{2,3,4,6}:{(14,1),(15,1),(25,1),(29,1),(44,1)}
      22:{3,4,5,6}:{(15,1),(26,1),(29,1),(44,1)}
      23:{1,2,3,5}:{(16,1),(17,1),(19,1),(30,1)}
      24:{1,3,4,6}:{(16,1),(18,1),(30,1),(31,1),(41,1)}
      25:{1,2,4,6}:{(17,1),(18,1),(21,1),(30,1),(32,1),(41,1)}
      26:{1,4,5,6}:{(18,1),(22,1),(31,1),(32,1),(41,1)}
      27:{1,2,3,4,6}:{(19,1),(30,1),(33,1),(35,1),(41,1)}
      28:{1,2,4,6}:{(20,1),(34,1),(35,1),(41,1)}
      29:{2,3,5,6}:{(21,1),(22,1),(32,1),(36,1)}
      30:{1,2,3,6}:{(23,1),(24,1),(25,1)}
      31:{1,3,5,6}:{(24,1),(26,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(29,1)}
      33:{1,2,3,5}:{(27,1),(39,1),(40,1)}
      34:{1,2,4,5}:{(28,1),(39,1),(40,1)}
      35:{2,3,4,6}:{(28,1),(40,1),(44,1)}
      36:{2,4,5,6}:{(29,1)}
      37:{1,2,3,5,6}:{(30,1),(31,1),(32,1),(33,1),(41,1),(42,1)}
      38:{1,2,4,5,6}:{(32,1),(34,1),(36,1),(41,1),(42,1)}
      39:{1,4,5}:{(33,1),(41,1),(43,1)}
      40:{2,3,5}:{(34,1),(35,1),(43,1)}
      41:{1,4,6}:{(37,1),(39,1),(44,1)}
      42:{2,3,5,6}:{(38,1),(40,1),(44,1)}
      43:{3,4,5}:{(39,1),(40,1),(44,1)}
      44:{3,4,6}:{(41,1),(42,1),(43,1)}

546 :  0:{3,4,5,6}:{(3,1),(4,1),(15,1),(62,1),(63,1)}
       1:{2,4,5,6}:{(3,1),(62,1)}
       2:{2,3,4,5}:{(6,1),(7,1),(22,1)}
       3:{2,3,5,6}:{(0,1),(1,1),(7,1),(8,1)}
       4:{1,4,5,6}:{(0,1),(8,1),(9,1),(18,1)}
       5:{1,2,4,5,6}:{(1,1),(8,1),(10,1),(18,1),(36,1),(39,1),(51,1),(60,1)}
       6:{1,2,4,5}:{(2,1),(11,1),(12,1),(27,1)}
       7:{2,3,4,6}:{(2,1),(3,1),(12,1),(15,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(12,1)}
       9:{1,3,5,6}:{(4,1),(14,1),(63,1)}
      10:{2,3,5,6}:{(5,1),(15,1),(30,1),(57,1),(63,1)}
      11:{1,2,3,5}:{(6,1),(16,1),(17,1),(35,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(18,1)}
      13:{1,2,3,5,6}:{(8,1),(9,1),(10,1),(17,1),(18,1),(19,1),(35,1),(36,1)}
      14:{1,3,4,6}:{(9,1),(18,1),(19,1),(20,1),(61,1)}
      15:{3,4,6}:{(10,1),(18,1),(22,1)}
      16:{1,3,4}:{(11,1)}
      17:{1,2,3,6}:{(11,1),(12,1),(25,1)}
      18:{1,4,6}:{(13,1),(15,1),(27,1)}
      19:{1,2,3,6}:{(14,1),(26,1),(28,1),(57,1)}
      20:{1,3,4,5}:{(14,1),(27,1),(28,1),(58,1)}
      21:{2,3,4,6}:{(15,1),(26,1),(30,1),(46,1),(47,1),(57,1)}
      22:{3,4,5}:{(15,1),(27,1),(30,1)}
      23:{1,3,4,5}:{(16,1),(31,1),(32,1),(35,1),(52,1)}
      24:{1,2,3,4}:{(16,1),(31,1)}
      25:{1,3,4,6}:{(16,1),(17,1),(18,1),(35,1)}
      26:{1,2,4,6}:{(18,1),(19,1),(21,1),(36,1),(37,1)}
      27:{1,4,5}:{(18,1),(22,1),(35,1),(36,1)}
      28:{1,2,3,5}:{(19,1),(20,1),(36,1),(37,1),(53,1)}
      29:{3,4,5,6}:{(22,1),(33,1),(38,1),(61,1)}
      30:{2,3,5}:{(21,1),(22,1),(36,1),(39,1)}
      31:{1,2,3,5}:{(23,1),(24,1),(40,1),(41,1)}
      32:{1,3,4,6}:{(23,1),(41,1),(42,1),(56,1)}
      33:{1,4,5,6}:{(27,1),(29,1),(42,1),(43,1),(56,1)}
      34:{1,2,3,4,6}:{(24,1),(25,1),(26,1),(41,1),(44,1),(46,1),(56,1),(57,1)}
      35:{1,3,5}:{(25,1),(27,1)}
      36:{1,2,5}:{(26,1),(27,1),(30,1)}
      37:{1,2,4}:{(28,1),(46,1)}
      38:{2,3,5,6}:{(29,1),(30,1),(43,1),(47,1),(57,1)}
      39:{2,4,5}:{(30,1),(47,1)}
      40:{1,2,4,5}:{(31,1),(48,1),(49,1),(52,1)}
      41:{1,2,3,6}:{(31,1),(32,1),(49,1)}
      42:{1,3,5,6}:{(32,1),(33,1),(35,1)}
      43:{1,2,5,6}:{(33,1),(36,1),(38,1),(51,1)}
      44:{1,2,3,5}:{(34,1),(35,1),(36,1),(52,1),(53,1)}
      45:{1,2,4,5}:{(36,1),(37,1),(39,1),(51,1),(52,1),(53,1)}
      46:{2,3,4}:{(37,1),(53,1)}
      47:{2,4,6}:{(38,1),(39,1)}
      48:{2,3,4,5}:{(40,1),(54,1),(58,1)}
      49:{1,2,4,6}:{(40,1),(41,1),(54,1),(55,1),(56,1)}
      50:{1,2,3,5,6}:{(41,1),(42,1),(43,1),(44,1),(55,1),(56,1),(57,1),(63,1)}
      51:{1,2,4,6}:{(43,1),(45,1),(47,1),(56,1),(57,1)}
      52:{1,4,5}:{(44,1),(56,1),(58,1)}
      53:{2,3,5}:{(45,1),(46,1),(57,1),(58,1)}
      54:{2,3,4,6}:{(48,1),(49,1),(59,1),(61,1)}
      55:{1,2,5,6}:{(49,1),(59,1),(60,1)}
      56:{1,4,6}:{(50,1),(52,1),(61,1)}
      57:{2,3,6}:{(51,1),(53,1),(61,1)}
      58:{3,4,5}:{(52,1),(53,1),(61,1)}
      59:{2,3,5,6}:{(54,1),(55,1),(62,1),(63,1)}
      60:{1,4,5,6}:{(55,1),(56,1),(62,1),(63,1)}
      61:{3,4,6}:{(56,1),(57,1),(58,1),(63,1)}
      62:{4,5,6}:{(59,1)}
      63:{3,5,6}:{(60,1),(61,1)}

547 :  0:{2,3,4,5}:{(1,1),(2,1),(28,1)}
       1:{1,2,4,5}:{(0,1),(6,1),(7,1),(35,1)}
       2:{2,3,4,6}:{(0,1),(5,1),(7,1),(19,1)}
       3:{2,4,5,6}:{(5,1),(55,1)}
       4:{3,4,5,6}:{(5,1),(9,1),(19,1),(55,1),(62,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(4,1),(10,1)}
       6:{1,2,3,5}:{(1,1),(11,1),(12,1),(25,1)}
       7:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(23,1)}
       8:{1,2,4,5,6}:{(3,1),(10,1),(13,1),(23,1),(44,1),(48,1),(58,1),(59,1)}
       9:{1,4,5,6}:{(4,1),(10,1),(14,1),(23,1)}
      10:{1,2,5,6}:{(5,1),(7,1),(9,1)}
      11:{1,3,4}:{(6,1)}
      12:{1,2,3,6}:{(6,1),(7,1),(18,1)}
      13:{2,3,5,6}:{(8,1),(19,1),(39,1),(62,1),(63,1)}
      14:{1,3,5,6}:{(9,1),(20,1),(62,1)}
      15:{1,3,4,5}:{(11,1),(21,1),(22,1),(25,1),(45,1)}
      16:{1,2,3,5,6}:{(10,1),(12,1),(13,1),(14,1),(23,1),(25,1),(29,1),(44,1)}
      17:{1,2,3,4}:{(11,1),(21,1)}
      18:{1,3,4,6}:{(11,1),(12,1),(23,1),(25,1)}
      19:{3,4,6}:{(13,1),(23,1),(28,1)}
      20:{1,3,4,6}:{(14,1),(23,1),(29,1),(30,1),(60,1)}
      21:{1,2,3,5}:{(15,1),(17,1),(31,1),(32,1)}
      22:{1,3,4,6}:{(15,1),(32,1),(33,1),(52,1)}
      23:{1,4,6}:{(16,1),(19,1),(35,1)}
      24:{1,2,3,4,6}:{(17,1),(18,1),(32,1),(34,1),(36,1),(52,1),(57,1),(63,1)}
      25:{1,3,5}:{(18,1),(35,1)}
      26:{2,3,4,5}:{(31,1),(37,1),(54,1)}
      27:{2,3,4,6}:{(19,1),(34,1),(39,1),(56,1),(57,1),(63,1)}
      28:{3,4,5}:{(19,1),(35,1),(39,1)}
      29:{1,2,3,6}:{(20,1),(34,1),(40,1),(63,1)}
      30:{1,3,4,5}:{(20,1),(35,1),(40,1),(54,1)}
      31:{1,2,4,5}:{(21,1),(26,1),(41,1),(45,1)}
      32:{1,2,3,6}:{(21,1),(22,1),(41,1)}
      33:{1,3,5,6}:{(22,1),(25,1),(42,1)}
      34:{1,2,4,6}:{(23,1),(27,1),(29,1),(44,1),(49,1)}
      35:{1,4,5}:{(23,1),(25,1),(28,1),(44,1)}
      36:{1,2,3,5}:{(24,1),(25,1),(44,1),(45,1),(61,1)}
      37:{2,3,4,6}:{(26,1),(41,1),(46,1),(60,1)}
      38:{3,4,5,6}:{(28,1),(42,1),(47,1),(60,1)}
      39:{2,3,5}:{(27,1),(28,1),(44,1),(48,1)}
      40:{1,2,3,5}:{(29,1),(30,1),(44,1),(49,1),(61,1)}
      41:{1,2,4,6}:{(31,1),(32,1),(37,1),(50,1),(52,1)}
      42:{1,4,5,6}:{(33,1),(35,1),(38,1),(51,1),(52,1)}
      43:{1,2,3,5,6}:{(32,1),(33,1),(36,1),(50,1),(51,1),(52,1),(62,1),(63,1)}
      44:{1,2,5}:{(34,1),(35,1),(39,1)}
      45:{1,4,5}:{(36,1),(52,1),(54,1)}
      46:{2,3,5,6}:{(37,1),(50,1),(55,1),(62,1)}
      47:{2,3,5,6}:{(38,1),(39,1),(51,1),(56,1),(63,1)}
      48:{2,4,5}:{(39,1),(56,1)}
      49:{1,2,4}:{(40,1),(57,1)}
      50:{1,2,5,6}:{(41,1),(46,1),(58,1)}
      51:{1,2,5,6}:{(42,1),(44,1),(47,1),(59,1)}
      52:{1,4,6}:{(43,1),(45,1),(60,1)}
      53:{1,2,4,5}:{(44,1),(45,1),(48,1),(49,1),(59,1),(61,1)}
      54:{3,4,5}:{(45,1),(60,1),(61,1)}
      55:{4,5,6}:{(46,1)}
      56:{2,4,6}:{(47,1),(48,1)}
      57:{2,3,4}:{(49,1),(61,1)}
      58:{1,4,5,6}:{(50,1),(52,1),(55,1),(62,1)}
      59:{1,2,4,6}:{(51,1),(52,1),(53,1),(56,1),(63,1)}
      60:{3,4,6}:{(52,1),(54,1),(62,1),(63,1)}
      61:{2,3,5}:{(53,1),(54,1),(57,1),(63,1)}
      62:{3,5,6}:{(58,1),(60,1)}
      63:{2,3,6}:{(59,1),(60,1),(61,1)}

548 :  0:{2,3,4,5}:{(2,1),(4,1),(29,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(19,1),(51,1),(62,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(7,1),(19,1)}
       3:{1,2,3,4}:{(5,1),(51,1)}
       4:{2,3,4,6}:{(0,1),(7,1),(9,1),(37,1)}
       5:{1,2,3,5}:{(1,1),(2,1),(3,1),(10,1)}
       6:{1,3,4,6}:{(1,1),(10,1),(11,1),(26,1)}
       7:{1,2,4,6}:{(2,1),(4,1),(10,1),(12,1),(26,1)}
       8:{1,2,3,4,6}:{(3,1),(10,1),(13,1),(26,1),(46,1),(47,1),(58,1),(61,1)}
       9:{2,3,5,6}:{(4,1),(12,1),(14,1),(27,1)}
      10:{1,2,3,6}:{(5,1),(6,1),(7,1)}
      11:{1,3,5,6}:{(6,1),(16,1),(62,1)}
      12:{1,2,5,6}:{(7,1),(9,1),(18,1)}
      13:{1,2,3,5}:{(8,1),(19,1),(39,1),(62,1),(63,1)}
      14:{4,5,6}:{(9,1)}
      15:{2,4,5,6}:{(14,1),(24,1)}
      16:{1,4,5,6}:{(11,1),(22,1),(25,1),(26,1),(60,1)}
      17:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(13,1),(25,1),(26,1),(27,1),(47,1)}
      18:{1,4,5,6}:{(12,1),(14,1),(26,1),(27,1)}
      19:{1,4,5}:{(13,1),(26,1),(29,1)}
      20:{3,4,5,6}:{(14,1),(24,1),(27,1),(30,1),(44,1)}
      21:{2,3,4,5}:{(31,1),(32,1),(53,1)}
      22:{3,4,5,6}:{(16,1),(33,1),(37,1),(53,1)}
      23:{1,2,4,5,6}:{(15,1),(18,1),(34,1),(35,1),(36,1),(52,1),(55,1),(63,1)}
      24:{2,3,5,6}:{(15,1),(20,1),(31,1),(35,1)}
      25:{1,2,5,6}:{(16,1),(33,1),(36,1),(63,1)}
      26:{1,4,6}:{(17,1),(19,1),(37,1)}
      27:{3,5,6}:{(18,1),(37,1)}
      28:{1,2,4,5}:{(19,1),(36,1),(39,1),(52,1),(56,1),(63,1)}
      29:{3,4,5}:{(19,1),(37,1),(39,1)}
      30:{1,4,5,6}:{(20,1),(35,1),(38,1),(55,1)}
      31:{2,3,4,6}:{(21,1),(24,1),(42,1),(44,1)}
      32:{1,2,4,5}:{(21,1),(41,1),(42,1),(60,1)}
      33:{2,3,5,6}:{(22,1),(25,1),(43,1),(47,1),(59,1)}
      34:{2,3,5,6}:{(23,1),(27,1),(44,1),(47,1),(59,1)}
      35:{1,2,5,6}:{(24,1),(30,1),(42,1)}
      36:{1,2,4,6}:{(25,1),(26,1),(28,1),(43,1),(47,1)}
      37:{3,4,6}:{(26,1),(27,1),(29,1),(47,1)}
      38:{1,3,5,6}:{(27,1),(30,1),(48,1)}
      39:{2,3,5}:{(28,1),(29,1),(46,1),(47,1)}
      40:{1,3,4,5}:{(29,1),(48,1),(49,1),(60,1)}
      41:{1,2,3,5}:{(32,1),(50,1),(51,1),(62,1)}
      42:{1,2,4,6}:{(31,1),(32,1),(35,1),(50,1),(55,1)}
      43:{2,4,6}:{(33,1),(52,1)}
      44:{3,4,6}:{(34,1),(53,1),(55,1)}
      45:{1,2,3,5,6}:{(34,1),(35,1),(38,1),(50,1),(55,1),(57,1),(62,1),(63,1)}
      46:{2,3,4}:{(39,1),(56,1)}
      47:{2,3,6}:{(36,1),(37,1),(39,1)}
      48:{1,3,4,6}:{(37,1),(38,1),(40,1),(55,1),(57,1)}
      49:{1,2,3,5}:{(39,1),(40,1),(56,1),(57,1),(63,1)}
      50:{1,2,3,6}:{(41,1),(42,1),(58,1)}
      51:{1,3,4}:{(41,1)}
      52:{2,4,5}:{(43,1),(59,1)}
      53:{3,4,5}:{(44,1),(59,1),(60,1)}
      54:{2,3,4,6}:{(43,1),(44,1),(46,1),(47,1),(59,1),(61,1)}
      55:{1,4,6}:{(44,1),(45,1),(60,1)}
      56:{1,2,4}:{(46,1),(49,1)}
      57:{1,2,3,6}:{(47,1),(48,1),(49,1),(61,1)}
      58:{1,3,4,6}:{(50,1),(51,1),(55,1),(62,1)}
      59:{2,3,5}:{(52,1),(53,1),(54,1),(63,1)}
      60:{1,4,5}:{(53,1),(55,1),(62,1),(63,1)}
      61:{1,2,4,6}:{(54,1),(55,1),(56,1),(57,1),(63,1)}
      62:{1,3,5}:{(58,1),(60,1)}
      63:{1,2,5}:{(59,1),(60,1),(61,1)}

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

550 :  0:{1,2,3,4,6}:{(1,1),(7,1),(17,1),(20,1),(39,1),(43,1),(55,1),(56,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(10,1),(48,1),(58,1)}
       2:{1,4,5}:{(1,1),(5,1),(7,1),(56,1)}
       3:{1,2,3,5,6}:{(1,1),(7,1),(20,1),(21,1),(22,1)}
       4:{1,2,4,5,6}:{(8,1),(22,1),(23,1),(42,1),(45,1),(46,1),(47,1),(54,1)}
       5:{3,4,5}:{(2,1),(10,1),(11,1),(49,1),(58,1),(59,1)}
       6:{1,2,4,5}:{(2,1),(10,1),(12,1),(28,1),(48,1),(49,1)}
       7:{1,4,6}:{(2,1),(3,1),(11,1)}
       8:{2,3,5,6}:{(4,1),(15,1),(36,1),(53,1),(58,1)}
       9:{1,3,4,5}:{(5,1),(18,1),(19,1),(44,1),(54,1),(56,1)}
      10:{2,3,5}:{(5,1),(6,1),(17,1),(20,1)}
      11:{3,4,6}:{(5,1),(7,1),(20,1),(21,1),(42,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(20,1),(22,1),(42,1)}
      13:{1,4,5,6}:{(7,1),(21,1),(22,1),(42,1),(54,1)}
      14:{1,2,3,5,6}:{(8,1),(23,1),(43,1),(44,1),(45,1)}
      15:{3,4,6}:{(8,1),(23,1),(25,1),(42,1)}
      16:{3,4,5,6}:{(21,1),(25,1),(26,1),(27,1),(42,1),(55,1)}
      17:{2,3,4}:{(10,1),(28,1),(59,1)}
      18:{1,2,3,5}:{(9,1),(10,1),(28,1),(30,1),(48,1)}
      19:{1,3,4,6}:{(9,1),(11,1),(30,1),(31,1),(50,1)}
      20:{2,3,6}:{(10,1),(11,1),(12,1)}
      21:{3,5,6}:{(11,1),(13,1),(58,1)}
      22:{1,2,5,6}:{(12,1),(13,1),(32,1),(48,1)}
      23:{1,4,6}:{(14,1),(15,1),(35,1)}
      24:{2,3,4,6}:{(15,1),(34,1),(36,1),(38,1),(53,1),(59,1)}
      25:{3,4,5}:{(15,1),(35,1),(36,1),(49,1),(58,1),(59,1)}
      26:{1,4,5,6}:{(16,1),(31,1),(35,1),(37,1),(50,1)}
      27:{2,3,5,6}:{(16,1),(36,1),(37,1),(38,1),(53,1)}
      28:{1,2,4}:{(17,1),(18,1),(56,1)}
      29:{2,3,4,6}:{(17,1),(20,1),(39,1),(40,1),(42,1),(55,1)}
      30:{1,2,3,6}:{(18,1),(19,1),(20,1),(39,1)}
      31:{1,3,5,6}:{(19,1),(21,1),(26,1),(44,1)}
      32:{2,3,5,6}:{(20,1),(21,1),(22,1),(40,1),(42,1)}
      33:{1,3,4,6}:{(23,1),(43,1),(44,1),(55,1),(56,1)}
      34:{1,2,4,6}:{(23,1),(24,1),(43,1),(45,1),(56,1)}
      35:{1,4,5}:{(23,1),(25,1),(44,1),(45,1),(56,1)}
      36:{2,3,5}:{(24,1),(25,1),(45,1),(46,1)}
      37:{1,2,5,6}:{(26,1),(27,1),(45,1),(47,1)}
      38:{2,4,6}:{(27,1),(42,1),(46,1)}
      39:{1,2,4,6}:{(28,1),(29,1),(30,1),(48,1),(50,1)}
      40:{2,3,5}:{(29,1),(48,1),(49,1),(58,1)}
      41:{1,2,3,5,6}:{(30,1),(31,1),(32,1),(37,1),(48,1),(50,1),(51,1),(53,1),(58,1)}
      42:{4,6}:{(32,1),(49,1)}
      43:{1,2,3,6}:{(33,1),(34,1),(51,1),(53,1)}
      44:{1,3,5}:{(33,1),(35,1),(58,1)}
      45:{1,2,5}:{(34,1),(35,1),(36,1)}
      46:{2,4,5}:{(36,1),(38,1),(49,1)}
      47:{1,2,4,6}:{(37,1),(38,1),(50,1),(52,1),(53,1)}
      48:{1,2,5}:{(39,1),(40,1),(54,1)}
      49:{4,5}:{(40,1),(42,1)}
      50:{1,4,6}:{(41,1),(42,1),(54,1),(55,1),(56,1)}
      51:{1,2,3,5}:{(43,1),(44,1),(45,1),(56,1),(57,1)}
      52:{1,2,4,5}:{(45,1),(46,1),(47,1),(54,1),(56,1),(57,1)}
      53:{2,3,6}:{(47,1),(55,1),(57,1)}
      54:{1,4,5}:{(48,1),(49,1),(50,1),(58,1)}
      55:{3,4,6}:{(50,1),(53,1),(58,1),(59,1)}
      56:{1,4}:{(51,1),(59,1)}
      57:{2,3,5}:{(52,1),(53,1),(58,1),(59,1)}
      58:{3,5}:{(54,1),(55,1)}
      59:{3,4}:{(56,1),(57,1)}

551 :  0:{1,3,4,5}:{(2,1),(3,1),(14,1),(62,1),(63,1)}
       1:{1,2,3,4}:{(2,1),(63,1)}
       2:{1,2,3,5}:{(0,1),(1,1),(6,1),(7,1)}
       3:{1,3,4,6}:{(0,1),(7,1),(8,1),(19,1)}
       4:{1,2,3,4,6}:{(1,1),(7,1),(9,1),(19,1),(32,1),(35,1),(49,1),(60,1)}
       5:{2,3,4,5}:{(6,1),(10,1),(21,1)}
       6:{1,2,4,5}:{(2,1),(5,1),(11,1),(14,1)}
       7:{1,2,3,6}:{(2,1),(3,1),(11,1)}
       8:{1,3,5,6}:{(3,1),(12,1),(62,1)}
       9:{1,2,3,5}:{(4,1),(14,1),(27,1),(55,1),(62,1)}
      10:{2,3,4,6}:{(5,1),(11,1),(15,1),(26,1)}
      11:{1,2,4,6}:{(6,1),(7,1),(10,1),(17,1),(19,1)}
      12:{1,4,5,6}:{(8,1),(16,1),(18,1),(19,1),(59,1)}
      13:{1,2,3,5,6}:{(7,1),(8,1),(9,1),(17,1),(18,1),(19,1),(34,1),(35,1)}
      14:{1,4,5}:{(9,1),(19,1),(21,1)}
      15:{2,3,5,6}:{(10,1),(17,1),(22,1),(34,1)}
      16:{3,4,5,6}:{(12,1),(23,1),(26,1),(54,1)}
      17:{1,2,5,6}:{(11,1),(15,1),(24,1)}
      18:{1,2,5,6}:{(12,1),(23,1),(25,1),(55,1)}
      19:{1,4,6}:{(13,1),(14,1),(26,1)}
      20:{1,2,4,5}:{(14,1),(25,1),(27,1),(40,1),(42,1),(55,1)}
      21:{3,4,5}:{(14,1),(26,1),(27,1)}
      22:{4,5,6}:{(15,1)}
      23:{2,3,5,6}:{(16,1),(18,1),(31,1),(35,1),(48,1)}
      24:{1,4,5,6}:{(17,1),(19,1),(22,1),(34,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(20,1),(31,1),(35,1)}
      26:{3,4,6}:{(19,1),(21,1),(34,1),(35,1)}
      27:{2,3,5}:{(20,1),(21,1),(32,1),(35,1)}
      28:{1,3,4,5}:{(21,1),(36,1),(37,1),(59,1)}
      29:{2,4,5,6}:{(22,1),(38,1)}
      30:{3,4,5,6}:{(22,1),(34,1),(38,1),(39,1),(50,1)}
      31:{2,4,6}:{(23,1),(40,1)}
      32:{2,3,4}:{(27,1),(42,1)}
      33:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(40,1),(43,1),(47,1),(55,1),(56,1)}
      34:{3,5,6}:{(24,1),(26,1)}
      35:{2,3,6}:{(25,1),(26,1),(27,1)}
      36:{1,3,4,6}:{(26,1),(28,1),(44,1),(45,1),(56,1)}
      37:{1,2,3,5}:{(27,1),(28,1),(42,1),(45,1),(55,1)}
      38:{2,3,5,6}:{(29,1),(30,1),(46,1),(47,1)}
      39:{1,4,5,6}:{(30,1),(44,1),(47,1),(56,1)}
      40:{2,4,5}:{(31,1),(48,1)}
      41:{2,3,4,6}:{(31,1),(32,1),(35,1),(48,1),(49,1),(50,1)}
      42:{1,2,4}:{(32,1),(37,1)}
      43:{2,3,5,6}:{(33,1),(34,1),(35,1),(48,1),(50,1)}
      44:{1,3,5,6}:{(34,1),(36,1),(39,1)}
      45:{1,2,3,6}:{(35,1),(36,1),(37,1),(49,1)}
      46:{2,3,4,6}:{(38,1),(50,1),(52,1),(53,1)}
      47:{1,2,5,6}:{(38,1),(39,1),(53,1)}
      48:{2,3,5}:{(40,1),(41,1),(54,1),(55,1)}
      49:{1,2,4,6}:{(41,1),(42,1),(45,1),(55,1),(56,1)}
      50:{3,4,6}:{(43,1),(54,1),(56,1)}
      51:{1,2,3,5,6}:{(43,1),(44,1),(45,1),(47,1),(55,1),(56,1),(58,1),(62,1)}
      52:{2,3,4,5}:{(46,1),(54,1),(57,1)}
      53:{1,2,4,6}:{(46,1),(47,1),(56,1),(57,1),(58,1)}
      54:{3,4,5}:{(48,1),(50,1),(59,1)}
      55:{1,2,5}:{(48,1),(49,1),(59,1)}
      56:{1,4,6}:{(50,1),(51,1),(59,1)}
      57:{1,2,4,5}:{(52,1),(53,1),(59,1),(61,1)}
      58:{1,2,3,6}:{(53,1),(60,1),(61,1)}
      59:{1,4,5}:{(54,1),(55,1),(56,1),(62,1)}
      60:{1,3,4,6}:{(56,1),(58,1),(62,1),(63,1)}
      61:{1,2,3,5}:{(57,1),(58,1),(62,1),(63,1)}
      62:{1,3,5}:{(59,1),(60,1)}
      63:{1,3,4}:{(61,1)}

552 :  0:{1,3,4,5,6}:{(1,1),(9,1),(21,1),(34,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(21,1)}
       3:{1,2,4,5}:{(2,1),(6,1),(15,1)}
       4:{2,3,4,6}:{(2,1),(6,1),(12,1)}
       5:{1,2,4,5,6}:{(3,1),(8,1),(18,1),(21,1),(36,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,3,4,6}:{(4,1),(10,1),(21,1),(32,1),(35,1)}
       8:{2,3,5,6}:{(5,1),(6,1),(12,1)}
       9:{3,4,5}:{(6,1),(12,1),(15,1)}
      10:{1,2,3,5}:{(6,1),(7,1),(15,1)}
      11:{1,3,4,5,6}:{(16,1),(34,1),(41,1),(43,1)}
      12:{3,4,6}:{(8,1),(9,1),(21,1)}
      13:{1,2,3,5,6}:{(8,1),(10,1),(21,1),(34,1),(35,1),(36,1)}
      14:{2,3,4,5}:{(9,1),(20,1),(22,1),(41,1)}
      15:{1,4,5}:{(9,1),(10,1),(21,1)}
      16:{1,2,3,5,6}:{(11,1),(23,1),(37,1)}
      17:{1,3,4,5}:{(15,1),(25,1),(26,1),(44,1)}
      18:{2,4,5,6}:{(27,1)}
      19:{3,4,5,6}:{(12,1),(27,1),(28,1),(39,1)}
      20:{2,3,4,6}:{(12,1),(14,1),(27,1),(29,1),(39,1)}
      21:{1,4,6}:{(12,1),(13,1),(15,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(26,1),(29,1),(44,1)}
      23:{1,2,4,6}:{(16,1),(30,1),(31,1),(43,1)}
      24:{1,2,4,5,6}:{(18,1),(30,1),(33,1),(36,1),(43,1)}
      25:{1,3,4,6}:{(17,1),(21,1),(34,1),(35,1),(43,1)}
      26:{1,2,3,5}:{(17,1),(22,1),(32,1),(35,1)}
      27:{2,3,5,6}:{(18,1),(19,1),(20,1),(36,1)}
      28:{1,4,5,6}:{(19,1),(21,1),(34,1),(36,1),(43,1)}
      29:{1,2,4,6}:{(20,1),(21,1),(22,1),(35,1),(36,1),(43,1)}
      30:{1,2,4,5}:{(23,1),(37,1),(44,1)}
      31:{2,3,4,6}:{(23,1),(37,1),(39,1)}
      32:{1,2,3,4}:{(26,1)}
      33:{2,3,5,6}:{(24,1),(37,1),(39,1)}
      34:{1,3,5,6}:{(25,1),(28,1)}
      35:{1,2,3,6}:{(25,1),(26,1),(29,1)}
      36:{1,2,5,6}:{(27,1),(28,1),(29,1)}
      37:{2,3,5}:{(30,1),(31,1),(41,1)}
      38:{1,2,3,4,6}:{(31,1),(32,1),(35,1),(42,1),(43,1)}
      39:{3,4,6}:{(33,1),(41,1),(43,1)}
      40:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(36,1),(42,1),(43,1)}
      41:{3,4,5}:{(37,1),(39,1),(44,1)}
      42:{1,2,3,5}:{(37,1),(38,1),(44,1)}
      43:{1,4,6}:{(39,1),(40,1),(44,1)}
      44:{1,4,5}:{(41,1),(42,1),(43,1)}

553 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

554 :  0:{2,4,5,6}:{(3,1),(63,1)}
       1:{3,4,5,6}:{(3,1),(4,1),(11,1),(60,1),(63,1)}
       2:{1,2,4,5,6}:{(0,1),(5,1),(7,1),(17,1),(29,1),(31,1),(45,1),(58,1)}
       3:{2,3,5,6}:{(0,1),(1,1),(7,1),(8,1)}
       4:{1,4,5,6}:{(1,1),(6,1),(7,1),(17,1)}
       5:{2,3,5,6}:{(2,1),(11,1),(23,1),(51,1),(60,1)}
       6:{1,3,5,6}:{(4,1),(9,1),(60,1)}
       7:{1,2,5,6}:{(3,1),(4,1),(12,1)}
       8:{2,3,4,6}:{(3,1),(11,1),(12,1),(13,1)}
       9:{1,3,4,6}:{(6,1),(14,1),(15,1),(17,1),(56,1)}
      10:{1,2,3,5,6}:{(5,1),(6,1),(7,1),(15,1),(17,1),(19,1),(31,1),(33,1)}
      11:{3,4,6}:{(5,1),(17,1),(18,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(17,1),(19,1),(20,1)}
      13:{2,3,4,5}:{(8,1),(18,1),(20,1)}
      14:{1,3,4,5}:{(9,1),(21,1),(25,1),(50,1)}
      15:{1,2,3,6}:{(9,1),(21,1),(22,1),(51,1)}
      16:{2,3,4,6}:{(11,1),(22,1),(23,1),(36,1),(38,1),(51,1)}
      17:{1,4,6}:{(10,1),(11,1),(25,1)}
      18:{3,4,5}:{(11,1),(23,1),(25,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(25,1),(27,1)}
      21:{1,2,3,5}:{(14,1),(15,1),(28,1),(31,1),(44,1)}
      22:{1,2,4,6}:{(15,1),(16,1),(17,1),(28,1),(31,1)}
      23:{2,3,5}:{(16,1),(18,1),(29,1),(31,1)}
      24:{1,3,4,6}:{(17,1),(19,1),(33,1),(35,1)}
      25:{1,4,5}:{(17,1),(18,1),(31,1),(33,1)}
      26:{3,4,5,6}:{(18,1),(32,1),(34,1),(56,1)}
      27:{1,2,3,5}:{(19,1),(20,1),(33,1),(35,1)}
      28:{1,2,4}:{(21,1),(36,1)}
      29:{2,4,5}:{(23,1),(38,1)}
      30:{1,2,3,4,6}:{(22,1),(24,1),(36,1),(39,1),(43,1),(51,1),(53,1),(54,1)}
      31:{1,2,5}:{(22,1),(23,1),(25,1)}
      32:{2,3,5,6}:{(23,1),(26,1),(38,1),(40,1),(51,1)}
      33:{1,3,5}:{(24,1),(25,1)}
      34:{1,4,5,6}:{(25,1),(26,1),(40,1),(42,1),(53,1)}
      35:{1,3,4}:{(27,1)}
      36:{2,3,4}:{(28,1),(44,1)}
      37:{1,2,4,5}:{(28,1),(29,1),(31,1),(44,1),(45,1),(46,1)}
      38:{2,4,6}:{(29,1),(32,1)}
      39:{1,2,3,5}:{(30,1),(31,1),(33,1),(44,1),(46,1)}
      40:{1,2,5,6}:{(31,1),(32,1),(34,1),(45,1)}
      41:{1,3,4,5}:{(33,1),(35,1),(46,1),(48,1),(49,1)}
      42:{1,3,5,6}:{(33,1),(34,1),(49,1)}
      43:{1,2,3,4}:{(35,1),(48,1)}
      44:{2,3,5}:{(36,1),(37,1),(50,1),(51,1)}
      45:{1,2,4,6}:{(37,1),(38,1),(40,1),(51,1),(53,1)}
      46:{1,4,5}:{(39,1),(50,1),(53,1)}
      47:{1,2,3,5,6}:{(39,1),(40,1),(42,1),(51,1),(53,1),(54,1),(60,1),(61,1)}
      48:{1,2,3,5}:{(41,1),(43,1),(52,1),(54,1)}
      49:{1,3,4,6}:{(41,1),(42,1),(53,1),(54,1)}
      50:{3,4,5}:{(44,1),(46,1),(56,1)}
      51:{2,3,6}:{(44,1),(45,1),(56,1)}
      52:{1,2,4,5}:{(46,1),(48,1),(55,1),(57,1)}
      53:{1,4,6}:{(46,1),(47,1),(56,1)}
      54:{1,2,3,6}:{(48,1),(49,1),(57,1)}
      55:{2,3,4,5}:{(50,1),(52,1),(59,1)}
      56:{3,4,6}:{(50,1),(51,1),(53,1),(60,1)}
      57:{1,2,4,6}:{(52,1),(53,1),(54,1),(59,1),(61,1)}
      58:{1,4,5,6}:{(53,1),(60,1),(61,1),(63,1)}
      59:{2,3,4,6}:{(55,1),(56,1),(57,1),(62,1)}
      60:{3,5,6}:{(56,1),(58,1)}
      61:{1,2,5,6}:{(57,1),(58,1),(62,1)}
      62:{2,3,5,6}:{(59,1),(60,1),(61,1),(63,1)}
      63:{4,5,6}:{(62,1)}

555 :  0:{2,3,4,5}:{(1,1),(2,1),(42,1)}
       1:{1,2,4,5}:{(0,1),(5,1),(6,1),(37,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(6,1),(32,1)}
       3:{3,4,5,6}:{(4,1),(7,1),(32,1),(39,1),(53,1)}
       4:{2,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1),(11,1),(28,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(26,1)}
       7:{1,4,5,6}:{(3,1),(9,1),(13,1),(26,1)}
       8:{2,4,5,6}:{(4,1),(39,1)}
       9:{1,2,5,6}:{(4,1),(6,1),(7,1)}
      10:{1,3,4}:{(5,1)}
      11:{1,2,3,6}:{(5,1),(6,1),(19,1)}
      12:{2,3,4,5}:{(16,1),(20,1),(55,1)}
      13:{1,3,5,6}:{(7,1),(21,1),(53,1)}
      14:{1,2,4,5,6}:{(8,1),(9,1),(22,1),(26,1),(45,1),(46,1),(58,1),(59,1)}
      15:{1,3,4,5}:{(10,1),(23,1),(24,1),(28,1),(47,1)}
      16:{1,2,4,5}:{(12,1),(23,1),(25,1),(47,1)}
      17:{1,2,3,5,6}:{(9,1),(11,1),(13,1),(22,1),(26,1),(28,1),(30,1),(46,1)}
      18:{1,2,3,4}:{(10,1),(23,1)}
      19:{1,3,4,6}:{(10,1),(11,1),(26,1),(28,1)}
      20:{2,3,4,6}:{(12,1),(25,1),(29,1),(60,1)}
      21:{1,3,4,6}:{(13,1),(26,1),(30,1),(31,1),(60,1)}
      22:{2,3,5,6}:{(14,1),(32,1),(50,1),(53,1),(63,1)}
      23:{1,2,3,5}:{(15,1),(16,1),(18,1),(33,1)}
      24:{1,3,4,6}:{(15,1),(33,1),(34,1),(52,1)}
      25:{1,2,4,6}:{(16,1),(20,1),(33,1),(35,1),(52,1)}
      26:{1,4,6}:{(17,1),(32,1),(37,1)}
      27:{1,2,3,4,6}:{(18,1),(19,1),(33,1),(36,1),(38,1),(52,1),(56,1),(63,1)}
      28:{1,3,5}:{(19,1),(37,1)}
      29:{2,3,5,6}:{(20,1),(35,1),(39,1),(53,1)}
      30:{1,2,3,6}:{(21,1),(36,1),(40,1),(63,1)}
      31:{1,3,4,5}:{(21,1),(37,1),(40,1),(55,1)}
      32:{3,4,6}:{(22,1),(26,1),(42,1)}
      33:{1,2,3,6}:{(23,1),(24,1),(25,1)}
      34:{1,3,5,6}:{(24,1),(28,1),(43,1)}
      35:{1,2,5,6}:{(25,1),(29,1),(45,1)}
      36:{1,2,4,6}:{(26,1),(30,1),(41,1),(46,1),(48,1)}
      37:{1,4,5}:{(26,1),(28,1),(42,1),(46,1)}
      38:{1,2,3,5}:{(27,1),(28,1),(46,1),(47,1),(61,1)}
      39:{4,5,6}:{(29,1)}
      40:{1,2,3,5}:{(30,1),(31,1),(46,1),(48,1),(61,1)}
      41:{2,3,4,6}:{(32,1),(36,1),(50,1),(56,1),(62,1),(63,1)}
      42:{3,4,5}:{(32,1),(37,1),(50,1)}
      43:{1,4,5,6}:{(34,1),(37,1),(49,1),(51,1),(52,1)}
      44:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(38,1),(51,1),(52,1),(53,1),(63,1)}
      45:{1,4,5,6}:{(35,1),(39,1),(52,1),(53,1)}
      46:{1,2,5}:{(36,1),(37,1),(50,1)}
      47:{1,4,5}:{(38,1),(52,1),(55,1)}
      48:{1,2,4}:{(40,1),(56,1)}
      49:{3,4,5,6}:{(42,1),(43,1),(57,1),(60,1)}
      50:{2,3,5}:{(41,1),(42,1),(46,1),(58,1)}
      51:{1,2,5,6}:{(43,1),(46,1),(57,1),(59,1)}
      52:{1,4,6}:{(44,1),(47,1),(60,1)}
      53:{3,5,6}:{(45,1),(60,1)}
      54:{1,2,4,5}:{(46,1),(47,1),(48,1),(58,1),(59,1),(61,1)}
      55:{3,4,5}:{(47,1),(60,1),(61,1)}
      56:{2,3,4}:{(48,1),(61,1)}
      57:{2,3,5,6}:{(49,1),(50,1),(51,1),(62,1),(63,1)}
      58:{2,4,5}:{(50,1),(62,1)}
      59:{1,2,4,6}:{(51,1),(52,1),(54,1),(62,1),(63,1)}
      60:{3,4,6}:{(52,1),(53,1),(55,1),(63,1)}
      61:{2,3,5}:{(54,1),(55,1),(56,1),(63,1)}
      62:{2,4,6}:{(57,1),(58,1)}
      63:{2,3,6}:{(59,1),(60,1),(61,1)}

