0 : 0:{}:{}

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

 29 :  0:{1,2}:{(1,1)}
       1:{1,3}:{(0,1),(2,1),(3,1)}
       2:{2,3}:{(1,1),(4,1),(5,1)}
       3:{1,4}:{(1,1),(5,1),(6,1)}
       4:{1,3}:{(2,1),(7,1),(8,1)}
       5:{2,4}:{(2,1),(3,1),(8,1),(9,1),(10,1)}
       6:{1,5}:{(3,1),(10,1),(11,1)}
       7:{1,2}:{(4,1)}
       8:{1,4}:{(4,1),(5,1),(12,1)}
       9:{3,4}:{(5,1),(13,1)}
      10:{2,5}:{(5,1),(6,1),(12,1),(13,1),(14,1)}
      11:{1,6}:{(6,1),(14,1)}
      12:{1,5}:{(8,1),(10,1),(15,1)}
      13:{3,5}:{(9,1),(10,1),(16,1),(17,1)}
      14:{2,6}:{(10,1),(11,1),(15,1),(17,1)}
      15:{1,6}:{(12,1),(14,1)}
      16:{4,5}:{(13,1),(18,1)}
      17:{3,6}:{(13,1),(14,1),(18,1)}
      18:{4,6}:{(16,1),(17,1),(19,1)}
      19:{5,6}:{(18,1)}

 30 :  0:{1,3}:{(1,1),(2,1),(7,1)}
       1:{2}:{(0,1),(3,1)}
       2:{1,4}:{(0,1),(4,1),(5,1),(18,1)}
       3:{1}:{(1,1)}
       4:{2,4}:{(1,1),(2,1),(6,1),(7,1),(8,1),(14,1),(16,1)}
       5:{1,5}:{(2,1),(8,1),(9,1)}
       6:{1,4}:{(3,1),(4,1),(10,1),(11,1)}
       7:{3}:{(4,1)}
       8:{2,5}:{(4,1),(5,1),(11,1),(12,1),(13,1)}
       9:{1,6}:{(5,1),(13,1)}
      10:{1,3}:{(6,1),(7,1),(14,1)}
      11:{1,5}:{(6,1),(8,1),(15,1)}
      12:{3,5}:{(7,1),(8,1),(16,1),(17,1),(20,1)}
      13:{2,6}:{(8,1),(9,1),(15,1),(17,1)}
      14:{2}:{(10,1),(18,1)}
      15:{1,6}:{(11,1),(13,1)}
      16:{4}:{(12,1)}
      17:{3,6}:{(12,1),(13,1),(19,1)}
      18:{1}:{(14,1)}
      19:{4,6}:{(16,1),(17,1),(20,1)}
      20:{5}:{(19,1)}

 31 :  0:{2,3}:{(1,1),(2,1)}
       1:{1,3}:{(0,1),(3,1),(4,1),(11,1)}
       2:{2,4}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2}:{(1,1)}
       4:{1,4}:{(1,1),(2,1),(7,1),(8,1)}
       5:{3,4}:{(2,1),(9,1)}
       6:{2,5}:{(2,1),(8,1),(9,1),(10,1)}
       7:{2,4}:{(3,1),(4,1),(11,1),(12,1),(19,1)}
       8:{1,5}:{(4,1),(6,1),(12,1),(13,1)}
       9:{3,5}:{(5,1),(6,1),(14,1),(15,1)}
      10:{2,6}:{(6,1),(13,1),(15,1)}
      11:{3}:{(7,1)}
      12:{2,5}:{(7,1),(8,1),(16,1),(17,1)}
      13:{1,6}:{(8,1),(10,1),(17,1)}
      14:{4,5}:{(9,1),(18,1)}
      15:{3,6}:{(9,1),(10,1),(18,1)}
      16:{3,5}:{(11,1),(12,1),(19,1),(20,1),(23,1)}
      17:{2,6}:{(12,1),(13,1),(20,1)}
      18:{4,6}:{(14,1),(15,1),(21,1)}
      19:{4}:{(16,1)}
      20:{3,6}:{(16,1),(17,1),(22,1)}
      21:{5,6}:{(18,1)}
      22:{4,6}:{(19,1),(20,1),(23,1)}
      23:{5}:{(22,1)}

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

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

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

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

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

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

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

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

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

 41 :  0:{3,4}:{(2,1),(3,1)}
       1:{2,3}:{(2,1),(4,1)}
       2:{2,4}:{(0,1),(1,1),(5,1),(6,1)}
       3:{3,5}:{(0,1),(6,1),(7,1),(8,1)}
       4:{1,3}:{(1,1),(5,1),(9,1),(14,1)}
       5:{1,4}:{(2,1),(4,1),(10,1),(11,1)}
       6:{2,5}:{(2,1),(3,1),(11,1),(12,1)}
       7:{4,5}:{(3,1),(13,1)}
       8:{3,6}:{(3,1),(12,1),(13,1)}
       9:{2}:{(4,1)}
      10:{2,4}:{(5,1),(9,1),(14,1),(15,1),(20,1)}
      11:{1,5}:{(5,1),(6,1),(15,1),(16,1)}
      12:{2,6}:{(6,1),(8,1),(16,1)}
      13:{4,6}:{(7,1),(8,1),(17,1)}
      14:{3}:{(10,1)}
      15:{2,5}:{(10,1),(11,1),(18,1),(19,1)}
      16:{1,6}:{(11,1),(12,1),(19,1)}
      17:{5,6}:{(13,1)}
      18:{3,5}:{(14,1),(15,1),(20,1),(21,1),(23,1)}
      19:{2,6}:{(15,1),(16,1),(21,1)}
      20:{4}:{(18,1)}
      21:{3,6}:{(18,1),(19,1),(22,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

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

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

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

 45 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(19,1)}
       1:{1,4,6}:{(0,1),(4,1),(5,1),(6,1),(14,1),(16,1),(20,1)}
       2:{3,6}:{(0,1),(7,1),(21,1)}
       3:{2,5}:{(0,1),(6,1),(7,1)}
       4:{2,4,6}:{(1,1),(8,1),(9,1),(10,1),(17,1),(19,1)}
       5:{1,3,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(22,1)}
       6:{1,5}:{(1,1),(3,1),(9,1)}
       7:{3,5}:{(2,1),(3,1),(12,1)}
       8:{3,6}:{(4,1),(13,1),(21,1)}
       9:{2,5}:{(4,1),(6,1),(13,1)}
      10:{2,6}:{(5,1),(14,1),(15,1),(23,1)}
      11:{1,3,5}:{(5,1),(6,1),(7,1),(13,1),(15,1),(16,1),(21,1)}
      12:{4}:{(7,1)}
      13:{3,5}:{(8,1),(9,1),(17,1)}
      14:{1,6}:{(10,1),(18,1),(24,1)}
      15:{2,5}:{(10,1),(11,1),(18,1),(19,1)}
      16:{1,4}:{(11,1),(12,1),(17,1),(19,1),(24,1)}
      17:{4}:{(13,1)}
      18:{1,5}:{(14,1),(15,1),(20,1)}
      19:{2,4}:{(15,1),(16,1),(20,1),(21,1),(23,1)}
      20:{1,4}:{(18,1),(19,1),(22,1)}
      21:{3}:{(19,1)}
      22:{1,3}:{(20,1),(21,1),(23,1)}
      23:{2}:{(22,1),(24,1)}
      24:{1}:{(23,1)}

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

 47 :  0:{4,5}:{(2,1),(3,1)}
       1:{3,4}:{(2,1),(4,1)}
       2:{3,5}:{(0,1),(1,1),(6,1),(7,1)}
       3:{4,6}:{(0,1),(7,1),(8,1)}
       4:{2,4}:{(1,1),(5,1),(6,1),(9,1)}
       5:{2,3}:{(4,1),(10,1)}
       6:{2,5}:{(2,1),(4,1),(11,1),(12,1)}
       7:{3,6}:{(2,1),(3,1),(12,1)}
       8:{5,6}:{(3,1)}
       9:{1,4}:{(4,1),(10,1),(11,1),(13,1)}
      10:{1,3}:{(5,1),(9,1),(14,1),(17,1)}
      11:{1,5}:{(6,1),(9,1),(15,1),(16,1)}
      12:{2,6}:{(6,1),(7,1),(16,1)}
      13:{2,4}:{(9,1),(14,1),(15,1),(17,1),(20,1)}
      14:{2}:{(10,1)}
      15:{2,5}:{(11,1),(13,1),(18,1),(19,1)}
      16:{1,6}:{(11,1),(12,1),(19,1)}
      17:{3}:{(13,1)}
      18:{3,5}:{(15,1),(17,1),(20,1),(21,1),(23,1)}
      19:{2,6}:{(15,1),(16,1),(21,1)}
      20:{4}:{(18,1)}
      21:{3,6}:{(18,1),(19,1),(22,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

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

 49 :  0:{5,6}:{(2,1)}
       1:{4,5}:{(2,1),(3,1)}
       2:{4,6}:{(0,1),(1,1),(5,1)}
       3:{3,5}:{(1,1),(4,1),(5,1),(6,1)}
       4:{3,4}:{(3,1),(7,1)}
       5:{3,6}:{(2,1),(3,1),(8,1)}
       6:{2,5}:{(3,1),(7,1),(8,1),(9,1)}
       7:{2,4}:{(4,1),(6,1),(10,1),(11,1)}
       8:{2,6}:{(5,1),(6,1),(12,1)}
       9:{1,5}:{(6,1),(11,1),(12,1),(13,1)}
      10:{2,3}:{(7,1),(14,1)}
      11:{1,4}:{(7,1),(9,1),(14,1),(15,1)}
      12:{1,6}:{(8,1),(9,1),(16,1)}
      13:{2,5}:{(9,1),(15,1),(16,1),(17,1)}
      14:{1,3}:{(10,1),(11,1),(18,1),(19,1)}
      15:{2,4}:{(11,1),(13,1),(18,1),(19,1),(21,1)}
      16:{2,6}:{(12,1),(13,1),(20,1)}
      17:{3,5}:{(13,1),(19,1),(20,1),(21,1),(23,1)}
      18:{2}:{(14,1)}
      19:{3}:{(15,1)}
      20:{3,6}:{(16,1),(17,1),(22,1)}
      21:{4}:{(17,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

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

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

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

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

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

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

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

 57 :  0:{3,4}:{(2,1),(3,1)}
       1:{2,3}:{(2,1),(4,1)}
       2:{2,4}:{(0,1),(1,1),(5,1),(6,1)}
       3:{3,5}:{(0,1),(6,1),(7,1),(8,1)}
       4:{1,3}:{(1,1),(5,1),(9,1),(14,1)}
       5:{1,4}:{(2,1),(4,1),(10,1),(11,1)}
       6:{2,5}:{(2,1),(3,1),(11,1),(12,1)}
       7:{4,5}:{(3,1),(13,1)}
       8:{3,6}:{(3,1),(12,1),(13,1)}
       9:{2}:{(4,1)}
      10:{2,4}:{(5,1),(9,1),(14,1),(15,1),(20,1)}
      11:{1,5}:{(5,1),(6,1),(15,1),(16,1)}
      12:{2,6}:{(6,1),(8,1),(16,1)}
      13:{4,6}:{(7,1),(8,1),(17,1)}
      14:{3}:{(10,1)}
      15:{2,5}:{(10,1),(11,1),(18,1),(19,1)}
      16:{1,6}:{(11,1),(12,1),(19,1)}
      17:{5,6}:{(13,1)}
      18:{3,5}:{(14,1),(15,1),(20,1),(21,1),(23,1)}
      19:{2,6}:{(15,1),(16,1),(21,1)}
      20:{4}:{(18,1)}
      21:{3,6}:{(18,1),(19,1),(22,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

 58 :  0:{1,2}:{(1,1)}
       1:{1,3}:{(0,1),(3,1),(4,1)}
       2:{1,2}:{(5,1)}
       3:{2,3}:{(1,1),(5,1),(6,1)}
       4:{1,4}:{(1,1),(6,1),(7,1)}
       5:{1,3}:{(2,1),(3,1),(8,1)}
       6:{2,4}:{(3,1),(4,1),(8,1),(9,1),(10,1)}
       7:{1,5}:{(4,1),(10,1),(11,1)}
       8:{1,4}:{(5,1),(6,1),(12,1)}
       9:{3,4}:{(6,1),(13,1)}
      10:{2,5}:{(6,1),(7,1),(12,1),(13,1),(14,1)}
      11:{1,6}:{(7,1),(14,1)}
      12:{1,5}:{(8,1),(10,1),(15,1)}
      13:{3,5}:{(9,1),(10,1),(16,1),(17,1)}
      14:{2,6}:{(10,1),(11,1),(15,1),(17,1)}
      15:{1,6}:{(12,1),(14,1)}
      16:{4,5}:{(13,1),(18,1)}
      17:{3,6}:{(13,1),(14,1),(18,1)}
      18:{4,6}:{(16,1),(17,1),(19,1)}
      19:{5,6}:{(18,1)}

 59 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(13,1),(22,1),(23,1),(26,1),(31,1)}
       1:{2,4,6}:{(0,1),(3,1),(4,1),(5,1),(14,1),(16,1),(27,1)}
       2:{1,3,5}:{(0,1),(5,1),(7,1),(20,1)}
       3:{2,3,6}:{(1,1),(8,1),(9,1),(26,1),(31,1),(33,1)}
       4:{1,4,6}:{(1,1),(8,1),(10,1),(22,1)}
       5:{2,5}:{(1,1),(2,1),(10,1)}
       6:{1,3,5,6}:{(2,1),(11,1),(13,1),(26,1)}
       7:{1,4,5}:{(2,1),(12,1),(13,1),(22,1),(34,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1),(37,1)}
       9:{2,3,5}:{(3,1),(5,1),(15,1),(16,1),(20,1),(30,1),(35,1)}
      10:{1,5}:{(4,1),(5,1)}
      11:{2,5,6}:{(5,1),(6,1),(17,1),(19,1)}
      12:{2,4,5}:{(5,1),(7,1),(16,1),(18,1),(19,1),(20,1),(27,1),(30,1)}
      13:{1,4,6}:{(6,1),(7,1),(19,1),(37,1)}
      14:{2,6}:{(8,1),(21,1)}
      15:{1,3,5}:{(8,1),(9,1),(10,1),(21,1),(22,1),(31,1),(34,1),(38,1)}
      16:{2,4}:{(9,1),(22,1),(23,1)}
      17:{1,5,6}:{(10,1),(11,1),(24,1)}
      18:{1,4,5}:{(10,1),(12,1),(22,1),(24,1),(25,1)}
      19:{2,4,6}:{(11,1),(12,1),(13,1),(24,1),(26,1),(33,1)}
      20:{3,5}:{(12,1),(23,1),(26,1),(31,1)}
      21:{2,5}:{(14,1),(15,1),(27,1),(39,1)}
      22:{1,4}:{(15,1),(16,1),(27,1)}
      23:{3,4}:{(16,1),(20,1)}
      24:{1,4,6}:{(17,1),(18,1),(19,1),(29,1)}
      25:{1,3,5}:{(18,1),(20,1),(28,1),(29,1),(30,1)}
      26:{3,6}:{(19,1),(20,1)}
      27:{2,4}:{(21,1),(22,1),(31,1)}
      28:{1,3,4}:{(22,1),(23,1),(25,1),(31,1),(32,1),(38,1)}
      29:{1,3,6}:{(24,1),(25,1),(26,1),(33,1)}
      30:{2,5}:{(25,1),(32,1),(33,1),(34,1)}
      31:{3}:{(27,1)}
      32:{2,4}:{(28,1),(30,1),(35,1),(36,1),(39,1)}
      33:{2,6}:{(29,1),(30,1),(37,1)}
      34:{1,5}:{(30,1),(36,1),(37,1)}
      35:{2,3}:{(31,1),(32,1),(38,1)}
      36:{1,4}:{(32,1),(34,1),(38,1)}
      37:{1,6}:{(33,1),(34,1)}
      38:{1,3}:{(35,1),(36,1),(39,1)}
      39:{2}:{(38,1)}

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

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

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

 63 :  0:{2,3}:{(1,1),(2,1)}
       1:{1,3}:{(0,1),(3,1),(4,1),(11,1)}
       2:{2,4}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2}:{(1,1)}
       4:{1,4}:{(1,1),(2,1),(7,1),(8,1)}
       5:{3,4}:{(2,1),(9,1)}
       6:{2,5}:{(2,1),(8,1),(9,1),(10,1)}
       7:{2,4}:{(3,1),(4,1),(11,1),(12,1),(19,1)}
       8:{1,5}:{(4,1),(6,1),(12,1),(13,1)}
       9:{3,5}:{(5,1),(6,1),(14,1),(15,1)}
      10:{2,6}:{(6,1),(13,1),(15,1)}
      11:{3}:{(7,1)}
      12:{2,5}:{(7,1),(8,1),(16,1),(17,1)}
      13:{1,6}:{(8,1),(10,1),(17,1)}
      14:{4,5}:{(9,1),(18,1)}
      15:{3,6}:{(9,1),(10,1),(18,1)}
      16:{3,5}:{(11,1),(12,1),(19,1),(20,1),(23,1)}
      17:{2,6}:{(12,1),(13,1),(20,1)}
      18:{4,6}:{(14,1),(15,1),(21,1)}
      19:{4}:{(16,1)}
      20:{3,6}:{(16,1),(17,1),(22,1)}
      21:{5,6}:{(18,1)}
      22:{4,6}:{(19,1),(20,1),(23,1)}
      23:{5}:{(22,1)}

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

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

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

 67 :  0:{4,5}:{(3,1),(4,1)}
       1:{3,4}:{(3,1),(5,1)}
       2:{2,3}:{(5,1),(6,1)}
       3:{3,5}:{(0,1),(1,1),(7,1),(8,1)}
       4:{4,6}:{(0,1),(8,1),(9,1)}
       5:{2,4}:{(1,1),(2,1),(7,1),(10,1)}
       6:{1,3}:{(2,1),(10,1),(11,1),(17,1)}
       7:{2,5}:{(3,1),(5,1),(12,1),(13,1)}
       8:{3,6}:{(3,1),(4,1),(13,1)}
       9:{5,6}:{(4,1)}
      10:{1,4}:{(5,1),(6,1),(12,1),(14,1)}
      11:{2}:{(6,1)}
      12:{1,5}:{(7,1),(10,1),(15,1),(16,1)}
      13:{2,6}:{(7,1),(8,1),(16,1)}
      14:{2,4}:{(10,1),(11,1),(15,1),(17,1),(20,1)}
      15:{2,5}:{(12,1),(14,1),(18,1),(19,1)}
      16:{1,6}:{(12,1),(13,1),(19,1)}
      17:{3}:{(14,1)}
      18:{3,5}:{(15,1),(17,1),(20,1),(21,1),(23,1)}
      19:{2,6}:{(15,1),(16,1),(21,1)}
      20:{4}:{(18,1)}
      21:{3,6}:{(18,1),(19,1),(22,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

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

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

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

 71 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(19,1)}
       1:{1,4,6}:{(0,1),(4,1),(5,1),(6,1),(14,1),(16,1),(20,1)}
       2:{3,6}:{(0,1),(7,1),(21,1)}
       3:{2,5}:{(0,1),(6,1),(7,1)}
       4:{2,4,6}:{(1,1),(8,1),(9,1),(10,1),(17,1),(19,1)}
       5:{1,3,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(22,1)}
       6:{1,5}:{(1,1),(3,1),(9,1)}
       7:{3,5}:{(2,1),(3,1),(12,1)}
       8:{3,6}:{(4,1),(13,1),(21,1)}
       9:{2,5}:{(4,1),(6,1),(13,1)}
      10:{2,6}:{(5,1),(14,1),(15,1),(23,1)}
      11:{1,3,5}:{(5,1),(6,1),(7,1),(13,1),(15,1),(16,1),(21,1)}
      12:{4}:{(7,1)}
      13:{3,5}:{(8,1),(9,1),(17,1)}
      14:{1,6}:{(10,1),(18,1),(24,1)}
      15:{2,5}:{(10,1),(11,1),(18,1),(19,1)}
      16:{1,4}:{(11,1),(12,1),(17,1),(19,1),(24,1)}
      17:{4}:{(13,1)}
      18:{1,5}:{(14,1),(15,1),(20,1)}
      19:{2,4}:{(15,1),(16,1),(20,1),(21,1),(23,1)}
      20:{1,4}:{(18,1),(19,1),(22,1)}
      21:{3}:{(19,1)}
      22:{1,3}:{(20,1),(21,1),(23,1)}
      23:{2}:{(22,1),(24,1)}
      24:{1}:{(23,1)}

 72 :  0:{5,6}:{(3,1)}
       1:{4,5}:{(3,1),(4,1)}
       2:{3,4}:{(4,1),(5,1)}
       3:{4,6}:{(0,1),(1,1),(7,1)}
       4:{3,5}:{(1,1),(2,1),(7,1),(8,1)}
       5:{2,4}:{(2,1),(6,1),(8,1),(9,1)}
       6:{2,3}:{(5,1),(10,1)}
       7:{3,6}:{(3,1),(4,1),(11,1)}
       8:{2,5}:{(4,1),(5,1),(11,1),(12,1)}
       9:{1,4}:{(5,1),(10,1),(12,1),(13,1)}
      10:{1,3}:{(6,1),(9,1),(14,1),(17,1)}
      11:{2,6}:{(7,1),(8,1),(15,1)}
      12:{1,5}:{(8,1),(9,1),(15,1),(16,1)}
      13:{2,4}:{(9,1),(14,1),(16,1),(17,1),(21,1)}
      14:{2}:{(10,1)}
      15:{1,6}:{(11,1),(12,1),(18,1)}
      16:{2,5}:{(12,1),(13,1),(18,1),(19,1)}
      17:{3}:{(13,1)}
      18:{2,6}:{(15,1),(16,1),(20,1)}
      19:{3,5}:{(16,1),(17,1),(20,1),(21,1),(23,1)}
      20:{3,6}:{(18,1),(19,1),(22,1)}
      21:{4}:{(19,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

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

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

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

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

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

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

 79 :  0:{4,5}:{(3,1),(4,1)}
       1:{3,4}:{(3,1),(5,1)}
       2:{2,3}:{(5,1),(6,1)}
       3:{3,5}:{(0,1),(1,1),(7,1),(8,1)}
       4:{4,6}:{(0,1),(8,1),(9,1)}
       5:{2,4}:{(1,1),(2,1),(7,1),(10,1)}
       6:{1,3}:{(2,1),(10,1),(11,1),(17,1)}
       7:{2,5}:{(3,1),(5,1),(12,1),(13,1)}
       8:{3,6}:{(3,1),(4,1),(13,1)}
       9:{5,6}:{(4,1)}
      10:{1,4}:{(5,1),(6,1),(12,1),(14,1)}
      11:{2}:{(6,1)}
      12:{1,5}:{(7,1),(10,1),(15,1),(16,1)}
      13:{2,6}:{(7,1),(8,1),(16,1)}
      14:{2,4}:{(10,1),(11,1),(15,1),(17,1),(20,1)}
      15:{2,5}:{(12,1),(14,1),(18,1),(19,1)}
      16:{1,6}:{(12,1),(13,1),(19,1)}
      17:{3}:{(14,1)}
      18:{3,5}:{(15,1),(17,1),(20,1),(21,1),(23,1)}
      19:{2,6}:{(15,1),(16,1),(21,1)}
      20:{4}:{(18,1)}
      21:{3,6}:{(18,1),(19,1),(22,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

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

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

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

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

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

 85 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(11,1),(22,1),(23,1),(25,1),(31,1)}
       1:{2,4,6}:{(0,1),(3,1),(5,1),(6,1),(14,1),(16,1),(27,1)}
       2:{1,3,5}:{(0,1),(6,1),(7,1),(20,1)}
       3:{2,3,6}:{(1,1),(8,1),(9,1),(25,1),(31,1),(33,1)}
       4:{1,3,5,6}:{(2,1),(10,1),(11,1),(25,1)}
       5:{1,4,6}:{(1,1),(8,1),(12,1),(22,1)}
       6:{2,5}:{(1,1),(2,1),(12,1)}
       7:{1,4,5}:{(2,1),(11,1),(13,1),(22,1),(34,1)}
       8:{1,3,6}:{(3,1),(5,1),(14,1),(15,1),(37,1)}
       9:{2,3,5}:{(3,1),(6,1),(15,1),(16,1),(20,1),(30,1),(35,1)}
      10:{2,5,6}:{(4,1),(6,1),(17,1),(18,1)}
      11:{1,4,6}:{(4,1),(7,1),(18,1),(37,1)}
      12:{1,5}:{(5,1),(6,1)}
      13:{2,4,5}:{(6,1),(7,1),(16,1),(18,1),(19,1),(20,1),(27,1),(30,1)}
      14:{2,6}:{(8,1),(21,1)}
      15:{1,3,5}:{(8,1),(9,1),(12,1),(21,1),(22,1),(31,1),(34,1),(38,1)}
      16:{2,4}:{(9,1),(22,1),(23,1)}
      17:{1,5,6}:{(10,1),(12,1),(24,1)}
      18:{2,4,6}:{(10,1),(11,1),(13,1),(24,1),(25,1),(33,1)}
      19:{1,4,5}:{(12,1),(13,1),(22,1),(24,1),(26,1)}
      20:{3,5}:{(13,1),(23,1),(25,1),(31,1)}
      21:{2,5}:{(14,1),(15,1),(27,1),(39,1)}
      22:{1,4}:{(15,1),(16,1),(27,1)}
      23:{3,4}:{(16,1),(20,1)}
      24:{1,4,6}:{(17,1),(18,1),(19,1),(29,1)}
      25:{3,6}:{(18,1),(20,1)}
      26:{1,3,5}:{(19,1),(20,1),(28,1),(29,1),(30,1)}
      27:{2,4}:{(21,1),(22,1),(31,1)}
      28:{1,3,4}:{(22,1),(23,1),(26,1),(31,1),(32,1),(38,1)}
      29:{1,3,6}:{(24,1),(25,1),(26,1),(33,1)}
      30:{2,5}:{(26,1),(32,1),(33,1),(34,1)}
      31:{3}:{(27,1)}
      32:{2,4}:{(28,1),(30,1),(35,1),(36,1),(39,1)}
      33:{2,6}:{(29,1),(30,1),(37,1)}
      34:{1,5}:{(30,1),(36,1),(37,1)}
      35:{2,3}:{(31,1),(32,1),(38,1)}
      36:{1,4}:{(32,1),(34,1),(38,1)}
      37:{1,6}:{(33,1),(34,1)}
      38:{1,3}:{(35,1),(36,1),(39,1)}
      39:{2}:{(38,1)}

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

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

 88 :  0:{2,3,5}:{(1,1),(2,1),(3,1),(15,1),(18,1),(31,1),(34,1)}
       1:{1,3,5}:{(0,1),(4,1),(5,1),(6,1),(20,1),(25,1),(44,1),(45,1),(46,1)}
       2:{2,4}:{(0,1),(5,1),(8,1)}
       3:{2,3,6}:{(0,1),(6,1),(9,1),(26,1),(47,1)}
       4:{2,5}:{(1,1),(10,1),(11,1),(54,1)}
       5:{1,4}:{(1,1),(2,1),(10,1),(55,1)}
       6:{1,3,6}:{(1,1),(3,1),(11,1),(14,1),(32,1),(56,1)}
       7:{2,4,5}:{(2,1),(12,1),(15,1),(16,1),(18,1),(34,1),(39,1),(63,1),(72,1),(74,1)}
       8:{3,4}:{(2,1),(15,1),(74,1)}
       9:{2,4,6}:{(2,1),(3,1),(14,1),(17,1),(18,1)}
      10:{2,4}:{(4,1),(5,1),(20,1)}
      11:{2,6}:{(4,1),(6,1)}
      12:{1,4,5}:{(5,1),(7,1),(19,1),(22,1),(23,1),(25,1),(46,1),(57,1),(70,1)}
      13:{1,3,4}:{(5,1),(8,1),(20,1),(22,1),(24,1),(40,1),(44,1),(57,1),(68,1)}
      14:{1,4,6}:{(5,1),(6,1),(9,1),(21,1),(25,1)}
      15:{3,5}:{(7,1),(8,1),(26,1),(68,1)}
      16:{2,4,6}:{(7,1),(23,1),(26,1),(27,1),(47,1),(48,1)}
      17:{3,4,6}:{(8,1),(9,1),(26,1),(28,1),(48,1)}
      18:{2,5}:{(9,1),(25,1),(28,1)}
      19:{2,4,5}:{(10,1),(12,1),(29,1),(30,1),(33,1),(34,1),(49,1),(55,1),(65,1),(66,1)}
      20:{3}:{(10,1)}
      21:{2,4,6}:{(10,1),(11,1),(14,1),(32,1),(33,1),(55,1)}
      22:{1,3,5}:{(12,1),(13,1),(15,1),(29,1),(34,1),(35,1)}
      23:{1,4,6}:{(12,1),(16,1),(30,1),(35,1),(36,1),(56,1)}
      24:{2,4}:{(13,1),(31,1),(34,1),(37,1),(54,1)}
      25:{1,5}:{(14,1),(18,1),(33,1)}
      26:{3,6}:{(15,1),(16,1)}
      27:{2,5,6}:{(16,1),(18,1),(36,1),(38,1),(72,1)}
      28:{3,5}:{(17,1),(18,1),(39,1)}
      29:{3,5}:{(19,1),(20,1),(40,1),(42,1)}
      30:{2,4,6}:{(19,1),(23,1),(42,1),(43,1),(47,1),(62,1)}
      31:{2,3}:{(20,1),(24,1),(44,1),(68,1)}
      32:{3,6}:{(20,1),(21,1),(45,1)}
      33:{2,5}:{(21,1),(25,1),(45,1)}
      34:{2,5}:{(22,1),(24,1),(46,1),(47,1)}
      35:{1,3,6}:{(22,1),(23,1),(26,1),(42,1),(47,1)}
      36:{1,5,6}:{(23,1),(25,1),(27,1),(43,1),(70,1)}
      37:{1,4}:{(24,1),(44,1),(46,1)}
      38:{3,5,6}:{(26,1),(27,1),(28,1),(48,1),(73,1)}
      39:{4,5}:{(28,1),(48,1)}
      40:{3,4}:{(29,1),(49,1),(55,1)}
      41:{2,3,5}:{(29,1),(31,1),(34,1),(49,1),(51,1),(52,1),(65,1)}
      42:{3,6}:{(29,1),(30,1)}
      43:{2,5,6}:{(30,1),(33,1),(36,1),(53,1),(65,1)}
      44:{1,3}:{(31,1),(37,1),(54,1)}
      45:{3,5}:{(32,1),(33,1),(55,1)}
      46:{1,5}:{(34,1),(37,1),(56,1)}
      47:{2,6}:{(34,1),(35,1),(56,1)}
      48:{4,6}:{(38,1),(39,1),(74,1)}
      49:{2,4}:{(40,1),(41,1),(57,1)}
      50:{3,4,6}:{(40,1),(42,1),(58,1),(59,1),(62,1)}
      51:{1,3,5}:{(41,1),(44,1),(46,1),(57,1),(60,1),(61,1),(68,1),(70,1),(73,1)}
      52:{2,3,6}:{(41,1),(42,1),(47,1),(58,1),(61,1)}
      53:{3,5,6}:{(42,1),(43,1),(45,1),(59,1),(62,1)}
      54:{2}:{(44,1)}
      55:{4}:{(45,1)}
      56:{1,6}:{(46,1),(47,1)}
      57:{1,4}:{(49,1),(51,1),(63,1),(74,1)}
      58:{2,4,6}:{(49,1),(50,1),(52,1),(64,1),(65,1)}
      59:{3,5}:{(50,1),(65,1),(66,1)}
      60:{2,5}:{(51,1),(54,1),(63,1),(67,1)}
      61:{1,3,6}:{(51,1),(52,1),(56,1),(64,1),(67,1),(71,1)}
      62:{4,6}:{(53,1),(55,1),(66,1)}
      63:{2,4}:{(57,1),(60,1),(68,1)}
      64:{1,4,6}:{(57,1),(58,1),(61,1),(69,1),(70,1)}
      65:{2,5}:{(58,1),(59,1),(70,1)}
      66:{4,5}:{(59,1),(62,1)}
      67:{2,6}:{(60,1),(61,1)}
      68:{3}:{(63,1)}
      69:{2,4,6}:{(63,1),(64,1),(67,1),(71,1),(72,1),(74,1)}
      70:{1,5}:{(64,1),(65,1),(72,1)}
      71:{3,6}:{(68,1),(69,1),(73,1)}
      72:{2,5}:{(69,1),(70,1),(73,1)}
      73:{3,5}:{(71,1),(72,1),(74,1)}
      74:{4}:{(73,1)}

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

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

 91 :  0:{1,2}:{(2,1)}
       1:{2,3}:{(2,1),(3,1)}
       2:{1,3}:{(0,1),(1,1),(4,1),(5,1)}
       3:{2,4}:{(1,1),(5,1),(6,1),(7,1)}
       4:{2,3}:{(2,1),(8,1)}
       5:{1,4}:{(2,1),(3,1),(8,1),(9,1)}
       6:{3,4}:{(3,1),(10,1)}
       7:{2,5}:{(3,1),(9,1),(10,1),(11,1)}
       8:{2,4}:{(4,1),(5,1),(12,1),(13,1)}
       9:{1,5}:{(5,1),(7,1),(13,1),(14,1)}
      10:{3,5}:{(6,1),(7,1),(15,1),(16,1)}
      11:{2,6}:{(7,1),(14,1),(16,1)}
      12:{3,4}:{(8,1),(17,1)}
      13:{2,5}:{(8,1),(9,1),(17,1),(18,1)}
      14:{1,6}:{(9,1),(11,1),(18,1)}
      15:{4,5}:{(10,1),(19,1)}
      16:{3,6}:{(10,1),(11,1),(19,1)}
      17:{3,5}:{(12,1),(13,1),(20,1),(21,1)}
      18:{2,6}:{(13,1),(14,1),(21,1)}
      19:{4,6}:{(15,1),(16,1),(22,1)}
      20:{4,5}:{(17,1),(23,1)}
      21:{3,6}:{(17,1),(18,1),(23,1)}
      22:{5,6}:{(19,1)}
      23:{4,6}:{(20,1),(21,1),(24,1)}
      24:{5,6}:{(23,1)}

 92 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(13,1),(22,1),(23,1),(26,1),(31,1)}
       1:{2,4,6}:{(0,1),(3,1),(4,1),(5,1),(14,1),(16,1),(27,1)}
       2:{1,3,5}:{(0,1),(5,1),(7,1),(20,1)}
       3:{2,3,6}:{(1,1),(8,1),(9,1),(26,1),(31,1),(33,1)}
       4:{1,4,6}:{(1,1),(8,1),(10,1),(22,1)}
       5:{2,5}:{(1,1),(2,1),(10,1)}
       6:{1,3,5,6}:{(2,1),(11,1),(13,1),(26,1)}
       7:{1,4,5}:{(2,1),(12,1),(13,1),(22,1),(34,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1),(37,1)}
       9:{2,3,5}:{(3,1),(5,1),(15,1),(16,1),(20,1),(30,1),(35,1)}
      10:{1,5}:{(4,1),(5,1)}
      11:{2,5,6}:{(5,1),(6,1),(17,1),(19,1)}
      12:{2,4,5}:{(5,1),(7,1),(16,1),(18,1),(19,1),(20,1),(27,1),(30,1)}
      13:{1,4,6}:{(6,1),(7,1),(19,1),(37,1)}
      14:{2,6}:{(8,1),(21,1)}
      15:{1,3,5}:{(8,1),(9,1),(10,1),(21,1),(22,1),(31,1),(34,1),(38,1)}
      16:{2,4}:{(9,1),(22,1),(23,1)}
      17:{1,5,6}:{(10,1),(11,1),(24,1)}
      18:{1,4,5}:{(10,1),(12,1),(22,1),(24,1),(25,1)}
      19:{2,4,6}:{(11,1),(12,1),(13,1),(24,1),(26,1),(33,1)}
      20:{3,5}:{(12,1),(23,1),(26,1),(31,1)}
      21:{2,5}:{(14,1),(15,1),(27,1),(39,1)}
      22:{1,4}:{(15,1),(16,1),(27,1)}
      23:{3,4}:{(16,1),(20,1)}
      24:{1,4,6}:{(17,1),(18,1),(19,1),(29,1)}
      25:{1,3,5}:{(18,1),(20,1),(28,1),(29,1),(30,1)}
      26:{3,6}:{(19,1),(20,1)}
      27:{2,4}:{(21,1),(22,1),(31,1)}
      28:{1,3,4}:{(22,1),(23,1),(25,1),(31,1),(32,1),(38,1)}
      29:{1,3,6}:{(24,1),(25,1),(26,1),(33,1)}
      30:{2,5}:{(25,1),(32,1),(33,1),(34,1)}
      31:{3}:{(27,1)}
      32:{2,4}:{(28,1),(30,1),(35,1),(36,1),(39,1)}
      33:{2,6}:{(29,1),(30,1),(37,1)}
      34:{1,5}:{(30,1),(36,1),(37,1)}
      35:{2,3}:{(31,1),(32,1),(38,1)}
      36:{1,4}:{(32,1),(34,1),(38,1)}
      37:{1,6}:{(33,1),(34,1)}
      38:{1,3}:{(35,1),(36,1),(39,1)}
      39:{2}:{(38,1)}

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

 94 :  0:{1,3,5,6}:{(1,1),(2,1),(9,1),(10,1)}
       1:{2,5,6}:{(0,1),(3,1),(4,1),(16,1)}
       2:{1,4,6}:{(0,1),(4,1),(5,1),(26,1)}
       3:{1,5,6}:{(1,1),(7,1),(23,1)}
       4:{2,4,6}:{(1,1),(2,1),(7,1),(8,1),(9,1),(19,1)}
       5:{1,4,5}:{(2,1),(8,1),(10,1),(31,1),(32,1)}
       6:{1,3,4,6}:{(2,1),(9,1),(10,1),(11,1),(20,1),(22,1),(32,1),(38,1)}
       7:{1,4,6}:{(3,1),(4,1),(12,1),(13,1)}
       8:{2,4,5}:{(4,1),(5,1),(12,1),(14,1),(16,1),(25,1),(27,1),(36,1)}
       9:{3,6}:{(4,1),(14,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(16,1)}
      11:{2,4,6}:{(6,1),(15,1),(16,1),(17,1),(27,1),(29,1),(36,1)}
      12:{1,4,5}:{(7,1),(8,1),(18,1),(23,1),(32,1)}
      13:{1,3,6}:{(7,1),(9,1),(18,1),(19,1)}
      14:{3,5}:{(8,1),(9,1),(20,1),(38,1)}
      15:{2,3,6}:{(9,1),(11,1),(19,1),(21,1),(22,1),(38,1)}
      16:{2,5}:{(10,1),(11,1),(23,1)}
      17:{1,4,6}:{(11,1),(22,1),(23,1),(32,1)}
      18:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1)}
      19:{2,6}:{(13,1),(25,1),(26,1)}
      20:{3,4}:{(14,1),(27,1)}
      21:{2,3,5}:{(14,1),(15,1),(16,1),(25,1),(27,1),(28,1),(34,1)}
      22:{1,3,6}:{(15,1),(17,1),(26,1),(28,1),(29,1)}
      23:{1,5}:{(16,1),(17,1)}
      24:{1,3,4}:{(18,1),(20,1),(30,1),(32,1),(37,1),(38,1)}
      25:{2,5}:{(18,1),(19,1),(30,1),(31,1)}
      26:{1,6}:{(19,1),(31,1)}
      27:{2,4}:{(20,1),(21,1),(32,1)}
      28:{1,3,5}:{(21,1),(22,1),(23,1),(31,1),(32,1),(33,1),(37,1),(38,1)}
      29:{2,6}:{(22,1),(33,1)}
      30:{2,4}:{(24,1),(25,1),(34,1),(35,1),(39,1)}
      31:{1,5}:{(25,1),(26,1),(35,1)}
      32:{1,4}:{(27,1),(28,1),(36,1)}
      33:{2,5}:{(28,1),(29,1),(36,1),(39,1)}
      34:{2,3}:{(30,1),(37,1),(38,1)}
      35:{1,4}:{(30,1),(31,1),(37,1)}
      36:{2,4}:{(32,1),(33,1),(38,1)}
      37:{1,3}:{(34,1),(35,1),(39,1)}
      38:{3}:{(36,1)}
      39:{2}:{(37,1)}

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

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

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

 98 :  0:{5,6}:{(4,1)}
       1:{4,5}:{(4,1),(5,1)}
       2:{3,4}:{(5,1),(6,1)}
       3:{2,3}:{(6,1),(7,1)}
       4:{4,6}:{(0,1),(1,1),(8,1)}
       5:{3,5}:{(1,1),(2,1),(8,1),(9,1)}
       6:{2,4}:{(2,1),(3,1),(9,1),(10,1)}
       7:{1,3}:{(3,1),(10,1),(11,1),(17,1)}
       8:{3,6}:{(4,1),(5,1),(12,1)}
       9:{2,5}:{(5,1),(6,1),(12,1),(13,1)}
      10:{1,4}:{(6,1),(7,1),(13,1),(14,1)}
      11:{2}:{(7,1)}
      12:{2,6}:{(8,1),(9,1),(15,1)}
      13:{1,5}:{(9,1),(10,1),(15,1),(16,1)}
      14:{2,4}:{(10,1),(11,1),(16,1),(17,1),(21,1)}
      15:{1,6}:{(12,1),(13,1),(18,1)}
      16:{2,5}:{(13,1),(14,1),(18,1),(19,1)}
      17:{3}:{(14,1)}
      18:{2,6}:{(15,1),(16,1),(20,1)}
      19:{3,5}:{(16,1),(17,1),(20,1),(21,1),(23,1)}
      20:{3,6}:{(18,1),(19,1),(22,1)}
      21:{4}:{(19,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

 99 :  0:{3,4,6}:{(2,1),(3,1),(14,1),(20,1),(31,1)}
       1:{2,3,6}:{(2,1),(4,1),(5,1),(31,1),(47,1)}
       2:{2,4,6}:{(0,1),(1,1),(7,1),(8,1),(12,1)}
       3:{3,5}:{(0,1),(8,1),(9,1)}
       4:{1,3,6}:{(1,1),(7,1),(10,1),(11,1),(23,1),(55,1)}
       5:{2,3,5}:{(1,1),(8,1),(11,1),(12,1),(26,1),(42,1),(43,1)}
       6:{3,5,6}:{(3,1),(13,1),(14,1),(31,1),(73,1)}
       7:{1,4,6}:{(2,1),(4,1),(15,1),(16,1),(19,1)}
       8:{2,5}:{(2,1),(3,1),(16,1)}
       9:{4,5}:{(3,1),(14,1)}
      10:{2,6}:{(4,1),(18,1)}
      11:{1,3,5}:{(4,1),(5,1),(16,1),(18,1),(19,1),(32,1),(35,1),(50,1),(51,1)}
      12:{2,4}:{(5,1),(19,1),(20,1)}
      13:{2,5,6}:{(6,1),(8,1),(21,1),(22,1),(71,1)}
      14:{4,6}:{(6,1),(9,1),(74,1)}
      15:{2,4,6}:{(7,1),(10,1),(23,1),(24,1),(27,1),(40,1)}
      16:{1,5}:{(7,1),(8,1),(24,1)}
      17:{2,4,5}:{(8,1),(9,1),(12,1),(22,1),(25,1),(26,1),(42,1),(67,1),(71,1),(74,1)}
      18:{2,5}:{(10,1),(11,1),(27,1),(58,1)}
      19:{1,4}:{(11,1),(12,1),(27,1),(40,1)}
      20:{3,4}:{(12,1),(26,1),(74,1)}
      21:{1,5,6}:{(13,1),(16,1),(29,1),(30,1),(68,1)}
      22:{2,4,6}:{(13,1),(14,1),(17,1),(30,1),(31,1),(47,1)}
      23:{3,6}:{(15,1),(32,1),(35,1)}
      24:{2,5}:{(15,1),(16,1),(32,1)}
      25:{1,4,5}:{(16,1),(17,1),(19,1),(30,1),(33,1),(34,1),(50,1),(62,1),(68,1)}
      26:{3,5}:{(17,1),(20,1),(31,1),(70,1)}
      27:{2,4}:{(18,1),(19,1),(35,1)}
      28:{1,3,4}:{(19,1),(20,1),(34,1),(35,1),(36,1),(48,1),(51,1),(62,1),(70,1)}
      29:{2,5,6}:{(21,1),(24,1),(37,1),(38,1),(64,1)}
      30:{1,4,6}:{(21,1),(22,1),(25,1),(38,1),(39,1),(55,1)}
      31:{3,6}:{(22,1),(26,1)}
      32:{3,5}:{(23,1),(24,1),(40,1)}
      33:{2,4,5}:{(24,1),(25,1),(27,1),(38,1),(40,1),(41,1),(42,1),(52,1),(56,1),(64,1)}
      34:{1,3,5}:{(25,1),(26,1),(28,1),(39,1),(41,1),(42,1)}
      35:{3}:{(27,1)}
      36:{2,4}:{(28,1),(42,1),(43,1),(44,1),(58,1)}
      37:{3,5,6}:{(29,1),(32,1),(45,1),(46,1),(59,1)}
      38:{2,4,6}:{(29,1),(30,1),(33,1),(45,1),(46,1),(47,1)}
      39:{1,3,6}:{(30,1),(31,1),(34,1),(46,1),(47,1)}
      40:{4}:{(32,1)}
      41:{3,5}:{(33,1),(35,1),(46,1),(48,1)}
      42:{2,5}:{(34,1),(36,1),(47,1),(50,1)}
      43:{2,3}:{(35,1),(36,1),(51,1),(70,1)}
      44:{1,4}:{(36,1),(50,1),(51,1)}
      45:{4,6}:{(37,1),(40,1),(52,1)}
      46:{3,6}:{(38,1),(41,1)}
      47:{2,6}:{(39,1),(42,1),(55,1)}
      48:{3,4}:{(40,1),(41,1),(56,1)}
      49:{2,3,5}:{(41,1),(42,1),(43,1),(54,1),(56,1),(57,1),(64,1)}
      50:{1,5}:{(42,1),(44,1),(55,1)}
      51:{1,3}:{(43,1),(44,1),(58,1)}
      52:{4,5}:{(45,1),(59,1)}
      53:{3,4,6}:{(45,1),(46,1),(48,1),(59,1),(60,1)}
      54:{2,3,6}:{(46,1),(47,1),(49,1),(60,1),(61,1)}
      55:{1,6}:{(47,1),(50,1)}
      56:{2,4}:{(48,1),(49,1),(62,1)}
      57:{1,3,5}:{(49,1),(50,1),(51,1),(61,1),(62,1),(63,1),(68,1),(70,1),(73,1)}
      58:{2}:{(51,1)}
      59:{3,5}:{(52,1),(53,1),(64,1)}
      60:{2,4,6}:{(53,1),(54,1),(56,1),(64,1),(65,1)}
      61:{1,3,6}:{(54,1),(55,1),(57,1),(65,1),(66,1),(72,1)}
      62:{1,4}:{(56,1),(57,1),(67,1),(74,1)}
      63:{2,5}:{(57,1),(58,1),(66,1),(67,1)}
      64:{2,5}:{(59,1),(60,1),(68,1)}
      65:{1,4,6}:{(60,1),(61,1),(62,1),(68,1),(69,1)}
      66:{2,6}:{(61,1),(63,1)}
      67:{2,4}:{(62,1),(63,1),(70,1)}
      68:{1,5}:{(64,1),(65,1),(71,1)}
      69:{2,4,6}:{(65,1),(66,1),(67,1),(71,1),(72,1),(74,1)}
      70:{3}:{(67,1)}
      71:{2,5}:{(68,1),(69,1),(73,1)}
      72:{3,6}:{(69,1),(70,1),(73,1)}
      73:{3,5}:{(71,1),(72,1),(74,1)}
      74:{4}:{(73,1)}

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

101 :  0:{2,3,5}:{(2,1),(3,1),(4,1),(6,1),(23,1),(26,1),(42,1)}
       1:{2,4,5}:{(3,1),(5,1),(6,1),(7,1),(23,1),(26,1),(46,1),(63,1),(72,1),(74,1)}
       2:{1,3,5}:{(0,1),(8,1),(9,1),(10,1),(30,1),(33,1),(39,1),(53,1),(54,1)}
       3:{2,4}:{(0,1),(9,1),(11,1)}
       4:{2,3,6}:{(0,1),(10,1),(12,1),(16,1),(40,1)}
       5:{1,4,5}:{(1,1),(9,1),(13,1),(14,1),(15,1),(33,1),(39,1),(55,1),(70,1)}
       6:{3,5}:{(1,1),(11,1),(16,1),(68,1)}
       7:{2,4,6}:{(1,1),(15,1),(16,1),(17,1),(40,1),(41,1)}
       8:{2,5}:{(2,1),(18,1),(19,1),(61,1)}
       9:{1,4}:{(2,1),(3,1),(18,1),(62,1)}
      10:{1,3,6}:{(2,1),(4,1),(19,1),(21,1),(43,1),(52,1)}
      11:{3,4}:{(3,1),(6,1),(74,1)}
      12:{2,4,6}:{(3,1),(4,1),(21,1),(22,1),(23,1)}
      13:{2,4,5}:{(5,1),(18,1),(24,1),(25,1),(26,1),(44,1),(47,1),(62,1),(65,1),(66,1)}
      14:{1,3,5}:{(5,1),(6,1),(20,1),(24,1),(26,1),(27,1)}
      15:{1,4,6}:{(5,1),(7,1),(25,1),(27,1),(28,1),(52,1)}
      16:{3,6}:{(6,1),(7,1)}
      17:{2,5,6}:{(7,1),(23,1),(28,1),(29,1),(72,1)}
      18:{2,4}:{(8,1),(9,1),(30,1)}
      19:{2,6}:{(8,1),(10,1)}
      20:{1,3,4}:{(9,1),(11,1),(14,1),(30,1),(32,1),(35,1),(53,1),(55,1),(68,1)}
      21:{1,4,6}:{(9,1),(10,1),(12,1),(31,1),(33,1)}
      22:{3,4,6}:{(11,1),(12,1),(16,1),(34,1),(41,1)}
      23:{2,5}:{(12,1),(33,1),(34,1)}
      24:{3,5}:{(13,1),(30,1),(35,1),(37,1)}
      25:{2,4,6}:{(13,1),(15,1),(37,1),(38,1),(40,1),(60,1)}
      26:{2,5}:{(14,1),(32,1),(39,1),(40,1)}
      27:{1,3,6}:{(14,1),(15,1),(16,1),(37,1),(40,1)}
      28:{1,5,6}:{(15,1),(17,1),(33,1),(38,1),(70,1)}
      29:{3,5,6}:{(16,1),(17,1),(34,1),(41,1),(73,1)}
      30:{3}:{(18,1)}
      31:{2,4,6}:{(18,1),(19,1),(21,1),(43,1),(44,1),(62,1)}
      32:{2,4}:{(20,1),(26,1),(42,1),(45,1),(61,1)}
      33:{1,5}:{(21,1),(23,1),(44,1)}
      34:{3,5}:{(22,1),(23,1),(46,1)}
      35:{3,4}:{(24,1),(47,1),(62,1)}
      36:{2,3,5}:{(24,1),(26,1),(42,1),(47,1),(49,1),(50,1),(65,1)}
      37:{3,6}:{(24,1),(25,1)}
      38:{2,5,6}:{(25,1),(28,1),(44,1),(51,1),(65,1)}
      39:{1,5}:{(26,1),(45,1),(52,1)}
      40:{2,6}:{(26,1),(27,1),(52,1)}
      41:{4,6}:{(29,1),(46,1),(74,1)}
      42:{2,3}:{(30,1),(32,1),(53,1),(68,1)}
      43:{3,6}:{(30,1),(31,1),(54,1)}
      44:{2,5}:{(31,1),(33,1),(54,1)}
      45:{1,4}:{(32,1),(39,1),(53,1)}
      46:{4,5}:{(34,1),(41,1)}
      47:{2,4}:{(35,1),(36,1),(55,1)}
      48:{3,4,6}:{(35,1),(37,1),(56,1),(57,1),(60,1)}
      49:{1,3,5}:{(36,1),(39,1),(53,1),(55,1),(58,1),(59,1),(68,1),(70,1),(73,1)}
      50:{2,3,6}:{(36,1),(37,1),(40,1),(56,1),(59,1)}
      51:{3,5,6}:{(37,1),(38,1),(54,1),(57,1),(60,1)}
      52:{1,6}:{(39,1),(40,1)}
      53:{1,3}:{(42,1),(45,1),(61,1)}
      54:{3,5}:{(43,1),(44,1),(62,1)}
      55:{1,4}:{(47,1),(49,1),(63,1),(74,1)}
      56:{2,4,6}:{(47,1),(48,1),(50,1),(64,1),(65,1)}
      57:{3,5}:{(48,1),(65,1),(66,1)}
      58:{2,5}:{(49,1),(61,1),(63,1),(67,1)}
      59:{1,3,6}:{(49,1),(50,1),(52,1),(64,1),(67,1),(71,1)}
      60:{4,6}:{(51,1),(62,1),(66,1)}
      61:{2}:{(53,1)}
      62:{4}:{(54,1)}
      63:{2,4}:{(55,1),(58,1),(68,1)}
      64:{1,4,6}:{(55,1),(56,1),(59,1),(69,1),(70,1)}
      65:{2,5}:{(56,1),(57,1),(70,1)}
      66:{4,5}:{(57,1),(60,1)}
      67:{2,6}:{(58,1),(59,1)}
      68:{3}:{(63,1)}
      69:{2,4,6}:{(63,1),(64,1),(67,1),(71,1),(72,1),(74,1)}
      70:{1,5}:{(64,1),(65,1),(72,1)}
      71:{3,6}:{(68,1),(69,1),(73,1)}
      72:{2,5}:{(69,1),(70,1),(73,1)}
      73:{3,5}:{(71,1),(72,1),(74,1)}
      74:{4}:{(73,1)}

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

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

104 :  0:{2,4,6}:{(1,1),(2,1),(3,1),(10,1),(12,1),(19,1)}
       1:{1,4,6}:{(0,1),(4,1),(5,1),(6,1),(14,1),(16,1),(20,1)}
       2:{3,6}:{(0,1),(7,1),(21,1)}
       3:{2,5}:{(0,1),(6,1),(7,1)}
       4:{2,4,6}:{(1,1),(8,1),(9,1),(10,1),(17,1),(19,1)}
       5:{1,3,6}:{(1,1),(2,1),(8,1),(10,1),(11,1),(22,1)}
       6:{1,5}:{(1,1),(3,1),(9,1)}
       7:{3,5}:{(2,1),(3,1),(12,1)}
       8:{3,6}:{(4,1),(13,1),(21,1)}
       9:{2,5}:{(4,1),(6,1),(13,1)}
      10:{2,6}:{(5,1),(14,1),(15,1),(23,1)}
      11:{1,3,5}:{(5,1),(6,1),(7,1),(13,1),(15,1),(16,1),(21,1)}
      12:{4}:{(7,1)}
      13:{3,5}:{(8,1),(9,1),(17,1)}
      14:{1,6}:{(10,1),(18,1),(24,1)}
      15:{2,5}:{(10,1),(11,1),(18,1),(19,1)}
      16:{1,4}:{(11,1),(12,1),(17,1),(19,1),(24,1)}
      17:{4}:{(13,1)}
      18:{1,5}:{(14,1),(15,1),(20,1)}
      19:{2,4}:{(15,1),(16,1),(20,1),(21,1),(23,1)}
      20:{1,4}:{(18,1),(19,1),(22,1)}
      21:{3}:{(19,1)}
      22:{1,3}:{(20,1),(21,1),(23,1)}
      23:{2}:{(22,1),(24,1)}
      24:{1}:{(23,1)}

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

106 :  0:{4,5,6}:{(1,1),(76,1)}
       1:{3,5,6}:{(0,1),(2,1),(3,1),(70,1)}
       2:{3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,5,6}:{(1,1),(5,1),(6,1),(62,1)}
       4:{3,4,5}:{(2,1),(7,1),(67,1),(70,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(8,1),(9,1)}
       6:{1,5,6}:{(3,1),(9,1),(10,1),(53,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(58,1),(62,1)}
       8:{2,3,6}:{(5,1),(11,1),(13,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1)}
      10:{2,5,6}:{(6,1),(14,1),(15,1),(44,1)}
      11:{2,3,5}:{(7,1),(8,1),(16,1),(17,1)}
      12:{1,4,5}:{(7,1),(9,1),(17,1),(18,1),(49,1),(53,1)}
      13:{1,3,6}:{(8,1),(9,1),(17,1),(19,1),(20,1)}
      14:{2,4,6}:{(9,1),(10,1),(18,1),(19,1),(20,1),(21,1)}
      15:{3,5,6}:{(10,1),(20,1),(21,1),(35,1)}
      16:{2,3,4}:{(11,1),(22,1),(55,1),(58,1)}
      17:{1,3,5}:{(11,1),(12,1),(13,1),(22,1),(23,1),(24,1)}
      18:{2,4,5}:{(12,1),(14,1),(23,1),(24,1),(28,1),(40,1),(44,1)}
      19:{2,6}:{(13,1),(23,1)}
      20:{3,6}:{(14,1),(24,1)}
      21:{4,6}:{(15,1),(28,1)}
      22:{1,3,4}:{(16,1),(17,1),(29,1),(32,1),(46,1),(49,1)}
      23:{2,5}:{(17,1),(19,1),(29,1)}
      24:{3,5}:{(18,1),(20,1),(32,1)}
      25:{1,2,6}:{(19,1),(30,1),(33,1),(78,1)}
      26:{2,3,6}:{(19,1),(20,1),(31,1),(33,1),(34,1)}
      27:{3,4,6}:{(20,1),(21,1),(32,1),(34,1),(35,1)}
      28:{4,5}:{(21,1),(35,1)}
      29:{2,4}:{(22,1),(23,1),(38,1)}
      30:{1,2,5}:{(23,1),(25,1),(37,1),(39,1),(72,1)}
      31:{2,3,5}:{(23,1),(24,1),(26,1),(38,1),(39,1),(40,1),(44,1)}
      32:{3,4}:{(24,1),(40,1)}
      33:{1,3,6}:{(25,1),(26,1),(39,1),(42,1),(43,1)}
      34:{2,4,6}:{(26,1),(27,1),(40,1),(43,1),(44,1)}
      35:{3,5}:{(27,1),(28,1),(44,1)}
      36:{4,5,6}:{(28,1),(45,1)}
      37:{1,2,4}:{(29,1),(30,1),(46,1),(49,1),(64,1)}
      38:{2,3}:{(29,1),(46,1)}
      39:{1,3,5}:{(30,1),(31,1),(33,1),(46,1),(48,1),(49,1),(53,1)}
      40:{2,4}:{(31,1),(32,1),(49,1)}
      41:{3,4,5}:{(32,1),(35,1),(50,1),(51,1)}
      42:{2,3,6}:{(33,1),(48,1),(52,1),(78,1),(79,1)}
      43:{1,4,6}:{(33,1),(34,1),(49,1),(52,1),(53,1)}
      44:{2,5}:{(34,1),(35,1),(53,1)}
      45:{3,5,6}:{(35,1),(36,1),(51,1),(54,1)}
      46:{1,3}:{(37,1),(38,1),(55,1)}
      47:{2,3,4}:{(38,1),(40,1),(56,1),(57,1)}
      48:{2,3,5}:{(39,1),(42,1),(55,1),(58,1),(62,1),(72,1),(74,1)}
      49:{1,4}:{(39,1),(40,1),(58,1)}
      50:{2,4,5}:{(40,1),(41,1),(44,1),(57,1),(59,1),(60,1)}
      51:{3,4,6}:{(41,1),(45,1),(60,1)}
      52:{2,4,6}:{(42,1),(43,1),(58,1),(61,1),(62,1)}
      53:{1,5}:{(43,1),(44,1),(62,1)}
      54:{2,5,6}:{(44,1),(45,1),(60,1),(63,1)}
      55:{2,3}:{(46,1),(64,1)}
      56:{1,3,4}:{(46,1),(47,1),(49,1),(64,1),(65,1),(67,1)}
      57:{2,3,5}:{(47,1),(50,1),(65,1),(66,1)}
      58:{2,4}:{(48,1),(49,1),(67,1)}
      59:{1,4,5}:{(49,1),(50,1),(53,1),(65,1),(68,1),(69,1)}
      60:{2,4,6}:{(50,1),(51,1),(54,1),(66,1),(69,1)}
      61:{3,4,6}:{(52,1),(67,1),(70,1),(79,1),(80,1)}
      62:{2,5}:{(52,1),(53,1),(70,1)}
      63:{1,5,6}:{(53,1),(54,1),(69,1),(71,1)}
      64:{2,4}:{(55,1),(56,1),(72,1)}
      65:{1,3,5}:{(56,1),(57,1),(59,1),(72,1),(73,1),(74,1)}
      66:{2,3,6}:{(57,1),(60,1),(73,1)}
      67:{3,4}:{(58,1),(74,1)}
      68:{2,4,5}:{(58,1),(59,1),(62,1),(72,1),(74,1),(75,1),(76,1)}
      69:{1,4,6}:{(59,1),(60,1),(63,1),(73,1),(75,1)}
      70:{3,5}:{(61,1),(62,1),(76,1)}
      71:{2,5,6}:{(62,1),(63,1),(75,1),(77,1)}
      72:{2,5}:{(64,1),(65,1),(78,1)}
      73:{1,3,6}:{(65,1),(66,1),(69,1),(78,1),(79,1)}
      74:{3,5}:{(67,1),(68,1),(79,1)}
      75:{2,4,6}:{(68,1),(69,1),(71,1),(78,1),(79,1),(80,1)}
      76:{4,5}:{(70,1),(80,1)}
      77:{3,5,6}:{(70,1),(71,1),(79,1),(80,1)}
      78:{2,6}:{(72,1),(73,1)}
      79:{3,6}:{(74,1),(75,1)}
      80:{4,6}:{(76,1),(77,1)}

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

108 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1),(43,1)}
       2:{1,2,5}:{(0,1),(5,1),(13,1),(44,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(24,1),(32,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(9,1),(32,1),(40,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(41,1),(42,1)}
       6:{2,4,6}:{(3,1),(4,1),(12,1),(13,1),(17,1)}
       7:{1,3,5}:{(3,1),(13,1),(14,1),(28,1)}
       8:{1,3,6}:{(4,1),(12,1),(15,1),(16,1)}
       9:{2,3,5}:{(4,1),(5,1),(13,1),(16,1),(17,1),(28,1),(37,1),(38,1)}
      10:{1,4}:{(5,1),(17,1)}
      11:{1,3,5,6}:{(7,1),(18,1),(19,1),(32,1)}
      12:{1,4,6}:{(6,1),(8,1),(20,1),(23,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{1,4,5}:{(7,1),(10,1),(19,1),(21,1),(41,1)}
      15:{1,2,6}:{(8,1),(22,1),(40,1)}
      16:{1,3,5}:{(8,1),(9,1),(20,1),(22,1),(23,1),(34,1)}
      17:{2,4}:{(9,1),(10,1),(23,1),(24,1)}
      18:{2,5,6}:{(11,1),(13,1),(25,1),(26,1)}
      19:{1,4,6}:{(11,1),(14,1),(26,1),(43,1)}
      20:{1,5}:{(12,1),(13,1)}
      21:{2,4,5}:{(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      22:{1,2,5}:{(15,1),(16,1),(29,1),(37,1)}
      23:{1,4}:{(16,1),(17,1)}
      24:{3,4}:{(17,1),(28,1)}
      25:{1,5,6}:{(18,1),(20,1),(31,1)}
      26:{2,4,6}:{(18,1),(19,1),(21,1),(31,1),(32,1),(40,1)}
      27:{1,4,5}:{(20,1),(21,1),(23,1),(31,1),(33,1)}
      28:{3,5}:{(21,1),(24,1),(32,1)}
      29:{1,2,4}:{(22,1),(23,1),(34,1),(35,1)}
      30:{1,3,4}:{(23,1),(24,1),(33,1),(34,1),(35,1)}
      31:{1,4,6}:{(25,1),(26,1),(27,1),(36,1)}
      32:{3,6}:{(26,1),(28,1)}
      33:{1,3,5}:{(27,1),(28,1),(30,1),(36,1),(37,1)}
      34:{1,3}:{(29,1),(38,1)}
      35:{2,4}:{(30,1),(37,1),(38,1),(39,1)}
      36:{1,3,6}:{(31,1),(32,1),(33,1),(40,1)}
      37:{2,5}:{(33,1),(35,1),(40,1),(41,1)}
      38:{2,3}:{(34,1),(35,1),(42,1)}
      39:{1,4}:{(35,1),(41,1),(42,1)}
      40:{2,6}:{(36,1),(37,1),(43,1)}
      41:{1,5}:{(37,1),(39,1),(43,1)}
      42:{1,3}:{(38,1),(39,1),(44,1)}
      43:{1,6}:{(40,1),(41,1)}
      44:{1,2}:{(42,1)}

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

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

111 :  0:{1,4,5}:{(2,1),(3,1),(4,1),(35,1),(37,1),(54,1)}
       1:{1,3,4}:{(3,1),(5,1),(16,1),(20,1),(37,1),(52,1)}
       2:{2,4,5}:{(0,1),(6,1),(7,1),(8,1),(10,1),(24,1),(27,1),(46,1),(48,1),(49,1),(57,1),(59,1)}
       3:{1,3,5}:{(0,1),(1,1),(7,1),(10,1),(11,1)}
       4:{1,4,6}:{(0,1),(8,1),(11,1),(12,1),(45,1)}
       5:{2,4}:{(1,1),(9,1),(10,1),(13,1),(32,1)}
       6:{1,4,5}:{(2,1),(14,1),(15,1),(21,1),(37,1),(54,1)}
       7:{3,5}:{(2,1),(16,1),(18,1),(52,1)}
       8:{2,4,6}:{(2,1),(4,1),(15,1),(18,1),(19,1),(22,1),(36,1),(42,1)}
       9:{2,3}:{(5,1),(20,1),(52,1)}
      10:{2,5}:{(3,1),(5,1),(21,1),(22,1)}
      11:{1,3,6}:{(3,1),(4,1),(18,1),(22,1)}
      12:{1,5,6}:{(4,1),(19,1),(54,1)}
      13:{1,4}:{(5,1),(20,1),(21,1)}
      14:{1,3,5}:{(6,1),(7,1),(23,1),(24,1),(25,1)}
      15:{1,4,6}:{(6,1),(8,1),(25,1),(26,1),(33,1)}
      16:{3,4}:{(7,1),(27,1),(59,1)}
      17:{2,3,5}:{(7,1),(9,1),(10,1),(24,1),(27,1),(29,1),(30,1),(43,1),(48,1)}
      18:{3,6}:{(7,1),(8,1)}
      19:{2,5,6}:{(8,1),(12,1),(26,1),(31,1),(48,1),(57,1)}
      20:{1,3}:{(9,1),(13,1),(32,1)}
      21:{1,5}:{(10,1),(13,1),(33,1)}
      22:{2,6}:{(10,1),(11,1),(33,1)}
      23:{1,3,4}:{(14,1),(16,1),(34,1),(37,1),(51,1),(52,1)}
      24:{2,5}:{(14,1),(34,1),(35,1),(36,1)}
      25:{1,3,6}:{(14,1),(15,1),(18,1),(36,1)}
      26:{1,5,6}:{(15,1),(19,1),(54,1)}
      27:{2,4}:{(16,1),(17,1),(37,1)}
      28:{3,4,6}:{(16,1),(18,1),(38,1),(39,1),(42,1)}
      29:{1,3,5}:{(17,1),(20,1),(21,1),(35,1),(37,1),(40,1),(41,1),(51,1),(52,1),(54,1),(58,1)}
      30:{2,3,6}:{(17,1),(18,1),(22,1),(36,1),(38,1),(41,1)}
      31:{3,5,6}:{(18,1),(19,1),(39,1),(42,1),(58,1)}
      32:{2}:{(20,1)}
      33:{1,6}:{(21,1),(22,1)}
      34:{2,4}:{(23,1),(24,1),(43,1),(44,1),(55,1)}
      35:{1,5}:{(24,1),(44,1),(45,1)}
      36:{2,6}:{(24,1),(25,1),(45,1)}
      37:{1,4}:{(27,1),(29,1),(46,1),(59,1)}
      38:{2,4,6}:{(27,1),(28,1),(30,1),(47,1),(48,1)}
      39:{3,5}:{(28,1),(48,1),(49,1)}
      40:{2,5}:{(29,1),(32,1),(46,1),(50,1),(55,1)}
      41:{1,3,6}:{(29,1),(30,1),(33,1),(45,1),(47,1),(50,1),(56,1)}
      42:{4,6}:{(31,1),(49,1),(59,1)}
      43:{2,3}:{(34,1),(51,1),(52,1)}
      44:{1,4}:{(34,1),(35,1),(51,1)}
      45:{1,6}:{(35,1),(36,1)}
      46:{2,4}:{(37,1),(40,1),(52,1)}
      47:{1,4,6}:{(37,1),(38,1),(41,1),(53,1),(54,1)}
      48:{2,5}:{(38,1),(39,1),(54,1)}
      49:{4,5}:{(39,1),(42,1)}
      50:{2,6}:{(40,1),(41,1)}
      51:{1,3}:{(43,1),(44,1),(55,1)}
      52:{3}:{(46,1)}
      53:{2,4,6}:{(46,1),(47,1),(50,1),(56,1),(57,1),(59,1)}
      54:{1,5}:{(47,1),(48,1),(57,1)}
      55:{2}:{(51,1)}
      56:{3,6}:{(52,1),(53,1),(58,1)}
      57:{2,5}:{(53,1),(54,1),(58,1)}
      58:{3,5}:{(56,1),(57,1),(59,1)}
      59:{4}:{(58,1)}

112 :  0:{1,3,5,6}:{(1,1),(2,1),(9,1),(10,1)}
       1:{2,5,6}:{(0,1),(3,1),(4,1),(16,1)}
       2:{1,4,6}:{(0,1),(4,1),(5,1),(26,1)}
       3:{1,5,6}:{(1,1),(7,1),(23,1)}
       4:{2,4,6}:{(1,1),(2,1),(7,1),(8,1),(9,1),(19,1)}
       5:{1,4,5}:{(2,1),(8,1),(10,1),(31,1),(32,1)}
       6:{1,3,4,6}:{(2,1),(9,1),(10,1),(11,1),(20,1),(22,1),(32,1),(38,1)}
       7:{1,4,6}:{(3,1),(4,1),(12,1),(13,1)}
       8:{2,4,5}:{(4,1),(5,1),(12,1),(14,1),(16,1),(25,1),(27,1),(36,1)}
       9:{3,6}:{(4,1),(14,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(16,1)}
      11:{2,4,6}:{(6,1),(15,1),(16,1),(17,1),(27,1),(29,1),(36,1)}
      12:{1,4,5}:{(7,1),(8,1),(18,1),(23,1),(32,1)}
      13:{1,3,6}:{(7,1),(9,1),(18,1),(19,1)}
      14:{3,5}:{(8,1),(9,1),(20,1),(38,1)}
      15:{2,3,6}:{(9,1),(11,1),(19,1),(21,1),(22,1),(38,1)}
      16:{2,5}:{(10,1),(11,1),(23,1)}
      17:{1,4,6}:{(11,1),(22,1),(23,1),(32,1)}
      18:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1)}
      19:{2,6}:{(13,1),(25,1),(26,1)}
      20:{3,4}:{(14,1),(27,1)}
      21:{2,3,5}:{(14,1),(15,1),(16,1),(25,1),(27,1),(28,1),(34,1)}
      22:{1,3,6}:{(15,1),(17,1),(26,1),(28,1),(29,1)}
      23:{1,5}:{(16,1),(17,1)}
      24:{1,3,4}:{(18,1),(20,1),(30,1),(32,1),(37,1),(38,1)}
      25:{2,5}:{(18,1),(19,1),(30,1),(31,1)}
      26:{1,6}:{(19,1),(31,1)}
      27:{2,4}:{(20,1),(21,1),(32,1)}
      28:{1,3,5}:{(21,1),(22,1),(23,1),(31,1),(32,1),(33,1),(37,1),(38,1)}
      29:{2,6}:{(22,1),(33,1)}
      30:{2,4}:{(24,1),(25,1),(34,1),(35,1),(39,1)}
      31:{1,5}:{(25,1),(26,1),(35,1)}
      32:{1,4}:{(27,1),(28,1),(36,1)}
      33:{2,5}:{(28,1),(29,1),(36,1),(39,1)}
      34:{2,3}:{(30,1),(37,1),(38,1)}
      35:{1,4}:{(30,1),(31,1),(37,1)}
      36:{2,4}:{(32,1),(33,1),(38,1)}
      37:{1,3}:{(34,1),(35,1),(39,1)}
      38:{3}:{(36,1)}
      39:{2}:{(37,1)}

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

114 :  0:{2,3,4}:{(1,1),(2,1),(23,1),(47,1)}
       1:{1,3,4}:{(0,1),(3,1),(4,1),(14,1),(37,1),(41,1)}
       2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2,4}:{(1,1),(8,1),(9,1)}
       4:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(11,1),(30,1)}
       5:{2,4,5}:{(2,1),(10,1),(12,1),(13,1),(47,1),(70,1)}
       6:{2,3,6}:{(2,1),(11,1),(13,1)}
       7:{1,2,4}:{(3,1),(14,1),(15,1),(34,1),(37,1)}
       8:{2,3}:{(3,1),(14,1)}
       9:{2,5}:{(3,1),(4,1),(19,1)}
      10:{1,4,5}:{(4,1),(5,1),(18,1),(20,1),(37,1),(62,1)}
      11:{1,3,6}:{(4,1),(6,1),(19,1),(20,1),(43,1)}
      12:{3,4,5}:{(5,1),(21,1),(59,1),(76,1)}
      13:{2,4,6}:{(5,1),(6,1),(20,1),(21,1),(22,1)}
      14:{1,3}:{(7,1),(8,1),(23,1)}
      15:{1,2,5}:{(7,1),(9,1),(25,1),(26,1),(46,1)}
      16:{2,3,4}:{(8,1),(24,1),(27,1),(28,1)}
      17:{2,3,5}:{(8,1),(9,1),(25,1),(28,1),(29,1),(30,1),(55,1)}
      18:{2,4,5}:{(9,1),(10,1),(28,1),(30,1),(31,1),(55,1),(73,1)}
      19:{2,6}:{(9,1),(11,1)}
      20:{1,4,6}:{(10,1),(11,1),(13,1),(31,1),(32,1)}
      21:{3,4,6}:{(12,1),(13,1),(33,1)}
      22:{2,5,6}:{(13,1),(32,1),(33,1),(70,1)}
      23:{2,3}:{(14,1),(34,1)}
      24:{1,3,4}:{(14,1),(16,1),(34,1),(36,1),(37,1),(59,1)}
      25:{1,3,5}:{(14,1),(15,1),(17,1),(35,1),(37,1),(38,1),(62,1)}
      26:{1,2,6}:{(15,1),(19,1),(38,1),(58,1)}
      27:{2,3,5}:{(16,1),(36,1),(39,1),(40,1)}
      28:{2,4}:{(17,1),(37,1),(41,1)}
      29:{2,3,6}:{(17,1),(19,1),(38,1),(42,1),(43,1)}
      30:{3,5}:{(18,1),(41,1),(43,1)}
      31:{2,4,6}:{(18,1),(19,1),(20,1),(43,1),(44,1),(66,1)}
      32:{1,5,6}:{(20,1),(22,1),(44,1),(62,1)}
      33:{3,5,6}:{(21,1),(22,1),(45,1),(76,1)}
      34:{2,4}:{(23,1),(24,1),(46,1)}
      35:{2,3,5}:{(23,1),(25,1),(46,1),(47,1),(48,1),(67,1),(70,1)}
      36:{1,3,5}:{(24,1),(27,1),(46,1),(49,1),(50,1),(67,1)}
      37:{1,4}:{(25,1),(28,1),(47,1)}
      38:{1,3,6}:{(25,1),(26,1),(29,1),(48,1),(51,1)}
      39:{2,4,5}:{(27,1),(28,1),(49,1),(52,1),(53,1),(55,1)}
      40:{2,3,6}:{(27,1),(50,1),(53,1)}
      41:{3,4}:{(28,1),(30,1)}
      42:{2,4,6}:{(28,1),(29,1),(51,1),(54,1),(55,1)}
      43:{3,6}:{(30,1),(31,1)}
      44:{2,5,6}:{(31,1),(32,1),(55,1),(56,1)}
      45:{4,5,6}:{(33,1),(79,1)}
      46:{2,5}:{(34,1),(36,1),(58,1)}
      47:{2,4}:{(35,1),(37,1),(59,1)}
      48:{2,3,6}:{(35,1),(38,1),(58,1),(60,1),(74,1)}
      49:{1,4,5}:{(36,1),(37,1),(39,1),(57,1),(61,1),(62,1)}
      50:{1,3,6}:{(36,1),(40,1),(58,1),(61,1),(74,1)}
      51:{1,4,6}:{(37,1),(38,1),(42,1),(60,1),(62,1)}
      52:{3,4,5}:{(39,1),(41,1),(63,1),(65,1)}
      53:{2,4,6}:{(39,1),(40,1),(61,1),(63,1),(64,1)}
      54:{3,4,6}:{(41,1),(42,1),(43,1),(65,1),(66,1)}
      55:{2,5}:{(42,1),(62,1),(65,1)}
      56:{3,5,6}:{(43,1),(44,1),(65,1),(66,1)}
      57:{2,4,5}:{(46,1),(47,1),(49,1),(67,1),(68,1),(70,1),(79,1)}
      58:{2,6}:{(46,1),(50,1)}
      59:{3,4}:{(47,1),(67,1)}
      60:{2,4,6}:{(47,1),(48,1),(51,1),(69,1),(70,1)}
      61:{1,4,6}:{(49,1),(50,1),(53,1),(68,1),(71,1)}
      62:{1,5}:{(51,1),(55,1),(70,1)}
      63:{3,4,6}:{(52,1),(53,1),(72,1)}
      64:{2,5,6}:{(53,1),(55,1),(71,1),(72,1)}
      65:{3,5}:{(54,1),(55,1),(73,1)}
      66:{4,6}:{(56,1),(73,1)}
      67:{3,5}:{(57,1),(59,1),(74,1)}
      68:{2,4,6}:{(57,1),(58,1),(61,1),(74,1),(75,1),(80,1)}
      69:{3,4,6}:{(59,1),(60,1),(74,1),(76,1),(80,1)}
      70:{2,5}:{(60,1),(62,1),(76,1)}
      71:{1,5,6}:{(61,1),(62,1),(64,1),(75,1)}
      72:{3,5,6}:{(63,1),(64,1),(65,1),(77,1)}
      73:{4,5}:{(65,1),(66,1)}
      74:{3,6}:{(67,1),(68,1)}
      75:{2,5,6}:{(68,1),(70,1),(71,1),(78,1)}
      76:{3,5}:{(69,1),(70,1),(79,1)}
      77:{4,5,6}:{(72,1),(73,1)}
      78:{3,5,6}:{(74,1),(75,1),(76,1),(80,1)}
      79:{4,5}:{(76,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

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

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

117 :  0:{3,4,6}:{(2,1),(3,1),(14,1),(20,1),(31,1)}
       1:{2,3,6}:{(2,1),(4,1),(5,1),(31,1),(47,1)}
       2:{2,4,6}:{(0,1),(1,1),(7,1),(8,1),(12,1)}
       3:{3,5}:{(0,1),(8,1),(9,1)}
       4:{1,3,6}:{(1,1),(7,1),(10,1),(11,1),(23,1),(55,1)}
       5:{2,3,5}:{(1,1),(8,1),(11,1),(12,1),(26,1),(42,1),(43,1)}
       6:{3,5,6}:{(3,1),(13,1),(14,1),(31,1),(73,1)}
       7:{1,4,6}:{(2,1),(4,1),(15,1),(16,1),(19,1)}
       8:{2,5}:{(2,1),(3,1),(16,1)}
       9:{4,5}:{(3,1),(14,1)}
      10:{2,6}:{(4,1),(18,1)}
      11:{1,3,5}:{(4,1),(5,1),(16,1),(18,1),(19,1),(32,1),(35,1),(50,1),(51,1)}
      12:{2,4}:{(5,1),(19,1),(20,1)}
      13:{2,5,6}:{(6,1),(8,1),(21,1),(22,1),(71,1)}
      14:{4,6}:{(6,1),(9,1),(74,1)}
      15:{2,4,6}:{(7,1),(10,1),(23,1),(24,1),(27,1),(40,1)}
      16:{1,5}:{(7,1),(8,1),(24,1)}
      17:{2,4,5}:{(8,1),(9,1),(12,1),(22,1),(25,1),(26,1),(42,1),(67,1),(71,1),(74,1)}
      18:{2,5}:{(10,1),(11,1),(27,1),(58,1)}
      19:{1,4}:{(11,1),(12,1),(27,1),(40,1)}
      20:{3,4}:{(12,1),(26,1),(74,1)}
      21:{1,5,6}:{(13,1),(16,1),(29,1),(30,1),(68,1)}
      22:{2,4,6}:{(13,1),(14,1),(17,1),(30,1),(31,1),(47,1)}
      23:{3,6}:{(15,1),(32,1),(35,1)}
      24:{2,5}:{(15,1),(16,1),(32,1)}
      25:{1,4,5}:{(16,1),(17,1),(19,1),(30,1),(33,1),(34,1),(50,1),(62,1),(68,1)}
      26:{3,5}:{(17,1),(20,1),(31,1),(70,1)}
      27:{2,4}:{(18,1),(19,1),(35,1)}
      28:{1,3,4}:{(19,1),(20,1),(34,1),(35,1),(36,1),(48,1),(51,1),(62,1),(70,1)}
      29:{2,5,6}:{(21,1),(24,1),(37,1),(38,1),(64,1)}
      30:{1,4,6}:{(21,1),(22,1),(25,1),(38,1),(39,1),(55,1)}
      31:{3,6}:{(22,1),(26,1)}
      32:{3,5}:{(23,1),(24,1),(40,1)}
      33:{2,4,5}:{(24,1),(25,1),(27,1),(38,1),(40,1),(41,1),(42,1),(52,1),(56,1),(64,1)}
      34:{1,3,5}:{(25,1),(26,1),(28,1),(39,1),(41,1),(42,1)}
      35:{3}:{(27,1)}
      36:{2,4}:{(28,1),(42,1),(43,1),(44,1),(58,1)}
      37:{3,5,6}:{(29,1),(32,1),(45,1),(46,1),(59,1)}
      38:{2,4,6}:{(29,1),(30,1),(33,1),(45,1),(46,1),(47,1)}
      39:{1,3,6}:{(30,1),(31,1),(34,1),(46,1),(47,1)}
      40:{4}:{(32,1)}
      41:{3,5}:{(33,1),(35,1),(46,1),(48,1)}
      42:{2,5}:{(34,1),(36,1),(47,1),(50,1)}
      43:{2,3}:{(35,1),(36,1),(51,1),(70,1)}
      44:{1,4}:{(36,1),(50,1),(51,1)}
      45:{4,6}:{(37,1),(40,1),(52,1)}
      46:{3,6}:{(38,1),(41,1)}
      47:{2,6}:{(39,1),(42,1),(55,1)}
      48:{3,4}:{(40,1),(41,1),(56,1)}
      49:{2,3,5}:{(41,1),(42,1),(43,1),(54,1),(56,1),(57,1),(64,1)}
      50:{1,5}:{(42,1),(44,1),(55,1)}
      51:{1,3}:{(43,1),(44,1),(58,1)}
      52:{4,5}:{(45,1),(59,1)}
      53:{3,4,6}:{(45,1),(46,1),(48,1),(59,1),(60,1)}
      54:{2,3,6}:{(46,1),(47,1),(49,1),(60,1),(61,1)}
      55:{1,6}:{(47,1),(50,1)}
      56:{2,4}:{(48,1),(49,1),(62,1)}
      57:{1,3,5}:{(49,1),(50,1),(51,1),(61,1),(62,1),(63,1),(68,1),(70,1),(73,1)}
      58:{2}:{(51,1)}
      59:{3,5}:{(52,1),(53,1),(64,1)}
      60:{2,4,6}:{(53,1),(54,1),(56,1),(64,1),(65,1)}
      61:{1,3,6}:{(54,1),(55,1),(57,1),(65,1),(66,1),(72,1)}
      62:{1,4}:{(56,1),(57,1),(67,1),(74,1)}
      63:{2,5}:{(57,1),(58,1),(66,1),(67,1)}
      64:{2,5}:{(59,1),(60,1),(68,1)}
      65:{1,4,6}:{(60,1),(61,1),(62,1),(68,1),(69,1)}
      66:{2,6}:{(61,1),(63,1)}
      67:{2,4}:{(62,1),(63,1),(70,1)}
      68:{1,5}:{(64,1),(65,1),(71,1)}
      69:{2,4,6}:{(65,1),(66,1),(67,1),(71,1),(72,1),(74,1)}
      70:{3}:{(67,1)}
      71:{2,5}:{(68,1),(69,1),(73,1)}
      72:{3,6}:{(69,1),(70,1),(73,1)}
      73:{3,5}:{(71,1),(72,1),(74,1)}
      74:{4}:{(73,1)}

118 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1),(43,1)}
       2:{1,2,5}:{(0,1),(5,1),(12,1),(44,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(10,1),(21,1),(24,1),(33,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(9,1),(33,1),(40,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(41,1),(42,1)}
       6:{2,4,6}:{(3,1),(4,1),(11,1),(12,1),(17,1)}
       7:{1,3,5}:{(3,1),(12,1),(14,1),(28,1)}
       8:{1,3,6}:{(4,1),(11,1),(15,1),(16,1)}
       9:{2,3,5}:{(4,1),(5,1),(12,1),(16,1),(17,1),(28,1),(37,1),(38,1)}
      10:{1,4}:{(5,1),(17,1)}
      11:{1,4,6}:{(6,1),(8,1),(18,1),(23,1)}
      12:{2,5}:{(6,1),(7,1),(18,1)}
      13:{1,3,5,6}:{(7,1),(19,1),(21,1),(33,1)}
      14:{1,4,5}:{(7,1),(10,1),(20,1),(21,1),(41,1)}
      15:{1,2,6}:{(8,1),(22,1),(40,1)}
      16:{1,3,5}:{(8,1),(9,1),(18,1),(22,1),(23,1),(34,1)}
      17:{2,4}:{(9,1),(10,1),(23,1),(24,1)}
      18:{1,5}:{(11,1),(12,1)}
      19:{2,5,6}:{(12,1),(13,1),(25,1),(27,1)}
      20:{2,4,5}:{(12,1),(14,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      21:{1,4,6}:{(13,1),(14,1),(27,1),(43,1)}
      22:{1,2,5}:{(15,1),(16,1),(29,1),(37,1)}
      23:{1,4}:{(16,1),(17,1)}
      24:{3,4}:{(17,1),(28,1)}
      25:{1,5,6}:{(18,1),(19,1),(31,1)}
      26:{1,4,5}:{(18,1),(20,1),(23,1),(31,1),(32,1)}
      27:{2,4,6}:{(19,1),(20,1),(21,1),(31,1),(33,1),(40,1)}
      28:{3,5}:{(20,1),(24,1),(33,1)}
      29:{1,2,4}:{(22,1),(23,1),(34,1),(35,1)}
      30:{1,3,4}:{(23,1),(24,1),(32,1),(34,1),(35,1)}
      31:{1,4,6}:{(25,1),(26,1),(27,1),(36,1)}
      32:{1,3,5}:{(26,1),(28,1),(30,1),(36,1),(37,1)}
      33:{3,6}:{(27,1),(28,1)}
      34:{1,3}:{(29,1),(38,1)}
      35:{2,4}:{(30,1),(37,1),(38,1),(39,1)}
      36:{1,3,6}:{(31,1),(32,1),(33,1),(40,1)}
      37:{2,5}:{(32,1),(35,1),(40,1),(41,1)}
      38:{2,3}:{(34,1),(35,1),(42,1)}
      39:{1,4}:{(35,1),(41,1),(42,1)}
      40:{2,6}:{(36,1),(37,1),(43,1)}
      41:{1,5}:{(37,1),(39,1),(43,1)}
      42:{1,3}:{(38,1),(39,1),(44,1)}
      43:{1,6}:{(40,1),(41,1)}
      44:{1,2}:{(42,1)}

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

120 :  0:{1,2,4}:{(1,1),(2,1),(10,1),(13,1)}
       1:{1,3}:{(0,1),(4,1)}
       2:{1,2,5}:{(0,1),(6,1),(7,1),(19,1),(57,1)}
       3:{1,2}:{(8,1)}
       4:{2,3}:{(1,1),(8,1),(10,1)}
       5:{1,3,4}:{(1,1),(10,1),(12,1),(13,1),(31,1)}
       6:{1,3,5}:{(1,1),(2,1),(11,1),(13,1),(14,1),(34,1),(49,1),(60,1)}
       7:{1,2,6}:{(2,1),(14,1),(30,1)}
       8:{1,3}:{(3,1),(4,1),(15,1)}
       9:{1,2,5}:{(3,1),(16,1),(17,1),(18,1),(53,1)}
      10:{2,4}:{(4,1),(5,1),(15,1),(19,1)}
      11:{2,3,5}:{(4,1),(6,1),(16,1),(19,1),(20,1),(21,1),(39,1),(40,1),(43,1),(53,1)}
      12:{1,3,5}:{(5,1),(19,1),(22,1),(23,1),(40,1)}
      13:{1,4}:{(6,1),(20,1)}
      14:{1,3,6}:{(6,1),(7,1),(21,1),(24,1),(63,1)}
      15:{1,4}:{(8,1),(10,1),(25,1)}
      16:{1,3,5}:{(8,1),(9,1),(11,1),(25,1),(26,1),(27,1),(28,1),(48,1)}
      17:{1,2,4}:{(9,1),(26,1),(28,1),(47,1)}
      18:{1,2,6}:{(9,1),(27,1),(61,1)}
      19:{2,5}:{(10,1),(12,1),(25,1),(30,1)}
      20:{2,4}:{(11,1),(13,1),(26,1),(31,1)}
      21:{2,3,6}:{(11,1),(14,1),(27,1),(30,1),(32,1),(50,1),(61,1)}
      22:{1,4,5}:{(12,1),(13,1),(29,1),(33,1),(34,1),(60,1)}
      23:{1,3,6}:{(12,1),(30,1),(33,1),(50,1)}
      24:{1,4,6}:{(13,1),(14,1),(32,1),(34,1)}
      25:{1,5}:{(15,1),(19,1),(36,1)}
      26:{1,4}:{(16,1),(20,1)}
      27:{1,3,6}:{(16,1),(18,1),(21,1),(36,1),(38,1)}
      28:{1,3}:{(17,1),(39,1)}
      29:{2,4,5}:{(19,1),(20,1),(22,1),(35,1),(40,1),(41,1),(43,1),(53,1),(59,1)}
      30:{2,6}:{(19,1),(23,1),(36,1)}
      31:{3,4}:{(20,1),(40,1)}
      32:{2,4,6}:{(20,1),(21,1),(24,1),(38,1),(42,1),(43,1)}
      33:{1,4,6}:{(22,1),(23,1),(41,1),(44,1),(63,1)}
      34:{1,5}:{(24,1),(43,1)}
      35:{1,4,5}:{(25,1),(26,1),(29,1),(45,1),(46,1),(48,1)}
      36:{1,6}:{(25,1),(30,1)}
      37:{1,3,4}:{(26,1),(28,1),(31,1),(45,1),(47,1)}
      38:{1,4,6}:{(26,1),(27,1),(32,1),(48,1)}
      39:{2,3}:{(28,1),(47,1),(49,1)}
      40:{3,5}:{(29,1),(31,1),(50,1)}
      41:{2,4,6}:{(29,1),(30,1),(33,1),(46,1),(50,1),(51,1),(61,1),(62,1)}
      42:{3,4,6}:{(31,1),(32,1),(50,1),(52,1),(62,1)}
      43:{2,5}:{(32,1),(34,1),(48,1),(52,1)}
      44:{1,5,6}:{(33,1),(34,1),(51,1)}
      45:{1,3,5}:{(35,1),(37,1),(40,1),(53,1),(54,1)}
      46:{1,4,6}:{(35,1),(36,1),(41,1),(54,1),(55,1)}
      47:{2,4}:{(37,1),(39,1),(53,1),(56,1)}
      48:{1,5}:{(38,1),(43,1)}
      49:{1,3}:{(39,1),(56,1),(57,1)}
      50:{3,6}:{(40,1),(41,1)}
      51:{2,5,6}:{(41,1),(43,1),(44,1),(55,1),(58,1)}
      52:{3,5}:{(42,1),(43,1),(59,1)}
      53:{2,5}:{(45,1),(47,1),(60,1),(61,1)}
      54:{1,3,6}:{(45,1),(46,1),(50,1),(61,1)}
      55:{1,5,6}:{(46,1),(48,1),(51,1)}
      56:{1,4}:{(47,1),(49,1),(60,1)}
      57:{1,2}:{(49,1)}
      58:{3,5,6}:{(50,1),(51,1),(52,1),(62,1)}
      59:{4,5}:{(52,1),(62,1)}
      60:{1,5}:{(53,1),(56,1),(63,1)}
      61:{2,6}:{(53,1),(54,1),(63,1)}
      62:{4,6}:{(58,1),(59,1)}
      63:{1,6}:{(60,1),(61,1)}

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

122 :  0:{1,2,5}:{(1,1),(2,1),(3,1),(37,1),(56,1)}
       1:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(8,1),(27,1),(46,1),(60,1)}
       2:{1,2,4}:{(0,1),(6,1),(8,1),(26,1)}
       3:{1,2,6}:{(0,1),(7,1),(51,1)}
       4:{1,2,5}:{(9,1),(10,1),(11,1),(41,1),(52,1)}
       5:{2,3,5}:{(1,1),(9,1),(12,1),(13,1),(17,1),(32,1),(33,1),(36,1),(37,1),(52,1)}
       6:{1,4}:{(1,1),(12,1)}
       7:{1,3,6}:{(1,1),(3,1),(13,1),(16,1),(63,1)}
       8:{1,3}:{(2,1),(17,1)}
       9:{1,3,5}:{(4,1),(5,1),(18,1),(19,1),(20,1),(28,1),(45,1),(50,1)}
      10:{1,2,4}:{(4,1),(18,1),(20,1),(44,1)}
      11:{1,2,6}:{(4,1),(19,1),(61,1)}
      12:{2,4}:{(5,1),(6,1),(18,1),(22,1)}
      13:{2,3,6}:{(5,1),(7,1),(19,1),(23,1),(47,1),(51,1),(61,1)}
      14:{1,4,5}:{(6,1),(21,1),(24,1),(25,1),(27,1),(60,1)}
      15:{1,3,4}:{(6,1),(8,1),(22,1),(24,1),(26,1)}
      16:{1,4,6}:{(6,1),(7,1),(23,1),(27,1)}
      17:{2,3}:{(8,1),(26,1),(28,1)}
      18:{1,4}:{(9,1),(12,1)}
      19:{1,3,6}:{(9,1),(11,1),(13,1),(31,1),(59,1)}
      20:{1,3}:{(10,1),(32,1)}
      21:{2,4,5}:{(12,1),(14,1),(29,1),(33,1),(34,1),(36,1),(37,1),(52,1),(58,1)}
      22:{3,4}:{(12,1),(33,1)}
      23:{2,4,6}:{(12,1),(13,1),(16,1),(31,1),(35,1),(36,1)}
      24:{1,3,5}:{(14,1),(15,1),(33,1),(37,1),(38,1)}
      25:{1,4,6}:{(14,1),(34,1),(38,1),(39,1),(63,1)}
      26:{2,4}:{(15,1),(17,1),(37,1),(40,1)}
      27:{1,5}:{(16,1),(36,1)}
      28:{1,3}:{(17,1),(40,1),(41,1)}
      29:{1,4,5}:{(18,1),(21,1),(42,1),(43,1),(45,1),(50,1)}
      30:{1,3,4}:{(18,1),(20,1),(22,1),(42,1),(44,1)}
      31:{1,4,6}:{(18,1),(19,1),(23,1),(45,1)}
      32:{2,3}:{(20,1),(44,1),(46,1)}
      33:{3,5}:{(21,1),(22,1),(47,1)}
      34:{2,4,6}:{(21,1),(25,1),(43,1),(47,1),(48,1),(51,1),(61,1),(62,1)}
      35:{3,4,6}:{(22,1),(23,1),(47,1),(49,1),(62,1)}
      36:{2,5}:{(23,1),(27,1),(45,1),(49,1)}
      37:{2,5}:{(24,1),(26,1),(50,1),(51,1)}
      38:{1,3,6}:{(24,1),(25,1),(47,1),(51,1)}
      39:{1,5,6}:{(25,1),(27,1),(48,1)}
      40:{1,4}:{(26,1),(28,1),(50,1)}
      41:{1,2}:{(28,1)}
      42:{1,3,5}:{(29,1),(30,1),(33,1),(52,1),(53,1)}
      43:{1,4,6}:{(29,1),(34,1),(53,1),(54,1),(59,1)}
      44:{2,4}:{(30,1),(32,1),(52,1),(55,1)}
      45:{1,5}:{(31,1),(36,1)}
      46:{1,3}:{(32,1),(55,1),(56,1)}
      47:{3,6}:{(33,1),(34,1)}
      48:{2,5,6}:{(34,1),(36,1),(39,1),(54,1),(57,1)}
      49:{3,5}:{(35,1),(36,1),(58,1)}
      50:{1,5}:{(37,1),(40,1),(59,1)}
      51:{2,6}:{(37,1),(38,1),(59,1)}
      52:{2,5}:{(42,1),(44,1),(60,1),(61,1)}
      53:{1,3,6}:{(42,1),(43,1),(47,1),(61,1)}
      54:{1,5,6}:{(43,1),(45,1),(48,1)}
      55:{1,4}:{(44,1),(46,1),(60,1)}
      56:{1,2}:{(46,1)}
      57:{3,5,6}:{(47,1),(48,1),(49,1),(62,1)}
      58:{4,5}:{(49,1),(62,1)}
      59:{1,6}:{(50,1),(51,1)}
      60:{1,5}:{(52,1),(55,1),(63,1)}
      61:{2,6}:{(52,1),(53,1),(63,1)}
      62:{4,6}:{(57,1),(58,1)}
      63:{1,6}:{(60,1),(61,1)}

123 :  0:{1,2,6}:{(1,1),(2,1),(54,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1),(6,1),(63,1)}
       2:{1,2,5}:{(0,1),(6,1),(7,1),(45,1),(59,1)}
       3:{1,2,6}:{(8,1),(9,1),(61,1)}
       4:{2,3,6}:{(1,1),(8,1),(10,1),(11,1),(53,1),(54,1),(61,1)}
       5:{1,4,6}:{(1,1),(10,1),(12,1),(13,1)}
       6:{1,3,5}:{(1,1),(2,1),(11,1),(12,1),(13,1),(14,1),(51,1),(62,1)}
       7:{1,2,4}:{(2,1),(13,1),(14,1),(34,1)}
       8:{1,3,6}:{(3,1),(4,1),(15,1),(16,1),(60,1)}
       9:{1,2,5}:{(3,1),(16,1),(17,1),(47,1),(57,1)}
      10:{2,4,6}:{(4,1),(5,1),(15,1),(18,1),(19,1),(20,1)}
      11:{2,3,5}:{(4,1),(6,1),(16,1),(19,1),(20,1),(24,1),(39,1),(43,1),(45,1),(57,1)}
      12:{1,5}:{(5,1),(19,1)}
      13:{1,4}:{(6,1),(20,1)}
      14:{1,3}:{(7,1),(24,1)}
      15:{1,4,6}:{(8,1),(10,1),(25,1),(26,1)}
      16:{1,3,5}:{(8,1),(9,1),(11,1),(25,1),(26,1),(27,1),(35,1),(55,1)}
      17:{1,2,4}:{(9,1),(26,1),(27,1),(50,1)}
      18:{3,4,6}:{(10,1),(28,1),(31,1),(52,1),(53,1)}
      19:{2,5}:{(10,1),(12,1),(25,1),(28,1)}
      20:{2,4}:{(11,1),(13,1),(26,1),(31,1)}
      21:{1,5,6}:{(12,1),(29,1),(32,1)}
      22:{1,4,5}:{(12,1),(13,1),(30,1),(32,1),(33,1),(62,1)}
      23:{1,3,4}:{(13,1),(14,1),(31,1),(33,1),(34,1)}
      24:{2,3}:{(14,1),(34,1),(35,1)}
      25:{1,5}:{(15,1),(19,1)}
      26:{1,4}:{(16,1),(20,1)}
      27:{1,3}:{(17,1),(39,1)}
      28:{3,5}:{(18,1),(19,1),(41,1)}
      29:{2,5,6}:{(19,1),(21,1),(36,1),(40,1),(42,1)}
      30:{2,4,5}:{(19,1),(20,1),(22,1),(37,1),(41,1),(42,1),(43,1),(45,1),(57,1)}
      31:{3,4}:{(20,1),(43,1)}
      32:{1,4,6}:{(21,1),(22,1),(42,1),(44,1),(63,1)}
      33:{1,3,5}:{(22,1),(23,1),(43,1),(44,1),(45,1)}
      34:{2,4}:{(23,1),(24,1),(45,1),(46,1)}
      35:{1,3}:{(24,1),(46,1),(47,1)}
      36:{1,5,6}:{(25,1),(29,1),(48,1)}
      37:{1,4,5}:{(25,1),(26,1),(30,1),(48,1),(49,1),(55,1)}
      38:{1,3,4}:{(26,1),(27,1),(31,1),(49,1),(50,1)}
      39:{2,3}:{(27,1),(50,1),(51,1)}
      40:{3,5,6}:{(28,1),(29,1),(52,1),(53,1)}
      41:{4,5}:{(28,1),(52,1)}
      42:{2,4,6}:{(29,1),(30,1),(32,1),(48,1),(52,1),(53,1),(54,1),(61,1)}
      43:{3,5}:{(30,1),(31,1),(53,1)}
      44:{1,3,6}:{(32,1),(33,1),(53,1),(54,1)}
      45:{2,5}:{(33,1),(34,1),(54,1),(55,1)}
      46:{1,4}:{(34,1),(35,1),(55,1)}
      47:{1,2}:{(35,1)}
      48:{1,4,6}:{(36,1),(37,1),(42,1),(56,1),(60,1)}
      49:{1,3,5}:{(37,1),(38,1),(43,1),(56,1),(57,1)}
      50:{2,4}:{(38,1),(39,1),(57,1),(58,1)}
      51:{1,3}:{(39,1),(58,1),(59,1)}
      52:{4,6}:{(40,1),(41,1)}
      53:{3,6}:{(42,1),(43,1)}
      54:{2,6}:{(44,1),(45,1),(60,1)}
      55:{1,5}:{(45,1),(46,1),(60,1)}
      56:{1,3,6}:{(48,1),(49,1),(53,1),(61,1)}
      57:{2,5}:{(49,1),(50,1),(61,1),(62,1)}
      58:{1,4}:{(50,1),(51,1),(62,1)}
      59:{1,2}:{(51,1)}
      60:{1,6}:{(54,1),(55,1)}
      61:{2,6}:{(56,1),(57,1),(63,1)}
      62:{1,5}:{(57,1),(58,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

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

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

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

127 :  0:{3,4,6}:{(2,1),(3,1),(17,1),(20,1),(34,1)}
       1:{2,3,6}:{(2,1),(4,1),(5,1),(34,1),(49,1)}
       2:{2,4,6}:{(0,1),(1,1),(6,1),(7,1),(12,1)}
       3:{3,5}:{(0,1),(7,1),(9,1)}
       4:{1,3,6}:{(1,1),(6,1),(10,1),(11,1),(21,1),(57,1)}
       5:{2,3,5}:{(1,1),(7,1),(11,1),(12,1),(26,1),(42,1),(43,1)}
       6:{1,4,6}:{(2,1),(4,1),(13,1),(14,1),(19,1)}
       7:{2,5}:{(2,1),(3,1),(14,1)}
       8:{3,5,6}:{(3,1),(15,1),(17,1),(34,1),(73,1)}
       9:{4,5}:{(3,1),(17,1)}
      10:{2,6}:{(4,1),(18,1)}
      11:{1,3,5}:{(4,1),(5,1),(14,1),(18,1),(19,1),(29,1),(35,1),(50,1),(51,1)}
      12:{2,4}:{(5,1),(19,1),(20,1)}
      13:{2,4,6}:{(6,1),(10,1),(21,1),(22,1),(27,1),(38,1)}
      14:{1,5}:{(6,1),(7,1),(22,1)}
      15:{2,5,6}:{(7,1),(8,1),(23,1),(25,1),(71,1)}
      16:{2,4,5}:{(7,1),(9,1),(12,1),(24,1),(25,1),(26,1),(42,1),(66,1),(71,1),(74,1)}
      17:{4,6}:{(8,1),(9,1),(74,1)}
      18:{2,5}:{(10,1),(11,1),(27,1),(58,1)}
      19:{1,4}:{(11,1),(12,1),(27,1),(38,1)}
      20:{3,4}:{(12,1),(26,1),(74,1)}
      21:{3,6}:{(13,1),(29,1),(35,1)}
      22:{2,5}:{(13,1),(14,1),(29,1)}
      23:{1,5,6}:{(14,1),(15,1),(30,1),(32,1),(68,1)}
      24:{1,4,5}:{(14,1),(16,1),(19,1),(31,1),(32,1),(33,1),(50,1),(61,1),(68,1)}
      25:{2,4,6}:{(15,1),(16,1),(17,1),(32,1),(34,1),(49,1)}
      26:{3,5}:{(16,1),(20,1),(34,1),(70,1)}
      27:{2,4}:{(18,1),(19,1),(35,1)}
      28:{1,3,4}:{(19,1),(20,1),(33,1),(35,1),(36,1),(46,1),(51,1),(61,1),(70,1)}
      29:{3,5}:{(21,1),(22,1),(38,1)}
      30:{2,5,6}:{(22,1),(23,1),(37,1),(39,1),(64,1)}
      31:{2,4,5}:{(22,1),(24,1),(27,1),(38,1),(39,1),(40,1),(42,1),(52,1),(54,1),(64,1)}
      32:{1,4,6}:{(23,1),(24,1),(25,1),(39,1),(41,1),(57,1)}
      33:{1,3,5}:{(24,1),(26,1),(28,1),(40,1),(41,1),(42,1)}
      34:{3,6}:{(25,1),(26,1)}
      35:{3}:{(27,1)}
      36:{2,4}:{(28,1),(42,1),(43,1),(44,1),(58,1)}
      37:{3,5,6}:{(29,1),(30,1),(45,1),(47,1),(59,1)}
      38:{4}:{(29,1)}
      39:{2,4,6}:{(30,1),(31,1),(32,1),(45,1),(47,1),(49,1)}
      40:{3,5}:{(31,1),(35,1),(46,1),(47,1)}
      41:{1,3,6}:{(32,1),(33,1),(34,1),(47,1),(49,1)}
      42:{2,5}:{(33,1),(36,1),(49,1),(50,1)}
      43:{2,3}:{(35,1),(36,1),(51,1),(70,1)}
      44:{1,4}:{(36,1),(50,1),(51,1)}
      45:{4,6}:{(37,1),(38,1),(52,1)}
      46:{3,4}:{(38,1),(40,1),(54,1)}
      47:{3,6}:{(39,1),(40,1)}
      48:{2,3,5}:{(40,1),(42,1),(43,1),(54,1),(55,1),(56,1),(64,1)}
      49:{2,6}:{(41,1),(42,1),(57,1)}
      50:{1,5}:{(42,1),(44,1),(57,1)}
      51:{1,3}:{(43,1),(44,1),(58,1)}
      52:{4,5}:{(45,1),(59,1)}
      53:{3,4,6}:{(45,1),(46,1),(47,1),(59,1),(60,1)}
      54:{2,4}:{(46,1),(48,1),(61,1)}
      55:{2,3,6}:{(47,1),(48,1),(49,1),(60,1),(62,1)}
      56:{1,3,5}:{(48,1),(50,1),(51,1),(61,1),(62,1),(63,1),(68,1),(70,1),(73,1)}
      57:{1,6}:{(49,1),(50,1)}
      58:{2}:{(51,1)}
      59:{3,5}:{(52,1),(53,1),(64,1)}
      60:{2,4,6}:{(53,1),(54,1),(55,1),(64,1),(65,1)}
      61:{1,4}:{(54,1),(56,1),(66,1),(74,1)}
      62:{1,3,6}:{(55,1),(56,1),(57,1),(65,1),(67,1),(72,1)}
      63:{2,5}:{(56,1),(58,1),(66,1),(67,1)}
      64:{2,5}:{(59,1),(60,1),(68,1)}
      65:{1,4,6}:{(60,1),(61,1),(62,1),(68,1),(69,1)}
      66:{2,4}:{(61,1),(63,1),(70,1)}
      67:{2,6}:{(62,1),(63,1)}
      68:{1,5}:{(64,1),(65,1),(71,1)}
      69:{2,4,6}:{(65,1),(66,1),(67,1),(71,1),(72,1),(74,1)}
      70:{3}:{(66,1)}
      71:{2,5}:{(68,1),(69,1),(73,1)}
      72:{3,6}:{(69,1),(70,1),(73,1)}
      73:{3,5}:{(71,1),(72,1),(74,1)}
      74:{4}:{(73,1)}

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

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

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

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

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

133 :  0:{1,5,6}:{(3,1),(5,1),(52,1)}
       1:{1,4,5}:{(4,1),(5,1),(6,1),(38,1),(41,1),(52,1)}
       2:{1,3,4}:{(6,1),(7,1),(20,1),(23,1),(41,1),(54,1)}
       3:{2,5,6}:{(0,1),(8,1),(10,1),(11,1),(47,1),(56,1)}
       4:{2,4,5}:{(1,1),(9,1),(11,1),(12,1),(15,1),(28,1),(29,1),(31,1),(47,1),(49,1),(56,1),(59,1)}
       5:{1,4,6}:{(0,1),(1,1),(11,1),(14,1),(46,1)}
       6:{1,3,5}:{(1,1),(2,1),(12,1),(14,1),(15,1)}
       7:{2,4}:{(2,1),(13,1),(15,1),(16,1),(34,1)}
       8:{1,5,6}:{(3,1),(17,1),(52,1)}
       9:{1,4,5}:{(4,1),(17,1),(18,1),(25,1),(41,1),(52,1)}
      10:{3,5,6}:{(3,1),(19,1),(21,1),(39,1),(58,1)}
      11:{2,4,6}:{(3,1),(4,1),(5,1),(17,1),(19,1),(21,1),(24,1),(37,1)}
      12:{3,5}:{(4,1),(20,1),(21,1),(54,1)}
      13:{2,3}:{(7,1),(23,1),(54,1)}
      14:{1,3,6}:{(5,1),(6,1),(21,1),(24,1)}
      15:{2,5}:{(6,1),(7,1),(24,1),(25,1)}
      16:{1,4}:{(7,1),(23,1),(25,1)}
      17:{1,4,6}:{(8,1),(9,1),(11,1),(27,1),(35,1)}
      18:{1,3,5}:{(9,1),(12,1),(26,1),(27,1),(28,1)}
      19:{4,6}:{(10,1),(29,1),(59,1)}
      20:{3,4}:{(12,1),(31,1),(59,1)}
      21:{3,6}:{(11,1),(12,1)}
      22:{2,3,5}:{(12,1),(13,1),(15,1),(28,1),(31,1),(32,1),(33,1),(44,1),(47,1)}
      23:{1,3}:{(13,1),(16,1),(34,1)}
      24:{2,6}:{(14,1),(15,1),(35,1)}
      25:{1,5}:{(15,1),(16,1),(35,1)}
      26:{1,3,4}:{(18,1),(20,1),(36,1),(41,1),(51,1),(54,1)}
      27:{1,3,6}:{(17,1),(18,1),(21,1),(37,1)}
      28:{2,5}:{(18,1),(36,1),(37,1),(38,1)}
      29:{4,5}:{(19,1),(39,1)}
      30:{3,4,6}:{(19,1),(20,1),(21,1),(39,1),(40,1)}
      31:{2,4}:{(20,1),(22,1),(41,1)}
      32:{2,3,6}:{(21,1),(22,1),(24,1),(37,1),(40,1),(42,1)}
      33:{1,3,5}:{(22,1),(23,1),(25,1),(38,1),(41,1),(42,1),(43,1),(51,1),(52,1),(54,1),(58,1)}
      34:{2}:{(23,1)}
      35:{1,6}:{(24,1),(25,1)}
      36:{2,4}:{(26,1),(28,1),(44,1),(45,1),(55,1)}
      37:{2,6}:{(27,1),(28,1),(46,1)}
      38:{1,5}:{(28,1),(45,1),(46,1)}
      39:{3,5}:{(29,1),(30,1),(47,1)}
      40:{2,4,6}:{(30,1),(31,1),(32,1),(47,1),(48,1)}
      41:{1,4}:{(31,1),(33,1),(49,1),(59,1)}
      42:{1,3,6}:{(32,1),(33,1),(35,1),(46,1),(48,1),(50,1),(57,1)}
      43:{2,5}:{(33,1),(34,1),(49,1),(50,1),(55,1)}
      44:{2,3}:{(36,1),(51,1),(54,1)}
      45:{1,4}:{(36,1),(38,1),(51,1)}
      46:{1,6}:{(37,1),(38,1)}
      47:{2,5}:{(39,1),(40,1),(52,1)}
      48:{1,4,6}:{(40,1),(41,1),(42,1),(52,1),(53,1)}
      49:{2,4}:{(41,1),(43,1),(54,1)}
      50:{2,6}:{(42,1),(43,1)}
      51:{1,3}:{(44,1),(45,1),(55,1)}
      52:{1,5}:{(47,1),(48,1),(56,1)}
      53:{2,4,6}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      54:{3}:{(49,1)}
      55:{2}:{(51,1)}
      56:{2,5}:{(52,1),(53,1),(58,1)}
      57:{3,6}:{(53,1),(54,1),(58,1)}
      58:{3,5}:{(56,1),(57,1),(59,1)}
      59:{4}:{(58,1)}

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

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

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

137 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(13,1),(22,1),(23,1),(26,1),(31,1)}
       1:{2,4,6}:{(0,1),(3,1),(4,1),(5,1),(14,1),(16,1),(27,1)}
       2:{1,3,5}:{(0,1),(5,1),(7,1),(20,1)}
       3:{2,3,6}:{(1,1),(8,1),(9,1),(26,1),(31,1),(33,1)}
       4:{1,4,6}:{(1,1),(8,1),(10,1),(22,1)}
       5:{2,5}:{(1,1),(2,1),(10,1)}
       6:{1,3,5,6}:{(2,1),(11,1),(13,1),(26,1)}
       7:{1,4,5}:{(2,1),(12,1),(13,1),(22,1),(34,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1),(37,1)}
       9:{2,3,5}:{(3,1),(5,1),(15,1),(16,1),(20,1),(30,1),(35,1)}
      10:{1,5}:{(4,1),(5,1)}
      11:{2,5,6}:{(5,1),(6,1),(17,1),(19,1)}
      12:{2,4,5}:{(5,1),(7,1),(16,1),(18,1),(19,1),(20,1),(27,1),(30,1)}
      13:{1,4,6}:{(6,1),(7,1),(19,1),(37,1)}
      14:{2,6}:{(8,1),(21,1)}
      15:{1,3,5}:{(8,1),(9,1),(10,1),(21,1),(22,1),(31,1),(34,1),(38,1)}
      16:{2,4}:{(9,1),(22,1),(23,1)}
      17:{1,5,6}:{(10,1),(11,1),(24,1)}
      18:{1,4,5}:{(10,1),(12,1),(22,1),(24,1),(25,1)}
      19:{2,4,6}:{(11,1),(12,1),(13,1),(24,1),(26,1),(33,1)}
      20:{3,5}:{(12,1),(23,1),(26,1),(31,1)}
      21:{2,5}:{(14,1),(15,1),(27,1),(39,1)}
      22:{1,4}:{(15,1),(16,1),(27,1)}
      23:{3,4}:{(16,1),(20,1)}
      24:{1,4,6}:{(17,1),(18,1),(19,1),(29,1)}
      25:{1,3,5}:{(18,1),(20,1),(28,1),(29,1),(30,1)}
      26:{3,6}:{(19,1),(20,1)}
      27:{2,4}:{(21,1),(22,1),(31,1)}
      28:{1,3,4}:{(22,1),(23,1),(25,1),(31,1),(32,1),(38,1)}
      29:{1,3,6}:{(24,1),(25,1),(26,1),(33,1)}
      30:{2,5}:{(25,1),(32,1),(33,1),(34,1)}
      31:{3}:{(27,1)}
      32:{2,4}:{(28,1),(30,1),(35,1),(36,1),(39,1)}
      33:{2,6}:{(29,1),(30,1),(37,1)}
      34:{1,5}:{(30,1),(36,1),(37,1)}
      35:{2,3}:{(31,1),(32,1),(38,1)}
      36:{1,4}:{(32,1),(34,1),(38,1)}
      37:{1,6}:{(33,1),(34,1)}
      38:{1,3}:{(35,1),(36,1),(39,1)}
      39:{2}:{(38,1)}

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

139 :  0:{2,3,4}:{(2,1),(3,1),(25,1),(46,1)}
       1:{3,4,5}:{(4,1),(5,1),(57,1),(75,1)}
       2:{2,3,5}:{(0,1),(4,1),(6,1),(7,1)}
       3:{1,3,4}:{(0,1),(6,1),(8,1),(17,1),(37,1),(40,1)}
       4:{2,4,5}:{(1,1),(2,1),(10,1),(11,1),(46,1),(70,1)}
       5:{3,4,6}:{(1,1),(11,1),(12,1)}
       6:{1,3,5}:{(2,1),(3,1),(10,1),(13,1),(14,1),(29,1)}
       7:{2,3,6}:{(2,1),(11,1),(14,1)}
       8:{2,4}:{(3,1),(13,1),(15,1)}
       9:{1,2,4}:{(8,1),(16,1),(17,1),(36,1),(37,1)}
      10:{1,4,5}:{(4,1),(6,1),(18,1),(19,1),(37,1),(62,1)}
      11:{2,4,6}:{(4,1),(5,1),(7,1),(19,1),(20,1)}
      12:{3,5,6}:{(5,1),(20,1),(21,1),(75,1)}
      13:{2,5}:{(6,1),(8,1),(23,1)}
      14:{1,3,6}:{(6,1),(7,1),(19,1),(23,1),(41,1)}
      15:{2,3}:{(8,1),(17,1)}
      16:{1,2,5}:{(9,1),(13,1),(26,1),(27,1),(48,1)}
      17:{1,3}:{(9,1),(15,1),(25,1)}
      18:{2,4,5}:{(10,1),(13,1),(29,1),(30,1),(32,1),(56,1),(73,1)}
      19:{1,4,6}:{(10,1),(11,1),(14,1),(30,1),(31,1)}
      20:{2,5,6}:{(11,1),(12,1),(31,1),(70,1)}
      21:{4,5,6}:{(12,1),(79,1)}
      22:{2,3,5}:{(13,1),(15,1),(26,1),(29,1),(32,1),(33,1),(56,1)}
      23:{2,6}:{(13,1),(14,1)}
      24:{2,3,4}:{(15,1),(28,1),(32,1),(34,1)}
      25:{2,3}:{(17,1),(36,1)}
      26:{1,3,5}:{(16,1),(17,1),(22,1),(35,1),(37,1),(38,1),(62,1)}
      27:{1,2,6}:{(16,1),(23,1),(38,1),(60,1)}
      28:{1,3,4}:{(17,1),(24,1),(36,1),(37,1),(39,1),(57,1)}
      29:{3,5}:{(18,1),(40,1),(41,1)}
      30:{2,4,6}:{(18,1),(19,1),(23,1),(41,1),(42,1),(65,1)}
      31:{1,5,6}:{(19,1),(20,1),(42,1),(62,1)}
      32:{2,4}:{(22,1),(37,1),(40,1)}
      33:{2,3,6}:{(22,1),(23,1),(38,1),(41,1),(44,1)}
      34:{2,3,5}:{(24,1),(39,1),(43,1),(45,1)}
      35:{2,3,5}:{(25,1),(26,1),(46,1),(47,1),(48,1),(67,1),(70,1)}
      36:{2,4}:{(25,1),(28,1),(48,1)}
      37:{1,4}:{(26,1),(32,1),(46,1)}
      38:{1,3,6}:{(26,1),(27,1),(33,1),(47,1),(50,1)}
      39:{1,3,5}:{(28,1),(34,1),(48,1),(49,1),(51,1),(67,1)}
      40:{3,4}:{(29,1),(32,1)}
      41:{3,6}:{(29,1),(30,1)}
      42:{2,5,6}:{(30,1),(31,1),(54,1),(56,1)}
      43:{2,4,5}:{(32,1),(34,1),(49,1),(52,1),(55,1),(56,1)}
      44:{2,4,6}:{(32,1),(33,1),(50,1),(53,1),(56,1)}
      45:{2,3,6}:{(34,1),(51,1),(55,1)}
      46:{2,4}:{(35,1),(37,1),(57,1)}
      47:{2,3,6}:{(35,1),(38,1),(59,1),(60,1),(74,1)}
      48:{2,5}:{(36,1),(39,1),(60,1)}
      49:{1,4,5}:{(37,1),(39,1),(43,1),(58,1),(61,1),(62,1)}
      50:{1,4,6}:{(37,1),(38,1),(44,1),(59,1),(62,1)}
      51:{1,3,6}:{(39,1),(45,1),(60,1),(61,1),(74,1)}
      52:{3,4,5}:{(40,1),(43,1),(63,1),(64,1)}
      53:{3,4,6}:{(40,1),(41,1),(44,1),(64,1),(65,1)}
      54:{3,5,6}:{(41,1),(42,1),(64,1),(65,1)}
      55:{2,4,6}:{(43,1),(45,1),(61,1),(63,1),(66,1)}
      56:{2,5}:{(44,1),(62,1),(64,1)}
      57:{3,4}:{(46,1),(67,1)}
      58:{2,4,5}:{(46,1),(48,1),(49,1),(67,1),(69,1),(70,1),(79,1)}
      59:{2,4,6}:{(46,1),(47,1),(50,1),(68,1),(70,1)}
      60:{2,6}:{(48,1),(51,1)}
      61:{1,4,6}:{(49,1),(51,1),(55,1),(69,1),(71,1)}
      62:{1,5}:{(50,1),(56,1),(70,1)}
      63:{3,4,6}:{(52,1),(55,1),(72,1)}
      64:{3,5}:{(53,1),(56,1),(73,1)}
      65:{4,6}:{(54,1),(73,1)}
      66:{2,5,6}:{(55,1),(56,1),(71,1),(72,1)}
      67:{3,5}:{(57,1),(58,1),(74,1)}
      68:{3,4,6}:{(57,1),(59,1),(74,1),(75,1),(80,1)}
      69:{2,4,6}:{(58,1),(60,1),(61,1),(74,1),(76,1),(80,1)}
      70:{2,5}:{(59,1),(62,1),(75,1)}
      71:{1,5,6}:{(61,1),(62,1),(66,1),(76,1)}
      72:{3,5,6}:{(63,1),(64,1),(66,1),(77,1)}
      73:{4,5}:{(64,1),(65,1)}
      74:{3,6}:{(67,1),(69,1)}
      75:{3,5}:{(68,1),(70,1),(79,1)}
      76:{2,5,6}:{(69,1),(70,1),(71,1),(78,1)}
      77:{4,5,6}:{(72,1),(73,1)}
      78:{3,5,6}:{(74,1),(75,1),(76,1),(80,1)}
      79:{4,5}:{(75,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

140 :  0:{3,4,5}:{(1,1),(2,1),(62,1),(76,1)}
       1:{2,4,5}:{(0,1),(4,1),(5,1),(6,1),(52,1),(73,1)}
       2:{3,4,6}:{(0,1),(6,1),(7,1)}
       3:{2,3,4}:{(4,1),(8,1),(38,1),(52,1)}
       4:{2,3,5}:{(1,1),(3,1),(9,1),(10,1)}
       5:{1,4,5}:{(1,1),(9,1),(11,1),(12,1),(42,1),(66,1)}
       6:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1),(76,1)}
       8:{1,3,4}:{(3,1),(9,1),(15,1),(26,1),(29,1),(42,1)}
       9:{1,3,5}:{(4,1),(5,1),(8,1),(16,1),(17,1),(18,1)}
      10:{2,3,6}:{(4,1),(6,1),(17,1)}
      11:{2,4,5}:{(5,1),(16,1),(18,1),(19,1),(33,1),(57,1),(59,1)}
      12:{1,4,6}:{(5,1),(6,1),(17,1),(19,1),(20,1)}
      13:{2,5,6}:{(6,1),(7,1),(20,1),(73,1)}
      14:{4,5,6}:{(7,1),(79,1)}
      15:{2,4}:{(8,1),(16,1),(22,1)}
      16:{2,5}:{(9,1),(15,1),(25,1)}
      17:{1,3,6}:{(9,1),(10,1),(12,1),(25,1),(27,1)}
      18:{3,5}:{(11,1),(26,1),(27,1)}
      19:{2,4,6}:{(11,1),(12,1),(25,1),(27,1),(28,1),(48,1)}
      20:{1,5,6}:{(12,1),(13,1),(28,1),(66,1)}
      21:{1,2,4}:{(15,1),(23,1),(29,1),(42,1),(49,1)}
      22:{2,3}:{(15,1),(29,1)}
      23:{1,2,5}:{(16,1),(21,1),(31,1),(32,1),(60,1)}
      24:{2,3,5}:{(16,1),(18,1),(22,1),(31,1),(33,1),(34,1),(57,1)}
      25:{2,6}:{(16,1),(17,1)}
      26:{3,4}:{(18,1),(33,1)}
      27:{3,6}:{(18,1),(19,1)}
      28:{2,5,6}:{(19,1),(20,1),(37,1),(57,1)}
      29:{1,3}:{(21,1),(22,1),(38,1)}
      30:{2,3,4}:{(22,1),(33,1),(39,1),(40,1)}
      31:{1,3,5}:{(23,1),(24,1),(29,1),(41,1),(42,1),(43,1),(66,1)}
      32:{1,2,6}:{(23,1),(25,1),(43,1),(69,1)}
      33:{2,4}:{(24,1),(26,1),(42,1)}
      34:{2,3,6}:{(24,1),(25,1),(27,1),(43,1),(45,1)}
      35:{3,4,5}:{(26,1),(44,1),(46,1),(47,1)}
      36:{3,4,6}:{(26,1),(27,1),(45,1),(47,1),(48,1)}
      37:{3,5,6}:{(27,1),(28,1),(47,1),(48,1)}
      38:{2,3}:{(29,1),(49,1)}
      39:{1,3,4}:{(29,1),(30,1),(42,1),(49,1),(50,1),(62,1)}
      40:{2,3,5}:{(30,1),(44,1),(50,1),(51,1)}
      41:{2,3,5}:{(31,1),(38,1),(52,1),(53,1),(60,1),(70,1),(73,1)}
      42:{1,4}:{(31,1),(33,1),(52,1)}
      43:{1,3,6}:{(31,1),(32,1),(34,1),(53,1),(55,1)}
      44:{2,4,5}:{(33,1),(35,1),(40,1),(54,1),(56,1),(57,1)}
      45:{2,4,6}:{(33,1),(34,1),(36,1),(55,1),(57,1)}
      46:{3,4,6}:{(35,1),(56,1),(58,1)}
      47:{3,5}:{(36,1),(57,1),(59,1)}
      48:{4,6}:{(37,1),(59,1)}
      49:{2,4}:{(38,1),(39,1),(60,1)}
      50:{1,3,5}:{(39,1),(40,1),(54,1),(60,1),(61,1),(70,1)}
      51:{2,3,6}:{(40,1),(56,1),(61,1)}
      52:{2,4}:{(41,1),(42,1),(62,1)}
      53:{2,3,6}:{(41,1),(43,1),(64,1),(69,1),(75,1)}
      54:{1,4,5}:{(42,1),(44,1),(50,1),(63,1),(65,1),(66,1)}
      55:{1,4,6}:{(42,1),(43,1),(45,1),(64,1),(66,1)}
      56:{2,4,6}:{(44,1),(46,1),(51,1),(65,1),(67,1)}
      57:{2,5}:{(45,1),(47,1),(66,1)}
      58:{3,5,6}:{(46,1),(47,1),(67,1),(68,1)}
      59:{4,5}:{(47,1),(48,1)}
      60:{2,5}:{(49,1),(50,1),(69,1)}
      61:{1,3,6}:{(50,1),(51,1),(65,1),(69,1),(75,1)}
      62:{3,4}:{(52,1),(70,1)}
      63:{2,4,5}:{(52,1),(54,1),(60,1),(70,1),(72,1),(73,1),(79,1)}
      64:{2,4,6}:{(52,1),(53,1),(55,1),(71,1),(73,1)}
      65:{1,4,6}:{(54,1),(56,1),(61,1),(72,1),(74,1)}
      66:{1,5}:{(55,1),(57,1),(73,1)}
      67:{2,5,6}:{(56,1),(57,1),(58,1),(74,1)}
      68:{4,5,6}:{(58,1),(59,1)}
      69:{2,6}:{(60,1),(61,1)}
      70:{3,5}:{(62,1),(63,1),(75,1)}
      71:{3,4,6}:{(62,1),(64,1),(75,1),(76,1),(80,1)}
      72:{2,4,6}:{(63,1),(65,1),(69,1),(75,1),(77,1),(80,1)}
      73:{2,5}:{(64,1),(66,1),(76,1)}
      74:{1,5,6}:{(65,1),(66,1),(67,1),(77,1)}
      75:{3,6}:{(70,1),(72,1)}
      76:{3,5}:{(71,1),(73,1),(79,1)}
      77:{2,5,6}:{(72,1),(73,1),(74,1),(78,1)}
      78:{3,5,6}:{(75,1),(76,1),(77,1),(80,1)}
      79:{4,5}:{(76,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

141 :  0:{2,3,5,6}:{(1,1),(2,1),(10,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2,5,6}:{(1,1),(7,1),(17,1),(25,1)}
       4:{1,4,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{2,4,5}:{(2,1),(8,1),(10,1),(17,1),(28,1)}
       6:{3,4,6}:{(2,1),(10,1)}
       7:{2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,4,5}:{(4,1),(5,1),(11,1),(13,1),(22,1),(26,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(12,1),(13,1),(14,1),(19,1),(21,1),(26,1),(29,1)}
      10:{3,5}:{(5,1),(6,1),(29,1)}
      11:{2,4,5}:{(7,1),(8,1),(15,1),(17,1),(23,1)}
      12:{3,6}:{(7,1),(15,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(15,1),(17,1)}
      14:{2,4,6}:{(9,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(12,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(20,1),(21,1),(29,1)}
      17:{2,5}:{(13,1),(14,1),(22,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(21,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

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

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

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

145 :  0:{4,5,6}:{(1,1),(78,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1),(75,1)}
       2:{3,4,5}:{(3,1),(5,1),(64,1),(75,1)}
       3:{3,4,6}:{(1,1),(2,1),(6,1)}
       4:{2,5,6}:{(1,1),(6,1),(7,1),(70,1)}
       5:{2,4,5}:{(2,1),(6,1),(8,1),(9,1),(55,1),(70,1)}
       6:{2,4,6}:{(3,1),(4,1),(5,1),(11,1),(12,1)}
       7:{1,5,6}:{(4,1),(12,1),(13,1),(62,1)}
       8:{2,3,5}:{(5,1),(10,1),(11,1),(14,1)}
       9:{1,4,5}:{(5,1),(12,1),(14,1),(15,1),(45,1),(62,1)}
      10:{2,3,4}:{(8,1),(16,1),(48,1),(55,1)}
      11:{2,3,6}:{(6,1),(8,1),(17,1)}
      12:{1,4,6}:{(6,1),(7,1),(9,1),(17,1),(18,1)}
      13:{2,5,6}:{(7,1),(18,1),(19,1),(53,1)}
      14:{1,3,5}:{(8,1),(9,1),(16,1),(17,1),(20,1),(21,1)}
      15:{2,4,5}:{(9,1),(18,1),(20,1),(21,1),(34,1),(36,1),(53,1)}
      16:{1,3,4}:{(10,1),(14,1),(22,1),(28,1),(38,1),(45,1)}
      17:{1,3,6}:{(11,1),(12,1),(14,1),(23,1),(24,1)}
      18:{2,4,6}:{(12,1),(13,1),(15,1),(23,1),(24,1),(25,1)}
      19:{3,5,6}:{(13,1),(24,1),(25,1),(42,1)}
      20:{2,5}:{(14,1),(22,1),(23,1)}
      21:{3,5}:{(15,1),(24,1),(28,1)}
      22:{2,4}:{(16,1),(20,1),(30,1)}
      23:{2,6}:{(17,1),(20,1)}
      24:{3,6}:{(18,1),(21,1)}
      25:{4,6}:{(19,1),(34,1)}
      26:{1,2,5}:{(20,1),(29,1),(31,1),(35,1),(67,1)}
      27:{2,3,5}:{(20,1),(21,1),(30,1),(32,1),(35,1),(36,1),(53,1)}
      28:{3,4}:{(21,1),(36,1)}
      29:{1,2,4}:{(22,1),(26,1),(38,1),(45,1),(58,1)}
      30:{2,3}:{(22,1),(38,1)}
      31:{1,2,6}:{(23,1),(26,1),(40,1),(74,1)}
      32:{2,3,6}:{(23,1),(24,1),(27,1),(40,1),(41,1)}
      33:{3,4,6}:{(24,1),(25,1),(28,1),(41,1),(42,1)}
      34:{4,5}:{(25,1),(42,1)}
      35:{1,3,5}:{(26,1),(27,1),(38,1),(40,1),(44,1),(45,1),(62,1)}
      36:{2,4}:{(27,1),(28,1),(45,1)}
      37:{3,4,5}:{(28,1),(42,1),(46,1),(47,1)}
      38:{1,3}:{(29,1),(30,1),(48,1)}
      39:{2,3,4}:{(30,1),(36,1),(49,1),(50,1)}
      40:{1,3,6}:{(31,1),(32,1),(35,1),(51,1),(52,1)}
      41:{2,4,6}:{(32,1),(33,1),(36,1),(52,1),(53,1)}
      42:{3,5}:{(33,1),(34,1),(53,1)}
      43:{4,5,6}:{(34,1),(54,1)}
      44:{2,3,5}:{(35,1),(48,1),(51,1),(55,1),(67,1),(70,1),(72,1)}
      45:{1,4}:{(35,1),(36,1),(55,1)}
      46:{2,4,5}:{(36,1),(37,1),(50,1),(53,1),(56,1),(57,1)}
      47:{3,4,6}:{(37,1),(54,1),(57,1)}
      48:{2,3}:{(38,1),(58,1)}
      49:{1,3,4}:{(38,1),(39,1),(45,1),(58,1),(59,1),(64,1)}
      50:{2,3,5}:{(39,1),(46,1),(59,1),(60,1)}
      51:{2,3,6}:{(40,1),(44,1),(61,1),(74,1),(77,1)}
      52:{1,4,6}:{(40,1),(41,1),(45,1),(61,1),(62,1)}
      53:{2,5}:{(41,1),(42,1),(62,1)}
      54:{3,5,6}:{(42,1),(43,1),(47,1),(63,1)}
      55:{2,4}:{(44,1),(45,1),(64,1)}
      56:{1,4,5}:{(45,1),(46,1),(59,1),(62,1),(65,1),(66,1)}
      57:{2,4,6}:{(46,1),(47,1),(60,1),(63,1),(66,1)}
      58:{2,4}:{(48,1),(49,1),(67,1)}
      59:{1,3,5}:{(49,1),(50,1),(56,1),(67,1),(68,1),(72,1)}
      60:{2,3,6}:{(50,1),(57,1),(68,1)}
      61:{2,4,6}:{(51,1),(52,1),(55,1),(69,1),(70,1)}
      62:{1,5}:{(52,1),(53,1),(70,1)}
      63:{2,5,6}:{(53,1),(54,1),(57,1),(71,1)}
      64:{3,4}:{(55,1),(72,1)}
      65:{2,4,5}:{(55,1),(56,1),(67,1),(70,1),(72,1),(73,1),(78,1)}
      66:{1,4,6}:{(56,1),(57,1),(68,1),(71,1),(73,1)}
      67:{2,5}:{(58,1),(59,1),(74,1)}
      68:{1,3,6}:{(59,1),(60,1),(66,1),(74,1),(77,1)}
      69:{3,4,6}:{(61,1),(64,1),(75,1),(77,1),(80,1)}
      70:{2,5}:{(61,1),(62,1),(75,1)}
      71:{1,5,6}:{(62,1),(63,1),(66,1),(76,1)}
      72:{3,5}:{(64,1),(65,1),(77,1)}
      73:{2,4,6}:{(65,1),(66,1),(74,1),(76,1),(77,1),(80,1)}
      74:{2,6}:{(67,1),(68,1)}
      75:{3,5}:{(69,1),(70,1),(78,1)}
      76:{2,5,6}:{(70,1),(71,1),(73,1),(79,1)}
      77:{3,6}:{(72,1),(73,1)}
      78:{4,5}:{(75,1),(80,1)}
      79:{3,5,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

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

147 :  0:{1,2,4}:{(1,1),(2,1),(7,1),(11,1)}
       1:{1,3}:{(0,1),(4,1)}
       2:{1,2,5}:{(0,1),(5,1),(6,1),(14,1),(63,1)}
       3:{1,3,4}:{(1,1),(7,1),(8,1),(11,1),(29,1)}
       4:{2,3}:{(1,1),(7,1),(9,1)}
       5:{1,3,5}:{(1,1),(2,1),(10,1),(11,1),(12,1),(31,1),(58,1),(61,1)}
       6:{1,2,6}:{(2,1),(12,1),(24,1)}
       7:{2,4}:{(3,1),(4,1),(13,1),(14,1)}
       8:{1,3,5}:{(3,1),(14,1),(15,1),(16,1),(34,1)}
       9:{1,3}:{(4,1),(13,1),(17,1)}
      10:{2,3,5}:{(4,1),(5,1),(14,1),(18,1),(19,1),(20,1),(34,1),(42,1),(51,1),(55,1)}
      11:{1,4}:{(5,1),(19,1)}
      12:{1,3,6}:{(5,1),(6,1),(20,1),(21,1),(62,1)}
      13:{1,4}:{(7,1),(9,1),(22,1)}
      14:{2,5}:{(7,1),(8,1),(22,1),(24,1)}
      15:{1,4,5}:{(8,1),(11,1),(23,1),(25,1),(31,1),(58,1)}
      16:{1,3,6}:{(8,1),(24,1),(25,1),(45,1)}
      17:{1,2}:{(9,1)}
      18:{1,3,5}:{(9,1),(10,1),(22,1),(26,1),(27,1),(28,1),(47,1),(49,1)}
      19:{2,4}:{(10,1),(11,1),(27,1),(29,1)}
      20:{2,3,6}:{(10,1),(12,1),(24,1),(28,1),(30,1),(45,1),(59,1)}
      21:{1,4,6}:{(11,1),(12,1),(30,1),(31,1)}
      22:{1,5}:{(13,1),(14,1),(33,1)}
      23:{2,4,5}:{(14,1),(15,1),(19,1),(32,1),(34,1),(35,1),(42,1),(51,1),(57,1)}
      24:{2,6}:{(14,1),(16,1),(33,1)}
      25:{1,4,6}:{(15,1),(16,1),(35,1),(36,1),(62,1)}
      26:{1,2,5}:{(17,1),(18,1),(37,1),(38,1),(51,1)}
      27:{1,4}:{(18,1),(19,1)}
      28:{1,3,6}:{(18,1),(20,1),(33,1),(38,1),(40,1)}
      29:{3,4}:{(19,1),(34,1)}
      30:{2,4,6}:{(19,1),(20,1),(21,1),(40,1),(41,1),(42,1)}
      31:{1,5}:{(21,1),(42,1)}
      32:{1,4,5}:{(22,1),(23,1),(27,1),(43,1),(44,1),(49,1)}
      33:{1,6}:{(22,1),(24,1)}
      34:{3,5}:{(23,1),(29,1),(45,1)}
      35:{2,4,6}:{(23,1),(24,1),(25,1),(44,1),(45,1),(46,1),(59,1),(60,1)}
      36:{1,5,6}:{(25,1),(31,1),(46,1)}
      37:{1,2,4}:{(26,1),(27,1),(47,1),(48,1)}
      38:{1,2,6}:{(26,1),(28,1),(59,1)}
      39:{1,3,4}:{(27,1),(29,1),(43,1),(47,1),(48,1)}
      40:{1,4,6}:{(27,1),(28,1),(30,1),(49,1)}
      41:{3,4,6}:{(29,1),(30,1),(45,1),(50,1),(60,1)}
      42:{2,5}:{(30,1),(31,1),(49,1),(50,1)}
      43:{1,3,5}:{(32,1),(34,1),(39,1),(51,1),(52,1)}
      44:{1,4,6}:{(32,1),(33,1),(35,1),(52,1),(53,1)}
      45:{3,6}:{(34,1),(35,1)}
      46:{2,5,6}:{(35,1),(36,1),(42,1),(53,1),(54,1)}
      47:{1,3}:{(37,1),(55,1)}
      48:{2,4}:{(39,1),(51,1),(55,1),(56,1)}
      49:{1,5}:{(40,1),(42,1)}
      50:{3,5}:{(41,1),(42,1),(57,1)}
      51:{2,5}:{(43,1),(48,1),(58,1),(59,1)}
      52:{1,3,6}:{(43,1),(44,1),(45,1),(59,1)}
      53:{1,5,6}:{(44,1),(46,1),(49,1)}
      54:{3,5,6}:{(45,1),(46,1),(50,1),(60,1)}
      55:{2,3}:{(47,1),(48,1),(61,1)}
      56:{1,4}:{(48,1),(58,1),(61,1)}
      57:{4,5}:{(50,1),(60,1)}
      58:{1,5}:{(51,1),(56,1),(62,1)}
      59:{2,6}:{(51,1),(52,1),(62,1)}
      60:{4,6}:{(54,1),(57,1)}
      61:{1,3}:{(55,1),(56,1),(63,1)}
      62:{1,6}:{(58,1),(59,1)}
      63:{1,2}:{(61,1)}

148 :  0:{1,5,6}:{(3,1),(5,1),(52,1)}
       1:{1,4,5}:{(4,1),(5,1),(6,1),(38,1),(41,1),(52,1)}
       2:{1,3,4}:{(6,1),(7,1),(20,1),(23,1),(41,1),(54,1)}
       3:{2,5,6}:{(0,1),(8,1),(10,1),(11,1),(47,1),(56,1)}
       4:{2,4,5}:{(1,1),(9,1),(11,1),(12,1),(15,1),(28,1),(29,1),(31,1),(47,1),(49,1),(56,1),(59,1)}
       5:{1,4,6}:{(0,1),(1,1),(11,1),(14,1),(46,1)}
       6:{1,3,5}:{(1,1),(2,1),(12,1),(14,1),(15,1)}
       7:{2,4}:{(2,1),(13,1),(15,1),(16,1),(34,1)}
       8:{1,5,6}:{(3,1),(17,1),(52,1)}
       9:{1,4,5}:{(4,1),(17,1),(18,1),(25,1),(41,1),(52,1)}
      10:{3,5,6}:{(3,1),(19,1),(21,1),(39,1),(58,1)}
      11:{2,4,6}:{(3,1),(4,1),(5,1),(17,1),(19,1),(21,1),(24,1),(37,1)}
      12:{3,5}:{(4,1),(20,1),(21,1),(54,1)}
      13:{2,3}:{(7,1),(23,1),(54,1)}
      14:{1,3,6}:{(5,1),(6,1),(21,1),(24,1)}
      15:{2,5}:{(6,1),(7,1),(24,1),(25,1)}
      16:{1,4}:{(7,1),(23,1),(25,1)}
      17:{1,4,6}:{(8,1),(9,1),(11,1),(27,1),(35,1)}
      18:{1,3,5}:{(9,1),(12,1),(26,1),(27,1),(28,1)}
      19:{4,6}:{(10,1),(29,1),(59,1)}
      20:{3,4}:{(12,1),(31,1),(59,1)}
      21:{3,6}:{(11,1),(12,1)}
      22:{2,3,5}:{(12,1),(13,1),(15,1),(28,1),(31,1),(32,1),(33,1),(44,1),(47,1)}
      23:{1,3}:{(13,1),(16,1),(34,1)}
      24:{2,6}:{(14,1),(15,1),(35,1)}
      25:{1,5}:{(15,1),(16,1),(35,1)}
      26:{1,3,4}:{(18,1),(20,1),(36,1),(41,1),(51,1),(54,1)}
      27:{1,3,6}:{(17,1),(18,1),(21,1),(37,1)}
      28:{2,5}:{(18,1),(36,1),(37,1),(38,1)}
      29:{4,5}:{(19,1),(39,1)}
      30:{3,4,6}:{(19,1),(20,1),(21,1),(39,1),(40,1)}
      31:{2,4}:{(20,1),(22,1),(41,1)}
      32:{2,3,6}:{(21,1),(22,1),(24,1),(37,1),(40,1),(42,1)}
      33:{1,3,5}:{(22,1),(23,1),(25,1),(38,1),(41,1),(42,1),(43,1),(51,1),(52,1),(54,1),(58,1)}
      34:{2}:{(23,1)}
      35:{1,6}:{(24,1),(25,1)}
      36:{2,4}:{(26,1),(28,1),(44,1),(45,1),(55,1)}
      37:{2,6}:{(27,1),(28,1),(46,1)}
      38:{1,5}:{(28,1),(45,1),(46,1)}
      39:{3,5}:{(29,1),(30,1),(47,1)}
      40:{2,4,6}:{(30,1),(31,1),(32,1),(47,1),(48,1)}
      41:{1,4}:{(31,1),(33,1),(49,1),(59,1)}
      42:{1,3,6}:{(32,1),(33,1),(35,1),(46,1),(48,1),(50,1),(57,1)}
      43:{2,5}:{(33,1),(34,1),(49,1),(50,1),(55,1)}
      44:{2,3}:{(36,1),(51,1),(54,1)}
      45:{1,4}:{(36,1),(38,1),(51,1)}
      46:{1,6}:{(37,1),(38,1)}
      47:{2,5}:{(39,1),(40,1),(52,1)}
      48:{1,4,6}:{(40,1),(41,1),(42,1),(52,1),(53,1)}
      49:{2,4}:{(41,1),(43,1),(54,1)}
      50:{2,6}:{(42,1),(43,1)}
      51:{1,3}:{(44,1),(45,1),(55,1)}
      52:{1,5}:{(47,1),(48,1),(56,1)}
      53:{2,4,6}:{(48,1),(49,1),(50,1),(56,1),(57,1),(59,1)}
      54:{3}:{(49,1)}
      55:{2}:{(51,1)}
      56:{2,5}:{(52,1),(53,1),(58,1)}
      57:{3,6}:{(53,1),(54,1),(58,1)}
      58:{3,5}:{(56,1),(57,1),(59,1)}
      59:{4}:{(58,1)}

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

150 :  0:{1,3,5,6}:{(1,1),(2,1),(9,1),(10,1)}
       1:{2,5,6}:{(0,1),(3,1),(4,1),(16,1)}
       2:{1,4,6}:{(0,1),(4,1),(5,1),(26,1)}
       3:{1,5,6}:{(1,1),(7,1),(23,1)}
       4:{2,4,6}:{(1,1),(2,1),(7,1),(8,1),(9,1),(19,1)}
       5:{1,4,5}:{(2,1),(8,1),(10,1),(31,1),(32,1)}
       6:{1,3,4,6}:{(2,1),(9,1),(10,1),(11,1),(20,1),(22,1),(32,1),(38,1)}
       7:{1,4,6}:{(3,1),(4,1),(12,1),(13,1)}
       8:{2,4,5}:{(4,1),(5,1),(12,1),(14,1),(16,1),(25,1),(27,1),(36,1)}
       9:{3,6}:{(4,1),(14,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(16,1)}
      11:{2,4,6}:{(6,1),(15,1),(16,1),(17,1),(27,1),(29,1),(36,1)}
      12:{1,4,5}:{(7,1),(8,1),(18,1),(23,1),(32,1)}
      13:{1,3,6}:{(7,1),(9,1),(18,1),(19,1)}
      14:{3,5}:{(8,1),(9,1),(20,1),(38,1)}
      15:{2,3,6}:{(9,1),(11,1),(19,1),(21,1),(22,1),(38,1)}
      16:{2,5}:{(10,1),(11,1),(23,1)}
      17:{1,4,6}:{(11,1),(22,1),(23,1),(32,1)}
      18:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1)}
      19:{2,6}:{(13,1),(25,1),(26,1)}
      20:{3,4}:{(14,1),(27,1)}
      21:{2,3,5}:{(14,1),(15,1),(16,1),(25,1),(27,1),(28,1),(34,1)}
      22:{1,3,6}:{(15,1),(17,1),(26,1),(28,1),(29,1)}
      23:{1,5}:{(16,1),(17,1)}
      24:{1,3,4}:{(18,1),(20,1),(30,1),(32,1),(37,1),(38,1)}
      25:{2,5}:{(18,1),(19,1),(30,1),(31,1)}
      26:{1,6}:{(19,1),(31,1)}
      27:{2,4}:{(20,1),(21,1),(32,1)}
      28:{1,3,5}:{(21,1),(22,1),(23,1),(31,1),(32,1),(33,1),(37,1),(38,1)}
      29:{2,6}:{(22,1),(33,1)}
      30:{2,4}:{(24,1),(25,1),(34,1),(35,1),(39,1)}
      31:{1,5}:{(25,1),(26,1),(35,1)}
      32:{1,4}:{(27,1),(28,1),(36,1)}
      33:{2,5}:{(28,1),(29,1),(36,1),(39,1)}
      34:{2,3}:{(30,1),(37,1),(38,1)}
      35:{1,4}:{(30,1),(31,1),(37,1)}
      36:{2,4}:{(32,1),(33,1),(38,1)}
      37:{1,3}:{(34,1),(35,1),(39,1)}
      38:{3}:{(36,1)}
      39:{2}:{(37,1)}

151 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(13,1),(22,1),(23,1),(26,1),(31,1)}
       1:{2,4,6}:{(0,1),(3,1),(4,1),(5,1),(14,1),(16,1),(27,1)}
       2:{1,3,5}:{(0,1),(5,1),(7,1),(20,1)}
       3:{2,3,6}:{(1,1),(8,1),(9,1),(26,1),(31,1),(33,1)}
       4:{1,4,6}:{(1,1),(8,1),(10,1),(22,1)}
       5:{2,5}:{(1,1),(2,1),(10,1)}
       6:{1,3,5,6}:{(2,1),(11,1),(13,1),(26,1)}
       7:{1,4,5}:{(2,1),(12,1),(13,1),(22,1),(34,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1),(37,1)}
       9:{2,3,5}:{(3,1),(5,1),(15,1),(16,1),(20,1),(30,1),(35,1)}
      10:{1,5}:{(4,1),(5,1)}
      11:{2,5,6}:{(5,1),(6,1),(17,1),(19,1)}
      12:{2,4,5}:{(5,1),(7,1),(16,1),(18,1),(19,1),(20,1),(27,1),(30,1)}
      13:{1,4,6}:{(6,1),(7,1),(19,1),(37,1)}
      14:{2,6}:{(8,1),(21,1)}
      15:{1,3,5}:{(8,1),(9,1),(10,1),(21,1),(22,1),(31,1),(34,1),(38,1)}
      16:{2,4}:{(9,1),(22,1),(23,1)}
      17:{1,5,6}:{(10,1),(11,1),(24,1)}
      18:{1,4,5}:{(10,1),(12,1),(22,1),(24,1),(25,1)}
      19:{2,4,6}:{(11,1),(12,1),(13,1),(24,1),(26,1),(33,1)}
      20:{3,5}:{(12,1),(23,1),(26,1),(31,1)}
      21:{2,5}:{(14,1),(15,1),(27,1),(39,1)}
      22:{1,4}:{(15,1),(16,1),(27,1)}
      23:{3,4}:{(16,1),(20,1)}
      24:{1,4,6}:{(17,1),(18,1),(19,1),(29,1)}
      25:{1,3,5}:{(18,1),(20,1),(28,1),(29,1),(30,1)}
      26:{3,6}:{(19,1),(20,1)}
      27:{2,4}:{(21,1),(22,1),(31,1)}
      28:{1,3,4}:{(22,1),(23,1),(25,1),(31,1),(32,1),(38,1)}
      29:{1,3,6}:{(24,1),(25,1),(26,1),(33,1)}
      30:{2,5}:{(25,1),(32,1),(33,1),(34,1)}
      31:{3}:{(27,1)}
      32:{2,4}:{(28,1),(30,1),(35,1),(36,1),(39,1)}
      33:{2,6}:{(29,1),(30,1),(37,1)}
      34:{1,5}:{(30,1),(36,1),(37,1)}
      35:{2,3}:{(31,1),(32,1),(38,1)}
      36:{1,4}:{(32,1),(34,1),(38,1)}
      37:{1,6}:{(33,1),(34,1)}
      38:{1,3}:{(35,1),(36,1),(39,1)}
      39:{2}:{(38,1)}

