0 : 0:{}:{}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

 20 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(10,1)}
       1:{2,4,6}:{(0,1),(4,1),(5,1),(6,1),(11,1),(12,1)}
       2:{1,3,6}:{(0,1),(4,1),(6,1),(7,1)}
       3:{1,5}:{(0,1),(5,1)}
       4:{3,6}:{(1,1),(8,1),(13,1)}
       5:{2,5}:{(1,1),(3,1),(8,1)}
       6:{2,6}:{(2,1),(9,1)}
       7:{1,3,5}:{(2,1),(3,1),(8,1),(9,1),(10,1),(13,1)}
       8:{3,5}:{(4,1),(5,1),(11,1)}
       9:{2,5}:{(6,1),(7,1),(12,1)}
      10:{1,4}:{(7,1),(11,1),(12,1)}
      11:{4}:{(8,1)}
      12:{2,4}:{(9,1),(10,1),(13,1)}
      13:{3}:{(12,1)}

 21 :  0:{1,3}:{(1,1),(2,1),(5,1)}
       1:{2}:{(0,1)}
       2:{1,4}:{(0,1),(3,1),(4,1)}
       3:{2,4}:{(1,1),(2,1),(5,1),(6,1),(10,1)}
       4:{1,5}:{(2,1),(6,1),(7,1)}
       5:{3}:{(3,1)}
       6:{2,5}:{(3,1),(4,1),(8,1),(9,1)}
       7:{1,6}:{(4,1),(9,1)}
       8:{3,5}:{(5,1),(6,1),(10,1),(11,1),(13,1)}
       9:{2,6}:{(6,1),(7,1),(11,1)}
      10:{4}:{(8,1)}
      11:{3,6}:{(8,1),(9,1),(12,1)}
      12:{4,6}:{(10,1),(11,1),(13,1)}
      13:{5}:{(12,1)}

 22 :  0:{2,3}:{(1,1),(2,1)}
       1:{1,3}:{(0,1),(3,1),(4,1)}
       2:{2,4}:{(0,1),(4,1),(5,1),(6,1)}
       3:{1,2}:{(1,1)}
       4:{1,4}:{(1,1),(2,1),(7,1)}
       5:{3,4}:{(2,1),(8,1)}
       6:{2,5}:{(2,1),(7,1),(8,1),(9,1)}
       7:{1,5}:{(4,1),(6,1),(10,1)}
       8:{3,5}:{(5,1),(6,1),(11,1),(12,1)}
       9:{2,6}:{(6,1),(10,1),(12,1)}
      10:{1,6}:{(7,1),(9,1)}
      11:{4,5}:{(8,1),(13,1)}
      12:{3,6}:{(8,1),(9,1),(13,1)}
      13:{4,6}:{(11,1),(12,1),(14,1)}
      14:{5,6}:{(13,1)}

 23 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(7,1),(9,1),(12,1)}
       1:{1,4,6}:{(0,1),(4,1),(5,1),(11,1)}
       2:{3,6}:{(0,1),(6,1),(13,1)}
       3:{2,5}:{(0,1),(5,1),(6,1)}
       4:{1,3,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{1,5}:{(1,1),(3,1)}
       6:{3,5}:{(2,1),(3,1),(9,1)}
       7:{2,6}:{(4,1),(10,1)}
       8:{1,3,5}:{(4,1),(5,1),(6,1),(10,1),(11,1),(13,1)}
       9:{4}:{(6,1)}
      10:{2,5}:{(7,1),(8,1),(12,1)}
      11:{1,4}:{(8,1),(9,1),(12,1)}
      12:{2,4}:{(10,1),(11,1),(13,1)}
      13:{3}:{(12,1)}

 24 :  0:{2,4}:{(1,1),(2,1),(3,1),(8,1),(10,1)}
       1:{1,4}:{(0,1),(4,1),(5,1)}
       2:{3}:{(0,1)}
       3:{2,5}:{(0,1),(5,1),(6,1),(7,1)}
       4:{1,3}:{(1,1),(2,1),(8,1)}
       5:{1,5}:{(1,1),(3,1),(9,1)}
       6:{3,5}:{(2,1),(3,1),(10,1),(11,1),(13,1)}
       7:{2,6}:{(3,1),(9,1),(11,1)}
       8:{2}:{(4,1)}
       9:{1,6}:{(5,1),(7,1)}
      10:{4}:{(6,1)}
      11:{3,6}:{(6,1),(7,1),(12,1)}
      12:{4,6}:{(10,1),(11,1),(13,1)}
      13:{5}:{(12,1)}

 25 :  0:{3,4}:{(1,1),(2,1)}
       1:{2,4}:{(0,1),(3,1),(4,1),(5,1)}
       2:{3,5}:{(0,1),(5,1),(6,1),(7,1)}
       3:{2,3}:{(1,1),(8,1)}
       4:{1,4}:{(1,1),(8,1),(9,1)}
       5:{2,5}:{(1,1),(2,1),(9,1),(10,1)}
       6:{4,5}:{(2,1),(11,1)}
       7:{3,6}:{(2,1),(10,1),(11,1)}
       8:{1,3}:{(3,1),(4,1),(12,1)}
       9:{1,5}:{(4,1),(5,1),(13,1)}
      10:{2,6}:{(5,1),(7,1),(13,1)}
      11:{4,6}:{(6,1),(7,1),(14,1)}
      12:{1,2}:{(8,1)}
      13:{1,6}:{(9,1),(10,1)}
      14:{5,6}:{(11,1)}

 26 :  0:{3,5}:{(1,1),(2,1),(3,1),(10,1),(11,1)}
       1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
       2:{4}:{(0,1)}
       3:{3,6}:{(0,1),(6,1),(7,1)}
       4:{1,5}:{(1,1),(8,1),(9,1)}
       5:{2,4}:{(1,1),(2,1),(8,1),(10,1),(13,1)}
       6:{2,6}:{(1,1),(3,1),(9,1)}
       7:{4,6}:{(2,1),(3,1),(11,1)}
       8:{1,4}:{(4,1),(5,1),(12,1)}
       9:{1,6}:{(4,1),(6,1)}
      10:{3}:{(5,1)}
      11:{5}:{(7,1)}
      12:{1,3}:{(8,1),(10,1),(13,1)}
      13:{2}:{(12,1)}

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

 28 :  0:{4,6}:{(1,1),(2,1),(7,1)}
       1:{3,6}:{(0,1),(3,1),(4,1)}
       2:{5}:{(0,1)}
       3:{2,6}:{(1,1),(5,1),(6,1)}
       4:{3,5}:{(1,1),(2,1),(6,1),(7,1),(11,1)}
       5:{1,6}:{(3,1),(8,1)}
       6:{2,5}:{(3,1),(4,1),(8,1),(9,1)}
       7:{4}:{(4,1)}
       8:{1,5}:{(5,1),(6,1),(10,1)}
       9:{2,4}:{(6,1),(7,1),(10,1),(11,1),(13,1)}
      10:{1,4}:{(8,1),(9,1),(12,1)}
      11:{3}:{(9,1)}
      12:{1,3}:{(10,1),(11,1),(13,1)}
      13:{2}:{(12,1)}

 29 :  0:{5,6}:{(1,1)}
       1:{4,6}:{(0,1),(2,1),(3,1)}
       2:{4,5}:{(1,1),(4,1)}
       3:{3,6}:{(1,1),(4,1),(5,1)}
       4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
       5:{2,6}:{(3,1),(7,1),(8,1)}
       6:{3,4}:{(4,1),(9,1)}
       7:{2,5}:{(4,1),(5,1),(9,1),(10,1)}
       8:{1,6}:{(5,1),(10,1)}
       9:{2,4}:{(6,1),(7,1),(11,1),(12,1)}
      10:{1,5}:{(7,1),(8,1),(12,1)}
      11:{2,3}:{(9,1),(13,1)}
      12:{1,4}:{(9,1),(10,1),(13,1)}
      13:{1,3}:{(11,1),(12,1),(14,1)}
      14:{1,2}:{(13,1)}

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

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

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

 33 :  0:{2,3}:{(2,1),(3,1)}
       1:{1,2}:{(2,1)}
       2:{1,3}:{(0,1),(1,1),(4,1)}
       3:{2,4}:{(0,1),(4,1),(5,1),(6,1)}
       4:{1,4}:{(2,1),(3,1),(7,1)}
       5:{3,4}:{(3,1),(8,1)}
       6:{2,5}:{(3,1),(7,1),(8,1),(9,1)}
       7:{1,5}:{(4,1),(6,1),(10,1)}
       8:{3,5}:{(5,1),(6,1),(11,1),(12,1)}
       9:{2,6}:{(6,1),(10,1),(12,1)}
      10:{1,6}:{(7,1),(9,1)}
      11:{4,5}:{(8,1),(13,1)}
      12:{3,6}:{(8,1),(9,1),(13,1)}
      13:{4,6}:{(11,1),(12,1),(14,1)}
      14:{5,6}:{(13,1)}

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

 35 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(7,1),(9,1),(12,1)}
       1:{2,5}:{(0,1),(4,1),(5,1)}
       2:{1,4}:{(0,1),(4,1),(13,1)}
       3:{1,3,6}:{(0,1),(5,1),(6,1),(10,1)}
       4:{2,4}:{(1,1),(2,1),(7,1)}
       5:{2,6}:{(1,1),(3,1)}
       6:{1,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       7:{3}:{(4,1)}
       8:{2,4,6}:{(4,1),(5,1),(6,1),(10,1),(11,1),(13,1)}
       9:{1,5}:{(6,1),(11,1)}
      10:{3,6}:{(7,1),(8,1),(12,1)}
      11:{2,5}:{(8,1),(9,1),(12,1)}
      12:{3,5}:{(10,1),(11,1),(13,1)}
      13:{4}:{(12,1)}

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

 37 :  0:{1,4,6}:{(1,1),(2,1),(3,1),(10,1)}
       1:{2,4,6}:{(0,1),(4,1),(5,1),(6,1),(11,1),(12,1)}
       2:{1,3,6}:{(0,1),(4,1),(6,1),(7,1)}
       3:{1,5}:{(0,1),(5,1)}
       4:{3,6}:{(1,1),(8,1),(13,1)}
       5:{2,5}:{(1,1),(3,1),(8,1)}
       6:{2,6}:{(2,1),(9,1)}
       7:{1,3,5}:{(2,1),(3,1),(8,1),(9,1),(10,1),(13,1)}
       8:{3,5}:{(4,1),(5,1),(11,1)}
       9:{2,5}:{(6,1),(7,1),(12,1)}
      10:{1,4}:{(7,1),(11,1),(12,1)}
      11:{4}:{(8,1)}
      12:{2,4}:{(9,1),(10,1),(13,1)}
      13:{3}:{(12,1)}

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

 39 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(7,1),(9,1),(12,1)}
       1:{2,5}:{(0,1),(4,1),(5,1)}
       2:{1,4}:{(0,1),(4,1),(13,1)}
       3:{1,3,6}:{(0,1),(5,1),(6,1),(10,1)}
       4:{2,4}:{(1,1),(2,1),(7,1)}
       5:{2,6}:{(1,1),(3,1)}
       6:{1,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       7:{3}:{(4,1)}
       8:{2,4,6}:{(4,1),(5,1),(6,1),(10,1),(11,1),(13,1)}
       9:{1,5}:{(6,1),(11,1)}
      10:{3,6}:{(7,1),(8,1),(12,1)}
      11:{2,5}:{(8,1),(9,1),(12,1)}
      12:{3,5}:{(10,1),(11,1),(13,1)}
      13:{4}:{(12,1)}

 40 :  0:{1,3,6}:{(1,1),(2,1),(3,1),(8,1)}
       1:{2,6}:{(0,1),(5,1)}
       2:{1,4,6}:{(0,1),(4,1),(6,1),(7,1)}
       3:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(11,1),(12,1)}
       4:{2,4,6}:{(1,1),(2,1),(8,1),(9,1),(10,1),(13,1)}
       5:{2,5}:{(1,1),(3,1),(10,1)}
       6:{1,5}:{(2,1),(9,1)}
       7:{1,4}:{(3,1),(10,1),(13,1)}
       8:{3,6}:{(4,1),(11,1),(12,1)}
       9:{2,5}:{(4,1),(6,1),(11,1)}
      10:{2,4}:{(5,1),(7,1),(12,1)}
      11:{3,5}:{(8,1),(9,1),(13,1)}
      12:{3}:{(10,1)}
      13:{4}:{(11,1)}

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

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

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

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

 45 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(7,1),(9,1),(12,1)}
       1:{1,4,6}:{(0,1),(4,1),(5,1),(11,1)}
       2:{3,6}:{(0,1),(6,1),(13,1)}
       3:{2,5}:{(0,1),(5,1),(6,1)}
       4:{1,3,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{1,5}:{(1,1),(3,1)}
       6:{3,5}:{(2,1),(3,1),(9,1)}
       7:{2,6}:{(4,1),(10,1)}
       8:{1,3,5}:{(4,1),(5,1),(6,1),(10,1),(11,1),(13,1)}
       9:{4}:{(6,1)}
      10:{2,5}:{(7,1),(8,1),(12,1)}
      11:{1,4}:{(8,1),(9,1),(12,1)}
      12:{2,4}:{(10,1),(11,1),(13,1)}
      13:{3}:{(12,1)}

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

 47 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(7,1),(9,1),(12,1)}
       1:{1,4,6}:{(0,1),(4,1),(5,1),(11,1)}
       2:{3,6}:{(0,1),(6,1),(13,1)}
       3:{2,5}:{(0,1),(5,1),(6,1)}
       4:{1,3,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{1,5}:{(1,1),(3,1)}
       6:{3,5}:{(2,1),(3,1),(9,1)}
       7:{2,6}:{(4,1),(10,1)}
       8:{1,3,5}:{(4,1),(5,1),(6,1),(10,1),(11,1),(13,1)}
       9:{4}:{(6,1)}
      10:{2,5}:{(7,1),(8,1),(12,1)}
      11:{1,4}:{(8,1),(9,1),(12,1)}
      12:{2,4}:{(10,1),(11,1),(13,1)}
      13:{3}:{(12,1)}

 48 :  0:{3,4,6}:{(1,1),(2,1),(13,1),(23,1),(26,1)}
       1:{2,4,6}:{(0,1),(3,1),(4,1),(5,1),(16,1)}
       2:{3,5}:{(0,1),(5,1),(7,1)}
       3:{2,3,6}:{(1,1),(8,1),(9,1),(26,1),(33,1)}
       4:{1,4,6}:{(1,1),(8,1),(10,1),(22,1)}
       5:{2,5}:{(1,1),(2,1),(10,1)}
       6:{3,5,6}:{(2,1),(11,1),(13,1),(26,1)}
       7:{4,5}:{(2,1),(13,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{2,3,5}:{(3,1),(5,1),(15,1),(16,1),(20,1),(30,1),(34,1)}
      10:{1,5}:{(4,1),(5,1)}
      11:{2,5,6}:{(5,1),(6,1),(17,1),(19,1)}
      12:{2,4,5}:{(5,1),(7,1),(16,1),(18,1),(19,1),(20,1),(30,1)}
      13:{4,6}:{(6,1),(7,1)}
      14:{1,2,6}:{(8,1),(21,1),(33,1)}
      15:{1,3,5}:{(8,1),(9,1),(10,1),(21,1),(22,1),(31,1)}
      16:{2,4}:{(9,1),(22,1),(23,1)}
      17:{1,5,6}:{(10,1),(11,1),(24,1)}
      18:{1,4,5}:{(10,1),(12,1),(22,1),(24,1),(25,1)}
      19:{2,4,6}:{(11,1),(12,1),(13,1),(24,1),(26,1),(33,1)}
      20:{3,5}:{(12,1),(23,1),(26,1)}
      21:{1,2,5}:{(14,1),(15,1),(27,1),(30,1)}
      22:{1,4}:{(15,1),(16,1)}
      23:{3,4}:{(16,1),(20,1)}
      24:{1,4,6}:{(17,1),(18,1),(19,1),(29,1)}
      25:{1,3,5}:{(18,1),(20,1),(28,1),(29,1),(30,1)}
      26:{3,6}:{(19,1),(20,1)}
      27:{1,2,4}:{(21,1),(22,1),(31,1),(32,1)}
      28:{1,3,4}:{(22,1),(23,1),(25,1),(31,1),(32,1)}
      29:{1,3,6}:{(24,1),(25,1),(26,1),(33,1)}
      30:{2,5}:{(25,1),(32,1),(33,1)}
      31:{1,3}:{(27,1),(34,1)}
      32:{2,4}:{(28,1),(30,1),(34,1)}
      33:{2,6}:{(29,1),(30,1)}
      34:{2,3}:{(31,1),(32,1)}

 49 :  0:{4,5}:{(2,1),(3,1)}
       1:{3,4}:{(2,1),(4,1)}
       2:{3,5}:{(0,1),(1,1),(6,1),(7,1)}
       3:{4,6}:{(0,1),(7,1),(8,1)}
       4:{2,4}:{(1,1),(5,1),(6,1),(9,1)}
       5:{2,3}:{(4,1),(10,1)}
       6:{2,5}:{(2,1),(4,1),(11,1),(12,1)}
       7:{3,6}:{(2,1),(3,1),(12,1)}
       8:{5,6}:{(3,1)}
       9:{1,4}:{(4,1),(10,1),(11,1)}
      10:{1,3}:{(5,1),(9,1),(13,1)}
      11:{1,5}:{(6,1),(9,1),(14,1)}
      12:{2,6}:{(6,1),(7,1),(14,1)}
      13:{1,2}:{(10,1)}
      14:{1,6}:{(11,1),(12,1)}

 50 :  0:{3,5,6}:{(1,1),(2,1),(9,1),(10,1)}
       1:{2,5,6}:{(0,1),(3,1),(4,1),(16,1)}
       2:{4,6}:{(0,1),(5,1)}
       3:{1,5,6}:{(1,1),(7,1),(23,1)}
       4:{2,4,6}:{(1,1),(2,1),(7,1),(8,1),(9,1),(19,1)}
       5:{4,5}:{(2,1),(10,1)}
       6:{3,4,6}:{(2,1),(9,1),(10,1),(11,1),(20,1)}
       7:{1,4,6}:{(3,1),(4,1),(12,1),(13,1)}
       8:{2,4,5}:{(4,1),(5,1),(12,1),(14,1),(16,1),(25,1),(27,1)}
       9:{3,6}:{(4,1),(14,1)}
      10:{3,5}:{(5,1),(6,1),(16,1)}
      11:{2,4,6}:{(6,1),(15,1),(16,1),(17,1),(27,1)}
      12:{1,4,5}:{(7,1),(8,1),(18,1),(23,1),(31,1)}
      13:{1,3,6}:{(7,1),(9,1),(18,1),(19,1)}
      14:{3,5}:{(8,1),(9,1),(20,1)}
      15:{2,3,6}:{(9,1),(11,1),(19,1),(21,1),(22,1)}
      16:{2,5}:{(10,1),(11,1),(23,1)}
      17:{1,4,6}:{(11,1),(22,1),(23,1),(31,1)}
      18:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1)}
      19:{2,6}:{(13,1),(25,1)}
      20:{3,4}:{(14,1),(27,1)}
      21:{2,3,5}:{(14,1),(15,1),(16,1),(25,1),(27,1),(28,1),(32,1)}
      22:{1,3,6}:{(15,1),(17,1),(26,1),(28,1)}
      23:{1,5}:{(16,1),(17,1)}
      24:{1,3,4}:{(18,1),(20,1),(29,1),(31,1),(34,1)}
      25:{2,5}:{(18,1),(19,1),(29,1)}
      26:{1,2,6}:{(19,1),(22,1),(30,1)}
      27:{2,4}:{(20,1),(21,1),(31,1)}
      28:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1),(34,1)}
      29:{2,4}:{(24,1),(25,1),(32,1)}
      30:{1,2,5}:{(25,1),(26,1),(28,1),(33,1)}
      31:{1,4}:{(27,1),(28,1)}
      32:{2,3}:{(29,1),(34,1)}
      33:{1,2,4}:{(29,1),(30,1),(31,1),(34,1)}
      34:{1,3}:{(32,1),(33,1)}

 51 :  0:{5,6}:{(2,1)}
       1:{4,5}:{(2,1),(3,1)}
       2:{4,6}:{(0,1),(1,1),(5,1)}
       3:{3,5}:{(1,1),(4,1),(5,1),(6,1)}
       4:{3,4}:{(3,1),(7,1)}
       5:{3,6}:{(2,1),(3,1),(8,1)}
       6:{2,5}:{(3,1),(7,1),(8,1),(9,1)}
       7:{2,4}:{(4,1),(6,1),(10,1),(11,1)}
       8:{2,6}:{(5,1),(6,1),(12,1)}
       9:{1,5}:{(6,1),(11,1),(12,1)}
      10:{2,3}:{(7,1),(13,1)}
      11:{1,4}:{(7,1),(9,1),(13,1)}
      12:{1,6}:{(8,1),(9,1)}
      13:{1,3}:{(10,1),(11,1),(14,1)}
      14:{1,2}:{(13,1)}

 52 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(9,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1)}
       2:{1,2,5}:{(0,1),(5,1),(10,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(9,1),(16,1),(17,1),(20,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(20,1)}
       5:{1,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       6:{2,4,6}:{(3,1),(4,1),(10,1),(13,1)}
       7:{1,3,5}:{(3,1),(10,1),(12,1),(19,1)}
       8:{2,3,5}:{(4,1),(5,1),(10,1),(13,1),(19,1)}
       9:{1,4}:{(5,1),(13,1)}
      10:{2,5}:{(6,1),(7,1)}
      11:{1,3,5,6}:{(7,1),(14,1),(16,1),(20,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(16,1)}
      13:{2,4}:{(8,1),(9,1),(17,1)}
      14:{2,5,6}:{(10,1),(11,1),(18,1)}
      15:{2,4,5}:{(10,1),(12,1),(13,1),(18,1),(19,1)}
      16:{1,4,6}:{(11,1),(12,1),(18,1)}
      17:{3,4}:{(13,1),(19,1)}
      18:{2,4,6}:{(14,1),(15,1),(16,1),(20,1)}
      19:{3,5}:{(15,1),(17,1),(20,1)}
      20:{3,6}:{(18,1),(19,1)}

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

 54 :  0:{2,3,6}:{(2,1),(3,1),(4,1),(31,1),(34,1)}
       1:{1,2,6}:{(2,1),(5,1),(34,1)}
       2:{1,3,6}:{(0,1),(1,1),(6,1),(7,1)}
       3:{2,4,6}:{(0,1),(6,1),(8,1),(9,1),(10,1)}
       4:{2,3,5}:{(0,1),(7,1),(9,1),(10,1),(25,1),(26,1),(33,1)}
       5:{1,2,5}:{(1,1),(7,1),(11,1),(33,1)}
       6:{1,4,6}:{(2,1),(3,1),(12,1),(13,1)}
       7:{1,3,5}:{(2,1),(4,1),(5,1),(12,1),(13,1),(18,1)}
       8:{3,4,6}:{(3,1),(14,1),(17,1),(30,1),(31,1)}
       9:{2,5}:{(3,1),(12,1),(14,1)}
      10:{2,4}:{(4,1),(13,1),(17,1)}
      11:{1,2,4}:{(5,1),(13,1),(18,1),(29,1)}
      12:{1,5}:{(6,1),(9,1)}
      13:{1,4}:{(7,1),(10,1)}
      14:{3,5}:{(8,1),(9,1),(23,1)}
      15:{2,5,6}:{(9,1),(19,1),(22,1),(24,1)}
      16:{2,4,5}:{(9,1),(10,1),(20,1),(23,1),(24,1),(25,1),(33,1)}
      17:{3,4}:{(10,1),(25,1)}
      18:{1,3}:{(11,1),(26,1)}
      19:{1,5,6}:{(12,1),(15,1),(27,1)}
      20:{1,4,5}:{(12,1),(13,1),(16,1),(27,1),(28,1)}
      21:{1,3,4}:{(13,1),(17,1),(18,1),(28,1),(29,1)}
      22:{3,5,6}:{(14,1),(15,1),(30,1),(31,1)}
      23:{4,5}:{(14,1),(30,1)}
      24:{2,4,6}:{(15,1),(16,1),(27,1),(30,1),(31,1),(34,1)}
      25:{3,5}:{(16,1),(17,1),(31,1)}
      26:{2,3}:{(18,1),(29,1)}
      27:{1,4,6}:{(19,1),(20,1),(24,1),(32,1)}
      28:{1,3,5}:{(20,1),(21,1),(25,1),(32,1),(33,1)}
      29:{2,4}:{(21,1),(26,1),(33,1)}
      30:{4,6}:{(22,1),(23,1)}
      31:{3,6}:{(24,1),(25,1)}
      32:{1,3,6}:{(27,1),(28,1),(31,1),(34,1)}
      33:{2,5}:{(28,1),(29,1),(34,1)}
      34:{2,6}:{(32,1),(33,1)}

 55 :  0:{3,4}:{(3,1),(4,1)}
       1:{2,3}:{(3,1),(5,1)}
       2:{1,2}:{(5,1)}
       3:{2,4}:{(0,1),(1,1),(6,1),(7,1)}
       4:{3,5}:{(0,1),(7,1),(8,1),(9,1)}
       5:{1,3}:{(1,1),(2,1),(6,1)}
       6:{1,4}:{(3,1),(5,1),(10,1)}
       7:{2,5}:{(3,1),(4,1),(10,1),(11,1)}
       8:{4,5}:{(4,1),(12,1)}
       9:{3,6}:{(4,1),(11,1),(12,1)}
      10:{1,5}:{(6,1),(7,1),(13,1)}
      11:{2,6}:{(7,1),(9,1),(13,1)}
      12:{4,6}:{(8,1),(9,1),(14,1)}
      13:{1,6}:{(10,1),(11,1)}
      14:{5,6}:{(12,1)}

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

 57 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(13,1),(18,1),(19,1),(20,1)}
       1:{2,4,6}:{(0,1),(3,1),(5,1),(15,1)}
       2:{1,3,5}:{(0,1),(5,1),(7,1),(17,1)}
       3:{2,3,6}:{(1,1),(8,1),(9,1),(20,1)}
       4:{1,2,4,6}:{(1,1),(8,1),(10,1),(18,1)}
       5:{2,5}:{(1,1),(2,1)}
       6:{1,3,5,6}:{(2,1),(11,1),(13,1),(20,1)}
       7:{1,4,5}:{(2,1),(12,1),(13,1),(18,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1)}
       9:{2,3,5}:{(3,1),(5,1),(14,1),(15,1),(17,1)}
      10:{1,2,5}:{(4,1),(5,1),(14,1)}
      11:{2,5,6}:{(5,1),(6,1),(16,1)}
      12:{2,4,5}:{(5,1),(7,1),(15,1),(16,1),(17,1)}
      13:{1,4,6}:{(6,1),(7,1),(16,1)}
      14:{1,3,5}:{(8,1),(9,1),(10,1),(18,1)}
      15:{2,4}:{(9,1),(18,1),(19,1)}
      16:{2,4,6}:{(11,1),(12,1),(13,1),(20,1)}
      17:{3,5}:{(12,1),(19,1),(20,1)}
      18:{1,4}:{(14,1),(15,1)}
      19:{3,4}:{(15,1),(17,1)}
      20:{3,6}:{(16,1),(17,1)}

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

 59 :  0:{1,3,5,6}:{(1,1),(2,1),(7,1),(8,1)}
       1:{2,5,6}:{(0,1),(3,1),(12,1)}
       2:{1,4,6}:{(0,1),(3,1),(4,1)}
       3:{2,4,6}:{(1,1),(2,1),(6,1),(7,1)}
       4:{1,4,5}:{(2,1),(6,1),(8,1),(20,1)}
       5:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(14,1),(16,1),(20,1)}
       6:{2,4,5}:{(3,1),(4,1),(10,1),(12,1),(18,1)}
       7:{3,6}:{(3,1),(10,1)}
       8:{1,3,5}:{(4,1),(5,1),(10,1),(12,1)}
       9:{2,4,6}:{(5,1),(11,1),(12,1),(18,1)}
      10:{3,5}:{(6,1),(7,1),(14,1)}
      11:{2,3,6}:{(7,1),(9,1),(15,1),(16,1)}
      12:{2,5}:{(8,1),(9,1)}
      13:{1,2,4,6}:{(9,1),(16,1),(17,1),(20,1)}
      14:{3,4}:{(10,1),(18,1)}
      15:{2,3,5}:{(10,1),(11,1),(12,1),(18,1),(19,1)}
      16:{1,3,6}:{(11,1),(13,1),(19,1)}
      17:{1,2,5}:{(12,1),(13,1),(19,1)}
      18:{2,4}:{(14,1),(15,1),(20,1)}
      19:{1,3,5}:{(15,1),(16,1),(17,1),(20,1)}
      20:{1,4}:{(18,1),(19,1)}

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

 61 :  0:{1,3,4}:{(1,1),(2,1),(8,1),(21,1),(23,1)}
       1:{2,4}:{(0,1),(3,1),(5,1)}
       2:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(18,1)}
       3:{2,3}:{(1,1),(8,1)}
       4:{1,2,4}:{(1,1),(8,1),(10,1),(21,1)}
       5:{2,5}:{(1,1),(2,1),(12,1)}
       6:{1,4,5}:{(2,1),(11,1),(13,1),(21,1),(31,1)}
       7:{1,3,6}:{(2,1),(12,1),(13,1),(25,1)}
       8:{1,3}:{(3,1),(4,1)}
       9:{2,3,5}:{(3,1),(5,1),(14,1),(15,1),(16,1),(18,1),(29,1)}
      10:{1,2,5}:{(4,1),(5,1),(14,1),(17,1)}
      11:{2,4,5}:{(5,1),(6,1),(15,1),(18,1),(19,1),(29,1),(34,1)}
      12:{2,6}:{(5,1),(7,1)}
      13:{1,4,6}:{(6,1),(7,1),(19,1),(20,1)}
      14:{1,3,5}:{(8,1),(9,1),(10,1),(21,1),(22,1),(31,1)}
      15:{2,4}:{(9,1),(21,1),(23,1)}
      16:{2,3,6}:{(9,1),(12,1),(22,1),(24,1),(25,1)}
      17:{1,2,6}:{(10,1),(12,1),(22,1)}
      18:{3,5}:{(11,1),(23,1),(25,1)}
      19:{2,4,6}:{(11,1),(12,1),(13,1),(25,1),(26,1),(33,1)}
      20:{1,5,6}:{(13,1),(26,1),(31,1)}
      21:{1,4}:{(14,1),(15,1)}
      22:{1,3,6}:{(14,1),(16,1),(17,1),(27,1)}
      23:{3,4}:{(15,1),(18,1)}
      24:{2,4,6}:{(15,1),(16,1),(27,1),(28,1),(29,1)}
      25:{3,6}:{(18,1),(19,1)}
      26:{2,5,6}:{(19,1),(20,1),(29,1),(30,1)}
      27:{1,4,6}:{(21,1),(22,1),(24,1),(31,1)}
      28:{3,4,6}:{(23,1),(24,1),(25,1),(32,1),(33,1)}
      29:{2,5}:{(24,1),(31,1),(32,1)}
      30:{3,5,6}:{(25,1),(26,1),(32,1),(33,1)}
      31:{1,5}:{(27,1),(29,1)}
      32:{3,5}:{(28,1),(29,1),(34,1)}
      33:{4,6}:{(30,1),(34,1)}
      34:{4,5}:{(32,1),(33,1)}

