0 : 0:{}:{}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

 24 : 0:{1,2}:{(1,1)}
      1:{3}:{(0,1),(2,1)}
      2:{4}:{(1,1),(3,1)}
      3:{5}:{(2,1),(4,1)}
      4:{6}:{(3,1)}

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

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

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

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

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

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

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

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

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

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

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

 36 :  0:{2,4}:{(1,1),(2,1),(7,1)}
       1:{3}:{(0,1),(3,1)}
       2:{2,5}:{(0,1),(4,1),(5,1),(14,1)}
       3:{1}:{(1,1)}
       4:{3,5}:{(1,1),(2,1),(6,1),(7,1),(8,1),(12,1),(13,1)}
       5:{2,6}:{(2,1),(8,1)}
       6:{1,5}:{(3,1),(4,1),(9,1),(10,1)}
       7:{4}:{(4,1)}
       8:{3,6}:{(4,1),(5,1),(10,1),(11,1)}
       9:{1,4}:{(6,1),(7,1),(12,1)}
      10:{1,6}:{(6,1),(8,1)}
      11:{4,6}:{(7,1),(8,1),(13,1)}
      12:{3}:{(9,1),(14,1)}
      13:{5}:{(11,1)}
      14:{2}:{(12,1)}

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

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

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

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

 41 :  0:{1,4}:{(1,1),(2,1),(7,1)}
       1:{3}:{(0,1),(3,1)}
       2:{1,5}:{(0,1),(4,1),(5,1),(14,1)}
       3:{2}:{(1,1)}
       4:{3,5}:{(1,1),(2,1),(6,1),(7,1),(8,1),(12,1),(13,1)}
       5:{1,6}:{(2,1),(8,1)}
       6:{2,5}:{(3,1),(4,1),(9,1),(10,1)}
       7:{4}:{(4,1)}
       8:{3,6}:{(4,1),(5,1),(10,1),(11,1)}
       9:{2,4}:{(6,1),(7,1),(12,1)}
      10:{2,6}:{(6,1),(8,1)}
      11:{4,6}:{(7,1),(8,1),(13,1)}
      12:{3}:{(9,1),(14,1)}
      13:{5}:{(11,1)}
      14:{1}:{(12,1)}

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

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

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

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

 46 : 0:{2,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{2,5}:{(0,1),(4,1),(9,1)}
      3:{1,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{1,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{1,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{2}:{(8,1)}

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

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

 49 :  0:{1,2,5}:{(1,1),(2,1),(3,1),(18,1),(19,1)}
       1:{3,5}:{(0,1),(4,1),(5,1),(6,1),(16,1)}
       2:{1,2,4}:{(0,1),(4,1),(6,1),(14,1),(15,1),(17,1)}
       3:{1,2,6}:{(0,1),(5,1),(24,1),(25,1)}
       4:{4}:{(1,1)}
       5:{3,6}:{(1,1),(3,1),(9,1)}
       6:{3}:{(2,1)}
       7:{4,5}:{(4,1),(12,1),(13,1),(16,1),(29,1),(32,1)}
       8:{3,4}:{(4,1),(6,1),(12,1),(14,1),(15,1),(26,1),(29,1)}
       9:{4,6}:{(4,1),(5,1),(16,1)}
      10:{1,3}:{(6,1),(14,1),(17,1),(26,1)}
      11:{2,3}:{(6,1),(15,1),(17,1),(26,1)}
      12:{3,5}:{(7,1),(8,1),(18,1),(19,1),(20,1)}
      13:{4,6}:{(7,1),(20,1),(21,1)}
      14:{1,4}:{(8,1),(10,1),(18,1)}
      15:{2,4}:{(8,1),(11,1),(19,1)}
      16:{5}:{(9,1)}
      17:{1,2}:{(10,1),(11,1)}
      18:{1,5}:{(12,1),(14,1),(24,1)}
      19:{2,5}:{(12,1),(15,1),(25,1)}
      20:{3,6}:{(12,1),(13,1),(24,1),(25,1)}
      21:{5,6}:{(13,1),(16,1),(32,1)}
      22:{1,2,4}:{(14,1),(15,1),(17,1),(23,1),(26,1),(29,1)}
      23:{1,2,5}:{(18,1),(19,1),(22,1),(27,1),(28,1)}
      24:{1,6}:{(18,1),(20,1)}
      25:{2,6}:{(19,1),(20,1)}
      26:{3}:{(22,1)}
      27:{3,5}:{(23,1),(26,1),(29,1),(30,1),(32,1)}
      28:{1,2,6}:{(23,1),(24,1),(25,1),(30,1)}
      29:{4}:{(27,1)}
      30:{3,6}:{(27,1),(28,1),(31,1)}
      31:{4,6}:{(29,1),(30,1),(32,1)}
      32:{5}:{(31,1)}

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

 51 : 0:{1,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{1,5}:{(0,1),(4,1),(9,1)}
      3:{2,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{2,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{2,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{1}:{(8,1)}

 52 : 0:{2,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{2,5}:{(0,1),(4,1),(9,1)}
      3:{1,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{1,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{1,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{2}:{(8,1)}

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

 54 :  0:{4,5}:{(2,1),(3,1),(26,1),(37,1)}
       1:{3,4}:{(2,1),(4,1),(5,1),(18,1),(26,1)}
       2:{3,5}:{(0,1),(1,1),(8,1),(9,1),(10,1)}
       3:{4,6}:{(0,1),(10,1),(11,1)}
       4:{1,4}:{(1,1),(6,1),(8,1)}
       5:{2,4}:{(1,1),(7,1),(9,1)}
       6:{1,3}:{(4,1),(13,1),(18,1)}
       7:{2,3}:{(5,1),(14,1),(18,1)}
       8:{1,5}:{(2,1),(4,1),(16,1)}
       9:{2,5}:{(2,1),(5,1),(17,1)}
      10:{3,6}:{(2,1),(3,1),(16,1),(17,1)}
      11:{5,6}:{(3,1),(37,1)}
      12:{1,2,4}:{(4,1),(5,1),(13,1),(14,1),(15,1),(18,1),(24,1),(25,1),(26,1)}
      13:{1,2}:{(6,1),(19,1)}
      14:{1,2}:{(7,1),(20,1)}
      15:{1,2,5}:{(8,1),(9,1),(12,1),(21,1),(22,1),(29,1),(30,1)}
      16:{1,6}:{(8,1),(10,1)}
      17:{2,6}:{(9,1),(10,1)}
      18:{3}:{(12,1)}
      19:{2,3}:{(13,1),(18,1),(24,1)}
      20:{1,3}:{(14,1),(18,1),(25,1)}
      21:{3,5}:{(15,1),(18,1),(26,1),(27,1),(37,1)}
      22:{1,2,6}:{(15,1),(16,1),(17,1),(27,1),(34,1),(35,1)}
      23:{3,4}:{(18,1),(24,1),(25,1),(26,1),(28,1)}
      24:{2,4}:{(19,1),(23,1),(29,1)}
      25:{1,4}:{(20,1),(23,1),(30,1)}
      26:{4}:{(21,1)}
      27:{3,6}:{(21,1),(22,1),(32,1)}
      28:{3,5}:{(23,1),(29,1),(30,1),(31,1),(33,1)}
      29:{2,5}:{(24,1),(28,1),(34,1)}
      30:{1,5}:{(25,1),(28,1),(35,1)}
      31:{4,5}:{(26,1),(28,1),(36,1),(37,1)}
      32:{4,6}:{(26,1),(27,1),(37,1)}
      33:{3,6}:{(28,1),(34,1),(35,1),(36,1)}
      34:{2,6}:{(29,1),(33,1)}
      35:{1,6}:{(30,1),(33,1)}
      36:{4,6}:{(31,1),(33,1),(38,1)}
      37:{5}:{(32,1)}
      38:{5,6}:{(36,1),(37,1)}

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

 56 : 0:{1,2}:{(1,1)}
      1:{3}:{(0,1),(2,1)}
      2:{4}:{(1,1),(3,1)}
      3:{5}:{(2,1),(4,1)}
      4:{6}:{(3,1)}

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

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

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

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

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

 62 :  0:{1,2,5,6}:{(1,1),(2,1),(18,1),(19,1)}
       1:{3,5,6}:{(0,1),(3,1),(5,1),(11,1)}
       2:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(12,1),(13,1),(17,1)}
       3:{4,6}:{(1,1),(6,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(8,1),(18,1),(19,1),(21,1),(22,1),(23,1)}
       5:{3,6}:{(2,1),(8,1)}
       6:{4,5}:{(3,1),(11,1),(29,1)}
       7:{3,4,6}:{(3,1),(5,1),(11,1),(12,1),(13,1),(14,1),(25,1),(29,1)}
       8:{3,5}:{(4,1),(5,1),(14,1)}
       9:{1,3,6}:{(5,1),(12,1),(15,1),(17,1),(25,1)}
      10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1),(25,1)}
      11:{3,5}:{(6,1),(7,1),(18,1),(19,1)}
      12:{1,4,6}:{(7,1),(9,1),(18,1),(21,1)}
      13:{2,4,6}:{(7,1),(10,1),(19,1),(22,1)}
      14:{3,4}:{(8,1),(21,1),(22,1),(28,1)}
      15:{1,3,5}:{(8,1),(9,1),(18,1),(21,1),(23,1),(27,1),(28,1)}
      16:{2,3,5}:{(8,1),(10,1),(19,1),(22,1),(23,1),(27,1),(28,1)}
      17:{1,2,6}:{(9,1),(10,1),(23,1)}
      18:{1,5}:{(11,1),(12,1)}
      19:{2,5}:{(11,1),(13,1)}
      20:{1,2,4,6}:{(12,1),(13,1),(17,1),(24,1),(25,1),(26,1),(29,1)}
      21:{1,4}:{(14,1),(15,1),(29,1)}
      22:{2,4}:{(14,1),(16,1),(29,1)}
      23:{1,2,5}:{(15,1),(16,1),(17,1),(26,1)}
      24:{1,2,5}:{(18,1),(19,1),(20,1),(27,1)}
      25:{3,6}:{(20,1),(27,1),(28,1)}
      26:{1,2,4}:{(21,1),(22,1),(23,1),(28,1)}
      27:{3,5}:{(24,1),(25,1),(29,1)}
      28:{3}:{(26,1)}
      29:{4}:{(27,1)}

 63 : 0:{2,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{2,5}:{(0,1),(4,1),(9,1)}
      3:{1,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{1,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{1,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{2}:{(8,1)}

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

 65 :  0:{4,5}:{(3,1),(4,1),(27,1),(37,1)}
       1:{3,4}:{(3,1),(5,1),(6,1),(19,1),(27,1)}
       2:{1,3}:{(5,1),(7,1),(19,1)}
       3:{3,5}:{(0,1),(1,1),(9,1),(10,1),(11,1)}
       4:{4,6}:{(0,1),(11,1),(12,1)}
       5:{1,4}:{(1,1),(2,1),(9,1)}
       6:{2,4}:{(1,1),(8,1),(10,1)}
       7:{1,2}:{(2,1),(14,1)}
       8:{2,3}:{(6,1),(15,1),(19,1)}
       9:{1,5}:{(3,1),(5,1),(17,1)}
      10:{2,5}:{(3,1),(6,1),(18,1)}
      11:{3,6}:{(3,1),(4,1),(17,1),(18,1)}
      12:{5,6}:{(4,1),(37,1)}
      13:{1,2,4}:{(5,1),(6,1),(7,1),(15,1),(16,1),(19,1),(20,1),(26,1),(27,1)}
      14:{2,3}:{(7,1),(19,1),(20,1)}
      15:{1,2}:{(8,1),(21,1)}
      16:{1,2,5}:{(9,1),(10,1),(13,1),(22,1),(23,1),(25,1),(31,1)}
      17:{1,6}:{(9,1),(11,1)}
      18:{2,6}:{(10,1),(11,1)}
      19:{3}:{(13,1)}
      20:{2,4}:{(14,1),(24,1),(25,1)}
      21:{1,3}:{(15,1),(19,1),(26,1)}
      22:{3,5}:{(16,1),(19,1),(27,1),(28,1),(37,1)}
      23:{1,2,6}:{(16,1),(17,1),(18,1),(28,1),(30,1),(35,1)}
      24:{3,4}:{(19,1),(20,1),(26,1),(27,1),(29,1)}
      25:{2,5}:{(20,1),(29,1),(30,1)}
      26:{1,4}:{(21,1),(24,1),(31,1)}
      27:{4}:{(22,1)}
      28:{3,6}:{(22,1),(23,1),(33,1)}
      29:{3,5}:{(24,1),(25,1),(31,1),(32,1),(34,1)}
      30:{2,6}:{(25,1),(34,1)}
      31:{1,5}:{(26,1),(29,1),(35,1)}
      32:{4,5}:{(27,1),(29,1),(36,1),(37,1)}
      33:{4,6}:{(27,1),(28,1),(37,1)}
      34:{3,6}:{(29,1),(30,1),(35,1),(36,1)}
      35:{1,6}:{(31,1),(34,1)}
      36:{4,6}:{(32,1),(34,1),(38,1)}
      37:{5}:{(33,1)}
      38:{5,6}:{(36,1),(37,1)}

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

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

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

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

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

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

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

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

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

 75 : 0:{1,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{1,5}:{(0,1),(4,1),(9,1)}
      3:{2,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{2,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{2,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{1}:{(8,1)}

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

 77 : 0:{2,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{2,5}:{(0,1),(4,1),(9,1)}
      3:{1,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{1,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{1,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{2}:{(8,1)}

 78 :  0:{5,6}:{(3,1),(36,1)}
       1:{4,5}:{(3,1),(4,1),(27,1),(36,1)}
       2:{3,4}:{(4,1),(5,1),(6,1),(18,1),(27,1)}
       3:{4,6}:{(0,1),(1,1),(9,1)}
       4:{3,5}:{(1,1),(2,1),(9,1),(10,1),(11,1)}
       5:{1,4}:{(2,1),(7,1),(10,1)}
       6:{2,4}:{(2,1),(8,1),(11,1)}
       7:{1,3}:{(5,1),(13,1),(18,1)}
       8:{2,3}:{(6,1),(14,1),(18,1)}
       9:{3,6}:{(3,1),(4,1),(15,1),(16,1)}
      10:{1,5}:{(4,1),(5,1),(15,1)}
      11:{2,5}:{(4,1),(6,1),(16,1)}
      12:{1,2,4}:{(5,1),(6,1),(13,1),(14,1),(17,1),(18,1),(24,1),(25,1),(27,1)}
      13:{1,2}:{(7,1),(19,1)}
      14:{1,2}:{(8,1),(20,1)}
      15:{1,6}:{(9,1),(10,1)}
      16:{2,6}:{(9,1),(11,1)}
      17:{1,2,5}:{(10,1),(11,1),(12,1),(21,1),(22,1),(29,1),(30,1)}
      18:{3}:{(12,1)}
      19:{2,3}:{(13,1),(18,1),(24,1)}
      20:{1,3}:{(14,1),(18,1),(25,1)}
      21:{1,2,6}:{(15,1),(16,1),(17,1),(26,1),(34,1),(35,1)}
      22:{3,5}:{(17,1),(18,1),(26,1),(27,1),(36,1)}
      23:{3,4}:{(18,1),(24,1),(25,1),(27,1),(28,1)}
      24:{2,4}:{(19,1),(23,1),(29,1)}
      25:{1,4}:{(20,1),(23,1),(30,1)}
      26:{3,6}:{(21,1),(22,1),(31,1)}
      27:{4}:{(22,1)}
      28:{3,5}:{(23,1),(29,1),(30,1),(32,1),(33,1)}
      29:{2,5}:{(24,1),(28,1),(34,1)}
      30:{1,5}:{(25,1),(28,1),(35,1)}
      31:{4,6}:{(26,1),(27,1),(36,1)}
      32:{4,5}:{(27,1),(28,1),(36,1),(37,1)}
      33:{3,6}:{(28,1),(34,1),(35,1),(37,1)}
      34:{2,6}:{(29,1),(33,1)}
      35:{1,6}:{(30,1),(33,1)}
      36:{5}:{(31,1)}
      37:{4,6}:{(32,1),(33,1),(38,1)}
      38:{5,6}:{(36,1),(37,1)}

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

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

 81 :  0:{1,2,6}:{(1,1),(2,1),(23,1),(24,1)}
       1:{3,6}:{(0,1),(3,1),(4,1)}
       2:{1,2,5}:{(0,1),(4,1),(5,1),(20,1),(21,1)}
       3:{4,6}:{(1,1),(6,1),(7,1)}
       4:{3,5}:{(1,1),(2,1),(6,1),(7,1),(8,1)}
       5:{1,2,4}:{(2,1),(7,1),(8,1),(16,1),(17,1),(18,1)}
       6:{5}:{(3,1)}
       7:{4}:{(4,1)}
       8:{3}:{(5,1)}
       9:{5,6}:{(6,1),(14,1),(32,1)}
      10:{4,5}:{(6,1),(7,1),(14,1),(15,1),(30,1),(32,1)}
      11:{3,4}:{(7,1),(8,1),(15,1),(16,1),(17,1),(26,1),(30,1)}
      12:{1,3}:{(8,1),(16,1),(18,1),(26,1)}
      13:{2,3}:{(8,1),(17,1),(18,1),(26,1)}
      14:{4,6}:{(9,1),(10,1),(19,1)}
      15:{3,5}:{(10,1),(11,1),(19,1),(20,1),(21,1)}
      16:{1,4}:{(11,1),(12,1),(20,1)}
      17:{2,4}:{(11,1),(13,1),(21,1)}
      18:{1,2}:{(12,1),(13,1)}
      19:{3,6}:{(14,1),(15,1),(23,1),(24,1)}
      20:{1,5}:{(15,1),(16,1),(23,1)}
      21:{2,5}:{(15,1),(17,1),(24,1)}
      22:{1,2,4}:{(16,1),(17,1),(18,1),(25,1),(26,1),(30,1)}
      23:{1,6}:{(19,1),(20,1)}
      24:{2,6}:{(19,1),(21,1)}
      25:{1,2,5}:{(20,1),(21,1),(22,1),(27,1),(28,1)}
      26:{3}:{(22,1)}
      27:{1,2,6}:{(23,1),(24,1),(25,1),(29,1)}
      28:{3,5}:{(25,1),(26,1),(29,1),(30,1),(32,1)}
      29:{3,6}:{(27,1),(28,1),(31,1)}
      30:{4}:{(28,1)}
      31:{4,6}:{(29,1),(30,1),(32,1)}
      32:{5}:{(31,1)}

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

 83 : 0:{1,2}:{(1,1)}
      1:{3}:{(0,1),(2,1)}
      2:{4}:{(1,1),(3,1)}
      3:{5}:{(2,1),(4,1)}
      4:{6}:{(3,1)}

 84 : 0:{1,2,3}:{(1,1)}
      1:{1,2,4}:{(0,1),(2,1),(3,1)}
      2:{3,4}:{(1,1),(4,1)}
      3:{1,2,5}:{(1,1),(4,1),(5,1)}
      4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
      5:{1,2,6}:{(3,1),(7,1)}
      6:{4,5}:{(4,1),(8,1)}
      7:{3,6}:{(4,1),(5,1),(8,1)}
      8:{4,6}:{(6,1),(7,1),(9,1)}
      9:{5,6}:{(8,1)}

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

 86 :  0:{1,2,5,6}:{(2,1),(3,1),(22,1),(23,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(10,1),(12,1),(13,1),(16,1),(22,1),(23,1)}
       2:{3,5,6}:{(0,1),(5,1),(7,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(7,1),(18,1),(19,1),(21,1)}
       4:{3,5}:{(1,1),(6,1),(7,1)}
       5:{4,6}:{(2,1),(10,1)}
       6:{3,4}:{(4,1),(12,1),(13,1),(25,1)}
       7:{3,6}:{(3,1),(4,1)}
       8:{1,3,5}:{(4,1),(12,1),(14,1),(16,1),(22,1),(25,1),(28,1)}
       9:{2,3,5}:{(4,1),(13,1),(15,1),(16,1),(23,1),(25,1),(28,1)}
      10:{4,5}:{(5,1),(17,1),(29,1)}
      11:{3,4,6}:{(5,1),(6,1),(7,1),(17,1),(18,1),(19,1),(27,1),(29,1)}
      12:{1,4}:{(6,1),(8,1),(29,1)}
      13:{2,4}:{(6,1),(9,1),(29,1)}
      14:{1,3,6}:{(7,1),(8,1),(18,1),(21,1),(27,1)}
      15:{2,3,6}:{(7,1),(9,1),(19,1),(21,1),(27,1)}
      16:{1,2,5}:{(8,1),(9,1),(20,1),(21,1)}
      17:{3,5}:{(10,1),(11,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1),(22,1)}
      19:{2,4,6}:{(11,1),(13,1),(15,1),(23,1)}
      20:{1,2,4}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,2,6}:{(14,1),(15,1),(16,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,5}:{(17,1),(19,1)}
      24:{1,2,4,6}:{(18,1),(19,1),(20,1),(21,1),(26,1),(27,1),(29,1)}
      25:{3}:{(20,1)}
      26:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      27:{3,6}:{(24,1),(25,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

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

 88 :  0:{1,3,5,6}:{(1,1),(2,1),(9,1),(10,1),(21,1)}
       1:{1,2,5,6}:{(0,1),(3,1),(4,1),(17,1),(24,1),(27,1)}
       2:{1,4,6}:{(0,1),(5,1),(6,1),(25,1)}
       3:{2,3,5,6}:{(1,1),(7,1),(9,1),(18,1),(22,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(7,1),(8,1),(9,1),(11,1),(19,1),(23,1),(28,1)}
       5:{1,4,5}:{(2,1),(10,1)}
       6:{3,4,6}:{(2,1),(9,1),(10,1),(11,1),(20,1)}
       7:{2,4,6}:{(3,1),(12,1),(13,1),(26,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(12,1),(14,1),(17,1),(24,1),(25,1),(26,1),(27,1)}
       9:{3,6}:{(4,1),(14,1),(29,1)}
      10:{3,5}:{(5,1),(6,1),(17,1)}
      11:{2,4,6}:{(6,1),(16,1),(17,1),(26,1)}
      12:{2,4,5}:{(7,1),(18,1)}
      13:{3,4,6}:{(7,1),(9,1),(18,1),(19,1),(20,1)}
      14:{3,5}:{(8,1),(9,1),(20,1)}
      15:{1,3,6}:{(9,1),(19,1),(21,1),(23,1)}
      16:{2,3,6}:{(9,1),(11,1),(22,1),(23,1)}
      17:{2,5}:{(10,1),(11,1)}
      18:{3,5}:{(12,1),(13,1),(24,1)}
      19:{1,4,6}:{(13,1),(15,1),(24,1),(25,1)}
      20:{3,4}:{(14,1),(25,1),(26,1),(29,1)}
      21:{1,3,5}:{(14,1),(15,1),(24,1),(25,1),(27,1),(29,1)}
      22:{2,3,5}:{(14,1),(16,1),(17,1),(26,1),(27,1),(29,1)}
      23:{1,2,6}:{(15,1),(16,1),(27,1)}
      24:{1,5}:{(18,1),(19,1)}
      25:{1,4}:{(20,1),(21,1)}
      26:{2,4}:{(20,1),(22,1)}
      27:{1,2,5}:{(21,1),(22,1),(23,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

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

 90 : 0:{2,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{2,5}:{(0,1),(4,1),(9,1)}
      3:{1,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{1,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{1,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{2}:{(8,1)}

 91 :  0:{5,6}:{(4,1),(36,1)}
       1:{4,5}:{(4,1),(5,1),(28,1),(36,1)}
       2:{3,4}:{(5,1),(6,1),(7,1),(19,1),(28,1)}
       3:{1,3}:{(6,1),(8,1),(19,1)}
       4:{4,6}:{(0,1),(1,1),(10,1)}
       5:{3,5}:{(1,1),(2,1),(10,1),(11,1),(12,1)}
       6:{1,4}:{(2,1),(3,1),(11,1)}
       7:{2,4}:{(2,1),(9,1),(12,1)}
       8:{1,2}:{(3,1),(14,1)}
       9:{2,3}:{(7,1),(15,1),(19,1)}
      10:{3,6}:{(4,1),(5,1),(16,1),(17,1)}
      11:{1,5}:{(5,1),(6,1),(16,1)}
      12:{2,5}:{(5,1),(7,1),(17,1)}
      13:{1,2,4}:{(6,1),(7,1),(8,1),(15,1),(18,1),(19,1),(20,1),(26,1),(28,1)}
      14:{2,3}:{(8,1),(19,1),(20,1)}
      15:{1,2}:{(9,1),(21,1)}
      16:{1,6}:{(10,1),(11,1)}
      17:{2,6}:{(10,1),(12,1)}
      18:{1,2,5}:{(11,1),(12,1),(13,1),(22,1),(23,1),(25,1),(31,1)}
      19:{3}:{(13,1)}
      20:{2,4}:{(14,1),(24,1),(25,1)}
      21:{1,3}:{(15,1),(19,1),(26,1)}
      22:{1,2,6}:{(16,1),(17,1),(18,1),(27,1),(30,1),(35,1)}
      23:{3,5}:{(18,1),(19,1),(27,1),(28,1),(36,1)}
      24:{3,4}:{(19,1),(20,1),(26,1),(28,1),(29,1)}
      25:{2,5}:{(20,1),(29,1),(30,1)}
      26:{1,4}:{(21,1),(24,1),(31,1)}
      27:{3,6}:{(22,1),(23,1),(32,1)}
      28:{4}:{(23,1)}
      29:{3,5}:{(24,1),(25,1),(31,1),(33,1),(34,1)}
      30:{2,6}:{(25,1),(34,1)}
      31:{1,5}:{(26,1),(29,1),(35,1)}
      32:{4,6}:{(27,1),(28,1),(36,1)}
      33:{4,5}:{(28,1),(29,1),(36,1),(37,1)}
      34:{3,6}:{(29,1),(30,1),(35,1),(37,1)}
      35:{1,6}:{(31,1),(34,1)}
      36:{5}:{(32,1)}
      37:{4,6}:{(33,1),(34,1),(38,1)}
      38:{5,6}:{(36,1),(37,1)}

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

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

 94 : 0:{1,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{1,5}:{(0,1),(4,1),(9,1)}
      3:{2,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{2,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{2,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{1}:{(8,1)}

 95 :  0:{2,3,4}:{(1,1),(2,1),(19,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1),(12,1)}
       2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1),(14,1)}
       3:{1,3}:{(1,1)}
       4:{1,2,5}:{(1,1),(2,1),(7,1),(9,1)}
       5:{2,4,5}:{(2,1),(10,1),(11,1)}
       6:{2,3,6}:{(2,1),(9,1),(11,1),(23,1)}
       7:{1,3,5}:{(3,1),(4,1),(12,1),(13,1),(14,1),(30,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(12,1),(14,1),(15,1),(16,1),(28,1),(30,1),(31,1),(43,1),(44,1)}
       9:{1,2,6}:{(4,1),(6,1),(13,1)}
      10:{3,4,5}:{(5,1),(14,1),(16,1),(17,1),(44,1)}
      11:{2,4,6}:{(5,1),(6,1),(17,1),(18,1)}
      12:{1,4}:{(7,1),(19,1)}
      13:{1,3,6}:{(7,1),(9,1),(20,1),(23,1)}
      14:{3,5}:{(8,1),(19,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(11,1),(20,1),(23,1),(24,1),(25,1),(38,1),(40,1),(41,1)}
      16:{1,4,5}:{(10,1),(21,1),(25,1)}
      17:{3,4,6}:{(10,1),(11,1),(23,1),(25,1),(26,1),(41,1)}
      18:{2,5,6}:{(11,1),(26,1)}
      19:{3,4}:{(12,1),(14,1),(28,1)}
      20:{1,4,6}:{(12,1),(13,1),(29,1),(30,1)}
      21:{1,3,5}:{(14,1),(16,1),(27,1),(31,1),(32,1)}
      22:{2,3,5}:{(14,1),(28,1),(31,1),(33,1),(42,1),(43,1)}
      23:{3,6}:{(14,1),(15,1)}
      24:{1,2,5,6}:{(15,1),(18,1),(30,1),(34,1),(35,1),(43,1)}
      25:{1,4,6}:{(16,1),(17,1),(32,1),(35,1)}
      26:{3,5,6}:{(17,1),(18,1),(35,1),(36,1)}
      27:{1,3,4}:{(19,1),(21,1),(37,1)}
      28:{2,4}:{(19,1),(22,1)}
      29:{3,4,6}:{(19,1),(20,1),(23,1),(38,1),(39,1),(41,1)}
      30:{1,5}:{(20,1),(39,1)}
      31:{1,2,5}:{(21,1),(22,1),(37,1),(40,1)}
      32:{1,3,6}:{(21,1),(23,1),(25,1),(40,1)}
      33:{2,3,6}:{(22,1),(23,1),(38,1),(40,1)}
      34:{3,5,6}:{(23,1),(24,1),(39,1),(41,1)}
      35:{1,5,6}:{(25,1),(26,1)}
      36:{4,5,6}:{(26,1),(41,1)}
      37:{1,2,4}:{(27,1),(28,1),(31,1),(42,1)}
      38:{2,4,6}:{(28,1),(29,1),(33,1),(43,1)}
      39:{3,5}:{(29,1),(30,1),(43,1),(44,1)}
      40:{1,2,6}:{(31,1),(32,1),(33,1)}
      41:{4,6}:{(34,1),(44,1)}
      42:{2,3}:{(37,1)}
      43:{2,5}:{(38,1),(39,1)}
      44:{4,5}:{(39,1),(41,1)}

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

 97 :  0:{5,6}:{(4,1),(36,1)}
       1:{4,5}:{(4,1),(5,1),(28,1),(36,1)}
       2:{3,4}:{(5,1),(6,1),(7,1),(19,1),(28,1)}
       3:{2,3}:{(7,1),(8,1),(19,1)}
       4:{4,6}:{(0,1),(1,1),(10,1)}
       5:{3,5}:{(1,1),(2,1),(10,1),(11,1),(12,1)}
       6:{1,4}:{(2,1),(9,1),(11,1)}
       7:{2,4}:{(2,1),(3,1),(12,1)}
       8:{1,2}:{(3,1),(14,1)}
       9:{1,3}:{(6,1),(15,1),(19,1)}
      10:{3,6}:{(4,1),(5,1),(16,1),(17,1)}
      11:{1,5}:{(5,1),(6,1),(16,1)}
      12:{2,5}:{(5,1),(7,1),(17,1)}
      13:{1,2,4}:{(6,1),(7,1),(8,1),(15,1),(18,1),(19,1),(20,1),(26,1),(28,1)}
      14:{1,3}:{(8,1),(19,1),(20,1)}
      15:{1,2}:{(9,1),(21,1)}
      16:{1,6}:{(10,1),(11,1)}
      17:{2,6}:{(10,1),(12,1)}
      18:{1,2,5}:{(11,1),(12,1),(13,1),(22,1),(23,1),(25,1),(31,1)}
      19:{3}:{(13,1)}
      20:{1,4}:{(14,1),(24,1),(25,1)}
      21:{2,3}:{(15,1),(19,1),(26,1)}
      22:{1,2,6}:{(16,1),(17,1),(18,1),(27,1),(30,1),(35,1)}
      23:{3,5}:{(18,1),(19,1),(27,1),(28,1),(36,1)}
      24:{3,4}:{(19,1),(20,1),(26,1),(28,1),(29,1)}
      25:{1,5}:{(20,1),(29,1),(30,1)}
      26:{2,4}:{(21,1),(24,1),(31,1)}
      27:{3,6}:{(22,1),(23,1),(32,1)}
      28:{4}:{(23,1)}
      29:{3,5}:{(24,1),(25,1),(31,1),(33,1),(34,1)}
      30:{1,6}:{(25,1),(34,1)}
      31:{2,5}:{(26,1),(29,1),(35,1)}
      32:{4,6}:{(27,1),(28,1),(36,1)}
      33:{4,5}:{(28,1),(29,1),(36,1),(37,1)}
      34:{3,6}:{(29,1),(30,1),(35,1),(37,1)}
      35:{2,6}:{(31,1),(34,1)}
      36:{5}:{(32,1)}
      37:{4,6}:{(33,1),(34,1),(38,1)}
      38:{5,6}:{(36,1),(37,1)}

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

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

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

101 :  0:{1,2,5,6}:{(1,1),(2,1),(18,1),(19,1)}
       1:{3,5,6}:{(0,1),(3,1),(5,1),(11,1)}
       2:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(12,1),(13,1),(17,1)}
       3:{4,6}:{(1,1),(6,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(8,1),(18,1),(19,1),(21,1),(22,1),(23,1)}
       5:{3,6}:{(2,1),(8,1)}
       6:{4,5}:{(3,1),(11,1),(29,1)}
       7:{3,4,6}:{(3,1),(5,1),(11,1),(12,1),(13,1),(14,1),(25,1),(29,1)}
       8:{3,5}:{(4,1),(5,1),(14,1)}
       9:{1,3,6}:{(5,1),(12,1),(15,1),(17,1),(25,1)}
      10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1),(25,1)}
      11:{3,5}:{(6,1),(7,1),(18,1),(19,1)}
      12:{1,4,6}:{(7,1),(9,1),(18,1),(21,1)}
      13:{2,4,6}:{(7,1),(10,1),(19,1),(22,1)}
      14:{3,4}:{(8,1),(21,1),(22,1),(28,1)}
      15:{1,3,5}:{(8,1),(9,1),(18,1),(21,1),(23,1),(27,1),(28,1)}
      16:{2,3,5}:{(8,1),(10,1),(19,1),(22,1),(23,1),(27,1),(28,1)}
      17:{1,2,6}:{(9,1),(10,1),(23,1)}
      18:{1,5}:{(11,1),(12,1)}
      19:{2,5}:{(11,1),(13,1)}
      20:{1,2,4,6}:{(12,1),(13,1),(17,1),(24,1),(25,1),(26,1),(29,1)}
      21:{1,4}:{(14,1),(15,1),(29,1)}
      22:{2,4}:{(14,1),(16,1),(29,1)}
      23:{1,2,5}:{(15,1),(16,1),(17,1),(26,1)}
      24:{1,2,5}:{(18,1),(19,1),(20,1),(27,1)}
      25:{3,6}:{(20,1),(27,1),(28,1)}
      26:{1,2,4}:{(21,1),(22,1),(23,1),(28,1)}
      27:{3,5}:{(24,1),(25,1),(29,1)}
      28:{3}:{(26,1)}
      29:{4}:{(27,1)}

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

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

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

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

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

107 : 0:{1,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{1,5}:{(0,1),(4,1),(9,1)}
      3:{2,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{2,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{2,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{1}:{(8,1)}

108 : 0:{2,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{2,5}:{(0,1),(4,1),(9,1)}
      3:{1,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{1,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{1,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{2}:{(8,1)}

109 :  0:{3,4,6}:{(2,1),(3,1),(4,1),(7,1),(20,1),(24,1),(25,1),(41,1),(45,1),(47,1)}
       1:{3,5,6}:{(4,1),(5,1),(6,1),(7,1),(24,1),(25,1)}
       2:{1,4,6}:{(0,1),(8,1),(11,1),(28,1),(37,1),(57,1)}
       3:{2,4,6}:{(0,1),(9,1),(12,1),(31,1),(36,1),(53,1)}
       4:{3,5}:{(0,1),(11,1),(12,1),(13,1)}
       5:{1,5,6}:{(1,1),(11,1),(14,1),(37,1)}
       6:{2,5,6}:{(1,1),(12,1),(15,1),(36,1)}
       7:{4,6}:{(1,1),(13,1)}
       8:{1,3,6}:{(2,1),(16,1),(17,1),(20,1),(24,1),(68,1)}
       9:{2,3,6}:{(3,1),(18,1),(19,1),(20,1),(25,1),(64,1)}
      10:{1,2,4,6}:{(2,1),(3,1),(16,1),(18,1),(20,1),(21,1),(38,1),(40,1),(42,1),(44,1),(47,1)}
      11:{1,5}:{(2,1),(4,1)}
      12:{2,5}:{(3,1),(4,1)}
      13:{4,5}:{(4,1),(7,1),(47,1)}
      14:{1,4,6}:{(5,1),(7,1),(22,1),(24,1)}
      15:{2,4,6}:{(6,1),(7,1),(23,1),(25,1)}
      16:{1,2,6}:{(8,1),(26,1),(27,1),(36,1),(78,1),(83,1)}
      17:{1,3,5}:{(8,1),(11,1),(27,1),(28,1),(33,1),(34,1),(52,1)}
      18:{1,2,6}:{(9,1),(29,1),(30,1),(37,1),(74,1),(84,1)}
      19:{2,3,5}:{(9,1),(12,1),(30,1),(31,1),(33,1),(35,1),(56,1)}
      20:{3,6}:{(10,1),(33,1),(52,1),(56,1)}
      21:{1,2,5}:{(10,1),(11,1),(12,1),(33,1),(50,1),(54,1)}
      22:{1,4,5}:{(11,1),(13,1),(14,1),(28,1),(34,1)}
      23:{2,4,5}:{(12,1),(13,1),(15,1),(31,1),(35,1)}
      24:{3,6}:{(14,1),(34,1),(36,1)}
      25:{3,6}:{(15,1),(35,1),(37,1)}
      26:{2,3,6}:{(16,1),(20,1),(38,1),(39,1),(69,1),(79,1)}
      27:{1,2,5}:{(16,1),(17,1),(39,1),(40,1),(48,1),(80,1)}
      28:{1,4}:{(17,1),(41,1),(47,1)}
      29:{1,3,6}:{(18,1),(20,1),(42,1),(43,1),(63,1),(81,1)}
      30:{1,2,5}:{(18,1),(19,1),(43,1),(44,1),(49,1),(82,1)}
      31:{2,4}:{(19,1),(45,1),(47,1)}
      32:{3,4,6}:{(20,1),(38,1),(42,1),(46,1),(47,1),(62,1),(67,1),(70,1),(79,1),(81,1)}
      33:{3,5}:{(20,1),(21,1),(47,1)}
      34:{3,5}:{(22,1),(24,1),(41,1),(48,1)}
      35:{3,5}:{(23,1),(25,1),(45,1),(49,1)}
      36:{2,6}:{(24,1),(48,1)}
      37:{1,6}:{(25,1),(49,1)}
      38:{2,4,6}:{(26,1),(32,1),(50,1),(51,1),(77,1),(84,1)}
      39:{2,3,5}:{(26,1),(27,1),(33,1),(50,1),(51,1),(52,1),(72,1)}
      40:{1,2,4}:{(27,1),(28,1),(51,1),(52,1),(53,1),(73,1),(74,1)}
      41:{3,4}:{(28,1),(34,1),(52,1),(53,1)}
      42:{1,4,6}:{(29,1),(32,1),(54,1),(55,1),(73,1),(83,1)}
      43:{1,3,5}:{(29,1),(30,1),(33,1),(54,1),(55,1),(56,1),(76,1)}
      44:{1,2,4}:{(30,1),(31,1),(55,1),(56,1),(57,1),(77,1),(78,1)}
      45:{3,4}:{(31,1),(35,1),(56,1),(57,1)}
      46:{3,5}:{(32,1),(50,1),(54,1),(59,1)}
      47:{4}:{(33,1)}
      48:{2,5}:{(34,1),(36,1),(53,1)}
      49:{1,5}:{(35,1),(37,1),(57,1)}
      50:{2,5}:{(38,1),(46,1)}
      51:{2,4}:{(39,1),(47,1),(62,1)}
      52:{3}:{(40,1)}
      53:{2,4}:{(41,1),(48,1),(64,1)}
      54:{1,5}:{(42,1),(46,1)}
      55:{1,4}:{(43,1),(47,1),(67,1)}
      56:{3}:{(44,1)}
      57:{1,4}:{(45,1),(49,1),(68,1)}
      58:{3,5,6}:{(46,1),(60,1),(65,1),(70,1),(79,1),(81,1)}
      59:{4,5}:{(46,1),(47,1),(70,1)}
      60:{2,5,6}:{(50,1),(58,1),(71,1),(84,1)}
      61:{2,4,5}:{(50,1),(51,1),(59,1),(71,1),(72,1)}
      62:{3,4}:{(51,1),(52,1),(72,1),(73,1)}
      63:{1,3}:{(52,1),(73,1),(74,1)}
      64:{2,3}:{(52,1),(53,1),(74,1)}
      65:{1,5,6}:{(54,1),(58,1),(75,1),(83,1)}
      66:{1,4,5}:{(54,1),(55,1),(59,1),(75,1),(76,1)}
      67:{3,4}:{(55,1),(56,1),(76,1),(77,1)}
      68:{1,3}:{(56,1),(57,1),(78,1)}
      69:{2,3}:{(56,1),(77,1),(78,1)}
      70:{4,6}:{(58,1),(59,1)}
      71:{2,4,6}:{(60,1),(61,1),(70,1),(79,1)}
      72:{3,5}:{(61,1),(62,1),(79,1),(80,1)}
      73:{1,4}:{(62,1),(63,1),(80,1)}
      74:{1,2}:{(63,1),(64,1)}
      75:{1,4,6}:{(65,1),(66,1),(70,1),(81,1)}
      76:{3,5}:{(66,1),(67,1),(81,1),(82,1)}
      77:{2,4}:{(67,1),(69,1),(82,1)}
      78:{1,2}:{(68,1),(69,1)}
      79:{3,6}:{(71,1),(72,1),(83,1)}
      80:{1,5}:{(72,1),(73,1),(83,1)}
      81:{3,6}:{(75,1),(76,1),(84,1)}
      82:{2,5}:{(76,1),(77,1),(84,1)}
      83:{1,6}:{(79,1),(80,1)}
      84:{2,6}:{(81,1),(82,1)}

110 :  0:{4,5,6}:{(1,1),(21,1)}
       1:{3,5,6}:{(0,1),(2,1),(3,1),(4,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(20,1),(21,1)}
       3:{1,5,6}:{(1,1),(6,1)}
       4:{2,5,6}:{(1,1),(7,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(26,1),(30,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(11,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(12,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(14,1),(43,1),(44,1)}
       9:{1,4,5}:{(5,1),(6,1),(15,1)}
      10:{2,4,5}:{(5,1),(7,1),(16,1)}
      11:{1,3,6}:{(6,1),(15,1),(18,1),(20,1)}
      12:{2,3,6}:{(7,1),(16,1),(19,1),(20,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(18,1),(19,1),(20,1),(21,1),(36,1),(37,1)}
      14:{3,5,6}:{(8,1),(20,1),(21,1),(38,1)}
      15:{1,3,5}:{(9,1),(11,1),(22,1),(24,1),(26,1)}
      16:{2,3,5}:{(10,1),(12,1),(23,1),(25,1),(26,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(13,1),(24,1),(25,1),(26,1),(30,1),(41,1),(42,1),(43,1),(44,1)}
      18:{1,2,6}:{(11,1),(24,1),(27,1)}
      19:{1,2,6}:{(12,1),(25,1),(28,1)}
      20:{3,6}:{(13,1),(26,1)}
      21:{4,6}:{(14,1),(30,1)}
      22:{1,3,4}:{(15,1),(31,1),(35,1)}
      23:{2,3,4}:{(16,1),(32,1),(35,1)}
      24:{1,2,5}:{(15,1),(18,1),(31,1),(33,1)}
      25:{1,2,5}:{(16,1),(19,1),(32,1),(34,1)}
      26:{3,5}:{(17,1),(20,1),(35,1)}
      27:{2,3,6}:{(18,1),(20,1),(33,1),(36,1)}
      28:{1,3,6}:{(19,1),(20,1),(34,1),(37,1)}
      29:{3,4,6}:{(20,1),(21,1),(35,1),(36,1),(37,1),(38,1)}
      30:{4,5}:{(21,1),(38,1)}
      31:{1,2,4}:{(22,1),(24,1),(39,1),(41,1)}
      32:{1,2,4}:{(23,1),(25,1),(40,1),(42,1)}
      33:{2,3,5}:{(24,1),(26,1),(27,1),(39,1),(41,1),(43,1)}
      34:{1,3,5}:{(25,1),(26,1),(28,1),(40,1),(42,1),(44,1)}
      35:{3,4}:{(26,1),(41,1),(42,1)}
      36:{2,4,6}:{(27,1),(29,1),(41,1),(43,1)}
      37:{1,4,6}:{(28,1),(29,1),(42,1),(44,1)}
      38:{3,5}:{(29,1),(30,1),(43,1),(44,1)}
      39:{2,3}:{(31,1)}
      40:{1,3}:{(32,1)}
      41:{2,4}:{(33,1),(35,1)}
      42:{1,4}:{(34,1),(35,1)}
      43:{2,5}:{(36,1),(38,1)}
      44:{1,5}:{(37,1),(38,1)}

111 :  0:{1,2,6}:{(1,1),(2,1),(23,1),(24,1)}
       1:{3,6}:{(0,1),(3,1),(4,1)}
       2:{1,2,5}:{(0,1),(4,1),(5,1),(20,1),(21,1)}
       3:{4,6}:{(1,1),(6,1),(7,1)}
       4:{3,5}:{(1,1),(2,1),(6,1),(7,1),(8,1)}
       5:{1,2,4}:{(2,1),(7,1),(8,1),(16,1),(17,1),(18,1)}
       6:{5}:{(3,1)}
       7:{4}:{(4,1)}
       8:{3}:{(5,1)}
       9:{5,6}:{(6,1),(14,1),(32,1)}
      10:{4,5}:{(6,1),(7,1),(14,1),(15,1),(30,1),(32,1)}
      11:{3,4}:{(7,1),(8,1),(15,1),(16,1),(17,1),(26,1),(30,1)}
      12:{1,3}:{(8,1),(16,1),(18,1),(26,1)}
      13:{2,3}:{(8,1),(17,1),(18,1),(26,1)}
      14:{4,6}:{(9,1),(10,1),(19,1)}
      15:{3,5}:{(10,1),(11,1),(19,1),(20,1),(21,1)}
      16:{1,4}:{(11,1),(12,1),(20,1)}
      17:{2,4}:{(11,1),(13,1),(21,1)}
      18:{1,2}:{(12,1),(13,1)}
      19:{3,6}:{(14,1),(15,1),(23,1),(24,1)}
      20:{1,5}:{(15,1),(16,1),(23,1)}
      21:{2,5}:{(15,1),(17,1),(24,1)}
      22:{1,2,4}:{(16,1),(17,1),(18,1),(25,1),(26,1),(30,1)}
      23:{1,6}:{(19,1),(20,1)}
      24:{2,6}:{(19,1),(21,1)}
      25:{1,2,5}:{(20,1),(21,1),(22,1),(27,1),(28,1)}
      26:{3}:{(22,1)}
      27:{1,2,6}:{(23,1),(24,1),(25,1),(29,1)}
      28:{3,5}:{(25,1),(26,1),(29,1),(30,1),(32,1)}
      29:{3,6}:{(27,1),(28,1),(31,1)}
      30:{4}:{(28,1)}
      31:{4,6}:{(29,1),(30,1),(32,1)}
      32:{5}:{(31,1)}

112 : 0:{1,2}:{(1,1)}
      1:{3}:{(0,1),(2,1)}
      2:{4}:{(1,1),(3,1)}
      3:{5}:{(2,1),(4,1)}
      4:{6}:{(3,1)}

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

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

115 :  0:{1,3,4}:{(1,1),(2,1),(19,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1),(12,1)}
       2:{1,3,5}:{(0,1),(4,1),(5,1),(6,1),(14,1)}
       3:{2,3}:{(1,1)}
       4:{1,2,5}:{(1,1),(2,1),(7,1),(9,1)}
       5:{1,4,5}:{(2,1),(10,1),(11,1)}
       6:{1,3,6}:{(2,1),(9,1),(11,1),(23,1)}
       7:{2,3,5}:{(3,1),(4,1),(12,1),(13,1),(14,1),(30,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(12,1),(14,1),(15,1),(16,1),(27,1),(30,1),(31,1),(43,1),(44,1)}
       9:{1,2,6}:{(4,1),(6,1),(13,1)}
      10:{3,4,5}:{(5,1),(14,1),(16,1),(17,1),(44,1)}
      11:{1,4,6}:{(5,1),(6,1),(17,1),(18,1)}
      12:{2,4}:{(7,1),(19,1)}
      13:{2,3,6}:{(7,1),(9,1),(20,1),(23,1)}
      14:{3,5}:{(8,1),(19,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(11,1),(20,1),(23,1),(24,1),(25,1),(38,1),(40,1),(41,1)}
      16:{2,4,5}:{(10,1),(22,1),(25,1)}
      17:{3,4,6}:{(10,1),(11,1),(23,1),(25,1),(26,1),(41,1)}
      18:{1,5,6}:{(11,1),(26,1)}
      19:{3,4}:{(12,1),(14,1),(27,1)}
      20:{2,4,6}:{(12,1),(13,1),(29,1),(30,1)}
      21:{1,3,5}:{(14,1),(27,1),(31,1),(32,1),(42,1),(43,1)}
      22:{2,3,5}:{(14,1),(16,1),(28,1),(31,1),(33,1)}
      23:{3,6}:{(14,1),(15,1)}
      24:{1,2,5,6}:{(15,1),(18,1),(30,1),(34,1),(35,1),(43,1)}
      25:{2,4,6}:{(16,1),(17,1),(33,1),(35,1)}
      26:{3,5,6}:{(17,1),(18,1),(35,1),(36,1)}
      27:{1,4}:{(19,1),(21,1)}
      28:{2,3,4}:{(19,1),(22,1),(37,1)}
      29:{3,4,6}:{(19,1),(20,1),(23,1),(38,1),(39,1),(41,1)}
      30:{2,5}:{(20,1),(39,1)}
      31:{1,2,5}:{(21,1),(22,1),(37,1),(40,1)}
      32:{1,3,6}:{(21,1),(23,1),(38,1),(40,1)}
      33:{2,3,6}:{(22,1),(23,1),(25,1),(40,1)}
      34:{3,5,6}:{(23,1),(24,1),(39,1),(41,1)}
      35:{2,5,6}:{(25,1),(26,1)}
      36:{4,5,6}:{(26,1),(41,1)}
      37:{1,2,4}:{(27,1),(28,1),(31,1),(42,1)}
      38:{1,4,6}:{(27,1),(29,1),(32,1),(43,1)}
      39:{3,5}:{(29,1),(30,1),(43,1),(44,1)}
      40:{1,2,6}:{(31,1),(32,1),(33,1)}
      41:{4,6}:{(34,1),(44,1)}
      42:{1,3}:{(37,1)}
      43:{1,5}:{(38,1),(39,1)}
      44:{4,5}:{(39,1),(41,1)}

116 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(12,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(11,1),(14,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(5,1),(19,1),(20,1),(27,1)}
       3:{1,4,6}:{(0,1),(6,1),(7,1),(25,1)}
       4:{2,4,6}:{(1,1),(8,1),(9,1),(26,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(11,1),(13,1),(15,1),(24,1),(28,1)}
       6:{1,4,5}:{(3,1),(12,1)}
       7:{3,4,6}:{(3,1),(11,1),(12,1),(13,1),(21,1)}
       8:{2,4,5}:{(4,1),(14,1)}
       9:{3,4,6}:{(4,1),(11,1),(14,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(8,1),(16,1),(19,1),(20,1),(25,1),(26,1),(27,1)}
      11:{3,6}:{(5,1),(16,1),(29,1)}
      12:{3,5}:{(6,1),(7,1),(19,1)}
      13:{2,4,6}:{(7,1),(18,1),(19,1),(26,1)}
      14:{3,5}:{(8,1),(9,1),(20,1)}
      15:{1,4,6}:{(9,1),(17,1),(20,1),(25,1)}
      16:{3,5}:{(10,1),(11,1),(21,1)}
      17:{1,3,6}:{(11,1),(15,1),(22,1),(24,1)}
      18:{2,3,6}:{(11,1),(13,1),(23,1),(24,1)}
      19:{2,5}:{(12,1),(13,1)}
      20:{1,5}:{(14,1),(15,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(17,1),(20,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(18,1),(19,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(17,1),(18,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

117 :  0:{2,3,4}:{(1,1),(2,1),(19,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1),(12,1)}
       2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1),(14,1)}
       3:{1,3}:{(1,1)}
       4:{1,2,5}:{(1,1),(2,1),(7,1),(9,1)}
       5:{2,4,5}:{(2,1),(10,1),(11,1)}
       6:{2,3,6}:{(2,1),(9,1),(11,1),(23,1)}
       7:{1,3,5}:{(3,1),(4,1),(12,1),(13,1),(14,1),(30,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(12,1),(14,1),(15,1),(16,1),(28,1),(30,1),(31,1),(43,1),(44,1)}
       9:{1,2,6}:{(4,1),(6,1),(13,1)}
      10:{3,4,5}:{(5,1),(14,1),(16,1),(17,1),(44,1)}
      11:{2,4,6}:{(5,1),(6,1),(17,1),(18,1)}
      12:{1,4}:{(7,1),(19,1)}
      13:{1,3,6}:{(7,1),(9,1),(20,1),(23,1)}
      14:{3,5}:{(8,1),(19,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(11,1),(20,1),(23,1),(24,1),(25,1),(38,1),(40,1),(41,1)}
      16:{1,4,5}:{(10,1),(21,1),(25,1)}
      17:{3,4,6}:{(10,1),(11,1),(23,1),(25,1),(26,1),(41,1)}
      18:{2,5,6}:{(11,1),(26,1)}
      19:{3,4}:{(12,1),(14,1),(28,1)}
      20:{1,4,6}:{(12,1),(13,1),(29,1),(30,1)}
      21:{1,3,5}:{(14,1),(16,1),(27,1),(31,1),(32,1)}
      22:{2,3,5}:{(14,1),(28,1),(31,1),(33,1),(42,1),(43,1)}
      23:{3,6}:{(14,1),(15,1)}
      24:{1,2,5,6}:{(15,1),(18,1),(30,1),(34,1),(35,1),(43,1)}
      25:{1,4,6}:{(16,1),(17,1),(32,1),(35,1)}
      26:{3,5,6}:{(17,1),(18,1),(35,1),(36,1)}
      27:{1,3,4}:{(19,1),(21,1),(37,1)}
      28:{2,4}:{(19,1),(22,1)}
      29:{3,4,6}:{(19,1),(20,1),(23,1),(38,1),(39,1),(41,1)}
      30:{1,5}:{(20,1),(39,1)}
      31:{1,2,5}:{(21,1),(22,1),(37,1),(40,1)}
      32:{1,3,6}:{(21,1),(23,1),(25,1),(40,1)}
      33:{2,3,6}:{(22,1),(23,1),(38,1),(40,1)}
      34:{3,5,6}:{(23,1),(24,1),(39,1),(41,1)}
      35:{1,5,6}:{(25,1),(26,1)}
      36:{4,5,6}:{(26,1),(41,1)}
      37:{1,2,4}:{(27,1),(28,1),(31,1),(42,1)}
      38:{2,4,6}:{(28,1),(29,1),(33,1),(43,1)}
      39:{3,5}:{(29,1),(30,1),(43,1),(44,1)}
      40:{1,2,6}:{(31,1),(32,1),(33,1)}
      41:{4,6}:{(34,1),(44,1)}
      42:{2,3}:{(37,1)}
      43:{2,5}:{(38,1),(39,1)}
      44:{4,5}:{(39,1),(41,1)}

118 : 0:{1,2,3}:{(1,1)}
      1:{1,2,4}:{(0,1),(2,1),(3,1)}
      2:{3,4}:{(1,1),(4,1)}
      3:{1,2,5}:{(1,1),(4,1),(5,1)}
      4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
      5:{1,2,6}:{(3,1),(7,1)}
      6:{4,5}:{(4,1),(8,1)}
      7:{3,6}:{(4,1),(5,1),(8,1)}
      8:{4,6}:{(6,1),(7,1),(9,1)}
      9:{5,6}:{(8,1)}

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

120 :  0:{1,3,4,6}:{(1,1),(2,1),(10,1),(20,1),(21,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(13,1)}
       2:{1,3,5}:{(0,1),(4,1),(6,1),(15,1),(38,1)}
       3:{2,3,6}:{(1,1),(7,1),(21,1)}
       4:{1,2,5}:{(1,1),(2,1),(7,1)}
       5:{1,3,5,6}:{(2,1),(8,1),(10,1),(21,1),(24,1)}
       6:{1,4,5}:{(2,1),(10,1),(11,1)}
       7:{2,3,5}:{(3,1),(4,1),(13,1),(15,1)}
       8:{1,2,5,6}:{(4,1),(5,1),(12,1),(14,1),(33,1),(38,1)}
       9:{1,2,4,5}:{(4,1),(6,1),(13,1),(14,1),(15,1),(18,1),(26,1),(28,1),(32,1),(38,1)}
      10:{1,4,6}:{(5,1),(6,1),(17,1)}
      11:{3,4,5}:{(6,1),(15,1),(17,1),(18,1)}
      12:{2,3,5,6}:{(7,1),(8,1),(19,1),(21,1),(34,1)}
      13:{2,4}:{(7,1),(20,1)}
      14:{1,2,4,6}:{(8,1),(9,1),(10,1),(19,1),(21,1),(25,1),(35,1),(37,1)}
      15:{3,5}:{(9,1),(20,1),(21,1)}
      16:{1,4,5,6}:{(10,1),(24,1)}
      17:{3,4,6}:{(10,1),(11,1),(21,1),(24,1),(25,1)}
      18:{2,4,5}:{(11,1),(23,1),(25,1)}
      19:{2,4,6}:{(12,1),(13,1),(26,1),(27,1)}
      20:{3,4}:{(13,1),(15,1),(28,1)}
      21:{3,6}:{(14,1),(15,1)}
      22:{1,3,5}:{(15,1),(28,1),(30,1),(32,1),(38,1),(39,1)}
      23:{2,3,5}:{(15,1),(18,1),(29,1),(31,1),(32,1)}
      24:{3,5,6}:{(16,1),(17,1),(33,1)}
      25:{2,4,6}:{(17,1),(18,1),(31,1),(33,1)}
      26:{2,4,5}:{(19,1),(34,1)}
      27:{3,4,6}:{(19,1),(20,1),(21,1),(34,1),(35,1)}
      28:{1,4}:{(20,1),(22,1)}
      29:{2,3,4}:{(20,1),(23,1),(36,1)}
      30:{1,3,6}:{(21,1),(22,1),(35,1),(37,1)}
      31:{2,3,6}:{(21,1),(23,1),(25,1),(37,1)}
      32:{1,2,5}:{(22,1),(23,1),(36,1),(37,1)}
      33:{2,5,6}:{(24,1),(25,1)}
      34:{3,5}:{(26,1),(27,1),(38,1)}
      35:{1,4,6}:{(27,1),(28,1),(30,1),(38,1)}
      36:{1,2,4}:{(28,1),(29,1),(32,1),(39,1)}
      37:{1,2,6}:{(30,1),(31,1),(32,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(36,1)}

121 :  0:{1,3,4}:{(2,1),(3,1),(30,1)}
       1:{3,4,5}:{(4,1),(5,1),(6,1),(20,1),(44,1)}
       2:{1,3,5}:{(0,1),(4,1),(7,1),(8,1),(20,1)}
       3:{1,2,4}:{(0,1),(7,1),(9,1),(25,1)}
       4:{1,4,5}:{(1,1),(2,1),(12,1)}
       5:{2,4,5}:{(1,1),(10,1),(13,1)}
       6:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(31,1),(42,1)}
       7:{1,2,5}:{(2,1),(3,1),(15,1),(16,1)}
       8:{1,3,6}:{(2,1),(12,1),(16,1),(31,1)}
       9:{2,3}:{(3,1)}
      10:{2,3,5}:{(5,1),(17,1),(18,1),(19,1),(20,1)}
      11:{1,2,4,5}:{(4,1),(5,1),(7,1),(18,1),(20,1),(21,1),(25,1),(35,1),(39,1),(43,1),(44,1)}
      12:{1,4,6}:{(4,1),(6,1),(8,1),(22,1)}
      13:{2,4,6}:{(5,1),(6,1),(19,1),(23,1)}
      14:{3,5,6}:{(6,1),(22,1),(23,1),(24,1)}
      15:{2,3,5}:{(7,1),(9,1),(20,1),(25,1),(26,1),(39,1)}
      16:{1,2,6}:{(7,1),(8,1),(26,1)}
      17:{2,3,4}:{(10,1),(27,1),(30,1)}
      18:{1,2,5}:{(10,1),(27,1),(28,1),(29,1)}
      19:{2,3,6}:{(10,1),(13,1),(29,1),(31,1)}
      20:{3,5}:{(11,1),(30,1),(31,1)}
      21:{1,2,4,6}:{(11,1),(12,1),(13,1),(16,1),(29,1),(31,1),(32,1),(33,1),(40,1),(42,1)}
      22:{1,5,6}:{(12,1),(14,1)}
      23:{2,5,6}:{(13,1),(14,1)}
      24:{4,5,6}:{(14,1),(42,1)}
      25:{2,4}:{(15,1),(30,1)}
      26:{2,3,6}:{(15,1),(16,1),(31,1),(33,1)}
      27:{1,2,4}:{(17,1),(18,1),(34,1),(35,1)}
      28:{1,3,5}:{(18,1),(20,1),(34,1),(35,1),(36,1),(43,1)}
      29:{1,2,6}:{(18,1),(19,1),(36,1)}
      30:{3,4}:{(20,1),(25,1),(35,1)}
      31:{3,6}:{(20,1),(21,1)}
      32:{1,2,5,6}:{(21,1),(22,1),(23,1),(38,1),(39,1),(43,1)}
      33:{2,4,6}:{(25,1),(26,1),(37,1),(39,1)}
      34:{1,3}:{(27,1)}
      35:{1,4}:{(28,1),(30,1)}
      36:{1,3,6}:{(28,1),(29,1),(31,1),(40,1)}
      37:{3,4,6}:{(30,1),(31,1),(33,1),(40,1),(41,1),(42,1)}
      38:{3,5,6}:{(31,1),(32,1),(41,1),(42,1)}
      39:{2,5}:{(33,1),(41,1)}
      40:{1,4,6}:{(35,1),(36,1),(37,1),(43,1)}
      41:{3,5}:{(37,1),(39,1),(43,1),(44,1)}
      42:{4,6}:{(38,1),(44,1)}
      43:{1,5}:{(40,1),(41,1)}
      44:{4,5}:{(41,1),(42,1)}

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

123 :  0:{2,5,6}:{(2,1),(3,1),(30,1),(33,1)}
       1:{2,4,5}:{(3,1),(4,1),(12,1),(15,1),(33,1)}
       2:{3,5,6}:{(0,1),(5,1),(6,1),(8,1),(20,1),(22,1)}
       3:{2,4,6}:{(0,1),(1,1),(6,1),(8,1)}
       4:{3,5}:{(1,1),(7,1),(8,1),(9,1)}
       5:{1,5,6}:{(2,1),(11,1),(16,1),(32,1)}
       6:{4,6}:{(2,1),(12,1)}
       7:{3,4}:{(4,1),(14,1),(15,1),(35,1)}
       8:{3,6}:{(3,1),(4,1),(16,1)}
       9:{1,5}:{(4,1),(14,1),(16,1)}
      10:{2,3,5}:{(4,1),(15,1),(17,1),(18,1),(33,1),(35,1),(53,1)}
      11:{1,4,6}:{(5,1),(6,1),(19,1),(20,1)}
      12:{4,5}:{(6,1),(22,1),(63,1)}
      13:{3,4,6}:{(6,1),(7,1),(8,1),(20,1),(22,1),(23,1),(24,1),(38,1),(44,1),(63,1)}
      14:{1,4}:{(7,1),(9,1),(21,1)}
      15:{2,4}:{(7,1),(10,1),(63,1)}
      16:{1,6}:{(8,1),(9,1)}
      17:{2,3,6}:{(8,1),(10,1),(24,1),(26,1),(44,1),(58,1)}
      18:{1,2,5}:{(9,1),(10,1),(25,1),(26,1),(27,1),(62,1)}
      19:{1,4,5}:{(11,1),(12,1),(28,1),(32,1),(48,1)}
      20:{3,6}:{(11,1),(28,1),(30,1)}
      21:{1,3}:{(14,1),(31,1),(35,1)}
      22:{3,5}:{(12,1),(13,1),(32,1),(33,1)}
      23:{1,4,6}:{(13,1),(14,1),(16,1),(29,1),(32,1),(48,1)}
      24:{2,4,6}:{(13,1),(15,1),(17,1),(30,1),(33,1),(49,1)}
      25:{1,2,4}:{(14,1),(15,1),(18,1),(31,1),(35,1),(37,1),(52,1)}
      26:{1,2,6}:{(16,1),(17,1),(18,1),(36,1),(67,1),(71,1)}
      27:{1,3,5}:{(18,1),(35,1),(36,1),(37,1),(53,1),(55,1),(56,1)}
      28:{3,5}:{(19,1),(20,1),(38,1),(40,1)}
      29:{1,3,6}:{(20,1),(21,1),(23,1),(39,1),(41,1),(44,1)}
      30:{2,6}:{(20,1),(40,1)}
      31:{1,2}:{(21,1),(42,1)}
      32:{1,5}:{(22,1),(23,1)}
      33:{2,5}:{(22,1),(24,1)}
      34:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(41,1),(43,1),(44,1),(46,1),(59,1),(61,1),(63,1)}
      35:{3}:{(25,1)}
      36:{1,3,6}:{(26,1),(27,1),(44,1),(46,1),(65,1),(74,1)}
      37:{1,4}:{(27,1),(45,1),(63,1)}
      38:{3,4}:{(28,1),(48,1),(49,1),(68,1)}
      39:{1,3,5}:{(28,1),(29,1),(32,1),(48,1),(50,1),(53,1),(68,1)}
      40:{2,5}:{(28,1),(30,1),(49,1)}
      41:{1,2,6}:{(29,1),(30,1),(31,1),(50,1),(51,1),(84,1)}
      42:{2,3}:{(31,1),(35,1),(52,1)}
      43:{1,2,5}:{(32,1),(33,1),(34,1),(53,1),(56,1),(70,1)}
      44:{3,6}:{(34,1),(35,1),(53,1),(68,1)}
      45:{3,4}:{(35,1),(37,1),(52,1),(55,1)}
      46:{1,4,6}:{(36,1),(37,1),(54,1),(56,1),(79,1),(84,1)}
      47:{1,4,5}:{(37,1),(55,1),(56,1),(57,1),(72,1)}
      48:{1,4}:{(38,1),(39,1),(63,1)}
      49:{2,4}:{(38,1),(40,1),(58,1)}
      50:{1,2,5}:{(39,1),(40,1),(41,1),(59,1),(60,1),(82,1)}
      51:{2,3,6}:{(41,1),(42,1),(44,1),(60,1),(61,1),(83,1)}
      52:{2,4}:{(42,1),(45,1),(62,1)}
      53:{3,5}:{(43,1),(44,1),(63,1)}
      54:{3,4,6}:{(44,1),(45,1),(46,1),(61,1),(63,1),(64,1),(65,1),(75,1),(78,1),(83,1)}
      55:{3,5}:{(45,1),(47,1),(62,1),(65,1)}
      56:{1,5}:{(46,1),(64,1)}
      57:{1,4,6}:{(47,1),(65,1),(66,1),(78,1)}
      58:{2,3}:{(49,1),(67,1),(68,1)}
      59:{1,2,4}:{(48,1),(49,1),(50,1),(67,1),(68,1),(69,1),(79,1)}
      60:{2,3,5}:{(50,1),(51,1),(53,1),(68,1),(69,1),(70,1),(80,1)}
      61:{2,4,6}:{(51,1),(52,1),(54,1),(69,1),(70,1),(71,1)}
      62:{2,5}:{(52,1),(55,1),(71,1)}
      63:{4}:{(53,1)}
      64:{3,5}:{(54,1),(56,1),(70,1),(72,1)}
      65:{3,6}:{(55,1),(57,1),(71,1)}
      66:{1,5,6}:{(56,1),(57,1),(73,1),(84,1)}
      67:{1,2}:{(58,1),(74,1)}
      68:{3}:{(59,1)}
      69:{2,4}:{(60,1),(63,1),(75,1)}
      70:{2,5}:{(61,1),(64,1)}
      71:{2,6}:{(62,1),(65,1)}
      72:{4,5}:{(63,1),(64,1),(78,1)}
      73:{3,5,6}:{(64,1),(65,1),(66,1),(77,1),(78,1),(83,1)}
      74:{1,3}:{(67,1),(68,1),(79,1)}
      75:{3,4}:{(68,1),(69,1),(79,1),(80,1)}
      76:{2,4,5}:{(69,1),(70,1),(72,1),(80,1),(81,1)}
      77:{2,5,6}:{(70,1),(71,1),(73,1),(81,1)}
      78:{4,6}:{(72,1),(73,1)}
      79:{1,4}:{(74,1),(75,1),(82,1)}
      80:{3,5}:{(75,1),(76,1),(82,1),(83,1)}
      81:{2,4,6}:{(76,1),(77,1),(78,1),(83,1)}
      82:{1,5}:{(79,1),(80,1),(84,1)}
      83:{3,6}:{(80,1),(81,1),(84,1)}
      84:{1,6}:{(82,1),(83,1)}

124 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(17,1),(44,1)}
       1:{1,4,5}:{(0,1),(5,1),(8,1)}
       2:{2,4,5}:{(0,1),(6,1),(9,1)}
       3:{3,4,6}:{(0,1),(8,1),(9,1),(10,1),(29,1),(41,1)}
       4:{1,3,4}:{(5,1),(11,1),(28,1)}
       5:{1,3,5}:{(1,1),(4,1),(13,1),(14,1),(17,1)}
       6:{2,3,5}:{(2,1),(12,1),(15,1),(16,1),(17,1)}
       7:{1,2,4,5}:{(1,1),(2,1),(13,1),(15,1),(17,1),(18,1),(32,1),(34,1),(42,1),(43,1),(44,1)}
       8:{1,4,6}:{(1,1),(3,1),(14,1),(19,1)}
       9:{2,4,6}:{(2,1),(3,1),(16,1),(20,1)}
      10:{3,5,6}:{(3,1),(19,1),(20,1),(21,1)}
      11:{1,2,4}:{(4,1),(13,1),(22,1),(32,1)}
      12:{2,3,4}:{(6,1),(23,1),(28,1)}
      13:{1,2,5}:{(5,1),(11,1),(24,1),(25,1)}
      14:{1,3,6}:{(5,1),(8,1),(25,1),(29,1)}
      15:{1,2,5}:{(6,1),(23,1),(26,1),(27,1)}
      16:{2,3,6}:{(6,1),(9,1),(27,1),(29,1)}
      17:{3,5}:{(7,1),(28,1),(29,1)}
      18:{1,2,4,6}:{(7,1),(8,1),(9,1),(25,1),(27,1),(29,1),(30,1),(38,1),(39,1),(41,1)}
      19:{1,5,6}:{(8,1),(10,1)}
      20:{2,5,6}:{(9,1),(10,1)}
      21:{4,5,6}:{(10,1),(41,1)}
      22:{2,3}:{(11,1)}
      23:{1,2,4}:{(12,1),(15,1),(31,1),(34,1)}
      24:{2,3,5}:{(13,1),(17,1),(22,1),(32,1),(33,1),(42,1)}
      25:{1,2,6}:{(13,1),(14,1),(33,1)}
      26:{1,3,5}:{(15,1),(17,1),(31,1),(34,1),(35,1),(43,1)}
      27:{1,2,6}:{(15,1),(16,1),(35,1)}
      28:{3,4}:{(17,1),(32,1),(34,1)}
      29:{3,6}:{(17,1),(18,1)}
      30:{1,2,5,6}:{(18,1),(19,1),(20,1),(37,1),(42,1),(43,1)}
      31:{1,3}:{(23,1)}
      32:{2,4}:{(24,1),(28,1)}
      33:{2,3,6}:{(24,1),(25,1),(29,1),(38,1)}
      34:{1,4}:{(26,1),(28,1)}
      35:{1,3,6}:{(26,1),(27,1),(29,1),(39,1)}
      36:{3,4,6}:{(28,1),(29,1),(38,1),(39,1),(40,1),(41,1)}
      37:{3,5,6}:{(29,1),(30,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(33,1),(36,1),(42,1)}
      39:{1,4,6}:{(34,1),(35,1),(36,1),(43,1)}
      40:{3,5}:{(36,1),(42,1),(43,1),(44,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{2,5}:{(38,1),(40,1)}
      43:{1,5}:{(39,1),(40,1)}
      44:{4,5}:{(40,1),(41,1)}

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

126 : 0:{2,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{2,5}:{(0,1),(4,1),(9,1)}
      3:{1,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{1,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{1,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{2}:{(8,1)}

127 :  0:{1,4,5,6}:{(1,1),(6,1)}
       1:{3,5,6}:{(0,1),(2,1),(4,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(20,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(15,1),(20,1)}
       4:{2,5,6}:{(1,1),(7,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(25,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(12,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(14,1),(23,1),(39,1)}
       9:{1,4,5}:{(5,1),(6,1),(15,1)}
      10:{2,4,5}:{(5,1),(7,1),(16,1)}
      11:{1,3,4,6}:{(6,1),(15,1),(18,1),(20,1),(33,1),(34,1)}
      12:{2,3,6}:{(7,1),(16,1),(19,1),(20,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(19,1),(20,1),(21,1),(34,1)}
      14:{2,3,5,6}:{(8,1),(20,1),(21,1),(31,1),(35,1)}
      15:{1,3,5}:{(9,1),(11,1),(23,1),(25,1),(39,1)}
      16:{2,3,5}:{(10,1),(12,1),(22,1),(24,1),(25,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(13,1),(23,1),(24,1),(25,1),(29,1),(37,1),(38,1),(39,1)}
      18:{1,2,4,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,2,6}:{(12,1),(24,1),(27,1)}
      20:{3,6}:{(13,1),(25,1)}
      21:{2,4,6}:{(14,1),(28,1),(29,1),(37,1)}
      22:{2,3,4}:{(16,1),(30,1),(33,1)}
      23:{1,2,5}:{(15,1),(18,1),(31,1)}
      24:{1,2,5}:{(16,1),(19,1),(30,1),(32,1)}
      25:{3,5}:{(17,1),(20,1),(33,1)}
      26:{2,3,6}:{(18,1),(20,1),(31,1)}
      27:{1,3,6}:{(19,1),(20,1),(32,1),(34,1)}
      28:{3,4,6}:{(20,1),(21,1),(33,1),(34,1),(35,1)}
      29:{2,4,5}:{(21,1),(35,1)}
      30:{1,2,4}:{(22,1),(24,1),(36,1),(38,1)}
      31:{2,3,5}:{(23,1),(25,1),(26,1),(37,1)}
      32:{1,3,5}:{(24,1),(25,1),(27,1),(36,1),(38,1),(39,1)}
      33:{3,4}:{(25,1),(37,1),(38,1)}
      34:{1,4,6}:{(27,1),(28,1),(38,1),(39,1)}
      35:{3,5}:{(28,1),(29,1),(39,1)}
      36:{1,3}:{(30,1)}
      37:{2,4}:{(31,1),(33,1)}
      38:{1,4}:{(32,1),(33,1)}
      39:{1,5}:{(34,1),(35,1)}

128 :  0:{1,2,4,5}:{(1,1),(2,1),(8,1),(9,1),(11,1),(23,1),(24,1),(25,1)}
       1:{3,5}:{(0,1),(3,1),(6,1)}
       2:{1,2,4,6}:{(0,1),(6,1),(7,1),(16,1),(17,1),(19,1),(20,1)}
       3:{3,4}:{(1,1),(8,1),(9,1),(21,1)}
       4:{1,3,5}:{(1,1),(8,1),(11,1),(12,1),(21,1),(23,1),(28,1)}
       5:{2,3,5}:{(1,1),(9,1),(11,1),(13,1),(21,1),(24,1),(28,1)}
       6:{3,6}:{(1,1),(2,1)}
       7:{1,2,5,6}:{(2,1),(14,1),(23,1),(24,1)}
       8:{1,4}:{(3,1),(4,1),(29,1)}
       9:{2,4}:{(3,1),(5,1),(29,1)}
      10:{3,4,6}:{(3,1),(6,1),(16,1),(17,1),(18,1),(20,1),(26,1),(29,1)}
      11:{1,2,5}:{(4,1),(5,1),(15,1),(19,1)}
      12:{1,3,6}:{(4,1),(6,1),(16,1),(19,1),(26,1)}
      13:{2,3,6}:{(5,1),(6,1),(17,1),(19,1),(26,1)}
      14:{3,5,6}:{(6,1),(7,1),(18,1),(20,1)}
      15:{1,2,4}:{(8,1),(9,1),(11,1),(21,1)}
      16:{1,4,6}:{(8,1),(10,1),(12,1),(23,1)}
      17:{2,4,6}:{(9,1),(10,1),(13,1),(24,1)}
      18:{3,5}:{(10,1),(23,1),(24,1),(25,1)}
      19:{1,2,6}:{(11,1),(12,1),(13,1)}
      20:{4,6}:{(14,1),(25,1)}
      21:{3}:{(15,1)}
      22:{1,2,4,6}:{(15,1),(16,1),(17,1),(19,1),(26,1),(27,1),(29,1)}
      23:{1,5}:{(16,1),(18,1)}
      24:{2,5}:{(17,1),(18,1)}
      25:{4,5}:{(18,1),(20,1),(29,1)}
      26:{3,6}:{(21,1),(22,1),(28,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

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

130 :  0:{1,5,6}:{(2,1),(3,1),(29,1),(32,1)}
       1:{1,4,5}:{(3,1),(4,1),(12,1),(14,1),(32,1)}
       2:{3,5,6}:{(0,1),(5,1),(6,1),(8,1),(20,1),(22,1)}
       3:{1,4,6}:{(0,1),(1,1),(6,1),(8,1)}
       4:{3,5}:{(1,1),(7,1),(8,1),(10,1)}
       5:{2,5,6}:{(2,1),(11,1),(17,1),(33,1)}
       6:{4,6}:{(2,1),(12,1)}
       7:{3,4}:{(4,1),(14,1),(15,1),(35,1)}
       8:{3,6}:{(3,1),(4,1),(17,1)}
       9:{1,3,5}:{(4,1),(14,1),(16,1),(18,1),(32,1),(35,1),(53,1)}
      10:{2,5}:{(4,1),(15,1),(17,1)}
      11:{2,4,6}:{(5,1),(6,1),(19,1),(20,1)}
      12:{4,5}:{(6,1),(22,1),(63,1)}
      13:{3,4,6}:{(6,1),(7,1),(8,1),(20,1),(22,1),(23,1),(24,1),(38,1),(44,1),(63,1)}
      14:{1,4}:{(7,1),(9,1),(63,1)}
      15:{2,4}:{(7,1),(10,1),(21,1)}
      16:{1,3,6}:{(8,1),(9,1),(23,1),(26,1),(44,1),(58,1)}
      17:{2,6}:{(8,1),(10,1)}
      18:{1,2,5}:{(9,1),(10,1),(25,1),(26,1),(27,1),(62,1)}
      19:{2,4,5}:{(11,1),(12,1),(28,1),(33,1),(49,1)}
      20:{3,6}:{(11,1),(28,1),(29,1)}
      21:{2,3}:{(15,1),(31,1),(35,1)}
      22:{3,5}:{(12,1),(13,1),(32,1),(33,1)}
      23:{1,4,6}:{(13,1),(14,1),(16,1),(29,1),(32,1),(48,1)}
      24:{2,4,6}:{(13,1),(15,1),(17,1),(30,1),(33,1),(49,1)}
      25:{1,2,4}:{(14,1),(15,1),(18,1),(31,1),(35,1),(37,1),(52,1)}
      26:{1,2,6}:{(16,1),(17,1),(18,1),(36,1),(67,1),(71,1)}
      27:{2,3,5}:{(18,1),(35,1),(36,1),(37,1),(53,1),(55,1),(56,1)}
      28:{3,5}:{(19,1),(20,1),(38,1),(39,1)}
      29:{1,6}:{(20,1),(39,1)}
      30:{2,3,6}:{(20,1),(21,1),(24,1),(40,1),(41,1),(44,1)}
      31:{1,2}:{(21,1),(42,1)}
      32:{1,5}:{(22,1),(23,1)}
      33:{2,5}:{(22,1),(24,1)}
      34:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(41,1),(43,1),(44,1),(46,1),(59,1),(61,1),(63,1)}
      35:{3}:{(25,1)}
      36:{2,3,6}:{(26,1),(27,1),(44,1),(46,1),(65,1),(74,1)}
      37:{2,4}:{(27,1),(45,1),(63,1)}
      38:{3,4}:{(28,1),(48,1),(49,1),(68,1)}
      39:{1,5}:{(28,1),(29,1),(48,1)}
      40:{2,3,5}:{(28,1),(30,1),(33,1),(49,1),(50,1),(53,1),(68,1)}
      41:{1,2,6}:{(29,1),(30,1),(31,1),(50,1),(51,1),(84,1)}
      42:{1,3}:{(31,1),(35,1),(52,1)}
      43:{1,2,5}:{(32,1),(33,1),(34,1),(53,1),(56,1),(70,1)}
      44:{3,6}:{(34,1),(35,1),(53,1),(68,1)}
      45:{3,4}:{(35,1),(37,1),(52,1),(55,1)}
      46:{2,4,6}:{(36,1),(37,1),(54,1),(56,1),(79,1),(84,1)}
      47:{2,4,5}:{(37,1),(55,1),(56,1),(57,1),(72,1)}
      48:{1,4}:{(38,1),(39,1),(58,1)}
      49:{2,4}:{(38,1),(40,1),(63,1)}
      50:{1,2,5}:{(39,1),(40,1),(41,1),(59,1),(60,1),(82,1)}
      51:{1,3,6}:{(41,1),(42,1),(44,1),(60,1),(61,1),(83,1)}
      52:{1,4}:{(42,1),(45,1),(62,1)}
      53:{3,5}:{(43,1),(44,1),(63,1)}
      54:{3,4,6}:{(44,1),(45,1),(46,1),(61,1),(63,1),(64,1),(65,1),(75,1),(78,1),(83,1)}
      55:{3,5}:{(45,1),(47,1),(62,1),(65,1)}
      56:{2,5}:{(46,1),(64,1)}
      57:{2,4,6}:{(47,1),(65,1),(66,1),(78,1)}
      58:{1,3}:{(48,1),(67,1),(68,1)}
      59:{1,2,4}:{(48,1),(49,1),(50,1),(67,1),(68,1),(69,1),(79,1)}
      60:{1,3,5}:{(50,1),(51,1),(53,1),(68,1),(69,1),(70,1),(80,1)}
      61:{1,4,6}:{(51,1),(52,1),(54,1),(69,1),(70,1),(71,1)}
      62:{1,5}:{(52,1),(55,1),(71,1)}
      63:{4}:{(53,1)}
      64:{3,5}:{(54,1),(56,1),(70,1),(72,1)}
      65:{3,6}:{(55,1),(57,1),(71,1)}
      66:{2,5,6}:{(56,1),(57,1),(73,1),(84,1)}
      67:{1,2}:{(58,1),(74,1)}
      68:{3}:{(59,1)}
      69:{1,4}:{(60,1),(63,1),(75,1)}
      70:{1,5}:{(61,1),(64,1)}
      71:{1,6}:{(62,1),(65,1)}
      72:{4,5}:{(63,1),(64,1),(78,1)}
      73:{3,5,6}:{(64,1),(65,1),(66,1),(77,1),(78,1),(83,1)}
      74:{2,3}:{(67,1),(68,1),(79,1)}
      75:{3,4}:{(68,1),(69,1),(79,1),(80,1)}
      76:{1,4,5}:{(69,1),(70,1),(72,1),(80,1),(81,1)}
      77:{1,5,6}:{(70,1),(71,1),(73,1),(81,1)}
      78:{4,6}:{(72,1),(73,1)}
      79:{2,4}:{(74,1),(75,1),(82,1)}
      80:{3,5}:{(75,1),(76,1),(82,1),(83,1)}
      81:{1,4,6}:{(76,1),(77,1),(78,1),(83,1)}
      82:{2,5}:{(79,1),(80,1),(84,1)}
      83:{3,6}:{(80,1),(81,1),(84,1)}
      84:{2,6}:{(82,1),(83,1)}

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

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

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

134 : 0:{1,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{1,5}:{(0,1),(4,1),(9,1)}
      3:{2,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{2,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{2,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{1}:{(8,1)}

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

136 :  0:{2,4,5,6}:{(1,1),(7,1)}
       1:{3,5,6}:{(0,1),(2,1),(3,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(20,1)}
       3:{1,5,6}:{(1,1),(6,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(16,1),(20,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(25,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(11,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(14,1),(24,1),(39,1)}
       9:{1,4,5}:{(5,1),(6,1),(15,1)}
      10:{2,4,5}:{(5,1),(7,1),(16,1)}
      11:{1,3,6}:{(6,1),(15,1),(18,1),(20,1)}
      12:{2,3,4,6}:{(7,1),(16,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(18,1),(20,1),(21,1),(34,1)}
      14:{1,3,5,6}:{(8,1),(20,1),(21,1),(32,1),(35,1)}
      15:{1,3,5}:{(9,1),(11,1),(22,1),(23,1),(25,1)}
      16:{2,3,5}:{(10,1),(12,1),(24,1),(25,1),(39,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(13,1),(23,1),(24,1),(25,1),(29,1),(37,1),(38,1),(39,1)}
      18:{1,2,6}:{(11,1),(23,1),(26,1)}
      19:{1,2,4,6}:{(12,1),(24,1),(27,1),(38,1)}
      20:{3,6}:{(13,1),(25,1)}
      21:{1,4,6}:{(14,1),(28,1),(29,1),(38,1)}
      22:{1,3,4}:{(15,1),(30,1),(33,1)}
      23:{1,2,5}:{(15,1),(18,1),(30,1),(31,1)}
      24:{1,2,5}:{(16,1),(19,1),(32,1)}
      25:{3,5}:{(17,1),(20,1),(33,1)}
      26:{2,3,6}:{(18,1),(20,1),(31,1),(34,1)}
      27:{1,3,6}:{(19,1),(20,1),(32,1)}
      28:{3,4,6}:{(20,1),(21,1),(33,1),(34,1),(35,1)}
      29:{1,4,5}:{(21,1),(35,1)}
      30:{1,2,4}:{(22,1),(23,1),(36,1),(37,1)}
      31:{2,3,5}:{(23,1),(25,1),(26,1),(36,1),(37,1),(39,1)}
      32:{1,3,5}:{(24,1),(25,1),(27,1),(38,1)}
      33:{3,4}:{(25,1),(37,1),(38,1)}
      34:{2,4,6}:{(26,1),(28,1),(37,1),(39,1)}
      35:{3,5}:{(28,1),(29,1),(39,1)}
      36:{2,3}:{(30,1)}
      37:{2,4}:{(31,1),(33,1)}
      38:{1,4}:{(32,1),(33,1)}
      39:{2,5}:{(34,1),(35,1)}

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

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

139 :  0:{1,2,4,5}:{(1,1),(2,1),(8,1),(9,1),(11,1),(23,1),(24,1),(25,1)}
       1:{3,5}:{(0,1),(3,1),(6,1)}
       2:{1,2,4,6}:{(0,1),(6,1),(7,1),(16,1),(17,1),(19,1),(20,1)}
       3:{3,4}:{(1,1),(8,1),(9,1),(21,1)}
       4:{1,3,5}:{(1,1),(8,1),(11,1),(12,1),(21,1),(23,1),(28,1)}
       5:{2,3,5}:{(1,1),(9,1),(11,1),(13,1),(21,1),(24,1),(28,1)}
       6:{3,6}:{(1,1),(2,1)}
       7:{1,2,5,6}:{(2,1),(14,1),(23,1),(24,1)}
       8:{1,4}:{(3,1),(4,1),(29,1)}
       9:{2,4}:{(3,1),(5,1),(29,1)}
      10:{3,4,6}:{(3,1),(6,1),(16,1),(17,1),(18,1),(20,1),(26,1),(29,1)}
      11:{1,2,5}:{(4,1),(5,1),(15,1),(19,1)}
      12:{1,3,6}:{(4,1),(6,1),(16,1),(19,1),(26,1)}
      13:{2,3,6}:{(5,1),(6,1),(17,1),(19,1),(26,1)}
      14:{3,5,6}:{(6,1),(7,1),(18,1),(20,1)}
      15:{1,2,4}:{(8,1),(9,1),(11,1),(21,1)}
      16:{1,4,6}:{(8,1),(10,1),(12,1),(23,1)}
      17:{2,4,6}:{(9,1),(10,1),(13,1),(24,1)}
      18:{3,5}:{(10,1),(23,1),(24,1),(25,1)}
      19:{1,2,6}:{(11,1),(12,1),(13,1)}
      20:{4,6}:{(14,1),(25,1)}
      21:{3}:{(15,1)}
      22:{1,2,4,6}:{(15,1),(16,1),(17,1),(19,1),(26,1),(27,1),(29,1)}
      23:{1,5}:{(16,1),(18,1)}
      24:{2,5}:{(17,1),(18,1)}
      25:{4,5}:{(18,1),(20,1),(29,1)}
      26:{3,6}:{(21,1),(22,1),(28,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

140 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(20,1),(44,1)}
       1:{4,5,6}:{(7,1),(40,1)}
       2:{3,4,6}:{(0,1),(7,1),(8,1),(9,1),(28,1),(40,1)}
       3:{1,4,5}:{(0,1),(5,1),(8,1)}
       4:{2,4,5}:{(0,1),(6,1),(9,1)}
       5:{1,3,5}:{(3,1),(11,1),(13,1),(14,1),(20,1)}
       6:{2,3,5}:{(4,1),(12,1),(15,1),(16,1),(20,1)}
       7:{3,5,6}:{(1,1),(2,1),(17,1),(18,1)}
       8:{1,4,6}:{(2,1),(3,1),(13,1),(17,1)}
       9:{2,4,6}:{(2,1),(4,1),(15,1),(18,1)}
      10:{1,2,4,5}:{(3,1),(4,1),(14,1),(16,1),(19,1),(20,1),(33,1),(35,1),(42,1),(43,1),(44,1)}
      11:{1,3,4}:{(5,1),(21,1),(29,1)}
      12:{2,3,4}:{(6,1),(22,1),(29,1)}
      13:{1,3,6}:{(5,1),(8,1),(23,1),(28,1)}
      14:{1,2,5}:{(5,1),(21,1),(23,1),(24,1)}
      15:{2,3,6}:{(6,1),(9,1),(25,1),(28,1)}
      16:{1,2,5}:{(6,1),(22,1),(25,1),(26,1)}
      17:{1,5,6}:{(7,1),(8,1)}
      18:{2,5,6}:{(7,1),(9,1)}
      19:{1,2,4,6}:{(8,1),(9,1),(10,1),(23,1),(25,1),(27,1),(28,1),(38,1),(39,1),(40,1)}
      20:{3,5}:{(10,1),(28,1),(29,1)}
      21:{1,2,4}:{(11,1),(14,1),(30,1),(33,1)}
      22:{1,2,4}:{(12,1),(16,1),(31,1),(35,1)}
      23:{1,2,6}:{(13,1),(14,1),(32,1)}
      24:{2,3,5}:{(14,1),(20,1),(30,1),(32,1),(33,1),(42,1)}
      25:{1,2,6}:{(15,1),(16,1),(34,1)}
      26:{1,3,5}:{(16,1),(20,1),(31,1),(34,1),(35,1),(43,1)}
      27:{1,2,5,6}:{(17,1),(18,1),(19,1),(36,1),(42,1),(43,1)}
      28:{3,6}:{(19,1),(20,1)}
      29:{3,4}:{(20,1),(33,1),(35,1)}
      30:{2,3}:{(21,1)}
      31:{1,3}:{(22,1)}
      32:{2,3,6}:{(23,1),(24,1),(28,1),(38,1)}
      33:{2,4}:{(24,1),(29,1)}
      34:{1,3,6}:{(25,1),(26,1),(28,1),(39,1)}
      35:{1,4}:{(26,1),(29,1)}
      36:{3,5,6}:{(27,1),(28,1),(40,1),(41,1)}
      37:{3,4,6}:{(28,1),(29,1),(38,1),(39,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(33,1),(37,1),(42,1)}
      39:{1,4,6}:{(34,1),(35,1),(37,1),(43,1)}
      40:{4,6}:{(36,1),(44,1)}
      41:{3,5}:{(37,1),(42,1),(43,1),(44,1)}
      42:{2,5}:{(38,1),(41,1)}
      43:{1,5}:{(39,1),(41,1)}
      44:{4,5}:{(40,1),(41,1)}

141 :  0:{4,5,6}:{(1,1),(28,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1),(5,1)}
       2:{3,4,5}:{(3,1),(6,1),(7,1),(22,1),(37,1)}
       3:{3,4,6}:{(1,1),(2,1),(8,1),(9,1),(27,1),(28,1)}
       4:{1,5,6}:{(1,1),(8,1)}
       5:{2,5,6}:{(1,1),(9,1)}
       6:{1,4,5}:{(2,1),(8,1),(11,1)}
       7:{2,4,5}:{(2,1),(9,1),(12,1)}
       8:{1,4,6}:{(3,1),(4,1),(6,1),(16,1)}
       9:{2,4,6}:{(3,1),(5,1),(7,1),(17,1)}
      10:{1,2,5,6}:{(4,1),(5,1),(18,1),(19,1),(43,1),(44,1)}
      11:{1,3,5}:{(6,1),(14,1),(16,1),(20,1),(22,1)}
      12:{2,3,5}:{(7,1),(15,1),(17,1),(21,1),(22,1)}
      13:{1,2,4,5}:{(6,1),(7,1),(18,1),(20,1),(21,1),(22,1),(37,1),(38,1),(39,1),(43,1),(44,1)}
      14:{1,3,4}:{(11,1),(23,1),(31,1)}
      15:{2,3,4}:{(12,1),(24,1),(31,1)}
      16:{1,3,6}:{(8,1),(11,1),(25,1),(27,1)}
      17:{2,3,6}:{(9,1),(12,1),(26,1),(27,1)}
      18:{1,2,4,6}:{(8,1),(9,1),(10,1),(13,1),(25,1),(26,1),(27,1),(28,1),(40,1),(41,1)}
      19:{3,5,6}:{(10,1),(27,1),(28,1),(42,1)}
      20:{1,2,5}:{(11,1),(23,1),(25,1),(29,1)}
      21:{1,2,5}:{(12,1),(24,1),(26,1),(30,1)}
      22:{3,5}:{(13,1),(27,1),(31,1)}
      23:{1,2,4}:{(14,1),(20,1),(32,1),(38,1)}
      24:{1,2,4}:{(15,1),(21,1),(33,1),(39,1)}
      25:{1,2,6}:{(16,1),(20,1),(34,1)}
      26:{1,2,6}:{(17,1),(21,1),(35,1)}
      27:{3,6}:{(18,1),(22,1)}
      28:{4,6}:{(19,1),(37,1)}
      29:{2,3,5}:{(20,1),(22,1),(32,1),(34,1),(38,1),(43,1)}
      30:{1,3,5}:{(21,1),(22,1),(33,1),(35,1),(39,1),(44,1)}
      31:{3,4}:{(22,1),(38,1),(39,1)}
      32:{2,3}:{(23,1)}
      33:{1,3}:{(24,1)}
      34:{2,3,6}:{(25,1),(27,1),(29,1),(40,1)}
      35:{1,3,6}:{(26,1),(27,1),(30,1),(41,1)}
      36:{3,4,6}:{(27,1),(28,1),(31,1),(40,1),(41,1),(42,1)}
      37:{4,5}:{(28,1),(42,1)}
      38:{2,4}:{(29,1),(31,1)}
      39:{1,4}:{(30,1),(31,1)}
      40:{2,4,6}:{(34,1),(36,1),(38,1),(43,1)}
      41:{1,4,6}:{(35,1),(36,1),(39,1),(44,1)}
      42:{3,5}:{(36,1),(37,1),(43,1),(44,1)}
      43:{2,5}:{(40,1),(42,1)}
      44:{1,5}:{(41,1),(42,1)}

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

143 :  0:{1,2,5,6}:{(1,1),(2,1),(18,1),(19,1)}
       1:{3,5,6}:{(0,1),(3,1),(5,1),(11,1)}
       2:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(12,1),(13,1),(17,1)}
       3:{4,6}:{(1,1),(6,1)}
       4:{1,2,4,5}:{(2,1),(6,1),(8,1),(18,1),(19,1),(21,1),(22,1),(23,1)}
       5:{3,6}:{(2,1),(8,1)}
       6:{4,5}:{(3,1),(11,1),(29,1)}
       7:{3,4,6}:{(3,1),(5,1),(11,1),(12,1),(13,1),(14,1),(25,1),(29,1)}
       8:{3,5}:{(4,1),(5,1),(14,1)}
       9:{1,3,6}:{(5,1),(12,1),(15,1),(17,1),(25,1)}
      10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1),(25,1)}
      11:{3,5}:{(6,1),(7,1),(18,1),(19,1)}
      12:{1,4,6}:{(7,1),(9,1),(18,1),(21,1)}
      13:{2,4,6}:{(7,1),(10,1),(19,1),(22,1)}
      14:{3,4}:{(8,1),(21,1),(22,1),(28,1)}
      15:{1,3,5}:{(8,1),(9,1),(18,1),(21,1),(23,1),(27,1),(28,1)}
      16:{2,3,5}:{(8,1),(10,1),(19,1),(22,1),(23,1),(27,1),(28,1)}
      17:{1,2,6}:{(9,1),(10,1),(23,1)}
      18:{1,5}:{(11,1),(12,1)}
      19:{2,5}:{(11,1),(13,1)}
      20:{1,2,4,6}:{(12,1),(13,1),(17,1),(24,1),(25,1),(26,1),(29,1)}
      21:{1,4}:{(14,1),(15,1),(29,1)}
      22:{2,4}:{(14,1),(16,1),(29,1)}
      23:{1,2,5}:{(15,1),(16,1),(17,1),(26,1)}
      24:{1,2,5}:{(18,1),(19,1),(20,1),(27,1)}
      25:{3,6}:{(20,1),(27,1),(28,1)}
      26:{1,2,4}:{(21,1),(22,1),(23,1),(28,1)}
      27:{3,5}:{(24,1),(25,1),(29,1)}
      28:{3}:{(26,1)}
      29:{4}:{(27,1)}

144 :  0:{1,2,4,5}:{(1,1),(2,1),(8,1),(9,1),(11,1),(23,1),(24,1),(25,1)}
       1:{3,5}:{(0,1),(3,1),(6,1)}
       2:{1,2,4,6}:{(0,1),(6,1),(7,1),(16,1),(17,1),(19,1),(20,1)}
       3:{3,4}:{(1,1),(8,1),(9,1),(21,1)}
       4:{1,3,5}:{(1,1),(8,1),(11,1),(12,1),(21,1),(23,1),(28,1)}
       5:{2,3,5}:{(1,1),(9,1),(11,1),(13,1),(21,1),(24,1),(28,1)}
       6:{3,6}:{(1,1),(2,1)}
       7:{1,2,5,6}:{(2,1),(14,1),(23,1),(24,1)}
       8:{1,4}:{(3,1),(4,1),(29,1)}
       9:{2,4}:{(3,1),(5,1),(29,1)}
      10:{3,4,6}:{(3,1),(6,1),(16,1),(17,1),(18,1),(20,1),(26,1),(29,1)}
      11:{1,2,5}:{(4,1),(5,1),(15,1),(19,1)}
      12:{1,3,6}:{(4,1),(6,1),(16,1),(19,1),(26,1)}
      13:{2,3,6}:{(5,1),(6,1),(17,1),(19,1),(26,1)}
      14:{3,5,6}:{(6,1),(7,1),(18,1),(20,1)}
      15:{1,2,4}:{(8,1),(9,1),(11,1),(21,1)}
      16:{1,4,6}:{(8,1),(10,1),(12,1),(23,1)}
      17:{2,4,6}:{(9,1),(10,1),(13,1),(24,1)}
      18:{3,5}:{(10,1),(23,1),(24,1),(25,1)}
      19:{1,2,6}:{(11,1),(12,1),(13,1)}
      20:{4,6}:{(14,1),(25,1)}
      21:{3}:{(15,1)}
      22:{1,2,4,6}:{(15,1),(16,1),(17,1),(19,1),(26,1),(27,1),(29,1)}
      23:{1,5}:{(16,1),(18,1)}
      24:{2,5}:{(17,1),(18,1)}
      25:{4,5}:{(18,1),(20,1),(29,1)}
      26:{3,6}:{(21,1),(22,1),(28,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

145 :  0:{1,3,4,6}:{(1,1),(2,1),(10,1),(20,1),(21,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(13,1)}
       2:{1,3,5}:{(0,1),(4,1),(6,1),(15,1),(38,1)}
       3:{2,3,6}:{(1,1),(7,1),(21,1)}
       4:{1,2,5}:{(1,1),(2,1),(7,1)}
       5:{1,3,5,6}:{(2,1),(8,1),(10,1),(21,1),(24,1)}
       6:{1,4,5}:{(2,1),(10,1),(11,1)}
       7:{2,3,5}:{(3,1),(4,1),(13,1),(15,1)}
       8:{1,2,5,6}:{(4,1),(5,1),(12,1),(14,1),(33,1),(38,1)}
       9:{1,2,4,5}:{(4,1),(6,1),(13,1),(14,1),(15,1),(18,1),(26,1),(28,1),(32,1),(38,1)}
      10:{1,4,6}:{(5,1),(6,1),(17,1)}
      11:{3,4,5}:{(6,1),(15,1),(17,1),(18,1)}
      12:{2,3,5,6}:{(7,1),(8,1),(19,1),(21,1),(34,1)}
      13:{2,4}:{(7,1),(20,1)}
      14:{1,2,4,6}:{(8,1),(9,1),(10,1),(19,1),(21,1),(25,1),(35,1),(37,1)}
      15:{3,5}:{(9,1),(20,1),(21,1)}
      16:{1,4,5,6}:{(10,1),(24,1)}
      17:{3,4,6}:{(10,1),(11,1),(21,1),(24,1),(25,1)}
      18:{2,4,5}:{(11,1),(23,1),(25,1)}
      19:{2,4,6}:{(12,1),(13,1),(26,1),(27,1)}
      20:{3,4}:{(13,1),(15,1),(28,1)}
      21:{3,6}:{(14,1),(15,1)}
      22:{1,3,5}:{(15,1),(28,1),(30,1),(32,1),(38,1),(39,1)}
      23:{2,3,5}:{(15,1),(18,1),(29,1),(31,1),(32,1)}
      24:{3,5,6}:{(16,1),(17,1),(33,1)}
      25:{2,4,6}:{(17,1),(18,1),(31,1),(33,1)}
      26:{2,4,5}:{(19,1),(34,1)}
      27:{3,4,6}:{(19,1),(20,1),(21,1),(34,1),(35,1)}
      28:{1,4}:{(20,1),(22,1)}
      29:{2,3,4}:{(20,1),(23,1),(36,1)}
      30:{1,3,6}:{(21,1),(22,1),(35,1),(37,1)}
      31:{2,3,6}:{(21,1),(23,1),(25,1),(37,1)}
      32:{1,2,5}:{(22,1),(23,1),(36,1),(37,1)}
      33:{2,5,6}:{(24,1),(25,1)}
      34:{3,5}:{(26,1),(27,1),(38,1)}
      35:{1,4,6}:{(27,1),(28,1),(30,1),(38,1)}
      36:{1,2,4}:{(28,1),(29,1),(32,1),(39,1)}
      37:{1,2,6}:{(30,1),(31,1),(32,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(36,1)}

146 :  0:{1,3,4}:{(2,1),(3,1),(30,1)}
       1:{3,4,5}:{(4,1),(5,1),(6,1),(20,1),(44,1)}
       2:{1,3,5}:{(0,1),(4,1),(7,1),(8,1),(20,1)}
       3:{1,2,4}:{(0,1),(7,1),(9,1),(25,1)}
       4:{1,4,5}:{(1,1),(2,1),(12,1)}
       5:{2,4,5}:{(1,1),(10,1),(13,1)}
       6:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(31,1),(42,1)}
       7:{1,2,5}:{(2,1),(3,1),(15,1),(16,1)}
       8:{1,3,6}:{(2,1),(12,1),(16,1),(31,1)}
       9:{2,3}:{(3,1)}
      10:{2,3,5}:{(5,1),(17,1),(18,1),(19,1),(20,1)}
      11:{1,2,4,5}:{(4,1),(5,1),(7,1),(18,1),(20,1),(21,1),(25,1),(35,1),(39,1),(43,1),(44,1)}
      12:{1,4,6}:{(4,1),(6,1),(8,1),(22,1)}
      13:{2,4,6}:{(5,1),(6,1),(19,1),(23,1)}
      14:{3,5,6}:{(6,1),(22,1),(23,1),(24,1)}
      15:{2,3,5}:{(7,1),(9,1),(20,1),(25,1),(26,1),(39,1)}
      16:{1,2,6}:{(7,1),(8,1),(26,1)}
      17:{2,3,4}:{(10,1),(27,1),(30,1)}
      18:{1,2,5}:{(10,1),(27,1),(28,1),(29,1)}
      19:{2,3,6}:{(10,1),(13,1),(29,1),(31,1)}
      20:{3,5}:{(11,1),(30,1),(31,1)}
      21:{1,2,4,6}:{(11,1),(12,1),(13,1),(16,1),(29,1),(31,1),(32,1),(33,1),(40,1),(42,1)}
      22:{1,5,6}:{(12,1),(14,1)}
      23:{2,5,6}:{(13,1),(14,1)}
      24:{4,5,6}:{(14,1),(42,1)}
      25:{2,4}:{(15,1),(30,1)}
      26:{2,3,6}:{(15,1),(16,1),(31,1),(33,1)}
      27:{1,2,4}:{(17,1),(18,1),(34,1),(35,1)}
      28:{1,3,5}:{(18,1),(20,1),(34,1),(35,1),(36,1),(43,1)}
      29:{1,2,6}:{(18,1),(19,1),(36,1)}
      30:{3,4}:{(20,1),(25,1),(35,1)}
      31:{3,6}:{(20,1),(21,1)}
      32:{1,2,5,6}:{(21,1),(22,1),(23,1),(38,1),(39,1),(43,1)}
      33:{2,4,6}:{(25,1),(26,1),(37,1),(39,1)}
      34:{1,3}:{(27,1)}
      35:{1,4}:{(28,1),(30,1)}
      36:{1,3,6}:{(28,1),(29,1),(31,1),(40,1)}
      37:{3,4,6}:{(30,1),(31,1),(33,1),(40,1),(41,1),(42,1)}
      38:{3,5,6}:{(31,1),(32,1),(41,1),(42,1)}
      39:{2,5}:{(33,1),(41,1)}
      40:{1,4,6}:{(35,1),(36,1),(37,1),(43,1)}
      41:{3,5}:{(37,1),(39,1),(43,1),(44,1)}
      42:{4,6}:{(38,1),(44,1)}
      43:{1,5}:{(40,1),(41,1)}
      44:{4,5}:{(41,1),(42,1)}

147 :  0:{2,3,4,6}:{(1,1),(2,1),(10,1),(20,1),(21,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(13,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(15,1),(38,1)}
       3:{1,3,6}:{(1,1),(7,1),(21,1)}
       4:{1,2,5}:{(1,1),(2,1),(7,1)}
       5:{2,3,5,6}:{(2,1),(8,1),(10,1),(21,1),(24,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,3,5}:{(3,1),(4,1),(13,1),(15,1)}
       8:{1,2,5,6}:{(4,1),(5,1),(12,1),(14,1),(33,1),(38,1)}
       9:{1,2,4,5}:{(4,1),(6,1),(13,1),(14,1),(15,1),(18,1),(26,1),(29,1),(32,1),(38,1)}
      10:{2,4,6}:{(5,1),(6,1),(17,1)}
      11:{3,4,5}:{(6,1),(15,1),(17,1),(18,1)}
      12:{1,3,5,6}:{(7,1),(8,1),(19,1),(21,1),(34,1)}
      13:{1,4}:{(7,1),(20,1)}
      14:{1,2,4,6}:{(8,1),(9,1),(10,1),(19,1),(21,1),(25,1),(35,1),(37,1)}
      15:{3,5}:{(9,1),(20,1),(21,1)}
      16:{2,4,5,6}:{(10,1),(24,1)}
      17:{3,4,6}:{(10,1),(11,1),(21,1),(24,1),(25,1)}
      18:{1,4,5}:{(11,1),(22,1),(25,1)}
      19:{1,4,6}:{(12,1),(13,1),(26,1),(27,1)}
      20:{3,4}:{(13,1),(15,1),(29,1)}
      21:{3,6}:{(14,1),(15,1)}
      22:{1,3,5}:{(15,1),(18,1),(28,1),(30,1),(32,1)}
      23:{2,3,5}:{(15,1),(29,1),(31,1),(32,1),(38,1),(39,1)}
      24:{3,5,6}:{(16,1),(17,1),(33,1)}
      25:{1,4,6}:{(17,1),(18,1),(30,1),(33,1)}
      26:{1,4,5}:{(19,1),(34,1)}
      27:{3,4,6}:{(19,1),(20,1),(21,1),(34,1),(35,1)}
      28:{1,3,4}:{(20,1),(22,1),(36,1)}
      29:{2,4}:{(20,1),(23,1)}
      30:{1,3,6}:{(21,1),(22,1),(25,1),(37,1)}
      31:{2,3,6}:{(21,1),(23,1),(35,1),(37,1)}
      32:{1,2,5}:{(22,1),(23,1),(36,1),(37,1)}
      33:{1,5,6}:{(24,1),(25,1)}
      34:{3,5}:{(26,1),(27,1),(38,1)}
      35:{2,4,6}:{(27,1),(29,1),(31,1),(38,1)}
      36:{1,2,4}:{(28,1),(29,1),(32,1),(39,1)}
      37:{1,2,6}:{(30,1),(31,1),(32,1)}
      38:{2,5}:{(34,1),(35,1)}
      39:{2,3}:{(36,1)}

148 :  0:{2,3,4}:{(2,1),(3,1),(30,1)}
       1:{3,4,5}:{(4,1),(5,1),(6,1),(20,1),(44,1)}
       2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1),(20,1)}
       3:{1,2,4}:{(0,1),(7,1),(9,1),(25,1)}
       4:{1,4,5}:{(1,1),(10,1),(12,1)}
       5:{2,4,5}:{(1,1),(2,1),(13,1)}
       6:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(31,1),(42,1)}
       7:{1,2,5}:{(2,1),(3,1),(15,1),(16,1)}
       8:{2,3,6}:{(2,1),(13,1),(16,1),(31,1)}
       9:{1,3}:{(3,1)}
      10:{1,3,5}:{(4,1),(17,1),(18,1),(19,1),(20,1)}
      11:{1,2,4,5}:{(4,1),(5,1),(7,1),(18,1),(20,1),(21,1),(25,1),(35,1),(39,1),(43,1),(44,1)}
      12:{1,4,6}:{(4,1),(6,1),(19,1),(22,1)}
      13:{2,4,6}:{(5,1),(6,1),(8,1),(23,1)}
      14:{3,5,6}:{(6,1),(22,1),(23,1),(24,1)}
      15:{1,3,5}:{(7,1),(9,1),(20,1),(25,1),(26,1),(39,1)}
      16:{1,2,6}:{(7,1),(8,1),(26,1)}
      17:{1,3,4}:{(10,1),(27,1),(30,1)}
      18:{1,2,5}:{(10,1),(27,1),(28,1),(29,1)}
      19:{1,3,6}:{(10,1),(12,1),(29,1),(31,1)}
      20:{3,5}:{(11,1),(30,1),(31,1)}
      21:{1,2,4,6}:{(11,1),(12,1),(13,1),(16,1),(29,1),(31,1),(32,1),(33,1),(40,1),(42,1)}
      22:{1,5,6}:{(12,1),(14,1)}
      23:{2,5,6}:{(13,1),(14,1)}
      24:{4,5,6}:{(14,1),(42,1)}
      25:{1,4}:{(15,1),(30,1)}
      26:{1,3,6}:{(15,1),(16,1),(31,1),(33,1)}
      27:{1,2,4}:{(17,1),(18,1),(34,1),(35,1)}
      28:{2,3,5}:{(18,1),(20,1),(34,1),(35,1),(36,1),(43,1)}
      29:{1,2,6}:{(18,1),(19,1),(36,1)}
      30:{3,4}:{(20,1),(25,1),(35,1)}
      31:{3,6}:{(20,1),(21,1)}
      32:{1,2,5,6}:{(21,1),(22,1),(23,1),(38,1),(39,1),(43,1)}
      33:{1,4,6}:{(25,1),(26,1),(37,1),(39,1)}
      34:{2,3}:{(27,1)}
      35:{2,4}:{(28,1),(30,1)}
      36:{2,3,6}:{(28,1),(29,1),(31,1),(40,1)}
      37:{3,4,6}:{(30,1),(31,1),(33,1),(40,1),(41,1),(42,1)}
      38:{3,5,6}:{(31,1),(32,1),(41,1),(42,1)}
      39:{1,5}:{(33,1),(41,1)}
      40:{2,4,6}:{(35,1),(36,1),(37,1),(43,1)}
      41:{3,5}:{(37,1),(39,1),(43,1),(44,1)}
      42:{4,6}:{(38,1),(44,1)}
      43:{2,5}:{(40,1),(41,1)}
      44:{4,5}:{(41,1),(42,1)}

149 :  0:{3,4,5}:{(1,1),(2,1),(3,1),(18,1),(44,1)}
       1:{1,4,5}:{(0,1),(6,1),(9,1)}
       2:{2,4,5}:{(0,1),(7,1),(10,1)}
       3:{3,4,6}:{(0,1),(9,1),(10,1),(11,1),(30,1),(41,1)}
       4:{1,3,4}:{(6,1),(12,1),(29,1)}
       5:{2,3,4}:{(7,1),(13,1),(29,1)}
       6:{1,3,5}:{(1,1),(4,1),(14,1),(15,1),(18,1)}
       7:{2,3,5}:{(2,1),(5,1),(16,1),(17,1),(18,1)}
       8:{1,2,4,5}:{(1,1),(2,1),(14,1),(16,1),(18,1),(19,1),(32,1),(34,1),(42,1),(43,1),(44,1)}
       9:{1,4,6}:{(1,1),(3,1),(15,1),(20,1)}
      10:{2,4,6}:{(2,1),(3,1),(17,1),(21,1)}
      11:{3,5,6}:{(3,1),(20,1),(21,1),(22,1)}
      12:{1,2,4}:{(4,1),(14,1),(23,1),(32,1)}
      13:{1,2,4}:{(5,1),(16,1),(24,1),(34,1)}
      14:{1,2,5}:{(6,1),(12,1),(25,1),(26,1)}
      15:{1,3,6}:{(6,1),(9,1),(26,1),(30,1)}
      16:{1,2,5}:{(7,1),(13,1),(27,1),(28,1)}
      17:{2,3,6}:{(7,1),(10,1),(28,1),(30,1)}
      18:{3,5}:{(8,1),(29,1),(30,1)}
      19:{1,2,4,6}:{(8,1),(9,1),(10,1),(26,1),(28,1),(30,1),(31,1),(38,1),(39,1),(41,1)}
      20:{1,5,6}:{(9,1),(11,1)}
      21:{2,5,6}:{(10,1),(11,1)}
      22:{4,5,6}:{(11,1),(41,1)}
      23:{2,3}:{(12,1)}
      24:{1,3}:{(13,1)}
      25:{2,3,5}:{(14,1),(18,1),(23,1),(32,1),(33,1),(42,1)}
      26:{1,2,6}:{(14,1),(15,1),(33,1)}
      27:{1,3,5}:{(16,1),(18,1),(24,1),(34,1),(35,1),(43,1)}
      28:{1,2,6}:{(16,1),(17,1),(35,1)}
      29:{3,4}:{(18,1),(32,1),(34,1)}
      30:{3,6}:{(18,1),(19,1)}
      31:{1,2,5,6}:{(19,1),(20,1),(21,1),(37,1),(42,1),(43,1)}
      32:{2,4}:{(25,1),(29,1)}
      33:{2,3,6}:{(25,1),(26,1),(30,1),(38,1)}
      34:{1,4}:{(27,1),(29,1)}
      35:{1,3,6}:{(27,1),(28,1),(30,1),(39,1)}
      36:{3,4,6}:{(29,1),(30,1),(38,1),(39,1),(40,1),(41,1)}
      37:{3,5,6}:{(30,1),(31,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(33,1),(36,1),(42,1)}
      39:{1,4,6}:{(34,1),(35,1),(36,1),(43,1)}
      40:{3,5}:{(36,1),(42,1),(43,1),(44,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{2,5}:{(38,1),(40,1)}
      43:{1,5}:{(39,1),(40,1)}
      44:{4,5}:{(40,1),(41,1)}

150 :  0:{1,2,3,5}:{(1,1),(2,1),(6,1),(11,1),(22,1),(26,1)}
       1:{1,2,4}:{(0,1),(4,1)}
       2:{1,2,3,6}:{(0,1),(5,1),(15,1),(33,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1),(11,1),(19,1),(20,1),(22,1),(27,1)}
       4:{3,4}:{(1,1),(6,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       6:{3,5}:{(3,1),(4,1),(15,1)}
       7:{1,2,4,6}:{(3,1),(15,1),(16,1),(29,1),(30,1),(33,1),(34,1)}
       8:{1,3,4}:{(4,1),(13,1),(17,1),(42,1)}
       9:{2,3,4}:{(4,1),(14,1),(17,1),(42,1)}
      10:{3,4,6}:{(4,1),(5,1),(15,1),(18,1),(34,1)}
      11:{1,2,5}:{(5,1),(18,1)}
      12:{3,4,5}:{(6,1),(19,1),(20,1),(21,1),(27,1),(35,1),(51,1)}
      13:{1,3,5}:{(6,1),(8,1),(19,1),(22,1),(23,1),(35,1)}
      14:{2,3,5}:{(6,1),(9,1),(20,1),(22,1),(24,1),(35,1)}
      15:{3,6}:{(6,1),(7,1)}
      16:{1,2,5,6}:{(7,1),(11,1),(25,1),(37,1),(38,1)}
      17:{1,2,4}:{(8,1),(9,1),(22,1),(26,1)}
      18:{3,5}:{(10,1),(11,1),(27,1)}
      19:{1,4,5}:{(12,1),(13,1),(29,1)}
      20:{2,4,5}:{(12,1),(14,1),(30,1)}
      21:{3,4,6}:{(12,1),(15,1),(29,1),(30,1),(31,1),(34,1),(43,1),(50,1)}
      22:{1,2,5}:{(13,1),(14,1),(17,1),(33,1)}
      23:{1,3,6}:{(13,1),(15,1),(29,1),(33,1),(43,1)}
      24:{2,3,6}:{(14,1),(15,1),(30,1),(33,1),(43,1)}
      25:{3,5,6}:{(15,1),(16,1),(18,1),(34,1)}
      26:{1,2,3}:{(17,1)}
      27:{4,5}:{(18,1),(34,1)}
      28:{1,2,4,5}:{(19,1),(20,1),(22,1),(35,1),(36,1),(40,1),(48,1),(51,1)}
      29:{1,4,6}:{(19,1),(21,1),(23,1),(37,1)}
      30:{2,4,6}:{(20,1),(21,1),(24,1),(38,1)}
      31:{3,5,6}:{(21,1),(37,1),(38,1),(39,1)}
      32:{1,2,3,5}:{(22,1),(26,1),(35,1),(40,1),(41,1),(48,1)}
      33:{1,2,6}:{(22,1),(23,1),(24,1)}
      34:{4,6}:{(25,1),(27,1)}
      35:{3,5}:{(28,1),(42,1),(43,1)}
      36:{1,2,4,6}:{(28,1),(29,1),(30,1),(33,1),(43,1),(44,1),(50,1)}
      37:{1,5,6}:{(29,1),(31,1)}
      38:{2,5,6}:{(30,1),(31,1)}
      39:{4,5,6}:{(31,1),(34,1),(50,1)}
      40:{1,2,4}:{(32,1),(42,1)}
      41:{1,2,3,6}:{(32,1),(33,1),(43,1),(45,1)}
      42:{3,4}:{(35,1),(40,1)}
      43:{3,6}:{(35,1),(36,1)}
      44:{1,2,5,6}:{(36,1),(37,1),(38,1),(47,1),(48,1)}
      45:{1,2,4,6}:{(40,1),(41,1),(46,1),(48,1)}
      46:{3,4,6}:{(42,1),(43,1),(45,1),(49,1),(50,1)}
      47:{3,5,6}:{(43,1),(44,1),(49,1),(50,1)}
      48:{1,2,5}:{(45,1),(49,1)}
      49:{3,5}:{(46,1),(48,1),(51,1)}
      50:{4,6}:{(47,1),(51,1)}
      51:{4,5}:{(49,1),(50,1)}

151 :  0:{1,2,3,6}:{(1,1),(2,1),(18,1),(34,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1)}
       2:{1,2,3,5}:{(0,1),(4,1),(5,1),(13,1),(28,1),(29,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(16,1),(18,1)}
       4:{1,2,5}:{(1,1),(6,1)}
       5:{1,2,4}:{(2,1),(9,1)}
       6:{3,5}:{(3,1),(4,1),(11,1)}
       7:{1,2,5,6}:{(4,1),(10,1),(12,1),(36,1),(37,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(11,1),(12,1),(13,1),(24,1),(25,1),(28,1)}
       9:{3,4}:{(5,1),(13,1)}
      10:{3,5,6}:{(6,1),(7,1),(16,1),(18,1)}
      11:{4,5}:{(6,1),(16,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(16,1),(18,1),(31,1),(32,1),(34,1)}
      13:{3,5}:{(8,1),(9,1),(18,1)}
      14:{1,3,4}:{(9,1),(19,1),(21,1),(44,1)}
      15:{2,3,4}:{(9,1),(20,1),(21,1),(44,1)}
      16:{4,6}:{(10,1),(11,1)}
      17:{3,4,5}:{(11,1),(13,1),(23,1),(24,1),(25,1),(39,1),(51,1)}
      18:{3,6}:{(12,1),(13,1)}
      19:{1,3,5}:{(13,1),(14,1),(24,1),(26,1),(28,1),(39,1)}
      20:{2,3,5}:{(13,1),(15,1),(25,1),(27,1),(28,1),(39,1)}
      21:{1,2,4}:{(14,1),(15,1),(28,1),(29,1)}
      22:{4,5,6}:{(16,1),(30,1),(49,1)}
      23:{3,4,6}:{(16,1),(17,1),(18,1),(30,1),(31,1),(32,1),(43,1),(49,1)}
      24:{1,4,5}:{(17,1),(19,1),(31,1)}
      25:{2,4,5}:{(17,1),(20,1),(32,1)}
      26:{1,3,6}:{(18,1),(19,1),(31,1),(34,1),(43,1)}
      27:{2,3,6}:{(18,1),(20,1),(32,1),(34,1),(43,1)}
      28:{1,2,5}:{(19,1),(20,1),(21,1),(34,1)}
      29:{1,2,3}:{(21,1)}
      30:{3,5,6}:{(22,1),(23,1),(36,1),(37,1)}
      31:{1,4,6}:{(23,1),(24,1),(26,1),(36,1)}
      32:{2,4,6}:{(23,1),(25,1),(27,1),(37,1)}
      33:{1,2,4,5}:{(24,1),(25,1),(28,1),(38,1),(39,1),(41,1),(48,1),(51,1)}
      34:{1,2,6}:{(26,1),(27,1),(28,1)}
      35:{1,2,3,5}:{(28,1),(29,1),(39,1),(40,1),(41,1),(48,1)}
      36:{1,5,6}:{(30,1),(31,1)}
      37:{2,5,6}:{(30,1),(32,1)}
      38:{1,2,4,6}:{(31,1),(32,1),(33,1),(34,1),(42,1),(43,1),(49,1)}
      39:{3,5}:{(33,1),(43,1),(44,1)}
      40:{1,2,3,6}:{(34,1),(35,1),(43,1),(45,1)}
      41:{1,2,4}:{(35,1),(44,1)}
      42:{1,2,5,6}:{(36,1),(37,1),(38,1),(46,1),(48,1)}
      43:{3,6}:{(38,1),(39,1)}
      44:{3,4}:{(39,1),(41,1)}
      45:{1,2,4,6}:{(40,1),(41,1),(47,1),(48,1)}
      46:{3,5,6}:{(42,1),(43,1),(49,1),(50,1)}
      47:{3,4,6}:{(43,1),(44,1),(45,1),(49,1),(50,1)}
      48:{1,2,5}:{(45,1),(50,1)}
      49:{4,6}:{(46,1),(51,1)}
      50:{3,5}:{(47,1),(48,1),(51,1)}
      51:{4,5}:{(49,1),(50,1)}

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

153 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(16,1)}
       1:{3,5,6}:{(0,1),(2,1),(22,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(14,1),(19,1),(26,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(15,1),(19,1),(25,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(22,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(29,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(28,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(21,1)}
       9:{1,4,5}:{(5,1),(6,1),(14,1)}
      10:{2,4,5}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(14,1),(17,1),(19,1),(27,1)}
      12:{2,3,4,6}:{(7,1),(15,1),(18,1),(19,1),(27,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(16,1),(19,1)}
      14:{1,3,5}:{(9,1),(11,1),(20,1),(22,1)}
      15:{2,3,5}:{(10,1),(12,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(13,1),(20,1),(21,1),(22,1),(28,1),(29,1)}
      17:{1,2,4,6}:{(11,1),(20,1),(23,1),(28,1)}
      18:{1,2,4,6}:{(12,1),(21,1),(24,1),(29,1)}
      19:{3,6}:{(13,1),(22,1)}
      20:{1,2,5}:{(14,1),(17,1),(25,1)}
      21:{1,2,5}:{(15,1),(18,1),(26,1)}
      22:{3,5}:{(16,1),(19,1),(27,1)}
      23:{2,3,6}:{(17,1),(19,1),(25,1)}
      24:{1,3,6}:{(18,1),(19,1),(26,1)}
      25:{2,3,5}:{(20,1),(22,1),(23,1),(28,1)}
      26:{1,3,5}:{(21,1),(22,1),(24,1),(29,1)}
      27:{3,4}:{(22,1),(28,1),(29,1)}
      28:{2,4}:{(25,1),(27,1)}
      29:{1,4}:{(26,1),(27,1)}

154 : 0:{1,2,3}:{(1,1)}
      1:{1,2,4}:{(0,1),(2,1),(3,1)}
      2:{3,4}:{(1,1),(4,1)}
      3:{1,2,5}:{(1,1),(4,1),(5,1)}
      4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
      5:{1,2,6}:{(3,1),(7,1)}
      6:{4,5}:{(4,1),(8,1)}
      7:{3,6}:{(4,1),(5,1),(8,1)}
      8:{4,6}:{(6,1),(7,1),(9,1)}
      9:{5,6}:{(8,1)}

155 :  0:{2,3,4}:{(1,1),(2,1),(19,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1),(12,1)}
       2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1),(14,1)}
       3:{1,3}:{(1,1)}
       4:{1,2,5}:{(1,1),(2,1),(7,1),(9,1)}
       5:{2,4,5}:{(2,1),(10,1),(11,1)}
       6:{2,3,6}:{(2,1),(9,1),(11,1),(23,1)}
       7:{1,3,5}:{(3,1),(4,1),(12,1),(13,1),(14,1),(30,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(12,1),(14,1),(15,1),(16,1),(28,1),(30,1),(31,1),(43,1),(44,1)}
       9:{1,2,6}:{(4,1),(6,1),(13,1)}
      10:{3,4,5}:{(5,1),(14,1),(16,1),(17,1),(44,1)}
      11:{2,4,6}:{(5,1),(6,1),(17,1),(18,1)}
      12:{1,4}:{(7,1),(19,1)}
      13:{1,3,6}:{(7,1),(9,1),(20,1),(23,1)}
      14:{3,5}:{(8,1),(19,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(11,1),(20,1),(23,1),(24,1),(25,1),(38,1),(40,1),(41,1)}
      16:{1,4,5}:{(10,1),(21,1),(25,1)}
      17:{3,4,6}:{(10,1),(11,1),(23,1),(25,1),(26,1),(41,1)}
      18:{2,5,6}:{(11,1),(26,1)}
      19:{3,4}:{(12,1),(14,1),(28,1)}
      20:{1,4,6}:{(12,1),(13,1),(29,1),(30,1)}
      21:{1,3,5}:{(14,1),(16,1),(27,1),(31,1),(32,1)}
      22:{2,3,5}:{(14,1),(28,1),(31,1),(33,1),(42,1),(43,1)}
      23:{3,6}:{(14,1),(15,1)}
      24:{1,2,5,6}:{(15,1),(18,1),(30,1),(34,1),(35,1),(43,1)}
      25:{1,4,6}:{(16,1),(17,1),(32,1),(35,1)}
      26:{3,5,6}:{(17,1),(18,1),(35,1),(36,1)}
      27:{1,3,4}:{(19,1),(21,1),(37,1)}
      28:{2,4}:{(19,1),(22,1)}
      29:{3,4,6}:{(19,1),(20,1),(23,1),(38,1),(39,1),(41,1)}
      30:{1,5}:{(20,1),(39,1)}
      31:{1,2,5}:{(21,1),(22,1),(37,1),(40,1)}
      32:{1,3,6}:{(21,1),(23,1),(25,1),(40,1)}
      33:{2,3,6}:{(22,1),(23,1),(38,1),(40,1)}
      34:{3,5,6}:{(23,1),(24,1),(39,1),(41,1)}
      35:{1,5,6}:{(25,1),(26,1)}
      36:{4,5,6}:{(26,1),(41,1)}
      37:{1,2,4}:{(27,1),(28,1),(31,1),(42,1)}
      38:{2,4,6}:{(28,1),(29,1),(33,1),(43,1)}
      39:{3,5}:{(29,1),(30,1),(43,1),(44,1)}
      40:{1,2,6}:{(31,1),(32,1),(33,1)}
      41:{4,6}:{(34,1),(44,1)}
      42:{2,3}:{(37,1)}
      43:{2,5}:{(38,1),(39,1)}
      44:{4,5}:{(39,1),(41,1)}

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

157 :  0:{1,2,5,6}:{(2,1),(3,1),(22,1),(23,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(10,1),(12,1),(13,1),(16,1),(22,1),(23,1)}
       2:{3,5,6}:{(0,1),(5,1),(7,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(7,1),(18,1),(19,1),(21,1)}
       4:{3,5}:{(1,1),(6,1),(7,1)}
       5:{4,6}:{(2,1),(10,1)}
       6:{3,4}:{(4,1),(12,1),(13,1),(25,1)}
       7:{3,6}:{(3,1),(4,1)}
       8:{1,3,5}:{(4,1),(12,1),(14,1),(16,1),(22,1),(25,1),(28,1)}
       9:{2,3,5}:{(4,1),(13,1),(15,1),(16,1),(23,1),(25,1),(28,1)}
      10:{4,5}:{(5,1),(17,1),(29,1)}
      11:{3,4,6}:{(5,1),(6,1),(7,1),(17,1),(18,1),(19,1),(27,1),(29,1)}
      12:{1,4}:{(6,1),(8,1),(29,1)}
      13:{2,4}:{(6,1),(9,1),(29,1)}
      14:{1,3,6}:{(7,1),(8,1),(18,1),(21,1),(27,1)}
      15:{2,3,6}:{(7,1),(9,1),(19,1),(21,1),(27,1)}
      16:{1,2,5}:{(8,1),(9,1),(20,1),(21,1)}
      17:{3,5}:{(10,1),(11,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1),(22,1)}
      19:{2,4,6}:{(11,1),(13,1),(15,1),(23,1)}
      20:{1,2,4}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,2,6}:{(14,1),(15,1),(16,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,5}:{(17,1),(19,1)}
      24:{1,2,4,6}:{(18,1),(19,1),(20,1),(21,1),(26,1),(27,1),(29,1)}
      25:{3}:{(20,1)}
      26:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      27:{3,6}:{(24,1),(25,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

158 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(21,1),(23,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(16,1)}
       2:{1,3,5}:{(0,1),(5,1),(6,1),(17,1),(38,1)}
       3:{1,3,5,6}:{(2,1),(7,1),(8,1),(19,1),(21,1)}
       4:{2,3,6}:{(1,1),(9,1),(21,1)}
       5:{1,2,5}:{(1,1),(2,1),(9,1)}
       6:{1,4,5}:{(2,1),(8,1),(11,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(13,1),(14,1),(26,1),(38,1)}
       8:{1,4,6}:{(3,1),(6,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(16,1),(17,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(14,1),(16,1),(17,1),(18,1),(27,1),(31,1),(33,1),(38,1)}
      11:{3,4,5}:{(6,1),(15,1),(17,1),(18,1)}
      12:{1,4,5,6}:{(8,1),(19,1)}
      13:{2,3,5,6}:{(7,1),(9,1),(20,1),(21,1),(34,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1),(35,1),(36,1)}
      15:{3,4,6}:{(8,1),(11,1),(19,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(23,1)}
      17:{3,5}:{(10,1),(21,1),(23,1)}
      18:{2,4,5}:{(11,1),(22,1),(25,1)}
      19:{3,5,6}:{(12,1),(15,1),(26,1)}
      20:{2,4,6}:{(13,1),(16,1),(27,1),(28,1)}
      21:{3,6}:{(14,1),(17,1)}
      22:{2,4,6}:{(15,1),(18,1),(26,1),(30,1)}
      23:{3,4}:{(16,1),(17,1),(31,1)}
      24:{1,3,5}:{(17,1),(29,1),(31,1),(33,1),(38,1),(39,1)}
      25:{2,3,5}:{(17,1),(18,1),(30,1),(32,1),(33,1)}
      26:{2,5,6}:{(19,1),(22,1)}
      27:{2,4,5}:{(20,1),(34,1)}
      28:{3,4,6}:{(20,1),(21,1),(23,1),(34,1),(35,1)}
      29:{1,3,6}:{(21,1),(24,1),(35,1),(36,1)}
      30:{2,3,6}:{(21,1),(22,1),(25,1),(36,1)}
      31:{1,4}:{(23,1),(24,1)}
      32:{2,3,4}:{(23,1),(25,1),(37,1)}
      33:{1,2,5}:{(24,1),(25,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(28,1),(29,1),(31,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(37,1)}