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

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

154 :  0:{3,4,5}:{(1,1),(2,1),(62,1),(76,1)}
       1:{2,4,5}:{(0,1),(4,1),(5,1),(6,1),(52,1),(73,1)}
       2:{3,4,6}:{(0,1),(6,1),(7,1)}
       3:{2,3,4}:{(4,1),(8,1),(38,1),(52,1)}
       4:{2,3,5}:{(1,1),(3,1),(9,1),(10,1)}
       5:{1,4,5}:{(1,1),(9,1),(11,1),(12,1),(42,1),(66,1)}
       6:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1),(76,1)}
       8:{1,3,4}:{(3,1),(9,1),(15,1),(26,1),(29,1),(42,1)}
       9:{1,3,5}:{(4,1),(5,1),(8,1),(16,1),(17,1),(18,1)}
      10:{2,3,6}:{(4,1),(6,1),(17,1)}
      11:{2,4,5}:{(5,1),(16,1),(18,1),(19,1),(33,1),(57,1),(59,1)}
      12:{1,4,6}:{(5,1),(6,1),(17,1),(19,1),(20,1)}
      13:{2,5,6}:{(6,1),(7,1),(20,1),(73,1)}
      14:{4,5,6}:{(7,1),(79,1)}
      15:{2,4}:{(8,1),(16,1),(22,1)}
      16:{2,5}:{(9,1),(15,1),(25,1)}
      17:{1,3,6}:{(9,1),(10,1),(12,1),(25,1),(27,1)}
      18:{3,5}:{(11,1),(26,1),(27,1)}
      19:{2,4,6}:{(11,1),(12,1),(25,1),(27,1),(28,1),(48,1)}
      20:{1,5,6}:{(12,1),(13,1),(28,1),(66,1)}
      21:{1,2,4}:{(15,1),(23,1),(29,1),(42,1),(49,1)}
      22:{2,3}:{(15,1),(29,1)}
      23:{1,2,5}:{(16,1),(21,1),(31,1),(32,1),(60,1)}
      24:{2,3,5}:{(16,1),(18,1),(22,1),(31,1),(33,1),(34,1),(57,1)}
      25:{2,6}:{(16,1),(17,1)}
      26:{3,4}:{(18,1),(33,1)}
      27:{3,6}:{(18,1),(19,1)}
      28:{2,5,6}:{(19,1),(20,1),(37,1),(57,1)}
      29:{1,3}:{(21,1),(22,1),(38,1)}
      30:{2,3,4}:{(22,1),(33,1),(39,1),(40,1)}
      31:{1,3,5}:{(23,1),(24,1),(29,1),(41,1),(42,1),(43,1),(66,1)}
      32:{1,2,6}:{(23,1),(25,1),(43,1),(69,1)}
      33:{2,4}:{(24,1),(26,1),(42,1)}
      34:{2,3,6}:{(24,1),(25,1),(27,1),(43,1),(45,1)}
      35:{3,4,5}:{(26,1),(44,1),(46,1),(47,1)}
      36:{3,4,6}:{(26,1),(27,1),(45,1),(47,1),(48,1)}
      37:{3,5,6}:{(27,1),(28,1),(47,1),(48,1)}
      38:{2,3}:{(29,1),(49,1)}
      39:{1,3,4}:{(29,1),(30,1),(42,1),(49,1),(50,1),(62,1)}
      40:{2,3,5}:{(30,1),(44,1),(50,1),(51,1)}
      41:{2,3,5}:{(31,1),(38,1),(52,1),(53,1),(60,1),(70,1),(73,1)}
      42:{1,4}:{(31,1),(33,1),(52,1)}
      43:{1,3,6}:{(31,1),(32,1),(34,1),(53,1),(55,1)}
      44:{2,4,5}:{(33,1),(35,1),(40,1),(54,1),(56,1),(57,1)}
      45:{2,4,6}:{(33,1),(34,1),(36,1),(55,1),(57,1)}
      46:{3,4,6}:{(35,1),(56,1),(58,1)}
      47:{3,5}:{(36,1),(57,1),(59,1)}
      48:{4,6}:{(37,1),(59,1)}
      49:{2,4}:{(38,1),(39,1),(60,1)}
      50:{1,3,5}:{(39,1),(40,1),(54,1),(60,1),(61,1),(70,1)}
      51:{2,3,6}:{(40,1),(56,1),(61,1)}
      52:{2,4}:{(41,1),(42,1),(62,1)}
      53:{2,3,6}:{(41,1),(43,1),(64,1),(69,1),(75,1)}
      54:{1,4,5}:{(42,1),(44,1),(50,1),(63,1),(65,1),(66,1)}
      55:{1,4,6}:{(42,1),(43,1),(45,1),(64,1),(66,1)}
      56:{2,4,6}:{(44,1),(46,1),(51,1),(65,1),(67,1)}
      57:{2,5}:{(45,1),(47,1),(66,1)}
      58:{3,5,6}:{(46,1),(47,1),(67,1),(68,1)}
      59:{4,5}:{(47,1),(48,1)}
      60:{2,5}:{(49,1),(50,1),(69,1)}
      61:{1,3,6}:{(50,1),(51,1),(65,1),(69,1),(75,1)}
      62:{3,4}:{(52,1),(70,1)}
      63:{2,4,5}:{(52,1),(54,1),(60,1),(70,1),(72,1),(73,1),(79,1)}
      64:{2,4,6}:{(52,1),(53,1),(55,1),(71,1),(73,1)}
      65:{1,4,6}:{(54,1),(56,1),(61,1),(72,1),(74,1)}
      66:{1,5}:{(55,1),(57,1),(73,1)}
      67:{2,5,6}:{(56,1),(57,1),(58,1),(74,1)}
      68:{4,5,6}:{(58,1),(59,1)}
      69:{2,6}:{(60,1),(61,1)}
      70:{3,5}:{(62,1),(63,1),(75,1)}
      71:{3,4,6}:{(62,1),(64,1),(75,1),(76,1),(80,1)}
      72:{2,4,6}:{(63,1),(65,1),(69,1),(75,1),(77,1),(80,1)}
      73:{2,5}:{(64,1),(66,1),(76,1)}
      74:{1,5,6}:{(65,1),(66,1),(67,1),(77,1)}
      75:{3,6}:{(70,1),(72,1)}
      76:{3,5}:{(71,1),(73,1),(79,1)}
      77:{2,5,6}:{(72,1),(73,1),(74,1),(78,1)}
      78:{3,5,6}:{(75,1),(76,1),(77,1),(80,1)}
      79:{4,5}:{(76,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

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

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

157 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1),(43,1)}
       2:{1,2,5}:{(0,1),(5,1),(13,1),(44,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(24,1),(32,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(9,1),(32,1),(40,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(41,1),(42,1)}
       6:{2,4,6}:{(3,1),(4,1),(12,1),(13,1),(17,1)}
       7:{1,3,5}:{(3,1),(13,1),(14,1),(28,1)}
       8:{1,3,6}:{(4,1),(12,1),(15,1),(16,1)}
       9:{2,3,5}:{(4,1),(5,1),(13,1),(16,1),(17,1),(28,1),(37,1),(38,1)}
      10:{1,4}:{(5,1),(17,1)}
      11:{1,3,5,6}:{(7,1),(18,1),(19,1),(32,1)}
      12:{1,4,6}:{(6,1),(8,1),(20,1),(23,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{1,4,5}:{(7,1),(10,1),(19,1),(21,1),(41,1)}
      15:{1,2,6}:{(8,1),(22,1),(40,1)}
      16:{1,3,5}:{(8,1),(9,1),(20,1),(22,1),(23,1),(34,1)}
      17:{2,4}:{(9,1),(10,1),(23,1),(24,1)}
      18:{2,5,6}:{(11,1),(13,1),(25,1),(26,1)}
      19:{1,4,6}:{(11,1),(14,1),(26,1),(43,1)}
      20:{1,5}:{(12,1),(13,1)}
      21:{2,4,5}:{(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      22:{1,2,5}:{(15,1),(16,1),(29,1),(37,1)}
      23:{1,4}:{(16,1),(17,1)}
      24:{3,4}:{(17,1),(28,1)}
      25:{1,5,6}:{(18,1),(20,1),(31,1)}
      26:{2,4,6}:{(18,1),(19,1),(21,1),(31,1),(32,1),(40,1)}
      27:{1,4,5}:{(20,1),(21,1),(23,1),(31,1),(33,1)}
      28:{3,5}:{(21,1),(24,1),(32,1)}
      29:{1,2,4}:{(22,1),(23,1),(34,1),(35,1)}
      30:{1,3,4}:{(23,1),(24,1),(33,1),(34,1),(35,1)}
      31:{1,4,6}:{(25,1),(26,1),(27,1),(36,1)}
      32:{3,6}:{(26,1),(28,1)}
      33:{1,3,5}:{(27,1),(28,1),(30,1),(36,1),(37,1)}
      34:{1,3}:{(29,1),(38,1)}
      35:{2,4}:{(30,1),(37,1),(38,1),(39,1)}
      36:{1,3,6}:{(31,1),(32,1),(33,1),(40,1)}
      37:{2,5}:{(33,1),(35,1),(40,1),(41,1)}
      38:{2,3}:{(34,1),(35,1),(42,1)}
      39:{1,4}:{(35,1),(41,1),(42,1)}
      40:{2,6}:{(36,1),(37,1),(43,1)}
      41:{1,5}:{(37,1),(39,1),(43,1)}
      42:{1,3}:{(38,1),(39,1),(44,1)}
      43:{1,6}:{(40,1),(41,1)}
      44:{1,2}:{(42,1)}

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

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

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

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

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

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

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

165 :  0:{1,2}:{(1,1)}
       1:{1,3}:{(0,1),(3,1),(4,1)}
       2:{1,2}:{(5,1)}
       3:{2,3}:{(1,1),(5,1),(6,1)}
       4:{1,4}:{(1,1),(6,1),(7,1)}
       5:{1,3}:{(2,1),(3,1),(8,1)}
       6:{2,4}:{(3,1),(4,1),(8,1),(9,1),(10,1)}
       7:{1,5}:{(4,1),(10,1),(11,1)}
       8:{1,4}:{(5,1),(6,1),(12,1)}
       9:{3,4}:{(6,1),(13,1)}
      10:{2,5}:{(6,1),(7,1),(12,1),(13,1),(14,1)}
      11:{1,6}:{(7,1),(14,1)}
      12:{1,5}:{(8,1),(10,1),(15,1)}
      13:{3,5}:{(9,1),(10,1),(16,1),(17,1)}
      14:{2,6}:{(10,1),(11,1),(15,1),(17,1)}
      15:{1,6}:{(12,1),(14,1)}
      16:{4,5}:{(13,1),(18,1)}
      17:{3,6}:{(13,1),(14,1),(18,1)}
      18:{4,6}:{(16,1),(17,1),(19,1)}
      19:{5,6}:{(18,1)}

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

167 :  0:{2,3,4}:{(1,1),(2,1),(23,1),(47,1)}
       1:{1,3,4}:{(0,1),(3,1),(4,1),(14,1),(37,1),(41,1)}
       2:{2,3,5}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2,4}:{(1,1),(8,1),(9,1)}
       4:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(11,1),(30,1)}
       5:{2,4,5}:{(2,1),(10,1),(12,1),(13,1),(47,1),(70,1)}
       6:{2,3,6}:{(2,1),(11,1),(13,1)}
       7:{1,2,4}:{(3,1),(14,1),(15,1),(34,1),(37,1)}
       8:{2,3}:{(3,1),(14,1)}
       9:{2,5}:{(3,1),(4,1),(19,1)}
      10:{1,4,5}:{(4,1),(5,1),(18,1),(20,1),(37,1),(62,1)}
      11:{1,3,6}:{(4,1),(6,1),(19,1),(20,1),(43,1)}
      12:{3,4,5}:{(5,1),(21,1),(59,1),(76,1)}
      13:{2,4,6}:{(5,1),(6,1),(20,1),(21,1),(22,1)}
      14:{1,3}:{(7,1),(8,1),(23,1)}
      15:{1,2,5}:{(7,1),(9,1),(25,1),(26,1),(46,1)}
      16:{2,3,4}:{(8,1),(24,1),(27,1),(28,1)}
      17:{2,3,5}:{(8,1),(9,1),(25,1),(28,1),(29,1),(30,1),(55,1)}
      18:{2,4,5}:{(9,1),(10,1),(28,1),(30,1),(31,1),(55,1),(73,1)}
      19:{2,6}:{(9,1),(11,1)}
      20:{1,4,6}:{(10,1),(11,1),(13,1),(31,1),(32,1)}
      21:{3,4,6}:{(12,1),(13,1),(33,1)}
      22:{2,5,6}:{(13,1),(32,1),(33,1),(70,1)}
      23:{2,3}:{(14,1),(34,1)}
      24:{1,3,4}:{(14,1),(16,1),(34,1),(36,1),(37,1),(59,1)}
      25:{1,3,5}:{(14,1),(15,1),(17,1),(35,1),(37,1),(38,1),(62,1)}
      26:{1,2,6}:{(15,1),(19,1),(38,1),(58,1)}
      27:{2,3,5}:{(16,1),(36,1),(39,1),(40,1)}
      28:{2,4}:{(17,1),(37,1),(41,1)}
      29:{2,3,6}:{(17,1),(19,1),(38,1),(42,1),(43,1)}
      30:{3,5}:{(18,1),(41,1),(43,1)}
      31:{2,4,6}:{(18,1),(19,1),(20,1),(43,1),(44,1),(66,1)}
      32:{1,5,6}:{(20,1),(22,1),(44,1),(62,1)}
      33:{3,5,6}:{(21,1),(22,1),(45,1),(76,1)}
      34:{2,4}:{(23,1),(24,1),(46,1)}
      35:{2,3,5}:{(23,1),(25,1),(46,1),(47,1),(48,1),(67,1),(70,1)}
      36:{1,3,5}:{(24,1),(27,1),(46,1),(49,1),(50,1),(67,1)}
      37:{1,4}:{(25,1),(28,1),(47,1)}
      38:{1,3,6}:{(25,1),(26,1),(29,1),(48,1),(51,1)}
      39:{2,4,5}:{(27,1),(28,1),(49,1),(52,1),(53,1),(55,1)}
      40:{2,3,6}:{(27,1),(50,1),(53,1)}
      41:{3,4}:{(28,1),(30,1)}
      42:{2,4,6}:{(28,1),(29,1),(51,1),(54,1),(55,1)}
      43:{3,6}:{(30,1),(31,1)}
      44:{2,5,6}:{(31,1),(32,1),(55,1),(56,1)}
      45:{4,5,6}:{(33,1),(79,1)}
      46:{2,5}:{(34,1),(36,1),(58,1)}
      47:{2,4}:{(35,1),(37,1),(59,1)}
      48:{2,3,6}:{(35,1),(38,1),(58,1),(60,1),(74,1)}
      49:{1,4,5}:{(36,1),(37,1),(39,1),(57,1),(61,1),(62,1)}
      50:{1,3,6}:{(36,1),(40,1),(58,1),(61,1),(74,1)}
      51:{1,4,6}:{(37,1),(38,1),(42,1),(60,1),(62,1)}
      52:{3,4,5}:{(39,1),(41,1),(63,1),(65,1)}
      53:{2,4,6}:{(39,1),(40,1),(61,1),(63,1),(64,1)}
      54:{3,4,6}:{(41,1),(42,1),(43,1),(65,1),(66,1)}
      55:{2,5}:{(42,1),(62,1),(65,1)}
      56:{3,5,6}:{(43,1),(44,1),(65,1),(66,1)}
      57:{2,4,5}:{(46,1),(47,1),(49,1),(67,1),(68,1),(70,1),(79,1)}
      58:{2,6}:{(46,1),(50,1)}
      59:{3,4}:{(47,1),(67,1)}
      60:{2,4,6}:{(47,1),(48,1),(51,1),(69,1),(70,1)}
      61:{1,4,6}:{(49,1),(50,1),(53,1),(68,1),(71,1)}
      62:{1,5}:{(51,1),(55,1),(70,1)}
      63:{3,4,6}:{(52,1),(53,1),(72,1)}
      64:{2,5,6}:{(53,1),(55,1),(71,1),(72,1)}
      65:{3,5}:{(54,1),(55,1),(73,1)}
      66:{4,6}:{(56,1),(73,1)}
      67:{3,5}:{(57,1),(59,1),(74,1)}
      68:{2,4,6}:{(57,1),(58,1),(61,1),(74,1),(75,1),(80,1)}
      69:{3,4,6}:{(59,1),(60,1),(74,1),(76,1),(80,1)}
      70:{2,5}:{(60,1),(62,1),(76,1)}
      71:{1,5,6}:{(61,1),(62,1),(64,1),(75,1)}
      72:{3,5,6}:{(63,1),(64,1),(65,1),(77,1)}
      73:{4,5}:{(65,1),(66,1)}
      74:{3,6}:{(67,1),(68,1)}
      75:{2,5,6}:{(68,1),(70,1),(71,1),(78,1)}
      76:{3,5}:{(69,1),(70,1),(79,1)}
      77:{4,5,6}:{(72,1),(73,1)}
      78:{3,5,6}:{(74,1),(75,1),(76,1),(80,1)}
      79:{4,5}:{(76,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

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

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

170 :  0:{3,4,6}:{(2,1),(3,1),(14,1),(20,1),(31,1)}
       1:{2,3,6}:{(2,1),(4,1),(5,1),(31,1),(47,1)}
       2:{2,4,6}:{(0,1),(1,1),(7,1),(8,1),(12,1)}
       3:{3,5}:{(0,1),(8,1),(9,1)}
       4:{1,3,6}:{(1,1),(7,1),(10,1),(11,1),(23,1),(55,1)}
       5:{2,3,5}:{(1,1),(8,1),(11,1),(12,1),(26,1),(42,1),(43,1)}
       6:{3,5,6}:{(3,1),(13,1),(14,1),(31,1),(73,1)}
       7:{1,4,6}:{(2,1),(4,1),(15,1),(16,1),(19,1)}
       8:{2,5}:{(2,1),(3,1),(16,1)}
       9:{4,5}:{(3,1),(14,1)}
      10:{2,6}:{(4,1),(18,1)}
      11:{1,3,5}:{(4,1),(5,1),(16,1),(18,1),(19,1),(32,1),(35,1),(50,1),(51,1)}
      12:{2,4}:{(5,1),(19,1),(20,1)}
      13:{2,5,6}:{(6,1),(8,1),(21,1),(22,1),(71,1)}
      14:{4,6}:{(6,1),(9,1),(74,1)}
      15:{2,4,6}:{(7,1),(10,1),(23,1),(24,1),(27,1),(40,1)}
      16:{1,5}:{(7,1),(8,1),(24,1)}
      17:{2,4,5}:{(8,1),(9,1),(12,1),(22,1),(25,1),(26,1),(42,1),(67,1),(71,1),(74,1)}
      18:{2,5}:{(10,1),(11,1),(27,1),(58,1)}
      19:{1,4}:{(11,1),(12,1),(27,1),(40,1)}
      20:{3,4}:{(12,1),(26,1),(74,1)}
      21:{1,5,6}:{(13,1),(16,1),(29,1),(30,1),(68,1)}
      22:{2,4,6}:{(13,1),(14,1),(17,1),(30,1),(31,1),(47,1)}
      23:{3,6}:{(15,1),(32,1),(35,1)}
      24:{2,5}:{(15,1),(16,1),(32,1)}
      25:{1,4,5}:{(16,1),(17,1),(19,1),(30,1),(33,1),(34,1),(50,1),(62,1),(68,1)}
      26:{3,5}:{(17,1),(20,1),(31,1),(70,1)}
      27:{2,4}:{(18,1),(19,1),(35,1)}
      28:{1,3,4}:{(19,1),(20,1),(34,1),(35,1),(36,1),(48,1),(51,1),(62,1),(70,1)}
      29:{2,5,6}:{(21,1),(24,1),(37,1),(38,1),(64,1)}
      30:{1,4,6}:{(21,1),(22,1),(25,1),(38,1),(39,1),(55,1)}
      31:{3,6}:{(22,1),(26,1)}
      32:{3,5}:{(23,1),(24,1),(40,1)}
      33:{2,4,5}:{(24,1),(25,1),(27,1),(38,1),(40,1),(41,1),(42,1),(52,1),(56,1),(64,1)}
      34:{1,3,5}:{(25,1),(26,1),(28,1),(39,1),(41,1),(42,1)}
      35:{3}:{(27,1)}
      36:{2,4}:{(28,1),(42,1),(43,1),(44,1),(58,1)}
      37:{3,5,6}:{(29,1),(32,1),(45,1),(46,1),(59,1)}
      38:{2,4,6}:{(29,1),(30,1),(33,1),(45,1),(46,1),(47,1)}
      39:{1,3,6}:{(30,1),(31,1),(34,1),(46,1),(47,1)}
      40:{4}:{(32,1)}
      41:{3,5}:{(33,1),(35,1),(46,1),(48,1)}
      42:{2,5}:{(34,1),(36,1),(47,1),(50,1)}
      43:{2,3}:{(35,1),(36,1),(51,1),(70,1)}
      44:{1,4}:{(36,1),(50,1),(51,1)}
      45:{4,6}:{(37,1),(40,1),(52,1)}
      46:{3,6}:{(38,1),(41,1)}
      47:{2,6}:{(39,1),(42,1),(55,1)}
      48:{3,4}:{(40,1),(41,1),(56,1)}
      49:{2,3,5}:{(41,1),(42,1),(43,1),(54,1),(56,1),(57,1),(64,1)}
      50:{1,5}:{(42,1),(44,1),(55,1)}
      51:{1,3}:{(43,1),(44,1),(58,1)}
      52:{4,5}:{(45,1),(59,1)}
      53:{3,4,6}:{(45,1),(46,1),(48,1),(59,1),(60,1)}
      54:{2,3,6}:{(46,1),(47,1),(49,1),(60,1),(61,1)}
      55:{1,6}:{(47,1),(50,1)}
      56:{2,4}:{(48,1),(49,1),(62,1)}
      57:{1,3,5}:{(49,1),(50,1),(51,1),(61,1),(62,1),(63,1),(68,1),(70,1),(73,1)}
      58:{2}:{(51,1)}
      59:{3,5}:{(52,1),(53,1),(64,1)}
      60:{2,4,6}:{(53,1),(54,1),(56,1),(64,1),(65,1)}
      61:{1,3,6}:{(54,1),(55,1),(57,1),(65,1),(66,1),(72,1)}
      62:{1,4}:{(56,1),(57,1),(67,1),(74,1)}
      63:{2,5}:{(57,1),(58,1),(66,1),(67,1)}
      64:{2,5}:{(59,1),(60,1),(68,1)}
      65:{1,4,6}:{(60,1),(61,1),(62,1),(68,1),(69,1)}
      66:{2,6}:{(61,1),(63,1)}
      67:{2,4}:{(62,1),(63,1),(70,1)}
      68:{1,5}:{(64,1),(65,1),(71,1)}
      69:{2,4,6}:{(65,1),(66,1),(67,1),(71,1),(72,1),(74,1)}
      70:{3}:{(67,1)}
      71:{2,5}:{(68,1),(69,1),(73,1)}
      72:{3,6}:{(69,1),(70,1),(73,1)}
      73:{3,5}:{(71,1),(72,1),(74,1)}
      74:{4}:{(73,1)}

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

172 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
       1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
       2:{1,4}:{(0,1),(5,1),(21,1),(24,1)}
       3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
       4:{1,5}:{(1,1),(8,1),(9,1)}
       5:{2,4}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
       6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
       7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
       8:{1,4}:{(4,1),(5,1),(13,1)}
       9:{1,6}:{(4,1),(6,1),(34,1)}
      10:{3}:{(5,1)}
      11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
      12:{1,5}:{(7,1),(16,1)}
      13:{1,3}:{(8,1),(10,1),(17,1)}
      14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
      15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
      16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
      17:{2}:{(13,1),(21,1)}
      18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
      19:{1,5}:{(14,1),(16,1)}
      20:{3,5}:{(15,1),(16,1),(24,1)}
      21:{1}:{(17,1)}
      22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
      23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
      24:{4}:{(20,1)}
      25:{1,6}:{(21,1),(22,1),(28,1)}
      26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
      27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
      28:{1,5}:{(25,1),(26,1),(30,1)}
      29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
      30:{1,4}:{(28,1),(29,1),(32,1)}
      31:{3}:{(29,1)}
      32:{1,3}:{(30,1),(31,1),(33,1)}
      33:{2}:{(32,1),(34,1)}
      34:{1}:{(33,1)}

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

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

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

176 :  0:{1,2,6}:{(2,1),(3,1),(53,1)}
       1:{2,3,6}:{(2,1),(4,1),(5,1),(42,1),(53,1)}
       2:{1,3,6}:{(0,1),(1,1),(6,1),(7,1),(8,1),(55,1)}
       3:{1,2,5}:{(0,1),(8,1),(9,1),(48,1),(50,1)}
       4:{2,4,6}:{(1,1),(7,1),(10,1),(11,1),(12,1)}
       5:{2,3,5}:{(1,1),(8,1),(11,1),(12,1),(28,1),(32,1),(48,1)}
       6:{2,3,6}:{(2,1),(13,1),(14,1),(52,1),(53,1)}
       7:{1,4,6}:{(2,1),(4,1),(13,1),(15,1),(16,1)}
       8:{1,3,5}:{(2,1),(3,1),(5,1),(14,1),(15,1),(16,1),(17,1),(40,1),(54,1)}
       9:{1,2,4}:{(3,1),(16,1),(17,1),(39,1)}
      10:{3,4,6}:{(4,1),(18,1),(21,1),(41,1),(42,1)}
      11:{2,5}:{(4,1),(15,1),(18,1)}
      12:{2,4}:{(5,1),(16,1),(21,1)}
      13:{2,4,6}:{(6,1),(7,1),(22,1),(23,1),(24,1)}
      14:{2,3,5}:{(6,1),(8,1),(23,1),(24,1),(28,1),(46,1),(48,1)}
      15:{1,5}:{(7,1),(11,1),(23,1)}
      16:{1,4}:{(8,1),(12,1),(24,1)}
      17:{1,3}:{(9,1),(28,1)}
      18:{3,5}:{(10,1),(11,1),(30,1)}
      19:{2,5,6}:{(11,1),(25,1),(29,1),(31,1)}
      20:{2,4,5}:{(11,1),(12,1),(26,1),(30,1),(31,1),(32,1),(48,1)}
      21:{3,4}:{(12,1),(32,1)}
      22:{3,4,6}:{(13,1),(33,1),(36,1),(51,1),(52,1)}
      23:{2,5}:{(13,1),(15,1),(33,1)}
      24:{2,4}:{(14,1),(16,1),(36,1)}
      25:{1,5,6}:{(15,1),(19,1),(34,1),(37,1)}
      26:{1,4,5}:{(15,1),(16,1),(20,1),(35,1),(37,1),(38,1),(54,1)}
      27:{1,3,4}:{(16,1),(17,1),(21,1),(36,1),(38,1),(39,1)}
      28:{2,3}:{(17,1),(39,1),(40,1)}
      29:{3,5,6}:{(18,1),(19,1),(41,1),(42,1)}
      30:{4,5}:{(18,1),(41,1)}
      31:{2,4,6}:{(19,1),(20,1),(37,1),(41,1),(42,1),(53,1)}
      32:{3,5}:{(20,1),(21,1),(42,1)}
      33:{3,5}:{(22,1),(23,1),(44,1)}
      34:{2,5,6}:{(23,1),(25,1),(43,1),(45,1)}
      35:{2,4,5}:{(23,1),(24,1),(26,1),(44,1),(45,1),(46,1),(48,1)}
      36:{3,4}:{(24,1),(46,1)}
      37:{1,4,6}:{(25,1),(26,1),(31,1),(45,1),(47,1),(55,1)}
      38:{1,3,5}:{(26,1),(27,1),(32,1),(46,1),(47,1),(48,1)}
      39:{2,4}:{(27,1),(28,1),(48,1),(49,1)}
      40:{1,3}:{(28,1),(49,1),(50,1)}
      41:{4,6}:{(29,1),(30,1)}
      42:{3,6}:{(31,1),(32,1)}
      43:{3,5,6}:{(33,1),(34,1),(51,1),(52,1)}
      44:{4,5}:{(33,1),(51,1)}
      45:{2,4,6}:{(34,1),(35,1),(37,1),(51,1),(52,1),(53,1)}
      46:{3,5}:{(35,1),(36,1),(52,1)}
      47:{1,3,6}:{(37,1),(38,1),(42,1),(52,1),(53,1)}
      48:{2,5}:{(38,1),(39,1),(53,1),(54,1)}
      49:{1,4}:{(39,1),(40,1),(54,1)}
      50:{1,2}:{(40,1)}
      51:{4,6}:{(43,1),(44,1)}
      52:{3,6}:{(45,1),(46,1)}
      53:{2,6}:{(47,1),(48,1),(55,1)}
      54:{1,5}:{(48,1),(49,1),(55,1)}
      55:{1,6}:{(53,1),(54,1)}

177 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(12,1),(17,1),(25,1),(26,1),(33,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(17,1)}
       2:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(18,1),(20,1),(29,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(22,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1),(11,1)}
       5:{1,4,6}:{(1,1),(9,1),(11,1),(32,1)}
       6:{2,3,6}:{(2,1),(12,1),(13,1),(17,1),(28,1),(33,1)}
       7:{1,4,6}:{(2,1),(12,1),(14,1),(25,1)}
       8:{2,5}:{(2,1),(3,1),(14,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(25,1),(35,1)}
      10:{1,5,6}:{(4,1),(14,1),(16,1)}
      11:{2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(28,1)}
      12:{1,3,6}:{(6,1),(7,1),(18,1),(19,1),(32,1)}
      13:{2,3,5}:{(6,1),(8,1),(19,1),(20,1),(22,1),(31,1),(36,1)}
      14:{1,5}:{(7,1),(8,1)}
      15:{2,4,5}:{(8,1),(9,1),(11,1),(20,1),(21,1),(22,1),(29,1),(31,1)}
      16:{1,4,6}:{(10,1),(11,1),(21,1),(23,1)}
      17:{3,6}:{(11,1),(22,1)}
      18:{2,6}:{(12,1),(24,1)}
      19:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1),(33,1),(35,1),(38,1)}
      20:{2,4}:{(13,1),(25,1),(26,1)}
      21:{1,4,5}:{(14,1),(15,1),(16,1),(25,1),(27,1)}
      22:{3,5}:{(15,1),(17,1),(26,1),(33,1)}
      23:{1,3,6}:{(16,1),(17,1),(27,1),(28,1)}
      24:{2,5}:{(18,1),(19,1),(29,1),(39,1)}
      25:{1,4}:{(19,1),(20,1),(29,1)}
      26:{3,4}:{(20,1),(22,1)}
      27:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1)}
      28:{2,6}:{(23,1),(31,1),(32,1)}
      29:{2,4}:{(24,1),(25,1),(33,1)}
      30:{1,3,4}:{(25,1),(26,1),(27,1),(33,1),(34,1),(38,1)}
      31:{2,5}:{(27,1),(28,1),(34,1),(35,1)}
      32:{1,6}:{(28,1),(35,1)}
      33:{3}:{(29,1)}
      34:{2,4}:{(30,1),(31,1),(36,1),(37,1),(39,1)}
      35:{1,5}:{(31,1),(32,1),(37,1)}
      36:{2,3}:{(33,1),(34,1),(38,1)}
      37:{1,4}:{(34,1),(35,1),(38,1)}
      38:{1,3}:{(36,1),(37,1),(39,1)}
      39:{2}:{(38,1)}

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

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

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

181 :  0:{2,3,4}:{(2,1),(3,1),(25,1),(47,1)}
       1:{3,4,5}:{(5,1),(6,1),(57,1),(74,1)}
       2:{2,3,5}:{(0,1),(6,1),(7,1),(8,1)}
       3:{1,3,4}:{(0,1),(8,1),(9,1),(18,1),(38,1),(42,1)}
       4:{4,5,6}:{(11,1),(78,1)}
       5:{3,4,6}:{(1,1),(11,1),(12,1)}
       6:{2,4,5}:{(1,1),(2,1),(12,1),(13,1),(47,1),(69,1)}
       7:{2,3,6}:{(2,1),(12,1),(14,1)}
       8:{1,3,5}:{(2,1),(3,1),(13,1),(14,1),(15,1),(31,1)}
       9:{2,4}:{(3,1),(15,1),(16,1)}
      10:{1,2,4}:{(9,1),(17,1),(18,1),(36,1),(38,1)}
      11:{3,5,6}:{(4,1),(5,1),(19,1),(74,1)}
      12:{2,4,6}:{(5,1),(6,1),(7,1),(19,1),(20,1)}
      13:{1,4,5}:{(6,1),(8,1),(20,1),(21,1),(38,1),(61,1)}
      14:{1,3,6}:{(7,1),(8,1),(20,1),(22,1),(41,1)}
      15:{2,5}:{(8,1),(9,1),(22,1)}
      16:{2,3}:{(9,1),(18,1)}
      17:{1,2,5}:{(10,1),(15,1),(26,1),(27,1),(48,1)}
      18:{1,3}:{(10,1),(16,1),(25,1)}
      19:{2,5,6}:{(11,1),(12,1),(29,1),(69,1)}
      20:{1,4,6}:{(12,1),(13,1),(14,1),(29,1),(30,1)}
      21:{2,4,5}:{(13,1),(15,1),(30,1),(31,1),(33,1),(55,1),(72,1)}
      22:{2,6}:{(14,1),(15,1)}
      23:{2,3,5}:{(15,1),(16,1),(27,1),(31,1),(32,1),(33,1),(55,1)}
      24:{2,3,4}:{(16,1),(28,1),(33,1),(34,1)}
      25:{2,3}:{(18,1),(36,1)}
      26:{1,2,6}:{(17,1),(22,1),(37,1),(60,1)}
      27:{1,3,5}:{(17,1),(18,1),(23,1),(35,1),(37,1),(38,1),(61,1)}
      28:{1,3,4}:{(18,1),(24,1),(36,1),(38,1),(39,1),(57,1)}
      29:{1,5,6}:{(19,1),(20,1),(40,1),(61,1)}
      30:{2,4,6}:{(20,1),(21,1),(22,1),(40,1),(41,1),(63,1)}
      31:{3,5}:{(21,1),(41,1),(42,1)}
      32:{2,3,6}:{(22,1),(23,1),(37,1),(41,1),(43,1)}
      33:{2,4}:{(23,1),(38,1),(42,1)}
      34:{2,3,5}:{(24,1),(39,1),(44,1),(45,1)}
      35:{2,3,5}:{(25,1),(27,1),(46,1),(47,1),(48,1),(68,1),(69,1)}
      36:{2,4}:{(25,1),(28,1),(48,1)}
      37:{1,3,6}:{(26,1),(27,1),(32,1),(46,1),(49,1)}
      38:{1,4}:{(27,1),(33,1),(47,1)}
      39:{1,3,5}:{(28,1),(34,1),(48,1),(50,1),(51,1),(68,1)}
      40:{2,5,6}:{(29,1),(30,1),(52,1),(55,1)}
      41:{3,6}:{(30,1),(31,1)}
      42:{3,4}:{(31,1),(33,1)}
      43:{2,4,6}:{(32,1),(33,1),(49,1),(53,1),(55,1)}
      44:{2,4,5}:{(33,1),(34,1),(50,1),(54,1),(55,1),(56,1)}
      45:{2,3,6}:{(34,1),(51,1),(56,1)}
      46:{2,3,6}:{(35,1),(37,1),(58,1),(60,1),(75,1)}
      47:{2,4}:{(35,1),(38,1),(57,1)}
      48:{2,5}:{(36,1),(39,1),(60,1)}
      49:{1,4,6}:{(37,1),(38,1),(43,1),(58,1),(61,1)}
      50:{1,4,5}:{(38,1),(39,1),(44,1),(59,1),(61,1),(62,1)}
      51:{1,3,6}:{(39,1),(45,1),(60,1),(62,1),(75,1)}
      52:{3,5,6}:{(40,1),(41,1),(63,1),(64,1)}
      53:{3,4,6}:{(41,1),(42,1),(43,1),(63,1),(64,1)}
      54:{3,4,5}:{(42,1),(44,1),(64,1),(65,1)}
      55:{2,5}:{(43,1),(61,1),(64,1)}
      56:{2,4,6}:{(44,1),(45,1),(62,1),(65,1),(66,1)}
      57:{3,4}:{(47,1),(68,1)}
      58:{2,4,6}:{(46,1),(47,1),(49,1),(67,1),(69,1)}
      59:{2,4,5}:{(47,1),(48,1),(50,1),(68,1),(69,1),(70,1),(78,1)}
      60:{2,6}:{(48,1),(51,1)}
      61:{1,5}:{(49,1),(55,1),(69,1)}
      62:{1,4,6}:{(50,1),(51,1),(56,1),(70,1),(71,1)}
      63:{4,6}:{(52,1),(72,1)}
      64:{3,5}:{(53,1),(55,1),(72,1)}
      65:{3,4,6}:{(54,1),(56,1),(73,1)}
      66:{2,5,6}:{(55,1),(56,1),(71,1),(73,1)}
      67:{3,4,6}:{(57,1),(58,1),(74,1),(75,1),(80,1)}
      68:{3,5}:{(57,1),(59,1),(75,1)}
      69:{2,5}:{(58,1),(61,1),(74,1)}
      70:{2,4,6}:{(59,1),(60,1),(62,1),(75,1),(76,1),(80,1)}
      71:{1,5,6}:{(61,1),(62,1),(66,1),(76,1)}
      72:{4,5}:{(63,1),(64,1)}
      73:{3,5,6}:{(64,1),(65,1),(66,1),(77,1)}
      74:{3,5}:{(67,1),(69,1),(78,1)}
      75:{3,6}:{(68,1),(70,1)}
      76:{2,5,6}:{(69,1),(70,1),(71,1),(79,1)}
      77:{4,5,6}:{(72,1),(73,1)}
      78:{4,5}:{(74,1),(80,1)}
      79:{3,5,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

182 :  0:{3,4,5}:{(2,1),(3,1),(62,1),(75,1)}
       1:{4,5,6}:{(6,1),(78,1)}
       2:{3,4,6}:{(0,1),(6,1),(7,1)}
       3:{2,4,5}:{(0,1),(5,1),(7,1),(8,1),(53,1),(72,1)}
       4:{2,3,4}:{(5,1),(9,1),(38,1),(53,1)}
       5:{2,3,5}:{(3,1),(4,1),(10,1),(11,1)}
       6:{3,5,6}:{(1,1),(2,1),(12,1),(75,1)}
       7:{2,4,6}:{(2,1),(3,1),(10,1),(12,1),(13,1)}
       8:{1,4,5}:{(3,1),(11,1),(13,1),(14,1),(43,1),(65,1)}
       9:{1,3,4}:{(4,1),(11,1),(15,1),(28,1),(29,1),(43,1)}
      10:{2,3,6}:{(5,1),(7,1),(16,1)}
      11:{1,3,5}:{(5,1),(8,1),(9,1),(16,1),(17,1),(20,1)}
      12:{2,5,6}:{(6,1),(7,1),(18,1),(72,1)}
      13:{1,4,6}:{(7,1),(8,1),(16,1),(18,1),(19,1)}
      14:{2,4,5}:{(8,1),(17,1),(19,1),(20,1),(34,1),(56,1),(58,1)}
      15:{2,4}:{(9,1),(17,1),(22,1)}
      16:{1,3,6}:{(10,1),(11,1),(13,1),(24,1),(27,1)}
      17:{2,5}:{(11,1),(15,1),(24,1)}
      18:{1,5,6}:{(12,1),(13,1),(26,1),(65,1)}
      19:{2,4,6}:{(13,1),(14,1),(24,1),(26,1),(27,1),(46,1)}
      20:{3,5}:{(14,1),(27,1),(28,1)}
      21:{1,2,4}:{(15,1),(23,1),(29,1),(43,1),(49,1)}
      22:{2,3}:{(15,1),(29,1)}
      23:{1,2,5}:{(17,1),(21,1),(31,1),(32,1),(60,1)}
      24:{2,6}:{(16,1),(17,1)}
      25:{2,3,5}:{(17,1),(20,1),(22,1),(32,1),(33,1),(34,1),(56,1)}
      26:{2,5,6}:{(18,1),(19,1),(35,1),(56,1)}
      27:{3,6}:{(19,1),(20,1)}
      28:{3,4}:{(20,1),(34,1)}
      29:{1,3}:{(21,1),(22,1),(38,1)}
      30:{2,3,4}:{(22,1),(34,1),(39,1),(40,1)}
      31:{1,2,6}:{(23,1),(24,1),(42,1),(69,1)}
      32:{1,3,5}:{(23,1),(25,1),(29,1),(41,1),(42,1),(43,1),(65,1)}
      33:{2,3,6}:{(24,1),(25,1),(27,1),(42,1),(44,1)}
      34:{2,4}:{(25,1),(28,1),(43,1)}
      35:{3,5,6}:{(26,1),(27,1),(46,1),(47,1)}
      36:{3,4,6}:{(27,1),(28,1),(44,1),(46,1),(47,1)}
      37:{3,4,5}:{(28,1),(45,1),(47,1),(48,1)}
      38:{2,3}:{(29,1),(49,1)}
      39:{1,3,4}:{(29,1),(30,1),(43,1),(49,1),(50,1),(62,1)}
      40:{2,3,5}:{(30,1),(45,1),(50,1),(51,1)}
      41:{2,3,5}:{(32,1),(38,1),(52,1),(53,1),(60,1),(71,1),(72,1)}
      42:{1,3,6}:{(31,1),(32,1),(33,1),(52,1),(54,1)}
      43:{1,4}:{(32,1),(34,1),(53,1)}
      44:{2,4,6}:{(33,1),(34,1),(36,1),(54,1),(56,1)}
      45:{2,4,5}:{(34,1),(37,1),(40,1),(55,1),(56,1),(57,1)}
      46:{4,6}:{(35,1),(58,1)}
      47:{3,5}:{(36,1),(56,1),(58,1)}
      48:{3,4,6}:{(37,1),(57,1),(59,1)}
      49:{2,4}:{(38,1),(39,1),(60,1)}
      50:{1,3,5}:{(39,1),(40,1),(55,1),(60,1),(61,1),(71,1)}
      51:{2,3,6}:{(40,1),(57,1),(61,1)}
      52:{2,3,6}:{(41,1),(42,1),(63,1),(69,1),(76,1)}
      53:{2,4}:{(41,1),(43,1),(62,1)}
      54:{1,4,6}:{(42,1),(43,1),(44,1),(63,1),(65,1)}
      55:{1,4,5}:{(43,1),(45,1),(50,1),(64,1),(65,1),(66,1)}
      56:{2,5}:{(44,1),(47,1),(65,1)}
      57:{2,4,6}:{(45,1),(48,1),(51,1),(66,1),(67,1)}
      58:{4,5}:{(46,1),(47,1)}
      59:{3,5,6}:{(47,1),(48,1),(67,1),(68,1)}
      60:{2,5}:{(49,1),(50,1),(69,1)}
      61:{1,3,6}:{(50,1),(51,1),(66,1),(69,1),(76,1)}
      62:{3,4}:{(53,1),(71,1)}
      63:{2,4,6}:{(52,1),(53,1),(54,1),(70,1),(72,1)}
      64:{2,4,5}:{(53,1),(55,1),(60,1),(71,1),(72,1),(73,1),(78,1)}
      65:{1,5}:{(54,1),(56,1),(72,1)}
      66:{1,4,6}:{(55,1),(57,1),(61,1),(73,1),(74,1)}
      67:{2,5,6}:{(56,1),(57,1),(59,1),(74,1)}
      68:{4,5,6}:{(58,1),(59,1)}
      69:{2,6}:{(60,1),(61,1)}
      70:{3,4,6}:{(62,1),(63,1),(75,1),(76,1),(80,1)}
      71:{3,5}:{(62,1),(64,1),(76,1)}
      72:{2,5}:{(63,1),(65,1),(75,1)}
      73:{2,4,6}:{(64,1),(66,1),(69,1),(76,1),(77,1),(80,1)}
      74:{1,5,6}:{(65,1),(66,1),(67,1),(77,1)}
      75:{3,5}:{(70,1),(72,1),(78,1)}
      76:{3,6}:{(71,1),(73,1)}
      77:{2,5,6}:{(72,1),(73,1),(74,1),(79,1)}
      78:{4,5}:{(75,1),(80,1)}
      79:{3,5,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

183 :  0:{4,5,6}:{(1,1),(78,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1),(75,1)}
       2:{3,4,5}:{(3,1),(5,1),(66,1),(75,1)}
       3:{3,4,6}:{(1,1),(2,1),(7,1)}
       4:{2,5,6}:{(1,1),(7,1),(8,1),(71,1)}
       5:{2,4,5}:{(2,1),(7,1),(9,1),(10,1),(58,1),(71,1)}
       6:{2,3,4}:{(9,1),(11,1),(40,1),(58,1)}
       7:{2,4,6}:{(3,1),(4,1),(5,1),(12,1),(13,1)}
       8:{1,5,6}:{(4,1),(13,1),(14,1),(64,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1),(15,1)}
      10:{1,4,5}:{(5,1),(13,1),(15,1),(16,1),(48,1),(64,1)}
      11:{1,3,4}:{(6,1),(15,1),(17,1),(30,1),(31,1),(48,1)}
      12:{2,3,6}:{(7,1),(9,1),(18,1)}
      13:{1,4,6}:{(7,1),(8,1),(10,1),(18,1),(19,1)}
      14:{2,5,6}:{(8,1),(19,1),(20,1),(56,1)}
      15:{1,3,5}:{(9,1),(10,1),(11,1),(18,1),(21,1),(22,1)}
      16:{2,4,5}:{(10,1),(19,1),(21,1),(22,1),(36,1),(38,1),(56,1)}
      17:{2,4}:{(11,1),(21,1),(24,1)}
      18:{1,3,6}:{(12,1),(13,1),(15,1),(25,1),(26,1)}
      19:{2,4,6}:{(13,1),(14,1),(16,1),(25,1),(26,1),(27,1)}
      20:{3,5,6}:{(14,1),(26,1),(27,1),(45,1)}
      21:{2,5}:{(15,1),(17,1),(25,1)}
      22:{3,5}:{(16,1),(26,1),(30,1)}
      23:{1,2,4}:{(17,1),(28,1),(31,1),(48,1),(51,1)}
      24:{2,3}:{(17,1),(31,1)}
      25:{2,6}:{(18,1),(21,1)}
      26:{3,6}:{(19,1),(22,1)}
      27:{4,6}:{(20,1),(36,1)}
      28:{1,2,5}:{(21,1),(23,1),(33,1),(37,1),(61,1)}
      29:{2,3,5}:{(21,1),(22,1),(24,1),(34,1),(37,1),(38,1),(56,1)}
      30:{3,4}:{(22,1),(38,1)}
      31:{1,3}:{(23,1),(24,1),(40,1)}
      32:{2,3,4}:{(24,1),(38,1),(41,1),(42,1)}
      33:{1,2,6}:{(25,1),(28,1),(43,1),(69,1)}
      34:{2,3,6}:{(25,1),(26,1),(29,1),(43,1),(44,1)}
      35:{3,4,6}:{(26,1),(27,1),(30,1),(44,1),(45,1)}
      36:{4,5}:{(27,1),(45,1)}
      37:{1,3,5}:{(28,1),(29,1),(31,1),(43,1),(47,1),(48,1),(64,1)}
      38:{2,4}:{(29,1),(30,1),(48,1)}
      39:{3,4,5}:{(30,1),(45,1),(49,1),(50,1)}
      40:{2,3}:{(31,1),(51,1)}
      41:{1,3,4}:{(31,1),(32,1),(48,1),(51,1),(52,1),(66,1)}
      42:{2,3,5}:{(32,1),(49,1),(52,1),(53,1)}
      43:{1,3,6}:{(33,1),(34,1),(37,1),(54,1),(55,1)}
      44:{2,4,6}:{(34,1),(35,1),(38,1),(55,1),(56,1)}
      45:{3,5}:{(35,1),(36,1),(56,1)}
      46:{4,5,6}:{(36,1),(57,1)}
      47:{2,3,5}:{(37,1),(40,1),(54,1),(58,1),(61,1),(71,1),(73,1)}
      48:{1,4}:{(37,1),(38,1),(58,1)}
      49:{2,4,5}:{(38,1),(39,1),(42,1),(56,1),(59,1),(60,1)}
      50:{3,4,6}:{(39,1),(57,1),(60,1)}
      51:{2,4}:{(40,1),(41,1),(61,1)}
      52:{1,3,5}:{(41,1),(42,1),(59,1),(61,1),(62,1),(73,1)}
      53:{2,3,6}:{(42,1),(60,1),(62,1)}
      54:{2,3,6}:{(43,1),(47,1),(63,1),(69,1),(77,1)}
      55:{1,4,6}:{(43,1),(44,1),(48,1),(63,1),(64,1)}
      56:{2,5}:{(44,1),(45,1),(64,1)}
      57:{3,5,6}:{(45,1),(46,1),(50,1),(65,1)}
      58:{2,4}:{(47,1),(48,1),(66,1)}
      59:{1,4,5}:{(48,1),(49,1),(52,1),(64,1),(67,1),(68,1)}
      60:{2,4,6}:{(49,1),(50,1),(53,1),(65,1),(68,1)}
      61:{2,5}:{(51,1),(52,1),(69,1)}
      62:{1,3,6}:{(52,1),(53,1),(68,1),(69,1),(77,1)}
      63:{2,4,6}:{(54,1),(55,1),(58,1),(70,1),(71,1)}
      64:{1,5}:{(55,1),(56,1),(71,1)}
      65:{2,5,6}:{(56,1),(57,1),(60,1),(72,1)}
      66:{3,4}:{(58,1),(73,1)}
      67:{2,4,5}:{(58,1),(59,1),(61,1),(71,1),(73,1),(74,1),(78,1)}
      68:{1,4,6}:{(59,1),(60,1),(62,1),(72,1),(74,1)}
      69:{2,6}:{(61,1),(62,1)}
      70:{3,4,6}:{(63,1),(66,1),(75,1),(77,1),(80,1)}
      71:{2,5}:{(63,1),(64,1),(75,1)}
      72:{1,5,6}:{(64,1),(65,1),(68,1),(76,1)}
      73:{3,5}:{(66,1),(67,1),(77,1)}
      74:{2,4,6}:{(67,1),(68,1),(69,1),(76,1),(77,1),(80,1)}
      75:{3,5}:{(70,1),(71,1),(78,1)}
      76:{2,5,6}:{(71,1),(72,1),(74,1),(79,1)}
      77:{3,6}:{(73,1),(74,1)}
      78:{4,5}:{(75,1),(80,1)}
      79:{3,5,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

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

185 :  0:{3,4,6}:{(2,1),(3,1),(17,1),(20,1),(34,1)}
       1:{2,3,6}:{(2,1),(4,1),(5,1),(34,1),(49,1)}
       2:{2,4,6}:{(0,1),(1,1),(6,1),(7,1),(12,1)}
       3:{3,5}:{(0,1),(7,1),(9,1)}
       4:{1,3,6}:{(1,1),(6,1),(10,1),(11,1),(21,1),(57,1)}
       5:{2,3,5}:{(1,1),(7,1),(11,1),(12,1),(26,1),(42,1),(43,1)}
       6:{1,4,6}:{(2,1),(4,1),(13,1),(14,1),(19,1)}
       7:{2,5}:{(2,1),(3,1),(14,1)}
       8:{3,5,6}:{(3,1),(15,1),(17,1),(34,1),(73,1)}
       9:{4,5}:{(3,1),(17,1)}
      10:{2,6}:{(4,1),(18,1)}
      11:{1,3,5}:{(4,1),(5,1),(14,1),(18,1),(19,1),(29,1),(35,1),(50,1),(51,1)}
      12:{2,4}:{(5,1),(19,1),(20,1)}
      13:{2,4,6}:{(6,1),(10,1),(21,1),(22,1),(27,1),(38,1)}
      14:{1,5}:{(6,1),(7,1),(22,1)}
      15:{2,5,6}:{(7,1),(8,1),(23,1),(25,1),(71,1)}
      16:{2,4,5}:{(7,1),(9,1),(12,1),(24,1),(25,1),(26,1),(42,1),(66,1),(71,1),(74,1)}
      17:{4,6}:{(8,1),(9,1),(74,1)}
      18:{2,5}:{(10,1),(11,1),(27,1),(58,1)}
      19:{1,4}:{(11,1),(12,1),(27,1),(38,1)}
      20:{3,4}:{(12,1),(26,1),(74,1)}
      21:{3,6}:{(13,1),(29,1),(35,1)}
      22:{2,5}:{(13,1),(14,1),(29,1)}
      23:{1,5,6}:{(14,1),(15,1),(30,1),(32,1),(68,1)}
      24:{1,4,5}:{(14,1),(16,1),(19,1),(31,1),(32,1),(33,1),(50,1),(61,1),(68,1)}
      25:{2,4,6}:{(15,1),(16,1),(17,1),(32,1),(34,1),(49,1)}
      26:{3,5}:{(16,1),(20,1),(34,1),(70,1)}
      27:{2,4}:{(18,1),(19,1),(35,1)}
      28:{1,3,4}:{(19,1),(20,1),(33,1),(35,1),(36,1),(46,1),(51,1),(61,1),(70,1)}
      29:{3,5}:{(21,1),(22,1),(38,1)}
      30:{2,5,6}:{(22,1),(23,1),(37,1),(39,1),(64,1)}
      31:{2,4,5}:{(22,1),(24,1),(27,1),(38,1),(39,1),(40,1),(42,1),(52,1),(54,1),(64,1)}
      32:{1,4,6}:{(23,1),(24,1),(25,1),(39,1),(41,1),(57,1)}
      33:{1,3,5}:{(24,1),(26,1),(28,1),(40,1),(41,1),(42,1)}
      34:{3,6}:{(25,1),(26,1)}
      35:{3}:{(27,1)}
      36:{2,4}:{(28,1),(42,1),(43,1),(44,1),(58,1)}
      37:{3,5,6}:{(29,1),(30,1),(45,1),(47,1),(59,1)}
      38:{4}:{(29,1)}
      39:{2,4,6}:{(30,1),(31,1),(32,1),(45,1),(47,1),(49,1)}
      40:{3,5}:{(31,1),(35,1),(46,1),(47,1)}
      41:{1,3,6}:{(32,1),(33,1),(34,1),(47,1),(49,1)}
      42:{2,5}:{(33,1),(36,1),(49,1),(50,1)}
      43:{2,3}:{(35,1),(36,1),(51,1),(70,1)}
      44:{1,4}:{(36,1),(50,1),(51,1)}
      45:{4,6}:{(37,1),(38,1),(52,1)}
      46:{3,4}:{(38,1),(40,1),(54,1)}
      47:{3,6}:{(39,1),(40,1)}
      48:{2,3,5}:{(40,1),(42,1),(43,1),(54,1),(55,1),(56,1),(64,1)}
      49:{2,6}:{(41,1),(42,1),(57,1)}
      50:{1,5}:{(42,1),(44,1),(57,1)}
      51:{1,3}:{(43,1),(44,1),(58,1)}
      52:{4,5}:{(45,1),(59,1)}
      53:{3,4,6}:{(45,1),(46,1),(47,1),(59,1),(60,1)}
      54:{2,4}:{(46,1),(48,1),(61,1)}
      55:{2,3,6}:{(47,1),(48,1),(49,1),(60,1),(62,1)}
      56:{1,3,5}:{(48,1),(50,1),(51,1),(61,1),(62,1),(63,1),(68,1),(70,1),(73,1)}
      57:{1,6}:{(49,1),(50,1)}
      58:{2}:{(51,1)}
      59:{3,5}:{(52,1),(53,1),(64,1)}
      60:{2,4,6}:{(53,1),(54,1),(55,1),(64,1),(65,1)}
      61:{1,4}:{(54,1),(56,1),(66,1),(74,1)}
      62:{1,3,6}:{(55,1),(56,1),(57,1),(65,1),(67,1),(72,1)}
      63:{2,5}:{(56,1),(58,1),(66,1),(67,1)}
      64:{2,5}:{(59,1),(60,1),(68,1)}
      65:{1,4,6}:{(60,1),(61,1),(62,1),(68,1),(69,1)}
      66:{2,4}:{(61,1),(63,1),(70,1)}
      67:{2,6}:{(62,1),(63,1)}
      68:{1,5}:{(64,1),(65,1),(71,1)}
      69:{2,4,6}:{(65,1),(66,1),(67,1),(71,1),(72,1),(74,1)}
      70:{3}:{(66,1)}
      71:{2,5}:{(68,1),(69,1),(73,1)}
      72:{3,6}:{(69,1),(70,1),(73,1)}
      73:{3,5}:{(71,1),(72,1),(74,1)}
      74:{4}:{(73,1)}

186 :  0:{4,5}:{(3,1),(4,1)}
       1:{3,4}:{(3,1),(5,1)}
       2:{2,3}:{(5,1),(6,1)}
       3:{3,5}:{(0,1),(1,1),(7,1),(8,1)}
       4:{4,6}:{(0,1),(8,1),(9,1)}
       5:{2,4}:{(1,1),(2,1),(7,1),(10,1)}
       6:{1,3}:{(2,1),(10,1),(11,1),(17,1)}
       7:{2,5}:{(3,1),(5,1),(12,1),(13,1)}
       8:{3,6}:{(3,1),(4,1),(13,1)}
       9:{5,6}:{(4,1)}
      10:{1,4}:{(5,1),(6,1),(12,1),(14,1)}
      11:{2}:{(6,1)}
      12:{1,5}:{(7,1),(10,1),(15,1),(16,1)}
      13:{2,6}:{(7,1),(8,1),(16,1)}
      14:{2,4}:{(10,1),(11,1),(15,1),(17,1),(20,1)}
      15:{2,5}:{(12,1),(14,1),(18,1),(19,1)}
      16:{1,6}:{(12,1),(13,1),(19,1)}
      17:{3}:{(14,1)}
      18:{3,5}:{(15,1),(17,1),(20,1),(21,1),(23,1)}
      19:{2,6}:{(15,1),(16,1),(21,1)}
      20:{4}:{(18,1)}
      21:{3,6}:{(18,1),(19,1),(22,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

187 :  0:{2,3,5}:{(1,1),(2,1),(3,1),(11,1),(18,1),(31,1),(35,1)}
       1:{1,3,5}:{(0,1),(5,1),(6,1),(7,1),(24,1),(27,1),(44,1),(47,1),(48,1)}
       2:{2,4}:{(0,1),(6,1),(8,1)}
       3:{2,3,6}:{(0,1),(7,1),(9,1),(22,1),(45,1)}
       4:{2,4,5}:{(2,1),(10,1),(11,1),(12,1),(18,1),(31,1),(39,1),(63,1),(72,1),(74,1)}
       5:{2,5}:{(1,1),(13,1),(14,1),(55,1)}
       6:{1,4}:{(1,1),(2,1),(13,1),(56,1)}
       7:{1,3,6}:{(1,1),(3,1),(14,1),(16,1),(36,1),(54,1)}
       8:{3,4}:{(2,1),(11,1),(74,1)}
       9:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1)}
      10:{1,4,5}:{(4,1),(6,1),(19,1),(20,1),(21,1),(27,1),(44,1),(57,1),(70,1)}
      11:{3,5}:{(4,1),(8,1),(22,1),(68,1)}
      12:{2,4,6}:{(4,1),(21,1),(22,1),(23,1),(45,1),(46,1)}
      13:{2,4}:{(5,1),(6,1),(24,1)}
      14:{2,6}:{(5,1),(7,1)}
      15:{1,3,4}:{(6,1),(8,1),(20,1),(24,1),(26,1),(40,1),(47,1),(57,1),(68,1)}
      16:{1,4,6}:{(6,1),(7,1),(9,1),(25,1),(27,1)}
      17:{3,4,6}:{(8,1),(9,1),(22,1),(28,1),(46,1)}
      18:{2,5}:{(9,1),(27,1),(28,1)}
      19:{2,4,5}:{(10,1),(13,1),(29,1),(30,1),(31,1),(37,1),(49,1),(56,1),(65,1),(66,1)}
      20:{1,3,5}:{(10,1),(11,1),(15,1),(29,1),(31,1),(32,1)}
      21:{1,4,6}:{(10,1),(12,1),(30,1),(32,1),(33,1),(54,1)}
      22:{3,6}:{(11,1),(12,1)}
      23:{2,5,6}:{(12,1),(18,1),(33,1),(34,1),(72,1)}
      24:{3}:{(13,1)}
      25:{2,4,6}:{(13,1),(14,1),(16,1),(36,1),(37,1),(56,1)}
      26:{2,4}:{(15,1),(31,1),(35,1),(38,1),(55,1)}
      27:{1,5}:{(16,1),(18,1),(37,1)}
      28:{3,5}:{(17,1),(18,1),(39,1)}
      29:{3,5}:{(19,1),(24,1),(40,1),(42,1)}
      30:{2,4,6}:{(19,1),(21,1),(42,1),(43,1),(45,1),(62,1)}
      31:{2,5}:{(20,1),(26,1),(44,1),(45,1)}
      32:{1,3,6}:{(20,1),(21,1),(22,1),(42,1),(45,1)}
      33:{1,5,6}:{(21,1),(23,1),(27,1),(43,1),(70,1)}
      34:{3,5,6}:{(22,1),(23,1),(28,1),(46,1),(73,1)}
      35:{2,3}:{(24,1),(26,1),(47,1),(68,1)}
      36:{3,6}:{(24,1),(25,1),(48,1)}
      37:{2,5}:{(25,1),(27,1),(48,1)}
      38:{1,4}:{(26,1),(44,1),(47,1)}
      39:{4,5}:{(28,1),(46,1)}
      40:{3,4}:{(29,1),(49,1),(56,1)}
      41:{2,3,5}:{(29,1),(31,1),(35,1),(49,1),(51,1),(52,1),(65,1)}
      42:{3,6}:{(29,1),(30,1)}
      43:{2,5,6}:{(30,1),(33,1),(37,1),(53,1),(65,1)}
      44:{1,5}:{(31,1),(38,1),(54,1)}
      45:{2,6}:{(31,1),(32,1),(54,1)}
      46:{4,6}:{(34,1),(39,1),(74,1)}
      47:{1,3}:{(35,1),(38,1),(55,1)}
      48:{3,5}:{(36,1),(37,1),(56,1)}
      49:{2,4}:{(40,1),(41,1),(57,1)}
      50:{3,4,6}:{(40,1),(42,1),(58,1),(59,1),(62,1)}
      51:{1,3,5}:{(41,1),(44,1),(47,1),(57,1),(60,1),(61,1),(68,1),(70,1),(73,1)}
      52:{2,3,6}:{(41,1),(42,1),(45,1),(58,1),(61,1)}
      53:{3,5,6}:{(42,1),(43,1),(48,1),(59,1),(62,1)}
      54:{1,6}:{(44,1),(45,1)}
      55:{2}:{(47,1)}
      56:{4}:{(48,1)}
      57:{1,4}:{(49,1),(51,1),(63,1),(74,1)}
      58:{2,4,6}:{(49,1),(50,1),(52,1),(64,1),(65,1)}
      59:{3,5}:{(50,1),(65,1),(66,1)}
      60:{2,5}:{(51,1),(55,1),(63,1),(67,1)}
      61:{1,3,6}:{(51,1),(52,1),(54,1),(64,1),(67,1),(71,1)}
      62:{4,6}:{(53,1),(56,1),(66,1)}
      63:{2,4}:{(57,1),(60,1),(68,1)}
      64:{1,4,6}:{(57,1),(58,1),(61,1),(69,1),(70,1)}
      65:{2,5}:{(58,1),(59,1),(70,1)}
      66:{4,5}:{(59,1),(62,1)}
      67:{2,6}:{(60,1),(61,1)}
      68:{3}:{(63,1)}
      69:{2,4,6}:{(63,1),(64,1),(67,1),(71,1),(72,1),(74,1)}
      70:{1,5}:{(64,1),(65,1),(72,1)}
      71:{3,6}:{(68,1),(69,1),(73,1)}
      72:{2,5}:{(69,1),(70,1),(73,1)}
      73:{3,5}:{(71,1),(72,1),(74,1)}
      74:{4}:{(73,1)}

188 :  0:{1,2}:{(3,1)}
       1:{2,3}:{(3,1),(4,1)}
       2:{3,4}:{(4,1),(5,1)}
       3:{1,3}:{(0,1),(1,1),(6,1),(7,1)}
       4:{2,4}:{(1,1),(2,1),(7,1),(8,1)}
       5:{3,5}:{(2,1),(8,1),(9,1),(10,1)}
       6:{2,3}:{(3,1),(11,1)}
       7:{1,4}:{(3,1),(4,1),(11,1),(12,1)}
       8:{2,5}:{(4,1),(5,1),(12,1),(13,1)}
       9:{4,5}:{(5,1),(14,1)}
      10:{3,6}:{(5,1),(13,1),(14,1)}
      11:{2,4}:{(6,1),(7,1),(15,1),(16,1)}
      12:{1,5}:{(7,1),(8,1),(16,1),(17,1)}
      13:{2,6}:{(8,1),(10,1),(17,1)}
      14:{4,6}:{(9,1),(10,1),(18,1)}
      15:{3,4}:{(11,1),(19,1)}
      16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
      17:{1,6}:{(12,1),(13,1),(20,1)}
      18:{5,6}:{(14,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{2,6}:{(16,1),(17,1),(22,1)}
      21:{4,5}:{(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{4,6}:{(21,1),(22,1),(24,1)}
      24:{5,6}:{(23,1)}

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

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

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

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

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

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

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

196 :  0:{1,3,5}:{(1,1),(2,1),(3,1),(10,1),(12,1),(20,1)}
       1:{2,5}:{(0,1),(4,1),(5,1),(6,1)}
       2:{1,4}:{(0,1),(5,1),(21,1),(24,1)}
       3:{1,3,6}:{(0,1),(6,1),(7,1),(15,1),(32,1)}
       4:{1,5}:{(1,1),(8,1),(9,1)}
       5:{2,4}:{(1,1),(2,1),(8,1),(10,1),(17,1)}
       6:{2,6}:{(1,1),(3,1),(9,1),(33,1)}
       7:{1,4,6}:{(2,1),(3,1),(11,1),(12,1),(25,1),(30,1)}
       8:{1,4}:{(4,1),(5,1),(13,1)}
       9:{1,6}:{(4,1),(6,1),(34,1)}
      10:{3}:{(5,1)}
      11:{2,4,6}:{(5,1),(6,1),(7,1),(14,1),(15,1),(16,1),(22,1),(24,1),(29,1)}
      12:{1,5}:{(7,1),(16,1)}
      13:{1,3}:{(8,1),(10,1),(17,1)}
      14:{1,4,6}:{(8,1),(9,1),(11,1),(18,1),(19,1),(27,1)}
      15:{3,6}:{(10,1),(11,1),(20,1),(31,1)}
      16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
      17:{2}:{(13,1),(21,1)}
      18:{1,3,6}:{(13,1),(14,1),(15,1),(22,1),(23,1)}
      19:{1,5}:{(14,1),(16,1)}
      20:{3,5}:{(15,1),(16,1),(24,1)}
      21:{1}:{(17,1)}
      22:{2,6}:{(17,1),(18,1),(25,1),(26,1)}
      23:{1,3,5}:{(18,1),(19,1),(20,1),(26,1),(27,1),(31,1)}
      24:{4}:{(20,1)}
      25:{1,6}:{(21,1),(22,1),(28,1)}
      26:{2,5}:{(22,1),(23,1),(28,1),(29,1)}
      27:{1,4}:{(23,1),(24,1),(29,1),(34,1)}
      28:{1,5}:{(25,1),(26,1),(30,1)}
      29:{2,4}:{(26,1),(27,1),(30,1),(31,1),(33,1)}
      30:{1,4}:{(28,1),(29,1),(32,1)}
      31:{3}:{(29,1)}
      32:{1,3}:{(30,1),(31,1),(33,1)}
      33:{2}:{(32,1),(34,1)}
      34:{1}:{(33,1)}

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

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

199 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(12,1),(17,1),(25,1),(26,1),(33,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(17,1)}
       2:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(18,1),(20,1),(29,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(22,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1),(11,1)}
       5:{1,4,6}:{(1,1),(9,1),(11,1),(32,1)}
       6:{2,3,6}:{(2,1),(12,1),(13,1),(17,1),(28,1),(33,1)}
       7:{1,4,6}:{(2,1),(12,1),(14,1),(25,1)}
       8:{2,5}:{(2,1),(3,1),(14,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(25,1),(35,1)}
      10:{1,5,6}:{(4,1),(14,1),(16,1)}
      11:{2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(28,1)}
      12:{1,3,6}:{(6,1),(7,1),(18,1),(19,1),(32,1)}
      13:{2,3,5}:{(6,1),(8,1),(19,1),(20,1),(22,1),(31,1),(36,1)}
      14:{1,5}:{(7,1),(8,1)}
      15:{2,4,5}:{(8,1),(9,1),(11,1),(20,1),(21,1),(22,1),(29,1),(31,1)}
      16:{1,4,6}:{(10,1),(11,1),(21,1),(23,1)}
      17:{3,6}:{(11,1),(22,1)}
      18:{2,6}:{(12,1),(24,1)}
      19:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1),(33,1),(35,1),(38,1)}
      20:{2,4}:{(13,1),(25,1),(26,1)}
      21:{1,4,5}:{(14,1),(15,1),(16,1),(25,1),(27,1)}
      22:{3,5}:{(15,1),(17,1),(26,1),(33,1)}
      23:{1,3,6}:{(16,1),(17,1),(27,1),(28,1)}
      24:{2,5}:{(18,1),(19,1),(29,1),(39,1)}
      25:{1,4}:{(19,1),(20,1),(29,1)}
      26:{3,4}:{(20,1),(22,1)}
      27:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1)}
      28:{2,6}:{(23,1),(31,1),(32,1)}
      29:{2,4}:{(24,1),(25,1),(33,1)}
      30:{1,3,4}:{(25,1),(26,1),(27,1),(33,1),(34,1),(38,1)}
      31:{2,5}:{(27,1),(28,1),(34,1),(35,1)}
      32:{1,6}:{(28,1),(35,1)}
      33:{3}:{(29,1)}
      34:{2,4}:{(30,1),(31,1),(36,1),(37,1),(39,1)}
      35:{1,5}:{(31,1),(32,1),(37,1)}
      36:{2,3}:{(33,1),(34,1),(38,1)}
      37:{1,4}:{(34,1),(35,1),(38,1)}
      38:{1,3}:{(36,1),(37,1),(39,1)}
      39:{2}:{(38,1)}

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

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

202 :  0:{2,3,4}:{(2,1),(3,1),(25,1),(47,1)}
       1:{3,4,5}:{(5,1),(6,1),(57,1),(74,1)}
       2:{2,3,5}:{(0,1),(6,1),(7,1),(8,1)}
       3:{1,3,4}:{(0,1),(8,1),(9,1),(18,1),(38,1),(42,1)}
       4:{4,5,6}:{(11,1),(78,1)}
       5:{3,4,6}:{(1,1),(11,1),(12,1)}
       6:{2,4,5}:{(1,1),(2,1),(12,1),(13,1),(47,1),(69,1)}
       7:{2,3,6}:{(2,1),(12,1),(14,1)}
       8:{1,3,5}:{(2,1),(3,1),(13,1),(14,1),(15,1),(31,1)}
       9:{2,4}:{(3,1),(15,1),(16,1)}
      10:{1,2,4}:{(9,1),(17,1),(18,1),(36,1),(38,1)}
      11:{3,5,6}:{(4,1),(5,1),(19,1),(74,1)}
      12:{2,4,6}:{(5,1),(6,1),(7,1),(19,1),(20,1)}
      13:{1,4,5}:{(6,1),(8,1),(20,1),(21,1),(38,1),(61,1)}
      14:{1,3,6}:{(7,1),(8,1),(20,1),(22,1),(41,1)}
      15:{2,5}:{(8,1),(9,1),(22,1)}
      16:{2,3}:{(9,1),(18,1)}
      17:{1,2,5}:{(10,1),(15,1),(26,1),(27,1),(48,1)}
      18:{1,3}:{(10,1),(16,1),(25,1)}
      19:{2,5,6}:{(11,1),(12,1),(29,1),(69,1)}
      20:{1,4,6}:{(12,1),(13,1),(14,1),(29,1),(30,1)}
      21:{2,4,5}:{(13,1),(15,1),(30,1),(31,1),(33,1),(55,1),(72,1)}
      22:{2,6}:{(14,1),(15,1)}
      23:{2,3,5}:{(15,1),(16,1),(27,1),(31,1),(32,1),(33,1),(55,1)}
      24:{2,3,4}:{(16,1),(28,1),(33,1),(34,1)}
      25:{2,3}:{(18,1),(36,1)}
      26:{1,2,6}:{(17,1),(22,1),(37,1),(60,1)}
      27:{1,3,5}:{(17,1),(18,1),(23,1),(35,1),(37,1),(38,1),(61,1)}
      28:{1,3,4}:{(18,1),(24,1),(36,1),(38,1),(39,1),(57,1)}
      29:{1,5,6}:{(19,1),(20,1),(40,1),(61,1)}
      30:{2,4,6}:{(20,1),(21,1),(22,1),(40,1),(41,1),(63,1)}
      31:{3,5}:{(21,1),(41,1),(42,1)}
      32:{2,3,6}:{(22,1),(23,1),(37,1),(41,1),(43,1)}
      33:{2,4}:{(23,1),(38,1),(42,1)}
      34:{2,3,5}:{(24,1),(39,1),(44,1),(45,1)}
      35:{2,3,5}:{(25,1),(27,1),(46,1),(47,1),(48,1),(68,1),(69,1)}
      36:{2,4}:{(25,1),(28,1),(48,1)}
      37:{1,3,6}:{(26,1),(27,1),(32,1),(46,1),(49,1)}
      38:{1,4}:{(27,1),(33,1),(47,1)}
      39:{1,3,5}:{(28,1),(34,1),(48,1),(50,1),(51,1),(68,1)}
      40:{2,5,6}:{(29,1),(30,1),(52,1),(55,1)}
      41:{3,6}:{(30,1),(31,1)}
      42:{3,4}:{(31,1),(33,1)}
      43:{2,4,6}:{(32,1),(33,1),(49,1),(53,1),(55,1)}
      44:{2,4,5}:{(33,1),(34,1),(50,1),(54,1),(55,1),(56,1)}
      45:{2,3,6}:{(34,1),(51,1),(56,1)}
      46:{2,3,6}:{(35,1),(37,1),(58,1),(60,1),(75,1)}
      47:{2,4}:{(35,1),(38,1),(57,1)}
      48:{2,5}:{(36,1),(39,1),(60,1)}
      49:{1,4,6}:{(37,1),(38,1),(43,1),(58,1),(61,1)}
      50:{1,4,5}:{(38,1),(39,1),(44,1),(59,1),(61,1),(62,1)}
      51:{1,3,6}:{(39,1),(45,1),(60,1),(62,1),(75,1)}
      52:{3,5,6}:{(40,1),(41,1),(63,1),(64,1)}
      53:{3,4,6}:{(41,1),(42,1),(43,1),(63,1),(64,1)}
      54:{3,4,5}:{(42,1),(44,1),(64,1),(65,1)}
      55:{2,5}:{(43,1),(61,1),(64,1)}
      56:{2,4,6}:{(44,1),(45,1),(62,1),(65,1),(66,1)}
      57:{3,4}:{(47,1),(68,1)}
      58:{2,4,6}:{(46,1),(47,1),(49,1),(67,1),(69,1)}
      59:{2,4,5}:{(47,1),(48,1),(50,1),(68,1),(69,1),(70,1),(78,1)}
      60:{2,6}:{(48,1),(51,1)}
      61:{1,5}:{(49,1),(55,1),(69,1)}
      62:{1,4,6}:{(50,1),(51,1),(56,1),(70,1),(71,1)}
      63:{4,6}:{(52,1),(72,1)}
      64:{3,5}:{(53,1),(55,1),(72,1)}
      65:{3,4,6}:{(54,1),(56,1),(73,1)}
      66:{2,5,6}:{(55,1),(56,1),(71,1),(73,1)}
      67:{3,4,6}:{(57,1),(58,1),(74,1),(75,1),(80,1)}
      68:{3,5}:{(57,1),(59,1),(75,1)}
      69:{2,5}:{(58,1),(61,1),(74,1)}
      70:{2,4,6}:{(59,1),(60,1),(62,1),(75,1),(76,1),(80,1)}
      71:{1,5,6}:{(61,1),(62,1),(66,1),(76,1)}
      72:{4,5}:{(63,1),(64,1)}
      73:{3,5,6}:{(64,1),(65,1),(66,1),(77,1)}
      74:{3,5}:{(67,1),(69,1),(78,1)}
      75:{3,6}:{(68,1),(70,1)}
      76:{2,5,6}:{(69,1),(70,1),(71,1),(79,1)}
      77:{4,5,6}:{(72,1),(73,1)}
      78:{4,5}:{(74,1),(80,1)}
      79:{3,5,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

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

204 :  0:{4,5,6}:{(1,1),(78,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1),(75,1)}
       2:{3,4,5}:{(3,1),(5,1),(66,1),(75,1)}
       3:{3,4,6}:{(1,1),(2,1),(7,1)}
       4:{2,5,6}:{(1,1),(7,1),(8,1),(71,1)}
       5:{2,4,5}:{(2,1),(7,1),(9,1),(10,1),(58,1),(71,1)}
       6:{2,3,4}:{(9,1),(11,1),(40,1),(58,1)}
       7:{2,4,6}:{(3,1),(4,1),(5,1),(12,1),(13,1)}
       8:{1,5,6}:{(4,1),(13,1),(14,1),(64,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1),(15,1)}
      10:{1,4,5}:{(5,1),(13,1),(15,1),(16,1),(48,1),(64,1)}
      11:{1,3,4}:{(6,1),(15,1),(17,1),(30,1),(31,1),(48,1)}
      12:{2,3,6}:{(7,1),(9,1),(18,1)}
      13:{1,4,6}:{(7,1),(8,1),(10,1),(18,1),(19,1)}
      14:{2,5,6}:{(8,1),(19,1),(20,1),(56,1)}
      15:{1,3,5}:{(9,1),(10,1),(11,1),(18,1),(21,1),(22,1)}
      16:{2,4,5}:{(10,1),(19,1),(21,1),(22,1),(36,1),(38,1),(56,1)}
      17:{2,4}:{(11,1),(21,1),(24,1)}
      18:{1,3,6}:{(12,1),(13,1),(15,1),(25,1),(26,1)}
      19:{2,4,6}:{(13,1),(14,1),(16,1),(25,1),(26,1),(27,1)}
      20:{3,5,6}:{(14,1),(26,1),(27,1),(45,1)}
      21:{2,5}:{(15,1),(17,1),(25,1)}
      22:{3,5}:{(16,1),(26,1),(30,1)}
      23:{1,2,4}:{(17,1),(28,1),(31,1),(48,1),(51,1)}
      24:{2,3}:{(17,1),(31,1)}
      25:{2,6}:{(18,1),(21,1)}
      26:{3,6}:{(19,1),(22,1)}
      27:{4,6}:{(20,1),(36,1)}
      28:{1,2,5}:{(21,1),(23,1),(33,1),(37,1),(61,1)}
      29:{2,3,5}:{(21,1),(22,1),(24,1),(34,1),(37,1),(38,1),(56,1)}
      30:{3,4}:{(22,1),(38,1)}
      31:{1,3}:{(23,1),(24,1),(40,1)}
      32:{2,3,4}:{(24,1),(38,1),(41,1),(42,1)}
      33:{1,2,6}:{(25,1),(28,1),(43,1),(69,1)}
      34:{2,3,6}:{(25,1),(26,1),(29,1),(43,1),(44,1)}
      35:{3,4,6}:{(26,1),(27,1),(30,1),(44,1),(45,1)}
      36:{4,5}:{(27,1),(45,1)}
      37:{1,3,5}:{(28,1),(29,1),(31,1),(43,1),(47,1),(48,1),(64,1)}
      38:{2,4}:{(29,1),(30,1),(48,1)}
      39:{3,4,5}:{(30,1),(45,1),(49,1),(50,1)}
      40:{2,3}:{(31,1),(51,1)}
      41:{1,3,4}:{(31,1),(32,1),(48,1),(51,1),(52,1),(66,1)}
      42:{2,3,5}:{(32,1),(49,1),(52,1),(53,1)}
      43:{1,3,6}:{(33,1),(34,1),(37,1),(54,1),(55,1)}
      44:{2,4,6}:{(34,1),(35,1),(38,1),(55,1),(56,1)}
      45:{3,5}:{(35,1),(36,1),(56,1)}
      46:{4,5,6}:{(36,1),(57,1)}
      47:{2,3,5}:{(37,1),(40,1),(54,1),(58,1),(61,1),(71,1),(73,1)}
      48:{1,4}:{(37,1),(38,1),(58,1)}
      49:{2,4,5}:{(38,1),(39,1),(42,1),(56,1),(59,1),(60,1)}
      50:{3,4,6}:{(39,1),(57,1),(60,1)}
      51:{2,4}:{(40,1),(41,1),(61,1)}
      52:{1,3,5}:{(41,1),(42,1),(59,1),(61,1),(62,1),(73,1)}
      53:{2,3,6}:{(42,1),(60,1),(62,1)}
      54:{2,3,6}:{(43,1),(47,1),(63,1),(69,1),(77,1)}
      55:{1,4,6}:{(43,1),(44,1),(48,1),(63,1),(64,1)}
      56:{2,5}:{(44,1),(45,1),(64,1)}
      57:{3,5,6}:{(45,1),(46,1),(50,1),(65,1)}
      58:{2,4}:{(47,1),(48,1),(66,1)}
      59:{1,4,5}:{(48,1),(49,1),(52,1),(64,1),(67,1),(68,1)}
      60:{2,4,6}:{(49,1),(50,1),(53,1),(65,1),(68,1)}
      61:{2,5}:{(51,1),(52,1),(69,1)}
      62:{1,3,6}:{(52,1),(53,1),(68,1),(69,1),(77,1)}
      63:{2,4,6}:{(54,1),(55,1),(58,1),(70,1),(71,1)}
      64:{1,5}:{(55,1),(56,1),(71,1)}
      65:{2,5,6}:{(56,1),(57,1),(60,1),(72,1)}
      66:{3,4}:{(58,1),(73,1)}
      67:{2,4,5}:{(58,1),(59,1),(61,1),(71,1),(73,1),(74,1),(78,1)}
      68:{1,4,6}:{(59,1),(60,1),(62,1),(72,1),(74,1)}
      69:{2,6}:{(61,1),(62,1)}
      70:{3,4,6}:{(63,1),(66,1),(75,1),(77,1),(80,1)}
      71:{2,5}:{(63,1),(64,1),(75,1)}
      72:{1,5,6}:{(64,1),(65,1),(68,1),(76,1)}
      73:{3,5}:{(66,1),(67,1),(77,1)}
      74:{2,4,6}:{(67,1),(68,1),(69,1),(76,1),(77,1),(80,1)}
      75:{3,5}:{(70,1),(71,1),(78,1)}
      76:{2,5,6}:{(71,1),(72,1),(74,1),(79,1)}
      77:{3,6}:{(73,1),(74,1)}
      78:{4,5}:{(75,1),(80,1)}
      79:{3,5,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

205 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(4,1),(5,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(3,1),(5,1),(6,1)}
       3:{2,4,5}:{(2,1),(7,1),(8,1),(16,1),(28,1)}
       4:{2,5,6}:{(1,1),(9,1),(16,1),(25,1)}
       5:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       6:{3,4,6}:{(2,1),(8,1)}
       7:{1,4,5}:{(3,1),(5,1),(11,1),(12,1),(21,1),(26,1)}
       8:{3,5}:{(3,1),(6,1),(29,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1),(19,1),(22,1),(26,1),(29,1)}
      11:{2,4,5}:{(7,1),(9,1),(15,1),(16,1),(23,1)}
      12:{1,3,5}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
      13:{3,6}:{(9,1),(15,1)}
      14:{2,4,6}:{(10,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(13,1),(19,1)}
      16:{2,5}:{(12,1),(14,1),(21,1)}
      17:{2,3,6}:{(13,1),(14,1),(20,1),(22,1),(29,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,5}:{(16,1),(18,1)}
      22:{1,3,6}:{(17,1),(18,1),(24,1),(25,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(22,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

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

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

208 :  0:{2,3,5,6}:{(1,1),(2,1),(10,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2,5,6}:{(1,1),(7,1),(17,1),(25,1)}
       4:{1,4,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{2,4,5}:{(2,1),(8,1),(10,1),(17,1),(28,1)}
       6:{3,4,6}:{(2,1),(10,1)}
       7:{2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,4,5}:{(4,1),(5,1),(11,1),(13,1),(22,1),(26,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(12,1),(13,1),(14,1),(19,1),(21,1),(26,1),(29,1)}
      10:{3,5}:{(5,1),(6,1),(29,1)}
      11:{2,4,5}:{(7,1),(8,1),(15,1),(17,1),(23,1)}
      12:{3,6}:{(7,1),(15,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(15,1),(17,1)}
      14:{2,4,6}:{(9,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(12,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(20,1),(21,1),(29,1)}
      17:{2,5}:{(13,1),(14,1),(22,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(21,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

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

210 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(12,1)}
       1:{1,3,6}:{(0,1),(4,1),(6,1),(44,1)}
       2:{1,2,5}:{(0,1),(6,1),(16,1),(41,1)}
       3:{1,2,6}:{(7,1),(8,1),(42,1)}
       4:{2,3,6}:{(1,1),(7,1),(9,1),(10,1),(37,1),(42,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(25,1),(26,1),(37,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(36,1),(43,1)}
       7:{1,3,6}:{(3,1),(4,1),(13,1),(14,1)}
       8:{1,2,5}:{(3,1),(14,1),(15,1),(39,1)}
       9:{2,4,6}:{(4,1),(5,1),(13,1),(16,1),(17,1)}
      10:{2,3,5}:{(4,1),(6,1),(14,1),(16,1),(17,1),(30,1),(32,1),(39,1)}
      11:{1,3,5}:{(5,1),(16,1),(19,1),(32,1)}
      12:{1,4}:{(6,1),(17,1)}
      13:{1,4,6}:{(7,1),(9,1),(20,1),(21,1)}
      14:{1,3,5}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1)}
      15:{1,2,4}:{(8,1),(21,1),(22,1),(35,1)}
      16:{2,5}:{(9,1),(11,1),(20,1)}
      17:{2,4}:{(10,1),(12,1),(21,1),(25,1)}
      18:{1,3,5,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(43,1)}
      20:{1,5}:{(13,1),(16,1)}
      21:{1,4}:{(14,1),(17,1)}
      22:{1,3}:{(15,1),(30,1)}
      23:{2,5,6}:{(16,1),(18,1),(27,1),(31,1)}
      24:{2,4,5}:{(16,1),(17,1),(19,1),(28,1),(31,1),(32,1),(39,1)}
      25:{3,4}:{(17,1),(32,1)}
      26:{1,4,6}:{(18,1),(19,1),(31,1),(44,1)}
      27:{1,5,6}:{(20,1),(23,1),(33,1)}
      28:{1,4,5}:{(20,1),(21,1),(24,1),(33,1),(34,1)}
      29:{1,3,4}:{(21,1),(22,1),(25,1),(34,1),(35,1)}
      30:{2,3}:{(22,1),(35,1),(36,1)}
      31:{2,4,6}:{(23,1),(24,1),(26,1),(33,1),(37,1),(42,1)}
      32:{3,5}:{(24,1),(25,1),(37,1)}
      33:{1,4,6}:{(27,1),(28,1),(31,1),(38,1)}
      34:{1,3,5}:{(28,1),(29,1),(32,1),(38,1),(39,1)}
      35:{2,4}:{(29,1),(30,1),(39,1),(40,1)}
      36:{1,3}:{(30,1),(40,1),(41,1)}
      37:{3,6}:{(31,1),(32,1)}
      38:{1,3,6}:{(33,1),(34,1),(37,1),(42,1)}
      39:{2,5}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4}:{(35,1),(36,1),(43,1)}
      41:{1,2}:{(36,1)}
      42:{2,6}:{(38,1),(39,1),(44,1)}
      43:{1,5}:{(39,1),(40,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

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

212 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1),(43,1)}
       2:{1,2,5}:{(0,1),(5,1),(13,1),(44,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(24,1),(32,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(9,1),(32,1),(40,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(41,1),(42,1)}
       6:{2,4,6}:{(3,1),(4,1),(12,1),(13,1),(17,1)}
       7:{1,3,5}:{(3,1),(13,1),(14,1),(28,1)}
       8:{1,3,6}:{(4,1),(12,1),(15,1),(16,1)}
       9:{2,3,5}:{(4,1),(5,1),(13,1),(16,1),(17,1),(28,1),(37,1),(38,1)}
      10:{1,4}:{(5,1),(17,1)}
      11:{1,3,5,6}:{(7,1),(18,1),(19,1),(32,1)}
      12:{1,4,6}:{(6,1),(8,1),(20,1),(23,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{1,4,5}:{(7,1),(10,1),(19,1),(21,1),(41,1)}
      15:{1,2,6}:{(8,1),(22,1),(40,1)}
      16:{1,3,5}:{(8,1),(9,1),(20,1),(22,1),(23,1),(34,1)}
      17:{2,4}:{(9,1),(10,1),(23,1),(24,1)}
      18:{2,5,6}:{(11,1),(13,1),(25,1),(26,1)}
      19:{1,4,6}:{(11,1),(14,1),(26,1),(43,1)}
      20:{1,5}:{(12,1),(13,1)}
      21:{2,4,5}:{(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      22:{1,2,5}:{(15,1),(16,1),(29,1),(37,1)}
      23:{1,4}:{(16,1),(17,1)}
      24:{3,4}:{(17,1),(28,1)}
      25:{1,5,6}:{(18,1),(20,1),(31,1)}
      26:{2,4,6}:{(18,1),(19,1),(21,1),(31,1),(32,1),(40,1)}
      27:{1,4,5}:{(20,1),(21,1),(23,1),(31,1),(33,1)}
      28:{3,5}:{(21,1),(24,1),(32,1)}
      29:{1,2,4}:{(22,1),(23,1),(34,1),(35,1)}
      30:{1,3,4}:{(23,1),(24,1),(33,1),(34,1),(35,1)}
      31:{1,4,6}:{(25,1),(26,1),(27,1),(36,1)}
      32:{3,6}:{(26,1),(28,1)}
      33:{1,3,5}:{(27,1),(28,1),(30,1),(36,1),(37,1)}
      34:{1,3}:{(29,1),(38,1)}
      35:{2,4}:{(30,1),(37,1),(38,1),(39,1)}
      36:{1,3,6}:{(31,1),(32,1),(33,1),(40,1)}
      37:{2,5}:{(33,1),(35,1),(40,1),(41,1)}
      38:{2,3}:{(34,1),(35,1),(42,1)}
      39:{1,4}:{(35,1),(41,1),(42,1)}
      40:{2,6}:{(36,1),(37,1),(43,1)}
      41:{1,5}:{(37,1),(39,1),(43,1)}
      42:{1,3}:{(38,1),(39,1),(44,1)}
      43:{1,6}:{(40,1),(41,1)}
      44:{1,2}:{(42,1)}

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

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

215 :  0:{1,2,6}:{(1,1),(2,1),(56,1)}
       1:{1,2,5}:{(0,1),(5,1),(6,1),(37,1),(47,1)}
       2:{1,3,6}:{(0,1),(4,1),(6,1),(7,1),(63,1)}
       3:{1,2,6}:{(8,1),(9,1),(62,1)}
       4:{2,3,6}:{(2,1),(9,1),(10,1),(11,1),(54,1),(56,1),(62,1)}
       5:{1,2,4}:{(1,1),(12,1),(13,1),(34,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(13,1),(14,1),(49,1),(61,1)}
       7:{1,4,6}:{(2,1),(11,1),(13,1),(14,1)}
       8:{1,2,5}:{(3,1),(15,1),(16,1),(21,1),(58,1)}
       9:{1,3,6}:{(3,1),(4,1),(16,1),(17,1),(60,1)}
      10:{2,3,5}:{(4,1),(6,1),(16,1),(19,1),(20,1),(22,1),(38,1),(44,1),(47,1),(58,1)}
      11:{2,4,6}:{(4,1),(7,1),(17,1),(18,1),(19,1),(20,1)}
      12:{1,3}:{(5,1),(22,1)}
      13:{1,4}:{(6,1),(19,1)}
      14:{1,5}:{(7,1),(20,1)}
      15:{1,2,4}:{(8,1),(26,1),(27,1),(50,1)}
      16:{1,3,5}:{(8,1),(9,1),(10,1),(26,1),(27,1),(28,1),(33,1),(55,1)}
      17:{1,4,6}:{(9,1),(11,1),(27,1),(28,1)}
      18:{3,4,6}:{(11,1),(29,1),(30,1),(53,1),(54,1)}
      19:{2,4}:{(10,1),(13,1),(27,1),(30,1)}
      20:{2,5}:{(11,1),(14,1),(28,1),(29,1)}
      21:{1,2}:{(33,1)}
      22:{2,3}:{(12,1),(33,1),(34,1)}
      23:{1,3,4}:{(12,1),(13,1),(30,1),(34,1),(35,1)}
      24:{1,4,5}:{(13,1),(14,1),(31,1),(35,1),(36,1),(61,1)}
      25:{1,5,6}:{(14,1),(32,1),(36,1)}
      26:{1,3}:{(15,1),(38,1)}
      27:{1,4}:{(16,1),(19,1)}
      28:{1,5}:{(17,1),(20,1)}
      29:{3,5}:{(18,1),(20,1),(42,1)}
      30:{3,4}:{(19,1),(44,1)}
      31:{2,4,5}:{(19,1),(20,1),(24,1),(40,1),(42,1),(44,1),(45,1),(47,1),(58,1)}
      32:{2,5,6}:{(20,1),(25,1),(41,1),(43,1),(45,1)}
      33:{1,3}:{(21,1),(22,1),(46,1)}
      34:{2,4}:{(22,1),(23,1),(46,1),(47,1)}
      35:{1,3,5}:{(23,1),(24,1),(44,1),(47,1),(48,1)}
      36:{1,4,6}:{(24,1),(25,1),(45,1),(48,1),(63,1)}
      37:{1,2}:{(49,1)}
      38:{2,3}:{(26,1),(49,1),(50,1)}
      39:{1,3,4}:{(26,1),(27,1),(30,1),(50,1),(51,1)}
      40:{1,4,5}:{(27,1),(28,1),(31,1),(51,1),(52,1),(55,1)}
      41:{1,5,6}:{(28,1),(32,1),(52,1)}
      42:{4,5}:{(29,1),(53,1)}
      43:{3,5,6}:{(29,1),(32,1),(53,1),(54,1)}
      44:{3,5}:{(30,1),(31,1),(54,1)}
      45:{2,4,6}:{(31,1),(32,1),(36,1),(52,1),(53,1),(54,1),(56,1),(62,1)}
      46:{1,4}:{(33,1),(34,1),(55,1)}
      47:{2,5}:{(34,1),(35,1),(55,1),(56,1)}
      48:{1,3,6}:{(35,1),(36,1),(54,1),(56,1)}
      49:{1,3}:{(37,1),(38,1),(57,1)}
      50:{2,4}:{(38,1),(39,1),(57,1),(58,1)}
      51:{1,3,5}:{(39,1),(40,1),(44,1),(58,1),(59,1)}
      52:{1,4,6}:{(40,1),(41,1),(45,1),(59,1),(60,1)}
      53:{4,6}:{(42,1),(43,1)}
      54:{3,6}:{(44,1),(45,1)}
      55:{1,5}:{(46,1),(47,1),(60,1)}
      56:{2,6}:{(47,1),(48,1),(60,1)}
      57:{1,4}:{(49,1),(50,1),(61,1)}
      58:{2,5}:{(50,1),(51,1),(61,1),(62,1)}
      59:{1,3,6}:{(51,1),(52,1),(54,1),(62,1)}
      60:{1,6}:{(55,1),(56,1)}
      61:{1,5}:{(57,1),(58,1),(63,1)}
      62:{2,6}:{(58,1),(59,1),(63,1)}
      63:{1,6}:{(61,1),(62,1)}

216 :  0:{1,3,4,6}:{(1,1),(2,1),(8,1),(13,1),(22,1),(23,1),(26,1),(31,1)}
       1:{2,4,6}:{(0,1),(3,1),(4,1),(5,1),(14,1),(16,1),(27,1)}
       2:{1,3,5}:{(0,1),(5,1),(7,1),(20,1)}
       3:{2,3,6}:{(1,1),(8,1),(9,1),(26,1),(31,1),(33,1)}
       4:{1,4,6}:{(1,1),(8,1),(10,1),(22,1)}
       5:{2,5}:{(1,1),(2,1),(10,1)}
       6:{1,3,5,6}:{(2,1),(11,1),(13,1),(26,1)}
       7:{1,4,5}:{(2,1),(12,1),(13,1),(22,1),(34,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1),(37,1)}
       9:{2,3,5}:{(3,1),(5,1),(15,1),(16,1),(20,1),(30,1),(35,1)}
      10:{1,5}:{(4,1),(5,1)}
      11:{2,5,6}:{(5,1),(6,1),(17,1),(19,1)}
      12:{2,4,5}:{(5,1),(7,1),(16,1),(18,1),(19,1),(20,1),(27,1),(30,1)}
      13:{1,4,6}:{(6,1),(7,1),(19,1),(37,1)}
      14:{2,6}:{(8,1),(21,1)}
      15:{1,3,5}:{(8,1),(9,1),(10,1),(21,1),(22,1),(31,1),(34,1),(38,1)}
      16:{2,4}:{(9,1),(22,1),(23,1)}
      17:{1,5,6}:{(10,1),(11,1),(24,1)}
      18:{1,4,5}:{(10,1),(12,1),(22,1),(24,1),(25,1)}
      19:{2,4,6}:{(11,1),(12,1),(13,1),(24,1),(26,1),(33,1)}
      20:{3,5}:{(12,1),(23,1),(26,1),(31,1)}
      21:{2,5}:{(14,1),(15,1),(27,1),(39,1)}
      22:{1,4}:{(15,1),(16,1),(27,1)}
      23:{3,4}:{(16,1),(20,1)}
      24:{1,4,6}:{(17,1),(18,1),(19,1),(29,1)}
      25:{1,3,5}:{(18,1),(20,1),(28,1),(29,1),(30,1)}
      26:{3,6}:{(19,1),(20,1)}
      27:{2,4}:{(21,1),(22,1),(31,1)}
      28:{1,3,4}:{(22,1),(23,1),(25,1),(31,1),(32,1),(38,1)}
      29:{1,3,6}:{(24,1),(25,1),(26,1),(33,1)}
      30:{2,5}:{(25,1),(32,1),(33,1),(34,1)}
      31:{3}:{(27,1)}
      32:{2,4}:{(28,1),(30,1),(35,1),(36,1),(39,1)}
      33:{2,6}:{(29,1),(30,1),(37,1)}
      34:{1,5}:{(30,1),(36,1),(37,1)}
      35:{2,3}:{(31,1),(32,1),(38,1)}
      36:{1,4}:{(32,1),(34,1),(38,1)}
      37:{1,6}:{(33,1),(34,1)}
      38:{1,3}:{(35,1),(36,1),(39,1)}
      39:{2}:{(38,1)}

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

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

219 :  0:{3,4,5}:{(1,1),(2,1),(62,1),(76,1)}
       1:{2,4,5}:{(0,1),(4,1),(5,1),(6,1),(52,1),(73,1)}
       2:{3,4,6}:{(0,1),(6,1),(7,1)}
       3:{2,3,4}:{(4,1),(8,1),(38,1),(52,1)}
       4:{2,3,5}:{(1,1),(3,1),(9,1),(10,1)}
       5:{1,4,5}:{(1,1),(9,1),(11,1),(12,1),(42,1),(66,1)}
       6:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1),(76,1)}
       8:{1,3,4}:{(3,1),(9,1),(15,1),(26,1),(29,1),(42,1)}
       9:{1,3,5}:{(4,1),(5,1),(8,1),(16,1),(17,1),(18,1)}
      10:{2,3,6}:{(4,1),(6,1),(17,1)}
      11:{2,4,5}:{(5,1),(16,1),(18,1),(19,1),(33,1),(57,1),(59,1)}
      12:{1,4,6}:{(5,1),(6,1),(17,1),(19,1),(20,1)}
      13:{2,5,6}:{(6,1),(7,1),(20,1),(73,1)}
      14:{4,5,6}:{(7,1),(79,1)}
      15:{2,4}:{(8,1),(16,1),(22,1)}
      16:{2,5}:{(9,1),(15,1),(25,1)}
      17:{1,3,6}:{(9,1),(10,1),(12,1),(25,1),(27,1)}
      18:{3,5}:{(11,1),(26,1),(27,1)}
      19:{2,4,6}:{(11,1),(12,1),(25,1),(27,1),(28,1),(48,1)}
      20:{1,5,6}:{(12,1),(13,1),(28,1),(66,1)}
      21:{1,2,4}:{(15,1),(23,1),(29,1),(42,1),(49,1)}
      22:{2,3}:{(15,1),(29,1)}
      23:{1,2,5}:{(16,1),(21,1),(31,1),(32,1),(60,1)}
      24:{2,3,5}:{(16,1),(18,1),(22,1),(31,1),(33,1),(34,1),(57,1)}
      25:{2,6}:{(16,1),(17,1)}
      26:{3,4}:{(18,1),(33,1)}
      27:{3,6}:{(18,1),(19,1)}
      28:{2,5,6}:{(19,1),(20,1),(37,1),(57,1)}
      29:{1,3}:{(21,1),(22,1),(38,1)}
      30:{2,3,4}:{(22,1),(33,1),(39,1),(40,1)}
      31:{1,3,5}:{(23,1),(24,1),(29,1),(41,1),(42,1),(43,1),(66,1)}
      32:{1,2,6}:{(23,1),(25,1),(43,1),(69,1)}
      33:{2,4}:{(24,1),(26,1),(42,1)}
      34:{2,3,6}:{(24,1),(25,1),(27,1),(43,1),(45,1)}
      35:{3,4,5}:{(26,1),(44,1),(46,1),(47,1)}
      36:{3,4,6}:{(26,1),(27,1),(45,1),(47,1),(48,1)}
      37:{3,5,6}:{(27,1),(28,1),(47,1),(48,1)}
      38:{2,3}:{(29,1),(49,1)}
      39:{1,3,4}:{(29,1),(30,1),(42,1),(49,1),(50,1),(62,1)}
      40:{2,3,5}:{(30,1),(44,1),(50,1),(51,1)}
      41:{2,3,5}:{(31,1),(38,1),(52,1),(53,1),(60,1),(70,1),(73,1)}
      42:{1,4}:{(31,1),(33,1),(52,1)}
      43:{1,3,6}:{(31,1),(32,1),(34,1),(53,1),(55,1)}
      44:{2,4,5}:{(33,1),(35,1),(40,1),(54,1),(56,1),(57,1)}
      45:{2,4,6}:{(33,1),(34,1),(36,1),(55,1),(57,1)}
      46:{3,4,6}:{(35,1),(56,1),(58,1)}
      47:{3,5}:{(36,1),(57,1),(59,1)}
      48:{4,6}:{(37,1),(59,1)}
      49:{2,4}:{(38,1),(39,1),(60,1)}
      50:{1,3,5}:{(39,1),(40,1),(54,1),(60,1),(61,1),(70,1)}
      51:{2,3,6}:{(40,1),(56,1),(61,1)}
      52:{2,4}:{(41,1),(42,1),(62,1)}
      53:{2,3,6}:{(41,1),(43,1),(64,1),(69,1),(75,1)}
      54:{1,4,5}:{(42,1),(44,1),(50,1),(63,1),(65,1),(66,1)}
      55:{1,4,6}:{(42,1),(43,1),(45,1),(64,1),(66,1)}
      56:{2,4,6}:{(44,1),(46,1),(51,1),(65,1),(67,1)}
      57:{2,5}:{(45,1),(47,1),(66,1)}
      58:{3,5,6}:{(46,1),(47,1),(67,1),(68,1)}
      59:{4,5}:{(47,1),(48,1)}
      60:{2,5}:{(49,1),(50,1),(69,1)}
      61:{1,3,6}:{(50,1),(51,1),(65,1),(69,1),(75,1)}
      62:{3,4}:{(52,1),(70,1)}
      63:{2,4,5}:{(52,1),(54,1),(60,1),(70,1),(72,1),(73,1),(79,1)}
      64:{2,4,6}:{(52,1),(53,1),(55,1),(71,1),(73,1)}
      65:{1,4,6}:{(54,1),(56,1),(61,1),(72,1),(74,1)}
      66:{1,5}:{(55,1),(57,1),(73,1)}
      67:{2,5,6}:{(56,1),(57,1),(58,1),(74,1)}
      68:{4,5,6}:{(58,1),(59,1)}
      69:{2,6}:{(60,1),(61,1)}
      70:{3,5}:{(62,1),(63,1),(75,1)}
      71:{3,4,6}:{(62,1),(64,1),(75,1),(76,1),(80,1)}
      72:{2,4,6}:{(63,1),(65,1),(69,1),(75,1),(77,1),(80,1)}
      73:{2,5}:{(64,1),(66,1),(76,1)}
      74:{1,5,6}:{(65,1),(66,1),(67,1),(77,1)}
      75:{3,6}:{(70,1),(72,1)}
      76:{3,5}:{(71,1),(73,1),(79,1)}
      77:{2,5,6}:{(72,1),(73,1),(74,1),(78,1)}
      78:{3,5,6}:{(75,1),(76,1),(77,1),(80,1)}
      79:{4,5}:{(76,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

220 :  0:{2,3,5,6}:{(1,1),(2,1),(10,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2,5,6}:{(1,1),(7,1),(17,1),(25,1)}
       4:{1,4,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{2,4,5}:{(2,1),(8,1),(10,1),(17,1),(28,1)}
       6:{3,4,6}:{(2,1),(10,1)}
       7:{2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,4,5}:{(4,1),(5,1),(11,1),(13,1),(22,1),(26,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(12,1),(13,1),(14,1),(19,1),(21,1),(26,1),(29,1)}
      10:{3,5}:{(5,1),(6,1),(29,1)}
      11:{2,4,5}:{(7,1),(8,1),(15,1),(17,1),(23,1)}
      12:{3,6}:{(7,1),(15,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(15,1),(17,1)}
      14:{2,4,6}:{(9,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(12,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(20,1),(21,1),(29,1)}
      17:{2,5}:{(13,1),(14,1),(22,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(21,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

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

222 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1),(43,1)}
       2:{1,2,5}:{(0,1),(5,1),(13,1),(44,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(24,1),(32,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(9,1),(32,1),(40,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(41,1),(42,1)}
       6:{2,4,6}:{(3,1),(4,1),(12,1),(13,1),(17,1)}
       7:{1,3,5}:{(3,1),(13,1),(14,1),(28,1)}
       8:{1,3,6}:{(4,1),(12,1),(15,1),(16,1)}
       9:{2,3,5}:{(4,1),(5,1),(13,1),(16,1),(17,1),(28,1),(37,1),(38,1)}
      10:{1,4}:{(5,1),(17,1)}
      11:{1,3,5,6}:{(7,1),(18,1),(19,1),(32,1)}
      12:{1,4,6}:{(6,1),(8,1),(20,1),(23,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{1,4,5}:{(7,1),(10,1),(19,1),(21,1),(41,1)}
      15:{1,2,6}:{(8,1),(22,1),(40,1)}
      16:{1,3,5}:{(8,1),(9,1),(20,1),(22,1),(23,1),(34,1)}
      17:{2,4}:{(9,1),(10,1),(23,1),(24,1)}
      18:{2,5,6}:{(11,1),(13,1),(25,1),(26,1)}
      19:{1,4,6}:{(11,1),(14,1),(26,1),(43,1)}
      20:{1,5}:{(12,1),(13,1)}
      21:{2,4,5}:{(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      22:{1,2,5}:{(15,1),(16,1),(29,1),(37,1)}
      23:{1,4}:{(16,1),(17,1)}
      24:{3,4}:{(17,1),(28,1)}
      25:{1,5,6}:{(18,1),(20,1),(31,1)}
      26:{2,4,6}:{(18,1),(19,1),(21,1),(31,1),(32,1),(40,1)}
      27:{1,4,5}:{(20,1),(21,1),(23,1),(31,1),(33,1)}
      28:{3,5}:{(21,1),(24,1),(32,1)}
      29:{1,2,4}:{(22,1),(23,1),(34,1),(35,1)}
      30:{1,3,4}:{(23,1),(24,1),(33,1),(34,1),(35,1)}
      31:{1,4,6}:{(25,1),(26,1),(27,1),(36,1)}
      32:{3,6}:{(26,1),(28,1)}
      33:{1,3,5}:{(27,1),(28,1),(30,1),(36,1),(37,1)}
      34:{1,3}:{(29,1),(38,1)}
      35:{2,4}:{(30,1),(37,1),(38,1),(39,1)}
      36:{1,3,6}:{(31,1),(32,1),(33,1),(40,1)}
      37:{2,5}:{(33,1),(35,1),(40,1),(41,1)}
      38:{2,3}:{(34,1),(35,1),(42,1)}
      39:{1,4}:{(35,1),(41,1),(42,1)}
      40:{2,6}:{(36,1),(37,1),(43,1)}
      41:{1,5}:{(37,1),(39,1),(43,1)}
      42:{1,3}:{(38,1),(39,1),(44,1)}
      43:{1,6}:{(40,1),(41,1)}
      44:{1,2}:{(42,1)}

223 :   0:{1,2,5,6}:{(2,1),(3,1),(36,1),(40,1),(69,1),(72,1),(77,1),(98,1)}
        1:{2,3,5,6}:{(2,1),(4,1),(15,1),(17,1),(36,1),(98,1),(100,1),(125,1)}
        2:{1,3,5,6}:{(0,1),(1,1),(5,1),(6,1),(8,1),(22,1),(26,1),(53,1),(90,1)}
        3:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(23,1),(86,1),(93,1),(112,1),(116,1)}
        4:{2,4,6}:{(1,1),(6,1),(9,1),(10,1),(115,1)}
        5:{2,3,5,6}:{(2,1),(11,1),(15,1),(32,1),(36,1),(77,1),(79,1),(109,1)}
        6:{1,4,6}:{(2,1),(4,1),(11,1),(12,1),(106,1)}
        7:{1,2,4,5}:{(3,1),(12,1),(14,1),(36,1),(38,1),(71,1),(72,1),(78,1),(99,1),(104,1),(106,1),(107,1)}
        8:{1,3,6}:{(3,1),(14,1),(15,1),(109,1),(125,1)}
        9:{2,4,5}:{(4,1),(12,1),(17,1),(36,1)}
       10:{3,4,6}:{(4,1),(17,1),(125,1),(127,1)}
       11:{2,4,6}:{(5,1),(6,1),(19,1),(20,1),(96,1)}
       12:{1,4,5}:{(6,1),(9,1),(19,1),(22,1),(53,1)}
       13:{1,3,4,6}:{(6,1),(8,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       14:{1,3,5}:{(7,1),(8,1),(24,1),(25,1),(95,1),(114,1),(122,1)}
       15:{2,3,6}:{(8,1),(23,1),(25,1),(26,1),(116,1)}
       16:{2,4,5,6}:{(9,1),(21,1),(27,1),(51,1),(58,1),(112,1),(136,1)}
       17:{3,5}:{(9,1),(10,1)}
       18:{2,3,4,6}:{(10,1),(23,1),(29,1),(30,1),(55,1),(58,1),(84,1),(85,1),(115,1),(135,1),(138,1)}
       19:{2,4,5}:{(11,1),(12,1),(32,1),(36,1)}
       20:{3,4,6}:{(11,1),(32,1),(109,1),(111,1)}
       21:{1,4,5,6}:{(12,1),(16,1),(31,1),(34,1),(69,1),(76,1),(97,1),(131,1)}
       22:{1,3,5}:{(12,1),(13,1),(17,1),(32,1),(36,1)}
       23:{2,4,6}:{(13,1),(15,1),(36,1),(37,1),(38,1)}
       24:{1,3,4}:{(14,1),(38,1),(106,1),(111,1),(127,1)}
       25:{2,3,5}:{(14,1),(15,1),(36,1),(38,1),(39,1),(104,1),(108,1)}
       26:{1,3,6}:{(15,1),(37,1),(39,1),(40,1)}
       27:{3,5,6}:{(16,1),(17,1),(41,1),(125,1),(141,1)}
       28:{3,4,5}:{(17,1),(41,1),(43,1),(127,1),(141,1)}
       29:{2,3,5}:{(17,1),(18,1),(36,1),(43,1),(44,1),(141,1),(143,1)}
       30:{1,3,4,6}:{(18,1),(37,1),(44,1),(45,1),(73,1),(74,1),(76,1),(101,1),(106,1),(109,1),(111,1),(142,1)}
       31:{2,4,5,6}:{(19,1),(21,1),(46,1),(51,1),(80,1),(93,1),(124,1)}
       32:{3,5}:{(19,1),(20,1)}
       33:{2,3,4,6}:{(20,1),(23,1),(48,1),(49,1),(55,1),(62,1),(80,1),(85,1),(96,1),(123,1),(138,1)}
       34:{1,3,5,6}:{(21,1),(22,1),(27,1),(46,1),(50,1),(51,1),(139,1)}
       35:{1,3,4,5}:{(22,1),(24,1),(28,1),(47,1),(50,1),(52,1),(60,1),(82,1),(88,1),(95,1),(114,1),(121,1),(139,1)}
       36:{2,5}:{(22,1),(23,1),(53,1)}
       37:{1,4,6}:{(23,1),(26,1),(53,1),(56,1)}
       38:{2,4}:{(24,1),(25,1),(56,1)}
       39:{1,3,5}:{(25,1),(26,1),(53,1),(56,1),(57,1),(92,1)}
       40:{1,2,6}:{(26,1),(57,1),(116,1)}
       41:{3,4,6}:{(27,1),(28,1),(58,1)}
       42:{2,3,5,6}:{(27,1),(29,1),(51,1),(58,1),(59,1),(85,1)}
       43:{2,4,5}:{(28,1),(29,1),(58,1),(60,1),(115,1)}
       44:{1,3,5}:{(29,1),(30,1),(53,1),(60,1),(61,1),(95,1),(144,1)}
       45:{2,4,6}:{(30,1),(61,1),(62,1),(91,1),(96,1),(116,1)}
       46:{3,5,6}:{(31,1),(32,1),(63,1),(109,1),(134,1)}
       47:{3,4,5}:{(32,1),(63,1),(65,1),(111,1),(134,1)}
       48:{2,3,5}:{(32,1),(33,1),(36,1),(65,1),(66,1),(134,1),(143,1)}
       49:{1,3,4,6}:{(33,1),(37,1),(66,1),(67,1),(73,1),(74,1),(97,1),(101,1),(106,1),(125,1),(127,1),(142,1)}
       50:{1,3,4,6}:{(34,1),(35,1),(41,1),(63,1),(68,1),(76,1),(97,1),(101,1),(109,1),(125,1)}
       51:{2,5,6}:{(34,1),(36,1),(68,1),(69,1),(143,1)}
       52:{2,4,5}:{(35,1),(36,1),(38,1),(68,1),(70,1),(71,1),(104,1),(133,1),(143,1)}
       53:{1,5}:{(36,1),(37,1)}
       54:{1,2,4,6}:{(37,1),(40,1),(45,1),(67,1),(72,1),(73,1),(75,1),(106,1),(107,1),(128,1),(142,1)}
       55:{2,3,4}:{(38,1),(70,1),(74,1),(108,1),(111,1),(127,1),(133,1)}
       56:{1,4}:{(38,1),(39,1)}
       57:{1,2,5}:{(39,1),(40,1),(75,1),(104,1)}
       58:{2,4,6}:{(41,1),(42,1),(43,1),(76,1)}
       59:{1,3,5,6}:{(42,1),(44,1),(69,1),(76,1),(77,1),(101,1),(109,1)}
       60:{1,4,5}:{(43,1),(44,1),(76,1),(78,1),(106,1)}
       61:{2,5}:{(44,1),(45,1)}
       62:{2,3,6}:{(45,1),(73,1),(79,1),(108,1),(109,1)}
       63:{3,4,6}:{(46,1),(47,1),(80,1)}
       64:{2,3,5,6}:{(46,1),(48,1),(51,1),(80,1),(81,1),(85,1)}
       65:{2,4,5}:{(47,1),(48,1),(80,1),(82,1),(96,1)}
       66:{1,3,5}:{(48,1),(49,1),(53,1),(82,1),(83,1),(114,1),(144,1)}
       67:{2,4,6}:{(49,1),(83,1),(84,1),(91,1),(115,1),(116,1)}
       68:{2,4,6}:{(50,1),(51,1),(52,1),(85,1),(86,1),(116,1)}
       69:{1,5,6}:{(51,1),(53,1),(86,1),(144,1)}
       70:{2,3,5}:{(52,1),(55,1),(85,1),(88,1),(95,1),(114,1)}
       71:{1,4,5}:{(52,1),(53,1),(56,1),(86,1),(88,1),(140,1),(144,1)}
       72:{1,2,5}:{(53,1),(54,1),(61,1),(83,1),(90,1),(144,1)}
       73:{1,3,6}:{(54,1),(62,1),(84,1),(90,1),(92,1),(122,1)}
       74:{1,3,4}:{(55,1),(56,1),(88,1),(91,1),(92,1),(122,1),(140,1)}
       75:{1,2,4}:{(56,1),(57,1),(91,1),(92,1)}
       76:{1,4,6}:{(58,1),(59,1),(60,1),(93,1)}
       77:{2,5,6}:{(59,1),(61,1),(93,1),(116,1)}
       78:{2,4,5}:{(60,1),(61,1),(93,1),(95,1),(96,1)}
       79:{2,3,5}:{(61,1),(62,1),(90,1),(95,1),(96,1)}
       80:{2,4,6}:{(63,1),(64,1),(65,1),(97,1)}
       81:{1,3,5,6}:{(64,1),(66,1),(69,1),(97,1),(98,1),(101,1),(125,1)}
       82:{1,4,5}:{(65,1),(66,1),(97,1),(99,1),(106,1)}
       83:{2,5}:{(66,1),(67,1)}
       84:{2,3,6}:{(67,1),(73,1),(100,1),(108,1),(125,1)}
       85:{2,3,6}:{(68,1),(70,1),(101,1),(109,1),(125,1)}
       86:{1,4,6}:{(68,1),(69,1),(71,1),(101,1)}
       87:{1,2,5,6}:{(69,1),(72,1),(77,1),(98,1),(102,1),(103,1),(128,1),(143,1)}
       88:{1,3,5}:{(70,1),(71,1),(74,1),(101,1),(104,1)}
       89:{1,2,4,5}:{(71,1),(72,1),(75,1),(78,1),(99,1),(102,1),(104,1),(105,1),(106,1),(131,1),(133,1),(143,1)}
       90:{1,3,5}:{(72,1),(73,1),(79,1),(100,1),(106,1)}
       91:{2,4}:{(74,1),(104,1),(108,1)}
       92:{1,3}:{(75,1),(108,1)}
       93:{2,4,6}:{(76,1),(77,1),(78,1),(109,1)}
       94:{2,3,5,6}:{(77,1),(79,1),(103,1),(109,1),(110,1),(129,1),(134,1),(143,1)}
       95:{3,5}:{(78,1),(109,1),(111,1)}
       96:{2,4}:{(79,1),(106,1),(111,1)}
       97:{1,4,6}:{(80,1),(81,1),(82,1),(112,1)}
       98:{2,5,6}:{(81,1),(83,1),(112,1),(116,1)}
       99:{2,4,5}:{(82,1),(83,1),(112,1),(114,1),(115,1)}
      100:{2,3,5}:{(83,1),(84,1),(90,1),(114,1),(115,1)}
      101:{1,3,6}:{(85,1),(86,1),(88,1),(116,1)}
      102:{1,2,4,6}:{(86,1),(87,1),(89,1),(93,1),(112,1),(116,1),(117,1),(118,1),(138,1)}
      103:{1,3,5,6}:{(87,1),(90,1),(94,1),(113,1),(117,1),(118,1),(137,1),(139,1),(144,1)}
      104:{2,5}:{(88,1),(91,1),(116,1)}
      105:{1,3,5}:{(89,1),(92,1),(95,1),(114,1),(117,1),(120,1),(121,1)}
      106:{1,4}:{(90,1),(96,1),(115,1)}
      107:{1,2,4}:{(91,1),(119,1),(122,1),(140,1)}
      108:{2,3}:{(91,1),(92,1),(122,1)}
      109:{3,6}:{(93,1),(95,1)}
      110:{2,4,6}:{(94,1),(96,1),(118,1),(123,1),(124,1)}
      111:{3,4}:{(95,1),(96,1)}
      112:{2,4,6}:{(97,1),(98,1),(99,1),(125,1)}
      113:{2,3,5,6}:{(98,1),(100,1),(103,1),(125,1),(126,1),(129,1),(141,1),(143,1)}
      114:{3,5}:{(99,1),(125,1),(127,1)}
      115:{2,4}:{(100,1),(106,1),(127,1)}
      116:{2,6}:{(101,1),(104,1)}
      117:{1,3,6}:{(102,1),(105,1),(109,1),(125,1),(129,1)}
      118:{1,4,6}:{(103,1),(106,1),(110,1),(126,1),(131,1)}
      119:{1,2,5}:{(104,1),(107,1),(128,1),(132,1)}
      120:{2,3,5}:{(104,1),(105,1),(108,1),(129,1),(132,1),(133,1),(143,1)}
      121:{1,3,4}:{(105,1),(106,1),(111,1),(127,1),(133,1)}
      122:{1,3}:{(107,1),(108,1)}
      123:{3,4,6}:{(109,1),(110,1),(111,1),(134,1)}
      124:{2,4,5}:{(110,1),(131,1),(134,1),(143,1)}
      125:{3,6}:{(112,1),(114,1)}
      126:{2,4,6}:{(113,1),(115,1),(118,1),(135,1),(136,1)}
      127:{3,4}:{(114,1),(115,1)}
      128:{1,2,6}:{(116,1),(119,1),(137,1)}
      129:{2,3,6}:{(116,1),(117,1),(120,1),(137,1),(138,1)}
      130:{1,3,4,6}:{(117,1),(118,1),(121,1),(123,1),(135,1),(138,1),(139,1)}
      131:{1,4,5}:{(118,1),(124,1),(136,1),(139,1),(144,1)}
      132:{1,3,5}:{(119,1),(120,1),(122,1),(137,1),(140,1),(144,1)}
      133:{2,4}:{(120,1),(121,1),(140,1)}
      134:{3,5}:{(123,1),(124,1)}
      135:{3,4,6}:{(125,1),(126,1),(127,1),(141,1)}
      136:{2,4,5}:{(126,1),(131,1),(141,1),(143,1)}
      137:{1,3,6}:{(128,1),(129,1),(132,1),(142,1)}
      138:{2,4,6}:{(129,1),(130,1),(133,1),(142,1),(143,1)}
      139:{1,3,5}:{(130,1),(131,1),(134,1),(141,1),(143,1)}
      140:{1,4}:{(132,1),(133,1)}
      141:{3,5}:{(135,1),(136,1)}
      142:{1,4,6}:{(137,1),(138,1),(140,1),(144,1)}
      143:{2,5}:{(138,1),(139,1),(144,1)}
      144:{1,5}:{(142,1),(143,1)}

224 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(12,1)}
       1:{1,3,6}:{(0,1),(4,1),(6,1),(44,1)}
       2:{1,2,5}:{(0,1),(6,1),(16,1),(41,1)}
       3:{1,2,6}:{(7,1),(8,1),(42,1)}
       4:{2,3,6}:{(1,1),(7,1),(9,1),(10,1),(37,1),(42,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(25,1),(26,1),(37,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(36,1),(43,1)}
       7:{1,3,6}:{(3,1),(4,1),(13,1),(14,1)}
       8:{1,2,5}:{(3,1),(14,1),(15,1),(39,1)}
       9:{2,4,6}:{(4,1),(5,1),(13,1),(16,1),(17,1)}
      10:{2,3,5}:{(4,1),(6,1),(14,1),(16,1),(17,1),(30,1),(32,1),(39,1)}
      11:{1,3,5}:{(5,1),(16,1),(19,1),(32,1)}
      12:{1,4}:{(6,1),(17,1)}
      13:{1,4,6}:{(7,1),(9,1),(20,1),(21,1)}
      14:{1,3,5}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1)}
      15:{1,2,4}:{(8,1),(21,1),(22,1),(35,1)}
      16:{2,5}:{(9,1),(11,1),(20,1)}
      17:{2,4}:{(10,1),(12,1),(21,1),(25,1)}
      18:{1,3,5,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(43,1)}
      20:{1,5}:{(13,1),(16,1)}
      21:{1,4}:{(14,1),(17,1)}
      22:{1,3}:{(15,1),(30,1)}
      23:{2,5,6}:{(16,1),(18,1),(27,1),(31,1)}
      24:{2,4,5}:{(16,1),(17,1),(19,1),(28,1),(31,1),(32,1),(39,1)}
      25:{3,4}:{(17,1),(32,1)}
      26:{1,4,6}:{(18,1),(19,1),(31,1),(44,1)}
      27:{1,5,6}:{(20,1),(23,1),(33,1)}
      28:{1,4,5}:{(20,1),(21,1),(24,1),(33,1),(34,1)}
      29:{1,3,4}:{(21,1),(22,1),(25,1),(34,1),(35,1)}
      30:{2,3}:{(22,1),(35,1),(36,1)}
      31:{2,4,6}:{(23,1),(24,1),(26,1),(33,1),(37,1),(42,1)}
      32:{3,5}:{(24,1),(25,1),(37,1)}
      33:{1,4,6}:{(27,1),(28,1),(31,1),(38,1)}
      34:{1,3,5}:{(28,1),(29,1),(32,1),(38,1),(39,1)}
      35:{2,4}:{(29,1),(30,1),(39,1),(40,1)}
      36:{1,3}:{(30,1),(40,1),(41,1)}
      37:{3,6}:{(31,1),(32,1)}
      38:{1,3,6}:{(33,1),(34,1),(37,1),(42,1)}
      39:{2,5}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4}:{(35,1),(36,1),(43,1)}
      41:{1,2}:{(36,1)}
      42:{2,6}:{(38,1),(39,1),(44,1)}
      43:{1,5}:{(39,1),(40,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

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

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

227 :  0:{1,2,4}:{(1,1),(2,1),(11,1),(12,1)}
       1:{1,2,5}:{(0,1),(5,1),(6,1),(21,1),(35,1)}
       2:{1,3}:{(0,1),(4,1)}
       3:{1,2}:{(9,1)}
       4:{2,3}:{(2,1),(9,1),(11,1)}
       5:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(13,1),(34,1),(46,1),(60,1)}
       6:{1,2,6}:{(1,1),(13,1),(32,1)}
       7:{1,3,4}:{(2,1),(11,1),(12,1),(14,1),(29,1)}
       8:{1,2,5}:{(3,1),(15,1),(16,1),(17,1),(55,1)}
       9:{1,3}:{(3,1),(4,1),(18,1)}
      10:{2,3,5}:{(4,1),(5,1),(16,1),(19,1),(20,1),(21,1),(36,1),(41,1),(44,1),(55,1)}
      11:{2,4}:{(4,1),(7,1),(18,1),(21,1)}
      12:{1,4}:{(5,1),(19,1)}
      13:{1,3,6}:{(5,1),(6,1),(20,1),(23,1),(63,1)}
      14:{1,3,5}:{(7,1),(21,1),(22,1),(24,1),(41,1)}
      15:{1,2,4}:{(8,1),(25,1),(26,1),(47,1)}
      16:{1,3,5}:{(8,1),(9,1),(10,1),(25,1),(26,1),(27,1),(28,1),(50,1)}
      17:{1,2,6}:{(8,1),(27,1),(61,1)}
      18:{1,4}:{(9,1),(11,1),(28,1)}
      19:{2,4}:{(10,1),(12,1),(26,1),(29,1)}
      20:{2,3,6}:{(10,1),(13,1),(27,1),(31,1),(32,1),(51,1),(61,1)}
      21:{2,5}:{(11,1),(14,1),(28,1),(32,1)}
      22:{1,4,5}:{(12,1),(14,1),(30,1),(33,1),(34,1),(60,1)}
      23:{1,4,6}:{(12,1),(13,1),(31,1),(34,1)}
      24:{1,3,6}:{(14,1),(32,1),(33,1),(51,1)}
      25:{1,3}:{(15,1),(36,1)}
      26:{1,4}:{(16,1),(19,1)}
      27:{1,3,6}:{(16,1),(17,1),(20,1),(39,1),(40,1)}
      28:{1,5}:{(18,1),(21,1),(40,1)}
      29:{3,4}:{(19,1),(41,1)}
      30:{2,4,5}:{(19,1),(21,1),(22,1),(38,1),(41,1),(43,1),(44,1),(55,1),(59,1)}
      31:{2,4,6}:{(19,1),(20,1),(23,1),(39,1),(42,1),(44,1)}
      32:{2,6}:{(21,1),(24,1),(40,1)}
      33:{1,4,6}:{(22,1),(24,1),(43,1),(45,1),(63,1)}
      34:{1,5}:{(23,1),(44,1)}
      35:{1,2}:{(46,1)}
      36:{2,3}:{(25,1),(46,1),(47,1)}
      37:{1,3,4}:{(25,1),(26,1),(29,1),(47,1),(48,1)}
      38:{1,4,5}:{(26,1),(28,1),(30,1),(48,1),(49,1),(50,1)}
      39:{1,4,6}:{(26,1),(27,1),(31,1),(50,1)}
      40:{1,6}:{(28,1),(32,1)}
      41:{3,5}:{(29,1),(30,1),(51,1)}
      42:{3,4,6}:{(29,1),(31,1),(51,1),(52,1),(62,1)}
      43:{2,4,6}:{(30,1),(32,1),(33,1),(49,1),(51,1),(53,1),(61,1),(62,1)}
      44:{2,5}:{(31,1),(34,1),(50,1),(52,1)}
      45:{1,5,6}:{(33,1),(34,1),(53,1)}
      46:{1,3}:{(35,1),(36,1),(54,1)}
      47:{2,4}:{(36,1),(37,1),(54,1),(55,1)}
      48:{1,3,5}:{(37,1),(38,1),(41,1),(55,1),(56,1)}
      49:{1,4,6}:{(38,1),(40,1),(43,1),(56,1),(57,1)}
      50:{1,5}:{(39,1),(44,1)}
      51:{3,6}:{(41,1),(43,1)}
      52:{3,5}:{(42,1),(44,1),(59,1)}
      53:{2,5,6}:{(43,1),(44,1),(45,1),(57,1),(58,1)}
      54:{1,4}:{(46,1),(47,1),(60,1)}
      55:{2,5}:{(47,1),(48,1),(60,1),(61,1)}
      56:{1,3,6}:{(48,1),(49,1),(51,1),(61,1)}
      57:{1,5,6}:{(49,1),(50,1),(53,1)}
      58:{3,5,6}:{(51,1),(52,1),(53,1),(62,1)}
      59:{4,5}:{(52,1),(62,1)}
      60:{1,5}:{(54,1),(55,1),(63,1)}
      61:{2,6}:{(55,1),(56,1),(63,1)}
      62:{4,6}:{(58,1),(59,1)}
      63:{1,6}:{(60,1),(61,1)}

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

229 :  0:{1,2,6}:{(2,1),(3,1),(53,1)}
       1:{2,3,6}:{(2,1),(4,1),(5,1),(42,1),(53,1)}
       2:{1,3,6}:{(0,1),(1,1),(6,1),(7,1),(8,1),(55,1)}
       3:{1,2,5}:{(0,1),(8,1),(9,1),(48,1),(50,1)}
       4:{2,4,6}:{(1,1),(7,1),(10,1),(11,1),(12,1)}
       5:{2,3,5}:{(1,1),(8,1),(11,1),(12,1),(28,1),(32,1),(48,1)}
       6:{2,3,6}:{(2,1),(13,1),(14,1),(52,1),(53,1)}
       7:{1,4,6}:{(2,1),(4,1),(13,1),(15,1),(16,1)}
       8:{1,3,5}:{(2,1),(3,1),(5,1),(14,1),(15,1),(16,1),(17,1),(40,1),(54,1)}
       9:{1,2,4}:{(3,1),(16,1),(17,1),(39,1)}
      10:{3,4,6}:{(4,1),(18,1),(21,1),(41,1),(42,1)}
      11:{2,5}:{(4,1),(15,1),(18,1)}
      12:{2,4}:{(5,1),(16,1),(21,1)}
      13:{2,4,6}:{(6,1),(7,1),(22,1),(23,1),(24,1)}
      14:{2,3,5}:{(6,1),(8,1),(23,1),(24,1),(28,1),(46,1),(48,1)}
      15:{1,5}:{(7,1),(11,1),(23,1)}
      16:{1,4}:{(8,1),(12,1),(24,1)}
      17:{1,3}:{(9,1),(28,1)}
      18:{3,5}:{(10,1),(11,1),(30,1)}
      19:{2,5,6}:{(11,1),(25,1),(29,1),(31,1)}
      20:{2,4,5}:{(11,1),(12,1),(26,1),(30,1),(31,1),(32,1),(48,1)}
      21:{3,4}:{(12,1),(32,1)}
      22:{3,4,6}:{(13,1),(33,1),(36,1),(51,1),(52,1)}
      23:{2,5}:{(13,1),(15,1),(33,1)}
      24:{2,4}:{(14,1),(16,1),(36,1)}
      25:{1,5,6}:{(15,1),(19,1),(34,1),(37,1)}
      26:{1,4,5}:{(15,1),(16,1),(20,1),(35,1),(37,1),(38,1),(54,1)}
      27:{1,3,4}:{(16,1),(17,1),(21,1),(36,1),(38,1),(39,1)}
      28:{2,3}:{(17,1),(39,1),(40,1)}
      29:{3,5,6}:{(18,1),(19,1),(41,1),(42,1)}
      30:{4,5}:{(18,1),(41,1)}
      31:{2,4,6}:{(19,1),(20,1),(37,1),(41,1),(42,1),(53,1)}
      32:{3,5}:{(20,1),(21,1),(42,1)}
      33:{3,5}:{(22,1),(23,1),(44,1)}
      34:{2,5,6}:{(23,1),(25,1),(43,1),(45,1)}
      35:{2,4,5}:{(23,1),(24,1),(26,1),(44,1),(45,1),(46,1),(48,1)}
      36:{3,4}:{(24,1),(46,1)}
      37:{1,4,6}:{(25,1),(26,1),(31,1),(45,1),(47,1),(55,1)}
      38:{1,3,5}:{(26,1),(27,1),(32,1),(46,1),(47,1),(48,1)}
      39:{2,4}:{(27,1),(28,1),(48,1),(49,1)}
      40:{1,3}:{(28,1),(49,1),(50,1)}
      41:{4,6}:{(29,1),(30,1)}
      42:{3,6}:{(31,1),(32,1)}
      43:{3,5,6}:{(33,1),(34,1),(51,1),(52,1)}
      44:{4,5}:{(33,1),(51,1)}
      45:{2,4,6}:{(34,1),(35,1),(37,1),(51,1),(52,1),(53,1)}
      46:{3,5}:{(35,1),(36,1),(52,1)}
      47:{1,3,6}:{(37,1),(38,1),(42,1),(52,1),(53,1)}
      48:{2,5}:{(38,1),(39,1),(53,1),(54,1)}
      49:{1,4}:{(39,1),(40,1),(54,1)}
      50:{1,2}:{(40,1)}
      51:{4,6}:{(43,1),(44,1)}
      52:{3,6}:{(45,1),(46,1)}
      53:{2,6}:{(47,1),(48,1),(55,1)}
      54:{1,5}:{(48,1),(49,1),(55,1)}
      55:{1,6}:{(53,1),(54,1)}

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

231 :  0:{2,3,4}:{(1,1),(2,1),(29,1),(56,1)}
       1:{1,3,4}:{(0,1),(4,1),(5,1),(21,1),(49,1),(51,1)}
       2:{2,3,5}:{(0,1),(5,1),(6,1),(7,1)}
       3:{2,3,4}:{(8,1),(9,1),(11,1),(37,1)}
       4:{2,4}:{(1,1),(11,1),(12,1)}
       5:{1,3,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(39,1)}
       6:{2,4,5}:{(2,1),(13,1),(15,1),(16,1),(56,1),(75,1)}
       7:{2,3,6}:{(2,1),(14,1),(16,1)}
       8:{1,3,4}:{(3,1),(17,1),(18,1),(21,1),(49,1),(66,1)}
       9:{2,3,5}:{(3,1),(18,1),(19,1),(20,1)}
      10:{1,2,4}:{(4,1),(17,1),(21,1),(22,1),(49,1)}
      11:{2,3}:{(4,1),(21,1)}
      12:{2,5}:{(4,1),(5,1),(25,1)}
      13:{1,4,5}:{(5,1),(6,1),(24,1),(26,1),(49,1),(71,1)}
      14:{1,3,6}:{(5,1),(7,1),(25,1),(26,1),(53,1)}
      15:{3,4,5}:{(6,1),(27,1),(66,1),(78,1)}
      16:{2,4,6}:{(6,1),(7,1),(26,1),(27,1),(28,1)}
      17:{2,4}:{(8,1),(29,1),(30,1)}
      18:{1,3,5}:{(8,1),(9,1),(30,1),(31,1),(32,1),(58,1)}
      19:{2,4,5}:{(9,1),(31,1),(33,1),(34,1),(37,1),(64,1)}
      20:{2,3,6}:{(9,1),(32,1),(34,1)}
      21:{1,3}:{(10,1),(11,1),(29,1)}
      22:{1,2,5}:{(10,1),(12,1),(30,1),(35,1),(36,1)}
      23:{2,3,5}:{(11,1),(12,1),(35,1),(37,1),(38,1),(39,1),(64,1)}
      24:{2,4,5}:{(12,1),(13,1),(37,1),(39,1),(40,1),(64,1),(77,1)}
      25:{2,6}:{(12,1),(14,1)}
      26:{1,4,6}:{(13,1),(14,1),(16,1),(40,1),(41,1)}
      27:{3,4,6}:{(15,1),(16,1),(42,1)}
      28:{2,5,6}:{(16,1),(41,1),(42,1),(75,1)}
      29:{2,3}:{(17,1),(21,1)}
      30:{2,5}:{(17,1),(18,1),(45,1)}
      31:{1,4,5}:{(18,1),(19,1),(44,1),(46,1),(49,1),(71,1)}
      32:{1,3,6}:{(18,1),(20,1),(45,1),(46,1),(68,1)}
      33:{3,4,5}:{(19,1),(47,1),(51,1),(72,1)}
      34:{2,4,6}:{(19,1),(20,1),(46,1),(47,1),(48,1)}
      35:{1,3,5}:{(21,1),(22,1),(23,1),(43,1),(49,1),(50,1),(71,1)}
      36:{1,2,6}:{(22,1),(25,1),(45,1),(50,1)}
      37:{2,4}:{(23,1),(49,1),(51,1)}
      38:{2,3,6}:{(23,1),(25,1),(50,1),(52,1),(53,1)}
      39:{3,5}:{(24,1),(51,1),(53,1)}
      40:{2,4,6}:{(24,1),(25,1),(26,1),(53,1),(54,1),(73,1)}
      41:{1,5,6}:{(26,1),(28,1),(54,1),(71,1)}
      42:{3,5,6}:{(27,1),(28,1),(55,1),(78,1)}
      43:{2,3,5}:{(29,1),(30,1),(35,1),(56,1),(57,1),(58,1),(75,1)}
      44:{2,4,5}:{(30,1),(31,1),(56,1),(58,1),(59,1),(75,1),(80,1)}
      45:{2,6}:{(30,1),(32,1)}
      46:{1,4,6}:{(31,1),(32,1),(34,1),(59,1),(60,1)}
      47:{3,4,6}:{(33,1),(34,1),(61,1)}
      48:{2,5,6}:{(34,1),(60,1),(61,1),(64,1)}
      49:{1,4}:{(35,1),(37,1),(56,1)}
      50:{1,3,6}:{(35,1),(36,1),(38,1),(57,1),(62,1)}
      51:{3,4}:{(37,1),(39,1)}
      52:{2,4,6}:{(37,1),(38,1),(62,1),(63,1),(64,1)}
      53:{3,6}:{(39,1),(40,1)}
      54:{2,5,6}:{(40,1),(41,1),(64,1),(65,1)}
      55:{4,5,6}:{(42,1),(80,1)}
      56:{2,4}:{(43,1),(49,1),(66,1)}
      57:{2,3,6}:{(43,1),(45,1),(50,1),(67,1),(68,1)}
      58:{3,5}:{(44,1),(66,1),(68,1)}
      59:{2,4,6}:{(44,1),(45,1),(46,1),(68,1),(69,1),(79,1)}
      60:{1,5,6}:{(46,1),(48,1),(69,1),(71,1)}
      61:{3,5,6}:{(47,1),(48,1),(70,1),(72,1)}
      62:{1,4,6}:{(49,1),(50,1),(52,1),(67,1),(71,1)}
      63:{3,4,6}:{(51,1),(52,1),(53,1),(72,1),(73,1)}
      64:{2,5}:{(52,1),(71,1),(72,1)}
      65:{3,5,6}:{(53,1),(54,1),(72,1),(73,1)}
      66:{3,4}:{(56,1),(58,1)}
      67:{2,4,6}:{(56,1),(57,1),(62,1),(74,1),(75,1)}
      68:{3,6}:{(58,1),(59,1)}
      69:{2,5,6}:{(59,1),(60,1),(75,1),(76,1)}
      70:{4,5,6}:{(61,1),(77,1)}
      71:{1,5}:{(62,1),(64,1),(75,1)}
      72:{3,5}:{(63,1),(64,1),(77,1)}
      73:{4,6}:{(65,1),(77,1)}
      74:{3,4,6}:{(66,1),(67,1),(68,1),(78,1),(79,1)}
      75:{2,5}:{(67,1),(71,1),(78,1)}
      76:{3,5,6}:{(68,1),(69,1),(78,1),(79,1)}
      77:{4,5}:{(72,1),(73,1)}
      78:{3,5}:{(74,1),(75,1),(80,1)}
      79:{4,6}:{(76,1),(80,1)}
      80:{4,5}:{(78,1),(79,1)}