 62 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(7,1),(9,1),(12,1)}
       1:{2,5}:{(0,1),(4,1),(5,1)}
       2:{1,4}:{(0,1),(4,1),(13,1)}
       3:{1,3,6}:{(0,1),(5,1),(6,1),(10,1)}
       4:{2,4}:{(1,1),(2,1),(7,1)}
       5:{2,6}:{(1,1),(3,1)}
       6:{1,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       7:{3}:{(4,1)}
       8:{2,4,6}:{(4,1),(5,1),(6,1),(10,1),(11,1),(13,1)}
       9:{1,5}:{(6,1),(11,1)}
      10:{3,6}:{(7,1),(8,1),(12,1)}
      11:{2,5}:{(8,1),(9,1),(12,1)}
      12:{3,5}:{(10,1),(11,1),(13,1)}
      13:{4}:{(12,1)}

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

 64 :  0:{4,5}:{(3,1),(4,1)}
       1:{3,4}:{(3,1),(5,1)}
       2:{2,3}:{(5,1),(6,1)}
       3:{3,5}:{(0,1),(1,1),(8,1),(9,1)}
       4:{4,6}:{(0,1),(9,1),(10,1)}
       5:{2,4}:{(1,1),(2,1),(8,1),(11,1)}
       6:{1,3}:{(2,1),(7,1),(11,1)}
       7:{1,2}:{(6,1)}
       8:{2,5}:{(3,1),(5,1),(12,1),(13,1)}
       9:{3,6}:{(3,1),(4,1),(13,1)}
      10:{5,6}:{(4,1)}
      11:{1,4}:{(5,1),(6,1),(12,1)}
      12:{1,5}:{(8,1),(11,1),(14,1)}
      13:{2,6}:{(8,1),(9,1),(14,1)}
      14:{1,6}:{(12,1),(13,1)}

 65 :  0:{2,3,5}:{(1,1),(2,1),(3,1),(13,1),(18,1),(27,1),(28,1)}
       1:{1,3,5}:{(0,1),(4,1),(6,1),(7,1),(19,1),(25,1)}
       2:{2,4}:{(0,1),(6,1),(8,1)}
       3:{2,3,6}:{(0,1),(7,1),(9,1),(22,1),(33,1)}
       4:{1,2,5}:{(1,1),(10,1),(11,1),(28,1)}
       5:{2,4,5}:{(2,1),(12,1),(13,1),(14,1),(18,1),(28,1),(32,1)}
       6:{1,4}:{(1,1),(2,1)}
       7:{1,3,6}:{(1,1),(3,1),(11,1),(16,1)}
       8:{3,4}:{(2,1),(13,1)}
       9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
      10:{1,2,4}:{(4,1),(6,1),(19,1),(24,1)}
      11:{1,2,6}:{(4,1),(7,1),(33,1)}
      12:{1,4,5}:{(5,1),(6,1),(20,1),(21,1),(25,1)}
      13:{3,5}:{(5,1),(8,1),(22,1)}
      14:{2,4,6}:{(5,1),(21,1),(22,1),(23,1),(33,1),(34,1)}
      15:{1,3,4}:{(6,1),(8,1),(19,1),(20,1),(24,1)}
      16:{1,4,6}:{(6,1),(7,1),(9,1),(25,1)}
      17:{3,4,6}:{(8,1),(9,1),(22,1),(26,1),(34,1)}
      18:{2,5}:{(9,1),(25,1),(26,1)}
      19:{1,3}:{(10,1),(27,1)}
      20:{1,3,5}:{(12,1),(13,1),(15,1),(28,1),(29,1)}
      21:{1,4,6}:{(12,1),(14,1),(29,1),(30,1)}
      22:{3,6}:{(13,1),(14,1)}
      23:{2,5,6}:{(14,1),(18,1),(30,1),(31,1)}
      24:{2,4}:{(15,1),(27,1),(28,1)}
      25:{1,5}:{(16,1),(18,1)}
      26:{3,5}:{(17,1),(18,1),(32,1)}
      27:{2,3}:{(19,1),(24,1)}
      28:{2,5}:{(20,1),(24,1),(33,1)}
      29:{1,3,6}:{(20,1),(21,1),(22,1),(33,1)}
      30:{1,5,6}:{(21,1),(23,1),(25,1)}
      31:{3,5,6}:{(22,1),(23,1),(26,1),(34,1)}
      32:{4,5}:{(26,1),(34,1)}
      33:{2,6}:{(28,1),(29,1)}
      34:{4,6}:{(31,1),(32,1)}

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

 67 :  0:{2,4,5}:{(1,1),(2,1),(3,1),(11,1),(14,1),(31,1),(32,1)}
       1:{1,4,5}:{(0,1),(4,1),(5,1),(22,1),(34,1)}
       2:{3,5}:{(0,1),(6,1),(8,1)}
       3:{2,4,6}:{(0,1),(5,1),(8,1),(9,1),(21,1),(26,1)}
       4:{1,3,5}:{(1,1),(2,1),(10,1),(11,1),(12,1)}
       5:{1,4,6}:{(1,1),(3,1),(12,1),(13,1)}
       6:{3,4}:{(2,1),(14,1)}
       7:{2,3,5}:{(2,1),(11,1),(14,1),(16,1),(17,1),(27,1),(31,1)}
       8:{3,6}:{(2,1),(3,1)}
       9:{2,5,6}:{(3,1),(13,1),(18,1),(31,1)}
      10:{1,3,4}:{(4,1),(6,1),(19,1),(22,1),(33,1)}
      11:{2,5}:{(4,1),(19,1),(21,1)}
      12:{1,3,6}:{(4,1),(5,1),(8,1),(21,1)}
      13:{1,5,6}:{(5,1),(9,1),(34,1)}
      14:{2,4}:{(6,1),(7,1),(22,1)}
      15:{3,4,6}:{(6,1),(8,1),(23,1),(24,1),(26,1)}
      16:{1,3,5}:{(7,1),(20,1),(22,1),(25,1),(33,1),(34,1)}
      17:{2,3,6}:{(7,1),(8,1),(21,1),(23,1),(25,1)}
      18:{3,5,6}:{(8,1),(9,1),(24,1),(26,1)}
      19:{2,4}:{(10,1),(11,1),(27,1)}
      20:{1,2,5}:{(11,1),(16,1),(28,1),(29,1)}
      21:{2,6}:{(11,1),(12,1)}
      22:{1,4}:{(14,1),(16,1)}
      23:{2,4,6}:{(14,1),(15,1),(17,1),(30,1),(31,1)}
      24:{3,5}:{(15,1),(31,1),(32,1)}
      25:{1,3,6}:{(16,1),(17,1),(29,1),(30,1)}
      26:{4,6}:{(18,1),(32,1)}
      27:{2,3}:{(19,1),(33,1)}
      28:{1,2,4}:{(19,1),(20,1),(22,1),(33,1)}
      29:{1,2,6}:{(20,1),(21,1),(25,1)}
      30:{1,4,6}:{(22,1),(23,1),(25,1),(34,1)}
      31:{2,5}:{(23,1),(24,1),(34,1)}
      32:{4,5}:{(24,1),(26,1)}
      33:{1,3}:{(27,1),(28,1)}
      34:{1,5}:{(30,1),(31,1)}

 68 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(7,1),(9,1),(12,1)}
       1:{1,4,6}:{(0,1),(4,1),(5,1),(11,1)}
       2:{3,6}:{(0,1),(6,1),(13,1)}
       3:{2,5}:{(0,1),(5,1),(6,1)}
       4:{1,3,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{1,5}:{(1,1),(3,1)}
       6:{3,5}:{(2,1),(3,1),(9,1)}
       7:{2,6}:{(4,1),(10,1)}
       8:{1,3,5}:{(4,1),(5,1),(6,1),(10,1),(11,1),(13,1)}
       9:{4}:{(6,1)}
      10:{2,5}:{(7,1),(8,1),(12,1)}
      11:{1,4}:{(8,1),(9,1),(12,1)}
      12:{2,4}:{(10,1),(11,1),(13,1)}
      13:{3}:{(12,1)}

 69 :  0:{5,6}:{(3,1)}
       1:{4,5}:{(3,1),(4,1)}
       2:{3,4}:{(4,1),(5,1)}
       3:{4,6}:{(0,1),(1,1),(7,1)}
       4:{3,5}:{(1,1),(2,1),(7,1),(8,1)}
       5:{2,4}:{(2,1),(6,1),(8,1),(9,1)}
       6:{2,3}:{(5,1),(10,1)}
       7:{3,6}:{(3,1),(4,1),(11,1)}
       8:{2,5}:{(4,1),(5,1),(11,1),(12,1)}
       9:{1,4}:{(5,1),(10,1),(12,1)}
      10:{1,3}:{(6,1),(9,1),(13,1)}
      11:{2,6}:{(7,1),(8,1),(14,1)}
      12:{1,5}:{(8,1),(9,1),(14,1)}
      13:{1,2}:{(10,1)}
      14:{1,6}:{(11,1),(12,1)}

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

 71 :  0:{3,5,6}:{(1,1),(2,1),(9,1),(10,1)}
       1:{2,5,6}:{(0,1),(3,1),(4,1),(16,1)}
       2:{4,6}:{(0,1),(5,1)}
       3:{1,5,6}:{(1,1),(7,1),(23,1)}
       4:{2,4,6}:{(1,1),(2,1),(7,1),(8,1),(9,1),(19,1)}
       5:{4,5}:{(2,1),(10,1)}
       6:{3,4,6}:{(2,1),(9,1),(10,1),(11,1),(20,1)}
       7:{1,4,6}:{(3,1),(4,1),(12,1),(13,1)}
       8:{2,4,5}:{(4,1),(5,1),(12,1),(14,1),(16,1),(25,1),(27,1)}
       9:{3,6}:{(4,1),(14,1)}
      10:{3,5}:{(5,1),(6,1),(16,1)}
      11:{2,4,6}:{(6,1),(15,1),(16,1),(17,1),(27,1)}
      12:{1,4,5}:{(7,1),(8,1),(18,1),(23,1),(31,1)}
      13:{1,3,6}:{(7,1),(9,1),(18,1),(19,1)}
      14:{3,5}:{(8,1),(9,1),(20,1)}
      15:{2,3,6}:{(9,1),(11,1),(19,1),(21,1),(22,1)}
      16:{2,5}:{(10,1),(11,1),(23,1)}
      17:{1,4,6}:{(11,1),(22,1),(23,1),(31,1)}
      18:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1)}
      19:{2,6}:{(13,1),(25,1)}
      20:{3,4}:{(14,1),(27,1)}
      21:{2,3,5}:{(14,1),(15,1),(16,1),(25,1),(27,1),(28,1),(32,1)}
      22:{1,3,6}:{(15,1),(17,1),(26,1),(28,1)}
      23:{1,5}:{(16,1),(17,1)}
      24:{1,3,4}:{(18,1),(20,1),(29,1),(31,1),(34,1)}
      25:{2,5}:{(18,1),(19,1),(29,1)}
      26:{1,2,6}:{(19,1),(22,1),(30,1)}
      27:{2,4}:{(20,1),(21,1),(31,1)}
      28:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1),(34,1)}
      29:{2,4}:{(24,1),(25,1),(32,1)}
      30:{1,2,5}:{(25,1),(26,1),(28,1),(33,1)}
      31:{1,4}:{(27,1),(28,1)}
      32:{2,3}:{(29,1),(34,1)}
      33:{1,2,4}:{(29,1),(30,1),(31,1),(34,1)}
      34:{1,3}:{(32,1),(33,1)}

 72 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(2,1),(3,1)}
       2:{1,3,4}:{(1,1),(4,1),(5,1)}
       3:{1,2,5}:{(1,1),(5,1),(6,1)}
       4:{2,3,4}:{(2,1),(7,1)}
       5:{1,3,5}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
       6:{1,2,6}:{(3,1),(9,1)}
       7:{2,3,5}:{(4,1),(5,1),(10,1),(11,1)}
       8:{1,4,5}:{(5,1),(10,1),(12,1)}
       9:{1,3,6}:{(5,1),(6,1),(11,1),(12,1)}
      10:{2,4,5}:{(7,1),(8,1),(13,1),(14,1)}
      11:{2,3,6}:{(7,1),(9,1),(14,1)}
      12:{1,4,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{3,4,5}:{(10,1),(16,1)}
      14:{2,4,6}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
      15:{1,5,6}:{(12,1),(17,1)}
      16:{3,4,6}:{(13,1),(14,1),(18,1)}
      17:{2,5,6}:{(14,1),(15,1),(18,1)}
      18:{3,5,6}:{(16,1),(17,1),(19,1)}
      19:{4,5,6}:{(18,1)}

 73 :  0:{1,2,4,5}:{(1,1),(2,1),(7,1),(15,1),(16,1)}
       1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1)}
       2:{1,2,4,6}:{(0,1),(5,1),(6,1),(11,1),(14,1)}
       3:{1,3,4}:{(1,1),(7,1)}
       4:{2,3,5}:{(1,1),(7,1),(9,1),(15,1)}
       5:{1,3,6}:{(1,1),(2,1),(9,1)}
       6:{1,2,5,6}:{(2,1),(10,1),(15,1)}
       7:{2,4}:{(3,1),(4,1)}
       8:{1,3,4,6}:{(3,1),(5,1),(11,1),(12,1),(14,1),(19,1)}
       9:{2,3,6}:{(4,1),(5,1),(11,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(12,1),(13,1),(14,1)}
      11:{2,4,6}:{(7,1),(8,1),(9,1),(15,1)}
      12:{1,3,5}:{(8,1),(15,1),(16,1),(20,1)}
      13:{2,3,5,6}:{(9,1),(10,1),(15,1),(17,1),(20,1)}
      14:{1,4,6}:{(10,1),(16,1),(17,1)}
      15:{2,5}:{(11,1),(12,1)}
      16:{1,4,5}:{(12,1),(14,1),(18,1)}
      17:{2,4,6}:{(13,1),(14,1),(18,1),(19,1)}
      18:{2,4,5}:{(15,1),(16,1),(17,1),(20,1)}
      19:{3,4,6}:{(17,1),(20,1)}
      20:{3,5}:{(18,1),(19,1)}

 74 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(9,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1)}
       2:{1,2,5}:{(0,1),(5,1),(11,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(9,1),(15,1),(17,1),(20,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(20,1)}
       5:{1,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       6:{2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
       7:{1,3,5}:{(3,1),(11,1),(12,1),(19,1)}
       8:{2,3,5}:{(4,1),(5,1),(11,1),(13,1),(19,1)}
       9:{1,4}:{(5,1),(13,1)}
      10:{1,3,5,6}:{(7,1),(14,1),(15,1),(20,1)}
      11:{2,5}:{(6,1),(7,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(16,1)}
      13:{2,4}:{(8,1),(9,1),(17,1)}
      14:{2,5,6}:{(10,1),(11,1),(18,1)}
      15:{1,4,6}:{(10,1),(12,1),(18,1)}
      16:{2,4,5}:{(11,1),(12,1),(13,1),(18,1),(19,1)}
      17:{3,4}:{(13,1),(19,1)}
      18:{2,4,6}:{(14,1),(15,1),(16,1),(20,1)}
      19:{3,5}:{(16,1),(17,1),(20,1)}
      20:{3,6}:{(18,1),(19,1)}

 75 :  0:{1,2,5,6}:{(1,1),(2,1),(19,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(6,1),(14,1)}
       2:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(15,1)}
       3:{2,3,5,6}:{(1,1),(7,1),(11,1),(18,1),(19,1)}
       4:{1,4,6}:{(1,1),(7,1),(8,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1),(19,1),(20,1)}
       6:{1,3,6}:{(2,1),(10,1),(11,1)}
       7:{2,4,6}:{(3,1),(4,1),(12,1),(13,1)}
       8:{1,4,5}:{(4,1),(12,1),(14,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(13,1),(14,1),(15,1),(16,1)}
      10:{1,3,5}:{(5,1),(6,1),(16,1),(17,1)}
      11:{2,3,6}:{(6,1),(15,1),(17,1)}
      12:{2,4,5}:{(7,1),(8,1),(18,1),(19,1)}
      13:{3,4,6}:{(7,1),(18,1)}
      14:{1,3,5}:{(8,1),(9,1),(18,1),(19,1)}
      15:{2,4,6}:{(9,1),(11,1),(19,1),(20,1)}
      16:{1,3,4}:{(10,1),(20,1)}
      17:{2,3,5}:{(10,1),(11,1),(19,1),(20,1)}
      18:{3,5}:{(12,1),(13,1)}
      19:{2,5}:{(14,1),(15,1)}
      20:{2,4}:{(16,1),(17,1)}

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

 77 :  0:{4,5}:{(4,1),(5,1)}
       1:{3,4}:{(4,1),(6,1)}
       2:{2,3}:{(6,1),(7,1)}
       3:{1,2}:{(7,1)}
       4:{3,5}:{(0,1),(1,1),(8,1),(9,1)}
       5:{4,6}:{(0,1),(9,1),(10,1)}
       6:{2,4}:{(1,1),(2,1),(8,1),(11,1)}
       7:{1,3}:{(2,1),(3,1),(11,1)}
       8:{2,5}:{(4,1),(6,1),(12,1),(13,1)}
       9:{3,6}:{(4,1),(5,1),(13,1)}
      10:{5,6}:{(5,1)}
      11:{1,4}:{(6,1),(7,1),(12,1)}
      12:{1,5}:{(8,1),(11,1),(14,1)}
      13:{2,6}:{(8,1),(9,1),(14,1)}
      14:{1,6}:{(12,1),(13,1)}

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

 79 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(9,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1)}
       2:{1,2,5}:{(0,1),(5,1),(10,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(9,1),(16,1),(17,1),(20,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(20,1)}
       5:{1,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       6:{2,4,6}:{(3,1),(4,1),(10,1),(13,1)}
       7:{1,3,5}:{(3,1),(10,1),(12,1),(19,1)}
       8:{2,3,5}:{(4,1),(5,1),(10,1),(13,1),(19,1)}
       9:{1,4}:{(5,1),(13,1)}
      10:{2,5}:{(6,1),(7,1)}
      11:{1,3,5,6}:{(7,1),(14,1),(16,1),(20,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(16,1)}
      13:{2,4}:{(8,1),(9,1),(17,1)}
      14:{2,5,6}:{(10,1),(11,1),(18,1)}
      15:{2,4,5}:{(10,1),(12,1),(13,1),(18,1),(19,1)}
      16:{1,4,6}:{(11,1),(12,1),(18,1)}
      17:{3,4}:{(13,1),(19,1)}
      18:{2,4,6}:{(14,1),(15,1),(16,1),(20,1)}
      19:{3,5}:{(15,1),(17,1),(20,1)}
      20:{3,6}:{(18,1),(19,1)}

 80 :  0:{1,5,6}:{(3,1),(5,1),(34,1)}
       1:{1,4,5}:{(4,1),(5,1),(6,1),(30,1),(34,1)}
       2:{1,3,4}:{(6,1),(7,1),(16,1),(19,1),(30,1)}
       3:{2,5,6}:{(0,1),(8,1),(9,1),(32,1)}
       4:{2,4,5}:{(1,1),(9,1),(10,1),(13,1),(22,1),(24,1),(32,1)}
       5:{1,4,6}:{(0,1),(1,1),(9,1),(12,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(13,1)}
       7:{2,4}:{(2,1),(11,1),(13,1)}
       8:{3,5,6}:{(3,1),(15,1),(17,1),(28,1)}
       9:{2,4,6}:{(3,1),(4,1),(5,1),(15,1),(17,1),(20,1)}
      10:{3,5}:{(4,1),(16,1),(17,1)}
      11:{2,3}:{(7,1),(19,1)}
      12:{1,3,6}:{(5,1),(6,1),(17,1),(20,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{1,2,4}:{(7,1),(19,1),(21,1),(30,1)}
      15:{4,6}:{(8,1),(22,1)}
      16:{3,4}:{(10,1),(24,1)}
      17:{3,6}:{(9,1),(10,1)}
      18:{2,3,5}:{(10,1),(11,1),(13,1),(24,1),(25,1),(26,1),(32,1)}
      19:{1,3}:{(11,1),(14,1)}
      20:{2,6}:{(12,1),(13,1)}
      21:{1,2,5}:{(13,1),(14,1),(26,1),(27,1)}
      22:{4,5}:{(15,1),(28,1)}
      23:{3,4,6}:{(15,1),(16,1),(17,1),(28,1),(29,1)}
      24:{2,4}:{(16,1),(18,1),(30,1)}
      25:{2,3,6}:{(17,1),(18,1),(20,1),(29,1),(31,1)}
      26:{1,3,5}:{(18,1),(19,1),(21,1),(30,1),(31,1),(34,1)}
      27:{1,2,6}:{(20,1),(21,1),(31,1)}
      28:{3,5}:{(22,1),(23,1),(32,1)}
      29:{2,4,6}:{(23,1),(24,1),(25,1),(32,1),(33,1)}
      30:{1,4}:{(24,1),(26,1)}
      31:{1,3,6}:{(25,1),(26,1),(27,1),(33,1)}
      32:{2,5}:{(28,1),(29,1),(34,1)}
      33:{1,4,6}:{(29,1),(30,1),(31,1),(34,1)}
      34:{1,5}:{(32,1),(33,1)}

 81 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(11,1),(18,1),(19,1),(20,1)}
       1:{2,4,6}:{(0,1),(3,1),(6,1),(15,1)}
       2:{1,3,5}:{(0,1),(6,1),(7,1),(17,1)}
       3:{2,3,6}:{(1,1),(8,1),(9,1),(20,1)}
       4:{1,3,5,6}:{(2,1),(10,1),(11,1),(20,1)}
       5:{1,2,4,6}:{(1,1),(8,1),(12,1),(18,1)}
       6:{2,5}:{(1,1),(2,1)}
       7:{1,4,5}:{(2,1),(11,1),(13,1),(18,1)}
       8:{1,3,6}:{(3,1),(5,1),(14,1)}
       9:{2,3,5}:{(3,1),(6,1),(14,1),(15,1),(17,1)}
      10:{2,5,6}:{(4,1),(6,1),(16,1)}
      11:{1,4,6}:{(4,1),(7,1),(16,1)}
      12:{1,2,5}:{(5,1),(6,1),(14,1)}
      13:{2,4,5}:{(6,1),(7,1),(15,1),(16,1),(17,1)}
      14:{1,3,5}:{(8,1),(9,1),(12,1),(18,1)}
      15:{2,4}:{(9,1),(18,1),(19,1)}
      16:{2,4,6}:{(10,1),(11,1),(13,1),(20,1)}
      17:{3,5}:{(13,1),(19,1),(20,1)}
      18:{1,4}:{(14,1),(15,1)}
      19:{3,4}:{(15,1),(17,1)}
      20:{3,6}:{(16,1),(17,1)}

 82 :  0:{1,3,5,6}:{(1,1),(2,1),(7,1),(8,1)}
       1:{2,5,6}:{(0,1),(3,1),(12,1)}
       2:{1,4,6}:{(0,1),(3,1),(4,1)}
       3:{2,4,6}:{(1,1),(2,1),(6,1),(7,1)}
       4:{1,4,5}:{(2,1),(6,1),(8,1),(20,1)}
       5:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(14,1),(16,1),(20,1)}
       6:{2,4,5}:{(3,1),(4,1),(10,1),(12,1),(18,1)}
       7:{3,6}:{(3,1),(10,1)}
       8:{1,3,5}:{(4,1),(5,1),(10,1),(12,1)}
       9:{2,4,6}:{(5,1),(11,1),(12,1),(18,1)}
      10:{3,5}:{(6,1),(7,1),(14,1)}
      11:{2,3,6}:{(7,1),(9,1),(15,1),(16,1)}
      12:{2,5}:{(8,1),(9,1)}
      13:{1,2,4,6}:{(9,1),(16,1),(17,1),(20,1)}
      14:{3,4}:{(10,1),(18,1)}
      15:{2,3,5}:{(10,1),(11,1),(12,1),(18,1),(19,1)}
      16:{1,3,6}:{(11,1),(13,1),(19,1)}
      17:{1,2,5}:{(12,1),(13,1),(19,1)}
      18:{2,4}:{(14,1),(15,1),(20,1)}
      19:{1,3,5}:{(15,1),(16,1),(17,1),(20,1)}
      20:{1,4}:{(18,1),(19,1)}

 83 :  0:{1,2,4}:{(2,1),(3,1),(4,1),(13,1)}
       1:{1,3,4}:{(2,1),(4,1),(5,1),(13,1),(24,1)}
       2:{1,3}:{(0,1),(6,1)}
       3:{1,2,5}:{(0,1),(7,1),(8,1),(9,1)}
       4:{2,4}:{(1,1),(6,1),(9,1)}
       5:{1,3,5}:{(1,1),(9,1),(10,1),(11,1),(21,1)}
       6:{2,3}:{(2,1),(4,1)}
       7:{1,3,5}:{(2,1),(3,1),(12,1),(13,1),(14,1),(26,1)}
       8:{1,2,6}:{(3,1),(14,1),(16,1)}
       9:{2,5}:{(4,1),(5,1),(16,1)}
      10:{1,4,5}:{(5,1),(13,1),(15,1),(17,1),(26,1)}
      11:{1,3,6}:{(5,1),(16,1),(17,1),(27,1)}
      12:{2,3,5}:{(6,1),(7,1),(9,1),(18,1),(19,1),(21,1),(30,1)}
      13:{1,4}:{(7,1),(18,1)}
      14:{1,3,6}:{(7,1),(8,1),(19,1),(20,1)}
      15:{2,4,5}:{(9,1),(10,1),(18,1),(21,1),(22,1),(30,1),(34,1)}
      16:{2,6}:{(9,1),(11,1)}
      17:{1,4,6}:{(10,1),(11,1),(22,1),(23,1)}
      18:{2,4}:{(12,1),(13,1),(24,1)}
      19:{2,3,6}:{(12,1),(14,1),(16,1),(25,1),(27,1)}
      20:{1,4,6}:{(13,1),(14,1),(25,1),(26,1)}
      21:{3,5}:{(15,1),(24,1),(27,1)}
      22:{2,4,6}:{(15,1),(16,1),(17,1),(27,1),(28,1),(33,1)}
      23:{1,5,6}:{(17,1),(26,1),(28,1)}
      24:{3,4}:{(18,1),(21,1)}
      25:{2,4,6}:{(18,1),(19,1),(20,1),(29,1),(30,1)}
      26:{1,5}:{(20,1),(30,1)}
      27:{3,6}:{(21,1),(22,1)}
      28:{2,5,6}:{(22,1),(23,1),(30,1),(31,1)}
      29:{3,4,6}:{(24,1),(25,1),(27,1),(32,1),(33,1)}
      30:{2,5}:{(25,1),(26,1),(32,1)}
      31:{3,5,6}:{(27,1),(28,1),(32,1),(33,1)}
      32:{3,5}:{(29,1),(30,1),(34,1)}
      33:{4,6}:{(31,1),(34,1)}
      34:{4,5}:{(32,1),(33,1)}

 84 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(13,1),(18,1),(19,1),(20,1)}
       1:{2,4,6}:{(0,1),(3,1),(5,1),(15,1)}
       2:{1,3,5}:{(0,1),(5,1),(7,1),(17,1)}
       3:{2,3,6}:{(1,1),(8,1),(9,1),(20,1)}
       4:{1,2,4,6}:{(1,1),(8,1),(10,1),(18,1)}
       5:{2,5}:{(1,1),(2,1)}
       6:{1,3,5,6}:{(2,1),(11,1),(13,1),(20,1)}
       7:{1,4,5}:{(2,1),(12,1),(13,1),(18,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1)}
       9:{2,3,5}:{(3,1),(5,1),(14,1),(15,1),(17,1)}
      10:{1,2,5}:{(4,1),(5,1),(14,1)}
      11:{2,5,6}:{(5,1),(6,1),(16,1)}
      12:{2,4,5}:{(5,1),(7,1),(15,1),(16,1),(17,1)}
      13:{1,4,6}:{(6,1),(7,1),(16,1)}
      14:{1,3,5}:{(8,1),(9,1),(10,1),(18,1)}
      15:{2,4}:{(9,1),(18,1),(19,1)}
      16:{2,4,6}:{(11,1),(12,1),(13,1),(20,1)}
      17:{3,5}:{(12,1),(19,1),(20,1)}
      18:{1,4}:{(14,1),(15,1)}
      19:{3,4}:{(15,1),(17,1)}
      20:{3,6}:{(16,1),(17,1)}

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

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

 87 :  0:{2,3,4}:{(1,1),(2,1)}
       1:{1,3,4}:{(0,1),(3,1),(4,1)}
       2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1)}
       3:{1,2,4}:{(1,1),(7,1),(8,1)}
       4:{1,3,5}:{(1,1),(2,1),(8,1),(9,1),(10,1)}
       5:{2,4,5}:{(2,1),(9,1),(11,1),(12,1)}
       6:{2,3,6}:{(2,1),(10,1),(12,1)}
       7:{1,2,3}:{(3,1)}
       8:{1,2,5}:{(3,1),(4,1),(13,1)}
       9:{1,4,5}:{(4,1),(5,1),(14,1)}
      10:{1,3,6}:{(4,1),(6,1),(13,1),(14,1)}
      11:{3,4,5}:{(5,1),(15,1)}
      12:{2,4,6}:{(5,1),(6,1),(14,1),(15,1),(16,1)}
      13:{1,2,6}:{(8,1),(10,1)}
      14:{1,4,6}:{(9,1),(10,1),(12,1),(17,1)}
      15:{3,4,6}:{(11,1),(12,1),(18,1)}
      16:{2,5,6}:{(12,1),(17,1),(18,1)}
      17:{1,5,6}:{(14,1),(16,1)}
      18:{3,5,6}:{(15,1),(16,1),(19,1)}
      19:{4,5,6}:{(18,1)}

 88 :  0:{2,3,5,6}:{(1,1),(2,1),(10,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(12,1),(13,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{1,2,5,6}:{(1,1),(7,1),(17,1)}
       4:{1,4,6}:{(1,1),(2,1),(8,1)}
       5:{2,4,5}:{(2,1),(8,1),(10,1),(17,1)}
       6:{3,4,6}:{(2,1),(10,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(11,1),(12,1),(14,1)}
       8:{1,4,5}:{(4,1),(5,1),(13,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(12,1),(13,1),(14,1),(18,1)}
      10:{3,5}:{(5,1),(6,1)}
      11:{1,2,4,5}:{(7,1),(8,1),(15,1),(17,1),(20,1)}
      12:{1,3,6}:{(7,1),(15,1),(16,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(17,1)}
      14:{2,4,6}:{(9,1),(16,1),(17,1),(20,1)}
      15:{1,3,5}:{(11,1),(12,1),(18,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(19,1)}
      17:{2,5}:{(13,1),(14,1)}
      18:{1,3,4}:{(15,1),(20,1)}
      19:{2,3,5}:{(15,1),(16,1),(17,1),(20,1)}
      20:{2,4}:{(18,1),(19,1)}

 89 :  0:{5,6}:{(4,1)}
       1:{4,5}:{(4,1),(5,1)}
       2:{3,4}:{(5,1),(6,1)}
       3:{2,3}:{(6,1),(7,1)}
       4:{4,6}:{(0,1),(1,1),(9,1)}
       5:{3,5}:{(1,1),(2,1),(9,1),(10,1)}
       6:{2,4}:{(2,1),(3,1),(10,1),(11,1)}
       7:{1,3}:{(3,1),(8,1),(11,1)}
       8:{1,2}:{(7,1)}
       9:{3,6}:{(4,1),(5,1),(12,1)}
      10:{2,5}:{(5,1),(6,1),(12,1),(13,1)}
      11:{1,4}:{(6,1),(7,1),(13,1)}
      12:{2,6}:{(9,1),(10,1),(14,1)}
      13:{1,5}:{(10,1),(11,1),(14,1)}
      14:{1,6}:{(12,1),(13,1)}