556 :  0:{1,2,3,4}:{(4,1),(22,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(19,1),(47,1)}
       2:{3,4,5,6}:{(7,1),(8,1),(28,1),(48,1)}
       3:{2,4,5,6}:{(9,1),(26,1)}
       4:{1,2,3,5}:{(0,1),(10,1),(11,1),(30,1)}
       5:{1,2,3,5}:{(1,1),(12,1),(13,1),(30,1),(35,1)}
       6:{1,3,4,6}:{(1,1),(13,1),(14,1),(31,1),(36,1),(61,1)}
       7:{1,4,5,6}:{(2,1),(14,1),(15,1),(36,1),(42,1),(53,1)}
       8:{2,3,5,6}:{(2,1),(15,1),(16,1),(38,1),(39,1)}
       9:{2,3,5,6}:{(3,1),(17,1),(18,1),(39,1)}
      10:{1,4,5}:{(4,1),(19,1),(21,1)}
      11:{1,2,3,6}:{(4,1),(21,1),(43,1)}
      12:{1,2,4}:{(5,1),(22,1)}
      13:{1,2,3,6}:{(5,1),(6,1),(23,1),(43,1),(70,1)}
      14:{1,3,5,6}:{(6,1),(7,1),(44,1),(52,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(25,1),(51,1),(62,1)}
      16:{2,4,6}:{(8,1),(26,1)}
      17:{3,4,6}:{(9,1),(28,1),(29,1)}
      18:{1,2,5,6}:{(9,1),(29,1),(51,1)}
      19:{3,4,5}:{(10,1),(30,1),(31,1),(56,1)}
      20:{1,2,4,5}:{(10,1),(12,1),(30,1),(32,1),(35,1),(56,1)}
      21:{1,4,6}:{(10,1),(11,1),(31,1),(33,1)}
      22:{2,3,4}:{(12,1),(30,1)}
      23:{1,2,4,6}:{(12,1),(13,1),(34,1),(35,1),(36,1),(76,1),(80,1)}
      24:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(35,1),(36,1),(38,1),(54,1),(57,1),(60,1),(73,1),(80,1)}
      25:{1,2,4,6}:{(15,1),(16,1),(36,1),(37,1),(38,1),(71,1),(80,1)}
      26:{2,4,5}:{(16,1),(39,1)}
      27:{2,3,4,6}:{(16,1),(17,1),(38,1),(39,1),(40,1),(59,1)}
      28:{3,4,5}:{(17,1),(39,1),(42,1),(59,1)}
      29:{1,4,6}:{(17,1),(18,1),(41,1),(42,1)}
      30:{2,3,5}:{(19,1),(20,1),(22,1),(43,1)}
      31:{3,4,6}:{(19,1),(21,1),(43,1),(44,1),(63,1)}
      32:{1,2,4,6}:{(20,1),(21,1),(43,1),(45,1),(63,1)}
      33:{1,5,6}:{(21,1),(44,1)}
      34:{2,3,4,6}:{(22,1),(23,1),(43,1),(46,1),(48,1),(63,1),(68,1),(77,1)}
      35:{1,2,5}:{(23,1),(46,1),(47,1)}
      36:{1,4,6}:{(24,1),(47,1),(48,1),(63,1),(69,1)}
      37:{1,2,4,5}:{(25,1),(26,1),(47,1),(49,1),(51,1),(65,1),(69,1),(79,1)}
      38:{2,3,6}:{(25,1),(48,1),(49,1)}
      39:{2,3,5}:{(26,1),(27,1),(28,1),(51,1)}
      40:{1,2,4,6}:{(27,1),(29,1),(50,1),(51,1),(69,1)}
      41:{1,3,6}:{(29,1),(52,1)}
      42:{1,4,5}:{(28,1),(29,1),(51,1),(52,1),(69,1)}
      43:{2,3,6}:{(30,1),(31,1),(32,1)}
      44:{3,5,6}:{(31,1),(33,1),(53,1)}
      45:{1,2,5,6}:{(32,1),(33,1),(35,1),(54,1),(55,1),(80,1)}
      46:{2,3,5}:{(34,1),(35,1),(56,1),(57,1)}
      47:{1,4,5}:{(35,1),(36,1),(56,1),(57,1)}
      48:{3,4,6}:{(36,1),(38,1),(57,1),(59,1)}
      49:{2,3,5}:{(37,1),(38,1),(57,1),(59,1)}
      50:{1,2,3,6}:{(38,1),(40,1),(41,1),(58,1),(60,1),(80,1)}
      51:{1,2,5}:{(39,1),(40,1),(42,1)}
      52:{1,3,5}:{(41,1),(42,1),(61,1)}
      53:{4,5,6}:{(44,1),(62,1),(63,1)}
      54:{2,3,5,6}:{(43,1),(44,1),(45,1),(46,1),(62,1),(63,1),(64,1),(77,1)}
      55:{1,4,5,6}:{(45,1),(47,1),(63,1),(64,1),(78,1)}
      56:{4,5}:{(46,1),(63,1)}
      57:{3,5}:{(47,1),(48,1)}
      58:{1,3,4,6}:{(48,1),(50,1),(67,1),(69,1),(78,1)}
      59:{3,4}:{(49,1),(69,1)}
      60:{1,2,3,5}:{(49,1),(50,1),(51,1),(52,1),(67,1),(69,1),(70,1),(79,1)}
      61:{1,3,4}:{(52,1),(69,1),(70,1)}
      62:{2,5,6}:{(53,1),(71,1)}
      63:{4,6}:{(54,1),(56,1)}
      64:{3,5,6}:{(55,1),(57,1),(72,1)}
      65:{2,4,5}:{(56,1),(71,1),(74,1)}
      66:{3,4,5}:{(56,1),(57,1),(59,1),(72,1),(74,1),(75,1)}
      67:{1,3,5}:{(57,1),(58,1),(75,1)}
      68:{2,3,4}:{(59,1),(74,1),(76,1)}
      69:{1,4}:{(59,1),(60,1)}
      70:{1,2,3}:{(61,1),(76,1)}
      71:{2,4,6}:{(62,1),(63,1),(65,1),(77,1)}
      72:{3,4,6}:{(63,1),(64,1),(66,1),(77,1),(78,1)}
      73:{1,3,5,6}:{(64,1),(67,1),(78,1)}
      74:{2,3,5}:{(65,1),(66,1),(68,1),(77,1),(79,1)}
      75:{1,4,5}:{(66,1),(67,1),(69,1),(78,1),(79,1)}
      76:{1,2,4}:{(68,1),(69,1),(70,1),(79,1)}
      77:{2,3,6}:{(71,1),(72,1),(74,1),(80,1)}
      78:{1,4,6}:{(72,1),(73,1),(75,1),(80,1)}
      79:{1,2,5}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,2,6}:{(77,1),(78,1),(79,1)}

557 :  0:{1,2,4,5,6}:{(2,1),(8,1),(29,1),(31,1),(35,1),(47,1),(51,1),(57,1)}
       1:{1,2,3,4,6}:{(3,1),(13,1),(27,1),(32,1),(33,1),(45,1),(48,1),(58,1)}
       2:{2,3,5,6}:{(0,1),(5,1),(19,1),(54,1),(59,1)}
       3:{1,2,3,5}:{(1,1),(6,1),(20,1),(52,1),(59,1)}
       4:{1,2,3,5,6}:{(2,1),(8,1),(27,1),(28,1),(29,1)}
       5:{3,4,6}:{(2,1),(8,1),(10,1),(51,1)}
       6:{1,4,5}:{(3,1),(11,1),(13,1),(48,1)}
       7:{1,2,3,5,6}:{(3,1),(13,1),(33,1),(34,1),(35,1)}
       8:{1,4,6}:{(4,1),(5,1),(17,1)}
       9:{2,3,4,6}:{(5,1),(16,1),(19,1),(42,1),(54,1),(55,1)}
      10:{3,4,5}:{(5,1),(17,1),(19,1),(55,1),(56,1),(59,1)}
      11:{3,4,5}:{(6,1),(20,1),(21,1),(55,1),(56,1),(59,1)}
      12:{1,2,4,5}:{(6,1),(20,1),(22,1),(36,1),(52,1),(56,1)}
      13:{1,4,6}:{(6,1),(7,1),(21,1)}
      14:{1,3,4,5}:{(11,1),(24,1),(25,1),(28,1),(48,1),(57,1)}
      15:{1,3,4,6}:{(8,1),(27,1),(28,1),(48,1),(58,1)}
      16:{1,2,4,6}:{(8,1),(9,1),(27,1),(29,1),(48,1)}
      17:{1,4,5}:{(8,1),(10,1),(28,1),(29,1),(48,1)}
      18:{3,4,5,6}:{(10,1),(26,1),(30,1),(34,1),(51,1),(58,1)}
      19:{2,3,5}:{(9,1),(10,1),(29,1),(31,1)}
      20:{2,3,5}:{(11,1),(12,1),(32,1),(33,1)}
      21:{3,4,6}:{(11,1),(13,1),(33,1),(34,1),(51,1)}
      22:{1,2,4,6}:{(12,1),(13,1),(33,1),(35,1),(51,1)}
      23:{1,4,5,6}:{(13,1),(34,1),(35,1),(51,1),(57,1)}
      24:{1,2,3,5}:{(14,1),(20,1),(36,1),(37,1),(52,1)}
      25:{1,3,4,6}:{(14,1),(21,1),(37,1),(38,1),(53,1)}
      26:{1,4,5,6}:{(17,1),(18,1),(38,1),(39,1),(53,1)}
      27:{1,2,3,6}:{(15,1),(16,1),(40,1),(54,1)}
      28:{1,3,5}:{(15,1),(17,1),(59,1)}
      29:{1,2,5}:{(16,1),(17,1),(19,1)}
      30:{2,3,5,6}:{(18,1),(19,1),(39,1),(42,1),(54,1)}
      31:{2,4,5}:{(19,1),(42,1),(56,1)}
      32:{2,3,4}:{(20,1),(36,1),(55,1)}
      33:{2,3,6}:{(20,1),(21,1),(22,1)}
      34:{3,5,6}:{(21,1),(23,1),(59,1)}
      35:{1,2,5,6}:{(22,1),(23,1),(44,1),(52,1)}
      36:{1,2,4}:{(24,1),(32,1),(48,1)}
      37:{1,2,3,6}:{(24,1),(25,1),(33,1),(45,1)}
      38:{1,3,5,6}:{(25,1),(26,1),(28,1),(34,1)}
      39:{1,2,5,6}:{(26,1),(29,1),(30,1),(47,1)}
      40:{1,2,3,5}:{(27,1),(28,1),(29,1),(48,1),(49,1)}
      41:{1,2,4,5}:{(29,1),(31,1),(47,1),(48,1),(49,1),(57,1)}
      42:{2,4,6}:{(30,1),(31,1),(51,1)}
      43:{2,3,4,6}:{(32,1),(33,1),(45,1),(50,1),(51,1),(58,1)}
      44:{2,3,5,6}:{(33,1),(34,1),(35,1),(50,1),(51,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(43,1),(52,1),(53,1)}
      46:{1,2,3,5,6}:{(37,1),(38,1),(39,1),(40,1),(44,1),(52,1),(53,1),(54,1),(59,1)}
      47:{1,2,4,6}:{(39,1),(41,1),(42,1),(53,1),(54,1)}
      48:{1,4}:{(40,1),(55,1)}
      49:{2,3,5}:{(41,1),(54,1),(55,1),(59,1)}
      50:{2,3,5}:{(43,1),(52,1),(56,1),(59,1)}
      51:{4,6}:{(44,1),(56,1)}
      52:{1,2,5}:{(45,1),(50,1),(57,1)}
      53:{1,4,6}:{(46,1),(48,1),(51,1),(57,1),(58,1)}
      54:{2,3,6}:{(47,1),(49,1),(58,1)}
      55:{3,4}:{(48,1),(49,1)}
      56:{4,5}:{(50,1),(51,1)}
      57:{1,4,5}:{(52,1),(53,1),(56,1),(59,1)}
      58:{3,4,6}:{(53,1),(54,1),(55,1),(59,1)}
      59:{3,5}:{(57,1),(58,1)}

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

559 :  0:{2,3,4,5}:{(2,1),(3,1),(46,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(36,1),(37,1),(53,1)}
       2:{1,2,4,5}:{(0,1),(4,1),(6,1),(37,1)}
       3:{2,3,4,6}:{(0,1),(6,1),(7,1),(39,1)}
       4:{1,2,3,5}:{(1,1),(2,1),(9,1),(10,1)}
       5:{1,3,4,6}:{(1,1),(10,1),(11,1),(29,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(10,1),(12,1),(29,1)}
       7:{2,3,5,6}:{(3,1),(12,1),(13,1),(30,1)}
       8:{2,3,4,5}:{(15,1),(16,1),(50,1)}
       9:{1,2,3,4}:{(4,1),(36,1)}
      10:{1,2,3,6}:{(4,1),(5,1),(6,1)}
      11:{1,3,5,6}:{(5,1),(18,1),(53,1)}
      12:{1,2,5,6}:{(6,1),(7,1),(20,1)}
      13:{4,5,6}:{(7,1)}
      14:{2,4,5,6}:{(13,1),(24,1)}
      15:{2,3,4,6}:{(8,1),(24,1),(26,1),(42,1)}
      16:{1,2,4,5}:{(8,1),(25,1),(26,1),(58,1)}
      17:{1,2,3,4,6}:{(9,1),(10,1),(27,1),(29,1),(44,1),(47,1),(59,1),(60,1)}
      18:{1,4,5,6}:{(11,1),(22,1),(28,1),(29,1),(58,1)}
      19:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(27,1),(28,1),(29,1),(30,1),(47,1)}
      20:{1,4,5,6}:{(12,1),(13,1),(29,1),(30,1)}
      21:{3,4,5,6}:{(13,1),(24,1),(30,1),(31,1),(42,1)}
      22:{3,4,5,6}:{(18,1),(32,1),(39,1),(50,1)}
      23:{1,2,4,5,6}:{(14,1),(20,1),(33,1),(34,1),(38,1),(49,1),(52,1),(62,1)}
      24:{2,3,5,6}:{(14,1),(15,1),(21,1),(34,1)}
      25:{1,2,3,5}:{(16,1),(35,1),(36,1),(53,1)}
      26:{1,2,4,6}:{(15,1),(16,1),(34,1),(35,1),(52,1)}
      27:{1,2,3,5}:{(17,1),(37,1),(53,1),(54,1),(62,1)}
      28:{1,2,5,6}:{(18,1),(32,1),(38,1),(62,1)}
      29:{1,4,6}:{(19,1),(37,1),(39,1)}
      30:{3,5,6}:{(20,1),(39,1)}
      31:{1,4,5,6}:{(21,1),(34,1),(40,1),(52,1)}
      32:{2,3,5,6}:{(22,1),(28,1),(41,1),(47,1),(57,1)}
      33:{2,3,5,6}:{(23,1),(30,1),(42,1),(47,1),(57,1)}
      34:{1,2,5,6}:{(24,1),(26,1),(31,1)}
      35:{1,2,3,6}:{(25,1),(26,1),(44,1)}
      36:{1,3,4}:{(25,1)}
      37:{1,4,5}:{(27,1),(29,1),(46,1)}
      38:{1,2,4,6}:{(28,1),(29,1),(41,1),(45,1),(47,1)}
      39:{3,4,6}:{(29,1),(30,1),(46,1),(47,1)}
      40:{1,3,5,6}:{(30,1),(31,1),(48,1)}
      41:{2,4,6}:{(32,1),(49,1)}
      42:{3,4,6}:{(33,1),(50,1),(52,1)}
      43:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(40,1),(52,1),(53,1),(56,1),(62,1)}
      44:{1,3,4,6}:{(35,1),(36,1),(52,1),(53,1)}
      45:{1,2,4,5}:{(37,1),(38,1),(49,1),(54,1),(62,1),(63,1)}
      46:{3,4,5}:{(37,1),(39,1),(54,1)}
      47:{2,3,6}:{(38,1),(39,1),(54,1)}
      48:{1,3,4,6}:{(39,1),(40,1),(52,1),(55,1),(56,1)}
      49:{2,4,5}:{(41,1),(57,1)}
      50:{3,4,5}:{(42,1),(57,1),(58,1)}
      51:{2,3,4,6}:{(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
      52:{1,4,6}:{(42,1),(43,1),(58,1)}
      53:{1,3,5}:{(44,1),(58,1)}
      54:{2,3,5}:{(45,1),(46,1),(47,1),(60,1)}
      55:{1,3,4,5}:{(46,1),(48,1),(58,1),(61,1)}
      56:{1,2,3,6}:{(47,1),(48,1),(59,1),(61,1)}
      57:{2,3,5}:{(49,1),(50,1),(51,1),(62,1)}
      58:{1,4,5}:{(50,1),(52,1),(53,1),(62,1)}
      59:{1,2,4,6}:{(51,1),(52,1),(56,1),(62,1),(63,1)}
      60:{2,3,4}:{(54,1),(63,1)}
      61:{1,2,3,5}:{(54,1),(55,1),(56,1),(62,1),(63,1)}
      62:{1,2,5}:{(57,1),(58,1),(59,1)}
      63:{1,2,4}:{(60,1),(61,1)}

560 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

561 :  0:{1,2,4,5,6}:{(1,1),(6,1),(25,1),(27,1),(42,1),(45,1),(55,1),(56,1)}
       1:{2,3,5,6}:{(0,1),(4,1),(16,1),(52,1),(59,1)}
       2:{1,2,3,4,6}:{(5,1),(19,1),(23,1),(39,1),(40,1),(43,1),(46,1),(57,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(23,1),(24,1),(25,1)}
       4:{3,4,6}:{(1,1),(6,1),(8,1),(55,1)}
       5:{1,2,3,5}:{(2,1),(9,1),(28,1),(50,1),(59,1)}
       6:{1,4,6}:{(3,1),(4,1),(14,1)}
       7:{2,3,4,6}:{(4,1),(13,1),(16,1),(38,1),(52,1),(53,1)}
       8:{3,4,5}:{(4,1),(14,1),(16,1),(53,1),(58,1),(59,1)}
       9:{1,4,5}:{(5,1),(17,1),(19,1),(46,1)}
      10:{1,2,3,5,6}:{(5,1),(19,1),(40,1),(41,1),(42,1)}
      11:{1,3,4,5}:{(17,1),(20,1),(21,1),(24,1),(46,1),(56,1)}
      12:{1,3,4,6}:{(6,1),(23,1),(24,1),(46,1),(57,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(23,1),(25,1),(46,1)}
      14:{1,4,5}:{(6,1),(8,1),(24,1),(25,1),(46,1)}
      15:{3,4,5,6}:{(8,1),(22,1),(26,1),(41,1),(55,1),(57,1)}
      16:{2,3,5}:{(7,1),(8,1),(25,1),(27,1)}
      17:{3,4,5}:{(9,1),(28,1),(29,1),(53,1),(58,1),(59,1)}
      18:{1,2,4,5}:{(9,1),(28,1),(30,1),(32,1),(50,1),(58,1)}
      19:{1,4,6}:{(9,1),(10,1),(29,1)}
      20:{1,2,3,5}:{(11,1),(28,1),(32,1),(33,1),(50,1)}
      21:{1,3,4,6}:{(11,1),(29,1),(33,1),(34,1),(51,1)}
      22:{1,4,5,6}:{(14,1),(15,1),(34,1),(35,1),(51,1)}
      23:{1,2,3,6}:{(12,1),(13,1),(36,1),(52,1)}
      24:{1,3,5}:{(12,1),(14,1),(59,1)}
      25:{1,2,5}:{(13,1),(14,1),(16,1)}
      26:{2,3,5,6}:{(15,1),(16,1),(35,1),(38,1),(52,1)}
      27:{2,4,5}:{(16,1),(38,1),(58,1)}
      28:{2,3,5}:{(17,1),(18,1),(39,1),(40,1)}
      29:{3,4,6}:{(17,1),(19,1),(40,1),(41,1),(55,1)}
      30:{1,2,4,6}:{(18,1),(19,1),(40,1),(42,1),(55,1)}
      31:{1,4,5,6}:{(19,1),(41,1),(42,1),(55,1),(56,1)}
      32:{1,2,4}:{(20,1),(39,1),(46,1)}
      33:{1,2,3,6}:{(20,1),(21,1),(40,1),(43,1)}
      34:{1,3,5,6}:{(21,1),(22,1),(24,1),(41,1)}
      35:{1,2,5,6}:{(22,1),(25,1),(26,1),(45,1)}
      36:{1,2,3,5}:{(23,1),(24,1),(25,1),(46,1),(47,1)}
      37:{1,2,4,5}:{(25,1),(27,1),(45,1),(46,1),(47,1),(56,1)}
      38:{2,4,6}:{(26,1),(27,1),(55,1)}
      39:{2,3,4}:{(28,1),(32,1),(53,1)}
      40:{2,3,6}:{(28,1),(29,1),(30,1)}
      41:{3,5,6}:{(29,1),(31,1),(59,1)}
      42:{1,2,5,6}:{(30,1),(31,1),(49,1),(50,1)}
      43:{1,2,4,6}:{(32,1),(33,1),(48,1),(50,1),(51,1)}
      44:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(36,1),(49,1),(50,1),(51,1),(52,1),(59,1)}
      45:{1,2,4,6}:{(35,1),(37,1),(38,1),(51,1),(52,1)}
      46:{1,4}:{(36,1),(53,1)}
      47:{2,3,5}:{(37,1),(52,1),(53,1),(59,1)}
      48:{2,3,4,6}:{(39,1),(40,1),(43,1),(54,1),(55,1),(57,1)}
      49:{2,3,5,6}:{(40,1),(41,1),(42,1),(54,1),(55,1)}
      50:{1,2,5}:{(43,1),(54,1),(56,1)}
      51:{1,4,6}:{(44,1),(46,1),(55,1),(56,1),(57,1)}
      52:{2,3,6}:{(45,1),(47,1),(57,1)}
      53:{3,4}:{(46,1),(47,1)}
      54:{2,3,5}:{(48,1),(50,1),(58,1),(59,1)}
      55:{4,6}:{(49,1),(58,1)}
      56:{1,4,5}:{(50,1),(51,1),(58,1),(59,1)}
      57:{3,4,6}:{(51,1),(52,1),(53,1),(59,1)}
      58:{4,5}:{(54,1),(55,1)}
      59:{3,5}:{(56,1),(57,1)}

562 :  0:{1,3,4,5,6}:{(1,1),(9,1),(17,1),(27,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(17,1)}
       3:{2,3,4,6}:{(2,1),(6,1),(14,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(11,1)}
       5:{1,2,3,4,6}:{(3,1),(8,1),(17,1),(25,1),(26,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,4,5,6}:{(4,1),(10,1),(17,1),(28,1),(29,1)}
       8:{1,2,3,5}:{(5,1),(6,1),(11,1)}
       9:{3,4,5}:{(6,1),(11,1),(14,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(14,1)}
      11:{1,4,5}:{(8,1),(9,1),(17,1)}
      12:{1,2,3,5,6}:{(8,1),(10,1),(17,1),(26,1),(27,1),(28,1)}
      13:{2,3,4,5}:{(9,1),(16,1),(18,1),(43,1)}
      14:{3,4,6}:{(9,1),(10,1),(17,1)}
      15:{1,3,4,5}:{(11,1),(20,1),(21,1),(39,1)}
      16:{1,2,4,5}:{(11,1),(13,1),(20,1),(22,1),(39,1)}
      17:{1,4,6}:{(11,1),(12,1),(14,1)}
      18:{2,3,4,6}:{(13,1),(14,1),(22,1),(24,1),(40,1)}
      19:{3,4,5,6}:{(14,1),(23,1),(24,1),(40,1)}
      20:{1,2,3,5}:{(15,1),(16,1),(25,1),(26,1)}
      21:{1,3,4,6}:{(15,1),(17,1),(26,1),(27,1),(36,1)}
      22:{1,2,4,6}:{(16,1),(17,1),(18,1),(26,1),(28,1),(36,1)}
      23:{1,4,5,6}:{(17,1),(19,1),(27,1),(28,1),(36,1)}
      24:{2,3,5,6}:{(18,1),(19,1),(28,1),(29,1)}
      25:{1,2,3,4}:{(20,1)}
      26:{1,2,3,6}:{(20,1),(21,1),(22,1)}
      27:{1,3,5,6}:{(21,1),(23,1)}
      28:{1,2,5,6}:{(22,1),(23,1),(24,1)}
      29:{2,4,5,6}:{(24,1)}
      30:{1,3,4,5,6}:{(27,1),(34,1),(36,1),(43,1)}
      31:{1,2,3,4,6}:{(25,1),(26,1),(35,1),(36,1),(42,1)}
      32:{1,2,3,5,6}:{(26,1),(27,1),(28,1),(35,1),(36,1),(37,1)}
      33:{1,2,4,5,6}:{(28,1),(29,1),(36,1),(37,1),(41,1)}
      34:{1,2,3,5,6}:{(30,1),(38,1),(44,1)}
      35:{1,2,3,5}:{(31,1),(39,1),(44,1)}
      36:{1,4,6}:{(32,1),(39,1),(40,1)}
      37:{2,3,5,6}:{(33,1),(40,1),(44,1)}
      38:{1,2,4,6}:{(34,1),(36,1),(41,1),(42,1)}
      39:{1,4,5}:{(35,1),(36,1),(43,1)}
      40:{3,4,6}:{(36,1),(37,1),(43,1)}
      41:{1,2,4,5}:{(38,1),(39,1),(44,1)}
      42:{2,3,4,6}:{(38,1),(40,1),(44,1)}
      43:{3,4,5}:{(39,1),(40,1),(44,1)}
      44:{2,3,5}:{(41,1),(42,1),(43,1)}

563 :  0:{1,2,3,4}:{(3,1),(20,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(17,1),(45,1)}
       2:{3,4,5,6}:{(6,1),(7,1),(39,1),(46,1)}
       3:{1,2,3,5}:{(0,1),(9,1),(10,1),(28,1)}
       4:{1,2,3,5}:{(1,1),(11,1),(12,1),(28,1),(33,1)}
       5:{1,3,4,6}:{(1,1),(12,1),(13,1),(29,1),(34,1),(69,1)}
       6:{1,4,5,6}:{(2,1),(13,1),(14,1),(34,1),(51,1),(52,1)}
       7:{2,3,5,6}:{(2,1),(14,1),(15,1),(36,1),(37,1)}
       8:{2,4,5,6}:{(16,1),(24,1)}
       9:{1,4,5}:{(3,1),(17,1),(19,1)}
      10:{1,2,3,6}:{(3,1),(19,1),(41,1)}
      11:{1,2,4}:{(4,1),(20,1)}
      12:{1,2,3,6}:{(4,1),(5,1),(21,1),(41,1),(76,1)}
      13:{1,3,5,6}:{(5,1),(6,1),(42,1),(60,1)}
      14:{1,2,5,6}:{(6,1),(7,1),(23,1),(49,1),(61,1)}
      15:{2,4,6}:{(7,1),(24,1)}
      16:{2,3,5,6}:{(8,1),(26,1),(27,1),(37,1)}
      17:{3,4,5}:{(9,1),(28,1),(29,1),(55,1)}
      18:{1,2,4,5}:{(9,1),(11,1),(28,1),(30,1),(33,1),(55,1)}
      19:{1,4,6}:{(9,1),(10,1),(29,1),(31,1)}
      20:{2,3,4}:{(11,1),(28,1)}
      21:{1,2,4,6}:{(11,1),(12,1),(32,1),(33,1),(34,1),(75,1),(80,1)}
      22:{1,2,3,5,6}:{(12,1),(13,1),(14,1),(33,1),(34,1),(36,1),(53,1),(56,1),(59,1),(72,1),(80,1)}
      23:{1,2,4,6}:{(14,1),(15,1),(34,1),(35,1),(36,1),(70,1),(80,1)}
      24:{2,4,5}:{(15,1),(37,1)}
      25:{2,3,4,6}:{(15,1),(26,1),(36,1),(37,1),(38,1),(58,1)}
      26:{3,4,6}:{(16,1),(39,1),(40,1)}
      27:{1,2,5,6}:{(16,1),(40,1),(49,1)}
      28:{2,3,5}:{(17,1),(18,1),(20,1),(41,1)}
      29:{3,4,6}:{(17,1),(19,1),(41,1),(42,1),(62,1)}
      30:{1,2,4,6}:{(18,1),(19,1),(41,1),(43,1),(62,1)}
      31:{1,5,6}:{(19,1),(42,1)}
      32:{2,3,4,6}:{(20,1),(21,1),(41,1),(44,1),(46,1),(62,1),(67,1),(77,1)}
      33:{1,2,5}:{(21,1),(44,1),(45,1)}
      34:{1,4,6}:{(22,1),(45,1),(46,1),(62,1),(68,1)}
      35:{1,2,4,5}:{(23,1),(24,1),(45,1),(47,1),(49,1),(64,1),(68,1),(79,1)}
      36:{2,3,6}:{(23,1),(46,1),(47,1)}
      37:{2,3,5}:{(24,1),(25,1),(39,1),(49,1)}
      38:{1,2,4,6}:{(25,1),(40,1),(48,1),(49,1),(68,1)}
      39:{3,4,5}:{(26,1),(37,1),(51,1),(58,1)}
      40:{1,4,6}:{(26,1),(27,1),(50,1),(51,1)}
      41:{2,3,6}:{(28,1),(29,1),(30,1)}
      42:{3,5,6}:{(29,1),(31,1),(52,1)}
      43:{1,2,5,6}:{(30,1),(31,1),(33,1),(53,1),(54,1),(80,1)}
      44:{2,3,5}:{(32,1),(33,1),(55,1),(56,1)}
      45:{1,4,5}:{(33,1),(34,1),(55,1),(56,1)}
      46:{3,4,6}:{(34,1),(36,1),(56,1),(58,1)}
      47:{2,3,5}:{(35,1),(36,1),(56,1),(58,1)}
      48:{1,2,3,6}:{(36,1),(38,1),(50,1),(57,1),(59,1),(80,1)}
      49:{1,2,5}:{(37,1),(38,1),(51,1)}
      50:{1,3,6}:{(40,1),(60,1)}
      51:{1,4,5}:{(39,1),(40,1),(49,1),(60,1),(68,1)}
      52:{4,5,6}:{(42,1),(61,1),(62,1)}
      53:{2,3,5,6}:{(41,1),(42,1),(43,1),(44,1),(61,1),(62,1),(63,1),(77,1)}
      54:{1,4,5,6}:{(43,1),(45,1),(62,1),(63,1),(78,1)}
      55:{4,5}:{(44,1),(62,1)}
      56:{3,5}:{(45,1),(46,1)}
      57:{1,3,4,6}:{(46,1),(48,1),(66,1),(68,1),(78,1)}
      58:{3,4}:{(47,1),(68,1)}
      59:{1,2,3,5}:{(47,1),(48,1),(49,1),(60,1),(66,1),(68,1),(76,1),(79,1)}
      60:{1,3,5}:{(50,1),(51,1),(69,1)}
      61:{2,5,6}:{(52,1),(70,1)}
      62:{4,6}:{(53,1),(55,1)}
      63:{3,5,6}:{(54,1),(56,1),(71,1)}
      64:{2,4,5}:{(55,1),(70,1),(73,1)}
      65:{3,4,5}:{(55,1),(56,1),(58,1),(71,1),(73,1),(74,1)}
      66:{1,3,5}:{(56,1),(57,1),(74,1)}
      67:{2,3,4}:{(58,1),(73,1),(75,1)}
      68:{1,4}:{(58,1),(59,1)}
      69:{1,3,4}:{(60,1),(68,1),(76,1)}
      70:{2,4,6}:{(61,1),(62,1),(64,1),(77,1)}
      71:{3,4,6}:{(62,1),(63,1),(65,1),(77,1),(78,1)}
      72:{1,3,5,6}:{(63,1),(66,1),(78,1)}
      73:{2,3,5}:{(64,1),(65,1),(67,1),(77,1),(79,1)}
      74:{1,4,5}:{(65,1),(66,1),(68,1),(78,1),(79,1)}
      75:{1,2,4}:{(67,1),(68,1),(76,1),(79,1)}
      76:{1,2,3}:{(69,1),(75,1)}
      77:{2,3,6}:{(70,1),(71,1),(73,1),(80,1)}
      78:{1,4,6}:{(71,1),(72,1),(74,1),(80,1)}
      79:{1,2,5}:{(73,1),(74,1),(75,1),(80,1)}
      80:{1,2,6}:{(77,1),(78,1),(79,1)}

564 :  0:{1,2,4,5,6}:{(1,1),(5,1),(13,1),(15,1),(29,1),(49,1),(52,1),(58,1)}
       1:{2,3,5,6}:{(0,1),(3,1),(8,1),(38,1),(54,1)}
       2:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(15,1),(17,1)}
       3:{3,4,6}:{(1,1),(5,1),(6,1),(58,1)}
       4:{2,3,4,6}:{(3,1),(7,1),(8,1),(21,1),(37,1),(38,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{3,4,5}:{(3,1),(8,1),(10,1),(37,1),(54,1),(59,1)}
       7:{1,2,4,6}:{(4,1),(5,1),(14,1),(15,1),(30,1)}
       8:{2,3,5}:{(4,1),(6,1),(13,1),(15,1)}
       9:{1,3,4,6}:{(5,1),(14,1),(17,1),(30,1),(47,1)}
      10:{1,4,5}:{(5,1),(6,1),(15,1),(17,1),(30,1)}
      11:{3,4,5,6}:{(6,1),(16,1),(18,1),(47,1),(51,1),(58,1)}
      12:{1,2,3,4,6}:{(14,1),(19,1),(30,1),(36,1),(46,1),(47,1),(48,1),(50,1)}
      13:{2,4,5}:{(8,1),(21,1),(59,1)}
      14:{1,2,3,6}:{(7,1),(9,1),(22,1),(38,1)}
      15:{1,2,5}:{(7,1),(8,1),(10,1)}
      16:{2,3,5,6}:{(8,1),(11,1),(21,1),(23,1),(38,1)}
      17:{1,3,5}:{(9,1),(10,1),(54,1)}
      18:{1,4,5,6}:{(10,1),(11,1),(23,1),(25,1),(40,1)}
      19:{1,2,3,5}:{(12,1),(26,1),(42,1),(54,1),(55,1)}
      20:{1,2,4,5}:{(13,1),(15,1),(28,1),(29,1),(30,1),(49,1)}
      21:{2,4,6}:{(13,1),(16,1),(58,1)}
      22:{1,2,3,5}:{(14,1),(15,1),(17,1),(28,1),(30,1)}
      23:{1,2,5,6}:{(15,1),(16,1),(18,1),(29,1)}
      24:{1,3,4,5}:{(17,1),(30,1),(32,1),(33,1),(34,1),(49,1)}
      25:{1,3,5,6}:{(17,1),(18,1),(33,1),(51,1)}
      26:{1,4,5}:{(19,1),(30,1),(34,1),(36,1)}
      27:{1,2,3,5,6}:{(19,1),(36,1),(50,1),(51,1),(52,1)}
      28:{2,3,5}:{(20,1),(37,1),(38,1),(54,1)}
      29:{1,2,4,6}:{(20,1),(21,1),(23,1),(38,1),(40,1)}
      30:{1,4}:{(22,1),(37,1)}
      31:{1,2,3,5,6}:{(22,1),(23,1),(25,1),(38,1),(40,1),(41,1),(54,1),(55,1),(56,1)}
      32:{1,2,3,5}:{(24,1),(39,1),(41,1),(42,1),(55,1)}
      33:{1,3,4,6}:{(24,1),(25,1),(40,1),(41,1),(43,1)}
      34:{3,4,5}:{(26,1),(37,1),(42,1),(43,1),(54,1),(59,1)}
      35:{1,2,4,5}:{(26,1),(39,1),(42,1),(44,1),(55,1),(59,1)}
      36:{1,4,6}:{(26,1),(27,1),(43,1)}
      37:{3,4}:{(28,1),(30,1)}
      38:{2,3,6}:{(28,1),(29,1),(47,1)}
      39:{1,2,4}:{(30,1),(32,1),(46,1)}
      40:{1,4,6}:{(30,1),(31,1),(47,1),(49,1),(58,1)}
      41:{1,2,3,6}:{(32,1),(33,1),(48,1),(50,1)}
      42:{2,3,5}:{(34,1),(35,1),(46,1),(50,1)}
      43:{3,4,6}:{(34,1),(36,1),(50,1),(51,1),(58,1)}
      44:{1,2,4,6}:{(35,1),(36,1),(50,1),(52,1),(58,1)}
      45:{1,4,5,6}:{(36,1),(49,1),(51,1),(52,1),(58,1)}
      46:{2,3,4}:{(37,1),(39,1),(42,1)}
      47:{3,4,6}:{(37,1),(38,1),(40,1),(54,1)}
      48:{1,2,4,6}:{(39,1),(40,1),(41,1),(53,1),(55,1)}
      49:{1,4,5}:{(40,1),(54,1),(55,1),(59,1)}
      50:{2,3,6}:{(42,1),(43,1),(44,1)}
      51:{3,5,6}:{(43,1),(45,1),(54,1)}
      52:{1,2,5,6}:{(44,1),(45,1),(55,1),(56,1)}
      53:{2,3,4,6}:{(46,1),(47,1),(48,1),(50,1),(57,1),(58,1)}
      54:{3,5}:{(47,1),(49,1)}
      55:{1,2,5}:{(48,1),(49,1),(57,1)}
      56:{2,3,5,6}:{(50,1),(51,1),(52,1),(57,1),(58,1)}
      57:{2,3,5}:{(53,1),(54,1),(55,1),(59,1)}
      58:{4,6}:{(56,1),(59,1)}
      59:{4,5}:{(57,1),(58,1)}

565 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

566 :  0:{2,3,4,5}:{(1,1),(2,1),(27,1)}
       1:{1,2,4,5}:{(0,1),(5,1),(6,1),(33,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(6,1),(18,1)}
       3:{2,4,5,6}:{(4,1),(54,1)}
       4:{2,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1),(11,1),(24,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(22,1)}
       7:{1,2,4,5,6}:{(3,1),(9,1),(12,1),(22,1),(43,1),(47,1),(57,1),(58,1)}
       8:{3,4,5,6}:{(4,1),(13,1),(18,1),(54,1),(62,1)}
       9:{1,2,5,6}:{(4,1),(6,1),(13,1)}
      10:{1,3,4}:{(5,1)}
      11:{1,2,3,6}:{(5,1),(6,1),(17,1)}
      12:{2,3,5,6}:{(7,1),(18,1),(37,1),(62,1),(63,1)}
      13:{1,4,5,6}:{(8,1),(9,1),(19,1),(22,1)}
      14:{1,3,4,5}:{(10,1),(20,1),(21,1),(24,1),(44,1)}
      15:{1,2,3,5,6}:{(9,1),(11,1),(12,1),(19,1),(22,1),(24,1),(38,1),(43,1)}
      16:{1,2,3,4}:{(10,1),(20,1)}
      17:{1,3,4,6}:{(10,1),(11,1),(22,1),(24,1)}
      18:{3,4,6}:{(12,1),(22,1),(27,1)}
      19:{1,3,5,6}:{(13,1),(28,1),(62,1)}
      20:{1,2,3,5}:{(14,1),(16,1),(29,1),(30,1)}
      21:{1,3,4,6}:{(14,1),(30,1),(31,1),(51,1)}
      22:{1,4,6}:{(15,1),(18,1),(33,1)}
      23:{1,2,3,4,6}:{(16,1),(17,1),(30,1),(32,1),(34,1),(51,1),(61,1),(63,1)}
      24:{1,3,5}:{(17,1),(33,1)}
      25:{2,3,4,5}:{(29,1),(35,1),(53,1)}
      26:{2,3,4,6}:{(18,1),(32,1),(37,1),(55,1),(61,1),(63,1)}
      27:{3,4,5}:{(18,1),(33,1),(37,1)}
      28:{1,3,4,6}:{(19,1),(22,1),(38,1),(39,1),(59,1)}
      29:{1,2,4,5}:{(20,1),(25,1),(40,1),(44,1)}
      30:{1,2,3,6}:{(20,1),(21,1),(40,1)}
      31:{1,3,5,6}:{(21,1),(24,1),(41,1)}
      32:{1,2,4,6}:{(22,1),(26,1),(38,1),(43,1),(56,1)}
      33:{1,4,5}:{(22,1),(24,1),(27,1),(43,1)}
      34:{1,2,3,5}:{(23,1),(24,1),(43,1),(44,1),(60,1)}
      35:{2,3,4,6}:{(25,1),(40,1),(45,1),(59,1)}
      36:{3,4,5,6}:{(27,1),(41,1),(46,1),(59,1)}
      37:{2,3,5}:{(26,1),(27,1),(43,1),(47,1)}
      38:{1,2,3,6}:{(28,1),(32,1),(48,1),(63,1)}
      39:{1,3,4,5}:{(28,1),(33,1),(48,1),(53,1)}
      40:{1,2,4,6}:{(29,1),(30,1),(35,1),(49,1),(51,1)}
      41:{1,4,5,6}:{(31,1),(33,1),(36,1),(50,1),(51,1)}
      42:{1,2,3,5,6}:{(30,1),(31,1),(34,1),(49,1),(50,1),(51,1),(62,1),(63,1)}
      43:{1,2,5}:{(32,1),(33,1),(37,1)}
      44:{1,4,5}:{(34,1),(51,1),(53,1)}
      45:{2,3,5,6}:{(35,1),(49,1),(54,1),(62,1)}
      46:{2,3,5,6}:{(36,1),(37,1),(50,1),(55,1),(63,1)}
      47:{2,4,5}:{(37,1),(55,1)}
      48:{1,2,3,5}:{(38,1),(39,1),(43,1),(56,1),(60,1)}
      49:{1,2,5,6}:{(40,1),(45,1),(57,1)}
      50:{1,2,5,6}:{(41,1),(43,1),(46,1),(58,1)}
      51:{1,4,6}:{(42,1),(44,1),(59,1)}
      52:{1,2,4,5}:{(43,1),(44,1),(47,1),(56,1),(58,1),(60,1)}
      53:{3,4,5}:{(44,1),(59,1),(60,1)}
      54:{4,5,6}:{(45,1)}
      55:{2,4,6}:{(46,1),(47,1)}
      56:{1,2,4}:{(48,1),(61,1)}
      57:{1,4,5,6}:{(49,1),(51,1),(54,1),(62,1)}
      58:{1,2,4,6}:{(50,1),(51,1),(52,1),(55,1),(63,1)}
      59:{3,4,6}:{(51,1),(53,1),(62,1),(63,1)}
      60:{2,3,5}:{(52,1),(53,1),(61,1),(63,1)}
      61:{2,3,4}:{(56,1),(60,1)}
      62:{3,5,6}:{(57,1),(59,1)}
      63:{2,3,6}:{(58,1),(59,1),(60,1)}

567 :  0:{1,2,3,4,6}:{(1,1),(6,1),(14,1),(17,1),(33,1),(46,1),(52,1),(57,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(9,1),(43,1),(56,1)}
       2:{1,4,5}:{(1,1),(4,1),(6,1),(57,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(18,1),(19,1)}
       4:{3,4,5}:{(2,1),(9,1),(10,1),(44,1),(56,1),(59,1)}
       5:{1,2,4,5}:{(2,1),(9,1),(11,1),(23,1),(43,1),(44,1)}
       6:{1,4,6}:{(2,1),(3,1),(10,1)}
       7:{1,2,4,5,6}:{(13,1),(19,1),(28,1),(36,1),(48,1),(49,1),(50,1),(51,1)}
       8:{1,3,4,5}:{(4,1),(15,1),(16,1),(47,1),(51,1),(57,1)}
       9:{2,3,5}:{(4,1),(5,1),(14,1),(17,1)}
      10:{3,4,6}:{(4,1),(6,1),(17,1),(18,1),(36,1)}
      11:{1,2,4,6}:{(5,1),(6,1),(17,1),(19,1),(36,1)}
      12:{1,4,5,6}:{(6,1),(18,1),(19,1),(36,1),(51,1)}
      13:{2,3,5,6}:{(7,1),(21,1),(40,1),(55,1),(56,1)}
      14:{2,3,4}:{(9,1),(23,1),(59,1)}
      15:{1,2,3,5}:{(8,1),(9,1),(23,1),(25,1),(43,1)}
      16:{1,3,4,6}:{(8,1),(10,1),(25,1),(26,1),(45,1)}
      17:{2,3,6}:{(9,1),(10,1),(11,1)}
      18:{3,5,6}:{(10,1),(12,1),(56,1)}
      19:{1,2,5,6}:{(11,1),(12,1),(27,1),(43,1)}
      20:{1,2,3,5,6}:{(13,1),(28,1),(46,1),(47,1),(48,1)}
      21:{3,4,6}:{(13,1),(28,1),(30,1),(36,1)}
      22:{3,4,5,6}:{(18,1),(30,1),(31,1),(32,1),(36,1),(52,1)}
      23:{1,2,4}:{(14,1),(15,1),(57,1)}
      24:{2,3,4,6}:{(14,1),(17,1),(33,1),(34,1),(36,1),(52,1)}
      25:{1,2,3,6}:{(15,1),(16,1),(17,1),(33,1)}
      26:{1,3,5,6}:{(16,1),(18,1),(31,1),(47,1)}
      27:{2,3,5,6}:{(17,1),(18,1),(19,1),(34,1),(36,1)}
      28:{1,4,6}:{(20,1),(21,1),(39,1)}
      29:{2,3,4,6}:{(21,1),(38,1),(40,1),(42,1),(55,1),(59,1)}
      30:{3,4,5}:{(21,1),(39,1),(40,1),(44,1),(56,1),(59,1)}
      31:{1,4,5,6}:{(22,1),(26,1),(39,1),(41,1),(45,1)}
      32:{2,3,5,6}:{(22,1),(40,1),(41,1),(42,1),(55,1)}
      33:{1,2,4,6}:{(23,1),(24,1),(25,1),(43,1),(45,1)}
      34:{2,3,5}:{(24,1),(43,1),(44,1),(56,1)}
      35:{1,2,3,5,6}:{(25,1),(26,1),(27,1),(41,1),(43,1),(45,1),(53,1),(55,1),(56,1)}
      36:{4,6}:{(27,1),(44,1)}
      37:{1,3,4,6}:{(28,1),(46,1),(47,1),(52,1),(57,1)}
      38:{1,2,4,6}:{(28,1),(29,1),(46,1),(48,1),(57,1)}
      39:{1,4,5}:{(28,1),(30,1),(47,1),(48,1),(57,1)}
      40:{2,3,5}:{(29,1),(30,1),(48,1),(49,1)}
      41:{1,2,5,6}:{(31,1),(32,1),(48,1),(50,1)}
      42:{2,4,6}:{(32,1),(36,1),(49,1)}
      43:{1,2,5}:{(33,1),(34,1),(51,1)}
      44:{4,5}:{(34,1),(36,1)}
      45:{1,4,6}:{(35,1),(36,1),(51,1),(52,1),(57,1)}
      46:{1,2,3,6}:{(37,1),(38,1),(53,1),(55,1)}
      47:{1,3,5}:{(37,1),(39,1),(56,1)}
      48:{1,2,5}:{(38,1),(39,1),(40,1)}
      49:{2,4,5}:{(40,1),(42,1),(44,1)}
      50:{1,2,4,6}:{(41,1),(42,1),(45,1),(54,1),(55,1)}
      51:{1,4,5}:{(43,1),(44,1),(45,1),(56,1)}
      52:{3,4,6}:{(45,1),(55,1),(56,1),(59,1)}
      53:{1,2,3,5}:{(46,1),(47,1),(48,1),(57,1),(58,1)}
      54:{1,2,4,5}:{(48,1),(49,1),(50,1),(51,1),(57,1),(58,1)}
      55:{2,3,6}:{(50,1),(52,1),(58,1)}
      56:{3,5}:{(51,1),(52,1)}
      57:{1,4}:{(53,1),(59,1)}
      58:{2,3,5}:{(54,1),(55,1),(56,1),(59,1)}
      59:{3,4}:{(57,1),(58,1)}