232 :   0:{1,3,4,5}:{(1,1),(2,1),(8,1),(31,1),(57,1),(58,1),(68,1),(101,1)}
        1:{2,4,5}:{(0,1),(3,1),(4,1),(5,1),(16,1),(43,1),(85,1)}
        2:{1,3,4,6}:{(0,1),(5,1),(6,1),(17,1),(46,1),(47,1),(87,1)}
        3:{2,3,5}:{(1,1),(7,1),(8,1),(9,1),(101,1)}
        4:{1,4,5}:{(1,1),(8,1),(11,1),(59,1),(104,1)}
        5:{2,4,6}:{(1,1),(2,1),(9,1),(11,1),(12,1),(28,1)}
        6:{1,3,5,6}:{(2,1),(12,1),(13,1),(35,1),(68,1)}
        7:{2,3,4}:{(3,1),(14,1),(43,1),(71,1),(122,1)}
        8:{1,3,5}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
        9:{2,3,6}:{(3,1),(5,1),(17,1),(87,1)}
       10:{1,2,4,5}:{(4,1),(16,1),(19,1),(20,1),(36,1),(43,1),(74,1),(78,1),(80,1),(85,1),(90,1),(113,1),(118,1),(150,1)}
       11:{1,4,6}:{(4,1),(5,1),(17,1),(21,1)}
       12:{2,5,6}:{(5,1),(6,1),(21,1),(85,1)}
       13:{1,4,5,6}:{(6,1),(22,1),(46,1),(90,1),(91,1)}
       14:{1,3,4}:{(7,1),(8,1),(23,1),(52,1),(59,1)}
       15:{2,3,4,6}:{(7,1),(9,1),(24,1),(25,1),(30,1),(63,1),(93,1),(109,1),(110,1),(134,1),(141,1),(145,1)}
       16:{2,5}:{(8,1),(23,1),(28,1)}
       17:{1,3,6}:{(8,1),(9,1),(11,1),(28,1)}
       18:{2,3,5,6}:{(9,1),(12,1),(25,1),(29,1),(30,1),(35,1),(70,1),(110,1)}
       19:{1,3,5}:{(10,1),(27,1),(31,1),(32,1),(52,1),(101,1),(164,1)}
       20:{1,2,4,6}:{(10,1),(11,1),(28,1),(32,1),(33,1),(63,1),(65,1),(69,1),(103,1),(132,1),(163,1)}
       21:{1,5,6}:{(11,1),(12,1),(104,1)}
       22:{2,4,5,6}:{(12,1),(13,1),(30,1),(34,1),(35,1),(65,1),(70,1),(108,1)}
       23:{2,4}:{(14,1),(16,1),(37,1)}
       24:{1,3,4,6}:{(14,1),(15,1),(17,1),(38,1),(39,1),(46,1),(73,1),(81,1),(87,1),(118,1),(122,1),(131,1),(157,1),(161,1)}
       25:{2,3,5}:{(15,1),(39,1),(40,1),(85,1),(130,1),(160,1)}
       26:{1,2,5}:{(16,1),(36,1),(41,1),(42,1),(113,1)}
       27:{2,3,5}:{(16,1),(19,1),(37,1),(41,1),(43,1),(44,1),(71,1),(85,1),(113,1)}
       28:{2,6}:{(16,1),(17,1)}
       29:{1,3,5,6}:{(17,1),(18,1),(21,1),(39,1),(45,1),(46,1),(87,1),(91,1),(131,1)}
       30:{2,4,6}:{(18,1),(40,1),(46,1),(47,1)}
       31:{1,3,4}:{(19,1),(43,1),(118,1),(122,1),(151,1)}
       32:{1,3,6}:{(19,1),(20,1),(44,1),(87,1),(173,1)}
       33:{1,2,5,6}:{(20,1),(21,1),(45,1),(50,1),(74,1),(85,1),(125,1),(149,1),(162,1)}
       34:{1,4,5,6}:{(21,1),(22,1),(46,1),(51,1),(126,1)}
       35:{3,5,6}:{(22,1),(47,1),(87,1),(130,1)}
       36:{1,2,4}:{(23,1),(26,1),(52,1),(59,1),(92,1)}
       37:{2,3}:{(23,1),(52,1)}
       38:{2,4,6}:{(23,1),(24,1),(28,1),(55,1),(56,1),(100,1),(148,1),(170,1)}
       39:{1,3,5}:{(24,1),(25,1),(56,1),(57,1),(101,1),(104,1),(172,1)}
       40:{2,4,5}:{(25,1),(30,1),(57,1),(58,1),(134,1)}
       41:{1,3,5}:{(26,1),(27,1),(52,1),(59,1),(60,1),(104,1)}
       42:{1,2,6}:{(26,1),(28,1),(60,1),(132,1)}
       43:{2,4}:{(27,1),(31,1),(59,1)}
       44:{2,3,6}:{(27,1),(28,1),(32,1),(60,1),(63,1),(132,1)}
       45:{2,5,6}:{(28,1),(29,1),(56,1),(65,1),(148,1)}
       46:{1,4,6}:{(29,1),(30,1),(57,1),(65,1)}
       47:{3,4,6}:{(30,1),(35,1),(58,1)}
       48:{1,3,4,5}:{(31,1),(62,1),(67,1),(68,1),(94,1),(136,1),(140,1),(164,1)}
       49:{1,3,4,6}:{(31,1),(32,1),(63,1),(68,1),(69,1),(109,1)}
       50:{1,3,5,6}:{(32,1),(33,1),(64,1),(68,1),(69,1),(96,1),(146,1),(172,1)}
       51:{1,3,5,6}:{(34,1),(35,1),(66,1),(70,1),(144,1)}
       52:{1,3}:{(36,1),(37,1),(71,1)}
       53:{1,2,4,6}:{(36,1),(38,1),(42,1),(73,1),(74,1),(81,1),(114,1),(118,1),(161,1),(162,1),(178,1)}
       54:{2,3,4}:{(37,1),(43,1),(72,1),(75,1),(151,1)}
       55:{2,3,6}:{(37,1),(38,1),(73,1),(77,1),(87,1),(179,1)}
       56:{2,5}:{(38,1),(39,1)}
       57:{1,4,5}:{(39,1),(40,1),(46,1),(78,1),(118,1)}
       58:{3,4,5}:{(40,1),(47,1),(130,1),(151,1)}
       59:{1,4}:{(41,1),(43,1)}
       60:{1,3,6}:{(41,1),(42,1),(44,1),(81,1)}
       61:{1,2,5,6}:{(42,1),(45,1),(74,1),(82,1),(83,1),(91,1),(149,1),(160,1),(180,1)}
       62:{2,4,5}:{(43,1),(48,1),(75,1),(80,1),(84,1),(85,1),(113,1)}
       63:{2,4,6}:{(43,1),(44,1),(49,1),(81,1),(85,1)}
       64:{2,3,5,6}:{(44,1),(45,1),(50,1),(77,1),(82,1),(85,1),(86,1),(87,1),(115,1),(128,1),(130,1),(149,1),(160,1),(173,1)}
       65:{2,4,6}:{(45,1),(46,1),(78,1),(87,1)}
       66:{1,3,4,6}:{(46,1),(47,1),(51,1),(79,1),(87,1),(88,1),(131,1)}
       67:{1,3,4,6}:{(48,1),(84,1),(89,1),(116,1),(152,1),(156,1),(173,1)}
       68:{1,3,5}:{(49,1),(85,1),(90,1),(130,1)}
       69:{1,4,6}:{(50,1),(86,1),(90,1),(118,1)}
       70:{2,5,6}:{(51,1),(88,1),(91,1),(160,1)}
       71:{2,3}:{(52,1),(92,1)}
       72:{1,3,4}:{(52,1),(54,1),(59,1),(92,1),(94,1)}
       73:{1,3,6}:{(52,1),(53,1),(55,1),(93,1),(96,1),(185,1)}
       74:{1,2,5}:{(53,1),(56,1),(96,1),(104,1),(133,1),(172,1)}
       75:{2,3,5}:{(54,1),(62,1),(94,1),(98,1),(164,1)}
       76:{2,3,4,6}:{(54,1),(55,1),(63,1),(95,1),(98,1),(99,1),(100,1),(109,1),(139,1),(145,1),(165,1),(181,1)}
       77:{2,3,5}:{(55,1),(56,1),(96,1),(100,1),(101,1)}
       78:{2,4,5}:{(56,1),(57,1),(65,1),(100,1),(101,1)}
       79:{1,3,4,5}:{(57,1),(58,1),(66,1),(101,1),(102,1),(137,1),(142,1),(144,1)}
       80:{1,4,5}:{(59,1),(62,1),(94,1),(103,1),(104,1)}
       81:{1,4,6}:{(59,1),(60,1),(63,1),(104,1)}
       82:{1,3,5,6}:{(60,1),(61,1),(64,1),(96,1),(104,1),(105,1),(106,1),(144,1)}
       83:{1,2,4,6}:{(61,1),(65,1),(97,1),(105,1),(106,1),(111,1),(145,1),(148,1),(163,1),(184,1),(189,1)}
       84:{2,4,6}:{(62,1),(67,1),(98,1),(103,1),(107,1),(132,1)}
       85:{2,5}:{(63,1),(68,1),(104,1)}
       86:{2,4,6}:{(64,1),(69,1),(100,1),(105,1),(108,1),(109,1),(134,1)}
       87:{3,6}:{(65,1),(101,1)}
       88:{2,4,6}:{(66,1),(70,1),(102,1),(110,1),(111,1),(148,1)}
       89:{1,3,5,6}:{(67,1),(68,1),(107,1),(112,1),(147,1)}
       90:{1,4,5}:{(68,1),(69,1),(108,1),(172,1)}
       91:{1,5,6}:{(70,1),(111,1),(172,1)}
       92:{2,4}:{(71,1),(72,1),(113,1)}
       93:{2,3,6}:{(71,1),(73,1),(114,1),(115,1),(173,1),(188,1)}
       94:{1,3,5}:{(72,1),(75,1),(80,1),(113,1),(116,1)}
       95:{1,3,4,6}:{(72,1),(73,1),(76,1),(81,1),(114,1),(116,1),(117,1),(118,1),(151,1),(152,1),(161,1),(173,1),(175,1),(186,1)}
       96:{1,3,5}:{(73,1),(74,1),(77,1),(115,1),(118,1)}
       97:{1,2,4,5}:{(74,1),(78,1),(83,1),(118,1),(119,1),(124,1),(126,1),(150,1),(154,1),(158,1),(160,1),(177,1),(178,1),(187,1)}
       98:{2,3,6}:{(75,1),(84,1),(116,1),(173,1)}
       99:{2,3,5}:{(76,1),(85,1),(117,1),(121,1),(130,1),(160,1)}
      100:{2,4}:{(77,1),(118,1),(122,1)}
      101:{3,5}:{(78,1),(87,1),(122,1)}
      102:{2,4,5}:{(79,1),(88,1),(123,1),(124,1),(154,1),(158,1),(160,1)}
      103:{1,4,6}:{(80,1),(84,1),(116,1),(125,1)}
      104:{1,5}:{(81,1),(85,1)}
      105:{1,4,6}:{(82,1),(86,1),(118,1),(126,1)}
      106:{1,3,6}:{(83,1),(87,1),(119,1),(128,1),(173,1)}
      107:{2,5,6}:{(84,1),(85,1),(89,1),(125,1)}
      108:{2,4,5}:{(85,1),(86,1),(90,1),(126,1),(130,1),(160,1)}
      109:{3,4,6}:{(86,1),(87,1),(122,1),(130,1),(151,1),(173,1)}
      110:{2,3,6}:{(87,1),(88,1),(123,1),(131,1)}
      111:{1,4,6}:{(88,1),(91,1),(124,1),(131,1)}
      112:{1,4,5,6}:{(89,1),(90,1),(129,1),(152,1),(180,1)}
      113:{2,5}:{(92,1),(94,1),(132,1)}
      114:{2,4,6}:{(92,1),(93,1),(95,1),(132,1),(133,1),(134,1),(183,1),(189,1)}
      115:{2,3,5}:{(93,1),(96,1),(133,1),(134,1),(164,1)}
      116:{1,3,6}:{(94,1),(98,1),(103,1),(132,1)}
      117:{1,3,5}:{(95,1),(99,1),(104,1),(133,1),(136,1),(164,1),(172,1)}
      118:{1,4}:{(96,1),(100,1),(134,1)}
      119:{1,3,5}:{(97,1),(101,1),(106,1),(137,1),(138,1),(164,1),(185,1)}
      120:{2,3,5,6}:{(98,1),(99,1),(107,1),(135,1),(139,1),(147,1),(171,1),(181,1)}
      121:{2,4,5}:{(99,1),(100,1),(136,1),(139,1),(140,1)}
      122:{3,4}:{(100,1),(101,1)}
      123:{2,3,5}:{(101,1),(102,1),(110,1),(141,1),(142,1)}
      124:{1,4,5}:{(102,1),(111,1),(142,1),(168,1),(172,1)}
      125:{1,5,6}:{(103,1),(104,1),(107,1)}
      126:{1,4,5}:{(104,1),(105,1),(108,1),(144,1)}
      127:{1,3,4,6}:{(105,1),(106,1),(109,1),(137,1),(144,1),(145,1)}
      128:{2,3,6}:{(106,1),(138,1),(145,1),(146,1),(148,1),(189,1)}
      129:{2,4,5,6}:{(107,1),(108,1),(112,1),(139,1),(143,1),(147,1),(163,1),(171,1)}
      130:{3,5}:{(108,1),(109,1)}
      131:{1,3,6}:{(110,1),(111,1),(142,1),(148,1)}
      132:{2,6}:{(113,1),(116,1)}
      133:{2,5}:{(114,1),(117,1)}
      134:{2,4}:{(115,1),(118,1),(151,1)}
      135:{1,3,5,6}:{(116,1),(117,1),(120,1),(125,1),(149,1),(152,1),(173,1),(180,1),(186,1)}
      136:{1,4,5}:{(117,1),(118,1),(121,1),(150,1),(152,1)}
      137:{1,3,4}:{(118,1),(119,1),(122,1),(151,1),(154,1)}
      138:{2,3,5}:{(119,1),(128,1),(154,1),(155,1),(158,1),(160,1),(179,1),(187,1),(188,1)}
      139:{2,4,6}:{(120,1),(121,1),(152,1),(156,1)}
      140:{3,4,5}:{(121,1),(122,1),(130,1),(156,1)}
      141:{2,3,4}:{(122,1),(123,1),(154,1),(157,1),(188,1)}
      142:{1,3,5}:{(123,1),(124,1),(131,1),(157,1),(158,1)}
      143:{1,4,5,6}:{(125,1),(126,1),(129,1),(152,1),(159,1)}
      144:{1,3,5}:{(126,1),(127,1),(130,1),(160,1)}
      145:{2,4,6}:{(127,1),(128,1),(154,1),(160,1),(161,1)}
      146:{1,3,6}:{(128,1),(155,1),(161,1),(162,1)}
      147:{3,5,6}:{(129,1),(130,1),(156,1),(173,1)}
      148:{2,6}:{(131,1),(158,1)}
      149:{2,5,6}:{(132,1),(133,1),(135,1),(163,1),(189,1)}
      150:{2,4,5}:{(133,1),(134,1),(136,1),(163,1),(164,1)}
      151:{3,4}:{(134,1),(164,1)}
      152:{1,4,6}:{(135,1),(136,1),(139,1),(163,1)}
      153:{1,3,4,5}:{(136,1),(137,1),(140,1),(144,1),(164,1),(166,1),(167,1),(182,1)}
      154:{2,4}:{(137,1),(138,1),(168,1)}
      155:{1,3,5}:{(138,1),(146,1),(168,1),(169,1),(172,1),(185,1)}
      156:{3,4,6}:{(139,1),(140,1),(147,1)}
      157:{1,3,4}:{(141,1),(142,1),(168,1),(170,1),(185,1)}
      158:{2,5}:{(142,1),(148,1),(170,1)}
      159:{1,3,5,6}:{(143,1),(144,1),(147,1),(166,1),(171,1)}
      160:{2,5}:{(144,1),(145,1),(172,1)}
      161:{1,4,6}:{(145,1),(146,1),(168,1),(172,1)}
      162:{1,2,6}:{(146,1),(148,1),(169,1),(189,1)}
      163:{2,4,6}:{(149,1),(150,1),(152,1),(173,1)}
      164:{3,5}:{(150,1),(151,1),(173,1)}
      165:{2,3,4}:{(151,1),(154,1),(174,1),(175,1),(179,1)}
      166:{1,3,4,6}:{(152,1),(153,1),(156,1),(159,1),(173,1),(176,1),(186,1)}
      167:{2,4,5}:{(153,1),(154,1),(160,1),(174,1),(176,1),(177,1),(187,1)}
      168:{1,4}:{(154,1),(155,1)}
      169:{1,2,5}:{(155,1),(158,1),(162,1),(178,1),(187,1)}
      170:{2,4}:{(157,1),(158,1),(179,1)}
      171:{2,5,6}:{(159,1),(160,1),(176,1),(180,1)}
      172:{1,5}:{(160,1),(161,1)}
      173:{3,6}:{(163,1),(164,1)}
      174:{2,3,5}:{(164,1),(165,1),(167,1),(181,1),(182,1)}
      175:{1,3,4}:{(165,1),(168,1),(182,1),(183,1),(185,1)}
      176:{2,4,6}:{(166,1),(167,1),(171,1),(181,1),(184,1),(189,1)}
      177:{1,4,5}:{(167,1),(168,1),(172,1),(182,1),(184,1)}
      178:{1,2,4}:{(168,1),(169,1),(170,1),(183,1),(185,1)}
      179:{2,3}:{(170,1),(185,1)}
      180:{1,5,6}:{(171,1),(172,1),(184,1)}
      181:{2,3,6}:{(173,1),(174,1),(176,1),(186,1)}
      182:{1,3,5}:{(174,1),(175,1),(177,1),(186,1),(187,1)}
      183:{2,4}:{(175,1),(187,1),(188,1)}
      184:{1,4,6}:{(176,1),(177,1),(180,1),(186,1)}
      185:{1,3}:{(178,1),(179,1),(188,1)}
      186:{1,3,6}:{(181,1),(182,1),(184,1),(189,1)}
      187:{2,5}:{(182,1),(183,1),(189,1)}
      188:{2,3}:{(183,1),(185,1)}
      189:{2,6}:{(186,1),(187,1)}

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

234 :  0:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(22,1),(24,1),(25,1),(32,1)}
       1:{2,4,6}:{(0,1),(4,1),(5,1),(6,1),(16,1),(18,1),(28,1)}
       2:{1,3,5}:{(0,1),(6,1),(7,1),(20,1)}
       3:{1,3,5,6}:{(2,1),(8,1),(9,1),(22,1)}
       4:{2,3,6}:{(1,1),(10,1),(11,1),(22,1),(31,1),(32,1)}
       5:{1,4,6}:{(1,1),(10,1),(12,1),(24,1)}
       6:{2,5}:{(1,1),(2,1),(12,1)}
       7:{1,4,5}:{(2,1),(9,1),(13,1),(24,1),(34,1)}
       8:{2,5,6}:{(3,1),(6,1),(14,1),(15,1)}
       9:{1,4,6}:{(3,1),(7,1),(15,1),(35,1)}
      10:{1,3,6}:{(4,1),(5,1),(16,1),(17,1),(35,1)}
      11:{2,3,5}:{(4,1),(6,1),(17,1),(18,1),(20,1),(30,1),(36,1)}
      12:{1,5}:{(5,1),(6,1)}
      13:{2,4,5}:{(6,1),(7,1),(15,1),(18,1),(19,1),(20,1),(28,1),(30,1)}
      14:{1,5,6}:{(8,1),(12,1),(21,1)}
      15:{2,4,6}:{(8,1),(9,1),(13,1),(21,1),(22,1),(31,1)}
      16:{2,6}:{(10,1),(23,1)}
      17:{1,3,5}:{(10,1),(11,1),(12,1),(23,1),(24,1),(32,1),(34,1),(38,1)}
      18:{2,4}:{(11,1),(24,1),(25,1)}
      19:{1,4,5}:{(12,1),(13,1),(21,1),(24,1),(26,1)}
      20:{3,5}:{(13,1),(22,1),(25,1),(32,1)}
      21:{1,4,6}:{(14,1),(15,1),(19,1),(27,1)}
      22:{3,6}:{(15,1),(20,1)}
      23:{2,5}:{(16,1),(17,1),(28,1),(39,1)}
      24:{1,4}:{(17,1),(18,1),(28,1)}
      25:{3,4}:{(18,1),(20,1)}
      26:{1,3,5}:{(19,1),(20,1),(27,1),(29,1),(30,1)}
      27:{1,3,6}:{(21,1),(22,1),(26,1),(31,1)}
      28:{2,4}:{(23,1),(24,1),(32,1)}
      29:{1,3,4}:{(24,1),(25,1),(26,1),(32,1),(33,1),(38,1)}
      30:{2,5}:{(26,1),(31,1),(33,1),(34,1)}
      31:{2,6}:{(27,1),(30,1),(35,1)}
      32:{3}:{(28,1)}
      33:{2,4}:{(29,1),(30,1),(36,1),(37,1),(39,1)}
      34:{1,5}:{(30,1),(35,1),(37,1)}
      35:{1,6}:{(31,1),(34,1)}
      36:{2,3}:{(32,1),(33,1),(38,1)}
      37:{1,4}:{(33,1),(34,1),(38,1)}
      38:{1,3}:{(36,1),(37,1),(39,1)}
      39:{2}:{(38,1)}

235 :   0:{2,3,4,6}:{(1,1),(2,1),(9,1),(34,1),(65,1),(71,1),(78,1),(102,1),(105,1)}
        1:{1,3,4,6}:{(0,1),(5,1),(6,1),(18,1),(22,1),(45,1),(53,1),(57,1),(87,1),(99,1),(126,1)}
        2:{2,3,5}:{(0,1),(6,1),(7,1),(122,1),(125,1)}
        3:{2,3,5,6}:{(2,1),(8,1),(9,1),(11,1),(33,1),(65,1)}
        4:{2,4,5,6}:{(9,1),(10,1),(11,1),(33,1),(101,1),(112,1)}
        5:{2,4,6}:{(1,1),(13,1),(14,1),(39,1),(110,1),(120,1)}
        6:{1,3,5}:{(1,1),(2,1),(14,1),(15,1),(40,1),(144,1)}
        7:{2,4,5}:{(2,1),(9,1),(15,1),(16,1),(71,1)}
        8:{1,3,5,6}:{(3,1),(6,1),(17,1),(18,1),(45,1),(49,1),(87,1)}
        9:{2,4,6}:{(3,1),(7,1),(18,1),(19,1)}
       10:{1,4,5,6}:{(4,1),(18,1),(20,1),(21,1),(49,1),(81,1),(89,1)}
       11:{3,5,6}:{(4,1),(19,1),(122,1),(131,1)}
       12:{1,2,4,6}:{(5,1),(22,1),(23,1),(50,1),(53,1),(126,1),(127,1),(137,1)}
       13:{2,3,6}:{(5,1),(22,1),(25,1),(45,1),(138,1)}
       14:{2,5}:{(5,1),(6,1)}
       15:{1,4,5}:{(6,1),(7,1),(18,1),(26,1),(53,1)}
       16:{3,4,5}:{(7,1),(19,1),(93,1),(122,1)}
       17:{2,5,6}:{(8,1),(14,1),(30,1),(110,1)}
       18:{1,4,6}:{(8,1),(9,1),(15,1),(30,1)}
       19:{3,4,6}:{(9,1),(11,1),(16,1)}
       20:{2,4,5,6}:{(10,1),(30,1),(32,1),(33,1),(63,1),(68,1)}
       21:{1,3,5,6}:{(10,1),(11,1),(31,1),(32,1),(33,1),(104,1)}
       22:{1,3,6}:{(12,1),(13,1),(34,1),(36,1),(153,1)}
       23:{1,2,5}:{(12,1),(14,1),(36,1),(70,1),(144,1)}
       24:{2,3,4,6}:{(13,1),(35,1),(38,1),(39,1),(64,1),(76,1),(105,1),(115,1),(149,1)}
       25:{2,3,5}:{(13,1),(14,1),(36,1),(39,1),(40,1)}
       26:{2,4,5}:{(14,1),(15,1),(30,1),(39,1),(40,1)}
       27:{1,3,4,5}:{(15,1),(16,1),(31,1),(40,1),(41,1),(67,1),(74,1),(79,1),(104,1),(111,1),(148,1)}
       28:{1,2,5,6}:{(17,1),(23,1),(42,1),(43,1),(49,1),(90,1),(91,1),(125,1),(127,1),(159,1),(160,1),(177,1)}
       29:{2,3,5,6}:{(17,1),(25,1),(42,1),(44,1),(45,1),(83,1),(85,1),(125,1),(177,1),(178,1),(183,1)}
       30:{2,4,6}:{(17,1),(18,1),(26,1),(45,1)}
       31:{1,3,4,6}:{(18,1),(19,1),(21,1),(27,1),(45,1),(46,1),(47,1),(87,1),(89,1),(131,1)}
       32:{3,5,6}:{(20,1),(45,1),(47,1),(85,1)}
       33:{2,5,6}:{(21,1),(46,1),(49,1),(125,1)}
       34:{2,3,6}:{(22,1),(50,1),(51,1),(132,1),(166,1)}
       35:{1,3,4,6}:{(22,1),(24,1),(50,1),(52,1),(53,1),(93,1),(94,1),(126,1),(132,1),(134,1),(164,1)}
       36:{1,3,5}:{(22,1),(23,1),(25,1),(51,1),(53,1)}
       37:{1,2,4,5}:{(23,1),(26,1),(43,1),(53,1),(54,1),(59,1),(81,1),(92,1),(96,1),(100,1),(125,1),(130,1),(136,1),(137,1),(160,1),(165,1),(176,1),(179,1)}
       38:{2,3,5}:{(24,1),(52,1),(56,1),(85,1),(125,1)}
       39:{2,4}:{(25,1),(53,1),(57,1)}
       40:{3,5}:{(26,1),(45,1),(57,1)}
       41:{2,4,5}:{(27,1),(46,1),(58,1),(59,1),(96,1),(100,1),(125,1)}
       42:{1,3,5,6}:{(28,1),(29,1),(36,1),(60,1),(61,1),(62,1),(104,1),(106,1),(144,1),(172,1)}
       43:{1,2,4,6}:{(28,1),(30,1),(37,1),(61,1),(62,1),(66,1),(105,1),(110,1),(112,1),(113,1),(152,1),(174,1),(180,1)}
       44:{2,4,6}:{(29,1),(39,1),(61,1),(63,1),(64,1),(182,1)}
       45:{3,6}:{(30,1),(40,1)}
       46:{2,4,6}:{(31,1),(33,1),(41,1),(65,1),(66,1),(110,1)}
       47:{3,4,6}:{(32,1),(67,1),(68,1)}
       48:{2,3,5,6}:{(32,1),(33,1),(65,1),(68,1),(69,1),(108,1)}
       49:{1,5,6}:{(33,1),(66,1),(144,1)}
       50:{2,4,6}:{(34,1),(35,1),(70,1),(71,1),(151,1),(174,1)}
       51:{2,3,5}:{(34,1),(36,1),(70,1),(71,1),(114,1)}
       52:{1,3,5}:{(35,1),(38,1),(70,1),(73,1),(114,1),(144,1)}
       53:{1,4}:{(36,1),(39,1),(71,1)}
       54:{1,3,5}:{(37,1),(40,1),(62,1),(74,1),(75,1),(114,1),(148,1),(153,1),(181,1)}
       55:{2,3,5,6}:{(38,1),(72,1),(76,1),(107,1),(143,1),(149,1)}
       56:{2,4,5}:{(38,1),(39,1),(73,1),(76,1),(77,1)}
       57:{3,4}:{(39,1),(40,1)}
       58:{2,3,5}:{(40,1),(41,1),(65,1),(78,1),(79,1),(148,1)}
       59:{1,4,5}:{(41,1),(66,1),(79,1),(118,1),(144,1)}
       60:{2,3,5,6}:{(42,1),(51,1),(80,1),(83,1),(90,1),(91,1),(122,1),(125,1),(131,1),(132,1),(162,1)}
       61:{1,4,6}:{(42,1),(44,1),(53,1),(80,1),(81,1),(179,1)}
       62:{1,3,6}:{(43,1),(45,1),(54,1),(83,1),(131,1),(132,1),(183,1)}
       63:{2,4,5}:{(44,1),(81,1),(85,1),(125,1)}
       64:{3,4,6}:{(44,1),(45,1),(57,1),(85,1),(183,1),(184,1)}
       65:{2,3,6}:{(45,1),(46,1),(58,1),(87,1),(131,1)}
       66:{1,4,6}:{(46,1),(49,1),(59,1),(87,1)}
       67:{3,4,5}:{(47,1),(85,1),(88,1),(184,1)}
       68:{2,4,6}:{(47,1),(48,1),(88,1),(89,1)}
       69:{1,3,5,6}:{(48,1),(49,1),(87,1),(89,1),(90,1),(128,1),(131,1)}
       70:{2,5}:{(50,1),(52,1)}
       71:{2,4}:{(51,1),(53,1),(93,1)}
       72:{1,3,5,6}:{(52,1),(55,1),(91,1),(94,1),(132,1),(159,1),(164,1)}
       73:{1,4,5}:{(52,1),(53,1),(56,1),(92,1),(94,1)}
       74:{1,3,4}:{(53,1),(54,1),(57,1),(93,1),(96,1),(163,1),(179,1),(184,1)}
       75:{2,3,5}:{(54,1),(83,1),(96,1),(97,1),(100,1),(125,1),(138,1),(165,1),(166,1)}
       76:{2,4,6}:{(55,1),(56,1),(94,1),(98,1)}
       77:{3,4,5}:{(56,1),(57,1),(85,1),(98,1)}
       78:{2,3,4}:{(57,1),(58,1),(96,1),(99,1),(163,1),(166,1)}
       79:{1,3,5}:{(58,1),(59,1),(87,1),(99,1),(100,1)}
       80:{2,4,6}:{(60,1),(61,1),(71,1),(101,1),(102,1),(173,1)}
       81:{1,4,5}:{(61,1),(63,1),(101,1),(104,1),(144,1)}
       82:{1,3,4,6}:{(61,1),(62,1),(64,1),(74,1),(102,1),(104,1),(105,1)}
       83:{2,3,6}:{(62,1),(75,1),(105,1),(106,1),(110,1),(174,1)}
       84:{2,4,5,6}:{(63,1),(76,1),(103,1),(107,1),(143,1),(180,1)}
       85:{3,5}:{(63,1),(64,1)}
       86:{2,3,4,6}:{(64,1),(65,1),(68,1),(78,1),(105,1),(108,1),(109,1),(171,1),(182,1)}
       87:{1,3,6}:{(65,1),(66,1),(79,1),(110,1)}
       88:{2,4,5}:{(67,1),(68,1),(108,1),(111,1),(182,1)}
       89:{1,4,6}:{(68,1),(69,1),(111,1),(112,1)}
       90:{2,5,6}:{(69,1),(110,1),(112,1),(146,1)}
       91:{2,5,6}:{(70,1),(72,1),(113,1),(174,1)}
       92:{2,4,5}:{(70,1),(71,1),(73,1),(113,1),(114,1)}
       93:{3,4}:{(71,1),(114,1)}
       94:{1,4,6}:{(72,1),(73,1),(76,1),(113,1)}
       95:{1,3,4,5}:{(73,1),(74,1),(77,1),(104,1),(114,1),(116,1),(117,1),(139,1),(150,1),(168,1),(181,1)}
       96:{2,4}:{(74,1),(75,1),(118,1)}
       97:{1,3,5}:{(75,1),(106,1),(118,1),(119,1),(144,1),(153,1)}
       98:{3,4,6}:{(76,1),(77,1),(107,1)}
       99:{1,3,4}:{(78,1),(79,1),(118,1),(120,1),(153,1)}
      100:{2,5}:{(79,1),(110,1),(120,1)}
      101:{2,4,5}:{(80,1),(81,1),(122,1),(125,1)}
      102:{3,4,6}:{(80,1),(93,1),(122,1),(131,1),(132,1),(163,1)}
      103:{1,4,5,6}:{(81,1),(84,1),(94,1),(121,1),(124,1),(159,1),(175,1)}
      104:{1,3,5}:{(81,1),(82,1),(85,1),(122,1),(125,1)}
      105:{2,4,6}:{(82,1),(83,1),(96,1),(125,1),(126,1)}
      106:{1,3,6}:{(83,1),(97,1),(126,1),(127,1)}
      107:{3,5,6}:{(84,1),(85,1),(98,1),(183,1)}
      108:{2,3,5}:{(85,1),(86,1),(88,1),(125,1),(128,1)}
      109:{1,3,4,6}:{(86,1),(87,1),(89,1),(99,1),(126,1),(128,1),(129,1),(131,1),(161,1),(163,1),(179,1)}
      110:{2,6}:{(87,1),(100,1)}
      111:{1,4,5}:{(88,1),(89,1),(128,1),(130,1),(179,1)}
      112:{2,4,6}:{(89,1),(90,1),(130,1),(131,1)}
      113:{2,4,6}:{(91,1),(92,1),(94,1),(132,1)}
      114:{3,5}:{(92,1),(93,1),(132,1)}
      115:{2,3,4}:{(93,1),(96,1),(133,1),(134,1),(138,1),(184,1)}
      116:{1,3,4,6}:{(94,1),(95,1),(98,1),(124,1),(132,1),(135,1),(154,1),(164,1),(175,1),(183,1)}
      117:{2,4,5}:{(95,1),(96,1),(125,1),(133,1),(135,1),(136,1),(165,1)}
      118:{1,4}:{(96,1),(97,1)}
      119:{1,2,5}:{(97,1),(100,1),(127,1),(137,1),(165,1)}
      120:{2,4}:{(99,1),(100,1),(138,1)}
      121:{2,4,5,6}:{(101,1),(103,1),(113,1),(140,1),(143,1),(167,1)}
      122:{3,5}:{(101,1),(102,1)}
      123:{2,3,4,6}:{(102,1),(105,1),(115,1),(141,1),(142,1),(147,1),(149,1),(167,1),(173,1)}
      124:{1,3,5,6}:{(103,1),(104,1),(107,1),(116,1),(140,1),(143,1)}
      125:{2,5}:{(104,1),(105,1),(144,1)}
      126:{1,4,6}:{(105,1),(106,1),(118,1),(144,1)}
      127:{1,2,6}:{(106,1),(110,1),(119,1),(174,1)}
      128:{1,3,5}:{(108,1),(109,1),(111,1),(144,1),(146,1),(148,1)}
      129:{2,4,6}:{(109,1),(110,1),(120,1),(146,1),(147,1),(173,1)}
      130:{2,4,5}:{(111,1),(112,1),(146,1),(148,1),(173,1)}
      131:{3,6}:{(112,1),(148,1)}
      132:{3,6}:{(113,1),(114,1)}
      133:{2,3,5}:{(114,1),(115,1),(117,1),(149,1),(150,1),(181,1)}
      134:{1,3,4}:{(115,1),(118,1),(150,1),(151,1),(153,1)}
      135:{2,4,6}:{(116,1),(117,1),(143,1),(149,1),(152,1),(174,1)}
      136:{1,4,5}:{(117,1),(118,1),(144,1),(150,1),(152,1)}
      137:{1,2,4}:{(118,1),(119,1),(120,1),(151,1),(153,1)}
      138:{2,3}:{(120,1),(153,1)}
      139:{3,4,5}:{(122,1),(154,1),(155,1),(163,1)}
      140:{3,5,6}:{(121,1),(122,1),(132,1),(154,1)}
      141:{2,3,5}:{(122,1),(123,1),(125,1),(155,1),(157,1)}
      142:{1,3,4,6}:{(123,1),(126,1),(134,1),(157,1),(158,1),(161,1),(164,1),(175,1),(179,1),(183,1),(184,1)}
      143:{2,5,6}:{(124,1),(125,1),(135,1),(159,1)}
      144:{1,5}:{(125,1),(126,1)}
      145:{1,2,4,6}:{(126,1),(127,1),(129,1),(137,1),(158,1),(160,1),(161,1),(179,1)}
      146:{2,5}:{(128,1),(129,1)}
      147:{2,3,6}:{(129,1),(131,1),(138,1),(161,1),(162,1)}
      148:{3,5}:{(130,1),(131,1),(163,1)}
      149:{2,3,6}:{(132,1),(133,1),(135,1),(164,1),(183,1)}
      150:{1,3,5}:{(133,1),(134,1),(136,1),(164,1),(165,1)}
      151:{2,4}:{(134,1),(165,1),(166,1)}
      152:{1,4,6}:{(135,1),(136,1),(159,1),(164,1)}
      153:{1,3}:{(137,1),(138,1),(166,1)}
      154:{3,4,6}:{(139,1),(140,1),(167,1)}
      155:{2,4,5}:{(139,1),(141,1),(167,1),(168,1),(173,1)}
      156:{2,3,5,6}:{(140,1),(141,1),(143,1),(149,1),(167,1),(169,1)}
      157:{1,3,5}:{(141,1),(142,1),(144,1),(168,1),(170,1),(181,1)}
      158:{2,4,6}:{(142,1),(151,1),(170,1),(171,1),(174,1),(182,1)}
      159:{1,5,6}:{(143,1),(144,1),(152,1)}
      160:{1,2,5}:{(144,1),(145,1),(146,1),(170,1),(172,1)}
      161:{1,3,6}:{(145,1),(147,1),(153,1),(171,1),(172,1)}
      162:{2,3,5}:{(146,1),(147,1),(148,1),(172,1),(173,1)}
      163:{3,4}:{(148,1),(173,1)}
      164:{1,3,6}:{(149,1),(150,1),(152,1),(174,1)}
      165:{2,5}:{(150,1),(151,1),(174,1)}
      166:{2,3}:{(151,1),(153,1)}
      167:{2,4,6}:{(154,1),(155,1),(156,1),(175,1)}
      168:{1,4,5}:{(155,1),(157,1),(175,1),(176,1),(179,1)}
      169:{1,3,5,6}:{(156,1),(157,1),(159,1),(164,1),(175,1),(177,1),(183,1)}
      170:{2,5}:{(157,1),(158,1)}
      171:{2,3,6}:{(158,1),(161,1),(166,1),(178,1),(183,1)}
      172:{1,3,5}:{(160,1),(161,1),(162,1),(178,1),(179,1)}
      173:{2,4}:{(162,1),(163,1),(179,1)}
      174:{2,6}:{(164,1),(165,1)}
      175:{1,4,6}:{(167,1),(168,1),(169,1),(180,1)}
      176:{2,4,5}:{(168,1),(170,1),(180,1),(181,1),(182,1)}
      177:{2,5,6}:{(169,1),(170,1),(174,1),(180,1)}
      178:{2,3,5}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
      179:{1,4}:{(172,1),(173,1),(182,1)}
      180:{2,4,6}:{(175,1),(176,1),(177,1),(183,1)}
      181:{3,5}:{(176,1),(183,1),(184,1)}
      182:{2,4}:{(178,1),(179,1),(184,1)}
      183:{3,6}:{(180,1),(181,1)}
      184:{3,4}:{(181,1),(182,1)}

236 :  0:{5,6}:{(4,1)}
       1:{4,5}:{(4,1),(5,1)}
       2:{3,4}:{(5,1),(6,1)}
       3:{2,3}:{(6,1),(7,1)}
       4:{4,6}:{(0,1),(1,1),(8,1)}
       5:{3,5}:{(1,1),(2,1),(8,1),(9,1)}
       6:{2,4}:{(2,1),(3,1),(9,1),(10,1)}
       7:{1,3}:{(3,1),(10,1),(11,1),(17,1)}
       8:{3,6}:{(4,1),(5,1),(12,1)}
       9:{2,5}:{(5,1),(6,1),(12,1),(13,1)}
      10:{1,4}:{(6,1),(7,1),(13,1),(14,1)}
      11:{2}:{(7,1)}
      12:{2,6}:{(8,1),(9,1),(15,1)}
      13:{1,5}:{(9,1),(10,1),(15,1),(16,1)}
      14:{2,4}:{(10,1),(11,1),(16,1),(17,1),(21,1)}
      15:{1,6}:{(12,1),(13,1),(18,1)}
      16:{2,5}:{(13,1),(14,1),(18,1),(19,1)}
      17:{3}:{(14,1)}
      18:{2,6}:{(15,1),(16,1),(20,1)}
      19:{3,5}:{(16,1),(17,1),(20,1),(21,1),(23,1)}
      20:{3,6}:{(18,1),(19,1),(22,1)}
      21:{4}:{(19,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

237 :  0:{3,4,6}:{(2,1),(3,1),(14,1),(20,1),(31,1)}
       1:{2,3,6}:{(2,1),(4,1),(5,1),(31,1),(47,1)}
       2:{2,4,6}:{(0,1),(1,1),(7,1),(8,1),(12,1)}
       3:{3,5}:{(0,1),(8,1),(9,1)}
       4:{1,3,6}:{(1,1),(7,1),(10,1),(11,1),(23,1),(55,1)}
       5:{2,3,5}:{(1,1),(8,1),(11,1),(12,1),(26,1),(42,1),(43,1)}
       6:{3,5,6}:{(3,1),(13,1),(14,1),(31,1),(73,1)}
       7:{1,4,6}:{(2,1),(4,1),(15,1),(16,1),(19,1)}
       8:{2,5}:{(2,1),(3,1),(16,1)}
       9:{4,5}:{(3,1),(14,1)}
      10:{2,6}:{(4,1),(18,1)}
      11:{1,3,5}:{(4,1),(5,1),(16,1),(18,1),(19,1),(32,1),(35,1),(50,1),(51,1)}
      12:{2,4}:{(5,1),(19,1),(20,1)}
      13:{2,5,6}:{(6,1),(8,1),(21,1),(22,1),(71,1)}
      14:{4,6}:{(6,1),(9,1),(74,1)}
      15:{2,4,6}:{(7,1),(10,1),(23,1),(24,1),(27,1),(40,1)}
      16:{1,5}:{(7,1),(8,1),(24,1)}
      17:{2,4,5}:{(8,1),(9,1),(12,1),(22,1),(25,1),(26,1),(42,1),(67,1),(71,1),(74,1)}
      18:{2,5}:{(10,1),(11,1),(27,1),(58,1)}
      19:{1,4}:{(11,1),(12,1),(27,1),(40,1)}
      20:{3,4}:{(12,1),(26,1),(74,1)}
      21:{1,5,6}:{(13,1),(16,1),(29,1),(30,1),(68,1)}
      22:{2,4,6}:{(13,1),(14,1),(17,1),(30,1),(31,1),(47,1)}
      23:{3,6}:{(15,1),(32,1),(35,1)}
      24:{2,5}:{(15,1),(16,1),(32,1)}
      25:{1,4,5}:{(16,1),(17,1),(19,1),(30,1),(33,1),(34,1),(50,1),(62,1),(68,1)}
      26:{3,5}:{(17,1),(20,1),(31,1),(70,1)}
      27:{2,4}:{(18,1),(19,1),(35,1)}
      28:{1,3,4}:{(19,1),(20,1),(34,1),(35,1),(36,1),(48,1),(51,1),(62,1),(70,1)}
      29:{2,5,6}:{(21,1),(24,1),(37,1),(38,1),(64,1)}
      30:{1,4,6}:{(21,1),(22,1),(25,1),(38,1),(39,1),(55,1)}
      31:{3,6}:{(22,1),(26,1)}
      32:{3,5}:{(23,1),(24,1),(40,1)}
      33:{2,4,5}:{(24,1),(25,1),(27,1),(38,1),(40,1),(41,1),(42,1),(52,1),(56,1),(64,1)}
      34:{1,3,5}:{(25,1),(26,1),(28,1),(39,1),(41,1),(42,1)}
      35:{3}:{(27,1)}
      36:{2,4}:{(28,1),(42,1),(43,1),(44,1),(58,1)}
      37:{3,5,6}:{(29,1),(32,1),(45,1),(46,1),(59,1)}
      38:{2,4,6}:{(29,1),(30,1),(33,1),(45,1),(46,1),(47,1)}
      39:{1,3,6}:{(30,1),(31,1),(34,1),(46,1),(47,1)}
      40:{4}:{(32,1)}
      41:{3,5}:{(33,1),(35,1),(46,1),(48,1)}
      42:{2,5}:{(34,1),(36,1),(47,1),(50,1)}
      43:{2,3}:{(35,1),(36,1),(51,1),(70,1)}
      44:{1,4}:{(36,1),(50,1),(51,1)}
      45:{4,6}:{(37,1),(40,1),(52,1)}
      46:{3,6}:{(38,1),(41,1)}
      47:{2,6}:{(39,1),(42,1),(55,1)}
      48:{3,4}:{(40,1),(41,1),(56,1)}
      49:{2,3,5}:{(41,1),(42,1),(43,1),(54,1),(56,1),(57,1),(64,1)}
      50:{1,5}:{(42,1),(44,1),(55,1)}
      51:{1,3}:{(43,1),(44,1),(58,1)}
      52:{4,5}:{(45,1),(59,1)}
      53:{3,4,6}:{(45,1),(46,1),(48,1),(59,1),(60,1)}
      54:{2,3,6}:{(46,1),(47,1),(49,1),(60,1),(61,1)}
      55:{1,6}:{(47,1),(50,1)}
      56:{2,4}:{(48,1),(49,1),(62,1)}
      57:{1,3,5}:{(49,1),(50,1),(51,1),(61,1),(62,1),(63,1),(68,1),(70,1),(73,1)}
      58:{2}:{(51,1)}
      59:{3,5}:{(52,1),(53,1),(64,1)}
      60:{2,4,6}:{(53,1),(54,1),(56,1),(64,1),(65,1)}
      61:{1,3,6}:{(54,1),(55,1),(57,1),(65,1),(66,1),(72,1)}
      62:{1,4}:{(56,1),(57,1),(67,1),(74,1)}
      63:{2,5}:{(57,1),(58,1),(66,1),(67,1)}
      64:{2,5}:{(59,1),(60,1),(68,1)}
      65:{1,4,6}:{(60,1),(61,1),(62,1),(68,1),(69,1)}
      66:{2,6}:{(61,1),(63,1)}
      67:{2,4}:{(62,1),(63,1),(70,1)}
      68:{1,5}:{(64,1),(65,1),(71,1)}
      69:{2,4,6}:{(65,1),(66,1),(67,1),(71,1),(72,1),(74,1)}
      70:{3}:{(67,1)}
      71:{2,5}:{(68,1),(69,1),(73,1)}
      72:{3,6}:{(69,1),(70,1),(73,1)}
      73:{3,5}:{(71,1),(72,1),(74,1)}
      74:{4}:{(73,1)}

238 :  0:{1,2,5}:{(2,1),(3,1),(4,1),(39,1),(43,1)}
       1:{2,3,5}:{(2,1),(5,1),(6,1),(19,1),(20,1),(23,1),(39,1)}
       2:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(30,1),(31,1),(49,1)}
       3:{1,2,4}:{(0,1),(8,1),(10,1),(29,1)}
       4:{1,2,6}:{(0,1),(9,1),(50,1)}
       5:{2,4}:{(1,1),(8,1),(12,1)}
       6:{2,3,6}:{(1,1),(9,1),(13,1),(32,1),(50,1)}
       7:{2,3,5}:{(2,1),(14,1),(15,1),(19,1),(35,1),(38,1),(39,1)}
       8:{1,4}:{(2,1),(5,1),(14,1)}
       9:{1,3,6}:{(2,1),(4,1),(6,1),(15,1),(18,1),(54,1)}
      10:{1,3}:{(3,1),(19,1)}
      11:{2,4,5}:{(5,1),(16,1),(20,1),(21,1),(23,1),(39,1),(45,1)}
      12:{3,4}:{(5,1),(20,1)}
      13:{2,4,6}:{(5,1),(6,1),(18,1),(22,1),(23,1)}
      14:{2,4}:{(7,1),(8,1),(25,1)}
      15:{2,3,6}:{(7,1),(9,1),(26,1),(46,1),(50,1)}
      16:{1,4,5}:{(8,1),(11,1),(24,1),(27,1),(28,1),(30,1),(49,1)}
      17:{1,3,4}:{(8,1),(10,1),(12,1),(25,1),(27,1),(29,1)}
      18:{1,4,6}:{(8,1),(9,1),(13,1),(26,1),(30,1)}
      19:{2,3}:{(10,1),(29,1),(31,1)}
      20:{3,5}:{(11,1),(12,1),(32,1)}
      21:{2,4,6}:{(11,1),(28,1),(32,1),(33,1),(50,1),(51,1)}
      22:{3,4,6}:{(12,1),(13,1),(32,1),(34,1),(51,1)}
      23:{2,5}:{(13,1),(30,1),(34,1)}
      24:{2,4,5}:{(14,1),(16,1),(35,1),(36,1),(38,1),(39,1),(53,1)}
      25:{3,4}:{(14,1),(35,1)}
      26:{2,4,6}:{(14,1),(15,1),(18,1),(37,1),(38,1)}
      27:{1,3,5}:{(16,1),(17,1),(20,1),(35,1),(39,1),(40,1)}
      28:{1,4,6}:{(16,1),(21,1),(36,1),(40,1),(41,1),(54,1)}
      29:{2,4}:{(17,1),(19,1),(39,1),(42,1)}
      30:{1,5}:{(18,1),(23,1),(38,1)}
      31:{1,3}:{(19,1),(42,1),(43,1)}
      32:{3,6}:{(20,1),(21,1)}
      33:{2,5,6}:{(21,1),(23,1),(41,1),(44,1)}
      34:{3,5}:{(22,1),(23,1),(45,1)}
      35:{3,5}:{(24,1),(25,1),(46,1)}
      36:{2,4,6}:{(24,1),(28,1),(46,1),(47,1),(50,1),(55,1)}
      37:{3,4,6}:{(25,1),(26,1),(46,1),(48,1),(55,1)}
      38:{2,5}:{(26,1),(30,1),(48,1)}
      39:{2,5}:{(27,1),(29,1),(49,1),(50,1)}
      40:{1,3,6}:{(27,1),(28,1),(32,1),(46,1),(50,1)}
      41:{1,5,6}:{(28,1),(30,1),(33,1),(47,1)}
      42:{1,4}:{(29,1),(31,1),(49,1)}
      43:{1,2}:{(31,1)}
      44:{3,5,6}:{(32,1),(33,1),(34,1),(51,1)}
      45:{4,5}:{(34,1),(51,1)}
      46:{3,6}:{(35,1),(36,1)}
      47:{2,5,6}:{(36,1),(38,1),(41,1),(52,1)}
      48:{3,5}:{(37,1),(38,1),(53,1)}
      49:{1,5}:{(39,1),(42,1),(54,1)}
      50:{2,6}:{(39,1),(40,1),(54,1)}
      51:{4,6}:{(44,1),(45,1)}
      52:{3,5,6}:{(46,1),(47,1),(48,1),(55,1)}
      53:{4,5}:{(48,1),(55,1)}
      54:{1,6}:{(49,1),(50,1)}
      55:{4,6}:{(52,1),(53,1)}

239 :  0:{1,2,6}:{(3,1),(4,1),(53,1)}
       1:{2,3,6}:{(3,1),(5,1),(6,1),(42,1),(53,1)}
       2:{3,4,6}:{(5,1),(7,1),(23,1),(24,1),(42,1)}
       3:{1,3,6}:{(0,1),(1,1),(8,1),(9,1),(10,1),(55,1)}
       4:{1,2,5}:{(0,1),(10,1),(11,1),(48,1),(50,1)}
       5:{2,4,6}:{(1,1),(2,1),(9,1),(12,1),(13,1)}
       6:{2,3,5}:{(1,1),(10,1),(12,1),(13,1),(31,1),(33,1),(48,1)}
       7:{3,5}:{(2,1),(12,1),(15,1)}
       8:{2,3,6}:{(3,1),(16,1),(17,1),(52,1),(53,1)}
       9:{1,4,6}:{(3,1),(5,1),(16,1),(18,1),(19,1)}
      10:{1,3,5}:{(3,1),(4,1),(6,1),(17,1),(18,1),(19,1),(20,1),(41,1),(54,1)}
      11:{1,2,4}:{(4,1),(19,1),(20,1),(40,1)}
      12:{2,5}:{(5,1),(7,1),(18,1)}
      13:{2,4}:{(6,1),(19,1),(23,1)}
      14:{3,5,6}:{(7,1),(21,1),(24,1),(42,1)}
      15:{4,5}:{(7,1),(24,1)}
      16:{2,4,6}:{(8,1),(9,1),(25,1),(26,1),(27,1)}
      17:{2,3,5}:{(8,1),(10,1),(26,1),(27,1),(31,1),(46,1),(48,1)}
      18:{1,5}:{(9,1),(12,1),(26,1)}
      19:{1,4}:{(10,1),(13,1),(27,1)}
      20:{1,3}:{(11,1),(31,1)}
      21:{2,5,6}:{(12,1),(14,1),(28,1),(32,1)}
      22:{2,4,5}:{(12,1),(13,1),(15,1),(29,1),(32,1),(33,1),(48,1)}
      23:{3,4}:{(13,1),(33,1)}
      24:{4,6}:{(14,1),(15,1)}
      25:{3,4,6}:{(16,1),(34,1),(37,1),(51,1),(52,1)}
      26:{2,5}:{(16,1),(18,1),(34,1)}
      27:{2,4}:{(17,1),(19,1),(37,1)}
      28:{1,5,6}:{(18,1),(21,1),(35,1),(38,1)}
      29:{1,4,5}:{(18,1),(19,1),(22,1),(36,1),(38,1),(39,1),(54,1)}
      30:{1,3,4}:{(19,1),(20,1),(23,1),(37,1),(39,1),(40,1)}
      31:{2,3}:{(20,1),(40,1),(41,1)}
      32:{2,4,6}:{(21,1),(22,1),(24,1),(38,1),(42,1),(53,1)}
      33:{3,5}:{(22,1),(23,1),(42,1)}
      34:{3,5}:{(25,1),(26,1),(44,1)}
      35:{2,5,6}:{(26,1),(28,1),(43,1),(45,1)}
      36:{2,4,5}:{(26,1),(27,1),(29,1),(44,1),(45,1),(46,1),(48,1)}
      37:{3,4}:{(27,1),(46,1)}
      38:{1,4,6}:{(28,1),(29,1),(32,1),(45,1),(47,1),(55,1)}
      39:{1,3,5}:{(29,1),(30,1),(33,1),(46,1),(47,1),(48,1)}
      40:{2,4}:{(30,1),(31,1),(48,1),(49,1)}
      41:{1,3}:{(31,1),(49,1),(50,1)}
      42:{3,6}:{(32,1),(33,1)}
      43:{3,5,6}:{(34,1),(35,1),(51,1),(52,1)}
      44:{4,5}:{(34,1),(51,1)}
      45:{2,4,6}:{(35,1),(36,1),(38,1),(51,1),(52,1),(53,1)}
      46:{3,5}:{(36,1),(37,1),(52,1)}
      47:{1,3,6}:{(38,1),(39,1),(42,1),(52,1),(53,1)}
      48:{2,5}:{(39,1),(40,1),(53,1),(54,1)}
      49:{1,4}:{(40,1),(41,1),(54,1)}
      50:{1,2}:{(41,1)}
      51:{4,6}:{(43,1),(44,1)}
      52:{3,6}:{(45,1),(46,1)}
      53:{2,6}:{(47,1),(48,1),(55,1)}
      54:{1,5}:{(48,1),(49,1),(55,1)}
      55:{1,6}:{(53,1),(54,1)}

240 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(12,1),(17,1),(25,1),(26,1),(33,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(17,1)}
       2:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(18,1),(20,1),(29,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(22,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1),(11,1)}
       5:{1,4,6}:{(1,1),(9,1),(11,1),(32,1)}
       6:{2,3,6}:{(2,1),(12,1),(13,1),(17,1),(28,1),(33,1)}
       7:{1,4,6}:{(2,1),(12,1),(14,1),(25,1)}
       8:{2,5}:{(2,1),(3,1),(14,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(25,1),(35,1)}
      10:{1,5,6}:{(4,1),(14,1),(16,1)}
      11:{2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(28,1)}
      12:{1,3,6}:{(6,1),(7,1),(18,1),(19,1),(32,1)}
      13:{2,3,5}:{(6,1),(8,1),(19,1),(20,1),(22,1),(31,1),(36,1)}
      14:{1,5}:{(7,1),(8,1)}
      15:{2,4,5}:{(8,1),(9,1),(11,1),(20,1),(21,1),(22,1),(29,1),(31,1)}
      16:{1,4,6}:{(10,1),(11,1),(21,1),(23,1)}
      17:{3,6}:{(11,1),(22,1)}
      18:{2,6}:{(12,1),(24,1)}
      19:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1),(33,1),(35,1),(38,1)}
      20:{2,4}:{(13,1),(25,1),(26,1)}
      21:{1,4,5}:{(14,1),(15,1),(16,1),(25,1),(27,1)}
      22:{3,5}:{(15,1),(17,1),(26,1),(33,1)}
      23:{1,3,6}:{(16,1),(17,1),(27,1),(28,1)}
      24:{2,5}:{(18,1),(19,1),(29,1),(39,1)}
      25:{1,4}:{(19,1),(20,1),(29,1)}
      26:{3,4}:{(20,1),(22,1)}
      27:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1)}
      28:{2,6}:{(23,1),(31,1),(32,1)}
      29:{2,4}:{(24,1),(25,1),(33,1)}
      30:{1,3,4}:{(25,1),(26,1),(27,1),(33,1),(34,1),(38,1)}
      31:{2,5}:{(27,1),(28,1),(34,1),(35,1)}
      32:{1,6}:{(28,1),(35,1)}
      33:{3}:{(29,1)}
      34:{2,4}:{(30,1),(31,1),(36,1),(37,1),(39,1)}
      35:{1,5}:{(31,1),(32,1),(37,1)}
      36:{2,3}:{(33,1),(34,1),(38,1)}
      37:{1,4}:{(34,1),(35,1),(38,1)}
      38:{1,3}:{(36,1),(37,1),(39,1)}
      39:{2}:{(38,1)}

241 :  0:{1,2}:{(3,1)}
       1:{2,3}:{(3,1),(4,1)}
       2:{3,4}:{(4,1),(5,1)}
       3:{1,3}:{(0,1),(1,1),(6,1),(7,1)}
       4:{2,4}:{(1,1),(2,1),(7,1),(8,1)}
       5:{3,5}:{(2,1),(8,1),(9,1),(10,1)}
       6:{2,3}:{(3,1),(11,1)}
       7:{1,4}:{(3,1),(4,1),(11,1),(12,1)}
       8:{2,5}:{(4,1),(5,1),(12,1),(13,1)}
       9:{4,5}:{(5,1),(14,1)}
      10:{3,6}:{(5,1),(13,1),(14,1)}
      11:{2,4}:{(6,1),(7,1),(15,1),(16,1)}
      12:{1,5}:{(7,1),(8,1),(16,1),(17,1)}
      13:{2,6}:{(8,1),(10,1),(17,1)}
      14:{4,6}:{(9,1),(10,1),(18,1)}
      15:{3,4}:{(11,1),(19,1)}
      16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
      17:{1,6}:{(12,1),(13,1),(20,1)}
      18:{5,6}:{(14,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{2,6}:{(16,1),(17,1),(22,1)}
      21:{4,5}:{(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{4,6}:{(21,1),(22,1),(24,1)}
      24:{5,6}:{(23,1)}

242 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(4,1),(5,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(3,1),(5,1),(6,1)}
       3:{2,4,5}:{(2,1),(7,1),(8,1),(16,1),(28,1)}
       4:{2,5,6}:{(1,1),(9,1),(16,1),(25,1)}
       5:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       6:{3,4,6}:{(2,1),(8,1)}
       7:{1,4,5}:{(3,1),(5,1),(11,1),(12,1),(21,1),(26,1)}
       8:{3,5}:{(3,1),(6,1),(29,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1),(19,1),(22,1),(26,1),(29,1)}
      11:{2,4,5}:{(7,1),(9,1),(15,1),(16,1),(23,1)}
      12:{1,3,5}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
      13:{3,6}:{(9,1),(15,1)}
      14:{2,4,6}:{(10,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(13,1),(19,1)}
      16:{2,5}:{(12,1),(14,1),(21,1)}
      17:{2,3,6}:{(13,1),(14,1),(20,1),(22,1),(29,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,5}:{(16,1),(18,1)}
      22:{1,3,6}:{(17,1),(18,1),(24,1),(25,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(22,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

243 :   0:{2,4,5,6}:{(1,1),(2,1),(13,1),(14,1),(67,1),(110,1)}
        1:{1,4,5,6}:{(0,1),(4,1),(5,1),(23,1),(24,1),(48,1),(92,1)}
        2:{3,5,6}:{(0,1),(6,1),(87,1),(131,1)}
        3:{2,3,4,6}:{(9,1),(10,1),(14,1),(34,1),(55,1),(56,1),(96,1),(109,1),(112,1)}
        4:{2,4,5,6}:{(1,1),(11,1),(13,1),(32,1),(37,1),(73,1)}
        5:{1,3,5,6}:{(1,1),(2,1),(11,1),(12,1),(13,1),(113,1)}
        6:{3,4,6}:{(2,1),(8,1),(14,1)}
        7:{2,3,5,6}:{(2,1),(9,1),(13,1),(14,1),(15,1),(34,1)}
        8:{3,4,5}:{(6,1),(17,1),(118,1),(131,1)}
        9:{2,3,5}:{(3,1),(17,1),(18,1),(131,1),(134,1)}
       10:{1,3,4,6}:{(3,1),(18,1),(19,1),(24,1),(42,1),(50,1),(53,1),(74,1),(79,1),(81,1),(133,1)}
       11:{3,5,6}:{(4,1),(20,1),(53,1),(93,1)}
       12:{1,3,4,6}:{(5,1),(6,1),(16,1),(20,1),(22,1),(24,1),(48,1),(50,1),(53,1),(87,1)}
       13:{2,5,6}:{(5,1),(22,1),(23,1),(134,1)}
       14:{2,4,6}:{(6,1),(7,1),(17,1),(24,1)}
       15:{1,3,5,6}:{(7,1),(18,1),(23,1),(24,1),(25,1),(50,1),(53,1)}
       16:{1,3,4,5}:{(8,1),(12,1),(26,1),(28,1),(31,1),(57,1),(61,1),(65,1),(100,1),(106,1),(113,1)}
       17:{2,4,5}:{(8,1),(9,1),(14,1),(28,1),(96,1)}
       18:{1,3,5}:{(9,1),(10,1),(28,1),(29,1),(61,1),(150,1)}
       19:{2,4,6}:{(10,1),(29,1),(30,1),(62,1),(69,1),(95,1)}
       20:{3,4,6}:{(11,1),(31,1),(32,1)}
       21:{2,3,5,6}:{(11,1),(13,1),(32,1),(33,1),(34,1),(64,1)}
       22:{2,4,6}:{(12,1),(13,1),(26,1),(34,1),(35,1),(69,1)}
       23:{1,5,6}:{(13,1),(35,1),(150,1)}
       24:{1,4,6}:{(14,1),(15,1),(28,1),(37,1)}
       25:{2,5,6}:{(15,1),(29,1),(37,1),(69,1)}
       26:{2,4,5}:{(16,1),(22,1),(39,1),(40,1),(77,1),(122,1),(134,1)}
       27:{1,2,4,6}:{(19,1),(41,1),(42,1),(76,1),(79,1),(89,1),(116,1),(133,1)}
       28:{1,4,5}:{(17,1),(18,1),(24,1),(43,1),(79,1)}
       29:{2,5}:{(18,1),(19,1)}
       30:{2,3,6}:{(19,1),(42,1),(44,1),(53,1),(117,1)}
       31:{3,4,5}:{(20,1),(46,1),(93,1),(177,1)}
       32:{2,4,6}:{(20,1),(21,1),(46,1),(48,1)}
       33:{1,3,5,6}:{(21,1),(23,1),(48,1),(49,1),(50,1),(84,1),(87,1)}
       34:{2,3,6}:{(22,1),(39,1),(50,1),(53,1),(87,1)}
       35:{1,4,6}:{(22,1),(23,1),(40,1),(50,1)}
       36:{1,2,5,6}:{(23,1),(25,1),(41,1),(49,1),(51,1),(52,1),(89,1),(120,1),(126,1),(134,1),(165,1),(180,1)}
       37:{2,4,6}:{(24,1),(25,1),(43,1),(53,1)}
       38:{2,3,5,6}:{(25,1),(44,1),(52,1),(53,1),(54,1),(90,1),(93,1),(134,1),(158,1),(180,1),(184,1)}
       39:{2,3,5}:{(26,1),(34,1),(55,1),(57,1),(61,1),(106,1)}
       40:{1,4,5}:{(26,1),(35,1),(57,1),(140,1),(150,1)}
       41:{1,2,5}:{(27,1),(29,1),(59,1),(97,1),(150,1)}
       42:{1,3,6}:{(27,1),(30,1),(56,1),(59,1),(136,1)}
       43:{2,4,5}:{(28,1),(29,1),(37,1),(61,1),(62,1)}
       44:{2,3,5}:{(29,1),(30,1),(59,1),(61,1),(62,1)}
       45:{2,3,4,6}:{(30,1),(60,1),(62,1),(63,1),(72,1),(104,1),(112,1),(137,1),(168,1)}
       46:{2,4,5}:{(31,1),(32,1),(64,1),(65,1),(170,1)}
       47:{2,3,4,6}:{(32,1),(34,1),(55,1),(64,1),(66,1),(72,1),(112,1),(146,1),(170,1)}
       48:{1,4,6}:{(32,1),(33,1),(65,1),(67,1)}
       49:{2,5,6}:{(33,1),(67,1),(69,1),(105,1)}
       50:{1,3,6}:{(34,1),(35,1),(57,1),(69,1)}
       51:{1,2,4,6}:{(35,1),(36,1),(37,1),(58,1),(67,1),(69,1),(70,1),(71,1),(112,1),(139,1),(169,1),(181,1),(183,1)}
       52:{1,3,5,6}:{(36,1),(38,1),(59,1),(68,1),(70,1),(71,1),(111,1),(113,1),(143,1),(150,1)}
       53:{3,6}:{(37,1),(61,1)}
       54:{2,4,6}:{(38,1),(62,1),(71,1),(72,1),(73,1),(170,1)}
       55:{2,3,4}:{(39,1),(74,1),(81,1),(122,1),(128,1),(152,1)}
       56:{2,3,6}:{(42,1),(75,1),(76,1),(152,1),(155,1)}
       57:{1,3,5}:{(39,1),(40,1),(50,1),(74,1),(77,1)}
       58:{1,2,4,5}:{(40,1),(41,1),(43,1),(51,1),(77,1),(78,1),(79,1),(85,1),(92,1),(116,1),(119,1),(122,1),(126,1),(134,1),(156,1),(159,1),(175,1),(178,1)}
       59:{1,3,5}:{(41,1),(42,1),(44,1),(75,1),(79,1)}
       60:{1,3,4,6}:{(42,1),(45,1),(76,1),(79,1),(80,1),(118,1),(124,1),(133,1),(153,1),(155,1),(176,1)}
       61:{3,5}:{(43,1),(53,1),(81,1)}
       62:{2,4}:{(44,1),(79,1),(81,1)}
       63:{2,3,5}:{(45,1),(80,1),(82,1),(93,1),(134,1)}
       64:{2,3,5}:{(46,1),(47,1),(84,1),(93,1),(134,1)}
       65:{1,4,5}:{(46,1),(48,1),(84,1),(85,1),(159,1)}
       66:{1,3,4,6}:{(47,1),(48,1),(50,1),(74,1),(84,1),(86,1),(87,1),(128,1),(129,1),(133,1),(159,1)}
       67:{2,4,6}:{(48,1),(49,1),(85,1),(87,1)}
       68:{2,3,5,6}:{(49,1),(52,1),(75,1),(87,1),(88,1),(90,1),(120,1),(127,1),(131,1),(134,1),(155,1)}
       69:{2,6}:{(50,1),(77,1)}
       70:{1,3,6}:{(51,1),(53,1),(78,1),(87,1),(90,1),(155,1),(184,1)}
       71:{1,4,6}:{(52,1),(54,1),(79,1),(88,1),(92,1),(159,1)}
       72:{3,4,6}:{(53,1),(54,1),(81,1),(93,1),(177,1),(184,1)}
       73:{2,4,5}:{(54,1),(92,1),(93,1),(134,1)}
       74:{1,3,4}:{(55,1),(57,1),(95,1),(136,1),(140,1)}
       75:{2,3,5}:{(56,1),(59,1),(96,1),(97,1),(138,1)}
       76:{2,4,6}:{(56,1),(60,1),(96,1),(97,1),(166,1),(181,1)}
       77:{2,5}:{(57,1),(69,1),(95,1)}
       78:{1,3,5}:{(58,1),(61,1),(70,1),(99,1),(100,1),(106,1),(136,1),(138,1),(182,1)}
       79:{1,4}:{(59,1),(62,1),(96,1)}
       80:{1,3,5}:{(60,1),(63,1),(97,1),(101,1),(138,1),(150,1)}
       81:{3,4}:{(61,1),(62,1)}
       82:{2,4,5}:{(62,1),(63,1),(101,1),(103,1),(104,1)}
       83:{2,3,5,6}:{(63,1),(102,1),(104,1),(115,1),(151,1),(168,1)}
       84:{1,3,5}:{(64,1),(65,1),(66,1),(105,1),(106,1),(150,1)}
       85:{2,4,5}:{(65,1),(67,1),(105,1),(106,1),(144,1)}
       86:{2,4,6}:{(66,1),(69,1),(95,1),(105,1),(108,1),(144,1)}
       87:{3,6}:{(67,1),(106,1)}
       88:{2,4,6}:{(68,1),(71,1),(96,1),(109,1),(110,1),(144,1)}
       89:{1,2,6}:{(69,1),(98,1),(111,1),(181,1)}
       90:{2,3,6}:{(69,1),(70,1),(99,1),(111,1),(112,1),(181,1)}
       91:{1,3,4,6}:{(70,1),(71,1),(72,1),(100,1),(109,1),(112,1),(113,1)}
       92:{1,4,5}:{(71,1),(73,1),(110,1),(113,1),(150,1)}
       93:{3,5}:{(72,1),(73,1)}
       94:{2,4,5,6}:{(73,1),(104,1),(114,1),(115,1),(151,1),(183,1)}
       95:{2,4}:{(74,1),(77,1),(117,1)}
       96:{2,4}:{(75,1),(79,1),(118,1)}
       97:{2,5}:{(76,1),(80,1)}
       98:{1,2,5}:{(77,1),(89,1),(116,1),(121,1),(175,1)}
       99:{2,3,5}:{(77,1),(78,1),(90,1),(117,1),(121,1),(122,1),(134,1),(152,1),(175,1)}
      100:{1,3,4}:{(78,1),(79,1),(81,1),(118,1),(122,1),(128,1),(159,1),(177,1)}
      101:{1,4,5}:{(79,1),(80,1),(82,1),(119,1),(124,1)}
      102:{1,3,5,6}:{(80,1),(83,1),(120,1),(124,1),(155,1),(165,1),(176,1)}
      103:{3,4,5}:{(81,1),(82,1),(93,1),(125,1)}
      104:{2,4,6}:{(82,1),(83,1),(124,1),(125,1)}
      105:{2,5}:{(84,1),(86,1)}
      106:{3,5}:{(85,1),(87,1),(128,1)}
      107:{1,2,4,6}:{(86,1),(89,1),(116,1),(126,1),(129,1),(133,1),(159,1),(162,1)}
      108:{2,3,6}:{(86,1),(87,1),(117,1),(127,1),(129,1)}
      109:{3,4,6}:{(87,1),(88,1),(118,1),(128,1),(131,1),(155,1)}
      110:{2,4,5}:{(88,1),(92,1),(131,1),(134,1)}
      111:{1,3,6}:{(89,1),(90,1),(121,1),(133,1)}
      112:{2,4,6}:{(90,1),(91,1),(122,1),(133,1),(134,1)}
      113:{1,3,5}:{(91,1),(92,1),(93,1),(131,1),(134,1)}
      114:{1,4,5,6}:{(92,1),(94,1),(124,1),(132,1),(135,1),(165,1),(179,1)}
      115:{3,5,6}:{(93,1),(94,1),(125,1),(184,1)}
      116:{1,2,4}:{(95,1),(98,1),(136,1),(140,1),(166,1)}
      117:{2,3}:{(95,1),(136,1)}
      118:{3,4}:{(96,1),(138,1)}
      119:{2,4,5}:{(96,1),(97,1),(101,1),(138,1),(139,1)}
      120:{2,5,6}:{(97,1),(102,1),(139,1),(181,1)}
      121:{1,3,5}:{(98,1),(99,1),(111,1),(136,1),(140,1),(150,1)}
      122:{2,4}:{(99,1),(100,1),(140,1)}
      123:{1,3,4,5}:{(100,1),(101,1),(103,1),(113,1),(138,1),(141,1),(142,1),(145,1),(167,1),(171,1),(182,1)}
      124:{1,4,6}:{(101,1),(102,1),(104,1),(139,1)}
      125:{3,4,6}:{(103,1),(104,1),(115,1)}
      126:{1,2,5}:{(105,1),(107,1),(143,1),(150,1),(173,1)}
      127:{2,3,5}:{(105,1),(106,1),(108,1),(143,1),(144,1)}
      128:{3,4}:{(106,1),(144,1)}
      129:{1,3,6}:{(107,1),(108,1),(136,1),(143,1),(146,1)}
      130:{2,3,4,6}:{(108,1),(109,1),(112,1),(137,1),(144,1),(147,1),(148,1),(168,1),(172,1)}
      131:{3,5}:{(109,1),(110,1)}
      132:{2,4,5,6}:{(110,1),(114,1),(139,1),(149,1),(151,1),(172,1)}
      133:{1,4,6}:{(111,1),(112,1),(140,1),(150,1)}
      134:{2,5}:{(112,1),(113,1),(150,1)}
      135:{1,3,5,6}:{(113,1),(114,1),(115,1),(142,1),(149,1),(151,1)}
      136:{1,3}:{(116,1),(117,1),(152,1)}
      137:{2,3,4}:{(117,1),(118,1),(122,1),(153,1),(154,1),(177,1)}
      138:{3,5}:{(118,1),(119,1),(155,1)}
      139:{2,4,6}:{(119,1),(120,1),(124,1),(155,1)}
      140:{1,4}:{(121,1),(122,1)}
      141:{2,4,5}:{(122,1),(123,1),(134,1),(154,1),(156,1),(157,1),(175,1)}
      142:{1,3,4,6}:{(123,1),(124,1),(125,1),(135,1),(155,1),(157,1),(161,1),(176,1),(179,1),(184,1)}
      143:{1,3,5}:{(126,1),(127,1),(129,1),(158,1),(159,1)}
      144:{2,4}:{(127,1),(128,1),(159,1)}
      145:{3,4,5}:{(128,1),(131,1),(160,1),(161,1)}
      146:{2,3,6}:{(129,1),(152,1),(158,1),(162,1),(184,1)}
      147:{1,3,4,6}:{(129,1),(130,1),(133,1),(153,1),(159,1),(162,1),(163,1),(176,1),(177,1),(179,1),(184,1)}
      148:{2,3,5}:{(130,1),(131,1),(134,1),(160,1),(163,1)}
      149:{3,5,6}:{(131,1),(132,1),(155,1),(161,1)}
      150:{1,5}:{(133,1),(134,1)}
      151:{2,5,6}:{(134,1),(135,1),(157,1),(165,1)}
      152:{2,3}:{(136,1),(166,1)}
      153:{1,3,4}:{(136,1),(137,1),(140,1),(166,1),(167,1)}
      154:{2,3,5}:{(137,1),(138,1),(141,1),(167,1),(168,1),(182,1)}
      155:{3,6}:{(138,1),(139,1)}
      156:{1,4,5}:{(140,1),(141,1),(150,1),(167,1),(169,1)}
      157:{2,4,6}:{(141,1),(142,1),(151,1),(168,1),(169,1),(181,1)}
      158:{2,3,5}:{(143,1),(146,1),(170,1),(173,1),(182,1)}
      159:{1,4}:{(143,1),(144,1),(170,1)}
      160:{2,4,5}:{(144,1),(145,1),(148,1),(171,1),(172,1)}
      161:{3,4,6}:{(145,1),(149,1),(172,1)}
      162:{2,4,6}:{(146,1),(147,1),(166,1),(170,1),(173,1),(181,1)}
      163:{1,3,5}:{(147,1),(148,1),(150,1),(171,1),(173,1),(182,1)}
      164:{2,3,5,6}:{(148,1),(149,1),(151,1),(168,1),(172,1),(174,1)}
      165:{1,5,6}:{(150,1),(151,1),(169,1)}
      166:{2,4}:{(152,1),(153,1),(175,1)}
      167:{1,3,5}:{(153,1),(154,1),(156,1),(175,1),(176,1)}
      168:{2,3,6}:{(154,1),(155,1),(157,1),(176,1),(184,1)}
      169:{1,4,6}:{(156,1),(157,1),(165,1),(176,1)}
      170:{2,4}:{(158,1),(159,1),(177,1)}
      171:{1,4,5}:{(159,1),(160,1),(163,1),(178,1),(179,1)}
      172:{2,4,6}:{(160,1),(161,1),(164,1),(179,1)}
      173:{2,5}:{(162,1),(163,1)}
      174:{1,3,5,6}:{(163,1),(164,1),(165,1),(176,1),(179,1),(180,1),(184,1)}
      175:{2,5}:{(166,1),(167,1),(181,1)}
      176:{1,3,6}:{(167,1),(168,1),(169,1),(181,1)}
      177:{3,4}:{(170,1),(182,1)}
      178:{2,4,5}:{(170,1),(171,1),(173,1),(182,1),(183,1)}
      179:{1,4,6}:{(171,1),(172,1),(174,1),(183,1)}
      180:{2,5,6}:{(173,1),(174,1),(181,1),(183,1)}
      181:{2,6}:{(175,1),(176,1)}
      182:{3,5}:{(177,1),(178,1),(184,1)}
      183:{2,4,6}:{(178,1),(179,1),(180,1),(184,1)}
      184:{3,6}:{(182,1),(183,1)}

244 :  0:{4,5}:{(3,1),(4,1)}
       1:{3,4}:{(3,1),(5,1)}
       2:{2,3}:{(5,1),(6,1)}
       3:{3,5}:{(0,1),(1,1),(7,1),(8,1)}
       4:{4,6}:{(0,1),(8,1),(9,1)}
       5:{2,4}:{(1,1),(2,1),(7,1),(10,1)}
       6:{1,3}:{(2,1),(10,1),(11,1),(17,1)}
       7:{2,5}:{(3,1),(5,1),(12,1),(13,1)}
       8:{3,6}:{(3,1),(4,1),(13,1)}
       9:{5,6}:{(4,1)}
      10:{1,4}:{(5,1),(6,1),(12,1),(14,1)}
      11:{2}:{(6,1)}
      12:{1,5}:{(7,1),(10,1),(15,1),(16,1)}
      13:{2,6}:{(7,1),(8,1),(16,1)}
      14:{2,4}:{(10,1),(11,1),(15,1),(17,1),(20,1)}
      15:{2,5}:{(12,1),(14,1),(18,1),(19,1)}
      16:{1,6}:{(12,1),(13,1),(19,1)}
      17:{3}:{(14,1)}
      18:{3,5}:{(15,1),(17,1),(20,1),(21,1),(23,1)}
      19:{2,6}:{(15,1),(16,1),(21,1)}
      20:{4}:{(18,1)}
      21:{3,6}:{(18,1),(19,1),(22,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

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

246 :  0:{1,2,3,6}:{(1,1),(2,1),(24,1),(80,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(78,1),(79,1)}
       2:{1,2,3,5}:{(0,1),(4,1),(5,1),(16,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(10,1),(22,1),(24,1),(74,1),(75,1)}
       4:{1,2,5}:{(1,1),(7,1)}
       5:{1,2,4}:{(2,1),(10,1)}
       6:{2,3,4,6}:{(3,1),(11,1),(12,1),(17,1),(31,1),(36,1),(69,1),(70,1)}
       7:{1,3,5}:{(3,1),(4,1),(12,1),(14,1)}
       8:{1,2,5,6}:{(4,1),(13,1),(15,1),(59,1),(79,1)}
       9:{1,2,4,5}:{(4,1),(5,1),(14,1),(15,1),(16,1),(35,1)}
      10:{1,3,4}:{(5,1),(16,1),(17,1)}
      11:{1,3,4,6}:{(6,1),(18,1),(19,1),(26,1),(42,1),(49,1),(62,1),(63,1)}
      12:{2,3,5}:{(6,1),(7,1),(19,1),(21,1)}
      13:{1,3,5,6}:{(7,1),(8,1),(20,1),(22,1),(24,1),(75,1),(77,1)}
      14:{1,4,5}:{(7,1),(21,1),(22,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(22,1),(24,1),(47,1)}
      16:{1,3,5}:{(9,1),(10,1),(24,1),(25,1)}
      17:{2,3,4}:{(10,1),(25,1),(26,1)}
      18:{1,2,4,6}:{(11,1),(27,1),(28,1),(38,1),(52,1),(61,1)}
      19:{1,3,5}:{(11,1),(12,1),(28,1),(30,1)}
      20:{2,3,5,6}:{(12,1),(13,1),(29,1),(31,1),(36,1),(58,1),(59,1),(70,1),(72,1)}
      21:{2,4,5}:{(12,1),(14,1),(30,1),(31,1),(32,1)}
      22:{1,4,6}:{(13,1),(14,1),(31,1)}
      23:{1,3,4,5}:{(14,1),(16,1),(32,1),(34,1),(35,1)}
      24:{1,3,6}:{(15,1),(16,1),(36,1)}
      25:{2,3,5}:{(16,1),(17,1),(35,1),(36,1),(37,1)}
      26:{1,3,4}:{(17,1),(37,1),(38,1)}
      27:{1,2,3,6}:{(18,1),(39,1),(51,1),(63,1)}
      28:{1,2,5}:{(18,1),(19,1)}
      29:{1,3,5,6}:{(19,1),(20,1),(40,1),(42,1),(49,1),(63,1),(68,1)}
      30:{1,4,5}:{(19,1),(21,1),(42,1)}
      31:{2,4,6}:{(20,1),(21,1),(22,1),(42,1),(45,1)}
      32:{3,4,5}:{(21,1),(45,1)}
      33:{1,4,5,6}:{(22,1),(44,1),(46,1),(77,1)}
      34:{1,3,4,6}:{(22,1),(23,1),(24,1),(45,1),(46,1),(47,1)}
      35:{2,4,5}:{(23,1),(25,1),(47,1),(48,1)}
      36:{2,3,6}:{(24,1),(25,1),(47,1),(49,1)}
      37:{1,3,5}:{(25,1),(26,1),(48,1),(49,1),(50,1)}
      38:{1,2,4}:{(26,1),(50,1),(51,1)}
      39:{1,2,3,5}:{(27,1),(28,1),(52,1),(54,1)}
      40:{1,2,5,6}:{(28,1),(29,1),(53,1),(61,1),(72,1)}
      41:{1,2,4,5}:{(28,1),(30,1),(52,1),(53,1),(54,1),(57,1)}
      42:{1,4,6}:{(29,1),(30,1),(31,1)}
      43:{1,3,4,5}:{(30,1),(32,1),(54,1),(56,1),(57,1)}
      44:{2,4,5,6}:{(31,1),(33,1),(55,1),(58,1),(59,1),(72,1)}
      45:{3,4,6}:{(31,1),(32,1),(58,1)}
      46:{1,3,5,6}:{(33,1),(34,1),(58,1),(59,1)}
      47:{2,4,6}:{(34,1),(35,1),(36,1),(59,1),(60,1)}
      48:{1,4,5}:{(35,1),(37,1),(60,1)}
      49:{1,3,6}:{(36,1),(37,1),(60,1),(61,1)}
      50:{1,2,5}:{(37,1),(38,1),(61,1)}
      51:{1,2,3}:{(38,1)}
      52:{1,2,4}:{(39,1),(62,1)}
      53:{1,2,4,6}:{(40,1),(41,1),(42,1),(63,1),(66,1)}
      54:{1,3,5}:{(41,1),(62,1),(63,1),(64,1)}
      55:{1,4,5,6}:{(42,1),(44,1),(65,1),(68,1)}
      56:{1,3,4,6}:{(42,1),(43,1),(45,1),(63,1),(65,1),(66,1)}
      57:{2,4,5}:{(43,1),(64,1),(66,1),(67,1)}
      58:{3,5,6}:{(44,1),(45,1)}
      59:{2,5,6}:{(46,1),(47,1),(68,1)}
      60:{1,4,6}:{(47,1),(48,1),(49,1),(68,1)}
      61:{1,2,6}:{(49,1),(50,1)}
      62:{1,3,4}:{(52,1),(54,1),(69,1)}
      63:{1,3,6}:{(53,1),(54,1),(70,1)}
      64:{2,3,5}:{(54,1),(57,1),(69,1),(70,1),(71,1)}
      65:{1,3,5,6}:{(55,1),(56,1),(58,1),(72,1)}
      66:{2,4,6}:{(56,1),(57,1),(70,1),(72,1),(73,1)}
      67:{1,4,5}:{(57,1),(71,1),(73,1)}
      68:{1,5,6}:{(59,1),(60,1)}
      69:{2,3,4}:{(62,1),(64,1),(74,1)}
      70:{2,3,6}:{(63,1),(64,1),(66,1),(75,1)}
      71:{1,3,5}:{(64,1),(67,1),(74,1),(75,1),(76,1)}
      72:{2,5,6}:{(65,1),(66,1),(77,1)}
      73:{1,4,6}:{(66,1),(67,1),(75,1),(77,1)}
      74:{1,3,4}:{(69,1),(71,1),(78,1)}
      75:{1,3,6}:{(70,1),(71,1),(73,1),(79,1)}
      76:{1,2,5}:{(71,1),(78,1),(79,1)}
      77:{1,5,6}:{(72,1),(73,1)}
      78:{1,2,4}:{(74,1),(76,1),(80,1)}
      79:{1,2,6}:{(75,1),(76,1)}
      80:{1,2,3}:{(78,1)}

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

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

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

250 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(2,1),(3,1)}
       2:{1,3,4}:{(1,1),(4,1),(5,1)}
       3:{1,2,5}:{(1,1),(5,1),(6,1)}
       4:{2,3,4}:{(2,1),(8,1),(9,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
       6:{1,2,6}:{(3,1),(11,1)}
       7:{1,2,3}:{(12,1)}
       8:{1,3,4}:{(4,1),(12,1),(13,1)}
       9:{2,3,5}:{(4,1),(5,1),(13,1),(14,1),(15,1)}
      10:{1,4,5}:{(5,1),(14,1),(16,1)}
      11:{1,3,6}:{(5,1),(6,1),(15,1),(16,1)}
      12:{1,2,4}:{(7,1),(8,1),(17,1)}
      13:{1,3,5}:{(8,1),(9,1),(17,1),(18,1),(19,1)}
      14:{2,4,5}:{(9,1),(10,1),(18,1),(20,1),(21,1)}
      15:{2,3,6}:{(9,1),(11,1),(19,1),(21,1)}
      16:{1,4,6}:{(10,1),(11,1),(21,1),(22,1)}
      17:{1,2,5}:{(12,1),(13,1),(23,1)}
      18:{1,4,5}:{(13,1),(14,1),(24,1)}
      19:{1,3,6}:{(13,1),(15,1),(23,1),(24,1)}
      20:{3,4,5}:{(14,1),(25,1)}
      21:{2,4,6}:{(14,1),(15,1),(16,1),(24,1),(25,1),(26,1)}
      22:{1,5,6}:{(16,1),(26,1)}
      23:{1,2,6}:{(17,1),(19,1)}
      24:{1,4,6}:{(18,1),(19,1),(21,1),(27,1)}
      25:{3,4,6}:{(20,1),(21,1),(28,1)}
      26:{2,5,6}:{(21,1),(22,1),(27,1),(28,1)}
      27:{1,5,6}:{(24,1),(26,1)}
      28:{3,5,6}:{(25,1),(26,1),(29,1)}
      29:{4,5,6}:{(28,1)}

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

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

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

254 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(12,1)}
       1:{1,3,6}:{(0,1),(4,1),(6,1),(44,1)}
       2:{1,2,5}:{(0,1),(6,1),(16,1),(41,1)}
       3:{1,2,6}:{(7,1),(8,1),(42,1)}
       4:{2,3,6}:{(1,1),(7,1),(9,1),(10,1),(37,1),(42,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(25,1),(26,1),(37,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(36,1),(43,1)}
       7:{1,3,6}:{(3,1),(4,1),(13,1),(14,1)}
       8:{1,2,5}:{(3,1),(14,1),(15,1),(39,1)}
       9:{2,4,6}:{(4,1),(5,1),(13,1),(16,1),(17,1)}
      10:{2,3,5}:{(4,1),(6,1),(14,1),(16,1),(17,1),(30,1),(32,1),(39,1)}
      11:{1,3,5}:{(5,1),(16,1),(19,1),(32,1)}
      12:{1,4}:{(6,1),(17,1)}
      13:{1,4,6}:{(7,1),(9,1),(20,1),(21,1)}
      14:{1,3,5}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1)}
      15:{1,2,4}:{(8,1),(21,1),(22,1),(35,1)}
      16:{2,5}:{(9,1),(11,1),(20,1)}
      17:{2,4}:{(10,1),(12,1),(21,1),(25,1)}
      18:{1,3,5,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(43,1)}
      20:{1,5}:{(13,1),(16,1)}
      21:{1,4}:{(14,1),(17,1)}
      22:{1,3}:{(15,1),(30,1)}
      23:{2,5,6}:{(16,1),(18,1),(27,1),(31,1)}
      24:{2,4,5}:{(16,1),(17,1),(19,1),(28,1),(31,1),(32,1),(39,1)}
      25:{3,4}:{(17,1),(32,1)}
      26:{1,4,6}:{(18,1),(19,1),(31,1),(44,1)}
      27:{1,5,6}:{(20,1),(23,1),(33,1)}
      28:{1,4,5}:{(20,1),(21,1),(24,1),(33,1),(34,1)}
      29:{1,3,4}:{(21,1),(22,1),(25,1),(34,1),(35,1)}
      30:{2,3}:{(22,1),(35,1),(36,1)}
      31:{2,4,6}:{(23,1),(24,1),(26,1),(33,1),(37,1),(42,1)}
      32:{3,5}:{(24,1),(25,1),(37,1)}
      33:{1,4,6}:{(27,1),(28,1),(31,1),(38,1)}
      34:{1,3,5}:{(28,1),(29,1),(32,1),(38,1),(39,1)}
      35:{2,4}:{(29,1),(30,1),(39,1),(40,1)}
      36:{1,3}:{(30,1),(40,1),(41,1)}
      37:{3,6}:{(31,1),(32,1)}
      38:{1,3,6}:{(33,1),(34,1),(37,1),(42,1)}
      39:{2,5}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4}:{(35,1),(36,1),(43,1)}
      41:{1,2}:{(36,1)}
      42:{2,6}:{(38,1),(39,1),(44,1)}
      43:{1,5}:{(39,1),(40,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

255 :   0:{1,3,4,5}:{(2,1),(3,1),(13,1),(27,1),(40,1),(61,1),(75,1),(106,1)}
        1:{1,4,5,6}:{(4,1),(6,1),(48,1),(51,1),(96,1)}
        2:{1,3,4,6}:{(0,1),(6,1),(7,1),(20,1),(22,1),(51,1),(92,1)}
        3:{2,4,5}:{(0,1),(5,1),(7,1),(8,1),(23,1),(54,1),(94,1)}
        4:{2,4,5,6}:{(1,1),(10,1),(11,1),(14,1),(32,1),(34,1),(70,1),(116,1)}
        5:{2,3,5}:{(3,1),(9,1),(12,1),(13,1),(106,1)}
        6:{1,3,5,6}:{(1,1),(2,1),(11,1),(14,1),(75,1)}
        7:{2,4,6}:{(2,1),(3,1),(12,1),(14,1),(15,1),(36,1)}
        8:{1,4,5}:{(3,1),(13,1),(15,1),(69,1),(113,1)}
        9:{2,3,4}:{(5,1),(18,1),(54,1),(77,1),(128,1)}
       10:{1,4,5,6}:{(4,1),(19,1),(24,1),(51,1),(134,1)}
       11:{3,5,6}:{(4,1),(20,1),(92,1),(136,1)}
       12:{2,3,6}:{(5,1),(7,1),(22,1),(92,1)}
       13:{1,3,5}:{(5,1),(8,1),(18,1),(22,1),(23,1)}
       14:{2,5,6}:{(6,1),(7,1),(24,1),(94,1)}
       15:{1,4,6}:{(7,1),(8,1),(22,1),(24,1)}
       16:{1,2,4,5}:{(8,1),(23,1),(25,1),(26,1),(42,1),(54,1),(80,1),(83,1),(91,1),(94,1),(96,1),(122,1),(125,1),(157,1)}
       17:{2,3,4,6}:{(9,1),(12,1),(28,1),(29,1),(34,1),(65,1),(72,1),(98,1),(99,1),(115,1),(139,1),(150,1)}
       18:{1,3,4}:{(9,1),(13,1),(30,1),(60,1),(69,1)}
       19:{1,3,5,6}:{(10,1),(11,1),(31,1),(32,1),(151,1)}
       20:{3,4,6}:{(11,1),(27,1),(34,1)}
       21:{2,3,5,6}:{(11,1),(12,1),(14,1),(28,1),(32,1),(34,1),(35,1),(65,1)}
       22:{1,3,6}:{(12,1),(13,1),(15,1),(36,1)}
       23:{2,5}:{(13,1),(30,1),(36,1)}
       24:{1,5,6}:{(14,1),(15,1),(113,1)}
       25:{1,2,4,6}:{(15,1),(16,1),(36,1),(38,1),(39,1),(70,1),(72,1),(74,1),(114,1),(141,1),(170,1)}
       26:{1,3,5}:{(16,1),(37,1),(39,1),(40,1),(60,1),(106,1),(169,1)}
       27:{3,4,5}:{(20,1),(43,1),(136,1),(156,1)}
       28:{2,3,5}:{(17,1),(43,1),(44,1),(94,1),(136,1),(165,1)}
       29:{1,3,4,6}:{(17,1),(18,1),(22,1),(44,1),(45,1),(51,1),(81,1),(87,1),(90,1),(92,1),(119,1),(125,1),(128,1),(164,1)}
       30:{2,4}:{(18,1),(23,1),(46,1)}
       31:{1,3,4,6}:{(19,1),(20,1),(41,1),(47,1),(51,1),(87,1),(92,1)}
       32:{2,5,6}:{(19,1),(47,1),(48,1),(165,1)}
       33:{1,2,5}:{(23,1),(42,1),(49,1),(50,1),(122,1)}
       34:{2,4,6}:{(20,1),(21,1),(43,1),(51,1)}
       35:{1,3,5,6}:{(21,1),(22,1),(24,1),(44,1),(48,1),(51,1),(52,1),(87,1),(92,1)}
       36:{2,6}:{(22,1),(23,1)}
       37:{2,3,5}:{(23,1),(26,1),(46,1),(50,1),(53,1),(54,1),(77,1),(94,1),(122,1)}
       38:{1,2,5,6}:{(24,1),(25,1),(52,1),(55,1),(80,1),(94,1),(131,1),(135,1),(158,1)}
       39:{1,3,6}:{(25,1),(26,1),(53,1),(92,1),(179,1)}
       40:{1,3,4}:{(26,1),(54,1),(125,1),(128,1),(156,1)}
       41:{1,3,4,5}:{(27,1),(31,1),(58,1),(61,1),(101,1),(106,1),(144,1),(151,1)}
       42:{1,2,4}:{(30,1),(33,1),(60,1),(69,1),(100,1)}
       43:{2,4,5}:{(27,1),(28,1),(34,1),(61,1),(139,1)}
       44:{1,3,5}:{(28,1),(29,1),(61,1),(62,1),(106,1),(113,1),(174,1)}
       45:{2,4,6}:{(29,1),(30,1),(36,1),(62,1),(63,1),(107,1),(110,1),(138,1)}
       46:{2,3}:{(30,1),(60,1)}
       47:{2,4,6}:{(31,1),(32,1),(58,1),(65,1),(66,1),(110,1)}
       48:{1,5,6}:{(32,1),(66,1),(174,1)}
       49:{1,2,6}:{(33,1),(36,1),(68,1),(141,1)}
       50:{1,3,5}:{(33,1),(37,1),(60,1),(68,1),(69,1),(113,1)}
       51:{1,4,6}:{(34,1),(35,1),(61,1),(70,1)}
       52:{2,5,6}:{(35,1),(36,1),(62,1),(70,1),(110,1)}
       53:{2,3,6}:{(36,1),(37,1),(39,1),(68,1),(72,1),(141,1)}
       54:{2,4}:{(37,1),(40,1),(69,1)}
       55:{1,3,5,6}:{(38,1),(39,1),(71,1),(74,1),(75,1),(103,1),(149,1),(174,1)}
       56:{1,3,4,6}:{(39,1),(40,1),(72,1),(74,1),(75,1),(115,1)}
       57:{1,3,4,5}:{(40,1),(73,1),(75,1),(76,1),(105,1),(145,1),(147,1),(169,1)}
       58:{2,4,5}:{(41,1),(47,1),(78,1),(79,1),(123,1),(160,1),(165,1)}
       59:{1,2,4,6}:{(42,1),(45,1),(49,1),(80,1),(81,1),(90,1),(121,1),(125,1),(131,1),(154,1),(164,1)}
       60:{1,3}:{(42,1),(46,1),(77,1)}
       61:{1,4,5}:{(43,1),(44,1),(51,1),(83,1),(125,1)}
       62:{2,5}:{(44,1),(45,1)}
       63:{2,3,6}:{(45,1),(46,1),(81,1),(84,1),(92,1),(155,1)}
       64:{2,3,4}:{(46,1),(54,1),(82,1),(86,1),(156,1)}
       65:{2,3,6}:{(47,1),(78,1),(87,1),(92,1)}
       66:{1,4,6}:{(47,1),(48,1),(79,1),(87,1)}
       67:{1,2,5,6}:{(48,1),(49,1),(52,1),(80,1),(88,1),(89,1),(158,1),(165,1),(182,1)}
       68:{1,3,6}:{(49,1),(50,1),(53,1),(90,1)}
       69:{1,4}:{(50,1),(54,1)}
       70:{2,4,6}:{(51,1),(52,1),(83,1),(92,1)}
       71:{2,3,5,6}:{(52,1),(53,1),(55,1),(84,1),(89,1),(92,1),(93,1),(94,1),(120,1),(132,1),(136,1),(158,1),(165,1),(179,1)}
       72:{2,4,6}:{(53,1),(54,1),(56,1),(90,1),(94,1)}
       73:{2,4,5}:{(54,1),(57,1),(86,1),(91,1),(94,1),(95,1),(122,1)}
       74:{1,4,6}:{(55,1),(93,1),(96,1),(125,1)}
       75:{1,3,5}:{(56,1),(94,1),(96,1),(136,1)}
       76:{1,3,4,6}:{(57,1),(95,1),(97,1),(127,1),(162,1),(163,1),(179,1)}
       77:{2,3}:{(60,1),(100,1)}
       78:{2,3,5}:{(58,1),(65,1),(98,1),(101,1),(106,1)}
       79:{1,4,5}:{(58,1),(66,1),(101,1),(171,1),(174,1)}
       80:{1,2,5}:{(59,1),(62,1),(103,1),(113,1),(140,1),(174,1)}
       81:{1,3,6}:{(59,1),(60,1),(63,1),(99,1),(103,1),(167,1)}
       82:{1,3,4}:{(60,1),(64,1),(69,1),(100,1),(105,1)}
       83:{2,4,5}:{(61,1),(62,1),(70,1),(106,1),(107,1)}
       84:{2,3,5}:{(62,1),(63,1),(103,1),(106,1),(107,1)}
       85:{2,3,4,6}:{(63,1),(64,1),(72,1),(104,1),(107,1),(108,1),(109,1),(115,1),(148,1),(150,1),(168,1),(185,1)}
       86:{2,3,5}:{(64,1),(73,1),(105,1),(109,1),(169,1)}
       87:{1,3,6}:{(65,1),(66,1),(101,1),(110,1)}
       88:{1,2,4,6}:{(66,1),(67,1),(70,1),(102,1),(110,1),(111,1),(112,1),(150,1),(170,1),(186,1),(189,1)}
       89:{1,3,5,6}:{(67,1),(68,1),(71,1),(103,1),(111,1),(112,1),(113,1),(151,1)}
       90:{1,4,6}:{(68,1),(69,1),(72,1),(113,1)}
       91:{1,4,5}:{(69,1),(73,1),(105,1),(113,1),(114,1)}
       92:{3,6}:{(70,1),(106,1)}
       93:{2,4,6}:{(71,1),(74,1),(107,1),(112,1),(115,1),(116,1),(139,1)}
       94:{2,5}:{(72,1),(75,1),(113,1)}
       95:{2,4,6}:{(73,1),(76,1),(109,1),(114,1),(117,1),(141,1)}
       96:{1,4,5}:{(74,1),(75,1),(116,1),(174,1)}
       97:{1,3,5,6}:{(75,1),(76,1),(117,1),(118,1),(153,1)}
       98:{2,3,4}:{(78,1),(119,1),(128,1),(160,1),(176,1)}
       99:{2,3,6}:{(77,1),(81,1),(120,1),(121,1),(176,1),(179,1)}
      100:{2,4}:{(77,1),(82,1),(122,1)}
      101:{1,3,5}:{(78,1),(79,1),(87,1),(119,1),(123,1)}
      102:{1,2,4,5}:{(79,1),(80,1),(83,1),(88,1),(123,1),(124,1),(125,1),(134,1),(154,1),(157,1),(160,1),(165,1),(180,1),(187,1)}
      103:{1,3,5}:{(80,1),(81,1),(84,1),(120,1),(125,1)}
      104:{1,3,4,6}:{(81,1),(82,1),(85,1),(90,1),(121,1),(125,1),(126,1),(127,1),(156,1),(162,1),(164,1),(177,1),(179,1),(188,1)}
      105:{1,3,5}:{(82,1),(86,1),(91,1),(122,1),(127,1)}
      106:{3,5}:{(83,1),(92,1),(128,1)}
      107:{2,4}:{(84,1),(125,1),(128,1)}
      108:{2,3,5}:{(85,1),(94,1),(126,1),(129,1),(136,1),(165,1)}
      109:{2,3,6}:{(86,1),(95,1),(127,1),(179,1)}
      110:{2,6}:{(87,1),(123,1)}
      111:{1,3,6}:{(88,1),(92,1),(124,1),(132,1),(179,1)}
      112:{1,4,6}:{(89,1),(93,1),(125,1),(134,1)}
      113:{1,5}:{(90,1),(94,1)}
      114:{1,4,6}:{(91,1),(95,1),(127,1),(135,1)}
      115:{3,4,6}:{(92,1),(93,1),(128,1),(136,1),(156,1),(179,1)}
      116:{2,4,5}:{(93,1),(94,1),(96,1),(134,1),(136,1),(165,1)}
      117:{2,5,6}:{(94,1),(95,1),(97,1),(135,1)}
      118:{1,4,5,6}:{(96,1),(97,1),(137,1),(162,1),(182,1)}
      119:{1,3,4}:{(98,1),(101,1),(138,1),(167,1),(171,1)}
      120:{2,3,5}:{(99,1),(103,1),(139,1),(140,1),(169,1)}
      121:{2,4,6}:{(99,1),(100,1),(104,1),(139,1),(140,1),(141,1),(183,1),(189,1)}
      122:{2,5}:{(100,1),(105,1),(141,1)}
      123:{2,5}:{(101,1),(110,1),(138,1)}
      124:{1,3,5}:{(102,1),(106,1),(111,1),(143,1),(144,1),(167,1),(169,1)}
      125:{1,4}:{(103,1),(107,1),(139,1)}
      126:{1,3,5}:{(104,1),(108,1),(113,1),(140,1),(145,1),(169,1),(174,1)}
      127:{1,3,6}:{(105,1),(109,1),(114,1),(141,1)}
      128:{3,4}:{(106,1),(107,1)}
      129:{2,4,5}:{(107,1),(108,1),(145,1),(147,1),(148,1)}
      130:{2,3,5,6}:{(108,1),(109,1),(117,1),(146,1),(148,1),(153,1),(175,1),(185,1)}
      131:{1,2,6}:{(110,1),(142,1),(149,1),(189,1)}
      132:{2,3,6}:{(110,1),(111,1),(143,1),(149,1),(150,1),(189,1)}
      133:{1,3,4,6}:{(111,1),(112,1),(115,1),(144,1),(150,1),(151,1)}
      134:{1,4,5}:{(112,1),(113,1),(116,1),(151,1)}
      135:{1,5,6}:{(113,1),(114,1),(117,1)}
      136:{3,5}:{(115,1),(116,1)}
      137:{2,4,5,6}:{(116,1),(117,1),(118,1),(148,1),(152,1),(153,1),(170,1),(175,1)}
      138:{2,4}:{(119,1),(123,1),(155,1)}
      139:{2,4}:{(120,1),(125,1),(156,1)}
      140:{2,5}:{(121,1),(126,1)}
      141:{2,6}:{(122,1),(127,1)}
      142:{1,2,5}:{(123,1),(131,1),(154,1),(159,1),(187,1)}
      143:{2,3,5}:{(123,1),(124,1),(132,1),(155,1),(159,1),(160,1),(165,1),(176,1),(187,1)}
      144:{1,3,4}:{(124,1),(125,1),(128,1),(156,1),(160,1)}
      145:{1,4,5}:{(125,1),(126,1),(129,1),(157,1),(162,1)}
      146:{1,3,5,6}:{(126,1),(127,1),(130,1),(135,1),(158,1),(162,1),(179,1),(182,1),(188,1)}
      147:{3,4,5}:{(128,1),(129,1),(136,1),(163,1)}
      148:{2,4,6}:{(129,1),(130,1),(162,1),(163,1)}
      149:{1,3,6}:{(131,1),(132,1),(159,1),(164,1)}
      150:{2,4,6}:{(132,1),(133,1),(160,1),(164,1),(165,1)}
      151:{1,3,5}:{(133,1),(134,1),(136,1),(165,1)}
      152:{1,4,5,6}:{(134,1),(135,1),(137,1),(162,1),(166,1)}
      153:{3,5,6}:{(136,1),(137,1),(163,1),(179,1)}
      154:{1,2,4}:{(138,1),(142,1),(167,1),(171,1),(183,1)}
      155:{2,3}:{(138,1),(167,1)}
      156:{3,4}:{(139,1),(169,1)}
      157:{2,4,5}:{(139,1),(140,1),(145,1),(169,1),(170,1)}
      158:{2,5,6}:{(140,1),(141,1),(146,1),(170,1),(189,1)}
      159:{1,3,5}:{(142,1),(143,1),(149,1),(167,1),(171,1),(174,1)}
      160:{2,4}:{(143,1),(144,1),(171,1)}
      161:{1,3,4,5}:{(144,1),(145,1),(147,1),(151,1),(169,1),(172,1),(173,1),(184,1)}
      162:{1,4,6}:{(145,1),(146,1),(148,1),(170,1)}
      163:{3,4,6}:{(147,1),(148,1),(153,1)}
      164:{1,4,6}:{(149,1),(150,1),(171,1),(174,1)}
      165:{2,5}:{(150,1),(151,1),(174,1)}
      166:{1,3,5,6}:{(151,1),(152,1),(153,1),(173,1),(175,1)}
      167:{1,3}:{(154,1),(155,1),(176,1)}
      168:{2,3,4}:{(155,1),(156,1),(160,1),(177,1),(178,1)}
      169:{3,5}:{(156,1),(157,1),(179,1)}
      170:{2,4,6}:{(157,1),(158,1),(162,1),(179,1)}
      171:{1,4}:{(159,1),(160,1)}
      172:{2,4,5}:{(160,1),(161,1),(165,1),(178,1),(180,1),(181,1),(187,1)}
      173:{1,3,4,6}:{(161,1),(162,1),(163,1),(166,1),(179,1),(181,1),(188,1)}
      174:{1,5}:{(164,1),(165,1)}
      175:{2,5,6}:{(165,1),(166,1),(181,1),(182,1)}
      176:{2,3}:{(167,1),(183,1)}
      177:{1,3,4}:{(167,1),(168,1),(171,1),(183,1),(184,1)}
      178:{2,3,5}:{(168,1),(169,1),(172,1),(184,1),(185,1)}
      179:{3,6}:{(169,1),(170,1)}
      180:{1,4,5}:{(171,1),(172,1),(174,1),(184,1),(186,1)}
      181:{2,4,6}:{(172,1),(173,1),(175,1),(185,1),(186,1),(189,1)}
      182:{1,5,6}:{(174,1),(175,1),(186,1)}
      183:{2,4}:{(176,1),(177,1),(187,1)}
      184:{1,3,5}:{(177,1),(178,1),(180,1),(187,1),(188,1)}
      185:{2,3,6}:{(178,1),(179,1),(181,1),(188,1)}
      186:{1,4,6}:{(180,1),(181,1),(182,1),(188,1)}
      187:{2,5}:{(183,1),(184,1),(189,1)}
      188:{1,3,6}:{(184,1),(185,1),(186,1),(189,1)}
      189:{2,6}:{(187,1),(188,1)}

256 :   0:{1,4,5,6}:{(1,1),(2,1),(29,1),(32,1),(71,1)}
        1:{2,4,5,6}:{(0,1),(4,1),(5,1),(7,1),(17,1),(19,1),(47,1),(86,1)}
        2:{1,3,5,6}:{(0,1),(5,1),(6,1),(7,1),(91,1)}
        3:{1,3,4,5}:{(6,1),(8,1),(18,1),(25,1),(45,1),(55,1),(82,1),(91,1)}
        4:{1,4,5,6}:{(1,1),(9,1),(13,1),(32,1),(102,1)}
        5:{3,5,6}:{(1,1),(10,1),(64,1),(108,1)}
        6:{1,3,4,6}:{(2,1),(3,1),(10,1),(12,1),(32,1),(35,1),(64,1)}
        7:{2,5,6}:{(2,1),(12,1),(13,1),(114,1)}
        8:{2,4,5}:{(3,1),(12,1),(14,1),(15,1),(38,1),(73,1),(114,1)}
        9:{1,3,5,6}:{(4,1),(5,1),(16,1),(17,1),(124,1)}
       10:{3,4,6}:{(5,1),(18,1),(19,1)}
       11:{2,3,5,6}:{(5,1),(7,1),(17,1),(19,1),(20,1),(22,1),(41,1),(44,1)}
       12:{2,4,6}:{(6,1),(7,1),(8,1),(22,1),(23,1),(50,1)}
       13:{1,5,6}:{(7,1),(23,1),(136,1)}
       14:{2,3,5}:{(8,1),(21,1),(22,1),(25,1),(82,1)}
       15:{1,4,5}:{(8,1),(23,1),(25,1),(93,1),(136,1)}
       16:{1,3,4,6}:{(9,1),(10,1),(27,1),(28,1),(32,1),(58,1),(64,1)}
       17:{2,5,6}:{(9,1),(28,1),(29,1),(145,1)}
       18:{3,4,5}:{(10,1),(30,1),(108,1),(176,1)}
       19:{2,4,6}:{(10,1),(11,1),(30,1),(32,1)}
       20:{1,3,5,6}:{(11,1),(13,1),(29,1),(32,1),(33,1),(35,1),(58,1),(61,1),(64,1)}
       21:{2,3,4}:{(14,1),(34,1),(73,1),(105,1),(110,1)}
       22:{2,3,6}:{(12,1),(14,1),(35,1),(64,1)}
       23:{1,4,6}:{(12,1),(13,1),(15,1),(35,1)}
       24:{1,2,5,6}:{(13,1),(33,1),(36,1),(37,1),(99,1),(103,1),(114,1),(156,1),(179,1)}
       25:{1,3,5}:{(14,1),(15,1),(34,1),(35,1),(38,1)}
       26:{1,2,4,5}:{(15,1),(36,1),(38,1),(39,1),(62,1),(66,1),(71,1),(73,1),(103,1),(114,1),(116,1),(148,1),(154,1),(177,1)}
       27:{1,3,4,5}:{(16,1),(18,1),(40,1),(45,1),(76,1),(82,1),(121,1),(124,1)}
       28:{2,4,6}:{(16,1),(17,1),(40,1),(41,1),(42,1),(78,1)}
       29:{1,5,6}:{(17,1),(42,1),(162,1)}
       30:{2,4,5}:{(18,1),(19,1),(44,1),(45,1),(164,1)}
       31:{2,3,4,6}:{(19,1),(21,1),(22,1),(41,1),(44,1),(46,1),(75,1),(85,1),(90,1),(123,1),(129,1),(164,1)}
       32:{1,4,6}:{(19,1),(20,1),(45,1),(47,1)}
       33:{2,5,6}:{(20,1),(47,1),(50,1),(78,1),(81,1)}
       34:{1,3,4}:{(21,1),(25,1),(49,1),(87,1),(93,1)}
       35:{1,3,6}:{(22,1),(23,1),(25,1),(50,1)}
       36:{1,2,4,6}:{(23,1),(24,1),(26,1),(47,1),(50,1),(51,1),(52,1),(90,1),(138,1),(169,1),(185,1)}
       37:{1,3,5,6}:{(24,1),(48,1),(51,1),(52,1),(91,1),(122,1),(126,1),(162,1)}
       38:{2,5}:{(25,1),(49,1),(50,1)}
       39:{1,3,5}:{(26,1),(51,1),(54,1),(55,1),(82,1),(87,1),(184,1)}
       40:{2,4,5}:{(27,1),(28,1),(56,1),(57,1),(97,1),(142,1),(145,1)}
       41:{2,3,6}:{(28,1),(56,1),(58,1),(64,1)}
       42:{1,4,6}:{(28,1),(29,1),(57,1),(58,1)}
       43:{1,2,5,6}:{(29,1),(33,1),(59,1),(60,1),(68,1),(103,1),(145,1),(175,1),(179,1)}
       44:{2,3,5}:{(30,1),(31,1),(61,1),(108,1),(114,1),(145,1)}
       45:{1,4,5}:{(30,1),(32,1),(61,1),(62,1),(148,1)}
       46:{1,3,4,6}:{(31,1),(32,1),(34,1),(35,1),(58,1),(61,1),(63,1),(64,1),(96,1),(105,1),(106,1),(113,1),(144,1),(148,1)}
       47:{2,4,6}:{(32,1),(33,1),(62,1),(64,1)}
       48:{2,3,5,6}:{(33,1),(37,1),(60,1),(64,1),(65,1),(69,1),(100,1),(104,1),(108,1),(114,1),(145,1),(147,1),(179,1),(188,1)}
       49:{2,4}:{(34,1),(38,1),(67,1)}
       50:{2,6}:{(35,1),(38,1)}
       51:{1,3,6}:{(36,1),(39,1),(64,1),(69,1),(188,1)}
       52:{1,4,6}:{(37,1),(65,1),(71,1),(148,1)}
       53:{1,2,5}:{(38,1),(66,1),(68,1),(72,1),(154,1)}
       54:{2,3,5}:{(38,1),(39,1),(67,1),(69,1),(72,1),(73,1),(110,1),(114,1),(154,1)}
       55:{1,3,4}:{(39,1),(73,1),(105,1),(148,1),(176,1)}
       56:{2,3,5}:{(40,1),(41,1),(75,1),(76,1),(82,1)}
       57:{1,4,5}:{(40,1),(42,1),(76,1),(159,1),(162,1)}
       58:{1,3,6}:{(41,1),(42,1),(76,1),(78,1)}
       59:{1,2,4,6}:{(42,1),(43,1),(47,1),(77,1),(78,1),(79,1),(80,1),(123,1),(183,1),(185,1),(189,1)}
       60:{1,3,5,6}:{(43,1),(48,1),(79,1),(80,1),(89,1),(124,1),(126,1),(136,1)}
       61:{1,3,5}:{(44,1),(45,1),(46,1),(81,1),(82,1),(136,1),(162,1)}
       62:{2,4,5}:{(45,1),(47,1),(81,1),(82,1),(127,1)}
       63:{2,4,6}:{(46,1),(49,1),(50,1),(78,1),(81,1),(84,1),(118,1),(127,1)}
       64:{3,6}:{(47,1),(82,1)}
       65:{2,4,6}:{(48,1),(52,1),(80,1),(85,1),(86,1),(127,1),(164,1)}
       66:{1,2,4}:{(49,1),(53,1),(87,1),(93,1),(133,1)}
       67:{2,3}:{(49,1),(87,1)}
       68:{1,2,6}:{(50,1),(53,1),(89,1),(169,1)}
       69:{2,3,6}:{(50,1),(51,1),(54,1),(89,1),(90,1),(169,1)}
       70:{1,3,4,6}:{(51,1),(52,1),(55,1),(85,1),(90,1),(91,1)}
       71:{1,4,5}:{(52,1),(86,1),(91,1),(162,1)}
       72:{1,3,5}:{(53,1),(54,1),(87,1),(89,1),(93,1),(136,1)}
       73:{2,4}:{(54,1),(55,1),(93,1)}
       74:{1,3,4,5}:{(55,1),(91,1),(94,1),(95,1),(128,1),(134,1),(165,1),(184,1)}
       75:{2,3,4}:{(56,1),(96,1),(105,1),(142,1),(170,1)}
       76:{1,3,5}:{(56,1),(57,1),(58,1),(96,1),(97,1)}
       77:{1,2,4,5}:{(57,1),(59,1),(62,1),(97,1),(98,1),(102,1),(103,1),(139,1),(142,1),(145,1),(148,1),(173,1),(177,1),(186,1)}
       78:{2,6}:{(58,1),(97,1)}
       79:{1,3,6}:{(59,1),(64,1),(98,1),(100,1),(188,1)}
       80:{1,4,6}:{(60,1),(65,1),(102,1),(148,1)}
       81:{2,5}:{(61,1),(63,1)}
       82:{3,5}:{(62,1),(64,1),(105,1)}
       83:{1,2,4,6}:{(63,1),(66,1),(68,1),(99,1),(103,1),(106,1),(113,1),(139,1),(144,1),(148,1),(151,1)}
       84:{2,3,6}:{(63,1),(64,1),(67,1),(104,1),(106,1),(140,1)}
       85:{3,4,6}:{(64,1),(65,1),(105,1),(108,1),(176,1),(188,1)}
       86:{2,4,5}:{(65,1),(71,1),(102,1),(108,1),(114,1),(145,1)}
       87:{1,3}:{(66,1),(67,1),(110,1)}
       88:{2,3,4}:{(67,1),(73,1),(111,1),(112,1),(176,1)}
       89:{1,3,6}:{(68,1),(69,1),(72,1),(113,1)}
       90:{2,4,6}:{(69,1),(70,1),(73,1),(113,1),(114,1)}
       91:{1,3,5}:{(70,1),(71,1),(108,1),(114,1)}
       92:{1,4,5,6}:{(71,1),(109,1),(115,1),(175,1),(178,1)}
       93:{1,4}:{(72,1),(73,1)}
       94:{2,4,5}:{(73,1),(74,1),(112,1),(114,1),(116,1),(117,1),(154,1)}
       95:{1,3,4,6}:{(74,1),(115,1),(117,1),(150,1),(155,1),(178,1),(188,1)}
       96:{1,3,4}:{(75,1),(76,1),(118,1),(157,1),(159,1)}
       97:{2,5}:{(76,1),(78,1),(118,1)}
       98:{1,3,5}:{(77,1),(79,1),(82,1),(120,1),(121,1),(157,1),(184,1)}
       99:{1,2,6}:{(78,1),(119,1),(122,1),(189,1)}
      100:{2,3,6}:{(78,1),(79,1),(120,1),(122,1),(123,1),(189,1)}
      101:{1,3,4,6}:{(79,1),(80,1),(85,1),(121,1),(123,1),(124,1)}
      102:{1,4,5}:{(80,1),(86,1),(124,1),(136,1)}
      103:{1,2,5}:{(81,1),(83,1),(126,1),(136,1),(162,1),(167,1)}
      104:{2,3,5}:{(81,1),(82,1),(84,1),(126,1),(127,1)}
      105:{3,4}:{(82,1),(127,1)}
      106:{1,3,6}:{(83,1),(84,1),(87,1),(126,1),(129,1),(157,1)}
      107:{2,3,4,6}:{(84,1),(85,1),(88,1),(90,1),(123,1),(127,1),(130,1),(131,1),(135,1),(158,1),(166,1),(182,1)}
      108:{3,5}:{(85,1),(86,1)}
      109:{2,4,5,6}:{(86,1),(92,1),(125,1),(132,1),(137,1),(163,1),(166,1),(185,1)}
      110:{2,3}:{(87,1),(133,1)}
      111:{1,3,4}:{(87,1),(88,1),(93,1),(133,1),(134,1)}
      112:{2,3,5}:{(88,1),(94,1),(134,1),(135,1),(184,1)}
      113:{1,4,6}:{(89,1),(90,1),(93,1),(136,1)}
      114:{2,5}:{(90,1),(91,1),(136,1)}
      115:{1,3,5,6}:{(91,1),(92,1),(95,1),(132,1),(137,1)}
      116:{1,4,5}:{(93,1),(94,1),(134,1),(136,1),(138,1)}
      117:{2,4,6}:{(94,1),(95,1),(135,1),(137,1),(138,1),(169,1)}
      118:{2,4}:{(96,1),(97,1),(140,1)}
      119:{1,2,5}:{(97,1),(99,1),(139,1),(141,1),(186,1)}
      120:{2,3,5}:{(97,1),(98,1),(100,1),(140,1),(141,1),(142,1),(145,1),(170,1),(186,1)}
      121:{1,3,4}:{(98,1),(105,1),(142,1),(148,1),(176,1)}
      122:{1,3,6}:{(99,1),(100,1),(141,1),(144,1)}
      123:{2,4,6}:{(100,1),(101,1),(142,1),(144,1),(145,1)}
      124:{1,3,5}:{(101,1),(102,1),(108,1),(145,1)}
      125:{1,4,5,6}:{(102,1),(109,1),(146,1),(156,1),(178,1)}
      126:{1,3,5}:{(103,1),(104,1),(106,1),(147,1),(148,1)}
      127:{2,4}:{(104,1),(105,1),(148,1)}
      128:{3,4,5}:{(105,1),(108,1),(149,1),(150,1)}
      129:{2,3,6}:{(106,1),(110,1),(147,1),(151,1),(170,1),(188,1)}
      130:{1,3,4,6}:{(106,1),(107,1),(111,1),(113,1),(144,1),(148,1),(151,1),(152,1),(155,1),(171,1),(176,1),(178,1),(187,1),(188,1)}
      131:{2,3,5}:{(107,1),(108,1),(114,1),(145,1),(149,1),(152,1)}
      132:{3,5,6}:{(108,1),(109,1),(150,1),(188,1)}
      133:{2,4}:{(110,1),(111,1),(154,1)}
      134:{1,3,5}:{(111,1),(112,1),(116,1),(154,1),(155,1)}
      135:{2,3,6}:{(112,1),(117,1),(155,1),(188,1)}
      136:{1,5}:{(113,1),(114,1)}
      137:{2,5,6}:{(114,1),(115,1),(117,1),(156,1)}
      138:{1,4,6}:{(116,1),(117,1),(155,1),(156,1)}
      139:{1,2,4}:{(118,1),(119,1),(157,1),(159,1),(180,1)}
      140:{2,3}:{(118,1),(157,1)}
      141:{1,3,5}:{(119,1),(120,1),(122,1),(157,1),(159,1),(162,1)}
      142:{2,4}:{(120,1),(121,1),(159,1)}
      143:{1,3,4,5}:{(121,1),(124,1),(128,1),(160,1),(161,1),(165,1),(181,1),(184,1)}
      144:{1,4,6}:{(122,1),(123,1),(159,1),(162,1)}
      145:{2,5}:{(123,1),(124,1),(162,1)}
      146:{1,3,5,6}:{(124,1),(125,1),(132,1),(161,1),(163,1)}
      147:{2,3,5}:{(126,1),(129,1),(164,1),(167,1),(184,1)}
      148:{1,4}:{(126,1),(127,1),(164,1)}
      149:{2,4,5}:{(127,1),(128,1),(131,1),(165,1),(166,1)}
      150:{3,4,6}:{(128,1),(132,1),(166,1)}
      151:{2,4,6}:{(129,1),(130,1),(133,1),(164,1),(167,1),(169,1),(180,1),(189,1)}
      152:{1,3,5}:{(130,1),(131,1),(136,1),(162,1),(165,1),(167,1),(184,1)}
      153:{2,3,5,6}:{(131,1),(132,1),(135,1),(137,1),(163,1),(166,1),(168,1),(182,1)}
      154:{2,5}:{(133,1),(134,1),(169,1)}
      155:{1,3,6}:{(134,1),(135,1),(138,1),(169,1)}
      156:{1,5,6}:{(136,1),(137,1),(138,1)}
      157:{1,3}:{(139,1),(140,1),(170,1)}
      158:{2,3,4}:{(140,1),(142,1),(171,1),(172,1),(176,1)}
      159:{1,4}:{(141,1),(142,1)}
      160:{2,4,5}:{(142,1),(143,1),(145,1),(172,1),(173,1),(174,1),(186,1)}
      161:{1,3,4,6}:{(143,1),(146,1),(150,1),(174,1),(178,1),(187,1),(188,1)}
      162:{1,5}:{(144,1),(145,1)}
      163:{2,5,6}:{(145,1),(146,1),(174,1),(175,1)}
      164:{2,4}:{(147,1),(148,1),(176,1)}
      165:{1,4,5}:{(148,1),(149,1),(152,1),(177,1),(178,1)}
      166:{2,4,6}:{(149,1),(150,1),(153,1),(178,1)}
      167:{2,5}:{(151,1),(152,1)}
      168:{1,3,5,6}:{(152,1),(153,1),(155,1),(156,1),(175,1),(178,1),(179,1),(187,1),(188,1)}
      169:{2,6}:{(154,1),(155,1)}
      170:{2,3}:{(157,1),(180,1)}
      171:{1,3,4}:{(157,1),(158,1),(159,1),(180,1),(181,1)}
      172:{2,3,5}:{(158,1),(160,1),(181,1),(182,1),(184,1)}
      173:{1,4,5}:{(159,1),(160,1),(162,1),(181,1),(183,1)}
      174:{2,4,6}:{(160,1),(161,1),(163,1),(182,1),(183,1),(189,1)}
      175:{1,5,6}:{(162,1),(163,1),(183,1)}
      176:{3,4}:{(164,1),(184,1)}
      177:{2,4,5}:{(164,1),(165,1),(167,1),(184,1),(185,1)}
      178:{1,4,6}:{(165,1),(166,1),(168,1),(185,1)}
      179:{2,5,6}:{(167,1),(168,1),(169,1),(185,1),(189,1)}
      180:{2,4}:{(170,1),(171,1),(186,1)}
      181:{1,3,5}:{(171,1),(172,1),(173,1),(186,1),(187,1)}
      182:{2,3,6}:{(172,1),(174,1),(187,1),(188,1)}
      183:{1,4,6}:{(173,1),(174,1),(175,1),(187,1)}
      184:{3,5}:{(176,1),(177,1),(188,1)}
      185:{2,4,6}:{(177,1),(178,1),(179,1),(188,1)}
      186:{2,5}:{(180,1),(181,1),(189,1)}
      187:{1,3,6}:{(181,1),(182,1),(183,1),(189,1)}
      188:{3,6}:{(184,1),(185,1)}
      189:{2,6}:{(186,1),(187,1)}

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

258 :  0:{2,3,4}:{(1,1),(2,1),(11,1),(31,1)}
       1:{1,3,4}:{(0,1),(4,1),(5,1),(8,1),(19,1),(27,1),(38,1),(40,1)}
       2:{2,3,5}:{(0,1),(5,1),(6,1),(7,1)}
       3:{1,2,4}:{(4,1),(8,1),(9,1),(27,1)}
       4:{2,4}:{(1,1),(11,1),(12,1)}
       5:{1,3,5}:{(1,1),(2,1),(12,1),(13,1),(14,1),(33,1)}
       6:{2,4,5}:{(2,1),(13,1),(15,1),(16,1),(31,1),(48,1)}
       7:{2,3,6}:{(2,1),(14,1),(16,1)}
       8:{1,3}:{(3,1),(11,1)}
       9:{1,2,5}:{(3,1),(12,1),(17,1),(18,1)}
      10:{1,2,4}:{(4,1),(19,1),(20,1),(38,1)}
      11:{2,3}:{(4,1),(8,1),(19,1)}
      12:{2,5}:{(4,1),(5,1),(23,1)}
      13:{1,4,5}:{(5,1),(6,1),(22,1),(24,1),(27,1),(38,1),(45,1),(50,1)}
      14:{1,3,6}:{(5,1),(7,1),(23,1),(24,1),(42,1)}
      15:{3,4,5}:{(6,1),(25,1),(40,1),(51,1)}
      16:{2,4,6}:{(6,1),(7,1),(24,1),(25,1),(26,1)}
      17:{1,3,5}:{(8,1),(9,1),(21,1),(27,1),(28,1),(45,1)}
      18:{1,2,6}:{(9,1),(23,1),(28,1)}
      19:{1,3}:{(10,1),(11,1)}
      20:{1,2,5}:{(10,1),(12,1),(29,1),(30,1)}
      21:{2,3,5}:{(11,1),(12,1),(17,1),(29,1),(31,1),(32,1),(33,1),(48,1)}
      22:{2,4,5}:{(12,1),(13,1),(31,1),(33,1),(34,1),(48,1),(53,1)}
      23:{2,6}:{(12,1),(14,1)}
      24:{1,4,6}:{(13,1),(14,1),(16,1),(34,1),(35,1)}
      25:{3,4,6}:{(15,1),(16,1),(36,1)}
      26:{2,5,6}:{(16,1),(35,1),(36,1),(48,1)}
      27:{1,4}:{(17,1),(31,1)}
      28:{1,3,6}:{(17,1),(18,1),(32,1),(37,1)}
      29:{1,3,5}:{(19,1),(20,1),(21,1),(38,1),(39,1),(50,1)}
      30:{1,2,6}:{(20,1),(23,1),(39,1)}
      31:{2,4}:{(21,1),(27,1),(38,1),(40,1)}
      32:{2,3,6}:{(21,1),(23,1),(28,1),(39,1),(41,1),(42,1)}
      33:{3,5}:{(22,1),(40,1),(42,1)}
      34:{2,4,6}:{(22,1),(23,1),(24,1),(42,1),(43,1),(52,1)}
      35:{1,5,6}:{(24,1),(26,1),(43,1),(45,1),(50,1)}
      36:{3,5,6}:{(25,1),(26,1),(44,1),(51,1)}
      37:{1,4,6}:{(27,1),(28,1),(41,1),(45,1)}
      38:{1,4}:{(29,1),(31,1)}
      39:{1,3,6}:{(29,1),(30,1),(32,1),(46,1)}
      40:{3,4}:{(31,1),(33,1)}
      41:{2,4,6}:{(31,1),(32,1),(37,1),(46,1),(47,1),(48,1)}
      42:{3,6}:{(33,1),(34,1)}
      43:{2,5,6}:{(34,1),(35,1),(48,1),(49,1)}
      44:{4,5,6}:{(36,1),(53,1)}
      45:{1,5}:{(37,1),(48,1)}
      46:{1,4,6}:{(38,1),(39,1),(41,1),(50,1)}
      47:{3,4,6}:{(40,1),(41,1),(42,1),(51,1),(52,1)}
      48:{2,5}:{(41,1),(45,1),(50,1),(51,1)}
      49:{3,5,6}:{(42,1),(43,1),(51,1),(52,1)}
      50:{1,5}:{(46,1),(48,1)}
      51:{3,5}:{(47,1),(48,1),(53,1)}
      52:{4,6}:{(49,1),(53,1)}
      53:{4,5}:{(51,1),(52,1)}

259 :   0:{1,3,4,5}:{(1,1),(2,1),(8,1),(31,1),(57,1),(58,1),(68,1),(101,1)}
        1:{2,4,5}:{(0,1),(3,1),(4,1),(5,1),(16,1),(43,1),(85,1)}
        2:{1,3,4,6}:{(0,1),(5,1),(6,1),(17,1),(46,1),(47,1),(87,1)}
        3:{2,3,5}:{(1,1),(7,1),(8,1),(9,1),(101,1)}
        4:{1,4,5}:{(1,1),(8,1),(11,1),(59,1),(104,1)}
        5:{2,4,6}:{(1,1),(2,1),(9,1),(11,1),(12,1),(28,1)}
        6:{1,3,5,6}:{(2,1),(12,1),(13,1),(35,1),(68,1)}
        7:{2,3,4}:{(3,1),(14,1),(43,1),(71,1),(122,1)}
        8:{1,3,5}:{(3,1),(4,1),(14,1),(16,1),(17,1)}
        9:{2,3,6}:{(3,1),(5,1),(17,1),(87,1)}
       10:{1,2,4,5}:{(4,1),(16,1),(19,1),(20,1),(36,1),(43,1),(74,1),(78,1),(80,1),(85,1),(90,1),(113,1),(118,1),(150,1)}
       11:{1,4,6}:{(4,1),(5,1),(17,1),(21,1)}
       12:{2,5,6}:{(5,1),(6,1),(21,1),(85,1)}
       13:{1,4,5,6}:{(6,1),(22,1),(46,1),(90,1),(91,1)}
       14:{1,3,4}:{(7,1),(8,1),(23,1),(52,1),(59,1)}
       15:{2,3,4,6}:{(7,1),(9,1),(24,1),(25,1),(30,1),(63,1),(93,1),(109,1),(110,1),(134,1),(141,1),(145,1)}
       16:{2,5}:{(8,1),(23,1),(28,1)}
       17:{1,3,6}:{(8,1),(9,1),(11,1),(28,1)}
       18:{2,3,5,6}:{(9,1),(12,1),(25,1),(29,1),(30,1),(35,1),(70,1),(110,1)}
       19:{1,3,5}:{(10,1),(27,1),(31,1),(32,1),(52,1),(101,1),(164,1)}
       20:{1,2,4,6}:{(10,1),(11,1),(28,1),(32,1),(33,1),(63,1),(65,1),(69,1),(103,1),(132,1),(163,1)}
       21:{1,5,6}:{(11,1),(12,1),(104,1)}
       22:{2,4,5,6}:{(12,1),(13,1),(30,1),(34,1),(35,1),(65,1),(70,1),(108,1)}
       23:{2,4}:{(14,1),(16,1),(37,1)}
       24:{1,3,4,6}:{(14,1),(15,1),(17,1),(38,1),(39,1),(46,1),(73,1),(81,1),(87,1),(118,1),(122,1),(131,1),(157,1),(161,1)}
       25:{2,3,5}:{(15,1),(39,1),(40,1),(85,1),(130,1),(160,1)}
       26:{1,2,5}:{(16,1),(36,1),(41,1),(42,1),(113,1)}
       27:{2,3,5}:{(16,1),(19,1),(37,1),(41,1),(43,1),(44,1),(71,1),(85,1),(113,1)}
       28:{2,6}:{(16,1),(17,1)}
       29:{1,3,5,6}:{(17,1),(18,1),(21,1),(39,1),(45,1),(46,1),(87,1),(91,1),(131,1)}
       30:{2,4,6}:{(18,1),(40,1),(46,1),(47,1)}
       31:{1,3,4}:{(19,1),(43,1),(118,1),(122,1),(151,1)}
       32:{1,3,6}:{(19,1),(20,1),(44,1),(87,1),(173,1)}
       33:{1,2,5,6}:{(20,1),(21,1),(45,1),(50,1),(74,1),(85,1),(125,1),(149,1),(162,1)}
       34:{1,4,5,6}:{(21,1),(22,1),(46,1),(51,1),(126,1)}
       35:{3,5,6}:{(22,1),(47,1),(87,1),(130,1)}
       36:{1,2,4}:{(23,1),(26,1),(52,1),(59,1),(92,1)}
       37:{2,3}:{(23,1),(52,1)}
       38:{2,4,6}:{(23,1),(24,1),(28,1),(55,1),(56,1),(100,1),(148,1),(170,1)}
       39:{1,3,5}:{(24,1),(25,1),(56,1),(57,1),(101,1),(104,1),(172,1)}
       40:{2,4,5}:{(25,1),(30,1),(57,1),(58,1),(134,1)}
       41:{1,3,5}:{(26,1),(27,1),(52,1),(59,1),(60,1),(104,1)}
       42:{1,2,6}:{(26,1),(28,1),(60,1),(132,1)}
       43:{2,4}:{(27,1),(31,1),(59,1)}
       44:{2,3,6}:{(27,1),(28,1),(32,1),(60,1),(63,1),(132,1)}
       45:{2,5,6}:{(28,1),(29,1),(56,1),(65,1),(148,1)}
       46:{1,4,6}:{(29,1),(30,1),(57,1),(65,1)}
       47:{3,4,6}:{(30,1),(35,1),(58,1)}
       48:{1,3,4,5}:{(31,1),(62,1),(67,1),(68,1),(94,1),(136,1),(140,1),(164,1)}
       49:{1,3,4,6}:{(31,1),(32,1),(63,1),(68,1),(69,1),(109,1)}
       50:{1,3,5,6}:{(32,1),(33,1),(64,1),(68,1),(69,1),(96,1),(146,1),(172,1)}
       51:{1,3,5,6}:{(34,1),(35,1),(66,1),(70,1),(144,1)}
       52:{1,3}:{(36,1),(37,1),(71,1)}
       53:{1,2,4,6}:{(36,1),(38,1),(42,1),(73,1),(74,1),(81,1),(114,1),(118,1),(161,1),(162,1),(178,1)}
       54:{2,3,4}:{(37,1),(43,1),(72,1),(75,1),(151,1)}
       55:{2,3,6}:{(37,1),(38,1),(73,1),(77,1),(87,1),(179,1)}
       56:{2,5}:{(38,1),(39,1)}
       57:{1,4,5}:{(39,1),(40,1),(46,1),(78,1),(118,1)}
       58:{3,4,5}:{(40,1),(47,1),(130,1),(151,1)}
       59:{1,4}:{(41,1),(43,1)}
       60:{1,3,6}:{(41,1),(42,1),(44,1),(81,1)}
       61:{1,2,5,6}:{(42,1),(45,1),(74,1),(82,1),(83,1),(91,1),(149,1),(160,1),(180,1)}
       62:{2,4,5}:{(43,1),(48,1),(75,1),(80,1),(84,1),(85,1),(113,1)}
       63:{2,4,6}:{(43,1),(44,1),(49,1),(81,1),(85,1)}
       64:{2,3,5,6}:{(44,1),(45,1),(50,1),(77,1),(82,1),(85,1),(86,1),(87,1),(115,1),(128,1),(130,1),(149,1),(160,1),(173,1)}
       65:{2,4,6}:{(45,1),(46,1),(78,1),(87,1)}
       66:{1,3,4,6}:{(46,1),(47,1),(51,1),(79,1),(87,1),(88,1),(131,1)}
       67:{1,3,4,6}:{(48,1),(84,1),(89,1),(116,1),(152,1),(156,1),(173,1)}
       68:{1,3,5}:{(49,1),(85,1),(90,1),(130,1)}
       69:{1,4,6}:{(50,1),(86,1),(90,1),(118,1)}
       70:{2,5,6}:{(51,1),(88,1),(91,1),(160,1)}
       71:{2,3}:{(52,1),(92,1)}
       72:{1,3,4}:{(52,1),(54,1),(59,1),(92,1),(94,1)}
       73:{1,3,6}:{(52,1),(53,1),(55,1),(93,1),(96,1),(185,1)}
       74:{1,2,5}:{(53,1),(56,1),(96,1),(104,1),(133,1),(172,1)}
       75:{2,3,5}:{(54,1),(62,1),(94,1),(98,1),(164,1)}
       76:{2,3,4,6}:{(54,1),(55,1),(63,1),(95,1),(98,1),(99,1),(100,1),(109,1),(139,1),(145,1),(165,1),(181,1)}
       77:{2,3,5}:{(55,1),(56,1),(96,1),(100,1),(101,1)}
       78:{2,4,5}:{(56,1),(57,1),(65,1),(100,1),(101,1)}
       79:{1,3,4,5}:{(57,1),(58,1),(66,1),(101,1),(102,1),(137,1),(142,1),(144,1)}
       80:{1,4,5}:{(59,1),(62,1),(94,1),(103,1),(104,1)}
       81:{1,4,6}:{(59,1),(60,1),(63,1),(104,1)}
       82:{1,3,5,6}:{(60,1),(61,1),(64,1),(96,1),(104,1),(105,1),(106,1),(144,1)}
       83:{1,2,4,6}:{(61,1),(65,1),(97,1),(105,1),(106,1),(111,1),(145,1),(148,1),(163,1),(184,1),(189,1)}
       84:{2,4,6}:{(62,1),(67,1),(98,1),(103,1),(107,1),(132,1)}
       85:{2,5}:{(63,1),(68,1),(104,1)}
       86:{2,4,6}:{(64,1),(69,1),(100,1),(105,1),(108,1),(109,1),(134,1)}
       87:{3,6}:{(65,1),(101,1)}
       88:{2,4,6}:{(66,1),(70,1),(102,1),(110,1),(111,1),(148,1)}
       89:{1,3,5,6}:{(67,1),(68,1),(107,1),(112,1),(147,1)}
       90:{1,4,5}:{(68,1),(69,1),(108,1),(172,1)}
       91:{1,5,6}:{(70,1),(111,1),(172,1)}
       92:{2,4}:{(71,1),(72,1),(113,1)}
       93:{2,3,6}:{(71,1),(73,1),(114,1),(115,1),(173,1),(188,1)}
       94:{1,3,5}:{(72,1),(75,1),(80,1),(113,1),(116,1)}
       95:{1,3,4,6}:{(72,1),(73,1),(76,1),(81,1),(114,1),(116,1),(117,1),(118,1),(151,1),(152,1),(161,1),(173,1),(175,1),(186,1)}
       96:{1,3,5}:{(73,1),(74,1),(77,1),(115,1),(118,1)}
       97:{1,2,4,5}:{(74,1),(78,1),(83,1),(118,1),(119,1),(124,1),(126,1),(150,1),(154,1),(158,1),(160,1),(177,1),(178,1),(187,1)}
       98:{2,3,6}:{(75,1),(84,1),(116,1),(173,1)}
       99:{2,3,5}:{(76,1),(85,1),(117,1),(121,1),(130,1),(160,1)}
      100:{2,4}:{(77,1),(118,1),(122,1)}
      101:{3,5}:{(78,1),(87,1),(122,1)}
      102:{2,4,5}:{(79,1),(88,1),(123,1),(124,1),(154,1),(158,1),(160,1)}
      103:{1,4,6}:{(80,1),(84,1),(116,1),(125,1)}
      104:{1,5}:{(81,1),(85,1)}
      105:{1,4,6}:{(82,1),(86,1),(118,1),(126,1)}
      106:{1,3,6}:{(83,1),(87,1),(119,1),(128,1),(173,1)}
      107:{2,5,6}:{(84,1),(85,1),(89,1),(125,1)}
      108:{2,4,5}:{(85,1),(86,1),(90,1),(126,1),(130,1),(160,1)}
      109:{3,4,6}:{(86,1),(87,1),(122,1),(130,1),(151,1),(173,1)}
      110:{2,3,6}:{(87,1),(88,1),(123,1),(131,1)}
      111:{1,4,6}:{(88,1),(91,1),(124,1),(131,1)}
      112:{1,4,5,6}:{(89,1),(90,1),(129,1),(152,1),(180,1)}
      113:{2,5}:{(92,1),(94,1),(132,1)}
      114:{2,4,6}:{(92,1),(93,1),(95,1),(132,1),(133,1),(134,1),(183,1),(189,1)}
      115:{2,3,5}:{(93,1),(96,1),(133,1),(134,1),(164,1)}
      116:{1,3,6}:{(94,1),(98,1),(103,1),(132,1)}
      117:{1,3,5}:{(95,1),(99,1),(104,1),(133,1),(136,1),(164,1),(172,1)}
      118:{1,4}:{(96,1),(100,1),(134,1)}
      119:{1,3,5}:{(97,1),(101,1),(106,1),(137,1),(138,1),(164,1),(185,1)}
      120:{2,3,5,6}:{(98,1),(99,1),(107,1),(135,1),(139,1),(147,1),(171,1),(181,1)}
      121:{2,4,5}:{(99,1),(100,1),(136,1),(139,1),(140,1)}
      122:{3,4}:{(100,1),(101,1)}
      123:{2,3,5}:{(101,1),(102,1),(110,1),(141,1),(142,1)}
      124:{1,4,5}:{(102,1),(111,1),(142,1),(168,1),(172,1)}
      125:{1,5,6}:{(103,1),(104,1),(107,1)}
      126:{1,4,5}:{(104,1),(105,1),(108,1),(144,1)}
      127:{1,3,4,6}:{(105,1),(106,1),(109,1),(137,1),(144,1),(145,1)}
      128:{2,3,6}:{(106,1),(138,1),(145,1),(146,1),(148,1),(189,1)}
      129:{2,4,5,6}:{(107,1),(108,1),(112,1),(139,1),(143,1),(147,1),(163,1),(171,1)}
      130:{3,5}:{(108,1),(109,1)}
      131:{1,3,6}:{(110,1),(111,1),(142,1),(148,1)}
      132:{2,6}:{(113,1),(116,1)}
      133:{2,5}:{(114,1),(117,1)}
      134:{2,4}:{(115,1),(118,1),(151,1)}
      135:{1,3,5,6}:{(116,1),(117,1),(120,1),(125,1),(149,1),(152,1),(173,1),(180,1),(186,1)}
      136:{1,4,5}:{(117,1),(118,1),(121,1),(150,1),(152,1)}
      137:{1,3,4}:{(118,1),(119,1),(122,1),(151,1),(154,1)}
      138:{2,3,5}:{(119,1),(128,1),(154,1),(155,1),(158,1),(160,1),(179,1),(187,1),(188,1)}
      139:{2,4,6}:{(120,1),(121,1),(152,1),(156,1)}
      140:{3,4,5}:{(121,1),(122,1),(130,1),(156,1)}
      141:{2,3,4}:{(122,1),(123,1),(154,1),(157,1),(188,1)}
      142:{1,3,5}:{(123,1),(124,1),(131,1),(157,1),(158,1)}
      143:{1,4,5,6}:{(125,1),(126,1),(129,1),(152,1),(159,1)}
      144:{1,3,5}:{(126,1),(127,1),(130,1),(160,1)}
      145:{2,4,6}:{(127,1),(128,1),(154,1),(160,1),(161,1)}
      146:{1,3,6}:{(128,1),(155,1),(161,1),(162,1)}
      147:{3,5,6}:{(129,1),(130,1),(156,1),(173,1)}
      148:{2,6}:{(131,1),(158,1)}
      149:{2,5,6}:{(132,1),(133,1),(135,1),(163,1),(189,1)}
      150:{2,4,5}:{(133,1),(134,1),(136,1),(163,1),(164,1)}
      151:{3,4}:{(134,1),(164,1)}
      152:{1,4,6}:{(135,1),(136,1),(139,1),(163,1)}
      153:{1,3,4,5}:{(136,1),(137,1),(140,1),(144,1),(164,1),(166,1),(167,1),(182,1)}
      154:{2,4}:{(137,1),(138,1),(168,1)}
      155:{1,3,5}:{(138,1),(146,1),(168,1),(169,1),(172,1),(185,1)}
      156:{3,4,6}:{(139,1),(140,1),(147,1)}
      157:{1,3,4}:{(141,1),(142,1),(168,1),(170,1),(185,1)}
      158:{2,5}:{(142,1),(148,1),(170,1)}
      159:{1,3,5,6}:{(143,1),(144,1),(147,1),(166,1),(171,1)}
      160:{2,5}:{(144,1),(145,1),(172,1)}
      161:{1,4,6}:{(145,1),(146,1),(168,1),(172,1)}
      162:{1,2,6}:{(146,1),(148,1),(169,1),(189,1)}
      163:{2,4,6}:{(149,1),(150,1),(152,1),(173,1)}
      164:{3,5}:{(150,1),(151,1),(173,1)}
      165:{2,3,4}:{(151,1),(154,1),(174,1),(175,1),(179,1)}
      166:{1,3,4,6}:{(152,1),(153,1),(156,1),(159,1),(173,1),(176,1),(186,1)}
      167:{2,4,5}:{(153,1),(154,1),(160,1),(174,1),(176,1),(177,1),(187,1)}
      168:{1,4}:{(154,1),(155,1)}
      169:{1,2,5}:{(155,1),(158,1),(162,1),(178,1),(187,1)}
      170:{2,4}:{(157,1),(158,1),(179,1)}
      171:{2,5,6}:{(159,1),(160,1),(176,1),(180,1)}
      172:{1,5}:{(160,1),(161,1)}
      173:{3,6}:{(163,1),(164,1)}
      174:{2,3,5}:{(164,1),(165,1),(167,1),(181,1),(182,1)}
      175:{1,3,4}:{(165,1),(168,1),(182,1),(183,1),(185,1)}
      176:{2,4,6}:{(166,1),(167,1),(171,1),(181,1),(184,1),(189,1)}
      177:{1,4,5}:{(167,1),(168,1),(172,1),(182,1),(184,1)}
      178:{1,2,4}:{(168,1),(169,1),(170,1),(183,1),(185,1)}
      179:{2,3}:{(170,1),(185,1)}
      180:{1,5,6}:{(171,1),(172,1),(184,1)}
      181:{2,3,6}:{(173,1),(174,1),(176,1),(186,1)}
      182:{1,3,5}:{(174,1),(175,1),(177,1),(186,1),(187,1)}
      183:{2,4}:{(175,1),(187,1),(188,1)}
      184:{1,4,6}:{(176,1),(177,1),(180,1),(186,1)}
      185:{1,3}:{(178,1),(179,1),(188,1)}
      186:{1,3,6}:{(181,1),(182,1),(184,1),(189,1)}
      187:{2,5}:{(182,1),(183,1),(189,1)}
      188:{2,3}:{(183,1),(185,1)}
      189:{2,6}:{(186,1),(187,1)}

260 :   0:{2,4,5,6}:{(2,1),(3,1),(17,1),(20,1),(77,1),(120,1)}
        1:{2,3,4,6}:{(5,1),(6,1),(20,1),(41,1),(42,1),(43,1),(80,1),(119,1),(126,1)}
        2:{1,4,5,6}:{(0,1),(7,1),(8,1),(28,1),(33,1),(57,1),(107,1)}
        3:{3,5,6}:{(0,1),(10,1),(97,1),(138,1)}
        4:{3,4,5}:{(10,1),(12,1),(101,1),(138,1)}
        5:{2,3,5}:{(1,1),(12,1),(13,1),(138,1),(145,1)}
        6:{1,3,4,6}:{(1,1),(13,1),(14,1),(32,1),(33,1),(59,1),(62,1),(67,1),(69,1),(71,1),(144,1)}
        7:{2,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(50,1),(91,1)}
        8:{1,3,5,6}:{(2,1),(3,1),(15,1),(16,1),(17,1),(127,1)}
        9:{1,3,4,5}:{(4,1),(16,1),(18,1),(22,1),(38,1),(46,1),(52,1),(75,1),(87,1),(116,1),(127,1)}
       10:{3,4,6}:{(3,1),(4,1),(20,1)}
       11:{2,3,5,6}:{(3,1),(5,1),(17,1),(20,1),(21,1),(43,1)}
       12:{2,4,5}:{(4,1),(5,1),(20,1),(22,1),(80,1)}
       13:{1,3,5}:{(5,1),(6,1),(22,1),(23,1),(52,1),(159,1)}
       14:{2,4,6}:{(6,1),(23,1),(24,1),(53,1),(79,1),(82,1)}
       15:{3,5,6}:{(7,1),(25,1),(69,1),(112,1)}
       16:{1,3,4,6}:{(8,1),(9,1),(10,1),(25,1),(27,1),(33,1),(57,1),(62,1),(69,1),(97,1)}
       17:{2,5,6}:{(8,1),(27,1),(28,1),(145,1)}
       18:{2,4,5}:{(9,1),(27,1),(29,1),(30,1),(65,1),(109,1),(145,1)}
       19:{1,2,4,6}:{(14,1),(31,1),(32,1),(61,1),(67,1),(99,1),(104,1),(144,1)}
       20:{2,4,6}:{(10,1),(11,1),(12,1),(33,1)}
       21:{1,3,5,6}:{(11,1),(13,1),(28,1),(33,1),(34,1),(62,1),(69,1)}
       22:{1,4,5}:{(12,1),(13,1),(33,1),(35,1),(67,1)}
       23:{2,5}:{(13,1),(14,1)}
       24:{2,3,6}:{(14,1),(32,1),(36,1),(69,1),(100,1)}
       25:{3,4,6}:{(15,1),(38,1),(39,1)}
       26:{2,3,5,6}:{(15,1),(17,1),(39,1),(40,1),(43,1),(74,1)}
       27:{2,4,6}:{(16,1),(17,1),(18,1),(43,1),(44,1),(82,1)}
       28:{1,5,6}:{(17,1),(44,1),(159,1)}
       29:{2,3,5}:{(18,1),(41,1),(43,1),(46,1),(52,1),(116,1)}
       30:{1,4,5}:{(18,1),(44,1),(46,1),(129,1),(159,1)}
       31:{1,2,5}:{(19,1),(23,1),(48,1),(81,1),(159,1)}
       32:{1,3,6}:{(19,1),(24,1),(42,1),(48,1),(121,1)}
       33:{1,4,6}:{(20,1),(21,1),(22,1),(50,1)}
       34:{2,5,6}:{(21,1),(23,1),(50,1),(82,1)}
       35:{2,4,5}:{(22,1),(23,1),(50,1),(52,1),(53,1)}
       36:{2,3,5}:{(23,1),(24,1),(48,1),(52,1),(53,1)}
       37:{2,3,4,6}:{(24,1),(49,1),(53,1),(54,1),(90,1),(93,1),(122,1),(126,1),(158,1)}
       38:{3,4,5}:{(25,1),(55,1),(112,1),(178,1)}
       39:{2,4,6}:{(25,1),(26,1),(55,1),(57,1)}
       40:{1,3,5,6}:{(26,1),(28,1),(57,1),(58,1),(62,1),(94,1),(97,1)}
       41:{2,3,4}:{(29,1),(59,1),(71,1),(109,1),(135,1),(140,1)}
       42:{2,3,6}:{(32,1),(60,1),(61,1),(140,1),(143,1)}
       43:{2,3,6}:{(27,1),(29,1),(62,1),(69,1),(97,1)}
       44:{1,4,6}:{(27,1),(28,1),(30,1),(62,1)}
       45:{1,2,5,6}:{(28,1),(31,1),(34,1),(58,1),(63,1),(64,1),(103,1),(104,1),(133,1),(145,1),(171,1),(181,1)}
       46:{1,3,5}:{(29,1),(30,1),(59,1),(62,1),(65,1)}
       47:{1,2,4,5}:{(30,1),(31,1),(35,1),(63,1),(65,1),(66,1),(67,1),(95,1),(99,1),(102,1),(107,1),(109,1),(133,1),(145,1),(147,1),(163,1),(169,1),(179,1)}
       48:{1,3,5}:{(31,1),(32,1),(36,1),(60,1),(67,1)}
       49:{1,3,4,6}:{(32,1),(37,1),(61,1),(67,1),(68,1),(101,1),(111,1),(141,1),(143,1),(144,1),(170,1)}
       50:{2,4,6}:{(33,1),(34,1),(35,1),(69,1)}
       51:{2,3,5,6}:{(34,1),(36,1),(64,1),(69,1),(70,1),(105,1),(112,1),(145,1),(162,1),(181,1),(184,1)}
       52:{3,5}:{(35,1),(69,1),(71,1)}
       53:{2,4}:{(36,1),(67,1),(71,1)}
       54:{2,3,5}:{(37,1),(68,1),(72,1),(112,1),(145,1)}
       55:{2,4,5}:{(38,1),(39,1),(74,1),(75,1),(172,1)}
       56:{2,3,4,6}:{(39,1),(41,1),(43,1),(74,1),(76,1),(90,1),(126,1),(152,1),(172,1)}
       57:{1,4,6}:{(39,1),(40,1),(75,1),(77,1)}
       58:{2,5,6}:{(40,1),(77,1),(82,1),(115,1)}
       59:{1,3,4}:{(41,1),(46,1),(79,1),(121,1),(129,1)}
       60:{2,3,5}:{(42,1),(48,1),(80,1),(81,1),(123,1)}
       61:{2,4,6}:{(42,1),(49,1),(80,1),(81,1),(156,1),(177,1)}
       62:{1,3,6}:{(43,1),(44,1),(46,1),(82,1)}
       63:{1,2,4,6}:{(44,1),(45,1),(47,1),(50,1),(77,1),(82,1),(83,1),(84,1),(124,1),(126,1),(161,1),(177,1),(183,1)}
       64:{1,3,5,6}:{(45,1),(48,1),(51,1),(78,1),(83,1),(84,1),(125,1),(127,1),(149,1),(159,1)}
       65:{2,5}:{(46,1),(79,1),(82,1)}
       66:{1,3,5}:{(47,1),(52,1),(83,1),(86,1),(87,1),(116,1),(121,1),(123,1),(182,1)}
       67:{1,4}:{(48,1),(53,1),(80,1)}
       68:{1,3,5}:{(49,1),(54,1),(81,1),(88,1),(123,1),(159,1)}
       69:{3,6}:{(50,1),(52,1)}
       70:{2,4,6}:{(51,1),(53,1),(84,1),(90,1),(91,1),(172,1)}
       71:{3,4}:{(52,1),(53,1)}
       72:{2,4,5}:{(53,1),(54,1),(88,1),(92,1),(93,1)}
       73:{2,3,5,6}:{(54,1),(89,1),(93,1),(132,1),(158,1),(160,1)}
       74:{2,3,5}:{(55,1),(56,1),(94,1),(112,1),(145,1)}
       75:{1,4,5}:{(55,1),(57,1),(94,1),(95,1),(163,1)}
       76:{1,3,4,6}:{(56,1),(57,1),(59,1),(62,1),(94,1),(96,1),(97,1),(135,1),(136,1),(144,1),(163,1)}
       77:{2,4,6}:{(57,1),(58,1),(95,1),(97,1)}
       78:{2,3,5,6}:{(58,1),(60,1),(64,1),(97,1),(98,1),(103,1),(105,1),(134,1),(138,1),(143,1),(145,1)}
       79:{2,4}:{(59,1),(65,1),(100,1)}
       80:{2,4}:{(60,1),(67,1),(101,1)}
       81:{2,5}:{(61,1),(68,1)}
       82:{2,6}:{(62,1),(65,1)}
       83:{1,3,6}:{(63,1),(66,1),(69,1),(97,1),(105,1),(143,1),(184,1)}
       84:{1,4,6}:{(64,1),(67,1),(70,1),(98,1),(107,1),(163,1)}
       85:{1,2,5}:{(65,1),(99,1),(104,1),(108,1),(169,1)}
       86:{2,3,5}:{(65,1),(66,1),(100,1),(105,1),(108,1),(109,1),(140,1),(145,1),(169,1)}
       87:{1,3,4}:{(66,1),(67,1),(71,1),(101,1),(109,1),(135,1),(163,1),(178,1)}
       88:{1,4,5}:{(67,1),(68,1),(72,1),(102,1),(111,1)}
       89:{1,3,5,6}:{(68,1),(73,1),(103,1),(111,1),(143,1),(170,1),(171,1)}
       90:{3,4,6}:{(69,1),(70,1),(71,1),(112,1),(178,1),(184,1)}
       91:{2,4,5}:{(70,1),(107,1),(112,1),(145,1)}
       92:{3,4,5}:{(71,1),(72,1),(112,1),(114,1)}
       93:{2,4,6}:{(72,1),(73,1),(111,1),(114,1)}
       94:{1,3,5}:{(74,1),(75,1),(76,1),(115,1),(116,1),(159,1)}
       95:{2,4,5}:{(75,1),(77,1),(115,1),(116,1),(150,1)}
       96:{2,4,6}:{(76,1),(79,1),(82,1),(115,1),(118,1),(150,1)}
       97:{3,6}:{(77,1),(116,1)}
       98:{2,4,6}:{(78,1),(80,1),(84,1),(119,1),(120,1),(150,1)}
       99:{1,2,4}:{(79,1),(85,1),(121,1),(129,1),(156,1)}
      100:{2,3}:{(79,1),(121,1)}
      101:{3,4}:{(80,1),(123,1)}
      102:{2,4,5}:{(80,1),(81,1),(88,1),(123,1),(124,1)}
      103:{2,5,6}:{(81,1),(89,1),(124,1),(177,1)}
      104:{1,2,6}:{(82,1),(85,1),(125,1),(177,1)}
      105:{2,3,6}:{(82,1),(83,1),(86,1),(125,1),(126,1),(177,1)}
      106:{1,3,4,6}:{(83,1),(84,1),(87,1),(90,1),(119,1),(126,1),(127,1)}
      107:{1,4,5}:{(84,1),(91,1),(120,1),(127,1),(159,1)}
      108:{1,3,5}:{(85,1),(86,1),(121,1),(125,1),(129,1),(159,1)}
      109:{2,4}:{(86,1),(87,1),(129,1)}
      110:{1,3,4,5}:{(87,1),(88,1),(92,1),(123,1),(127,1),(130,1),(131,1),(151,1),(157,1),(173,1),(182,1)}
      111:{1,4,6}:{(88,1),(89,1),(93,1),(124,1)}
      112:{3,5}:{(90,1),(91,1)}
      113:{2,4,5,6}:{(91,1),(93,1),(128,1),(132,1),(160,1),(183,1)}
      114:{3,4,6}:{(92,1),(93,1),(132,1)}
      115:{2,5}:{(94,1),(96,1)}
      116:{3,5}:{(95,1),(97,1),(135,1)}
      117:{1,2,4,6}:{(96,1),(99,1),(104,1),(133,1),(136,1),(144,1),(163,1),(166,1)}
      118:{2,3,6}:{(96,1),(97,1),(100,1),(134,1),(136,1)}
      119:{3,4,6}:{(97,1),(98,1),(101,1),(135,1),(138,1),(143,1)}
      120:{2,4,5}:{(98,1),(107,1),(138,1),(145,1)}
      121:{1,3}:{(99,1),(100,1),(140,1)}
      122:{2,3,4}:{(100,1),(101,1),(109,1),(141,1),(142,1),(178,1)}
      123:{3,5}:{(101,1),(102,1),(143,1)}
      124:{2,4,6}:{(102,1),(103,1),(111,1),(143,1)}
      125:{1,3,6}:{(104,1),(105,1),(108,1),(144,1)}
      126:{2,4,6}:{(105,1),(106,1),(109,1),(144,1),(145,1)}
      127:{1,3,5}:{(106,1),(107,1),(112,1),(138,1),(145,1)}
      128:{1,4,5,6}:{(107,1),(111,1),(113,1),(139,1),(146,1),(171,1),(180,1)}
      129:{1,4}:{(108,1),(109,1)}
      130:{2,4,5}:{(109,1),(110,1),(142,1),(145,1),(147,1),(148,1),(169,1)}
      131:{1,3,4,6}:{(110,1),(111,1),(114,1),(143,1),(146,1),(148,1),(165,1),(170,1),(180,1),(184,1)}
      132:{3,5,6}:{(112,1),(113,1),(114,1),(184,1)}
      133:{1,2,5}:{(115,1),(117,1),(149,1),(159,1),(175,1)}
      134:{2,3,5}:{(115,1),(116,1),(118,1),(149,1),(150,1)}
      135:{3,4}:{(116,1),(150,1)}
      136:{1,3,6}:{(117,1),(118,1),(121,1),(149,1),(152,1)}
      137:{2,3,4,6}:{(118,1),(119,1),(122,1),(126,1),(150,1),(153,1),(154,1),(158,1),(174,1)}
      138:{3,5}:{(119,1),(120,1)}
      139:{2,4,5,6}:{(120,1),(124,1),(128,1),(155,1),(160,1),(174,1)}
      140:{2,3}:{(121,1),(156,1)}
      141:{1,3,4}:{(121,1),(122,1),(129,1),(156,1),(157,1)}
      142:{2,3,5}:{(122,1),(123,1),(130,1),(157,1),(158,1),(182,1)}
      143:{3,6}:{(123,1),(124,1)}
      144:{1,4,6}:{(125,1),(126,1),(129,1),(159,1)}
      145:{2,5}:{(126,1),(127,1),(159,1)}
      146:{1,3,5,6}:{(127,1),(128,1),(131,1),(132,1),(155,1),(160,1)}
      147:{1,4,5}:{(129,1),(130,1),(157,1),(159,1),(161,1)}
      148:{2,4,6}:{(130,1),(131,1),(158,1),(160,1),(161,1),(177,1)}
      149:{1,3,5}:{(133,1),(134,1),(136,1),(162,1),(163,1)}
      150:{2,4}:{(134,1),(135,1),(163,1)}
      151:{3,4,5}:{(135,1),(138,1),(164,1),(165,1)}
      152:{2,3,6}:{(136,1),(140,1),(162,1),(166,1),(184,1)}
      153:{1,3,4,6}:{(136,1),(137,1),(141,1),(144,1),(163,1),(166,1),(167,1),(170,1),(178,1),(180,1),(184,1)}
      154:{2,3,5}:{(137,1),(138,1),(145,1),(164,1),(167,1)}
      155:{3,5,6}:{(138,1),(139,1),(143,1),(165,1)}
      156:{2,4}:{(140,1),(141,1),(169,1)}
      157:{1,3,5}:{(141,1),(142,1),(147,1),(169,1),(170,1)}
      158:{2,3,6}:{(142,1),(143,1),(148,1),(170,1),(184,1)}
      159:{1,5}:{(144,1),(145,1)}
      160:{2,5,6}:{(145,1),(146,1),(148,1),(171,1)}
      161:{1,4,6}:{(147,1),(148,1),(170,1),(171,1)}
      162:{2,3,5}:{(149,1),(152,1),(172,1),(175,1),(182,1)}
      163:{1,4}:{(149,1),(150,1),(172,1)}
      164:{2,4,5}:{(150,1),(151,1),(154,1),(173,1),(174,1)}
      165:{3,4,6}:{(151,1),(155,1),(174,1)}
      166:{2,4,6}:{(152,1),(153,1),(156,1),(172,1),(175,1),(177,1)}
      167:{1,3,5}:{(153,1),(154,1),(159,1),(173,1),(175,1),(182,1)}
      168:{2,3,5,6}:{(154,1),(155,1),(158,1),(160,1),(174,1),(176,1)}
      169:{2,5}:{(156,1),(157,1),(177,1)}
      170:{1,3,6}:{(157,1),(158,1),(161,1),(177,1)}
      171:{1,5,6}:{(159,1),(160,1),(161,1)}
      172:{2,4}:{(162,1),(163,1),(178,1)}
      173:{1,4,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
      174:{2,4,6}:{(164,1),(165,1),(168,1),(180,1)}
      175:{2,5}:{(166,1),(167,1)}
      176:{1,3,5,6}:{(167,1),(168,1),(170,1),(171,1),(180,1),(181,1),(184,1)}
      177:{2,6}:{(169,1),(170,1)}
      178:{3,4}:{(172,1),(182,1)}
      179:{2,4,5}:{(172,1),(173,1),(175,1),(182,1),(183,1)}
      180:{1,4,6}:{(173,1),(174,1),(176,1),(183,1)}
      181:{2,5,6}:{(175,1),(176,1),(177,1),(183,1)}
      182:{3,5}:{(178,1),(179,1),(184,1)}
      183:{2,4,6}:{(179,1),(180,1),(181,1),(184,1)}
      184:{3,6}:{(182,1),(183,1)}