159 :  0:{1,3,4}:{(2,1),(3,1),(32,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(24,1),(44,1)}
       2:{1,3,5}:{(0,1),(6,1),(8,1),(9,1),(24,1)}
       3:{1,2,4}:{(0,1),(9,1),(10,1),(26,1)}
       4:{4,5,6}:{(12,1),(41,1)}
       5:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(31,1),(41,1)}
       6:{1,4,5}:{(1,1),(2,1),(13,1)}
       7:{2,4,5}:{(1,1),(11,1),(14,1)}
       8:{1,3,6}:{(2,1),(13,1),(16,1),(31,1)}
       9:{1,2,5}:{(2,1),(3,1),(16,1),(17,1)}
      10:{2,3}:{(3,1)}
      11:{2,3,5}:{(7,1),(18,1),(19,1),(20,1),(24,1)}
      12:{3,5,6}:{(4,1),(5,1),(21,1),(22,1)}
      13:{1,4,6}:{(5,1),(6,1),(8,1),(21,1)}
      14:{2,4,6}:{(5,1),(7,1),(19,1),(22,1)}
      15:{1,2,4,5}:{(6,1),(7,1),(9,1),(20,1),(23,1),(24,1),(26,1),(36,1),(39,1),(43,1),(44,1)}
      16:{1,2,6}:{(8,1),(9,1),(25,1)}
      17:{2,3,5}:{(9,1),(10,1),(24,1),(25,1),(26,1),(39,1)}
      18:{2,3,4}:{(11,1),(27,1),(32,1)}
      19:{2,3,6}:{(11,1),(14,1),(28,1),(31,1)}
      20:{1,2,5}:{(11,1),(27,1),(28,1),(29,1)}
      21:{1,5,6}:{(12,1),(13,1)}
      22:{2,5,6}:{(12,1),(14,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(15,1),(16,1),(28,1),(30,1),(31,1),(33,1),(40,1),(41,1)}
      24:{3,5}:{(15,1),(31,1),(32,1)}
      25:{2,3,6}:{(16,1),(17,1),(31,1),(33,1)}
      26:{2,4}:{(17,1),(32,1)}
      27:{1,2,4}:{(18,1),(20,1),(34,1),(36,1)}
      28:{1,2,6}:{(19,1),(20,1),(35,1)}
      29:{1,3,5}:{(20,1),(24,1),(34,1),(35,1),(36,1),(43,1)}
      30:{1,2,5,6}:{(21,1),(22,1),(23,1),(37,1),(39,1),(43,1)}
      31:{3,6}:{(23,1),(24,1)}
      32:{3,4}:{(24,1),(26,1),(36,1)}
      33:{2,4,6}:{(25,1),(26,1),(38,1),(39,1)}
      34:{1,3}:{(27,1)}
      35:{1,3,6}:{(28,1),(29,1),(31,1),(40,1)}
      36:{1,4}:{(29,1),(32,1)}
      37:{3,5,6}:{(30,1),(31,1),(41,1),(42,1)}
      38:{3,4,6}:{(31,1),(32,1),(33,1),(40,1),(41,1),(42,1)}
      39:{2,5}:{(33,1),(42,1)}
      40:{1,4,6}:{(35,1),(36,1),(38,1),(43,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{1,5}:{(40,1),(42,1)}
      44:{4,5}:{(41,1),(42,1)}

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

161 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(21,1),(44,1)}
       1:{4,5,6}:{(8,1),(40,1)}
       2:{3,4,6}:{(0,1),(8,1),(9,1),(10,1),(29,1),(40,1)}
       3:{1,4,5}:{(0,1),(6,1),(9,1)}
       4:{2,4,5}:{(0,1),(7,1),(10,1)}
       5:{1,3,4}:{(6,1),(12,1),(30,1)}
       6:{1,3,5}:{(3,1),(5,1),(14,1),(15,1),(21,1)}
       7:{2,3,5}:{(4,1),(13,1),(16,1),(17,1),(21,1)}
       8:{3,5,6}:{(1,1),(2,1),(18,1),(19,1)}
       9:{1,4,6}:{(2,1),(3,1),(14,1),(18,1)}
      10:{2,4,6}:{(2,1),(4,1),(16,1),(19,1)}
      11:{1,2,4,5}:{(3,1),(4,1),(15,1),(17,1),(20,1),(21,1),(33,1),(35,1),(42,1),(43,1),(44,1)}
      12:{1,2,4}:{(5,1),(15,1),(22,1),(33,1)}
      13:{2,3,4}:{(7,1),(23,1),(30,1)}
      14:{1,3,6}:{(6,1),(9,1),(24,1),(29,1)}
      15:{1,2,5}:{(6,1),(12,1),(24,1),(25,1)}
      16:{2,3,6}:{(7,1),(10,1),(26,1),(29,1)}
      17:{1,2,5}:{(7,1),(23,1),(26,1),(27,1)}
      18:{1,5,6}:{(8,1),(9,1)}
      19:{2,5,6}:{(8,1),(10,1)}
      20:{1,2,4,6}:{(9,1),(10,1),(11,1),(24,1),(26,1),(28,1),(29,1),(38,1),(39,1),(40,1)}
      21:{3,5}:{(11,1),(29,1),(30,1)}
      22:{2,3}:{(12,1)}
      23:{1,2,4}:{(13,1),(17,1),(31,1),(35,1)}
      24:{1,2,6}:{(14,1),(15,1),(32,1)}
      25:{2,3,5}:{(15,1),(21,1),(22,1),(32,1),(33,1),(42,1)}
      26:{1,2,6}:{(16,1),(17,1),(34,1)}
      27:{1,3,5}:{(17,1),(21,1),(31,1),(34,1),(35,1),(43,1)}
      28:{1,2,5,6}:{(18,1),(19,1),(20,1),(36,1),(42,1),(43,1)}
      29:{3,6}:{(20,1),(21,1)}
      30:{3,4}:{(21,1),(33,1),(35,1)}
      31:{1,3}:{(23,1)}
      32:{2,3,6}:{(24,1),(25,1),(29,1),(38,1)}
      33:{2,4}:{(25,1),(30,1)}
      34:{1,3,6}:{(26,1),(27,1),(29,1),(39,1)}
      35:{1,4}:{(27,1),(30,1)}
      36:{3,5,6}:{(28,1),(29,1),(40,1),(41,1)}
      37:{3,4,6}:{(29,1),(30,1),(38,1),(39,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(33,1),(37,1),(42,1)}
      39:{1,4,6}:{(34,1),(35,1),(37,1),(43,1)}
      40:{4,6}:{(36,1),(44,1)}
      41:{3,5}:{(37,1),(42,1),(43,1),(44,1)}
      42:{2,5}:{(38,1),(41,1)}
      43:{1,5}:{(39,1),(41,1)}
      44:{4,5}:{(40,1),(41,1)}

162 :  0:{4,5,6}:{(1,1),(29,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1),(5,1)}
       2:{3,4,5}:{(3,1),(6,1),(7,1),(23,1),(37,1)}
       3:{3,4,6}:{(1,1),(2,1),(9,1),(10,1),(28,1),(29,1)}
       4:{1,5,6}:{(1,1),(9,1)}
       5:{2,5,6}:{(1,1),(10,1)}
       6:{1,4,5}:{(2,1),(9,1),(12,1)}
       7:{2,4,5}:{(2,1),(10,1),(13,1)}
       8:{1,3,4}:{(12,1),(15,1),(32,1)}
       9:{1,4,6}:{(3,1),(4,1),(6,1),(17,1)}
      10:{2,4,6}:{(3,1),(5,1),(7,1),(18,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(19,1),(20,1),(43,1),(44,1)}
      12:{1,3,5}:{(6,1),(8,1),(17,1),(21,1),(23,1)}
      13:{2,3,5}:{(7,1),(16,1),(18,1),(22,1),(23,1)}
      14:{1,2,4,5}:{(6,1),(7,1),(19,1),(21,1),(22,1),(23,1),(37,1),(38,1),(39,1),(43,1),(44,1)}
      15:{1,2,4}:{(8,1),(21,1),(24,1),(38,1)}
      16:{2,3,4}:{(13,1),(25,1),(32,1)}
      17:{1,3,6}:{(9,1),(12,1),(26,1),(28,1)}
      18:{2,3,6}:{(10,1),(13,1),(27,1),(28,1)}
      19:{1,2,4,6}:{(9,1),(10,1),(11,1),(14,1),(26,1),(27,1),(28,1),(29,1),(40,1),(41,1)}
      20:{3,5,6}:{(11,1),(28,1),(29,1),(42,1)}
      21:{1,2,5}:{(12,1),(15,1),(26,1),(30,1)}
      22:{1,2,5}:{(13,1),(25,1),(27,1),(31,1)}
      23:{3,5}:{(14,1),(28,1),(32,1)}
      24:{2,3}:{(15,1)}
      25:{1,2,4}:{(16,1),(22,1),(33,1),(39,1)}
      26:{1,2,6}:{(17,1),(21,1),(34,1)}
      27:{1,2,6}:{(18,1),(22,1),(35,1)}
      28:{3,6}:{(19,1),(23,1)}
      29:{4,6}:{(20,1),(37,1)}
      30:{2,3,5}:{(21,1),(23,1),(24,1),(34,1),(38,1),(43,1)}
      31:{1,3,5}:{(22,1),(23,1),(33,1),(35,1),(39,1),(44,1)}
      32:{3,4}:{(23,1),(38,1),(39,1)}
      33:{1,3}:{(25,1)}
      34:{2,3,6}:{(26,1),(28,1),(30,1),(40,1)}
      35:{1,3,6}:{(27,1),(28,1),(31,1),(41,1)}
      36:{3,4,6}:{(28,1),(29,1),(32,1),(40,1),(41,1),(42,1)}
      37:{4,5}:{(29,1),(42,1)}
      38:{2,4}:{(30,1),(32,1)}
      39:{1,4}:{(31,1),(32,1)}
      40:{2,4,6}:{(34,1),(36,1),(38,1),(43,1)}
      41:{1,4,6}:{(35,1),(36,1),(39,1),(44,1)}
      42:{3,5}:{(36,1),(37,1),(43,1),(44,1)}
      43:{2,5}:{(40,1),(42,1)}
      44:{1,5}:{(41,1),(42,1)}

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

164 :  0:{1,3,4}:{(1,1),(2,1),(19,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1),(12,1)}
       2:{1,3,5}:{(0,1),(4,1),(5,1),(6,1),(14,1)}
       3:{2,3}:{(1,1)}
       4:{1,2,5}:{(1,1),(2,1),(7,1),(9,1)}
       5:{1,4,5}:{(2,1),(10,1),(11,1)}
       6:{1,3,6}:{(2,1),(9,1),(11,1),(23,1)}
       7:{2,3,5}:{(3,1),(4,1),(12,1),(13,1),(14,1),(30,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(12,1),(14,1),(15,1),(16,1),(27,1),(30,1),(31,1),(43,1),(44,1)}
       9:{1,2,6}:{(4,1),(6,1),(13,1)}
      10:{3,4,5}:{(5,1),(14,1),(16,1),(17,1),(44,1)}
      11:{1,4,6}:{(5,1),(6,1),(17,1),(18,1)}
      12:{2,4}:{(7,1),(19,1)}
      13:{2,3,6}:{(7,1),(9,1),(20,1),(23,1)}
      14:{3,5}:{(8,1),(19,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(11,1),(20,1),(23,1),(24,1),(25,1),(38,1),(40,1),(41,1)}
      16:{2,4,5}:{(10,1),(22,1),(25,1)}
      17:{3,4,6}:{(10,1),(11,1),(23,1),(25,1),(26,1),(41,1)}
      18:{1,5,6}:{(11,1),(26,1)}
      19:{3,4}:{(12,1),(14,1),(27,1)}
      20:{2,4,6}:{(12,1),(13,1),(29,1),(30,1)}
      21:{1,3,5}:{(14,1),(27,1),(31,1),(32,1),(42,1),(43,1)}
      22:{2,3,5}:{(14,1),(16,1),(28,1),(31,1),(33,1)}
      23:{3,6}:{(14,1),(15,1)}
      24:{1,2,5,6}:{(15,1),(18,1),(30,1),(34,1),(35,1),(43,1)}
      25:{2,4,6}:{(16,1),(17,1),(33,1),(35,1)}
      26:{3,5,6}:{(17,1),(18,1),(35,1),(36,1)}
      27:{1,4}:{(19,1),(21,1)}
      28:{2,3,4}:{(19,1),(22,1),(37,1)}
      29:{3,4,6}:{(19,1),(20,1),(23,1),(38,1),(39,1),(41,1)}
      30:{2,5}:{(20,1),(39,1)}
      31:{1,2,5}:{(21,1),(22,1),(37,1),(40,1)}
      32:{1,3,6}:{(21,1),(23,1),(38,1),(40,1)}
      33:{2,3,6}:{(22,1),(23,1),(25,1),(40,1)}
      34:{3,5,6}:{(23,1),(24,1),(39,1),(41,1)}
      35:{2,5,6}:{(25,1),(26,1)}
      36:{4,5,6}:{(26,1),(41,1)}
      37:{1,2,4}:{(27,1),(28,1),(31,1),(42,1)}
      38:{1,4,6}:{(27,1),(29,1),(32,1),(43,1)}
      39:{3,5}:{(29,1),(30,1),(43,1),(44,1)}
      40:{1,2,6}:{(31,1),(32,1),(33,1)}
      41:{4,6}:{(34,1),(44,1)}
      42:{1,3}:{(37,1)}
      43:{1,5}:{(38,1),(39,1)}
      44:{4,5}:{(39,1),(41,1)}

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

166 :  0:{1,2,5,6}:{(2,1),(3,1),(22,1),(23,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(10,1),(12,1),(13,1),(16,1),(22,1),(23,1)}
       2:{3,5,6}:{(0,1),(5,1),(7,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(7,1),(18,1),(19,1),(21,1)}
       4:{3,5}:{(1,1),(6,1),(7,1)}
       5:{4,6}:{(2,1),(10,1)}
       6:{3,4}:{(4,1),(12,1),(13,1),(25,1)}
       7:{3,6}:{(3,1),(4,1)}
       8:{1,3,5}:{(4,1),(12,1),(14,1),(16,1),(22,1),(25,1),(28,1)}
       9:{2,3,5}:{(4,1),(13,1),(15,1),(16,1),(23,1),(25,1),(28,1)}
      10:{4,5}:{(5,1),(17,1),(29,1)}
      11:{3,4,6}:{(5,1),(6,1),(7,1),(17,1),(18,1),(19,1),(27,1),(29,1)}
      12:{1,4}:{(6,1),(8,1),(29,1)}
      13:{2,4}:{(6,1),(9,1),(29,1)}
      14:{1,3,6}:{(7,1),(8,1),(18,1),(21,1),(27,1)}
      15:{2,3,6}:{(7,1),(9,1),(19,1),(21,1),(27,1)}
      16:{1,2,5}:{(8,1),(9,1),(20,1),(21,1)}
      17:{3,5}:{(10,1),(11,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1),(22,1)}
      19:{2,4,6}:{(11,1),(13,1),(15,1),(23,1)}
      20:{1,2,4}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,2,6}:{(14,1),(15,1),(16,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,5}:{(17,1),(19,1)}
      24:{1,2,4,6}:{(18,1),(19,1),(20,1),(21,1),(26,1),(27,1),(29,1)}
      25:{3}:{(20,1)}
      26:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      27:{3,6}:{(24,1),(25,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

167 :  0:{2,3,4,6}:{(1,1),(2,1),(8,1),(21,1),(23,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(16,1)}
       2:{2,3,5}:{(0,1),(5,1),(6,1),(17,1),(38,1)}
       3:{2,3,5,6}:{(2,1),(7,1),(8,1),(19,1),(21,1)}
       4:{1,3,6}:{(1,1),(9,1),(21,1)}
       5:{1,2,5}:{(1,1),(2,1),(9,1)}
       6:{2,4,5}:{(2,1),(8,1),(11,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(13,1),(14,1),(26,1),(38,1)}
       8:{2,4,6}:{(3,1),(6,1),(15,1)}
       9:{1,3,5}:{(4,1),(5,1),(16,1),(17,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(14,1),(16,1),(17,1),(18,1),(27,1),(32,1),(33,1),(38,1)}
      11:{3,4,5}:{(6,1),(15,1),(17,1),(18,1)}
      12:{2,4,5,6}:{(8,1),(19,1)}
      13:{1,3,5,6}:{(7,1),(9,1),(20,1),(21,1),(34,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1),(35,1),(36,1)}
      15:{3,4,6}:{(8,1),(11,1),(19,1),(21,1),(22,1)}
      16:{1,4}:{(9,1),(23,1)}
      17:{3,5}:{(10,1),(21,1),(23,1)}
      18:{1,4,5}:{(11,1),(22,1),(24,1)}
      19:{3,5,6}:{(12,1),(15,1),(26,1)}
      20:{1,4,6}:{(13,1),(16,1),(27,1),(28,1)}
      21:{3,6}:{(14,1),(17,1)}
      22:{1,4,6}:{(15,1),(18,1),(26,1),(29,1)}
      23:{3,4}:{(16,1),(17,1),(32,1)}
      24:{1,3,5}:{(17,1),(18,1),(29,1),(31,1),(33,1)}
      25:{2,3,5}:{(17,1),(30,1),(32,1),(33,1),(38,1),(39,1)}
      26:{1,5,6}:{(19,1),(22,1)}
      27:{1,4,5}:{(20,1),(34,1)}
      28:{3,4,6}:{(20,1),(21,1),(23,1),(34,1),(35,1)}
      29:{1,3,6}:{(21,1),(22,1),(24,1),(36,1)}
      30:{2,3,6}:{(21,1),(25,1),(35,1),(36,1)}
      31:{1,3,4}:{(23,1),(24,1),(37,1)}
      32:{2,4}:{(23,1),(25,1)}
      33:{1,2,5}:{(24,1),(25,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(28,1),(30,1),(32,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,5}:{(34,1),(35,1)}
      39:{2,3}:{(37,1)}

168 :  0:{2,3,4}:{(2,1),(3,1),(32,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(24,1),(44,1)}
       2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(24,1)}
       3:{1,2,4}:{(0,1),(9,1),(10,1),(26,1)}
       4:{4,5,6}:{(12,1),(41,1)}
       5:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(31,1),(41,1)}
       6:{1,4,5}:{(1,1),(11,1),(13,1)}
       7:{2,4,5}:{(1,1),(2,1),(14,1)}
       8:{2,3,6}:{(2,1),(14,1),(16,1),(31,1)}
       9:{1,2,5}:{(2,1),(3,1),(16,1),(17,1)}
      10:{1,3}:{(3,1)}
      11:{1,3,5}:{(6,1),(18,1),(19,1),(20,1),(24,1)}
      12:{3,5,6}:{(4,1),(5,1),(21,1),(22,1)}
      13:{1,4,6}:{(5,1),(6,1),(19,1),(21,1)}
      14:{2,4,6}:{(5,1),(7,1),(8,1),(22,1)}
      15:{1,2,4,5}:{(6,1),(7,1),(9,1),(20,1),(23,1),(24,1),(26,1),(36,1),(39,1),(43,1),(44,1)}
      16:{1,2,6}:{(8,1),(9,1),(25,1)}
      17:{1,3,5}:{(9,1),(10,1),(24,1),(25,1),(26,1),(39,1)}
      18:{1,3,4}:{(11,1),(27,1),(32,1)}
      19:{1,3,6}:{(11,1),(13,1),(28,1),(31,1)}
      20:{1,2,5}:{(11,1),(27,1),(28,1),(29,1)}
      21:{1,5,6}:{(12,1),(13,1)}
      22:{2,5,6}:{(12,1),(14,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(15,1),(16,1),(28,1),(30,1),(31,1),(33,1),(40,1),(41,1)}
      24:{3,5}:{(15,1),(31,1),(32,1)}
      25:{1,3,6}:{(16,1),(17,1),(31,1),(33,1)}
      26:{1,4}:{(17,1),(32,1)}
      27:{1,2,4}:{(18,1),(20,1),(34,1),(36,1)}
      28:{1,2,6}:{(19,1),(20,1),(35,1)}
      29:{2,3,5}:{(20,1),(24,1),(34,1),(35,1),(36,1),(43,1)}
      30:{1,2,5,6}:{(21,1),(22,1),(23,1),(37,1),(39,1),(43,1)}
      31:{3,6}:{(23,1),(24,1)}
      32:{3,4}:{(24,1),(26,1),(36,1)}
      33:{1,4,6}:{(25,1),(26,1),(38,1),(39,1)}
      34:{2,3}:{(27,1)}
      35:{2,3,6}:{(28,1),(29,1),(31,1),(40,1)}
      36:{2,4}:{(29,1),(32,1)}
      37:{3,5,6}:{(30,1),(31,1),(41,1),(42,1)}
      38:{3,4,6}:{(31,1),(32,1),(33,1),(40,1),(41,1),(42,1)}
      39:{1,5}:{(33,1),(42,1)}
      40:{2,4,6}:{(35,1),(36,1),(38,1),(43,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{2,5}:{(40,1),(42,1)}
      44:{4,5}:{(41,1),(42,1)}

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

170 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(21,1),(44,1)}
       1:{4,5,6}:{(8,1),(40,1)}
       2:{3,4,6}:{(0,1),(8,1),(9,1),(10,1),(29,1),(40,1)}
       3:{1,4,5}:{(0,1),(6,1),(9,1)}
       4:{2,4,5}:{(0,1),(7,1),(10,1)}
       5:{2,3,4}:{(7,1),(12,1),(30,1)}
       6:{1,3,5}:{(3,1),(13,1),(14,1),(15,1),(21,1)}
       7:{2,3,5}:{(4,1),(5,1),(16,1),(17,1),(21,1)}
       8:{3,5,6}:{(1,1),(2,1),(18,1),(19,1)}
       9:{1,4,6}:{(2,1),(3,1),(14,1),(18,1)}
      10:{2,4,6}:{(2,1),(4,1),(16,1),(19,1)}
      11:{1,2,4,5}:{(3,1),(4,1),(15,1),(17,1),(20,1),(21,1),(33,1),(35,1),(42,1),(43,1),(44,1)}
      12:{1,2,4}:{(5,1),(17,1),(22,1),(35,1)}
      13:{1,3,4}:{(6,1),(23,1),(30,1)}
      14:{1,3,6}:{(6,1),(9,1),(24,1),(29,1)}
      15:{1,2,5}:{(6,1),(23,1),(24,1),(25,1)}
      16:{2,3,6}:{(7,1),(10,1),(26,1),(29,1)}
      17:{1,2,5}:{(7,1),(12,1),(26,1),(27,1)}
      18:{1,5,6}:{(8,1),(9,1)}
      19:{2,5,6}:{(8,1),(10,1)}
      20:{1,2,4,6}:{(9,1),(10,1),(11,1),(24,1),(26,1),(28,1),(29,1),(38,1),(39,1),(40,1)}
      21:{3,5}:{(11,1),(29,1),(30,1)}
      22:{1,3}:{(12,1)}
      23:{1,2,4}:{(13,1),(15,1),(31,1),(33,1)}
      24:{1,2,6}:{(14,1),(15,1),(32,1)}
      25:{2,3,5}:{(15,1),(21,1),(31,1),(32,1),(33,1),(42,1)}
      26:{1,2,6}:{(16,1),(17,1),(34,1)}
      27:{1,3,5}:{(17,1),(21,1),(22,1),(34,1),(35,1),(43,1)}
      28:{1,2,5,6}:{(18,1),(19,1),(20,1),(36,1),(42,1),(43,1)}
      29:{3,6}:{(20,1),(21,1)}
      30:{3,4}:{(21,1),(33,1),(35,1)}
      31:{2,3}:{(23,1)}
      32:{2,3,6}:{(24,1),(25,1),(29,1),(38,1)}
      33:{2,4}:{(25,1),(30,1)}
      34:{1,3,6}:{(26,1),(27,1),(29,1),(39,1)}
      35:{1,4}:{(27,1),(30,1)}
      36:{3,5,6}:{(28,1),(29,1),(40,1),(41,1)}
      37:{3,4,6}:{(29,1),(30,1),(38,1),(39,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(33,1),(37,1),(42,1)}
      39:{1,4,6}:{(34,1),(35,1),(37,1),(43,1)}
      40:{4,6}:{(36,1),(44,1)}
      41:{3,5}:{(37,1),(42,1),(43,1),(44,1)}
      42:{2,5}:{(38,1),(41,1)}
      43:{1,5}:{(39,1),(41,1)}
      44:{4,5}:{(40,1),(41,1)}

171 :  0:{4,5,6}:{(1,1),(29,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1),(5,1)}
       2:{3,4,5}:{(3,1),(6,1),(7,1),(23,1),(37,1)}
       3:{3,4,6}:{(1,1),(2,1),(9,1),(10,1),(28,1),(29,1)}
       4:{1,5,6}:{(1,1),(9,1)}
       5:{2,5,6}:{(1,1),(10,1)}
       6:{1,4,5}:{(2,1),(9,1),(12,1)}
       7:{2,4,5}:{(2,1),(10,1),(13,1)}
       8:{2,3,4}:{(13,1),(15,1),(32,1)}
       9:{1,4,6}:{(3,1),(4,1),(6,1),(17,1)}
      10:{2,4,6}:{(3,1),(5,1),(7,1),(18,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(19,1),(20,1),(43,1),(44,1)}
      12:{1,3,5}:{(6,1),(16,1),(17,1),(21,1),(23,1)}
      13:{2,3,5}:{(7,1),(8,1),(18,1),(22,1),(23,1)}
      14:{1,2,4,5}:{(6,1),(7,1),(19,1),(21,1),(22,1),(23,1),(37,1),(38,1),(39,1),(43,1),(44,1)}
      15:{1,2,4}:{(8,1),(22,1),(24,1),(39,1)}
      16:{1,3,4}:{(12,1),(25,1),(32,1)}
      17:{1,3,6}:{(9,1),(12,1),(26,1),(28,1)}
      18:{2,3,6}:{(10,1),(13,1),(27,1),(28,1)}
      19:{1,2,4,6}:{(9,1),(10,1),(11,1),(14,1),(26,1),(27,1),(28,1),(29,1),(40,1),(41,1)}
      20:{3,5,6}:{(11,1),(28,1),(29,1),(42,1)}
      21:{1,2,5}:{(12,1),(25,1),(26,1),(30,1)}
      22:{1,2,5}:{(13,1),(15,1),(27,1),(31,1)}
      23:{3,5}:{(14,1),(28,1),(32,1)}
      24:{1,3}:{(15,1)}
      25:{1,2,4}:{(16,1),(21,1),(33,1),(38,1)}
      26:{1,2,6}:{(17,1),(21,1),(34,1)}
      27:{1,2,6}:{(18,1),(22,1),(35,1)}
      28:{3,6}:{(19,1),(23,1)}
      29:{4,6}:{(20,1),(37,1)}
      30:{2,3,5}:{(21,1),(23,1),(33,1),(34,1),(38,1),(43,1)}
      31:{1,3,5}:{(22,1),(23,1),(24,1),(35,1),(39,1),(44,1)}
      32:{3,4}:{(23,1),(38,1),(39,1)}
      33:{2,3}:{(25,1)}
      34:{2,3,6}:{(26,1),(28,1),(30,1),(40,1)}
      35:{1,3,6}:{(27,1),(28,1),(31,1),(41,1)}
      36:{3,4,6}:{(28,1),(29,1),(32,1),(40,1),(41,1),(42,1)}
      37:{4,5}:{(29,1),(42,1)}
      38:{2,4}:{(30,1),(32,1)}
      39:{1,4}:{(31,1),(32,1)}
      40:{2,4,6}:{(34,1),(36,1),(38,1),(43,1)}
      41:{1,4,6}:{(35,1),(36,1),(39,1),(44,1)}
      42:{3,5}:{(36,1),(37,1),(43,1),(44,1)}
      43:{2,5}:{(40,1),(42,1)}
      44:{1,5}:{(41,1),(42,1)}

172 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(10,1),(20,1)}
       1:{1,2,5,6}:{(0,1),(4,1),(5,1),(13,1),(26,1),(27,1)}
       2:{2,4,6}:{(0,1),(3,1),(6,1),(25,1)}
       3:{2,4,5}:{(2,1),(8,1)}
       4:{1,3,5,6}:{(1,1),(9,1),(10,1),(19,1),(21,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(10,1),(11,1),(22,1),(23,1),(28,1)}
       6:{3,4,6}:{(2,1),(8,1),(10,1),(11,1),(18,1)}
       7:{1,2,4,5}:{(3,1),(5,1),(12,1),(13,1),(14,1),(24,1),(25,1),(26,1),(27,1)}
       8:{3,5}:{(3,1),(6,1),(13,1)}
       9:{1,4,6}:{(4,1),(14,1),(15,1),(24,1)}
      10:{3,6}:{(5,1),(12,1),(29,1)}
      11:{1,4,6}:{(6,1),(13,1),(16,1),(24,1)}
      12:{3,5}:{(7,1),(10,1),(18,1)}
      13:{1,5}:{(8,1),(11,1)}
      14:{1,4,5}:{(9,1),(21,1)}
      15:{3,4,6}:{(9,1),(10,1),(18,1),(21,1),(22,1)}
      16:{1,3,6}:{(10,1),(11,1),(19,1),(23,1)}
      17:{2,3,6}:{(10,1),(20,1),(22,1),(23,1)}
      18:{3,4}:{(12,1),(24,1),(25,1),(29,1)}
      19:{1,3,5}:{(12,1),(13,1),(16,1),(24,1),(26,1),(29,1)}
      20:{2,3,5}:{(12,1),(17,1),(25,1),(26,1),(27,1),(29,1)}
      21:{3,5}:{(14,1),(15,1),(27,1)}
      22:{2,4,6}:{(15,1),(17,1),(25,1),(27,1)}
      23:{1,2,6}:{(16,1),(17,1),(26,1)}
      24:{1,4}:{(18,1),(19,1)}
      25:{2,4}:{(18,1),(20,1)}
      26:{1,2,5}:{(19,1),(20,1),(23,1),(28,1)}
      27:{2,5}:{(21,1),(22,1)}
      28:{1,2,4}:{(24,1),(25,1),(26,1),(29,1)}
      29:{3}:{(28,1)}

173 : 0:{1,2,3}:{(1,1)}
      1:{1,2,4}:{(0,1),(2,1),(3,1)}
      2:{3,4}:{(1,1),(4,1)}
      3:{1,2,5}:{(1,1),(4,1),(5,1)}
      4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
      5:{1,2,6}:{(3,1),(7,1)}
      6:{4,5}:{(4,1),(8,1)}
      7:{3,6}:{(4,1),(5,1),(8,1)}
      8:{4,6}:{(6,1),(7,1),(9,1)}
      9:{5,6}:{(8,1)}

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

175 : 0:{2,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{2,5}:{(0,1),(4,1),(9,1)}
      3:{1,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{1,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{1,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{2}:{(8,1)}

176 :  0:{1,4,5,6}:{(1,1),(6,1)}
       1:{3,5,6}:{(0,1),(2,1),(4,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(20,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(15,1),(20,1)}
       4:{2,5,6}:{(1,1),(7,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(25,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(12,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(14,1),(23,1),(39,1)}
       9:{1,4,5}:{(5,1),(6,1),(15,1)}
      10:{2,4,5}:{(5,1),(7,1),(16,1)}
      11:{1,3,4,6}:{(6,1),(15,1),(18,1),(20,1),(33,1),(34,1)}
      12:{2,3,6}:{(7,1),(16,1),(19,1),(20,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(19,1),(20,1),(21,1),(34,1)}
      14:{2,3,5,6}:{(8,1),(20,1),(21,1),(31,1),(35,1)}
      15:{1,3,5}:{(9,1),(11,1),(23,1),(25,1),(39,1)}
      16:{2,3,5}:{(10,1),(12,1),(22,1),(24,1),(25,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(13,1),(23,1),(24,1),(25,1),(29,1),(37,1),(38,1),(39,1)}
      18:{1,2,4,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,2,6}:{(12,1),(24,1),(27,1)}
      20:{3,6}:{(13,1),(25,1)}
      21:{2,4,6}:{(14,1),(28,1),(29,1),(37,1)}
      22:{2,3,4}:{(16,1),(30,1),(33,1)}
      23:{1,2,5}:{(15,1),(18,1),(31,1)}
      24:{1,2,5}:{(16,1),(19,1),(30,1),(32,1)}
      25:{3,5}:{(17,1),(20,1),(33,1)}
      26:{2,3,6}:{(18,1),(20,1),(31,1)}
      27:{1,3,6}:{(19,1),(20,1),(32,1),(34,1)}
      28:{3,4,6}:{(20,1),(21,1),(33,1),(34,1),(35,1)}
      29:{2,4,5}:{(21,1),(35,1)}
      30:{1,2,4}:{(22,1),(24,1),(36,1),(38,1)}
      31:{2,3,5}:{(23,1),(25,1),(26,1),(37,1)}
      32:{1,3,5}:{(24,1),(25,1),(27,1),(36,1),(38,1),(39,1)}
      33:{3,4}:{(25,1),(37,1),(38,1)}
      34:{1,4,6}:{(27,1),(28,1),(38,1),(39,1)}
      35:{3,5}:{(28,1),(29,1),(39,1)}
      36:{1,3}:{(30,1)}
      37:{2,4}:{(31,1),(33,1)}
      38:{1,4}:{(32,1),(33,1)}
      39:{1,5}:{(34,1),(35,1)}

177 : 0:{1,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{1,5}:{(0,1),(4,1),(9,1)}
      3:{2,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{2,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{2,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{1}:{(8,1)}

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

179 :  0:{2,4,5,6}:{(1,1),(7,1)}
       1:{3,5,6}:{(0,1),(2,1),(3,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(20,1)}
       3:{1,5,6}:{(1,1),(6,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(16,1),(20,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(25,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(11,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(14,1),(24,1),(39,1)}
       9:{1,4,5}:{(5,1),(6,1),(15,1)}
      10:{2,4,5}:{(5,1),(7,1),(16,1)}
      11:{1,3,6}:{(6,1),(15,1),(18,1),(20,1)}
      12:{2,3,4,6}:{(7,1),(16,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(18,1),(20,1),(21,1),(34,1)}
      14:{1,3,5,6}:{(8,1),(20,1),(21,1),(32,1),(35,1)}
      15:{1,3,5}:{(9,1),(11,1),(22,1),(23,1),(25,1)}
      16:{2,3,5}:{(10,1),(12,1),(24,1),(25,1),(39,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(13,1),(23,1),(24,1),(25,1),(29,1),(37,1),(38,1),(39,1)}
      18:{1,2,6}:{(11,1),(23,1),(26,1)}
      19:{1,2,4,6}:{(12,1),(24,1),(27,1),(38,1)}
      20:{3,6}:{(13,1),(25,1)}
      21:{1,4,6}:{(14,1),(28,1),(29,1),(38,1)}
      22:{1,3,4}:{(15,1),(30,1),(33,1)}
      23:{1,2,5}:{(15,1),(18,1),(30,1),(31,1)}
      24:{1,2,5}:{(16,1),(19,1),(32,1)}
      25:{3,5}:{(17,1),(20,1),(33,1)}
      26:{2,3,6}:{(18,1),(20,1),(31,1),(34,1)}
      27:{1,3,6}:{(19,1),(20,1),(32,1)}
      28:{3,4,6}:{(20,1),(21,1),(33,1),(34,1),(35,1)}
      29:{1,4,5}:{(21,1),(35,1)}
      30:{1,2,4}:{(22,1),(23,1),(36,1),(37,1)}
      31:{2,3,5}:{(23,1),(25,1),(26,1),(36,1),(37,1),(39,1)}
      32:{1,3,5}:{(24,1),(25,1),(27,1),(38,1)}
      33:{3,4}:{(25,1),(37,1),(38,1)}
      34:{2,4,6}:{(26,1),(28,1),(37,1),(39,1)}
      35:{3,5}:{(28,1),(29,1),(39,1)}
      36:{2,3}:{(30,1)}
      37:{2,4}:{(31,1),(33,1)}
      38:{1,4}:{(32,1),(33,1)}
      39:{2,5}:{(34,1),(35,1)}

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

181 :  0:{1,2,5,6}:{(1,1),(2,1),(21,1),(22,1)}
       1:{3,5,6}:{(0,1),(4,1),(5,1),(14,1)}
       2:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(15,1),(16,1),(17,1)}
       3:{1,2,4,5}:{(2,1),(6,1),(7,1),(18,1),(19,1),(20,1),(21,1),(22,1)}
       4:{4,6}:{(1,1),(7,1)}
       5:{3,6}:{(2,1),(6,1)}
       6:{3,5}:{(3,1),(5,1),(11,1)}
       7:{4,5}:{(4,1),(14,1),(29,1)}
       8:{3,4,6}:{(4,1),(5,1),(11,1),(14,1),(15,1),(16,1),(26,1),(29,1)}
       9:{1,3,6}:{(5,1),(12,1),(15,1),(17,1),(26,1)}
      10:{2,3,6}:{(5,1),(13,1),(16,1),(17,1),(26,1)}
      11:{3,4}:{(6,1),(18,1),(19,1),(27,1)}
      12:{1,3,5}:{(6,1),(9,1),(18,1),(20,1),(21,1),(27,1),(28,1)}
      13:{2,3,5}:{(6,1),(10,1),(19,1),(20,1),(22,1),(27,1),(28,1)}
      14:{3,5}:{(7,1),(8,1),(21,1),(22,1)}
      15:{1,4,6}:{(8,1),(9,1),(18,1),(21,1)}
      16:{2,4,6}:{(8,1),(10,1),(19,1),(22,1)}
      17:{1,2,6}:{(9,1),(10,1),(20,1)}
      18:{1,4}:{(11,1),(12,1),(29,1)}
      19:{2,4}:{(11,1),(13,1),(29,1)}
      20:{1,2,5}:{(12,1),(13,1),(17,1),(24,1)}
      21:{1,5}:{(14,1),(15,1)}
      22:{2,5}:{(14,1),(16,1)}
      23:{1,2,4,6}:{(15,1),(16,1),(17,1),(24,1),(25,1),(26,1),(29,1)}
      24:{1,2,4}:{(18,1),(19,1),(20,1),(27,1)}
      25:{1,2,5}:{(21,1),(22,1),(23,1),(28,1)}
      26:{3,6}:{(23,1),(27,1),(28,1)}
      27:{3}:{(24,1)}
      28:{3,5}:{(25,1),(26,1),(29,1)}
      29:{4}:{(28,1)}

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

183 :  0:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(15,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(16,1),(17,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(20,1),(21,1),(22,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,5,6}:{(4,1),(5,1),(13,1)}
       9:{3,4,5}:{(5,1),(13,1),(16,1),(17,1),(26,1)}
      10:{1,3,5}:{(5,1),(6,1),(16,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(17,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,3,5,6}:{(8,1),(10,1),(20,1),(22,1),(28,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(28,1)}
      16:{1,4,5}:{(9,1),(10,1),(20,1)}
      17:{2,4,5}:{(9,1),(11,1),(21,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(18,1),(25,1)}
      23:{1,2,4,5}:{(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(23,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

184 :  0:{1,3,5}:{(4,1),(5,1),(6,1),(11,1),(25,1),(29,1),(52,1)}
       1:{2,3,5}:{(4,1),(7,1),(8,1),(9,1),(25,1),(32,1),(52,1)}
       2:{2,4,5}:{(7,1),(9,1),(10,1),(32,1),(56,1)}
       3:{1,4,5}:{(5,1),(11,1),(12,1),(29,1),(54,1)}
       4:{1,2,5}:{(0,1),(1,1),(13,1),(14,1),(19,1),(22,1)}
       5:{1,4}:{(0,1),(15,1),(62,1)}
       6:{1,3,6}:{(0,1),(14,1),(16,1),(23,1),(39,1),(82,1)}
       7:{2,4}:{(1,1),(17,1),(62,1)}
       8:{2,3,6}:{(1,1),(14,1),(18,1),(20,1),(39,1),(83,1)}
       9:{3,5}:{(2,1),(17,1),(19,1),(20,1)}
      10:{2,4,6}:{(2,1),(20,1),(21,1),(46,1)}
      11:{3,5}:{(3,1),(15,1),(22,1),(23,1)}
      12:{1,4,6}:{(3,1),(23,1),(24,1),(48,1)}
      13:{1,2,4}:{(4,1),(5,1),(7,1),(25,1),(27,1),(30,1),(49,1)}
      14:{1,2,6}:{(4,1),(6,1),(8,1),(33,1),(35,1),(84,1)}
      15:{3,4}:{(5,1),(11,1),(25,1),(27,1)}
      16:{1,4,6}:{(5,1),(6,1),(28,1),(29,1),(73,1),(81,1)}
      17:{3,4}:{(7,1),(9,1),(25,1),(30,1)}
      18:{2,4,6}:{(7,1),(8,1),(31,1),(32,1),(72,1),(80,1)}
      19:{1,5}:{(9,1),(30,1),(33,1)}
      20:{3,6}:{(9,1),(10,1),(33,1)}
      21:{2,5,6}:{(10,1),(32,1),(34,1),(72,1)}
      22:{2,5}:{(11,1),(27,1),(35,1)}
      23:{3,6}:{(11,1),(12,1),(35,1)}
      24:{1,5,6}:{(12,1),(29,1),(36,1),(73,1)}
      25:{3}:{(13,1)}
      26:{1,2,4,6}:{(13,1),(14,1),(16,1),(18,1),(39,1),(40,1),(41,1),(43,1),(59,1),(62,1),(74,1)}
      27:{2,4}:{(15,1),(22,1),(38,1)}
      28:{3,4,6}:{(15,1),(16,1),(23,1),(39,1),(41,1),(42,1),(48,1),(62,1),(66,1),(76,1)}
      29:{1,5}:{(16,1),(42,1)}
      30:{1,4}:{(17,1),(19,1),(37,1)}
      31:{3,4,6}:{(17,1),(18,1),(20,1),(39,1),(43,1),(44,1),(46,1),(62,1),(65,1),(75,1)}
      32:{2,5}:{(18,1),(44,1)}
      33:{1,6}:{(19,1),(20,1)}
      34:{3,5,6}:{(20,1),(21,1),(44,1),(45,1),(46,1),(65,1)}
      35:{2,6}:{(22,1),(23,1)}
      36:{3,5,6}:{(23,1),(24,1),(42,1),(47,1),(48,1),(66,1)}
      37:{1,3}:{(25,1),(30,1),(49,1)}
      38:{2,3}:{(25,1),(27,1),(49,1)}
      39:{3,6}:{(25,1),(26,1),(52,1),(79,1)}
      40:{1,2,5}:{(26,1),(29,1),(32,1),(52,1),(53,1),(55,1)}
      41:{2,4,6}:{(27,1),(28,1),(35,1),(51,1),(53,1),(69,1)}
      42:{3,5}:{(28,1),(29,1),(53,1),(54,1)}
      43:{1,4,6}:{(30,1),(31,1),(33,1),(50,1),(55,1),(68,1)}
      44:{3,5}:{(31,1),(32,1),(55,1),(56,1)}
      45:{1,5,6}:{(33,1),(34,1),(55,1),(57,1)}
      46:{4,6}:{(34,1),(56,1)}
      47:{2,5,6}:{(35,1),(36,1),(53,1),(58,1)}
      48:{4,6}:{(36,1),(54,1)}
      49:{1,2}:{(37,1),(38,1)}
      50:{1,3,6}:{(37,1),(39,1),(43,1),(59,1),(60,1),(65,1)}
      51:{2,3,6}:{(38,1),(39,1),(41,1),(59,1),(61,1),(66,1)}
      52:{3,5}:{(39,1),(40,1),(62,1)}
      53:{2,5}:{(41,1),(42,1)}
      54:{4,5}:{(42,1),(48,1),(62,1)}
      55:{1,5}:{(43,1),(44,1)}
      56:{4,5}:{(44,1),(46,1),(62,1)}
      57:{1,4,6}:{(45,1),(46,1),(64,1),(65,1)}
      58:{2,4,6}:{(47,1),(48,1),(63,1),(66,1)}
      59:{1,2,6}:{(49,1),(50,1),(51,1),(67,1),(72,1),(73,1)}
      60:{1,3,5}:{(50,1),(52,1),(55,1),(67,1),(68,1),(71,1),(79,1)}
      61:{2,3,5}:{(51,1),(52,1),(53,1),(67,1),(69,1),(70,1),(79,1)}
      62:{4}:{(52,1)}
      63:{2,4,5}:{(53,1),(54,1),(58,1),(69,1),(70,1)}
      64:{1,4,5}:{(55,1),(56,1),(57,1),(68,1),(71,1)}
      65:{3,6}:{(57,1),(71,1),(72,1)}
      66:{3,6}:{(58,1),(70,1),(73,1)}
      67:{1,2,5}:{(59,1),(60,1),(61,1),(74,1),(77,1),(78,1)}
      68:{1,4}:{(60,1),(62,1),(75,1)}
      69:{2,4}:{(61,1),(62,1),(76,1)}
      70:{3,5}:{(63,1),(66,1),(76,1),(77,1)}
      71:{3,5}:{(64,1),(65,1),(75,1),(78,1)}
      72:{2,6}:{(65,1),(78,1)}
      73:{1,6}:{(66,1),(77,1)}
      74:{1,2,4}:{(67,1),(68,1),(69,1),(79,1),(80,1),(81,1),(84,1)}
      75:{3,4}:{(68,1),(71,1),(79,1),(80,1)}
      76:{3,4}:{(69,1),(70,1),(79,1),(81,1)}
      77:{1,5}:{(70,1),(73,1),(81,1)}
      78:{2,5}:{(71,1),(72,1),(80,1)}
      79:{3}:{(74,1)}
      80:{2,4}:{(75,1),(78,1),(83,1)}
      81:{1,4}:{(76,1),(77,1),(82,1)}
      82:{1,3}:{(79,1),(81,1),(84,1)}
      83:{2,3}:{(79,1),(80,1),(84,1)}
      84:{1,2}:{(82,1),(83,1)}

185 :  0:{1,2,5,6}:{(2,1),(3,1),(22,1),(23,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(10,1),(12,1),(13,1),(16,1),(22,1),(23,1)}
       2:{3,5,6}:{(0,1),(5,1),(7,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(7,1),(18,1),(19,1),(21,1)}
       4:{3,5}:{(1,1),(6,1),(7,1)}
       5:{4,6}:{(2,1),(10,1)}
       6:{3,4}:{(4,1),(12,1),(13,1),(25,1)}
       7:{3,6}:{(3,1),(4,1)}
       8:{1,3,5}:{(4,1),(12,1),(14,1),(16,1),(22,1),(25,1),(28,1)}
       9:{2,3,5}:{(4,1),(13,1),(15,1),(16,1),(23,1),(25,1),(28,1)}
      10:{4,5}:{(5,1),(17,1),(29,1)}
      11:{3,4,6}:{(5,1),(6,1),(7,1),(17,1),(18,1),(19,1),(27,1),(29,1)}
      12:{1,4}:{(6,1),(8,1),(29,1)}
      13:{2,4}:{(6,1),(9,1),(29,1)}
      14:{1,3,6}:{(7,1),(8,1),(18,1),(21,1),(27,1)}
      15:{2,3,6}:{(7,1),(9,1),(19,1),(21,1),(27,1)}
      16:{1,2,5}:{(8,1),(9,1),(20,1),(21,1)}
      17:{3,5}:{(10,1),(11,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1),(22,1)}
      19:{2,4,6}:{(11,1),(13,1),(15,1),(23,1)}
      20:{1,2,4}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,2,6}:{(14,1),(15,1),(16,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,5}:{(17,1),(19,1)}
      24:{1,2,4,6}:{(18,1),(19,1),(20,1),(21,1),(26,1),(27,1),(29,1)}
      25:{3}:{(20,1)}
      26:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      27:{3,6}:{(24,1),(25,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

186 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(21,1),(23,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(16,1)}
       2:{1,3,5}:{(0,1),(5,1),(6,1),(17,1),(38,1)}
       3:{1,3,5,6}:{(2,1),(7,1),(8,1),(19,1),(21,1)}
       4:{2,3,6}:{(1,1),(9,1),(21,1)}
       5:{1,2,5}:{(1,1),(2,1),(9,1)}
       6:{1,4,5}:{(2,1),(8,1),(11,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(13,1),(14,1),(26,1),(38,1)}
       8:{1,4,6}:{(3,1),(6,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(16,1),(17,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(14,1),(16,1),(17,1),(18,1),(27,1),(31,1),(33,1),(38,1)}
      11:{3,4,5}:{(6,1),(15,1),(17,1),(18,1)}
      12:{1,4,5,6}:{(8,1),(19,1)}
      13:{2,3,5,6}:{(7,1),(9,1),(20,1),(21,1),(34,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1),(35,1),(36,1)}
      15:{3,4,6}:{(8,1),(11,1),(19,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(23,1)}
      17:{3,5}:{(10,1),(21,1),(23,1)}
      18:{2,4,5}:{(11,1),(22,1),(25,1)}
      19:{3,5,6}:{(12,1),(15,1),(26,1)}
      20:{2,4,6}:{(13,1),(16,1),(27,1),(28,1)}
      21:{3,6}:{(14,1),(17,1)}
      22:{2,4,6}:{(15,1),(18,1),(26,1),(30,1)}
      23:{3,4}:{(16,1),(17,1),(31,1)}
      24:{1,3,5}:{(17,1),(29,1),(31,1),(33,1),(38,1),(39,1)}
      25:{2,3,5}:{(17,1),(18,1),(30,1),(32,1),(33,1)}
      26:{2,5,6}:{(19,1),(22,1)}
      27:{2,4,5}:{(20,1),(34,1)}
      28:{3,4,6}:{(20,1),(21,1),(23,1),(34,1),(35,1)}
      29:{1,3,6}:{(21,1),(24,1),(35,1),(36,1)}
      30:{2,3,6}:{(21,1),(22,1),(25,1),(36,1)}
      31:{1,4}:{(23,1),(24,1)}
      32:{2,3,4}:{(23,1),(25,1),(37,1)}
      33:{1,2,5}:{(24,1),(25,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(28,1),(29,1),(31,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(37,1)}

187 :  0:{1,3,4}:{(2,1),(3,1),(32,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(24,1),(44,1)}
       2:{1,3,5}:{(0,1),(6,1),(8,1),(9,1),(24,1)}
       3:{1,2,4}:{(0,1),(9,1),(10,1),(26,1)}
       4:{4,5,6}:{(12,1),(41,1)}
       5:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(31,1),(41,1)}
       6:{1,4,5}:{(1,1),(2,1),(13,1)}
       7:{2,4,5}:{(1,1),(11,1),(14,1)}
       8:{1,3,6}:{(2,1),(13,1),(16,1),(31,1)}
       9:{1,2,5}:{(2,1),(3,1),(16,1),(17,1)}
      10:{2,3}:{(3,1)}
      11:{2,3,5}:{(7,1),(18,1),(19,1),(20,1),(24,1)}
      12:{3,5,6}:{(4,1),(5,1),(21,1),(22,1)}
      13:{1,4,6}:{(5,1),(6,1),(8,1),(21,1)}
      14:{2,4,6}:{(5,1),(7,1),(19,1),(22,1)}
      15:{1,2,4,5}:{(6,1),(7,1),(9,1),(20,1),(23,1),(24,1),(26,1),(36,1),(39,1),(43,1),(44,1)}
      16:{1,2,6}:{(8,1),(9,1),(25,1)}
      17:{2,3,5}:{(9,1),(10,1),(24,1),(25,1),(26,1),(39,1)}
      18:{2,3,4}:{(11,1),(27,1),(32,1)}
      19:{2,3,6}:{(11,1),(14,1),(28,1),(31,1)}
      20:{1,2,5}:{(11,1),(27,1),(28,1),(29,1)}
      21:{1,5,6}:{(12,1),(13,1)}
      22:{2,5,6}:{(12,1),(14,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(15,1),(16,1),(28,1),(30,1),(31,1),(33,1),(40,1),(41,1)}
      24:{3,5}:{(15,1),(31,1),(32,1)}
      25:{2,3,6}:{(16,1),(17,1),(31,1),(33,1)}
      26:{2,4}:{(17,1),(32,1)}
      27:{1,2,4}:{(18,1),(20,1),(34,1),(36,1)}
      28:{1,2,6}:{(19,1),(20,1),(35,1)}
      29:{1,3,5}:{(20,1),(24,1),(34,1),(35,1),(36,1),(43,1)}
      30:{1,2,5,6}:{(21,1),(22,1),(23,1),(37,1),(39,1),(43,1)}
      31:{3,6}:{(23,1),(24,1)}
      32:{3,4}:{(24,1),(26,1),(36,1)}
      33:{2,4,6}:{(25,1),(26,1),(38,1),(39,1)}
      34:{1,3}:{(27,1)}
      35:{1,3,6}:{(28,1),(29,1),(31,1),(40,1)}
      36:{1,4}:{(29,1),(32,1)}
      37:{3,5,6}:{(30,1),(31,1),(41,1),(42,1)}
      38:{3,4,6}:{(31,1),(32,1),(33,1),(40,1),(41,1),(42,1)}
      39:{2,5}:{(33,1),(42,1)}
      40:{1,4,6}:{(35,1),(36,1),(38,1),(43,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{1,5}:{(40,1),(42,1)}
      44:{4,5}:{(41,1),(42,1)}

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

189 :  0:{2,3,4}:{(2,1),(3,1),(32,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(24,1),(44,1)}
       2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(24,1)}
       3:{1,2,4}:{(0,1),(9,1),(10,1),(26,1)}
       4:{4,5,6}:{(12,1),(41,1)}
       5:{3,4,6}:{(1,1),(12,1),(13,1),(14,1),(31,1),(41,1)}
       6:{1,4,5}:{(1,1),(11,1),(13,1)}
       7:{2,4,5}:{(1,1),(2,1),(14,1)}
       8:{2,3,6}:{(2,1),(14,1),(16,1),(31,1)}
       9:{1,2,5}:{(2,1),(3,1),(16,1),(17,1)}
      10:{1,3}:{(3,1)}
      11:{1,3,5}:{(6,1),(18,1),(19,1),(20,1),(24,1)}
      12:{3,5,6}:{(4,1),(5,1),(21,1),(22,1)}
      13:{1,4,6}:{(5,1),(6,1),(19,1),(21,1)}
      14:{2,4,6}:{(5,1),(7,1),(8,1),(22,1)}
      15:{1,2,4,5}:{(6,1),(7,1),(9,1),(20,1),(23,1),(24,1),(26,1),(36,1),(39,1),(43,1),(44,1)}
      16:{1,2,6}:{(8,1),(9,1),(25,1)}
      17:{1,3,5}:{(9,1),(10,1),(24,1),(25,1),(26,1),(39,1)}
      18:{1,3,4}:{(11,1),(27,1),(32,1)}
      19:{1,3,6}:{(11,1),(13,1),(28,1),(31,1)}
      20:{1,2,5}:{(11,1),(27,1),(28,1),(29,1)}
      21:{1,5,6}:{(12,1),(13,1)}
      22:{2,5,6}:{(12,1),(14,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(15,1),(16,1),(28,1),(30,1),(31,1),(33,1),(40,1),(41,1)}
      24:{3,5}:{(15,1),(31,1),(32,1)}
      25:{1,3,6}:{(16,1),(17,1),(31,1),(33,1)}
      26:{1,4}:{(17,1),(32,1)}
      27:{1,2,4}:{(18,1),(20,1),(34,1),(36,1)}
      28:{1,2,6}:{(19,1),(20,1),(35,1)}
      29:{2,3,5}:{(20,1),(24,1),(34,1),(35,1),(36,1),(43,1)}
      30:{1,2,5,6}:{(21,1),(22,1),(23,1),(37,1),(39,1),(43,1)}
      31:{3,6}:{(23,1),(24,1)}
      32:{3,4}:{(24,1),(26,1),(36,1)}
      33:{1,4,6}:{(25,1),(26,1),(38,1),(39,1)}
      34:{2,3}:{(27,1)}
      35:{2,3,6}:{(28,1),(29,1),(31,1),(40,1)}
      36:{2,4}:{(29,1),(32,1)}
      37:{3,5,6}:{(30,1),(31,1),(41,1),(42,1)}
      38:{3,4,6}:{(31,1),(32,1),(33,1),(40,1),(41,1),(42,1)}
      39:{1,5}:{(33,1),(42,1)}
      40:{2,4,6}:{(35,1),(36,1),(38,1),(43,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{2,5}:{(40,1),(42,1)}
      44:{4,5}:{(41,1),(42,1)}

190 :  0:{1,2,4,5}:{(1,1),(2,1),(8,1),(9,1),(11,1),(23,1),(24,1),(25,1)}
       1:{3,5}:{(0,1),(3,1),(6,1)}
       2:{1,2,4,6}:{(0,1),(6,1),(7,1),(16,1),(17,1),(19,1),(20,1)}
       3:{3,4}:{(1,1),(8,1),(9,1),(21,1)}
       4:{1,3,5}:{(1,1),(8,1),(11,1),(12,1),(21,1),(23,1),(28,1)}
       5:{2,3,5}:{(1,1),(9,1),(11,1),(13,1),(21,1),(24,1),(28,1)}
       6:{3,6}:{(1,1),(2,1)}
       7:{1,2,5,6}:{(2,1),(14,1),(23,1),(24,1)}
       8:{1,4}:{(3,1),(4,1),(29,1)}
       9:{2,4}:{(3,1),(5,1),(29,1)}
      10:{3,4,6}:{(3,1),(6,1),(16,1),(17,1),(18,1),(20,1),(26,1),(29,1)}
      11:{1,2,5}:{(4,1),(5,1),(15,1),(19,1)}
      12:{1,3,6}:{(4,1),(6,1),(16,1),(19,1),(26,1)}
      13:{2,3,6}:{(5,1),(6,1),(17,1),(19,1),(26,1)}
      14:{3,5,6}:{(6,1),(7,1),(18,1),(20,1)}
      15:{1,2,4}:{(8,1),(9,1),(11,1),(21,1)}
      16:{1,4,6}:{(8,1),(10,1),(12,1),(23,1)}
      17:{2,4,6}:{(9,1),(10,1),(13,1),(24,1)}
      18:{3,5}:{(10,1),(23,1),(24,1),(25,1)}
      19:{1,2,6}:{(11,1),(12,1),(13,1)}
      20:{4,6}:{(14,1),(25,1)}
      21:{3}:{(15,1)}
      22:{1,2,4,6}:{(15,1),(16,1),(17,1),(19,1),(26,1),(27,1),(29,1)}
      23:{1,5}:{(16,1),(18,1)}
      24:{2,5}:{(17,1),(18,1)}
      25:{4,5}:{(18,1),(20,1),(29,1)}
      26:{3,6}:{(21,1),(22,1),(28,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

191 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(22,1),(44,1)}
       1:{4,5,6}:{(9,1),(40,1)}
       2:{3,4,6}:{(0,1),(9,1),(10,1),(11,1),(30,1),(40,1)}
       3:{1,4,5}:{(0,1),(7,1),(10,1)}
       4:{2,4,5}:{(0,1),(8,1),(11,1)}
       5:{1,3,4}:{(7,1),(13,1),(31,1)}
       6:{2,3,4}:{(8,1),(14,1),(31,1)}
       7:{1,3,5}:{(3,1),(5,1),(15,1),(16,1),(22,1)}
       8:{2,3,5}:{(4,1),(6,1),(17,1),(18,1),(22,1)}
       9:{3,5,6}:{(1,1),(2,1),(19,1),(20,1)}
      10:{1,4,6}:{(2,1),(3,1),(15,1),(19,1)}
      11:{2,4,6}:{(2,1),(4,1),(17,1),(20,1)}
      12:{1,2,4,5}:{(3,1),(4,1),(16,1),(18,1),(21,1),(22,1),(33,1),(35,1),(42,1),(43,1),(44,1)}
      13:{1,2,4}:{(5,1),(16,1),(23,1),(33,1)}
      14:{1,2,4}:{(6,1),(18,1),(24,1),(35,1)}
      15:{1,3,6}:{(7,1),(10,1),(25,1),(30,1)}
      16:{1,2,5}:{(7,1),(13,1),(25,1),(26,1)}
      17:{2,3,6}:{(8,1),(11,1),(27,1),(30,1)}
      18:{1,2,5}:{(8,1),(14,1),(27,1),(28,1)}
      19:{1,5,6}:{(9,1),(10,1)}
      20:{2,5,6}:{(9,1),(11,1)}
      21:{1,2,4,6}:{(10,1),(11,1),(12,1),(25,1),(27,1),(29,1),(30,1),(38,1),(39,1),(40,1)}
      22:{3,5}:{(12,1),(30,1),(31,1)}
      23:{2,3}:{(13,1)}
      24:{1,3}:{(14,1)}
      25:{1,2,6}:{(15,1),(16,1),(32,1)}
      26:{2,3,5}:{(16,1),(22,1),(23,1),(32,1),(33,1),(42,1)}
      27:{1,2,6}:{(17,1),(18,1),(34,1)}
      28:{1,3,5}:{(18,1),(22,1),(24,1),(34,1),(35,1),(43,1)}
      29:{1,2,5,6}:{(19,1),(20,1),(21,1),(36,1),(42,1),(43,1)}
      30:{3,6}:{(21,1),(22,1)}
      31:{3,4}:{(22,1),(33,1),(35,1)}
      32:{2,3,6}:{(25,1),(26,1),(30,1),(38,1)}
      33:{2,4}:{(26,1),(31,1)}
      34:{1,3,6}:{(27,1),(28,1),(30,1),(39,1)}
      35:{1,4}:{(28,1),(31,1)}
      36:{3,5,6}:{(29,1),(30,1),(40,1),(41,1)}
      37:{3,4,6}:{(30,1),(31,1),(38,1),(39,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(33,1),(37,1),(42,1)}
      39:{1,4,6}:{(34,1),(35,1),(37,1),(43,1)}
      40:{4,6}:{(36,1),(44,1)}
      41:{3,5}:{(37,1),(42,1),(43,1),(44,1)}
      42:{2,5}:{(38,1),(41,1)}
      43:{1,5}:{(39,1),(41,1)}
      44:{4,5}:{(40,1),(41,1)}

192 :  0:{4,5,6}:{(1,1),(30,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1),(5,1)}
       2:{3,4,5}:{(3,1),(6,1),(7,1),(24,1),(37,1)}
       3:{3,4,6}:{(1,1),(2,1),(10,1),(11,1),(29,1),(30,1)}
       4:{1,5,6}:{(1,1),(10,1)}
       5:{2,5,6}:{(1,1),(11,1)}
       6:{1,4,5}:{(2,1),(10,1),(13,1)}
       7:{2,4,5}:{(2,1),(11,1),(14,1)}
       8:{1,3,4}:{(13,1),(16,1),(33,1)}
       9:{2,3,4}:{(14,1),(17,1),(33,1)}
      10:{1,4,6}:{(3,1),(4,1),(6,1),(18,1)}
      11:{2,4,6}:{(3,1),(5,1),(7,1),(19,1)}
      12:{1,2,5,6}:{(4,1),(5,1),(20,1),(21,1),(43,1),(44,1)}
      13:{1,3,5}:{(6,1),(8,1),(18,1),(22,1),(24,1)}
      14:{2,3,5}:{(7,1),(9,1),(19,1),(23,1),(24,1)}
      15:{1,2,4,5}:{(6,1),(7,1),(20,1),(22,1),(23,1),(24,1),(37,1),(38,1),(39,1),(43,1),(44,1)}
      16:{1,2,4}:{(8,1),(22,1),(25,1),(38,1)}
      17:{1,2,4}:{(9,1),(23,1),(26,1),(39,1)}
      18:{1,3,6}:{(10,1),(13,1),(27,1),(29,1)}
      19:{2,3,6}:{(11,1),(14,1),(28,1),(29,1)}
      20:{1,2,4,6}:{(10,1),(11,1),(12,1),(15,1),(27,1),(28,1),(29,1),(30,1),(40,1),(41,1)}
      21:{3,5,6}:{(12,1),(29,1),(30,1),(42,1)}
      22:{1,2,5}:{(13,1),(16,1),(27,1),(31,1)}
      23:{1,2,5}:{(14,1),(17,1),(28,1),(32,1)}
      24:{3,5}:{(15,1),(29,1),(33,1)}
      25:{2,3}:{(16,1)}
      26:{1,3}:{(17,1)}
      27:{1,2,6}:{(18,1),(22,1),(34,1)}
      28:{1,2,6}:{(19,1),(23,1),(35,1)}
      29:{3,6}:{(20,1),(24,1)}
      30:{4,6}:{(21,1),(37,1)}
      31:{2,3,5}:{(22,1),(24,1),(25,1),(34,1),(38,1),(43,1)}
      32:{1,3,5}:{(23,1),(24,1),(26,1),(35,1),(39,1),(44,1)}
      33:{3,4}:{(24,1),(38,1),(39,1)}
      34:{2,3,6}:{(27,1),(29,1),(31,1),(40,1)}
      35:{1,3,6}:{(28,1),(29,1),(32,1),(41,1)}
      36:{3,4,6}:{(29,1),(30,1),(33,1),(40,1),(41,1),(42,1)}
      37:{4,5}:{(30,1),(42,1)}
      38:{2,4}:{(31,1),(33,1)}
      39:{1,4}:{(32,1),(33,1)}
      40:{2,4,6}:{(34,1),(36,1),(38,1),(43,1)}
      41:{1,4,6}:{(35,1),(36,1),(39,1),(44,1)}
      42:{3,5}:{(36,1),(37,1),(43,1),(44,1)}
      43:{2,5}:{(40,1),(42,1)}
      44:{1,5}:{(41,1),(42,1)}

193 :  0:{1,2,3,5}:{(1,1),(2,1),(6,1),(9,1),(12,1),(26,1)}
       1:{1,2,4}:{(0,1),(3,1)}
       2:{1,2,3,6}:{(0,1),(5,1),(18,1),(37,1)}
       3:{3,4}:{(1,1),(9,1)}
       4:{1,2,4,5}:{(1,1),(9,1),(11,1),(12,1),(23,1),(24,1),(26,1),(30,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1)}
       6:{1,2,3}:{(15,1)}
       7:{2,3,4}:{(3,1),(15,1),(16,1),(31,1)}
       8:{1,3,4}:{(3,1),(15,1),(17,1),(31,1)}
       9:{3,5}:{(3,1),(4,1),(18,1)}
      10:{3,4,6}:{(3,1),(5,1),(18,1),(19,1),(38,1)}
      11:{1,2,4,6}:{(4,1),(18,1),(20,1),(34,1),(35,1),(37,1),(38,1)}
      12:{1,2,5}:{(5,1),(19,1)}
      13:{1,2,3,5}:{(6,1),(21,1),(22,1),(26,1),(39,1),(42,1)}
      14:{3,4,5}:{(9,1),(23,1),(24,1),(25,1),(30,1),(39,1),(50,1)}
      15:{1,2,4}:{(6,1),(7,1),(8,1),(26,1)}
      16:{2,3,5}:{(7,1),(9,1),(23,1),(26,1),(27,1),(39,1)}
      17:{1,3,5}:{(8,1),(9,1),(24,1),(26,1),(28,1),(39,1)}
      18:{3,6}:{(9,1),(11,1)}
      19:{3,5}:{(10,1),(12,1),(30,1)}
      20:{1,2,5,6}:{(11,1),(12,1),(29,1),(43,1),(44,1)}
      21:{1,2,4}:{(13,1),(31,1)}
      22:{1,2,3,6}:{(13,1),(33,1),(37,1),(46,1)}
      23:{2,4,5}:{(14,1),(16,1),(34,1)}
      24:{1,4,5}:{(14,1),(17,1),(35,1)}
      25:{3,4,6}:{(14,1),(18,1),(34,1),(35,1),(36,1),(38,1),(46,1),(51,1)}
      26:{1,2,5}:{(15,1),(16,1),(17,1),(37,1)}
      27:{2,3,6}:{(16,1),(18,1),(34,1),(37,1),(46,1)}
      28:{1,3,6}:{(17,1),(18,1),(35,1),(37,1),(46,1)}
      29:{3,5,6}:{(18,1),(19,1),(20,1),(38,1)}
      30:{4,5}:{(19,1),(38,1)}
      31:{3,4}:{(21,1),(39,1)}
      32:{1,2,4,5}:{(21,1),(23,1),(24,1),(26,1),(39,1),(41,1),(42,1),(50,1)}
      33:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
      34:{2,4,6}:{(23,1),(25,1),(27,1),(43,1)}
      35:{1,4,6}:{(24,1),(25,1),(28,1),(44,1)}
      36:{3,5,6}:{(25,1),(43,1),(44,1),(45,1)}
      37:{1,2,6}:{(26,1),(27,1),(28,1)}
      38:{4,6}:{(29,1),(30,1)}
      39:{3,5}:{(31,1),(32,1),(46,1)}
      40:{3,4,6}:{(31,1),(33,1),(46,1),(47,1),(51,1)}
      41:{1,2,4,6}:{(32,1),(34,1),(35,1),(37,1),(46,1),(48,1),(51,1)}
      42:{1,2,5}:{(33,1),(47,1)}
      43:{2,5,6}:{(34,1),(36,1)}
      44:{1,5,6}:{(35,1),(36,1)}
      45:{4,5,6}:{(36,1),(38,1),(51,1)}
      46:{3,6}:{(39,1),(41,1)}
      47:{3,5}:{(40,1),(42,1),(50,1)}
      48:{1,2,5,6}:{(41,1),(42,1),(43,1),(44,1),(49,1)}
      49:{3,5,6}:{(46,1),(47,1),(48,1),(51,1)}
      50:{4,5}:{(47,1),(51,1)}
      51:{4,6}:{(49,1),(50,1)}

194 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(13,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(12,1),(13,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(7,1),(17,1),(18,1),(27,1)}
       3:{1,4,6}:{(0,1),(5,1),(8,1),(25,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(26,1)}
       5:{1,4,5}:{(3,1),(11,1)}
       6:{2,4,5}:{(4,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(13,1),(14,1),(15,1),(24,1),(28,1)}
       8:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(21,1)}
       9:{3,4,6}:{(4,1),(12,1),(13,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(7,1),(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      11:{3,5}:{(5,1),(8,1),(17,1)}
      12:{3,5}:{(6,1),(9,1),(18,1)}
      13:{3,6}:{(7,1),(16,1),(29,1)}
      14:{2,4,6}:{(8,1),(17,1),(20,1),(26,1)}
      15:{1,4,6}:{(9,1),(18,1),(19,1),(25,1)}
      16:{3,5}:{(10,1),(13,1),(21,1)}
      17:{2,5}:{(11,1),(14,1)}
      18:{1,5}:{(12,1),(15,1)}
      19:{1,3,6}:{(13,1),(15,1),(22,1),(24,1)}
      20:{2,3,6}:{(13,1),(14,1),(23,1),(24,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(18,1),(19,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(17,1),(20,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(19,1),(20,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

195 :  0:{1,2,3,6}:{(1,1),(2,1),(18,1),(34,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1)}
       2:{1,2,3,5}:{(0,1),(4,1),(5,1),(13,1),(28,1),(29,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(16,1),(18,1)}
       4:{1,2,5}:{(1,1),(6,1)}
       5:{1,2,4}:{(2,1),(9,1)}
       6:{3,5}:{(3,1),(4,1),(11,1)}
       7:{1,2,5,6}:{(4,1),(10,1),(12,1),(36,1),(37,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(11,1),(12,1),(13,1),(24,1),(25,1),(28,1)}
       9:{3,4}:{(5,1),(13,1)}
      10:{3,5,6}:{(6,1),(7,1),(16,1),(18,1)}
      11:{4,5}:{(6,1),(16,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(16,1),(18,1),(31,1),(32,1),(34,1)}
      13:{3,5}:{(8,1),(9,1),(18,1)}
      14:{1,3,4}:{(9,1),(19,1),(21,1),(44,1)}
      15:{2,3,4}:{(9,1),(20,1),(21,1),(44,1)}
      16:{4,6}:{(10,1),(11,1)}
      17:{3,4,5}:{(11,1),(13,1),(23,1),(24,1),(25,1),(39,1),(51,1)}
      18:{3,6}:{(12,1),(13,1)}
      19:{1,3,5}:{(13,1),(14,1),(24,1),(26,1),(28,1),(39,1)}
      20:{2,3,5}:{(13,1),(15,1),(25,1),(27,1),(28,1),(39,1)}
      21:{1,2,4}:{(14,1),(15,1),(28,1),(29,1)}
      22:{4,5,6}:{(16,1),(30,1),(49,1)}
      23:{3,4,6}:{(16,1),(17,1),(18,1),(30,1),(31,1),(32,1),(43,1),(49,1)}
      24:{1,4,5}:{(17,1),(19,1),(31,1)}
      25:{2,4,5}:{(17,1),(20,1),(32,1)}
      26:{1,3,6}:{(18,1),(19,1),(31,1),(34,1),(43,1)}
      27:{2,3,6}:{(18,1),(20,1),(32,1),(34,1),(43,1)}
      28:{1,2,5}:{(19,1),(20,1),(21,1),(34,1)}
      29:{1,2,3}:{(21,1)}
      30:{3,5,6}:{(22,1),(23,1),(36,1),(37,1)}
      31:{1,4,6}:{(23,1),(24,1),(26,1),(36,1)}
      32:{2,4,6}:{(23,1),(25,1),(27,1),(37,1)}
      33:{1,2,4,5}:{(24,1),(25,1),(28,1),(38,1),(39,1),(41,1),(48,1),(51,1)}
      34:{1,2,6}:{(26,1),(27,1),(28,1)}
      35:{1,2,3,5}:{(28,1),(29,1),(39,1),(40,1),(41,1),(48,1)}
      36:{1,5,6}:{(30,1),(31,1)}
      37:{2,5,6}:{(30,1),(32,1)}
      38:{1,2,4,6}:{(31,1),(32,1),(33,1),(34,1),(42,1),(43,1),(49,1)}
      39:{3,5}:{(33,1),(43,1),(44,1)}
      40:{1,2,3,6}:{(34,1),(35,1),(43,1),(45,1)}
      41:{1,2,4}:{(35,1),(44,1)}
      42:{1,2,5,6}:{(36,1),(37,1),(38,1),(46,1),(48,1)}
      43:{3,6}:{(38,1),(39,1)}
      44:{3,4}:{(39,1),(41,1)}
      45:{1,2,4,6}:{(40,1),(41,1),(47,1),(48,1)}
      46:{3,5,6}:{(42,1),(43,1),(49,1),(50,1)}
      47:{3,4,6}:{(43,1),(44,1),(45,1),(49,1),(50,1)}
      48:{1,2,5}:{(45,1),(50,1)}
      49:{4,6}:{(46,1),(51,1)}
      50:{3,5}:{(47,1),(48,1),(51,1)}
      51:{4,5}:{(49,1),(50,1)}

196 : 0:{1,2,3}:{(1,1)}
      1:{1,2,4}:{(0,1),(2,1),(3,1)}
      2:{3,4}:{(1,1),(4,1)}
      3:{1,2,5}:{(1,1),(4,1),(5,1)}
      4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
      5:{1,2,6}:{(3,1),(7,1)}
      6:{4,5}:{(4,1),(8,1)}
      7:{3,6}:{(4,1),(5,1),(8,1)}
      8:{4,6}:{(6,1),(7,1),(9,1)}
      9:{5,6}:{(8,1)}

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

198 :  0:{2,3,4}:{(2,1),(3,1),(31,1)}
       1:{3,4,5}:{(4,1),(5,1),(6,1),(21,1),(44,1)}
       2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1),(21,1)}
       3:{1,2,4}:{(0,1),(7,1),(9,1),(26,1)}
       4:{1,4,5}:{(1,1),(11,1),(13,1)}
       5:{2,4,5}:{(1,1),(2,1),(14,1)}
       6:{3,4,6}:{(1,1),(13,1),(14,1),(15,1),(32,1),(42,1)}
       7:{1,2,5}:{(2,1),(3,1),(16,1),(17,1)}
       8:{2,3,6}:{(2,1),(14,1),(17,1),(32,1)}
       9:{1,3}:{(3,1)}
      10:{1,3,4}:{(11,1),(18,1),(31,1)}
      11:{1,3,5}:{(4,1),(10,1),(19,1),(20,1),(21,1)}
      12:{1,2,4,5}:{(4,1),(5,1),(7,1),(19,1),(21,1),(22,1),(26,1),(35,1),(39,1),(43,1),(44,1)}
      13:{1,4,6}:{(4,1),(6,1),(20,1),(23,1)}
      14:{2,4,6}:{(5,1),(6,1),(8,1),(24,1)}
      15:{3,5,6}:{(6,1),(23,1),(24,1),(25,1)}
      16:{1,3,5}:{(7,1),(9,1),(21,1),(26,1),(27,1),(39,1)}
      17:{1,2,6}:{(7,1),(8,1),(27,1)}
      18:{1,2,4}:{(10,1),(19,1),(28,1),(35,1)}
      19:{1,2,5}:{(11,1),(18,1),(29,1),(30,1)}
      20:{1,3,6}:{(11,1),(13,1),(30,1),(32,1)}
      21:{3,5}:{(12,1),(31,1),(32,1)}
      22:{1,2,4,6}:{(12,1),(13,1),(14,1),(17,1),(30,1),(32,1),(33,1),(34,1),(40,1),(42,1)}
      23:{1,5,6}:{(13,1),(15,1)}
      24:{2,5,6}:{(14,1),(15,1)}
      25:{4,5,6}:{(15,1),(42,1)}
      26:{1,4}:{(16,1),(31,1)}
      27:{1,3,6}:{(16,1),(17,1),(32,1),(34,1)}
      28:{2,3}:{(18,1)}
      29:{2,3,5}:{(19,1),(21,1),(28,1),(35,1),(36,1),(43,1)}
      30:{1,2,6}:{(19,1),(20,1),(36,1)}
      31:{3,4}:{(21,1),(26,1),(35,1)}
      32:{3,6}:{(21,1),(22,1)}
      33:{1,2,5,6}:{(22,1),(23,1),(24,1),(38,1),(39,1),(43,1)}
      34:{1,4,6}:{(26,1),(27,1),(37,1),(39,1)}
      35:{2,4}:{(29,1),(31,1)}
      36:{2,3,6}:{(29,1),(30,1),(32,1),(40,1)}
      37:{3,4,6}:{(31,1),(32,1),(34,1),(40,1),(41,1),(42,1)}
      38:{3,5,6}:{(32,1),(33,1),(41,1),(42,1)}
      39:{1,5}:{(34,1),(41,1)}
      40:{2,4,6}:{(35,1),(36,1),(37,1),(43,1)}
      41:{3,5}:{(37,1),(39,1),(43,1),(44,1)}
      42:{4,6}:{(38,1),(44,1)}
      43:{2,5}:{(40,1),(41,1)}
      44:{4,5}:{(41,1),(42,1)}

199 :  0:{1,2,3}:{(2,1)}
       1:{2,3,4}:{(2,1),(4,1),(14,1)}
       2:{1,2,4}:{(0,1),(1,1),(5,1),(6,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(8,1),(20,1),(25,1),(42,1),(46,1)}
       4:{2,3,5}:{(1,1),(6,1),(9,1),(10,1),(20,1)}
       5:{1,3,4}:{(2,1),(11,1),(14,1)}
       6:{1,2,5}:{(2,1),(4,1),(11,1),(13,1)}
       7:{1,2,4}:{(3,1),(14,1)}
       8:{1,2,3,6}:{(3,1),(13,1),(15,1),(33,1),(52,1)}
       9:{2,4,5}:{(4,1),(16,1),(17,1)}
      10:{2,3,6}:{(4,1),(13,1),(17,1),(33,1)}
      11:{1,3,5}:{(5,1),(6,1),(18,1),(19,1),(20,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(9,1),(18,1),(20,1),(21,1),(25,1),(26,1),(39,1),(42,1),(47,1)}
      13:{1,2,6}:{(6,1),(10,1),(19,1)}
      14:{3,4}:{(7,1),(20,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1)}
      16:{3,4,5}:{(9,1),(20,1),(26,1),(27,1),(47,1)}
      17:{2,4,6}:{(9,1),(10,1),(27,1),(28,1)}
      18:{1,4,5}:{(11,1),(29,1),(30,1)}
      19:{1,3,6}:{(11,1),(13,1),(30,1),(33,1)}
      20:{3,5}:{(12,1),(14,1),(33,1)}
      21:{1,2,4,6}:{(12,1),(13,1),(17,1),(30,1),(33,1),(34,1),(37,1),(50,1),(52,1),(53,1)}
      22:{1,3,4}:{(14,1),(31,1),(35,1)}
      23:{2,3,4}:{(14,1),(32,1),(35,1)}
      24:{3,4,6}:{(14,1),(15,1),(33,1),(36,1),(53,1)}
      25:{1,2,5}:{(15,1),(36,1)}
      26:{1,4,5}:{(16,1),(31,1),(37,1)}
      27:{3,4,6}:{(16,1),(17,1),(33,1),(37,1),(38,1),(53,1)}
      28:{2,5,6}:{(17,1),(38,1)}
      29:{3,4,5}:{(18,1),(20,1),(39,1),(40,1),(47,1)}
      30:{1,4,6}:{(18,1),(19,1),(40,1),(41,1)}
      31:{1,3,5}:{(20,1),(22,1),(26,1),(42,1),(43,1)}
      32:{2,3,5}:{(20,1),(23,1),(39,1),(42,1),(44,1)}
      33:{3,6}:{(20,1),(21,1)}
      34:{1,2,5,6}:{(21,1),(25,1),(28,1),(41,1),(45,1),(48,1),(54,1)}
      35:{1,2,4}:{(22,1),(23,1),(42,1),(46,1)}
      36:{3,5}:{(24,1),(25,1),(47,1)}
      37:{1,4,6}:{(26,1),(27,1),(43,1),(48,1)}
      38:{3,5,6}:{(27,1),(28,1),(48,1),(49,1)}
      39:{2,4,5}:{(29,1),(32,1),(50,1)}
      40:{3,4,6}:{(29,1),(30,1),(33,1),(50,1),(51,1),(53,1)}
      41:{1,5,6}:{(30,1),(51,1)}
      42:{1,2,5}:{(31,1),(32,1),(35,1),(52,1)}
      43:{1,3,6}:{(31,1),(33,1),(37,1),(52,1)}
      44:{2,3,6}:{(32,1),(33,1),(50,1),(52,1)}
      45:{3,5,6}:{(33,1),(34,1),(36,1),(53,1)}
      46:{1,2,3}:{(35,1)}
      47:{4,5}:{(36,1),(53,1)}
      48:{1,5,6}:{(37,1),(38,1)}
      49:{4,5,6}:{(38,1),(53,1)}
      50:{2,4,6}:{(39,1),(40,1),(44,1),(54,1)}
      51:{3,5,6}:{(40,1),(41,1),(54,1),(55,1)}
      52:{1,2,6}:{(42,1),(43,1),(44,1)}
      53:{4,6}:{(45,1),(47,1)}
      54:{2,5,6}:{(50,1),(51,1)}
      55:{4,5,6}:{(51,1),(53,1)}

200 :  0:{1,4,5,6}:{(2,1),(13,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(13,1),(28,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{1,3,5}:{(1,1),(9,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(28,1)}
       7:{1,3,5,6}:{(2,1),(4,1),(13,1),(15,1),(28,1)}
       8:{2,5,6}:{(2,1),(14,1)}
       9:{1,4,5}:{(3,1),(4,1),(13,1)}
      10:{2,4,5}:{(3,1),(14,1),(16,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{2,3,6}:{(5,1),(18,1),(28,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1),(20,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(21,1),(22,1),(39,1)}
      16:{2,3,5}:{(10,1),(19,1),(20,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(21,1),(23,1),(24,1),(25,1),(35,1),(36,1),(39,1)}
      18:{2,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{2,3,4}:{(16,1),(26,1),(31,1)}
      20:{2,3,6}:{(14,1),(16,1),(27,1),(28,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(27,1),(28,1),(29,1),(37,1)}
      22:{2,3,5,6}:{(15,1),(18,1),(28,1),(29,1),(38,1)}
      23:{1,2,5}:{(16,1),(26,1),(27,1),(30,1)}
      24:{3,5}:{(17,1),(28,1),(31,1)}
      25:{2,4}:{(18,1),(31,1)}
      26:{1,2,4}:{(19,1),(23,1),(32,1),(36,1)}
      27:{1,2,6}:{(20,1),(23,1),(33,1)}
      28:{3,6}:{(21,1),(24,1)}
      29:{2,4,6}:{(22,1),(25,1),(34,1),(35,1)}
      30:{1,3,5}:{(23,1),(24,1),(32,1),(33,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{1,3}:{(26,1)}
      33:{1,3,6}:{(27,1),(28,1),(30,1),(37,1)}
      34:{3,4,6}:{(28,1),(29,1),(31,1),(37,1),(38,1)}
      35:{2,4,5}:{(29,1),(38,1)}
      36:{1,4}:{(30,1),(31,1)}
      37:{1,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

201 : 0:{1,4,6}:{(1,1),(2,1),(6,1)}
      1:{3,6}:{(0,1),(3,1),(4,1)}
      2:{1,5}:{(0,1),(4,1),(9,1)}
      3:{2,6}:{(1,1),(5,1)}
      4:{3,5}:{(1,1),(2,1),(5,1),(6,1),(8,1)}
      5:{2,5}:{(3,1),(4,1),(7,1)}
      6:{4}:{(4,1)}
      7:{2,4}:{(5,1),(6,1),(8,1)}
      8:{3}:{(7,1),(9,1)}
      9:{1}:{(8,1)}

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

203 :  0:{2,4,5,6}:{(1,1),(7,1)}
       1:{3,5,6}:{(0,1),(2,1),(3,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(20,1)}
       3:{1,5,6}:{(1,1),(6,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(16,1),(20,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(25,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(11,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(14,1),(24,1),(39,1)}
       9:{1,4,5}:{(5,1),(6,1),(15,1)}
      10:{2,4,5}:{(5,1),(7,1),(16,1)}
      11:{1,3,6}:{(6,1),(15,1),(18,1),(20,1)}
      12:{2,3,4,6}:{(7,1),(16,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(18,1),(20,1),(21,1),(34,1)}
      14:{1,3,5,6}:{(8,1),(20,1),(21,1),(32,1),(35,1)}
      15:{1,3,5}:{(9,1),(11,1),(22,1),(23,1),(25,1)}
      16:{2,3,5}:{(10,1),(12,1),(24,1),(25,1),(39,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(13,1),(23,1),(24,1),(25,1),(29,1),(37,1),(38,1),(39,1)}
      18:{1,2,6}:{(11,1),(23,1),(26,1)}
      19:{1,2,4,6}:{(12,1),(24,1),(27,1),(38,1)}
      20:{3,6}:{(13,1),(25,1)}
      21:{1,4,6}:{(14,1),(28,1),(29,1),(38,1)}
      22:{1,3,4}:{(15,1),(30,1),(33,1)}
      23:{1,2,5}:{(15,1),(18,1),(30,1),(31,1)}
      24:{1,2,5}:{(16,1),(19,1),(32,1)}
      25:{3,5}:{(17,1),(20,1),(33,1)}
      26:{2,3,6}:{(18,1),(20,1),(31,1),(34,1)}
      27:{1,3,6}:{(19,1),(20,1),(32,1)}
      28:{3,4,6}:{(20,1),(21,1),(33,1),(34,1),(35,1)}
      29:{1,4,5}:{(21,1),(35,1)}
      30:{1,2,4}:{(22,1),(23,1),(36,1),(37,1)}
      31:{2,3,5}:{(23,1),(25,1),(26,1),(36,1),(37,1),(39,1)}
      32:{1,3,5}:{(24,1),(25,1),(27,1),(38,1)}
      33:{3,4}:{(25,1),(37,1),(38,1)}
      34:{2,4,6}:{(26,1),(28,1),(37,1),(39,1)}
      35:{3,5}:{(28,1),(29,1),(39,1)}
      36:{2,3}:{(30,1)}
      37:{2,4}:{(31,1),(33,1)}
      38:{1,4}:{(32,1),(33,1)}
      39:{2,5}:{(34,1),(35,1)}

204 :  0:{1,2,5,6}:{(2,1),(3,1),(22,1),(23,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(10,1),(12,1),(13,1),(16,1),(22,1),(23,1)}
       2:{3,5,6}:{(0,1),(5,1),(7,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(7,1),(18,1),(19,1),(21,1)}
       4:{3,5}:{(1,1),(6,1),(7,1)}
       5:{4,6}:{(2,1),(10,1)}
       6:{3,4}:{(4,1),(12,1),(13,1),(25,1)}
       7:{3,6}:{(3,1),(4,1)}
       8:{1,3,5}:{(4,1),(12,1),(14,1),(16,1),(22,1),(25,1),(28,1)}
       9:{2,3,5}:{(4,1),(13,1),(15,1),(16,1),(23,1),(25,1),(28,1)}
      10:{4,5}:{(5,1),(17,1),(29,1)}
      11:{3,4,6}:{(5,1),(6,1),(7,1),(17,1),(18,1),(19,1),(27,1),(29,1)}
      12:{1,4}:{(6,1),(8,1),(29,1)}
      13:{2,4}:{(6,1),(9,1),(29,1)}
      14:{1,3,6}:{(7,1),(8,1),(18,1),(21,1),(27,1)}
      15:{2,3,6}:{(7,1),(9,1),(19,1),(21,1),(27,1)}
      16:{1,2,5}:{(8,1),(9,1),(20,1),(21,1)}
      17:{3,5}:{(10,1),(11,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1),(22,1)}
      19:{2,4,6}:{(11,1),(13,1),(15,1),(23,1)}
      20:{1,2,4}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,2,6}:{(14,1),(15,1),(16,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,5}:{(17,1),(19,1)}
      24:{1,2,4,6}:{(18,1),(19,1),(20,1),(21,1),(26,1),(27,1),(29,1)}
      25:{3}:{(20,1)}
      26:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      27:{3,6}:{(24,1),(25,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

205 :  0:{1,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(5,1),(6,1),(18,1)}
       2:{1,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1)}
       3:{1,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(22,1)}
       4:{1,4,5,6}:{(9,1),(10,1)}
       5:{2,3,6}:{(1,1),(11,1),(22,1)}
       6:{1,2,5}:{(1,1),(2,1),(11,1)}
       7:{1,4,5}:{(2,1),(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(6,1),(14,1),(15,1),(17,1),(38,1)}
       9:{1,4,6}:{(3,1),(7,1),(16,1)}
      10:{3,5,6}:{(4,1),(16,1),(17,1)}
      11:{2,3,5}:{(5,1),(6,1),(18,1),(19,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(15,1),(18,1),(19,1),(20,1),(27,1),(31,1),(33,1),(38,1)}
      13:{3,4,5}:{(7,1),(16,1),(19,1),(20,1)}
      14:{2,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(12,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(10,1),(13,1),(22,1),(23,1)}
      17:{2,5,6}:{(10,1),(23,1)}
      18:{2,4}:{(11,1),(24,1)}
      19:{3,5}:{(12,1),(22,1),(24,1)}
      20:{2,4,5}:{(13,1),(23,1),(26,1)}
      21:{2,4,6}:{(14,1),(18,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(19,1)}
      23:{2,4,6}:{(16,1),(17,1),(20,1),(30,1)}
      24:{3,4}:{(18,1),(19,1),(31,1)}
      25:{1,3,5}:{(19,1),(29,1),(31,1),(33,1),(38,1),(39,1)}
      26:{2,3,5}:{(19,1),(20,1),(30,1),(32,1),(33,1)}
      27:{2,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(25,1),(35,1),(36,1)}
      30:{2,3,6}:{(22,1),(23,1),(26,1),(36,1)}
      31:{1,4}:{(24,1),(25,1)}
      32:{2,3,4}:{(24,1),(26,1),(37,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(28,1),(29,1),(31,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(37,1)}

206 :  0:{1,3,4,6}:{(1,1),(2,1),(10,1),(20,1),(21,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(13,1)}
       2:{1,3,5}:{(0,1),(4,1),(6,1),(15,1),(38,1)}
       3:{2,3,6}:{(1,1),(7,1),(21,1)}
       4:{1,2,5}:{(1,1),(2,1),(7,1)}
       5:{1,3,5,6}:{(2,1),(8,1),(10,1),(21,1),(24,1)}
       6:{1,4,5}:{(2,1),(10,1),(11,1)}
       7:{2,3,5}:{(3,1),(4,1),(13,1),(15,1)}
       8:{1,2,5,6}:{(4,1),(5,1),(12,1),(14,1),(33,1),(38,1)}
       9:{1,2,4,5}:{(4,1),(6,1),(13,1),(14,1),(15,1),(18,1),(26,1),(28,1),(32,1),(38,1)}
      10:{1,4,6}:{(5,1),(6,1),(17,1)}
      11:{3,4,5}:{(6,1),(15,1),(17,1),(18,1)}
      12:{2,3,5,6}:{(7,1),(8,1),(19,1),(21,1),(34,1)}
      13:{2,4}:{(7,1),(20,1)}
      14:{1,2,4,6}:{(8,1),(9,1),(10,1),(19,1),(21,1),(25,1),(35,1),(37,1)}
      15:{3,5}:{(9,1),(20,1),(21,1)}
      16:{1,4,5,6}:{(10,1),(24,1)}
      17:{3,4,6}:{(10,1),(11,1),(21,1),(24,1),(25,1)}
      18:{2,4,5}:{(11,1),(23,1),(25,1)}
      19:{2,4,6}:{(12,1),(13,1),(26,1),(27,1)}
      20:{3,4}:{(13,1),(15,1),(28,1)}
      21:{3,6}:{(14,1),(15,1)}
      22:{1,3,5}:{(15,1),(28,1),(30,1),(32,1),(38,1),(39,1)}
      23:{2,3,5}:{(15,1),(18,1),(29,1),(31,1),(32,1)}
      24:{3,5,6}:{(16,1),(17,1),(33,1)}
      25:{2,4,6}:{(17,1),(18,1),(31,1),(33,1)}
      26:{2,4,5}:{(19,1),(34,1)}
      27:{3,4,6}:{(19,1),(20,1),(21,1),(34,1),(35,1)}
      28:{1,4}:{(20,1),(22,1)}
      29:{2,3,4}:{(20,1),(23,1),(36,1)}
      30:{1,3,6}:{(21,1),(22,1),(35,1),(37,1)}
      31:{2,3,6}:{(21,1),(23,1),(25,1),(37,1)}
      32:{1,2,5}:{(22,1),(23,1),(36,1),(37,1)}
      33:{2,5,6}:{(24,1),(25,1)}
      34:{3,5}:{(26,1),(27,1),(38,1)}
      35:{1,4,6}:{(27,1),(28,1),(30,1),(38,1)}
      36:{1,2,4}:{(28,1),(29,1),(32,1),(39,1)}
      37:{1,2,6}:{(30,1),(31,1),(32,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(36,1)}

207 :  0:{1,3,4}:{(2,1),(3,1),(31,1)}
       1:{3,4,5}:{(4,1),(5,1),(6,1),(21,1),(44,1)}
       2:{1,3,5}:{(0,1),(4,1),(7,1),(8,1),(21,1)}
       3:{1,2,4}:{(0,1),(7,1),(9,1),(26,1)}
       4:{1,4,5}:{(1,1),(2,1),(13,1)}
       5:{2,4,5}:{(1,1),(11,1),(14,1)}
       6:{3,4,6}:{(1,1),(13,1),(14,1),(15,1),(32,1),(42,1)}
       7:{1,2,5}:{(2,1),(3,1),(16,1),(17,1)}
       8:{1,3,6}:{(2,1),(13,1),(17,1),(32,1)}
       9:{2,3}:{(3,1)}
      10:{2,3,4}:{(11,1),(18,1),(31,1)}
      11:{2,3,5}:{(5,1),(10,1),(19,1),(20,1),(21,1)}
      12:{1,2,4,5}:{(4,1),(5,1),(7,1),(19,1),(21,1),(22,1),(26,1),(35,1),(39,1),(43,1),(44,1)}
      13:{1,4,6}:{(4,1),(6,1),(8,1),(23,1)}
      14:{2,4,6}:{(5,1),(6,1),(20,1),(24,1)}
      15:{3,5,6}:{(6,1),(23,1),(24,1),(25,1)}
      16:{2,3,5}:{(7,1),(9,1),(21,1),(26,1),(27,1),(39,1)}
      17:{1,2,6}:{(7,1),(8,1),(27,1)}
      18:{1,2,4}:{(10,1),(19,1),(28,1),(35,1)}
      19:{1,2,5}:{(11,1),(18,1),(29,1),(30,1)}
      20:{2,3,6}:{(11,1),(14,1),(30,1),(32,1)}
      21:{3,5}:{(12,1),(31,1),(32,1)}
      22:{1,2,4,6}:{(12,1),(13,1),(14,1),(17,1),(30,1),(32,1),(33,1),(34,1),(40,1),(42,1)}
      23:{1,5,6}:{(13,1),(15,1)}
      24:{2,5,6}:{(14,1),(15,1)}
      25:{4,5,6}:{(15,1),(42,1)}
      26:{2,4}:{(16,1),(31,1)}
      27:{2,3,6}:{(16,1),(17,1),(32,1),(34,1)}
      28:{1,3}:{(18,1)}
      29:{1,3,5}:{(19,1),(21,1),(28,1),(35,1),(36,1),(43,1)}
      30:{1,2,6}:{(19,1),(20,1),(36,1)}
      31:{3,4}:{(21,1),(26,1),(35,1)}
      32:{3,6}:{(21,1),(22,1)}
      33:{1,2,5,6}:{(22,1),(23,1),(24,1),(38,1),(39,1),(43,1)}
      34:{2,4,6}:{(26,1),(27,1),(37,1),(39,1)}
      35:{1,4}:{(29,1),(31,1)}
      36:{1,3,6}:{(29,1),(30,1),(32,1),(40,1)}
      37:{3,4,6}:{(31,1),(32,1),(34,1),(40,1),(41,1),(42,1)}
      38:{3,5,6}:{(32,1),(33,1),(41,1),(42,1)}
      39:{2,5}:{(34,1),(41,1)}
      40:{1,4,6}:{(35,1),(36,1),(37,1),(43,1)}
      41:{3,5}:{(37,1),(39,1),(43,1),(44,1)}
      42:{4,6}:{(38,1),(44,1)}
      43:{1,5}:{(40,1),(41,1)}
      44:{4,5}:{(41,1),(42,1)}

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

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

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

211 :  0:{1,4,5,6}:{(1,1),(6,1)}
       1:{3,5,6}:{(0,1),(2,1),(4,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(20,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(15,1),(20,1)}
       4:{2,5,6}:{(1,1),(7,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(25,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(12,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(14,1),(23,1),(39,1)}
       9:{1,4,5}:{(5,1),(6,1),(15,1)}
      10:{2,4,5}:{(5,1),(7,1),(16,1)}
      11:{1,3,4,6}:{(6,1),(15,1),(18,1),(20,1),(33,1),(34,1)}
      12:{2,3,6}:{(7,1),(16,1),(19,1),(20,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(17,1),(19,1),(20,1),(21,1),(34,1)}
      14:{2,3,5,6}:{(8,1),(20,1),(21,1),(31,1),(35,1)}
      15:{1,3,5}:{(9,1),(11,1),(23,1),(25,1),(39,1)}
      16:{2,3,5}:{(10,1),(12,1),(22,1),(24,1),(25,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(13,1),(23,1),(24,1),(25,1),(29,1),(37,1),(38,1),(39,1)}
      18:{1,2,4,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,2,6}:{(12,1),(24,1),(27,1)}
      20:{3,6}:{(13,1),(25,1)}
      21:{2,4,6}:{(14,1),(28,1),(29,1),(37,1)}
      22:{2,3,4}:{(16,1),(30,1),(33,1)}
      23:{1,2,5}:{(15,1),(18,1),(31,1)}
      24:{1,2,5}:{(16,1),(19,1),(30,1),(32,1)}
      25:{3,5}:{(17,1),(20,1),(33,1)}
      26:{2,3,6}:{(18,1),(20,1),(31,1)}
      27:{1,3,6}:{(19,1),(20,1),(32,1),(34,1)}
      28:{3,4,6}:{(20,1),(21,1),(33,1),(34,1),(35,1)}
      29:{2,4,5}:{(21,1),(35,1)}
      30:{1,2,4}:{(22,1),(24,1),(36,1),(38,1)}
      31:{2,3,5}:{(23,1),(25,1),(26,1),(37,1)}
      32:{1,3,5}:{(24,1),(25,1),(27,1),(36,1),(38,1),(39,1)}
      33:{3,4}:{(25,1),(37,1),(38,1)}
      34:{1,4,6}:{(27,1),(28,1),(38,1),(39,1)}
      35:{3,5}:{(28,1),(29,1),(39,1)}
      36:{1,3}:{(30,1)}
      37:{2,4}:{(31,1),(33,1)}
      38:{1,4}:{(32,1),(33,1)}
      39:{1,5}:{(34,1),(35,1)}

212 :  0:{2,4,5,6}:{(2,1),(14,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(14,1),(28,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(7,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(28,1)}
       7:{1,5,6}:{(2,1),(13,1)}
       8:{2,3,5,6}:{(2,1),(4,1),(14,1),(15,1),(28,1)}
       9:{1,4,5}:{(3,1),(13,1),(16,1)}
      10:{2,4,5}:{(3,1),(4,1),(14,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,3,6}:{(5,1),(18,1),(28,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1),(20,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(21,1),(22,1),(39,1)}
      16:{1,3,5}:{(9,1),(19,1),(20,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(21,1),(23,1),(24,1),(25,1),(35,1),(36,1),(39,1)}
      18:{1,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{1,3,4}:{(16,1),(26,1),(31,1)}
      20:{1,3,6}:{(13,1),(16,1),(27,1),(28,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(27,1),(28,1),(29,1),(37,1)}
      22:{1,3,5,6}:{(15,1),(18,1),(28,1),(29,1),(38,1)}
      23:{1,2,5}:{(16,1),(26,1),(27,1),(30,1)}
      24:{3,5}:{(17,1),(28,1),(31,1)}
      25:{1,4}:{(18,1),(31,1)}
      26:{1,2,4}:{(19,1),(23,1),(32,1),(36,1)}
      27:{1,2,6}:{(20,1),(23,1),(33,1)}
      28:{3,6}:{(21,1),(24,1)}
      29:{1,4,6}:{(22,1),(25,1),(34,1),(35,1)}
      30:{2,3,5}:{(23,1),(24,1),(32,1),(33,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{2,3}:{(26,1)}
      33:{2,3,6}:{(27,1),(28,1),(30,1),(37,1)}
      34:{3,4,6}:{(28,1),(29,1),(31,1),(37,1),(38,1)}
      35:{1,4,5}:{(29,1),(38,1)}
      36:{2,4}:{(30,1),(31,1)}
      37:{2,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

213 :  0:{1,2,5,6}:{(2,1),(3,1),(22,1),(23,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(10,1),(12,1),(13,1),(16,1),(22,1),(23,1)}
       2:{3,5,6}:{(0,1),(5,1),(7,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(7,1),(18,1),(19,1),(21,1)}
       4:{3,5}:{(1,1),(6,1),(7,1)}
       5:{4,6}:{(2,1),(10,1)}
       6:{3,4}:{(4,1),(12,1),(13,1),(25,1)}
       7:{3,6}:{(3,1),(4,1)}
       8:{1,3,5}:{(4,1),(12,1),(14,1),(16,1),(22,1),(25,1),(28,1)}
       9:{2,3,5}:{(4,1),(13,1),(15,1),(16,1),(23,1),(25,1),(28,1)}
      10:{4,5}:{(5,1),(17,1),(29,1)}
      11:{3,4,6}:{(5,1),(6,1),(7,1),(17,1),(18,1),(19,1),(27,1),(29,1)}
      12:{1,4}:{(6,1),(8,1),(29,1)}
      13:{2,4}:{(6,1),(9,1),(29,1)}
      14:{1,3,6}:{(7,1),(8,1),(18,1),(21,1),(27,1)}
      15:{2,3,6}:{(7,1),(9,1),(19,1),(21,1),(27,1)}
      16:{1,2,5}:{(8,1),(9,1),(20,1),(21,1)}
      17:{3,5}:{(10,1),(11,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1),(22,1)}
      19:{2,4,6}:{(11,1),(13,1),(15,1),(23,1)}
      20:{1,2,4}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,2,6}:{(14,1),(15,1),(16,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,5}:{(17,1),(19,1)}
      24:{1,2,4,6}:{(18,1),(19,1),(20,1),(21,1),(26,1),(27,1),(29,1)}
      25:{3}:{(20,1)}
      26:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      27:{3,6}:{(24,1),(25,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

214 :  0:{2,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(5,1),(6,1),(18,1)}
       2:{2,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1)}
       3:{2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(22,1)}
       4:{2,4,5,6}:{(9,1),(10,1)}
       5:{1,3,6}:{(1,1),(11,1),(22,1)}
       6:{1,2,5}:{(1,1),(2,1),(11,1)}
       7:{2,4,5}:{(2,1),(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(6,1),(14,1),(15,1),(17,1),(38,1)}
       9:{2,4,6}:{(3,1),(7,1),(16,1)}
      10:{3,5,6}:{(4,1),(16,1),(17,1)}
      11:{1,3,5}:{(5,1),(6,1),(18,1),(19,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(15,1),(18,1),(19,1),(20,1),(27,1),(32,1),(33,1),(38,1)}
      13:{3,4,5}:{(7,1),(16,1),(19,1),(20,1)}
      14:{1,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(12,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(10,1),(13,1),(22,1),(23,1)}
      17:{1,5,6}:{(10,1),(23,1)}
      18:{1,4}:{(11,1),(24,1)}
      19:{3,5}:{(12,1),(22,1),(24,1)}
      20:{1,4,5}:{(13,1),(23,1),(25,1)}
      21:{1,4,6}:{(14,1),(18,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(19,1)}
      23:{1,4,6}:{(16,1),(17,1),(20,1),(29,1)}
      24:{3,4}:{(18,1),(19,1),(32,1)}
      25:{1,3,5}:{(19,1),(20,1),(29,1),(31,1),(33,1)}
      26:{2,3,5}:{(19,1),(30,1),(32,1),(33,1),(38,1),(39,1)}
      27:{1,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(23,1),(25,1),(36,1)}
      30:{2,3,6}:{(22,1),(26,1),(35,1),(36,1)}
      31:{1,3,4}:{(24,1),(25,1),(37,1)}
      32:{2,4}:{(24,1),(26,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(28,1),(30,1),(32,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,5}:{(34,1),(35,1)}
      39:{2,3}:{(37,1)}

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

216 :  0:{1,2,3,5}:{(1,1),(2,1),(6,1),(11,1),(22,1),(26,1)}
       1:{1,2,4}:{(0,1),(4,1)}
       2:{1,2,3,6}:{(0,1),(5,1),(15,1),(33,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1),(11,1),(19,1),(20,1),(22,1),(27,1)}
       4:{3,4}:{(1,1),(6,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       6:{3,5}:{(3,1),(4,1),(15,1)}
       7:{1,2,4,6}:{(3,1),(15,1),(16,1),(29,1),(30,1),(33,1),(34,1)}
       8:{1,3,4}:{(4,1),(13,1),(17,1),(42,1)}
       9:{2,3,4}:{(4,1),(14,1),(17,1),(42,1)}
      10:{3,4,6}:{(4,1),(5,1),(15,1),(18,1),(34,1)}
      11:{1,2,5}:{(5,1),(18,1)}
      12:{3,4,5}:{(6,1),(19,1),(20,1),(21,1),(27,1),(35,1),(51,1)}
      13:{1,3,5}:{(6,1),(8,1),(19,1),(22,1),(23,1),(35,1)}
      14:{2,3,5}:{(6,1),(9,1),(20,1),(22,1),(24,1),(35,1)}
      15:{3,6}:{(6,1),(7,1)}
      16:{1,2,5,6}:{(7,1),(11,1),(25,1),(37,1),(38,1)}
      17:{1,2,4}:{(8,1),(9,1),(22,1),(26,1)}
      18:{3,5}:{(10,1),(11,1),(27,1)}
      19:{1,4,5}:{(12,1),(13,1),(29,1)}
      20:{2,4,5}:{(12,1),(14,1),(30,1)}
      21:{3,4,6}:{(12,1),(15,1),(29,1),(30,1),(31,1),(34,1),(43,1),(50,1)}
      22:{1,2,5}:{(13,1),(14,1),(17,1),(33,1)}
      23:{1,3,6}:{(13,1),(15,1),(29,1),(33,1),(43,1)}
      24:{2,3,6}:{(14,1),(15,1),(30,1),(33,1),(43,1)}
      25:{3,5,6}:{(15,1),(16,1),(18,1),(34,1)}
      26:{1,2,3}:{(17,1)}
      27:{4,5}:{(18,1),(34,1)}
      28:{1,2,4,5}:{(19,1),(20,1),(22,1),(35,1),(36,1),(40,1),(48,1),(51,1)}
      29:{1,4,6}:{(19,1),(21,1),(23,1),(37,1)}
      30:{2,4,6}:{(20,1),(21,1),(24,1),(38,1)}
      31:{3,5,6}:{(21,1),(37,1),(38,1),(39,1)}
      32:{1,2,3,5}:{(22,1),(26,1),(35,1),(40,1),(41,1),(48,1)}
      33:{1,2,6}:{(22,1),(23,1),(24,1)}
      34:{4,6}:{(25,1),(27,1)}
      35:{3,5}:{(28,1),(42,1),(43,1)}
      36:{1,2,4,6}:{(28,1),(29,1),(30,1),(33,1),(43,1),(44,1),(50,1)}
      37:{1,5,6}:{(29,1),(31,1)}
      38:{2,5,6}:{(30,1),(31,1)}
      39:{4,5,6}:{(31,1),(34,1),(50,1)}
      40:{1,2,4}:{(32,1),(42,1)}
      41:{1,2,3,6}:{(32,1),(33,1),(43,1),(45,1)}
      42:{3,4}:{(35,1),(40,1)}
      43:{3,6}:{(35,1),(36,1)}
      44:{1,2,5,6}:{(36,1),(37,1),(38,1),(47,1),(48,1)}
      45:{1,2,4,6}:{(40,1),(41,1),(46,1),(48,1)}
      46:{3,4,6}:{(42,1),(43,1),(45,1),(49,1),(50,1)}
      47:{3,5,6}:{(43,1),(44,1),(49,1),(50,1)}
      48:{1,2,5}:{(45,1),(49,1)}
      49:{3,5}:{(46,1),(48,1),(51,1)}
      50:{4,6}:{(47,1),(51,1)}
      51:{4,5}:{(49,1),(50,1)}

217 :  0:{1,2,3,6}:{(1,1),(2,1),(18,1),(34,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1)}
       2:{1,2,3,5}:{(0,1),(4,1),(5,1),(13,1),(28,1),(29,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(16,1),(18,1)}
       4:{1,2,5}:{(1,1),(6,1)}
       5:{1,2,4}:{(2,1),(9,1)}
       6:{3,5}:{(3,1),(4,1),(11,1)}
       7:{1,2,5,6}:{(4,1),(10,1),(12,1),(36,1),(37,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(11,1),(12,1),(13,1),(24,1),(25,1),(28,1)}
       9:{3,4}:{(5,1),(13,1)}
      10:{3,5,6}:{(6,1),(7,1),(16,1),(18,1)}
      11:{4,5}:{(6,1),(16,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(16,1),(18,1),(31,1),(32,1),(34,1)}
      13:{3,5}:{(8,1),(9,1),(18,1)}
      14:{1,3,4}:{(9,1),(19,1),(21,1),(44,1)}
      15:{2,3,4}:{(9,1),(20,1),(21,1),(44,1)}
      16:{4,6}:{(10,1),(11,1)}
      17:{3,4,5}:{(11,1),(13,1),(23,1),(24,1),(25,1),(39,1),(51,1)}
      18:{3,6}:{(12,1),(13,1)}
      19:{1,3,5}:{(13,1),(14,1),(24,1),(26,1),(28,1),(39,1)}
      20:{2,3,5}:{(13,1),(15,1),(25,1),(27,1),(28,1),(39,1)}
      21:{1,2,4}:{(14,1),(15,1),(28,1),(29,1)}
      22:{4,5,6}:{(16,1),(30,1),(49,1)}
      23:{3,4,6}:{(16,1),(17,1),(18,1),(30,1),(31,1),(32,1),(43,1),(49,1)}
      24:{1,4,5}:{(17,1),(19,1),(31,1)}
      25:{2,4,5}:{(17,1),(20,1),(32,1)}
      26:{1,3,6}:{(18,1),(19,1),(31,1),(34,1),(43,1)}
      27:{2,3,6}:{(18,1),(20,1),(32,1),(34,1),(43,1)}
      28:{1,2,5}:{(19,1),(20,1),(21,1),(34,1)}
      29:{1,2,3}:{(21,1)}
      30:{3,5,6}:{(22,1),(23,1),(36,1),(37,1)}
      31:{1,4,6}:{(23,1),(24,1),(26,1),(36,1)}
      32:{2,4,6}:{(23,1),(25,1),(27,1),(37,1)}
      33:{1,2,4,5}:{(24,1),(25,1),(28,1),(38,1),(39,1),(41,1),(48,1),(51,1)}
      34:{1,2,6}:{(26,1),(27,1),(28,1)}
      35:{1,2,3,5}:{(28,1),(29,1),(39,1),(40,1),(41,1),(48,1)}
      36:{1,5,6}:{(30,1),(31,1)}
      37:{2,5,6}:{(30,1),(32,1)}
      38:{1,2,4,6}:{(31,1),(32,1),(33,1),(34,1),(42,1),(43,1),(49,1)}
      39:{3,5}:{(33,1),(43,1),(44,1)}
      40:{1,2,3,6}:{(34,1),(35,1),(43,1),(45,1)}
      41:{1,2,4}:{(35,1),(44,1)}
      42:{1,2,5,6}:{(36,1),(37,1),(38,1),(46,1),(48,1)}
      43:{3,6}:{(38,1),(39,1)}
      44:{3,4}:{(39,1),(41,1)}
      45:{1,2,4,6}:{(40,1),(41,1),(47,1),(48,1)}
      46:{3,5,6}:{(42,1),(43,1),(49,1),(50,1)}
      47:{3,4,6}:{(43,1),(44,1),(45,1),(49,1),(50,1)}
      48:{1,2,5}:{(45,1),(50,1)}
      49:{4,6}:{(46,1),(51,1)}
      50:{3,5}:{(47,1),(48,1),(51,1)}
      51:{4,5}:{(49,1),(50,1)}

218 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(12,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(11,1),(14,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(5,1),(19,1),(20,1),(27,1)}
       3:{1,4,6}:{(0,1),(6,1),(7,1),(25,1)}
       4:{2,4,6}:{(1,1),(8,1),(9,1),(26,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(11,1),(13,1),(15,1),(24,1),(28,1)}
       6:{1,4,5}:{(3,1),(12,1)}
       7:{3,4,6}:{(3,1),(11,1),(12,1),(13,1),(21,1)}
       8:{2,4,5}:{(4,1),(14,1)}
       9:{3,4,6}:{(4,1),(11,1),(14,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(8,1),(16,1),(19,1),(20,1),(25,1),(26,1),(27,1)}
      11:{3,6}:{(5,1),(16,1),(29,1)}
      12:{3,5}:{(6,1),(7,1),(19,1)}
      13:{2,4,6}:{(7,1),(18,1),(19,1),(26,1)}
      14:{3,5}:{(8,1),(9,1),(20,1)}
      15:{1,4,6}:{(9,1),(17,1),(20,1),(25,1)}
      16:{3,5}:{(10,1),(11,1),(21,1)}
      17:{1,3,6}:{(11,1),(15,1),(22,1),(24,1)}
      18:{2,3,6}:{(11,1),(13,1),(23,1),(24,1)}
      19:{2,5}:{(12,1),(13,1)}
      20:{1,5}:{(14,1),(15,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(17,1),(20,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(18,1),(19,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(17,1),(18,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

219 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(16,1)}
       1:{3,5,6}:{(0,1),(2,1),(22,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(14,1),(19,1),(26,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(15,1),(19,1),(25,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(22,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(29,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(28,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(21,1)}
       9:{1,4,5}:{(5,1),(6,1),(14,1)}
      10:{2,4,5}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(14,1),(17,1),(19,1),(27,1)}
      12:{2,3,4,6}:{(7,1),(15,1),(18,1),(19,1),(27,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(16,1),(19,1)}
      14:{1,3,5}:{(9,1),(11,1),(20,1),(22,1)}
      15:{2,3,5}:{(10,1),(12,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(13,1),(20,1),(21,1),(22,1),(28,1),(29,1)}
      17:{1,2,4,6}:{(11,1),(20,1),(23,1),(28,1)}
      18:{1,2,4,6}:{(12,1),(21,1),(24,1),(29,1)}
      19:{3,6}:{(13,1),(22,1)}
      20:{1,2,5}:{(14,1),(17,1),(25,1)}
      21:{1,2,5}:{(15,1),(18,1),(26,1)}
      22:{3,5}:{(16,1),(19,1),(27,1)}
      23:{2,3,6}:{(17,1),(19,1),(25,1)}
      24:{1,3,6}:{(18,1),(19,1),(26,1)}
      25:{2,3,5}:{(20,1),(22,1),(23,1),(28,1)}
      26:{1,3,5}:{(21,1),(22,1),(24,1),(29,1)}
      27:{3,4}:{(22,1),(28,1),(29,1)}
      28:{2,4}:{(25,1),(27,1)}
      29:{1,4}:{(26,1),(27,1)}

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

221 :  0:{1,3,5,6}:{(1,1),(2,1),(8,1),(10,1),(19,1)}
       1:{1,2,5,6}:{(0,1),(4,1),(5,1),(13,1),(26,1),(27,1)}
       2:{1,4,6}:{(0,1),(3,1),(6,1),(24,1)}
       3:{1,4,5}:{(2,1),(8,1)}
       4:{2,3,5,6}:{(1,1),(9,1),(10,1),(20,1),(21,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(10,1),(11,1),(22,1),(23,1),(28,1)}
       6:{3,4,6}:{(2,1),(8,1),(10,1),(11,1),(18,1)}
       7:{1,2,4,5}:{(3,1),(5,1),(12,1),(13,1),(14,1),(24,1),(25,1),(26,1),(27,1)}
       8:{3,5}:{(3,1),(6,1),(13,1)}
       9:{2,4,6}:{(4,1),(14,1),(15,1),(25,1)}
      10:{3,6}:{(5,1),(12,1),(29,1)}
      11:{2,4,6}:{(6,1),(13,1),(17,1),(25,1)}
      12:{3,5}:{(7,1),(10,1),(18,1)}
      13:{2,5}:{(8,1),(11,1)}
      14:{2,4,5}:{(9,1),(21,1)}
      15:{3,4,6}:{(9,1),(10,1),(18,1),(21,1),(22,1)}
      16:{1,3,6}:{(10,1),(19,1),(22,1),(23,1)}
      17:{2,3,6}:{(10,1),(11,1),(20,1),(23,1)}
      18:{3,4}:{(12,1),(24,1),(25,1),(29,1)}
      19:{1,3,5}:{(12,1),(16,1),(24,1),(26,1),(27,1),(29,1)}
      20:{2,3,5}:{(12,1),(13,1),(17,1),(25,1),(26,1),(29,1)}
      21:{3,5}:{(14,1),(15,1),(27,1)}
      22:{1,4,6}:{(15,1),(16,1),(24,1),(27,1)}
      23:{1,2,6}:{(16,1),(17,1),(26,1)}
      24:{1,4}:{(18,1),(19,1)}
      25:{2,4}:{(18,1),(20,1)}
      26:{1,2,5}:{(19,1),(20,1),(23,1),(28,1)}
      27:{1,5}:{(21,1),(22,1)}
      28:{1,2,4}:{(24,1),(25,1),(26,1),(29,1)}
      29:{3}:{(28,1)}

222 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(10,1),(20,1)}
       1:{1,2,5,6}:{(0,1),(4,1),(5,1),(13,1),(26,1),(27,1)}
       2:{2,4,6}:{(0,1),(3,1),(6,1),(25,1)}
       3:{2,4,5}:{(2,1),(8,1)}
       4:{1,3,5,6}:{(1,1),(9,1),(10,1),(19,1),(21,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(10,1),(11,1),(22,1),(23,1),(28,1)}
       6:{3,4,6}:{(2,1),(8,1),(10,1),(11,1),(18,1)}
       7:{1,2,4,5}:{(3,1),(5,1),(12,1),(13,1),(14,1),(24,1),(25,1),(26,1),(27,1)}
       8:{3,5}:{(3,1),(6,1),(13,1)}
       9:{1,4,6}:{(4,1),(14,1),(15,1),(24,1)}
      10:{3,6}:{(5,1),(12,1),(29,1)}
      11:{1,4,6}:{(6,1),(13,1),(16,1),(24,1)}
      12:{3,5}:{(7,1),(10,1),(18,1)}
      13:{1,5}:{(8,1),(11,1)}
      14:{1,4,5}:{(9,1),(21,1)}
      15:{3,4,6}:{(9,1),(10,1),(18,1),(21,1),(22,1)}
      16:{1,3,6}:{(10,1),(11,1),(19,1),(23,1)}
      17:{2,3,6}:{(10,1),(20,1),(22,1),(23,1)}
      18:{3,4}:{(12,1),(24,1),(25,1),(29,1)}
      19:{1,3,5}:{(12,1),(13,1),(16,1),(24,1),(26,1),(29,1)}
      20:{2,3,5}:{(12,1),(17,1),(25,1),(26,1),(27,1),(29,1)}
      21:{3,5}:{(14,1),(15,1),(27,1)}
      22:{2,4,6}:{(15,1),(17,1),(25,1),(27,1)}
      23:{1,2,6}:{(16,1),(17,1),(26,1)}
      24:{1,4}:{(18,1),(19,1)}
      25:{2,4}:{(18,1),(20,1)}
      26:{1,2,5}:{(19,1),(20,1),(23,1),(28,1)}
      27:{2,5}:{(21,1),(22,1)}
      28:{1,2,4}:{(24,1),(25,1),(26,1),(29,1)}
      29:{3}:{(28,1)}

223 :  0:{1,4,5,6}:{(1,1),(9,1)}
       1:{3,5,6}:{(0,1),(3,1),(5,1)}
       2:{1,3,4,6}:{(7,1),(8,1),(9,1),(23,1),(34,1),(35,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(23,1)}
       4:{1,3,5,6}:{(1,1),(7,1),(9,1),(11,1),(23,1)}
       5:{2,5,6}:{(1,1),(10,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(27,1)}
       7:{1,3,5}:{(2,1),(12,1),(14,1),(27,1),(39,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(28,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1),(16,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1)}
      12:{1,4,5}:{(6,1),(7,1),(9,1)}
      13:{2,4,5}:{(6,1),(10,1),(19,1)}
      14:{1,2,5}:{(7,1),(8,1),(21,1)}
      15:{2,3,6}:{(8,1),(21,1),(23,1)}
      16:{2,3,6}:{(10,1),(19,1),(22,1),(23,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(20,1),(22,1),(23,1),(24,1),(35,1)}
      18:{2,3,5,6}:{(11,1),(21,1),(23,1),(24,1),(36,1)}
      19:{2,3,5}:{(13,1),(16,1),(25,1),(26,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(31,1),(38,1),(39,1)}
      21:{2,3,5}:{(14,1),(15,1),(27,1),(28,1)}
      22:{1,2,6}:{(16,1),(26,1),(29,1)}
      23:{3,6}:{(17,1),(27,1)}
      24:{2,4,6}:{(18,1),(28,1),(30,1),(31,1)}
      25:{2,3,4}:{(19,1),(32,1),(34,1)}
      26:{1,2,5}:{(19,1),(22,1),(32,1),(33,1)}
      27:{3,5}:{(20,1),(23,1),(34,1)}
      28:{2,4}:{(21,1),(34,1)}
      29:{1,3,6}:{(22,1),(23,1),(33,1),(35,1)}
      30:{3,4,6}:{(23,1),(24,1),(34,1),(35,1),(36,1)}
      31:{2,4,5}:{(24,1),(36,1)}
      32:{1,2,4}:{(25,1),(26,1),(37,1),(38,1)}
      33:{1,3,5}:{(26,1),(27,1),(29,1),(37,1),(38,1),(39,1)}
      34:{3,4}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(29,1),(30,1),(38,1),(39,1)}
      36:{3,5}:{(30,1),(31,1),(39,1)}
      37:{1,3}:{(32,1)}
      38:{1,4}:{(33,1),(34,1)}
      39:{1,5}:{(35,1),(36,1)}

224 :  0:{2,4,5,6}:{(1,1),(10,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1)}
       2:{2,3,4,6}:{(7,1),(8,1),(10,1),(23,1),(34,1),(35,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(23,1)}
       4:{1,5,6}:{(1,1),(9,1)}
       5:{2,3,5,6}:{(1,1),(7,1),(10,1),(11,1),(23,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(27,1)}
       7:{2,3,5}:{(2,1),(13,1),(14,1),(27,1),(39,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(28,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1),(16,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1)}
      12:{1,4,5}:{(6,1),(9,1),(19,1)}
      13:{2,4,5}:{(6,1),(7,1),(10,1)}
      14:{1,2,5}:{(7,1),(8,1),(21,1)}
      15:{1,3,6}:{(8,1),(21,1),(23,1)}
      16:{1,3,6}:{(9,1),(19,1),(22,1),(23,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(20,1),(22,1),(23,1),(24,1),(35,1)}
      18:{1,3,5,6}:{(11,1),(21,1),(23,1),(24,1),(36,1)}
      19:{1,3,5}:{(12,1),(16,1),(25,1),(26,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(31,1),(38,1),(39,1)}
      21:{1,3,5}:{(14,1),(15,1),(27,1),(28,1)}
      22:{1,2,6}:{(16,1),(26,1),(29,1)}
      23:{3,6}:{(17,1),(27,1)}
      24:{1,4,6}:{(18,1),(28,1),(30,1),(31,1)}
      25:{1,3,4}:{(19,1),(32,1),(34,1)}
      26:{1,2,5}:{(19,1),(22,1),(32,1),(33,1)}
      27:{3,5}:{(20,1),(23,1),(34,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{2,3,6}:{(22,1),(23,1),(33,1),(35,1)}
      30:{3,4,6}:{(23,1),(24,1),(34,1),(35,1),(36,1)}
      31:{1,4,5}:{(24,1),(36,1)}
      32:{1,2,4}:{(25,1),(26,1),(37,1),(38,1)}
      33:{2,3,5}:{(26,1),(27,1),(29,1),(37,1),(38,1),(39,1)}
      34:{3,4}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(29,1),(30,1),(38,1),(39,1)}
      36:{3,5}:{(30,1),(31,1),(39,1)}
      37:{2,3}:{(32,1)}
      38:{2,4}:{(33,1),(34,1)}
      39:{2,5}:{(35,1),(36,1)}

225 :  0:{1,2,5,6}:{(2,1),(3,1),(22,1),(23,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(10,1),(14,1),(15,1),(16,1),(22,1),(23,1)}
       2:{3,5,6}:{(0,1),(5,1),(6,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(18,1),(19,1),(20,1)}
       4:{3,5}:{(1,1),(6,1),(7,1)}
       5:{4,6}:{(2,1),(10,1)}
       6:{3,6}:{(3,1),(4,1)}
       7:{3,4}:{(4,1),(14,1),(15,1),(25,1)}
       8:{1,3,5}:{(4,1),(12,1),(14,1),(16,1),(22,1),(25,1),(28,1)}
       9:{2,3,5}:{(4,1),(13,1),(15,1),(16,1),(23,1),(25,1),(28,1)}
      10:{4,5}:{(5,1),(17,1),(29,1)}
      11:{3,4,6}:{(5,1),(6,1),(7,1),(17,1),(18,1),(19,1),(27,1),(29,1)}
      12:{1,3,6}:{(6,1),(8,1),(18,1),(20,1),(27,1)}
      13:{2,3,6}:{(6,1),(9,1),(19,1),(20,1),(27,1)}
      14:{1,4}:{(7,1),(8,1),(29,1)}
      15:{2,4}:{(7,1),(9,1),(29,1)}
      16:{1,2,5}:{(8,1),(9,1),(20,1),(21,1)}
      17:{3,5}:{(10,1),(11,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1),(22,1)}
      19:{2,4,6}:{(11,1),(13,1),(15,1),(23,1)}
      20:{1,2,6}:{(12,1),(13,1),(16,1)}
      21:{1,2,4}:{(14,1),(15,1),(16,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,5}:{(17,1),(19,1)}
      24:{1,2,4,6}:{(18,1),(19,1),(20,1),(21,1),(26,1),(27,1),(29,1)}
      25:{3}:{(21,1)}
      26:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      27:{3,6}:{(24,1),(25,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

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

227 :  0:{1,2,3}:{(3,1)}
       1:{2,3,4}:{(3,1),(5,1),(16,1)}
       2:{1,3,4}:{(3,1),(6,1),(16,1)}
       3:{1,2,4}:{(0,1),(1,1),(2,1),(7,1)}
       4:{1,2,3,5}:{(0,1),(7,1),(8,1),(9,1),(22,1),(27,1),(44,1),(48,1)}
       5:{2,3,5}:{(1,1),(7,1),(10,1),(11,1),(22,1)}
       6:{1,3,5}:{(2,1),(7,1),(12,1),(13,1),(22,1)}
       7:{1,2,5}:{(3,1),(5,1),(6,1),(15,1)}
       8:{1,2,4}:{(4,1),(16,1)}
       9:{1,2,3,6}:{(4,1),(15,1),(17,1),(36,1),(54,1)}
      10:{2,4,5}:{(5,1),(18,1),(19,1)}
      11:{2,3,6}:{(5,1),(15,1),(19,1),(36,1)}
      12:{1,4,5}:{(6,1),(20,1),(21,1)}
      13:{1,3,6}:{(6,1),(15,1),(21,1),(36,1)}
      14:{1,2,4,5}:{(7,1),(8,1),(10,1),(12,1),(22,1),(23,1),(27,1),(28,1),(31,1),(44,1),(49,1)}
      15:{1,2,6}:{(7,1),(11,1),(13,1)}
      16:{3,4}:{(8,1),(22,1)}
      17:{1,2,4,6}:{(8,1),(9,1),(26,1),(27,1)}
      18:{3,4,5}:{(10,1),(22,1),(28,1),(29,1),(49,1)}
      19:{2,4,6}:{(10,1),(11,1),(29,1),(30,1)}
      20:{3,4,5}:{(12,1),(22,1),(31,1),(32,1),(49,1)}
      21:{1,4,6}:{(12,1),(13,1),(32,1),(33,1)}
      22:{3,5}:{(14,1),(16,1),(36,1)}
      23:{1,2,4,6}:{(14,1),(15,1),(19,1),(21,1),(36,1),(37,1),(40,1),(42,1),(54,1),(55,1)}
      24:{1,3,4}:{(16,1),(34,1),(38,1)}
      25:{2,3,4}:{(16,1),(35,1),(38,1)}
      26:{3,4,6}:{(16,1),(17,1),(36,1),(39,1),(55,1)}
      27:{1,2,5}:{(17,1),(39,1)}
      28:{1,4,5}:{(18,1),(34,1),(40,1)}
      29:{3,4,6}:{(18,1),(19,1),(36,1),(40,1),(41,1),(55,1)}
      30:{2,5,6}:{(19,1),(41,1)}
      31:{2,4,5}:{(20,1),(35,1),(42,1)}
      32:{3,4,6}:{(20,1),(21,1),(36,1),(42,1),(43,1),(55,1)}
      33:{1,5,6}:{(21,1),(43,1)}
      34:{1,3,5}:{(22,1),(24,1),(28,1),(44,1),(45,1)}
      35:{2,3,5}:{(22,1),(25,1),(31,1),(44,1),(46,1)}
      36:{3,6}:{(22,1),(23,1)}
      37:{1,2,5,6}:{(23,1),(27,1),(30,1),(33,1),(47,1),(50,1),(52,1)}
      38:{1,2,4}:{(24,1),(25,1),(44,1),(48,1)}
      39:{3,5}:{(26,1),(27,1),(49,1)}
      40:{1,4,6}:{(28,1),(29,1),(45,1),(50,1)}
      41:{3,5,6}:{(29,1),(30,1),(50,1),(51,1)}
      42:{2,4,6}:{(31,1),(32,1),(46,1),(52,1)}
      43:{3,5,6}:{(32,1),(33,1),(52,1),(53,1)}
      44:{1,2,5}:{(34,1),(35,1),(38,1),(54,1)}
      45:{1,3,6}:{(34,1),(36,1),(40,1),(54,1)}
      46:{2,3,6}:{(35,1),(36,1),(42,1),(54,1)}
      47:{3,5,6}:{(36,1),(37,1),(39,1),(55,1)}
      48:{1,2,3}:{(38,1)}
      49:{4,5}:{(39,1),(55,1)}
      50:{1,5,6}:{(40,1),(41,1)}
      51:{4,5,6}:{(41,1),(55,1)}
      52:{2,5,6}:{(42,1),(43,1)}
      53:{4,5,6}:{(43,1),(55,1)}
      54:{1,2,6}:{(44,1),(45,1),(46,1)}
      55:{4,6}:{(47,1),(49,1)}