568 :  0:{1,3,4,5}:{(2,1),(3,1),(13,1),(61,1),(63,1)}
       1:{1,2,3,4}:{(2,1),(63,1)}
       2:{1,2,3,5}:{(0,1),(1,1),(5,1),(6,1)}
       3:{1,3,4,6}:{(0,1),(6,1),(7,1),(18,1)}
       4:{1,2,3,4,6}:{(1,1),(6,1),(8,1),(18,1),(30,1),(33,1),(47,1),(58,1)}
       5:{1,2,4,5}:{(2,1),(9,1),(10,1),(13,1)}
       6:{1,2,3,6}:{(2,1),(3,1),(10,1)}
       7:{1,3,5,6}:{(3,1),(11,1),(61,1)}
       8:{1,2,3,5}:{(4,1),(13,1),(26,1),(53,1),(61,1)}
       9:{2,3,4,5}:{(5,1),(14,1),(20,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(14,1),(16,1),(18,1)}
      11:{1,4,5,6}:{(7,1),(15,1),(17,1),(18,1),(57,1)}
      12:{1,2,3,5,6}:{(6,1),(7,1),(8,1),(16,1),(17,1),(18,1),(32,1),(33,1)}
      13:{1,4,5}:{(8,1),(18,1),(20,1)}
      14:{2,3,4,6}:{(9,1),(10,1),(21,1),(25,1)}
      15:{3,4,5,6}:{(11,1),(22,1),(25,1),(52,1)}
      16:{1,2,5,6}:{(10,1),(21,1),(23,1)}
      17:{1,2,5,6}:{(11,1),(22,1),(24,1),(53,1)}
      18:{1,4,6}:{(12,1),(13,1),(25,1)}
      19:{1,2,4,5}:{(13,1),(24,1),(26,1),(38,1),(40,1),(53,1)}
      20:{3,4,5}:{(13,1),(25,1),(26,1)}
      21:{2,3,5,6}:{(14,1),(16,1),(28,1),(32,1)}
      22:{2,3,5,6}:{(15,1),(17,1),(29,1),(33,1),(46,1)}
      23:{1,4,5,6}:{(16,1),(18,1),(28,1),(32,1)}
      24:{1,2,4,6}:{(17,1),(18,1),(19,1),(29,1),(33,1)}
      25:{3,4,6}:{(18,1),(20,1),(32,1),(33,1)}
      26:{2,3,5}:{(19,1),(20,1),(30,1),(33,1)}
      27:{1,3,4,5}:{(20,1),(34,1),(35,1),(57,1)}
      28:{4,5,6}:{(21,1)}
      29:{2,4,6}:{(22,1),(38,1)}
      30:{2,3,4}:{(26,1),(40,1)}
      31:{1,2,4,5,6}:{(23,1),(24,1),(36,1),(38,1),(41,1),(51,1),(53,1),(54,1)}
      32:{3,5,6}:{(23,1),(25,1)}
      33:{2,3,6}:{(24,1),(25,1),(26,1)}
      34:{1,3,4,6}:{(25,1),(27,1),(42,1),(43,1),(54,1)}
      35:{1,2,3,5}:{(26,1),(27,1),(40,1),(43,1),(53,1)}
      36:{2,4,5,6}:{(28,1),(44,1)}
      37:{3,4,5,6}:{(28,1),(32,1),(44,1),(45,1),(48,1)}
      38:{2,4,5}:{(29,1),(46,1)}
      39:{2,3,4,6}:{(29,1),(30,1),(33,1),(46,1),(47,1),(48,1)}
      40:{1,2,4}:{(30,1),(35,1)}
      41:{2,3,5,6}:{(31,1),(32,1),(33,1),(46,1),(48,1)}
      42:{1,3,5,6}:{(32,1),(34,1),(45,1)}
      43:{1,2,3,6}:{(33,1),(34,1),(35,1),(47,1)}
      44:{2,3,5,6}:{(36,1),(37,1),(50,1),(51,1)}
      45:{1,4,5,6}:{(37,1),(42,1),(51,1),(54,1)}
      46:{2,3,5}:{(38,1),(39,1),(52,1),(53,1)}
      47:{1,2,4,6}:{(39,1),(40,1),(43,1),(53,1),(54,1)}
      48:{3,4,6}:{(41,1),(52,1),(54,1)}
      49:{1,2,3,5,6}:{(41,1),(42,1),(43,1),(51,1),(53,1),(54,1),(60,1),(61,1)}
      50:{2,3,4,6}:{(44,1),(48,1),(55,1),(56,1)}
      51:{1,2,5,6}:{(44,1),(45,1),(56,1)}
      52:{3,4,5}:{(46,1),(48,1),(57,1)}
      53:{1,2,5}:{(46,1),(47,1),(57,1)}
      54:{1,4,6}:{(48,1),(49,1),(57,1)}
      55:{2,3,4,5}:{(50,1),(52,1),(59,1)}
      56:{1,2,4,6}:{(50,1),(51,1),(54,1),(59,1),(60,1)}
      57:{1,4,5}:{(52,1),(53,1),(54,1),(61,1)}
      58:{1,3,4,6}:{(54,1),(60,1),(61,1),(63,1)}
      59:{1,2,4,5}:{(55,1),(56,1),(57,1),(62,1)}
      60:{1,2,3,6}:{(56,1),(58,1),(62,1)}
      61:{1,3,5}:{(57,1),(58,1)}
      62:{1,2,3,5}:{(59,1),(60,1),(61,1),(63,1)}
      63:{1,3,4}:{(62,1)}

569 :  0:{1,2,3,4,5}:{(1,1),(11,1)}
       1:{1,2,3,4,6}:{(0,1),(2,1),(9,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(6,1)}
       3:{1,4,5,6}:{(2,1),(5,1)}
       4:{1,2,4,5,6}:{(3,1),(6,1),(10,1)}
       5:{3,4,5,6}:{(3,1),(6,1)}
       6:{2,3,5,6}:{(4,1),(5,1),(9,1)}
       7:{1,3,4,5,6}:{(5,1),(8,1),(17,1)}
       8:{1,2,3,5,6}:{(6,1),(7,1),(10,1),(15,1)}
       9:{2,3,4,6}:{(6,1),(10,1),(11,1)}
      10:{1,2,4,6}:{(8,1),(9,1),(13,1)}
      11:{2,3,4,5}:{(9,1),(13,1)}
      12:{1,2,3,4,6}:{(10,1),(15,1),(19,1)}
      13:{1,2,4,5}:{(10,1),(11,1),(15,1)}
      14:{2,3,4,5,6}:{(11,1),(16,1)}
      15:{1,2,3,5}:{(12,1),(13,1),(17,1)}
      16:{1,2,4,5,6}:{(13,1),(14,1),(18,1)}
      17:{1,3,4,5}:{(15,1),(19,1)}
      18:{1,2,3,5,6}:{(15,1),(16,1),(19,1)}
      19:{1,3,4,6}:{(17,1),(18,1)}

570 :  0:{2,3,4,5}:{(1,1),(2,1),(42,1)}
       1:{1,2,4,5}:{(0,1),(5,1),(6,1),(37,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(6,1),(32,1)}
       3:{3,4,5,6}:{(4,1),(7,1),(32,1),(39,1),(53,1)}
       4:{2,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1),(11,1),(28,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(26,1)}
       7:{1,4,5,6}:{(3,1),(9,1),(13,1),(26,1)}
       8:{2,4,5,6}:{(4,1),(39,1)}
       9:{1,2,5,6}:{(4,1),(6,1),(7,1)}
      10:{1,3,4}:{(5,1)}
      11:{1,2,3,6}:{(5,1),(6,1),(19,1)}
      12:{2,3,4,5}:{(16,1),(20,1),(55,1)}
      13:{1,3,5,6}:{(7,1),(21,1),(53,1)}
      14:{1,2,4,5,6}:{(8,1),(9,1),(22,1),(26,1),(45,1),(46,1),(58,1),(59,1)}
      15:{1,3,4,5}:{(10,1),(23,1),(24,1),(28,1),(47,1)}
      16:{1,2,4,5}:{(12,1),(23,1),(25,1),(47,1)}
      17:{1,2,3,5,6}:{(9,1),(11,1),(13,1),(22,1),(26,1),(28,1),(30,1),(46,1)}
      18:{1,2,3,4}:{(10,1),(23,1)}
      19:{1,3,4,6}:{(10,1),(11,1),(26,1),(28,1)}
      20:{2,3,4,6}:{(12,1),(25,1),(29,1),(60,1)}
      21:{1,3,4,6}:{(13,1),(26,1),(30,1),(31,1),(60,1)}
      22:{2,3,5,6}:{(14,1),(32,1),(50,1),(53,1),(63,1)}
      23:{1,2,3,5}:{(15,1),(16,1),(18,1),(33,1)}
      24:{1,3,4,6}:{(15,1),(33,1),(34,1),(52,1)}
      25:{1,2,4,6}:{(16,1),(20,1),(33,1),(35,1),(52,1)}
      26:{1,4,6}:{(17,1),(32,1),(37,1)}
      27:{1,2,3,4,6}:{(18,1),(19,1),(33,1),(36,1),(38,1),(52,1),(56,1),(63,1)}
      28:{1,3,5}:{(19,1),(37,1)}
      29:{2,3,5,6}:{(20,1),(35,1),(39,1),(53,1)}
      30:{1,2,3,6}:{(21,1),(36,1),(40,1),(63,1)}
      31:{1,3,4,5}:{(21,1),(37,1),(40,1),(55,1)}
      32:{3,4,6}:{(22,1),(26,1),(42,1)}
      33:{1,2,3,6}:{(23,1),(24,1),(25,1)}
      34:{1,3,5,6}:{(24,1),(28,1),(43,1)}
      35:{1,2,5,6}:{(25,1),(29,1),(45,1)}
      36:{1,2,4,6}:{(26,1),(30,1),(41,1),(46,1),(48,1)}
      37:{1,4,5}:{(26,1),(28,1),(42,1),(46,1)}
      38:{1,2,3,5}:{(27,1),(28,1),(46,1),(47,1),(61,1)}
      39:{4,5,6}:{(29,1)}
      40:{1,2,3,5}:{(30,1),(31,1),(46,1),(48,1),(61,1)}
      41:{2,3,4,6}:{(32,1),(36,1),(50,1),(56,1),(62,1),(63,1)}
      42:{3,4,5}:{(32,1),(37,1),(50,1)}
      43:{1,4,5,6}:{(34,1),(37,1),(49,1),(51,1),(52,1)}
      44:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(38,1),(51,1),(52,1),(53,1),(63,1)}
      45:{1,4,5,6}:{(35,1),(39,1),(52,1),(53,1)}
      46:{1,2,5}:{(36,1),(37,1),(50,1)}
      47:{1,4,5}:{(38,1),(52,1),(55,1)}
      48:{1,2,4}:{(40,1),(56,1)}
      49:{3,4,5,6}:{(42,1),(43,1),(57,1),(60,1)}
      50:{2,3,5}:{(41,1),(42,1),(46,1),(58,1)}
      51:{1,2,5,6}:{(43,1),(46,1),(57,1),(59,1)}
      52:{1,4,6}:{(44,1),(47,1),(60,1)}
      53:{3,5,6}:{(45,1),(60,1)}
      54:{1,2,4,5}:{(46,1),(47,1),(48,1),(58,1),(59,1),(61,1)}
      55:{3,4,5}:{(47,1),(60,1),(61,1)}
      56:{2,3,4}:{(48,1),(61,1)}
      57:{2,3,5,6}:{(49,1),(50,1),(51,1),(62,1),(63,1)}
      58:{2,4,5}:{(50,1),(62,1)}
      59:{1,2,4,6}:{(51,1),(52,1),(54,1),(62,1),(63,1)}
      60:{3,4,6}:{(52,1),(53,1),(55,1),(63,1)}
      61:{2,3,5}:{(54,1),(55,1),(56,1),(63,1)}
      62:{2,4,6}:{(57,1),(58,1)}
      63:{2,3,6}:{(59,1),(60,1),(61,1)}

571 :  0:{1,3,4,5,6}:{(1,1),(9,1),(18,1),(31,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(18,1)}
       3:{2,3,4,6}:{(2,1),(6,1),(14,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(11,1)}
       5:{1,2,3,4,6}:{(3,1),(8,1),(18,1),(21,1),(30,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,4,5,6}:{(4,1),(10,1),(18,1),(32,1),(33,1)}
       8:{1,2,3,5}:{(5,1),(6,1),(11,1)}
       9:{3,4,5}:{(6,1),(11,1),(14,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(14,1)}
      11:{1,4,5}:{(8,1),(9,1),(18,1)}
      12:{1,2,3,5,6}:{(8,1),(10,1),(18,1),(30,1),(31,1),(32,1)}
      13:{2,3,4,5}:{(9,1),(17,1),(19,1),(43,1)}
      14:{3,4,6}:{(9,1),(10,1),(18,1)}
      15:{1,3,4,5,6}:{(22,1),(31,1),(41,1),(43,1)}
      16:{1,3,4,5}:{(11,1),(23,1),(24,1),(39,1)}
      17:{1,2,4,5}:{(11,1),(13,1),(23,1),(25,1),(39,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1)}
      19:{2,3,4,6}:{(13,1),(14,1),(25,1),(27,1),(44,1)}
      20:{3,4,5,6}:{(14,1),(26,1),(27,1),(44,1)}
      21:{1,2,3,4}:{(23,1)}
      22:{1,2,3,5,6}:{(15,1),(29,1),(40,1)}
      23:{1,2,3,5}:{(16,1),(17,1),(21,1),(30,1)}
      24:{1,3,4,6}:{(16,1),(18,1),(30,1),(31,1),(41,1)}
      25:{1,2,4,6}:{(17,1),(18,1),(19,1),(30,1),(32,1),(41,1)}
      26:{1,4,5,6}:{(18,1),(20,1),(31,1),(32,1),(41,1)}
      27:{2,3,5,6}:{(19,1),(20,1),(32,1),(33,1)}
      28:{1,2,3,4,6}:{(21,1),(30,1),(34,1),(36,1),(41,1)}
      29:{1,2,4,6}:{(22,1),(35,1),(36,1),(41,1)}
      30:{1,2,3,6}:{(23,1),(24,1),(25,1)}
      31:{1,3,5,6}:{(24,1),(26,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(27,1)}
      33:{2,4,5,6}:{(27,1)}
      34:{1,2,3,5}:{(28,1),(39,1),(40,1)}
      35:{1,2,4,5}:{(29,1),(39,1),(40,1)}
      36:{2,3,4,6}:{(29,1),(40,1),(44,1)}
      37:{1,2,3,5,6}:{(30,1),(31,1),(32,1),(34,1),(41,1),(42,1)}
      38:{1,2,4,5,6}:{(32,1),(33,1),(35,1),(41,1),(42,1)}
      39:{1,4,5}:{(34,1),(41,1),(43,1)}
      40:{2,3,5}:{(35,1),(36,1),(43,1)}
      41:{1,4,6}:{(37,1),(39,1),(44,1)}
      42:{2,3,5,6}:{(38,1),(40,1),(44,1)}
      43:{3,4,5}:{(39,1),(40,1),(44,1)}
      44:{3,4,6}:{(41,1),(42,1),(43,1)}

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

573 :  0:{2,3,4,5}:{(2,1),(3,1),(25,1)}
       1:{1,2,3,4}:{(6,1),(40,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(17,1)}
       3:{2,3,4,6}:{(0,1),(5,1),(7,1),(37,1)}
       4:{1,2,3,4,6}:{(1,1),(9,1),(12,1),(28,1),(43,1),(47,1),(50,1),(58,1)}
       5:{2,3,5,6}:{(3,1),(8,1),(10,1),(26,1)}
       6:{1,2,3,5}:{(1,1),(2,1),(11,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(10,1),(12,1),(28,1)}
       8:{4,5,6}:{(5,1)}
       9:{1,2,3,5}:{(4,1),(17,1),(36,1),(57,1),(62,1)}
      10:{1,2,5,6}:{(5,1),(7,1),(16,1)}
      11:{1,3,4,5}:{(6,1),(17,1),(19,1),(40,1),(57,1)}
      12:{1,2,3,6}:{(6,1),(7,1),(19,1)}
      13:{2,3,4,5}:{(20,1),(21,1),(54,1)}
      14:{2,4,5,6}:{(8,1),(22,1)}
      15:{3,4,5,6}:{(8,1),(22,1),(24,1),(26,1),(44,1)}
      16:{1,4,5,6}:{(8,1),(10,1),(26,1),(28,1)}
      17:{1,4,5}:{(9,1),(25,1),(28,1)}
      18:{1,2,3,5,6}:{(9,1),(10,1),(12,1),(26,1),(28,1),(29,1),(47,1),(49,1)}
      19:{1,3,4,6}:{(11,1),(12,1),(28,1),(29,1)}
      20:{1,2,4,5}:{(13,1),(30,1),(31,1),(59,1)}
      21:{2,3,4,6}:{(13,1),(22,1),(31,1),(44,1)}
      22:{2,3,5,6}:{(14,1),(15,1),(21,1),(32,1)}
      23:{1,2,4,5,6}:{(14,1),(16,1),(32,1),(33,1),(38,1),(52,1),(62,1),(63,1)}
      24:{1,4,5,6}:{(15,1),(32,1),(35,1),(52,1)}
      25:{3,4,5}:{(17,1),(36,1),(37,1)}
      26:{3,5,6}:{(16,1),(37,1)}
      27:{1,2,4,5}:{(17,1),(36,1),(38,1),(51,1),(62,1),(63,1)}
      28:{1,4,6}:{(17,1),(18,1),(37,1)}
      29:{1,3,5,6}:{(19,1),(39,1),(57,1)}
      30:{1,2,3,5}:{(20,1),(40,1),(41,1),(57,1)}
      31:{1,2,4,6}:{(20,1),(21,1),(32,1),(41,1),(52,1)}
      32:{1,2,5,6}:{(22,1),(24,1),(31,1)}
      33:{2,3,5,6}:{(23,1),(26,1),(44,1),(47,1),(60,1)}
      34:{1,3,4,5}:{(25,1),(45,1),(46,1),(59,1)}
      35:{1,3,5,6}:{(24,1),(26,1),(46,1)}
      36:{2,3,5}:{(25,1),(27,1),(43,1),(47,1)}
      37:{3,4,6}:{(25,1),(26,1),(28,1),(47,1)}
      38:{1,2,4,6}:{(27,1),(28,1),(47,1),(49,1),(61,1)}
      39:{1,4,5,6}:{(28,1),(29,1),(48,1),(49,1),(59,1)}
      40:{1,3,4}:{(30,1)}
      41:{1,2,3,6}:{(30,1),(31,1),(50,1)}
      42:{1,2,3,5,6}:{(32,1),(33,1),(35,1),(41,1),(52,1),(55,1),(57,1),(62,1)}
      43:{2,3,4}:{(36,1),(51,1)}
      44:{3,4,6}:{(33,1),(52,1),(54,1)}
      45:{1,2,3,5}:{(34,1),(36,1),(51,1),(55,1),(62,1)}
      46:{1,3,4,6}:{(34,1),(35,1),(37,1),(52,1),(55,1)}
      47:{2,3,6}:{(36,1),(37,1),(38,1)}
      48:{3,4,5,6}:{(37,1),(39,1),(54,1),(56,1)}
      49:{1,2,5,6}:{(38,1),(39,1),(56,1),(62,1)}
      50:{1,3,4,6}:{(40,1),(41,1),(52,1),(57,1)}
      51:{1,2,4}:{(43,1),(45,1)}
      52:{1,4,6}:{(42,1),(44,1),(59,1)}
      53:{2,3,4,6}:{(43,1),(44,1),(47,1),(58,1),(60,1),(61,1)}
      54:{3,4,5}:{(44,1),(59,1),(60,1)}
      55:{1,2,3,6}:{(45,1),(46,1),(47,1),(58,1)}
      56:{2,3,5,6}:{(47,1),(48,1),(49,1),(60,1),(61,1)}
      57:{1,3,5}:{(50,1),(59,1)}
      58:{1,2,4,6}:{(51,1),(52,1),(53,1),(55,1),(62,1)}
      59:{1,4,5}:{(52,1),(54,1),(57,1),(62,1)}
      60:{2,3,5}:{(53,1),(54,1),(62,1),(63,1)}
      61:{2,4,6}:{(56,1),(63,1)}
      62:{1,2,5}:{(58,1),(59,1),(60,1)}
      63:{2,4,5}:{(60,1),(61,1)}

574 :  0:{2,3,4,5}:{(2,1),(3,1),(46,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(36,1),(37,1),(53,1)}
       2:{1,2,4,5}:{(0,1),(4,1),(6,1),(37,1)}
       3:{2,3,4,6}:{(0,1),(6,1),(7,1),(39,1)}
       4:{1,2,3,5}:{(1,1),(2,1),(9,1),(10,1)}
       5:{1,3,4,6}:{(1,1),(10,1),(11,1),(29,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(10,1),(12,1),(29,1)}
       7:{2,3,5,6}:{(3,1),(12,1),(13,1),(30,1)}
       8:{2,3,4,5}:{(15,1),(16,1),(50,1)}
       9:{1,2,3,4}:{(4,1),(36,1)}
      10:{1,2,3,6}:{(4,1),(5,1),(6,1)}
      11:{1,3,5,6}:{(5,1),(18,1),(53,1)}
      12:{1,2,5,6}:{(6,1),(7,1),(20,1)}
      13:{4,5,6}:{(7,1)}
      14:{2,4,5,6}:{(13,1),(24,1)}
      15:{2,3,4,6}:{(8,1),(24,1),(26,1),(42,1)}
      16:{1,2,4,5}:{(8,1),(25,1),(26,1),(58,1)}
      17:{1,2,3,4,6}:{(9,1),(10,1),(27,1),(29,1),(44,1),(47,1),(59,1),(60,1)}
      18:{1,4,5,6}:{(11,1),(22,1),(28,1),(29,1),(58,1)}
      19:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(27,1),(28,1),(29,1),(30,1),(47,1)}
      20:{1,4,5,6}:{(12,1),(13,1),(29,1),(30,1)}
      21:{3,4,5,6}:{(13,1),(24,1),(30,1),(31,1),(42,1)}
      22:{3,4,5,6}:{(18,1),(32,1),(39,1),(50,1)}
      23:{1,2,4,5,6}:{(14,1),(20,1),(33,1),(34,1),(38,1),(49,1),(52,1),(62,1)}
      24:{2,3,5,6}:{(14,1),(15,1),(21,1),(34,1)}
      25:{1,2,3,5}:{(16,1),(35,1),(36,1),(53,1)}
      26:{1,2,4,6}:{(15,1),(16,1),(34,1),(35,1),(52,1)}
      27:{1,2,3,5}:{(17,1),(37,1),(53,1),(54,1),(62,1)}
      28:{1,2,5,6}:{(18,1),(32,1),(38,1),(62,1)}
      29:{1,4,6}:{(19,1),(37,1),(39,1)}
      30:{3,5,6}:{(20,1),(39,1)}
      31:{1,4,5,6}:{(21,1),(34,1),(40,1),(52,1)}
      32:{2,3,5,6}:{(22,1),(28,1),(41,1),(47,1),(57,1)}
      33:{2,3,5,6}:{(23,1),(30,1),(42,1),(47,1),(57,1)}
      34:{1,2,5,6}:{(24,1),(26,1),(31,1)}
      35:{1,2,3,6}:{(25,1),(26,1),(44,1)}
      36:{1,3,4}:{(25,1)}
      37:{1,4,5}:{(27,1),(29,1),(46,1)}
      38:{1,2,4,6}:{(28,1),(29,1),(41,1),(45,1),(47,1)}
      39:{3,4,6}:{(29,1),(30,1),(46,1),(47,1)}
      40:{1,3,5,6}:{(30,1),(31,1),(48,1)}
      41:{2,4,6}:{(32,1),(49,1)}
      42:{3,4,6}:{(33,1),(50,1),(52,1)}
      43:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(40,1),(52,1),(53,1),(56,1),(62,1)}
      44:{1,3,4,6}:{(35,1),(36,1),(52,1),(53,1)}
      45:{1,2,4,5}:{(37,1),(38,1),(49,1),(54,1),(62,1),(63,1)}
      46:{3,4,5}:{(37,1),(39,1),(54,1)}
      47:{2,3,6}:{(38,1),(39,1),(54,1)}
      48:{1,3,4,6}:{(39,1),(40,1),(52,1),(55,1),(56,1)}
      49:{2,4,5}:{(41,1),(57,1)}
      50:{3,4,5}:{(42,1),(57,1),(58,1)}
      51:{2,3,4,6}:{(41,1),(42,1),(47,1),(57,1),(59,1),(60,1)}
      52:{1,4,6}:{(42,1),(43,1),(58,1)}
      53:{1,3,5}:{(44,1),(58,1)}
      54:{2,3,5}:{(45,1),(46,1),(47,1),(60,1)}
      55:{1,3,4,5}:{(46,1),(48,1),(58,1),(61,1)}
      56:{1,2,3,6}:{(47,1),(48,1),(59,1),(61,1)}
      57:{2,3,5}:{(49,1),(50,1),(51,1),(62,1)}
      58:{1,4,5}:{(50,1),(52,1),(53,1),(62,1)}
      59:{1,2,4,6}:{(51,1),(52,1),(56,1),(62,1),(63,1)}
      60:{2,3,4}:{(54,1),(63,1)}
      61:{1,2,3,5}:{(54,1),(55,1),(56,1),(62,1),(63,1)}
      62:{1,2,5}:{(57,1),(58,1),(59,1)}
      63:{1,2,4}:{(60,1),(61,1)}

575 :  0:{3,4,5,6}:{(3,1),(4,1),(15,1),(60,1),(63,1)}
       1:{2,4,5,6}:{(3,1),(60,1)}
       2:{2,3,4,5}:{(6,1),(7,1),(22,1)}
       3:{2,3,5,6}:{(0,1),(1,1),(7,1),(8,1)}
       4:{1,4,5,6}:{(0,1),(8,1),(9,1),(18,1)}
       5:{1,2,4,5,6}:{(1,1),(8,1),(10,1),(18,1),(36,1),(39,1),(52,1),(61,1)}
       6:{1,2,4,5}:{(2,1),(11,1),(12,1),(27,1)}
       7:{2,3,4,6}:{(2,1),(3,1),(12,1),(15,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(12,1)}
       9:{1,3,5,6}:{(4,1),(14,1),(63,1)}
      10:{2,3,5,6}:{(5,1),(15,1),(30,1),(58,1),(63,1)}
      11:{1,2,3,5}:{(6,1),(16,1),(17,1),(35,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(18,1)}
      13:{1,2,3,5,6}:{(8,1),(9,1),(10,1),(17,1),(18,1),(19,1),(35,1),(36,1)}
      14:{1,3,4,6}:{(9,1),(18,1),(19,1),(20,1),(62,1)}
      15:{3,4,6}:{(10,1),(18,1),(22,1)}
      16:{1,3,4}:{(11,1)}
      17:{1,2,3,6}:{(11,1),(12,1),(25,1)}
      18:{1,4,6}:{(13,1),(15,1),(27,1)}
      19:{1,2,3,6}:{(14,1),(26,1),(28,1),(58,1)}
      20:{1,3,4,5}:{(14,1),(27,1),(28,1),(59,1)}
      21:{2,3,4,6}:{(15,1),(26,1),(30,1),(47,1),(48,1),(58,1)}
      22:{3,4,5}:{(15,1),(27,1),(30,1)}
      23:{1,3,4,5}:{(16,1),(31,1),(32,1),(35,1),(53,1)}
      24:{1,2,3,4}:{(16,1),(31,1)}
      25:{1,3,4,6}:{(16,1),(17,1),(18,1),(35,1)}
      26:{1,2,4,6}:{(18,1),(19,1),(21,1),(36,1),(37,1)}
      27:{1,4,5}:{(18,1),(22,1),(35,1),(36,1)}
      28:{1,2,3,5}:{(19,1),(20,1),(36,1),(37,1),(54,1)}
      29:{3,4,5,6}:{(22,1),(33,1),(38,1),(62,1)}
      30:{2,3,5}:{(21,1),(22,1),(36,1),(39,1)}
      31:{1,2,3,5}:{(23,1),(24,1),(41,1),(42,1)}
      32:{1,3,4,6}:{(23,1),(42,1),(43,1),(57,1)}
      33:{1,4,5,6}:{(27,1),(29,1),(43,1),(44,1),(57,1)}
      34:{1,2,3,4,6}:{(24,1),(25,1),(26,1),(42,1),(45,1),(47,1),(57,1),(58,1)}
      35:{1,3,5}:{(25,1),(27,1)}
      36:{1,2,5}:{(26,1),(27,1),(30,1)}
      37:{1,2,4}:{(28,1),(47,1)}
      38:{2,3,5,6}:{(29,1),(30,1),(44,1),(48,1),(58,1)}
      39:{2,4,5}:{(30,1),(48,1)}
      40:{2,3,4,5}:{(41,1),(49,1),(59,1)}
      41:{1,2,4,5}:{(31,1),(40,1),(50,1),(53,1)}
      42:{1,2,3,6}:{(31,1),(32,1),(50,1)}
      43:{1,3,5,6}:{(32,1),(33,1),(35,1)}
      44:{1,2,5,6}:{(33,1),(36,1),(38,1),(52,1)}
      45:{1,2,3,5}:{(34,1),(35,1),(36,1),(53,1),(54,1)}
      46:{1,2,4,5}:{(36,1),(37,1),(39,1),(52,1),(53,1),(54,1)}
      47:{2,3,4}:{(37,1),(54,1)}
      48:{2,4,6}:{(38,1),(39,1)}
      49:{2,3,4,6}:{(40,1),(50,1),(55,1),(62,1)}
      50:{1,2,4,6}:{(41,1),(42,1),(49,1),(56,1),(57,1)}
      51:{1,2,3,5,6}:{(42,1),(43,1),(44,1),(45,1),(56,1),(57,1),(58,1),(63,1)}
      52:{1,2,4,6}:{(44,1),(46,1),(48,1),(57,1),(58,1)}
      53:{1,4,5}:{(45,1),(57,1),(59,1)}
      54:{2,3,5}:{(46,1),(47,1),(58,1),(59,1)}
      55:{2,3,5,6}:{(49,1),(56,1),(60,1),(63,1)}
      56:{1,2,5,6}:{(50,1),(55,1),(61,1)}
      57:{1,4,6}:{(51,1),(53,1),(62,1)}
      58:{2,3,6}:{(52,1),(54,1),(62,1)}
      59:{3,4,5}:{(53,1),(54,1),(62,1)}
      60:{4,5,6}:{(55,1)}
      61:{1,4,5,6}:{(56,1),(57,1),(60,1),(63,1)}
      62:{3,4,6}:{(57,1),(58,1),(59,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

576 :  0:{2,3,4,5}:{(2,1),(3,1),(55,1)}
       1:{2,3,4,5}:{(6,1),(7,1),(41,1)}
       2:{1,2,4,5}:{(0,1),(9,1),(10,1),(49,1)}
       3:{2,3,4,6}:{(0,1),(8,1),(10,1),(47,1)}
       4:{3,4,5,6}:{(8,1),(11,1),(22,1),(42,1),(47,1)}
       5:{1,2,3,4}:{(14,1),(18,1)}
       6:{1,2,4,5}:{(1,1),(14,1),(15,1),(33,1)}
       7:{2,3,4,6}:{(1,1),(13,1),(15,1),(51,1)}
       8:{2,3,5,6}:{(3,1),(4,1),(16,1),(17,1)}
       9:{1,2,3,5}:{(2,1),(18,1),(19,1),(39,1)}
      10:{1,2,4,6}:{(2,1),(3,1),(17,1),(19,1),(38,1)}
      11:{1,4,5,6}:{(4,1),(17,1),(21,1),(38,1)}
      12:{1,2,3,4,6}:{(5,1),(23,1),(26,1),(29,1),(44,1),(46,1),(48,1),(57,1)}
      13:{2,3,5,6}:{(7,1),(22,1),(24,1),(42,1)}
      14:{1,2,3,5}:{(5,1),(6,1),(25,1),(26,1)}
      15:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(44,1)}
      16:{2,4,5,6}:{(8,1),(22,1)}
      17:{1,2,5,6}:{(8,1),(10,1),(11,1)}
      18:{1,3,4}:{(9,1)}
      19:{1,2,3,6}:{(9,1),(10,1),(29,1)}
      20:{1,3,4,5}:{(30,1),(31,1),(41,1),(49,1)}
      21:{1,3,5,6}:{(11,1),(31,1),(42,1)}
      22:{4,5,6}:{(13,1)}
      23:{1,2,3,5}:{(12,1),(33,1),(39,1),(50,1),(56,1)}
      24:{1,2,5,6}:{(13,1),(15,1),(32,1)}
      25:{1,3,4,5}:{(14,1),(18,1),(33,1),(35,1),(39,1)}
      26:{1,2,3,6}:{(14,1),(15,1),(35,1)}
      27:{1,2,4,5,6}:{(16,1),(17,1),(32,1),(36,1),(38,1),(52,1),(56,1),(62,1)}
      28:{1,2,3,5,6}:{(17,1),(19,1),(21,1),(36,1),(38,1),(39,1),(40,1),(56,1)}
      29:{1,3,4,6}:{(18,1),(19,1),(38,1),(39,1)}
      30:{1,2,3,5}:{(20,1),(37,1),(40,1),(50,1),(56,1)}
      31:{1,3,4,6}:{(20,1),(21,1),(38,1),(40,1),(51,1)}
      32:{1,4,5,6}:{(22,1),(24,1),(42,1),(44,1)}
      33:{1,4,5}:{(23,1),(41,1),(44,1)}
      34:{1,2,3,5,6}:{(23,1),(24,1),(26,1),(42,1),(44,1),(45,1),(57,1),(59,1)}
      35:{1,3,4,6}:{(25,1),(26,1),(44,1),(45,1)}
      36:{2,3,5,6}:{(27,1),(42,1),(47,1),(57,1),(60,1)}
      37:{1,2,4}:{(30,1),(46,1)}
      38:{1,4,6}:{(28,1),(47,1),(49,1)}
      39:{1,3,5}:{(29,1),(49,1)}
      40:{1,2,3,6}:{(30,1),(31,1),(48,1),(57,1)}
      41:{3,4,5}:{(33,1),(50,1),(51,1)}
      42:{3,5,6}:{(32,1),(51,1)}
      43:{1,2,4,5}:{(33,1),(37,1),(50,1),(52,1),(56,1),(62,1)}
      44:{1,4,6}:{(33,1),(34,1),(51,1)}
      45:{1,3,5,6}:{(35,1),(39,1),(53,1)}
      46:{2,3,4}:{(37,1),(50,1)}
      47:{3,4,6}:{(36,1),(38,1),(55,1)}
      48:{1,2,4,6}:{(37,1),(38,1),(40,1),(54,1),(56,1)}
      49:{1,4,5}:{(38,1),(39,1),(55,1),(56,1)}
      50:{2,3,5}:{(41,1),(43,1),(46,1),(57,1)}
      51:{3,4,6}:{(41,1),(42,1),(44,1),(57,1)}
      52:{1,2,4,6}:{(43,1),(44,1),(57,1),(59,1),(63,1)}
      53:{1,4,5,6}:{(44,1),(45,1),(49,1),(58,1),(59,1)}
      54:{2,3,4,6}:{(46,1),(47,1),(48,1),(57,1),(60,1),(63,1)}
      55:{3,4,5}:{(47,1),(49,1),(60,1)}
      56:{1,2,5}:{(48,1),(49,1),(60,1)}
      57:{2,3,6}:{(50,1),(51,1),(52,1)}
      58:{3,4,5,6}:{(51,1),(53,1),(55,1),(61,1)}
      59:{1,2,5,6}:{(52,1),(53,1),(56,1),(61,1)}
      60:{2,3,5}:{(54,1),(55,1),(56,1),(62,1)}
      61:{2,3,5,6}:{(57,1),(58,1),(59,1),(60,1),(63,1)}
      62:{2,4,5}:{(60,1),(63,1)}
      63:{2,4,6}:{(61,1),(62,1)}

577 :  0:{2,3,4,5}:{(1,1),(2,1),(28,1)}
       1:{1,2,4,5}:{(0,1),(6,1),(7,1),(35,1)}
       2:{2,3,4,6}:{(0,1),(5,1),(7,1),(19,1)}
       3:{2,4,5,6}:{(5,1),(55,1)}
       4:{3,4,5,6}:{(5,1),(9,1),(19,1),(55,1),(62,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(4,1),(10,1)}
       6:{1,2,3,5}:{(1,1),(11,1),(12,1),(25,1)}
       7:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(23,1)}
       8:{1,2,4,5,6}:{(3,1),(10,1),(13,1),(23,1),(44,1),(48,1),(58,1),(59,1)}
       9:{1,4,5,6}:{(4,1),(10,1),(14,1),(23,1)}
      10:{1,2,5,6}:{(5,1),(7,1),(9,1)}
      11:{1,3,4}:{(6,1)}
      12:{1,2,3,6}:{(6,1),(7,1),(18,1)}
      13:{2,3,5,6}:{(8,1),(19,1),(39,1),(62,1),(63,1)}
      14:{1,3,5,6}:{(9,1),(20,1),(62,1)}
      15:{1,3,4,5}:{(11,1),(21,1),(22,1),(25,1),(45,1)}
      16:{1,2,3,5,6}:{(10,1),(12,1),(13,1),(14,1),(23,1),(25,1),(29,1),(44,1)}
      17:{1,2,3,4}:{(11,1),(21,1)}
      18:{1,3,4,6}:{(11,1),(12,1),(23,1),(25,1)}
      19:{3,4,6}:{(13,1),(23,1),(28,1)}
      20:{1,3,4,6}:{(14,1),(23,1),(29,1),(30,1),(60,1)}
      21:{1,2,3,5}:{(15,1),(17,1),(31,1),(32,1)}
      22:{1,3,4,6}:{(15,1),(32,1),(33,1),(52,1)}
      23:{1,4,6}:{(16,1),(19,1),(35,1)}
      24:{1,2,3,4,6}:{(17,1),(18,1),(32,1),(34,1),(36,1),(52,1),(57,1),(63,1)}
      25:{1,3,5}:{(18,1),(35,1)}
      26:{2,3,4,5}:{(31,1),(37,1),(54,1)}
      27:{2,3,4,6}:{(19,1),(34,1),(39,1),(56,1),(57,1),(63,1)}
      28:{3,4,5}:{(19,1),(35,1),(39,1)}
      29:{1,2,3,6}:{(20,1),(34,1),(40,1),(63,1)}
      30:{1,3,4,5}:{(20,1),(35,1),(40,1),(54,1)}
      31:{1,2,4,5}:{(21,1),(26,1),(41,1),(45,1)}
      32:{1,2,3,6}:{(21,1),(22,1),(41,1)}
      33:{1,3,5,6}:{(22,1),(25,1),(42,1)}
      34:{1,2,4,6}:{(23,1),(27,1),(29,1),(44,1),(49,1)}
      35:{1,4,5}:{(23,1),(25,1),(28,1),(44,1)}
      36:{1,2,3,5}:{(24,1),(25,1),(44,1),(45,1),(61,1)}
      37:{2,3,4,6}:{(26,1),(41,1),(46,1),(60,1)}
      38:{3,4,5,6}:{(28,1),(42,1),(47,1),(60,1)}
      39:{2,3,5}:{(27,1),(28,1),(44,1),(48,1)}
      40:{1,2,3,5}:{(29,1),(30,1),(44,1),(49,1),(61,1)}
      41:{1,2,4,6}:{(31,1),(32,1),(37,1),(50,1),(52,1)}
      42:{1,4,5,6}:{(33,1),(35,1),(38,1),(51,1),(52,1)}
      43:{1,2,3,5,6}:{(32,1),(33,1),(36,1),(50,1),(51,1),(52,1),(62,1),(63,1)}
      44:{1,2,5}:{(34,1),(35,1),(39,1)}
      45:{1,4,5}:{(36,1),(52,1),(54,1)}
      46:{2,3,5,6}:{(37,1),(50,1),(55,1),(62,1)}
      47:{2,3,5,6}:{(38,1),(39,1),(51,1),(56,1),(63,1)}
      48:{2,4,5}:{(39,1),(56,1)}
      49:{1,2,4}:{(40,1),(57,1)}
      50:{1,2,5,6}:{(41,1),(46,1),(58,1)}
      51:{1,2,5,6}:{(42,1),(44,1),(47,1),(59,1)}
      52:{1,4,6}:{(43,1),(45,1),(60,1)}
      53:{1,2,4,5}:{(44,1),(45,1),(48,1),(49,1),(59,1),(61,1)}
      54:{3,4,5}:{(45,1),(60,1),(61,1)}
      55:{4,5,6}:{(46,1)}
      56:{2,4,6}:{(47,1),(48,1)}
      57:{2,3,4}:{(49,1),(61,1)}
      58:{1,4,5,6}:{(50,1),(52,1),(55,1),(62,1)}
      59:{1,2,4,6}:{(51,1),(52,1),(53,1),(56,1),(63,1)}
      60:{3,4,6}:{(52,1),(54,1),(62,1),(63,1)}
      61:{2,3,5}:{(53,1),(54,1),(57,1),(63,1)}
      62:{3,5,6}:{(58,1),(60,1)}
      63:{2,3,6}:{(59,1),(60,1),(61,1)}