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

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

263 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(12,1),(17,1),(25,1),(26,1),(33,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(17,1)}
       2:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(18,1),(20,1),(29,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(22,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1),(11,1)}
       5:{1,4,6}:{(1,1),(9,1),(11,1),(32,1)}
       6:{2,3,6}:{(2,1),(12,1),(13,1),(17,1),(28,1),(33,1)}
       7:{1,4,6}:{(2,1),(12,1),(14,1),(25,1)}
       8:{2,5}:{(2,1),(3,1),(14,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(25,1),(35,1)}
      10:{1,5,6}:{(4,1),(14,1),(16,1)}
      11:{2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(28,1)}
      12:{1,3,6}:{(6,1),(7,1),(18,1),(19,1),(32,1)}
      13:{2,3,5}:{(6,1),(8,1),(19,1),(20,1),(22,1),(31,1),(36,1)}
      14:{1,5}:{(7,1),(8,1)}
      15:{2,4,5}:{(8,1),(9,1),(11,1),(20,1),(21,1),(22,1),(29,1),(31,1)}
      16:{1,4,6}:{(10,1),(11,1),(21,1),(23,1)}
      17:{3,6}:{(11,1),(22,1)}
      18:{2,6}:{(12,1),(24,1)}
      19:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1),(33,1),(35,1),(38,1)}
      20:{2,4}:{(13,1),(25,1),(26,1)}
      21:{1,4,5}:{(14,1),(15,1),(16,1),(25,1),(27,1)}
      22:{3,5}:{(15,1),(17,1),(26,1),(33,1)}
      23:{1,3,6}:{(16,1),(17,1),(27,1),(28,1)}
      24:{2,5}:{(18,1),(19,1),(29,1),(39,1)}
      25:{1,4}:{(19,1),(20,1),(29,1)}
      26:{3,4}:{(20,1),(22,1)}
      27:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1)}
      28:{2,6}:{(23,1),(31,1),(32,1)}
      29:{2,4}:{(24,1),(25,1),(33,1)}
      30:{1,3,4}:{(25,1),(26,1),(27,1),(33,1),(34,1),(38,1)}
      31:{2,5}:{(27,1),(28,1),(34,1),(35,1)}
      32:{1,6}:{(28,1),(35,1)}
      33:{3}:{(29,1)}
      34:{2,4}:{(30,1),(31,1),(36,1),(37,1),(39,1)}
      35:{1,5}:{(31,1),(32,1),(37,1)}
      36:{2,3}:{(33,1),(34,1),(38,1)}
      37:{1,4}:{(34,1),(35,1),(38,1)}
      38:{1,3}:{(36,1),(37,1),(39,1)}
      39:{2}:{(38,1)}

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

265 :   0:{1,2,5,6}:{(2,1),(3,1),(46,1),(76,1),(85,1),(117,1),(122,1)}
        1:{1,2,4,5}:{(3,1),(4,1),(15,1),(17,1),(45,1),(46,1),(73,1),(80,1),(117,1),(125,1),(153,1)}
        2:{1,3,5,6}:{(0,1),(6,1),(7,1),(9,1),(29,1),(55,1),(94,1),(137,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(7,1),(9,1),(30,1),(64,1),(102,1),(140,1)}
        4:{1,3,5}:{(1,1),(8,1),(9,1),(10,1),(96,1),(143,1)}
        5:{1,2,5,6}:{(11,1),(12,1),(49,1),(71,1),(88,1),(112,1),(122,1)}
        6:{2,3,5,6}:{(2,1),(11,1),(13,1),(18,1),(37,1),(40,1),(46,1),(71,1),(122,1),(126,1),(156,1)}
        7:{1,4,6}:{(2,1),(13,1),(15,1),(153,1)}
        8:{1,3,4}:{(4,1),(17,1),(153,1),(159,1)}
        9:{1,3,6}:{(3,1),(4,1),(18,1),(156,1)}
       10:{2,3,5}:{(4,1),(17,1),(18,1),(19,1),(46,1),(80,1),(84,1)}
       11:{1,3,5,6}:{(5,1),(6,1),(20,1),(22,1),(32,1),(51,1),(66,1),(110,1)}
       12:{1,2,4,6}:{(5,1),(20,1),(21,1),(22,1),(52,1),(131,1),(140,1),(161,1)}
       13:{2,4,6}:{(6,1),(7,1),(20,1),(23,1),(24,1),(144,1)}
       14:{1,3,4,5}:{(8,1),(27,1),(28,1),(29,1),(58,1),(59,1),(104,1),(109,1),(143,1),(146,1)}
       15:{1,4,5}:{(7,1),(23,1),(29,1),(94,1)}
       16:{1,3,4,6}:{(7,1),(8,1),(9,1),(24,1),(29,1),(30,1)}
       17:{2,4}:{(8,1),(10,1),(31,1)}
       18:{2,3,6}:{(9,1),(10,1),(30,1),(32,1),(102,1)}
       19:{1,3,5}:{(10,1),(31,1),(32,1),(33,1),(66,1),(68,1)}
       20:{1,4,6}:{(11,1),(13,1),(34,1),(129,1)}
       21:{1,2,4,5}:{(12,1),(34,1),(36,1),(71,1),(74,1),(88,1),(116,1),(125,1),(129,1),(151,1),(154,1)}
       22:{1,3,6}:{(12,1),(36,1),(37,1),(156,1)}
       23:{2,4,5}:{(13,1),(15,1),(34,1),(40,1),(46,1),(71,1)}
       24:{3,4,6}:{(13,1),(40,1),(156,1),(159,1)}
       25:{2,3,4}:{(17,1),(39,1),(42,1),(84,1),(124,1),(159,1)}
       26:{1,4,5,6}:{(15,1),(38,1),(43,1),(112,1),(121,1),(160,1)}
       27:{1,3,4,6}:{(14,1),(43,1),(44,1),(77,1),(79,1),(121,1),(156,1)}
       28:{2,4,5}:{(14,1),(17,1),(39,1),(44,1),(45,1),(46,1),(80,1),(124,1),(158,1)}
       29:{1,3,5}:{(15,1),(16,1),(40,1),(46,1)}
       30:{2,4,6}:{(16,1),(17,1),(18,1),(46,1),(47,1)}
       31:{1,4}:{(17,1),(19,1)}
       32:{1,3,6}:{(18,1),(19,1),(47,1),(49,1)}
       33:{1,2,5}:{(19,1),(48,1),(49,1),(80,1)}
       34:{1,4,5}:{(20,1),(23,1),(51,1),(66,1)}
       35:{1,3,4,6}:{(20,1),(22,1),(24,1),(51,1),(52,1),(53,1)}
       36:{1,3,5}:{(21,1),(22,1),(53,1),(54,1),(143,1),(168,1)}
       37:{2,3,6}:{(22,1),(52,1),(54,1),(55,1),(161,1)}
       38:{2,4,5,6}:{(23,1),(26,1),(50,1),(56,1),(63,1),(91,1),(100,1),(140,1),(170,1)}
       39:{2,3,5}:{(25,1),(28,1),(57,1),(58,1),(143,1)}
       40:{3,5}:{(23,1),(24,1)}
       41:{2,3,4,6}:{(24,1),(25,1),(30,1),(52,1),(57,1),(60,1),(61,1),(97,1),(100,1),(106,1),(130,1),(142,1),(144,1),(169,1),(179,1)}
       42:{1,3,4}:{(25,1),(31,1),(58,1),(62,1),(68,1),(96,1),(134,1)}
       43:{1,3,5,6}:{(26,1),(27,1),(29,1),(56,1),(63,1),(146,1)}
       44:{2,4,6}:{(27,1),(28,1),(57,1),(63,1),(64,1),(102,1)}
       45:{1,4,5}:{(28,1),(31,1),(58,1),(64,1),(66,1),(134,1),(164,1)}
       46:{2,5}:{(29,1),(30,1),(66,1)}
       47:{1,4,6}:{(30,1),(31,1),(32,1),(66,1)}
       48:{1,2,4}:{(31,1),(33,1),(62,1),(68,1)}
       49:{1,2,6}:{(32,1),(33,1),(102,1)}
       50:{1,4,5,6}:{(34,1),(38,1),(69,1),(85,1),(121,1),(174,1)}
       51:{1,3,5}:{(34,1),(35,1),(40,1),(71,1)}
       52:{2,4,6}:{(35,1),(37,1),(71,1),(72,1),(74,1)}
       53:{1,3,4}:{(36,1),(74,1),(129,1),(159,1)}
       54:{2,3,5}:{(36,1),(37,1),(71,1),(74,1),(75,1),(151,1),(155,1)}
       55:{1,3,6}:{(37,1),(72,1),(75,1),(76,1)}
       56:{3,5,6}:{(38,1),(40,1),(77,1),(156,1),(177,1)}
       57:{2,3,6}:{(39,1),(44,1),(79,1),(156,1)}
       58:{1,3,5}:{(39,1),(42,1),(45,1),(79,1),(80,1)}
       59:{3,4,5}:{(40,1),(77,1),(81,1),(159,1),(177,1)}
       60:{2,3,5}:{(40,1),(41,1),(46,1),(71,1),(81,1),(82,1),(158,1),(177,1),(183,1)}
       61:{1,3,4,6}:{(41,1),(42,1),(47,1),(72,1),(79,1),(82,1),(83,1),(89,1),(118,1),(119,1),(121,1),(129,1),(147,1),(150,1),(153,1),(156,1),(159,1),(182,1)}
       62:{2,4}:{(42,1),(80,1),(84,1)}
       63:{2,5,6}:{(43,1),(44,1),(46,1),(85,1),(158,1)}
       64:{1,4,6}:{(44,1),(45,1),(79,1),(85,1)}
       65:{1,2,4,5}:{(45,1),(48,1),(80,1),(86,1),(87,1),(88,1),(124,1),(125,1),(129,1),(158,1),(160,1)}
       66:{1,5}:{(46,1),(47,1)}
       67:{1,2,4,6}:{(47,1),(48,1),(49,1),(83,1),(88,1),(89,1),(129,1),(154,1),(171,1),(182,1)}
       68:{1,3}:{(48,1),(84,1)}
       69:{1,3,5,6}:{(50,1),(51,1),(56,1),(90,1),(91,1),(180,1)}
       70:{1,3,4,5}:{(51,1),(53,1),(59,1),(90,1),(93,1),(104,1),(135,1),(143,1),(167,1),(180,1)}
       71:{2,5}:{(51,1),(52,1),(94,1)}
       72:{1,4,6}:{(52,1),(55,1),(94,1),(98,1)}
       73:{1,2,4}:{(62,1),(92,1),(96,1),(134,1)}
       74:{2,4}:{(53,1),(54,1),(98,1)}
       75:{1,3,5}:{(54,1),(55,1),(94,1),(98,1),(99,1),(139,1)}
       76:{1,2,6}:{(55,1),(99,1),(161,1)}
       77:{3,4,6}:{(56,1),(59,1),(100,1)}
       78:{2,3,5,6}:{(56,1),(57,1),(60,1),(63,1),(91,1),(100,1),(101,1),(130,1)}
       79:{1,3,6}:{(57,1),(58,1),(64,1),(102,1)}
       80:{2,5}:{(58,1),(62,1),(102,1)}
       81:{2,4,5}:{(59,1),(60,1),(100,1),(104,1),(144,1)}
       82:{1,3,5}:{(60,1),(61,1),(66,1),(94,1),(104,1),(105,1),(143,1),(164,1),(184,1)}
       83:{2,4,6}:{(61,1),(62,1),(102,1),(105,1),(106,1),(138,1),(144,1),(161,1)}
       84:{2,3}:{(62,1),(68,1),(96,1)}
       85:{1,5,6}:{(63,1),(64,1),(66,1),(164,1)}
       86:{1,2,4,6}:{(64,1),(65,1),(102,1),(107,1),(108,1),(140,1),(142,1),(145,1)}
       87:{1,3,5}:{(65,1),(68,1),(103,1),(108,1),(109,1),(143,1)}
       88:{1,2,5}:{(66,1),(67,1),(105,1),(110,1),(184,1)}
       89:{1,3,6}:{(67,1),(68,1),(106,1),(110,1),(168,1)}
       90:{1,3,4,6}:{(69,1),(70,1),(77,1),(111,1),(121,1),(147,1),(156,1)}
       91:{2,5,6}:{(69,1),(71,1),(111,1),(112,1),(183,1)}
       92:{1,2,5}:{(73,1),(80,1),(113,1),(114,1)}
       93:{2,4,5}:{(70,1),(71,1),(74,1),(111,1),(115,1),(116,1),(151,1),(176,1),(183,1)}
       94:{1,5}:{(71,1),(72,1)}
       95:{1,2,4,6}:{(72,1),(73,1),(76,1),(83,1),(113,1),(117,1),(118,1),(120,1),(150,1),(153,1)}
       96:{1,3}:{(73,1),(84,1)}
       97:{2,3,4}:{(74,1),(115,1),(119,1),(155,1),(159,1),(176,1)}
       98:{1,4}:{(74,1),(75,1)}
       99:{1,2,5}:{(75,1),(76,1),(120,1),(151,1)}
      100:{2,4,6}:{(77,1),(78,1),(81,1),(121,1)}
      101:{1,3,5,6}:{(78,1),(79,1),(82,1),(85,1),(112,1),(121,1),(122,1),(147,1),(156,1)}
      102:{2,6}:{(79,1),(80,1)}
      103:{2,3,5}:{(80,1),(84,1),(87,1),(114,1),(123,1),(124,1),(158,1)}
      104:{1,4,5}:{(81,1),(82,1),(121,1),(125,1),(129,1),(153,1)}
      105:{2,5}:{(82,1),(83,1)}
      106:{2,3,6}:{(83,1),(84,1),(89,1),(118,1),(126,1),(155,1),(156,1)}
      107:{1,2,5,6}:{(85,1),(86,1),(88,1),(122,1),(127,1),(158,1),(171,1)}
      108:{1,3,6}:{(86,1),(87,1),(123,1),(156,1)}
      109:{1,3,4}:{(87,1),(124,1),(129,1),(159,1)}
      110:{1,3,5}:{(88,1),(89,1),(126,1),(129,1)}
      111:{2,4,6}:{(90,1),(91,1),(93,1),(130,1),(131,1),(161,1)}
      112:{1,5,6}:{(91,1),(94,1),(131,1),(184,1)}
      113:{1,2,6}:{(92,1),(102,1),(133,1)}
      114:{1,3,5}:{(92,1),(96,1),(103,1),(133,1),(134,1),(164,1)}
      115:{2,3,5}:{(93,1),(97,1),(130,1),(135,1),(143,1)}
      116:{1,4,5}:{(93,1),(94,1),(98,1),(131,1),(135,1),(181,1),(184,1)}
      117:{1,2,5}:{(94,1),(95,1),(105,1),(137,1),(164,1)}
      118:{1,3,6}:{(95,1),(96,1),(106,1),(137,1),(139,1)}
      119:{1,3,4}:{(97,1),(98,1),(135,1),(138,1),(139,1),(168,1),(181,1)}
      120:{1,2,4}:{(98,1),(99,1),(138,1),(139,1)}
      121:{1,4,6}:{(100,1),(101,1),(104,1),(140,1)}
      122:{2,5,6}:{(101,1),(102,1),(105,1),(140,1),(161,1)}
      123:{2,3,6}:{(102,1),(103,1),(108,1),(133,1),(142,1)}
      124:{2,4}:{(103,1),(109,1),(134,1)}
      125:{2,4,5}:{(104,1),(105,1),(140,1),(143,1),(144,1)}
      126:{2,3,5}:{(105,1),(106,1),(110,1),(137,1),(143,1),(144,1)}
      127:{1,3,5,6}:{(107,1),(108,1),(110,1),(141,1),(145,1),(146,1),(178,1),(184,1)}
      128:{1,3,4,6}:{(108,1),(109,1),(142,1),(145,1),(146,1),(169,1)}
      129:{1,4}:{(110,1),(144,1)}
      130:{2,3,6}:{(111,1),(115,1),(147,1),(156,1)}
      131:{1,4,6}:{(111,1),(112,1),(116,1),(147,1)}
      132:{1,2,5,6}:{(112,1),(113,1),(117,1),(122,1),(148,1),(149,1),(183,1)}
      133:{1,3,6}:{(113,1),(114,1),(123,1),(150,1)}
      134:{1,4}:{(114,1),(124,1)}
      135:{1,3,5}:{(115,1),(116,1),(119,1),(147,1),(151,1)}
      136:{1,2,4,5}:{(116,1),(117,1),(120,1),(125,1),(148,1),(151,1),(152,1),(153,1),(174,1),(176,1),(183,1)}
      137:{1,3,5}:{(117,1),(118,1),(126,1),(153,1)}
      138:{2,4}:{(119,1),(151,1),(155,1)}
      139:{1,3}:{(120,1),(155,1)}
      140:{2,4,6}:{(121,1),(122,1),(125,1),(156,1)}
      141:{2,3,5,6}:{(122,1),(123,1),(126,1),(127,1),(149,1),(156,1),(157,1),(158,1),(172,1),(177,1),(183,1)}
      142:{2,4,6}:{(123,1),(124,1),(128,1),(150,1),(158,1)}
      143:{3,5}:{(125,1),(156,1),(159,1)}
      144:{2,4}:{(126,1),(129,1),(153,1),(159,1)}
      145:{1,4,6}:{(127,1),(129,1),(157,1),(160,1)}
      146:{1,3,5}:{(128,1),(158,1),(160,1),(177,1)}
      147:{1,3,6}:{(130,1),(131,1),(135,1),(161,1)}
      148:{1,2,4,6}:{(131,1),(132,1),(136,1),(140,1),(161,1),(162,1),(163,1),(179,1)}
      149:{1,3,5,6}:{(132,1),(133,1),(137,1),(141,1),(162,1),(163,1),(164,1),(180,1)}
      150:{1,4,6}:{(133,1),(134,1),(142,1),(164,1)}
      151:{2,5}:{(135,1),(138,1),(161,1)}
      152:{1,3,5}:{(136,1),(139,1),(143,1),(162,1),(166,1),(167,1)}
      153:{1,4}:{(137,1),(144,1)}
      154:{1,2,4}:{(138,1),(165,1),(168,1),(181,1)}
      155:{2,3}:{(138,1),(139,1),(168,1)}
      156:{3,6}:{(140,1),(143,1)}
      157:{2,4,6}:{(141,1),(144,1),(145,1),(163,1),(169,1),(170,1)}
      158:{2,5}:{(142,1),(146,1),(164,1)}
      159:{3,4}:{(143,1),(144,1)}
      160:{1,4,5}:{(145,1),(146,1),(170,1),(184,1)}
      161:{2,6}:{(147,1),(151,1)}
      162:{1,3,6}:{(148,1),(152,1),(156,1),(172,1)}
      163:{1,4,6}:{(149,1),(153,1),(157,1),(174,1)}
      164:{1,5}:{(150,1),(158,1)}
      165:{1,2,5}:{(151,1),(154,1),(171,1),(175,1)}
      166:{2,3,5}:{(151,1),(152,1),(155,1),(172,1),(175,1),(176,1),(183,1)}
      167:{1,3,4}:{(152,1),(153,1),(159,1),(176,1)}
      168:{1,3}:{(154,1),(155,1)}
      169:{3,4,6}:{(156,1),(157,1),(159,1),(177,1)}
      170:{2,4,5}:{(157,1),(158,1),(160,1),(174,1),(177,1),(183,1)}
      171:{1,2,6}:{(161,1),(165,1),(178,1)}
      172:{2,3,6}:{(161,1),(162,1),(166,1),(178,1),(179,1)}
      173:{1,3,4,6}:{(162,1),(163,1),(167,1),(169,1),(179,1),(180,1)}
      174:{1,4,5}:{(163,1),(164,1),(170,1),(180,1)}
      175:{1,3,5}:{(165,1),(166,1),(168,1),(178,1),(181,1),(184,1)}
      176:{2,4}:{(166,1),(167,1),(181,1)}
      177:{3,5}:{(169,1),(170,1)}
      178:{1,3,6}:{(171,1),(172,1),(175,1),(182,1)}
      179:{2,4,6}:{(172,1),(173,1),(176,1),(182,1),(183,1)}
      180:{1,3,5}:{(173,1),(174,1),(177,1),(183,1)}
      181:{1,4}:{(175,1),(176,1)}
      182:{1,4,6}:{(178,1),(179,1),(181,1),(184,1)}
      183:{2,5}:{(179,1),(180,1),(184,1)}
      184:{1,5}:{(182,1),(183,1)}

266 :  0:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       1:{1,2,5}:{(0,1),(5,1),(17,1),(27,1)}
       2:{1,3,6}:{(0,1),(4,1),(5,1),(44,1)}
       3:{1,2,6}:{(7,1),(8,1),(43,1)}
       4:{2,3,6}:{(2,1),(8,1),(9,1),(10,1),(38,1),(43,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(11,1),(34,1),(42,1)}
       6:{1,3,4,6}:{(2,1),(10,1),(11,1),(12,1),(23,1),(26,1),(38,1)}
       7:{1,2,5}:{(3,1),(13,1),(14,1),(40,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(14,1),(16,1),(17,1),(28,1),(32,1),(40,1)}
      10:{2,4,6}:{(4,1),(6,1),(15,1),(16,1),(17,1)}
      11:{1,4}:{(5,1),(16,1)}
      12:{1,3,5}:{(6,1),(17,1),(18,1),(32,1)}
      13:{1,2,4}:{(7,1),(20,1),(21,1),(35,1)}
      14:{1,3,5}:{(7,1),(8,1),(9,1),(20,1),(21,1),(22,1)}
      15:{1,4,6}:{(8,1),(10,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(11,1),(21,1),(23,1)}
      17:{2,5}:{(10,1),(12,1),(22,1)}
      18:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(42,1)}
      19:{1,3,5,6}:{(12,1),(25,1),(26,1),(38,1)}
      20:{1,3}:{(13,1),(28,1)}
      21:{1,4}:{(14,1),(16,1)}
      22:{1,5}:{(15,1),(17,1)}
      23:{3,4}:{(16,1),(32,1)}
      24:{2,4,5}:{(16,1),(17,1),(18,1),(30,1),(32,1),(33,1),(40,1)}
      25:{2,5,6}:{(17,1),(19,1),(31,1),(33,1)}
      26:{1,4,6}:{(18,1),(19,1),(33,1),(44,1)}
      27:{1,2}:{(34,1)}
      28:{2,3}:{(20,1),(34,1),(35,1)}
      29:{1,3,4}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
      30:{1,4,5}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
      31:{1,5,6}:{(22,1),(25,1),(37,1)}
      32:{3,5}:{(23,1),(24,1),(38,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(37,1),(38,1),(43,1)}
      34:{1,3}:{(27,1),(28,1),(39,1)}
      35:{2,4}:{(28,1),(29,1),(39,1),(40,1)}
      36:{1,3,5}:{(29,1),(30,1),(32,1),(40,1),(41,1)}
      37:{1,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{3,6}:{(32,1),(33,1)}
      39:{1,4}:{(34,1),(35,1),(42,1)}
      40:{2,5}:{(35,1),(36,1),(42,1),(43,1)}
      41:{1,3,6}:{(36,1),(37,1),(38,1),(43,1)}
      42:{1,5}:{(39,1),(40,1),(44,1)}
      43:{2,6}:{(40,1),(41,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

267 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(12,1)}
       1:{1,3,6}:{(0,1),(4,1),(6,1),(44,1)}
       2:{1,2,5}:{(0,1),(6,1),(16,1),(41,1)}
       3:{1,2,6}:{(7,1),(8,1),(42,1)}
       4:{2,3,6}:{(1,1),(7,1),(9,1),(10,1),(37,1),(42,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(25,1),(26,1),(37,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(36,1),(43,1)}
       7:{1,3,6}:{(3,1),(4,1),(13,1),(14,1)}
       8:{1,2,5}:{(3,1),(14,1),(15,1),(39,1)}
       9:{2,4,6}:{(4,1),(5,1),(13,1),(16,1),(17,1)}
      10:{2,3,5}:{(4,1),(6,1),(14,1),(16,1),(17,1),(30,1),(32,1),(39,1)}
      11:{1,3,5}:{(5,1),(16,1),(19,1),(32,1)}
      12:{1,4}:{(6,1),(17,1)}
      13:{1,4,6}:{(7,1),(9,1),(20,1),(21,1)}
      14:{1,3,5}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1)}
      15:{1,2,4}:{(8,1),(21,1),(22,1),(35,1)}
      16:{2,5}:{(9,1),(11,1),(20,1)}
      17:{2,4}:{(10,1),(12,1),(21,1),(25,1)}
      18:{1,3,5,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(43,1)}
      20:{1,5}:{(13,1),(16,1)}
      21:{1,4}:{(14,1),(17,1)}
      22:{1,3}:{(15,1),(30,1)}
      23:{2,5,6}:{(16,1),(18,1),(27,1),(31,1)}
      24:{2,4,5}:{(16,1),(17,1),(19,1),(28,1),(31,1),(32,1),(39,1)}
      25:{3,4}:{(17,1),(32,1)}
      26:{1,4,6}:{(18,1),(19,1),(31,1),(44,1)}
      27:{1,5,6}:{(20,1),(23,1),(33,1)}
      28:{1,4,5}:{(20,1),(21,1),(24,1),(33,1),(34,1)}
      29:{1,3,4}:{(21,1),(22,1),(25,1),(34,1),(35,1)}
      30:{2,3}:{(22,1),(35,1),(36,1)}
      31:{2,4,6}:{(23,1),(24,1),(26,1),(33,1),(37,1),(42,1)}
      32:{3,5}:{(24,1),(25,1),(37,1)}
      33:{1,4,6}:{(27,1),(28,1),(31,1),(38,1)}
      34:{1,3,5}:{(28,1),(29,1),(32,1),(38,1),(39,1)}
      35:{2,4}:{(29,1),(30,1),(39,1),(40,1)}
      36:{1,3}:{(30,1),(40,1),(41,1)}
      37:{3,6}:{(31,1),(32,1)}
      38:{1,3,6}:{(33,1),(34,1),(37,1),(42,1)}
      39:{2,5}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4}:{(35,1),(36,1),(43,1)}
      41:{1,2}:{(36,1)}
      42:{2,6}:{(38,1),(39,1),(44,1)}
      43:{1,5}:{(39,1),(40,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

268 :   0:{1,2,5,6}:{(1,1),(2,1),(37,1),(64,1),(75,1),(105,1),(109,1)}
        1:{1,3,5,6}:{(0,1),(4,1),(6,1),(7,1),(23,1),(45,1),(84,1),(126,1)}
        2:{1,2,4,6}:{(0,1),(5,1),(6,1),(7,1),(24,1),(94,1),(127,1),(133,1)}
        3:{1,2,5,6}:{(8,1),(9,1),(39,1),(62,1),(76,1),(104,1),(109,1)}
        4:{2,3,5,6}:{(1,1),(8,1),(10,1),(14,1),(29,1),(31,1),(37,1),(62,1),(109,1),(110,1),(146,1)}
        5:{1,2,4,5}:{(2,1),(11,1),(12,1),(34,1),(37,1),(73,1),(105,1),(108,1),(111,1),(113,1),(145,1)}
        6:{1,4,6}:{(1,1),(10,1),(12,1),(145,1)}
        7:{1,3,6}:{(2,1),(11,1),(14,1),(146,1)}
        8:{1,3,5,6}:{(3,1),(4,1),(16,1),(17,1),(25,1),(43,1),(56,1),(98,1)}
        9:{1,2,4,6}:{(3,1),(15,1),(16,1),(17,1),(44,1),(122,1),(127,1),(157,1)}
       10:{2,4,6}:{(4,1),(6,1),(16,1),(18,1),(19,1),(130,1)}
       11:{1,3,5}:{(5,1),(7,1),(20,1),(21,1),(128,1),(132,1)}
       12:{1,4,5}:{(6,1),(18,1),(23,1),(84,1)}
       13:{1,3,4,6}:{(6,1),(7,1),(19,1),(20,1),(23,1),(24,1)}
       14:{2,3,6}:{(7,1),(21,1),(24,1),(25,1),(133,1)}
       15:{1,2,4,5}:{(9,1),(26,1),(27,1),(59,1),(62,1),(76,1),(102,1),(108,1),(118,1),(138,1),(140,1)}
       16:{1,4,6}:{(8,1),(10,1),(27,1),(118,1)}
       17:{1,3,6}:{(9,1),(26,1),(29,1),(146,1)}
       18:{2,4,5}:{(10,1),(12,1),(27,1),(31,1),(37,1),(62,1)}
       19:{3,4,6}:{(10,1),(31,1),(146,1),(147,1)}
       20:{1,3,4}:{(11,1),(34,1),(145,1),(147,1)}
       21:{2,3,5}:{(11,1),(14,1),(34,1),(35,1),(37,1),(113,1),(114,1)}
       22:{1,4,5,6}:{(12,1),(30,1),(36,1),(104,1),(107,1),(154,1)}
       23:{1,3,5}:{(12,1),(13,1),(31,1),(37,1)}
       24:{2,4,6}:{(13,1),(14,1),(34,1),(37,1),(38,1)}
       25:{1,3,6}:{(14,1),(35,1),(38,1),(39,1)}
       26:{1,3,5}:{(15,1),(17,1),(40,1),(41,1),(128,1),(156,1)}
       27:{1,4,5}:{(16,1),(18,1),(43,1),(56,1)}
       28:{1,3,4,6}:{(16,1),(17,1),(19,1),(40,1),(43,1),(44,1)}
       29:{2,3,6}:{(17,1),(41,1),(44,1),(45,1),(157,1)}
       30:{2,4,5,6}:{(18,1),(22,1),(42,1),(47,1),(55,1),(83,1),(86,1),(127,1),(163,1)}
       31:{3,5}:{(18,1),(19,1)}
       32:{2,3,4,6}:{(19,1),(24,1),(44,1),(48,1),(49,1),(50,1),(78,1),(86,1),(90,1),(91,1),(119,1),(130,1),(162,1),(166,1),(179,1)}
       33:{1,3,4,5}:{(20,1),(23,1),(46,1),(51,1),(52,1),(87,1),(92,1),(128,1),(136,1),(167,1)}
       34:{2,4}:{(20,1),(21,1),(53,1)}
       35:{1,3,5}:{(21,1),(25,1),(53,1),(54,1),(56,1),(96,1)}
       36:{1,3,5,6}:{(22,1),(23,1),(47,1),(51,1),(55,1),(167,1)}
       37:{2,5}:{(23,1),(24,1),(56,1)}
       38:{1,4,6}:{(24,1),(25,1),(53,1),(56,1)}
       39:{1,2,6}:{(25,1),(54,1),(133,1)}
       40:{1,3,4}:{(26,1),(59,1),(118,1),(147,1)}
       41:{2,3,5}:{(26,1),(29,1),(59,1),(60,1),(62,1),(140,1),(141,1)}
       42:{1,4,5,6}:{(27,1),(30,1),(61,1),(75,1),(107,1),(173,1)}
       43:{1,3,5}:{(27,1),(28,1),(31,1),(62,1)}
       44:{2,4,6}:{(28,1),(29,1),(59,1),(62,1),(63,1)}
       45:{1,3,6}:{(29,1),(60,1),(63,1),(64,1)}
       46:{3,4,5}:{(31,1),(65,1),(66,1),(147,1),(174,1)}
       47:{3,5,6}:{(30,1),(31,1),(65,1),(146,1),(174,1)}
       48:{2,3,5}:{(31,1),(32,1),(37,1),(62,1),(66,1),(68,1),(174,1),(176,1),(183,1)}
       49:{1,3,4,6}:{(32,1),(38,1),(63,1),(68,1),(69,1),(71,1),(77,1),(100,1),(106,1),(107,1),(112,1),(118,1),(139,1),(145,1),(146,1),(147,1),(175,1),(182,1)}
       50:{2,3,4}:{(34,1),(70,1),(71,1),(114,1),(147,1),(152,1)}
       51:{1,3,4,6}:{(33,1),(36,1),(65,1),(72,1),(107,1),(112,1),(146,1)}
       52:{2,4,5}:{(33,1),(34,1),(37,1),(70,1),(72,1),(73,1),(113,1),(152,1),(176,1)}
       53:{1,4}:{(34,1),(35,1)}
       54:{1,2,5}:{(35,1),(39,1),(74,1),(113,1)}
       55:{2,5,6}:{(36,1),(37,1),(72,1),(75,1),(176,1)}
       56:{1,5}:{(37,1),(38,1)}
       57:{1,2,4,6}:{(38,1),(39,1),(69,1),(74,1),(76,1),(77,1),(118,1),(138,1),(168,1),(182,1)}
       58:{1,3,4,5}:{(40,1),(43,1),(46,1),(79,1),(80,1),(87,1),(120,1),(128,1),(160,1),(180,1)}
       59:{2,4}:{(40,1),(41,1),(81,1)}
       60:{1,3,5}:{(41,1),(45,1),(81,1),(82,1),(84,1),(124,1)}
       61:{1,3,5,6}:{(42,1),(43,1),(47,1),(79,1),(83,1),(180,1)}
       62:{2,5}:{(43,1),(44,1),(84,1)}
       63:{1,4,6}:{(44,1),(45,1),(81,1),(84,1)}
       64:{1,2,6}:{(45,1),(82,1),(157,1)}
       65:{3,4,6}:{(46,1),(47,1),(86,1)}
       66:{2,4,5}:{(46,1),(48,1),(86,1),(87,1),(130,1)}
       67:{2,3,5,6}:{(47,1),(48,1),(55,1),(83,1),(86,1),(88,1),(91,1),(119,1)}
       68:{1,3,5}:{(48,1),(49,1),(56,1),(84,1),(87,1),(89,1),(128,1),(181,1),(184,1)}
       69:{2,4,6}:{(49,1),(89,1),(90,1),(93,1),(121,1),(130,1),(133,1),(157,1)}
       70:{2,3,5}:{(50,1),(52,1),(91,1),(92,1),(128,1)}
       71:{1,3,4}:{(50,1),(53,1),(92,1),(93,1),(96,1),(132,1),(165,1)}
       72:{2,4,6}:{(51,1),(52,1),(55,1),(91,1),(94,1),(133,1)}
       73:{1,4,5}:{(52,1),(53,1),(56,1),(92,1),(94,1),(165,1),(181,1)}
       74:{1,2,4}:{(53,1),(54,1),(93,1),(96,1)}
       75:{1,5,6}:{(55,1),(56,1),(94,1),(181,1)}
       76:{1,2,5}:{(56,1),(57,1),(89,1),(98,1),(184,1)}
       77:{1,3,6}:{(57,1),(90,1),(96,1),(98,1),(156,1)}
       78:{2,3,4}:{(59,1),(99,1),(100,1),(141,1),(147,1),(171,1)}
       79:{1,3,4,6}:{(58,1),(61,1),(65,1),(101,1),(107,1),(139,1),(146,1)}
       80:{2,4,5}:{(58,1),(59,1),(62,1),(99,1),(101,1),(102,1),(140,1),(171,1),(183,1)}
       81:{1,4}:{(59,1),(60,1)}
       82:{1,2,5}:{(60,1),(64,1),(103,1),(140,1)}
       83:{2,5,6}:{(61,1),(62,1),(101,1),(104,1),(183,1)}
       84:{1,5}:{(62,1),(63,1)}
       85:{1,2,4,6}:{(63,1),(64,1),(69,1),(103,1),(105,1),(106,1),(111,1),(145,1),(149,1),(175,1)}
       86:{2,4,6}:{(65,1),(66,1),(67,1),(107,1)}
       87:{1,4,5}:{(66,1),(68,1),(107,1),(108,1),(118,1),(145,1)}
       88:{1,3,5,6}:{(67,1),(68,1),(75,1),(104,1),(107,1),(109,1),(112,1),(139,1),(146,1)}
       89:{2,5}:{(68,1),(69,1)}
       90:{2,3,6}:{(69,1),(77,1),(106,1),(110,1),(114,1),(141,1),(146,1)}
       91:{2,3,6}:{(70,1),(72,1),(112,1),(146,1)}
       92:{1,3,5}:{(70,1),(71,1),(73,1),(112,1),(113,1)}
       93:{2,4}:{(71,1),(113,1),(114,1)}
       94:{1,4,6}:{(72,1),(73,1),(75,1),(112,1)}
       95:{1,2,4,5}:{(73,1),(74,1),(76,1),(108,1),(113,1),(115,1),(116,1),(118,1),(152,1),(154,1),(176,1)}
       96:{1,3}:{(74,1),(114,1)}
       97:{1,2,5,6}:{(75,1),(76,1),(109,1),(115,1),(117,1),(168,1),(176,1)}
       98:{1,3,5}:{(76,1),(77,1),(110,1),(118,1)}
       99:{2,3,5}:{(78,1),(80,1),(119,1),(120,1),(128,1)}
      100:{1,3,4}:{(78,1),(81,1),(120,1),(121,1),(124,1),(156,1),(178,1)}
      101:{2,4,6}:{(79,1),(80,1),(83,1),(119,1),(122,1),(157,1)}
      102:{1,4,5}:{(80,1),(81,1),(84,1),(120,1),(122,1),(178,1),(184,1)}
      103:{1,2,4}:{(81,1),(82,1),(121,1),(124,1)}
      104:{1,5,6}:{(83,1),(84,1),(122,1),(184,1)}
      105:{1,2,5}:{(84,1),(85,1),(89,1),(126,1),(181,1)}
      106:{1,3,6}:{(85,1),(90,1),(124,1),(126,1),(132,1)}
      107:{1,4,6}:{(86,1),(87,1),(88,1),(127,1)}
      108:{2,4,5}:{(87,1),(89,1),(127,1),(128,1),(130,1)}
      109:{2,5,6}:{(88,1),(89,1),(127,1),(133,1),(157,1)}
      110:{2,3,5}:{(89,1),(90,1),(98,1),(126,1),(128,1),(130,1)}
      111:{1,2,4}:{(93,1),(131,1),(132,1),(165,1)}
      112:{1,3,6}:{(91,1),(92,1),(94,1),(133,1)}
      113:{2,5}:{(92,1),(93,1),(133,1)}
      114:{2,3}:{(93,1),(96,1),(132,1)}
      115:{1,2,4,6}:{(94,1),(95,1),(97,1),(127,1),(133,1),(135,1),(137,1),(166,1)}
      116:{1,3,5}:{(95,1),(96,1),(128,1),(134,1),(135,1),(136,1)}
      117:{1,3,5,6}:{(97,1),(98,1),(129,1),(135,1),(137,1),(167,1),(177,1),(184,1)}
      118:{1,4}:{(98,1),(130,1)}
      119:{2,3,6}:{(99,1),(101,1),(139,1),(146,1)}
      120:{1,3,5}:{(99,1),(100,1),(102,1),(139,1),(140,1)}
      121:{2,4}:{(100,1),(140,1),(141,1)}
      122:{1,4,6}:{(101,1),(102,1),(104,1),(139,1)}
      123:{1,2,4,5}:{(102,1),(103,1),(105,1),(108,1),(140,1),(142,1),(143,1),(145,1),(171,1),(173,1),(183,1)}
      124:{1,3}:{(103,1),(141,1)}
      125:{1,2,5,6}:{(104,1),(105,1),(109,1),(142,1),(144,1),(149,1),(183,1)}
      126:{1,3,5}:{(105,1),(106,1),(110,1),(145,1)}
      127:{2,4,6}:{(107,1),(108,1),(109,1),(146,1)}
      128:{3,5}:{(108,1),(146,1),(147,1)}
      129:{2,3,5,6}:{(109,1),(110,1),(117,1),(144,1),(146,1),(148,1),(151,1),(170,1),(174,1),(176,1),(183,1)}
      130:{2,4}:{(110,1),(118,1),(145,1),(147,1)}
      131:{1,2,5}:{(111,1),(113,1),(149,1),(150,1)}
      132:{1,3}:{(111,1),(114,1)}
      133:{2,6}:{(112,1),(113,1)}
      134:{2,3,5}:{(113,1),(114,1),(116,1),(150,1),(151,1),(152,1),(176,1)}
      135:{1,3,6}:{(115,1),(116,1),(146,1),(151,1)}
      136:{1,3,4}:{(116,1),(118,1),(147,1),(152,1)}
      137:{1,4,6}:{(117,1),(118,1),(148,1),(154,1)}
      138:{1,2,4}:{(121,1),(155,1),(156,1),(178,1)}
      139:{1,3,6}:{(119,1),(120,1),(122,1),(157,1)}
      140:{2,5}:{(120,1),(121,1),(157,1)}
      141:{2,3}:{(121,1),(124,1),(156,1)}
      142:{1,2,4,6}:{(122,1),(123,1),(125,1),(127,1),(157,1),(159,1),(161,1),(179,1)}
      143:{1,3,5}:{(123,1),(124,1),(128,1),(158,1),(159,1),(160,1)}
      144:{1,3,5,6}:{(125,1),(126,1),(129,1),(159,1),(161,1),(164,1),(180,1),(181,1)}
      145:{1,4}:{(126,1),(130,1)}
      146:{3,6}:{(127,1),(128,1)}
      147:{3,4}:{(128,1),(130,1)}
      148:{2,4,6}:{(129,1),(130,1),(137,1),(161,1),(162,1),(163,1)}
      149:{1,2,6}:{(131,1),(133,1),(164,1)}
      150:{1,3,5}:{(131,1),(132,1),(134,1),(164,1),(165,1),(181,1)}
      151:{2,3,6}:{(133,1),(134,1),(135,1),(164,1),(166,1)}
      152:{2,4}:{(134,1),(136,1),(165,1)}
      153:{1,3,4,6}:{(135,1),(136,1),(137,1),(162,1),(166,1),(167,1)}
      154:{1,4,5}:{(137,1),(163,1),(167,1),(184,1)}
      155:{1,2,5}:{(138,1),(140,1),(168,1),(169,1)}
      156:{1,3}:{(138,1),(141,1)}
      157:{2,6}:{(139,1),(140,1)}
      158:{2,3,5}:{(140,1),(141,1),(143,1),(169,1),(170,1),(171,1),(183,1)}
      159:{1,3,6}:{(142,1),(143,1),(146,1),(170,1)}
      160:{1,3,4}:{(143,1),(145,1),(147,1),(171,1)}
      161:{1,4,6}:{(144,1),(145,1),(148,1),(173,1)}
      162:{3,4,6}:{(146,1),(147,1),(148,1),(174,1)}
      163:{2,4,5}:{(148,1),(154,1),(173,1),(174,1),(176,1),(183,1)}
      164:{1,3,6}:{(149,1),(150,1),(151,1),(175,1)}
      165:{1,4}:{(150,1),(152,1)}
      166:{2,4,6}:{(151,1),(152,1),(153,1),(175,1),(176,1)}
      167:{1,3,5}:{(153,1),(154,1),(174,1),(176,1)}
      168:{1,2,6}:{(155,1),(157,1),(177,1)}
      169:{1,3,5}:{(155,1),(156,1),(158,1),(177,1),(178,1),(184,1)}
      170:{2,3,6}:{(157,1),(158,1),(159,1),(177,1),(179,1)}
      171:{2,4}:{(158,1),(160,1),(178,1)}
      172:{1,3,4,6}:{(159,1),(160,1),(161,1),(162,1),(179,1),(180,1)}
      173:{1,4,5}:{(161,1),(163,1),(180,1),(181,1)}
      174:{3,5}:{(162,1),(163,1)}
      175:{1,4,6}:{(164,1),(165,1),(166,1),(181,1)}
      176:{2,5}:{(166,1),(167,1),(181,1)}
      177:{1,3,6}:{(168,1),(169,1),(170,1),(182,1)}
      178:{1,4}:{(169,1),(171,1)}
      179:{2,4,6}:{(170,1),(171,1),(172,1),(182,1),(183,1)}
      180:{1,3,5}:{(172,1),(173,1),(174,1),(183,1)}
      181:{1,5}:{(175,1),(176,1)}
      182:{1,4,6}:{(177,1),(178,1),(179,1),(184,1)}
      183:{2,5}:{(179,1),(180,1),(184,1)}
      184:{1,5}:{(182,1),(183,1)}

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

270 :   0:{2,3,4,6}:{(1,1),(2,1),(9,1),(24,1),(57,1),(68,1),(72,1),(96,1),(102,1)}
        1:{1,3,4,6}:{(0,1),(4,1),(5,1),(14,1),(18,1),(43,1),(48,1),(52,1),(91,1),(93,1),(124,1)}
        2:{2,3,5}:{(0,1),(5,1),(6,1),(117,1),(123,1)}
        3:{2,3,5,6}:{(2,1),(8,1),(9,1),(30,1),(65,1),(68,1)}
        4:{2,4,6}:{(1,1),(10,1),(11,1),(35,1),(114,1),(115,1)}
        5:{1,3,5}:{(1,1),(2,1),(11,1),(12,1),(36,1),(143,1)}
        6:{2,4,5}:{(2,1),(9,1),(12,1),(13,1),(57,1)}
        7:{1,2,4,6}:{(4,1),(14,1),(15,1),(38,1),(43,1),(124,1),(125,1),(128,1)}
        8:{1,3,5,6}:{(3,1),(5,1),(17,1),(18,1),(48,1),(87,1),(91,1)}
        9:{2,4,6}:{(3,1),(6,1),(18,1),(19,1)}
       10:{2,3,6}:{(4,1),(14,1),(21,1),(48,1),(134,1)}
       11:{2,5}:{(4,1),(5,1)}
       12:{1,4,5}:{(5,1),(6,1),(18,1),(22,1),(43,1)}
       13:{3,4,5}:{(6,1),(19,1),(77,1),(117,1)}
       14:{1,3,6}:{(7,1),(10,1),(24,1),(27,1),(146,1)}
       15:{1,2,5}:{(7,1),(11,1),(27,1),(56,1),(143,1)}
       16:{2,4,5,6}:{(9,1),(29,1),(30,1),(65,1),(95,1),(148,1)}
       17:{2,5,6}:{(8,1),(11,1),(32,1),(114,1)}
       18:{1,4,6}:{(8,1),(9,1),(12,1),(32,1)}
       19:{3,4,6}:{(9,1),(13,1),(30,1)}
       20:{2,3,4,6}:{(10,1),(26,1),(34,1),(35,1),(67,1),(70,1),(99,1),(102,1),(139,1)}
       21:{2,3,5}:{(10,1),(11,1),(27,1),(35,1),(36,1)}
       22:{2,4,5}:{(11,1),(12,1),(32,1),(35,1),(36,1)}
       23:{1,3,4,5}:{(12,1),(13,1),(33,1),(36,1),(37,1),(62,1),(73,1),(101,1),(108,1),(147,1),(172,1)}
       24:{2,3,6}:{(14,1),(38,1),(39,1),(119,1),(158,1)}
       25:{1,2,5,6}:{(15,1),(17,1),(40,1),(41,1),(75,1),(87,1),(123,1),(125,1),(131,1),(159,1),(160,1),(176,1)}
       26:{1,3,4,6}:{(14,1),(20,1),(38,1),(42,1),(43,1),(77,1),(81,1),(119,1),(121,1),(124,1),(156,1)}
       27:{1,3,5}:{(14,1),(15,1),(21,1),(39,1),(43,1)}
       28:{1,2,4,5}:{(15,1),(22,1),(41,1),(43,1),(44,1),(54,1),(76,1),(78,1),(83,1),(94,1),(123,1),(127,1),(128,1),(157,1),(160,1),(162,1),(175,1),(178,1)}
       29:{1,4,5,6}:{(16,1),(18,1),(45,1),(46,1),(78,1),(87,1),(130,1)}
       30:{3,5,6}:{(16,1),(19,1),(117,1),(163,1)}
       31:{2,3,5,6}:{(17,1),(21,1),(40,1),(47,1),(48,1),(80,1),(89,1),(123,1),(176,1),(177,1),(183,1)}
       32:{2,4,6}:{(17,1),(18,1),(22,1),(48,1)}
       33:{1,3,4,6}:{(18,1),(19,1),(23,1),(46,1),(48,1),(49,1),(85,1),(91,1),(130,1),(163,1)}
       34:{2,3,5}:{(20,1),(42,1),(51,1),(89,1),(123,1)}
       35:{2,4}:{(21,1),(43,1),(52,1)}
       36:{3,5}:{(22,1),(48,1),(52,1)}
       37:{2,4,5}:{(23,1),(49,1),(53,1),(54,1),(83,1),(94,1),(123,1)}
       38:{2,4,6}:{(24,1),(26,1),(56,1),(57,1),(141,1),(170,1)}
       39:{2,3,5}:{(24,1),(27,1),(56,1),(57,1),(98,1)}
       40:{1,3,5,6}:{(25,1),(27,1),(31,1),(55,1),(58,1),(59,1),(101,1),(103,1),(143,1),(171,1)}
       41:{1,2,4,6}:{(25,1),(28,1),(32,1),(58,1),(59,1),(69,1),(97,1),(102,1),(114,1),(145,1),(148,1),(170,1),(180,1)}
       42:{1,3,5}:{(26,1),(34,1),(56,1),(61,1),(98,1),(143,1)}
       43:{1,4}:{(27,1),(35,1),(57,1)}
       44:{1,3,5}:{(28,1),(36,1),(59,1),(62,1),(63,1),(98,1),(146,1),(172,1),(181,1)}
       45:{2,4,5,6}:{(29,1),(32,1),(64,1),(65,1),(66,1),(109,1)}
       46:{1,3,5,6}:{(29,1),(30,1),(33,1),(64,1),(65,1),(101,1)}
       47:{2,4,6}:{(31,1),(35,1),(58,1),(66,1),(67,1),(182,1)}
       48:{3,6}:{(32,1),(36,1)}
       49:{2,4,6}:{(33,1),(37,1),(65,1),(68,1),(69,1),(114,1)}
       50:{2,3,5,6}:{(34,1),(60,1),(70,1),(111,1),(139,1),(142,1)}
       51:{2,4,5}:{(34,1),(35,1),(61,1),(70,1),(71,1)}
       52:{3,4}:{(35,1),(36,1)}
       53:{2,3,5}:{(36,1),(37,1),(68,1),(72,1),(73,1),(172,1)}
       54:{1,4,5}:{(37,1),(69,1),(73,1),(106,1),(143,1)}
       55:{2,3,5,6}:{(39,1),(40,1),(74,1),(75,1),(80,1),(117,1),(119,1),(123,1),(131,1),(163,1),(164,1)}
       56:{2,5}:{(38,1),(42,1)}
       57:{2,4}:{(39,1),(43,1),(77,1)}
       58:{1,4,6}:{(40,1),(43,1),(47,1),(74,1),(78,1),(178,1)}
       59:{1,3,6}:{(41,1),(44,1),(48,1),(80,1),(119,1),(163,1),(183,1)}
       60:{1,3,5,6}:{(42,1),(50,1),(75,1),(81,1),(119,1),(156,1),(159,1)}
       61:{1,4,5}:{(42,1),(43,1),(51,1),(76,1),(81,1)}
       62:{1,3,4}:{(43,1),(44,1),(52,1),(77,1),(83,1),(178,1),(179,1),(184,1)}
       63:{2,3,5}:{(44,1),(80,1),(83,1),(84,1),(94,1),(123,1),(134,1),(157,1),(158,1)}
       64:{3,5,6}:{(45,1),(48,1),(85,1),(89,1)}
       65:{2,5,6}:{(46,1),(49,1),(87,1),(123,1)}
       66:{2,4,5}:{(47,1),(78,1),(89,1),(123,1)}
       67:{3,4,6}:{(47,1),(48,1),(52,1),(89,1),(183,1),(184,1)}
       68:{2,3,6}:{(48,1),(49,1),(53,1),(91,1),(163,1)}
       69:{1,4,6}:{(49,1),(54,1),(87,1),(91,1)}
       70:{2,4,6}:{(50,1),(51,1),(81,1),(92,1)}
       71:{3,4,5}:{(51,1),(52,1),(89,1),(92,1)}
       72:{2,3,4}:{(52,1),(53,1),(83,1),(93,1),(158,1),(179,1)}
       73:{1,3,5}:{(53,1),(54,1),(91,1),(93,1),(94,1)}
       74:{2,4,6}:{(55,1),(57,1),(58,1),(95,1),(96,1),(173,1)}
       75:{2,5,6}:{(56,1),(60,1),(97,1),(170,1)}
       76:{2,4,5}:{(56,1),(57,1),(61,1),(97,1),(98,1)}
       77:{3,4}:{(57,1),(98,1)}
       78:{1,4,5}:{(58,1),(66,1),(95,1),(101,1),(143,1)}
       79:{1,3,4,6}:{(58,1),(59,1),(62,1),(67,1),(96,1),(101,1),(102,1)}
       80:{2,3,6}:{(59,1),(63,1),(102,1),(103,1),(114,1),(170,1)}
       81:{1,4,6}:{(60,1),(61,1),(70,1),(97,1)}
       82:{1,3,4,5}:{(61,1),(62,1),(71,1),(98,1),(101,1),(104,1),(105,1),(135,1),(140,1),(166,1),(181,1)}
       83:{2,4}:{(62,1),(63,1),(106,1)}
       84:{1,3,5}:{(63,1),(103,1),(106,1),(107,1),(143,1),(146,1)}
       85:{3,4,6}:{(64,1),(108,1),(109,1)}
       86:{2,3,5,6}:{(64,1),(65,1),(68,1),(109,1),(110,1),(112,1)}
       87:{1,5,6}:{(65,1),(69,1),(143,1)}
       88:{2,4,5,6}:{(66,1),(70,1),(100,1),(111,1),(142,1),(180,1)}
       89:{3,5}:{(66,1),(67,1)}
       90:{2,3,4,6}:{(67,1),(68,1),(72,1),(102,1),(109,1),(112,1),(113,1),(169,1),(182,1)}
       91:{1,3,6}:{(68,1),(69,1),(73,1),(114,1)}
       92:{3,4,6}:{(70,1),(71,1),(111,1)}
       93:{1,3,4}:{(72,1),(73,1),(106,1),(115,1),(146,1)}
       94:{2,5}:{(73,1),(114,1),(115,1)}
       95:{2,4,5}:{(74,1),(78,1),(117,1),(123,1)}
       96:{3,4,6}:{(74,1),(77,1),(117,1),(119,1),(163,1),(179,1)}
       97:{2,4,6}:{(75,1),(76,1),(81,1),(119,1)}
       98:{3,5}:{(76,1),(77,1),(119,1)}
       99:{2,3,4}:{(77,1),(83,1),(120,1),(121,1),(134,1),(184,1)}
      100:{1,4,5,6}:{(78,1),(81,1),(88,1),(116,1),(122,1),(159,1),(174,1)}
      101:{1,3,5}:{(78,1),(79,1),(89,1),(117,1),(123,1)}
      102:{2,4,6}:{(79,1),(80,1),(83,1),(123,1),(124,1)}
      103:{1,3,6}:{(80,1),(84,1),(124,1),(125,1)}
      104:{1,3,4,6}:{(81,1),(82,1),(92,1),(119,1),(122,1),(126,1),(151,1),(156,1),(174,1),(183,1)}
      105:{2,4,5}:{(82,1),(83,1),(120,1),(123,1),(126,1),(127,1),(157,1)}
      106:{1,4}:{(83,1),(84,1)}
      107:{1,2,5}:{(84,1),(94,1),(125,1),(128,1),(157,1)}
      108:{3,4,5}:{(85,1),(89,1),(129,1),(184,1)}
      109:{2,4,6}:{(85,1),(86,1),(129,1),(130,1)}
      110:{1,3,5,6}:{(86,1),(87,1),(91,1),(130,1),(131,1),(132,1),(163,1)}
      111:{3,5,6}:{(88,1),(89,1),(92,1),(183,1)}
      112:{2,3,5}:{(89,1),(90,1),(123,1),(129,1),(132,1)}
      113:{1,3,4,6}:{(90,1),(91,1),(93,1),(124,1),(130,1),(132,1),(133,1),(161,1),(163,1),(178,1),(179,1)}
      114:{2,6}:{(91,1),(94,1)}
      115:{2,4}:{(93,1),(94,1),(134,1)}
      116:{2,4,5,6}:{(95,1),(97,1),(100,1),(136,1),(142,1),(165,1)}
      117:{3,5}:{(95,1),(96,1)}
      118:{2,3,4,6}:{(96,1),(99,1),(102,1),(137,1),(138,1),(139,1),(150,1),(165,1),(173,1)}
      119:{3,6}:{(97,1),(98,1)}
      120:{2,3,5}:{(98,1),(99,1),(105,1),(139,1),(140,1),(181,1)}
      121:{1,3,4}:{(99,1),(106,1),(140,1),(141,1),(146,1)}
      122:{1,3,5,6}:{(100,1),(101,1),(104,1),(111,1),(136,1),(142,1)}
      123:{2,5}:{(101,1),(102,1),(143,1)}
      124:{1,4,6}:{(102,1),(103,1),(106,1),(143,1)}
      125:{1,2,6}:{(103,1),(107,1),(114,1),(170,1)}
      126:{2,4,6}:{(104,1),(105,1),(139,1),(142,1),(145,1),(170,1)}
      127:{1,4,5}:{(105,1),(106,1),(140,1),(143,1),(145,1)}
      128:{1,2,4}:{(106,1),(107,1),(115,1),(141,1),(146,1)}
      129:{2,4,5}:{(108,1),(109,1),(112,1),(147,1),(182,1)}
      130:{1,4,6}:{(109,1),(110,1),(147,1),(148,1)}
      131:{2,5,6}:{(110,1),(114,1),(148,1),(149,1)}
      132:{1,3,5}:{(112,1),(113,1),(143,1),(147,1),(149,1),(172,1)}
      133:{2,4,6}:{(113,1),(114,1),(115,1),(149,1),(150,1),(173,1)}
      134:{2,3}:{(115,1),(146,1)}
      135:{3,4,5}:{(117,1),(151,1),(152,1),(179,1)}
      136:{3,5,6}:{(116,1),(117,1),(119,1),(151,1)}
      137:{2,3,5}:{(117,1),(118,1),(123,1),(152,1),(154,1)}
      138:{1,3,4,6}:{(118,1),(121,1),(124,1),(154,1),(155,1),(156,1),(161,1),(174,1),(178,1),(183,1),(184,1)}
      139:{2,3,6}:{(119,1),(120,1),(126,1),(156,1),(183,1)}
      140:{1,3,5}:{(120,1),(121,1),(127,1),(156,1),(157,1)}
      141:{2,4}:{(121,1),(157,1),(158,1)}
      142:{2,5,6}:{(122,1),(123,1),(126,1),(159,1)}
      143:{1,5}:{(123,1),(124,1)}
      144:{1,2,4,6}:{(124,1),(125,1),(128,1),(133,1),(155,1),(160,1),(161,1),(178,1)}
      145:{1,4,6}:{(126,1),(127,1),(156,1),(159,1)}
      146:{1,3}:{(128,1),(134,1),(158,1)}
      147:{1,4,5}:{(129,1),(130,1),(132,1),(162,1),(178,1)}
      148:{2,4,6}:{(130,1),(131,1),(162,1),(163,1)}
      149:{2,5}:{(132,1),(133,1)}
      150:{2,3,6}:{(133,1),(134,1),(161,1),(163,1),(164,1)}
      151:{3,4,6}:{(135,1),(136,1),(165,1)}
      152:{2,4,5}:{(135,1),(137,1),(165,1),(166,1),(173,1)}
      153:{2,3,5,6}:{(136,1),(137,1),(139,1),(142,1),(165,1),(167,1)}
      154:{1,3,5}:{(137,1),(138,1),(143,1),(166,1),(168,1),(181,1)}
      155:{2,4,6}:{(138,1),(141,1),(168,1),(169,1),(170,1),(182,1)}
      156:{1,3,6}:{(139,1),(140,1),(145,1),(170,1)}
      157:{2,5}:{(140,1),(141,1),(170,1)}
      158:{2,3}:{(141,1),(146,1)}
      159:{1,5,6}:{(142,1),(143,1),(145,1)}
      160:{1,2,5}:{(143,1),(144,1),(149,1),(168,1),(171,1)}
      161:{1,3,6}:{(144,1),(146,1),(150,1),(169,1),(171,1)}
      162:{2,4,5}:{(147,1),(148,1),(149,1),(172,1),(173,1)}
      163:{3,6}:{(148,1),(172,1)}
      164:{2,3,5}:{(149,1),(150,1),(171,1),(172,1),(173,1)}
      165:{2,4,6}:{(151,1),(152,1),(153,1),(174,1)}
      166:{1,4,5}:{(152,1),(154,1),(174,1),(175,1),(178,1)}
      167:{1,3,5,6}:{(153,1),(154,1),(156,1),(159,1),(174,1),(176,1),(183,1)}
      168:{2,5}:{(154,1),(155,1)}
      169:{2,3,6}:{(155,1),(158,1),(161,1),(177,1),(183,1)}
      170:{2,6}:{(156,1),(157,1)}
      171:{1,3,5}:{(160,1),(161,1),(164,1),(177,1),(178,1)}
      172:{3,5}:{(162,1),(163,1),(179,1)}
      173:{2,4}:{(164,1),(178,1),(179,1)}
      174:{1,4,6}:{(165,1),(166,1),(167,1),(180,1)}
      175:{2,4,5}:{(166,1),(168,1),(180,1),(181,1),(182,1)}
      176:{2,5,6}:{(167,1),(168,1),(170,1),(180,1)}
      177:{2,3,5}:{(168,1),(169,1),(171,1),(181,1),(182,1)}
      178:{1,4}:{(171,1),(173,1),(182,1)}
      179:{3,4}:{(172,1),(173,1)}
      180:{2,4,6}:{(174,1),(175,1),(176,1),(183,1)}
      181:{3,5}:{(175,1),(183,1),(184,1)}
      182:{2,4}:{(177,1),(178,1),(184,1)}
      183:{3,6}:{(180,1),(181,1)}
      184:{3,4}:{(181,1),(182,1)}

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

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

273 :  0:{4,5,6}:{(1,1),(78,1)}
       1:{3,5,6}:{(0,1),(3,1),(4,1),(75,1)}
       2:{3,4,5}:{(3,1),(5,1),(66,1),(75,1)}
       3:{3,4,6}:{(1,1),(2,1),(7,1)}
       4:{2,5,6}:{(1,1),(7,1),(8,1),(71,1)}
       5:{2,4,5}:{(2,1),(7,1),(9,1),(10,1),(58,1),(71,1)}
       6:{2,3,4}:{(9,1),(11,1),(40,1),(58,1)}
       7:{2,4,6}:{(3,1),(4,1),(5,1),(12,1),(13,1)}
       8:{1,5,6}:{(4,1),(13,1),(14,1),(64,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1),(15,1)}
      10:{1,4,5}:{(5,1),(13,1),(15,1),(16,1),(48,1),(64,1)}
      11:{1,3,4}:{(6,1),(15,1),(17,1),(30,1),(31,1),(48,1)}
      12:{2,3,6}:{(7,1),(9,1),(18,1)}
      13:{1,4,6}:{(7,1),(8,1),(10,1),(18,1),(19,1)}
      14:{2,5,6}:{(8,1),(19,1),(20,1),(56,1)}
      15:{1,3,5}:{(9,1),(10,1),(11,1),(18,1),(21,1),(22,1)}
      16:{2,4,5}:{(10,1),(19,1),(21,1),(22,1),(36,1),(38,1),(56,1)}
      17:{2,4}:{(11,1),(21,1),(24,1)}
      18:{1,3,6}:{(12,1),(13,1),(15,1),(25,1),(26,1)}
      19:{2,4,6}:{(13,1),(14,1),(16,1),(25,1),(26,1),(27,1)}
      20:{3,5,6}:{(14,1),(26,1),(27,1),(45,1)}
      21:{2,5}:{(15,1),(17,1),(25,1)}
      22:{3,5}:{(16,1),(26,1),(30,1)}
      23:{1,2,4}:{(17,1),(28,1),(31,1),(48,1),(51,1)}
      24:{2,3}:{(17,1),(31,1)}
      25:{2,6}:{(18,1),(21,1)}
      26:{3,6}:{(19,1),(22,1)}
      27:{4,6}:{(20,1),(36,1)}
      28:{1,2,5}:{(21,1),(23,1),(33,1),(37,1),(61,1)}
      29:{2,3,5}:{(21,1),(22,1),(24,1),(34,1),(37,1),(38,1),(56,1)}
      30:{3,4}:{(22,1),(38,1)}
      31:{1,3}:{(23,1),(24,1),(40,1)}
      32:{2,3,4}:{(24,1),(38,1),(41,1),(42,1)}
      33:{1,2,6}:{(25,1),(28,1),(43,1),(69,1)}
      34:{2,3,6}:{(25,1),(26,1),(29,1),(43,1),(44,1)}
      35:{3,4,6}:{(26,1),(27,1),(30,1),(44,1),(45,1)}
      36:{4,5}:{(27,1),(45,1)}
      37:{1,3,5}:{(28,1),(29,1),(31,1),(43,1),(47,1),(48,1),(64,1)}
      38:{2,4}:{(29,1),(30,1),(48,1)}
      39:{3,4,5}:{(30,1),(45,1),(49,1),(50,1)}
      40:{2,3}:{(31,1),(51,1)}
      41:{1,3,4}:{(31,1),(32,1),(48,1),(51,1),(52,1),(66,1)}
      42:{2,3,5}:{(32,1),(49,1),(52,1),(53,1)}
      43:{1,3,6}:{(33,1),(34,1),(37,1),(54,1),(55,1)}
      44:{2,4,6}:{(34,1),(35,1),(38,1),(55,1),(56,1)}
      45:{3,5}:{(35,1),(36,1),(56,1)}
      46:{4,5,6}:{(36,1),(57,1)}
      47:{2,3,5}:{(37,1),(40,1),(54,1),(58,1),(61,1),(71,1),(73,1)}
      48:{1,4}:{(37,1),(38,1),(58,1)}
      49:{2,4,5}:{(38,1),(39,1),(42,1),(56,1),(59,1),(60,1)}
      50:{3,4,6}:{(39,1),(57,1),(60,1)}
      51:{2,4}:{(40,1),(41,1),(61,1)}
      52:{1,3,5}:{(41,1),(42,1),(59,1),(61,1),(62,1),(73,1)}
      53:{2,3,6}:{(42,1),(60,1),(62,1)}
      54:{2,3,6}:{(43,1),(47,1),(63,1),(69,1),(77,1)}
      55:{1,4,6}:{(43,1),(44,1),(48,1),(63,1),(64,1)}
      56:{2,5}:{(44,1),(45,1),(64,1)}
      57:{3,5,6}:{(45,1),(46,1),(50,1),(65,1)}
      58:{2,4}:{(47,1),(48,1),(66,1)}
      59:{1,4,5}:{(48,1),(49,1),(52,1),(64,1),(67,1),(68,1)}
      60:{2,4,6}:{(49,1),(50,1),(53,1),(65,1),(68,1)}
      61:{2,5}:{(51,1),(52,1),(69,1)}
      62:{1,3,6}:{(52,1),(53,1),(68,1),(69,1),(77,1)}
      63:{2,4,6}:{(54,1),(55,1),(58,1),(70,1),(71,1)}
      64:{1,5}:{(55,1),(56,1),(71,1)}
      65:{2,5,6}:{(56,1),(57,1),(60,1),(72,1)}
      66:{3,4}:{(58,1),(73,1)}
      67:{2,4,5}:{(58,1),(59,1),(61,1),(71,1),(73,1),(74,1),(78,1)}
      68:{1,4,6}:{(59,1),(60,1),(62,1),(72,1),(74,1)}
      69:{2,6}:{(61,1),(62,1)}
      70:{3,4,6}:{(63,1),(66,1),(75,1),(77,1),(80,1)}
      71:{2,5}:{(63,1),(64,1),(75,1)}
      72:{1,5,6}:{(64,1),(65,1),(68,1),(76,1)}
      73:{3,5}:{(66,1),(67,1),(77,1)}
      74:{2,4,6}:{(67,1),(68,1),(69,1),(76,1),(77,1),(80,1)}
      75:{3,5}:{(70,1),(71,1),(78,1)}
      76:{2,5,6}:{(71,1),(72,1),(74,1),(79,1)}
      77:{3,6}:{(73,1),(74,1)}
      78:{4,5}:{(75,1),(80,1)}
      79:{3,5,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

274 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(4,1),(5,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(3,1),(5,1),(6,1)}
       3:{2,4,5}:{(2,1),(7,1),(8,1),(16,1),(28,1)}
       4:{2,5,6}:{(1,1),(9,1),(16,1),(25,1)}
       5:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       6:{3,4,6}:{(2,1),(8,1)}
       7:{1,4,5}:{(3,1),(5,1),(11,1),(12,1),(21,1),(26,1)}
       8:{3,5}:{(3,1),(6,1),(29,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1),(19,1),(22,1),(26,1),(29,1)}
      11:{2,4,5}:{(7,1),(9,1),(15,1),(16,1),(23,1)}
      12:{1,3,5}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
      13:{3,6}:{(9,1),(15,1)}
      14:{2,4,6}:{(10,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(13,1),(19,1)}
      16:{2,5}:{(12,1),(14,1),(21,1)}
      17:{2,3,6}:{(13,1),(14,1),(20,1),(22,1),(29,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,5}:{(16,1),(18,1)}
      22:{1,3,6}:{(17,1),(18,1),(24,1),(25,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(22,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

275 :   0:{1,2,5,6}:{(2,1),(3,1),(42,1),(69,1),(110,1),(117,1),(120,1)}
        1:{1,2,4,5}:{(3,1),(4,1),(13,1),(15,1),(35,1),(42,1),(68,1),(77,1),(120,1),(122,1),(155,1)}
        2:{1,3,5,6}:{(0,1),(5,1),(6,1),(8,1),(26,1),(96,1),(98,1),(140,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(8,1),(27,1),(51,1),(89,1),(130,1)}
        4:{1,3,5}:{(1,1),(7,1),(8,1),(9,1),(100,1),(141,1)}
        5:{2,3,5,6}:{(2,1),(11,1),(12,1),(16,1),(39,1),(42,1),(73,1),(75,1),(110,1),(123,1),(147,1)}
        6:{1,4,6}:{(2,1),(12,1),(13,1),(155,1)}
        7:{1,3,4}:{(4,1),(15,1),(155,1),(156,1)}
        8:{1,3,6}:{(3,1),(4,1),(16,1),(147,1)}
        9:{2,3,5}:{(4,1),(15,1),(16,1),(17,1),(42,1),(68,1),(81,1)}
       10:{1,3,4,5}:{(7,1),(19,1),(20,1),(26,1),(49,1),(57,1),(93,1),(101,1),(134,1),(141,1)}
       11:{1,3,5,6}:{(5,1),(21,1),(22,1),(29,1),(54,1),(55,1),(61,1),(104,1)}
       12:{2,4,6}:{(5,1),(6,1),(22,1),(23,1),(24,1),(142,1)}
       13:{1,4,5}:{(6,1),(23,1),(26,1),(98,1)}
       14:{1,3,4,6}:{(6,1),(7,1),(8,1),(24,1),(26,1),(27,1)}
       15:{2,4}:{(7,1),(9,1),(28,1)}
       16:{2,3,6}:{(8,1),(9,1),(27,1),(29,1),(89,1)}
       17:{1,3,5}:{(9,1),(28,1),(29,1),(30,1),(61,1),(63,1)}
       18:{1,4,5,6}:{(13,1),(31,1),(33,1),(106,1),(109,1),(150,1)}
       19:{1,3,4,6}:{(10,1),(33,1),(34,1),(65,1),(67,1),(109,1),(147,1)}
       20:{2,4,5}:{(10,1),(15,1),(32,1),(34,1),(35,1),(42,1),(68,1),(112,1),(149,1)}
       21:{1,2,5,6}:{(11,1),(36,1),(45,1),(75,1),(82,1),(106,1),(110,1)}
       22:{1,4,6}:{(11,1),(12,1),(37,1),(124,1)}
       23:{2,4,5}:{(12,1),(13,1),(37,1),(39,1),(42,1),(75,1)}
       24:{3,4,6}:{(12,1),(39,1),(147,1),(156,1)}
       25:{2,3,4}:{(15,1),(32,1),(41,1),(81,1),(112,1),(156,1)}
       26:{1,3,5}:{(13,1),(14,1),(39,1),(42,1)}
       27:{2,4,6}:{(14,1),(15,1),(16,1),(42,1),(43,1)}
       28:{1,4}:{(15,1),(17,1)}
       29:{1,3,6}:{(16,1),(17,1),(43,1),(45,1)}
       30:{1,2,5}:{(17,1),(44,1),(45,1),(68,1)}
       31:{2,4,5,6}:{(18,1),(23,1),(46,1),(47,1),(50,1),(85,1),(87,1),(130,1),(162,1)}
       32:{2,3,5}:{(20,1),(25,1),(48,1),(49,1),(141,1)}
       33:{1,3,5,6}:{(18,1),(19,1),(26,1),(47,1),(50,1),(134,1)}
       34:{2,4,6}:{(19,1),(20,1),(48,1),(50,1),(51,1),(89,1)}
       35:{1,4,5}:{(20,1),(28,1),(49,1),(51,1),(61,1),(129,1),(160,1)}
       36:{1,2,4,6}:{(21,1),(22,1),(53,1),(54,1),(56,1),(126,1),(130,1),(157,1)}
       37:{1,4,5}:{(22,1),(23,1),(55,1),(61,1)}
       38:{1,3,4,6}:{(22,1),(24,1),(54,1),(55,1),(56,1),(94,1)}
       39:{3,5}:{(23,1),(24,1)}
       40:{2,3,4,6}:{(24,1),(25,1),(27,1),(48,1),(56,1),(58,1),(59,1),(87,1),(103,1),(125,1),(132,1),(135,1),(142,1),(161,1),(178,1)}
       41:{1,3,4}:{(25,1),(28,1),(49,1),(60,1),(63,1),(100,1),(129,1)}
       42:{2,5}:{(26,1),(27,1),(61,1)}
       43:{1,4,6}:{(27,1),(28,1),(29,1),(61,1)}
       44:{1,2,4}:{(28,1),(30,1),(60,1),(63,1)}
       45:{1,2,6}:{(29,1),(30,1),(89,1)}
       46:{1,4,5,6}:{(31,1),(37,1),(64,1),(69,1),(109,1),(171,1)}
       47:{3,5,6}:{(31,1),(39,1),(65,1),(147,1),(172,1)}
       48:{2,3,6}:{(32,1),(34,1),(67,1),(147,1)}
       49:{1,3,5}:{(32,1),(35,1),(41,1),(67,1),(68,1)}
       50:{2,5,6}:{(33,1),(34,1),(42,1),(69,1),(149,1)}
       51:{1,4,6}:{(34,1),(35,1),(67,1),(69,1)}
       52:{1,2,4,5}:{(35,1),(44,1),(68,1),(70,1),(71,1),(82,1),(112,1),(122,1),(124,1),(149,1),(150,1)}
       53:{1,2,4,5}:{(36,1),(37,1),(72,1),(75,1),(82,1),(115,1),(119,1),(122,1),(124,1),(153,1),(173,1)}
       54:{1,3,6}:{(36,1),(72,1),(73,1),(147,1)}
       55:{1,3,5}:{(37,1),(38,1),(39,1),(75,1)}
       56:{2,4,6}:{(38,1),(73,1),(75,1),(76,1),(115,1)}
       57:{3,4,5}:{(39,1),(65,1),(78,1),(156,1),(172,1)}
       58:{2,3,5}:{(39,1),(40,1),(42,1),(75,1),(78,1),(79,1),(149,1),(172,1),(183,1)}
       59:{1,3,4,6}:{(40,1),(41,1),(43,1),(67,1),(76,1),(79,1),(80,1),(83,1),(109,1),(121,1),(124,1),(143,1),(146,1),(147,1),(151,1),(155,1),(156,1),(182,1)}
       60:{2,4}:{(41,1),(68,1),(81,1)}
       61:{1,5}:{(42,1),(43,1)}
       62:{1,2,4,6}:{(43,1),(44,1),(45,1),(80,1),(82,1),(83,1),(124,1),(168,1),(173,1),(182,1)}
       63:{1,3}:{(44,1),(81,1)}
       64:{1,3,5,6}:{(46,1),(47,1),(55,1),(84,1),(85,1),(179,1)}
       65:{3,4,6}:{(47,1),(57,1),(87,1)}
       66:{2,3,5,6}:{(47,1),(48,1),(50,1),(58,1),(85,1),(87,1),(88,1),(125,1)}
       67:{1,3,6}:{(48,1),(49,1),(51,1),(89,1)}
       68:{2,5}:{(49,1),(60,1),(89,1)}
       69:{1,5,6}:{(50,1),(51,1),(61,1),(160,1)}
       70:{1,2,4,6}:{(51,1),(52,1),(89,1),(91,1),(92,1),(130,1),(132,1),(133,1)}
       71:{1,3,5}:{(52,1),(63,1),(90,1),(92,1),(93,1),(141,1)}
       72:{1,3,5}:{(53,1),(54,1),(94,1),(95,1),(141,1),(180,1)}
       73:{2,3,6}:{(54,1),(56,1),(95,1),(96,1),(157,1)}
       74:{1,3,4,5}:{(55,1),(57,1),(84,1),(94,1),(97,1),(101,1),(138,1),(141,1),(167,1),(179,1)}
       75:{2,5}:{(55,1),(56,1),(98,1)}
       76:{1,4,6}:{(56,1),(96,1),(98,1),(136,1)}
       77:{1,2,4}:{(60,1),(86,1),(100,1),(129,1)}
       78:{2,4,5}:{(57,1),(58,1),(87,1),(101,1),(142,1)}
       79:{1,3,5}:{(58,1),(59,1),(61,1),(98,1),(101,1),(102,1),(141,1),(160,1),(184,1)}
       80:{2,4,6}:{(59,1),(60,1),(89,1),(102,1),(103,1),(142,1),(157,1),(163,1)}
       81:{2,3}:{(60,1),(63,1),(100,1)}
       82:{1,2,5}:{(61,1),(62,1),(102,1),(104,1),(184,1)}
       83:{1,3,6}:{(62,1),(63,1),(103,1),(104,1),(180,1)}
       84:{1,3,4,6}:{(64,1),(65,1),(74,1),(105,1),(109,1),(143,1),(147,1)}
       85:{2,5,6}:{(64,1),(75,1),(105,1),(106,1),(183,1)}
       86:{1,2,5}:{(68,1),(77,1),(107,1),(108,1)}
       87:{2,4,6}:{(65,1),(66,1),(78,1),(109,1)}
       88:{1,3,5,6}:{(66,1),(67,1),(69,1),(79,1),(106,1),(109,1),(110,1),(143,1),(147,1)}
       89:{2,6}:{(67,1),(68,1)}
       90:{2,3,5}:{(68,1),(71,1),(81,1),(108,1),(111,1),(112,1),(149,1)}
       91:{1,2,5,6}:{(69,1),(70,1),(82,1),(110,1),(113,1),(149,1),(168,1)}
       92:{1,3,6}:{(70,1),(71,1),(111,1),(147,1)}
       93:{1,3,4}:{(71,1),(112,1),(124,1),(156,1)}
       94:{1,3,4}:{(72,1),(115,1),(124,1),(156,1)}
       95:{2,3,5}:{(72,1),(73,1),(75,1),(115,1),(116,1),(153,1),(174,1)}
       96:{1,3,6}:{(73,1),(76,1),(116,1),(117,1)}
       97:{2,4,5}:{(74,1),(75,1),(105,1),(115,1),(118,1),(119,1),(153,1),(176,1),(183,1)}
       98:{1,5}:{(75,1),(76,1)}
       99:{1,2,4,6}:{(76,1),(77,1),(80,1),(107,1),(117,1),(120,1),(121,1),(146,1),(152,1),(155,1)}
      100:{1,3}:{(77,1),(81,1)}
      101:{1,4,5}:{(78,1),(79,1),(109,1),(122,1),(124,1),(155,1)}
      102:{2,5}:{(79,1),(80,1)}
      103:{2,3,6}:{(80,1),(81,1),(83,1),(121,1),(123,1),(147,1),(174,1)}
      104:{1,3,5}:{(82,1),(83,1),(123,1),(124,1)}
      105:{2,4,6}:{(84,1),(85,1),(97,1),(125,1),(126,1),(157,1)}
      106:{1,5,6}:{(85,1),(98,1),(126,1),(184,1)}
      107:{1,2,6}:{(86,1),(89,1),(128,1)}
      108:{1,3,5}:{(86,1),(90,1),(100,1),(128,1),(129,1),(160,1)}
      109:{1,4,6}:{(87,1),(88,1),(101,1),(130,1)}
      110:{2,5,6}:{(88,1),(89,1),(102,1),(130,1),(157,1)}
      111:{2,3,6}:{(89,1),(90,1),(92,1),(128,1),(132,1)}
      112:{2,4}:{(90,1),(93,1),(129,1)}
      113:{1,3,5,6}:{(91,1),(92,1),(104,1),(131,1),(133,1),(134,1),(177,1),(184,1)}
      114:{1,3,4,6}:{(92,1),(93,1),(132,1),(133,1),(134,1),(161,1)}
      115:{2,4}:{(94,1),(95,1),(136,1)}
      116:{1,3,5}:{(95,1),(96,1),(98,1),(136,1),(137,1),(164,1)}
      117:{1,2,6}:{(96,1),(137,1),(157,1)}
      118:{2,3,5}:{(97,1),(125,1),(135,1),(138,1),(141,1)}
      119:{1,4,5}:{(97,1),(98,1),(126,1),(136,1),(138,1),(181,1),(184,1)}
      120:{1,2,5}:{(98,1),(99,1),(102,1),(140,1),(160,1)}
      121:{1,3,6}:{(99,1),(100,1),(103,1),(140,1),(164,1)}
      122:{2,4,5}:{(101,1),(102,1),(130,1),(141,1),(142,1)}
      123:{2,3,5}:{(102,1),(103,1),(104,1),(140,1),(141,1),(142,1)}
      124:{1,4}:{(104,1),(142,1)}
      125:{2,3,6}:{(105,1),(118,1),(143,1),(147,1)}
      126:{1,4,6}:{(105,1),(106,1),(119,1),(143,1)}
      127:{1,2,5,6}:{(106,1),(107,1),(110,1),(120,1),(144,1),(145,1),(183,1)}
      128:{1,3,6}:{(107,1),(108,1),(111,1),(146,1)}
      129:{1,4}:{(108,1),(112,1)}
      130:{2,4,6}:{(109,1),(110,1),(122,1),(147,1)}
      131:{2,3,5,6}:{(110,1),(111,1),(113,1),(123,1),(145,1),(147,1),(148,1),(149,1),(169,1),(172,1),(183,1)}
      132:{2,4,6}:{(111,1),(112,1),(114,1),(146,1),(149,1)}
      133:{1,4,6}:{(113,1),(124,1),(148,1),(150,1)}
      134:{1,3,5}:{(114,1),(149,1),(150,1),(172,1)}
      135:{2,3,4}:{(115,1),(118,1),(151,1),(156,1),(174,1),(176,1)}
      136:{1,4}:{(115,1),(116,1)}
      137:{1,2,5}:{(116,1),(117,1),(152,1),(153,1)}
      138:{1,3,5}:{(118,1),(119,1),(143,1),(151,1),(153,1)}
      139:{1,2,4,5}:{(119,1),(120,1),(122,1),(144,1),(152,1),(153,1),(154,1),(155,1),(171,1),(176,1),(183,1)}
      140:{1,3,5}:{(120,1),(121,1),(123,1),(155,1)}
      141:{3,5}:{(122,1),(147,1),(156,1)}
      142:{2,4}:{(123,1),(124,1),(155,1),(156,1)}
      143:{1,3,6}:{(125,1),(126,1),(138,1),(157,1)}
      144:{1,2,4,6}:{(126,1),(127,1),(130,1),(139,1),(157,1),(158,1),(159,1),(178,1)}
      145:{1,3,5,6}:{(127,1),(128,1),(131,1),(140,1),(158,1),(159,1),(160,1),(179,1)}
      146:{1,4,6}:{(128,1),(129,1),(132,1),(160,1)}
      147:{3,6}:{(130,1),(141,1)}
      148:{2,4,6}:{(131,1),(133,1),(142,1),(159,1),(161,1),(162,1)}
      149:{2,5}:{(132,1),(134,1),(160,1)}
      150:{1,4,5}:{(133,1),(134,1),(162,1),(184,1)}
      151:{1,3,4}:{(135,1),(136,1),(138,1),(163,1),(164,1),(180,1),(181,1)}
      152:{1,2,4}:{(136,1),(137,1),(163,1),(164,1)}
      153:{2,5}:{(138,1),(157,1),(163,1)}
      154:{1,3,5}:{(139,1),(141,1),(158,1),(164,1),(166,1),(167,1)}
      155:{1,4}:{(140,1),(142,1)}
      156:{3,4}:{(141,1),(142,1)}
      157:{2,6}:{(143,1),(153,1)}
      158:{1,3,6}:{(144,1),(147,1),(154,1),(169,1)}
      159:{1,4,6}:{(145,1),(148,1),(155,1),(171,1)}
      160:{1,5}:{(146,1),(149,1)}
      161:{3,4,6}:{(147,1),(148,1),(156,1),(172,1)}
      162:{2,4,5}:{(148,1),(149,1),(150,1),(171,1),(172,1),(183,1)}
      163:{2,4}:{(151,1),(153,1),(174,1)}
      164:{1,3}:{(152,1),(174,1)}
      165:{1,2,5}:{(153,1),(168,1),(173,1),(175,1)}
      166:{2,3,5}:{(153,1),(154,1),(169,1),(174,1),(175,1),(176,1),(183,1)}
      167:{1,3,4}:{(154,1),(155,1),(156,1),(176,1)}
      168:{1,2,6}:{(157,1),(165,1),(177,1)}
      169:{2,3,6}:{(157,1),(158,1),(166,1),(177,1),(178,1)}
      170:{1,3,4,6}:{(158,1),(159,1),(161,1),(167,1),(178,1),(179,1)}
      171:{1,4,5}:{(159,1),(160,1),(162,1),(179,1)}
      172:{3,5}:{(161,1),(162,1)}
      173:{1,2,4}:{(163,1),(165,1),(180,1),(181,1)}
      174:{2,3}:{(163,1),(164,1),(180,1)}
      175:{1,3,5}:{(165,1),(166,1),(177,1),(180,1),(181,1),(184,1)}
      176:{2,4}:{(166,1),(167,1),(181,1)}
      177:{1,3,6}:{(168,1),(169,1),(175,1),(182,1)}
      178:{2,4,6}:{(169,1),(170,1),(176,1),(182,1),(183,1)}
      179:{1,3,5}:{(170,1),(171,1),(172,1),(183,1)}
      180:{1,3}:{(173,1),(174,1)}
      181:{1,4}:{(175,1),(176,1)}
      182:{1,4,6}:{(177,1),(178,1),(181,1),(184,1)}
      183:{2,5}:{(178,1),(179,1),(184,1)}
      184:{1,5}:{(182,1),(183,1)}

276 :  0:{1,3,5,6}:{(1,1),(2,1),(9,1),(10,1)}
       1:{2,5,6}:{(0,1),(3,1),(4,1),(16,1)}
       2:{1,4,6}:{(0,1),(4,1),(5,1),(26,1)}
       3:{1,5,6}:{(1,1),(7,1),(23,1)}
       4:{2,4,6}:{(1,1),(2,1),(7,1),(8,1),(9,1),(19,1)}
       5:{1,4,5}:{(2,1),(8,1),(10,1),(31,1),(32,1)}
       6:{1,3,4,6}:{(2,1),(9,1),(10,1),(11,1),(20,1),(22,1),(32,1),(38,1)}
       7:{1,4,6}:{(3,1),(4,1),(12,1),(13,1)}
       8:{2,4,5}:{(4,1),(5,1),(12,1),(14,1),(16,1),(25,1),(27,1),(36,1)}
       9:{3,6}:{(4,1),(14,1)}
      10:{1,3,5}:{(5,1),(6,1),(14,1),(16,1)}
      11:{2,4,6}:{(6,1),(15,1),(16,1),(17,1),(27,1),(29,1),(36,1)}
      12:{1,4,5}:{(7,1),(8,1),(18,1),(23,1),(32,1)}
      13:{1,3,6}:{(7,1),(9,1),(18,1),(19,1)}
      14:{3,5}:{(8,1),(9,1),(20,1),(38,1)}
      15:{2,3,6}:{(9,1),(11,1),(19,1),(21,1),(22,1),(38,1)}
      16:{2,5}:{(10,1),(11,1),(23,1)}
      17:{1,4,6}:{(11,1),(22,1),(23,1),(32,1)}
      18:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1)}
      19:{2,6}:{(13,1),(25,1),(26,1)}
      20:{3,4}:{(14,1),(27,1)}
      21:{2,3,5}:{(14,1),(15,1),(16,1),(25,1),(27,1),(28,1),(34,1)}
      22:{1,3,6}:{(15,1),(17,1),(26,1),(28,1),(29,1)}
      23:{1,5}:{(16,1),(17,1)}
      24:{1,3,4}:{(18,1),(20,1),(30,1),(32,1),(37,1),(38,1)}
      25:{2,5}:{(18,1),(19,1),(30,1),(31,1)}
      26:{1,6}:{(19,1),(31,1)}
      27:{2,4}:{(20,1),(21,1),(32,1)}
      28:{1,3,5}:{(21,1),(22,1),(23,1),(31,1),(32,1),(33,1),(37,1),(38,1)}
      29:{2,6}:{(22,1),(33,1)}
      30:{2,4}:{(24,1),(25,1),(34,1),(35,1),(39,1)}
      31:{1,5}:{(25,1),(26,1),(35,1)}
      32:{1,4}:{(27,1),(28,1),(36,1)}
      33:{2,5}:{(28,1),(29,1),(36,1),(39,1)}
      34:{2,3}:{(30,1),(37,1),(38,1)}
      35:{1,4}:{(30,1),(31,1),(37,1)}
      36:{2,4}:{(32,1),(33,1),(38,1)}
      37:{1,3}:{(34,1),(35,1),(39,1)}
      38:{3}:{(36,1)}
      39:{2}:{(37,1)}

277 :  0:{2,3,5,6}:{(1,1),(2,1),(10,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2,5,6}:{(1,1),(7,1),(17,1),(25,1)}
       4:{1,4,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{2,4,5}:{(2,1),(8,1),(10,1),(17,1),(28,1)}
       6:{3,4,6}:{(2,1),(10,1)}
       7:{2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,4,5}:{(4,1),(5,1),(11,1),(13,1),(22,1),(26,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(12,1),(13,1),(14,1),(19,1),(21,1),(26,1),(29,1)}
      10:{3,5}:{(5,1),(6,1),(29,1)}
      11:{2,4,5}:{(7,1),(8,1),(15,1),(17,1),(23,1)}
      12:{3,6}:{(7,1),(15,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(15,1),(17,1)}
      14:{2,4,6}:{(9,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(12,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(20,1),(21,1),(29,1)}
      17:{2,5}:{(13,1),(14,1),(22,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(21,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

278 :   0:{1,2,4,5}:{(1,1),(2,1),(8,1),(26,1),(31,1),(32,1),(52,1),(53,1),(94,1),(101,1),(133,1)}
        1:{1,3,5}:{(0,1),(3,1),(4,1),(5,1),(71,1),(121,1)}
        2:{1,2,4,6}:{(0,1),(5,1),(6,1),(17,1),(22,1),(42,1),(74,1),(118,1)}
        3:{1,3,4}:{(1,1),(8,1),(133,1),(139,1)}
        4:{2,3,5}:{(1,1),(8,1),(10,1),(11,1),(31,1),(53,1),(56,1)}
        5:{1,3,6}:{(1,1),(2,1),(11,1),(137,1)}
        6:{1,2,5,6}:{(2,1),(12,1),(31,1),(62,1),(94,1),(97,1),(146,1)}
        7:{1,3,4,5}:{(3,1),(14,1),(15,1),(18,1),(36,1),(79,1),(80,1),(81,1),(121,1),(123,1)}
        8:{2,4}:{(3,1),(4,1),(16,1)}
        9:{1,3,4,6}:{(3,1),(5,1),(17,1),(18,1),(22,1),(51,1)}
       10:{1,3,5}:{(4,1),(16,1),(19,1),(20,1),(45,1),(47,1)}
       11:{2,3,6}:{(4,1),(5,1),(17,1),(20,1),(74,1)}
       12:{1,3,5,6}:{(5,1),(6,1),(18,1),(21,1),(22,1),(114,1),(128,1),(129,1)}
       13:{2,3,4}:{(8,1),(23,1),(24,1),(56,1),(95,1),(139,1)}
       14:{2,4,5}:{(7,1),(8,1),(23,1),(26,1),(27,1),(31,1),(53,1),(95,1),(135,1)}
       15:{1,3,4,6}:{(7,1),(27,1),(28,1),(54,1),(98,1),(99,1),(137,1)}
       16:{1,4}:{(8,1),(10,1)}
       17:{2,4,6}:{(8,1),(9,1),(11,1),(30,1),(31,1)}
       18:{1,3,5}:{(9,1),(31,1),(32,1),(67,1)}
       19:{1,2,5}:{(10,1),(29,1),(33,1),(53,1)}
       20:{1,3,6}:{(10,1),(11,1),(30,1),(33,1)}
       21:{2,3,5,6}:{(11,1),(12,1),(31,1),(34,1),(35,1),(67,1),(97,1),(100,1),(108,1),(109,1),(137,1)}
       22:{1,4,6}:{(12,1),(32,1),(35,1),(133,1)}
       23:{2,3,5}:{(13,1),(14,1),(36,1),(37,1),(121,1)}
       24:{1,3,4}:{(13,1),(16,1),(36,1),(38,1),(45,1),(71,1),(111,1)}
       25:{2,3,4,6}:{(13,1),(17,1),(37,1),(39,1),(40,1),(51,1),(76,1),(77,1),(90,1),(116,1),(120,1),(153,1),(154,1),(156,1),(171,1)}
       26:{1,4,5}:{(14,1),(16,1),(36,1),(42,1),(47,1),(111,1),(147,1)}
       27:{2,4,6}:{(14,1),(15,1),(37,1),(42,1),(43,1),(74,1)}
       28:{1,3,5,6}:{(15,1),(18,1),(43,1),(44,1),(85,1),(123,1)}
       29:{1,2,4}:{(16,1),(19,1),(38,1),(45,1)}
       30:{1,4,6}:{(16,1),(17,1),(20,1),(47,1)}
       31:{2,5}:{(17,1),(18,1),(47,1)}
       32:{1,4,5}:{(18,1),(22,1),(48,1),(128,1)}
       33:{1,2,6}:{(19,1),(20,1),(74,1)}
       34:{1,3,5,6}:{(20,1),(21,1),(47,1),(49,1),(50,1),(86,1),(88,1),(89,1)}
       35:{2,4,6}:{(21,1),(22,1),(48,1),(50,1),(51,1),(120,1)}
       36:{1,3,5}:{(23,1),(24,1),(26,1),(53,1),(54,1)}
       37:{2,3,6}:{(23,1),(27,1),(54,1),(137,1)}
       38:{2,4}:{(24,1),(53,1),(56,1)}
       39:{1,3,4,6}:{(24,1),(25,1),(30,1),(54,1),(57,1),(58,1),(64,1),(93,1),(98,1),(106,1),(110,1),(130,1),(133,1),(137,1),(139,1),(166,1),(167,1),(179,1)}
       40:{2,3,5}:{(25,1),(31,1),(58,1),(59,1),(67,1),(108,1),(135,1),(165,1),(178,1)}
       41:{1,2,4,5}:{(26,1),(29,1),(53,1),(60,1),(61,1),(65,1),(95,1),(101,1),(106,1),(135,1),(142,1)}
       42:{1,4,6}:{(26,1),(27,1),(54,1),(62,1)}
       43:{2,5,6}:{(27,1),(28,1),(31,1),(62,1),(135,1)}
       44:{1,4,5,6}:{(28,1),(32,1),(63,1),(98,1),(142,1),(143,1)}
       45:{1,3}:{(29,1),(56,1)}
       46:{1,2,4,6}:{(29,1),(30,1),(33,1),(57,1),(64,1),(65,1),(106,1),(179,1),(180,1),(181,1)}
       47:{1,5}:{(30,1),(31,1)}
       48:{2,4,5}:{(31,1),(32,1),(35,1),(66,1),(67,1),(108,1)}
       49:{1,2,5,6}:{(33,1),(34,1),(65,1),(68,1),(97,1),(108,1),(143,1)}
       50:{1,4,6}:{(34,1),(35,1),(66,1),(106,1)}
       51:{3,4,6}:{(35,1),(67,1),(137,1),(139,1)}
       52:{1,2,4}:{(38,1),(70,1),(71,1),(111,1)}
       53:{2,5}:{(36,1),(38,1),(74,1)}
       54:{1,3,6}:{(36,1),(37,1),(42,1),(74,1)}
       55:{2,3,5,6}:{(37,1),(40,1),(43,1),(75,1),(76,1),(85,1),(125,1),(154,1)}
       56:{2,3}:{(38,1),(45,1),(71,1)}
       57:{2,4,6}:{(38,1),(39,1),(74,1),(77,1),(78,1),(120,1),(175,1),(176,1)}
       58:{1,3,5}:{(39,1),(40,1),(47,1),(78,1),(79,1),(121,1),(128,1),(147,1),(183,1)}
       59:{2,4,5}:{(40,1),(76,1),(79,1),(80,1),(120,1)}
       60:{1,3,5}:{(41,1),(45,1),(73,1),(81,1),(82,1),(121,1)}
       61:{1,2,4,6}:{(41,1),(42,1),(74,1),(82,1),(83,1),(116,1),(118,1),(124,1)}
       62:{1,5,6}:{(42,1),(43,1),(47,1),(147,1)}
       63:{2,4,5,6}:{(43,1),(44,1),(48,1),(76,1),(84,1),(85,1),(118,1),(125,1),(152,1)}
       64:{1,3,6}:{(45,1),(46,1),(77,1),(86,1),(184,1)}
       65:{1,2,5}:{(46,1),(47,1),(78,1),(86,1),(183,1)}
       66:{1,4,5}:{(47,1),(48,1),(50,1),(88,1)}
       67:{3,5}:{(48,1),(51,1)}
       68:{1,2,4,6}:{(49,1),(50,1),(87,1),(89,1),(90,1),(118,1),(155,1),(175,1)}
       69:{1,3,4,6}:{(50,1),(51,1),(88,1),(89,1),(90,1),(126,1)}
       70:{1,2,5}:{(52,1),(53,1),(91,1),(92,1)}
       71:{1,3}:{(52,1),(56,1)}
       72:{1,2,4,6}:{(52,1),(57,1),(92,1),(93,1),(94,1),(110,1),(130,1),(133,1),(146,1),(169,1)}
       73:{2,3,5}:{(53,1),(56,1),(60,1),(91,1),(95,1),(96,1),(135,1)}
       74:{2,6}:{(53,1),(54,1)}
       75:{1,3,5,6}:{(54,1),(55,1),(58,1),(62,1),(97,1),(98,1),(137,1),(143,1),(166,1)}
       76:{2,4,6}:{(55,1),(59,1),(98,1),(99,1)}
       77:{2,3,6}:{(56,1),(57,1),(64,1),(93,1),(100,1),(137,1),(182,1)}
       78:{2,5}:{(57,1),(58,1)}
       79:{1,4,5}:{(58,1),(59,1),(98,1),(101,1),(106,1),(133,1)}
       80:{3,4,5}:{(59,1),(67,1),(99,1),(139,1),(165,1)}
       81:{1,3,4}:{(60,1),(95,1),(106,1),(139,1)}
       82:{1,3,6}:{(60,1),(61,1),(96,1),(137,1)}
       83:{1,2,5,6}:{(61,1),(62,1),(65,1),(97,1),(104,1),(135,1),(180,1)}
       84:{1,4,5,6}:{(62,1),(63,1),(66,1),(98,1),(105,1),(160,1)}
       85:{3,5,6}:{(63,1),(67,1),(99,1),(137,1),(165,1)}
       86:{1,3,5}:{(64,1),(65,1),(100,1),(106,1)}
       87:{1,2,4,5}:{(65,1),(66,1),(68,1),(101,1),(106,1),(107,1),(108,1),(141,1),(144,1),(168,1),(181,1)}
       88:{1,3,5}:{(66,1),(67,1),(69,1),(108,1)}
       89:{1,3,6}:{(68,1),(107,1),(109,1),(137,1)}
       90:{2,4,6}:{(69,1),(108,1),(109,1),(110,1),(144,1)}
       91:{1,3,5}:{(70,1),(71,1),(73,1),(111,1),(112,1),(147,1)}
       92:{1,2,6}:{(70,1),(74,1),(112,1)}
       93:{1,3,6}:{(71,1),(72,1),(77,1),(114,1),(177,1)}
       94:{1,2,5}:{(72,1),(78,1),(114,1),(128,1),(147,1)}
       95:{2,4}:{(73,1),(81,1),(111,1)}
       96:{2,3,6}:{(73,1),(74,1),(82,1),(112,1),(116,1)}
       97:{2,5,6}:{(74,1),(75,1),(78,1),(118,1),(175,1)}
       98:{1,4,6}:{(75,1),(76,1),(79,1),(118,1)}
       99:{3,4,6}:{(76,1),(80,1),(85,1)}
      100:{2,3,5}:{(77,1),(78,1),(86,1),(114,1),(120,1),(121,1)}
      101:{2,4,5}:{(78,1),(79,1),(118,1),(120,1),(121,1)}
      102:{1,3,4,5}:{(79,1),(80,1),(88,1),(119,1),(121,1),(122,1),(126,1),(150,1),(157,1),(170,1)}
      103:{1,3,4,6}:{(81,1),(82,1),(116,1),(123,1),(124,1),(153,1)}
      104:{1,3,5,6}:{(82,1),(83,1),(86,1),(117,1),(123,1),(124,1),(172,1),(183,1)}
      105:{1,3,5,6}:{(84,1),(85,1),(88,1),(119,1),(125,1),(170,1)}
      106:{1,4}:{(86,1),(120,1)}
      107:{1,3,5}:{(87,1),(89,1),(121,1),(126,1),(127,1),(184,1)}
      108:{2,5}:{(88,1),(90,1),(128,1)}
      109:{2,3,6}:{(89,1),(90,1),(127,1),(129,1),(175,1)}
      110:{1,4,6}:{(90,1),(128,1),(129,1),(158,1)}
      111:{1,4}:{(91,1),(95,1)}
      112:{1,3,6}:{(91,1),(92,1),(96,1),(130,1)}
      113:{1,2,5,6}:{(92,1),(94,1),(97,1),(131,1),(132,1),(143,1),(178,1)}
      114:{1,3,5}:{(93,1),(94,1),(100,1),(133,1)}
      115:{1,2,4,5}:{(94,1),(101,1),(132,1),(133,1),(134,1),(141,1),(160,1),(163,1),(168,1),(169,1),(178,1)}
      116:{2,4,6}:{(95,1),(96,1),(103,1),(130,1),(135,1)}
      117:{2,3,5,6}:{(96,1),(97,1),(100,1),(104,1),(131,1),(135,1),(136,1),(137,1),(162,1),(165,1),(178,1)}
      118:{2,4,6}:{(97,1),(98,1),(101,1),(137,1)}
      119:{1,3,4,6}:{(98,1),(99,1),(102,1),(105,1),(137,1),(138,1),(166,1)}
      120:{2,4}:{(100,1),(106,1),(133,1),(139,1)}
      121:{3,5}:{(101,1),(137,1),(139,1)}
      122:{2,4,5}:{(102,1),(108,1),(138,1),(140,1),(141,1),(144,1),(163,1),(168,1),(178,1)}
      123:{1,3,5}:{(103,1),(135,1),(142,1),(165,1)}
      124:{1,4,6}:{(104,1),(106,1),(136,1),(142,1)}
      125:{2,5,6}:{(105,1),(108,1),(138,1),(143,1),(178,1)}
      126:{1,3,4}:{(106,1),(107,1),(139,1),(144,1)}
      127:{2,3,5}:{(107,1),(108,1),(109,1),(144,1),(145,1),(168,1),(182,1)}
      128:{1,5}:{(108,1),(110,1)}
      129:{1,3,6}:{(109,1),(110,1),(145,1),(146,1)}
      130:{1,4,6}:{(111,1),(112,1),(116,1),(147,1)}
      131:{1,3,5,6}:{(112,1),(113,1),(114,1),(117,1),(147,1),(148,1),(149,1),(170,1)}
      132:{1,2,4,6}:{(113,1),(115,1),(118,1),(148,1),(149,1),(155,1),(171,1),(175,1)}
      133:{1,4}:{(114,1),(120,1)}
      134:{1,3,5}:{(115,1),(121,1),(149,1),(150,1),(151,1),(177,1)}
      135:{2,5}:{(116,1),(123,1),(147,1)}
      136:{2,4,6}:{(117,1),(120,1),(124,1),(148,1),(152,1),(153,1)}
      137:{3,6}:{(118,1),(121,1)}
      138:{2,4,6}:{(119,1),(122,1),(125,1),(154,1),(155,1),(175,1)}
      139:{3,4}:{(120,1),(121,1)}
      140:{2,3,5}:{(121,1),(122,1),(154,1),(156,1),(157,1)}
      141:{1,4,5}:{(122,1),(128,1),(155,1),(157,1),(158,1),(173,1),(183,1)}
      142:{1,4,5}:{(123,1),(124,1),(152,1),(183,1)}
      143:{1,5,6}:{(125,1),(128,1),(155,1),(183,1)}
      144:{2,4}:{(126,1),(127,1),(158,1)}
      145:{1,3,5}:{(127,1),(128,1),(129,1),(158,1),(159,1),(177,1)}
      146:{1,2,6}:{(129,1),(159,1),(175,1)}
      147:{1,5}:{(130,1),(135,1)}
      148:{1,4,6}:{(131,1),(133,1),(136,1),(160,1)}
      149:{1,3,6}:{(132,1),(134,1),(137,1),(162,1)}
      150:{1,3,4}:{(133,1),(134,1),(139,1),(163,1)}
      151:{2,3,5}:{(134,1),(162,1),(163,1),(164,1),(168,1),(178,1),(182,1)}
      152:{2,4,5}:{(135,1),(136,1),(142,1),(160,1),(165,1),(178,1)}
      153:{3,4,6}:{(136,1),(137,1),(139,1),(165,1)}
      154:{2,3,6}:{(137,1),(138,1),(140,1),(166,1)}
      155:{1,4,6}:{(138,1),(141,1),(143,1),(166,1)}
      156:{2,3,4}:{(139,1),(140,1),(144,1),(163,1),(167,1),(182,1)}
      157:{1,3,5}:{(140,1),(141,1),(166,1),(167,1),(168,1)}
      158:{1,4}:{(144,1),(145,1)}
      159:{1,2,5}:{(145,1),(146,1),(168,1),(169,1)}
      160:{1,4,5}:{(147,1),(148,1),(152,1),(170,1)}
      161:{1,3,4,6}:{(148,1),(149,1),(150,1),(153,1),(170,1),(171,1)}
      162:{2,3,6}:{(149,1),(151,1),(171,1),(172,1),(175,1)}
      163:{2,4}:{(150,1),(151,1),(173,1)}
      164:{1,3,5}:{(151,1),(172,1),(173,1),(174,1),(183,1),(184,1)}
      165:{3,5}:{(152,1),(153,1)}
      166:{1,3,6}:{(154,1),(155,1),(157,1),(175,1)}
      167:{1,3,4}:{(156,1),(157,1),(158,1),(173,1),(176,1),(177,1),(184,1)}
      168:{2,5}:{(157,1),(175,1),(176,1)}
      169:{1,2,4}:{(158,1),(159,1),(176,1),(177,1)}
      170:{1,3,5}:{(160,1),(161,1),(165,1),(178,1)}
      171:{2,4,6}:{(161,1),(162,1),(163,1),(178,1),(179,1)}
      172:{1,3,6}:{(162,1),(164,1),(179,1),(180,1)}
      173:{1,4}:{(163,1),(164,1)}
      174:{1,2,5}:{(164,1),(168,1),(180,1),(181,1)}
      175:{2,6}:{(166,1),(168,1)}
      176:{2,4}:{(167,1),(168,1),(182,1)}
      177:{1,3}:{(169,1),(182,1)}
      178:{2,5}:{(170,1),(171,1),(183,1)}
      179:{1,4,6}:{(171,1),(172,1),(173,1),(183,1)}
      180:{1,2,6}:{(172,1),(174,1),(175,1)}
      181:{1,2,4}:{(173,1),(174,1),(176,1),(184,1)}
      182:{2,3}:{(176,1),(177,1),(184,1)}
      183:{1,5}:{(178,1),(179,1)}
      184:{1,3}:{(181,1),(182,1)}

279 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(12,1)}
       1:{1,3,6}:{(0,1),(4,1),(6,1),(44,1)}
       2:{1,2,5}:{(0,1),(6,1),(16,1),(41,1)}
       3:{1,2,6}:{(7,1),(8,1),(42,1)}
       4:{2,3,6}:{(1,1),(7,1),(9,1),(10,1),(37,1),(42,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(25,1),(26,1),(37,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(36,1),(43,1)}
       7:{1,3,6}:{(3,1),(4,1),(13,1),(14,1)}
       8:{1,2,5}:{(3,1),(14,1),(15,1),(39,1)}
       9:{2,4,6}:{(4,1),(5,1),(13,1),(16,1),(17,1)}
      10:{2,3,5}:{(4,1),(6,1),(14,1),(16,1),(17,1),(30,1),(32,1),(39,1)}
      11:{1,3,5}:{(5,1),(16,1),(19,1),(32,1)}
      12:{1,4}:{(6,1),(17,1)}
      13:{1,4,6}:{(7,1),(9,1),(20,1),(21,1)}
      14:{1,3,5}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1)}
      15:{1,2,4}:{(8,1),(21,1),(22,1),(35,1)}
      16:{2,5}:{(9,1),(11,1),(20,1)}
      17:{2,4}:{(10,1),(12,1),(21,1),(25,1)}
      18:{1,3,5,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(43,1)}
      20:{1,5}:{(13,1),(16,1)}
      21:{1,4}:{(14,1),(17,1)}
      22:{1,3}:{(15,1),(30,1)}
      23:{2,5,6}:{(16,1),(18,1),(27,1),(31,1)}
      24:{2,4,5}:{(16,1),(17,1),(19,1),(28,1),(31,1),(32,1),(39,1)}
      25:{3,4}:{(17,1),(32,1)}
      26:{1,4,6}:{(18,1),(19,1),(31,1),(44,1)}
      27:{1,5,6}:{(20,1),(23,1),(33,1)}
      28:{1,4,5}:{(20,1),(21,1),(24,1),(33,1),(34,1)}
      29:{1,3,4}:{(21,1),(22,1),(25,1),(34,1),(35,1)}
      30:{2,3}:{(22,1),(35,1),(36,1)}
      31:{2,4,6}:{(23,1),(24,1),(26,1),(33,1),(37,1),(42,1)}
      32:{3,5}:{(24,1),(25,1),(37,1)}
      33:{1,4,6}:{(27,1),(28,1),(31,1),(38,1)}
      34:{1,3,5}:{(28,1),(29,1),(32,1),(38,1),(39,1)}
      35:{2,4}:{(29,1),(30,1),(39,1),(40,1)}
      36:{1,3}:{(30,1),(40,1),(41,1)}
      37:{3,6}:{(31,1),(32,1)}
      38:{1,3,6}:{(33,1),(34,1),(37,1),(42,1)}
      39:{2,5}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4}:{(35,1),(36,1),(43,1)}
      41:{1,2}:{(36,1)}
      42:{2,6}:{(38,1),(39,1),(44,1)}
      43:{1,5}:{(39,1),(40,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

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

281 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1),(43,1)}
       2:{1,2,5}:{(0,1),(5,1),(13,1),(44,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(24,1),(32,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(9,1),(32,1),(40,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(41,1),(42,1)}
       6:{2,4,6}:{(3,1),(4,1),(12,1),(13,1),(17,1)}
       7:{1,3,5}:{(3,1),(13,1),(14,1),(28,1)}
       8:{1,3,6}:{(4,1),(12,1),(15,1),(16,1)}
       9:{2,3,5}:{(4,1),(5,1),(13,1),(16,1),(17,1),(28,1),(37,1),(38,1)}
      10:{1,4}:{(5,1),(17,1)}
      11:{1,3,5,6}:{(7,1),(18,1),(19,1),(32,1)}
      12:{1,4,6}:{(6,1),(8,1),(20,1),(23,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{1,4,5}:{(7,1),(10,1),(19,1),(21,1),(41,1)}
      15:{1,2,6}:{(8,1),(22,1),(40,1)}
      16:{1,3,5}:{(8,1),(9,1),(20,1),(22,1),(23,1),(34,1)}
      17:{2,4}:{(9,1),(10,1),(23,1),(24,1)}
      18:{2,5,6}:{(11,1),(13,1),(25,1),(26,1)}
      19:{1,4,6}:{(11,1),(14,1),(26,1),(43,1)}
      20:{1,5}:{(12,1),(13,1)}
      21:{2,4,5}:{(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      22:{1,2,5}:{(15,1),(16,1),(29,1),(37,1)}
      23:{1,4}:{(16,1),(17,1)}
      24:{3,4}:{(17,1),(28,1)}
      25:{1,5,6}:{(18,1),(20,1),(31,1)}
      26:{2,4,6}:{(18,1),(19,1),(21,1),(31,1),(32,1),(40,1)}
      27:{1,4,5}:{(20,1),(21,1),(23,1),(31,1),(33,1)}
      28:{3,5}:{(21,1),(24,1),(32,1)}
      29:{1,2,4}:{(22,1),(23,1),(34,1),(35,1)}
      30:{1,3,4}:{(23,1),(24,1),(33,1),(34,1),(35,1)}
      31:{1,4,6}:{(25,1),(26,1),(27,1),(36,1)}
      32:{3,6}:{(26,1),(28,1)}
      33:{1,3,5}:{(27,1),(28,1),(30,1),(36,1),(37,1)}
      34:{1,3}:{(29,1),(38,1)}
      35:{2,4}:{(30,1),(37,1),(38,1),(39,1)}
      36:{1,3,6}:{(31,1),(32,1),(33,1),(40,1)}
      37:{2,5}:{(33,1),(35,1),(40,1),(41,1)}
      38:{2,3}:{(34,1),(35,1),(42,1)}
      39:{1,4}:{(35,1),(41,1),(42,1)}
      40:{2,6}:{(36,1),(37,1),(43,1)}
      41:{1,5}:{(37,1),(39,1),(43,1)}
      42:{1,3}:{(38,1),(39,1),(44,1)}
      43:{1,6}:{(40,1),(41,1)}
      44:{1,2}:{(42,1)}

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

283 :  0:{1,2,5}:{(2,1),(3,1),(4,1),(16,1),(41,1)}
       1:{2,3,5}:{(4,1),(5,1),(6,1),(17,1),(22,1),(23,1),(41,1)}
       2:{1,2,4}:{(0,1),(8,1),(10,1),(29,1)}
       3:{1,2,6}:{(0,1),(9,1),(50,1)}
       4:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(28,1),(31,1),(49,1)}
       5:{2,3,6}:{(1,1),(9,1),(12,1),(34,1),(50,1)}
       6:{2,4}:{(1,1),(10,1),(11,1)}
       7:{2,3,5}:{(4,1),(14,1),(15,1),(17,1),(37,1),(38,1),(41,1)}
       8:{1,3}:{(2,1),(17,1)}
       9:{1,3,6}:{(3,1),(4,1),(5,1),(14,1),(19,1),(54,1)}
      10:{1,4}:{(4,1),(6,1),(15,1)}
      11:{3,4}:{(6,1),(22,1)}
      12:{2,4,6}:{(5,1),(6,1),(19,1),(21,1),(23,1)}
      13:{2,4,5}:{(6,1),(20,1),(22,1),(23,1),(24,1),(41,1),(44,1)}
      14:{2,3,6}:{(7,1),(9,1),(26,1),(47,1),(50,1)}
      15:{2,4}:{(7,1),(10,1),(25,1)}
      16:{1,2}:{(28,1)}
      17:{2,3}:{(8,1),(28,1),(29,1)}
      18:{1,3,4}:{(8,1),(10,1),(11,1),(25,1),(29,1),(30,1)}
      19:{1,4,6}:{(9,1),(10,1),(12,1),(26,1),(31,1)}
      20:{1,4,5}:{(10,1),(13,1),(27,1),(30,1),(31,1),(32,1),(49,1)}
      21:{3,4,6}:{(11,1),(12,1),(33,1),(34,1),(51,1)}
      22:{3,5}:{(11,1),(13,1),(34,1)}
      23:{2,5}:{(12,1),(31,1),(33,1)}
      24:{2,4,6}:{(13,1),(32,1),(34,1),(35,1),(50,1),(51,1)}
      25:{3,4}:{(15,1),(37,1)}
      26:{2,4,6}:{(14,1),(15,1),(19,1),(36,1),(38,1)}
      27:{2,4,5}:{(15,1),(20,1),(37,1),(38,1),(39,1),(41,1),(52,1)}
      28:{1,3}:{(16,1),(17,1),(40,1)}
      29:{2,4}:{(17,1),(18,1),(40,1),(41,1)}
      30:{1,3,5}:{(18,1),(20,1),(22,1),(37,1),(41,1),(42,1)}
      31:{1,5}:{(19,1),(23,1),(38,1)}
      32:{1,4,6}:{(20,1),(24,1),(39,1),(42,1),(43,1),(54,1)}
      33:{3,5}:{(21,1),(23,1),(44,1)}
      34:{3,6}:{(22,1),(24,1)}
      35:{2,5,6}:{(23,1),(24,1),(43,1),(45,1)}
      36:{3,4,6}:{(25,1),(26,1),(46,1),(47,1),(55,1)}
      37:{3,5}:{(25,1),(27,1),(47,1)}
      38:{2,5}:{(26,1),(31,1),(46,1)}
      39:{2,4,6}:{(27,1),(32,1),(47,1),(48,1),(50,1),(55,1)}
      40:{1,4}:{(28,1),(29,1),(49,1)}
      41:{2,5}:{(29,1),(30,1),(49,1),(50,1)}
      42:{1,3,6}:{(30,1),(32,1),(34,1),(47,1),(50,1)}
      43:{1,5,6}:{(31,1),(32,1),(35,1),(48,1)}
      44:{4,5}:{(33,1),(51,1)}
      45:{3,5,6}:{(33,1),(34,1),(35,1),(51,1)}
      46:{3,5}:{(36,1),(38,1),(52,1)}
      47:{3,6}:{(37,1),(39,1)}
      48:{2,5,6}:{(38,1),(39,1),(43,1),(53,1)}
      49:{1,5}:{(40,1),(41,1),(54,1)}
      50:{2,6}:{(41,1),(42,1),(54,1)}
      51:{4,6}:{(44,1),(45,1)}
      52:{4,5}:{(46,1),(55,1)}
      53:{3,5,6}:{(46,1),(47,1),(48,1),(55,1)}
      54:{1,6}:{(49,1),(50,1)}
      55:{4,6}:{(52,1),(53,1)}

284 :  0:{1,2,6}:{(2,1),(3,1),(54,1)}
       1:{2,3,6}:{(3,1),(4,1),(5,1),(43,1),(54,1)}
       2:{1,2,5}:{(0,1),(7,1),(8,1),(25,1),(49,1)}
       3:{1,3,6}:{(0,1),(1,1),(6,1),(8,1),(9,1),(55,1)}
       4:{2,3,5}:{(1,1),(8,1),(11,1),(12,1),(26,1),(32,1),(49,1)}
       5:{2,4,6}:{(1,1),(9,1),(10,1),(11,1),(12,1)}
       6:{2,3,6}:{(3,1),(13,1),(14,1),(52,1),(54,1)}
       7:{1,2,4}:{(2,1),(15,1),(16,1),(39,1)}
       8:{1,3,5}:{(2,1),(3,1),(4,1),(13,1),(15,1),(16,1),(17,1),(38,1),(53,1)}
       9:{1,4,6}:{(3,1),(5,1),(14,1),(16,1),(17,1)}
      10:{3,4,6}:{(5,1),(18,1),(19,1),(42,1),(43,1)}
      11:{2,4}:{(4,1),(16,1),(19,1)}
      12:{2,5}:{(5,1),(17,1),(18,1)}
      13:{2,3,5}:{(6,1),(8,1),(23,1),(24,1),(26,1),(46,1),(49,1)}
      14:{2,4,6}:{(6,1),(9,1),(22,1),(23,1),(24,1)}
      15:{1,3}:{(7,1),(26,1)}
      16:{1,4}:{(8,1),(11,1),(23,1)}
      17:{1,5}:{(9,1),(12,1),(24,1)}
      18:{3,5}:{(10,1),(12,1),(30,1)}
      19:{3,4}:{(11,1),(32,1)}
      20:{2,4,5}:{(11,1),(12,1),(28,1),(30,1),(32,1),(33,1),(49,1)}
      21:{2,5,6}:{(12,1),(29,1),(31,1),(33,1)}
      22:{3,4,6}:{(14,1),(34,1),(35,1),(51,1),(52,1)}
      23:{2,4}:{(13,1),(16,1),(35,1)}
      24:{2,5}:{(14,1),(17,1),(34,1)}
      25:{1,2}:{(38,1)}
      26:{2,3}:{(15,1),(38,1),(39,1)}
      27:{1,3,4}:{(15,1),(16,1),(19,1),(35,1),(39,1),(40,1)}
      28:{1,4,5}:{(16,1),(17,1),(20,1),(36,1),(40,1),(41,1),(53,1)}
      29:{1,5,6}:{(17,1),(21,1),(37,1),(41,1)}
      30:{4,5}:{(18,1),(42,1)}
      31:{3,5,6}:{(18,1),(21,1),(42,1),(43,1)}
      32:{3,5}:{(19,1),(20,1),(43,1)}
      33:{2,4,6}:{(20,1),(21,1),(41,1),(42,1),(43,1),(54,1)}
      34:{3,5}:{(22,1),(24,1),(44,1)}
      35:{3,4}:{(23,1),(46,1)}
      36:{2,4,5}:{(23,1),(24,1),(28,1),(44,1),(46,1),(47,1),(49,1)}
      37:{2,5,6}:{(24,1),(29,1),(45,1),(47,1)}
      38:{1,3}:{(25,1),(26,1),(48,1)}
      39:{2,4}:{(26,1),(27,1),(48,1),(49,1)}
      40:{1,3,5}:{(27,1),(28,1),(32,1),(46,1),(49,1),(50,1)}
      41:{1,4,6}:{(28,1),(29,1),(33,1),(47,1),(50,1),(55,1)}
      42:{4,6}:{(30,1),(31,1)}
      43:{3,6}:{(32,1),(33,1)}
      44:{4,5}:{(34,1),(51,1)}
      45:{3,5,6}:{(34,1),(37,1),(51,1),(52,1)}
      46:{3,5}:{(35,1),(36,1),(52,1)}
      47:{2,4,6}:{(36,1),(37,1),(41,1),(51,1),(52,1),(54,1)}
      48:{1,4}:{(38,1),(39,1),(53,1)}
      49:{2,5}:{(39,1),(40,1),(53,1),(54,1)}
      50:{1,3,6}:{(40,1),(41,1),(43,1),(52,1),(54,1)}
      51:{4,6}:{(44,1),(45,1)}
      52:{3,6}:{(46,1),(47,1)}
      53:{1,5}:{(48,1),(49,1),(55,1)}
      54:{2,6}:{(49,1),(50,1),(55,1)}
      55:{1,6}:{(53,1),(54,1)}

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

286 :  0:{2,3,4}:{(2,1),(3,1),(38,1),(61,1)}
       1:{3,4,5}:{(5,1),(6,1),(67,1),(78,1)}
       2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1)}
       3:{1,3,4}:{(0,1),(7,1),(9,1),(26,1),(52,1),(54,1)}
       4:{2,3,4}:{(11,1),(12,1),(19,1),(44,1)}
       5:{2,4,5}:{(1,1),(2,1),(14,1),(15,1),(61,1),(76,1)}
       6:{3,4,6}:{(1,1),(15,1),(16,1)}
       7:{1,3,5}:{(2,1),(3,1),(14,1),(17,1),(18,1),(41,1)}
       8:{2,3,6}:{(2,1),(15,1),(18,1)}
       9:{2,4}:{(3,1),(17,1),(19,1)}
      10:{3,4,5}:{(20,1),(21,1),(54,1),(72,1)}
      11:{2,3,5}:{(4,1),(20,1),(22,1),(23,1)}
      12:{1,3,4}:{(4,1),(22,1),(24,1),(26,1),(52,1),(67,1)}
      13:{1,2,4}:{(9,1),(24,1),(25,1),(26,1),(52,1)}
      14:{1,4,5}:{(5,1),(7,1),(27,1),(28,1),(52,1),(71,1)}
      15:{2,4,6}:{(5,1),(6,1),(8,1),(28,1),(29,1)}
      16:{3,5,6}:{(6,1),(29,1),(30,1),(78,1)}
      17:{2,5}:{(7,1),(9,1),(32,1)}
      18:{1,3,6}:{(7,1),(8,1),(28,1),(32,1),(55,1)}
      19:{2,3}:{(9,1),(26,1)}
      20:{2,4,5}:{(10,1),(11,1),(33,1),(34,1),(44,1),(66,1)}
      21:{3,4,6}:{(10,1),(34,1),(35,1)}
      22:{1,3,5}:{(11,1),(12,1),(33,1),(36,1),(37,1),(58,1)}
      23:{2,3,6}:{(11,1),(34,1),(37,1)}
      24:{2,4}:{(12,1),(36,1),(38,1)}
      25:{1,2,5}:{(13,1),(17,1),(36,1),(39,1),(40,1)}
      26:{1,3}:{(13,1),(19,1),(38,1)}
      27:{2,4,5}:{(14,1),(17,1),(41,1),(42,1),(44,1),(66,1),(77,1)}
      28:{1,4,6}:{(14,1),(15,1),(18,1),(42,1),(43,1)}
      29:{2,5,6}:{(15,1),(16,1),(43,1),(76,1)}
      30:{4,5,6}:{(16,1),(80,1)}
      31:{2,3,5}:{(17,1),(19,1),(39,1),(41,1),(44,1),(45,1),(66,1)}
      32:{2,6}:{(17,1),(18,1)}
      33:{1,4,5}:{(20,1),(22,1),(46,1),(47,1),(52,1),(71,1)}
      34:{2,4,6}:{(20,1),(21,1),(23,1),(47,1),(48,1)}
      35:{3,5,6}:{(21,1),(48,1),(49,1),(72,1)}
      36:{2,5}:{(22,1),(24,1),(51,1)}
      37:{1,3,6}:{(22,1),(23,1),(47,1),(51,1),(68,1)}
      38:{2,3}:{(24,1),(26,1)}
      39:{1,3,5}:{(25,1),(26,1),(31,1),(50,1),(52,1),(53,1),(71,1)}
      40:{1,2,6}:{(25,1),(32,1),(51,1),(53,1)}
      41:{3,5}:{(27,1),(54,1),(55,1)}
      42:{2,4,6}:{(27,1),(28,1),(32,1),(55,1),(56,1),(73,1)}
      43:{1,5,6}:{(28,1),(29,1),(56,1),(71,1)}
      44:{2,4}:{(31,1),(52,1),(54,1)}
      45:{2,3,6}:{(31,1),(32,1),(53,1),(55,1),(57,1)}
      46:{2,4,5}:{(33,1),(36,1),(58,1),(59,1),(61,1),(76,1),(80,1)}
      47:{1,4,6}:{(33,1),(34,1),(37,1),(59,1),(60,1)}
      48:{2,5,6}:{(34,1),(35,1),(60,1),(66,1)}
      49:{4,5,6}:{(35,1),(77,1)}
      50:{2,3,5}:{(36,1),(38,1),(39,1),(58,1),(61,1),(62,1),(76,1)}
      51:{2,6}:{(36,1),(37,1)}
      52:{1,4}:{(39,1),(44,1),(61,1)}
      53:{1,3,6}:{(39,1),(40,1),(45,1),(62,1),(63,1)}
      54:{3,4}:{(41,1),(44,1)}
      55:{3,6}:{(41,1),(42,1)}
      56:{2,5,6}:{(42,1),(43,1),(65,1),(66,1)}
      57:{2,4,6}:{(44,1),(45,1),(63,1),(64,1),(66,1)}
      58:{3,5}:{(46,1),(67,1),(68,1)}
      59:{2,4,6}:{(46,1),(47,1),(51,1),(68,1),(69,1),(79,1)}
      60:{1,5,6}:{(47,1),(48,1),(69,1),(71,1)}
      61:{2,4}:{(50,1),(52,1),(67,1)}
      62:{2,3,6}:{(50,1),(51,1),(53,1),(68,1),(70,1)}
      63:{1,4,6}:{(52,1),(53,1),(57,1),(70,1),(71,1)}
      64:{3,4,6}:{(54,1),(55,1),(57,1),(72,1),(73,1)}
      65:{3,5,6}:{(55,1),(56,1),(72,1),(73,1)}
      66:{2,5}:{(57,1),(71,1),(72,1)}
      67:{3,4}:{(58,1),(61,1)}
      68:{3,6}:{(58,1),(59,1)}
      69:{2,5,6}:{(59,1),(60,1),(75,1),(76,1)}
      70:{2,4,6}:{(61,1),(62,1),(63,1),(74,1),(76,1)}
      71:{1,5}:{(63,1),(66,1),(76,1)}
      72:{3,5}:{(64,1),(66,1),(77,1)}
      73:{4,6}:{(65,1),(77,1)}
      74:{3,4,6}:{(67,1),(68,1),(70,1),(78,1),(79,1)}
      75:{3,5,6}:{(68,1),(69,1),(78,1),(79,1)}
      76:{2,5}:{(70,1),(71,1),(78,1)}
      77:{4,5}:{(72,1),(73,1)}
      78:{3,5}:{(74,1),(76,1),(80,1)}
      79:{4,6}:{(75,1),(80,1)}
      80:{4,5}:{(78,1),(79,1)}

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

288 :   0:{1,3,4,5}:{(2,1),(3,1),(10,1),(15,1),(38,1),(89,1),(90,1),(130,1)}
        1:{1,2,4,5}:{(4,1),(5,1),(7,1),(21,1),(28,1),(54,1),(57,1),(59,1),(60,1),(94,1),(104,1),(110,1),(138,1),(141,1)}
        2:{2,4,5}:{(0,1),(6,1),(7,1),(8,1),(21,1),(28,1),(59,1)}
        3:{1,3,4,6}:{(0,1),(8,1),(9,1),(29,1),(69,1),(70,1),(112,1)}
        4:{1,3,5}:{(1,1),(10,1),(11,1),(12,1),(80,1),(130,1),(153,1)}
        5:{1,2,4,6}:{(1,1),(12,1),(13,1),(17,1),(37,1),(42,1),(46,1),(77,1),(91,1),(115,1),(150,1)}
        6:{2,3,5}:{(2,1),(14,1),(15,1),(16,1),(130,1)}
        7:{1,4,5}:{(2,1),(15,1),(17,1),(36,1),(82,1)}
        8:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(46,1)}
        9:{1,3,5,6}:{(3,1),(18,1),(19,1),(38,1),(50,1)}
       10:{1,3,4}:{(4,1),(21,1),(141,1),(146,1),(165,1)}
       11:{2,3,5}:{(4,1),(21,1),(23,1),(24,1),(28,1),(59,1),(64,1),(94,1),(97,1)}
       12:{1,3,6}:{(4,1),(5,1),(24,1),(112,1),(163,1)}
       13:{1,2,5,6}:{(5,1),(25,1),(31,1),(59,1),(68,1),(101,1),(104,1),(134,1),(171,1)}
       14:{2,3,4}:{(6,1),(21,1),(26,1),(97,1),(146,1)}
       15:{1,3,5}:{(6,1),(7,1),(26,1),(28,1),(29,1)}
       16:{2,3,6}:{(6,1),(8,1),(29,1),(112,1)}
       17:{1,4,6}:{(7,1),(8,1),(29,1),(31,1)}
       18:{2,5,6}:{(8,1),(9,1),(31,1),(59,1)}
       19:{1,4,5,6}:{(9,1),(32,1),(60,1),(69,1),(114,1)}
       20:{1,3,4,5}:{(10,1),(34,1),(35,1),(38,1),(72,1),(120,1),(121,1),(153,1)}
       21:{2,4}:{(10,1),(11,1),(36,1)}
       22:{1,3,4,6}:{(10,1),(12,1),(37,1),(38,1),(42,1),(86,1)}
       23:{1,3,5}:{(11,1),(36,1),(39,1),(40,1),(80,1),(82,1)}
       24:{2,3,6}:{(11,1),(12,1),(37,1),(40,1),(46,1),(115,1)}
       25:{1,3,5,6}:{(12,1),(13,1),(38,1),(41,1),(42,1),(124,1),(158,1),(159,1)}
       26:{1,3,4}:{(14,1),(15,1),(36,1),(43,1),(80,1)}
       27:{2,3,4,6}:{(14,1),(16,1),(37,1),(44,1),(45,1),(48,1),(86,1),(118,1),(128,1),(132,1),(152,1),(160,1)}
       28:{2,5}:{(15,1),(43,1),(46,1)}
       29:{1,3,6}:{(15,1),(16,1),(17,1),(46,1)}
       30:{2,3,5,6}:{(16,1),(18,1),(45,1),(47,1),(48,1),(50,1),(93,1),(132,1)}
       31:{1,5,6}:{(17,1),(18,1),(82,1)}
       32:{2,4,5,6}:{(18,1),(19,1),(48,1),(49,1),(50,1),(83,1),(91,1),(93,1)}
       33:{2,3,4}:{(21,1),(51,1),(52,1),(64,1),(165,1)}
       34:{2,4,5}:{(20,1),(21,1),(51,1),(54,1),(55,1),(59,1),(94,1)}
       35:{1,3,4,6}:{(20,1),(55,1),(56,1),(95,1),(135,1),(136,1),(163,1)}
       36:{1,4}:{(21,1),(23,1)}
       37:{2,4,6}:{(21,1),(22,1),(24,1),(58,1),(59,1)}
       38:{1,3,5}:{(22,1),(59,1),(60,1),(106,1)}
       39:{1,2,5}:{(23,1),(28,1),(57,1),(61,1),(94,1)}
       40:{1,3,6}:{(23,1),(24,1),(58,1),(61,1)}
       41:{2,3,5,6}:{(24,1),(25,1),(59,1),(62,1),(63,1),(68,1),(106,1),(109,1),(112,1),(134,1),(137,1),(143,1),(144,1),(163,1)}
       42:{1,4,6}:{(25,1),(60,1),(63,1),(141,1)}
       43:{2,4}:{(26,1),(28,1),(64,1)}
       44:{1,3,4,6}:{(26,1),(27,1),(29,1),(58,1),(65,1),(66,1),(69,1),(103,1),(112,1),(141,1),(145,1),(146,1),(149,1),(172,1)}
       45:{2,3,5}:{(27,1),(59,1),(66,1),(67,1),(106,1),(143,1)}
       46:{2,6}:{(28,1),(29,1)}
       47:{1,3,5,6}:{(29,1),(30,1),(31,1),(66,1),(68,1),(69,1),(112,1),(114,1),(149,1)}
       48:{2,4,6}:{(30,1),(67,1),(69,1),(70,1)}
       49:{1,4,5,6}:{(31,1),(32,1),(69,1),(71,1),(105,1)}
       50:{3,5,6}:{(32,1),(70,1),(106,1),(112,1)}
       51:{2,3,5}:{(33,1),(34,1),(72,1),(73,1),(153,1)}
       52:{1,3,4}:{(33,1),(36,1),(72,1),(74,1),(80,1)}
       53:{2,3,4,6}:{(33,1),(37,1),(73,1),(75,1),(76,1),(86,1),(87,1),(117,1),(128,1),(129,1),(174,1),(176,1)}
       54:{1,4,5}:{(34,1),(36,1),(72,1),(77,1),(82,1)}
       55:{2,4,6}:{(34,1),(35,1),(73,1),(77,1),(78,1),(115,1)}
       56:{1,3,5,6}:{(35,1),(38,1),(78,1),(79,1),(123,1)}
       57:{1,2,4}:{(36,1),(39,1),(43,1),(74,1),(80,1)}
       58:{1,4,6}:{(36,1),(37,1),(40,1),(82,1)}
       59:{2,5}:{(37,1),(38,1),(82,1)}
       60:{1,4,5}:{(38,1),(42,1),(83,1),(158,1)}
       61:{1,2,6}:{(39,1),(40,1),(46,1),(115,1)}
       62:{1,3,5,6}:{(40,1),(41,1),(82,1),(84,1),(85,1),(124,1),(126,1),(127,1)}
       63:{2,4,6}:{(41,1),(42,1),(83,1),(85,1),(86,1),(129,1),(152,1)}
       64:{2,3}:{(43,1),(80,1)}
       65:{2,4,6}:{(43,1),(44,1),(46,1),(87,1),(88,1),(129,1),(162,1),(180,1)}
       66:{1,3,5}:{(44,1),(45,1),(82,1),(88,1),(89,1),(130,1),(158,1)}
       67:{2,4,5}:{(45,1),(48,1),(89,1),(90,1),(152,1)}
       68:{2,5,6}:{(46,1),(47,1),(88,1),(91,1),(162,1)}
       69:{1,4,6}:{(47,1),(48,1),(89,1),(91,1)}
       70:{3,4,6}:{(48,1),(50,1),(90,1)}
       71:{1,3,5,6}:{(49,1),(50,1),(92,1),(93,1),(126,1)}
       72:{1,3,5}:{(51,1),(52,1),(54,1),(94,1),(95,1)}
       73:{2,3,6}:{(51,1),(55,1),(95,1),(163,1)}
       74:{2,4}:{(52,1),(94,1),(97,1)}
       75:{1,3,4,6}:{(52,1),(53,1),(58,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(145,1),(163,1),(165,1),(181,1),(182,1)}
       76:{2,3,5}:{(53,1),(59,1),(99,1),(100,1),(106,1),(143,1)}
       77:{1,4,6}:{(54,1),(55,1),(95,1),(101,1)}
       78:{2,5,6}:{(55,1),(56,1),(59,1),(101,1)}
       79:{1,4,5,6}:{(56,1),(60,1),(102,1),(135,1),(168,1)}
       80:{1,3}:{(57,1),(64,1),(97,1)}
       81:{1,2,4,6}:{(57,1),(58,1),(61,1),(65,1),(98,1),(103,1),(104,1),(141,1),(145,1),(171,1),(184,1)}
       82:{1,5}:{(58,1),(59,1)}
       83:{2,4,5}:{(59,1),(60,1),(63,1),(105,1),(106,1),(143,1)}
       84:{1,2,5,6}:{(61,1),(62,1),(68,1),(104,1),(107,1),(114,1),(134,1),(143,1),(168,1)}
       85:{1,4,6}:{(62,1),(63,1),(105,1),(141,1)}
       86:{3,4,6}:{(63,1),(106,1),(112,1),(146,1),(163,1),(165,1)}
       87:{2,3,6}:{(64,1),(65,1),(103,1),(109,1),(112,1),(185,1)}
       88:{2,5}:{(65,1),(66,1)}
       89:{1,4,5}:{(66,1),(67,1),(69,1),(110,1),(141,1)}
       90:{3,4,5}:{(67,1),(70,1),(106,1),(165,1)}
       91:{2,4,6}:{(68,1),(69,1),(110,1),(112,1)}
       92:{1,3,4,6}:{(69,1),(70,1),(71,1),(111,1),(112,1),(113,1),(149,1)}
       93:{2,5,6}:{(71,1),(113,1),(114,1),(143,1)}
       94:{2,5}:{(72,1),(74,1),(115,1)}
       95:{1,3,6}:{(72,1),(73,1),(77,1),(115,1)}
       96:{2,3,5,6}:{(73,1),(76,1),(78,1),(116,1),(117,1),(123,1),(155,1),(174,1)}
       97:{2,3}:{(74,1),(80,1)}
       98:{2,4,6}:{(74,1),(75,1),(115,1),(118,1),(119,1),(152,1),(186,1),(187,1)}
       99:{1,3,5}:{(75,1),(76,1),(82,1),(119,1),(120,1),(153,1),(158,1)}
      100:{2,4,5}:{(76,1),(117,1),(120,1),(121,1),(129,1)}
      101:{1,5,6}:{(77,1),(78,1),(82,1)}
      102:{2,4,5,6}:{(78,1),(79,1),(83,1),(117,1),(122,1),(123,1),(150,1),(155,1)}
      103:{1,3,6}:{(80,1),(81,1),(87,1),(118,1),(124,1),(188,1)}
      104:{1,2,5}:{(81,1),(82,1),(88,1),(119,1),(124,1),(158,1)}
      105:{1,4,5}:{(82,1),(83,1),(85,1),(126,1)}
      106:{3,5}:{(83,1),(86,1)}
      107:{1,2,4,6}:{(84,1),(85,1),(91,1),(125,1),(127,1),(128,1),(133,1),(150,1),(162,1),(175,1),(186,1)}
      108:{1,3,4,6}:{(85,1),(86,1),(126,1),(127,1),(128,1),(156,1)}
      109:{2,3,5}:{(87,1),(88,1),(124,1),(129,1),(130,1)}
      110:{2,4,5}:{(88,1),(89,1),(91,1),(129,1),(130,1)}
      111:{1,3,4,5}:{(89,1),(90,1),(92,1),(126,1),(130,1),(131,1),(156,1),(161,1)}
      112:{3,6}:{(91,1),(130,1)}
      113:{2,4,6}:{(92,1),(93,1),(131,1),(132,1),(133,1),(162,1)}
      114:{1,5,6}:{(93,1),(133,1),(158,1)}
      115:{2,6}:{(94,1),(95,1)}
      116:{1,3,5,6}:{(95,1),(96,1),(99,1),(101,1),(134,1),(135,1),(163,1),(168,1),(181,1)}
      117:{2,4,6}:{(96,1),(100,1),(135,1),(136,1)}
      118:{2,3,6}:{(97,1),(98,1),(103,1),(137,1),(163,1),(189,1)}
      119:{2,5}:{(98,1),(99,1)}
      120:{1,4,5}:{(99,1),(100,1),(135,1),(138,1),(141,1)}
      121:{3,4,5}:{(100,1),(106,1),(136,1),(146,1)}
      122:{1,4,5,6}:{(101,1),(102,1),(105,1),(135,1),(140,1)}
      123:{3,5,6}:{(102,1),(106,1),(136,1),(163,1)}
      124:{1,3,5}:{(103,1),(104,1),(109,1),(137,1),(141,1)}
      125:{1,2,4,5}:{(104,1),(105,1),(107,1),(110,1),(138,1),(141,1),(142,1),(143,1),(148,1),(167,1),(169,1),(173,1),(183,1),(184,1)}
      126:{1,3,5}:{(105,1),(106,1),(108,1),(143,1)}
      127:{1,3,6}:{(107,1),(112,1),(142,1),(144,1),(163,1)}
      128:{2,4,6}:{(108,1),(143,1),(144,1),(145,1),(169,1)}
      129:{2,4}:{(109,1),(141,1),(146,1)}
      130:{3,5}:{(110,1),(112,1),(146,1)}
      131:{2,4,5}:{(111,1),(113,1),(143,1),(147,1),(148,1),(169,1),(173,1)}
      132:{2,3,6}:{(112,1),(113,1),(147,1),(149,1)}
      133:{1,4,6}:{(113,1),(114,1),(148,1),(149,1)}
      134:{2,5,6}:{(115,1),(116,1),(119,1),(150,1),(186,1)}
      135:{1,4,6}:{(116,1),(117,1),(120,1),(150,1)}
      136:{3,4,6}:{(117,1),(121,1),(123,1)}
      137:{2,3,5}:{(118,1),(119,1),(124,1),(152,1),(153,1)}
      138:{2,4,5}:{(119,1),(120,1),(150,1),(152,1),(153,1)}
      139:{1,3,4,5}:{(120,1),(121,1),(126,1),(151,1),(153,1),(154,1),(156,1),(177,1)}
      140:{1,3,5,6}:{(122,1),(123,1),(126,1),(151,1),(155,1)}
      141:{1,4}:{(124,1),(129,1),(152,1)}
      142:{1,3,5}:{(125,1),(127,1),(130,1),(153,1),(156,1),(157,1),(188,1)}
      143:{2,5}:{(126,1),(128,1),(158,1)}
      144:{2,3,6}:{(127,1),(128,1),(157,1),(159,1),(162,1),(186,1)}
      145:{1,4,6}:{(128,1),(158,1),(159,1),(178,1)}
      146:{3,4}:{(129,1),(130,1)}
      147:{2,3,5}:{(130,1),(131,1),(132,1),(160,1),(161,1)}
      148:{1,4,5}:{(131,1),(133,1),(158,1),(161,1),(178,1)}
      149:{1,3,6}:{(132,1),(133,1),(161,1),(162,1)}
      150:{2,4,6}:{(134,1),(135,1),(138,1),(163,1)}
      151:{1,3,4,6}:{(135,1),(136,1),(139,1),(140,1),(163,1),(164,1),(181,1)}
      152:{2,4}:{(137,1),(141,1),(165,1)}
      153:{3,5}:{(138,1),(163,1),(165,1)}
      154:{2,4,5}:{(139,1),(143,1),(164,1),(166,1),(167,1),(169,1),(183,1)}
      155:{2,5,6}:{(140,1),(143,1),(164,1),(168,1)}
      156:{1,3,4}:{(141,1),(142,1),(146,1),(165,1),(169,1)}
      157:{2,3,5}:{(142,1),(143,1),(144,1),(169,1),(170,1),(173,1),(183,1),(185,1),(189,1)}
      158:{1,5}:{(143,1),(145,1)}
      159:{1,3,6}:{(144,1),(145,1),(170,1),(171,1)}
      160:{2,3,4}:{(146,1),(147,1),(169,1),(172,1),(189,1)}
      161:{1,3,5}:{(147,1),(148,1),(149,1),(172,1),(173,1)}
      162:{2,6}:{(149,1),(173,1)}
      163:{3,6}:{(150,1),(153,1)}
      164:{2,4,6}:{(151,1),(154,1),(155,1),(174,1),(175,1),(186,1)}
      165:{3,4}:{(152,1),(153,1)}
      166:{2,3,5}:{(153,1),(154,1),(174,1),(176,1),(177,1)}
      167:{1,4,5}:{(154,1),(158,1),(175,1),(177,1),(178,1)}
      168:{1,5,6}:{(155,1),(158,1),(175,1)}
      169:{2,4}:{(156,1),(157,1),(178,1)}
      170:{1,3,5}:{(157,1),(158,1),(159,1),(178,1),(179,1),(188,1)}
      171:{1,2,6}:{(159,1),(162,1),(179,1),(186,1)}
      172:{1,3,4}:{(160,1),(161,1),(178,1),(180,1),(188,1)}
      173:{2,5}:{(161,1),(162,1),(180,1)}
      174:{2,3,6}:{(163,1),(164,1),(166,1),(181,1)}
      175:{1,4,6}:{(164,1),(167,1),(168,1),(181,1)}
      176:{2,3,4}:{(165,1),(166,1),(169,1),(182,1),(185,1)}
      177:{1,3,5}:{(166,1),(167,1),(181,1),(182,1),(183,1)}
      178:{1,4}:{(169,1),(170,1)}
      179:{1,2,5}:{(170,1),(171,1),(173,1),(183,1),(184,1)}
      180:{2,4}:{(172,1),(173,1),(185,1)}
      181:{1,3,6}:{(174,1),(175,1),(177,1),(186,1)}
      182:{1,3,4}:{(176,1),(177,1),(178,1),(187,1),(188,1)}
      183:{2,5}:{(177,1),(186,1),(187,1)}
      184:{1,2,4}:{(178,1),(179,1),(180,1),(187,1),(188,1)}
      185:{2,3}:{(180,1),(188,1)}
      186:{2,6}:{(181,1),(183,1)}
      187:{2,4}:{(182,1),(183,1),(189,1)}
      188:{1,3}:{(184,1),(185,1),(189,1)}
      189:{2,3}:{(187,1),(188,1)}