228 :  0:{1,4,5,6}:{(2,1),(13,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(13,1),(28,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{1,3,5}:{(1,1),(9,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(28,1)}
       7:{1,3,5,6}:{(2,1),(4,1),(13,1),(15,1),(28,1)}
       8:{2,5,6}:{(2,1),(14,1)}
       9:{1,4,5}:{(3,1),(4,1),(13,1)}
      10:{2,4,5}:{(3,1),(14,1),(16,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{2,3,6}:{(5,1),(18,1),(28,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1),(20,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(21,1),(22,1),(39,1)}
      16:{2,3,5}:{(10,1),(19,1),(20,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(21,1),(23,1),(24,1),(25,1),(35,1),(36,1),(39,1)}
      18:{2,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{2,3,4}:{(16,1),(26,1),(31,1)}
      20:{2,3,6}:{(14,1),(16,1),(27,1),(28,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(27,1),(28,1),(29,1),(37,1)}
      22:{2,3,5,6}:{(15,1),(18,1),(28,1),(29,1),(38,1)}
      23:{1,2,5}:{(16,1),(26,1),(27,1),(30,1)}
      24:{3,5}:{(17,1),(28,1),(31,1)}
      25:{2,4}:{(18,1),(31,1)}
      26:{1,2,4}:{(19,1),(23,1),(32,1),(36,1)}
      27:{1,2,6}:{(20,1),(23,1),(33,1)}
      28:{3,6}:{(21,1),(24,1)}
      29:{2,4,6}:{(22,1),(25,1),(34,1),(35,1)}
      30:{1,3,5}:{(23,1),(24,1),(32,1),(33,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{1,3}:{(26,1)}
      33:{1,3,6}:{(27,1),(28,1),(30,1),(37,1)}
      34:{3,4,6}:{(28,1),(29,1),(31,1),(37,1),(38,1)}
      35:{2,4,5}:{(29,1),(38,1)}
      36:{1,4}:{(30,1),(31,1)}
      37:{1,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

229 :  0:{2,4,5,6}:{(2,1),(14,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(14,1),(28,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(7,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(28,1)}
       7:{1,5,6}:{(2,1),(13,1)}
       8:{2,3,5,6}:{(2,1),(4,1),(14,1),(15,1),(28,1)}
       9:{1,4,5}:{(3,1),(13,1),(16,1)}
      10:{2,4,5}:{(3,1),(4,1),(14,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,3,6}:{(5,1),(18,1),(28,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1),(20,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(21,1),(22,1),(39,1)}
      16:{1,3,5}:{(9,1),(19,1),(20,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(21,1),(23,1),(24,1),(25,1),(35,1),(36,1),(39,1)}
      18:{1,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{1,3,4}:{(16,1),(26,1),(31,1)}
      20:{1,3,6}:{(13,1),(16,1),(27,1),(28,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(27,1),(28,1),(29,1),(37,1)}
      22:{1,3,5,6}:{(15,1),(18,1),(28,1),(29,1),(38,1)}
      23:{1,2,5}:{(16,1),(26,1),(27,1),(30,1)}
      24:{3,5}:{(17,1),(28,1),(31,1)}
      25:{1,4}:{(18,1),(31,1)}
      26:{1,2,4}:{(19,1),(23,1),(32,1),(36,1)}
      27:{1,2,6}:{(20,1),(23,1),(33,1)}
      28:{3,6}:{(21,1),(24,1)}
      29:{1,4,6}:{(22,1),(25,1),(34,1),(35,1)}
      30:{2,3,5}:{(23,1),(24,1),(32,1),(33,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{2,3}:{(26,1)}
      33:{2,3,6}:{(27,1),(28,1),(30,1),(37,1)}
      34:{3,4,6}:{(28,1),(29,1),(31,1),(37,1),(38,1)}
      35:{1,4,5}:{(29,1),(38,1)}
      36:{2,4}:{(30,1),(31,1)}
      37:{2,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

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

231 :  0:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(15,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(16,1),(17,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(20,1),(21,1),(22,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,5,6}:{(4,1),(5,1),(13,1)}
       9:{3,4,5}:{(5,1),(13,1),(16,1),(17,1),(26,1)}
      10:{1,3,5}:{(5,1),(6,1),(16,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(17,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,3,5,6}:{(8,1),(10,1),(20,1),(22,1),(28,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(28,1)}
      16:{1,4,5}:{(9,1),(10,1),(20,1)}
      17:{2,4,5}:{(9,1),(11,1),(21,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(18,1),(25,1)}
      23:{1,2,4,5}:{(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(23,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

232 :  0:{1,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(5,1),(6,1),(18,1)}
       2:{1,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1)}
       3:{1,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(22,1)}
       4:{1,4,5,6}:{(9,1),(10,1)}
       5:{2,3,6}:{(1,1),(11,1),(22,1)}
       6:{1,2,5}:{(1,1),(2,1),(11,1)}
       7:{1,4,5}:{(2,1),(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(6,1),(14,1),(15,1),(17,1),(38,1)}
       9:{1,4,6}:{(3,1),(7,1),(16,1)}
      10:{3,5,6}:{(4,1),(16,1),(17,1)}
      11:{2,3,5}:{(5,1),(6,1),(18,1),(19,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(15,1),(18,1),(19,1),(20,1),(27,1),(31,1),(33,1),(38,1)}
      13:{3,4,5}:{(7,1),(16,1),(19,1),(20,1)}
      14:{2,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(12,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(10,1),(13,1),(22,1),(23,1)}
      17:{2,5,6}:{(10,1),(23,1)}
      18:{2,4}:{(11,1),(24,1)}
      19:{3,5}:{(12,1),(22,1),(24,1)}
      20:{2,4,5}:{(13,1),(23,1),(26,1)}
      21:{2,4,6}:{(14,1),(18,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(19,1)}
      23:{2,4,6}:{(16,1),(17,1),(20,1),(30,1)}
      24:{3,4}:{(18,1),(19,1),(31,1)}
      25:{1,3,5}:{(19,1),(29,1),(31,1),(33,1),(38,1),(39,1)}
      26:{2,3,5}:{(19,1),(20,1),(30,1),(32,1),(33,1)}
      27:{2,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(25,1),(35,1),(36,1)}
      30:{2,3,6}:{(22,1),(23,1),(26,1),(36,1)}
      31:{1,4}:{(24,1),(25,1)}
      32:{2,3,4}:{(24,1),(26,1),(37,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(28,1),(29,1),(31,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(37,1)}

233 :  0:{2,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(5,1),(6,1),(18,1)}
       2:{2,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1)}
       3:{2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(22,1)}
       4:{2,4,5,6}:{(9,1),(10,1)}
       5:{1,3,6}:{(1,1),(11,1),(22,1)}
       6:{1,2,5}:{(1,1),(2,1),(11,1)}
       7:{2,4,5}:{(2,1),(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(6,1),(14,1),(15,1),(17,1),(38,1)}
       9:{2,4,6}:{(3,1),(7,1),(16,1)}
      10:{3,5,6}:{(4,1),(16,1),(17,1)}
      11:{1,3,5}:{(5,1),(6,1),(18,1),(19,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(15,1),(18,1),(19,1),(20,1),(27,1),(32,1),(33,1),(38,1)}
      13:{3,4,5}:{(7,1),(16,1),(19,1),(20,1)}
      14:{1,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(12,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(10,1),(13,1),(22,1),(23,1)}
      17:{1,5,6}:{(10,1),(23,1)}
      18:{1,4}:{(11,1),(24,1)}
      19:{3,5}:{(12,1),(22,1),(24,1)}
      20:{1,4,5}:{(13,1),(23,1),(25,1)}
      21:{1,4,6}:{(14,1),(18,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(19,1)}
      23:{1,4,6}:{(16,1),(17,1),(20,1),(29,1)}
      24:{3,4}:{(18,1),(19,1),(32,1)}
      25:{1,3,5}:{(19,1),(20,1),(29,1),(31,1),(33,1)}
      26:{2,3,5}:{(19,1),(30,1),(32,1),(33,1),(38,1),(39,1)}
      27:{1,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(23,1),(25,1),(36,1)}
      30:{2,3,6}:{(22,1),(26,1),(35,1),(36,1)}
      31:{1,3,4}:{(24,1),(25,1),(37,1)}
      32:{2,4}:{(24,1),(26,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(28,1),(30,1),(32,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,5}:{(34,1),(35,1)}
      39:{2,3}:{(37,1)}

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

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

236 :  0:{2,3,4,6}:{(1,1),(2,1),(8,1),(21,1),(23,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(16,1)}
       2:{2,3,5}:{(0,1),(5,1),(6,1),(17,1),(38,1)}
       3:{2,3,5,6}:{(2,1),(7,1),(8,1),(19,1),(21,1)}
       4:{1,3,6}:{(1,1),(9,1),(21,1)}
       5:{1,2,5}:{(1,1),(2,1),(9,1)}
       6:{2,4,5}:{(2,1),(8,1),(11,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(13,1),(14,1),(26,1),(38,1)}
       8:{2,4,6}:{(3,1),(6,1),(15,1)}
       9:{1,3,5}:{(4,1),(5,1),(16,1),(17,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(14,1),(16,1),(17,1),(18,1),(27,1),(32,1),(33,1),(38,1)}
      11:{3,4,5}:{(6,1),(15,1),(17,1),(18,1)}
      12:{2,4,5,6}:{(8,1),(19,1)}
      13:{1,3,5,6}:{(7,1),(9,1),(20,1),(21,1),(34,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1),(35,1),(36,1)}
      15:{3,4,6}:{(8,1),(11,1),(19,1),(21,1),(22,1)}
      16:{1,4}:{(9,1),(23,1)}
      17:{3,5}:{(10,1),(21,1),(23,1)}
      18:{1,4,5}:{(11,1),(22,1),(24,1)}
      19:{3,5,6}:{(12,1),(15,1),(26,1)}
      20:{1,4,6}:{(13,1),(16,1),(27,1),(28,1)}
      21:{3,6}:{(14,1),(17,1)}
      22:{1,4,6}:{(15,1),(18,1),(26,1),(29,1)}
      23:{3,4}:{(16,1),(17,1),(32,1)}
      24:{1,3,5}:{(17,1),(18,1),(29,1),(31,1),(33,1)}
      25:{2,3,5}:{(17,1),(30,1),(32,1),(33,1),(38,1),(39,1)}
      26:{1,5,6}:{(19,1),(22,1)}
      27:{1,4,5}:{(20,1),(34,1)}
      28:{3,4,6}:{(20,1),(21,1),(23,1),(34,1),(35,1)}
      29:{1,3,6}:{(21,1),(22,1),(24,1),(36,1)}
      30:{2,3,6}:{(21,1),(25,1),(35,1),(36,1)}
      31:{1,3,4}:{(23,1),(24,1),(37,1)}
      32:{2,4}:{(23,1),(25,1)}
      33:{1,2,5}:{(24,1),(25,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(28,1),(30,1),(32,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,5}:{(34,1),(35,1)}
      39:{2,3}:{(37,1)}

237 :  0:{2,3,4}:{(2,1),(3,1),(33,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(25,1),(44,1)}
       2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1),(25,1)}
       3:{1,2,4}:{(0,1),(9,1),(10,1),(27,1)}
       4:{4,5,6}:{(13,1),(41,1)}
       5:{3,4,6}:{(1,1),(13,1),(14,1),(15,1),(32,1),(41,1)}
       6:{1,4,5}:{(1,1),(12,1),(14,1)}
       7:{2,4,5}:{(1,1),(2,1),(15,1)}
       8:{2,3,6}:{(2,1),(15,1),(17,1),(32,1)}
       9:{1,2,5}:{(2,1),(3,1),(17,1),(18,1)}
      10:{1,3}:{(3,1)}
      11:{1,3,4}:{(12,1),(19,1),(33,1)}
      12:{1,3,5}:{(6,1),(11,1),(20,1),(21,1),(25,1)}
      13:{3,5,6}:{(4,1),(5,1),(22,1),(23,1)}
      14:{1,4,6}:{(5,1),(6,1),(20,1),(22,1)}
      15:{2,4,6}:{(5,1),(7,1),(8,1),(23,1)}
      16:{1,2,4,5}:{(6,1),(7,1),(9,1),(21,1),(24,1),(25,1),(27,1),(36,1),(39,1),(43,1),(44,1)}
      17:{1,2,6}:{(8,1),(9,1),(26,1)}
      18:{1,3,5}:{(9,1),(10,1),(25,1),(26,1),(27,1),(39,1)}
      19:{1,2,4}:{(11,1),(21,1),(28,1),(36,1)}
      20:{1,3,6}:{(12,1),(14,1),(29,1),(32,1)}
      21:{1,2,5}:{(12,1),(19,1),(29,1),(30,1)}
      22:{1,5,6}:{(13,1),(14,1)}
      23:{2,5,6}:{(13,1),(15,1)}
      24:{1,2,4,6}:{(14,1),(15,1),(16,1),(17,1),(29,1),(31,1),(32,1),(34,1),(40,1),(41,1)}
      25:{3,5}:{(16,1),(32,1),(33,1)}
      26:{1,3,6}:{(17,1),(18,1),(32,1),(34,1)}
      27:{1,4}:{(18,1),(33,1)}
      28:{2,3}:{(19,1)}
      29:{1,2,6}:{(20,1),(21,1),(35,1)}
      30:{2,3,5}:{(21,1),(25,1),(28,1),(35,1),(36,1),(43,1)}
      31:{1,2,5,6}:{(22,1),(23,1),(24,1),(37,1),(39,1),(43,1)}
      32:{3,6}:{(24,1),(25,1)}
      33:{3,4}:{(25,1),(27,1),(36,1)}
      34:{1,4,6}:{(26,1),(27,1),(38,1),(39,1)}
      35:{2,3,6}:{(29,1),(30,1),(32,1),(40,1)}
      36:{2,4}:{(30,1),(33,1)}
      37:{3,5,6}:{(31,1),(32,1),(41,1),(42,1)}
      38:{3,4,6}:{(32,1),(33,1),(34,1),(40,1),(41,1),(42,1)}
      39:{1,5}:{(34,1),(42,1)}
      40:{2,4,6}:{(35,1),(36,1),(38,1),(43,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{2,5}:{(40,1),(42,1)}
      44:{4,5}:{(41,1),(42,1)}

238 :  0:{1,2,3,6}:{(2,1),(3,1),(27,1),(43,1)}
       1:{2,3,4,6}:{(2,1),(4,1),(13,1),(14,1),(27,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1),(39,1)}
       4:{2,3,5}:{(1,1),(6,1),(9,1),(19,1)}
       5:{1,3,4,6}:{(2,1),(10,1),(13,1),(25,1),(27,1)}
       6:{1,2,5}:{(2,1),(4,1),(10,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{2,3,5,6}:{(4,1),(11,1),(14,1),(27,1),(31,1)}
       9:{2,4,5}:{(4,1),(14,1),(15,1)}
      10:{1,3,5}:{(5,1),(6,1),(17,1),(19,1)}
      11:{1,2,5,6}:{(6,1),(8,1),(16,1),(18,1),(40,1),(44,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(9,1),(17,1),(18,1),(19,1),(24,1),(35,1),(38,1)}
      13:{3,4}:{(7,1),(19,1)}
      14:{2,4,6}:{(8,1),(9,1),(23,1)}
      15:{3,4,5}:{(9,1),(19,1),(23,1),(24,1)}
      16:{1,3,5,6}:{(10,1),(11,1),(25,1),(27,1),(41,1)}
      17:{1,4,5}:{(10,1),(25,1),(26,1)}
      18:{1,2,4,6}:{(11,1),(12,1),(14,1),(25,1),(27,1),(32,1),(42,1),(43,1)}
      19:{3,5}:{(12,1),(13,1),(27,1)}
      20:{1,3,4}:{(13,1),(28,1),(30,1)}
      21:{2,3,4}:{(13,1),(29,1),(30,1)}
      22:{2,4,5,6}:{(14,1),(31,1)}
      23:{3,4,6}:{(14,1),(15,1),(27,1),(31,1),(32,1)}
      24:{1,4,5}:{(15,1),(28,1),(32,1)}
      25:{1,4,6}:{(16,1),(17,1),(34,1)}
      26:{3,4,5}:{(17,1),(19,1),(34,1),(35,1)}
      27:{3,6}:{(18,1),(19,1)}
      28:{1,3,5}:{(19,1),(20,1),(24,1),(36,1),(38,1)}
      29:{2,3,5}:{(19,1),(21,1),(35,1),(37,1),(38,1)}
      30:{1,2,4}:{(20,1),(21,1),(38,1),(39,1)}
      31:{3,5,6}:{(22,1),(23,1),(40,1)}
      32:{1,4,6}:{(23,1),(24,1),(36,1),(40,1)}
      33:{1,4,5,6}:{(25,1),(41,1)}
      34:{3,4,6}:{(25,1),(26,1),(27,1),(41,1),(42,1)}
      35:{2,4,5}:{(26,1),(29,1),(42,1)}
      36:{1,3,6}:{(27,1),(28,1),(32,1),(43,1)}
      37:{2,3,6}:{(27,1),(29,1),(42,1),(43,1)}
      38:{1,2,5}:{(28,1),(29,1),(30,1),(43,1)}
      39:{1,2,3}:{(30,1)}
      40:{1,5,6}:{(31,1),(32,1)}
      41:{3,5,6}:{(33,1),(34,1),(44,1)}
      42:{2,4,6}:{(34,1),(35,1),(37,1),(44,1)}
      43:{1,2,6}:{(36,1),(37,1),(38,1)}
      44:{2,5,6}:{(41,1),(42,1)}

239 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(12,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(11,1),(14,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(5,1),(19,1),(20,1),(27,1)}
       3:{1,4,6}:{(0,1),(6,1),(7,1),(25,1)}
       4:{2,4,6}:{(1,1),(8,1),(9,1),(26,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(11,1),(13,1),(15,1),(24,1),(28,1)}
       6:{1,4,5}:{(3,1),(12,1)}
       7:{3,4,6}:{(3,1),(11,1),(12,1),(13,1),(21,1)}
       8:{2,4,5}:{(4,1),(14,1)}
       9:{3,4,6}:{(4,1),(11,1),(14,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(8,1),(16,1),(19,1),(20,1),(25,1),(26,1),(27,1)}
      11:{3,6}:{(5,1),(16,1),(29,1)}
      12:{3,5}:{(6,1),(7,1),(19,1)}
      13:{2,4,6}:{(7,1),(18,1),(19,1),(26,1)}
      14:{3,5}:{(8,1),(9,1),(20,1)}
      15:{1,4,6}:{(9,1),(17,1),(20,1),(25,1)}
      16:{3,5}:{(10,1),(11,1),(21,1)}
      17:{1,3,6}:{(11,1),(15,1),(22,1),(24,1)}
      18:{2,3,6}:{(11,1),(13,1),(23,1),(24,1)}
      19:{2,5}:{(12,1),(13,1)}
      20:{1,5}:{(14,1),(15,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(17,1),(20,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(18,1),(19,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(17,1),(18,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

240 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(16,1)}
       1:{3,5,6}:{(0,1),(2,1),(22,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(14,1),(19,1),(26,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(15,1),(19,1),(25,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(22,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(29,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(28,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(21,1)}
       9:{1,4,5}:{(5,1),(6,1),(14,1)}
      10:{2,4,5}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(14,1),(17,1),(19,1),(27,1)}
      12:{2,3,4,6}:{(7,1),(15,1),(18,1),(19,1),(27,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(16,1),(19,1)}
      14:{1,3,5}:{(9,1),(11,1),(20,1),(22,1)}
      15:{2,3,5}:{(10,1),(12,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(13,1),(20,1),(21,1),(22,1),(28,1),(29,1)}
      17:{1,2,4,6}:{(11,1),(20,1),(23,1),(28,1)}
      18:{1,2,4,6}:{(12,1),(21,1),(24,1),(29,1)}
      19:{3,6}:{(13,1),(22,1)}
      20:{1,2,5}:{(14,1),(17,1),(25,1)}
      21:{1,2,5}:{(15,1),(18,1),(26,1)}
      22:{3,5}:{(16,1),(19,1),(27,1)}
      23:{2,3,6}:{(17,1),(19,1),(25,1)}
      24:{1,3,6}:{(18,1),(19,1),(26,1)}
      25:{2,3,5}:{(20,1),(22,1),(23,1),(28,1)}
      26:{1,3,5}:{(21,1),(22,1),(24,1),(29,1)}
      27:{3,4}:{(22,1),(28,1),(29,1)}
      28:{2,4}:{(25,1),(27,1)}
      29:{1,4}:{(26,1),(27,1)}

241 :  0:{1,2,3}:{(3,1)}
       1:{2,3,4}:{(3,1),(4,1),(12,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(8,1),(20,1),(23,1),(26,1),(43,1)}
       3:{1,2,4}:{(0,1),(1,1),(5,1),(8,1)}
       4:{2,3,5}:{(1,1),(8,1),(9,1),(10,1),(23,1)}
       5:{1,3,4}:{(3,1),(11,1),(12,1)}
       6:{1,2,4}:{(2,1),(12,1)}
       7:{1,2,3,6}:{(2,1),(14,1),(15,1),(35,1),(52,1)}
       8:{1,2,5}:{(3,1),(4,1),(11,1),(15,1)}
       9:{2,4,5}:{(4,1),(16,1),(17,1)}
      10:{2,3,6}:{(4,1),(15,1),(17,1),(35,1)}
      11:{1,3,5}:{(5,1),(8,1),(18,1),(19,1),(23,1)}
      12:{3,4}:{(6,1),(23,1)}
      13:{1,2,4,5}:{(6,1),(8,1),(9,1),(18,1),(23,1),(25,1),(26,1),(27,1),(40,1),(43,1),(47,1)}
      14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1)}
      15:{1,2,6}:{(8,1),(10,1),(19,1)}
      16:{3,4,5}:{(9,1),(23,1),(27,1),(28,1),(47,1)}
      17:{2,4,6}:{(9,1),(10,1),(28,1),(29,1)}
      18:{1,4,5}:{(11,1),(30,1),(31,1)}
      19:{1,3,6}:{(11,1),(15,1),(31,1),(35,1)}
      20:{1,2,3}:{(32,1)}
      21:{2,3,4}:{(12,1),(32,1),(33,1)}
      22:{1,3,4}:{(12,1),(32,1),(34,1)}
      23:{3,5}:{(12,1),(13,1),(35,1)}
      24:{3,4,6}:{(12,1),(14,1),(35,1),(36,1),(53,1)}
      25:{1,2,4,6}:{(13,1),(15,1),(17,1),(31,1),(35,1),(37,1),(38,1),(50,1),(52,1),(53,1)}
      26:{1,2,5}:{(14,1),(36,1)}
      27:{1,4,5}:{(16,1),(34,1),(38,1)}
      28:{3,4,6}:{(16,1),(17,1),(35,1),(38,1),(39,1),(53,1)}
      29:{2,5,6}:{(17,1),(39,1)}
      30:{3,4,5}:{(18,1),(23,1),(40,1),(41,1),(47,1)}
      31:{1,4,6}:{(18,1),(19,1),(41,1),(42,1)}
      32:{1,2,4}:{(20,1),(21,1),(22,1),(43,1)}
      33:{2,3,5}:{(21,1),(23,1),(40,1),(43,1),(44,1)}
      34:{1,3,5}:{(22,1),(23,1),(27,1),(43,1),(45,1)}
      35:{3,6}:{(23,1),(25,1)}
      36:{3,5}:{(24,1),(26,1),(47,1)}
      37:{1,2,5,6}:{(25,1),(26,1),(29,1),(42,1),(46,1),(48,1),(54,1)}
      38:{1,4,6}:{(27,1),(28,1),(45,1),(48,1)}
      39:{3,5,6}:{(28,1),(29,1),(48,1),(49,1)}
      40:{2,4,5}:{(30,1),(33,1),(50,1)}
      41:{3,4,6}:{(30,1),(31,1),(35,1),(50,1),(51,1),(53,1)}
      42:{1,5,6}:{(31,1),(51,1)}
      43:{1,2,5}:{(32,1),(33,1),(34,1),(52,1)}
      44:{2,3,6}:{(33,1),(35,1),(50,1),(52,1)}
      45:{1,3,6}:{(34,1),(35,1),(38,1),(52,1)}
      46:{3,5,6}:{(35,1),(36,1),(37,1),(53,1)}
      47:{4,5}:{(36,1),(53,1)}
      48:{1,5,6}:{(38,1),(39,1)}
      49:{4,5,6}:{(39,1),(53,1)}
      50:{2,4,6}:{(40,1),(41,1),(44,1),(54,1)}
      51:{3,5,6}:{(41,1),(42,1),(54,1),(55,1)}
      52:{1,2,6}:{(43,1),(44,1),(45,1)}
      53:{4,6}:{(46,1),(47,1)}
      54:{2,5,6}:{(50,1),(51,1)}
      55:{4,5,6}:{(51,1),(53,1)}

242 :  0:{1,3,4,5}:{(1,1),(2,1),(18,1),(38,1),(43,1)}
       1:{1,2,4,5}:{(0,1),(3,1),(4,1),(11,1),(30,1),(33,1)}
       2:{1,3,4,6}:{(0,1),(4,1),(5,1),(34,1)}
       3:{2,3,5}:{(1,1),(7,1),(8,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(24,1)}
       5:{1,3,5,6}:{(2,1),(9,1),(10,1),(25,1),(38,1)}
       6:{1,2,3,5}:{(3,1),(11,1),(12,1),(27,1),(30,1)}
       7:{2,3,4}:{(3,1),(11,1)}
       8:{2,3,6}:{(3,1),(4,1)}
       9:{1,2,5,6}:{(4,1),(5,1),(15,1),(30,1)}
      10:{1,4,5,6}:{(5,1),(17,1),(48,1)}
      11:{1,2,4}:{(6,1),(7,1),(18,1)}
      12:{1,2,3,6}:{(6,1),(8,1),(20,1),(37,1)}
      13:{2,3,4,5}:{(7,1),(19,1),(22,1),(23,1),(58,1)}
      14:{2,3,4,6}:{(7,1),(8,1),(20,1),(23,1),(24,1),(41,1)}
      15:{2,3,5,6}:{(8,1),(9,1),(23,1),(24,1),(25,1)}
      16:{1,2,4,5,6}:{(9,1),(10,1),(24,1),(25,1),(26,1),(40,1),(44,1),(46,1)}
      17:{3,4,5,6}:{(10,1),(25,1),(26,1),(58,1)}
      18:{1,3,4}:{(11,1),(27,1)}
      19:{1,2,4,5}:{(11,1),(13,1),(27,1),(29,1),(30,1),(48,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(14,1),(28,1),(30,1)}
      21:{1,2,3,5,6}:{(12,1),(15,1),(30,1),(31,1),(35,1),(47,1),(50,1),(70,1),(71,1),(72,1)}
      22:{2,3,4,6}:{(13,1),(29,1),(32,1),(66,1)}
      23:{2,3,5}:{(14,1),(30,1),(33,1),(50,1)}
      24:{2,4,6}:{(15,1),(33,1),(34,1)}
      25:{3,5,6}:{(16,1),(34,1),(50,1)}
      26:{2,4,5,6}:{(17,1),(36,1),(68,1)}
      27:{1,3,5}:{(18,1),(19,1),(37,1)}
      28:{1,3,4,6}:{(18,1),(20,1),(37,1),(38,1),(41,1),(57,1)}
      29:{1,2,4,6}:{(19,1),(22,1),(37,1),(39,1),(57,1)}
      30:{1,2,5}:{(20,1),(23,1),(38,1)}
      31:{1,2,4,6}:{(21,1),(24,1),(40,1),(41,1),(44,1),(57,1),(75,1)}
      32:{2,3,5,6}:{(22,1),(23,1),(39,1),(42,1),(59,1)}
      33:{2,4,5}:{(23,1),(24,1),(43,1)}
      34:{3,4,6}:{(24,1),(25,1),(43,1),(44,1)}
      35:{1,3,5,6}:{(25,1),(44,1),(46,1),(60,1),(65,1)}
      36:{2,3,5,6}:{(25,1),(26,1),(45,1),(46,1),(61,1)}
      37:{1,3,6}:{(27,1),(29,1)}
      38:{1,3,5}:{(28,1),(30,1),(48,1),(50,1)}
      39:{1,2,5,6}:{(29,1),(30,1),(32,1),(47,1)}
      40:{1,2,4,5}:{(30,1),(31,1),(33,1),(48,1),(50,1),(54,1),(68,1),(71,1)}
      41:{3,4,6}:{(31,1),(50,1)}
      42:{2,4,5,6}:{(32,1),(33,1),(53,1)}
      43:{3,4,5}:{(33,1),(34,1),(50,1),(54,1)}
      44:{1,4,6}:{(34,1),(35,1),(54,1)}
      45:{2,3,4,6}:{(34,1),(36,1),(55,1),(56,1)}
      46:{1,2,5,6}:{(35,1),(36,1),(56,1),(71,1)}
      47:{1,3,5,6}:{(37,1),(38,1),(39,1),(57,1),(59,1)}
      48:{1,4,5}:{(38,1),(57,1),(58,1)}
      49:{1,2,4,5,6}:{(39,1),(40,1),(42,1),(57,1),(59,1),(63,1),(75,1),(77,1)}
      50:{3,5}:{(40,1),(41,1)}
      51:{1,3,4,6}:{(41,1),(44,1),(60,1),(62,1),(65,1),(79,1)}
      52:{2,3,4,6}:{(41,1),(61,1),(62,1),(75,1),(83,1),(84,1)}
      53:{3,4,5,6}:{(42,1),(43,1),(59,1),(63,1)}
      54:{1,4,5}:{(43,1),(44,1),(60,1)}
      55:{2,3,4,5}:{(43,1),(45,1),(61,1),(64,1),(84,1)}
      56:{1,2,4,6}:{(44,1),(45,1),(46,1),(64,1),(65,1)}
      57:{1,4,6}:{(47,1),(48,1),(66,1)}
      58:{3,4,5}:{(48,1),(50,1),(66,1),(68,1)}
      59:{3,5,6}:{(49,1),(50,1),(66,1)}
      60:{1,3,5}:{(50,1),(51,1),(54,1),(71,1)}
      61:{2,3,5}:{(50,1),(52,1),(68,1),(71,1)}
      62:{1,2,4,6}:{(51,1),(52,1),(71,1),(72,1),(82,1)}
      63:{1,4,5,6}:{(53,1),(54,1),(69,1)}
      64:{1,2,4,5}:{(54,1),(55,1),(56,1),(71,1),(73,1),(82,1)}
      65:{1,3,6}:{(56,1),(73,1)}
      66:{3,4,6}:{(57,1),(58,1),(59,1),(75,1)}
      67:{1,3,4,5}:{(58,1),(60,1),(74,1),(76,1),(79,1)}
      68:{2,4,5}:{(58,1),(61,1),(75,1)}
      69:{1,3,5,6}:{(59,1),(60,1),(63,1),(74,1),(77,1)}
      70:{2,3,5,6}:{(59,1),(61,1),(75,1),(77,1),(83,1)}
      71:{1,2,5}:{(60,1),(61,1),(62,1)}
      72:{1,2,3,6}:{(62,1),(65,1),(78,1),(83,1)}
      73:{1,3,5}:{(64,1),(65,1),(79,1)}
      74:{1,3,4,6}:{(66,1),(67,1),(69,1),(80,1)}
      75:{2,4,6}:{(66,1),(68,1),(70,1)}
      76:{1,2,4,5}:{(67,1),(68,1),(71,1),(80,1),(81,1),(82,1)}
      77:{1,2,5,6}:{(69,1),(70,1),(71,1),(80,1)}
      78:{1,2,3,5}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
      79:{1,3,4}:{(73,1),(82,1)}
      80:{1,2,4,6}:{(74,1),(75,1),(76,1),(77,1),(83,1)}
      81:{2,3,5}:{(76,1),(83,1),(84,1)}
      82:{1,2,4}:{(78,1),(79,1),(84,1)}
      83:{2,3,6}:{(80,1),(81,1)}
      84:{2,3,4}:{(81,1),(82,1)}

243 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(10,1),(20,1)}
       1:{1,2,5,6}:{(0,1),(4,1),(5,1),(13,1),(26,1),(27,1)}
       2:{2,4,6}:{(0,1),(3,1),(6,1),(25,1)}
       3:{2,4,5}:{(2,1),(8,1)}
       4:{1,3,5,6}:{(1,1),(9,1),(10,1),(19,1),(21,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(10,1),(11,1),(22,1),(23,1),(28,1)}
       6:{3,4,6}:{(2,1),(8,1),(10,1),(11,1),(18,1)}
       7:{1,2,4,5}:{(3,1),(5,1),(12,1),(13,1),(14,1),(24,1),(25,1),(26,1),(27,1)}
       8:{3,5}:{(3,1),(6,1),(13,1)}
       9:{1,4,6}:{(4,1),(14,1),(15,1),(24,1)}
      10:{3,6}:{(5,1),(12,1),(29,1)}
      11:{1,4,6}:{(6,1),(13,1),(16,1),(24,1)}
      12:{3,5}:{(7,1),(10,1),(18,1)}
      13:{1,5}:{(8,1),(11,1)}
      14:{1,4,5}:{(9,1),(21,1)}
      15:{3,4,6}:{(9,1),(10,1),(18,1),(21,1),(22,1)}
      16:{1,3,6}:{(10,1),(11,1),(19,1),(23,1)}
      17:{2,3,6}:{(10,1),(20,1),(22,1),(23,1)}
      18:{3,4}:{(12,1),(24,1),(25,1),(29,1)}
      19:{1,3,5}:{(12,1),(13,1),(16,1),(24,1),(26,1),(29,1)}
      20:{2,3,5}:{(12,1),(17,1),(25,1),(26,1),(27,1),(29,1)}
      21:{3,5}:{(14,1),(15,1),(27,1)}
      22:{2,4,6}:{(15,1),(17,1),(25,1),(27,1)}
      23:{1,2,6}:{(16,1),(17,1),(26,1)}
      24:{1,4}:{(18,1),(19,1)}
      25:{2,4}:{(18,1),(20,1)}
      26:{1,2,5}:{(19,1),(20,1),(23,1),(28,1)}
      27:{2,5}:{(21,1),(22,1)}
      28:{1,2,4}:{(24,1),(25,1),(26,1),(29,1)}
      29:{3}:{(28,1)}

244 :  0:{1,4,5,6}:{(2,1),(13,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(13,1),(27,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{1,3,5}:{(1,1),(9,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(27,1)}
       7:{1,3,5,6}:{(2,1),(4,1),(13,1),(15,1),(27,1)}
       8:{2,5,6}:{(2,1),(14,1)}
       9:{1,4,5}:{(3,1),(4,1),(13,1)}
      10:{2,4,5}:{(3,1),(14,1),(16,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{2,3,6}:{(5,1),(18,1),(27,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1),(19,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(20,1),(21,1),(39,1)}
      16:{2,3,5}:{(10,1),(19,1),(22,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(20,1),(23,1),(24,1),(25,1),(34,1),(36,1),(39,1)}
      18:{2,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{2,3,6}:{(14,1),(16,1),(26,1),(27,1)}
      20:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      21:{2,3,5,6}:{(15,1),(18,1),(27,1),(28,1),(38,1)}
      22:{2,3,4}:{(16,1),(29,1),(31,1)}
      23:{1,2,5}:{(16,1),(26,1),(29,1),(30,1)}
      24:{3,5}:{(17,1),(27,1),(31,1)}
      25:{2,4}:{(18,1),(31,1)}
      26:{1,2,6}:{(19,1),(23,1),(32,1)}
      27:{3,6}:{(20,1),(24,1)}
      28:{2,4,6}:{(21,1),(25,1),(33,1),(34,1)}
      29:{1,2,4}:{(22,1),(23,1),(35,1),(36,1)}
      30:{1,3,5}:{(23,1),(24,1),(32,1),(35,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{1,3,6}:{(26,1),(27,1),(30,1),(37,1)}
      33:{3,4,6}:{(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{2,4,5}:{(28,1),(38,1)}
      35:{1,3}:{(29,1)}
      36:{1,4}:{(30,1),(31,1)}
      37:{1,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{3,5}:{(33,1),(34,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

245 :  0:{2,4,5,6}:{(1,1),(10,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1)}
       2:{2,3,4,6}:{(7,1),(8,1),(10,1),(23,1),(34,1),(35,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(23,1)}
       4:{1,5,6}:{(1,1),(9,1)}
       5:{2,3,5,6}:{(1,1),(7,1),(10,1),(11,1),(23,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(27,1)}
       7:{2,3,5}:{(2,1),(13,1),(14,1),(27,1),(39,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(28,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1),(16,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1)}
      12:{1,4,5}:{(6,1),(9,1),(19,1)}
      13:{2,4,5}:{(6,1),(7,1),(10,1)}
      14:{1,2,5}:{(7,1),(8,1),(21,1)}
      15:{1,3,6}:{(8,1),(21,1),(23,1)}
      16:{1,3,6}:{(9,1),(19,1),(22,1),(23,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(20,1),(22,1),(23,1),(24,1),(35,1)}
      18:{1,3,5,6}:{(11,1),(21,1),(23,1),(24,1),(36,1)}
      19:{1,3,5}:{(12,1),(16,1),(25,1),(26,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(31,1),(38,1),(39,1)}
      21:{1,3,5}:{(14,1),(15,1),(27,1),(28,1)}
      22:{1,2,6}:{(16,1),(26,1),(29,1)}
      23:{3,6}:{(17,1),(27,1)}
      24:{1,4,6}:{(18,1),(28,1),(30,1),(31,1)}
      25:{1,3,4}:{(19,1),(32,1),(34,1)}
      26:{1,2,5}:{(19,1),(22,1),(32,1),(33,1)}
      27:{3,5}:{(20,1),(23,1),(34,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{2,3,6}:{(22,1),(23,1),(33,1),(35,1)}
      30:{3,4,6}:{(23,1),(24,1),(34,1),(35,1),(36,1)}
      31:{1,4,5}:{(24,1),(36,1)}
      32:{1,2,4}:{(25,1),(26,1),(37,1),(38,1)}
      33:{2,3,5}:{(26,1),(27,1),(29,1),(37,1),(38,1),(39,1)}
      34:{3,4}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(29,1),(30,1),(38,1),(39,1)}
      36:{3,5}:{(30,1),(31,1),(39,1)}
      37:{2,3}:{(32,1)}
      38:{2,4}:{(33,1),(34,1)}
      39:{2,5}:{(35,1),(36,1)}

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

247 :  0:{2,3,4}:{(2,1),(3,1),(31,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(22,1),(44,1)}
       2:{2,3,5}:{(0,1),(6,1),(8,1),(9,1),(22,1)}
       3:{1,2,4}:{(0,1),(8,1),(10,1),(27,1)}
       4:{1,3,4}:{(11,1),(12,1),(31,1)}
       5:{1,4,5}:{(1,1),(11,1),(14,1)}
       6:{2,4,5}:{(1,1),(2,1),(15,1)}
       7:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(32,1),(42,1)}
       8:{1,2,5}:{(2,1),(3,1),(17,1),(18,1)}
       9:{2,3,6}:{(2,1),(15,1),(18,1),(32,1)}
      10:{1,3}:{(3,1)}
      11:{1,3,5}:{(4,1),(5,1),(19,1),(20,1),(22,1)}
      12:{1,2,4}:{(4,1),(19,1),(21,1),(35,1)}
      13:{1,2,4,5}:{(5,1),(6,1),(8,1),(19,1),(22,1),(23,1),(27,1),(35,1),(39,1),(43,1),(44,1)}
      14:{1,4,6}:{(5,1),(7,1),(20,1),(24,1)}
      15:{2,4,6}:{(6,1),(7,1),(9,1),(25,1)}
      16:{3,5,6}:{(7,1),(24,1),(25,1),(26,1)}
      17:{1,3,5}:{(8,1),(10,1),(22,1),(27,1),(28,1),(39,1)}
      18:{1,2,6}:{(8,1),(9,1),(28,1)}
      19:{1,2,5}:{(11,1),(12,1),(29,1),(30,1)}
      20:{1,3,6}:{(11,1),(14,1),(30,1),(32,1)}
      21:{2,3}:{(12,1)}
      22:{3,5}:{(13,1),(31,1),(32,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(15,1),(18,1),(30,1),(32,1),(33,1),(34,1),(40,1),(42,1)}
      24:{1,5,6}:{(14,1),(16,1)}
      25:{2,5,6}:{(15,1),(16,1)}
      26:{4,5,6}:{(16,1),(42,1)}
      27:{1,4}:{(17,1),(31,1)}
      28:{1,3,6}:{(17,1),(18,1),(32,1),(34,1)}
      29:{2,3,5}:{(19,1),(21,1),(22,1),(35,1),(36,1),(43,1)}
      30:{1,2,6}:{(19,1),(20,1),(36,1)}
      31:{3,4}:{(22,1),(27,1),(35,1)}
      32:{3,6}:{(22,1),(23,1)}
      33:{1,2,5,6}:{(23,1),(24,1),(25,1),(38,1),(39,1),(43,1)}
      34:{1,4,6}:{(27,1),(28,1),(37,1),(39,1)}
      35:{2,4}:{(29,1),(31,1)}
      36:{2,3,6}:{(29,1),(30,1),(32,1),(40,1)}
      37:{3,4,6}:{(31,1),(32,1),(34,1),(40,1),(41,1),(42,1)}
      38:{3,5,6}:{(32,1),(33,1),(41,1),(42,1)}
      39:{1,5}:{(34,1),(41,1)}
      40:{2,4,6}:{(35,1),(36,1),(37,1),(43,1)}
      41:{3,5}:{(37,1),(39,1),(43,1),(44,1)}
      42:{4,6}:{(38,1),(44,1)}
      43:{2,5}:{(40,1),(41,1)}
      44:{4,5}:{(41,1),(42,1)}

248 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(21,1),(23,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(16,1)}
       2:{1,3,5}:{(0,1),(5,1),(6,1),(17,1),(38,1)}
       3:{1,3,5,6}:{(2,1),(7,1),(8,1),(19,1),(21,1)}
       4:{2,3,6}:{(1,1),(9,1),(21,1)}
       5:{1,2,5}:{(1,1),(2,1),(9,1)}
       6:{1,4,5}:{(2,1),(8,1),(11,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(13,1),(14,1),(26,1),(38,1)}
       8:{1,4,6}:{(3,1),(6,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(16,1),(17,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(14,1),(16,1),(17,1),(18,1),(27,1),(31,1),(33,1),(38,1)}
      11:{3,4,5}:{(6,1),(15,1),(17,1),(18,1)}
      12:{1,4,5,6}:{(8,1),(19,1)}
      13:{2,3,5,6}:{(7,1),(9,1),(20,1),(21,1),(34,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1),(35,1),(36,1)}
      15:{3,4,6}:{(8,1),(11,1),(19,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(23,1)}
      17:{3,5}:{(10,1),(21,1),(23,1)}
      18:{2,4,5}:{(11,1),(22,1),(25,1)}
      19:{3,5,6}:{(12,1),(15,1),(26,1)}
      20:{2,4,6}:{(13,1),(16,1),(27,1),(28,1)}
      21:{3,6}:{(14,1),(17,1)}
      22:{2,4,6}:{(15,1),(18,1),(26,1),(30,1)}
      23:{3,4}:{(16,1),(17,1),(31,1)}
      24:{1,3,5}:{(17,1),(29,1),(31,1),(33,1),(38,1),(39,1)}
      25:{2,3,5}:{(17,1),(18,1),(30,1),(32,1),(33,1)}
      26:{2,5,6}:{(19,1),(22,1)}
      27:{2,4,5}:{(20,1),(34,1)}
      28:{3,4,6}:{(20,1),(21,1),(23,1),(34,1),(35,1)}
      29:{1,3,6}:{(21,1),(24,1),(35,1),(36,1)}
      30:{2,3,6}:{(21,1),(22,1),(25,1),(36,1)}
      31:{1,4}:{(23,1),(24,1)}
      32:{2,3,4}:{(23,1),(25,1),(37,1)}
      33:{1,2,5}:{(24,1),(25,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(28,1),(29,1),(31,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(37,1)}

249 :  0:{1,3,4}:{(2,1),(3,1),(33,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(25,1),(44,1)}
       2:{1,3,5}:{(0,1),(6,1),(8,1),(9,1),(25,1)}
       3:{1,2,4}:{(0,1),(9,1),(10,1),(27,1)}
       4:{4,5,6}:{(13,1),(41,1)}
       5:{3,4,6}:{(1,1),(13,1),(14,1),(15,1),(32,1),(41,1)}
       6:{1,4,5}:{(1,1),(2,1),(14,1)}
       7:{2,4,5}:{(1,1),(12,1),(15,1)}
       8:{1,3,6}:{(2,1),(14,1),(17,1),(32,1)}
       9:{1,2,5}:{(2,1),(3,1),(17,1),(18,1)}
      10:{2,3}:{(3,1)}
      11:{2,3,4}:{(12,1),(19,1),(33,1)}
      12:{2,3,5}:{(7,1),(11,1),(20,1),(21,1),(25,1)}
      13:{3,5,6}:{(4,1),(5,1),(22,1),(23,1)}
      14:{1,4,6}:{(5,1),(6,1),(8,1),(22,1)}
      15:{2,4,6}:{(5,1),(7,1),(20,1),(23,1)}
      16:{1,2,4,5}:{(6,1),(7,1),(9,1),(21,1),(24,1),(25,1),(27,1),(36,1),(39,1),(43,1),(44,1)}
      17:{1,2,6}:{(8,1),(9,1),(26,1)}
      18:{2,3,5}:{(9,1),(10,1),(25,1),(26,1),(27,1),(39,1)}
      19:{1,2,4}:{(11,1),(21,1),(28,1),(36,1)}
      20:{2,3,6}:{(12,1),(15,1),(29,1),(32,1)}
      21:{1,2,5}:{(12,1),(19,1),(29,1),(30,1)}
      22:{1,5,6}:{(13,1),(14,1)}
      23:{2,5,6}:{(13,1),(15,1)}
      24:{1,2,4,6}:{(14,1),(15,1),(16,1),(17,1),(29,1),(31,1),(32,1),(34,1),(40,1),(41,1)}
      25:{3,5}:{(16,1),(32,1),(33,1)}
      26:{2,3,6}:{(17,1),(18,1),(32,1),(34,1)}
      27:{2,4}:{(18,1),(33,1)}
      28:{1,3}:{(19,1)}
      29:{1,2,6}:{(20,1),(21,1),(35,1)}
      30:{1,3,5}:{(21,1),(25,1),(28,1),(35,1),(36,1),(43,1)}
      31:{1,2,5,6}:{(22,1),(23,1),(24,1),(37,1),(39,1),(43,1)}
      32:{3,6}:{(24,1),(25,1)}
      33:{3,4}:{(25,1),(27,1),(36,1)}
      34:{2,4,6}:{(26,1),(27,1),(38,1),(39,1)}
      35:{1,3,6}:{(29,1),(30,1),(32,1),(40,1)}
      36:{1,4}:{(30,1),(33,1)}
      37:{3,5,6}:{(31,1),(32,1),(41,1),(42,1)}
      38:{3,4,6}:{(32,1),(33,1),(34,1),(40,1),(41,1),(42,1)}
      39:{2,5}:{(34,1),(42,1)}
      40:{1,4,6}:{(35,1),(36,1),(38,1),(43,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{1,5}:{(40,1),(42,1)}
      44:{4,5}:{(41,1),(42,1)}

250 :  0:{1,2,3,6}:{(2,1),(3,1),(27,1),(43,1)}
       1:{1,3,4,6}:{(2,1),(4,1),(13,1),(14,1),(27,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1),(39,1)}
       4:{1,3,5}:{(1,1),(6,1),(9,1),(19,1)}
       5:{2,3,4,6}:{(2,1),(10,1),(13,1),(25,1),(27,1)}
       6:{1,2,5}:{(2,1),(4,1),(10,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{1,3,5,6}:{(4,1),(11,1),(14,1),(27,1),(31,1)}
       9:{1,4,5}:{(4,1),(14,1),(15,1)}
      10:{2,3,5}:{(5,1),(6,1),(17,1),(19,1)}
      11:{1,2,5,6}:{(6,1),(8,1),(16,1),(18,1),(40,1),(44,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(9,1),(17,1),(18,1),(19,1),(24,1),(35,1),(38,1)}
      13:{3,4}:{(7,1),(19,1)}
      14:{1,4,6}:{(8,1),(9,1),(23,1)}
      15:{3,4,5}:{(9,1),(19,1),(23,1),(24,1)}
      16:{2,3,5,6}:{(10,1),(11,1),(25,1),(27,1),(41,1)}
      17:{2,4,5}:{(10,1),(25,1),(26,1)}
      18:{1,2,4,6}:{(11,1),(12,1),(14,1),(25,1),(27,1),(32,1),(42,1),(43,1)}
      19:{3,5}:{(12,1),(13,1),(27,1)}
      20:{1,3,4}:{(13,1),(28,1),(30,1)}
      21:{2,3,4}:{(13,1),(29,1),(30,1)}
      22:{1,4,5,6}:{(14,1),(31,1)}
      23:{3,4,6}:{(14,1),(15,1),(27,1),(31,1),(32,1)}
      24:{2,4,5}:{(15,1),(29,1),(32,1)}
      25:{2,4,6}:{(16,1),(17,1),(34,1)}
      26:{3,4,5}:{(17,1),(19,1),(34,1),(35,1)}
      27:{3,6}:{(18,1),(19,1)}
      28:{1,3,5}:{(19,1),(20,1),(35,1),(36,1),(38,1)}
      29:{2,3,5}:{(19,1),(21,1),(24,1),(37,1),(38,1)}
      30:{1,2,4}:{(20,1),(21,1),(38,1),(39,1)}
      31:{3,5,6}:{(22,1),(23,1),(40,1)}
      32:{2,4,6}:{(23,1),(24,1),(37,1),(40,1)}
      33:{2,4,5,6}:{(25,1),(41,1)}
      34:{3,4,6}:{(25,1),(26,1),(27,1),(41,1),(42,1)}
      35:{1,4,5}:{(26,1),(28,1),(42,1)}
      36:{1,3,6}:{(27,1),(28,1),(42,1),(43,1)}
      37:{2,3,6}:{(27,1),(29,1),(32,1),(43,1)}
      38:{1,2,5}:{(28,1),(29,1),(30,1),(43,1)}
      39:{1,2,3}:{(30,1)}
      40:{2,5,6}:{(31,1),(32,1)}
      41:{3,5,6}:{(33,1),(34,1),(44,1)}
      42:{1,4,6}:{(34,1),(35,1),(36,1),(44,1)}
      43:{1,2,6}:{(36,1),(37,1),(38,1)}
      44:{1,5,6}:{(41,1),(42,1)}

251 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(12,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(11,1),(14,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(5,1),(19,1),(20,1),(27,1)}
       3:{1,4,6}:{(0,1),(6,1),(7,1),(25,1)}
       4:{2,4,6}:{(1,1),(8,1),(9,1),(26,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(11,1),(13,1),(15,1),(24,1),(28,1)}
       6:{1,4,5}:{(3,1),(12,1)}
       7:{3,4,6}:{(3,1),(11,1),(12,1),(13,1),(21,1)}
       8:{2,4,5}:{(4,1),(14,1)}
       9:{3,4,6}:{(4,1),(11,1),(14,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(8,1),(16,1),(19,1),(20,1),(25,1),(26,1),(27,1)}
      11:{3,6}:{(5,1),(16,1),(29,1)}
      12:{3,5}:{(6,1),(7,1),(19,1)}
      13:{2,4,6}:{(7,1),(18,1),(19,1),(26,1)}
      14:{3,5}:{(8,1),(9,1),(20,1)}
      15:{1,4,6}:{(9,1),(17,1),(20,1),(25,1)}
      16:{3,5}:{(10,1),(11,1),(21,1)}
      17:{1,3,6}:{(11,1),(15,1),(22,1),(24,1)}
      18:{2,3,6}:{(11,1),(13,1),(23,1),(24,1)}
      19:{2,5}:{(12,1),(13,1)}
      20:{1,5}:{(14,1),(15,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(17,1),(20,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(18,1),(19,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(17,1),(18,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

252 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(16,1)}
       1:{3,5,6}:{(0,1),(2,1),(22,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(14,1),(19,1),(26,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(15,1),(19,1),(25,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(22,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(29,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(28,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(21,1)}
       9:{1,4,5}:{(5,1),(6,1),(14,1)}
      10:{2,4,5}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(14,1),(17,1),(19,1),(27,1)}
      12:{2,3,4,6}:{(7,1),(15,1),(18,1),(19,1),(27,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(16,1),(19,1)}
      14:{1,3,5}:{(9,1),(11,1),(20,1),(22,1)}
      15:{2,3,5}:{(10,1),(12,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(13,1),(20,1),(21,1),(22,1),(28,1),(29,1)}
      17:{1,2,4,6}:{(11,1),(20,1),(23,1),(28,1)}
      18:{1,2,4,6}:{(12,1),(21,1),(24,1),(29,1)}
      19:{3,6}:{(13,1),(22,1)}
      20:{1,2,5}:{(14,1),(17,1),(25,1)}
      21:{1,2,5}:{(15,1),(18,1),(26,1)}
      22:{3,5}:{(16,1),(19,1),(27,1)}
      23:{2,3,6}:{(17,1),(19,1),(25,1)}
      24:{1,3,6}:{(18,1),(19,1),(26,1)}
      25:{2,3,5}:{(20,1),(22,1),(23,1),(28,1)}
      26:{1,3,5}:{(21,1),(22,1),(24,1),(29,1)}
      27:{3,4}:{(22,1),(28,1),(29,1)}
      28:{2,4}:{(25,1),(27,1)}
      29:{1,4}:{(26,1),(27,1)}

253 :  0:{1,2,3}:{(3,1)}
       1:{1,3,4}:{(3,1),(4,1),(12,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(8,1),(20,1),(23,1),(26,1),(43,1)}
       3:{1,2,4}:{(0,1),(1,1),(5,1),(8,1)}
       4:{1,3,5}:{(1,1),(8,1),(9,1),(10,1),(23,1)}
       5:{2,3,4}:{(3,1),(11,1),(12,1)}
       6:{1,2,4}:{(2,1),(12,1)}
       7:{1,2,3,6}:{(2,1),(14,1),(15,1),(35,1),(52,1)}
       8:{1,2,5}:{(3,1),(4,1),(11,1),(15,1)}
       9:{1,4,5}:{(4,1),(16,1),(17,1)}
      10:{1,3,6}:{(4,1),(15,1),(17,1),(35,1)}
      11:{2,3,5}:{(5,1),(8,1),(18,1),(19,1),(23,1)}
      12:{3,4}:{(6,1),(23,1)}
      13:{1,2,4,5}:{(6,1),(8,1),(9,1),(18,1),(23,1),(25,1),(26,1),(27,1),(40,1),(43,1),(47,1)}
      14:{1,2,4,6}:{(6,1),(7,1),(24,1),(26,1)}
      15:{1,2,6}:{(8,1),(10,1),(19,1)}
      16:{3,4,5}:{(9,1),(23,1),(27,1),(28,1),(47,1)}
      17:{1,4,6}:{(9,1),(10,1),(28,1),(29,1)}
      18:{2,4,5}:{(11,1),(30,1),(31,1)}
      19:{2,3,6}:{(11,1),(15,1),(31,1),(35,1)}
      20:{1,2,3}:{(32,1)}
      21:{2,3,4}:{(12,1),(32,1),(33,1)}
      22:{1,3,4}:{(12,1),(32,1),(34,1)}
      23:{3,5}:{(12,1),(13,1),(35,1)}
      24:{3,4,6}:{(12,1),(14,1),(35,1),(36,1),(53,1)}
      25:{1,2,4,6}:{(13,1),(15,1),(17,1),(31,1),(35,1),(37,1),(38,1),(50,1),(52,1),(53,1)}
      26:{1,2,5}:{(14,1),(36,1)}
      27:{2,4,5}:{(16,1),(33,1),(38,1)}
      28:{3,4,6}:{(16,1),(17,1),(35,1),(38,1),(39,1),(53,1)}
      29:{1,5,6}:{(17,1),(39,1)}
      30:{3,4,5}:{(18,1),(23,1),(40,1),(41,1),(47,1)}
      31:{2,4,6}:{(18,1),(19,1),(41,1),(42,1)}
      32:{1,2,4}:{(20,1),(21,1),(22,1),(43,1)}
      33:{2,3,5}:{(21,1),(23,1),(27,1),(43,1),(44,1)}
      34:{1,3,5}:{(22,1),(23,1),(40,1),(43,1),(45,1)}
      35:{3,6}:{(23,1),(25,1)}
      36:{3,5}:{(24,1),(26,1),(47,1)}
      37:{1,2,5,6}:{(25,1),(26,1),(29,1),(42,1),(46,1),(48,1),(54,1)}
      38:{2,4,6}:{(27,1),(28,1),(44,1),(48,1)}
      39:{3,5,6}:{(28,1),(29,1),(48,1),(49,1)}
      40:{1,4,5}:{(30,1),(34,1),(50,1)}
      41:{3,4,6}:{(30,1),(31,1),(35,1),(50,1),(51,1),(53,1)}
      42:{2,5,6}:{(31,1),(51,1)}
      43:{1,2,5}:{(32,1),(33,1),(34,1),(52,1)}
      44:{2,3,6}:{(33,1),(35,1),(38,1),(52,1)}
      45:{1,3,6}:{(34,1),(35,1),(50,1),(52,1)}
      46:{3,5,6}:{(35,1),(36,1),(37,1),(53,1)}
      47:{4,5}:{(36,1),(53,1)}
      48:{2,5,6}:{(38,1),(39,1)}
      49:{4,5,6}:{(39,1),(53,1)}
      50:{1,4,6}:{(40,1),(41,1),(45,1),(54,1)}
      51:{3,5,6}:{(41,1),(42,1),(54,1),(55,1)}
      52:{1,2,6}:{(43,1),(44,1),(45,1)}
      53:{4,6}:{(46,1),(47,1)}
      54:{1,5,6}:{(50,1),(51,1)}
      55:{4,5,6}:{(51,1),(53,1)}

254 :  0:{1,3,5,6}:{(1,1),(2,1),(8,1),(10,1),(19,1)}
       1:{1,2,5,6}:{(0,1),(4,1),(5,1),(13,1),(26,1),(27,1)}
       2:{1,4,6}:{(0,1),(3,1),(6,1),(24,1)}
       3:{1,4,5}:{(2,1),(8,1)}
       4:{2,3,5,6}:{(1,1),(9,1),(10,1),(20,1),(21,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(10,1),(11,1),(22,1),(23,1),(28,1)}
       6:{3,4,6}:{(2,1),(8,1),(10,1),(11,1),(18,1)}
       7:{1,2,4,5}:{(3,1),(5,1),(12,1),(13,1),(14,1),(24,1),(25,1),(26,1),(27,1)}
       8:{3,5}:{(3,1),(6,1),(13,1)}
       9:{2,4,6}:{(4,1),(14,1),(15,1),(25,1)}
      10:{3,6}:{(5,1),(12,1),(29,1)}
      11:{2,4,6}:{(6,1),(13,1),(17,1),(25,1)}
      12:{3,5}:{(7,1),(10,1),(18,1)}
      13:{2,5}:{(8,1),(11,1)}
      14:{2,4,5}:{(9,1),(21,1)}
      15:{3,4,6}:{(9,1),(10,1),(18,1),(21,1),(22,1)}
      16:{1,3,6}:{(10,1),(19,1),(22,1),(23,1)}
      17:{2,3,6}:{(10,1),(11,1),(20,1),(23,1)}
      18:{3,4}:{(12,1),(24,1),(25,1),(29,1)}
      19:{1,3,5}:{(12,1),(16,1),(24,1),(26,1),(27,1),(29,1)}
      20:{2,3,5}:{(12,1),(13,1),(17,1),(25,1),(26,1),(29,1)}
      21:{3,5}:{(14,1),(15,1),(27,1)}
      22:{1,4,6}:{(15,1),(16,1),(24,1),(27,1)}
      23:{1,2,6}:{(16,1),(17,1),(26,1)}
      24:{1,4}:{(18,1),(19,1)}
      25:{2,4}:{(18,1),(20,1)}
      26:{1,2,5}:{(19,1),(20,1),(23,1),(28,1)}
      27:{1,5}:{(21,1),(22,1)}
      28:{1,2,4}:{(24,1),(25,1),(26,1),(29,1)}
      29:{3}:{(28,1)}

255 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(38,1),(43,1)}
       1:{1,2,4,5}:{(0,1),(3,1),(4,1),(11,1),(30,1),(33,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(34,1)}
       3:{1,3,5}:{(1,1),(7,1),(8,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(24,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(10,1),(25,1),(38,1)}
       6:{1,2,3,5}:{(3,1),(11,1),(12,1),(27,1),(30,1)}
       7:{1,3,4}:{(3,1),(11,1)}
       8:{1,3,6}:{(3,1),(4,1)}
       9:{1,2,5,6}:{(4,1),(5,1),(15,1),(30,1)}
      10:{2,4,5,6}:{(5,1),(17,1),(48,1)}
      11:{1,2,4}:{(6,1),(7,1),(18,1)}
      12:{1,2,3,6}:{(6,1),(8,1),(20,1),(37,1)}
      13:{1,3,4,5}:{(7,1),(19,1),(22,1),(23,1),(58,1)}
      14:{1,3,4,6}:{(7,1),(8,1),(20,1),(23,1),(24,1),(41,1)}
      15:{1,3,5,6}:{(8,1),(9,1),(23,1),(24,1),(25,1)}
      16:{1,2,4,5,6}:{(9,1),(10,1),(24,1),(25,1),(26,1),(40,1),(45,1),(46,1)}
      17:{3,4,5,6}:{(10,1),(25,1),(26,1),(58,1)}
      18:{2,3,4}:{(11,1),(27,1)}
      19:{1,2,4,5}:{(11,1),(13,1),(27,1),(29,1),(30,1),(48,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(14,1),(28,1),(30,1)}
      21:{1,2,3,5,6}:{(12,1),(15,1),(30,1),(31,1),(36,1),(47,1),(50,1),(69,1),(71,1),(72,1)}
      22:{1,3,4,6}:{(13,1),(29,1),(32,1),(66,1)}
      23:{1,3,5}:{(14,1),(30,1),(33,1),(50,1)}
      24:{1,4,6}:{(15,1),(33,1),(34,1)}
      25:{3,5,6}:{(16,1),(34,1),(50,1)}
      26:{1,4,5,6}:{(17,1),(35,1),(67,1)}
      27:{2,3,5}:{(18,1),(19,1),(37,1)}
      28:{2,3,4,6}:{(18,1),(20,1),(37,1),(38,1),(41,1),(57,1)}
      29:{1,2,4,6}:{(19,1),(22,1),(37,1),(39,1),(57,1)}
      30:{1,2,5}:{(20,1),(23,1),(38,1)}
      31:{1,2,4,6}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(74,1)}
      32:{1,3,5,6}:{(22,1),(23,1),(39,1),(42,1),(59,1)}
      33:{1,4,5}:{(23,1),(24,1),(43,1)}
      34:{3,4,6}:{(24,1),(25,1),(43,1),(45,1)}
      35:{1,3,5,6}:{(25,1),(26,1),(44,1),(46,1),(60,1)}
      36:{2,3,5,6}:{(25,1),(45,1),(46,1),(61,1),(65,1)}
      37:{2,3,6}:{(27,1),(29,1)}
      38:{2,3,5}:{(28,1),(30,1),(48,1),(50,1)}
      39:{1,2,5,6}:{(29,1),(30,1),(32,1),(47,1)}
      40:{1,2,4,5}:{(30,1),(31,1),(33,1),(48,1),(50,1),(55,1),(67,1),(71,1)}
      41:{3,4,6}:{(31,1),(50,1)}
      42:{1,4,5,6}:{(32,1),(33,1),(53,1)}
      43:{3,4,5}:{(33,1),(34,1),(50,1),(55,1)}
      44:{1,3,4,6}:{(34,1),(35,1),(54,1),(56,1)}
      45:{2,4,6}:{(34,1),(36,1),(55,1)}
      46:{1,2,5,6}:{(35,1),(36,1),(56,1),(71,1)}
      47:{2,3,5,6}:{(37,1),(38,1),(39,1),(57,1),(59,1)}
      48:{2,4,5}:{(38,1),(57,1),(58,1)}
      49:{1,2,4,5,6}:{(39,1),(40,1),(42,1),(57,1),(59,1),(63,1),(74,1),(77,1)}
      50:{3,5}:{(40,1),(41,1)}
      51:{1,3,4,6}:{(41,1),(60,1),(62,1),(74,1),(83,1),(84,1)}
      52:{2,3,4,6}:{(41,1),(45,1),(61,1),(62,1),(65,1),(79,1)}
      53:{3,4,5,6}:{(42,1),(43,1),(59,1),(63,1)}
      54:{1,3,4,5}:{(43,1),(44,1),(60,1),(64,1),(84,1)}
      55:{2,4,5}:{(43,1),(45,1),(61,1)}
      56:{1,2,4,6}:{(44,1),(45,1),(46,1),(64,1),(65,1)}
      57:{2,4,6}:{(47,1),(48,1),(66,1)}
      58:{3,4,5}:{(48,1),(50,1),(66,1),(67,1)}
      59:{3,5,6}:{(49,1),(50,1),(66,1)}
      60:{1,3,5}:{(50,1),(51,1),(67,1),(71,1)}
      61:{2,3,5}:{(50,1),(52,1),(55,1),(71,1)}
      62:{1,2,4,6}:{(51,1),(52,1),(71,1),(72,1),(82,1)}
      63:{2,4,5,6}:{(53,1),(55,1),(70,1)}
      64:{1,2,4,5}:{(54,1),(55,1),(56,1),(71,1),(73,1),(82,1)}
      65:{2,3,6}:{(56,1),(73,1)}
      66:{3,4,6}:{(57,1),(58,1),(59,1),(74,1)}
      67:{1,4,5}:{(58,1),(60,1),(74,1)}
      68:{2,3,4,5}:{(58,1),(61,1),(75,1),(76,1),(79,1)}
      69:{1,3,5,6}:{(59,1),(60,1),(74,1),(77,1),(83,1)}
      70:{2,3,5,6}:{(59,1),(61,1),(63,1),(75,1),(77,1)}
      71:{1,2,5}:{(60,1),(61,1),(62,1)}
      72:{1,2,3,6}:{(62,1),(65,1),(78,1),(83,1)}
      73:{2,3,5}:{(64,1),(65,1),(79,1)}
      74:{1,4,6}:{(66,1),(67,1),(69,1)}
      75:{2,3,4,6}:{(66,1),(68,1),(70,1),(80,1)}
      76:{1,2,4,5}:{(67,1),(68,1),(71,1),(80,1),(81,1),(82,1)}
      77:{1,2,5,6}:{(69,1),(70,1),(71,1),(80,1)}
      78:{1,2,3,5}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
      79:{2,3,4}:{(73,1),(82,1)}
      80:{1,2,4,6}:{(74,1),(75,1),(76,1),(77,1),(83,1)}
      81:{1,3,5}:{(76,1),(83,1),(84,1)}
      82:{1,2,4}:{(78,1),(79,1),(84,1)}
      83:{1,3,6}:{(80,1),(81,1)}
      84:{1,3,4}:{(81,1),(82,1)}

256 :  0:{1,4,5,6}:{(1,1),(9,1)}
       1:{3,5,6}:{(0,1),(3,1),(5,1)}
       2:{1,3,4,6}:{(7,1),(8,1),(9,1),(23,1),(34,1),(35,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(23,1)}
       4:{1,3,5,6}:{(1,1),(7,1),(9,1),(11,1),(23,1)}
       5:{2,5,6}:{(1,1),(10,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(27,1)}
       7:{1,3,5}:{(2,1),(12,1),(14,1),(27,1),(39,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(28,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1),(16,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1)}
      12:{1,4,5}:{(6,1),(7,1),(9,1)}
      13:{2,4,5}:{(6,1),(10,1),(19,1)}
      14:{1,2,5}:{(7,1),(8,1),(21,1)}
      15:{2,3,6}:{(8,1),(21,1),(23,1)}
      16:{2,3,6}:{(10,1),(19,1),(22,1),(23,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(20,1),(22,1),(23,1),(24,1),(35,1)}
      18:{2,3,5,6}:{(11,1),(21,1),(23,1),(24,1),(36,1)}
      19:{2,3,5}:{(13,1),(16,1),(25,1),(26,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(31,1),(38,1),(39,1)}
      21:{2,3,5}:{(14,1),(15,1),(27,1),(28,1)}
      22:{1,2,6}:{(16,1),(26,1),(29,1)}
      23:{3,6}:{(17,1),(27,1)}
      24:{2,4,6}:{(18,1),(28,1),(30,1),(31,1)}
      25:{2,3,4}:{(19,1),(32,1),(34,1)}
      26:{1,2,5}:{(19,1),(22,1),(32,1),(33,1)}
      27:{3,5}:{(20,1),(23,1),(34,1)}
      28:{2,4}:{(21,1),(34,1)}
      29:{1,3,6}:{(22,1),(23,1),(33,1),(35,1)}
      30:{3,4,6}:{(23,1),(24,1),(34,1),(35,1),(36,1)}
      31:{2,4,5}:{(24,1),(36,1)}
      32:{1,2,4}:{(25,1),(26,1),(37,1),(38,1)}
      33:{1,3,5}:{(26,1),(27,1),(29,1),(37,1),(38,1),(39,1)}
      34:{3,4}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(29,1),(30,1),(38,1),(39,1)}
      36:{3,5}:{(30,1),(31,1),(39,1)}
      37:{1,3}:{(32,1)}
      38:{1,4}:{(33,1),(34,1)}
      39:{1,5}:{(35,1),(36,1)}

257 :  0:{2,4,5,6}:{(2,1),(14,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(14,1),(27,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(7,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(27,1)}
       7:{1,5,6}:{(2,1),(13,1)}
       8:{2,3,5,6}:{(2,1),(4,1),(14,1),(15,1),(27,1)}
       9:{1,4,5}:{(3,1),(13,1),(16,1)}
      10:{2,4,5}:{(3,1),(4,1),(14,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,3,6}:{(5,1),(18,1),(27,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1),(19,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(20,1),(21,1),(39,1)}
      16:{1,3,5}:{(9,1),(19,1),(22,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(20,1),(23,1),(24,1),(25,1),(34,1),(36,1),(39,1)}
      18:{1,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{1,3,6}:{(13,1),(16,1),(26,1),(27,1)}
      20:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      21:{1,3,5,6}:{(15,1),(18,1),(27,1),(28,1),(38,1)}
      22:{1,3,4}:{(16,1),(29,1),(31,1)}
      23:{1,2,5}:{(16,1),(26,1),(29,1),(30,1)}
      24:{3,5}:{(17,1),(27,1),(31,1)}
      25:{1,4}:{(18,1),(31,1)}
      26:{1,2,6}:{(19,1),(23,1),(32,1)}
      27:{3,6}:{(20,1),(24,1)}
      28:{1,4,6}:{(21,1),(25,1),(33,1),(34,1)}
      29:{1,2,4}:{(22,1),(23,1),(35,1),(36,1)}
      30:{2,3,5}:{(23,1),(24,1),(32,1),(35,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{2,3,6}:{(26,1),(27,1),(30,1),(37,1)}
      33:{3,4,6}:{(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{1,4,5}:{(28,1),(38,1)}
      35:{2,3}:{(29,1)}
      36:{2,4}:{(30,1),(31,1)}
      37:{2,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{3,5}:{(33,1),(34,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

258 :  0:{1,2,5,6}:{(2,1),(3,1),(22,1),(23,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(10,1),(14,1),(15,1),(16,1),(22,1),(23,1)}
       2:{3,5,6}:{(0,1),(5,1),(6,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(18,1),(19,1),(20,1)}
       4:{3,5}:{(1,1),(6,1),(7,1)}
       5:{4,6}:{(2,1),(10,1)}
       6:{3,6}:{(3,1),(4,1)}
       7:{3,4}:{(4,1),(14,1),(15,1),(25,1)}
       8:{1,3,5}:{(4,1),(12,1),(14,1),(16,1),(22,1),(25,1),(28,1)}
       9:{2,3,5}:{(4,1),(13,1),(15,1),(16,1),(23,1),(25,1),(28,1)}
      10:{4,5}:{(5,1),(17,1),(29,1)}
      11:{3,4,6}:{(5,1),(6,1),(7,1),(17,1),(18,1),(19,1),(27,1),(29,1)}
      12:{1,3,6}:{(6,1),(8,1),(18,1),(20,1),(27,1)}
      13:{2,3,6}:{(6,1),(9,1),(19,1),(20,1),(27,1)}
      14:{1,4}:{(7,1),(8,1),(29,1)}
      15:{2,4}:{(7,1),(9,1),(29,1)}
      16:{1,2,5}:{(8,1),(9,1),(20,1),(21,1)}
      17:{3,5}:{(10,1),(11,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1),(22,1)}
      19:{2,4,6}:{(11,1),(13,1),(15,1),(23,1)}
      20:{1,2,6}:{(12,1),(13,1),(16,1)}
      21:{1,2,4}:{(14,1),(15,1),(16,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,5}:{(17,1),(19,1)}
      24:{1,2,4,6}:{(18,1),(19,1),(20,1),(21,1),(26,1),(27,1),(29,1)}
      25:{3}:{(21,1)}
      26:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      27:{3,6}:{(24,1),(25,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

259 :  0:{1,3,4}:{(2,1),(3,1),(31,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(22,1),(44,1)}
       2:{1,3,5}:{(0,1),(5,1),(8,1),(9,1),(22,1)}
       3:{1,2,4}:{(0,1),(8,1),(10,1),(27,1)}
       4:{2,3,4}:{(11,1),(12,1),(31,1)}
       5:{1,4,5}:{(1,1),(2,1),(14,1)}
       6:{2,4,5}:{(1,1),(11,1),(15,1)}
       7:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(32,1),(42,1)}
       8:{1,2,5}:{(2,1),(3,1),(17,1),(18,1)}
       9:{1,3,6}:{(2,1),(14,1),(18,1),(32,1)}
      10:{2,3}:{(3,1)}
      11:{2,3,5}:{(4,1),(6,1),(19,1),(20,1),(22,1)}
      12:{1,2,4}:{(4,1),(19,1),(21,1),(35,1)}
      13:{1,2,4,5}:{(5,1),(6,1),(8,1),(19,1),(22,1),(23,1),(27,1),(35,1),(39,1),(43,1),(44,1)}
      14:{1,4,6}:{(5,1),(7,1),(9,1),(24,1)}
      15:{2,4,6}:{(6,1),(7,1),(20,1),(25,1)}
      16:{3,5,6}:{(7,1),(24,1),(25,1),(26,1)}
      17:{2,3,5}:{(8,1),(10,1),(22,1),(27,1),(28,1),(39,1)}
      18:{1,2,6}:{(8,1),(9,1),(28,1)}
      19:{1,2,5}:{(11,1),(12,1),(29,1),(30,1)}
      20:{2,3,6}:{(11,1),(15,1),(30,1),(32,1)}
      21:{1,3}:{(12,1)}
      22:{3,5}:{(13,1),(31,1),(32,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(15,1),(18,1),(30,1),(32,1),(33,1),(34,1),(40,1),(42,1)}
      24:{1,5,6}:{(14,1),(16,1)}
      25:{2,5,6}:{(15,1),(16,1)}
      26:{4,5,6}:{(16,1),(42,1)}
      27:{2,4}:{(17,1),(31,1)}
      28:{2,3,6}:{(17,1),(18,1),(32,1),(34,1)}
      29:{1,3,5}:{(19,1),(21,1),(22,1),(35,1),(36,1),(43,1)}
      30:{1,2,6}:{(19,1),(20,1),(36,1)}
      31:{3,4}:{(22,1),(27,1),(35,1)}
      32:{3,6}:{(22,1),(23,1)}
      33:{1,2,5,6}:{(23,1),(24,1),(25,1),(38,1),(39,1),(43,1)}
      34:{2,4,6}:{(27,1),(28,1),(37,1),(39,1)}
      35:{1,4}:{(29,1),(31,1)}
      36:{1,3,6}:{(29,1),(30,1),(32,1),(40,1)}
      37:{3,4,6}:{(31,1),(32,1),(34,1),(40,1),(41,1),(42,1)}
      38:{3,5,6}:{(32,1),(33,1),(41,1),(42,1)}
      39:{2,5}:{(34,1),(41,1)}
      40:{1,4,6}:{(35,1),(36,1),(37,1),(43,1)}
      41:{3,5}:{(37,1),(39,1),(43,1),(44,1)}
      42:{4,6}:{(38,1),(44,1)}
      43:{1,5}:{(40,1),(41,1)}
      44:{4,5}:{(41,1),(42,1)}

260 :  0:{1,2,4,5}:{(1,1),(2,1),(8,1),(9,1),(11,1),(23,1),(24,1),(25,1)}
       1:{3,5}:{(0,1),(3,1),(6,1)}
       2:{1,2,4,6}:{(0,1),(6,1),(7,1),(16,1),(17,1),(19,1),(20,1)}
       3:{3,4}:{(1,1),(8,1),(9,1),(21,1)}
       4:{1,3,5}:{(1,1),(8,1),(11,1),(12,1),(21,1),(23,1),(28,1)}
       5:{2,3,5}:{(1,1),(9,1),(11,1),(13,1),(21,1),(24,1),(28,1)}
       6:{3,6}:{(1,1),(2,1)}
       7:{1,2,5,6}:{(2,1),(14,1),(23,1),(24,1)}
       8:{1,4}:{(3,1),(4,1),(29,1)}
       9:{2,4}:{(3,1),(5,1),(29,1)}
      10:{3,4,6}:{(3,1),(6,1),(16,1),(17,1),(18,1),(20,1),(26,1),(29,1)}
      11:{1,2,5}:{(4,1),(5,1),(15,1),(19,1)}
      12:{1,3,6}:{(4,1),(6,1),(16,1),(19,1),(26,1)}
      13:{2,3,6}:{(5,1),(6,1),(17,1),(19,1),(26,1)}
      14:{3,5,6}:{(6,1),(7,1),(18,1),(20,1)}
      15:{1,2,4}:{(8,1),(9,1),(11,1),(21,1)}
      16:{1,4,6}:{(8,1),(10,1),(12,1),(23,1)}
      17:{2,4,6}:{(9,1),(10,1),(13,1),(24,1)}
      18:{3,5}:{(10,1),(23,1),(24,1),(25,1)}
      19:{1,2,6}:{(11,1),(12,1),(13,1)}
      20:{4,6}:{(14,1),(25,1)}
      21:{3}:{(15,1)}
      22:{1,2,4,6}:{(15,1),(16,1),(17,1),(19,1),(26,1),(27,1),(29,1)}
      23:{1,5}:{(16,1),(18,1)}
      24:{2,5}:{(17,1),(18,1)}
      25:{4,5}:{(18,1),(20,1),(29,1)}
      26:{3,6}:{(21,1),(22,1),(28,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

261 :  0:{3,4,5}:{(2,1),(3,1),(4,1),(22,1),(44,1)}
       1:{4,5,6}:{(9,1),(40,1)}
       2:{3,4,6}:{(0,1),(9,1),(10,1),(11,1),(30,1),(40,1)}
       3:{1,4,5}:{(0,1),(7,1),(10,1)}
       4:{2,4,5}:{(0,1),(8,1),(11,1)}
       5:{1,3,4}:{(7,1),(13,1),(31,1)}
       6:{2,3,4}:{(8,1),(14,1),(31,1)}
       7:{1,3,5}:{(3,1),(5,1),(15,1),(16,1),(22,1)}
       8:{2,3,5}:{(4,1),(6,1),(17,1),(18,1),(22,1)}
       9:{3,5,6}:{(1,1),(2,1),(19,1),(20,1)}
      10:{1,4,6}:{(2,1),(3,1),(15,1),(19,1)}
      11:{2,4,6}:{(2,1),(4,1),(17,1),(20,1)}
      12:{1,2,4,5}:{(3,1),(4,1),(16,1),(18,1),(21,1),(22,1),(33,1),(35,1),(42,1),(43,1),(44,1)}
      13:{1,2,4}:{(5,1),(16,1),(23,1),(33,1)}
      14:{1,2,4}:{(6,1),(18,1),(24,1),(35,1)}
      15:{1,3,6}:{(7,1),(10,1),(25,1),(30,1)}
      16:{1,2,5}:{(7,1),(13,1),(25,1),(26,1)}
      17:{2,3,6}:{(8,1),(11,1),(27,1),(30,1)}
      18:{1,2,5}:{(8,1),(14,1),(27,1),(28,1)}
      19:{1,5,6}:{(9,1),(10,1)}
      20:{2,5,6}:{(9,1),(11,1)}
      21:{1,2,4,6}:{(10,1),(11,1),(12,1),(25,1),(27,1),(29,1),(30,1),(38,1),(39,1),(40,1)}
      22:{3,5}:{(12,1),(30,1),(31,1)}
      23:{2,3}:{(13,1)}
      24:{1,3}:{(14,1)}
      25:{1,2,6}:{(15,1),(16,1),(32,1)}
      26:{2,3,5}:{(16,1),(22,1),(23,1),(32,1),(33,1),(42,1)}
      27:{1,2,6}:{(17,1),(18,1),(34,1)}
      28:{1,3,5}:{(18,1),(22,1),(24,1),(34,1),(35,1),(43,1)}
      29:{1,2,5,6}:{(19,1),(20,1),(21,1),(36,1),(42,1),(43,1)}
      30:{3,6}:{(21,1),(22,1)}
      31:{3,4}:{(22,1),(33,1),(35,1)}
      32:{2,3,6}:{(25,1),(26,1),(30,1),(38,1)}
      33:{2,4}:{(26,1),(31,1)}
      34:{1,3,6}:{(27,1),(28,1),(30,1),(39,1)}
      35:{1,4}:{(28,1),(31,1)}
      36:{3,5,6}:{(29,1),(30,1),(40,1),(41,1)}
      37:{3,4,6}:{(30,1),(31,1),(38,1),(39,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(33,1),(37,1),(42,1)}
      39:{1,4,6}:{(34,1),(35,1),(37,1),(43,1)}
      40:{4,6}:{(36,1),(44,1)}
      41:{3,5}:{(37,1),(42,1),(43,1),(44,1)}
      42:{2,5}:{(38,1),(41,1)}
      43:{1,5}:{(39,1),(41,1)}
      44:{4,5}:{(40,1),(41,1)}

262 :  0:{4,5,6}:{(1,1),(30,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1),(5,1)}
       2:{3,4,5}:{(3,1),(6,1),(7,1),(24,1),(37,1)}
       3:{3,4,6}:{(1,1),(2,1),(10,1),(11,1),(29,1),(30,1)}
       4:{1,5,6}:{(1,1),(10,1)}
       5:{2,5,6}:{(1,1),(11,1)}
       6:{1,4,5}:{(2,1),(10,1),(13,1)}
       7:{2,4,5}:{(2,1),(11,1),(14,1)}
       8:{1,3,4}:{(13,1),(16,1),(33,1)}
       9:{2,3,4}:{(14,1),(17,1),(33,1)}
      10:{1,4,6}:{(3,1),(4,1),(6,1),(18,1)}
      11:{2,4,6}:{(3,1),(5,1),(7,1),(19,1)}
      12:{1,2,5,6}:{(4,1),(5,1),(20,1),(21,1),(43,1),(44,1)}
      13:{1,3,5}:{(6,1),(8,1),(18,1),(22,1),(24,1)}
      14:{2,3,5}:{(7,1),(9,1),(19,1),(23,1),(24,1)}
      15:{1,2,4,5}:{(6,1),(7,1),(20,1),(22,1),(23,1),(24,1),(37,1),(38,1),(39,1),(43,1),(44,1)}
      16:{1,2,4}:{(8,1),(22,1),(25,1),(38,1)}
      17:{1,2,4}:{(9,1),(23,1),(26,1),(39,1)}
      18:{1,3,6}:{(10,1),(13,1),(27,1),(29,1)}
      19:{2,3,6}:{(11,1),(14,1),(28,1),(29,1)}
      20:{1,2,4,6}:{(10,1),(11,1),(12,1),(15,1),(27,1),(28,1),(29,1),(30,1),(40,1),(41,1)}
      21:{3,5,6}:{(12,1),(29,1),(30,1),(42,1)}
      22:{1,2,5}:{(13,1),(16,1),(27,1),(31,1)}
      23:{1,2,5}:{(14,1),(17,1),(28,1),(32,1)}
      24:{3,5}:{(15,1),(29,1),(33,1)}
      25:{2,3}:{(16,1)}
      26:{1,3}:{(17,1)}
      27:{1,2,6}:{(18,1),(22,1),(34,1)}
      28:{1,2,6}:{(19,1),(23,1),(35,1)}
      29:{3,6}:{(20,1),(24,1)}
      30:{4,6}:{(21,1),(37,1)}
      31:{2,3,5}:{(22,1),(24,1),(25,1),(34,1),(38,1),(43,1)}
      32:{1,3,5}:{(23,1),(24,1),(26,1),(35,1),(39,1),(44,1)}
      33:{3,4}:{(24,1),(38,1),(39,1)}
      34:{2,3,6}:{(27,1),(29,1),(31,1),(40,1)}
      35:{1,3,6}:{(28,1),(29,1),(32,1),(41,1)}
      36:{3,4,6}:{(29,1),(30,1),(33,1),(40,1),(41,1),(42,1)}
      37:{4,5}:{(30,1),(42,1)}
      38:{2,4}:{(31,1),(33,1)}
      39:{1,4}:{(32,1),(33,1)}
      40:{2,4,6}:{(34,1),(36,1),(38,1),(43,1)}
      41:{1,4,6}:{(35,1),(36,1),(39,1),(44,1)}
      42:{3,5}:{(36,1),(37,1),(43,1),(44,1)}
      43:{2,5}:{(40,1),(42,1)}
      44:{1,5}:{(41,1),(42,1)}

263 :  0:{1,2,3,5}:{(1,1),(2,1),(6,1),(9,1),(12,1),(26,1)}
       1:{1,2,4}:{(0,1),(3,1)}
       2:{1,2,3,6}:{(0,1),(5,1),(18,1),(37,1)}
       3:{3,4}:{(1,1),(9,1)}
       4:{1,2,4,5}:{(1,1),(9,1),(11,1),(12,1),(23,1),(24,1),(26,1),(30,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1)}
       6:{1,2,3}:{(15,1)}
       7:{2,3,4}:{(3,1),(15,1),(16,1),(31,1)}
       8:{1,3,4}:{(3,1),(15,1),(17,1),(31,1)}
       9:{3,5}:{(3,1),(4,1),(18,1)}
      10:{3,4,6}:{(3,1),(5,1),(18,1),(19,1),(38,1)}
      11:{1,2,4,6}:{(4,1),(18,1),(20,1),(34,1),(35,1),(37,1),(38,1)}
      12:{1,2,5}:{(5,1),(19,1)}
      13:{1,2,3,5}:{(6,1),(21,1),(22,1),(26,1),(39,1),(42,1)}
      14:{3,4,5}:{(9,1),(23,1),(24,1),(25,1),(30,1),(39,1),(50,1)}
      15:{1,2,4}:{(6,1),(7,1),(8,1),(26,1)}
      16:{2,3,5}:{(7,1),(9,1),(23,1),(26,1),(27,1),(39,1)}
      17:{1,3,5}:{(8,1),(9,1),(24,1),(26,1),(28,1),(39,1)}
      18:{3,6}:{(9,1),(11,1)}
      19:{3,5}:{(10,1),(12,1),(30,1)}
      20:{1,2,5,6}:{(11,1),(12,1),(29,1),(43,1),(44,1)}
      21:{1,2,4}:{(13,1),(31,1)}
      22:{1,2,3,6}:{(13,1),(33,1),(37,1),(46,1)}
      23:{2,4,5}:{(14,1),(16,1),(34,1)}
      24:{1,4,5}:{(14,1),(17,1),(35,1)}
      25:{3,4,6}:{(14,1),(18,1),(34,1),(35,1),(36,1),(38,1),(46,1),(51,1)}
      26:{1,2,5}:{(15,1),(16,1),(17,1),(37,1)}
      27:{2,3,6}:{(16,1),(18,1),(34,1),(37,1),(46,1)}
      28:{1,3,6}:{(17,1),(18,1),(35,1),(37,1),(46,1)}
      29:{3,5,6}:{(18,1),(19,1),(20,1),(38,1)}
      30:{4,5}:{(19,1),(38,1)}
      31:{3,4}:{(21,1),(39,1)}
      32:{1,2,4,5}:{(21,1),(23,1),(24,1),(26,1),(39,1),(41,1),(42,1),(50,1)}
      33:{1,2,4,6}:{(21,1),(22,1),(40,1),(42,1)}
      34:{2,4,6}:{(23,1),(25,1),(27,1),(43,1)}
      35:{1,4,6}:{(24,1),(25,1),(28,1),(44,1)}
      36:{3,5,6}:{(25,1),(43,1),(44,1),(45,1)}
      37:{1,2,6}:{(26,1),(27,1),(28,1)}
      38:{4,6}:{(29,1),(30,1)}
      39:{3,5}:{(31,1),(32,1),(46,1)}
      40:{3,4,6}:{(31,1),(33,1),(46,1),(47,1),(51,1)}
      41:{1,2,4,6}:{(32,1),(34,1),(35,1),(37,1),(46,1),(48,1),(51,1)}
      42:{1,2,5}:{(33,1),(47,1)}
      43:{2,5,6}:{(34,1),(36,1)}
      44:{1,5,6}:{(35,1),(36,1)}
      45:{4,5,6}:{(36,1),(38,1),(51,1)}
      46:{3,6}:{(39,1),(41,1)}
      47:{3,5}:{(40,1),(42,1),(50,1)}
      48:{1,2,5,6}:{(41,1),(42,1),(43,1),(44,1),(49,1)}
      49:{3,5,6}:{(46,1),(47,1),(48,1),(51,1)}
      50:{4,5}:{(47,1),(51,1)}
      51:{4,6}:{(49,1),(50,1)}

264 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(13,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(12,1),(13,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(7,1),(17,1),(18,1),(27,1)}
       3:{1,4,6}:{(0,1),(5,1),(8,1),(25,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(26,1)}
       5:{1,4,5}:{(3,1),(11,1)}
       6:{2,4,5}:{(4,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(13,1),(14,1),(15,1),(24,1),(28,1)}
       8:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(21,1)}
       9:{3,4,6}:{(4,1),(12,1),(13,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(7,1),(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      11:{3,5}:{(5,1),(8,1),(17,1)}
      12:{3,5}:{(6,1),(9,1),(18,1)}
      13:{3,6}:{(7,1),(16,1),(29,1)}
      14:{2,4,6}:{(8,1),(17,1),(20,1),(26,1)}
      15:{1,4,6}:{(9,1),(18,1),(19,1),(25,1)}
      16:{3,5}:{(10,1),(13,1),(21,1)}
      17:{2,5}:{(11,1),(14,1)}
      18:{1,5}:{(12,1),(15,1)}
      19:{1,3,6}:{(13,1),(15,1),(22,1),(24,1)}
      20:{2,3,6}:{(13,1),(14,1),(23,1),(24,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(18,1),(19,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(17,1),(20,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(19,1),(20,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

265 :  0:{1,2,3,6}:{(1,1),(2,1),(18,1),(34,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1)}
       2:{1,2,3,5}:{(0,1),(4,1),(5,1),(13,1),(28,1),(29,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(16,1),(18,1)}
       4:{1,2,5}:{(1,1),(6,1)}
       5:{1,2,4}:{(2,1),(9,1)}
       6:{3,5}:{(3,1),(4,1),(11,1)}
       7:{1,2,5,6}:{(4,1),(10,1),(12,1),(36,1),(37,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(11,1),(12,1),(13,1),(24,1),(25,1),(28,1)}
       9:{3,4}:{(5,1),(13,1)}
      10:{3,5,6}:{(6,1),(7,1),(16,1),(18,1)}
      11:{4,5}:{(6,1),(16,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(16,1),(18,1),(31,1),(32,1),(34,1)}
      13:{3,5}:{(8,1),(9,1),(18,1)}
      14:{1,3,4}:{(9,1),(19,1),(21,1),(44,1)}
      15:{2,3,4}:{(9,1),(20,1),(21,1),(44,1)}
      16:{4,6}:{(10,1),(11,1)}
      17:{3,4,5}:{(11,1),(13,1),(23,1),(24,1),(25,1),(39,1),(51,1)}
      18:{3,6}:{(12,1),(13,1)}
      19:{1,3,5}:{(13,1),(14,1),(24,1),(26,1),(28,1),(39,1)}
      20:{2,3,5}:{(13,1),(15,1),(25,1),(27,1),(28,1),(39,1)}
      21:{1,2,4}:{(14,1),(15,1),(28,1),(29,1)}
      22:{4,5,6}:{(16,1),(30,1),(49,1)}
      23:{3,4,6}:{(16,1),(17,1),(18,1),(30,1),(31,1),(32,1),(43,1),(49,1)}
      24:{1,4,5}:{(17,1),(19,1),(31,1)}
      25:{2,4,5}:{(17,1),(20,1),(32,1)}
      26:{1,3,6}:{(18,1),(19,1),(31,1),(34,1),(43,1)}
      27:{2,3,6}:{(18,1),(20,1),(32,1),(34,1),(43,1)}
      28:{1,2,5}:{(19,1),(20,1),(21,1),(34,1)}
      29:{1,2,3}:{(21,1)}
      30:{3,5,6}:{(22,1),(23,1),(36,1),(37,1)}
      31:{1,4,6}:{(23,1),(24,1),(26,1),(36,1)}
      32:{2,4,6}:{(23,1),(25,1),(27,1),(37,1)}
      33:{1,2,4,5}:{(24,1),(25,1),(28,1),(38,1),(39,1),(41,1),(48,1),(51,1)}
      34:{1,2,6}:{(26,1),(27,1),(28,1)}
      35:{1,2,3,5}:{(28,1),(29,1),(39,1),(40,1),(41,1),(48,1)}
      36:{1,5,6}:{(30,1),(31,1)}
      37:{2,5,6}:{(30,1),(32,1)}
      38:{1,2,4,6}:{(31,1),(32,1),(33,1),(34,1),(42,1),(43,1),(49,1)}
      39:{3,5}:{(33,1),(43,1),(44,1)}
      40:{1,2,3,6}:{(34,1),(35,1),(43,1),(45,1)}
      41:{1,2,4}:{(35,1),(44,1)}
      42:{1,2,5,6}:{(36,1),(37,1),(38,1),(46,1),(48,1)}
      43:{3,6}:{(38,1),(39,1)}
      44:{3,4}:{(39,1),(41,1)}
      45:{1,2,4,6}:{(40,1),(41,1),(47,1),(48,1)}
      46:{3,5,6}:{(42,1),(43,1),(49,1),(50,1)}
      47:{3,4,6}:{(43,1),(44,1),(45,1),(49,1),(50,1)}
      48:{1,2,5}:{(45,1),(50,1)}
      49:{4,6}:{(46,1),(51,1)}
      50:{3,5}:{(47,1),(48,1),(51,1)}
      51:{4,5}:{(49,1),(50,1)}

266 : 0:{1,2,3}:{(1,1)}
      1:{1,2,4}:{(0,1),(2,1),(3,1)}
      2:{3,4}:{(1,1),(4,1)}
      3:{1,2,5}:{(1,1),(4,1),(5,1)}
      4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
      5:{1,2,6}:{(3,1),(7,1)}
      6:{4,5}:{(4,1),(8,1)}
      7:{3,6}:{(4,1),(5,1),(8,1)}
      8:{4,6}:{(6,1),(7,1),(9,1)}
      9:{5,6}:{(8,1)}

267 :  0:{1,3,4,6}:{(3,1),(4,1),(6,1),(19,1),(28,1),(32,1)}
       1:{1,3,5,6}:{(4,1),(5,1),(6,1),(7,1),(19,1)}
       2:{1,4,5,6}:{(6,1),(7,1)}
       3:{1,2,4,6}:{(0,1),(8,1),(9,1),(21,1)}
       4:{1,3,5}:{(0,1),(9,1),(10,1),(22,1),(37,1)}
       5:{1,2,5,6}:{(1,1),(9,1),(11,1),(12,1),(14,1),(37,1)}
       6:{1,4,6}:{(1,1),(10,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1)}
       8:{2,3,6}:{(3,1),(15,1),(19,1)}
       9:{1,2,5}:{(3,1),(4,1),(15,1)}
      10:{1,4,5}:{(4,1),(6,1),(17,1)}
      11:{2,3,5,6}:{(5,1),(15,1),(18,1),(19,1),(31,1)}
      12:{1,2,4,6}:{(5,1),(6,1),(16,1),(18,1),(19,1),(20,1),(32,1),(33,1)}
      13:{3,4,6}:{(6,1),(7,1),(17,1),(19,1),(20,1)}
      14:{2,5,6}:{(7,1),(20,1)}
      15:{2,3,5}:{(8,1),(9,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(12,1),(21,1),(22,1),(23,1),(24,1),(34,1),(36,1),(37,1)}
      17:{3,4,5}:{(10,1),(13,1),(22,1),(23,1)}
      18:{2,4,6}:{(11,1),(21,1),(24,1),(25,1)}
      19:{3,6}:{(12,1),(22,1)}
      20:{2,4,6}:{(13,1),(14,1),(23,1),(27,1)}
      21:{2,4}:{(15,1),(28,1)}
      22:{3,5}:{(16,1),(19,1),(28,1)}
      23:{2,4,5}:{(17,1),(20,1),(30,1)}
      24:{2,4,5}:{(18,1),(31,1)}
      25:{3,4,6}:{(18,1),(19,1),(28,1),(31,1),(32,1)}
      26:{1,3,6}:{(19,1),(29,1),(32,1),(33,1)}
      27:{2,3,6}:{(19,1),(20,1),(30,1),(33,1)}
      28:{3,4}:{(21,1),(22,1),(34,1)}
      29:{1,3,5}:{(22,1),(26,1),(34,1),(36,1),(37,1),(39,1)}
      30:{2,3,5}:{(22,1),(23,1),(27,1),(35,1),(36,1)}
      31:{3,5}:{(24,1),(25,1),(37,1)}
      32:{1,4,6}:{(25,1),(26,1),(34,1),(37,1)}
      33:{1,2,6}:{(26,1),(27,1),(36,1)}
      34:{1,4}:{(28,1),(29,1)}
      35:{2,3,4}:{(28,1),(30,1),(38,1)}
      36:{1,2,5}:{(29,1),(30,1),(33,1),(38,1)}
      37:{1,5}:{(31,1),(32,1)}
      38:{1,2,4}:{(34,1),(35,1),(36,1),(39,1)}
      39:{1,3}:{(38,1)}

268 :  0:{2,3,4,6}:{(3,1),(4,1),(6,1),(19,1),(28,1),(32,1)}
       1:{2,3,5,6}:{(4,1),(5,1),(6,1),(7,1),(19,1)}
       2:{2,4,5,6}:{(6,1),(7,1)}
       3:{1,2,4,6}:{(0,1),(8,1),(9,1),(21,1)}
       4:{2,3,5}:{(0,1),(9,1),(10,1),(22,1),(37,1)}
       5:{1,2,5,6}:{(1,1),(9,1),(11,1),(12,1),(14,1),(37,1)}
       6:{2,4,6}:{(1,1),(10,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1)}
       8:{1,3,6}:{(3,1),(15,1),(19,1)}
       9:{1,2,5}:{(3,1),(4,1),(15,1)}
      10:{2,4,5}:{(4,1),(6,1),(17,1)}
      11:{1,3,5,6}:{(5,1),(15,1),(18,1),(19,1),(31,1)}
      12:{1,2,4,6}:{(5,1),(6,1),(16,1),(18,1),(19,1),(20,1),(32,1),(33,1)}
      13:{3,4,6}:{(6,1),(7,1),(17,1),(19,1),(20,1)}
      14:{1,5,6}:{(7,1),(20,1)}
      15:{1,3,5}:{(8,1),(9,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(12,1),(21,1),(22,1),(23,1),(24,1),(35,1),(36,1),(37,1)}
      17:{3,4,5}:{(10,1),(13,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(21,1),(24,1),(25,1)}
      19:{3,6}:{(12,1),(22,1)}
      20:{1,4,6}:{(13,1),(14,1),(23,1),(26,1)}
      21:{1,4}:{(15,1),(28,1)}
      22:{3,5}:{(16,1),(19,1),(28,1)}
      23:{1,4,5}:{(17,1),(20,1),(29,1)}
      24:{1,4,5}:{(18,1),(31,1)}
      25:{3,4,6}:{(18,1),(19,1),(28,1),(31,1),(32,1)}
      26:{1,3,6}:{(19,1),(20,1),(29,1),(33,1)}
      27:{2,3,6}:{(19,1),(30,1),(32,1),(33,1)}
      28:{3,4}:{(21,1),(22,1),(35,1)}
      29:{1,3,5}:{(22,1),(23,1),(26,1),(34,1),(36,1)}
      30:{2,3,5}:{(22,1),(27,1),(35,1),(36,1),(37,1),(39,1)}
      31:{3,5}:{(24,1),(25,1),(37,1)}
      32:{2,4,6}:{(25,1),(27,1),(35,1),(37,1)}
      33:{1,2,6}:{(26,1),(27,1),(36,1)}
      34:{1,3,4}:{(28,1),(29,1),(38,1)}
      35:{2,4}:{(28,1),(30,1)}
      36:{1,2,5}:{(29,1),(30,1),(33,1),(38,1)}
      37:{2,5}:{(31,1),(32,1)}
      38:{1,2,4}:{(34,1),(35,1),(36,1),(39,1)}
      39:{2,3}:{(38,1)}

269 :  0:{3,4,5}:{(3,1),(4,1),(5,1),(20,1),(44,1)}
       1:{2,3,4}:{(6,1),(7,1),(29,1)}
       2:{1,3,4}:{(8,1),(9,1),(29,1)}
       3:{1,4,5}:{(0,1),(8,1),(11,1)}
       4:{2,4,5}:{(0,1),(6,1),(12,1)}
       5:{3,4,6}:{(0,1),(11,1),(12,1),(13,1),(30,1),(41,1)}
       6:{2,3,5}:{(1,1),(4,1),(14,1),(15,1),(20,1)}
       7:{1,2,4}:{(1,1),(14,1),(16,1),(32,1)}
       8:{1,3,5}:{(2,1),(3,1),(17,1),(18,1),(20,1)}
       9:{1,2,4}:{(2,1),(17,1),(19,1),(34,1)}
      10:{1,2,4,5}:{(3,1),(4,1),(14,1),(17,1),(20,1),(21,1),(32,1),(34,1),(42,1),(43,1),(44,1)}
      11:{1,4,6}:{(3,1),(5,1),(18,1),(22,1)}
      12:{2,4,6}:{(4,1),(5,1),(15,1),(23,1)}
      13:{3,5,6}:{(5,1),(22,1),(23,1),(24,1)}
      14:{1,2,5}:{(6,1),(7,1),(25,1),(26,1)}
      15:{2,3,6}:{(6,1),(12,1),(26,1),(30,1)}
      16:{1,3}:{(7,1)}
      17:{1,2,5}:{(8,1),(9,1),(27,1),(28,1)}
      18:{1,3,6}:{(8,1),(11,1),(28,1),(30,1)}
      19:{2,3}:{(9,1)}
      20:{3,5}:{(10,1),(29,1),(30,1)}
      21:{1,2,4,6}:{(10,1),(11,1),(12,1),(26,1),(28,1),(30,1),(31,1),(38,1),(39,1),(41,1)}
      22:{1,5,6}:{(11,1),(13,1)}
      23:{2,5,6}:{(12,1),(13,1)}
      24:{4,5,6}:{(13,1),(41,1)}
      25:{1,3,5}:{(14,1),(16,1),(20,1),(32,1),(33,1),(42,1)}
      26:{1,2,6}:{(14,1),(15,1),(33,1)}
      27:{2,3,5}:{(17,1),(19,1),(20,1),(34,1),(35,1),(43,1)}
      28:{1,2,6}:{(17,1),(18,1),(35,1)}
      29:{3,4}:{(20,1),(32,1),(34,1)}
      30:{3,6}:{(20,1),(21,1)}
      31:{1,2,5,6}:{(21,1),(22,1),(23,1),(37,1),(42,1),(43,1)}
      32:{1,4}:{(25,1),(29,1)}
      33:{1,3,6}:{(25,1),(26,1),(30,1),(38,1)}
      34:{2,4}:{(27,1),(29,1)}
      35:{2,3,6}:{(27,1),(28,1),(30,1),(39,1)}
      36:{3,4,6}:{(29,1),(30,1),(38,1),(39,1),(40,1),(41,1)}
      37:{3,5,6}:{(30,1),(31,1),(40,1),(41,1)}
      38:{1,4,6}:{(32,1),(33,1),(36,1),(42,1)}
      39:{2,4,6}:{(34,1),(35,1),(36,1),(43,1)}
      40:{3,5}:{(36,1),(42,1),(43,1),(44,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{1,5}:{(38,1),(40,1)}
      43:{2,5}:{(39,1),(40,1)}
      44:{4,5}:{(40,1),(41,1)}

270 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(16,1)}
       1:{3,5,6}:{(0,1),(2,1),(22,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(14,1),(19,1),(26,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(15,1),(19,1),(25,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(22,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(29,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(28,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(21,1)}
       9:{1,4,5}:{(5,1),(6,1),(14,1)}
      10:{2,4,5}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(14,1),(17,1),(19,1),(27,1)}
      12:{2,3,4,6}:{(7,1),(15,1),(18,1),(19,1),(27,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(16,1),(19,1)}
      14:{1,3,5}:{(9,1),(11,1),(20,1),(22,1)}
      15:{2,3,5}:{(10,1),(12,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(13,1),(20,1),(21,1),(22,1),(28,1),(29,1)}
      17:{1,2,4,6}:{(11,1),(20,1),(23,1),(28,1)}
      18:{1,2,4,6}:{(12,1),(21,1),(24,1),(29,1)}
      19:{3,6}:{(13,1),(22,1)}
      20:{1,2,5}:{(14,1),(17,1),(25,1)}
      21:{1,2,5}:{(15,1),(18,1),(26,1)}
      22:{3,5}:{(16,1),(19,1),(27,1)}
      23:{2,3,6}:{(17,1),(19,1),(25,1)}
      24:{1,3,6}:{(18,1),(19,1),(26,1)}
      25:{2,3,5}:{(20,1),(22,1),(23,1),(28,1)}
      26:{1,3,5}:{(21,1),(22,1),(24,1),(29,1)}
      27:{3,4}:{(22,1),(28,1),(29,1)}
      28:{2,4}:{(25,1),(27,1)}
      29:{1,4}:{(26,1),(27,1)}

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

272 : 0:{1,2,3}:{(1,1)}
      1:{1,2,4}:{(0,1),(2,1),(3,1)}
      2:{3,4}:{(1,1),(4,1)}
      3:{1,2,5}:{(1,1),(4,1),(5,1)}
      4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
      5:{1,2,6}:{(3,1),(7,1)}
      6:{4,5}:{(4,1),(8,1)}
      7:{3,6}:{(4,1),(5,1),(8,1)}
      8:{4,6}:{(6,1),(7,1),(9,1)}
      9:{5,6}:{(8,1)}

273 :  0:{1,3,4,6}:{(2,1),(3,1),(12,1),(29,1),(32,1)}
       1:{2,3,4,6}:{(2,1),(4,1),(13,1),(29,1),(32,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(23,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(24,1)}
       4:{2,3,5}:{(1,1),(8,1),(10,1),(24,1)}
       5:{1,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(29,1)}
       6:{2,3,5,6}:{(4,1),(11,1),(13,1),(28,1),(29,1)}
       7:{1,2,3,6}:{(2,1),(14,1),(29,1),(42,1)}
       8:{1,2,5}:{(2,1),(3,1),(4,1)}
       9:{1,4,5}:{(3,1),(12,1),(16,1)}
      10:{2,4,5}:{(4,1),(13,1),(17,1)}
      11:{1,2,5,6}:{(5,1),(6,1),(8,1),(20,1),(35,1),(36,1)}
      12:{1,4,6}:{(5,1),(9,1),(21,1)}
      13:{2,4,6}:{(6,1),(10,1),(22,1)}
      14:{1,2,3,5}:{(7,1),(8,1),(23,1),(24,1),(41,1),(44,1)}
      15:{1,2,4,5}:{(8,1),(9,1),(10,1),(20,1),(23,1),(24,1),(25,1),(26,1),(41,1)}
      16:{3,4,5}:{(9,1),(21,1),(24,1),(25,1)}
      17:{3,4,5}:{(10,1),(22,1),(24,1),(26,1)}
      18:{1,4,5,6}:{(12,1),(27,1)}
      19:{2,4,5,6}:{(13,1),(28,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(13,1),(15,1),(29,1),(30,1),(31,1),(42,1)}
      21:{3,4,6}:{(12,1),(16,1),(27,1),(29,1),(30,1)}
      22:{3,4,6}:{(13,1),(17,1),(28,1),(29,1),(31,1)}
      23:{1,2,4}:{(14,1),(32,1)}
      24:{3,5}:{(15,1),(29,1),(32,1)}
      25:{2,4,5}:{(16,1),(30,1),(34,1)}
      26:{1,4,5}:{(17,1),(31,1),(33,1)}
      27:{3,5,6}:{(18,1),(21,1),(35,1)}
      28:{3,5,6}:{(19,1),(22,1),(36,1)}
      29:{3,6}:{(20,1),(24,1)}
      30:{2,4,6}:{(21,1),(25,1),(35,1),(38,1)}
      31:{1,4,6}:{(22,1),(26,1),(36,1),(37,1)}
      32:{3,4}:{(23,1),(24,1)}
      33:{1,3,5}:{(24,1),(26,1),(37,1),(39,1),(41,1)}
      34:{2,3,5}:{(24,1),(25,1),(38,1),(40,1),(41,1)}
      35:{2,5,6}:{(27,1),(30,1)}
      36:{1,5,6}:{(28,1),(31,1)}
      37:{1,3,6}:{(29,1),(31,1),(33,1),(42,1)}
      38:{2,3,6}:{(29,1),(30,1),(34,1),(42,1)}
      39:{1,3,4}:{(32,1),(33,1),(43,1)}
      40:{2,3,4}:{(32,1),(34,1),(43,1)}
      41:{1,2,5}:{(33,1),(34,1),(42,1),(43,1)}
      42:{1,2,6}:{(37,1),(38,1),(41,1)}
      43:{1,2,4}:{(39,1),(40,1),(41,1),(44,1)}
      44:{1,2,3}:{(43,1)}

274 :  0:{1,2,3,6}:{(3,1),(4,1),(30,1),(44,1)}
       1:{2,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(30,1)}
       2:{1,3,4,6}:{(3,1),(6,1),(15,1),(18,1),(30,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       4:{1,2,3,5}:{(0,1),(7,1),(8,1),(21,1),(40,1),(41,1)}
       5:{2,3,5}:{(1,1),(7,1),(10,1),(21,1)}
       6:{1,3,5}:{(2,1),(7,1),(12,1),(21,1)}
       7:{1,2,5}:{(3,1),(5,1),(6,1)}
       8:{1,2,4}:{(4,1),(15,1)}
       9:{2,3,5,6}:{(5,1),(13,1),(16,1),(30,1),(34,1)}
      10:{2,4,5}:{(5,1),(16,1),(17,1)}
      11:{1,3,5,6}:{(6,1),(13,1),(18,1),(30,1),(36,1)}
      12:{1,4,5}:{(6,1),(18,1),(19,1)}
      13:{1,2,5,6}:{(7,1),(9,1),(11,1),(20,1),(42,1),(43,1)}
      14:{1,2,4,5}:{(7,1),(8,1),(10,1),(12,1),(20,1),(21,1),(26,1),(29,1),(40,1)}
      15:{3,4}:{(8,1),(21,1)}
      16:{2,4,6}:{(9,1),(10,1),(25,1)}
      17:{3,4,5}:{(10,1),(21,1),(25,1),(26,1)}
      18:{1,4,6}:{(11,1),(12,1),(28,1)}
      19:{3,4,5}:{(12,1),(21,1),(28,1),(29,1)}
      20:{1,2,4,6}:{(13,1),(14,1),(16,1),(18,1),(30,1),(35,1),(37,1),(44,1)}
      21:{3,5}:{(14,1),(15,1),(30,1)}
      22:{1,3,4}:{(15,1),(31,1),(33,1)}
      23:{2,3,4}:{(15,1),(32,1),(33,1)}
      24:{2,4,5,6}:{(16,1),(34,1)}
      25:{3,4,6}:{(16,1),(17,1),(30,1),(34,1),(35,1)}
      26:{1,4,5}:{(17,1),(31,1),(35,1)}
      27:{1,4,5,6}:{(18,1),(36,1)}
      28:{3,4,6}:{(18,1),(19,1),(30,1),(36,1),(37,1)}
      29:{2,4,5}:{(19,1),(32,1),(37,1)}
      30:{3,6}:{(20,1),(21,1)}
      31:{1,3,5}:{(21,1),(22,1),(26,1),(38,1),(40,1)}
      32:{2,3,5}:{(21,1),(23,1),(29,1),(39,1),(40,1)}
      33:{1,2,4}:{(22,1),(23,1),(40,1),(41,1)}
      34:{3,5,6}:{(24,1),(25,1),(42,1)}
      35:{1,4,6}:{(25,1),(26,1),(38,1),(42,1)}
      36:{3,5,6}:{(27,1),(28,1),(43,1)}
      37:{2,4,6}:{(28,1),(29,1),(39,1),(43,1)}
      38:{1,3,6}:{(30,1),(31,1),(35,1),(44,1)}
      39:{2,3,6}:{(30,1),(32,1),(37,1),(44,1)}
      40:{1,2,5}:{(31,1),(32,1),(33,1),(44,1)}
      41:{1,2,3}:{(33,1)}
      42:{1,5,6}:{(34,1),(35,1)}
      43:{2,5,6}:{(36,1),(37,1)}
      44:{1,2,6}:{(38,1),(39,1),(40,1)}

275 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(12,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(11,1),(14,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(5,1),(19,1),(20,1),(27,1)}
       3:{1,4,6}:{(0,1),(6,1),(7,1),(25,1)}
       4:{2,4,6}:{(1,1),(8,1),(9,1),(26,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(11,1),(13,1),(15,1),(24,1),(28,1)}
       6:{1,4,5}:{(3,1),(12,1)}
       7:{3,4,6}:{(3,1),(11,1),(12,1),(13,1),(21,1)}
       8:{2,4,5}:{(4,1),(14,1)}
       9:{3,4,6}:{(4,1),(11,1),(14,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(8,1),(16,1),(19,1),(20,1),(25,1),(26,1),(27,1)}
      11:{3,6}:{(5,1),(16,1),(29,1)}
      12:{3,5}:{(6,1),(7,1),(19,1)}
      13:{2,4,6}:{(7,1),(18,1),(19,1),(26,1)}
      14:{3,5}:{(8,1),(9,1),(20,1)}
      15:{1,4,6}:{(9,1),(17,1),(20,1),(25,1)}
      16:{3,5}:{(10,1),(11,1),(21,1)}
      17:{1,3,6}:{(11,1),(15,1),(22,1),(24,1)}
      18:{2,3,6}:{(11,1),(13,1),(23,1),(24,1)}
      19:{2,5}:{(12,1),(13,1)}
      20:{1,5}:{(14,1),(15,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(17,1),(20,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(18,1),(19,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(17,1),(18,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

276 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(16,1)}
       1:{3,5,6}:{(0,1),(2,1),(22,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(14,1),(19,1),(26,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(15,1),(19,1),(25,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(22,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(29,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(28,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(21,1)}
       9:{1,4,5}:{(5,1),(6,1),(14,1)}
      10:{2,4,5}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(14,1),(17,1),(19,1),(27,1)}
      12:{2,3,4,6}:{(7,1),(15,1),(18,1),(19,1),(27,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(16,1),(19,1)}
      14:{1,3,5}:{(9,1),(11,1),(20,1),(22,1)}
      15:{2,3,5}:{(10,1),(12,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(13,1),(20,1),(21,1),(22,1),(28,1),(29,1)}
      17:{1,2,4,6}:{(11,1),(20,1),(23,1),(28,1)}
      18:{1,2,4,6}:{(12,1),(21,1),(24,1),(29,1)}
      19:{3,6}:{(13,1),(22,1)}
      20:{1,2,5}:{(14,1),(17,1),(25,1)}
      21:{1,2,5}:{(15,1),(18,1),(26,1)}
      22:{3,5}:{(16,1),(19,1),(27,1)}
      23:{2,3,6}:{(17,1),(19,1),(25,1)}
      24:{1,3,6}:{(18,1),(19,1),(26,1)}
      25:{2,3,5}:{(20,1),(22,1),(23,1),(28,1)}
      26:{1,3,5}:{(21,1),(22,1),(24,1),(29,1)}
      27:{3,4}:{(22,1),(28,1),(29,1)}
      28:{2,4}:{(25,1),(27,1)}
      29:{1,4}:{(26,1),(27,1)}

277 :  0:{1,2,3}:{(4,1)}
       1:{2,3,4}:{(4,1),(5,1),(14,1)}
       2:{1,3,4}:{(4,1),(6,1),(14,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(9,1),(22,1),(25,1),(28,1),(45,1)}
       4:{1,2,4}:{(0,1),(1,1),(2,1),(9,1)}
       5:{2,3,5}:{(1,1),(9,1),(10,1),(11,1),(25,1)}
       6:{1,3,5}:{(2,1),(9,1),(12,1),(13,1),(25,1)}
       7:{1,2,4}:{(3,1),(14,1)}
       8:{1,2,3,6}:{(3,1),(16,1),(17,1),(38,1),(54,1)}
       9:{1,2,5}:{(4,1),(5,1),(6,1),(17,1)}
      10:{2,4,5}:{(5,1),(18,1),(19,1)}
      11:{2,3,6}:{(5,1),(17,1),(19,1),(38,1)}
      12:{1,4,5}:{(6,1),(20,1),(21,1)}
      13:{1,3,6}:{(6,1),(17,1),(21,1),(38,1)}
      14:{3,4}:{(7,1),(25,1)}
      15:{1,2,4,5}:{(7,1),(9,1),(10,1),(12,1),(25,1),(27,1),(28,1),(29,1),(32,1),(45,1),(49,1)}
      16:{1,2,4,6}:{(7,1),(8,1),(26,1),(28,1)}
      17:{1,2,6}:{(9,1),(11,1),(13,1)}
      18:{3,4,5}:{(10,1),(25,1),(29,1),(30,1),(49,1)}
      19:{2,4,6}:{(10,1),(11,1),(30,1),(31,1)}
      20:{3,4,5}:{(12,1),(25,1),(32,1),(33,1),(49,1)}
      21:{1,4,6}:{(12,1),(13,1),(33,1),(34,1)}
      22:{1,2,3}:{(35,1)}
      23:{2,3,4}:{(14,1),(35,1),(36,1)}
      24:{1,3,4}:{(14,1),(35,1),(37,1)}
      25:{3,5}:{(14,1),(15,1),(38,1)}
      26:{3,4,6}:{(14,1),(16,1),(38,1),(39,1),(55,1)}
      27:{1,2,4,6}:{(15,1),(17,1),(19,1),(21,1),(38,1),(40,1),(41,1),(43,1),(54,1),(55,1)}
      28:{1,2,5}:{(16,1),(39,1)}
      29:{1,4,5}:{(18,1),(37,1),(41,1)}
      30:{3,4,6}:{(18,1),(19,1),(38,1),(41,1),(42,1),(55,1)}
      31:{2,5,6}:{(19,1),(42,1)}
      32:{2,4,5}:{(20,1),(36,1),(43,1)}
      33:{3,4,6}:{(20,1),(21,1),(38,1),(43,1),(44,1),(55,1)}
      34:{1,5,6}:{(21,1),(44,1)}
      35:{1,2,4}:{(22,1),(23,1),(24,1),(45,1)}
      36:{2,3,5}:{(23,1),(25,1),(32,1),(45,1),(46,1)}
      37:{1,3,5}:{(24,1),(25,1),(29,1),(45,1),(47,1)}
      38:{3,6}:{(25,1),(27,1)}
      39:{3,5}:{(26,1),(28,1),(49,1)}
      40:{1,2,5,6}:{(27,1),(28,1),(31,1),(34,1),(48,1),(50,1),(52,1)}
      41:{1,4,6}:{(29,1),(30,1),(47,1),(50,1)}
      42:{3,5,6}:{(30,1),(31,1),(50,1),(51,1)}
      43:{2,4,6}:{(32,1),(33,1),(46,1),(52,1)}
      44:{3,5,6}:{(33,1),(34,1),(52,1),(53,1)}
      45:{1,2,5}:{(35,1),(36,1),(37,1),(54,1)}
      46:{2,3,6}:{(36,1),(38,1),(43,1),(54,1)}
      47:{1,3,6}:{(37,1),(38,1),(41,1),(54,1)}
      48:{3,5,6}:{(38,1),(39,1),(40,1),(55,1)}
      49:{4,5}:{(39,1),(55,1)}
      50:{1,5,6}:{(41,1),(42,1)}
      51:{4,5,6}:{(42,1),(55,1)}
      52:{2,5,6}:{(43,1),(44,1)}
      53:{4,5,6}:{(44,1),(55,1)}
      54:{1,2,6}:{(45,1),(46,1),(47,1)}
      55:{4,6}:{(48,1),(49,1)}

278 :  0:{1,3,4,5}:{(1,1),(2,1),(18,1),(38,1),(43,1)}
       1:{1,2,4,5}:{(0,1),(3,1),(4,1),(11,1),(30,1),(33,1)}
       2:{1,3,4,6}:{(0,1),(4,1),(5,1),(34,1)}
       3:{2,3,5}:{(1,1),(7,1),(8,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(24,1)}
       5:{1,3,5,6}:{(2,1),(9,1),(10,1),(25,1),(38,1)}
       6:{1,2,3,5}:{(3,1),(11,1),(12,1),(27,1),(30,1)}
       7:{2,3,4}:{(3,1),(11,1)}
       8:{2,3,6}:{(3,1),(4,1)}
       9:{1,2,5,6}:{(4,1),(5,1),(15,1),(30,1)}
      10:{1,4,5,6}:{(5,1),(17,1),(48,1)}
      11:{1,2,4}:{(6,1),(7,1),(18,1)}
      12:{1,2,3,6}:{(6,1),(8,1),(20,1),(37,1)}
      13:{2,3,4,5}:{(7,1),(19,1),(22,1),(23,1),(58,1)}
      14:{2,3,4,6}:{(7,1),(8,1),(20,1),(23,1),(24,1),(41,1)}
      15:{2,3,5,6}:{(8,1),(9,1),(23,1),(24,1),(25,1)}
      16:{1,2,4,5,6}:{(9,1),(10,1),(24,1),(25,1),(26,1),(40,1),(44,1),(46,1)}
      17:{3,4,5,6}:{(10,1),(25,1),(26,1),(58,1)}
      18:{1,3,4}:{(11,1),(27,1)}
      19:{1,2,4,5}:{(11,1),(13,1),(27,1),(29,1),(30,1),(48,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(14,1),(28,1),(30,1)}
      21:{1,2,3,5,6}:{(12,1),(15,1),(30,1),(31,1),(35,1),(47,1),(50,1),(70,1),(71,1),(72,1)}
      22:{2,3,4,6}:{(13,1),(29,1),(32,1),(66,1)}
      23:{2,3,5}:{(14,1),(30,1),(33,1),(50,1)}
      24:{2,4,6}:{(15,1),(33,1),(34,1)}
      25:{3,5,6}:{(16,1),(34,1),(50,1)}
      26:{2,4,5,6}:{(17,1),(36,1),(68,1)}
      27:{1,3,5}:{(18,1),(19,1),(37,1)}
      28:{1,3,4,6}:{(18,1),(20,1),(37,1),(38,1),(41,1),(57,1)}
      29:{1,2,4,6}:{(19,1),(22,1),(37,1),(39,1),(57,1)}
      30:{1,2,5}:{(20,1),(23,1),(38,1)}
      31:{1,2,4,6}:{(21,1),(24,1),(40,1),(41,1),(44,1),(57,1),(75,1)}
      32:{2,3,5,6}:{(22,1),(23,1),(39,1),(42,1),(59,1)}
      33:{2,4,5}:{(23,1),(24,1),(43,1)}
      34:{3,4,6}:{(24,1),(25,1),(43,1),(44,1)}
      35:{1,3,5,6}:{(25,1),(44,1),(46,1),(60,1),(65,1)}
      36:{2,3,5,6}:{(25,1),(26,1),(45,1),(46,1),(61,1)}
      37:{1,3,6}:{(27,1),(29,1)}
      38:{1,3,5}:{(28,1),(30,1),(48,1),(50,1)}
      39:{1,2,5,6}:{(29,1),(30,1),(32,1),(47,1)}
      40:{1,2,4,5}:{(30,1),(31,1),(33,1),(48,1),(50,1),(54,1),(68,1),(71,1)}
      41:{3,4,6}:{(31,1),(50,1)}
      42:{2,4,5,6}:{(32,1),(33,1),(53,1)}
      43:{3,4,5}:{(33,1),(34,1),(50,1),(54,1)}
      44:{1,4,6}:{(34,1),(35,1),(54,1)}
      45:{2,3,4,6}:{(34,1),(36,1),(55,1),(56,1)}
      46:{1,2,5,6}:{(35,1),(36,1),(56,1),(71,1)}
      47:{1,3,5,6}:{(37,1),(38,1),(39,1),(57,1),(59,1)}
      48:{1,4,5}:{(38,1),(57,1),(58,1)}
      49:{1,2,4,5,6}:{(39,1),(40,1),(42,1),(57,1),(59,1),(63,1),(75,1),(77,1)}
      50:{3,5}:{(40,1),(41,1)}
      51:{1,3,4,6}:{(41,1),(44,1),(60,1),(62,1),(65,1),(79,1)}
      52:{2,3,4,6}:{(41,1),(61,1),(62,1),(75,1),(83,1),(84,1)}
      53:{3,4,5,6}:{(42,1),(43,1),(59,1),(63,1)}
      54:{1,4,5}:{(43,1),(44,1),(60,1)}
      55:{2,3,4,5}:{(43,1),(45,1),(61,1),(64,1),(84,1)}
      56:{1,2,4,6}:{(44,1),(45,1),(46,1),(64,1),(65,1)}
      57:{1,4,6}:{(47,1),(48,1),(66,1)}
      58:{3,4,5}:{(48,1),(50,1),(66,1),(68,1)}
      59:{3,5,6}:{(49,1),(50,1),(66,1)}
      60:{1,3,5}:{(50,1),(51,1),(54,1),(71,1)}
      61:{2,3,5}:{(50,1),(52,1),(68,1),(71,1)}
      62:{1,2,4,6}:{(51,1),(52,1),(71,1),(72,1),(82,1)}
      63:{1,4,5,6}:{(53,1),(54,1),(69,1)}
      64:{1,2,4,5}:{(54,1),(55,1),(56,1),(71,1),(73,1),(82,1)}
      65:{1,3,6}:{(56,1),(73,1)}
      66:{3,4,6}:{(57,1),(58,1),(59,1),(75,1)}
      67:{1,3,4,5}:{(58,1),(60,1),(74,1),(76,1),(79,1)}
      68:{2,4,5}:{(58,1),(61,1),(75,1)}
      69:{1,3,5,6}:{(59,1),(60,1),(63,1),(74,1),(77,1)}
      70:{2,3,5,6}:{(59,1),(61,1),(75,1),(77,1),(83,1)}
      71:{1,2,5}:{(60,1),(61,1),(62,1)}
      72:{1,2,3,6}:{(62,1),(65,1),(78,1),(83,1)}
      73:{1,3,5}:{(64,1),(65,1),(79,1)}
      74:{1,3,4,6}:{(66,1),(67,1),(69,1),(80,1)}
      75:{2,4,6}:{(66,1),(68,1),(70,1)}
      76:{1,2,4,5}:{(67,1),(68,1),(71,1),(80,1),(81,1),(82,1)}
      77:{1,2,5,6}:{(69,1),(70,1),(71,1),(80,1)}
      78:{1,2,3,5}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
      79:{1,3,4}:{(73,1),(82,1)}
      80:{1,2,4,6}:{(74,1),(75,1),(76,1),(77,1),(83,1)}
      81:{2,3,5}:{(76,1),(83,1),(84,1)}
      82:{1,2,4}:{(78,1),(79,1),(84,1)}
      83:{2,3,6}:{(80,1),(81,1)}
      84:{2,3,4}:{(81,1),(82,1)}

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

280 :  0:{1,4,5,6}:{(2,1),(13,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(13,1),(27,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{1,3,5}:{(1,1),(9,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(27,1)}
       7:{1,3,5,6}:{(2,1),(4,1),(13,1),(15,1),(27,1)}
       8:{2,5,6}:{(2,1),(14,1)}
       9:{1,4,5}:{(3,1),(4,1),(13,1)}
      10:{2,4,5}:{(3,1),(14,1),(16,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{2,3,6}:{(5,1),(18,1),(27,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1),(19,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(20,1),(21,1),(39,1)}
      16:{2,3,5}:{(10,1),(19,1),(22,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(20,1),(23,1),(24,1),(25,1),(34,1),(36,1),(39,1)}
      18:{2,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{2,3,6}:{(14,1),(16,1),(26,1),(27,1)}
      20:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      21:{2,3,5,6}:{(15,1),(18,1),(27,1),(28,1),(38,1)}
      22:{2,3,4}:{(16,1),(29,1),(31,1)}
      23:{1,2,5}:{(16,1),(26,1),(29,1),(30,1)}
      24:{3,5}:{(17,1),(27,1),(31,1)}
      25:{2,4}:{(18,1),(31,1)}
      26:{1,2,6}:{(19,1),(23,1),(32,1)}
      27:{3,6}:{(20,1),(24,1)}
      28:{2,4,6}:{(21,1),(25,1),(33,1),(34,1)}
      29:{1,2,4}:{(22,1),(23,1),(35,1),(36,1)}
      30:{1,3,5}:{(23,1),(24,1),(32,1),(35,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{1,3,6}:{(26,1),(27,1),(30,1),(37,1)}
      33:{3,4,6}:{(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{2,4,5}:{(28,1),(38,1)}
      35:{1,3}:{(29,1)}
      36:{1,4}:{(30,1),(31,1)}
      37:{1,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{3,5}:{(33,1),(34,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

281 :  0:{2,4,5,6}:{(2,1),(14,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(14,1),(27,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(7,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(27,1)}
       7:{1,5,6}:{(2,1),(13,1)}
       8:{2,3,5,6}:{(2,1),(4,1),(14,1),(15,1),(27,1)}
       9:{1,4,5}:{(3,1),(13,1),(16,1)}
      10:{2,4,5}:{(3,1),(4,1),(14,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,3,6}:{(5,1),(18,1),(27,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1),(19,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(20,1),(21,1),(39,1)}
      16:{1,3,5}:{(9,1),(19,1),(22,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(20,1),(23,1),(24,1),(25,1),(34,1),(36,1),(39,1)}
      18:{1,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{1,3,6}:{(13,1),(16,1),(26,1),(27,1)}
      20:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      21:{1,3,5,6}:{(15,1),(18,1),(27,1),(28,1),(38,1)}
      22:{1,3,4}:{(16,1),(29,1),(31,1)}
      23:{1,2,5}:{(16,1),(26,1),(29,1),(30,1)}
      24:{3,5}:{(17,1),(27,1),(31,1)}
      25:{1,4}:{(18,1),(31,1)}
      26:{1,2,6}:{(19,1),(23,1),(32,1)}
      27:{3,6}:{(20,1),(24,1)}
      28:{1,4,6}:{(21,1),(25,1),(33,1),(34,1)}
      29:{1,2,4}:{(22,1),(23,1),(35,1),(36,1)}
      30:{2,3,5}:{(23,1),(24,1),(32,1),(35,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{2,3,6}:{(26,1),(27,1),(30,1),(37,1)}
      33:{3,4,6}:{(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{1,4,5}:{(28,1),(38,1)}
      35:{2,3}:{(29,1)}
      36:{2,4}:{(30,1),(31,1)}
      37:{2,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{3,5}:{(33,1),(34,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

282 :  0:{1,2,5,6}:{(2,1),(3,1),(22,1),(23,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(10,1),(14,1),(15,1),(16,1),(22,1),(23,1)}
       2:{3,5,6}:{(0,1),(5,1),(6,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(18,1),(19,1),(20,1)}
       4:{3,5}:{(1,1),(6,1),(7,1)}
       5:{4,6}:{(2,1),(10,1)}
       6:{3,6}:{(3,1),(4,1)}
       7:{3,4}:{(4,1),(14,1),(15,1),(25,1)}
       8:{1,3,5}:{(4,1),(12,1),(14,1),(16,1),(22,1),(25,1),(28,1)}
       9:{2,3,5}:{(4,1),(13,1),(15,1),(16,1),(23,1),(25,1),(28,1)}
      10:{4,5}:{(5,1),(17,1),(29,1)}
      11:{3,4,6}:{(5,1),(6,1),(7,1),(17,1),(18,1),(19,1),(27,1),(29,1)}
      12:{1,3,6}:{(6,1),(8,1),(18,1),(20,1),(27,1)}
      13:{2,3,6}:{(6,1),(9,1),(19,1),(20,1),(27,1)}
      14:{1,4}:{(7,1),(8,1),(29,1)}
      15:{2,4}:{(7,1),(9,1),(29,1)}
      16:{1,2,5}:{(8,1),(9,1),(20,1),(21,1)}
      17:{3,5}:{(10,1),(11,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1),(22,1)}
      19:{2,4,6}:{(11,1),(13,1),(15,1),(23,1)}
      20:{1,2,6}:{(12,1),(13,1),(16,1)}
      21:{1,2,4}:{(14,1),(15,1),(16,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,5}:{(17,1),(19,1)}
      24:{1,2,4,6}:{(18,1),(19,1),(20,1),(21,1),(26,1),(27,1),(29,1)}
      25:{3}:{(21,1)}
      26:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      27:{3,6}:{(24,1),(25,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

283 :  0:{1,2,3,5,6}:{(1,1),(5,1),(16,1),(17,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(14,1),(15,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(9,1),(20,1),(21,1),(23,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,4,5}:{(5,1),(13,1),(14,1),(15,1),(26,1)}
       9:{3,5,6}:{(4,1),(5,1),(13,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(15,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,4,5}:{(8,1),(10,1),(20,1)}
      15:{2,4,5}:{(8,1),(11,1),(21,1)}
      16:{1,3,5,6}:{(9,1),(10,1),(20,1),(23,1),(28,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(21,1),(23,1),(28,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(18,1),(25,1),(26,1),(27,1)}
      23:{1,2,5,6}:{(16,1),(17,1),(18,1),(25,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(22,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