578 :  0:{2,3,4,5}:{(2,1),(4,1),(29,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(19,1),(51,1),(62,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(7,1),(19,1)}
       3:{1,2,3,4}:{(5,1),(51,1)}
       4:{2,3,4,6}:{(0,1),(7,1),(9,1),(37,1)}
       5:{1,2,3,5}:{(1,1),(2,1),(3,1),(10,1)}
       6:{1,3,4,6}:{(1,1),(10,1),(11,1),(26,1)}
       7:{1,2,4,6}:{(2,1),(4,1),(10,1),(12,1),(26,1)}
       8:{1,2,3,4,6}:{(3,1),(10,1),(13,1),(26,1),(46,1),(47,1),(58,1),(61,1)}
       9:{2,3,5,6}:{(4,1),(12,1),(14,1),(27,1)}
      10:{1,2,3,6}:{(5,1),(6,1),(7,1)}
      11:{1,3,5,6}:{(6,1),(16,1),(62,1)}
      12:{1,2,5,6}:{(7,1),(9,1),(18,1)}
      13:{1,2,3,5}:{(8,1),(19,1),(39,1),(62,1),(63,1)}
      14:{4,5,6}:{(9,1)}
      15:{2,4,5,6}:{(14,1),(24,1)}
      16:{1,4,5,6}:{(11,1),(22,1),(25,1),(26,1),(60,1)}
      17:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(13,1),(25,1),(26,1),(27,1),(47,1)}
      18:{1,4,5,6}:{(12,1),(14,1),(26,1),(27,1)}
      19:{1,4,5}:{(13,1),(26,1),(29,1)}
      20:{3,4,5,6}:{(14,1),(24,1),(27,1),(30,1),(44,1)}
      21:{2,3,4,5}:{(31,1),(32,1),(53,1)}
      22:{3,4,5,6}:{(16,1),(33,1),(37,1),(53,1)}
      23:{1,2,4,5,6}:{(15,1),(18,1),(34,1),(35,1),(36,1),(52,1),(55,1),(63,1)}
      24:{2,3,5,6}:{(15,1),(20,1),(31,1),(35,1)}
      25:{1,2,5,6}:{(16,1),(33,1),(36,1),(63,1)}
      26:{1,4,6}:{(17,1),(19,1),(37,1)}
      27:{3,5,6}:{(18,1),(37,1)}
      28:{1,2,4,5}:{(19,1),(36,1),(39,1),(52,1),(56,1),(63,1)}
      29:{3,4,5}:{(19,1),(37,1),(39,1)}
      30:{1,4,5,6}:{(20,1),(35,1),(38,1),(55,1)}
      31:{2,3,4,6}:{(21,1),(24,1),(42,1),(44,1)}
      32:{1,2,4,5}:{(21,1),(41,1),(42,1),(60,1)}
      33:{2,3,5,6}:{(22,1),(25,1),(43,1),(47,1),(59,1)}
      34:{2,3,5,6}:{(23,1),(27,1),(44,1),(47,1),(59,1)}
      35:{1,2,5,6}:{(24,1),(30,1),(42,1)}
      36:{1,2,4,6}:{(25,1),(26,1),(28,1),(43,1),(47,1)}
      37:{3,4,6}:{(26,1),(27,1),(29,1),(47,1)}
      38:{1,3,5,6}:{(27,1),(30,1),(48,1)}
      39:{2,3,5}:{(28,1),(29,1),(46,1),(47,1)}
      40:{1,3,4,5}:{(29,1),(48,1),(49,1),(60,1)}
      41:{1,2,3,5}:{(32,1),(50,1),(51,1),(62,1)}
      42:{1,2,4,6}:{(31,1),(32,1),(35,1),(50,1),(55,1)}
      43:{2,4,6}:{(33,1),(52,1)}
      44:{3,4,6}:{(34,1),(53,1),(55,1)}
      45:{1,2,3,5,6}:{(34,1),(35,1),(38,1),(50,1),(55,1),(57,1),(62,1),(63,1)}
      46:{2,3,4}:{(39,1),(56,1)}
      47:{2,3,6}:{(36,1),(37,1),(39,1)}
      48:{1,3,4,6}:{(37,1),(38,1),(40,1),(55,1),(57,1)}
      49:{1,2,3,5}:{(39,1),(40,1),(56,1),(57,1),(63,1)}
      50:{1,2,3,6}:{(41,1),(42,1),(58,1)}
      51:{1,3,4}:{(41,1)}
      52:{2,4,5}:{(43,1),(59,1)}
      53:{3,4,5}:{(44,1),(59,1),(60,1)}
      54:{2,3,4,6}:{(43,1),(44,1),(46,1),(47,1),(59,1),(61,1)}
      55:{1,4,6}:{(44,1),(45,1),(60,1)}
      56:{1,2,4}:{(46,1),(49,1)}
      57:{1,2,3,6}:{(47,1),(48,1),(49,1),(61,1)}
      58:{1,3,4,6}:{(50,1),(51,1),(55,1),(62,1)}
      59:{2,3,5}:{(52,1),(53,1),(54,1),(63,1)}
      60:{1,4,5}:{(53,1),(55,1),(62,1),(63,1)}
      61:{1,2,4,6}:{(54,1),(55,1),(56,1),(57,1),(63,1)}
      62:{1,3,5}:{(58,1),(60,1)}
      63:{1,2,5}:{(59,1),(60,1),(61,1)}

579 :  0:{1,2,3,4,6}:{(2,1),(10,1),(24,1),(27,1),(32,1),(45,1),(50,1),(58,1)}
       1:{1,2,4,5,6}:{(3,1),(11,1),(29,1),(34,1),(35,1),(48,1),(49,1),(57,1)}
       2:{1,2,3,5}:{(0,1),(4,1),(15,1),(52,1),(59,1)}
       3:{2,3,5,6}:{(1,1),(7,1),(23,1),(55,1),(59,1)}
       4:{1,4,5}:{(2,1),(8,1),(10,1),(50,1)}
       5:{1,2,3,5,6}:{(2,1),(10,1),(27,1),(28,1),(29,1)}
       6:{1,2,3,5,6}:{(3,1),(11,1),(32,1),(33,1),(34,1)}
       7:{3,4,6}:{(3,1),(11,1),(13,1),(48,1)}
       8:{3,4,5}:{(4,1),(15,1),(16,1),(53,1),(56,1),(59,1)}
       9:{1,2,4,5}:{(4,1),(15,1),(17,1),(36,1),(52,1),(53,1)}
      10:{1,4,6}:{(4,1),(5,1),(16,1)}
      11:{1,4,6}:{(6,1),(7,1),(22,1)}
      12:{2,3,4,6}:{(7,1),(21,1),(23,1),(42,1),(55,1),(56,1)}
      13:{3,4,5}:{(7,1),(22,1),(23,1),(53,1),(56,1),(59,1)}
      14:{1,3,4,5}:{(8,1),(25,1),(26,1),(33,1),(50,1),(57,1)}
      15:{2,3,5}:{(8,1),(9,1),(24,1),(27,1)}
      16:{3,4,6}:{(8,1),(10,1),(27,1),(28,1),(48,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(27,1),(29,1),(48,1)}
      18:{1,4,5,6}:{(10,1),(28,1),(29,1),(48,1),(57,1)}
      19:{3,4,5,6}:{(13,1),(28,1),(30,1),(31,1),(48,1),(58,1)}
      20:{1,3,4,6}:{(11,1),(32,1),(33,1),(50,1),(58,1)}
      21:{1,2,4,6}:{(11,1),(12,1),(32,1),(34,1),(50,1)}
      22:{1,4,5}:{(11,1),(13,1),(33,1),(34,1),(50,1)}
      23:{2,3,5}:{(12,1),(13,1),(34,1),(35,1)}
      24:{2,3,4}:{(15,1),(36,1),(56,1)}
      25:{1,2,3,5}:{(14,1),(15,1),(36,1),(38,1),(52,1)}
      26:{1,3,4,6}:{(14,1),(16,1),(38,1),(39,1),(54,1)}
      27:{2,3,6}:{(15,1),(16,1),(17,1)}
      28:{3,5,6}:{(16,1),(18,1),(59,1)}
      29:{1,2,5,6}:{(17,1),(18,1),(40,1),(52,1)}
      30:{1,4,5,6}:{(19,1),(22,1),(39,1),(41,1),(54,1)}
      31:{2,3,5,6}:{(19,1),(23,1),(41,1),(42,1),(55,1)}
      32:{1,2,3,6}:{(20,1),(21,1),(43,1),(55,1)}
      33:{1,3,5}:{(20,1),(22,1),(59,1)}
      34:{1,2,5}:{(21,1),(22,1),(23,1)}
      35:{2,4,5}:{(23,1),(42,1),(53,1)}
      36:{1,2,4}:{(24,1),(25,1),(50,1)}
      37:{2,3,4,6}:{(24,1),(27,1),(45,1),(46,1),(48,1),(58,1)}
      38:{1,2,3,6}:{(25,1),(26,1),(27,1),(45,1)}
      39:{1,3,5,6}:{(26,1),(28,1),(30,1),(33,1)}
      40:{2,3,5,6}:{(27,1),(28,1),(29,1),(46,1),(48,1)}
      41:{1,2,5,6}:{(30,1),(31,1),(34,1),(49,1)}
      42:{2,4,6}:{(31,1),(35,1),(48,1)}
      43:{1,2,3,5}:{(32,1),(33,1),(34,1),(50,1),(51,1)}
      44:{1,2,4,5}:{(34,1),(35,1),(49,1),(50,1),(51,1),(57,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(38,1),(52,1),(54,1)}
      46:{2,3,5}:{(37,1),(52,1),(53,1),(59,1)}
      47:{1,2,3,5,6}:{(38,1),(39,1),(40,1),(41,1),(43,1),(52,1),(54,1),(55,1),(59,1)}
      48:{4,6}:{(40,1),(53,1)}
      49:{1,2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1)}
      50:{1,4}:{(43,1),(56,1)}
      51:{2,3,5}:{(44,1),(55,1),(56,1),(59,1)}
      52:{1,2,5}:{(45,1),(46,1),(57,1)}
      53:{4,5}:{(46,1),(48,1)}
      54:{1,4,6}:{(47,1),(48,1),(50,1),(57,1),(58,1)}
      55:{2,3,6}:{(49,1),(51,1),(58,1)}
      56:{3,4}:{(50,1),(51,1)}
      57:{1,4,5}:{(52,1),(53,1),(54,1),(59,1)}
      58:{3,4,6}:{(54,1),(55,1),(56,1),(59,1)}
      59:{3,5}:{(57,1),(58,1)}

580 :  0:{1,3,4,5}:{(2,1),(3,1),(14,1),(60,1),(63,1)}
       1:{1,2,3,4}:{(2,1),(60,1)}
       2:{1,2,3,5}:{(0,1),(1,1),(6,1),(7,1)}
       3:{1,3,4,6}:{(0,1),(7,1),(8,1),(19,1)}
       4:{1,2,3,4,6}:{(1,1),(7,1),(9,1),(19,1),(32,1),(35,1),(51,1),(62,1)}
       5:{2,3,4,5}:{(6,1),(10,1),(21,1)}
       6:{1,2,4,5}:{(2,1),(5,1),(11,1),(14,1)}
       7:{1,2,3,6}:{(2,1),(3,1),(11,1)}
       8:{1,3,5,6}:{(3,1),(12,1),(63,1)}
       9:{1,2,3,5}:{(4,1),(14,1),(27,1),(57,1),(63,1)}
      10:{2,3,4,6}:{(5,1),(11,1),(15,1),(26,1)}
      11:{1,2,4,6}:{(6,1),(7,1),(10,1),(17,1),(19,1)}
      12:{1,4,5,6}:{(8,1),(16,1),(18,1),(19,1),(61,1)}
      13:{1,2,3,5,6}:{(7,1),(8,1),(9,1),(17,1),(18,1),(19,1),(34,1),(35,1)}
      14:{1,4,5}:{(9,1),(19,1),(21,1)}
      15:{2,3,5,6}:{(10,1),(17,1),(22,1),(34,1)}
      16:{3,4,5,6}:{(12,1),(23,1),(26,1),(56,1)}
      17:{1,2,5,6}:{(11,1),(15,1),(24,1)}
      18:{1,2,5,6}:{(12,1),(23,1),(25,1),(57,1)}
      19:{1,4,6}:{(13,1),(14,1),(26,1)}
      20:{1,2,4,5}:{(14,1),(25,1),(27,1),(41,1),(43,1),(57,1)}
      21:{3,4,5}:{(14,1),(26,1),(27,1)}
      22:{4,5,6}:{(15,1)}
      23:{2,3,5,6}:{(16,1),(18,1),(31,1),(35,1),(50,1)}
      24:{1,4,5,6}:{(17,1),(19,1),(22,1),(34,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(20,1),(31,1),(35,1)}
      26:{3,4,6}:{(19,1),(21,1),(34,1),(35,1)}
      27:{2,3,5}:{(20,1),(21,1),(32,1),(35,1)}
      28:{1,3,4,5}:{(21,1),(36,1),(37,1),(61,1)}
      29:{2,4,5,6}:{(22,1),(38,1)}
      30:{3,4,5,6}:{(22,1),(34,1),(38,1),(39,1),(52,1)}
      31:{2,4,6}:{(23,1),(41,1)}
      32:{2,3,4}:{(27,1),(43,1)}
      33:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(41,1),(44,1),(48,1),(57,1),(58,1)}
      34:{3,5,6}:{(24,1),(26,1)}
      35:{2,3,6}:{(25,1),(26,1),(27,1)}
      36:{1,3,4,6}:{(26,1),(28,1),(45,1),(46,1),(58,1)}
      37:{1,2,3,5}:{(27,1),(28,1),(43,1),(46,1),(57,1)}
      38:{2,3,5,6}:{(29,1),(30,1),(47,1),(48,1)}
      39:{1,4,5,6}:{(30,1),(45,1),(48,1),(58,1)}
      40:{2,3,4,5}:{(47,1),(49,1),(56,1)}
      41:{2,4,5}:{(31,1),(50,1)}
      42:{2,3,4,6}:{(31,1),(32,1),(35,1),(50,1),(51,1),(52,1)}
      43:{1,2,4}:{(32,1),(37,1)}
      44:{2,3,5,6}:{(33,1),(34,1),(35,1),(50,1),(52,1)}
      45:{1,3,5,6}:{(34,1),(36,1),(39,1)}
      46:{1,2,3,6}:{(35,1),(36,1),(37,1),(51,1)}
      47:{2,3,4,6}:{(38,1),(40,1),(52,1),(54,1)}
      48:{1,2,5,6}:{(38,1),(39,1),(54,1)}
      49:{1,2,4,5}:{(40,1),(54,1),(55,1),(61,1)}
      50:{2,3,5}:{(41,1),(42,1),(56,1),(57,1)}
      51:{1,2,4,6}:{(42,1),(43,1),(46,1),(57,1),(58,1)}
      52:{3,4,6}:{(44,1),(56,1),(58,1)}
      53:{1,2,3,5,6}:{(44,1),(45,1),(46,1),(48,1),(57,1),(58,1),(59,1),(63,1)}
      54:{1,2,4,6}:{(47,1),(48,1),(49,1),(58,1),(59,1)}
      55:{1,2,3,5}:{(49,1),(59,1),(60,1),(63,1)}
      56:{3,4,5}:{(50,1),(52,1),(61,1)}
      57:{1,2,5}:{(50,1),(51,1),(61,1)}
      58:{1,4,6}:{(52,1),(53,1),(61,1)}
      59:{1,2,3,6}:{(54,1),(55,1),(62,1)}
      60:{1,3,4}:{(55,1)}
      61:{1,4,5}:{(56,1),(57,1),(58,1),(63,1)}
      62:{1,3,4,6}:{(58,1),(59,1),(60,1),(63,1)}
      63:{1,3,5}:{(61,1),(62,1)}

581 :  0:{1,3,4,5,6}:{(1,1),(9,1),(21,1),(34,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(21,1)}
       3:{1,2,4,5}:{(2,1),(6,1),(15,1)}
       4:{2,3,4,6}:{(2,1),(6,1),(12,1)}
       5:{1,2,4,5,6}:{(3,1),(8,1),(18,1),(21,1),(36,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,3,4,6}:{(4,1),(10,1),(21,1),(32,1),(35,1)}
       8:{2,3,5,6}:{(5,1),(6,1),(12,1)}
       9:{3,4,5}:{(6,1),(12,1),(15,1)}
      10:{1,2,3,5}:{(6,1),(7,1),(15,1)}
      11:{1,3,4,5,6}:{(16,1),(34,1),(41,1),(43,1)}
      12:{3,4,6}:{(8,1),(9,1),(21,1)}
      13:{1,2,3,5,6}:{(8,1),(10,1),(21,1),(34,1),(35,1),(36,1)}
      14:{2,3,4,5}:{(9,1),(20,1),(22,1),(41,1)}
      15:{1,4,5}:{(9,1),(10,1),(21,1)}
      16:{1,2,3,5,6}:{(11,1),(23,1),(37,1)}
      17:{1,3,4,5}:{(15,1),(25,1),(26,1),(44,1)}
      18:{2,4,5,6}:{(27,1)}
      19:{3,4,5,6}:{(12,1),(27,1),(28,1),(39,1)}
      20:{2,3,4,6}:{(12,1),(14,1),(27,1),(29,1),(39,1)}
      21:{1,4,6}:{(12,1),(13,1),(15,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(26,1),(29,1),(44,1)}
      23:{1,2,4,6}:{(16,1),(30,1),(31,1),(43,1)}
      24:{1,2,4,5,6}:{(18,1),(30,1),(33,1),(36,1),(43,1)}
      25:{1,3,4,6}:{(17,1),(21,1),(34,1),(35,1),(43,1)}
      26:{1,2,3,5}:{(17,1),(22,1),(32,1),(35,1)}
      27:{2,3,5,6}:{(18,1),(19,1),(20,1),(36,1)}
      28:{1,4,5,6}:{(19,1),(21,1),(34,1),(36,1),(43,1)}
      29:{1,2,4,6}:{(20,1),(21,1),(22,1),(35,1),(36,1),(43,1)}
      30:{1,2,4,5}:{(23,1),(37,1),(44,1)}
      31:{2,3,4,6}:{(23,1),(37,1),(39,1)}
      32:{1,2,3,4}:{(26,1)}
      33:{2,3,5,6}:{(24,1),(37,1),(39,1)}
      34:{1,3,5,6}:{(25,1),(28,1)}
      35:{1,2,3,6}:{(25,1),(26,1),(29,1)}
      36:{1,2,5,6}:{(27,1),(28,1),(29,1)}
      37:{2,3,5}:{(30,1),(31,1),(41,1)}
      38:{1,2,3,4,6}:{(31,1),(32,1),(35,1),(42,1),(43,1)}
      39:{3,4,6}:{(33,1),(41,1),(43,1)}
      40:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(36,1),(42,1),(43,1)}
      41:{3,4,5}:{(37,1),(39,1),(44,1)}
      42:{1,2,3,5}:{(37,1),(38,1),(44,1)}
      43:{1,4,6}:{(39,1),(40,1),(44,1)}
      44:{1,4,5}:{(41,1),(42,1),(43,1)}

582 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

583 :  0:{2,3,4,5}:{(1,1),(2,1),(31,1)}
       1:{1,2,4,5}:{(0,1),(5,1),(6,1),(37,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(6,1),(21,1)}
       3:{2,4,5,6}:{(4,1),(39,1)}
       4:{2,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1),(11,1),(28,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1),(26,1)}
       7:{1,2,4,5,6}:{(3,1),(9,1),(13,1),(26,1),(46,1),(47,1),(50,1),(59,1)}
       8:{3,4,5,6}:{(4,1),(14,1),(21,1),(39,1),(54,1)}
       9:{1,2,5,6}:{(4,1),(6,1),(14,1)}
      10:{1,3,4}:{(5,1)}
      11:{1,2,3,6}:{(5,1),(6,1),(19,1)}
      12:{2,3,4,5}:{(16,1),(20,1),(56,1)}
      13:{2,3,5,6}:{(7,1),(21,1),(41,1),(54,1),(63,1)}
      14:{1,4,5,6}:{(8,1),(9,1),(22,1),(26,1)}
      15:{1,3,4,5}:{(10,1),(23,1),(24,1),(28,1),(48,1)}
      16:{1,2,4,5}:{(12,1),(23,1),(25,1),(48,1)}
      17:{1,2,3,5,6}:{(9,1),(11,1),(13,1),(22,1),(26,1),(28,1),(42,1),(47,1)}
      18:{1,2,3,4}:{(10,1),(23,1)}
      19:{1,3,4,6}:{(10,1),(11,1),(26,1),(28,1)}
      20:{2,3,4,6}:{(12,1),(25,1),(29,1),(60,1)}
      21:{3,4,6}:{(13,1),(26,1),(31,1)}
      22:{1,3,5,6}:{(14,1),(32,1),(54,1)}
      23:{1,2,3,5}:{(15,1),(16,1),(18,1),(33,1)}
      24:{1,3,4,6}:{(15,1),(33,1),(34,1),(53,1)}
      25:{1,2,4,6}:{(16,1),(20,1),(33,1),(35,1),(53,1)}
      26:{1,4,6}:{(17,1),(21,1),(37,1)}
      27:{1,2,3,4,6}:{(18,1),(19,1),(33,1),(36,1),(38,1),(53,1),(62,1),(63,1)}
      28:{1,3,5}:{(19,1),(37,1)}
      29:{2,3,5,6}:{(20,1),(35,1),(39,1),(54,1)}
      30:{2,3,4,6}:{(21,1),(36,1),(41,1),(57,1),(62,1),(63,1)}
      31:{3,4,5}:{(21,1),(37,1),(41,1)}
      32:{1,3,4,6}:{(22,1),(26,1),(42,1),(43,1),(60,1)}
      33:{1,2,3,6}:{(23,1),(24,1),(25,1)}
      34:{1,3,5,6}:{(24,1),(28,1),(44,1)}
      35:{1,2,5,6}:{(25,1),(29,1),(46,1)}
      36:{1,2,4,6}:{(26,1),(30,1),(42,1),(47,1),(58,1)}
      37:{1,4,5}:{(26,1),(28,1),(31,1),(47,1)}
      38:{1,2,3,5}:{(27,1),(28,1),(47,1),(48,1),(61,1)}
      39:{4,5,6}:{(29,1)}
      40:{3,4,5,6}:{(31,1),(44,1),(49,1),(60,1)}
      41:{2,3,5}:{(30,1),(31,1),(47,1),(50,1)}
      42:{1,2,3,6}:{(32,1),(36,1),(51,1),(63,1)}
      43:{1,3,4,5}:{(32,1),(37,1),(51,1),(56,1)}
      44:{1,4,5,6}:{(34,1),(37,1),(40,1),(52,1),(53,1)}
      45:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(38,1),(52,1),(53,1),(54,1),(63,1)}
      46:{1,4,5,6}:{(35,1),(39,1),(53,1),(54,1)}
      47:{1,2,5}:{(36,1),(37,1),(41,1)}
      48:{1,4,5}:{(38,1),(53,1),(56,1)}
      49:{2,3,5,6}:{(40,1),(41,1),(52,1),(57,1),(63,1)}
      50:{2,4,5}:{(41,1),(57,1)}
      51:{1,2,3,5}:{(42,1),(43,1),(47,1),(58,1),(61,1)}
      52:{1,2,5,6}:{(44,1),(47,1),(49,1),(59,1)}
      53:{1,4,6}:{(45,1),(48,1),(60,1)}
      54:{3,5,6}:{(46,1),(60,1)}
      55:{1,2,4,5}:{(47,1),(48,1),(50,1),(58,1),(59,1),(61,1)}
      56:{3,4,5}:{(48,1),(60,1),(61,1)}
      57:{2,4,6}:{(49,1),(50,1)}
      58:{1,2,4}:{(51,1),(62,1)}
      59:{1,2,4,6}:{(52,1),(53,1),(55,1),(57,1),(63,1)}
      60:{3,4,6}:{(53,1),(54,1),(56,1),(63,1)}
      61:{2,3,5}:{(55,1),(56,1),(62,1),(63,1)}
      62:{2,3,4}:{(58,1),(61,1)}
      63:{2,3,6}:{(59,1),(60,1),(61,1)}

584 :  0:{2,3,4,5,6}:{(1,1),(11,1)}
       1:{1,2,4,5,6}:{(0,1),(2,1),(9,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(7,1)}
       3:{1,3,4,6}:{(2,1),(5,1)}
       4:{1,2,3,4,6}:{(3,1),(7,1),(10,1)}
       5:{1,3,4,5}:{(3,1),(7,1)}
       6:{1,3,4,5,6}:{(5,1),(8,1),(17,1)}
       7:{1,2,3,5}:{(4,1),(5,1),(9,1)}
       8:{1,2,3,5,6}:{(6,1),(7,1),(10,1),(15,1)}
       9:{1,2,4,5}:{(7,1),(10,1),(11,1)}
      10:{1,2,4,6}:{(8,1),(9,1),(13,1)}
      11:{2,3,4,5}:{(9,1),(13,1)}
      12:{1,2,4,5,6}:{(10,1),(15,1),(19,1)}
      13:{2,3,4,6}:{(10,1),(11,1),(15,1)}
      14:{1,2,3,4,5}:{(11,1),(16,1)}
      15:{2,3,5,6}:{(12,1),(13,1),(17,1)}
      16:{1,2,3,4,6}:{(13,1),(14,1),(18,1)}
      17:{3,4,5,6}:{(15,1),(19,1)}
      18:{1,2,3,5,6}:{(15,1),(16,1),(19,1)}
      19:{1,4,5,6}:{(17,1),(18,1)}

585 :  0:{1,2,4,5,6}:{(2,1),(8,1),(29,1),(31,1),(35,1),(47,1),(51,1),(57,1)}
       1:{1,2,3,4,6}:{(3,1),(13,1),(27,1),(32,1),(33,1),(45,1),(48,1),(58,1)}
       2:{2,3,5,6}:{(0,1),(5,1),(19,1),(54,1),(59,1)}
       3:{1,2,3,5}:{(1,1),(6,1),(20,1),(52,1),(59,1)}
       4:{1,2,3,5,6}:{(2,1),(8,1),(27,1),(28,1),(29,1)}
       5:{3,4,6}:{(2,1),(8,1),(10,1),(51,1)}
       6:{1,4,5}:{(3,1),(11,1),(13,1),(48,1)}
       7:{1,2,3,5,6}:{(3,1),(13,1),(33,1),(34,1),(35,1)}
       8:{1,4,6}:{(4,1),(5,1),(17,1)}
       9:{2,3,4,6}:{(5,1),(16,1),(19,1),(42,1),(54,1),(55,1)}
      10:{3,4,5}:{(5,1),(17,1),(19,1),(55,1),(56,1),(59,1)}
      11:{3,4,5}:{(6,1),(20,1),(21,1),(55,1),(56,1),(59,1)}
      12:{1,2,4,5}:{(6,1),(20,1),(22,1),(36,1),(52,1),(56,1)}
      13:{1,4,6}:{(6,1),(7,1),(21,1)}
      14:{1,3,4,5}:{(11,1),(24,1),(25,1),(28,1),(48,1),(57,1)}
      15:{1,3,4,6}:{(8,1),(27,1),(28,1),(48,1),(58,1)}
      16:{1,2,4,6}:{(8,1),(9,1),(27,1),(29,1),(48,1)}
      17:{1,4,5}:{(8,1),(10,1),(28,1),(29,1),(48,1)}
      18:{3,4,5,6}:{(10,1),(26,1),(30,1),(34,1),(51,1),(58,1)}
      19:{2,3,5}:{(9,1),(10,1),(29,1),(31,1)}
      20:{2,3,5}:{(11,1),(12,1),(32,1),(33,1)}
      21:{3,4,6}:{(11,1),(13,1),(33,1),(34,1),(51,1)}
      22:{1,2,4,6}:{(12,1),(13,1),(33,1),(35,1),(51,1)}
      23:{1,4,5,6}:{(13,1),(34,1),(35,1),(51,1),(57,1)}
      24:{1,2,3,5}:{(14,1),(20,1),(36,1),(37,1),(52,1)}
      25:{1,3,4,6}:{(14,1),(21,1),(37,1),(38,1),(53,1)}
      26:{1,4,5,6}:{(17,1),(18,1),(38,1),(39,1),(53,1)}
      27:{1,2,3,6}:{(15,1),(16,1),(40,1),(54,1)}
      28:{1,3,5}:{(15,1),(17,1),(59,1)}
      29:{1,2,5}:{(16,1),(17,1),(19,1)}
      30:{2,3,5,6}:{(18,1),(19,1),(39,1),(42,1),(54,1)}
      31:{2,4,5}:{(19,1),(42,1),(56,1)}
      32:{2,3,4}:{(20,1),(36,1),(55,1)}
      33:{2,3,6}:{(20,1),(21,1),(22,1)}
      34:{3,5,6}:{(21,1),(23,1),(59,1)}
      35:{1,2,5,6}:{(22,1),(23,1),(44,1),(52,1)}
      36:{1,2,4}:{(24,1),(32,1),(48,1)}
      37:{1,2,3,6}:{(24,1),(25,1),(33,1),(45,1)}
      38:{1,3,5,6}:{(25,1),(26,1),(28,1),(34,1)}
      39:{1,2,5,6}:{(26,1),(29,1),(30,1),(47,1)}
      40:{1,2,3,5}:{(27,1),(28,1),(29,1),(48,1),(49,1)}
      41:{1,2,4,5}:{(29,1),(31,1),(47,1),(48,1),(49,1),(57,1)}
      42:{2,4,6}:{(30,1),(31,1),(51,1)}
      43:{2,3,4,6}:{(32,1),(33,1),(45,1),(50,1),(51,1),(58,1)}
      44:{2,3,5,6}:{(33,1),(34,1),(35,1),(50,1),(51,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(43,1),(52,1),(53,1)}
      46:{1,2,3,5,6}:{(37,1),(38,1),(39,1),(40,1),(44,1),(52,1),(53,1),(54,1),(59,1)}
      47:{1,2,4,6}:{(39,1),(41,1),(42,1),(53,1),(54,1)}
      48:{1,4}:{(40,1),(55,1)}
      49:{2,3,5}:{(41,1),(54,1),(55,1),(59,1)}
      50:{2,3,5}:{(43,1),(52,1),(56,1),(59,1)}
      51:{4,6}:{(44,1),(56,1)}
      52:{1,2,5}:{(45,1),(50,1),(57,1)}
      53:{1,4,6}:{(46,1),(48,1),(51,1),(57,1),(58,1)}
      54:{2,3,6}:{(47,1),(49,1),(58,1)}
      55:{3,4}:{(48,1),(49,1)}
      56:{4,5}:{(50,1),(51,1)}
      57:{1,4,5}:{(52,1),(53,1),(56,1),(59,1)}
      58:{3,4,6}:{(53,1),(54,1),(55,1),(59,1)}
      59:{3,5}:{(57,1),(58,1)}

586 :  0:{2,3,4,5}:{(2,1),(3,1),(23,1)}
       1:{1,2,3,4}:{(6,1),(48,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(16,1)}
       3:{2,3,4,6}:{(0,1),(5,1),(7,1),(35,1)}
       4:{1,2,3,4,6}:{(1,1),(9,1),(12,1),(26,1),(41,1),(45,1),(56,1),(57,1)}
       5:{2,3,5,6}:{(3,1),(8,1),(10,1),(24,1)}
       6:{1,2,3,5}:{(1,1),(2,1),(11,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(10,1),(12,1),(26,1)}
       8:{4,5,6}:{(5,1)}
       9:{1,2,3,5}:{(4,1),(16,1),(34,1),(61,1),(62,1)}
      10:{1,2,5,6}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,5}:{(6,1),(16,1),(18,1),(48,1),(61,1)}
      12:{1,2,3,6}:{(6,1),(7,1),(18,1)}
      13:{2,4,5,6}:{(8,1),(20,1)}
      14:{3,4,5,6}:{(8,1),(20,1),(22,1),(24,1),(42,1)}
      15:{1,4,5,6}:{(8,1),(10,1),(24,1),(26,1)}
      16:{1,4,5}:{(9,1),(23,1),(26,1)}
      17:{1,2,3,5,6}:{(9,1),(10,1),(12,1),(24,1),(26,1),(27,1),(45,1),(47,1)}
      18:{1,3,4,6}:{(11,1),(12,1),(26,1),(27,1)}
      19:{2,3,4,5}:{(28,1),(29,1),(53,1)}
      20:{2,3,5,6}:{(13,1),(14,1),(29,1),(30,1)}
      21:{1,2,4,5,6}:{(13,1),(15,1),(30,1),(31,1),(36,1),(51,1),(62,1),(63,1)}
      22:{1,4,5,6}:{(14,1),(30,1),(33,1),(51,1)}
      23:{3,4,5}:{(16,1),(34,1),(35,1)}
      24:{3,5,6}:{(15,1),(35,1)}
      25:{1,2,4,5}:{(16,1),(34,1),(36,1),(50,1),(62,1),(63,1)}
      26:{1,4,6}:{(16,1),(17,1),(35,1)}
      27:{1,3,5,6}:{(18,1),(37,1),(61,1)}
      28:{1,2,4,5}:{(19,1),(38,1),(39,1),(58,1)}
      29:{2,3,4,6}:{(19,1),(20,1),(39,1),(42,1)}
      30:{1,2,5,6}:{(20,1),(22,1),(39,1)}
      31:{2,3,5,6}:{(21,1),(24,1),(42,1),(45,1),(59,1)}
      32:{1,3,4,5}:{(23,1),(43,1),(44,1),(58,1)}
      33:{1,3,5,6}:{(22,1),(24,1),(44,1)}
      34:{2,3,5}:{(23,1),(25,1),(41,1),(45,1)}
      35:{3,4,6}:{(23,1),(24,1),(26,1),(45,1)}
      36:{1,2,4,6}:{(25,1),(26,1),(45,1),(47,1),(60,1)}
      37:{1,4,5,6}:{(26,1),(27,1),(46,1),(47,1),(58,1)}
      38:{1,2,3,5}:{(28,1),(48,1),(49,1),(61,1)}
      39:{1,2,4,6}:{(28,1),(29,1),(30,1),(49,1),(51,1)}
      40:{1,2,3,5,6}:{(30,1),(31,1),(33,1),(49,1),(51,1),(54,1),(61,1),(62,1)}
      41:{2,3,4}:{(34,1),(50,1)}
      42:{3,4,6}:{(31,1),(51,1),(53,1)}
      43:{1,2,3,5}:{(32,1),(34,1),(50,1),(54,1),(62,1)}
      44:{1,3,4,6}:{(32,1),(33,1),(35,1),(51,1),(54,1)}
      45:{2,3,6}:{(34,1),(35,1),(36,1)}
      46:{3,4,5,6}:{(35,1),(37,1),(53,1),(55,1)}
      47:{1,2,5,6}:{(36,1),(37,1),(55,1),(62,1)}
      48:{1,3,4}:{(38,1)}
      49:{1,2,3,6}:{(38,1),(39,1),(56,1)}
      50:{1,2,4}:{(41,1),(43,1)}
      51:{1,4,6}:{(40,1),(42,1),(58,1)}
      52:{2,3,4,6}:{(41,1),(42,1),(45,1),(57,1),(59,1),(60,1)}
      53:{3,4,5}:{(42,1),(58,1),(59,1)}
      54:{1,2,3,6}:{(43,1),(44,1),(45,1),(57,1)}
      55:{2,3,5,6}:{(45,1),(46,1),(47,1),(59,1),(60,1)}
      56:{1,3,4,6}:{(48,1),(49,1),(51,1),(61,1)}
      57:{1,2,4,6}:{(50,1),(51,1),(52,1),(54,1),(62,1)}
      58:{1,4,5}:{(51,1),(53,1),(61,1),(62,1)}
      59:{2,3,5}:{(52,1),(53,1),(62,1),(63,1)}
      60:{2,4,6}:{(55,1),(63,1)}
      61:{1,3,5}:{(56,1),(58,1)}
      62:{1,2,5}:{(57,1),(58,1),(59,1)}
      63:{2,4,5}:{(59,1),(60,1)}

587 :  0:{2,3,4,5}:{(2,1),(3,1),(51,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(31,1),(41,1),(49,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(7,1),(41,1)}
       3:{2,3,4,6}:{(0,1),(7,1),(8,1),(43,1)}
       4:{2,3,4,5}:{(10,1),(11,1),(46,1)}
       5:{1,2,3,5}:{(1,1),(2,1),(12,1),(13,1)}
       6:{1,3,4,6}:{(1,1),(13,1),(14,1),(34,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(13,1),(15,1),(34,1)}
       8:{2,3,5,6}:{(3,1),(15,1),(16,1),(35,1)}
       9:{2,4,5,6}:{(16,1),(19,1)}
      10:{2,3,4,6}:{(4,1),(19,1),(21,1),(38,1)}
      11:{1,2,4,5}:{(4,1),(20,1),(21,1),(55,1)}
      12:{1,2,3,4}:{(5,1),(31,1)}
      13:{1,2,3,6}:{(5,1),(6,1),(7,1)}
      14:{1,3,5,6}:{(6,1),(23,1),(49,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(25,1)}
      16:{4,5,6}:{(8,1)}
      17:{3,4,5,6}:{(23,1),(27,1),(43,1),(46,1)}
      18:{1,2,4,5,6}:{(9,1),(25,1),(28,1),(29,1),(42,1),(45,1),(48,1),(60,1)}
      19:{2,3,5,6}:{(9,1),(10,1),(26,1),(29,1)}
      20:{1,2,3,5}:{(11,1),(30,1),(31,1),(49,1)}
      21:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1),(48,1)}
      22:{1,2,3,4,6}:{(12,1),(13,1),(32,1),(34,1),(40,1),(52,1),(56,1),(61,1)}
      23:{1,4,5,6}:{(14,1),(17,1),(33,1),(34,1),(55,1)}
      24:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(32,1),(33,1),(34,1),(35,1),(52,1)}
      25:{1,4,5,6}:{(15,1),(16,1),(34,1),(35,1)}
      26:{3,4,5,6}:{(16,1),(19,1),(35,1),(36,1),(38,1)}
      27:{2,3,5,6}:{(17,1),(33,1),(37,1),(52,1),(54,1)}
      28:{2,3,5,6}:{(18,1),(35,1),(38,1),(52,1),(54,1)}
      29:{1,2,5,6}:{(19,1),(21,1),(36,1)}
      30:{1,2,3,6}:{(20,1),(21,1),(40,1)}
      31:{1,3,4}:{(20,1)}
      32:{1,2,3,5}:{(22,1),(41,1),(49,1),(57,1),(60,1)}
      33:{1,2,5,6}:{(23,1),(27,1),(42,1),(60,1)}
      34:{1,4,6}:{(24,1),(41,1),(43,1)}
      35:{3,5,6}:{(25,1),(43,1)}
      36:{1,4,5,6}:{(26,1),(29,1),(44,1),(48,1)}
      37:{2,4,6}:{(27,1),(45,1)}
      38:{3,4,6}:{(28,1),(46,1),(48,1)}
      39:{1,2,3,5,6}:{(28,1),(29,1),(30,1),(44,1),(48,1),(49,1),(59,1),(60,1)}
      40:{1,3,4,6}:{(30,1),(31,1),(48,1),(49,1)}
      41:{1,4,5}:{(32,1),(34,1),(51,1)}
      42:{1,2,4,6}:{(33,1),(34,1),(37,1),(50,1),(52,1)}
      43:{3,4,6}:{(34,1),(35,1),(51,1),(52,1)}
      44:{1,3,5,6}:{(35,1),(36,1),(53,1)}
      45:{2,4,5}:{(37,1),(54,1)}
      46:{3,4,5}:{(38,1),(54,1),(55,1)}
      47:{2,3,4,6}:{(37,1),(38,1),(52,1),(54,1),(56,1),(61,1)}
      48:{1,4,6}:{(38,1),(39,1),(55,1)}
      49:{1,3,5}:{(40,1),(55,1)}
      50:{1,2,4,5}:{(41,1),(42,1),(45,1),(57,1),(60,1),(63,1)}
      51:{3,4,5}:{(41,1),(43,1),(57,1)}
      52:{2,3,6}:{(42,1),(43,1),(57,1)}
      53:{1,3,4,6}:{(43,1),(44,1),(48,1),(58,1),(59,1)}
      54:{2,3,5}:{(45,1),(46,1),(47,1),(60,1)}
      55:{1,4,5}:{(46,1),(48,1),(49,1),(60,1)}
      56:{1,2,4,6}:{(47,1),(48,1),(59,1),(60,1),(63,1)}
      57:{2,3,5}:{(50,1),(51,1),(52,1),(61,1)}
      58:{1,3,4,5}:{(51,1),(53,1),(55,1),(62,1)}
      59:{1,2,3,6}:{(52,1),(53,1),(56,1),(62,1)}
      60:{1,2,5}:{(54,1),(55,1),(56,1)}
      61:{2,3,4}:{(57,1),(63,1)}
      62:{1,2,3,5}:{(57,1),(58,1),(59,1),(60,1),(63,1)}
      63:{1,2,4}:{(61,1),(62,1)}

588 :  0:{1,3,4,5,6}:{(1,1),(9,1),(17,1),(29,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(17,1)}
       3:{2,3,4,6}:{(2,1),(6,1),(14,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(11,1)}
       5:{1,2,3,4,6}:{(3,1),(8,1),(17,1),(26,1),(28,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,4,5,6}:{(4,1),(10,1),(17,1),(30,1),(31,1)}
       8:{1,2,3,5}:{(5,1),(6,1),(11,1)}
       9:{3,4,5}:{(6,1),(11,1),(14,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(14,1)}
      11:{1,4,5}:{(8,1),(9,1),(17,1)}
      12:{1,2,3,5,6}:{(8,1),(10,1),(17,1),(28,1),(29,1),(30,1)}
      13:{2,3,4,5}:{(9,1),(16,1),(18,1),(44,1)}
      14:{3,4,6}:{(9,1),(10,1),(17,1)}
      15:{1,3,4,5}:{(11,1),(21,1),(22,1),(41,1)}
      16:{1,2,4,5}:{(11,1),(13,1),(21,1),(23,1),(41,1)}
      17:{1,4,6}:{(11,1),(12,1),(14,1)}
      18:{2,3,4,6}:{(13,1),(14,1),(23,1),(25,1),(43,1)}
      19:{3,4,5,6}:{(14,1),(24,1),(25,1),(43,1)}
      20:{1,3,4,5,6}:{(27,1),(29,1),(39,1),(44,1)}
      21:{1,2,3,5}:{(15,1),(16,1),(26,1),(28,1)}
      22:{1,3,4,6}:{(15,1),(17,1),(28,1),(29,1),(39,1)}
      23:{1,2,4,6}:{(16,1),(17,1),(18,1),(28,1),(30,1),(39,1)}
      24:{1,4,5,6}:{(17,1),(19,1),(29,1),(30,1),(39,1)}
      25:{2,3,5,6}:{(18,1),(19,1),(30,1),(31,1)}
      26:{1,2,3,4}:{(21,1)}
      27:{1,2,3,5,6}:{(20,1),(33,1),(42,1)}
      28:{1,2,3,6}:{(21,1),(22,1),(23,1)}
      29:{1,3,5,6}:{(22,1),(24,1)}
      30:{1,2,5,6}:{(23,1),(24,1),(25,1)}
      31:{2,4,5,6}:{(25,1)}
      32:{1,2,3,4,6}:{(26,1),(28,1),(36,1),(38,1),(39,1)}
      33:{1,2,4,6}:{(27,1),(37,1),(38,1),(39,1)}
      34:{1,2,3,5,6}:{(28,1),(29,1),(30,1),(36,1),(39,1),(40,1)}
      35:{1,2,4,5,6}:{(30,1),(31,1),(37,1),(39,1),(40,1)}
      36:{1,2,3,5}:{(32,1),(41,1),(42,1)}
      37:{1,2,4,5}:{(33,1),(41,1),(42,1)}
      38:{2,3,4,6}:{(33,1),(42,1),(43,1)}
      39:{1,4,6}:{(34,1),(41,1),(43,1)}
      40:{2,3,5,6}:{(35,1),(42,1),(43,1)}
      41:{1,4,5}:{(36,1),(39,1),(44,1)}
      42:{2,3,5}:{(37,1),(38,1),(44,1)}
      43:{3,4,6}:{(39,1),(40,1),(44,1)}
      44:{3,4,5}:{(41,1),(42,1),(43,1)}