289 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(42,1)}
       1:{1,3,4,5}:{(0,1),(3,1),(4,1),(11,1),(40,1),(41,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(26,1),(39,1)}
       3:{2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,3,4,6}:{(1,1),(2,1),(8,1),(9,1),(20,1),(35,1),(37,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(10,1)}
       6:{1,2,4,5}:{(3,1),(11,1),(12,1),(25,1),(38,1),(40,1)}
       7:{2,3,5}:{(3,1),(11,1),(13,1),(14,1)}
       8:{2,4,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(15,1),(16,1),(31,1)}
      10:{2,4,5,6}:{(5,1),(16,1),(17,1),(39,1)}
      11:{1,3,5}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
      12:{1,2,4,6}:{(6,1),(8,1),(20,1),(21,1),(32,1),(35,1)}
      13:{2,3,4}:{(7,1),(19,1)}
      14:{2,3,6}:{(7,1),(8,1),(20,1)}
      15:{2,5,6}:{(8,1),(9,1)}
      16:{1,4,5,6}:{(9,1),(10,1),(24,1),(35,1)}
      17:{3,4,5,6}:{(10,1),(43,1)}
      18:{2,3,5}:{(11,1),(25,1),(26,1),(38,1)}
      19:{1,3,4}:{(11,1),(13,1),(25,1)}
      20:{1,3,6}:{(11,1),(12,1),(14,1),(26,1)}
      21:{1,2,5,6}:{(12,1),(15,1),(28,1),(38,1)}
      22:{2,3,4,6}:{(13,1),(14,1),(27,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(14,1),(15,1),(28,1),(29,1),(30,1),(31,1)}
      24:{2,4,5,6}:{(15,1),(16,1),(30,1),(31,1)}
      25:{2,4}:{(18,1),(19,1)}
      26:{2,3,6}:{(18,1),(20,1),(32,1)}
      27:{1,3,4,6}:{(19,1),(20,1),(22,1),(32,1),(34,1),(35,1),(43,1)}
      28:{1,3,5,6}:{(20,1),(21,1),(23,1),(33,1),(34,1),(35,1)}
      29:{2,3,5}:{(22,1),(34,1),(36,1)}
      30:{2,4,6}:{(23,1),(35,1),(36,1),(37,1)}
      31:{3,5,6}:{(24,1),(37,1)}
      32:{2,4,6}:{(25,1),(26,1),(27,1),(38,1)}
      33:{2,3,5,6}:{(26,1),(28,1),(38,1),(39,1),(44,1)}
      34:{1,3,5}:{(27,1),(29,1),(38,1),(40,1),(44,1)}
      35:{1,4,6}:{(28,1),(30,1),(39,1),(40,1)}
      36:{2,4,5}:{(29,1),(30,1),(40,1),(41,1)}
      37:{3,4,6}:{(30,1),(31,1),(41,1)}
      38:{2,5}:{(32,1),(34,1)}
      39:{2,4,6}:{(33,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(34,1),(35,1),(36,1),(42,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,4,6}:{(39,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

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

291 :  0:{3,4,5}:{(1,1),(2,1),(62,1),(76,1)}
       1:{2,4,5}:{(0,1),(4,1),(5,1),(6,1),(52,1),(73,1)}
       2:{3,4,6}:{(0,1),(6,1),(7,1)}
       3:{2,3,4}:{(4,1),(8,1),(38,1),(52,1)}
       4:{2,3,5}:{(1,1),(3,1),(9,1),(10,1)}
       5:{1,4,5}:{(1,1),(9,1),(11,1),(12,1),(42,1),(66,1)}
       6:{2,4,6}:{(1,1),(2,1),(10,1),(12,1),(13,1)}
       7:{3,5,6}:{(2,1),(13,1),(14,1),(76,1)}
       8:{1,3,4}:{(3,1),(9,1),(15,1),(26,1),(29,1),(42,1)}
       9:{1,3,5}:{(4,1),(5,1),(8,1),(16,1),(17,1),(18,1)}
      10:{2,3,6}:{(4,1),(6,1),(17,1)}
      11:{2,4,5}:{(5,1),(16,1),(18,1),(19,1),(33,1),(57,1),(59,1)}
      12:{1,4,6}:{(5,1),(6,1),(17,1),(19,1),(20,1)}
      13:{2,5,6}:{(6,1),(7,1),(20,1),(73,1)}
      14:{4,5,6}:{(7,1),(79,1)}
      15:{2,4}:{(8,1),(16,1),(22,1)}
      16:{2,5}:{(9,1),(15,1),(25,1)}
      17:{1,3,6}:{(9,1),(10,1),(12,1),(25,1),(27,1)}
      18:{3,5}:{(11,1),(26,1),(27,1)}
      19:{2,4,6}:{(11,1),(12,1),(25,1),(27,1),(28,1),(48,1)}
      20:{1,5,6}:{(12,1),(13,1),(28,1),(66,1)}
      21:{1,2,4}:{(15,1),(23,1),(29,1),(42,1),(49,1)}
      22:{2,3}:{(15,1),(29,1)}
      23:{1,2,5}:{(16,1),(21,1),(31,1),(32,1),(60,1)}
      24:{2,3,5}:{(16,1),(18,1),(22,1),(31,1),(33,1),(34,1),(57,1)}
      25:{2,6}:{(16,1),(17,1)}
      26:{3,4}:{(18,1),(33,1)}
      27:{3,6}:{(18,1),(19,1)}
      28:{2,5,6}:{(19,1),(20,1),(37,1),(57,1)}
      29:{1,3}:{(21,1),(22,1),(38,1)}
      30:{2,3,4}:{(22,1),(33,1),(39,1),(40,1)}
      31:{1,3,5}:{(23,1),(24,1),(29,1),(41,1),(42,1),(43,1),(66,1)}
      32:{1,2,6}:{(23,1),(25,1),(43,1),(69,1)}
      33:{2,4}:{(24,1),(26,1),(42,1)}
      34:{2,3,6}:{(24,1),(25,1),(27,1),(43,1),(45,1)}
      35:{3,4,5}:{(26,1),(44,1),(46,1),(47,1)}
      36:{3,4,6}:{(26,1),(27,1),(45,1),(47,1),(48,1)}
      37:{3,5,6}:{(27,1),(28,1),(47,1),(48,1)}
      38:{2,3}:{(29,1),(49,1)}
      39:{1,3,4}:{(29,1),(30,1),(42,1),(49,1),(50,1),(62,1)}
      40:{2,3,5}:{(30,1),(44,1),(50,1),(51,1)}
      41:{2,3,5}:{(31,1),(38,1),(52,1),(53,1),(60,1),(70,1),(73,1)}
      42:{1,4}:{(31,1),(33,1),(52,1)}
      43:{1,3,6}:{(31,1),(32,1),(34,1),(53,1),(55,1)}
      44:{2,4,5}:{(33,1),(35,1),(40,1),(54,1),(56,1),(57,1)}
      45:{2,4,6}:{(33,1),(34,1),(36,1),(55,1),(57,1)}
      46:{3,4,6}:{(35,1),(56,1),(58,1)}
      47:{3,5}:{(36,1),(57,1),(59,1)}
      48:{4,6}:{(37,1),(59,1)}
      49:{2,4}:{(38,1),(39,1),(60,1)}
      50:{1,3,5}:{(39,1),(40,1),(54,1),(60,1),(61,1),(70,1)}
      51:{2,3,6}:{(40,1),(56,1),(61,1)}
      52:{2,4}:{(41,1),(42,1),(62,1)}
      53:{2,3,6}:{(41,1),(43,1),(64,1),(69,1),(75,1)}
      54:{1,4,5}:{(42,1),(44,1),(50,1),(63,1),(65,1),(66,1)}
      55:{1,4,6}:{(42,1),(43,1),(45,1),(64,1),(66,1)}
      56:{2,4,6}:{(44,1),(46,1),(51,1),(65,1),(67,1)}
      57:{2,5}:{(45,1),(47,1),(66,1)}
      58:{3,5,6}:{(46,1),(47,1),(67,1),(68,1)}
      59:{4,5}:{(47,1),(48,1)}
      60:{2,5}:{(49,1),(50,1),(69,1)}
      61:{1,3,6}:{(50,1),(51,1),(65,1),(69,1),(75,1)}
      62:{3,4}:{(52,1),(70,1)}
      63:{2,4,5}:{(52,1),(54,1),(60,1),(70,1),(72,1),(73,1),(79,1)}
      64:{2,4,6}:{(52,1),(53,1),(55,1),(71,1),(73,1)}
      65:{1,4,6}:{(54,1),(56,1),(61,1),(72,1),(74,1)}
      66:{1,5}:{(55,1),(57,1),(73,1)}
      67:{2,5,6}:{(56,1),(57,1),(58,1),(74,1)}
      68:{4,5,6}:{(58,1),(59,1)}
      69:{2,6}:{(60,1),(61,1)}
      70:{3,5}:{(62,1),(63,1),(75,1)}
      71:{3,4,6}:{(62,1),(64,1),(75,1),(76,1),(80,1)}
      72:{2,4,6}:{(63,1),(65,1),(69,1),(75,1),(77,1),(80,1)}
      73:{2,5}:{(64,1),(66,1),(76,1)}
      74:{1,5,6}:{(65,1),(66,1),(67,1),(77,1)}
      75:{3,6}:{(70,1),(72,1)}
      76:{3,5}:{(71,1),(73,1),(79,1)}
      77:{2,5,6}:{(72,1),(73,1),(74,1),(78,1)}
      78:{3,5,6}:{(75,1),(76,1),(77,1),(80,1)}
      79:{4,5}:{(76,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

292 :  0:{2,3,5,6}:{(1,1),(2,1),(10,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2,5,6}:{(1,1),(7,1),(17,1),(25,1)}
       4:{1,4,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{2,4,5}:{(2,1),(8,1),(10,1),(17,1),(28,1)}
       6:{3,4,6}:{(2,1),(10,1)}
       7:{2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,4,5}:{(4,1),(5,1),(11,1),(13,1),(22,1),(26,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(12,1),(13,1),(14,1),(19,1),(21,1),(26,1),(29,1)}
      10:{3,5}:{(5,1),(6,1),(29,1)}
      11:{2,4,5}:{(7,1),(8,1),(15,1),(17,1),(23,1)}
      12:{3,6}:{(7,1),(15,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(15,1),(17,1)}
      14:{2,4,6}:{(9,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(12,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(20,1),(21,1),(29,1)}
      17:{2,5}:{(13,1),(14,1),(22,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(21,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

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

294 :  0:{1,2,6}:{(3,1),(4,1),(53,1)}
       1:{2,3,6}:{(3,1),(5,1),(6,1),(42,1),(53,1)}
       2:{3,4,6}:{(5,1),(7,1),(23,1),(24,1),(42,1)}
       3:{1,3,6}:{(0,1),(1,1),(8,1),(9,1),(10,1),(55,1)}
       4:{1,2,5}:{(0,1),(10,1),(11,1),(48,1),(50,1)}
       5:{2,4,6}:{(1,1),(2,1),(9,1),(12,1),(13,1)}
       6:{2,3,5}:{(1,1),(10,1),(12,1),(13,1),(31,1),(33,1),(48,1)}
       7:{3,5}:{(2,1),(12,1),(15,1)}
       8:{2,3,6}:{(3,1),(16,1),(17,1),(52,1),(53,1)}
       9:{1,4,6}:{(3,1),(5,1),(16,1),(18,1),(19,1)}
      10:{1,3,5}:{(3,1),(4,1),(6,1),(17,1),(18,1),(19,1),(20,1),(41,1),(54,1)}
      11:{1,2,4}:{(4,1),(19,1),(20,1),(40,1)}
      12:{2,5}:{(5,1),(7,1),(18,1)}
      13:{2,4}:{(6,1),(19,1),(23,1)}
      14:{3,5,6}:{(7,1),(21,1),(24,1),(42,1)}
      15:{4,5}:{(7,1),(24,1)}
      16:{2,4,6}:{(8,1),(9,1),(25,1),(26,1),(27,1)}
      17:{2,3,5}:{(8,1),(10,1),(26,1),(27,1),(31,1),(46,1),(48,1)}
      18:{1,5}:{(9,1),(12,1),(26,1)}
      19:{1,4}:{(10,1),(13,1),(27,1)}
      20:{1,3}:{(11,1),(31,1)}
      21:{2,5,6}:{(12,1),(14,1),(28,1),(32,1)}
      22:{2,4,5}:{(12,1),(13,1),(15,1),(29,1),(32,1),(33,1),(48,1)}
      23:{3,4}:{(13,1),(33,1)}
      24:{4,6}:{(14,1),(15,1)}
      25:{3,4,6}:{(16,1),(34,1),(37,1),(51,1),(52,1)}
      26:{2,5}:{(16,1),(18,1),(34,1)}
      27:{2,4}:{(17,1),(19,1),(37,1)}
      28:{1,5,6}:{(18,1),(21,1),(35,1),(38,1)}
      29:{1,4,5}:{(18,1),(19,1),(22,1),(36,1),(38,1),(39,1),(54,1)}
      30:{1,3,4}:{(19,1),(20,1),(23,1),(37,1),(39,1),(40,1)}
      31:{2,3}:{(20,1),(40,1),(41,1)}
      32:{2,4,6}:{(21,1),(22,1),(24,1),(38,1),(42,1),(53,1)}
      33:{3,5}:{(22,1),(23,1),(42,1)}
      34:{3,5}:{(25,1),(26,1),(44,1)}
      35:{2,5,6}:{(26,1),(28,1),(43,1),(45,1)}
      36:{2,4,5}:{(26,1),(27,1),(29,1),(44,1),(45,1),(46,1),(48,1)}
      37:{3,4}:{(27,1),(46,1)}
      38:{1,4,6}:{(28,1),(29,1),(32,1),(45,1),(47,1),(55,1)}
      39:{1,3,5}:{(29,1),(30,1),(33,1),(46,1),(47,1),(48,1)}
      40:{2,4}:{(30,1),(31,1),(48,1),(49,1)}
      41:{1,3}:{(31,1),(49,1),(50,1)}
      42:{3,6}:{(32,1),(33,1)}
      43:{3,5,6}:{(34,1),(35,1),(51,1),(52,1)}
      44:{4,5}:{(34,1),(51,1)}
      45:{2,4,6}:{(35,1),(36,1),(38,1),(51,1),(52,1),(53,1)}
      46:{3,5}:{(36,1),(37,1),(52,1)}
      47:{1,3,6}:{(38,1),(39,1),(42,1),(52,1),(53,1)}
      48:{2,5}:{(39,1),(40,1),(53,1),(54,1)}
      49:{1,4}:{(40,1),(41,1),(54,1)}
      50:{1,2}:{(41,1)}
      51:{4,6}:{(43,1),(44,1)}
      52:{3,6}:{(45,1),(46,1)}
      53:{2,6}:{(47,1),(48,1),(55,1)}
      54:{1,5}:{(48,1),(49,1),(55,1)}
      55:{1,6}:{(53,1),(54,1)}

295 :  0:{1,2}:{(3,1)}
       1:{2,3}:{(3,1),(4,1)}
       2:{3,4}:{(4,1),(5,1)}
       3:{1,3}:{(0,1),(1,1),(6,1),(7,1)}
       4:{2,4}:{(1,1),(2,1),(7,1),(8,1)}
       5:{3,5}:{(2,1),(8,1),(9,1),(10,1)}
       6:{2,3}:{(3,1),(11,1)}
       7:{1,4}:{(3,1),(4,1),(11,1),(12,1)}
       8:{2,5}:{(4,1),(5,1),(12,1),(13,1)}
       9:{4,5}:{(5,1),(14,1)}
      10:{3,6}:{(5,1),(13,1),(14,1)}
      11:{2,4}:{(6,1),(7,1),(15,1),(16,1)}
      12:{1,5}:{(7,1),(8,1),(16,1),(17,1)}
      13:{2,6}:{(8,1),(10,1),(17,1)}
      14:{4,6}:{(9,1),(10,1),(18,1)}
      15:{3,4}:{(11,1),(19,1)}
      16:{2,5}:{(11,1),(12,1),(19,1),(20,1)}
      17:{1,6}:{(12,1),(13,1),(20,1)}
      18:{5,6}:{(14,1)}
      19:{3,5}:{(15,1),(16,1),(21,1),(22,1)}
      20:{2,6}:{(16,1),(17,1),(22,1)}
      21:{4,5}:{(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{4,6}:{(21,1),(22,1),(24,1)}
      24:{5,6}:{(23,1)}

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

297 :   0:{2,3,4,6}:{(3,1),(4,1),(6,1),(42,1),(55,1),(82,1),(89,1),(92,1),(95,1)}
        1:{2,3,5,6}:{(4,1),(5,1),(6,1),(8,1),(27,1),(55,1)}
        2:{2,4,5,6}:{(6,1),(7,1),(8,1),(27,1),(91,1),(102,1)}
        3:{1,3,4,6}:{(0,1),(9,1),(10,1),(13,1),(28,1),(37,1),(63,1),(67,1),(77,1),(111,1),(118,1)}
        4:{2,3,5}:{(0,1),(10,1),(11,1),(114,1),(117,1)}
        5:{1,3,5,6}:{(1,1),(10,1),(12,1),(13,1),(37,1),(41,1),(77,1)}
        6:{2,4,6}:{(1,1),(11,1),(13,1),(14,1)}
        7:{1,4,5,6}:{(2,1),(13,1),(15,1),(16,1),(41,1),(71,1),(79,1)}
        8:{3,5,6}:{(2,1),(14,1),(114,1),(123,1)}
        9:{2,4,6}:{(3,1),(18,1),(19,1),(47,1),(100,1),(131,1)}
       10:{1,3,5}:{(3,1),(4,1),(19,1),(20,1),(48,1),(137,1)}
       11:{2,4,5}:{(4,1),(6,1),(20,1),(21,1),(82,1)}
       12:{2,5,6}:{(5,1),(19,1),(24,1),(100,1)}
       13:{1,4,6}:{(5,1),(6,1),(20,1),(24,1)}
       14:{3,4,6}:{(6,1),(8,1),(21,1)}
       15:{2,4,5,6}:{(7,1),(24,1),(26,1),(27,1),(53,1),(58,1)}
       16:{1,3,5,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(94,1)}
       17:{1,2,4,6}:{(9,1),(28,1),(29,1),(60,1),(63,1),(118,1),(119,1),(147,1)}
       18:{2,3,6}:{(9,1),(28,1),(31,1),(37,1),(148,1)}
       19:{2,5}:{(9,1),(10,1)}
       20:{1,4,5}:{(10,1),(11,1),(13,1),(32,1),(63,1)}
       21:{3,4,5}:{(11,1),(14,1),(105,1),(114,1)}
       22:{1,2,5,6}:{(12,1),(29,1),(34,1),(35,1),(41,1),(80,1),(103,1),(117,1),(119,1),(154,1),(155,1),(176,1)}
       23:{2,3,5,6}:{(12,1),(31,1),(34,1),(36,1),(37,1),(73,1),(75,1),(117,1),(176,1),(177,1),(183,1)}
       24:{2,4,6}:{(12,1),(13,1),(32,1),(37,1)}
       25:{1,3,4,6}:{(13,1),(14,1),(16,1),(33,1),(37,1),(38,1),(39,1),(77,1),(79,1),(123,1)}
       26:{3,5,6}:{(15,1),(37,1),(39,1),(75,1)}
       27:{2,5,6}:{(16,1),(38,1),(41,1),(117,1)}
       28:{1,3,6}:{(17,1),(18,1),(42,1),(44,1),(163,1)}
       29:{1,2,5}:{(17,1),(19,1),(44,1),(81,1),(137,1)}
       30:{2,3,4,6}:{(18,1),(43,1),(46,1),(47,1),(54,1),(87,1),(95,1),(126,1),(159,1)}
       31:{2,3,5}:{(18,1),(19,1),(44,1),(47,1),(48,1)}
       32:{2,4,5}:{(19,1),(20,1),(24,1),(47,1),(48,1)}
       33:{1,3,4,5}:{(20,1),(21,1),(25,1),(48,1),(49,1),(57,1),(85,1),(90,1),(94,1),(101,1),(141,1)}
       34:{1,3,5,6}:{(22,1),(23,1),(44,1),(50,1),(51,1),(52,1),(94,1),(96,1),(137,1),(169,1)}
       35:{1,2,4,6}:{(22,1),(24,1),(45,1),(51,1),(52,1),(56,1),(95,1),(100,1),(102,1),(124,1),(162,1),(179,1),(180,1)}
       36:{2,4,6}:{(23,1),(47,1),(51,1),(53,1),(54,1),(182,1)}
       37:{3,6}:{(24,1),(48,1)}
       38:{2,4,6}:{(25,1),(27,1),(49,1),(55,1),(56,1),(100,1)}
       39:{3,4,6}:{(26,1),(57,1),(58,1)}
       40:{2,3,5,6}:{(26,1),(27,1),(55,1),(58,1),(59,1),(98,1)}
       41:{1,5,6}:{(27,1),(56,1),(137,1)}
       42:{2,3,6}:{(28,1),(60,1),(61,1),(142,1),(173,1)}
       43:{1,3,4,6}:{(28,1),(30,1),(60,1),(62,1),(63,1),(105,1),(106,1),(118,1),(142,1),(144,1),(171,1)}
       44:{1,3,5}:{(28,1),(29,1),(31,1),(61,1),(63,1)}
       45:{1,2,4,5}:{(29,1),(32,1),(35,1),(63,1),(64,1),(69,1),(71,1),(104,1),(108,1),(112,1),(117,1),(122,1),(146,1),(147,1),(155,1),(172,1),(175,1),(178,1)}
       46:{2,3,5}:{(30,1),(62,1),(66,1),(75,1),(117,1)}
       47:{2,4}:{(31,1),(63,1),(67,1)}
       48:{3,5}:{(32,1),(37,1),(67,1)}
       49:{2,4,5}:{(33,1),(38,1),(68,1),(69,1),(108,1),(112,1),(117,1)}
       50:{2,3,5,6}:{(34,1),(61,1),(70,1),(73,1),(80,1),(103,1),(114,1),(117,1),(123,1),(142,1),(157,1)}
       51:{1,4,6}:{(34,1),(36,1),(63,1),(70,1),(71,1),(178,1)}
       52:{1,3,6}:{(35,1),(37,1),(64,1),(73,1),(123,1),(142,1),(183,1)}
       53:{2,4,5}:{(36,1),(71,1),(75,1),(117,1)}
       54:{3,4,6}:{(36,1),(37,1),(67,1),(75,1),(183,1),(184,1)}
       55:{2,3,6}:{(37,1),(38,1),(68,1),(77,1),(123,1)}
       56:{1,4,6}:{(38,1),(41,1),(69,1),(77,1)}
       57:{3,4,5}:{(39,1),(75,1),(78,1),(184,1)}
       58:{2,4,6}:{(39,1),(40,1),(78,1),(79,1)}
       59:{1,3,5,6}:{(40,1),(41,1),(77,1),(79,1),(80,1),(120,1),(123,1)}
       60:{2,4,6}:{(42,1),(43,1),(81,1),(82,1),(161,1),(179,1)}
       61:{2,3,5}:{(42,1),(44,1),(81,1),(82,1),(125,1)}
       62:{1,3,5}:{(43,1),(46,1),(81,1),(84,1),(125,1),(137,1)}
       63:{1,4}:{(44,1),(47,1),(82,1)}
       64:{1,3,5}:{(45,1),(48,1),(52,1),(85,1),(86,1),(125,1),(141,1),(163,1),(181,1)}
       65:{2,3,5,6}:{(46,1),(83,1),(87,1),(97,1),(136,1),(159,1)}
       66:{2,4,5}:{(46,1),(47,1),(84,1),(87,1),(88,1)}
       67:{3,4}:{(47,1),(48,1)}
       68:{2,3,5}:{(48,1),(49,1),(55,1),(89,1),(90,1),(141,1)}
       69:{1,4,5}:{(49,1),(56,1),(90,1),(129,1),(137,1)}
       70:{2,4,6}:{(50,1),(51,1),(82,1),(91,1),(92,1),(170,1)}
       71:{1,4,5}:{(51,1),(53,1),(91,1),(94,1),(137,1)}
       72:{1,3,4,6}:{(51,1),(52,1),(54,1),(85,1),(92,1),(94,1),(95,1)}
       73:{2,3,6}:{(52,1),(86,1),(95,1),(96,1),(100,1),(179,1)}
       74:{2,4,5,6}:{(53,1),(87,1),(93,1),(97,1),(136,1),(180,1)}
       75:{3,5}:{(53,1),(54,1)}
       76:{2,3,4,6}:{(54,1),(55,1),(58,1),(89,1),(95,1),(98,1),(99,1),(168,1),(182,1)}
       77:{1,3,6}:{(55,1),(56,1),(90,1),(100,1)}
       78:{2,4,5}:{(57,1),(58,1),(98,1),(101,1),(182,1)}
       79:{1,4,6}:{(58,1),(59,1),(101,1),(102,1)}
       80:{2,5,6}:{(59,1),(100,1),(102,1),(139,1)}
       81:{2,5}:{(60,1),(62,1)}
       82:{2,4}:{(61,1),(63,1),(105,1)}
       83:{1,3,5,6}:{(62,1),(65,1),(103,1),(106,1),(142,1),(154,1),(171,1)}
       84:{1,4,5}:{(62,1),(63,1),(66,1),(104,1),(106,1)}
       85:{1,3,4}:{(63,1),(64,1),(67,1),(105,1),(108,1),(158,1),(178,1),(184,1)}
       86:{2,3,5}:{(64,1),(73,1),(108,1),(109,1),(112,1),(117,1),(148,1),(172,1),(173,1)}
       87:{2,4,6}:{(65,1),(66,1),(106,1),(110,1)}
       88:{3,4,5}:{(66,1),(67,1),(75,1),(110,1)}
       89:{2,3,4}:{(67,1),(68,1),(108,1),(111,1),(158,1),(173,1)}
       90:{1,3,5}:{(68,1),(69,1),(77,1),(111,1),(112,1)}
       91:{2,4,5}:{(70,1),(71,1),(114,1),(117,1)}
       92:{3,4,6}:{(70,1),(105,1),(114,1),(123,1),(142,1),(158,1)}
       93:{1,4,5,6}:{(71,1),(74,1),(106,1),(113,1),(116,1),(154,1),(174,1)}
       94:{1,3,5}:{(71,1),(72,1),(75,1),(114,1),(117,1)}
       95:{2,4,6}:{(72,1),(73,1),(108,1),(117,1),(118,1)}
       96:{1,3,6}:{(73,1),(109,1),(118,1),(119,1)}
       97:{3,5,6}:{(74,1),(75,1),(110,1),(183,1)}
       98:{2,3,5}:{(75,1),(76,1),(78,1),(117,1),(120,1)}
       99:{1,3,4,6}:{(76,1),(77,1),(79,1),(111,1),(118,1),(120,1),(121,1),(123,1),(156,1),(158,1),(178,1)}
      100:{2,6}:{(77,1),(112,1)}
      101:{1,4,5}:{(78,1),(79,1),(120,1),(122,1),(178,1)}
      102:{2,4,6}:{(79,1),(80,1),(122,1),(123,1)}
      103:{2,5,6}:{(81,1),(83,1),(124,1),(179,1)}
      104:{2,4,5}:{(81,1),(82,1),(84,1),(124,1),(125,1)}
      105:{3,4}:{(82,1),(125,1)}
      106:{1,4,6}:{(83,1),(84,1),(87,1),(124,1)}
      107:{1,3,4,5}:{(84,1),(85,1),(88,1),(94,1),(125,1),(127,1),(128,1),(132,1),(160,1),(165,1),(181,1)}
      108:{2,4}:{(85,1),(86,1),(129,1)}
      109:{1,3,5}:{(86,1),(96,1),(129,1),(130,1),(137,1),(163,1)}
      110:{3,4,6}:{(87,1),(88,1),(97,1)}
      111:{1,3,4}:{(89,1),(90,1),(129,1),(131,1),(163,1)}
      112:{2,5}:{(90,1),(100,1),(131,1)}
      113:{2,4,5,6}:{(91,1),(93,1),(124,1),(133,1),(136,1),(164,1)}
      114:{3,5}:{(91,1),(92,1)}
      115:{2,3,4,6}:{(92,1),(95,1),(126,1),(134,1),(135,1),(140,1),(159,1),(164,1),(170,1)}
      116:{1,3,5,6}:{(93,1),(94,1),(97,1),(127,1),(133,1),(136,1)}
      117:{2,5}:{(94,1),(95,1),(137,1)}
      118:{1,4,6}:{(95,1),(96,1),(129,1),(137,1)}
      119:{1,2,6}:{(96,1),(100,1),(130,1),(179,1)}
      120:{1,3,5}:{(98,1),(99,1),(101,1),(137,1),(139,1),(141,1)}
      121:{2,4,6}:{(99,1),(100,1),(131,1),(139,1),(140,1),(170,1)}
      122:{2,4,5}:{(101,1),(102,1),(139,1),(141,1),(170,1)}
      123:{3,6}:{(102,1),(141,1)}
      124:{2,4,6}:{(103,1),(104,1),(106,1),(142,1)}
      125:{3,5}:{(104,1),(105,1),(142,1)}
      126:{2,3,4}:{(105,1),(108,1),(143,1),(144,1),(148,1),(184,1)}
      127:{1,3,4,6}:{(106,1),(107,1),(110,1),(116,1),(142,1),(145,1),(149,1),(171,1),(174,1),(183,1)}
      128:{2,4,5}:{(107,1),(108,1),(117,1),(143,1),(145,1),(146,1),(172,1)}
      129:{1,4}:{(108,1),(109,1)}
      130:{1,2,5}:{(109,1),(112,1),(119,1),(147,1),(172,1)}
      131:{2,4}:{(111,1),(112,1),(148,1)}
      132:{3,4,5}:{(114,1),(149,1),(150,1),(158,1)}
      133:{3,5,6}:{(113,1),(114,1),(142,1),(149,1)}
      134:{2,3,5}:{(114,1),(115,1),(117,1),(150,1),(152,1)}
      135:{1,3,4,6}:{(115,1),(118,1),(144,1),(152,1),(153,1),(156,1),(171,1),(174,1),(178,1),(183,1),(184,1)}
      136:{2,5,6}:{(116,1),(117,1),(145,1),(154,1)}
      137:{1,5}:{(117,1),(118,1)}
      138:{1,2,4,6}:{(118,1),(119,1),(121,1),(147,1),(153,1),(155,1),(156,1),(178,1)}
      139:{2,5}:{(120,1),(121,1)}
      140:{2,3,6}:{(121,1),(123,1),(148,1),(156,1),(157,1)}
      141:{3,5}:{(122,1),(123,1),(158,1)}
      142:{3,6}:{(124,1),(125,1)}
      143:{2,3,5}:{(125,1),(126,1),(128,1),(159,1),(160,1),(181,1)}
      144:{1,3,4}:{(126,1),(129,1),(160,1),(161,1),(163,1)}
      145:{2,4,6}:{(127,1),(128,1),(136,1),(159,1),(162,1),(179,1)}
      146:{1,4,5}:{(128,1),(129,1),(137,1),(160,1),(162,1)}
      147:{1,2,4}:{(129,1),(130,1),(131,1),(161,1),(163,1)}
      148:{2,3}:{(131,1),(163,1)}
      149:{3,4,6}:{(132,1),(133,1),(164,1)}
      150:{2,4,5}:{(132,1),(134,1),(164,1),(165,1),(170,1)}
      151:{2,3,5,6}:{(133,1),(134,1),(136,1),(159,1),(164,1),(166,1)}
      152:{1,3,5}:{(134,1),(135,1),(137,1),(165,1),(167,1),(181,1)}
      153:{2,4,6}:{(135,1),(161,1),(167,1),(168,1),(179,1),(182,1)}
      154:{1,5,6}:{(136,1),(137,1),(162,1)}
      155:{1,2,5}:{(137,1),(138,1),(139,1),(167,1),(169,1)}
      156:{1,3,6}:{(138,1),(140,1),(163,1),(168,1),(169,1)}
      157:{2,3,5}:{(139,1),(140,1),(141,1),(169,1),(170,1)}
      158:{3,4}:{(141,1),(170,1)}
      159:{2,3,6}:{(142,1),(143,1),(145,1),(171,1),(183,1)}
      160:{1,3,5}:{(143,1),(144,1),(146,1),(171,1),(172,1)}
      161:{2,4}:{(144,1),(172,1),(173,1)}
      162:{1,4,6}:{(145,1),(146,1),(154,1),(171,1)}
      163:{1,3}:{(147,1),(148,1),(173,1)}
      164:{2,4,6}:{(149,1),(150,1),(151,1),(174,1)}
      165:{1,4,5}:{(150,1),(152,1),(174,1),(175,1),(178,1)}
      166:{1,3,5,6}:{(151,1),(152,1),(154,1),(171,1),(174,1),(176,1),(183,1)}
      167:{2,5}:{(152,1),(153,1)}
      168:{2,3,6}:{(153,1),(156,1),(173,1),(177,1),(183,1)}
      169:{1,3,5}:{(155,1),(156,1),(157,1),(177,1),(178,1)}
      170:{2,4}:{(157,1),(158,1),(178,1)}
      171:{1,3,6}:{(159,1),(160,1),(162,1),(179,1)}
      172:{2,5}:{(160,1),(161,1),(179,1)}
      173:{2,3}:{(161,1),(163,1)}
      174:{1,4,6}:{(164,1),(165,1),(166,1),(180,1)}
      175:{2,4,5}:{(165,1),(167,1),(180,1),(181,1),(182,1)}
      176:{2,5,6}:{(166,1),(167,1),(179,1),(180,1)}
      177:{2,3,5}:{(167,1),(168,1),(169,1),(181,1),(182,1)}
      178:{1,4}:{(169,1),(170,1),(182,1)}
      179:{2,6}:{(171,1),(172,1)}
      180:{2,4,6}:{(174,1),(175,1),(176,1),(183,1)}
      181:{3,5}:{(175,1),(183,1),(184,1)}
      182:{2,4}:{(177,1),(178,1),(184,1)}
      183:{3,6}:{(180,1),(181,1)}
      184:{3,4}:{(181,1),(182,1)}

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

299 :  0:{5,6}:{(4,1)}
       1:{4,5}:{(4,1),(5,1)}
       2:{3,4}:{(5,1),(6,1)}
       3:{2,3}:{(6,1),(7,1)}
       4:{4,6}:{(0,1),(1,1),(8,1)}
       5:{3,5}:{(1,1),(2,1),(8,1),(9,1)}
       6:{2,4}:{(2,1),(3,1),(9,1),(10,1)}
       7:{1,3}:{(3,1),(10,1),(11,1),(17,1)}
       8:{3,6}:{(4,1),(5,1),(12,1)}
       9:{2,5}:{(5,1),(6,1),(12,1),(13,1)}
      10:{1,4}:{(6,1),(7,1),(13,1),(14,1)}
      11:{2}:{(7,1)}
      12:{2,6}:{(8,1),(9,1),(15,1)}
      13:{1,5}:{(9,1),(10,1),(15,1),(16,1)}
      14:{2,4}:{(10,1),(11,1),(16,1),(17,1),(21,1)}
      15:{1,6}:{(12,1),(13,1),(18,1)}
      16:{2,5}:{(13,1),(14,1),(18,1),(19,1)}
      17:{3}:{(14,1)}
      18:{2,6}:{(15,1),(16,1),(20,1)}
      19:{3,5}:{(16,1),(17,1),(20,1),(21,1),(23,1)}
      20:{3,6}:{(18,1),(19,1),(22,1)}
      21:{4}:{(19,1)}
      22:{4,6}:{(20,1),(21,1),(23,1)}
      23:{5}:{(22,1)}

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

301 :  0:{1,2}:{(4,1)}
       1:{2,3}:{(4,1),(5,1)}
       2:{3,4}:{(5,1),(6,1)}
       3:{4,5}:{(6,1),(7,1)}
       4:{1,3}:{(0,1),(1,1),(8,1),(9,1)}
       5:{2,4}:{(1,1),(2,1),(9,1),(10,1)}
       6:{3,5}:{(2,1),(3,1),(10,1),(11,1)}
       7:{4,6}:{(3,1),(11,1),(12,1)}
       8:{2,3}:{(4,1),(13,1)}
       9:{1,4}:{(4,1),(5,1),(13,1),(14,1)}
      10:{2,5}:{(5,1),(6,1),(14,1),(15,1)}
      11:{3,6}:{(6,1),(7,1),(15,1)}
      12:{5,6}:{(7,1)}
      13:{2,4}:{(8,1),(9,1),(16,1),(17,1)}
      14:{1,5}:{(9,1),(10,1),(17,1),(18,1)}
      15:{2,6}:{(10,1),(11,1),(18,1)}
      16:{3,4}:{(13,1),(19,1)}
      17:{2,5}:{(13,1),(14,1),(19,1),(20,1)}
      18:{1,6}:{(14,1),(15,1),(20,1)}
      19:{3,5}:{(16,1),(17,1),(21,1),(22,1)}
      20:{2,6}:{(17,1),(18,1),(22,1)}
      21:{4,5}:{(19,1),(23,1)}
      22:{3,6}:{(19,1),(20,1),(23,1)}
      23:{4,6}:{(21,1),(22,1),(24,1)}
      24:{5,6}:{(23,1)}

302 :   0:{1,2,4,5}:{(1,1),(2,1),(10,1),(16,1),(37,1),(38,1),(42,1),(69,1),(112,1),(114,1),(146,1)}
        1:{1,3,5}:{(0,1),(4,1),(5,1),(6,1),(90,1),(133,1)}
        2:{1,2,4,6}:{(0,1),(6,1),(7,1),(21,1),(26,1),(30,1),(61,1),(106,1)}
        3:{1,3,4,5}:{(4,1),(8,1),(9,1),(22,1),(27,1),(64,1),(94,1),(95,1),(108,1),(133,1)}
        4:{1,3,4}:{(1,1),(10,1),(146,1),(148,1)}
        5:{2,3,5}:{(1,1),(10,1),(12,1),(13,1),(37,1),(42,1),(70,1)}
        6:{1,3,6}:{(1,1),(2,1),(13,1),(126,1)}
        7:{1,2,5,6}:{(2,1),(14,1),(37,1),(47,1),(84,1),(112,1),(153,1)}
        8:{2,4,5}:{(3,1),(10,1),(15,1),(16,1),(17,1),(37,1),(42,1),(82,1),(124,1)}
        9:{1,3,4,6}:{(3,1),(17,1),(18,1),(43,1),(85,1),(86,1),(126,1)}
       10:{2,4}:{(4,1),(5,1),(20,1)}
       11:{1,3,4,6}:{(4,1),(6,1),(21,1),(22,1),(26,1),(58,1)}
       12:{1,3,5}:{(5,1),(20,1),(23,1),(24,1),(52,1),(54,1)}
       13:{2,3,6}:{(5,1),(6,1),(21,1),(24,1),(61,1)}
       14:{1,3,5,6}:{(6,1),(7,1),(22,1),(25,1),(26,1),(130,1),(137,1),(138,1)}
       15:{2,3,5}:{(8,1),(19,1),(27,1),(28,1),(133,1)}
       16:{1,4,5}:{(8,1),(20,1),(27,1),(30,1),(54,1),(101,1),(139,1)}
       17:{2,4,6}:{(8,1),(9,1),(28,1),(30,1),(31,1),(61,1)}
       18:{1,3,5,6}:{(9,1),(22,1),(31,1),(32,1),(68,1),(108,1)}
       19:{2,3,4}:{(10,1),(15,1),(33,1),(70,1),(82,1),(148,1)}
       20:{1,4}:{(10,1),(12,1)}
       21:{2,4,6}:{(10,1),(11,1),(13,1),(36,1),(37,1)}
       22:{1,3,5}:{(11,1),(37,1),(38,1),(77,1)}
       23:{1,2,5}:{(12,1),(35,1),(39,1),(42,1)}
       24:{1,3,6}:{(12,1),(13,1),(36,1),(39,1)}
       25:{2,3,5,6}:{(13,1),(14,1),(37,1),(40,1),(41,1),(77,1),(84,1),(113,1),(118,1),(119,1),(126,1)}
       26:{1,4,6}:{(14,1),(38,1),(41,1),(146,1)}
       27:{1,3,5}:{(15,1),(16,1),(33,1),(42,1),(43,1)}
       28:{2,3,6}:{(15,1),(17,1),(43,1),(126,1)}
       29:{1,2,4,5}:{(16,1),(35,1),(42,1),(45,1),(46,1),(75,1),(82,1),(114,1),(116,1),(124,1),(128,1)}
       30:{1,4,6}:{(16,1),(17,1),(43,1),(47,1)}
       31:{2,5,6}:{(17,1),(18,1),(37,1),(47,1),(124,1)}
       32:{1,4,5,6}:{(18,1),(38,1),(48,1),(85,1),(128,1),(129,1)}
       33:{1,3,4}:{(19,1),(20,1),(27,1),(49,1),(52,1),(90,1),(101,1)}
       34:{2,3,4,6}:{(19,1),(21,1),(28,1),(50,1),(51,1),(58,1),(63,1),(92,1),(100,1),(104,1),(132,1),(143,1),(144,1),(161,1),(166,1)}
       35:{1,2,4}:{(20,1),(23,1),(49,1),(52,1)}
       36:{1,4,6}:{(20,1),(21,1),(24,1),(54,1)}
       37:{2,5}:{(21,1),(22,1),(54,1)}
       38:{1,4,5}:{(22,1),(26,1),(55,1),(137,1)}
       39:{1,2,6}:{(23,1),(24,1),(61,1)}
       40:{1,3,5,6}:{(24,1),(25,1),(54,1),(56,1),(57,1),(96,1),(98,1),(99,1)}
       41:{2,4,6}:{(25,1),(26,1),(55,1),(57,1),(58,1),(132,1)}
       42:{2,5}:{(27,1),(49,1),(61,1)}
       43:{1,3,6}:{(27,1),(28,1),(30,1),(61,1)}
       44:{2,3,5,6}:{(28,1),(31,1),(51,1),(62,1),(63,1),(68,1),(110,1),(144,1)}
       45:{1,3,5}:{(29,1),(52,1),(60,1),(64,1),(65,1),(133,1)}
       46:{1,2,4,6}:{(29,1),(30,1),(61,1),(65,1),(66,1),(104,1),(106,1),(109,1)}
       47:{1,5,6}:{(30,1),(31,1),(54,1),(139,1)}
       48:{2,4,5,6}:{(31,1),(32,1),(55,1),(63,1),(67,1),(68,1),(106,1),(110,1),(142,1)}
       49:{2,4}:{(33,1),(42,1),(70,1)}
       50:{1,3,4,6}:{(33,1),(34,1),(36,1),(43,1),(71,1),(72,1),(74,1),(85,1),(111,1),(116,1),(120,1),(121,1),(126,1),(146,1),(148,1),(158,1),(171,1),(175,1)}
       51:{2,3,5}:{(34,1),(37,1),(72,1),(73,1),(77,1),(118,1),(124,1),(157,1),(174,1)}
       52:{1,3}:{(35,1),(70,1)}
       53:{1,2,4,6}:{(35,1),(36,1),(39,1),(71,1),(74,1),(75,1),(116,1),(175,1),(176,1),(182,1)}
       54:{1,5}:{(36,1),(37,1)}
       55:{2,4,5}:{(37,1),(38,1),(41,1),(76,1),(77,1),(118,1)}
       56:{1,2,5,6}:{(39,1),(40,1),(75,1),(78,1),(84,1),(118,1),(129,1)}
       57:{1,4,6}:{(40,1),(41,1),(76,1),(116,1)}
       58:{3,4,6}:{(41,1),(77,1),(126,1),(148,1)}
       59:{1,2,5}:{(42,1),(69,1),(80,1),(81,1)}
       60:{2,3,5}:{(42,1),(45,1),(70,1),(80,1),(82,1),(83,1),(124,1)}
       61:{2,6}:{(42,1),(43,1)}
       62:{1,3,5,6}:{(43,1),(44,1),(47,1),(72,1),(84,1),(85,1),(126,1),(129,1),(158,1)}
       63:{2,4,6}:{(44,1),(73,1),(85,1),(86,1)}
       64:{1,3,4}:{(45,1),(82,1),(116,1),(148,1)}
       65:{1,3,6}:{(45,1),(46,1),(83,1),(126,1)}
       66:{1,2,5,6}:{(46,1),(47,1),(75,1),(84,1),(88,1),(124,1),(176,1)}
       67:{1,4,5,6}:{(47,1),(48,1),(76,1),(85,1),(89,1),(154,1)}
       68:{3,5,6}:{(48,1),(77,1),(86,1),(126,1),(157,1)}
       69:{1,2,4}:{(49,1),(59,1),(90,1),(101,1)}
       70:{2,3}:{(49,1),(52,1),(90,1)}
       71:{2,4,6}:{(49,1),(50,1),(61,1),(92,1),(93,1),(132,1),(168,1),(179,1)}
       72:{1,3,5}:{(50,1),(51,1),(54,1),(93,1),(94,1),(133,1),(137,1),(139,1),(181,1)}
       73:{2,4,5}:{(51,1),(63,1),(94,1),(95,1),(132,1)}
       74:{1,3,6}:{(52,1),(53,1),(92,1),(96,1),(184,1)}
       75:{1,2,5}:{(53,1),(54,1),(93,1),(96,1),(181,1)}
       76:{1,4,5}:{(54,1),(55,1),(57,1),(98,1)}
       77:{3,5}:{(55,1),(58,1)}
       78:{1,2,4,6}:{(56,1),(57,1),(97,1),(99,1),(100,1),(106,1),(145,1),(168,1)}
       79:{1,3,4,6}:{(57,1),(58,1),(98,1),(99,1),(100,1),(135,1)}
       80:{1,3,5}:{(59,1),(60,1),(90,1),(101,1),(102,1),(139,1)}
       81:{1,2,6}:{(59,1),(61,1),(102,1)}
       82:{2,4}:{(60,1),(64,1),(101,1)}
       83:{2,3,6}:{(60,1),(61,1),(65,1),(102,1),(104,1)}
       84:{2,5,6}:{(61,1),(62,1),(93,1),(106,1),(168,1)}
       85:{1,4,6}:{(62,1),(63,1),(94,1),(106,1)}
       86:{3,4,6}:{(63,1),(68,1),(95,1)}
       87:{1,3,4,6}:{(64,1),(65,1),(104,1),(108,1),(109,1),(143,1)}
       88:{1,3,5,6}:{(65,1),(66,1),(96,1),(105,1),(108,1),(109,1),(167,1),(181,1)}
       89:{1,3,5,6}:{(67,1),(68,1),(98,1),(107,1),(110,1),(165,1)}
       90:{1,3}:{(69,1),(70,1)}
       91:{1,2,4,6}:{(69,1),(71,1),(81,1),(111,1),(112,1),(120,1),(121,1),(146,1),(153,1),(173,1)}
       92:{2,3,6}:{(70,1),(71,1),(74,1),(111,1),(113,1),(126,1),(183,1)}
       93:{2,5}:{(71,1),(72,1)}
       94:{1,4,5}:{(72,1),(73,1),(85,1),(114,1),(116,1),(146,1)}
       95:{3,4,5}:{(73,1),(77,1),(86,1),(148,1),(157,1)}
       96:{1,3,5}:{(74,1),(75,1),(113,1),(116,1)}
       97:{1,2,4,5}:{(75,1),(76,1),(78,1),(114,1),(116,1),(117,1),(118,1),(150,1),(151,1),(172,1),(182,1)}
       98:{1,3,5}:{(76,1),(77,1),(79,1),(118,1)}
       99:{1,3,6}:{(78,1),(117,1),(119,1),(126,1)}
      100:{2,4,6}:{(79,1),(118,1),(119,1),(120,1),(151,1)}
      101:{1,4}:{(80,1),(82,1)}
      102:{1,3,6}:{(80,1),(81,1),(83,1),(121,1)}
      103:{1,2,5,6}:{(81,1),(84,1),(112,1),(122,1),(123,1),(129,1),(174,1)}
      104:{2,4,6}:{(82,1),(83,1),(87,1),(121,1),(124,1)}
      105:{2,3,5,6}:{(83,1),(84,1),(88,1),(113,1),(122,1),(124,1),(125,1),(126,1),(156,1),(157,1),(174,1)}
      106:{2,4,6}:{(84,1),(85,1),(114,1),(126,1)}
      107:{1,3,4,6}:{(85,1),(86,1),(89,1),(115,1),(126,1),(127,1),(158,1)}
      108:{1,3,5}:{(87,1),(124,1),(128,1),(157,1)}
      109:{1,4,6}:{(88,1),(116,1),(125,1),(128,1)}
      110:{2,5,6}:{(89,1),(118,1),(127,1),(129,1),(174,1)}
      111:{1,3,6}:{(90,1),(91,1),(92,1),(130,1),(180,1)}
      112:{1,2,5}:{(91,1),(93,1),(130,1),(137,1),(139,1)}
      113:{2,3,5}:{(92,1),(93,1),(96,1),(130,1),(132,1),(133,1)}
      114:{2,4,5}:{(93,1),(94,1),(106,1),(132,1),(133,1)}
      115:{1,3,4,5}:{(94,1),(95,1),(98,1),(107,1),(133,1),(134,1),(135,1),(159,1),(162,1),(165,1)}
      116:{1,4}:{(96,1),(132,1)}
      117:{1,3,5}:{(97,1),(99,1),(133,1),(135,1),(136,1),(184,1)}
      118:{2,5}:{(98,1),(100,1),(137,1)}
      119:{2,3,6}:{(99,1),(100,1),(136,1),(138,1),(168,1)}
      120:{1,4,6}:{(100,1),(137,1),(138,1),(163,1)}
      121:{1,4,6}:{(101,1),(102,1),(104,1),(139,1)}
      122:{1,3,5,6}:{(102,1),(103,1),(105,1),(130,1),(139,1),(140,1),(141,1),(165,1)}
      123:{1,2,4,6}:{(103,1),(106,1),(131,1),(140,1),(141,1),(145,1),(166,1),(168,1)}
      124:{2,5}:{(104,1),(108,1),(139,1)}
      125:{2,4,6}:{(105,1),(109,1),(132,1),(140,1),(142,1),(143,1)}
      126:{3,6}:{(106,1),(133,1)}
      127:{2,4,6}:{(107,1),(110,1),(134,1),(144,1),(145,1),(168,1)}
      128:{1,4,5}:{(108,1),(109,1),(142,1),(181,1)}
      129:{1,5,6}:{(110,1),(137,1),(145,1),(181,1)}
      130:{1,3,5}:{(111,1),(112,1),(113,1),(146,1)}
      131:{1,2,4,5}:{(112,1),(114,1),(123,1),(146,1),(147,1),(150,1),(154,1),(169,1),(172,1),(173,1),(174,1)}
      132:{2,4}:{(113,1),(116,1),(146,1),(148,1)}
      133:{3,5}:{(114,1),(126,1),(148,1)}
      134:{2,4,5}:{(115,1),(118,1),(127,1),(149,1),(150,1),(151,1),(169,1),(172,1),(174,1)}
      135:{1,3,4}:{(116,1),(117,1),(148,1),(151,1)}
      136:{2,3,5}:{(117,1),(118,1),(119,1),(151,1),(152,1),(172,1),(183,1)}
      137:{1,5}:{(118,1),(120,1)}
      138:{1,3,6}:{(119,1),(120,1),(152,1),(153,1)}
      139:{1,5}:{(121,1),(124,1)}
      140:{1,4,6}:{(122,1),(125,1),(146,1),(154,1)}
      141:{1,3,6}:{(123,1),(126,1),(147,1),(156,1)}
      142:{2,4,5}:{(124,1),(125,1),(128,1),(154,1),(157,1),(174,1)}
      143:{3,4,6}:{(125,1),(126,1),(148,1),(157,1)}
      144:{2,3,6}:{(126,1),(127,1),(149,1),(158,1)}
      145:{1,4,6}:{(127,1),(129,1),(150,1),(158,1)}
      146:{1,4}:{(130,1),(132,1)}
      147:{1,3,5}:{(131,1),(133,1),(141,1),(159,1),(160,1),(180,1)}
      148:{3,4}:{(132,1),(133,1)}
      149:{2,3,5}:{(133,1),(134,1),(144,1),(161,1),(162,1)}
      150:{1,4,5}:{(134,1),(137,1),(145,1),(162,1),(163,1),(177,1),(181,1)}
      151:{2,4}:{(135,1),(136,1),(163,1)}
      152:{1,3,5}:{(136,1),(137,1),(138,1),(163,1),(164,1),(180,1)}
      153:{1,2,6}:{(138,1),(164,1),(168,1)}
      154:{1,4,5}:{(139,1),(140,1),(142,1),(165,1)}
      155:{1,3,4,6}:{(140,1),(141,1),(143,1),(159,1),(165,1),(166,1)}
      156:{2,3,6}:{(141,1),(160,1),(166,1),(167,1),(168,1)}
      157:{3,5}:{(142,1),(143,1)}
      158:{1,3,6}:{(144,1),(145,1),(162,1),(168,1)}
      159:{1,3,4}:{(146,1),(147,1),(148,1),(169,1)}
      160:{2,3,5}:{(147,1),(156,1),(169,1),(170,1),(172,1),(174,1),(183,1)}
      161:{2,3,4}:{(148,1),(149,1),(151,1),(169,1),(171,1),(183,1)}
      162:{1,3,5}:{(149,1),(150,1),(158,1),(171,1),(172,1)}
      163:{1,4}:{(151,1),(152,1)}
      164:{1,2,5}:{(152,1),(153,1),(172,1),(173,1)}
      165:{1,3,5}:{(154,1),(155,1),(157,1),(174,1)}
      166:{2,4,6}:{(155,1),(156,1),(169,1),(174,1),(175,1)}
      167:{1,3,6}:{(156,1),(170,1),(175,1),(176,1)}
      168:{2,6}:{(158,1),(172,1)}
      169:{2,4}:{(159,1),(160,1),(177,1)}
      170:{1,3,5}:{(160,1),(167,1),(177,1),(178,1),(181,1),(184,1)}
      171:{1,3,4}:{(161,1),(162,1),(163,1),(177,1),(179,1),(180,1),(184,1)}
      172:{2,5}:{(162,1),(168,1),(179,1)}
      173:{1,2,4}:{(163,1),(164,1),(179,1),(180,1)}
      174:{2,5}:{(165,1),(166,1),(181,1)}
      175:{1,4,6}:{(166,1),(167,1),(177,1),(181,1)}
      176:{1,2,6}:{(167,1),(168,1),(178,1)}
      177:{1,4}:{(169,1),(170,1)}
      178:{1,2,5}:{(170,1),(172,1),(176,1),(182,1)}
      179:{2,4}:{(171,1),(172,1),(183,1)}
      180:{1,3}:{(173,1),(183,1)}
      181:{1,5}:{(174,1),(175,1)}
      182:{1,2,4}:{(177,1),(178,1),(179,1),(184,1)}
      183:{2,3}:{(179,1),(180,1),(184,1)}
      184:{1,3}:{(182,1),(183,1)}

303 :  0:{1,2,4,6}:{(2,1),(3,1),(4,1),(14,1)}
       1:{1,3,4,6}:{(2,1),(4,1),(5,1),(14,1),(16,1),(28,1),(30,1)}
       2:{1,3,6}:{(0,1),(6,1),(7,1),(42,1)}
       3:{1,2,5}:{(0,1),(7,1),(10,1),(44,1)}
       4:{2,4,6}:{(1,1),(6,1),(9,1),(10,1),(21,1)}
       5:{1,3,5}:{(1,1),(10,1),(11,1),(25,1)}
       6:{2,3,6}:{(2,1),(4,1),(12,1),(13,1),(30,1),(38,1)}
       7:{1,3,5}:{(2,1),(3,1),(13,1),(14,1),(39,1),(43,1)}
       8:{1,3,5,6}:{(5,1),(15,1),(16,1),(30,1)}
       9:{1,4,6}:{(4,1),(12,1),(17,1),(27,1)}
      10:{2,5}:{(4,1),(5,1),(17,1)}
      11:{1,4,5}:{(5,1),(14,1),(16,1),(18,1),(39,1)}
      12:{1,3,6}:{(6,1),(9,1),(19,1),(20,1)}
      13:{2,3,5}:{(6,1),(7,1),(10,1),(20,1),(21,1),(25,1),(35,1),(40,1)}
      14:{1,4}:{(7,1),(21,1)}
      15:{2,5,6}:{(8,1),(10,1),(22,1),(23,1)}
      16:{1,4,6}:{(8,1),(11,1),(23,1),(42,1)}
      17:{1,5}:{(9,1),(10,1)}
      18:{2,4,5}:{(10,1),(11,1),(21,1),(23,1),(24,1),(25,1),(35,1)}
      19:{1,2,6}:{(12,1),(26,1),(38,1)}
      20:{1,3,5}:{(12,1),(13,1),(17,1),(26,1),(27,1),(36,1)}
      21:{2,4}:{(13,1),(14,1),(27,1),(28,1)}
      22:{1,5,6}:{(15,1),(17,1),(29,1)}
      23:{2,4,6}:{(15,1),(16,1),(18,1),(29,1),(30,1),(38,1)}
      24:{1,4,5}:{(17,1),(18,1),(27,1),(29,1),(31,1)}
      25:{3,5}:{(18,1),(28,1),(30,1)}
      26:{1,2,5}:{(19,1),(20,1),(32,1),(35,1)}
      27:{1,4}:{(20,1),(21,1)}
      28:{3,4}:{(21,1),(25,1)}
      29:{1,4,6}:{(22,1),(23,1),(24,1),(34,1)}
      30:{3,6}:{(23,1),(25,1)}
      31:{1,3,5}:{(24,1),(25,1),(33,1),(34,1),(35,1)}
      32:{1,2,4}:{(26,1),(27,1),(36,1),(37,1)}
      33:{1,3,4}:{(27,1),(28,1),(31,1),(36,1),(37,1)}
      34:{1,3,6}:{(29,1),(30,1),(31,1),(38,1)}
      35:{2,5}:{(31,1),(37,1),(38,1),(39,1)}
      36:{1,3}:{(32,1),(40,1)}
      37:{2,4}:{(33,1),(35,1),(40,1),(41,1)}
      38:{2,6}:{(34,1),(35,1),(42,1)}
      39:{1,5}:{(35,1),(41,1),(42,1)}
      40:{2,3}:{(36,1),(37,1),(43,1)}
      41:{1,4}:{(37,1),(39,1),(43,1)}
      42:{1,6}:{(38,1),(39,1)}
      43:{1,3}:{(40,1),(41,1),(44,1)}
      44:{1,2}:{(43,1)}

304 :   0:{2,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(41,1),(72,1),(73,1),(75,1),(78,1),(100,1)}
        1:{1,3,4,6}:{(0,1),(5,1),(6,1),(8,1),(20,1),(24,1),(31,1),(50,1),(55,1),(57,1),(92,1),(93,1),(96,1),(115,1)}
        2:{2,3,5}:{(0,1),(6,1),(7,1),(90,1),(95,1),(114,1)}
        3:{1,2,4,6}:{(5,1),(8,1),(9,1),(31,1),(115,1),(116,1),(117,1)}
        4:{2,3,5,6}:{(2,1),(11,1),(12,1),(37,1),(70,1),(73,1)}
        5:{2,4,6}:{(1,1),(13,1),(14,1),(41,1),(109,1),(110,1)}
        6:{1,3,5}:{(1,1),(2,1),(14,1),(15,1),(42,1),(111,1),(126,1)}
        7:{2,4,5}:{(2,1),(12,1),(15,1),(16,1),(41,1)}
        8:{1,3,6}:{(3,1),(13,1),(18,1),(128,1)}
        9:{1,2,5}:{(3,1),(14,1),(18,1),(126,1)}
       10:{1,2,4,6}:{(5,1),(20,1),(21,1),(50,1),(96,1),(97,1),(98,1)}
       11:{1,3,5,6}:{(4,1),(6,1),(23,1),(24,1),(55,1),(89,1),(92,1)}
       12:{2,4,6}:{(4,1),(7,1),(24,1),(25,1)}
       13:{2,3,6}:{(5,1),(8,1),(20,1),(26,1),(55,1),(123,1)}
       14:{2,5}:{(5,1),(6,1)}
       15:{1,4,5}:{(6,1),(7,1),(24,1),(27,1),(31,1),(50,1)}
       16:{3,4,5}:{(7,1),(25,1),(57,1),(90,1)}
       17:{1,2,5,6}:{(9,1),(23,1),(29,1),(30,1),(89,1),(95,1),(116,1),(120,1),(134,1)}
       18:{1,3,5}:{(8,1),(9,1),(26,1),(31,1)}
       19:{1,2,4,5}:{(9,1),(27,1),(30,1),(31,1),(32,1),(59,1),(60,1),(63,1),(94,1),(95,1),(117,1),(134,1),(136,1),(143,1)}
       20:{1,3,6}:{(10,1),(13,1),(34,1),(113,1)}
       21:{1,2,5}:{(10,1),(14,1),(34,1),(111,1)}
       22:{2,4,5,6}:{(12,1),(36,1),(37,1),(70,1),(71,1),(130,1)}
       23:{2,5,6}:{(11,1),(14,1),(39,1),(109,1)}
       24:{1,4,6}:{(11,1),(12,1),(15,1),(39,1)}
       25:{3,4,6}:{(12,1),(16,1),(37,1)}
       26:{2,3,5}:{(13,1),(14,1),(18,1),(34,1),(41,1),(42,1)}
       27:{2,4,5}:{(14,1),(15,1),(39,1),(41,1),(42,1)}
       28:{1,3,4,5}:{(15,1),(16,1),(40,1),(42,1),(43,1),(46,1),(67,1),(76,1),(77,1),(99,1),(104,1),(129,1),(141,1)}
       29:{1,3,5,6}:{(17,1),(18,1),(38,1),(44,1),(45,1),(77,1),(101,1),(126,1),(140,1)}
       30:{1,2,4,6}:{(17,1),(19,1),(39,1),(44,1),(45,1),(74,1),(78,1),(109,1),(130,1)}
       31:{1,4}:{(18,1),(41,1)}
       32:{1,3,5}:{(19,1),(42,1),(45,1),(46,1),(47,1),(128,1),(141,1)}
       33:{1,2,5,6}:{(21,1),(23,1),(48,1),(49,1),(89,1),(97,1),(114,1),(120,1),(124,1)}
       34:{1,3,5}:{(20,1),(21,1),(26,1),(50,1)}
       35:{1,2,4,5}:{(21,1),(27,1),(49,1),(50,1),(51,1),(59,1),(82,1),(85,1),(94,1),(98,1),(114,1),(124,1),(136,1),(139,1)}
       36:{1,4,5,6}:{(22,1),(24,1),(52,1),(53,1),(60,1),(82,1),(89,1),(119,1)}
       37:{3,5,6}:{(22,1),(25,1),(90,1),(137,1)}
       38:{2,3,5,6}:{(23,1),(26,1),(29,1),(48,1),(54,1),(55,1),(62,1),(84,1),(90,1),(95,1),(114,1),(120,1),(137,1),(138,1)}
       39:{2,4,6}:{(23,1),(24,1),(27,1),(55,1)}
       40:{1,3,4,6}:{(24,1),(25,1),(28,1),(53,1),(55,1),(56,1),(87,1),(92,1),(119,1),(137,1)}
       41:{2,4}:{(26,1),(31,1),(50,1),(57,1)}
       42:{3,5}:{(27,1),(55,1),(57,1)}
       43:{2,4,5}:{(28,1),(56,1),(58,1),(59,1),(63,1),(85,1),(94,1),(95,1),(114,1)}
       44:{1,4,6}:{(29,1),(31,1),(54,1),(60,1),(143,1)}
       45:{1,3,6}:{(30,1),(32,1),(55,1),(62,1),(137,1)}
       46:{1,3,4}:{(31,1),(32,1),(57,1),(63,1),(143,1),(144,1)}
       47:{2,3,5}:{(32,1),(62,1),(63,1),(64,1),(94,1),(95,1),(123,1)}
       48:{1,3,5,6}:{(33,1),(34,1),(38,1),(65,1),(66,1),(79,1),(99,1),(111,1),(133,1)}
       49:{1,2,4,6}:{(33,1),(35,1),(39,1),(65,1),(66,1),(74,1),(100,1),(109,1),(130,1)}
       50:{1,4}:{(34,1),(41,1)}
       51:{1,3,5}:{(35,1),(42,1),(66,1),(67,1),(68,1),(113,1),(141,1)}
       52:{2,4,5,6}:{(36,1),(39,1),(69,1),(70,1),(71,1),(105,1)}
       53:{1,3,5,6}:{(36,1),(37,1),(40,1),(69,1),(70,1),(77,1),(99,1)}
       54:{2,4,6}:{(38,1),(41,1),(44,1),(65,1),(71,1),(72,1),(142,1)}
       55:{3,6}:{(39,1),(42,1)}
       56:{2,4,6}:{(40,1),(43,1),(70,1),(73,1),(74,1),(109,1)}
       57:{3,4}:{(41,1),(42,1)}
       58:{2,3,5}:{(42,1),(43,1),(73,1),(75,1),(76,1),(141,1)}
       59:{1,4,5}:{(43,1),(74,1),(76,1),(80,1),(102,1),(111,1),(126,1)}
       60:{1,4,5}:{(44,1),(71,1),(77,1),(126,1)}
       61:{1,3,4,6}:{(44,1),(45,1),(46,1),(72,1),(77,1),(78,1)}
       62:{2,3,6}:{(45,1),(47,1),(78,1),(79,1),(109,1)}
       63:{2,4}:{(46,1),(47,1),(80,1)}
       64:{1,3,5}:{(47,1),(79,1),(80,1),(81,1),(111,1),(113,1)}
       65:{1,4,6}:{(48,1),(50,1),(54,1),(82,1),(139,1)}
       66:{1,3,6}:{(49,1),(51,1),(55,1),(84,1),(137,1)}
       67:{1,3,4}:{(50,1),(51,1),(57,1),(85,1),(139,1),(144,1)}
       68:{2,3,5}:{(51,1),(84,1),(85,1),(86,1),(94,1),(114,1),(123,1)}
       69:{3,5,6}:{(52,1),(55,1),(87,1),(90,1)}
       70:{2,5,6}:{(53,1),(56,1),(89,1),(95,1),(114,1)}
       71:{2,4,5}:{(54,1),(60,1),(82,1),(90,1),(95,1),(114,1)}
       72:{3,4,6}:{(54,1),(55,1),(57,1),(90,1),(137,1),(144,1)}
       73:{2,3,6}:{(55,1),(56,1),(58,1),(92,1),(137,1)}
       74:{1,4,6}:{(56,1),(59,1),(89,1),(92,1)}
       75:{2,3,4}:{(57,1),(58,1),(63,1),(85,1),(93,1),(123,1),(144,1)}
       76:{1,3,5}:{(58,1),(59,1),(92,1),(93,1),(94,1)}
       77:{1,3,5}:{(60,1),(61,1),(90,1),(95,1)}
       78:{2,4,6}:{(61,1),(62,1),(63,1),(95,1),(96,1)}
       79:{1,3,6}:{(62,1),(64,1),(96,1),(97,1)}
       80:{1,4}:{(63,1),(64,1)}
       81:{1,2,5}:{(64,1),(94,1),(97,1),(98,1)}
       82:{1,4,5}:{(65,1),(71,1),(99,1),(111,1)}
       83:{1,3,4,6}:{(65,1),(66,1),(67,1),(72,1),(99,1),(100,1)}
       84:{2,3,6}:{(66,1),(68,1),(100,1),(101,1),(109,1)}
       85:{2,4}:{(67,1),(68,1),(102,1)}
       86:{1,3,5}:{(68,1),(101,1),(102,1),(103,1),(126,1),(128,1)}
       87:{3,4,6}:{(69,1),(104,1),(105,1)}
       88:{2,3,5,6}:{(69,1),(70,1),(73,1),(105,1),(106,1),(107,1)}
       89:{1,5,6}:{(70,1),(74,1),(111,1),(126,1)}
       90:{3,5}:{(71,1),(72,1)}
       91:{2,3,4,6}:{(72,1),(73,1),(75,1),(78,1),(100,1),(105,1),(107,1),(108,1),(132,1),(142,1)}
       92:{1,3,6}:{(73,1),(74,1),(76,1),(109,1)}
       93:{1,3,4}:{(75,1),(76,1),(80,1),(102,1),(110,1),(113,1),(128,1)}
       94:{2,5}:{(76,1),(109,1),(110,1)}
       95:{2,5}:{(77,1),(78,1),(111,1)}
       96:{1,4,6}:{(78,1),(79,1),(80,1),(111,1)}
       97:{1,2,6}:{(79,1),(81,1),(109,1)}
       98:{1,2,4}:{(80,1),(81,1),(110,1),(113,1)}
       99:{1,3,5}:{(82,1),(83,1),(90,1),(114,1)}
      100:{2,4,6}:{(83,1),(84,1),(85,1),(114,1),(115,1)}
      101:{1,3,6}:{(84,1),(86,1),(115,1),(116,1)}
      102:{1,4}:{(85,1),(86,1)}
      103:{1,2,5}:{(86,1),(94,1),(116,1),(117,1)}
      104:{3,4,5}:{(87,1),(90,1),(118,1),(144,1)}
      105:{2,4,6}:{(87,1),(88,1),(118,1),(119,1)}
      106:{1,3,5,6}:{(88,1),(89,1),(92,1),(119,1),(120,1),(121,1),(137,1)}
      107:{2,3,5}:{(90,1),(91,1),(95,1),(114,1),(118,1),(121,1)}
      108:{1,3,4,6}:{(91,1),(92,1),(93,1),(96,1),(115,1),(119,1),(121,1),(122,1),(125,1),(135,1),(137,1),(139,1),(143,1),(144,1)}
      109:{2,6}:{(92,1),(94,1)}
      110:{2,4}:{(93,1),(94,1),(123,1)}
      111:{1,5}:{(95,1),(96,1)}
      112:{1,2,4,6}:{(96,1),(97,1),(98,1),(122,1),(124,1),(125,1),(139,1)}
      113:{1,3}:{(98,1),(123,1)}
      114:{2,5}:{(99,1),(100,1),(126,1)}
      115:{1,4,6}:{(100,1),(101,1),(102,1),(126,1)}
      116:{1,2,6}:{(101,1),(103,1),(109,1)}
      117:{1,2,4}:{(102,1),(103,1),(110,1),(128,1)}
      118:{2,4,5}:{(104,1),(105,1),(107,1),(129,1),(142,1)}
      119:{1,4,6}:{(105,1),(106,1),(129,1),(130,1)}
      120:{2,5,6}:{(106,1),(109,1),(130,1),(131,1)}
      121:{1,3,5}:{(107,1),(108,1),(111,1),(126,1),(129,1),(131,1),(141,1)}
      122:{2,4,6}:{(108,1),(109,1),(110,1),(131,1),(132,1),(142,1)}
      123:{2,3}:{(110,1),(113,1),(128,1)}
      124:{1,2,5}:{(111,1),(112,1),(131,1),(133,1)}
      125:{1,3,6}:{(112,1),(113,1),(132,1),(133,1)}
      126:{1,5}:{(114,1),(115,1)}
      127:{1,2,4,6}:{(115,1),(116,1),(117,1),(122,1),(134,1),(135,1),(143,1)}
      128:{1,3}:{(117,1),(123,1)}
      129:{1,4,5}:{(118,1),(119,1),(121,1),(136,1),(139,1),(143,1)}
      130:{2,4,6}:{(119,1),(120,1),(136,1),(137,1)}
      131:{2,5}:{(121,1),(122,1)}
      132:{2,3,6}:{(122,1),(123,1),(125,1),(135,1),(137,1),(138,1)}
      133:{1,3,5}:{(124,1),(125,1),(138,1),(139,1)}
      134:{1,2,5}:{(126,1),(127,1),(131,1),(140,1)}
      135:{1,3,6}:{(127,1),(128,1),(132,1),(140,1)}
      136:{2,4,5}:{(129,1),(130,1),(131,1),(141,1),(142,1)}
      137:{3,6}:{(130,1),(141,1)}
      138:{2,3,5}:{(131,1),(132,1),(133,1),(140,1),(141,1),(142,1)}
      139:{1,4}:{(133,1),(142,1)}
      140:{1,3,5}:{(134,1),(135,1),(138,1),(143,1)}
      141:{3,5}:{(136,1),(137,1),(144,1)}
      142:{2,4}:{(138,1),(139,1),(143,1),(144,1)}
      143:{1,4}:{(140,1),(142,1)}
      144:{3,4}:{(141,1),(142,1)}

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

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

307 :  0:{1,2,3,6}:{(1,1),(2,1),(26,1),(78,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(5,1),(73,1),(80,1)}
       2:{1,2,3,5}:{(0,1),(4,1),(5,1),(17,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(10,1),(24,1),(26,1),(66,1),(76,1)}
       4:{1,2,5}:{(1,1),(7,1)}
       5:{1,2,4}:{(2,1),(10,1)}
       6:{2,3,4,6}:{(3,1),(12,1),(13,1),(18,1),(33,1),(38,1),(56,1),(71,1)}
       7:{1,3,5}:{(3,1),(4,1),(13,1),(15,1)}
       8:{1,2,5,6}:{(4,1),(14,1),(16,1),(61,1),(80,1)}
       9:{1,2,4,5}:{(4,1),(5,1),(15,1),(16,1),(17,1),(37,1)}
      10:{1,3,4}:{(5,1),(17,1),(18,1)}
      11:{1,2,3,6}:{(19,1),(20,1),(53,1),(64,1)}
      12:{1,3,4,6}:{(6,1),(19,1),(21,1),(28,1),(43,1),(44,1),(51,1),(64,1)}
      13:{2,3,5}:{(6,1),(7,1),(21,1),(23,1)}
      14:{1,3,5,6}:{(7,1),(8,1),(22,1),(24,1),(26,1),(76,1),(79,1)}
      15:{1,4,5}:{(7,1),(23,1),(24,1)}
      16:{1,2,4,6}:{(8,1),(9,1),(24,1),(26,1),(49,1)}
      17:{1,3,5}:{(9,1),(10,1),(26,1),(27,1)}
      18:{2,3,4}:{(10,1),(27,1),(28,1)}
      19:{1,2,4,6}:{(11,1),(12,1),(29,1),(30,1),(40,1),(63,1)}
      20:{1,2,3,5}:{(11,1),(29,1),(30,1),(55,1)}
      21:{1,3,5}:{(12,1),(13,1),(29,1),(32,1)}
      22:{2,3,5,6}:{(13,1),(14,1),(31,1),(33,1),(38,1),(60,1),(61,1),(71,1),(74,1)}
      23:{2,4,5}:{(13,1),(15,1),(32,1),(33,1),(34,1)}
      24:{1,4,6}:{(14,1),(15,1),(33,1)}
      25:{1,3,4,5}:{(15,1),(17,1),(34,1),(36,1),(37,1)}
      26:{1,3,6}:{(16,1),(17,1),(38,1)}
      27:{2,3,5}:{(17,1),(18,1),(37,1),(38,1),(39,1)}
      28:{1,3,4}:{(18,1),(39,1),(40,1)}
      29:{1,2,5}:{(19,1),(21,1)}
      30:{1,2,4}:{(20,1),(43,1)}
      31:{1,3,5,6}:{(21,1),(22,1),(41,1),(44,1),(51,1),(64,1),(70,1)}
      32:{1,4,5}:{(21,1),(23,1),(44,1)}
      33:{2,4,6}:{(22,1),(23,1),(24,1),(44,1),(47,1)}
      34:{3,4,5}:{(23,1),(47,1)}
      35:{1,4,5,6}:{(24,1),(46,1),(48,1),(79,1)}
      36:{1,3,4,6}:{(24,1),(25,1),(26,1),(47,1),(48,1),(49,1)}
      37:{2,4,5}:{(25,1),(27,1),(49,1),(50,1)}
      38:{2,3,6}:{(26,1),(27,1),(49,1),(51,1)}
      39:{1,3,5}:{(27,1),(28,1),(50,1),(51,1),(52,1)}
      40:{1,2,4}:{(28,1),(52,1),(53,1)}
      41:{1,2,5,6}:{(29,1),(31,1),(54,1),(63,1),(74,1)}
      42:{1,2,4,5}:{(29,1),(30,1),(32,1),(54,1),(55,1),(59,1)}
      43:{1,3,4}:{(30,1),(55,1),(56,1)}
      44:{1,4,6}:{(31,1),(32,1),(33,1)}
      45:{1,3,4,5}:{(32,1),(34,1),(55,1),(58,1),(59,1)}
      46:{2,4,5,6}:{(33,1),(35,1),(57,1),(60,1),(61,1),(74,1)}
      47:{3,4,6}:{(33,1),(34,1),(60,1)}
      48:{1,3,5,6}:{(35,1),(36,1),(60,1),(61,1)}
      49:{2,4,6}:{(36,1),(37,1),(38,1),(61,1),(62,1)}
      50:{1,4,5}:{(37,1),(39,1),(62,1)}
      51:{1,3,6}:{(38,1),(39,1),(62,1),(63,1)}
      52:{1,2,5}:{(39,1),(40,1),(63,1)}
      53:{1,2,3}:{(40,1)}
      54:{1,2,4,6}:{(41,1),(42,1),(44,1),(64,1),(68,1)}
      55:{1,3,5}:{(42,1),(43,1),(64,1),(65,1)}
      56:{2,3,4}:{(43,1),(65,1),(66,1)}
      57:{1,4,5,6}:{(44,1),(46,1),(67,1),(70,1)}
      58:{1,3,4,6}:{(44,1),(45,1),(47,1),(64,1),(67,1),(68,1)}
      59:{2,4,5}:{(45,1),(65,1),(68,1),(69,1)}
      60:{3,5,6}:{(46,1),(47,1)}
      61:{2,5,6}:{(48,1),(49,1),(70,1)}
      62:{1,4,6}:{(49,1),(50,1),(51,1),(70,1)}
      63:{1,2,6}:{(51,1),(52,1)}
      64:{1,3,6}:{(54,1),(55,1),(71,1)}
      65:{2,3,5}:{(55,1),(56,1),(59,1),(71,1),(72,1)}
      66:{1,3,4}:{(56,1),(72,1),(73,1)}
      67:{1,3,5,6}:{(57,1),(58,1),(60,1),(74,1)}
      68:{2,4,6}:{(58,1),(59,1),(71,1),(74,1),(75,1)}
      69:{1,4,5}:{(59,1),(72,1),(75,1)}
      70:{1,5,6}:{(61,1),(62,1)}
      71:{2,3,6}:{(64,1),(65,1),(68,1),(76,1)}
      72:{1,3,5}:{(65,1),(66,1),(69,1),(76,1),(77,1)}
      73:{1,2,4}:{(66,1),(77,1),(78,1)}
      74:{2,5,6}:{(67,1),(68,1),(79,1)}
      75:{1,4,6}:{(68,1),(69,1),(76,1),(79,1)}
      76:{1,3,6}:{(71,1),(72,1),(75,1),(80,1)}
      77:{1,2,5}:{(72,1),(73,1),(80,1)}
      78:{1,2,3}:{(73,1)}
      79:{1,5,6}:{(74,1),(75,1)}
      80:{1,2,6}:{(76,1),(77,1)}

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

309 :   0:{1,2,5,6}:{(2,1),(3,1),(42,1),(69,1),(110,1),(117,1),(120,1)}
        1:{1,2,4,5}:{(3,1),(4,1),(13,1),(15,1),(35,1),(42,1),(68,1),(77,1),(120,1),(122,1),(155,1)}
        2:{1,3,5,6}:{(0,1),(5,1),(6,1),(8,1),(26,1),(96,1),(98,1),(140,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(6,1),(8,1),(27,1),(51,1),(89,1),(130,1)}
        4:{1,3,5}:{(1,1),(7,1),(8,1),(9,1),(100,1),(141,1)}
        5:{2,3,5,6}:{(2,1),(11,1),(12,1),(16,1),(39,1),(42,1),(73,1),(75,1),(110,1),(123,1),(147,1)}
        6:{1,4,6}:{(2,1),(12,1),(13,1),(155,1)}
        7:{1,3,4}:{(4,1),(15,1),(155,1),(156,1)}
        8:{1,3,6}:{(3,1),(4,1),(16,1),(147,1)}
        9:{2,3,5}:{(4,1),(15,1),(16,1),(17,1),(42,1),(68,1),(81,1)}
       10:{1,3,4,5}:{(7,1),(19,1),(20,1),(26,1),(49,1),(57,1),(93,1),(101,1),(134,1),(141,1)}
       11:{1,3,5,6}:{(5,1),(21,1),(22,1),(29,1),(54,1),(55,1),(61,1),(104,1)}
       12:{2,4,6}:{(5,1),(6,1),(22,1),(23,1),(24,1),(142,1)}
       13:{1,4,5}:{(6,1),(23,1),(26,1),(98,1)}
       14:{1,3,4,6}:{(6,1),(7,1),(8,1),(24,1),(26,1),(27,1)}
       15:{2,4}:{(7,1),(9,1),(28,1)}
       16:{2,3,6}:{(8,1),(9,1),(27,1),(29,1),(89,1)}
       17:{1,3,5}:{(9,1),(28,1),(29,1),(30,1),(61,1),(63,1)}
       18:{1,4,5,6}:{(13,1),(31,1),(33,1),(106,1),(109,1),(150,1)}
       19:{1,3,4,6}:{(10,1),(33,1),(34,1),(65,1),(67,1),(109,1),(147,1)}
       20:{2,4,5}:{(10,1),(15,1),(32,1),(34,1),(35,1),(42,1),(68,1),(112,1),(149,1)}
       21:{1,2,5,6}:{(11,1),(36,1),(45,1),(75,1),(82,1),(106,1),(110,1)}
       22:{1,4,6}:{(11,1),(12,1),(37,1),(124,1)}
       23:{2,4,5}:{(12,1),(13,1),(37,1),(39,1),(42,1),(75,1)}
       24:{3,4,6}:{(12,1),(39,1),(147,1),(156,1)}
       25:{2,3,4}:{(15,1),(32,1),(41,1),(81,1),(112,1),(156,1)}
       26:{1,3,5}:{(13,1),(14,1),(39,1),(42,1)}
       27:{2,4,6}:{(14,1),(15,1),(16,1),(42,1),(43,1)}
       28:{1,4}:{(15,1),(17,1)}
       29:{1,3,6}:{(16,1),(17,1),(43,1),(45,1)}
       30:{1,2,5}:{(17,1),(44,1),(45,1),(68,1)}
       31:{2,4,5,6}:{(18,1),(23,1),(46,1),(47,1),(50,1),(85,1),(87,1),(130,1),(162,1)}
       32:{2,3,5}:{(20,1),(25,1),(48,1),(49,1),(141,1)}
       33:{1,3,5,6}:{(18,1),(19,1),(26,1),(47,1),(50,1),(134,1)}
       34:{2,4,6}:{(19,1),(20,1),(48,1),(50,1),(51,1),(89,1)}
       35:{1,4,5}:{(20,1),(28,1),(49,1),(51,1),(61,1),(129,1),(160,1)}
       36:{1,2,4,6}:{(21,1),(22,1),(53,1),(54,1),(56,1),(126,1),(130,1),(157,1)}
       37:{1,4,5}:{(22,1),(23,1),(55,1),(61,1)}
       38:{1,3,4,6}:{(22,1),(24,1),(54,1),(55,1),(56,1),(94,1)}
       39:{3,5}:{(23,1),(24,1)}
       40:{2,3,4,6}:{(24,1),(25,1),(27,1),(48,1),(56,1),(58,1),(59,1),(87,1),(103,1),(125,1),(132,1),(135,1),(142,1),(161,1),(178,1)}
       41:{1,3,4}:{(25,1),(28,1),(49,1),(60,1),(63,1),(100,1),(129,1)}
       42:{2,5}:{(26,1),(27,1),(61,1)}
       43:{1,4,6}:{(27,1),(28,1),(29,1),(61,1)}
       44:{1,2,4}:{(28,1),(30,1),(60,1),(63,1)}
       45:{1,2,6}:{(29,1),(30,1),(89,1)}
       46:{1,4,5,6}:{(31,1),(37,1),(64,1),(69,1),(109,1),(171,1)}
       47:{3,5,6}:{(31,1),(39,1),(65,1),(147,1),(172,1)}
       48:{2,3,6}:{(32,1),(34,1),(67,1),(147,1)}
       49:{1,3,5}:{(32,1),(35,1),(41,1),(67,1),(68,1)}
       50:{2,5,6}:{(33,1),(34,1),(42,1),(69,1),(149,1)}
       51:{1,4,6}:{(34,1),(35,1),(67,1),(69,1)}
       52:{1,2,4,5}:{(35,1),(44,1),(68,1),(70,1),(71,1),(82,1),(112,1),(122,1),(124,1),(149,1),(150,1)}
       53:{1,2,4,5}:{(36,1),(37,1),(72,1),(75,1),(82,1),(115,1),(119,1),(122,1),(124,1),(153,1),(173,1)}
       54:{1,3,6}:{(36,1),(72,1),(73,1),(147,1)}
       55:{1,3,5}:{(37,1),(38,1),(39,1),(75,1)}
       56:{2,4,6}:{(38,1),(73,1),(75,1),(76,1),(115,1)}
       57:{3,4,5}:{(39,1),(65,1),(78,1),(156,1),(172,1)}
       58:{2,3,5}:{(39,1),(40,1),(42,1),(75,1),(78,1),(79,1),(149,1),(172,1),(183,1)}
       59:{1,3,4,6}:{(40,1),(41,1),(43,1),(67,1),(76,1),(79,1),(80,1),(83,1),(109,1),(121,1),(124,1),(143,1),(146,1),(147,1),(151,1),(155,1),(156,1),(182,1)}
       60:{2,4}:{(41,1),(68,1),(81,1)}
       61:{1,5}:{(42,1),(43,1)}
       62:{1,2,4,6}:{(43,1),(44,1),(45,1),(80,1),(82,1),(83,1),(124,1),(168,1),(173,1),(182,1)}
       63:{1,3}:{(44,1),(81,1)}
       64:{1,3,5,6}:{(46,1),(47,1),(55,1),(84,1),(85,1),(179,1)}
       65:{3,4,6}:{(47,1),(57,1),(87,1)}
       66:{2,3,5,6}:{(47,1),(48,1),(50,1),(58,1),(85,1),(87,1),(88,1),(125,1)}
       67:{1,3,6}:{(48,1),(49,1),(51,1),(89,1)}
       68:{2,5}:{(49,1),(60,1),(89,1)}
       69:{1,5,6}:{(50,1),(51,1),(61,1),(160,1)}
       70:{1,2,4,6}:{(51,1),(52,1),(89,1),(91,1),(92,1),(130,1),(132,1),(133,1)}
       71:{1,3,5}:{(52,1),(63,1),(90,1),(92,1),(93,1),(141,1)}
       72:{1,3,5}:{(53,1),(54,1),(94,1),(95,1),(141,1),(180,1)}
       73:{2,3,6}:{(54,1),(56,1),(95,1),(96,1),(157,1)}
       74:{1,3,4,5}:{(55,1),(57,1),(84,1),(94,1),(97,1),(101,1),(138,1),(141,1),(167,1),(179,1)}
       75:{2,5}:{(55,1),(56,1),(98,1)}
       76:{1,4,6}:{(56,1),(96,1),(98,1),(136,1)}
       77:{1,2,4}:{(60,1),(86,1),(100,1),(129,1)}
       78:{2,4,5}:{(57,1),(58,1),(87,1),(101,1),(142,1)}
       79:{1,3,5}:{(58,1),(59,1),(61,1),(98,1),(101,1),(102,1),(141,1),(160,1),(184,1)}
       80:{2,4,6}:{(59,1),(60,1),(89,1),(102,1),(103,1),(142,1),(157,1),(163,1)}
       81:{2,3}:{(60,1),(63,1),(100,1)}
       82:{1,2,5}:{(61,1),(62,1),(102,1),(104,1),(184,1)}
       83:{1,3,6}:{(62,1),(63,1),(103,1),(104,1),(180,1)}
       84:{1,3,4,6}:{(64,1),(65,1),(74,1),(105,1),(109,1),(143,1),(147,1)}
       85:{2,5,6}:{(64,1),(75,1),(105,1),(106,1),(183,1)}
       86:{1,2,5}:{(68,1),(77,1),(107,1),(108,1)}
       87:{2,4,6}:{(65,1),(66,1),(78,1),(109,1)}
       88:{1,3,5,6}:{(66,1),(67,1),(69,1),(79,1),(106,1),(109,1),(110,1),(143,1),(147,1)}
       89:{2,6}:{(67,1),(68,1)}
       90:{2,3,5}:{(68,1),(71,1),(81,1),(108,1),(111,1),(112,1),(149,1)}
       91:{1,2,5,6}:{(69,1),(70,1),(82,1),(110,1),(113,1),(149,1),(168,1)}
       92:{1,3,6}:{(70,1),(71,1),(111,1),(147,1)}
       93:{1,3,4}:{(71,1),(112,1),(124,1),(156,1)}
       94:{1,3,4}:{(72,1),(115,1),(124,1),(156,1)}
       95:{2,3,5}:{(72,1),(73,1),(75,1),(115,1),(116,1),(153,1),(174,1)}
       96:{1,3,6}:{(73,1),(76,1),(116,1),(117,1)}
       97:{2,4,5}:{(74,1),(75,1),(105,1),(115,1),(118,1),(119,1),(153,1),(176,1),(183,1)}
       98:{1,5}:{(75,1),(76,1)}
       99:{1,2,4,6}:{(76,1),(77,1),(80,1),(107,1),(117,1),(120,1),(121,1),(146,1),(152,1),(155,1)}
      100:{1,3}:{(77,1),(81,1)}
      101:{1,4,5}:{(78,1),(79,1),(109,1),(122,1),(124,1),(155,1)}
      102:{2,5}:{(79,1),(80,1)}
      103:{2,3,6}:{(80,1),(81,1),(83,1),(121,1),(123,1),(147,1),(174,1)}
      104:{1,3,5}:{(82,1),(83,1),(123,1),(124,1)}
      105:{2,4,6}:{(84,1),(85,1),(97,1),(125,1),(126,1),(157,1)}
      106:{1,5,6}:{(85,1),(98,1),(126,1),(184,1)}
      107:{1,2,6}:{(86,1),(89,1),(128,1)}
      108:{1,3,5}:{(86,1),(90,1),(100,1),(128,1),(129,1),(160,1)}
      109:{1,4,6}:{(87,1),(88,1),(101,1),(130,1)}
      110:{2,5,6}:{(88,1),(89,1),(102,1),(130,1),(157,1)}
      111:{2,3,6}:{(89,1),(90,1),(92,1),(128,1),(132,1)}
      112:{2,4}:{(90,1),(93,1),(129,1)}
      113:{1,3,5,6}:{(91,1),(92,1),(104,1),(131,1),(133,1),(134,1),(177,1),(184,1)}
      114:{1,3,4,6}:{(92,1),(93,1),(132,1),(133,1),(134,1),(161,1)}
      115:{2,4}:{(94,1),(95,1),(136,1)}
      116:{1,3,5}:{(95,1),(96,1),(98,1),(136,1),(137,1),(164,1)}
      117:{1,2,6}:{(96,1),(137,1),(157,1)}
      118:{2,3,5}:{(97,1),(125,1),(135,1),(138,1),(141,1)}
      119:{1,4,5}:{(97,1),(98,1),(126,1),(136,1),(138,1),(181,1),(184,1)}
      120:{1,2,5}:{(98,1),(99,1),(102,1),(140,1),(160,1)}
      121:{1,3,6}:{(99,1),(100,1),(103,1),(140,1),(164,1)}
      122:{2,4,5}:{(101,1),(102,1),(130,1),(141,1),(142,1)}
      123:{2,3,5}:{(102,1),(103,1),(104,1),(140,1),(141,1),(142,1)}
      124:{1,4}:{(104,1),(142,1)}
      125:{2,3,6}:{(105,1),(118,1),(143,1),(147,1)}
      126:{1,4,6}:{(105,1),(106,1),(119,1),(143,1)}
      127:{1,2,5,6}:{(106,1),(107,1),(110,1),(120,1),(144,1),(145,1),(183,1)}
      128:{1,3,6}:{(107,1),(108,1),(111,1),(146,1)}
      129:{1,4}:{(108,1),(112,1)}
      130:{2,4,6}:{(109,1),(110,1),(122,1),(147,1)}
      131:{2,3,5,6}:{(110,1),(111,1),(113,1),(123,1),(145,1),(147,1),(148,1),(149,1),(169,1),(172,1),(183,1)}
      132:{2,4,6}:{(111,1),(112,1),(114,1),(146,1),(149,1)}
      133:{1,4,6}:{(113,1),(124,1),(148,1),(150,1)}
      134:{1,3,5}:{(114,1),(149,1),(150,1),(172,1)}
      135:{2,3,4}:{(115,1),(118,1),(151,1),(156,1),(174,1),(176,1)}
      136:{1,4}:{(115,1),(116,1)}
      137:{1,2,5}:{(116,1),(117,1),(152,1),(153,1)}
      138:{1,3,5}:{(118,1),(119,1),(143,1),(151,1),(153,1)}
      139:{1,2,4,5}:{(119,1),(120,1),(122,1),(144,1),(152,1),(153,1),(154,1),(155,1),(171,1),(176,1),(183,1)}
      140:{1,3,5}:{(120,1),(121,1),(123,1),(155,1)}
      141:{3,5}:{(122,1),(147,1),(156,1)}
      142:{2,4}:{(123,1),(124,1),(155,1),(156,1)}
      143:{1,3,6}:{(125,1),(126,1),(138,1),(157,1)}
      144:{1,2,4,6}:{(126,1),(127,1),(130,1),(139,1),(157,1),(158,1),(159,1),(178,1)}
      145:{1,3,5,6}:{(127,1),(128,1),(131,1),(140,1),(158,1),(159,1),(160,1),(179,1)}
      146:{1,4,6}:{(128,1),(129,1),(132,1),(160,1)}
      147:{3,6}:{(130,1),(141,1)}
      148:{2,4,6}:{(131,1),(133,1),(142,1),(159,1),(161,1),(162,1)}
      149:{2,5}:{(132,1),(134,1),(160,1)}
      150:{1,4,5}:{(133,1),(134,1),(162,1),(184,1)}
      151:{1,3,4}:{(135,1),(136,1),(138,1),(163,1),(164,1),(180,1),(181,1)}
      152:{1,2,4}:{(136,1),(137,1),(163,1),(164,1)}
      153:{2,5}:{(138,1),(157,1),(163,1)}
      154:{1,3,5}:{(139,1),(141,1),(158,1),(164,1),(166,1),(167,1)}
      155:{1,4}:{(140,1),(142,1)}
      156:{3,4}:{(141,1),(142,1)}
      157:{2,6}:{(143,1),(153,1)}
      158:{1,3,6}:{(144,1),(147,1),(154,1),(169,1)}
      159:{1,4,6}:{(145,1),(148,1),(155,1),(171,1)}
      160:{1,5}:{(146,1),(149,1)}
      161:{3,4,6}:{(147,1),(148,1),(156,1),(172,1)}
      162:{2,4,5}:{(148,1),(149,1),(150,1),(171,1),(172,1),(183,1)}
      163:{2,4}:{(151,1),(153,1),(174,1)}
      164:{1,3}:{(152,1),(174,1)}
      165:{1,2,5}:{(153,1),(168,1),(173,1),(175,1)}
      166:{2,3,5}:{(153,1),(154,1),(169,1),(174,1),(175,1),(176,1),(183,1)}
      167:{1,3,4}:{(154,1),(155,1),(156,1),(176,1)}
      168:{1,2,6}:{(157,1),(165,1),(177,1)}
      169:{2,3,6}:{(157,1),(158,1),(166,1),(177,1),(178,1)}
      170:{1,3,4,6}:{(158,1),(159,1),(161,1),(167,1),(178,1),(179,1)}
      171:{1,4,5}:{(159,1),(160,1),(162,1),(179,1)}
      172:{3,5}:{(161,1),(162,1)}
      173:{1,2,4}:{(163,1),(165,1),(180,1),(181,1)}
      174:{2,3}:{(163,1),(164,1),(180,1)}
      175:{1,3,5}:{(165,1),(166,1),(177,1),(180,1),(181,1),(184,1)}
      176:{2,4}:{(166,1),(167,1),(181,1)}
      177:{1,3,6}:{(168,1),(169,1),(175,1),(182,1)}
      178:{2,4,6}:{(169,1),(170,1),(176,1),(182,1),(183,1)}
      179:{1,3,5}:{(170,1),(171,1),(172,1),(183,1)}
      180:{1,3}:{(173,1),(174,1)}
      181:{1,4}:{(175,1),(176,1)}
      182:{1,4,6}:{(177,1),(178,1),(181,1),(184,1)}
      183:{2,5}:{(178,1),(179,1),(184,1)}
      184:{1,5}:{(182,1),(183,1)}

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

311 :  0:{2,3,5,6}:{(1,1),(2,1),(10,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2,5,6}:{(1,1),(7,1),(17,1),(25,1)}
       4:{1,4,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{2,4,5}:{(2,1),(8,1),(10,1),(17,1),(28,1)}
       6:{3,4,6}:{(2,1),(10,1)}
       7:{2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,4,5}:{(4,1),(5,1),(11,1),(13,1),(22,1),(26,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(12,1),(13,1),(14,1),(19,1),(21,1),(26,1),(29,1)}
      10:{3,5}:{(5,1),(6,1),(29,1)}
      11:{2,4,5}:{(7,1),(8,1),(15,1),(17,1),(23,1)}
      12:{3,6}:{(7,1),(15,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(15,1),(17,1)}
      14:{2,4,6}:{(9,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(12,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(20,1),(21,1),(29,1)}
      17:{2,5}:{(13,1),(14,1),(22,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(21,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

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

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

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

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

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

317 :  0:{2,3,4}:{(2,1),(3,1),(18,1),(36,1)}
       1:{3,4,5}:{(5,1),(6,1),(41,1),(51,1)}
       2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1)}
       3:{1,3,4}:{(0,1),(7,1),(9,1),(11,1),(22,1),(29,1),(39,1),(41,1)}
       4:{1,2,4}:{(9,1),(10,1),(11,1),(29,1)}
       5:{2,4,5}:{(1,1),(2,1),(13,1),(14,1),(36,1),(49,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1)}
       7:{1,3,5}:{(2,1),(3,1),(13,1),(16,1),(17,1),(33,1)}
       8:{2,3,6}:{(2,1),(14,1),(17,1)}
       9:{2,4}:{(3,1),(16,1),(18,1)}
      10:{1,2,5}:{(4,1),(16,1),(19,1),(20,1)}
      11:{1,3}:{(4,1),(18,1)}
      12:{1,2,4}:{(9,1),(21,1),(22,1),(39,1)}
      13:{1,4,5}:{(5,1),(7,1),(23,1),(24,1),(29,1),(39,1),(45,1),(50,1)}
      14:{2,4,6}:{(5,1),(6,1),(8,1),(24,1),(25,1)}
      15:{3,5,6}:{(6,1),(25,1),(26,1),(51,1)}
      16:{2,5}:{(7,1),(9,1),(28,1)}
      17:{1,3,6}:{(7,1),(8,1),(24,1),(28,1),(42,1)}
      18:{2,3}:{(9,1),(11,1),(22,1)}
      19:{1,3,5}:{(10,1),(11,1),(27,1),(29,1),(30,1),(45,1)}
      20:{1,2,6}:{(10,1),(28,1),(30,1)}
      21:{1,2,5}:{(12,1),(16,1),(31,1),(32,1)}
      22:{1,3}:{(12,1),(18,1)}
      23:{2,4,5}:{(13,1),(16,1),(33,1),(34,1),(36,1),(49,1),(53,1)}
      24:{1,4,6}:{(13,1),(14,1),(17,1),(34,1),(35,1)}
      25:{2,5,6}:{(14,1),(15,1),(35,1),(49,1)}
      26:{4,5,6}:{(15,1),(53,1)}
      27:{2,3,5}:{(16,1),(18,1),(19,1),(31,1),(33,1),(36,1),(37,1),(49,1)}
      28:{2,6}:{(16,1),(17,1)}
      29:{1,4}:{(19,1),(36,1)}
      30:{1,3,6}:{(19,1),(20,1),(37,1),(38,1)}
      31:{1,3,5}:{(21,1),(22,1),(27,1),(39,1),(40,1),(50,1)}
      32:{1,2,6}:{(21,1),(28,1),(40,1)}
      33:{3,5}:{(23,1),(41,1),(42,1)}
      34:{2,4,6}:{(23,1),(24,1),(28,1),(42,1),(43,1),(52,1)}
      35:{1,5,6}:{(24,1),(25,1),(43,1),(45,1),(50,1)}
      36:{2,4}:{(27,1),(29,1),(39,1),(41,1)}
      37:{2,3,6}:{(27,1),(28,1),(30,1),(40,1),(42,1),(44,1)}
      38:{1,4,6}:{(29,1),(30,1),(44,1),(45,1)}
      39:{1,4}:{(31,1),(36,1)}
      40:{1,3,6}:{(31,1),(32,1),(37,1),(46,1)}
      41:{3,4}:{(33,1),(36,1)}
      42:{3,6}:{(33,1),(34,1)}
      43:{2,5,6}:{(34,1),(35,1),(48,1),(49,1)}
      44:{2,4,6}:{(36,1),(37,1),(38,1),(46,1),(47,1),(49,1)}
      45:{1,5}:{(38,1),(49,1)}
      46:{1,4,6}:{(39,1),(40,1),(44,1),(50,1)}
      47:{3,4,6}:{(41,1),(42,1),(44,1),(51,1),(52,1)}
      48:{3,5,6}:{(42,1),(43,1),(51,1),(52,1)}
      49:{2,5}:{(44,1),(45,1),(50,1),(51,1)}
      50:{1,5}:{(46,1),(49,1)}
      51:{3,5}:{(47,1),(49,1),(53,1)}
      52:{4,6}:{(48,1),(53,1)}
      53:{4,5}:{(51,1),(52,1)}

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

319 :   0:{1,3,4,5}:{(2,1),(3,1),(10,1),(15,1),(38,1),(89,1),(90,1),(130,1)}
        1:{1,2,4,5}:{(4,1),(5,1),(7,1),(21,1),(28,1),(54,1),(57,1),(59,1),(60,1),(94,1),(104,1),(110,1),(138,1),(141,1)}
        2:{2,4,5}:{(0,1),(6,1),(7,1),(8,1),(21,1),(28,1),(59,1)}
        3:{1,3,4,6}:{(0,1),(8,1),(9,1),(29,1),(69,1),(70,1),(112,1)}
        4:{1,3,5}:{(1,1),(10,1),(11,1),(12,1),(80,1),(130,1),(153,1)}
        5:{1,2,4,6}:{(1,1),(12,1),(13,1),(17,1),(37,1),(42,1),(46,1),(77,1),(91,1),(115,1),(150,1)}
        6:{2,3,5}:{(2,1),(14,1),(15,1),(16,1),(130,1)}
        7:{1,4,5}:{(2,1),(15,1),(17,1),(36,1),(82,1)}
        8:{2,4,6}:{(2,1),(3,1),(16,1),(17,1),(18,1),(46,1)}
        9:{1,3,5,6}:{(3,1),(18,1),(19,1),(38,1),(50,1)}
       10:{1,3,4}:{(4,1),(21,1),(141,1),(146,1),(165,1)}
       11:{2,3,5}:{(4,1),(21,1),(23,1),(24,1),(28,1),(59,1),(64,1),(94,1),(97,1)}
       12:{1,3,6}:{(4,1),(5,1),(24,1),(112,1),(163,1)}
       13:{1,2,5,6}:{(5,1),(25,1),(31,1),(59,1),(68,1),(101,1),(104,1),(134,1),(171,1)}
       14:{2,3,4}:{(6,1),(21,1),(26,1),(97,1),(146,1)}
       15:{1,3,5}:{(6,1),(7,1),(26,1),(28,1),(29,1)}
       16:{2,3,6}:{(6,1),(8,1),(29,1),(112,1)}
       17:{1,4,6}:{(7,1),(8,1),(29,1),(31,1)}
       18:{2,5,6}:{(8,1),(9,1),(31,1),(59,1)}
       19:{1,4,5,6}:{(9,1),(32,1),(60,1),(69,1),(114,1)}
       20:{1,3,4,5}:{(10,1),(34,1),(35,1),(38,1),(72,1),(120,1),(121,1),(153,1)}
       21:{2,4}:{(10,1),(11,1),(36,1)}
       22:{1,3,4,6}:{(10,1),(12,1),(37,1),(38,1),(42,1),(86,1)}
       23:{1,3,5}:{(11,1),(36,1),(39,1),(40,1),(80,1),(82,1)}
       24:{2,3,6}:{(11,1),(12,1),(37,1),(40,1),(46,1),(115,1)}
       25:{1,3,5,6}:{(12,1),(13,1),(38,1),(41,1),(42,1),(124,1),(158,1),(159,1)}
       26:{1,3,4}:{(14,1),(15,1),(36,1),(43,1),(80,1)}
       27:{2,3,4,6}:{(14,1),(16,1),(37,1),(44,1),(45,1),(48,1),(86,1),(118,1),(128,1),(132,1),(152,1),(160,1)}
       28:{2,5}:{(15,1),(43,1),(46,1)}
       29:{1,3,6}:{(15,1),(16,1),(17,1),(46,1)}
       30:{2,3,5,6}:{(16,1),(18,1),(45,1),(47,1),(48,1),(50,1),(93,1),(132,1)}
       31:{1,5,6}:{(17,1),(18,1),(82,1)}
       32:{2,4,5,6}:{(18,1),(19,1),(48,1),(49,1),(50,1),(83,1),(91,1),(93,1)}
       33:{2,3,4}:{(21,1),(51,1),(52,1),(64,1),(165,1)}
       34:{2,4,5}:{(20,1),(21,1),(51,1),(54,1),(55,1),(59,1),(94,1)}
       35:{1,3,4,6}:{(20,1),(55,1),(56,1),(95,1),(135,1),(136,1),(163,1)}
       36:{1,4}:{(21,1),(23,1)}
       37:{2,4,6}:{(21,1),(22,1),(24,1),(58,1),(59,1)}
       38:{1,3,5}:{(22,1),(59,1),(60,1),(106,1)}
       39:{1,2,5}:{(23,1),(28,1),(57,1),(61,1),(94,1)}
       40:{1,3,6}:{(23,1),(24,1),(58,1),(61,1)}
       41:{2,3,5,6}:{(24,1),(25,1),(59,1),(62,1),(63,1),(68,1),(106,1),(109,1),(112,1),(134,1),(137,1),(143,1),(144,1),(163,1)}
       42:{1,4,6}:{(25,1),(60,1),(63,1),(141,1)}
       43:{2,4}:{(26,1),(28,1),(64,1)}
       44:{1,3,4,6}:{(26,1),(27,1),(29,1),(58,1),(65,1),(66,1),(69,1),(103,1),(112,1),(141,1),(145,1),(146,1),(149,1),(172,1)}
       45:{2,3,5}:{(27,1),(59,1),(66,1),(67,1),(106,1),(143,1)}
       46:{2,6}:{(28,1),(29,1)}
       47:{1,3,5,6}:{(29,1),(30,1),(31,1),(66,1),(68,1),(69,1),(112,1),(114,1),(149,1)}
       48:{2,4,6}:{(30,1),(67,1),(69,1),(70,1)}
       49:{1,4,5,6}:{(31,1),(32,1),(69,1),(71,1),(105,1)}
       50:{3,5,6}:{(32,1),(70,1),(106,1),(112,1)}
       51:{2,3,5}:{(33,1),(34,1),(72,1),(73,1),(153,1)}
       52:{1,3,4}:{(33,1),(36,1),(72,1),(74,1),(80,1)}
       53:{2,3,4,6}:{(33,1),(37,1),(73,1),(75,1),(76,1),(86,1),(87,1),(117,1),(128,1),(129,1),(174,1),(176,1)}
       54:{1,4,5}:{(34,1),(36,1),(72,1),(77,1),(82,1)}
       55:{2,4,6}:{(34,1),(35,1),(73,1),(77,1),(78,1),(115,1)}
       56:{1,3,5,6}:{(35,1),(38,1),(78,1),(79,1),(123,1)}
       57:{1,2,4}:{(36,1),(39,1),(43,1),(74,1),(80,1)}
       58:{1,4,6}:{(36,1),(37,1),(40,1),(82,1)}
       59:{2,5}:{(37,1),(38,1),(82,1)}
       60:{1,4,5}:{(38,1),(42,1),(83,1),(158,1)}
       61:{1,2,6}:{(39,1),(40,1),(46,1),(115,1)}
       62:{1,3,5,6}:{(40,1),(41,1),(82,1),(84,1),(85,1),(124,1),(126,1),(127,1)}
       63:{2,4,6}:{(41,1),(42,1),(83,1),(85,1),(86,1),(129,1),(152,1)}
       64:{2,3}:{(43,1),(80,1)}
       65:{2,4,6}:{(43,1),(44,1),(46,1),(87,1),(88,1),(129,1),(162,1),(180,1)}
       66:{1,3,5}:{(44,1),(45,1),(82,1),(88,1),(89,1),(130,1),(158,1)}
       67:{2,4,5}:{(45,1),(48,1),(89,1),(90,1),(152,1)}
       68:{2,5,6}:{(46,1),(47,1),(88,1),(91,1),(162,1)}
       69:{1,4,6}:{(47,1),(48,1),(89,1),(91,1)}
       70:{3,4,6}:{(48,1),(50,1),(90,1)}
       71:{1,3,5,6}:{(49,1),(50,1),(92,1),(93,1),(126,1)}
       72:{1,3,5}:{(51,1),(52,1),(54,1),(94,1),(95,1)}
       73:{2,3,6}:{(51,1),(55,1),(95,1),(163,1)}
       74:{2,4}:{(52,1),(94,1),(97,1)}
       75:{1,3,4,6}:{(52,1),(53,1),(58,1),(95,1),(98,1),(99,1),(103,1),(135,1),(141,1),(145,1),(163,1),(165,1),(181,1),(182,1)}
       76:{2,3,5}:{(53,1),(59,1),(99,1),(100,1),(106,1),(143,1)}
       77:{1,4,6}:{(54,1),(55,1),(95,1),(101,1)}
       78:{2,5,6}:{(55,1),(56,1),(59,1),(101,1)}
       79:{1,4,5,6}:{(56,1),(60,1),(102,1),(135,1),(168,1)}
       80:{1,3}:{(57,1),(64,1),(97,1)}
       81:{1,2,4,6}:{(57,1),(58,1),(61,1),(65,1),(98,1),(103,1),(104,1),(141,1),(145,1),(171,1),(184,1)}
       82:{1,5}:{(58,1),(59,1)}
       83:{2,4,5}:{(59,1),(60,1),(63,1),(105,1),(106,1),(143,1)}
       84:{1,2,5,6}:{(61,1),(62,1),(68,1),(104,1),(107,1),(114,1),(134,1),(143,1),(168,1)}
       85:{1,4,6}:{(62,1),(63,1),(105,1),(141,1)}
       86:{3,4,6}:{(63,1),(106,1),(112,1),(146,1),(163,1),(165,1)}
       87:{2,3,6}:{(64,1),(65,1),(103,1),(109,1),(112,1),(185,1)}
       88:{2,5}:{(65,1),(66,1)}
       89:{1,4,5}:{(66,1),(67,1),(69,1),(110,1),(141,1)}
       90:{3,4,5}:{(67,1),(70,1),(106,1),(165,1)}
       91:{2,4,6}:{(68,1),(69,1),(110,1),(112,1)}
       92:{1,3,4,6}:{(69,1),(70,1),(71,1),(111,1),(112,1),(113,1),(149,1)}
       93:{2,5,6}:{(71,1),(113,1),(114,1),(143,1)}
       94:{2,5}:{(72,1),(74,1),(115,1)}
       95:{1,3,6}:{(72,1),(73,1),(77,1),(115,1)}
       96:{2,3,5,6}:{(73,1),(76,1),(78,1),(116,1),(117,1),(123,1),(155,1),(174,1)}
       97:{2,3}:{(74,1),(80,1)}
       98:{2,4,6}:{(74,1),(75,1),(115,1),(118,1),(119,1),(152,1),(186,1),(187,1)}
       99:{1,3,5}:{(75,1),(76,1),(82,1),(119,1),(120,1),(153,1),(158,1)}
      100:{2,4,5}:{(76,1),(117,1),(120,1),(121,1),(129,1)}
      101:{1,5,6}:{(77,1),(78,1),(82,1)}
      102:{2,4,5,6}:{(78,1),(79,1),(83,1),(117,1),(122,1),(123,1),(150,1),(155,1)}
      103:{1,3,6}:{(80,1),(81,1),(87,1),(118,1),(124,1),(188,1)}
      104:{1,2,5}:{(81,1),(82,1),(88,1),(119,1),(124,1),(158,1)}
      105:{1,4,5}:{(82,1),(83,1),(85,1),(126,1)}
      106:{3,5}:{(83,1),(86,1)}
      107:{1,2,4,6}:{(84,1),(85,1),(91,1),(125,1),(127,1),(128,1),(133,1),(150,1),(162,1),(175,1),(186,1)}
      108:{1,3,4,6}:{(85,1),(86,1),(126,1),(127,1),(128,1),(156,1)}
      109:{2,3,5}:{(87,1),(88,1),(124,1),(129,1),(130,1)}
      110:{2,4,5}:{(88,1),(89,1),(91,1),(129,1),(130,1)}
      111:{1,3,4,5}:{(89,1),(90,1),(92,1),(126,1),(130,1),(131,1),(156,1),(161,1)}
      112:{3,6}:{(91,1),(130,1)}
      113:{2,4,6}:{(92,1),(93,1),(131,1),(132,1),(133,1),(162,1)}
      114:{1,5,6}:{(93,1),(133,1),(158,1)}
      115:{2,6}:{(94,1),(95,1)}
      116:{1,3,5,6}:{(95,1),(96,1),(99,1),(101,1),(134,1),(135,1),(163,1),(168,1),(181,1)}
      117:{2,4,6}:{(96,1),(100,1),(135,1),(136,1)}
      118:{2,3,6}:{(97,1),(98,1),(103,1),(137,1),(163,1),(189,1)}
      119:{2,5}:{(98,1),(99,1)}
      120:{1,4,5}:{(99,1),(100,1),(135,1),(138,1),(141,1)}
      121:{3,4,5}:{(100,1),(106,1),(136,1),(146,1)}
      122:{1,4,5,6}:{(101,1),(102,1),(105,1),(135,1),(140,1)}
      123:{3,5,6}:{(102,1),(106,1),(136,1),(163,1)}
      124:{1,3,5}:{(103,1),(104,1),(109,1),(137,1),(141,1)}
      125:{1,2,4,5}:{(104,1),(105,1),(107,1),(110,1),(138,1),(141,1),(142,1),(143,1),(148,1),(167,1),(169,1),(173,1),(183,1),(184,1)}
      126:{1,3,5}:{(105,1),(106,1),(108,1),(143,1)}
      127:{1,3,6}:{(107,1),(112,1),(142,1),(144,1),(163,1)}
      128:{2,4,6}:{(108,1),(143,1),(144,1),(145,1),(169,1)}
      129:{2,4}:{(109,1),(141,1),(146,1)}
      130:{3,5}:{(110,1),(112,1),(146,1)}
      131:{2,4,5}:{(111,1),(113,1),(143,1),(147,1),(148,1),(169,1),(173,1)}
      132:{2,3,6}:{(112,1),(113,1),(147,1),(149,1)}
      133:{1,4,6}:{(113,1),(114,1),(148,1),(149,1)}
      134:{2,5,6}:{(115,1),(116,1),(119,1),(150,1),(186,1)}
      135:{1,4,6}:{(116,1),(117,1),(120,1),(150,1)}
      136:{3,4,6}:{(117,1),(121,1),(123,1)}
      137:{2,3,5}:{(118,1),(119,1),(124,1),(152,1),(153,1)}
      138:{2,4,5}:{(119,1),(120,1),(150,1),(152,1),(153,1)}
      139:{1,3,4,5}:{(120,1),(121,1),(126,1),(151,1),(153,1),(154,1),(156,1),(177,1)}
      140:{1,3,5,6}:{(122,1),(123,1),(126,1),(151,1),(155,1)}
      141:{1,4}:{(124,1),(129,1),(152,1)}
      142:{1,3,5}:{(125,1),(127,1),(130,1),(153,1),(156,1),(157,1),(188,1)}
      143:{2,5}:{(126,1),(128,1),(158,1)}
      144:{2,3,6}:{(127,1),(128,1),(157,1),(159,1),(162,1),(186,1)}
      145:{1,4,6}:{(128,1),(158,1),(159,1),(178,1)}
      146:{3,4}:{(129,1),(130,1)}
      147:{2,3,5}:{(130,1),(131,1),(132,1),(160,1),(161,1)}
      148:{1,4,5}:{(131,1),(133,1),(158,1),(161,1),(178,1)}
      149:{1,3,6}:{(132,1),(133,1),(161,1),(162,1)}
      150:{2,4,6}:{(134,1),(135,1),(138,1),(163,1)}
      151:{1,3,4,6}:{(135,1),(136,1),(139,1),(140,1),(163,1),(164,1),(181,1)}
      152:{2,4}:{(137,1),(141,1),(165,1)}
      153:{3,5}:{(138,1),(163,1),(165,1)}
      154:{2,4,5}:{(139,1),(143,1),(164,1),(166,1),(167,1),(169,1),(183,1)}
      155:{2,5,6}:{(140,1),(143,1),(164,1),(168,1)}
      156:{1,3,4}:{(141,1),(142,1),(146,1),(165,1),(169,1)}
      157:{2,3,5}:{(142,1),(143,1),(144,1),(169,1),(170,1),(173,1),(183,1),(185,1),(189,1)}
      158:{1,5}:{(143,1),(145,1)}
      159:{1,3,6}:{(144,1),(145,1),(170,1),(171,1)}
      160:{2,3,4}:{(146,1),(147,1),(169,1),(172,1),(189,1)}
      161:{1,3,5}:{(147,1),(148,1),(149,1),(172,1),(173,1)}
      162:{2,6}:{(149,1),(173,1)}
      163:{3,6}:{(150,1),(153,1)}
      164:{2,4,6}:{(151,1),(154,1),(155,1),(174,1),(175,1),(186,1)}
      165:{3,4}:{(152,1),(153,1)}
      166:{2,3,5}:{(153,1),(154,1),(174,1),(176,1),(177,1)}
      167:{1,4,5}:{(154,1),(158,1),(175,1),(177,1),(178,1)}
      168:{1,5,6}:{(155,1),(158,1),(175,1)}
      169:{2,4}:{(156,1),(157,1),(178,1)}
      170:{1,3,5}:{(157,1),(158,1),(159,1),(178,1),(179,1),(188,1)}
      171:{1,2,6}:{(159,1),(162,1),(179,1),(186,1)}
      172:{1,3,4}:{(160,1),(161,1),(178,1),(180,1),(188,1)}
      173:{2,5}:{(161,1),(162,1),(180,1)}
      174:{2,3,6}:{(163,1),(164,1),(166,1),(181,1)}
      175:{1,4,6}:{(164,1),(167,1),(168,1),(181,1)}
      176:{2,3,4}:{(165,1),(166,1),(169,1),(182,1),(185,1)}
      177:{1,3,5}:{(166,1),(167,1),(181,1),(182,1),(183,1)}
      178:{1,4}:{(169,1),(170,1)}
      179:{1,2,5}:{(170,1),(171,1),(173,1),(183,1),(184,1)}
      180:{2,4}:{(172,1),(173,1),(185,1)}
      181:{1,3,6}:{(174,1),(175,1),(177,1),(186,1)}
      182:{1,3,4}:{(176,1),(177,1),(178,1),(187,1),(188,1)}
      183:{2,5}:{(177,1),(186,1),(187,1)}
      184:{1,2,4}:{(178,1),(179,1),(180,1),(187,1),(188,1)}
      185:{2,3}:{(180,1),(188,1)}
      186:{2,6}:{(181,1),(183,1)}
      187:{2,4}:{(182,1),(183,1),(189,1)}
      188:{1,3}:{(184,1),(185,1),(189,1)}
      189:{2,3}:{(187,1),(188,1)}

320 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(42,1)}
       1:{1,3,4,5}:{(0,1),(3,1),(4,1),(11,1),(40,1),(41,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(26,1),(39,1)}
       3:{2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,3,4,6}:{(1,1),(2,1),(8,1),(9,1),(20,1),(35,1),(37,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(10,1)}
       6:{1,2,4,5}:{(3,1),(11,1),(12,1),(25,1),(38,1),(40,1)}
       7:{2,3,5}:{(3,1),(11,1),(13,1),(14,1)}
       8:{2,4,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(15,1),(16,1),(31,1)}
      10:{2,4,5,6}:{(5,1),(16,1),(17,1),(39,1)}
      11:{1,3,5}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
      12:{1,2,4,6}:{(6,1),(8,1),(20,1),(21,1),(32,1),(35,1)}
      13:{2,3,4}:{(7,1),(19,1)}
      14:{2,3,6}:{(7,1),(8,1),(20,1)}
      15:{2,5,6}:{(8,1),(9,1)}
      16:{1,4,5,6}:{(9,1),(10,1),(24,1),(35,1)}
      17:{3,4,5,6}:{(10,1),(43,1)}
      18:{2,3,5}:{(11,1),(25,1),(26,1),(38,1)}
      19:{1,3,4}:{(11,1),(13,1),(25,1)}
      20:{1,3,6}:{(11,1),(12,1),(14,1),(26,1)}
      21:{1,2,5,6}:{(12,1),(15,1),(28,1),(38,1)}
      22:{2,3,4,6}:{(13,1),(14,1),(27,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(14,1),(15,1),(28,1),(29,1),(30,1),(31,1)}
      24:{2,4,5,6}:{(15,1),(16,1),(30,1),(31,1)}
      25:{2,4}:{(18,1),(19,1)}
      26:{2,3,6}:{(18,1),(20,1),(32,1)}
      27:{1,3,4,6}:{(19,1),(20,1),(22,1),(32,1),(34,1),(35,1),(43,1)}
      28:{1,3,5,6}:{(20,1),(21,1),(23,1),(33,1),(34,1),(35,1)}
      29:{2,3,5}:{(22,1),(34,1),(36,1)}
      30:{2,4,6}:{(23,1),(35,1),(36,1),(37,1)}
      31:{3,5,6}:{(24,1),(37,1)}
      32:{2,4,6}:{(25,1),(26,1),(27,1),(38,1)}
      33:{2,3,5,6}:{(26,1),(28,1),(38,1),(39,1),(44,1)}
      34:{1,3,5}:{(27,1),(29,1),(38,1),(40,1),(44,1)}
      35:{1,4,6}:{(28,1),(30,1),(39,1),(40,1)}
      36:{2,4,5}:{(29,1),(30,1),(40,1),(41,1)}
      37:{3,4,6}:{(30,1),(31,1),(41,1)}
      38:{2,5}:{(32,1),(34,1)}
      39:{2,4,6}:{(33,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(34,1),(35,1),(36,1),(42,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,4,6}:{(39,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

321 :   0:{2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(77,1),(120,1)}
        1:{2,3,4,6}:{(5,1),(6,1),(18,1),(41,1),(46,1),(47,1),(85,1),(119,1),(122,1)}
        2:{1,4,5,6}:{(0,1),(7,1),(8,1),(28,1),(29,1),(57,1),(102,1)}
        3:{3,5,6}:{(0,1),(9,1),(97,1),(138,1)}
        4:{3,4,5}:{(9,1),(12,1),(107,1),(138,1)}
        5:{2,3,5}:{(1,1),(12,1),(13,1),(138,1),(141,1)}
        6:{1,3,4,6}:{(1,1),(13,1),(14,1),(29,1),(34,1),(59,1),(62,1),(64,1),(69,1),(71,1),(140,1)}
        7:{2,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(44,1),(83,1)}
        8:{1,3,5,6}:{(2,1),(3,1),(15,1),(16,1),(17,1),(123,1)}
        9:{3,4,6}:{(3,1),(4,1),(18,1)}
       10:{2,3,5,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(41,1)}
       11:{1,3,4,5}:{(4,1),(16,1),(20,1),(22,1),(38,1),(48,1),(52,1),(75,1),(89,1),(116,1),(123,1)}
       12:{2,4,5}:{(4,1),(5,1),(18,1),(22,1),(85,1)}
       13:{1,3,5}:{(5,1),(6,1),(22,1),(23,1),(52,1),(156,1)}
       14:{2,4,6}:{(6,1),(23,1),(24,1),(53,1),(79,1),(84,1)}
       15:{3,5,6}:{(7,1),(25,1),(62,1),(103,1)}
       16:{1,3,4,6}:{(8,1),(9,1),(11,1),(25,1),(27,1),(29,1),(57,1),(59,1),(62,1),(97,1)}
       17:{2,5,6}:{(8,1),(27,1),(28,1),(141,1)}
       18:{2,4,6}:{(9,1),(10,1),(12,1),(29,1)}
       19:{1,3,5,6}:{(10,1),(13,1),(28,1),(29,1),(30,1),(59,1),(62,1)}
       20:{2,4,5}:{(11,1),(27,1),(31,1),(32,1),(67,1),(111,1),(141,1)}
       21:{1,2,4,6}:{(14,1),(33,1),(34,1),(66,1),(69,1),(99,1),(105,1),(140,1)}
       22:{1,4,5}:{(12,1),(13,1),(29,1),(35,1),(69,1)}
       23:{2,5}:{(13,1),(14,1)}
       24:{2,3,6}:{(14,1),(34,1),(36,1),(62,1),(106,1)}
       25:{3,4,6}:{(15,1),(38,1),(39,1)}
       26:{2,3,5,6}:{(15,1),(17,1),(39,1),(40,1),(41,1),(74,1)}
       27:{2,4,6}:{(16,1),(17,1),(20,1),(41,1),(42,1),(79,1)}
       28:{1,5,6}:{(17,1),(42,1),(156,1)}
       29:{1,4,6}:{(18,1),(19,1),(22,1),(44,1)}
       30:{2,5,6}:{(19,1),(23,1),(44,1),(79,1)}
       31:{2,3,5}:{(20,1),(41,1),(46,1),(48,1),(52,1),(116,1)}
       32:{1,4,5}:{(20,1),(42,1),(48,1),(130,1),(156,1)}
       33:{1,2,5}:{(21,1),(23,1),(50,1),(86,1),(156,1)}
       34:{1,3,6}:{(21,1),(24,1),(47,1),(50,1),(126,1)}
       35:{2,4,5}:{(22,1),(23,1),(44,1),(52,1),(53,1)}
       36:{2,3,5}:{(23,1),(24,1),(50,1),(52,1),(53,1)}
       37:{2,3,4,6}:{(24,1),(51,1),(53,1),(54,1),(82,1),(93,1),(122,1),(127,1),(160,1)}
       38:{3,4,5}:{(25,1),(55,1),(103,1),(178,1)}
       39:{2,4,6}:{(25,1),(26,1),(55,1),(57,1)}
       40:{1,3,5,6}:{(26,1),(28,1),(57,1),(58,1),(59,1),(94,1),(97,1)}
       41:{2,3,6}:{(27,1),(31,1),(59,1),(62,1),(97,1)}
       42:{1,4,6}:{(27,1),(28,1),(32,1),(59,1)}
       43:{1,2,5,6}:{(28,1),(30,1),(33,1),(58,1),(60,1),(61,1),(99,1),(109,1),(133,1),(141,1),(169,1),(181,1)}
       44:{2,4,6}:{(29,1),(30,1),(35,1),(62,1)}
       45:{2,3,5,6}:{(30,1),(36,1),(61,1),(62,1),(63,1),(100,1),(103,1),(141,1),(162,1),(181,1),(184,1)}
       46:{2,3,4}:{(31,1),(64,1),(71,1),(111,1),(135,1),(143,1)}
       47:{2,3,6}:{(34,1),(65,1),(66,1),(143,1),(146,1)}
       48:{1,3,5}:{(31,1),(32,1),(59,1),(64,1),(67,1)}
       49:{1,2,4,5}:{(32,1),(33,1),(35,1),(60,1),(67,1),(68,1),(69,1),(95,1),(102,1),(105,1),(108,1),(111,1),(133,1),(141,1),(147,1),(163,1),(170,1),(179,1)}
       50:{1,3,5}:{(33,1),(34,1),(36,1),(65,1),(69,1)}
       51:{1,3,4,6}:{(34,1),(37,1),(66,1),(69,1),(70,1),(107,1),(113,1),(140,1),(144,1),(146,1),(171,1)}
       52:{3,5}:{(35,1),(62,1),(71,1)}
       53:{2,4}:{(36,1),(69,1),(71,1)}
       54:{2,3,5}:{(37,1),(70,1),(72,1),(103,1),(141,1)}
       55:{2,4,5}:{(38,1),(39,1),(74,1),(75,1),(172,1)}
       56:{2,3,4,6}:{(39,1),(41,1),(46,1),(74,1),(76,1),(82,1),(122,1),(152,1),(172,1)}
       57:{1,4,6}:{(39,1),(40,1),(75,1),(77,1)}
       58:{2,5,6}:{(40,1),(77,1),(79,1),(115,1)}
       59:{1,3,6}:{(41,1),(42,1),(48,1),(79,1)}
       60:{1,2,4,6}:{(42,1),(43,1),(44,1),(49,1),(77,1),(79,1),(80,1),(81,1),(122,1),(129,1),(161,1),(177,1),(183,1)}
       61:{1,3,5,6}:{(43,1),(45,1),(50,1),(78,1),(80,1),(81,1),(121,1),(123,1),(149,1),(156,1)}
       62:{3,6}:{(44,1),(52,1)}
       63:{2,4,6}:{(45,1),(53,1),(81,1),(82,1),(83,1),(172,1)}
       64:{1,3,4}:{(46,1),(48,1),(84,1),(126,1),(130,1)}
       65:{2,3,5}:{(47,1),(50,1),(85,1),(86,1),(128,1)}
       66:{2,4,6}:{(47,1),(51,1),(85,1),(86,1),(158,1),(177,1)}
       67:{2,5}:{(48,1),(79,1),(84,1)}
       68:{1,3,5}:{(49,1),(52,1),(80,1),(88,1),(89,1),(116,1),(126,1),(128,1),(182,1)}
       69:{1,4}:{(50,1),(53,1),(85,1)}
       70:{1,3,5}:{(51,1),(54,1),(86,1),(90,1),(128,1),(156,1)}
       71:{3,4}:{(52,1),(53,1)}
       72:{2,4,5}:{(53,1),(54,1),(90,1),(92,1),(93,1)}
       73:{2,3,5,6}:{(54,1),(91,1),(93,1),(125,1),(157,1),(160,1)}
       74:{2,3,5}:{(55,1),(56,1),(94,1),(103,1),(141,1)}
       75:{1,4,5}:{(55,1),(57,1),(94,1),(95,1),(163,1)}
       76:{1,3,4,6}:{(56,1),(57,1),(59,1),(64,1),(94,1),(96,1),(97,1),(135,1),(136,1),(140,1),(163,1)}
       77:{2,4,6}:{(57,1),(58,1),(95,1),(97,1)}
       78:{2,3,5,6}:{(58,1),(61,1),(65,1),(97,1),(98,1),(100,1),(109,1),(134,1),(138,1),(141,1),(146,1)}
       79:{2,6}:{(59,1),(67,1)}
       80:{1,3,6}:{(60,1),(62,1),(68,1),(97,1),(100,1),(146,1),(184,1)}
       81:{1,4,6}:{(61,1),(63,1),(69,1),(98,1),(102,1),(163,1)}
       82:{3,4,6}:{(62,1),(63,1),(71,1),(103,1),(178,1),(184,1)}
       83:{2,4,5}:{(63,1),(102,1),(103,1),(141,1)}
       84:{2,4}:{(64,1),(67,1),(106,1)}
       85:{2,4}:{(65,1),(69,1),(107,1)}
       86:{2,5}:{(66,1),(70,1)}
       87:{1,2,5}:{(67,1),(99,1),(105,1),(110,1),(170,1)}
       88:{2,3,5}:{(67,1),(68,1),(100,1),(106,1),(110,1),(111,1),(141,1),(143,1),(170,1)}
       89:{1,3,4}:{(68,1),(69,1),(71,1),(107,1),(111,1),(135,1),(163,1),(178,1)}
       90:{1,4,5}:{(69,1),(70,1),(72,1),(108,1),(113,1)}
       91:{1,3,5,6}:{(70,1),(73,1),(109,1),(113,1),(146,1),(169,1),(171,1)}
       92:{3,4,5}:{(71,1),(72,1),(103,1),(114,1)}
       93:{2,4,6}:{(72,1),(73,1),(113,1),(114,1)}
       94:{1,3,5}:{(74,1),(75,1),(76,1),(115,1),(116,1),(156,1)}
       95:{2,4,5}:{(75,1),(77,1),(115,1),(116,1),(150,1)}
       96:{2,4,6}:{(76,1),(79,1),(84,1),(115,1),(118,1),(150,1)}
       97:{3,6}:{(77,1),(116,1)}
       98:{2,4,6}:{(78,1),(81,1),(85,1),(119,1),(120,1),(150,1)}
       99:{1,2,6}:{(79,1),(87,1),(121,1),(177,1)}
      100:{2,3,6}:{(79,1),(80,1),(88,1),(121,1),(122,1),(177,1)}
      101:{1,3,4,6}:{(80,1),(81,1),(82,1),(89,1),(119,1),(122,1),(123,1)}
      102:{1,4,5}:{(81,1),(83,1),(120,1),(123,1),(156,1)}
      103:{3,5}:{(82,1),(83,1)}
      104:{2,4,5,6}:{(83,1),(93,1),(124,1),(125,1),(157,1),(183,1)}
      105:{1,2,4}:{(84,1),(87,1),(126,1),(130,1),(158,1)}
      106:{2,3}:{(84,1),(126,1)}
      107:{3,4}:{(85,1),(128,1)}
      108:{2,4,5}:{(85,1),(86,1),(90,1),(128,1),(129,1)}
      109:{2,5,6}:{(86,1),(91,1),(129,1),(177,1)}
      110:{1,3,5}:{(87,1),(88,1),(121,1),(126,1),(130,1),(156,1)}
      111:{2,4}:{(88,1),(89,1),(130,1)}
      112:{1,3,4,5}:{(89,1),(90,1),(92,1),(123,1),(128,1),(131,1),(132,1),(151,1),(159,1),(173,1),(182,1)}
      113:{1,4,6}:{(90,1),(91,1),(93,1),(129,1)}
      114:{3,4,6}:{(92,1),(93,1),(125,1)}
      115:{2,5}:{(94,1),(96,1)}
      116:{3,5}:{(95,1),(97,1),(135,1)}
      117:{1,2,4,6}:{(96,1),(99,1),(105,1),(133,1),(136,1),(140,1),(163,1),(166,1)}
      118:{2,3,6}:{(96,1),(97,1),(106,1),(134,1),(136,1)}
      119:{3,4,6}:{(97,1),(98,1),(107,1),(135,1),(138,1),(146,1)}
      120:{2,4,5}:{(98,1),(102,1),(138,1),(141,1)}
      121:{1,3,6}:{(99,1),(100,1),(110,1),(140,1)}
      122:{2,4,6}:{(100,1),(101,1),(111,1),(140,1),(141,1)}
      123:{1,3,5}:{(101,1),(102,1),(103,1),(138,1),(141,1)}
      124:{1,4,5,6}:{(102,1),(104,1),(113,1),(139,1),(142,1),(169,1),(180,1)}
      125:{3,5,6}:{(103,1),(104,1),(114,1),(184,1)}
      126:{1,3}:{(105,1),(106,1),(143,1)}
      127:{2,3,4}:{(106,1),(107,1),(111,1),(144,1),(145,1),(178,1)}
      128:{3,5}:{(107,1),(108,1),(146,1)}
      129:{2,4,6}:{(108,1),(109,1),(113,1),(146,1)}
      130:{1,4}:{(110,1),(111,1)}
      131:{2,4,5}:{(111,1),(112,1),(141,1),(145,1),(147,1),(148,1),(170,1)}
      132:{1,3,4,6}:{(112,1),(113,1),(114,1),(142,1),(146,1),(148,1),(165,1),(171,1),(180,1),(184,1)}
      133:{1,2,5}:{(115,1),(117,1),(149,1),(156,1),(175,1)}
      134:{2,3,5}:{(115,1),(116,1),(118,1),(149,1),(150,1)}
      135:{3,4}:{(116,1),(150,1)}
      136:{1,3,6}:{(117,1),(118,1),(126,1),(149,1),(152,1)}
      137:{2,3,4,6}:{(118,1),(119,1),(122,1),(127,1),(150,1),(153,1),(154,1),(160,1),(174,1)}
      138:{3,5}:{(119,1),(120,1)}
      139:{2,4,5,6}:{(120,1),(124,1),(129,1),(155,1),(157,1),(174,1)}
      140:{1,4,6}:{(121,1),(122,1),(130,1),(156,1)}
      141:{2,5}:{(122,1),(123,1),(156,1)}
      142:{1,3,5,6}:{(123,1),(124,1),(125,1),(132,1),(155,1),(157,1)}
      143:{2,3}:{(126,1),(158,1)}
      144:{1,3,4}:{(126,1),(127,1),(130,1),(158,1),(159,1)}
      145:{2,3,5}:{(127,1),(128,1),(131,1),(159,1),(160,1),(182,1)}
      146:{3,6}:{(128,1),(129,1)}
      147:{1,4,5}:{(130,1),(131,1),(156,1),(159,1),(161,1)}
      148:{2,4,6}:{(131,1),(132,1),(157,1),(160,1),(161,1),(177,1)}
      149:{1,3,5}:{(133,1),(134,1),(136,1),(162,1),(163,1)}
      150:{2,4}:{(134,1),(135,1),(163,1)}
      151:{3,4,5}:{(135,1),(138,1),(164,1),(165,1)}
      152:{2,3,6}:{(136,1),(143,1),(162,1),(166,1),(184,1)}
      153:{1,3,4,6}:{(136,1),(137,1),(140,1),(144,1),(163,1),(166,1),(167,1),(171,1),(178,1),(180,1),(184,1)}
      154:{2,3,5}:{(137,1),(138,1),(141,1),(164,1),(167,1)}
      155:{3,5,6}:{(138,1),(139,1),(146,1),(165,1)}
      156:{1,5}:{(140,1),(141,1)}
      157:{2,5,6}:{(141,1),(142,1),(148,1),(169,1)}
      158:{2,4}:{(143,1),(144,1),(170,1)}
      159:{1,3,5}:{(144,1),(145,1),(147,1),(170,1),(171,1)}
      160:{2,3,6}:{(145,1),(146,1),(148,1),(171,1),(184,1)}
      161:{1,4,6}:{(147,1),(148,1),(169,1),(171,1)}
      162:{2,3,5}:{(149,1),(152,1),(172,1),(175,1),(182,1)}
      163:{1,4}:{(149,1),(150,1),(172,1)}
      164:{2,4,5}:{(150,1),(151,1),(154,1),(173,1),(174,1)}
      165:{3,4,6}:{(151,1),(155,1),(174,1)}
      166:{2,4,6}:{(152,1),(153,1),(158,1),(172,1),(175,1),(177,1)}
      167:{1,3,5}:{(153,1),(154,1),(156,1),(173,1),(175,1),(182,1)}
      168:{2,3,5,6}:{(154,1),(155,1),(157,1),(160,1),(174,1),(176,1)}
      169:{1,5,6}:{(156,1),(157,1),(161,1)}
      170:{2,5}:{(158,1),(159,1),(177,1)}
      171:{1,3,6}:{(159,1),(160,1),(161,1),(177,1)}
      172:{2,4}:{(162,1),(163,1),(178,1)}
      173:{1,4,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
      174:{2,4,6}:{(164,1),(165,1),(168,1),(180,1)}
      175:{2,5}:{(166,1),(167,1)}
      176:{1,3,5,6}:{(167,1),(168,1),(169,1),(171,1),(180,1),(181,1),(184,1)}
      177:{2,6}:{(170,1),(171,1)}
      178:{3,4}:{(172,1),(182,1)}
      179:{2,4,5}:{(172,1),(173,1),(175,1),(182,1),(183,1)}
      180:{1,4,6}:{(173,1),(174,1),(176,1),(183,1)}
      181:{2,5,6}:{(175,1),(176,1),(177,1),(183,1)}
      182:{3,5}:{(178,1),(179,1),(184,1)}
      183:{2,4,6}:{(179,1),(180,1),(181,1),(184,1)}
      184:{3,6}:{(182,1),(183,1)}

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

323 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

324 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(12,1),(17,1),(25,1),(26,1),(33,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(17,1)}
       2:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(18,1),(20,1),(29,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(22,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1),(11,1)}
       5:{1,4,6}:{(1,1),(9,1),(11,1),(32,1)}
       6:{2,3,6}:{(2,1),(12,1),(13,1),(17,1),(28,1),(33,1)}
       7:{1,4,6}:{(2,1),(12,1),(14,1),(25,1)}
       8:{2,5}:{(2,1),(3,1),(14,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(25,1),(35,1)}
      10:{1,5,6}:{(4,1),(14,1),(16,1)}
      11:{2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(28,1)}
      12:{1,3,6}:{(6,1),(7,1),(18,1),(19,1),(32,1)}
      13:{2,3,5}:{(6,1),(8,1),(19,1),(20,1),(22,1),(31,1),(36,1)}
      14:{1,5}:{(7,1),(8,1)}
      15:{2,4,5}:{(8,1),(9,1),(11,1),(20,1),(21,1),(22,1),(29,1),(31,1)}
      16:{1,4,6}:{(10,1),(11,1),(21,1),(23,1)}
      17:{3,6}:{(11,1),(22,1)}
      18:{2,6}:{(12,1),(24,1)}
      19:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1),(33,1),(35,1),(38,1)}
      20:{2,4}:{(13,1),(25,1),(26,1)}
      21:{1,4,5}:{(14,1),(15,1),(16,1),(25,1),(27,1)}
      22:{3,5}:{(15,1),(17,1),(26,1),(33,1)}
      23:{1,3,6}:{(16,1),(17,1),(27,1),(28,1)}
      24:{2,5}:{(18,1),(19,1),(29,1),(39,1)}
      25:{1,4}:{(19,1),(20,1),(29,1)}
      26:{3,4}:{(20,1),(22,1)}
      27:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1)}
      28:{2,6}:{(23,1),(31,1),(32,1)}
      29:{2,4}:{(24,1),(25,1),(33,1)}
      30:{1,3,4}:{(25,1),(26,1),(27,1),(33,1),(34,1),(38,1)}
      31:{2,5}:{(27,1),(28,1),(34,1),(35,1)}
      32:{1,6}:{(28,1),(35,1)}
      33:{3}:{(29,1)}
      34:{2,4}:{(30,1),(31,1),(36,1),(37,1),(39,1)}
      35:{1,5}:{(31,1),(32,1),(37,1)}
      36:{2,3}:{(33,1),(34,1),(38,1)}
      37:{1,4}:{(34,1),(35,1),(38,1)}
      38:{1,3}:{(36,1),(37,1),(39,1)}
      39:{2}:{(38,1)}

325 :  0:{1,3,4,5,6}:{(1,1),(5,1),(15,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(9,1),(20,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,4,5,6}:{(1,1),(5,1),(26,1)}
       4:{2,3,4,6}:{(2,1),(7,1),(8,1),(20,1),(30,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,4,5,6}:{(3,1),(9,1),(10,1),(17,1),(20,1),(33,1),(39,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(27,1),(34,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(11,1),(12,1),(24,1),(26,1)}
       9:{2,5,6}:{(5,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(14,1),(15,1),(24,1),(37,1)}
      11:{1,3,4,5}:{(7,1),(8,1),(16,1),(28,1),(33,1)}
      12:{2,4,6}:{(8,1),(9,1),(16,1),(18,1)}
      13:{1,2,5,6}:{(9,1),(17,1),(19,1),(39,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(18,1),(19,1),(20,1),(30,1),(32,1),(39,1)}
      15:{1,3,4,6}:{(10,1),(20,1),(21,1)}
      16:{2,4,5}:{(11,1),(12,1),(23,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(22,1),(24,1),(26,1),(36,1)}
      18:{2,3,6}:{(12,1),(23,1),(24,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(24,1),(26,1),(37,1)}
      20:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(37,1)}
      22:{1,2,4,5}:{(16,1),(17,1),(28,1),(33,1),(38,1),(39,1)}
      23:{2,3,5}:{(16,1),(18,1),(28,1),(29,1)}
      24:{1,3,6}:{(17,1),(18,1),(28,1),(30,1)}
      25:{2,3,4,6}:{(18,1),(20,1),(29,1),(31,1),(32,1)}
      26:{1,4,6}:{(19,1),(20,1),(33,1)}
      27:{2,4,5}:{(20,1),(21,1),(32,1),(33,1),(39,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(34,1),(35,1)}
      29:{2,3,4}:{(23,1),(35,1)}
      30:{2,3,6}:{(24,1),(34,1),(36,1)}
      31:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(36,1),(37,1)}
      32:{2,3,5}:{(25,1),(27,1),(37,1)}
      33:{1,4,5}:{(26,1),(27,1),(37,1)}
      34:{2,3,5}:{(28,1),(30,1),(38,1),(39,1)}
      35:{1,3,4}:{(28,1),(29,1),(38,1)}
      36:{2,4,6}:{(30,1),(31,1),(38,1),(39,1)}
      37:{1,3,5}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,4}:{(34,1),(35,1)}
      39:{2,5}:{(36,1),(37,1)}