284 :  0:{2,4,5,6}:{(2,1),(15,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(15,1),(29,1),(32,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(7,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(25,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(26,1)}
       6:{3,4,6}:{(2,1),(3,1),(14,1),(15,1),(29,1)}
       7:{1,5,6}:{(2,1),(14,1)}
       8:{2,3,5,6}:{(2,1),(4,1),(15,1),(16,1),(29,1)}
       9:{1,4,5}:{(3,1),(14,1),(17,1)}
      10:{2,4,5}:{(3,1),(4,1),(15,1)}
      11:{1,2,5}:{(4,1),(5,1),(19,1)}
      12:{1,3,6}:{(5,1),(19,1),(29,1)}
      13:{1,3,4}:{(17,1),(20,1),(32,1)}
      14:{1,4,6}:{(6,1),(7,1),(9,1),(21,1)}
      15:{2,4,6}:{(6,1),(8,1),(10,1)}
      16:{1,2,5,6}:{(7,1),(8,1),(11,1),(22,1),(23,1),(39,1)}
      17:{1,3,5}:{(9,1),(13,1),(21,1),(24,1),(25,1)}
      18:{1,2,4,5}:{(9,1),(10,1),(11,1),(22,1),(24,1),(25,1),(26,1),(35,1),(36,1),(39,1)}
      19:{1,3,5}:{(11,1),(12,1),(25,1),(26,1)}
      20:{1,2,4}:{(13,1),(24,1),(27,1),(36,1)}
      21:{1,3,6}:{(14,1),(17,1),(28,1),(29,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(28,1),(29,1),(30,1),(37,1)}
      23:{1,3,5,6}:{(16,1),(19,1),(29,1),(30,1),(38,1)}
      24:{1,2,5}:{(17,1),(20,1),(28,1),(31,1)}
      25:{3,5}:{(18,1),(29,1),(32,1)}
      26:{1,4}:{(19,1),(32,1)}
      27:{2,3}:{(20,1)}
      28:{1,2,6}:{(21,1),(24,1),(33,1)}
      29:{3,6}:{(22,1),(25,1)}
      30:{1,4,6}:{(23,1),(26,1),(34,1),(35,1)}
      31:{2,3,5}:{(24,1),(25,1),(27,1),(33,1),(36,1),(39,1)}
      32:{3,4}:{(25,1),(26,1),(36,1)}
      33:{2,3,6}:{(28,1),(29,1),(31,1),(37,1)}
      34:{3,4,6}:{(29,1),(30,1),(32,1),(37,1),(38,1)}
      35:{1,4,5}:{(30,1),(38,1)}
      36:{2,4}:{(31,1),(32,1)}
      37:{2,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

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

286 :  0:{1,2,3,6}:{(2,1),(3,1),(27,1),(43,1)}
       1:{2,3,4,6}:{(2,1),(4,1),(13,1),(14,1),(27,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1),(39,1)}
       4:{2,3,5}:{(1,1),(6,1),(9,1),(19,1)}
       5:{1,3,4,6}:{(2,1),(10,1),(13,1),(25,1),(27,1)}
       6:{1,2,5}:{(2,1),(4,1),(10,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{2,3,5,6}:{(4,1),(11,1),(14,1),(27,1),(31,1)}
       9:{2,4,5}:{(4,1),(14,1),(15,1)}
      10:{1,3,5}:{(5,1),(6,1),(17,1),(19,1)}
      11:{1,2,5,6}:{(6,1),(8,1),(16,1),(18,1),(40,1),(44,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(9,1),(17,1),(18,1),(19,1),(24,1),(35,1),(38,1)}
      13:{3,4}:{(7,1),(19,1)}
      14:{2,4,6}:{(8,1),(9,1),(23,1)}
      15:{3,4,5}:{(9,1),(19,1),(23,1),(24,1)}
      16:{1,3,5,6}:{(10,1),(11,1),(25,1),(27,1),(41,1)}
      17:{1,4,5}:{(10,1),(25,1),(26,1)}
      18:{1,2,4,6}:{(11,1),(12,1),(14,1),(25,1),(27,1),(32,1),(42,1),(43,1)}
      19:{3,5}:{(12,1),(13,1),(27,1)}
      20:{1,3,4}:{(13,1),(28,1),(30,1)}
      21:{2,3,4}:{(13,1),(29,1),(30,1)}
      22:{2,4,5,6}:{(14,1),(31,1)}
      23:{3,4,6}:{(14,1),(15,1),(27,1),(31,1),(32,1)}
      24:{1,4,5}:{(15,1),(28,1),(32,1)}
      25:{1,4,6}:{(16,1),(17,1),(34,1)}
      26:{3,4,5}:{(17,1),(19,1),(34,1),(35,1)}
      27:{3,6}:{(18,1),(19,1)}
      28:{1,3,5}:{(19,1),(20,1),(24,1),(36,1),(38,1)}
      29:{2,3,5}:{(19,1),(21,1),(35,1),(37,1),(38,1)}
      30:{1,2,4}:{(20,1),(21,1),(38,1),(39,1)}
      31:{3,5,6}:{(22,1),(23,1),(40,1)}
      32:{1,4,6}:{(23,1),(24,1),(36,1),(40,1)}
      33:{1,4,5,6}:{(25,1),(41,1)}
      34:{3,4,6}:{(25,1),(26,1),(27,1),(41,1),(42,1)}
      35:{2,4,5}:{(26,1),(29,1),(42,1)}
      36:{1,3,6}:{(27,1),(28,1),(32,1),(43,1)}
      37:{2,3,6}:{(27,1),(29,1),(42,1),(43,1)}
      38:{1,2,5}:{(28,1),(29,1),(30,1),(43,1)}
      39:{1,2,3}:{(30,1)}
      40:{1,5,6}:{(31,1),(32,1)}
      41:{3,5,6}:{(33,1),(34,1),(44,1)}
      42:{2,4,6}:{(34,1),(35,1),(37,1),(44,1)}
      43:{1,2,6}:{(36,1),(37,1),(38,1)}
      44:{2,5,6}:{(41,1),(42,1)}

287 :  0:{1,2,3}:{(3,1)}
       1:{2,3,4}:{(3,1),(4,1),(12,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(8,1),(20,1),(24,1),(25,1),(43,1)}
       3:{1,2,4}:{(0,1),(1,1),(5,1),(8,1)}
       4:{2,3,5}:{(1,1),(8,1),(9,1),(10,1),(24,1)}
       5:{1,3,4}:{(3,1),(11,1),(12,1)}
       6:{1,2,3,6}:{(2,1),(13,1),(15,1),(36,1),(52,1)}
       7:{1,2,4}:{(2,1),(12,1)}
       8:{1,2,5}:{(3,1),(4,1),(11,1),(15,1)}
       9:{2,4,5}:{(4,1),(16,1),(17,1)}
      10:{2,3,6}:{(4,1),(15,1),(17,1),(36,1)}
      11:{1,3,5}:{(5,1),(8,1),(18,1),(19,1),(24,1)}
      12:{3,4}:{(7,1),(24,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(23,1),(25,1)}
      14:{1,2,4,5}:{(7,1),(8,1),(9,1),(18,1),(24,1),(25,1),(26,1),(27,1),(40,1),(43,1),(46,1)}
      15:{1,2,6}:{(8,1),(10,1),(19,1)}
      16:{3,4,5}:{(9,1),(24,1),(27,1),(28,1),(46,1)}
      17:{2,4,6}:{(9,1),(10,1),(28,1),(29,1)}
      18:{1,4,5}:{(11,1),(30,1),(31,1)}
      19:{1,3,6}:{(11,1),(15,1),(31,1),(36,1)}
      20:{1,2,3}:{(32,1)}
      21:{2,3,4}:{(12,1),(32,1),(33,1)}
      22:{1,3,4}:{(12,1),(32,1),(34,1)}
      23:{3,4,6}:{(12,1),(13,1),(35,1),(36,1),(53,1)}
      24:{3,5}:{(12,1),(14,1),(36,1)}
      25:{1,2,5}:{(13,1),(35,1)}
      26:{1,2,4,6}:{(14,1),(15,1),(17,1),(31,1),(36,1),(37,1),(38,1),(50,1),(52,1),(53,1)}
      27:{1,4,5}:{(16,1),(34,1),(38,1)}
      28:{3,4,6}:{(16,1),(17,1),(36,1),(38,1),(39,1),(53,1)}
      29:{2,5,6}:{(17,1),(39,1)}
      30:{3,4,5}:{(18,1),(24,1),(40,1),(41,1),(46,1)}
      31:{1,4,6}:{(18,1),(19,1),(41,1),(42,1)}
      32:{1,2,4}:{(20,1),(21,1),(22,1),(43,1)}
      33:{2,3,5}:{(21,1),(24,1),(40,1),(43,1),(44,1)}
      34:{1,3,5}:{(22,1),(24,1),(27,1),(43,1),(45,1)}
      35:{3,5}:{(23,1),(25,1),(46,1)}
      36:{3,6}:{(24,1),(26,1)}
      37:{1,2,5,6}:{(25,1),(26,1),(29,1),(42,1),(47,1),(48,1),(54,1)}
      38:{1,4,6}:{(27,1),(28,1),(45,1),(48,1)}
      39:{3,5,6}:{(28,1),(29,1),(48,1),(49,1)}
      40:{2,4,5}:{(30,1),(33,1),(50,1)}
      41:{3,4,6}:{(30,1),(31,1),(36,1),(50,1),(51,1),(53,1)}
      42:{1,5,6}:{(31,1),(51,1)}
      43:{1,2,5}:{(32,1),(33,1),(34,1),(52,1)}
      44:{2,3,6}:{(33,1),(36,1),(50,1),(52,1)}
      45:{1,3,6}:{(34,1),(36,1),(38,1),(52,1)}
      46:{4,5}:{(35,1),(53,1)}
      47:{3,5,6}:{(35,1),(36,1),(37,1),(53,1)}
      48:{1,5,6}:{(38,1),(39,1)}
      49:{4,5,6}:{(39,1),(53,1)}
      50:{2,4,6}:{(40,1),(41,1),(44,1),(54,1)}
      51:{3,5,6}:{(41,1),(42,1),(54,1),(55,1)}
      52:{1,2,6}:{(43,1),(44,1),(45,1)}
      53:{4,6}:{(46,1),(47,1)}
      54:{2,5,6}:{(50,1),(51,1)}
      55:{4,5,6}:{(51,1),(53,1)}

288 :  0:{1,3,4,5}:{(1,1),(2,1),(20,1),(42,1),(49,1)}
       1:{1,3,4,6}:{(0,1),(4,1),(5,1),(38,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(6,1),(14,1),(35,1),(39,1)}
       3:{3,4,5,6}:{(8,1),(9,1),(26,1),(63,1)}
       4:{1,3,5,6}:{(1,1),(8,1),(10,1),(26,1),(42,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(27,1)}
       6:{2,3,5}:{(2,1),(11,1),(12,1)}
       7:{1,2,3,5}:{(6,1),(13,1),(14,1),(32,1),(35,1)}
       8:{1,4,5,6}:{(3,1),(4,1),(52,1)}
       9:{2,4,5,6}:{(3,1),(15,1),(71,1)}
      10:{1,2,5,6}:{(4,1),(5,1),(17,1),(35,1)}
      11:{2,3,6}:{(5,1),(6,1)}
      12:{2,3,4}:{(6,1),(14,1)}
      13:{1,2,3,6}:{(7,1),(11,1),(23,1),(43,1)}
      14:{1,2,4}:{(7,1),(12,1),(20,1)}
      15:{2,3,5,6}:{(9,1),(21,1),(25,1),(26,1),(66,1)}
      16:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(25,1),(26,1),(27,1),(46,1),(48,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(26,1),(27,1),(28,1)}
      18:{2,3,4,6}:{(11,1),(12,1),(23,1),(27,1),(28,1),(45,1)}
      19:{2,3,4,5}:{(12,1),(24,1),(28,1),(29,1),(63,1)}
      20:{1,3,4}:{(14,1),(32,1)}
      21:{2,3,4,6}:{(15,1),(30,1),(33,1),(38,1)}
      22:{1,2,3,5,6}:{(13,1),(17,1),(34,1),(35,1),(37,1),(53,1),(54,1),(57,1),(74,1),(75,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(18,1),(31,1),(35,1)}
      24:{1,2,4,5}:{(14,1),(19,1),(32,1),(35,1),(36,1),(52,1)}
      25:{1,2,5,6}:{(15,1),(33,1),(37,1),(74,1)}
      26:{3,5,6}:{(16,1),(38,1),(57,1)}
      27:{2,4,6}:{(17,1),(38,1),(39,1)}
      28:{2,3,5}:{(18,1),(35,1),(39,1),(57,1)}
      29:{2,3,4,6}:{(19,1),(36,1),(40,1),(73,1)}
      30:{2,3,4,5}:{(21,1),(41,1),(49,1),(66,1),(77,1)}
      31:{1,3,4,6}:{(20,1),(23,1),(42,1),(43,1),(45,1),(64,1)}
      32:{1,3,5}:{(20,1),(24,1),(43,1)}
      33:{1,2,4,6}:{(21,1),(25,1),(41,1),(44,1),(48,1)}
      34:{1,2,4,6}:{(22,1),(27,1),(45,1),(46,1),(48,1),(64,1),(79,1)}
      35:{1,2,5}:{(23,1),(28,1),(42,1)}
      36:{1,2,4,6}:{(24,1),(29,1),(43,1),(47,1),(64,1)}
      37:{1,3,5,6}:{(25,1),(26,1),(44,1),(48,1),(67,1)}
      38:{3,4,6}:{(26,1),(27,1),(48,1),(49,1)}
      39:{2,4,5}:{(27,1),(28,1),(49,1)}
      40:{2,3,5,6}:{(28,1),(29,1),(47,1),(50,1),(68,1)}
      41:{1,2,4,5}:{(30,1),(33,1),(51,1),(59,1),(70,1),(74,1)}
      42:{1,3,5}:{(31,1),(35,1),(52,1),(57,1)}
      43:{1,3,6}:{(32,1),(36,1)}
      44:{1,3,6}:{(33,1),(51,1)}
      45:{3,4,6}:{(34,1),(57,1)}
      46:{1,2,4,5}:{(34,1),(35,1),(39,1),(52,1),(57,1),(59,1),(71,1),(74,1)}
      47:{1,2,5,6}:{(35,1),(36,1),(40,1),(53,1)}
      48:{1,4,6}:{(37,1),(38,1),(59,1)}
      49:{3,4,5}:{(38,1),(39,1),(57,1),(59,1)}
      50:{2,4,5,6}:{(39,1),(40,1),(60,1)}
      51:{1,3,5}:{(41,1),(44,1),(62,1)}
      52:{1,4,5}:{(42,1),(63,1),(64,1)}
      53:{1,3,5,6}:{(42,1),(43,1),(47,1),(64,1),(68,1)}
      54:{1,2,3,6}:{(44,1),(61,1),(65,1),(84,1)}
      55:{2,3,4,6}:{(45,1),(65,1),(66,1),(77,1),(79,1),(84,1)}
      56:{1,3,4,6}:{(44,1),(45,1),(48,1),(62,1),(65,1),(67,1)}
      57:{3,5}:{(45,1),(46,1)}
      58:{1,2,4,5,6}:{(46,1),(47,1),(50,1),(64,1),(68,1),(69,1),(79,1),(81,1)}
      59:{1,4,5}:{(48,1),(49,1),(67,1)}
      60:{3,4,5,6}:{(49,1),(50,1),(68,1),(69,1)}
      61:{1,2,3,5}:{(51,1),(54,1),(70,1),(74,1),(82,1)}
      62:{1,3,4}:{(51,1),(70,1)}
      63:{3,4,5}:{(52,1),(57,1),(71,1),(73,1)}
      64:{1,4,6}:{(52,1),(53,1),(73,1)}
      65:{1,2,4,6}:{(54,1),(55,1),(56,1),(70,1),(74,1)}
      66:{2,3,5}:{(55,1),(57,1),(71,1),(74,1)}
      67:{1,3,5}:{(56,1),(57,1),(59,1),(74,1)}
      68:{3,5,6}:{(57,1),(58,1),(73,1)}
      69:{1,4,5,6}:{(59,1),(60,1),(76,1)}
      70:{1,2,4}:{(61,1),(62,1),(77,1)}
      71:{2,4,5}:{(63,1),(66,1),(79,1)}
      72:{1,3,4,5}:{(62,1),(63,1),(67,1),(78,1),(80,1)}
      73:{3,4,6}:{(63,1),(64,1),(68,1),(79,1)}
      74:{1,2,5}:{(65,1),(66,1),(67,1)}
      75:{2,3,5,6}:{(66,1),(68,1),(79,1),(81,1),(84,1)}
      76:{1,3,5,6}:{(67,1),(68,1),(69,1),(80,1),(81,1)}
      77:{2,3,4}:{(70,1),(82,1)}
      78:{1,2,4,5}:{(70,1),(71,1),(72,1),(74,1),(82,1),(83,1)}
      79:{2,4,6}:{(71,1),(73,1),(75,1)}
      80:{1,3,4,6}:{(72,1),(73,1),(76,1),(83,1)}
      81:{1,2,5,6}:{(74,1),(75,1),(76,1),(83,1)}
      82:{2,3,5}:{(77,1),(78,1),(84,1)}
      83:{1,2,4,6}:{(78,1),(79,1),(80,1),(81,1),(84,1)}
      84:{2,3,6}:{(82,1),(83,1)}

289 :  0:{2,4,5,6}:{(1,1),(10,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1)}
       2:{2,3,4,6}:{(7,1),(8,1),(10,1),(23,1),(34,1),(35,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(23,1)}
       4:{1,5,6}:{(1,1),(9,1)}
       5:{2,3,5,6}:{(1,1),(7,1),(10,1),(11,1),(23,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(27,1)}
       7:{2,3,5}:{(2,1),(13,1),(14,1),(27,1),(39,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(28,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1),(16,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1)}
      12:{1,4,5}:{(6,1),(9,1),(19,1)}
      13:{2,4,5}:{(6,1),(7,1),(10,1)}
      14:{1,2,5}:{(7,1),(8,1),(21,1)}
      15:{1,3,6}:{(8,1),(21,1),(23,1)}
      16:{1,3,6}:{(9,1),(19,1),(22,1),(23,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(20,1),(22,1),(23,1),(24,1),(35,1)}
      18:{1,3,5,6}:{(11,1),(21,1),(23,1),(24,1),(36,1)}
      19:{1,3,5}:{(12,1),(16,1),(25,1),(26,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(31,1),(38,1),(39,1)}
      21:{1,3,5}:{(14,1),(15,1),(27,1),(28,1)}
      22:{1,2,6}:{(16,1),(26,1),(29,1)}
      23:{3,6}:{(17,1),(27,1)}
      24:{1,4,6}:{(18,1),(28,1),(30,1),(31,1)}
      25:{1,3,4}:{(19,1),(32,1),(34,1)}
      26:{1,2,5}:{(19,1),(22,1),(32,1),(33,1)}
      27:{3,5}:{(20,1),(23,1),(34,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{2,3,6}:{(22,1),(23,1),(33,1),(35,1)}
      30:{3,4,6}:{(23,1),(24,1),(34,1),(35,1),(36,1)}
      31:{1,4,5}:{(24,1),(36,1)}
      32:{1,2,4}:{(25,1),(26,1),(37,1),(38,1)}
      33:{2,3,5}:{(26,1),(27,1),(29,1),(37,1),(38,1),(39,1)}
      34:{3,4}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(29,1),(30,1),(38,1),(39,1)}
      36:{3,5}:{(30,1),(31,1),(39,1)}
      37:{2,3}:{(32,1)}
      38:{2,4}:{(33,1),(34,1)}
      39:{2,5}:{(35,1),(36,1)}

290 :  0:{2,3,4,6}:{(3,1),(4,1),(6,1),(19,1),(28,1),(32,1)}
       1:{2,3,5,6}:{(4,1),(5,1),(6,1),(7,1),(19,1)}
       2:{2,4,5,6}:{(6,1),(7,1)}
       3:{1,2,4,6}:{(0,1),(8,1),(9,1),(21,1)}
       4:{2,3,5}:{(0,1),(9,1),(10,1),(22,1),(37,1)}
       5:{1,2,5,6}:{(1,1),(9,1),(11,1),(12,1),(14,1),(37,1)}
       6:{2,4,6}:{(1,1),(10,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1)}
       8:{1,3,6}:{(3,1),(15,1),(19,1)}
       9:{1,2,5}:{(3,1),(4,1),(15,1)}
      10:{2,4,5}:{(4,1),(6,1),(17,1)}
      11:{1,3,5,6}:{(5,1),(15,1),(18,1),(19,1),(31,1)}
      12:{1,2,4,6}:{(5,1),(6,1),(16,1),(18,1),(19,1),(20,1),(32,1),(33,1)}
      13:{3,4,6}:{(6,1),(7,1),(17,1),(19,1),(20,1)}
      14:{1,5,6}:{(7,1),(20,1)}
      15:{1,3,5}:{(8,1),(9,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(12,1),(21,1),(22,1),(23,1),(24,1),(35,1),(36,1),(37,1)}
      17:{3,4,5}:{(10,1),(13,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(21,1),(24,1),(25,1)}
      19:{3,6}:{(12,1),(22,1)}
      20:{1,4,6}:{(13,1),(14,1),(23,1),(26,1)}
      21:{1,4}:{(15,1),(28,1)}
      22:{3,5}:{(16,1),(19,1),(28,1)}
      23:{1,4,5}:{(17,1),(20,1),(29,1)}
      24:{1,4,5}:{(18,1),(31,1)}
      25:{3,4,6}:{(18,1),(19,1),(28,1),(31,1),(32,1)}
      26:{1,3,6}:{(19,1),(20,1),(29,1),(33,1)}
      27:{2,3,6}:{(19,1),(30,1),(32,1),(33,1)}
      28:{3,4}:{(21,1),(22,1),(35,1)}
      29:{1,3,5}:{(22,1),(23,1),(26,1),(34,1),(36,1)}
      30:{2,3,5}:{(22,1),(27,1),(35,1),(36,1),(37,1),(39,1)}
      31:{3,5}:{(24,1),(25,1),(37,1)}
      32:{2,4,6}:{(25,1),(27,1),(35,1),(37,1)}
      33:{1,2,6}:{(26,1),(27,1),(36,1)}
      34:{1,3,4}:{(28,1),(29,1),(38,1)}
      35:{2,4}:{(28,1),(30,1)}
      36:{1,2,5}:{(29,1),(30,1),(33,1),(38,1)}
      37:{2,5}:{(31,1),(32,1)}
      38:{1,2,4}:{(34,1),(35,1),(36,1),(39,1)}
      39:{2,3}:{(38,1)}

291 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(16,1)}
       1:{3,5,6}:{(0,1),(2,1),(22,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(14,1),(19,1),(26,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(15,1),(19,1),(25,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(22,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(29,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(28,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(21,1)}
       9:{1,4,5}:{(5,1),(6,1),(14,1)}
      10:{2,4,5}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(14,1),(17,1),(19,1),(27,1)}
      12:{2,3,4,6}:{(7,1),(15,1),(18,1),(19,1),(27,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(16,1),(19,1)}
      14:{1,3,5}:{(9,1),(11,1),(20,1),(22,1)}
      15:{2,3,5}:{(10,1),(12,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(13,1),(20,1),(21,1),(22,1),(28,1),(29,1)}
      17:{1,2,4,6}:{(11,1),(20,1),(23,1),(28,1)}
      18:{1,2,4,6}:{(12,1),(21,1),(24,1),(29,1)}
      19:{3,6}:{(13,1),(22,1)}
      20:{1,2,5}:{(14,1),(17,1),(25,1)}
      21:{1,2,5}:{(15,1),(18,1),(26,1)}
      22:{3,5}:{(16,1),(19,1),(27,1)}
      23:{2,3,6}:{(17,1),(19,1),(25,1)}
      24:{1,3,6}:{(18,1),(19,1),(26,1)}
      25:{2,3,5}:{(20,1),(22,1),(23,1),(28,1)}
      26:{1,3,5}:{(21,1),(22,1),(24,1),(29,1)}
      27:{3,4}:{(22,1),(28,1),(29,1)}
      28:{2,4}:{(25,1),(27,1)}
      29:{1,4}:{(26,1),(27,1)}

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

293 :  0:{2,3,4,6}:{(1,1),(2,1),(8,1),(21,1),(23,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(16,1)}
       2:{2,3,5}:{(0,1),(5,1),(6,1),(17,1),(38,1)}
       3:{2,3,5,6}:{(2,1),(7,1),(8,1),(19,1),(21,1)}
       4:{1,3,6}:{(1,1),(9,1),(21,1)}
       5:{1,2,5}:{(1,1),(2,1),(9,1)}
       6:{2,4,5}:{(2,1),(8,1),(11,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(13,1),(14,1),(26,1),(38,1)}
       8:{2,4,6}:{(3,1),(6,1),(15,1)}
       9:{1,3,5}:{(4,1),(5,1),(16,1),(17,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(14,1),(16,1),(17,1),(18,1),(27,1),(32,1),(33,1),(38,1)}
      11:{3,4,5}:{(6,1),(15,1),(17,1),(18,1)}
      12:{2,4,5,6}:{(8,1),(19,1)}
      13:{1,3,5,6}:{(7,1),(9,1),(20,1),(21,1),(34,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1),(35,1),(36,1)}
      15:{3,4,6}:{(8,1),(11,1),(19,1),(21,1),(22,1)}
      16:{1,4}:{(9,1),(23,1)}
      17:{3,5}:{(10,1),(21,1),(23,1)}
      18:{1,4,5}:{(11,1),(22,1),(24,1)}
      19:{3,5,6}:{(12,1),(15,1),(26,1)}
      20:{1,4,6}:{(13,1),(16,1),(27,1),(28,1)}
      21:{3,6}:{(14,1),(17,1)}
      22:{1,4,6}:{(15,1),(18,1),(26,1),(29,1)}
      23:{3,4}:{(16,1),(17,1),(32,1)}
      24:{1,3,5}:{(17,1),(18,1),(29,1),(31,1),(33,1)}
      25:{2,3,5}:{(17,1),(30,1),(32,1),(33,1),(38,1),(39,1)}
      26:{1,5,6}:{(19,1),(22,1)}
      27:{1,4,5}:{(20,1),(34,1)}
      28:{3,4,6}:{(20,1),(21,1),(23,1),(34,1),(35,1)}
      29:{1,3,6}:{(21,1),(22,1),(24,1),(36,1)}
      30:{2,3,6}:{(21,1),(25,1),(35,1),(36,1)}
      31:{1,3,4}:{(23,1),(24,1),(37,1)}
      32:{2,4}:{(23,1),(25,1)}
      33:{1,2,5}:{(24,1),(25,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(28,1),(30,1),(32,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,5}:{(34,1),(35,1)}
      39:{2,3}:{(37,1)}

294 :  0:{2,3,4}:{(2,1),(3,1),(33,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(26,1),(44,1)}
       2:{2,3,5}:{(0,1),(8,1),(9,1),(10,1),(26,1)}
       3:{1,2,4}:{(0,1),(10,1),(11,1),(28,1)}
       4:{1,3,4}:{(12,1),(13,1),(33,1)}
       5:{4,5,6}:{(14,1),(41,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(32,1),(41,1)}
       7:{1,4,5}:{(1,1),(12,1),(15,1)}
       8:{2,4,5}:{(1,1),(2,1),(16,1)}
       9:{2,3,6}:{(2,1),(16,1),(18,1),(32,1)}
      10:{1,2,5}:{(2,1),(3,1),(18,1),(19,1)}
      11:{1,3}:{(3,1)}
      12:{1,3,5}:{(4,1),(7,1),(20,1),(21,1),(26,1)}
      13:{1,2,4}:{(4,1),(21,1),(22,1),(36,1)}
      14:{3,5,6}:{(5,1),(6,1),(23,1),(24,1)}
      15:{1,4,6}:{(6,1),(7,1),(20,1),(23,1)}
      16:{2,4,6}:{(6,1),(8,1),(9,1),(24,1)}
      17:{1,2,4,5}:{(7,1),(8,1),(10,1),(21,1),(25,1),(26,1),(28,1),(36,1),(39,1),(43,1),(44,1)}
      18:{1,2,6}:{(9,1),(10,1),(27,1)}
      19:{1,3,5}:{(10,1),(11,1),(26,1),(27,1),(28,1),(39,1)}
      20:{1,3,6}:{(12,1),(15,1),(29,1),(32,1)}
      21:{1,2,5}:{(12,1),(13,1),(29,1),(30,1)}
      22:{2,3}:{(13,1)}
      23:{1,5,6}:{(14,1),(15,1)}
      24:{2,5,6}:{(14,1),(16,1)}
      25:{1,2,4,6}:{(15,1),(16,1),(17,1),(18,1),(29,1),(31,1),(32,1),(34,1),(40,1),(41,1)}
      26:{3,5}:{(17,1),(32,1),(33,1)}
      27:{1,3,6}:{(18,1),(19,1),(32,1),(34,1)}
      28:{1,4}:{(19,1),(33,1)}
      29:{1,2,6}:{(20,1),(21,1),(35,1)}
      30:{2,3,5}:{(21,1),(22,1),(26,1),(35,1),(36,1),(43,1)}
      31:{1,2,5,6}:{(23,1),(24,1),(25,1),(37,1),(39,1),(43,1)}
      32:{3,6}:{(25,1),(26,1)}
      33:{3,4}:{(26,1),(28,1),(36,1)}
      34:{1,4,6}:{(27,1),(28,1),(38,1),(39,1)}
      35:{2,3,6}:{(29,1),(30,1),(32,1),(40,1)}
      36:{2,4}:{(30,1),(33,1)}
      37:{3,5,6}:{(31,1),(32,1),(41,1),(42,1)}
      38:{3,4,6}:{(32,1),(33,1),(34,1),(40,1),(41,1),(42,1)}
      39:{1,5}:{(34,1),(42,1)}
      40:{2,4,6}:{(35,1),(36,1),(38,1),(43,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{2,5}:{(40,1),(42,1)}
      44:{4,5}:{(41,1),(42,1)}

295 :  0:{1,2,3}:{(4,1)}
       1:{2,3,4}:{(4,1),(5,1),(18,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(8,1),(9,1),(14,1),(27,1),(29,1),(32,1)}
       3:{3,4,5}:{(10,1),(11,1),(12,1),(29,1),(49,1)}
       4:{1,2,4}:{(0,1),(1,1),(13,1),(14,1)}
       5:{2,3,5}:{(1,1),(10,1),(14,1),(15,1),(29,1)}
       6:{1,2,3}:{(16,1)}
       7:{1,3,4}:{(16,1),(17,1),(18,1)}
       8:{1,2,4}:{(2,1),(18,1)}
       9:{1,2,3,6}:{(2,1),(20,1),(25,1),(39,1),(41,1)}
      10:{2,4,5}:{(3,1),(5,1),(21,1)}
      11:{1,4,5}:{(3,1),(17,1),(22,1)}
      12:{3,4,6}:{(3,1),(21,1),(22,1),(23,1),(41,1),(53,1)}
      13:{1,3,4}:{(4,1),(18,1),(24,1)}
      14:{1,2,5}:{(4,1),(5,1),(24,1),(25,1)}
      15:{2,3,6}:{(5,1),(21,1),(25,1),(41,1)}
      16:{1,2,4}:{(6,1),(7,1),(26,1),(27,1)}
      17:{1,3,5}:{(7,1),(11,1),(27,1),(28,1),(29,1)}
      18:{3,4}:{(8,1),(29,1)}
      19:{1,2,4,5}:{(8,1),(10,1),(11,1),(14,1),(27,1),(29,1),(31,1),(32,1),(36,1),(45,1),(49,1)}
      20:{1,2,4,6}:{(8,1),(9,1),(30,1),(32,1)}
      21:{2,4,6}:{(10,1),(12,1),(15,1),(33,1)}
      22:{1,4,6}:{(11,1),(12,1),(28,1),(34,1)}
      23:{3,5,6}:{(12,1),(33,1),(34,1),(35,1)}
      24:{1,3,5}:{(13,1),(14,1),(29,1),(36,1),(37,1)}
      25:{1,2,6}:{(14,1),(15,1),(37,1)}
      26:{2,3,4}:{(16,1),(18,1),(38,1)}
      27:{1,2,5}:{(16,1),(17,1),(38,1),(39,1)}
      28:{1,3,6}:{(17,1),(22,1),(39,1),(41,1)}
      29:{3,5}:{(18,1),(19,1),(41,1)}
      30:{3,4,6}:{(18,1),(20,1),(41,1),(42,1),(53,1)}
      31:{1,2,4,6}:{(19,1),(21,1),(22,1),(25,1),(39,1),(41,1),(43,1),(44,1),(51,1),(53,1)}
      32:{1,2,5}:{(20,1),(42,1)}
      33:{2,5,6}:{(21,1),(23,1)}
      34:{1,5,6}:{(22,1),(23,1)}
      35:{4,5,6}:{(23,1),(53,1)}
      36:{1,4,5}:{(24,1),(40,1),(44,1)}
      37:{1,3,6}:{(24,1),(25,1),(41,1),(44,1)}
      38:{2,3,5}:{(26,1),(27,1),(29,1),(45,1),(46,1)}
      39:{1,2,6}:{(27,1),(28,1),(46,1)}
      40:{3,4,5}:{(29,1),(36,1),(45,1),(47,1),(49,1)}
      41:{3,6}:{(29,1),(31,1)}
      42:{3,5}:{(30,1),(32,1),(49,1)}
      43:{1,2,5,6}:{(31,1),(32,1),(33,1),(34,1),(48,1),(50,1),(54,1)}
      44:{1,4,6}:{(36,1),(37,1),(47,1),(50,1)}
      45:{2,4,5}:{(38,1),(40,1),(51,1)}
      46:{2,3,6}:{(38,1),(39,1),(41,1),(51,1)}
      47:{3,4,6}:{(40,1),(41,1),(44,1),(51,1),(52,1),(53,1)}
      48:{3,5,6}:{(41,1),(42,1),(43,1),(53,1)}
      49:{4,5}:{(42,1),(53,1)}
      50:{1,5,6}:{(44,1),(52,1)}
      51:{2,4,6}:{(45,1),(46,1),(47,1),(54,1)}
      52:{3,5,6}:{(47,1),(50,1),(54,1),(55,1)}
      53:{4,6}:{(48,1),(49,1)}
      54:{2,5,6}:{(51,1),(52,1)}
      55:{4,5,6}:{(52,1),(53,1)}

296 :  0:{1,4,5,6}:{(2,1),(14,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(14,1),(29,1),(32,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(25,1)}
       4:{1,3,5}:{(1,1),(9,1),(11,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(26,1)}
       6:{3,4,6}:{(2,1),(3,1),(14,1),(15,1),(29,1)}
       7:{1,3,5,6}:{(2,1),(4,1),(14,1),(16,1),(29,1)}
       8:{2,5,6}:{(2,1),(15,1)}
       9:{1,4,5}:{(3,1),(4,1),(14,1)}
      10:{2,4,5}:{(3,1),(15,1),(17,1)}
      11:{1,2,5}:{(4,1),(5,1),(19,1)}
      12:{2,3,6}:{(5,1),(19,1),(29,1)}
      13:{2,3,4}:{(17,1),(20,1),(32,1)}
      14:{1,4,6}:{(6,1),(7,1),(9,1)}
      15:{2,4,6}:{(6,1),(8,1),(10,1),(21,1)}
      16:{1,2,5,6}:{(7,1),(8,1),(11,1),(22,1),(23,1),(39,1)}
      17:{2,3,5}:{(10,1),(13,1),(21,1),(24,1),(25,1)}
      18:{1,2,4,5}:{(9,1),(10,1),(11,1),(22,1),(24,1),(25,1),(26,1),(35,1),(36,1),(39,1)}
      19:{2,3,5}:{(11,1),(12,1),(25,1),(26,1)}
      20:{1,2,4}:{(13,1),(24,1),(27,1),(36,1)}
      21:{2,3,6}:{(15,1),(17,1),(28,1),(29,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(28,1),(29,1),(30,1),(37,1)}
      23:{2,3,5,6}:{(16,1),(19,1),(29,1),(30,1),(38,1)}
      24:{1,2,5}:{(17,1),(20,1),(28,1),(31,1)}
      25:{3,5}:{(18,1),(29,1),(32,1)}
      26:{2,4}:{(19,1),(32,1)}
      27:{1,3}:{(20,1)}
      28:{1,2,6}:{(21,1),(24,1),(33,1)}
      29:{3,6}:{(22,1),(25,1)}
      30:{2,4,6}:{(23,1),(26,1),(34,1),(35,1)}
      31:{1,3,5}:{(24,1),(25,1),(27,1),(33,1),(36,1),(39,1)}
      32:{3,4}:{(25,1),(26,1),(36,1)}
      33:{1,3,6}:{(28,1),(29,1),(31,1),(37,1)}
      34:{3,4,6}:{(29,1),(30,1),(32,1),(37,1),(38,1)}
      35:{2,4,5}:{(30,1),(38,1)}
      36:{1,4}:{(31,1),(32,1)}
      37:{1,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

297 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(13,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(12,1),(13,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(7,1),(17,1),(18,1),(27,1)}
       3:{1,4,6}:{(0,1),(5,1),(8,1),(25,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(26,1)}
       5:{1,4,5}:{(3,1),(11,1)}
       6:{2,4,5}:{(4,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(13,1),(14,1),(15,1),(24,1),(28,1)}
       8:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(21,1)}
       9:{3,4,6}:{(4,1),(12,1),(13,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(7,1),(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      11:{3,5}:{(5,1),(8,1),(17,1)}
      12:{3,5}:{(6,1),(9,1),(18,1)}
      13:{3,6}:{(7,1),(16,1),(29,1)}
      14:{2,4,6}:{(8,1),(17,1),(20,1),(26,1)}
      15:{1,4,6}:{(9,1),(18,1),(19,1),(25,1)}
      16:{3,5}:{(10,1),(13,1),(21,1)}
      17:{2,5}:{(11,1),(14,1)}
      18:{1,5}:{(12,1),(15,1)}
      19:{1,3,6}:{(13,1),(15,1),(22,1),(24,1)}
      20:{2,3,6}:{(13,1),(14,1),(23,1),(24,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(18,1),(19,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(17,1),(20,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(19,1),(20,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

298 :  0:{1,2,3,6}:{(2,1),(3,1),(27,1),(43,1)}
       1:{1,3,4,6}:{(2,1),(4,1),(13,1),(14,1),(27,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1),(39,1)}
       4:{1,3,5}:{(1,1),(6,1),(9,1),(19,1)}
       5:{2,3,4,6}:{(2,1),(10,1),(13,1),(25,1),(27,1)}
       6:{1,2,5}:{(2,1),(4,1),(10,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{1,3,5,6}:{(4,1),(11,1),(14,1),(27,1),(31,1)}
       9:{1,4,5}:{(4,1),(14,1),(15,1)}
      10:{2,3,5}:{(5,1),(6,1),(17,1),(19,1)}
      11:{1,2,5,6}:{(6,1),(8,1),(16,1),(18,1),(40,1),(44,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(9,1),(17,1),(18,1),(19,1),(24,1),(35,1),(38,1)}
      13:{3,4}:{(7,1),(19,1)}
      14:{1,4,6}:{(8,1),(9,1),(23,1)}
      15:{3,4,5}:{(9,1),(19,1),(23,1),(24,1)}
      16:{2,3,5,6}:{(10,1),(11,1),(25,1),(27,1),(41,1)}
      17:{2,4,5}:{(10,1),(25,1),(26,1)}
      18:{1,2,4,6}:{(11,1),(12,1),(14,1),(25,1),(27,1),(32,1),(42,1),(43,1)}
      19:{3,5}:{(12,1),(13,1),(27,1)}
      20:{1,3,4}:{(13,1),(28,1),(30,1)}
      21:{2,3,4}:{(13,1),(29,1),(30,1)}
      22:{1,4,5,6}:{(14,1),(31,1)}
      23:{3,4,6}:{(14,1),(15,1),(27,1),(31,1),(32,1)}
      24:{2,4,5}:{(15,1),(29,1),(32,1)}
      25:{2,4,6}:{(16,1),(17,1),(34,1)}
      26:{3,4,5}:{(17,1),(19,1),(34,1),(35,1)}
      27:{3,6}:{(18,1),(19,1)}
      28:{1,3,5}:{(19,1),(20,1),(35,1),(36,1),(38,1)}
      29:{2,3,5}:{(19,1),(21,1),(24,1),(37,1),(38,1)}
      30:{1,2,4}:{(20,1),(21,1),(38,1),(39,1)}
      31:{3,5,6}:{(22,1),(23,1),(40,1)}
      32:{2,4,6}:{(23,1),(24,1),(37,1),(40,1)}
      33:{2,4,5,6}:{(25,1),(41,1)}
      34:{3,4,6}:{(25,1),(26,1),(27,1),(41,1),(42,1)}
      35:{1,4,5}:{(26,1),(28,1),(42,1)}
      36:{1,3,6}:{(27,1),(28,1),(42,1),(43,1)}
      37:{2,3,6}:{(27,1),(29,1),(32,1),(43,1)}
      38:{1,2,5}:{(28,1),(29,1),(30,1),(43,1)}
      39:{1,2,3}:{(30,1)}
      40:{2,5,6}:{(31,1),(32,1)}
      41:{3,5,6}:{(33,1),(34,1),(44,1)}
      42:{1,4,6}:{(34,1),(35,1),(36,1),(44,1)}
      43:{1,2,6}:{(36,1),(37,1),(38,1)}
      44:{1,5,6}:{(41,1),(42,1)}

299 :  0:{1,2,3}:{(3,1)}
       1:{1,3,4}:{(3,1),(4,1),(12,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(8,1),(20,1),(24,1),(25,1),(43,1)}
       3:{1,2,4}:{(0,1),(1,1),(5,1),(8,1)}
       4:{1,3,5}:{(1,1),(8,1),(9,1),(10,1),(24,1)}
       5:{2,3,4}:{(3,1),(11,1),(12,1)}
       6:{1,2,3,6}:{(2,1),(13,1),(15,1),(36,1),(52,1)}
       7:{1,2,4}:{(2,1),(12,1)}
       8:{1,2,5}:{(3,1),(4,1),(11,1),(15,1)}
       9:{1,4,5}:{(4,1),(16,1),(17,1)}
      10:{1,3,6}:{(4,1),(15,1),(17,1),(36,1)}
      11:{2,3,5}:{(5,1),(8,1),(18,1),(19,1),(24,1)}
      12:{3,4}:{(7,1),(24,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(23,1),(25,1)}
      14:{1,2,4,5}:{(7,1),(8,1),(9,1),(18,1),(24,1),(25,1),(26,1),(27,1),(40,1),(43,1),(46,1)}
      15:{1,2,6}:{(8,1),(10,1),(19,1)}
      16:{3,4,5}:{(9,1),(24,1),(27,1),(28,1),(46,1)}
      17:{1,4,6}:{(9,1),(10,1),(28,1),(29,1)}
      18:{2,4,5}:{(11,1),(30,1),(31,1)}
      19:{2,3,6}:{(11,1),(15,1),(31,1),(36,1)}
      20:{1,2,3}:{(32,1)}
      21:{2,3,4}:{(12,1),(32,1),(33,1)}
      22:{1,3,4}:{(12,1),(32,1),(34,1)}
      23:{3,4,6}:{(12,1),(13,1),(35,1),(36,1),(53,1)}
      24:{3,5}:{(12,1),(14,1),(36,1)}
      25:{1,2,5}:{(13,1),(35,1)}
      26:{1,2,4,6}:{(14,1),(15,1),(17,1),(31,1),(36,1),(37,1),(38,1),(50,1),(52,1),(53,1)}
      27:{2,4,5}:{(16,1),(33,1),(38,1)}
      28:{3,4,6}:{(16,1),(17,1),(36,1),(38,1),(39,1),(53,1)}
      29:{1,5,6}:{(17,1),(39,1)}
      30:{3,4,5}:{(18,1),(24,1),(40,1),(41,1),(46,1)}
      31:{2,4,6}:{(18,1),(19,1),(41,1),(42,1)}
      32:{1,2,4}:{(20,1),(21,1),(22,1),(43,1)}
      33:{2,3,5}:{(21,1),(24,1),(27,1),(43,1),(44,1)}
      34:{1,3,5}:{(22,1),(24,1),(40,1),(43,1),(45,1)}
      35:{3,5}:{(23,1),(25,1),(46,1)}
      36:{3,6}:{(24,1),(26,1)}
      37:{1,2,5,6}:{(25,1),(26,1),(29,1),(42,1),(47,1),(48,1),(54,1)}
      38:{2,4,6}:{(27,1),(28,1),(44,1),(48,1)}
      39:{3,5,6}:{(28,1),(29,1),(48,1),(49,1)}
      40:{1,4,5}:{(30,1),(34,1),(50,1)}
      41:{3,4,6}:{(30,1),(31,1),(36,1),(50,1),(51,1),(53,1)}
      42:{2,5,6}:{(31,1),(51,1)}
      43:{1,2,5}:{(32,1),(33,1),(34,1),(52,1)}
      44:{2,3,6}:{(33,1),(36,1),(38,1),(52,1)}
      45:{1,3,6}:{(34,1),(36,1),(50,1),(52,1)}
      46:{4,5}:{(35,1),(53,1)}
      47:{3,5,6}:{(35,1),(36,1),(37,1),(53,1)}
      48:{2,5,6}:{(38,1),(39,1)}
      49:{4,5,6}:{(39,1),(53,1)}
      50:{1,4,6}:{(40,1),(41,1),(45,1),(54,1)}
      51:{3,5,6}:{(41,1),(42,1),(54,1),(55,1)}
      52:{1,2,6}:{(43,1),(44,1),(45,1)}
      53:{4,6}:{(46,1),(47,1)}
      54:{1,5,6}:{(50,1),(51,1)}
      55:{4,5,6}:{(51,1),(53,1)}

300 :  0:{1,3,4,6}:{(3,1),(4,1),(6,1),(19,1),(28,1),(32,1)}
       1:{1,3,5,6}:{(4,1),(5,1),(6,1),(7,1),(19,1)}
       2:{1,4,5,6}:{(6,1),(7,1)}
       3:{1,2,4,6}:{(0,1),(8,1),(9,1),(21,1)}
       4:{1,3,5}:{(0,1),(9,1),(10,1),(22,1),(37,1)}
       5:{1,2,5,6}:{(1,1),(9,1),(11,1),(12,1),(14,1),(37,1)}
       6:{1,4,6}:{(1,1),(10,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1)}
       8:{2,3,6}:{(3,1),(15,1),(19,1)}
       9:{1,2,5}:{(3,1),(4,1),(15,1)}
      10:{1,4,5}:{(4,1),(6,1),(17,1)}
      11:{2,3,5,6}:{(5,1),(15,1),(18,1),(19,1),(31,1)}
      12:{1,2,4,6}:{(5,1),(6,1),(16,1),(18,1),(19,1),(20,1),(32,1),(33,1)}
      13:{3,4,6}:{(6,1),(7,1),(17,1),(19,1),(20,1)}
      14:{2,5,6}:{(7,1),(20,1)}
      15:{2,3,5}:{(8,1),(9,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(12,1),(21,1),(22,1),(23,1),(24,1),(34,1),(36,1),(37,1)}
      17:{3,4,5}:{(10,1),(13,1),(22,1),(23,1)}
      18:{2,4,6}:{(11,1),(21,1),(24,1),(25,1)}
      19:{3,6}:{(12,1),(22,1)}
      20:{2,4,6}:{(13,1),(14,1),(23,1),(27,1)}
      21:{2,4}:{(15,1),(28,1)}
      22:{3,5}:{(16,1),(19,1),(28,1)}
      23:{2,4,5}:{(17,1),(20,1),(30,1)}
      24:{2,4,5}:{(18,1),(31,1)}
      25:{3,4,6}:{(18,1),(19,1),(28,1),(31,1),(32,1)}
      26:{1,3,6}:{(19,1),(29,1),(32,1),(33,1)}
      27:{2,3,6}:{(19,1),(20,1),(30,1),(33,1)}
      28:{3,4}:{(21,1),(22,1),(34,1)}
      29:{1,3,5}:{(22,1),(26,1),(34,1),(36,1),(37,1),(39,1)}
      30:{2,3,5}:{(22,1),(23,1),(27,1),(35,1),(36,1)}
      31:{3,5}:{(24,1),(25,1),(37,1)}
      32:{1,4,6}:{(25,1),(26,1),(34,1),(37,1)}
      33:{1,2,6}:{(26,1),(27,1),(36,1)}
      34:{1,4}:{(28,1),(29,1)}
      35:{2,3,4}:{(28,1),(30,1),(38,1)}
      36:{1,2,5}:{(29,1),(30,1),(33,1),(38,1)}
      37:{1,5}:{(31,1),(32,1)}
      38:{1,2,4}:{(34,1),(35,1),(36,1),(39,1)}
      39:{1,3}:{(38,1)}

301 :  0:{1,4,5,6}:{(1,1),(9,1)}
       1:{3,5,6}:{(0,1),(3,1),(5,1)}
       2:{1,3,4,6}:{(7,1),(8,1),(9,1),(23,1),(34,1),(35,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(23,1)}
       4:{1,3,5,6}:{(1,1),(7,1),(9,1),(11,1),(23,1)}
       5:{2,5,6}:{(1,1),(10,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(27,1)}
       7:{1,3,5}:{(2,1),(12,1),(14,1),(27,1),(39,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(28,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1),(16,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1)}
      12:{1,4,5}:{(6,1),(7,1),(9,1)}
      13:{2,4,5}:{(6,1),(10,1),(19,1)}
      14:{1,2,5}:{(7,1),(8,1),(21,1)}
      15:{2,3,6}:{(8,1),(21,1),(23,1)}
      16:{2,3,6}:{(10,1),(19,1),(22,1),(23,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(20,1),(22,1),(23,1),(24,1),(35,1)}
      18:{2,3,5,6}:{(11,1),(21,1),(23,1),(24,1),(36,1)}
      19:{2,3,5}:{(13,1),(16,1),(25,1),(26,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(31,1),(38,1),(39,1)}
      21:{2,3,5}:{(14,1),(15,1),(27,1),(28,1)}
      22:{1,2,6}:{(16,1),(26,1),(29,1)}
      23:{3,6}:{(17,1),(27,1)}
      24:{2,4,6}:{(18,1),(28,1),(30,1),(31,1)}
      25:{2,3,4}:{(19,1),(32,1),(34,1)}
      26:{1,2,5}:{(19,1),(22,1),(32,1),(33,1)}
      27:{3,5}:{(20,1),(23,1),(34,1)}
      28:{2,4}:{(21,1),(34,1)}
      29:{1,3,6}:{(22,1),(23,1),(33,1),(35,1)}
      30:{3,4,6}:{(23,1),(24,1),(34,1),(35,1),(36,1)}
      31:{2,4,5}:{(24,1),(36,1)}
      32:{1,2,4}:{(25,1),(26,1),(37,1),(38,1)}
      33:{1,3,5}:{(26,1),(27,1),(29,1),(37,1),(38,1),(39,1)}
      34:{3,4}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(29,1),(30,1),(38,1),(39,1)}
      36:{3,5}:{(30,1),(31,1),(39,1)}
      37:{1,3}:{(32,1)}
      38:{1,4}:{(33,1),(34,1)}
      39:{1,5}:{(35,1),(36,1)}

302 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1),(42,1),(49,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(38,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(6,1),(14,1),(35,1),(39,1)}
       3:{3,4,5,6}:{(8,1),(9,1),(26,1),(63,1)}
       4:{2,3,5,6}:{(1,1),(9,1),(10,1),(26,1),(42,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(27,1)}
       6:{1,3,5}:{(2,1),(11,1),(12,1)}
       7:{1,2,3,5}:{(6,1),(13,1),(14,1),(32,1),(35,1)}
       8:{1,4,5,6}:{(3,1),(15,1),(72,1)}
       9:{2,4,5,6}:{(3,1),(4,1),(52,1)}
      10:{1,2,5,6}:{(4,1),(5,1),(17,1),(35,1)}
      11:{1,3,6}:{(5,1),(6,1)}
      12:{1,3,4}:{(6,1),(14,1)}
      13:{1,2,3,6}:{(7,1),(11,1),(23,1),(43,1)}
      14:{1,2,4}:{(7,1),(12,1),(20,1)}
      15:{1,3,5,6}:{(8,1),(21,1),(25,1),(26,1),(67,1)}
      16:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(25,1),(26,1),(27,1),(46,1),(48,1)}
      17:{1,3,5,6}:{(10,1),(11,1),(26,1),(27,1),(28,1)}
      18:{1,3,4,6}:{(11,1),(12,1),(23,1),(27,1),(28,1),(45,1)}
      19:{1,3,4,5}:{(12,1),(24,1),(28,1),(29,1),(63,1)}
      20:{2,3,4}:{(14,1),(32,1)}
      21:{1,3,4,6}:{(15,1),(30,1),(33,1),(38,1)}
      22:{1,2,3,5,6}:{(13,1),(17,1),(34,1),(35,1),(37,1),(53,1),(54,1),(57,1),(74,1),(76,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(18,1),(31,1),(35,1)}
      24:{1,2,4,5}:{(14,1),(19,1),(32,1),(35,1),(36,1),(52,1)}
      25:{1,2,5,6}:{(15,1),(33,1),(37,1),(74,1)}
      26:{3,5,6}:{(16,1),(38,1),(57,1)}
      27:{1,4,6}:{(17,1),(38,1),(39,1)}
      28:{1,3,5}:{(18,1),(35,1),(39,1),(57,1)}
      29:{1,3,4,6}:{(19,1),(36,1),(40,1),(73,1)}
      30:{1,3,4,5}:{(21,1),(41,1),(49,1),(67,1),(77,1)}
      31:{2,3,4,6}:{(20,1),(23,1),(42,1),(43,1),(45,1),(64,1)}
      32:{2,3,5}:{(20,1),(24,1),(43,1)}
      33:{1,2,4,6}:{(21,1),(25,1),(41,1),(44,1),(48,1)}
      34:{1,2,4,6}:{(22,1),(27,1),(45,1),(46,1),(48,1),(64,1),(80,1)}
      35:{1,2,5}:{(23,1),(28,1),(42,1)}
      36:{1,2,4,6}:{(24,1),(29,1),(43,1),(47,1),(64,1)}
      37:{2,3,5,6}:{(25,1),(26,1),(44,1),(48,1),(66,1)}
      38:{3,4,6}:{(26,1),(27,1),(48,1),(49,1)}
      39:{1,4,5}:{(27,1),(28,1),(49,1)}
      40:{1,3,5,6}:{(28,1),(29,1),(47,1),(50,1),(68,1)}
      41:{1,2,4,5}:{(30,1),(33,1),(51,1),(59,1),(70,1),(74,1)}
      42:{2,3,5}:{(31,1),(35,1),(52,1),(57,1)}
      43:{2,3,6}:{(32,1),(36,1)}
      44:{2,3,6}:{(33,1),(51,1)}
      45:{3,4,6}:{(34,1),(57,1)}
      46:{1,2,4,5}:{(34,1),(35,1),(39,1),(52,1),(57,1),(59,1),(72,1),(74,1)}
      47:{1,2,5,6}:{(35,1),(36,1),(40,1),(53,1)}
      48:{2,4,6}:{(37,1),(38,1),(59,1)}
      49:{3,4,5}:{(38,1),(39,1),(57,1),(59,1)}
      50:{1,4,5,6}:{(39,1),(40,1),(60,1)}
      51:{2,3,5}:{(41,1),(44,1),(62,1)}
      52:{2,4,5}:{(42,1),(63,1),(64,1)}
      53:{2,3,5,6}:{(42,1),(43,1),(47,1),(64,1),(68,1)}
      54:{1,2,3,6}:{(44,1),(61,1),(65,1),(84,1)}
      55:{2,3,4,6}:{(44,1),(45,1),(48,1),(62,1),(65,1),(66,1)}
      56:{1,3,4,6}:{(45,1),(65,1),(67,1),(77,1),(80,1),(84,1)}
      57:{3,5}:{(45,1),(46,1)}
      58:{1,2,4,5,6}:{(46,1),(47,1),(50,1),(64,1),(68,1),(69,1),(80,1),(81,1)}
      59:{2,4,5}:{(48,1),(49,1),(66,1)}
      60:{3,4,5,6}:{(49,1),(50,1),(68,1),(69,1)}
      61:{1,2,3,5}:{(51,1),(54,1),(70,1),(74,1),(82,1)}
      62:{2,3,4}:{(51,1),(70,1)}
      63:{3,4,5}:{(52,1),(57,1),(72,1),(73,1)}
      64:{2,4,6}:{(52,1),(53,1),(73,1)}
      65:{1,2,4,6}:{(54,1),(55,1),(56,1),(70,1),(74,1)}
      66:{2,3,5}:{(55,1),(57,1),(59,1),(74,1)}
      67:{1,3,5}:{(56,1),(57,1),(72,1),(74,1)}
      68:{3,5,6}:{(57,1),(58,1),(73,1)}
      69:{2,4,5,6}:{(59,1),(60,1),(75,1)}
      70:{1,2,4}:{(61,1),(62,1),(77,1)}
      71:{2,3,4,5}:{(62,1),(63,1),(66,1),(78,1),(79,1)}
      72:{1,4,5}:{(63,1),(67,1),(80,1)}
      73:{3,4,6}:{(63,1),(64,1),(68,1),(80,1)}
      74:{1,2,5}:{(65,1),(66,1),(67,1)}
      75:{2,3,5,6}:{(66,1),(68,1),(69,1),(79,1),(81,1)}
      76:{1,3,5,6}:{(67,1),(68,1),(80,1),(81,1),(84,1)}
      77:{1,3,4}:{(70,1),(82,1)}
      78:{1,2,4,5}:{(70,1),(71,1),(72,1),(74,1),(82,1),(83,1)}
      79:{2,3,4,6}:{(71,1),(73,1),(75,1),(83,1)}
      80:{1,4,6}:{(72,1),(73,1),(76,1)}
      81:{1,2,5,6}:{(74,1),(75,1),(76,1),(83,1)}
      82:{1,3,5}:{(77,1),(78,1),(84,1)}
      83:{1,2,4,6}:{(78,1),(79,1),(80,1),(81,1),(84,1)}
      84:{1,3,6}:{(82,1),(83,1)}

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

304 :  0:{3,4,5,6}:{(1,1),(2,1),(11,1),(72,1)}
       1:{1,4,5,6}:{(0,1),(3,1),(77,1)}
       2:{2,4,5,6}:{(0,1),(4,1),(79,1)}
       3:{1,3,5,6}:{(1,1),(7,1),(9,1),(11,1),(68,1)}
       4:{2,3,5,6}:{(2,1),(8,1),(10,1),(11,1),(70,1)}
       5:{1,2,4,5,6}:{(1,1),(2,1),(9,1),(10,1),(11,1),(24,1),(25,1),(47,1)}
       6:{2,3,4,5}:{(8,1),(12,1),(26,1),(50,1),(70,1)}
       7:{1,3,4,6}:{(3,1),(13,1),(14,1),(18,1)}
       8:{2,3,4,6}:{(4,1),(6,1),(15,1),(18,1)}
       9:{1,2,5,6}:{(3,1),(14,1),(16,1),(56,1)}
      10:{1,2,5,6}:{(4,1),(15,1),(17,1),(59,1)}
      11:{3,5,6}:{(5,1),(18,1),(61,1)}
      12:{1,2,4,5}:{(6,1),(15,1),(19,1),(36,1),(38,1),(59,1)}
      13:{1,3,4,5}:{(7,1),(20,1),(26,1),(65,1),(68,1)}
      14:{1,2,4,6}:{(7,1),(9,1),(20,1),(21,1),(24,1)}
      15:{1,2,4,6}:{(8,1),(10,1),(12,1),(22,1),(25,1)}
      16:{2,3,5,6}:{(9,1),(11,1),(21,1),(24,1),(43,1)}
      17:{1,3,5,6}:{(10,1),(11,1),(22,1),(25,1),(45,1)}
      18:{3,4,6}:{(11,1),(24,1),(25,1),(26,1)}
      19:{1,3,5}:{(12,1),(22,1),(28,1)}
      20:{1,2,4,5}:{(13,1),(14,1),(29,1),(35,1),(53,1),(56,1)}
      21:{2,3,6}:{(14,1),(29,1)}
      22:{1,3,6}:{(15,1),(19,1)}
      23:{1,2,3,5,6}:{(16,1),(17,1),(30,1),(32,1),(34,1),(56,1),(59,1),(61,1),(78,1),(80,1)}
      24:{2,4,6}:{(16,1),(18,1),(35,1)}
      25:{1,4,6}:{(17,1),(18,1),(36,1)}
      26:{3,4,5}:{(18,1),(35,1),(36,1),(61,1)}
      27:{1,2,3,5}:{(19,1),(32,1),(38,1),(59,1),(63,1)}
      28:{1,3,4}:{(19,1),(38,1)}
      29:{2,3,5}:{(20,1),(21,1),(41,1)}
      30:{1,2,3,6}:{(21,1),(40,1),(42,1),(82,1)}
      31:{2,3,4,6}:{(21,1),(24,1),(41,1),(42,1),(43,1),(46,1)}
      32:{1,2,3,6}:{(22,1),(27,1),(44,1),(74,1)}
      33:{1,3,4,6}:{(22,1),(25,1),(28,1),(44,1),(45,1),(46,1)}
      34:{1,2,4,6}:{(23,1),(24,1),(25,1),(46,1),(47,1),(83,1),(84,1)}
      35:{2,4,5}:{(24,1),(26,1),(43,1)}
      36:{1,4,5}:{(25,1),(26,1),(45,1)}
      37:{3,4,5,6}:{(26,1),(48,1),(49,1),(73,1)}
      38:{1,2,4}:{(27,1),(28,1),(50,1)}
      39:{1,3,4,5}:{(28,1),(45,1),(51,1),(52,1),(72,1)}
      40:{1,2,3,5}:{(29,1),(30,1),(53,1),(56,1),(75,1)}
      41:{2,3,4}:{(29,1),(53,1)}
      42:{1,2,4,6}:{(30,1),(31,1),(53,1),(55,1),(56,1)}
      43:{2,3,5}:{(31,1),(35,1),(56,1),(61,1)}
      44:{1,2,4,6}:{(32,1),(33,1),(38,1),(58,1),(59,1)}
      45:{1,3,5}:{(33,1),(36,1),(59,1),(61,1)}
      46:{3,4,6}:{(34,1),(61,1)}
      47:{1,2,4,5}:{(34,1),(35,1),(36,1),(56,1),(59,1),(61,1),(77,1),(79,1)}
      48:{2,4,5,6}:{(35,1),(37,1),(57,1)}
      49:{1,4,5,6}:{(36,1),(37,1),(60,1)}
      50:{2,3,4}:{(38,1),(63,1)}
      51:{1,2,4,5}:{(38,1),(39,1),(59,1),(63,1),(64,1),(79,1)}
      52:{1,3,4,6}:{(39,1),(60,1),(64,1),(81,1)}
      53:{1,2,4}:{(40,1),(41,1),(65,1)}
      54:{2,3,4,5}:{(41,1),(43,1),(66,1),(67,1),(72,1)}
      55:{1,3,4,6}:{(42,1),(46,1),(65,1),(68,1),(82,1),(83,1)}
      56:{1,2,5}:{(42,1),(43,1),(68,1)}
      57:{2,3,5,6}:{(43,1),(48,1),(67,1),(69,1),(73,1)}
      58:{2,3,4,6}:{(44,1),(46,1),(50,1),(70,1),(74,1),(84,1)}
      59:{1,2,5}:{(44,1),(45,1),(70,1)}
      60:{1,3,5,6}:{(45,1),(49,1),(52,1),(71,1),(73,1)}
      61:{3,5}:{(46,1),(47,1)}
      62:{1,2,4,5,6}:{(47,1),(48,1),(49,1),(69,1),(71,1),(73,1),(83,1),(84,1)}
      63:{2,3,5}:{(50,1),(51,1),(74,1)}
      64:{1,2,4,6}:{(51,1),(52,1),(71,1),(74,1),(84,1)}
      65:{1,3,4}:{(53,1),(75,1)}
      66:{1,2,4,5}:{(53,1),(54,1),(56,1),(75,1),(76,1),(77,1)}
      67:{2,3,4,6}:{(54,1),(57,1),(76,1),(81,1)}
      68:{1,3,5}:{(55,1),(56,1),(61,1),(77,1)}
      69:{1,2,5,6}:{(56,1),(57,1),(76,1),(78,1)}
      70:{2,3,5}:{(58,1),(59,1),(61,1),(79,1)}
      71:{1,2,5,6}:{(59,1),(60,1),(64,1),(80,1)}
      72:{3,4,5}:{(61,1),(77,1),(79,1),(81,1)}
      73:{3,5,6}:{(61,1),(62,1),(81,1)}
      74:{2,3,6}:{(63,1),(64,1)}
      75:{1,3,5}:{(65,1),(66,1),(82,1)}
      76:{1,2,4,6}:{(66,1),(67,1),(69,1),(82,1),(83,1)}
      77:{1,4,5}:{(68,1),(72,1),(83,1)}
      78:{1,3,5,6}:{(68,1),(69,1),(73,1),(82,1),(83,1)}
      79:{2,4,5}:{(70,1),(72,1),(84,1)}
      80:{2,3,5,6}:{(70,1),(71,1),(73,1),(74,1),(84,1)}
      81:{3,4,6}:{(72,1),(73,1),(83,1),(84,1)}
      82:{1,3,6}:{(75,1),(76,1)}
      83:{1,4,6}:{(77,1),(78,1),(81,1)}
      84:{2,4,6}:{(79,1),(80,1),(81,1)}

305 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(21,1),(23,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(16,1)}
       2:{1,3,5}:{(0,1),(5,1),(6,1),(17,1),(38,1)}
       3:{1,3,5,6}:{(2,1),(7,1),(8,1),(19,1),(21,1)}
       4:{2,3,6}:{(1,1),(9,1),(21,1)}
       5:{1,2,5}:{(1,1),(2,1),(9,1)}
       6:{1,4,5}:{(2,1),(8,1),(11,1)}
       7:{1,2,5,6}:{(3,1),(5,1),(13,1),(14,1),(26,1),(38,1)}
       8:{1,4,6}:{(3,1),(6,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(16,1),(17,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(14,1),(16,1),(17,1),(18,1),(27,1),(31,1),(33,1),(38,1)}
      11:{3,4,5}:{(6,1),(15,1),(17,1),(18,1)}
      12:{1,4,5,6}:{(8,1),(19,1)}
      13:{2,3,5,6}:{(7,1),(9,1),(20,1),(21,1),(34,1)}
      14:{1,2,4,6}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1),(35,1),(36,1)}
      15:{3,4,6}:{(8,1),(11,1),(19,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(23,1)}
      17:{3,5}:{(10,1),(21,1),(23,1)}
      18:{2,4,5}:{(11,1),(22,1),(25,1)}
      19:{3,5,6}:{(12,1),(15,1),(26,1)}
      20:{2,4,6}:{(13,1),(16,1),(27,1),(28,1)}
      21:{3,6}:{(14,1),(17,1)}
      22:{2,4,6}:{(15,1),(18,1),(26,1),(30,1)}
      23:{3,4}:{(16,1),(17,1),(31,1)}
      24:{1,3,5}:{(17,1),(29,1),(31,1),(33,1),(38,1),(39,1)}
      25:{2,3,5}:{(17,1),(18,1),(30,1),(32,1),(33,1)}
      26:{2,5,6}:{(19,1),(22,1)}
      27:{2,4,5}:{(20,1),(34,1)}
      28:{3,4,6}:{(20,1),(21,1),(23,1),(34,1),(35,1)}
      29:{1,3,6}:{(21,1),(24,1),(35,1),(36,1)}
      30:{2,3,6}:{(21,1),(22,1),(25,1),(36,1)}
      31:{1,4}:{(23,1),(24,1)}
      32:{2,3,4}:{(23,1),(25,1),(37,1)}
      33:{1,2,5}:{(24,1),(25,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(28,1),(29,1),(31,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(37,1)}

306 :  0:{1,3,4}:{(2,1),(3,1),(33,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(26,1),(44,1)}
       2:{1,3,5}:{(0,1),(7,1),(9,1),(10,1),(26,1)}
       3:{1,2,4}:{(0,1),(10,1),(11,1),(28,1)}
       4:{2,3,4}:{(12,1),(13,1),(33,1)}
       5:{4,5,6}:{(14,1),(41,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(32,1),(41,1)}
       7:{1,4,5}:{(1,1),(2,1),(15,1)}
       8:{2,4,5}:{(1,1),(12,1),(16,1)}
       9:{1,3,6}:{(2,1),(15,1),(18,1),(32,1)}
      10:{1,2,5}:{(2,1),(3,1),(18,1),(19,1)}
      11:{2,3}:{(3,1)}
      12:{2,3,5}:{(4,1),(8,1),(20,1),(21,1),(26,1)}
      13:{1,2,4}:{(4,1),(21,1),(22,1),(36,1)}
      14:{3,5,6}:{(5,1),(6,1),(23,1),(24,1)}
      15:{1,4,6}:{(6,1),(7,1),(9,1),(23,1)}
      16:{2,4,6}:{(6,1),(8,1),(20,1),(24,1)}
      17:{1,2,4,5}:{(7,1),(8,1),(10,1),(21,1),(25,1),(26,1),(28,1),(36,1),(39,1),(43,1),(44,1)}
      18:{1,2,6}:{(9,1),(10,1),(27,1)}
      19:{2,3,5}:{(10,1),(11,1),(26,1),(27,1),(28,1),(39,1)}
      20:{2,3,6}:{(12,1),(16,1),(29,1),(32,1)}
      21:{1,2,5}:{(12,1),(13,1),(29,1),(30,1)}
      22:{1,3}:{(13,1)}
      23:{1,5,6}:{(14,1),(15,1)}
      24:{2,5,6}:{(14,1),(16,1)}
      25:{1,2,4,6}:{(15,1),(16,1),(17,1),(18,1),(29,1),(31,1),(32,1),(34,1),(40,1),(41,1)}
      26:{3,5}:{(17,1),(32,1),(33,1)}
      27:{2,3,6}:{(18,1),(19,1),(32,1),(34,1)}
      28:{2,4}:{(19,1),(33,1)}
      29:{1,2,6}:{(20,1),(21,1),(35,1)}
      30:{1,3,5}:{(21,1),(22,1),(26,1),(35,1),(36,1),(43,1)}
      31:{1,2,5,6}:{(23,1),(24,1),(25,1),(37,1),(39,1),(43,1)}
      32:{3,6}:{(25,1),(26,1)}
      33:{3,4}:{(26,1),(28,1),(36,1)}
      34:{2,4,6}:{(27,1),(28,1),(38,1),(39,1)}
      35:{1,3,6}:{(29,1),(30,1),(32,1),(40,1)}
      36:{1,4}:{(30,1),(33,1)}
      37:{3,5,6}:{(31,1),(32,1),(41,1),(42,1)}
      38:{3,4,6}:{(32,1),(33,1),(34,1),(40,1),(41,1),(42,1)}
      39:{2,5}:{(34,1),(42,1)}
      40:{1,4,6}:{(35,1),(36,1),(38,1),(43,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{1,5}:{(40,1),(42,1)}
      44:{4,5}:{(41,1),(42,1)}

307 :  0:{1,2,3}:{(4,1)}
       1:{1,3,4}:{(4,1),(5,1),(18,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(8,1),(9,1),(14,1),(27,1),(29,1),(32,1)}
       3:{3,4,5}:{(10,1),(11,1),(12,1),(29,1),(49,1)}
       4:{1,2,4}:{(0,1),(1,1),(13,1),(14,1)}
       5:{1,3,5}:{(1,1),(11,1),(14,1),(15,1),(29,1)}
       6:{1,2,3}:{(16,1)}
       7:{2,3,4}:{(16,1),(17,1),(18,1)}
       8:{1,2,4}:{(2,1),(18,1)}
       9:{1,2,3,6}:{(2,1),(20,1),(25,1),(39,1),(41,1)}
      10:{2,4,5}:{(3,1),(17,1),(21,1)}
      11:{1,4,5}:{(3,1),(5,1),(22,1)}
      12:{3,4,6}:{(3,1),(21,1),(22,1),(23,1),(41,1),(53,1)}
      13:{2,3,4}:{(4,1),(18,1),(24,1)}
      14:{1,2,5}:{(4,1),(5,1),(24,1),(25,1)}
      15:{1,3,6}:{(5,1),(22,1),(25,1),(41,1)}
      16:{1,2,4}:{(6,1),(7,1),(26,1),(27,1)}
      17:{2,3,5}:{(7,1),(10,1),(27,1),(28,1),(29,1)}
      18:{3,4}:{(8,1),(29,1)}
      19:{1,2,4,5}:{(8,1),(10,1),(11,1),(14,1),(27,1),(29,1),(31,1),(32,1),(36,1),(45,1),(49,1)}
      20:{1,2,4,6}:{(8,1),(9,1),(30,1),(32,1)}
      21:{2,4,6}:{(10,1),(12,1),(28,1),(33,1)}
      22:{1,4,6}:{(11,1),(12,1),(15,1),(34,1)}
      23:{3,5,6}:{(12,1),(33,1),(34,1),(35,1)}
      24:{2,3,5}:{(13,1),(14,1),(29,1),(36,1),(37,1)}
      25:{1,2,6}:{(14,1),(15,1),(37,1)}
      26:{1,3,4}:{(16,1),(18,1),(38,1)}
      27:{1,2,5}:{(16,1),(17,1),(38,1),(39,1)}
      28:{2,3,6}:{(17,1),(21,1),(39,1),(41,1)}
      29:{3,5}:{(18,1),(19,1),(41,1)}
      30:{3,4,6}:{(18,1),(20,1),(41,1),(42,1),(53,1)}
      31:{1,2,4,6}:{(19,1),(21,1),(22,1),(25,1),(39,1),(41,1),(43,1),(44,1),(51,1),(53,1)}
      32:{1,2,5}:{(20,1),(42,1)}
      33:{2,5,6}:{(21,1),(23,1)}
      34:{1,5,6}:{(22,1),(23,1)}
      35:{4,5,6}:{(23,1),(53,1)}
      36:{2,4,5}:{(24,1),(40,1),(44,1)}
      37:{2,3,6}:{(24,1),(25,1),(41,1),(44,1)}
      38:{1,3,5}:{(26,1),(27,1),(29,1),(45,1),(46,1)}
      39:{1,2,6}:{(27,1),(28,1),(46,1)}
      40:{3,4,5}:{(29,1),(36,1),(45,1),(47,1),(49,1)}
      41:{3,6}:{(29,1),(31,1)}
      42:{3,5}:{(30,1),(32,1),(49,1)}
      43:{1,2,5,6}:{(31,1),(32,1),(33,1),(34,1),(48,1),(50,1),(54,1)}
      44:{2,4,6}:{(36,1),(37,1),(47,1),(50,1)}
      45:{1,4,5}:{(38,1),(40,1),(51,1)}
      46:{1,3,6}:{(38,1),(39,1),(41,1),(51,1)}
      47:{3,4,6}:{(40,1),(41,1),(44,1),(51,1),(52,1),(53,1)}
      48:{3,5,6}:{(41,1),(42,1),(43,1),(53,1)}
      49:{4,5}:{(42,1),(53,1)}
      50:{2,5,6}:{(44,1),(52,1)}
      51:{1,4,6}:{(45,1),(46,1),(47,1),(54,1)}
      52:{3,5,6}:{(47,1),(50,1),(54,1),(55,1)}
      53:{4,6}:{(48,1),(49,1)}
      54:{1,5,6}:{(51,1),(52,1)}
      55:{4,5,6}:{(52,1),(53,1)}

308 :  0:{1,2,5,6}:{(2,1),(3,1),(22,1),(23,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(10,1),(12,1),(13,1),(16,1),(22,1),(23,1)}
       2:{3,5,6}:{(0,1),(5,1),(7,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(7,1),(18,1),(19,1),(21,1)}
       4:{3,5}:{(1,1),(6,1),(7,1)}
       5:{4,6}:{(2,1),(10,1)}
       6:{3,4}:{(4,1),(12,1),(13,1),(25,1)}
       7:{3,6}:{(3,1),(4,1)}
       8:{1,3,5}:{(4,1),(12,1),(14,1),(16,1),(22,1),(25,1),(28,1)}
       9:{2,3,5}:{(4,1),(13,1),(15,1),(16,1),(23,1),(25,1),(28,1)}
      10:{4,5}:{(5,1),(17,1),(29,1)}
      11:{3,4,6}:{(5,1),(6,1),(7,1),(17,1),(18,1),(19,1),(27,1),(29,1)}
      12:{1,4}:{(6,1),(8,1),(29,1)}
      13:{2,4}:{(6,1),(9,1),(29,1)}
      14:{1,3,6}:{(7,1),(8,1),(18,1),(21,1),(27,1)}
      15:{2,3,6}:{(7,1),(9,1),(19,1),(21,1),(27,1)}
      16:{1,2,5}:{(8,1),(9,1),(20,1),(21,1)}
      17:{3,5}:{(10,1),(11,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1),(22,1)}
      19:{2,4,6}:{(11,1),(13,1),(15,1),(23,1)}
      20:{1,2,4}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,2,6}:{(14,1),(15,1),(16,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,5}:{(17,1),(19,1)}
      24:{1,2,4,6}:{(18,1),(19,1),(20,1),(21,1),(26,1),(27,1),(29,1)}
      25:{3}:{(20,1)}
      26:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      27:{3,6}:{(24,1),(25,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

309 :  0:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(15,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(16,1),(17,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(20,1),(21,1),(22,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,5,6}:{(4,1),(5,1),(13,1)}
       9:{3,4,5}:{(5,1),(13,1),(16,1),(17,1),(26,1)}
      10:{1,3,5}:{(5,1),(6,1),(16,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(17,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,3,5,6}:{(8,1),(10,1),(20,1),(22,1),(28,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(28,1)}
      16:{1,4,5}:{(9,1),(10,1),(20,1)}
      17:{2,4,5}:{(9,1),(11,1),(21,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(18,1),(25,1)}
      23:{1,2,4,5}:{(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(23,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

310 :  0:{1,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(5,1),(6,1),(18,1)}
       2:{1,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1)}
       3:{1,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(22,1)}
       4:{1,4,5,6}:{(9,1),(10,1)}
       5:{2,3,6}:{(1,1),(11,1),(22,1)}
       6:{1,2,5}:{(1,1),(2,1),(11,1)}
       7:{1,4,5}:{(2,1),(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(6,1),(14,1),(15,1),(17,1),(38,1)}
       9:{1,4,6}:{(3,1),(7,1),(16,1)}
      10:{3,5,6}:{(4,1),(16,1),(17,1)}
      11:{2,3,5}:{(5,1),(6,1),(18,1),(19,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(15,1),(18,1),(19,1),(20,1),(27,1),(31,1),(33,1),(38,1)}
      13:{3,4,5}:{(7,1),(16,1),(19,1),(20,1)}
      14:{2,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(12,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(10,1),(13,1),(22,1),(23,1)}
      17:{2,5,6}:{(10,1),(23,1)}
      18:{2,4}:{(11,1),(24,1)}
      19:{3,5}:{(12,1),(22,1),(24,1)}
      20:{2,4,5}:{(13,1),(23,1),(26,1)}
      21:{2,4,6}:{(14,1),(18,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(19,1)}
      23:{2,4,6}:{(16,1),(17,1),(20,1),(30,1)}
      24:{3,4}:{(18,1),(19,1),(31,1)}
      25:{1,3,5}:{(19,1),(29,1),(31,1),(33,1),(38,1),(39,1)}
      26:{2,3,5}:{(19,1),(20,1),(30,1),(32,1),(33,1)}
      27:{2,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(25,1),(35,1),(36,1)}
      30:{2,3,6}:{(22,1),(23,1),(26,1),(36,1)}
      31:{1,4}:{(24,1),(25,1)}
      32:{2,3,4}:{(24,1),(26,1),(37,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(28,1),(29,1),(31,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(37,1)}

311 :  0:{2,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(5,1),(6,1),(18,1)}
       2:{2,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1)}
       3:{2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(22,1)}
       4:{2,4,5,6}:{(9,1),(10,1)}
       5:{1,3,6}:{(1,1),(11,1),(22,1)}
       6:{1,2,5}:{(1,1),(2,1),(11,1)}
       7:{2,4,5}:{(2,1),(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(6,1),(14,1),(15,1),(17,1),(38,1)}
       9:{2,4,6}:{(3,1),(7,1),(16,1)}
      10:{3,5,6}:{(4,1),(16,1),(17,1)}
      11:{1,3,5}:{(5,1),(6,1),(18,1),(19,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(15,1),(18,1),(19,1),(20,1),(27,1),(32,1),(33,1),(38,1)}
      13:{3,4,5}:{(7,1),(16,1),(19,1),(20,1)}
      14:{1,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(12,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(10,1),(13,1),(22,1),(23,1)}
      17:{1,5,6}:{(10,1),(23,1)}
      18:{1,4}:{(11,1),(24,1)}
      19:{3,5}:{(12,1),(22,1),(24,1)}
      20:{1,4,5}:{(13,1),(23,1),(25,1)}
      21:{1,4,6}:{(14,1),(18,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(19,1)}
      23:{1,4,6}:{(16,1),(17,1),(20,1),(29,1)}
      24:{3,4}:{(18,1),(19,1),(32,1)}
      25:{1,3,5}:{(19,1),(20,1),(29,1),(31,1),(33,1)}
      26:{2,3,5}:{(19,1),(30,1),(32,1),(33,1),(38,1),(39,1)}
      27:{1,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(23,1),(25,1),(36,1)}
      30:{2,3,6}:{(22,1),(26,1),(35,1),(36,1)}
      31:{1,3,4}:{(24,1),(25,1),(37,1)}
      32:{2,4}:{(24,1),(26,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(28,1),(30,1),(32,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,5}:{(34,1),(35,1)}
      39:{2,3}:{(37,1)}

312 :  0:{1,2,3,5}:{(1,1),(2,1),(6,1),(10,1),(11,1),(26,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(19,1),(37,1)}
       2:{1,2,4}:{(0,1),(3,1)}
       3:{3,4}:{(2,1),(10,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(9,1),(11,1)}
       5:{1,2,4,5}:{(2,1),(10,1),(11,1),(12,1),(23,1),(24,1),(26,1),(29,1)}
       6:{1,2,3}:{(15,1)}
       7:{2,3,4}:{(3,1),(15,1),(16,1),(31,1)}
       8:{1,3,4}:{(3,1),(15,1),(17,1),(31,1)}
       9:{3,4,6}:{(3,1),(4,1),(18,1),(19,1),(38,1)}
      10:{3,5}:{(3,1),(5,1),(19,1)}
      11:{1,2,5}:{(4,1),(18,1)}
      12:{1,2,4,6}:{(5,1),(19,1),(20,1),(34,1),(35,1),(37,1),(38,1)}
      13:{1,2,3,5}:{(6,1),(21,1),(22,1),(26,1),(40,1),(41,1)}
      14:{3,4,5}:{(10,1),(23,1),(24,1),(25,1),(29,1),(40,1),(49,1)}
      15:{1,2,4}:{(6,1),(7,1),(8,1),(26,1)}
      16:{2,3,5}:{(7,1),(10,1),(23,1),(26,1),(27,1),(40,1)}
      17:{1,3,5}:{(8,1),(10,1),(24,1),(26,1),(28,1),(40,1)}
      18:{3,5}:{(9,1),(11,1),(29,1)}
      19:{3,6}:{(10,1),(12,1)}
      20:{1,2,5,6}:{(11,1),(12,1),(30,1),(43,1),(44,1)}
      21:{1,2,3,6}:{(13,1),(32,1),(37,1),(47,1)}
      22:{1,2,4}:{(13,1),(31,1)}
      23:{2,4,5}:{(14,1),(16,1),(34,1)}
      24:{1,4,5}:{(14,1),(17,1),(35,1)}
      25:{3,4,6}:{(14,1),(19,1),(34,1),(35,1),(36,1),(38,1),(47,1),(51,1)}
      26:{1,2,5}:{(15,1),(16,1),(17,1),(37,1)}
      27:{2,3,6}:{(16,1),(19,1),(34,1),(37,1),(47,1)}
      28:{1,3,6}:{(17,1),(19,1),(35,1),(37,1),(47,1)}
      29:{4,5}:{(18,1),(38,1)}
      30:{3,5,6}:{(18,1),(19,1),(20,1),(38,1)}
      31:{3,4}:{(22,1),(40,1)}
      32:{1,2,4,6}:{(21,1),(22,1),(39,1),(41,1)}
      33:{1,2,4,5}:{(22,1),(23,1),(24,1),(26,1),(40,1),(41,1),(42,1),(49,1)}
      34:{2,4,6}:{(23,1),(25,1),(27,1),(43,1)}
      35:{1,4,6}:{(24,1),(25,1),(28,1),(44,1)}
      36:{3,5,6}:{(25,1),(43,1),(44,1),(45,1)}
      37:{1,2,6}:{(26,1),(27,1),(28,1)}
      38:{4,6}:{(29,1),(30,1)}
      39:{3,4,6}:{(31,1),(32,1),(46,1),(47,1),(51,1)}
      40:{3,5}:{(31,1),(33,1),(47,1)}
      41:{1,2,5}:{(32,1),(46,1)}
      42:{1,2,4,6}:{(33,1),(34,1),(35,1),(37,1),(47,1),(48,1),(51,1)}
      43:{2,5,6}:{(34,1),(36,1)}
      44:{1,5,6}:{(35,1),(36,1)}
      45:{4,5,6}:{(36,1),(38,1),(51,1)}
      46:{3,5}:{(39,1),(41,1),(49,1)}
      47:{3,6}:{(40,1),(42,1)}
      48:{1,2,5,6}:{(41,1),(42,1),(43,1),(44,1),(50,1)}
      49:{4,5}:{(46,1),(51,1)}
      50:{3,5,6}:{(46,1),(47,1),(48,1),(51,1)}
      51:{4,6}:{(49,1),(50,1)}

313 :  0:{1,2,3,6}:{(1,1),(2,1),(23,1),(39,1)}
       1:{1,2,3,5}:{(0,1),(4,1),(5,1),(12,1),(15,1),(30,1)}
       2:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1)}
       3:{3,4,6}:{(2,1),(6,1),(7,1),(19,1),(23,1)}
       4:{1,2,4}:{(1,1),(7,1)}
       5:{1,2,5}:{(2,1),(6,1)}
       6:{3,5}:{(3,1),(5,1),(10,1)}
       7:{3,4}:{(4,1),(15,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(10,1),(15,1),(16,1),(27,1),(28,1),(30,1)}
       9:{1,2,5,6}:{(5,1),(11,1),(16,1),(42,1),(43,1)}
      10:{4,5}:{(6,1),(19,1)}
      11:{3,5,6}:{(6,1),(9,1),(19,1),(23,1)}
      12:{1,2,3}:{(20,1)}
      13:{2,3,4}:{(7,1),(20,1),(21,1),(35,1)}
      14:{1,3,4}:{(7,1),(20,1),(22,1),(35,1)}
      15:{3,5}:{(7,1),(8,1),(23,1)}
      16:{1,2,4,6}:{(8,1),(9,1),(19,1),(23,1),(37,1),(38,1),(39,1)}
      17:{1,2,3,5}:{(12,1),(24,1),(26,1),(30,1),(41,1),(44,1)}
      18:{3,4,5}:{(10,1),(15,1),(27,1),(28,1),(29,1),(44,1),(49,1)}
      19:{4,6}:{(10,1),(11,1)}
      20:{1,2,4}:{(12,1),(13,1),(14,1),(30,1)}
      21:{2,3,5}:{(13,1),(15,1),(27,1),(30,1),(31,1),(44,1)}
      22:{1,3,5}:{(14,1),(15,1),(28,1),(30,1),(32,1),(44,1)}
      23:{3,6}:{(15,1),(16,1)}
      24:{1,2,3,6}:{(17,1),(33,1),(39,1),(48,1)}
      25:{4,5,6}:{(19,1),(34,1),(51,1)}
      26:{1,2,4}:{(17,1),(35,1)}
      27:{2,4,5}:{(18,1),(21,1),(37,1)}
      28:{1,4,5}:{(18,1),(22,1),(38,1)}
      29:{3,4,6}:{(18,1),(19,1),(23,1),(34,1),(37,1),(38,1),(48,1),(51,1)}
      30:{1,2,5}:{(20,1),(21,1),(22,1),(39,1)}
      31:{2,3,6}:{(21,1),(23,1),(37,1),(39,1),(48,1)}
      32:{1,3,6}:{(22,1),(23,1),(38,1),(39,1),(48,1)}
      33:{1,2,4,6}:{(24,1),(26,1),(40,1),(41,1)}
      34:{3,5,6}:{(25,1),(29,1),(42,1),(43,1)}
      35:{3,4}:{(26,1),(44,1)}
      36:{1,2,4,5}:{(26,1),(27,1),(28,1),(30,1),(41,1),(44,1),(45,1),(49,1)}
      37:{2,4,6}:{(27,1),(29,1),(31,1),(42,1)}
      38:{1,4,6}:{(28,1),(29,1),(32,1),(43,1)}
      39:{1,2,6}:{(30,1),(31,1),(32,1)}
      40:{3,4,6}:{(33,1),(35,1),(46,1),(48,1),(51,1)}
      41:{1,2,5}:{(33,1),(46,1)}
      42:{2,5,6}:{(34,1),(37,1)}
      43:{1,5,6}:{(34,1),(38,1)}
      44:{3,5}:{(35,1),(36,1),(48,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(38,1),(39,1),(47,1),(48,1),(51,1)}
      46:{3,5}:{(40,1),(41,1),(49,1)}
      47:{1,2,5,6}:{(41,1),(42,1),(43,1),(45,1),(50,1)}
      48:{3,6}:{(44,1),(45,1)}
      49:{4,5}:{(46,1),(51,1)}
      50:{3,5,6}:{(46,1),(47,1),(48,1),(51,1)}
      51:{4,6}:{(49,1),(50,1)}

314 :  0:{3,4,5}:{(4,1),(5,1),(6,1),(24,1),(44,1)}
       1:{2,3,4}:{(7,1),(8,1),(31,1)}
       2:{1,3,4}:{(9,1),(10,1),(31,1)}
       3:{4,5,6}:{(11,1),(40,1)}
       4:{3,4,6}:{(0,1),(11,1),(12,1),(13,1),(30,1),(40,1)}
       5:{1,4,5}:{(0,1),(9,1),(12,1)}
       6:{2,4,5}:{(0,1),(7,1),(13,1)}
       7:{2,3,5}:{(1,1),(6,1),(15,1),(16,1),(24,1)}
       8:{1,2,4}:{(1,1),(16,1),(17,1),(33,1)}
       9:{1,3,5}:{(2,1),(5,1),(18,1),(19,1),(24,1)}
      10:{1,2,4}:{(2,1),(19,1),(20,1),(35,1)}
      11:{3,5,6}:{(3,1),(4,1),(21,1),(22,1)}
      12:{1,4,6}:{(4,1),(5,1),(18,1),(21,1)}
      13:{2,4,6}:{(4,1),(6,1),(15,1),(22,1)}
      14:{1,2,4,5}:{(5,1),(6,1),(16,1),(19,1),(23,1),(24,1),(33,1),(35,1),(42,1),(43,1),(44,1)}
      15:{2,3,6}:{(7,1),(13,1),(25,1),(30,1)}
      16:{1,2,5}:{(7,1),(8,1),(25,1),(26,1)}
      17:{1,3}:{(8,1)}
      18:{1,3,6}:{(9,1),(12,1),(27,1),(30,1)}
      19:{1,2,5}:{(9,1),(10,1),(27,1),(28,1)}
      20:{2,3}:{(10,1)}
      21:{1,5,6}:{(11,1),(12,1)}
      22:{2,5,6}:{(11,1),(13,1)}
      23:{1,2,4,6}:{(12,1),(13,1),(14,1),(25,1),(27,1),(29,1),(30,1),(38,1),(39,1),(40,1)}
      24:{3,5}:{(14,1),(30,1),(31,1)}
      25:{1,2,6}:{(15,1),(16,1),(32,1)}
      26:{1,3,5}:{(16,1),(17,1),(24,1),(32,1),(33,1),(42,1)}
      27:{1,2,6}:{(18,1),(19,1),(34,1)}
      28:{2,3,5}:{(19,1),(20,1),(24,1),(34,1),(35,1),(43,1)}
      29:{1,2,5,6}:{(21,1),(22,1),(23,1),(36,1),(42,1),(43,1)}
      30:{3,6}:{(23,1),(24,1)}
      31:{3,4}:{(24,1),(33,1),(35,1)}
      32:{1,3,6}:{(25,1),(26,1),(30,1),(38,1)}
      33:{1,4}:{(26,1),(31,1)}
      34:{2,3,6}:{(27,1),(28,1),(30,1),(39,1)}
      35:{2,4}:{(28,1),(31,1)}
      36:{3,5,6}:{(29,1),(30,1),(40,1),(41,1)}
      37:{3,4,6}:{(30,1),(31,1),(38,1),(39,1),(40,1),(41,1)}
      38:{1,4,6}:{(32,1),(33,1),(37,1),(42,1)}
      39:{2,4,6}:{(34,1),(35,1),(37,1),(43,1)}
      40:{4,6}:{(36,1),(44,1)}
      41:{3,5}:{(37,1),(42,1),(43,1),(44,1)}
      42:{1,5}:{(38,1),(41,1)}
      43:{2,5}:{(39,1),(41,1)}
      44:{4,5}:{(40,1),(41,1)}

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

316 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(13,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(12,1),(13,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(7,1),(17,1),(18,1),(27,1)}
       3:{1,4,6}:{(0,1),(5,1),(8,1),(25,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(26,1)}
       5:{1,4,5}:{(3,1),(11,1)}
       6:{2,4,5}:{(4,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(13,1),(14,1),(15,1),(24,1),(28,1)}
       8:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(21,1)}
       9:{3,4,6}:{(4,1),(12,1),(13,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(7,1),(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      11:{3,5}:{(5,1),(8,1),(17,1)}
      12:{3,5}:{(6,1),(9,1),(18,1)}
      13:{3,6}:{(7,1),(16,1),(29,1)}
      14:{2,4,6}:{(8,1),(17,1),(20,1),(26,1)}
      15:{1,4,6}:{(9,1),(18,1),(19,1),(25,1)}
      16:{3,5}:{(10,1),(13,1),(21,1)}
      17:{2,5}:{(11,1),(14,1)}
      18:{1,5}:{(12,1),(15,1)}
      19:{1,3,6}:{(13,1),(15,1),(22,1),(24,1)}
      20:{2,3,6}:{(13,1),(14,1),(23,1),(24,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(18,1),(19,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(17,1),(20,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(19,1),(20,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

317 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(18,1)}
       1:{3,5,6}:{(0,1),(2,1),(24,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(16,1),(19,1),(25,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(14,1),(19,1),(26,1)}
       5:{3,4,5}:{(2,1),(11,1),(12,1),(24,1)}
       6:{1,4,6}:{(2,1),(3,1),(11,1),(28,1)}
       7:{2,4,6}:{(2,1),(4,1),(12,1),(29,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(22,1)}
       9:{2,3,4,6}:{(7,1),(14,1),(15,1),(19,1),(27,1)}
      10:{1,3,4,6}:{(6,1),(16,1),(17,1),(19,1),(27,1)}
      11:{1,4,5}:{(5,1),(6,1),(16,1)}
      12:{2,4,5}:{(5,1),(7,1),(14,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(18,1),(19,1)}
      14:{2,3,5}:{(9,1),(12,1),(20,1),(24,1)}
      15:{1,2,4,6}:{(9,1),(20,1),(21,1),(28,1)}
      16:{1,3,5}:{(10,1),(11,1),(22,1),(24,1)}
      17:{1,2,4,6}:{(10,1),(22,1),(23,1),(29,1)}
      18:{1,2,4,5}:{(11,1),(12,1),(13,1),(20,1),(22,1),(24,1),(28,1),(29,1)}
      19:{3,6}:{(13,1),(24,1)}
      20:{1,2,5}:{(14,1),(15,1),(25,1)}
      21:{1,3,6}:{(15,1),(19,1),(25,1)}
      22:{1,2,5}:{(16,1),(17,1),(26,1)}
      23:{2,3,6}:{(17,1),(19,1),(26,1)}
      24:{3,5}:{(18,1),(19,1),(27,1)}
      25:{1,3,5}:{(20,1),(21,1),(24,1),(28,1)}
      26:{2,3,5}:{(22,1),(23,1),(24,1),(29,1)}
      27:{3,4}:{(24,1),(28,1),(29,1)}
      28:{1,4}:{(25,1),(27,1)}
      29:{2,4}:{(26,1),(27,1)}

318 :  0:{4,5,6}:{(1,1),(30,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1),(5,1)}
       2:{3,4,5}:{(3,1),(6,1),(7,1),(24,1),(37,1)}
       3:{3,4,6}:{(1,1),(2,1),(10,1),(11,1),(29,1),(30,1)}
       4:{1,5,6}:{(1,1),(10,1)}
       5:{2,5,6}:{(1,1),(11,1)}
       6:{1,4,5}:{(2,1),(10,1),(13,1)}
       7:{2,4,5}:{(2,1),(11,1),(14,1)}
       8:{1,3,4}:{(13,1),(16,1),(33,1)}
       9:{2,3,4}:{(14,1),(17,1),(33,1)}
      10:{1,4,6}:{(3,1),(4,1),(6,1),(18,1)}
      11:{2,4,6}:{(3,1),(5,1),(7,1),(19,1)}
      12:{1,2,5,6}:{(4,1),(5,1),(20,1),(21,1),(43,1),(44,1)}
      13:{1,3,5}:{(6,1),(8,1),(18,1),(22,1),(24,1)}
      14:{2,3,5}:{(7,1),(9,1),(19,1),(23,1),(24,1)}
      15:{1,2,4,5}:{(6,1),(7,1),(20,1),(22,1),(23,1),(24,1),(37,1),(38,1),(39,1),(43,1),(44,1)}
      16:{1,2,4}:{(8,1),(22,1),(25,1),(38,1)}
      17:{1,2,4}:{(9,1),(23,1),(26,1),(39,1)}
      18:{1,3,6}:{(10,1),(13,1),(27,1),(29,1)}
      19:{2,3,6}:{(11,1),(14,1),(28,1),(29,1)}
      20:{1,2,4,6}:{(10,1),(11,1),(12,1),(15,1),(27,1),(28,1),(29,1),(30,1),(40,1),(41,1)}
      21:{3,5,6}:{(12,1),(29,1),(30,1),(42,1)}
      22:{1,2,5}:{(13,1),(16,1),(27,1),(31,1)}
      23:{1,2,5}:{(14,1),(17,1),(28,1),(32,1)}
      24:{3,5}:{(15,1),(29,1),(33,1)}
      25:{2,3}:{(16,1)}
      26:{1,3}:{(17,1)}
      27:{1,2,6}:{(18,1),(22,1),(34,1)}
      28:{1,2,6}:{(19,1),(23,1),(35,1)}
      29:{3,6}:{(20,1),(24,1)}
      30:{4,6}:{(21,1),(37,1)}
      31:{2,3,5}:{(22,1),(24,1),(25,1),(34,1),(38,1),(43,1)}
      32:{1,3,5}:{(23,1),(24,1),(26,1),(35,1),(39,1),(44,1)}
      33:{3,4}:{(24,1),(38,1),(39,1)}
      34:{2,3,6}:{(27,1),(29,1),(31,1),(40,1)}
      35:{1,3,6}:{(28,1),(29,1),(32,1),(41,1)}
      36:{3,4,6}:{(29,1),(30,1),(33,1),(40,1),(41,1),(42,1)}
      37:{4,5}:{(30,1),(42,1)}
      38:{2,4}:{(31,1),(33,1)}
      39:{1,4}:{(32,1),(33,1)}
      40:{2,4,6}:{(34,1),(36,1),(38,1),(43,1)}
      41:{1,4,6}:{(35,1),(36,1),(39,1),(44,1)}
      42:{3,5}:{(36,1),(37,1),(43,1),(44,1)}
      43:{2,5}:{(40,1),(42,1)}
      44:{1,5}:{(41,1),(42,1)}

319 :  0:{1,2,3,6}:{(1,1),(2,1),(18,1),(34,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1)}
       2:{1,2,3,5}:{(0,1),(4,1),(5,1),(13,1),(28,1),(29,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(16,1),(18,1)}
       4:{1,2,5}:{(1,1),(6,1)}
       5:{1,2,4}:{(2,1),(9,1)}
       6:{3,5}:{(3,1),(4,1),(11,1)}
       7:{1,2,5,6}:{(4,1),(10,1),(12,1),(36,1),(37,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(11,1),(12,1),(13,1),(24,1),(25,1),(28,1)}
       9:{3,4}:{(5,1),(13,1)}
      10:{3,5,6}:{(6,1),(7,1),(16,1),(18,1)}
      11:{4,5}:{(6,1),(16,1)}
      12:{1,2,4,6}:{(7,1),(8,1),(16,1),(18,1),(31,1),(32,1),(34,1)}
      13:{3,5}:{(8,1),(9,1),(18,1)}
      14:{1,3,4}:{(9,1),(19,1),(21,1),(44,1)}
      15:{2,3,4}:{(9,1),(20,1),(21,1),(44,1)}
      16:{4,6}:{(10,1),(11,1)}
      17:{3,4,5}:{(11,1),(13,1),(23,1),(24,1),(25,1),(39,1),(51,1)}
      18:{3,6}:{(12,1),(13,1)}
      19:{1,3,5}:{(13,1),(14,1),(24,1),(26,1),(28,1),(39,1)}
      20:{2,3,5}:{(13,1),(15,1),(25,1),(27,1),(28,1),(39,1)}
      21:{1,2,4}:{(14,1),(15,1),(28,1),(29,1)}
      22:{4,5,6}:{(16,1),(30,1),(49,1)}
      23:{3,4,6}:{(16,1),(17,1),(18,1),(30,1),(31,1),(32,1),(43,1),(49,1)}
      24:{1,4,5}:{(17,1),(19,1),(31,1)}
      25:{2,4,5}:{(17,1),(20,1),(32,1)}
      26:{1,3,6}:{(18,1),(19,1),(31,1),(34,1),(43,1)}
      27:{2,3,6}:{(18,1),(20,1),(32,1),(34,1),(43,1)}
      28:{1,2,5}:{(19,1),(20,1),(21,1),(34,1)}
      29:{1,2,3}:{(21,1)}
      30:{3,5,6}:{(22,1),(23,1),(36,1),(37,1)}
      31:{1,4,6}:{(23,1),(24,1),(26,1),(36,1)}
      32:{2,4,6}:{(23,1),(25,1),(27,1),(37,1)}
      33:{1,2,4,5}:{(24,1),(25,1),(28,1),(38,1),(39,1),(41,1),(48,1),(51,1)}
      34:{1,2,6}:{(26,1),(27,1),(28,1)}
      35:{1,2,3,5}:{(28,1),(29,1),(39,1),(40,1),(41,1),(48,1)}
      36:{1,5,6}:{(30,1),(31,1)}
      37:{2,5,6}:{(30,1),(32,1)}
      38:{1,2,4,6}:{(31,1),(32,1),(33,1),(34,1),(42,1),(43,1),(49,1)}
      39:{3,5}:{(33,1),(43,1),(44,1)}
      40:{1,2,3,6}:{(34,1),(35,1),(43,1),(45,1)}
      41:{1,2,4}:{(35,1),(44,1)}
      42:{1,2,5,6}:{(36,1),(37,1),(38,1),(46,1),(48,1)}
      43:{3,6}:{(38,1),(39,1)}
      44:{3,4}:{(39,1),(41,1)}
      45:{1,2,4,6}:{(40,1),(41,1),(47,1),(48,1)}
      46:{3,5,6}:{(42,1),(43,1),(49,1),(50,1)}
      47:{3,4,6}:{(43,1),(44,1),(45,1),(49,1),(50,1)}
      48:{1,2,5}:{(45,1),(50,1)}
      49:{4,6}:{(46,1),(51,1)}
      50:{3,5}:{(47,1),(48,1),(51,1)}
      51:{4,5}:{(49,1),(50,1)}

320 : 0:{1,2,3}:{(1,1)}
      1:{1,2,4}:{(0,1),(2,1),(3,1)}
      2:{3,4}:{(1,1),(4,1)}
      3:{1,2,5}:{(1,1),(4,1),(5,1)}
      4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
      5:{1,2,6}:{(3,1),(7,1)}
      6:{4,5}:{(4,1),(8,1)}
      7:{3,6}:{(4,1),(5,1),(8,1)}
      8:{4,6}:{(6,1),(7,1),(9,1)}
      9:{5,6}:{(8,1)}

321 : 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:{3,4,5}:{(2,1),(6,1)}
      5:{1,2,4,6}:{(2,1),(3,1),(6,1),(7,1)}
      6:{3,4,6}:{(4,1),(5,1),(8,1)}
      7:{1,2,5,6}:{(5,1),(8,1)}
      8:{3,5,6}:{(6,1),(7,1),(9,1)}
      9:{4,5,6}:{(8,1)}

322 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(13,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(12,1),(13,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(7,1),(17,1),(18,1),(27,1)}
       3:{1,4,6}:{(0,1),(5,1),(8,1),(25,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(26,1)}
       5:{1,4,5}:{(3,1),(11,1)}
       6:{2,4,5}:{(4,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(13,1),(14,1),(15,1),(24,1),(28,1)}
       8:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(21,1)}
       9:{3,4,6}:{(4,1),(12,1),(13,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(7,1),(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      11:{3,5}:{(5,1),(8,1),(17,1)}
      12:{3,5}:{(6,1),(9,1),(18,1)}
      13:{3,6}:{(7,1),(16,1),(29,1)}
      14:{2,4,6}:{(8,1),(17,1),(20,1),(26,1)}
      15:{1,4,6}:{(9,1),(18,1),(19,1),(25,1)}
      16:{3,5}:{(10,1),(13,1),(21,1)}
      17:{2,5}:{(11,1),(14,1)}
      18:{1,5}:{(12,1),(15,1)}
      19:{1,3,6}:{(13,1),(15,1),(22,1),(24,1)}
      20:{2,3,6}:{(13,1),(14,1),(23,1),(24,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(18,1),(19,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(17,1),(20,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(19,1),(20,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

323 :  0:{1,2,3,6}:{(3,1),(4,1),(30,1),(44,1)}
       1:{2,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(30,1)}
       2:{1,3,4,6}:{(3,1),(6,1),(15,1),(18,1),(30,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       4:{1,2,3,5}:{(0,1),(7,1),(8,1),(21,1),(40,1),(41,1)}
       5:{2,3,5}:{(1,1),(7,1),(10,1),(21,1)}
       6:{1,3,5}:{(2,1),(7,1),(12,1),(21,1)}
       7:{1,2,5}:{(3,1),(5,1),(6,1)}
       8:{1,2,4}:{(4,1),(15,1)}
       9:{2,3,5,6}:{(5,1),(13,1),(16,1),(30,1),(34,1)}
      10:{2,4,5}:{(5,1),(16,1),(17,1)}
      11:{1,3,5,6}:{(6,1),(13,1),(18,1),(30,1),(36,1)}
      12:{1,4,5}:{(6,1),(18,1),(19,1)}
      13:{1,2,5,6}:{(7,1),(9,1),(11,1),(20,1),(42,1),(43,1)}
      14:{1,2,4,5}:{(7,1),(8,1),(10,1),(12,1),(20,1),(21,1),(26,1),(29,1),(40,1)}
      15:{3,4}:{(8,1),(21,1)}
      16:{2,4,6}:{(9,1),(10,1),(25,1)}
      17:{3,4,5}:{(10,1),(21,1),(25,1),(26,1)}
      18:{1,4,6}:{(11,1),(12,1),(28,1)}
      19:{3,4,5}:{(12,1),(21,1),(28,1),(29,1)}
      20:{1,2,4,6}:{(13,1),(14,1),(16,1),(18,1),(30,1),(35,1),(37,1),(44,1)}
      21:{3,5}:{(14,1),(15,1),(30,1)}
      22:{1,3,4}:{(15,1),(31,1),(33,1)}
      23:{2,3,4}:{(15,1),(32,1),(33,1)}
      24:{2,4,5,6}:{(16,1),(34,1)}
      25:{3,4,6}:{(16,1),(17,1),(30,1),(34,1),(35,1)}
      26:{1,4,5}:{(17,1),(31,1),(35,1)}
      27:{1,4,5,6}:{(18,1),(36,1)}
      28:{3,4,6}:{(18,1),(19,1),(30,1),(36,1),(37,1)}
      29:{2,4,5}:{(19,1),(32,1),(37,1)}
      30:{3,6}:{(20,1),(21,1)}
      31:{1,3,5}:{(21,1),(22,1),(26,1),(38,1),(40,1)}
      32:{2,3,5}:{(21,1),(23,1),(29,1),(39,1),(40,1)}
      33:{1,2,4}:{(22,1),(23,1),(40,1),(41,1)}
      34:{3,5,6}:{(24,1),(25,1),(42,1)}
      35:{1,4,6}:{(25,1),(26,1),(38,1),(42,1)}
      36:{3,5,6}:{(27,1),(28,1),(43,1)}
      37:{2,4,6}:{(28,1),(29,1),(39,1),(43,1)}
      38:{1,3,6}:{(30,1),(31,1),(35,1),(44,1)}
      39:{2,3,6}:{(30,1),(32,1),(37,1),(44,1)}
      40:{1,2,5}:{(31,1),(32,1),(33,1),(44,1)}
      41:{1,2,3}:{(33,1)}
      42:{1,5,6}:{(34,1),(35,1)}
      43:{2,5,6}:{(36,1),(37,1)}
      44:{1,2,6}:{(38,1),(39,1),(40,1)}

324 :  0:{1,2,3}:{(4,1)}
       1:{2,3,4}:{(4,1),(5,1),(14,1)}
       2:{1,3,4}:{(4,1),(6,1),(14,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(9,1),(22,1),(26,1),(27,1),(45,1)}
       4:{1,2,4}:{(0,1),(1,1),(2,1),(9,1)}
       5:{2,3,5}:{(1,1),(9,1),(10,1),(11,1),(26,1)}
       6:{1,3,5}:{(2,1),(9,1),(12,1),(13,1),(26,1)}
       7:{1,2,3,6}:{(3,1),(15,1),(17,1),(39,1),(54,1)}
       8:{1,2,4}:{(3,1),(14,1)}
       9:{1,2,5}:{(4,1),(5,1),(6,1),(17,1)}
      10:{2,4,5}:{(5,1),(18,1),(19,1)}
      11:{2,3,6}:{(5,1),(17,1),(19,1),(39,1)}
      12:{1,4,5}:{(6,1),(20,1),(21,1)}
      13:{1,3,6}:{(6,1),(17,1),(21,1),(39,1)}
      14:{3,4}:{(8,1),(26,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(25,1),(27,1)}
      16:{1,2,4,5}:{(8,1),(9,1),(10,1),(12,1),(26,1),(27,1),(28,1),(29,1),(32,1),(45,1),(48,1)}
      17:{1,2,6}:{(9,1),(11,1),(13,1)}
      18:{3,4,5}:{(10,1),(26,1),(29,1),(30,1),(48,1)}
      19:{2,4,6}:{(10,1),(11,1),(30,1),(31,1)}
      20:{3,4,5}:{(12,1),(26,1),(32,1),(33,1),(48,1)}
      21:{1,4,6}:{(12,1),(13,1),(33,1),(34,1)}
      22:{1,2,3}:{(35,1)}
      23:{2,3,4}:{(14,1),(35,1),(36,1)}
      24:{1,3,4}:{(14,1),(35,1),(37,1)}
      25:{3,4,6}:{(14,1),(15,1),(38,1),(39,1),(55,1)}
      26:{3,5}:{(14,1),(16,1),(39,1)}
      27:{1,2,5}:{(15,1),(38,1)}
      28:{1,2,4,6}:{(16,1),(17,1),(19,1),(21,1),(39,1),(40,1),(41,1),(43,1),(54,1),(55,1)}
      29:{1,4,5}:{(18,1),(37,1),(41,1)}
      30:{3,4,6}:{(18,1),(19,1),(39,1),(41,1),(42,1),(55,1)}
      31:{2,5,6}:{(19,1),(42,1)}
      32:{2,4,5}:{(20,1),(36,1),(43,1)}
      33:{3,4,6}:{(20,1),(21,1),(39,1),(43,1),(44,1),(55,1)}
      34:{1,5,6}:{(21,1),(44,1)}
      35:{1,2,4}:{(22,1),(23,1),(24,1),(45,1)}
      36:{2,3,5}:{(23,1),(26,1),(32,1),(45,1),(46,1)}
      37:{1,3,5}:{(24,1),(26,1),(29,1),(45,1),(47,1)}
      38:{3,5}:{(25,1),(27,1),(48,1)}
      39:{3,6}:{(26,1),(28,1)}
      40:{1,2,5,6}:{(27,1),(28,1),(31,1),(34,1),(49,1),(50,1),(52,1)}
      41:{1,4,6}:{(29,1),(30,1),(47,1),(50,1)}
      42:{3,5,6}:{(30,1),(31,1),(50,1),(51,1)}
      43:{2,4,6}:{(32,1),(33,1),(46,1),(52,1)}
      44:{3,5,6}:{(33,1),(34,1),(52,1),(53,1)}
      45:{1,2,5}:{(35,1),(36,1),(37,1),(54,1)}
      46:{2,3,6}:{(36,1),(39,1),(43,1),(54,1)}
      47:{1,3,6}:{(37,1),(39,1),(41,1),(54,1)}
      48:{4,5}:{(38,1),(55,1)}
      49:{3,5,6}:{(38,1),(39,1),(40,1),(55,1)}
      50:{1,5,6}:{(41,1),(42,1)}
      51:{4,5,6}:{(42,1),(55,1)}
      52:{2,5,6}:{(43,1),(44,1)}
      53:{4,5,6}:{(44,1),(55,1)}
      54:{1,2,6}:{(45,1),(46,1),(47,1)}
      55:{4,6}:{(48,1),(49,1)}

325 :  0:{1,3,4,5}:{(1,1),(2,1),(20,1),(42,1),(49,1)}
       1:{1,3,4,6}:{(0,1),(4,1),(5,1),(38,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(6,1),(14,1),(35,1),(39,1)}
       3:{3,4,5,6}:{(8,1),(9,1),(26,1),(63,1)}
       4:{1,3,5,6}:{(1,1),(8,1),(10,1),(26,1),(42,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(27,1)}
       6:{2,3,5}:{(2,1),(11,1),(12,1)}
       7:{1,2,3,5}:{(6,1),(13,1),(14,1),(32,1),(35,1)}
       8:{1,4,5,6}:{(3,1),(4,1),(52,1)}
       9:{2,4,5,6}:{(3,1),(15,1),(71,1)}
      10:{1,2,5,6}:{(4,1),(5,1),(17,1),(35,1)}
      11:{2,3,6}:{(5,1),(6,1)}
      12:{2,3,4}:{(6,1),(14,1)}
      13:{1,2,3,6}:{(7,1),(11,1),(23,1),(43,1)}
      14:{1,2,4}:{(7,1),(12,1),(20,1)}
      15:{2,3,5,6}:{(9,1),(21,1),(25,1),(26,1),(66,1)}
      16:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(25,1),(26,1),(27,1),(46,1),(48,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(26,1),(27,1),(28,1)}
      18:{2,3,4,6}:{(11,1),(12,1),(23,1),(27,1),(28,1),(45,1)}
      19:{2,3,4,5}:{(12,1),(24,1),(28,1),(29,1),(63,1)}
      20:{1,3,4}:{(14,1),(32,1)}
      21:{2,3,4,6}:{(15,1),(30,1),(33,1),(38,1)}
      22:{1,2,3,5,6}:{(13,1),(17,1),(34,1),(35,1),(37,1),(53,1),(54,1),(57,1),(74,1),(75,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(18,1),(31,1),(35,1)}
      24:{1,2,4,5}:{(14,1),(19,1),(32,1),(35,1),(36,1),(52,1)}
      25:{1,2,5,6}:{(15,1),(33,1),(37,1),(74,1)}
      26:{3,5,6}:{(16,1),(38,1),(57,1)}
      27:{2,4,6}:{(17,1),(38,1),(39,1)}
      28:{2,3,5}:{(18,1),(35,1),(39,1),(57,1)}
      29:{2,3,4,6}:{(19,1),(36,1),(40,1),(73,1)}
      30:{2,3,4,5}:{(21,1),(41,1),(49,1),(66,1),(77,1)}
      31:{1,3,4,6}:{(20,1),(23,1),(42,1),(43,1),(45,1),(64,1)}
      32:{1,3,5}:{(20,1),(24,1),(43,1)}
      33:{1,2,4,6}:{(21,1),(25,1),(41,1),(44,1),(48,1)}
      34:{1,2,4,6}:{(22,1),(27,1),(45,1),(46,1),(48,1),(64,1),(79,1)}
      35:{1,2,5}:{(23,1),(28,1),(42,1)}
      36:{1,2,4,6}:{(24,1),(29,1),(43,1),(47,1),(64,1)}
      37:{1,3,5,6}:{(25,1),(26,1),(44,1),(48,1),(67,1)}
      38:{3,4,6}:{(26,1),(27,1),(48,1),(49,1)}
      39:{2,4,5}:{(27,1),(28,1),(49,1)}
      40:{2,3,5,6}:{(28,1),(29,1),(47,1),(50,1),(68,1)}
      41:{1,2,4,5}:{(30,1),(33,1),(51,1),(59,1),(70,1),(74,1)}
      42:{1,3,5}:{(31,1),(35,1),(52,1),(57,1)}
      43:{1,3,6}:{(32,1),(36,1)}
      44:{1,3,6}:{(33,1),(51,1)}
      45:{3,4,6}:{(34,1),(57,1)}
      46:{1,2,4,5}:{(34,1),(35,1),(39,1),(52,1),(57,1),(59,1),(71,1),(74,1)}
      47:{1,2,5,6}:{(35,1),(36,1),(40,1),(53,1)}
      48:{1,4,6}:{(37,1),(38,1),(59,1)}
      49:{3,4,5}:{(38,1),(39,1),(57,1),(59,1)}
      50:{2,4,5,6}:{(39,1),(40,1),(60,1)}
      51:{1,3,5}:{(41,1),(44,1),(62,1)}
      52:{1,4,5}:{(42,1),(63,1),(64,1)}
      53:{1,3,5,6}:{(42,1),(43,1),(47,1),(64,1),(68,1)}
      54:{1,2,3,6}:{(44,1),(61,1),(65,1),(84,1)}
      55:{2,3,4,6}:{(45,1),(65,1),(66,1),(77,1),(79,1),(84,1)}
      56:{1,3,4,6}:{(44,1),(45,1),(48,1),(62,1),(65,1),(67,1)}
      57:{3,5}:{(45,1),(46,1)}
      58:{1,2,4,5,6}:{(46,1),(47,1),(50,1),(64,1),(68,1),(69,1),(79,1),(81,1)}
      59:{1,4,5}:{(48,1),(49,1),(67,1)}
      60:{3,4,5,6}:{(49,1),(50,1),(68,1),(69,1)}
      61:{1,2,3,5}:{(51,1),(54,1),(70,1),(74,1),(82,1)}
      62:{1,3,4}:{(51,1),(70,1)}
      63:{3,4,5}:{(52,1),(57,1),(71,1),(73,1)}
      64:{1,4,6}:{(52,1),(53,1),(73,1)}
      65:{1,2,4,6}:{(54,1),(55,1),(56,1),(70,1),(74,1)}
      66:{2,3,5}:{(55,1),(57,1),(71,1),(74,1)}
      67:{1,3,5}:{(56,1),(57,1),(59,1),(74,1)}
      68:{3,5,6}:{(57,1),(58,1),(73,1)}
      69:{1,4,5,6}:{(59,1),(60,1),(76,1)}
      70:{1,2,4}:{(61,1),(62,1),(77,1)}
      71:{2,4,5}:{(63,1),(66,1),(79,1)}
      72:{1,3,4,5}:{(62,1),(63,1),(67,1),(78,1),(80,1)}
      73:{3,4,6}:{(63,1),(64,1),(68,1),(79,1)}
      74:{1,2,5}:{(65,1),(66,1),(67,1)}
      75:{2,3,5,6}:{(66,1),(68,1),(79,1),(81,1),(84,1)}
      76:{1,3,5,6}:{(67,1),(68,1),(69,1),(80,1),(81,1)}
      77:{2,3,4}:{(70,1),(82,1)}
      78:{1,2,4,5}:{(70,1),(71,1),(72,1),(74,1),(82,1),(83,1)}
      79:{2,4,6}:{(71,1),(73,1),(75,1)}
      80:{1,3,4,6}:{(72,1),(73,1),(76,1),(83,1)}
      81:{1,2,5,6}:{(74,1),(75,1),(76,1),(83,1)}
      82:{2,3,5}:{(77,1),(78,1),(84,1)}
      83:{1,2,4,6}:{(78,1),(79,1),(80,1),(81,1),(84,1)}
      84:{2,3,6}:{(82,1),(83,1)}

326 :  0:{2,4,5,6}:{(1,1),(10,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1)}
       2:{2,3,4,6}:{(7,1),(8,1),(10,1),(23,1),(34,1),(35,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(23,1)}
       4:{1,5,6}:{(1,1),(9,1)}
       5:{2,3,5,6}:{(1,1),(7,1),(10,1),(11,1),(23,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(27,1)}
       7:{2,3,5}:{(2,1),(13,1),(14,1),(27,1),(39,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(28,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1),(16,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1)}
      12:{1,4,5}:{(6,1),(9,1),(19,1)}
      13:{2,4,5}:{(6,1),(7,1),(10,1)}
      14:{1,2,5}:{(7,1),(8,1),(21,1)}
      15:{1,3,6}:{(8,1),(21,1),(23,1)}
      16:{1,3,6}:{(9,1),(19,1),(22,1),(23,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(20,1),(22,1),(23,1),(24,1),(35,1)}
      18:{1,3,5,6}:{(11,1),(21,1),(23,1),(24,1),(36,1)}
      19:{1,3,5}:{(12,1),(16,1),(25,1),(26,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(31,1),(38,1),(39,1)}
      21:{1,3,5}:{(14,1),(15,1),(27,1),(28,1)}
      22:{1,2,6}:{(16,1),(26,1),(29,1)}
      23:{3,6}:{(17,1),(27,1)}
      24:{1,4,6}:{(18,1),(28,1),(30,1),(31,1)}
      25:{1,3,4}:{(19,1),(32,1),(34,1)}
      26:{1,2,5}:{(19,1),(22,1),(32,1),(33,1)}
      27:{3,5}:{(20,1),(23,1),(34,1)}
      28:{1,4}:{(21,1),(34,1)}
      29:{2,3,6}:{(22,1),(23,1),(33,1),(35,1)}
      30:{3,4,6}:{(23,1),(24,1),(34,1),(35,1),(36,1)}
      31:{1,4,5}:{(24,1),(36,1)}
      32:{1,2,4}:{(25,1),(26,1),(37,1),(38,1)}
      33:{2,3,5}:{(26,1),(27,1),(29,1),(37,1),(38,1),(39,1)}
      34:{3,4}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(29,1),(30,1),(38,1),(39,1)}
      36:{3,5}:{(30,1),(31,1),(39,1)}
      37:{2,3}:{(32,1)}
      38:{2,4}:{(33,1),(34,1)}
      39:{2,5}:{(35,1),(36,1)}

327 :  0:{1,4,5,6}:{(1,1),(9,1)}
       1:{3,5,6}:{(0,1),(3,1),(5,1)}
       2:{1,3,4,6}:{(7,1),(8,1),(9,1),(23,1),(34,1),(35,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(23,1)}
       4:{1,3,5,6}:{(1,1),(7,1),(9,1),(11,1),(23,1)}
       5:{2,5,6}:{(1,1),(10,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(27,1)}
       7:{1,3,5}:{(2,1),(12,1),(14,1),(27,1),(39,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(28,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1),(16,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(18,1),(39,1)}
      12:{1,4,5}:{(6,1),(7,1),(9,1)}
      13:{2,4,5}:{(6,1),(10,1),(19,1)}
      14:{1,2,5}:{(7,1),(8,1),(21,1)}
      15:{2,3,6}:{(8,1),(21,1),(23,1)}
      16:{2,3,6}:{(10,1),(19,1),(22,1),(23,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(20,1),(22,1),(23,1),(24,1),(35,1)}
      18:{2,3,5,6}:{(11,1),(21,1),(23,1),(24,1),(36,1)}
      19:{2,3,5}:{(13,1),(16,1),(25,1),(26,1),(27,1)}
      20:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(31,1),(38,1),(39,1)}
      21:{2,3,5}:{(14,1),(15,1),(27,1),(28,1)}
      22:{1,2,6}:{(16,1),(26,1),(29,1)}
      23:{3,6}:{(17,1),(27,1)}
      24:{2,4,6}:{(18,1),(28,1),(30,1),(31,1)}
      25:{2,3,4}:{(19,1),(32,1),(34,1)}
      26:{1,2,5}:{(19,1),(22,1),(32,1),(33,1)}
      27:{3,5}:{(20,1),(23,1),(34,1)}
      28:{2,4}:{(21,1),(34,1)}
      29:{1,3,6}:{(22,1),(23,1),(33,1),(35,1)}
      30:{3,4,6}:{(23,1),(24,1),(34,1),(35,1),(36,1)}
      31:{2,4,5}:{(24,1),(36,1)}
      32:{1,2,4}:{(25,1),(26,1),(37,1),(38,1)}
      33:{1,3,5}:{(26,1),(27,1),(29,1),(37,1),(38,1),(39,1)}
      34:{3,4}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(29,1),(30,1),(38,1),(39,1)}
      36:{3,5}:{(30,1),(31,1),(39,1)}
      37:{1,3}:{(32,1)}
      38:{1,4}:{(33,1),(34,1)}
      39:{1,5}:{(35,1),(36,1)}

328 :  0:{2,3,4,5}:{(1,1),(2,1),(20,1),(42,1),(49,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(38,1)}
       2:{1,2,4,5}:{(0,1),(5,1),(6,1),(14,1),(35,1),(39,1)}
       3:{3,4,5,6}:{(8,1),(9,1),(26,1),(63,1)}
       4:{2,3,5,6}:{(1,1),(9,1),(10,1),(26,1),(42,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(27,1)}
       6:{1,3,5}:{(2,1),(11,1),(12,1)}
       7:{1,2,3,5}:{(6,1),(13,1),(14,1),(32,1),(35,1)}
       8:{1,4,5,6}:{(3,1),(15,1),(72,1)}
       9:{2,4,5,6}:{(3,1),(4,1),(52,1)}
      10:{1,2,5,6}:{(4,1),(5,1),(17,1),(35,1)}
      11:{1,3,6}:{(5,1),(6,1)}
      12:{1,3,4}:{(6,1),(14,1)}
      13:{1,2,3,6}:{(7,1),(11,1),(23,1),(43,1)}
      14:{1,2,4}:{(7,1),(12,1),(20,1)}
      15:{1,3,5,6}:{(8,1),(21,1),(25,1),(26,1),(67,1)}
      16:{1,2,4,5,6}:{(8,1),(9,1),(10,1),(25,1),(26,1),(27,1),(46,1),(48,1)}
      17:{1,3,5,6}:{(10,1),(11,1),(26,1),(27,1),(28,1)}
      18:{1,3,4,6}:{(11,1),(12,1),(23,1),(27,1),(28,1),(45,1)}
      19:{1,3,4,5}:{(12,1),(24,1),(28,1),(29,1),(63,1)}
      20:{2,3,4}:{(14,1),(32,1)}
      21:{1,3,4,6}:{(15,1),(30,1),(33,1),(38,1)}
      22:{1,2,3,5,6}:{(13,1),(17,1),(34,1),(35,1),(37,1),(53,1),(54,1),(57,1),(74,1),(76,1)}
      23:{1,2,4,6}:{(13,1),(14,1),(18,1),(31,1),(35,1)}
      24:{1,2,4,5}:{(14,1),(19,1),(32,1),(35,1),(36,1),(52,1)}
      25:{1,2,5,6}:{(15,1),(33,1),(37,1),(74,1)}
      26:{3,5,6}:{(16,1),(38,1),(57,1)}
      27:{1,4,6}:{(17,1),(38,1),(39,1)}
      28:{1,3,5}:{(18,1),(35,1),(39,1),(57,1)}
      29:{1,3,4,6}:{(19,1),(36,1),(40,1),(73,1)}
      30:{1,3,4,5}:{(21,1),(41,1),(49,1),(67,1),(77,1)}
      31:{2,3,4,6}:{(20,1),(23,1),(42,1),(43,1),(45,1),(64,1)}
      32:{2,3,5}:{(20,1),(24,1),(43,1)}
      33:{1,2,4,6}:{(21,1),(25,1),(41,1),(44,1),(48,1)}
      34:{1,2,4,6}:{(22,1),(27,1),(45,1),(46,1),(48,1),(64,1),(80,1)}
      35:{1,2,5}:{(23,1),(28,1),(42,1)}
      36:{1,2,4,6}:{(24,1),(29,1),(43,1),(47,1),(64,1)}
      37:{2,3,5,6}:{(25,1),(26,1),(44,1),(48,1),(66,1)}
      38:{3,4,6}:{(26,1),(27,1),(48,1),(49,1)}
      39:{1,4,5}:{(27,1),(28,1),(49,1)}
      40:{1,3,5,6}:{(28,1),(29,1),(47,1),(50,1),(68,1)}
      41:{1,2,4,5}:{(30,1),(33,1),(51,1),(59,1),(70,1),(74,1)}
      42:{2,3,5}:{(31,1),(35,1),(52,1),(57,1)}
      43:{2,3,6}:{(32,1),(36,1)}
      44:{2,3,6}:{(33,1),(51,1)}
      45:{3,4,6}:{(34,1),(57,1)}
      46:{1,2,4,5}:{(34,1),(35,1),(39,1),(52,1),(57,1),(59,1),(72,1),(74,1)}
      47:{1,2,5,6}:{(35,1),(36,1),(40,1),(53,1)}
      48:{2,4,6}:{(37,1),(38,1),(59,1)}
      49:{3,4,5}:{(38,1),(39,1),(57,1),(59,1)}
      50:{1,4,5,6}:{(39,1),(40,1),(60,1)}
      51:{2,3,5}:{(41,1),(44,1),(62,1)}
      52:{2,4,5}:{(42,1),(63,1),(64,1)}
      53:{2,3,5,6}:{(42,1),(43,1),(47,1),(64,1),(68,1)}
      54:{1,2,3,6}:{(44,1),(61,1),(65,1),(84,1)}
      55:{2,3,4,6}:{(44,1),(45,1),(48,1),(62,1),(65,1),(66,1)}
      56:{1,3,4,6}:{(45,1),(65,1),(67,1),(77,1),(80,1),(84,1)}
      57:{3,5}:{(45,1),(46,1)}
      58:{1,2,4,5,6}:{(46,1),(47,1),(50,1),(64,1),(68,1),(69,1),(80,1),(81,1)}
      59:{2,4,5}:{(48,1),(49,1),(66,1)}
      60:{3,4,5,6}:{(49,1),(50,1),(68,1),(69,1)}
      61:{1,2,3,5}:{(51,1),(54,1),(70,1),(74,1),(82,1)}
      62:{2,3,4}:{(51,1),(70,1)}
      63:{3,4,5}:{(52,1),(57,1),(72,1),(73,1)}
      64:{2,4,6}:{(52,1),(53,1),(73,1)}
      65:{1,2,4,6}:{(54,1),(55,1),(56,1),(70,1),(74,1)}
      66:{2,3,5}:{(55,1),(57,1),(59,1),(74,1)}
      67:{1,3,5}:{(56,1),(57,1),(72,1),(74,1)}
      68:{3,5,6}:{(57,1),(58,1),(73,1)}
      69:{2,4,5,6}:{(59,1),(60,1),(75,1)}
      70:{1,2,4}:{(61,1),(62,1),(77,1)}
      71:{2,3,4,5}:{(62,1),(63,1),(66,1),(78,1),(79,1)}
      72:{1,4,5}:{(63,1),(67,1),(80,1)}
      73:{3,4,6}:{(63,1),(64,1),(68,1),(80,1)}
      74:{1,2,5}:{(65,1),(66,1),(67,1)}
      75:{2,3,5,6}:{(66,1),(68,1),(69,1),(79,1),(81,1)}
      76:{1,3,5,6}:{(67,1),(68,1),(80,1),(81,1),(84,1)}
      77:{1,3,4}:{(70,1),(82,1)}
      78:{1,2,4,5}:{(70,1),(71,1),(72,1),(74,1),(82,1),(83,1)}
      79:{2,3,4,6}:{(71,1),(73,1),(75,1),(83,1)}
      80:{1,4,6}:{(72,1),(73,1),(76,1)}
      81:{1,2,5,6}:{(74,1),(75,1),(76,1),(83,1)}
      82:{1,3,5}:{(77,1),(78,1),(84,1)}
      83:{1,2,4,6}:{(78,1),(79,1),(80,1),(81,1),(84,1)}
      84:{1,3,6}:{(82,1),(83,1)}

329 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(16,1)}
       1:{3,5,6}:{(0,1),(2,1),(22,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(14,1),(19,1),(26,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(15,1),(19,1),(25,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(22,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(29,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(28,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(21,1)}
       9:{1,4,5}:{(5,1),(6,1),(14,1)}
      10:{2,4,5}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(14,1),(17,1),(19,1),(27,1)}
      12:{2,3,4,6}:{(7,1),(15,1),(18,1),(19,1),(27,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(16,1),(19,1)}
      14:{1,3,5}:{(9,1),(11,1),(20,1),(22,1)}
      15:{2,3,5}:{(10,1),(12,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(13,1),(20,1),(21,1),(22,1),(28,1),(29,1)}
      17:{1,2,4,6}:{(11,1),(20,1),(23,1),(28,1)}
      18:{1,2,4,6}:{(12,1),(21,1),(24,1),(29,1)}
      19:{3,6}:{(13,1),(22,1)}
      20:{1,2,5}:{(14,1),(17,1),(25,1)}
      21:{1,2,5}:{(15,1),(18,1),(26,1)}
      22:{3,5}:{(16,1),(19,1),(27,1)}
      23:{2,3,6}:{(17,1),(19,1),(25,1)}
      24:{1,3,6}:{(18,1),(19,1),(26,1)}
      25:{2,3,5}:{(20,1),(22,1),(23,1),(28,1)}
      26:{1,3,5}:{(21,1),(22,1),(24,1),(29,1)}
      27:{3,4}:{(22,1),(28,1),(29,1)}
      28:{2,4}:{(25,1),(27,1)}
      29:{1,4}:{(26,1),(27,1)}