589 :  0:{2,3,4,5}:{(2,1),(3,1),(25,1)}
       1:{2,4,5,6}:{(4,1),(52,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(35,1)}
       3:{2,3,4,6}:{(0,1),(4,1),(7,1),(16,1)}
       4:{2,3,5,6}:{(1,1),(3,1),(8,1),(9,1)}
       5:{1,2,4,5,6}:{(1,1),(9,1),(10,1),(23,1),(45,1),(46,1),(57,1),(58,1)}
       6:{1,2,3,5}:{(2,1),(11,1),(12,1),(27,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(9,1),(12,1),(23,1)}
       8:{3,4,5,6}:{(4,1),(13,1),(16,1),(52,1),(63,1)}
       9:{1,2,5,6}:{(4,1),(7,1),(13,1)}
      10:{2,3,5,6}:{(5,1),(16,1),(36,1),(62,1),(63,1)}
      11:{1,3,4}:{(6,1)}
      12:{1,2,3,6}:{(6,1),(7,1),(18,1)}
      13:{1,4,5,6}:{(8,1),(9,1),(19,1),(23,1)}
      14:{1,3,4,5}:{(11,1),(21,1),(22,1),(27,1),(47,1)}
      15:{1,2,3,5,6}:{(9,1),(10,1),(12,1),(19,1),(23,1),(27,1),(38,1),(45,1)}
      16:{3,4,6}:{(10,1),(23,1),(25,1)}
      17:{1,2,3,4}:{(11,1),(21,1)}
      18:{1,3,4,6}:{(11,1),(12,1),(23,1),(27,1)}
      19:{1,3,5,6}:{(13,1),(28,1),(63,1)}
      20:{2,3,4,5}:{(30,1),(31,1),(55,1)}
      21:{1,2,3,5}:{(14,1),(17,1),(30,1),(32,1)}
      22:{1,3,4,6}:{(14,1),(32,1),(33,1),(53,1)}
      23:{1,4,6}:{(15,1),(16,1),(35,1)}
      24:{2,3,4,6}:{(16,1),(34,1),(36,1),(50,1),(61,1),(62,1)}
      25:{3,4,5}:{(16,1),(35,1),(36,1)}
      26:{1,2,3,4,6}:{(17,1),(18,1),(32,1),(34,1),(37,1),(53,1),(61,1),(62,1)}
      27:{1,3,5}:{(18,1),(35,1)}
      28:{1,3,4,6}:{(19,1),(23,1),(38,1),(39,1),(59,1)}
      29:{3,4,5,6}:{(25,1),(40,1),(41,1),(59,1)}
      30:{1,2,4,5}:{(20,1),(21,1),(42,1),(47,1)}
      31:{2,3,4,6}:{(20,1),(42,1),(43,1),(59,1)}
      32:{1,2,3,6}:{(21,1),(22,1),(42,1)}
      33:{1,3,5,6}:{(22,1),(27,1),(40,1)}
      34:{1,2,4,6}:{(23,1),(24,1),(38,1),(45,1),(56,1)}
      35:{1,4,5}:{(23,1),(25,1),(27,1),(45,1)}
      36:{2,3,5}:{(24,1),(25,1),(45,1),(46,1)}
      37:{1,2,3,5}:{(26,1),(27,1),(45,1),(47,1),(60,1)}
      38:{1,2,3,6}:{(28,1),(34,1),(48,1),(62,1)}
      39:{1,3,4,5}:{(28,1),(35,1),(48,1),(55,1)}
      40:{1,4,5,6}:{(29,1),(33,1),(35,1),(49,1),(53,1)}
      41:{2,3,5,6}:{(29,1),(36,1),(49,1),(50,1),(62,1)}
      42:{1,2,4,6}:{(30,1),(31,1),(32,1),(51,1),(53,1)}
      43:{2,3,5,6}:{(31,1),(51,1),(52,1),(63,1)}
      44:{1,2,3,5,6}:{(32,1),(33,1),(37,1),(49,1),(51,1),(53,1),(62,1),(63,1)}
      45:{1,2,5}:{(34,1),(35,1),(36,1)}
      46:{2,4,5}:{(36,1),(50,1)}
      47:{1,4,5}:{(37,1),(53,1),(55,1)}
      48:{1,2,3,5}:{(38,1),(39,1),(45,1),(56,1),(60,1)}
      49:{1,2,5,6}:{(40,1),(41,1),(45,1),(57,1)}
      50:{2,4,6}:{(41,1),(46,1)}
      51:{1,2,5,6}:{(42,1),(43,1),(58,1)}
      52:{4,5,6}:{(43,1)}
      53:{1,4,6}:{(44,1),(47,1),(59,1)}
      54:{1,2,4,5}:{(45,1),(46,1),(47,1),(56,1),(57,1),(60,1)}
      55:{3,4,5}:{(47,1),(59,1),(60,1)}
      56:{1,2,4}:{(48,1),(61,1)}
      57:{1,2,4,6}:{(49,1),(50,1),(53,1),(54,1),(62,1)}
      58:{1,4,5,6}:{(51,1),(52,1),(53,1),(63,1)}
      59:{3,4,6}:{(53,1),(55,1),(62,1),(63,1)}
      60:{2,3,5}:{(54,1),(55,1),(61,1),(62,1)}
      61:{2,3,4}:{(56,1),(60,1)}
      62:{2,3,6}:{(57,1),(59,1),(60,1)}
      63:{3,5,6}:{(58,1),(59,1)}

590 :  0:{1,2,3,4,5}:{(1,1),(10,1)}
       1:{1,2,3,4,6}:{(0,1),(2,1),(8,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(6,1)}
       3:{1,4,5,6}:{(2,1),(5,1)}
       4:{1,2,4,5,6}:{(3,1),(6,1),(11,1)}
       5:{3,4,5,6}:{(3,1),(6,1)}
       6:{2,3,5,6}:{(4,1),(5,1),(8,1)}
       7:{1,3,4,5,6}:{(5,1),(9,1),(18,1)}
       8:{2,3,4,6}:{(6,1),(10,1),(11,1)}
       9:{1,2,3,5,6}:{(6,1),(7,1),(11,1),(15,1)}
      10:{2,3,4,5}:{(8,1),(14,1)}
      11:{1,2,4,6}:{(8,1),(9,1),(14,1)}
      12:{1,2,3,4,6}:{(11,1),(15,1),(19,1)}
      13:{2,3,4,5,6}:{(10,1),(16,1)}
      14:{1,2,4,5}:{(10,1),(11,1),(15,1)}
      15:{1,2,3,5}:{(12,1),(14,1),(18,1)}
      16:{1,2,4,5,6}:{(13,1),(14,1),(17,1)}
      17:{1,2,3,5,6}:{(15,1),(16,1),(19,1)}
      18:{1,3,4,5}:{(15,1),(19,1)}
      19:{1,3,4,6}:{(17,1),(18,1)}

591 :  0:{1,3,4,5,6}:{(1,1),(10,1),(22,1),(36,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(22,1)}
       3:{1,2,4,5}:{(2,1),(6,1),(16,1)}
       4:{2,3,4,6}:{(2,1),(6,1),(13,1)}
       5:{1,2,4,5,6}:{(3,1),(9,1),(19,1),(22,1),(38,1)}
       6:{2,3,5}:{(3,1),(4,1),(10,1)}
       7:{1,2,3,4,6}:{(4,1),(11,1),(22,1),(26,1),(37,1)}
       8:{1,3,4,5,6}:{(12,1),(36,1),(39,1),(44,1)}
       9:{2,3,5,6}:{(5,1),(6,1),(13,1)}
      10:{3,4,5}:{(6,1),(13,1),(16,1)}
      11:{1,2,3,5}:{(6,1),(7,1),(16,1)}
      12:{1,2,3,5,6}:{(8,1),(17,1),(33,1)}
      13:{3,4,6}:{(9,1),(10,1),(22,1)}
      14:{1,2,3,5,6}:{(9,1),(11,1),(22,1),(36,1),(37,1),(38,1)}
      15:{2,3,4,5}:{(10,1),(21,1),(23,1),(39,1)}
      16:{1,4,5}:{(10,1),(11,1),(22,1)}
      17:{1,2,4,6}:{(12,1),(24,1),(25,1),(44,1)}
      18:{1,3,4,5}:{(16,1),(28,1),(29,1),(43,1)}
      19:{2,4,5,6}:{(30,1)}
      20:{3,4,5,6}:{(13,1),(30,1),(31,1),(41,1)}
      21:{2,3,4,6}:{(13,1),(15,1),(30,1),(32,1),(41,1)}
      22:{1,4,6}:{(13,1),(14,1),(16,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(29,1),(32,1),(43,1)}
      24:{1,2,4,5}:{(17,1),(33,1),(43,1)}
      25:{2,3,4,6}:{(17,1),(33,1),(41,1)}
      26:{1,2,3,4}:{(29,1)}
      27:{1,2,4,5,6}:{(19,1),(24,1),(35,1),(38,1),(44,1)}
      28:{1,3,4,6}:{(18,1),(22,1),(36,1),(37,1),(44,1)}
      29:{1,2,3,5}:{(18,1),(23,1),(26,1),(37,1)}
      30:{2,3,5,6}:{(19,1),(20,1),(21,1),(38,1)}
      31:{1,4,5,6}:{(20,1),(22,1),(36,1),(38,1),(44,1)}
      32:{1,2,4,6}:{(21,1),(22,1),(23,1),(37,1),(38,1),(44,1)}
      33:{2,3,5}:{(24,1),(25,1),(39,1)}
      34:{1,2,3,4,6}:{(25,1),(26,1),(37,1),(40,1),(44,1)}
      35:{2,3,5,6}:{(27,1),(33,1),(41,1)}
      36:{1,3,5,6}:{(28,1),(31,1)}
      37:{1,2,3,6}:{(28,1),(29,1),(32,1)}
      38:{1,2,5,6}:{(30,1),(31,1),(32,1)}
      39:{3,4,5}:{(33,1),(41,1),(43,1)}
      40:{1,2,3,5}:{(33,1),(34,1),(43,1)}
      41:{3,4,6}:{(35,1),(39,1),(44,1)}
      42:{1,2,3,5,6}:{(35,1),(36,1),(37,1),(38,1),(40,1),(44,1)}
      43:{1,4,5}:{(39,1),(40,1),(44,1)}
      44:{1,4,6}:{(41,1),(42,1),(43,1)}

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

593 :  0:{2,3,4,5}:{(1,1),(2,1),(32,1)}
       1:{1,2,4,5}:{(0,1),(6,1),(7,1),(39,1)}
       2:{2,3,4,6}:{(0,1),(5,1),(7,1),(22,1)}
       3:{2,4,5,6}:{(5,1),(41,1)}
       4:{3,4,5,6}:{(5,1),(9,1),(22,1),(41,1),(55,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(4,1),(10,1)}
       6:{1,2,3,5}:{(1,1),(11,1),(12,1),(29,1)}
       7:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(27,1)}
       8:{1,2,4,5,6}:{(3,1),(10,1),(14,1),(27,1),(47,1),(48,1),(51,1),(60,1)}
       9:{1,4,5,6}:{(4,1),(10,1),(15,1),(27,1)}
      10:{1,2,5,6}:{(5,1),(7,1),(9,1)}
      11:{1,3,4}:{(6,1)}
      12:{1,2,3,6}:{(6,1),(7,1),(20,1)}
      13:{2,3,4,5}:{(17,1),(21,1),(57,1)}
      14:{2,3,5,6}:{(8,1),(22,1),(43,1),(55,1),(63,1)}
      15:{1,3,5,6}:{(9,1),(23,1),(55,1)}
      16:{1,3,4,5}:{(11,1),(24,1),(25,1),(29,1),(49,1)}
      17:{1,2,4,5}:{(13,1),(24,1),(26,1),(49,1)}
      18:{1,2,3,5,6}:{(10,1),(12,1),(14,1),(15,1),(27,1),(29,1),(33,1),(48,1)}
      19:{1,2,3,4}:{(11,1),(24,1)}
      20:{1,3,4,6}:{(11,1),(12,1),(27,1),(29,1)}
      21:{2,3,4,6}:{(13,1),(26,1),(30,1),(61,1)}
      22:{3,4,6}:{(14,1),(27,1),(32,1)}
      23:{1,3,4,6}:{(15,1),(27,1),(33,1),(34,1),(61,1)}
      24:{1,2,3,5}:{(16,1),(17,1),(19,1),(35,1)}
      25:{1,3,4,6}:{(16,1),(35,1),(36,1),(54,1)}
      26:{1,2,4,6}:{(17,1),(21,1),(35,1),(37,1),(54,1)}
      27:{1,4,6}:{(18,1),(22,1),(39,1)}
      28:{1,2,3,4,6}:{(19,1),(20,1),(35,1),(38,1),(40,1),(54,1),(59,1),(63,1)}
      29:{1,3,5}:{(20,1),(39,1)}
      30:{2,3,5,6}:{(21,1),(37,1),(41,1),(55,1)}
      31:{2,3,4,6}:{(22,1),(38,1),(43,1),(58,1),(59,1),(63,1)}
      32:{3,4,5}:{(22,1),(39,1),(43,1)}
      33:{1,2,3,6}:{(23,1),(38,1),(44,1),(63,1)}
      34:{1,3,4,5}:{(23,1),(39,1),(44,1),(57,1)}
      35:{1,2,3,6}:{(24,1),(25,1),(26,1)}
      36:{1,3,5,6}:{(25,1),(29,1),(45,1)}
      37:{1,2,5,6}:{(26,1),(30,1),(47,1)}
      38:{1,2,4,6}:{(27,1),(31,1),(33,1),(48,1),(52,1)}
      39:{1,4,5}:{(27,1),(29,1),(32,1),(48,1)}
      40:{1,2,3,5}:{(28,1),(29,1),(48,1),(49,1),(62,1)}
      41:{4,5,6}:{(30,1)}
      42:{3,4,5,6}:{(32,1),(45,1),(50,1),(61,1)}
      43:{2,3,5}:{(31,1),(32,1),(48,1),(51,1)}
      44:{1,2,3,5}:{(33,1),(34,1),(48,1),(52,1),(62,1)}
      45:{1,4,5,6}:{(36,1),(39,1),(42,1),(53,1),(54,1)}
      46:{1,2,3,5,6}:{(35,1),(36,1),(37,1),(40,1),(53,1),(54,1),(55,1),(63,1)}
      47:{1,4,5,6}:{(37,1),(41,1),(54,1),(55,1)}
      48:{1,2,5}:{(38,1),(39,1),(43,1)}
      49:{1,4,5}:{(40,1),(54,1),(57,1)}
      50:{2,3,5,6}:{(42,1),(43,1),(53,1),(58,1),(63,1)}
      51:{2,4,5}:{(43,1),(58,1)}
      52:{1,2,4}:{(44,1),(59,1)}
      53:{1,2,5,6}:{(45,1),(48,1),(50,1),(60,1)}
      54:{1,4,6}:{(46,1),(49,1),(61,1)}
      55:{3,5,6}:{(47,1),(61,1)}
      56:{1,2,4,5}:{(48,1),(49,1),(51,1),(52,1),(60,1),(62,1)}
      57:{3,4,5}:{(49,1),(61,1),(62,1)}
      58:{2,4,6}:{(50,1),(51,1)}
      59:{2,3,4}:{(52,1),(62,1)}
      60:{1,2,4,6}:{(53,1),(54,1),(56,1),(58,1),(63,1)}
      61:{3,4,6}:{(54,1),(55,1),(57,1),(63,1)}
      62:{2,3,5}:{(56,1),(57,1),(59,1),(63,1)}
      63:{2,3,6}:{(60,1),(61,1),(62,1)}

594 :  0:{2,3,4,5,6}:{(1,1),(11,1)}
       1:{1,2,4,5,6}:{(0,1),(2,1),(9,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(7,1)}
       3:{1,3,4,6}:{(2,1),(5,1)}
       4:{1,2,3,4,6}:{(3,1),(7,1),(10,1)}
       5:{1,3,4,5}:{(3,1),(7,1)}
       6:{1,3,4,5,6}:{(5,1),(8,1),(17,1)}
       7:{1,2,3,5}:{(4,1),(5,1),(9,1)}
       8:{1,2,3,5,6}:{(6,1),(7,1),(10,1),(15,1)}
       9:{1,2,4,5}:{(7,1),(10,1),(11,1)}
      10:{1,2,4,6}:{(8,1),(9,1),(13,1)}
      11:{2,3,4,5}:{(9,1),(13,1)}
      12:{1,2,4,5,6}:{(10,1),(15,1),(19,1)}
      13:{2,3,4,6}:{(10,1),(11,1),(15,1)}
      14:{1,2,3,4,5}:{(11,1),(16,1)}
      15:{2,3,5,6}:{(12,1),(13,1),(17,1)}
      16:{1,2,3,4,6}:{(13,1),(14,1),(18,1)}
      17:{3,4,5,6}:{(15,1),(19,1)}
      18:{1,2,3,5,6}:{(15,1),(16,1),(19,1)}
      19:{1,4,5,6}:{(17,1),(18,1)}

595 :  0:{2,3,4,5}:{(2,1),(4,1),(31,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(20,1),(44,1),(59,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(7,1),(20,1)}
       3:{1,2,3,4}:{(5,1),(44,1)}
       4:{2,3,4,6}:{(0,1),(7,1),(9,1),(39,1)}
       5:{1,2,3,5}:{(1,1),(2,1),(3,1),(10,1)}
       6:{1,3,4,6}:{(1,1),(10,1),(11,1),(28,1)}
       7:{1,2,4,6}:{(2,1),(4,1),(10,1),(12,1),(28,1)}
       8:{1,2,3,4,6}:{(3,1),(10,1),(13,1),(28,1),(48,1),(49,1),(52,1),(62,1)}
       9:{2,3,5,6}:{(4,1),(12,1),(14,1),(29,1)}
      10:{1,2,3,6}:{(5,1),(6,1),(7,1)}
      11:{1,3,5,6}:{(6,1),(17,1),(59,1)}
      12:{1,2,5,6}:{(7,1),(9,1),(19,1)}
      13:{1,2,3,5}:{(8,1),(20,1),(41,1),(59,1),(63,1)}
      14:{4,5,6}:{(9,1)}
      15:{2,3,4,5}:{(22,1),(23,1),(54,1)}
      16:{2,4,5,6}:{(14,1),(26,1)}
      17:{1,4,5,6}:{(11,1),(24,1),(27,1),(28,1),(61,1)}
      18:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(13,1),(27,1),(28,1),(29,1),(49,1)}
      19:{1,4,5,6}:{(12,1),(14,1),(28,1),(29,1)}
      20:{1,4,5}:{(13,1),(28,1),(31,1)}
      21:{3,4,5,6}:{(14,1),(26,1),(29,1),(32,1),(46,1)}
      22:{2,3,4,6}:{(15,1),(26,1),(34,1),(46,1)}
      23:{1,2,4,5}:{(15,1),(33,1),(34,1),(61,1)}
      24:{3,4,5,6}:{(17,1),(35,1),(39,1),(54,1)}
      25:{1,2,4,5,6}:{(16,1),(19,1),(36,1),(37,1),(38,1),(53,1),(56,1),(63,1)}
      26:{2,3,5,6}:{(16,1),(21,1),(22,1),(37,1)}
      27:{1,2,5,6}:{(17,1),(35,1),(38,1),(63,1)}
      28:{1,4,6}:{(18,1),(20,1),(39,1)}
      29:{3,5,6}:{(19,1),(39,1)}
      30:{1,2,4,5}:{(20,1),(38,1),(41,1),(53,1),(57,1),(63,1)}
      31:{3,4,5}:{(20,1),(39,1),(41,1)}
      32:{1,4,5,6}:{(21,1),(37,1),(40,1),(56,1)}
      33:{1,2,3,5}:{(23,1),(43,1),(44,1),(59,1)}
      34:{1,2,4,6}:{(22,1),(23,1),(37,1),(43,1),(56,1)}
      35:{2,3,5,6}:{(24,1),(27,1),(45,1),(49,1),(60,1)}
      36:{2,3,5,6}:{(25,1),(29,1),(46,1),(49,1),(60,1)}
      37:{1,2,5,6}:{(26,1),(32,1),(34,1)}
      38:{1,2,4,6}:{(27,1),(28,1),(30,1),(45,1),(49,1)}
      39:{3,4,6}:{(28,1),(29,1),(31,1),(49,1)}
      40:{1,3,5,6}:{(29,1),(32,1),(50,1)}
      41:{2,3,5}:{(30,1),(31,1),(48,1),(49,1)}
      42:{1,3,4,5}:{(31,1),(50,1),(51,1),(61,1)}
      43:{1,2,3,6}:{(33,1),(34,1),(52,1)}
      44:{1,3,4}:{(33,1)}
      45:{2,4,6}:{(35,1),(53,1)}
      46:{3,4,6}:{(36,1),(54,1),(56,1)}
      47:{1,2,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(56,1),(58,1),(59,1),(63,1)}
      48:{2,3,4}:{(41,1),(57,1)}
      49:{2,3,6}:{(38,1),(39,1),(41,1)}
      50:{1,3,4,6}:{(39,1),(40,1),(42,1),(56,1),(58,1)}
      51:{1,2,3,5}:{(41,1),(42,1),(57,1),(58,1),(63,1)}
      52:{1,3,4,6}:{(43,1),(44,1),(56,1),(59,1)}
      53:{2,4,5}:{(45,1),(60,1)}
      54:{3,4,5}:{(46,1),(60,1),(61,1)}
      55:{2,3,4,6}:{(45,1),(46,1),(48,1),(49,1),(60,1),(62,1)}
      56:{1,4,6}:{(46,1),(47,1),(61,1)}
      57:{1,2,4}:{(48,1),(51,1)}
      58:{1,2,3,6}:{(49,1),(50,1),(51,1),(62,1)}
      59:{1,3,5}:{(52,1),(61,1)}
      60:{2,3,5}:{(53,1),(54,1),(55,1),(63,1)}
      61:{1,4,5}:{(54,1),(56,1),(59,1),(63,1)}
      62:{1,2,4,6}:{(55,1),(56,1),(57,1),(58,1),(63,1)}
      63:{1,2,5}:{(60,1),(61,1),(62,1)}

596 :  0:{2,4,5,6}:{(3,1),(57,1)}
       1:{3,4,5,6}:{(3,1),(5,1),(14,1),(57,1),(63,1)}
       2:{2,3,4,5}:{(6,1),(7,1),(20,1)}
       3:{2,3,5,6}:{(0,1),(1,1),(7,1),(8,1)}
       4:{1,2,4,5,6}:{(0,1),(8,1),(9,1),(18,1),(38,1),(39,1),(53,1),(61,1)}
       5:{1,4,5,6}:{(1,1),(8,1),(10,1),(18,1)}
       6:{1,2,4,5}:{(2,1),(11,1),(12,1),(28,1)}
       7:{2,3,4,6}:{(2,1),(3,1),(12,1),(14,1)}
       8:{1,2,5,6}:{(3,1),(5,1),(12,1)}
       9:{2,3,5,6}:{(4,1),(14,1),(29,1),(59,1),(63,1)}
      10:{1,3,5,6}:{(5,1),(15,1),(63,1)}
      11:{1,2,3,5}:{(6,1),(16,1),(17,1),(37,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(18,1)}
      13:{1,2,3,5,6}:{(8,1),(9,1),(10,1),(17,1),(18,1),(21,1),(37,1),(38,1)}
      14:{3,4,6}:{(9,1),(18,1),(20,1)}
      15:{1,3,4,6}:{(10,1),(18,1),(21,1),(22,1),(62,1)}
      16:{1,3,4}:{(11,1)}
      17:{1,2,3,6}:{(11,1),(12,1),(26,1)}
      18:{1,4,6}:{(13,1),(14,1),(28,1)}
      19:{2,3,4,6}:{(14,1),(27,1),(29,1),(46,1),(49,1),(59,1)}
      20:{3,4,5}:{(14,1),(28,1),(29,1)}
      21:{1,2,3,6}:{(15,1),(27,1),(30,1),(59,1)}
      22:{1,3,4,5}:{(15,1),(28,1),(30,1),(60,1)}
      23:{1,3,4,5}:{(16,1),(32,1),(33,1),(37,1),(54,1)}
      24:{3,4,5,6}:{(20,1),(34,1),(35,1),(62,1)}
      25:{1,2,3,4}:{(16,1),(32,1)}
      26:{1,3,4,6}:{(16,1),(17,1),(18,1),(37,1)}
      27:{1,2,4,6}:{(18,1),(19,1),(21,1),(38,1),(40,1)}
      28:{1,4,5}:{(18,1),(20,1),(37,1),(38,1)}
      29:{2,3,5}:{(19,1),(20,1),(38,1),(39,1)}
      30:{1,2,3,5}:{(21,1),(22,1),(38,1),(40,1),(55,1)}
      31:{2,3,4,5}:{(41,1),(42,1),(60,1)}
      32:{1,2,3,5}:{(23,1),(25,1),(41,1),(43,1)}
      33:{1,3,4,6}:{(23,1),(43,1),(44,1),(58,1)}
      34:{1,4,5,6}:{(24,1),(28,1),(44,1),(45,1),(58,1)}
      35:{2,3,5,6}:{(24,1),(29,1),(45,1),(46,1),(59,1)}
      36:{1,2,3,4,6}:{(25,1),(26,1),(27,1),(43,1),(47,1),(49,1),(58,1),(59,1)}
      37:{1,3,5}:{(26,1),(28,1)}
      38:{1,2,5}:{(27,1),(28,1),(29,1)}
      39:{2,4,5}:{(29,1),(46,1)}
      40:{1,2,4}:{(30,1),(49,1)}
      41:{1,2,4,5}:{(31,1),(32,1),(50,1),(54,1)}
      42:{2,3,4,6}:{(31,1),(50,1),(51,1),(62,1)}
      43:{1,2,3,6}:{(32,1),(33,1),(50,1)}
      44:{1,3,5,6}:{(33,1),(34,1),(37,1)}
      45:{1,2,5,6}:{(34,1),(35,1),(38,1),(53,1)}
      46:{2,4,6}:{(35,1),(39,1)}
      47:{1,2,3,5}:{(36,1),(37,1),(38,1),(54,1),(55,1)}
      48:{1,2,4,5}:{(38,1),(39,1),(40,1),(53,1),(54,1),(55,1)}
      49:{2,3,4}:{(40,1),(55,1)}
      50:{1,2,4,6}:{(41,1),(42,1),(43,1),(56,1),(58,1)}
      51:{2,3,5,6}:{(42,1),(56,1),(57,1),(63,1)}
      52:{1,2,3,5,6}:{(43,1),(44,1),(45,1),(47,1),(56,1),(58,1),(59,1),(63,1)}
      53:{1,2,4,6}:{(45,1),(46,1),(48,1),(58,1),(59,1)}
      54:{1,4,5}:{(47,1),(58,1),(60,1)}
      55:{2,3,5}:{(48,1),(49,1),(59,1),(60,1)}
      56:{1,2,5,6}:{(50,1),(51,1),(61,1)}
      57:{4,5,6}:{(51,1)}
      58:{1,4,6}:{(52,1),(54,1),(62,1)}
      59:{2,3,6}:{(53,1),(55,1),(62,1)}
      60:{3,4,5}:{(54,1),(55,1),(62,1)}
      61:{1,4,5,6}:{(56,1),(57,1),(58,1),(63,1)}
      62:{3,4,6}:{(58,1),(59,1),(60,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

597 :  0:{1,3,4,5,6}:{(1,1),(9,1),(18,1),(31,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(18,1)}
       3:{2,3,4,6}:{(2,1),(6,1),(14,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(11,1)}
       5:{1,2,3,4,6}:{(3,1),(8,1),(18,1),(21,1),(30,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,4,5,6}:{(4,1),(10,1),(18,1),(32,1),(33,1)}
       8:{1,2,3,5}:{(5,1),(6,1),(11,1)}
       9:{3,4,5}:{(6,1),(11,1),(14,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(14,1)}
      11:{1,4,5}:{(8,1),(9,1),(18,1)}
      12:{1,2,3,5,6}:{(8,1),(10,1),(18,1),(30,1),(31,1),(32,1)}
      13:{2,3,4,5}:{(9,1),(17,1),(19,1),(43,1)}
      14:{3,4,6}:{(9,1),(10,1),(18,1)}
      15:{1,3,4,5,6}:{(22,1),(31,1),(41,1),(43,1)}
      16:{1,3,4,5}:{(11,1),(23,1),(24,1),(39,1)}
      17:{1,2,4,5}:{(11,1),(13,1),(23,1),(25,1),(39,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1)}
      19:{2,3,4,6}:{(13,1),(14,1),(25,1),(27,1),(44,1)}
      20:{3,4,5,6}:{(14,1),(26,1),(27,1),(44,1)}
      21:{1,2,3,4}:{(23,1)}
      22:{1,2,3,5,6}:{(15,1),(29,1),(40,1)}
      23:{1,2,3,5}:{(16,1),(17,1),(21,1),(30,1)}
      24:{1,3,4,6}:{(16,1),(18,1),(30,1),(31,1),(41,1)}
      25:{1,2,4,6}:{(17,1),(18,1),(19,1),(30,1),(32,1),(41,1)}
      26:{1,4,5,6}:{(18,1),(20,1),(31,1),(32,1),(41,1)}
      27:{2,3,5,6}:{(19,1),(20,1),(32,1),(33,1)}
      28:{1,2,3,4,6}:{(21,1),(30,1),(34,1),(36,1),(41,1)}
      29:{1,2,4,6}:{(22,1),(35,1),(36,1),(41,1)}
      30:{1,2,3,6}:{(23,1),(24,1),(25,1)}
      31:{1,3,5,6}:{(24,1),(26,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(27,1)}
      33:{2,4,5,6}:{(27,1)}
      34:{1,2,3,5}:{(28,1),(39,1),(40,1)}
      35:{1,2,4,5}:{(29,1),(39,1),(40,1)}
      36:{2,3,4,6}:{(29,1),(40,1),(44,1)}
      37:{1,2,3,5,6}:{(30,1),(31,1),(32,1),(34,1),(41,1),(42,1)}
      38:{1,2,4,5,6}:{(32,1),(33,1),(35,1),(41,1),(42,1)}
      39:{1,4,5}:{(34,1),(41,1),(43,1)}
      40:{2,3,5}:{(35,1),(36,1),(43,1)}
      41:{1,4,6}:{(37,1),(39,1),(44,1)}
      42:{2,3,5,6}:{(38,1),(40,1),(44,1)}
      43:{3,4,5}:{(39,1),(40,1),(44,1)}
      44:{3,4,6}:{(41,1),(42,1),(43,1)}

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

599 :  0:{2,3,4,5}:{(2,1),(3,1),(25,1)}
       1:{1,2,3,4}:{(6,1),(40,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(17,1)}
       3:{2,3,4,6}:{(0,1),(5,1),(7,1),(37,1)}
       4:{1,2,3,4,6}:{(1,1),(9,1),(12,1),(28,1),(43,1),(47,1),(50,1),(58,1)}
       5:{2,3,5,6}:{(3,1),(8,1),(10,1),(26,1)}
       6:{1,2,3,5}:{(1,1),(2,1),(11,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(10,1),(12,1),(28,1)}
       8:{4,5,6}:{(5,1)}
       9:{1,2,3,5}:{(4,1),(17,1),(36,1),(57,1),(62,1)}
      10:{1,2,5,6}:{(5,1),(7,1),(16,1)}
      11:{1,3,4,5}:{(6,1),(17,1),(19,1),(40,1),(57,1)}
      12:{1,2,3,6}:{(6,1),(7,1),(19,1)}
      13:{2,3,4,5}:{(20,1),(21,1),(54,1)}
      14:{2,4,5,6}:{(8,1),(22,1)}
      15:{3,4,5,6}:{(8,1),(22,1),(24,1),(26,1),(44,1)}
      16:{1,4,5,6}:{(8,1),(10,1),(26,1),(28,1)}
      17:{1,4,5}:{(9,1),(25,1),(28,1)}
      18:{1,2,3,5,6}:{(9,1),(10,1),(12,1),(26,1),(28,1),(29,1),(47,1),(49,1)}
      19:{1,3,4,6}:{(11,1),(12,1),(28,1),(29,1)}
      20:{1,2,4,5}:{(13,1),(30,1),(31,1),(59,1)}
      21:{2,3,4,6}:{(13,1),(22,1),(31,1),(44,1)}
      22:{2,3,5,6}:{(14,1),(15,1),(21,1),(32,1)}
      23:{1,2,4,5,6}:{(14,1),(16,1),(32,1),(33,1),(38,1),(52,1),(62,1),(63,1)}
      24:{1,4,5,6}:{(15,1),(32,1),(35,1),(52,1)}
      25:{3,4,5}:{(17,1),(36,1),(37,1)}
      26:{3,5,6}:{(16,1),(37,1)}
      27:{1,2,4,5}:{(17,1),(36,1),(38,1),(51,1),(62,1),(63,1)}
      28:{1,4,6}:{(17,1),(18,1),(37,1)}
      29:{1,3,5,6}:{(19,1),(39,1),(57,1)}
      30:{1,2,3,5}:{(20,1),(40,1),(41,1),(57,1)}
      31:{1,2,4,6}:{(20,1),(21,1),(32,1),(41,1),(52,1)}
      32:{1,2,5,6}:{(22,1),(24,1),(31,1)}
      33:{2,3,5,6}:{(23,1),(26,1),(44,1),(47,1),(60,1)}
      34:{1,3,4,5}:{(25,1),(45,1),(46,1),(59,1)}
      35:{1,3,5,6}:{(24,1),(26,1),(46,1)}
      36:{2,3,5}:{(25,1),(27,1),(43,1),(47,1)}
      37:{3,4,6}:{(25,1),(26,1),(28,1),(47,1)}
      38:{1,2,4,6}:{(27,1),(28,1),(47,1),(49,1),(61,1)}
      39:{1,4,5,6}:{(28,1),(29,1),(48,1),(49,1),(59,1)}
      40:{1,3,4}:{(30,1)}
      41:{1,2,3,6}:{(30,1),(31,1),(50,1)}
      42:{1,2,3,5,6}:{(32,1),(33,1),(35,1),(41,1),(52,1),(55,1),(57,1),(62,1)}
      43:{2,3,4}:{(36,1),(51,1)}
      44:{3,4,6}:{(33,1),(52,1),(54,1)}
      45:{1,2,3,5}:{(34,1),(36,1),(51,1),(55,1),(62,1)}
      46:{1,3,4,6}:{(34,1),(35,1),(37,1),(52,1),(55,1)}
      47:{2,3,6}:{(36,1),(37,1),(38,1)}
      48:{3,4,5,6}:{(37,1),(39,1),(54,1),(56,1)}
      49:{1,2,5,6}:{(38,1),(39,1),(56,1),(62,1)}
      50:{1,3,4,6}:{(40,1),(41,1),(52,1),(57,1)}
      51:{1,2,4}:{(43,1),(45,1)}
      52:{1,4,6}:{(42,1),(44,1),(59,1)}
      53:{2,3,4,6}:{(43,1),(44,1),(47,1),(58,1),(60,1),(61,1)}
      54:{3,4,5}:{(44,1),(59,1),(60,1)}
      55:{1,2,3,6}:{(45,1),(46,1),(47,1),(58,1)}
      56:{2,3,5,6}:{(47,1),(48,1),(49,1),(60,1),(61,1)}
      57:{1,3,5}:{(50,1),(59,1)}
      58:{1,2,4,6}:{(51,1),(52,1),(53,1),(55,1),(62,1)}
      59:{1,4,5}:{(52,1),(54,1),(57,1),(62,1)}
      60:{2,3,5}:{(53,1),(54,1),(62,1),(63,1)}
      61:{2,4,6}:{(56,1),(63,1)}
      62:{1,2,5}:{(58,1),(59,1),(60,1)}
      63:{2,4,5}:{(60,1),(61,1)}

600 :  0:{2,3,4,5}:{(2,1),(3,1),(51,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(31,1),(41,1),(49,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(7,1),(41,1)}
       3:{2,3,4,6}:{(0,1),(7,1),(8,1),(43,1)}
       4:{2,3,4,5}:{(10,1),(11,1),(46,1)}
       5:{1,2,3,5}:{(1,1),(2,1),(12,1),(13,1)}
       6:{1,3,4,6}:{(1,1),(13,1),(14,1),(34,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(13,1),(15,1),(34,1)}
       8:{2,3,5,6}:{(3,1),(15,1),(16,1),(35,1)}
       9:{2,4,5,6}:{(16,1),(19,1)}
      10:{2,3,4,6}:{(4,1),(19,1),(21,1),(38,1)}
      11:{1,2,4,5}:{(4,1),(20,1),(21,1),(55,1)}
      12:{1,2,3,4}:{(5,1),(31,1)}
      13:{1,2,3,6}:{(5,1),(6,1),(7,1)}
      14:{1,3,5,6}:{(6,1),(23,1),(49,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(25,1)}
      16:{4,5,6}:{(8,1)}
      17:{3,4,5,6}:{(23,1),(27,1),(43,1),(46,1)}
      18:{1,2,4,5,6}:{(9,1),(25,1),(28,1),(29,1),(42,1),(45,1),(48,1),(60,1)}
      19:{2,3,5,6}:{(9,1),(10,1),(26,1),(29,1)}
      20:{1,2,3,5}:{(11,1),(30,1),(31,1),(49,1)}
      21:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1),(48,1)}
      22:{1,2,3,4,6}:{(12,1),(13,1),(32,1),(34,1),(40,1),(52,1),(56,1),(61,1)}
      23:{1,4,5,6}:{(14,1),(17,1),(33,1),(34,1),(55,1)}
      24:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(32,1),(33,1),(34,1),(35,1),(52,1)}
      25:{1,4,5,6}:{(15,1),(16,1),(34,1),(35,1)}
      26:{3,4,5,6}:{(16,1),(19,1),(35,1),(36,1),(38,1)}
      27:{2,3,5,6}:{(17,1),(33,1),(37,1),(52,1),(54,1)}
      28:{2,3,5,6}:{(18,1),(35,1),(38,1),(52,1),(54,1)}
      29:{1,2,5,6}:{(19,1),(21,1),(36,1)}
      30:{1,2,3,6}:{(20,1),(21,1),(40,1)}
      31:{1,3,4}:{(20,1)}
      32:{1,2,3,5}:{(22,1),(41,1),(49,1),(57,1),(60,1)}
      33:{1,2,5,6}:{(23,1),(27,1),(42,1),(60,1)}
      34:{1,4,6}:{(24,1),(41,1),(43,1)}
      35:{3,5,6}:{(25,1),(43,1)}
      36:{1,4,5,6}:{(26,1),(29,1),(44,1),(48,1)}
      37:{2,4,6}:{(27,1),(45,1)}
      38:{3,4,6}:{(28,1),(46,1),(48,1)}
      39:{1,2,3,5,6}:{(28,1),(29,1),(30,1),(44,1),(48,1),(49,1),(59,1),(60,1)}
      40:{1,3,4,6}:{(30,1),(31,1),(48,1),(49,1)}
      41:{1,4,5}:{(32,1),(34,1),(51,1)}
      42:{1,2,4,6}:{(33,1),(34,1),(37,1),(50,1),(52,1)}
      43:{3,4,6}:{(34,1),(35,1),(51,1),(52,1)}
      44:{1,3,5,6}:{(35,1),(36,1),(53,1)}
      45:{2,4,5}:{(37,1),(54,1)}
      46:{3,4,5}:{(38,1),(54,1),(55,1)}
      47:{2,3,4,6}:{(37,1),(38,1),(52,1),(54,1),(56,1),(61,1)}
      48:{1,4,6}:{(38,1),(39,1),(55,1)}
      49:{1,3,5}:{(40,1),(55,1)}
      50:{1,2,4,5}:{(41,1),(42,1),(45,1),(57,1),(60,1),(63,1)}
      51:{3,4,5}:{(41,1),(43,1),(57,1)}
      52:{2,3,6}:{(42,1),(43,1),(57,1)}
      53:{1,3,4,6}:{(43,1),(44,1),(48,1),(58,1),(59,1)}
      54:{2,3,5}:{(45,1),(46,1),(47,1),(60,1)}
      55:{1,4,5}:{(46,1),(48,1),(49,1),(60,1)}
      56:{1,2,4,6}:{(47,1),(48,1),(59,1),(60,1),(63,1)}
      57:{2,3,5}:{(50,1),(51,1),(52,1),(61,1)}
      58:{1,3,4,5}:{(51,1),(53,1),(55,1),(62,1)}
      59:{1,2,3,6}:{(52,1),(53,1),(56,1),(62,1)}
      60:{1,2,5}:{(54,1),(55,1),(56,1)}
      61:{2,3,4}:{(57,1),(63,1)}
      62:{1,2,3,5}:{(57,1),(58,1),(59,1),(60,1),(63,1)}
      63:{1,2,4}:{(61,1),(62,1)}

601 :  0:{1,3,4,5,6}:{(1,1),(19,1),(30,1),(32,1),(35,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(12,1)}
       2:{1,2,4,6}:{(1,1),(4,1),(5,1),(32,1)}
       3:{2,3,4,5}:{(8,1),(9,1),(19,1)}
       4:{2,3,4,6}:{(2,1),(12,1),(27,1)}
       5:{1,2,4,5}:{(2,1),(12,1),(24,1)}
       6:{2,4,5,6}:{(11,1)}
       7:{1,2,3,4}:{(14,1)}
       8:{1,2,4,5}:{(3,1),(14,1),(15,1),(24,1)}
       9:{2,3,4,6}:{(3,1),(11,1),(15,1),(27,1)}
      10:{1,2,3,4,6}:{(4,1),(7,1),(17,1),(22,1),(32,1),(41,1),(42,1)}
      11:{2,3,5,6}:{(6,1),(9,1),(16,1),(18,1)}
      12:{2,3,5}:{(4,1),(5,1),(19,1)}
      13:{1,2,4,5,6}:{(5,1),(6,1),(18,1),(20,1),(32,1),(43,1),(44,1)}
      14:{1,2,3,5}:{(7,1),(8,1),(21,1),(22,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(18,1),(22,1),(32,1)}
      16:{3,4,5,6}:{(11,1),(23,1),(27,1)}
      17:{1,2,3,5}:{(10,1),(12,1),(24,1)}
      18:{1,2,5,6}:{(11,1),(15,1),(23,1)}
      19:{3,4,5}:{(12,1),(24,1),(27,1)}
      20:{2,3,5,6}:{(12,1),(13,1),(27,1)}
      21:{1,3,4,5}:{(14,1),(24,1),(28,1)}
      22:{1,2,3,6}:{(14,1),(15,1),(28,1)}
      23:{1,4,5,6}:{(16,1),(18,1),(30,1),(32,1)}
      24:{1,4,5}:{(17,1),(19,1),(32,1)}
      25:{1,2,3,5,6}:{(17,1),(18,1),(20,1),(22,1),(30,1),(32,1),(35,1),(42,1),(43,1)}
      26:{2,3,4,5}:{(19,1),(31,1),(33,1)}
      27:{3,4,6}:{(19,1),(20,1),(32,1)}
      28:{1,3,4,6}:{(21,1),(22,1),(32,1),(35,1)}
      29:{1,3,4,5}:{(24,1),(36,1),(37,1)}
      30:{1,3,5,6}:{(23,1),(37,1)}
      31:{1,2,4,5}:{(24,1),(26,1),(36,1),(38,1)}
      32:{1,4,6}:{(24,1),(25,1),(27,1)}
      33:{2,3,4,6}:{(26,1),(27,1),(38,1),(40,1)}
      34:{3,4,5,6}:{(27,1),(39,1),(40,1)}
      35:{1,3,5,6}:{(28,1),(39,1)}
      36:{1,2,3,5}:{(29,1),(31,1),(41,1),(42,1)}
      37:{1,3,4,6}:{(29,1),(30,1),(32,1),(42,1)}
      38:{1,2,4,6}:{(31,1),(32,1),(33,1),(42,1),(43,1)}
      39:{1,4,5,6}:{(32,1),(34,1),(35,1),(43,1)}
      40:{2,3,5,6}:{(33,1),(34,1),(43,1),(44,1)}
      41:{1,2,3,4}:{(36,1)}
      42:{1,2,3,6}:{(36,1),(37,1),(38,1)}
      43:{1,2,5,6}:{(38,1),(39,1),(40,1)}
      44:{2,4,5,6}:{(40,1)}