 90 :  0:{3,4,6}:{(2,1),(3,1),(15,1),(19,1),(28,1)}
       1:{2,3,6}:{(2,1),(4,1),(5,1),(28,1),(34,1)}
       2:{2,4,6}:{(0,1),(1,1),(8,1),(9,1),(12,1)}
       3:{3,5}:{(0,1),(9,1),(10,1)}
       4:{1,3,6}:{(1,1),(6,1),(8,1),(11,1)}
       5:{2,3,5}:{(1,1),(9,1),(11,1),(12,1),(24,1),(31,1),(33,1)}
       6:{1,2,6}:{(4,1),(13,1),(34,1)}
       7:{3,5,6}:{(3,1),(14,1),(15,1),(28,1)}
       8:{1,4,6}:{(2,1),(4,1),(16,1),(18,1)}
       9:{2,5}:{(2,1),(3,1),(16,1)}
      10:{4,5}:{(3,1),(15,1)}
      11:{1,3,5}:{(4,1),(5,1),(13,1),(16,1),(18,1),(26,1)}
      12:{2,4}:{(5,1),(18,1),(19,1)}
      13:{1,2,5}:{(6,1),(11,1),(20,1),(33,1)}
      14:{2,5,6}:{(7,1),(9,1),(21,1),(22,1)}
      15:{4,6}:{(7,1),(10,1)}
      16:{1,5}:{(8,1),(9,1)}
      17:{2,4,5}:{(9,1),(10,1),(12,1),(22,1),(23,1),(24,1),(33,1)}
      18:{1,4}:{(11,1),(12,1)}
      19:{3,4}:{(12,1),(24,1)}
      20:{1,2,4}:{(13,1),(18,1),(26,1),(30,1)}
      21:{1,5,6}:{(14,1),(16,1),(27,1)}
      22:{2,4,6}:{(14,1),(15,1),(17,1),(27,1),(28,1),(34,1)}
      23:{1,4,5}:{(16,1),(17,1),(18,1),(27,1),(29,1)}
      24:{3,5}:{(17,1),(19,1),(28,1)}
      25:{1,3,4}:{(18,1),(19,1),(26,1),(29,1),(30,1)}
      26:{1,3}:{(20,1),(31,1)}
      27:{1,4,6}:{(21,1),(22,1),(23,1),(32,1)}
      28:{3,6}:{(22,1),(24,1)}
      29:{1,3,5}:{(23,1),(24,1),(25,1),(32,1),(33,1)}
      30:{2,4}:{(25,1),(31,1),(33,1)}
      31:{2,3}:{(26,1),(30,1)}
      32:{1,3,6}:{(27,1),(28,1),(29,1),(34,1)}
      33:{2,5}:{(29,1),(30,1),(34,1)}
      34:{2,6}:{(32,1),(33,1)}

 91 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(7,1),(9,1),(12,1)}
       1:{2,5}:{(0,1),(4,1),(5,1)}
       2:{1,4}:{(0,1),(4,1),(13,1)}
       3:{1,3,6}:{(0,1),(5,1),(6,1),(10,1)}
       4:{2,4}:{(1,1),(2,1),(7,1)}
       5:{2,6}:{(1,1),(3,1)}
       6:{1,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       7:{3}:{(4,1)}
       8:{2,4,6}:{(4,1),(5,1),(6,1),(10,1),(11,1),(13,1)}
       9:{1,5}:{(6,1),(11,1)}
      10:{3,6}:{(7,1),(8,1),(12,1)}
      11:{2,5}:{(8,1),(9,1),(12,1)}
      12:{3,5}:{(10,1),(11,1),(13,1)}
      13:{4}:{(12,1)}

 92 :  0:{2,3,5}:{(2,1),(3,1),(4,1),(6,1),(22,1),(23,1),(33,1)}
       1:{2,4,5}:{(3,1),(5,1),(6,1),(7,1),(22,1),(23,1),(34,1)}
       2:{1,3,5}:{(0,1),(8,1),(9,1),(10,1),(27,1),(29,1)}
       3:{2,4}:{(0,1),(9,1),(11,1)}
       4:{2,3,6}:{(0,1),(10,1),(12,1),(15,1),(31,1)}
       5:{1,4,5}:{(1,1),(9,1),(13,1),(14,1),(29,1)}
       6:{3,5}:{(1,1),(11,1),(15,1)}
       7:{2,4,6}:{(1,1),(14,1),(15,1),(16,1),(31,1),(32,1)}
       8:{1,2,5}:{(2,1),(17,1),(18,1),(23,1)}
       9:{1,4}:{(2,1),(3,1)}
      10:{1,3,6}:{(2,1),(4,1),(18,1),(20,1)}
      11:{3,4}:{(3,1),(6,1)}
      12:{2,4,6}:{(3,1),(4,1),(20,1),(21,1),(22,1)}
      13:{1,3,5}:{(5,1),(6,1),(19,1),(23,1),(24,1)}
      14:{1,4,6}:{(5,1),(7,1),(24,1),(25,1)}
      15:{3,6}:{(6,1),(7,1)}
      16:{2,5,6}:{(7,1),(22,1),(25,1),(26,1)}
      17:{1,2,4}:{(8,1),(9,1),(27,1),(28,1)}
      18:{1,2,6}:{(8,1),(10,1),(31,1)}
      19:{1,3,4}:{(9,1),(11,1),(13,1),(27,1),(28,1)}
      20:{1,4,6}:{(9,1),(10,1),(12,1),(29,1)}
      21:{3,4,6}:{(11,1),(12,1),(15,1),(30,1),(32,1)}
      22:{2,5}:{(12,1),(29,1),(30,1)}
      23:{2,5}:{(13,1),(28,1),(31,1)}
      24:{1,3,6}:{(13,1),(14,1),(15,1),(31,1)}
      25:{1,5,6}:{(14,1),(16,1),(29,1)}
      26:{3,5,6}:{(15,1),(16,1),(30,1),(32,1)}
      27:{1,3}:{(17,1),(33,1)}
      28:{2,4}:{(19,1),(23,1),(33,1)}
      29:{1,5}:{(20,1),(22,1)}
      30:{3,5}:{(21,1),(22,1),(34,1)}
      31:{2,6}:{(23,1),(24,1)}
      32:{4,6}:{(26,1),(34,1)}
      33:{2,3}:{(27,1),(28,1)}
      34:{4,5}:{(30,1),(32,1)}

 93 :  0:{2,5,6}:{(2,1),(4,1),(5,1),(31,1)}
       1:{2,4,5}:{(3,1),(5,1),(6,1),(15,1),(16,1),(18,1),(31,1)}
       2:{1,5,6}:{(0,1),(7,1),(34,1)}
       3:{1,4,5}:{(1,1),(7,1),(8,1),(26,1),(34,1)}
       4:{3,5,6}:{(0,1),(9,1),(11,1),(24,1)}
       5:{2,4,6}:{(0,1),(1,1),(7,1),(9,1),(11,1),(22,1)}
       6:{3,5}:{(1,1),(10,1),(11,1)}
       7:{1,4,6}:{(2,1),(3,1),(5,1),(14,1)}
       8:{1,3,5}:{(3,1),(6,1),(13,1),(14,1),(15,1)}
       9:{4,6}:{(4,1),(16,1)}
      10:{3,4}:{(6,1),(18,1)}
      11:{3,6}:{(5,1),(6,1)}
      12:{2,3,5}:{(6,1),(15,1),(18,1),(19,1),(20,1),(28,1),(31,1)}
      13:{1,3,4}:{(8,1),(10,1),(21,1),(26,1),(33,1)}
      14:{1,3,6}:{(7,1),(8,1),(11,1),(22,1)}
      15:{2,5}:{(8,1),(21,1),(22,1)}
      16:{4,5}:{(9,1),(24,1)}
      17:{3,4,6}:{(9,1),(10,1),(11,1),(24,1),(25,1)}
      18:{2,4}:{(10,1),(12,1),(26,1)}
      19:{2,3,6}:{(11,1),(12,1),(22,1),(25,1),(27,1)}
      20:{1,3,5}:{(12,1),(23,1),(26,1),(27,1),(33,1),(34,1)}
      21:{2,4}:{(13,1),(15,1),(28,1)}
      22:{2,6}:{(14,1),(15,1)}
      23:{1,2,5}:{(15,1),(20,1),(29,1),(30,1)}
      24:{3,5}:{(16,1),(17,1),(31,1)}
      25:{2,4,6}:{(17,1),(18,1),(19,1),(31,1),(32,1)}
      26:{1,4}:{(18,1),(20,1)}
      27:{1,3,6}:{(19,1),(20,1),(30,1),(32,1)}
      28:{2,3}:{(21,1),(33,1)}
      29:{1,2,4}:{(21,1),(23,1),(26,1),(33,1)}
      30:{1,2,6}:{(22,1),(23,1),(27,1)}
      31:{2,5}:{(24,1),(25,1),(34,1)}
      32:{1,4,6}:{(25,1),(26,1),(27,1),(34,1)}
      33:{1,3}:{(28,1),(29,1)}
      34:{1,5}:{(31,1),(32,1)}

 94 :  0:{3,4,5}:{(1,1),(2,1)}
       1:{2,4,5}:{(0,1),(3,1),(4,1),(5,1)}
       2:{3,4,6}:{(0,1),(5,1),(6,1)}
       3:{2,3,5}:{(1,1),(7,1),(8,1),(9,1)}
       4:{1,4,5}:{(1,1),(8,1),(10,1)}
       5:{2,4,6}:{(1,1),(2,1),(9,1),(10,1),(11,1)}
       6:{3,5,6}:{(2,1),(11,1),(12,1)}
       7:{2,3,4}:{(3,1),(13,1)}
       8:{1,3,5}:{(3,1),(4,1),(13,1),(14,1),(15,1)}
       9:{2,3,6}:{(3,1),(5,1),(15,1)}
      10:{1,4,6}:{(4,1),(5,1),(15,1),(16,1)}
      11:{2,5,6}:{(5,1),(6,1),(16,1)}
      12:{4,5,6}:{(6,1)}
      13:{1,3,4}:{(7,1),(8,1),(17,1)}
      14:{1,2,5}:{(8,1),(17,1),(18,1)}
      15:{1,3,6}:{(8,1),(9,1),(10,1),(18,1)}
      16:{1,5,6}:{(10,1),(11,1)}
      17:{1,2,4}:{(13,1),(14,1),(19,1)}
      18:{1,2,6}:{(14,1),(15,1)}
      19:{1,2,3}:{(17,1)}

 95 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(7,1),(9,1),(12,1)}
       1:{1,4,6}:{(0,1),(4,1),(5,1),(11,1)}
       2:{3,6}:{(0,1),(6,1),(13,1)}
       3:{2,5}:{(0,1),(5,1),(6,1)}
       4:{1,3,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{1,5}:{(1,1),(3,1)}
       6:{3,5}:{(2,1),(3,1),(9,1)}
       7:{2,6}:{(4,1),(10,1)}
       8:{1,3,5}:{(4,1),(5,1),(6,1),(10,1),(11,1),(13,1)}
       9:{4}:{(6,1)}
      10:{2,5}:{(7,1),(8,1),(12,1)}
      11:{1,4}:{(8,1),(9,1),(12,1)}
      12:{2,4}:{(10,1),(11,1),(13,1)}
      13:{3}:{(12,1)}

 96 :  0:{3,4,6}:{(2,1),(3,1),(5,1),(17,1),(26,1)}
       1:{3,5,6}:{(3,1),(4,1),(5,1),(17,1)}
       2:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(20,1)}
       3:{3,5}:{(0,1),(8,1),(9,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1),(11,1)}
       5:{4,6}:{(1,1),(9,1)}
       6:{2,3,6}:{(2,1),(12,1),(13,1),(17,1),(28,1)}
       7:{1,4,6}:{(2,1),(12,1),(14,1),(25,1)}
       8:{2,5}:{(2,1),(3,1),(14,1)}
       9:{4,5}:{(3,1),(5,1)}
      10:{1,5,6}:{(4,1),(14,1),(16,1)}
      11:{2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(28,1)}
      12:{1,3,6}:{(6,1),(7,1),(18,1),(19,1)}
      13:{2,3,5}:{(6,1),(8,1),(19,1),(20,1),(22,1),(31,1),(34,1)}
      14:{1,5}:{(7,1),(8,1)}
      15:{2,4,5}:{(8,1),(9,1),(11,1),(20,1),(21,1),(22,1),(31,1)}
      16:{1,4,6}:{(10,1),(11,1),(21,1),(23,1)}
      17:{3,6}:{(11,1),(22,1)}
      18:{1,2,6}:{(12,1),(24,1),(28,1)}
      19:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1),(32,1)}
      20:{2,4}:{(13,1),(25,1),(26,1)}
      21:{1,4,5}:{(14,1),(15,1),(16,1),(25,1),(27,1)}
      22:{3,5}:{(15,1),(17,1),(26,1)}
      23:{1,3,6}:{(16,1),(17,1),(27,1),(28,1)}
      24:{1,2,5}:{(18,1),(19,1),(29,1),(31,1)}
      25:{1,4}:{(19,1),(20,1)}
      26:{3,4}:{(20,1),(22,1)}
      27:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1)}
      28:{2,6}:{(23,1),(31,1)}
      29:{1,2,4}:{(24,1),(25,1),(32,1),(33,1)}
      30:{1,3,4}:{(25,1),(26,1),(27,1),(32,1),(33,1)}
      31:{2,5}:{(27,1),(28,1),(33,1)}
      32:{1,3}:{(29,1),(34,1)}
      33:{2,4}:{(30,1),(31,1),(34,1)}
      34:{2,3}:{(32,1),(33,1)}

 97 :  0:{4,5,6}:{(1,1)}
       1:{3,5,6}:{(0,1),(2,1),(3,1)}
       2:{3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,5,6}:{(1,1),(5,1),(6,1)}
       4:{3,4,5}:{(2,1),(7,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
       6:{1,5,6}:{(3,1),(9,1)}
       7:{2,4,5}:{(4,1),(5,1),(10,1),(11,1)}
       8:{2,3,6}:{(5,1),(10,1),(12,1)}
       9:{1,4,6}:{(5,1),(6,1),(11,1),(12,1)}
      10:{2,3,5}:{(7,1),(8,1),(13,1),(14,1)}
      11:{1,4,5}:{(7,1),(9,1),(14,1)}
      12:{1,3,6}:{(8,1),(9,1),(14,1),(15,1)}
      13:{2,3,4}:{(10,1),(16,1)}
      14:{1,3,5}:{(10,1),(11,1),(12,1),(16,1),(17,1)}
      15:{1,2,6}:{(12,1),(17,1)}
      16:{1,3,4}:{(13,1),(14,1),(18,1)}
      17:{1,2,5}:{(14,1),(15,1),(18,1)}
      18:{1,2,4}:{(16,1),(17,1),(19,1)}
      19:{1,2,3}:{(18,1)}

 98 :  0:{1,2,3,5}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,2,4}:{(0,1),(4,1)}
       2:{1,2,3,6}:{(0,1),(5,1),(13,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1),(10,1),(17,1),(22,1)}
       4:{1,3,4}:{(1,1),(6,1),(8,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1)}
       6:{1,3,5}:{(3,1),(4,1),(12,1),(13,1)}
       7:{1,2,4,6}:{(3,1),(13,1),(14,1),(23,1),(26,1)}
       8:{2,3,4}:{(4,1),(12,1)}
       9:{1,3,4,6}:{(4,1),(5,1),(13,1),(15,1),(16,1),(26,1)}
      10:{1,2,5}:{(5,1),(16,1)}
      11:{1,3,4,5}:{(6,1),(17,1),(18,1),(22,1),(31,1)}
      12:{2,3,5}:{(6,1),(8,1),(17,1),(19,1)}
      13:{1,3,6}:{(6,1),(7,1),(19,1)}
      14:{1,2,5,6}:{(7,1),(10,1),(20,1),(28,1)}
      15:{2,3,4,6}:{(8,1),(9,1),(19,1),(21,1),(30,1)}
      16:{1,3,5}:{(9,1),(10,1),(21,1),(22,1)}
      17:{2,4,5}:{(11,1),(12,1),(23,1)}
      18:{1,3,4,6}:{(11,1),(13,1),(23,1),(24,1),(26,1),(33,1)}
      19:{2,3,6}:{(12,1),(13,1),(23,1)}
      20:{1,3,5,6}:{(13,1),(14,1),(16,1),(25,1),(26,1)}
      21:{2,3,5}:{(15,1),(16,1),(27,1)}
      22:{1,4,5}:{(16,1),(26,1),(27,1)}
      23:{2,4,6}:{(17,1),(18,1),(19,1),(28,1)}
      24:{1,3,5,6}:{(18,1),(28,1),(29,1),(34,1)}
      25:{2,3,5,6}:{(19,1),(20,1),(21,1),(28,1),(30,1),(34,1)}
      26:{1,4,6}:{(20,1),(22,1),(30,1)}
      27:{2,4,5}:{(21,1),(22,1),(30,1),(31,1)}
      28:{2,5,6}:{(23,1),(24,1)}
      29:{1,4,5,6}:{(24,1),(26,1),(32,1)}
      30:{2,4,6}:{(25,1),(26,1),(27,1),(33,1)}
      31:{3,4,5}:{(27,1),(33,1)}
      32:{2,4,5,6}:{(28,1),(29,1),(30,1),(34,1)}
      33:{3,4,6}:{(30,1),(31,1),(34,1)}
      34:{3,5,6}:{(32,1),(33,1)}

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

100 :  0:{1,2,3}:{(2,1)}
       1:{2,3,4}:{(3,1),(4,1)}
       2:{1,2,4}:{(0,1),(3,1),(5,1)}
       3:{1,3,4}:{(1,1),(2,1),(6,1)}
       4:{2,3,5}:{(1,1),(6,1),(7,1),(8,1)}
       5:{1,2,5}:{(2,1),(6,1),(9,1)}
       6:{1,3,5}:{(3,1),(4,1),(5,1),(10,1),(11,1)}
       7:{2,4,5}:{(4,1),(10,1),(12,1),(13,1)}
       8:{2,3,6}:{(4,1),(11,1),(13,1)}
       9:{1,2,6}:{(5,1),(11,1)}
      10:{1,4,5}:{(6,1),(7,1),(14,1)}
      11:{1,3,6}:{(6,1),(8,1),(9,1),(14,1)}
      12:{3,4,5}:{(7,1),(15,1)}
      13:{2,4,6}:{(7,1),(8,1),(14,1),(15,1),(16,1)}
      14:{1,4,6}:{(10,1),(11,1),(13,1),(17,1)}
      15:{3,4,6}:{(12,1),(13,1),(18,1)}
      16:{2,5,6}:{(13,1),(17,1),(18,1)}
      17:{1,5,6}:{(14,1),(16,1)}
      18:{3,5,6}:{(15,1),(16,1),(19,1)}
      19:{4,5,6}:{(18,1)}

101 :  0:{1,2,5,6}:{(2,1),(3,1),(20,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(11,1),(13,1),(20,1)}
       2:{1,3,5,6}:{(0,1),(5,1),(6,1),(8,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(6,1),(8,1),(18,1)}
       4:{1,3,5}:{(1,1),(7,1),(8,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(10,1),(14,1),(19,1),(20,1)}
       6:{1,4,6}:{(2,1),(10,1),(11,1)}
       7:{1,3,4}:{(4,1),(13,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1)}
       9:{2,3,5}:{(4,1),(13,1),(14,1),(20,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{1,4,5}:{(6,1),(15,1),(17,1)}
      12:{1,3,4,6}:{(6,1),(7,1),(8,1),(16,1),(17,1),(18,1)}
      13:{2,4}:{(7,1),(9,1)}
      14:{2,3,6}:{(8,1),(9,1),(18,1)}
      15:{2,4,5}:{(10,1),(11,1),(19,1),(20,1)}
      16:{3,4,6}:{(10,1),(19,1)}
      17:{1,3,5}:{(11,1),(12,1),(19,1),(20,1)}
      18:{2,4,6}:{(12,1),(13,1),(14,1),(20,1)}
      19:{3,5}:{(15,1),(16,1)}
      20:{2,5}:{(17,1),(18,1)}

102 :  0:{2,3,4}:{(1,1),(2,1)}
       1:{1,3,4}:{(0,1),(4,1),(5,1)}
       2:{2,3,5}:{(0,1),(5,1),(6,1),(7,1)}
       3:{1,2,3}:{(4,1)}
       4:{1,2,4}:{(1,1),(3,1),(8,1)}
       5:{1,3,5}:{(1,1),(2,1),(8,1),(9,1),(10,1)}
       6:{2,4,5}:{(2,1),(9,1),(11,1),(12,1)}
       7:{2,3,6}:{(2,1),(10,1),(12,1)}
       8:{1,2,5}:{(4,1),(5,1),(13,1)}
       9:{1,4,5}:{(5,1),(6,1),(14,1)}
      10:{1,3,6}:{(5,1),(7,1),(13,1),(14,1)}
      11:{3,4,5}:{(6,1),(15,1)}
      12:{2,4,6}:{(6,1),(7,1),(14,1),(15,1),(16,1)}
      13:{1,2,6}:{(8,1),(10,1)}
      14:{1,4,6}:{(9,1),(10,1),(12,1),(17,1)}
      15:{3,4,6}:{(11,1),(12,1),(18,1)}
      16:{2,5,6}:{(12,1),(17,1),(18,1)}
      17:{1,5,6}:{(14,1),(16,1)}
      18:{3,5,6}:{(15,1),(16,1),(19,1)}
      19:{4,5,6}:{(18,1)}

103 :  0:{2,3,5,6}:{(2,1),(3,1),(12,1),(14,1),(19,1)}
       1:{1,2,5,6}:{(2,1),(4,1),(19,1)}
       2:{1,3,5,6}:{(0,1),(1,1),(5,1),(9,1),(15,1)}
       3:{2,4,6}:{(0,1),(5,1),(6,1),(7,1)}
       4:{1,2,4,6}:{(1,1),(5,1),(8,1),(9,1),(16,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{2,4,5}:{(3,1),(10,1),(12,1),(19,1)}
       7:{3,4,6}:{(3,1),(12,1)}
       8:{1,2,4,5}:{(4,1),(10,1),(13,1),(19,1),(20,1)}
       9:{1,3,6}:{(4,1),(13,1),(14,1)}
      10:{1,4,5}:{(5,1),(6,1),(15,1)}
      11:{1,3,4,6}:{(5,1),(7,1),(9,1),(15,1),(16,1),(17,1)}
      12:{3,5}:{(6,1),(7,1)}
      13:{1,3,5}:{(8,1),(9,1),(17,1),(18,1)}
      14:{2,3,6}:{(9,1),(16,1),(18,1)}
      15:{1,3,5}:{(10,1),(11,1),(12,1),(19,1)}
      16:{2,4,6}:{(11,1),(14,1),(19,1),(20,1)}
      17:{1,3,4}:{(13,1),(20,1)}
      18:{2,3,5}:{(13,1),(14,1),(19,1),(20,1)}
      19:{2,5}:{(15,1),(16,1)}
      20:{2,4}:{(17,1),(18,1)}

104 :  0:{5,6}:{(5,1)}
       1:{4,5}:{(5,1),(6,1)}
       2:{3,4}:{(6,1),(7,1)}
       3:{2,3}:{(7,1),(8,1)}
       4:{1,2}:{(8,1)}
       5:{4,6}:{(0,1),(1,1),(9,1)}
       6:{3,5}:{(1,1),(2,1),(9,1),(10,1)}
       7:{2,4}:{(2,1),(3,1),(10,1),(11,1)}
       8:{1,3}:{(3,1),(4,1),(11,1)}
       9:{3,6}:{(5,1),(6,1),(12,1)}
      10:{2,5}:{(6,1),(7,1),(12,1),(13,1)}
      11:{1,4}:{(7,1),(8,1),(13,1)}
      12:{2,6}:{(9,1),(10,1),(14,1)}
      13:{1,5}:{(10,1),(11,1),(14,1)}
      14:{1,6}:{(12,1),(13,1)}

105 :  0:{3,4,6}:{(3,1),(4,1),(16,1),(20,1),(29,1)}
       1:{2,3,6}:{(3,1),(5,1),(6,1),(29,1),(34,1)}
       2:{1,2,6}:{(5,1),(7,1),(34,1)}
       3:{2,4,6}:{(0,1),(1,1),(9,1),(10,1),(13,1)}
       4:{3,5}:{(0,1),(10,1),(11,1)}
       5:{1,3,6}:{(1,1),(2,1),(9,1),(12,1)}
       6:{2,3,5}:{(1,1),(10,1),(12,1),(13,1),(25,1),(27,1),(33,1)}
       7:{1,2,5}:{(2,1),(12,1),(14,1),(33,1)}
       8:{3,5,6}:{(4,1),(15,1),(16,1),(29,1)}
       9:{1,4,6}:{(3,1),(5,1),(17,1),(19,1)}
      10:{2,5}:{(3,1),(4,1),(17,1)}
      11:{4,5}:{(4,1),(16,1)}
      12:{1,3,5}:{(5,1),(6,1),(7,1),(17,1),(19,1),(21,1)}
      13:{2,4}:{(6,1),(19,1),(20,1)}
      14:{1,2,4}:{(7,1),(19,1),(21,1),(31,1)}
      15:{2,5,6}:{(8,1),(10,1),(22,1),(23,1)}
      16:{4,6}:{(8,1),(11,1)}
      17:{1,5}:{(9,1),(10,1)}
      18:{2,4,5}:{(10,1),(11,1),(13,1),(23,1),(24,1),(25,1),(33,1)}
      19:{1,4}:{(12,1),(13,1)}
      20:{3,4}:{(13,1),(25,1)}
      21:{1,3}:{(14,1),(27,1)}
      22:{1,5,6}:{(15,1),(17,1),(28,1)}
      23:{2,4,6}:{(15,1),(16,1),(18,1),(28,1),(29,1),(34,1)}
      24:{1,4,5}:{(17,1),(18,1),(19,1),(28,1),(30,1)}
      25:{3,5}:{(18,1),(20,1),(29,1)}
      26:{1,3,4}:{(19,1),(20,1),(21,1),(30,1),(31,1)}
      27:{2,3}:{(21,1),(31,1)}
      28:{1,4,6}:{(22,1),(23,1),(24,1),(32,1)}
      29:{3,6}:{(23,1),(25,1)}
      30:{1,3,5}:{(24,1),(25,1),(26,1),(32,1),(33,1)}
      31:{2,4}:{(26,1),(27,1),(33,1)}
      32:{1,3,6}:{(28,1),(29,1),(30,1),(34,1)}
      33:{2,5}:{(30,1),(31,1),(34,1)}
      34:{2,6}:{(32,1),(33,1)}

106 :  0:{1,2,4,5}:{(1,1),(2,1),(7,1),(15,1),(16,1)}
       1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1)}
       2:{1,2,4,6}:{(0,1),(5,1),(6,1),(11,1),(14,1)}
       3:{1,3,4}:{(1,1),(7,1)}
       4:{2,3,5}:{(1,1),(7,1),(9,1),(15,1)}
       5:{1,3,6}:{(1,1),(2,1),(9,1)}
       6:{1,2,5,6}:{(2,1),(10,1),(15,1)}
       7:{2,4}:{(3,1),(4,1)}
       8:{1,3,4,6}:{(3,1),(5,1),(11,1),(12,1),(14,1),(19,1)}
       9:{2,3,6}:{(4,1),(5,1),(11,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(12,1),(13,1),(14,1)}
      11:{2,4,6}:{(7,1),(8,1),(9,1),(15,1)}
      12:{1,3,5}:{(8,1),(15,1),(16,1),(20,1)}
      13:{2,3,5,6}:{(9,1),(10,1),(15,1),(17,1),(20,1)}
      14:{1,4,6}:{(10,1),(16,1),(17,1)}
      15:{2,5}:{(11,1),(12,1)}
      16:{1,4,5}:{(12,1),(14,1),(18,1)}
      17:{2,4,6}:{(13,1),(14,1),(18,1),(19,1)}
      18:{2,4,5}:{(15,1),(16,1),(17,1),(20,1)}
      19:{3,4,6}:{(17,1),(20,1)}
      20:{3,5}:{(18,1),(19,1)}

107 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(9,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1)}
       2:{1,2,5}:{(0,1),(5,1),(11,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(9,1),(15,1),(17,1),(20,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(20,1)}
       5:{1,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       6:{2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
       7:{1,3,5}:{(3,1),(11,1),(12,1),(19,1)}
       8:{2,3,5}:{(4,1),(5,1),(11,1),(13,1),(19,1)}
       9:{1,4}:{(5,1),(13,1)}
      10:{1,3,5,6}:{(7,1),(14,1),(15,1),(20,1)}
      11:{2,5}:{(6,1),(7,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(16,1)}
      13:{2,4}:{(8,1),(9,1),(17,1)}
      14:{2,5,6}:{(10,1),(11,1),(18,1)}
      15:{1,4,6}:{(10,1),(12,1),(18,1)}
      16:{2,4,5}:{(11,1),(12,1),(13,1),(18,1),(19,1)}
      17:{3,4}:{(13,1),(19,1)}
      18:{2,4,6}:{(14,1),(15,1),(16,1),(20,1)}
      19:{3,5}:{(16,1),(17,1),(20,1)}
      20:{3,6}:{(18,1),(19,1)}

108 :  0:{1,3,4,5}:{(1,1),(2,1),(8,1),(33,1),(34,1)}
       1:{2,4,5}:{(0,1),(3,1),(5,1)}
       2:{1,3,4,6}:{(0,1),(5,1),(6,1),(16,1),(30,1),(31,1)}
       3:{2,3,5}:{(1,1),(7,1),(8,1),(9,1)}
       4:{1,2,4,5}:{(1,1),(8,1),(10,1),(20,1),(32,1),(33,1)}
       5:{2,4,6}:{(1,1),(2,1),(9,1),(11,1)}
       6:{1,3,5,6}:{(2,1),(11,1),(12,1),(26,1)}
       7:{2,3,4}:{(3,1),(13,1)}
       8:{1,3,5}:{(3,1),(4,1),(13,1),(16,1)}
       9:{2,3,6}:{(3,1),(5,1),(16,1)}
      10:{1,2,4,6}:{(4,1),(5,1),(16,1),(18,1),(30,1)}
      11:{2,5,6}:{(5,1),(6,1)}
      12:{1,4,5,6}:{(6,1),(19,1),(30,1)}
      13:{1,3,4}:{(7,1),(8,1),(20,1)}
      14:{2,3,4,6}:{(7,1),(9,1),(21,1),(22,1),(25,1)}
      15:{1,2,3,5}:{(8,1),(20,1),(23,1),(32,1)}
      16:{1,3,6}:{(8,1),(9,1),(10,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(22,1),(24,1),(25,1),(26,1)}
      18:{1,2,5,6}:{(10,1),(11,1),(24,1),(32,1)}
      19:{2,4,5,6}:{(11,1),(12,1),(25,1),(26,1)}
      20:{1,2,4}:{(13,1),(15,1)}
      21:{1,3,4,6}:{(13,1),(14,1),(16,1),(27,1),(28,1),(30,1)}
      22:{2,3,5}:{(14,1),(28,1),(29,1)}
      23:{1,2,3,6}:{(15,1),(16,1),(27,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(18,1),(28,1),(30,1)}
      25:{2,4,6}:{(17,1),(29,1),(30,1),(31,1)}
      26:{3,5,6}:{(19,1),(31,1)}
      27:{1,2,4,6}:{(20,1),(21,1),(23,1),(32,1)}
      28:{1,3,5}:{(21,1),(22,1),(32,1),(33,1)}
      29:{2,4,5}:{(22,1),(25,1),(33,1),(34,1)}
      30:{1,4,6}:{(24,1),(25,1),(33,1)}
      31:{3,4,6}:{(25,1),(26,1),(34,1)}
      32:{1,2,5}:{(27,1),(28,1)}
      33:{1,4,5}:{(28,1),(29,1),(30,1)}
      34:{3,4,5}:{(29,1),(31,1)}