330 :  0:{3,4,5,6}:{(1,1),(2,1),(12,1),(74,1)}
       1:{1,4,5,6}:{(0,1),(3,1),(78,1)}
       2:{2,4,5,6}:{(0,1),(4,1),(80,1)}
       3:{1,3,5,6}:{(1,1),(8,1),(10,1),(12,1),(70,1)}
       4:{2,3,5,6}:{(2,1),(9,1),(11,1),(12,1),(72,1)}
       5:{1,2,4,5,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(25,1),(26,1),(49,1)}
       6:{1,3,4,5}:{(8,1),(13,1),(27,1),(52,1),(70,1)}
       7:{2,3,4,5}:{(9,1),(14,1),(27,1),(55,1),(72,1)}
       8:{1,3,4,6}:{(3,1),(6,1),(15,1),(19,1)}
       9:{2,3,4,6}:{(4,1),(7,1),(16,1),(19,1)}
      10:{1,2,5,6}:{(3,1),(15,1),(17,1),(59,1)}
      11:{1,2,5,6}:{(4,1),(16,1),(18,1),(62,1)}
      12:{3,5,6}:{(5,1),(19,1),(64,1)}
      13:{1,2,4,5}:{(6,1),(15,1),(20,1),(37,1),(40,1),(59,1)}
      14:{1,2,4,5}:{(7,1),(16,1),(21,1),(38,1),(42,1),(62,1)}
      15:{1,2,4,6}:{(8,1),(10,1),(13,1),(22,1),(25,1)}
      16:{1,2,4,6}:{(9,1),(11,1),(14,1),(23,1),(26,1)}
      17:{2,3,5,6}:{(10,1),(12,1),(22,1),(25,1),(45,1)}
      18:{1,3,5,6}:{(11,1),(12,1),(23,1),(26,1),(47,1)}
      19:{3,4,6}:{(12,1),(25,1),(26,1),(27,1)}
      20:{2,3,5}:{(13,1),(22,1),(29,1)}
      21:{1,3,5}:{(14,1),(23,1),(31,1)}
      22:{2,3,6}:{(15,1),(20,1)}
      23:{1,3,6}:{(16,1),(21,1)}
      24:{1,2,3,5,6}:{(17,1),(18,1),(32,1),(34,1),(36,1),(59,1),(62,1),(64,1),(79,1),(81,1)}
      25:{2,4,6}:{(17,1),(19,1),(37,1)}
      26:{1,4,6}:{(18,1),(19,1),(38,1)}
      27:{3,4,5}:{(19,1),(37,1),(38,1),(64,1)}
      28:{1,2,3,5}:{(20,1),(32,1),(40,1),(59,1),(66,1)}
      29:{2,3,4}:{(20,1),(40,1)}
      30:{1,2,3,5}:{(21,1),(34,1),(42,1),(62,1),(68,1)}
      31:{1,3,4}:{(21,1),(42,1)}
      32:{1,2,3,6}:{(22,1),(28,1),(44,1),(76,1)}
      33:{2,3,4,6}:{(22,1),(25,1),(29,1),(44,1),(45,1),(48,1)}
      34:{1,2,3,6}:{(23,1),(30,1),(46,1),(77,1)}
      35:{1,3,4,6}:{(23,1),(26,1),(31,1),(46,1),(47,1),(48,1)}
      36:{1,2,4,6}:{(24,1),(25,1),(26,1),(48,1),(49,1),(83,1),(84,1)}
      37:{2,4,5}:{(25,1),(27,1),(45,1)}
      38:{1,4,5}:{(26,1),(27,1),(47,1)}
      39:{3,4,5,6}:{(27,1),(50,1),(51,1),(75,1)}
      40:{1,2,4}:{(28,1),(29,1),(52,1)}
      41:{2,3,4,5}:{(29,1),(45,1),(53,1),(54,1),(74,1)}
      42:{1,2,4}:{(30,1),(31,1),(55,1)}
      43:{1,3,4,5}:{(31,1),(47,1),(56,1),(57,1),(74,1)}
      44:{1,2,4,6}:{(32,1),(33,1),(40,1),(58,1),(59,1)}
      45:{2,3,5}:{(33,1),(37,1),(59,1),(64,1)}
      46:{1,2,4,6}:{(34,1),(35,1),(42,1),(61,1),(62,1)}
      47:{1,3,5}:{(35,1),(38,1),(62,1),(64,1)}
      48:{3,4,6}:{(36,1),(64,1)}
      49:{1,2,4,5}:{(36,1),(37,1),(38,1),(59,1),(62,1),(64,1),(78,1),(80,1)}
      50:{2,4,5,6}:{(37,1),(39,1),(60,1)}
      51:{1,4,5,6}:{(38,1),(39,1),(63,1)}
      52:{1,3,4}:{(40,1),(66,1)}
      53:{1,2,4,5}:{(40,1),(41,1),(59,1),(66,1),(67,1),(78,1)}
      54:{2,3,4,6}:{(41,1),(60,1),(67,1),(82,1)}
      55:{2,3,4}:{(42,1),(68,1)}
      56:{1,2,4,5}:{(42,1),(43,1),(62,1),(68,1),(69,1),(80,1)}
      57:{1,3,4,6}:{(43,1),(63,1),(69,1),(82,1)}
      58:{1,3,4,6}:{(44,1),(48,1),(52,1),(70,1),(76,1),(83,1)}
      59:{1,2,5}:{(44,1),(45,1),(70,1)}
      60:{2,3,5,6}:{(45,1),(50,1),(54,1),(71,1),(75,1)}
      61:{2,3,4,6}:{(46,1),(48,1),(55,1),(72,1),(77,1),(84,1)}
      62:{1,2,5}:{(46,1),(47,1),(72,1)}
      63:{1,3,5,6}:{(47,1),(51,1),(57,1),(73,1),(75,1)}
      64:{3,5}:{(48,1),(49,1)}
      65:{1,2,4,5,6}:{(49,1),(50,1),(51,1),(71,1),(73,1),(75,1),(83,1),(84,1)}
      66:{1,3,5}:{(52,1),(53,1),(76,1)}
      67:{1,2,4,6}:{(53,1),(54,1),(71,1),(76,1),(83,1)}
      68:{2,3,5}:{(55,1),(56,1),(77,1)}
      69:{1,2,4,6}:{(56,1),(57,1),(73,1),(77,1),(84,1)}
      70:{1,3,5}:{(58,1),(59,1),(64,1),(78,1)}
      71:{1,2,5,6}:{(59,1),(60,1),(67,1),(79,1)}
      72:{2,3,5}:{(61,1),(62,1),(64,1),(80,1)}
      73:{1,2,5,6}:{(62,1),(63,1),(69,1),(81,1)}
      74:{3,4,5}:{(64,1),(78,1),(80,1),(82,1)}
      75:{3,5,6}:{(64,1),(65,1),(82,1)}
      76:{1,3,6}:{(66,1),(67,1)}
      77:{2,3,6}:{(68,1),(69,1)}
      78:{1,4,5}:{(70,1),(74,1),(83,1)}
      79:{1,3,5,6}:{(70,1),(71,1),(75,1),(76,1),(83,1)}
      80:{2,4,5}:{(72,1),(74,1),(84,1)}
      81:{2,3,5,6}:{(72,1),(73,1),(75,1),(77,1),(84,1)}
      82:{3,4,6}:{(74,1),(75,1),(83,1),(84,1)}
      83:{1,4,6}:{(78,1),(79,1),(82,1)}
      84:{2,4,6}:{(80,1),(81,1),(82,1)}

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

332 :  0:{1,2,3,5,6}:{(1,1),(4,1),(7,1),(19,1),(20,1),(21,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(24,1),(25,1)}
       2:{3,4,6}:{(1,1),(7,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(16,1),(17,1),(19,1)}
       4:{1,2,3,6}:{(9,1),(11,1),(29,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(22,1),(24,1),(29,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(13,1),(22,1),(25,1),(29,1)}
       7:{3,5}:{(2,1),(3,1)}
       8:{1,2,4,5,6}:{(3,1),(14,1),(24,1),(25,1),(26,1)}
       9:{1,2,3,5}:{(4,1),(15,1),(19,1),(27,1)}
      10:{3,4,5}:{(7,1),(16,1),(17,1),(18,1),(27,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(6,1),(15,1),(19,1)}
      12:{2,3,5}:{(5,1),(7,1),(16,1),(19,1),(27,1)}
      13:{1,3,5}:{(6,1),(7,1),(17,1),(19,1),(27,1)}
      14:{3,5,6}:{(7,1),(8,1),(18,1)}
      15:{1,2,4}:{(9,1),(22,1)}
      16:{2,4,5}:{(10,1),(12,1),(24,1)}
      17:{1,4,5}:{(10,1),(13,1),(25,1)}
      18:{3,4,6}:{(10,1),(14,1),(24,1),(25,1),(29,1)}
      19:{1,2,5}:{(11,1),(12,1),(13,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(29,1)}
      21:{1,3,5,6}:{(13,1),(14,1),(25,1),(26,1),(29,1)}
      22:{3,4}:{(15,1),(27,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(17,1),(19,1),(27,1),(28,1)}
      24:{2,4,6}:{(16,1),(18,1),(20,1)}
      25:{1,4,6}:{(17,1),(18,1),(21,1)}
      26:{1,2,5,6}:{(19,1),(20,1),(21,1),(28,1)}
      27:{3,5}:{(22,1),(23,1),(29,1)}
      28:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(29,1)}
      29:{3,6}:{(27,1),(28,1)}

333 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(38,1),(43,1)}
       1:{1,2,4,5}:{(0,1),(3,1),(4,1),(11,1),(30,1),(33,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(34,1)}
       3:{1,3,5}:{(1,1),(7,1),(8,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(24,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(10,1),(25,1),(38,1)}
       6:{1,2,3,5}:{(3,1),(11,1),(12,1),(27,1),(30,1)}
       7:{1,3,4}:{(3,1),(11,1)}
       8:{1,3,6}:{(3,1),(4,1)}
       9:{1,2,5,6}:{(4,1),(5,1),(15,1),(30,1)}
      10:{2,4,5,6}:{(5,1),(17,1),(48,1)}
      11:{1,2,4}:{(6,1),(7,1),(18,1)}
      12:{1,2,3,6}:{(6,1),(8,1),(20,1),(37,1)}
      13:{1,3,4,5}:{(7,1),(19,1),(22,1),(23,1),(58,1)}
      14:{1,3,4,6}:{(7,1),(8,1),(20,1),(23,1),(24,1),(41,1)}
      15:{1,3,5,6}:{(8,1),(9,1),(23,1),(24,1),(25,1)}
      16:{1,2,4,5,6}:{(9,1),(10,1),(24,1),(25,1),(26,1),(40,1),(45,1),(46,1)}
      17:{3,4,5,6}:{(10,1),(25,1),(26,1),(58,1)}
      18:{2,3,4}:{(11,1),(27,1)}
      19:{1,2,4,5}:{(11,1),(13,1),(27,1),(29,1),(30,1),(48,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(14,1),(28,1),(30,1)}
      21:{1,2,3,5,6}:{(12,1),(15,1),(30,1),(31,1),(36,1),(47,1),(50,1),(69,1),(71,1),(72,1)}
      22:{1,3,4,6}:{(13,1),(29,1),(32,1),(66,1)}
      23:{1,3,5}:{(14,1),(30,1),(33,1),(50,1)}
      24:{1,4,6}:{(15,1),(33,1),(34,1)}
      25:{3,5,6}:{(16,1),(34,1),(50,1)}
      26:{1,4,5,6}:{(17,1),(35,1),(67,1)}
      27:{2,3,5}:{(18,1),(19,1),(37,1)}
      28:{2,3,4,6}:{(18,1),(20,1),(37,1),(38,1),(41,1),(57,1)}
      29:{1,2,4,6}:{(19,1),(22,1),(37,1),(39,1),(57,1)}
      30:{1,2,5}:{(20,1),(23,1),(38,1)}
      31:{1,2,4,6}:{(21,1),(24,1),(40,1),(41,1),(45,1),(57,1),(74,1)}
      32:{1,3,5,6}:{(22,1),(23,1),(39,1),(42,1),(59,1)}
      33:{1,4,5}:{(23,1),(24,1),(43,1)}
      34:{3,4,6}:{(24,1),(25,1),(43,1),(45,1)}
      35:{1,3,5,6}:{(25,1),(26,1),(44,1),(46,1),(60,1)}
      36:{2,3,5,6}:{(25,1),(45,1),(46,1),(61,1),(65,1)}
      37:{2,3,6}:{(27,1),(29,1)}
      38:{2,3,5}:{(28,1),(30,1),(48,1),(50,1)}
      39:{1,2,5,6}:{(29,1),(30,1),(32,1),(47,1)}
      40:{1,2,4,5}:{(30,1),(31,1),(33,1),(48,1),(50,1),(55,1),(67,1),(71,1)}
      41:{3,4,6}:{(31,1),(50,1)}
      42:{1,4,5,6}:{(32,1),(33,1),(53,1)}
      43:{3,4,5}:{(33,1),(34,1),(50,1),(55,1)}
      44:{1,3,4,6}:{(34,1),(35,1),(54,1),(56,1)}
      45:{2,4,6}:{(34,1),(36,1),(55,1)}
      46:{1,2,5,6}:{(35,1),(36,1),(56,1),(71,1)}
      47:{2,3,5,6}:{(37,1),(38,1),(39,1),(57,1),(59,1)}
      48:{2,4,5}:{(38,1),(57,1),(58,1)}
      49:{1,2,4,5,6}:{(39,1),(40,1),(42,1),(57,1),(59,1),(63,1),(74,1),(77,1)}
      50:{3,5}:{(40,1),(41,1)}
      51:{1,3,4,6}:{(41,1),(60,1),(62,1),(74,1),(83,1),(84,1)}
      52:{2,3,4,6}:{(41,1),(45,1),(61,1),(62,1),(65,1),(79,1)}
      53:{3,4,5,6}:{(42,1),(43,1),(59,1),(63,1)}
      54:{1,3,4,5}:{(43,1),(44,1),(60,1),(64,1),(84,1)}
      55:{2,4,5}:{(43,1),(45,1),(61,1)}
      56:{1,2,4,6}:{(44,1),(45,1),(46,1),(64,1),(65,1)}
      57:{2,4,6}:{(47,1),(48,1),(66,1)}
      58:{3,4,5}:{(48,1),(50,1),(66,1),(67,1)}
      59:{3,5,6}:{(49,1),(50,1),(66,1)}
      60:{1,3,5}:{(50,1),(51,1),(67,1),(71,1)}
      61:{2,3,5}:{(50,1),(52,1),(55,1),(71,1)}
      62:{1,2,4,6}:{(51,1),(52,1),(71,1),(72,1),(82,1)}
      63:{2,4,5,6}:{(53,1),(55,1),(70,1)}
      64:{1,2,4,5}:{(54,1),(55,1),(56,1),(71,1),(73,1),(82,1)}
      65:{2,3,6}:{(56,1),(73,1)}
      66:{3,4,6}:{(57,1),(58,1),(59,1),(74,1)}
      67:{1,4,5}:{(58,1),(60,1),(74,1)}
      68:{2,3,4,5}:{(58,1),(61,1),(75,1),(76,1),(79,1)}
      69:{1,3,5,6}:{(59,1),(60,1),(74,1),(77,1),(83,1)}
      70:{2,3,5,6}:{(59,1),(61,1),(63,1),(75,1),(77,1)}
      71:{1,2,5}:{(60,1),(61,1),(62,1)}
      72:{1,2,3,6}:{(62,1),(65,1),(78,1),(83,1)}
      73:{2,3,5}:{(64,1),(65,1),(79,1)}
      74:{1,4,6}:{(66,1),(67,1),(69,1)}
      75:{2,3,4,6}:{(66,1),(68,1),(70,1),(80,1)}
      76:{1,2,4,5}:{(67,1),(68,1),(71,1),(80,1),(81,1),(82,1)}
      77:{1,2,5,6}:{(69,1),(70,1),(71,1),(80,1)}
      78:{1,2,3,5}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
      79:{2,3,4}:{(73,1),(82,1)}
      80:{1,2,4,6}:{(74,1),(75,1),(76,1),(77,1),(83,1)}
      81:{1,3,5}:{(76,1),(83,1),(84,1)}
      82:{1,2,4}:{(78,1),(79,1),(84,1)}
      83:{1,3,6}:{(80,1),(81,1)}
      84:{1,3,4}:{(81,1),(82,1)}

334 :  0:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(15,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(16,1),(17,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(20,1),(21,1),(22,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,5,6}:{(4,1),(5,1),(13,1)}
       9:{3,4,5}:{(5,1),(13,1),(16,1),(17,1),(26,1)}
      10:{1,3,5}:{(5,1),(6,1),(16,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(17,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,3,5,6}:{(8,1),(10,1),(20,1),(22,1),(28,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(28,1)}
      16:{1,4,5}:{(9,1),(10,1),(20,1)}
      17:{2,4,5}:{(9,1),(11,1),(21,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(18,1),(25,1)}
      23:{1,2,4,5}:{(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(23,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

335 :  0:{1,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(5,1),(6,1),(18,1)}
       2:{1,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1)}
       3:{1,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(22,1)}
       4:{1,4,5,6}:{(9,1),(10,1)}
       5:{2,3,6}:{(1,1),(11,1),(22,1)}
       6:{1,2,5}:{(1,1),(2,1),(11,1)}
       7:{1,4,5}:{(2,1),(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(6,1),(14,1),(15,1),(17,1),(38,1)}
       9:{1,4,6}:{(3,1),(7,1),(16,1)}
      10:{3,5,6}:{(4,1),(16,1),(17,1)}
      11:{2,3,5}:{(5,1),(6,1),(18,1),(19,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(15,1),(18,1),(19,1),(20,1),(27,1),(31,1),(33,1),(38,1)}
      13:{3,4,5}:{(7,1),(16,1),(19,1),(20,1)}
      14:{2,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(12,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(10,1),(13,1),(22,1),(23,1)}
      17:{2,5,6}:{(10,1),(23,1)}
      18:{2,4}:{(11,1),(24,1)}
      19:{3,5}:{(12,1),(22,1),(24,1)}
      20:{2,4,5}:{(13,1),(23,1),(26,1)}
      21:{2,4,6}:{(14,1),(18,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(19,1)}
      23:{2,4,6}:{(16,1),(17,1),(20,1),(30,1)}
      24:{3,4}:{(18,1),(19,1),(31,1)}
      25:{1,3,5}:{(19,1),(29,1),(31,1),(33,1),(38,1),(39,1)}
      26:{2,3,5}:{(19,1),(20,1),(30,1),(32,1),(33,1)}
      27:{2,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(25,1),(35,1),(36,1)}
      30:{2,3,6}:{(22,1),(23,1),(26,1),(36,1)}
      31:{1,4}:{(24,1),(25,1)}
      32:{2,3,4}:{(24,1),(26,1),(37,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(28,1),(29,1),(31,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(37,1)}

336 :  0:{2,3,4,6}:{(3,1),(4,1),(6,1),(19,1),(28,1),(32,1)}
       1:{2,3,5,6}:{(4,1),(5,1),(6,1),(7,1),(19,1)}
       2:{2,4,5,6}:{(6,1),(7,1)}
       3:{1,2,4,6}:{(0,1),(8,1),(9,1),(21,1)}
       4:{2,3,5}:{(0,1),(9,1),(10,1),(22,1),(37,1)}
       5:{1,2,5,6}:{(1,1),(9,1),(11,1),(12,1),(14,1),(37,1)}
       6:{2,4,6}:{(1,1),(10,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1)}
       8:{1,3,6}:{(3,1),(15,1),(19,1)}
       9:{1,2,5}:{(3,1),(4,1),(15,1)}
      10:{2,4,5}:{(4,1),(6,1),(17,1)}
      11:{1,3,5,6}:{(5,1),(15,1),(18,1),(19,1),(31,1)}
      12:{1,2,4,6}:{(5,1),(6,1),(16,1),(18,1),(19,1),(20,1),(32,1),(33,1)}
      13:{3,4,6}:{(6,1),(7,1),(17,1),(19,1),(20,1)}
      14:{1,5,6}:{(7,1),(20,1)}
      15:{1,3,5}:{(8,1),(9,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(12,1),(21,1),(22,1),(23,1),(24,1),(35,1),(36,1),(37,1)}
      17:{3,4,5}:{(10,1),(13,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(21,1),(24,1),(25,1)}
      19:{3,6}:{(12,1),(22,1)}
      20:{1,4,6}:{(13,1),(14,1),(23,1),(26,1)}
      21:{1,4}:{(15,1),(28,1)}
      22:{3,5}:{(16,1),(19,1),(28,1)}
      23:{1,4,5}:{(17,1),(20,1),(29,1)}
      24:{1,4,5}:{(18,1),(31,1)}
      25:{3,4,6}:{(18,1),(19,1),(28,1),(31,1),(32,1)}
      26:{1,3,6}:{(19,1),(20,1),(29,1),(33,1)}
      27:{2,3,6}:{(19,1),(30,1),(32,1),(33,1)}
      28:{3,4}:{(21,1),(22,1),(35,1)}
      29:{1,3,5}:{(22,1),(23,1),(26,1),(34,1),(36,1)}
      30:{2,3,5}:{(22,1),(27,1),(35,1),(36,1),(37,1),(39,1)}
      31:{3,5}:{(24,1),(25,1),(37,1)}
      32:{2,4,6}:{(25,1),(27,1),(35,1),(37,1)}
      33:{1,2,6}:{(26,1),(27,1),(36,1)}
      34:{1,3,4}:{(28,1),(29,1),(38,1)}
      35:{2,4}:{(28,1),(30,1)}
      36:{1,2,5}:{(29,1),(30,1),(33,1),(38,1)}
      37:{2,5}:{(31,1),(32,1)}
      38:{1,2,4}:{(34,1),(35,1),(36,1),(39,1)}
      39:{2,3}:{(38,1)}

337 :  0:{1,2,3,6}:{(2,1),(3,1),(31,1),(43,1)}
       1:{2,3,4,6}:{(3,1),(4,1),(11,1),(15,1),(31,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(18,1),(21,1),(37,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       4:{2,3,5}:{(1,1),(7,1),(8,1),(21,1)}
       5:{1,3,4,6}:{(3,1),(10,1),(11,1),(27,1),(31,1)}
       6:{1,2,4}:{(2,1),(11,1)}
       7:{1,2,5}:{(3,1),(4,1),(10,1)}
       8:{2,4,5}:{(4,1),(14,1),(15,1)}
       9:{2,3,5,6}:{(4,1),(13,1),(15,1),(31,1),(32,1)}
      10:{1,3,5}:{(5,1),(7,1),(16,1),(21,1)}
      11:{3,4}:{(6,1),(21,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(8,1),(16,1),(21,1),(22,1),(24,1),(35,1),(37,1)}
      13:{1,2,5,6}:{(7,1),(9,1),(17,1),(22,1),(40,1),(44,1)}
      14:{3,4,5}:{(8,1),(21,1),(24,1),(25,1)}
      15:{2,4,6}:{(8,1),(9,1),(25,1)}
      16:{1,4,5}:{(10,1),(26,1),(27,1)}
      17:{1,3,5,6}:{(10,1),(13,1),(27,1),(31,1),(41,1)}
      18:{1,2,3}:{(28,1)}
      19:{2,3,4}:{(11,1),(28,1),(29,1)}
      20:{1,3,4}:{(11,1),(28,1),(30,1)}
      21:{3,5}:{(11,1),(12,1),(31,1)}
      22:{1,2,4,6}:{(12,1),(13,1),(15,1),(27,1),(31,1),(33,1),(42,1),(43,1)}
      23:{2,4,5,6}:{(15,1),(32,1)}
      24:{1,4,5}:{(14,1),(30,1),(33,1)}
      25:{3,4,6}:{(14,1),(15,1),(31,1),(32,1),(33,1)}
      26:{3,4,5}:{(16,1),(21,1),(35,1),(36,1)}
      27:{1,4,6}:{(16,1),(17,1),(36,1)}
      28:{1,2,4}:{(18,1),(19,1),(20,1),(37,1)}
      29:{2,3,5}:{(19,1),(21,1),(35,1),(37,1),(38,1)}
      30:{1,3,5}:{(20,1),(21,1),(24,1),(37,1),(39,1)}
      31:{3,6}:{(21,1),(22,1)}
      32:{3,5,6}:{(23,1),(25,1),(40,1)}
      33:{1,4,6}:{(24,1),(25,1),(39,1),(40,1)}
      34:{1,4,5,6}:{(27,1),(41,1)}
      35:{2,4,5}:{(26,1),(29,1),(42,1)}
      36:{3,4,6}:{(26,1),(27,1),(31,1),(41,1),(42,1)}
      37:{1,2,5}:{(28,1),(29,1),(30,1),(43,1)}
      38:{2,3,6}:{(29,1),(31,1),(42,1),(43,1)}
      39:{1,3,6}:{(30,1),(31,1),(33,1),(43,1)}
      40:{1,5,6}:{(32,1),(33,1)}
      41:{3,5,6}:{(34,1),(36,1),(44,1)}
      42:{2,4,6}:{(35,1),(36,1),(38,1),(44,1)}
      43:{1,2,6}:{(37,1),(38,1),(39,1)}
      44:{2,5,6}:{(41,1),(42,1)}

338 :  0:{1,2,4,5,6}:{(1,1),(9,1),(10,1),(11,1),(19,1)}
       1:{3,5,6}:{(0,1),(3,1),(24,1)}
       2:{2,3,4,6}:{(7,1),(8,1),(10,1),(22,1),(28,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(22,1),(28,1)}
       4:{1,3,5,6}:{(1,1),(9,1),(11,1),(18,1),(20,1),(22,1)}
       5:{2,3,5,6}:{(1,1),(7,1),(10,1),(11,1),(22,1),(27,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(24,1)}
       7:{2,3,5}:{(2,1),(13,1),(14,1),(24,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(25,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1),(25,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1),(29,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(23,1)}
      12:{1,4,5}:{(6,1),(9,1),(18,1)}
      13:{2,4,5}:{(6,1),(7,1),(10,1)}
      14:{1,2,5}:{(7,1),(8,1),(20,1)}
      15:{1,3,6}:{(8,1),(20,1),(22,1)}
      16:{1,3,4,6}:{(9,1),(18,1),(21,1),(22,1),(28,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(19,1),(22,1)}
      18:{1,3,5}:{(12,1),(16,1),(23,1),(24,1)}
      19:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(23,1),(24,1),(25,1),(29,1)}
      20:{1,3,5}:{(14,1),(15,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(16,1),(23,1),(26,1),(29,1)}
      22:{3,6}:{(17,1),(24,1)}
      23:{1,2,5}:{(18,1),(21,1),(27,1)}
      24:{3,5}:{(19,1),(22,1),(28,1)}
      25:{1,4}:{(20,1),(28,1)}
      26:{2,3,6}:{(21,1),(22,1),(27,1)}
      27:{2,3,5}:{(23,1),(24,1),(26,1),(29,1)}
      28:{3,4}:{(24,1),(25,1),(29,1)}
      29:{2,4}:{(27,1),(28,1)}

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

340 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(13,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(12,1),(13,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(7,1),(17,1),(18,1),(27,1)}
       3:{1,4,6}:{(0,1),(5,1),(8,1),(25,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(26,1)}
       5:{1,4,5}:{(3,1),(11,1)}
       6:{2,4,5}:{(4,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(13,1),(14,1),(15,1),(24,1),(28,1)}
       8:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(21,1)}
       9:{3,4,6}:{(4,1),(12,1),(13,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(7,1),(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      11:{3,5}:{(5,1),(8,1),(17,1)}
      12:{3,5}:{(6,1),(9,1),(18,1)}
      13:{3,6}:{(7,1),(16,1),(29,1)}
      14:{2,4,6}:{(8,1),(17,1),(20,1),(26,1)}
      15:{1,4,6}:{(9,1),(18,1),(19,1),(25,1)}
      16:{3,5}:{(10,1),(13,1),(21,1)}
      17:{2,5}:{(11,1),(14,1)}
      18:{1,5}:{(12,1),(15,1)}
      19:{1,3,6}:{(13,1),(15,1),(22,1),(24,1)}
      20:{2,3,6}:{(13,1),(14,1),(23,1),(24,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(18,1),(19,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(17,1),(20,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(19,1),(20,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

341 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(18,1)}
       1:{3,5,6}:{(0,1),(2,1),(24,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(16,1),(19,1),(25,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(14,1),(19,1),(26,1)}
       5:{3,4,5}:{(2,1),(11,1),(12,1),(24,1)}
       6:{1,4,6}:{(2,1),(3,1),(11,1),(28,1)}
       7:{2,4,6}:{(2,1),(4,1),(12,1),(29,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(22,1)}
       9:{2,3,4,6}:{(7,1),(14,1),(15,1),(19,1),(27,1)}
      10:{1,3,4,6}:{(6,1),(16,1),(17,1),(19,1),(27,1)}
      11:{1,4,5}:{(5,1),(6,1),(16,1)}
      12:{2,4,5}:{(5,1),(7,1),(14,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(18,1),(19,1)}
      14:{2,3,5}:{(9,1),(12,1),(20,1),(24,1)}
      15:{1,2,4,6}:{(9,1),(20,1),(21,1),(28,1)}
      16:{1,3,5}:{(10,1),(11,1),(22,1),(24,1)}
      17:{1,2,4,6}:{(10,1),(22,1),(23,1),(29,1)}
      18:{1,2,4,5}:{(11,1),(12,1),(13,1),(20,1),(22,1),(24,1),(28,1),(29,1)}
      19:{3,6}:{(13,1),(24,1)}
      20:{1,2,5}:{(14,1),(15,1),(25,1)}
      21:{1,3,6}:{(15,1),(19,1),(25,1)}
      22:{1,2,5}:{(16,1),(17,1),(26,1)}
      23:{2,3,6}:{(17,1),(19,1),(26,1)}
      24:{3,5}:{(18,1),(19,1),(27,1)}
      25:{1,3,5}:{(20,1),(21,1),(24,1),(28,1)}
      26:{2,3,5}:{(22,1),(23,1),(24,1),(29,1)}
      27:{3,4}:{(24,1),(28,1),(29,1)}
      28:{1,4}:{(25,1),(27,1)}
      29:{2,4}:{(26,1),(27,1)}

342 :  0:{2,4,5,6}:{(2,1),(15,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(15,1),(29,1),(32,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(7,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(25,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(26,1)}
       6:{3,4,6}:{(2,1),(3,1),(14,1),(15,1),(29,1)}
       7:{1,5,6}:{(2,1),(14,1)}
       8:{2,3,5,6}:{(2,1),(4,1),(15,1),(16,1),(29,1)}
       9:{1,4,5}:{(3,1),(14,1),(17,1)}
      10:{2,4,5}:{(3,1),(4,1),(15,1)}
      11:{1,2,5}:{(4,1),(5,1),(19,1)}
      12:{1,3,6}:{(5,1),(19,1),(29,1)}
      13:{1,3,4}:{(17,1),(20,1),(32,1)}
      14:{1,4,6}:{(6,1),(7,1),(9,1),(21,1)}
      15:{2,4,6}:{(6,1),(8,1),(10,1)}
      16:{1,2,5,6}:{(7,1),(8,1),(11,1),(22,1),(23,1),(39,1)}
      17:{1,3,5}:{(9,1),(13,1),(21,1),(24,1),(25,1)}
      18:{1,2,4,5}:{(9,1),(10,1),(11,1),(22,1),(24,1),(25,1),(26,1),(35,1),(36,1),(39,1)}
      19:{1,3,5}:{(11,1),(12,1),(25,1),(26,1)}
      20:{1,2,4}:{(13,1),(24,1),(27,1),(36,1)}
      21:{1,3,6}:{(14,1),(17,1),(28,1),(29,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(28,1),(29,1),(30,1),(37,1)}
      23:{1,3,5,6}:{(16,1),(19,1),(29,1),(30,1),(38,1)}
      24:{1,2,5}:{(17,1),(20,1),(28,1),(31,1)}
      25:{3,5}:{(18,1),(29,1),(32,1)}
      26:{1,4}:{(19,1),(32,1)}
      27:{2,3}:{(20,1)}
      28:{1,2,6}:{(21,1),(24,1),(33,1)}
      29:{3,6}:{(22,1),(25,1)}
      30:{1,4,6}:{(23,1),(26,1),(34,1),(35,1)}
      31:{2,3,5}:{(24,1),(25,1),(27,1),(33,1),(36,1),(39,1)}
      32:{3,4}:{(25,1),(26,1),(36,1)}
      33:{2,3,6}:{(28,1),(29,1),(31,1),(37,1)}
      34:{3,4,6}:{(29,1),(30,1),(32,1),(37,1),(38,1)}
      35:{1,4,5}:{(30,1),(38,1)}
      36:{2,4}:{(31,1),(32,1)}
      37:{2,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

343 :  0:{1,2,3,6}:{(2,1),(3,1),(28,1),(43,1)}
       1:{2,3,4,6}:{(2,1),(4,1),(13,1),(14,1),(28,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(20,1),(39,1),(40,1)}
       4:{2,3,5}:{(1,1),(6,1),(9,1),(20,1)}
       5:{1,3,4,6}:{(2,1),(10,1),(13,1),(26,1),(28,1)}
       6:{1,2,5}:{(2,1),(4,1),(10,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{2,3,5,6}:{(4,1),(11,1),(14,1),(25,1),(28,1)}
       9:{2,4,5}:{(4,1),(14,1),(15,1)}
      10:{1,3,5}:{(5,1),(6,1),(18,1),(20,1)}
      11:{1,2,5,6}:{(6,1),(8,1),(17,1),(19,1),(33,1),(44,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(9,1),(18,1),(19,1),(20,1),(24,1),(36,1),(39,1)}
      13:{3,4}:{(7,1),(20,1)}
      14:{2,4,6}:{(8,1),(9,1),(23,1)}
      15:{3,4,5}:{(9,1),(20,1),(23,1),(24,1)}
      16:{2,4,5,6}:{(14,1),(25,1)}
      17:{1,3,5,6}:{(10,1),(11,1),(26,1),(28,1),(41,1)}
      18:{1,4,5}:{(10,1),(26,1),(27,1)}
      19:{1,2,4,6}:{(11,1),(12,1),(14,1),(26,1),(28,1),(32,1),(42,1),(43,1)}
      20:{3,5}:{(12,1),(13,1),(28,1)}
      21:{1,3,4}:{(13,1),(29,1),(31,1)}
      22:{2,3,4}:{(13,1),(30,1),(31,1)}
      23:{3,4,6}:{(14,1),(15,1),(25,1),(28,1),(32,1)}
      24:{1,4,5}:{(15,1),(29,1),(32,1)}
      25:{3,5,6}:{(16,1),(23,1),(33,1)}
      26:{1,4,6}:{(17,1),(18,1),(35,1)}
      27:{3,4,5}:{(18,1),(20,1),(35,1),(36,1)}
      28:{3,6}:{(19,1),(20,1)}
      29:{1,3,5}:{(20,1),(21,1),(24,1),(37,1),(39,1)}
      30:{2,3,5}:{(20,1),(22,1),(36,1),(38,1),(39,1)}
      31:{1,2,4}:{(21,1),(22,1),(39,1),(40,1)}
      32:{1,4,6}:{(23,1),(24,1),(33,1),(37,1)}
      33:{1,5,6}:{(25,1),(32,1)}
      34:{1,4,5,6}:{(26,1),(41,1)}
      35:{3,4,6}:{(26,1),(27,1),(28,1),(41,1),(42,1)}
      36:{2,4,5}:{(27,1),(30,1),(42,1)}
      37:{1,3,6}:{(28,1),(29,1),(32,1),(43,1)}
      38:{2,3,6}:{(28,1),(30,1),(42,1),(43,1)}
      39:{1,2,5}:{(29,1),(30,1),(31,1),(43,1)}
      40:{1,2,3}:{(31,1)}
      41:{3,5,6}:{(34,1),(35,1),(44,1)}
      42:{2,4,6}:{(35,1),(36,1),(38,1),(44,1)}
      43:{1,2,6}:{(37,1),(38,1),(39,1)}
      44:{2,5,6}:{(41,1),(42,1)}

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

345 :  0:{2,3,4}:{(2,1),(3,1),(33,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(26,1),(44,1)}
       2:{2,3,5}:{(0,1),(8,1),(9,1),(10,1),(26,1)}
       3:{1,2,4}:{(0,1),(10,1),(11,1),(28,1)}
       4:{1,3,4}:{(12,1),(13,1),(33,1)}
       5:{4,5,6}:{(14,1),(41,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(32,1),(41,1)}
       7:{1,4,5}:{(1,1),(12,1),(15,1)}
       8:{2,4,5}:{(1,1),(2,1),(16,1)}
       9:{2,3,6}:{(2,1),(16,1),(18,1),(32,1)}
      10:{1,2,5}:{(2,1),(3,1),(18,1),(19,1)}
      11:{1,3}:{(3,1)}
      12:{1,3,5}:{(4,1),(7,1),(20,1),(21,1),(26,1)}
      13:{1,2,4}:{(4,1),(21,1),(22,1),(36,1)}
      14:{3,5,6}:{(5,1),(6,1),(23,1),(24,1)}
      15:{1,4,6}:{(6,1),(7,1),(20,1),(23,1)}
      16:{2,4,6}:{(6,1),(8,1),(9,1),(24,1)}
      17:{1,2,4,5}:{(7,1),(8,1),(10,1),(21,1),(25,1),(26,1),(28,1),(36,1),(39,1),(43,1),(44,1)}
      18:{1,2,6}:{(9,1),(10,1),(27,1)}
      19:{1,3,5}:{(10,1),(11,1),(26,1),(27,1),(28,1),(39,1)}
      20:{1,3,6}:{(12,1),(15,1),(29,1),(32,1)}
      21:{1,2,5}:{(12,1),(13,1),(29,1),(30,1)}
      22:{2,3}:{(13,1)}
      23:{1,5,6}:{(14,1),(15,1)}
      24:{2,5,6}:{(14,1),(16,1)}
      25:{1,2,4,6}:{(15,1),(16,1),(17,1),(18,1),(29,1),(31,1),(32,1),(34,1),(40,1),(41,1)}
      26:{3,5}:{(17,1),(32,1),(33,1)}
      27:{1,3,6}:{(18,1),(19,1),(32,1),(34,1)}
      28:{1,4}:{(19,1),(33,1)}
      29:{1,2,6}:{(20,1),(21,1),(35,1)}
      30:{2,3,5}:{(21,1),(22,1),(26,1),(35,1),(36,1),(43,1)}
      31:{1,2,5,6}:{(23,1),(24,1),(25,1),(37,1),(39,1),(43,1)}
      32:{3,6}:{(25,1),(26,1)}
      33:{3,4}:{(26,1),(28,1),(36,1)}
      34:{1,4,6}:{(27,1),(28,1),(38,1),(39,1)}
      35:{2,3,6}:{(29,1),(30,1),(32,1),(40,1)}
      36:{2,4}:{(30,1),(33,1)}
      37:{3,5,6}:{(31,1),(32,1),(41,1),(42,1)}
      38:{3,4,6}:{(32,1),(33,1),(34,1),(40,1),(41,1),(42,1)}
      39:{1,5}:{(34,1),(42,1)}
      40:{2,4,6}:{(35,1),(36,1),(38,1),(43,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{2,5}:{(40,1),(42,1)}
      44:{4,5}:{(41,1),(42,1)}

346 :  0:{1,3,4,5}:{(1,1),(2,1),(18,1),(38,1),(43,1)}
       1:{1,2,4,5}:{(0,1),(3,1),(4,1),(11,1),(30,1),(33,1)}
       2:{1,3,4,6}:{(0,1),(4,1),(5,1),(34,1)}
       3:{2,3,5}:{(1,1),(7,1),(8,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(8,1),(9,1),(24,1)}
       5:{1,3,5,6}:{(2,1),(9,1),(10,1),(25,1),(38,1)}
       6:{1,2,3,5}:{(3,1),(11,1),(12,1),(27,1),(30,1)}
       7:{2,3,4}:{(3,1),(11,1)}
       8:{2,3,6}:{(3,1),(4,1)}
       9:{1,2,5,6}:{(4,1),(5,1),(15,1),(30,1)}
      10:{1,4,5,6}:{(5,1),(17,1),(48,1)}
      11:{1,2,4}:{(6,1),(7,1),(18,1)}
      12:{1,2,3,6}:{(6,1),(8,1),(20,1),(37,1)}
      13:{2,3,4,5}:{(7,1),(19,1),(22,1),(23,1),(58,1)}
      14:{2,3,4,6}:{(7,1),(8,1),(20,1),(23,1),(24,1),(41,1)}
      15:{2,3,5,6}:{(8,1),(9,1),(23,1),(24,1),(25,1)}
      16:{1,2,4,5,6}:{(9,1),(10,1),(24,1),(25,1),(26,1),(40,1),(44,1),(46,1)}
      17:{3,4,5,6}:{(10,1),(25,1),(26,1),(58,1)}
      18:{1,3,4}:{(11,1),(27,1)}
      19:{1,2,4,5}:{(11,1),(13,1),(27,1),(29,1),(30,1),(48,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(14,1),(28,1),(30,1)}
      21:{1,2,3,5,6}:{(12,1),(15,1),(30,1),(31,1),(35,1),(47,1),(50,1),(70,1),(71,1),(72,1)}
      22:{2,3,4,6}:{(13,1),(29,1),(32,1),(66,1)}
      23:{2,3,5}:{(14,1),(30,1),(33,1),(50,1)}
      24:{2,4,6}:{(15,1),(33,1),(34,1)}
      25:{3,5,6}:{(16,1),(34,1),(50,1)}
      26:{2,4,5,6}:{(17,1),(36,1),(68,1)}
      27:{1,3,5}:{(18,1),(19,1),(37,1)}
      28:{1,3,4,6}:{(18,1),(20,1),(37,1),(38,1),(41,1),(57,1)}
      29:{1,2,4,6}:{(19,1),(22,1),(37,1),(39,1),(57,1)}
      30:{1,2,5}:{(20,1),(23,1),(38,1)}
      31:{1,2,4,6}:{(21,1),(24,1),(40,1),(41,1),(44,1),(57,1),(75,1)}
      32:{2,3,5,6}:{(22,1),(23,1),(39,1),(42,1),(59,1)}
      33:{2,4,5}:{(23,1),(24,1),(43,1)}
      34:{3,4,6}:{(24,1),(25,1),(43,1),(44,1)}
      35:{1,3,5,6}:{(25,1),(44,1),(46,1),(60,1),(65,1)}
      36:{2,3,5,6}:{(25,1),(26,1),(45,1),(46,1),(61,1)}
      37:{1,3,6}:{(27,1),(29,1)}
      38:{1,3,5}:{(28,1),(30,1),(48,1),(50,1)}
      39:{1,2,5,6}:{(29,1),(30,1),(32,1),(47,1)}
      40:{1,2,4,5}:{(30,1),(31,1),(33,1),(48,1),(50,1),(54,1),(68,1),(71,1)}
      41:{3,4,6}:{(31,1),(50,1)}
      42:{2,4,5,6}:{(32,1),(33,1),(53,1)}
      43:{3,4,5}:{(33,1),(34,1),(50,1),(54,1)}
      44:{1,4,6}:{(34,1),(35,1),(54,1)}
      45:{2,3,4,6}:{(34,1),(36,1),(55,1),(56,1)}
      46:{1,2,5,6}:{(35,1),(36,1),(56,1),(71,1)}
      47:{1,3,5,6}:{(37,1),(38,1),(39,1),(57,1),(59,1)}
      48:{1,4,5}:{(38,1),(57,1),(58,1)}
      49:{1,2,4,5,6}:{(39,1),(40,1),(42,1),(57,1),(59,1),(63,1),(75,1),(77,1)}
      50:{3,5}:{(40,1),(41,1)}
      51:{1,3,4,6}:{(41,1),(44,1),(60,1),(62,1),(65,1),(79,1)}
      52:{2,3,4,6}:{(41,1),(61,1),(62,1),(75,1),(83,1),(84,1)}
      53:{3,4,5,6}:{(42,1),(43,1),(59,1),(63,1)}
      54:{1,4,5}:{(43,1),(44,1),(60,1)}
      55:{2,3,4,5}:{(43,1),(45,1),(61,1),(64,1),(84,1)}
      56:{1,2,4,6}:{(44,1),(45,1),(46,1),(64,1),(65,1)}
      57:{1,4,6}:{(47,1),(48,1),(66,1)}
      58:{3,4,5}:{(48,1),(50,1),(66,1),(68,1)}
      59:{3,5,6}:{(49,1),(50,1),(66,1)}
      60:{1,3,5}:{(50,1),(51,1),(54,1),(71,1)}
      61:{2,3,5}:{(50,1),(52,1),(68,1),(71,1)}
      62:{1,2,4,6}:{(51,1),(52,1),(71,1),(72,1),(82,1)}
      63:{1,4,5,6}:{(53,1),(54,1),(69,1)}
      64:{1,2,4,5}:{(54,1),(55,1),(56,1),(71,1),(73,1),(82,1)}
      65:{1,3,6}:{(56,1),(73,1)}
      66:{3,4,6}:{(57,1),(58,1),(59,1),(75,1)}
      67:{1,3,4,5}:{(58,1),(60,1),(74,1),(76,1),(79,1)}
      68:{2,4,5}:{(58,1),(61,1),(75,1)}
      69:{1,3,5,6}:{(59,1),(60,1),(63,1),(74,1),(77,1)}
      70:{2,3,5,6}:{(59,1),(61,1),(75,1),(77,1),(83,1)}
      71:{1,2,5}:{(60,1),(61,1),(62,1)}
      72:{1,2,3,6}:{(62,1),(65,1),(78,1),(83,1)}
      73:{1,3,5}:{(64,1),(65,1),(79,1)}
      74:{1,3,4,6}:{(66,1),(67,1),(69,1),(80,1)}
      75:{2,4,6}:{(66,1),(68,1),(70,1)}
      76:{1,2,4,5}:{(67,1),(68,1),(71,1),(80,1),(81,1),(82,1)}
      77:{1,2,5,6}:{(69,1),(70,1),(71,1),(80,1)}
      78:{1,2,3,5}:{(71,1),(72,1),(73,1),(81,1),(82,1)}
      79:{1,3,4}:{(73,1),(82,1)}
      80:{1,2,4,6}:{(74,1),(75,1),(76,1),(77,1),(83,1)}
      81:{2,3,5}:{(76,1),(83,1),(84,1)}
      82:{1,2,4}:{(78,1),(79,1),(84,1)}
      83:{2,3,6}:{(80,1),(81,1)}
      84:{2,3,4}:{(81,1),(82,1)}

347 :  0:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(15,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(16,1),(17,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(20,1),(21,1),(22,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,5,6}:{(4,1),(5,1),(13,1)}
       9:{3,4,5}:{(5,1),(13,1),(16,1),(17,1),(26,1)}
      10:{1,3,5}:{(5,1),(6,1),(16,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(17,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,3,5,6}:{(8,1),(10,1),(20,1),(22,1),(28,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(28,1)}
      16:{1,4,5}:{(9,1),(10,1),(20,1)}
      17:{2,4,5}:{(9,1),(11,1),(21,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(18,1),(25,1)}
      23:{1,2,4,5}:{(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(23,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

348 :  0:{1,3,4,6}:{(3,1),(4,1),(6,1),(19,1),(28,1),(32,1)}
       1:{1,3,5,6}:{(4,1),(5,1),(6,1),(7,1),(19,1)}
       2:{1,4,5,6}:{(6,1),(7,1)}
       3:{1,2,4,6}:{(0,1),(8,1),(9,1),(21,1)}
       4:{1,3,5}:{(0,1),(9,1),(10,1),(22,1),(37,1)}
       5:{1,2,5,6}:{(1,1),(9,1),(11,1),(12,1),(14,1),(37,1)}
       6:{1,4,6}:{(1,1),(10,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1)}
       8:{2,3,6}:{(3,1),(15,1),(19,1)}
       9:{1,2,5}:{(3,1),(4,1),(15,1)}
      10:{1,4,5}:{(4,1),(6,1),(17,1)}
      11:{2,3,5,6}:{(5,1),(15,1),(18,1),(19,1),(31,1)}
      12:{1,2,4,6}:{(5,1),(6,1),(16,1),(18,1),(19,1),(20,1),(32,1),(33,1)}
      13:{3,4,6}:{(6,1),(7,1),(17,1),(19,1),(20,1)}
      14:{2,5,6}:{(7,1),(20,1)}
      15:{2,3,5}:{(8,1),(9,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(12,1),(21,1),(22,1),(23,1),(24,1),(34,1),(36,1),(37,1)}
      17:{3,4,5}:{(10,1),(13,1),(22,1),(23,1)}
      18:{2,4,6}:{(11,1),(21,1),(24,1),(25,1)}
      19:{3,6}:{(12,1),(22,1)}
      20:{2,4,6}:{(13,1),(14,1),(23,1),(27,1)}
      21:{2,4}:{(15,1),(28,1)}
      22:{3,5}:{(16,1),(19,1),(28,1)}
      23:{2,4,5}:{(17,1),(20,1),(30,1)}
      24:{2,4,5}:{(18,1),(31,1)}
      25:{3,4,6}:{(18,1),(19,1),(28,1),(31,1),(32,1)}
      26:{1,3,6}:{(19,1),(29,1),(32,1),(33,1)}
      27:{2,3,6}:{(19,1),(20,1),(30,1),(33,1)}
      28:{3,4}:{(21,1),(22,1),(34,1)}
      29:{1,3,5}:{(22,1),(26,1),(34,1),(36,1),(37,1),(39,1)}
      30:{2,3,5}:{(22,1),(23,1),(27,1),(35,1),(36,1)}
      31:{3,5}:{(24,1),(25,1),(37,1)}
      32:{1,4,6}:{(25,1),(26,1),(34,1),(37,1)}
      33:{1,2,6}:{(26,1),(27,1),(36,1)}
      34:{1,4}:{(28,1),(29,1)}
      35:{2,3,4}:{(28,1),(30,1),(38,1)}
      36:{1,2,5}:{(29,1),(30,1),(33,1),(38,1)}
      37:{1,5}:{(31,1),(32,1)}
      38:{1,2,4}:{(34,1),(35,1),(36,1),(39,1)}
      39:{1,3}:{(38,1)}

349 :  0:{2,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(5,1),(6,1),(18,1)}
       2:{2,3,5}:{(0,1),(6,1),(7,1),(19,1),(38,1)}
       3:{2,3,5,6}:{(2,1),(8,1),(9,1),(10,1),(22,1)}
       4:{2,4,5,6}:{(9,1),(10,1)}
       5:{1,3,6}:{(1,1),(11,1),(22,1)}
       6:{1,2,5}:{(1,1),(2,1),(11,1)}
       7:{2,4,5}:{(2,1),(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(6,1),(14,1),(15,1),(17,1),(38,1)}
       9:{2,4,6}:{(3,1),(7,1),(16,1)}
      10:{3,5,6}:{(4,1),(16,1),(17,1)}
      11:{1,3,5}:{(5,1),(6,1),(18,1),(19,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(15,1),(18,1),(19,1),(20,1),(27,1),(32,1),(33,1),(38,1)}
      13:{3,4,5}:{(7,1),(16,1),(19,1),(20,1)}
      14:{1,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(12,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(10,1),(13,1),(22,1),(23,1)}
      17:{1,5,6}:{(10,1),(23,1)}
      18:{1,4}:{(11,1),(24,1)}
      19:{3,5}:{(12,1),(22,1),(24,1)}
      20:{1,4,5}:{(13,1),(23,1),(25,1)}
      21:{1,4,6}:{(14,1),(18,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(19,1)}
      23:{1,4,6}:{(16,1),(17,1),(20,1),(29,1)}
      24:{3,4}:{(18,1),(19,1),(32,1)}
      25:{1,3,5}:{(19,1),(20,1),(29,1),(31,1),(33,1)}
      26:{2,3,5}:{(19,1),(30,1),(32,1),(33,1),(38,1),(39,1)}
      27:{1,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(23,1),(25,1),(36,1)}
      30:{2,3,6}:{(22,1),(26,1),(35,1),(36,1)}
      31:{1,3,4}:{(24,1),(25,1),(37,1)}
      32:{2,4}:{(24,1),(26,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(28,1),(30,1),(32,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,5}:{(34,1),(35,1)}
      39:{2,3}:{(37,1)}

350 :  0:{1,2,3,6}:{(2,1),(3,1),(31,1),(43,1)}
       1:{1,3,4,6}:{(3,1),(4,1),(11,1),(15,1),(31,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(18,1),(21,1),(37,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       4:{1,3,5}:{(1,1),(7,1),(8,1),(21,1)}
       5:{2,3,4,6}:{(3,1),(10,1),(11,1),(27,1),(31,1)}
       6:{1,2,4}:{(2,1),(11,1)}
       7:{1,2,5}:{(3,1),(4,1),(10,1)}
       8:{1,4,5}:{(4,1),(14,1),(15,1)}
       9:{1,3,5,6}:{(4,1),(13,1),(15,1),(31,1),(32,1)}
      10:{2,3,5}:{(5,1),(7,1),(16,1),(21,1)}
      11:{3,4}:{(6,1),(21,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(8,1),(16,1),(21,1),(22,1),(24,1),(35,1),(37,1)}
      13:{1,2,5,6}:{(7,1),(9,1),(17,1),(22,1),(40,1),(44,1)}
      14:{3,4,5}:{(8,1),(21,1),(24,1),(25,1)}
      15:{1,4,6}:{(8,1),(9,1),(25,1)}
      16:{2,4,5}:{(10,1),(26,1),(27,1)}
      17:{2,3,5,6}:{(10,1),(13,1),(27,1),(31,1),(41,1)}
      18:{1,2,3}:{(28,1)}
      19:{2,3,4}:{(11,1),(28,1),(29,1)}
      20:{1,3,4}:{(11,1),(28,1),(30,1)}
      21:{3,5}:{(11,1),(12,1),(31,1)}
      22:{1,2,4,6}:{(12,1),(13,1),(15,1),(27,1),(31,1),(33,1),(42,1),(43,1)}
      23:{1,4,5,6}:{(15,1),(32,1)}
      24:{2,4,5}:{(14,1),(29,1),(33,1)}
      25:{3,4,6}:{(14,1),(15,1),(31,1),(32,1),(33,1)}
      26:{3,4,5}:{(16,1),(21,1),(35,1),(36,1)}
      27:{2,4,6}:{(16,1),(17,1),(36,1)}
      28:{1,2,4}:{(18,1),(19,1),(20,1),(37,1)}
      29:{2,3,5}:{(19,1),(21,1),(24,1),(37,1),(38,1)}
      30:{1,3,5}:{(20,1),(21,1),(35,1),(37,1),(39,1)}
      31:{3,6}:{(21,1),(22,1)}
      32:{3,5,6}:{(23,1),(25,1),(40,1)}
      33:{2,4,6}:{(24,1),(25,1),(38,1),(40,1)}
      34:{2,4,5,6}:{(27,1),(41,1)}
      35:{1,4,5}:{(26,1),(30,1),(42,1)}
      36:{3,4,6}:{(26,1),(27,1),(31,1),(41,1),(42,1)}
      37:{1,2,5}:{(28,1),(29,1),(30,1),(43,1)}
      38:{2,3,6}:{(29,1),(31,1),(33,1),(43,1)}
      39:{1,3,6}:{(30,1),(31,1),(42,1),(43,1)}
      40:{2,5,6}:{(32,1),(33,1)}
      41:{3,5,6}:{(34,1),(36,1),(44,1)}
      42:{1,4,6}:{(35,1),(36,1),(39,1),(44,1)}
      43:{1,2,6}:{(37,1),(38,1),(39,1)}
      44:{1,5,6}:{(41,1),(42,1)}

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

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

353 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(13,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(12,1),(13,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(7,1),(17,1),(18,1),(27,1)}
       3:{1,4,6}:{(0,1),(5,1),(8,1),(25,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(26,1)}
       5:{1,4,5}:{(3,1),(11,1)}
       6:{2,4,5}:{(4,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(13,1),(14,1),(15,1),(24,1),(28,1)}
       8:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(21,1)}
       9:{3,4,6}:{(4,1),(12,1),(13,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(7,1),(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      11:{3,5}:{(5,1),(8,1),(17,1)}
      12:{3,5}:{(6,1),(9,1),(18,1)}
      13:{3,6}:{(7,1),(16,1),(29,1)}
      14:{2,4,6}:{(8,1),(17,1),(20,1),(26,1)}
      15:{1,4,6}:{(9,1),(18,1),(19,1),(25,1)}
      16:{3,5}:{(10,1),(13,1),(21,1)}
      17:{2,5}:{(11,1),(14,1)}
      18:{1,5}:{(12,1),(15,1)}
      19:{1,3,6}:{(13,1),(15,1),(22,1),(24,1)}
      20:{2,3,6}:{(13,1),(14,1),(23,1),(24,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(18,1),(19,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(17,1),(20,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(19,1),(20,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

354 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(18,1)}
       1:{3,5,6}:{(0,1),(2,1),(24,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(16,1),(19,1),(25,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(14,1),(19,1),(26,1)}
       5:{3,4,5}:{(2,1),(11,1),(12,1),(24,1)}
       6:{1,4,6}:{(2,1),(3,1),(11,1),(28,1)}
       7:{2,4,6}:{(2,1),(4,1),(12,1),(29,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(22,1)}
       9:{2,3,4,6}:{(7,1),(14,1),(15,1),(19,1),(27,1)}
      10:{1,3,4,6}:{(6,1),(16,1),(17,1),(19,1),(27,1)}
      11:{1,4,5}:{(5,1),(6,1),(16,1)}
      12:{2,4,5}:{(5,1),(7,1),(14,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(18,1),(19,1)}
      14:{2,3,5}:{(9,1),(12,1),(20,1),(24,1)}
      15:{1,2,4,6}:{(9,1),(20,1),(21,1),(28,1)}
      16:{1,3,5}:{(10,1),(11,1),(22,1),(24,1)}
      17:{1,2,4,6}:{(10,1),(22,1),(23,1),(29,1)}
      18:{1,2,4,5}:{(11,1),(12,1),(13,1),(20,1),(22,1),(24,1),(28,1),(29,1)}
      19:{3,6}:{(13,1),(24,1)}
      20:{1,2,5}:{(14,1),(15,1),(25,1)}
      21:{1,3,6}:{(15,1),(19,1),(25,1)}
      22:{1,2,5}:{(16,1),(17,1),(26,1)}
      23:{2,3,6}:{(17,1),(19,1),(26,1)}
      24:{3,5}:{(18,1),(19,1),(27,1)}
      25:{1,3,5}:{(20,1),(21,1),(24,1),(28,1)}
      26:{2,3,5}:{(22,1),(23,1),(24,1),(29,1)}
      27:{3,4}:{(24,1),(28,1),(29,1)}
      28:{1,4}:{(25,1),(27,1)}
      29:{2,4}:{(26,1),(27,1)}

355 :  0:{1,4,5,6}:{(2,1),(14,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(14,1),(29,1),(32,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(25,1)}
       4:{1,3,5}:{(1,1),(9,1),(11,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(26,1)}
       6:{3,4,6}:{(2,1),(3,1),(14,1),(15,1),(29,1)}
       7:{1,3,5,6}:{(2,1),(4,1),(14,1),(16,1),(29,1)}
       8:{2,5,6}:{(2,1),(15,1)}
       9:{1,4,5}:{(3,1),(4,1),(14,1)}
      10:{2,4,5}:{(3,1),(15,1),(17,1)}
      11:{1,2,5}:{(4,1),(5,1),(19,1)}
      12:{2,3,6}:{(5,1),(19,1),(29,1)}
      13:{2,3,4}:{(17,1),(20,1),(32,1)}
      14:{1,4,6}:{(6,1),(7,1),(9,1)}
      15:{2,4,6}:{(6,1),(8,1),(10,1),(21,1)}
      16:{1,2,5,6}:{(7,1),(8,1),(11,1),(22,1),(23,1),(39,1)}
      17:{2,3,5}:{(10,1),(13,1),(21,1),(24,1),(25,1)}
      18:{1,2,4,5}:{(9,1),(10,1),(11,1),(22,1),(24,1),(25,1),(26,1),(35,1),(36,1),(39,1)}
      19:{2,3,5}:{(11,1),(12,1),(25,1),(26,1)}
      20:{1,2,4}:{(13,1),(24,1),(27,1),(36,1)}
      21:{2,3,6}:{(15,1),(17,1),(28,1),(29,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(28,1),(29,1),(30,1),(37,1)}
      23:{2,3,5,6}:{(16,1),(19,1),(29,1),(30,1),(38,1)}
      24:{1,2,5}:{(17,1),(20,1),(28,1),(31,1)}
      25:{3,5}:{(18,1),(29,1),(32,1)}
      26:{2,4}:{(19,1),(32,1)}
      27:{1,3}:{(20,1)}
      28:{1,2,6}:{(21,1),(24,1),(33,1)}
      29:{3,6}:{(22,1),(25,1)}
      30:{2,4,6}:{(23,1),(26,1),(34,1),(35,1)}
      31:{1,3,5}:{(24,1),(25,1),(27,1),(33,1),(36,1),(39,1)}
      32:{3,4}:{(25,1),(26,1),(36,1)}
      33:{1,3,6}:{(28,1),(29,1),(31,1),(37,1)}
      34:{3,4,6}:{(29,1),(30,1),(32,1),(37,1),(38,1)}
      35:{2,4,5}:{(30,1),(38,1)}
      36:{1,4}:{(31,1),(32,1)}
      37:{1,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

356 :  0:{1,2,3,6}:{(2,1),(3,1),(28,1),(43,1)}
       1:{1,3,4,6}:{(2,1),(4,1),(13,1),(14,1),(28,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(20,1),(39,1),(40,1)}
       4:{1,3,5}:{(1,1),(6,1),(9,1),(20,1)}
       5:{2,3,4,6}:{(2,1),(10,1),(13,1),(26,1),(28,1)}
       6:{1,2,5}:{(2,1),(4,1),(10,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{1,3,5,6}:{(4,1),(11,1),(14,1),(25,1),(28,1)}
       9:{1,4,5}:{(4,1),(14,1),(15,1)}
      10:{2,3,5}:{(5,1),(6,1),(18,1),(20,1)}
      11:{1,2,5,6}:{(6,1),(8,1),(17,1),(19,1),(33,1),(44,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(9,1),(18,1),(19,1),(20,1),(24,1),(36,1),(39,1)}
      13:{3,4}:{(7,1),(20,1)}
      14:{1,4,6}:{(8,1),(9,1),(23,1)}
      15:{3,4,5}:{(9,1),(20,1),(23,1),(24,1)}
      16:{1,4,5,6}:{(14,1),(25,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(26,1),(28,1),(41,1)}
      18:{2,4,5}:{(10,1),(26,1),(27,1)}
      19:{1,2,4,6}:{(11,1),(12,1),(14,1),(26,1),(28,1),(32,1),(42,1),(43,1)}
      20:{3,5}:{(12,1),(13,1),(28,1)}
      21:{1,3,4}:{(13,1),(29,1),(31,1)}
      22:{2,3,4}:{(13,1),(30,1),(31,1)}
      23:{3,4,6}:{(14,1),(15,1),(25,1),(28,1),(32,1)}
      24:{2,4,5}:{(15,1),(30,1),(32,1)}
      25:{3,5,6}:{(16,1),(23,1),(33,1)}
      26:{2,4,6}:{(17,1),(18,1),(35,1)}
      27:{3,4,5}:{(18,1),(20,1),(35,1),(36,1)}
      28:{3,6}:{(19,1),(20,1)}
      29:{1,3,5}:{(20,1),(21,1),(36,1),(37,1),(39,1)}
      30:{2,3,5}:{(20,1),(22,1),(24,1),(38,1),(39,1)}
      31:{1,2,4}:{(21,1),(22,1),(39,1),(40,1)}
      32:{2,4,6}:{(23,1),(24,1),(33,1),(38,1)}
      33:{2,5,6}:{(25,1),(32,1)}
      34:{2,4,5,6}:{(26,1),(41,1)}
      35:{3,4,6}:{(26,1),(27,1),(28,1),(41,1),(42,1)}
      36:{1,4,5}:{(27,1),(29,1),(42,1)}
      37:{1,3,6}:{(28,1),(29,1),(42,1),(43,1)}
      38:{2,3,6}:{(28,1),(30,1),(32,1),(43,1)}
      39:{1,2,5}:{(29,1),(30,1),(31,1),(43,1)}
      40:{1,2,3}:{(31,1)}
      41:{3,5,6}:{(34,1),(35,1),(44,1)}
      42:{1,4,6}:{(35,1),(36,1),(37,1),(44,1)}
      43:{1,2,6}:{(37,1),(38,1),(39,1)}
      44:{1,5,6}:{(41,1),(42,1)}

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

358 :  0:{1,3,4}:{(2,1),(3,1),(33,1)}
       1:{3,4,5}:{(6,1),(7,1),(8,1),(26,1),(44,1)}
       2:{1,3,5}:{(0,1),(7,1),(9,1),(10,1),(26,1)}
       3:{1,2,4}:{(0,1),(10,1),(11,1),(28,1)}
       4:{2,3,4}:{(12,1),(13,1),(33,1)}
       5:{4,5,6}:{(14,1),(41,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1),(16,1),(32,1),(41,1)}
       7:{1,4,5}:{(1,1),(2,1),(15,1)}
       8:{2,4,5}:{(1,1),(12,1),(16,1)}
       9:{1,3,6}:{(2,1),(15,1),(18,1),(32,1)}
      10:{1,2,5}:{(2,1),(3,1),(18,1),(19,1)}
      11:{2,3}:{(3,1)}
      12:{2,3,5}:{(4,1),(8,1),(20,1),(21,1),(26,1)}
      13:{1,2,4}:{(4,1),(21,1),(22,1),(36,1)}
      14:{3,5,6}:{(5,1),(6,1),(23,1),(24,1)}
      15:{1,4,6}:{(6,1),(7,1),(9,1),(23,1)}
      16:{2,4,6}:{(6,1),(8,1),(20,1),(24,1)}
      17:{1,2,4,5}:{(7,1),(8,1),(10,1),(21,1),(25,1),(26,1),(28,1),(36,1),(39,1),(43,1),(44,1)}
      18:{1,2,6}:{(9,1),(10,1),(27,1)}
      19:{2,3,5}:{(10,1),(11,1),(26,1),(27,1),(28,1),(39,1)}
      20:{2,3,6}:{(12,1),(16,1),(29,1),(32,1)}
      21:{1,2,5}:{(12,1),(13,1),(29,1),(30,1)}
      22:{1,3}:{(13,1)}
      23:{1,5,6}:{(14,1),(15,1)}
      24:{2,5,6}:{(14,1),(16,1)}
      25:{1,2,4,6}:{(15,1),(16,1),(17,1),(18,1),(29,1),(31,1),(32,1),(34,1),(40,1),(41,1)}
      26:{3,5}:{(17,1),(32,1),(33,1)}
      27:{2,3,6}:{(18,1),(19,1),(32,1),(34,1)}
      28:{2,4}:{(19,1),(33,1)}
      29:{1,2,6}:{(20,1),(21,1),(35,1)}
      30:{1,3,5}:{(21,1),(22,1),(26,1),(35,1),(36,1),(43,1)}
      31:{1,2,5,6}:{(23,1),(24,1),(25,1),(37,1),(39,1),(43,1)}
      32:{3,6}:{(25,1),(26,1)}
      33:{3,4}:{(26,1),(28,1),(36,1)}
      34:{2,4,6}:{(27,1),(28,1),(38,1),(39,1)}
      35:{1,3,6}:{(29,1),(30,1),(32,1),(40,1)}
      36:{1,4}:{(30,1),(33,1)}
      37:{3,5,6}:{(31,1),(32,1),(41,1),(42,1)}
      38:{3,4,6}:{(32,1),(33,1),(34,1),(40,1),(41,1),(42,1)}
      39:{2,5}:{(34,1),(42,1)}
      40:{1,4,6}:{(35,1),(36,1),(38,1),(43,1)}
      41:{4,6}:{(37,1),(44,1)}
      42:{3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{1,5}:{(40,1),(42,1)}
      44:{4,5}:{(41,1),(42,1)}

359 :  0:{1,4,5,6}:{(2,1),(13,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(13,1),(27,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{1,3,5}:{(1,1),(9,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(27,1)}
       7:{1,3,5,6}:{(2,1),(4,1),(13,1),(15,1),(27,1)}
       8:{2,5,6}:{(2,1),(14,1)}
       9:{1,4,5}:{(3,1),(4,1),(13,1)}
      10:{2,4,5}:{(3,1),(14,1),(16,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{2,3,6}:{(5,1),(18,1),(27,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1),(19,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(20,1),(21,1),(39,1)}
      16:{2,3,5}:{(10,1),(19,1),(22,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(20,1),(23,1),(24,1),(25,1),(34,1),(36,1),(39,1)}
      18:{2,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{2,3,6}:{(14,1),(16,1),(26,1),(27,1)}
      20:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      21:{2,3,5,6}:{(15,1),(18,1),(27,1),(28,1),(38,1)}
      22:{2,3,4}:{(16,1),(29,1),(31,1)}
      23:{1,2,5}:{(16,1),(26,1),(29,1),(30,1)}
      24:{3,5}:{(17,1),(27,1),(31,1)}
      25:{2,4}:{(18,1),(31,1)}
      26:{1,2,6}:{(19,1),(23,1),(32,1)}
      27:{3,6}:{(20,1),(24,1)}
      28:{2,4,6}:{(21,1),(25,1),(33,1),(34,1)}
      29:{1,2,4}:{(22,1),(23,1),(35,1),(36,1)}
      30:{1,3,5}:{(23,1),(24,1),(32,1),(35,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{1,3,6}:{(26,1),(27,1),(30,1),(37,1)}
      33:{3,4,6}:{(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{2,4,5}:{(28,1),(38,1)}
      35:{1,3}:{(29,1)}
      36:{1,4}:{(30,1),(31,1)}
      37:{1,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{3,5}:{(33,1),(34,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

360 :  0:{2,4,5,6}:{(2,1),(14,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(14,1),(27,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(7,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(27,1)}
       7:{1,5,6}:{(2,1),(13,1)}
       8:{2,3,5,6}:{(2,1),(4,1),(14,1),(15,1),(27,1)}
       9:{1,4,5}:{(3,1),(13,1),(16,1)}
      10:{2,4,5}:{(3,1),(4,1),(14,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,3,6}:{(5,1),(18,1),(27,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1),(19,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(20,1),(21,1),(39,1)}
      16:{1,3,5}:{(9,1),(19,1),(22,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(20,1),(23,1),(24,1),(25,1),(34,1),(36,1),(39,1)}
      18:{1,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{1,3,6}:{(13,1),(16,1),(26,1),(27,1)}
      20:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      21:{1,3,5,6}:{(15,1),(18,1),(27,1),(28,1),(38,1)}
      22:{1,3,4}:{(16,1),(29,1),(31,1)}
      23:{1,2,5}:{(16,1),(26,1),(29,1),(30,1)}
      24:{3,5}:{(17,1),(27,1),(31,1)}
      25:{1,4}:{(18,1),(31,1)}
      26:{1,2,6}:{(19,1),(23,1),(32,1)}
      27:{3,6}:{(20,1),(24,1)}
      28:{1,4,6}:{(21,1),(25,1),(33,1),(34,1)}
      29:{1,2,4}:{(22,1),(23,1),(35,1),(36,1)}
      30:{2,3,5}:{(23,1),(24,1),(32,1),(35,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{2,3,6}:{(26,1),(27,1),(30,1),(37,1)}
      33:{3,4,6}:{(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{1,4,5}:{(28,1),(38,1)}
      35:{2,3}:{(29,1)}
      36:{2,4}:{(30,1),(31,1)}
      37:{2,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{3,5}:{(33,1),(34,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

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

362 :  0:{1,2,3,5,6}:{(1,1),(5,1),(16,1),(17,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(14,1),(15,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(9,1),(20,1),(21,1),(23,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,4,5}:{(5,1),(13,1),(14,1),(15,1),(26,1)}
       9:{3,5,6}:{(4,1),(5,1),(13,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(15,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,4,5}:{(8,1),(10,1),(20,1)}
      15:{2,4,5}:{(8,1),(11,1),(21,1)}
      16:{1,3,5,6}:{(9,1),(10,1),(20,1),(23,1),(28,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(21,1),(23,1),(28,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(18,1),(25,1),(26,1),(27,1)}
      23:{1,2,5,6}:{(16,1),(17,1),(18,1),(25,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(22,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

363 :  0:{2,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(17,1)}
       2:{2,3,5}:{(0,1),(5,1),(6,1),(18,1),(38,1)}
       3:{2,3,5,6}:{(2,1),(8,1),(9,1),(13,1),(22,1)}
       4:{1,3,6}:{(1,1),(10,1),(22,1)}
       5:{1,2,5}:{(1,1),(2,1),(10,1)}
       6:{2,4,5}:{(2,1),(9,1),(12,1)}
       7:{2,4,5,6}:{(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(5,1),(14,1),(15,1),(20,1),(38,1)}
       9:{2,4,6}:{(3,1),(6,1),(16,1)}
      10:{1,3,5}:{(4,1),(5,1),(17,1),(18,1)}
      11:{1,2,4,5}:{(5,1),(6,1),(15,1),(17,1),(18,1),(19,1),(27,1),(32,1),(33,1),(38,1)}
      12:{3,4,5}:{(6,1),(16,1),(18,1),(19,1)}
      13:{3,5,6}:{(7,1),(16,1),(20,1)}
      14:{1,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(11,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(12,1),(13,1),(22,1),(23,1)}
      17:{1,4}:{(10,1),(24,1)}
      18:{3,5}:{(11,1),(22,1),(24,1)}
      19:{1,4,5}:{(12,1),(23,1),(25,1)}
      20:{1,5,6}:{(13,1),(23,1)}
      21:{1,4,6}:{(14,1),(17,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(18,1)}
      23:{1,4,6}:{(16,1),(19,1),(20,1),(29,1)}
      24:{3,4}:{(17,1),(18,1),(32,1)}
      25:{1,3,5}:{(18,1),(19,1),(29,1),(31,1),(33,1)}
      26:{2,3,5}:{(18,1),(30,1),(32,1),(33,1),(38,1),(39,1)}
      27:{1,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(23,1),(25,1),(36,1)}
      30:{2,3,6}:{(22,1),(26,1),(35,1),(36,1)}
      31:{1,3,4}:{(24,1),(25,1),(37,1)}
      32:{2,4}:{(24,1),(26,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(28,1),(30,1),(32,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,5}:{(34,1),(35,1)}
      39:{2,3}:{(37,1)}

364 :  0:{1,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(17,1)}
       2:{1,3,5}:{(0,1),(5,1),(6,1),(18,1),(38,1)}
       3:{1,3,5,6}:{(2,1),(8,1),(9,1),(13,1),(22,1)}
       4:{2,3,6}:{(1,1),(10,1),(22,1)}
       5:{1,2,5}:{(1,1),(2,1),(10,1)}
       6:{1,4,5}:{(2,1),(9,1),(12,1)}
       7:{1,4,5,6}:{(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(5,1),(14,1),(15,1),(20,1),(38,1)}
       9:{1,4,6}:{(3,1),(6,1),(16,1)}
      10:{2,3,5}:{(4,1),(5,1),(17,1),(18,1)}
      11:{1,2,4,5}:{(5,1),(6,1),(15,1),(17,1),(18,1),(19,1),(27,1),(31,1),(33,1),(38,1)}
      12:{3,4,5}:{(6,1),(16,1),(18,1),(19,1)}
      13:{3,5,6}:{(7,1),(16,1),(20,1)}
      14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(11,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(12,1),(13,1),(22,1),(23,1)}
      17:{2,4}:{(10,1),(24,1)}
      18:{3,5}:{(11,1),(22,1),(24,1)}
      19:{2,4,5}:{(12,1),(23,1),(26,1)}
      20:{2,5,6}:{(13,1),(23,1)}
      21:{2,4,6}:{(14,1),(17,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(18,1)}
      23:{2,4,6}:{(16,1),(19,1),(20,1),(30,1)}
      24:{3,4}:{(17,1),(18,1),(31,1)}
      25:{1,3,5}:{(18,1),(29,1),(31,1),(33,1),(38,1),(39,1)}
      26:{2,3,5}:{(18,1),(19,1),(30,1),(32,1),(33,1)}
      27:{2,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(25,1),(35,1),(36,1)}
      30:{2,3,6}:{(22,1),(23,1),(26,1),(36,1)}
      31:{1,4}:{(24,1),(25,1)}
      32:{2,3,4}:{(24,1),(26,1),(37,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(28,1),(29,1),(31,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(37,1)}

365 :  0:{1,2,3,5}:{(2,1),(4,1),(6,1),(7,1),(22,1),(25,1),(28,1),(29,1)}
       1:{3,4,5}:{(8,1),(9,1),(10,1),(28,1),(47,1)}
       2:{1,2,3}:{(11,1)}
       3:{2,3,4}:{(11,1),(12,1),(15,1)}
       4:{1,2,3}:{(13,1)}
       5:{1,3,4}:{(13,1),(14,1),(15,1)}
       6:{1,2,3,6}:{(0,1),(16,1),(35,1),(37,1),(40,1)}
       7:{1,2,4}:{(0,1),(15,1)}
       8:{2,4,5}:{(1,1),(12,1),(18,1)}
       9:{1,4,5}:{(1,1),(14,1),(19,1)}
      10:{3,4,6}:{(1,1),(18,1),(19,1),(20,1),(40,1),(52,1)}
      11:{1,2,4}:{(2,1),(3,1),(21,1),(22,1)}
      12:{2,3,5}:{(3,1),(8,1),(22,1),(23,1),(28,1)}
      13:{1,2,4}:{(4,1),(5,1),(24,1),(25,1)}
      14:{1,3,5}:{(5,1),(9,1),(25,1),(26,1),(28,1)}
      15:{3,4}:{(7,1),(28,1)}
      16:{1,2,4,6}:{(6,1),(7,1),(27,1),(29,1)}
      17:{1,2,4,5}:{(7,1),(8,1),(9,1),(22,1),(25,1),(28,1),(29,1),(30,1),(42,1),(44,1),(47,1)}
      18:{2,4,6}:{(8,1),(10,1),(23,1),(31,1)}
      19:{1,4,6}:{(9,1),(10,1),(26,1),(32,1)}
      20:{3,5,6}:{(10,1),(31,1),(32,1),(33,1)}
      21:{1,3,4}:{(11,1),(15,1),(34,1)}
      22:{1,2,5}:{(11,1),(12,1),(34,1),(35,1)}
      23:{2,3,6}:{(12,1),(18,1),(35,1),(40,1)}
      24:{2,3,4}:{(13,1),(15,1),(36,1)}
      25:{1,2,5}:{(13,1),(14,1),(36,1),(37,1)}
      26:{1,3,6}:{(14,1),(19,1),(37,1),(40,1)}
      27:{3,4,6}:{(15,1),(16,1),(39,1),(40,1),(52,1)}
      28:{3,5}:{(15,1),(17,1),(40,1)}
      29:{1,2,5}:{(16,1),(39,1)}
      30:{1,2,4,6}:{(17,1),(18,1),(19,1),(35,1),(37,1),(40,1),(41,1),(49,1),(50,1),(52,1)}
      31:{2,5,6}:{(18,1),(20,1)}
      32:{1,5,6}:{(19,1),(20,1)}
      33:{4,5,6}:{(20,1),(52,1)}
      34:{1,3,5}:{(21,1),(22,1),(28,1),(42,1),(43,1)}
      35:{1,2,6}:{(22,1),(23,1),(43,1)}
      36:{2,3,5}:{(24,1),(25,1),(28,1),(44,1),(45,1)}
      37:{1,2,6}:{(25,1),(26,1),(45,1)}
      38:{3,4,5}:{(28,1),(42,1),(44,1),(46,1),(47,1)}
      39:{3,5}:{(27,1),(29,1),(47,1)}
      40:{3,6}:{(28,1),(30,1)}
      41:{1,2,5,6}:{(29,1),(30,1),(31,1),(32,1),(48,1),(53,1),(54,1)}
      42:{1,4,5}:{(34,1),(38,1),(49,1)}
      43:{1,3,6}:{(34,1),(35,1),(40,1),(49,1)}
      44:{2,4,5}:{(36,1),(38,1),(50,1)}
      45:{2,3,6}:{(36,1),(37,1),(40,1),(50,1)}
      46:{3,4,6}:{(38,1),(40,1),(49,1),(50,1),(51,1),(52,1)}
      47:{4,5}:{(39,1),(52,1)}
      48:{3,5,6}:{(39,1),(40,1),(41,1),(52,1)}
      49:{1,4,6}:{(42,1),(43,1),(46,1),(53,1)}
      50:{2,4,6}:{(44,1),(45,1),(46,1),(54,1)}
      51:{3,5,6}:{(46,1),(53,1),(54,1),(55,1)}
      52:{4,6}:{(47,1),(48,1)}
      53:{1,5,6}:{(49,1),(51,1)}
      54:{2,5,6}:{(50,1),(51,1)}
      55:{4,5,6}:{(51,1),(52,1)}

366 :  0:{3,4,5}:{(4,1),(5,1),(6,1),(24,1),(44,1)}
       1:{2,3,4}:{(7,1),(8,1),(31,1)}
       2:{1,3,4}:{(9,1),(10,1),(31,1)}
       3:{4,5,6}:{(11,1),(40,1)}
       4:{3,4,6}:{(0,1),(11,1),(12,1),(13,1),(30,1),(40,1)}
       5:{1,4,5}:{(0,1),(9,1),(12,1)}
       6:{2,4,5}:{(0,1),(7,1),(13,1)}
       7:{2,3,5}:{(1,1),(6,1),(15,1),(16,1),(24,1)}
       8:{1,2,4}:{(1,1),(16,1),(17,1),(33,1)}
       9:{1,3,5}:{(2,1),(5,1),(18,1),(19,1),(24,1)}
      10:{1,2,4}:{(2,1),(19,1),(20,1),(35,1)}
      11:{3,5,6}:{(3,1),(4,1),(21,1),(22,1)}
      12:{1,4,6}:{(4,1),(5,1),(18,1),(21,1)}
      13:{2,4,6}:{(4,1),(6,1),(15,1),(22,1)}
      14:{1,2,4,5}:{(5,1),(6,1),(16,1),(19,1),(23,1),(24,1),(33,1),(35,1),(42,1),(43,1),(44,1)}
      15:{2,3,6}:{(7,1),(13,1),(25,1),(30,1)}
      16:{1,2,5}:{(7,1),(8,1),(25,1),(26,1)}
      17:{1,3}:{(8,1)}
      18:{1,3,6}:{(9,1),(12,1),(27,1),(30,1)}
      19:{1,2,5}:{(9,1),(10,1),(27,1),(28,1)}
      20:{2,3}:{(10,1)}
      21:{1,5,6}:{(11,1),(12,1)}
      22:{2,5,6}:{(11,1),(13,1)}
      23:{1,2,4,6}:{(12,1),(13,1),(14,1),(25,1),(27,1),(29,1),(30,1),(38,1),(39,1),(40,1)}
      24:{3,5}:{(14,1),(30,1),(31,1)}
      25:{1,2,6}:{(15,1),(16,1),(32,1)}
      26:{1,3,5}:{(16,1),(17,1),(24,1),(32,1),(33,1),(42,1)}
      27:{1,2,6}:{(18,1),(19,1),(34,1)}
      28:{2,3,5}:{(19,1),(20,1),(24,1),(34,1),(35,1),(43,1)}
      29:{1,2,5,6}:{(21,1),(22,1),(23,1),(36,1),(42,1),(43,1)}
      30:{3,6}:{(23,1),(24,1)}
      31:{3,4}:{(24,1),(33,1),(35,1)}
      32:{1,3,6}:{(25,1),(26,1),(30,1),(38,1)}
      33:{1,4}:{(26,1),(31,1)}
      34:{2,3,6}:{(27,1),(28,1),(30,1),(39,1)}
      35:{2,4}:{(28,1),(31,1)}
      36:{3,5,6}:{(29,1),(30,1),(40,1),(41,1)}
      37:{3,4,6}:{(30,1),(31,1),(38,1),(39,1),(40,1),(41,1)}
      38:{1,4,6}:{(32,1),(33,1),(37,1),(42,1)}
      39:{2,4,6}:{(34,1),(35,1),(37,1),(43,1)}
      40:{4,6}:{(36,1),(44,1)}
      41:{3,5}:{(37,1),(42,1),(43,1),(44,1)}
      42:{1,5}:{(38,1),(41,1)}
      43:{2,5}:{(39,1),(41,1)}
      44:{4,5}:{(40,1),(41,1)}

367 :  0:{1,2,3,6}:{(1,1),(2,1),(23,1),(39,1)}
       1:{1,2,3,5}:{(0,1),(4,1),(5,1),(12,1),(15,1),(30,1)}
       2:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1)}
       3:{3,4,6}:{(2,1),(6,1),(7,1),(19,1),(23,1)}
       4:{1,2,4}:{(1,1),(7,1)}
       5:{1,2,5}:{(2,1),(6,1)}
       6:{3,5}:{(3,1),(5,1),(10,1)}
       7:{3,4}:{(4,1),(15,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(10,1),(15,1),(16,1),(27,1),(28,1),(30,1)}
       9:{1,2,5,6}:{(5,1),(11,1),(16,1),(42,1),(43,1)}
      10:{4,5}:{(6,1),(19,1)}
      11:{3,5,6}:{(6,1),(9,1),(19,1),(23,1)}
      12:{1,2,3}:{(20,1)}
      13:{2,3,4}:{(7,1),(20,1),(21,1),(35,1)}
      14:{1,3,4}:{(7,1),(20,1),(22,1),(35,1)}
      15:{3,5}:{(7,1),(8,1),(23,1)}
      16:{1,2,4,6}:{(8,1),(9,1),(19,1),(23,1),(37,1),(38,1),(39,1)}
      17:{1,2,3,5}:{(12,1),(24,1),(26,1),(30,1),(41,1),(44,1)}
      18:{3,4,5}:{(10,1),(15,1),(27,1),(28,1),(29,1),(44,1),(49,1)}
      19:{4,6}:{(10,1),(11,1)}
      20:{1,2,4}:{(12,1),(13,1),(14,1),(30,1)}
      21:{2,3,5}:{(13,1),(15,1),(27,1),(30,1),(31,1),(44,1)}
      22:{1,3,5}:{(14,1),(15,1),(28,1),(30,1),(32,1),(44,1)}
      23:{3,6}:{(15,1),(16,1)}
      24:{1,2,3,6}:{(17,1),(33,1),(39,1),(48,1)}
      25:{4,5,6}:{(19,1),(34,1),(51,1)}
      26:{1,2,4}:{(17,1),(35,1)}
      27:{2,4,5}:{(18,1),(21,1),(37,1)}
      28:{1,4,5}:{(18,1),(22,1),(38,1)}
      29:{3,4,6}:{(18,1),(19,1),(23,1),(34,1),(37,1),(38,1),(48,1),(51,1)}
      30:{1,2,5}:{(20,1),(21,1),(22,1),(39,1)}
      31:{2,3,6}:{(21,1),(23,1),(37,1),(39,1),(48,1)}
      32:{1,3,6}:{(22,1),(23,1),(38,1),(39,1),(48,1)}
      33:{1,2,4,6}:{(24,1),(26,1),(40,1),(41,1)}
      34:{3,5,6}:{(25,1),(29,1),(42,1),(43,1)}
      35:{3,4}:{(26,1),(44,1)}
      36:{1,2,4,5}:{(26,1),(27,1),(28,1),(30,1),(41,1),(44,1),(45,1),(49,1)}
      37:{2,4,6}:{(27,1),(29,1),(31,1),(42,1)}
      38:{1,4,6}:{(28,1),(29,1),(32,1),(43,1)}
      39:{1,2,6}:{(30,1),(31,1),(32,1)}
      40:{3,4,6}:{(33,1),(35,1),(46,1),(48,1),(51,1)}
      41:{1,2,5}:{(33,1),(46,1)}
      42:{2,5,6}:{(34,1),(37,1)}
      43:{1,5,6}:{(34,1),(38,1)}
      44:{3,5}:{(35,1),(36,1),(48,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(38,1),(39,1),(47,1),(48,1),(51,1)}
      46:{3,5}:{(40,1),(41,1),(49,1)}
      47:{1,2,5,6}:{(41,1),(42,1),(43,1),(45,1),(50,1)}
      48:{3,6}:{(44,1),(45,1)}
      49:{4,5}:{(46,1),(51,1)}
      50:{3,5,6}:{(46,1),(47,1),(48,1),(51,1)}
      51:{4,6}:{(49,1),(50,1)}

368 :  0:{4,5,6}:{(2,1),(33,1)}
       1:{3,4,5}:{(5,1),(6,1),(7,1),(25,1),(39,1)}
       2:{3,5,6}:{(0,1),(5,1),(8,1),(9,1)}
       3:{2,3,4}:{(10,1),(11,1),(32,1)}
       4:{1,3,4}:{(12,1),(13,1),(32,1)}
       5:{3,4,6}:{(1,1),(2,1),(14,1),(15,1),(31,1),(33,1)}
       6:{1,4,5}:{(1,1),(12,1),(14,1)}
       7:{2,4,5}:{(1,1),(10,1),(15,1)}
       8:{1,5,6}:{(2,1),(14,1)}
       9:{2,5,6}:{(2,1),(15,1)}
      10:{2,3,5}:{(3,1),(7,1),(18,1),(19,1),(25,1)}
      11:{1,2,4}:{(3,1),(19,1),(20,1),(35,1)}
      12:{1,3,5}:{(4,1),(6,1),(21,1),(22,1),(25,1)}
      13:{1,2,4}:{(4,1),(22,1),(23,1),(37,1)}
      14:{1,4,6}:{(5,1),(6,1),(8,1),(21,1)}
      15:{2,4,6}:{(5,1),(7,1),(9,1),(18,1)}
      16:{1,2,4,5}:{(6,1),(7,1),(19,1),(22,1),(24,1),(25,1),(35,1),(37,1),(39,1),(43,1),(44,1)}
      17:{1,2,5,6}:{(8,1),(9,1),(24,1),(26,1),(43,1),(44,1)}
      18:{2,3,6}:{(10,1),(15,1),(27,1),(31,1)}
      19:{1,2,5}:{(10,1),(11,1),(27,1),(28,1)}
      20:{1,3}:{(11,1)}
      21:{1,3,6}:{(12,1),(14,1),(29,1),(31,1)}
      22:{1,2,5}:{(12,1),(13,1),(29,1),(30,1)}
      23:{2,3}:{(13,1)}
      24:{1,2,4,6}:{(14,1),(15,1),(16,1),(17,1),(27,1),(29,1),(31,1),(33,1),(40,1),(41,1)}
      25:{3,5}:{(16,1),(31,1),(32,1)}
      26:{3,5,6}:{(17,1),(31,1),(33,1),(42,1)}
      27:{1,2,6}:{(18,1),(19,1),(34,1)}
      28:{1,3,5}:{(19,1),(20,1),(25,1),(34,1),(35,1),(43,1)}
      29:{1,2,6}:{(21,1),(22,1),(36,1)}
      30:{2,3,5}:{(22,1),(23,1),(25,1),(36,1),(37,1),(44,1)}
      31:{3,6}:{(24,1),(25,1)}
      32:{3,4}:{(25,1),(35,1),(37,1)}
      33:{4,6}:{(26,1),(39,1)}
      34:{1,3,6}:{(27,1),(28,1),(31,1),(40,1)}
      35:{1,4}:{(28,1),(32,1)}
      36:{2,3,6}:{(29,1),(30,1),(31,1),(41,1)}
      37:{2,4}:{(30,1),(32,1)}
      38:{3,4,6}:{(31,1),(32,1),(33,1),(40,1),(41,1),(42,1)}
      39:{4,5}:{(33,1),(42,1)}
      40:{1,4,6}:{(34,1),(35,1),(38,1),(43,1)}
      41:{2,4,6}:{(36,1),(37,1),(38,1),(44,1)}
      42:{3,5}:{(38,1),(39,1),(43,1),(44,1)}
      43:{1,5}:{(40,1),(42,1)}
      44:{2,5}:{(41,1),(42,1)}

369 : 0:{1,2,3}:{(1,1)}
      1:{1,2,4}:{(0,1),(2,1),(3,1)}
      2:{3,4}:{(1,1),(4,1)}
      3:{1,2,5}:{(1,1),(4,1),(5,1)}
      4:{3,5}:{(2,1),(3,1),(6,1),(7,1)}
      5:{1,2,6}:{(3,1),(7,1)}
      6:{4,5}:{(4,1),(8,1)}
      7:{3,6}:{(4,1),(5,1),(8,1)}
      8:{4,6}:{(6,1),(7,1),(9,1)}
      9:{5,6}:{(8,1)}

370 :  0:{1,2,3,4,6}:{(1,1),(4,1),(22,1),(23,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(10,1),(21,1),(22,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{3,4,5}:{(3,1),(7,1)}
       6:{1,2,4,5,6}:{(4,1),(10,1),(19,1),(20,1),(21,1)}
       7:{3,4,6}:{(4,1),(5,1),(10,1)}
       8:{1,3,4,5}:{(5,1),(11,1),(13,1),(32,1)}
       9:{2,3,4,5}:{(5,1),(12,1),(13,1),(32,1)}
      10:{3,5,6}:{(6,1),(7,1)}
      11:{1,3,4,6}:{(7,1),(8,1),(15,1),(17,1),(30,1)}
      12:{2,3,4,6}:{(7,1),(9,1),(16,1),(17,1),(30,1)}
      13:{1,2,4,5}:{(8,1),(9,1),(17,1),(18,1)}
      14:{3,4,5,6}:{(10,1),(19,1),(20,1),(27,1)}
      15:{1,3,5,6}:{(10,1),(11,1),(19,1),(21,1),(27,1)}
      16:{2,3,5,6}:{(10,1),(12,1),(20,1),(21,1),(27,1)}
      17:{1,2,4,6}:{(11,1),(12,1),(13,1),(21,1),(22,1)}
      18:{1,2,3,5}:{(13,1),(22,1),(23,1)}
      19:{1,4,5,6}:{(14,1),(15,1)}
      20:{2,4,5,6}:{(14,1),(16,1)}
      21:{1,2,5,6}:{(15,1),(16,1),(17,1)}
      22:{1,2,3,6}:{(17,1),(18,1)}
      23:{1,2,3,4}:{(18,1)}
      24:{1,2,4,5,6}:{(19,1),(20,1),(21,1),(27,1),(28,1)}
      25:{1,2,3,5,6}:{(21,1),(22,1),(27,1),(28,1),(29,1)}
      26:{1,2,3,4,6}:{(22,1),(23,1),(28,1),(29,1)}
      27:{3,5,6}:{(24,1),(30,1)}
      28:{1,2,4,6}:{(25,1),(30,1),(31,1)}
      29:{1,2,3,5}:{(26,1),(31,1)}
      30:{3,4,6}:{(27,1),(28,1),(32,1)}
      31:{1,2,4,5}:{(28,1),(29,1),(32,1)}
      32:{3,4,5}:{(30,1),(31,1)}

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

372 : 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:{3,4,5}:{(2,1),(6,1)}
      5:{1,2,4,6}:{(2,1),(3,1),(6,1),(7,1)}
      6:{3,4,6}:{(4,1),(5,1),(8,1)}
      7:{1,2,5,6}:{(5,1),(8,1)}
      8:{3,5,6}:{(6,1),(7,1),(9,1)}
      9:{4,5,6}:{(8,1)}

373 :  0:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(15,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(16,1),(17,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(20,1),(21,1),(22,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,5,6}:{(4,1),(5,1),(13,1)}
       9:{3,4,5}:{(5,1),(13,1),(16,1),(17,1),(26,1)}
      10:{1,3,5}:{(5,1),(6,1),(16,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(17,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,3,5,6}:{(8,1),(10,1),(20,1),(22,1),(28,1)}
      15:{2,3,5,6}:{(8,1),(11,1),(21,1),(22,1),(28,1)}
      16:{1,4,5}:{(9,1),(10,1),(20,1)}
      17:{2,4,5}:{(9,1),(11,1),(21,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,5,6}:{(14,1),(15,1),(18,1),(25,1)}
      23:{1,2,4,5}:{(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(23,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

374 :  0:{1,3,4,6}:{(3,1),(4,1),(6,1),(19,1),(28,1),(32,1)}
       1:{1,3,5,6}:{(4,1),(5,1),(6,1),(7,1),(19,1)}
       2:{1,4,5,6}:{(6,1),(7,1)}
       3:{1,2,4,6}:{(0,1),(8,1),(9,1),(21,1)}
       4:{1,3,5}:{(0,1),(9,1),(10,1),(22,1),(37,1)}
       5:{1,2,5,6}:{(1,1),(9,1),(11,1),(12,1),(14,1),(37,1)}
       6:{1,4,6}:{(1,1),(10,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1)}
       8:{2,3,6}:{(3,1),(15,1),(19,1)}
       9:{1,2,5}:{(3,1),(4,1),(15,1)}
      10:{1,4,5}:{(4,1),(6,1),(17,1)}
      11:{2,3,5,6}:{(5,1),(15,1),(18,1),(19,1),(31,1)}
      12:{1,2,4,6}:{(5,1),(6,1),(16,1),(18,1),(19,1),(20,1),(32,1),(33,1)}
      13:{3,4,6}:{(6,1),(7,1),(17,1),(19,1),(20,1)}
      14:{2,5,6}:{(7,1),(20,1)}
      15:{2,3,5}:{(8,1),(9,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(12,1),(21,1),(22,1),(23,1),(24,1),(34,1),(36,1),(37,1)}
      17:{3,4,5}:{(10,1),(13,1),(22,1),(23,1)}
      18:{2,4,6}:{(11,1),(21,1),(24,1),(25,1)}
      19:{3,6}:{(12,1),(22,1)}
      20:{2,4,6}:{(13,1),(14,1),(23,1),(27,1)}
      21:{2,4}:{(15,1),(28,1)}
      22:{3,5}:{(16,1),(19,1),(28,1)}
      23:{2,4,5}:{(17,1),(20,1),(30,1)}
      24:{2,4,5}:{(18,1),(31,1)}
      25:{3,4,6}:{(18,1),(19,1),(28,1),(31,1),(32,1)}
      26:{1,3,6}:{(19,1),(29,1),(32,1),(33,1)}
      27:{2,3,6}:{(19,1),(20,1),(30,1),(33,1)}
      28:{3,4}:{(21,1),(22,1),(34,1)}
      29:{1,3,5}:{(22,1),(26,1),(34,1),(36,1),(37,1),(39,1)}
      30:{2,3,5}:{(22,1),(23,1),(27,1),(35,1),(36,1)}
      31:{3,5}:{(24,1),(25,1),(37,1)}
      32:{1,4,6}:{(25,1),(26,1),(34,1),(37,1)}
      33:{1,2,6}:{(26,1),(27,1),(36,1)}
      34:{1,4}:{(28,1),(29,1)}
      35:{2,3,4}:{(28,1),(30,1),(38,1)}
      36:{1,2,5}:{(29,1),(30,1),(33,1),(38,1)}
      37:{1,5}:{(31,1),(32,1)}
      38:{1,2,4}:{(34,1),(35,1),(36,1),(39,1)}
      39:{1,3}:{(38,1)}

375 :  0:{2,3,4,6}:{(3,1),(4,1),(6,1),(19,1),(28,1),(32,1)}
       1:{2,3,5,6}:{(4,1),(5,1),(6,1),(7,1),(19,1)}
       2:{2,4,5,6}:{(6,1),(7,1)}
       3:{1,2,4,6}:{(0,1),(8,1),(9,1),(21,1)}
       4:{2,3,5}:{(0,1),(9,1),(10,1),(22,1),(37,1)}
       5:{1,2,5,6}:{(1,1),(9,1),(11,1),(12,1),(14,1),(37,1)}
       6:{2,4,6}:{(1,1),(10,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1)}
       8:{1,3,6}:{(3,1),(15,1),(19,1)}
       9:{1,2,5}:{(3,1),(4,1),(15,1)}
      10:{2,4,5}:{(4,1),(6,1),(17,1)}
      11:{1,3,5,6}:{(5,1),(15,1),(18,1),(19,1),(31,1)}
      12:{1,2,4,6}:{(5,1),(6,1),(16,1),(18,1),(19,1),(20,1),(32,1),(33,1)}
      13:{3,4,6}:{(6,1),(7,1),(17,1),(19,1),(20,1)}
      14:{1,5,6}:{(7,1),(20,1)}
      15:{1,3,5}:{(8,1),(9,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(12,1),(21,1),(22,1),(23,1),(24,1),(35,1),(36,1),(37,1)}
      17:{3,4,5}:{(10,1),(13,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(21,1),(24,1),(25,1)}
      19:{3,6}:{(12,1),(22,1)}
      20:{1,4,6}:{(13,1),(14,1),(23,1),(26,1)}
      21:{1,4}:{(15,1),(28,1)}
      22:{3,5}:{(16,1),(19,1),(28,1)}
      23:{1,4,5}:{(17,1),(20,1),(29,1)}
      24:{1,4,5}:{(18,1),(31,1)}
      25:{3,4,6}:{(18,1),(19,1),(28,1),(31,1),(32,1)}
      26:{1,3,6}:{(19,1),(20,1),(29,1),(33,1)}
      27:{2,3,6}:{(19,1),(30,1),(32,1),(33,1)}
      28:{3,4}:{(21,1),(22,1),(35,1)}
      29:{1,3,5}:{(22,1),(23,1),(26,1),(34,1),(36,1)}
      30:{2,3,5}:{(22,1),(27,1),(35,1),(36,1),(37,1),(39,1)}
      31:{3,5}:{(24,1),(25,1),(37,1)}
      32:{2,4,6}:{(25,1),(27,1),(35,1),(37,1)}
      33:{1,2,6}:{(26,1),(27,1),(36,1)}
      34:{1,3,4}:{(28,1),(29,1),(38,1)}
      35:{2,4}:{(28,1),(30,1)}
      36:{1,2,5}:{(29,1),(30,1),(33,1),(38,1)}
      37:{2,5}:{(31,1),(32,1)}
      38:{1,2,4}:{(34,1),(35,1),(36,1),(39,1)}
      39:{2,3}:{(38,1)}

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

377 :  0:{1,2,4,5,6}:{(1,1),(9,1),(10,1),(11,1),(19,1)}
       1:{3,5,6}:{(0,1),(3,1),(24,1)}
       2:{2,3,4,6}:{(7,1),(8,1),(10,1),(22,1),(28,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(22,1),(28,1)}
       4:{1,3,5,6}:{(1,1),(9,1),(11,1),(18,1),(20,1),(22,1)}
       5:{2,3,5,6}:{(1,1),(7,1),(10,1),(11,1),(22,1),(27,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(24,1)}
       7:{2,3,5}:{(2,1),(13,1),(14,1),(24,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(25,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1),(25,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1),(29,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(23,1)}
      12:{1,4,5}:{(6,1),(9,1),(18,1)}
      13:{2,4,5}:{(6,1),(7,1),(10,1)}
      14:{1,2,5}:{(7,1),(8,1),(20,1)}
      15:{1,3,6}:{(8,1),(20,1),(22,1)}
      16:{1,3,4,6}:{(9,1),(18,1),(21,1),(22,1),(28,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(19,1),(22,1)}
      18:{1,3,5}:{(12,1),(16,1),(23,1),(24,1)}
      19:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(23,1),(24,1),(25,1),(29,1)}
      20:{1,3,5}:{(14,1),(15,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(16,1),(23,1),(26,1),(29,1)}
      22:{3,6}:{(17,1),(24,1)}
      23:{1,2,5}:{(18,1),(21,1),(27,1)}
      24:{3,5}:{(19,1),(22,1),(28,1)}
      25:{1,4}:{(20,1),(28,1)}
      26:{2,3,6}:{(21,1),(22,1),(27,1)}
      27:{2,3,5}:{(23,1),(24,1),(26,1),(29,1)}
      28:{3,4}:{(24,1),(25,1),(29,1)}
      29:{2,4}:{(27,1),(28,1)}

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

379 :  0:{1,2,4,5,6}:{(1,1),(9,1),(10,1),(11,1),(19,1)}
       1:{3,5,6}:{(0,1),(3,1),(24,1)}
       2:{1,3,4,6}:{(7,1),(8,1),(9,1),(22,1),(28,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(22,1),(28,1)}
       4:{1,3,5,6}:{(1,1),(7,1),(9,1),(11,1),(22,1),(27,1)}
       5:{2,3,5,6}:{(1,1),(10,1),(11,1),(18,1),(20,1),(22,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(24,1)}
       7:{1,3,5}:{(2,1),(12,1),(14,1),(24,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(25,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1),(29,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1),(25,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(23,1)}
      12:{1,4,5}:{(6,1),(7,1),(9,1)}
      13:{2,4,5}:{(6,1),(10,1),(18,1)}
      14:{1,2,5}:{(7,1),(8,1),(20,1)}
      15:{2,3,6}:{(8,1),(20,1),(22,1)}
      16:{2,3,4,6}:{(10,1),(18,1),(21,1),(22,1),(28,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(19,1),(22,1)}
      18:{2,3,5}:{(13,1),(16,1),(23,1),(24,1)}
      19:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(23,1),(24,1),(25,1),(29,1)}
      20:{2,3,5}:{(14,1),(15,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(16,1),(23,1),(26,1),(29,1)}
      22:{3,6}:{(17,1),(24,1)}
      23:{1,2,5}:{(18,1),(21,1),(27,1)}
      24:{3,5}:{(19,1),(22,1),(28,1)}
      25:{2,4}:{(20,1),(28,1)}
      26:{1,3,6}:{(21,1),(22,1),(27,1)}
      27:{1,3,5}:{(23,1),(24,1),(26,1),(29,1)}
      28:{3,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

380 :  0:{3,4,5,6}:{(2,1),(3,1),(14,1),(75,1)}
       1:{2,3,4,5}:{(4,1),(5,1),(32,1),(35,1),(58,1)}
       2:{1,4,5,6}:{(0,1),(6,1),(80,1)}
       3:{2,4,5,6}:{(0,1),(7,1),(68,1)}
       4:{2,3,4,6}:{(1,1),(7,1),(9,1),(22,1)}
       5:{1,2,4,5}:{(1,1),(9,1),(10,1),(25,1),(43,1),(46,1)}
       6:{1,3,5,6}:{(2,1),(11,1),(12,1),(14,1),(73,1)}
       7:{2,3,5,6}:{(3,1),(4,1),(13,1),(14,1),(58,1)}
       8:{1,2,4,5,6}:{(2,1),(3,1),(12,1),(13,1),(14,1),(30,1),(31,1),(55,1)}
       9:{1,2,4,6}:{(4,1),(5,1),(13,1),(15,1),(31,1)}
      10:{1,3,5}:{(5,1),(15,1),(17,1)}
      11:{1,3,4,6}:{(6,1),(18,1),(19,1),(22,1)}
      12:{1,2,5,6}:{(6,1),(19,1),(20,1),(64,1)}
      13:{1,2,5,6}:{(7,1),(9,1),(21,1),(46,1)}
      14:{3,5,6}:{(8,1),(22,1),(66,1)}
      15:{1,3,6}:{(9,1),(10,1)}
      16:{1,2,3,5}:{(10,1),(23,1),(25,1),(46,1),(48,1)}
      17:{1,3,4}:{(10,1),(25,1)}
      18:{1,3,4,5}:{(11,1),(27,1),(32,1),(70,1),(73,1)}
      19:{1,2,4,6}:{(11,1),(12,1),(27,1),(28,1),(30,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(28,1),(30,1),(53,1)}
      21:{1,3,5,6}:{(13,1),(14,1),(15,1),(31,1),(34,1)}
      22:{3,4,6}:{(14,1),(30,1),(31,1),(32,1)}
      23:{1,2,3,6}:{(15,1),(16,1),(33,1),(60,1)}
      24:{1,3,4,6}:{(15,1),(17,1),(31,1),(33,1),(34,1),(54,1)}
      25:{1,2,4}:{(16,1),(17,1),(35,1)}
      26:{1,3,4,5}:{(17,1),(34,1),(36,1),(37,1),(75,1)}
      27:{1,2,4,5}:{(18,1),(19,1),(38,1),(42,1),(61,1),(64,1)}
      28:{2,3,6}:{(19,1),(38,1)}
      29:{1,2,3,5,6}:{(20,1),(21,1),(23,1),(39,1),(41,1),(46,1),(64,1),(66,1),(69,1),(81,1)}
      30:{2,4,6}:{(20,1),(22,1),(42,1)}
      31:{1,4,6}:{(21,1),(22,1),(43,1)}
      32:{3,4,5}:{(22,1),(42,1),(43,1),(66,1)}
      33:{1,2,4,6}:{(23,1),(24,1),(25,1),(45,1),(46,1)}
      34:{1,3,5}:{(24,1),(43,1),(46,1),(66,1)}
      35:{2,3,4}:{(25,1),(48,1)}
      36:{1,2,4,5}:{(25,1),(26,1),(46,1),(48,1),(49,1),(68,1)}
      37:{1,3,4,6}:{(26,1),(47,1),(49,1),(82,1)}
      38:{2,3,5}:{(27,1),(28,1),(51,1)}
      39:{1,2,3,6}:{(28,1),(50,1),(52,1),(83,1)}
      40:{2,3,4,6}:{(28,1),(30,1),(51,1),(52,1),(53,1),(54,1)}
      41:{1,2,4,6}:{(29,1),(30,1),(31,1),(54,1),(55,1),(77,1),(84,1)}
      42:{2,4,5}:{(30,1),(32,1),(53,1)}
      43:{1,4,5}:{(31,1),(32,1),(34,1)}
      44:{3,4,5,6}:{(32,1),(56,1),(57,1),(76,1)}
      45:{2,3,4,6}:{(33,1),(35,1),(54,1),(58,1),(60,1),(77,1)}
      46:{1,2,5}:{(33,1),(34,1),(58,1)}
      47:{1,3,5,6}:{(34,1),(37,1),(57,1),(59,1),(76,1)}
      48:{2,3,5}:{(35,1),(36,1),(60,1)}
      49:{1,2,4,6}:{(36,1),(37,1),(59,1),(60,1),(77,1)}
      50:{1,2,3,5}:{(38,1),(39,1),(61,1),(64,1),(78,1)}
      51:{2,3,4}:{(38,1),(61,1)}
      52:{1,2,4,6}:{(39,1),(40,1),(61,1),(63,1),(64,1)}
      53:{2,3,5}:{(40,1),(42,1),(64,1),(66,1)}
      54:{3,4,6}:{(41,1),(66,1)}
      55:{1,2,4,5}:{(41,1),(42,1),(43,1),(46,1),(64,1),(66,1),(68,1),(80,1)}
      56:{2,4,5,6}:{(42,1),(44,1),(65,1)}
      57:{1,4,5,6}:{(43,1),(44,1),(47,1)}
      58:{2,3,5}:{(45,1),(46,1),(66,1),(68,1)}
      59:{1,2,5,6}:{(46,1),(47,1),(49,1),(69,1)}
      60:{2,3,6}:{(48,1),(49,1)}
      61:{1,2,4}:{(50,1),(51,1),(70,1)}
      62:{2,3,4,5}:{(51,1),(53,1),(71,1),(72,1),(75,1)}
      63:{1,3,4,6}:{(52,1),(54,1),(70,1),(73,1),(83,1),(84,1)}
      64:{1,2,5}:{(52,1),(53,1),(73,1)}
      65:{2,3,5,6}:{(53,1),(56,1),(72,1),(74,1),(76,1)}
      66:{3,5}:{(54,1),(55,1)}
      67:{1,2,4,5,6}:{(55,1),(56,1),(57,1),(59,1),(74,1),(76,1),(77,1),(84,1)}
      68:{2,4,5}:{(58,1),(75,1),(77,1)}
      69:{2,3,5,6}:{(58,1),(59,1),(60,1),(76,1),(77,1)}
      70:{1,3,4}:{(61,1),(78,1)}
      71:{1,2,4,5}:{(61,1),(62,1),(64,1),(78,1),(79,1),(80,1)}
      72:{2,3,4,6}:{(62,1),(65,1),(79,1),(82,1)}
      73:{1,3,5}:{(63,1),(64,1),(66,1),(80,1)}
      74:{1,2,5,6}:{(64,1),(65,1),(79,1),(81,1)}
      75:{3,4,5}:{(66,1),(68,1),(80,1),(82,1)}
      76:{3,5,6}:{(66,1),(67,1),(82,1)}
      77:{2,4,6}:{(68,1),(69,1),(82,1)}
      78:{1,3,5}:{(70,1),(71,1),(83,1)}
      79:{1,2,4,6}:{(71,1),(72,1),(74,1),(83,1),(84,1)}
      80:{1,4,5}:{(73,1),(75,1),(84,1)}
      81:{1,3,5,6}:{(73,1),(74,1),(76,1),(83,1),(84,1)}
      82:{3,4,6}:{(75,1),(76,1),(77,1),(84,1)}
      83:{1,3,6}:{(78,1),(79,1)}
      84:{1,4,6}:{(80,1),(81,1),(82,1)}

381 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(13,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(12,1),(13,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(7,1),(17,1),(18,1),(27,1)}
       3:{1,4,6}:{(0,1),(5,1),(8,1),(25,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(26,1)}
       5:{1,4,5}:{(3,1),(11,1)}
       6:{2,4,5}:{(4,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(13,1),(14,1),(15,1),(24,1),(28,1)}
       8:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(21,1)}
       9:{3,4,6}:{(4,1),(12,1),(13,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(7,1),(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      11:{3,5}:{(5,1),(8,1),(17,1)}
      12:{3,5}:{(6,1),(9,1),(18,1)}
      13:{3,6}:{(7,1),(16,1),(29,1)}
      14:{2,4,6}:{(8,1),(17,1),(20,1),(26,1)}
      15:{1,4,6}:{(9,1),(18,1),(19,1),(25,1)}
      16:{3,5}:{(10,1),(13,1),(21,1)}
      17:{2,5}:{(11,1),(14,1)}
      18:{1,5}:{(12,1),(15,1)}
      19:{1,3,6}:{(13,1),(15,1),(22,1),(24,1)}
      20:{2,3,6}:{(13,1),(14,1),(23,1),(24,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(18,1),(19,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(17,1),(20,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(19,1),(20,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

382 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(18,1)}
       1:{3,5,6}:{(0,1),(2,1),(24,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(16,1),(19,1),(25,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(14,1),(19,1),(26,1)}
       5:{3,4,5}:{(2,1),(11,1),(12,1),(24,1)}
       6:{1,4,6}:{(2,1),(3,1),(11,1),(28,1)}
       7:{2,4,6}:{(2,1),(4,1),(12,1),(29,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(22,1)}
       9:{2,3,4,6}:{(7,1),(14,1),(15,1),(19,1),(27,1)}
      10:{1,3,4,6}:{(6,1),(16,1),(17,1),(19,1),(27,1)}
      11:{1,4,5}:{(5,1),(6,1),(16,1)}
      12:{2,4,5}:{(5,1),(7,1),(14,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(18,1),(19,1)}
      14:{2,3,5}:{(9,1),(12,1),(20,1),(24,1)}
      15:{1,2,4,6}:{(9,1),(20,1),(21,1),(28,1)}
      16:{1,3,5}:{(10,1),(11,1),(22,1),(24,1)}
      17:{1,2,4,6}:{(10,1),(22,1),(23,1),(29,1)}
      18:{1,2,4,5}:{(11,1),(12,1),(13,1),(20,1),(22,1),(24,1),(28,1),(29,1)}
      19:{3,6}:{(13,1),(24,1)}
      20:{1,2,5}:{(14,1),(15,1),(25,1)}
      21:{1,3,6}:{(15,1),(19,1),(25,1)}
      22:{1,2,5}:{(16,1),(17,1),(26,1)}
      23:{2,3,6}:{(17,1),(19,1),(26,1)}
      24:{3,5}:{(18,1),(19,1),(27,1)}
      25:{1,3,5}:{(20,1),(21,1),(24,1),(28,1)}
      26:{2,3,5}:{(22,1),(23,1),(24,1),(29,1)}
      27:{3,4}:{(24,1),(28,1),(29,1)}
      28:{1,4}:{(25,1),(27,1)}
      29:{2,4}:{(26,1),(27,1)}

383 :  0:{1,2,3,6}:{(3,1),(4,1),(32,1),(44,1)}
       1:{2,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(32,1)}
       2:{1,3,4,6}:{(3,1),(6,1),(15,1),(18,1),(32,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       4:{1,2,3,5}:{(0,1),(7,1),(8,1),(23,1),(42,1),(43,1)}
       5:{2,3,5}:{(1,1),(7,1),(10,1),(23,1)}
       6:{1,3,5}:{(2,1),(7,1),(12,1),(23,1)}
       7:{1,2,5}:{(3,1),(5,1),(6,1)}
       8:{1,2,4}:{(4,1),(15,1)}
       9:{2,3,5,6}:{(5,1),(13,1),(16,1),(30,1),(32,1)}
      10:{2,4,5}:{(5,1),(16,1),(17,1)}
      11:{1,3,5,6}:{(6,1),(13,1),(18,1),(31,1),(32,1)}
      12:{1,4,5}:{(6,1),(18,1),(19,1)}
      13:{1,2,5,6}:{(7,1),(9,1),(11,1),(22,1),(38,1),(39,1)}
      14:{1,2,4,5}:{(7,1),(8,1),(10,1),(12,1),(22,1),(23,1),(27,1),(29,1),(42,1)}
      15:{3,4}:{(8,1),(23,1)}
      16:{2,4,6}:{(9,1),(10,1),(26,1)}
      17:{3,4,5}:{(10,1),(23,1),(26,1),(27,1)}
      18:{1,4,6}:{(11,1),(12,1),(28,1)}
      19:{3,4,5}:{(12,1),(23,1),(28,1),(29,1)}
      20:{2,4,5,6}:{(16,1),(30,1)}
      21:{1,4,5,6}:{(18,1),(31,1)}
      22:{1,2,4,6}:{(13,1),(14,1),(16,1),(18,1),(32,1),(36,1),(37,1),(44,1)}
      23:{3,5}:{(14,1),(15,1),(32,1)}
      24:{1,3,4}:{(15,1),(33,1),(35,1)}
      25:{2,3,4}:{(15,1),(34,1),(35,1)}
      26:{3,4,6}:{(16,1),(17,1),(30,1),(32,1),(36,1)}
      27:{1,4,5}:{(17,1),(33,1),(36,1)}
      28:{3,4,6}:{(18,1),(19,1),(31,1),(32,1),(37,1)}
      29:{2,4,5}:{(19,1),(34,1),(37,1)}
      30:{3,5,6}:{(20,1),(26,1),(38,1)}
      31:{3,5,6}:{(21,1),(28,1),(39,1)}
      32:{3,6}:{(22,1),(23,1)}
      33:{1,3,5}:{(23,1),(24,1),(27,1),(40,1),(42,1)}
      34:{2,3,5}:{(23,1),(25,1),(29,1),(41,1),(42,1)}
      35:{1,2,4}:{(24,1),(25,1),(42,1),(43,1)}
      36:{1,4,6}:{(26,1),(27,1),(38,1),(40,1)}
      37:{2,4,6}:{(28,1),(29,1),(39,1),(41,1)}
      38:{1,5,6}:{(30,1),(36,1)}
      39:{2,5,6}:{(31,1),(37,1)}
      40:{1,3,6}:{(32,1),(33,1),(36,1),(44,1)}
      41:{2,3,6}:{(32,1),(34,1),(37,1),(44,1)}
      42:{1,2,5}:{(33,1),(34,1),(35,1),(44,1)}
      43:{1,2,3}:{(35,1)}
      44:{1,2,6}:{(40,1),(41,1),(42,1)}

384 :  0:{1,4,5,6}:{(2,1),(13,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(13,1),(27,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{1,3,5}:{(1,1),(9,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(27,1)}
       7:{1,3,5,6}:{(2,1),(4,1),(13,1),(15,1),(27,1)}
       8:{2,5,6}:{(2,1),(14,1)}
       9:{1,4,5}:{(3,1),(4,1),(13,1)}
      10:{2,4,5}:{(3,1),(14,1),(16,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{2,3,6}:{(5,1),(18,1),(27,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1),(19,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(20,1),(21,1),(39,1)}
      16:{2,3,5}:{(10,1),(19,1),(22,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(20,1),(23,1),(24,1),(25,1),(34,1),(36,1),(39,1)}
      18:{2,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{2,3,6}:{(14,1),(16,1),(26,1),(27,1)}
      20:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      21:{2,3,5,6}:{(15,1),(18,1),(27,1),(28,1),(38,1)}
      22:{2,3,4}:{(16,1),(29,1),(31,1)}
      23:{1,2,5}:{(16,1),(26,1),(29,1),(30,1)}
      24:{3,5}:{(17,1),(27,1),(31,1)}
      25:{2,4}:{(18,1),(31,1)}
      26:{1,2,6}:{(19,1),(23,1),(32,1)}
      27:{3,6}:{(20,1),(24,1)}
      28:{2,4,6}:{(21,1),(25,1),(33,1),(34,1)}
      29:{1,2,4}:{(22,1),(23,1),(35,1),(36,1)}
      30:{1,3,5}:{(23,1),(24,1),(32,1),(35,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{1,3,6}:{(26,1),(27,1),(30,1),(37,1)}
      33:{3,4,6}:{(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{2,4,5}:{(28,1),(38,1)}
      35:{1,3}:{(29,1)}
      36:{1,4}:{(30,1),(31,1)}
      37:{1,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{3,5}:{(33,1),(34,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

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

386 :  0:{1,2,3,5,6}:{(1,1),(5,1),(16,1),(17,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(14,1),(15,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(9,1),(20,1),(21,1),(23,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,4,5}:{(5,1),(13,1),(14,1),(15,1),(26,1)}
       9:{3,5,6}:{(4,1),(5,1),(13,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(15,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,4,5}:{(8,1),(10,1),(20,1)}
      15:{2,4,5}:{(8,1),(11,1),(21,1)}
      16:{1,3,5,6}:{(9,1),(10,1),(20,1),(23,1),(28,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(21,1),(23,1),(28,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(18,1),(25,1),(26,1),(27,1)}
      23:{1,2,5,6}:{(16,1),(17,1),(18,1),(25,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(22,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

387 :  0:{2,3,4,5}:{(1,1),(2,1),(23,1),(43,1),(49,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(17,1),(37,1),(39,1)}
       2:{2,3,4,6}:{(0,1),(5,1),(6,1),(40,1)}
       3:{1,3,4,5}:{(7,1),(8,1),(10,1),(29,1),(63,1)}
       4:{1,3,5}:{(1,1),(10,1),(11,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(30,1)}
       6:{2,3,5,6}:{(2,1),(12,1),(13,1),(31,1),(43,1)}
       7:{1,2,4,5}:{(3,1),(14,1),(15,1),(17,1),(37,1),(53,1)}
       8:{1,3,4,6}:{(3,1),(15,1),(16,1),(54,1)}
       9:{1,2,3,5}:{(4,1),(14,1),(17,1),(18,1),(37,1)}
      10:{1,3,4}:{(4,1),(17,1)}
      11:{1,3,6}:{(4,1),(5,1)}
      12:{1,2,5,6}:{(5,1),(6,1),(20,1),(37,1)}
      13:{2,4,5,6}:{(6,1),(22,1),(53,1)}
      14:{2,3,5}:{(7,1),(23,1),(24,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(44,1)}
      16:{1,3,5,6}:{(8,1),(25,1),(26,1),(29,1),(45,1)}
      17:{1,2,4}:{(9,1),(10,1),(23,1)}
      18:{1,2,3,6}:{(9,1),(11,1),(24,1),(27,1)}
      19:{1,3,4,6}:{(10,1),(11,1),(27,1),(29,1),(30,1),(48,1)}
      20:{1,3,5,6}:{(11,1),(12,1),(29,1),(30,1),(31,1)}
      21:{1,2,4,5,6}:{(12,1),(13,1),(30,1),(31,1),(32,1),(47,1),(51,1),(52,1)}
      22:{3,4,5,6}:{(13,1),(31,1),(32,1),(63,1)}
      23:{2,3,4}:{(14,1),(17,1)}
      24:{2,3,6}:{(14,1),(15,1)}
      25:{1,2,5,6}:{(15,1),(16,1),(34,1),(37,1)}
      26:{1,4,5,6}:{(16,1),(36,1),(39,1)}
      27:{1,2,4,6}:{(17,1),(18,1),(19,1),(33,1),(37,1)}
      28:{1,2,3,5,6}:{(18,1),(20,1),(34,1),(37,1),(38,1),(42,1),(55,1),(57,1),(75,1),(76,1)}
      29:{1,3,5}:{(19,1),(37,1),(39,1),(57,1)}
      30:{1,4,6}:{(20,1),(39,1),(40,1)}
      31:{3,5,6}:{(21,1),(40,1),(57,1)}
      32:{1,4,5,6}:{(22,1),(41,1),(72,1)}
      33:{2,3,4,6}:{(23,1),(24,1),(27,1),(43,1),(44,1),(48,1)}
      34:{2,3,5,6}:{(24,1),(25,1),(43,1),(44,1),(45,1)}
      35:{1,2,4,5,6}:{(25,1),(26,1),(44,1),(45,1),(46,1),(47,1),(64,1),(66,1)}
      36:{3,4,5,6}:{(26,1),(45,1),(46,1),(49,1)}
      37:{1,2,5}:{(27,1),(29,1),(43,1)}
      38:{1,2,4,6}:{(28,1),(30,1),(44,1),(47,1),(48,1),(51,1),(64,1)}
      39:{1,4,5}:{(29,1),(30,1),(49,1)}
      40:{3,4,6}:{(30,1),(31,1),(49,1),(51,1)}
      41:{1,3,5,6}:{(31,1),(32,1),(50,1),(52,1),(67,1)}
      42:{2,3,5,6}:{(31,1),(51,1),(52,1),(68,1),(71,1)}
      43:{2,3,5}:{(33,1),(37,1),(53,1),(57,1)}
      44:{2,4,6}:{(34,1),(53,1),(54,1)}
      45:{3,5,6}:{(35,1),(54,1),(57,1)}
      46:{2,4,5,6}:{(36,1),(56,1),(61,1)}
      47:{1,2,4,5}:{(37,1),(38,1),(39,1),(53,1),(57,1),(61,1),(72,1),(75,1)}
      48:{3,4,6}:{(38,1),(57,1)}
      49:{3,4,5}:{(39,1),(40,1),(57,1),(61,1)}
      50:{1,3,4,6}:{(40,1),(41,1),(60,1),(62,1)}
      51:{2,4,6}:{(40,1),(42,1),(61,1)}
      52:{1,2,5,6}:{(41,1),(42,1),(62,1),(75,1)}
      53:{2,4,5}:{(43,1),(44,1),(63,1)}
      54:{3,4,6}:{(44,1),(45,1),(63,1),(64,1)}
      55:{1,3,5,6}:{(45,1),(64,1),(66,1),(67,1),(79,1)}
      56:{2,3,5,6}:{(45,1),(46,1),(65,1),(66,1),(68,1)}
      57:{3,5}:{(47,1),(48,1)}
      58:{1,3,4,6}:{(48,1),(64,1),(67,1),(69,1),(79,1),(84,1)}
      59:{2,3,4,6}:{(48,1),(51,1),(68,1),(69,1),(71,1),(81,1)}
      60:{1,3,4,5}:{(49,1),(50,1),(67,1),(70,1),(84,1)}
      61:{2,4,5}:{(49,1),(51,1),(68,1)}
      62:{1,2,4,6}:{(50,1),(51,1),(52,1),(70,1),(71,1)}
      63:{3,4,5}:{(53,1),(54,1),(57,1),(72,1)}
      64:{1,4,6}:{(54,1),(55,1),(72,1)}
      65:{2,3,4,6}:{(54,1),(56,1),(73,1),(74,1)}
      66:{1,2,5,6}:{(55,1),(56,1),(74,1),(75,1)}
      67:{1,3,5}:{(57,1),(58,1),(72,1),(75,1)}
      68:{2,3,5}:{(57,1),(59,1),(61,1),(75,1)}
      69:{1,2,4,6}:{(58,1),(59,1),(75,1),(76,1),(83,1)}
      70:{1,2,4,5}:{(60,1),(61,1),(62,1),(75,1),(77,1),(83,1)}
      71:{2,3,6}:{(62,1),(77,1)}
      72:{1,4,5}:{(63,1),(64,1),(67,1)}
      73:{2,3,4,5}:{(63,1),(65,1),(68,1),(78,1),(81,1)}
      74:{1,2,4,6}:{(64,1),(65,1),(66,1),(78,1),(79,1)}
      75:{1,2,5}:{(67,1),(68,1),(69,1)}
      76:{1,2,3,6}:{(69,1),(71,1),(79,1),(80,1)}
      77:{2,3,5}:{(70,1),(71,1),(81,1)}
      78:{1,2,4,5}:{(72,1),(73,1),(74,1),(75,1),(82,1),(83,1)}
      79:{1,3,6}:{(74,1),(82,1)}
      80:{1,2,3,5}:{(75,1),(76,1),(77,1),(82,1),(83,1)}
      81:{2,3,4}:{(77,1),(83,1)}
      82:{1,3,5}:{(78,1),(79,1),(84,1)}
      83:{1,2,4}:{(80,1),(81,1),(84,1)}
      84:{1,3,4}:{(82,1),(83,1)}

388 :  0:{2,3,4,6}:{(4,1),(5,1),(8,1),(22,1),(23,1),(31,1)}
       1:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(22,1)}
       2:{2,3,5,6}:{(5,1),(6,1),(8,1),(9,1),(22,1)}
       3:{2,4,5,6}:{(8,1),(9,1)}
       4:{1,2,4,6}:{(0,1),(10,1),(11,1),(25,1)}
       5:{2,3,5}:{(0,1),(11,1),(13,1),(26,1),(27,1)}
       6:{1,2,5,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(27,1)}
       7:{1,4,6}:{(1,1),(12,1),(15,1),(25,1)}
       8:{2,4,6}:{(2,1),(13,1),(16,1)}
       9:{3,5,6}:{(3,1),(16,1),(17,1)}
      10:{1,3,6}:{(4,1),(18,1),(22,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,4,5}:{(7,1),(20,1)}
      13:{2,4,5}:{(5,1),(8,1),(21,1)}
      14:{1,2,4,6}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(24,1),(34,1)}
      15:{3,4,6}:{(7,1),(20,1),(22,1),(23,1),(31,1)}
      16:{3,4,6}:{(8,1),(9,1),(21,1),(22,1),(24,1)}
      17:{1,5,6}:{(9,1),(24,1)}
      18:{1,3,5}:{(10,1),(11,1),(25,1),(26,1)}
      19:{1,2,4,5}:{(11,1),(12,1),(13,1),(14,1),(25,1),(26,1),(27,1),(28,1),(36,1),(37,1)}
      20:{3,5}:{(12,1),(15,1),(27,1)}
      21:{3,4,5}:{(13,1),(16,1),(26,1),(28,1)}
      22:{3,6}:{(14,1),(26,1)}
      23:{2,4,6}:{(15,1),(27,1),(30,1),(36,1)}
      24:{1,4,6}:{(16,1),(17,1),(28,1),(29,1)}
      25:{1,4}:{(18,1),(31,1)}
      26:{3,5}:{(19,1),(22,1),(31,1)}
      27:{2,5}:{(20,1),(23,1)}
      28:{1,4,5}:{(21,1),(24,1),(32,1)}
      29:{1,3,6}:{(22,1),(24,1),(32,1),(34,1)}
      30:{2,3,6}:{(22,1),(23,1),(33,1),(34,1)}
      31:{3,4}:{(25,1),(26,1),(36,1)}
      32:{1,3,5}:{(26,1),(28,1),(29,1),(35,1),(37,1)}
      33:{2,3,5}:{(26,1),(27,1),(30,1),(36,1),(37,1),(39,1)}
      34:{1,2,6}:{(29,1),(30,1),(37,1)}
      35:{1,3,4}:{(31,1),(32,1),(38,1)}
      36:{2,4}:{(31,1),(33,1)}
      37:{1,2,5}:{(32,1),(33,1),(34,1),(38,1)}
      38:{1,2,4}:{(35,1),(36,1),(37,1),(39,1)}
      39:{2,3}:{(38,1)}

389 :  0:{1,2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(20,1)}
       1:{3,5,6}:{(0,1),(2,1),(25,1)}
       2:{3,4,6}:{(1,1),(6,1),(7,1),(8,1),(21,1),(28,1)}
       3:{1,3,5,6}:{(1,1),(7,1),(9,1),(18,1),(21,1),(22,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1),(21,1),(27,1)}
       5:{2,3,4,6}:{(8,1),(10,1),(11,1),(21,1),(28,1)}
       6:{3,4,5}:{(2,1),(13,1),(14,1),(25,1)}
       7:{1,4,6}:{(2,1),(3,1),(13,1),(26,1)}
       8:{2,4,6}:{(2,1),(4,1),(14,1),(29,1)}
       9:{1,2,5,6}:{(3,1),(4,1),(15,1),(16,1),(23,1)}
      10:{2,3,5}:{(5,1),(14,1),(16,1),(25,1)}
      11:{1,2,4,6}:{(5,1),(16,1),(17,1),(26,1)}
      12:{1,3,4,6}:{(7,1),(18,1),(19,1),(21,1),(28,1)}
      13:{1,4,5}:{(6,1),(7,1),(18,1)}
      14:{2,4,5}:{(6,1),(8,1),(10,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(9,1),(20,1),(21,1)}
      16:{1,2,5}:{(10,1),(11,1),(22,1)}
      17:{1,3,6}:{(11,1),(21,1),(22,1)}
      18:{1,3,5}:{(12,1),(13,1),(23,1),(25,1)}
      19:{1,2,4,6}:{(12,1),(23,1),(24,1),(29,1)}
      20:{1,2,4,5}:{(13,1),(14,1),(15,1),(16,1),(23,1),(25,1),(26,1),(29,1)}
      21:{3,6}:{(15,1),(25,1)}
      22:{1,3,5}:{(16,1),(17,1),(25,1),(26,1)}
      23:{1,2,5}:{(18,1),(19,1),(27,1)}
      24:{2,3,6}:{(19,1),(21,1),(27,1)}
      25:{3,5}:{(20,1),(21,1),(28,1)}
      26:{1,4}:{(22,1),(28,1)}
      27:{2,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{3,4}:{(25,1),(26,1),(29,1)}
      29:{2,4}:{(27,1),(28,1)}