602 :  0:{2,3,4,5}:{(2,1),(3,1),(29,1)}
       1:{2,4,5,6}:{(4,1),(37,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(39,1)}
       3:{2,3,4,6}:{(0,1),(4,1),(7,1),(19,1)}
       4:{2,3,5,6}:{(1,1),(3,1),(8,1),(10,1)}
       5:{1,2,4,5,6}:{(1,1),(10,1),(11,1),(27,1),(47,1),(48,1),(49,1),(59,1)}
       6:{1,2,3,5}:{(2,1),(12,1),(13,1),(31,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(10,1),(13,1),(27,1)}
       8:{3,4,5,6}:{(4,1),(14,1),(19,1),(37,1),(55,1)}
       9:{2,3,4,5}:{(16,1),(17,1),(57,1)}
      10:{1,2,5,6}:{(4,1),(7,1),(14,1)}
      11:{2,3,5,6}:{(5,1),(19,1),(40,1),(55,1),(63,1)}
      12:{1,3,4}:{(6,1)}
      13:{1,2,3,6}:{(6,1),(7,1),(21,1)}
      14:{1,4,5,6}:{(8,1),(10,1),(22,1),(27,1)}
      15:{1,3,4,5}:{(12,1),(23,1),(24,1),(31,1),(50,1)}
      16:{1,2,4,5}:{(9,1),(23,1),(25,1),(50,1)}
      17:{2,3,4,6}:{(9,1),(25,1),(26,1),(60,1)}
      18:{1,2,3,5,6}:{(10,1),(11,1),(13,1),(22,1),(27,1),(31,1),(42,1),(48,1)}
      19:{3,4,6}:{(11,1),(27,1),(29,1)}
      20:{1,2,3,4}:{(12,1),(23,1)}
      21:{1,3,4,6}:{(12,1),(13,1),(27,1),(31,1)}
      22:{1,3,5,6}:{(14,1),(32,1),(55,1)}
      23:{1,2,3,5}:{(15,1),(16,1),(20,1),(34,1)}
      24:{1,3,4,6}:{(15,1),(34,1),(35,1),(54,1)}
      25:{1,2,4,6}:{(16,1),(17,1),(34,1),(36,1),(54,1)}
      26:{2,3,5,6}:{(17,1),(36,1),(37,1),(55,1)}
      27:{1,4,6}:{(18,1),(19,1),(39,1)}
      28:{2,3,4,6}:{(19,1),(38,1),(40,1),(53,1),(62,1),(63,1)}
      29:{3,4,5}:{(19,1),(39,1),(40,1)}
      30:{1,2,3,4,6}:{(20,1),(21,1),(34,1),(38,1),(41,1),(54,1),(62,1),(63,1)}
      31:{1,3,5}:{(21,1),(39,1)}
      32:{1,3,4,6}:{(22,1),(27,1),(42,1),(43,1),(60,1)}
      33:{3,4,5,6}:{(29,1),(44,1),(45,1),(60,1)}
      34:{1,2,3,6}:{(23,1),(24,1),(25,1)}
      35:{1,3,5,6}:{(24,1),(31,1),(44,1)}
      36:{1,2,5,6}:{(25,1),(26,1),(47,1)}
      37:{4,5,6}:{(26,1)}
      38:{1,2,4,6}:{(27,1),(28,1),(42,1),(48,1),(58,1)}
      39:{1,4,5}:{(27,1),(29,1),(31,1),(48,1)}
      40:{2,3,5}:{(28,1),(29,1),(48,1),(49,1)}
      41:{1,2,3,5}:{(30,1),(31,1),(48,1),(50,1),(61,1)}
      42:{1,2,3,6}:{(32,1),(38,1),(51,1),(63,1)}
      43:{1,3,4,5}:{(32,1),(39,1),(51,1),(57,1)}
      44:{1,4,5,6}:{(33,1),(35,1),(39,1),(52,1),(54,1)}
      45:{2,3,5,6}:{(33,1),(40,1),(52,1),(53,1),(63,1)}
      46:{1,2,3,5,6}:{(34,1),(35,1),(36,1),(41,1),(52,1),(54,1),(55,1),(63,1)}
      47:{1,4,5,6}:{(36,1),(37,1),(54,1),(55,1)}
      48:{1,2,5}:{(38,1),(39,1),(40,1)}
      49:{2,4,5}:{(40,1),(53,1)}
      50:{1,4,5}:{(41,1),(54,1),(57,1)}
      51:{1,2,3,5}:{(42,1),(43,1),(48,1),(58,1),(61,1)}
      52:{1,2,5,6}:{(44,1),(45,1),(48,1),(59,1)}
      53:{2,4,6}:{(45,1),(49,1)}
      54:{1,4,6}:{(46,1),(50,1),(60,1)}
      55:{3,5,6}:{(47,1),(60,1)}
      56:{1,2,4,5}:{(48,1),(49,1),(50,1),(58,1),(59,1),(61,1)}
      57:{3,4,5}:{(50,1),(60,1),(61,1)}
      58:{1,2,4}:{(51,1),(62,1)}
      59:{1,2,4,6}:{(52,1),(53,1),(54,1),(56,1),(63,1)}
      60:{3,4,6}:{(54,1),(55,1),(57,1),(63,1)}
      61:{2,3,5}:{(56,1),(57,1),(62,1),(63,1)}
      62:{2,3,4}:{(58,1),(61,1)}
      63:{2,3,6}:{(59,1),(60,1),(61,1)}

603 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(18,1)}
       2:{2,3,4,6}:{(0,1),(3,1),(5,1),(16,1)}
       3:{2,3,5,6}:{(2,1),(6,1),(7,1),(13,1)}
       4:{1,2,3,5}:{(1,1),(8,1),(9,1),(15,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(14,1)}
       6:{4,5,6}:{(3,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(10,1)}
       8:{1,3,4}:{(4,1)}
       9:{1,2,3,6}:{(4,1),(5,1),(12,1)}
      10:{1,4,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(14,1),(15,1),(19,1),(21,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,5,6}:{(10,1),(16,1)}
      14:{1,4,6}:{(11,1),(16,1),(18,1)}
      15:{1,3,5}:{(12,1),(18,1)}
      16:{3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(14,1),(19,1),(21,1),(23,1)}
      18:{1,4,5}:{(14,1),(15,1),(20,1),(21,1)}
      19:{2,3,6}:{(16,1),(17,1),(22,1)}
      20:{3,4,5}:{(16,1),(18,1),(22,1)}
      21:{1,2,5}:{(17,1),(18,1),(22,1)}
      22:{2,3,5}:{(19,1),(20,1),(21,1),(23,1)}
      23:{2,4}:{(22,1)}

604 :  0:{2,3,4,5}:{(2,1),(4,1),(29,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(19,1),(51,1),(62,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(7,1),(19,1)}
       3:{1,2,3,4}:{(5,1),(51,1)}
       4:{2,3,4,6}:{(0,1),(7,1),(9,1),(37,1)}
       5:{1,2,3,5}:{(1,1),(2,1),(3,1),(10,1)}
       6:{1,3,4,6}:{(1,1),(10,1),(11,1),(26,1)}
       7:{1,2,4,6}:{(2,1),(4,1),(10,1),(12,1),(26,1)}
       8:{1,2,3,4,6}:{(3,1),(10,1),(13,1),(26,1),(46,1),(47,1),(58,1),(61,1)}
       9:{2,3,5,6}:{(4,1),(12,1),(14,1),(27,1)}
      10:{1,2,3,6}:{(5,1),(6,1),(7,1)}
      11:{1,3,5,6}:{(6,1),(16,1),(62,1)}
      12:{1,2,5,6}:{(7,1),(9,1),(18,1)}
      13:{1,2,3,5}:{(8,1),(19,1),(39,1),(62,1),(63,1)}
      14:{4,5,6}:{(9,1)}
      15:{2,4,5,6}:{(14,1),(24,1)}
      16:{1,4,5,6}:{(11,1),(22,1),(25,1),(26,1),(60,1)}
      17:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(13,1),(25,1),(26,1),(27,1),(47,1)}
      18:{1,4,5,6}:{(12,1),(14,1),(26,1),(27,1)}
      19:{1,4,5}:{(13,1),(26,1),(29,1)}
      20:{3,4,5,6}:{(14,1),(24,1),(27,1),(30,1),(44,1)}
      21:{2,3,4,5}:{(31,1),(32,1),(53,1)}
      22:{3,4,5,6}:{(16,1),(33,1),(37,1),(53,1)}
      23:{1,2,4,5,6}:{(15,1),(18,1),(34,1),(35,1),(36,1),(52,1),(55,1),(63,1)}
      24:{2,3,5,6}:{(15,1),(20,1),(31,1),(35,1)}
      25:{1,2,5,6}:{(16,1),(33,1),(36,1),(63,1)}
      26:{1,4,6}:{(17,1),(19,1),(37,1)}
      27:{3,5,6}:{(18,1),(37,1)}
      28:{1,2,4,5}:{(19,1),(36,1),(39,1),(52,1),(56,1),(63,1)}
      29:{3,4,5}:{(19,1),(37,1),(39,1)}
      30:{1,4,5,6}:{(20,1),(35,1),(38,1),(55,1)}
      31:{2,3,4,6}:{(21,1),(24,1),(42,1),(44,1)}
      32:{1,2,4,5}:{(21,1),(41,1),(42,1),(60,1)}
      33:{2,3,5,6}:{(22,1),(25,1),(43,1),(47,1),(59,1)}
      34:{2,3,5,6}:{(23,1),(27,1),(44,1),(47,1),(59,1)}
      35:{1,2,5,6}:{(24,1),(30,1),(42,1)}
      36:{1,2,4,6}:{(25,1),(26,1),(28,1),(43,1),(47,1)}
      37:{3,4,6}:{(26,1),(27,1),(29,1),(47,1)}
      38:{1,3,5,6}:{(27,1),(30,1),(48,1)}
      39:{2,3,5}:{(28,1),(29,1),(46,1),(47,1)}
      40:{1,3,4,5}:{(29,1),(48,1),(49,1),(60,1)}
      41:{1,2,3,5}:{(32,1),(50,1),(51,1),(62,1)}
      42:{1,2,4,6}:{(31,1),(32,1),(35,1),(50,1),(55,1)}
      43:{2,4,6}:{(33,1),(52,1)}
      44:{3,4,6}:{(34,1),(53,1),(55,1)}
      45:{1,2,3,5,6}:{(34,1),(35,1),(38,1),(50,1),(55,1),(57,1),(62,1),(63,1)}
      46:{2,3,4}:{(39,1),(56,1)}
      47:{2,3,6}:{(36,1),(37,1),(39,1)}
      48:{1,3,4,6}:{(37,1),(38,1),(40,1),(55,1),(57,1)}
      49:{1,2,3,5}:{(39,1),(40,1),(56,1),(57,1),(63,1)}
      50:{1,2,3,6}:{(41,1),(42,1),(58,1)}
      51:{1,3,4}:{(41,1)}
      52:{2,4,5}:{(43,1),(59,1)}
      53:{3,4,5}:{(44,1),(59,1),(60,1)}
      54:{2,3,4,6}:{(43,1),(44,1),(46,1),(47,1),(59,1),(61,1)}
      55:{1,4,6}:{(44,1),(45,1),(60,1)}
      56:{1,2,4}:{(46,1),(49,1)}
      57:{1,2,3,6}:{(47,1),(48,1),(49,1),(61,1)}
      58:{1,3,4,6}:{(50,1),(51,1),(55,1),(62,1)}
      59:{2,3,5}:{(52,1),(53,1),(54,1),(63,1)}
      60:{1,4,5}:{(53,1),(55,1),(62,1),(63,1)}
      61:{1,2,4,6}:{(54,1),(55,1),(56,1),(57,1),(63,1)}
      62:{1,3,5}:{(58,1),(60,1)}
      63:{1,2,5}:{(59,1),(60,1),(61,1)}

605 :  0:{1,2,3,4,6}:{(2,1),(10,1),(24,1),(27,1),(32,1),(45,1),(50,1),(58,1)}
       1:{1,2,4,5,6}:{(3,1),(11,1),(29,1),(34,1),(35,1),(48,1),(49,1),(57,1)}
       2:{1,2,3,5}:{(0,1),(4,1),(15,1),(52,1),(59,1)}
       3:{2,3,5,6}:{(1,1),(7,1),(23,1),(55,1),(59,1)}
       4:{1,4,5}:{(2,1),(8,1),(10,1),(50,1)}
       5:{1,2,3,5,6}:{(2,1),(10,1),(27,1),(28,1),(29,1)}
       6:{1,2,3,5,6}:{(3,1),(11,1),(32,1),(33,1),(34,1)}
       7:{3,4,6}:{(3,1),(11,1),(13,1),(48,1)}
       8:{3,4,5}:{(4,1),(15,1),(16,1),(53,1),(56,1),(59,1)}
       9:{1,2,4,5}:{(4,1),(15,1),(17,1),(36,1),(52,1),(53,1)}
      10:{1,4,6}:{(4,1),(5,1),(16,1)}
      11:{1,4,6}:{(6,1),(7,1),(22,1)}
      12:{2,3,4,6}:{(7,1),(21,1),(23,1),(42,1),(55,1),(56,1)}
      13:{3,4,5}:{(7,1),(22,1),(23,1),(53,1),(56,1),(59,1)}
      14:{1,3,4,5}:{(8,1),(25,1),(26,1),(33,1),(50,1),(57,1)}
      15:{2,3,5}:{(8,1),(9,1),(24,1),(27,1)}
      16:{3,4,6}:{(8,1),(10,1),(27,1),(28,1),(48,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(27,1),(29,1),(48,1)}
      18:{1,4,5,6}:{(10,1),(28,1),(29,1),(48,1),(57,1)}
      19:{3,4,5,6}:{(13,1),(28,1),(30,1),(31,1),(48,1),(58,1)}
      20:{1,3,4,6}:{(11,1),(32,1),(33,1),(50,1),(58,1)}
      21:{1,2,4,6}:{(11,1),(12,1),(32,1),(34,1),(50,1)}
      22:{1,4,5}:{(11,1),(13,1),(33,1),(34,1),(50,1)}
      23:{2,3,5}:{(12,1),(13,1),(34,1),(35,1)}
      24:{2,3,4}:{(15,1),(36,1),(56,1)}
      25:{1,2,3,5}:{(14,1),(15,1),(36,1),(38,1),(52,1)}
      26:{1,3,4,6}:{(14,1),(16,1),(38,1),(39,1),(54,1)}
      27:{2,3,6}:{(15,1),(16,1),(17,1)}
      28:{3,5,6}:{(16,1),(18,1),(59,1)}
      29:{1,2,5,6}:{(17,1),(18,1),(40,1),(52,1)}
      30:{1,4,5,6}:{(19,1),(22,1),(39,1),(41,1),(54,1)}
      31:{2,3,5,6}:{(19,1),(23,1),(41,1),(42,1),(55,1)}
      32:{1,2,3,6}:{(20,1),(21,1),(43,1),(55,1)}
      33:{1,3,5}:{(20,1),(22,1),(59,1)}
      34:{1,2,5}:{(21,1),(22,1),(23,1)}
      35:{2,4,5}:{(23,1),(42,1),(53,1)}
      36:{1,2,4}:{(24,1),(25,1),(50,1)}
      37:{2,3,4,6}:{(24,1),(27,1),(45,1),(46,1),(48,1),(58,1)}
      38:{1,2,3,6}:{(25,1),(26,1),(27,1),(45,1)}
      39:{1,3,5,6}:{(26,1),(28,1),(30,1),(33,1)}
      40:{2,3,5,6}:{(27,1),(28,1),(29,1),(46,1),(48,1)}
      41:{1,2,5,6}:{(30,1),(31,1),(34,1),(49,1)}
      42:{2,4,6}:{(31,1),(35,1),(48,1)}
      43:{1,2,3,5}:{(32,1),(33,1),(34,1),(50,1),(51,1)}
      44:{1,2,4,5}:{(34,1),(35,1),(49,1),(50,1),(51,1),(57,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(38,1),(52,1),(54,1)}
      46:{2,3,5}:{(37,1),(52,1),(53,1),(59,1)}
      47:{1,2,3,5,6}:{(38,1),(39,1),(40,1),(41,1),(43,1),(52,1),(54,1),(55,1),(59,1)}
      48:{4,6}:{(40,1),(53,1)}
      49:{1,2,4,6}:{(41,1),(42,1),(44,1),(54,1),(55,1)}
      50:{1,4}:{(43,1),(56,1)}
      51:{2,3,5}:{(44,1),(55,1),(56,1),(59,1)}
      52:{1,2,5}:{(45,1),(46,1),(57,1)}
      53:{4,5}:{(46,1),(48,1)}
      54:{1,4,6}:{(47,1),(48,1),(50,1),(57,1),(58,1)}
      55:{2,3,6}:{(49,1),(51,1),(58,1)}
      56:{3,4}:{(50,1),(51,1)}
      57:{1,4,5}:{(52,1),(53,1),(54,1),(59,1)}
      58:{3,4,6}:{(54,1),(55,1),(56,1),(59,1)}
      59:{3,5}:{(57,1),(58,1)}

606 :  0:{1,3,4,5}:{(2,1),(3,1),(14,1),(60,1),(63,1)}
       1:{1,2,3,4}:{(2,1),(60,1)}
       2:{1,2,3,5}:{(0,1),(1,1),(6,1),(7,1)}
       3:{1,3,4,6}:{(0,1),(7,1),(8,1),(19,1)}
       4:{1,2,3,4,6}:{(1,1),(7,1),(9,1),(19,1),(32,1),(35,1),(51,1),(62,1)}
       5:{2,3,4,5}:{(6,1),(10,1),(21,1)}
       6:{1,2,4,5}:{(2,1),(5,1),(11,1),(14,1)}
       7:{1,2,3,6}:{(2,1),(3,1),(11,1)}
       8:{1,3,5,6}:{(3,1),(12,1),(63,1)}
       9:{1,2,3,5}:{(4,1),(14,1),(27,1),(57,1),(63,1)}
      10:{2,3,4,6}:{(5,1),(11,1),(15,1),(26,1)}
      11:{1,2,4,6}:{(6,1),(7,1),(10,1),(17,1),(19,1)}
      12:{1,4,5,6}:{(8,1),(16,1),(18,1),(19,1),(61,1)}
      13:{1,2,3,5,6}:{(7,1),(8,1),(9,1),(17,1),(18,1),(19,1),(34,1),(35,1)}
      14:{1,4,5}:{(9,1),(19,1),(21,1)}
      15:{2,3,5,6}:{(10,1),(17,1),(22,1),(34,1)}
      16:{3,4,5,6}:{(12,1),(23,1),(26,1),(56,1)}
      17:{1,2,5,6}:{(11,1),(15,1),(24,1)}
      18:{1,2,5,6}:{(12,1),(23,1),(25,1),(57,1)}
      19:{1,4,6}:{(13,1),(14,1),(26,1)}
      20:{1,2,4,5}:{(14,1),(25,1),(27,1),(41,1),(43,1),(57,1)}
      21:{3,4,5}:{(14,1),(26,1),(27,1)}
      22:{4,5,6}:{(15,1)}
      23:{2,3,5,6}:{(16,1),(18,1),(31,1),(35,1),(50,1)}
      24:{1,4,5,6}:{(17,1),(19,1),(22,1),(34,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(20,1),(31,1),(35,1)}
      26:{3,4,6}:{(19,1),(21,1),(34,1),(35,1)}
      27:{2,3,5}:{(20,1),(21,1),(32,1),(35,1)}
      28:{1,3,4,5}:{(21,1),(36,1),(37,1),(61,1)}
      29:{2,4,5,6}:{(22,1),(38,1)}
      30:{3,4,5,6}:{(22,1),(34,1),(38,1),(39,1),(52,1)}
      31:{2,4,6}:{(23,1),(41,1)}
      32:{2,3,4}:{(27,1),(43,1)}
      33:{1,2,4,5,6}:{(24,1),(25,1),(29,1),(41,1),(44,1),(48,1),(57,1),(58,1)}
      34:{3,5,6}:{(24,1),(26,1)}
      35:{2,3,6}:{(25,1),(26,1),(27,1)}
      36:{1,3,4,6}:{(26,1),(28,1),(45,1),(46,1),(58,1)}
      37:{1,2,3,5}:{(27,1),(28,1),(43,1),(46,1),(57,1)}
      38:{2,3,5,6}:{(29,1),(30,1),(47,1),(48,1)}
      39:{1,4,5,6}:{(30,1),(45,1),(48,1),(58,1)}
      40:{2,3,4,5}:{(47,1),(49,1),(56,1)}
      41:{2,4,5}:{(31,1),(50,1)}
      42:{2,3,4,6}:{(31,1),(32,1),(35,1),(50,1),(51,1),(52,1)}
      43:{1,2,4}:{(32,1),(37,1)}
      44:{2,3,5,6}:{(33,1),(34,1),(35,1),(50,1),(52,1)}
      45:{1,3,5,6}:{(34,1),(36,1),(39,1)}
      46:{1,2,3,6}:{(35,1),(36,1),(37,1),(51,1)}
      47:{2,3,4,6}:{(38,1),(40,1),(52,1),(54,1)}
      48:{1,2,5,6}:{(38,1),(39,1),(54,1)}
      49:{1,2,4,5}:{(40,1),(54,1),(55,1),(61,1)}
      50:{2,3,5}:{(41,1),(42,1),(56,1),(57,1)}
      51:{1,2,4,6}:{(42,1),(43,1),(46,1),(57,1),(58,1)}
      52:{3,4,6}:{(44,1),(56,1),(58,1)}
      53:{1,2,3,5,6}:{(44,1),(45,1),(46,1),(48,1),(57,1),(58,1),(59,1),(63,1)}
      54:{1,2,4,6}:{(47,1),(48,1),(49,1),(58,1),(59,1)}
      55:{1,2,3,5}:{(49,1),(59,1),(60,1),(63,1)}
      56:{3,4,5}:{(50,1),(52,1),(61,1)}
      57:{1,2,5}:{(50,1),(51,1),(61,1)}
      58:{1,4,6}:{(52,1),(53,1),(61,1)}
      59:{1,2,3,6}:{(54,1),(55,1),(62,1)}
      60:{1,3,4}:{(55,1)}
      61:{1,4,5}:{(56,1),(57,1),(58,1),(63,1)}
      62:{1,3,4,6}:{(58,1),(59,1),(60,1),(63,1)}
      63:{1,3,5}:{(61,1),(62,1)}

607 :  0:{1,3,4,5,6}:{(1,1),(9,1),(21,1),(34,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(21,1)}
       3:{1,2,4,5}:{(2,1),(6,1),(15,1)}
       4:{2,3,4,6}:{(2,1),(6,1),(12,1)}
       5:{1,2,4,5,6}:{(3,1),(8,1),(18,1),(21,1),(36,1)}
       6:{2,3,5}:{(3,1),(4,1),(9,1)}
       7:{1,2,3,4,6}:{(4,1),(10,1),(21,1),(32,1),(35,1)}
       8:{2,3,5,6}:{(5,1),(6,1),(12,1)}
       9:{3,4,5}:{(6,1),(12,1),(15,1)}
      10:{1,2,3,5}:{(6,1),(7,1),(15,1)}
      11:{1,3,4,5,6}:{(16,1),(34,1),(41,1),(43,1)}
      12:{3,4,6}:{(8,1),(9,1),(21,1)}
      13:{1,2,3,5,6}:{(8,1),(10,1),(21,1),(34,1),(35,1),(36,1)}
      14:{2,3,4,5}:{(9,1),(20,1),(22,1),(41,1)}
      15:{1,4,5}:{(9,1),(10,1),(21,1)}
      16:{1,2,3,5,6}:{(11,1),(23,1),(37,1)}
      17:{1,3,4,5}:{(15,1),(25,1),(26,1),(44,1)}
      18:{2,4,5,6}:{(27,1)}
      19:{3,4,5,6}:{(12,1),(27,1),(28,1),(39,1)}
      20:{2,3,4,6}:{(12,1),(14,1),(27,1),(29,1),(39,1)}
      21:{1,4,6}:{(12,1),(13,1),(15,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(26,1),(29,1),(44,1)}
      23:{1,2,4,6}:{(16,1),(30,1),(31,1),(43,1)}
      24:{1,2,4,5,6}:{(18,1),(30,1),(33,1),(36,1),(43,1)}
      25:{1,3,4,6}:{(17,1),(21,1),(34,1),(35,1),(43,1)}
      26:{1,2,3,5}:{(17,1),(22,1),(32,1),(35,1)}
      27:{2,3,5,6}:{(18,1),(19,1),(20,1),(36,1)}
      28:{1,4,5,6}:{(19,1),(21,1),(34,1),(36,1),(43,1)}
      29:{1,2,4,6}:{(20,1),(21,1),(22,1),(35,1),(36,1),(43,1)}
      30:{1,2,4,5}:{(23,1),(37,1),(44,1)}
      31:{2,3,4,6}:{(23,1),(37,1),(39,1)}
      32:{1,2,3,4}:{(26,1)}
      33:{2,3,5,6}:{(24,1),(37,1),(39,1)}
      34:{1,3,5,6}:{(25,1),(28,1)}
      35:{1,2,3,6}:{(25,1),(26,1),(29,1)}
      36:{1,2,5,6}:{(27,1),(28,1),(29,1)}
      37:{2,3,5}:{(30,1),(31,1),(41,1)}
      38:{1,2,3,4,6}:{(31,1),(32,1),(35,1),(42,1),(43,1)}
      39:{3,4,6}:{(33,1),(41,1),(43,1)}
      40:{1,2,3,5,6}:{(33,1),(34,1),(35,1),(36,1),(42,1),(43,1)}
      41:{3,4,5}:{(37,1),(39,1),(44,1)}
      42:{1,2,3,5}:{(37,1),(38,1),(44,1)}
      43:{1,4,6}:{(39,1),(40,1),(44,1)}
      44:{1,4,5}:{(41,1),(42,1),(43,1)}

608 :  0:{2,3,4,5,6}:{(1,1),(11,1)}
       1:{1,2,4,5,6}:{(0,1),(2,1),(9,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(7,1)}
       3:{1,3,4,6}:{(2,1),(5,1)}
       4:{1,2,3,4,6}:{(3,1),(7,1),(10,1)}
       5:{1,3,4,5}:{(3,1),(7,1)}
       6:{1,3,4,5,6}:{(5,1),(8,1),(17,1)}
       7:{1,2,3,5}:{(4,1),(5,1),(9,1)}
       8:{1,2,3,5,6}:{(6,1),(7,1),(10,1),(15,1)}
       9:{1,2,4,5}:{(7,1),(10,1),(11,1)}
      10:{1,2,4,6}:{(8,1),(9,1),(13,1)}
      11:{2,3,4,5}:{(9,1),(13,1)}
      12:{1,2,4,5,6}:{(10,1),(15,1),(19,1)}
      13:{2,3,4,6}:{(10,1),(11,1),(15,1)}
      14:{1,2,3,4,5}:{(11,1),(16,1)}
      15:{2,3,5,6}:{(12,1),(13,1),(17,1)}
      16:{1,2,3,4,6}:{(13,1),(14,1),(18,1)}
      17:{3,4,5,6}:{(15,1),(19,1)}
      18:{1,2,3,5,6}:{(15,1),(16,1),(19,1)}
      19:{1,4,5,6}:{(17,1),(18,1)}

609 :  0:{1,2,3,4,5}:{(1,1),(10,1)}
       1:{1,2,3,4,6}:{(0,1),(2,1),(8,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(6,1)}
       3:{1,4,5,6}:{(2,1),(5,1)}
       4:{1,2,4,5,6}:{(3,1),(6,1),(11,1)}
       5:{3,4,5,6}:{(3,1),(6,1)}
       6:{2,3,5,6}:{(4,1),(5,1),(8,1)}
       7:{1,3,4,5,6}:{(5,1),(9,1),(18,1)}
       8:{2,3,4,6}:{(6,1),(10,1),(11,1)}
       9:{1,2,3,5,6}:{(6,1),(7,1),(11,1),(16,1)}
      10:{2,3,4,5}:{(8,1),(13,1)}
      11:{1,2,4,6}:{(8,1),(9,1),(13,1)}
      12:{2,3,4,5,6}:{(10,1),(15,1)}
      13:{1,2,4,5}:{(10,1),(11,1),(16,1)}
      14:{1,2,3,4,6}:{(11,1),(16,1),(19,1)}
      15:{1,2,4,5,6}:{(12,1),(13,1),(17,1)}
      16:{1,2,3,5}:{(13,1),(14,1),(18,1)}
      17:{1,2,3,5,6}:{(15,1),(16,1),(19,1)}
      18:{1,3,4,5}:{(16,1),(19,1)}
      19:{1,3,4,6}:{(17,1),(18,1)}

610 :  0:{1,3,4,5,6}:{(1,1),(19,1),(30,1),(32,1),(35,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(12,1)}
       2:{1,2,4,6}:{(1,1),(4,1),(5,1),(32,1)}
       3:{2,3,4,5}:{(8,1),(9,1),(19,1)}
       4:{2,3,4,6}:{(2,1),(12,1),(27,1)}
       5:{1,2,4,5}:{(2,1),(12,1),(24,1)}
       6:{2,4,5,6}:{(11,1)}
       7:{1,2,3,4}:{(14,1)}
       8:{1,2,4,5}:{(3,1),(14,1),(15,1),(24,1)}
       9:{2,3,4,6}:{(3,1),(11,1),(15,1),(27,1)}
      10:{1,2,3,4,6}:{(4,1),(7,1),(17,1),(22,1),(32,1),(36,1),(42,1)}
      11:{2,3,5,6}:{(6,1),(9,1),(16,1),(18,1)}
      12:{2,3,5}:{(4,1),(5,1),(19,1)}
      13:{1,2,4,5,6}:{(5,1),(6,1),(18,1),(20,1),(32,1),(43,1),(44,1)}
      14:{1,2,3,5}:{(7,1),(8,1),(21,1),(22,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(18,1),(22,1),(32,1)}
      16:{3,4,5,6}:{(11,1),(23,1),(27,1)}
      17:{1,2,3,5}:{(10,1),(12,1),(24,1)}
      18:{1,2,5,6}:{(11,1),(15,1),(23,1)}
      19:{3,4,5}:{(12,1),(24,1),(27,1)}
      20:{2,3,5,6}:{(12,1),(13,1),(27,1)}
      21:{1,3,4,5}:{(14,1),(24,1),(28,1)}
      22:{1,2,3,6}:{(14,1),(15,1),(28,1)}
      23:{1,4,5,6}:{(16,1),(18,1),(30,1),(32,1)}
      24:{1,4,5}:{(17,1),(19,1),(32,1)}
      25:{1,2,3,5,6}:{(17,1),(18,1),(20,1),(22,1),(30,1),(32,1),(35,1),(42,1),(43,1)}
      26:{2,3,4,5}:{(19,1),(31,1),(33,1)}
      27:{3,4,6}:{(19,1),(20,1),(32,1)}
      28:{1,3,4,6}:{(21,1),(22,1),(32,1),(35,1)}
      29:{1,3,4,5}:{(24,1),(37,1),(38,1)}
      30:{1,3,5,6}:{(23,1),(38,1)}
      31:{1,2,4,5}:{(24,1),(26,1),(37,1),(39,1)}
      32:{1,4,6}:{(24,1),(25,1),(27,1)}
      33:{2,3,4,6}:{(26,1),(27,1),(39,1),(41,1)}
      34:{3,4,5,6}:{(27,1),(40,1),(41,1)}
      35:{1,3,5,6}:{(28,1),(40,1)}
      36:{1,2,3,4}:{(37,1)}
      37:{1,2,3,5}:{(29,1),(31,1),(36,1),(42,1)}
      38:{1,3,4,6}:{(29,1),(30,1),(32,1),(42,1)}
      39:{1,2,4,6}:{(31,1),(32,1),(33,1),(42,1),(43,1)}
      40:{1,4,5,6}:{(32,1),(34,1),(35,1),(43,1)}
      41:{2,3,5,6}:{(33,1),(34,1),(43,1),(44,1)}
      42:{1,2,3,6}:{(37,1),(38,1),(39,1)}
      43:{1,2,5,6}:{(39,1),(40,1),(41,1)}
      44:{2,4,5,6}:{(41,1)}

611 :  0:{2,3,4,5}:{(2,1),(3,1),(30,1)}
       1:{2,4,5,6}:{(5,1),(39,1)}
       2:{1,2,4,5}:{(0,1),(7,1),(8,1),(41,1)}
       3:{2,3,4,6}:{(0,1),(5,1),(8,1),(20,1)}
       4:{3,4,5,6}:{(5,1),(9,1),(20,1),(39,1),(56,1)}
       5:{2,3,5,6}:{(1,1),(3,1),(4,1),(11,1)}
       6:{1,2,4,5,6}:{(1,1),(11,1),(12,1),(28,1),(48,1),(49,1),(50,1),(60,1)}
       7:{1,2,3,5}:{(2,1),(13,1),(14,1),(32,1)}
       8:{1,2,4,6}:{(2,1),(3,1),(11,1),(14,1),(28,1)}
       9:{1,4,5,6}:{(4,1),(11,1),(15,1),(28,1)}
      10:{2,3,4,5}:{(17,1),(18,1),(58,1)}
      11:{1,2,5,6}:{(5,1),(8,1),(9,1)}
      12:{2,3,5,6}:{(6,1),(20,1),(42,1),(56,1),(63,1)}
      13:{1,3,4}:{(7,1)}
      14:{1,2,3,6}:{(7,1),(8,1),(22,1)}
      15:{1,3,5,6}:{(9,1),(23,1),(56,1)}
      16:{1,3,4,5}:{(13,1),(24,1),(25,1),(32,1),(51,1)}
      17:{1,2,4,5}:{(10,1),(24,1),(26,1),(51,1)}
      18:{2,3,4,6}:{(10,1),(26,1),(27,1),(61,1)}
      19:{1,2,3,5,6}:{(11,1),(12,1),(14,1),(15,1),(28,1),(32,1),(33,1),(49,1)}
      20:{3,4,6}:{(12,1),(28,1),(30,1)}
      21:{1,2,3,4}:{(13,1),(24,1)}
      22:{1,3,4,6}:{(13,1),(14,1),(28,1),(32,1)}
      23:{1,3,4,6}:{(15,1),(28,1),(33,1),(34,1),(61,1)}
      24:{1,2,3,5}:{(16,1),(17,1),(21,1),(36,1)}
      25:{1,3,4,6}:{(16,1),(36,1),(37,1),(55,1)}
      26:{1,2,4,6}:{(17,1),(18,1),(36,1),(38,1),(55,1)}
      27:{2,3,5,6}:{(18,1),(38,1),(39,1),(56,1)}
      28:{1,4,6}:{(19,1),(20,1),(41,1)}
      29:{2,3,4,6}:{(20,1),(40,1),(42,1),(54,1),(59,1),(63,1)}
      30:{3,4,5}:{(20,1),(41,1),(42,1)}
      31:{1,2,3,4,6}:{(21,1),(22,1),(36,1),(40,1),(43,1),(55,1),(59,1),(63,1)}
      32:{1,3,5}:{(22,1),(41,1)}
      33:{1,2,3,6}:{(23,1),(40,1),(44,1),(63,1)}
      34:{1,3,4,5}:{(23,1),(41,1),(44,1),(58,1)}
      35:{3,4,5,6}:{(30,1),(45,1),(46,1),(61,1)}
      36:{1,2,3,6}:{(24,1),(25,1),(26,1)}
      37:{1,3,5,6}:{(25,1),(32,1),(45,1)}
      38:{1,2,5,6}:{(26,1),(27,1),(48,1)}
      39:{4,5,6}:{(27,1)}
      40:{1,2,4,6}:{(28,1),(29,1),(33,1),(49,1),(52,1)}
      41:{1,4,5}:{(28,1),(30,1),(32,1),(49,1)}
      42:{2,3,5}:{(29,1),(30,1),(49,1),(50,1)}
      43:{1,2,3,5}:{(31,1),(32,1),(49,1),(51,1),(62,1)}
      44:{1,2,3,5}:{(33,1),(34,1),(49,1),(52,1),(62,1)}
      45:{1,4,5,6}:{(35,1),(37,1),(41,1),(53,1),(55,1)}
      46:{2,3,5,6}:{(35,1),(42,1),(53,1),(54,1),(63,1)}
      47:{1,2,3,5,6}:{(36,1),(37,1),(38,1),(43,1),(53,1),(55,1),(56,1),(63,1)}
      48:{1,4,5,6}:{(38,1),(39,1),(55,1),(56,1)}
      49:{1,2,5}:{(40,1),(41,1),(42,1)}
      50:{2,4,5}:{(42,1),(54,1)}
      51:{1,4,5}:{(43,1),(55,1),(58,1)}
      52:{1,2,4}:{(44,1),(59,1)}
      53:{1,2,5,6}:{(45,1),(46,1),(49,1),(60,1)}
      54:{2,4,6}:{(46,1),(50,1)}
      55:{1,4,6}:{(47,1),(51,1),(61,1)}
      56:{3,5,6}:{(48,1),(61,1)}
      57:{1,2,4,5}:{(49,1),(50,1),(51,1),(52,1),(60,1),(62,1)}
      58:{3,4,5}:{(51,1),(61,1),(62,1)}
      59:{2,3,4}:{(52,1),(62,1)}
      60:{1,2,4,6}:{(53,1),(54,1),(55,1),(57,1),(63,1)}
      61:{3,4,6}:{(55,1),(56,1),(58,1),(63,1)}
      62:{2,3,5}:{(57,1),(58,1),(59,1),(63,1)}
      63:{2,3,6}:{(60,1),(61,1),(62,1)}

612 :  0:{2,3,4,5}:{(2,1),(3,1),(55,1)}
       1:{2,3,4,5}:{(6,1),(7,1),(41,1)}
       2:{1,2,4,5}:{(0,1),(9,1),(10,1),(49,1)}
       3:{2,3,4,6}:{(0,1),(8,1),(10,1),(47,1)}
       4:{3,4,5,6}:{(8,1),(11,1),(22,1),(42,1),(47,1)}
       5:{1,2,3,4}:{(14,1),(18,1)}
       6:{1,2,4,5}:{(1,1),(14,1),(15,1),(33,1)}
       7:{2,3,4,6}:{(1,1),(13,1),(15,1),(51,1)}
       8:{2,3,5,6}:{(3,1),(4,1),(16,1),(17,1)}
       9:{1,2,3,5}:{(2,1),(18,1),(19,1),(39,1)}
      10:{1,2,4,6}:{(2,1),(3,1),(17,1),(19,1),(38,1)}
      11:{1,4,5,6}:{(4,1),(17,1),(21,1),(38,1)}
      12:{1,2,3,4,6}:{(5,1),(23,1),(26,1),(29,1),(44,1),(46,1),(48,1),(57,1)}
      13:{2,3,5,6}:{(7,1),(22,1),(24,1),(42,1)}
      14:{1,2,3,5}:{(5,1),(6,1),(25,1),(26,1)}
      15:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1),(44,1)}
      16:{2,4,5,6}:{(8,1),(22,1)}
      17:{1,2,5,6}:{(8,1),(10,1),(11,1)}
      18:{1,3,4}:{(9,1)}
      19:{1,2,3,6}:{(9,1),(10,1),(29,1)}
      20:{1,3,4,5}:{(30,1),(31,1),(41,1),(49,1)}
      21:{1,3,5,6}:{(11,1),(31,1),(42,1)}
      22:{4,5,6}:{(13,1)}
      23:{1,2,3,5}:{(12,1),(33,1),(39,1),(50,1),(56,1)}
      24:{1,2,5,6}:{(13,1),(15,1),(32,1)}
      25:{1,3,4,5}:{(14,1),(18,1),(33,1),(35,1),(39,1)}
      26:{1,2,3,6}:{(14,1),(15,1),(35,1)}
      27:{1,2,4,5,6}:{(16,1),(17,1),(32,1),(36,1),(38,1),(52,1),(56,1),(62,1)}
      28:{1,2,3,5,6}:{(17,1),(19,1),(21,1),(36,1),(38,1),(39,1),(40,1),(56,1)}
      29:{1,3,4,6}:{(18,1),(19,1),(38,1),(39,1)}
      30:{1,2,3,5}:{(20,1),(37,1),(40,1),(50,1),(56,1)}
      31:{1,3,4,6}:{(20,1),(21,1),(38,1),(40,1),(51,1)}
      32:{1,4,5,6}:{(22,1),(24,1),(42,1),(44,1)}
      33:{1,4,5}:{(23,1),(41,1),(44,1)}
      34:{1,2,3,5,6}:{(23,1),(24,1),(26,1),(42,1),(44,1),(45,1),(57,1),(59,1)}
      35:{1,3,4,6}:{(25,1),(26,1),(44,1),(45,1)}
      36:{2,3,5,6}:{(27,1),(42,1),(47,1),(57,1),(60,1)}
      37:{1,2,4}:{(30,1),(46,1)}
      38:{1,4,6}:{(28,1),(47,1),(49,1)}
      39:{1,3,5}:{(29,1),(49,1)}
      40:{1,2,3,6}:{(30,1),(31,1),(48,1),(57,1)}
      41:{3,4,5}:{(33,1),(50,1),(51,1)}
      42:{3,5,6}:{(32,1),(51,1)}
      43:{1,2,4,5}:{(33,1),(37,1),(50,1),(52,1),(56,1),(62,1)}
      44:{1,4,6}:{(33,1),(34,1),(51,1)}
      45:{1,3,5,6}:{(35,1),(39,1),(53,1)}
      46:{2,3,4}:{(37,1),(50,1)}
      47:{3,4,6}:{(36,1),(38,1),(55,1)}
      48:{1,2,4,6}:{(37,1),(38,1),(40,1),(54,1),(56,1)}
      49:{1,4,5}:{(38,1),(39,1),(55,1),(56,1)}
      50:{2,3,5}:{(41,1),(43,1),(46,1),(57,1)}
      51:{3,4,6}:{(41,1),(42,1),(44,1),(57,1)}
      52:{1,2,4,6}:{(43,1),(44,1),(57,1),(59,1),(63,1)}
      53:{1,4,5,6}:{(44,1),(45,1),(49,1),(58,1),(59,1)}
      54:{2,3,4,6}:{(46,1),(47,1),(48,1),(57,1),(60,1),(63,1)}
      55:{3,4,5}:{(47,1),(49,1),(60,1)}
      56:{1,2,5}:{(48,1),(49,1),(60,1)}
      57:{2,3,6}:{(50,1),(51,1),(52,1)}
      58:{3,4,5,6}:{(51,1),(53,1),(55,1),(61,1)}
      59:{1,2,5,6}:{(52,1),(53,1),(56,1),(61,1)}
      60:{2,3,5}:{(54,1),(55,1),(56,1),(62,1)}
      61:{2,3,5,6}:{(57,1),(58,1),(59,1),(60,1),(63,1)}
      62:{2,4,5}:{(60,1),(63,1)}
      63:{2,4,6}:{(61,1),(62,1)}

613 :  0:{1,3,4,5,6}:{(1,1),(18,1),(21,1),(34,1),(42,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(10,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(34,1)}
       3:{2,3,4,6}:{(2,1),(10,1),(28,1)}
       4:{1,2,4,5}:{(2,1),(10,1),(25,1)}
       5:{2,4,5,6}:{(9,1)}
       6:{3,4,5,6}:{(9,1),(12,1),(28,1)}
       7:{2,3,4,5}:{(14,1),(15,1),(18,1)}
       8:{1,2,3,4,6}:{(3,1),(13,1),(16,1),(22,1),(32,1),(34,1),(37,1)}
       9:{2,3,5,6}:{(5,1),(6,1),(15,1),(17,1)}
      10:{2,3,5}:{(3,1),(4,1),(18,1)}
      11:{1,2,4,5,6}:{(4,1),(5,1),(17,1),(19,1),(34,1),(43,1),(44,1)}
      12:{1,4,5,6}:{(6,1),(17,1),(21,1),(34,1)}
      13:{1,2,3,4}:{(23,1)}
      14:{1,2,4,5}:{(7,1),(23,1),(24,1),(25,1)}
      15:{2,3,4,6}:{(7,1),(9,1),(24,1),(28,1)}
      16:{1,2,3,5}:{(8,1),(10,1),(25,1)}
      17:{1,2,5,6}:{(9,1),(12,1),(24,1)}
      18:{3,4,5}:{(10,1),(25,1),(28,1)}
      19:{2,3,5,6}:{(10,1),(11,1),(28,1)}
      20:{1,3,4,5}:{(25,1),(29,1),(30,1)}
      21:{1,3,5,6}:{(12,1),(30,1)}
      22:{1,2,3,4}:{(29,1)}
      23:{1,2,3,5}:{(13,1),(14,1),(31,1),(32,1)}
      24:{1,2,4,6}:{(14,1),(15,1),(17,1),(32,1),(34,1)}
      25:{1,4,5}:{(16,1),(18,1),(34,1)}
      26:{1,2,3,5,6}:{(16,1),(17,1),(19,1),(21,1),(32,1),(34,1),(37,1),(42,1),(43,1)}
      27:{2,3,4,5}:{(18,1),(33,1),(35,1)}
      28:{3,4,6}:{(18,1),(19,1),(34,1)}
      29:{1,2,3,5}:{(20,1),(22,1),(33,1),(37,1)}
      30:{1,3,4,6}:{(20,1),(21,1),(34,1),(37,1)}
      31:{1,3,4,5}:{(23,1),(25,1),(38,1)}
      32:{1,2,3,6}:{(23,1),(24,1),(38,1)}
      33:{1,2,4,5}:{(25,1),(27,1),(29,1),(39,1)}
      34:{1,4,6}:{(25,1),(26,1),(28,1)}
      35:{2,3,4,6}:{(27,1),(28,1),(39,1),(41,1)}
      36:{3,4,5,6}:{(28,1),(40,1),(41,1)}
      37:{1,2,3,6}:{(29,1),(30,1),(39,1)}
      38:{1,3,4,6}:{(31,1),(32,1),(34,1),(42,1)}
      39:{1,2,4,6}:{(33,1),(34,1),(35,1),(37,1),(43,1)}
      40:{1,4,5,6}:{(34,1),(36,1),(42,1),(43,1)}
      41:{2,3,5,6}:{(35,1),(36,1),(43,1),(44,1)}
      42:{1,3,5,6}:{(38,1),(40,1)}
      43:{1,2,5,6}:{(39,1),(40,1),(41,1)}
      44:{2,4,5,6}:{(41,1)}