109 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(11,1),(15,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(15,1)}
       2:{2,4,6}:{(0,1),(6,1),(8,1),(17,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(18,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1)}
       5:{1,4,6}:{(1,1),(9,1),(10,1)}
       6:{2,3,6}:{(2,1),(11,1),(12,1),(15,1)}
       7:{1,2,4,6}:{(2,1),(11,1),(13,1),(19,1)}
       8:{2,5}:{(2,1),(3,1)}
       9:{1,4,5}:{(3,1),(5,1),(14,1),(19,1)}
      10:{2,4,6}:{(4,1),(5,1),(14,1),(15,1)}
      11:{1,3,6}:{(6,1),(7,1),(16,1)}
      12:{2,3,5}:{(6,1),(8,1),(16,1),(17,1),(18,1)}
      13:{1,2,5}:{(7,1),(8,1),(16,1)}
      14:{2,4,5}:{(8,1),(9,1),(10,1),(17,1),(18,1)}
      15:{3,6}:{(10,1),(18,1)}
      16:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      17:{2,4}:{(12,1),(19,1),(20,1)}
      18:{3,5}:{(14,1),(15,1),(20,1)}
      19:{1,4}:{(16,1),(17,1)}
      20:{3,4}:{(17,1),(18,1)}

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

111 :  0:{1,2,4,6}:{(2,1),(3,1),(4,1),(12,1)}
       1:{1,3,4,6}:{(2,1),(4,1),(5,1),(12,1),(15,1),(19,1),(20,1)}
       2:{1,3,6}:{(0,1),(6,1),(7,1)}
       3:{1,2,5}:{(0,1),(7,1),(8,1)}
       4:{2,4,6}:{(1,1),(6,1),(8,1),(16,1)}
       5:{1,3,5}:{(1,1),(8,1),(10,1),(18,1)}
       6:{2,3,6}:{(2,1),(4,1),(11,1),(20,1)}
       7:{1,3,5}:{(2,1),(3,1),(11,1),(12,1)}
       8:{2,5}:{(4,1),(5,1)}
       9:{1,3,5,6}:{(5,1),(13,1),(15,1),(20,1)}
      10:{1,4,5}:{(5,1),(12,1),(14,1),(15,1)}
      11:{2,3,5}:{(6,1),(7,1),(8,1),(16,1),(18,1)}
      12:{1,4}:{(7,1),(16,1)}
      13:{2,5,6}:{(8,1),(9,1),(17,1)}
      14:{2,4,5}:{(8,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,4,6}:{(9,1),(10,1),(17,1)}
      16:{2,4}:{(11,1),(12,1),(19,1)}
      17:{2,4,6}:{(13,1),(14,1),(15,1),(20,1)}
      18:{3,5}:{(14,1),(19,1),(20,1)}
      19:{3,4}:{(16,1),(18,1)}
      20:{3,6}:{(17,1),(18,1)}

112 :  0:{1,5,6}:{(3,1),(5,1),(34,1)}
       1:{1,4,5}:{(4,1),(5,1),(6,1),(30,1),(34,1)}
       2:{1,3,4}:{(6,1),(7,1),(16,1),(19,1),(30,1)}
       3:{2,5,6}:{(0,1),(8,1),(9,1),(32,1)}
       4:{2,4,5}:{(1,1),(9,1),(10,1),(13,1),(22,1),(24,1),(32,1)}
       5:{1,4,6}:{(0,1),(1,1),(9,1),(12,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(13,1)}
       7:{2,4}:{(2,1),(11,1),(13,1)}
       8:{3,5,6}:{(3,1),(15,1),(17,1),(28,1)}
       9:{2,4,6}:{(3,1),(4,1),(5,1),(15,1),(17,1),(20,1)}
      10:{3,5}:{(4,1),(16,1),(17,1)}
      11:{2,3}:{(7,1),(19,1)}
      12:{1,3,6}:{(5,1),(6,1),(17,1),(20,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{1,2,4}:{(7,1),(19,1),(21,1),(30,1)}
      15:{4,6}:{(8,1),(22,1)}
      16:{3,4}:{(10,1),(24,1)}
      17:{3,6}:{(9,1),(10,1)}
      18:{2,3,5}:{(10,1),(11,1),(13,1),(24,1),(25,1),(26,1),(32,1)}
      19:{1,3}:{(11,1),(14,1)}
      20:{2,6}:{(12,1),(13,1)}
      21:{1,2,5}:{(13,1),(14,1),(26,1),(27,1)}
      22:{4,5}:{(15,1),(28,1)}
      23:{3,4,6}:{(15,1),(16,1),(17,1),(28,1),(29,1)}
      24:{2,4}:{(16,1),(18,1),(30,1)}
      25:{2,3,6}:{(17,1),(18,1),(20,1),(29,1),(31,1)}
      26:{1,3,5}:{(18,1),(19,1),(21,1),(30,1),(31,1),(34,1)}
      27:{1,2,6}:{(20,1),(21,1),(31,1)}
      28:{3,5}:{(22,1),(23,1),(32,1)}
      29:{2,4,6}:{(23,1),(24,1),(25,1),(32,1),(33,1)}
      30:{1,4}:{(24,1),(26,1)}
      31:{1,3,6}:{(25,1),(26,1),(27,1),(33,1)}
      32:{2,5}:{(28,1),(29,1),(34,1)}
      33:{1,4,6}:{(29,1),(30,1),(31,1),(34,1)}
      34:{1,5}:{(32,1),(33,1)}

113 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(11,1),(18,1),(19,1),(20,1)}
       1:{2,4,6}:{(0,1),(3,1),(6,1),(15,1)}
       2:{1,3,5}:{(0,1),(6,1),(7,1),(17,1)}
       3:{2,3,6}:{(1,1),(8,1),(9,1),(20,1)}
       4:{1,3,5,6}:{(2,1),(10,1),(11,1),(20,1)}
       5:{1,2,4,6}:{(1,1),(8,1),(12,1),(18,1)}
       6:{2,5}:{(1,1),(2,1)}
       7:{1,4,5}:{(2,1),(11,1),(13,1),(18,1)}
       8:{1,3,6}:{(3,1),(5,1),(14,1)}
       9:{2,3,5}:{(3,1),(6,1),(14,1),(15,1),(17,1)}
      10:{2,5,6}:{(4,1),(6,1),(16,1)}
      11:{1,4,6}:{(4,1),(7,1),(16,1)}
      12:{1,2,5}:{(5,1),(6,1),(14,1)}
      13:{2,4,5}:{(6,1),(7,1),(15,1),(16,1),(17,1)}
      14:{1,3,5}:{(8,1),(9,1),(12,1),(18,1)}
      15:{2,4}:{(9,1),(18,1),(19,1)}
      16:{2,4,6}:{(10,1),(11,1),(13,1),(20,1)}
      17:{3,5}:{(13,1),(19,1),(20,1)}
      18:{1,4}:{(14,1),(15,1)}
      19:{3,4}:{(15,1),(17,1)}
      20:{3,6}:{(16,1),(17,1)}

114 :  0:{1,3,5,6}:{(1,1),(2,1),(7,1),(8,1)}
       1:{2,5,6}:{(0,1),(3,1),(12,1)}
       2:{1,4,6}:{(0,1),(3,1),(4,1)}
       3:{2,4,6}:{(1,1),(2,1),(6,1),(7,1)}
       4:{1,4,5}:{(2,1),(6,1),(8,1),(20,1)}
       5:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(14,1),(16,1),(20,1)}
       6:{2,4,5}:{(3,1),(4,1),(10,1),(12,1),(18,1)}
       7:{3,6}:{(3,1),(10,1)}
       8:{1,3,5}:{(4,1),(5,1),(10,1),(12,1)}
       9:{2,4,6}:{(5,1),(11,1),(12,1),(18,1)}
      10:{3,5}:{(6,1),(7,1),(14,1)}
      11:{2,3,6}:{(7,1),(9,1),(15,1),(16,1)}
      12:{2,5}:{(8,1),(9,1)}
      13:{1,2,4,6}:{(9,1),(16,1),(17,1),(20,1)}
      14:{3,4}:{(10,1),(18,1)}
      15:{2,3,5}:{(10,1),(11,1),(12,1),(18,1),(19,1)}
      16:{1,3,6}:{(11,1),(13,1),(19,1)}
      17:{1,2,5}:{(12,1),(13,1),(19,1)}
      18:{2,4}:{(14,1),(15,1),(20,1)}
      19:{1,3,5}:{(15,1),(16,1),(17,1),(20,1)}
      20:{1,4}:{(18,1),(19,1)}

115 :  0:{2,3,4,6}:{(1,1),(2,1),(11,1),(32,1),(33,1)}
       1:{1,3,4,6}:{(0,1),(3,1),(4,1),(16,1),(27,1),(28,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1)}
       3:{1,2,4,6}:{(1,1),(7,1),(8,1),(20,1)}
       4:{1,3,5}:{(1,1),(2,1),(8,1),(10,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(11,1),(26,1),(33,1),(34,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1),(12,1)}
       7:{1,2,3,6}:{(3,1),(13,1),(28,1)}
       8:{1,2,5}:{(3,1),(4,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(16,1),(28,1)}
      10:{1,4,5}:{(4,1),(6,1),(16,1)}
      11:{2,4,6}:{(5,1),(6,1),(16,1),(19,1)}
      12:{3,4,5}:{(6,1),(19,1)}
      13:{1,2,3,5}:{(7,1),(8,1),(20,1),(22,1)}
      14:{1,2,5,6}:{(8,1),(9,1),(21,1),(34,1)}
      15:{1,2,4,5}:{(8,1),(10,1),(20,1),(21,1),(22,1),(25,1)}
      16:{1,4,6}:{(9,1),(10,1),(11,1)}
      17:{1,3,4,5}:{(10,1),(12,1),(22,1),(24,1),(25,1)}
      18:{2,4,5,6}:{(11,1),(23,1),(26,1),(34,1)}
      19:{3,4,6}:{(11,1),(12,1),(26,1)}
      20:{1,2,4}:{(13,1),(27,1)}
      21:{1,2,4,6}:{(14,1),(15,1),(16,1),(28,1),(31,1)}
      22:{1,3,5}:{(15,1),(27,1),(28,1),(29,1)}
      23:{1,4,5,6}:{(16,1),(18,1),(30,1)}
      24:{1,3,4,6}:{(16,1),(17,1),(19,1),(28,1),(30,1),(31,1)}
      25:{2,4,5}:{(17,1),(29,1),(31,1)}
      26:{3,5,6}:{(18,1),(19,1)}
      27:{1,3,4}:{(20,1),(22,1),(32,1)}
      28:{1,3,6}:{(21,1),(22,1),(33,1)}
      29:{2,3,5}:{(22,1),(25,1),(32,1),(33,1)}
      30:{1,3,5,6}:{(23,1),(24,1),(26,1),(34,1)}
      31:{2,4,6}:{(24,1),(25,1),(33,1),(34,1)}
      32:{2,3,4}:{(27,1),(29,1)}
      33:{2,3,6}:{(28,1),(29,1),(31,1)}
      34:{2,5,6}:{(30,1),(31,1)}

116 :  0:{2,3,4}:{(2,1),(3,1)}
       1:{3,4,5}:{(5,1),(6,1)}
       2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1)}
       3:{1,3,4}:{(0,1),(4,1),(7,1)}
       4:{1,2,4}:{(3,1),(9,1),(10,1)}
       5:{2,4,5}:{(1,1),(2,1),(11,1),(12,1)}
       6:{3,4,6}:{(1,1),(12,1),(13,1)}
       7:{1,3,5}:{(2,1),(3,1),(10,1),(11,1),(14,1)}
       8:{2,3,6}:{(2,1),(12,1),(14,1)}
       9:{1,2,3}:{(4,1)}
      10:{1,2,5}:{(4,1),(7,1),(15,1)}
      11:{1,4,5}:{(5,1),(7,1),(16,1)}
      12:{2,4,6}:{(5,1),(6,1),(8,1),(16,1),(17,1)}
      13:{3,5,6}:{(6,1),(17,1),(18,1)}
      14:{1,3,6}:{(7,1),(8,1),(15,1),(16,1)}
      15:{1,2,6}:{(10,1),(14,1)}
      16:{1,4,6}:{(11,1),(12,1),(14,1),(19,1)}
      17:{2,5,6}:{(12,1),(13,1),(19,1)}
      18:{4,5,6}:{(13,1)}
      19:{1,5,6}:{(16,1),(17,1)}

117 :  0:{3,4,5}:{(1,1),(2,1)}
       1:{2,4,5}:{(0,1),(4,1),(5,1),(6,1)}
       2:{3,4,6}:{(0,1),(6,1),(7,1)}
       3:{2,3,4}:{(4,1),(8,1)}
       4:{2,3,5}:{(1,1),(3,1),(9,1),(10,1)}
       5:{1,4,5}:{(1,1),(9,1),(11,1)}
       6:{2,4,6}:{(1,1),(2,1),(10,1),(11,1),(12,1)}
       7:{3,5,6}:{(2,1),(12,1),(13,1)}
       8:{1,3,4}:{(3,1),(9,1),(14,1)}
       9:{1,3,5}:{(4,1),(5,1),(8,1),(16,1),(17,1)}
      10:{2,3,6}:{(4,1),(6,1),(17,1)}
      11:{1,4,6}:{(5,1),(6,1),(17,1),(18,1)}
      12:{2,5,6}:{(6,1),(7,1),(18,1)}
      13:{4,5,6}:{(7,1)}
      14:{1,2,4}:{(8,1),(15,1),(16,1)}
      15:{1,2,3}:{(14,1)}
      16:{1,2,5}:{(9,1),(14,1),(19,1)}
      17:{1,3,6}:{(9,1),(10,1),(11,1),(19,1)}
      18:{1,5,6}:{(11,1),(12,1)}
      19:{1,2,6}:{(16,1),(17,1)}

118 :  0:{2,3,5,6}:{(1,1),(2,1),(10,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(12,1),(13,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{1,2,5,6}:{(1,1),(7,1),(17,1)}
       4:{1,4,6}:{(1,1),(2,1),(8,1)}
       5:{2,4,5}:{(2,1),(8,1),(10,1),(17,1)}
       6:{3,4,6}:{(2,1),(10,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(11,1),(12,1),(14,1)}
       8:{1,4,5}:{(4,1),(5,1),(13,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(12,1),(13,1),(14,1),(18,1)}
      10:{3,5}:{(5,1),(6,1)}
      11:{1,2,4,5}:{(7,1),(8,1),(15,1),(17,1),(20,1)}
      12:{1,3,6}:{(7,1),(15,1),(16,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(17,1)}
      14:{2,4,6}:{(9,1),(16,1),(17,1),(20,1)}
      15:{1,3,5}:{(11,1),(12,1),(18,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(19,1)}
      17:{2,5}:{(13,1),(14,1)}
      18:{1,3,4}:{(15,1),(20,1)}
      19:{2,3,5}:{(15,1),(16,1),(17,1),(20,1)}
      20:{2,4}:{(18,1),(19,1)}

119 :  0:{2,4,5,6}:{(1,1),(2,1),(7,1),(9,1)}
       1:{1,4,5,6}:{(0,1),(3,1),(16,1)}
       2:{3,5,6}:{(0,1),(4,1)}
       3:{1,3,5,6}:{(1,1),(2,1),(6,1),(7,1)}
       4:{3,4,6}:{(2,1),(8,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(7,1),(9,1),(10,1),(18,1),(20,1)}
       6:{1,3,4,6}:{(3,1),(4,1),(11,1),(12,1),(16,1),(25,1)}
       7:{2,5,6}:{(3,1),(12,1)}
       8:{3,4,5}:{(4,1),(14,1)}
       9:{2,4,6}:{(4,1),(5,1),(14,1),(16,1)}
      10:{1,3,5,6}:{(5,1),(13,1),(16,1),(25,1),(26,1)}
      11:{1,3,4,5}:{(6,1),(8,1),(17,1),(21,1),(29,1)}
      12:{2,4,6}:{(6,1),(7,1),(17,1),(18,1)}
      13:{1,2,5,6}:{(7,1),(10,1),(19,1),(31,1)}
      14:{2,4,5}:{(8,1),(9,1),(20,1),(21,1)}
      15:{2,3,4,6}:{(9,1),(18,1),(20,1),(22,1),(28,1)}
      16:{1,4,6}:{(9,1),(10,1),(21,1)}
      17:{2,4,5}:{(11,1),(12,1),(23,1)}
      18:{2,3,6}:{(12,1),(23,1),(25,1)}
      19:{1,2,4,6}:{(12,1),(13,1),(16,1),(24,1),(25,1)}
      20:{2,3,5}:{(14,1),(15,1),(26,1)}
      21:{1,4,5}:{(14,1),(16,1),(26,1)}
      22:{1,3,4,6}:{(15,1),(16,1),(25,1),(26,1),(27,1),(32,1)}
      23:{2,3,5}:{(17,1),(18,1),(28,1),(29,1)}
      24:{1,2,4,5}:{(17,1),(19,1),(21,1),(29,1),(31,1),(34,1)}
      25:{1,3,6}:{(18,1),(19,1),(29,1)}
      26:{1,3,5}:{(20,1),(21,1),(22,1),(31,1)}
      27:{1,2,4,6}:{(22,1),(30,1),(31,1),(34,1)}
      28:{2,3,4}:{(23,1),(32,1)}
      29:{1,3,5}:{(23,1),(24,1),(25,1),(32,1)}
      30:{1,2,3,6}:{(25,1),(27,1),(33,1)}
      31:{1,2,5}:{(26,1),(27,1)}
      32:{1,3,4}:{(28,1),(29,1),(34,1)}
      33:{1,2,3,5}:{(29,1),(30,1),(31,1),(34,1)}
      34:{1,2,4}:{(32,1),(33,1)}

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

121 :  0:{4,5,6}:{(1,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1)}
       2:{3,4,5}:{(3,1),(5,1)}
       3:{3,4,6}:{(1,1),(2,1),(6,1)}
       4:{2,5,6}:{(1,1),(6,1),(7,1)}
       5:{2,4,5}:{(2,1),(6,1),(8,1),(9,1)}
       6:{2,4,6}:{(3,1),(4,1),(5,1),(11,1),(12,1)}
       7:{1,5,6}:{(4,1),(12,1)}
       8:{2,3,5}:{(5,1),(10,1),(11,1),(13,1)}
       9:{1,4,5}:{(5,1),(12,1),(13,1)}
      10:{2,3,4}:{(8,1),(14,1)}
      11:{2,3,6}:{(6,1),(8,1),(15,1)}
      12:{1,4,6}:{(6,1),(7,1),(9,1),(15,1)}
      13:{1,3,5}:{(8,1),(9,1),(14,1),(15,1),(16,1)}
      14:{1,3,4}:{(10,1),(13,1),(17,1)}
      15:{1,3,6}:{(11,1),(12,1),(13,1),(18,1)}
      16:{1,2,5}:{(13,1),(17,1),(18,1)}
      17:{1,2,4}:{(14,1),(16,1),(19,1)}
      18:{1,2,6}:{(15,1),(16,1)}
      19:{1,2,3}:{(17,1)}

122 :  0:{1,2,3,5}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,2,4}:{(0,1),(4,1)}
       2:{1,2,3,6}:{(0,1),(5,1),(13,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1),(10,1),(17,1),(22,1)}
       4:{1,3,4}:{(1,1),(6,1),(8,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1)}
       6:{1,3,5}:{(3,1),(4,1),(12,1),(13,1)}
       7:{1,2,4,6}:{(3,1),(13,1),(14,1),(23,1),(26,1)}
       8:{2,3,4}:{(4,1),(12,1)}
       9:{1,3,4,6}:{(4,1),(5,1),(13,1),(15,1),(16,1),(26,1)}
      10:{1,2,5}:{(5,1),(16,1)}
      11:{1,3,4,5}:{(6,1),(17,1),(18,1),(22,1),(31,1)}
      12:{2,3,5}:{(6,1),(8,1),(17,1),(19,1)}
      13:{1,3,6}:{(6,1),(7,1),(19,1)}
      14:{1,2,5,6}:{(7,1),(10,1),(20,1),(28,1)}
      15:{2,3,4,6}:{(8,1),(9,1),(19,1),(21,1),(30,1)}
      16:{1,3,5}:{(9,1),(10,1),(21,1),(22,1)}
      17:{2,4,5}:{(11,1),(12,1),(23,1)}
      18:{1,3,4,6}:{(11,1),(13,1),(23,1),(24,1),(26,1),(33,1)}
      19:{2,3,6}:{(12,1),(13,1),(23,1)}
      20:{1,3,5,6}:{(13,1),(14,1),(16,1),(25,1),(26,1)}
      21:{2,3,5}:{(15,1),(16,1),(27,1)}
      22:{1,4,5}:{(16,1),(26,1),(27,1)}
      23:{2,4,6}:{(17,1),(18,1),(19,1),(28,1)}
      24:{1,3,5,6}:{(18,1),(28,1),(29,1),(34,1)}
      25:{2,3,5,6}:{(19,1),(20,1),(21,1),(28,1),(30,1),(34,1)}
      26:{1,4,6}:{(20,1),(22,1),(30,1)}
      27:{2,4,5}:{(21,1),(22,1),(30,1),(31,1)}
      28:{2,5,6}:{(23,1),(24,1)}
      29:{1,4,5,6}:{(24,1),(26,1),(32,1)}
      30:{2,4,6}:{(25,1),(26,1),(27,1),(33,1)}
      31:{3,4,5}:{(27,1),(33,1)}
      32:{2,4,5,6}:{(28,1),(29,1),(30,1),(34,1)}
      33:{3,4,6}:{(30,1),(31,1),(34,1)}
      34:{3,5,6}:{(32,1),(33,1)}

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

124 :  0:{1,2,3}:{(2,1)}
       1:{2,3,4}:{(4,1),(5,1)}
       2:{1,2,4}:{(0,1),(5,1),(6,1)}
       3:{3,4,5}:{(7,1),(8,1)}
       4:{2,3,5}:{(1,1),(7,1),(9,1),(10,1)}
       5:{1,3,4}:{(1,1),(2,1),(9,1)}
       6:{1,2,5}:{(2,1),(9,1),(11,1)}
       7:{2,4,5}:{(3,1),(4,1),(12,1),(13,1)}
       8:{3,4,6}:{(3,1),(13,1),(14,1)}
       9:{1,3,5}:{(4,1),(5,1),(6,1),(12,1),(15,1)}
      10:{2,3,6}:{(4,1),(13,1),(15,1)}
      11:{1,2,6}:{(6,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(16,1)}
      13:{2,4,6}:{(7,1),(8,1),(10,1),(16,1),(17,1)}
      14:{3,5,6}:{(8,1),(17,1),(18,1)}
      15:{1,3,6}:{(9,1),(10,1),(11,1),(16,1)}
      16:{1,4,6}:{(12,1),(13,1),(15,1),(19,1)}
      17:{2,5,6}:{(13,1),(14,1),(19,1)}
      18:{4,5,6}:{(14,1)}
      19:{1,5,6}:{(16,1),(17,1)}

125 :  0:{2,3,4,6}:{(1,1),(2,1),(12,1),(28,1),(33,1)}
       1:{1,3,4,6}:{(0,1),(4,1),(5,1),(17,1),(21,1),(29,1)}
       2:{2,3,5}:{(0,1),(5,1),(7,1)}
       3:{1,2,3,6}:{(4,1),(8,1),(29,1)}
       4:{1,2,4,6}:{(1,1),(3,1),(9,1),(14,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(11,1)}
       6:{2,3,5,6}:{(2,1),(10,1),(12,1),(27,1),(33,1),(34,1)}
       7:{2,4,5}:{(2,1),(11,1),(12,1),(13,1)}
       8:{1,2,3,5}:{(3,1),(9,1),(14,1),(23,1)}
       9:{1,2,5}:{(4,1),(5,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(15,1),(17,1),(29,1)}
      11:{1,4,5}:{(5,1),(7,1),(17,1)}
      12:{2,4,6}:{(6,1),(7,1),(17,1),(20,1)}
      13:{3,4,5}:{(7,1),(20,1)}
      14:{1,2,4}:{(8,1),(21,1)}
      15:{1,2,5,6}:{(9,1),(10,1),(22,1),(34,1)}
      16:{1,2,4,5}:{(9,1),(11,1),(14,1),(22,1),(23,1),(26,1)}
      17:{1,4,6}:{(10,1),(11,1),(12,1)}
      18:{1,3,4,5}:{(11,1),(13,1),(23,1),(25,1),(26,1)}
      19:{2,4,5,6}:{(12,1),(24,1),(27,1),(34,1)}
      20:{3,4,6}:{(12,1),(13,1),(27,1)}
      21:{1,3,4}:{(14,1),(23,1),(28,1)}
      22:{1,2,4,6}:{(15,1),(16,1),(17,1),(29,1),(32,1)}
      23:{1,3,5}:{(16,1),(21,1),(29,1),(30,1)}
      24:{1,4,5,6}:{(17,1),(19,1),(31,1)}
      25:{1,3,4,6}:{(17,1),(18,1),(20,1),(29,1),(31,1),(32,1)}
      26:{2,4,5}:{(18,1),(30,1),(32,1)}
      27:{3,5,6}:{(19,1),(20,1)}
      28:{2,3,4}:{(21,1),(30,1)}
      29:{1,3,6}:{(22,1),(23,1),(33,1)}
      30:{2,3,5}:{(23,1),(26,1),(28,1),(33,1)}
      31:{1,3,5,6}:{(24,1),(25,1),(27,1),(34,1)}
      32:{2,4,6}:{(25,1),(26,1),(33,1),(34,1)}
      33:{2,3,6}:{(29,1),(30,1),(32,1)}
      34:{2,5,6}:{(31,1),(32,1)}

126 :  0:{2,3,4}:{(2,1),(3,1)}
       1:{3,4,5}:{(6,1),(7,1)}
       2:{2,3,5}:{(0,1),(6,1),(8,1),(9,1)}
       3:{1,3,4}:{(0,1),(5,1),(8,1)}
       4:{1,2,3}:{(5,1)}
       5:{1,2,4}:{(3,1),(4,1),(10,1)}
       6:{2,4,5}:{(1,1),(2,1),(11,1),(12,1)}
       7:{3,4,6}:{(1,1),(12,1),(13,1)}
       8:{1,3,5}:{(2,1),(3,1),(10,1),(11,1),(14,1)}
       9:{2,3,6}:{(2,1),(12,1),(14,1)}
      10:{1,2,5}:{(5,1),(8,1),(15,1)}
      11:{1,4,5}:{(6,1),(8,1),(16,1)}
      12:{2,4,6}:{(6,1),(7,1),(9,1),(16,1),(17,1)}
      13:{3,5,6}:{(7,1),(17,1),(18,1)}
      14:{1,3,6}:{(8,1),(9,1),(15,1),(16,1)}
      15:{1,2,6}:{(10,1),(14,1)}
      16:{1,4,6}:{(11,1),(12,1),(14,1),(19,1)}
      17:{2,5,6}:{(12,1),(13,1),(19,1)}
      18:{4,5,6}:{(13,1)}
      19:{1,5,6}:{(16,1),(17,1)}

127 :  0:{3,4,5}:{(1,1),(2,1)}
       1:{2,4,5}:{(0,1),(4,1),(5,1),(6,1)}
       2:{3,4,6}:{(0,1),(6,1),(7,1)}
       3:{2,3,4}:{(4,1),(8,1)}
       4:{2,3,5}:{(1,1),(3,1),(10,1),(11,1)}
       5:{1,4,5}:{(1,1),(10,1),(12,1)}
       6:{2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1)}
       8:{1,3,4}:{(3,1),(10,1),(15,1)}
       9:{1,2,3}:{(15,1)}
      10:{1,3,5}:{(4,1),(5,1),(8,1),(16,1),(17,1)}
      11:{2,3,6}:{(4,1),(6,1),(17,1)}
      12:{1,4,6}:{(5,1),(6,1),(17,1),(18,1)}
      13:{2,5,6}:{(6,1),(7,1),(18,1)}
      14:{4,5,6}:{(7,1)}
      15:{1,2,4}:{(8,1),(9,1),(16,1)}
      16:{1,2,5}:{(10,1),(15,1),(19,1)}
      17:{1,3,6}:{(10,1),(11,1),(12,1),(19,1)}
      18:{1,5,6}:{(12,1),(13,1)}
      19:{1,2,6}:{(16,1),(17,1)}

128 :  0:{2,3,5,6}:{(2,1),(3,1),(12,1),(14,1),(19,1)}
       1:{1,2,5,6}:{(2,1),(4,1),(19,1)}
       2:{1,3,5,6}:{(0,1),(1,1),(5,1),(9,1),(15,1)}
       3:{2,4,6}:{(0,1),(5,1),(6,1),(7,1)}
       4:{1,2,4,6}:{(1,1),(5,1),(8,1),(9,1),(16,1)}
       5:{1,4,6}:{(2,1),(3,1),(10,1)}
       6:{2,4,5}:{(3,1),(10,1),(12,1),(19,1)}
       7:{3,4,6}:{(3,1),(12,1)}
       8:{1,2,4,5}:{(4,1),(10,1),(13,1),(19,1),(20,1)}
       9:{1,3,6}:{(4,1),(13,1),(14,1)}
      10:{1,4,5}:{(5,1),(6,1),(15,1)}
      11:{1,3,4,6}:{(5,1),(7,1),(9,1),(15,1),(16,1),(17,1)}
      12:{3,5}:{(6,1),(7,1)}
      13:{1,3,5}:{(8,1),(9,1),(17,1),(18,1)}
      14:{2,3,6}:{(9,1),(16,1),(18,1)}
      15:{1,3,5}:{(10,1),(11,1),(12,1),(19,1)}
      16:{2,4,6}:{(11,1),(14,1),(19,1),(20,1)}
      17:{1,3,4}:{(13,1),(20,1)}
      18:{2,3,5}:{(13,1),(14,1),(19,1),(20,1)}
      19:{2,5}:{(15,1),(16,1)}
      20:{2,4}:{(17,1),(18,1)}

129 :  0:{1,2,5,6}:{(2,1),(3,1),(20,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(11,1),(13,1),(20,1)}
       2:{1,3,5,6}:{(0,1),(5,1),(6,1),(8,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(6,1),(8,1),(18,1)}
       4:{1,3,5}:{(1,1),(7,1),(8,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(10,1),(14,1),(19,1),(20,1)}
       6:{1,4,6}:{(2,1),(10,1),(11,1)}
       7:{1,3,4}:{(4,1),(13,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1)}
       9:{2,3,5}:{(4,1),(13,1),(14,1),(20,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{1,4,5}:{(6,1),(15,1),(17,1)}
      12:{1,3,4,6}:{(6,1),(7,1),(8,1),(16,1),(17,1),(18,1)}
      13:{2,4}:{(7,1),(9,1)}
      14:{2,3,6}:{(8,1),(9,1),(18,1)}
      15:{2,4,5}:{(10,1),(11,1),(19,1),(20,1)}
      16:{3,4,6}:{(10,1),(19,1)}
      17:{1,3,5}:{(11,1),(12,1),(19,1),(20,1)}
      18:{2,4,6}:{(12,1),(13,1),(14,1),(20,1)}
      19:{3,5}:{(15,1),(16,1)}
      20:{2,5}:{(17,1),(18,1)}