390 :  0:{1,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(17,1)}
       2:{1,3,5}:{(0,1),(5,1),(6,1),(18,1),(38,1)}
       3:{1,3,5,6}:{(2,1),(8,1),(9,1),(13,1),(22,1)}
       4:{2,3,6}:{(1,1),(10,1),(22,1)}
       5:{1,2,5}:{(1,1),(2,1),(10,1)}
       6:{1,4,5}:{(2,1),(9,1),(12,1)}
       7:{1,4,5,6}:{(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(5,1),(14,1),(15,1),(20,1),(38,1)}
       9:{1,4,6}:{(3,1),(6,1),(16,1)}
      10:{2,3,5}:{(4,1),(5,1),(17,1),(18,1)}
      11:{1,2,4,5}:{(5,1),(6,1),(15,1),(17,1),(18,1),(19,1),(27,1),(31,1),(33,1),(38,1)}
      12:{3,4,5}:{(6,1),(16,1),(18,1),(19,1)}
      13:{3,5,6}:{(7,1),(16,1),(20,1)}
      14:{2,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(11,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(12,1),(13,1),(22,1),(23,1)}
      17:{2,4}:{(10,1),(24,1)}
      18:{3,5}:{(11,1),(22,1),(24,1)}
      19:{2,4,5}:{(12,1),(23,1),(26,1)}
      20:{2,5,6}:{(13,1),(23,1)}
      21:{2,4,6}:{(14,1),(17,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(18,1)}
      23:{2,4,6}:{(16,1),(19,1),(20,1),(30,1)}
      24:{3,4}:{(17,1),(18,1),(31,1)}
      25:{1,3,5}:{(18,1),(29,1),(31,1),(33,1),(38,1),(39,1)}
      26:{2,3,5}:{(18,1),(19,1),(30,1),(32,1),(33,1)}
      27:{2,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(25,1),(35,1),(36,1)}
      30:{2,3,6}:{(22,1),(23,1),(26,1),(36,1)}
      31:{1,4}:{(24,1),(25,1)}
      32:{2,3,4}:{(24,1),(26,1),(37,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{1,4,6}:{(28,1),(29,1),(31,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{1,5}:{(34,1),(35,1)}
      39:{1,3}:{(37,1)}

391 :  0:{1,2,3,6}:{(2,1),(3,1),(32,1),(43,1)}
       1:{2,3,4,6}:{(3,1),(4,1),(11,1),(15,1),(32,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(19,1),(22,1),(38,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       4:{2,3,5}:{(1,1),(7,1),(8,1),(22,1)}
       5:{1,3,4,6}:{(3,1),(10,1),(11,1),(28,1),(32,1)}
       6:{1,2,4}:{(2,1),(11,1)}
       7:{1,2,5}:{(3,1),(4,1),(10,1)}
       8:{2,4,5}:{(4,1),(14,1),(15,1)}
       9:{2,3,5,6}:{(4,1),(13,1),(15,1),(26,1),(32,1)}
      10:{1,3,5}:{(5,1),(7,1),(17,1),(22,1)}
      11:{3,4}:{(6,1),(22,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(8,1),(17,1),(22,1),(23,1),(24,1),(36,1),(38,1)}
      13:{1,2,5,6}:{(7,1),(9,1),(18,1),(23,1),(34,1),(44,1)}
      14:{3,4,5}:{(8,1),(22,1),(24,1),(25,1)}
      15:{2,4,6}:{(8,1),(9,1),(25,1)}
      16:{2,4,5,6}:{(15,1),(26,1)}
      17:{1,4,5}:{(10,1),(27,1),(28,1)}
      18:{1,3,5,6}:{(10,1),(13,1),(28,1),(32,1),(41,1)}
      19:{1,2,3}:{(29,1)}
      20:{2,3,4}:{(11,1),(29,1),(30,1)}
      21:{1,3,4}:{(11,1),(29,1),(31,1)}
      22:{3,5}:{(11,1),(12,1),(32,1)}
      23:{1,2,4,6}:{(12,1),(13,1),(15,1),(28,1),(32,1),(33,1),(42,1),(43,1)}
      24:{1,4,5}:{(14,1),(31,1),(33,1)}
      25:{3,4,6}:{(14,1),(15,1),(26,1),(32,1),(33,1)}
      26:{3,5,6}:{(16,1),(25,1),(34,1)}
      27:{3,4,5}:{(17,1),(22,1),(36,1),(37,1)}
      28:{1,4,6}:{(17,1),(18,1),(37,1)}
      29:{1,2,4}:{(19,1),(20,1),(21,1),(38,1)}
      30:{2,3,5}:{(20,1),(22,1),(36,1),(38,1),(39,1)}
      31:{1,3,5}:{(21,1),(22,1),(24,1),(38,1),(40,1)}
      32:{3,6}:{(22,1),(23,1)}
      33:{1,4,6}:{(24,1),(25,1),(34,1),(40,1)}
      34:{1,5,6}:{(26,1),(33,1)}
      35:{1,4,5,6}:{(28,1),(41,1)}
      36:{2,4,5}:{(27,1),(30,1),(42,1)}
      37:{3,4,6}:{(27,1),(28,1),(32,1),(41,1),(42,1)}
      38:{1,2,5}:{(29,1),(30,1),(31,1),(43,1)}
      39:{2,3,6}:{(30,1),(32,1),(42,1),(43,1)}
      40:{1,3,6}:{(31,1),(32,1),(33,1),(43,1)}
      41:{3,5,6}:{(35,1),(37,1),(44,1)}
      42:{2,4,6}:{(36,1),(37,1),(39,1),(44,1)}
      43:{1,2,6}:{(38,1),(39,1),(40,1)}
      44:{2,5,6}:{(41,1),(42,1)}

392 :  0:{2,4,5,6}:{(3,1),(17,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(17,1),(30,1),(31,1),(37,1)}
       2:{3,4,5}:{(7,1),(8,1),(9,1),(25,1)}
       3:{3,5,6}:{(0,1),(7,1),(10,1)}
       4:{2,3,5}:{(1,1),(9,1),(12,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(12,1),(13,1),(27,1)}
       6:{1,3,4}:{(14,1),(15,1),(31,1)}
       7:{3,4,6}:{(2,1),(3,1),(16,1),(17,1),(30,1)}
       8:{1,4,5}:{(2,1),(14,1),(16,1)}
       9:{2,4,5}:{(2,1),(4,1),(17,1)}
      10:{1,5,6}:{(3,1),(16,1)}
      11:{2,3,5,6}:{(3,1),(4,1),(17,1),(19,1),(30,1)}
      12:{1,2,5}:{(4,1),(5,1),(20,1)}
      13:{1,3,6}:{(5,1),(20,1),(30,1)}
      14:{1,3,5}:{(6,1),(8,1),(21,1),(22,1),(25,1)}
      15:{1,2,4}:{(6,1),(22,1),(23,1),(34,1)}
      16:{1,4,6}:{(7,1),(8,1),(10,1),(21,1)}
      17:{2,4,6}:{(7,1),(9,1),(11,1)}
      18:{1,2,4,5}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(27,1),(34,1),(36,1),(39,1)}
      19:{1,2,5,6}:{(10,1),(11,1),(12,1),(24,1),(26,1),(39,1)}
      20:{1,3,5}:{(12,1),(13,1),(25,1),(27,1)}
      21:{1,3,6}:{(14,1),(16,1),(28,1),(30,1)}
      22:{1,2,5}:{(14,1),(15,1),(28,1),(29,1)}
      23:{2,3}:{(15,1)}
      24:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(28,1),(30,1),(32,1),(37,1)}
      25:{3,5}:{(18,1),(30,1),(31,1)}
      26:{1,3,5,6}:{(19,1),(20,1),(30,1),(32,1),(38,1)}
      27:{1,4}:{(20,1),(31,1)}
      28:{1,2,6}:{(21,1),(22,1),(33,1)}
      29:{2,3,5}:{(22,1),(23,1),(25,1),(33,1),(34,1),(39,1)}
      30:{3,6}:{(24,1),(25,1)}
      31:{3,4}:{(25,1),(27,1),(34,1)}
      32:{1,4,6}:{(26,1),(27,1),(35,1),(36,1)}
      33:{2,3,6}:{(28,1),(29,1),(30,1),(37,1)}
      34:{2,4}:{(29,1),(31,1)}
      35:{3,4,6}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{1,4,5}:{(32,1),(38,1)}
      37:{2,4,6}:{(33,1),(34,1),(35,1),(39,1)}
      38:{3,5}:{(35,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

393 :  0:{1,2,3}:{(4,1)}
       1:{2,3,4}:{(4,1),(5,1),(21,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(8,1),(10,1),(15,1),(28,1),(31,1),(34,1)}
       3:{3,4,5}:{(11,1),(12,1),(13,1),(34,1),(47,1)}
       4:{1,2,4}:{(0,1),(1,1),(14,1),(15,1)}
       5:{2,3,5}:{(1,1),(11,1),(15,1),(16,1),(34,1)}
       6:{1,2,3}:{(17,1)}
       7:{1,3,4}:{(17,1),(18,1),(21,1)}
       8:{1,2,3,6}:{(2,1),(19,1),(26,1),(39,1),(43,1)}
       9:{4,5,6}:{(20,1),(52,1)}
      10:{1,2,4}:{(2,1),(21,1)}
      11:{2,4,5}:{(3,1),(5,1),(23,1)}
      12:{1,4,5}:{(3,1),(18,1),(24,1)}
      13:{3,4,6}:{(3,1),(20,1),(23,1),(24,1),(43,1),(52,1)}
      14:{1,3,4}:{(4,1),(21,1),(25,1)}
      15:{1,2,5}:{(4,1),(5,1),(25,1),(26,1)}
      16:{2,3,6}:{(5,1),(23,1),(26,1),(43,1)}
      17:{1,2,4}:{(6,1),(7,1),(27,1),(28,1)}
      18:{1,3,5}:{(7,1),(12,1),(28,1),(29,1),(34,1)}
      19:{1,2,4,6}:{(8,1),(10,1),(30,1),(31,1)}
      20:{3,5,6}:{(9,1),(13,1),(32,1),(33,1)}
      21:{3,4}:{(10,1),(34,1)}
      22:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(28,1),(31,1),(34,1),(35,1),(36,1),(45,1),(47,1)}
      23:{2,4,6}:{(11,1),(13,1),(16,1),(32,1)}
      24:{1,4,6}:{(12,1),(13,1),(29,1),(33,1)}
      25:{1,3,5}:{(14,1),(15,1),(34,1),(36,1),(37,1)}
      26:{1,2,6}:{(15,1),(16,1),(37,1)}
      27:{2,3,4}:{(17,1),(21,1),(38,1)}
      28:{1,2,5}:{(17,1),(18,1),(38,1),(39,1)}
      29:{1,3,6}:{(18,1),(24,1),(39,1),(43,1)}
      30:{3,4,6}:{(19,1),(21,1),(40,1),(43,1),(52,1)}
      31:{1,2,5}:{(19,1),(40,1)}
      32:{2,5,6}:{(20,1),(23,1)}
      33:{1,5,6}:{(20,1),(24,1)}
      34:{3,5}:{(21,1),(22,1),(43,1)}
      35:{1,2,4,6}:{(22,1),(23,1),(24,1),(26,1),(39,1),(41,1),(43,1),(44,1),(51,1),(52,1)}
      36:{1,4,5}:{(25,1),(42,1),(44,1)}
      37:{1,3,6}:{(25,1),(26,1),(43,1),(44,1)}
      38:{2,3,5}:{(27,1),(28,1),(34,1),(45,1),(46,1)}
      39:{1,2,6}:{(28,1),(29,1),(46,1)}
      40:{3,5}:{(30,1),(31,1),(47,1)}
      41:{1,2,5,6}:{(31,1),(32,1),(33,1),(35,1),(48,1),(50,1),(54,1)}
      42:{3,4,5}:{(34,1),(36,1),(45,1),(47,1),(49,1)}
      43:{3,6}:{(34,1),(35,1)}
      44:{1,4,6}:{(36,1),(37,1),(49,1),(50,1)}
      45:{2,4,5}:{(38,1),(42,1),(51,1)}
      46:{2,3,6}:{(38,1),(39,1),(43,1),(51,1)}
      47:{4,5}:{(40,1),(52,1)}
      48:{3,5,6}:{(40,1),(41,1),(43,1),(52,1)}
      49:{3,4,6}:{(42,1),(43,1),(44,1),(51,1),(52,1),(53,1)}
      50:{1,5,6}:{(44,1),(53,1)}
      51:{2,4,6}:{(45,1),(46,1),(49,1),(54,1)}
      52:{4,6}:{(47,1),(48,1)}
      53:{3,5,6}:{(49,1),(50,1),(54,1),(55,1)}
      54:{2,5,6}:{(51,1),(53,1)}
      55:{4,5,6}:{(52,1),(53,1)}

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

395 :  0:{2,4,5,6}:{(2,1),(14,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(14,1),(27,1),(31,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(7,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(24,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1),(24,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(25,1)}
       6:{3,4,6}:{(2,1),(3,1),(13,1),(14,1),(27,1)}
       7:{1,5,6}:{(2,1),(13,1)}
       8:{2,3,5,6}:{(2,1),(4,1),(14,1),(15,1),(27,1)}
       9:{1,4,5}:{(3,1),(13,1),(16,1)}
      10:{2,4,5}:{(3,1),(4,1),(14,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,3,6}:{(5,1),(18,1),(27,1)}
      13:{1,4,6}:{(6,1),(7,1),(9,1),(19,1)}
      14:{2,4,6}:{(6,1),(8,1),(10,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(11,1),(20,1),(21,1),(39,1)}
      16:{1,3,5}:{(9,1),(19,1),(22,1),(23,1),(24,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(11,1),(20,1),(23,1),(24,1),(25,1),(34,1),(36,1),(39,1)}
      18:{1,3,5}:{(11,1),(12,1),(24,1),(25,1)}
      19:{1,3,6}:{(13,1),(16,1),(26,1),(27,1)}
      20:{1,2,4,6}:{(13,1),(14,1),(15,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      21:{1,3,5,6}:{(15,1),(18,1),(27,1),(28,1),(38,1)}
      22:{1,3,4}:{(16,1),(29,1),(31,1)}
      23:{1,2,5}:{(16,1),(26,1),(29,1),(30,1)}
      24:{3,5}:{(17,1),(27,1),(31,1)}
      25:{1,4}:{(18,1),(31,1)}
      26:{1,2,6}:{(19,1),(23,1),(32,1)}
      27:{3,6}:{(20,1),(24,1)}
      28:{1,4,6}:{(21,1),(25,1),(33,1),(34,1)}
      29:{1,2,4}:{(22,1),(23,1),(35,1),(36,1)}
      30:{2,3,5}:{(23,1),(24,1),(32,1),(35,1),(36,1),(39,1)}
      31:{3,4}:{(24,1),(25,1),(36,1)}
      32:{2,3,6}:{(26,1),(27,1),(30,1),(37,1)}
      33:{3,4,6}:{(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{1,4,5}:{(28,1),(38,1)}
      35:{2,3}:{(29,1)}
      36:{2,4}:{(30,1),(31,1)}
      37:{2,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{3,5}:{(33,1),(34,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

396 :  0:{1,2,3,5,6}:{(1,1),(5,1),(16,1),(17,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(14,1),(15,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(9,1),(20,1),(21,1),(23,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,4,5}:{(5,1),(13,1),(14,1),(15,1),(26,1)}
       9:{3,5,6}:{(4,1),(5,1),(13,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(15,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,4,5}:{(8,1),(10,1),(20,1)}
      15:{2,4,5}:{(8,1),(11,1),(21,1)}
      16:{1,3,5,6}:{(9,1),(10,1),(20,1),(23,1),(28,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(21,1),(23,1),(28,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(18,1),(25,1),(26,1),(27,1)}
      23:{1,2,5,6}:{(16,1),(17,1),(18,1),(25,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(22,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

397 :  0:{2,3,4,6}:{(1,1),(2,1),(9,1),(22,1),(24,1),(35,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(17,1)}
       2:{2,3,5}:{(0,1),(5,1),(6,1),(18,1),(38,1)}
       3:{2,3,5,6}:{(2,1),(8,1),(9,1),(13,1),(22,1)}
       4:{1,3,6}:{(1,1),(10,1),(22,1)}
       5:{1,2,5}:{(1,1),(2,1),(10,1)}
       6:{2,4,5}:{(2,1),(9,1),(12,1)}
       7:{2,4,5,6}:{(9,1),(13,1)}
       8:{1,2,5,6}:{(3,1),(5,1),(14,1),(15,1),(20,1),(38,1)}
       9:{2,4,6}:{(3,1),(6,1),(16,1)}
      10:{1,3,5}:{(4,1),(5,1),(17,1),(18,1)}
      11:{1,2,4,5}:{(5,1),(6,1),(15,1),(17,1),(18,1),(19,1),(27,1),(32,1),(33,1),(38,1)}
      12:{3,4,5}:{(6,1),(16,1),(18,1),(19,1)}
      13:{3,5,6}:{(7,1),(16,1),(20,1)}
      14:{1,3,5,6}:{(8,1),(10,1),(21,1),(22,1),(34,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(11,1),(21,1),(22,1),(23,1),(35,1),(36,1)}
      16:{3,4,6}:{(9,1),(12,1),(13,1),(22,1),(23,1)}
      17:{1,4}:{(10,1),(24,1)}
      18:{3,5}:{(11,1),(22,1),(24,1)}
      19:{1,4,5}:{(12,1),(23,1),(25,1)}
      20:{1,5,6}:{(13,1),(23,1)}
      21:{1,4,6}:{(14,1),(17,1),(27,1),(28,1)}
      22:{3,6}:{(15,1),(18,1)}
      23:{1,4,6}:{(16,1),(19,1),(20,1),(29,1)}
      24:{3,4}:{(17,1),(18,1),(32,1)}
      25:{1,3,5}:{(18,1),(19,1),(29,1),(31,1),(33,1)}
      26:{2,3,5}:{(18,1),(30,1),(32,1),(33,1),(38,1),(39,1)}
      27:{1,4,5}:{(21,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      29:{1,3,6}:{(22,1),(23,1),(25,1),(36,1)}
      30:{2,3,6}:{(22,1),(26,1),(35,1),(36,1)}
      31:{1,3,4}:{(24,1),(25,1),(37,1)}
      32:{2,4}:{(24,1),(26,1)}
      33:{1,2,5}:{(25,1),(26,1),(36,1),(37,1)}
      34:{3,5}:{(27,1),(28,1),(38,1)}
      35:{2,4,6}:{(28,1),(30,1),(32,1),(38,1)}
      36:{1,2,6}:{(29,1),(30,1),(33,1)}
      37:{1,2,4}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,5}:{(34,1),(35,1)}
      39:{2,3}:{(37,1)}

398 :  0:{1,3,4,5}:{(1,1),(2,1),(23,1),(43,1),(49,1)}
       1:{1,2,4,5}:{(0,1),(4,1),(5,1),(17,1),(37,1),(39,1)}
       2:{1,3,4,6}:{(0,1),(5,1),(6,1),(40,1)}
       3:{2,3,4,5}:{(7,1),(8,1),(10,1),(29,1),(63,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(11,1),(12,1),(30,1)}
       6:{1,3,5,6}:{(2,1),(12,1),(13,1),(31,1),(43,1)}
       7:{1,2,4,5}:{(3,1),(14,1),(15,1),(17,1),(37,1),(53,1)}
       8:{2,3,4,6}:{(3,1),(15,1),(16,1),(54,1)}
       9:{1,2,3,5}:{(4,1),(14,1),(17,1),(18,1),(37,1)}
      10:{2,3,4}:{(4,1),(17,1)}
      11:{2,3,6}:{(4,1),(5,1)}
      12:{1,2,5,6}:{(5,1),(6,1),(20,1),(37,1)}
      13:{1,4,5,6}:{(6,1),(22,1),(53,1)}
      14:{1,3,5}:{(7,1),(23,1),(24,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(44,1)}
      16:{2,3,5,6}:{(8,1),(25,1),(26,1),(29,1),(45,1)}
      17:{1,2,4}:{(9,1),(10,1),(23,1)}
      18:{1,2,3,6}:{(9,1),(11,1),(24,1),(27,1)}
      19:{2,3,4,6}:{(10,1),(11,1),(27,1),(29,1),(30,1),(48,1)}
      20:{2,3,5,6}:{(11,1),(12,1),(29,1),(30,1),(31,1)}
      21:{1,2,4,5,6}:{(12,1),(13,1),(30,1),(31,1),(32,1),(47,1),(50,1),(52,1)}
      22:{3,4,5,6}:{(13,1),(31,1),(32,1),(63,1)}
      23:{1,3,4}:{(14,1),(17,1)}
      24:{1,3,6}:{(14,1),(15,1)}
      25:{1,2,5,6}:{(15,1),(16,1),(34,1),(37,1)}
      26:{2,4,5,6}:{(16,1),(36,1),(39,1)}
      27:{1,2,4,6}:{(17,1),(18,1),(19,1),(33,1),(37,1)}
      28:{1,2,3,5,6}:{(18,1),(20,1),(34,1),(37,1),(38,1),(41,1),(56,1),(57,1),(75,1),(76,1)}
      29:{2,3,5}:{(19,1),(37,1),(39,1),(57,1)}
      30:{2,4,6}:{(20,1),(39,1),(40,1)}
      31:{3,5,6}:{(21,1),(40,1),(57,1)}
      32:{2,4,5,6}:{(22,1),(42,1),(73,1)}
      33:{1,3,4,6}:{(23,1),(24,1),(27,1),(43,1),(44,1),(48,1)}
      34:{1,3,5,6}:{(24,1),(25,1),(43,1),(44,1),(45,1)}
      35:{1,2,4,5,6}:{(25,1),(26,1),(44,1),(45,1),(46,1),(47,1),(65,1),(66,1)}
      36:{3,4,5,6}:{(26,1),(45,1),(46,1),(49,1)}
      37:{1,2,5}:{(27,1),(29,1),(43,1)}
      38:{1,2,4,6}:{(28,1),(30,1),(44,1),(47,1),(48,1),(50,1),(65,1)}
      39:{2,4,5}:{(29,1),(30,1),(49,1)}
      40:{3,4,6}:{(30,1),(31,1),(49,1),(50,1)}
      41:{1,3,5,6}:{(31,1),(50,1),(52,1),(67,1),(71,1)}
      42:{2,3,5,6}:{(31,1),(32,1),(51,1),(52,1),(68,1)}
      43:{1,3,5}:{(33,1),(37,1),(53,1),(57,1)}
      44:{1,4,6}:{(34,1),(53,1),(54,1)}
      45:{3,5,6}:{(35,1),(54,1),(57,1)}
      46:{1,4,5,6}:{(36,1),(55,1),(60,1)}
      47:{1,2,4,5}:{(37,1),(38,1),(39,1),(53,1),(57,1),(60,1),(73,1),(75,1)}
      48:{3,4,6}:{(38,1),(57,1)}
      49:{3,4,5}:{(39,1),(40,1),(57,1),(60,1)}
      50:{1,4,6}:{(40,1),(41,1),(60,1)}
      51:{2,3,4,6}:{(40,1),(42,1),(61,1),(62,1)}
      52:{1,2,5,6}:{(41,1),(42,1),(62,1),(75,1)}
      53:{1,4,5}:{(43,1),(44,1),(63,1)}
      54:{3,4,6}:{(44,1),(45,1),(63,1),(65,1)}
      55:{1,3,5,6}:{(45,1),(46,1),(64,1),(66,1),(67,1)}
      56:{2,3,5,6}:{(45,1),(65,1),(66,1),(68,1),(79,1)}
      57:{3,5}:{(47,1),(48,1)}
      58:{1,3,4,6}:{(48,1),(50,1),(67,1),(69,1),(71,1),(81,1)}
      59:{2,3,4,6}:{(48,1),(65,1),(68,1),(69,1),(79,1),(84,1)}
      60:{1,4,5}:{(49,1),(50,1),(67,1)}
      61:{2,3,4,5}:{(49,1),(51,1),(68,1),(70,1),(84,1)}
      62:{1,2,4,6}:{(50,1),(51,1),(52,1),(70,1),(71,1)}
      63:{3,4,5}:{(53,1),(54,1),(57,1),(73,1)}
      64:{1,3,4,6}:{(54,1),(55,1),(72,1),(74,1)}
      65:{2,4,6}:{(54,1),(56,1),(73,1)}
      66:{1,2,5,6}:{(55,1),(56,1),(74,1),(75,1)}
      67:{1,3,5}:{(57,1),(58,1),(60,1),(75,1)}
      68:{2,3,5}:{(57,1),(59,1),(73,1),(75,1)}
      69:{1,2,4,6}:{(58,1),(59,1),(75,1),(76,1),(83,1)}
      70:{1,2,4,5}:{(60,1),(61,1),(62,1),(75,1),(77,1),(83,1)}
      71:{1,3,6}:{(62,1),(77,1)}
      72:{1,3,4,5}:{(63,1),(64,1),(67,1),(78,1),(81,1)}
      73:{2,4,5}:{(63,1),(65,1),(68,1)}
      74:{1,2,4,6}:{(64,1),(65,1),(66,1),(78,1),(79,1)}
      75:{1,2,5}:{(67,1),(68,1),(69,1)}
      76:{1,2,3,6}:{(69,1),(71,1),(79,1),(80,1)}
      77:{1,3,5}:{(70,1),(71,1),(81,1)}
      78:{1,2,4,5}:{(72,1),(73,1),(74,1),(75,1),(82,1),(83,1)}
      79:{2,3,6}:{(74,1),(82,1)}
      80:{1,2,3,5}:{(75,1),(76,1),(77,1),(82,1),(83,1)}
      81:{1,3,4}:{(77,1),(83,1)}
      82:{2,3,5}:{(78,1),(79,1),(84,1)}
      83:{1,2,4}:{(80,1),(81,1),(84,1)}
      84:{2,3,4}:{(82,1),(83,1)}

399 :  0:{1,3,4,6}:{(4,1),(5,1),(7,1),(22,1),(24,1),(31,1)}
       1:{1,3,5,6}:{(5,1),(6,1),(7,1),(9,1),(22,1)}
       2:{2,3,5,6}:{(6,1),(8,1),(18,1),(21,1),(22,1)}
       3:{1,4,5,6}:{(7,1),(9,1)}
       4:{1,2,4,6}:{(0,1),(10,1),(11,1),(25,1)}
       5:{1,3,5}:{(0,1),(11,1),(12,1),(26,1),(28,1)}
       6:{1,2,5,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(28,1)}
       7:{1,4,6}:{(1,1),(12,1),(15,1)}
       8:{2,4,6}:{(2,1),(13,1),(16,1),(25,1)}
       9:{3,5,6}:{(3,1),(15,1),(17,1)}
      10:{2,3,6}:{(4,1),(18,1),(22,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,4,5}:{(5,1),(7,1),(20,1)}
      13:{2,4,5}:{(8,1),(21,1)}
      14:{1,2,4,6}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(24,1),(34,1)}
      15:{3,4,6}:{(7,1),(9,1),(20,1),(22,1),(23,1)}
      16:{3,4,6}:{(8,1),(21,1),(22,1),(24,1),(31,1)}
      17:{2,5,6}:{(9,1),(23,1)}
      18:{2,3,5}:{(10,1),(11,1),(25,1),(26,1)}
      19:{1,2,4,5}:{(11,1),(12,1),(13,1),(14,1),(25,1),(26,1),(27,1),(28,1),(35,1),(37,1)}
      20:{3,4,5}:{(12,1),(15,1),(26,1),(27,1)}
      21:{3,5}:{(13,1),(16,1),(28,1)}
      22:{3,6}:{(14,1),(26,1)}
      23:{2,4,6}:{(15,1),(17,1),(27,1),(30,1)}
      24:{1,4,6}:{(16,1),(28,1),(29,1),(35,1)}
      25:{2,4}:{(18,1),(31,1)}
      26:{3,5}:{(19,1),(22,1),(31,1)}
      27:{2,4,5}:{(20,1),(23,1),(33,1)}
      28:{1,5}:{(21,1),(24,1)}
      29:{1,3,6}:{(22,1),(24,1),(32,1),(34,1)}
      30:{2,3,6}:{(22,1),(23,1),(33,1),(34,1)}
      31:{3,4}:{(25,1),(26,1),(35,1)}
      32:{1,3,5}:{(26,1),(28,1),(29,1),(35,1),(37,1),(39,1)}
      33:{2,3,5}:{(26,1),(27,1),(30,1),(36,1),(37,1)}
      34:{1,2,6}:{(29,1),(30,1),(37,1)}
      35:{1,4}:{(31,1),(32,1)}
      36:{2,3,4}:{(31,1),(33,1),(38,1)}
      37:{1,2,5}:{(32,1),(33,1),(34,1),(38,1)}
      38:{1,2,4}:{(35,1),(36,1),(37,1),(39,1)}
      39:{1,3}:{(38,1)}

400 :  0:{1,2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(20,1)}
       1:{3,5,6}:{(0,1),(2,1),(25,1)}
       2:{3,4,6}:{(1,1),(6,1),(7,1),(8,1),(21,1),(28,1)}
       3:{1,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(21,1),(27,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1),(18,1),(21,1),(22,1)}
       5:{1,3,4,6}:{(7,1),(10,1),(11,1),(21,1),(28,1)}
       6:{3,4,5}:{(2,1),(13,1),(14,1),(25,1)}
       7:{1,4,6}:{(2,1),(3,1),(13,1),(29,1)}
       8:{2,4,6}:{(2,1),(4,1),(14,1),(26,1)}
       9:{1,2,5,6}:{(3,1),(4,1),(15,1),(16,1),(23,1)}
      10:{1,3,5}:{(5,1),(13,1),(16,1),(25,1)}
      11:{1,2,4,6}:{(5,1),(16,1),(17,1),(26,1)}
      12:{2,3,4,6}:{(8,1),(18,1),(19,1),(21,1),(28,1)}
      13:{1,4,5}:{(6,1),(7,1),(10,1)}
      14:{2,4,5}:{(6,1),(8,1),(18,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(9,1),(20,1),(21,1)}
      16:{1,2,5}:{(10,1),(11,1),(22,1)}
      17:{2,3,6}:{(11,1),(21,1),(22,1)}
      18:{2,3,5}:{(12,1),(14,1),(23,1),(25,1)}
      19:{1,2,4,6}:{(12,1),(23,1),(24,1),(29,1)}
      20:{1,2,4,5}:{(13,1),(14,1),(15,1),(16,1),(23,1),(25,1),(26,1),(29,1)}
      21:{3,6}:{(15,1),(25,1)}
      22:{2,3,5}:{(16,1),(17,1),(25,1),(26,1)}
      23:{1,2,5}:{(18,1),(19,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{3,5}:{(20,1),(21,1),(28,1)}
      26:{2,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{3,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

401 :  0:{1,2,3,6}:{(2,1),(3,1),(32,1),(43,1)}
       1:{1,3,4,6}:{(3,1),(4,1),(11,1),(15,1),(32,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(19,1),(22,1),(38,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       4:{1,3,5}:{(1,1),(7,1),(8,1),(22,1)}
       5:{2,3,4,6}:{(3,1),(10,1),(11,1),(28,1),(32,1)}
       6:{1,2,4}:{(2,1),(11,1)}
       7:{1,2,5}:{(3,1),(4,1),(10,1)}
       8:{1,4,5}:{(4,1),(14,1),(15,1)}
       9:{1,3,5,6}:{(4,1),(13,1),(15,1),(26,1),(32,1)}
      10:{2,3,5}:{(5,1),(7,1),(17,1),(22,1)}
      11:{3,4}:{(6,1),(22,1)}
      12:{1,2,4,5}:{(6,1),(7,1),(8,1),(17,1),(22,1),(23,1),(24,1),(36,1),(38,1)}
      13:{1,2,5,6}:{(7,1),(9,1),(18,1),(23,1),(34,1),(44,1)}
      14:{3,4,5}:{(8,1),(22,1),(24,1),(25,1)}
      15:{1,4,6}:{(8,1),(9,1),(25,1)}
      16:{1,4,5,6}:{(15,1),(26,1)}
      17:{2,4,5}:{(10,1),(27,1),(28,1)}
      18:{2,3,5,6}:{(10,1),(13,1),(28,1),(32,1),(41,1)}
      19:{1,2,3}:{(29,1)}
      20:{2,3,4}:{(11,1),(29,1),(30,1)}
      21:{1,3,4}:{(11,1),(29,1),(31,1)}
      22:{3,5}:{(11,1),(12,1),(32,1)}
      23:{1,2,4,6}:{(12,1),(13,1),(15,1),(28,1),(32,1),(33,1),(42,1),(43,1)}
      24:{2,4,5}:{(14,1),(30,1),(33,1)}
      25:{3,4,6}:{(14,1),(15,1),(26,1),(32,1),(33,1)}
      26:{3,5,6}:{(16,1),(25,1),(34,1)}
      27:{3,4,5}:{(17,1),(22,1),(36,1),(37,1)}
      28:{2,4,6}:{(17,1),(18,1),(37,1)}
      29:{1,2,4}:{(19,1),(20,1),(21,1),(38,1)}
      30:{2,3,5}:{(20,1),(22,1),(24,1),(38,1),(39,1)}
      31:{1,3,5}:{(21,1),(22,1),(36,1),(38,1),(40,1)}
      32:{3,6}:{(22,1),(23,1)}
      33:{2,4,6}:{(24,1),(25,1),(34,1),(39,1)}
      34:{2,5,6}:{(26,1),(33,1)}
      35:{2,4,5,6}:{(28,1),(41,1)}
      36:{1,4,5}:{(27,1),(31,1),(42,1)}
      37:{3,4,6}:{(27,1),(28,1),(32,1),(41,1),(42,1)}
      38:{1,2,5}:{(29,1),(30,1),(31,1),(43,1)}
      39:{2,3,6}:{(30,1),(32,1),(33,1),(43,1)}
      40:{1,3,6}:{(31,1),(32,1),(42,1),(43,1)}
      41:{3,5,6}:{(35,1),(37,1),(44,1)}
      42:{1,4,6}:{(36,1),(37,1),(40,1),(44,1)}
      43:{1,2,6}:{(38,1),(39,1),(40,1)}
      44:{1,5,6}:{(41,1),(42,1)}

402 :  0:{1,4,5,6}:{(3,1),(16,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(16,1),(30,1),(31,1),(37,1)}
       2:{3,4,5}:{(7,1),(8,1),(9,1),(25,1)}
       3:{3,5,6}:{(0,1),(7,1),(11,1)}
       4:{1,3,5}:{(1,1),(8,1),(12,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(12,1),(13,1),(27,1)}
       6:{2,3,4}:{(14,1),(15,1),(31,1)}
       7:{3,4,6}:{(2,1),(3,1),(16,1),(17,1),(30,1)}
       8:{1,4,5}:{(2,1),(4,1),(16,1)}
       9:{2,4,5}:{(2,1),(14,1),(17,1)}
      10:{1,3,5,6}:{(3,1),(4,1),(16,1),(19,1),(30,1)}
      11:{2,5,6}:{(3,1),(17,1)}
      12:{1,2,5}:{(4,1),(5,1),(20,1)}
      13:{2,3,6}:{(5,1),(20,1),(30,1)}
      14:{2,3,5}:{(6,1),(9,1),(21,1),(22,1),(25,1)}
      15:{1,2,4}:{(6,1),(22,1),(23,1),(34,1)}
      16:{1,4,6}:{(7,1),(8,1),(10,1)}
      17:{2,4,6}:{(7,1),(9,1),(11,1),(21,1)}
      18:{1,2,4,5}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(27,1),(34,1),(36,1),(39,1)}
      19:{1,2,5,6}:{(10,1),(11,1),(12,1),(24,1),(26,1),(39,1)}
      20:{2,3,5}:{(12,1),(13,1),(25,1),(27,1)}
      21:{2,3,6}:{(14,1),(17,1),(28,1),(30,1)}
      22:{1,2,5}:{(14,1),(15,1),(28,1),(29,1)}
      23:{1,3}:{(15,1)}
      24:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(28,1),(30,1),(32,1),(37,1)}
      25:{3,5}:{(18,1),(30,1),(31,1)}
      26:{2,3,5,6}:{(19,1),(20,1),(30,1),(32,1),(38,1)}
      27:{2,4}:{(20,1),(31,1)}
      28:{1,2,6}:{(21,1),(22,1),(33,1)}
      29:{1,3,5}:{(22,1),(23,1),(25,1),(33,1),(34,1),(39,1)}
      30:{3,6}:{(24,1),(25,1)}
      31:{3,4}:{(25,1),(27,1),(34,1)}
      32:{2,4,6}:{(26,1),(27,1),(35,1),(36,1)}
      33:{1,3,6}:{(28,1),(29,1),(30,1),(37,1)}
      34:{1,4}:{(29,1),(31,1)}
      35:{3,4,6}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{2,4,5}:{(32,1),(38,1)}
      37:{1,4,6}:{(33,1),(34,1),(35,1),(39,1)}
      38:{3,5}:{(35,1),(36,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

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

404 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(16,1)}
       1:{3,5,6}:{(0,1),(2,1),(22,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(14,1),(19,1),(26,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(15,1),(19,1),(25,1)}
       5:{3,4,5}:{(2,1),(9,1),(10,1),(22,1)}
       6:{1,4,6}:{(2,1),(3,1),(9,1),(29,1)}
       7:{2,4,6}:{(2,1),(4,1),(10,1),(28,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(21,1)}
       9:{1,4,5}:{(5,1),(6,1),(14,1)}
      10:{2,4,5}:{(5,1),(7,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(14,1),(17,1),(19,1),(27,1)}
      12:{2,3,4,6}:{(7,1),(15,1),(18,1),(19,1),(27,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(16,1),(19,1)}
      14:{1,3,5}:{(9,1),(11,1),(20,1),(22,1)}
      15:{2,3,5}:{(10,1),(12,1),(21,1),(22,1)}
      16:{1,2,4,5}:{(9,1),(10,1),(13,1),(20,1),(21,1),(22,1),(28,1),(29,1)}
      17:{1,2,4,6}:{(11,1),(20,1),(23,1),(28,1)}
      18:{1,2,4,6}:{(12,1),(21,1),(24,1),(29,1)}
      19:{3,6}:{(13,1),(22,1)}
      20:{1,2,5}:{(14,1),(17,1),(25,1)}
      21:{1,2,5}:{(15,1),(18,1),(26,1)}
      22:{3,5}:{(16,1),(19,1),(27,1)}
      23:{2,3,6}:{(17,1),(19,1),(25,1)}
      24:{1,3,6}:{(18,1),(19,1),(26,1)}
      25:{2,3,5}:{(20,1),(22,1),(23,1),(28,1)}
      26:{1,3,5}:{(21,1),(22,1),(24,1),(29,1)}
      27:{3,4}:{(22,1),(28,1),(29,1)}
      28:{2,4}:{(25,1),(27,1)}
      29:{1,4}:{(26,1),(27,1)}

405 :  0:{3,4,5,6}:{(1,1),(2,1),(12,1),(74,1)}
       1:{1,4,5,6}:{(0,1),(3,1),(78,1)}
       2:{2,4,5,6}:{(0,1),(4,1),(80,1)}
       3:{1,3,5,6}:{(1,1),(8,1),(10,1),(12,1),(70,1)}
       4:{2,3,5,6}:{(2,1),(9,1),(11,1),(12,1),(72,1)}
       5:{1,2,4,5,6}:{(1,1),(2,1),(10,1),(11,1),(12,1),(25,1),(26,1),(49,1)}
       6:{1,3,4,5}:{(8,1),(13,1),(27,1),(52,1),(70,1)}
       7:{2,3,4,5}:{(9,1),(14,1),(27,1),(55,1),(72,1)}
       8:{1,3,4,6}:{(3,1),(6,1),(15,1),(19,1)}
       9:{2,3,4,6}:{(4,1),(7,1),(16,1),(19,1)}
      10:{1,2,5,6}:{(3,1),(15,1),(17,1),(59,1)}
      11:{1,2,5,6}:{(4,1),(16,1),(18,1),(62,1)}
      12:{3,5,6}:{(5,1),(19,1),(64,1)}
      13:{1,2,4,5}:{(6,1),(15,1),(20,1),(37,1),(40,1),(59,1)}
      14:{1,2,4,5}:{(7,1),(16,1),(21,1),(38,1),(42,1),(62,1)}
      15:{1,2,4,6}:{(8,1),(10,1),(13,1),(22,1),(25,1)}
      16:{1,2,4,6}:{(9,1),(11,1),(14,1),(23,1),(26,1)}
      17:{2,3,5,6}:{(10,1),(12,1),(22,1),(25,1),(45,1)}
      18:{1,3,5,6}:{(11,1),(12,1),(23,1),(26,1),(47,1)}
      19:{3,4,6}:{(12,1),(25,1),(26,1),(27,1)}
      20:{2,3,5}:{(13,1),(22,1),(29,1)}
      21:{1,3,5}:{(14,1),(23,1),(31,1)}
      22:{2,3,6}:{(15,1),(20,1)}
      23:{1,3,6}:{(16,1),(21,1)}
      24:{1,2,3,5,6}:{(17,1),(18,1),(32,1),(34,1),(36,1),(59,1),(62,1),(64,1),(79,1),(81,1)}
      25:{2,4,6}:{(17,1),(19,1),(37,1)}
      26:{1,4,6}:{(18,1),(19,1),(38,1)}
      27:{3,4,5}:{(19,1),(37,1),(38,1),(64,1)}
      28:{1,2,3,5}:{(20,1),(32,1),(40,1),(59,1),(66,1)}
      29:{2,3,4}:{(20,1),(40,1)}
      30:{1,2,3,5}:{(21,1),(34,1),(42,1),(62,1),(68,1)}
      31:{1,3,4}:{(21,1),(42,1)}
      32:{1,2,3,6}:{(22,1),(28,1),(44,1),(76,1)}
      33:{2,3,4,6}:{(22,1),(25,1),(29,1),(44,1),(45,1),(48,1)}
      34:{1,2,3,6}:{(23,1),(30,1),(46,1),(77,1)}
      35:{1,3,4,6}:{(23,1),(26,1),(31,1),(46,1),(47,1),(48,1)}
      36:{1,2,4,6}:{(24,1),(25,1),(26,1),(48,1),(49,1),(83,1),(84,1)}
      37:{2,4,5}:{(25,1),(27,1),(45,1)}
      38:{1,4,5}:{(26,1),(27,1),(47,1)}
      39:{3,4,5,6}:{(27,1),(50,1),(51,1),(75,1)}
      40:{1,2,4}:{(28,1),(29,1),(52,1)}
      41:{2,3,4,5}:{(29,1),(45,1),(53,1),(54,1),(74,1)}
      42:{1,2,4}:{(30,1),(31,1),(55,1)}
      43:{1,3,4,5}:{(31,1),(47,1),(56,1),(57,1),(74,1)}
      44:{1,2,4,6}:{(32,1),(33,1),(40,1),(58,1),(59,1)}
      45:{2,3,5}:{(33,1),(37,1),(59,1),(64,1)}
      46:{1,2,4,6}:{(34,1),(35,1),(42,1),(61,1),(62,1)}
      47:{1,3,5}:{(35,1),(38,1),(62,1),(64,1)}
      48:{3,4,6}:{(36,1),(64,1)}
      49:{1,2,4,5}:{(36,1),(37,1),(38,1),(59,1),(62,1),(64,1),(78,1),(80,1)}
      50:{2,4,5,6}:{(37,1),(39,1),(60,1)}
      51:{1,4,5,6}:{(38,1),(39,1),(63,1)}
      52:{1,3,4}:{(40,1),(66,1)}
      53:{1,2,4,5}:{(40,1),(41,1),(59,1),(66,1),(67,1),(78,1)}
      54:{2,3,4,6}:{(41,1),(60,1),(67,1),(82,1)}
      55:{2,3,4}:{(42,1),(68,1)}
      56:{1,2,4,5}:{(42,1),(43,1),(62,1),(68,1),(69,1),(80,1)}
      57:{1,3,4,6}:{(43,1),(63,1),(69,1),(82,1)}
      58:{1,3,4,6}:{(44,1),(48,1),(52,1),(70,1),(76,1),(83,1)}
      59:{1,2,5}:{(44,1),(45,1),(70,1)}
      60:{2,3,5,6}:{(45,1),(50,1),(54,1),(71,1),(75,1)}
      61:{2,3,4,6}:{(46,1),(48,1),(55,1),(72,1),(77,1),(84,1)}
      62:{1,2,5}:{(46,1),(47,1),(72,1)}
      63:{1,3,5,6}:{(47,1),(51,1),(57,1),(73,1),(75,1)}
      64:{3,5}:{(48,1),(49,1)}
      65:{1,2,4,5,6}:{(49,1),(50,1),(51,1),(71,1),(73,1),(75,1),(83,1),(84,1)}
      66:{1,3,5}:{(52,1),(53,1),(76,1)}
      67:{1,2,4,6}:{(53,1),(54,1),(71,1),(76,1),(83,1)}
      68:{2,3,5}:{(55,1),(56,1),(77,1)}
      69:{1,2,4,6}:{(56,1),(57,1),(73,1),(77,1),(84,1)}
      70:{1,3,5}:{(58,1),(59,1),(64,1),(78,1)}
      71:{1,2,5,6}:{(59,1),(60,1),(67,1),(79,1)}
      72:{2,3,5}:{(61,1),(62,1),(64,1),(80,1)}
      73:{1,2,5,6}:{(62,1),(63,1),(69,1),(81,1)}
      74:{3,4,5}:{(64,1),(78,1),(80,1),(82,1)}
      75:{3,5,6}:{(64,1),(65,1),(82,1)}
      76:{1,3,6}:{(66,1),(67,1)}
      77:{2,3,6}:{(68,1),(69,1)}
      78:{1,4,5}:{(70,1),(74,1),(83,1)}
      79:{1,3,5,6}:{(70,1),(71,1),(75,1),(76,1),(83,1)}
      80:{2,4,5}:{(72,1),(74,1),(84,1)}
      81:{2,3,5,6}:{(72,1),(73,1),(75,1),(77,1),(84,1)}
      82:{3,4,6}:{(74,1),(75,1),(83,1),(84,1)}
      83:{1,4,6}:{(78,1),(79,1),(82,1)}
      84:{2,4,6}:{(80,1),(81,1),(82,1)}

406 :  0:{1,3,4,6}:{(2,1),(3,1),(12,1),(29,1),(32,1)}
       1:{2,3,4,6}:{(2,1),(4,1),(13,1),(29,1),(32,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(23,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(24,1)}
       4:{2,3,5}:{(1,1),(8,1),(10,1),(24,1)}
       5:{1,3,5,6}:{(3,1),(11,1),(12,1),(27,1),(29,1)}
       6:{2,3,5,6}:{(4,1),(11,1),(13,1),(28,1),(29,1)}
       7:{1,2,3,6}:{(2,1),(14,1),(29,1),(42,1)}
       8:{1,2,5}:{(2,1),(3,1),(4,1)}
       9:{1,4,5}:{(3,1),(12,1),(16,1)}
      10:{2,4,5}:{(4,1),(13,1),(17,1)}
      11:{1,2,5,6}:{(5,1),(6,1),(8,1),(20,1),(35,1),(36,1)}
      12:{1,4,6}:{(5,1),(9,1),(21,1)}
      13:{2,4,6}:{(6,1),(10,1),(22,1)}
      14:{1,2,3,5}:{(7,1),(8,1),(23,1),(24,1),(41,1),(44,1)}
      15:{1,2,4,5}:{(8,1),(9,1),(10,1),(20,1),(23,1),(24,1),(25,1),(26,1),(41,1)}
      16:{3,4,5}:{(9,1),(21,1),(24,1),(25,1)}
      17:{3,4,5}:{(10,1),(22,1),(24,1),(26,1)}
      18:{1,4,5,6}:{(12,1),(27,1)}
      19:{2,4,5,6}:{(13,1),(28,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(13,1),(15,1),(29,1),(30,1),(31,1),(42,1)}
      21:{3,4,6}:{(12,1),(16,1),(27,1),(29,1),(30,1)}
      22:{3,4,6}:{(13,1),(17,1),(28,1),(29,1),(31,1)}
      23:{1,2,4}:{(14,1),(32,1)}
      24:{3,5}:{(15,1),(29,1),(32,1)}
      25:{2,4,5}:{(16,1),(30,1),(34,1)}
      26:{1,4,5}:{(17,1),(31,1),(33,1)}
      27:{3,5,6}:{(18,1),(21,1),(35,1)}
      28:{3,5,6}:{(19,1),(22,1),(36,1)}
      29:{3,6}:{(20,1),(24,1)}
      30:{2,4,6}:{(21,1),(25,1),(35,1),(38,1)}
      31:{1,4,6}:{(22,1),(26,1),(36,1),(37,1)}
      32:{3,4}:{(23,1),(24,1)}
      33:{1,3,5}:{(24,1),(26,1),(37,1),(39,1),(41,1)}
      34:{2,3,5}:{(24,1),(25,1),(38,1),(40,1),(41,1)}
      35:{2,5,6}:{(27,1),(30,1)}
      36:{1,5,6}:{(28,1),(31,1)}
      37:{1,3,6}:{(29,1),(31,1),(33,1),(42,1)}
      38:{2,3,6}:{(29,1),(30,1),(34,1),(42,1)}
      39:{1,3,4}:{(32,1),(33,1),(43,1)}
      40:{2,3,4}:{(32,1),(34,1),(43,1)}
      41:{1,2,5}:{(33,1),(34,1),(42,1),(43,1)}
      42:{1,2,6}:{(37,1),(38,1),(41,1)}
      43:{1,2,4}:{(39,1),(40,1),(41,1),(44,1)}
      44:{1,2,3}:{(43,1)}

407 :  0:{1,2,3,5,6}:{(1,1),(4,1),(7,1),(19,1),(20,1),(21,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(24,1),(25,1)}
       2:{3,4,6}:{(1,1),(7,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(16,1),(17,1),(19,1)}
       4:{1,2,3,6}:{(9,1),(11,1),(29,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(22,1),(24,1),(29,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(13,1),(22,1),(25,1),(29,1)}
       7:{3,5}:{(2,1),(3,1)}
       8:{1,2,4,5,6}:{(3,1),(14,1),(24,1),(25,1),(26,1)}
       9:{1,2,3,5}:{(4,1),(15,1),(19,1),(27,1)}
      10:{3,4,5}:{(7,1),(16,1),(17,1),(18,1),(27,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(6,1),(15,1),(19,1)}
      12:{2,3,5}:{(5,1),(7,1),(16,1),(19,1),(27,1)}
      13:{1,3,5}:{(6,1),(7,1),(17,1),(19,1),(27,1)}
      14:{3,5,6}:{(7,1),(8,1),(18,1)}
      15:{1,2,4}:{(9,1),(22,1)}
      16:{2,4,5}:{(10,1),(12,1),(24,1)}
      17:{1,4,5}:{(10,1),(13,1),(25,1)}
      18:{3,4,6}:{(10,1),(14,1),(24,1),(25,1),(29,1)}
      19:{1,2,5}:{(11,1),(12,1),(13,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(29,1)}
      21:{1,3,5,6}:{(13,1),(14,1),(25,1),(26,1),(29,1)}
      22:{3,4}:{(15,1),(27,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(17,1),(19,1),(27,1),(28,1)}
      24:{2,4,6}:{(16,1),(18,1),(20,1)}
      25:{1,4,6}:{(17,1),(18,1),(21,1)}
      26:{1,2,5,6}:{(19,1),(20,1),(21,1),(28,1)}
      27:{3,5}:{(22,1),(23,1),(29,1)}
      28:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(29,1)}
      29:{3,6}:{(27,1),(28,1)}

408 :  0:{2,4,5,6}:{(2,1),(15,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(15,1),(29,1),(32,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(7,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(25,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(26,1)}
       6:{3,4,6}:{(2,1),(3,1),(14,1),(15,1),(29,1)}
       7:{1,5,6}:{(2,1),(14,1)}
       8:{2,3,5,6}:{(2,1),(4,1),(15,1),(16,1),(29,1)}
       9:{1,4,5}:{(3,1),(14,1),(17,1)}
      10:{2,4,5}:{(3,1),(4,1),(15,1)}
      11:{1,2,5}:{(4,1),(5,1),(19,1)}
      12:{1,3,6}:{(5,1),(19,1),(29,1)}
      13:{1,3,4}:{(17,1),(20,1),(32,1)}
      14:{1,4,6}:{(6,1),(7,1),(9,1),(21,1)}
      15:{2,4,6}:{(6,1),(8,1),(10,1)}
      16:{1,2,5,6}:{(7,1),(8,1),(11,1),(22,1),(23,1),(39,1)}
      17:{1,3,5}:{(9,1),(13,1),(21,1),(24,1),(25,1)}
      18:{1,2,4,5}:{(9,1),(10,1),(11,1),(22,1),(24,1),(25,1),(26,1),(35,1),(36,1),(39,1)}
      19:{1,3,5}:{(11,1),(12,1),(25,1),(26,1)}
      20:{1,2,4}:{(13,1),(24,1),(27,1),(36,1)}
      21:{1,3,6}:{(14,1),(17,1),(28,1),(29,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(28,1),(29,1),(30,1),(37,1)}
      23:{1,3,5,6}:{(16,1),(19,1),(29,1),(30,1),(38,1)}
      24:{1,2,5}:{(17,1),(20,1),(28,1),(31,1)}
      25:{3,5}:{(18,1),(29,1),(32,1)}
      26:{1,4}:{(19,1),(32,1)}
      27:{2,3}:{(20,1)}
      28:{1,2,6}:{(21,1),(24,1),(33,1)}
      29:{3,6}:{(22,1),(25,1)}
      30:{1,4,6}:{(23,1),(26,1),(34,1),(35,1)}
      31:{2,3,5}:{(24,1),(25,1),(27,1),(33,1),(36,1),(39,1)}
      32:{3,4}:{(25,1),(26,1),(36,1)}
      33:{2,3,6}:{(28,1),(29,1),(31,1),(37,1)}
      34:{3,4,6}:{(29,1),(30,1),(32,1),(37,1),(38,1)}
      35:{1,4,5}:{(30,1),(38,1)}
      36:{2,4}:{(31,1),(32,1)}
      37:{2,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

409 :  0:{1,2,3,6}:{(2,1),(3,1),(29,1),(43,1)}
       1:{2,3,4,6}:{(2,1),(4,1),(14,1),(15,1),(29,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(21,1),(39,1),(40,1)}
       4:{2,3,5}:{(1,1),(6,1),(9,1),(21,1)}
       5:{1,3,4,6}:{(2,1),(11,1),(14,1),(27,1),(29,1)}
       6:{1,2,5}:{(2,1),(4,1),(11,1)}
       7:{1,2,4}:{(3,1),(14,1)}
       8:{2,3,5,6}:{(4,1),(12,1),(15,1),(17,1),(29,1)}
       9:{2,4,5}:{(4,1),(15,1),(16,1)}
      10:{2,4,5,6}:{(15,1),(17,1)}
      11:{1,3,5}:{(5,1),(6,1),(19,1),(21,1)}
      12:{1,2,5,6}:{(6,1),(8,1),(18,1),(20,1),(26,1),(44,1)}
      13:{1,2,4,5}:{(6,1),(7,1),(9,1),(19,1),(20,1),(21,1),(25,1),(36,1),(39,1)}
      14:{3,4}:{(7,1),(21,1)}
      15:{2,4,6}:{(8,1),(9,1),(24,1)}
      16:{3,4,5}:{(9,1),(21,1),(24,1),(25,1)}
      17:{3,5,6}:{(10,1),(24,1),(26,1)}
      18:{1,3,5,6}:{(11,1),(12,1),(27,1),(29,1),(41,1)}
      19:{1,4,5}:{(11,1),(27,1),(28,1)}
      20:{1,2,4,6}:{(12,1),(13,1),(15,1),(27,1),(29,1),(33,1),(42,1),(43,1)}
      21:{3,5}:{(13,1),(14,1),(29,1)}
      22:{1,3,4}:{(14,1),(30,1),(32,1)}
      23:{2,3,4}:{(14,1),(31,1),(32,1)}
      24:{3,4,6}:{(15,1),(16,1),(17,1),(29,1),(33,1)}
      25:{1,4,5}:{(16,1),(30,1),(33,1)}
      26:{1,5,6}:{(17,1),(33,1)}
      27:{1,4,6}:{(18,1),(19,1),(35,1)}
      28:{3,4,5}:{(19,1),(21,1),(35,1),(36,1)}
      29:{3,6}:{(20,1),(21,1)}
      30:{1,3,5}:{(21,1),(22,1),(25,1),(37,1),(39,1)}
      31:{2,3,5}:{(21,1),(23,1),(36,1),(38,1),(39,1)}
      32:{1,2,4}:{(22,1),(23,1),(39,1),(40,1)}
      33:{1,4,6}:{(24,1),(25,1),(26,1),(37,1)}
      34:{1,4,5,6}:{(27,1),(41,1)}
      35:{3,4,6}:{(27,1),(28,1),(29,1),(41,1),(42,1)}
      36:{2,4,5}:{(28,1),(31,1),(42,1)}
      37:{1,3,6}:{(29,1),(30,1),(33,1),(43,1)}
      38:{2,3,6}:{(29,1),(31,1),(42,1),(43,1)}
      39:{1,2,5}:{(30,1),(31,1),(32,1),(43,1)}
      40:{1,2,3}:{(32,1)}
      41:{3,5,6}:{(34,1),(35,1),(44,1)}
      42:{2,4,6}:{(35,1),(36,1),(38,1),(44,1)}
      43:{1,2,6}:{(37,1),(38,1),(39,1)}
      44:{2,5,6}:{(41,1),(42,1)}

410 :  0:{1,4,5,6}:{(2,1),(14,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(14,1),(29,1),(32,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(25,1)}
       4:{1,3,5}:{(1,1),(9,1),(11,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(26,1)}
       6:{3,4,6}:{(2,1),(3,1),(14,1),(15,1),(29,1)}
       7:{1,3,5,6}:{(2,1),(4,1),(14,1),(16,1),(29,1)}
       8:{2,5,6}:{(2,1),(15,1)}
       9:{1,4,5}:{(3,1),(4,1),(14,1)}
      10:{2,4,5}:{(3,1),(15,1),(17,1)}
      11:{1,2,5}:{(4,1),(5,1),(19,1)}
      12:{2,3,6}:{(5,1),(19,1),(29,1)}
      13:{2,3,4}:{(17,1),(20,1),(32,1)}
      14:{1,4,6}:{(6,1),(7,1),(9,1)}
      15:{2,4,6}:{(6,1),(8,1),(10,1),(21,1)}
      16:{1,2,5,6}:{(7,1),(8,1),(11,1),(22,1),(23,1),(39,1)}
      17:{2,3,5}:{(10,1),(13,1),(21,1),(24,1),(25,1)}
      18:{1,2,4,5}:{(9,1),(10,1),(11,1),(22,1),(24,1),(25,1),(26,1),(35,1),(36,1),(39,1)}
      19:{2,3,5}:{(11,1),(12,1),(25,1),(26,1)}
      20:{1,2,4}:{(13,1),(24,1),(27,1),(36,1)}
      21:{2,3,6}:{(15,1),(17,1),(28,1),(29,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(28,1),(29,1),(30,1),(37,1)}
      23:{2,3,5,6}:{(16,1),(19,1),(29,1),(30,1),(38,1)}
      24:{1,2,5}:{(17,1),(20,1),(28,1),(31,1)}
      25:{3,5}:{(18,1),(29,1),(32,1)}
      26:{2,4}:{(19,1),(32,1)}
      27:{1,3}:{(20,1)}
      28:{1,2,6}:{(21,1),(24,1),(33,1)}
      29:{3,6}:{(22,1),(25,1)}
      30:{2,4,6}:{(23,1),(26,1),(34,1),(35,1)}
      31:{1,3,5}:{(24,1),(25,1),(27,1),(33,1),(36,1),(39,1)}
      32:{3,4}:{(25,1),(26,1),(36,1)}
      33:{1,3,6}:{(28,1),(29,1),(31,1),(37,1)}
      34:{3,4,6}:{(29,1),(30,1),(32,1),(37,1),(38,1)}
      35:{2,4,5}:{(30,1),(38,1)}
      36:{1,4}:{(31,1),(32,1)}
      37:{1,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

411 :  0:{1,2,3,6}:{(2,1),(3,1),(29,1),(43,1)}
       1:{1,3,4,6}:{(2,1),(4,1),(14,1),(15,1),(29,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(21,1),(39,1),(40,1)}
       4:{1,3,5}:{(1,1),(6,1),(9,1),(21,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(14,1),(27,1),(29,1)}
       6:{1,2,5}:{(2,1),(4,1),(11,1)}
       7:{1,2,4}:{(3,1),(14,1)}
       8:{1,3,5,6}:{(4,1),(12,1),(15,1),(17,1),(29,1)}
       9:{1,4,5}:{(4,1),(15,1),(16,1)}
      10:{1,4,5,6}:{(15,1),(17,1)}
      11:{2,3,5}:{(5,1),(6,1),(19,1),(21,1)}
      12:{1,2,5,6}:{(6,1),(8,1),(18,1),(20,1),(26,1),(44,1)}
      13:{1,2,4,5}:{(6,1),(7,1),(9,1),(19,1),(20,1),(21,1),(25,1),(36,1),(39,1)}
      14:{3,4}:{(7,1),(21,1)}
      15:{1,4,6}:{(8,1),(9,1),(24,1)}
      16:{3,4,5}:{(9,1),(21,1),(24,1),(25,1)}
      17:{3,5,6}:{(10,1),(24,1),(26,1)}
      18:{2,3,5,6}:{(11,1),(12,1),(27,1),(29,1),(41,1)}
      19:{2,4,5}:{(11,1),(27,1),(28,1)}
      20:{1,2,4,6}:{(12,1),(13,1),(15,1),(27,1),(29,1),(33,1),(42,1),(43,1)}
      21:{3,5}:{(13,1),(14,1),(29,1)}
      22:{1,3,4}:{(14,1),(30,1),(32,1)}
      23:{2,3,4}:{(14,1),(31,1),(32,1)}
      24:{3,4,6}:{(15,1),(16,1),(17,1),(29,1),(33,1)}
      25:{2,4,5}:{(16,1),(31,1),(33,1)}
      26:{2,5,6}:{(17,1),(33,1)}
      27:{2,4,6}:{(18,1),(19,1),(35,1)}
      28:{3,4,5}:{(19,1),(21,1),(35,1),(36,1)}
      29:{3,6}:{(20,1),(21,1)}
      30:{1,3,5}:{(21,1),(22,1),(36,1),(37,1),(39,1)}
      31:{2,3,5}:{(21,1),(23,1),(25,1),(38,1),(39,1)}
      32:{1,2,4}:{(22,1),(23,1),(39,1),(40,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(38,1)}
      34:{2,4,5,6}:{(27,1),(41,1)}
      35:{3,4,6}:{(27,1),(28,1),(29,1),(41,1),(42,1)}
      36:{1,4,5}:{(28,1),(30,1),(42,1)}
      37:{1,3,6}:{(29,1),(30,1),(42,1),(43,1)}
      38:{2,3,6}:{(29,1),(31,1),(33,1),(43,1)}
      39:{1,2,5}:{(30,1),(31,1),(32,1),(43,1)}
      40:{1,2,3}:{(32,1)}
      41:{3,5,6}:{(34,1),(35,1),(44,1)}
      42:{1,4,6}:{(35,1),(36,1),(37,1),(44,1)}
      43:{1,2,6}:{(37,1),(38,1),(39,1)}
      44:{1,5,6}:{(41,1),(42,1)}

412 :  0:{1,2,3,5,6}:{(1,1),(5,1),(16,1),(17,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(14,1),(15,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(9,1),(20,1),(21,1),(23,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,4,5}:{(5,1),(13,1),(14,1),(15,1),(26,1)}
       9:{3,5,6}:{(4,1),(5,1),(13,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(15,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,4,5}:{(8,1),(10,1),(20,1)}
      15:{2,4,5}:{(8,1),(11,1),(21,1)}
      16:{1,3,5,6}:{(9,1),(10,1),(20,1),(23,1),(28,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(21,1),(23,1),(28,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(18,1),(25,1),(26,1),(27,1)}
      23:{1,2,5,6}:{(16,1),(17,1),(18,1),(25,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(22,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

413 :  0:{1,2,3,5}:{(2,1),(4,1),(6,1),(8,1),(23,1),(26,1),(29,1),(32,1)}
       1:{3,4,5}:{(9,1),(10,1),(11,1),(32,1),(46,1)}
       2:{1,2,3}:{(12,1)}
       3:{2,3,4}:{(12,1),(13,1),(18,1)}
       4:{1,2,3}:{(14,1)}
       5:{1,3,4}:{(14,1),(15,1),(18,1)}
       6:{1,2,3,6}:{(0,1),(16,1),(35,1),(37,1),(41,1)}
       7:{4,5,6}:{(17,1),(51,1)}
       8:{1,2,4}:{(0,1),(18,1)}
       9:{2,4,5}:{(1,1),(13,1),(20,1)}
      10:{1,4,5}:{(1,1),(15,1),(21,1)}
      11:{3,4,6}:{(1,1),(17,1),(20,1),(21,1),(41,1),(51,1)}
      12:{1,2,4}:{(2,1),(3,1),(22,1),(23,1)}
      13:{2,3,5}:{(3,1),(9,1),(23,1),(24,1),(32,1)}
      14:{1,2,4}:{(4,1),(5,1),(25,1),(26,1)}
      15:{1,3,5}:{(5,1),(10,1),(26,1),(27,1),(32,1)}
      16:{1,2,4,6}:{(6,1),(8,1),(28,1),(29,1)}
      17:{3,5,6}:{(7,1),(11,1),(30,1),(31,1)}
      18:{3,4}:{(8,1),(32,1)}
      19:{1,2,4,5}:{(8,1),(9,1),(10,1),(23,1),(26,1),(29,1),(32,1),(33,1),(42,1),(44,1),(46,1)}
      20:{2,4,6}:{(9,1),(11,1),(24,1),(30,1)}
      21:{1,4,6}:{(10,1),(11,1),(27,1),(31,1)}
      22:{1,3,4}:{(12,1),(18,1),(34,1)}
      23:{1,2,5}:{(12,1),(13,1),(34,1),(35,1)}
      24:{2,3,6}:{(13,1),(20,1),(35,1),(41,1)}
      25:{2,3,4}:{(14,1),(18,1),(36,1)}
      26:{1,2,5}:{(14,1),(15,1),(36,1),(37,1)}
      27:{1,3,6}:{(15,1),(21,1),(37,1),(41,1)}
      28:{3,4,6}:{(16,1),(18,1),(38,1),(41,1),(51,1)}
      29:{1,2,5}:{(16,1),(38,1)}
      30:{2,5,6}:{(17,1),(20,1)}
      31:{1,5,6}:{(17,1),(21,1)}
      32:{3,5}:{(18,1),(19,1),(41,1)}
      33:{1,2,4,6}:{(19,1),(20,1),(21,1),(35,1),(37,1),(39,1),(41,1),(49,1),(50,1),(51,1)}
      34:{1,3,5}:{(22,1),(23,1),(32,1),(42,1),(43,1)}
      35:{1,2,6}:{(23,1),(24,1),(43,1)}
      36:{2,3,5}:{(25,1),(26,1),(32,1),(44,1),(45,1)}
      37:{1,2,6}:{(26,1),(27,1),(45,1)}
      38:{3,5}:{(28,1),(29,1),(46,1)}
      39:{1,2,5,6}:{(29,1),(30,1),(31,1),(33,1),(47,1),(53,1),(54,1)}
      40:{3,4,5}:{(32,1),(42,1),(44,1),(46,1),(48,1)}
      41:{3,6}:{(32,1),(33,1)}
      42:{1,4,5}:{(34,1),(40,1),(49,1)}
      43:{1,3,6}:{(34,1),(35,1),(41,1),(49,1)}
      44:{2,4,5}:{(36,1),(40,1),(50,1)}
      45:{2,3,6}:{(36,1),(37,1),(41,1),(50,1)}
      46:{4,5}:{(38,1),(51,1)}
      47:{3,5,6}:{(38,1),(39,1),(41,1),(51,1)}
      48:{3,4,6}:{(40,1),(41,1),(49,1),(50,1),(51,1),(52,1)}
      49:{1,4,6}:{(42,1),(43,1),(48,1),(53,1)}
      50:{2,4,6}:{(44,1),(45,1),(48,1),(54,1)}
      51:{4,6}:{(46,1),(47,1)}
      52:{3,5,6}:{(48,1),(53,1),(54,1),(55,1)}
      53:{1,5,6}:{(49,1),(52,1)}
      54:{2,5,6}:{(50,1),(52,1)}
      55:{4,5,6}:{(51,1),(52,1)}

414 :  0:{1,2,5,6}:{(2,1),(3,1),(22,1),(23,1)}
       1:{1,2,4,5}:{(3,1),(4,1),(10,1),(14,1),(15,1),(16,1),(22,1),(23,1)}
       2:{3,5,6}:{(0,1),(5,1),(6,1),(17,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(18,1),(19,1),(20,1)}
       4:{3,5}:{(1,1),(6,1),(7,1)}
       5:{4,6}:{(2,1),(10,1)}
       6:{3,6}:{(3,1),(4,1)}
       7:{3,4}:{(4,1),(14,1),(15,1),(25,1)}
       8:{1,3,5}:{(4,1),(12,1),(14,1),(16,1),(22,1),(25,1),(28,1)}
       9:{2,3,5}:{(4,1),(13,1),(15,1),(16,1),(23,1),(25,1),(28,1)}
      10:{4,5}:{(5,1),(17,1),(29,1)}
      11:{3,4,6}:{(5,1),(6,1),(7,1),(17,1),(18,1),(19,1),(27,1),(29,1)}
      12:{1,3,6}:{(6,1),(8,1),(18,1),(20,1),(27,1)}
      13:{2,3,6}:{(6,1),(9,1),(19,1),(20,1),(27,1)}
      14:{1,4}:{(7,1),(8,1),(29,1)}
      15:{2,4}:{(7,1),(9,1),(29,1)}
      16:{1,2,5}:{(8,1),(9,1),(20,1),(21,1)}
      17:{3,5}:{(10,1),(11,1),(22,1),(23,1)}
      18:{1,4,6}:{(11,1),(12,1),(14,1),(22,1)}
      19:{2,4,6}:{(11,1),(13,1),(15,1),(23,1)}
      20:{1,2,6}:{(12,1),(13,1),(16,1)}
      21:{1,2,4}:{(14,1),(15,1),(16,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,5}:{(17,1),(19,1)}
      24:{1,2,4,6}:{(18,1),(19,1),(20,1),(21,1),(26,1),(27,1),(29,1)}
      25:{3}:{(21,1)}
      26:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      27:{3,6}:{(24,1),(25,1),(28,1)}
      28:{3,5}:{(26,1),(27,1),(29,1)}
      29:{4}:{(28,1)}

415 :  0:{1,2,3,6}:{(2,1),(4,1),(39,1),(41,1),(43,1)}
       1:{4,5,6}:{(5,1),(44,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(8,1),(10,1),(15,1),(29,1),(32,1),(34,1)}
       3:{3,4,5}:{(11,1),(12,1),(13,1),(34,1),(36,1)}
       4:{1,2,4,6}:{(0,1),(10,1),(14,1),(15,1)}
       5:{3,5,6}:{(1,1),(13,1),(16,1),(17,1)}
       6:{1,2,3}:{(18,1)}
       7:{2,3,4}:{(18,1),(19,1),(22,1)}
       8:{1,2,3}:{(20,1)}
       9:{1,3,4}:{(20,1),(21,1),(22,1)}
      10:{1,2,4}:{(2,1),(22,1)}
      11:{2,4,5}:{(3,1),(19,1),(24,1)}
      12:{1,4,5}:{(3,1),(21,1),(25,1)}
      13:{3,4,6}:{(3,1),(5,1),(24,1),(25,1),(43,1),(44,1)}
      14:{3,4,6}:{(4,1),(22,1),(26,1),(43,1),(44,1)}
      15:{1,2,5}:{(4,1),(26,1)}
      16:{2,5,6}:{(5,1),(24,1)}
      17:{1,5,6}:{(5,1),(25,1)}
      18:{1,2,4}:{(6,1),(7,1),(28,1),(29,1)}
      19:{2,3,5}:{(7,1),(11,1),(29,1),(30,1),(34,1)}
      20:{1,2,4}:{(8,1),(9,1),(31,1),(32,1)}
      21:{1,3,5}:{(9,1),(12,1),(32,1),(33,1),(34,1)}
      22:{3,4}:{(10,1),(34,1)}
      23:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(29,1),(32,1),(34,1),(35,1),(36,1),(45,1),(47,1)}
      24:{2,4,6}:{(11,1),(13,1),(16,1),(30,1)}
      25:{1,4,6}:{(12,1),(13,1),(17,1),(33,1)}
      26:{3,5}:{(14,1),(15,1),(36,1)}
      27:{1,2,5,6}:{(15,1),(16,1),(17,1),(35,1),(37,1),(54,1),(55,1)}
      28:{1,3,4}:{(18,1),(22,1),(38,1)}
      29:{1,2,5}:{(18,1),(19,1),(38,1),(39,1)}
      30:{2,3,6}:{(19,1),(24,1),(39,1),(43,1)}
      31:{2,3,4}:{(20,1),(22,1),(40,1)}
      32:{1,2,5}:{(20,1),(21,1),(40,1),(41,1)}
      33:{1,3,6}:{(21,1),(25,1),(41,1),(43,1)}
      34:{3,5}:{(22,1),(23,1),(43,1)}
      35:{1,2,4,6}:{(23,1),(24,1),(25,1),(27,1),(39,1),(41,1),(43,1),(44,1),(51,1),(52,1)}
      36:{4,5}:{(26,1),(44,1)}
      37:{3,5,6}:{(26,1),(27,1),(43,1),(44,1)}
      38:{1,3,5}:{(28,1),(29,1),(34,1),(45,1),(46,1)}
      39:{1,2,6}:{(29,1),(30,1),(46,1)}
      40:{2,3,5}:{(31,1),(32,1),(34,1),(47,1),(48,1)}
      41:{1,2,6}:{(32,1),(33,1),(48,1)}
      42:{3,4,5}:{(34,1),(36,1),(45,1),(47,1),(49,1)}
      43:{3,6}:{(34,1),(35,1)}
      44:{4,6}:{(36,1),(37,1)}
      45:{1,4,5}:{(38,1),(42,1),(51,1)}
      46:{1,3,6}:{(38,1),(39,1),(43,1),(51,1)}
      47:{2,4,5}:{(40,1),(42,1),(52,1)}
      48:{2,3,6}:{(40,1),(41,1),(43,1),(52,1)}
      49:{3,4,6}:{(42,1),(43,1),(44,1),(51,1),(52,1),(53,1)}
      50:{4,5,6}:{(44,1),(53,1)}
      51:{1,4,6}:{(45,1),(46,1),(49,1),(54,1)}
      52:{2,4,6}:{(47,1),(48,1),(49,1),(55,1)}
      53:{3,5,6}:{(49,1),(50,1),(54,1),(55,1)}
      54:{1,5,6}:{(51,1),(53,1)}
      55:{2,5,6}:{(52,1),(53,1)}

416 :  0:{1,2,3,5,6}:{(1,1),(6,1),(10,1),(11,1),(21,1),(22,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(16,1),(17,1)}
       2:{1,2,4,5,6}:{(3,1),(5,1),(16,1),(17,1),(18,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(19,1),(20,1),(21,1)}
       4:{3,4,6}:{(1,1),(6,1)}
       5:{3,5,6}:{(2,1),(6,1),(9,1)}
       6:{3,5}:{(3,1),(4,1)}
       7:{1,3,4,6}:{(4,1),(13,1),(15,1),(16,1),(26,1),(29,1)}
       8:{2,3,4,6}:{(4,1),(14,1),(15,1),(17,1),(26,1),(29,1)}
       9:{3,4,6}:{(5,1),(12,1),(16,1),(17,1),(26,1)}
      10:{1,3,5,6}:{(5,1),(13,1),(16,1),(18,1),(26,1)}
      11:{2,3,5,6}:{(5,1),(14,1),(17,1),(18,1),(26,1)}
      12:{3,4,5}:{(6,1),(9,1),(19,1),(20,1),(27,1)}
      13:{1,3,5}:{(6,1),(7,1),(19,1),(21,1),(27,1)}
      14:{2,3,5}:{(6,1),(8,1),(20,1),(21,1),(27,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(21,1),(22,1),(28,1)}
      16:{1,4,6}:{(9,1),(10,1),(19,1)}
      17:{2,4,6}:{(9,1),(11,1),(20,1)}
      18:{1,2,5,6}:{(10,1),(11,1),(21,1),(23,1)}
      19:{1,4,5}:{(12,1),(13,1),(16,1)}
      20:{2,4,5}:{(12,1),(14,1),(17,1)}
      21:{1,2,5}:{(13,1),(14,1),(15,1)}
      22:{1,2,3,6}:{(15,1),(25,1),(26,1)}
      23:{1,2,4,6}:{(16,1),(17,1),(18,1),(24,1),(26,1)}
      24:{1,2,4,5}:{(19,1),(20,1),(21,1),(23,1),(27,1),(28,1)}
      25:{1,2,3,5}:{(21,1),(22,1),(27,1),(28,1)}
      26:{3,6}:{(23,1),(27,1)}
      27:{3,5}:{(24,1),(26,1),(29,1)}
      28:{1,2,4}:{(25,1),(29,1)}
      29:{3,4}:{(27,1),(28,1)}

417 :  0:{1,3,4,5}:{(2,1),(3,1),(24,1),(46,1),(66,1)}
       1:{2,3,4,5}:{(4,1),(5,1),(19,1),(42,1),(68,1)}
       2:{1,3,4,6}:{(0,1),(7,1),(8,1),(54,1)}
       3:{1,2,4,5}:{(0,1),(8,1),(9,1),(26,1),(52,1),(55,1)}
       4:{2,3,4,6}:{(1,1),(11,1),(12,1),(57,1)}
       5:{1,2,4,5}:{(1,1),(12,1),(13,1),(26,1),(52,1),(58,1)}
       6:{3,4,5,6}:{(15,1),(16,1),(40,1),(68,1)}
       7:{1,3,5,6}:{(2,1),(15,1),(17,1),(40,1),(46,1)}
       8:{1,2,4,6}:{(2,1),(3,1),(17,1),(18,1),(41,1)}
       9:{2,3,5}:{(3,1),(18,1),(19,1)}
      10:{3,4,5,6}:{(20,1),(21,1),(44,1),(66,1)}
      11:{2,3,5,6}:{(4,1),(21,1),(22,1),(42,1),(44,1)}
      12:{1,2,4,6}:{(4,1),(5,1),(22,1),(23,1),(45,1)}
      13:{1,3,5}:{(5,1),(23,1),(24,1)}
      14:{1,2,3,5}:{(9,1),(13,1),(25,1),(26,1),(52,1)}
      15:{1,4,5,6}:{(6,1),(7,1),(58,1)}
      16:{2,4,5,6}:{(6,1),(27,1),(76,1)}
      17:{1,2,5,6}:{(7,1),(8,1),(29,1),(52,1)}
      18:{2,3,6}:{(8,1),(9,1)}
      19:{2,3,4}:{(9,1),(26,1)}
      20:{1,4,5,6}:{(10,1),(31,1),(75,1)}
      21:{2,4,5,6}:{(10,1),(11,1),(55,1)}
      22:{1,2,5,6}:{(11,1),(12,1),(33,1),(52,1)}
      23:{1,3,6}:{(12,1),(13,1)}
      24:{1,3,4}:{(13,1),(26,1)}
      25:{1,2,3,6}:{(14,1),(18,1),(23,1),(38,1)}
      26:{1,2,4}:{(14,1),(19,1),(24,1)}
      27:{2,3,5,6}:{(16,1),(36,1),(39,1),(40,1),(81,1)}
      28:{1,2,4,5,6}:{(15,1),(16,1),(17,1),(39,1),(40,1),(41,1),(64,1),(65,1)}
      29:{2,3,5,6}:{(17,1),(18,1),(40,1),(41,1),(42,1)}
      30:{2,3,4,6}:{(18,1),(19,1),(38,1),(41,1),(42,1),(63,1)}
      31:{1,3,5,6}:{(20,1),(35,1),(43,1),(44,1),(82,1)}
      32:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(43,1),(44,1),(45,1),(64,1),(67,1)}
      33:{1,3,5,6}:{(22,1),(23,1),(44,1),(45,1),(46,1)}
      34:{1,3,4,6}:{(23,1),(24,1),(38,1),(45,1),(46,1),(63,1)}
      35:{1,3,4,6}:{(31,1),(47,1),(49,1),(57,1)}
      36:{2,3,4,6}:{(27,1),(48,1),(50,1),(54,1)}
      37:{1,2,3,5,6}:{(25,1),(29,1),(33,1),(51,1),(52,1),(53,1),(56,1),(71,1),(74,1),(84,1)}
      38:{1,2,4,6}:{(25,1),(26,1),(30,1),(34,1),(52,1)}
      39:{1,2,5,6}:{(27,1),(50,1),(53,1),(84,1)}
      40:{3,5,6}:{(28,1),(54,1),(74,1)}
      41:{2,4,6}:{(29,1),(54,1),(55,1)}
      42:{2,3,5}:{(30,1),(52,1),(55,1),(74,1)}
      43:{1,2,5,6}:{(31,1),(49,1),(56,1),(84,1)}
      44:{3,5,6}:{(32,1),(57,1),(74,1)}
      45:{1,4,6}:{(33,1),(57,1),(58,1)}
      46:{1,3,5}:{(34,1),(52,1),(58,1),(74,1)}
      47:{1,3,4,5}:{(35,1),(59,1),(68,1),(79,1),(82,1)}
      48:{2,3,4,5}:{(36,1),(60,1),(66,1),(78,1),(81,1)}
      49:{1,2,4,6}:{(35,1),(43,1),(59,1),(61,1),(67,1)}
      50:{1,2,4,6}:{(36,1),(39,1),(60,1),(62,1),(65,1)}
      51:{1,2,4,6}:{(37,1),(41,1),(45,1),(63,1),(64,1),(65,1),(67,1)}
      52:{1,2,5}:{(38,1),(42,1),(46,1)}
      53:{1,3,5,6}:{(39,1),(40,1),(62,1),(65,1),(82,1)}
      54:{3,4,6}:{(40,1),(41,1),(65,1),(66,1)}
      55:{2,4,5}:{(41,1),(42,1),(66,1)}
      56:{2,3,5,6}:{(43,1),(44,1),(61,1),(67,1),(81,1)}
      57:{3,4,6}:{(44,1),(45,1),(67,1),(68,1)}
      58:{1,4,5}:{(45,1),(46,1),(68,1)}
      59:{1,2,4,5}:{(47,1),(49,1),(69,1),(76,1),(83,1),(84,1)}
      60:{1,2,4,5}:{(48,1),(50,1),(70,1),(75,1),(83,1),(84,1)}
      61:{2,3,6}:{(49,1),(69,1)}
      62:{1,3,6}:{(50,1),(70,1)}
      63:{3,4,6}:{(51,1),(74,1)}
      64:{1,2,4,5}:{(51,1),(52,1),(55,1),(58,1),(74,1),(75,1),(76,1),(84,1)}
      65:{1,4,6}:{(53,1),(54,1),(75,1)}
      66:{3,4,5}:{(54,1),(55,1),(74,1),(75,1)}
      67:{2,4,6}:{(56,1),(57,1),(76,1)}
      68:{3,4,5}:{(57,1),(58,1),(74,1),(76,1)}
      69:{2,3,5}:{(59,1),(61,1),(78,1)}
      70:{1,3,5}:{(60,1),(62,1),(79,1)}
      71:{1,2,3,6}:{(61,1),(62,1),(77,1),(80,1)}
      72:{2,3,4,6}:{(61,1),(63,1),(67,1),(78,1),(80,1),(81,1)}
      73:{1,3,4,6}:{(62,1),(63,1),(65,1),(79,1),(80,1),(82,1)}
      74:{3,5}:{(63,1),(64,1)}
      75:{1,4,5}:{(65,1),(66,1),(82,1)}
      76:{2,4,5}:{(67,1),(68,1),(81,1)}
      77:{1,2,3,5}:{(69,1),(70,1),(71,1),(83,1),(84,1)}
      78:{2,3,4}:{(69,1),(83,1)}
      79:{1,3,4}:{(70,1),(83,1)}
      80:{1,2,4,6}:{(71,1),(72,1),(73,1),(83,1),(84,1)}
      81:{2,3,5}:{(72,1),(74,1),(76,1),(84,1)}
      82:{1,3,5}:{(73,1),(74,1),(75,1),(84,1)}
      83:{1,2,4}:{(77,1),(78,1),(79,1)}
      84:{1,2,5}:{(80,1),(81,1),(82,1)}

418 :  0:{1,2,3,4,6}:{(1,1),(4,1),(22,1),(23,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(10,1),(21,1),(22,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{3,4,5}:{(3,1),(7,1)}
       6:{1,2,4,5,6}:{(4,1),(10,1),(19,1),(20,1),(21,1)}
       7:{3,4,6}:{(4,1),(5,1),(10,1)}
       8:{1,3,4,5}:{(5,1),(11,1),(13,1),(32,1)}
       9:{2,3,4,5}:{(5,1),(12,1),(13,1),(32,1)}
      10:{3,5,6}:{(6,1),(7,1)}
      11:{1,3,4,6}:{(7,1),(8,1),(15,1),(17,1),(30,1)}
      12:{2,3,4,6}:{(7,1),(9,1),(16,1),(17,1),(30,1)}
      13:{1,2,4,5}:{(8,1),(9,1),(17,1),(18,1)}
      14:{3,4,5,6}:{(10,1),(19,1),(20,1),(27,1)}
      15:{1,3,5,6}:{(10,1),(11,1),(19,1),(21,1),(27,1)}
      16:{2,3,5,6}:{(10,1),(12,1),(20,1),(21,1),(27,1)}
      17:{1,2,4,6}:{(11,1),(12,1),(13,1),(21,1),(22,1)}
      18:{1,2,3,5}:{(13,1),(22,1),(23,1)}
      19:{1,4,5,6}:{(14,1),(15,1)}
      20:{2,4,5,6}:{(14,1),(16,1)}
      21:{1,2,5,6}:{(15,1),(16,1),(17,1)}
      22:{1,2,3,6}:{(17,1),(18,1)}
      23:{1,2,3,4}:{(18,1)}
      24:{1,2,4,5,6}:{(19,1),(20,1),(21,1),(27,1),(28,1)}
      25:{1,2,3,5,6}:{(21,1),(22,1),(27,1),(28,1),(29,1)}
      26:{1,2,3,4,6}:{(22,1),(23,1),(28,1),(29,1)}
      27:{3,5,6}:{(24,1),(30,1)}
      28:{1,2,4,6}:{(25,1),(30,1),(31,1)}
      29:{1,2,3,5}:{(26,1),(31,1)}
      30:{3,4,6}:{(27,1),(28,1),(32,1)}
      31:{1,2,4,5}:{(28,1),(29,1),(32,1)}
      32:{3,4,5}:{(30,1),(31,1)}

419 : 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:{3,4,5}:{(2,1),(6,1)}
      5:{1,2,4,6}:{(2,1),(3,1),(6,1),(7,1)}
      6:{3,4,6}:{(4,1),(5,1),(8,1)}
      7:{1,2,5,6}:{(5,1),(8,1)}
      8:{3,5,6}:{(6,1),(7,1),(9,1)}
      9:{4,5,6}:{(8,1)}

420 :  0:{1,2,3,5,6}:{(1,1),(5,1),(16,1),(17,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(14,1),(15,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(9,1),(20,1),(21,1),(23,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,4,5}:{(5,1),(13,1),(14,1),(15,1),(26,1)}
       9:{3,5,6}:{(4,1),(5,1),(13,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(15,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,4,5}:{(8,1),(10,1),(20,1)}
      15:{2,4,5}:{(8,1),(11,1),(21,1)}
      16:{1,3,5,6}:{(9,1),(10,1),(20,1),(23,1),(28,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(21,1),(23,1),(28,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(18,1),(25,1),(26,1),(27,1)}
      23:{1,2,5,6}:{(16,1),(17,1),(18,1),(25,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(22,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

421 :  0:{2,3,4,5}:{(2,1),(3,1),(17,1),(37,1),(53,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(13,1),(33,1),(57,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(21,1),(41,1),(43,1)}
       3:{2,3,4,6}:{(0,1),(7,1),(8,1),(44,1)}
       4:{1,2,4,5}:{(1,1),(9,1),(10,1),(21,1),(41,1),(47,1)}
       5:{1,3,4,6}:{(1,1),(10,1),(11,1),(48,1)}
       6:{1,3,5}:{(2,1),(13,1),(14,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(14,1),(15,1),(34,1)}
       8:{2,3,5,6}:{(3,1),(15,1),(16,1),(35,1),(37,1)}
       9:{2,3,5}:{(4,1),(17,1),(18,1)}
      10:{1,2,4,6}:{(4,1),(5,1),(18,1),(19,1),(38,1)}
      11:{1,3,5,6}:{(5,1),(19,1),(20,1),(33,1),(39,1)}
      12:{1,2,3,5}:{(6,1),(9,1),(21,1),(22,1),(41,1)}
      13:{1,3,4}:{(6,1),(21,1)}
      14:{1,3,6}:{(6,1),(7,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(24,1),(41,1)}
      16:{2,4,5,6}:{(8,1),(26,1),(47,1)}
      17:{2,3,4}:{(9,1),(21,1)}
      18:{2,3,6}:{(9,1),(10,1)}
      19:{1,2,5,6}:{(10,1),(11,1),(28,1),(41,1)}
      20:{1,4,5,6}:{(11,1),(30,1),(43,1)}
      21:{1,2,4}:{(12,1),(13,1),(17,1)}
      22:{1,2,3,6}:{(12,1),(14,1),(18,1),(31,1)}
      23:{1,3,4,6}:{(13,1),(14,1),(31,1),(33,1),(34,1),(52,1)}
      24:{1,3,5,6}:{(14,1),(15,1),(33,1),(34,1),(35,1)}
      25:{1,2,4,5,6}:{(15,1),(16,1),(34,1),(35,1),(36,1),(51,1),(55,1),(56,1)}
      26:{3,4,5,6}:{(16,1),(35,1),(36,1),(57,1)}
      27:{2,3,4,6}:{(17,1),(18,1),(31,1),(37,1),(38,1),(52,1)}
      28:{2,3,5,6}:{(18,1),(19,1),(37,1),(38,1),(39,1)}
      29:{1,2,4,5,6}:{(19,1),(20,1),(38,1),(39,1),(40,1),(51,1),(58,1),(60,1)}
      30:{3,4,5,6}:{(20,1),(39,1),(40,1),(53,1)}
      31:{1,2,4,6}:{(21,1),(22,1),(23,1),(27,1),(41,1)}
      32:{1,2,3,5,6}:{(22,1),(24,1),(28,1),(41,1),(42,1),(46,1),(49,1),(61,1),(77,1),(78,1)}
      33:{1,3,5}:{(23,1),(41,1),(43,1),(61,1)}
      34:{1,4,6}:{(24,1),(43,1),(44,1)}
      35:{3,5,6}:{(25,1),(44,1),(61,1)}
      36:{1,4,5,6}:{(26,1),(45,1),(67,1)}
      37:{2,3,5}:{(27,1),(41,1),(47,1),(61,1)}
      38:{2,4,6}:{(28,1),(47,1),(48,1)}
      39:{3,5,6}:{(29,1),(48,1),(61,1)}
      40:{2,4,5,6}:{(30,1),(50,1),(65,1)}
      41:{1,2,5}:{(31,1),(33,1),(37,1)}
      42:{1,2,4,6}:{(32,1),(34,1),(38,1),(51,1),(52,1),(55,1),(58,1)}
      43:{1,4,5}:{(33,1),(34,1),(53,1)}
      44:{3,4,6}:{(34,1),(35,1),(53,1),(55,1)}
      45:{1,3,5,6}:{(35,1),(36,1),(54,1),(56,1),(70,1)}
      46:{2,3,5,6}:{(35,1),(55,1),(56,1),(71,1),(74,1)}
      47:{2,4,5}:{(37,1),(38,1),(57,1)}
      48:{3,4,6}:{(38,1),(39,1),(57,1),(58,1)}
      49:{1,3,5,6}:{(39,1),(58,1),(60,1),(70,1),(76,1)}
      50:{2,3,5,6}:{(39,1),(40,1),(59,1),(60,1),(71,1)}
      51:{1,2,4,5}:{(41,1),(42,1),(43,1),(47,1),(61,1),(65,1),(67,1),(77,1)}
      52:{3,4,6}:{(42,1),(61,1)}
      53:{3,4,5}:{(43,1),(44,1),(61,1),(65,1)}
      54:{1,3,4,6}:{(44,1),(45,1),(64,1),(66,1)}
      55:{2,4,6}:{(44,1),(46,1),(65,1)}
      56:{1,2,5,6}:{(45,1),(46,1),(66,1),(77,1)}
      57:{3,4,5}:{(47,1),(48,1),(61,1),(67,1)}
      58:{1,4,6}:{(48,1),(49,1),(67,1)}
      59:{2,3,4,6}:{(48,1),(50,1),(68,1),(69,1)}
      60:{1,2,5,6}:{(49,1),(50,1),(69,1),(77,1)}
      61:{3,5}:{(51,1),(52,1)}
      62:{1,3,4,6}:{(52,1),(58,1),(70,1),(72,1),(76,1),(83,1)}
      63:{2,3,4,6}:{(52,1),(55,1),(71,1),(72,1),(74,1),(82,1)}
      64:{1,3,4,5}:{(53,1),(54,1),(70,1),(73,1),(83,1)}
      65:{2,4,5}:{(53,1),(55,1),(71,1)}
      66:{1,2,4,6}:{(54,1),(55,1),(56,1),(73,1),(74,1)}
      67:{1,4,5}:{(57,1),(58,1),(70,1)}
      68:{2,3,4,5}:{(57,1),(59,1),(71,1),(75,1),(82,1)}
      69:{1,2,4,6}:{(58,1),(59,1),(60,1),(75,1),(76,1)}
      70:{1,3,5}:{(61,1),(62,1),(67,1),(77,1)}
      71:{2,3,5}:{(61,1),(63,1),(65,1),(77,1)}
      72:{1,2,4,6}:{(62,1),(63,1),(77,1),(78,1),(84,1)}
      73:{1,2,4,5}:{(64,1),(65,1),(66,1),(77,1),(79,1),(84,1)}
      74:{2,3,6}:{(66,1),(79,1)}
      75:{1,2,4,5}:{(67,1),(68,1),(69,1),(77,1),(80,1),(84,1)}
      76:{1,3,6}:{(69,1),(80,1)}
      77:{1,2,5}:{(70,1),(71,1),(72,1)}
      78:{1,2,3,6}:{(72,1),(74,1),(76,1),(81,1)}
      79:{2,3,5}:{(73,1),(74,1),(82,1)}
      80:{1,3,5}:{(75,1),(76,1),(83,1)}
      81:{1,2,3,5}:{(77,1),(78,1),(79,1),(80,1),(84,1)}
      82:{2,3,4}:{(79,1),(84,1)}
      83:{1,3,4}:{(80,1),(84,1)}
      84:{1,2,4}:{(81,1),(82,1),(83,1)}

422 :  0:{2,3,4,6}:{(4,1),(5,1),(8,1),(22,1),(23,1),(31,1)}
       1:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(22,1)}
       2:{2,3,5,6}:{(5,1),(6,1),(8,1),(9,1),(22,1)}
       3:{2,4,5,6}:{(8,1),(9,1)}
       4:{1,2,4,6}:{(0,1),(10,1),(11,1),(25,1)}
       5:{2,3,5}:{(0,1),(11,1),(13,1),(26,1),(27,1)}
       6:{1,2,5,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(27,1)}
       7:{1,4,6}:{(1,1),(12,1),(15,1),(25,1)}
       8:{2,4,6}:{(2,1),(13,1),(16,1)}
       9:{3,5,6}:{(3,1),(16,1),(17,1)}
      10:{1,3,6}:{(4,1),(18,1),(22,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,4,5}:{(7,1),(20,1)}
      13:{2,4,5}:{(5,1),(8,1),(21,1)}
      14:{1,2,4,6}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(24,1),(34,1)}
      15:{3,4,6}:{(7,1),(20,1),(22,1),(23,1),(31,1)}
      16:{3,4,6}:{(8,1),(9,1),(21,1),(22,1),(24,1)}
      17:{1,5,6}:{(9,1),(24,1)}
      18:{1,3,5}:{(10,1),(11,1),(25,1),(26,1)}
      19:{1,2,4,5}:{(11,1),(12,1),(13,1),(14,1),(25,1),(26,1),(27,1),(28,1),(36,1),(37,1)}
      20:{3,5}:{(12,1),(15,1),(27,1)}
      21:{3,4,5}:{(13,1),(16,1),(26,1),(28,1)}
      22:{3,6}:{(14,1),(26,1)}
      23:{2,4,6}:{(15,1),(27,1),(30,1),(36,1)}
      24:{1,4,6}:{(16,1),(17,1),(28,1),(29,1)}
      25:{1,4}:{(18,1),(31,1)}
      26:{3,5}:{(19,1),(22,1),(31,1)}
      27:{2,5}:{(20,1),(23,1)}
      28:{1,4,5}:{(21,1),(24,1),(32,1)}
      29:{1,3,6}:{(22,1),(24,1),(32,1),(34,1)}
      30:{2,3,6}:{(22,1),(23,1),(33,1),(34,1)}
      31:{3,4}:{(25,1),(26,1),(36,1)}
      32:{1,3,5}:{(26,1),(28,1),(29,1),(35,1),(37,1)}
      33:{2,3,5}:{(26,1),(27,1),(30,1),(36,1),(37,1),(39,1)}
      34:{1,2,6}:{(29,1),(30,1),(37,1)}
      35:{1,3,4}:{(31,1),(32,1),(38,1)}
      36:{2,4}:{(31,1),(33,1)}
      37:{1,2,5}:{(32,1),(33,1),(34,1),(38,1)}
      38:{1,2,4}:{(35,1),(36,1),(37,1),(39,1)}
      39:{2,3}:{(38,1)}

423 :  0:{1,2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(20,1)}
       1:{3,5,6}:{(0,1),(2,1),(25,1)}
       2:{3,4,6}:{(1,1),(6,1),(7,1),(8,1),(21,1),(28,1)}
       3:{1,3,5,6}:{(1,1),(7,1),(9,1),(18,1),(21,1),(22,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1),(21,1),(27,1)}
       5:{2,3,4,6}:{(8,1),(10,1),(11,1),(21,1),(28,1)}
       6:{3,4,5}:{(2,1),(13,1),(14,1),(25,1)}
       7:{1,4,6}:{(2,1),(3,1),(13,1),(26,1)}
       8:{2,4,6}:{(2,1),(4,1),(14,1),(29,1)}
       9:{1,2,5,6}:{(3,1),(4,1),(15,1),(16,1),(23,1)}
      10:{2,3,5}:{(5,1),(14,1),(16,1),(25,1)}
      11:{1,2,4,6}:{(5,1),(16,1),(17,1),(26,1)}
      12:{1,3,4,6}:{(7,1),(18,1),(19,1),(21,1),(28,1)}
      13:{1,4,5}:{(6,1),(7,1),(18,1)}
      14:{2,4,5}:{(6,1),(8,1),(10,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(9,1),(20,1),(21,1)}
      16:{1,2,5}:{(10,1),(11,1),(22,1)}
      17:{1,3,6}:{(11,1),(21,1),(22,1)}
      18:{1,3,5}:{(12,1),(13,1),(23,1),(25,1)}
      19:{1,2,4,6}:{(12,1),(23,1),(24,1),(29,1)}
      20:{1,2,4,5}:{(13,1),(14,1),(15,1),(16,1),(23,1),(25,1),(26,1),(29,1)}
      21:{3,6}:{(15,1),(25,1)}
      22:{1,3,5}:{(16,1),(17,1),(25,1),(26,1)}
      23:{1,2,5}:{(18,1),(19,1),(27,1)}
      24:{2,3,6}:{(19,1),(21,1),(27,1)}
      25:{3,5}:{(20,1),(21,1),(28,1)}
      26:{1,4}:{(22,1),(28,1)}
      27:{2,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{3,4}:{(25,1),(26,1),(29,1)}
      29:{2,4}:{(27,1),(28,1)}

424 :  0:{1,3,4,6}:{(4,1),(5,1),(7,1),(22,1),(24,1),(31,1)}
       1:{1,3,5,6}:{(5,1),(6,1),(7,1),(9,1),(22,1)}
       2:{2,3,5,6}:{(6,1),(8,1),(18,1),(21,1),(22,1)}
       3:{1,4,5,6}:{(7,1),(9,1)}
       4:{1,2,4,6}:{(0,1),(10,1),(11,1),(25,1)}
       5:{1,3,5}:{(0,1),(11,1),(12,1),(26,1),(28,1)}
       6:{1,2,5,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(28,1)}
       7:{1,4,6}:{(1,1),(12,1),(15,1)}
       8:{2,4,6}:{(2,1),(13,1),(16,1),(25,1)}
       9:{3,5,6}:{(3,1),(15,1),(17,1)}
      10:{2,3,6}:{(4,1),(18,1),(22,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,4,5}:{(5,1),(7,1),(20,1)}
      13:{2,4,5}:{(8,1),(21,1)}
      14:{1,2,4,6}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(24,1),(34,1)}
      15:{3,4,6}:{(7,1),(9,1),(20,1),(22,1),(23,1)}
      16:{3,4,6}:{(8,1),(21,1),(22,1),(24,1),(31,1)}
      17:{2,5,6}:{(9,1),(23,1)}
      18:{2,3,5}:{(10,1),(11,1),(25,1),(26,1)}
      19:{1,2,4,5}:{(11,1),(12,1),(13,1),(14,1),(25,1),(26,1),(27,1),(28,1),(35,1),(37,1)}
      20:{3,4,5}:{(12,1),(15,1),(26,1),(27,1)}
      21:{3,5}:{(13,1),(16,1),(28,1)}
      22:{3,6}:{(14,1),(26,1)}
      23:{2,4,6}:{(15,1),(17,1),(27,1),(30,1)}
      24:{1,4,6}:{(16,1),(28,1),(29,1),(35,1)}
      25:{2,4}:{(18,1),(31,1)}
      26:{3,5}:{(19,1),(22,1),(31,1)}
      27:{2,4,5}:{(20,1),(23,1),(33,1)}
      28:{1,5}:{(21,1),(24,1)}
      29:{1,3,6}:{(22,1),(24,1),(32,1),(34,1)}
      30:{2,3,6}:{(22,1),(23,1),(33,1),(34,1)}
      31:{3,4}:{(25,1),(26,1),(35,1)}
      32:{1,3,5}:{(26,1),(28,1),(29,1),(35,1),(37,1),(39,1)}
      33:{2,3,5}:{(26,1),(27,1),(30,1),(36,1),(37,1)}
      34:{1,2,6}:{(29,1),(30,1),(37,1)}
      35:{1,4}:{(31,1),(32,1)}
      36:{2,3,4}:{(31,1),(33,1),(38,1)}
      37:{1,2,5}:{(32,1),(33,1),(34,1),(38,1)}
      38:{1,2,4}:{(35,1),(36,1),(37,1),(39,1)}
      39:{1,3}:{(38,1)}

425 :  0:{1,2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(20,1)}
       1:{3,5,6}:{(0,1),(2,1),(25,1)}
       2:{3,4,6}:{(1,1),(6,1),(7,1),(8,1),(21,1),(28,1)}
       3:{1,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(21,1),(27,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1),(18,1),(21,1),(22,1)}
       5:{1,3,4,6}:{(7,1),(10,1),(11,1),(21,1),(28,1)}
       6:{3,4,5}:{(2,1),(13,1),(14,1),(25,1)}
       7:{1,4,6}:{(2,1),(3,1),(13,1),(29,1)}
       8:{2,4,6}:{(2,1),(4,1),(14,1),(26,1)}
       9:{1,2,5,6}:{(3,1),(4,1),(15,1),(16,1),(23,1)}
      10:{1,3,5}:{(5,1),(13,1),(16,1),(25,1)}
      11:{1,2,4,6}:{(5,1),(16,1),(17,1),(26,1)}
      12:{2,3,4,6}:{(8,1),(18,1),(19,1),(21,1),(28,1)}
      13:{1,4,5}:{(6,1),(7,1),(10,1)}
      14:{2,4,5}:{(6,1),(8,1),(18,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(9,1),(20,1),(21,1)}
      16:{1,2,5}:{(10,1),(11,1),(22,1)}
      17:{2,3,6}:{(11,1),(21,1),(22,1)}
      18:{2,3,5}:{(12,1),(14,1),(23,1),(25,1)}
      19:{1,2,4,6}:{(12,1),(23,1),(24,1),(29,1)}
      20:{1,2,4,5}:{(13,1),(14,1),(15,1),(16,1),(23,1),(25,1),(26,1),(29,1)}
      21:{3,6}:{(15,1),(25,1)}
      22:{2,3,5}:{(16,1),(17,1),(25,1),(26,1)}
      23:{1,2,5}:{(18,1),(19,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{3,5}:{(20,1),(21,1),(28,1)}
      26:{2,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{3,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

426 : 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:{3,4,5}:{(2,1),(6,1)}
      5:{1,2,4,6}:{(2,1),(3,1),(6,1),(7,1)}
      6:{3,4,6}:{(4,1),(5,1),(8,1)}
      7:{1,2,5,6}:{(5,1),(8,1)}
      8:{3,5,6}:{(6,1),(7,1),(9,1)}
      9:{4,5,6}:{(8,1)}

427 :  0:{1,2,3,6}:{(3,1),(4,1),(36,1),(44,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(13,1),(17,1),(36,1)}
       2:{1,3,4,6}:{(4,1),(6,1),(13,1),(19,1),(36,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(22,1),(25,1),(41,1)}
       4:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       5:{2,3,5}:{(1,1),(8,1),(9,1),(25,1)}
       6:{1,3,5}:{(2,1),(8,1),(11,1),(25,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{1,2,5}:{(4,1),(5,1),(6,1)}
       9:{2,4,5}:{(5,1),(16,1),(17,1)}
      10:{2,3,5,6}:{(5,1),(15,1),(17,1),(31,1),(36,1)}
      11:{1,4,5}:{(6,1),(18,1),(19,1)}
      12:{1,3,5,6}:{(6,1),(15,1),(19,1),(32,1),(36,1)}
      13:{3,4}:{(7,1),(25,1)}
      14:{1,2,4,5}:{(7,1),(8,1),(9,1),(11,1),(25,1),(26,1),(27,1),(29,1),(41,1)}
      15:{1,2,5,6}:{(8,1),(10,1),(12,1),(26,1),(39,1),(40,1)}
      16:{3,4,5}:{(9,1),(25,1),(27,1),(28,1)}
      17:{2,4,6}:{(9,1),(10,1),(28,1)}
      18:{3,4,5}:{(11,1),(25,1),(29,1),(30,1)}
      19:{1,4,6}:{(11,1),(12,1),(30,1)}
      20:{2,4,5,6}:{(17,1),(31,1)}
      21:{1,4,5,6}:{(19,1),(32,1)}
      22:{1,2,3}:{(33,1)}
      23:{2,3,4}:{(13,1),(33,1),(34,1)}
      24:{1,3,4}:{(13,1),(33,1),(35,1)}
      25:{3,5}:{(13,1),(14,1),(36,1)}
      26:{1,2,4,6}:{(14,1),(15,1),(17,1),(19,1),(36,1),(37,1),(38,1),(44,1)}
      27:{1,4,5}:{(16,1),(35,1),(37,1)}
      28:{3,4,6}:{(16,1),(17,1),(31,1),(36,1),(37,1)}
      29:{2,4,5}:{(18,1),(34,1),(38,1)}
      30:{3,4,6}:{(18,1),(19,1),(32,1),(36,1),(38,1)}
      31:{3,5,6}:{(20,1),(28,1),(39,1)}
      32:{3,5,6}:{(21,1),(30,1),(40,1)}
      33:{1,2,4}:{(22,1),(23,1),(24,1),(41,1)}
      34:{2,3,5}:{(23,1),(25,1),(29,1),(41,1),(42,1)}
      35:{1,3,5}:{(24,1),(25,1),(27,1),(41,1),(43,1)}
      36:{3,6}:{(25,1),(26,1)}
      37:{1,4,6}:{(27,1),(28,1),(39,1),(43,1)}
      38:{2,4,6}:{(29,1),(30,1),(40,1),(42,1)}
      39:{1,5,6}:{(31,1),(37,1)}
      40:{2,5,6}:{(32,1),(38,1)}
      41:{1,2,5}:{(33,1),(34,1),(35,1),(44,1)}
      42:{2,3,6}:{(34,1),(36,1),(38,1),(44,1)}
      43:{1,3,6}:{(35,1),(36,1),(37,1),(44,1)}
      44:{1,2,6}:{(41,1),(42,1),(43,1)}

428 :  0:{1,2,4,5,6}:{(1,1),(9,1),(10,1),(11,1),(19,1)}
       1:{3,5,6}:{(0,1),(3,1),(24,1)}
       2:{1,3,4,6}:{(7,1),(8,1),(9,1),(22,1),(28,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(22,1),(28,1)}
       4:{1,3,5,6}:{(1,1),(7,1),(9,1),(11,1),(22,1),(27,1)}
       5:{2,3,5,6}:{(1,1),(10,1),(11,1),(18,1),(20,1),(22,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(24,1)}
       7:{1,3,5}:{(2,1),(12,1),(14,1),(24,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(25,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1),(29,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1),(25,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(23,1)}
      12:{1,4,5}:{(6,1),(7,1),(9,1)}
      13:{2,4,5}:{(6,1),(10,1),(18,1)}
      14:{1,2,5}:{(7,1),(8,1),(20,1)}
      15:{2,3,6}:{(8,1),(20,1),(22,1)}
      16:{2,3,4,6}:{(10,1),(18,1),(21,1),(22,1),(28,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(19,1),(22,1)}
      18:{2,3,5}:{(13,1),(16,1),(23,1),(24,1)}
      19:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(23,1),(24,1),(25,1),(29,1)}
      20:{2,3,5}:{(14,1),(15,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(16,1),(23,1),(26,1),(29,1)}
      22:{3,6}:{(17,1),(24,1)}
      23:{1,2,5}:{(18,1),(21,1),(27,1)}
      24:{3,5}:{(19,1),(22,1),(28,1)}
      25:{2,4}:{(20,1),(28,1)}
      26:{1,3,6}:{(21,1),(22,1),(27,1)}
      27:{1,3,5}:{(23,1),(24,1),(26,1),(29,1)}
      28:{3,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

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

430 :  0:{1,3,4,6}:{(2,1),(3,1),(13,1),(30,1),(33,1)}
       1:{2,3,4,6}:{(2,1),(4,1),(14,1),(30,1),(33,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(24,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(25,1)}
       4:{2,3,5}:{(1,1),(8,1),(10,1),(25,1)}
       5:{1,3,5,6}:{(3,1),(12,1),(13,1),(19,1),(30,1)}
       6:{2,3,5,6}:{(4,1),(12,1),(14,1),(29,1),(30,1)}
       7:{1,2,3,6}:{(2,1),(15,1),(30,1),(42,1)}
       8:{1,2,5}:{(2,1),(3,1),(4,1)}
       9:{1,4,5}:{(3,1),(13,1),(17,1)}
      10:{2,4,5}:{(4,1),(14,1),(18,1)}
      11:{1,4,5,6}:{(13,1),(19,1)}
      12:{1,2,5,6}:{(5,1),(6,1),(8,1),(21,1),(28,1),(36,1)}
      13:{1,4,6}:{(5,1),(9,1),(22,1)}
      14:{2,4,6}:{(6,1),(10,1),(23,1)}
      15:{1,2,3,5}:{(7,1),(8,1),(24,1),(25,1),(41,1),(44,1)}
      16:{1,2,4,5}:{(8,1),(9,1),(10,1),(21,1),(24,1),(25,1),(26,1),(27,1),(41,1)}
      17:{3,4,5}:{(9,1),(22,1),(25,1),(26,1)}
      18:{3,4,5}:{(10,1),(23,1),(25,1),(27,1)}
      19:{3,5,6}:{(11,1),(22,1),(28,1)}
      20:{2,4,5,6}:{(14,1),(29,1)}
      21:{1,2,4,6}:{(12,1),(13,1),(14,1),(16,1),(30,1),(31,1),(32,1),(42,1)}
      22:{3,4,6}:{(13,1),(17,1),(19,1),(30,1),(31,1)}
      23:{3,4,6}:{(14,1),(18,1),(29,1),(30,1),(32,1)}
      24:{1,2,4}:{(15,1),(33,1)}
      25:{3,5}:{(16,1),(30,1),(33,1)}
      26:{2,4,5}:{(17,1),(31,1),(35,1)}
      27:{1,4,5}:{(18,1),(32,1),(34,1)}
      28:{2,5,6}:{(19,1),(31,1)}
      29:{3,5,6}:{(20,1),(23,1),(36,1)}
      30:{3,6}:{(21,1),(25,1)}
      31:{2,4,6}:{(22,1),(26,1),(28,1),(38,1)}
      32:{1,4,6}:{(23,1),(27,1),(36,1),(37,1)}
      33:{3,4}:{(24,1),(25,1)}
      34:{1,3,5}:{(25,1),(27,1),(37,1),(39,1),(41,1)}
      35:{2,3,5}:{(25,1),(26,1),(38,1),(40,1),(41,1)}
      36:{1,5,6}:{(29,1),(32,1)}
      37:{1,3,6}:{(30,1),(32,1),(34,1),(42,1)}
      38:{2,3,6}:{(30,1),(31,1),(35,1),(42,1)}
      39:{1,3,4}:{(33,1),(34,1),(43,1)}
      40:{2,3,4}:{(33,1),(35,1),(43,1)}
      41:{1,2,5}:{(34,1),(35,1),(42,1),(43,1)}
      42:{1,2,6}:{(37,1),(38,1),(41,1)}
      43:{1,2,4}:{(39,1),(40,1),(41,1),(44,1)}
      44:{1,2,3}:{(43,1)}

431 :  0:{1,2,3,5,6}:{(1,1),(4,1),(7,1),(19,1),(20,1),(21,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(24,1),(25,1)}
       2:{3,4,6}:{(1,1),(7,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(16,1),(17,1),(19,1)}
       4:{1,2,3,6}:{(9,1),(11,1),(29,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(22,1),(24,1),(29,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(13,1),(22,1),(25,1),(29,1)}
       7:{3,5}:{(2,1),(3,1)}
       8:{1,2,4,5,6}:{(3,1),(14,1),(24,1),(25,1),(26,1)}
       9:{1,2,3,5}:{(4,1),(15,1),(19,1),(27,1)}
      10:{3,4,5}:{(7,1),(16,1),(17,1),(18,1),(27,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(6,1),(15,1),(19,1)}
      12:{2,3,5}:{(5,1),(7,1),(16,1),(19,1),(27,1)}
      13:{1,3,5}:{(6,1),(7,1),(17,1),(19,1),(27,1)}
      14:{3,5,6}:{(7,1),(8,1),(18,1)}
      15:{1,2,4}:{(9,1),(22,1)}
      16:{2,4,5}:{(10,1),(12,1),(24,1)}
      17:{1,4,5}:{(10,1),(13,1),(25,1)}
      18:{3,4,6}:{(10,1),(14,1),(24,1),(25,1),(29,1)}
      19:{1,2,5}:{(11,1),(12,1),(13,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(29,1)}
      21:{1,3,5,6}:{(13,1),(14,1),(25,1),(26,1),(29,1)}
      22:{3,4}:{(15,1),(27,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(17,1),(19,1),(27,1),(28,1)}
      24:{2,4,6}:{(16,1),(18,1),(20,1)}
      25:{1,4,6}:{(17,1),(18,1),(21,1)}
      26:{1,2,5,6}:{(19,1),(20,1),(21,1),(28,1)}
      27:{3,5}:{(22,1),(23,1),(29,1)}
      28:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(29,1)}
      29:{3,6}:{(27,1),(28,1)}

432 :  0:{2,3,4,5}:{(1,1),(2,1),(32,1),(59,1),(68,1)}
       1:{2,3,4,6}:{(0,1),(5,1),(6,1),(54,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(21,1),(50,1),(55,1)}
       3:{1,3,4,5}:{(8,1),(9,1),(15,1),(42,1),(79,1)}
       4:{3,4,5,6}:{(11,1),(12,1),(40,1),(79,1)}
       5:{2,3,5,6}:{(1,1),(12,1),(13,1),(40,1),(59,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(41,1)}
       7:{1,3,5}:{(2,1),(14,1),(15,1)}
       8:{1,3,4,6}:{(3,1),(17,1),(18,1),(70,1)}
       9:{1,2,4,5}:{(3,1),(18,1),(19,1),(21,1),(50,1),(71,1)}
      10:{1,2,3,5}:{(7,1),(19,1),(20,1),(21,1),(50,1)}
      11:{1,4,5,6}:{(4,1),(24,1),(83,1)}
      12:{2,4,5,6}:{(4,1),(5,1),(71,1)}
      13:{1,2,5,6}:{(5,1),(6,1),(26,1),(50,1)}
      14:{1,3,6}:{(6,1),(7,1)}
      15:{1,3,4}:{(7,1),(21,1)}
      16:{3,4,5,6}:{(28,1),(29,1),(57,1),(68,1)}
      17:{1,3,5,6}:{(8,1),(28,1),(30,1),(42,1),(57,1)}
      18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(58,1)}
      19:{2,3,5}:{(9,1),(31,1),(32,1)}
      20:{1,2,3,6}:{(10,1),(14,1),(31,1),(36,1)}
      21:{1,2,4}:{(10,1),(15,1),(32,1)}
      22:{1,3,4,5}:{(33,1),(37,1),(66,1),(68,1),(82,1)}
      23:{2,3,4,5}:{(34,1),(38,1),(65,1),(79,1),(81,1)}
      24:{1,3,5,6}:{(11,1),(33,1),(39,1),(40,1),(82,1)}
      25:{1,2,4,5,6}:{(11,1),(12,1),(13,1),(39,1),(40,1),(41,1),(63,1),(67,1)}
      26:{1,3,5,6}:{(13,1),(14,1),(40,1),(41,1),(42,1)}
      27:{1,3,4,6}:{(14,1),(15,1),(36,1),(41,1),(42,1),(62,1)}
      28:{1,4,5,6}:{(16,1),(17,1),(55,1)}
      29:{2,4,5,6}:{(16,1),(43,1),(77,1)}
      30:{1,2,5,6}:{(17,1),(18,1),(45,1),(50,1)}
      31:{2,3,6}:{(18,1),(19,1)}
      32:{2,3,4}:{(19,1),(21,1)}
      33:{1,3,4,6}:{(22,1),(24,1),(47,1),(54,1)}
      34:{2,3,4,6}:{(23,1),(43,1),(48,1),(70,1)}
      35:{1,2,3,5,6}:{(20,1),(26,1),(45,1),(49,1),(50,1),(53,1),(69,1),(72,1),(75,1),(84,1)}
      36:{1,2,4,6}:{(20,1),(21,1),(27,1),(46,1),(50,1)}
      37:{1,2,4,5}:{(22,1),(47,1),(51,1),(76,1),(77,1),(84,1)}
      38:{1,2,4,5}:{(23,1),(48,1),(52,1),(76,1),(83,1),(84,1)}
      39:{1,2,5,6}:{(24,1),(47,1),(53,1),(84,1)}
      40:{3,5,6}:{(25,1),(54,1),(75,1)}
      41:{1,4,6}:{(26,1),(54,1),(55,1)}
      42:{1,3,5}:{(27,1),(50,1),(55,1),(75,1)}
      43:{2,3,5,6}:{(29,1),(34,1),(56,1),(57,1),(81,1)}
      44:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(56,1),(57,1),(58,1),(63,1),(78,1)}
      45:{2,3,5,6}:{(30,1),(31,1),(57,1),(58,1),(59,1)}
      46:{2,3,4,6}:{(31,1),(32,1),(36,1),(58,1),(59,1),(62,1)}
      47:{1,2,4,6}:{(33,1),(37,1),(39,1),(60,1),(67,1)}
      48:{1,2,4,6}:{(34,1),(38,1),(56,1),(61,1),(78,1)}
      49:{1,2,4,6}:{(35,1),(41,1),(58,1),(62,1),(63,1),(67,1),(78,1)}
      50:{1,2,5}:{(36,1),(42,1),(59,1)}
      51:{2,3,5}:{(37,1),(60,1),(65,1)}
      52:{1,3,5}:{(38,1),(61,1),(66,1)}
      53:{2,3,5,6}:{(39,1),(40,1),(60,1),(67,1),(81,1)}
      54:{3,4,6}:{(40,1),(41,1),(67,1),(68,1)}
      55:{1,4,5}:{(41,1),(42,1),(68,1)}
      56:{1,2,5,6}:{(43,1),(48,1),(69,1),(84,1)}
      57:{3,5,6}:{(44,1),(70,1),(75,1)}
      58:{2,4,6}:{(45,1),(70,1),(71,1)}
      59:{2,3,5}:{(46,1),(50,1),(71,1),(75,1)}
      60:{2,3,6}:{(47,1),(51,1)}
      61:{1,3,6}:{(48,1),(52,1)}
      62:{3,4,6}:{(49,1),(75,1)}
      63:{1,2,4,5}:{(49,1),(50,1),(55,1),(71,1),(75,1),(77,1),(83,1),(84,1)}
      64:{1,2,3,5}:{(51,1),(52,1),(72,1),(76,1),(84,1)}
      65:{2,3,4}:{(51,1),(76,1)}
      66:{1,3,4}:{(52,1),(76,1)}
      67:{2,4,6}:{(53,1),(54,1),(77,1)}
      68:{3,4,5}:{(54,1),(55,1),(75,1),(77,1)}
      69:{1,3,5,6}:{(56,1),(57,1),(61,1),(78,1),(82,1)}
      70:{3,4,6}:{(57,1),(58,1),(78,1),(79,1)}
      71:{2,4,5}:{(58,1),(59,1),(79,1)}
      72:{1,2,3,6}:{(60,1),(61,1),(64,1),(80,1)}
      73:{2,3,4,6}:{(60,1),(62,1),(65,1),(67,1),(80,1),(81,1)}
      74:{1,3,4,6}:{(61,1),(62,1),(66,1),(78,1),(80,1),(82,1)}
      75:{3,5}:{(62,1),(63,1)}
      76:{1,2,4}:{(64,1),(65,1),(66,1)}
      77:{2,4,5}:{(67,1),(68,1),(81,1)}
      78:{1,4,6}:{(69,1),(70,1),(83,1)}
      79:{3,4,5}:{(70,1),(71,1),(75,1),(83,1)}
      80:{1,2,4,6}:{(72,1),(73,1),(74,1),(76,1),(84,1)}
      81:{2,3,5}:{(73,1),(75,1),(77,1),(84,1)}
      82:{1,3,5}:{(74,1),(75,1),(83,1),(84,1)}
      83:{1,4,5}:{(78,1),(79,1),(82,1)}
      84:{1,2,5}:{(80,1),(81,1),(82,1)}

433 :  0:{1,4,5,6}:{(2,1),(14,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(14,1),(29,1),(32,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(8,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(25,1)}
       4:{1,3,5}:{(1,1),(9,1),(11,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(26,1)}
       6:{3,4,6}:{(2,1),(3,1),(14,1),(15,1),(29,1)}
       7:{1,3,5,6}:{(2,1),(4,1),(14,1),(16,1),(29,1)}
       8:{2,5,6}:{(2,1),(15,1)}
       9:{1,4,5}:{(3,1),(4,1),(14,1)}
      10:{2,4,5}:{(3,1),(15,1),(17,1)}
      11:{1,2,5}:{(4,1),(5,1),(19,1)}
      12:{2,3,6}:{(5,1),(19,1),(29,1)}
      13:{2,3,4}:{(17,1),(20,1),(32,1)}
      14:{1,4,6}:{(6,1),(7,1),(9,1)}
      15:{2,4,6}:{(6,1),(8,1),(10,1),(21,1)}
      16:{1,2,5,6}:{(7,1),(8,1),(11,1),(22,1),(23,1),(39,1)}
      17:{2,3,5}:{(10,1),(13,1),(21,1),(24,1),(25,1)}
      18:{1,2,4,5}:{(9,1),(10,1),(11,1),(22,1),(24,1),(25,1),(26,1),(35,1),(36,1),(39,1)}
      19:{2,3,5}:{(11,1),(12,1),(25,1),(26,1)}
      20:{1,2,4}:{(13,1),(24,1),(27,1),(36,1)}
      21:{2,3,6}:{(15,1),(17,1),(28,1),(29,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(28,1),(29,1),(30,1),(37,1)}
      23:{2,3,5,6}:{(16,1),(19,1),(29,1),(30,1),(38,1)}
      24:{1,2,5}:{(17,1),(20,1),(28,1),(31,1)}
      25:{3,5}:{(18,1),(29,1),(32,1)}
      26:{2,4}:{(19,1),(32,1)}
      27:{1,3}:{(20,1)}
      28:{1,2,6}:{(21,1),(24,1),(33,1)}
      29:{3,6}:{(22,1),(25,1)}
      30:{2,4,6}:{(23,1),(26,1),(34,1),(35,1)}
      31:{1,3,5}:{(24,1),(25,1),(27,1),(33,1),(36,1),(39,1)}
      32:{3,4}:{(25,1),(26,1),(36,1)}
      33:{1,3,6}:{(28,1),(29,1),(31,1),(37,1)}
      34:{3,4,6}:{(29,1),(30,1),(32,1),(37,1),(38,1)}
      35:{2,4,5}:{(30,1),(38,1)}
      36:{1,4}:{(31,1),(32,1)}
      37:{1,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

434 :  0:{1,2,3,6}:{(2,1),(3,1),(29,1),(43,1)}
       1:{1,3,4,6}:{(2,1),(4,1),(14,1),(15,1),(29,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(21,1),(39,1),(40,1)}
       4:{1,3,5}:{(1,1),(6,1),(9,1),(21,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(14,1),(27,1),(29,1)}
       6:{1,2,5}:{(2,1),(4,1),(11,1)}
       7:{1,2,4}:{(3,1),(14,1)}
       8:{1,3,5,6}:{(4,1),(12,1),(15,1),(17,1),(29,1)}
       9:{1,4,5}:{(4,1),(15,1),(16,1)}
      10:{1,4,5,6}:{(15,1),(17,1)}
      11:{2,3,5}:{(5,1),(6,1),(19,1),(21,1)}
      12:{1,2,5,6}:{(6,1),(8,1),(18,1),(20,1),(26,1),(44,1)}
      13:{1,2,4,5}:{(6,1),(7,1),(9,1),(19,1),(20,1),(21,1),(25,1),(36,1),(39,1)}
      14:{3,4}:{(7,1),(21,1)}
      15:{1,4,6}:{(8,1),(9,1),(24,1)}
      16:{3,4,5}:{(9,1),(21,1),(24,1),(25,1)}
      17:{3,5,6}:{(10,1),(24,1),(26,1)}
      18:{2,3,5,6}:{(11,1),(12,1),(27,1),(29,1),(41,1)}
      19:{2,4,5}:{(11,1),(27,1),(28,1)}
      20:{1,2,4,6}:{(12,1),(13,1),(15,1),(27,1),(29,1),(33,1),(42,1),(43,1)}
      21:{3,5}:{(13,1),(14,1),(29,1)}
      22:{1,3,4}:{(14,1),(30,1),(32,1)}
      23:{2,3,4}:{(14,1),(31,1),(32,1)}
      24:{3,4,6}:{(15,1),(16,1),(17,1),(29,1),(33,1)}
      25:{2,4,5}:{(16,1),(31,1),(33,1)}
      26:{2,5,6}:{(17,1),(33,1)}
      27:{2,4,6}:{(18,1),(19,1),(35,1)}
      28:{3,4,5}:{(19,1),(21,1),(35,1),(36,1)}
      29:{3,6}:{(20,1),(21,1)}
      30:{1,3,5}:{(21,1),(22,1),(36,1),(37,1),(39,1)}
      31:{2,3,5}:{(21,1),(23,1),(25,1),(38,1),(39,1)}
      32:{1,2,4}:{(22,1),(23,1),(39,1),(40,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(38,1)}
      34:{2,4,5,6}:{(27,1),(41,1)}
      35:{3,4,6}:{(27,1),(28,1),(29,1),(41,1),(42,1)}
      36:{1,4,5}:{(28,1),(30,1),(42,1)}
      37:{1,3,6}:{(29,1),(30,1),(42,1),(43,1)}
      38:{2,3,6}:{(29,1),(31,1),(33,1),(43,1)}
      39:{1,2,5}:{(30,1),(31,1),(32,1),(43,1)}
      40:{1,2,3}:{(32,1)}
      41:{3,5,6}:{(34,1),(35,1),(44,1)}
      42:{1,4,6}:{(35,1),(36,1),(37,1),(44,1)}
      43:{1,2,6}:{(37,1),(38,1),(39,1)}
      44:{1,5,6}:{(41,1),(42,1)}

435 :  0:{1,2,3,5,6}:{(1,1),(5,1),(16,1),(17,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(14,1),(15,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(9,1),(20,1),(21,1),(23,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,4,5}:{(5,1),(13,1),(14,1),(15,1),(26,1)}
       9:{3,5,6}:{(4,1),(5,1),(13,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(15,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,4,5}:{(8,1),(10,1),(20,1)}
      15:{2,4,5}:{(8,1),(11,1),(21,1)}
      16:{1,3,5,6}:{(9,1),(10,1),(20,1),(23,1),(28,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(21,1),(23,1),(28,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(18,1),(25,1),(26,1),(27,1)}
      23:{1,2,5,6}:{(16,1),(17,1),(18,1),(25,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(22,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

436 :  0:{1,2,3,6}:{(3,1),(5,1),(34,1),(36,1)}
       1:{2,3,4,6}:{(5,1),(6,1),(20,1),(22,1),(36,1)}
       2:{2,4,5,6}:{(7,1),(22,1)}
       3:{1,2,3,5}:{(0,1),(8,1),(10,1),(15,1),(27,1),(29,1)}
       4:{3,4,5}:{(11,1),(12,1),(13,1),(29,1)}
       5:{1,2,4,6}:{(0,1),(1,1),(10,1),(14,1),(15,1)}
       6:{2,3,5}:{(1,1),(11,1),(15,1),(29,1)}
       7:{3,5,6}:{(2,1),(13,1),(17,1)}
       8:{1,2,3}:{(18,1)}
       9:{1,3,4}:{(18,1),(19,1),(20,1)}
      10:{1,2,4}:{(3,1),(20,1)}
      11:{2,4,5}:{(4,1),(6,1),(22,1)}
      12:{1,4,5}:{(4,1),(19,1),(23,1)}
      13:{3,4,6}:{(4,1),(7,1),(22,1),(23,1),(36,1)}
      14:{1,3,4,6}:{(5,1),(20,1),(24,1),(36,1),(37,1)}
      15:{1,2,5}:{(5,1),(6,1),(24,1)}
      16:{2,3,5,6}:{(6,1),(7,1),(22,1),(25,1),(36,1)}
      17:{1,5,6}:{(7,1),(23,1)}
      18:{1,2,4}:{(8,1),(9,1),(26,1),(27,1)}
      19:{1,3,5}:{(9,1),(12,1),(27,1),(28,1),(29,1)}
      20:{3,4}:{(10,1),(29,1)}
      21:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(27,1),(29,1),(30,1),(31,1),(38,1)}
      22:{2,4,6}:{(11,1),(13,1),(16,1)}
      23:{1,4,6}:{(12,1),(13,1),(17,1),(28,1)}
      24:{1,3,5}:{(14,1),(15,1),(29,1),(31,1)}
      25:{1,2,5,6}:{(15,1),(16,1),(17,1),(30,1),(32,1),(44,1)}
      26:{2,3,4}:{(18,1),(20,1),(33,1)}
      27:{1,2,5}:{(18,1),(19,1),(33,1),(34,1)}
      28:{1,3,6}:{(19,1),(23,1),(34,1),(36,1)}
      29:{3,5}:{(20,1),(21,1),(36,1)}
      30:{1,2,4,6}:{(21,1),(22,1),(23,1),(25,1),(34,1),(36,1),(37,1),(42,1)}
      31:{1,4,5}:{(24,1),(35,1),(37,1)}
      32:{1,3,5,6}:{(24,1),(25,1),(36,1),(37,1),(43,1)}
      33:{2,3,5}:{(26,1),(27,1),(29,1),(38,1),(39,1)}
      34:{1,2,6}:{(27,1),(28,1),(39,1)}
      35:{3,4,5}:{(29,1),(31,1),(38,1),(40,1)}
      36:{3,6}:{(29,1),(30,1)}
      37:{1,4,6}:{(31,1),(32,1),(40,1)}
      38:{2,4,5}:{(33,1),(35,1),(42,1)}
      39:{2,3,6}:{(33,1),(34,1),(36,1),(42,1)}
      40:{3,4,6}:{(35,1),(36,1),(37,1),(42,1),(43,1)}
      41:{1,4,5,6}:{(37,1),(43,1)}
      42:{2,4,6}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,5,6}:{(40,1),(41,1),(44,1)}
      44:{2,5,6}:{(42,1),(43,1)}