614 :  0:{1,3,4,5,6}:{(1,1),(10,1),(22,1),(36,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(6,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(22,1)}
       3:{1,2,4,5}:{(2,1),(6,1),(16,1)}
       4:{2,3,4,6}:{(2,1),(6,1),(13,1)}
       5:{1,2,4,5,6}:{(3,1),(9,1),(19,1),(22,1),(38,1)}
       6:{2,3,5}:{(3,1),(4,1),(10,1)}
       7:{1,2,3,4,6}:{(4,1),(11,1),(22,1),(26,1),(37,1)}
       8:{1,3,4,5,6}:{(12,1),(36,1),(39,1),(44,1)}
       9:{2,3,5,6}:{(5,1),(6,1),(13,1)}
      10:{3,4,5}:{(6,1),(13,1),(16,1)}
      11:{1,2,3,5}:{(6,1),(7,1),(16,1)}
      12:{1,2,3,5,6}:{(8,1),(17,1),(33,1)}
      13:{3,4,6}:{(9,1),(10,1),(22,1)}
      14:{1,2,3,5,6}:{(9,1),(11,1),(22,1),(36,1),(37,1),(38,1)}
      15:{2,3,4,5}:{(10,1),(21,1),(23,1),(39,1)}
      16:{1,4,5}:{(10,1),(11,1),(22,1)}
      17:{1,2,4,6}:{(12,1),(24,1),(25,1),(44,1)}
      18:{1,3,4,5}:{(16,1),(28,1),(29,1),(43,1)}
      19:{2,4,5,6}:{(30,1)}
      20:{3,4,5,6}:{(13,1),(30,1),(31,1),(41,1)}
      21:{2,3,4,6}:{(13,1),(15,1),(30,1),(32,1),(41,1)}
      22:{1,4,6}:{(13,1),(14,1),(16,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(29,1),(32,1),(43,1)}
      24:{1,2,4,5}:{(17,1),(33,1),(43,1)}
      25:{2,3,4,6}:{(17,1),(33,1),(41,1)}
      26:{1,2,3,4}:{(29,1)}
      27:{1,2,4,5,6}:{(19,1),(24,1),(35,1),(38,1),(44,1)}
      28:{1,3,4,6}:{(18,1),(22,1),(36,1),(37,1),(44,1)}
      29:{1,2,3,5}:{(18,1),(23,1),(26,1),(37,1)}
      30:{2,3,5,6}:{(19,1),(20,1),(21,1),(38,1)}
      31:{1,4,5,6}:{(20,1),(22,1),(36,1),(38,1),(44,1)}
      32:{1,2,4,6}:{(21,1),(22,1),(23,1),(37,1),(38,1),(44,1)}
      33:{2,3,5}:{(24,1),(25,1),(39,1)}
      34:{1,2,3,4,6}:{(25,1),(26,1),(37,1),(40,1),(44,1)}
      35:{2,3,5,6}:{(27,1),(33,1),(41,1)}
      36:{1,3,5,6}:{(28,1),(31,1)}
      37:{1,2,3,6}:{(28,1),(29,1),(32,1)}
      38:{1,2,5,6}:{(30,1),(31,1),(32,1)}
      39:{3,4,5}:{(33,1),(41,1),(43,1)}
      40:{1,2,3,5}:{(33,1),(34,1),(43,1)}
      41:{3,4,6}:{(35,1),(39,1),(44,1)}
      42:{1,2,3,5,6}:{(35,1),(36,1),(37,1),(38,1),(40,1),(44,1)}
      43:{1,4,5}:{(39,1),(40,1),(44,1)}
      44:{1,4,6}:{(41,1),(42,1),(43,1)}

615 :  0:{2,3,4,5}:{(2,1),(4,1),(31,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(20,1),(44,1),(59,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(7,1),(20,1)}
       3:{1,2,3,4}:{(5,1),(44,1)}
       4:{2,3,4,6}:{(0,1),(7,1),(9,1),(39,1)}
       5:{1,2,3,5}:{(1,1),(2,1),(3,1),(10,1)}
       6:{1,3,4,6}:{(1,1),(10,1),(11,1),(28,1)}
       7:{1,2,4,6}:{(2,1),(4,1),(10,1),(12,1),(28,1)}
       8:{1,2,3,4,6}:{(3,1),(10,1),(13,1),(28,1),(48,1),(49,1),(52,1),(62,1)}
       9:{2,3,5,6}:{(4,1),(12,1),(14,1),(29,1)}
      10:{1,2,3,6}:{(5,1),(6,1),(7,1)}
      11:{1,3,5,6}:{(6,1),(17,1),(59,1)}
      12:{1,2,5,6}:{(7,1),(9,1),(19,1)}
      13:{1,2,3,5}:{(8,1),(20,1),(41,1),(59,1),(63,1)}
      14:{4,5,6}:{(9,1)}
      15:{2,3,4,5}:{(22,1),(23,1),(54,1)}
      16:{2,4,5,6}:{(14,1),(26,1)}
      17:{1,4,5,6}:{(11,1),(24,1),(27,1),(28,1),(61,1)}
      18:{1,2,3,5,6}:{(10,1),(11,1),(12,1),(13,1),(27,1),(28,1),(29,1),(49,1)}
      19:{1,4,5,6}:{(12,1),(14,1),(28,1),(29,1)}
      20:{1,4,5}:{(13,1),(28,1),(31,1)}
      21:{3,4,5,6}:{(14,1),(26,1),(29,1),(32,1),(46,1)}
      22:{2,3,4,6}:{(15,1),(26,1),(34,1),(46,1)}
      23:{1,2,4,5}:{(15,1),(33,1),(34,1),(61,1)}
      24:{3,4,5,6}:{(17,1),(35,1),(39,1),(54,1)}
      25:{1,2,4,5,6}:{(16,1),(19,1),(36,1),(37,1),(38,1),(53,1),(56,1),(63,1)}
      26:{2,3,5,6}:{(16,1),(21,1),(22,1),(37,1)}
      27:{1,2,5,6}:{(17,1),(35,1),(38,1),(63,1)}
      28:{1,4,6}:{(18,1),(20,1),(39,1)}
      29:{3,5,6}:{(19,1),(39,1)}
      30:{1,2,4,5}:{(20,1),(38,1),(41,1),(53,1),(57,1),(63,1)}
      31:{3,4,5}:{(20,1),(39,1),(41,1)}
      32:{1,4,5,6}:{(21,1),(37,1),(40,1),(56,1)}
      33:{1,2,3,5}:{(23,1),(43,1),(44,1),(59,1)}
      34:{1,2,4,6}:{(22,1),(23,1),(37,1),(43,1),(56,1)}
      35:{2,3,5,6}:{(24,1),(27,1),(45,1),(49,1),(60,1)}
      36:{2,3,5,6}:{(25,1),(29,1),(46,1),(49,1),(60,1)}
      37:{1,2,5,6}:{(26,1),(32,1),(34,1)}
      38:{1,2,4,6}:{(27,1),(28,1),(30,1),(45,1),(49,1)}
      39:{3,4,6}:{(28,1),(29,1),(31,1),(49,1)}
      40:{1,3,5,6}:{(29,1),(32,1),(50,1)}
      41:{2,3,5}:{(30,1),(31,1),(48,1),(49,1)}
      42:{1,3,4,5}:{(31,1),(50,1),(51,1),(61,1)}
      43:{1,2,3,6}:{(33,1),(34,1),(52,1)}
      44:{1,3,4}:{(33,1)}
      45:{2,4,6}:{(35,1),(53,1)}
      46:{3,4,6}:{(36,1),(54,1),(56,1)}
      47:{1,2,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(56,1),(58,1),(59,1),(63,1)}
      48:{2,3,4}:{(41,1),(57,1)}
      49:{2,3,6}:{(38,1),(39,1),(41,1)}
      50:{1,3,4,6}:{(39,1),(40,1),(42,1),(56,1),(58,1)}
      51:{1,2,3,5}:{(41,1),(42,1),(57,1),(58,1),(63,1)}
      52:{1,3,4,6}:{(43,1),(44,1),(56,1),(59,1)}
      53:{2,4,5}:{(45,1),(60,1)}
      54:{3,4,5}:{(46,1),(60,1),(61,1)}
      55:{2,3,4,6}:{(45,1),(46,1),(48,1),(49,1),(60,1),(62,1)}
      56:{1,4,6}:{(46,1),(47,1),(61,1)}
      57:{1,2,4}:{(48,1),(51,1)}
      58:{1,2,3,6}:{(49,1),(50,1),(51,1),(62,1)}
      59:{1,3,5}:{(52,1),(61,1)}
      60:{2,3,5}:{(53,1),(54,1),(55,1),(63,1)}
      61:{1,4,5}:{(54,1),(56,1),(59,1),(63,1)}
      62:{1,2,4,6}:{(55,1),(56,1),(57,1),(58,1),(63,1)}
      63:{1,2,5}:{(60,1),(61,1),(62,1)}

616 :  0:{2,3,4,5}:{(3,1),(4,1),(36,1)}
       1:{2,3,4,5}:{(5,1),(6,1),(58,1)}
       2:{1,2,3,4}:{(10,1),(23,1)}
       3:{1,2,4,5}:{(0,1),(10,1),(11,1),(28,1)}
       4:{2,3,4,6}:{(0,1),(9,1),(11,1),(47,1)}
       5:{1,2,4,5}:{(1,1),(13,1),(14,1),(53,1)}
       6:{2,3,4,6}:{(1,1),(12,1),(14,1),(51,1)}
       7:{3,4,5,6}:{(12,1),(15,1),(16,1),(37,1),(51,1)}
       8:{1,2,3,4,6}:{(2,1),(17,1),(20,1),(33,1),(39,1),(50,1),(52,1),(54,1)}
       9:{2,3,5,6}:{(4,1),(16,1),(18,1),(37,1)}
      10:{1,2,3,5}:{(2,1),(3,1),(19,1),(20,1)}
      11:{1,2,4,6}:{(3,1),(4,1),(18,1),(20,1),(39,1)}
      12:{2,3,5,6}:{(6,1),(7,1),(21,1),(22,1)}
      13:{1,2,3,5}:{(5,1),(23,1),(24,1),(44,1)}
      14:{1,2,4,6}:{(5,1),(6,1),(22,1),(24,1),(43,1)}
      15:{1,4,5,6}:{(7,1),(22,1),(26,1),(43,1)}
      16:{4,5,6}:{(9,1)}
      17:{1,2,3,5}:{(8,1),(28,1),(44,1),(46,1),(59,1)}
      18:{1,2,5,6}:{(9,1),(11,1),(27,1)}
      19:{1,3,4,5}:{(10,1),(23,1),(28,1),(30,1),(44,1)}
      20:{1,2,3,6}:{(10,1),(11,1),(30,1)}
      21:{2,4,5,6}:{(12,1),(16,1)}
      22:{1,2,5,6}:{(12,1),(14,1),(15,1)}
      23:{1,3,4}:{(13,1)}
      24:{1,2,3,6}:{(13,1),(14,1),(33,1)}
      25:{1,3,4,5}:{(34,1),(35,1),(36,1),(53,1)}
      26:{1,3,5,6}:{(15,1),(35,1),(37,1)}
      27:{1,4,5,6}:{(16,1),(18,1),(37,1),(39,1)}
      28:{1,4,5}:{(17,1),(36,1),(39,1)}
      29:{1,2,3,5,6}:{(17,1),(18,1),(20,1),(37,1),(39,1),(40,1),(54,1),(56,1)}
      30:{1,3,4,6}:{(19,1),(20,1),(39,1),(40,1)}
      31:{1,2,4,5,6}:{(21,1),(22,1),(27,1),(41,1),(43,1),(48,1),(59,1),(63,1)}
      32:{1,2,3,5,6}:{(22,1),(24,1),(26,1),(41,1),(43,1),(44,1),(45,1),(59,1)}
      33:{1,3,4,6}:{(23,1),(24,1),(43,1),(44,1)}
      34:{1,2,3,5}:{(25,1),(42,1),(45,1),(46,1),(59,1)}
      35:{1,3,4,6}:{(25,1),(26,1),(43,1),(45,1),(47,1)}
      36:{3,4,5}:{(28,1),(46,1),(47,1)}
      37:{3,5,6}:{(27,1),(47,1)}
      38:{1,2,4,5}:{(28,1),(42,1),(46,1),(48,1),(59,1),(63,1)}
      39:{1,4,6}:{(28,1),(29,1),(47,1)}
      40:{1,3,5,6}:{(30,1),(44,1),(49,1)}
      41:{2,3,5,6}:{(31,1),(37,1),(51,1),(54,1),(61,1)}
      42:{1,2,4}:{(34,1),(50,1)}
      43:{1,4,6}:{(32,1),(51,1),(53,1)}
      44:{1,3,5}:{(33,1),(53,1)}
      45:{1,2,3,6}:{(34,1),(35,1),(52,1),(54,1)}
      46:{2,3,5}:{(36,1),(38,1),(50,1),(54,1)}
      47:{3,4,6}:{(36,1),(37,1),(39,1),(54,1)}
      48:{1,2,4,6}:{(38,1),(39,1),(54,1),(56,1),(62,1)}
      49:{1,4,5,6}:{(39,1),(40,1),(53,1),(55,1),(56,1)}
      50:{2,3,4}:{(42,1),(46,1)}
      51:{3,4,6}:{(41,1),(43,1),(58,1)}
      52:{1,2,4,6}:{(42,1),(43,1),(45,1),(57,1),(59,1)}
      53:{1,4,5}:{(43,1),(44,1),(58,1),(59,1)}
      54:{2,3,6}:{(46,1),(47,1),(48,1)}
      55:{3,4,5,6}:{(47,1),(49,1),(58,1),(60,1)}
      56:{1,2,5,6}:{(48,1),(49,1),(59,1),(60,1)}
      57:{2,3,4,6}:{(50,1),(51,1),(52,1),(54,1),(61,1),(62,1)}
      58:{3,4,5}:{(51,1),(53,1),(61,1)}
      59:{1,2,5}:{(52,1),(53,1),(61,1)}
      60:{2,3,5,6}:{(54,1),(55,1),(56,1),(61,1),(62,1)}
      61:{2,3,5}:{(57,1),(58,1),(59,1),(63,1)}
      62:{2,4,6}:{(60,1),(63,1)}
      63:{2,4,5}:{(61,1),(62,1)}

617 :  0:{1,3,4,5,6}:{(1,1),(18,1),(29,1),(34,1),(36,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(11,1)}
       2:{1,2,4,6}:{(1,1),(4,1),(5,1),(34,1)}
       3:{2,3,4,5}:{(8,1),(9,1),(18,1)}
       4:{1,2,4,5}:{(2,1),(11,1),(27,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(24,1)}
       6:{2,4,5,6}:{(13,1)}
       7:{1,2,3,4}:{(14,1)}
       8:{2,3,4,6}:{(3,1),(13,1),(15,1),(24,1)}
       9:{1,2,4,5}:{(3,1),(14,1),(15,1),(27,1)}
      10:{1,2,4,5,6}:{(4,1),(6,1),(17,1),(20,1),(31,1),(34,1),(44,1)}
      11:{2,3,5}:{(4,1),(5,1),(18,1)}
      12:{1,2,3,4,6}:{(5,1),(7,1),(19,1),(21,1),(34,1),(42,1),(43,1)}
      13:{2,3,5,6}:{(6,1),(8,1),(16,1),(20,1)}
      14:{1,2,3,5}:{(7,1),(9,1),(21,1),(22,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(20,1),(21,1),(34,1)}
      16:{3,4,5,6}:{(13,1),(23,1),(24,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(24,1)}
      18:{3,4,5}:{(11,1),(24,1),(27,1)}
      19:{1,2,3,5}:{(11,1),(12,1),(27,1)}
      20:{1,2,5,6}:{(13,1),(15,1),(23,1)}
      21:{1,2,3,6}:{(14,1),(15,1),(28,1)}
      22:{1,3,4,5}:{(14,1),(27,1),(28,1)}
      23:{1,4,5,6}:{(16,1),(20,1),(29,1),(34,1)}
      24:{3,4,6}:{(17,1),(18,1),(34,1)}
      25:{1,2,3,5,6}:{(17,1),(19,1),(20,1),(21,1),(29,1),(34,1),(36,1),(43,1),(44,1)}
      26:{2,3,4,5}:{(18,1),(33,1),(35,1)}
      27:{1,4,5}:{(18,1),(19,1),(34,1)}
      28:{1,3,4,6}:{(21,1),(22,1),(34,1),(36,1)}
      29:{1,3,5,6}:{(23,1),(37,1)}
      30:{1,3,4,5}:{(27,1),(37,1),(38,1)}
      31:{2,4,5,6}:{(39,1)}
      32:{3,4,5,6}:{(24,1),(39,1),(40,1)}
      33:{2,3,4,6}:{(24,1),(26,1),(39,1),(41,1)}
      34:{1,4,6}:{(24,1),(25,1),(27,1)}
      35:{1,2,4,5}:{(26,1),(27,1),(38,1),(41,1)}
      36:{1,3,5,6}:{(28,1),(40,1)}
      37:{1,3,4,6}:{(29,1),(30,1),(34,1),(43,1)}
      38:{1,2,3,5}:{(30,1),(35,1),(42,1),(43,1)}
      39:{2,3,5,6}:{(31,1),(32,1),(33,1),(44,1)}
      40:{1,4,5,6}:{(32,1),(34,1),(36,1),(44,1)}
      41:{1,2,4,6}:{(33,1),(34,1),(35,1),(43,1),(44,1)}
      42:{1,2,3,4}:{(38,1)}
      43:{1,2,3,6}:{(37,1),(38,1),(41,1)}
      44:{1,2,5,6}:{(39,1),(40,1),(41,1)}

618 :  0:{2,3,4,5}:{(2,1),(3,1),(51,1)}
       1:{1,3,4,5}:{(5,1),(6,1),(31,1),(41,1),(49,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(7,1),(41,1)}
       3:{2,3,4,6}:{(0,1),(7,1),(8,1),(43,1)}
       4:{2,3,4,5}:{(10,1),(11,1),(46,1)}
       5:{1,2,3,5}:{(1,1),(2,1),(12,1),(13,1)}
       6:{1,3,4,6}:{(1,1),(13,1),(14,1),(34,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(13,1),(15,1),(34,1)}
       8:{2,3,5,6}:{(3,1),(15,1),(16,1),(35,1)}
       9:{2,4,5,6}:{(16,1),(19,1)}
      10:{2,3,4,6}:{(4,1),(19,1),(21,1),(38,1)}
      11:{1,2,4,5}:{(4,1),(20,1),(21,1),(55,1)}
      12:{1,2,3,4}:{(5,1),(31,1)}
      13:{1,2,3,6}:{(5,1),(6,1),(7,1)}
      14:{1,3,5,6}:{(6,1),(23,1),(49,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(25,1)}
      16:{4,5,6}:{(8,1)}
      17:{3,4,5,6}:{(23,1),(27,1),(43,1),(46,1)}
      18:{1,2,4,5,6}:{(9,1),(25,1),(28,1),(29,1),(42,1),(45,1),(48,1),(60,1)}
      19:{2,3,5,6}:{(9,1),(10,1),(26,1),(29,1)}
      20:{1,2,3,5}:{(11,1),(30,1),(31,1),(49,1)}
      21:{1,2,4,6}:{(10,1),(11,1),(29,1),(30,1),(48,1)}
      22:{1,2,3,4,6}:{(12,1),(13,1),(32,1),(34,1),(40,1),(52,1),(56,1),(61,1)}
      23:{1,4,5,6}:{(14,1),(17,1),(33,1),(34,1),(55,1)}
      24:{1,2,3,5,6}:{(13,1),(14,1),(15,1),(32,1),(33,1),(34,1),(35,1),(52,1)}
      25:{1,4,5,6}:{(15,1),(16,1),(34,1),(35,1)}
      26:{3,4,5,6}:{(16,1),(19,1),(35,1),(36,1),(38,1)}
      27:{2,3,5,6}:{(17,1),(33,1),(37,1),(52,1),(54,1)}
      28:{2,3,5,6}:{(18,1),(35,1),(38,1),(52,1),(54,1)}
      29:{1,2,5,6}:{(19,1),(21,1),(36,1)}
      30:{1,2,3,6}:{(20,1),(21,1),(40,1)}
      31:{1,3,4}:{(20,1)}
      32:{1,2,3,5}:{(22,1),(41,1),(49,1),(57,1),(60,1)}
      33:{1,2,5,6}:{(23,1),(27,1),(42,1),(60,1)}
      34:{1,4,6}:{(24,1),(41,1),(43,1)}
      35:{3,5,6}:{(25,1),(43,1)}
      36:{1,4,5,6}:{(26,1),(29,1),(44,1),(48,1)}
      37:{2,4,6}:{(27,1),(45,1)}
      38:{3,4,6}:{(28,1),(46,1),(48,1)}
      39:{1,2,3,5,6}:{(28,1),(29,1),(30,1),(44,1),(48,1),(49,1),(59,1),(60,1)}
      40:{1,3,4,6}:{(30,1),(31,1),(48,1),(49,1)}
      41:{1,4,5}:{(32,1),(34,1),(51,1)}
      42:{1,2,4,6}:{(33,1),(34,1),(37,1),(50,1),(52,1)}
      43:{3,4,6}:{(34,1),(35,1),(51,1),(52,1)}
      44:{1,3,5,6}:{(35,1),(36,1),(53,1)}
      45:{2,4,5}:{(37,1),(54,1)}
      46:{3,4,5}:{(38,1),(54,1),(55,1)}
      47:{2,3,4,6}:{(37,1),(38,1),(52,1),(54,1),(56,1),(61,1)}
      48:{1,4,6}:{(38,1),(39,1),(55,1)}
      49:{1,3,5}:{(40,1),(55,1)}
      50:{1,2,4,5}:{(41,1),(42,1),(45,1),(57,1),(60,1),(63,1)}
      51:{3,4,5}:{(41,1),(43,1),(57,1)}
      52:{2,3,6}:{(42,1),(43,1),(57,1)}
      53:{1,3,4,6}:{(43,1),(44,1),(48,1),(58,1),(59,1)}
      54:{2,3,5}:{(45,1),(46,1),(47,1),(60,1)}
      55:{1,4,5}:{(46,1),(48,1),(49,1),(60,1)}
      56:{1,2,4,6}:{(47,1),(48,1),(59,1),(60,1),(63,1)}
      57:{2,3,5}:{(50,1),(51,1),(52,1),(61,1)}
      58:{1,3,4,5}:{(51,1),(53,1),(55,1),(62,1)}
      59:{1,2,3,6}:{(52,1),(53,1),(56,1),(62,1)}
      60:{1,2,5}:{(54,1),(55,1),(56,1)}
      61:{2,3,4}:{(57,1),(63,1)}
      62:{1,2,3,5}:{(57,1),(58,1),(59,1),(60,1),(63,1)}
      63:{1,2,4}:{(61,1),(62,1)}

619 :  0:{2,3,4,5}:{(2,1),(3,1),(34,1)}
       1:{2,4,5,6}:{(5,1),(30,1)}
       2:{1,2,4,5}:{(0,1),(7,1),(8,1),(43,1)}
       3:{2,3,4,6}:{(0,1),(5,1),(8,1),(23,1)}
       4:{2,3,4,5}:{(10,1),(11,1),(60,1)}
       5:{2,3,5,6}:{(1,1),(3,1),(12,1),(13,1)}
       6:{1,2,4,5,6}:{(1,1),(13,1),(14,1),(32,1),(40,1),(52,1),(53,1),(54,1)}
       7:{1,2,3,5}:{(2,1),(15,1),(16,1),(38,1)}
       8:{1,2,4,6}:{(2,1),(3,1),(13,1),(16,1),(32,1)}
       9:{1,3,4,5}:{(15,1),(17,1),(18,1),(38,1),(55,1)}
      10:{1,2,4,5}:{(4,1),(17,1),(19,1),(55,1)}
      11:{2,3,4,6}:{(4,1),(19,1),(20,1),(56,1)}
      12:{3,4,5,6}:{(5,1),(21,1),(23,1),(30,1),(49,1)}
      13:{1,2,5,6}:{(5,1),(8,1),(21,1)}
      14:{2,3,5,6}:{(6,1),(23,1),(44,1),(49,1),(59,1)}
      15:{1,3,4}:{(7,1)}
      16:{1,2,3,6}:{(7,1),(8,1),(26,1)}
      17:{1,2,3,5}:{(9,1),(10,1),(25,1),(27,1)}
      18:{1,3,4,6}:{(9,1),(27,1),(28,1),(48,1)}
      19:{1,2,4,6}:{(10,1),(11,1),(27,1),(29,1),(48,1)}
      20:{2,3,5,6}:{(11,1),(29,1),(30,1),(49,1)}
      21:{1,4,5,6}:{(12,1),(13,1),(31,1),(32,1)}
      22:{1,2,3,5,6}:{(13,1),(14,1),(16,1),(31,1),(32,1),(38,1),(50,1),(52,1)}
      23:{3,4,6}:{(14,1),(32,1),(34,1)}
      24:{3,4,5,6}:{(34,1),(35,1),(36,1),(56,1)}
      25:{1,2,3,4}:{(15,1),(17,1)}
      26:{1,3,4,6}:{(15,1),(16,1),(32,1),(38,1)}
      27:{1,2,3,6}:{(17,1),(18,1),(19,1)}
      28:{1,3,5,6}:{(18,1),(35,1),(38,1)}
      29:{1,2,5,6}:{(19,1),(20,1),(40,1)}
      30:{4,5,6}:{(20,1)}
      31:{1,3,5,6}:{(21,1),(41,1),(49,1)}
      32:{1,4,6}:{(22,1),(23,1),(43,1)}
      33:{2,3,4,6}:{(23,1),(42,1),(44,1),(46,1),(59,1),(63,1)}
      34:{3,4,5}:{(23,1),(43,1),(44,1)}
      35:{1,4,5,6}:{(24,1),(28,1),(43,1),(45,1),(48,1)}
      36:{2,3,5,6}:{(24,1),(44,1),(45,1),(46,1),(59,1)}
      37:{1,2,3,4,6}:{(25,1),(26,1),(27,1),(42,1),(47,1),(48,1),(59,1),(63,1)}
      38:{1,3,5}:{(26,1),(43,1)}
      39:{1,2,3,5,6}:{(27,1),(28,1),(29,1),(45,1),(47,1),(48,1),(49,1),(59,1)}
      40:{1,4,5,6}:{(29,1),(30,1),(48,1),(49,1)}
      41:{1,3,4,6}:{(31,1),(32,1),(50,1),(51,1),(56,1)}
      42:{1,2,4,6}:{(32,1),(33,1),(50,1),(52,1),(61,1)}
      43:{1,4,5}:{(32,1),(34,1),(38,1),(52,1)}
      44:{2,3,5}:{(33,1),(34,1),(52,1),(53,1)}
      45:{1,2,5,6}:{(35,1),(36,1),(52,1),(54,1)}
      46:{2,4,6}:{(36,1),(53,1)}
      47:{1,2,3,5}:{(37,1),(38,1),(52,1),(55,1),(62,1)}
      48:{1,4,6}:{(39,1),(55,1),(56,1)}
      49:{3,5,6}:{(40,1),(56,1)}
      50:{1,2,3,6}:{(41,1),(42,1),(57,1),(59,1)}
      51:{1,3,4,5}:{(41,1),(43,1),(57,1),(60,1)}
      52:{1,2,5}:{(42,1),(43,1),(44,1)}
      53:{2,4,5}:{(44,1),(46,1)}
      54:{1,2,4,6}:{(45,1),(46,1),(48,1),(58,1),(59,1)}
      55:{1,4,5}:{(47,1),(48,1),(60,1)}
      56:{3,4,6}:{(48,1),(49,1),(59,1),(60,1)}
      57:{1,2,3,5}:{(50,1),(51,1),(52,1),(61,1),(62,1)}
      58:{1,2,4,5}:{(52,1),(53,1),(54,1),(55,1),(61,1),(62,1)}
      59:{2,3,6}:{(54,1),(56,1),(62,1)}
      60:{3,4,5}:{(55,1),(56,1),(62,1)}
      61:{1,2,4}:{(57,1),(63,1)}
      62:{2,3,5}:{(58,1),(59,1),(60,1),(63,1)}
      63:{2,3,4}:{(61,1),(62,1)}

620 :  0:{1,3,4,5,6}:{(1,1),(19,1),(21,1),(35,1),(44,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(11,1)}
       2:{1,2,4,6}:{(1,1),(4,1),(5,1),(35,1)}
       3:{1,3,4,5}:{(9,1),(10,1),(30,1)}
       4:{1,2,4,5}:{(2,1),(11,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(27,1)}
       6:{1,2,3,4}:{(10,1)}
       7:{2,3,4,5}:{(16,1),(17,1),(21,1)}
       8:{1,2,4,5,6}:{(4,1),(13,1),(15,1),(18,1),(32,1),(34,1),(35,1)}
       9:{1,3,4,6}:{(3,1),(19,1),(20,1),(35,1)}
      10:{1,2,3,5}:{(3,1),(6,1),(17,1),(20,1)}
      11:{2,3,5}:{(4,1),(5,1),(21,1)}
      12:{1,2,3,4,6}:{(5,1),(6,1),(20,1),(22,1),(35,1),(42,1),(43,1)}
      13:{2,4,5,6}:{(23,1)}
      14:{3,4,5,6}:{(23,1),(24,1),(27,1)}
      15:{2,4,5,6}:{(25,1)}
      16:{2,3,4,6}:{(7,1),(25,1),(26,1),(27,1)}
      17:{1,2,4,5}:{(7,1),(10,1),(26,1),(30,1)}
      18:{2,3,5,6}:{(8,1),(11,1),(27,1)}
      19:{1,3,5,6}:{(9,1),(24,1)}
      20:{1,2,3,6}:{(9,1),(10,1),(26,1)}
      21:{3,4,5}:{(11,1),(27,1),(30,1)}
      22:{1,2,3,5}:{(11,1),(12,1),(30,1)}
      23:{2,3,5,6}:{(13,1),(14,1),(31,1),(32,1)}
      24:{1,4,5,6}:{(14,1),(19,1),(32,1),(35,1)}
      25:{2,3,5,6}:{(15,1),(16,1),(33,1),(34,1)}
      26:{1,2,4,6}:{(16,1),(17,1),(20,1),(34,1),(35,1)}
      27:{3,4,6}:{(18,1),(21,1),(35,1)}
      28:{1,2,3,5,6}:{(18,1),(19,1),(20,1),(22,1),(32,1),(34,1),(35,1),(43,1),(44,1)}
      29:{2,3,4,5}:{(21,1),(31,1),(36,1)}
      30:{1,4,5}:{(21,1),(22,1),(35,1)}
      31:{2,3,4,6}:{(23,1),(27,1),(29,1),(38,1)}
      32:{1,2,5,6}:{(23,1),(24,1),(38,1)}
      33:{3,4,5,6}:{(25,1),(27,1),(39,1)}
      34:{1,2,5,6}:{(25,1),(26,1),(39,1)}
      35:{1,4,6}:{(27,1),(28,1),(30,1)}
      36:{1,2,4,5}:{(29,1),(30,1),(38,1),(41,1)}
      37:{1,3,4,5}:{(30,1),(40,1),(41,1)}
      38:{1,2,4,6}:{(31,1),(32,1),(35,1),(36,1),(43,1)}
      39:{1,4,5,6}:{(33,1),(34,1),(35,1),(44,1)}
      40:{1,3,4,6}:{(35,1),(37,1),(43,1),(44,1)}
      41:{1,2,3,5}:{(36,1),(37,1),(42,1),(43,1)}
      42:{1,2,3,4}:{(41,1)}
      43:{1,2,3,6}:{(38,1),(40,1),(41,1)}
      44:{1,3,5,6}:{(39,1),(40,1)}

621 :  0:{1,3,4,5,6}:{(1,1),(20,1),(23,1),(35,1),(39,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(13,1)}
       2:{1,2,4,6}:{(1,1),(4,1),(5,1),(35,1)}
       3:{2,3,4,5}:{(9,1),(10,1),(20,1)}
       4:{2,3,4,6}:{(2,1),(13,1),(30,1)}
       5:{1,2,4,5}:{(2,1),(13,1),(27,1)}
       6:{2,4,5,6}:{(12,1)}
       7:{3,4,5,6}:{(12,1),(15,1),(30,1)}
       8:{1,2,3,4}:{(16,1)}
       9:{1,2,4,5}:{(3,1),(16,1),(17,1),(27,1)}
      10:{2,3,4,6}:{(3,1),(12,1),(17,1),(30,1)}
      11:{1,2,3,4,6}:{(4,1),(8,1),(18,1),(25,1),(26,1),(35,1),(38,1)}
      12:{2,3,5,6}:{(6,1),(7,1),(10,1),(19,1)}
      13:{2,3,5}:{(4,1),(5,1),(20,1)}
      14:{1,2,4,5,6}:{(5,1),(6,1),(19,1),(21,1),(35,1),(43,1),(44,1)}
      15:{1,4,5,6}:{(7,1),(19,1),(23,1),(35,1)}
      16:{1,2,3,5}:{(8,1),(9,1),(24,1),(25,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(19,1),(25,1),(35,1)}
      18:{1,2,3,5}:{(11,1),(13,1),(27,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(17,1)}
      20:{3,4,5}:{(13,1),(27,1),(30,1)}
      21:{2,3,5,6}:{(13,1),(14,1),(30,1)}
      22:{1,3,4,5}:{(27,1),(31,1),(32,1)}
      23:{1,3,5,6}:{(15,1),(32,1)}
      24:{1,3,4,5}:{(16,1),(27,1),(33,1)}
      25:{1,2,3,6}:{(16,1),(17,1),(33,1)}
      26:{1,2,3,4}:{(31,1)}
      27:{1,4,5}:{(18,1),(20,1),(35,1)}
      28:{1,2,3,5,6}:{(18,1),(19,1),(21,1),(23,1),(25,1),(35,1),(38,1),(39,1),(43,1)}
      29:{2,3,4,5}:{(20,1),(34,1),(36,1)}
      30:{3,4,6}:{(20,1),(21,1),(35,1)}
      31:{1,2,3,5}:{(22,1),(26,1),(34,1),(38,1)}
      32:{1,3,4,6}:{(22,1),(23,1),(35,1),(38,1)}
      33:{1,3,4,6}:{(24,1),(25,1),(35,1),(39,1)}
      34:{1,2,4,5}:{(27,1),(29,1),(31,1),(40,1)}
      35:{1,4,6}:{(27,1),(28,1),(30,1)}
      36:{2,3,4,6}:{(29,1),(30,1),(40,1),(42,1)}
      37:{3,4,5,6}:{(30,1),(41,1),(42,1)}
      38:{1,2,3,6}:{(31,1),(32,1),(40,1)}
      39:{1,3,5,6}:{(33,1),(41,1)}
      40:{1,2,4,6}:{(34,1),(35,1),(36,1),(38,1),(43,1)}
      41:{1,4,5,6}:{(35,1),(37,1),(39,1),(43,1)}
      42:{2,3,5,6}:{(36,1),(37,1),(43,1),(44,1)}
      43:{1,2,5,6}:{(40,1),(41,1),(42,1)}
      44:{2,4,5,6}:{(42,1)}

622 :  0:{1,3,4,5,6}:{(1,1),(18,1),(29,1),(34,1),(36,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(11,1)}
       2:{1,2,4,6}:{(1,1),(4,1),(5,1),(34,1)}
       3:{2,3,4,5}:{(8,1),(9,1),(18,1)}
       4:{1,2,4,5}:{(2,1),(11,1),(27,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(24,1)}
       6:{2,4,5,6}:{(13,1)}
       7:{1,2,3,4}:{(14,1)}
       8:{2,3,4,6}:{(3,1),(13,1),(15,1),(24,1)}
       9:{1,2,4,5}:{(3,1),(14,1),(15,1),(27,1)}
      10:{1,2,4,5,6}:{(4,1),(6,1),(17,1),(20,1),(31,1),(34,1),(44,1)}
      11:{2,3,5}:{(4,1),(5,1),(18,1)}
      12:{1,2,3,4,6}:{(5,1),(7,1),(19,1),(21,1),(34,1),(37,1),(43,1)}
      13:{2,3,5,6}:{(6,1),(8,1),(16,1),(20,1)}
      14:{1,2,3,5}:{(7,1),(9,1),(21,1),(22,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(20,1),(21,1),(34,1)}
      16:{3,4,5,6}:{(13,1),(23,1),(24,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(24,1)}
      18:{3,4,5}:{(11,1),(24,1),(27,1)}
      19:{1,2,3,5}:{(11,1),(12,1),(27,1)}
      20:{1,2,5,6}:{(13,1),(15,1),(23,1)}
      21:{1,2,3,6}:{(14,1),(15,1),(28,1)}
      22:{1,3,4,5}:{(14,1),(27,1),(28,1)}
      23:{1,4,5,6}:{(16,1),(20,1),(29,1),(34,1)}
      24:{3,4,6}:{(17,1),(18,1),(34,1)}
      25:{1,2,3,5,6}:{(17,1),(19,1),(20,1),(21,1),(29,1),(34,1),(36,1),(43,1),(44,1)}
      26:{2,3,4,5}:{(18,1),(33,1),(35,1)}
      27:{1,4,5}:{(18,1),(19,1),(34,1)}
      28:{1,3,4,6}:{(21,1),(22,1),(34,1),(36,1)}
      29:{1,3,5,6}:{(23,1),(38,1)}
      30:{1,3,4,5}:{(27,1),(38,1),(39,1)}
      31:{2,4,5,6}:{(40,1)}
      32:{3,4,5,6}:{(24,1),(40,1),(41,1)}
      33:{2,3,4,6}:{(24,1),(26,1),(40,1),(42,1)}
      34:{1,4,6}:{(24,1),(25,1),(27,1)}
      35:{1,2,4,5}:{(26,1),(27,1),(39,1),(42,1)}
      36:{1,3,5,6}:{(28,1),(41,1)}
      37:{1,2,3,4}:{(39,1)}
      38:{1,3,4,6}:{(29,1),(30,1),(34,1),(43,1)}
      39:{1,2,3,5}:{(30,1),(35,1),(37,1),(43,1)}
      40:{2,3,5,6}:{(31,1),(32,1),(33,1),(44,1)}
      41:{1,4,5,6}:{(32,1),(34,1),(36,1),(44,1)}
      42:{1,2,4,6}:{(33,1),(34,1),(35,1),(43,1),(44,1)}
      43:{1,2,3,6}:{(38,1),(39,1),(42,1)}
      44:{1,2,5,6}:{(40,1),(41,1),(42,1)}

623 :  0:{2,3,4,5,6}:{(1,1),(11,1)}
       1:{1,2,4,5,6}:{(0,1),(2,1),(9,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(7,1)}
       3:{1,3,4,6}:{(2,1),(5,1)}
       4:{1,2,3,4,6}:{(3,1),(7,1),(10,1)}
       5:{1,3,4,5}:{(3,1),(7,1)}
       6:{1,3,4,5,6}:{(5,1),(8,1),(17,1)}
       7:{1,2,3,5}:{(4,1),(5,1),(9,1)}
       8:{1,2,3,5,6}:{(6,1),(7,1),(10,1),(15,1)}
       9:{1,2,4,5}:{(7,1),(10,1),(11,1)}
      10:{1,2,4,6}:{(8,1),(9,1),(13,1)}
      11:{2,3,4,5}:{(9,1),(13,1)}
      12:{1,2,4,5,6}:{(10,1),(15,1),(19,1)}
      13:{2,3,4,6}:{(10,1),(11,1),(15,1)}
      14:{1,2,3,4,5}:{(11,1),(16,1)}
      15:{2,3,5,6}:{(12,1),(13,1),(17,1)}
      16:{1,2,3,4,6}:{(13,1),(14,1),(18,1)}
      17:{3,4,5,6}:{(15,1),(19,1)}
      18:{1,2,3,5,6}:{(15,1),(16,1),(19,1)}
      19:{1,4,5,6}:{(17,1),(18,1)}

624 :  0:{1,3,4,5,6}:{(1,1),(17,1),(20,1),(36,1),(43,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(9,1)}
       2:{1,2,4,6}:{(1,1),(3,1),(4,1),(36,1)}
       3:{1,2,4,5}:{(2,1),(9,1),(28,1)}
       4:{2,3,4,6}:{(2,1),(9,1),(25,1)}
       5:{2,4,5,6}:{(11,1)}
       6:{3,4,5,6}:{(11,1),(12,1),(25,1)}
       7:{2,3,4,5}:{(14,1),(15,1),(17,1)}
       8:{1,2,4,5,6}:{(3,1),(5,1),(16,1),(19,1),(33,1),(36,1),(44,1)}
       9:{2,3,5}:{(3,1),(4,1),(17,1)}
      10:{1,2,3,4,6}:{(4,1),(13,1),(18,1),(22,1),(31,1),(36,1),(38,1)}
      11:{2,3,5,6}:{(5,1),(6,1),(14,1),(19,1)}
      12:{1,4,5,6}:{(6,1),(19,1),(20,1),(36,1)}
      13:{1,2,3,4}:{(23,1)}
      14:{2,3,4,6}:{(7,1),(11,1),(24,1),(25,1)}
      15:{1,2,4,5}:{(7,1),(23,1),(24,1),(28,1)}
      16:{2,3,5,6}:{(8,1),(9,1),(25,1)}
      17:{3,4,5}:{(9,1),(25,1),(28,1)}
      18:{1,2,3,5}:{(9,1),(10,1),(28,1)}
      19:{1,2,5,6}:{(11,1),(12,1),(24,1)}
      20:{1,3,5,6}:{(12,1),(29,1)}
      21:{1,3,4,5}:{(28,1),(29,1),(30,1)}
      22:{1,2,3,4}:{(30,1)}
      23:{1,2,3,5}:{(13,1),(15,1),(31,1),(32,1)}
      24:{1,2,4,6}:{(14,1),(15,1),(19,1),(31,1),(36,1)}
      25:{3,4,6}:{(16,1),(17,1),(36,1)}
      26:{1,2,3,5,6}:{(16,1),(18,1),(19,1),(20,1),(31,1),(36,1),(38,1),(43,1),(44,1)}
      27:{2,3,4,5}:{(17,1),(35,1),(37,1)}
      28:{1,4,5}:{(17,1),(18,1),(36,1)}
      29:{1,3,4,6}:{(20,1),(21,1),(36,1),(38,1)}
      30:{1,2,3,5}:{(21,1),(22,1),(37,1),(38,1)}
      31:{1,2,3,6}:{(23,1),(24,1),(39,1)}
      32:{1,3,4,5}:{(23,1),(28,1),(39,1)}
      33:{2,4,5,6}:{(40,1)}
      34:{3,4,5,6}:{(25,1),(40,1),(41,1)}
      35:{2,3,4,6}:{(25,1),(27,1),(40,1),(42,1)}
      36:{1,4,6}:{(25,1),(26,1),(28,1)}
      37:{1,2,4,5}:{(27,1),(28,1),(30,1),(42,1)}
      38:{1,2,3,6}:{(29,1),(30,1),(42,1)}
      39:{1,3,4,6}:{(31,1),(32,1),(36,1),(43,1)}
      40:{2,3,5,6}:{(33,1),(34,1),(35,1),(44,1)}
      41:{1,4,5,6}:{(34,1),(36,1),(43,1),(44,1)}
      42:{1,2,4,6}:{(35,1),(36,1),(37,1),(38,1),(44,1)}
      43:{1,3,5,6}:{(39,1),(41,1)}
      44:{1,2,5,6}:{(40,1),(41,1),(42,1)}