130 :  0:{1,2,4,5}:{(1,1),(2,1),(7,1),(15,1),(16,1)}
       1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1)}
       2:{1,2,4,6}:{(0,1),(5,1),(6,1),(11,1),(14,1)}
       3:{1,3,4}:{(1,1),(7,1)}
       4:{2,3,5}:{(1,1),(7,1),(9,1),(15,1)}
       5:{1,3,6}:{(1,1),(2,1),(9,1)}
       6:{1,2,5,6}:{(2,1),(10,1),(15,1)}
       7:{2,4}:{(3,1),(4,1)}
       8:{1,3,4,6}:{(3,1),(5,1),(11,1),(12,1),(14,1),(19,1)}
       9:{2,3,6}:{(4,1),(5,1),(11,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(12,1),(13,1),(14,1)}
      11:{2,4,6}:{(7,1),(8,1),(9,1),(15,1)}
      12:{1,3,5}:{(8,1),(15,1),(16,1),(20,1)}
      13:{2,3,5,6}:{(9,1),(10,1),(15,1),(17,1),(20,1)}
      14:{1,4,6}:{(10,1),(16,1),(17,1)}
      15:{2,5}:{(11,1),(12,1)}
      16:{1,4,5}:{(12,1),(14,1),(18,1)}
      17:{2,4,6}:{(13,1),(14,1),(18,1),(19,1)}
      18:{2,4,5}:{(15,1),(16,1),(17,1),(20,1)}
      19:{3,4,6}:{(17,1),(20,1)}
      20:{3,5}:{(18,1),(19,1)}

131 :  0:{1,3,4,5}:{(2,1),(3,1),(12,1),(23,1),(34,1)}
       1:{1,4,5,6}:{(4,1),(6,1),(32,1)}
       2:{1,3,4,6}:{(0,1),(6,1),(7,1),(18,1),(20,1),(32,1)}
       3:{2,4,5}:{(0,1),(5,1),(7,1)}
       4:{2,4,5,6}:{(1,1),(10,1),(13,1),(27,1)}
       5:{2,3,5}:{(3,1),(9,1),(11,1),(12,1)}
       6:{1,3,5,6}:{(1,1),(2,1),(10,1),(13,1)}
       7:{2,4,6}:{(2,1),(3,1),(11,1),(13,1)}
       8:{1,2,4,5}:{(3,1),(12,1),(14,1),(22,1),(33,1),(34,1)}
       9:{2,3,4}:{(5,1),(16,1)}
      10:{3,5,6}:{(4,1),(18,1)}
      11:{2,3,6}:{(5,1),(7,1),(20,1)}
      12:{1,3,5}:{(5,1),(8,1),(16,1),(20,1)}
      13:{2,5,6}:{(6,1),(7,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(20,1),(21,1),(32,1)}
      15:{2,3,4,6}:{(9,1),(11,1),(24,1),(25,1),(27,1)}
      16:{1,3,4}:{(9,1),(12,1),(22,1)}
      17:{1,2,3,5}:{(12,1),(22,1),(26,1),(33,1)}
      18:{3,4,6}:{(10,1),(23,1),(27,1)}
      19:{2,3,5,6}:{(10,1),(11,1),(13,1),(24,1),(27,1),(28,1)}
      20:{1,3,6}:{(11,1),(12,1),(14,1)}
      21:{1,2,5,6}:{(13,1),(14,1),(28,1),(33,1)}
      22:{1,2,4}:{(16,1),(17,1)}
      23:{3,4,5}:{(18,1),(30,1)}
      24:{2,3,5}:{(15,1),(30,1),(31,1)}
      25:{1,3,4,6}:{(15,1),(16,1),(20,1),(29,1),(31,1),(32,1)}
      26:{1,2,3,6}:{(17,1),(20,1),(29,1)}
      27:{2,4,6}:{(18,1),(19,1),(30,1),(32,1)}
      28:{1,3,5,6}:{(19,1),(20,1),(21,1),(31,1),(32,1)}
      29:{1,2,4,6}:{(22,1),(25,1),(26,1),(33,1)}
      30:{2,4,5}:{(23,1),(24,1),(27,1),(34,1)}
      31:{1,3,5}:{(24,1),(25,1),(33,1),(34,1)}
      32:{1,4,6}:{(27,1),(28,1),(34,1)}
      33:{1,2,5}:{(29,1),(31,1)}
      34:{1,4,5}:{(30,1),(31,1),(32,1)}

132 :  0:{1,4,5,6}:{(1,1),(2,1),(23,1)}
       1:{2,4,5,6}:{(0,1),(4,1),(6,1),(15,1)}
       2:{1,3,5,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{1,3,4,5}:{(5,1),(7,1),(14,1),(20,1),(28,1)}
       4:{3,5,6}:{(1,1),(8,1)}
       5:{1,3,4,6}:{(2,1),(3,1),(8,1),(10,1),(23,1),(25,1)}
       6:{2,5,6}:{(2,1),(10,1)}
       7:{2,4,5}:{(3,1),(10,1),(12,1)}
       8:{3,4,6}:{(4,1),(14,1),(15,1)}
       9:{2,3,5,6}:{(4,1),(6,1),(15,1),(16,1),(18,1),(27,1)}
      10:{2,4,6}:{(5,1),(6,1),(7,1),(18,1)}
      11:{1,2,5,6}:{(6,1),(16,1),(19,1),(34,1)}
      12:{2,3,5}:{(7,1),(17,1),(18,1),(20,1)}
      13:{1,2,4,5}:{(7,1),(19,1),(20,1),(28,1),(30,1),(34,1)}
      14:{3,4,5}:{(8,1),(21,1)}
      15:{2,4,6}:{(8,1),(9,1),(21,1),(23,1)}
      16:{1,3,5,6}:{(9,1),(11,1),(23,1),(25,1),(32,1)}
      17:{2,3,4}:{(12,1),(24,1)}
      18:{2,3,6}:{(10,1),(12,1),(25,1)}
      19:{1,2,4,6}:{(10,1),(11,1),(13,1),(23,1),(25,1)}
      20:{1,3,5}:{(12,1),(13,1),(24,1),(25,1)}
      21:{2,4,5}:{(14,1),(15,1),(27,1),(28,1)}
      22:{2,3,4,6}:{(15,1),(17,1),(18,1),(27,1),(29,1)}
      23:{1,4,6}:{(15,1),(16,1),(28,1)}
      24:{1,3,4}:{(17,1),(20,1),(30,1)}
      25:{1,3,6}:{(18,1),(19,1),(20,1)}
      26:{1,2,3,5}:{(20,1),(30,1),(31,1),(34,1)}
      27:{2,3,5}:{(21,1),(22,1),(32,1)}
      28:{1,4,5}:{(21,1),(23,1),(32,1)}
      29:{1,3,4,6}:{(22,1),(23,1),(24,1),(25,1),(32,1),(33,1)}
      30:{1,2,4}:{(24,1),(26,1)}
      31:{1,2,3,6}:{(25,1),(26,1),(33,1)}
      32:{1,3,5}:{(27,1),(28,1),(29,1),(34,1)}
      33:{1,2,4,6}:{(29,1),(30,1),(31,1),(34,1)}
      34:{1,2,5}:{(32,1),(33,1)}

133 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(9,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1)}
       2:{1,2,5}:{(0,1),(5,1),(11,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(9,1),(15,1),(17,1),(20,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(20,1)}
       5:{1,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       6:{2,4,6}:{(3,1),(4,1),(11,1),(13,1)}
       7:{1,3,5}:{(3,1),(11,1),(12,1),(19,1)}
       8:{2,3,5}:{(4,1),(5,1),(11,1),(13,1),(19,1)}
       9:{1,4}:{(5,1),(13,1)}
      10:{1,3,5,6}:{(7,1),(14,1),(15,1),(20,1)}
      11:{2,5}:{(6,1),(7,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(16,1)}
      13:{2,4}:{(8,1),(9,1),(17,1)}
      14:{2,5,6}:{(10,1),(11,1),(18,1)}
      15:{1,4,6}:{(10,1),(12,1),(18,1)}
      16:{2,4,5}:{(11,1),(12,1),(13,1),(18,1),(19,1)}
      17:{3,4}:{(13,1),(19,1)}
      18:{2,4,6}:{(14,1),(15,1),(16,1),(20,1)}
      19:{3,5}:{(16,1),(17,1),(20,1)}
      20:{3,6}:{(18,1),(19,1)}

134 :  0:{1,2,4,5}:{(1,1),(2,1),(7,1),(15,1),(16,1)}
       1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1)}
       2:{1,2,4,6}:{(0,1),(5,1),(6,1),(11,1),(14,1)}
       3:{1,3,4}:{(1,1),(7,1)}
       4:{2,3,5}:{(1,1),(7,1),(9,1),(15,1)}
       5:{1,3,6}:{(1,1),(2,1),(9,1)}
       6:{1,2,5,6}:{(2,1),(10,1),(15,1)}
       7:{2,4}:{(3,1),(4,1)}
       8:{1,3,4,6}:{(3,1),(5,1),(11,1),(12,1),(14,1),(19,1)}
       9:{2,3,6}:{(4,1),(5,1),(11,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(12,1),(13,1),(14,1)}
      11:{2,4,6}:{(7,1),(8,1),(9,1),(15,1)}
      12:{1,3,5}:{(8,1),(15,1),(16,1),(20,1)}
      13:{2,3,5,6}:{(9,1),(10,1),(15,1),(17,1),(20,1)}
      14:{1,4,6}:{(10,1),(16,1),(17,1)}
      15:{2,5}:{(11,1),(12,1)}
      16:{1,4,5}:{(12,1),(14,1),(18,1)}
      17:{2,4,6}:{(13,1),(14,1),(18,1),(19,1)}
      18:{2,4,5}:{(15,1),(16,1),(17,1),(20,1)}
      19:{3,4,6}:{(17,1),(20,1)}
      20:{3,5}:{(18,1),(19,1)}

135 :  0:{1,2,4,6}:{(2,1),(3,1),(4,1),(12,1)}
       1:{1,3,4,6}:{(2,1),(4,1),(5,1),(12,1),(14,1),(19,1),(20,1)}
       2:{1,3,6}:{(0,1),(6,1),(7,1)}
       3:{1,2,5}:{(0,1),(7,1),(9,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(16,1)}
       5:{1,3,5}:{(1,1),(9,1),(10,1),(18,1)}
       6:{2,3,6}:{(2,1),(4,1),(11,1),(20,1)}
       7:{1,3,5}:{(2,1),(3,1),(11,1),(12,1)}
       8:{1,3,5,6}:{(5,1),(13,1),(14,1),(20,1)}
       9:{2,5}:{(4,1),(5,1)}
      10:{1,4,5}:{(5,1),(12,1),(14,1),(15,1)}
      11:{2,3,5}:{(6,1),(7,1),(9,1),(16,1),(18,1)}
      12:{1,4}:{(7,1),(16,1)}
      13:{2,5,6}:{(8,1),(9,1),(17,1)}
      14:{1,4,6}:{(8,1),(10,1),(17,1)}
      15:{2,4,5}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      16:{2,4}:{(11,1),(12,1),(19,1)}
      17:{2,4,6}:{(13,1),(14,1),(15,1),(20,1)}
      18:{3,5}:{(15,1),(19,1),(20,1)}
      19:{3,4}:{(16,1),(18,1)}
      20:{3,6}:{(17,1),(18,1)}

136 :  0:{1,3,4,5}:{(1,1),(2,1),(8,1),(33,1),(34,1)}
       1:{2,4,5}:{(0,1),(3,1),(5,1)}
       2:{1,3,4,6}:{(0,1),(5,1),(6,1),(16,1),(30,1),(31,1)}
       3:{2,3,5}:{(1,1),(7,1),(8,1),(9,1)}
       4:{1,2,4,5}:{(1,1),(8,1),(10,1),(20,1),(32,1),(33,1)}
       5:{2,4,6}:{(1,1),(2,1),(9,1),(11,1)}
       6:{1,3,5,6}:{(2,1),(11,1),(12,1),(26,1)}
       7:{2,3,4}:{(3,1),(13,1)}
       8:{1,3,5}:{(3,1),(4,1),(13,1),(16,1)}
       9:{2,3,6}:{(3,1),(5,1),(16,1)}
      10:{1,2,4,6}:{(4,1),(5,1),(16,1),(18,1),(30,1)}
      11:{2,5,6}:{(5,1),(6,1)}
      12:{1,4,5,6}:{(6,1),(19,1),(30,1)}
      13:{1,3,4}:{(7,1),(8,1),(20,1)}
      14:{2,3,4,6}:{(7,1),(9,1),(21,1),(22,1),(25,1)}
      15:{1,2,3,5}:{(8,1),(20,1),(23,1),(32,1)}
      16:{1,3,6}:{(8,1),(9,1),(10,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(22,1),(24,1),(25,1),(26,1)}
      18:{1,2,5,6}:{(10,1),(11,1),(24,1),(32,1)}
      19:{2,4,5,6}:{(11,1),(12,1),(25,1),(26,1)}
      20:{1,2,4}:{(13,1),(15,1)}
      21:{1,3,4,6}:{(13,1),(14,1),(16,1),(27,1),(28,1),(30,1)}
      22:{2,3,5}:{(14,1),(28,1),(29,1)}
      23:{1,2,3,6}:{(15,1),(16,1),(27,1)}
      24:{1,3,5,6}:{(16,1),(17,1),(18,1),(28,1),(30,1)}
      25:{2,4,6}:{(17,1),(29,1),(30,1),(31,1)}
      26:{3,5,6}:{(19,1),(31,1)}
      27:{1,2,4,6}:{(20,1),(21,1),(23,1),(32,1)}
      28:{1,3,5}:{(21,1),(22,1),(32,1),(33,1)}
      29:{2,4,5}:{(22,1),(25,1),(33,1),(34,1)}
      30:{1,4,6}:{(24,1),(25,1),(33,1)}
      31:{3,4,6}:{(25,1),(26,1),(34,1)}
      32:{1,2,5}:{(27,1),(28,1)}
      33:{1,4,5}:{(28,1),(29,1),(30,1)}
      34:{3,4,5}:{(29,1),(31,1)}

137 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(11,1),(15,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(15,1)}
       2:{2,4,6}:{(0,1),(6,1),(8,1),(17,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(18,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1)}
       5:{1,4,6}:{(1,1),(9,1),(10,1)}
       6:{2,3,6}:{(2,1),(11,1),(12,1),(15,1)}
       7:{1,2,4,6}:{(2,1),(11,1),(13,1),(19,1)}
       8:{2,5}:{(2,1),(3,1)}
       9:{1,4,5}:{(3,1),(5,1),(14,1),(19,1)}
      10:{2,4,6}:{(4,1),(5,1),(14,1),(15,1)}
      11:{1,3,6}:{(6,1),(7,1),(16,1)}
      12:{2,3,5}:{(6,1),(8,1),(16,1),(17,1),(18,1)}
      13:{1,2,5}:{(7,1),(8,1),(16,1)}
      14:{2,4,5}:{(8,1),(9,1),(10,1),(17,1),(18,1)}
      15:{3,6}:{(10,1),(18,1)}
      16:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      17:{2,4}:{(12,1),(19,1),(20,1)}
      18:{3,5}:{(14,1),(15,1),(20,1)}
      19:{1,4}:{(16,1),(17,1)}
      20:{3,4}:{(17,1),(18,1)}

138 :  0:{2,3,4,6}:{(1,1),(2,1),(10,1),(32,1),(33,1)}
       1:{1,3,4,6}:{(0,1),(3,1),(5,1),(17,1),(27,1),(28,1)}
       2:{2,3,5}:{(0,1),(5,1),(6,1)}
       3:{1,2,4,6}:{(1,1),(7,1),(8,1),(20,1)}
       4:{2,3,5,6}:{(2,1),(9,1),(10,1),(24,1),(33,1),(34,1)}
       5:{1,3,5}:{(1,1),(2,1),(8,1),(11,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1),(12,1)}
       7:{1,2,3,6}:{(3,1),(13,1),(28,1)}
       8:{1,2,5}:{(3,1),(5,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(17,1),(28,1)}
      10:{2,4,6}:{(4,1),(6,1),(17,1),(18,1)}
      11:{1,4,5}:{(5,1),(6,1),(17,1)}
      12:{3,4,5}:{(6,1),(18,1)}
      13:{1,2,3,5}:{(7,1),(8,1),(20,1),(22,1)}
      14:{1,2,5,6}:{(8,1),(9,1),(21,1),(34,1)}
      15:{1,2,4,5}:{(8,1),(11,1),(20,1),(21,1),(22,1),(26,1)}
      16:{2,4,5,6}:{(10,1),(23,1),(24,1),(34,1)}
      17:{1,4,6}:{(9,1),(10,1),(11,1)}
      18:{3,4,6}:{(10,1),(12,1),(24,1)}
      19:{1,3,4,5}:{(11,1),(12,1),(22,1),(25,1),(26,1)}
      20:{1,2,4}:{(13,1),(27,1)}
      21:{1,2,4,6}:{(14,1),(15,1),(17,1),(28,1),(31,1)}
      22:{1,3,5}:{(15,1),(27,1),(28,1),(29,1)}
      23:{1,4,5,6}:{(16,1),(17,1),(30,1)}
      24:{3,5,6}:{(16,1),(18,1)}
      25:{1,3,4,6}:{(17,1),(18,1),(19,1),(28,1),(30,1),(31,1)}
      26:{2,4,5}:{(19,1),(29,1),(31,1)}
      27:{1,3,4}:{(20,1),(22,1),(32,1)}
      28:{1,3,6}:{(21,1),(22,1),(33,1)}
      29:{2,3,5}:{(22,1),(26,1),(32,1),(33,1)}
      30:{1,3,5,6}:{(23,1),(24,1),(25,1),(34,1)}
      31:{2,4,6}:{(25,1),(26,1),(33,1),(34,1)}
      32:{2,3,4}:{(27,1),(29,1)}
      33:{2,3,6}:{(28,1),(29,1),(31,1)}
      34:{2,5,6}:{(30,1),(31,1)}

139 :  0:{2,3,4}:{(2,1),(3,1)}
       1:{3,4,5}:{(6,1),(7,1)}
       2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
       3:{1,3,4}:{(0,1),(4,1),(9,1)}
       4:{1,2,4}:{(3,1),(10,1),(11,1)}
       5:{4,5,6}:{(12,1)}
       6:{3,4,6}:{(1,1),(12,1),(13,1)}
       7:{2,4,5}:{(1,1),(2,1),(13,1),(14,1)}
       8:{2,3,6}:{(2,1),(13,1),(15,1)}
       9:{1,3,5}:{(2,1),(3,1),(11,1),(14,1),(15,1)}
      10:{1,2,3}:{(4,1)}
      11:{1,2,5}:{(4,1),(9,1),(16,1)}
      12:{3,5,6}:{(5,1),(6,1),(17,1)}
      13:{2,4,6}:{(6,1),(7,1),(8,1),(17,1),(18,1)}
      14:{1,4,5}:{(7,1),(9,1),(18,1)}
      15:{1,3,6}:{(8,1),(9,1),(16,1),(18,1)}
      16:{1,2,6}:{(11,1),(15,1)}
      17:{2,5,6}:{(12,1),(13,1),(19,1)}
      18:{1,4,6}:{(13,1),(14,1),(15,1),(19,1)}
      19:{1,5,6}:{(17,1),(18,1)}

140 :  0:{3,4,5}:{(2,1),(3,1)}
       1:{4,5,6}:{(6,1)}
       2:{3,4,6}:{(0,1),(6,1),(7,1)}
       3:{2,4,5}:{(0,1),(5,1),(7,1),(8,1)}
       4:{2,3,4}:{(5,1),(9,1)}
       5:{2,3,5}:{(3,1),(4,1),(10,1),(11,1)}
       6:{3,5,6}:{(1,1),(2,1),(12,1)}
       7:{2,4,6}:{(2,1),(3,1),(10,1),(12,1),(13,1)}
       8:{1,4,5}:{(3,1),(11,1),(13,1)}
       9:{1,3,4}:{(4,1),(11,1),(14,1)}
      10:{2,3,6}:{(5,1),(7,1),(17,1)}
      11:{1,3,5}:{(5,1),(8,1),(9,1),(16,1),(17,1)}
      12:{2,5,6}:{(6,1),(7,1),(18,1)}
      13:{1,4,6}:{(7,1),(8,1),(17,1),(18,1)}
      14:{1,2,4}:{(9,1),(15,1),(16,1)}
      15:{1,2,3}:{(14,1)}
      16:{1,2,5}:{(11,1),(14,1),(19,1)}
      17:{1,3,6}:{(10,1),(11,1),(13,1),(19,1)}
      18:{1,5,6}:{(12,1),(13,1)}
      19:{1,2,6}:{(16,1),(17,1)}

141 :  0:{4,5,6}:{(1,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1)}
       2:{3,4,5}:{(3,1),(5,1)}
       3:{3,4,6}:{(1,1),(2,1),(7,1)}
       4:{2,5,6}:{(1,1),(7,1),(8,1)}
       5:{2,4,5}:{(2,1),(7,1),(9,1),(10,1)}
       6:{2,3,4}:{(9,1),(11,1)}
       7:{2,4,6}:{(3,1),(4,1),(5,1),(12,1),(13,1)}
       8:{1,5,6}:{(4,1),(13,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1),(14,1)}
      10:{1,4,5}:{(5,1),(13,1),(14,1)}
      11:{1,3,4}:{(6,1),(14,1),(15,1)}
      12:{2,3,6}:{(7,1),(9,1),(17,1)}
      13:{1,4,6}:{(7,1),(8,1),(10,1),(17,1)}
      14:{1,3,5}:{(9,1),(10,1),(11,1),(17,1),(18,1)}
      15:{1,2,4}:{(11,1),(16,1),(18,1)}
      16:{1,2,3}:{(15,1)}
      17:{1,3,6}:{(12,1),(13,1),(14,1),(19,1)}
      18:{1,2,5}:{(14,1),(15,1),(19,1)}
      19:{1,2,6}:{(17,1),(18,1)}

142 :  0:{2,3,5,6}:{(1,1),(2,1),(9,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(5,1),(12,1),(13,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{1,2,5,6}:{(1,1),(7,1),(17,1)}
       4:{2,4,5}:{(2,1),(8,1),(9,1),(17,1)}
       5:{1,4,6}:{(1,1),(2,1),(8,1)}
       6:{3,4,6}:{(2,1),(9,1)}
       7:{1,2,4,6}:{(3,1),(5,1),(11,1),(12,1),(14,1)}
       8:{1,4,5}:{(4,1),(5,1),(13,1)}
       9:{3,5}:{(4,1),(6,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1),(18,1)}
      11:{1,2,4,5}:{(7,1),(8,1),(15,1),(17,1),(20,1)}
      12:{1,3,6}:{(7,1),(15,1),(16,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(17,1)}
      14:{2,4,6}:{(10,1),(16,1),(17,1),(20,1)}
      15:{1,3,5}:{(11,1),(12,1),(18,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(19,1)}
      17:{2,5}:{(13,1),(14,1)}
      18:{1,3,4}:{(15,1),(20,1)}
      19:{2,3,5}:{(15,1),(16,1),(17,1),(20,1)}
      20:{2,4}:{(18,1),(19,1)}

143 :  0:{1,3,5,6}:{(1,1),(2,1),(7,1),(8,1)}
       1:{2,5,6}:{(0,1),(3,1),(12,1)}
       2:{1,4,6}:{(0,1),(3,1),(4,1)}
       3:{2,4,6}:{(1,1),(2,1),(6,1),(7,1)}
       4:{1,4,5}:{(2,1),(6,1),(8,1),(20,1)}
       5:{1,3,4,6}:{(2,1),(7,1),(8,1),(9,1),(14,1),(16,1),(20,1)}
       6:{2,4,5}:{(3,1),(4,1),(10,1),(12,1),(18,1)}
       7:{3,6}:{(3,1),(10,1)}
       8:{1,3,5}:{(4,1),(5,1),(10,1),(12,1)}
       9:{2,4,6}:{(5,1),(11,1),(12,1),(18,1)}
      10:{3,5}:{(6,1),(7,1),(14,1)}
      11:{2,3,6}:{(7,1),(9,1),(15,1),(16,1)}
      12:{2,5}:{(8,1),(9,1)}
      13:{1,2,4,6}:{(9,1),(16,1),(17,1),(20,1)}
      14:{3,4}:{(10,1),(18,1)}
      15:{2,3,5}:{(10,1),(11,1),(12,1),(18,1),(19,1)}
      16:{1,3,6}:{(11,1),(13,1),(19,1)}
      17:{1,2,5}:{(12,1),(13,1),(19,1)}
      18:{2,4}:{(14,1),(15,1),(20,1)}
      19:{1,3,5}:{(15,1),(16,1),(17,1),(20,1)}
      20:{1,4}:{(18,1),(19,1)}

144 :  0:{2,3,5,6}:{(1,1),(2,1),(10,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(12,1),(13,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{1,2,5,6}:{(1,1),(7,1),(17,1)}
       4:{1,4,6}:{(1,1),(2,1),(8,1)}
       5:{2,4,5}:{(2,1),(8,1),(10,1),(17,1)}
       6:{3,4,6}:{(2,1),(10,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(11,1),(12,1),(14,1)}
       8:{1,4,5}:{(4,1),(5,1),(13,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(12,1),(13,1),(14,1),(18,1)}
      10:{3,5}:{(5,1),(6,1)}
      11:{1,2,4,5}:{(7,1),(8,1),(15,1),(17,1),(20,1)}
      12:{1,3,6}:{(7,1),(15,1),(16,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(17,1)}
      14:{2,4,6}:{(9,1),(16,1),(17,1),(20,1)}
      15:{1,3,5}:{(11,1),(12,1),(18,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(19,1)}
      17:{2,5}:{(13,1),(14,1)}
      18:{1,3,4}:{(15,1),(20,1)}
      19:{2,3,5}:{(15,1),(16,1),(17,1),(20,1)}
      20:{2,4}:{(18,1),(19,1)}

145 :  0:{2,4,5,6}:{(1,1),(2,1),(7,1),(9,1)}
       1:{1,4,5,6}:{(0,1),(3,1),(16,1)}
       2:{3,5,6}:{(0,1),(4,1)}
       3:{1,3,5,6}:{(1,1),(2,1),(6,1),(7,1)}
       4:{3,4,6}:{(2,1),(8,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(7,1),(9,1),(10,1),(18,1),(20,1)}
       6:{1,3,4,6}:{(3,1),(4,1),(11,1),(12,1),(16,1),(25,1)}
       7:{2,5,6}:{(3,1),(12,1)}
       8:{3,4,5}:{(4,1),(14,1)}
       9:{2,4,6}:{(4,1),(5,1),(14,1),(16,1)}
      10:{1,3,5,6}:{(5,1),(13,1),(16,1),(25,1),(26,1)}
      11:{1,3,4,5}:{(6,1),(8,1),(17,1),(21,1),(29,1)}
      12:{2,4,6}:{(6,1),(7,1),(17,1),(18,1)}
      13:{1,2,5,6}:{(7,1),(10,1),(19,1),(31,1)}
      14:{2,4,5}:{(8,1),(9,1),(20,1),(21,1)}
      15:{2,3,4,6}:{(9,1),(18,1),(20,1),(22,1),(28,1)}
      16:{1,4,6}:{(9,1),(10,1),(21,1)}
      17:{2,4,5}:{(11,1),(12,1),(23,1)}
      18:{2,3,6}:{(12,1),(23,1),(25,1)}
      19:{1,2,4,6}:{(12,1),(13,1),(16,1),(24,1),(25,1)}
      20:{2,3,5}:{(14,1),(15,1),(26,1)}
      21:{1,4,5}:{(14,1),(16,1),(26,1)}
      22:{1,3,4,6}:{(15,1),(16,1),(25,1),(26,1),(27,1),(32,1)}
      23:{2,3,5}:{(17,1),(18,1),(28,1),(29,1)}
      24:{1,2,4,5}:{(17,1),(19,1),(21,1),(29,1),(31,1),(34,1)}
      25:{1,3,6}:{(18,1),(19,1),(29,1)}
      26:{1,3,5}:{(20,1),(21,1),(22,1),(31,1)}
      27:{1,2,4,6}:{(22,1),(30,1),(31,1),(34,1)}
      28:{2,3,4}:{(23,1),(32,1)}
      29:{1,3,5}:{(23,1),(24,1),(25,1),(32,1)}
      30:{1,2,3,6}:{(25,1),(27,1),(33,1)}
      31:{1,2,5}:{(26,1),(27,1)}
      32:{1,3,4}:{(28,1),(29,1),(34,1)}
      33:{1,2,3,5}:{(29,1),(30,1),(31,1),(34,1)}
      34:{1,2,4}:{(32,1),(33,1)}

146 :  0:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(13,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(12,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1)}
       4:{1,2,4,5,6}:{(2,1),(7,1),(13,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(13,1)}
       7:{1,3,5,6}:{(4,1),(5,1),(10,1),(11,1)}
       8:{1,3,4,5}:{(5,1),(10,1),(12,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1)}
      10:{1,3,4,6}:{(7,1),(8,1),(13,1)}
      11:{2,3,5,6}:{(7,1),(9,1),(13,1)}
      12:{2,4,5}:{(8,1),(9,1),(13,1)}
      13:{2,4,6}:{(10,1),(11,1),(12,1)}

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

148 :  0:{1,2,4,5,6}:{(1,1),(5,1),(11,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(13,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(10,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(13,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1)}
       6:{1,2,3,5,6}:{(3,1),(9,1),(13,1)}
       7:{2,4,5}:{(4,1),(5,1),(10,1)}
       8:{2,3,4,6}:{(5,1),(10,1),(12,1)}
       9:{1,2,4,6}:{(5,1),(6,1),(11,1),(12,1)}
      10:{2,3,5}:{(7,1),(8,1),(13,1)}
      11:{1,2,4,5}:{(7,1),(9,1),(13,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(13,1)}
      13:{1,3,5}:{(10,1),(11,1),(12,1)}