326 :   0:{1,2,5,6}:{(2,1),(3,1),(44,1),(75,1),(85,1),(117,1),(123,1)}
        1:{1,2,4,5}:{(3,1),(4,1),(14,1),(18,1),(44,1),(48,1),(76,1),(83,1),(117,1),(122,1),(154,1)}
        2:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(27,1),(55,1),(96,1),(137,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(28,1),(66,1),(105,1),(140,1)}
        4:{1,3,5}:{(1,1),(8,1),(9,1),(10,1),(99,1),(141,1)}
        5:{1,2,5,6}:{(11,1),(12,1),(46,1),(73,1),(86,1),(116,1),(123,1)}
        6:{2,3,5,6}:{(2,1),(11,1),(13,1),(16,1),(37,1),(39,1),(44,1),(73,1),(123,1),(124,1),(156,1)}
        7:{1,4,6}:{(2,1),(13,1),(14,1),(154,1)}
        8:{1,3,6}:{(3,1),(4,1),(16,1),(156,1)}
        9:{1,3,4}:{(4,1),(18,1),(154,1),(157,1)}
       10:{2,3,5}:{(4,1),(16,1),(18,1),(19,1),(44,1),(83,1),(84,1)}
       11:{1,3,5,6}:{(5,1),(6,1),(21,1),(22,1),(29,1),(53,1),(64,1),(108,1)}
       12:{1,2,4,6}:{(5,1),(20,1),(21,1),(22,1),(54,1),(133,1),(140,1),(163,1)}
       13:{2,4,6}:{(6,1),(7,1),(21,1),(23,1),(24,1),(143,1)}
       14:{1,4,5}:{(7,1),(23,1),(27,1),(96,1)}
       15:{1,3,4,6}:{(7,1),(8,1),(9,1),(24,1),(27,1),(28,1)}
       16:{2,3,6}:{(8,1),(10,1),(28,1),(29,1),(105,1)}
       17:{1,3,4,5}:{(9,1),(27,1),(30,1),(31,1),(56,1),(61,1),(101,1),(110,1),(141,1),(146,1)}
       18:{2,4}:{(9,1),(10,1),(32,1)}
       19:{1,3,5}:{(10,1),(29,1),(32,1),(33,1),(64,1),(68,1)}
       20:{1,2,4,5}:{(12,1),(34,1),(35,1),(70,1),(73,1),(86,1),(114,1),(122,1),(128,1),(147,1),(149,1)}
       21:{1,4,6}:{(11,1),(13,1),(35,1),(128,1)}
       22:{1,3,6}:{(12,1),(34,1),(37,1),(156,1)}
       23:{2,4,5}:{(13,1),(14,1),(35,1),(39,1),(44,1),(73,1)}
       24:{3,4,6}:{(13,1),(39,1),(156,1),(157,1)}
       25:{2,3,4}:{(18,1),(41,1),(42,1),(84,1),(126,1),(157,1)}
       26:{1,4,5,6}:{(14,1),(38,1),(43,1),(116,1),(121,1),(160,1)}
       27:{1,3,5}:{(14,1),(15,1),(39,1),(44,1)}
       28:{2,4,6}:{(15,1),(16,1),(18,1),(44,1),(45,1)}
       29:{1,3,6}:{(16,1),(19,1),(45,1),(46,1)}
       30:{1,3,4,6}:{(17,1),(43,1),(47,1),(77,1),(82,1),(121,1),(156,1)}
       31:{2,4,5}:{(17,1),(18,1),(41,1),(44,1),(47,1),(48,1),(83,1),(126,1),(159,1)}
       32:{1,4}:{(18,1),(19,1)}
       33:{1,2,5}:{(19,1),(46,1),(49,1),(83,1)}
       34:{1,3,5}:{(20,1),(22,1),(50,1),(51,1),(141,1),(162,1)}
       35:{1,4,5}:{(21,1),(23,1),(53,1),(64,1)}
       36:{1,3,4,6}:{(21,1),(22,1),(24,1),(50,1),(53,1),(54,1)}
       37:{2,3,6}:{(22,1),(51,1),(54,1),(55,1),(163,1)}
       38:{2,4,5,6}:{(23,1),(26,1),(52,1),(57,1),(63,1),(95,1),(100,1),(140,1),(170,1)}
       39:{3,5}:{(23,1),(24,1)}
       40:{2,3,4,6}:{(24,1),(25,1),(28,1),(54,1),(58,1),(59,1),(60,1),(90,1),(100,1),(104,1),(130,1),(143,1),(144,1),(169,1),(180,1)}
       41:{2,3,5}:{(25,1),(31,1),(60,1),(61,1),(141,1)}
       42:{1,3,4}:{(25,1),(32,1),(61,1),(62,1),(68,1),(99,1),(139,1)}
       43:{1,3,5,6}:{(26,1),(27,1),(30,1),(57,1),(63,1),(146,1)}
       44:{2,5}:{(27,1),(28,1),(64,1)}
       45:{1,4,6}:{(28,1),(29,1),(32,1),(64,1)}
       46:{1,2,6}:{(29,1),(33,1),(105,1)}
       47:{2,4,6}:{(30,1),(31,1),(60,1),(63,1),(66,1),(105,1)}
       48:{1,4,5}:{(31,1),(32,1),(61,1),(64,1),(66,1),(139,1),(168,1)}
       49:{1,2,4}:{(32,1),(33,1),(62,1),(68,1)}
       50:{1,3,4}:{(34,1),(70,1),(128,1),(157,1)}
       51:{2,3,5}:{(34,1),(37,1),(70,1),(71,1),(73,1),(149,1),(150,1)}
       52:{1,4,5,6}:{(35,1),(38,1),(72,1),(85,1),(121,1),(176,1)}
       53:{1,3,5}:{(35,1),(36,1),(39,1),(73,1)}
       54:{2,4,6}:{(36,1),(37,1),(70,1),(73,1),(74,1)}
       55:{1,3,6}:{(37,1),(71,1),(74,1),(75,1)}
       56:{3,4,5}:{(39,1),(77,1),(78,1),(157,1),(177,1)}
       57:{3,5,6}:{(38,1),(39,1),(77,1),(156,1),(177,1)}
       58:{2,3,5}:{(39,1),(40,1),(44,1),(73,1),(78,1),(80,1),(159,1),(177,1),(183,1)}
       59:{1,3,4,6}:{(40,1),(42,1),(45,1),(74,1),(80,1),(81,1),(82,1),(87,1),(112,1),(118,1),(121,1),(128,1),(148,1),(154,1),(155,1),(156,1),(157,1),(182,1)}
       60:{2,3,6}:{(41,1),(47,1),(82,1),(156,1)}
       61:{1,3,5}:{(41,1),(42,1),(48,1),(82,1),(83,1)}
       62:{2,4}:{(42,1),(83,1),(84,1)}
       63:{2,5,6}:{(43,1),(44,1),(47,1),(85,1),(159,1)}
       64:{1,5}:{(44,1),(45,1)}
       65:{1,2,4,6}:{(45,1),(46,1),(49,1),(81,1),(86,1),(87,1),(128,1),(147,1),(171,1),(182,1)}
       66:{1,4,6}:{(47,1),(48,1),(82,1),(85,1)}
       67:{1,2,4,5}:{(48,1),(49,1),(83,1),(86,1),(88,1),(89,1),(122,1),(126,1),(128,1),(159,1),(160,1)}
       68:{1,3}:{(49,1),(84,1)}
       69:{1,3,4,5}:{(50,1),(53,1),(56,1),(91,1),(92,1),(101,1),(131,1),(141,1),(166,1),(181,1)}
       70:{2,4}:{(50,1),(51,1),(93,1)}
       71:{1,3,5}:{(51,1),(55,1),(93,1),(94,1),(96,1),(135,1)}
       72:{1,3,5,6}:{(52,1),(53,1),(57,1),(91,1),(95,1),(181,1)}
       73:{2,5}:{(53,1),(54,1),(96,1)}
       74:{1,4,6}:{(54,1),(55,1),(93,1),(96,1)}
       75:{1,2,6}:{(55,1),(94,1),(163,1)}
       76:{1,2,4}:{(62,1),(98,1),(99,1),(139,1)}
       77:{3,4,6}:{(56,1),(57,1),(100,1)}
       78:{2,4,5}:{(56,1),(58,1),(100,1),(101,1),(143,1)}
       79:{2,3,5,6}:{(57,1),(58,1),(60,1),(63,1),(95,1),(100,1),(102,1),(130,1)}
       80:{1,3,5}:{(58,1),(59,1),(64,1),(96,1),(101,1),(103,1),(141,1),(168,1),(184,1)}
       81:{2,4,6}:{(59,1),(62,1),(103,1),(104,1),(105,1),(132,1),(143,1),(163,1)}
       82:{1,3,6}:{(60,1),(61,1),(66,1),(105,1)}
       83:{2,5}:{(61,1),(62,1),(105,1)}
       84:{2,3}:{(62,1),(68,1),(99,1)}
       85:{1,5,6}:{(63,1),(64,1),(66,1),(168,1)}
       86:{1,2,5}:{(64,1),(65,1),(103,1),(108,1),(184,1)}
       87:{1,3,6}:{(65,1),(68,1),(104,1),(108,1),(162,1)}
       88:{1,2,4,6}:{(66,1),(67,1),(105,1),(107,1),(109,1),(140,1),(144,1),(145,1)}
       89:{1,3,5}:{(67,1),(68,1),(106,1),(109,1),(110,1),(141,1)}
       90:{2,3,4}:{(70,1),(111,1),(112,1),(150,1),(157,1),(174,1)}
       91:{1,3,4,6}:{(69,1),(72,1),(77,1),(113,1),(121,1),(148,1),(156,1)}
       92:{2,4,5}:{(69,1),(70,1),(73,1),(111,1),(113,1),(114,1),(149,1),(174,1),(183,1)}
       93:{1,4}:{(70,1),(71,1)}
       94:{1,2,5}:{(71,1),(75,1),(115,1),(149,1)}
       95:{2,5,6}:{(72,1),(73,1),(113,1),(116,1),(183,1)}
       96:{1,5}:{(73,1),(74,1)}
       97:{1,2,4,6}:{(74,1),(75,1),(76,1),(81,1),(115,1),(117,1),(118,1),(119,1),(154,1),(155,1)}
       98:{1,2,5}:{(76,1),(83,1),(119,1),(120,1)}
       99:{1,3}:{(76,1),(84,1)}
      100:{2,4,6}:{(77,1),(78,1),(79,1),(121,1)}
      101:{1,4,5}:{(78,1),(80,1),(121,1),(122,1),(128,1),(154,1)}
      102:{1,3,5,6}:{(79,1),(80,1),(82,1),(85,1),(116,1),(121,1),(123,1),(148,1),(156,1)}
      103:{2,5}:{(80,1),(81,1)}
      104:{2,3,6}:{(81,1),(84,1),(87,1),(118,1),(124,1),(150,1),(156,1)}
      105:{2,6}:{(82,1),(83,1)}
      106:{2,3,5}:{(83,1),(84,1),(89,1),(120,1),(125,1),(126,1),(159,1)}
      107:{1,2,5,6}:{(85,1),(86,1),(88,1),(123,1),(127,1),(159,1),(171,1)}
      108:{1,3,5}:{(86,1),(87,1),(124,1),(128,1)}
      109:{1,3,6}:{(88,1),(89,1),(125,1),(156,1)}
      110:{1,3,4}:{(89,1),(126,1),(128,1),(157,1)}
      111:{2,3,5}:{(90,1),(92,1),(130,1),(131,1),(141,1)}
      112:{1,3,4}:{(90,1),(93,1),(131,1),(132,1),(135,1),(162,1),(179,1)}
      113:{2,4,6}:{(91,1),(92,1),(95,1),(130,1),(133,1),(163,1)}
      114:{1,4,5}:{(92,1),(93,1),(96,1),(131,1),(133,1),(179,1),(184,1)}
      115:{1,2,4}:{(93,1),(94,1),(132,1),(135,1)}
      116:{1,5,6}:{(95,1),(96,1),(133,1),(184,1)}
      117:{1,2,5}:{(96,1),(97,1),(103,1),(137,1),(168,1)}
      118:{1,3,6}:{(97,1),(99,1),(104,1),(135,1),(137,1)}
      119:{1,2,6}:{(98,1),(105,1),(138,1)}
      120:{1,3,5}:{(98,1),(99,1),(106,1),(138,1),(139,1),(168,1)}
      121:{1,4,6}:{(100,1),(101,1),(102,1),(140,1)}
      122:{2,4,5}:{(101,1),(103,1),(140,1),(141,1),(143,1)}
      123:{2,5,6}:{(102,1),(103,1),(105,1),(140,1),(163,1)}
      124:{2,3,5}:{(103,1),(104,1),(108,1),(137,1),(141,1),(143,1)}
      125:{2,3,6}:{(105,1),(106,1),(109,1),(138,1),(144,1)}
      126:{2,4}:{(106,1),(110,1),(139,1)}
      127:{1,3,5,6}:{(107,1),(108,1),(109,1),(142,1),(145,1),(146,1),(178,1),(184,1)}
      128:{1,4}:{(108,1),(143,1)}
      129:{1,3,4,6}:{(109,1),(110,1),(144,1),(145,1),(146,1),(169,1)}
      130:{2,3,6}:{(111,1),(113,1),(148,1),(156,1)}
      131:{1,3,5}:{(111,1),(112,1),(114,1),(148,1),(149,1)}
      132:{2,4}:{(112,1),(149,1),(150,1)}
      133:{1,4,6}:{(113,1),(114,1),(116,1),(148,1)}
      134:{1,2,4,5}:{(114,1),(115,1),(117,1),(122,1),(149,1),(151,1),(152,1),(154,1),(174,1),(176,1),(183,1)}
      135:{1,3}:{(115,1),(150,1)}
      136:{1,2,5,6}:{(116,1),(117,1),(119,1),(123,1),(151,1),(153,1),(183,1)}
      137:{1,3,5}:{(117,1),(118,1),(124,1),(154,1)}
      138:{1,3,6}:{(119,1),(120,1),(125,1),(155,1)}
      139:{1,4}:{(120,1),(126,1)}
      140:{2,4,6}:{(121,1),(122,1),(123,1),(156,1)}
      141:{3,5}:{(122,1),(156,1),(157,1)}
      142:{2,3,5,6}:{(123,1),(124,1),(125,1),(127,1),(153,1),(156,1),(158,1),(159,1),(173,1),(177,1),(183,1)}
      143:{2,4}:{(124,1),(128,1),(154,1),(157,1)}
      144:{2,4,6}:{(125,1),(126,1),(129,1),(155,1),(159,1)}
      145:{1,4,6}:{(127,1),(128,1),(158,1),(160,1)}
      146:{1,3,5}:{(129,1),(159,1),(160,1),(177,1)}
      147:{1,2,4}:{(132,1),(161,1),(162,1),(179,1)}
      148:{1,3,6}:{(130,1),(131,1),(133,1),(163,1)}
      149:{2,5}:{(131,1),(132,1),(163,1)}
      150:{2,3}:{(132,1),(135,1),(162,1)}
      151:{1,2,4,6}:{(133,1),(134,1),(136,1),(140,1),(163,1),(165,1),(167,1),(180,1)}
      152:{1,3,5}:{(134,1),(135,1),(141,1),(164,1),(165,1),(166,1)}
      153:{1,3,5,6}:{(136,1),(137,1),(138,1),(142,1),(165,1),(167,1),(168,1),(181,1)}
      154:{1,4}:{(137,1),(143,1)}
      155:{1,4,6}:{(138,1),(139,1),(144,1),(168,1)}
      156:{3,6}:{(140,1),(141,1)}
      157:{3,4}:{(141,1),(143,1)}
      158:{2,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1),(170,1)}
      159:{2,5}:{(144,1),(146,1),(168,1)}
      160:{1,4,5}:{(145,1),(146,1),(170,1),(184,1)}
      161:{1,2,5}:{(147,1),(149,1),(171,1),(172,1)}
      162:{1,3}:{(147,1),(150,1)}
      163:{2,6}:{(148,1),(149,1)}
      164:{2,3,5}:{(149,1),(150,1),(152,1),(172,1),(173,1),(174,1),(183,1)}
      165:{1,3,6}:{(151,1),(152,1),(156,1),(173,1)}
      166:{1,3,4}:{(152,1),(154,1),(157,1),(174,1)}
      167:{1,4,6}:{(153,1),(154,1),(158,1),(176,1)}
      168:{1,5}:{(155,1),(159,1)}
      169:{3,4,6}:{(156,1),(157,1),(158,1),(177,1)}
      170:{2,4,5}:{(158,1),(159,1),(160,1),(176,1),(177,1),(183,1)}
      171:{1,2,6}:{(161,1),(163,1),(178,1)}
      172:{1,3,5}:{(161,1),(162,1),(164,1),(178,1),(179,1),(184,1)}
      173:{2,3,6}:{(163,1),(164,1),(165,1),(178,1),(180,1)}
      174:{2,4}:{(164,1),(166,1),(179,1)}
      175:{1,3,4,6}:{(165,1),(166,1),(167,1),(169,1),(180,1),(181,1)}
      176:{1,4,5}:{(167,1),(168,1),(170,1),(181,1)}
      177:{3,5}:{(169,1),(170,1)}
      178:{1,3,6}:{(171,1),(172,1),(173,1),(182,1)}
      179:{1,4}:{(172,1),(174,1)}
      180:{2,4,6}:{(173,1),(174,1),(175,1),(182,1),(183,1)}
      181:{1,3,5}:{(175,1),(176,1),(177,1),(183,1)}
      182:{1,4,6}:{(178,1),(179,1),(180,1),(184,1)}
      183:{2,5}:{(180,1),(181,1),(184,1)}
      184:{1,5}:{(182,1),(183,1)}

327 :  0:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       1:{1,2,5}:{(0,1),(5,1),(17,1),(27,1)}
       2:{1,3,6}:{(0,1),(4,1),(5,1),(44,1)}
       3:{1,2,6}:{(7,1),(8,1),(43,1)}
       4:{2,3,6}:{(2,1),(8,1),(9,1),(10,1),(38,1),(43,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(11,1),(34,1),(42,1)}
       6:{1,3,4,6}:{(2,1),(10,1),(11,1),(12,1),(23,1),(26,1),(38,1)}
       7:{1,2,5}:{(3,1),(13,1),(14,1),(40,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(14,1),(16,1),(17,1),(28,1),(32,1),(40,1)}
      10:{2,4,6}:{(4,1),(6,1),(15,1),(16,1),(17,1)}
      11:{1,4}:{(5,1),(16,1)}
      12:{1,3,5}:{(6,1),(17,1),(18,1),(32,1)}
      13:{1,2,4}:{(7,1),(20,1),(21,1),(35,1)}
      14:{1,3,5}:{(7,1),(8,1),(9,1),(20,1),(21,1),(22,1)}
      15:{1,4,6}:{(8,1),(10,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(11,1),(21,1),(23,1)}
      17:{2,5}:{(10,1),(12,1),(22,1)}
      18:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(42,1)}
      19:{1,3,5,6}:{(12,1),(25,1),(26,1),(38,1)}
      20:{1,3}:{(13,1),(28,1)}
      21:{1,4}:{(14,1),(16,1)}
      22:{1,5}:{(15,1),(17,1)}
      23:{3,4}:{(16,1),(32,1)}
      24:{2,4,5}:{(16,1),(17,1),(18,1),(30,1),(32,1),(33,1),(40,1)}
      25:{2,5,6}:{(17,1),(19,1),(31,1),(33,1)}
      26:{1,4,6}:{(18,1),(19,1),(33,1),(44,1)}
      27:{1,2}:{(34,1)}
      28:{2,3}:{(20,1),(34,1),(35,1)}
      29:{1,3,4}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
      30:{1,4,5}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
      31:{1,5,6}:{(22,1),(25,1),(37,1)}
      32:{3,5}:{(23,1),(24,1),(38,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(37,1),(38,1),(43,1)}
      34:{1,3}:{(27,1),(28,1),(39,1)}
      35:{2,4}:{(28,1),(29,1),(39,1),(40,1)}
      36:{1,3,5}:{(29,1),(30,1),(32,1),(40,1),(41,1)}
      37:{1,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{3,6}:{(32,1),(33,1)}
      39:{1,4}:{(34,1),(35,1),(42,1)}
      40:{2,5}:{(35,1),(36,1),(42,1),(43,1)}
      41:{1,3,6}:{(36,1),(37,1),(38,1),(43,1)}
      42:{1,5}:{(39,1),(40,1),(44,1)}
      43:{2,6}:{(40,1),(41,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

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

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

330 :  0:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(22,1),(24,1),(25,1),(32,1)}
       1:{2,4,6}:{(0,1),(4,1),(5,1),(6,1),(16,1),(18,1),(28,1)}
       2:{1,3,5}:{(0,1),(6,1),(7,1),(20,1)}
       3:{1,3,5,6}:{(2,1),(8,1),(9,1),(22,1)}
       4:{2,3,6}:{(1,1),(10,1),(11,1),(22,1),(31,1),(32,1)}
       5:{1,4,6}:{(1,1),(10,1),(12,1),(24,1)}
       6:{2,5}:{(1,1),(2,1),(12,1)}
       7:{1,4,5}:{(2,1),(9,1),(13,1),(24,1),(34,1)}
       8:{2,5,6}:{(3,1),(6,1),(14,1),(15,1)}
       9:{1,4,6}:{(3,1),(7,1),(15,1),(35,1)}
      10:{1,3,6}:{(4,1),(5,1),(16,1),(17,1),(35,1)}
      11:{2,3,5}:{(4,1),(6,1),(17,1),(18,1),(20,1),(30,1),(36,1)}
      12:{1,5}:{(5,1),(6,1)}
      13:{2,4,5}:{(6,1),(7,1),(15,1),(18,1),(19,1),(20,1),(28,1),(30,1)}
      14:{1,5,6}:{(8,1),(12,1),(21,1)}
      15:{2,4,6}:{(8,1),(9,1),(13,1),(21,1),(22,1),(31,1)}
      16:{2,6}:{(10,1),(23,1)}
      17:{1,3,5}:{(10,1),(11,1),(12,1),(23,1),(24,1),(32,1),(34,1),(38,1)}
      18:{2,4}:{(11,1),(24,1),(25,1)}
      19:{1,4,5}:{(12,1),(13,1),(21,1),(24,1),(26,1)}
      20:{3,5}:{(13,1),(22,1),(25,1),(32,1)}
      21:{1,4,6}:{(14,1),(15,1),(19,1),(27,1)}
      22:{3,6}:{(15,1),(20,1)}
      23:{2,5}:{(16,1),(17,1),(28,1),(39,1)}
      24:{1,4}:{(17,1),(18,1),(28,1)}
      25:{3,4}:{(18,1),(20,1)}
      26:{1,3,5}:{(19,1),(20,1),(27,1),(29,1),(30,1)}
      27:{1,3,6}:{(21,1),(22,1),(26,1),(31,1)}
      28:{2,4}:{(23,1),(24,1),(32,1)}
      29:{1,3,4}:{(24,1),(25,1),(26,1),(32,1),(33,1),(38,1)}
      30:{2,5}:{(26,1),(31,1),(33,1),(34,1)}
      31:{2,6}:{(27,1),(30,1),(35,1)}
      32:{3}:{(28,1)}
      33:{2,4}:{(29,1),(30,1),(36,1),(37,1),(39,1)}
      34:{1,5}:{(30,1),(35,1),(37,1)}
      35:{1,6}:{(31,1),(34,1)}
      36:{2,3}:{(32,1),(33,1),(38,1)}
      37:{1,4}:{(33,1),(34,1),(38,1)}
      38:{1,3}:{(36,1),(37,1),(39,1)}
      39:{2}:{(38,1)}

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

332 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(12,1),(17,1),(25,1),(26,1),(33,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(17,1)}
       2:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(18,1),(20,1),(29,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(22,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1),(11,1)}
       5:{1,4,6}:{(1,1),(9,1),(11,1),(32,1)}
       6:{2,3,6}:{(2,1),(12,1),(13,1),(17,1),(28,1),(33,1)}
       7:{1,4,6}:{(2,1),(12,1),(14,1),(25,1)}
       8:{2,5}:{(2,1),(3,1),(14,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(25,1),(35,1)}
      10:{1,5,6}:{(4,1),(14,1),(16,1)}
      11:{2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(28,1)}
      12:{1,3,6}:{(6,1),(7,1),(18,1),(19,1),(32,1)}
      13:{2,3,5}:{(6,1),(8,1),(19,1),(20,1),(22,1),(31,1),(36,1)}
      14:{1,5}:{(7,1),(8,1)}
      15:{2,4,5}:{(8,1),(9,1),(11,1),(20,1),(21,1),(22,1),(29,1),(31,1)}
      16:{1,4,6}:{(10,1),(11,1),(21,1),(23,1)}
      17:{3,6}:{(11,1),(22,1)}
      18:{2,6}:{(12,1),(24,1)}
      19:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1),(33,1),(35,1),(38,1)}
      20:{2,4}:{(13,1),(25,1),(26,1)}
      21:{1,4,5}:{(14,1),(15,1),(16,1),(25,1),(27,1)}
      22:{3,5}:{(15,1),(17,1),(26,1),(33,1)}
      23:{1,3,6}:{(16,1),(17,1),(27,1),(28,1)}
      24:{2,5}:{(18,1),(19,1),(29,1),(39,1)}
      25:{1,4}:{(19,1),(20,1),(29,1)}
      26:{3,4}:{(20,1),(22,1)}
      27:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1)}
      28:{2,6}:{(23,1),(31,1),(32,1)}
      29:{2,4}:{(24,1),(25,1),(33,1)}
      30:{1,3,4}:{(25,1),(26,1),(27,1),(33,1),(34,1),(38,1)}
      31:{2,5}:{(27,1),(28,1),(34,1),(35,1)}
      32:{1,6}:{(28,1),(35,1)}
      33:{3}:{(29,1)}
      34:{2,4}:{(30,1),(31,1),(36,1),(37,1),(39,1)}
      35:{1,5}:{(31,1),(32,1),(37,1)}
      36:{2,3}:{(33,1),(34,1),(38,1)}
      37:{1,4}:{(34,1),(35,1),(38,1)}
      38:{1,3}:{(36,1),(37,1),(39,1)}
      39:{2}:{(38,1)}

333 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(4,1),(5,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(3,1),(5,1),(6,1)}
       3:{2,4,5}:{(2,1),(7,1),(8,1),(16,1),(28,1)}
       4:{2,5,6}:{(1,1),(9,1),(16,1),(25,1)}
       5:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       6:{3,4,6}:{(2,1),(8,1)}
       7:{1,4,5}:{(3,1),(5,1),(11,1),(12,1),(21,1),(26,1)}
       8:{3,5}:{(3,1),(6,1),(29,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1),(19,1),(22,1),(26,1),(29,1)}
      11:{2,4,5}:{(7,1),(9,1),(15,1),(16,1),(23,1)}
      12:{1,3,5}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
      13:{3,6}:{(9,1),(15,1)}
      14:{2,4,6}:{(10,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(13,1),(19,1)}
      16:{2,5}:{(12,1),(14,1),(21,1)}
      17:{2,3,6}:{(13,1),(14,1),(20,1),(22,1),(29,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,5}:{(16,1),(18,1)}
      22:{1,3,6}:{(17,1),(18,1),(24,1),(25,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(22,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

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

335 :  0:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       1:{1,2,5}:{(0,1),(5,1),(17,1),(27,1)}
       2:{1,3,6}:{(0,1),(4,1),(5,1),(44,1)}
       3:{1,2,6}:{(7,1),(8,1),(43,1)}
       4:{2,3,6}:{(2,1),(8,1),(9,1),(10,1),(38,1),(43,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(11,1),(34,1),(42,1)}
       6:{1,3,4,6}:{(2,1),(10,1),(11,1),(12,1),(23,1),(26,1),(38,1)}
       7:{1,2,5}:{(3,1),(13,1),(14,1),(40,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(14,1),(16,1),(17,1),(28,1),(32,1),(40,1)}
      10:{2,4,6}:{(4,1),(6,1),(15,1),(16,1),(17,1)}
      11:{1,4}:{(5,1),(16,1)}
      12:{1,3,5}:{(6,1),(17,1),(18,1),(32,1)}
      13:{1,2,4}:{(7,1),(20,1),(21,1),(35,1)}
      14:{1,3,5}:{(7,1),(8,1),(9,1),(20,1),(21,1),(22,1)}
      15:{1,4,6}:{(8,1),(10,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(11,1),(21,1),(23,1)}
      17:{2,5}:{(10,1),(12,1),(22,1)}
      18:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(42,1)}
      19:{1,3,5,6}:{(12,1),(25,1),(26,1),(38,1)}
      20:{1,3}:{(13,1),(28,1)}
      21:{1,4}:{(14,1),(16,1)}
      22:{1,5}:{(15,1),(17,1)}
      23:{3,4}:{(16,1),(32,1)}
      24:{2,4,5}:{(16,1),(17,1),(18,1),(30,1),(32,1),(33,1),(40,1)}
      25:{2,5,6}:{(17,1),(19,1),(31,1),(33,1)}
      26:{1,4,6}:{(18,1),(19,1),(33,1),(44,1)}
      27:{1,2}:{(34,1)}
      28:{2,3}:{(20,1),(34,1),(35,1)}
      29:{1,3,4}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
      30:{1,4,5}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
      31:{1,5,6}:{(22,1),(25,1),(37,1)}
      32:{3,5}:{(23,1),(24,1),(38,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(37,1),(38,1),(43,1)}
      34:{1,3}:{(27,1),(28,1),(39,1)}
      35:{2,4}:{(28,1),(29,1),(39,1),(40,1)}
      36:{1,3,5}:{(29,1),(30,1),(32,1),(40,1),(41,1)}
      37:{1,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{3,6}:{(32,1),(33,1)}
      39:{1,4}:{(34,1),(35,1),(42,1)}
      40:{2,5}:{(35,1),(36,1),(42,1),(43,1)}
      41:{1,3,6}:{(36,1),(37,1),(38,1),(43,1)}
      42:{1,5}:{(39,1),(40,1),(44,1)}
      43:{2,6}:{(40,1),(41,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

336 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(12,1)}
       1:{1,3,6}:{(0,1),(4,1),(6,1),(44,1)}
       2:{1,2,5}:{(0,1),(6,1),(16,1),(41,1)}
       3:{1,2,6}:{(7,1),(8,1),(42,1)}
       4:{2,3,6}:{(1,1),(7,1),(9,1),(10,1),(37,1),(42,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(25,1),(26,1),(37,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(36,1),(43,1)}
       7:{1,3,6}:{(3,1),(4,1),(13,1),(14,1)}
       8:{1,2,5}:{(3,1),(14,1),(15,1),(39,1)}
       9:{2,4,6}:{(4,1),(5,1),(13,1),(16,1),(17,1)}
      10:{2,3,5}:{(4,1),(6,1),(14,1),(16,1),(17,1),(30,1),(32,1),(39,1)}
      11:{1,3,5}:{(5,1),(16,1),(19,1),(32,1)}
      12:{1,4}:{(6,1),(17,1)}
      13:{1,4,6}:{(7,1),(9,1),(20,1),(21,1)}
      14:{1,3,5}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1)}
      15:{1,2,4}:{(8,1),(21,1),(22,1),(35,1)}
      16:{2,5}:{(9,1),(11,1),(20,1)}
      17:{2,4}:{(10,1),(12,1),(21,1),(25,1)}
      18:{1,3,5,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(43,1)}
      20:{1,5}:{(13,1),(16,1)}
      21:{1,4}:{(14,1),(17,1)}
      22:{1,3}:{(15,1),(30,1)}
      23:{2,5,6}:{(16,1),(18,1),(27,1),(31,1)}
      24:{2,4,5}:{(16,1),(17,1),(19,1),(28,1),(31,1),(32,1),(39,1)}
      25:{3,4}:{(17,1),(32,1)}
      26:{1,4,6}:{(18,1),(19,1),(31,1),(44,1)}
      27:{1,5,6}:{(20,1),(23,1),(33,1)}
      28:{1,4,5}:{(20,1),(21,1),(24,1),(33,1),(34,1)}
      29:{1,3,4}:{(21,1),(22,1),(25,1),(34,1),(35,1)}
      30:{2,3}:{(22,1),(35,1),(36,1)}
      31:{2,4,6}:{(23,1),(24,1),(26,1),(33,1),(37,1),(42,1)}
      32:{3,5}:{(24,1),(25,1),(37,1)}
      33:{1,4,6}:{(27,1),(28,1),(31,1),(38,1)}
      34:{1,3,5}:{(28,1),(29,1),(32,1),(38,1),(39,1)}
      35:{2,4}:{(29,1),(30,1),(39,1),(40,1)}
      36:{1,3}:{(30,1),(40,1),(41,1)}
      37:{3,6}:{(31,1),(32,1)}
      38:{1,3,6}:{(33,1),(34,1),(37,1),(42,1)}
      39:{2,5}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4}:{(35,1),(36,1),(43,1)}
      41:{1,2}:{(36,1)}
      42:{2,6}:{(38,1),(39,1),(44,1)}
      43:{1,5}:{(39,1),(40,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

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

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

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

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

341 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(43,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(25,1),(38,1)}
       2:{1,3,4,5}:{(0,1),(5,1),(6,1),(13,1),(40,1),(41,1)}
       3:{3,4,5,6}:{(8,1),(42,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(20,1),(34,1),(36,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,5}:{(6,1),(12,1),(13,1),(26,1),(39,1),(40,1)}
       8:{2,4,5,6}:{(3,1),(4,1),(14,1),(38,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(29,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{2,3,5}:{(6,1),(13,1),(16,1),(17,1)}
      12:{1,2,4,6}:{(7,1),(10,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,3,5}:{(7,1),(11,1),(18,1),(20,1),(21,1)}
      14:{1,4,5,6}:{(8,1),(9,1),(22,1),(34,1)}
      15:{2,5,6}:{(9,1),(10,1)}
      16:{2,3,6}:{(10,1),(11,1),(20,1)}
      17:{2,3,4}:{(11,1),(21,1)}
      18:{2,3,5}:{(13,1),(25,1),(26,1),(39,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(27,1),(39,1)}
      20:{1,3,6}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,3,4}:{(13,1),(17,1),(26,1)}
      22:{2,4,5,6}:{(14,1),(15,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(27,1),(29,1),(30,1),(31,1)}
      24:{2,3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1)}
      25:{2,3,6}:{(18,1),(20,1),(33,1)}
      26:{2,4}:{(18,1),(21,1)}
      27:{1,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1)}
      28:{1,3,4,6}:{(20,1),(21,1),(24,1),(33,1),(34,1),(35,1),(42,1)}
      29:{3,5,6}:{(22,1),(36,1)}
      30:{2,4,6}:{(23,1),(34,1),(36,1),(37,1)}
      31:{2,3,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(38,1),(39,1),(44,1)}
      33:{2,4,6}:{(25,1),(26,1),(28,1),(39,1)}
      34:{1,4,6}:{(27,1),(30,1),(38,1),(40,1)}
      35:{1,3,5}:{(28,1),(31,1),(39,1),(40,1),(44,1)}
      36:{3,4,6}:{(29,1),(30,1),(41,1)}
      37:{2,4,5}:{(30,1),(31,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(34,1),(42,1),(43,1)}
      39:{2,5}:{(33,1),(35,1)}
      40:{1,4,5}:{(34,1),(35,1),(37,1),(43,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{3,4,6}:{(38,1),(44,1)}
      43:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

342 :  0:{3,4,5,6}:{(1,1),(41,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(36,1)}
       2:{2,3,5,6}:{(1,1),(5,1),(6,1)}
       3:{1,4,5,6}:{(1,1),(6,1),(7,1),(29,1)}
       4:{2,3,4,5}:{(5,1),(8,1),(31,1),(42,1)}
       5:{2,3,4,6}:{(2,1),(4,1),(9,1),(33,1),(36,1)}
       6:{1,3,5,6}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
       7:{2,4,5,6}:{(3,1),(10,1),(11,1),(22,1)}
       8:{1,3,4,5}:{(4,1),(9,1),(12,1),(23,1),(24,1),(37,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(8,1),(13,1),(16,1),(26,1),(29,1)}
      10:{2,5,6}:{(6,1),(13,1)}
      11:{3,5,6}:{(7,1),(16,1)}
      12:{2,4,5}:{(8,1),(13,1),(18,1)}
      13:{2,4,6}:{(9,1),(10,1),(12,1),(20,1)}
      14:{1,2,5,6}:{(10,1),(19,1),(21,1),(43,1)}
      15:{2,3,5,6}:{(10,1),(11,1),(20,1),(21,1),(22,1),(35,1)}
      16:{3,4,6}:{(11,1),(22,1),(23,1)}
      17:{1,2,4,5}:{(12,1),(19,1),(24,1),(37,1),(38,1),(43,1)}
      18:{2,3,5}:{(12,1),(20,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(17,1),(26,1),(29,1),(39,1)}
      20:{2,3,6}:{(13,1),(18,1),(26,1)}
      21:{1,3,5,6}:{(14,1),(15,1),(26,1),(28,1),(29,1),(40,1)}
      22:{2,4,6}:{(15,1),(16,1),(29,1),(30,1)}
      23:{3,4,5}:{(16,1),(30,1)}
      24:{1,3,5}:{(17,1),(18,1),(26,1),(31,1),(32,1)}
      25:{2,3,4}:{(18,1),(32,1)}
      26:{1,3,6}:{(19,1),(20,1),(24,1),(33,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(25,1),(34,1),(35,1)}
      28:{2,3,5,6}:{(21,1),(33,1),(36,1),(43,1),(44,1)}
      29:{1,4,6}:{(21,1),(22,1),(36,1),(37,1)}
      30:{2,4,5}:{(22,1),(23,1),(35,1),(37,1)}
      31:{2,3,5}:{(24,1),(33,1),(38,1),(43,1)}
      32:{1,3,4}:{(24,1),(25,1),(38,1)}
      33:{2,3,6}:{(26,1),(31,1),(39,1)}
      34:{1,3,4,6}:{(26,1),(27,1),(29,1),(32,1),(39,1),(40,1),(41,1)}
      35:{2,3,5}:{(27,1),(30,1),(40,1)}
      36:{2,4,6}:{(28,1),(29,1),(41,1),(42,1)}
      37:{1,4,5}:{(29,1),(30,1),(40,1),(42,1)}
      38:{2,4}:{(31,1),(32,1)}
      39:{2,4,6}:{(33,1),(34,1),(38,1),(43,1)}
      40:{1,3,5}:{(34,1),(35,1),(37,1),(43,1),(44,1)}
      41:{3,4,6}:{(36,1),(44,1)}
      42:{2,4,5}:{(36,1),(37,1),(43,1),(44,1)}
      43:{2,5}:{(39,1),(40,1)}
      44:{3,5}:{(41,1),(42,1)}

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

344 :  0:{3,4,5}:{(2,1),(3,1),(62,1),(75,1)}
       1:{4,5,6}:{(6,1),(78,1)}
       2:{3,4,6}:{(0,1),(6,1),(7,1)}
       3:{2,4,5}:{(0,1),(5,1),(7,1),(8,1),(53,1),(72,1)}
       4:{2,3,4}:{(5,1),(9,1),(38,1),(53,1)}
       5:{2,3,5}:{(3,1),(4,1),(10,1),(11,1)}
       6:{3,5,6}:{(1,1),(2,1),(12,1),(75,1)}
       7:{2,4,6}:{(2,1),(3,1),(10,1),(12,1),(13,1)}
       8:{1,4,5}:{(3,1),(11,1),(13,1),(14,1),(43,1),(65,1)}
       9:{1,3,4}:{(4,1),(11,1),(15,1),(28,1),(29,1),(43,1)}
      10:{2,3,6}:{(5,1),(7,1),(16,1)}
      11:{1,3,5}:{(5,1),(8,1),(9,1),(16,1),(17,1),(20,1)}
      12:{2,5,6}:{(6,1),(7,1),(18,1),(72,1)}
      13:{1,4,6}:{(7,1),(8,1),(16,1),(18,1),(19,1)}
      14:{2,4,5}:{(8,1),(17,1),(19,1),(20,1),(34,1),(56,1),(58,1)}
      15:{2,4}:{(9,1),(17,1),(22,1)}
      16:{1,3,6}:{(10,1),(11,1),(13,1),(24,1),(27,1)}
      17:{2,5}:{(11,1),(15,1),(24,1)}
      18:{1,5,6}:{(12,1),(13,1),(26,1),(65,1)}
      19:{2,4,6}:{(13,1),(14,1),(24,1),(26,1),(27,1),(46,1)}
      20:{3,5}:{(14,1),(27,1),(28,1)}
      21:{1,2,4}:{(15,1),(23,1),(29,1),(43,1),(49,1)}
      22:{2,3}:{(15,1),(29,1)}
      23:{1,2,5}:{(17,1),(21,1),(31,1),(32,1),(60,1)}
      24:{2,6}:{(16,1),(17,1)}
      25:{2,3,5}:{(17,1),(20,1),(22,1),(32,1),(33,1),(34,1),(56,1)}
      26:{2,5,6}:{(18,1),(19,1),(35,1),(56,1)}
      27:{3,6}:{(19,1),(20,1)}
      28:{3,4}:{(20,1),(34,1)}
      29:{1,3}:{(21,1),(22,1),(38,1)}
      30:{2,3,4}:{(22,1),(34,1),(39,1),(40,1)}
      31:{1,2,6}:{(23,1),(24,1),(42,1),(69,1)}
      32:{1,3,5}:{(23,1),(25,1),(29,1),(41,1),(42,1),(43,1),(65,1)}
      33:{2,3,6}:{(24,1),(25,1),(27,1),(42,1),(44,1)}
      34:{2,4}:{(25,1),(28,1),(43,1)}
      35:{3,5,6}:{(26,1),(27,1),(46,1),(47,1)}
      36:{3,4,6}:{(27,1),(28,1),(44,1),(46,1),(47,1)}
      37:{3,4,5}:{(28,1),(45,1),(47,1),(48,1)}
      38:{2,3}:{(29,1),(49,1)}
      39:{1,3,4}:{(29,1),(30,1),(43,1),(49,1),(50,1),(62,1)}
      40:{2,3,5}:{(30,1),(45,1),(50,1),(51,1)}
      41:{2,3,5}:{(32,1),(38,1),(52,1),(53,1),(60,1),(71,1),(72,1)}
      42:{1,3,6}:{(31,1),(32,1),(33,1),(52,1),(54,1)}
      43:{1,4}:{(32,1),(34,1),(53,1)}
      44:{2,4,6}:{(33,1),(34,1),(36,1),(54,1),(56,1)}
      45:{2,4,5}:{(34,1),(37,1),(40,1),(55,1),(56,1),(57,1)}
      46:{4,6}:{(35,1),(58,1)}
      47:{3,5}:{(36,1),(56,1),(58,1)}
      48:{3,4,6}:{(37,1),(57,1),(59,1)}
      49:{2,4}:{(38,1),(39,1),(60,1)}
      50:{1,3,5}:{(39,1),(40,1),(55,1),(60,1),(61,1),(71,1)}
      51:{2,3,6}:{(40,1),(57,1),(61,1)}
      52:{2,3,6}:{(41,1),(42,1),(63,1),(69,1),(76,1)}
      53:{2,4}:{(41,1),(43,1),(62,1)}
      54:{1,4,6}:{(42,1),(43,1),(44,1),(63,1),(65,1)}
      55:{1,4,5}:{(43,1),(45,1),(50,1),(64,1),(65,1),(66,1)}
      56:{2,5}:{(44,1),(47,1),(65,1)}
      57:{2,4,6}:{(45,1),(48,1),(51,1),(66,1),(67,1)}
      58:{4,5}:{(46,1),(47,1)}
      59:{3,5,6}:{(47,1),(48,1),(67,1),(68,1)}
      60:{2,5}:{(49,1),(50,1),(69,1)}
      61:{1,3,6}:{(50,1),(51,1),(66,1),(69,1),(76,1)}
      62:{3,4}:{(53,1),(71,1)}
      63:{2,4,6}:{(52,1),(53,1),(54,1),(70,1),(72,1)}
      64:{2,4,5}:{(53,1),(55,1),(60,1),(71,1),(72,1),(73,1),(78,1)}
      65:{1,5}:{(54,1),(56,1),(72,1)}
      66:{1,4,6}:{(55,1),(57,1),(61,1),(73,1),(74,1)}
      67:{2,5,6}:{(56,1),(57,1),(59,1),(74,1)}
      68:{4,5,6}:{(58,1),(59,1)}
      69:{2,6}:{(60,1),(61,1)}
      70:{3,4,6}:{(62,1),(63,1),(75,1),(76,1),(80,1)}
      71:{3,5}:{(62,1),(64,1),(76,1)}
      72:{2,5}:{(63,1),(65,1),(75,1)}
      73:{2,4,6}:{(64,1),(66,1),(69,1),(76,1),(77,1),(80,1)}
      74:{1,5,6}:{(65,1),(66,1),(67,1),(77,1)}
      75:{3,5}:{(70,1),(72,1),(78,1)}
      76:{3,6}:{(71,1),(73,1)}
      77:{2,5,6}:{(72,1),(73,1),(74,1),(79,1)}
      78:{4,5}:{(75,1),(80,1)}
      79:{3,5,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{4,6}:{(78,1),(79,1)}

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

346 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(4,1),(5,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(3,1),(5,1),(6,1)}
       3:{2,4,5}:{(2,1),(7,1),(8,1),(16,1),(28,1)}
       4:{2,5,6}:{(1,1),(9,1),(16,1),(25,1)}
       5:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       6:{3,4,6}:{(2,1),(8,1)}
       7:{1,4,5}:{(3,1),(5,1),(11,1),(12,1),(21,1),(26,1)}
       8:{3,5}:{(3,1),(6,1),(29,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1),(19,1),(22,1),(26,1),(29,1)}
      11:{2,4,5}:{(7,1),(9,1),(15,1),(16,1),(23,1)}
      12:{1,3,5}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
      13:{3,6}:{(9,1),(15,1)}
      14:{2,4,6}:{(10,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(13,1),(19,1)}
      16:{2,5}:{(12,1),(14,1),(21,1)}
      17:{2,3,6}:{(13,1),(14,1),(20,1),(22,1),(29,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,5}:{(16,1),(18,1)}
      22:{1,3,6}:{(17,1),(18,1),(24,1),(25,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(22,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

347 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1),(43,1)}
       2:{1,2,5}:{(0,1),(5,1),(13,1),(44,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(24,1),(32,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(9,1),(32,1),(40,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(41,1),(42,1)}
       6:{2,4,6}:{(3,1),(4,1),(12,1),(13,1),(17,1)}
       7:{1,3,5}:{(3,1),(13,1),(14,1),(28,1)}
       8:{1,3,6}:{(4,1),(12,1),(15,1),(16,1)}
       9:{2,3,5}:{(4,1),(5,1),(13,1),(16,1),(17,1),(28,1),(37,1),(38,1)}
      10:{1,4}:{(5,1),(17,1)}
      11:{1,3,5,6}:{(7,1),(18,1),(19,1),(32,1)}
      12:{1,4,6}:{(6,1),(8,1),(20,1),(23,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{1,4,5}:{(7,1),(10,1),(19,1),(21,1),(41,1)}
      15:{1,2,6}:{(8,1),(22,1),(40,1)}
      16:{1,3,5}:{(8,1),(9,1),(20,1),(22,1),(23,1),(34,1)}
      17:{2,4}:{(9,1),(10,1),(23,1),(24,1)}
      18:{2,5,6}:{(11,1),(13,1),(25,1),(26,1)}
      19:{1,4,6}:{(11,1),(14,1),(26,1),(43,1)}
      20:{1,5}:{(12,1),(13,1)}
      21:{2,4,5}:{(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      22:{1,2,5}:{(15,1),(16,1),(29,1),(37,1)}
      23:{1,4}:{(16,1),(17,1)}
      24:{3,4}:{(17,1),(28,1)}
      25:{1,5,6}:{(18,1),(20,1),(31,1)}
      26:{2,4,6}:{(18,1),(19,1),(21,1),(31,1),(32,1),(40,1)}
      27:{1,4,5}:{(20,1),(21,1),(23,1),(31,1),(33,1)}
      28:{3,5}:{(21,1),(24,1),(32,1)}
      29:{1,2,4}:{(22,1),(23,1),(34,1),(35,1)}
      30:{1,3,4}:{(23,1),(24,1),(33,1),(34,1),(35,1)}
      31:{1,4,6}:{(25,1),(26,1),(27,1),(36,1)}
      32:{3,6}:{(26,1),(28,1)}
      33:{1,3,5}:{(27,1),(28,1),(30,1),(36,1),(37,1)}
      34:{1,3}:{(29,1),(38,1)}
      35:{2,4}:{(30,1),(37,1),(38,1),(39,1)}
      36:{1,3,6}:{(31,1),(32,1),(33,1),(40,1)}
      37:{2,5}:{(33,1),(35,1),(40,1),(41,1)}
      38:{2,3}:{(34,1),(35,1),(42,1)}
      39:{1,4}:{(35,1),(41,1),(42,1)}
      40:{2,6}:{(36,1),(37,1),(43,1)}
      41:{1,5}:{(37,1),(39,1),(43,1)}
      42:{1,3}:{(38,1),(39,1),(44,1)}
      43:{1,6}:{(40,1),(41,1)}
      44:{1,2}:{(42,1)}

348 :   0:{1,2,5,6}:{(2,1),(3,1),(36,1),(40,1),(69,1),(72,1),(77,1),(98,1)}
        1:{2,3,5,6}:{(2,1),(4,1),(15,1),(17,1),(36,1),(98,1),(100,1),(125,1)}
        2:{1,3,5,6}:{(0,1),(1,1),(5,1),(6,1),(8,1),(22,1),(26,1),(53,1),(90,1)}
        3:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(23,1),(86,1),(93,1),(112,1),(116,1)}
        4:{2,4,6}:{(1,1),(6,1),(9,1),(10,1),(115,1)}
        5:{2,3,5,6}:{(2,1),(11,1),(15,1),(32,1),(36,1),(77,1),(79,1),(109,1)}
        6:{1,4,6}:{(2,1),(4,1),(11,1),(12,1),(106,1)}
        7:{1,2,4,5}:{(3,1),(12,1),(14,1),(36,1),(38,1),(71,1),(72,1),(78,1),(99,1),(104,1),(106,1),(107,1)}
        8:{1,3,6}:{(3,1),(14,1),(15,1),(109,1),(125,1)}
        9:{2,4,5}:{(4,1),(12,1),(17,1),(36,1)}
       10:{3,4,6}:{(4,1),(17,1),(125,1),(127,1)}
       11:{2,4,6}:{(5,1),(6,1),(19,1),(20,1),(96,1)}
       12:{1,4,5}:{(6,1),(9,1),(19,1),(22,1),(53,1)}
       13:{1,3,4,6}:{(6,1),(8,1),(10,1),(20,1),(22,1),(23,1),(24,1)}
       14:{1,3,5}:{(7,1),(8,1),(24,1),(25,1),(95,1),(114,1),(122,1)}
       15:{2,3,6}:{(8,1),(23,1),(25,1),(26,1),(116,1)}
       16:{2,4,5,6}:{(9,1),(21,1),(27,1),(51,1),(58,1),(112,1),(136,1)}
       17:{3,5}:{(9,1),(10,1)}
       18:{2,3,4,6}:{(10,1),(23,1),(29,1),(30,1),(55,1),(58,1),(84,1),(85,1),(115,1),(135,1),(138,1)}
       19:{2,4,5}:{(11,1),(12,1),(32,1),(36,1)}
       20:{3,4,6}:{(11,1),(32,1),(109,1),(111,1)}
       21:{1,4,5,6}:{(12,1),(16,1),(31,1),(34,1),(69,1),(76,1),(97,1),(131,1)}
       22:{1,3,5}:{(12,1),(13,1),(17,1),(32,1),(36,1)}
       23:{2,4,6}:{(13,1),(15,1),(36,1),(37,1),(38,1)}
       24:{1,3,4}:{(14,1),(38,1),(106,1),(111,1),(127,1)}
       25:{2,3,5}:{(14,1),(15,1),(36,1),(38,1),(39,1),(104,1),(108,1)}
       26:{1,3,6}:{(15,1),(37,1),(39,1),(40,1)}
       27:{3,5,6}:{(16,1),(17,1),(41,1),(125,1),(141,1)}
       28:{3,4,5}:{(17,1),(41,1),(43,1),(127,1),(141,1)}
       29:{2,3,5}:{(17,1),(18,1),(36,1),(43,1),(44,1),(141,1),(143,1)}
       30:{1,3,4,6}:{(18,1),(37,1),(44,1),(45,1),(73,1),(74,1),(76,1),(101,1),(106,1),(109,1),(111,1),(142,1)}
       31:{2,4,5,6}:{(19,1),(21,1),(46,1),(51,1),(80,1),(93,1),(124,1)}
       32:{3,5}:{(19,1),(20,1)}
       33:{2,3,4,6}:{(20,1),(23,1),(48,1),(49,1),(55,1),(62,1),(80,1),(85,1),(96,1),(123,1),(138,1)}
       34:{1,3,5,6}:{(21,1),(22,1),(27,1),(46,1),(50,1),(51,1),(139,1)}
       35:{1,3,4,5}:{(22,1),(24,1),(28,1),(47,1),(50,1),(52,1),(60,1),(82,1),(88,1),(95,1),(114,1),(121,1),(139,1)}
       36:{2,5}:{(22,1),(23,1),(53,1)}
       37:{1,4,6}:{(23,1),(26,1),(53,1),(56,1)}
       38:{2,4}:{(24,1),(25,1),(56,1)}
       39:{1,3,5}:{(25,1),(26,1),(53,1),(56,1),(57,1),(92,1)}
       40:{1,2,6}:{(26,1),(57,1),(116,1)}
       41:{3,4,6}:{(27,1),(28,1),(58,1)}
       42:{2,3,5,6}:{(27,1),(29,1),(51,1),(58,1),(59,1),(85,1)}
       43:{2,4,5}:{(28,1),(29,1),(58,1),(60,1),(115,1)}
       44:{1,3,5}:{(29,1),(30,1),(53,1),(60,1),(61,1),(95,1),(144,1)}
       45:{2,4,6}:{(30,1),(61,1),(62,1),(91,1),(96,1),(116,1)}
       46:{3,5,6}:{(31,1),(32,1),(63,1),(109,1),(134,1)}
       47:{3,4,5}:{(32,1),(63,1),(65,1),(111,1),(134,1)}
       48:{2,3,5}:{(32,1),(33,1),(36,1),(65,1),(66,1),(134,1),(143,1)}
       49:{1,3,4,6}:{(33,1),(37,1),(66,1),(67,1),(73,1),(74,1),(97,1),(101,1),(106,1),(125,1),(127,1),(142,1)}
       50:{1,3,4,6}:{(34,1),(35,1),(41,1),(63,1),(68,1),(76,1),(97,1),(101,1),(109,1),(125,1)}
       51:{2,5,6}:{(34,1),(36,1),(68,1),(69,1),(143,1)}
       52:{2,4,5}:{(35,1),(36,1),(38,1),(68,1),(70,1),(71,1),(104,1),(133,1),(143,1)}
       53:{1,5}:{(36,1),(37,1)}
       54:{1,2,4,6}:{(37,1),(40,1),(45,1),(67,1),(72,1),(73,1),(75,1),(106,1),(107,1),(128,1),(142,1)}
       55:{2,3,4}:{(38,1),(70,1),(74,1),(108,1),(111,1),(127,1),(133,1)}
       56:{1,4}:{(38,1),(39,1)}
       57:{1,2,5}:{(39,1),(40,1),(75,1),(104,1)}
       58:{2,4,6}:{(41,1),(42,1),(43,1),(76,1)}
       59:{1,3,5,6}:{(42,1),(44,1),(69,1),(76,1),(77,1),(101,1),(109,1)}
       60:{1,4,5}:{(43,1),(44,1),(76,1),(78,1),(106,1)}
       61:{2,5}:{(44,1),(45,1)}
       62:{2,3,6}:{(45,1),(73,1),(79,1),(108,1),(109,1)}
       63:{3,4,6}:{(46,1),(47,1),(80,1)}
       64:{2,3,5,6}:{(46,1),(48,1),(51,1),(80,1),(81,1),(85,1)}
       65:{2,4,5}:{(47,1),(48,1),(80,1),(82,1),(96,1)}
       66:{1,3,5}:{(48,1),(49,1),(53,1),(82,1),(83,1),(114,1),(144,1)}
       67:{2,4,6}:{(49,1),(83,1),(84,1),(91,1),(115,1),(116,1)}
       68:{2,4,6}:{(50,1),(51,1),(52,1),(85,1),(86,1),(116,1)}
       69:{1,5,6}:{(51,1),(53,1),(86,1),(144,1)}
       70:{2,3,5}:{(52,1),(55,1),(85,1),(88,1),(95,1),(114,1)}
       71:{1,4,5}:{(52,1),(53,1),(56,1),(86,1),(88,1),(140,1),(144,1)}
       72:{1,2,5}:{(53,1),(54,1),(61,1),(83,1),(90,1),(144,1)}
       73:{1,3,6}:{(54,1),(62,1),(84,1),(90,1),(92,1),(122,1)}
       74:{1,3,4}:{(55,1),(56,1),(88,1),(91,1),(92,1),(122,1),(140,1)}
       75:{1,2,4}:{(56,1),(57,1),(91,1),(92,1)}
       76:{1,4,6}:{(58,1),(59,1),(60,1),(93,1)}
       77:{2,5,6}:{(59,1),(61,1),(93,1),(116,1)}
       78:{2,4,5}:{(60,1),(61,1),(93,1),(95,1),(96,1)}
       79:{2,3,5}:{(61,1),(62,1),(90,1),(95,1),(96,1)}
       80:{2,4,6}:{(63,1),(64,1),(65,1),(97,1)}
       81:{1,3,5,6}:{(64,1),(66,1),(69,1),(97,1),(98,1),(101,1),(125,1)}
       82:{1,4,5}:{(65,1),(66,1),(97,1),(99,1),(106,1)}
       83:{2,5}:{(66,1),(67,1)}
       84:{2,3,6}:{(67,1),(73,1),(100,1),(108,1),(125,1)}
       85:{2,3,6}:{(68,1),(70,1),(101,1),(109,1),(125,1)}
       86:{1,4,6}:{(68,1),(69,1),(71,1),(101,1)}
       87:{1,2,5,6}:{(69,1),(72,1),(77,1),(98,1),(102,1),(103,1),(128,1),(143,1)}
       88:{1,3,5}:{(70,1),(71,1),(74,1),(101,1),(104,1)}
       89:{1,2,4,5}:{(71,1),(72,1),(75,1),(78,1),(99,1),(102,1),(104,1),(105,1),(106,1),(131,1),(133,1),(143,1)}
       90:{1,3,5}:{(72,1),(73,1),(79,1),(100,1),(106,1)}
       91:{2,4}:{(74,1),(104,1),(108,1)}
       92:{1,3}:{(75,1),(108,1)}
       93:{2,4,6}:{(76,1),(77,1),(78,1),(109,1)}
       94:{2,3,5,6}:{(77,1),(79,1),(103,1),(109,1),(110,1),(129,1),(134,1),(143,1)}
       95:{3,5}:{(78,1),(109,1),(111,1)}
       96:{2,4}:{(79,1),(106,1),(111,1)}
       97:{1,4,6}:{(80,1),(81,1),(82,1),(112,1)}
       98:{2,5,6}:{(81,1),(83,1),(112,1),(116,1)}
       99:{2,4,5}:{(82,1),(83,1),(112,1),(114,1),(115,1)}
      100:{2,3,5}:{(83,1),(84,1),(90,1),(114,1),(115,1)}
      101:{1,3,6}:{(85,1),(86,1),(88,1),(116,1)}
      102:{1,2,4,6}:{(86,1),(87,1),(89,1),(93,1),(112,1),(116,1),(117,1),(118,1),(138,1)}
      103:{1,3,5,6}:{(87,1),(90,1),(94,1),(113,1),(117,1),(118,1),(137,1),(139,1),(144,1)}
      104:{2,5}:{(88,1),(91,1),(116,1)}
      105:{1,3,5}:{(89,1),(92,1),(95,1),(114,1),(117,1),(120,1),(121,1)}
      106:{1,4}:{(90,1),(96,1),(115,1)}
      107:{1,2,4}:{(91,1),(119,1),(122,1),(140,1)}
      108:{2,3}:{(91,1),(92,1),(122,1)}
      109:{3,6}:{(93,1),(95,1)}
      110:{2,4,6}:{(94,1),(96,1),(118,1),(123,1),(124,1)}
      111:{3,4}:{(95,1),(96,1)}
      112:{2,4,6}:{(97,1),(98,1),(99,1),(125,1)}
      113:{2,3,5,6}:{(98,1),(100,1),(103,1),(125,1),(126,1),(129,1),(141,1),(143,1)}
      114:{3,5}:{(99,1),(125,1),(127,1)}
      115:{2,4}:{(100,1),(106,1),(127,1)}
      116:{2,6}:{(101,1),(104,1)}
      117:{1,3,6}:{(102,1),(105,1),(109,1),(125,1),(129,1)}
      118:{1,4,6}:{(103,1),(106,1),(110,1),(126,1),(131,1)}
      119:{1,2,5}:{(104,1),(107,1),(128,1),(132,1)}
      120:{2,3,5}:{(104,1),(105,1),(108,1),(129,1),(132,1),(133,1),(143,1)}
      121:{1,3,4}:{(105,1),(106,1),(111,1),(127,1),(133,1)}
      122:{1,3}:{(107,1),(108,1)}
      123:{3,4,6}:{(109,1),(110,1),(111,1),(134,1)}
      124:{2,4,5}:{(110,1),(131,1),(134,1),(143,1)}
      125:{3,6}:{(112,1),(114,1)}
      126:{2,4,6}:{(113,1),(115,1),(118,1),(135,1),(136,1)}
      127:{3,4}:{(114,1),(115,1)}
      128:{1,2,6}:{(116,1),(119,1),(137,1)}
      129:{2,3,6}:{(116,1),(117,1),(120,1),(137,1),(138,1)}
      130:{1,3,4,6}:{(117,1),(118,1),(121,1),(123,1),(135,1),(138,1),(139,1)}
      131:{1,4,5}:{(118,1),(124,1),(136,1),(139,1),(144,1)}
      132:{1,3,5}:{(119,1),(120,1),(122,1),(137,1),(140,1),(144,1)}
      133:{2,4}:{(120,1),(121,1),(140,1)}
      134:{3,5}:{(123,1),(124,1)}
      135:{3,4,6}:{(125,1),(126,1),(127,1),(141,1)}
      136:{2,4,5}:{(126,1),(131,1),(141,1),(143,1)}
      137:{1,3,6}:{(128,1),(129,1),(132,1),(142,1)}
      138:{2,4,6}:{(129,1),(130,1),(133,1),(142,1),(143,1)}
      139:{1,3,5}:{(130,1),(131,1),(134,1),(141,1),(143,1)}
      140:{1,4}:{(132,1),(133,1)}
      141:{3,5}:{(135,1),(136,1)}
      142:{1,4,6}:{(137,1),(138,1),(140,1),(144,1)}
      143:{2,5}:{(138,1),(139,1),(144,1)}
      144:{1,5}:{(142,1),(143,1)}

349 :  0:{1,2,5}:{(2,1),(3,1),(4,1),(16,1),(41,1)}
       1:{2,3,5}:{(4,1),(5,1),(6,1),(17,1),(22,1),(23,1),(41,1)}
       2:{1,2,4}:{(0,1),(8,1),(10,1),(29,1)}
       3:{1,2,6}:{(0,1),(9,1),(50,1)}
       4:{1,3,5}:{(0,1),(1,1),(7,1),(8,1),(9,1),(10,1),(28,1),(31,1),(49,1)}
       5:{2,3,6}:{(1,1),(9,1),(12,1),(34,1),(50,1)}
       6:{2,4}:{(1,1),(10,1),(11,1)}
       7:{2,3,5}:{(4,1),(14,1),(15,1),(17,1),(37,1),(38,1),(41,1)}
       8:{1,3}:{(2,1),(17,1)}
       9:{1,3,6}:{(3,1),(4,1),(5,1),(14,1),(19,1),(54,1)}
      10:{1,4}:{(4,1),(6,1),(15,1)}
      11:{3,4}:{(6,1),(22,1)}
      12:{2,4,6}:{(5,1),(6,1),(19,1),(21,1),(23,1)}
      13:{2,4,5}:{(6,1),(20,1),(22,1),(23,1),(24,1),(41,1),(44,1)}
      14:{2,3,6}:{(7,1),(9,1),(26,1),(47,1),(50,1)}
      15:{2,4}:{(7,1),(10,1),(25,1)}
      16:{1,2}:{(28,1)}
      17:{2,3}:{(8,1),(28,1),(29,1)}
      18:{1,3,4}:{(8,1),(10,1),(11,1),(25,1),(29,1),(30,1)}
      19:{1,4,6}:{(9,1),(10,1),(12,1),(26,1),(31,1)}
      20:{1,4,5}:{(10,1),(13,1),(27,1),(30,1),(31,1),(32,1),(49,1)}
      21:{3,4,6}:{(11,1),(12,1),(33,1),(34,1),(51,1)}
      22:{3,5}:{(11,1),(13,1),(34,1)}
      23:{2,5}:{(12,1),(31,1),(33,1)}
      24:{2,4,6}:{(13,1),(32,1),(34,1),(35,1),(50,1),(51,1)}
      25:{3,4}:{(15,1),(37,1)}
      26:{2,4,6}:{(14,1),(15,1),(19,1),(36,1),(38,1)}
      27:{2,4,5}:{(15,1),(20,1),(37,1),(38,1),(39,1),(41,1),(52,1)}
      28:{1,3}:{(16,1),(17,1),(40,1)}
      29:{2,4}:{(17,1),(18,1),(40,1),(41,1)}
      30:{1,3,5}:{(18,1),(20,1),(22,1),(37,1),(41,1),(42,1)}
      31:{1,5}:{(19,1),(23,1),(38,1)}
      32:{1,4,6}:{(20,1),(24,1),(39,1),(42,1),(43,1),(54,1)}
      33:{3,5}:{(21,1),(23,1),(44,1)}
      34:{3,6}:{(22,1),(24,1)}
      35:{2,5,6}:{(23,1),(24,1),(43,1),(45,1)}
      36:{3,4,6}:{(25,1),(26,1),(46,1),(47,1),(55,1)}
      37:{3,5}:{(25,1),(27,1),(47,1)}
      38:{2,5}:{(26,1),(31,1),(46,1)}
      39:{2,4,6}:{(27,1),(32,1),(47,1),(48,1),(50,1),(55,1)}
      40:{1,4}:{(28,1),(29,1),(49,1)}
      41:{2,5}:{(29,1),(30,1),(49,1),(50,1)}
      42:{1,3,6}:{(30,1),(32,1),(34,1),(47,1),(50,1)}
      43:{1,5,6}:{(31,1),(32,1),(35,1),(48,1)}
      44:{4,5}:{(33,1),(51,1)}
      45:{3,5,6}:{(33,1),(34,1),(35,1),(51,1)}
      46:{3,5}:{(36,1),(38,1),(52,1)}
      47:{3,6}:{(37,1),(39,1)}
      48:{2,5,6}:{(38,1),(39,1),(43,1),(53,1)}
      49:{1,5}:{(40,1),(41,1),(54,1)}
      50:{2,6}:{(41,1),(42,1),(54,1)}
      51:{4,6}:{(44,1),(45,1)}
      52:{4,5}:{(46,1),(55,1)}
      53:{3,5,6}:{(46,1),(47,1),(48,1),(55,1)}
      54:{1,6}:{(49,1),(50,1)}
      55:{4,6}:{(52,1),(53,1)}

350 :  0:{1,2,6}:{(3,1),(4,1),(54,1)}
       1:{2,3,6}:{(4,1),(5,1),(6,1),(43,1),(54,1)}
       2:{3,4,6}:{(6,1),(7,1),(21,1),(24,1),(43,1)}
       3:{1,2,5}:{(0,1),(9,1),(10,1),(28,1),(49,1)}
       4:{1,3,6}:{(0,1),(1,1),(8,1),(10,1),(11,1),(55,1)}
       5:{2,3,5}:{(1,1),(10,1),(12,1),(13,1),(29,1),(33,1),(49,1)}
       6:{2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1)}
       7:{3,5}:{(2,1),(13,1),(14,1)}
       8:{2,3,6}:{(4,1),(16,1),(17,1),(52,1),(54,1)}
       9:{1,2,4}:{(3,1),(18,1),(19,1),(40,1)}
      10:{1,3,5}:{(3,1),(4,1),(5,1),(16,1),(18,1),(19,1),(20,1),(39,1),(53,1)}
      11:{1,4,6}:{(4,1),(6,1),(17,1),(19,1),(20,1)}
      12:{2,4}:{(5,1),(19,1),(21,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{4,5}:{(7,1),(24,1)}
      15:{3,5,6}:{(7,1),(23,1),(24,1),(43,1)}
      16:{2,3,5}:{(8,1),(10,1),(26,1),(27,1),(29,1),(46,1),(49,1)}
      17:{2,4,6}:{(8,1),(11,1),(25,1),(26,1),(27,1)}
      18:{1,3}:{(9,1),(29,1)}
      19:{1,4}:{(10,1),(12,1),(26,1)}
      20:{1,5}:{(11,1),(13,1),(27,1)}
      21:{3,4}:{(12,1),(33,1)}
      22:{2,4,5}:{(12,1),(13,1),(14,1),(31,1),(33,1),(34,1),(49,1)}
      23:{2,5,6}:{(13,1),(15,1),(32,1),(34,1)}
      24:{4,6}:{(14,1),(15,1)}
      25:{3,4,6}:{(17,1),(35,1),(36,1),(51,1),(52,1)}
      26:{2,4}:{(16,1),(19,1),(36,1)}
      27:{2,5}:{(17,1),(20,1),(35,1)}
      28:{1,2}:{(39,1)}
      29:{2,3}:{(18,1),(39,1),(40,1)}
      30:{1,3,4}:{(18,1),(19,1),(21,1),(36,1),(40,1),(41,1)}
      31:{1,4,5}:{(19,1),(20,1),(22,1),(37,1),(41,1),(42,1),(53,1)}
      32:{1,5,6}:{(20,1),(23,1),(38,1),(42,1)}
      33:{3,5}:{(21,1),(22,1),(43,1)}
      34:{2,4,6}:{(22,1),(23,1),(24,1),(42,1),(43,1),(54,1)}
      35:{3,5}:{(25,1),(27,1),(44,1)}
      36:{3,4}:{(26,1),(46,1)}
      37:{2,4,5}:{(26,1),(27,1),(31,1),(44,1),(46,1),(47,1),(49,1)}
      38:{2,5,6}:{(27,1),(32,1),(45,1),(47,1)}
      39:{1,3}:{(28,1),(29,1),(48,1)}
      40:{2,4}:{(29,1),(30,1),(48,1),(49,1)}
      41:{1,3,5}:{(30,1),(31,1),(33,1),(46,1),(49,1),(50,1)}
      42:{1,4,6}:{(31,1),(32,1),(34,1),(47,1),(50,1),(55,1)}
      43:{3,6}:{(33,1),(34,1)}
      44:{4,5}:{(35,1),(51,1)}
      45:{3,5,6}:{(35,1),(38,1),(51,1),(52,1)}
      46:{3,5}:{(36,1),(37,1),(52,1)}
      47:{2,4,6}:{(37,1),(38,1),(42,1),(51,1),(52,1),(54,1)}
      48:{1,4}:{(39,1),(40,1),(53,1)}
      49:{2,5}:{(40,1),(41,1),(53,1),(54,1)}
      50:{1,3,6}:{(41,1),(42,1),(43,1),(52,1),(54,1)}
      51:{4,6}:{(44,1),(45,1)}
      52:{3,6}:{(46,1),(47,1)}
      53:{1,5}:{(48,1),(49,1),(55,1)}
      54:{2,6}:{(49,1),(50,1),(55,1)}
      55:{1,6}:{(53,1),(54,1)}

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

352 :  0:{1,2,6}:{(3,1),(4,1),(53,1)}
       1:{2,3,6}:{(3,1),(5,1),(6,1),(42,1),(53,1)}
       2:{3,4,6}:{(5,1),(7,1),(23,1),(24,1),(42,1)}
       3:{1,3,6}:{(0,1),(1,1),(8,1),(9,1),(10,1),(55,1)}
       4:{1,2,5}:{(0,1),(10,1),(11,1),(48,1),(50,1)}
       5:{2,4,6}:{(1,1),(2,1),(9,1),(12,1),(13,1)}
       6:{2,3,5}:{(1,1),(10,1),(12,1),(13,1),(31,1),(33,1),(48,1)}
       7:{3,5}:{(2,1),(12,1),(15,1)}
       8:{2,3,6}:{(3,1),(16,1),(17,1),(52,1),(53,1)}
       9:{1,4,6}:{(3,1),(5,1),(16,1),(18,1),(19,1)}
      10:{1,3,5}:{(3,1),(4,1),(6,1),(17,1),(18,1),(19,1),(20,1),(41,1),(54,1)}
      11:{1,2,4}:{(4,1),(19,1),(20,1),(40,1)}
      12:{2,5}:{(5,1),(7,1),(18,1)}
      13:{2,4}:{(6,1),(19,1),(23,1)}
      14:{3,5,6}:{(7,1),(21,1),(24,1),(42,1)}
      15:{4,5}:{(7,1),(24,1)}
      16:{2,4,6}:{(8,1),(9,1),(25,1),(26,1),(27,1)}
      17:{2,3,5}:{(8,1),(10,1),(26,1),(27,1),(31,1),(46,1),(48,1)}
      18:{1,5}:{(9,1),(12,1),(26,1)}
      19:{1,4}:{(10,1),(13,1),(27,1)}
      20:{1,3}:{(11,1),(31,1)}
      21:{2,5,6}:{(12,1),(14,1),(28,1),(32,1)}
      22:{2,4,5}:{(12,1),(13,1),(15,1),(29,1),(32,1),(33,1),(48,1)}
      23:{3,4}:{(13,1),(33,1)}
      24:{4,6}:{(14,1),(15,1)}
      25:{3,4,6}:{(16,1),(34,1),(37,1),(51,1),(52,1)}
      26:{2,5}:{(16,1),(18,1),(34,1)}
      27:{2,4}:{(17,1),(19,1),(37,1)}
      28:{1,5,6}:{(18,1),(21,1),(35,1),(38,1)}
      29:{1,4,5}:{(18,1),(19,1),(22,1),(36,1),(38,1),(39,1),(54,1)}
      30:{1,3,4}:{(19,1),(20,1),(23,1),(37,1),(39,1),(40,1)}
      31:{2,3}:{(20,1),(40,1),(41,1)}
      32:{2,4,6}:{(21,1),(22,1),(24,1),(38,1),(42,1),(53,1)}
      33:{3,5}:{(22,1),(23,1),(42,1)}
      34:{3,5}:{(25,1),(26,1),(44,1)}
      35:{2,5,6}:{(26,1),(28,1),(43,1),(45,1)}
      36:{2,4,5}:{(26,1),(27,1),(29,1),(44,1),(45,1),(46,1),(48,1)}
      37:{3,4}:{(27,1),(46,1)}
      38:{1,4,6}:{(28,1),(29,1),(32,1),(45,1),(47,1),(55,1)}
      39:{1,3,5}:{(29,1),(30,1),(33,1),(46,1),(47,1),(48,1)}
      40:{2,4}:{(30,1),(31,1),(48,1),(49,1)}
      41:{1,3}:{(31,1),(49,1),(50,1)}
      42:{3,6}:{(32,1),(33,1)}
      43:{3,5,6}:{(34,1),(35,1),(51,1),(52,1)}
      44:{4,5}:{(34,1),(51,1)}
      45:{2,4,6}:{(35,1),(36,1),(38,1),(51,1),(52,1),(53,1)}
      46:{3,5}:{(36,1),(37,1),(52,1)}
      47:{1,3,6}:{(38,1),(39,1),(42,1),(52,1),(53,1)}
      48:{2,5}:{(39,1),(40,1),(53,1),(54,1)}
      49:{1,4}:{(40,1),(41,1),(54,1)}
      50:{1,2}:{(41,1)}
      51:{4,6}:{(43,1),(44,1)}
      52:{3,6}:{(45,1),(46,1)}
      53:{2,6}:{(47,1),(48,1),(55,1)}
      54:{1,5}:{(48,1),(49,1),(55,1)}
      55:{1,6}:{(53,1),(54,1)}

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

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

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

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

357 :   0:{1,2,4,5}:{(2,1),(3,1),(14,1),(17,1),(46,1),(53,1),(54,1),(80,1),(121,1),(127,1),(151,1)}
        1:{1,3,4,5}:{(5,1),(6,1),(7,1),(22,1),(27,1),(34,1),(60,1),(110,1),(111,1),(143,1)}
        2:{1,3,5}:{(0,1),(7,1),(8,1),(9,1),(101,1),(143,1)}
        3:{1,2,4,6}:{(0,1),(9,1),(10,1),(29,1),(33,1),(38,1),(68,1),(112,1)}
        4:{1,2,4,5}:{(11,1),(12,1),(14,1),(39,1),(46,1),(51,1),(82,1),(83,1),(96,1),(127,1),(132,1)}
        5:{2,4,5}:{(1,1),(13,1),(14,1),(15,1),(17,1),(39,1),(46,1),(53,1),(82,1)}
        6:{1,3,4,6}:{(1,1),(15,1),(16,1),(47,1),(92,1),(93,1),(129,1)}
        7:{1,3,4}:{(2,1),(17,1),(151,1),(156,1)}
        8:{2,3,5}:{(2,1),(17,1),(19,1),(20,1),(46,1),(53,1),(87,1)}
        9:{1,3,6}:{(2,1),(3,1),(20,1),(129,1)}
       10:{1,2,5,6}:{(3,1),(21,1),(49,1),(53,1),(91,1),(121,1),(162,1)}
       11:{1,3,5}:{(4,1),(22,1),(23,1),(24,1),(73,1),(143,1)}
       12:{1,2,4,6}:{(4,1),(24,1),(25,1),(29,1),(59,1),(64,1),(68,1),(112,1)}
       13:{2,3,5}:{(5,1),(26,1),(27,1),(28,1),(143,1)}
       14:{1,4,5}:{(5,1),(27,1),(29,1),(32,1),(58,1),(75,1),(103,1)}
       15:{2,4,6}:{(5,1),(6,1),(28,1),(29,1),(30,1),(68,1)}
       16:{1,3,5,6}:{(6,1),(30,1),(31,1),(34,1),(60,1),(72,1)}
       17:{2,4}:{(7,1),(8,1),(32,1)}
       18:{1,3,4,6}:{(7,1),(9,1),(33,1),(34,1),(38,1),(79,1)}
       19:{1,3,5}:{(8,1),(32,1),(35,1),(36,1),(73,1),(75,1)}
       20:{2,3,6}:{(8,1),(9,1),(33,1),(36,1),(68,1)}
       21:{1,3,5,6}:{(9,1),(10,1),(34,1),(37,1),(38,1),(137,1),(149,1),(150,1)}
       22:{1,3,4}:{(11,1),(39,1),(132,1),(156,1)}
       23:{2,3,5}:{(11,1),(39,1),(41,1),(42,1),(46,1),(82,1),(87,1)}
       24:{1,3,6}:{(11,1),(12,1),(42,1),(129,1)}
       25:{1,2,5,6}:{(12,1),(43,1),(49,1),(82,1),(91,1),(96,1),(174,1)}
       26:{2,3,4}:{(13,1),(17,1),(39,1),(44,1),(87,1),(156,1)}
       27:{1,3,5}:{(13,1),(14,1),(44,1),(46,1),(47,1)}
       28:{2,3,6}:{(13,1),(15,1),(47,1),(129,1)}
       29:{1,4,6}:{(14,1),(15,1),(47,1),(49,1)}
       30:{2,5,6}:{(15,1),(16,1),(49,1),(53,1),(82,1)}
       31:{1,4,5,6}:{(16,1),(50,1),(54,1),(83,1),(92,1),(131,1)}
       32:{1,4}:{(17,1),(19,1)}
       33:{2,4,6}:{(17,1),(18,1),(20,1),(52,1),(53,1)}
       34:{1,3,5}:{(18,1),(53,1),(54,1),(98,1)}
       35:{1,2,5}:{(19,1),(46,1),(51,1),(55,1)}
       36:{1,3,6}:{(19,1),(20,1),(52,1),(55,1)}
       37:{2,3,5,6}:{(20,1),(21,1),(53,1),(56,1),(57,1),(91,1),(98,1),(126,1),(129,1),(134,1),(135,1)}
       38:{1,4,6}:{(21,1),(54,1),(57,1),(151,1)}
       39:{2,4}:{(22,1),(23,1),(58,1)}
       40:{1,3,4,6}:{(22,1),(24,1),(59,1),(60,1),(64,1),(107,1)}
       41:{1,3,5}:{(23,1),(58,1),(61,1),(62,1),(101,1),(103,1)}
       42:{2,3,6}:{(23,1),(24,1),(59,1),(62,1),(68,1)}
       43:{1,3,5,6}:{(24,1),(25,1),(60,1),(63,1),(64,1),(115,1),(165,1),(166,1)}
       44:{1,3,4}:{(26,1),(27,1),(32,1),(58,1),(65,1),(73,1),(101,1)}
       45:{2,3,4,6}:{(26,1),(28,1),(33,1),(59,1),(66,1),(67,1),(70,1),(79,1),(107,1),(108,1),(119,1),(141,1),(142,1),(145,1),(167,1)}
       46:{2,5}:{(27,1),(65,1),(68,1)}
       47:{1,3,6}:{(27,1),(28,1),(29,1),(68,1)}
       48:{2,3,5,6}:{(28,1),(30,1),(67,1),(69,1),(70,1),(72,1),(114,1),(145,1)}
       49:{1,5,6}:{(29,1),(30,1),(75,1),(103,1)}
       50:{2,4,5,6}:{(30,1),(31,1),(70,1),(71,1),(72,1),(76,1),(104,1),(112,1),(114,1)}
       51:{1,2,4}:{(32,1),(35,1),(65,1),(73,1)}
       52:{1,4,6}:{(32,1),(33,1),(36,1),(75,1)}
       53:{2,5}:{(33,1),(34,1),(75,1)}
       54:{1,4,5}:{(34,1),(38,1),(76,1),(149,1)}
       55:{1,2,6}:{(35,1),(36,1),(68,1)}
       56:{1,3,5,6}:{(36,1),(37,1),(75,1),(77,1),(78,1),(115,1),(117,1),(118,1)}
       57:{2,4,6}:{(37,1),(38,1),(76,1),(78,1),(79,1),(142,1)}
       58:{1,4}:{(39,1),(41,1)}
       59:{2,4,6}:{(39,1),(40,1),(42,1),(81,1),(82,1)}
       60:{1,3,5}:{(40,1),(82,1),(83,1),(123,1)}
       61:{1,2,5}:{(41,1),(46,1),(80,1),(84,1)}
       62:{1,3,6}:{(41,1),(42,1),(81,1),(84,1)}
       63:{2,3,5,6}:{(42,1),(43,1),(82,1),(85,1),(86,1),(91,1),(123,1),(126,1),(129,1),(153,1),(154,1)}
       64:{1,4,6}:{(43,1),(83,1),(86,1),(132,1)}
       65:{2,4}:{(44,1),(46,1),(87,1)}
       66:{1,3,4,6}:{(44,1),(45,1),(47,1),(52,1),(81,1),(88,1),(89,1),(92,1),(95,1),(120,1),(129,1),(132,1),(136,1),(151,1),(155,1),(156,1),(159,1),(175,1)}
       67:{2,3,5}:{(45,1),(53,1),(82,1),(89,1),(90,1),(98,1),(123,1),(134,1),(153,1)}
       68:{2,6}:{(46,1),(47,1)}
       69:{1,3,5,6}:{(47,1),(48,1),(49,1),(89,1),(91,1),(92,1),(129,1),(131,1),(159,1)}
       70:{2,4,6}:{(48,1),(90,1),(92,1),(93,1)}
       71:{1,4,5,6}:{(49,1),(50,1),(92,1),(94,1),(97,1),(122,1)}
       72:{3,5,6}:{(50,1),(93,1),(98,1),(123,1),(129,1)}
       73:{1,3}:{(51,1),(87,1)}
       74:{1,2,4,6}:{(51,1),(52,1),(55,1),(88,1),(95,1),(96,1),(132,1),(155,1),(174,1),(182,1)}
       75:{1,5}:{(52,1),(53,1)}
       76:{2,4,5}:{(53,1),(54,1),(57,1),(97,1),(98,1),(134,1)}
       77:{1,2,5,6}:{(55,1),(56,1),(91,1),(96,1),(99,1),(131,1),(134,1)}
       78:{1,4,6}:{(56,1),(57,1),(97,1),(132,1)}
       79:{3,4,6}:{(57,1),(98,1),(129,1),(156,1)}
       80:{1,2,4}:{(58,1),(61,1),(65,1),(101,1)}
       81:{1,4,6}:{(58,1),(59,1),(62,1),(103,1)}
       82:{2,5}:{(59,1),(60,1),(103,1)}
       83:{1,4,5}:{(60,1),(64,1),(104,1),(165,1)}
       84:{1,2,6}:{(61,1),(62,1),(68,1)}
       85:{1,3,5,6}:{(62,1),(63,1),(103,1),(105,1),(106,1),(137,1),(139,1),(140,1)}
       86:{2,4,6}:{(63,1),(64,1),(104,1),(106,1),(107,1),(142,1)}
       87:{2,3}:{(65,1),(73,1),(101,1)}
       88:{2,4,6}:{(65,1),(66,1),(68,1),(108,1),(109,1),(142,1),(169,1),(180,1)}
       89:{1,3,5}:{(66,1),(67,1),(75,1),(103,1),(109,1),(110,1),(143,1),(149,1),(165,1)}
       90:{2,4,5}:{(67,1),(70,1),(110,1),(111,1),(142,1)}
       91:{2,5,6}:{(68,1),(69,1),(109,1),(112,1),(169,1)}
       92:{1,4,6}:{(69,1),(70,1),(110,1),(112,1)}
       93:{3,4,6}:{(70,1),(72,1),(111,1)}
       94:{1,3,5,6}:{(71,1),(72,1),(113,1),(114,1),(117,1),(139,1)}
       95:{1,3,6}:{(73,1),(74,1),(108,1),(115,1),(184,1)}
       96:{1,2,5}:{(74,1),(75,1),(109,1),(115,1),(165,1)}
       97:{1,4,5}:{(75,1),(76,1),(78,1),(117,1)}
       98:{3,5}:{(76,1),(79,1)}
       99:{1,2,4,6}:{(77,1),(78,1),(112,1),(116,1),(118,1),(119,1),(146,1),(169,1)}
      100:{1,3,4,6}:{(78,1),(79,1),(117,1),(118,1),(119,1),(147,1)}
      101:{1,3}:{(80,1),(87,1)}
      102:{1,2,4,6}:{(80,1),(81,1),(84,1),(88,1),(120,1),(121,1),(136,1),(151,1),(162,1),(177,1)}
      103:{1,5}:{(81,1),(82,1)}
      104:{2,4,5}:{(82,1),(83,1),(86,1),(122,1),(123,1),(153,1)}
      105:{1,2,5,6}:{(84,1),(85,1),(91,1),(121,1),(124,1),(131,1),(153,1)}
      106:{1,4,6}:{(85,1),(86,1),(122,1),(151,1)}
      107:{3,4,6}:{(86,1),(123,1),(129,1),(156,1)}
      108:{2,3,6}:{(87,1),(88,1),(95,1),(120,1),(126,1),(129,1),(183,1)}
      109:{2,5}:{(88,1),(89,1)}
      110:{1,4,5}:{(89,1),(90,1),(92,1),(127,1),(132,1),(151,1)}
      111:{3,4,5}:{(90,1),(93,1),(98,1),(123,1),(156,1)}
      112:{2,4,6}:{(91,1),(92,1),(127,1),(129,1)}
      113:{1,3,4,6}:{(92,1),(93,1),(94,1),(128,1),(129,1),(130,1),(159,1)}
      114:{2,5,6}:{(94,1),(130,1),(131,1),(134,1),(153,1)}
      115:{1,3,5}:{(95,1),(96,1),(126,1),(132,1)}
      116:{1,2,4,5}:{(96,1),(97,1),(99,1),(127,1),(132,1),(133,1),(134,1),(158,1),(160,1),(176,1),(182,1)}
      117:{1,3,5}:{(97,1),(98,1),(100,1),(134,1)}
      118:{1,3,6}:{(99,1),(129,1),(133,1),(135,1)}
      119:{2,4,6}:{(100,1),(134,1),(135,1),(136,1),(160,1)}
      120:{1,3,6}:{(101,1),(102,1),(108,1),(137,1),(181,1)}
      121:{1,2,5}:{(102,1),(103,1),(109,1),(137,1),(149,1)}
      122:{1,4,5}:{(103,1),(104,1),(106,1),(139,1)}
      123:{3,5}:{(104,1),(107,1)}
      124:{1,2,4,6}:{(105,1),(106,1),(112,1),(138,1),(140,1),(141,1),(146,1),(169,1)}
      125:{1,3,4,6}:{(106,1),(107,1),(139,1),(140,1),(141,1),(163,1)}
      126:{2,3,5}:{(108,1),(109,1),(115,1),(137,1),(142,1),(143,1)}
      127:{2,4,5}:{(109,1),(110,1),(112,1),(142,1),(143,1)}
      128:{1,3,4,5}:{(110,1),(111,1),(113,1),(117,1),(139,1),(143,1),(144,1),(147,1),(163,1),(168,1)}
      129:{3,6}:{(112,1),(143,1)}
      130:{2,4,6}:{(113,1),(114,1),(144,1),(145,1),(146,1),(169,1)}
      131:{1,5,6}:{(114,1),(146,1),(149,1),(165,1)}
      132:{1,4}:{(115,1),(142,1)}
      133:{1,3,5}:{(116,1),(118,1),(143,1),(147,1),(148,1),(184,1)}
      134:{2,5}:{(117,1),(119,1),(149,1)}
      135:{2,3,6}:{(118,1),(119,1),(148,1),(150,1),(169,1)}
      136:{1,4,6}:{(119,1),(149,1),(150,1),(170,1)}
      137:{1,3,5}:{(120,1),(121,1),(126,1),(151,1)}
      138:{1,2,4,5}:{(121,1),(122,1),(124,1),(127,1),(151,1),(152,1),(153,1),(158,1),(172,1),(176,1),(177,1)}
      139:{1,3,5}:{(122,1),(123,1),(125,1),(153,1)}
      140:{1,3,6}:{(124,1),(129,1),(152,1),(154,1)}
      141:{2,4,6}:{(125,1),(153,1),(154,1),(155,1),(172,1)}
      142:{2,4}:{(126,1),(132,1),(151,1),(156,1)}
      143:{3,5}:{(127,1),(129,1),(156,1)}
      144:{2,4,5}:{(128,1),(130,1),(134,1),(153,1),(157,1),(158,1),(160,1),(172,1),(176,1)}
      145:{2,3,6}:{(129,1),(130,1),(157,1),(159,1)}
      146:{1,4,6}:{(130,1),(131,1),(158,1),(159,1)}
      147:{1,3,4}:{(132,1),(133,1),(156,1),(160,1)}
      148:{2,3,5}:{(133,1),(134,1),(135,1),(160,1),(161,1),(176,1),(183,1)}
      149:{1,5}:{(134,1),(136,1)}
      150:{1,3,6}:{(135,1),(136,1),(161,1),(162,1)}
      151:{1,4}:{(137,1),(142,1)}
      152:{1,3,5}:{(138,1),(140,1),(143,1),(163,1),(164,1),(181,1)}
      153:{2,5}:{(139,1),(141,1),(165,1)}
      154:{2,3,6}:{(140,1),(141,1),(164,1),(166,1),(169,1)}
      155:{1,4,6}:{(141,1),(165,1),(166,1),(178,1)}
      156:{3,4}:{(142,1),(143,1)}
      157:{2,3,5}:{(143,1),(144,1),(145,1),(167,1),(168,1)}
      158:{1,4,5}:{(144,1),(146,1),(149,1),(165,1),(168,1),(170,1),(178,1)}
      159:{1,3,6}:{(145,1),(146,1),(168,1),(169,1)}
      160:{2,4}:{(147,1),(148,1),(170,1)}
      161:{1,3,5}:{(148,1),(149,1),(150,1),(170,1),(171,1),(181,1)}
      162:{1,2,6}:{(150,1),(169,1),(171,1)}
      163:{1,3,4}:{(151,1),(152,1),(156,1),(172,1)}
      164:{2,3,5}:{(152,1),(153,1),(154,1),(172,1),(173,1),(176,1),(183,1)}
      165:{1,5}:{(153,1),(155,1)}
      166:{1,3,6}:{(154,1),(155,1),(173,1),(174,1)}
      167:{2,3,4}:{(156,1),(157,1),(160,1),(172,1),(175,1),(183,1)}
      168:{1,3,5}:{(157,1),(158,1),(159,1),(175,1),(176,1)}
      169:{2,6}:{(159,1),(176,1)}
      170:{1,4}:{(160,1),(161,1)}
      171:{1,2,5}:{(161,1),(162,1),(176,1),(177,1)}
      172:{2,4}:{(163,1),(164,1),(178,1)}
      173:{1,3,5}:{(164,1),(165,1),(166,1),(178,1),(179,1),(184,1)}
      174:{1,2,6}:{(166,1),(169,1),(179,1)}
      175:{1,3,4}:{(167,1),(168,1),(170,1),(178,1),(180,1),(181,1),(184,1)}
      176:{2,5}:{(168,1),(169,1),(180,1)}
      177:{1,2,4}:{(170,1),(171,1),(180,1),(181,1)}
      178:{1,4}:{(172,1),(173,1)}
      179:{1,2,5}:{(173,1),(174,1),(176,1),(182,1)}
      180:{2,4}:{(175,1),(176,1),(183,1)}
      181:{1,3}:{(177,1),(183,1)}
      182:{1,2,4}:{(178,1),(179,1),(180,1),(184,1)}
      183:{2,3}:{(180,1),(181,1),(184,1)}
      184:{1,3}:{(182,1),(183,1)}

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

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

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

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

362 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(12,1),(17,1),(25,1),(26,1),(33,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(17,1)}
       2:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(18,1),(20,1),(29,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(22,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1),(11,1)}
       5:{1,4,6}:{(1,1),(9,1),(11,1),(32,1)}
       6:{2,3,6}:{(2,1),(12,1),(13,1),(17,1),(28,1),(33,1)}
       7:{1,4,6}:{(2,1),(12,1),(14,1),(25,1)}
       8:{2,5}:{(2,1),(3,1),(14,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(25,1),(35,1)}
      10:{1,5,6}:{(4,1),(14,1),(16,1)}
      11:{2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(28,1)}
      12:{1,3,6}:{(6,1),(7,1),(18,1),(19,1),(32,1)}
      13:{2,3,5}:{(6,1),(8,1),(19,1),(20,1),(22,1),(31,1),(36,1)}
      14:{1,5}:{(7,1),(8,1)}
      15:{2,4,5}:{(8,1),(9,1),(11,1),(20,1),(21,1),(22,1),(29,1),(31,1)}
      16:{1,4,6}:{(10,1),(11,1),(21,1),(23,1)}
      17:{3,6}:{(11,1),(22,1)}
      18:{2,6}:{(12,1),(24,1)}
      19:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1),(33,1),(35,1),(38,1)}
      20:{2,4}:{(13,1),(25,1),(26,1)}
      21:{1,4,5}:{(14,1),(15,1),(16,1),(25,1),(27,1)}
      22:{3,5}:{(15,1),(17,1),(26,1),(33,1)}
      23:{1,3,6}:{(16,1),(17,1),(27,1),(28,1)}
      24:{2,5}:{(18,1),(19,1),(29,1),(39,1)}
      25:{1,4}:{(19,1),(20,1),(29,1)}
      26:{3,4}:{(20,1),(22,1)}
      27:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1)}
      28:{2,6}:{(23,1),(31,1),(32,1)}
      29:{2,4}:{(24,1),(25,1),(33,1)}
      30:{1,3,4}:{(25,1),(26,1),(27,1),(33,1),(34,1),(38,1)}
      31:{2,5}:{(27,1),(28,1),(34,1),(35,1)}
      32:{1,6}:{(28,1),(35,1)}
      33:{3}:{(29,1)}
      34:{2,4}:{(30,1),(31,1),(36,1),(37,1),(39,1)}
      35:{1,5}:{(31,1),(32,1),(37,1)}
      36:{2,3}:{(33,1),(34,1),(38,1)}
      37:{1,4}:{(34,1),(35,1),(38,1)}
      38:{1,3}:{(36,1),(37,1),(39,1)}
      39:{2}:{(38,1)}

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

364 :   0:{1,2,5,6}:{(2,1),(3,1),(46,1),(76,1),(85,1),(117,1),(122,1)}
        1:{1,2,4,5}:{(3,1),(4,1),(15,1),(17,1),(45,1),(46,1),(73,1),(80,1),(117,1),(125,1),(153,1)}
        2:{1,3,5,6}:{(0,1),(6,1),(7,1),(9,1),(29,1),(55,1),(94,1),(137,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(7,1),(9,1),(30,1),(64,1),(102,1),(140,1)}
        4:{1,3,5}:{(1,1),(8,1),(9,1),(10,1),(96,1),(143,1)}
        5:{1,2,5,6}:{(11,1),(12,1),(49,1),(71,1),(88,1),(112,1),(122,1)}
        6:{2,3,5,6}:{(2,1),(11,1),(13,1),(18,1),(37,1),(40,1),(46,1),(71,1),(122,1),(126,1),(156,1)}
        7:{1,4,6}:{(2,1),(13,1),(15,1),(153,1)}
        8:{1,3,4}:{(4,1),(17,1),(153,1),(159,1)}
        9:{1,3,6}:{(3,1),(4,1),(18,1),(156,1)}
       10:{2,3,5}:{(4,1),(17,1),(18,1),(19,1),(46,1),(80,1),(84,1)}
       11:{1,3,5,6}:{(5,1),(6,1),(20,1),(22,1),(32,1),(51,1),(66,1),(110,1)}
       12:{1,2,4,6}:{(5,1),(20,1),(21,1),(22,1),(52,1),(131,1),(140,1),(161,1)}
       13:{2,4,6}:{(6,1),(7,1),(20,1),(23,1),(24,1),(144,1)}
       14:{1,3,4,5}:{(8,1),(27,1),(28,1),(29,1),(58,1),(59,1),(104,1),(109,1),(143,1),(146,1)}
       15:{1,4,5}:{(7,1),(23,1),(29,1),(94,1)}
       16:{1,3,4,6}:{(7,1),(8,1),(9,1),(24,1),(29,1),(30,1)}
       17:{2,4}:{(8,1),(10,1),(31,1)}
       18:{2,3,6}:{(9,1),(10,1),(30,1),(32,1),(102,1)}
       19:{1,3,5}:{(10,1),(31,1),(32,1),(33,1),(66,1),(68,1)}
       20:{1,4,6}:{(11,1),(13,1),(34,1),(129,1)}
       21:{1,2,4,5}:{(12,1),(34,1),(36,1),(71,1),(74,1),(88,1),(116,1),(125,1),(129,1),(151,1),(154,1)}
       22:{1,3,6}:{(12,1),(36,1),(37,1),(156,1)}
       23:{2,4,5}:{(13,1),(15,1),(34,1),(40,1),(46,1),(71,1)}
       24:{3,4,6}:{(13,1),(40,1),(156,1),(159,1)}
       25:{2,3,4}:{(17,1),(39,1),(42,1),(84,1),(124,1),(159,1)}
       26:{1,4,5,6}:{(15,1),(38,1),(43,1),(112,1),(121,1),(160,1)}
       27:{1,3,4,6}:{(14,1),(43,1),(44,1),(77,1),(79,1),(121,1),(156,1)}
       28:{2,4,5}:{(14,1),(17,1),(39,1),(44,1),(45,1),(46,1),(80,1),(124,1),(158,1)}
       29:{1,3,5}:{(15,1),(16,1),(40,1),(46,1)}
       30:{2,4,6}:{(16,1),(17,1),(18,1),(46,1),(47,1)}
       31:{1,4}:{(17,1),(19,1)}
       32:{1,3,6}:{(18,1),(19,1),(47,1),(49,1)}
       33:{1,2,5}:{(19,1),(48,1),(49,1),(80,1)}
       34:{1,4,5}:{(20,1),(23,1),(51,1),(66,1)}
       35:{1,3,4,6}:{(20,1),(22,1),(24,1),(51,1),(52,1),(53,1)}
       36:{1,3,5}:{(21,1),(22,1),(53,1),(54,1),(143,1),(168,1)}
       37:{2,3,6}:{(22,1),(52,1),(54,1),(55,1),(161,1)}
       38:{2,4,5,6}:{(23,1),(26,1),(50,1),(56,1),(63,1),(91,1),(100,1),(140,1),(170,1)}
       39:{2,3,5}:{(25,1),(28,1),(57,1),(58,1),(143,1)}
       40:{3,5}:{(23,1),(24,1)}
       41:{2,3,4,6}:{(24,1),(25,1),(30,1),(52,1),(57,1),(60,1),(61,1),(97,1),(100,1),(106,1),(130,1),(142,1),(144,1),(169,1),(179,1)}
       42:{1,3,4}:{(25,1),(31,1),(58,1),(62,1),(68,1),(96,1),(134,1)}
       43:{1,3,5,6}:{(26,1),(27,1),(29,1),(56,1),(63,1),(146,1)}
       44:{2,4,6}:{(27,1),(28,1),(57,1),(63,1),(64,1),(102,1)}
       45:{1,4,5}:{(28,1),(31,1),(58,1),(64,1),(66,1),(134,1),(164,1)}
       46:{2,5}:{(29,1),(30,1),(66,1)}
       47:{1,4,6}:{(30,1),(31,1),(32,1),(66,1)}
       48:{1,2,4}:{(31,1),(33,1),(62,1),(68,1)}
       49:{1,2,6}:{(32,1),(33,1),(102,1)}
       50:{1,4,5,6}:{(34,1),(38,1),(69,1),(85,1),(121,1),(174,1)}
       51:{1,3,5}:{(34,1),(35,1),(40,1),(71,1)}
       52:{2,4,6}:{(35,1),(37,1),(71,1),(72,1),(74,1)}
       53:{1,3,4}:{(36,1),(74,1),(129,1),(159,1)}
       54:{2,3,5}:{(36,1),(37,1),(71,1),(74,1),(75,1),(151,1),(155,1)}
       55:{1,3,6}:{(37,1),(72,1),(75,1),(76,1)}
       56:{3,5,6}:{(38,1),(40,1),(77,1),(156,1),(177,1)}
       57:{2,3,6}:{(39,1),(44,1),(79,1),(156,1)}
       58:{1,3,5}:{(39,1),(42,1),(45,1),(79,1),(80,1)}
       59:{3,4,5}:{(40,1),(77,1),(81,1),(159,1),(177,1)}
       60:{2,3,5}:{(40,1),(41,1),(46,1),(71,1),(81,1),(82,1),(158,1),(177,1),(183,1)}
       61:{1,3,4,6}:{(41,1),(42,1),(47,1),(72,1),(79,1),(82,1),(83,1),(89,1),(118,1),(119,1),(121,1),(129,1),(147,1),(150,1),(153,1),(156,1),(159,1),(182,1)}
       62:{2,4}:{(42,1),(80,1),(84,1)}
       63:{2,5,6}:{(43,1),(44,1),(46,1),(85,1),(158,1)}
       64:{1,4,6}:{(44,1),(45,1),(79,1),(85,1)}
       65:{1,2,4,5}:{(45,1),(48,1),(80,1),(86,1),(87,1),(88,1),(124,1),(125,1),(129,1),(158,1),(160,1)}
       66:{1,5}:{(46,1),(47,1)}
       67:{1,2,4,6}:{(47,1),(48,1),(49,1),(83,1),(88,1),(89,1),(129,1),(154,1),(171,1),(182,1)}
       68:{1,3}:{(48,1),(84,1)}
       69:{1,3,5,6}:{(50,1),(51,1),(56,1),(90,1),(91,1),(180,1)}
       70:{1,3,4,5}:{(51,1),(53,1),(59,1),(90,1),(93,1),(104,1),(135,1),(143,1),(167,1),(180,1)}
       71:{2,5}:{(51,1),(52,1),(94,1)}
       72:{1,4,6}:{(52,1),(55,1),(94,1),(98,1)}
       73:{1,2,4}:{(62,1),(92,1),(96,1),(134,1)}
       74:{2,4}:{(53,1),(54,1),(98,1)}
       75:{1,3,5}:{(54,1),(55,1),(94,1),(98,1),(99,1),(139,1)}
       76:{1,2,6}:{(55,1),(99,1),(161,1)}
       77:{3,4,6}:{(56,1),(59,1),(100,1)}
       78:{2,3,5,6}:{(56,1),(57,1),(60,1),(63,1),(91,1),(100,1),(101,1),(130,1)}
       79:{1,3,6}:{(57,1),(58,1),(64,1),(102,1)}
       80:{2,5}:{(58,1),(62,1),(102,1)}
       81:{2,4,5}:{(59,1),(60,1),(100,1),(104,1),(144,1)}
       82:{1,3,5}:{(60,1),(61,1),(66,1),(94,1),(104,1),(105,1),(143,1),(164,1),(184,1)}
       83:{2,4,6}:{(61,1),(62,1),(102,1),(105,1),(106,1),(138,1),(144,1),(161,1)}
       84:{2,3}:{(62,1),(68,1),(96,1)}
       85:{1,5,6}:{(63,1),(64,1),(66,1),(164,1)}
       86:{1,2,4,6}:{(64,1),(65,1),(102,1),(107,1),(108,1),(140,1),(142,1),(145,1)}
       87:{1,3,5}:{(65,1),(68,1),(103,1),(108,1),(109,1),(143,1)}
       88:{1,2,5}:{(66,1),(67,1),(105,1),(110,1),(184,1)}
       89:{1,3,6}:{(67,1),(68,1),(106,1),(110,1),(168,1)}
       90:{1,3,4,6}:{(69,1),(70,1),(77,1),(111,1),(121,1),(147,1),(156,1)}
       91:{2,5,6}:{(69,1),(71,1),(111,1),(112,1),(183,1)}
       92:{1,2,5}:{(73,1),(80,1),(113,1),(114,1)}
       93:{2,4,5}:{(70,1),(71,1),(74,1),(111,1),(115,1),(116,1),(151,1),(176,1),(183,1)}
       94:{1,5}:{(71,1),(72,1)}
       95:{1,2,4,6}:{(72,1),(73,1),(76,1),(83,1),(113,1),(117,1),(118,1),(120,1),(150,1),(153,1)}
       96:{1,3}:{(73,1),(84,1)}
       97:{2,3,4}:{(74,1),(115,1),(119,1),(155,1),(159,1),(176,1)}
       98:{1,4}:{(74,1),(75,1)}
       99:{1,2,5}:{(75,1),(76,1),(120,1),(151,1)}
      100:{2,4,6}:{(77,1),(78,1),(81,1),(121,1)}
      101:{1,3,5,6}:{(78,1),(79,1),(82,1),(85,1),(112,1),(121,1),(122,1),(147,1),(156,1)}
      102:{2,6}:{(79,1),(80,1)}
      103:{2,3,5}:{(80,1),(84,1),(87,1),(114,1),(123,1),(124,1),(158,1)}
      104:{1,4,5}:{(81,1),(82,1),(121,1),(125,1),(129,1),(153,1)}
      105:{2,5}:{(82,1),(83,1)}
      106:{2,3,6}:{(83,1),(84,1),(89,1),(118,1),(126,1),(155,1),(156,1)}
      107:{1,2,5,6}:{(85,1),(86,1),(88,1),(122,1),(127,1),(158,1),(171,1)}
      108:{1,3,6}:{(86,1),(87,1),(123,1),(156,1)}
      109:{1,3,4}:{(87,1),(124,1),(129,1),(159,1)}
      110:{1,3,5}:{(88,1),(89,1),(126,1),(129,1)}
      111:{2,4,6}:{(90,1),(91,1),(93,1),(130,1),(131,1),(161,1)}
      112:{1,5,6}:{(91,1),(94,1),(131,1),(184,1)}
      113:{1,2,6}:{(92,1),(102,1),(133,1)}
      114:{1,3,5}:{(92,1),(96,1),(103,1),(133,1),(134,1),(164,1)}
      115:{2,3,5}:{(93,1),(97,1),(130,1),(135,1),(143,1)}
      116:{1,4,5}:{(93,1),(94,1),(98,1),(131,1),(135,1),(181,1),(184,1)}
      117:{1,2,5}:{(94,1),(95,1),(105,1),(137,1),(164,1)}
      118:{1,3,6}:{(95,1),(96,1),(106,1),(137,1),(139,1)}
      119:{1,3,4}:{(97,1),(98,1),(135,1),(138,1),(139,1),(168,1),(181,1)}
      120:{1,2,4}:{(98,1),(99,1),(138,1),(139,1)}
      121:{1,4,6}:{(100,1),(101,1),(104,1),(140,1)}
      122:{2,5,6}:{(101,1),(102,1),(105,1),(140,1),(161,1)}
      123:{2,3,6}:{(102,1),(103,1),(108,1),(133,1),(142,1)}
      124:{2,4}:{(103,1),(109,1),(134,1)}
      125:{2,4,5}:{(104,1),(105,1),(140,1),(143,1),(144,1)}
      126:{2,3,5}:{(105,1),(106,1),(110,1),(137,1),(143,1),(144,1)}
      127:{1,3,5,6}:{(107,1),(108,1),(110,1),(141,1),(145,1),(146,1),(178,1),(184,1)}
      128:{1,3,4,6}:{(108,1),(109,1),(142,1),(145,1),(146,1),(169,1)}
      129:{1,4}:{(110,1),(144,1)}
      130:{2,3,6}:{(111,1),(115,1),(147,1),(156,1)}
      131:{1,4,6}:{(111,1),(112,1),(116,1),(147,1)}
      132:{1,2,5,6}:{(112,1),(113,1),(117,1),(122,1),(148,1),(149,1),(183,1)}
      133:{1,3,6}:{(113,1),(114,1),(123,1),(150,1)}
      134:{1,4}:{(114,1),(124,1)}
      135:{1,3,5}:{(115,1),(116,1),(119,1),(147,1),(151,1)}
      136:{1,2,4,5}:{(116,1),(117,1),(120,1),(125,1),(148,1),(151,1),(152,1),(153,1),(174,1),(176,1),(183,1)}
      137:{1,3,5}:{(117,1),(118,1),(126,1),(153,1)}
      138:{2,4}:{(119,1),(151,1),(155,1)}
      139:{1,3}:{(120,1),(155,1)}
      140:{2,4,6}:{(121,1),(122,1),(125,1),(156,1)}
      141:{2,3,5,6}:{(122,1),(123,1),(126,1),(127,1),(149,1),(156,1),(157,1),(158,1),(172,1),(177,1),(183,1)}
      142:{2,4,6}:{(123,1),(124,1),(128,1),(150,1),(158,1)}
      143:{3,5}:{(125,1),(156,1),(159,1)}
      144:{2,4}:{(126,1),(129,1),(153,1),(159,1)}
      145:{1,4,6}:{(127,1),(129,1),(157,1),(160,1)}
      146:{1,3,5}:{(128,1),(158,1),(160,1),(177,1)}
      147:{1,3,6}:{(130,1),(131,1),(135,1),(161,1)}
      148:{1,2,4,6}:{(131,1),(132,1),(136,1),(140,1),(161,1),(162,1),(163,1),(179,1)}
      149:{1,3,5,6}:{(132,1),(133,1),(137,1),(141,1),(162,1),(163,1),(164,1),(180,1)}
      150:{1,4,6}:{(133,1),(134,1),(142,1),(164,1)}
      151:{2,5}:{(135,1),(138,1),(161,1)}
      152:{1,3,5}:{(136,1),(139,1),(143,1),(162,1),(166,1),(167,1)}
      153:{1,4}:{(137,1),(144,1)}
      154:{1,2,4}:{(138,1),(165,1),(168,1),(181,1)}
      155:{2,3}:{(138,1),(139,1),(168,1)}
      156:{3,6}:{(140,1),(143,1)}
      157:{2,4,6}:{(141,1),(144,1),(145,1),(163,1),(169,1),(170,1)}
      158:{2,5}:{(142,1),(146,1),(164,1)}
      159:{3,4}:{(143,1),(144,1)}
      160:{1,4,5}:{(145,1),(146,1),(170,1),(184,1)}
      161:{2,6}:{(147,1),(151,1)}
      162:{1,3,6}:{(148,1),(152,1),(156,1),(172,1)}
      163:{1,4,6}:{(149,1),(153,1),(157,1),(174,1)}
      164:{1,5}:{(150,1),(158,1)}
      165:{1,2,5}:{(151,1),(154,1),(171,1),(175,1)}
      166:{2,3,5}:{(151,1),(152,1),(155,1),(172,1),(175,1),(176,1),(183,1)}
      167:{1,3,4}:{(152,1),(153,1),(159,1),(176,1)}
      168:{1,3}:{(154,1),(155,1)}
      169:{3,4,6}:{(156,1),(157,1),(159,1),(177,1)}
      170:{2,4,5}:{(157,1),(158,1),(160,1),(174,1),(177,1),(183,1)}
      171:{1,2,6}:{(161,1),(165,1),(178,1)}
      172:{2,3,6}:{(161,1),(162,1),(166,1),(178,1),(179,1)}
      173:{1,3,4,6}:{(162,1),(163,1),(167,1),(169,1),(179,1),(180,1)}
      174:{1,4,5}:{(163,1),(164,1),(170,1),(180,1)}
      175:{1,3,5}:{(165,1),(166,1),(168,1),(178,1),(181,1),(184,1)}
      176:{2,4}:{(166,1),(167,1),(181,1)}
      177:{3,5}:{(169,1),(170,1)}
      178:{1,3,6}:{(171,1),(172,1),(175,1),(182,1)}
      179:{2,4,6}:{(172,1),(173,1),(176,1),(182,1),(183,1)}
      180:{1,3,5}:{(173,1),(174,1),(177,1),(183,1)}
      181:{1,4}:{(175,1),(176,1)}
      182:{1,4,6}:{(178,1),(179,1),(181,1),(184,1)}
      183:{2,5}:{(179,1),(180,1),(184,1)}
      184:{1,5}:{(182,1),(183,1)}

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

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

367 :   0:{2,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(41,1),(72,1),(73,1),(75,1),(78,1),(100,1)}
        1:{1,3,4,6}:{(0,1),(5,1),(6,1),(8,1),(20,1),(24,1),(31,1),(50,1),(55,1),(57,1),(92,1),(93,1),(96,1),(115,1)}
        2:{2,3,5}:{(0,1),(6,1),(7,1),(90,1),(95,1),(114,1)}
        3:{1,2,4,6}:{(5,1),(8,1),(9,1),(31,1),(115,1),(116,1),(117,1)}
        4:{2,3,5,6}:{(2,1),(11,1),(12,1),(37,1),(70,1),(73,1)}
        5:{2,4,6}:{(1,1),(13,1),(14,1),(41,1),(109,1),(110,1)}
        6:{1,3,5}:{(1,1),(2,1),(14,1),(15,1),(42,1),(111,1),(126,1)}
        7:{2,4,5}:{(2,1),(12,1),(15,1),(16,1),(41,1)}
        8:{1,3,6}:{(3,1),(13,1),(18,1),(128,1)}
        9:{1,2,5}:{(3,1),(14,1),(18,1),(126,1)}
       10:{1,2,4,6}:{(5,1),(20,1),(21,1),(50,1),(96,1),(97,1),(98,1)}
       11:{1,3,5,6}:{(4,1),(6,1),(23,1),(24,1),(55,1),(89,1),(92,1)}
       12:{2,4,6}:{(4,1),(7,1),(24,1),(25,1)}
       13:{2,3,6}:{(5,1),(8,1),(20,1),(26,1),(55,1),(123,1)}
       14:{2,5}:{(5,1),(6,1)}
       15:{1,4,5}:{(6,1),(7,1),(24,1),(27,1),(31,1),(50,1)}
       16:{3,4,5}:{(7,1),(25,1),(57,1),(90,1)}
       17:{1,2,5,6}:{(9,1),(23,1),(29,1),(30,1),(89,1),(95,1),(116,1),(120,1),(134,1)}
       18:{1,3,5}:{(8,1),(9,1),(26,1),(31,1)}
       19:{1,2,4,5}:{(9,1),(27,1),(30,1),(31,1),(32,1),(59,1),(60,1),(63,1),(94,1),(95,1),(117,1),(134,1),(136,1),(143,1)}
       20:{1,3,6}:{(10,1),(13,1),(34,1),(113,1)}
       21:{1,2,5}:{(10,1),(14,1),(34,1),(111,1)}
       22:{2,4,5,6}:{(12,1),(36,1),(37,1),(70,1),(71,1),(130,1)}
       23:{2,5,6}:{(11,1),(14,1),(39,1),(109,1)}
       24:{1,4,6}:{(11,1),(12,1),(15,1),(39,1)}
       25:{3,4,6}:{(12,1),(16,1),(37,1)}
       26:{2,3,5}:{(13,1),(14,1),(18,1),(34,1),(41,1),(42,1)}
       27:{2,4,5}:{(14,1),(15,1),(39,1),(41,1),(42,1)}
       28:{1,3,4,5}:{(15,1),(16,1),(40,1),(42,1),(43,1),(46,1),(67,1),(76,1),(77,1),(99,1),(104,1),(129,1),(141,1)}
       29:{1,3,5,6}:{(17,1),(18,1),(38,1),(44,1),(45,1),(77,1),(101,1),(126,1),(140,1)}
       30:{1,2,4,6}:{(17,1),(19,1),(39,1),(44,1),(45,1),(74,1),(78,1),(109,1),(130,1)}
       31:{1,4}:{(18,1),(41,1)}
       32:{1,3,5}:{(19,1),(42,1),(45,1),(46,1),(47,1),(128,1),(141,1)}
       33:{1,2,5,6}:{(21,1),(23,1),(48,1),(49,1),(89,1),(97,1),(114,1),(120,1),(124,1)}
       34:{1,3,5}:{(20,1),(21,1),(26,1),(50,1)}
       35:{1,2,4,5}:{(21,1),(27,1),(49,1),(50,1),(51,1),(59,1),(82,1),(85,1),(94,1),(98,1),(114,1),(124,1),(136,1),(139,1)}
       36:{1,4,5,6}:{(22,1),(24,1),(52,1),(53,1),(60,1),(82,1),(89,1),(119,1)}
       37:{3,5,6}:{(22,1),(25,1),(90,1),(137,1)}
       38:{2,3,5,6}:{(23,1),(26,1),(29,1),(48,1),(54,1),(55,1),(62,1),(84,1),(90,1),(95,1),(114,1),(120,1),(137,1),(138,1)}
       39:{2,4,6}:{(23,1),(24,1),(27,1),(55,1)}
       40:{1,3,4,6}:{(24,1),(25,1),(28,1),(53,1),(55,1),(56,1),(87,1),(92,1),(119,1),(137,1)}
       41:{2,4}:{(26,1),(31,1),(50,1),(57,1)}
       42:{3,5}:{(27,1),(55,1),(57,1)}
       43:{2,4,5}:{(28,1),(56,1),(58,1),(59,1),(63,1),(85,1),(94,1),(95,1),(114,1)}
       44:{1,4,6}:{(29,1),(31,1),(54,1),(60,1),(143,1)}
       45:{1,3,6}:{(30,1),(32,1),(55,1),(62,1),(137,1)}
       46:{1,3,4}:{(31,1),(32,1),(57,1),(63,1),(143,1),(144,1)}
       47:{2,3,5}:{(32,1),(62,1),(63,1),(64,1),(94,1),(95,1),(123,1)}
       48:{1,3,5,6}:{(33,1),(34,1),(38,1),(65,1),(66,1),(79,1),(99,1),(111,1),(133,1)}
       49:{1,2,4,6}:{(33,1),(35,1),(39,1),(65,1),(66,1),(74,1),(100,1),(109,1),(130,1)}
       50:{1,4}:{(34,1),(41,1)}
       51:{1,3,5}:{(35,1),(42,1),(66,1),(67,1),(68,1),(113,1),(141,1)}
       52:{2,4,5,6}:{(36,1),(39,1),(69,1),(70,1),(71,1),(105,1)}
       53:{1,3,5,6}:{(36,1),(37,1),(40,1),(69,1),(70,1),(77,1),(99,1)}
       54:{2,4,6}:{(38,1),(41,1),(44,1),(65,1),(71,1),(72,1),(142,1)}
       55:{3,6}:{(39,1),(42,1)}
       56:{2,4,6}:{(40,1),(43,1),(70,1),(73,1),(74,1),(109,1)}
       57:{3,4}:{(41,1),(42,1)}
       58:{2,3,5}:{(42,1),(43,1),(73,1),(75,1),(76,1),(141,1)}
       59:{1,4,5}:{(43,1),(74,1),(76,1),(80,1),(102,1),(111,1),(126,1)}
       60:{1,4,5}:{(44,1),(71,1),(77,1),(126,1)}
       61:{1,3,4,6}:{(44,1),(45,1),(46,1),(72,1),(77,1),(78,1)}
       62:{2,3,6}:{(45,1),(47,1),(78,1),(79,1),(109,1)}
       63:{2,4}:{(46,1),(47,1),(80,1)}
       64:{1,3,5}:{(47,1),(79,1),(80,1),(81,1),(111,1),(113,1)}
       65:{1,4,6}:{(48,1),(50,1),(54,1),(82,1),(139,1)}
       66:{1,3,6}:{(49,1),(51,1),(55,1),(84,1),(137,1)}
       67:{1,3,4}:{(50,1),(51,1),(57,1),(85,1),(139,1),(144,1)}
       68:{2,3,5}:{(51,1),(84,1),(85,1),(86,1),(94,1),(114,1),(123,1)}
       69:{3,5,6}:{(52,1),(55,1),(87,1),(90,1)}
       70:{2,5,6}:{(53,1),(56,1),(89,1),(95,1),(114,1)}
       71:{2,4,5}:{(54,1),(60,1),(82,1),(90,1),(95,1),(114,1)}
       72:{3,4,6}:{(54,1),(55,1),(57,1),(90,1),(137,1),(144,1)}
       73:{2,3,6}:{(55,1),(56,1),(58,1),(92,1),(137,1)}
       74:{1,4,6}:{(56,1),(59,1),(89,1),(92,1)}
       75:{2,3,4}:{(57,1),(58,1),(63,1),(85,1),(93,1),(123,1),(144,1)}
       76:{1,3,5}:{(58,1),(59,1),(92,1),(93,1),(94,1)}
       77:{1,3,5}:{(60,1),(61,1),(90,1),(95,1)}
       78:{2,4,6}:{(61,1),(62,1),(63,1),(95,1),(96,1)}
       79:{1,3,6}:{(62,1),(64,1),(96,1),(97,1)}
       80:{1,4}:{(63,1),(64,1)}
       81:{1,2,5}:{(64,1),(94,1),(97,1),(98,1)}
       82:{1,4,5}:{(65,1),(71,1),(99,1),(111,1)}
       83:{1,3,4,6}:{(65,1),(66,1),(67,1),(72,1),(99,1),(100,1)}
       84:{2,3,6}:{(66,1),(68,1),(100,1),(101,1),(109,1)}
       85:{2,4}:{(67,1),(68,1),(102,1)}
       86:{1,3,5}:{(68,1),(101,1),(102,1),(103,1),(126,1),(128,1)}
       87:{3,4,6}:{(69,1),(104,1),(105,1)}
       88:{2,3,5,6}:{(69,1),(70,1),(73,1),(105,1),(106,1),(107,1)}
       89:{1,5,6}:{(70,1),(74,1),(111,1),(126,1)}
       90:{3,5}:{(71,1),(72,1)}
       91:{2,3,4,6}:{(72,1),(73,1),(75,1),(78,1),(100,1),(105,1),(107,1),(108,1),(132,1),(142,1)}
       92:{1,3,6}:{(73,1),(74,1),(76,1),(109,1)}
       93:{1,3,4}:{(75,1),(76,1),(80,1),(102,1),(110,1),(113,1),(128,1)}
       94:{2,5}:{(76,1),(109,1),(110,1)}
       95:{2,5}:{(77,1),(78,1),(111,1)}
       96:{1,4,6}:{(78,1),(79,1),(80,1),(111,1)}
       97:{1,2,6}:{(79,1),(81,1),(109,1)}
       98:{1,2,4}:{(80,1),(81,1),(110,1),(113,1)}
       99:{1,3,5}:{(82,1),(83,1),(90,1),(114,1)}
      100:{2,4,6}:{(83,1),(84,1),(85,1),(114,1),(115,1)}
      101:{1,3,6}:{(84,1),(86,1),(115,1),(116,1)}
      102:{1,4}:{(85,1),(86,1)}
      103:{1,2,5}:{(86,1),(94,1),(116,1),(117,1)}
      104:{3,4,5}:{(87,1),(90,1),(118,1),(144,1)}
      105:{2,4,6}:{(87,1),(88,1),(118,1),(119,1)}
      106:{1,3,5,6}:{(88,1),(89,1),(92,1),(119,1),(120,1),(121,1),(137,1)}
      107:{2,3,5}:{(90,1),(91,1),(95,1),(114,1),(118,1),(121,1)}
      108:{1,3,4,6}:{(91,1),(92,1),(93,1),(96,1),(115,1),(119,1),(121,1),(122,1),(125,1),(135,1),(137,1),(139,1),(143,1),(144,1)}
      109:{2,6}:{(92,1),(94,1)}
      110:{2,4}:{(93,1),(94,1),(123,1)}
      111:{1,5}:{(95,1),(96,1)}
      112:{1,2,4,6}:{(96,1),(97,1),(98,1),(122,1),(124,1),(125,1),(139,1)}
      113:{1,3}:{(98,1),(123,1)}
      114:{2,5}:{(99,1),(100,1),(126,1)}
      115:{1,4,6}:{(100,1),(101,1),(102,1),(126,1)}
      116:{1,2,6}:{(101,1),(103,1),(109,1)}
      117:{1,2,4}:{(102,1),(103,1),(110,1),(128,1)}
      118:{2,4,5}:{(104,1),(105,1),(107,1),(129,1),(142,1)}
      119:{1,4,6}:{(105,1),(106,1),(129,1),(130,1)}
      120:{2,5,6}:{(106,1),(109,1),(130,1),(131,1)}
      121:{1,3,5}:{(107,1),(108,1),(111,1),(126,1),(129,1),(131,1),(141,1)}
      122:{2,4,6}:{(108,1),(109,1),(110,1),(131,1),(132,1),(142,1)}
      123:{2,3}:{(110,1),(113,1),(128,1)}
      124:{1,2,5}:{(111,1),(112,1),(131,1),(133,1)}
      125:{1,3,6}:{(112,1),(113,1),(132,1),(133,1)}
      126:{1,5}:{(114,1),(115,1)}
      127:{1,2,4,6}:{(115,1),(116,1),(117,1),(122,1),(134,1),(135,1),(143,1)}
      128:{1,3}:{(117,1),(123,1)}
      129:{1,4,5}:{(118,1),(119,1),(121,1),(136,1),(139,1),(143,1)}
      130:{2,4,6}:{(119,1),(120,1),(136,1),(137,1)}
      131:{2,5}:{(121,1),(122,1)}
      132:{2,3,6}:{(122,1),(123,1),(125,1),(135,1),(137,1),(138,1)}
      133:{1,3,5}:{(124,1),(125,1),(138,1),(139,1)}
      134:{1,2,5}:{(126,1),(127,1),(131,1),(140,1)}
      135:{1,3,6}:{(127,1),(128,1),(132,1),(140,1)}
      136:{2,4,5}:{(129,1),(130,1),(131,1),(141,1),(142,1)}
      137:{3,6}:{(130,1),(141,1)}
      138:{2,3,5}:{(131,1),(132,1),(133,1),(140,1),(141,1),(142,1)}
      139:{1,4}:{(133,1),(142,1)}
      140:{1,3,5}:{(134,1),(135,1),(138,1),(143,1)}
      141:{3,5}:{(136,1),(137,1),(144,1)}
      142:{2,4}:{(138,1),(139,1),(143,1),(144,1)}
      143:{1,4}:{(140,1),(142,1)}
      144:{3,4}:{(141,1),(142,1)}

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

369 :  0:{2,3,5,6}:{(1,1),(2,1),(10,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2,5,6}:{(1,1),(7,1),(17,1),(25,1)}
       4:{1,4,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{2,4,5}:{(2,1),(8,1),(10,1),(17,1),(28,1)}
       6:{3,4,6}:{(2,1),(10,1)}
       7:{2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,4,5}:{(4,1),(5,1),(11,1),(13,1),(22,1),(26,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(12,1),(13,1),(14,1),(19,1),(21,1),(26,1),(29,1)}
      10:{3,5}:{(5,1),(6,1),(29,1)}
      11:{2,4,5}:{(7,1),(8,1),(15,1),(17,1),(23,1)}
      12:{3,6}:{(7,1),(15,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(15,1),(17,1)}
      14:{2,4,6}:{(9,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(12,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(20,1),(21,1),(29,1)}
      17:{2,5}:{(13,1),(14,1),(22,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(21,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

370 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(43,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(25,1),(38,1)}
       2:{1,3,4,5}:{(0,1),(5,1),(6,1),(13,1),(40,1),(41,1)}
       3:{3,4,5,6}:{(8,1),(42,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(20,1),(34,1),(36,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,5}:{(6,1),(12,1),(13,1),(26,1),(39,1),(40,1)}
       8:{2,4,5,6}:{(3,1),(4,1),(14,1),(38,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(29,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{2,3,5}:{(6,1),(13,1),(16,1),(17,1)}
      12:{1,2,4,6}:{(7,1),(10,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,3,5}:{(7,1),(11,1),(18,1),(20,1),(21,1)}
      14:{1,4,5,6}:{(8,1),(9,1),(22,1),(34,1)}
      15:{2,5,6}:{(9,1),(10,1)}
      16:{2,3,6}:{(10,1),(11,1),(20,1)}
      17:{2,3,4}:{(11,1),(21,1)}
      18:{2,3,5}:{(13,1),(25,1),(26,1),(39,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(27,1),(39,1)}
      20:{1,3,6}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,3,4}:{(13,1),(17,1),(26,1)}
      22:{2,4,5,6}:{(14,1),(15,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(27,1),(29,1),(30,1),(31,1)}
      24:{2,3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1)}
      25:{2,3,6}:{(18,1),(20,1),(33,1)}
      26:{2,4}:{(18,1),(21,1)}
      27:{1,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1)}
      28:{1,3,4,6}:{(20,1),(21,1),(24,1),(33,1),(34,1),(35,1),(42,1)}
      29:{3,5,6}:{(22,1),(36,1)}
      30:{2,4,6}:{(23,1),(34,1),(36,1),(37,1)}
      31:{2,3,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(38,1),(39,1),(44,1)}
      33:{2,4,6}:{(25,1),(26,1),(28,1),(39,1)}
      34:{1,4,6}:{(27,1),(30,1),(38,1),(40,1)}
      35:{1,3,5}:{(28,1),(31,1),(39,1),(40,1),(44,1)}
      36:{3,4,6}:{(29,1),(30,1),(41,1)}
      37:{2,4,5}:{(30,1),(31,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(34,1),(42,1),(43,1)}
      39:{2,5}:{(33,1),(35,1)}
      40:{1,4,5}:{(34,1),(35,1),(37,1),(43,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{3,4,6}:{(38,1),(44,1)}
      43:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

371 :  0:{3,4,5,6}:{(1,1),(41,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(36,1)}
       2:{2,3,5,6}:{(1,1),(5,1),(6,1)}
       3:{1,4,5,6}:{(1,1),(6,1),(7,1),(29,1)}
       4:{2,3,4,5}:{(5,1),(8,1),(31,1),(42,1)}
       5:{2,3,4,6}:{(2,1),(4,1),(9,1),(33,1),(36,1)}
       6:{1,3,5,6}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
       7:{2,4,5,6}:{(3,1),(10,1),(11,1),(22,1)}
       8:{1,3,4,5}:{(4,1),(9,1),(12,1),(23,1),(24,1),(37,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(8,1),(13,1),(16,1),(26,1),(29,1)}
      10:{2,5,6}:{(6,1),(13,1)}
      11:{3,5,6}:{(7,1),(16,1)}
      12:{2,4,5}:{(8,1),(13,1),(18,1)}
      13:{2,4,6}:{(9,1),(10,1),(12,1),(20,1)}
      14:{1,2,5,6}:{(10,1),(19,1),(21,1),(43,1)}
      15:{2,3,5,6}:{(10,1),(11,1),(20,1),(21,1),(22,1),(35,1)}
      16:{3,4,6}:{(11,1),(22,1),(23,1)}
      17:{1,2,4,5}:{(12,1),(19,1),(24,1),(37,1),(38,1),(43,1)}
      18:{2,3,5}:{(12,1),(20,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(17,1),(26,1),(29,1),(39,1)}
      20:{2,3,6}:{(13,1),(18,1),(26,1)}
      21:{1,3,5,6}:{(14,1),(15,1),(26,1),(28,1),(29,1),(40,1)}
      22:{2,4,6}:{(15,1),(16,1),(29,1),(30,1)}
      23:{3,4,5}:{(16,1),(30,1)}
      24:{1,3,5}:{(17,1),(18,1),(26,1),(31,1),(32,1)}
      25:{2,3,4}:{(18,1),(32,1)}
      26:{1,3,6}:{(19,1),(20,1),(24,1),(33,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(25,1),(34,1),(35,1)}
      28:{2,3,5,6}:{(21,1),(33,1),(36,1),(43,1),(44,1)}
      29:{1,4,6}:{(21,1),(22,1),(36,1),(37,1)}
      30:{2,4,5}:{(22,1),(23,1),(35,1),(37,1)}
      31:{2,3,5}:{(24,1),(33,1),(38,1),(43,1)}
      32:{1,3,4}:{(24,1),(25,1),(38,1)}
      33:{2,3,6}:{(26,1),(31,1),(39,1)}
      34:{1,3,4,6}:{(26,1),(27,1),(29,1),(32,1),(39,1),(40,1),(41,1)}
      35:{2,3,5}:{(27,1),(30,1),(40,1)}
      36:{2,4,6}:{(28,1),(29,1),(41,1),(42,1)}
      37:{1,4,5}:{(29,1),(30,1),(40,1),(42,1)}
      38:{2,4}:{(31,1),(32,1)}
      39:{2,4,6}:{(33,1),(34,1),(38,1),(43,1)}
      40:{1,3,5}:{(34,1),(35,1),(37,1),(43,1),(44,1)}
      41:{3,4,6}:{(36,1),(44,1)}
      42:{2,4,5}:{(36,1),(37,1),(43,1),(44,1)}
      43:{2,5}:{(39,1),(40,1)}
      44:{3,5}:{(41,1),(42,1)}

372 :  0:{2,3,4}:{(2,1),(3,1),(18,1),(36,1)}
       1:{3,4,5}:{(5,1),(6,1),(41,1),(51,1)}
       2:{2,3,5}:{(0,1),(5,1),(7,1),(8,1)}
       3:{1,3,4}:{(0,1),(7,1),(9,1),(11,1),(22,1),(29,1),(39,1),(41,1)}
       4:{1,2,4}:{(9,1),(10,1),(11,1),(29,1)}
       5:{2,4,5}:{(1,1),(2,1),(13,1),(14,1),(36,1),(49,1)}
       6:{3,4,6}:{(1,1),(14,1),(15,1)}
       7:{1,3,5}:{(2,1),(3,1),(13,1),(16,1),(17,1),(33,1)}
       8:{2,3,6}:{(2,1),(14,1),(17,1)}
       9:{2,4}:{(3,1),(16,1),(18,1)}
      10:{1,2,5}:{(4,1),(16,1),(19,1),(20,1)}
      11:{1,3}:{(4,1),(18,1)}
      12:{1,2,4}:{(9,1),(21,1),(22,1),(39,1)}
      13:{1,4,5}:{(5,1),(7,1),(23,1),(24,1),(29,1),(39,1),(45,1),(50,1)}
      14:{2,4,6}:{(5,1),(6,1),(8,1),(24,1),(25,1)}
      15:{3,5,6}:{(6,1),(25,1),(26,1),(51,1)}
      16:{2,5}:{(7,1),(9,1),(28,1)}
      17:{1,3,6}:{(7,1),(8,1),(24,1),(28,1),(42,1)}
      18:{2,3}:{(9,1),(11,1),(22,1)}
      19:{1,3,5}:{(10,1),(11,1),(27,1),(29,1),(30,1),(45,1)}
      20:{1,2,6}:{(10,1),(28,1),(30,1)}
      21:{1,2,5}:{(12,1),(16,1),(31,1),(32,1)}
      22:{1,3}:{(12,1),(18,1)}
      23:{2,4,5}:{(13,1),(16,1),(33,1),(34,1),(36,1),(49,1),(53,1)}
      24:{1,4,6}:{(13,1),(14,1),(17,1),(34,1),(35,1)}
      25:{2,5,6}:{(14,1),(15,1),(35,1),(49,1)}
      26:{4,5,6}:{(15,1),(53,1)}
      27:{2,3,5}:{(16,1),(18,1),(19,1),(31,1),(33,1),(36,1),(37,1),(49,1)}
      28:{2,6}:{(16,1),(17,1)}
      29:{1,4}:{(19,1),(36,1)}
      30:{1,3,6}:{(19,1),(20,1),(37,1),(38,1)}
      31:{1,3,5}:{(21,1),(22,1),(27,1),(39,1),(40,1),(50,1)}
      32:{1,2,6}:{(21,1),(28,1),(40,1)}
      33:{3,5}:{(23,1),(41,1),(42,1)}
      34:{2,4,6}:{(23,1),(24,1),(28,1),(42,1),(43,1),(52,1)}
      35:{1,5,6}:{(24,1),(25,1),(43,1),(45,1),(50,1)}
      36:{2,4}:{(27,1),(29,1),(39,1),(41,1)}
      37:{2,3,6}:{(27,1),(28,1),(30,1),(40,1),(42,1),(44,1)}
      38:{1,4,6}:{(29,1),(30,1),(44,1),(45,1)}
      39:{1,4}:{(31,1),(36,1)}
      40:{1,3,6}:{(31,1),(32,1),(37,1),(46,1)}
      41:{3,4}:{(33,1),(36,1)}
      42:{3,6}:{(33,1),(34,1)}
      43:{2,5,6}:{(34,1),(35,1),(48,1),(49,1)}
      44:{2,4,6}:{(36,1),(37,1),(38,1),(46,1),(47,1),(49,1)}
      45:{1,5}:{(38,1),(49,1)}
      46:{1,4,6}:{(39,1),(40,1),(44,1),(50,1)}
      47:{3,4,6}:{(41,1),(42,1),(44,1),(51,1),(52,1)}
      48:{3,5,6}:{(42,1),(43,1),(51,1),(52,1)}
      49:{2,5}:{(44,1),(45,1),(50,1),(51,1)}
      50:{1,5}:{(46,1),(49,1)}
      51:{3,5}:{(47,1),(49,1),(53,1)}
      52:{4,6}:{(48,1),(53,1)}
      53:{4,5}:{(51,1),(52,1)}

373 :  0:{1,2,3,5}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,2,4}:{(0,1),(4,1)}
       2:{1,2,3,6}:{(0,1),(5,1),(13,1),(80,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1),(10,1),(18,1),(26,1)}
       4:{1,3,4}:{(1,1),(6,1),(8,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(9,1),(10,1),(78,1),(79,1)}
       6:{1,3,5}:{(3,1),(4,1),(12,1),(13,1)}
       7:{1,2,4,6}:{(3,1),(13,1),(14,1),(28,1),(33,1)}
       8:{2,3,4}:{(4,1),(12,1),(15,1)}
       9:{1,3,4,6}:{(4,1),(5,1),(13,1),(16,1),(17,1),(33,1),(75,1),(76,1)}
      10:{1,2,5}:{(5,1),(17,1)}
      11:{1,3,4,5}:{(6,1),(18,1),(19,1),(26,1),(47,1)}
      12:{2,3,5}:{(6,1),(8,1),(18,1),(20,1),(21,1)}
      13:{1,3,6}:{(6,1),(7,1),(21,1)}
      14:{1,2,5,6}:{(7,1),(10,1),(22,1),(39,1),(78,1)}
      15:{1,3,4}:{(8,1),(20,1),(23,1)}
      16:{2,3,4,6}:{(8,1),(9,1),(21,1),(24,1),(25,1),(43,1),(70,1),(72,1)}
      17:{1,3,5}:{(9,1),(10,1),(25,1),(26,1)}
      18:{2,4,5}:{(11,1),(12,1),(27,1),(28,1)}
      19:{1,3,4,6}:{(11,1),(13,1),(28,1),(29,1),(33,1),(52,1)}
      20:{1,3,5}:{(12,1),(15,1),(27,1),(30,1),(31,1)}
      21:{2,3,6}:{(12,1),(13,1),(28,1),(31,1)}
      22:{1,3,5,6}:{(13,1),(14,1),(17,1),(32,1),(33,1),(74,1),(75,1)}
      23:{1,2,4}:{(15,1),(30,1),(34,1)}
      24:{1,3,4,6}:{(15,1),(16,1),(31,1),(35,1),(36,1),(51,1),(64,1),(66,1)}
      25:{2,3,5}:{(16,1),(17,1),(36,1),(37,1)}
      26:{1,4,5}:{(17,1),(33,1),(37,1)}
      27:{1,4,5}:{(18,1),(20,1),(38,1)}
      28:{2,4,6}:{(18,1),(19,1),(21,1),(38,1),(39,1)}
      29:{1,3,5,6}:{(19,1),(39,1),(40,1),(57,1)}
      30:{1,2,5}:{(20,1),(23,1),(41,1)}
      31:{1,3,6}:{(20,1),(21,1),(38,1),(41,1)}
      32:{2,3,5,6}:{(21,1),(22,1),(25,1),(39,1),(42,1),(43,1),(57,1),(69,1),(70,1)}
      33:{1,4,6}:{(22,1),(26,1),(43,1)}
      34:{1,2,3}:{(23,1)}
      35:{1,2,4,6}:{(23,1),(24,1),(41,1),(44,1),(45,1),(60,1)}
      36:{1,3,5}:{(24,1),(25,1),(45,1),(46,1)}
      37:{2,4,5}:{(25,1),(26,1),(43,1),(46,1),(47,1)}
      38:{1,4,6}:{(27,1),(28,1),(31,1),(48,1)}
      39:{2,5,6}:{(28,1),(29,1),(48,1)}
      40:{1,4,5,6}:{(29,1),(33,1),(49,1),(74,1)}
      41:{1,2,6}:{(30,1),(31,1)}
      42:{1,3,5,6}:{(31,1),(32,1),(36,1),(48,1),(50,1),(51,1),(64,1)}
      43:{2,4,6}:{(32,1),(33,1),(37,1),(51,1),(52,1)}
      44:{1,2,3,6}:{(34,1),(35,1),(53,1),(64,1)}
      45:{1,2,5}:{(35,1),(36,1)}
      46:{1,4,5}:{(36,1),(37,1),(51,1)}
      47:{3,4,5}:{(37,1),(52,1)}
      48:{1,5,6}:{(38,1),(39,1)}
      49:{2,4,5,6}:{(39,1),(40,1),(43,1),(56,1),(57,1),(69,1)}
      50:{1,2,5,6}:{(41,1),(42,1),(45,1),(58,1),(69,1)}
      51:{1,4,6}:{(42,1),(43,1),(46,1)}
      52:{3,4,6}:{(43,1),(47,1),(57,1)}
      53:{1,2,3,5}:{(44,1),(45,1),(60,1),(61,1)}
      54:{1,2,4,5}:{(45,1),(46,1),(58,1),(60,1),(61,1),(62,1)}
      55:{1,3,4,5}:{(46,1),(47,1),(59,1),(61,1),(62,1)}
      56:{1,4,5,6}:{(48,1),(49,1),(51,1),(63,1)}
      57:{3,5,6}:{(49,1),(52,1)}
      58:{1,2,4,6}:{(50,1),(51,1),(54,1),(64,1),(65,1)}
      59:{1,3,4,6}:{(51,1),(52,1),(55,1),(63,1),(64,1),(65,1)}
      60:{1,2,4}:{(53,1),(66,1)}
      61:{1,3,5}:{(54,1),(64,1),(66,1),(67,1)}
      62:{2,4,5}:{(55,1),(65,1),(67,1),(68,1)}
      63:{1,3,5,6}:{(56,1),(57,1),(59,1),(69,1)}
      64:{1,3,6}:{(58,1),(61,1),(70,1)}
      65:{2,4,6}:{(59,1),(62,1),(69,1),(70,1),(71,1)}
      66:{1,3,4}:{(60,1),(61,1),(72,1)}
      67:{2,3,5}:{(61,1),(62,1),(70,1),(72,1),(73,1)}
      68:{1,4,5}:{(62,1),(71,1),(73,1)}
      69:{2,5,6}:{(63,1),(65,1),(74,1)}
      70:{2,3,6}:{(64,1),(65,1),(67,1),(75,1)}
      71:{1,4,6}:{(65,1),(68,1),(74,1),(75,1)}
      72:{2,3,4}:{(66,1),(67,1),(76,1)}
      73:{1,3,5}:{(67,1),(68,1),(75,1),(76,1),(77,1)}
      74:{1,5,6}:{(69,1),(71,1)}
      75:{1,3,6}:{(70,1),(71,1),(73,1),(78,1)}
      76:{1,3,4}:{(72,1),(73,1),(79,1)}
      77:{1,2,5}:{(73,1),(78,1),(79,1)}
      78:{1,2,6}:{(75,1),(77,1)}
      79:{1,2,4}:{(76,1),(77,1),(80,1)}
      80:{1,2,3}:{(79,1)}

374 :  0:{1,2,3,6}:{(1,1),(2,1),(31,1),(75,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(65,1),(79,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(21,1)}
       3:{1,2,3,6}:{(7,1),(8,1),(49,1),(59,1)}
       4:{1,3,4,6}:{(1,1),(9,1),(10,1),(13,1),(29,1),(31,1),(51,1),(73,1)}
       5:{1,2,5}:{(1,1),(10,1)}
       6:{1,2,4}:{(2,1),(13,1)}
       7:{1,2,4,6}:{(3,1),(14,1),(15,1),(16,1),(46,1),(69,1)}
       8:{1,2,3,5}:{(3,1),(15,1),(16,1),(37,1)}
       9:{2,3,4,6}:{(4,1),(14,1),(17,1),(22,1),(38,1),(39,1),(44,1),(63,1)}
      10:{1,3,5}:{(4,1),(5,1),(17,1),(19,1)}
      11:{1,2,5,6}:{(5,1),(18,1),(20,1),(67,1),(79,1)}
      12:{1,2,4,5}:{(5,1),(6,1),(19,1),(20,1),(21,1),(43,1)}
      13:{1,3,4}:{(6,1),(21,1),(22,1)}
      14:{1,3,4,6}:{(7,1),(9,1),(23,1),(26,1),(33,1),(47,1),(49,1),(57,1)}
      15:{1,2,5}:{(7,1),(23,1)}
      16:{1,2,4}:{(8,1),(26,1)}
      17:{2,3,5}:{(9,1),(10,1),(23,1),(28,1)}
      18:{1,3,5,6}:{(10,1),(11,1),(27,1),(29,1),(31,1),(73,1),(80,1)}
      19:{1,4,5}:{(10,1),(28,1),(29,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(29,1),(31,1),(55,1)}
      21:{1,3,5}:{(12,1),(13,1),(31,1),(32,1)}
      22:{2,3,4}:{(13,1),(32,1),(33,1)}
      23:{1,3,5}:{(14,1),(15,1),(17,1),(35,1)}
      24:{1,2,5,6}:{(15,1),(34,1),(36,1),(69,1),(77,1)}
      25:{1,2,4,5}:{(15,1),(16,1),(35,1),(36,1),(37,1),(62,1)}
      26:{1,3,4}:{(16,1),(37,1),(38,1)}
      27:{2,3,5,6}:{(17,1),(18,1),(34,1),(39,1),(44,1),(63,1),(66,1),(67,1),(77,1)}
      28:{2,4,5}:{(17,1),(19,1),(35,1),(39,1),(40,1)}
      29:{1,4,6}:{(18,1),(19,1),(39,1)}
      30:{1,3,4,5}:{(19,1),(21,1),(40,1),(42,1),(43,1)}
      31:{1,3,6}:{(20,1),(21,1),(44,1)}
      32:{2,3,5}:{(21,1),(22,1),(43,1),(44,1),(45,1)}
      33:{1,3,4}:{(22,1),(45,1),(46,1)}
      34:{1,3,5,6}:{(23,1),(24,1),(27,1),(47,1),(49,1),(57,1),(76,1)}
      35:{1,4,5}:{(23,1),(28,1),(47,1)}
      36:{1,2,4,6}:{(24,1),(25,1),(47,1),(49,1),(71,1)}
      37:{1,3,5}:{(25,1),(26,1),(49,1),(50,1)}
      38:{2,3,4}:{(26,1),(50,1),(51,1)}
      39:{2,4,6}:{(27,1),(28,1),(29,1),(47,1),(53,1)}
      40:{3,4,5}:{(28,1),(53,1)}
      41:{1,4,5,6}:{(29,1),(52,1),(54,1),(80,1)}
      42:{1,3,4,6}:{(29,1),(30,1),(31,1),(53,1),(54,1),(55,1)}
      43:{2,4,5}:{(30,1),(32,1),(55,1),(56,1)}
      44:{2,3,6}:{(31,1),(32,1),(55,1),(57,1)}
      45:{1,3,5}:{(32,1),(33,1),(56,1),(57,1),(58,1)}
      46:{1,2,4}:{(33,1),(58,1),(59,1)}
      47:{1,4,6}:{(34,1),(35,1),(39,1)}
      48:{1,3,4,5}:{(35,1),(37,1),(40,1),(61,1),(62,1)}
      49:{1,3,6}:{(36,1),(37,1),(63,1)}
      50:{2,3,5}:{(37,1),(38,1),(62,1),(63,1),(64,1)}
      51:{1,3,4}:{(38,1),(64,1),(65,1)}
      52:{2,4,5,6}:{(39,1),(41,1),(60,1),(66,1),(67,1),(77,1)}
      53:{3,4,6}:{(39,1),(40,1),(66,1)}
      54:{1,3,5,6}:{(41,1),(42,1),(66,1),(67,1)}
      55:{2,4,6}:{(42,1),(43,1),(44,1),(67,1),(68,1)}
      56:{1,4,5}:{(43,1),(45,1),(68,1)}
      57:{1,3,6}:{(44,1),(45,1),(68,1),(69,1)}
      58:{1,2,5}:{(45,1),(46,1),(69,1)}
      59:{1,2,3}:{(46,1)}
      60:{1,4,5,6}:{(47,1),(52,1),(70,1),(76,1)}
      61:{1,3,4,6}:{(47,1),(48,1),(49,1),(53,1),(70,1),(71,1)}
      62:{2,4,5}:{(48,1),(50,1),(71,1),(72,1)}
      63:{2,3,6}:{(49,1),(50,1),(71,1),(73,1)}
      64:{1,3,5}:{(50,1),(51,1),(72,1),(73,1),(74,1)}
      65:{1,2,4}:{(51,1),(74,1),(75,1)}
      66:{3,5,6}:{(52,1),(53,1)}
      67:{2,5,6}:{(54,1),(55,1),(76,1)}
      68:{1,4,6}:{(55,1),(56,1),(57,1),(76,1)}
      69:{1,2,6}:{(57,1),(58,1)}
      70:{1,3,5,6}:{(60,1),(61,1),(66,1),(77,1)}
      71:{2,4,6}:{(61,1),(62,1),(63,1),(77,1),(78,1)}
      72:{1,4,5}:{(62,1),(64,1),(78,1)}
      73:{1,3,6}:{(63,1),(64,1),(78,1),(79,1)}
      74:{1,2,5}:{(64,1),(65,1),(79,1)}
      75:{1,2,3}:{(65,1)}
      76:{1,5,6}:{(67,1),(68,1)}
      77:{2,5,6}:{(70,1),(71,1),(80,1)}
      78:{1,4,6}:{(71,1),(72,1),(73,1),(80,1)}
      79:{1,2,6}:{(73,1),(74,1)}
      80:{1,5,6}:{(77,1),(78,1)}

375 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1)}
       2:{1,2,3}:{(5,1)}
       3:{1,3,4}:{(1,1),(6,1),(7,1)}
       4:{1,2,5}:{(1,1),(7,1),(8,1)}
       5:{1,2,4}:{(2,1),(9,1),(10,1)}
       6:{2,3,4}:{(3,1),(9,1),(11,1)}
       7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
       8:{1,2,6}:{(4,1),(13,1)}
       9:{1,3,4}:{(5,1),(6,1),(14,1)}
      10:{1,2,5}:{(5,1),(14,1),(15,1)}
      11:{2,3,5}:{(6,1),(7,1),(14,1),(16,1),(17,1)}
      12:{1,4,5}:{(7,1),(16,1),(18,1)}
      13:{1,3,6}:{(7,1),(8,1),(17,1),(18,1)}
      14:{1,3,5}:{(9,1),(10,1),(11,1),(19,1),(20,1)}
      15:{1,2,6}:{(10,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(19,1),(21,1),(22,1)}
      17:{2,3,6}:{(11,1),(13,1),(20,1),(22,1)}
      18:{1,4,6}:{(12,1),(13,1),(22,1),(23,1)}
      19:{1,4,5}:{(14,1),(16,1),(24,1)}
      20:{1,3,6}:{(14,1),(15,1),(17,1),(24,1)}
      21:{3,4,5}:{(16,1),(25,1)}
      22:{2,4,6}:{(16,1),(17,1),(18,1),(24,1),(25,1),(26,1)}
      23:{1,5,6}:{(18,1),(26,1)}
      24:{1,4,6}:{(19,1),(20,1),(22,1),(27,1)}
      25:{3,4,6}:{(21,1),(22,1),(28,1)}
      26:{2,5,6}:{(22,1),(23,1),(27,1),(28,1)}
      27:{1,5,6}:{(24,1),(26,1)}
      28:{3,5,6}:{(25,1),(26,1),(29,1)}
      29:{4,5,6}:{(28,1)}