625 :  0:{1,3,4,5,6}:{(1,1),(19,1),(21,1),(35,1),(44,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(11,1)}
       2:{1,2,4,6}:{(1,1),(4,1),(5,1),(35,1)}
       3:{1,3,4,5}:{(9,1),(10,1),(30,1)}
       4:{1,2,4,5}:{(2,1),(11,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(27,1)}
       6:{1,2,3,4}:{(10,1)}
       7:{2,3,4,5}:{(16,1),(17,1),(21,1)}
       8:{1,2,4,5,6}:{(4,1),(13,1),(15,1),(18,1),(32,1),(34,1),(35,1)}
       9:{1,3,4,6}:{(3,1),(19,1),(20,1),(35,1)}
      10:{1,2,3,5}:{(3,1),(6,1),(17,1),(20,1)}
      11:{2,3,5}:{(4,1),(5,1),(21,1)}
      12:{1,2,3,4,6}:{(5,1),(6,1),(20,1),(22,1),(35,1),(38,1),(43,1)}
      13:{2,4,5,6}:{(23,1)}
      14:{3,4,5,6}:{(23,1),(24,1),(27,1)}
      15:{2,4,5,6}:{(25,1)}
      16:{2,3,4,6}:{(7,1),(25,1),(26,1),(27,1)}
      17:{1,2,4,5}:{(7,1),(10,1),(26,1),(30,1)}
      18:{2,3,5,6}:{(8,1),(11,1),(27,1)}
      19:{1,3,5,6}:{(9,1),(24,1)}
      20:{1,2,3,6}:{(9,1),(10,1),(26,1)}
      21:{3,4,5}:{(11,1),(27,1),(30,1)}
      22:{1,2,3,5}:{(11,1),(12,1),(30,1)}
      23:{2,3,5,6}:{(13,1),(14,1),(31,1),(32,1)}
      24:{1,4,5,6}:{(14,1),(19,1),(32,1),(35,1)}
      25:{2,3,5,6}:{(15,1),(16,1),(33,1),(34,1)}
      26:{1,2,4,6}:{(16,1),(17,1),(20,1),(34,1),(35,1)}
      27:{3,4,6}:{(18,1),(21,1),(35,1)}
      28:{1,2,3,5,6}:{(18,1),(19,1),(20,1),(22,1),(32,1),(34,1),(35,1),(43,1),(44,1)}
      29:{2,3,4,5}:{(21,1),(31,1),(36,1)}
      30:{1,4,5}:{(21,1),(22,1),(35,1)}
      31:{2,3,4,6}:{(23,1),(27,1),(29,1),(39,1)}
      32:{1,2,5,6}:{(23,1),(24,1),(39,1)}
      33:{3,4,5,6}:{(25,1),(27,1),(40,1)}
      34:{1,2,5,6}:{(25,1),(26,1),(40,1)}
      35:{1,4,6}:{(27,1),(28,1),(30,1)}
      36:{1,2,4,5}:{(29,1),(30,1),(39,1),(42,1)}
      37:{1,3,4,5}:{(30,1),(41,1),(42,1)}
      38:{1,2,3,4}:{(42,1)}
      39:{1,2,4,6}:{(31,1),(32,1),(35,1),(36,1),(43,1)}
      40:{1,4,5,6}:{(33,1),(34,1),(35,1),(44,1)}
      41:{1,3,4,6}:{(35,1),(37,1),(43,1),(44,1)}
      42:{1,2,3,5}:{(36,1),(37,1),(38,1),(43,1)}
      43:{1,2,3,6}:{(39,1),(41,1),(42,1)}
      44:{1,3,5,6}:{(40,1),(41,1)}

626 :  0:{1,2,3,4,5}:{(1,1),(10,1)}
       1:{1,2,3,4,6}:{(0,1),(2,1),(8,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(6,1)}
       3:{1,4,5,6}:{(2,1),(5,1)}
       4:{1,2,4,5,6}:{(3,1),(6,1),(11,1)}
       5:{3,4,5,6}:{(3,1),(6,1)}
       6:{2,3,5,6}:{(4,1),(5,1),(8,1)}
       7:{1,3,4,5,6}:{(5,1),(9,1),(18,1)}
       8:{2,3,4,6}:{(6,1),(10,1),(11,1)}
       9:{1,2,3,5,6}:{(6,1),(7,1),(11,1),(16,1)}
      10:{2,3,4,5}:{(8,1),(13,1)}
      11:{1,2,4,6}:{(8,1),(9,1),(13,1)}
      12:{2,3,4,5,6}:{(10,1),(15,1)}
      13:{1,2,4,5}:{(10,1),(11,1),(16,1)}
      14:{1,2,3,4,6}:{(11,1),(16,1),(19,1)}
      15:{1,2,4,5,6}:{(12,1),(13,1),(17,1)}
      16:{1,2,3,5}:{(13,1),(14,1),(18,1)}
      17:{1,2,3,5,6}:{(15,1),(16,1),(19,1)}
      18:{1,3,4,5}:{(16,1),(19,1)}
      19:{1,3,4,6}:{(17,1),(18,1)}

627 :  0:{1,3,4,5,6}:{(1,1),(21,1),(25,1),(36,1),(37,1)}
       1:{1,2,3,5,6}:{(0,1),(3,1),(16,1)}
       2:{2,3,4,5}:{(6,1),(7,1),(25,1)}
       3:{1,2,4,6}:{(1,1),(8,1),(9,1),(36,1)}
       4:{1,3,4,5}:{(12,1),(13,1),(33,1)}
       5:{2,4,5,6}:{(14,1)}
       6:{2,3,4,6}:{(2,1),(14,1),(15,1),(29,1)}
       7:{1,2,4,5}:{(2,1),(13,1),(15,1),(33,1)}
       8:{1,2,4,5}:{(3,1),(16,1),(33,1)}
       9:{2,3,4,6}:{(3,1),(16,1),(29,1)}
      10:{1,2,3,4}:{(13,1)}
      11:{1,2,4,5,6}:{(5,1),(8,1),(18,1),(20,1),(24,1),(35,1),(36,1)}
      12:{1,3,4,6}:{(4,1),(21,1),(22,1),(36,1)}
      13:{1,2,3,5}:{(4,1),(7,1),(10,1),(22,1)}
      14:{2,3,5,6}:{(5,1),(6,1),(23,1),(24,1)}
      15:{1,2,4,6}:{(6,1),(7,1),(22,1),(24,1),(36,1)}
      16:{2,3,5}:{(8,1),(9,1),(25,1)}
      17:{1,2,3,4,6}:{(9,1),(10,1),(22,1),(26,1),(36,1),(43,1),(44,1)}
      18:{2,4,5,6}:{(27,1)}
      19:{3,4,5,6}:{(27,1),(28,1),(29,1)}
      20:{2,3,5,6}:{(11,1),(16,1),(29,1)}
      21:{1,3,5,6}:{(12,1),(28,1)}
      22:{1,2,3,6}:{(12,1),(13,1),(15,1)}
      23:{3,4,5,6}:{(14,1),(29,1),(31,1)}
      24:{1,2,5,6}:{(14,1),(15,1),(31,1)}
      25:{3,4,5}:{(16,1),(29,1),(33,1)}
      26:{1,2,3,5}:{(16,1),(17,1),(33,1)}
      27:{2,3,5,6}:{(18,1),(19,1),(34,1),(35,1)}
      28:{1,4,5,6}:{(19,1),(21,1),(35,1),(36,1)}
      29:{3,4,6}:{(20,1),(25,1),(36,1)}
      30:{1,2,3,5,6}:{(20,1),(21,1),(22,1),(24,1),(26,1),(35,1),(36,1),(37,1),(44,1)}
      31:{1,4,5,6}:{(23,1),(24,1),(36,1),(37,1)}
      32:{2,3,4,5}:{(25,1),(34,1),(38,1)}
      33:{1,4,5}:{(25,1),(26,1),(36,1)}
      34:{2,3,4,6}:{(27,1),(29,1),(32,1),(40,1)}
      35:{1,2,5,6}:{(27,1),(28,1),(40,1)}
      36:{1,4,6}:{(29,1),(30,1),(33,1)}
      37:{1,3,5,6}:{(31,1),(41,1)}
      38:{1,2,4,5}:{(32,1),(33,1),(40,1),(42,1)}
      39:{1,3,4,5}:{(33,1),(41,1),(42,1)}
      40:{1,2,4,6}:{(34,1),(35,1),(36,1),(38,1),(44,1)}
      41:{1,3,4,6}:{(36,1),(37,1),(39,1),(44,1)}
      42:{1,2,3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{1,2,3,4}:{(42,1)}
      44:{1,2,3,6}:{(40,1),(41,1),(42,1)}

628 :  0:{1,3,4,5,6}:{(2,1),(21,1),(30,1),(33,1),(34,1)}
       1:{2,3,4,5}:{(4,1),(5,1),(30,1)}
       2:{1,2,3,5,6}:{(0,1),(7,1),(23,1)}
       3:{1,2,3,4}:{(10,1)}
       4:{1,2,4,5}:{(1,1),(10,1),(11,1),(25,1)}
       5:{2,3,4,6}:{(1,1),(9,1),(11,1),(37,1)}
       6:{3,4,5,6}:{(9,1),(12,1),(37,1)}
       7:{1,2,4,6}:{(2,1),(13,1),(14,1),(33,1)}
       8:{1,2,3,4,6}:{(3,1),(13,1),(16,1),(19,1),(22,1),(33,1),(35,1)}
       9:{2,3,5,6}:{(5,1),(6,1),(15,1),(17,1)}
      10:{1,2,3,5}:{(3,1),(4,1),(18,1),(19,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(17,1),(19,1),(33,1)}
      12:{1,4,5,6}:{(6,1),(17,1),(21,1),(33,1)}
      13:{2,3,4,6}:{(7,1),(23,1),(37,1)}
      14:{1,2,4,5}:{(7,1),(23,1),(25,1)}
      15:{2,4,5,6}:{(9,1)}
      16:{1,2,3,5}:{(8,1),(23,1),(25,1)}
      17:{1,2,5,6}:{(9,1),(11,1),(12,1)}
      18:{1,3,4,5}:{(10,1),(25,1),(27,1)}
      19:{1,2,3,6}:{(10,1),(11,1),(27,1)}
      20:{1,3,4,5}:{(25,1),(28,1),(29,1)}
      21:{1,3,5,6}:{(12,1),(29,1)}
      22:{1,2,3,4}:{(28,1)}
      23:{2,3,5}:{(13,1),(14,1),(30,1)}
      24:{1,2,4,5,6}:{(14,1),(15,1),(17,1),(31,1),(33,1),(42,1),(44,1)}
      25:{1,4,5}:{(16,1),(30,1),(33,1)}
      26:{1,2,3,5,6}:{(16,1),(17,1),(19,1),(21,1),(31,1),(33,1),(34,1),(35,1),(42,1)}
      27:{1,3,4,6}:{(18,1),(19,1),(33,1),(34,1)}
      28:{1,2,3,5}:{(20,1),(22,1),(32,1),(35,1)}
      29:{1,3,4,6}:{(20,1),(21,1),(33,1),(35,1)}
      30:{3,4,5}:{(23,1),(25,1),(37,1)}
      31:{2,3,5,6}:{(23,1),(24,1),(37,1)}
      32:{1,2,4,5}:{(25,1),(28,1),(36,1),(38,1)}
      33:{1,4,6}:{(25,1),(26,1),(37,1)}
      34:{1,3,5,6}:{(27,1),(39,1)}
      35:{1,2,3,6}:{(28,1),(29,1),(38,1)}
      36:{2,3,4,5}:{(30,1),(32,1),(40,1)}
      37:{3,4,6}:{(30,1),(31,1),(33,1)}
      38:{1,2,4,6}:{(32,1),(33,1),(35,1),(40,1),(42,1)}
      39:{1,4,5,6}:{(33,1),(34,1),(41,1),(42,1)}
      40:{2,3,4,6}:{(36,1),(37,1),(38,1),(43,1)}
      41:{3,4,5,6}:{(37,1),(39,1),(43,1)}
      42:{1,2,5,6}:{(38,1),(39,1),(43,1)}
      43:{2,3,5,6}:{(40,1),(41,1),(42,1),(44,1)}
      44:{2,4,5,6}:{(43,1)}

629 :  0:{2,3,4,5,6}:{(1,1),(15,1)}
       1:{1,2,4,5,6}:{(0,1),(2,1),(12,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(9,1)}
       3:{1,3,4,6}:{(2,1),(6,1)}
       4:{1,2,3,4,5}:{(7,1),(15,1)}
       5:{1,2,3,4,6}:{(3,1),(9,1),(14,1)}
       6:{1,3,4,5}:{(3,1),(9,1)}
       7:{1,2,3,4,6}:{(4,1),(10,1),(18,1)}
       8:{1,3,4,5,6}:{(6,1),(11,1),(17,1)}
       9:{1,2,3,5}:{(5,1),(6,1),(12,1)}
      10:{1,2,3,5,6}:{(7,1),(13,1),(19,1)}
      11:{1,2,3,5,6}:{(8,1),(9,1),(14,1),(19,1)}
      12:{1,2,4,5}:{(9,1),(14,1),(15,1)}
      13:{1,4,5,6}:{(10,1),(17,1)}
      14:{1,2,4,6}:{(11,1),(12,1),(18,1)}
      15:{2,3,4,5}:{(12,1),(18,1)}
      16:{1,2,4,5,6}:{(13,1),(14,1),(19,1)}
      17:{3,4,5,6}:{(13,1),(19,1)}
      18:{2,3,4,6}:{(14,1),(15,1),(19,1)}
      19:{2,3,5,6}:{(16,1),(17,1),(18,1)}

630 :  0:{1,3,4,5,6}:{(1,1),(19,1),(22,1),(37,1),(40,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(12,1)}
       2:{1,2,4,6}:{(1,1),(4,1),(5,1),(37,1)}
       3:{2,3,4,5}:{(9,1),(10,1),(19,1)}
       4:{1,2,4,5}:{(2,1),(12,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(12,1),(27,1)}
       6:{2,4,5,6}:{(14,1)}
       7:{3,4,5,6}:{(14,1),(15,1),(27,1)}
       8:{1,2,3,4}:{(16,1)}
       9:{2,3,4,6}:{(3,1),(14,1),(17,1),(27,1)}
      10:{1,2,4,5}:{(3,1),(16,1),(17,1),(30,1)}
      11:{1,2,4,5,6}:{(4,1),(6,1),(18,1),(21,1),(34,1),(37,1),(44,1)}
      12:{2,3,5}:{(4,1),(5,1),(19,1)}
      13:{1,2,3,4,6}:{(5,1),(8,1),(20,1),(24,1),(26,1),(37,1),(39,1)}
      14:{2,3,5,6}:{(6,1),(7,1),(9,1),(21,1)}
      15:{1,4,5,6}:{(7,1),(21,1),(22,1),(37,1)}
      16:{1,2,3,5}:{(8,1),(10,1),(24,1),(25,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(21,1),(24,1),(37,1)}
      18:{2,3,5,6}:{(11,1),(12,1),(27,1)}
      19:{3,4,5}:{(12,1),(27,1),(30,1)}
      20:{1,2,3,5}:{(12,1),(13,1),(30,1)}
      21:{1,2,5,6}:{(14,1),(15,1),(17,1)}
      22:{1,3,5,6}:{(15,1),(31,1)}
      23:{1,3,4,5}:{(30,1),(31,1),(32,1)}
      24:{1,2,3,6}:{(16,1),(17,1),(33,1)}
      25:{1,3,4,5}:{(16,1),(30,1),(33,1)}
      26:{1,2,3,4}:{(32,1)}
      27:{3,4,6}:{(18,1),(19,1),(37,1)}
      28:{1,2,3,5,6}:{(18,1),(20,1),(21,1),(22,1),(24,1),(37,1),(39,1),(40,1),(44,1)}
      29:{2,3,4,5}:{(19,1),(36,1),(38,1)}
      30:{1,4,5}:{(19,1),(20,1),(37,1)}
      31:{1,3,4,6}:{(22,1),(23,1),(37,1),(39,1)}
      32:{1,2,3,5}:{(23,1),(26,1),(38,1),(39,1)}
      33:{1,3,4,6}:{(24,1),(25,1),(37,1),(40,1)}
      34:{2,4,5,6}:{(41,1)}
      35:{3,4,5,6}:{(27,1),(41,1),(42,1)}
      36:{2,3,4,6}:{(27,1),(29,1),(41,1),(43,1)}
      37:{1,4,6}:{(27,1),(28,1),(30,1)}
      38:{1,2,4,5}:{(29,1),(30,1),(32,1),(43,1)}
      39:{1,2,3,6}:{(31,1),(32,1),(43,1)}
      40:{1,3,5,6}:{(33,1),(42,1)}
      41:{2,3,5,6}:{(34,1),(35,1),(36,1),(44,1)}
      42:{1,4,5,6}:{(35,1),(37,1),(40,1),(44,1)}
      43:{1,2,4,6}:{(36,1),(37,1),(38,1),(39,1),(44,1)}
      44:{1,2,5,6}:{(41,1),(42,1),(43,1)}

631 :  0:{1,3,4,5,6}:{(1,1),(21,1),(25,1),(36,1),(37,1)}
       1:{1,2,3,5,6}:{(0,1),(3,1),(16,1)}
       2:{2,3,4,5}:{(6,1),(7,1),(25,1)}
       3:{1,2,4,6}:{(1,1),(8,1),(9,1),(36,1)}
       4:{1,3,4,5}:{(12,1),(13,1),(33,1)}
       5:{2,4,5,6}:{(14,1)}
       6:{2,3,4,6}:{(2,1),(14,1),(15,1),(29,1)}
       7:{1,2,4,5}:{(2,1),(13,1),(15,1),(33,1)}
       8:{1,2,4,5}:{(3,1),(16,1),(33,1)}
       9:{2,3,4,6}:{(3,1),(16,1),(29,1)}
      10:{1,2,3,4}:{(13,1)}
      11:{1,2,4,5,6}:{(5,1),(8,1),(18,1),(20,1),(24,1),(35,1),(36,1)}
      12:{1,3,4,6}:{(4,1),(21,1),(22,1),(36,1)}
      13:{1,2,3,5}:{(4,1),(7,1),(10,1),(22,1)}
      14:{2,3,5,6}:{(5,1),(6,1),(23,1),(24,1)}
      15:{1,2,4,6}:{(6,1),(7,1),(22,1),(24,1),(36,1)}
      16:{2,3,5}:{(8,1),(9,1),(25,1)}
      17:{1,2,3,4,6}:{(9,1),(10,1),(22,1),(26,1),(36,1),(40,1),(44,1)}
      18:{2,4,5,6}:{(27,1)}
      19:{3,4,5,6}:{(27,1),(28,1),(29,1)}
      20:{2,3,5,6}:{(11,1),(16,1),(29,1)}
      21:{1,3,5,6}:{(12,1),(28,1)}
      22:{1,2,3,6}:{(12,1),(13,1),(15,1)}
      23:{3,4,5,6}:{(14,1),(29,1),(31,1)}
      24:{1,2,5,6}:{(14,1),(15,1),(31,1)}
      25:{3,4,5}:{(16,1),(29,1),(33,1)}
      26:{1,2,3,5}:{(16,1),(17,1),(33,1)}
      27:{2,3,5,6}:{(18,1),(19,1),(34,1),(35,1)}
      28:{1,4,5,6}:{(19,1),(21,1),(35,1),(36,1)}
      29:{3,4,6}:{(20,1),(25,1),(36,1)}
      30:{1,2,3,5,6}:{(20,1),(21,1),(22,1),(24,1),(26,1),(35,1),(36,1),(37,1),(44,1)}
      31:{1,4,5,6}:{(23,1),(24,1),(36,1),(37,1)}
      32:{2,3,4,5}:{(25,1),(34,1),(38,1)}
      33:{1,4,5}:{(25,1),(26,1),(36,1)}
      34:{2,3,4,6}:{(27,1),(29,1),(32,1),(41,1)}
      35:{1,2,5,6}:{(27,1),(28,1),(41,1)}
      36:{1,4,6}:{(29,1),(30,1),(33,1)}
      37:{1,3,5,6}:{(31,1),(42,1)}
      38:{1,2,4,5}:{(32,1),(33,1),(41,1),(43,1)}
      39:{1,3,4,5}:{(33,1),(42,1),(43,1)}
      40:{1,2,3,4}:{(43,1)}
      41:{1,2,4,6}:{(34,1),(35,1),(36,1),(38,1),(44,1)}
      42:{1,3,4,6}:{(36,1),(37,1),(39,1),(44,1)}
      43:{1,2,3,5}:{(38,1),(39,1),(40,1),(44,1)}
      44:{1,2,3,6}:{(41,1),(42,1),(43,1)}

632 :  0:{1,2,3,4,5}:{(1,1),(13,1)}
       1:{1,2,3,4,6}:{(0,1),(2,1),(10,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(7,1)}
       3:{1,4,5,6}:{(2,1),(5,1)}
       4:{1,2,4,5,6}:{(3,1),(7,1),(14,1)}
       5:{3,4,5,6}:{(3,1),(7,1)}
       6:{2,3,4,5,6}:{(9,1),(13,1)}
       7:{2,3,5,6}:{(4,1),(5,1),(10,1)}
       8:{1,3,4,5,6}:{(5,1),(11,1),(18,1)}
       9:{1,2,4,5,6}:{(6,1),(12,1),(16,1)}
      10:{2,3,4,6}:{(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(8,1),(14,1),(19,1)}
      12:{1,2,3,5,6}:{(9,1),(15,1),(19,1)}
      13:{2,3,4,5}:{(10,1),(16,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(16,1)}
      15:{1,3,4,6}:{(12,1),(18,1)}
      16:{1,2,4,5}:{(13,1),(14,1),(19,1)}
      17:{1,2,3,4,6}:{(14,1),(15,1),(19,1)}
      18:{1,3,4,5}:{(15,1),(19,1)}
      19:{1,2,3,5}:{(16,1),(17,1),(18,1)}

633 :  0:{2,3,4,5,6}:{(1,1),(13,1)}
       1:{1,2,4,5,6}:{(0,1),(2,1),(10,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(7,1)}
       3:{1,3,4,6}:{(2,1),(5,1)}
       4:{1,2,3,4,6}:{(3,1),(7,1),(12,1)}
       5:{1,3,4,5}:{(3,1),(7,1)}
       6:{1,3,4,5,6}:{(5,1),(9,1),(19,1)}
       7:{1,2,3,5}:{(4,1),(5,1),(10,1)}
       8:{1,2,3,4,5}:{(11,1),(13,1)}
       9:{1,2,3,5,6}:{(6,1),(7,1),(12,1),(18,1)}
      10:{1,2,4,5}:{(7,1),(12,1),(13,1)}
      11:{1,2,3,4,6}:{(8,1),(14,1),(16,1)}
      12:{1,2,4,6}:{(9,1),(10,1),(16,1)}
      13:{2,3,4,5}:{(10,1),(16,1)}
      14:{1,2,3,5,6}:{(11,1),(17,1),(18,1)}
      15:{1,2,4,5,6}:{(12,1),(17,1),(18,1)}
      16:{2,3,4,6}:{(12,1),(13,1),(18,1)}
      17:{1,4,5,6}:{(14,1),(19,1)}
      18:{2,3,5,6}:{(15,1),(16,1),(19,1)}
      19:{3,4,5,6}:{(17,1),(18,1)}

634 :  0:{1,3,4,5,6}:{(1,1),(22,1),(26,1),(39,1),(44,1)}
       1:{1,2,3,5,6}:{(0,1),(2,1),(15,1)}
       2:{1,2,4,6}:{(1,1),(6,1),(7,1),(39,1)}
       3:{1,3,4,5}:{(11,1),(12,1),(35,1)}
       4:{2,4,5,6}:{(13,1)}
       5:{3,4,5,6}:{(13,1),(14,1),(32,1)}
       6:{1,2,4,5}:{(2,1),(15,1),(35,1)}
       7:{2,3,4,6}:{(2,1),(15,1),(32,1)}
       8:{1,2,3,4}:{(12,1)}
       9:{2,3,4,5}:{(19,1),(20,1),(26,1)}
      10:{1,2,4,5,6}:{(4,1),(6,1),(18,1),(21,1),(25,1),(38,1),(39,1)}
      11:{1,3,4,6}:{(3,1),(22,1),(23,1),(39,1)}
      12:{1,2,3,5}:{(3,1),(8,1),(20,1),(23,1)}
      13:{2,3,5,6}:{(4,1),(5,1),(24,1),(25,1)}
      14:{1,4,5,6}:{(5,1),(22,1),(25,1),(39,1)}
      15:{2,3,5}:{(6,1),(7,1),(26,1)}
      16:{1,2,3,4,6}:{(7,1),(8,1),(23,1),(27,1),(29,1),(39,1),(40,1)}
      17:{2,3,4,5}:{(24,1),(26,1),(28,1)}
      18:{2,4,5,6}:{(30,1)}
      19:{2,3,4,6}:{(9,1),(30,1),(31,1),(32,1)}
      20:{1,2,4,5}:{(9,1),(12,1),(31,1),(35,1)}
      21:{2,3,5,6}:{(10,1),(15,1),(32,1)}
      22:{1,3,5,6}:{(11,1),(14,1)}
      23:{1,2,3,6}:{(11,1),(12,1),(31,1)}
      24:{2,3,4,6}:{(13,1),(17,1),(32,1),(34,1)}
      25:{1,2,5,6}:{(13,1),(14,1),(34,1)}
      26:{3,4,5}:{(15,1),(32,1),(35,1)}
      27:{1,2,3,5}:{(15,1),(16,1),(35,1)}
      28:{1,2,4,5}:{(17,1),(34,1),(35,1),(36,1)}
      29:{1,2,3,4}:{(36,1)}
      30:{2,3,5,6}:{(18,1),(19,1),(37,1),(38,1)}
      31:{1,2,4,6}:{(19,1),(20,1),(23,1),(38,1),(39,1)}
      32:{3,4,6}:{(21,1),(26,1),(39,1)}
      33:{1,2,3,5,6}:{(21,1),(22,1),(23,1),(25,1),(27,1),(38,1),(39,1),(40,1),(44,1)}
      34:{1,2,4,6}:{(24,1),(25,1),(28,1),(39,1),(40,1)}
      35:{1,4,5}:{(26,1),(27,1),(39,1)}
      36:{1,2,3,5}:{(28,1),(29,1),(40,1),(41,1)}
      37:{3,4,5,6}:{(30,1),(32,1),(42,1)}
      38:{1,2,5,6}:{(30,1),(31,1),(42,1)}
      39:{1,4,6}:{(32,1),(33,1),(35,1)}
      40:{1,2,3,6}:{(34,1),(36,1),(43,1)}
      41:{1,3,4,5}:{(35,1),(36,1),(43,1)}
      42:{1,4,5,6}:{(37,1),(38,1),(39,1),(44,1)}
      43:{1,3,4,6}:{(39,1),(40,1),(41,1),(44,1)}
      44:{1,3,5,6}:{(42,1),(43,1)}

635 :  0:{1,3,4,5,6}:{(2,1),(19,1),(32,1),(34,1),(35,1)}
       1:{2,3,4,5}:{(5,1),(6,1),(32,1)}
       2:{1,2,3,5,6}:{(0,1),(7,1),(25,1)}
       3:{1,3,4,5}:{(9,1),(10,1),(38,1)}
       4:{2,4,5,6}:{(11,1)}
       5:{2,3,4,6}:{(1,1),(11,1),(12,1),(27,1)}
       6:{1,2,4,5}:{(1,1),(10,1),(12,1),(38,1)}
       7:{1,2,4,6}:{(2,1),(15,1),(16,1),(34,1)}
       8:{1,2,4,5,6}:{(4,1),(13,1),(15,1),(18,1),(22,1),(31,1),(34,1)}
       9:{1,3,4,6}:{(3,1),(19,1),(20,1),(34,1)}
      10:{1,2,3,5}:{(3,1),(6,1),(17,1),(20,1)}
      11:{2,3,5,6}:{(4,1),(5,1),(21,1),(22,1)}
      12:{1,2,4,6}:{(5,1),(6,1),(20,1),(22,1),(34,1)}
      13:{2,4,5,6}:{(23,1)}
      14:{3,4,5,6}:{(23,1),(24,1),(27,1)}
      15:{1,2,4,5}:{(7,1),(25,1),(38,1)}
      16:{2,3,4,6}:{(7,1),(25,1),(27,1)}
      17:{1,2,3,4}:{(10,1)}
      18:{2,3,5,6}:{(8,1),(25,1),(27,1)}
      19:{1,3,5,6}:{(9,1),(24,1)}
      20:{1,2,3,6}:{(9,1),(10,1),(12,1)}
      21:{3,4,5,6}:{(11,1),(27,1),(29,1)}
      22:{1,2,5,6}:{(11,1),(12,1),(29,1)}
      23:{2,3,5,6}:{(13,1),(14,1),(30,1),(31,1)}
      24:{1,4,5,6}:{(14,1),(19,1),(31,1),(34,1)}
      25:{2,3,5}:{(15,1),(16,1),(32,1)}
      26:{1,2,3,4,6}:{(16,1),(17,1),(20,1),(33,1),(34,1),(41,1),(44,1)}
      27:{3,4,6}:{(18,1),(32,1),(34,1)}
      28:{1,2,3,5,6}:{(18,1),(19,1),(20,1),(22,1),(31,1),(33,1),(34,1),(35,1),(41,1)}
      29:{1,4,5,6}:{(21,1),(22,1),(34,1),(35,1)}
      30:{2,3,4,6}:{(23,1),(27,1),(36,1),(37,1)}
      31:{1,2,5,6}:{(23,1),(24,1),(37,1)}
      32:{3,4,5}:{(25,1),(27,1),(38,1)}
      33:{1,2,3,5}:{(25,1),(26,1),(38,1)}
      34:{1,4,6}:{(27,1),(28,1),(38,1)}
      35:{1,3,5,6}:{(29,1),(39,1)}
      36:{2,3,4,5}:{(30,1),(32,1),(40,1)}
      37:{1,2,4,6}:{(30,1),(31,1),(34,1),(40,1),(41,1)}
      38:{1,4,5}:{(32,1),(33,1),(34,1)}
      39:{1,3,4,6}:{(34,1),(35,1),(41,1),(42,1)}
      40:{1,2,4,5}:{(36,1),(37,1),(38,1),(43,1)}
      41:{1,2,3,6}:{(37,1),(39,1),(43,1)}
      42:{1,3,4,5}:{(38,1),(39,1),(43,1)}
      43:{1,2,3,5}:{(40,1),(41,1),(42,1),(44,1)}
      44:{1,2,3,4}:{(43,1)}

636 :  0:{1,2,3,4,5}:{(1,1),(11,1)}
       1:{1,2,3,4,6}:{(0,1),(2,1),(8,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(6,1)}
       3:{1,4,5,6}:{(2,1),(5,1)}
       4:{1,2,4,5,6}:{(3,1),(6,1),(12,1)}
       5:{3,4,5,6}:{(3,1),(6,1)}
       6:{2,3,5,6}:{(4,1),(5,1),(8,1)}
       7:{1,3,4,5,6}:{(5,1),(9,1),(19,1)}
       8:{2,3,4,6}:{(6,1),(11,1),(12,1)}
       9:{1,2,3,5,6}:{(6,1),(7,1),(12,1),(17,1)}
      10:{2,3,4,5,6}:{(11,1),(13,1)}
      11:{2,3,4,5}:{(8,1),(14,1)}
      12:{1,2,4,6}:{(8,1),(9,1),(14,1)}
      13:{1,2,4,5,6}:{(10,1),(14,1),(16,1)}
      14:{1,2,4,5}:{(11,1),(12,1),(17,1)}
      15:{1,2,3,4,6}:{(12,1),(17,1),(18,1)}
      16:{1,2,3,5,6}:{(13,1),(17,1),(18,1)}
      17:{1,2,3,5}:{(14,1),(15,1),(19,1)}
      18:{1,3,4,6}:{(16,1),(19,1)}
      19:{1,3,4,5}:{(17,1),(18,1)}

637 :  0:{2,3,4,5,6}:{(1,1),(15,1)}
       1:{1,2,4,5,6}:{(0,1),(2,1),(12,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(9,1)}
       3:{1,3,4,6}:{(2,1),(6,1)}
       4:{1,2,3,4,5}:{(8,1),(15,1)}
       5:{1,2,3,4,6}:{(3,1),(9,1),(13,1)}
       6:{1,3,4,5}:{(3,1),(9,1)}
       7:{1,3,4,5,6}:{(6,1),(10,1),(18,1)}
       8:{1,2,3,4,6}:{(4,1),(11,1),(17,1)}
       9:{1,2,3,5}:{(5,1),(6,1),(12,1)}
      10:{1,2,3,5,6}:{(7,1),(9,1),(13,1),(19,1)}
      11:{1,2,3,5,6}:{(8,1),(14,1),(19,1)}
      12:{1,2,4,5}:{(9,1),(13,1),(15,1)}
      13:{1,2,4,6}:{(10,1),(12,1),(17,1)}
      14:{1,4,5,6}:{(11,1),(18,1)}
      15:{2,3,4,5}:{(12,1),(17,1)}
      16:{1,2,4,5,6}:{(13,1),(14,1),(19,1)}
      17:{2,3,4,6}:{(13,1),(15,1),(19,1)}
      18:{3,4,5,6}:{(14,1),(19,1)}
      19:{2,3,5,6}:{(16,1),(17,1),(18,1)}

638 :  0:{1,2,3,4,5}:{(2,1),(14,1)}
       1:{2,3,4,5,6}:{(3,1),(14,1)}
       2:{1,2,3,4,6}:{(0,1),(4,1),(16,1)}
       3:{1,2,4,5,6}:{(1,1),(5,1),(18,1)}
       4:{1,2,3,5,6}:{(2,1),(6,1),(12,1)}
       5:{1,2,3,5,6}:{(3,1),(7,1),(15,1)}
       6:{1,4,5,6}:{(4,1),(9,1)}
       7:{1,3,4,6}:{(5,1),(10,1)}
       8:{1,2,4,5,6}:{(6,1),(12,1),(19,1)}
       9:{3,4,5,6}:{(6,1),(12,1)}
      10:{1,3,4,5}:{(7,1),(15,1)}
      11:{1,2,3,4,6}:{(7,1),(15,1),(19,1)}
      12:{2,3,5,6}:{(8,1),(9,1),(16,1)}
      13:{1,3,4,5,6}:{(9,1),(10,1),(17,1)}
      14:{2,3,4,5}:{(16,1),(18,1)}
      15:{1,2,3,5}:{(10,1),(11,1),(18,1)}
      16:{2,3,4,6}:{(12,1),(14,1),(19,1)}
      17:{1,2,3,5,6}:{(12,1),(13,1),(15,1),(19,1)}
      18:{1,2,4,5}:{(14,1),(15,1),(19,1)}
      19:{1,2,4,6}:{(16,1),(17,1),(18,1)}

639 :  0:{1,2,3,4,5}:{(1,1),(13,1)}
       1:{1,2,3,4,6}:{(0,1),(2,1),(10,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1),(7,1)}
       3:{1,4,5,6}:{(2,1),(5,1)}
       4:{1,2,4,5,6}:{(3,1),(7,1),(14,1)}
       5:{3,4,5,6}:{(3,1),(7,1)}
       6:{2,3,4,5,6}:{(9,1),(13,1)}
       7:{2,3,5,6}:{(4,1),(5,1),(10,1)}
       8:{1,3,4,5,6}:{(5,1),(11,1),(18,1)}
       9:{1,2,4,5,6}:{(6,1),(12,1),(16,1)}
      10:{2,3,4,6}:{(7,1),(13,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(8,1),(14,1),(19,1)}
      12:{1,2,3,5,6}:{(9,1),(15,1),(19,1)}
      13:{2,3,4,5}:{(10,1),(16,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(16,1)}
      15:{1,3,4,6}:{(12,1),(18,1)}
      16:{1,2,4,5}:{(13,1),(14,1),(19,1)}
      17:{1,2,3,4,6}:{(14,1),(15,1),(19,1)}
      18:{1,3,4,5}:{(15,1),(19,1)}
      19:{1,2,3,5}:{(16,1),(17,1),(18,1)}

640 :  0:{1,2,3,4,5}:{(2,1),(14,1)}
       1:{2,3,4,5,6}:{(3,1),(14,1)}
       2:{1,2,3,4,6}:{(0,1),(4,1),(16,1)}
       3:{1,2,4,5,6}:{(1,1),(5,1),(18,1)}
       4:{1,2,3,5,6}:{(2,1),(6,1),(12,1)}
       5:{1,2,3,5,6}:{(3,1),(7,1),(15,1)}
       6:{1,4,5,6}:{(4,1),(9,1)}
       7:{1,3,4,6}:{(5,1),(10,1)}
       8:{1,2,4,5,6}:{(6,1),(12,1),(19,1)}
       9:{3,4,5,6}:{(6,1),(12,1)}
      10:{1,3,4,5}:{(7,1),(15,1)}
      11:{1,2,3,4,6}:{(7,1),(15,1),(19,1)}
      12:{2,3,5,6}:{(8,1),(9,1),(16,1)}
      13:{1,3,4,5,6}:{(9,1),(10,1),(17,1)}
      14:{2,3,4,5}:{(16,1),(18,1)}
      15:{1,2,3,5}:{(10,1),(11,1),(18,1)}
      16:{2,3,4,6}:{(12,1),(14,1),(19,1)}
      17:{1,2,3,5,6}:{(12,1),(13,1),(15,1),(19,1)}
      18:{1,2,4,5}:{(14,1),(15,1),(19,1)}
      19:{1,2,4,6}:{(16,1),(17,1),(18,1)}

641 :  0:{2,3,4,5,6}:{(1,1),(18,1)}
       1:{1,2,4,5,6}:{(0,1),(3,1),(15,1)}
       2:{1,2,3,4,5}:{(4,1),(18,1)}
       3:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
       4:{1,2,3,4,6}:{(2,1),(6,1),(19,1)}
       5:{1,3,4,6}:{(3,1),(8,1)}
       6:{1,2,3,5,6}:{(4,1),(10,1),(17,1)}
       7:{1,2,3,4,6}:{(5,1),(11,1),(16,1)}
       8:{1,3,4,5}:{(5,1),(11,1)}
       9:{1,3,4,5,6}:{(8,1),(12,1),(14,1)}
      10:{1,4,5,6}:{(6,1),(14,1)}
      11:{1,2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,2,3,5,6}:{(9,1),(11,1),(16,1),(17,1)}
      13:{1,2,4,5,6}:{(10,1),(16,1),(17,1)}
      14:{3,4,5,6}:{(10,1),(17,1)}
      15:{1,2,4,5}:{(11,1),(16,1),(18,1)}
      16:{1,2,4,6}:{(12,1),(15,1),(19,1)}
      17:{2,3,5,6}:{(13,1),(14,1),(19,1)}
      18:{2,3,4,5}:{(15,1),(19,1)}
      19:{2,3,4,6}:{(16,1),(17,1),(18,1)}

642 :  0:{1,2,3,4,5}:{(1,1),(16,1)}
       1:{1,2,3,4,6}:{(0,1),(3,1),(14,1)}
       2:{2,3,4,5,6}:{(4,1),(16,1)}
       3:{1,2,3,5,6}:{(1,1),(5,1),(10,1)}
       4:{1,2,4,5,6}:{(2,1),(6,1),(19,1)}
       5:{1,4,5,6}:{(3,1),(8,1)}
       6:{1,2,3,5,6}:{(4,1),(9,1),(17,1)}
       7:{1,2,4,5,6}:{(5,1),(10,1),(18,1)}
       8:{3,4,5,6}:{(5,1),(10,1)}
       9:{1,3,4,6}:{(6,1),(12,1)}
      10:{2,3,5,6}:{(7,1),(8,1),(14,1)}
      11:{1,3,4,5,6}:{(8,1),(12,1),(15,1)}
      12:{1,3,4,5}:{(9,1),(17,1)}
      13:{1,2,3,4,6}:{(9,1),(17,1),(18,1)}
      14:{2,3,4,6}:{(10,1),(16,1),(18,1)}
      15:{1,2,3,5,6}:{(10,1),(11,1),(17,1),(18,1)}
      16:{2,3,4,5}:{(14,1),(19,1)}
      17:{1,2,3,5}:{(12,1),(13,1),(19,1)}
      18:{1,2,4,6}:{(14,1),(15,1),(19,1)}
      19:{1,2,4,5}:{(16,1),(17,1),(18,1)}

643 :  0:{1,2,3,4,5}:{(2,1),(14,1)}
       1:{2,3,4,5,6}:{(3,1),(14,1)}
       2:{1,2,3,4,6}:{(0,1),(4,1),(16,1)}
       3:{1,2,4,5,6}:{(1,1),(5,1),(18,1)}
       4:{1,2,3,5,6}:{(2,1),(6,1),(12,1)}
       5:{1,2,3,5,6}:{(3,1),(7,1),(15,1)}
       6:{1,4,5,6}:{(4,1),(9,1)}
       7:{1,3,4,6}:{(5,1),(10,1)}
       8:{1,2,4,5,6}:{(6,1),(12,1),(19,1)}
       9:{3,4,5,6}:{(6,1),(12,1)}
      10:{1,3,4,5}:{(7,1),(15,1)}
      11:{1,2,3,4,6}:{(7,1),(15,1),(19,1)}
      12:{2,3,5,6}:{(8,1),(9,1),(16,1)}
      13:{1,3,4,5,6}:{(9,1),(10,1),(17,1)}
      14:{2,3,4,5}:{(16,1),(18,1)}
      15:{1,2,3,5}:{(10,1),(11,1),(18,1)}
      16:{2,3,4,6}:{(12,1),(14,1),(19,1)}
      17:{1,2,3,5,6}:{(12,1),(13,1),(15,1),(19,1)}
      18:{1,2,4,5}:{(14,1),(15,1),(19,1)}
      19:{1,2,4,6}:{(16,1),(17,1),(18,1)}

644 :  0:{2,3,4,5,6}:{(2,1),(19,1)}
       1:{1,2,3,4,5}:{(3,1),(19,1)}
       2:{1,2,4,5,6}:{(0,1),(4,1),(17,1)}
       3:{1,2,3,4,6}:{(1,1),(5,1),(18,1)}
       4:{1,2,3,5,6}:{(2,1),(6,1),(14,1)}
       5:{1,2,3,5,6}:{(3,1),(8,1),(16,1)}
       6:{1,3,4,6}:{(4,1),(10,1)}
       7:{1,3,4,5,6}:{(10,1),(11,1),(13,1)}
       8:{1,4,5,6}:{(5,1),(13,1)}
       9:{1,2,3,4,6}:{(6,1),(14,1),(15,1)}
      10:{1,3,4,5}:{(6,1),(14,1)}
      11:{1,2,3,5,6}:{(7,1),(14,1),(15,1),(16,1)}
      12:{1,2,4,5,6}:{(8,1),(15,1),(16,1)}
      13:{3,4,5,6}:{(8,1),(16,1)}
      14:{1,2,3,5}:{(9,1),(10,1),(17,1)}
      15:{1,2,4,6}:{(11,1),(17,1),(18,1)}
      16:{2,3,5,6}:{(12,1),(13,1),(18,1)}
      17:{1,2,4,5}:{(14,1),(15,1),(19,1)}
      18:{2,3,4,6}:{(15,1),(16,1),(19,1)}
      19:{2,3,4,5}:{(17,1),(18,1)}

645 : 0:{1,2,3,4,5}:{(1,1)}
      1:{1,2,3,4,6}:{(0,1),(3,1)}
      2:{1,3,4,5,6}:{(3,1)}
      3:{1,2,3,5,6}:{(1,1),(2,1),(4,1)}
      4:{1,2,4,5,6}:{(3,1),(5,1)}
      5:{2,3,4,5,6}:{(4,1)}

646 : 0:{2,3,4,5,6}:{(1,1)}
      1:{1,2,4,5,6}:{(0,1),(3,1)}
      2:{1,3,4,5,6}:{(3,1)}
      3:{1,2,3,5,6}:{(1,1),(2,1),(4,1)}
      4:{1,2,3,4,6}:{(3,1),(5,1)}
      5:{1,2,3,4,5}:{(4,1)}

647 : 0:{1,2,3,4,5}:{(2,1)}
      1:{1,3,4,5,6}:{(4,1)}
      2:{1,2,3,4,6}:{(0,1),(4,1)}
      3:{2,3,4,5,6}:{(5,1)}
      4:{1,2,3,5,6}:{(1,1),(2,1),(5,1)}
      5:{1,2,4,5,6}:{(3,1),(4,1)}

648 : 0:{2,3,4,5,6}:{(1,1)}
      1:{1,2,4,5,6}:{(0,1),(3,1)}
      2:{1,3,4,5,6}:{(3,1)}
      3:{1,2,3,5,6}:{(1,1),(2,1),(5,1)}
      4:{1,2,3,4,5}:{(5,1)}
      5:{1,2,3,4,6}:{(3,1),(4,1)}

649 : 0:{2,3,4,5,6}:{(2,1)}
      1:{1,2,3,4,5}:{(3,1)}
      2:{1,2,4,5,6}:{(0,1),(4,1)}
      3:{1,2,3,4,6}:{(1,1),(4,1)}
      4:{1,2,3,5,6}:{(2,1),(3,1),(5,1)}
      5:{1,3,4,5,6}:{(4,1)}

650 : 0:{2,3,4,5,6}:{(2,1)}
      1:{1,2,3,4,5}:{(3,1)}
      2:{1,2,4,5,6}:{(0,1),(5,1)}
      3:{1,2,3,4,6}:{(1,1),(5,1)}
      4:{1,3,4,5,6}:{(5,1)}
      5:{1,2,3,5,6}:{(2,1),(3,1),(4,1)}

651 : 0:{1,2,3,4,5,6}:{}