149 :  0:{1,2,3,6}:{(2,1),(3,1),(25,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(31,1)}
       2:{1,2,4,6}:{(0,1),(4,1),(6,1),(7,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(19,1)}
       4:{1,3,4,6}:{(1,1),(2,1),(9,1),(13,1),(22,1),(25,1)}
       5:{2,3,5}:{(1,1),(9,1),(10,1)}
       6:{1,2,5}:{(2,1),(9,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{2,3,5,6}:{(5,1),(14,1),(15,1),(28,1),(31,1),(34,1)}
       9:{1,3,5}:{(4,1),(5,1),(6,1),(16,1)}
      10:{2,4,5}:{(5,1),(15,1),(16,1),(17,1)}
      11:{1,2,5,6}:{(6,1),(14,1),(18,1),(34,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(16,1),(18,1),(19,1),(30,1)}
      13:{1,3,4}:{(7,1),(19,1),(20,1)}
      14:{1,3,5,6}:{(8,1),(9,1),(11,1),(22,1),(25,1)}
      15:{2,4,6}:{(8,1),(10,1),(22,1),(23,1)}
      16:{1,4,5}:{(9,1),(10,1),(22,1)}
      17:{3,4,5}:{(10,1),(23,1)}
      18:{1,2,4,6}:{(11,1),(12,1),(22,1),(25,1),(33,1)}
      19:{1,3,5}:{(12,1),(13,1),(25,1),(26,1)}
      20:{2,3,4}:{(13,1),(26,1)}
      21:{2,4,5,6}:{(15,1),(27,1),(28,1),(34,1)}
      22:{1,4,6}:{(14,1),(15,1),(16,1)}
      23:{3,4,6}:{(15,1),(17,1),(28,1)}
      24:{1,3,4,5}:{(16,1),(17,1),(19,1),(29,1),(30,1)}
      25:{1,3,6}:{(18,1),(19,1),(31,1)}
      26:{2,3,5}:{(19,1),(20,1),(30,1),(31,1)}
      27:{1,4,5,6}:{(21,1),(22,1),(32,1)}
      28:{3,5,6}:{(21,1),(23,1)}
      29:{1,3,4,6}:{(22,1),(23,1),(24,1),(25,1),(32,1),(33,1)}
      30:{2,4,5}:{(24,1),(26,1),(33,1)}
      31:{2,3,6}:{(25,1),(26,1),(33,1)}
      32:{1,3,5,6}:{(27,1),(28,1),(29,1),(34,1)}
      33:{2,4,6}:{(29,1),(30,1),(31,1),(34,1)}
      34:{2,5,6}:{(32,1),(33,1)}

150 :  0:{1,2,3}:{(2,1)}
       1:{2,3,4}:{(4,1),(5,1)}
       2:{1,2,4}:{(0,1),(5,1),(6,1)}
       3:{3,4,5}:{(8,1),(9,1)}
       4:{2,3,5}:{(1,1),(9,1),(10,1),(11,1)}
       5:{1,3,4}:{(1,1),(2,1),(11,1)}
       6:{1,2,5}:{(2,1),(11,1),(12,1)}
       7:{4,5,6}:{(13,1)}
       8:{3,4,6}:{(3,1),(13,1),(14,1)}
       9:{2,4,5}:{(3,1),(4,1),(14,1),(15,1)}
      10:{2,3,6}:{(4,1),(14,1),(16,1)}
      11:{1,3,5}:{(4,1),(5,1),(6,1),(15,1),(16,1)}
      12:{1,2,6}:{(6,1),(16,1)}
      13:{3,5,6}:{(7,1),(8,1),(17,1)}
      14:{2,4,6}:{(8,1),(9,1),(10,1),(17,1),(18,1)}
      15:{1,4,5}:{(9,1),(11,1),(18,1)}
      16:{1,3,6}:{(10,1),(11,1),(12,1),(18,1)}
      17:{2,5,6}:{(13,1),(14,1),(19,1)}
      18:{1,4,6}:{(14,1),(15,1),(16,1),(19,1)}
      19:{1,5,6}:{(17,1),(18,1)}

151 :  0:{2,3,4,6}:{(1,1),(2,1),(11,1),(28,1),(33,1)}
       1:{1,3,4,6}:{(0,1),(4,1),(6,1),(18,1),(21,1),(29,1)}
       2:{2,3,5}:{(0,1),(6,1),(7,1)}
       3:{1,2,3,6}:{(4,1),(8,1),(29,1)}
       4:{1,2,4,6}:{(1,1),(3,1),(9,1),(14,1)}
       5:{2,3,5,6}:{(2,1),(10,1),(11,1),(25,1),(33,1),(34,1)}
       6:{1,3,5}:{(1,1),(2,1),(9,1),(12,1)}
       7:{2,4,5}:{(2,1),(11,1),(12,1),(13,1)}
       8:{1,2,3,5}:{(3,1),(9,1),(14,1),(23,1)}
       9:{1,2,5}:{(4,1),(6,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(15,1),(18,1),(29,1)}
      11:{2,4,6}:{(5,1),(7,1),(18,1),(19,1)}
      12:{1,4,5}:{(6,1),(7,1),(18,1)}
      13:{3,4,5}:{(7,1),(19,1)}
      14:{1,2,4}:{(8,1),(21,1)}
      15:{1,2,5,6}:{(9,1),(10,1),(22,1),(34,1)}
      16:{1,2,4,5}:{(9,1),(12,1),(14,1),(22,1),(23,1),(27,1)}
      17:{2,4,5,6}:{(11,1),(24,1),(25,1),(34,1)}
      18:{1,4,6}:{(10,1),(11,1),(12,1)}
      19:{3,4,6}:{(11,1),(13,1),(25,1)}
      20:{1,3,4,5}:{(12,1),(13,1),(23,1),(26,1),(27,1)}
      21:{1,3,4}:{(14,1),(23,1),(28,1)}
      22:{1,2,4,6}:{(15,1),(16,1),(18,1),(29,1),(32,1)}
      23:{1,3,5}:{(16,1),(21,1),(29,1),(30,1)}
      24:{1,4,5,6}:{(17,1),(18,1),(31,1)}
      25:{3,5,6}:{(17,1),(19,1)}
      26:{1,3,4,6}:{(18,1),(19,1),(20,1),(29,1),(31,1),(32,1)}
      27:{2,4,5}:{(20,1),(30,1),(32,1)}
      28:{2,3,4}:{(21,1),(30,1)}
      29:{1,3,6}:{(22,1),(23,1),(33,1)}
      30:{2,3,5}:{(23,1),(27,1),(28,1),(33,1)}
      31:{1,3,5,6}:{(24,1),(25,1),(26,1),(34,1)}
      32:{2,4,6}:{(26,1),(27,1),(33,1),(34,1)}
      33:{2,3,6}:{(29,1),(30,1),(32,1)}
      34:{2,5,6}:{(31,1),(32,1)}

152 :  0:{2,3,4}:{(2,1),(3,1)}
       1:{3,4,5}:{(7,1),(8,1)}
       2:{2,3,5}:{(0,1),(8,1),(9,1),(10,1)}
       3:{1,3,4}:{(0,1),(5,1),(10,1)}
       4:{1,2,3}:{(5,1)}
       5:{1,2,4}:{(3,1),(4,1),(11,1)}
       6:{4,5,6}:{(12,1)}
       7:{3,4,6}:{(1,1),(12,1),(13,1)}
       8:{2,4,5}:{(1,1),(2,1),(13,1),(14,1)}
       9:{2,3,6}:{(2,1),(13,1),(15,1)}
      10:{1,3,5}:{(2,1),(3,1),(11,1),(14,1),(15,1)}
      11:{1,2,5}:{(5,1),(10,1),(16,1)}
      12:{3,5,6}:{(6,1),(7,1),(17,1)}
      13:{2,4,6}:{(7,1),(8,1),(9,1),(17,1),(18,1)}
      14:{1,4,5}:{(8,1),(10,1),(18,1)}
      15:{1,3,6}:{(9,1),(10,1),(16,1),(18,1)}
      16:{1,2,6}:{(11,1),(15,1)}
      17:{2,5,6}:{(12,1),(13,1),(19,1)}
      18:{1,4,6}:{(13,1),(14,1),(15,1),(19,1)}
      19:{1,5,6}:{(17,1),(18,1)}

153 :  0:{3,4,5}:{(2,1),(3,1)}
       1:{4,5,6}:{(6,1)}
       2:{3,4,6}:{(0,1),(6,1),(7,1)}
       3:{2,4,5}:{(0,1),(5,1),(7,1),(8,1)}
       4:{2,3,4}:{(5,1),(9,1)}
       5:{2,3,5}:{(3,1),(4,1),(11,1),(12,1)}
       6:{3,5,6}:{(1,1),(2,1),(13,1)}
       7:{2,4,6}:{(2,1),(3,1),(11,1),(13,1),(14,1)}
       8:{1,4,5}:{(3,1),(12,1),(14,1)}
       9:{1,3,4}:{(4,1),(12,1),(15,1)}
      10:{1,2,3}:{(15,1)}
      11:{2,3,6}:{(5,1),(7,1),(17,1)}
      12:{1,3,5}:{(5,1),(8,1),(9,1),(16,1),(17,1)}
      13:{2,5,6}:{(6,1),(7,1),(18,1)}
      14:{1,4,6}:{(7,1),(8,1),(17,1),(18,1)}
      15:{1,2,4}:{(9,1),(10,1),(16,1)}
      16:{1,2,5}:{(12,1),(15,1),(19,1)}
      17:{1,3,6}:{(11,1),(12,1),(14,1),(19,1)}
      18:{1,5,6}:{(13,1),(14,1)}
      19:{1,2,6}:{(16,1),(17,1)}

154 :  0:{4,5,6}:{(1,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1)}
       2:{3,4,5}:{(3,1),(5,1)}
       3:{3,4,6}:{(1,1),(2,1),(7,1)}
       4:{2,5,6}:{(1,1),(7,1),(8,1)}
       5:{2,4,5}:{(2,1),(7,1),(9,1),(10,1)}
       6:{2,3,4}:{(9,1),(11,1)}
       7:{2,4,6}:{(3,1),(4,1),(5,1),(13,1),(14,1)}
       8:{1,5,6}:{(4,1),(14,1)}
       9:{2,3,5}:{(5,1),(6,1),(13,1),(15,1)}
      10:{1,4,5}:{(5,1),(14,1),(15,1)}
      11:{1,3,4}:{(6,1),(15,1),(16,1)}
      12:{1,2,3}:{(16,1)}
      13:{2,3,6}:{(7,1),(9,1),(17,1)}
      14:{1,4,6}:{(7,1),(8,1),(10,1),(17,1)}
      15:{1,3,5}:{(9,1),(10,1),(11,1),(17,1),(18,1)}
      16:{1,2,4}:{(11,1),(12,1),(18,1)}
      17:{1,3,6}:{(13,1),(14,1),(15,1),(19,1)}
      18:{1,2,5}:{(15,1),(16,1),(19,1)}
      19:{1,2,6}:{(17,1),(18,1)}

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

156 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(13,1)}
       1:{1,2,4}:{(0,1),(5,1)}
       2:{1,2,3,6}:{(0,1),(6,1),(15,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(8,1),(9,1),(13,1),(26,1)}
       4:{1,3,4,5}:{(7,1),(9,1),(10,1),(26,1),(33,1)}
       5:{1,3,4}:{(1,1),(7,1),(11,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(12,1),(13,1)}
       7:{1,3,5}:{(3,1),(5,1),(14,1),(15,1)}
       8:{1,2,4,6}:{(3,1),(15,1),(16,1),(17,1),(28,1)}
       9:{2,4,5}:{(4,1),(14,1),(17,1)}
      10:{1,3,4,6}:{(4,1),(15,1),(17,1),(18,1),(28,1),(34,1)}
      11:{2,3,4}:{(5,1),(14,1)}
      12:{1,3,4,6}:{(5,1),(6,1),(15,1),(19,1),(20,1),(28,1)}
      13:{1,2,5}:{(6,1),(20,1)}
      14:{2,3,5}:{(7,1),(9,1),(11,1),(21,1)}
      15:{1,3,6}:{(7,1),(8,1),(21,1)}
      16:{1,2,5,6}:{(8,1),(13,1),(22,1),(23,1)}
      17:{2,4,6}:{(9,1),(10,1),(21,1),(23,1)}
      18:{1,3,5,6}:{(10,1),(23,1),(24,1),(32,1)}
      19:{2,3,4,6}:{(11,1),(12,1),(21,1),(25,1),(31,1)}
      20:{1,3,5}:{(12,1),(13,1),(25,1),(26,1)}
      21:{2,3,6}:{(14,1),(15,1),(17,1)}
      22:{1,3,5,6}:{(15,1),(16,1),(20,1),(27,1),(28,1)}
      23:{2,5,6}:{(17,1),(18,1)}
      24:{1,4,5,6}:{(18,1),(28,1),(29,1)}
      25:{2,3,5}:{(19,1),(20,1),(30,1)}
      26:{1,4,5}:{(20,1),(28,1),(30,1)}
      27:{2,3,5,6}:{(21,1),(22,1),(23,1),(25,1),(31,1),(32,1)}
      28:{1,4,6}:{(22,1),(26,1),(31,1)}
      29:{2,4,5,6}:{(23,1),(24,1),(31,1),(32,1)}
      30:{2,4,5}:{(25,1),(26,1),(31,1),(33,1)}
      31:{2,4,6}:{(27,1),(28,1),(30,1),(34,1)}
      32:{3,5,6}:{(29,1),(34,1)}
      33:{3,4,5}:{(30,1),(34,1)}
      34:{3,4,6}:{(31,1),(32,1),(33,1)}

157 :  0:{2,3,5,6}:{(3,1),(4,1),(16,1),(17,1),(20,1)}
       1:{1,2,5,6}:{(3,1),(5,1),(20,1)}
       2:{1,2,4,5}:{(5,1),(6,1),(13,1),(15,1),(20,1)}
       3:{1,3,5,6}:{(0,1),(1,1),(7,1),(11,1),(18,1)}
       4:{2,4,6}:{(0,1),(7,1),(9,1),(10,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(11,1),(19,1)}
       6:{1,3,5}:{(2,1),(8,1),(11,1),(12,1)}
       7:{1,4,6}:{(3,1),(4,1),(13,1)}
       8:{1,3,4}:{(6,1),(15,1)}
       9:{2,4,5}:{(4,1),(13,1),(16,1),(20,1)}
      10:{3,4,6}:{(4,1),(16,1)}
      11:{1,3,6}:{(5,1),(6,1),(17,1)}
      12:{2,3,5}:{(6,1),(15,1),(17,1),(20,1)}
      13:{1,4,5}:{(7,1),(9,1),(18,1)}
      14:{1,3,4,6}:{(7,1),(8,1),(10,1),(11,1),(18,1),(19,1)}
      15:{2,4}:{(8,1),(12,1)}
      16:{3,5}:{(9,1),(10,1)}
      17:{2,3,6}:{(11,1),(12,1),(19,1)}
      18:{1,3,5}:{(13,1),(14,1),(16,1),(20,1)}
      19:{2,4,6}:{(14,1),(15,1),(17,1),(20,1)}
      20:{2,5}:{(18,1),(19,1)}

158 :  0:{1,2,5,6}:{(2,1),(3,1),(20,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(11,1),(13,1),(20,1)}
       2:{1,3,5,6}:{(0,1),(5,1),(6,1),(8,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(6,1),(8,1),(18,1)}
       4:{1,3,5}:{(1,1),(7,1),(8,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(10,1),(14,1),(19,1),(20,1)}
       6:{1,4,6}:{(2,1),(10,1),(11,1)}
       7:{1,3,4}:{(4,1),(13,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1)}
       9:{2,3,5}:{(4,1),(13,1),(14,1),(20,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{1,4,5}:{(6,1),(15,1),(17,1)}
      12:{1,3,4,6}:{(6,1),(7,1),(8,1),(16,1),(17,1),(18,1)}
      13:{2,4}:{(7,1),(9,1)}
      14:{2,3,6}:{(8,1),(9,1),(18,1)}
      15:{2,4,5}:{(10,1),(11,1),(19,1),(20,1)}
      16:{3,4,6}:{(10,1),(19,1)}
      17:{1,3,5}:{(11,1),(12,1),(19,1),(20,1)}
      18:{2,4,6}:{(12,1),(13,1),(14,1),(20,1)}
      19:{3,5}:{(15,1),(16,1)}
      20:{2,5}:{(17,1),(18,1)}

159 :  0:{1,2,4,5}:{(1,1),(2,1),(7,1),(15,1),(16,1)}
       1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1)}
       2:{1,2,4,6}:{(0,1),(5,1),(6,1),(11,1),(14,1)}
       3:{1,3,4}:{(1,1),(7,1)}
       4:{2,3,5}:{(1,1),(7,1),(9,1),(15,1)}
       5:{1,3,6}:{(1,1),(2,1),(9,1)}
       6:{1,2,5,6}:{(2,1),(10,1),(15,1)}
       7:{2,4}:{(3,1),(4,1)}
       8:{1,3,4,6}:{(3,1),(5,1),(11,1),(12,1),(14,1),(19,1)}
       9:{2,3,6}:{(4,1),(5,1),(11,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(12,1),(13,1),(14,1)}
      11:{2,4,6}:{(7,1),(8,1),(9,1),(15,1)}
      12:{1,3,5}:{(8,1),(15,1),(16,1),(20,1)}
      13:{2,3,5,6}:{(9,1),(10,1),(15,1),(17,1),(20,1)}
      14:{1,4,6}:{(10,1),(16,1),(17,1)}
      15:{2,5}:{(11,1),(12,1)}
      16:{1,4,5}:{(12,1),(14,1),(18,1)}
      17:{2,4,6}:{(13,1),(14,1),(18,1),(19,1)}
      18:{2,4,5}:{(15,1),(16,1),(17,1),(20,1)}
      19:{3,4,6}:{(17,1),(20,1)}
      20:{3,5}:{(18,1),(19,1)}

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

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

162 :  0:{1,2,4,6}:{(2,1),(3,1),(4,1),(12,1)}
       1:{1,3,4,6}:{(2,1),(4,1),(5,1),(12,1),(14,1),(19,1),(20,1)}
       2:{1,3,6}:{(0,1),(6,1),(7,1)}
       3:{1,2,5}:{(0,1),(7,1),(9,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(16,1)}
       5:{1,3,5}:{(1,1),(9,1),(10,1),(18,1)}
       6:{2,3,6}:{(2,1),(4,1),(11,1),(20,1)}
       7:{1,3,5}:{(2,1),(3,1),(11,1),(12,1)}
       8:{1,3,5,6}:{(5,1),(13,1),(14,1),(20,1)}
       9:{2,5}:{(4,1),(5,1)}
      10:{1,4,5}:{(5,1),(12,1),(14,1),(15,1)}
      11:{2,3,5}:{(6,1),(7,1),(9,1),(16,1),(18,1)}
      12:{1,4}:{(7,1),(16,1)}
      13:{2,5,6}:{(8,1),(9,1),(17,1)}
      14:{1,4,6}:{(8,1),(10,1),(17,1)}
      15:{2,4,5}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      16:{2,4}:{(11,1),(12,1),(19,1)}
      17:{2,4,6}:{(13,1),(14,1),(15,1),(20,1)}
      18:{3,5}:{(15,1),(19,1),(20,1)}
      19:{3,4}:{(16,1),(18,1)}
      20:{3,6}:{(17,1),(18,1)}

163 :  0:{1,3,4,5}:{(1,1),(2,1),(11,1),(33,1),(34,1)}
       1:{2,4,5}:{(0,1),(4,1),(6,1)}
       2:{1,3,4,6}:{(0,1),(6,1),(7,1),(19,1),(31,1),(32,1)}
       3:{1,2,3,5}:{(9,1),(10,1),(11,1),(25,1)}
       4:{2,3,5}:{(1,1),(8,1),(11,1),(12,1)}
       5:{1,2,4,5}:{(1,1),(9,1),(11,1),(13,1),(25,1),(33,1)}
       6:{2,4,6}:{(1,1),(2,1),(12,1),(14,1)}
       7:{1,3,5,6}:{(2,1),(14,1),(15,1),(28,1)}
       8:{2,3,4}:{(4,1),(16,1)}
       9:{1,2,4}:{(3,1),(16,1)}
      10:{1,2,3,6}:{(3,1),(18,1),(19,1)}
      11:{1,3,5}:{(4,1),(5,1),(16,1),(19,1)}
      12:{2,3,6}:{(4,1),(6,1),(19,1)}
      13:{1,2,4,6}:{(5,1),(6,1),(19,1),(21,1),(31,1)}
      14:{2,5,6}:{(6,1),(7,1)}
      15:{1,4,5,6}:{(7,1),(22,1),(31,1)}
      16:{1,3,4}:{(8,1),(9,1),(11,1)}
      17:{2,3,4,6}:{(8,1),(12,1),(23,1),(24,1),(27,1)}
      18:{1,2,4,6}:{(9,1),(10,1),(23,1),(25,1)}
      19:{1,3,6}:{(11,1),(12,1),(13,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(27,1),(28,1)}
      21:{1,2,5,6}:{(13,1),(14,1),(25,1),(26,1)}
      22:{2,4,5,6}:{(14,1),(15,1),(27,1),(28,1)}
      23:{1,3,4,6}:{(16,1),(17,1),(18,1),(19,1),(29,1),(31,1)}
      24:{2,3,5}:{(17,1),(29,1),(30,1)}
      25:{1,2,5}:{(18,1),(29,1)}
      26:{1,3,5,6}:{(19,1),(20,1),(21,1),(29,1),(31,1)}
      27:{2,4,6}:{(20,1),(30,1),(31,1),(32,1)}
      28:{3,5,6}:{(22,1),(32,1)}
      29:{1,3,5}:{(23,1),(24,1),(25,1),(33,1)}
      30:{2,4,5}:{(24,1),(27,1),(33,1),(34,1)}
      31:{1,4,6}:{(26,1),(27,1),(33,1)}
      32:{3,4,6}:{(27,1),(28,1),(34,1)}
      33:{1,4,5}:{(29,1),(30,1),(31,1)}
      34:{3,4,5}:{(30,1),(32,1)}

164 :  0:{2,4,5,6}:{(2,1),(3,1),(16,1),(19,1)}
       1:{2,3,4,6}:{(5,1),(6,1),(19,1),(28,1),(30,1)}
       2:{1,4,5,6}:{(0,1),(7,1),(27,1)}
       3:{3,5,6}:{(0,1),(10,1)}
       4:{3,4,5}:{(10,1),(12,1)}
       5:{2,3,5}:{(1,1),(12,1),(13,1)}
       6:{1,3,4,6}:{(1,1),(9,1),(13,1),(27,1),(33,1),(34,1)}
       7:{1,3,5,6}:{(2,1),(3,1),(15,1),(16,1)}
       8:{1,3,4,5}:{(4,1),(15,1),(17,1),(21,1),(32,1)}
       9:{1,2,4,6}:{(6,1),(14,1),(18,1),(29,1)}
      10:{3,4,6}:{(3,1),(4,1),(19,1)}
      11:{2,3,5,6}:{(3,1),(5,1),(16,1),(19,1),(20,1),(30,1)}
      12:{2,4,5}:{(4,1),(5,1),(19,1),(21,1)}
      13:{1,3,5}:{(5,1),(6,1),(18,1),(21,1)}
      14:{1,2,3,6}:{(9,1),(22,1),(34,1)}
      15:{1,3,4,6}:{(7,1),(8,1),(10,1),(23,1),(27,1),(34,1)}
      16:{2,5,6}:{(7,1),(23,1)}
      17:{2,4,5}:{(8,1),(23,1),(25,1)}
      18:{1,2,5}:{(9,1),(13,1)}
      19:{2,4,6}:{(10,1),(11,1),(12,1),(27,1)}
      20:{1,3,5,6}:{(11,1),(13,1),(24,1),(27,1),(34,1)}
      21:{1,4,5}:{(12,1),(13,1),(27,1)}
      22:{1,2,3,5}:{(14,1),(18,1),(29,1),(32,1)}
      23:{2,4,6}:{(15,1),(16,1),(17,1),(30,1)}
      24:{1,2,5,6}:{(16,1),(18,1),(20,1),(31,1)}
      25:{2,3,5}:{(17,1),(28,1),(30,1),(32,1)}
      26:{1,2,4,5}:{(17,1),(18,1),(21,1),(29,1),(31,1),(32,1)}
      27:{1,4,6}:{(19,1),(20,1),(21,1)}
      28:{2,3,4}:{(25,1),(33,1)}
      29:{1,2,4}:{(22,1),(33,1)}
      30:{2,3,6}:{(23,1),(25,1),(34,1)}
      31:{1,2,4,6}:{(23,1),(24,1),(26,1),(27,1),(34,1)}
      32:{1,3,5}:{(25,1),(26,1),(33,1),(34,1)}
      33:{1,3,4}:{(28,1),(29,1),(32,1)}
      34:{1,3,6}:{(30,1),(31,1),(32,1)}

165 :  0:{2,3,4,6}:{(1,1),(2,1),(10,1),(33,1),(34,1)}
       1:{1,3,4,6}:{(0,1),(5,1),(6,1),(18,1),(29,1),(30,1)}
       2:{2,3,5}:{(0,1),(6,1),(7,1)}
       3:{2,3,5,6}:{(2,1),(9,1),(10,1),(12,1),(26,1),(34,1)}
       4:{2,4,5,6}:{(10,1),(11,1),(12,1),(26,1)}
       5:{1,2,4,6}:{(1,1),(8,1),(13,1),(23,1)}
       6:{1,3,5}:{(1,1),(2,1),(13,1),(14,1)}
       7:{2,4,5}:{(2,1),(10,1),(14,1),(15,1)}
       8:{1,2,3,6}:{(5,1),(16,1),(30,1)}
       9:{1,3,5,6}:{(3,1),(6,1),(17,1),(18,1),(30,1)}
      10:{2,4,6}:{(3,1),(7,1),(18,1),(19,1)}
      11:{1,4,5,6}:{(4,1),(18,1),(20,1)}
      12:{3,5,6}:{(4,1),(19,1)}
      13:{1,2,5}:{(5,1),(6,1)}
      14:{1,4,5}:{(6,1),(7,1),(18,1)}
      15:{3,4,5}:{(7,1),(19,1)}
      16:{1,2,3,5}:{(8,1),(13,1),(23,1),(27,1)}
      17:{1,2,5,6}:{(9,1),(13,1),(24,1),(26,1)}
      18:{1,4,6}:{(9,1),(10,1),(14,1)}
      19:{3,4,6}:{(10,1),(12,1),(15,1)}
      20:{1,3,5,6}:{(11,1),(12,1),(25,1),(26,1)}
      21:{1,2,4,5}:{(13,1),(14,1),(23,1),(24,1),(27,1),(28,1)}
      22:{1,3,4,5}:{(14,1),(15,1),(25,1),(27,1),(28,1)}
      23:{1,2,4}:{(16,1),(29,1)}
      24:{1,2,4,6}:{(17,1),(18,1),(21,1),(30,1),(31,1)}
      25:{1,3,4,6}:{(18,1),(19,1),(20,1),(22,1),(30,1),(31,1)}
      26:{2,5,6}:{(20,1),(31,1)}
      27:{1,3,5}:{(21,1),(29,1),(30,1),(32,1)}
      28:{2,4,5}:{(22,1),(31,1),(32,1)}
      29:{1,3,4}:{(23,1),(27,1),(33,1)}
      30:{1,3,6}:{(24,1),(27,1),(34,1)}
      31:{2,4,6}:{(25,1),(26,1),(28,1),(34,1)}
      32:{2,3,5}:{(27,1),(28,1),(33,1),(34,1)}
      33:{2,3,4}:{(29,1),(32,1)}
      34:{2,3,6}:{(30,1),(31,1),(32,1)}

166 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(11,1),(15,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(15,1)}
       2:{2,4,6}:{(0,1),(6,1),(8,1),(17,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(18,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1)}
       5:{1,4,6}:{(1,1),(9,1),(10,1)}
       6:{2,3,6}:{(2,1),(11,1),(12,1),(15,1)}
       7:{1,2,4,6}:{(2,1),(11,1),(13,1),(19,1)}
       8:{2,5}:{(2,1),(3,1)}
       9:{1,4,5}:{(3,1),(5,1),(14,1),(19,1)}
      10:{2,4,6}:{(4,1),(5,1),(14,1),(15,1)}
      11:{1,3,6}:{(6,1),(7,1),(16,1)}
      12:{2,3,5}:{(6,1),(8,1),(16,1),(17,1),(18,1)}
      13:{1,2,5}:{(7,1),(8,1),(16,1)}
      14:{2,4,5}:{(8,1),(9,1),(10,1),(17,1),(18,1)}
      15:{3,6}:{(10,1),(18,1)}
      16:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      17:{2,4}:{(12,1),(19,1),(20,1)}
      18:{3,5}:{(14,1),(15,1),(20,1)}
      19:{1,4}:{(16,1),(17,1)}
      20:{3,4}:{(17,1),(18,1)}

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

168 :  0:{2,4,5,6}:{(1,1),(2,1),(11,1),(12,1)}
       1:{1,4,5,6}:{(0,1),(4,1),(20,1)}
       2:{3,5,6}:{(0,1),(5,1)}
       3:{2,3,4,6}:{(8,1),(9,1),(12,1),(25,1),(31,1)}
       4:{1,3,5,6}:{(1,1),(2,1),(10,1),(11,1)}
       5:{3,4,6}:{(2,1),(7,1),(12,1)}
       6:{2,3,5,6}:{(2,1),(8,1),(11,1),(12,1),(13,1),(25,1)}
       7:{3,4,5}:{(5,1),(16,1)}
       8:{2,3,5}:{(3,1),(16,1),(17,1)}
       9:{1,3,4,6}:{(3,1),(15,1),(17,1),(20,1),(30,1),(34,1)}
      10:{1,3,4,6}:{(4,1),(5,1),(14,1),(18,1),(20,1),(30,1)}
      11:{2,5,6}:{(4,1),(18,1)}
      12:{2,4,6}:{(5,1),(6,1),(16,1),(20,1)}
      13:{1,3,5,6}:{(6,1),(17,1),(19,1),(20,1),(30,1)}
      14:{1,3,4,5}:{(7,1),(10,1),(22,1),(24,1),(33,1)}
      15:{1,2,4,6}:{(9,1),(21,1),(23,1),(32,1)}
      16:{2,4,5}:{(7,1),(8,1),(12,1),(24,1)}
      17:{1,3,5}:{(8,1),(9,1),(23,1),(24,1)}
      18:{2,4,6}:{(10,1),(11,1),(22,1),(25,1)}
      19:{1,2,5,6}:{(11,1),(13,1),(23,1),(26,1)}
      20:{1,4,6}:{(12,1),(13,1),(24,1)}
      21:{1,2,3,6}:{(15,1),(27,1),(30,1)}
      22:{2,4,5}:{(14,1),(18,1),(28,1)}
      23:{1,2,5}:{(15,1),(17,1)}
      24:{1,4,5}:{(16,1),(17,1),(20,1)}
      25:{2,3,6}:{(18,1),(28,1),(30,1)}
      26:{1,2,4,6}:{(18,1),(19,1),(20,1),(29,1),(30,1)}
      27:{1,2,3,5}:{(21,1),(23,1),(32,1),(33,1)}
      28:{2,3,5}:{(22,1),(25,1),(31,1),(33,1)}
      29:{1,2,4,5}:{(22,1),(23,1),(24,1),(26,1),(32,1),(33,1)}
      30:{1,3,6}:{(25,1),(26,1),(33,1)}
      31:{2,3,4}:{(28,1),(34,1)}
      32:{1,2,4}:{(27,1),(34,1)}
      33:{1,3,5}:{(28,1),(29,1),(30,1),(34,1)}
      34:{1,3,4}:{(31,1),(32,1),(33,1)}

169 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
       2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       3:{1,2,3,6}:{(1,1),(5,1)}
       4:{1,3,4,5}:{(2,1),(6,1),(7,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1)}
       6:{2,3,4,5}:{(4,1),(9,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{1,2,5,6}:{(5,1),(10,1)}
       9:{2,3,4,6}:{(6,1),(7,1),(11,1)}
      10:{1,3,5,6}:{(7,1),(8,1),(11,1),(12,1)}
      11:{2,3,5,6}:{(9,1),(10,1),(13,1)}
      12:{1,4,5,6}:{(10,1),(13,1)}
      13:{2,4,5,6}:{(11,1),(12,1),(14,1)}
      14:{3,4,5,6}:{(13,1)}