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

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

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

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

380 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(42,1)}
       1:{1,3,4,5}:{(0,1),(3,1),(4,1),(11,1),(40,1),(41,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(26,1),(39,1)}
       3:{2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,3,4,6}:{(1,1),(2,1),(8,1),(9,1),(20,1),(35,1),(37,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(10,1)}
       6:{1,2,4,5}:{(3,1),(11,1),(12,1),(25,1),(38,1),(40,1)}
       7:{2,3,5}:{(3,1),(11,1),(13,1),(14,1)}
       8:{2,4,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(15,1),(16,1),(31,1)}
      10:{2,4,5,6}:{(5,1),(16,1),(17,1),(39,1)}
      11:{1,3,5}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
      12:{1,2,4,6}:{(6,1),(8,1),(20,1),(21,1),(32,1),(35,1)}
      13:{2,3,4}:{(7,1),(19,1)}
      14:{2,3,6}:{(7,1),(8,1),(20,1)}
      15:{2,5,6}:{(8,1),(9,1)}
      16:{1,4,5,6}:{(9,1),(10,1),(24,1),(35,1)}
      17:{3,4,5,6}:{(10,1),(43,1)}
      18:{2,3,5}:{(11,1),(25,1),(26,1),(38,1)}
      19:{1,3,4}:{(11,1),(13,1),(25,1)}
      20:{1,3,6}:{(11,1),(12,1),(14,1),(26,1)}
      21:{1,2,5,6}:{(12,1),(15,1),(28,1),(38,1)}
      22:{2,3,4,6}:{(13,1),(14,1),(27,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(14,1),(15,1),(28,1),(29,1),(30,1),(31,1)}
      24:{2,4,5,6}:{(15,1),(16,1),(30,1),(31,1)}
      25:{2,4}:{(18,1),(19,1)}
      26:{2,3,6}:{(18,1),(20,1),(32,1)}
      27:{1,3,4,6}:{(19,1),(20,1),(22,1),(32,1),(34,1),(35,1),(43,1)}
      28:{1,3,5,6}:{(20,1),(21,1),(23,1),(33,1),(34,1),(35,1)}
      29:{2,3,5}:{(22,1),(34,1),(36,1)}
      30:{2,4,6}:{(23,1),(35,1),(36,1),(37,1)}
      31:{3,5,6}:{(24,1),(37,1)}
      32:{2,4,6}:{(25,1),(26,1),(27,1),(38,1)}
      33:{2,3,5,6}:{(26,1),(28,1),(38,1),(39,1),(44,1)}
      34:{1,3,5}:{(27,1),(29,1),(38,1),(40,1),(44,1)}
      35:{1,4,6}:{(28,1),(30,1),(39,1),(40,1)}
      36:{2,4,5}:{(29,1),(30,1),(40,1),(41,1)}
      37:{3,4,6}:{(30,1),(31,1),(41,1)}
      38:{2,5}:{(32,1),(34,1)}
      39:{2,4,6}:{(33,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(34,1),(35,1),(36,1),(42,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,4,6}:{(39,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

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

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

383 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

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

385 :  0:{1,3,4,5,6}:{(1,1),(5,1),(15,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(9,1),(20,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,4,5,6}:{(1,1),(5,1),(26,1)}
       4:{2,3,4,6}:{(2,1),(7,1),(8,1),(20,1),(30,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,4,5,6}:{(3,1),(9,1),(10,1),(17,1),(20,1),(33,1),(39,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(27,1),(34,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(11,1),(12,1),(24,1),(26,1)}
       9:{2,5,6}:{(5,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(14,1),(15,1),(24,1),(37,1)}
      11:{1,3,4,5}:{(7,1),(8,1),(16,1),(28,1),(33,1)}
      12:{2,4,6}:{(8,1),(9,1),(16,1),(18,1)}
      13:{1,2,5,6}:{(9,1),(17,1),(19,1),(39,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(18,1),(19,1),(20,1),(30,1),(32,1),(39,1)}
      15:{1,3,4,6}:{(10,1),(20,1),(21,1)}
      16:{2,4,5}:{(11,1),(12,1),(23,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(22,1),(24,1),(26,1),(36,1)}
      18:{2,3,6}:{(12,1),(23,1),(24,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(24,1),(26,1),(37,1)}
      20:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(37,1)}
      22:{1,2,4,5}:{(16,1),(17,1),(28,1),(33,1),(38,1),(39,1)}
      23:{2,3,5}:{(16,1),(18,1),(28,1),(29,1)}
      24:{1,3,6}:{(17,1),(18,1),(28,1),(30,1)}
      25:{2,3,4,6}:{(18,1),(20,1),(29,1),(31,1),(32,1)}
      26:{1,4,6}:{(19,1),(20,1),(33,1)}
      27:{2,4,5}:{(20,1),(21,1),(32,1),(33,1),(39,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(34,1),(35,1)}
      29:{2,3,4}:{(23,1),(35,1)}
      30:{2,3,6}:{(24,1),(34,1),(36,1)}
      31:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(36,1),(37,1)}
      32:{2,3,5}:{(25,1),(27,1),(37,1)}
      33:{1,4,5}:{(26,1),(27,1),(37,1)}
      34:{2,3,5}:{(28,1),(30,1),(38,1),(39,1)}
      35:{1,3,4}:{(28,1),(29,1),(38,1)}
      36:{2,4,6}:{(30,1),(31,1),(38,1),(39,1)}
      37:{1,3,5}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,4}:{(34,1),(35,1)}
      39:{2,5}:{(36,1),(37,1)}

386 :   0:{1,2,5,6}:{(2,1),(3,1),(44,1),(75,1),(85,1),(117,1),(123,1)}
        1:{1,2,4,5}:{(3,1),(4,1),(14,1),(18,1),(44,1),(48,1),(76,1),(83,1),(117,1),(122,1),(154,1)}
        2:{1,3,5,6}:{(0,1),(6,1),(7,1),(8,1),(27,1),(55,1),(96,1),(137,1)}
        3:{1,2,4,6}:{(0,1),(1,1),(7,1),(8,1),(28,1),(66,1),(105,1),(140,1)}
        4:{1,3,5}:{(1,1),(8,1),(9,1),(10,1),(99,1),(141,1)}
        5:{1,2,5,6}:{(11,1),(12,1),(46,1),(73,1),(86,1),(116,1),(123,1)}
        6:{2,3,5,6}:{(2,1),(11,1),(13,1),(16,1),(37,1),(39,1),(44,1),(73,1),(123,1),(124,1),(156,1)}
        7:{1,4,6}:{(2,1),(13,1),(14,1),(154,1)}
        8:{1,3,6}:{(3,1),(4,1),(16,1),(156,1)}
        9:{1,3,4}:{(4,1),(18,1),(154,1),(157,1)}
       10:{2,3,5}:{(4,1),(16,1),(18,1),(19,1),(44,1),(83,1),(84,1)}
       11:{1,3,5,6}:{(5,1),(6,1),(21,1),(22,1),(29,1),(53,1),(64,1),(108,1)}
       12:{1,2,4,6}:{(5,1),(20,1),(21,1),(22,1),(54,1),(133,1),(140,1),(163,1)}
       13:{2,4,6}:{(6,1),(7,1),(21,1),(23,1),(24,1),(143,1)}
       14:{1,4,5}:{(7,1),(23,1),(27,1),(96,1)}
       15:{1,3,4,6}:{(7,1),(8,1),(9,1),(24,1),(27,1),(28,1)}
       16:{2,3,6}:{(8,1),(10,1),(28,1),(29,1),(105,1)}
       17:{1,3,4,5}:{(9,1),(27,1),(30,1),(31,1),(56,1),(61,1),(101,1),(110,1),(141,1),(146,1)}
       18:{2,4}:{(9,1),(10,1),(32,1)}
       19:{1,3,5}:{(10,1),(29,1),(32,1),(33,1),(64,1),(68,1)}
       20:{1,2,4,5}:{(12,1),(34,1),(35,1),(70,1),(73,1),(86,1),(114,1),(122,1),(128,1),(147,1),(149,1)}
       21:{1,4,6}:{(11,1),(13,1),(35,1),(128,1)}
       22:{1,3,6}:{(12,1),(34,1),(37,1),(156,1)}
       23:{2,4,5}:{(13,1),(14,1),(35,1),(39,1),(44,1),(73,1)}
       24:{3,4,6}:{(13,1),(39,1),(156,1),(157,1)}
       25:{2,3,4}:{(18,1),(41,1),(42,1),(84,1),(126,1),(157,1)}
       26:{1,4,5,6}:{(14,1),(38,1),(43,1),(116,1),(121,1),(160,1)}
       27:{1,3,5}:{(14,1),(15,1),(39,1),(44,1)}
       28:{2,4,6}:{(15,1),(16,1),(18,1),(44,1),(45,1)}
       29:{1,3,6}:{(16,1),(19,1),(45,1),(46,1)}
       30:{1,3,4,6}:{(17,1),(43,1),(47,1),(77,1),(82,1),(121,1),(156,1)}
       31:{2,4,5}:{(17,1),(18,1),(41,1),(44,1),(47,1),(48,1),(83,1),(126,1),(159,1)}
       32:{1,4}:{(18,1),(19,1)}
       33:{1,2,5}:{(19,1),(46,1),(49,1),(83,1)}
       34:{1,3,5}:{(20,1),(22,1),(50,1),(51,1),(141,1),(162,1)}
       35:{1,4,5}:{(21,1),(23,1),(53,1),(64,1)}
       36:{1,3,4,6}:{(21,1),(22,1),(24,1),(50,1),(53,1),(54,1)}
       37:{2,3,6}:{(22,1),(51,1),(54,1),(55,1),(163,1)}
       38:{2,4,5,6}:{(23,1),(26,1),(52,1),(57,1),(63,1),(95,1),(100,1),(140,1),(170,1)}
       39:{3,5}:{(23,1),(24,1)}
       40:{2,3,4,6}:{(24,1),(25,1),(28,1),(54,1),(58,1),(59,1),(60,1),(90,1),(100,1),(104,1),(130,1),(143,1),(144,1),(169,1),(180,1)}
       41:{2,3,5}:{(25,1),(31,1),(60,1),(61,1),(141,1)}
       42:{1,3,4}:{(25,1),(32,1),(61,1),(62,1),(68,1),(99,1),(139,1)}
       43:{1,3,5,6}:{(26,1),(27,1),(30,1),(57,1),(63,1),(146,1)}
       44:{2,5}:{(27,1),(28,1),(64,1)}
       45:{1,4,6}:{(28,1),(29,1),(32,1),(64,1)}
       46:{1,2,6}:{(29,1),(33,1),(105,1)}
       47:{2,4,6}:{(30,1),(31,1),(60,1),(63,1),(66,1),(105,1)}
       48:{1,4,5}:{(31,1),(32,1),(61,1),(64,1),(66,1),(139,1),(168,1)}
       49:{1,2,4}:{(32,1),(33,1),(62,1),(68,1)}
       50:{1,3,4}:{(34,1),(70,1),(128,1),(157,1)}
       51:{2,3,5}:{(34,1),(37,1),(70,1),(71,1),(73,1),(149,1),(150,1)}
       52:{1,4,5,6}:{(35,1),(38,1),(72,1),(85,1),(121,1),(176,1)}
       53:{1,3,5}:{(35,1),(36,1),(39,1),(73,1)}
       54:{2,4,6}:{(36,1),(37,1),(70,1),(73,1),(74,1)}
       55:{1,3,6}:{(37,1),(71,1),(74,1),(75,1)}
       56:{3,4,5}:{(39,1),(77,1),(78,1),(157,1),(177,1)}
       57:{3,5,6}:{(38,1),(39,1),(77,1),(156,1),(177,1)}
       58:{2,3,5}:{(39,1),(40,1),(44,1),(73,1),(78,1),(80,1),(159,1),(177,1),(183,1)}
       59:{1,3,4,6}:{(40,1),(42,1),(45,1),(74,1),(80,1),(81,1),(82,1),(87,1),(112,1),(118,1),(121,1),(128,1),(148,1),(154,1),(155,1),(156,1),(157,1),(182,1)}
       60:{2,3,6}:{(41,1),(47,1),(82,1),(156,1)}
       61:{1,3,5}:{(41,1),(42,1),(48,1),(82,1),(83,1)}
       62:{2,4}:{(42,1),(83,1),(84,1)}
       63:{2,5,6}:{(43,1),(44,1),(47,1),(85,1),(159,1)}
       64:{1,5}:{(44,1),(45,1)}
       65:{1,2,4,6}:{(45,1),(46,1),(49,1),(81,1),(86,1),(87,1),(128,1),(147,1),(171,1),(182,1)}
       66:{1,4,6}:{(47,1),(48,1),(82,1),(85,1)}
       67:{1,2,4,5}:{(48,1),(49,1),(83,1),(86,1),(88,1),(89,1),(122,1),(126,1),(128,1),(159,1),(160,1)}
       68:{1,3}:{(49,1),(84,1)}
       69:{1,3,4,5}:{(50,1),(53,1),(56,1),(91,1),(92,1),(101,1),(131,1),(141,1),(166,1),(181,1)}
       70:{2,4}:{(50,1),(51,1),(93,1)}
       71:{1,3,5}:{(51,1),(55,1),(93,1),(94,1),(96,1),(135,1)}
       72:{1,3,5,6}:{(52,1),(53,1),(57,1),(91,1),(95,1),(181,1)}
       73:{2,5}:{(53,1),(54,1),(96,1)}
       74:{1,4,6}:{(54,1),(55,1),(93,1),(96,1)}
       75:{1,2,6}:{(55,1),(94,1),(163,1)}
       76:{1,2,4}:{(62,1),(98,1),(99,1),(139,1)}
       77:{3,4,6}:{(56,1),(57,1),(100,1)}
       78:{2,4,5}:{(56,1),(58,1),(100,1),(101,1),(143,1)}
       79:{2,3,5,6}:{(57,1),(58,1),(60,1),(63,1),(95,1),(100,1),(102,1),(130,1)}
       80:{1,3,5}:{(58,1),(59,1),(64,1),(96,1),(101,1),(103,1),(141,1),(168,1),(184,1)}
       81:{2,4,6}:{(59,1),(62,1),(103,1),(104,1),(105,1),(132,1),(143,1),(163,1)}
       82:{1,3,6}:{(60,1),(61,1),(66,1),(105,1)}
       83:{2,5}:{(61,1),(62,1),(105,1)}
       84:{2,3}:{(62,1),(68,1),(99,1)}
       85:{1,5,6}:{(63,1),(64,1),(66,1),(168,1)}
       86:{1,2,5}:{(64,1),(65,1),(103,1),(108,1),(184,1)}
       87:{1,3,6}:{(65,1),(68,1),(104,1),(108,1),(162,1)}
       88:{1,2,4,6}:{(66,1),(67,1),(105,1),(107,1),(109,1),(140,1),(144,1),(145,1)}
       89:{1,3,5}:{(67,1),(68,1),(106,1),(109,1),(110,1),(141,1)}
       90:{2,3,4}:{(70,1),(111,1),(112,1),(150,1),(157,1),(174,1)}
       91:{1,3,4,6}:{(69,1),(72,1),(77,1),(113,1),(121,1),(148,1),(156,1)}
       92:{2,4,5}:{(69,1),(70,1),(73,1),(111,1),(113,1),(114,1),(149,1),(174,1),(183,1)}
       93:{1,4}:{(70,1),(71,1)}
       94:{1,2,5}:{(71,1),(75,1),(115,1),(149,1)}
       95:{2,5,6}:{(72,1),(73,1),(113,1),(116,1),(183,1)}
       96:{1,5}:{(73,1),(74,1)}
       97:{1,2,4,6}:{(74,1),(75,1),(76,1),(81,1),(115,1),(117,1),(118,1),(119,1),(154,1),(155,1)}
       98:{1,2,5}:{(76,1),(83,1),(119,1),(120,1)}
       99:{1,3}:{(76,1),(84,1)}
      100:{2,4,6}:{(77,1),(78,1),(79,1),(121,1)}
      101:{1,4,5}:{(78,1),(80,1),(121,1),(122,1),(128,1),(154,1)}
      102:{1,3,5,6}:{(79,1),(80,1),(82,1),(85,1),(116,1),(121,1),(123,1),(148,1),(156,1)}
      103:{2,5}:{(80,1),(81,1)}
      104:{2,3,6}:{(81,1),(84,1),(87,1),(118,1),(124,1),(150,1),(156,1)}
      105:{2,6}:{(82,1),(83,1)}
      106:{2,3,5}:{(83,1),(84,1),(89,1),(120,1),(125,1),(126,1),(159,1)}
      107:{1,2,5,6}:{(85,1),(86,1),(88,1),(123,1),(127,1),(159,1),(171,1)}
      108:{1,3,5}:{(86,1),(87,1),(124,1),(128,1)}
      109:{1,3,6}:{(88,1),(89,1),(125,1),(156,1)}
      110:{1,3,4}:{(89,1),(126,1),(128,1),(157,1)}
      111:{2,3,5}:{(90,1),(92,1),(130,1),(131,1),(141,1)}
      112:{1,3,4}:{(90,1),(93,1),(131,1),(132,1),(135,1),(162,1),(179,1)}
      113:{2,4,6}:{(91,1),(92,1),(95,1),(130,1),(133,1),(163,1)}
      114:{1,4,5}:{(92,1),(93,1),(96,1),(131,1),(133,1),(179,1),(184,1)}
      115:{1,2,4}:{(93,1),(94,1),(132,1),(135,1)}
      116:{1,5,6}:{(95,1),(96,1),(133,1),(184,1)}
      117:{1,2,5}:{(96,1),(97,1),(103,1),(137,1),(168,1)}
      118:{1,3,6}:{(97,1),(99,1),(104,1),(135,1),(137,1)}
      119:{1,2,6}:{(98,1),(105,1),(138,1)}
      120:{1,3,5}:{(98,1),(99,1),(106,1),(138,1),(139,1),(168,1)}
      121:{1,4,6}:{(100,1),(101,1),(102,1),(140,1)}
      122:{2,4,5}:{(101,1),(103,1),(140,1),(141,1),(143,1)}
      123:{2,5,6}:{(102,1),(103,1),(105,1),(140,1),(163,1)}
      124:{2,3,5}:{(103,1),(104,1),(108,1),(137,1),(141,1),(143,1)}
      125:{2,3,6}:{(105,1),(106,1),(109,1),(138,1),(144,1)}
      126:{2,4}:{(106,1),(110,1),(139,1)}
      127:{1,3,5,6}:{(107,1),(108,1),(109,1),(142,1),(145,1),(146,1),(178,1),(184,1)}
      128:{1,4}:{(108,1),(143,1)}
      129:{1,3,4,6}:{(109,1),(110,1),(144,1),(145,1),(146,1),(169,1)}
      130:{2,3,6}:{(111,1),(113,1),(148,1),(156,1)}
      131:{1,3,5}:{(111,1),(112,1),(114,1),(148,1),(149,1)}
      132:{2,4}:{(112,1),(149,1),(150,1)}
      133:{1,4,6}:{(113,1),(114,1),(116,1),(148,1)}
      134:{1,2,4,5}:{(114,1),(115,1),(117,1),(122,1),(149,1),(151,1),(152,1),(154,1),(174,1),(176,1),(183,1)}
      135:{1,3}:{(115,1),(150,1)}
      136:{1,2,5,6}:{(116,1),(117,1),(119,1),(123,1),(151,1),(153,1),(183,1)}
      137:{1,3,5}:{(117,1),(118,1),(124,1),(154,1)}
      138:{1,3,6}:{(119,1),(120,1),(125,1),(155,1)}
      139:{1,4}:{(120,1),(126,1)}
      140:{2,4,6}:{(121,1),(122,1),(123,1),(156,1)}
      141:{3,5}:{(122,1),(156,1),(157,1)}
      142:{2,3,5,6}:{(123,1),(124,1),(125,1),(127,1),(153,1),(156,1),(158,1),(159,1),(173,1),(177,1),(183,1)}
      143:{2,4}:{(124,1),(128,1),(154,1),(157,1)}
      144:{2,4,6}:{(125,1),(126,1),(129,1),(155,1),(159,1)}
      145:{1,4,6}:{(127,1),(128,1),(158,1),(160,1)}
      146:{1,3,5}:{(129,1),(159,1),(160,1),(177,1)}
      147:{1,2,4}:{(132,1),(161,1),(162,1),(179,1)}
      148:{1,3,6}:{(130,1),(131,1),(133,1),(163,1)}
      149:{2,5}:{(131,1),(132,1),(163,1)}
      150:{2,3}:{(132,1),(135,1),(162,1)}
      151:{1,2,4,6}:{(133,1),(134,1),(136,1),(140,1),(163,1),(165,1),(167,1),(180,1)}
      152:{1,3,5}:{(134,1),(135,1),(141,1),(164,1),(165,1),(166,1)}
      153:{1,3,5,6}:{(136,1),(137,1),(138,1),(142,1),(165,1),(167,1),(168,1),(181,1)}
      154:{1,4}:{(137,1),(143,1)}
      155:{1,4,6}:{(138,1),(139,1),(144,1),(168,1)}
      156:{3,6}:{(140,1),(141,1)}
      157:{3,4}:{(141,1),(143,1)}
      158:{2,4,6}:{(142,1),(143,1),(145,1),(167,1),(169,1),(170,1)}
      159:{2,5}:{(144,1),(146,1),(168,1)}
      160:{1,4,5}:{(145,1),(146,1),(170,1),(184,1)}
      161:{1,2,5}:{(147,1),(149,1),(171,1),(172,1)}
      162:{1,3}:{(147,1),(150,1)}
      163:{2,6}:{(148,1),(149,1)}
      164:{2,3,5}:{(149,1),(150,1),(152,1),(172,1),(173,1),(174,1),(183,1)}
      165:{1,3,6}:{(151,1),(152,1),(156,1),(173,1)}
      166:{1,3,4}:{(152,1),(154,1),(157,1),(174,1)}
      167:{1,4,6}:{(153,1),(154,1),(158,1),(176,1)}
      168:{1,5}:{(155,1),(159,1)}
      169:{3,4,6}:{(156,1),(157,1),(158,1),(177,1)}
      170:{2,4,5}:{(158,1),(159,1),(160,1),(176,1),(177,1),(183,1)}
      171:{1,2,6}:{(161,1),(163,1),(178,1)}
      172:{1,3,5}:{(161,1),(162,1),(164,1),(178,1),(179,1),(184,1)}
      173:{2,3,6}:{(163,1),(164,1),(165,1),(178,1),(180,1)}
      174:{2,4}:{(164,1),(166,1),(179,1)}
      175:{1,3,4,6}:{(165,1),(166,1),(167,1),(169,1),(180,1),(181,1)}
      176:{1,4,5}:{(167,1),(168,1),(170,1),(181,1)}
      177:{3,5}:{(169,1),(170,1)}
      178:{1,3,6}:{(171,1),(172,1),(173,1),(182,1)}
      179:{1,4}:{(172,1),(174,1)}
      180:{2,4,6}:{(173,1),(174,1),(175,1),(182,1),(183,1)}
      181:{1,3,5}:{(175,1),(176,1),(177,1),(183,1)}
      182:{1,4,6}:{(178,1),(179,1),(180,1),(184,1)}
      183:{2,5}:{(180,1),(181,1),(184,1)}
      184:{1,5}:{(182,1),(183,1)}

387 :  0:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       1:{1,2,5}:{(0,1),(5,1),(17,1),(27,1)}
       2:{1,3,6}:{(0,1),(4,1),(5,1),(44,1)}
       3:{1,2,6}:{(7,1),(8,1),(43,1)}
       4:{2,3,6}:{(2,1),(8,1),(9,1),(10,1),(38,1),(43,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(11,1),(34,1),(42,1)}
       6:{1,3,4,6}:{(2,1),(10,1),(11,1),(12,1),(23,1),(26,1),(38,1)}
       7:{1,2,5}:{(3,1),(13,1),(14,1),(40,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(14,1),(16,1),(17,1),(28,1),(32,1),(40,1)}
      10:{2,4,6}:{(4,1),(6,1),(15,1),(16,1),(17,1)}
      11:{1,4}:{(5,1),(16,1)}
      12:{1,3,5}:{(6,1),(17,1),(18,1),(32,1)}
      13:{1,2,4}:{(7,1),(20,1),(21,1),(35,1)}
      14:{1,3,5}:{(7,1),(8,1),(9,1),(20,1),(21,1),(22,1)}
      15:{1,4,6}:{(8,1),(10,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(11,1),(21,1),(23,1)}
      17:{2,5}:{(10,1),(12,1),(22,1)}
      18:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(42,1)}
      19:{1,3,5,6}:{(12,1),(25,1),(26,1),(38,1)}
      20:{1,3}:{(13,1),(28,1)}
      21:{1,4}:{(14,1),(16,1)}
      22:{1,5}:{(15,1),(17,1)}
      23:{3,4}:{(16,1),(32,1)}
      24:{2,4,5}:{(16,1),(17,1),(18,1),(30,1),(32,1),(33,1),(40,1)}
      25:{2,5,6}:{(17,1),(19,1),(31,1),(33,1)}
      26:{1,4,6}:{(18,1),(19,1),(33,1),(44,1)}
      27:{1,2}:{(34,1)}
      28:{2,3}:{(20,1),(34,1),(35,1)}
      29:{1,3,4}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
      30:{1,4,5}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
      31:{1,5,6}:{(22,1),(25,1),(37,1)}
      32:{3,5}:{(23,1),(24,1),(38,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(37,1),(38,1),(43,1)}
      34:{1,3}:{(27,1),(28,1),(39,1)}
      35:{2,4}:{(28,1),(29,1),(39,1),(40,1)}
      36:{1,3,5}:{(29,1),(30,1),(32,1),(40,1),(41,1)}
      37:{1,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{3,6}:{(32,1),(33,1)}
      39:{1,4}:{(34,1),(35,1),(42,1)}
      40:{2,5}:{(35,1),(36,1),(42,1),(43,1)}
      41:{1,3,6}:{(36,1),(37,1),(38,1),(43,1)}
      42:{1,5}:{(39,1),(40,1),(44,1)}
      43:{2,6}:{(40,1),(41,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

388 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(4,1),(5,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(3,1),(5,1),(6,1)}
       3:{2,4,5}:{(2,1),(7,1),(8,1),(16,1),(28,1)}
       4:{2,5,6}:{(1,1),(9,1),(16,1),(25,1)}
       5:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       6:{3,4,6}:{(2,1),(8,1)}
       7:{1,4,5}:{(3,1),(5,1),(11,1),(12,1),(21,1),(26,1)}
       8:{3,5}:{(3,1),(6,1),(29,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1),(19,1),(22,1),(26,1),(29,1)}
      11:{2,4,5}:{(7,1),(9,1),(15,1),(16,1),(23,1)}
      12:{1,3,5}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
      13:{3,6}:{(9,1),(15,1)}
      14:{2,4,6}:{(10,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(13,1),(19,1)}
      16:{2,5}:{(12,1),(14,1),(21,1)}
      17:{2,3,6}:{(13,1),(14,1),(20,1),(22,1),(29,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,5}:{(16,1),(18,1)}
      22:{1,3,6}:{(17,1),(18,1),(24,1),(25,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(22,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

389 :  0:{3,4,5,6}:{(2,1),(42,1)}
       1:{2,3,4,5}:{(3,1),(4,1),(25,1),(43,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1),(39,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1),(30,1),(39,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1),(18,1),(29,1),(40,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(9,1)}
       6:{1,4,5,6}:{(2,1),(9,1),(10,1),(35,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(9,1),(11,1),(22,1),(23,1),(35,1)}
       8:{2,4,5}:{(4,1),(11,1),(13,1)}
       9:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1),(15,1)}
      10:{2,4,5,6}:{(6,1),(14,1),(15,1),(28,1)}
      11:{2,4,6}:{(7,1),(8,1),(14,1),(17,1)}
      12:{1,2,4,5}:{(8,1),(16,1),(18,1),(33,1),(40,1),(41,1)}
      13:{2,3,5}:{(8,1),(17,1),(18,1),(19,1)}
      14:{2,5,6}:{(9,1),(11,1)}
      15:{3,5,6}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(20,1),(23,1),(35,1),(37,1)}
      17:{2,3,6}:{(11,1),(13,1),(23,1)}
      18:{1,3,5}:{(12,1),(13,1),(23,1),(25,1),(26,1)}
      19:{2,3,4}:{(13,1),(26,1)}
      20:{1,2,5,6}:{(14,1),(16,1),(27,1),(41,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(17,1),(27,1),(28,1),(32,1)}
      22:{3,4,6}:{(15,1),(28,1),(29,1)}
      23:{1,3,6}:{(16,1),(17,1),(18,1),(30,1)}
      24:{2,3,4,6}:{(17,1),(19,1),(28,1),(31,1),(32,1)}
      25:{2,3,5}:{(18,1),(30,1),(33,1),(41,1)}
      26:{1,3,4}:{(18,1),(19,1),(33,1)}
      27:{1,3,5,6}:{(20,1),(21,1),(23,1),(34,1),(35,1),(38,1)}
      28:{2,4,6}:{(21,1),(22,1),(35,1),(36,1)}
      29:{3,4,5}:{(22,1),(36,1)}
      30:{2,3,6}:{(23,1),(25,1),(37,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(26,1),(35,1),(37,1),(38,1),(42,1)}
      32:{2,3,5}:{(24,1),(36,1),(38,1)}
      33:{2,4}:{(25,1),(26,1)}
      34:{2,3,5,6}:{(27,1),(30,1),(39,1),(41,1),(44,1)}
      35:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      36:{2,4,5}:{(28,1),(29,1),(32,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{1,3,5}:{(31,1),(32,1),(40,1),(41,1),(44,1)}
      39:{2,4,6}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(35,1),(36,1),(38,1),(43,1)}
      41:{2,5}:{(37,1),(38,1)}
      42:{3,4,6}:{(39,1),(44,1)}
      43:{2,4,5}:{(39,1),(40,1),(41,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

390 :   0:{2,3,4,6}:{(1,1),(2,1),(12,1),(32,1),(71,1),(82,1),(84,1),(110,1),(116,1)}
        1:{1,3,4,6}:{(0,1),(5,1),(6,1),(21,1),(25,1),(56,1),(61,1),(63,1),(104,1),(105,1),(136,1)}
        2:{2,3,5}:{(0,1),(6,1),(7,1),(130,1),(135,1)}
        3:{2,3,4,6}:{(8,1),(9,1),(13,1),(31,1),(44,1),(81,1),(111,1),(113,1),(116,1)}
        4:{2,3,5,6}:{(2,1),(11,1),(12,1),(40,1),(79,1),(82,1)}
        5:{2,4,6}:{(1,1),(13,1),(14,1),(44,1),(125,1),(126,1)}
        6:{1,3,5}:{(1,1),(2,1),(14,1),(15,1),(45,1),(152,1)}
        7:{2,4,5}:{(2,1),(12,1),(15,1),(16,1),(71,1)}
        8:{1,3,4,6}:{(3,1),(18,1),(19,1),(21,1),(49,1),(56,1),(89,1),(91,1),(132,1),(133,1),(136,1)}
        9:{2,3,5}:{(3,1),(19,1),(20,1),(102,1),(135,1)}
       10:{1,2,4,6}:{(5,1),(18,1),(21,1),(22,1),(56,1),(136,1),(137,1),(138,1)}
       11:{1,3,5,6}:{(4,1),(6,1),(24,1),(25,1),(61,1),(101,1),(104,1)}
       12:{2,4,6}:{(4,1),(7,1),(25,1),(26,1)}
       13:{2,3,6}:{(5,1),(21,1),(27,1),(61,1),(144,1)}
       14:{2,5}:{(5,1),(6,1)}
       15:{1,4,5}:{(6,1),(7,1),(25,1),(28,1),(56,1)}
       16:{3,4,5}:{(7,1),(26,1),(91,1),(130,1)}
       17:{2,3,5,6}:{(9,1),(30,1),(31,1),(67,1),(108,1),(111,1)}
       18:{2,4,6}:{(8,1),(32,1),(33,1),(71,1),(150,1),(151,1)}
       19:{1,3,5}:{(8,1),(9,1),(33,1),(34,1),(72,1),(152,1)}
       20:{2,4,5}:{(9,1),(31,1),(34,1),(35,1),(44,1)}
       21:{1,3,6}:{(10,1),(13,1),(32,1),(37,1),(154,1)}
       22:{1,2,5}:{(10,1),(14,1),(33,1),(37,1),(152,1)}
       23:{2,4,5,6}:{(12,1),(39,1),(40,1),(79,1),(109,1),(156,1)}
       24:{2,5,6}:{(11,1),(14,1),(42,1),(125,1)}
       25:{1,4,6}:{(11,1),(12,1),(15,1),(42,1)}
       26:{3,4,6}:{(12,1),(16,1),(40,1)}
       27:{2,3,5}:{(13,1),(14,1),(37,1),(44,1),(45,1)}
       28:{2,4,5}:{(14,1),(15,1),(42,1),(44,1),(45,1)}
       29:{1,3,4,5}:{(15,1),(16,1),(43,1),(45,1),(46,1),(76,1),(85,1),(115,1),(120,1),(155,1),(175,1)}
       30:{1,3,5,6}:{(17,1),(19,1),(48,1),(49,1),(89,1),(129,1),(132,1)}
       31:{2,4,6}:{(17,1),(20,1),(49,1),(50,1)}
       32:{2,3,6}:{(18,1),(21,1),(51,1),(89,1),(164,1)}
       33:{2,5}:{(18,1),(19,1)}
       34:{1,4,5}:{(19,1),(20,1),(49,1),(52,1),(56,1)}
       35:{3,4,5}:{(20,1),(50,1),(63,1),(102,1)}
       36:{1,2,5,6}:{(22,1),(24,1),(48,1),(54,1),(55,1),(101,1),(129,1),(135,1),(137,1),(141,1),(161,1),(165,1)}
       37:{1,3,5}:{(21,1),(22,1),(27,1),(51,1),(56,1)}
       38:{1,2,4,5}:{(22,1),(28,1),(52,1),(55,1),(56,1),(57,1),(65,1),(93,1),(94,1),(97,1),(106,1),(134,1),(135,1),(138,1),(165,1),(167,1),(177,1),(180,1)}
       39:{1,4,5,6}:{(23,1),(25,1),(58,1),(59,1),(94,1),(101,1),(140,1)}
       40:{3,5,6}:{(23,1),(26,1),(130,1),(168,1)}
       41:{2,3,5,6}:{(24,1),(27,1),(54,1),(60,1),(61,1),(96,1),(102,1),(135,1),(161,1),(178,1),(179,1)}
       42:{2,4,6}:{(24,1),(25,1),(28,1),(61,1)}
       43:{1,3,4,6}:{(25,1),(26,1),(29,1),(59,1),(61,1),(62,1),(99,1),(104,1),(140,1),(168,1)}
       44:{2,4}:{(27,1),(56,1),(63,1)}
       45:{3,5}:{(28,1),(61,1),(63,1)}
       46:{2,4,5}:{(29,1),(62,1),(64,1),(65,1),(97,1),(106,1),(135,1)}
       47:{2,4,5,6}:{(31,1),(66,1),(67,1),(80,1),(108,1),(171,1)}
       48:{2,5,6}:{(30,1),(33,1),(69,1),(150,1)}
       49:{1,4,6}:{(30,1),(31,1),(34,1),(69,1)}
       50:{3,4,6}:{(31,1),(35,1),(67,1)}
       51:{2,3,5}:{(32,1),(33,1),(37,1),(71,1),(72,1)}
       52:{2,4,5}:{(33,1),(34,1),(69,1),(71,1),(72,1)}
       53:{1,3,4,5}:{(34,1),(35,1),(70,1),(72,1),(73,1),(76,1),(114,1),(115,1),(145,1),(170,1),(182,1)}
       54:{1,3,5,6}:{(36,1),(37,1),(41,1),(68,1),(74,1),(75,1),(115,1),(117,1),(152,1),(174,1)}
       55:{1,2,4,6}:{(36,1),(38,1),(42,1),(69,1),(74,1),(75,1),(83,1),(112,1),(116,1),(125,1),(150,1),(156,1),(171,1)}
       56:{1,4}:{(37,1),(44,1),(71,1)}
       57:{1,3,5}:{(38,1),(45,1),(72,1),(75,1),(76,1),(77,1),(154,1),(175,1),(182,1)}
       58:{2,4,5,6}:{(39,1),(42,1),(78,1),(79,1),(80,1),(121,1)}
       59:{1,3,5,6}:{(39,1),(40,1),(43,1),(78,1),(79,1),(115,1)}
       60:{2,4,6}:{(41,1),(44,1),(74,1),(80,1),(81,1),(183,1)}
       61:{3,6}:{(42,1),(45,1)}
       62:{2,4,6}:{(43,1),(46,1),(79,1),(82,1),(83,1),(125,1)}
       63:{3,4}:{(44,1),(45,1)}
       64:{2,3,5}:{(45,1),(46,1),(82,1),(84,1),(85,1),(175,1)}
       65:{1,4,5}:{(46,1),(83,1),(85,1),(118,1),(152,1)}
       66:{1,4,5,6}:{(47,1),(49,1),(86,1),(87,1),(94,1),(129,1),(160,1)}
       67:{3,5,6}:{(47,1),(50,1),(102,1),(178,1)}
       68:{2,3,5,6}:{(48,1),(51,1),(54,1),(88,1),(89,1),(96,1),(130,1),(135,1),(141,1),(168,1),(169,1)}
       69:{2,4,6}:{(48,1),(49,1),(52,1),(89,1)}
       70:{1,3,4,6}:{(49,1),(50,1),(53,1),(87,1),(89,1),(90,1),(127,1),(132,1),(160,1),(178,1)}
       71:{2,4}:{(51,1),(56,1),(91,1)}
       72:{3,5}:{(52,1),(89,1),(91,1)}
       73:{2,4,5}:{(53,1),(90,1),(92,1),(93,1),(97,1),(134,1),(135,1)}
       74:{1,4,6}:{(54,1),(56,1),(60,1),(88,1),(94,1),(180,1)}
       75:{1,3,6}:{(55,1),(57,1),(61,1),(89,1),(96,1),(168,1),(178,1)}
       76:{1,3,4}:{(56,1),(57,1),(63,1),(91,1),(97,1),(180,1),(181,1),(184,1)}
       77:{2,3,5}:{(57,1),(96,1),(97,1),(98,1),(106,1),(134,1),(135,1),(144,1),(164,1)}
       78:{3,5,6}:{(58,1),(61,1),(99,1),(102,1)}
       79:{2,5,6}:{(59,1),(62,1),(101,1),(135,1)}
       80:{2,4,5}:{(60,1),(94,1),(102,1),(135,1)}
       81:{3,4,6}:{(60,1),(61,1),(63,1),(102,1),(178,1),(184,1)}
       82:{2,3,6}:{(61,1),(62,1),(64,1),(104,1),(168,1)}
       83:{1,4,6}:{(62,1),(65,1),(101,1),(104,1)}
       84:{2,3,4}:{(63,1),(64,1),(97,1),(105,1),(164,1),(181,1)}
       85:{1,3,5}:{(64,1),(65,1),(104,1),(105,1),(106,1)}
       86:{2,4,5,6}:{(66,1),(69,1),(107,1),(108,1),(109,1),(146,1)}
       87:{1,3,5,6}:{(66,1),(67,1),(70,1),(107,1),(108,1),(115,1)}
       88:{2,4,6}:{(68,1),(71,1),(74,1),(109,1),(110,1),(176,1)}
       89:{3,6}:{(69,1),(72,1)}
       90:{2,4,6}:{(70,1),(73,1),(108,1),(111,1),(112,1),(150,1)}
       91:{3,4}:{(71,1),(72,1)}
       92:{2,3,5}:{(72,1),(73,1),(111,1),(113,1),(114,1),(182,1)}
       93:{1,4,5}:{(73,1),(112,1),(114,1),(118,1),(152,1)}
       94:{1,4,5}:{(74,1),(80,1),(109,1),(115,1),(152,1)}
       95:{1,3,4,6}:{(74,1),(75,1),(76,1),(81,1),(110,1),(115,1),(116,1)}
       96:{2,3,6}:{(75,1),(77,1),(116,1),(117,1),(125,1),(150,1)}
       97:{2,4}:{(76,1),(77,1),(118,1)}
       98:{1,3,5}:{(77,1),(117,1),(118,1),(119,1),(152,1),(154,1)}
       99:{3,4,6}:{(78,1),(120,1),(121,1)}
      100:{2,3,5,6}:{(78,1),(79,1),(82,1),(121,1),(122,1),(123,1)}
      101:{1,5,6}:{(79,1),(83,1),(152,1)}
      102:{3,5}:{(80,1),(81,1)}
      103:{2,3,4,6}:{(81,1),(82,1),(84,1),(116,1),(121,1),(123,1),(124,1),(173,1),(183,1)}
      104:{1,3,6}:{(82,1),(83,1),(85,1),(125,1)}
      105:{1,3,4}:{(84,1),(85,1),(118,1),(126,1),(154,1)}
      106:{2,5}:{(85,1),(125,1),(126,1)}
      107:{3,5,6}:{(86,1),(89,1),(127,1),(130,1)}
      108:{2,5,6}:{(87,1),(90,1),(129,1),(135,1)}
      109:{2,4,5}:{(88,1),(94,1),(130,1),(135,1)}
      110:{3,4,6}:{(88,1),(89,1),(91,1),(130,1),(168,1),(181,1)}
      111:{2,3,6}:{(89,1),(90,1),(92,1),(132,1),(178,1)}
      112:{1,4,6}:{(90,1),(93,1),(129,1),(132,1)}
      113:{2,3,4}:{(91,1),(92,1),(97,1),(133,1),(144,1),(184,1)}
      114:{1,3,5}:{(92,1),(93,1),(132,1),(133,1),(134,1)}
      115:{1,3,5}:{(94,1),(95,1),(102,1),(130,1),(135,1)}
      116:{2,4,6}:{(95,1),(96,1),(97,1),(135,1),(136,1)}
      117:{1,3,6}:{(96,1),(98,1),(136,1),(137,1)}
      118:{1,4}:{(97,1),(98,1)}
      119:{1,2,5}:{(98,1),(106,1),(134,1),(137,1),(138,1)}
      120:{3,4,5}:{(99,1),(102,1),(139,1),(184,1)}
      121:{2,4,6}:{(99,1),(100,1),(139,1),(140,1)}
      122:{1,3,5,6}:{(100,1),(101,1),(104,1),(140,1),(141,1),(142,1),(168,1)}
      123:{2,3,5}:{(102,1),(103,1),(135,1),(139,1),(142,1)}
      124:{1,3,4,6}:{(103,1),(104,1),(105,1),(136,1),(140,1),(142,1),(143,1),(166,1),(168,1),(180,1),(181,1)}
      125:{2,6}:{(104,1),(106,1)}
      126:{2,4}:{(105,1),(106,1),(144,1)}
      127:{3,4,6}:{(107,1),(145,1),(146,1)}
      128:{2,3,5,6}:{(107,1),(108,1),(111,1),(146,1),(147,1),(148,1)}
      129:{1,5,6}:{(108,1),(112,1),(152,1)}
      130:{3,5}:{(109,1),(110,1)}
      131:{2,3,4,6}:{(110,1),(111,1),(113,1),(116,1),(146,1),(148,1),(149,1),(158,1),(176,1)}
      132:{1,3,6}:{(111,1),(112,1),(114,1),(150,1)}
      133:{1,3,4}:{(113,1),(114,1),(118,1),(151,1),(154,1)}
      134:{2,5}:{(114,1),(150,1),(151,1)}
      135:{2,5}:{(115,1),(116,1),(152,1)}
      136:{1,4,6}:{(116,1),(117,1),(118,1),(152,1)}
      137:{1,2,6}:{(117,1),(119,1),(125,1),(150,1)}
      138:{1,2,4}:{(118,1),(119,1),(126,1),(151,1),(154,1)}
      139:{2,4,5}:{(120,1),(121,1),(123,1),(155,1),(183,1)}
      140:{1,4,6}:{(121,1),(122,1),(155,1),(156,1)}
      141:{2,5,6}:{(122,1),(125,1),(156,1),(157,1)}
      142:{1,3,5}:{(123,1),(124,1),(152,1),(155,1),(157,1),(175,1)}
      143:{2,4,6}:{(124,1),(125,1),(126,1),(157,1),(158,1),(176,1)}
      144:{2,3}:{(126,1),(154,1)}
      145:{3,4,5}:{(127,1),(130,1),(159,1),(181,1)}
      146:{2,4,6}:{(127,1),(128,1),(159,1),(160,1)}
      147:{1,3,5,6}:{(128,1),(129,1),(132,1),(160,1),(161,1),(162,1),(178,1)}
      148:{2,3,5}:{(130,1),(131,1),(135,1),(159,1),(162,1)}
      149:{1,3,4,6}:{(131,1),(132,1),(133,1),(136,1),(160,1),(162,1),(163,1),(166,1),(178,1),(180,1),(184,1)}
      150:{2,6}:{(132,1),(134,1)}
      151:{2,4}:{(133,1),(134,1),(164,1)}
      152:{1,5}:{(135,1),(136,1)}
      153:{1,2,4,6}:{(136,1),(137,1),(138,1),(143,1),(163,1),(165,1),(166,1),(180,1)}
      154:{1,3}:{(138,1),(144,1),(164,1)}
      155:{1,4,5}:{(139,1),(140,1),(142,1),(167,1),(180,1)}
      156:{2,4,6}:{(140,1),(141,1),(167,1),(168,1)}
      157:{2,5}:{(142,1),(143,1)}
      158:{2,3,6}:{(143,1),(144,1),(166,1),(168,1),(169,1)}
      159:{2,4,5}:{(145,1),(146,1),(148,1),(170,1),(176,1)}
      160:{1,4,6}:{(146,1),(147,1),(170,1),(171,1)}
      161:{2,5,6}:{(147,1),(150,1),(171,1),(172,1)}
      162:{1,3,5}:{(148,1),(149,1),(152,1),(170,1),(172,1),(182,1)}
      163:{2,4,6}:{(149,1),(150,1),(151,1),(172,1),(173,1),(183,1)}
      164:{2,3}:{(151,1),(154,1)}
      165:{1,2,5}:{(152,1),(153,1),(157,1),(172,1),(174,1)}
      166:{1,3,6}:{(153,1),(154,1),(158,1),(173,1),(174,1)}
      167:{2,4,5}:{(155,1),(156,1),(157,1),(175,1),(176,1)}
      168:{3,6}:{(156,1),(175,1)}
      169:{2,3,5}:{(157,1),(158,1),(174,1),(175,1),(176,1)}
      170:{1,4,5}:{(159,1),(160,1),(162,1),(177,1),(180,1)}
      171:{2,4,6}:{(160,1),(161,1),(177,1),(178,1)}
      172:{2,5}:{(162,1),(163,1)}
      173:{2,3,6}:{(163,1),(164,1),(166,1),(178,1),(179,1)}
      174:{1,3,5}:{(165,1),(166,1),(169,1),(179,1),(180,1)}
      175:{3,5}:{(167,1),(168,1),(181,1)}
      176:{2,4}:{(169,1),(180,1),(181,1)}
      177:{2,4,5}:{(170,1),(171,1),(172,1),(182,1),(183,1)}
      178:{3,6}:{(171,1),(182,1)}
      179:{2,3,5}:{(172,1),(173,1),(174,1),(182,1),(183,1)}
      180:{1,4}:{(174,1),(176,1),(183,1)}
      181:{3,4}:{(175,1),(176,1)}
      182:{3,5}:{(177,1),(178,1),(184,1)}
      183:{2,4}:{(179,1),(180,1),(184,1)}
      184:{3,4}:{(182,1),(183,1)}

391 :  0:{2,3,4}:{(2,1),(3,1),(39,1),(62,1)}
       1:{3,4,5}:{(6,1),(7,1),(69,1),(79,1)}
       2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
       3:{1,3,4}:{(0,1),(9,1),(10,1),(28,1),(53,1),(56,1)}
       4:{2,3,4}:{(12,1),(13,1),(20,1),(46,1)}
       5:{4,5,6}:{(15,1),(80,1)}
       6:{3,4,6}:{(1,1),(15,1),(16,1)}
       7:{2,4,5}:{(1,1),(2,1),(16,1),(17,1),(62,1),(76,1)}
       8:{2,3,6}:{(2,1),(16,1),(18,1)}
       9:{1,3,5}:{(2,1),(3,1),(17,1),(18,1),(19,1),(44,1)}
      10:{2,4}:{(3,1),(19,1),(20,1)}
      11:{3,4,5}:{(22,1),(23,1),(56,1),(73,1)}
      12:{2,3,5}:{(4,1),(23,1),(24,1),(25,1)}
      13:{1,3,4}:{(4,1),(25,1),(26,1),(28,1),(53,1),(69,1)}
      14:{1,2,4}:{(10,1),(26,1),(27,1),(28,1),(53,1)}
      15:{3,5,6}:{(5,1),(6,1),(29,1),(79,1)}
      16:{2,4,6}:{(6,1),(7,1),(8,1),(29,1),(30,1)}
      17:{1,4,5}:{(7,1),(9,1),(30,1),(31,1),(53,1),(71,1)}
      18:{1,3,6}:{(8,1),(9,1),(30,1),(32,1),(55,1)}
      19:{2,5}:{(9,1),(10,1),(32,1)}
      20:{2,3}:{(10,1),(28,1)}
      21:{4,5,6}:{(34,1),(77,1)}
      22:{3,4,6}:{(11,1),(34,1),(35,1)}
      23:{2,4,5}:{(11,1),(12,1),(35,1),(36,1),(46,1),(66,1)}
      24:{2,3,6}:{(12,1),(35,1),(37,1)}
      25:{1,3,5}:{(12,1),(13,1),(36,1),(37,1),(38,1),(60,1)}
      26:{2,4}:{(13,1),(38,1),(39,1)}
      27:{1,2,5}:{(14,1),(19,1),(38,1),(40,1),(41,1)}
      28:{1,3}:{(14,1),(20,1),(39,1)}
      29:{2,5,6}:{(15,1),(16,1),(42,1),(76,1)}
      30:{1,4,6}:{(16,1),(17,1),(18,1),(42,1),(43,1)}
      31:{2,4,5}:{(17,1),(19,1),(43,1),(44,1),(46,1),(66,1),(77,1)}
      32:{2,6}:{(18,1),(19,1)}
      33:{2,3,5}:{(19,1),(20,1),(41,1),(44,1),(45,1),(46,1),(66,1)}
      34:{3,5,6}:{(21,1),(22,1),(47,1),(73,1)}
      35:{2,4,6}:{(22,1),(23,1),(24,1),(47,1),(48,1)}
      36:{1,4,5}:{(23,1),(25,1),(48,1),(49,1),(53,1),(71,1)}
      37:{1,3,6}:{(24,1),(25,1),(48,1),(50,1),(68,1)}
      38:{2,5}:{(25,1),(26,1),(50,1)}
      39:{2,3}:{(26,1),(28,1)}
      40:{1,2,6}:{(27,1),(32,1),(50,1),(52,1)}
      41:{1,3,5}:{(27,1),(28,1),(33,1),(51,1),(52,1),(53,1),(71,1)}
      42:{1,5,6}:{(29,1),(30,1),(54,1),(71,1)}
      43:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1),(72,1)}
      44:{3,5}:{(31,1),(55,1),(56,1)}
      45:{2,3,6}:{(32,1),(33,1),(52,1),(55,1),(57,1)}
      46:{2,4}:{(33,1),(53,1),(56,1)}
      47:{2,5,6}:{(34,1),(35,1),(58,1),(66,1)}
      48:{1,4,6}:{(35,1),(36,1),(37,1),(58,1),(59,1)}
      49:{2,4,5}:{(36,1),(38,1),(59,1),(60,1),(62,1),(76,1),(80,1)}
      50:{2,6}:{(37,1),(38,1)}
      51:{2,3,5}:{(38,1),(39,1),(41,1),(60,1),(61,1),(62,1),(76,1)}
      52:{1,3,6}:{(40,1),(41,1),(45,1),(61,1),(63,1)}
      53:{1,4}:{(41,1),(46,1),(62,1)}
      54:{2,5,6}:{(42,1),(43,1),(64,1),(66,1)}
      55:{3,6}:{(43,1),(44,1)}
      56:{3,4}:{(44,1),(46,1)}
      57:{2,4,6}:{(45,1),(46,1),(63,1),(65,1),(66,1)}
      58:{1,5,6}:{(47,1),(48,1),(67,1),(71,1)}
      59:{2,4,6}:{(48,1),(49,1),(50,1),(67,1),(68,1),(78,1)}
      60:{3,5}:{(49,1),(68,1),(69,1)}
      61:{2,3,6}:{(50,1),(51,1),(52,1),(68,1),(70,1)}
      62:{2,4}:{(51,1),(53,1),(69,1)}
      63:{1,4,6}:{(52,1),(53,1),(57,1),(70,1),(71,1)}
      64:{3,5,6}:{(54,1),(55,1),(72,1),(73,1)}
      65:{3,4,6}:{(55,1),(56,1),(57,1),(72,1),(73,1)}
      66:{2,5}:{(57,1),(71,1),(73,1)}
      67:{2,5,6}:{(58,1),(59,1),(74,1),(76,1)}
      68:{3,6}:{(59,1),(60,1)}
      69:{3,4}:{(60,1),(62,1)}
      70:{2,4,6}:{(61,1),(62,1),(63,1),(75,1),(76,1)}
      71:{1,5}:{(63,1),(66,1),(76,1)}
      72:{4,6}:{(64,1),(77,1)}
      73:{3,5}:{(65,1),(66,1),(77,1)}
      74:{3,5,6}:{(67,1),(68,1),(78,1),(79,1)}
      75:{3,4,6}:{(68,1),(69,1),(70,1),(78,1),(79,1)}
      76:{2,5}:{(70,1),(71,1),(79,1)}
      77:{4,5}:{(72,1),(73,1)}
      78:{4,6}:{(74,1),(80,1)}
      79:{3,5}:{(75,1),(76,1),(80,1)}
      80:{4,5}:{(78,1),(79,1)}

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

393 :   0:{2,3,4,6}:{(1,1),(2,1),(9,1),(34,1),(65,1),(71,1),(78,1),(102,1),(105,1)}
        1:{1,3,4,6}:{(0,1),(5,1),(6,1),(18,1),(22,1),(45,1),(53,1),(57,1),(87,1),(99,1),(126,1)}
        2:{2,3,5}:{(0,1),(6,1),(7,1),(122,1),(125,1)}
        3:{2,3,5,6}:{(2,1),(8,1),(9,1),(11,1),(33,1),(65,1)}
        4:{2,4,5,6}:{(9,1),(10,1),(11,1),(33,1),(101,1),(112,1)}
        5:{2,4,6}:{(1,1),(13,1),(14,1),(39,1),(110,1),(120,1)}
        6:{1,3,5}:{(1,1),(2,1),(14,1),(15,1),(40,1),(144,1)}
        7:{2,4,5}:{(2,1),(9,1),(15,1),(16,1),(71,1)}
        8:{1,3,5,6}:{(3,1),(6,1),(17,1),(18,1),(45,1),(49,1),(87,1)}
        9:{2,4,6}:{(3,1),(7,1),(18,1),(19,1)}
       10:{1,4,5,6}:{(4,1),(18,1),(20,1),(21,1),(49,1),(81,1),(89,1)}
       11:{3,5,6}:{(4,1),(19,1),(122,1),(131,1)}
       12:{1,2,4,6}:{(5,1),(22,1),(23,1),(50,1),(53,1),(126,1),(127,1),(137,1)}
       13:{2,3,6}:{(5,1),(22,1),(25,1),(45,1),(138,1)}
       14:{2,5}:{(5,1),(6,1)}
       15:{1,4,5}:{(6,1),(7,1),(18,1),(26,1),(53,1)}
       16:{3,4,5}:{(7,1),(19,1),(93,1),(122,1)}
       17:{2,5,6}:{(8,1),(14,1),(30,1),(110,1)}
       18:{1,4,6}:{(8,1),(9,1),(15,1),(30,1)}
       19:{3,4,6}:{(9,1),(11,1),(16,1)}
       20:{2,4,5,6}:{(10,1),(30,1),(32,1),(33,1),(63,1),(68,1)}
       21:{1,3,5,6}:{(10,1),(11,1),(31,1),(32,1),(33,1),(104,1)}
       22:{1,3,6}:{(12,1),(13,1),(34,1),(36,1),(153,1)}
       23:{1,2,5}:{(12,1),(14,1),(36,1),(70,1),(144,1)}
       24:{2,3,4,6}:{(13,1),(35,1),(38,1),(39,1),(64,1),(76,1),(105,1),(115,1),(149,1)}
       25:{2,3,5}:{(13,1),(14,1),(36,1),(39,1),(40,1)}
       26:{2,4,5}:{(14,1),(15,1),(30,1),(39,1),(40,1)}
       27:{1,3,4,5}:{(15,1),(16,1),(31,1),(40,1),(41,1),(67,1),(74,1),(79,1),(104,1),(111,1),(148,1)}
       28:{1,2,5,6}:{(17,1),(23,1),(42,1),(43,1),(49,1),(90,1),(91,1),(125,1),(127,1),(159,1),(160,1),(177,1)}
       29:{2,3,5,6}:{(17,1),(25,1),(42,1),(44,1),(45,1),(83,1),(85,1),(125,1),(177,1),(178,1),(183,1)}
       30:{2,4,6}:{(17,1),(18,1),(26,1),(45,1)}
       31:{1,3,4,6}:{(18,1),(19,1),(21,1),(27,1),(45,1),(46,1),(47,1),(87,1),(89,1),(131,1)}
       32:{3,5,6}:{(20,1),(45,1),(47,1),(85,1)}
       33:{2,5,6}:{(21,1),(46,1),(49,1),(125,1)}
       34:{2,3,6}:{(22,1),(50,1),(51,1),(132,1),(166,1)}
       35:{1,3,4,6}:{(22,1),(24,1),(50,1),(52,1),(53,1),(93,1),(94,1),(126,1),(132,1),(134,1),(164,1)}
       36:{1,3,5}:{(22,1),(23,1),(25,1),(51,1),(53,1)}
       37:{1,2,4,5}:{(23,1),(26,1),(43,1),(53,1),(54,1),(59,1),(81,1),(92,1),(96,1),(100,1),(125,1),(130,1),(136,1),(137,1),(160,1),(165,1),(176,1),(179,1)}
       38:{2,3,5}:{(24,1),(52,1),(56,1),(85,1),(125,1)}
       39:{2,4}:{(25,1),(53,1),(57,1)}
       40:{3,5}:{(26,1),(45,1),(57,1)}
       41:{2,4,5}:{(27,1),(46,1),(58,1),(59,1),(96,1),(100,1),(125,1)}
       42:{1,3,5,6}:{(28,1),(29,1),(36,1),(60,1),(61,1),(62,1),(104,1),(106,1),(144,1),(172,1)}
       43:{1,2,4,6}:{(28,1),(30,1),(37,1),(61,1),(62,1),(66,1),(105,1),(110,1),(112,1),(113,1),(152,1),(174,1),(180,1)}
       44:{2,4,6}:{(29,1),(39,1),(61,1),(63,1),(64,1),(182,1)}
       45:{3,6}:{(30,1),(40,1)}
       46:{2,4,6}:{(31,1),(33,1),(41,1),(65,1),(66,1),(110,1)}
       47:{3,4,6}:{(32,1),(67,1),(68,1)}
       48:{2,3,5,6}:{(32,1),(33,1),(65,1),(68,1),(69,1),(108,1)}
       49:{1,5,6}:{(33,1),(66,1),(144,1)}
       50:{2,4,6}:{(34,1),(35,1),(70,1),(71,1),(151,1),(174,1)}
       51:{2,3,5}:{(34,1),(36,1),(70,1),(71,1),(114,1)}
       52:{1,3,5}:{(35,1),(38,1),(70,1),(73,1),(114,1),(144,1)}
       53:{1,4}:{(36,1),(39,1),(71,1)}
       54:{1,3,5}:{(37,1),(40,1),(62,1),(74,1),(75,1),(114,1),(148,1),(153,1),(181,1)}
       55:{2,3,5,6}:{(38,1),(72,1),(76,1),(107,1),(143,1),(149,1)}
       56:{2,4,5}:{(38,1),(39,1),(73,1),(76,1),(77,1)}
       57:{3,4}:{(39,1),(40,1)}
       58:{2,3,5}:{(40,1),(41,1),(65,1),(78,1),(79,1),(148,1)}
       59:{1,4,5}:{(41,1),(66,1),(79,1),(118,1),(144,1)}
       60:{2,3,5,6}:{(42,1),(51,1),(80,1),(83,1),(90,1),(91,1),(122,1),(125,1),(131,1),(132,1),(162,1)}
       61:{1,4,6}:{(42,1),(44,1),(53,1),(80,1),(81,1),(179,1)}
       62:{1,3,6}:{(43,1),(45,1),(54,1),(83,1),(131,1),(132,1),(183,1)}
       63:{2,4,5}:{(44,1),(81,1),(85,1),(125,1)}
       64:{3,4,6}:{(44,1),(45,1),(57,1),(85,1),(183,1),(184,1)}
       65:{2,3,6}:{(45,1),(46,1),(58,1),(87,1),(131,1)}
       66:{1,4,6}:{(46,1),(49,1),(59,1),(87,1)}
       67:{3,4,5}:{(47,1),(85,1),(88,1),(184,1)}
       68:{2,4,6}:{(47,1),(48,1),(88,1),(89,1)}
       69:{1,3,5,6}:{(48,1),(49,1),(87,1),(89,1),(90,1),(128,1),(131,1)}
       70:{2,5}:{(50,1),(52,1)}
       71:{2,4}:{(51,1),(53,1),(93,1)}
       72:{1,3,5,6}:{(52,1),(55,1),(91,1),(94,1),(132,1),(159,1),(164,1)}
       73:{1,4,5}:{(52,1),(53,1),(56,1),(92,1),(94,1)}
       74:{1,3,4}:{(53,1),(54,1),(57,1),(93,1),(96,1),(163,1),(179,1),(184,1)}
       75:{2,3,5}:{(54,1),(83,1),(96,1),(97,1),(100,1),(125,1),(138,1),(165,1),(166,1)}
       76:{2,4,6}:{(55,1),(56,1),(94,1),(98,1)}
       77:{3,4,5}:{(56,1),(57,1),(85,1),(98,1)}
       78:{2,3,4}:{(57,1),(58,1),(96,1),(99,1),(163,1),(166,1)}
       79:{1,3,5}:{(58,1),(59,1),(87,1),(99,1),(100,1)}
       80:{2,4,6}:{(60,1),(61,1),(71,1),(101,1),(102,1),(173,1)}
       81:{1,4,5}:{(61,1),(63,1),(101,1),(104,1),(144,1)}
       82:{1,3,4,6}:{(61,1),(62,1),(64,1),(74,1),(102,1),(104,1),(105,1)}
       83:{2,3,6}:{(62,1),(75,1),(105,1),(106,1),(110,1),(174,1)}
       84:{2,4,5,6}:{(63,1),(76,1),(103,1),(107,1),(143,1),(180,1)}
       85:{3,5}:{(63,1),(64,1)}
       86:{2,3,4,6}:{(64,1),(65,1),(68,1),(78,1),(105,1),(108,1),(109,1),(171,1),(182,1)}
       87:{1,3,6}:{(65,1),(66,1),(79,1),(110,1)}
       88:{2,4,5}:{(67,1),(68,1),(108,1),(111,1),(182,1)}
       89:{1,4,6}:{(68,1),(69,1),(111,1),(112,1)}
       90:{2,5,6}:{(69,1),(110,1),(112,1),(146,1)}
       91:{2,5,6}:{(70,1),(72,1),(113,1),(174,1)}
       92:{2,4,5}:{(70,1),(71,1),(73,1),(113,1),(114,1)}
       93:{3,4}:{(71,1),(114,1)}
       94:{1,4,6}:{(72,1),(73,1),(76,1),(113,1)}
       95:{1,3,4,5}:{(73,1),(74,1),(77,1),(104,1),(114,1),(116,1),(117,1),(139,1),(150,1),(168,1),(181,1)}
       96:{2,4}:{(74,1),(75,1),(118,1)}
       97:{1,3,5}:{(75,1),(106,1),(118,1),(119,1),(144,1),(153,1)}
       98:{3,4,6}:{(76,1),(77,1),(107,1)}
       99:{1,3,4}:{(78,1),(79,1),(118,1),(120,1),(153,1)}
      100:{2,5}:{(79,1),(110,1),(120,1)}
      101:{2,4,5}:{(80,1),(81,1),(122,1),(125,1)}
      102:{3,4,6}:{(80,1),(93,1),(122,1),(131,1),(132,1),(163,1)}
      103:{1,4,5,6}:{(81,1),(84,1),(94,1),(121,1),(124,1),(159,1),(175,1)}
      104:{1,3,5}:{(81,1),(82,1),(85,1),(122,1),(125,1)}
      105:{2,4,6}:{(82,1),(83,1),(96,1),(125,1),(126,1)}
      106:{1,3,6}:{(83,1),(97,1),(126,1),(127,1)}
      107:{3,5,6}:{(84,1),(85,1),(98,1),(183,1)}
      108:{2,3,5}:{(85,1),(86,1),(88,1),(125,1),(128,1)}
      109:{1,3,4,6}:{(86,1),(87,1),(89,1),(99,1),(126,1),(128,1),(129,1),(131,1),(161,1),(163,1),(179,1)}
      110:{2,6}:{(87,1),(100,1)}
      111:{1,4,5}:{(88,1),(89,1),(128,1),(130,1),(179,1)}
      112:{2,4,6}:{(89,1),(90,1),(130,1),(131,1)}
      113:{2,4,6}:{(91,1),(92,1),(94,1),(132,1)}
      114:{3,5}:{(92,1),(93,1),(132,1)}
      115:{2,3,4}:{(93,1),(96,1),(133,1),(134,1),(138,1),(184,1)}
      116:{1,3,4,6}:{(94,1),(95,1),(98,1),(124,1),(132,1),(135,1),(154,1),(164,1),(175,1),(183,1)}
      117:{2,4,5}:{(95,1),(96,1),(125,1),(133,1),(135,1),(136,1),(165,1)}
      118:{1,4}:{(96,1),(97,1)}
      119:{1,2,5}:{(97,1),(100,1),(127,1),(137,1),(165,1)}
      120:{2,4}:{(99,1),(100,1),(138,1)}
      121:{2,4,5,6}:{(101,1),(103,1),(113,1),(140,1),(143,1),(167,1)}
      122:{3,5}:{(101,1),(102,1)}
      123:{2,3,4,6}:{(102,1),(105,1),(115,1),(141,1),(142,1),(147,1),(149,1),(167,1),(173,1)}
      124:{1,3,5,6}:{(103,1),(104,1),(107,1),(116,1),(140,1),(143,1)}
      125:{2,5}:{(104,1),(105,1),(144,1)}
      126:{1,4,6}:{(105,1),(106,1),(118,1),(144,1)}
      127:{1,2,6}:{(106,1),(110,1),(119,1),(174,1)}
      128:{1,3,5}:{(108,1),(109,1),(111,1),(144,1),(146,1),(148,1)}
      129:{2,4,6}:{(109,1),(110,1),(120,1),(146,1),(147,1),(173,1)}
      130:{2,4,5}:{(111,1),(112,1),(146,1),(148,1),(173,1)}
      131:{3,6}:{(112,1),(148,1)}
      132:{3,6}:{(113,1),(114,1)}
      133:{2,3,5}:{(114,1),(115,1),(117,1),(149,1),(150,1),(181,1)}
      134:{1,3,4}:{(115,1),(118,1),(150,1),(151,1),(153,1)}
      135:{2,4,6}:{(116,1),(117,1),(143,1),(149,1),(152,1),(174,1)}
      136:{1,4,5}:{(117,1),(118,1),(144,1),(150,1),(152,1)}
      137:{1,2,4}:{(118,1),(119,1),(120,1),(151,1),(153,1)}
      138:{2,3}:{(120,1),(153,1)}
      139:{3,4,5}:{(122,1),(154,1),(155,1),(163,1)}
      140:{3,5,6}:{(121,1),(122,1),(132,1),(154,1)}
      141:{2,3,5}:{(122,1),(123,1),(125,1),(155,1),(157,1)}
      142:{1,3,4,6}:{(123,1),(126,1),(134,1),(157,1),(158,1),(161,1),(164,1),(175,1),(179,1),(183,1),(184,1)}
      143:{2,5,6}:{(124,1),(125,1),(135,1),(159,1)}
      144:{1,5}:{(125,1),(126,1)}
      145:{1,2,4,6}:{(126,1),(127,1),(129,1),(137,1),(158,1),(160,1),(161,1),(179,1)}
      146:{2,5}:{(128,1),(129,1)}
      147:{2,3,6}:{(129,1),(131,1),(138,1),(161,1),(162,1)}
      148:{3,5}:{(130,1),(131,1),(163,1)}
      149:{2,3,6}:{(132,1),(133,1),(135,1),(164,1),(183,1)}
      150:{1,3,5}:{(133,1),(134,1),(136,1),(164,1),(165,1)}
      151:{2,4}:{(134,1),(165,1),(166,1)}
      152:{1,4,6}:{(135,1),(136,1),(159,1),(164,1)}
      153:{1,3}:{(137,1),(138,1),(166,1)}
      154:{3,4,6}:{(139,1),(140,1),(167,1)}
      155:{2,4,5}:{(139,1),(141,1),(167,1),(168,1),(173,1)}
      156:{2,3,5,6}:{(140,1),(141,1),(143,1),(149,1),(167,1),(169,1)}
      157:{1,3,5}:{(141,1),(142,1),(144,1),(168,1),(170,1),(181,1)}
      158:{2,4,6}:{(142,1),(151,1),(170,1),(171,1),(174,1),(182,1)}
      159:{1,5,6}:{(143,1),(144,1),(152,1)}
      160:{1,2,5}:{(144,1),(145,1),(146,1),(170,1),(172,1)}
      161:{1,3,6}:{(145,1),(147,1),(153,1),(171,1),(172,1)}
      162:{2,3,5}:{(146,1),(147,1),(148,1),(172,1),(173,1)}
      163:{3,4}:{(148,1),(173,1)}
      164:{1,3,6}:{(149,1),(150,1),(152,1),(174,1)}
      165:{2,5}:{(150,1),(151,1),(174,1)}
      166:{2,3}:{(151,1),(153,1)}
      167:{2,4,6}:{(154,1),(155,1),(156,1),(175,1)}
      168:{1,4,5}:{(155,1),(157,1),(175,1),(176,1),(179,1)}
      169:{1,3,5,6}:{(156,1),(157,1),(159,1),(164,1),(175,1),(177,1),(183,1)}
      170:{2,5}:{(157,1),(158,1)}
      171:{2,3,6}:{(158,1),(161,1),(166,1),(178,1),(183,1)}
      172:{1,3,5}:{(160,1),(161,1),(162,1),(178,1),(179,1)}
      173:{2,4}:{(162,1),(163,1),(179,1)}
      174:{2,6}:{(164,1),(165,1)}
      175:{1,4,6}:{(167,1),(168,1),(169,1),(180,1)}
      176:{2,4,5}:{(168,1),(170,1),(180,1),(181,1),(182,1)}
      177:{2,5,6}:{(169,1),(170,1),(174,1),(180,1)}
      178:{2,3,5}:{(170,1),(171,1),(172,1),(181,1),(182,1)}
      179:{1,4}:{(172,1),(173,1),(182,1)}
      180:{2,4,6}:{(175,1),(176,1),(177,1),(183,1)}
      181:{3,5}:{(176,1),(183,1),(184,1)}
      182:{2,4}:{(178,1),(179,1),(184,1)}
      183:{3,6}:{(180,1),(181,1)}
      184:{3,4}:{(181,1),(182,1)}

394 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(12,1)}
       1:{1,3,6}:{(0,1),(4,1),(6,1),(44,1)}
       2:{1,2,5}:{(0,1),(6,1),(16,1),(41,1)}
       3:{1,2,6}:{(7,1),(8,1),(42,1)}
       4:{2,3,6}:{(1,1),(7,1),(9,1),(10,1),(37,1),(42,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(25,1),(26,1),(37,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(36,1),(43,1)}
       7:{1,3,6}:{(3,1),(4,1),(13,1),(14,1)}
       8:{1,2,5}:{(3,1),(14,1),(15,1),(39,1)}
       9:{2,4,6}:{(4,1),(5,1),(13,1),(16,1),(17,1)}
      10:{2,3,5}:{(4,1),(6,1),(14,1),(16,1),(17,1),(30,1),(32,1),(39,1)}
      11:{1,3,5}:{(5,1),(16,1),(19,1),(32,1)}
      12:{1,4}:{(6,1),(17,1)}
      13:{1,4,6}:{(7,1),(9,1),(20,1),(21,1)}
      14:{1,3,5}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1)}
      15:{1,2,4}:{(8,1),(21,1),(22,1),(35,1)}
      16:{2,5}:{(9,1),(11,1),(20,1)}
      17:{2,4}:{(10,1),(12,1),(21,1),(25,1)}
      18:{1,3,5,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(43,1)}
      20:{1,5}:{(13,1),(16,1)}
      21:{1,4}:{(14,1),(17,1)}
      22:{1,3}:{(15,1),(30,1)}
      23:{2,5,6}:{(16,1),(18,1),(27,1),(31,1)}
      24:{2,4,5}:{(16,1),(17,1),(19,1),(28,1),(31,1),(32,1),(39,1)}
      25:{3,4}:{(17,1),(32,1)}
      26:{1,4,6}:{(18,1),(19,1),(31,1),(44,1)}
      27:{1,5,6}:{(20,1),(23,1),(33,1)}
      28:{1,4,5}:{(20,1),(21,1),(24,1),(33,1),(34,1)}
      29:{1,3,4}:{(21,1),(22,1),(25,1),(34,1),(35,1)}
      30:{2,3}:{(22,1),(35,1),(36,1)}
      31:{2,4,6}:{(23,1),(24,1),(26,1),(33,1),(37,1),(42,1)}
      32:{3,5}:{(24,1),(25,1),(37,1)}
      33:{1,4,6}:{(27,1),(28,1),(31,1),(38,1)}
      34:{1,3,5}:{(28,1),(29,1),(32,1),(38,1),(39,1)}
      35:{2,4}:{(29,1),(30,1),(39,1),(40,1)}
      36:{1,3}:{(30,1),(40,1),(41,1)}
      37:{3,6}:{(31,1),(32,1)}
      38:{1,3,6}:{(33,1),(34,1),(37,1),(42,1)}
      39:{2,5}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4}:{(35,1),(36,1),(43,1)}
      41:{1,2}:{(36,1)}
      42:{2,6}:{(38,1),(39,1),(44,1)}
      43:{1,5}:{(39,1),(40,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

395 :   0:{1,2,5,6}:{(2,1),(3,1),(38,1),(40,1),(73,1),(74,1),(78,1),(99,1)}
        1:{2,3,5,6}:{(2,1),(4,1),(15,1),(17,1),(38,1),(99,1),(100,1),(125,1)}
        2:{1,3,5,6}:{(0,1),(1,1),(5,1),(7,1),(8,1),(24,1),(26,1),(56,1),(92,1)}
        3:{1,2,4,6}:{(0,1),(6,1),(7,1),(8,1),(25,1),(88,1),(93,1),(112,1),(118,1)}
        4:{2,4,6}:{(1,1),(7,1),(9,1),(10,1),(115,1)}
        5:{2,3,5,6}:{(2,1),(11,1),(15,1),(32,1),(38,1),(78,1),(79,1),(109,1)}
        6:{1,2,4,5}:{(3,1),(12,1),(13,1),(35,1),(38,1),(71,1),(74,1),(77,1),(98,1),(101,1),(103,1),(108,1)}
        7:{1,4,6}:{(2,1),(4,1),(11,1),(13,1),(108,1)}
        8:{1,3,6}:{(3,1),(12,1),(15,1),(109,1),(125,1)}
        9:{2,4,5}:{(4,1),(13,1),(17,1),(38,1)}
       10:{3,4,6}:{(4,1),(17,1),(125,1),(126,1)}
       11:{2,4,6}:{(5,1),(7,1),(19,1),(20,1),(96,1)}
       12:{1,3,5}:{(6,1),(8,1),(21,1),(22,1),(94,1),(113,1),(117,1)}
       13:{1,4,5}:{(7,1),(9,1),(19,1),(24,1),(56,1)}
       14:{1,3,4,6}:{(7,1),(8,1),(10,1),(20,1),(21,1),(24,1),(25,1)}
       15:{2,3,6}:{(8,1),(22,1),(25,1),(26,1),(118,1)}
       16:{2,4,5,6}:{(9,1),(23,1),(28,1),(55,1),(58,1),(112,1),(136,1)}
       17:{3,5}:{(9,1),(10,1)}
       18:{2,3,4,6}:{(10,1),(25,1),(29,1),(30,1),(50,1),(58,1),(84,1),(85,1),(115,1),(135,1),(139,1)}
       19:{2,4,5}:{(11,1),(13,1),(32,1),(38,1)}
       20:{3,4,6}:{(11,1),(32,1),(109,1),(110,1)}
       21:{1,3,4}:{(12,1),(35,1),(108,1),(110,1),(126,1)}
       22:{2,3,5}:{(12,1),(15,1),(35,1),(36,1),(38,1),(103,1),(104,1)}
       23:{1,4,5,6}:{(13,1),(16,1),(31,1),(37,1),(73,1),(76,1),(97,1),(133,1)}
       24:{1,3,5}:{(13,1),(14,1),(17,1),(32,1),(38,1)}
       25:{2,4,6}:{(14,1),(15,1),(35,1),(38,1),(39,1)}
       26:{1,3,6}:{(15,1),(36,1),(39,1),(40,1)}
       27:{3,4,5}:{(17,1),(41,1),(42,1),(126,1),(141,1)}
       28:{3,5,6}:{(16,1),(17,1),(41,1),(125,1),(141,1)}
       29:{2,3,5}:{(17,1),(18,1),(38,1),(42,1),(44,1),(141,1),(143,1)}
       30:{1,3,4,6}:{(18,1),(39,1),(44,1),(45,1),(69,1),(75,1),(76,1),(102,1),(108,1),(109,1),(110,1),(142,1)}
       31:{2,4,5,6}:{(19,1),(23,1),(47,1),(55,1),(80,1),(93,1),(124,1)}
       32:{3,5}:{(19,1),(20,1)}
       33:{2,3,4,6}:{(20,1),(25,1),(48,1),(49,1),(50,1),(62,1),(80,1),(85,1),(96,1),(123,1),(139,1)}
       34:{1,3,4,5}:{(21,1),(24,1),(27,1),(46,1),(51,1),(52,1),(59,1),(81,1),(86,1),(94,1),(113,1),(121,1),(140,1)}
       35:{2,4}:{(21,1),(22,1),(53,1)}
       36:{1,3,5}:{(22,1),(26,1),(53,1),(54,1),(56,1),(90,1)}
       37:{1,3,5,6}:{(23,1),(24,1),(28,1),(47,1),(51,1),(55,1),(140,1)}
       38:{2,5}:{(24,1),(25,1),(56,1)}
       39:{1,4,6}:{(25,1),(26,1),(53,1),(56,1)}
       40:{1,2,6}:{(26,1),(54,1),(118,1)}
       41:{3,4,6}:{(27,1),(28,1),(58,1)}
       42:{2,4,5}:{(27,1),(29,1),(58,1),(59,1),(115,1)}
       43:{2,3,5,6}:{(28,1),(29,1),(55,1),(58,1),(60,1),(85,1)}
       44:{1,3,5}:{(29,1),(30,1),(56,1),(59,1),(61,1),(94,1),(144,1)}
       45:{2,4,6}:{(30,1),(61,1),(62,1),(87,1),(96,1),(118,1)}
       46:{3,4,5}:{(32,1),(63,1),(64,1),(110,1),(134,1)}
       47:{3,5,6}:{(31,1),(32,1),(63,1),(109,1),(134,1)}
       48:{2,3,5}:{(32,1),(33,1),(38,1),(64,1),(66,1),(134,1),(143,1)}
       49:{1,3,4,6}:{(33,1),(39,1),(66,1),(67,1),(69,1),(75,1),(97,1),(102,1),(108,1),(125,1),(126,1),(142,1)}
       50:{2,3,4}:{(35,1),(68,1),(69,1),(104,1),(110,1),(126,1),(131,1)}
       51:{1,3,4,6}:{(34,1),(37,1),(41,1),(63,1),(70,1),(76,1),(97,1),(102,1),(109,1),(125,1)}
       52:{2,4,5}:{(34,1),(35,1),(38,1),(68,1),(70,1),(71,1),(103,1),(131,1),(143,1)}
       53:{1,4}:{(35,1),(36,1)}
       54:{1,2,5}:{(36,1),(40,1),(72,1),(103,1)}
       55:{2,5,6}:{(37,1),(38,1),(70,1),(73,1),(143,1)}
       56:{1,5}:{(38,1),(39,1)}
       57:{1,2,4,6}:{(39,1),(40,1),(45,1),(67,1),(72,1),(74,1),(75,1),(101,1),(108,1),(128,1),(142,1)}
       58:{2,4,6}:{(41,1),(42,1),(43,1),(76,1)}
       59:{1,4,5}:{(42,1),(44,1),(76,1),(77,1),(108,1)}
       60:{1,3,5,6}:{(43,1),(44,1),(73,1),(76,1),(78,1),(102,1),(109,1)}
       61:{2,5}:{(44,1),(45,1)}
       62:{2,3,6}:{(45,1),(75,1),(79,1),(104,1),(109,1)}
       63:{3,4,6}:{(46,1),(47,1),(80,1)}
       64:{2,4,5}:{(46,1),(48,1),(80,1),(81,1),(96,1)}
       65:{2,3,5,6}:{(47,1),(48,1),(55,1),(80,1),(82,1),(85,1)}
       66:{1,3,5}:{(48,1),(49,1),(56,1),(81,1),(83,1),(113,1),(144,1)}
       67:{2,4,6}:{(49,1),(83,1),(84,1),(87,1),(115,1),(118,1)}
       68:{2,3,5}:{(50,1),(52,1),(85,1),(86,1),(94,1),(113,1)}
       69:{1,3,4}:{(50,1),(53,1),(86,1),(87,1),(90,1),(117,1),(138,1)}
       70:{2,4,6}:{(51,1),(52,1),(55,1),(85,1),(88,1),(118,1)}
       71:{1,4,5}:{(52,1),(53,1),(56,1),(86,1),(88,1),(138,1),(144,1)}
       72:{1,2,4}:{(53,1),(54,1),(87,1),(90,1)}
       73:{1,5,6}:{(55,1),(56,1),(88,1),(144,1)}
       74:{1,2,5}:{(56,1),(57,1),(61,1),(83,1),(92,1),(144,1)}
       75:{1,3,6}:{(57,1),(62,1),(84,1),(90,1),(92,1),(117,1)}
       76:{1,4,6}:{(58,1),(59,1),(60,1),(93,1)}
       77:{2,4,5}:{(59,1),(61,1),(93,1),(94,1),(96,1)}
       78:{2,5,6}:{(60,1),(61,1),(93,1),(118,1)}
       79:{2,3,5}:{(61,1),(62,1),(92,1),(94,1),(96,1)}
       80:{2,4,6}:{(63,1),(64,1),(65,1),(97,1)}
       81:{1,4,5}:{(64,1),(66,1),(97,1),(98,1),(108,1)}
       82:{1,3,5,6}:{(65,1),(66,1),(73,1),(97,1),(99,1),(102,1),(125,1)}
       83:{2,5}:{(66,1),(67,1)}
       84:{2,3,6}:{(67,1),(75,1),(100,1),(104,1),(125,1)}
       85:{2,3,6}:{(68,1),(70,1),(102,1),(109,1),(125,1)}
       86:{1,3,5}:{(68,1),(69,1),(71,1),(102,1),(103,1)}
       87:{2,4}:{(69,1),(103,1),(104,1)}
       88:{1,4,6}:{(70,1),(71,1),(73,1),(102,1)}
       89:{1,2,4,5}:{(71,1),(72,1),(74,1),(77,1),(98,1),(103,1),(105,1),(106,1),(108,1),(131,1),(133,1),(143,1)}
       90:{1,3}:{(72,1),(104,1)}
       91:{1,2,5,6}:{(73,1),(74,1),(78,1),(99,1),(105,1),(107,1),(128,1),(143,1)}
       92:{1,3,5}:{(74,1),(75,1),(79,1),(100,1),(108,1)}
       93:{2,4,6}:{(76,1),(77,1),(78,1),(109,1)}
       94:{3,5}:{(77,1),(109,1),(110,1)}
       95:{2,3,5,6}:{(78,1),(79,1),(107,1),(109,1),(111,1),(130,1),(134,1),(143,1)}
       96:{2,4}:{(79,1),(108,1),(110,1)}
       97:{1,4,6}:{(80,1),(81,1),(82,1),(112,1)}
       98:{2,4,5}:{(81,1),(83,1),(112,1),(113,1),(115,1)}
       99:{2,5,6}:{(82,1),(83,1),(112,1),(118,1)}
      100:{2,3,5}:{(83,1),(84,1),(92,1),(113,1),(115,1)}
      101:{1,2,4}:{(87,1),(116,1),(117,1),(138,1)}
      102:{1,3,6}:{(85,1),(86,1),(88,1),(118,1)}
      103:{2,5}:{(86,1),(87,1),(118,1)}
      104:{2,3}:{(87,1),(90,1),(117,1)}
      105:{1,2,4,6}:{(88,1),(89,1),(91,1),(93,1),(112,1),(118,1),(120,1),(122,1),(139,1)}
      106:{1,3,5}:{(89,1),(90,1),(94,1),(113,1),(119,1),(120,1),(121,1)}
      107:{1,3,5,6}:{(91,1),(92,1),(95,1),(114,1),(120,1),(122,1),(137,1),(140,1),(144,1)}
      108:{1,4}:{(92,1),(96,1),(115,1)}
      109:{3,6}:{(93,1),(94,1)}
      110:{3,4}:{(94,1),(96,1)}
      111:{2,4,6}:{(95,1),(96,1),(122,1),(123,1),(124,1)}
      112:{2,4,6}:{(97,1),(98,1),(99,1),(125,1)}
      113:{3,5}:{(98,1),(125,1),(126,1)}
      114:{2,3,5,6}:{(99,1),(100,1),(107,1),(125,1),(127,1),(130,1),(141,1),(143,1)}
      115:{2,4}:{(100,1),(108,1),(126,1)}
      116:{1,2,5}:{(101,1),(103,1),(128,1),(129,1)}
      117:{1,3}:{(101,1),(104,1)}
      118:{2,6}:{(102,1),(103,1)}
      119:{2,3,5}:{(103,1),(104,1),(106,1),(129,1),(130,1),(131,1),(143,1)}
      120:{1,3,6}:{(105,1),(106,1),(109,1),(125,1),(130,1)}
      121:{1,3,4}:{(106,1),(108,1),(110,1),(126,1),(131,1)}
      122:{1,4,6}:{(107,1),(108,1),(111,1),(127,1),(133,1)}
      123:{3,4,6}:{(109,1),(110,1),(111,1),(134,1)}
      124:{2,4,5}:{(111,1),(133,1),(134,1),(143,1)}
      125:{3,6}:{(112,1),(113,1)}
      126:{3,4}:{(113,1),(115,1)}
      127:{2,4,6}:{(114,1),(115,1),(122,1),(135,1),(136,1)}
      128:{1,2,6}:{(116,1),(118,1),(137,1)}
      129:{1,3,5}:{(116,1),(117,1),(119,1),(137,1),(138,1),(144,1)}
      130:{2,3,6}:{(118,1),(119,1),(120,1),(137,1),(139,1)}
      131:{2,4}:{(119,1),(121,1),(138,1)}
      132:{1,3,4,6}:{(120,1),(121,1),(122,1),(123,1),(135,1),(139,1),(140,1)}
      133:{1,4,5}:{(122,1),(124,1),(136,1),(140,1),(144,1)}
      134:{3,5}:{(123,1),(124,1)}
      135:{3,4,6}:{(125,1),(126,1),(127,1),(141,1)}
      136:{2,4,5}:{(127,1),(133,1),(141,1),(143,1)}
      137:{1,3,6}:{(128,1),(129,1),(130,1),(142,1)}
      138:{1,4}:{(129,1),(131,1)}
      139:{2,4,6}:{(130,1),(131,1),(132,1),(142,1),(143,1)}
      140:{1,3,5}:{(132,1),(133,1),(134,1),(141,1),(143,1)}
      141:{3,5}:{(135,1),(136,1)}
      142:{1,4,6}:{(137,1),(138,1),(139,1),(144,1)}
      143:{2,5}:{(139,1),(140,1),(144,1)}
      144:{1,5}:{(142,1),(143,1)}

396 :  0:{3,4,5}:{(3,1),(4,1),(72,1),(79,1)}
       1:{2,3,4}:{(5,1),(6,1),(45,1),(66,1)}
       2:{4,5,6}:{(7,1),(80,1)}
       3:{3,4,6}:{(0,1),(7,1),(8,1)}
       4:{2,4,5}:{(0,1),(5,1),(8,1),(9,1),(66,1),(77,1)}
       5:{2,3,5}:{(1,1),(4,1),(11,1),(12,1)}
       6:{1,3,4}:{(1,1),(12,1),(13,1),(34,1),(39,1),(58,1)}
       7:{3,5,6}:{(2,1),(3,1),(14,1),(79,1)}
       8:{2,4,6}:{(3,1),(4,1),(11,1),(14,1),(15,1)}
       9:{1,4,5}:{(4,1),(12,1),(15,1),(16,1),(58,1),(74,1)}
      10:{2,3,4}:{(18,1),(19,1),(23,1),(49,1)}
      11:{2,3,6}:{(5,1),(8,1),(21,1)}
      12:{1,3,5}:{(5,1),(6,1),(9,1),(21,1),(22,1),(26,1)}
      13:{2,4}:{(6,1),(22,1),(23,1)}
      14:{2,5,6}:{(7,1),(8,1),(24,1),(77,1)}
      15:{1,4,6}:{(8,1),(9,1),(21,1),(24,1),(25,1)}
      16:{2,4,5}:{(9,1),(22,1),(25,1),(26,1),(49,1),(68,1),(69,1)}
      17:{3,4,5}:{(28,1),(29,1),(39,1),(61,1)}
      18:{2,3,5}:{(10,1),(29,1),(30,1),(31,1)}
      19:{1,3,4}:{(10,1),(31,1),(32,1),(34,1),(58,1),(72,1)}
      20:{1,2,4}:{(13,1),(32,1),(33,1),(34,1),(58,1)}
      21:{1,3,6}:{(11,1),(12,1),(15,1),(35,1),(38,1)}
      22:{2,5}:{(12,1),(13,1),(35,1)}
      23:{2,3}:{(13,1),(34,1)}
      24:{1,5,6}:{(14,1),(15,1),(37,1),(74,1)}
      25:{2,4,6}:{(15,1),(16,1),(35,1),(37,1),(38,1),(60,1)}
      26:{3,5}:{(16,1),(38,1),(39,1)}
      27:{4,5,6}:{(40,1),(69,1)}
      28:{3,4,6}:{(17,1),(40,1),(41,1)}
      29:{2,4,5}:{(17,1),(18,1),(41,1),(42,1),(49,1),(68,1)}
      30:{2,3,6}:{(18,1),(41,1),(43,1)}
      31:{1,3,5}:{(18,1),(19,1),(42,1),(43,1),(44,1),(64,1)}
      32:{2,4}:{(19,1),(44,1),(45,1)}
      33:{1,2,5}:{(20,1),(22,1),(44,1),(46,1),(47,1)}
      34:{1,3}:{(20,1),(23,1),(45,1)}
      35:{2,6}:{(21,1),(22,1)}
      36:{2,3,5}:{(22,1),(23,1),(26,1),(47,1),(48,1),(49,1),(68,1)}
      37:{2,5,6}:{(24,1),(25,1),(50,1),(68,1)}
      38:{3,6}:{(25,1),(26,1)}
      39:{3,4}:{(26,1),(49,1)}
      40:{3,5,6}:{(27,1),(28,1),(52,1),(61,1)}
      41:{2,4,6}:{(28,1),(29,1),(30,1),(52,1),(53,1)}
      42:{1,4,5}:{(29,1),(31,1),(53,1),(54,1),(58,1),(74,1)}
      43:{1,3,6}:{(30,1),(31,1),(53,1),(55,1),(71,1)}
      44:{2,5}:{(31,1),(32,1),(55,1)}
      45:{2,3}:{(32,1),(34,1)}
      46:{1,2,6}:{(33,1),(35,1),(55,1),(57,1)}
      47:{1,3,5}:{(33,1),(34,1),(36,1),(56,1),(57,1),(58,1),(74,1)}
      48:{2,3,6}:{(35,1),(36,1),(38,1),(57,1),(59,1)}
      49:{2,4}:{(36,1),(39,1),(58,1)}
      50:{3,5,6}:{(37,1),(38,1),(60,1),(61,1)}
      51:{3,4,6}:{(38,1),(39,1),(59,1),(60,1),(61,1)}
      52:{2,5,6}:{(40,1),(41,1),(62,1),(68,1)}
      53:{1,4,6}:{(41,1),(42,1),(43,1),(62,1),(63,1)}
      54:{2,4,5}:{(42,1),(44,1),(63,1),(64,1),(66,1),(77,1),(80,1)}
      55:{2,6}:{(43,1),(44,1)}
      56:{2,3,5}:{(44,1),(45,1),(47,1),(64,1),(65,1),(66,1),(77,1)}
      57:{1,3,6}:{(46,1),(47,1),(48,1),(65,1),(67,1)}
      58:{1,4}:{(47,1),(49,1),(66,1)}
      59:{2,4,6}:{(48,1),(49,1),(51,1),(67,1),(68,1)}
      60:{4,6}:{(50,1),(69,1)}
      61:{3,5}:{(51,1),(68,1),(69,1)}
      62:{1,5,6}:{(52,1),(53,1),(70,1),(74,1)}
      63:{2,4,6}:{(53,1),(54,1),(55,1),(70,1),(71,1),(78,1)}
      64:{3,5}:{(54,1),(71,1),(72,1)}
      65:{2,3,6}:{(55,1),(56,1),(57,1),(71,1),(73,1)}
      66:{2,4}:{(56,1),(58,1),(72,1)}
      67:{1,4,6}:{(57,1),(58,1),(59,1),(73,1),(74,1)}
      68:{2,5}:{(59,1),(61,1),(74,1)}
      69:{4,5}:{(60,1),(61,1)}
      70:{2,5,6}:{(62,1),(63,1),(75,1),(77,1)}
      71:{3,6}:{(63,1),(64,1)}
      72:{3,4}:{(64,1),(66,1)}
      73:{2,4,6}:{(65,1),(66,1),(67,1),(76,1),(77,1)}
      74:{1,5}:{(67,1),(68,1),(77,1)}
      75:{3,5,6}:{(70,1),(71,1),(78,1),(79,1)}
      76:{3,4,6}:{(71,1),(72,1),(73,1),(78,1),(79,1)}
      77:{2,5}:{(73,1),(74,1),(79,1)}
      78:{4,6}:{(75,1),(80,1)}
      79:{3,5}:{(76,1),(77,1),(80,1)}
      80:{4,5}:{(78,1),(79,1)}

397 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(4,1),(5,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(3,1),(5,1),(6,1)}
       3:{2,4,5}:{(2,1),(7,1),(8,1),(16,1),(28,1)}
       4:{2,5,6}:{(1,1),(9,1),(16,1),(25,1)}
       5:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       6:{3,4,6}:{(2,1),(8,1)}
       7:{1,4,5}:{(3,1),(5,1),(11,1),(12,1),(21,1),(26,1)}
       8:{3,5}:{(3,1),(6,1),(29,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1),(19,1),(22,1),(26,1),(29,1)}
      11:{2,4,5}:{(7,1),(9,1),(15,1),(16,1),(23,1)}
      12:{1,3,5}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
      13:{3,6}:{(9,1),(15,1)}
      14:{2,4,6}:{(10,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(13,1),(19,1)}
      16:{2,5}:{(12,1),(14,1),(21,1)}
      17:{2,3,6}:{(13,1),(14,1),(20,1),(22,1),(29,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,5}:{(16,1),(18,1)}
      22:{1,3,6}:{(17,1),(18,1),(24,1),(25,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(22,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

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

399 :  0:{1,2,6}:{(3,1),(4,1),(54,1)}
       1:{2,3,6}:{(4,1),(5,1),(6,1),(43,1),(54,1)}
       2:{3,4,6}:{(6,1),(7,1),(21,1),(24,1),(43,1)}
       3:{1,2,5}:{(0,1),(9,1),(10,1),(28,1),(49,1)}
       4:{1,3,6}:{(0,1),(1,1),(8,1),(10,1),(11,1),(55,1)}
       5:{2,3,5}:{(1,1),(10,1),(12,1),(13,1),(29,1),(33,1),(49,1)}
       6:{2,4,6}:{(1,1),(2,1),(11,1),(12,1),(13,1)}
       7:{3,5}:{(2,1),(13,1),(14,1)}
       8:{2,3,6}:{(4,1),(16,1),(17,1),(52,1),(54,1)}
       9:{1,2,4}:{(3,1),(18,1),(19,1),(40,1)}
      10:{1,3,5}:{(3,1),(4,1),(5,1),(16,1),(18,1),(19,1),(20,1),(39,1),(53,1)}
      11:{1,4,6}:{(4,1),(6,1),(17,1),(19,1),(20,1)}
      12:{2,4}:{(5,1),(19,1),(21,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{4,5}:{(7,1),(24,1)}
      15:{3,5,6}:{(7,1),(23,1),(24,1),(43,1)}
      16:{2,3,5}:{(8,1),(10,1),(26,1),(27,1),(29,1),(46,1),(49,1)}
      17:{2,4,6}:{(8,1),(11,1),(25,1),(26,1),(27,1)}
      18:{1,3}:{(9,1),(29,1)}
      19:{1,4}:{(10,1),(12,1),(26,1)}
      20:{1,5}:{(11,1),(13,1),(27,1)}
      21:{3,4}:{(12,1),(33,1)}
      22:{2,4,5}:{(12,1),(13,1),(14,1),(31,1),(33,1),(34,1),(49,1)}
      23:{2,5,6}:{(13,1),(15,1),(32,1),(34,1)}
      24:{4,6}:{(14,1),(15,1)}
      25:{3,4,6}:{(17,1),(35,1),(36,1),(51,1),(52,1)}
      26:{2,4}:{(16,1),(19,1),(36,1)}
      27:{2,5}:{(17,1),(20,1),(35,1)}
      28:{1,2}:{(39,1)}
      29:{2,3}:{(18,1),(39,1),(40,1)}
      30:{1,3,4}:{(18,1),(19,1),(21,1),(36,1),(40,1),(41,1)}
      31:{1,4,5}:{(19,1),(20,1),(22,1),(37,1),(41,1),(42,1),(53,1)}
      32:{1,5,6}:{(20,1),(23,1),(38,1),(42,1)}
      33:{3,5}:{(21,1),(22,1),(43,1)}
      34:{2,4,6}:{(22,1),(23,1),(24,1),(42,1),(43,1),(54,1)}
      35:{3,5}:{(25,1),(27,1),(44,1)}
      36:{3,4}:{(26,1),(46,1)}
      37:{2,4,5}:{(26,1),(27,1),(31,1),(44,1),(46,1),(47,1),(49,1)}
      38:{2,5,6}:{(27,1),(32,1),(45,1),(47,1)}
      39:{1,3}:{(28,1),(29,1),(48,1)}
      40:{2,4}:{(29,1),(30,1),(48,1),(49,1)}
      41:{1,3,5}:{(30,1),(31,1),(33,1),(46,1),(49,1),(50,1)}
      42:{1,4,6}:{(31,1),(32,1),(34,1),(47,1),(50,1),(55,1)}
      43:{3,6}:{(33,1),(34,1)}
      44:{4,5}:{(35,1),(51,1)}
      45:{3,5,6}:{(35,1),(38,1),(51,1),(52,1)}
      46:{3,5}:{(36,1),(37,1),(52,1)}
      47:{2,4,6}:{(37,1),(38,1),(42,1),(51,1),(52,1),(54,1)}
      48:{1,4}:{(39,1),(40,1),(53,1)}
      49:{2,5}:{(40,1),(41,1),(53,1),(54,1)}
      50:{1,3,6}:{(41,1),(42,1),(43,1),(52,1),(54,1)}
      51:{4,6}:{(44,1),(45,1)}
      52:{3,6}:{(46,1),(47,1)}
      53:{1,5}:{(48,1),(49,1),(55,1)}
      54:{2,6}:{(49,1),(50,1),(55,1)}
      55:{1,6}:{(53,1),(54,1)}

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

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

402 :  0:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(54,1),(57,1),(60,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(17,1),(68,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(13,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1),(57,1),(61,1)}
       4:{1,2,4,5,6}:{(2,1),(7,1),(17,1),(31,1),(46,1),(48,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(10,1),(17,1),(49,1),(53,1)}
       7:{1,3,5,6}:{(4,1),(5,1),(11,1),(12,1),(57,1)}
       8:{1,3,4,5}:{(5,1),(11,1),(13,1)}
       9:{2,3,5}:{(5,1),(6,1),(13,1),(14,1)}
      10:{1,3,4,6}:{(6,1),(14,1),(15,1),(25,1),(41,1),(45,1)}
      11:{1,3,4,6}:{(7,1),(8,1),(17,1)}
      12:{2,3,5,6}:{(7,1),(9,1),(17,1),(18,1),(46,1),(49,1)}
      13:{2,4,5}:{(8,1),(9,1),(17,1),(20,1)}
      14:{1,3,5}:{(9,1),(10,1),(20,1),(21,1)}
      15:{1,2,4,6}:{(10,1),(21,1),(22,1),(37,1)}
      16:{1,3,4,5,6}:{(11,1),(23,1),(38,1),(56,1)}
      17:{2,4,6}:{(11,1),(12,1),(13,1),(25,1)}
      18:{1,3,5,6}:{(12,1),(14,1),(25,1),(26,1),(41,1)}
      19:{2,3,4,5}:{(13,1),(24,1),(27,1),(44,1),(70,1)}
      20:{1,4,5}:{(13,1),(14,1),(25,1)}
      21:{1,2,5}:{(14,1),(15,1)}
      22:{1,2,3,6}:{(15,1),(29,1),(41,1)}
      23:{2,4,5,6}:{(16,1),(17,1),(30,1),(31,1),(46,1),(63,1)}
      24:{2,3,4,6}:{(17,1),(19,1),(30,1),(32,1),(49,1),(63,1)}
      25:{1,4,6}:{(17,1),(18,1),(20,1)}
      26:{1,2,5,6}:{(18,1),(21,1),(33,1),(46,1)}
      27:{1,3,4,5}:{(19,1),(20,1),(32,1),(35,1),(36,1),(52,1),(73,1)}
      28:{1,2,4,5}:{(20,1),(21,1),(33,1),(35,1),(36,1),(37,1)}
      29:{1,2,3,5}:{(21,1),(22,1),(36,1),(37,1)}
      30:{2,3,5,6}:{(23,1),(24,1),(38,1)}
      31:{1,4,5,6}:{(23,1),(25,1),(38,1),(69,1)}
      32:{1,3,4,6}:{(24,1),(25,1),(27,1),(38,1),(40,1),(41,1),(57,1),(69,1)}
      33:{1,2,4,6}:{(25,1),(26,1),(28,1),(40,1),(41,1)}
      34:{1,2,3,5,6}:{(26,1),(29,1),(41,1),(42,1),(55,1),(59,1)}
      35:{2,4,5}:{(27,1),(40,1),(44,1)}
      36:{1,3,5}:{(28,1),(41,1),(44,1),(45,1)}
      37:{1,2,4}:{(29,1),(45,1)}
      38:{1,3,5,6}:{(30,1),(31,1),(32,1),(46,1)}
      39:{1,2,4,5,6}:{(31,1),(33,1),(46,1),(47,1),(51,1),(63,1)}
      40:{2,4,6}:{(32,1),(35,1),(46,1),(49,1)}
      41:{1,3,6}:{(33,1),(36,1),(49,1)}
      42:{1,2,4,6}:{(34,1),(37,1),(50,1),(51,1),(63,1)}
      43:{1,2,4,5}:{(35,1),(48,1),(52,1),(68,1),(73,1),(74,1)}
      44:{2,3,5}:{(35,1),(36,1),(49,1),(52,1),(53,1)}
      45:{1,3,4}:{(36,1),(37,1),(53,1)}
      46:{2,5,6}:{(38,1),(40,1)}
      47:{1,3,5,6}:{(39,1),(41,1),(55,1),(56,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(43,1),(54,1),(57,1),(69,1)}
      49:{2,3,6}:{(40,1),(41,1),(44,1),(57,1)}
      50:{1,3,4,6}:{(41,1),(42,1),(45,1),(58,1),(59,1)}
      51:{1,2,4,5}:{(42,1),(59,1),(70,1)}
      52:{1,3,5}:{(43,1),(44,1),(57,1),(61,1)}
      53:{2,3,4}:{(44,1),(45,1),(61,1)}
      54:{1,2,5,6}:{(46,1),(48,1),(62,1),(74,1)}
      55:{2,3,5,6}:{(46,1),(47,1),(49,1),(62,1),(63,1),(67,1)}
      56:{1,3,4,6}:{(47,1),(63,1),(64,1)}
      57:{1,3,6}:{(48,1),(49,1),(52,1)}
      58:{2,3,4,6}:{(49,1),(50,1),(53,1),(63,1),(66,1),(67,1)}
      59:{1,3,5}:{(50,1),(51,1),(67,1)}
      60:{1,2,3,5}:{(52,1),(65,1),(68,1),(74,1)}
      61:{1,3,4}:{(52,1),(53,1),(68,1)}
      62:{1,3,5,6}:{(54,1),(55,1),(57,1),(69,1),(72,1)}
      63:{2,4,6}:{(55,1),(56,1),(69,1),(70,1)}
      64:{1,3,4,5}:{(56,1),(59,1),(70,1)}
      65:{1,2,3,6}:{(57,1),(60,1),(71,1)}
      66:{1,3,4,6}:{(57,1),(58,1),(61,1),(69,1),(71,1),(72,1)}
      67:{2,3,5}:{(58,1),(59,1),(70,1),(72,1)}
      68:{1,2,4}:{(60,1),(61,1)}
      69:{1,4,6}:{(62,1),(63,1),(73,1)}
      70:{2,4,5}:{(63,1),(64,1),(67,1),(73,1)}
      71:{1,2,4,6}:{(65,1),(66,1),(68,1),(74,1)}
      72:{1,3,5}:{(66,1),(67,1),(73,1),(74,1)}
      73:{1,4,5}:{(69,1),(70,1),(72,1)}
      74:{1,2,5}:{(71,1),(72,1)}

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

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

405 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

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

407 :  0:{1,3,4,5,6}:{(1,1),(5,1),(15,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(9,1),(20,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,4,5,6}:{(1,1),(5,1),(26,1)}
       4:{2,3,4,6}:{(2,1),(7,1),(8,1),(20,1),(30,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,4,5,6}:{(3,1),(9,1),(10,1),(17,1),(20,1),(33,1),(39,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(27,1),(34,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(11,1),(12,1),(24,1),(26,1)}
       9:{2,5,6}:{(5,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(14,1),(15,1),(24,1),(37,1)}
      11:{1,3,4,5}:{(7,1),(8,1),(16,1),(28,1),(33,1)}
      12:{2,4,6}:{(8,1),(9,1),(16,1),(18,1)}
      13:{1,2,5,6}:{(9,1),(17,1),(19,1),(39,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(18,1),(19,1),(20,1),(30,1),(32,1),(39,1)}
      15:{1,3,4,6}:{(10,1),(20,1),(21,1)}
      16:{2,4,5}:{(11,1),(12,1),(23,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(22,1),(24,1),(26,1),(36,1)}
      18:{2,3,6}:{(12,1),(23,1),(24,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(24,1),(26,1),(37,1)}
      20:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(37,1)}
      22:{1,2,4,5}:{(16,1),(17,1),(28,1),(33,1),(38,1),(39,1)}
      23:{2,3,5}:{(16,1),(18,1),(28,1),(29,1)}
      24:{1,3,6}:{(17,1),(18,1),(28,1),(30,1)}
      25:{2,3,4,6}:{(18,1),(20,1),(29,1),(31,1),(32,1)}
      26:{1,4,6}:{(19,1),(20,1),(33,1)}
      27:{2,4,5}:{(20,1),(21,1),(32,1),(33,1),(39,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(34,1),(35,1)}
      29:{2,3,4}:{(23,1),(35,1)}
      30:{2,3,6}:{(24,1),(34,1),(36,1)}
      31:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(36,1),(37,1)}
      32:{2,3,5}:{(25,1),(27,1),(37,1)}
      33:{1,4,5}:{(26,1),(27,1),(37,1)}
      34:{2,3,5}:{(28,1),(30,1),(38,1),(39,1)}
      35:{1,3,4}:{(28,1),(29,1),(38,1)}
      36:{2,4,6}:{(30,1),(31,1),(38,1),(39,1)}
      37:{1,3,5}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,4}:{(34,1),(35,1)}
      39:{2,5}:{(36,1),(37,1)}

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

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

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

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

412 :   0:{2,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(41,1),(72,1),(73,1),(75,1),(78,1),(100,1)}
        1:{1,3,4,6}:{(0,1),(5,1),(6,1),(8,1),(20,1),(24,1),(31,1),(50,1),(55,1),(57,1),(92,1),(93,1),(96,1),(115,1)}
        2:{2,3,5}:{(0,1),(6,1),(7,1),(90,1),(95,1),(114,1)}
        3:{1,2,4,6}:{(5,1),(8,1),(9,1),(31,1),(115,1),(116,1),(117,1)}
        4:{2,3,5,6}:{(2,1),(11,1),(12,1),(37,1),(70,1),(73,1)}
        5:{2,4,6}:{(1,1),(13,1),(14,1),(41,1),(109,1),(110,1)}
        6:{1,3,5}:{(1,1),(2,1),(14,1),(15,1),(42,1),(111,1),(126,1)}
        7:{2,4,5}:{(2,1),(12,1),(15,1),(16,1),(41,1)}
        8:{1,3,6}:{(3,1),(13,1),(18,1),(128,1)}
        9:{1,2,5}:{(3,1),(14,1),(18,1),(126,1)}
       10:{1,2,4,6}:{(5,1),(20,1),(21,1),(50,1),(96,1),(97,1),(98,1)}
       11:{1,3,5,6}:{(4,1),(6,1),(23,1),(24,1),(55,1),(89,1),(92,1)}
       12:{2,4,6}:{(4,1),(7,1),(24,1),(25,1)}
       13:{2,3,6}:{(5,1),(8,1),(20,1),(26,1),(55,1),(123,1)}
       14:{2,5}:{(5,1),(6,1)}
       15:{1,4,5}:{(6,1),(7,1),(24,1),(27,1),(31,1),(50,1)}
       16:{3,4,5}:{(7,1),(25,1),(57,1),(90,1)}
       17:{1,2,5,6}:{(9,1),(23,1),(29,1),(30,1),(89,1),(95,1),(116,1),(120,1),(134,1)}
       18:{1,3,5}:{(8,1),(9,1),(26,1),(31,1)}
       19:{1,2,4,5}:{(9,1),(27,1),(30,1),(31,1),(32,1),(59,1),(60,1),(63,1),(94,1),(95,1),(117,1),(134,1),(136,1),(143,1)}
       20:{1,3,6}:{(10,1),(13,1),(34,1),(113,1)}
       21:{1,2,5}:{(10,1),(14,1),(34,1),(111,1)}
       22:{2,4,5,6}:{(12,1),(36,1),(37,1),(70,1),(71,1),(130,1)}
       23:{2,5,6}:{(11,1),(14,1),(39,1),(109,1)}
       24:{1,4,6}:{(11,1),(12,1),(15,1),(39,1)}
       25:{3,4,6}:{(12,1),(16,1),(37,1)}
       26:{2,3,5}:{(13,1),(14,1),(18,1),(34,1),(41,1),(42,1)}
       27:{2,4,5}:{(14,1),(15,1),(39,1),(41,1),(42,1)}
       28:{1,3,4,5}:{(15,1),(16,1),(40,1),(42,1),(43,1),(46,1),(67,1),(76,1),(77,1),(99,1),(104,1),(129,1),(141,1)}
       29:{1,3,5,6}:{(17,1),(18,1),(38,1),(44,1),(45,1),(77,1),(101,1),(126,1),(140,1)}
       30:{1,2,4,6}:{(17,1),(19,1),(39,1),(44,1),(45,1),(74,1),(78,1),(109,1),(130,1)}
       31:{1,4}:{(18,1),(41,1)}
       32:{1,3,5}:{(19,1),(42,1),(45,1),(46,1),(47,1),(128,1),(141,1)}
       33:{1,2,5,6}:{(21,1),(23,1),(48,1),(49,1),(89,1),(97,1),(114,1),(120,1),(124,1)}
       34:{1,3,5}:{(20,1),(21,1),(26,1),(50,1)}
       35:{1,2,4,5}:{(21,1),(27,1),(49,1),(50,1),(51,1),(59,1),(82,1),(85,1),(94,1),(98,1),(114,1),(124,1),(136,1),(139,1)}
       36:{1,4,5,6}:{(22,1),(24,1),(52,1),(53,1),(60,1),(82,1),(89,1),(119,1)}
       37:{3,5,6}:{(22,1),(25,1),(90,1),(137,1)}
       38:{2,3,5,6}:{(23,1),(26,1),(29,1),(48,1),(54,1),(55,1),(62,1),(84,1),(90,1),(95,1),(114,1),(120,1),(137,1),(138,1)}
       39:{2,4,6}:{(23,1),(24,1),(27,1),(55,1)}
       40:{1,3,4,6}:{(24,1),(25,1),(28,1),(53,1),(55,1),(56,1),(87,1),(92,1),(119,1),(137,1)}
       41:{2,4}:{(26,1),(31,1),(50,1),(57,1)}
       42:{3,5}:{(27,1),(55,1),(57,1)}
       43:{2,4,5}:{(28,1),(56,1),(58,1),(59,1),(63,1),(85,1),(94,1),(95,1),(114,1)}
       44:{1,4,6}:{(29,1),(31,1),(54,1),(60,1),(143,1)}
       45:{1,3,6}:{(30,1),(32,1),(55,1),(62,1),(137,1)}
       46:{1,3,4}:{(31,1),(32,1),(57,1),(63,1),(143,1),(144,1)}
       47:{2,3,5}:{(32,1),(62,1),(63,1),(64,1),(94,1),(95,1),(123,1)}
       48:{1,3,5,6}:{(33,1),(34,1),(38,1),(65,1),(66,1),(79,1),(99,1),(111,1),(133,1)}
       49:{1,2,4,6}:{(33,1),(35,1),(39,1),(65,1),(66,1),(74,1),(100,1),(109,1),(130,1)}
       50:{1,4}:{(34,1),(41,1)}
       51:{1,3,5}:{(35,1),(42,1),(66,1),(67,1),(68,1),(113,1),(141,1)}
       52:{2,4,5,6}:{(36,1),(39,1),(69,1),(70,1),(71,1),(105,1)}
       53:{1,3,5,6}:{(36,1),(37,1),(40,1),(69,1),(70,1),(77,1),(99,1)}
       54:{2,4,6}:{(38,1),(41,1),(44,1),(65,1),(71,1),(72,1),(142,1)}
       55:{3,6}:{(39,1),(42,1)}
       56:{2,4,6}:{(40,1),(43,1),(70,1),(73,1),(74,1),(109,1)}
       57:{3,4}:{(41,1),(42,1)}
       58:{2,3,5}:{(42,1),(43,1),(73,1),(75,1),(76,1),(141,1)}
       59:{1,4,5}:{(43,1),(74,1),(76,1),(80,1),(102,1),(111,1),(126,1)}
       60:{1,4,5}:{(44,1),(71,1),(77,1),(126,1)}
       61:{1,3,4,6}:{(44,1),(45,1),(46,1),(72,1),(77,1),(78,1)}
       62:{2,3,6}:{(45,1),(47,1),(78,1),(79,1),(109,1)}
       63:{2,4}:{(46,1),(47,1),(80,1)}
       64:{1,3,5}:{(47,1),(79,1),(80,1),(81,1),(111,1),(113,1)}
       65:{1,4,6}:{(48,1),(50,1),(54,1),(82,1),(139,1)}
       66:{1,3,6}:{(49,1),(51,1),(55,1),(84,1),(137,1)}
       67:{1,3,4}:{(50,1),(51,1),(57,1),(85,1),(139,1),(144,1)}
       68:{2,3,5}:{(51,1),(84,1),(85,1),(86,1),(94,1),(114,1),(123,1)}
       69:{3,5,6}:{(52,1),(55,1),(87,1),(90,1)}
       70:{2,5,6}:{(53,1),(56,1),(89,1),(95,1),(114,1)}
       71:{2,4,5}:{(54,1),(60,1),(82,1),(90,1),(95,1),(114,1)}
       72:{3,4,6}:{(54,1),(55,1),(57,1),(90,1),(137,1),(144,1)}
       73:{2,3,6}:{(55,1),(56,1),(58,1),(92,1),(137,1)}
       74:{1,4,6}:{(56,1),(59,1),(89,1),(92,1)}
       75:{2,3,4}:{(57,1),(58,1),(63,1),(85,1),(93,1),(123,1),(144,1)}
       76:{1,3,5}:{(58,1),(59,1),(92,1),(93,1),(94,1)}
       77:{1,3,5}:{(60,1),(61,1),(90,1),(95,1)}
       78:{2,4,6}:{(61,1),(62,1),(63,1),(95,1),(96,1)}
       79:{1,3,6}:{(62,1),(64,1),(96,1),(97,1)}
       80:{1,4}:{(63,1),(64,1)}
       81:{1,2,5}:{(64,1),(94,1),(97,1),(98,1)}
       82:{1,4,5}:{(65,1),(71,1),(99,1),(111,1)}
       83:{1,3,4,6}:{(65,1),(66,1),(67,1),(72,1),(99,1),(100,1)}
       84:{2,3,6}:{(66,1),(68,1),(100,1),(101,1),(109,1)}
       85:{2,4}:{(67,1),(68,1),(102,1)}
       86:{1,3,5}:{(68,1),(101,1),(102,1),(103,1),(126,1),(128,1)}
       87:{3,4,6}:{(69,1),(104,1),(105,1)}
       88:{2,3,5,6}:{(69,1),(70,1),(73,1),(105,1),(106,1),(107,1)}
       89:{1,5,6}:{(70,1),(74,1),(111,1),(126,1)}
       90:{3,5}:{(71,1),(72,1)}
       91:{2,3,4,6}:{(72,1),(73,1),(75,1),(78,1),(100,1),(105,1),(107,1),(108,1),(132,1),(142,1)}
       92:{1,3,6}:{(73,1),(74,1),(76,1),(109,1)}
       93:{1,3,4}:{(75,1),(76,1),(80,1),(102,1),(110,1),(113,1),(128,1)}
       94:{2,5}:{(76,1),(109,1),(110,1)}
       95:{2,5}:{(77,1),(78,1),(111,1)}
       96:{1,4,6}:{(78,1),(79,1),(80,1),(111,1)}
       97:{1,2,6}:{(79,1),(81,1),(109,1)}
       98:{1,2,4}:{(80,1),(81,1),(110,1),(113,1)}
       99:{1,3,5}:{(82,1),(83,1),(90,1),(114,1)}
      100:{2,4,6}:{(83,1),(84,1),(85,1),(114,1),(115,1)}
      101:{1,3,6}:{(84,1),(86,1),(115,1),(116,1)}
      102:{1,4}:{(85,1),(86,1)}
      103:{1,2,5}:{(86,1),(94,1),(116,1),(117,1)}
      104:{3,4,5}:{(87,1),(90,1),(118,1),(144,1)}
      105:{2,4,6}:{(87,1),(88,1),(118,1),(119,1)}
      106:{1,3,5,6}:{(88,1),(89,1),(92,1),(119,1),(120,1),(121,1),(137,1)}
      107:{2,3,5}:{(90,1),(91,1),(95,1),(114,1),(118,1),(121,1)}
      108:{1,3,4,6}:{(91,1),(92,1),(93,1),(96,1),(115,1),(119,1),(121,1),(122,1),(125,1),(135,1),(137,1),(139,1),(143,1),(144,1)}
      109:{2,6}:{(92,1),(94,1)}
      110:{2,4}:{(93,1),(94,1),(123,1)}
      111:{1,5}:{(95,1),(96,1)}
      112:{1,2,4,6}:{(96,1),(97,1),(98,1),(122,1),(124,1),(125,1),(139,1)}
      113:{1,3}:{(98,1),(123,1)}
      114:{2,5}:{(99,1),(100,1),(126,1)}
      115:{1,4,6}:{(100,1),(101,1),(102,1),(126,1)}
      116:{1,2,6}:{(101,1),(103,1),(109,1)}
      117:{1,2,4}:{(102,1),(103,1),(110,1),(128,1)}
      118:{2,4,5}:{(104,1),(105,1),(107,1),(129,1),(142,1)}
      119:{1,4,6}:{(105,1),(106,1),(129,1),(130,1)}
      120:{2,5,6}:{(106,1),(109,1),(130,1),(131,1)}
      121:{1,3,5}:{(107,1),(108,1),(111,1),(126,1),(129,1),(131,1),(141,1)}
      122:{2,4,6}:{(108,1),(109,1),(110,1),(131,1),(132,1),(142,1)}
      123:{2,3}:{(110,1),(113,1),(128,1)}
      124:{1,2,5}:{(111,1),(112,1),(131,1),(133,1)}
      125:{1,3,6}:{(112,1),(113,1),(132,1),(133,1)}
      126:{1,5}:{(114,1),(115,1)}
      127:{1,2,4,6}:{(115,1),(116,1),(117,1),(122,1),(134,1),(135,1),(143,1)}
      128:{1,3}:{(117,1),(123,1)}
      129:{1,4,5}:{(118,1),(119,1),(121,1),(136,1),(139,1),(143,1)}
      130:{2,4,6}:{(119,1),(120,1),(136,1),(137,1)}
      131:{2,5}:{(121,1),(122,1)}
      132:{2,3,6}:{(122,1),(123,1),(125,1),(135,1),(137,1),(138,1)}
      133:{1,3,5}:{(124,1),(125,1),(138,1),(139,1)}
      134:{1,2,5}:{(126,1),(127,1),(131,1),(140,1)}
      135:{1,3,6}:{(127,1),(128,1),(132,1),(140,1)}
      136:{2,4,5}:{(129,1),(130,1),(131,1),(141,1),(142,1)}
      137:{3,6}:{(130,1),(141,1)}
      138:{2,3,5}:{(131,1),(132,1),(133,1),(140,1),(141,1),(142,1)}
      139:{1,4}:{(133,1),(142,1)}
      140:{1,3,5}:{(134,1),(135,1),(138,1),(143,1)}
      141:{3,5}:{(136,1),(137,1),(144,1)}
      142:{2,4}:{(138,1),(139,1),(143,1),(144,1)}
      143:{1,4}:{(140,1),(142,1)}
      144:{3,4}:{(141,1),(142,1)}

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

414 :   0:{1,2,4,5}:{(2,1),(3,1),(14,1),(17,1),(46,1),(53,1),(54,1),(80,1),(121,1),(127,1),(151,1)}
        1:{1,3,4,5}:{(5,1),(6,1),(7,1),(22,1),(27,1),(34,1),(60,1),(110,1),(111,1),(143,1)}
        2:{1,3,5}:{(0,1),(7,1),(8,1),(9,1),(101,1),(143,1)}
        3:{1,2,4,6}:{(0,1),(9,1),(10,1),(29,1),(33,1),(38,1),(68,1),(112,1)}
        4:{1,2,4,5}:{(11,1),(12,1),(14,1),(39,1),(46,1),(51,1),(82,1),(83,1),(96,1),(127,1),(132,1)}
        5:{2,4,5}:{(1,1),(13,1),(14,1),(15,1),(17,1),(39,1),(46,1),(53,1),(82,1)}
        6:{1,3,4,6}:{(1,1),(15,1),(16,1),(47,1),(92,1),(93,1),(129,1)}
        7:{1,3,4}:{(2,1),(17,1),(151,1),(156,1)}
        8:{2,3,5}:{(2,1),(17,1),(19,1),(20,1),(46,1),(53,1),(87,1)}
        9:{1,3,6}:{(2,1),(3,1),(20,1),(129,1)}
       10:{1,2,5,6}:{(3,1),(21,1),(49,1),(53,1),(91,1),(121,1),(162,1)}
       11:{1,3,5}:{(4,1),(22,1),(23,1),(24,1),(73,1),(143,1)}
       12:{1,2,4,6}:{(4,1),(24,1),(25,1),(29,1),(59,1),(64,1),(68,1),(112,1)}
       13:{2,3,5}:{(5,1),(26,1),(27,1),(28,1),(143,1)}
       14:{1,4,5}:{(5,1),(27,1),(29,1),(32,1),(58,1),(75,1),(103,1)}
       15:{2,4,6}:{(5,1),(6,1),(28,1),(29,1),(30,1),(68,1)}
       16:{1,3,5,6}:{(6,1),(30,1),(31,1),(34,1),(60,1),(72,1)}
       17:{2,4}:{(7,1),(8,1),(32,1)}
       18:{1,3,4,6}:{(7,1),(9,1),(33,1),(34,1),(38,1),(79,1)}
       19:{1,3,5}:{(8,1),(32,1),(35,1),(36,1),(73,1),(75,1)}
       20:{2,3,6}:{(8,1),(9,1),(33,1),(36,1),(68,1)}
       21:{1,3,5,6}:{(9,1),(10,1),(34,1),(37,1),(38,1),(137,1),(149,1),(150,1)}
       22:{1,3,4}:{(11,1),(39,1),(132,1),(156,1)}
       23:{2,3,5}:{(11,1),(39,1),(41,1),(42,1),(46,1),(82,1),(87,1)}
       24:{1,3,6}:{(11,1),(12,1),(42,1),(129,1)}
       25:{1,2,5,6}:{(12,1),(43,1),(49,1),(82,1),(91,1),(96,1),(174,1)}
       26:{2,3,4}:{(13,1),(17,1),(39,1),(44,1),(87,1),(156,1)}
       27:{1,3,5}:{(13,1),(14,1),(44,1),(46,1),(47,1)}
       28:{2,3,6}:{(13,1),(15,1),(47,1),(129,1)}
       29:{1,4,6}:{(14,1),(15,1),(47,1),(49,1)}
       30:{2,5,6}:{(15,1),(16,1),(49,1),(53,1),(82,1)}
       31:{1,4,5,6}:{(16,1),(50,1),(54,1),(83,1),(92,1),(131,1)}
       32:{1,4}:{(17,1),(19,1)}
       33:{2,4,6}:{(17,1),(18,1),(20,1),(52,1),(53,1)}
       34:{1,3,5}:{(18,1),(53,1),(54,1),(98,1)}
       35:{1,2,5}:{(19,1),(46,1),(51,1),(55,1)}
       36:{1,3,6}:{(19,1),(20,1),(52,1),(55,1)}
       37:{2,3,5,6}:{(20,1),(21,1),(53,1),(56,1),(57,1),(91,1),(98,1),(126,1),(129,1),(134,1),(135,1)}
       38:{1,4,6}:{(21,1),(54,1),(57,1),(151,1)}
       39:{2,4}:{(22,1),(23,1),(58,1)}
       40:{1,3,4,6}:{(22,1),(24,1),(59,1),(60,1),(64,1),(107,1)}
       41:{1,3,5}:{(23,1),(58,1),(61,1),(62,1),(101,1),(103,1)}
       42:{2,3,6}:{(23,1),(24,1),(59,1),(62,1),(68,1)}
       43:{1,3,5,6}:{(24,1),(25,1),(60,1),(63,1),(64,1),(115,1),(165,1),(166,1)}
       44:{1,3,4}:{(26,1),(27,1),(32,1),(58,1),(65,1),(73,1),(101,1)}
       45:{2,3,4,6}:{(26,1),(28,1),(33,1),(59,1),(66,1),(67,1),(70,1),(79,1),(107,1),(108,1),(119,1),(141,1),(142,1),(145,1),(167,1)}
       46:{2,5}:{(27,1),(65,1),(68,1)}
       47:{1,3,6}:{(27,1),(28,1),(29,1),(68,1)}
       48:{2,3,5,6}:{(28,1),(30,1),(67,1),(69,1),(70,1),(72,1),(114,1),(145,1)}
       49:{1,5,6}:{(29,1),(30,1),(75,1),(103,1)}
       50:{2,4,5,6}:{(30,1),(31,1),(70,1),(71,1),(72,1),(76,1),(104,1),(112,1),(114,1)}
       51:{1,2,4}:{(32,1),(35,1),(65,1),(73,1)}
       52:{1,4,6}:{(32,1),(33,1),(36,1),(75,1)}
       53:{2,5}:{(33,1),(34,1),(75,1)}
       54:{1,4,5}:{(34,1),(38,1),(76,1),(149,1)}
       55:{1,2,6}:{(35,1),(36,1),(68,1)}
       56:{1,3,5,6}:{(36,1),(37,1),(75,1),(77,1),(78,1),(115,1),(117,1),(118,1)}
       57:{2,4,6}:{(37,1),(38,1),(76,1),(78,1),(79,1),(142,1)}
       58:{1,4}:{(39,1),(41,1)}
       59:{2,4,6}:{(39,1),(40,1),(42,1),(81,1),(82,1)}
       60:{1,3,5}:{(40,1),(82,1),(83,1),(123,1)}
       61:{1,2,5}:{(41,1),(46,1),(80,1),(84,1)}
       62:{1,3,6}:{(41,1),(42,1),(81,1),(84,1)}
       63:{2,3,5,6}:{(42,1),(43,1),(82,1),(85,1),(86,1),(91,1),(123,1),(126,1),(129,1),(153,1),(154,1)}
       64:{1,4,6}:{(43,1),(83,1),(86,1),(132,1)}
       65:{2,4}:{(44,1),(46,1),(87,1)}
       66:{1,3,4,6}:{(44,1),(45,1),(47,1),(52,1),(81,1),(88,1),(89,1),(92,1),(95,1),(120,1),(129,1),(132,1),(136,1),(151,1),(155,1),(156,1),(159,1),(175,1)}
       67:{2,3,5}:{(45,1),(53,1),(82,1),(89,1),(90,1),(98,1),(123,1),(134,1),(153,1)}
       68:{2,6}:{(46,1),(47,1)}
       69:{1,3,5,6}:{(47,1),(48,1),(49,1),(89,1),(91,1),(92,1),(129,1),(131,1),(159,1)}
       70:{2,4,6}:{(48,1),(90,1),(92,1),(93,1)}
       71:{1,4,5,6}:{(49,1),(50,1),(92,1),(94,1),(97,1),(122,1)}
       72:{3,5,6}:{(50,1),(93,1),(98,1),(123,1),(129,1)}
       73:{1,3}:{(51,1),(87,1)}
       74:{1,2,4,6}:{(51,1),(52,1),(55,1),(88,1),(95,1),(96,1),(132,1),(155,1),(174,1),(182,1)}
       75:{1,5}:{(52,1),(53,1)}
       76:{2,4,5}:{(53,1),(54,1),(57,1),(97,1),(98,1),(134,1)}
       77:{1,2,5,6}:{(55,1),(56,1),(91,1),(96,1),(99,1),(131,1),(134,1)}
       78:{1,4,6}:{(56,1),(57,1),(97,1),(132,1)}
       79:{3,4,6}:{(57,1),(98,1),(129,1),(156,1)}
       80:{1,2,4}:{(58,1),(61,1),(65,1),(101,1)}
       81:{1,4,6}:{(58,1),(59,1),(62,1),(103,1)}
       82:{2,5}:{(59,1),(60,1),(103,1)}
       83:{1,4,5}:{(60,1),(64,1),(104,1),(165,1)}
       84:{1,2,6}:{(61,1),(62,1),(68,1)}
       85:{1,3,5,6}:{(62,1),(63,1),(103,1),(105,1),(106,1),(137,1),(139,1),(140,1)}
       86:{2,4,6}:{(63,1),(64,1),(104,1),(106,1),(107,1),(142,1)}
       87:{2,3}:{(65,1),(73,1),(101,1)}
       88:{2,4,6}:{(65,1),(66,1),(68,1),(108,1),(109,1),(142,1),(169,1),(180,1)}
       89:{1,3,5}:{(66,1),(67,1),(75,1),(103,1),(109,1),(110,1),(143,1),(149,1),(165,1)}
       90:{2,4,5}:{(67,1),(70,1),(110,1),(111,1),(142,1)}
       91:{2,5,6}:{(68,1),(69,1),(109,1),(112,1),(169,1)}
       92:{1,4,6}:{(69,1),(70,1),(110,1),(112,1)}
       93:{3,4,6}:{(70,1),(72,1),(111,1)}
       94:{1,3,5,6}:{(71,1),(72,1),(113,1),(114,1),(117,1),(139,1)}
       95:{1,3,6}:{(73,1),(74,1),(108,1),(115,1),(184,1)}
       96:{1,2,5}:{(74,1),(75,1),(109,1),(115,1),(165,1)}
       97:{1,4,5}:{(75,1),(76,1),(78,1),(117,1)}
       98:{3,5}:{(76,1),(79,1)}
       99:{1,2,4,6}:{(77,1),(78,1),(112,1),(116,1),(118,1),(119,1),(146,1),(169,1)}
      100:{1,3,4,6}:{(78,1),(79,1),(117,1),(118,1),(119,1),(147,1)}
      101:{1,3}:{(80,1),(87,1)}
      102:{1,2,4,6}:{(80,1),(81,1),(84,1),(88,1),(120,1),(121,1),(136,1),(151,1),(162,1),(177,1)}
      103:{1,5}:{(81,1),(82,1)}
      104:{2,4,5}:{(82,1),(83,1),(86,1),(122,1),(123,1),(153,1)}
      105:{1,2,5,6}:{(84,1),(85,1),(91,1),(121,1),(124,1),(131,1),(153,1)}
      106:{1,4,6}:{(85,1),(86,1),(122,1),(151,1)}
      107:{3,4,6}:{(86,1),(123,1),(129,1),(156,1)}
      108:{2,3,6}:{(87,1),(88,1),(95,1),(120,1),(126,1),(129,1),(183,1)}
      109:{2,5}:{(88,1),(89,1)}
      110:{1,4,5}:{(89,1),(90,1),(92,1),(127,1),(132,1),(151,1)}
      111:{3,4,5}:{(90,1),(93,1),(98,1),(123,1),(156,1)}
      112:{2,4,6}:{(91,1),(92,1),(127,1),(129,1)}
      113:{1,3,4,6}:{(92,1),(93,1),(94,1),(128,1),(129,1),(130,1),(159,1)}
      114:{2,5,6}:{(94,1),(130,1),(131,1),(134,1),(153,1)}
      115:{1,3,5}:{(95,1),(96,1),(126,1),(132,1)}
      116:{1,2,4,5}:{(96,1),(97,1),(99,1),(127,1),(132,1),(133,1),(134,1),(158,1),(160,1),(176,1),(182,1)}
      117:{1,3,5}:{(97,1),(98,1),(100,1),(134,1)}
      118:{1,3,6}:{(99,1),(129,1),(133,1),(135,1)}
      119:{2,4,6}:{(100,1),(134,1),(135,1),(136,1),(160,1)}
      120:{1,3,6}:{(101,1),(102,1),(108,1),(137,1),(181,1)}
      121:{1,2,5}:{(102,1),(103,1),(109,1),(137,1),(149,1)}
      122:{1,4,5}:{(103,1),(104,1),(106,1),(139,1)}
      123:{3,5}:{(104,1),(107,1)}
      124:{1,2,4,6}:{(105,1),(106,1),(112,1),(138,1),(140,1),(141,1),(146,1),(169,1)}
      125:{1,3,4,6}:{(106,1),(107,1),(139,1),(140,1),(141,1),(163,1)}
      126:{2,3,5}:{(108,1),(109,1),(115,1),(137,1),(142,1),(143,1)}
      127:{2,4,5}:{(109,1),(110,1),(112,1),(142,1),(143,1)}
      128:{1,3,4,5}:{(110,1),(111,1),(113,1),(117,1),(139,1),(143,1),(144,1),(147,1),(163,1),(168,1)}
      129:{3,6}:{(112,1),(143,1)}
      130:{2,4,6}:{(113,1),(114,1),(144,1),(145,1),(146,1),(169,1)}
      131:{1,5,6}:{(114,1),(146,1),(149,1),(165,1)}
      132:{1,4}:{(115,1),(142,1)}
      133:{1,3,5}:{(116,1),(118,1),(143,1),(147,1),(148,1),(184,1)}
      134:{2,5}:{(117,1),(119,1),(149,1)}
      135:{2,3,6}:{(118,1),(119,1),(148,1),(150,1),(169,1)}
      136:{1,4,6}:{(119,1),(149,1),(150,1),(170,1)}
      137:{1,3,5}:{(120,1),(121,1),(126,1),(151,1)}
      138:{1,2,4,5}:{(121,1),(122,1),(124,1),(127,1),(151,1),(152,1),(153,1),(158,1),(172,1),(176,1),(177,1)}
      139:{1,3,5}:{(122,1),(123,1),(125,1),(153,1)}
      140:{1,3,6}:{(124,1),(129,1),(152,1),(154,1)}
      141:{2,4,6}:{(125,1),(153,1),(154,1),(155,1),(172,1)}
      142:{2,4}:{(126,1),(132,1),(151,1),(156,1)}
      143:{3,5}:{(127,1),(129,1),(156,1)}
      144:{2,4,5}:{(128,1),(130,1),(134,1),(153,1),(157,1),(158,1),(160,1),(172,1),(176,1)}
      145:{2,3,6}:{(129,1),(130,1),(157,1),(159,1)}
      146:{1,4,6}:{(130,1),(131,1),(158,1),(159,1)}
      147:{1,3,4}:{(132,1),(133,1),(156,1),(160,1)}
      148:{2,3,5}:{(133,1),(134,1),(135,1),(160,1),(161,1),(176,1),(183,1)}
      149:{1,5}:{(134,1),(136,1)}
      150:{1,3,6}:{(135,1),(136,1),(161,1),(162,1)}
      151:{1,4}:{(137,1),(142,1)}
      152:{1,3,5}:{(138,1),(140,1),(143,1),(163,1),(164,1),(181,1)}
      153:{2,5}:{(139,1),(141,1),(165,1)}
      154:{2,3,6}:{(140,1),(141,1),(164,1),(166,1),(169,1)}
      155:{1,4,6}:{(141,1),(165,1),(166,1),(178,1)}
      156:{3,4}:{(142,1),(143,1)}
      157:{2,3,5}:{(143,1),(144,1),(145,1),(167,1),(168,1)}
      158:{1,4,5}:{(144,1),(146,1),(149,1),(165,1),(168,1),(170,1),(178,1)}
      159:{1,3,6}:{(145,1),(146,1),(168,1),(169,1)}
      160:{2,4}:{(147,1),(148,1),(170,1)}
      161:{1,3,5}:{(148,1),(149,1),(150,1),(170,1),(171,1),(181,1)}
      162:{1,2,6}:{(150,1),(169,1),(171,1)}
      163:{1,3,4}:{(151,1),(152,1),(156,1),(172,1)}
      164:{2,3,5}:{(152,1),(153,1),(154,1),(172,1),(173,1),(176,1),(183,1)}
      165:{1,5}:{(153,1),(155,1)}
      166:{1,3,6}:{(154,1),(155,1),(173,1),(174,1)}
      167:{2,3,4}:{(156,1),(157,1),(160,1),(172,1),(175,1),(183,1)}
      168:{1,3,5}:{(157,1),(158,1),(159,1),(175,1),(176,1)}
      169:{2,6}:{(159,1),(176,1)}
      170:{1,4}:{(160,1),(161,1)}
      171:{1,2,5}:{(161,1),(162,1),(176,1),(177,1)}
      172:{2,4}:{(163,1),(164,1),(178,1)}
      173:{1,3,5}:{(164,1),(165,1),(166,1),(178,1),(179,1),(184,1)}
      174:{1,2,6}:{(166,1),(169,1),(179,1)}
      175:{1,3,4}:{(167,1),(168,1),(170,1),(178,1),(180,1),(181,1),(184,1)}
      176:{2,5}:{(168,1),(169,1),(180,1)}
      177:{1,2,4}:{(170,1),(171,1),(180,1),(181,1)}
      178:{1,4}:{(172,1),(173,1)}
      179:{1,2,5}:{(173,1),(174,1),(176,1),(182,1)}
      180:{2,4}:{(175,1),(176,1),(183,1)}
      181:{1,3}:{(177,1),(183,1)}
      182:{1,2,4}:{(178,1),(179,1),(180,1),(184,1)}
      183:{2,3}:{(180,1),(181,1),(184,1)}
      184:{1,3}:{(182,1),(183,1)}

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

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

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

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

419 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(12,1)}
       1:{1,3,6}:{(0,1),(4,1),(6,1),(44,1)}
       2:{1,2,5}:{(0,1),(6,1),(16,1),(41,1)}
       3:{1,2,6}:{(7,1),(8,1),(42,1)}
       4:{2,3,6}:{(1,1),(7,1),(9,1),(10,1),(37,1),(42,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(25,1),(26,1),(37,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(36,1),(43,1)}
       7:{1,3,6}:{(3,1),(4,1),(13,1),(14,1)}
       8:{1,2,5}:{(3,1),(14,1),(15,1),(39,1)}
       9:{2,4,6}:{(4,1),(5,1),(13,1),(16,1),(17,1)}
      10:{2,3,5}:{(4,1),(6,1),(14,1),(16,1),(17,1),(30,1),(32,1),(39,1)}
      11:{1,3,5}:{(5,1),(16,1),(19,1),(32,1)}
      12:{1,4}:{(6,1),(17,1)}
      13:{1,4,6}:{(7,1),(9,1),(20,1),(21,1)}
      14:{1,3,5}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1)}
      15:{1,2,4}:{(8,1),(21,1),(22,1),(35,1)}
      16:{2,5}:{(9,1),(11,1),(20,1)}
      17:{2,4}:{(10,1),(12,1),(21,1),(25,1)}
      18:{1,3,5,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(43,1)}
      20:{1,5}:{(13,1),(16,1)}
      21:{1,4}:{(14,1),(17,1)}
      22:{1,3}:{(15,1),(30,1)}
      23:{2,5,6}:{(16,1),(18,1),(27,1),(31,1)}
      24:{2,4,5}:{(16,1),(17,1),(19,1),(28,1),(31,1),(32,1),(39,1)}
      25:{3,4}:{(17,1),(32,1)}
      26:{1,4,6}:{(18,1),(19,1),(31,1),(44,1)}
      27:{1,5,6}:{(20,1),(23,1),(33,1)}
      28:{1,4,5}:{(20,1),(21,1),(24,1),(33,1),(34,1)}
      29:{1,3,4}:{(21,1),(22,1),(25,1),(34,1),(35,1)}
      30:{2,3}:{(22,1),(35,1),(36,1)}
      31:{2,4,6}:{(23,1),(24,1),(26,1),(33,1),(37,1),(42,1)}
      32:{3,5}:{(24,1),(25,1),(37,1)}
      33:{1,4,6}:{(27,1),(28,1),(31,1),(38,1)}
      34:{1,3,5}:{(28,1),(29,1),(32,1),(38,1),(39,1)}
      35:{2,4}:{(29,1),(30,1),(39,1),(40,1)}
      36:{1,3}:{(30,1),(40,1),(41,1)}
      37:{3,6}:{(31,1),(32,1)}
      38:{1,3,6}:{(33,1),(34,1),(37,1),(42,1)}
      39:{2,5}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4}:{(35,1),(36,1),(43,1)}
      41:{1,2}:{(36,1)}
      42:{2,6}:{(38,1),(39,1),(44,1)}
      43:{1,5}:{(39,1),(40,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

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

421 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1)}
       2:{1,2,3}:{(5,1)}
       3:{1,3,4}:{(1,1),(6,1),(7,1)}
       4:{1,2,5}:{(1,1),(7,1),(8,1)}
       5:{1,2,4}:{(2,1),(9,1),(10,1)}
       6:{2,3,4}:{(3,1),(9,1),(11,1)}
       7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
       8:{1,2,6}:{(4,1),(13,1)}
       9:{1,3,4}:{(5,1),(6,1),(14,1)}
      10:{1,2,5}:{(5,1),(14,1),(15,1)}
      11:{2,3,5}:{(6,1),(7,1),(14,1),(16,1),(17,1)}
      12:{1,4,5}:{(7,1),(16,1),(18,1)}
      13:{1,3,6}:{(7,1),(8,1),(17,1),(18,1)}
      14:{1,3,5}:{(9,1),(10,1),(11,1),(19,1),(20,1)}
      15:{1,2,6}:{(10,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(19,1),(21,1),(22,1)}
      17:{2,3,6}:{(11,1),(13,1),(20,1),(22,1)}
      18:{1,4,6}:{(12,1),(13,1),(22,1),(23,1)}
      19:{1,4,5}:{(14,1),(16,1),(24,1)}
      20:{1,3,6}:{(14,1),(15,1),(17,1),(24,1)}
      21:{3,4,5}:{(16,1),(25,1)}
      22:{2,4,6}:{(16,1),(17,1),(18,1),(24,1),(25,1),(26,1)}
      23:{1,5,6}:{(18,1),(26,1)}
      24:{1,4,6}:{(19,1),(20,1),(22,1),(27,1)}
      25:{3,4,6}:{(21,1),(22,1),(28,1)}
      26:{2,5,6}:{(22,1),(23,1),(27,1),(28,1)}
      27:{1,5,6}:{(24,1),(26,1)}
      28:{3,5,6}:{(25,1),(26,1),(29,1)}
      29:{4,5,6}:{(28,1)}

422 :  0:{2,3,5,6}:{(1,1),(2,1),(10,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(3,1),(4,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(4,1),(5,1),(6,1)}
       3:{2,5,6}:{(1,1),(7,1),(17,1),(25,1)}
       4:{1,4,6}:{(1,1),(2,1),(7,1),(8,1)}
       5:{2,4,5}:{(2,1),(8,1),(10,1),(17,1),(28,1)}
       6:{3,4,6}:{(2,1),(10,1)}
       7:{2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,4,5}:{(4,1),(5,1),(11,1),(13,1),(22,1),(26,1)}
       9:{1,3,4,6}:{(4,1),(6,1),(12,1),(13,1),(14,1),(19,1),(21,1),(26,1),(29,1)}
      10:{3,5}:{(5,1),(6,1),(29,1)}
      11:{2,4,5}:{(7,1),(8,1),(15,1),(17,1),(23,1)}
      12:{3,6}:{(7,1),(15,1)}
      13:{1,3,5}:{(8,1),(9,1),(10,1),(15,1),(17,1)}
      14:{2,4,6}:{(9,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(12,1),(19,1)}
      16:{2,3,6}:{(12,1),(14,1),(20,1),(21,1),(29,1)}
      17:{2,5}:{(13,1),(14,1),(22,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,5}:{(17,1),(18,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(21,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

423 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(43,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(25,1),(38,1)}
       2:{1,3,4,5}:{(0,1),(5,1),(6,1),(13,1),(40,1),(41,1)}
       3:{3,4,5,6}:{(8,1),(42,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(20,1),(34,1),(36,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,5}:{(6,1),(12,1),(13,1),(26,1),(39,1),(40,1)}
       8:{2,4,5,6}:{(3,1),(4,1),(14,1),(38,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(29,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{2,3,5}:{(6,1),(13,1),(16,1),(17,1)}
      12:{1,2,4,6}:{(7,1),(10,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,3,5}:{(7,1),(11,1),(18,1),(20,1),(21,1)}
      14:{1,4,5,6}:{(8,1),(9,1),(22,1),(34,1)}
      15:{2,5,6}:{(9,1),(10,1)}
      16:{2,3,6}:{(10,1),(11,1),(20,1)}
      17:{2,3,4}:{(11,1),(21,1)}
      18:{2,3,5}:{(13,1),(25,1),(26,1),(39,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(27,1),(39,1)}
      20:{1,3,6}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,3,4}:{(13,1),(17,1),(26,1)}
      22:{2,4,5,6}:{(14,1),(15,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(27,1),(29,1),(30,1),(31,1)}
      24:{2,3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1)}
      25:{2,3,6}:{(18,1),(20,1),(33,1)}
      26:{2,4}:{(18,1),(21,1)}
      27:{1,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1)}
      28:{1,3,4,6}:{(20,1),(21,1),(24,1),(33,1),(34,1),(35,1),(42,1)}
      29:{3,5,6}:{(22,1),(36,1)}
      30:{2,4,6}:{(23,1),(34,1),(36,1),(37,1)}
      31:{2,3,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(38,1),(39,1),(44,1)}
      33:{2,4,6}:{(25,1),(26,1),(28,1),(39,1)}
      34:{1,4,6}:{(27,1),(30,1),(38,1),(40,1)}
      35:{1,3,5}:{(28,1),(31,1),(39,1),(40,1),(44,1)}
      36:{3,4,6}:{(29,1),(30,1),(41,1)}
      37:{2,4,5}:{(30,1),(31,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(34,1),(42,1),(43,1)}
      39:{2,5}:{(33,1),(35,1)}
      40:{1,4,5}:{(34,1),(35,1),(37,1),(43,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{3,4,6}:{(38,1),(44,1)}
      43:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

424 :  0:{3,4,5,6}:{(1,1),(41,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(36,1)}
       2:{2,3,5,6}:{(1,1),(5,1),(6,1)}
       3:{1,4,5,6}:{(1,1),(6,1),(7,1),(29,1)}
       4:{2,3,4,5}:{(5,1),(8,1),(31,1),(42,1)}
       5:{2,3,4,6}:{(2,1),(4,1),(9,1),(33,1),(36,1)}
       6:{1,3,5,6}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
       7:{2,4,5,6}:{(3,1),(10,1),(11,1),(22,1)}
       8:{1,3,4,5}:{(4,1),(9,1),(12,1),(23,1),(24,1),(37,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(8,1),(13,1),(16,1),(26,1),(29,1)}
      10:{2,5,6}:{(6,1),(13,1)}
      11:{3,5,6}:{(7,1),(16,1)}
      12:{2,4,5}:{(8,1),(13,1),(18,1)}
      13:{2,4,6}:{(9,1),(10,1),(12,1),(20,1)}
      14:{1,2,5,6}:{(10,1),(19,1),(21,1),(43,1)}
      15:{2,3,5,6}:{(10,1),(11,1),(20,1),(21,1),(22,1),(35,1)}
      16:{3,4,6}:{(11,1),(22,1),(23,1)}
      17:{1,2,4,5}:{(12,1),(19,1),(24,1),(37,1),(38,1),(43,1)}
      18:{2,3,5}:{(12,1),(20,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(17,1),(26,1),(29,1),(39,1)}
      20:{2,3,6}:{(13,1),(18,1),(26,1)}
      21:{1,3,5,6}:{(14,1),(15,1),(26,1),(28,1),(29,1),(40,1)}
      22:{2,4,6}:{(15,1),(16,1),(29,1),(30,1)}
      23:{3,4,5}:{(16,1),(30,1)}
      24:{1,3,5}:{(17,1),(18,1),(26,1),(31,1),(32,1)}
      25:{2,3,4}:{(18,1),(32,1)}
      26:{1,3,6}:{(19,1),(20,1),(24,1),(33,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(25,1),(34,1),(35,1)}
      28:{2,3,5,6}:{(21,1),(33,1),(36,1),(43,1),(44,1)}
      29:{1,4,6}:{(21,1),(22,1),(36,1),(37,1)}
      30:{2,4,5}:{(22,1),(23,1),(35,1),(37,1)}
      31:{2,3,5}:{(24,1),(33,1),(38,1),(43,1)}
      32:{1,3,4}:{(24,1),(25,1),(38,1)}
      33:{2,3,6}:{(26,1),(31,1),(39,1)}
      34:{1,3,4,6}:{(26,1),(27,1),(29,1),(32,1),(39,1),(40,1),(41,1)}
      35:{2,3,5}:{(27,1),(30,1),(40,1)}
      36:{2,4,6}:{(28,1),(29,1),(41,1),(42,1)}
      37:{1,4,5}:{(29,1),(30,1),(40,1),(42,1)}
      38:{2,4}:{(31,1),(32,1)}
      39:{2,4,6}:{(33,1),(34,1),(38,1),(43,1)}
      40:{1,3,5}:{(34,1),(35,1),(37,1),(43,1),(44,1)}
      41:{3,4,6}:{(36,1),(44,1)}
      42:{2,4,5}:{(36,1),(37,1),(43,1),(44,1)}
      43:{2,5}:{(39,1),(40,1)}
      44:{3,5}:{(41,1),(42,1)}