437 :  0:{1,2,4,5,6}:{(1,1),(9,1),(10,1),(11,1),(19,1)}
       1:{3,5,6}:{(0,1),(3,1),(24,1)}
       2:{2,3,4,6}:{(7,1),(8,1),(10,1),(22,1),(28,1)}
       3:{3,4,6}:{(1,1),(6,1),(9,1),(10,1),(22,1),(28,1)}
       4:{1,3,5,6}:{(1,1),(9,1),(11,1),(18,1),(20,1),(22,1)}
       5:{2,3,5,6}:{(1,1),(7,1),(10,1),(11,1),(22,1),(27,1)}
       6:{3,4,5}:{(3,1),(12,1),(13,1),(24,1)}
       7:{2,3,5}:{(2,1),(13,1),(14,1),(24,1)}
       8:{1,2,4,6}:{(2,1),(14,1),(15,1),(25,1)}
       9:{1,4,6}:{(3,1),(4,1),(12,1),(25,1)}
      10:{2,4,6}:{(3,1),(5,1),(13,1),(29,1)}
      11:{1,2,5,6}:{(4,1),(5,1),(14,1),(17,1),(23,1)}
      12:{1,4,5}:{(6,1),(9,1),(18,1)}
      13:{2,4,5}:{(6,1),(7,1),(10,1)}
      14:{1,2,5}:{(7,1),(8,1),(20,1)}
      15:{1,3,6}:{(8,1),(20,1),(22,1)}
      16:{1,3,4,6}:{(9,1),(18,1),(21,1),(22,1),(28,1)}
      17:{1,2,4,6}:{(9,1),(10,1),(11,1),(19,1),(22,1)}
      18:{1,3,5}:{(12,1),(16,1),(23,1),(24,1)}
      19:{1,2,4,5}:{(12,1),(13,1),(14,1),(17,1),(23,1),(24,1),(25,1),(29,1)}
      20:{1,3,5}:{(14,1),(15,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(16,1),(23,1),(26,1),(29,1)}
      22:{3,6}:{(17,1),(24,1)}
      23:{1,2,5}:{(18,1),(21,1),(27,1)}
      24:{3,5}:{(19,1),(22,1),(28,1)}
      25:{1,4}:{(20,1),(28,1)}
      26:{2,3,6}:{(21,1),(22,1),(27,1)}
      27:{2,3,5}:{(23,1),(24,1),(26,1),(29,1)}
      28:{3,4}:{(24,1),(25,1),(29,1)}
      29:{2,4}:{(27,1),(28,1)}

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

439 :  0:{1,3,4,6}:{(2,1),(3,1),(13,1),(30,1),(33,1)}
       1:{2,3,4,6}:{(2,1),(4,1),(14,1),(30,1),(33,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(24,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(25,1)}
       4:{2,3,5}:{(1,1),(8,1),(10,1),(25,1)}
       5:{1,3,5,6}:{(3,1),(12,1),(13,1),(29,1),(30,1)}
       6:{2,3,5,6}:{(4,1),(12,1),(14,1),(19,1),(30,1)}
       7:{1,2,3,6}:{(2,1),(15,1),(30,1),(42,1)}
       8:{1,2,5}:{(2,1),(3,1),(4,1)}
       9:{1,4,5}:{(3,1),(13,1),(17,1)}
      10:{2,4,5}:{(4,1),(14,1),(18,1)}
      11:{2,4,5,6}:{(14,1),(19,1)}
      12:{1,2,5,6}:{(5,1),(6,1),(8,1),(21,1),(28,1),(36,1)}
      13:{1,4,6}:{(5,1),(9,1),(22,1)}
      14:{2,4,6}:{(6,1),(10,1),(23,1)}
      15:{1,2,3,5}:{(7,1),(8,1),(24,1),(25,1),(41,1),(44,1)}
      16:{1,2,4,5}:{(8,1),(9,1),(10,1),(21,1),(24,1),(25,1),(26,1),(27,1),(41,1)}
      17:{3,4,5}:{(9,1),(22,1),(25,1),(26,1)}
      18:{3,4,5}:{(10,1),(23,1),(25,1),(27,1)}
      19:{3,5,6}:{(11,1),(23,1),(28,1)}
      20:{1,4,5,6}:{(13,1),(29,1)}
      21:{1,2,4,6}:{(12,1),(13,1),(14,1),(16,1),(30,1),(31,1),(32,1),(42,1)}
      22:{3,4,6}:{(13,1),(17,1),(29,1),(30,1),(31,1)}
      23:{3,4,6}:{(14,1),(18,1),(19,1),(30,1),(32,1)}
      24:{1,2,4}:{(15,1),(33,1)}
      25:{3,5}:{(16,1),(30,1),(33,1)}
      26:{2,4,5}:{(17,1),(31,1),(35,1)}
      27:{1,4,5}:{(18,1),(32,1),(34,1)}
      28:{1,5,6}:{(19,1),(32,1)}
      29:{3,5,6}:{(20,1),(22,1),(36,1)}
      30:{3,6}:{(21,1),(25,1)}
      31:{2,4,6}:{(22,1),(26,1),(36,1),(38,1)}
      32:{1,4,6}:{(23,1),(27,1),(28,1),(37,1)}
      33:{3,4}:{(24,1),(25,1)}
      34:{1,3,5}:{(25,1),(27,1),(37,1),(39,1),(41,1)}
      35:{2,3,5}:{(25,1),(26,1),(38,1),(40,1),(41,1)}
      36:{2,5,6}:{(29,1),(31,1)}
      37:{1,3,6}:{(30,1),(32,1),(34,1),(42,1)}
      38:{2,3,6}:{(30,1),(31,1),(35,1),(42,1)}
      39:{1,3,4}:{(33,1),(34,1),(43,1)}
      40:{2,3,4}:{(33,1),(35,1),(43,1)}
      41:{1,2,5}:{(34,1),(35,1),(42,1),(43,1)}
      42:{1,2,6}:{(37,1),(38,1),(41,1)}
      43:{1,2,4}:{(39,1),(40,1),(41,1),(44,1)}
      44:{1,2,3}:{(43,1)}

440 :  0:{1,2,3,5,6}:{(1,1),(4,1),(7,1),(19,1),(20,1),(21,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(24,1),(25,1)}
       2:{3,4,6}:{(1,1),(7,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(16,1),(17,1),(19,1)}
       4:{1,2,3,6}:{(9,1),(11,1),(29,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(22,1),(24,1),(29,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(13,1),(22,1),(25,1),(29,1)}
       7:{3,5}:{(2,1),(3,1)}
       8:{1,2,4,5,6}:{(3,1),(14,1),(24,1),(25,1),(26,1)}
       9:{1,2,3,5}:{(4,1),(15,1),(19,1),(27,1)}
      10:{3,4,5}:{(7,1),(16,1),(17,1),(18,1),(27,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(6,1),(15,1),(19,1)}
      12:{2,3,5}:{(5,1),(7,1),(16,1),(19,1),(27,1)}
      13:{1,3,5}:{(6,1),(7,1),(17,1),(19,1),(27,1)}
      14:{3,5,6}:{(7,1),(8,1),(18,1)}
      15:{1,2,4}:{(9,1),(22,1)}
      16:{2,4,5}:{(10,1),(12,1),(24,1)}
      17:{1,4,5}:{(10,1),(13,1),(25,1)}
      18:{3,4,6}:{(10,1),(14,1),(24,1),(25,1),(29,1)}
      19:{1,2,5}:{(11,1),(12,1),(13,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(29,1)}
      21:{1,3,5,6}:{(13,1),(14,1),(25,1),(26,1),(29,1)}
      22:{3,4}:{(15,1),(27,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(17,1),(19,1),(27,1),(28,1)}
      24:{2,4,6}:{(16,1),(18,1),(20,1)}
      25:{1,4,6}:{(17,1),(18,1),(21,1)}
      26:{1,2,5,6}:{(19,1),(20,1),(21,1),(28,1)}
      27:{3,5}:{(22,1),(23,1),(29,1)}
      28:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(29,1)}
      29:{3,6}:{(27,1),(28,1)}

441 :  0:{2,4,5,6}:{(2,1),(15,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(15,1),(29,1),(32,1),(37,1)}
       2:{3,5,6}:{(0,1),(6,1),(7,1)}
       3:{3,4,5}:{(6,1),(9,1),(10,1),(25,1)}
       4:{2,3,5}:{(1,1),(10,1),(11,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(11,1),(12,1),(26,1)}
       6:{3,4,6}:{(2,1),(3,1),(14,1),(15,1),(29,1)}
       7:{1,5,6}:{(2,1),(14,1)}
       8:{2,3,5,6}:{(2,1),(4,1),(15,1),(16,1),(29,1)}
       9:{1,4,5}:{(3,1),(14,1),(17,1)}
      10:{2,4,5}:{(3,1),(4,1),(15,1)}
      11:{1,2,5}:{(4,1),(5,1),(19,1)}
      12:{1,3,6}:{(5,1),(19,1),(29,1)}
      13:{1,3,4}:{(17,1),(20,1),(32,1)}
      14:{1,4,6}:{(6,1),(7,1),(9,1),(21,1)}
      15:{2,4,6}:{(6,1),(8,1),(10,1)}
      16:{1,2,5,6}:{(7,1),(8,1),(11,1),(22,1),(23,1),(39,1)}
      17:{1,3,5}:{(9,1),(13,1),(21,1),(24,1),(25,1)}
      18:{1,2,4,5}:{(9,1),(10,1),(11,1),(22,1),(24,1),(25,1),(26,1),(35,1),(36,1),(39,1)}
      19:{1,3,5}:{(11,1),(12,1),(25,1),(26,1)}
      20:{1,2,4}:{(13,1),(24,1),(27,1),(36,1)}
      21:{1,3,6}:{(14,1),(17,1),(28,1),(29,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(16,1),(18,1),(28,1),(29,1),(30,1),(37,1)}
      23:{1,3,5,6}:{(16,1),(19,1),(29,1),(30,1),(38,1)}
      24:{1,2,5}:{(17,1),(20,1),(28,1),(31,1)}
      25:{3,5}:{(18,1),(29,1),(32,1)}
      26:{1,4}:{(19,1),(32,1)}
      27:{2,3}:{(20,1)}
      28:{1,2,6}:{(21,1),(24,1),(33,1)}
      29:{3,6}:{(22,1),(25,1)}
      30:{1,4,6}:{(23,1),(26,1),(34,1),(35,1)}
      31:{2,3,5}:{(24,1),(25,1),(27,1),(33,1),(36,1),(39,1)}
      32:{3,4}:{(25,1),(26,1),(36,1)}
      33:{2,3,6}:{(28,1),(29,1),(31,1),(37,1)}
      34:{3,4,6}:{(29,1),(30,1),(32,1),(37,1),(38,1)}
      35:{1,4,5}:{(30,1),(38,1)}
      36:{2,4}:{(31,1),(32,1)}
      37:{2,4,6}:{(33,1),(34,1),(36,1),(39,1)}
      38:{3,5}:{(34,1),(35,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

442 :  0:{1,2,3,6}:{(2,1),(3,1),(29,1),(43,1)}
       1:{2,3,4,6}:{(2,1),(4,1),(14,1),(15,1),(29,1)}
       2:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       3:{1,2,3,5}:{(0,1),(6,1),(7,1),(21,1),(39,1),(40,1)}
       4:{2,3,5}:{(1,1),(6,1),(9,1),(21,1)}
       5:{1,3,4,6}:{(2,1),(11,1),(14,1),(27,1),(29,1)}
       6:{1,2,5}:{(2,1),(4,1),(11,1)}
       7:{1,2,4}:{(3,1),(14,1)}
       8:{2,3,5,6}:{(4,1),(12,1),(15,1),(17,1),(29,1)}
       9:{2,4,5}:{(4,1),(15,1),(16,1)}
      10:{2,4,5,6}:{(15,1),(17,1)}
      11:{1,3,5}:{(5,1),(6,1),(19,1),(21,1)}
      12:{1,2,5,6}:{(6,1),(8,1),(18,1),(20,1),(26,1),(44,1)}
      13:{1,2,4,5}:{(6,1),(7,1),(9,1),(19,1),(20,1),(21,1),(25,1),(36,1),(39,1)}
      14:{3,4}:{(7,1),(21,1)}
      15:{2,4,6}:{(8,1),(9,1),(24,1)}
      16:{3,4,5}:{(9,1),(21,1),(24,1),(25,1)}
      17:{3,5,6}:{(10,1),(24,1),(26,1)}
      18:{1,3,5,6}:{(11,1),(12,1),(27,1),(29,1),(41,1)}
      19:{1,4,5}:{(11,1),(27,1),(28,1)}
      20:{1,2,4,6}:{(12,1),(13,1),(15,1),(27,1),(29,1),(33,1),(42,1),(43,1)}
      21:{3,5}:{(13,1),(14,1),(29,1)}
      22:{1,3,4}:{(14,1),(30,1),(32,1)}
      23:{2,3,4}:{(14,1),(31,1),(32,1)}
      24:{3,4,6}:{(15,1),(16,1),(17,1),(29,1),(33,1)}
      25:{1,4,5}:{(16,1),(30,1),(33,1)}
      26:{1,5,6}:{(17,1),(33,1)}
      27:{1,4,6}:{(18,1),(19,1),(35,1)}
      28:{3,4,5}:{(19,1),(21,1),(35,1),(36,1)}
      29:{3,6}:{(20,1),(21,1)}
      30:{1,3,5}:{(21,1),(22,1),(25,1),(37,1),(39,1)}
      31:{2,3,5}:{(21,1),(23,1),(36,1),(38,1),(39,1)}
      32:{1,2,4}:{(22,1),(23,1),(39,1),(40,1)}
      33:{1,4,6}:{(24,1),(25,1),(26,1),(37,1)}
      34:{1,4,5,6}:{(27,1),(41,1)}
      35:{3,4,6}:{(27,1),(28,1),(29,1),(41,1),(42,1)}
      36:{2,4,5}:{(28,1),(31,1),(42,1)}
      37:{1,3,6}:{(29,1),(30,1),(33,1),(43,1)}
      38:{2,3,6}:{(29,1),(31,1),(42,1),(43,1)}
      39:{1,2,5}:{(30,1),(31,1),(32,1),(43,1)}
      40:{1,2,3}:{(32,1)}
      41:{3,5,6}:{(34,1),(35,1),(44,1)}
      42:{2,4,6}:{(35,1),(36,1),(38,1),(44,1)}
      43:{1,2,6}:{(37,1),(38,1),(39,1)}
      44:{2,5,6}:{(41,1),(42,1)}

443 :  0:{1,3,4,5}:{(1,1),(2,1),(32,1),(59,1),(68,1)}
       1:{1,3,4,6}:{(0,1),(5,1),(6,1),(54,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(21,1),(50,1),(55,1)}
       3:{2,3,4,5}:{(8,1),(9,1),(15,1),(42,1),(79,1)}
       4:{3,4,5,6}:{(11,1),(12,1),(40,1),(79,1)}
       5:{1,3,5,6}:{(1,1),(11,1),(13,1),(40,1),(59,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(41,1)}
       7:{2,3,5}:{(2,1),(14,1),(15,1)}
       8:{2,3,4,6}:{(3,1),(17,1),(18,1),(70,1)}
       9:{1,2,4,5}:{(3,1),(18,1),(19,1),(21,1),(50,1),(71,1)}
      10:{1,2,3,5}:{(7,1),(19,1),(20,1),(21,1),(50,1)}
      11:{1,4,5,6}:{(4,1),(5,1),(71,1)}
      12:{2,4,5,6}:{(4,1),(24,1),(83,1)}
      13:{1,2,5,6}:{(5,1),(6,1),(26,1),(50,1)}
      14:{2,3,6}:{(6,1),(7,1)}
      15:{2,3,4}:{(7,1),(21,1)}
      16:{3,4,5,6}:{(28,1),(29,1),(57,1),(68,1)}
      17:{2,3,5,6}:{(8,1),(29,1),(30,1),(42,1),(57,1)}
      18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(58,1)}
      19:{1,3,5}:{(9,1),(31,1),(32,1)}
      20:{1,2,3,6}:{(10,1),(14,1),(31,1),(36,1)}
      21:{1,2,4}:{(10,1),(15,1),(32,1)}
      22:{1,3,4,5}:{(33,1),(37,1),(66,1),(79,1),(82,1)}
      23:{2,3,4,5}:{(34,1),(38,1),(65,1),(68,1),(81,1)}
      24:{2,3,5,6}:{(12,1),(34,1),(39,1),(40,1),(81,1)}
      25:{1,2,4,5,6}:{(11,1),(12,1),(13,1),(39,1),(40,1),(41,1),(63,1),(67,1)}
      26:{2,3,5,6}:{(13,1),(14,1),(40,1),(41,1),(42,1)}
      27:{2,3,4,6}:{(14,1),(15,1),(36,1),(41,1),(42,1),(62,1)}
      28:{1,4,5,6}:{(16,1),(43,1),(77,1)}
      29:{2,4,5,6}:{(16,1),(17,1),(55,1)}
      30:{1,2,5,6}:{(17,1),(18,1),(45,1),(50,1)}
      31:{1,3,6}:{(18,1),(19,1)}
      32:{1,3,4}:{(19,1),(21,1)}
      33:{1,3,4,6}:{(22,1),(43,1),(47,1),(70,1)}
      34:{2,3,4,6}:{(23,1),(24,1),(48,1),(54,1)}
      35:{1,2,3,5,6}:{(20,1),(26,1),(45,1),(49,1),(50,1),(53,1),(69,1),(72,1),(75,1),(84,1)}
      36:{1,2,4,6}:{(20,1),(21,1),(27,1),(46,1),(50,1)}
      37:{1,2,4,5}:{(22,1),(47,1),(51,1),(76,1),(83,1),(84,1)}
      38:{1,2,4,5}:{(23,1),(48,1),(52,1),(76,1),(77,1),(84,1)}
      39:{1,2,5,6}:{(24,1),(48,1),(53,1),(84,1)}
      40:{3,5,6}:{(25,1),(54,1),(75,1)}
      41:{2,4,6}:{(26,1),(54,1),(55,1)}
      42:{2,3,5}:{(27,1),(50,1),(55,1),(75,1)}
      43:{1,3,5,6}:{(28,1),(33,1),(56,1),(57,1),(82,1)}
      44:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(56,1),(57,1),(58,1),(63,1),(78,1)}
      45:{1,3,5,6}:{(30,1),(31,1),(57,1),(58,1),(59,1)}
      46:{1,3,4,6}:{(31,1),(32,1),(36,1),(58,1),(59,1),(62,1)}
      47:{1,2,4,6}:{(33,1),(37,1),(56,1),(60,1),(78,1)}
      48:{1,2,4,6}:{(34,1),(38,1),(39,1),(61,1),(67,1)}
      49:{1,2,4,6}:{(35,1),(41,1),(58,1),(62,1),(63,1),(67,1),(78,1)}
      50:{1,2,5}:{(36,1),(42,1),(59,1)}
      51:{2,3,5}:{(37,1),(60,1),(65,1)}
      52:{1,3,5}:{(38,1),(61,1),(66,1)}
      53:{1,3,5,6}:{(39,1),(40,1),(61,1),(67,1),(82,1)}
      54:{3,4,6}:{(40,1),(41,1),(67,1),(68,1)}
      55:{2,4,5}:{(41,1),(42,1),(68,1)}
      56:{1,2,5,6}:{(43,1),(47,1),(69,1),(84,1)}
      57:{3,5,6}:{(44,1),(70,1),(75,1)}
      58:{1,4,6}:{(45,1),(70,1),(71,1)}
      59:{1,3,5}:{(46,1),(50,1),(71,1),(75,1)}
      60:{2,3,6}:{(47,1),(51,1)}
      61:{1,3,6}:{(48,1),(52,1)}
      62:{3,4,6}:{(49,1),(75,1)}
      63:{1,2,4,5}:{(49,1),(50,1),(55,1),(71,1),(75,1),(77,1),(83,1),(84,1)}
      64:{1,2,3,5}:{(51,1),(52,1),(72,1),(76,1),(84,1)}
      65:{2,3,4}:{(51,1),(76,1)}
      66:{1,3,4}:{(52,1),(76,1)}
      67:{1,4,6}:{(53,1),(54,1),(77,1)}
      68:{3,4,5}:{(54,1),(55,1),(75,1),(77,1)}
      69:{2,3,5,6}:{(56,1),(57,1),(60,1),(78,1),(81,1)}
      70:{3,4,6}:{(57,1),(58,1),(78,1),(79,1)}
      71:{1,4,5}:{(58,1),(59,1),(79,1)}
      72:{1,2,3,6}:{(60,1),(61,1),(64,1),(80,1)}
      73:{2,3,4,6}:{(60,1),(62,1),(65,1),(78,1),(80,1),(81,1)}
      74:{1,3,4,6}:{(61,1),(62,1),(66,1),(67,1),(80,1),(82,1)}
      75:{3,5}:{(62,1),(63,1)}
      76:{1,2,4}:{(64,1),(65,1),(66,1)}
      77:{1,4,5}:{(67,1),(68,1),(82,1)}
      78:{2,4,6}:{(69,1),(70,1),(83,1)}
      79:{3,4,5}:{(70,1),(71,1),(75,1),(83,1)}
      80:{1,2,4,6}:{(72,1),(73,1),(74,1),(76,1),(84,1)}
      81:{2,3,5}:{(73,1),(75,1),(83,1),(84,1)}
      82:{1,3,5}:{(74,1),(75,1),(77,1),(84,1)}
      83:{2,4,5}:{(78,1),(79,1),(81,1)}
      84:{1,2,5}:{(80,1),(81,1),(82,1)}

444 :  0:{1,2,3,5,6}:{(1,1),(5,1),(16,1),(17,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(14,1),(15,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(9,1),(20,1),(21,1),(23,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,4,5}:{(5,1),(13,1),(14,1),(15,1),(26,1)}
       9:{3,5,6}:{(4,1),(5,1),(13,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(15,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,4,5}:{(8,1),(10,1),(20,1)}
      15:{2,4,5}:{(8,1),(11,1),(21,1)}
      16:{1,3,5,6}:{(9,1),(10,1),(20,1),(23,1),(28,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(21,1),(23,1),(28,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(18,1),(25,1),(26,1),(27,1)}
      23:{1,2,5,6}:{(16,1),(17,1),(18,1),(25,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(22,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

445 :  0:{1,2,3,6}:{(3,1),(5,1),(34,1),(36,1)}
       1:{1,3,4,6}:{(5,1),(6,1),(20,1),(23,1),(36,1)}
       2:{1,4,5,6}:{(7,1),(23,1)}
       3:{1,2,3,5}:{(0,1),(8,1),(10,1),(15,1),(27,1),(29,1)}
       4:{3,4,5}:{(11,1),(12,1),(13,1),(29,1)}
       5:{1,2,4,6}:{(0,1),(1,1),(10,1),(14,1),(15,1)}
       6:{1,3,5}:{(1,1),(12,1),(15,1),(29,1)}
       7:{3,5,6}:{(2,1),(13,1),(16,1)}
       8:{1,2,3}:{(18,1)}
       9:{2,3,4}:{(18,1),(19,1),(20,1)}
      10:{1,2,4}:{(3,1),(20,1)}
      11:{2,4,5}:{(4,1),(19,1),(22,1)}
      12:{1,4,5}:{(4,1),(6,1),(23,1)}
      13:{3,4,6}:{(4,1),(7,1),(22,1),(23,1),(36,1)}
      14:{2,3,4,6}:{(5,1),(20,1),(24,1),(36,1),(37,1)}
      15:{1,2,5}:{(5,1),(6,1),(24,1)}
      16:{2,5,6}:{(7,1),(22,1)}
      17:{1,3,5,6}:{(6,1),(7,1),(23,1),(25,1),(36,1)}
      18:{1,2,4}:{(8,1),(9,1),(26,1),(27,1)}
      19:{2,3,5}:{(9,1),(11,1),(27,1),(28,1),(29,1)}
      20:{3,4}:{(10,1),(29,1)}
      21:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(27,1),(29,1),(30,1),(31,1),(38,1)}
      22:{2,4,6}:{(11,1),(13,1),(16,1),(28,1)}
      23:{1,4,6}:{(12,1),(13,1),(17,1)}
      24:{2,3,5}:{(14,1),(15,1),(29,1),(31,1)}
      25:{1,2,5,6}:{(15,1),(16,1),(17,1),(30,1),(32,1),(44,1)}
      26:{1,3,4}:{(18,1),(20,1),(33,1)}
      27:{1,2,5}:{(18,1),(19,1),(33,1),(34,1)}
      28:{2,3,6}:{(19,1),(22,1),(34,1),(36,1)}
      29:{3,5}:{(20,1),(21,1),(36,1)}
      30:{1,2,4,6}:{(21,1),(22,1),(23,1),(25,1),(34,1),(36,1),(37,1),(42,1)}
      31:{2,4,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(24,1),(25,1),(36,1),(37,1),(43,1)}
      33:{1,3,5}:{(26,1),(27,1),(29,1),(38,1),(39,1)}
      34:{1,2,6}:{(27,1),(28,1),(39,1)}
      35:{3,4,5}:{(29,1),(31,1),(38,1),(40,1)}
      36:{3,6}:{(29,1),(30,1)}
      37:{2,4,6}:{(31,1),(32,1),(40,1)}
      38:{1,4,5}:{(33,1),(35,1),(42,1)}
      39:{1,3,6}:{(33,1),(34,1),(36,1),(42,1)}
      40:{3,4,6}:{(35,1),(36,1),(37,1),(42,1),(43,1)}
      41:{2,4,5,6}:{(37,1),(43,1)}
      42:{1,4,6}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,5,6}:{(40,1),(41,1),(44,1)}
      44:{1,5,6}:{(42,1),(43,1)}

446 :  0:{1,3,5,6}:{(2,1),(3,1),(11,1),(13,1),(22,1)}
       1:{2,3,5,6}:{(2,1),(4,1),(12,1),(13,1),(23,1)}
       2:{1,2,5,6}:{(0,1),(1,1),(7,1),(17,1),(18,1),(27,1)}
       3:{1,4,6}:{(0,1),(5,1),(8,1),(25,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(26,1)}
       5:{1,4,5}:{(3,1),(11,1)}
       6:{2,4,5}:{(4,1),(12,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(13,1),(14,1),(15,1),(24,1),(28,1)}
       8:{3,4,6}:{(3,1),(11,1),(13,1),(14,1),(21,1)}
       9:{3,4,6}:{(4,1),(12,1),(13,1),(15,1),(21,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(7,1),(16,1),(17,1),(18,1),(25,1),(26,1),(27,1)}
      11:{3,5}:{(5,1),(8,1),(17,1)}
      12:{3,5}:{(6,1),(9,1),(18,1)}
      13:{3,6}:{(7,1),(16,1),(29,1)}
      14:{2,4,6}:{(8,1),(17,1),(20,1),(26,1)}
      15:{1,4,6}:{(9,1),(18,1),(19,1),(25,1)}
      16:{3,5}:{(10,1),(13,1),(21,1)}
      17:{2,5}:{(11,1),(14,1)}
      18:{1,5}:{(12,1),(15,1)}
      19:{1,3,6}:{(13,1),(15,1),(22,1),(24,1)}
      20:{2,3,6}:{(13,1),(14,1),(23,1),(24,1)}
      21:{3,4}:{(16,1),(25,1),(26,1),(29,1)}
      22:{1,3,5}:{(16,1),(18,1),(19,1),(25,1),(27,1),(29,1)}
      23:{2,3,5}:{(16,1),(17,1),(20,1),(26,1),(27,1),(29,1)}
      24:{1,2,6}:{(19,1),(20,1),(27,1)}
      25:{1,4}:{(21,1),(22,1)}
      26:{2,4}:{(21,1),(23,1)}
      27:{1,2,5}:{(22,1),(23,1),(24,1),(28,1)}
      28:{1,2,4}:{(25,1),(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

447 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(18,1)}
       1:{3,5,6}:{(0,1),(2,1),(24,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(16,1),(19,1),(25,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(14,1),(19,1),(26,1)}
       5:{3,4,5}:{(2,1),(11,1),(12,1),(24,1)}
       6:{1,4,6}:{(2,1),(3,1),(11,1),(28,1)}
       7:{2,4,6}:{(2,1),(4,1),(12,1),(29,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(22,1)}
       9:{2,3,4,6}:{(7,1),(14,1),(15,1),(19,1),(27,1)}
      10:{1,3,4,6}:{(6,1),(16,1),(17,1),(19,1),(27,1)}
      11:{1,4,5}:{(5,1),(6,1),(16,1)}
      12:{2,4,5}:{(5,1),(7,1),(14,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(18,1),(19,1)}
      14:{2,3,5}:{(9,1),(12,1),(20,1),(24,1)}
      15:{1,2,4,6}:{(9,1),(20,1),(21,1),(28,1)}
      16:{1,3,5}:{(10,1),(11,1),(22,1),(24,1)}
      17:{1,2,4,6}:{(10,1),(22,1),(23,1),(29,1)}
      18:{1,2,4,5}:{(11,1),(12,1),(13,1),(20,1),(22,1),(24,1),(28,1),(29,1)}
      19:{3,6}:{(13,1),(24,1)}
      20:{1,2,5}:{(14,1),(15,1),(25,1)}
      21:{1,3,6}:{(15,1),(19,1),(25,1)}
      22:{1,2,5}:{(16,1),(17,1),(26,1)}
      23:{2,3,6}:{(17,1),(19,1),(26,1)}
      24:{3,5}:{(18,1),(19,1),(27,1)}
      25:{1,3,5}:{(20,1),(21,1),(24,1),(28,1)}
      26:{2,3,5}:{(22,1),(23,1),(24,1),(29,1)}
      27:{3,4}:{(24,1),(28,1),(29,1)}
      28:{1,4}:{(25,1),(27,1)}
      29:{2,4}:{(26,1),(27,1)}

448 :  0:{1,2,3,6}:{(3,1),(4,1),(32,1),(44,1)}
       1:{2,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(32,1)}
       2:{1,3,4,6}:{(3,1),(6,1),(15,1),(18,1),(32,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       4:{1,2,3,5}:{(0,1),(7,1),(8,1),(23,1),(42,1),(43,1)}
       5:{2,3,5}:{(1,1),(7,1),(10,1),(23,1)}
       6:{1,3,5}:{(2,1),(7,1),(12,1),(23,1)}
       7:{1,2,5}:{(3,1),(5,1),(6,1)}
       8:{1,2,4}:{(4,1),(15,1)}
       9:{2,3,5,6}:{(5,1),(13,1),(16,1),(30,1),(32,1)}
      10:{2,4,5}:{(5,1),(16,1),(17,1)}
      11:{1,3,5,6}:{(6,1),(13,1),(18,1),(31,1),(32,1)}
      12:{1,4,5}:{(6,1),(18,1),(19,1)}
      13:{1,2,5,6}:{(7,1),(9,1),(11,1),(22,1),(38,1),(39,1)}
      14:{1,2,4,5}:{(7,1),(8,1),(10,1),(12,1),(22,1),(23,1),(27,1),(29,1),(42,1)}
      15:{3,4}:{(8,1),(23,1)}
      16:{2,4,6}:{(9,1),(10,1),(26,1)}
      17:{3,4,5}:{(10,1),(23,1),(26,1),(27,1)}
      18:{1,4,6}:{(11,1),(12,1),(28,1)}
      19:{3,4,5}:{(12,1),(23,1),(28,1),(29,1)}
      20:{2,4,5,6}:{(16,1),(30,1)}
      21:{1,4,5,6}:{(18,1),(31,1)}
      22:{1,2,4,6}:{(13,1),(14,1),(16,1),(18,1),(32,1),(36,1),(37,1),(44,1)}
      23:{3,5}:{(14,1),(15,1),(32,1)}
      24:{1,3,4}:{(15,1),(33,1),(35,1)}
      25:{2,3,4}:{(15,1),(34,1),(35,1)}
      26:{3,4,6}:{(16,1),(17,1),(30,1),(32,1),(36,1)}
      27:{1,4,5}:{(17,1),(33,1),(36,1)}
      28:{3,4,6}:{(18,1),(19,1),(31,1),(32,1),(37,1)}
      29:{2,4,5}:{(19,1),(34,1),(37,1)}
      30:{3,5,6}:{(20,1),(26,1),(38,1)}
      31:{3,5,6}:{(21,1),(28,1),(39,1)}
      32:{3,6}:{(22,1),(23,1)}
      33:{1,3,5}:{(23,1),(24,1),(27,1),(40,1),(42,1)}
      34:{2,3,5}:{(23,1),(25,1),(29,1),(41,1),(42,1)}
      35:{1,2,4}:{(24,1),(25,1),(42,1),(43,1)}
      36:{1,4,6}:{(26,1),(27,1),(38,1),(40,1)}
      37:{2,4,6}:{(28,1),(29,1),(39,1),(41,1)}
      38:{1,5,6}:{(30,1),(36,1)}
      39:{2,5,6}:{(31,1),(37,1)}
      40:{1,3,6}:{(32,1),(33,1),(36,1),(44,1)}
      41:{2,3,6}:{(32,1),(34,1),(37,1),(44,1)}
      42:{1,2,5}:{(33,1),(34,1),(35,1),(44,1)}
      43:{1,2,3}:{(35,1)}
      44:{1,2,6}:{(40,1),(41,1),(42,1)}

449 :  0:{1,2,3,6}:{(2,1),(3,1),(33,1),(43,1)}
       1:{2,3,4,6}:{(3,1),(4,1),(12,1),(16,1),(33,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(20,1),(23,1),(38,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       4:{2,3,5}:{(1,1),(7,1),(8,1),(23,1)}
       5:{1,3,4,6}:{(3,1),(11,1),(12,1),(29,1),(33,1)}
       6:{1,2,4}:{(2,1),(12,1)}
       7:{1,2,5}:{(3,1),(4,1),(11,1)}
       8:{2,4,5}:{(4,1),(15,1),(16,1)}
       9:{2,3,5,6}:{(4,1),(14,1),(16,1),(17,1),(33,1)}
      10:{2,4,5,6}:{(16,1),(17,1)}
      11:{1,3,5}:{(5,1),(7,1),(18,1),(23,1)}
      12:{3,4}:{(6,1),(23,1)}
      13:{1,2,4,5}:{(6,1),(7,1),(8,1),(18,1),(23,1),(24,1),(25,1),(36,1),(38,1)}
      14:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(27,1),(44,1)}
      15:{3,4,5}:{(8,1),(23,1),(25,1),(26,1)}
      16:{2,4,6}:{(8,1),(9,1),(26,1)}
      17:{3,5,6}:{(10,1),(26,1),(27,1)}
      18:{1,4,5}:{(11,1),(28,1),(29,1)}
      19:{1,3,5,6}:{(11,1),(14,1),(29,1),(33,1),(41,1)}
      20:{1,2,3}:{(30,1)}
      21:{2,3,4}:{(12,1),(30,1),(31,1)}
      22:{1,3,4}:{(12,1),(30,1),(32,1)}
      23:{3,5}:{(12,1),(13,1),(33,1)}
      24:{1,2,4,6}:{(13,1),(14,1),(16,1),(29,1),(33,1),(34,1),(42,1),(43,1)}
      25:{1,4,5}:{(15,1),(32,1),(34,1)}
      26:{3,4,6}:{(15,1),(16,1),(17,1),(33,1),(34,1)}
      27:{1,5,6}:{(17,1),(34,1)}
      28:{3,4,5}:{(18,1),(23,1),(36,1),(37,1)}
      29:{1,4,6}:{(18,1),(19,1),(37,1)}
      30:{1,2,4}:{(20,1),(21,1),(22,1),(38,1)}
      31:{2,3,5}:{(21,1),(23,1),(36,1),(38,1),(39,1)}
      32:{1,3,5}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
      33:{3,6}:{(23,1),(24,1)}
      34:{1,4,6}:{(25,1),(26,1),(27,1),(40,1)}
      35:{1,4,5,6}:{(29,1),(41,1)}
      36:{2,4,5}:{(28,1),(31,1),(42,1)}
      37:{3,4,6}:{(28,1),(29,1),(33,1),(41,1),(42,1)}
      38:{1,2,5}:{(30,1),(31,1),(32,1),(43,1)}
      39:{2,3,6}:{(31,1),(33,1),(42,1),(43,1)}
      40:{1,3,6}:{(32,1),(33,1),(34,1),(43,1)}
      41:{3,5,6}:{(35,1),(37,1),(44,1)}
      42:{2,4,6}:{(36,1),(37,1),(39,1),(44,1)}
      43:{1,2,6}:{(38,1),(39,1),(40,1)}
      44:{2,5,6}:{(41,1),(42,1)}

450 :  0:{2,4,5,6}:{(3,1),(17,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(17,1),(30,1),(31,1),(37,1)}
       2:{3,4,5}:{(7,1),(8,1),(9,1),(25,1)}
       3:{3,5,6}:{(0,1),(7,1),(10,1)}
       4:{2,3,5}:{(1,1),(9,1),(12,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(12,1),(13,1),(27,1)}
       6:{1,3,4}:{(14,1),(15,1),(31,1)}
       7:{3,4,6}:{(2,1),(3,1),(16,1),(17,1),(30,1)}
       8:{1,4,5}:{(2,1),(14,1),(16,1)}
       9:{2,4,5}:{(2,1),(4,1),(17,1)}
      10:{1,5,6}:{(3,1),(16,1)}
      11:{2,3,5,6}:{(3,1),(4,1),(17,1),(19,1),(30,1)}
      12:{1,2,5}:{(4,1),(5,1),(20,1)}
      13:{1,3,6}:{(5,1),(20,1),(30,1)}
      14:{1,3,5}:{(6,1),(8,1),(21,1),(22,1),(25,1)}
      15:{1,2,4}:{(6,1),(22,1),(23,1),(34,1)}
      16:{1,4,6}:{(7,1),(8,1),(10,1),(21,1)}
      17:{2,4,6}:{(7,1),(9,1),(11,1)}
      18:{1,2,4,5}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(27,1),(34,1),(36,1),(39,1)}
      19:{1,2,5,6}:{(10,1),(11,1),(12,1),(24,1),(26,1),(39,1)}
      20:{1,3,5}:{(12,1),(13,1),(25,1),(27,1)}
      21:{1,3,6}:{(14,1),(16,1),(28,1),(30,1)}
      22:{1,2,5}:{(14,1),(15,1),(28,1),(29,1)}
      23:{2,3}:{(15,1)}
      24:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(28,1),(30,1),(32,1),(37,1)}
      25:{3,5}:{(18,1),(30,1),(31,1)}
      26:{1,3,5,6}:{(19,1),(20,1),(30,1),(32,1),(38,1)}
      27:{1,4}:{(20,1),(31,1)}
      28:{1,2,6}:{(21,1),(22,1),(33,1)}
      29:{2,3,5}:{(22,1),(23,1),(25,1),(33,1),(34,1),(39,1)}
      30:{3,6}:{(24,1),(25,1)}
      31:{3,4}:{(25,1),(27,1),(34,1)}
      32:{1,4,6}:{(26,1),(27,1),(35,1),(36,1)}
      33:{2,3,6}:{(28,1),(29,1),(30,1),(37,1)}
      34:{2,4}:{(29,1),(31,1)}
      35:{3,4,6}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{1,4,5}:{(32,1),(38,1)}
      37:{2,4,6}:{(33,1),(34,1),(35,1),(39,1)}
      38:{3,5}:{(35,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

451 :  0:{1,2,3,6}:{(2,1),(3,1),(33,1),(43,1)}
       1:{1,3,4,6}:{(3,1),(4,1),(12,1),(16,1),(33,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(20,1),(23,1),(38,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       4:{1,3,5}:{(1,1),(7,1),(8,1),(23,1)}
       5:{2,3,4,6}:{(3,1),(11,1),(12,1),(29,1),(33,1)}
       6:{1,2,4}:{(2,1),(12,1)}
       7:{1,2,5}:{(3,1),(4,1),(11,1)}
       8:{1,4,5}:{(4,1),(15,1),(16,1)}
       9:{1,3,5,6}:{(4,1),(14,1),(16,1),(17,1),(33,1)}
      10:{1,4,5,6}:{(16,1),(17,1)}
      11:{2,3,5}:{(5,1),(7,1),(18,1),(23,1)}
      12:{3,4}:{(6,1),(23,1)}
      13:{1,2,4,5}:{(6,1),(7,1),(8,1),(18,1),(23,1),(24,1),(25,1),(36,1),(38,1)}
      14:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(27,1),(44,1)}
      15:{3,4,5}:{(8,1),(23,1),(25,1),(26,1)}
      16:{1,4,6}:{(8,1),(9,1),(26,1)}
      17:{3,5,6}:{(10,1),(26,1),(27,1)}
      18:{2,4,5}:{(11,1),(28,1),(29,1)}
      19:{2,3,5,6}:{(11,1),(14,1),(29,1),(33,1),(41,1)}
      20:{1,2,3}:{(30,1)}
      21:{2,3,4}:{(12,1),(30,1),(31,1)}
      22:{1,3,4}:{(12,1),(30,1),(32,1)}
      23:{3,5}:{(12,1),(13,1),(33,1)}
      24:{1,2,4,6}:{(13,1),(14,1),(16,1),(29,1),(33,1),(34,1),(42,1),(43,1)}
      25:{2,4,5}:{(15,1),(31,1),(34,1)}
      26:{3,4,6}:{(15,1),(16,1),(17,1),(33,1),(34,1)}
      27:{2,5,6}:{(17,1),(34,1)}
      28:{3,4,5}:{(18,1),(23,1),(36,1),(37,1)}
      29:{2,4,6}:{(18,1),(19,1),(37,1)}
      30:{1,2,4}:{(20,1),(21,1),(22,1),(38,1)}
      31:{2,3,5}:{(21,1),(23,1),(25,1),(38,1),(39,1)}
      32:{1,3,5}:{(22,1),(23,1),(36,1),(38,1),(40,1)}
      33:{3,6}:{(23,1),(24,1)}
      34:{2,4,6}:{(25,1),(26,1),(27,1),(39,1)}
      35:{2,4,5,6}:{(29,1),(41,1)}
      36:{1,4,5}:{(28,1),(32,1),(42,1)}
      37:{3,4,6}:{(28,1),(29,1),(33,1),(41,1),(42,1)}
      38:{1,2,5}:{(30,1),(31,1),(32,1),(43,1)}
      39:{2,3,6}:{(31,1),(33,1),(34,1),(43,1)}
      40:{1,3,6}:{(32,1),(33,1),(42,1),(43,1)}
      41:{3,5,6}:{(35,1),(37,1),(44,1)}
      42:{1,4,6}:{(36,1),(37,1),(40,1),(44,1)}
      43:{1,2,6}:{(38,1),(39,1),(40,1)}
      44:{1,5,6}:{(41,1),(42,1)}

452 :  0:{1,4,5,6}:{(3,1),(16,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(16,1),(30,1),(31,1),(37,1)}
       2:{3,4,5}:{(7,1),(8,1),(9,1),(25,1)}
       3:{3,5,6}:{(0,1),(7,1),(11,1)}
       4:{1,3,5}:{(1,1),(8,1),(12,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(12,1),(13,1),(27,1)}
       6:{2,3,4}:{(14,1),(15,1),(31,1)}
       7:{3,4,6}:{(2,1),(3,1),(16,1),(17,1),(30,1)}
       8:{1,4,5}:{(2,1),(4,1),(16,1)}
       9:{2,4,5}:{(2,1),(14,1),(17,1)}
      10:{1,3,5,6}:{(3,1),(4,1),(16,1),(19,1),(30,1)}
      11:{2,5,6}:{(3,1),(17,1)}
      12:{1,2,5}:{(4,1),(5,1),(20,1)}
      13:{2,3,6}:{(5,1),(20,1),(30,1)}
      14:{2,3,5}:{(6,1),(9,1),(21,1),(22,1),(25,1)}
      15:{1,2,4}:{(6,1),(22,1),(23,1),(34,1)}
      16:{1,4,6}:{(7,1),(8,1),(10,1)}
      17:{2,4,6}:{(7,1),(9,1),(11,1),(21,1)}
      18:{1,2,4,5}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(27,1),(34,1),(36,1),(39,1)}
      19:{1,2,5,6}:{(10,1),(11,1),(12,1),(24,1),(26,1),(39,1)}
      20:{2,3,5}:{(12,1),(13,1),(25,1),(27,1)}
      21:{2,3,6}:{(14,1),(17,1),(28,1),(30,1)}
      22:{1,2,5}:{(14,1),(15,1),(28,1),(29,1)}
      23:{1,3}:{(15,1)}
      24:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(28,1),(30,1),(32,1),(37,1)}
      25:{3,5}:{(18,1),(30,1),(31,1)}
      26:{2,3,5,6}:{(19,1),(20,1),(30,1),(32,1),(38,1)}
      27:{2,4}:{(20,1),(31,1)}
      28:{1,2,6}:{(21,1),(22,1),(33,1)}
      29:{1,3,5}:{(22,1),(23,1),(25,1),(33,1),(34,1),(39,1)}
      30:{3,6}:{(24,1),(25,1)}
      31:{3,4}:{(25,1),(27,1),(34,1)}
      32:{2,4,6}:{(26,1),(27,1),(35,1),(36,1)}
      33:{1,3,6}:{(28,1),(29,1),(30,1),(37,1)}
      34:{1,4}:{(29,1),(31,1)}
      35:{3,4,6}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{2,4,5}:{(32,1),(38,1)}
      37:{1,4,6}:{(33,1),(34,1),(35,1),(39,1)}
      38:{3,5}:{(35,1),(36,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

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

454 :  0:{1,2,3,5,6}:{(1,1),(4,1),(7,1),(19,1),(20,1),(21,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(24,1),(25,1)}
       2:{3,4,6}:{(1,1),(7,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(16,1),(17,1),(19,1)}
       4:{1,2,3,6}:{(9,1),(11,1),(29,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(22,1),(24,1),(29,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(13,1),(22,1),(25,1),(29,1)}
       7:{3,5}:{(2,1),(3,1)}
       8:{1,2,4,5,6}:{(3,1),(14,1),(24,1),(25,1),(26,1)}
       9:{1,2,3,5}:{(4,1),(15,1),(19,1),(27,1)}
      10:{3,4,5}:{(7,1),(16,1),(17,1),(18,1),(27,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(6,1),(15,1),(19,1)}
      12:{2,3,5}:{(5,1),(7,1),(16,1),(19,1),(27,1)}
      13:{1,3,5}:{(6,1),(7,1),(17,1),(19,1),(27,1)}
      14:{3,5,6}:{(7,1),(8,1),(18,1)}
      15:{1,2,4}:{(9,1),(22,1)}
      16:{2,4,5}:{(10,1),(12,1),(24,1)}
      17:{1,4,5}:{(10,1),(13,1),(25,1)}
      18:{3,4,6}:{(10,1),(14,1),(24,1),(25,1),(29,1)}
      19:{1,2,5}:{(11,1),(12,1),(13,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(29,1)}
      21:{1,3,5,6}:{(13,1),(14,1),(25,1),(26,1),(29,1)}
      22:{3,4}:{(15,1),(27,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(17,1),(19,1),(27,1),(28,1)}
      24:{2,4,6}:{(16,1),(18,1),(20,1)}
      25:{1,4,6}:{(17,1),(18,1),(21,1)}
      26:{1,2,5,6}:{(19,1),(20,1),(21,1),(28,1)}
      27:{3,5}:{(22,1),(23,1),(29,1)}
      28:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(29,1)}
      29:{3,6}:{(27,1),(28,1)}

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

456 :  0:{1,2,3,5,6}:{(2,1),(7,1),(8,1),(9,1),(22,1),(23,1)}
       1:{1,2,4,5,6}:{(3,1),(4,1),(13,1),(14,1),(15,1)}
       2:{1,2,4,6}:{(0,1),(4,1),(5,1),(13,1),(14,1)}
       3:{3,5,6}:{(1,1),(6,1),(9,1)}
       4:{1,2,4,5}:{(2,1),(9,1),(19,1),(20,1),(22,1)}
       5:{3,4,6}:{(2,1),(9,1)}
       6:{3,4,6}:{(3,1),(12,1),(13,1),(14,1),(25,1)}
       7:{1,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(25,1)}
       8:{2,3,5,6}:{(3,1),(14,1),(15,1),(17,1),(25,1)}
       9:{3,5}:{(4,1),(5,1)}
      10:{1,3,4,6}:{(5,1),(13,1),(16,1),(18,1),(25,1),(29,1)}
      11:{2,3,4,6}:{(5,1),(14,1),(17,1),(18,1),(25,1),(29,1)}
      12:{3,4,5}:{(6,1),(9,1),(19,1),(20,1),(27,1)}
      13:{1,4,6}:{(6,1),(7,1),(19,1)}
      14:{2,4,6}:{(6,1),(8,1),(20,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(21,1),(22,1)}
      16:{1,3,5}:{(9,1),(10,1),(19,1),(22,1),(27,1)}
      17:{2,3,5}:{(9,1),(11,1),(20,1),(22,1),(27,1)}
      18:{1,2,4,6}:{(10,1),(11,1),(22,1),(23,1),(28,1)}
      19:{1,4,5}:{(12,1),(13,1),(16,1)}
      20:{2,4,5}:{(12,1),(14,1),(17,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(15,1),(24,1),(25,1)}
      22:{1,2,5}:{(16,1),(17,1),(18,1)}
      23:{1,2,3,6}:{(18,1),(25,1),(26,1)}
      24:{1,2,4,5}:{(19,1),(20,1),(21,1),(22,1),(27,1),(28,1)}
      25:{3,6}:{(21,1),(27,1)}
      26:{1,2,3,5}:{(22,1),(23,1),(27,1),(28,1)}
      27:{3,5}:{(24,1),(25,1),(29,1)}
      28:{1,2,4}:{(26,1),(29,1)}
      29:{3,4}:{(27,1),(28,1)}

457 :  0:{1,2,3,4,6}:{(1,1),(5,1),(11,1),(25,1)}
       1:{1,2,3,5}:{(0,1),(2,1)}
       2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       3:{1,2,3,5,6}:{(1,1),(5,1),(10,1),(24,1),(25,1)}
       4:{3,4,5}:{(2,1),(9,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
       6:{1,2,4,5,6}:{(5,1),(10,1),(21,1),(22,1),(24,1)}
       7:{2,3,4,5}:{(4,1),(12,1),(13,1),(29,1)}
       8:{1,3,4,5}:{(4,1),(12,1),(14,1),(29,1)}
       9:{3,4,6}:{(4,1),(5,1),(10,1)}
      10:{3,5,6}:{(6,1),(9,1)}
      11:{1,2,3,4}:{(19,1)}
      12:{1,2,4,5}:{(7,1),(8,1),(19,1),(20,1)}
      13:{2,3,4,6}:{(7,1),(9,1),(17,1),(20,1),(32,1)}
      14:{1,3,4,6}:{(8,1),(9,1),(18,1),(20,1),(32,1)}
      15:{3,4,5,6}:{(10,1),(21,1),(22,1),(30,1)}
      16:{1,2,3,4,6}:{(11,1),(23,1),(25,1),(31,1)}
      17:{2,3,5,6}:{(10,1),(13,1),(21,1),(24,1),(30,1)}
      18:{1,3,5,6}:{(10,1),(14,1),(22,1),(24,1),(30,1)}
      19:{1,2,3,5}:{(11,1),(12,1),(25,1)}
      20:{1,2,4,6}:{(12,1),(13,1),(14,1),(24,1),(25,1)}
      21:{2,4,5,6}:{(15,1),(17,1)}
      22:{1,4,5,6}:{(15,1),(18,1)}
      23:{1,2,3,5}:{(16,1),(27,1)}
      24:{1,2,5,6}:{(17,1),(18,1),(20,1)}
      25:{1,2,3,6}:{(19,1),(20,1)}
      26:{1,2,4,5,6}:{(21,1),(22,1),(24,1),(30,1),(31,1)}
      27:{1,2,4,5}:{(23,1),(29,1),(31,1)}
      28:{1,2,3,5,6}:{(23,1),(24,1),(25,1),(30,1),(31,1)}
      29:{3,4,5}:{(27,1),(32,1)}
      30:{3,5,6}:{(26,1),(32,1)}
      31:{1,2,4,6}:{(27,1),(28,1),(32,1)}
      32:{3,4,6}:{(29,1),(30,1),(31,1)}

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

459 :  0:{1,2,3,5,6}:{(1,1),(4,1),(7,1),(19,1),(20,1),(21,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(24,1),(25,1)}
       2:{3,4,6}:{(1,1),(7,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(16,1),(17,1),(19,1)}
       4:{1,2,3,6}:{(9,1),(11,1),(29,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(22,1),(24,1),(29,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(13,1),(22,1),(25,1),(29,1)}
       7:{3,5}:{(2,1),(3,1)}
       8:{1,2,4,5,6}:{(3,1),(14,1),(24,1),(25,1),(26,1)}
       9:{1,2,3,5}:{(4,1),(15,1),(19,1),(27,1)}
      10:{3,4,5}:{(7,1),(16,1),(17,1),(18,1),(27,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(6,1),(15,1),(19,1)}
      12:{2,3,5}:{(5,1),(7,1),(16,1),(19,1),(27,1)}
      13:{1,3,5}:{(6,1),(7,1),(17,1),(19,1),(27,1)}
      14:{3,5,6}:{(7,1),(8,1),(18,1)}
      15:{1,2,4}:{(9,1),(22,1)}
      16:{2,4,5}:{(10,1),(12,1),(24,1)}
      17:{1,4,5}:{(10,1),(13,1),(25,1)}
      18:{3,4,6}:{(10,1),(14,1),(24,1),(25,1),(29,1)}
      19:{1,2,5}:{(11,1),(12,1),(13,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(29,1)}
      21:{1,3,5,6}:{(13,1),(14,1),(25,1),(26,1),(29,1)}
      22:{3,4}:{(15,1),(27,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(17,1),(19,1),(27,1),(28,1)}
      24:{2,4,6}:{(16,1),(18,1),(20,1)}
      25:{1,4,6}:{(17,1),(18,1),(21,1)}
      26:{1,2,5,6}:{(19,1),(20,1),(21,1),(28,1)}
      27:{3,5}:{(22,1),(23,1),(29,1)}
      28:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(29,1)}
      29:{3,6}:{(27,1),(28,1)}

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

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

462 :  0:{1,2,3,4,6}:{(1,1),(4,1),(22,1),(23,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(10,1),(21,1),(22,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{3,4,5}:{(3,1),(7,1)}
       6:{1,2,4,5,6}:{(4,1),(10,1),(19,1),(20,1),(21,1)}
       7:{3,4,6}:{(4,1),(5,1),(10,1)}
       8:{1,3,4,5}:{(5,1),(11,1),(13,1),(32,1)}
       9:{2,3,4,5}:{(5,1),(12,1),(13,1),(32,1)}
      10:{3,5,6}:{(6,1),(7,1)}
      11:{1,3,4,6}:{(7,1),(8,1),(15,1),(17,1),(30,1)}
      12:{2,3,4,6}:{(7,1),(9,1),(16,1),(17,1),(30,1)}
      13:{1,2,4,5}:{(8,1),(9,1),(17,1),(18,1)}
      14:{3,4,5,6}:{(10,1),(19,1),(20,1),(27,1)}
      15:{1,3,5,6}:{(10,1),(11,1),(19,1),(21,1),(27,1)}
      16:{2,3,5,6}:{(10,1),(12,1),(20,1),(21,1),(27,1)}
      17:{1,2,4,6}:{(11,1),(12,1),(13,1),(21,1),(22,1)}
      18:{1,2,3,5}:{(13,1),(22,1),(23,1)}
      19:{1,4,5,6}:{(14,1),(15,1)}
      20:{2,4,5,6}:{(14,1),(16,1)}
      21:{1,2,5,6}:{(15,1),(16,1),(17,1)}
      22:{1,2,3,6}:{(17,1),(18,1)}
      23:{1,2,3,4}:{(18,1)}
      24:{1,2,4,5,6}:{(19,1),(20,1),(21,1),(27,1),(28,1)}
      25:{1,2,3,5,6}:{(21,1),(22,1),(27,1),(28,1),(29,1)}
      26:{1,2,3,4,6}:{(22,1),(23,1),(28,1),(29,1)}
      27:{3,5,6}:{(24,1),(30,1)}
      28:{1,2,4,6}:{(25,1),(30,1),(31,1)}
      29:{1,2,3,5}:{(26,1),(31,1)}
      30:{3,4,6}:{(27,1),(28,1),(32,1)}
      31:{1,2,4,5}:{(28,1),(29,1),(32,1)}
      32:{3,4,5}:{(30,1),(31,1)}

463 : 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:{3,4,5}:{(2,1),(6,1)}
      5:{1,2,4,6}:{(2,1),(3,1),(6,1),(7,1)}
      6:{3,4,6}:{(4,1),(5,1),(8,1)}
      7:{1,2,5,6}:{(5,1),(8,1)}
      8:{3,5,6}:{(6,1),(7,1),(9,1)}
      9:{4,5,6}:{(8,1)}

464 :  0:{1,3,4,6}:{(4,1),(5,1),(7,1),(22,1),(24,1),(31,1)}
       1:{1,3,5,6}:{(5,1),(6,1),(7,1),(9,1),(22,1)}
       2:{2,3,5,6}:{(6,1),(8,1),(18,1),(21,1),(22,1)}
       3:{1,4,5,6}:{(7,1),(9,1)}
       4:{1,2,4,6}:{(0,1),(10,1),(11,1),(25,1)}
       5:{1,3,5}:{(0,1),(11,1),(12,1),(26,1),(28,1)}
       6:{1,2,5,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(28,1)}
       7:{1,4,6}:{(1,1),(12,1),(15,1)}
       8:{2,4,6}:{(2,1),(13,1),(16,1),(25,1)}
       9:{3,5,6}:{(3,1),(15,1),(17,1)}
      10:{2,3,6}:{(4,1),(18,1),(22,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,4,5}:{(5,1),(7,1),(20,1)}
      13:{2,4,5}:{(8,1),(21,1)}
      14:{1,2,4,6}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(24,1),(34,1)}
      15:{3,4,6}:{(7,1),(9,1),(20,1),(22,1),(23,1)}
      16:{3,4,6}:{(8,1),(21,1),(22,1),(24,1),(31,1)}
      17:{2,5,6}:{(9,1),(23,1)}
      18:{2,3,5}:{(10,1),(11,1),(25,1),(26,1)}
      19:{1,2,4,5}:{(11,1),(12,1),(13,1),(14,1),(25,1),(26,1),(27,1),(28,1),(35,1),(37,1)}
      20:{3,4,5}:{(12,1),(15,1),(26,1),(27,1)}
      21:{3,5}:{(13,1),(16,1),(28,1)}
      22:{3,6}:{(14,1),(26,1)}
      23:{2,4,6}:{(15,1),(17,1),(27,1),(30,1)}
      24:{1,4,6}:{(16,1),(28,1),(29,1),(35,1)}
      25:{2,4}:{(18,1),(31,1)}
      26:{3,5}:{(19,1),(22,1),(31,1)}
      27:{2,4,5}:{(20,1),(23,1),(33,1)}
      28:{1,5}:{(21,1),(24,1)}
      29:{1,3,6}:{(22,1),(24,1),(32,1),(34,1)}
      30:{2,3,6}:{(22,1),(23,1),(33,1),(34,1)}
      31:{3,4}:{(25,1),(26,1),(35,1)}
      32:{1,3,5}:{(26,1),(28,1),(29,1),(35,1),(37,1),(39,1)}
      33:{2,3,5}:{(26,1),(27,1),(30,1),(36,1),(37,1)}
      34:{1,2,6}:{(29,1),(30,1),(37,1)}
      35:{1,4}:{(31,1),(32,1)}
      36:{2,3,4}:{(31,1),(33,1),(38,1)}
      37:{1,2,5}:{(32,1),(33,1),(34,1),(38,1)}
      38:{1,2,4}:{(35,1),(36,1),(37,1),(39,1)}
      39:{1,3}:{(38,1)}

465 :  0:{1,2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(20,1)}
       1:{3,5,6}:{(0,1),(2,1),(25,1)}
       2:{3,4,6}:{(1,1),(6,1),(7,1),(8,1),(21,1),(28,1)}
       3:{1,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(21,1),(27,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1),(18,1),(21,1),(22,1)}
       5:{1,3,4,6}:{(7,1),(10,1),(11,1),(21,1),(28,1)}
       6:{3,4,5}:{(2,1),(13,1),(14,1),(25,1)}
       7:{1,4,6}:{(2,1),(3,1),(13,1),(29,1)}
       8:{2,4,6}:{(2,1),(4,1),(14,1),(26,1)}
       9:{1,2,5,6}:{(3,1),(4,1),(15,1),(16,1),(23,1)}
      10:{1,3,5}:{(5,1),(13,1),(16,1),(25,1)}
      11:{1,2,4,6}:{(5,1),(16,1),(17,1),(26,1)}
      12:{2,3,4,6}:{(8,1),(18,1),(19,1),(21,1),(28,1)}
      13:{1,4,5}:{(6,1),(7,1),(10,1)}
      14:{2,4,5}:{(6,1),(8,1),(18,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(9,1),(20,1),(21,1)}
      16:{1,2,5}:{(10,1),(11,1),(22,1)}
      17:{2,3,6}:{(11,1),(21,1),(22,1)}
      18:{2,3,5}:{(12,1),(14,1),(23,1),(25,1)}
      19:{1,2,4,6}:{(12,1),(23,1),(24,1),(29,1)}
      20:{1,2,4,5}:{(13,1),(14,1),(15,1),(16,1),(23,1),(25,1),(26,1),(29,1)}
      21:{3,6}:{(15,1),(25,1)}
      22:{2,3,5}:{(16,1),(17,1),(25,1),(26,1)}
      23:{1,2,5}:{(18,1),(19,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{3,5}:{(20,1),(21,1),(28,1)}
      26:{2,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{3,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

466 :  0:{1,2,3,6}:{(3,1),(4,1),(33,1),(44,1)}
       1:{2,3,4,6}:{(3,1),(5,1),(16,1),(17,1),(33,1)}
       2:{1,3,4,6}:{(3,1),(6,1),(16,1),(19,1),(33,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       4:{1,2,3,5}:{(0,1),(7,1),(8,1),(24,1),(42,1),(43,1)}
       5:{2,3,5}:{(1,1),(7,1),(10,1),(24,1)}
       6:{1,3,5}:{(2,1),(7,1),(12,1),(24,1)}
       7:{1,2,5}:{(3,1),(5,1),(6,1)}
       8:{1,2,4}:{(4,1),(16,1)}
       9:{2,3,5,6}:{(5,1),(14,1),(17,1),(32,1),(33,1)}
      10:{2,4,5}:{(5,1),(17,1),(18,1)}
      11:{1,3,5,6}:{(6,1),(14,1),(19,1),(21,1),(33,1)}
      12:{1,4,5}:{(6,1),(19,1),(20,1)}
      13:{1,4,5,6}:{(19,1),(21,1)}
      14:{1,2,5,6}:{(7,1),(9,1),(11,1),(23,1),(31,1),(39,1)}
      15:{1,2,4,5}:{(7,1),(8,1),(10,1),(12,1),(23,1),(24,1),(28,1),(30,1),(42,1)}
      16:{3,4}:{(8,1),(24,1)}
      17:{2,4,6}:{(9,1),(10,1),(27,1)}
      18:{3,4,5}:{(10,1),(24,1),(27,1),(28,1)}
      19:{1,4,6}:{(11,1),(12,1),(29,1)}
      20:{3,4,5}:{(12,1),(24,1),(29,1),(30,1)}
      21:{3,5,6}:{(13,1),(29,1),(31,1)}
      22:{2,4,5,6}:{(17,1),(32,1)}
      23:{1,2,4,6}:{(14,1),(15,1),(17,1),(19,1),(33,1),(37,1),(38,1),(44,1)}
      24:{3,5}:{(15,1),(16,1),(33,1)}
      25:{1,3,4}:{(16,1),(34,1),(36,1)}
      26:{2,3,4}:{(16,1),(35,1),(36,1)}
      27:{3,4,6}:{(17,1),(18,1),(32,1),(33,1),(37,1)}
      28:{1,4,5}:{(18,1),(34,1),(37,1)}
      29:{3,4,6}:{(19,1),(20,1),(21,1),(33,1),(38,1)}
      30:{2,4,5}:{(20,1),(35,1),(38,1)}
      31:{2,5,6}:{(21,1),(38,1)}
      32:{3,5,6}:{(22,1),(27,1),(39,1)}
      33:{3,6}:{(23,1),(24,1)}
      34:{1,3,5}:{(24,1),(25,1),(28,1),(40,1),(42,1)}
      35:{2,3,5}:{(24,1),(26,1),(30,1),(41,1),(42,1)}
      36:{1,2,4}:{(25,1),(26,1),(42,1),(43,1)}
      37:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      38:{2,4,6}:{(29,1),(30,1),(31,1),(41,1)}
      39:{1,5,6}:{(32,1),(37,1)}
      40:{1,3,6}:{(33,1),(34,1),(37,1),(44,1)}
      41:{2,3,6}:{(33,1),(35,1),(38,1),(44,1)}
      42:{1,2,5}:{(34,1),(35,1),(36,1),(44,1)}
      43:{1,2,3}:{(36,1)}
      44:{1,2,6}:{(40,1),(41,1),(42,1)}

467 : 0:{1,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{2,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{2,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{2,3,4,5}:{(4,1),(8,1)}
      7:{1,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{1,3,5}:{(7,1),(8,1)}

468 :  0:{2,3,4,5}:{(1,1),(2,1),(32,1),(59,1),(68,1)}
       1:{2,3,4,6}:{(0,1),(5,1),(6,1),(54,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(23,1),(52,1),(55,1)}
       3:{1,3,4,5}:{(8,1),(9,1),(15,1),(42,1),(79,1)}
       4:{3,4,5,6}:{(11,1),(12,1),(40,1),(79,1)}
       5:{2,3,5,6}:{(1,1),(12,1),(13,1),(40,1),(59,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(41,1)}
       7:{1,3,5}:{(2,1),(14,1),(15,1)}
       8:{1,3,4,6}:{(3,1),(17,1),(18,1),(70,1)}
       9:{1,2,4,5}:{(3,1),(18,1),(19,1),(23,1),(52,1),(71,1)}
      10:{1,2,3,5}:{(7,1),(19,1),(22,1),(23,1),(52,1)}
      11:{1,4,5,6}:{(4,1),(24,1),(83,1)}
      12:{2,4,5,6}:{(4,1),(5,1),(71,1)}
      13:{1,2,5,6}:{(5,1),(6,1),(26,1),(52,1)}
      14:{1,3,6}:{(6,1),(7,1)}
      15:{1,3,4}:{(7,1),(23,1)}
      16:{3,4,5,6}:{(28,1),(29,1),(57,1),(68,1)}
      17:{1,3,5,6}:{(8,1),(28,1),(30,1),(42,1),(57,1)}
      18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(58,1)}
      19:{2,3,5}:{(9,1),(31,1),(32,1)}
      20:{2,3,4,5}:{(33,1),(34,1),(64,1),(79,1),(82,1)}
      21:{1,3,4,5}:{(35,1),(36,1),(62,1),(68,1),(81,1)}
      22:{1,2,3,6}:{(10,1),(14,1),(31,1),(38,1)}
      23:{1,2,4}:{(10,1),(15,1),(32,1)}
      24:{1,3,5,6}:{(11,1),(35,1),(39,1),(40,1),(81,1)}
      25:{1,2,4,5,6}:{(11,1),(12,1),(13,1),(39,1),(40,1),(41,1),(66,1),(67,1)}
      26:{1,3,5,6}:{(13,1),(14,1),(40,1),(41,1),(42,1)}
      27:{1,3,4,6}:{(14,1),(15,1),(38,1),(41,1),(42,1),(65,1)}
      28:{1,4,5,6}:{(16,1),(17,1),(55,1)}
      29:{2,4,5,6}:{(16,1),(43,1),(77,1)}
      30:{1,2,5,6}:{(17,1),(18,1),(45,1),(52,1)}
      31:{2,3,6}:{(18,1),(19,1)}
      32:{2,3,4}:{(19,1),(23,1)}
      33:{2,3,4,6}:{(20,1),(43,1),(47,1),(70,1)}
      34:{1,2,4,5}:{(20,1),(47,1),(48,1),(73,1),(83,1),(84,1)}
      35:{1,3,4,6}:{(21,1),(24,1),(49,1),(54,1)}
      36:{1,2,4,5}:{(21,1),(49,1),(50,1),(73,1),(77,1),(84,1)}
      37:{1,2,3,5,6}:{(22,1),(26,1),(45,1),(51,1),(52,1),(53,1),(69,1),(72,1),(76,1),(84,1)}
      38:{1,2,4,6}:{(22,1),(23,1),(27,1),(46,1),(52,1)}
      39:{1,2,5,6}:{(24,1),(49,1),(53,1),(84,1)}
      40:{3,5,6}:{(25,1),(54,1),(76,1)}
      41:{1,4,6}:{(26,1),(54,1),(55,1)}
      42:{1,3,5}:{(27,1),(52,1),(55,1),(76,1)}
      43:{2,3,5,6}:{(29,1),(33,1),(56,1),(57,1),(82,1)}
      44:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(56,1),(57,1),(58,1),(66,1),(78,1)}
      45:{2,3,5,6}:{(30,1),(31,1),(57,1),(58,1),(59,1)}
      46:{2,3,4,6}:{(31,1),(32,1),(38,1),(58,1),(59,1),(65,1)}
      47:{1,2,4,6}:{(33,1),(34,1),(56,1),(61,1),(78,1)}
      48:{1,3,5}:{(34,1),(61,1),(62,1)}
      49:{1,2,4,6}:{(35,1),(36,1),(39,1),(63,1),(67,1)}
      50:{2,3,5}:{(36,1),(63,1),(64,1)}
      51:{1,2,4,6}:{(37,1),(41,1),(58,1),(65,1),(66,1),(67,1),(78,1)}
      52:{1,2,5}:{(38,1),(42,1),(59,1)}
      53:{2,3,5,6}:{(39,1),(40,1),(63,1),(67,1),(82,1)}
      54:{3,4,6}:{(40,1),(41,1),(67,1),(68,1)}
      55:{1,4,5}:{(41,1),(42,1),(68,1)}
      56:{1,2,5,6}:{(43,1),(47,1),(69,1),(84,1)}
      57:{3,5,6}:{(44,1),(70,1),(76,1)}
      58:{2,4,6}:{(45,1),(70,1),(71,1)}
      59:{2,3,5}:{(46,1),(52,1),(71,1),(76,1)}
      60:{1,2,3,5}:{(48,1),(50,1),(72,1),(73,1),(84,1)}
      61:{1,3,6}:{(47,1),(48,1)}
      62:{1,3,4}:{(48,1),(73,1)}
      63:{2,3,6}:{(49,1),(50,1)}
      64:{2,3,4}:{(50,1),(73,1)}
      65:{3,4,6}:{(51,1),(76,1)}
      66:{1,2,4,5}:{(51,1),(52,1),(55,1),(71,1),(76,1),(77,1),(83,1),(84,1)}
      67:{2,4,6}:{(53,1),(54,1),(77,1)}
      68:{3,4,5}:{(54,1),(55,1),(76,1),(77,1)}
      69:{1,3,5,6}:{(56,1),(57,1),(61,1),(78,1),(81,1)}
      70:{3,4,6}:{(57,1),(58,1),(78,1),(79,1)}
      71:{2,4,5}:{(58,1),(59,1),(79,1)}
      72:{1,2,3,6}:{(60,1),(61,1),(63,1),(80,1)}
      73:{1,2,4}:{(60,1),(62,1),(64,1)}
      74:{1,3,4,6}:{(61,1),(62,1),(65,1),(78,1),(80,1),(81,1)}
      75:{2,3,4,6}:{(63,1),(64,1),(65,1),(67,1),(80,1),(82,1)}
      76:{3,5}:{(65,1),(66,1)}
      77:{2,4,5}:{(67,1),(68,1),(82,1)}
      78:{1,4,6}:{(69,1),(70,1),(83,1)}
      79:{3,4,5}:{(70,1),(71,1),(76,1),(83,1)}
      80:{1,2,4,6}:{(72,1),(73,1),(74,1),(75,1),(84,1)}
      81:{1,3,5}:{(74,1),(76,1),(83,1),(84,1)}
      82:{2,3,5}:{(75,1),(76,1),(77,1),(84,1)}
      83:{1,4,5}:{(78,1),(79,1),(81,1)}
      84:{1,2,5}:{(80,1),(81,1),(82,1)}

469 :  0:{1,2,3,6}:{(2,1),(3,1),(33,1),(43,1)}
       1:{1,3,4,6}:{(3,1),(4,1),(12,1),(16,1),(33,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(20,1),(23,1),(38,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       4:{1,3,5}:{(1,1),(7,1),(8,1),(23,1)}
       5:{2,3,4,6}:{(3,1),(11,1),(12,1),(29,1),(33,1)}
       6:{1,2,4}:{(2,1),(12,1)}
       7:{1,2,5}:{(3,1),(4,1),(11,1)}
       8:{1,4,5}:{(4,1),(15,1),(16,1)}
       9:{1,3,5,6}:{(4,1),(14,1),(16,1),(17,1),(33,1)}
      10:{1,4,5,6}:{(16,1),(17,1)}
      11:{2,3,5}:{(5,1),(7,1),(18,1),(23,1)}
      12:{3,4}:{(6,1),(23,1)}
      13:{1,2,4,5}:{(6,1),(7,1),(8,1),(18,1),(23,1),(24,1),(25,1),(36,1),(38,1)}
      14:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(27,1),(44,1)}
      15:{3,4,5}:{(8,1),(23,1),(25,1),(26,1)}
      16:{1,4,6}:{(8,1),(9,1),(26,1)}
      17:{3,5,6}:{(10,1),(26,1),(27,1)}
      18:{2,4,5}:{(11,1),(28,1),(29,1)}
      19:{2,3,5,6}:{(11,1),(14,1),(29,1),(33,1),(41,1)}
      20:{1,2,3}:{(30,1)}
      21:{2,3,4}:{(12,1),(30,1),(31,1)}
      22:{1,3,4}:{(12,1),(30,1),(32,1)}
      23:{3,5}:{(12,1),(13,1),(33,1)}
      24:{1,2,4,6}:{(13,1),(14,1),(16,1),(29,1),(33,1),(34,1),(42,1),(43,1)}
      25:{2,4,5}:{(15,1),(31,1),(34,1)}
      26:{3,4,6}:{(15,1),(16,1),(17,1),(33,1),(34,1)}
      27:{2,5,6}:{(17,1),(34,1)}
      28:{3,4,5}:{(18,1),(23,1),(36,1),(37,1)}
      29:{2,4,6}:{(18,1),(19,1),(37,1)}
      30:{1,2,4}:{(20,1),(21,1),(22,1),(38,1)}
      31:{2,3,5}:{(21,1),(23,1),(25,1),(38,1),(39,1)}
      32:{1,3,5}:{(22,1),(23,1),(36,1),(38,1),(40,1)}
      33:{3,6}:{(23,1),(24,1)}
      34:{2,4,6}:{(25,1),(26,1),(27,1),(39,1)}
      35:{2,4,5,6}:{(29,1),(41,1)}
      36:{1,4,5}:{(28,1),(32,1),(42,1)}
      37:{3,4,6}:{(28,1),(29,1),(33,1),(41,1),(42,1)}
      38:{1,2,5}:{(30,1),(31,1),(32,1),(43,1)}
      39:{2,3,6}:{(31,1),(33,1),(34,1),(43,1)}
      40:{1,3,6}:{(32,1),(33,1),(42,1),(43,1)}
      41:{3,5,6}:{(35,1),(37,1),(44,1)}
      42:{1,4,6}:{(36,1),(37,1),(40,1),(44,1)}
      43:{1,2,6}:{(38,1),(39,1),(40,1)}
      44:{1,5,6}:{(41,1),(42,1)}

470 :  0:{1,4,5,6}:{(3,1),(16,1)}
       1:{1,3,4,6}:{(4,1),(5,1),(16,1),(30,1),(31,1),(37,1)}
       2:{3,4,5}:{(7,1),(8,1),(9,1),(25,1)}
       3:{3,5,6}:{(0,1),(7,1),(11,1)}
       4:{1,3,5}:{(1,1),(8,1),(12,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(12,1),(13,1),(27,1)}
       6:{2,3,4}:{(14,1),(15,1),(31,1)}
       7:{3,4,6}:{(2,1),(3,1),(16,1),(17,1),(30,1)}
       8:{1,4,5}:{(2,1),(4,1),(16,1)}
       9:{2,4,5}:{(2,1),(14,1),(17,1)}
      10:{1,3,5,6}:{(3,1),(4,1),(16,1),(19,1),(30,1)}
      11:{2,5,6}:{(3,1),(17,1)}
      12:{1,2,5}:{(4,1),(5,1),(20,1)}
      13:{2,3,6}:{(5,1),(20,1),(30,1)}
      14:{2,3,5}:{(6,1),(9,1),(21,1),(22,1),(25,1)}
      15:{1,2,4}:{(6,1),(22,1),(23,1),(34,1)}
      16:{1,4,6}:{(7,1),(8,1),(10,1)}
      17:{2,4,6}:{(7,1),(9,1),(11,1),(21,1)}
      18:{1,2,4,5}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(27,1),(34,1),(36,1),(39,1)}
      19:{1,2,5,6}:{(10,1),(11,1),(12,1),(24,1),(26,1),(39,1)}
      20:{2,3,5}:{(12,1),(13,1),(25,1),(27,1)}
      21:{2,3,6}:{(14,1),(17,1),(28,1),(30,1)}
      22:{1,2,5}:{(14,1),(15,1),(28,1),(29,1)}
      23:{1,3}:{(15,1)}
      24:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(28,1),(30,1),(32,1),(37,1)}
      25:{3,5}:{(18,1),(30,1),(31,1)}
      26:{2,3,5,6}:{(19,1),(20,1),(30,1),(32,1),(38,1)}
      27:{2,4}:{(20,1),(31,1)}
      28:{1,2,6}:{(21,1),(22,1),(33,1)}
      29:{1,3,5}:{(22,1),(23,1),(25,1),(33,1),(34,1),(39,1)}
      30:{3,6}:{(24,1),(25,1)}
      31:{3,4}:{(25,1),(27,1),(34,1)}
      32:{2,4,6}:{(26,1),(27,1),(35,1),(36,1)}
      33:{1,3,6}:{(28,1),(29,1),(30,1),(37,1)}
      34:{1,4}:{(29,1),(31,1)}
      35:{3,4,6}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{2,4,5}:{(32,1),(38,1)}
      37:{1,4,6}:{(33,1),(34,1),(35,1),(39,1)}
      38:{3,5}:{(35,1),(36,1),(39,1)}
      39:{1,5}:{(37,1),(38,1)}

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

472 :  0:{1,2,3,5,6}:{(1,1),(4,1),(7,1),(19,1),(20,1),(21,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(24,1),(25,1)}
       2:{3,4,6}:{(1,1),(7,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(16,1),(17,1),(19,1)}
       4:{1,2,3,6}:{(9,1),(11,1),(29,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(22,1),(24,1),(29,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(13,1),(22,1),(25,1),(29,1)}
       7:{3,5}:{(2,1),(3,1)}
       8:{1,2,4,5,6}:{(3,1),(14,1),(24,1),(25,1),(26,1)}
       9:{1,2,3,5}:{(4,1),(15,1),(19,1),(27,1)}
      10:{3,4,5}:{(7,1),(16,1),(17,1),(18,1),(27,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(6,1),(15,1),(19,1)}
      12:{2,3,5}:{(5,1),(7,1),(16,1),(19,1),(27,1)}
      13:{1,3,5}:{(6,1),(7,1),(17,1),(19,1),(27,1)}
      14:{3,5,6}:{(7,1),(8,1),(18,1)}
      15:{1,2,4}:{(9,1),(22,1)}
      16:{2,4,5}:{(10,1),(12,1),(24,1)}
      17:{1,4,5}:{(10,1),(13,1),(25,1)}
      18:{3,4,6}:{(10,1),(14,1),(24,1),(25,1),(29,1)}
      19:{1,2,5}:{(11,1),(12,1),(13,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(29,1)}
      21:{1,3,5,6}:{(13,1),(14,1),(25,1),(26,1),(29,1)}
      22:{3,4}:{(15,1),(27,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(17,1),(19,1),(27,1),(28,1)}
      24:{2,4,6}:{(16,1),(18,1),(20,1)}
      25:{1,4,6}:{(17,1),(18,1),(21,1)}
      26:{1,2,5,6}:{(19,1),(20,1),(21,1),(28,1)}
      27:{3,5}:{(22,1),(23,1),(29,1)}
      28:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(29,1)}
      29:{3,6}:{(27,1),(28,1)}

473 :  0:{2,3,4,6}:{(4,1),(5,1),(8,1),(22,1),(23,1),(31,1)}
       1:{1,3,5,6}:{(6,1),(7,1),(18,1),(20,1),(22,1)}
       2:{2,3,5,6}:{(5,1),(6,1),(8,1),(9,1),(22,1)}
       3:{2,4,5,6}:{(8,1),(9,1)}
       4:{1,2,4,6}:{(0,1),(10,1),(11,1),(25,1)}
       5:{2,3,5}:{(0,1),(11,1),(13,1),(26,1),(27,1)}
       6:{1,2,5,6}:{(1,1),(2,1),(11,1),(14,1),(17,1),(27,1)}
       7:{1,4,6}:{(1,1),(12,1),(15,1),(25,1)}
       8:{2,4,6}:{(2,1),(13,1),(16,1)}
       9:{3,5,6}:{(3,1),(16,1),(17,1)}
      10:{1,3,6}:{(4,1),(18,1),(22,1)}
      11:{1,2,5}:{(4,1),(5,1),(18,1)}
      12:{1,4,5}:{(7,1),(20,1)}
      13:{2,4,5}:{(5,1),(8,1),(21,1)}
      14:{1,2,4,6}:{(6,1),(7,1),(8,1),(19,1),(22,1),(23,1),(24,1),(34,1)}
      15:{3,4,6}:{(7,1),(20,1),(22,1),(23,1),(31,1)}
      16:{3,4,6}:{(8,1),(9,1),(21,1),(22,1),(24,1)}
      17:{1,5,6}:{(9,1),(24,1)}
      18:{1,3,5}:{(10,1),(11,1),(25,1),(26,1)}
      19:{1,2,4,5}:{(11,1),(12,1),(13,1),(14,1),(25,1),(26,1),(27,1),(28,1),(36,1),(37,1)}
      20:{3,5}:{(12,1),(15,1),(27,1)}
      21:{3,4,5}:{(13,1),(16,1),(26,1),(28,1)}
      22:{3,6}:{(14,1),(26,1)}
      23:{2,4,6}:{(15,1),(27,1),(30,1),(36,1)}
      24:{1,4,6}:{(16,1),(17,1),(28,1),(29,1)}
      25:{1,4}:{(18,1),(31,1)}
      26:{3,5}:{(19,1),(22,1),(31,1)}
      27:{2,5}:{(20,1),(23,1)}
      28:{1,4,5}:{(21,1),(24,1),(32,1)}
      29:{1,3,6}:{(22,1),(24,1),(32,1),(34,1)}
      30:{2,3,6}:{(22,1),(23,1),(33,1),(34,1)}
      31:{3,4}:{(25,1),(26,1),(36,1)}
      32:{1,3,5}:{(26,1),(28,1),(29,1),(35,1),(37,1)}
      33:{2,3,5}:{(26,1),(27,1),(30,1),(36,1),(37,1),(39,1)}
      34:{1,2,6}:{(29,1),(30,1),(37,1)}
      35:{1,3,4}:{(31,1),(32,1),(38,1)}
      36:{2,4}:{(31,1),(33,1)}
      37:{1,2,5}:{(32,1),(33,1),(34,1),(38,1)}
      38:{1,2,4}:{(35,1),(36,1),(37,1),(39,1)}
      39:{2,3}:{(38,1)}

474 :  0:{1,2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(20,1)}
       1:{3,5,6}:{(0,1),(2,1),(25,1)}
       2:{3,4,6}:{(1,1),(6,1),(7,1),(8,1),(21,1),(28,1)}
       3:{1,3,5,6}:{(1,1),(7,1),(9,1),(18,1),(21,1),(22,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1),(21,1),(27,1)}
       5:{2,3,4,6}:{(8,1),(10,1),(11,1),(21,1),(28,1)}
       6:{3,4,5}:{(2,1),(13,1),(14,1),(25,1)}
       7:{1,4,6}:{(2,1),(3,1),(13,1),(26,1)}
       8:{2,4,6}:{(2,1),(4,1),(14,1),(29,1)}
       9:{1,2,5,6}:{(3,1),(4,1),(15,1),(16,1),(23,1)}
      10:{2,3,5}:{(5,1),(14,1),(16,1),(25,1)}
      11:{1,2,4,6}:{(5,1),(16,1),(17,1),(26,1)}
      12:{1,3,4,6}:{(7,1),(18,1),(19,1),(21,1),(28,1)}
      13:{1,4,5}:{(6,1),(7,1),(18,1)}
      14:{2,4,5}:{(6,1),(8,1),(10,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(9,1),(20,1),(21,1)}
      16:{1,2,5}:{(10,1),(11,1),(22,1)}
      17:{1,3,6}:{(11,1),(21,1),(22,1)}
      18:{1,3,5}:{(12,1),(13,1),(23,1),(25,1)}
      19:{1,2,4,6}:{(12,1),(23,1),(24,1),(29,1)}
      20:{1,2,4,5}:{(13,1),(14,1),(15,1),(16,1),(23,1),(25,1),(26,1),(29,1)}
      21:{3,6}:{(15,1),(25,1)}
      22:{1,3,5}:{(16,1),(17,1),(25,1),(26,1)}
      23:{1,2,5}:{(18,1),(19,1),(27,1)}
      24:{2,3,6}:{(19,1),(21,1),(27,1)}
      25:{3,5}:{(20,1),(21,1),(28,1)}
      26:{1,4}:{(22,1),(28,1)}
      27:{2,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{3,4}:{(25,1),(26,1),(29,1)}
      29:{2,4}:{(27,1),(28,1)}

475 :  0:{1,2,3,6}:{(3,1),(4,1),(33,1),(44,1)}
       1:{2,3,4,6}:{(3,1),(5,1),(16,1),(17,1),(33,1)}
       2:{1,3,4,6}:{(3,1),(6,1),(16,1),(19,1),(33,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       4:{1,2,3,5}:{(0,1),(7,1),(8,1),(24,1),(42,1),(43,1)}
       5:{2,3,5}:{(1,1),(7,1),(10,1),(24,1)}
       6:{1,3,5}:{(2,1),(7,1),(12,1),(24,1)}
       7:{1,2,5}:{(3,1),(5,1),(6,1)}
       8:{1,2,4}:{(4,1),(16,1)}
       9:{2,3,5,6}:{(5,1),(14,1),(17,1),(21,1),(33,1)}
      10:{2,4,5}:{(5,1),(17,1),(18,1)}
      11:{1,3,5,6}:{(6,1),(14,1),(19,1),(32,1),(33,1)}
      12:{1,4,5}:{(6,1),(19,1),(20,1)}
      13:{2,4,5,6}:{(17,1),(21,1)}
      14:{1,2,5,6}:{(7,1),(9,1),(11,1),(23,1),(31,1),(39,1)}
      15:{1,2,4,5}:{(7,1),(8,1),(10,1),(12,1),(23,1),(24,1),(28,1),(30,1),(42,1)}
      16:{3,4}:{(8,1),(24,1)}
      17:{2,4,6}:{(9,1),(10,1),(27,1)}
      18:{3,4,5}:{(10,1),(24,1),(27,1),(28,1)}
      19:{1,4,6}:{(11,1),(12,1),(29,1)}
      20:{3,4,5}:{(12,1),(24,1),(29,1),(30,1)}
      21:{3,5,6}:{(13,1),(27,1),(31,1)}
      22:{1,4,5,6}:{(19,1),(32,1)}
      23:{1,2,4,6}:{(14,1),(15,1),(17,1),(19,1),(33,1),(37,1),(38,1),(44,1)}
      24:{3,5}:{(15,1),(16,1),(33,1)}
      25:{1,3,4}:{(16,1),(34,1),(36,1)}
      26:{2,3,4}:{(16,1),(35,1),(36,1)}
      27:{3,4,6}:{(17,1),(18,1),(21,1),(33,1),(37,1)}
      28:{1,4,5}:{(18,1),(34,1),(37,1)}
      29:{3,4,6}:{(19,1),(20,1),(32,1),(33,1),(38,1)}
      30:{2,4,5}:{(20,1),(35,1),(38,1)}
      31:{1,5,6}:{(21,1),(37,1)}
      32:{3,5,6}:{(22,1),(29,1),(39,1)}
      33:{3,6}:{(23,1),(24,1)}
      34:{1,3,5}:{(24,1),(25,1),(28,1),(40,1),(42,1)}
      35:{2,3,5}:{(24,1),(26,1),(30,1),(41,1),(42,1)}
      36:{1,2,4}:{(25,1),(26,1),(42,1),(43,1)}
      37:{1,4,6}:{(27,1),(28,1),(31,1),(40,1)}
      38:{2,4,6}:{(29,1),(30,1),(39,1),(41,1)}
      39:{2,5,6}:{(32,1),(38,1)}
      40:{1,3,6}:{(33,1),(34,1),(37,1),(44,1)}
      41:{2,3,6}:{(33,1),(35,1),(38,1),(44,1)}
      42:{1,2,5}:{(34,1),(35,1),(36,1),(44,1)}
      43:{1,2,3}:{(36,1)}
      44:{1,2,6}:{(40,1),(41,1),(42,1)}

476 :  0:{1,2,3,6}:{(2,1),(3,1),(33,1),(43,1)}
       1:{2,3,4,6}:{(3,1),(4,1),(12,1),(16,1),(33,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1),(20,1),(23,1),(38,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(5,1),(6,1),(7,1)}
       4:{2,3,5}:{(1,1),(7,1),(8,1),(23,1)}
       5:{1,3,4,6}:{(3,1),(11,1),(12,1),(29,1),(33,1)}
       6:{1,2,4}:{(2,1),(12,1)}
       7:{1,2,5}:{(3,1),(4,1),(11,1)}
       8:{2,4,5}:{(4,1),(15,1),(16,1)}
       9:{2,3,5,6}:{(4,1),(14,1),(16,1),(17,1),(33,1)}
      10:{2,4,5,6}:{(16,1),(17,1)}
      11:{1,3,5}:{(5,1),(7,1),(18,1),(23,1)}
      12:{3,4}:{(6,1),(23,1)}
      13:{1,2,4,5}:{(6,1),(7,1),(8,1),(18,1),(23,1),(24,1),(25,1),(36,1),(38,1)}
      14:{1,2,5,6}:{(7,1),(9,1),(19,1),(24,1),(27,1),(44,1)}
      15:{3,4,5}:{(8,1),(23,1),(25,1),(26,1)}
      16:{2,4,6}:{(8,1),(9,1),(26,1)}
      17:{3,5,6}:{(10,1),(26,1),(27,1)}
      18:{1,4,5}:{(11,1),(28,1),(29,1)}
      19:{1,3,5,6}:{(11,1),(14,1),(29,1),(33,1),(41,1)}
      20:{1,2,3}:{(30,1)}
      21:{2,3,4}:{(12,1),(30,1),(31,1)}
      22:{1,3,4}:{(12,1),(30,1),(32,1)}
      23:{3,5}:{(12,1),(13,1),(33,1)}
      24:{1,2,4,6}:{(13,1),(14,1),(16,1),(29,1),(33,1),(34,1),(42,1),(43,1)}
      25:{1,4,5}:{(15,1),(32,1),(34,1)}
      26:{3,4,6}:{(15,1),(16,1),(17,1),(33,1),(34,1)}
      27:{1,5,6}:{(17,1),(34,1)}
      28:{3,4,5}:{(18,1),(23,1),(36,1),(37,1)}
      29:{1,4,6}:{(18,1),(19,1),(37,1)}
      30:{1,2,4}:{(20,1),(21,1),(22,1),(38,1)}
      31:{2,3,5}:{(21,1),(23,1),(36,1),(38,1),(39,1)}
      32:{1,3,5}:{(22,1),(23,1),(25,1),(38,1),(40,1)}
      33:{3,6}:{(23,1),(24,1)}
      34:{1,4,6}:{(25,1),(26,1),(27,1),(40,1)}
      35:{1,4,5,6}:{(29,1),(41,1)}
      36:{2,4,5}:{(28,1),(31,1),(42,1)}
      37:{3,4,6}:{(28,1),(29,1),(33,1),(41,1),(42,1)}
      38:{1,2,5}:{(30,1),(31,1),(32,1),(43,1)}
      39:{2,3,6}:{(31,1),(33,1),(42,1),(43,1)}
      40:{1,3,6}:{(32,1),(33,1),(34,1),(43,1)}
      41:{3,5,6}:{(35,1),(37,1),(44,1)}
      42:{2,4,6}:{(36,1),(37,1),(39,1),(44,1)}
      43:{1,2,6}:{(38,1),(39,1),(40,1)}
      44:{2,5,6}:{(41,1),(42,1)}

477 :  0:{2,4,5,6}:{(3,1),(17,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(17,1),(30,1),(31,1),(37,1)}
       2:{3,4,5}:{(7,1),(8,1),(9,1),(25,1)}
       3:{3,5,6}:{(0,1),(7,1),(10,1)}
       4:{2,3,5}:{(1,1),(9,1),(12,1),(25,1),(39,1)}
       5:{1,2,4,6}:{(1,1),(12,1),(13,1),(27,1)}
       6:{1,3,4}:{(14,1),(15,1),(31,1)}
       7:{3,4,6}:{(2,1),(3,1),(16,1),(17,1),(30,1)}
       8:{1,4,5}:{(2,1),(14,1),(16,1)}
       9:{2,4,5}:{(2,1),(4,1),(17,1)}
      10:{1,5,6}:{(3,1),(16,1)}
      11:{2,3,5,6}:{(3,1),(4,1),(17,1),(19,1),(30,1)}
      12:{1,2,5}:{(4,1),(5,1),(20,1)}
      13:{1,3,6}:{(5,1),(20,1),(30,1)}
      14:{1,3,5}:{(6,1),(8,1),(21,1),(22,1),(25,1)}
      15:{1,2,4}:{(6,1),(22,1),(23,1),(34,1)}
      16:{1,4,6}:{(7,1),(8,1),(10,1),(21,1)}
      17:{2,4,6}:{(7,1),(9,1),(11,1)}
      18:{1,2,4,5}:{(8,1),(9,1),(12,1),(22,1),(24,1),(25,1),(27,1),(34,1),(36,1),(39,1)}
      19:{1,2,5,6}:{(10,1),(11,1),(12,1),(24,1),(26,1),(39,1)}
      20:{1,3,5}:{(12,1),(13,1),(25,1),(27,1)}
      21:{1,3,6}:{(14,1),(16,1),(28,1),(30,1)}
      22:{1,2,5}:{(14,1),(15,1),(28,1),(29,1)}
      23:{2,3}:{(15,1)}
      24:{1,2,4,6}:{(16,1),(17,1),(18,1),(19,1),(28,1),(30,1),(32,1),(37,1)}
      25:{3,5}:{(18,1),(30,1),(31,1)}
      26:{1,3,5,6}:{(19,1),(20,1),(30,1),(32,1),(38,1)}
      27:{1,4}:{(20,1),(31,1)}
      28:{1,2,6}:{(21,1),(22,1),(33,1)}
      29:{2,3,5}:{(22,1),(23,1),(25,1),(33,1),(34,1),(39,1)}
      30:{3,6}:{(24,1),(25,1)}
      31:{3,4}:{(25,1),(27,1),(34,1)}
      32:{1,4,6}:{(26,1),(27,1),(35,1),(36,1)}
      33:{2,3,6}:{(28,1),(29,1),(30,1),(37,1)}
      34:{2,4}:{(29,1),(31,1)}
      35:{3,4,6}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{1,4,5}:{(32,1),(38,1)}
      37:{2,4,6}:{(33,1),(34,1),(35,1),(39,1)}
      38:{3,5}:{(35,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

478 : 0:{2,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{1,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{1,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{1,3,4,5}:{(4,1),(8,1)}
      7:{2,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{2,3,5}:{(7,1),(8,1)}

479 :  0:{1,3,4,5}:{(1,1),(2,1),(32,1),(59,1),(68,1)}
       1:{1,3,4,6}:{(0,1),(5,1),(6,1),(54,1)}
       2:{1,2,4,5}:{(0,1),(6,1),(7,1),(23,1),(52,1),(55,1)}
       3:{2,3,4,5}:{(8,1),(9,1),(15,1),(42,1),(79,1)}
       4:{3,4,5,6}:{(11,1),(12,1),(40,1),(79,1)}
       5:{1,3,5,6}:{(1,1),(11,1),(13,1),(40,1),(59,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(13,1),(14,1),(41,1)}
       7:{2,3,5}:{(2,1),(14,1),(15,1)}
       8:{2,3,4,6}:{(3,1),(17,1),(18,1),(70,1)}
       9:{1,2,4,5}:{(3,1),(18,1),(19,1),(23,1),(52,1),(71,1)}
      10:{1,2,3,5}:{(7,1),(19,1),(22,1),(23,1),(52,1)}
      11:{1,4,5,6}:{(4,1),(5,1),(71,1)}
      12:{2,4,5,6}:{(4,1),(24,1),(83,1)}
      13:{1,2,5,6}:{(5,1),(6,1),(26,1),(52,1)}
      14:{2,3,6}:{(6,1),(7,1)}
      15:{2,3,4}:{(7,1),(23,1)}
      16:{3,4,5,6}:{(28,1),(29,1),(57,1),(68,1)}
      17:{2,3,5,6}:{(8,1),(29,1),(30,1),(42,1),(57,1)}
      18:{1,2,4,6}:{(8,1),(9,1),(30,1),(31,1),(58,1)}
      19:{1,3,5}:{(9,1),(31,1),(32,1)}
      20:{2,3,4,5}:{(33,1),(34,1),(64,1),(68,1),(82,1)}
      21:{1,3,4,5}:{(35,1),(36,1),(62,1),(79,1),(81,1)}
      22:{1,2,3,6}:{(10,1),(14,1),(31,1),(38,1)}
      23:{1,2,4}:{(10,1),(15,1),(32,1)}
      24:{2,3,5,6}:{(12,1),(33,1),(39,1),(40,1),(82,1)}
      25:{1,2,4,5,6}:{(11,1),(12,1),(13,1),(39,1),(40,1),(41,1),(66,1),(67,1)}
      26:{2,3,5,6}:{(13,1),(14,1),(40,1),(41,1),(42,1)}
      27:{2,3,4,6}:{(14,1),(15,1),(38,1),(41,1),(42,1),(65,1)}
      28:{1,4,5,6}:{(16,1),(43,1),(77,1)}
      29:{2,4,5,6}:{(16,1),(17,1),(55,1)}
      30:{1,2,5,6}:{(17,1),(18,1),(45,1),(52,1)}
      31:{1,3,6}:{(18,1),(19,1)}
      32:{1,3,4}:{(19,1),(23,1)}
      33:{2,3,4,6}:{(20,1),(24,1),(47,1),(54,1)}
      34:{1,2,4,5}:{(20,1),(47,1),(48,1),(73,1),(77,1),(84,1)}
      35:{1,3,4,6}:{(21,1),(43,1),(49,1),(70,1)}
      36:{1,2,4,5}:{(21,1),(49,1),(50,1),(73,1),(83,1),(84,1)}
      37:{1,2,3,5,6}:{(22,1),(26,1),(45,1),(51,1),(52,1),(53,1),(69,1),(72,1),(76,1),(84,1)}
      38:{1,2,4,6}:{(22,1),(23,1),(27,1),(46,1),(52,1)}
      39:{1,2,5,6}:{(24,1),(47,1),(53,1),(84,1)}
      40:{3,5,6}:{(25,1),(54,1),(76,1)}
      41:{2,4,6}:{(26,1),(54,1),(55,1)}
      42:{2,3,5}:{(27,1),(52,1),(55,1),(76,1)}
      43:{1,3,5,6}:{(28,1),(35,1),(56,1),(57,1),(81,1)}
      44:{1,2,4,5,6}:{(28,1),(29,1),(30,1),(56,1),(57,1),(58,1),(66,1),(78,1)}
      45:{1,3,5,6}:{(30,1),(31,1),(57,1),(58,1),(59,1)}
      46:{1,3,4,6}:{(31,1),(32,1),(38,1),(58,1),(59,1),(65,1)}
      47:{1,2,4,6}:{(33,1),(34,1),(39,1),(61,1),(67,1)}
      48:{1,3,5}:{(34,1),(61,1),(62,1)}
      49:{1,2,4,6}:{(35,1),(36,1),(56,1),(63,1),(78,1)}
      50:{2,3,5}:{(36,1),(63,1),(64,1)}
      51:{1,2,4,6}:{(37,1),(41,1),(58,1),(65,1),(66,1),(67,1),(78,1)}
      52:{1,2,5}:{(38,1),(42,1),(59,1)}
      53:{1,3,5,6}:{(39,1),(40,1),(61,1),(67,1),(81,1)}
      54:{3,4,6}:{(40,1),(41,1),(67,1),(68,1)}
      55:{2,4,5}:{(41,1),(42,1),(68,1)}
      56:{1,2,5,6}:{(43,1),(49,1),(69,1),(84,1)}
      57:{3,5,6}:{(44,1),(70,1),(76,1)}
      58:{1,4,6}:{(45,1),(70,1),(71,1)}
      59:{1,3,5}:{(46,1),(52,1),(71,1),(76,1)}
      60:{1,2,3,5}:{(48,1),(50,1),(72,1),(73,1),(84,1)}
      61:{1,3,6}:{(47,1),(48,1)}
      62:{1,3,4}:{(48,1),(73,1)}
      63:{2,3,6}:{(49,1),(50,1)}
      64:{2,3,4}:{(50,1),(73,1)}
      65:{3,4,6}:{(51,1),(76,1)}
      66:{1,2,4,5}:{(51,1),(52,1),(55,1),(71,1),(76,1),(77,1),(83,1),(84,1)}
      67:{1,4,6}:{(53,1),(54,1),(77,1)}
      68:{3,4,5}:{(54,1),(55,1),(76,1),(77,1)}
      69:{2,3,5,6}:{(56,1),(57,1),(63,1),(78,1),(82,1)}
      70:{3,4,6}:{(57,1),(58,1),(78,1),(79,1)}
      71:{1,4,5}:{(58,1),(59,1),(79,1)}
      72:{1,2,3,6}:{(60,1),(61,1),(63,1),(80,1)}
      73:{1,2,4}:{(60,1),(62,1),(64,1)}
      74:{1,3,4,6}:{(61,1),(62,1),(65,1),(67,1),(80,1),(81,1)}
      75:{2,3,4,6}:{(63,1),(64,1),(65,1),(78,1),(80,1),(82,1)}
      76:{3,5}:{(65,1),(66,1)}
      77:{1,4,5}:{(67,1),(68,1),(81,1)}
      78:{2,4,6}:{(69,1),(70,1),(83,1)}
      79:{3,4,5}:{(70,1),(71,1),(76,1),(83,1)}
      80:{1,2,4,6}:{(72,1),(73,1),(74,1),(75,1),(84,1)}
      81:{1,3,5}:{(74,1),(76,1),(77,1),(84,1)}
      82:{2,3,5}:{(75,1),(76,1),(83,1),(84,1)}
      83:{2,4,5}:{(78,1),(79,1),(82,1)}
      84:{1,2,5}:{(80,1),(81,1),(82,1)}

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

481 :  0:{1,2,3,5,6}:{(1,1),(4,1),(7,1),(19,1),(20,1),(21,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(24,1),(25,1)}
       2:{3,4,6}:{(1,1),(7,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(16,1),(17,1),(19,1)}
       4:{1,2,3,6}:{(9,1),(11,1),(29,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(22,1),(24,1),(29,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(13,1),(22,1),(25,1),(29,1)}
       7:{3,5}:{(2,1),(3,1)}
       8:{1,2,4,5,6}:{(3,1),(14,1),(24,1),(25,1),(26,1)}
       9:{1,2,3,5}:{(4,1),(15,1),(19,1),(27,1)}
      10:{3,4,5}:{(7,1),(16,1),(17,1),(18,1),(27,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(6,1),(15,1),(19,1)}
      12:{2,3,5}:{(5,1),(7,1),(16,1),(19,1),(27,1)}
      13:{1,3,5}:{(6,1),(7,1),(17,1),(19,1),(27,1)}
      14:{3,5,6}:{(7,1),(8,1),(18,1)}
      15:{1,2,4}:{(9,1),(22,1)}
      16:{2,4,5}:{(10,1),(12,1),(24,1)}
      17:{1,4,5}:{(10,1),(13,1),(25,1)}
      18:{3,4,6}:{(10,1),(14,1),(24,1),(25,1),(29,1)}
      19:{1,2,5}:{(11,1),(12,1),(13,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(29,1)}
      21:{1,3,5,6}:{(13,1),(14,1),(25,1),(26,1),(29,1)}
      22:{3,4}:{(15,1),(27,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(17,1),(19,1),(27,1),(28,1)}
      24:{2,4,6}:{(16,1),(18,1),(20,1)}
      25:{1,4,6}:{(17,1),(18,1),(21,1)}
      26:{1,2,5,6}:{(19,1),(20,1),(21,1),(28,1)}
      27:{3,5}:{(22,1),(23,1),(29,1)}
      28:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(29,1)}
      29:{3,6}:{(27,1),(28,1)}

482 : 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:{3,4,5}:{(2,1),(6,1)}
      5:{1,2,4,6}:{(2,1),(3,1),(6,1),(7,1)}
      6:{3,4,6}:{(4,1),(5,1),(8,1)}
      7:{1,2,5,6}:{(5,1),(8,1)}
      8:{3,5,6}:{(6,1),(7,1),(9,1)}
      9:{4,5,6}:{(8,1)}

483 :  0:{1,2,3,6}:{(3,1),(4,1),(36,1),(44,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(13,1),(17,1),(36,1)}
       2:{1,3,4,6}:{(4,1),(6,1),(13,1),(19,1),(36,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(22,1),(25,1),(41,1)}
       4:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       5:{2,3,5}:{(1,1),(8,1),(9,1),(25,1)}
       6:{1,3,5}:{(2,1),(8,1),(11,1),(25,1)}
       7:{1,2,4}:{(3,1),(13,1)}
       8:{1,2,5}:{(4,1),(5,1),(6,1)}
       9:{2,4,5}:{(5,1),(16,1),(17,1)}
      10:{2,3,5,6}:{(5,1),(15,1),(17,1),(31,1),(36,1)}
      11:{1,4,5}:{(6,1),(18,1),(19,1)}
      12:{1,3,5,6}:{(6,1),(15,1),(19,1),(32,1),(36,1)}
      13:{3,4}:{(7,1),(25,1)}
      14:{1,2,4,5}:{(7,1),(8,1),(9,1),(11,1),(25,1),(26,1),(27,1),(29,1),(41,1)}
      15:{1,2,5,6}:{(8,1),(10,1),(12,1),(26,1),(39,1),(40,1)}
      16:{3,4,5}:{(9,1),(25,1),(27,1),(28,1)}
      17:{2,4,6}:{(9,1),(10,1),(28,1)}
      18:{3,4,5}:{(11,1),(25,1),(29,1),(30,1)}
      19:{1,4,6}:{(11,1),(12,1),(30,1)}
      20:{2,4,5,6}:{(17,1),(31,1)}
      21:{1,4,5,6}:{(19,1),(32,1)}
      22:{1,2,3}:{(33,1)}
      23:{2,3,4}:{(13,1),(33,1),(34,1)}
      24:{1,3,4}:{(13,1),(33,1),(35,1)}
      25:{3,5}:{(13,1),(14,1),(36,1)}
      26:{1,2,4,6}:{(14,1),(15,1),(17,1),(19,1),(36,1),(37,1),(38,1),(44,1)}
      27:{1,4,5}:{(16,1),(35,1),(37,1)}
      28:{3,4,6}:{(16,1),(17,1),(31,1),(36,1),(37,1)}
      29:{2,4,5}:{(18,1),(34,1),(38,1)}
      30:{3,4,6}:{(18,1),(19,1),(32,1),(36,1),(38,1)}
      31:{3,5,6}:{(20,1),(28,1),(39,1)}
      32:{3,5,6}:{(21,1),(30,1),(40,1)}
      33:{1,2,4}:{(22,1),(23,1),(24,1),(41,1)}
      34:{2,3,5}:{(23,1),(25,1),(29,1),(41,1),(42,1)}
      35:{1,3,5}:{(24,1),(25,1),(27,1),(41,1),(43,1)}
      36:{3,6}:{(25,1),(26,1)}
      37:{1,4,6}:{(27,1),(28,1),(39,1),(43,1)}
      38:{2,4,6}:{(29,1),(30,1),(40,1),(42,1)}
      39:{1,5,6}:{(31,1),(37,1)}
      40:{2,5,6}:{(32,1),(38,1)}
      41:{1,2,5}:{(33,1),(34,1),(35,1),(44,1)}
      42:{2,3,6}:{(34,1),(36,1),(38,1),(44,1)}
      43:{1,3,6}:{(35,1),(36,1),(37,1),(44,1)}
      44:{1,2,6}:{(41,1),(42,1),(43,1)}

484 :  0:{1,2,3,6}:{(3,1),(5,1),(34,1),(36,1)}
       1:{2,3,4,6}:{(5,1),(6,1),(20,1),(22,1),(36,1)}
       2:{2,4,5,6}:{(7,1),(22,1)}
       3:{1,2,3,5}:{(0,1),(8,1),(10,1),(15,1),(27,1),(29,1)}
       4:{3,4,5}:{(11,1),(12,1),(13,1),(29,1)}
       5:{1,2,4,6}:{(0,1),(1,1),(10,1),(14,1),(15,1)}
       6:{2,3,5}:{(1,1),(11,1),(15,1),(29,1)}
       7:{3,5,6}:{(2,1),(13,1),(17,1)}
       8:{1,2,3}:{(18,1)}
       9:{1,3,4}:{(18,1),(19,1),(20,1)}
      10:{1,2,4}:{(3,1),(20,1)}
      11:{2,4,5}:{(4,1),(6,1),(22,1)}
      12:{1,4,5}:{(4,1),(19,1),(23,1)}
      13:{3,4,6}:{(4,1),(7,1),(22,1),(23,1),(36,1)}
      14:{1,3,4,6}:{(5,1),(20,1),(24,1),(36,1),(37,1)}
      15:{1,2,5}:{(5,1),(6,1),(24,1)}
      16:{2,3,5,6}:{(6,1),(7,1),(22,1),(25,1),(36,1)}
      17:{1,5,6}:{(7,1),(23,1)}
      18:{1,2,4}:{(8,1),(9,1),(26,1),(27,1)}
      19:{1,3,5}:{(9,1),(12,1),(27,1),(28,1),(29,1)}
      20:{3,4}:{(10,1),(29,1)}
      21:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(27,1),(29,1),(30,1),(31,1),(38,1)}
      22:{2,4,6}:{(11,1),(13,1),(16,1)}
      23:{1,4,6}:{(12,1),(13,1),(17,1),(28,1)}
      24:{1,3,5}:{(14,1),(15,1),(29,1),(31,1)}
      25:{1,2,5,6}:{(15,1),(16,1),(17,1),(30,1),(32,1),(44,1)}
      26:{2,3,4}:{(18,1),(20,1),(33,1)}
      27:{1,2,5}:{(18,1),(19,1),(33,1),(34,1)}
      28:{1,3,6}:{(19,1),(23,1),(34,1),(36,1)}
      29:{3,5}:{(20,1),(21,1),(36,1)}
      30:{1,2,4,6}:{(21,1),(22,1),(23,1),(25,1),(34,1),(36,1),(37,1),(42,1)}
      31:{1,4,5}:{(24,1),(35,1),(37,1)}
      32:{1,3,5,6}:{(24,1),(25,1),(36,1),(37,1),(43,1)}
      33:{2,3,5}:{(26,1),(27,1),(29,1),(38,1),(39,1)}
      34:{1,2,6}:{(27,1),(28,1),(39,1)}
      35:{3,4,5}:{(29,1),(31,1),(38,1),(40,1)}
      36:{3,6}:{(29,1),(30,1)}
      37:{1,4,6}:{(31,1),(32,1),(40,1)}
      38:{2,4,5}:{(33,1),(35,1),(42,1)}
      39:{2,3,6}:{(33,1),(34,1),(36,1),(42,1)}
      40:{3,4,6}:{(35,1),(36,1),(37,1),(42,1),(43,1)}
      41:{1,4,5,6}:{(37,1),(43,1)}
      42:{2,4,6}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,5,6}:{(40,1),(41,1),(44,1)}
      44:{2,5,6}:{(42,1),(43,1)}

485 :  0:{1,2,3,6}:{(3,1),(5,1),(34,1),(36,1)}
       1:{1,3,4,6}:{(5,1),(6,1),(20,1),(23,1),(36,1)}
       2:{1,4,5,6}:{(7,1),(23,1)}
       3:{1,2,3,5}:{(0,1),(8,1),(10,1),(15,1),(27,1),(29,1)}
       4:{3,4,5}:{(11,1),(12,1),(13,1),(29,1)}
       5:{1,2,4,6}:{(0,1),(1,1),(10,1),(14,1),(15,1)}
       6:{1,3,5}:{(1,1),(12,1),(15,1),(29,1)}
       7:{3,5,6}:{(2,1),(13,1),(16,1)}
       8:{1,2,3}:{(18,1)}
       9:{2,3,4}:{(18,1),(19,1),(20,1)}
      10:{1,2,4}:{(3,1),(20,1)}
      11:{2,4,5}:{(4,1),(19,1),(22,1)}
      12:{1,4,5}:{(4,1),(6,1),(23,1)}
      13:{3,4,6}:{(4,1),(7,1),(22,1),(23,1),(36,1)}
      14:{2,3,4,6}:{(5,1),(20,1),(24,1),(36,1),(37,1)}
      15:{1,2,5}:{(5,1),(6,1),(24,1)}
      16:{2,5,6}:{(7,1),(22,1)}
      17:{1,3,5,6}:{(6,1),(7,1),(23,1),(25,1),(36,1)}
      18:{1,2,4}:{(8,1),(9,1),(26,1),(27,1)}
      19:{2,3,5}:{(9,1),(11,1),(27,1),(28,1),(29,1)}
      20:{3,4}:{(10,1),(29,1)}
      21:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(27,1),(29,1),(30,1),(31,1),(38,1)}
      22:{2,4,6}:{(11,1),(13,1),(16,1),(28,1)}
      23:{1,4,6}:{(12,1),(13,1),(17,1)}
      24:{2,3,5}:{(14,1),(15,1),(29,1),(31,1)}
      25:{1,2,5,6}:{(15,1),(16,1),(17,1),(30,1),(32,1),(44,1)}
      26:{1,3,4}:{(18,1),(20,1),(33,1)}
      27:{1,2,5}:{(18,1),(19,1),(33,1),(34,1)}
      28:{2,3,6}:{(19,1),(22,1),(34,1),(36,1)}
      29:{3,5}:{(20,1),(21,1),(36,1)}
      30:{1,2,4,6}:{(21,1),(22,1),(23,1),(25,1),(34,1),(36,1),(37,1),(42,1)}
      31:{2,4,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(24,1),(25,1),(36,1),(37,1),(43,1)}
      33:{1,3,5}:{(26,1),(27,1),(29,1),(38,1),(39,1)}
      34:{1,2,6}:{(27,1),(28,1),(39,1)}
      35:{3,4,5}:{(29,1),(31,1),(38,1),(40,1)}
      36:{3,6}:{(29,1),(30,1)}
      37:{2,4,6}:{(31,1),(32,1),(40,1)}
      38:{1,4,5}:{(33,1),(35,1),(42,1)}
      39:{1,3,6}:{(33,1),(34,1),(36,1),(42,1)}
      40:{3,4,6}:{(35,1),(36,1),(37,1),(42,1),(43,1)}
      41:{2,4,5,6}:{(37,1),(43,1)}
      42:{1,4,6}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,5,6}:{(40,1),(41,1),(44,1)}
      44:{1,5,6}:{(42,1),(43,1)}

486 :  0:{1,2,4,5,6}:{(1,1),(6,1),(7,1),(8,1),(18,1)}
       1:{3,5,6}:{(0,1),(2,1),(24,1)}
       2:{3,4,6}:{(1,1),(5,1),(6,1),(7,1),(19,1),(27,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(8,1),(14,1),(19,1),(26,1)}
       4:{2,3,5,6}:{(1,1),(7,1),(8,1),(16,1),(19,1),(25,1)}
       5:{3,4,5}:{(2,1),(11,1),(12,1),(24,1)}
       6:{1,4,6}:{(2,1),(3,1),(11,1),(29,1)}
       7:{2,4,6}:{(2,1),(4,1),(12,1),(28,1)}
       8:{1,2,5,6}:{(3,1),(4,1),(13,1),(20,1),(22,1)}
       9:{1,3,4,6}:{(6,1),(14,1),(15,1),(19,1),(27,1)}
      10:{2,3,4,6}:{(7,1),(16,1),(17,1),(19,1),(27,1)}
      11:{1,4,5}:{(5,1),(6,1),(14,1)}
      12:{2,4,5}:{(5,1),(7,1),(16,1)}
      13:{1,2,4,6}:{(6,1),(7,1),(8,1),(18,1),(19,1)}
      14:{1,3,5}:{(9,1),(11,1),(20,1),(24,1)}
      15:{1,2,4,6}:{(9,1),(20,1),(21,1),(28,1)}
      16:{2,3,5}:{(10,1),(12,1),(22,1),(24,1)}
      17:{1,2,4,6}:{(10,1),(22,1),(23,1),(29,1)}
      18:{1,2,4,5}:{(11,1),(12,1),(13,1),(20,1),(22,1),(24,1),(28,1),(29,1)}
      19:{3,6}:{(13,1),(24,1)}
      20:{1,2,5}:{(14,1),(15,1),(25,1)}
      21:{2,3,6}:{(15,1),(19,1),(25,1)}
      22:{1,2,5}:{(16,1),(17,1),(26,1)}
      23:{1,3,6}:{(17,1),(19,1),(26,1)}
      24:{3,5}:{(18,1),(19,1),(27,1)}
      25:{2,3,5}:{(20,1),(21,1),(24,1),(28,1)}
      26:{1,3,5}:{(22,1),(23,1),(24,1),(29,1)}
      27:{3,4}:{(24,1),(28,1),(29,1)}
      28:{2,4}:{(25,1),(27,1)}
      29:{1,4}:{(26,1),(27,1)}

487 :  0:{3,4,5,6}:{(1,1),(2,1),(14,1),(82,1)}
       1:{1,4,5,6}:{(0,1),(6,1),(84,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(83,1)}
       3:{2,3,4,5}:{(8,1),(9,1),(40,1),(59,1),(79,1)}
       4:{1,3,4,5}:{(10,1),(11,1),(40,1),(64,1),(81,1)}
       5:{2,3,5,6}:{(2,1),(8,1),(12,1),(14,1),(79,1)}
       6:{1,3,5,6}:{(1,1),(10,1),(13,1),(14,1),(81,1)}
       7:{1,2,4,5,6}:{(1,1),(2,1),(12,1),(13,1),(14,1),(38,1),(39,1),(69,1)}
       8:{2,3,4,6}:{(3,1),(5,1),(16,1),(24,1)}
       9:{1,2,4,5}:{(3,1),(16,1),(17,1),(45,1),(55,1),(72,1)}
      10:{1,3,4,6}:{(4,1),(6,1),(19,1),(24,1)}
      11:{1,2,4,5}:{(4,1),(19,1),(20,1),(51,1),(56,1),(75,1)}
      12:{1,2,5,6}:{(5,1),(16,1),(22,1),(72,1)}
      13:{1,2,5,6}:{(6,1),(19,1),(23,1),(75,1)}
      14:{3,5,6}:{(7,1),(24,1),(77,1)}
      15:{1,3,4,5}:{(25,1),(26,1),(29,1),(61,1),(82,1)}
      16:{1,2,4,6}:{(8,1),(9,1),(12,1),(28,1),(38,1)}
      17:{1,3,5}:{(9,1),(28,1),(29,1)}
      18:{2,3,4,5}:{(30,1),(31,1),(34,1),(66,1),(82,1)}
      19:{1,2,4,6}:{(10,1),(11,1),(13,1),(33,1),(39,1)}
      20:{2,3,5}:{(11,1),(33,1),(34,1)}
      21:{3,4,5,6}:{(35,1),(36,1),(40,1),(67,1)}
      22:{1,3,5,6}:{(12,1),(14,1),(28,1),(38,1),(61,1)}
      23:{2,3,5,6}:{(13,1),(14,1),(33,1),(39,1),(66,1)}
      24:{3,4,6}:{(14,1),(38,1),(39,1),(40,1)}
      25:{1,3,4,6}:{(15,1),(41,1),(42,1),(76,1)}
      26:{1,2,4,5}:{(15,1),(42,1),(43,1),(45,1),(72,1),(83,1)}
      27:{1,2,3,5}:{(17,1),(43,1),(44,1),(45,1),(72,1)}
      28:{1,3,6}:{(16,1),(17,1)}
      29:{1,3,4}:{(17,1),(45,1)}
      30:{2,3,4,6}:{(18,1),(47,1),(48,1),(76,1)}
      31:{1,2,4,5}:{(18,1),(48,1),(49,1),(51,1),(75,1),(84,1)}
      32:{1,2,3,5}:{(20,1),(49,1),(50,1),(51,1),(75,1)}
      33:{2,3,6}:{(19,1),(20,1)}
      34:{2,3,4}:{(20,1),(51,1)}
      35:{1,4,5,6}:{(21,1),(41,1),(55,1)}
      36:{2,4,5,6}:{(21,1),(47,1),(56,1)}
      37:{1,2,3,5,6}:{(22,1),(23,1),(44,1),(50,1),(54,1),(70,1),(72,1),(73,1),(75,1),(77,1)}
      38:{1,4,6}:{(22,1),(24,1),(55,1)}
      39:{2,4,6}:{(23,1),(24,1),(56,1)}
      40:{3,4,5}:{(24,1),(55,1),(56,1),(77,1)}
      41:{1,3,5,6}:{(25,1),(35,1),(57,1),(61,1),(67,1)}
      42:{1,2,4,6}:{(25,1),(26,1),(57,1),(58,1),(78,1)}
      43:{2,3,5}:{(26,1),(58,1),(59,1)}
      44:{1,2,3,6}:{(27,1),(28,1),(58,1),(60,1)}
      45:{1,2,4}:{(27,1),(29,1),(59,1)}
      46:{1,3,4,6}:{(28,1),(29,1),(38,1),(60,1),(61,1),(68,1)}
      47:{2,3,5,6}:{(30,1),(36,1),(62,1),(66,1),(67,1)}
      48:{1,2,4,6}:{(30,1),(31,1),(62,1),(63,1),(80,1)}
      49:{1,3,5}:{(31,1),(63,1),(64,1)}
      50:{1,2,3,6}:{(32,1),(33,1),(63,1),(65,1)}
      51:{1,2,4}:{(32,1),(34,1),(64,1)}
      52:{2,3,4,6}:{(33,1),(34,1),(39,1),(65,1),(66,1),(68,1)}
      53:{1,2,4,5,6}:{(35,1),(36,1),(57,1),(62,1),(67,1),(69,1),(78,1),(80,1)}
      54:{1,2,4,6}:{(37,1),(38,1),(39,1),(68,1),(69,1),(78,1),(80,1)}
      55:{1,4,5}:{(38,1),(40,1),(61,1)}
      56:{2,4,5}:{(39,1),(40,1),(66,1)}
      57:{1,2,5,6}:{(41,1),(42,1),(70,1),(72,1)}
      58:{2,3,6}:{(42,1),(43,1)}
      59:{2,3,4}:{(43,1),(45,1)}
      60:{1,2,4,6}:{(44,1),(45,1),(46,1),(71,1),(72,1)}
      61:{1,3,5}:{(46,1),(55,1),(72,1),(77,1)}
      62:{1,2,5,6}:{(47,1),(48,1),(73,1),(75,1)}
      63:{1,3,6}:{(48,1),(49,1)}
      64:{1,3,4}:{(49,1),(51,1)}
      65:{1,2,4,6}:{(50,1),(51,1),(52,1),(74,1),(75,1)}
      66:{2,3,5}:{(52,1),(56,1),(75,1),(77,1)}
      67:{3,5,6}:{(53,1),(76,1),(77,1)}
      68:{3,4,6}:{(54,1),(77,1)}
      69:{1,2,4,5}:{(54,1),(55,1),(56,1),(72,1),(75,1),(77,1),(83,1),(84,1)}
      70:{2,3,5,6}:{(57,1),(58,1),(67,1),(78,1),(79,1)}
      71:{2,3,4,6}:{(58,1),(59,1),(60,1),(68,1),(78,1),(79,1)}
      72:{1,2,5}:{(60,1),(61,1),(79,1)}
      73:{1,3,5,6}:{(62,1),(63,1),(67,1),(80,1),(81,1)}
      74:{1,3,4,6}:{(63,1),(64,1),(65,1),(68,1),(80,1),(81,1)}
      75:{1,2,5}:{(65,1),(66,1),(81,1)}
      76:{3,4,6}:{(67,1),(78,1),(80,1),(82,1)}
      77:{3,5}:{(68,1),(69,1)}
      78:{2,4,6}:{(70,1),(76,1),(83,1)}
      79:{2,3,5}:{(71,1),(72,1),(77,1),(83,1)}
      80:{1,4,6}:{(73,1),(76,1),(84,1)}
      81:{1,3,5}:{(74,1),(75,1),(77,1),(84,1)}
      82:{3,4,5}:{(76,1),(77,1),(83,1),(84,1)}
      83:{2,4,5}:{(78,1),(79,1),(82,1)}
      84:{1,4,5}:{(80,1),(81,1),(82,1)}

488 :  0:{1,3,4,5}:{(2,1),(3,1),(28,1)}
       1:{2,3,4,5}:{(2,1),(4,1),(28,1)}
       2:{1,2,4,5}:{(0,1),(1,1),(5,1),(6,1)}
       3:{1,3,4,6}:{(0,1),(6,1),(7,1),(25,1)}
       4:{2,3,4,6}:{(1,1),(6,1),(8,1),(25,1)}
       5:{1,2,3,5}:{(2,1),(9,1),(10,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(4,1),(10,1),(11,1)}
       7:{1,3,5,6}:{(3,1),(11,1),(12,1),(21,1)}
       8:{2,3,5,6}:{(4,1),(11,1),(13,1),(21,1)}
       9:{1,2,3,4}:{(5,1)}
      10:{1,2,3,6}:{(5,1),(6,1)}
      11:{1,2,5,6}:{(6,1),(7,1),(8,1)}
      12:{1,4,5,6}:{(7,1),(17,1)}
      13:{2,4,5,6}:{(8,1),(18,1)}
      14:{1,2,3,4,6}:{(9,1),(10,1),(19,1),(20,1),(36,1),(38,1)}
      15:{1,2,3,5,6}:{(10,1),(11,1),(19,1),(20,1),(21,1),(31,1),(36,1)}
      16:{1,2,4,5,6}:{(11,1),(12,1),(13,1),(20,1),(21,1),(22,1),(23,1),(31,1)}
      17:{3,4,5,6}:{(12,1),(21,1),(22,1)}
      18:{3,4,5,6}:{(13,1),(21,1),(23,1)}
      19:{1,2,3,5}:{(14,1),(24,1)}
      20:{1,2,4,6}:{(15,1),(24,1),(25,1)}
      21:{3,5,6}:{(16,1),(25,1)}
      22:{2,4,5,6}:{(17,1),(27,1)}
      23:{1,4,5,6}:{(18,1),(26,1)}
      24:{1,2,4,5}:{(19,1),(20,1),(28,1)}
      25:{3,4,6}:{(20,1),(21,1),(28,1)}
      26:{1,3,5,6}:{(21,1),(23,1),(29,1),(31,1)}
      27:{2,3,5,6}:{(21,1),(22,1),(30,1),(31,1)}
      28:{3,4,5}:{(24,1),(25,1)}
      29:{1,3,4,6}:{(25,1),(26,1),(32,1),(34,1)}
      30:{2,3,4,6}:{(25,1),(27,1),(33,1),(34,1)}
      31:{1,2,5,6}:{(26,1),(27,1),(34,1)}
      32:{1,3,4,5}:{(28,1),(29,1),(35,1)}
      33:{2,3,4,5}:{(28,1),(30,1),(35,1)}
      34:{1,2,4,6}:{(29,1),(30,1),(31,1),(35,1),(36,1)}
      35:{1,2,4,5}:{(32,1),(33,1),(34,1),(37,1)}
      36:{1,2,3,6}:{(34,1),(37,1)}
      37:{1,2,3,5}:{(35,1),(36,1),(38,1)}
      38:{1,2,3,4}:{(37,1)}

489 :  0:{1,3,4,6}:{(6,1),(7,1),(10,1),(27,1),(36,1)}
       1:{2,3,4,6}:{(6,1),(8,1),(11,1),(27,1),(36,1)}
       2:{1,3,5,6}:{(7,1),(9,1),(10,1),(13,1),(27,1)}
       3:{2,3,5,6}:{(8,1),(9,1),(11,1),(12,1),(27,1)}
       4:{2,4,5,6}:{(11,1),(12,1)}
       5:{1,4,5,6}:{(10,1),(13,1)}
       6:{1,2,4,6}:{(0,1),(1,1),(14,1),(15,1),(30,1)}
       7:{1,3,5}:{(0,1),(15,1),(16,1),(31,1)}
       8:{2,3,5}:{(1,1),(15,1),(17,1),(31,1)}
       9:{1,2,5,6}:{(2,1),(3,1),(15,1),(18,1),(21,1),(22,1)}
      10:{1,4,6}:{(2,1),(16,1),(19,1)}
      11:{2,4,6}:{(3,1),(17,1),(20,1)}
      12:{3,5,6}:{(4,1),(20,1),(21,1)}
      13:{3,5,6}:{(5,1),(19,1),(22,1)}
      14:{1,2,3,6}:{(6,1),(23,1),(27,1),(39,1)}
      15:{1,2,5}:{(6,1),(7,1),(8,1)}
      16:{1,4,5}:{(7,1),(10,1),(25,1)}
      17:{2,4,5}:{(8,1),(11,1),(26,1)}
      18:{1,2,4,6}:{(9,1),(10,1),(11,1),(24,1),(27,1),(28,1),(29,1),(39,1)}
      19:{3,4,6}:{(10,1),(13,1),(25,1),(27,1),(28,1)}
      20:{3,4,6}:{(11,1),(12,1),(26,1),(27,1),(29,1)}
      21:{1,5,6}:{(12,1),(29,1)}
      22:{2,5,6}:{(13,1),(28,1)}
      23:{1,2,3,5}:{(14,1),(15,1),(30,1),(31,1),(42,1),(44,1)}
      24:{1,2,4,5}:{(15,1),(16,1),(17,1),(18,1),(30,1),(31,1),(32,1),(33,1),(42,1)}
      25:{3,4,5}:{(16,1),(19,1),(31,1),(32,1)}
      26:{3,4,5}:{(17,1),(20,1),(31,1),(33,1)}
      27:{3,6}:{(18,1),(31,1)}
      28:{2,4,6}:{(19,1),(22,1),(32,1),(35,1)}
      29:{1,4,6}:{(20,1),(21,1),(33,1),(34,1)}
      30:{1,2,4}:{(23,1),(36,1)}
      31:{3,5}:{(24,1),(27,1),(36,1)}
      32:{2,4,5}:{(25,1),(28,1),(38,1)}
      33:{1,4,5}:{(26,1),(29,1),(37,1)}
      34:{1,3,6}:{(27,1),(29,1),(37,1),(39,1)}
      35:{2,3,6}:{(27,1),(28,1),(38,1),(39,1)}
      36:{3,4}:{(30,1),(31,1)}
      37:{1,3,5}:{(31,1),(33,1),(34,1),(40,1),(42,1)}
      38:{2,3,5}:{(31,1),(32,1),(35,1),(41,1),(42,1)}
      39:{1,2,6}:{(34,1),(35,1),(42,1)}
      40:{1,3,4}:{(36,1),(37,1),(43,1)}
      41:{2,3,4}:{(36,1),(38,1),(43,1)}
      42:{1,2,5}:{(37,1),(38,1),(39,1),(43,1)}
      43:{1,2,4}:{(40,1),(41,1),(42,1),(44,1)}
      44:{1,2,3}:{(43,1)}