170 :  0:{1,3,4,5}:{(3,1),(4,1),(18,1),(21,1),(33,1)}
       1:{1,2,3,5}:{(6,1),(7,1),(18,1),(24,1)}
       2:{1,4,5,6}:{(8,1),(10,1),(34,1)}
       3:{1,3,4,6}:{(0,1),(10,1),(11,1),(25,1),(27,1),(34,1)}
       4:{2,4,5}:{(0,1),(9,1),(11,1)}
       5:{2,3,4}:{(9,1),(14,1)}
       6:{1,2,4}:{(1,1),(14,1)}
       7:{1,2,3,6}:{(1,1),(15,1),(27,1)}
       8:{2,4,5,6}:{(2,1),(16,1),(19,1),(31,1)}
       9:{2,3,5}:{(4,1),(5,1),(17,1),(18,1)}
      10:{1,3,5,6}:{(2,1),(3,1),(16,1),(19,1)}
      11:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
      12:{1,2,4,5}:{(4,1),(6,1),(18,1),(20,1),(24,1),(33,1)}
      13:{2,3,4,6}:{(5,1),(17,1),(22,1),(23,1),(31,1)}
      14:{1,3,4}:{(5,1),(6,1),(18,1)}
      15:{1,2,4,6}:{(6,1),(7,1),(23,1),(24,1)}
      16:{3,5,6}:{(8,1),(25,1)}
      17:{2,3,6}:{(9,1),(11,1),(27,1)}
      18:{1,3,5}:{(9,1),(12,1),(14,1),(27,1)}
      19:{2,5,6}:{(10,1),(11,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1),(34,1)}
      21:{3,4,5}:{(25,1),(29,1)}
      22:{2,3,5}:{(13,1),(29,1),(30,1)}
      23:{1,3,4,6}:{(13,1),(14,1),(15,1),(27,1),(30,1),(34,1)}
      24:{1,2,5}:{(15,1),(30,1)}
      25:{3,4,6}:{(16,1),(21,1),(31,1)}
      26:{2,3,5,6}:{(16,1),(17,1),(19,1),(22,1),(31,1),(32,1)}
      27:{1,3,6}:{(17,1),(18,1),(20,1)}
      28:{1,2,5,6}:{(19,1),(20,1),(24,1),(32,1)}
      29:{2,4,5}:{(21,1),(22,1),(31,1),(33,1)}
      30:{1,3,5}:{(22,1),(23,1),(24,1),(33,1)}
      31:{2,4,6}:{(25,1),(26,1),(29,1),(34,1)}
      32:{1,3,5,6}:{(26,1),(27,1),(28,1),(30,1),(34,1)}
      33:{1,4,5}:{(29,1),(30,1),(34,1)}
      34:{1,4,6}:{(31,1),(32,1),(33,1)}

171 :  0:{1,4,5,6}:{(2,1),(4,1),(33,1)}
       1:{1,2,3,6}:{(6,1),(7,1),(34,1)}
       2:{2,4,5,6}:{(0,1),(8,1),(13,1),(27,1)}
       3:{2,3,4,6}:{(10,1),(11,1),(16,1),(27,1),(30,1)}
       4:{1,3,5,6}:{(0,1),(8,1),(12,1),(13,1)}
       5:{1,3,4,5}:{(9,1),(12,1),(14,1),(29,1),(32,1)}
       6:{1,2,4,6}:{(1,1),(11,1),(15,1),(17,1)}
       7:{1,2,3,5}:{(1,1),(15,1),(17,1),(32,1)}
       8:{3,5,6}:{(2,1),(18,1)}
       9:{3,4,5}:{(18,1),(20,1)}
      10:{2,3,5}:{(3,1),(20,1),(21,1)}
      11:{1,3,4,6}:{(3,1),(6,1),(21,1),(26,1),(33,1),(34,1)}
      12:{1,3,4,6}:{(4,1),(5,1),(18,1),(22,1),(33,1),(34,1)}
      13:{2,5,6}:{(4,1),(22,1)}
      14:{2,4,5}:{(5,1),(22,1),(24,1)}
      15:{1,2,5}:{(6,1),(21,1)}
      16:{2,3,4}:{(24,1),(26,1)}
      17:{1,2,4}:{(7,1),(26,1)}
      18:{3,4,6}:{(8,1),(9,1),(27,1)}
      19:{2,3,5,6}:{(8,1),(10,1),(13,1),(27,1),(28,1),(30,1)}
      20:{2,4,5}:{(9,1),(10,1),(27,1),(29,1)}
      21:{1,3,5}:{(10,1),(11,1),(15,1),(29,1)}
      22:{2,4,6}:{(12,1),(13,1),(14,1),(30,1)}
      23:{1,2,5,6}:{(13,1),(15,1),(28,1),(31,1)}
      24:{2,3,5}:{(14,1),(16,1),(30,1),(32,1)}
      25:{1,2,4,5}:{(14,1),(15,1),(17,1),(29,1),(31,1),(32,1)}
      26:{1,3,4}:{(16,1),(17,1),(32,1)}
      27:{2,4,6}:{(18,1),(19,1),(20,1),(33,1)}
      28:{1,3,5,6}:{(19,1),(21,1),(23,1),(33,1),(34,1)}
      29:{1,4,5}:{(20,1),(21,1),(33,1)}
      30:{2,3,6}:{(22,1),(24,1),(34,1)}
      31:{1,2,4,6}:{(22,1),(23,1),(25,1),(33,1),(34,1)}
      32:{1,3,5}:{(24,1),(25,1),(26,1),(34,1)}
      33:{1,4,6}:{(27,1),(28,1),(29,1)}
      34:{1,3,6}:{(30,1),(31,1),(32,1)}

172 :  0:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(13,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(12,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1)}
       4:{1,2,4,5,6}:{(2,1),(7,1),(13,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(13,1)}
       7:{1,3,5,6}:{(4,1),(5,1),(10,1),(11,1)}
       8:{1,3,4,5}:{(5,1),(10,1),(12,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1)}
      10:{1,3,4,6}:{(7,1),(8,1),(13,1)}
      11:{2,3,5,6}:{(7,1),(9,1),(13,1)}
      12:{2,4,5}:{(8,1),(9,1),(13,1)}
      13:{2,4,6}:{(10,1),(11,1),(12,1)}

173 :  0:{1,3,4,5}:{(2,1),(3,1),(14,1),(31,1),(32,1)}
       1:{1,2,3,5}:{(5,1),(6,1),(14,1),(21,1)}
       2:{2,4,5}:{(0,1),(7,1),(9,1)}
       3:{1,3,4,6}:{(0,1),(9,1),(10,1),(22,1),(33,1),(34,1)}
       4:{2,3,4}:{(7,1),(11,1)}
       5:{1,2,4}:{(1,1),(11,1)}
       6:{1,2,3,6}:{(1,1),(13,1),(22,1)}
       7:{2,3,5}:{(2,1),(4,1),(14,1),(15,1)}
       8:{1,2,4,5}:{(2,1),(5,1),(14,1),(16,1),(21,1),(31,1)}
       9:{2,4,6}:{(2,1),(3,1),(15,1),(17,1)}
      10:{1,3,5,6}:{(3,1),(17,1),(18,1),(30,1)}
      11:{1,3,4}:{(4,1),(5,1),(14,1)}
      12:{2,3,4,6}:{(4,1),(15,1),(19,1),(20,1),(29,1)}
      13:{1,2,4,6}:{(5,1),(6,1),(19,1),(21,1)}
      14:{1,3,5}:{(7,1),(8,1),(11,1),(22,1)}
      15:{2,3,6}:{(7,1),(9,1),(22,1)}
      16:{1,2,4,6}:{(8,1),(9,1),(22,1),(24,1),(33,1)}
      17:{2,5,6}:{(9,1),(10,1)}
      18:{1,4,5,6}:{(10,1),(25,1),(33,1)}
      19:{1,3,4,6}:{(11,1),(12,1),(13,1),(22,1),(26,1),(33,1)}
      20:{2,3,5}:{(12,1),(26,1),(27,1)}
      21:{1,2,5}:{(13,1),(26,1)}
      22:{1,3,6}:{(14,1),(15,1),(16,1)}
      23:{2,3,5,6}:{(15,1),(17,1),(20,1),(28,1),(29,1),(30,1)}
      24:{1,2,5,6}:{(16,1),(17,1),(21,1),(28,1)}
      25:{2,4,5,6}:{(17,1),(18,1),(29,1),(30,1)}
      26:{1,3,5}:{(19,1),(20,1),(21,1),(31,1)}
      27:{2,4,5}:{(20,1),(29,1),(31,1),(32,1)}
      28:{1,3,5,6}:{(22,1),(23,1),(24,1),(26,1),(33,1)}
      29:{2,4,6}:{(23,1),(27,1),(33,1),(34,1)}
      30:{3,5,6}:{(25,1),(34,1)}
      31:{1,4,5}:{(26,1),(27,1),(33,1)}
      32:{3,4,5}:{(27,1),(34,1)}
      33:{1,4,6}:{(28,1),(29,1),(31,1)}
      34:{3,4,6}:{(29,1),(30,1),(32,1)}

174 :  0:{2,4,5,6}:{(2,1),(3,1),(17,1),(20,1)}
       1:{2,3,4,6}:{(5,1),(6,1),(20,1),(23,1),(31,1)}
       2:{1,4,5,6}:{(0,1),(8,1),(29,1)}
       3:{3,5,6}:{(0,1),(11,1)}
       4:{3,4,5}:{(11,1),(13,1)}
       5:{2,3,5}:{(1,1),(13,1),(14,1)}
       6:{1,3,4,6}:{(1,1),(10,1),(14,1),(29,1),(30,1),(34,1)}
       7:{1,2,3,6}:{(10,1),(15,1),(34,1)}
       8:{1,3,5,6}:{(2,1),(3,1),(16,1),(17,1)}
       9:{1,3,4,5}:{(4,1),(16,1),(18,1),(22,1),(33,1)}
      10:{1,2,4,6}:{(6,1),(7,1),(19,1),(24,1)}
      11:{3,4,6}:{(3,1),(4,1),(20,1)}
      12:{2,3,5,6}:{(3,1),(5,1),(17,1),(20,1),(21,1),(31,1)}
      13:{2,4,5}:{(4,1),(5,1),(20,1),(22,1)}
      14:{1,3,5}:{(5,1),(6,1),(19,1),(22,1)}
      15:{1,2,3,5}:{(7,1),(19,1),(24,1),(33,1)}
      16:{1,3,4,6}:{(8,1),(9,1),(11,1),(25,1),(29,1),(34,1)}
      17:{2,5,6}:{(8,1),(25,1)}
      18:{2,4,5}:{(9,1),(25,1),(27,1)}
      19:{1,2,5}:{(10,1),(14,1)}
      20:{2,4,6}:{(11,1),(12,1),(13,1),(29,1)}
      21:{1,3,5,6}:{(12,1),(14,1),(26,1),(29,1),(34,1)}
      22:{1,4,5}:{(13,1),(14,1),(29,1)}
      23:{2,3,4}:{(27,1),(30,1)}
      24:{1,2,4}:{(15,1),(30,1)}
      25:{2,4,6}:{(16,1),(17,1),(18,1),(31,1)}
      26:{1,2,5,6}:{(17,1),(19,1),(21,1),(32,1)}
      27:{2,3,5}:{(18,1),(23,1),(31,1),(33,1)}
      28:{1,2,4,5}:{(18,1),(19,1),(22,1),(24,1),(32,1),(33,1)}
      29:{1,4,6}:{(20,1),(21,1),(22,1)}
      30:{1,3,4}:{(23,1),(24,1),(33,1)}
      31:{2,3,6}:{(25,1),(27,1),(34,1)}
      32:{1,2,4,6}:{(25,1),(26,1),(28,1),(29,1),(34,1)}
      33:{1,3,5}:{(27,1),(28,1),(30,1),(34,1)}
      34:{1,3,6}:{(31,1),(32,1),(33,1)}

175 :  0:{2,3,4,6}:{(1,1),(2,1),(11,1),(30,1),(34,1)}
       1:{1,3,4,6}:{(0,1),(6,1),(7,1),(19,1),(24,1),(31,1)}
       2:{2,3,5}:{(0,1),(7,1),(8,1)}
       3:{1,2,3,6}:{(6,1),(9,1),(31,1)}
       4:{2,3,5,6}:{(2,1),(10,1),(11,1),(13,1),(27,1),(34,1)}
       5:{2,4,5,6}:{(11,1),(12,1),(13,1),(27,1)}
       6:{1,2,4,6}:{(1,1),(3,1),(14,1),(17,1)}
       7:{1,3,5}:{(1,1),(2,1),(14,1),(15,1)}
       8:{2,4,5}:{(2,1),(11,1),(15,1),(16,1)}
       9:{1,2,3,5}:{(3,1),(14,1),(17,1),(28,1)}
      10:{1,3,5,6}:{(4,1),(7,1),(18,1),(19,1),(31,1)}
      11:{2,4,6}:{(4,1),(8,1),(19,1),(20,1)}
      12:{1,4,5,6}:{(5,1),(19,1),(21,1)}
      13:{3,5,6}:{(5,1),(20,1)}
      14:{1,2,5}:{(6,1),(7,1)}
      15:{1,4,5}:{(7,1),(8,1),(19,1)}
      16:{3,4,5}:{(8,1),(20,1)}
      17:{1,2,4}:{(9,1),(24,1)}
      18:{1,2,5,6}:{(10,1),(14,1),(25,1),(27,1)}
      19:{1,4,6}:{(10,1),(11,1),(15,1)}
      20:{3,4,6}:{(11,1),(13,1),(16,1)}
      21:{1,3,5,6}:{(12,1),(13,1),(26,1),(27,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(17,1),(25,1),(28,1),(29,1)}
      23:{1,3,4,5}:{(15,1),(16,1),(26,1),(28,1),(29,1)}
      24:{1,3,4}:{(17,1),(28,1),(30,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(22,1),(31,1),(32,1)}
      26:{1,3,4,6}:{(19,1),(20,1),(21,1),(23,1),(31,1),(32,1)}
      27:{2,5,6}:{(21,1),(32,1)}
      28:{1,3,5}:{(22,1),(24,1),(31,1),(33,1)}
      29:{2,4,5}:{(23,1),(32,1),(33,1)}
      30:{2,3,4}:{(24,1),(33,1)}
      31:{1,3,6}:{(25,1),(28,1),(34,1)}
      32:{2,4,6}:{(26,1),(27,1),(29,1),(34,1)}
      33:{2,3,5}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,3,6}:{(31,1),(32,1),(33,1)}

176 :  0:{1,2,4,5,6}:{(1,1),(5,1),(11,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(13,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(10,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(13,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1)}
       6:{1,2,3,5,6}:{(3,1),(9,1),(13,1)}
       7:{2,4,5}:{(4,1),(5,1),(10,1)}
       8:{2,3,4,6}:{(5,1),(10,1),(12,1)}
       9:{1,2,4,6}:{(5,1),(6,1),(11,1),(12,1)}
      10:{2,3,5}:{(7,1),(8,1),(13,1)}
      11:{1,2,4,5}:{(7,1),(9,1),(13,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(13,1)}
      13:{1,3,5}:{(10,1),(11,1),(12,1)}

177 :  0:{2,3,5,6}:{(3,1),(4,1),(14,1),(17,1),(20,1)}
       1:{1,2,5,6}:{(3,1),(5,1),(20,1)}
       2:{1,2,4,5}:{(5,1),(6,1),(13,1),(16,1),(20,1)}
       3:{1,3,5,6}:{(0,1),(1,1),(8,1),(11,1),(18,1)}
       4:{2,4,6}:{(0,1),(7,1),(8,1),(9,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(8,1),(11,1),(19,1)}
       6:{1,3,5}:{(2,1),(10,1),(11,1),(12,1)}
       7:{2,4,5}:{(4,1),(13,1),(14,1),(20,1)}
       8:{1,4,6}:{(3,1),(4,1),(13,1)}
       9:{3,4,6}:{(4,1),(14,1)}
      10:{1,3,4}:{(6,1),(16,1)}
      11:{1,3,6}:{(5,1),(6,1),(17,1)}
      12:{2,3,5}:{(6,1),(16,1),(17,1),(20,1)}
      13:{1,4,5}:{(7,1),(8,1),(18,1)}
      14:{3,5}:{(7,1),(9,1)}
      15:{1,3,4,6}:{(8,1),(9,1),(10,1),(11,1),(18,1),(19,1)}
      16:{2,4}:{(10,1),(12,1)}
      17:{2,3,6}:{(11,1),(12,1),(19,1)}
      18:{1,3,5}:{(13,1),(14,1),(15,1),(20,1)}
      19:{2,4,6}:{(15,1),(16,1),(17,1),(20,1)}
      20:{2,5}:{(18,1),(19,1)}

178 :  0:{1,2,3,5}:{(3,1),(4,1),(5,1),(18,1)}
       1:{1,2,4,5}:{(3,1),(5,1),(6,1),(7,1),(18,1),(29,1)}
       2:{1,3,4,5}:{(5,1),(7,1),(8,1),(29,1),(34,1)}
       3:{1,2,4}:{(0,1),(9,1)}
       4:{1,2,3,6}:{(0,1),(10,1),(12,1)}
       5:{1,3,5}:{(1,1),(9,1),(11,1),(12,1)}
       6:{1,2,4,6}:{(1,1),(12,1),(13,1),(14,1),(26,1)}
       7:{2,4,5}:{(2,1),(11,1),(14,1)}
       8:{1,3,4,6}:{(2,1),(12,1),(14,1),(15,1),(26,1),(33,1)}
       9:{1,3,4}:{(3,1),(5,1),(16,1)}
      10:{1,2,4,6}:{(3,1),(4,1),(17,1),(18,1)}
      11:{2,3,5}:{(5,1),(7,1),(16,1),(19,1)}
      12:{1,3,6}:{(5,1),(6,1),(19,1)}
      13:{1,2,5,6}:{(6,1),(18,1),(20,1),(21,1)}
      14:{2,4,6}:{(7,1),(8,1),(19,1),(21,1)}
      15:{1,3,5,6}:{(8,1),(21,1),(22,1),(31,1)}
      16:{2,3,4}:{(9,1),(11,1)}
      17:{1,3,4,6}:{(9,1),(10,1),(12,1),(23,1),(24,1),(26,1)}
      18:{1,2,5}:{(10,1),(24,1)}
      19:{2,3,6}:{(11,1),(12,1),(14,1)}
      20:{1,3,5,6}:{(12,1),(13,1),(24,1),(25,1),(26,1)}
      21:{2,5,6}:{(14,1),(15,1)}
      22:{1,4,5,6}:{(15,1),(26,1),(27,1)}
      23:{2,3,4,6}:{(16,1),(17,1),(19,1),(28,1),(30,1)}
      24:{1,3,5}:{(17,1),(18,1),(28,1),(29,1)}
      25:{2,3,5,6}:{(19,1),(20,1),(21,1),(28,1),(30,1),(31,1)}
      26:{1,4,6}:{(20,1),(29,1),(30,1)}
      27:{2,4,5,6}:{(21,1),(22,1),(30,1),(31,1)}
      28:{2,3,5}:{(23,1),(24,1),(32,1)}
      29:{1,4,5}:{(24,1),(26,1),(32,1)}
      30:{2,4,6}:{(25,1),(26,1),(32,1),(33,1)}
      31:{3,5,6}:{(27,1),(33,1)}
      32:{2,4,5}:{(28,1),(29,1),(30,1),(34,1)}
      33:{3,4,6}:{(30,1),(31,1),(34,1)}
      34:{3,4,5}:{(32,1),(33,1)}

179 :  0:{2,3,5,6}:{(3,1),(4,1),(16,1),(17,1),(20,1)}
       1:{1,2,5,6}:{(3,1),(5,1),(20,1)}
       2:{1,2,4,5}:{(5,1),(6,1),(13,1),(15,1),(20,1)}
       3:{1,3,5,6}:{(0,1),(1,1),(7,1),(11,1),(18,1)}
       4:{2,4,6}:{(0,1),(7,1),(9,1),(10,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(11,1),(19,1)}
       6:{1,3,5}:{(2,1),(8,1),(11,1),(12,1)}
       7:{1,4,6}:{(3,1),(4,1),(13,1)}
       8:{1,3,4}:{(6,1),(15,1)}
       9:{2,4,5}:{(4,1),(13,1),(16,1),(20,1)}
      10:{3,4,6}:{(4,1),(16,1)}
      11:{1,3,6}:{(5,1),(6,1),(17,1)}
      12:{2,3,5}:{(6,1),(15,1),(17,1),(20,1)}
      13:{1,4,5}:{(7,1),(9,1),(18,1)}
      14:{1,3,4,6}:{(7,1),(8,1),(10,1),(11,1),(18,1),(19,1)}
      15:{2,4}:{(8,1),(12,1)}
      16:{3,5}:{(9,1),(10,1)}
      17:{2,3,6}:{(11,1),(12,1),(19,1)}
      18:{1,3,5}:{(13,1),(14,1),(16,1),(20,1)}
      19:{2,4,6}:{(14,1),(15,1),(17,1),(20,1)}
      20:{2,5}:{(18,1),(19,1)}

180 :  0:{1,3,4,5}:{(2,1),(3,1),(15,1),(25,1),(34,1)}
       1:{1,4,5,6}:{(5,1),(7,1),(33,1)}
       2:{1,3,4,6}:{(0,1),(7,1),(8,1),(21,1),(23,1),(33,1)}
       3:{2,4,5}:{(0,1),(6,1),(8,1)}
       4:{1,2,3,5}:{(11,1),(12,1),(15,1),(28,1)}
       5:{2,4,5,6}:{(1,1),(13,1),(16,1),(29,1)}
       6:{2,3,5}:{(3,1),(10,1),(14,1),(15,1)}
       7:{1,3,5,6}:{(1,1),(2,1),(13,1),(16,1)}
       8:{2,4,6}:{(2,1),(3,1),(14,1),(16,1)}
       9:{1,2,4,5}:{(3,1),(11,1),(15,1),(17,1),(28,1),(34,1)}
      10:{2,3,4}:{(6,1),(19,1)}
      11:{1,2,4}:{(4,1),(19,1)}
      12:{1,2,3,6}:{(4,1),(20,1),(23,1)}
      13:{3,5,6}:{(5,1),(21,1)}
      14:{2,3,6}:{(6,1),(8,1),(23,1)}
      15:{1,3,5}:{(6,1),(9,1),(19,1),(23,1)}
      16:{2,5,6}:{(7,1),(8,1)}
      17:{1,2,4,6}:{(8,1),(9,1),(23,1),(24,1),(33,1)}
      18:{2,3,4,6}:{(10,1),(14,1),(26,1),(27,1),(29,1)}
      19:{1,3,4}:{(10,1),(11,1),(15,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1)}
      21:{3,4,6}:{(13,1),(25,1),(29,1)}
      22:{2,3,5,6}:{(13,1),(14,1),(16,1),(26,1),(29,1),(30,1)}
      23:{1,3,6}:{(14,1),(15,1),(17,1)}
      24:{1,2,5,6}:{(16,1),(17,1),(28,1),(30,1)}
      25:{3,4,5}:{(21,1),(31,1)}
      26:{2,3,5}:{(18,1),(31,1),(32,1)}
      27:{1,3,4,6}:{(18,1),(19,1),(20,1),(23,1),(32,1),(33,1)}
      28:{1,2,5}:{(20,1),(32,1)}
      29:{2,4,6}:{(21,1),(22,1),(31,1),(33,1)}
      30:{1,3,5,6}:{(22,1),(23,1),(24,1),(32,1),(33,1)}
      31:{2,4,5}:{(25,1),(26,1),(29,1),(34,1)}
      32:{1,3,5}:{(26,1),(27,1),(28,1),(34,1)}
      33:{1,4,6}:{(29,1),(30,1),(34,1)}
      34:{1,4,5}:{(31,1),(32,1),(33,1)}

181 :  0:{2,3,4,5}:{(1,1),(2,1)}
       1:{1,3,4,5}:{(0,1),(3,1),(4,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
       4:{1,3,4,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{2,3,5,6}:{(2,1),(8,1),(9,1)}
       6:{1,2,3,5}:{(3,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,3,5,6}:{(4,1),(5,1),(12,1),(13,1)}
       9:{2,4,5,6}:{(5,1),(13,1),(14,1)}
      10:{1,2,3,4}:{(6,1)}
      11:{1,2,3,6}:{(6,1),(7,1)}
      12:{1,2,5,6}:{(7,1),(8,1)}
      13:{1,4,5,6}:{(8,1),(9,1)}
      14:{3,4,5,6}:{(9,1)}

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

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

184 :  0:{2,3,4,6}:{(3,1),(4,1),(6,1),(31,1),(34,1)}
       1:{2,3,5,6}:{(4,1),(5,1),(6,1),(8,1),(22,1),(31,1)}
       2:{2,4,5,6}:{(6,1),(7,1),(8,1),(22,1)}
       3:{1,3,4,6}:{(0,1),(9,1),(10,1),(13,1),(26,1),(32,1)}
       4:{2,3,5}:{(0,1),(10,1),(11,1)}
       5:{1,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(26,1)}
       6:{2,4,6}:{(1,1),(11,1),(13,1),(14,1)}
       7:{1,4,5,6}:{(2,1),(13,1),(15,1)}
       8:{3,5,6}:{(2,1),(14,1)}
       9:{1,2,4,6}:{(3,1),(16,1),(17,1),(28,1)}
      10:{1,3,5}:{(3,1),(4,1),(17,1),(18,1)}
      11:{2,4,5}:{(4,1),(6,1),(18,1),(19,1)}
      12:{1,2,5,6}:{(5,1),(17,1),(20,1),(22,1)}
      13:{1,4,6}:{(5,1),(6,1),(18,1)}
      14:{3,4,6}:{(6,1),(8,1),(19,1)}
      15:{1,3,5,6}:{(7,1),(8,1),(21,1),(22,1)}
      16:{1,2,3,6}:{(9,1),(23,1),(26,1)}
      17:{1,2,5}:{(9,1),(10,1)}
      18:{1,4,5}:{(10,1),(11,1),(13,1)}
      19:{3,4,5}:{(11,1),(14,1)}
      20:{1,2,4,6}:{(12,1),(13,1),(24,1),(26,1),(27,1)}
      21:{1,3,4,6}:{(13,1),(14,1),(15,1),(25,1),(26,1),(27,1)}
      22:{2,5,6}:{(15,1),(27,1)}
      23:{1,2,3,5}:{(16,1),(17,1),(28,1),(29,1)}
      24:{1,2,4,5}:{(17,1),(18,1),(20,1),(28,1),(29,1),(30,1)}
      25:{1,3,4,5}:{(18,1),(19,1),(21,1),(29,1),(30,1)}
      26:{1,3,6}:{(20,1),(29,1),(31,1)}
      27:{2,4,6}:{(21,1),(22,1),(30,1),(31,1)}
      28:{1,2,4}:{(23,1),(32,1)}
      29:{1,3,5}:{(24,1),(26,1),(32,1),(33,1)}
      30:{2,4,5}:{(25,1),(27,1),(33,1)}
      31:{2,3,6}:{(26,1),(27,1),(33,1)}
      32:{1,3,4}:{(28,1),(29,1),(34,1)}
      33:{2,3,5}:{(29,1),(30,1),(31,1),(34,1)}
      34:{2,3,4}:{(32,1),(33,1)}

185 :  0:{3,4,5,6}:{(1,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,4,5,6}:{(1,1),(5,1)}
       4:{2,3,4,6}:{(2,1),(6,1),(7,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(7,1),(8,1)}
       6:{2,3,4,5}:{(4,1),(9,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{1,2,5,6}:{(5,1),(10,1)}
       9:{1,3,4,5}:{(6,1),(7,1),(11,1)}
      10:{1,2,4,6}:{(7,1),(8,1),(11,1),(12,1)}
      11:{1,2,4,5}:{(9,1),(10,1),(13,1)}
      12:{1,2,3,6}:{(10,1),(13,1)}
      13:{1,2,3,5}:{(11,1),(12,1),(14,1)}
      14:{1,2,3,4}:{(13,1)}

186 :  0:{1,2,3,4,6}:{(1,1),(4,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(9,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{1,3,4,5}:{(3,1),(7,1),(8,1)}
       6:{1,2,4,5,6}:{(4,1),(9,1),(13,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{2,3,4,5}:{(5,1),(10,1)}
       9:{1,3,5,6}:{(6,1),(7,1),(12,1)}
      10:{2,3,4,6}:{(7,1),(8,1),(12,1)}
      11:{1,3,4,5,6}:{(9,1),(13,1)}
      12:{2,3,5,6}:{(9,1),(10,1),(13,1)}
      13:{2,4,5,6}:{(11,1),(12,1)}

187 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
       2:{2,3,4,5}:{(5,1),(6,1)}
       3:{1,2,4,5}:{(1,1),(5,1),(7,1)}
       4:{1,2,3,6}:{(1,1),(7,1)}
       5:{1,3,4,5}:{(2,1),(3,1),(8,1)}
       6:{2,3,4,6}:{(2,1),(8,1),(9,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(8,1),(10,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(7,1),(11,1)}
       9:{2,3,5,6}:{(6,1),(11,1),(12,1)}
      10:{1,2,5,6}:{(7,1),(11,1)}
      11:{1,3,5,6}:{(8,1),(9,1),(10,1),(13,1)}
      12:{2,4,5,6}:{(9,1),(13,1),(14,1)}
      13:{1,4,5,6}:{(11,1),(12,1)}
      14:{3,4,5,6}:{(12,1)}

188 :  0:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(13,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(12,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1)}
       4:{1,2,4,5,6}:{(2,1),(7,1),(13,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(13,1)}
       7:{1,3,5,6}:{(4,1),(5,1),(10,1),(11,1)}
       8:{1,3,4,5}:{(5,1),(10,1),(12,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1)}
      10:{1,3,4,6}:{(7,1),(8,1),(13,1)}
      11:{2,3,5,6}:{(7,1),(9,1),(13,1)}
      12:{2,4,5}:{(8,1),(9,1),(13,1)}
      13:{2,4,6}:{(10,1),(11,1),(12,1)}

189 :  0:{1,3,4,5}:{(3,1),(4,1),(18,1),(21,1),(33,1)}
       1:{1,2,3,5}:{(6,1),(7,1),(18,1),(24,1)}
       2:{1,4,5,6}:{(8,1),(10,1),(34,1)}
       3:{1,3,4,6}:{(0,1),(10,1),(11,1),(25,1),(27,1),(34,1)}
       4:{2,4,5}:{(0,1),(9,1),(11,1)}
       5:{2,3,4}:{(9,1),(14,1)}
       6:{1,2,4}:{(1,1),(14,1)}
       7:{1,2,3,6}:{(1,1),(15,1),(27,1)}
       8:{2,4,5,6}:{(2,1),(16,1),(19,1),(31,1)}
       9:{2,3,5}:{(4,1),(5,1),(17,1),(18,1)}
      10:{1,3,5,6}:{(2,1),(3,1),(16,1),(19,1)}
      11:{2,4,6}:{(3,1),(4,1),(17,1),(19,1)}
      12:{1,2,4,5}:{(4,1),(6,1),(18,1),(20,1),(24,1),(33,1)}
      13:{2,3,4,6}:{(5,1),(17,1),(22,1),(23,1),(31,1)}
      14:{1,3,4}:{(5,1),(6,1),(18,1)}
      15:{1,2,4,6}:{(6,1),(7,1),(23,1),(24,1)}
      16:{3,5,6}:{(8,1),(25,1)}
      17:{2,3,6}:{(9,1),(11,1),(27,1)}
      18:{1,3,5}:{(9,1),(12,1),(14,1),(27,1)}
      19:{2,5,6}:{(10,1),(11,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1),(34,1)}
      21:{3,4,5}:{(25,1),(29,1)}
      22:{2,3,5}:{(13,1),(29,1),(30,1)}
      23:{1,3,4,6}:{(13,1),(14,1),(15,1),(27,1),(30,1),(34,1)}
      24:{1,2,5}:{(15,1),(30,1)}
      25:{3,4,6}:{(16,1),(21,1),(31,1)}
      26:{2,3,5,6}:{(16,1),(17,1),(19,1),(22,1),(31,1),(32,1)}
      27:{1,3,6}:{(17,1),(18,1),(20,1)}
      28:{1,2,5,6}:{(19,1),(20,1),(24,1),(32,1)}
      29:{2,4,5}:{(21,1),(22,1),(31,1),(33,1)}
      30:{1,3,5}:{(22,1),(23,1),(24,1),(33,1)}
      31:{2,4,6}:{(25,1),(26,1),(29,1),(34,1)}
      32:{1,3,5,6}:{(26,1),(27,1),(28,1),(30,1),(34,1)}
      33:{1,4,5}:{(29,1),(30,1),(34,1)}
      34:{1,4,6}:{(31,1),(32,1),(33,1)}

190 :  0:{2,3,4,5}:{(1,1),(2,1)}
       1:{1,3,4,5}:{(0,1),(3,1),(4,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,3,4,6}:{(1,1),(2,1),(8,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(10,1)}
       6:{1,2,3,4}:{(7,1)}
       7:{1,2,3,5}:{(3,1),(6,1),(11,1)}
       8:{1,2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(12,1),(13,1)}
      10:{2,4,5,6}:{(5,1),(13,1),(14,1)}
      11:{1,2,3,6}:{(7,1),(8,1)}
      12:{1,2,5,6}:{(8,1),(9,1)}
      13:{1,4,5,6}:{(9,1),(10,1)}
      14:{3,4,5,6}:{(10,1)}

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

192 :  0:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(13,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(12,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1)}
       4:{1,2,4,5,6}:{(2,1),(7,1),(13,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(13,1)}
       7:{1,3,5,6}:{(4,1),(5,1),(10,1),(11,1)}
       8:{1,3,4,5}:{(5,1),(10,1),(12,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1)}
      10:{1,3,4,6}:{(7,1),(8,1),(13,1)}
      11:{2,3,5,6}:{(7,1),(9,1),(13,1)}
      12:{2,4,5}:{(8,1),(9,1),(13,1)}
      13:{2,4,6}:{(10,1),(11,1),(12,1)}

193 :  0:{1,2,4,5,6}:{(1,1),(5,1),(11,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(13,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(10,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(13,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1)}
       6:{1,2,3,5,6}:{(3,1),(9,1),(13,1)}
       7:{2,4,5}:{(4,1),(5,1),(10,1)}
       8:{2,3,4,6}:{(5,1),(10,1),(12,1)}
       9:{1,2,4,6}:{(5,1),(6,1),(11,1),(12,1)}
      10:{2,3,5}:{(7,1),(8,1),(13,1)}
      11:{1,2,4,5}:{(7,1),(9,1),(13,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(13,1)}
      13:{1,3,5}:{(10,1),(11,1),(12,1)}

194 :  0:{1,3,4,5,6}:{(1,1),(5,1)}
       1:{2,4,5,6}:{(0,1),(2,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,2,4,5,6}:{(1,1),(5,1),(10,1)}
       4:{2,3,4,6}:{(2,1),(6,1),(7,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(7,1)}
       6:{2,3,4,5}:{(4,1),(9,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{1,2,3,5,6}:{(5,1),(10,1),(13,1)}
       9:{1,3,4,5}:{(6,1),(7,1),(11,1)}
      10:{1,2,4,6}:{(7,1),(8,1),(11,1)}
      11:{1,2,4,5}:{(9,1),(10,1),(13,1)}
      12:{1,2,3,4,6}:{(10,1),(13,1)}
      13:{1,2,3,5}:{(11,1),(12,1)}

195 :  0:{1,2,4,5,6}:{(1,1),(5,1),(11,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(13,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(10,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(13,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1)}
       6:{1,2,3,5,6}:{(3,1),(9,1),(13,1)}
       7:{2,4,5}:{(4,1),(5,1),(10,1)}
       8:{2,3,4,6}:{(5,1),(10,1),(12,1)}
       9:{1,2,4,6}:{(5,1),(6,1),(11,1),(12,1)}
      10:{2,3,5}:{(7,1),(8,1),(13,1)}
      11:{1,2,4,5}:{(7,1),(9,1),(13,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(13,1)}
      13:{1,3,5}:{(10,1),(11,1),(12,1)}

196 :  0:{2,3,5,6}:{(3,1),(4,1),(14,1),(17,1),(20,1)}
       1:{1,2,5,6}:{(3,1),(5,1),(20,1)}
       2:{1,2,4,5}:{(5,1),(6,1),(13,1),(16,1),(20,1)}
       3:{1,3,5,6}:{(0,1),(1,1),(8,1),(11,1),(18,1)}
       4:{2,4,6}:{(0,1),(7,1),(8,1),(9,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(8,1),(11,1),(19,1)}
       6:{1,3,5}:{(2,1),(10,1),(11,1),(12,1)}
       7:{2,4,5}:{(4,1),(13,1),(14,1),(20,1)}
       8:{1,4,6}:{(3,1),(4,1),(13,1)}
       9:{3,4,6}:{(4,1),(14,1)}
      10:{1,3,4}:{(6,1),(16,1)}
      11:{1,3,6}:{(5,1),(6,1),(17,1)}
      12:{2,3,5}:{(6,1),(16,1),(17,1),(20,1)}
      13:{1,4,5}:{(7,1),(8,1),(18,1)}
      14:{3,5}:{(7,1),(9,1)}
      15:{1,3,4,6}:{(8,1),(9,1),(10,1),(11,1),(18,1),(19,1)}
      16:{2,4}:{(10,1),(12,1)}
      17:{2,3,6}:{(11,1),(12,1),(19,1)}
      18:{1,3,5}:{(13,1),(14,1),(15,1),(20,1)}
      19:{2,4,6}:{(15,1),(16,1),(17,1),(20,1)}
      20:{2,5}:{(18,1),(19,1)}

197 :  0:{2,3,4,5}:{(1,1),(2,1)}
       1:{2,3,4,6}:{(0,1),(5,1),(6,1)}
       2:{1,3,4,5}:{(0,1),(3,1),(6,1)}
       3:{1,2,4,5}:{(2,1),(7,1),(8,1)}
       4:{3,4,5,6}:{(9,1)}
       5:{2,3,5,6}:{(1,1),(9,1),(10,1)}
       6:{1,3,4,6}:{(1,1),(2,1),(8,1),(10,1)}
       7:{1,2,3,5}:{(3,1),(11,1),(12,1)}
       8:{1,2,4,6}:{(3,1),(6,1),(12,1),(13,1)}
       9:{2,4,5,6}:{(4,1),(5,1),(14,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(13,1),(14,1)}
      11:{1,2,3,4}:{(7,1)}
      12:{1,2,3,6}:{(7,1),(8,1)}
      13:{1,2,5,6}:{(8,1),(10,1)}
      14:{1,4,5,6}:{(9,1),(10,1)}

198 :  0:{3,4,5,6}:{(1,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1)}
       2:{2,3,5,6}:{(1,1),(5,1),(6,1)}
       3:{1,4,5,6}:{(1,1),(6,1)}
       4:{2,3,4,5}:{(5,1),(7,1)}
       5:{2,3,4,6}:{(2,1),(4,1),(8,1)}
       6:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       7:{1,3,4,5}:{(4,1),(8,1),(10,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(7,1),(11,1)}
       9:{1,2,5,6}:{(6,1),(11,1)}
      10:{1,2,4,5}:{(7,1),(11,1),(12,1)}
      11:{1,2,4,6}:{(8,1),(9,1),(10,1),(14,1)}
      12:{1,2,3,5}:{(10,1),(13,1),(14,1)}
      13:{1,2,3,4}:{(12,1)}
      14:{1,2,3,6}:{(11,1),(12,1)}

199 :  0:{1,2,3,4,6}:{(1,1),(4,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(9,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{1,3,4,5}:{(3,1),(7,1),(8,1)}
       6:{1,2,4,5,6}:{(4,1),(9,1),(13,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{2,3,4,5}:{(5,1),(10,1)}
       9:{1,3,5,6}:{(6,1),(7,1),(12,1)}
      10:{2,3,4,6}:{(7,1),(8,1),(12,1)}
      11:{1,3,4,5,6}:{(9,1),(13,1)}
      12:{2,3,5,6}:{(9,1),(10,1),(13,1)}
      13:{2,4,5,6}:{(11,1),(12,1)}

200 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
       2:{2,3,4,5}:{(5,1),(6,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
       4:{1,2,3,6}:{(1,1),(7,1)}
       5:{2,3,4,6}:{(2,1),(9,1),(10,1)}
       6:{1,3,4,5}:{(2,1),(3,1),(10,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(10,1),(11,1)}
       8:{3,4,5,6}:{(12,1)}
       9:{2,3,5,6}:{(5,1),(12,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(7,1),(13,1)}
      11:{1,2,5,6}:{(7,1),(13,1)}
      12:{2,4,5,6}:{(8,1),(9,1),(14,1)}
      13:{1,3,5,6}:{(9,1),(10,1),(11,1),(14,1)}
      14:{1,4,5,6}:{(12,1),(13,1)}

201 :  0:{2,3,4,5}:{(2,1),(3,1)}
       1:{1,2,3,4}:{(4,1)}
       2:{1,3,4,5}:{(0,1),(5,1),(6,1)}
       3:{2,3,4,6}:{(0,1),(6,1),(7,1)}
       4:{1,2,3,5}:{(1,1),(5,1),(8,1)}
       5:{1,2,4,5}:{(2,1),(4,1),(9,1)}
       6:{1,3,4,6}:{(2,1),(3,1),(9,1),(10,1)}
       7:{2,3,5,6}:{(3,1),(10,1),(11,1)}
       8:{1,2,3,6}:{(4,1),(9,1)}
       9:{1,2,4,6}:{(5,1),(6,1),(8,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(7,1),(12,1),(13,1)}
      11:{2,4,5,6}:{(7,1),(13,1),(14,1)}
      12:{1,2,5,6}:{(9,1),(10,1)}
      13:{1,4,5,6}:{(10,1),(11,1)}
      14:{3,4,5,6}:{(11,1)}

202 :  0:{2,3,4,5}:{(1,1),(2,1)}
       1:{2,3,4,6}:{(0,1),(5,1),(6,1)}
       2:{1,3,4,5}:{(0,1),(3,1),(6,1)}
       3:{1,2,4,5}:{(2,1),(8,1),(9,1)}
       4:{3,4,5,6}:{(10,1)}
       5:{2,3,5,6}:{(1,1),(10,1),(11,1)}
       6:{1,3,4,6}:{(1,1),(2,1),(9,1),(11,1)}
       7:{1,2,3,4}:{(8,1)}
       8:{1,2,3,5}:{(3,1),(7,1),(12,1)}
       9:{1,2,4,6}:{(3,1),(6,1),(12,1),(13,1)}
      10:{2,4,5,6}:{(4,1),(5,1),(14,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(13,1),(14,1)}
      12:{1,2,3,6}:{(8,1),(9,1)}
      13:{1,2,5,6}:{(9,1),(11,1)}
      14:{1,4,5,6}:{(10,1),(11,1)}

203 :  0:{3,4,5,6}:{(1,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1)}
       2:{2,3,5,6}:{(1,1),(5,1),(6,1)}
       3:{1,4,5,6}:{(1,1),(6,1)}
       4:{2,3,4,5}:{(5,1),(7,1)}
       5:{2,3,4,6}:{(2,1),(4,1),(8,1)}
       6:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       7:{1,3,4,5}:{(4,1),(8,1),(10,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(7,1),(12,1)}
       9:{1,2,5,6}:{(6,1),(12,1)}
      10:{1,2,4,5}:{(7,1),(12,1),(13,1)}
      11:{1,2,3,4}:{(13,1)}
      12:{1,2,4,6}:{(8,1),(9,1),(10,1),(14,1)}
      13:{1,2,3,5}:{(10,1),(11,1),(14,1)}
      14:{1,2,3,6}:{(12,1),(13,1)}

204 :  0:{1,2,3,5,6}:{(1,1),(5,1),(11,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(13,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(12,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1)}
       4:{1,2,4,5,6}:{(2,1),(7,1),(13,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(13,1)}
       7:{1,3,5,6}:{(4,1),(5,1),(10,1),(11,1)}
       8:{1,3,4,5}:{(5,1),(10,1),(12,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1)}
      10:{1,3,4,6}:{(7,1),(8,1),(13,1)}
      11:{2,3,5,6}:{(7,1),(9,1),(13,1)}
      12:{2,4,5}:{(8,1),(9,1),(13,1)}
      13:{2,4,6}:{(10,1),(11,1),(12,1)}

205 :  0:{1,2,4,5,6}:{(2,1),(6,1),(9,1)}
       1:{1,2,3,5,6}:{(3,1),(5,1),(10,1)}
       2:{1,3,5,6}:{(0,1),(4,1),(5,1),(10,1)}
       3:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1)}
       4:{1,3,4,6}:{(2,1),(7,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(13,1)}
       6:{1,2,4,5}:{(3,1),(10,1),(11,1)}
       7:{1,3,4,5}:{(4,1),(10,1),(11,1)}
       8:{1,3,4,6}:{(3,1),(10,1),(12,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1)}
      10:{1,3,5}:{(6,1),(8,1),(13,1)}
      11:{2,4,5}:{(7,1),(9,1),(13,1)}
      12:{2,3,4,6}:{(8,1),(9,1),(13,1)}
      13:{2,3,5}:{(10,1),(11,1),(12,1)}

206 :  0:{1,2,3,5,6}:{(1,1),(6,1),(9,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(12,1)}
       2:{1,2,4,5,6}:{(3,1),(5,1),(12,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(13,1)}
       4:{1,3,4,6}:{(1,1),(6,1),(7,1)}
       5:{1,3,5,6}:{(2,1),(6,1),(8,1),(9,1)}
       6:{1,3,5}:{(3,1),(4,1),(11,1)}
       7:{2,3,4,6}:{(4,1),(11,1),(12,1)}
       8:{1,3,4,6}:{(5,1),(10,1),(12,1)}
       9:{2,3,5,6}:{(5,1),(11,1),(12,1)}
      10:{1,3,4,5}:{(6,1),(8,1),(13,1)}
      11:{2,3,5}:{(6,1),(7,1),(13,1)}
      12:{2,4,6}:{(8,1),(9,1),(13,1)}
      13:{2,4,5}:{(10,1),(11,1),(12,1)}

207 :  0:{1,2,4,5,6}:{(1,1),(5,1),(11,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(13,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(10,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(13,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1)}
       6:{1,2,3,5,6}:{(3,1),(9,1),(13,1)}
       7:{2,4,5}:{(4,1),(5,1),(10,1)}
       8:{2,3,4,6}:{(5,1),(10,1),(12,1)}
       9:{1,2,4,6}:{(5,1),(6,1),(11,1),(12,1)}
      10:{2,3,5}:{(7,1),(8,1),(13,1)}
      11:{1,2,4,5}:{(7,1),(9,1),(13,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(13,1)}
      13:{1,3,5}:{(10,1),(11,1),(12,1)}

208 :  0:{1,3,4,5,6}:{(1,1),(5,1)}
       1:{2,4,5,6}:{(0,1),(2,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,2,4,5,6}:{(1,1),(5,1),(10,1)}
       4:{2,3,4,6}:{(2,1),(6,1),(7,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(7,1)}
       6:{2,3,4,5}:{(4,1),(9,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{1,2,3,5,6}:{(5,1),(10,1),(13,1)}
       9:{1,3,4,5}:{(6,1),(7,1),(11,1)}
      10:{1,2,4,6}:{(7,1),(8,1),(11,1)}
      11:{1,2,4,5}:{(9,1),(10,1),(13,1)}
      12:{1,2,3,4,6}:{(10,1),(13,1)}
      13:{1,2,3,5}:{(11,1),(12,1)}

209 :  0:{3,4,5,6}:{(2,1)}
       1:{2,3,4,5}:{(3,1),(4,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(10,1)}
       6:{1,4,5,6}:{(2,1),(10,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(10,1),(11,1)}
       8:{1,2,4,5}:{(4,1),(9,1),(11,1)}
       9:{1,2,3,5}:{(8,1),(12,1),(13,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1)}
      11:{1,2,4,6}:{(7,1),(8,1),(13,1),(14,1)}
      12:{1,2,3,4}:{(9,1)}
      13:{1,2,3,6}:{(9,1),(11,1)}
      14:{1,2,5,6}:{(10,1),(11,1)}

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

211 :  0:{2,3,4,5}:{(2,1),(3,1)}
       1:{1,2,3,4}:{(4,1)}
       2:{2,3,4,6}:{(0,1),(7,1),(8,1)}
       3:{1,3,4,5}:{(0,1),(5,1),(8,1)}
       4:{1,2,3,5}:{(1,1),(5,1),(9,1)}
       5:{1,2,4,5}:{(3,1),(4,1),(10,1)}
       6:{3,4,5,6}:{(11,1)}
       7:{2,3,5,6}:{(2,1),(11,1),(12,1)}
       8:{1,3,4,6}:{(2,1),(3,1),(10,1),(12,1)}
       9:{1,2,3,6}:{(4,1),(10,1)}
      10:{1,2,4,6}:{(5,1),(8,1),(9,1),(13,1)}
      11:{2,4,5,6}:{(6,1),(7,1),(14,1)}
      12:{1,3,5,6}:{(7,1),(8,1),(13,1),(14,1)}
      13:{1,2,5,6}:{(10,1),(12,1)}
      14:{1,4,5,6}:{(11,1),(12,1)}

212 :  0:{1,3,4,5,6}:{(1,1),(7,1)}
       1:{2,4,5,6}:{(0,1),(2,1)}
       2:{2,3,5,6}:{(1,1),(6,1),(7,1)}
       3:{1,2,4,5,6}:{(1,1),(7,1),(13,1)}
       4:{2,3,4,5}:{(6,1),(8,1)}
       5:{1,2,3,4,6}:{(9,1),(13,1)}
       6:{2,3,4,6}:{(2,1),(4,1),(10,1)}
       7:{1,3,5,6}:{(2,1),(3,1),(10,1)}
       8:{1,3,4,5}:{(4,1),(10,1),(12,1)}
       9:{1,2,3,5}:{(5,1),(12,1)}
      10:{1,3,4,6}:{(6,1),(7,1),(8,1),(13,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1)}
      12:{1,2,4,5}:{(8,1),(9,1),(13,1)}
      13:{1,2,4,6}:{(10,1),(11,1),(12,1)}

213 :  0:{1,2,3,4,6}:{(1,1),(4,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(10,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       5:{1,3,4,5}:{(3,1),(8,1),(9,1)}
       6:{1,2,4,5,6}:{(4,1),(10,1),(11,1)}
       7:{1,3,4,5,6}:{(10,1),(11,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(10,1),(12,1)}
       9:{2,3,4,5}:{(5,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(8,1),(13,1)}
      11:{2,4,5,6}:{(7,1),(13,1)}
      12:{2,3,4,6}:{(8,1),(9,1),(13,1)}
      13:{2,3,5,6}:{(10,1),(11,1),(12,1)}

214 :  0:{3,4,5,6}:{(2,1)}
       1:{2,3,4,5}:{(3,1),(4,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(11,1)}
       6:{1,4,5,6}:{(2,1),(11,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,2,4,5}:{(4,1),(10,1),(12,1)}
       9:{1,2,3,4}:{(10,1)}
      10:{1,2,3,5}:{(8,1),(9,1),(13,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(13,1),(14,1)}
      13:{1,2,3,6}:{(10,1),(12,1)}
      14:{1,2,5,6}:{(11,1),(12,1)}

215 :  0:{1,2,3,5,6}:{(1,1),(6,1),(9,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(12,1)}
       2:{1,2,4,5,6}:{(3,1),(5,1),(12,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(13,1)}
       4:{1,3,4,6}:{(1,1),(6,1),(7,1)}
       5:{1,3,5,6}:{(2,1),(6,1),(8,1),(9,1)}
       6:{1,3,5}:{(3,1),(4,1),(11,1)}
       7:{2,3,4,6}:{(4,1),(11,1),(12,1)}
       8:{1,3,4,6}:{(5,1),(10,1),(12,1)}
       9:{2,3,5,6}:{(5,1),(11,1),(12,1)}
      10:{1,3,4,5}:{(6,1),(8,1),(13,1)}
      11:{2,3,5}:{(6,1),(7,1),(13,1)}
      12:{2,4,6}:{(8,1),(9,1),(13,1)}
      13:{2,4,5}:{(10,1),(11,1),(12,1)}

216 :  0:{1,2,4,5,6}:{(2,1),(6,1),(9,1)}
       1:{1,2,3,5,6}:{(3,1),(5,1),(10,1)}
       2:{1,3,5,6}:{(0,1),(4,1),(5,1),(10,1)}
       3:{1,2,4,6}:{(1,1),(6,1),(8,1),(9,1)}
       4:{1,3,4,6}:{(2,1),(7,1),(9,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(13,1)}
       6:{1,2,4,5}:{(3,1),(10,1),(11,1)}
       7:{1,3,4,5}:{(4,1),(10,1),(11,1)}
       8:{1,3,4,6}:{(3,1),(10,1),(12,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1)}
      10:{1,3,5}:{(6,1),(8,1),(13,1)}
      11:{2,4,5}:{(7,1),(9,1),(13,1)}
      12:{2,3,4,6}:{(8,1),(9,1),(13,1)}
      13:{2,3,5}:{(10,1),(11,1),(12,1)}

217 :  0:{1,3,4,5,6}:{(1,1),(5,1)}
       1:{2,4,5,6}:{(0,1),(2,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,2,4,5,6}:{(1,1),(5,1),(12,1)}
       4:{2,3,4,6}:{(2,1),(6,1),(8,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(8,1)}
       6:{2,3,4,5}:{(4,1),(10,1)}
       7:{1,2,3,4,6}:{(11,1),(12,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(10,1),(12,1)}
       9:{1,2,3,5,6}:{(5,1),(11,1),(12,1)}
      10:{1,3,4,5}:{(6,1),(8,1),(13,1)}
      11:{1,2,3,5}:{(7,1),(13,1)}
      12:{1,2,4,6}:{(8,1),(9,1),(13,1)}
      13:{1,2,4,5}:{(10,1),(11,1),(12,1)}

218 :  0:{3,4,5,6}:{(3,1)}
       1:{2,3,4,5}:{(4,1),(5,1)}
       2:{1,2,3,4}:{(6,1)}
       3:{2,4,5,6}:{(0,1),(7,1),(8,1)}
       4:{2,3,4,6}:{(1,1),(7,1),(9,1)}
       5:{1,3,4,5}:{(1,1),(9,1),(10,1)}
       6:{1,2,3,5}:{(2,1),(10,1),(11,1)}
       7:{2,3,5,6}:{(3,1),(4,1),(12,1)}
       8:{1,4,5,6}:{(3,1),(12,1)}
       9:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(13,1)}
      11:{1,2,3,6}:{(6,1),(13,1)}
      12:{1,3,5,6}:{(7,1),(8,1),(9,1),(14,1)}
      13:{1,2,4,6}:{(9,1),(10,1),(11,1),(14,1)}
      14:{1,2,5,6}:{(12,1),(13,1)}

219 :  0:{1,2,3,4,6}:{(1,1),(8,1)}
       1:{1,2,3,5}:{(0,1),(5,1)}
       2:{1,3,4,5,6}:{(6,1),(13,1)}
       3:{1,2,3,5,6}:{(1,1),(8,1),(13,1)}
       4:{2,3,4,5}:{(7,1),(9,1)}
       5:{1,2,4,5}:{(1,1),(8,1),(9,1)}
       6:{2,4,5,6}:{(2,1),(10,1)}
       7:{2,3,4,6}:{(4,1),(10,1),(12,1)}
       8:{1,2,4,6}:{(3,1),(5,1),(12,1)}
       9:{1,3,4,5}:{(4,1),(5,1),(12,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(13,1)}
      11:{1,2,4,5,6}:{(6,1),(8,1),(13,1)}
      12:{1,3,4,6}:{(7,1),(8,1),(9,1),(13,1)}
      13:{1,3,5,6}:{(10,1),(11,1),(12,1)}

220 :  0:{1,3,4,5,6}:{(1,1),(7,1)}
       1:{2,4,5,6}:{(0,1),(2,1)}
       2:{2,3,5,6}:{(1,1),(6,1),(7,1)}
       3:{1,2,4,5,6}:{(1,1),(7,1),(13,1)}
       4:{2,3,4,5}:{(6,1),(8,1)}
       5:{1,2,3,4,6}:{(9,1),(13,1)}
       6:{2,3,4,6}:{(2,1),(4,1),(10,1)}
       7:{1,3,5,6}:{(2,1),(3,1),(10,1)}
       8:{1,3,4,5}:{(4,1),(10,1),(12,1)}
       9:{1,2,3,5}:{(5,1),(12,1)}
      10:{1,3,4,6}:{(6,1),(7,1),(8,1),(13,1)}
      11:{1,2,3,5,6}:{(7,1),(9,1),(13,1)}
      12:{1,2,4,5}:{(8,1),(9,1),(13,1)}
      13:{1,2,4,6}:{(10,1),(11,1),(12,1)}

221 :  0:{1,2,3,4,6}:{(1,1),(6,1)}
       1:{1,2,3,5}:{(0,1),(5,1)}
       2:{1,2,3,5,6}:{(1,1),(6,1),(7,1)}
       3:{1,2,4,5,6}:{(6,1),(7,1),(8,1)}
       4:{1,3,4,5,6}:{(7,1),(8,1)}
       5:{1,2,4,5}:{(1,1),(6,1),(9,1)}
       6:{1,2,4,6}:{(2,1),(5,1),(10,1)}
       7:{1,3,5,6}:{(3,1),(10,1),(11,1)}
       8:{2,4,5,6}:{(4,1),(11,1)}
       9:{1,3,4,5}:{(5,1),(10,1),(12,1)}
      10:{1,3,4,6}:{(6,1),(7,1),(9,1),(13,1)}
      11:{2,3,5,6}:{(7,1),(8,1),(13,1)}
      12:{2,3,4,5}:{(9,1),(13,1)}
      13:{2,3,4,6}:{(10,1),(11,1),(12,1)}

222 :  0:{1,3,4,5,6}:{(1,1),(9,1)}
       1:{2,4,5,6}:{(0,1),(4,1)}
       2:{1,2,3,4,6}:{(6,1),(8,1)}
       3:{1,2,3,5,6}:{(6,1),(8,1),(9,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(9,1)}
       5:{1,2,4,5,6}:{(1,1),(8,1),(9,1)}
       6:{1,2,3,5}:{(2,1),(11,1)}
       7:{2,3,4,6}:{(4,1),(10,1),(12,1)}
       8:{1,2,4,6}:{(3,1),(11,1),(12,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(12,1)}
      10:{2,3,4,5}:{(7,1),(13,1)}
      11:{1,2,4,5}:{(6,1),(8,1),(13,1)}
      12:{1,3,4,6}:{(7,1),(8,1),(9,1),(13,1)}
      13:{1,3,4,5}:{(10,1),(11,1),(12,1)}

223 : 0:{1,2,3,4,5}:{(1,1)}
      1:{1,2,3,4,6}:{(0,1),(2,1)}
      2:{1,2,3,5,6}:{(1,1),(3,1)}
      3:{1,2,4,5,6}:{(2,1),(4,1)}
      4:{1,3,4,5,6}:{(3,1),(5,1)}
      5:{2,3,4,5,6}:{(4,1)}

224 :  0:{1,3,4,5,6}:{(2,1),(11,1)}
       1:{1,2,3,4,6}:{(3,1),(10,1)}
       2:{2,4,5,6}:{(0,1),(5,1)}
       3:{1,2,3,5}:{(1,1),(8,1)}
       4:{1,2,3,5,6}:{(3,1),(10,1),(11,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(11,1)}
       6:{1,2,4,5,6}:{(2,1),(10,1),(11,1)}
       7:{2,3,4,5}:{(9,1),(12,1)}
       8:{1,2,4,5}:{(3,1),(10,1),(12,1)}
       9:{2,3,4,6}:{(5,1),(7,1),(13,1)}
      10:{1,2,4,6}:{(4,1),(8,1),(13,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(13,1)}
      12:{1,3,4,5}:{(7,1),(8,1),(13,1)}
      13:{1,3,4,6}:{(9,1),(10,1),(11,1),(12,1)}

225 :  0:{1,2,3,4,6}:{(4,1),(5,1)}
       1:{1,2,3,5,6}:{(4,1),(5,1),(6,1)}
       2:{1,2,4,5,6}:{(5,1),(6,1),(7,1)}
       3:{1,3,4,5,6}:{(6,1),(7,1)}
       4:{1,2,3,5}:{(0,1),(8,1)}
       5:{1,2,4,6}:{(1,1),(8,1),(9,1)}
       6:{1,3,5,6}:{(2,1),(9,1),(10,1)}
       7:{2,4,5,6}:{(3,1),(10,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(11,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(11,1),(12,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(12,1)}
      11:{1,3,4,5}:{(8,1),(9,1),(13,1)}
      12:{2,3,4,6}:{(9,1),(10,1),(13,1)}
      13:{2,3,4,5}:{(11,1),(12,1)}

226 : 0:{2,3,4,5,6}:{(1,1)}
      1:{1,3,4,5,6}:{(0,1),(2,1)}
      2:{1,2,4,5,6}:{(1,1),(3,1)}
      3:{1,2,3,5,6}:{(2,1),(4,1)}
      4:{1,2,3,4,6}:{(3,1),(5,1)}
      5:{1,2,3,4,5}:{(4,1)}

227 : 0:{1,2,3,4,5}:{(1,1)}
      1:{1,2,3,4,6}:{(0,1),(2,1)}
      2:{1,2,3,5,6}:{(1,1),(4,1)}
      3:{2,3,4,5,6}:{(5,1)}
      4:{1,2,4,5,6}:{(2,1),(5,1)}
      5:{1,3,4,5,6}:{(3,1),(4,1)}

228 : 0:{2,3,4,5,6}:{(1,1)}
      1:{1,3,4,5,6}:{(0,1),(2,1)}
      2:{1,2,4,5,6}:{(1,1),(3,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1)}
      4:{1,2,3,4,5}:{(5,1)}
      5:{1,2,3,4,6}:{(3,1),(4,1)}

229 : 0:{1,2,3,4,5}:{(2,1)}
      1:{2,3,4,5,6}:{(3,1)}
      2:{1,2,3,4,6}:{(0,1),(4,1)}
      3:{1,3,4,5,6}:{(1,1),(5,1)}
      4:{1,2,3,5,6}:{(2,1),(5,1)}
      5:{1,2,4,5,6}:{(3,1),(4,1)}

230 : 0:{2,3,4,5,6}:{(1,1)}
      1:{1,3,4,5,6}:{(0,1),(3,1)}
      2:{1,2,3,4,5}:{(4,1)}
      3:{1,2,4,5,6}:{(1,1),(5,1)}
      4:{1,2,3,4,6}:{(2,1),(5,1)}
      5:{1,2,3,5,6}:{(3,1),(4,1)}

231 : 0:{1,2,3,4,5,6}:{}