490 :  0:{1,2,3,6}:{(3,1),(4,1),(34,1),(44,1)}
       1:{2,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(34,1)}
       2:{1,3,4,6}:{(3,1),(6,1),(17,1),(20,1),(34,1)}
       3:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       4:{1,2,3,5}:{(0,1),(7,1),(8,1),(25,1),(42,1),(43,1)}
       5:{2,3,5}:{(1,1),(7,1),(10,1),(25,1)}
       6:{1,3,5}:{(2,1),(7,1),(12,1),(25,1)}
       7:{1,2,5}:{(3,1),(5,1),(6,1)}
       8:{1,2,4}:{(4,1),(17,1)}
       9:{2,3,5,6}:{(5,1),(15,1),(18,1),(23,1),(34,1)}
      10:{2,4,5}:{(5,1),(18,1),(19,1)}
      11:{1,3,5,6}:{(6,1),(15,1),(20,1),(22,1),(34,1)}
      12:{1,4,5}:{(6,1),(20,1),(21,1)}
      13:{1,4,5,6}:{(20,1),(22,1)}
      14:{2,4,5,6}:{(18,1),(23,1)}
      15:{1,2,5,6}:{(7,1),(9,1),(11,1),(24,1),(32,1),(33,1)}
      16:{1,2,4,5}:{(7,1),(8,1),(10,1),(12,1),(24,1),(25,1),(29,1),(31,1),(42,1)}
      17:{3,4}:{(8,1),(25,1)}
      18:{2,4,6}:{(9,1),(10,1),(28,1)}
      19:{3,4,5}:{(10,1),(25,1),(28,1),(29,1)}
      20:{1,4,6}:{(11,1),(12,1),(30,1)}
      21:{3,4,5}:{(12,1),(25,1),(30,1),(31,1)}
      22:{3,5,6}:{(13,1),(30,1),(32,1)}
      23:{3,5,6}:{(14,1),(28,1),(33,1)}
      24:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(34,1),(38,1),(39,1),(44,1)}
      25:{3,5}:{(16,1),(17,1),(34,1)}
      26:{1,3,4}:{(17,1),(35,1),(37,1)}
      27:{2,3,4}:{(17,1),(36,1),(37,1)}
      28:{3,4,6}:{(18,1),(19,1),(23,1),(34,1),(38,1)}
      29:{1,4,5}:{(19,1),(35,1),(38,1)}
      30:{3,4,6}:{(20,1),(21,1),(22,1),(34,1),(39,1)}
      31:{2,4,5}:{(21,1),(36,1),(39,1)}
      32:{2,5,6}:{(22,1),(39,1)}
      33:{1,5,6}:{(23,1),(38,1)}
      34:{3,6}:{(24,1),(25,1)}
      35:{1,3,5}:{(25,1),(26,1),(29,1),(40,1),(42,1)}
      36:{2,3,5}:{(25,1),(27,1),(31,1),(41,1),(42,1)}
      37:{1,2,4}:{(26,1),(27,1),(42,1),(43,1)}
      38:{1,4,6}:{(28,1),(29,1),(33,1),(40,1)}
      39:{2,4,6}:{(30,1),(31,1),(32,1),(41,1)}
      40:{1,3,6}:{(34,1),(35,1),(38,1),(44,1)}
      41:{2,3,6}:{(34,1),(36,1),(39,1),(44,1)}
      42:{1,2,5}:{(35,1),(36,1),(37,1),(44,1)}
      43:{1,2,3}:{(37,1)}
      44:{1,2,6}:{(40,1),(41,1),(42,1)}

491 : 0:{1,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{2,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{2,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{2,3,4,5}:{(4,1),(8,1)}
      7:{1,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{1,3,5}:{(7,1),(8,1)}

492 :  0:{2,3,4,5}:{(2,1),(3,1),(24,1),(50,1),(71,1)}
       1:{1,3,4,5}:{(4,1),(5,1),(19,1),(46,1),(73,1)}
       2:{2,3,4,6}:{(0,1),(7,1),(8,1),(58,1)}
       3:{1,2,4,5}:{(0,1),(8,1),(9,1),(28,1),(56,1),(59,1)}
       4:{1,3,4,6}:{(1,1),(11,1),(12,1),(61,1)}
       5:{1,2,4,5}:{(1,1),(12,1),(13,1),(28,1),(56,1),(62,1)}
       6:{3,4,5,6}:{(15,1),(16,1),(44,1),(73,1)}
       7:{2,3,5,6}:{(2,1),(16,1),(17,1),(44,1),(50,1)}
       8:{1,2,4,6}:{(2,1),(3,1),(17,1),(18,1),(45,1)}
       9:{1,3,5}:{(3,1),(18,1),(19,1)}
      10:{3,4,5,6}:{(20,1),(21,1),(48,1),(71,1)}
      11:{1,3,5,6}:{(4,1),(20,1),(22,1),(46,1),(48,1)}
      12:{1,2,4,6}:{(4,1),(5,1),(22,1),(23,1),(49,1)}
      13:{2,3,5}:{(5,1),(23,1),(24,1)}
      14:{1,2,3,5}:{(9,1),(13,1),(27,1),(28,1),(56,1)}
      15:{1,4,5,6}:{(6,1),(29,1),(80,1)}
      16:{2,4,5,6}:{(6,1),(7,1),(62,1)}
      17:{1,2,5,6}:{(7,1),(8,1),(31,1),(56,1)}
      18:{1,3,6}:{(8,1),(9,1)}
      19:{1,3,4}:{(9,1),(28,1)}
      20:{1,4,5,6}:{(10,1),(11,1),(59,1)}
      21:{2,4,5,6}:{(10,1),(33,1),(79,1)}
      22:{1,2,5,6}:{(11,1),(12,1),(35,1),(56,1)}
      23:{2,3,6}:{(12,1),(13,1)}
      24:{2,3,4}:{(13,1),(28,1)}
      25:{2,3,4,5}:{(37,1),(38,1),(67,1),(73,1),(83,1)}
      26:{1,3,4,5}:{(39,1),(40,1),(65,1),(71,1),(82,1)}
      27:{1,2,3,6}:{(14,1),(18,1),(23,1),(42,1)}
      28:{1,2,4}:{(14,1),(19,1),(24,1)}
      29:{1,3,5,6}:{(15,1),(39,1),(43,1),(44,1),(82,1)}
      30:{1,2,4,5,6}:{(15,1),(16,1),(17,1),(43,1),(44,1),(45,1),(69,1),(70,1)}
      31:{1,3,5,6}:{(17,1),(18,1),(44,1),(45,1),(46,1)}
      32:{1,3,4,6}:{(18,1),(19,1),(42,1),(45,1),(46,1),(68,1)}
      33:{2,3,5,6}:{(21,1),(37,1),(47,1),(48,1),(83,1)}
      34:{1,2,4,5,6}:{(20,1),(21,1),(22,1),(47,1),(48,1),(49,1),(69,1),(72,1)}
      35:{2,3,5,6}:{(22,1),(23,1),(48,1),(49,1),(50,1)}
      36:{2,3,4,6}:{(23,1),(24,1),(42,1),(49,1),(50,1),(68,1)}
      37:{2,3,4,6}:{(25,1),(33,1),(51,1),(61,1)}
      38:{1,2,4,5}:{(25,1),(51,1),(52,1),(75,1),(80,1),(84,1)}
      39:{1,3,4,6}:{(26,1),(29,1),(53,1),(58,1)}
      40:{1,2,4,5}:{(26,1),(53,1),(54,1),(75,1),(79,1),(84,1)}
      41:{1,2,3,5,6}:{(27,1),(31,1),(35,1),(55,1),(56,1),(57,1),(60,1),(74,1),(78,1),(84,1)}
      42:{1,2,4,6}:{(27,1),(28,1),(32,1),(36,1),(56,1)}
      43:{1,2,5,6}:{(29,1),(53,1),(57,1),(84,1)}
      44:{3,5,6}:{(30,1),(58,1),(78,1)}
      45:{1,4,6}:{(31,1),(58,1),(59,1)}
      46:{1,3,5}:{(32,1),(56,1),(59,1),(78,1)}
      47:{1,2,5,6}:{(33,1),(51,1),(60,1),(84,1)}
      48:{3,5,6}:{(34,1),(61,1),(78,1)}
      49:{2,4,6}:{(35,1),(61,1),(62,1)}
      50:{2,3,5}:{(36,1),(56,1),(62,1),(78,1)}
      51:{1,2,4,6}:{(37,1),(38,1),(47,1),(64,1),(72,1)}
      52:{1,3,5}:{(38,1),(64,1),(65,1)}
      53:{1,2,4,6}:{(39,1),(40,1),(43,1),(66,1),(70,1)}
      54:{2,3,5}:{(40,1),(66,1),(67,1)}
      55:{1,2,4,6}:{(41,1),(45,1),(49,1),(68,1),(69,1),(70,1),(72,1)}
      56:{1,2,5}:{(42,1),(46,1),(50,1)}
      57:{2,3,5,6}:{(43,1),(44,1),(66,1),(70,1),(83,1)}
      58:{3,4,6}:{(44,1),(45,1),(70,1),(71,1)}
      59:{1,4,5}:{(45,1),(46,1),(71,1)}
      60:{1,3,5,6}:{(47,1),(48,1),(64,1),(72,1),(82,1)}
      61:{3,4,6}:{(48,1),(49,1),(72,1),(73,1)}
      62:{2,4,5}:{(49,1),(50,1),(73,1)}
      63:{1,2,3,5}:{(52,1),(54,1),(74,1),(75,1),(84,1)}
      64:{1,3,6}:{(51,1),(52,1)}
      65:{1,3,4}:{(52,1),(75,1)}
      66:{2,3,6}:{(53,1),(54,1)}
      67:{2,3,4}:{(54,1),(75,1)}
      68:{3,4,6}:{(55,1),(78,1)}
      69:{1,2,4,5}:{(55,1),(56,1),(59,1),(62,1),(78,1),(79,1),(80,1),(84,1)}
      70:{2,4,6}:{(57,1),(58,1),(79,1)}
      71:{3,4,5}:{(58,1),(59,1),(78,1),(79,1)}
      72:{1,4,6}:{(60,1),(61,1),(80,1)}
      73:{3,4,5}:{(61,1),(62,1),(78,1),(80,1)}
      74:{1,2,3,6}:{(63,1),(64,1),(66,1),(81,1)}
      75:{1,2,4}:{(63,1),(65,1),(67,1)}
      76:{1,3,4,6}:{(64,1),(65,1),(68,1),(72,1),(81,1),(82,1)}
      77:{2,3,4,6}:{(66,1),(67,1),(68,1),(70,1),(81,1),(83,1)}
      78:{3,5}:{(68,1),(69,1)}
      79:{2,4,5}:{(70,1),(71,1),(83,1)}
      80:{1,4,5}:{(72,1),(73,1),(82,1)}
      81:{1,2,4,6}:{(74,1),(75,1),(76,1),(77,1),(84,1)}
      82:{1,3,5}:{(76,1),(78,1),(80,1),(84,1)}
      83:{2,3,5}:{(77,1),(78,1),(79,1),(84,1)}
      84:{1,2,5}:{(81,1),(82,1),(83,1)}

493 : 0:{2,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{1,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{1,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{1,3,4,5}:{(4,1),(8,1)}
      7:{2,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{2,3,5}:{(7,1),(8,1)}

494 :  0:{3,4,5,6}:{(3,1),(4,1),(20,1),(39,1)}
       1:{1,3,4,5}:{(5,1),(8,1),(27,1),(39,1),(42,1)}
       2:{2,3,4,5}:{(6,1),(9,1),(26,1),(39,1),(41,1)}
       3:{1,4,5,6}:{(0,1),(10,1),(45,1)}
       4:{2,4,5,6}:{(0,1),(11,1),(44,1)}
       5:{1,3,4,6}:{(1,1),(10,1),(13,1),(30,1)}
       6:{2,3,4,6}:{(2,1),(11,1),(14,1),(30,1)}
       7:{1,2,3,5,6}:{(15,1),(28,1),(29,1),(31,1),(34,1),(46,1)}
       8:{1,2,4,5}:{(1,1),(13,1),(16,1),(35,1),(44,1),(46,1)}
       9:{1,2,4,5}:{(2,1),(14,1),(17,1),(35,1),(45,1),(46,1)}
      10:{1,3,5,6}:{(3,1),(5,1),(18,1),(20,1),(42,1)}
      11:{2,3,5,6}:{(4,1),(6,1),(19,1),(20,1),(41,1)}
      12:{1,2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(20,1),(24,1),(37,1),(38,1),(48,1)}
      13:{1,2,4,6}:{(5,1),(8,1),(18,1),(21,1),(37,1)}
      14:{1,2,4,6}:{(6,1),(9,1),(19,1),(22,1),(38,1)}
      15:{1,2,4,6}:{(7,1),(23,1),(24,1),(37,1),(38,1)}
      16:{2,3,5}:{(8,1),(21,1),(26,1)}
      17:{1,3,5}:{(9,1),(22,1),(27,1)}
      18:{1,2,5,6}:{(10,1),(13,1),(28,1),(46,1)}
      19:{1,2,5,6}:{(11,1),(14,1),(29,1),(46,1)}
      20:{3,5,6}:{(12,1),(30,1),(34,1),(49,1)}
      21:{2,3,6}:{(13,1),(16,1)}
      22:{1,3,6}:{(14,1),(17,1)}
      23:{3,4,6}:{(15,1),(34,1)}
      24:{1,2,4,5}:{(15,1),(34,1),(44,1),(45,1),(46,1)}
      25:{1,2,3,5}:{(16,1),(17,1),(31,1),(35,1),(46,1)}
      26:{2,3,4}:{(16,1),(35,1)}
      27:{1,3,4}:{(17,1),(35,1)}
      28:{2,3,5,6}:{(18,1),(20,1),(21,1),(37,1),(41,1)}
      29:{1,3,5,6}:{(19,1),(20,1),(22,1),(38,1),(42,1)}
      30:{3,4,6}:{(20,1),(37,1),(38,1),(39,1)}
      31:{1,2,3,6}:{(21,1),(22,1),(25,1),(40,1)}
      32:{2,3,4,6}:{(21,1),(23,1),(26,1),(37,1),(40,1),(41,1),(47,1)}
      33:{1,3,4,6}:{(22,1),(23,1),(27,1),(38,1),(40,1),(42,1),(47,1)}
      34:{3,5}:{(23,1),(24,1)}
      35:{1,2,4}:{(25,1),(26,1),(27,1)}
      36:{1,2,3,5,6}:{(28,1),(29,1),(31,1),(43,1),(46,1),(49,1)}
      37:{2,4,6}:{(28,1),(30,1),(44,1)}
      38:{1,4,6}:{(29,1),(30,1),(45,1)}
      39:{3,4,5}:{(30,1),(34,1),(44,1),(45,1),(49,1)}
      40:{1,2,4,6}:{(31,1),(32,1),(33,1),(35,1),(46,1)}
      41:{2,3,5}:{(32,1),(34,1),(44,1),(46,1),(49,1)}
      42:{1,3,5}:{(33,1),(34,1),(45,1),(46,1),(49,1)}
      43:{1,2,4,6}:{(36,1),(37,1),(38,1),(47,1),(48,1)}
      44:{2,4,5}:{(37,1),(39,1),(41,1)}
      45:{1,4,5}:{(38,1),(39,1),(42,1)}
      46:{1,2,5}:{(40,1),(41,1),(42,1)}
      47:{3,4,6}:{(43,1),(49,1)}
      48:{1,2,4,5}:{(43,1),(44,1),(45,1),(46,1),(49,1)}
      49:{3,5}:{(47,1),(48,1)}

495 :  0:{1,2,3,5,6}:{(1,1),(4,1),(7,1),(19,1),(20,1),(21,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(24,1),(25,1)}
       2:{3,4,6}:{(1,1),(7,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(16,1),(17,1),(19,1)}
       4:{1,2,3,6}:{(9,1),(11,1),(29,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(22,1),(24,1),(29,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(13,1),(22,1),(25,1),(29,1)}
       7:{3,5}:{(2,1),(3,1)}
       8:{1,2,4,5,6}:{(3,1),(14,1),(24,1),(25,1),(26,1)}
       9:{1,2,3,5}:{(4,1),(15,1),(19,1),(27,1)}
      10:{3,4,5}:{(7,1),(16,1),(17,1),(18,1),(27,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(6,1),(15,1),(19,1)}
      12:{2,3,5}:{(5,1),(7,1),(16,1),(19,1),(27,1)}
      13:{1,3,5}:{(6,1),(7,1),(17,1),(19,1),(27,1)}
      14:{3,5,6}:{(7,1),(8,1),(18,1)}
      15:{1,2,4}:{(9,1),(22,1)}
      16:{2,4,5}:{(10,1),(12,1),(24,1)}
      17:{1,4,5}:{(10,1),(13,1),(25,1)}
      18:{3,4,6}:{(10,1),(14,1),(24,1),(25,1),(29,1)}
      19:{1,2,5}:{(11,1),(12,1),(13,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(29,1)}
      21:{1,3,5,6}:{(13,1),(14,1),(25,1),(26,1),(29,1)}
      22:{3,4}:{(15,1),(27,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(17,1),(19,1),(27,1),(28,1)}
      24:{2,4,6}:{(16,1),(18,1),(20,1)}
      25:{1,4,6}:{(17,1),(18,1),(21,1)}
      26:{1,2,5,6}:{(19,1),(20,1),(21,1),(28,1)}
      27:{3,5}:{(22,1),(23,1),(29,1)}
      28:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(29,1)}
      29:{3,6}:{(27,1),(28,1)}

496 :  0:{1,2,3,5,6}:{(2,1),(7,1),(8,1),(9,1),(22,1),(23,1)}
       1:{1,2,4,5,6}:{(3,1),(4,1),(13,1),(14,1),(15,1)}
       2:{1,2,4,6}:{(0,1),(4,1),(5,1),(13,1),(14,1)}
       3:{3,5,6}:{(1,1),(6,1),(9,1)}
       4:{1,2,4,5}:{(2,1),(9,1),(19,1),(20,1),(22,1)}
       5:{3,4,6}:{(2,1),(9,1)}
       6:{3,4,6}:{(3,1),(12,1),(13,1),(14,1),(25,1)}
       7:{1,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(25,1)}
       8:{2,3,5,6}:{(3,1),(14,1),(15,1),(17,1),(25,1)}
       9:{3,5}:{(4,1),(5,1)}
      10:{1,3,4,6}:{(5,1),(13,1),(16,1),(18,1),(25,1),(29,1)}
      11:{2,3,4,6}:{(5,1),(14,1),(17,1),(18,1),(25,1),(29,1)}
      12:{3,4,5}:{(6,1),(9,1),(19,1),(20,1),(27,1)}
      13:{1,4,6}:{(6,1),(7,1),(19,1)}
      14:{2,4,6}:{(6,1),(8,1),(20,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(21,1),(22,1)}
      16:{1,3,5}:{(9,1),(10,1),(19,1),(22,1),(27,1)}
      17:{2,3,5}:{(9,1),(11,1),(20,1),(22,1),(27,1)}
      18:{1,2,4,6}:{(10,1),(11,1),(22,1),(23,1),(28,1)}
      19:{1,4,5}:{(12,1),(13,1),(16,1)}
      20:{2,4,5}:{(12,1),(14,1),(17,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(15,1),(24,1),(25,1)}
      22:{1,2,5}:{(16,1),(17,1),(18,1)}
      23:{1,2,3,6}:{(18,1),(25,1),(26,1)}
      24:{1,2,4,5}:{(19,1),(20,1),(21,1),(22,1),(27,1),(28,1)}
      25:{3,6}:{(21,1),(27,1)}
      26:{1,2,3,5}:{(22,1),(23,1),(27,1),(28,1)}
      27:{3,5}:{(24,1),(25,1),(29,1)}
      28:{1,2,4}:{(26,1),(29,1)}
      29:{3,4}:{(27,1),(28,1)}

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

498 : 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:{3,4,5}:{(2,1),(6,1)}
      5:{1,2,4,6}:{(2,1),(3,1),(6,1),(7,1)}
      6:{3,4,6}:{(4,1),(5,1),(8,1)}
      7:{1,2,5,6}:{(5,1),(8,1)}
      8:{3,5,6}:{(6,1),(7,1),(9,1)}
      9:{4,5,6}:{(8,1)}

499 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(4,1),(5,1)}
       2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(15,1),(37,1),(38,1)}
       3:{1,3,4,5}:{(4,1),(7,1),(16,1)}
       4:{1,2,4,5}:{(1,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,6}:{(1,1),(9,1)}
       6:{1,2,3,5}:{(2,1),(11,1)}
       7:{1,3,4,6}:{(3,1),(9,1),(12,1),(20,1)}
       8:{2,3,4,5}:{(4,1),(13,1),(16,1)}
       9:{1,2,4,6}:{(4,1),(5,1),(7,1),(13,1),(14,1)}
      10:{1,2,3,5,6}:{(5,1),(6,1),(14,1),(15,1),(25,1),(36,1),(37,1)}
      11:{1,2,4,5}:{(6,1),(15,1),(16,1)}
      12:{1,3,5,6}:{(7,1),(14,1),(17,1),(25,1)}
      13:{2,3,4,6}:{(8,1),(9,1),(18,1),(20,1)}
      14:{1,2,5,6}:{(9,1),(12,1),(18,1)}
      15:{1,2,4,6}:{(10,1),(11,1),(20,1)}
      16:{3,4,5}:{(11,1),(20,1)}
      17:{1,4,5,6}:{(12,1),(23,1)}
      18:{2,3,5,6}:{(13,1),(14,1),(24,1),(25,1)}
      19:{1,2,4,5,6}:{(14,1),(15,1),(17,1),(24,1),(25,1),(29,1),(35,1),(36,1)}
      20:{3,4,6}:{(15,1),(16,1),(25,1)}
      21:{1,3,4,5}:{(16,1),(26,1),(28,1)}
      22:{2,3,4,5}:{(16,1),(27,1),(28,1)}
      23:{3,4,5,6}:{(17,1),(25,1),(29,1)}
      24:{2,4,5,6}:{(18,1),(30,1)}
      25:{3,5,6}:{(19,1),(20,1)}
      26:{1,3,4,6}:{(20,1),(21,1),(31,1),(33,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(32,1),(33,1)}
      28:{1,2,4,5}:{(21,1),(22,1),(33,1),(34,1)}
      29:{2,4,5,6}:{(23,1),(32,1)}
      30:{3,4,5,6}:{(24,1),(25,1),(35,1)}
      31:{1,3,5,6}:{(25,1),(26,1),(35,1),(36,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(29,1),(36,1)}
      33:{1,2,4,6}:{(26,1),(27,1),(28,1),(36,1),(37,1)}
      34:{1,2,3,5}:{(28,1),(37,1),(38,1)}
      35:{1,4,5,6}:{(30,1),(31,1)}
      36:{1,2,5,6}:{(31,1),(32,1),(33,1)}
      37:{1,2,3,6}:{(33,1),(34,1)}
      38:{1,2,3,4}:{(34,1)}

500 :  0:{1,2,3,6}:{(3,1),(4,1),(37,1),(44,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(14,1),(18,1),(37,1)}
       2:{1,3,4,6}:{(4,1),(6,1),(14,1),(20,1),(37,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(23,1),(26,1),(41,1)}
       4:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       5:{2,3,5}:{(1,1),(8,1),(9,1),(26,1)}
       6:{1,3,5}:{(2,1),(8,1),(11,1),(26,1)}
       7:{1,2,4}:{(3,1),(14,1)}
       8:{1,2,5}:{(4,1),(5,1),(6,1)}
       9:{2,4,5}:{(5,1),(17,1),(18,1)}
      10:{2,3,5,6}:{(5,1),(16,1),(18,1),(33,1),(37,1)}
      11:{1,4,5}:{(6,1),(19,1),(20,1)}
      12:{1,3,5,6}:{(6,1),(16,1),(20,1),(21,1),(37,1)}
      13:{1,4,5,6}:{(20,1),(21,1)}
      14:{3,4}:{(7,1),(26,1)}
      15:{1,2,4,5}:{(7,1),(8,1),(9,1),(11,1),(26,1),(27,1),(28,1),(30,1),(41,1)}
      16:{1,2,5,6}:{(8,1),(10,1),(12,1),(27,1),(32,1),(40,1)}
      17:{3,4,5}:{(9,1),(26,1),(28,1),(29,1)}
      18:{2,4,6}:{(9,1),(10,1),(29,1)}
      19:{3,4,5}:{(11,1),(26,1),(30,1),(31,1)}
      20:{1,4,6}:{(11,1),(12,1),(31,1)}
      21:{3,5,6}:{(13,1),(31,1),(32,1)}
      22:{2,4,5,6}:{(18,1),(33,1)}
      23:{1,2,3}:{(34,1)}
      24:{2,3,4}:{(14,1),(34,1),(35,1)}
      25:{1,3,4}:{(14,1),(34,1),(36,1)}
      26:{3,5}:{(14,1),(15,1),(37,1)}
      27:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(37,1),(38,1),(39,1),(44,1)}
      28:{1,4,5}:{(17,1),(36,1),(38,1)}
      29:{3,4,6}:{(17,1),(18,1),(33,1),(37,1),(38,1)}
      30:{2,4,5}:{(19,1),(35,1),(39,1)}
      31:{3,4,6}:{(19,1),(20,1),(21,1),(37,1),(39,1)}
      32:{2,5,6}:{(21,1),(39,1)}
      33:{3,5,6}:{(22,1),(29,1),(40,1)}
      34:{1,2,4}:{(23,1),(24,1),(25,1),(41,1)}
      35:{2,3,5}:{(24,1),(26,1),(30,1),(41,1),(42,1)}
      36:{1,3,5}:{(25,1),(26,1),(28,1),(41,1),(43,1)}
      37:{3,6}:{(26,1),(27,1)}
      38:{1,4,6}:{(28,1),(29,1),(40,1),(43,1)}
      39:{2,4,6}:{(30,1),(31,1),(32,1),(42,1)}
      40:{1,5,6}:{(33,1),(38,1)}
      41:{1,2,5}:{(34,1),(35,1),(36,1),(44,1)}
      42:{2,3,6}:{(35,1),(37,1),(39,1),(44,1)}
      43:{1,3,6}:{(36,1),(37,1),(38,1),(44,1)}
      44:{1,2,6}:{(41,1),(42,1),(43,1)}

501 :  0:{1,2,3,6}:{(3,1),(5,1),(34,1),(36,1)}
       1:{1,3,4,6}:{(5,1),(6,1),(20,1),(23,1),(36,1)}
       2:{1,4,5,6}:{(7,1),(23,1)}
       3:{1,2,3,5}:{(0,1),(8,1),(10,1),(15,1),(27,1),(29,1)}
       4:{3,4,5}:{(11,1),(12,1),(13,1),(29,1)}
       5:{1,2,4,6}:{(0,1),(1,1),(10,1),(14,1),(15,1)}
       6:{1,3,5}:{(1,1),(12,1),(15,1),(29,1)}
       7:{3,5,6}:{(2,1),(13,1),(16,1)}
       8:{1,2,3}:{(18,1)}
       9:{2,3,4}:{(18,1),(19,1),(20,1)}
      10:{1,2,4}:{(3,1),(20,1)}
      11:{2,4,5}:{(4,1),(19,1),(22,1)}
      12:{1,4,5}:{(4,1),(6,1),(23,1)}
      13:{3,4,6}:{(4,1),(7,1),(22,1),(23,1),(36,1)}
      14:{2,3,4,6}:{(5,1),(20,1),(24,1),(36,1),(37,1)}
      15:{1,2,5}:{(5,1),(6,1),(24,1)}
      16:{2,5,6}:{(7,1),(22,1)}
      17:{1,3,5,6}:{(6,1),(7,1),(23,1),(25,1),(36,1)}
      18:{1,2,4}:{(8,1),(9,1),(26,1),(27,1)}
      19:{2,3,5}:{(9,1),(11,1),(27,1),(28,1),(29,1)}
      20:{3,4}:{(10,1),(29,1)}
      21:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(27,1),(29,1),(30,1),(31,1),(38,1)}
      22:{2,4,6}:{(11,1),(13,1),(16,1),(28,1)}
      23:{1,4,6}:{(12,1),(13,1),(17,1)}
      24:{2,3,5}:{(14,1),(15,1),(29,1),(31,1)}
      25:{1,2,5,6}:{(15,1),(16,1),(17,1),(30,1),(32,1),(44,1)}
      26:{1,3,4}:{(18,1),(20,1),(33,1)}
      27:{1,2,5}:{(18,1),(19,1),(33,1),(34,1)}
      28:{2,3,6}:{(19,1),(22,1),(34,1),(36,1)}
      29:{3,5}:{(20,1),(21,1),(36,1)}
      30:{1,2,4,6}:{(21,1),(22,1),(23,1),(25,1),(34,1),(36,1),(37,1),(42,1)}
      31:{2,4,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(24,1),(25,1),(36,1),(37,1),(43,1)}
      33:{1,3,5}:{(26,1),(27,1),(29,1),(38,1),(39,1)}
      34:{1,2,6}:{(27,1),(28,1),(39,1)}
      35:{3,4,5}:{(29,1),(31,1),(38,1),(40,1)}
      36:{3,6}:{(29,1),(30,1)}
      37:{2,4,6}:{(31,1),(32,1),(40,1)}
      38:{1,4,5}:{(33,1),(35,1),(42,1)}
      39:{1,3,6}:{(33,1),(34,1),(36,1),(42,1)}
      40:{3,4,6}:{(35,1),(36,1),(37,1),(42,1),(43,1)}
      41:{2,4,5,6}:{(37,1),(43,1)}
      42:{1,4,6}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,5,6}:{(40,1),(41,1),(44,1)}
      44:{1,5,6}:{(42,1),(43,1)}

502 :  0:{1,2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(20,1)}
       1:{3,5,6}:{(0,1),(2,1),(25,1)}
       2:{3,4,6}:{(1,1),(6,1),(7,1),(8,1),(21,1),(28,1)}
       3:{1,3,5,6}:{(1,1),(7,1),(9,1),(10,1),(21,1),(27,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1),(18,1),(21,1),(22,1)}
       5:{1,3,4,6}:{(7,1),(10,1),(11,1),(21,1),(28,1)}
       6:{3,4,5}:{(2,1),(13,1),(14,1),(25,1)}
       7:{1,4,6}:{(2,1),(3,1),(13,1),(29,1)}
       8:{2,4,6}:{(2,1),(4,1),(14,1),(26,1)}
       9:{1,2,5,6}:{(3,1),(4,1),(15,1),(16,1),(23,1)}
      10:{1,3,5}:{(5,1),(13,1),(16,1),(25,1)}
      11:{1,2,4,6}:{(5,1),(16,1),(17,1),(26,1)}
      12:{2,3,4,6}:{(8,1),(18,1),(19,1),(21,1),(28,1)}
      13:{1,4,5}:{(6,1),(7,1),(10,1)}
      14:{2,4,5}:{(6,1),(8,1),(18,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(9,1),(20,1),(21,1)}
      16:{1,2,5}:{(10,1),(11,1),(22,1)}
      17:{2,3,6}:{(11,1),(21,1),(22,1)}
      18:{2,3,5}:{(12,1),(14,1),(23,1),(25,1)}
      19:{1,2,4,6}:{(12,1),(23,1),(24,1),(29,1)}
      20:{1,2,4,5}:{(13,1),(14,1),(15,1),(16,1),(23,1),(25,1),(26,1),(29,1)}
      21:{3,6}:{(15,1),(25,1)}
      22:{2,3,5}:{(16,1),(17,1),(25,1),(26,1)}
      23:{1,2,5}:{(18,1),(19,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{3,5}:{(20,1),(21,1),(28,1)}
      26:{2,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{3,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

503 :  0:{3,4,5,6}:{(2,1),(3,1),(17,1),(83,1)}
       1:{2,3,4,5}:{(4,1),(5,1),(46,1),(49,1),(74,1)}
       2:{1,4,5,6}:{(0,1),(8,1),(84,1)}
       3:{2,4,5,6}:{(0,1),(7,1),(80,1)}
       4:{2,3,4,6}:{(1,1),(7,1),(11,1),(29,1)}
       5:{1,2,4,5}:{(1,1),(11,1),(12,1),(34,1),(60,1),(64,1)}
       6:{1,3,4,5}:{(13,1),(14,1),(46,1),(67,1),(82,1)}
       7:{2,3,5,6}:{(3,1),(4,1),(15,1),(17,1),(74,1)}
       8:{1,3,5,6}:{(2,1),(13,1),(16,1),(17,1),(82,1)}
       9:{1,2,4,5,6}:{(2,1),(3,1),(15,1),(16,1),(17,1),(44,1),(45,1),(72,1)}
      10:{1,3,4,5}:{(18,1),(19,1),(22,1),(51,1),(83,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(15,1),(21,1),(44,1)}
      12:{1,3,5}:{(5,1),(21,1),(22,1)}
      13:{1,3,4,6}:{(6,1),(8,1),(24,1),(29,1)}
      14:{1,2,4,5}:{(6,1),(24,1),(25,1),(56,1),(61,1),(77,1)}
      15:{1,2,5,6}:{(7,1),(11,1),(27,1),(64,1)}
      16:{1,2,5,6}:{(8,1),(24,1),(28,1),(77,1)}
      17:{3,5,6}:{(9,1),(29,1),(79,1)}
      18:{1,3,4,6}:{(10,1),(30,1),(31,1),(78,1)}
      19:{1,2,4,5}:{(10,1),(31,1),(32,1),(34,1),(64,1),(80,1)}
      20:{1,2,3,5}:{(12,1),(32,1),(33,1),(34,1),(64,1)}
      21:{1,3,6}:{(11,1),(12,1)}
      22:{1,3,4}:{(12,1),(34,1)}
      23:{2,3,4,5}:{(36,1),(37,1),(40,1),(69,1),(83,1)}
      24:{1,2,4,6}:{(13,1),(14,1),(16,1),(39,1),(45,1)}
      25:{2,3,5}:{(14,1),(39,1),(40,1)}
      26:{3,4,5,6}:{(41,1),(42,1),(46,1),(70,1)}
      27:{1,3,5,6}:{(15,1),(17,1),(21,1),(44,1),(51,1)}
      28:{2,3,5,6}:{(16,1),(17,1),(39,1),(45,1),(69,1)}
      29:{3,4,6}:{(17,1),(44,1),(45,1),(46,1)}
      30:{1,3,5,6}:{(18,1),(41,1),(47,1),(51,1),(70,1)}
      31:{1,2,4,6}:{(18,1),(19,1),(47,1),(48,1),(73,1)}
      32:{2,3,5}:{(19,1),(48,1),(49,1)}
      33:{1,2,3,6}:{(20,1),(21,1),(48,1),(50,1)}
      34:{1,2,4}:{(20,1),(22,1),(49,1)}
      35:{1,3,4,6}:{(21,1),(22,1),(44,1),(50,1),(51,1),(71,1)}
      36:{2,3,4,6}:{(23,1),(52,1),(53,1),(78,1)}
      37:{1,2,4,5}:{(23,1),(53,1),(54,1),(56,1),(77,1),(84,1)}
      38:{1,2,3,5}:{(25,1),(54,1),(55,1),(56,1),(77,1)}
      39:{2,3,6}:{(24,1),(25,1)}
      40:{2,3,4}:{(25,1),(56,1)}
      41:{1,4,5,6}:{(26,1),(30,1),(60,1)}
      42:{2,4,5,6}:{(26,1),(52,1),(61,1)}
      43:{1,2,3,5,6}:{(27,1),(28,1),(33,1),(55,1),(59,1),(62,1),(64,1),(75,1),(77,1),(79,1)}
      44:{1,4,6}:{(27,1),(29,1),(60,1)}
      45:{2,4,6}:{(28,1),(29,1),(61,1)}
      46:{3,4,5}:{(29,1),(60,1),(61,1),(79,1)}
      47:{1,2,5,6}:{(30,1),(31,1),(62,1),(64,1)}
      48:{2,3,6}:{(31,1),(32,1)}
      49:{2,3,4}:{(32,1),(34,1)}
      50:{1,2,4,6}:{(33,1),(34,1),(35,1),(63,1),(64,1)}
      51:{1,3,5}:{(35,1),(60,1),(64,1),(79,1)}
      52:{2,3,5,6}:{(36,1),(42,1),(65,1),(69,1),(70,1)}
      53:{1,2,4,6}:{(36,1),(37,1),(65,1),(66,1),(81,1)}
      54:{1,3,5}:{(37,1),(66,1),(67,1)}
      55:{1,2,3,6}:{(38,1),(39,1),(66,1),(68,1)}
      56:{1,2,4}:{(38,1),(40,1),(67,1)}
      57:{2,3,4,6}:{(39,1),(40,1),(45,1),(68,1),(69,1),(71,1)}
      58:{1,2,4,5,6}:{(41,1),(42,1),(47,1),(65,1),(70,1),(72,1),(73,1),(81,1)}
      59:{1,2,4,6}:{(43,1),(44,1),(45,1),(71,1),(72,1),(73,1),(81,1)}
      60:{1,4,5}:{(44,1),(46,1),(51,1)}
      61:{2,4,5}:{(45,1),(46,1),(69,1)}
      62:{2,3,5,6}:{(47,1),(48,1),(70,1),(73,1),(74,1)}
      63:{2,3,4,6}:{(48,1),(49,1),(50,1),(71,1),(73,1),(74,1)}
      64:{1,2,5}:{(50,1),(51,1),(74,1)}
      65:{1,2,5,6}:{(52,1),(53,1),(75,1),(77,1)}
      66:{1,3,6}:{(53,1),(54,1)}
      67:{1,3,4}:{(54,1),(56,1)}
      68:{1,2,4,6}:{(55,1),(56,1),(57,1),(76,1),(77,1)}
      69:{2,3,5}:{(57,1),(61,1),(77,1),(79,1)}
      70:{3,5,6}:{(58,1),(78,1),(79,1)}
      71:{3,4,6}:{(59,1),(79,1)}
      72:{1,2,4,5}:{(59,1),(60,1),(61,1),(64,1),(77,1),(79,1),(80,1),(84,1)}
      73:{2,4,6}:{(62,1),(78,1),(80,1)}
      74:{2,3,5}:{(63,1),(64,1),(79,1),(80,1)}
      75:{1,3,5,6}:{(65,1),(66,1),(70,1),(81,1),(82,1)}
      76:{1,3,4,6}:{(66,1),(67,1),(68,1),(71,1),(81,1),(82,1)}
      77:{1,2,5}:{(68,1),(69,1),(82,1)}
      78:{3,4,6}:{(70,1),(73,1),(81,1),(83,1)}
      79:{3,5}:{(71,1),(72,1)}
      80:{2,4,5}:{(73,1),(74,1),(83,1)}
      81:{1,4,6}:{(75,1),(78,1),(84,1)}
      82:{1,3,5}:{(76,1),(77,1),(79,1),(84,1)}
      83:{3,4,5}:{(78,1),(79,1),(80,1),(84,1)}
      84:{1,4,5}:{(81,1),(82,1),(83,1)}

504 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(4,1),(5,1)}
       2:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(15,1),(37,1),(38,1)}
       3:{2,3,4,5}:{(4,1),(7,1),(16,1)}
       4:{1,2,4,5}:{(1,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,6}:{(1,1),(9,1)}
       6:{1,2,3,5}:{(2,1),(11,1)}
       7:{2,3,4,6}:{(3,1),(9,1),(12,1),(20,1)}
       8:{1,3,4,5}:{(4,1),(13,1),(16,1)}
       9:{1,2,4,6}:{(4,1),(5,1),(7,1),(13,1),(14,1)}
      10:{1,2,3,5,6}:{(5,1),(6,1),(14,1),(15,1),(25,1),(36,1),(37,1)}
      11:{1,2,4,5}:{(6,1),(15,1),(16,1)}
      12:{2,3,5,6}:{(7,1),(14,1),(17,1),(25,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(18,1),(20,1)}
      14:{1,2,5,6}:{(9,1),(12,1),(18,1)}
      15:{1,2,4,6}:{(10,1),(11,1),(20,1)}
      16:{3,4,5}:{(11,1),(20,1)}
      17:{2,4,5,6}:{(12,1),(23,1)}
      18:{1,3,5,6}:{(13,1),(14,1),(24,1),(25,1)}
      19:{1,2,4,5,6}:{(14,1),(15,1),(17,1),(24,1),(25,1),(29,1),(35,1),(36,1)}
      20:{3,4,6}:{(15,1),(16,1),(25,1)}
      21:{1,3,4,5}:{(16,1),(26,1),(28,1)}
      22:{2,3,4,5}:{(16,1),(27,1),(28,1)}
      23:{3,4,5,6}:{(17,1),(25,1),(29,1)}
      24:{1,4,5,6}:{(18,1),(30,1)}
      25:{3,5,6}:{(19,1),(20,1)}
      26:{1,3,4,6}:{(20,1),(21,1),(31,1),(33,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(32,1),(33,1)}
      28:{1,2,4,5}:{(21,1),(22,1),(33,1),(34,1)}
      29:{1,4,5,6}:{(23,1),(31,1)}
      30:{3,4,5,6}:{(24,1),(25,1),(35,1)}
      31:{1,3,5,6}:{(25,1),(26,1),(29,1),(36,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(35,1),(36,1)}
      33:{1,2,4,6}:{(26,1),(27,1),(28,1),(36,1),(37,1)}
      34:{1,2,3,5}:{(28,1),(37,1),(38,1)}
      35:{2,4,5,6}:{(30,1),(32,1)}
      36:{1,2,5,6}:{(31,1),(32,1),(33,1)}
      37:{1,2,3,6}:{(33,1),(34,1)}
      38:{1,2,3,4}:{(34,1)}

505 :  0:{1,2,3,6}:{(3,1),(4,1),(37,1),(44,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(14,1),(18,1),(37,1)}
       2:{1,3,4,6}:{(4,1),(6,1),(14,1),(20,1),(37,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(23,1),(26,1),(41,1)}
       4:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       5:{2,3,5}:{(1,1),(8,1),(9,1),(26,1)}
       6:{1,3,5}:{(2,1),(8,1),(11,1),(26,1)}
       7:{1,2,4}:{(3,1),(14,1)}
       8:{1,2,5}:{(4,1),(5,1),(6,1)}
       9:{2,4,5}:{(5,1),(17,1),(18,1)}
      10:{2,3,5,6}:{(5,1),(16,1),(18,1),(21,1),(37,1)}
      11:{1,4,5}:{(6,1),(19,1),(20,1)}
      12:{1,3,5,6}:{(6,1),(16,1),(20,1),(33,1),(37,1)}
      13:{2,4,5,6}:{(18,1),(21,1)}
      14:{3,4}:{(7,1),(26,1)}
      15:{1,2,4,5}:{(7,1),(8,1),(9,1),(11,1),(26,1),(27,1),(28,1),(30,1),(41,1)}
      16:{1,2,5,6}:{(8,1),(10,1),(12,1),(27,1),(32,1),(40,1)}
      17:{3,4,5}:{(9,1),(26,1),(28,1),(29,1)}
      18:{2,4,6}:{(9,1),(10,1),(29,1)}
      19:{3,4,5}:{(11,1),(26,1),(30,1),(31,1)}
      20:{1,4,6}:{(11,1),(12,1),(31,1)}
      21:{3,5,6}:{(13,1),(29,1),(32,1)}
      22:{1,4,5,6}:{(20,1),(33,1)}
      23:{1,2,3}:{(34,1)}
      24:{2,3,4}:{(14,1),(34,1),(35,1)}
      25:{1,3,4}:{(14,1),(34,1),(36,1)}
      26:{3,5}:{(14,1),(15,1),(37,1)}
      27:{1,2,4,6}:{(15,1),(16,1),(18,1),(20,1),(37,1),(38,1),(39,1),(44,1)}
      28:{1,4,5}:{(17,1),(36,1),(38,1)}
      29:{3,4,6}:{(17,1),(18,1),(21,1),(37,1),(38,1)}
      30:{2,4,5}:{(19,1),(35,1),(39,1)}
      31:{3,4,6}:{(19,1),(20,1),(33,1),(37,1),(39,1)}
      32:{1,5,6}:{(21,1),(38,1)}
      33:{3,5,6}:{(22,1),(31,1),(40,1)}
      34:{1,2,4}:{(23,1),(24,1),(25,1),(41,1)}
      35:{2,3,5}:{(24,1),(26,1),(30,1),(41,1),(42,1)}
      36:{1,3,5}:{(25,1),(26,1),(28,1),(41,1),(43,1)}
      37:{3,6}:{(26,1),(27,1)}
      38:{1,4,6}:{(28,1),(29,1),(32,1),(43,1)}
      39:{2,4,6}:{(30,1),(31,1),(40,1),(42,1)}
      40:{2,5,6}:{(33,1),(39,1)}
      41:{1,2,5}:{(34,1),(35,1),(36,1),(44,1)}
      42:{2,3,6}:{(35,1),(37,1),(39,1),(44,1)}
      43:{1,3,6}:{(36,1),(37,1),(38,1),(44,1)}
      44:{1,2,6}:{(41,1),(42,1),(43,1)}

506 :  0:{1,2,3,6}:{(3,1),(5,1),(34,1),(36,1)}
       1:{2,3,4,6}:{(5,1),(6,1),(20,1),(22,1),(36,1)}
       2:{2,4,5,6}:{(7,1),(22,1)}
       3:{1,2,3,5}:{(0,1),(8,1),(10,1),(15,1),(27,1),(29,1)}
       4:{3,4,5}:{(11,1),(12,1),(13,1),(29,1)}
       5:{1,2,4,6}:{(0,1),(1,1),(10,1),(14,1),(15,1)}
       6:{2,3,5}:{(1,1),(11,1),(15,1),(29,1)}
       7:{3,5,6}:{(2,1),(13,1),(17,1)}
       8:{1,2,3}:{(18,1)}
       9:{1,3,4}:{(18,1),(19,1),(20,1)}
      10:{1,2,4}:{(3,1),(20,1)}
      11:{2,4,5}:{(4,1),(6,1),(22,1)}
      12:{1,4,5}:{(4,1),(19,1),(23,1)}
      13:{3,4,6}:{(4,1),(7,1),(22,1),(23,1),(36,1)}
      14:{1,3,4,6}:{(5,1),(20,1),(24,1),(36,1),(37,1)}
      15:{1,2,5}:{(5,1),(6,1),(24,1)}
      16:{2,3,5,6}:{(6,1),(7,1),(22,1),(25,1),(36,1)}
      17:{1,5,6}:{(7,1),(23,1)}
      18:{1,2,4}:{(8,1),(9,1),(26,1),(27,1)}
      19:{1,3,5}:{(9,1),(12,1),(27,1),(28,1),(29,1)}
      20:{3,4}:{(10,1),(29,1)}
      21:{1,2,4,5}:{(10,1),(11,1),(12,1),(15,1),(27,1),(29,1),(30,1),(31,1),(38,1)}
      22:{2,4,6}:{(11,1),(13,1),(16,1)}
      23:{1,4,6}:{(12,1),(13,1),(17,1),(28,1)}
      24:{1,3,5}:{(14,1),(15,1),(29,1),(31,1)}
      25:{1,2,5,6}:{(15,1),(16,1),(17,1),(30,1),(32,1),(44,1)}
      26:{2,3,4}:{(18,1),(20,1),(33,1)}
      27:{1,2,5}:{(18,1),(19,1),(33,1),(34,1)}
      28:{1,3,6}:{(19,1),(23,1),(34,1),(36,1)}
      29:{3,5}:{(20,1),(21,1),(36,1)}
      30:{1,2,4,6}:{(21,1),(22,1),(23,1),(25,1),(34,1),(36,1),(37,1),(42,1)}
      31:{1,4,5}:{(24,1),(35,1),(37,1)}
      32:{1,3,5,6}:{(24,1),(25,1),(36,1),(37,1),(43,1)}
      33:{2,3,5}:{(26,1),(27,1),(29,1),(38,1),(39,1)}
      34:{1,2,6}:{(27,1),(28,1),(39,1)}
      35:{3,4,5}:{(29,1),(31,1),(38,1),(40,1)}
      36:{3,6}:{(29,1),(30,1)}
      37:{1,4,6}:{(31,1),(32,1),(40,1)}
      38:{2,4,5}:{(33,1),(35,1),(42,1)}
      39:{2,3,6}:{(33,1),(34,1),(36,1),(42,1)}
      40:{3,4,6}:{(35,1),(36,1),(37,1),(42,1),(43,1)}
      41:{1,4,5,6}:{(37,1),(43,1)}
      42:{2,4,6}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,5,6}:{(40,1),(41,1),(44,1)}
      44:{2,5,6}:{(42,1),(43,1)}

507 :  0:{1,2,4,5,6}:{(1,1),(7,1),(8,1),(9,1),(20,1)}
       1:{3,5,6}:{(0,1),(2,1),(25,1)}
       2:{3,4,6}:{(1,1),(6,1),(7,1),(8,1),(21,1),(28,1)}
       3:{1,3,5,6}:{(1,1),(7,1),(9,1),(18,1),(21,1),(22,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1),(10,1),(21,1),(27,1)}
       5:{2,3,4,6}:{(8,1),(10,1),(11,1),(21,1),(28,1)}
       6:{3,4,5}:{(2,1),(13,1),(14,1),(25,1)}
       7:{1,4,6}:{(2,1),(3,1),(13,1),(26,1)}
       8:{2,4,6}:{(2,1),(4,1),(14,1),(29,1)}
       9:{1,2,5,6}:{(3,1),(4,1),(15,1),(16,1),(23,1)}
      10:{2,3,5}:{(5,1),(14,1),(16,1),(25,1)}
      11:{1,2,4,6}:{(5,1),(16,1),(17,1),(26,1)}
      12:{1,3,4,6}:{(7,1),(18,1),(19,1),(21,1),(28,1)}
      13:{1,4,5}:{(6,1),(7,1),(18,1)}
      14:{2,4,5}:{(6,1),(8,1),(10,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(9,1),(20,1),(21,1)}
      16:{1,2,5}:{(10,1),(11,1),(22,1)}
      17:{1,3,6}:{(11,1),(21,1),(22,1)}
      18:{1,3,5}:{(12,1),(13,1),(23,1),(25,1)}
      19:{1,2,4,6}:{(12,1),(23,1),(24,1),(29,1)}
      20:{1,2,4,5}:{(13,1),(14,1),(15,1),(16,1),(23,1),(25,1),(26,1),(29,1)}
      21:{3,6}:{(15,1),(25,1)}
      22:{1,3,5}:{(16,1),(17,1),(25,1),(26,1)}
      23:{1,2,5}:{(18,1),(19,1),(27,1)}
      24:{2,3,6}:{(19,1),(21,1),(27,1)}
      25:{3,5}:{(20,1),(21,1),(28,1)}
      26:{1,4}:{(22,1),(28,1)}
      27:{2,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{3,4}:{(25,1),(26,1),(29,1)}
      29:{2,4}:{(27,1),(28,1)}

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

509 :  0:{1,2,3,5,6}:{(1,1),(5,1),(16,1),(17,1),(18,1),(19,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(20,1),(21,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(14,1),(15,1),(18,1)}
       3:{3,4,6}:{(1,1),(5,1)}
       4:{1,2,4,5,6}:{(2,1),(9,1),(20,1),(21,1),(23,1)}
       5:{3,5}:{(2,1),(3,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(12,1),(20,1),(28,1),(29,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(21,1),(28,1),(29,1)}
       8:{3,4,5}:{(5,1),(13,1),(14,1),(15,1),(26,1)}
       9:{3,5,6}:{(4,1),(5,1),(13,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(18,1),(26,1)}
      11:{2,3,5}:{(5,1),(7,1),(15,1),(18,1),(26,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1),(19,1),(27,1)}
      13:{3,4,6}:{(8,1),(9,1),(20,1),(21,1),(28,1)}
      14:{1,4,5}:{(8,1),(10,1),(20,1)}
      15:{2,4,5}:{(8,1),(11,1),(21,1)}
      16:{1,3,5,6}:{(9,1),(10,1),(20,1),(23,1),(28,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(21,1),(23,1),(28,1)}
      18:{1,2,5}:{(10,1),(11,1),(12,1)}
      19:{1,2,3,6}:{(12,1),(24,1),(28,1)}
      20:{1,4,6}:{(13,1),(14,1),(16,1)}
      21:{2,4,6}:{(13,1),(15,1),(17,1)}
      22:{1,2,4,5}:{(14,1),(15,1),(18,1),(25,1),(26,1),(27,1)}
      23:{1,2,5,6}:{(16,1),(17,1),(18,1),(25,1)}
      24:{1,2,3,5}:{(18,1),(19,1),(26,1),(27,1)}
      25:{1,2,4,6}:{(20,1),(21,1),(22,1),(23,1),(28,1)}
      26:{3,5}:{(22,1),(28,1),(29,1)}
      27:{1,2,4}:{(24,1),(29,1)}
      28:{3,6}:{(25,1),(26,1)}
      29:{3,4}:{(26,1),(27,1)}

510 :  0:{1,2,3,4,6}:{(1,1),(4,1),(22,1),(23,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(10,1),(21,1),(22,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{3,4,5}:{(3,1),(7,1)}
       6:{1,2,4,5,6}:{(4,1),(10,1),(19,1),(20,1),(21,1)}
       7:{3,4,6}:{(4,1),(5,1),(10,1)}
       8:{1,3,4,5}:{(5,1),(11,1),(13,1),(32,1)}
       9:{2,3,4,5}:{(5,1),(12,1),(13,1),(32,1)}
      10:{3,5,6}:{(6,1),(7,1)}
      11:{1,3,4,6}:{(7,1),(8,1),(15,1),(17,1),(30,1)}
      12:{2,3,4,6}:{(7,1),(9,1),(16,1),(17,1),(30,1)}
      13:{1,2,4,5}:{(8,1),(9,1),(17,1),(18,1)}
      14:{3,4,5,6}:{(10,1),(19,1),(20,1),(27,1)}
      15:{1,3,5,6}:{(10,1),(11,1),(19,1),(21,1),(27,1)}
      16:{2,3,5,6}:{(10,1),(12,1),(20,1),(21,1),(27,1)}
      17:{1,2,4,6}:{(11,1),(12,1),(13,1),(21,1),(22,1)}
      18:{1,2,3,5}:{(13,1),(22,1),(23,1)}
      19:{1,4,5,6}:{(14,1),(15,1)}
      20:{2,4,5,6}:{(14,1),(16,1)}
      21:{1,2,5,6}:{(15,1),(16,1),(17,1)}
      22:{1,2,3,6}:{(17,1),(18,1)}
      23:{1,2,3,4}:{(18,1)}
      24:{1,2,4,5,6}:{(19,1),(20,1),(21,1),(27,1),(28,1)}
      25:{1,2,3,5,6}:{(21,1),(22,1),(27,1),(28,1),(29,1)}
      26:{1,2,3,4,6}:{(22,1),(23,1),(28,1),(29,1)}
      27:{3,5,6}:{(24,1),(30,1)}
      28:{1,2,4,6}:{(25,1),(30,1),(31,1)}
      29:{1,2,3,5}:{(26,1),(31,1)}
      30:{3,4,6}:{(27,1),(28,1),(32,1)}
      31:{1,2,4,5}:{(28,1),(29,1),(32,1)}
      32:{3,4,5}:{(30,1),(31,1)}

511 : 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:{3,4,5}:{(2,1),(6,1)}
      5:{1,2,4,6}:{(2,1),(3,1),(6,1),(7,1)}
      6:{3,4,6}:{(4,1),(5,1),(8,1)}
      7:{1,2,5,6}:{(5,1),(8,1)}
      8:{3,5,6}:{(6,1),(7,1),(9,1)}
      9:{4,5,6}:{(8,1)}

512 :  0:{2,3,4,5}:{(3,1),(4,1),(22,1)}
       1:{1,3,4,5}:{(3,1),(5,1),(22,1)}
       2:{1,2,3,4}:{(6,1)}
       3:{1,2,4,5}:{(0,1),(1,1),(6,1),(8,1)}
       4:{2,3,4,6}:{(0,1),(8,1),(9,1),(26,1)}
       5:{1,3,4,6}:{(1,1),(8,1),(10,1),(26,1)}
       6:{1,2,3,5}:{(2,1),(3,1),(11,1)}
       7:{1,2,3,4,6}:{(2,1),(11,1),(12,1),(21,1),(37,1),(38,1)}
       8:{1,2,4,6}:{(3,1),(4,1),(5,1),(11,1),(13,1)}
       9:{2,3,5,6}:{(4,1),(13,1),(14,1),(23,1)}
      10:{1,3,5,6}:{(5,1),(13,1),(15,1),(23,1)}
      11:{1,2,3,6}:{(6,1),(8,1)}
      12:{1,2,3,5}:{(7,1),(17,1)}
      13:{1,2,5,6}:{(8,1),(9,1),(10,1)}
      14:{2,4,5,6}:{(9,1),(19,1)}
      15:{1,4,5,6}:{(10,1),(20,1)}
      16:{1,2,3,5,6}:{(11,1),(12,1),(13,1),(21,1),(23,1),(34,1),(37,1)}
      17:{1,2,4,5}:{(12,1),(21,1),(22,1)}
      18:{1,2,4,5,6}:{(13,1),(14,1),(15,1),(21,1),(23,1),(24,1),(25,1),(34,1)}
      19:{3,4,5,6}:{(14,1),(23,1),(24,1)}
      20:{3,4,5,6}:{(15,1),(23,1),(25,1)}
      21:{1,2,4,6}:{(16,1),(17,1),(26,1)}
      22:{3,4,5}:{(17,1),(26,1)}
      23:{3,5,6}:{(18,1),(26,1)}
      24:{1,4,5,6}:{(19,1),(29,1)}
      25:{2,4,5,6}:{(20,1),(30,1)}
      26:{3,4,6}:{(21,1),(22,1),(23,1)}
      27:{1,3,4,5}:{(22,1),(31,1),(33,1)}
      28:{2,3,4,5}:{(22,1),(32,1),(33,1)}
      29:{1,3,5,6}:{(23,1),(24,1),(31,1),(34,1)}
      30:{2,3,5,6}:{(23,1),(25,1),(32,1),(34,1)}
      31:{1,3,4,6}:{(26,1),(27,1),(29,1),(35,1)}
      32:{2,3,4,6}:{(26,1),(28,1),(30,1),(35,1)}
      33:{1,2,4,5}:{(27,1),(28,1),(35,1),(36,1)}
      34:{1,2,5,6}:{(29,1),(30,1),(35,1)}
      35:{1,2,4,6}:{(31,1),(32,1),(33,1),(34,1),(37,1)}
      36:{1,2,3,5}:{(33,1),(37,1),(38,1)}
      37:{1,2,3,6}:{(35,1),(36,1)}
      38:{1,2,3,4}:{(36,1)}

513 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(5,1),(6,1)}
       2:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(16,1),(37,1),(38,1)}
       3:{1,3,4,5}:{(5,1),(8,1),(17,1)}
       4:{2,3,4,5}:{(5,1),(9,1),(17,1)}
       5:{1,2,4,5}:{(1,1),(3,1),(4,1),(10,1)}
       6:{1,2,3,6}:{(1,1),(10,1)}
       7:{1,2,3,5}:{(2,1),(12,1)}
       8:{1,3,4,6}:{(3,1),(10,1),(13,1),(21,1)}
       9:{2,3,4,6}:{(4,1),(10,1),(14,1),(21,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(8,1),(9,1),(15,1)}
      11:{1,2,3,5,6}:{(6,1),(7,1),(15,1),(16,1),(26,1),(36,1),(37,1)}
      12:{1,2,4,5}:{(7,1),(16,1),(17,1)}
      13:{1,3,5,6}:{(8,1),(15,1),(18,1),(26,1)}
      14:{2,3,5,6}:{(9,1),(15,1),(19,1),(26,1)}
      15:{1,2,5,6}:{(10,1),(13,1),(14,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(21,1)}
      17:{3,4,5}:{(12,1),(21,1)}
      18:{1,4,5,6}:{(13,1),(24,1)}
      19:{2,4,5,6}:{(14,1),(25,1)}
      20:{1,2,4,5,6}:{(15,1),(16,1),(18,1),(19,1),(26,1),(30,1),(31,1),(36,1)}
      21:{3,4,6}:{(16,1),(17,1),(26,1)}
      22:{1,3,4,5}:{(17,1),(27,1),(29,1)}
      23:{2,3,4,5}:{(17,1),(28,1),(29,1)}
      24:{3,4,5,6}:{(18,1),(26,1),(30,1)}
      25:{3,4,5,6}:{(19,1),(26,1),(31,1)}
      26:{3,5,6}:{(20,1),(21,1)}
      27:{1,3,4,6}:{(21,1),(22,1),(32,1),(34,1)}
      28:{2,3,4,6}:{(21,1),(23,1),(33,1),(34,1)}
      29:{1,2,4,5}:{(22,1),(23,1),(34,1),(35,1)}
      30:{2,4,5,6}:{(24,1),(33,1)}
      31:{1,4,5,6}:{(25,1),(32,1)}
      32:{1,3,5,6}:{(26,1),(27,1),(31,1),(36,1)}
      33:{2,3,5,6}:{(26,1),(28,1),(30,1),(36,1)}
      34:{1,2,4,6}:{(27,1),(28,1),(29,1),(36,1),(37,1)}
      35:{1,2,3,5}:{(29,1),(37,1),(38,1)}
      36:{1,2,5,6}:{(32,1),(33,1),(34,1)}
      37:{1,2,3,6}:{(34,1),(35,1)}
      38:{1,2,3,4}:{(35,1)}

514 :  0:{1,2,3,6}:{(3,1),(4,1),(38,1),(44,1)}
       1:{2,3,4,6}:{(4,1),(5,1),(15,1),(19,1),(38,1)}
       2:{1,3,4,6}:{(4,1),(6,1),(15,1),(21,1),(38,1)}
       3:{1,2,3,5}:{(0,1),(7,1),(8,1),(24,1),(27,1),(41,1)}
       4:{1,2,4,6}:{(0,1),(1,1),(2,1),(7,1),(8,1)}
       5:{2,3,5}:{(1,1),(8,1),(9,1),(27,1)}
       6:{1,3,5}:{(2,1),(8,1),(11,1),(27,1)}
       7:{1,2,4}:{(3,1),(15,1)}
       8:{1,2,5}:{(4,1),(5,1),(6,1)}
       9:{2,4,5}:{(5,1),(18,1),(19,1)}
      10:{2,3,5,6}:{(5,1),(17,1),(19,1),(23,1),(38,1)}
      11:{1,4,5}:{(6,1),(20,1),(21,1)}
      12:{1,3,5,6}:{(6,1),(17,1),(21,1),(22,1),(38,1)}
      13:{1,4,5,6}:{(21,1),(22,1)}
      14:{2,4,5,6}:{(19,1),(23,1)}
      15:{3,4}:{(7,1),(27,1)}
      16:{1,2,4,5}:{(7,1),(8,1),(9,1),(11,1),(27,1),(28,1),(29,1),(31,1),(41,1)}
      17:{1,2,5,6}:{(8,1),(10,1),(12,1),(28,1),(33,1),(34,1)}
      18:{3,4,5}:{(9,1),(27,1),(29,1),(30,1)}
      19:{2,4,6}:{(9,1),(10,1),(30,1)}
      20:{3,4,5}:{(11,1),(27,1),(31,1),(32,1)}
      21:{1,4,6}:{(11,1),(12,1),(32,1)}
      22:{3,5,6}:{(13,1),(32,1),(33,1)}
      23:{3,5,6}:{(14,1),(30,1),(34,1)}
      24:{1,2,3}:{(35,1)}
      25:{2,3,4}:{(15,1),(35,1),(36,1)}
      26:{1,3,4}:{(15,1),(35,1),(37,1)}
      27:{3,5}:{(15,1),(16,1),(38,1)}
      28:{1,2,4,6}:{(16,1),(17,1),(19,1),(21,1),(38,1),(39,1),(40,1),(44,1)}
      29:{1,4,5}:{(18,1),(37,1),(39,1)}
      30:{3,4,6}:{(18,1),(19,1),(23,1),(38,1),(39,1)}
      31:{2,4,5}:{(20,1),(36,1),(40,1)}
      32:{3,4,6}:{(20,1),(21,1),(22,1),(38,1),(40,1)}
      33:{2,5,6}:{(22,1),(40,1)}
      34:{1,5,6}:{(23,1),(39,1)}
      35:{1,2,4}:{(24,1),(25,1),(26,1),(41,1)}
      36:{2,3,5}:{(25,1),(27,1),(31,1),(41,1),(42,1)}
      37:{1,3,5}:{(26,1),(27,1),(29,1),(41,1),(43,1)}
      38:{3,6}:{(27,1),(28,1)}
      39:{1,4,6}:{(29,1),(30,1),(34,1),(43,1)}
      40:{2,4,6}:{(31,1),(32,1),(33,1),(42,1)}
      41:{1,2,5}:{(35,1),(36,1),(37,1),(44,1)}
      42:{2,3,6}:{(36,1),(38,1),(40,1),(44,1)}
      43:{1,3,6}:{(37,1),(38,1),(39,1),(44,1)}
      44:{1,2,6}:{(41,1),(42,1),(43,1)}

515 :  0:{3,4,5,6}:{(3,1),(4,1),(20,1),(39,1)}
       1:{2,3,4,5}:{(5,1),(6,1),(25,1),(39,1),(42,1)}
       2:{1,3,4,5}:{(7,1),(8,1),(23,1),(39,1),(41,1)}
       3:{1,4,5,6}:{(0,1),(11,1),(44,1)}
       4:{2,4,5,6}:{(0,1),(10,1),(45,1)}
       5:{2,3,4,6}:{(1,1),(10,1),(13,1),(30,1)}
       6:{1,2,4,5}:{(1,1),(13,1),(14,1),(32,1),(44,1),(46,1)}
       7:{1,3,4,6}:{(2,1),(11,1),(15,1),(30,1)}
       8:{1,2,4,5}:{(2,1),(15,1),(16,1),(32,1),(45,1),(46,1)}
       9:{1,2,3,5,6}:{(17,1),(28,1),(29,1),(31,1),(35,1),(46,1)}
      10:{2,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(42,1)}
      11:{1,3,5,6}:{(3,1),(7,1),(19,1),(20,1),(41,1)}
      12:{1,2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(20,1),(27,1),(37,1),(38,1),(48,1)}
      13:{1,2,4,6}:{(5,1),(6,1),(18,1),(22,1),(37,1)}
      14:{1,3,5}:{(6,1),(22,1),(23,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(19,1),(24,1),(38,1)}
      16:{2,3,5}:{(8,1),(24,1),(25,1)}
      17:{1,2,4,6}:{(9,1),(26,1),(27,1),(37,1),(38,1)}
      18:{1,2,5,6}:{(10,1),(13,1),(28,1),(46,1)}
      19:{1,2,5,6}:{(11,1),(15,1),(29,1),(46,1)}
      20:{3,5,6}:{(12,1),(30,1),(35,1),(49,1)}
      21:{1,2,3,5}:{(14,1),(16,1),(31,1),(32,1),(46,1)}
      22:{1,3,6}:{(13,1),(14,1)}
      23:{1,3,4}:{(14,1),(32,1)}
      24:{2,3,6}:{(15,1),(16,1)}
      25:{2,3,4}:{(16,1),(32,1)}
      26:{3,4,6}:{(17,1),(35,1)}
      27:{1,2,4,5}:{(17,1),(35,1),(44,1),(45,1),(46,1)}
      28:{1,3,5,6}:{(18,1),(20,1),(22,1),(37,1),(41,1)}
      29:{2,3,5,6}:{(19,1),(20,1),(24,1),(38,1),(42,1)}
      30:{3,4,6}:{(20,1),(37,1),(38,1),(39,1)}
      31:{1,2,3,6}:{(21,1),(22,1),(24,1),(40,1)}
      32:{1,2,4}:{(21,1),(23,1),(25,1)}
      33:{1,3,4,6}:{(22,1),(23,1),(26,1),(37,1),(40,1),(41,1),(47,1)}
      34:{2,3,4,6}:{(24,1),(25,1),(26,1),(38,1),(40,1),(42,1),(47,1)}
      35:{3,5}:{(26,1),(27,1)}
      36:{1,2,3,5,6}:{(28,1),(29,1),(31,1),(43,1),(46,1),(49,1)}
      37:{1,4,6}:{(28,1),(30,1),(44,1)}
      38:{2,4,6}:{(29,1),(30,1),(45,1)}
      39:{3,4,5}:{(30,1),(35,1),(44,1),(45,1),(49,1)}
      40:{1,2,4,6}:{(31,1),(32,1),(33,1),(34,1),(46,1)}
      41:{1,3,5}:{(33,1),(35,1),(44,1),(46,1),(49,1)}
      42:{2,3,5}:{(34,1),(35,1),(45,1),(46,1),(49,1)}
      43:{1,2,4,6}:{(36,1),(37,1),(38,1),(47,1),(48,1)}
      44:{1,4,5}:{(37,1),(39,1),(41,1)}
      45:{2,4,5}:{(38,1),(39,1),(42,1)}
      46:{1,2,5}:{(40,1),(41,1),(42,1)}
      47:{3,4,6}:{(43,1),(49,1)}
      48:{1,2,4,5}:{(43,1),(44,1),(45,1),(46,1),(49,1)}
      49:{3,5}:{(47,1),(48,1)}

516 :  0:{1,2,3,4,6}:{(1,1),(4,1),(6,1),(15,1)}
       1:{1,2,3,5}:{(0,1),(2,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(15,1),(18,1),(29,1)}
       4:{1,2,3,4}:{(8,1)}
       5:{3,4,5}:{(2,1),(11,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(11,1)}
       7:{1,2,3,4,6}:{(4,1),(13,1),(15,1),(26,1)}
       8:{1,2,3,5}:{(4,1),(14,1),(15,1)}
       9:{1,3,4,5}:{(5,1),(14,1),(16,1),(25,1)}
      10:{2,3,4,5}:{(5,1),(14,1),(17,1),(25,1)}
      11:{3,4,6}:{(5,1),(6,1),(18,1)}
      12:{1,2,4,5,6}:{(6,1),(18,1),(27,1),(28,1),(29,1)}
      13:{1,2,3,5}:{(7,1),(19,1)}
      14:{1,2,4,5}:{(8,1),(9,1),(10,1),(22,1)}
      15:{1,2,3,6}:{(8,1),(22,1)}
      16:{1,3,4,6}:{(9,1),(11,1),(22,1),(23,1),(30,1)}
      17:{2,3,4,6}:{(10,1),(11,1),(22,1),(24,1),(30,1)}
      18:{3,5,6}:{(11,1),(12,1)}
      19:{1,2,4,5}:{(13,1),(25,1),(26,1)}
      20:{1,2,3,5,6}:{(13,1),(15,1),(26,1),(29,1),(32,1)}
      21:{3,4,5,6}:{(18,1),(27,1),(28,1),(32,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(16,1),(17,1),(29,1)}
      23:{1,3,5,6}:{(16,1),(18,1),(27,1),(29,1),(32,1)}
      24:{2,3,5,6}:{(17,1),(18,1),(28,1),(29,1),(32,1)}
      25:{3,4,5}:{(19,1),(30,1)}
      26:{1,2,4,6}:{(19,1),(20,1),(30,1)}
      27:{1,4,5,6}:{(21,1),(23,1)}
      28:{2,4,5,6}:{(21,1),(24,1)}
      29:{1,2,5,6}:{(22,1),(23,1),(24,1)}
      30:{3,4,6}:{(25,1),(26,1),(32,1)}
      31:{1,2,4,5,6}:{(26,1),(27,1),(28,1),(29,1),(32,1)}
      32:{3,5,6}:{(30,1),(31,1)}

517 : 0:{2,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{1,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{1,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{1,3,4,5}:{(4,1),(8,1)}
      7:{2,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{2,3,5}:{(7,1),(8,1)}

518 :  0:{1,2,3,4}:{(2,1)}
       1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(16,1),(26,1),(38,1)}
       2:{1,2,3,5}:{(0,1),(4,1),(6,1)}
       3:{1,3,4,5}:{(4,1),(7,1),(15,1)}
       4:{1,2,4,5}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1)}
       6:{1,2,3,6}:{(2,1),(9,1)}
       7:{1,3,4,6}:{(3,1),(9,1),(12,1),(22,1)}
       8:{2,3,4,5}:{(4,1),(13,1),(15,1)}
       9:{1,2,4,6}:{(4,1),(6,1),(7,1),(13,1),(14,1)}
      10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
      11:{1,2,3,5,6}:{(5,1),(6,1),(14,1),(16,1),(25,1),(37,1),(38,1)}
      12:{1,3,5,6}:{(7,1),(14,1),(17,1),(25,1)}
      13:{2,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
      14:{1,2,5,6}:{(9,1),(12,1),(18,1)}
      15:{3,4,5}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(10,1),(11,1),(22,1)}
      17:{1,4,5,6}:{(12,1),(23,1)}
      18:{2,3,5,6}:{(13,1),(14,1),(24,1),(25,1)}
      19:{1,2,4,5,6}:{(14,1),(16,1),(17,1),(24,1),(25,1),(30,1),(36,1),(37,1)}
      20:{2,3,4,5}:{(15,1),(27,1),(28,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(29,1)}
      22:{3,4,6}:{(15,1),(16,1),(25,1)}
      23:{3,4,5,6}:{(17,1),(25,1),(30,1)}
      24:{2,4,5,6}:{(18,1),(31,1)}
      25:{3,5,6}:{(19,1),(22,1)}
      26:{1,2,3,4}:{(34,1)}
      27:{1,2,4,5}:{(20,1),(21,1),(34,1),(35,1)}
      28:{2,3,4,6}:{(20,1),(22,1),(32,1),(35,1)}
      29:{1,3,4,6}:{(21,1),(22,1),(33,1),(35,1)}
      30:{2,4,5,6}:{(23,1),(32,1)}
      31:{3,4,5,6}:{(24,1),(25,1),(36,1)}
      32:{2,3,5,6}:{(25,1),(28,1),(30,1),(37,1)}
      33:{1,3,5,6}:{(25,1),(29,1),(36,1),(37,1)}
      34:{1,2,3,5}:{(26,1),(27,1),(38,1)}
      35:{1,2,4,6}:{(27,1),(28,1),(29,1),(37,1),(38,1)}
      36:{1,4,5,6}:{(31,1),(33,1)}
      37:{1,2,5,6}:{(32,1),(33,1),(35,1)}
      38:{1,2,3,6}:{(34,1),(35,1)}

519 : 0:{1,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{2,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{2,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{2,3,4,5}:{(4,1),(8,1)}
      7:{1,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{1,3,5}:{(7,1),(8,1)}

520 :  0:{1,2,3,4}:{(2,1)}
       1:{1,2,3,4,6}:{(0,1),(5,1),(6,1),(16,1),(26,1),(38,1)}
       2:{1,2,3,5}:{(0,1),(4,1),(6,1)}
       3:{2,3,4,5}:{(4,1),(7,1),(15,1)}
       4:{1,2,4,5}:{(2,1),(3,1),(8,1),(9,1)}
       5:{1,2,3,5}:{(1,1),(10,1)}
       6:{1,2,3,6}:{(2,1),(9,1)}
       7:{2,3,4,6}:{(3,1),(9,1),(12,1),(22,1)}
       8:{1,3,4,5}:{(4,1),(13,1),(15,1)}
       9:{1,2,4,6}:{(4,1),(6,1),(7,1),(13,1),(14,1)}
      10:{1,2,4,5}:{(5,1),(15,1),(16,1)}
      11:{1,2,3,5,6}:{(5,1),(6,1),(14,1),(16,1),(25,1),(37,1),(38,1)}
      12:{2,3,5,6}:{(7,1),(14,1),(17,1),(25,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(18,1),(22,1)}
      14:{1,2,5,6}:{(9,1),(12,1),(18,1)}
      15:{3,4,5}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(10,1),(11,1),(22,1)}
      17:{2,4,5,6}:{(12,1),(23,1)}
      18:{1,3,5,6}:{(13,1),(14,1),(24,1),(25,1)}
      19:{1,2,4,5,6}:{(14,1),(16,1),(17,1),(24,1),(25,1),(30,1),(36,1),(37,1)}
      20:{2,3,4,5}:{(15,1),(27,1),(28,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(29,1)}
      22:{3,4,6}:{(15,1),(16,1),(25,1)}
      23:{3,4,5,6}:{(17,1),(25,1),(30,1)}
      24:{1,4,5,6}:{(18,1),(31,1)}
      25:{3,5,6}:{(19,1),(22,1)}
      26:{1,2,3,4}:{(34,1)}
      27:{1,2,4,5}:{(20,1),(21,1),(34,1),(35,1)}
      28:{2,3,4,6}:{(20,1),(22,1),(32,1),(35,1)}
      29:{1,3,4,6}:{(21,1),(22,1),(33,1),(35,1)}
      30:{1,4,5,6}:{(23,1),(33,1)}
      31:{3,4,5,6}:{(24,1),(25,1),(36,1)}
      32:{2,3,5,6}:{(25,1),(28,1),(36,1),(37,1)}
      33:{1,3,5,6}:{(25,1),(29,1),(30,1),(37,1)}
      34:{1,2,3,5}:{(26,1),(27,1),(38,1)}
      35:{1,2,4,6}:{(27,1),(28,1),(29,1),(37,1),(38,1)}
      36:{2,4,5,6}:{(31,1),(32,1)}
      37:{1,2,5,6}:{(32,1),(33,1),(35,1)}
      38:{1,2,3,6}:{(34,1),(35,1)}

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

522 :  0:{1,2,3,5,6}:{(1,1),(4,1),(7,1),(19,1),(20,1),(21,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(24,1),(25,1)}
       2:{3,4,6}:{(1,1),(7,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(16,1),(17,1),(19,1)}
       4:{1,2,3,6}:{(9,1),(11,1),(29,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(22,1),(24,1),(29,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(13,1),(22,1),(25,1),(29,1)}
       7:{3,5}:{(2,1),(3,1)}
       8:{1,2,4,5,6}:{(3,1),(14,1),(24,1),(25,1),(26,1)}
       9:{1,2,3,5}:{(4,1),(15,1),(19,1),(27,1)}
      10:{3,4,5}:{(7,1),(16,1),(17,1),(18,1),(27,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(6,1),(15,1),(19,1)}
      12:{2,3,5}:{(5,1),(7,1),(16,1),(19,1),(27,1)}
      13:{1,3,5}:{(6,1),(7,1),(17,1),(19,1),(27,1)}
      14:{3,5,6}:{(7,1),(8,1),(18,1)}
      15:{1,2,4}:{(9,1),(22,1)}
      16:{2,4,5}:{(10,1),(12,1),(24,1)}
      17:{1,4,5}:{(10,1),(13,1),(25,1)}
      18:{3,4,6}:{(10,1),(14,1),(24,1),(25,1),(29,1)}
      19:{1,2,5}:{(11,1),(12,1),(13,1)}
      20:{2,3,5,6}:{(12,1),(14,1),(24,1),(26,1),(29,1)}
      21:{1,3,5,6}:{(13,1),(14,1),(25,1),(26,1),(29,1)}
      22:{3,4}:{(15,1),(27,1)}
      23:{1,2,4,5}:{(15,1),(16,1),(17,1),(19,1),(27,1),(28,1)}
      24:{2,4,6}:{(16,1),(18,1),(20,1)}
      25:{1,4,6}:{(17,1),(18,1),(21,1)}
      26:{1,2,5,6}:{(19,1),(20,1),(21,1),(28,1)}
      27:{3,5}:{(22,1),(23,1),(29,1)}
      28:{1,2,4,6}:{(23,1),(24,1),(25,1),(26,1),(29,1)}
      29:{3,6}:{(27,1),(28,1)}

523 :  0:{1,2,3,5,6}:{(2,1),(7,1),(8,1),(9,1),(22,1),(23,1)}
       1:{1,2,4,5,6}:{(3,1),(4,1),(13,1),(14,1),(15,1)}
       2:{1,2,4,6}:{(0,1),(4,1),(5,1),(13,1),(14,1)}
       3:{3,5,6}:{(1,1),(6,1),(9,1)}
       4:{1,2,4,5}:{(2,1),(9,1),(19,1),(20,1),(22,1)}
       5:{3,4,6}:{(2,1),(9,1)}
       6:{3,4,6}:{(3,1),(12,1),(13,1),(14,1),(25,1)}
       7:{1,3,5,6}:{(3,1),(13,1),(15,1),(16,1),(25,1)}
       8:{2,3,5,6}:{(3,1),(14,1),(15,1),(17,1),(25,1)}
       9:{3,5}:{(4,1),(5,1)}
      10:{1,3,4,6}:{(5,1),(13,1),(16,1),(18,1),(25,1),(29,1)}
      11:{2,3,4,6}:{(5,1),(14,1),(17,1),(18,1),(25,1),(29,1)}
      12:{3,4,5}:{(6,1),(9,1),(19,1),(20,1),(27,1)}
      13:{1,4,6}:{(6,1),(7,1),(19,1)}
      14:{2,4,6}:{(6,1),(8,1),(20,1)}
      15:{1,2,5,6}:{(7,1),(8,1),(21,1),(22,1)}
      16:{1,3,5}:{(9,1),(10,1),(19,1),(22,1),(27,1)}
      17:{2,3,5}:{(9,1),(11,1),(20,1),(22,1),(27,1)}
      18:{1,2,4,6}:{(10,1),(11,1),(22,1),(23,1),(28,1)}
      19:{1,4,5}:{(12,1),(13,1),(16,1)}
      20:{2,4,5}:{(12,1),(14,1),(17,1)}
      21:{1,2,4,6}:{(13,1),(14,1),(15,1),(24,1),(25,1)}
      22:{1,2,5}:{(16,1),(17,1),(18,1)}
      23:{1,2,3,6}:{(18,1),(25,1),(26,1)}
      24:{1,2,4,5}:{(19,1),(20,1),(21,1),(22,1),(27,1),(28,1)}
      25:{3,6}:{(21,1),(27,1)}
      26:{1,2,3,5}:{(22,1),(23,1),(27,1),(28,1)}
      27:{3,5}:{(24,1),(25,1),(29,1)}
      28:{1,2,4}:{(26,1),(29,1)}
      29:{3,4}:{(27,1),(28,1)}

524 :  0:{1,2,3,4,6}:{(1,1),(5,1),(11,1),(25,1)}
       1:{1,2,3,5}:{(0,1),(2,1)}
       2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       3:{1,2,3,5,6}:{(1,1),(5,1),(10,1),(24,1),(25,1)}
       4:{3,4,5}:{(2,1),(9,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(9,1)}
       6:{1,2,4,5,6}:{(5,1),(10,1),(21,1),(22,1),(24,1)}
       7:{2,3,4,5}:{(4,1),(12,1),(13,1),(29,1)}
       8:{1,3,4,5}:{(4,1),(12,1),(14,1),(29,1)}
       9:{3,4,6}:{(4,1),(5,1),(10,1)}
      10:{3,5,6}:{(6,1),(9,1)}
      11:{1,2,3,4}:{(19,1)}
      12:{1,2,4,5}:{(7,1),(8,1),(19,1),(20,1)}
      13:{2,3,4,6}:{(7,1),(9,1),(17,1),(20,1),(32,1)}
      14:{1,3,4,6}:{(8,1),(9,1),(18,1),(20,1),(32,1)}
      15:{3,4,5,6}:{(10,1),(21,1),(22,1),(30,1)}
      16:{1,2,3,4,6}:{(11,1),(23,1),(25,1),(31,1)}
      17:{2,3,5,6}:{(10,1),(13,1),(21,1),(24,1),(30,1)}
      18:{1,3,5,6}:{(10,1),(14,1),(22,1),(24,1),(30,1)}
      19:{1,2,3,5}:{(11,1),(12,1),(25,1)}
      20:{1,2,4,6}:{(12,1),(13,1),(14,1),(24,1),(25,1)}
      21:{2,4,5,6}:{(15,1),(17,1)}
      22:{1,4,5,6}:{(15,1),(18,1)}
      23:{1,2,3,5}:{(16,1),(27,1)}
      24:{1,2,5,6}:{(17,1),(18,1),(20,1)}
      25:{1,2,3,6}:{(19,1),(20,1)}
      26:{1,2,4,5,6}:{(21,1),(22,1),(24,1),(30,1),(31,1)}
      27:{1,2,4,5}:{(23,1),(29,1),(31,1)}
      28:{1,2,3,5,6}:{(23,1),(24,1),(25,1),(30,1),(31,1)}
      29:{3,4,5}:{(27,1),(32,1)}
      30:{3,5,6}:{(26,1),(32,1)}
      31:{1,2,4,6}:{(27,1),(28,1),(32,1)}
      32:{3,4,6}:{(29,1),(30,1),(31,1)}

525 : 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:{3,4,5}:{(2,1),(6,1)}
      5:{1,2,4,6}:{(2,1),(3,1),(6,1),(7,1)}
      6:{3,4,6}:{(4,1),(5,1),(8,1)}
      7:{1,2,5,6}:{(5,1),(8,1)}
      8:{3,5,6}:{(6,1),(7,1),(9,1)}
      9:{4,5,6}:{(8,1)}

526 : 0:{1,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{2,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{2,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{2,3,4,5}:{(4,1),(8,1)}
      7:{1,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{1,3,5}:{(7,1),(8,1)}

527 :  0:{2,3,4,5}:{(3,1),(4,1),(21,1)}
       1:{1,3,4,5}:{(3,1),(5,1),(21,1)}
       2:{1,2,3,4}:{(7,1)}
       3:{1,2,4,5}:{(0,1),(1,1),(7,1),(8,1)}
       4:{2,3,4,6}:{(0,1),(8,1),(9,1),(28,1)}
       5:{1,3,4,6}:{(1,1),(8,1),(10,1),(28,1)}
       6:{1,2,3,4,6}:{(2,1),(11,1),(12,1),(22,1),(31,1),(38,1)}
       7:{1,2,3,5}:{(2,1),(3,1),(12,1)}
       8:{1,2,4,6}:{(3,1),(4,1),(5,1),(12,1),(13,1)}
       9:{2,3,5,6}:{(4,1),(13,1),(14,1),(23,1)}
      10:{1,3,5,6}:{(5,1),(13,1),(15,1),(23,1)}
      11:{1,2,3,5}:{(6,1),(16,1)}
      12:{1,2,3,6}:{(7,1),(8,1)}
      13:{1,2,5,6}:{(8,1),(9,1),(10,1)}
      14:{2,4,5,6}:{(9,1),(19,1)}
      15:{1,4,5,6}:{(10,1),(20,1)}
      16:{1,2,4,5}:{(11,1),(21,1),(22,1)}
      17:{1,2,3,5,6}:{(11,1),(12,1),(13,1),(22,1),(23,1),(35,1),(38,1)}
      18:{1,2,4,5,6}:{(13,1),(14,1),(15,1),(22,1),(23,1),(24,1),(25,1),(35,1)}
      19:{3,4,5,6}:{(14,1),(23,1),(24,1)}
      20:{3,4,5,6}:{(15,1),(23,1),(25,1)}
      21:{3,4,5}:{(16,1),(28,1)}
      22:{1,2,4,6}:{(16,1),(17,1),(28,1)}
      23:{3,5,6}:{(18,1),(28,1)}
      24:{1,4,5,6}:{(19,1),(30,1)}
      25:{2,4,5,6}:{(20,1),(29,1)}
      26:{2,3,4,5}:{(21,1),(32,1),(33,1)}
      27:{1,3,4,5}:{(21,1),(32,1),(34,1)}
      28:{3,4,6}:{(21,1),(22,1),(23,1)}
      29:{2,3,5,6}:{(23,1),(25,1),(33,1),(35,1)}
      30:{1,3,5,6}:{(23,1),(24,1),(34,1),(35,1)}
      31:{1,2,3,4}:{(36,1)}
      32:{1,2,4,5}:{(26,1),(27,1),(36,1),(37,1)}
      33:{2,3,4,6}:{(26,1),(28,1),(29,1),(37,1)}
      34:{1,3,4,6}:{(27,1),(28,1),(30,1),(37,1)}
      35:{1,2,5,6}:{(29,1),(30,1),(37,1)}
      36:{1,2,3,5}:{(31,1),(32,1),(38,1)}
      37:{1,2,4,6}:{(32,1),(33,1),(34,1),(35,1),(38,1)}
      38:{1,2,3,6}:{(36,1),(37,1)}

528 : 0:{2,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{1,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{1,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{1,3,4,5}:{(4,1),(8,1)}
      7:{2,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{2,3,5}:{(7,1),(8,1)}

529 :  0:{1,2,3,4}:{(2,1)}
       1:{1,2,3,4,6}:{(0,1),(6,1),(7,1),(17,1),(27,1),(38,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(7,1)}
       3:{1,3,4,5}:{(5,1),(8,1),(16,1)}
       4:{2,3,4,5}:{(5,1),(9,1),(16,1)}
       5:{1,2,4,5}:{(2,1),(3,1),(4,1),(10,1)}
       6:{1,2,3,5}:{(1,1),(11,1)}
       7:{1,2,3,6}:{(2,1),(10,1)}
       8:{1,3,4,6}:{(3,1),(10,1),(13,1),(23,1)}
       9:{2,3,4,6}:{(4,1),(10,1),(14,1),(23,1)}
      10:{1,2,4,6}:{(5,1),(7,1),(8,1),(9,1),(15,1)}
      11:{1,2,4,5}:{(6,1),(16,1),(17,1)}
      12:{1,2,3,5,6}:{(6,1),(7,1),(15,1),(17,1),(26,1),(37,1),(38,1)}
      13:{1,3,5,6}:{(8,1),(15,1),(18,1),(26,1)}
      14:{2,3,5,6}:{(9,1),(15,1),(19,1),(26,1)}
      15:{1,2,5,6}:{(10,1),(13,1),(14,1)}
      16:{3,4,5}:{(11,1),(23,1)}
      17:{1,2,4,6}:{(11,1),(12,1),(23,1)}
      18:{1,4,5,6}:{(13,1),(24,1)}
      19:{2,4,5,6}:{(14,1),(25,1)}
      20:{1,2,4,5,6}:{(15,1),(17,1),(18,1),(19,1),(26,1),(31,1),(32,1),(37,1)}
      21:{2,3,4,5}:{(16,1),(28,1),(29,1)}
      22:{1,3,4,5}:{(16,1),(28,1),(30,1)}
      23:{3,4,6}:{(16,1),(17,1),(26,1)}
      24:{3,4,5,6}:{(18,1),(26,1),(31,1)}
      25:{3,4,5,6}:{(19,1),(26,1),(32,1)}
      26:{3,5,6}:{(20,1),(23,1)}
      27:{1,2,3,4}:{(35,1)}
      28:{1,2,4,5}:{(21,1),(22,1),(35,1),(36,1)}
      29:{2,3,4,6}:{(21,1),(23,1),(33,1),(36,1)}
      30:{1,3,4,6}:{(22,1),(23,1),(34,1),(36,1)}
      31:{2,4,5,6}:{(24,1),(33,1)}
      32:{1,4,5,6}:{(25,1),(34,1)}
      33:{2,3,5,6}:{(26,1),(29,1),(31,1),(37,1)}
      34:{1,3,5,6}:{(26,1),(30,1),(32,1),(37,1)}
      35:{1,2,3,5}:{(27,1),(28,1),(38,1)}
      36:{1,2,4,6}:{(28,1),(29,1),(30,1),(37,1),(38,1)}
      37:{1,2,5,6}:{(33,1),(34,1),(36,1)}
      38:{1,2,3,6}:{(35,1),(36,1)}

530 :  0:{1,2,3,4}:{(2,1)}
       1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(14,1),(16,1),(28,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1)}
       3:{1,3,4,5}:{(5,1),(7,1),(15,1)}
       4:{1,2,3,5}:{(1,1),(9,1)}
       5:{1,2,4,5}:{(2,1),(3,1),(8,1),(11,1)}
       6:{1,2,3,6}:{(2,1),(11,1)}
       7:{1,3,4,6}:{(3,1),(11,1),(12,1),(23,1)}
       8:{2,3,4,5}:{(5,1),(13,1),(15,1)}
       9:{1,2,4,5}:{(4,1),(15,1),(16,1)}
      10:{1,2,3,5,6}:{(4,1),(6,1),(16,1),(17,1),(28,1),(31,1),(38,1)}
      11:{1,2,4,6}:{(5,1),(6,1),(7,1),(13,1),(17,1)}
      12:{1,3,5,6}:{(7,1),(17,1),(18,1),(31,1)}
      13:{2,3,4,6}:{(8,1),(11,1),(19,1),(23,1)}
      14:{1,2,3,4}:{(20,1)}
      15:{3,4,5}:{(9,1),(23,1)}
      16:{1,2,4,6}:{(9,1),(10,1),(23,1)}
      17:{1,2,5,6}:{(11,1),(12,1),(19,1)}
      18:{1,4,5,6}:{(12,1),(25,1)}
      19:{2,3,5,6}:{(13,1),(17,1),(26,1),(31,1)}
      20:{1,2,3,5}:{(14,1),(27,1),(28,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(29,1)}
      22:{2,3,4,5}:{(15,1),(27,1),(30,1)}
      23:{3,4,6}:{(15,1),(16,1),(31,1)}
      24:{1,2,4,5,6}:{(16,1),(17,1),(18,1),(26,1),(31,1),(32,1),(37,1),(38,1)}
      25:{3,4,5,6}:{(18,1),(31,1),(32,1)}
      26:{2,4,5,6}:{(19,1),(33,1)}
      27:{1,2,4,5}:{(20,1),(21,1),(22,1),(34,1)}
      28:{1,2,3,6}:{(20,1),(34,1)}
      29:{1,3,4,6}:{(21,1),(23,1),(34,1),(35,1)}
      30:{2,3,4,6}:{(22,1),(23,1),(34,1),(36,1)}
      31:{3,5,6}:{(23,1),(24,1)}
      32:{2,4,5,6}:{(25,1),(36,1)}
      33:{3,4,5,6}:{(26,1),(31,1),(37,1)}
      34:{1,2,4,6}:{(27,1),(28,1),(29,1),(30,1),(38,1)}
      35:{1,3,5,6}:{(29,1),(31,1),(37,1),(38,1)}
      36:{2,3,5,6}:{(30,1),(31,1),(32,1),(38,1)}
      37:{1,4,5,6}:{(33,1),(35,1)}
      38:{1,2,5,6}:{(34,1),(35,1),(36,1)}

531 : 0:{2,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{1,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{1,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{1,3,4,5}:{(4,1),(8,1)}
      7:{2,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{2,3,5}:{(7,1),(8,1)}

532 :  0:{1,2,3,4}:{(2,1)}
       1:{1,2,3,4,6}:{(0,1),(4,1),(6,1),(14,1),(16,1),(28,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1)}
       3:{2,3,4,5}:{(5,1),(7,1),(15,1)}
       4:{1,2,3,5}:{(1,1),(9,1)}
       5:{1,2,4,5}:{(2,1),(3,1),(8,1),(11,1)}
       6:{1,2,3,6}:{(2,1),(11,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(23,1)}
       8:{1,3,4,5}:{(5,1),(13,1),(15,1)}
       9:{1,2,4,5}:{(4,1),(15,1),(16,1)}
      10:{1,2,3,5,6}:{(4,1),(6,1),(16,1),(17,1),(28,1),(31,1),(38,1)}
      11:{1,2,4,6}:{(5,1),(6,1),(7,1),(13,1),(17,1)}
      12:{2,3,5,6}:{(7,1),(17,1),(18,1),(31,1)}
      13:{1,3,4,6}:{(8,1),(11,1),(19,1),(23,1)}
      14:{1,2,3,4}:{(20,1)}
      15:{3,4,5}:{(9,1),(23,1)}
      16:{1,2,4,6}:{(9,1),(10,1),(23,1)}
      17:{1,2,5,6}:{(11,1),(12,1),(19,1)}
      18:{2,4,5,6}:{(12,1),(25,1)}
      19:{1,3,5,6}:{(13,1),(17,1),(26,1),(31,1)}
      20:{1,2,3,5}:{(14,1),(27,1),(28,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(29,1)}
      22:{2,3,4,5}:{(15,1),(27,1),(30,1)}
      23:{3,4,6}:{(15,1),(16,1),(31,1)}
      24:{1,2,4,5,6}:{(16,1),(17,1),(18,1),(26,1),(31,1),(32,1),(37,1),(38,1)}
      25:{3,4,5,6}:{(18,1),(31,1),(32,1)}
      26:{1,4,5,6}:{(19,1),(33,1)}
      27:{1,2,4,5}:{(20,1),(21,1),(22,1),(34,1)}
      28:{1,2,3,6}:{(20,1),(34,1)}
      29:{1,3,4,6}:{(21,1),(23,1),(34,1),(35,1)}
      30:{2,3,4,6}:{(22,1),(23,1),(34,1),(36,1)}
      31:{3,5,6}:{(23,1),(24,1)}
      32:{1,4,5,6}:{(25,1),(35,1)}
      33:{3,4,5,6}:{(26,1),(31,1),(37,1)}
      34:{1,2,4,6}:{(27,1),(28,1),(29,1),(30,1),(38,1)}
      35:{1,3,5,6}:{(29,1),(31,1),(32,1),(38,1)}
      36:{2,3,5,6}:{(30,1),(31,1),(37,1),(38,1)}
      37:{2,4,5,6}:{(33,1),(36,1)}
      38:{1,2,5,6}:{(34,1),(35,1),(36,1)}

533 : 0:{1,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{2,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{2,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{2,3,4,5}:{(4,1),(8,1)}
      7:{1,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{1,3,5}:{(7,1),(8,1)}

534 :  0:{3,4,5,6}:{(3,1),(4,1),(20,1),(39,1)}
       1:{2,3,4,5}:{(5,1),(6,1),(25,1),(39,1),(42,1)}
       2:{1,3,4,5}:{(7,1),(8,1),(23,1),(39,1),(41,1)}
       3:{1,4,5,6}:{(0,1),(11,1),(44,1)}
       4:{2,4,5,6}:{(0,1),(10,1),(45,1)}
       5:{2,3,4,6}:{(1,1),(10,1),(13,1),(30,1)}
       6:{1,2,4,5}:{(1,1),(13,1),(14,1),(32,1),(44,1),(46,1)}
       7:{1,3,4,6}:{(2,1),(11,1),(15,1),(30,1)}
       8:{1,2,4,5}:{(2,1),(15,1),(16,1),(32,1),(45,1),(46,1)}
       9:{1,2,3,5,6}:{(17,1),(28,1),(29,1),(31,1),(35,1),(46,1)}
      10:{2,3,5,6}:{(4,1),(5,1),(18,1),(20,1),(42,1)}
      11:{1,3,5,6}:{(3,1),(7,1),(19,1),(20,1),(41,1)}
      12:{1,2,4,5,6}:{(3,1),(4,1),(18,1),(19,1),(20,1),(27,1),(37,1),(38,1),(48,1)}
      13:{1,2,4,6}:{(5,1),(6,1),(18,1),(22,1),(37,1)}
      14:{1,3,5}:{(6,1),(22,1),(23,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(19,1),(24,1),(38,1)}
      16:{2,3,5}:{(8,1),(24,1),(25,1)}
      17:{1,2,4,6}:{(9,1),(26,1),(27,1),(37,1),(38,1)}
      18:{1,2,5,6}:{(10,1),(13,1),(28,1),(46,1)}
      19:{1,2,5,6}:{(11,1),(15,1),(29,1),(46,1)}
      20:{3,5,6}:{(12,1),(30,1),(35,1),(49,1)}
      21:{1,2,3,5}:{(14,1),(16,1),(31,1),(32,1),(46,1)}
      22:{1,3,6}:{(13,1),(14,1)}
      23:{1,3,4}:{(14,1),(32,1)}
      24:{2,3,6}:{(15,1),(16,1)}
      25:{2,3,4}:{(16,1),(32,1)}
      26:{3,4,6}:{(17,1),(35,1)}
      27:{1,2,4,5}:{(17,1),(35,1),(44,1),(45,1),(46,1)}
      28:{1,3,5,6}:{(18,1),(20,1),(22,1),(37,1),(41,1)}
      29:{2,3,5,6}:{(19,1),(20,1),(24,1),(38,1),(42,1)}
      30:{3,4,6}:{(20,1),(37,1),(38,1),(39,1)}
      31:{1,2,3,6}:{(21,1),(22,1),(24,1),(40,1)}
      32:{1,2,4}:{(21,1),(23,1),(25,1)}
      33:{1,3,4,6}:{(22,1),(23,1),(26,1),(37,1),(40,1),(41,1),(47,1)}
      34:{2,3,4,6}:{(24,1),(25,1),(26,1),(38,1),(40,1),(42,1),(47,1)}
      35:{3,5}:{(26,1),(27,1)}
      36:{1,2,3,5,6}:{(28,1),(29,1),(31,1),(43,1),(46,1),(49,1)}
      37:{1,4,6}:{(28,1),(30,1),(44,1)}
      38:{2,4,6}:{(29,1),(30,1),(45,1)}
      39:{3,4,5}:{(30,1),(35,1),(44,1),(45,1),(49,1)}
      40:{1,2,4,6}:{(31,1),(32,1),(33,1),(34,1),(46,1)}
      41:{1,3,5}:{(33,1),(35,1),(44,1),(46,1),(49,1)}
      42:{2,3,5}:{(34,1),(35,1),(45,1),(46,1),(49,1)}
      43:{1,2,4,6}:{(36,1),(37,1),(38,1),(47,1),(48,1)}
      44:{1,4,5}:{(37,1),(39,1),(41,1)}
      45:{2,4,5}:{(38,1),(39,1),(42,1)}
      46:{1,2,5}:{(40,1),(41,1),(42,1)}
      47:{3,4,6}:{(43,1),(49,1)}
      48:{1,2,4,5}:{(43,1),(44,1),(45,1),(46,1),(49,1)}
      49:{3,5}:{(47,1),(48,1)}

535 :  0:{1,2,3,4,6}:{(1,1),(4,1),(6,1),(15,1)}
       1:{1,2,3,5}:{(0,1),(2,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
       3:{1,2,3,5,6}:{(1,1),(6,1),(15,1),(18,1),(29,1)}
       4:{1,2,3,4}:{(8,1)}
       5:{3,4,5}:{(2,1),(11,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(11,1)}
       7:{1,2,3,4,6}:{(4,1),(13,1),(15,1),(26,1)}
       8:{1,2,3,5}:{(4,1),(14,1),(15,1)}
       9:{1,3,4,5}:{(5,1),(14,1),(16,1),(25,1)}
      10:{2,3,4,5}:{(5,1),(14,1),(17,1),(25,1)}
      11:{3,4,6}:{(5,1),(6,1),(18,1)}
      12:{1,2,4,5,6}:{(6,1),(18,1),(27,1),(28,1),(29,1)}
      13:{1,2,3,5}:{(7,1),(19,1)}
      14:{1,2,4,5}:{(8,1),(9,1),(10,1),(22,1)}
      15:{1,2,3,6}:{(8,1),(22,1)}
      16:{1,3,4,6}:{(9,1),(11,1),(22,1),(23,1),(30,1)}
      17:{2,3,4,6}:{(10,1),(11,1),(22,1),(24,1),(30,1)}
      18:{3,5,6}:{(11,1),(12,1)}
      19:{1,2,4,5}:{(13,1),(25,1),(26,1)}
      20:{1,2,3,5,6}:{(13,1),(15,1),(26,1),(29,1),(32,1)}
      21:{3,4,5,6}:{(18,1),(27,1),(28,1),(32,1)}
      22:{1,2,4,6}:{(14,1),(15,1),(16,1),(17,1),(29,1)}
      23:{1,3,5,6}:{(16,1),(18,1),(27,1),(29,1),(32,1)}
      24:{2,3,5,6}:{(17,1),(18,1),(28,1),(29,1),(32,1)}
      25:{3,4,5}:{(19,1),(30,1)}
      26:{1,2,4,6}:{(19,1),(20,1),(30,1)}
      27:{1,4,5,6}:{(21,1),(23,1)}
      28:{2,4,5,6}:{(21,1),(24,1)}
      29:{1,2,5,6}:{(22,1),(23,1),(24,1)}
      30:{3,4,6}:{(25,1),(26,1),(32,1)}
      31:{1,2,4,5,6}:{(26,1),(27,1),(28,1),(29,1),(32,1)}
      32:{3,5,6}:{(30,1),(31,1)}

536 : 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:{3,4,5}:{(2,1),(6,1)}
      5:{1,2,4,6}:{(2,1),(3,1),(6,1),(7,1)}
      6:{3,4,6}:{(4,1),(5,1),(8,1)}
      7:{1,2,5,6}:{(5,1),(8,1)}
      8:{3,5,6}:{(6,1),(7,1),(9,1)}
      9:{4,5,6}:{(8,1)}

537 :  0:{1,2,3,4}:{(2,1)}
       1:{1,2,3,4,6}:{(0,1),(5,1),(7,1),(15,1),(17,1),(29,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1)}
       3:{1,3,4,5}:{(6,1),(8,1),(16,1)}
       4:{2,3,4,5}:{(6,1),(9,1),(16,1)}
       5:{1,2,3,5}:{(1,1),(10,1)}
       6:{1,2,4,5}:{(2,1),(3,1),(4,1),(12,1)}
       7:{1,2,3,6}:{(2,1),(12,1)}
       8:{1,3,4,6}:{(3,1),(12,1),(13,1),(24,1)}
       9:{2,3,4,6}:{(4,1),(12,1),(14,1),(24,1)}
      10:{1,2,4,5}:{(5,1),(16,1),(17,1)}
      11:{1,2,3,5,6}:{(5,1),(7,1),(17,1),(18,1),(29,1),(32,1),(38,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(8,1),(9,1),(18,1)}
      13:{1,3,5,6}:{(8,1),(18,1),(19,1),(32,1)}
      14:{2,3,5,6}:{(9,1),(18,1),(20,1),(32,1)}
      15:{1,2,3,4}:{(21,1)}
      16:{3,4,5}:{(10,1),(24,1)}
      17:{1,2,4,6}:{(10,1),(11,1),(24,1)}
      18:{1,2,5,6}:{(12,1),(13,1),(14,1)}
      19:{1,4,5,6}:{(13,1),(26,1)}
      20:{2,4,5,6}:{(14,1),(27,1)}
      21:{1,2,3,5}:{(15,1),(28,1),(29,1)}
      22:{1,3,4,5}:{(16,1),(28,1),(30,1)}
      23:{2,3,4,5}:{(16,1),(28,1),(31,1)}
      24:{3,4,6}:{(16,1),(17,1),(32,1)}
      25:{1,2,4,5,6}:{(17,1),(18,1),(19,1),(20,1),(32,1),(33,1),(34,1),(38,1)}
      26:{3,4,5,6}:{(19,1),(32,1),(33,1)}
      27:{3,4,5,6}:{(20,1),(32,1),(34,1)}
      28:{1,2,4,5}:{(21,1),(22,1),(23,1),(35,1)}
      29:{1,2,3,6}:{(21,1),(35,1)}
      30:{1,3,4,6}:{(22,1),(24,1),(35,1),(36,1)}
      31:{2,3,4,6}:{(23,1),(24,1),(35,1),(37,1)}
      32:{3,5,6}:{(24,1),(25,1)}
      33:{2,4,5,6}:{(26,1),(37,1)}
      34:{1,4,5,6}:{(27,1),(36,1)}
      35:{1,2,4,6}:{(28,1),(29,1),(30,1),(31,1),(38,1)}
      36:{1,3,5,6}:{(30,1),(32,1),(34,1),(38,1)}
      37:{2,3,5,6}:{(31,1),(32,1),(33,1),(38,1)}
      38:{1,2,5,6}:{(35,1),(36,1),(37,1)}

538 : 0:{2,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{1,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{1,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{1,3,4,5}:{(4,1),(8,1)}
      7:{2,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{2,3,5}:{(7,1),(8,1)}

539 : 0:{1,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{2,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{2,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{2,3,4,5}:{(4,1),(8,1)}
      7:{1,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{1,3,5}:{(7,1),(8,1)}

540 : 0:{2,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{1,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{1,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{1,3,4,5}:{(4,1),(8,1)}
      7:{2,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{2,3,5}:{(7,1),(8,1)}

541 :  0:{1,2,3,4}:{(2,1)}
       1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(18,1),(21,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1)}
       3:{1,3,4,5}:{(6,1),(8,1),(20,1)}
       4:{1,2,3,4}:{(9,1)}
       5:{1,2,3,5}:{(1,1),(11,1)}
       6:{1,2,4,5}:{(2,1),(3,1),(14,1),(15,1)}
       7:{1,2,3,6}:{(2,1),(15,1)}
       8:{1,3,4,6}:{(3,1),(15,1),(16,1),(29,1)}
       9:{1,2,3,5}:{(4,1),(17,1),(18,1)}
      10:{2,3,4,5}:{(17,1),(19,1),(20,1)}
      11:{1,2,4,5}:{(5,1),(20,1),(21,1)}
      12:{1,2,3,5,6}:{(5,1),(7,1),(18,1),(21,1),(25,1),(33,1),(34,1)}
      13:{3,4,5,6}:{(22,1),(23,1),(34,1)}
      14:{2,3,4,5}:{(6,1),(20,1),(24,1)}
      15:{1,2,4,6}:{(6,1),(7,1),(8,1),(24,1),(25,1)}
      16:{1,3,5,6}:{(8,1),(22,1),(25,1),(34,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(26,1),(27,1)}
      18:{1,2,3,6}:{(9,1),(27,1)}
      19:{2,3,4,6}:{(10,1),(27,1),(28,1),(29,1)}
      20:{3,4,5}:{(11,1),(29,1)}
      21:{1,2,4,6}:{(11,1),(12,1),(29,1)}
      22:{1,4,5,6}:{(13,1),(16,1)}
      23:{2,4,5,6}:{(13,1),(28,1)}
      24:{2,3,4,6}:{(14,1),(15,1),(29,1),(31,1)}
      25:{1,2,5,6}:{(15,1),(16,1),(31,1)}
      26:{1,3,4,5}:{(17,1),(20,1),(32,1)}
      27:{1,2,4,6}:{(17,1),(18,1),(19,1),(32,1),(33,1)}
      28:{2,3,5,6}:{(19,1),(23,1),(33,1),(34,1)}
      29:{3,4,6}:{(20,1),(21,1),(34,1)}
      30:{1,2,4,5,6}:{(21,1),(22,1),(23,1),(25,1),(33,1),(34,1),(35,1),(38,1)}
      31:{2,3,5,6}:{(24,1),(25,1),(34,1),(35,1)}
      32:{1,3,4,6}:{(26,1),(27,1),(29,1),(36,1)}
      33:{1,2,5,6}:{(27,1),(28,1),(36,1)}
      34:{3,5,6}:{(29,1),(30,1)}
      35:{2,4,5,6}:{(31,1),(37,1)}
      36:{1,3,5,6}:{(32,1),(33,1),(34,1),(38,1)}
      37:{3,4,5,6}:{(34,1),(35,1),(38,1)}
      38:{1,4,5,6}:{(36,1),(37,1)}

542 : 0:{1,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{2,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{2,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{2,3,4,5}:{(4,1),(8,1)}
      7:{1,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{1,3,5}:{(7,1),(8,1)}

543 :  0:{1,2,3,4}:{(2,1)}
       1:{1,2,3,4,6}:{(0,1),(4,1),(5,1),(7,1),(18,1),(21,1)}
       2:{1,2,3,5}:{(0,1),(6,1),(7,1)}
       3:{2,3,4,5}:{(6,1),(8,1),(20,1)}
       4:{1,2,3,4}:{(9,1)}
       5:{1,2,3,5}:{(1,1),(11,1)}
       6:{1,2,4,5}:{(2,1),(3,1),(14,1),(15,1)}
       7:{1,2,3,6}:{(2,1),(15,1)}
       8:{2,3,4,6}:{(3,1),(15,1),(16,1),(29,1)}
       9:{1,2,3,5}:{(4,1),(17,1),(18,1)}
      10:{1,3,4,5}:{(17,1),(19,1),(20,1)}
      11:{1,2,4,5}:{(5,1),(20,1),(21,1)}
      12:{1,2,3,5,6}:{(5,1),(7,1),(18,1),(21,1),(25,1),(33,1),(34,1)}
      13:{3,4,5,6}:{(22,1),(23,1),(34,1)}
      14:{1,3,4,5}:{(6,1),(20,1),(24,1)}
      15:{1,2,4,6}:{(6,1),(7,1),(8,1),(24,1),(25,1)}
      16:{2,3,5,6}:{(8,1),(23,1),(25,1),(34,1)}
      17:{1,2,4,5}:{(9,1),(10,1),(26,1),(27,1)}
      18:{1,2,3,6}:{(9,1),(27,1)}
      19:{1,3,4,6}:{(10,1),(27,1),(28,1),(29,1)}
      20:{3,4,5}:{(11,1),(29,1)}
      21:{1,2,4,6}:{(11,1),(12,1),(29,1)}
      22:{1,4,5,6}:{(13,1),(28,1)}
      23:{2,4,5,6}:{(13,1),(16,1)}
      24:{1,3,4,6}:{(14,1),(15,1),(29,1),(31,1)}
      25:{1,2,5,6}:{(15,1),(16,1),(31,1)}
      26:{2,3,4,5}:{(17,1),(20,1),(32,1)}
      27:{1,2,4,6}:{(17,1),(18,1),(19,1),(32,1),(33,1)}
      28:{1,3,5,6}:{(19,1),(22,1),(33,1),(34,1)}
      29:{3,4,6}:{(20,1),(21,1),(34,1)}
      30:{1,2,4,5,6}:{(21,1),(22,1),(23,1),(25,1),(33,1),(34,1),(35,1),(38,1)}
      31:{1,3,5,6}:{(24,1),(25,1),(34,1),(35,1)}
      32:{2,3,4,6}:{(26,1),(27,1),(29,1),(36,1)}
      33:{1,2,5,6}:{(27,1),(28,1),(36,1)}
      34:{3,5,6}:{(29,1),(30,1)}
      35:{1,4,5,6}:{(31,1),(37,1)}
      36:{2,3,5,6}:{(32,1),(33,1),(34,1),(38,1)}
      37:{3,4,5,6}:{(34,1),(35,1),(38,1)}
      38:{2,4,5,6}:{(36,1),(37,1)}

544 :  0:{1,2,3,4,6}:{(1,1),(2,1),(3,1),(12,1),(15,1),(18,1)}
       1:{1,2,3,4}:{(4,1)}
       2:{1,2,3,4}:{(6,1)}
       3:{1,2,3,5}:{(0,1),(8,1)}
       4:{1,2,3,5}:{(1,1),(11,1),(12,1)}
       5:{1,3,4,5}:{(11,1),(13,1),(17,1)}
       6:{1,2,3,5}:{(2,1),(14,1),(15,1)}
       7:{2,3,4,5}:{(14,1),(16,1),(17,1)}
       8:{1,2,4,5}:{(3,1),(17,1),(18,1)}
       9:{1,2,3,5,6}:{(3,1),(12,1),(15,1),(18,1),(30,1),(32,1),(33,1)}
      10:{3,4,5,6}:{(19,1),(20,1),(33,1)}
      11:{1,2,4,5}:{(4,1),(5,1),(21,1),(22,1)}
      12:{1,2,3,6}:{(4,1),(22,1)}
      13:{1,3,4,6}:{(5,1),(22,1),(23,1),(27,1)}
      14:{1,2,4,5}:{(6,1),(7,1),(24,1),(25,1)}
      15:{1,2,3,6}:{(6,1),(25,1)}
      16:{2,3,4,6}:{(7,1),(25,1),(26,1),(27,1)}
      17:{3,4,5}:{(8,1),(27,1)}
      18:{1,2,4,6}:{(8,1),(9,1),(27,1)}
      19:{1,4,5,6}:{(10,1),(23,1)}
      20:{2,4,5,6}:{(10,1),(26,1)}
      21:{2,3,4,5}:{(11,1),(17,1),(29,1)}
      22:{1,2,4,6}:{(11,1),(12,1),(13,1),(29,1),(30,1)}
      23:{1,3,5,6}:{(13,1),(19,1),(30,1),(33,1)}
      24:{1,3,4,5}:{(14,1),(17,1),(31,1)}
      25:{1,2,4,6}:{(14,1),(15,1),(16,1),(31,1),(32,1)}
      26:{2,3,5,6}:{(16,1),(20,1),(32,1),(33,1)}
      27:{3,4,6}:{(17,1),(18,1),(33,1)}
      28:{1,2,4,5,6}:{(18,1),(19,1),(20,1),(30,1),(32,1),(33,1),(37,1),(38,1)}
      29:{2,3,4,6}:{(21,1),(22,1),(27,1),(34,1)}
      30:{1,2,5,6}:{(22,1),(23,1),(34,1)}
      31:{1,3,4,6}:{(24,1),(25,1),(27,1),(35,1)}
      32:{1,2,5,6}:{(25,1),(26,1),(35,1)}
      33:{3,5,6}:{(27,1),(28,1)}
      34:{2,3,5,6}:{(29,1),(30,1),(33,1),(37,1)}
      35:{1,3,5,6}:{(31,1),(32,1),(33,1),(38,1)}
      36:{3,4,5,6}:{(33,1),(37,1),(38,1)}
      37:{2,4,5,6}:{(34,1),(36,1)}
      38:{1,4,5,6}:{(35,1),(36,1)}

545 : 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:{3,4,5,6}:{(3,1)}

546 : 0:{2,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{1,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{1,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{1,3,4,5}:{(4,1),(8,1)}
      7:{2,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{2,3,5}:{(7,1),(8,1)}

547 : 0:{1,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{2,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{2,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{2,3,4,5}:{(4,1),(8,1)}
      7:{1,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{1,3,5}:{(7,1),(8,1)}

548 : 0:{1,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{2,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{2,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{2,3,4,5}:{(4,1),(8,1)}
      7:{1,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{1,3,5}:{(7,1),(8,1)}

549 :  0:{2,3,4,5,6}:{(2,1),(12,1)}
       1:{1,2,3,4,6}:{(3,1),(10,1)}
       2:{1,2,4,5,6}:{(0,1),(5,1),(10,1)}
       3:{1,2,3,5}:{(1,1),(6,1)}
       4:{1,3,4,5}:{(6,1),(8,1)}
       5:{1,3,5,6}:{(2,1),(8,1)}
       6:{1,2,4,5}:{(3,1),(4,1),(9,1),(10,1)}
       7:{1,2,3,5,6}:{(3,1),(5,1),(10,1),(14,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(10,1)}
       9:{2,3,4,5}:{(6,1),(12,1)}
      10:{1,2,4,6}:{(6,1),(7,1),(8,1),(12,1)}
      11:{1,3,4,5,6}:{(8,1),(13,1)}
      12:{2,3,4,6}:{(9,1),(10,1),(14,1)}
      13:{1,2,4,5,6}:{(10,1),(11,1),(14,1)}
      14:{2,3,5,6}:{(12,1),(13,1)}

550 : 0:{2,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{1,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{1,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{1,3,4,5}:{(4,1),(8,1)}
      7:{2,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{2,3,5}:{(7,1),(8,1)}

551 :  0:{1,3,4,5,6}:{(2,1),(12,1)}
       1:{1,2,3,4,6}:{(3,1),(10,1)}
       2:{1,2,4,5,6}:{(0,1),(5,1),(10,1)}
       3:{1,2,3,5}:{(1,1),(6,1)}
       4:{2,3,4,5}:{(6,1),(8,1)}
       5:{2,3,5,6}:{(2,1),(8,1)}
       6:{1,2,4,5}:{(3,1),(4,1),(9,1),(10,1)}
       7:{1,2,3,5,6}:{(3,1),(5,1),(10,1),(14,1)}
       8:{2,3,4,6}:{(4,1),(5,1),(10,1)}
       9:{1,3,4,5}:{(6,1),(12,1)}
      10:{1,2,4,6}:{(6,1),(7,1),(8,1),(12,1)}
      11:{2,3,4,5,6}:{(8,1),(13,1)}
      12:{1,3,4,6}:{(9,1),(10,1),(14,1)}
      13:{1,2,4,5,6}:{(10,1),(11,1),(14,1)}
      14:{1,3,5,6}:{(12,1),(13,1)}

552 :  0:{1,3,4,5,6}:{(2,1),(8,1)}
       1:{2,3,4,5,6}:{(3,1),(7,1)}
       2:{1,2,4,5,6}:{(0,1),(4,1),(9,1)}
       3:{1,2,4,5,6}:{(1,1),(5,1),(9,1)}
       4:{2,3,5,6}:{(2,1),(7,1)}
       5:{1,3,5,6}:{(3,1),(8,1)}
       6:{1,2,3,5,6}:{(4,1),(5,1),(9,1),(14,1)}
       7:{2,3,4,6}:{(4,1),(9,1),(10,1)}
       8:{1,3,4,6}:{(5,1),(9,1),(11,1)}
       9:{1,2,4,6}:{(6,1),(7,1),(8,1),(13,1)}
      10:{2,3,4,5}:{(7,1),(13,1)}
      11:{1,3,4,5}:{(8,1),(13,1)}
      12:{1,2,3,4,6}:{(9,1),(14,1)}
      13:{1,2,4,5}:{(9,1),(10,1),(11,1),(14,1)}
      14:{1,2,3,5}:{(12,1),(13,1)}

553 : 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:{3,4,5,6}:{(3,1)}

554 :  0:{2,3,4,5,6}:{(2,1),(12,1)}
       1:{1,2,3,4,6}:{(3,1),(10,1)}
       2:{1,2,4,5,6}:{(0,1),(5,1),(10,1)}
       3:{1,2,3,5}:{(1,1),(6,1)}
       4:{1,3,4,5}:{(6,1),(8,1)}
       5:{1,3,5,6}:{(2,1),(8,1)}
       6:{1,2,4,5}:{(3,1),(4,1),(9,1),(10,1)}
       7:{1,2,3,5,6}:{(3,1),(5,1),(10,1),(14,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(10,1)}
       9:{2,3,4,5}:{(6,1),(12,1)}
      10:{1,2,4,6}:{(6,1),(7,1),(8,1),(12,1)}
      11:{1,3,4,5,6}:{(8,1),(13,1)}
      12:{2,3,4,6}:{(9,1),(10,1),(14,1)}
      13:{1,2,4,5,6}:{(10,1),(11,1),(14,1)}
      14:{2,3,5,6}:{(12,1),(13,1)}

555 :  0:{1,3,4,5,6}:{(2,1),(12,1)}
       1:{1,2,3,4,6}:{(3,1),(10,1)}
       2:{1,2,4,5,6}:{(0,1),(5,1),(10,1)}
       3:{1,2,3,5}:{(1,1),(6,1)}
       4:{2,3,4,5}:{(6,1),(8,1)}
       5:{2,3,5,6}:{(2,1),(8,1)}
       6:{1,2,4,5}:{(3,1),(4,1),(9,1),(10,1)}
       7:{1,2,3,5,6}:{(3,1),(5,1),(10,1),(14,1)}
       8:{2,3,4,6}:{(4,1),(5,1),(10,1)}
       9:{1,3,4,5}:{(6,1),(12,1)}
      10:{1,2,4,6}:{(6,1),(7,1),(8,1),(12,1)}
      11:{2,3,4,5,6}:{(8,1),(13,1)}
      12:{1,3,4,6}:{(9,1),(10,1),(14,1)}
      13:{1,2,4,5,6}:{(10,1),(11,1),(14,1)}
      14:{1,3,5,6}:{(12,1),(13,1)}

556 : 0:{1,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{2,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{2,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{2,3,4,5}:{(4,1),(8,1)}
      7:{1,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{1,3,5}:{(7,1),(8,1)}

557 : 0:{2,3,4,5,6}:{(1,1),(7,1)}
      1:{1,2,4,5,6}:{(0,1),(2,1),(5,1)}
      2:{1,3,5,6}:{(1,1),(4,1)}
      3:{1,2,3,5,6}:{(2,1),(5,1),(9,1)}
      4:{1,3,4,6}:{(2,1),(5,1),(6,1)}
      5:{1,2,4,6}:{(3,1),(4,1),(7,1),(8,1)}
      6:{1,3,4,5}:{(4,1),(8,1)}
      7:{2,3,4,6}:{(5,1),(9,1)}
      8:{1,2,4,5}:{(5,1),(6,1),(9,1)}
      9:{2,3,5}:{(7,1),(8,1)}

558 :  0:{2,3,4,5,6}:{(2,1),(8,1)}
       1:{1,3,4,5,6}:{(3,1),(7,1)}
       2:{1,2,4,5,6}:{(0,1),(4,1),(9,1)}
       3:{1,2,4,5,6}:{(1,1),(5,1),(9,1)}
       4:{1,3,5,6}:{(2,1),(7,1)}
       5:{2,3,5,6}:{(3,1),(8,1)}
       6:{1,2,3,5,6}:{(4,1),(5,1),(9,1),(14,1)}
       7:{1,3,4,6}:{(4,1),(9,1),(10,1)}
       8:{2,3,4,6}:{(5,1),(9,1),(11,1)}
       9:{1,2,4,6}:{(6,1),(7,1),(8,1),(13,1)}
      10:{1,3,4,5}:{(7,1),(13,1)}
      11:{2,3,4,5}:{(8,1),(13,1)}
      12:{1,2,3,4,6}:{(9,1),(14,1)}
      13:{1,2,4,5}:{(9,1),(10,1),(11,1),(14,1)}
      14:{1,2,3,5}:{(12,1),(13,1)}

559 : 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:{3,4,5,6}:{(3,1)}

560 :  0:{1,3,4,5,6}:{(2,1),(12,1)}
       1:{1,2,3,4,6}:{(3,1),(10,1)}
       2:{1,2,4,5,6}:{(0,1),(5,1),(10,1)}
       3:{1,2,3,5}:{(1,1),(6,1)}
       4:{2,3,4,5}:{(6,1),(8,1)}
       5:{2,3,5,6}:{(2,1),(8,1)}
       6:{1,2,4,5}:{(3,1),(4,1),(9,1),(10,1)}
       7:{1,2,3,5,6}:{(3,1),(5,1),(10,1),(14,1)}
       8:{2,3,4,6}:{(4,1),(5,1),(10,1)}
       9:{1,3,4,5}:{(6,1),(12,1)}
      10:{1,2,4,6}:{(6,1),(7,1),(8,1),(12,1)}
      11:{2,3,4,5,6}:{(8,1),(13,1)}
      12:{1,3,4,6}:{(9,1),(10,1),(14,1)}
      13:{1,2,4,5,6}:{(10,1),(11,1),(14,1)}
      14:{1,3,5,6}:{(12,1),(13,1)}

561 :  0:{1,3,4,5,6}:{(1,1),(12,1)}
       1:{1,2,4,5,6}:{(0,1),(3,1),(9,1)}
       2:{2,3,4,5,6}:{(4,1),(7,1)}
       3:{2,3,5,6}:{(1,1),(7,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(9,1)}
       5:{1,2,3,5,6}:{(3,1),(8,1),(9,1),(10,1)}
       6:{1,2,3,4,6}:{(9,1),(10,1)}
       7:{2,3,4,6}:{(3,1),(9,1),(11,1)}
       8:{1,3,5,6}:{(4,1),(12,1)}
       9:{1,2,4,6}:{(5,1),(7,1),(12,1),(13,1)}
      10:{1,2,3,5}:{(6,1),(13,1)}
      11:{2,3,4,5}:{(7,1),(13,1)}
      12:{1,3,4,6}:{(8,1),(9,1),(14,1)}
      13:{1,2,4,5}:{(9,1),(10,1),(11,1),(14,1)}
      14:{1,3,4,5}:{(12,1),(13,1)}

562 :  0:{2,3,4,5,6}:{(2,1),(12,1)}
       1:{1,2,3,4,6}:{(3,1),(10,1)}
       2:{1,2,4,5,6}:{(0,1),(5,1),(10,1)}
       3:{1,2,3,5}:{(1,1),(6,1)}
       4:{1,3,4,5}:{(6,1),(8,1)}
       5:{1,3,5,6}:{(2,1),(8,1)}
       6:{1,2,4,5}:{(3,1),(4,1),(9,1),(10,1)}
       7:{1,2,3,5,6}:{(3,1),(5,1),(10,1),(14,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(10,1)}
       9:{2,3,4,5}:{(6,1),(12,1)}
      10:{1,2,4,6}:{(6,1),(7,1),(8,1),(12,1)}
      11:{1,3,4,5,6}:{(8,1),(13,1)}
      12:{2,3,4,6}:{(9,1),(10,1),(14,1)}
      13:{1,2,4,5,6}:{(10,1),(11,1),(14,1)}
      14:{2,3,5,6}:{(12,1),(13,1)}

563 :  0:{2,3,4,5,6}:{(1,1),(12,1)}
       1:{1,2,4,5,6}:{(0,1),(3,1),(9,1)}
       2:{1,3,4,5,6}:{(4,1),(7,1)}
       3:{1,3,5,6}:{(1,1),(7,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(9,1)}
       5:{1,2,3,5,6}:{(3,1),(8,1),(9,1),(10,1)}
       6:{1,2,3,4,6}:{(9,1),(10,1)}
       7:{1,3,4,6}:{(3,1),(9,1),(11,1)}
       8:{2,3,5,6}:{(4,1),(12,1)}
       9:{1,2,4,6}:{(5,1),(7,1),(12,1),(13,1)}
      10:{1,2,3,5}:{(6,1),(13,1)}
      11:{1,3,4,5}:{(7,1),(13,1)}
      12:{2,3,4,6}:{(8,1),(9,1),(14,1)}
      13:{1,2,4,5}:{(9,1),(10,1),(11,1),(14,1)}
      14:{2,3,4,5}:{(12,1),(13,1)}

564 :  0:{2,3,4,5,6}:{(3,1),(13,1)}
       1:{1,3,4,5,6}:{(4,1),(12,1)}
       2:{1,2,3,4,6}:{(5,1),(14,1)}
       3:{1,2,4,5,6}:{(0,1),(7,1),(14,1)}
       4:{1,2,4,5,6}:{(1,1),(9,1),(14,1)}
       5:{1,2,3,5}:{(2,1),(10,1)}
       6:{1,3,4,5}:{(10,1),(12,1)}
       7:{1,3,5,6}:{(3,1),(12,1)}
       8:{2,3,4,5}:{(10,1),(13,1)}
       9:{2,3,5,6}:{(4,1),(13,1)}
      10:{1,2,4,5}:{(5,1),(6,1),(8,1),(14,1)}
      11:{1,2,3,5,6}:{(5,1),(7,1),(9,1),(14,1)}
      12:{1,3,4,6}:{(6,1),(7,1),(14,1)}
      13:{2,3,4,6}:{(8,1),(9,1),(14,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(12,1),(13,1)}

565 :  0:{1,3,4,5,6}:{(2,1),(9,1)}
       1:{2,3,4,5,6}:{(3,1),(8,1)}
       2:{1,2,4,5,6}:{(0,1),(4,1),(10,1)}
       3:{1,2,4,5,6}:{(1,1),(5,1),(10,1)}
       4:{2,3,5,6}:{(2,1),(8,1)}
       5:{1,3,5,6}:{(3,1),(9,1)}
       6:{1,2,3,5,6}:{(4,1),(5,1),(10,1),(11,1)}
       7:{1,2,3,4,6}:{(10,1),(11,1)}
       8:{2,3,4,6}:{(4,1),(10,1),(12,1)}
       9:{1,3,4,6}:{(5,1),(10,1),(13,1)}
      10:{1,2,4,6}:{(6,1),(8,1),(9,1),(14,1)}
      11:{1,2,3,5}:{(7,1),(14,1)}
      12:{2,3,4,5}:{(8,1),(14,1)}
      13:{1,3,4,5}:{(9,1),(14,1)}
      14:{1,2,4,5}:{(10,1),(11,1),(12,1),(13,1)}

566 : 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:{3,4,5,6}:{(3,1)}

567 :  0:{1,3,4,5,6}:{(2,1),(14,1)}
       1:{1,2,3,4,6}:{(4,1),(13,1)}
       2:{1,2,4,5,6}:{(0,1),(6,1),(13,1)}
       3:{2,3,4,5,6}:{(7,1),(10,1)}
       4:{1,2,3,5}:{(1,1),(8,1)}
       5:{2,3,4,5}:{(8,1),(10,1)}
       6:{2,3,5,6}:{(2,1),(10,1)}
       7:{1,2,4,5,6}:{(3,1),(12,1),(13,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(11,1),(13,1)}
       9:{1,2,3,5,6}:{(4,1),(6,1),(12,1),(13,1)}
      10:{2,3,4,6}:{(5,1),(6,1),(13,1)}
      11:{1,3,4,5}:{(8,1),(14,1)}
      12:{1,3,5,6}:{(7,1),(14,1)}
      13:{1,2,4,6}:{(8,1),(9,1),(10,1),(14,1)}
      14:{1,3,4,6}:{(11,1),(12,1),(13,1)}

568 :  0:{2,3,4,5,6}:{(2,1),(14,1)}
       1:{1,2,3,4,6}:{(4,1),(13,1)}
       2:{1,2,4,5,6}:{(0,1),(6,1),(13,1)}
       3:{1,3,4,5,6}:{(7,1),(10,1)}
       4:{1,2,3,5}:{(1,1),(8,1)}
       5:{1,3,4,5}:{(8,1),(10,1)}
       6:{1,3,5,6}:{(2,1),(10,1)}
       7:{1,2,4,5,6}:{(3,1),(12,1),(13,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(11,1),(13,1)}
       9:{1,2,3,5,6}:{(4,1),(6,1),(12,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(13,1)}
      11:{2,3,4,5}:{(8,1),(14,1)}
      12:{2,3,5,6}:{(7,1),(14,1)}
      13:{1,2,4,6}:{(8,1),(9,1),(10,1),(14,1)}
      14:{2,3,4,6}:{(11,1),(12,1),(13,1)}

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

570 : 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:{3,4,5,6}:{(3,1)}

571 : 0:{1,3,4,5,6}:{(2,1)}
      1:{2,3,4,5,6}:{(2,1)}
      2:{1,2,4,5,6}:{(0,1),(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)}

572 : 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}:{(4,1)}
      4:{1,2,4,5,6}:{(2,1),(3,1),(5,1)}
      5:{1,3,4,5,6}:{(4,1)}

573 : 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:{1,3,4,5,6}:{(4,1)}
      4:{1,2,4,5,6}:{(2,1),(3,1),(5,1)}
      5:{2,3,4,5,6}:{(4,1)}

574 : 0:{2,3,4,5,6}:{(2,1)}
      1:{1,3,4,5,6}:{(2,1)}
      2:{1,2,4,5,6}:{(0,1),(1,1),(4,1)}
      3:{1,2,3,4,5}:{(5,1)}
      4:{1,2,3,5,6}:{(2,1),(5,1)}
      5:{1,2,3,4,6}:{(3,1),(4,1)}

575 : 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),(5,1)}
      3:{2,3,4,5,6}:{(5,1)}
      4:{1,3,4,5,6}:{(5,1)}
      5:{1,2,4,5,6}:{(2,1),(3,1),(4,1)}

576 : 0:{1,2,3,4,5}:{(3,1)}
      1:{1,3,4,5,6}:{(4,1)}
      2:{2,3,4,5,6}:{(4,1)}
      3:{1,2,3,4,6}:{(0,1),(5,1)}
      4:{1,2,4,5,6}:{(1,1),(2,1),(5,1)}
      5:{1,2,3,5,6}:{(3,1),(4,1)}

577 : 0:{1,2,3,4,5,6}:{}