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

426 :  0:{1,2,3,6}:{(1,1),(2,1),(27,1),(48,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(39,1),(52,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(19,1)}
       3:{2,3,4,6}:{(4,1),(7,1),(20,1),(21,1),(37,1)}
       4:{1,3,4,6}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1),(29,1),(46,1)}
       5:{1,2,5}:{(1,1),(9,1)}
       6:{1,2,4}:{(2,1),(12,1)}
       7:{2,3,5}:{(3,1),(9,1),(14,1)}
       8:{2,3,4,6}:{(4,1),(15,1),(20,1),(32,1),(37,1)}
       9:{1,3,5}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
      10:{1,2,5,6}:{(5,1),(16,1),(18,1),(50,1),(52,1)}
      11:{1,2,4,5}:{(5,1),(6,1),(17,1),(18,1),(19,1),(36,1)}
      12:{1,3,4}:{(6,1),(19,1),(20,1)}
      13:{2,3,5,6}:{(7,1),(16,1),(21,1),(37,1),(40,1),(50,1)}
      14:{2,4,5}:{(7,1),(17,1),(21,1),(22,1)}
      15:{2,3,5}:{(8,1),(9,1),(24,1)}
      16:{1,3,5,6}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1),(46,1),(53,1)}
      17:{1,4,5}:{(9,1),(14,1),(24,1),(25,1)}
      18:{1,2,4,6}:{(10,1),(11,1),(25,1),(27,1),(44,1)}
      19:{1,3,5}:{(11,1),(12,1),(27,1),(28,1)}
      20:{2,3,4}:{(12,1),(28,1),(29,1)}
      21:{2,4,6}:{(13,1),(14,1),(25,1),(31,1)}
      22:{3,4,5}:{(14,1),(31,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(32,1),(37,1),(49,1),(50,1)}
      24:{2,4,5}:{(15,1),(17,1),(32,1),(33,1)}
      25:{1,4,6}:{(16,1),(17,1),(21,1),(32,1)}
      26:{1,3,4,5}:{(17,1),(19,1),(22,1),(33,1),(35,1),(36,1)}
      27:{1,3,6}:{(18,1),(19,1),(37,1)}
      28:{2,3,5}:{(19,1),(20,1),(36,1),(37,1),(38,1)}
      29:{1,3,4}:{(20,1),(38,1),(39,1)}
      30:{2,4,5,6}:{(21,1),(34,1),(40,1),(50,1)}
      31:{3,4,6}:{(21,1),(22,1),(40,1)}
      32:{2,4,6}:{(23,1),(24,1),(25,1),(42,1)}
      33:{3,4,5}:{(24,1),(42,1)}
      34:{1,4,5,6}:{(25,1),(30,1),(41,1),(43,1),(53,1)}
      35:{1,3,4,6}:{(25,1),(26,1),(27,1),(31,1),(42,1),(43,1),(44,1)}
      36:{2,4,5}:{(26,1),(28,1),(44,1),(45,1)}
      37:{2,3,6}:{(27,1),(28,1),(44,1),(46,1)}
      38:{1,3,5}:{(28,1),(29,1),(45,1),(46,1),(47,1)}
      39:{1,2,4}:{(29,1),(47,1),(48,1)}
      40:{3,5,6}:{(30,1),(31,1)}
      41:{2,4,5,6}:{(32,1),(34,1),(49,1),(50,1)}
      42:{3,4,6}:{(32,1),(33,1),(49,1)}
      43:{1,3,5,6}:{(34,1),(35,1),(40,1),(49,1),(50,1)}
      44:{2,4,6}:{(35,1),(36,1),(37,1),(50,1),(51,1)}
      45:{1,4,5}:{(36,1),(38,1),(51,1)}
      46:{1,3,6}:{(37,1),(38,1),(51,1),(52,1)}
      47:{1,2,5}:{(38,1),(39,1),(52,1)}
      48:{1,2,3}:{(39,1)}
      49:{3,5,6}:{(41,1),(42,1)}
      50:{2,5,6}:{(43,1),(44,1),(53,1)}
      51:{1,4,6}:{(44,1),(45,1),(46,1),(53,1)}
      52:{1,2,6}:{(46,1),(47,1)}
      53:{1,5,6}:{(50,1),(51,1)}

427 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1)}
       2:{2,3,4}:{(3,1),(5,1)}
       3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
       4:{1,2,5}:{(1,1),(7,1),(8,1)}
       5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
       6:{2,3,4}:{(3,1),(11,1)}
       7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
       8:{1,2,6}:{(4,1),(13,1)}
       9:{2,4,5}:{(5,1),(12,1),(14,1),(15,1)}
      10:{2,3,6}:{(5,1),(13,1),(15,1)}
      11:{2,3,5}:{(6,1),(7,1),(16,1),(17,1)}
      12:{1,4,5}:{(7,1),(9,1),(16,1),(18,1)}
      13:{1,3,6}:{(7,1),(8,1),(10,1),(17,1),(18,1)}
      14:{3,4,5}:{(9,1),(19,1)}
      15:{2,4,6}:{(9,1),(10,1),(18,1),(19,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(21,1),(22,1)}
      17:{2,3,6}:{(11,1),(13,1),(22,1)}
      18:{1,4,6}:{(12,1),(13,1),(15,1),(22,1),(23,1)}
      19:{3,4,6}:{(14,1),(15,1),(24,1)}
      20:{2,5,6}:{(15,1),(23,1),(24,1)}
      21:{3,4,5}:{(16,1),(25,1)}
      22:{2,4,6}:{(16,1),(17,1),(18,1),(25,1),(26,1)}
      23:{1,5,6}:{(18,1),(20,1),(26,1)}
      24:{3,5,6}:{(19,1),(20,1),(27,1)}
      25:{3,4,6}:{(21,1),(22,1),(28,1)}
      26:{2,5,6}:{(22,1),(23,1),(28,1)}
      27:{4,5,6}:{(24,1)}
      28:{3,5,6}:{(25,1),(26,1),(29,1)}
      29:{4,5,6}:{(28,1)}

428 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1),(43,1)}
       2:{1,2,5}:{(0,1),(5,1),(13,1),(44,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(24,1),(32,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(9,1),(32,1),(40,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(41,1),(42,1)}
       6:{2,4,6}:{(3,1),(4,1),(12,1),(13,1),(17,1)}
       7:{1,3,5}:{(3,1),(13,1),(14,1),(28,1)}
       8:{1,3,6}:{(4,1),(12,1),(15,1),(16,1)}
       9:{2,3,5}:{(4,1),(5,1),(13,1),(16,1),(17,1),(28,1),(37,1),(38,1)}
      10:{1,4}:{(5,1),(17,1)}
      11:{1,3,5,6}:{(7,1),(18,1),(19,1),(32,1)}
      12:{1,4,6}:{(6,1),(8,1),(20,1),(23,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{1,4,5}:{(7,1),(10,1),(19,1),(21,1),(41,1)}
      15:{1,2,6}:{(8,1),(22,1),(40,1)}
      16:{1,3,5}:{(8,1),(9,1),(20,1),(22,1),(23,1),(34,1)}
      17:{2,4}:{(9,1),(10,1),(23,1),(24,1)}
      18:{2,5,6}:{(11,1),(13,1),(25,1),(26,1)}
      19:{1,4,6}:{(11,1),(14,1),(26,1),(43,1)}
      20:{1,5}:{(12,1),(13,1)}
      21:{2,4,5}:{(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      22:{1,2,5}:{(15,1),(16,1),(29,1),(37,1)}
      23:{1,4}:{(16,1),(17,1)}
      24:{3,4}:{(17,1),(28,1)}
      25:{1,5,6}:{(18,1),(20,1),(31,1)}
      26:{2,4,6}:{(18,1),(19,1),(21,1),(31,1),(32,1),(40,1)}
      27:{1,4,5}:{(20,1),(21,1),(23,1),(31,1),(33,1)}
      28:{3,5}:{(21,1),(24,1),(32,1)}
      29:{1,2,4}:{(22,1),(23,1),(34,1),(35,1)}
      30:{1,3,4}:{(23,1),(24,1),(33,1),(34,1),(35,1)}
      31:{1,4,6}:{(25,1),(26,1),(27,1),(36,1)}
      32:{3,6}:{(26,1),(28,1)}
      33:{1,3,5}:{(27,1),(28,1),(30,1),(36,1),(37,1)}
      34:{1,3}:{(29,1),(38,1)}
      35:{2,4}:{(30,1),(37,1),(38,1),(39,1)}
      36:{1,3,6}:{(31,1),(32,1),(33,1),(40,1)}
      37:{2,5}:{(33,1),(35,1),(40,1),(41,1)}
      38:{2,3}:{(34,1),(35,1),(42,1)}
      39:{1,4}:{(35,1),(41,1),(42,1)}
      40:{2,6}:{(36,1),(37,1),(43,1)}
      41:{1,5}:{(37,1),(39,1),(43,1)}
      42:{1,3}:{(38,1),(39,1),(44,1)}
      43:{1,6}:{(40,1),(41,1)}
      44:{1,2}:{(42,1)}

429 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

430 :   0:{1,3,4,5}:{(2,1),(3,1),(13,1),(18,1),(47,1),(99,1),(100,1),(137,1)}
        1:{1,2,4,5}:{(5,1),(6,1),(8,1),(24,1),(27,1),(34,1),(62,1),(67,1),(69,1),(70,1),(113,1),(119,1),(142,1),(147,1)}
        2:{2,4,5}:{(0,1),(7,1),(8,1),(9,1),(27,1),(34,1),(69,1)}
        3:{1,3,4,6}:{(0,1),(9,1),(10,1),(35,1),(79,1),(80,1),(121,1)}
        4:{1,3,4,5}:{(11,1),(12,1),(13,1),(40,1),(47,1),(126,1),(127,1),(157,1)}
        5:{1,3,5}:{(1,1),(13,1),(14,1),(15,1),(90,1),(137,1),(157,1)}
        6:{1,2,4,6}:{(1,1),(15,1),(16,1),(20,1),(42,1),(46,1),(51,1),(55,1),(85,1),(101,1),(128,1)}
        7:{2,3,5}:{(2,1),(17,1),(18,1),(19,1),(137,1)}
        8:{1,4,5}:{(2,1),(18,1),(20,1),(45,1),(92,1)}
        9:{2,4,6}:{(2,1),(3,1),(19,1),(20,1),(21,1),(55,1)}
       10:{1,3,5,6}:{(3,1),(21,1),(22,1),(47,1),(59,1)}
       11:{2,4,5}:{(4,1),(23,1),(24,1),(25,1),(27,1),(62,1),(69,1)}
       12:{1,3,4,6}:{(4,1),(25,1),(26,1),(63,1),(109,1),(110,1),(144,1)}
       13:{1,3,4}:{(5,1),(27,1),(147,1),(152,1),(168,1)}
       14:{2,3,5}:{(5,1),(27,1),(29,1),(30,1),(34,1),(62,1),(69,1),(74,1),(104,1)}
       15:{1,3,6}:{(5,1),(6,1),(30,1),(121,1),(144,1)}
       16:{1,2,5,6}:{(6,1),(31,1),(37,1),(65,1),(69,1),(78,1),(108,1),(113,1),(174,1)}
       17:{2,3,4}:{(7,1),(27,1),(32,1),(104,1),(152,1)}
       18:{1,3,5}:{(7,1),(8,1),(32,1),(34,1),(35,1)}
       19:{2,3,6}:{(7,1),(9,1),(35,1),(121,1)}
       20:{1,4,6}:{(8,1),(9,1),(35,1),(37,1)}
       21:{2,5,6}:{(9,1),(10,1),(37,1),(69,1)}
       22:{1,4,5,6}:{(10,1),(38,1),(70,1),(79,1),(123,1)}
       23:{2,3,5}:{(11,1),(39,1),(40,1),(41,1),(157,1)}
       24:{1,4,5}:{(11,1),(40,1),(42,1),(45,1),(92,1)}
       25:{2,4,6}:{(11,1),(12,1),(41,1),(42,1),(43,1),(85,1)}
       26:{1,3,5,6}:{(12,1),(43,1),(44,1),(47,1),(89,1)}
       27:{2,4}:{(13,1),(14,1),(45,1)}
       28:{1,3,4,6}:{(13,1),(15,1),(46,1),(47,1),(51,1),(96,1)}
       29:{1,3,5}:{(14,1),(45,1),(48,1),(49,1),(90,1),(92,1)}
       30:{2,3,6}:{(14,1),(15,1),(46,1),(49,1),(55,1),(85,1)}
       31:{1,3,5,6}:{(15,1),(16,1),(47,1),(50,1),(51,1),(131,1),(163,1),(164,1)}
       32:{1,3,4}:{(17,1),(18,1),(45,1),(52,1),(90,1)}
       33:{2,3,4,6}:{(17,1),(19,1),(46,1),(53,1),(54,1),(57,1),(96,1),(124,1),(135,1),(139,1),(156,1),(165,1)}
       34:{2,5}:{(18,1),(52,1),(55,1)}
       35:{1,3,6}:{(18,1),(19,1),(20,1),(55,1)}
       36:{2,3,5,6}:{(19,1),(21,1),(54,1),(56,1),(57,1),(59,1),(103,1),(139,1)}
       37:{1,5,6}:{(20,1),(21,1),(92,1)}
       38:{2,4,5,6}:{(21,1),(22,1),(57,1),(58,1),(59,1),(93,1),(101,1),(103,1)}
       39:{2,3,4}:{(23,1),(27,1),(60,1),(74,1),(168,1)}
       40:{1,3,5}:{(23,1),(24,1),(60,1),(62,1),(63,1)}
       41:{2,3,6}:{(23,1),(25,1),(63,1),(144,1)}
       42:{1,4,6}:{(24,1),(25,1),(63,1),(65,1)}
       43:{2,5,6}:{(25,1),(26,1),(65,1),(69,1)}
       44:{1,4,5,6}:{(26,1),(66,1),(70,1),(109,1),(146,1)}
       45:{1,4}:{(27,1),(29,1)}
       46:{2,4,6}:{(27,1),(28,1),(30,1),(68,1),(69,1)}
       47:{1,3,5}:{(28,1),(69,1),(70,1),(115,1)}
       48:{1,2,5}:{(29,1),(34,1),(62,1),(67,1),(71,1)}
       49:{1,3,6}:{(29,1),(30,1),(68,1),(71,1)}
       50:{2,3,5,6}:{(30,1),(31,1),(69,1),(72,1),(73,1),(78,1),(108,1),(115,1),(118,1),(121,1),(141,1),(144,1),(149,1),(150,1)}
       51:{1,4,6}:{(31,1),(70,1),(73,1),(147,1)}
       52:{2,4}:{(32,1),(34,1),(74,1)}
       53:{1,3,4,6}:{(32,1),(33,1),(35,1),(68,1),(75,1),(76,1),(79,1),(112,1),(121,1),(147,1),(151,1),(152,1),(155,1),(175,1)}
       54:{2,3,5}:{(33,1),(69,1),(76,1),(77,1),(115,1),(149,1)}
       55:{2,6}:{(34,1),(35,1)}
       56:{1,3,5,6}:{(35,1),(36,1),(37,1),(76,1),(78,1),(79,1),(121,1),(123,1),(155,1)}
       57:{2,4,6}:{(36,1),(77,1),(79,1),(80,1)}
       58:{1,4,5,6}:{(37,1),(38,1),(79,1),(81,1),(114,1)}
       59:{3,5,6}:{(38,1),(80,1),(115,1),(121,1)}
       60:{1,3,4}:{(39,1),(40,1),(45,1),(82,1),(90,1)}
       61:{2,3,4,6}:{(39,1),(41,1),(46,1),(83,1),(84,1),(87,1),(96,1),(97,1),(135,1),(136,1),(159,1),(177,1)}
       62:{2,5}:{(40,1),(82,1),(85,1)}
       63:{1,3,6}:{(40,1),(41,1),(42,1),(85,1)}
       64:{2,3,5,6}:{(41,1),(43,1),(84,1),(86,1),(87,1),(89,1),(130,1),(159,1)}
       65:{1,5,6}:{(42,1),(43,1),(92,1)}
       66:{2,4,5,6}:{(43,1),(44,1),(87,1),(88,1),(89,1),(93,1),(128,1),(130,1)}
       67:{1,2,4}:{(45,1),(48,1),(52,1),(82,1),(90,1)}
       68:{1,4,6}:{(45,1),(46,1),(49,1),(92,1)}
       69:{2,5}:{(46,1),(47,1),(92,1)}
       70:{1,4,5}:{(47,1),(51,1),(93,1),(163,1)}
       71:{1,2,6}:{(48,1),(49,1),(55,1),(85,1)}
       72:{1,3,5,6}:{(49,1),(50,1),(92,1),(94,1),(95,1),(131,1),(133,1),(134,1)}
       73:{2,4,6}:{(50,1),(51,1),(93,1),(95,1),(96,1),(136,1),(156,1)}
       74:{2,3}:{(52,1),(90,1)}
       75:{2,4,6}:{(52,1),(53,1),(55,1),(97,1),(98,1),(136,1),(167,1),(182,1)}
       76:{1,3,5}:{(53,1),(54,1),(92,1),(98,1),(99,1),(137,1),(163,1)}
       77:{2,4,5}:{(54,1),(57,1),(99,1),(100,1),(156,1)}
       78:{2,5,6}:{(55,1),(56,1),(98,1),(101,1),(167,1)}
       79:{1,4,6}:{(56,1),(57,1),(99,1),(101,1)}
       80:{3,4,6}:{(57,1),(59,1),(100,1)}
       81:{1,3,5,6}:{(58,1),(59,1),(102,1),(103,1),(133,1)}
       82:{2,4}:{(60,1),(62,1),(104,1)}
       83:{1,3,4,6}:{(60,1),(61,1),(63,1),(68,1),(105,1),(106,1),(109,1),(112,1),(144,1),(147,1),(151,1),(168,1),(171,1),(183,1)}
       84:{2,3,5}:{(61,1),(69,1),(106,1),(107,1),(115,1),(149,1)}
       85:{2,6}:{(62,1),(63,1)}
       86:{1,3,5,6}:{(63,1),(64,1),(65,1),(106,1),(108,1),(109,1),(144,1),(146,1),(171,1)}
       87:{2,4,6}:{(64,1),(107,1),(109,1),(110,1)}
       88:{1,4,5,6}:{(65,1),(66,1),(109,1),(111,1),(114,1)}
       89:{3,5,6}:{(66,1),(110,1),(115,1),(144,1)}
       90:{1,3}:{(67,1),(74,1),(104,1)}
       91:{1,2,4,6}:{(67,1),(68,1),(71,1),(75,1),(105,1),(112,1),(113,1),(147,1),(151,1),(174,1),(185,1)}
       92:{1,5}:{(68,1),(69,1)}
       93:{2,4,5}:{(69,1),(70,1),(73,1),(114,1),(115,1),(149,1)}
       94:{1,2,5,6}:{(71,1),(72,1),(78,1),(108,1),(113,1),(116,1),(123,1),(146,1),(149,1)}
       95:{1,4,6}:{(72,1),(73,1),(114,1),(147,1)}
       96:{3,4,6}:{(73,1),(115,1),(121,1),(144,1),(152,1),(168,1)}
       97:{2,3,6}:{(74,1),(75,1),(112,1),(118,1),(121,1),(186,1)}
       98:{2,5}:{(75,1),(76,1)}
       99:{1,4,5}:{(76,1),(77,1),(79,1),(119,1),(147,1)}
      100:{3,4,5}:{(77,1),(80,1),(115,1),(168,1)}
      101:{2,4,6}:{(78,1),(79,1),(119,1),(121,1)}
      102:{1,3,4,6}:{(79,1),(80,1),(81,1),(120,1),(121,1),(122,1),(155,1)}
      103:{2,5,6}:{(81,1),(122,1),(123,1),(149,1)}
      104:{2,3}:{(82,1),(90,1)}
      105:{2,4,6}:{(82,1),(83,1),(85,1),(124,1),(125,1),(156,1),(179,1),(187,1)}
      106:{1,3,5}:{(83,1),(84,1),(92,1),(125,1),(126,1),(157,1),(163,1)}
      107:{2,4,5}:{(84,1),(87,1),(126,1),(127,1),(136,1)}
      108:{2,5,6}:{(85,1),(86,1),(125,1),(128,1),(179,1)}
      109:{1,4,6}:{(86,1),(87,1),(126,1),(128,1)}
      110:{3,4,6}:{(87,1),(89,1),(127,1)}
      111:{1,3,5,6}:{(88,1),(89,1),(129,1),(130,1),(133,1)}
      112:{1,3,6}:{(90,1),(91,1),(97,1),(124,1),(131,1),(188,1)}
      113:{1,2,5}:{(91,1),(92,1),(98,1),(125,1),(131,1),(163,1)}
      114:{1,4,5}:{(92,1),(93,1),(95,1),(133,1)}
      115:{3,5}:{(93,1),(96,1)}
      116:{1,2,4,6}:{(94,1),(95,1),(101,1),(128,1),(132,1),(134,1),(135,1),(140,1),(160,1),(167,1),(179,1)}
      117:{1,3,4,6}:{(95,1),(96,1),(133,1),(134,1),(135,1),(161,1)}
      118:{2,3,5}:{(97,1),(98,1),(131,1),(136,1),(137,1)}
      119:{2,4,5}:{(98,1),(99,1),(101,1),(136,1),(137,1)}
      120:{1,3,4,5}:{(99,1),(100,1),(102,1),(133,1),(137,1),(138,1),(161,1),(166,1)}
      121:{3,6}:{(101,1),(137,1)}
      122:{2,4,6}:{(102,1),(103,1),(138,1),(139,1),(140,1),(167,1)}
      123:{1,5,6}:{(103,1),(140,1),(163,1)}
      124:{2,3,6}:{(104,1),(105,1),(112,1),(141,1),(144,1),(189,1)}
      125:{2,5}:{(105,1),(106,1)}
      126:{1,4,5}:{(106,1),(107,1),(109,1),(142,1),(147,1)}
      127:{3,4,5}:{(107,1),(110,1),(115,1),(152,1)}
      128:{2,4,6}:{(108,1),(109,1),(142,1),(144,1)}
      129:{1,3,4,6}:{(109,1),(110,1),(111,1),(143,1),(144,1),(145,1),(171,1)}
      130:{2,5,6}:{(111,1),(145,1),(146,1),(149,1)}
      131:{1,3,5}:{(112,1),(113,1),(118,1),(141,1),(147,1)}
      132:{1,2,4,5}:{(113,1),(114,1),(116,1),(119,1),(142,1),(147,1),(148,1),(149,1),(154,1),(170,1),(172,1),(176,1),(184,1),(185,1)}
      133:{1,3,5}:{(114,1),(115,1),(117,1),(149,1)}
      134:{1,3,6}:{(116,1),(121,1),(144,1),(148,1),(150,1)}
      135:{2,4,6}:{(117,1),(149,1),(150,1),(151,1),(172,1)}
      136:{2,4}:{(118,1),(147,1),(152,1)}
      137:{3,5}:{(119,1),(121,1),(152,1)}
      138:{2,4,5}:{(120,1),(122,1),(149,1),(153,1),(154,1),(172,1),(176,1)}
      139:{2,3,6}:{(121,1),(122,1),(153,1),(155,1)}
      140:{1,4,6}:{(122,1),(123,1),(154,1),(155,1)}
      141:{2,3,5}:{(124,1),(125,1),(131,1),(156,1),(157,1)}
      142:{2,4,5}:{(125,1),(126,1),(128,1),(156,1),(157,1)}
      143:{1,3,4,5}:{(126,1),(127,1),(129,1),(133,1),(157,1),(158,1),(161,1),(178,1)}
      144:{3,6}:{(128,1),(157,1)}
      145:{2,4,6}:{(129,1),(130,1),(158,1),(159,1),(160,1),(179,1)}
      146:{1,5,6}:{(130,1),(160,1),(163,1)}
      147:{1,4}:{(131,1),(136,1),(156,1)}
      148:{1,3,5}:{(132,1),(134,1),(137,1),(157,1),(161,1),(162,1),(188,1)}
      149:{2,5}:{(133,1),(135,1),(163,1)}
      150:{2,3,6}:{(134,1),(135,1),(162,1),(164,1),(167,1),(179,1)}
      151:{1,4,6}:{(135,1),(163,1),(164,1),(180,1)}
      152:{3,4}:{(136,1),(137,1)}
      153:{2,3,5}:{(137,1),(138,1),(139,1),(165,1),(166,1)}
      154:{1,4,5}:{(138,1),(140,1),(163,1),(166,1),(180,1)}
      155:{1,3,6}:{(139,1),(140,1),(166,1),(167,1)}
      156:{2,4}:{(141,1),(147,1),(168,1)}
      157:{3,5}:{(142,1),(144,1),(168,1)}
      158:{2,4,5}:{(143,1),(145,1),(149,1),(169,1),(170,1),(172,1),(184,1)}
      159:{2,3,6}:{(144,1),(145,1),(169,1),(171,1)}
      160:{1,4,6}:{(145,1),(146,1),(170,1),(171,1)}
      161:{1,3,4}:{(147,1),(148,1),(152,1),(168,1),(172,1)}
      162:{2,3,5}:{(148,1),(149,1),(150,1),(172,1),(173,1),(176,1),(184,1),(186,1),(189,1)}
      163:{1,5}:{(149,1),(151,1)}
      164:{1,3,6}:{(150,1),(151,1),(173,1),(174,1)}
      165:{2,3,4}:{(152,1),(153,1),(172,1),(175,1),(189,1)}
      166:{1,3,5}:{(153,1),(154,1),(155,1),(175,1),(176,1)}
      167:{2,6}:{(155,1),(176,1)}
      168:{3,4}:{(156,1),(157,1)}
      169:{2,3,5}:{(157,1),(158,1),(159,1),(177,1),(178,1)}
      170:{1,4,5}:{(158,1),(160,1),(163,1),(178,1),(180,1)}
      171:{1,3,6}:{(159,1),(160,1),(178,1),(179,1)}
      172:{2,4}:{(161,1),(162,1),(180,1)}
      173:{1,3,5}:{(162,1),(163,1),(164,1),(180,1),(181,1),(188,1)}
      174:{1,2,6}:{(164,1),(167,1),(179,1),(181,1)}
      175:{1,3,4}:{(165,1),(166,1),(180,1),(182,1),(188,1)}
      176:{2,5}:{(166,1),(167,1),(182,1)}
      177:{2,3,4}:{(168,1),(169,1),(172,1),(183,1),(186,1)}
      178:{1,3,5}:{(169,1),(170,1),(171,1),(183,1),(184,1)}
      179:{2,6}:{(171,1),(184,1)}
      180:{1,4}:{(172,1),(173,1)}
      181:{1,2,5}:{(173,1),(174,1),(176,1),(184,1),(185,1)}
      182:{2,4}:{(175,1),(176,1),(186,1)}
      183:{1,3,4}:{(177,1),(178,1),(180,1),(187,1),(188,1)}
      184:{2,5}:{(178,1),(179,1),(187,1)}
      185:{1,2,4}:{(180,1),(181,1),(182,1),(187,1),(188,1)}
      186:{2,3}:{(182,1),(188,1)}
      187:{2,4}:{(183,1),(184,1),(189,1)}
      188:{1,3}:{(185,1),(186,1),(189,1)}
      189:{2,3}:{(187,1),(188,1)}

431 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(42,1)}
       1:{1,3,4,5}:{(0,1),(3,1),(4,1),(11,1),(40,1),(41,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(26,1),(39,1)}
       3:{2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,3,4,6}:{(1,1),(2,1),(8,1),(9,1),(20,1),(35,1),(37,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(10,1)}
       6:{1,2,4,5}:{(3,1),(11,1),(12,1),(25,1),(38,1),(40,1)}
       7:{2,3,5}:{(3,1),(11,1),(13,1),(14,1)}
       8:{2,4,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(15,1),(16,1),(31,1)}
      10:{2,4,5,6}:{(5,1),(16,1),(17,1),(39,1)}
      11:{1,3,5}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
      12:{1,2,4,6}:{(6,1),(8,1),(20,1),(21,1),(32,1),(35,1)}
      13:{2,3,4}:{(7,1),(19,1)}
      14:{2,3,6}:{(7,1),(8,1),(20,1)}
      15:{2,5,6}:{(8,1),(9,1)}
      16:{1,4,5,6}:{(9,1),(10,1),(24,1),(35,1)}
      17:{3,4,5,6}:{(10,1),(43,1)}
      18:{2,3,5}:{(11,1),(25,1),(26,1),(38,1)}
      19:{1,3,4}:{(11,1),(13,1),(25,1)}
      20:{1,3,6}:{(11,1),(12,1),(14,1),(26,1)}
      21:{1,2,5,6}:{(12,1),(15,1),(28,1),(38,1)}
      22:{2,3,4,6}:{(13,1),(14,1),(27,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(14,1),(15,1),(28,1),(29,1),(30,1),(31,1)}
      24:{2,4,5,6}:{(15,1),(16,1),(30,1),(31,1)}
      25:{2,4}:{(18,1),(19,1)}
      26:{2,3,6}:{(18,1),(20,1),(32,1)}
      27:{1,3,4,6}:{(19,1),(20,1),(22,1),(32,1),(34,1),(35,1),(43,1)}
      28:{1,3,5,6}:{(20,1),(21,1),(23,1),(33,1),(34,1),(35,1)}
      29:{2,3,5}:{(22,1),(34,1),(36,1)}
      30:{2,4,6}:{(23,1),(35,1),(36,1),(37,1)}
      31:{3,5,6}:{(24,1),(37,1)}
      32:{2,4,6}:{(25,1),(26,1),(27,1),(38,1)}
      33:{2,3,5,6}:{(26,1),(28,1),(38,1),(39,1),(44,1)}
      34:{1,3,5}:{(27,1),(29,1),(38,1),(40,1),(44,1)}
      35:{1,4,6}:{(28,1),(30,1),(39,1),(40,1)}
      36:{2,4,5}:{(29,1),(30,1),(40,1),(41,1)}
      37:{3,4,6}:{(30,1),(31,1),(41,1)}
      38:{2,5}:{(32,1),(34,1)}
      39:{2,4,6}:{(33,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(34,1),(35,1),(36,1),(42,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,4,6}:{(39,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

432 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(12,1),(17,1),(25,1),(26,1),(33,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(17,1)}
       2:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(18,1),(20,1),(29,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(22,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1),(11,1)}
       5:{1,4,6}:{(1,1),(9,1),(11,1),(32,1)}
       6:{2,3,6}:{(2,1),(12,1),(13,1),(17,1),(28,1),(33,1)}
       7:{1,4,6}:{(2,1),(12,1),(14,1),(25,1)}
       8:{2,5}:{(2,1),(3,1),(14,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(25,1),(35,1)}
      10:{1,5,6}:{(4,1),(14,1),(16,1)}
      11:{2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(28,1)}
      12:{1,3,6}:{(6,1),(7,1),(18,1),(19,1),(32,1)}
      13:{2,3,5}:{(6,1),(8,1),(19,1),(20,1),(22,1),(31,1),(36,1)}
      14:{1,5}:{(7,1),(8,1)}
      15:{2,4,5}:{(8,1),(9,1),(11,1),(20,1),(21,1),(22,1),(29,1),(31,1)}
      16:{1,4,6}:{(10,1),(11,1),(21,1),(23,1)}
      17:{3,6}:{(11,1),(22,1)}
      18:{2,6}:{(12,1),(24,1)}
      19:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1),(33,1),(35,1),(38,1)}
      20:{2,4}:{(13,1),(25,1),(26,1)}
      21:{1,4,5}:{(14,1),(15,1),(16,1),(25,1),(27,1)}
      22:{3,5}:{(15,1),(17,1),(26,1),(33,1)}
      23:{1,3,6}:{(16,1),(17,1),(27,1),(28,1)}
      24:{2,5}:{(18,1),(19,1),(29,1),(39,1)}
      25:{1,4}:{(19,1),(20,1),(29,1)}
      26:{3,4}:{(20,1),(22,1)}
      27:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1)}
      28:{2,6}:{(23,1),(31,1),(32,1)}
      29:{2,4}:{(24,1),(25,1),(33,1)}
      30:{1,3,4}:{(25,1),(26,1),(27,1),(33,1),(34,1),(38,1)}
      31:{2,5}:{(27,1),(28,1),(34,1),(35,1)}
      32:{1,6}:{(28,1),(35,1)}
      33:{3}:{(29,1)}
      34:{2,4}:{(30,1),(31,1),(36,1),(37,1),(39,1)}
      35:{1,5}:{(31,1),(32,1),(37,1)}
      36:{2,3}:{(33,1),(34,1),(38,1)}
      37:{1,4}:{(34,1),(35,1),(38,1)}
      38:{1,3}:{(36,1),(37,1),(39,1)}
      39:{2}:{(38,1)}

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

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

435 :  0:{2,3,4}:{(2,1),(3,1),(39,1),(62,1)}
       1:{3,4,5}:{(6,1),(7,1),(69,1),(79,1)}
       2:{2,3,5}:{(0,1),(7,1),(8,1),(9,1)}
       3:{1,3,4}:{(0,1),(9,1),(10,1),(28,1),(53,1),(56,1)}
       4:{2,3,4}:{(12,1),(13,1),(20,1),(46,1)}
       5:{4,5,6}:{(15,1),(80,1)}
       6:{3,4,6}:{(1,1),(15,1),(16,1)}
       7:{2,4,5}:{(1,1),(2,1),(16,1),(17,1),(62,1),(76,1)}
       8:{2,3,6}:{(2,1),(16,1),(18,1)}
       9:{1,3,5}:{(2,1),(3,1),(17,1),(18,1),(19,1),(44,1)}
      10:{2,4}:{(3,1),(19,1),(20,1)}
      11:{3,4,5}:{(22,1),(23,1),(56,1),(73,1)}
      12:{2,3,5}:{(4,1),(23,1),(24,1),(25,1)}
      13:{1,3,4}:{(4,1),(25,1),(26,1),(28,1),(53,1),(69,1)}
      14:{1,2,4}:{(10,1),(26,1),(27,1),(28,1),(53,1)}
      15:{3,5,6}:{(5,1),(6,1),(29,1),(79,1)}
      16:{2,4,6}:{(6,1),(7,1),(8,1),(29,1),(30,1)}
      17:{1,4,5}:{(7,1),(9,1),(30,1),(31,1),(53,1),(71,1)}
      18:{1,3,6}:{(8,1),(9,1),(30,1),(32,1),(55,1)}
      19:{2,5}:{(9,1),(10,1),(32,1)}
      20:{2,3}:{(10,1),(28,1)}
      21:{4,5,6}:{(34,1),(77,1)}
      22:{3,4,6}:{(11,1),(34,1),(35,1)}
      23:{2,4,5}:{(11,1),(12,1),(35,1),(36,1),(46,1),(66,1)}
      24:{2,3,6}:{(12,1),(35,1),(37,1)}
      25:{1,3,5}:{(12,1),(13,1),(36,1),(37,1),(38,1),(60,1)}
      26:{2,4}:{(13,1),(38,1),(39,1)}
      27:{1,2,5}:{(14,1),(19,1),(38,1),(40,1),(41,1)}
      28:{1,3}:{(14,1),(20,1),(39,1)}
      29:{2,5,6}:{(15,1),(16,1),(42,1),(76,1)}
      30:{1,4,6}:{(16,1),(17,1),(18,1),(42,1),(43,1)}
      31:{2,4,5}:{(17,1),(19,1),(43,1),(44,1),(46,1),(66,1),(77,1)}
      32:{2,6}:{(18,1),(19,1)}
      33:{2,3,5}:{(19,1),(20,1),(41,1),(44,1),(45,1),(46,1),(66,1)}
      34:{3,5,6}:{(21,1),(22,1),(47,1),(73,1)}
      35:{2,4,6}:{(22,1),(23,1),(24,1),(47,1),(48,1)}
      36:{1,4,5}:{(23,1),(25,1),(48,1),(49,1),(53,1),(71,1)}
      37:{1,3,6}:{(24,1),(25,1),(48,1),(50,1),(68,1)}
      38:{2,5}:{(25,1),(26,1),(50,1)}
      39:{2,3}:{(26,1),(28,1)}
      40:{1,2,6}:{(27,1),(32,1),(50,1),(52,1)}
      41:{1,3,5}:{(27,1),(28,1),(33,1),(51,1),(52,1),(53,1),(71,1)}
      42:{1,5,6}:{(29,1),(30,1),(54,1),(71,1)}
      43:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1),(72,1)}
      44:{3,5}:{(31,1),(55,1),(56,1)}
      45:{2,3,6}:{(32,1),(33,1),(52,1),(55,1),(57,1)}
      46:{2,4}:{(33,1),(53,1),(56,1)}
      47:{2,5,6}:{(34,1),(35,1),(58,1),(66,1)}
      48:{1,4,6}:{(35,1),(36,1),(37,1),(58,1),(59,1)}
      49:{2,4,5}:{(36,1),(38,1),(59,1),(60,1),(62,1),(76,1),(80,1)}
      50:{2,6}:{(37,1),(38,1)}
      51:{2,3,5}:{(38,1),(39,1),(41,1),(60,1),(61,1),(62,1),(76,1)}
      52:{1,3,6}:{(40,1),(41,1),(45,1),(61,1),(63,1)}
      53:{1,4}:{(41,1),(46,1),(62,1)}
      54:{2,5,6}:{(42,1),(43,1),(64,1),(66,1)}
      55:{3,6}:{(43,1),(44,1)}
      56:{3,4}:{(44,1),(46,1)}
      57:{2,4,6}:{(45,1),(46,1),(63,1),(65,1),(66,1)}
      58:{1,5,6}:{(47,1),(48,1),(67,1),(71,1)}
      59:{2,4,6}:{(48,1),(49,1),(50,1),(67,1),(68,1),(78,1)}
      60:{3,5}:{(49,1),(68,1),(69,1)}
      61:{2,3,6}:{(50,1),(51,1),(52,1),(68,1),(70,1)}
      62:{2,4}:{(51,1),(53,1),(69,1)}
      63:{1,4,6}:{(52,1),(53,1),(57,1),(70,1),(71,1)}
      64:{3,5,6}:{(54,1),(55,1),(72,1),(73,1)}
      65:{3,4,6}:{(55,1),(56,1),(57,1),(72,1),(73,1)}
      66:{2,5}:{(57,1),(71,1),(73,1)}
      67:{2,5,6}:{(58,1),(59,1),(74,1),(76,1)}
      68:{3,6}:{(59,1),(60,1)}
      69:{3,4}:{(60,1),(62,1)}
      70:{2,4,6}:{(61,1),(62,1),(63,1),(75,1),(76,1)}
      71:{1,5}:{(63,1),(66,1),(76,1)}
      72:{4,6}:{(64,1),(77,1)}
      73:{3,5}:{(65,1),(66,1),(77,1)}
      74:{3,5,6}:{(67,1),(68,1),(78,1),(79,1)}
      75:{3,4,6}:{(68,1),(69,1),(70,1),(78,1),(79,1)}
      76:{2,5}:{(70,1),(71,1),(79,1)}
      77:{4,5}:{(72,1),(73,1)}
      78:{4,6}:{(74,1),(80,1)}
      79:{3,5}:{(75,1),(76,1),(80,1)}
      80:{4,5}:{(78,1),(79,1)}

436 :   0:{2,4,5,6}:{(2,1),(3,1),(17,1),(18,1),(77,1),(120,1)}
        1:{2,3,4,6}:{(5,1),(6,1),(18,1),(41,1),(46,1),(47,1),(85,1),(119,1),(122,1)}
        2:{1,4,5,6}:{(0,1),(7,1),(8,1),(28,1),(29,1),(57,1),(102,1)}
        3:{3,5,6}:{(0,1),(9,1),(97,1),(138,1)}
        4:{3,4,5}:{(9,1),(12,1),(107,1),(138,1)}
        5:{2,3,5}:{(1,1),(12,1),(13,1),(138,1),(141,1)}
        6:{1,3,4,6}:{(1,1),(13,1),(14,1),(29,1),(34,1),(59,1),(62,1),(64,1),(69,1),(71,1),(140,1)}
        7:{2,4,5,6}:{(2,1),(15,1),(17,1),(39,1),(44,1),(83,1)}
        8:{1,3,5,6}:{(2,1),(3,1),(15,1),(16,1),(17,1),(123,1)}
        9:{3,4,6}:{(3,1),(4,1),(18,1)}
       10:{2,3,5,6}:{(3,1),(5,1),(17,1),(18,1),(19,1),(41,1)}
       11:{1,3,4,5}:{(4,1),(16,1),(20,1),(22,1),(38,1),(48,1),(52,1),(75,1),(89,1),(116,1),(123,1)}
       12:{2,4,5}:{(4,1),(5,1),(18,1),(22,1),(85,1)}
       13:{1,3,5}:{(5,1),(6,1),(22,1),(23,1),(52,1),(156,1)}
       14:{2,4,6}:{(6,1),(23,1),(24,1),(53,1),(79,1),(84,1)}
       15:{3,5,6}:{(7,1),(25,1),(62,1),(103,1)}
       16:{1,3,4,6}:{(8,1),(9,1),(11,1),(25,1),(27,1),(29,1),(57,1),(59,1),(62,1),(97,1)}
       17:{2,5,6}:{(8,1),(27,1),(28,1),(141,1)}
       18:{2,4,6}:{(9,1),(10,1),(12,1),(29,1)}
       19:{1,3,5,6}:{(10,1),(13,1),(28,1),(29,1),(30,1),(59,1),(62,1)}
       20:{2,4,5}:{(11,1),(27,1),(31,1),(32,1),(67,1),(111,1),(141,1)}
       21:{1,2,4,6}:{(14,1),(33,1),(34,1),(66,1),(69,1),(99,1),(105,1),(140,1)}
       22:{1,4,5}:{(12,1),(13,1),(29,1),(35,1),(69,1)}
       23:{2,5}:{(13,1),(14,1)}
       24:{2,3,6}:{(14,1),(34,1),(36,1),(62,1),(106,1)}
       25:{3,4,6}:{(15,1),(38,1),(39,1)}
       26:{2,3,5,6}:{(15,1),(17,1),(39,1),(40,1),(41,1),(74,1)}
       27:{2,4,6}:{(16,1),(17,1),(20,1),(41,1),(42,1),(79,1)}
       28:{1,5,6}:{(17,1),(42,1),(156,1)}
       29:{1,4,6}:{(18,1),(19,1),(22,1),(44,1)}
       30:{2,5,6}:{(19,1),(23,1),(44,1),(79,1)}
       31:{2,3,5}:{(20,1),(41,1),(46,1),(48,1),(52,1),(116,1)}
       32:{1,4,5}:{(20,1),(42,1),(48,1),(130,1),(156,1)}
       33:{1,2,5}:{(21,1),(23,1),(50,1),(86,1),(156,1)}
       34:{1,3,6}:{(21,1),(24,1),(47,1),(50,1),(126,1)}
       35:{2,4,5}:{(22,1),(23,1),(44,1),(52,1),(53,1)}
       36:{2,3,5}:{(23,1),(24,1),(50,1),(52,1),(53,1)}
       37:{2,3,4,6}:{(24,1),(51,1),(53,1),(54,1),(82,1),(93,1),(122,1),(127,1),(160,1)}
       38:{3,4,5}:{(25,1),(55,1),(103,1),(178,1)}
       39:{2,4,6}:{(25,1),(26,1),(55,1),(57,1)}
       40:{1,3,5,6}:{(26,1),(28,1),(57,1),(58,1),(59,1),(94,1),(97,1)}
       41:{2,3,6}:{(27,1),(31,1),(59,1),(62,1),(97,1)}
       42:{1,4,6}:{(27,1),(28,1),(32,1),(59,1)}
       43:{1,2,5,6}:{(28,1),(30,1),(33,1),(58,1),(60,1),(61,1),(99,1),(109,1),(133,1),(141,1),(169,1),(181,1)}
       44:{2,4,6}:{(29,1),(30,1),(35,1),(62,1)}
       45:{2,3,5,6}:{(30,1),(36,1),(61,1),(62,1),(63,1),(100,1),(103,1),(141,1),(162,1),(181,1),(184,1)}
       46:{2,3,4}:{(31,1),(64,1),(71,1),(111,1),(135,1),(143,1)}
       47:{2,3,6}:{(34,1),(65,1),(66,1),(143,1),(146,1)}
       48:{1,3,5}:{(31,1),(32,1),(59,1),(64,1),(67,1)}
       49:{1,2,4,5}:{(32,1),(33,1),(35,1),(60,1),(67,1),(68,1),(69,1),(95,1),(102,1),(105,1),(108,1),(111,1),(133,1),(141,1),(147,1),(163,1),(170,1),(179,1)}
       50:{1,3,5}:{(33,1),(34,1),(36,1),(65,1),(69,1)}
       51:{1,3,4,6}:{(34,1),(37,1),(66,1),(69,1),(70,1),(107,1),(113,1),(140,1),(144,1),(146,1),(171,1)}
       52:{3,5}:{(35,1),(62,1),(71,1)}
       53:{2,4}:{(36,1),(69,1),(71,1)}
       54:{2,3,5}:{(37,1),(70,1),(72,1),(103,1),(141,1)}
       55:{2,4,5}:{(38,1),(39,1),(74,1),(75,1),(172,1)}
       56:{2,3,4,6}:{(39,1),(41,1),(46,1),(74,1),(76,1),(82,1),(122,1),(152,1),(172,1)}
       57:{1,4,6}:{(39,1),(40,1),(75,1),(77,1)}
       58:{2,5,6}:{(40,1),(77,1),(79,1),(115,1)}
       59:{1,3,6}:{(41,1),(42,1),(48,1),(79,1)}
       60:{1,2,4,6}:{(42,1),(43,1),(44,1),(49,1),(77,1),(79,1),(80,1),(81,1),(122,1),(129,1),(161,1),(177,1),(183,1)}
       61:{1,3,5,6}:{(43,1),(45,1),(50,1),(78,1),(80,1),(81,1),(121,1),(123,1),(149,1),(156,1)}
       62:{3,6}:{(44,1),(52,1)}
       63:{2,4,6}:{(45,1),(53,1),(81,1),(82,1),(83,1),(172,1)}
       64:{1,3,4}:{(46,1),(48,1),(84,1),(126,1),(130,1)}
       65:{2,3,5}:{(47,1),(50,1),(85,1),(86,1),(128,1)}
       66:{2,4,6}:{(47,1),(51,1),(85,1),(86,1),(158,1),(177,1)}
       67:{2,5}:{(48,1),(79,1),(84,1)}
       68:{1,3,5}:{(49,1),(52,1),(80,1),(88,1),(89,1),(116,1),(126,1),(128,1),(182,1)}
       69:{1,4}:{(50,1),(53,1),(85,1)}
       70:{1,3,5}:{(51,1),(54,1),(86,1),(90,1),(128,1),(156,1)}
       71:{3,4}:{(52,1),(53,1)}
       72:{2,4,5}:{(53,1),(54,1),(90,1),(92,1),(93,1)}
       73:{2,3,5,6}:{(54,1),(91,1),(93,1),(125,1),(157,1),(160,1)}
       74:{2,3,5}:{(55,1),(56,1),(94,1),(103,1),(141,1)}
       75:{1,4,5}:{(55,1),(57,1),(94,1),(95,1),(163,1)}
       76:{1,3,4,6}:{(56,1),(57,1),(59,1),(64,1),(94,1),(96,1),(97,1),(135,1),(136,1),(140,1),(163,1)}
       77:{2,4,6}:{(57,1),(58,1),(95,1),(97,1)}
       78:{2,3,5,6}:{(58,1),(61,1),(65,1),(97,1),(98,1),(100,1),(109,1),(134,1),(138,1),(141,1),(146,1)}
       79:{2,6}:{(59,1),(67,1)}
       80:{1,3,6}:{(60,1),(62,1),(68,1),(97,1),(100,1),(146,1),(184,1)}
       81:{1,4,6}:{(61,1),(63,1),(69,1),(98,1),(102,1),(163,1)}
       82:{3,4,6}:{(62,1),(63,1),(71,1),(103,1),(178,1),(184,1)}
       83:{2,4,5}:{(63,1),(102,1),(103,1),(141,1)}
       84:{2,4}:{(64,1),(67,1),(106,1)}
       85:{2,4}:{(65,1),(69,1),(107,1)}
       86:{2,5}:{(66,1),(70,1)}
       87:{1,2,5}:{(67,1),(99,1),(105,1),(110,1),(170,1)}
       88:{2,3,5}:{(67,1),(68,1),(100,1),(106,1),(110,1),(111,1),(141,1),(143,1),(170,1)}
       89:{1,3,4}:{(68,1),(69,1),(71,1),(107,1),(111,1),(135,1),(163,1),(178,1)}
       90:{1,4,5}:{(69,1),(70,1),(72,1),(108,1),(113,1)}
       91:{1,3,5,6}:{(70,1),(73,1),(109,1),(113,1),(146,1),(169,1),(171,1)}
       92:{3,4,5}:{(71,1),(72,1),(103,1),(114,1)}
       93:{2,4,6}:{(72,1),(73,1),(113,1),(114,1)}
       94:{1,3,5}:{(74,1),(75,1),(76,1),(115,1),(116,1),(156,1)}
       95:{2,4,5}:{(75,1),(77,1),(115,1),(116,1),(150,1)}
       96:{2,4,6}:{(76,1),(79,1),(84,1),(115,1),(118,1),(150,1)}
       97:{3,6}:{(77,1),(116,1)}
       98:{2,4,6}:{(78,1),(81,1),(85,1),(119,1),(120,1),(150,1)}
       99:{1,2,6}:{(79,1),(87,1),(121,1),(177,1)}
      100:{2,3,6}:{(79,1),(80,1),(88,1),(121,1),(122,1),(177,1)}
      101:{1,3,4,6}:{(80,1),(81,1),(82,1),(89,1),(119,1),(122,1),(123,1)}
      102:{1,4,5}:{(81,1),(83,1),(120,1),(123,1),(156,1)}
      103:{3,5}:{(82,1),(83,1)}
      104:{2,4,5,6}:{(83,1),(93,1),(124,1),(125,1),(157,1),(183,1)}
      105:{1,2,4}:{(84,1),(87,1),(126,1),(130,1),(158,1)}
      106:{2,3}:{(84,1),(126,1)}
      107:{3,4}:{(85,1),(128,1)}
      108:{2,4,5}:{(85,1),(86,1),(90,1),(128,1),(129,1)}
      109:{2,5,6}:{(86,1),(91,1),(129,1),(177,1)}
      110:{1,3,5}:{(87,1),(88,1),(121,1),(126,1),(130,1),(156,1)}
      111:{2,4}:{(88,1),(89,1),(130,1)}
      112:{1,3,4,5}:{(89,1),(90,1),(92,1),(123,1),(128,1),(131,1),(132,1),(151,1),(159,1),(173,1),(182,1)}
      113:{1,4,6}:{(90,1),(91,1),(93,1),(129,1)}
      114:{3,4,6}:{(92,1),(93,1),(125,1)}
      115:{2,5}:{(94,1),(96,1)}
      116:{3,5}:{(95,1),(97,1),(135,1)}
      117:{1,2,4,6}:{(96,1),(99,1),(105,1),(133,1),(136,1),(140,1),(163,1),(166,1)}
      118:{2,3,6}:{(96,1),(97,1),(106,1),(134,1),(136,1)}
      119:{3,4,6}:{(97,1),(98,1),(107,1),(135,1),(138,1),(146,1)}
      120:{2,4,5}:{(98,1),(102,1),(138,1),(141,1)}
      121:{1,3,6}:{(99,1),(100,1),(110,1),(140,1)}
      122:{2,4,6}:{(100,1),(101,1),(111,1),(140,1),(141,1)}
      123:{1,3,5}:{(101,1),(102,1),(103,1),(138,1),(141,1)}
      124:{1,4,5,6}:{(102,1),(104,1),(113,1),(139,1),(142,1),(169,1),(180,1)}
      125:{3,5,6}:{(103,1),(104,1),(114,1),(184,1)}
      126:{1,3}:{(105,1),(106,1),(143,1)}
      127:{2,3,4}:{(106,1),(107,1),(111,1),(144,1),(145,1),(178,1)}
      128:{3,5}:{(107,1),(108,1),(146,1)}
      129:{2,4,6}:{(108,1),(109,1),(113,1),(146,1)}
      130:{1,4}:{(110,1),(111,1)}
      131:{2,4,5}:{(111,1),(112,1),(141,1),(145,1),(147,1),(148,1),(170,1)}
      132:{1,3,4,6}:{(112,1),(113,1),(114,1),(142,1),(146,1),(148,1),(165,1),(171,1),(180,1),(184,1)}
      133:{1,2,5}:{(115,1),(117,1),(149,1),(156,1),(175,1)}
      134:{2,3,5}:{(115,1),(116,1),(118,1),(149,1),(150,1)}
      135:{3,4}:{(116,1),(150,1)}
      136:{1,3,6}:{(117,1),(118,1),(126,1),(149,1),(152,1)}
      137:{2,3,4,6}:{(118,1),(119,1),(122,1),(127,1),(150,1),(153,1),(154,1),(160,1),(174,1)}
      138:{3,5}:{(119,1),(120,1)}
      139:{2,4,5,6}:{(120,1),(124,1),(129,1),(155,1),(157,1),(174,1)}
      140:{1,4,6}:{(121,1),(122,1),(130,1),(156,1)}
      141:{2,5}:{(122,1),(123,1),(156,1)}
      142:{1,3,5,6}:{(123,1),(124,1),(125,1),(132,1),(155,1),(157,1)}
      143:{2,3}:{(126,1),(158,1)}
      144:{1,3,4}:{(126,1),(127,1),(130,1),(158,1),(159,1)}
      145:{2,3,5}:{(127,1),(128,1),(131,1),(159,1),(160,1),(182,1)}
      146:{3,6}:{(128,1),(129,1)}
      147:{1,4,5}:{(130,1),(131,1),(156,1),(159,1),(161,1)}
      148:{2,4,6}:{(131,1),(132,1),(157,1),(160,1),(161,1),(177,1)}
      149:{1,3,5}:{(133,1),(134,1),(136,1),(162,1),(163,1)}
      150:{2,4}:{(134,1),(135,1),(163,1)}
      151:{3,4,5}:{(135,1),(138,1),(164,1),(165,1)}
      152:{2,3,6}:{(136,1),(143,1),(162,1),(166,1),(184,1)}
      153:{1,3,4,6}:{(136,1),(137,1),(140,1),(144,1),(163,1),(166,1),(167,1),(171,1),(178,1),(180,1),(184,1)}
      154:{2,3,5}:{(137,1),(138,1),(141,1),(164,1),(167,1)}
      155:{3,5,6}:{(138,1),(139,1),(146,1),(165,1)}
      156:{1,5}:{(140,1),(141,1)}
      157:{2,5,6}:{(141,1),(142,1),(148,1),(169,1)}
      158:{2,4}:{(143,1),(144,1),(170,1)}
      159:{1,3,5}:{(144,1),(145,1),(147,1),(170,1),(171,1)}
      160:{2,3,6}:{(145,1),(146,1),(148,1),(171,1),(184,1)}
      161:{1,4,6}:{(147,1),(148,1),(169,1),(171,1)}
      162:{2,3,5}:{(149,1),(152,1),(172,1),(175,1),(182,1)}
      163:{1,4}:{(149,1),(150,1),(172,1)}
      164:{2,4,5}:{(150,1),(151,1),(154,1),(173,1),(174,1)}
      165:{3,4,6}:{(151,1),(155,1),(174,1)}
      166:{2,4,6}:{(152,1),(153,1),(158,1),(172,1),(175,1),(177,1)}
      167:{1,3,5}:{(153,1),(154,1),(156,1),(173,1),(175,1),(182,1)}
      168:{2,3,5,6}:{(154,1),(155,1),(157,1),(160,1),(174,1),(176,1)}
      169:{1,5,6}:{(156,1),(157,1),(161,1)}
      170:{2,5}:{(158,1),(159,1),(177,1)}
      171:{1,3,6}:{(159,1),(160,1),(161,1),(177,1)}
      172:{2,4}:{(162,1),(163,1),(178,1)}
      173:{1,4,5}:{(163,1),(164,1),(167,1),(179,1),(180,1)}
      174:{2,4,6}:{(164,1),(165,1),(168,1),(180,1)}
      175:{2,5}:{(166,1),(167,1)}
      176:{1,3,5,6}:{(167,1),(168,1),(169,1),(171,1),(180,1),(181,1),(184,1)}
      177:{2,6}:{(170,1),(171,1)}
      178:{3,4}:{(172,1),(182,1)}
      179:{2,4,5}:{(172,1),(173,1),(175,1),(182,1),(183,1)}
      180:{1,4,6}:{(173,1),(174,1),(176,1),(183,1)}
      181:{2,5,6}:{(175,1),(176,1),(177,1),(183,1)}
      182:{3,5}:{(178,1),(179,1),(184,1)}
      183:{2,4,6}:{(179,1),(180,1),(181,1),(184,1)}
      184:{3,6}:{(182,1),(183,1)}

437 :  0:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       1:{1,2,5}:{(0,1),(5,1),(17,1),(27,1)}
       2:{1,3,6}:{(0,1),(4,1),(5,1),(44,1)}
       3:{1,2,6}:{(7,1),(8,1),(43,1)}
       4:{2,3,6}:{(2,1),(8,1),(9,1),(10,1),(38,1),(43,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(11,1),(34,1),(42,1)}
       6:{1,3,4,6}:{(2,1),(10,1),(11,1),(12,1),(23,1),(26,1),(38,1)}
       7:{1,2,5}:{(3,1),(13,1),(14,1),(40,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(14,1),(16,1),(17,1),(28,1),(32,1),(40,1)}
      10:{2,4,6}:{(4,1),(6,1),(15,1),(16,1),(17,1)}
      11:{1,4}:{(5,1),(16,1)}
      12:{1,3,5}:{(6,1),(17,1),(18,1),(32,1)}
      13:{1,2,4}:{(7,1),(20,1),(21,1),(35,1)}
      14:{1,3,5}:{(7,1),(8,1),(9,1),(20,1),(21,1),(22,1)}
      15:{1,4,6}:{(8,1),(10,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(11,1),(21,1),(23,1)}
      17:{2,5}:{(10,1),(12,1),(22,1)}
      18:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(42,1)}
      19:{1,3,5,6}:{(12,1),(25,1),(26,1),(38,1)}
      20:{1,3}:{(13,1),(28,1)}
      21:{1,4}:{(14,1),(16,1)}
      22:{1,5}:{(15,1),(17,1)}
      23:{3,4}:{(16,1),(32,1)}
      24:{2,4,5}:{(16,1),(17,1),(18,1),(30,1),(32,1),(33,1),(40,1)}
      25:{2,5,6}:{(17,1),(19,1),(31,1),(33,1)}
      26:{1,4,6}:{(18,1),(19,1),(33,1),(44,1)}
      27:{1,2}:{(34,1)}
      28:{2,3}:{(20,1),(34,1),(35,1)}
      29:{1,3,4}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
      30:{1,4,5}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
      31:{1,5,6}:{(22,1),(25,1),(37,1)}
      32:{3,5}:{(23,1),(24,1),(38,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(37,1),(38,1),(43,1)}
      34:{1,3}:{(27,1),(28,1),(39,1)}
      35:{2,4}:{(28,1),(29,1),(39,1),(40,1)}
      36:{1,3,5}:{(29,1),(30,1),(32,1),(40,1),(41,1)}
      37:{1,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{3,6}:{(32,1),(33,1)}
      39:{1,4}:{(34,1),(35,1),(42,1)}
      40:{2,5}:{(35,1),(36,1),(42,1),(43,1)}
      41:{1,3,6}:{(36,1),(37,1),(38,1),(43,1)}
      42:{1,5}:{(39,1),(40,1),(44,1)}
      43:{2,6}:{(40,1),(41,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

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

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

440 :  0:{4,5,6}:{(2,1),(80,1)}
       1:{3,4,5}:{(4,1),(5,1),(72,1),(79,1)}
       2:{3,5,6}:{(0,1),(4,1),(6,1),(79,1)}
       3:{2,3,4}:{(7,1),(8,1),(47,1),(67,1)}
       4:{3,4,6}:{(1,1),(2,1),(9,1)}
       5:{2,4,5}:{(1,1),(7,1),(9,1),(10,1),(67,1),(77,1)}
       6:{2,5,6}:{(2,1),(9,1),(11,1),(77,1)}
       7:{2,3,5}:{(3,1),(5,1),(13,1),(14,1)}
       8:{1,3,4}:{(3,1),(14,1),(15,1),(36,1),(40,1),(60,1)}
       9:{2,4,6}:{(4,1),(5,1),(6,1),(13,1),(16,1)}
      10:{1,4,5}:{(5,1),(14,1),(16,1),(17,1),(60,1),(74,1)}
      11:{1,5,6}:{(6,1),(16,1),(18,1),(74,1)}
      12:{2,3,4}:{(20,1),(21,1),(25,1),(51,1)}
      13:{2,3,6}:{(7,1),(9,1),(23,1)}
      14:{1,3,5}:{(7,1),(8,1),(10,1),(23,1),(24,1),(27,1)}
      15:{2,4}:{(8,1),(24,1),(25,1)}
      16:{1,4,6}:{(9,1),(10,1),(11,1),(23,1),(26,1)}
      17:{2,4,5}:{(10,1),(24,1),(26,1),(27,1),(51,1),(53,1),(69,1)}
      18:{2,5,6}:{(11,1),(26,1),(28,1),(69,1)}
      19:{3,4,5}:{(30,1),(31,1),(40,1),(62,1)}
      20:{2,3,5}:{(12,1),(31,1),(32,1),(33,1)}
      21:{1,3,4}:{(12,1),(33,1),(34,1),(36,1),(60,1),(72,1)}
      22:{1,2,4}:{(15,1),(34,1),(35,1),(36,1),(60,1)}
      23:{1,3,6}:{(13,1),(14,1),(16,1),(37,1),(39,1)}
      24:{2,5}:{(14,1),(15,1),(37,1)}
      25:{2,3}:{(15,1),(36,1)}
      26:{2,4,6}:{(16,1),(17,1),(18,1),(37,1),(39,1),(41,1)}
      27:{3,5}:{(17,1),(39,1),(40,1)}
      28:{3,5,6}:{(18,1),(39,1),(41,1),(62,1)}
      29:{4,5,6}:{(42,1),(53,1)}
      30:{3,4,6}:{(19,1),(42,1),(43,1)}
      31:{2,4,5}:{(19,1),(20,1),(43,1),(44,1),(51,1),(69,1)}
      32:{2,3,6}:{(20,1),(43,1),(45,1)}
      33:{1,3,5}:{(20,1),(21,1),(44,1),(45,1),(46,1),(65,1)}
      34:{2,4}:{(21,1),(46,1),(47,1)}
      35:{1,2,5}:{(22,1),(24,1),(46,1),(48,1),(49,1)}
      36:{1,3}:{(22,1),(25,1),(47,1)}
      37:{2,6}:{(23,1),(24,1)}
      38:{2,3,5}:{(24,1),(25,1),(27,1),(49,1),(50,1),(51,1),(69,1)}
      39:{3,6}:{(26,1),(27,1)}
      40:{3,4}:{(27,1),(51,1)}
      41:{4,6}:{(28,1),(53,1)}
      42:{3,5,6}:{(29,1),(30,1),(54,1),(62,1)}
      43:{2,4,6}:{(30,1),(31,1),(32,1),(54,1),(55,1)}
      44:{1,4,5}:{(31,1),(33,1),(55,1),(56,1),(60,1),(74,1)}
      45:{1,3,6}:{(32,1),(33,1),(55,1),(57,1),(71,1)}
      46:{2,5}:{(33,1),(34,1),(57,1)}
      47:{2,3}:{(34,1),(36,1)}
      48:{1,2,6}:{(35,1),(37,1),(57,1),(59,1)}
      49:{1,3,5}:{(35,1),(36,1),(38,1),(58,1),(59,1),(60,1),(74,1)}
      50:{2,3,6}:{(37,1),(38,1),(39,1),(59,1),(61,1)}
      51:{2,4}:{(38,1),(40,1),(60,1)}
      52:{3,4,6}:{(39,1),(40,1),(41,1),(61,1),(62,1)}
      53:{4,5}:{(41,1),(62,1)}
      54:{2,5,6}:{(42,1),(43,1),(63,1),(69,1)}
      55:{1,4,6}:{(43,1),(44,1),(45,1),(63,1),(64,1)}
      56:{2,4,5}:{(44,1),(46,1),(64,1),(65,1),(67,1),(77,1),(80,1)}
      57:{2,6}:{(45,1),(46,1)}
      58:{2,3,5}:{(46,1),(47,1),(49,1),(65,1),(66,1),(67,1),(77,1)}
      59:{1,3,6}:{(48,1),(49,1),(50,1),(66,1),(68,1)}
      60:{1,4}:{(49,1),(51,1),(67,1)}
      61:{2,4,6}:{(50,1),(51,1),(52,1),(68,1),(69,1)}
      62:{3,5}:{(52,1),(53,1),(69,1)}
      63:{1,5,6}:{(54,1),(55,1),(70,1),(74,1)}
      64:{2,4,6}:{(55,1),(56,1),(57,1),(70,1),(71,1),(78,1)}
      65:{3,5}:{(56,1),(71,1),(72,1)}
      66:{2,3,6}:{(57,1),(58,1),(59,1),(71,1),(73,1)}
      67:{2,4}:{(58,1),(60,1),(72,1)}
      68:{1,4,6}:{(59,1),(60,1),(61,1),(73,1),(74,1)}
      69:{2,5}:{(61,1),(62,1),(74,1)}
      70:{2,5,6}:{(63,1),(64,1),(75,1),(77,1)}
      71:{3,6}:{(64,1),(65,1)}
      72:{3,4}:{(65,1),(67,1)}
      73:{2,4,6}:{(66,1),(67,1),(68,1),(76,1),(77,1)}
      74:{1,5}:{(68,1),(69,1),(77,1)}
      75:{3,5,6}:{(70,1),(71,1),(78,1),(79,1)}
      76:{3,4,6}:{(71,1),(72,1),(73,1),(78,1),(79,1)}
      77:{2,5}:{(73,1),(74,1),(79,1)}
      78:{4,6}:{(75,1),(80,1)}
      79:{3,5}:{(76,1),(77,1),(80,1)}
      80:{4,5}:{(78,1),(79,1)}

441 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

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

443 :  0:{1,3,4,5,6}:{(1,1),(6,1),(16,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(10,1),(22,1)}
       2:{2,3,5,6}:{(1,1),(5,1),(6,1)}
       3:{1,4,5,6}:{(1,1),(6,1),(28,1)}
       4:{2,3,4,5}:{(5,1),(8,1),(29,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(4,1),(9,1),(22,1),(32,1)}
       6:{1,3,5,6}:{(2,1),(3,1),(9,1),(10,1)}
       7:{1,2,4,5,6}:{(3,1),(10,1),(11,1),(19,1),(22,1),(35,1),(39,1)}
       8:{1,3,4,5}:{(4,1),(9,1),(12,1),(24,1),(35,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(8,1),(13,1),(26,1),(28,1)}
      10:{2,5,6}:{(6,1),(13,1)}
      11:{1,3,5,6}:{(7,1),(15,1),(16,1),(26,1),(38,1)}
      12:{2,4,5}:{(8,1),(13,1),(18,1)}
      13:{2,4,6}:{(9,1),(10,1),(12,1),(20,1)}
      14:{1,2,5,6}:{(10,1),(19,1),(21,1),(39,1)}
      15:{2,3,5,6}:{(10,1),(11,1),(20,1),(21,1),(22,1),(32,1),(34,1),(39,1)}
      16:{1,3,4,6}:{(11,1),(22,1),(23,1)}
      17:{1,2,4,5}:{(12,1),(19,1),(24,1),(35,1),(36,1),(39,1)}
      18:{2,3,5}:{(12,1),(20,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(17,1),(26,1),(28,1),(37,1)}
      20:{2,3,6}:{(13,1),(18,1),(26,1)}
      21:{1,3,5,6}:{(14,1),(15,1),(26,1),(28,1),(38,1)}
      22:{2,4,6}:{(15,1),(16,1),(28,1),(29,1)}
      23:{1,3,4,5}:{(16,1),(29,1),(38,1)}
      24:{1,3,5}:{(17,1),(18,1),(26,1),(30,1),(31,1)}
      25:{2,3,4}:{(18,1),(31,1)}
      26:{1,3,6}:{(19,1),(20,1),(24,1),(32,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(25,1),(33,1),(34,1)}
      28:{1,4,6}:{(21,1),(22,1),(35,1)}
      29:{2,4,5}:{(22,1),(23,1),(34,1),(35,1),(39,1)}
      30:{2,3,5}:{(24,1),(32,1),(36,1),(39,1)}
      31:{1,3,4}:{(24,1),(25,1),(36,1)}
      32:{2,3,6}:{(26,1),(30,1),(37,1)}
      33:{1,3,4,6}:{(26,1),(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{2,3,5}:{(27,1),(29,1),(38,1)}
      35:{1,4,5}:{(28,1),(29,1),(38,1)}
      36:{2,4}:{(30,1),(31,1)}
      37:{2,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{1,3,5}:{(33,1),(34,1),(35,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

444 :  0:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(54,1),(57,1),(58,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(18,1),(66,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(12,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1),(58,1),(59,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(18,1),(31,1),(46,1),(48,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(10,1),(18,1),(50,1),(51,1)}
       7:{1,3,4,5}:{(5,1),(11,1),(12,1)}
       8:{1,3,5,6}:{(4,1),(5,1),(11,1),(13,1),(58,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1),(14,1)}
      10:{1,3,4,6}:{(6,1),(14,1),(15,1),(26,1),(43,1),(44,1)}
      11:{1,3,4,6}:{(7,1),(8,1),(18,1)}
      12:{2,4,5}:{(7,1),(9,1),(18,1),(19,1)}
      13:{2,3,5,6}:{(8,1),(9,1),(18,1),(20,1),(46,1),(50,1)}
      14:{1,3,5}:{(9,1),(10,1),(19,1),(21,1)}
      15:{1,2,4,6}:{(10,1),(21,1),(22,1),(37,1)}
      16:{1,3,4,5,6}:{(11,1),(23,1),(38,1),(56,1)}
      17:{2,3,4,5}:{(12,1),(24,1),(25,1),(42,1),(70,1)}
      18:{2,4,6}:{(11,1),(12,1),(13,1),(26,1)}
      19:{1,4,5}:{(12,1),(14,1),(26,1)}
      20:{1,3,5,6}:{(13,1),(14,1),(26,1),(28,1),(43,1)}
      21:{1,2,5}:{(14,1),(15,1)}
      22:{1,2,3,6}:{(15,1),(29,1),(43,1)}
      23:{2,4,5,6}:{(16,1),(18,1),(30,1),(31,1),(46,1),(63,1)}
      24:{2,3,4,6}:{(17,1),(18,1),(30,1),(32,1),(50,1),(63,1)}
      25:{1,3,4,5}:{(17,1),(19,1),(32,1),(33,1),(35,1),(49,1),(73,1)}
      26:{1,4,6}:{(18,1),(19,1),(20,1)}
      27:{1,2,4,5}:{(19,1),(21,1),(33,1),(34,1),(35,1),(37,1)}
      28:{1,2,5,6}:{(20,1),(21,1),(34,1),(46,1)}
      29:{1,2,3,5}:{(21,1),(22,1),(35,1),(37,1)}
      30:{2,3,5,6}:{(23,1),(24,1),(38,1)}
      31:{1,4,5,6}:{(23,1),(26,1),(38,1),(69,1)}
      32:{1,3,4,6}:{(24,1),(25,1),(26,1),(38,1),(41,1),(43,1),(58,1),(69,1)}
      33:{2,4,5}:{(25,1),(41,1),(42,1)}
      34:{1,2,4,6}:{(26,1),(27,1),(28,1),(41,1),(43,1)}
      35:{1,3,5}:{(27,1),(42,1),(43,1),(44,1)}
      36:{1,2,3,5,6}:{(28,1),(29,1),(43,1),(45,1),(55,1),(61,1)}
      37:{1,2,4}:{(29,1),(44,1)}
      38:{1,3,5,6}:{(30,1),(31,1),(32,1),(46,1)}
      39:{1,2,4,5,6}:{(31,1),(34,1),(46,1),(47,1),(53,1),(63,1)}
      40:{1,2,4,5}:{(33,1),(48,1),(49,1),(66,1),(73,1),(74,1)}
      41:{2,4,6}:{(32,1),(33,1),(46,1),(50,1)}
      42:{2,3,5}:{(33,1),(35,1),(49,1),(50,1),(51,1)}
      43:{1,3,6}:{(34,1),(35,1),(50,1)}
      44:{1,3,4}:{(35,1),(37,1),(51,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(52,1),(53,1),(63,1)}
      46:{2,5,6}:{(38,1),(41,1)}
      47:{1,3,5,6}:{(39,1),(43,1),(55,1),(56,1),(61,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(54,1),(58,1),(69,1)}
      49:{1,3,5}:{(40,1),(42,1),(58,1),(59,1)}
      50:{2,3,6}:{(41,1),(42,1),(43,1),(58,1)}
      51:{2,3,4}:{(42,1),(44,1),(59,1)}
      52:{1,3,4,6}:{(43,1),(44,1),(45,1),(60,1),(61,1)}
      53:{1,2,4,5}:{(45,1),(61,1),(70,1)}
      54:{1,2,5,6}:{(46,1),(48,1),(62,1),(74,1)}
      55:{2,3,5,6}:{(46,1),(47,1),(50,1),(62,1),(63,1),(68,1)}
      56:{1,3,4,6}:{(47,1),(63,1),(64,1)}
      57:{1,2,3,5}:{(49,1),(65,1),(66,1),(74,1)}
      58:{1,3,6}:{(48,1),(49,1),(50,1)}
      59:{1,3,4}:{(49,1),(51,1),(66,1)}
      60:{2,3,4,6}:{(50,1),(51,1),(52,1),(63,1),(67,1),(68,1)}
      61:{1,3,5}:{(52,1),(53,1),(68,1)}
      62:{1,3,5,6}:{(54,1),(55,1),(58,1),(69,1),(72,1)}
      63:{2,4,6}:{(55,1),(56,1),(69,1),(70,1)}
      64:{1,3,4,5}:{(56,1),(61,1),(70,1)}
      65:{1,2,3,6}:{(57,1),(58,1),(71,1)}
      66:{1,2,4}:{(57,1),(59,1)}
      67:{1,3,4,6}:{(58,1),(59,1),(60,1),(69,1),(71,1),(72,1)}
      68:{2,3,5}:{(60,1),(61,1),(70,1),(72,1)}
      69:{1,4,6}:{(62,1),(63,1),(73,1)}
      70:{2,4,5}:{(63,1),(64,1),(68,1),(73,1)}
      71:{1,2,4,6}:{(65,1),(66,1),(67,1),(74,1)}
      72:{1,3,5}:{(67,1),(68,1),(73,1),(74,1)}
      73:{1,4,5}:{(69,1),(70,1),(72,1)}
      74:{1,2,5}:{(71,1),(72,1)}

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

446 :  0:{1,2,4,6}:{(1,1),(2,1),(6,1),(10,1)}
       1:{1,3,6}:{(0,1),(4,1),(5,1),(43,1)}
       2:{1,2,5}:{(0,1),(5,1),(13,1),(44,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(10,1),(19,1),(24,1),(32,1)}
       4:{2,3,6}:{(1,1),(6,1),(8,1),(9,1),(32,1),(40,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(10,1),(41,1),(42,1)}
       6:{2,4,6}:{(3,1),(4,1),(12,1),(13,1),(17,1)}
       7:{1,3,5}:{(3,1),(13,1),(14,1),(28,1)}
       8:{1,3,6}:{(4,1),(12,1),(15,1),(16,1)}
       9:{2,3,5}:{(4,1),(5,1),(13,1),(16,1),(17,1),(28,1),(37,1),(38,1)}
      10:{1,4}:{(5,1),(17,1)}
      11:{1,3,5,6}:{(7,1),(18,1),(19,1),(32,1)}
      12:{1,4,6}:{(6,1),(8,1),(20,1),(23,1)}
      13:{2,5}:{(6,1),(7,1),(20,1)}
      14:{1,4,5}:{(7,1),(10,1),(19,1),(21,1),(41,1)}
      15:{1,2,6}:{(8,1),(22,1),(40,1)}
      16:{1,3,5}:{(8,1),(9,1),(20,1),(22,1),(23,1),(34,1)}
      17:{2,4}:{(9,1),(10,1),(23,1),(24,1)}
      18:{2,5,6}:{(11,1),(13,1),(25,1),(26,1)}
      19:{1,4,6}:{(11,1),(14,1),(26,1),(43,1)}
      20:{1,5}:{(12,1),(13,1)}
      21:{2,4,5}:{(13,1),(14,1),(17,1),(26,1),(27,1),(28,1),(37,1)}
      22:{1,2,5}:{(15,1),(16,1),(29,1),(37,1)}
      23:{1,4}:{(16,1),(17,1)}
      24:{3,4}:{(17,1),(28,1)}
      25:{1,5,6}:{(18,1),(20,1),(31,1)}
      26:{2,4,6}:{(18,1),(19,1),(21,1),(31,1),(32,1),(40,1)}
      27:{1,4,5}:{(20,1),(21,1),(23,1),(31,1),(33,1)}
      28:{3,5}:{(21,1),(24,1),(32,1)}
      29:{1,2,4}:{(22,1),(23,1),(34,1),(35,1)}
      30:{1,3,4}:{(23,1),(24,1),(33,1),(34,1),(35,1)}
      31:{1,4,6}:{(25,1),(26,1),(27,1),(36,1)}
      32:{3,6}:{(26,1),(28,1)}
      33:{1,3,5}:{(27,1),(28,1),(30,1),(36,1),(37,1)}
      34:{1,3}:{(29,1),(38,1)}
      35:{2,4}:{(30,1),(37,1),(38,1),(39,1)}
      36:{1,3,6}:{(31,1),(32,1),(33,1),(40,1)}
      37:{2,5}:{(33,1),(35,1),(40,1),(41,1)}
      38:{2,3}:{(34,1),(35,1),(42,1)}
      39:{1,4}:{(35,1),(41,1),(42,1)}
      40:{2,6}:{(36,1),(37,1),(43,1)}
      41:{1,5}:{(37,1),(39,1),(43,1)}
      42:{1,3}:{(38,1),(39,1),(44,1)}
      43:{1,6}:{(40,1),(41,1)}
      44:{1,2}:{(42,1)}

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

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

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

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

451 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(4,1),(5,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(3,1),(5,1),(6,1)}
       3:{2,4,5}:{(2,1),(7,1),(8,1),(16,1),(28,1)}
       4:{2,5,6}:{(1,1),(9,1),(16,1),(25,1)}
       5:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       6:{3,4,6}:{(2,1),(8,1)}
       7:{1,4,5}:{(3,1),(5,1),(11,1),(12,1),(21,1),(26,1)}
       8:{3,5}:{(3,1),(6,1),(29,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1),(19,1),(22,1),(26,1),(29,1)}
      11:{2,4,5}:{(7,1),(9,1),(15,1),(16,1),(23,1)}
      12:{1,3,5}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
      13:{3,6}:{(9,1),(15,1)}
      14:{2,4,6}:{(10,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(13,1),(19,1)}
      16:{2,5}:{(12,1),(14,1),(21,1)}
      17:{2,3,6}:{(13,1),(14,1),(20,1),(22,1),(29,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,5}:{(16,1),(18,1)}
      22:{1,3,6}:{(17,1),(18,1),(24,1),(25,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(22,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

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

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

454 :  0:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(17,1),(66,1)}
       2:{1,2,4}:{(0,1),(3,1)}
       3:{1,3,4}:{(2,1),(6,1),(8,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(73,1),(80,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(9,1),(10,1),(19,1),(27,1)}
       6:{2,3,4}:{(3,1),(13,1),(15,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(39,1),(67,1),(79,1)}
       8:{1,3,5}:{(3,1),(5,1),(15,1),(17,1)}
       9:{1,2,5}:{(4,1),(16,1)}
      10:{1,2,4,6}:{(5,1),(17,1),(18,1),(30,1),(39,1)}
      11:{1,3,4,5}:{(8,1),(19,1),(20,1),(27,1),(48,1)}
      12:{1,2,3}:{(22,1)}
      13:{1,3,4}:{(6,1),(22,1),(24,1)}
      14:{2,3,4,6}:{(6,1),(7,1),(23,1),(25,1),(26,1),(49,1),(60,1),(75,1)}
      15:{2,3,5}:{(6,1),(8,1),(19,1),(24,1),(26,1)}
      16:{1,3,5}:{(7,1),(9,1),(25,1),(27,1)}
      17:{1,3,6}:{(8,1),(10,1),(26,1)}
      18:{1,2,5,6}:{(9,1),(10,1),(28,1),(41,1),(80,1)}
      19:{2,4,5}:{(11,1),(15,1),(29,1),(30,1)}
      20:{1,3,4,6}:{(11,1),(17,1),(30,1),(31,1),(39,1),(57,1)}
      21:{1,2,3,6}:{(12,1),(32,1),(33,1),(69,1)}
      22:{1,2,4}:{(12,1),(13,1),(34,1)}
      23:{1,3,4,6}:{(13,1),(14,1),(33,1),(35,1),(36,1),(52,1),(56,1),(69,1)}
      24:{1,3,5}:{(13,1),(15,1),(29,1),(34,1),(36,1)}
      25:{2,3,5}:{(14,1),(16,1),(35,1),(37,1)}
      26:{2,3,6}:{(15,1),(17,1),(30,1),(36,1)}
      27:{1,4,5}:{(16,1),(37,1),(39,1)}
      28:{1,3,5,6}:{(16,1),(17,1),(18,1),(38,1),(39,1),(77,1),(79,1)}
      29:{1,4,5}:{(19,1),(24,1),(40,1)}
      30:{2,4,6}:{(19,1),(20,1),(26,1),(40,1),(41,1)}
      31:{1,3,5,6}:{(20,1),(41,1),(42,1),(59,1)}
      32:{1,2,3,5}:{(21,1),(43,1),(44,1),(61,1)}
      33:{1,2,4,6}:{(21,1),(22,1),(23,1),(43,1),(44,1),(45,1)}
      34:{1,2,5}:{(22,1),(24,1),(45,1)}
      35:{1,3,5}:{(23,1),(25,1),(44,1),(46,1)}
      36:{1,3,6}:{(24,1),(26,1),(40,1),(45,1)}
      37:{2,4,5}:{(25,1),(27,1),(46,1),(48,1),(49,1)}
      38:{2,3,5,6}:{(25,1),(26,1),(28,1),(41,1),(47,1),(49,1),(59,1),(72,1),(75,1)}
      39:{1,4,6}:{(27,1),(28,1),(49,1)}
      40:{1,4,6}:{(29,1),(30,1),(36,1),(50,1)}
      41:{2,5,6}:{(30,1),(31,1),(50,1)}
      42:{1,4,5,6}:{(31,1),(39,1),(51,1),(77,1)}
      43:{1,2,4}:{(32,1),(52,1)}
      44:{1,2,5}:{(33,1),(35,1)}
      45:{1,2,6}:{(34,1),(36,1)}
      46:{1,4,5}:{(35,1),(37,1),(56,1)}
      47:{1,3,5,6}:{(35,1),(36,1),(38,1),(50,1),(54,1),(56,1),(69,1)}
      48:{3,4,5}:{(37,1),(57,1)}
      49:{2,4,6}:{(37,1),(38,1),(39,1),(56,1),(57,1)}
      50:{1,5,6}:{(40,1),(41,1)}
      51:{2,4,5,6}:{(41,1),(42,1),(49,1),(58,1),(59,1),(72,1)}
      52:{1,3,4}:{(43,1),(60,1),(61,1)}
      53:{1,2,4,5}:{(43,1),(44,1),(46,1),(61,1),(62,1),(63,1)}
      54:{1,2,5,6}:{(44,1),(45,1),(47,1),(62,1),(72,1)}
      55:{1,3,4,5}:{(46,1),(48,1),(61,1),(63,1),(64,1)}
      56:{1,4,6}:{(46,1),(47,1),(49,1)}
      57:{3,4,6}:{(48,1),(49,1),(59,1)}
      58:{1,4,5,6}:{(50,1),(51,1),(56,1),(65,1)}
      59:{3,5,6}:{(51,1),(57,1)}
      60:{2,3,4}:{(52,1),(67,1),(68,1)}
      61:{1,3,5}:{(52,1),(53,1),(68,1),(69,1)}
      62:{1,2,4,6}:{(53,1),(54,1),(56,1),(69,1),(71,1)}
      63:{2,4,5}:{(55,1),(68,1),(70,1),(71,1)}
      64:{1,3,4,6}:{(55,1),(56,1),(57,1),(65,1),(69,1),(71,1)}
      65:{1,3,5,6}:{(58,1),(59,1),(64,1),(72,1)}
      66:{1,2,3}:{(73,1)}
      67:{1,3,4}:{(60,1),(73,1),(74,1)}
      68:{2,3,5}:{(60,1),(61,1),(63,1),(74,1),(75,1)}
      69:{1,3,6}:{(61,1),(62,1),(75,1)}
      70:{1,4,5}:{(63,1),(74,1),(76,1)}
      71:{2,4,6}:{(63,1),(64,1),(72,1),(75,1),(76,1)}
      72:{2,5,6}:{(65,1),(71,1),(77,1)}
      73:{1,2,4}:{(66,1),(67,1),(78,1)}
      74:{1,3,5}:{(67,1),(68,1),(70,1),(78,1),(79,1)}
      75:{2,3,6}:{(68,1),(69,1),(71,1),(79,1)}
      76:{1,4,6}:{(70,1),(71,1),(77,1),(79,1)}
      77:{1,5,6}:{(72,1),(76,1)}
      78:{1,2,5}:{(73,1),(74,1),(80,1)}
      79:{1,3,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,2,6}:{(78,1),(79,1)}

455 :  0:{1,2,3,6}:{(1,1),(2,1),(34,1),(50,1)}
       1:{1,2,3,5}:{(0,1),(5,1),(6,1),(21,1)}
       2:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(64,1),(79,1)}
       3:{1,2,3,6}:{(7,1),(8,1),(31,1),(53,1)}
       4:{1,3,4,6}:{(2,1),(9,1),(10,1),(11,1),(30,1),(34,1),(51,1),(75,1)}
       5:{1,2,4}:{(1,1),(11,1)}
       6:{1,2,5}:{(2,1),(10,1)}
       7:{1,2,3,5}:{(3,1),(15,1),(16,1),(38,1)}
       8:{1,2,4,6}:{(3,1),(14,1),(15,1),(16,1),(45,1),(70,1)}
       9:{2,3,4,6}:{(4,1),(14,1),(17,1),(20,1),(37,1),(41,1),(47,1),(66,1)}
      10:{1,3,5}:{(4,1),(6,1),(17,1),(18,1)}
      11:{1,3,4}:{(5,1),(20,1),(21,1)}
      12:{1,2,4,5}:{(5,1),(6,1),(18,1),(21,1),(22,1),(43,1)}
      13:{1,2,5,6}:{(6,1),(19,1),(22,1),(68,1),(79,1)}
      14:{1,3,4,6}:{(8,1),(9,1),(23,1),(24,1),(32,1),(49,1),(53,1),(60,1)}
      15:{1,2,4}:{(7,1),(24,1)}
      16:{1,2,5}:{(8,1),(23,1)}
      17:{2,3,5}:{(9,1),(10,1),(23,1),(27,1)}
      18:{1,4,5}:{(10,1),(27,1),(30,1)}
      19:{1,3,5,6}:{(10,1),(13,1),(28,1),(30,1),(34,1),(75,1),(80,1)}
      20:{2,3,4}:{(11,1),(32,1),(33,1)}
      21:{1,3,5}:{(11,1),(12,1),(33,1),(34,1)}
      22:{1,2,4,6}:{(12,1),(13,1),(30,1),(34,1),(58,1)}
      23:{1,3,5}:{(14,1),(16,1),(17,1),(35,1)}
      24:{1,3,4}:{(15,1),(37,1),(38,1)}
      25:{1,2,4,5}:{(15,1),(16,1),(35,1),(38,1),(39,1),(62,1)}
      26:{1,2,5,6}:{(16,1),(36,1),(39,1),(70,1),(77,1)}
      27:{2,4,5}:{(17,1),(18,1),(35,1),(40,1),(41,1)}
      28:{2,3,5,6}:{(17,1),(19,1),(36,1),(41,1),(47,1),(66,1),(67,1),(68,1),(77,1)}
      29:{1,3,4,5}:{(18,1),(21,1),(40,1),(43,1),(44,1)}
      30:{1,4,6}:{(18,1),(19,1),(41,1)}
      31:{1,2,3}:{(45,1)}
      32:{1,3,4}:{(20,1),(45,1),(46,1)}
      33:{2,3,5}:{(20,1),(21,1),(43,1),(46,1),(47,1)}
      34:{1,3,6}:{(21,1),(22,1),(47,1)}
      35:{1,4,5}:{(23,1),(27,1),(49,1)}
      36:{1,3,5,6}:{(23,1),(26,1),(28,1),(49,1),(53,1),(60,1),(76,1)}
      37:{2,3,4}:{(24,1),(51,1),(52,1)}
      38:{1,3,5}:{(24,1),(25,1),(52,1),(53,1)}
      39:{1,2,4,6}:{(25,1),(26,1),(49,1),(53,1),(73,1)}
      40:{3,4,5}:{(27,1),(55,1)}
      41:{2,4,6}:{(27,1),(28,1),(30,1),(49,1),(55,1)}
      42:{1,4,5,6}:{(30,1),(54,1),(56,1),(80,1)}
      43:{2,4,5}:{(29,1),(33,1),(57,1),(58,1)}
      44:{1,3,4,6}:{(29,1),(30,1),(34,1),(55,1),(56,1),(58,1)}
      45:{1,2,4}:{(31,1),(32,1),(59,1)}
      46:{1,3,5}:{(32,1),(33,1),(57,1),(59,1),(60,1)}
      47:{2,3,6}:{(33,1),(34,1),(58,1),(60,1)}
      48:{1,3,4,5}:{(35,1),(38,1),(40,1),(62,1),(63,1)}
      49:{1,4,6}:{(35,1),(36,1),(41,1)}
      50:{1,2,3}:{(64,1)}
      51:{1,3,4}:{(37,1),(64,1),(65,1)}
      52:{2,3,5}:{(37,1),(38,1),(62,1),(65,1),(66,1)}
      53:{1,3,6}:{(38,1),(39,1),(66,1)}
      54:{2,4,5,6}:{(41,1),(42,1),(61,1),(67,1),(68,1),(77,1)}
      55:{3,4,6}:{(40,1),(41,1),(67,1)}
      56:{1,3,5,6}:{(42,1),(44,1),(67,1),(68,1)}
      57:{1,4,5}:{(43,1),(46,1),(69,1)}
      58:{2,4,6}:{(43,1),(44,1),(47,1),(68,1),(69,1)}
      59:{1,2,5}:{(45,1),(46,1),(70,1)}
      60:{1,3,6}:{(46,1),(47,1),(69,1),(70,1)}
      61:{1,4,5,6}:{(49,1),(54,1),(71,1),(76,1)}
      62:{2,4,5}:{(48,1),(52,1),(72,1),(73,1)}
      63:{1,3,4,6}:{(48,1),(49,1),(53,1),(55,1),(71,1),(73,1)}
      64:{1,2,4}:{(50,1),(51,1),(74,1)}
      65:{1,3,5}:{(51,1),(52,1),(72,1),(74,1),(75,1)}
      66:{2,3,6}:{(52,1),(53,1),(73,1),(75,1)}
      67:{3,5,6}:{(54,1),(55,1)}
      68:{2,5,6}:{(56,1),(58,1),(76,1)}
      69:{1,4,6}:{(57,1),(58,1),(60,1),(76,1)}
      70:{1,2,6}:{(59,1),(60,1)}
      71:{1,3,5,6}:{(61,1),(63,1),(67,1),(77,1)}
      72:{1,4,5}:{(62,1),(65,1),(78,1)}
      73:{2,4,6}:{(62,1),(63,1),(66,1),(77,1),(78,1)}
      74:{1,2,5}:{(64,1),(65,1),(79,1)}
      75:{1,3,6}:{(65,1),(66,1),(78,1),(79,1)}
      76:{1,5,6}:{(68,1),(69,1)}
      77:{2,5,6}:{(71,1),(73,1),(80,1)}
      78:{1,4,6}:{(72,1),(73,1),(75,1),(80,1)}
      79:{1,2,6}:{(74,1),(75,1)}
      80:{1,5,6}:{(77,1),(78,1)}

456 :  0:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       1:{1,2,5}:{(0,1),(5,1),(17,1),(27,1)}
       2:{1,3,6}:{(0,1),(4,1),(5,1),(44,1)}
       3:{1,2,6}:{(7,1),(8,1),(43,1)}
       4:{2,3,6}:{(2,1),(8,1),(9,1),(10,1),(38,1),(43,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(11,1),(34,1),(42,1)}
       6:{1,3,4,6}:{(2,1),(10,1),(11,1),(12,1),(23,1),(26,1),(38,1)}
       7:{1,2,5}:{(3,1),(13,1),(14,1),(40,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(14,1),(16,1),(17,1),(28,1),(32,1),(40,1)}
      10:{2,4,6}:{(4,1),(6,1),(15,1),(16,1),(17,1)}
      11:{1,4}:{(5,1),(16,1)}
      12:{1,3,5}:{(6,1),(17,1),(18,1),(32,1)}
      13:{1,2,4}:{(7,1),(20,1),(21,1),(35,1)}
      14:{1,3,5}:{(7,1),(8,1),(9,1),(20,1),(21,1),(22,1)}
      15:{1,4,6}:{(8,1),(10,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(11,1),(21,1),(23,1)}
      17:{2,5}:{(10,1),(12,1),(22,1)}
      18:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(42,1)}
      19:{1,3,5,6}:{(12,1),(25,1),(26,1),(38,1)}
      20:{1,3}:{(13,1),(28,1)}
      21:{1,4}:{(14,1),(16,1)}
      22:{1,5}:{(15,1),(17,1)}
      23:{3,4}:{(16,1),(32,1)}
      24:{2,4,5}:{(16,1),(17,1),(18,1),(30,1),(32,1),(33,1),(40,1)}
      25:{2,5,6}:{(17,1),(19,1),(31,1),(33,1)}
      26:{1,4,6}:{(18,1),(19,1),(33,1),(44,1)}
      27:{1,2}:{(34,1)}
      28:{2,3}:{(20,1),(34,1),(35,1)}
      29:{1,3,4}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
      30:{1,4,5}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
      31:{1,5,6}:{(22,1),(25,1),(37,1)}
      32:{3,5}:{(23,1),(24,1),(38,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(37,1),(38,1),(43,1)}
      34:{1,3}:{(27,1),(28,1),(39,1)}
      35:{2,4}:{(28,1),(29,1),(39,1),(40,1)}
      36:{1,3,5}:{(29,1),(30,1),(32,1),(40,1),(41,1)}
      37:{1,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{3,6}:{(32,1),(33,1)}
      39:{1,4}:{(34,1),(35,1),(42,1)}
      40:{2,5}:{(35,1),(36,1),(42,1),(43,1)}
      41:{1,3,6}:{(36,1),(37,1),(38,1),(43,1)}
      42:{1,5}:{(39,1),(40,1),(44,1)}
      43:{2,6}:{(40,1),(41,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

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

458 :  0:{1,2,3,6}:{(1,1),(2,1),(31,1),(75,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(65,1),(79,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(21,1)}
       3:{1,2,3,6}:{(7,1),(8,1),(49,1),(59,1)}
       4:{1,3,4,6}:{(1,1),(9,1),(10,1),(13,1),(29,1),(31,1),(51,1),(73,1)}
       5:{1,2,5}:{(1,1),(10,1)}
       6:{1,2,4}:{(2,1),(13,1)}
       7:{1,2,4,6}:{(3,1),(14,1),(15,1),(16,1),(46,1),(69,1)}
       8:{1,2,3,5}:{(3,1),(15,1),(16,1),(37,1)}
       9:{2,3,4,6}:{(4,1),(14,1),(17,1),(22,1),(38,1),(39,1),(44,1),(63,1)}
      10:{1,3,5}:{(4,1),(5,1),(17,1),(19,1)}
      11:{1,2,5,6}:{(5,1),(18,1),(20,1),(67,1),(79,1)}
      12:{1,2,4,5}:{(5,1),(6,1),(19,1),(20,1),(21,1),(43,1)}
      13:{1,3,4}:{(6,1),(21,1),(22,1)}
      14:{1,3,4,6}:{(7,1),(9,1),(23,1),(26,1),(33,1),(47,1),(49,1),(57,1)}
      15:{1,2,5}:{(7,1),(23,1)}
      16:{1,2,4}:{(8,1),(26,1)}
      17:{2,3,5}:{(9,1),(10,1),(23,1),(28,1)}
      18:{1,3,5,6}:{(10,1),(11,1),(27,1),(29,1),(31,1),(73,1),(80,1)}
      19:{1,4,5}:{(10,1),(28,1),(29,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(29,1),(31,1),(55,1)}
      21:{1,3,5}:{(12,1),(13,1),(31,1),(32,1)}
      22:{2,3,4}:{(13,1),(32,1),(33,1)}
      23:{1,3,5}:{(14,1),(15,1),(17,1),(35,1)}
      24:{1,2,5,6}:{(15,1),(34,1),(36,1),(69,1),(77,1)}
      25:{1,2,4,5}:{(15,1),(16,1),(35,1),(36,1),(37,1),(62,1)}
      26:{1,3,4}:{(16,1),(37,1),(38,1)}
      27:{2,3,5,6}:{(17,1),(18,1),(34,1),(39,1),(44,1),(63,1),(66,1),(67,1),(77,1)}
      28:{2,4,5}:{(17,1),(19,1),(35,1),(39,1),(40,1)}
      29:{1,4,6}:{(18,1),(19,1),(39,1)}
      30:{1,3,4,5}:{(19,1),(21,1),(40,1),(42,1),(43,1)}
      31:{1,3,6}:{(20,1),(21,1),(44,1)}
      32:{2,3,5}:{(21,1),(22,1),(43,1),(44,1),(45,1)}
      33:{1,3,4}:{(22,1),(45,1),(46,1)}
      34:{1,3,5,6}:{(23,1),(24,1),(27,1),(47,1),(49,1),(57,1),(76,1)}
      35:{1,4,5}:{(23,1),(28,1),(47,1)}
      36:{1,2,4,6}:{(24,1),(25,1),(47,1),(49,1),(71,1)}
      37:{1,3,5}:{(25,1),(26,1),(49,1),(50,1)}
      38:{2,3,4}:{(26,1),(50,1),(51,1)}
      39:{2,4,6}:{(27,1),(28,1),(29,1),(47,1),(53,1)}
      40:{3,4,5}:{(28,1),(53,1)}
      41:{1,4,5,6}:{(29,1),(52,1),(54,1),(80,1)}
      42:{1,3,4,6}:{(29,1),(30,1),(31,1),(53,1),(54,1),(55,1)}
      43:{2,4,5}:{(30,1),(32,1),(55,1),(56,1)}
      44:{2,3,6}:{(31,1),(32,1),(55,1),(57,1)}
      45:{1,3,5}:{(32,1),(33,1),(56,1),(57,1),(58,1)}
      46:{1,2,4}:{(33,1),(58,1),(59,1)}
      47:{1,4,6}:{(34,1),(35,1),(39,1)}
      48:{1,3,4,5}:{(35,1),(37,1),(40,1),(61,1),(62,1)}
      49:{1,3,6}:{(36,1),(37,1),(63,1)}
      50:{2,3,5}:{(37,1),(38,1),(62,1),(63,1),(64,1)}
      51:{1,3,4}:{(38,1),(64,1),(65,1)}
      52:{2,4,5,6}:{(39,1),(41,1),(60,1),(66,1),(67,1),(77,1)}
      53:{3,4,6}:{(39,1),(40,1),(66,1)}
      54:{1,3,5,6}:{(41,1),(42,1),(66,1),(67,1)}
      55:{2,4,6}:{(42,1),(43,1),(44,1),(67,1),(68,1)}
      56:{1,4,5}:{(43,1),(45,1),(68,1)}
      57:{1,3,6}:{(44,1),(45,1),(68,1),(69,1)}
      58:{1,2,5}:{(45,1),(46,1),(69,1)}
      59:{1,2,3}:{(46,1)}
      60:{1,4,5,6}:{(47,1),(52,1),(70,1),(76,1)}
      61:{1,3,4,6}:{(47,1),(48,1),(49,1),(53,1),(70,1),(71,1)}
      62:{2,4,5}:{(48,1),(50,1),(71,1),(72,1)}
      63:{2,3,6}:{(49,1),(50,1),(71,1),(73,1)}
      64:{1,3,5}:{(50,1),(51,1),(72,1),(73,1),(74,1)}
      65:{1,2,4}:{(51,1),(74,1),(75,1)}
      66:{3,5,6}:{(52,1),(53,1)}
      67:{2,5,6}:{(54,1),(55,1),(76,1)}
      68:{1,4,6}:{(55,1),(56,1),(57,1),(76,1)}
      69:{1,2,6}:{(57,1),(58,1)}
      70:{1,3,5,6}:{(60,1),(61,1),(66,1),(77,1)}
      71:{2,4,6}:{(61,1),(62,1),(63,1),(77,1),(78,1)}
      72:{1,4,5}:{(62,1),(64,1),(78,1)}
      73:{1,3,6}:{(63,1),(64,1),(78,1),(79,1)}
      74:{1,2,5}:{(64,1),(65,1),(79,1)}
      75:{1,2,3}:{(65,1)}
      76:{1,5,6}:{(67,1),(68,1)}
      77:{2,5,6}:{(70,1),(71,1),(80,1)}
      78:{1,4,6}:{(71,1),(72,1),(73,1),(80,1)}
      79:{1,2,6}:{(73,1),(74,1)}
      80:{1,5,6}:{(77,1),(78,1)}

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

460 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(4,1),(5,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(3,1),(5,1),(6,1)}
       3:{2,4,5}:{(2,1),(7,1),(8,1),(16,1),(28,1)}
       4:{2,5,6}:{(1,1),(9,1),(16,1),(25,1)}
       5:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       6:{3,4,6}:{(2,1),(8,1)}
       7:{1,4,5}:{(3,1),(5,1),(11,1),(12,1),(21,1),(26,1)}
       8:{3,5}:{(3,1),(6,1),(29,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1),(19,1),(22,1),(26,1),(29,1)}
      11:{2,4,5}:{(7,1),(9,1),(15,1),(16,1),(23,1)}
      12:{1,3,5}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
      13:{3,6}:{(9,1),(15,1)}
      14:{2,4,6}:{(10,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(13,1),(19,1)}
      16:{2,5}:{(12,1),(14,1),(21,1)}
      17:{2,3,6}:{(13,1),(14,1),(20,1),(22,1),(29,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,5}:{(16,1),(18,1)}
      22:{1,3,6}:{(17,1),(18,1),(24,1),(25,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(22,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

461 :  0:{3,4,5,6}:{(2,1),(42,1)}
       1:{2,3,4,5}:{(3,1),(4,1),(25,1),(43,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1),(39,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1),(30,1),(39,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1),(18,1),(29,1),(40,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(9,1)}
       6:{1,4,5,6}:{(2,1),(9,1),(10,1),(35,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(9,1),(11,1),(22,1),(23,1),(35,1)}
       8:{2,4,5}:{(4,1),(11,1),(13,1)}
       9:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1),(15,1)}
      10:{2,4,5,6}:{(6,1),(14,1),(15,1),(28,1)}
      11:{2,4,6}:{(7,1),(8,1),(14,1),(17,1)}
      12:{1,2,4,5}:{(8,1),(16,1),(18,1),(33,1),(40,1),(41,1)}
      13:{2,3,5}:{(8,1),(17,1),(18,1),(19,1)}
      14:{2,5,6}:{(9,1),(11,1)}
      15:{3,5,6}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(20,1),(23,1),(35,1),(37,1)}
      17:{2,3,6}:{(11,1),(13,1),(23,1)}
      18:{1,3,5}:{(12,1),(13,1),(23,1),(25,1),(26,1)}
      19:{2,3,4}:{(13,1),(26,1)}
      20:{1,2,5,6}:{(14,1),(16,1),(27,1),(41,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(17,1),(27,1),(28,1),(32,1)}
      22:{3,4,6}:{(15,1),(28,1),(29,1)}
      23:{1,3,6}:{(16,1),(17,1),(18,1),(30,1)}
      24:{2,3,4,6}:{(17,1),(19,1),(28,1),(31,1),(32,1)}
      25:{2,3,5}:{(18,1),(30,1),(33,1),(41,1)}
      26:{1,3,4}:{(18,1),(19,1),(33,1)}
      27:{1,3,5,6}:{(20,1),(21,1),(23,1),(34,1),(35,1),(38,1)}
      28:{2,4,6}:{(21,1),(22,1),(35,1),(36,1)}
      29:{3,4,5}:{(22,1),(36,1)}
      30:{2,3,6}:{(23,1),(25,1),(37,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(26,1),(35,1),(37,1),(38,1),(42,1)}
      32:{2,3,5}:{(24,1),(36,1),(38,1)}
      33:{2,4}:{(25,1),(26,1)}
      34:{2,3,5,6}:{(27,1),(30,1),(39,1),(41,1),(44,1)}
      35:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      36:{2,4,5}:{(28,1),(29,1),(32,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{1,3,5}:{(31,1),(32,1),(40,1),(41,1),(44,1)}
      39:{2,4,6}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(35,1),(36,1),(38,1),(43,1)}
      41:{2,5}:{(37,1),(38,1)}
      42:{3,4,6}:{(39,1),(44,1)}
      43:{2,4,5}:{(39,1),(40,1),(41,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

462 :  0:{1,2,4,6}:{(2,1),(3,1),(4,1),(16,1)}
       1:{1,3,4,6}:{(2,1),(4,1),(5,1),(13,1),(16,1),(27,1),(30,1)}
       2:{1,3,6}:{(0,1),(7,1),(8,1),(40,1)}
       3:{1,2,5}:{(0,1),(8,1),(10,1),(44,1)}
       4:{2,4,6}:{(1,1),(7,1),(9,1),(10,1),(23,1)}
       5:{1,3,5}:{(1,1),(10,1),(11,1),(25,1)}
       6:{1,3,5,6}:{(5,1),(12,1),(13,1),(27,1)}
       7:{2,3,6}:{(2,1),(4,1),(14,1),(15,1),(27,1),(36,1)}
       8:{1,3,5}:{(2,1),(3,1),(15,1),(16,1),(39,1),(43,1)}
       9:{1,4,6}:{(4,1),(14,1),(17,1),(29,1)}
      10:{2,5}:{(4,1),(5,1),(17,1)}
      11:{1,4,5}:{(5,1),(13,1),(16,1),(18,1),(39,1)}
      12:{2,5,6}:{(6,1),(10,1),(19,1),(20,1)}
      13:{1,4,6}:{(6,1),(11,1),(20,1),(40,1)}
      14:{1,3,6}:{(7,1),(9,1),(21,1),(22,1)}
      15:{2,3,5}:{(7,1),(8,1),(10,1),(22,1),(23,1),(25,1),(35,1),(41,1)}
      16:{1,4}:{(8,1),(23,1)}
      17:{1,5}:{(9,1),(10,1)}
      18:{2,4,5}:{(10,1),(11,1),(20,1),(23,1),(24,1),(25,1),(35,1)}
      19:{1,5,6}:{(12,1),(17,1),(26,1)}
      20:{2,4,6}:{(12,1),(13,1),(18,1),(26,1),(27,1),(36,1)}
      21:{1,2,6}:{(14,1),(28,1),(36,1)}
      22:{1,3,5}:{(14,1),(15,1),(17,1),(28,1),(29,1),(37,1)}
      23:{2,4}:{(15,1),(16,1),(29,1),(30,1)}
      24:{1,4,5}:{(17,1),(18,1),(26,1),(29,1),(31,1)}
      25:{3,5}:{(18,1),(27,1),(30,1)}
      26:{1,4,6}:{(19,1),(20,1),(24,1),(32,1)}
      27:{3,6}:{(20,1),(25,1)}
      28:{1,2,5}:{(21,1),(22,1),(33,1),(35,1)}
      29:{1,4}:{(22,1),(23,1)}
      30:{3,4}:{(23,1),(25,1)}
      31:{1,3,5}:{(24,1),(25,1),(32,1),(34,1),(35,1)}
      32:{1,3,6}:{(26,1),(27,1),(31,1),(36,1)}
      33:{1,2,4}:{(28,1),(29,1),(37,1),(38,1)}
      34:{1,3,4}:{(29,1),(30,1),(31,1),(37,1),(38,1)}
      35:{2,5}:{(31,1),(36,1),(38,1),(39,1)}
      36:{2,6}:{(32,1),(35,1),(40,1)}
      37:{1,3}:{(33,1),(41,1)}
      38:{2,4}:{(34,1),(35,1),(41,1),(42,1)}
      39:{1,5}:{(35,1),(40,1),(42,1)}
      40:{1,6}:{(36,1),(39,1)}
      41:{2,3}:{(37,1),(38,1),(43,1)}
      42:{1,4}:{(38,1),(39,1),(43,1)}
      43:{1,3}:{(41,1),(42,1),(44,1)}
      44:{1,2}:{(43,1)}

463 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(10,1)}
       1:{1,2,4}:{(0,1),(3,1)}
       2:{1,2,3,6}:{(0,1),(5,1),(16,1),(79,1)}
       3:{1,3,4}:{(1,1),(6,1),(7,1)}
       4:{1,2,4,5}:{(1,1),(7,1),(9,1),(10,1),(19,1),(28,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(74,1),(80,1)}
       6:{2,3,4}:{(3,1),(13,1),(14,1)}
       7:{1,3,5}:{(3,1),(4,1),(14,1),(16,1)}
       8:{1,3,4,6}:{(3,1),(5,1),(15,1),(16,1),(17,1),(39,1),(68,1),(77,1)}
       9:{1,2,4,6}:{(4,1),(16,1),(18,1),(30,1),(39,1)}
      10:{1,2,5}:{(5,1),(17,1)}
      11:{1,3,4,5}:{(7,1),(19,1),(20,1),(28,1),(49,1)}
      12:{1,2,3}:{(21,1)}
      13:{1,3,4}:{(6,1),(21,1),(23,1)}
      14:{2,3,5}:{(6,1),(7,1),(19,1),(23,1),(25,1)}
      15:{2,3,4,6}:{(6,1),(8,1),(24,1),(25,1),(26,1),(48,1),(62,1),(72,1)}
      16:{1,3,6}:{(7,1),(9,1),(25,1)}
      17:{1,3,5}:{(8,1),(10,1),(26,1),(28,1)}
      18:{1,2,5,6}:{(9,1),(10,1),(27,1),(41,1),(80,1)}
      19:{2,4,5}:{(11,1),(14,1),(29,1),(30,1)}
      20:{1,3,4,6}:{(11,1),(16,1),(30,1),(31,1),(39,1),(57,1)}
      21:{1,2,4}:{(12,1),(13,1),(32,1)}
      22:{1,2,3,6}:{(12,1),(33,1),(34,1),(66,1)}
      23:{1,3,5}:{(13,1),(14,1),(29,1),(32,1),(35,1)}
      24:{1,3,4,6}:{(13,1),(15,1),(33,1),(35,1),(36,1),(54,1),(55,1),(66,1)}
      25:{2,3,6}:{(14,1),(16,1),(30,1),(35,1)}
      26:{2,3,5}:{(15,1),(17,1),(36,1),(38,1)}
      27:{1,3,5,6}:{(16,1),(17,1),(18,1),(37,1),(39,1),(76,1),(77,1)}
      28:{1,4,5}:{(17,1),(38,1),(39,1)}
      29:{1,4,5}:{(19,1),(23,1),(40,1)}
      30:{2,4,6}:{(19,1),(20,1),(25,1),(40,1),(41,1)}
      31:{1,3,5,6}:{(20,1),(41,1),(42,1),(59,1)}
      32:{1,2,5}:{(21,1),(23,1),(43,1)}
      33:{1,2,4,6}:{(21,1),(22,1),(24,1),(43,1),(44,1),(45,1)}
      34:{1,2,3,5}:{(22,1),(44,1),(45,1),(61,1)}
      35:{1,3,6}:{(23,1),(25,1),(40,1),(43,1)}
      36:{1,3,5}:{(24,1),(26,1),(44,1),(47,1)}
      37:{2,3,5,6}:{(25,1),(26,1),(27,1),(41,1),(46,1),(48,1),(59,1),(71,1),(72,1)}
      38:{2,4,5}:{(26,1),(28,1),(47,1),(48,1),(49,1)}
      39:{1,4,6}:{(27,1),(28,1),(48,1)}
      40:{1,4,6}:{(29,1),(30,1),(35,1),(50,1)}
      41:{2,5,6}:{(30,1),(31,1),(50,1)}
      42:{1,4,5,6}:{(31,1),(39,1),(51,1),(76,1)}
      43:{1,2,6}:{(32,1),(35,1)}
      44:{1,2,5}:{(33,1),(36,1)}
      45:{1,2,4}:{(34,1),(54,1)}
      46:{1,3,5,6}:{(35,1),(36,1),(37,1),(50,1),(52,1),(55,1),(66,1)}
      47:{1,4,5}:{(36,1),(38,1),(55,1)}
      48:{2,4,6}:{(37,1),(38,1),(39,1),(55,1),(57,1)}
      49:{3,4,5}:{(38,1),(57,1)}
      50:{1,5,6}:{(40,1),(41,1)}
      51:{2,4,5,6}:{(41,1),(42,1),(48,1),(58,1),(59,1),(71,1)}
      52:{1,2,5,6}:{(43,1),(44,1),(46,1),(60,1),(71,1)}
      53:{1,2,4,5}:{(44,1),(45,1),(47,1),(60,1),(61,1),(64,1)}
      54:{1,3,4}:{(45,1),(61,1),(62,1)}
      55:{1,4,6}:{(46,1),(47,1),(48,1)}
      56:{1,3,4,5}:{(47,1),(49,1),(61,1),(63,1),(64,1)}
      57:{3,4,6}:{(48,1),(49,1),(59,1)}
      58:{1,4,5,6}:{(50,1),(51,1),(55,1),(65,1)}
      59:{3,5,6}:{(51,1),(57,1)}
      60:{1,2,4,6}:{(52,1),(53,1),(55,1),(66,1),(69,1)}
      61:{1,3,5}:{(53,1),(54,1),(66,1),(67,1)}
      62:{2,3,4}:{(54,1),(67,1),(68,1)}
      63:{1,3,4,6}:{(55,1),(56,1),(57,1),(65,1),(66,1),(69,1)}
      64:{2,4,5}:{(56,1),(67,1),(69,1),(70,1)}
      65:{1,3,5,6}:{(58,1),(59,1),(63,1),(71,1)}
      66:{1,3,6}:{(60,1),(61,1),(72,1)}
      67:{2,3,5}:{(61,1),(62,1),(64,1),(72,1),(73,1)}
      68:{1,3,4}:{(62,1),(73,1),(74,1)}
      69:{2,4,6}:{(63,1),(64,1),(71,1),(72,1),(75,1)}
      70:{1,4,5}:{(64,1),(73,1),(75,1)}
      71:{2,5,6}:{(65,1),(69,1),(76,1)}
      72:{2,3,6}:{(66,1),(67,1),(69,1),(77,1)}
      73:{1,3,5}:{(67,1),(68,1),(70,1),(77,1),(78,1)}
      74:{1,2,4}:{(68,1),(78,1),(79,1)}
      75:{1,4,6}:{(69,1),(70,1),(76,1),(77,1)}
      76:{1,5,6}:{(71,1),(75,1)}
      77:{1,3,6}:{(72,1),(73,1),(75,1),(80,1)}
      78:{1,2,5}:{(73,1),(74,1),(80,1)}
      79:{1,2,3}:{(74,1)}
      80:{1,2,6}:{(77,1),(78,1)}

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

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

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

467 :  0:{1,2,4,5,6}:{(1,1),(5,1),(13,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(24,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(20,1),(21,1)}
       4:{1,3,4,5}:{(2,1),(8,1),(15,1),(26,1)}
       5:{2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,3,4,6}:{(5,1),(11,1),(12,1),(21,1),(28,1)}
       8:{2,4,5}:{(4,1),(5,1),(11,1),(13,1),(20,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(20,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(9,1),(15,1),(16,1),(18,1),(24,1),(26,1),(29,1)}
      13:{1,4,5}:{(8,1),(9,1),(15,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(20,1)}
      16:{2,4,6}:{(12,1),(20,1),(21,1),(28,1)}
      17:{1,2,4,5}:{(13,1),(14,1),(20,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(21,1),(22,1)}
      19:{1,2,4,6}:{(16,1),(23,1),(24,1),(29,1)}
      20:{2,5}:{(15,1),(16,1)}
      21:{2,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,3,5}:{(17,1),(18,1),(25,1),(26,1)}
      23:{1,2,5}:{(19,1),(20,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{2,3,5}:{(20,1),(21,1),(22,1),(27,1),(28,1)}
      26:{1,3,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{2,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

468 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1)}
       2:{2,3,4}:{(3,1),(5,1)}
       3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
       4:{1,2,5}:{(1,1),(7,1),(8,1)}
       5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
       6:{2,3,4}:{(3,1),(11,1)}
       7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
       8:{1,2,6}:{(4,1),(13,1)}
       9:{2,4,5}:{(5,1),(12,1),(14,1),(15,1)}
      10:{2,3,6}:{(5,1),(13,1),(15,1)}
      11:{2,3,5}:{(6,1),(7,1),(16,1),(17,1)}
      12:{1,4,5}:{(7,1),(9,1),(16,1),(18,1)}
      13:{1,3,6}:{(7,1),(8,1),(10,1),(17,1),(18,1)}
      14:{3,4,5}:{(9,1),(19,1)}
      15:{2,4,6}:{(9,1),(10,1),(18,1),(19,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(21,1),(22,1)}
      17:{2,3,6}:{(11,1),(13,1),(22,1)}
      18:{1,4,6}:{(12,1),(13,1),(15,1),(22,1),(23,1)}
      19:{3,4,6}:{(14,1),(15,1),(24,1)}
      20:{2,5,6}:{(15,1),(23,1),(24,1)}
      21:{3,4,5}:{(16,1),(25,1)}
      22:{2,4,6}:{(16,1),(17,1),(18,1),(25,1),(26,1)}
      23:{1,5,6}:{(18,1),(20,1),(26,1)}
      24:{3,5,6}:{(19,1),(20,1),(27,1)}
      25:{3,4,6}:{(21,1),(22,1),(28,1)}
      26:{2,5,6}:{(22,1),(23,1),(28,1)}
      27:{4,5,6}:{(24,1)}
      28:{3,5,6}:{(25,1),(26,1),(29,1)}
      29:{4,5,6}:{(28,1)}

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

470 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

471 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(42,1)}
       1:{1,3,4,5}:{(0,1),(3,1),(4,1),(11,1),(40,1),(41,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(26,1),(39,1)}
       3:{2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,3,4,6}:{(1,1),(2,1),(8,1),(9,1),(20,1),(35,1),(37,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(10,1)}
       6:{1,2,4,5}:{(3,1),(11,1),(12,1),(25,1),(38,1),(40,1)}
       7:{2,3,5}:{(3,1),(11,1),(13,1),(14,1)}
       8:{2,4,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(15,1),(16,1),(31,1)}
      10:{2,4,5,6}:{(5,1),(16,1),(17,1),(39,1)}
      11:{1,3,5}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
      12:{1,2,4,6}:{(6,1),(8,1),(20,1),(21,1),(32,1),(35,1)}
      13:{2,3,4}:{(7,1),(19,1)}
      14:{2,3,6}:{(7,1),(8,1),(20,1)}
      15:{2,5,6}:{(8,1),(9,1)}
      16:{1,4,5,6}:{(9,1),(10,1),(24,1),(35,1)}
      17:{3,4,5,6}:{(10,1),(43,1)}
      18:{2,3,5}:{(11,1),(25,1),(26,1),(38,1)}
      19:{1,3,4}:{(11,1),(13,1),(25,1)}
      20:{1,3,6}:{(11,1),(12,1),(14,1),(26,1)}
      21:{1,2,5,6}:{(12,1),(15,1),(28,1),(38,1)}
      22:{2,3,4,6}:{(13,1),(14,1),(27,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(14,1),(15,1),(28,1),(29,1),(30,1),(31,1)}
      24:{2,4,5,6}:{(15,1),(16,1),(30,1),(31,1)}
      25:{2,4}:{(18,1),(19,1)}
      26:{2,3,6}:{(18,1),(20,1),(32,1)}
      27:{1,3,4,6}:{(19,1),(20,1),(22,1),(32,1),(34,1),(35,1),(43,1)}
      28:{1,3,5,6}:{(20,1),(21,1),(23,1),(33,1),(34,1),(35,1)}
      29:{2,3,5}:{(22,1),(34,1),(36,1)}
      30:{2,4,6}:{(23,1),(35,1),(36,1),(37,1)}
      31:{3,5,6}:{(24,1),(37,1)}
      32:{2,4,6}:{(25,1),(26,1),(27,1),(38,1)}
      33:{2,3,5,6}:{(26,1),(28,1),(38,1),(39,1),(44,1)}
      34:{1,3,5}:{(27,1),(29,1),(38,1),(40,1),(44,1)}
      35:{1,4,6}:{(28,1),(30,1),(39,1),(40,1)}
      36:{2,4,5}:{(29,1),(30,1),(40,1),(41,1)}
      37:{3,4,6}:{(30,1),(31,1),(41,1)}
      38:{2,5}:{(32,1),(34,1)}
      39:{2,4,6}:{(33,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(34,1),(35,1),(36,1),(42,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,4,6}:{(39,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

472 :  0:{1,3,4,5,6}:{(1,1),(5,1),(15,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(9,1),(20,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,4,5,6}:{(1,1),(5,1),(26,1)}
       4:{2,3,4,6}:{(2,1),(7,1),(8,1),(20,1),(30,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,4,5,6}:{(3,1),(9,1),(10,1),(17,1),(20,1),(33,1),(39,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(27,1),(34,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(11,1),(12,1),(24,1),(26,1)}
       9:{2,5,6}:{(5,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(14,1),(15,1),(24,1),(37,1)}
      11:{1,3,4,5}:{(7,1),(8,1),(16,1),(28,1),(33,1)}
      12:{2,4,6}:{(8,1),(9,1),(16,1),(18,1)}
      13:{1,2,5,6}:{(9,1),(17,1),(19,1),(39,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(18,1),(19,1),(20,1),(30,1),(32,1),(39,1)}
      15:{1,3,4,6}:{(10,1),(20,1),(21,1)}
      16:{2,4,5}:{(11,1),(12,1),(23,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(22,1),(24,1),(26,1),(36,1)}
      18:{2,3,6}:{(12,1),(23,1),(24,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(24,1),(26,1),(37,1)}
      20:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(37,1)}
      22:{1,2,4,5}:{(16,1),(17,1),(28,1),(33,1),(38,1),(39,1)}
      23:{2,3,5}:{(16,1),(18,1),(28,1),(29,1)}
      24:{1,3,6}:{(17,1),(18,1),(28,1),(30,1)}
      25:{2,3,4,6}:{(18,1),(20,1),(29,1),(31,1),(32,1)}
      26:{1,4,6}:{(19,1),(20,1),(33,1)}
      27:{2,4,5}:{(20,1),(21,1),(32,1),(33,1),(39,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(34,1),(35,1)}
      29:{2,3,4}:{(23,1),(35,1)}
      30:{2,3,6}:{(24,1),(34,1),(36,1)}
      31:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(36,1),(37,1)}
      32:{2,3,5}:{(25,1),(27,1),(37,1)}
      33:{1,4,5}:{(26,1),(27,1),(37,1)}
      34:{2,3,5}:{(28,1),(30,1),(38,1),(39,1)}
      35:{1,3,4}:{(28,1),(29,1),(38,1)}
      36:{2,4,6}:{(30,1),(31,1),(38,1),(39,1)}
      37:{1,3,5}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,4}:{(34,1),(35,1)}
      39:{2,5}:{(36,1),(37,1)}

473 :  0:{3,4,5,6}:{(1,1),(41,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(36,1)}
       2:{2,3,5,6}:{(1,1),(5,1),(6,1)}
       3:{1,4,5,6}:{(1,1),(6,1),(7,1),(29,1)}
       4:{2,3,4,5}:{(5,1),(8,1),(31,1),(42,1)}
       5:{2,3,4,6}:{(2,1),(4,1),(9,1),(33,1),(36,1)}
       6:{1,3,5,6}:{(2,1),(3,1),(9,1),(10,1),(11,1)}
       7:{2,4,5,6}:{(3,1),(10,1),(11,1),(22,1)}
       8:{1,3,4,5}:{(4,1),(9,1),(12,1),(23,1),(24,1),(37,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(8,1),(13,1),(16,1),(26,1),(29,1)}
      10:{2,5,6}:{(6,1),(13,1)}
      11:{3,5,6}:{(7,1),(16,1)}
      12:{2,4,5}:{(8,1),(13,1),(18,1)}
      13:{2,4,6}:{(9,1),(10,1),(12,1),(20,1)}
      14:{1,2,5,6}:{(10,1),(19,1),(21,1),(43,1)}
      15:{2,3,5,6}:{(10,1),(11,1),(20,1),(21,1),(22,1),(35,1)}
      16:{3,4,6}:{(11,1),(22,1),(23,1)}
      17:{1,2,4,5}:{(12,1),(19,1),(24,1),(37,1),(38,1),(43,1)}
      18:{2,3,5}:{(12,1),(20,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(17,1),(26,1),(29,1),(39,1)}
      20:{2,3,6}:{(13,1),(18,1),(26,1)}
      21:{1,3,5,6}:{(14,1),(15,1),(26,1),(28,1),(29,1),(40,1)}
      22:{2,4,6}:{(15,1),(16,1),(29,1),(30,1)}
      23:{3,4,5}:{(16,1),(30,1)}
      24:{1,3,5}:{(17,1),(18,1),(26,1),(31,1),(32,1)}
      25:{2,3,4}:{(18,1),(32,1)}
      26:{1,3,6}:{(19,1),(20,1),(24,1),(33,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(25,1),(34,1),(35,1)}
      28:{2,3,5,6}:{(21,1),(33,1),(36,1),(43,1),(44,1)}
      29:{1,4,6}:{(21,1),(22,1),(36,1),(37,1)}
      30:{2,4,5}:{(22,1),(23,1),(35,1),(37,1)}
      31:{2,3,5}:{(24,1),(33,1),(38,1),(43,1)}
      32:{1,3,4}:{(24,1),(25,1),(38,1)}
      33:{2,3,6}:{(26,1),(31,1),(39,1)}
      34:{1,3,4,6}:{(26,1),(27,1),(29,1),(32,1),(39,1),(40,1),(41,1)}
      35:{2,3,5}:{(27,1),(30,1),(40,1)}
      36:{2,4,6}:{(28,1),(29,1),(41,1),(42,1)}
      37:{1,4,5}:{(29,1),(30,1),(40,1),(42,1)}
      38:{2,4}:{(31,1),(32,1)}
      39:{2,4,6}:{(33,1),(34,1),(38,1),(43,1)}
      40:{1,3,5}:{(34,1),(35,1),(37,1),(43,1),(44,1)}
      41:{3,4,6}:{(36,1),(44,1)}
      42:{2,4,5}:{(36,1),(37,1),(43,1),(44,1)}
      43:{2,5}:{(39,1),(40,1)}
      44:{3,5}:{(41,1),(42,1)}

474 :  0:{1,2,3,5}:{(1,1),(2,1),(7,1),(11,1)}
       1:{1,2,4}:{(0,1),(4,1)}
       2:{1,2,3,6}:{(0,1),(5,1),(15,1),(80,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(8,1),(11,1),(12,1),(29,1)}
       4:{1,3,4}:{(1,1),(7,1),(9,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(78,1),(79,1)}
       6:{1,3,4,5}:{(7,1),(12,1),(13,1),(29,1),(49,1)}
       7:{1,3,5}:{(3,1),(4,1),(14,1),(15,1)}
       8:{1,2,4,6}:{(3,1),(15,1),(16,1),(21,1),(36,1)}
       9:{2,3,4}:{(4,1),(14,1),(17,1)}
      10:{1,3,4,6}:{(4,1),(5,1),(15,1),(18,1),(19,1),(36,1),(75,1),(76,1)}
      11:{1,2,5}:{(5,1),(19,1)}
      12:{2,4,5}:{(6,1),(14,1),(20,1),(21,1)}
      13:{1,3,4,6}:{(6,1),(15,1),(21,1),(22,1),(36,1),(54,1)}
      14:{2,3,5}:{(7,1),(9,1),(12,1),(23,1),(24,1)}
      15:{1,3,6}:{(7,1),(8,1),(24,1)}
      16:{1,2,5,6}:{(8,1),(11,1),(25,1),(31,1),(78,1)}
      17:{1,3,4}:{(9,1),(23,1),(26,1)}
      18:{2,3,4,6}:{(9,1),(10,1),(24,1),(27,1),(28,1),(45,1),(71,1),(73,1)}
      19:{1,3,5}:{(10,1),(11,1),(28,1),(29,1)}
      20:{1,4,5}:{(12,1),(23,1),(30,1)}
      21:{2,4,6}:{(12,1),(13,1),(24,1),(30,1),(31,1)}
      22:{1,3,5,6}:{(13,1),(31,1),(32,1),(51,1)}
      23:{1,3,5}:{(14,1),(17,1),(20,1),(33,1),(34,1)}
      24:{2,3,6}:{(14,1),(15,1),(21,1),(34,1)}
      25:{1,3,5,6}:{(15,1),(16,1),(19,1),(35,1),(36,1),(70,1),(75,1)}
      26:{1,2,4}:{(17,1),(33,1),(37,1)}
      27:{1,3,4,6}:{(17,1),(18,1),(34,1),(38,1),(39,1),(53,1),(65,1),(67,1)}
      28:{2,3,5}:{(18,1),(19,1),(39,1),(40,1)}
      29:{1,4,5}:{(19,1),(36,1),(40,1)}
      30:{1,4,6}:{(20,1),(21,1),(34,1),(41,1)}
      31:{2,5,6}:{(21,1),(22,1),(41,1)}
      32:{1,4,5,6}:{(22,1),(36,1),(42,1),(70,1)}
      33:{1,2,5}:{(23,1),(26,1),(43,1)}
      34:{1,3,6}:{(23,1),(24,1),(30,1),(43,1)}
      35:{2,3,5,6}:{(24,1),(25,1),(28,1),(31,1),(44,1),(45,1),(51,1),(64,1),(71,1)}
      36:{1,4,6}:{(25,1),(29,1),(45,1)}
      37:{1,2,3}:{(26,1)}
      38:{1,2,4,6}:{(26,1),(27,1),(43,1),(46,1),(47,1),(61,1)}
      39:{1,3,5}:{(27,1),(28,1),(47,1),(48,1)}
      40:{2,4,5}:{(28,1),(29,1),(45,1),(48,1),(49,1)}
      41:{1,5,6}:{(30,1),(31,1)}
      42:{2,4,5,6}:{(31,1),(32,1),(45,1),(50,1),(51,1),(64,1)}
      43:{1,2,6}:{(33,1),(34,1)}
      44:{1,3,5,6}:{(34,1),(35,1),(39,1),(41,1),(52,1),(53,1),(65,1)}
      45:{2,4,6}:{(35,1),(36,1),(40,1),(53,1),(54,1)}
      46:{1,2,3,6}:{(37,1),(38,1),(55,1),(65,1)}
      47:{1,2,5}:{(38,1),(39,1)}
      48:{1,4,5}:{(39,1),(40,1),(53,1)}
      49:{3,4,5}:{(40,1),(54,1)}
      50:{1,4,5,6}:{(41,1),(42,1),(53,1),(58,1)}
      51:{3,5,6}:{(42,1),(54,1)}
      52:{1,2,5,6}:{(43,1),(44,1),(47,1),(59,1),(64,1)}
      53:{1,4,6}:{(44,1),(45,1),(48,1)}
      54:{3,4,6}:{(45,1),(49,1),(51,1)}
      55:{1,2,3,5}:{(46,1),(47,1),(61,1),(62,1)}
      56:{1,2,4,5}:{(47,1),(48,1),(59,1),(61,1),(62,1),(63,1)}
      57:{1,3,4,5}:{(48,1),(49,1),(60,1),(62,1),(63,1)}
      58:{1,3,5,6}:{(50,1),(51,1),(60,1),(64,1)}
      59:{1,2,4,6}:{(52,1),(53,1),(56,1),(65,1),(66,1)}
      60:{1,3,4,6}:{(53,1),(54,1),(57,1),(58,1),(65,1),(66,1)}
      61:{1,2,4}:{(55,1),(67,1)}
      62:{1,3,5}:{(56,1),(65,1),(67,1),(68,1)}
      63:{2,4,5}:{(57,1),(66,1),(68,1),(69,1)}
      64:{2,5,6}:{(58,1),(66,1),(70,1)}
      65:{1,3,6}:{(59,1),(62,1),(71,1)}
      66:{2,4,6}:{(60,1),(63,1),(64,1),(71,1),(72,1)}
      67:{1,3,4}:{(61,1),(62,1),(73,1)}
      68:{2,3,5}:{(62,1),(63,1),(71,1),(73,1),(74,1)}
      69:{1,4,5}:{(63,1),(72,1),(74,1)}
      70:{1,5,6}:{(64,1),(72,1)}
      71:{2,3,6}:{(65,1),(66,1),(68,1),(75,1)}
      72:{1,4,6}:{(66,1),(69,1),(70,1),(75,1)}
      73:{2,3,4}:{(67,1),(68,1),(76,1)}
      74:{1,3,5}:{(68,1),(69,1),(75,1),(76,1),(77,1)}
      75:{1,3,6}:{(71,1),(72,1),(74,1),(78,1)}
      76:{1,3,4}:{(73,1),(74,1),(79,1)}
      77:{1,2,5}:{(74,1),(78,1),(79,1)}
      78:{1,2,6}:{(75,1),(77,1)}
      79:{1,2,4}:{(76,1),(77,1),(80,1)}
      80:{1,2,3}:{(79,1)}

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

476 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

477 :  0:{1,2,3,5,6}:{(1,1),(5,1),(17,1),(28,1),(66,1),(70,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(23,1),(40,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1),(51,1),(70,1)}
       3:{1,2,4,5}:{(1,1),(5,1),(13,1)}
       4:{2,3,4,6}:{(2,1),(9,1),(10,1),(23,1),(41,1),(64,1)}
       5:{1,3,5}:{(2,1),(3,1),(10,1)}
       6:{1,2,4,5,6}:{(3,1),(11,1),(23,1),(39,1),(59,1),(63,1)}
       7:{1,3,4,5}:{(5,1),(13,1),(14,1)}
       8:{1,2,3,6}:{(12,1),(15,1),(55,1)}
       9:{1,3,4,6}:{(4,1),(15,1),(16,1),(31,1),(33,1),(55,1)}
      10:{2,3,5}:{(4,1),(5,1),(13,1),(16,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(14,1),(17,1),(70,1)}
      12:{1,2,3,5}:{(8,1),(21,1),(24,1),(44,1)}
      13:{2,4,5}:{(7,1),(10,1),(22,1),(23,1)}
      14:{1,3,4,6}:{(7,1),(11,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(21,1),(24,1)}
      16:{1,3,5}:{(9,1),(10,1),(22,1),(24,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(23,1),(25,1),(59,1),(64,1)}
      18:{1,2,3,5,6}:{(12,1),(26,1),(34,1),(49,1),(55,1),(68,1)}
      19:{1,3,4,5,6}:{(14,1),(27,1),(48,1),(69,1)}
      20:{2,3,4,5}:{(13,1),(29,1),(30,1),(53,1),(67,1)}
      21:{1,2,4}:{(12,1),(31,1)}
      22:{1,4,5}:{(13,1),(16,1),(33,1)}
      23:{2,4,6}:{(13,1),(14,1),(17,1),(33,1)}
      24:{1,2,5}:{(15,1),(16,1)}
      25:{1,3,5,6}:{(16,1),(17,1),(33,1),(34,1),(55,1)}
      26:{1,2,4,6}:{(18,1),(21,1),(37,1),(38,1),(73,1)}
      27:{2,4,5,6}:{(19,1),(23,1),(36,1),(39,1),(59,1),(73,1)}
      28:{1,2,3,5}:{(35,1),(40,1),(57,1),(62,1)}
      29:{1,3,4,5}:{(20,1),(22,1),(42,1),(43,1),(44,1),(62,1),(71,1)}
      30:{2,3,4,6}:{(20,1),(23,1),(36,1),(43,1),(64,1),(73,1)}
      31:{1,3,4}:{(21,1),(41,1),(44,1)}
      32:{1,2,4,5}:{(21,1),(22,1),(24,1),(42,1),(44,1),(45,1)}
      33:{1,4,6}:{(22,1),(23,1),(25,1)}
      34:{1,2,5,6}:{(24,1),(25,1),(45,1),(59,1)}
      35:{1,2,3,6}:{(28,1),(46,1),(70,1)}
      36:{2,3,5,6}:{(27,1),(30,1),(48,1)}
      37:{1,3,4,6}:{(26,1),(31,1),(47,1),(49,1),(55,1)}
      38:{1,2,4,5}:{(26,1),(49,1),(67,1)}
      39:{1,4,5,6}:{(27,1),(33,1),(48,1),(74,1)}
      40:{1,2,4}:{(28,1),(51,1)}
      41:{2,3,4}:{(31,1),(51,1),(53,1)}
      42:{2,4,5}:{(29,1),(53,1),(54,1)}
      43:{1,3,4,6}:{(29,1),(30,1),(33,1),(48,1),(54,1),(55,1),(70,1),(74,1)}
      44:{1,3,5}:{(31,1),(32,1),(53,1),(55,1)}
      45:{1,2,4,6}:{(32,1),(33,1),(34,1),(54,1),(55,1)}
      46:{1,2,4,6}:{(35,1),(40,1),(56,1),(57,1)}
      47:{2,3,4,6}:{(37,1),(41,1),(56,1),(58,1),(64,1),(73,1)}
      48:{1,3,5,6}:{(36,1),(39,1),(43,1),(59,1)}
      49:{1,3,5}:{(37,1),(38,1),(58,1)}
      50:{1,2,4,5,6}:{(38,1),(39,1),(45,1),(59,1),(61,1),(73,1)}
      51:{1,3,4}:{(40,1),(41,1),(62,1)}
      52:{1,2,4,5}:{(40,1),(42,1),(57,1),(62,1),(63,1),(71,1)}
      53:{2,3,5}:{(41,1),(42,1),(44,1),(62,1),(64,1)}
      54:{2,4,6}:{(42,1),(43,1),(59,1),(64,1)}
      55:{1,3,6}:{(44,1),(45,1),(64,1)}
      56:{1,3,4,6}:{(46,1),(47,1),(51,1),(65,1),(70,1),(74,1)}
      57:{1,2,5}:{(46,1),(65,1)}
      58:{2,3,5}:{(47,1),(49,1),(65,1),(67,1)}
      59:{2,5,6}:{(48,1),(54,1)}
      60:{1,3,4,5}:{(49,1),(67,1),(69,1)}
      61:{1,3,5,6}:{(49,1),(50,1),(55,1),(68,1),(69,1)}
      62:{1,3,5}:{(51,1),(52,1),(53,1),(70,1)}
      63:{1,2,4,6}:{(52,1),(54,1),(66,1),(70,1),(74,1)}
      64:{2,3,6}:{(53,1),(54,1),(55,1),(70,1)}
      65:{1,3,5}:{(56,1),(57,1),(58,1),(71,1)}
      66:{1,2,5,6}:{(57,1),(59,1),(63,1),(72,1)}
      67:{2,4,5}:{(58,1),(60,1),(71,1),(73,1)}
      68:{2,3,5,6}:{(58,1),(59,1),(61,1),(64,1),(72,1),(73,1)}
      69:{1,3,4,6}:{(60,1),(61,1),(73,1)}
      70:{1,3,6}:{(62,1),(63,1),(64,1)}
      71:{1,4,5}:{(65,1),(67,1),(74,1)}
      72:{1,3,5,6}:{(65,1),(66,1),(68,1),(70,1),(74,1)}
      73:{2,4,6}:{(67,1),(68,1),(69,1),(74,1)}
      74:{1,4,6}:{(71,1),(72,1),(73,1)}

478 :  0:{1,2,4,6}:{(2,1),(3,1),(4,1),(16,1)}
       1:{1,3,4,6}:{(2,1),(4,1),(5,1),(13,1),(16,1),(27,1),(30,1)}
       2:{1,3,6}:{(0,1),(7,1),(8,1),(40,1)}
       3:{1,2,5}:{(0,1),(8,1),(10,1),(44,1)}
       4:{2,4,6}:{(1,1),(7,1),(9,1),(10,1),(23,1)}
       5:{1,3,5}:{(1,1),(10,1),(11,1),(25,1)}
       6:{1,3,5,6}:{(5,1),(12,1),(13,1),(27,1)}
       7:{2,3,6}:{(2,1),(4,1),(14,1),(15,1),(27,1),(36,1)}
       8:{1,3,5}:{(2,1),(3,1),(15,1),(16,1),(39,1),(43,1)}
       9:{1,4,6}:{(4,1),(14,1),(17,1),(29,1)}
      10:{2,5}:{(4,1),(5,1),(17,1)}
      11:{1,4,5}:{(5,1),(13,1),(16,1),(18,1),(39,1)}
      12:{2,5,6}:{(6,1),(10,1),(19,1),(20,1)}
      13:{1,4,6}:{(6,1),(11,1),(20,1),(40,1)}
      14:{1,3,6}:{(7,1),(9,1),(21,1),(22,1)}
      15:{2,3,5}:{(7,1),(8,1),(10,1),(22,1),(23,1),(25,1),(35,1),(41,1)}
      16:{1,4}:{(8,1),(23,1)}
      17:{1,5}:{(9,1),(10,1)}
      18:{2,4,5}:{(10,1),(11,1),(20,1),(23,1),(24,1),(25,1),(35,1)}
      19:{1,5,6}:{(12,1),(17,1),(26,1)}
      20:{2,4,6}:{(12,1),(13,1),(18,1),(26,1),(27,1),(36,1)}
      21:{1,2,6}:{(14,1),(28,1),(36,1)}
      22:{1,3,5}:{(14,1),(15,1),(17,1),(28,1),(29,1),(37,1)}
      23:{2,4}:{(15,1),(16,1),(29,1),(30,1)}
      24:{1,4,5}:{(17,1),(18,1),(26,1),(29,1),(31,1)}
      25:{3,5}:{(18,1),(27,1),(30,1)}
      26:{1,4,6}:{(19,1),(20,1),(24,1),(32,1)}
      27:{3,6}:{(20,1),(25,1)}
      28:{1,2,5}:{(21,1),(22,1),(33,1),(35,1)}
      29:{1,4}:{(22,1),(23,1)}
      30:{3,4}:{(23,1),(25,1)}
      31:{1,3,5}:{(24,1),(25,1),(32,1),(34,1),(35,1)}
      32:{1,3,6}:{(26,1),(27,1),(31,1),(36,1)}
      33:{1,2,4}:{(28,1),(29,1),(37,1),(38,1)}
      34:{1,3,4}:{(29,1),(30,1),(31,1),(37,1),(38,1)}
      35:{2,5}:{(31,1),(36,1),(38,1),(39,1)}
      36:{2,6}:{(32,1),(35,1),(40,1)}
      37:{1,3}:{(33,1),(41,1)}
      38:{2,4}:{(34,1),(35,1),(41,1),(42,1)}
      39:{1,5}:{(35,1),(40,1),(42,1)}
      40:{1,6}:{(36,1),(39,1)}
      41:{2,3}:{(37,1),(38,1),(43,1)}
      42:{1,4}:{(38,1),(39,1),(43,1)}
      43:{1,3}:{(41,1),(42,1),(44,1)}
      44:{1,2}:{(43,1)}

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

480 :  0:{1,2,4,6}:{(1,1),(2,1),(9,1),(12,1)}
       1:{1,3,6}:{(0,1),(4,1),(6,1),(44,1)}
       2:{1,2,5}:{(0,1),(6,1),(16,1),(41,1)}
       3:{1,2,6}:{(7,1),(8,1),(42,1)}
       4:{2,3,6}:{(1,1),(7,1),(9,1),(10,1),(37,1),(42,1)}
       5:{1,3,4,6}:{(1,1),(9,1),(11,1),(12,1),(25,1),(26,1),(37,1)}
       6:{1,3,5}:{(1,1),(2,1),(10,1),(12,1),(36,1),(43,1)}
       7:{1,3,6}:{(3,1),(4,1),(13,1),(14,1)}
       8:{1,2,5}:{(3,1),(14,1),(15,1),(39,1)}
       9:{2,4,6}:{(4,1),(5,1),(13,1),(16,1),(17,1)}
      10:{2,3,5}:{(4,1),(6,1),(14,1),(16,1),(17,1),(30,1),(32,1),(39,1)}
      11:{1,3,5}:{(5,1),(16,1),(19,1),(32,1)}
      12:{1,4}:{(6,1),(17,1)}
      13:{1,4,6}:{(7,1),(9,1),(20,1),(21,1)}
      14:{1,3,5}:{(7,1),(8,1),(10,1),(20,1),(21,1),(22,1)}
      15:{1,2,4}:{(8,1),(21,1),(22,1),(35,1)}
      16:{2,5}:{(9,1),(11,1),(20,1)}
      17:{2,4}:{(10,1),(12,1),(21,1),(25,1)}
      18:{1,3,5,6}:{(11,1),(23,1),(26,1),(37,1)}
      19:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(43,1)}
      20:{1,5}:{(13,1),(16,1)}
      21:{1,4}:{(14,1),(17,1)}
      22:{1,3}:{(15,1),(30,1)}
      23:{2,5,6}:{(16,1),(18,1),(27,1),(31,1)}
      24:{2,4,5}:{(16,1),(17,1),(19,1),(28,1),(31,1),(32,1),(39,1)}
      25:{3,4}:{(17,1),(32,1)}
      26:{1,4,6}:{(18,1),(19,1),(31,1),(44,1)}
      27:{1,5,6}:{(20,1),(23,1),(33,1)}
      28:{1,4,5}:{(20,1),(21,1),(24,1),(33,1),(34,1)}
      29:{1,3,4}:{(21,1),(22,1),(25,1),(34,1),(35,1)}
      30:{2,3}:{(22,1),(35,1),(36,1)}
      31:{2,4,6}:{(23,1),(24,1),(26,1),(33,1),(37,1),(42,1)}
      32:{3,5}:{(24,1),(25,1),(37,1)}
      33:{1,4,6}:{(27,1),(28,1),(31,1),(38,1)}
      34:{1,3,5}:{(28,1),(29,1),(32,1),(38,1),(39,1)}
      35:{2,4}:{(29,1),(30,1),(39,1),(40,1)}
      36:{1,3}:{(30,1),(40,1),(41,1)}
      37:{3,6}:{(31,1),(32,1)}
      38:{1,3,6}:{(33,1),(34,1),(37,1),(42,1)}
      39:{2,5}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4}:{(35,1),(36,1),(43,1)}
      41:{1,2}:{(36,1)}
      42:{2,6}:{(38,1),(39,1),(44,1)}
      43:{1,5}:{(39,1),(40,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

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

482 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(43,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(25,1),(38,1)}
       2:{1,3,4,5}:{(0,1),(5,1),(6,1),(13,1),(40,1),(41,1)}
       3:{3,4,5,6}:{(8,1),(42,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(20,1),(34,1),(36,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,5}:{(6,1),(12,1),(13,1),(26,1),(39,1),(40,1)}
       8:{2,4,5,6}:{(3,1),(4,1),(14,1),(38,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(29,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{2,3,5}:{(6,1),(13,1),(16,1),(17,1)}
      12:{1,2,4,6}:{(7,1),(10,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,3,5}:{(7,1),(11,1),(18,1),(20,1),(21,1)}
      14:{1,4,5,6}:{(8,1),(9,1),(22,1),(34,1)}
      15:{2,5,6}:{(9,1),(10,1)}
      16:{2,3,6}:{(10,1),(11,1),(20,1)}
      17:{2,3,4}:{(11,1),(21,1)}
      18:{2,3,5}:{(13,1),(25,1),(26,1),(39,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(27,1),(39,1)}
      20:{1,3,6}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,3,4}:{(13,1),(17,1),(26,1)}
      22:{2,4,5,6}:{(14,1),(15,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(27,1),(29,1),(30,1),(31,1)}
      24:{2,3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1)}
      25:{2,3,6}:{(18,1),(20,1),(33,1)}
      26:{2,4}:{(18,1),(21,1)}
      27:{1,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1)}
      28:{1,3,4,6}:{(20,1),(21,1),(24,1),(33,1),(34,1),(35,1),(42,1)}
      29:{3,5,6}:{(22,1),(36,1)}
      30:{2,4,6}:{(23,1),(34,1),(36,1),(37,1)}
      31:{2,3,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(38,1),(39,1),(44,1)}
      33:{2,4,6}:{(25,1),(26,1),(28,1),(39,1)}
      34:{1,4,6}:{(27,1),(30,1),(38,1),(40,1)}
      35:{1,3,5}:{(28,1),(31,1),(39,1),(40,1),(44,1)}
      36:{3,4,6}:{(29,1),(30,1),(41,1)}
      37:{2,4,5}:{(30,1),(31,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(34,1),(42,1),(43,1)}
      39:{2,5}:{(33,1),(35,1)}
      40:{1,4,5}:{(34,1),(35,1),(37,1),(43,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{3,4,6}:{(38,1),(44,1)}
      43:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

483 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

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

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

486 :  0:{1,3,4,5,6}:{(1,1),(6,1),(16,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(10,1),(22,1)}
       2:{2,3,5,6}:{(1,1),(5,1),(6,1)}
       3:{1,4,5,6}:{(1,1),(6,1),(28,1)}
       4:{2,3,4,5}:{(5,1),(8,1),(29,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(4,1),(9,1),(22,1),(32,1)}
       6:{1,3,5,6}:{(2,1),(3,1),(9,1),(10,1)}
       7:{1,2,4,5,6}:{(3,1),(10,1),(11,1),(19,1),(22,1),(35,1),(39,1)}
       8:{1,3,4,5}:{(4,1),(9,1),(12,1),(24,1),(35,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(8,1),(13,1),(26,1),(28,1)}
      10:{2,5,6}:{(6,1),(13,1)}
      11:{1,3,5,6}:{(7,1),(15,1),(16,1),(26,1),(38,1)}
      12:{2,4,5}:{(8,1),(13,1),(18,1)}
      13:{2,4,6}:{(9,1),(10,1),(12,1),(20,1)}
      14:{1,2,5,6}:{(10,1),(19,1),(21,1),(39,1)}
      15:{2,3,5,6}:{(10,1),(11,1),(20,1),(21,1),(22,1),(32,1),(34,1),(39,1)}
      16:{1,3,4,6}:{(11,1),(22,1),(23,1)}
      17:{1,2,4,5}:{(12,1),(19,1),(24,1),(35,1),(36,1),(39,1)}
      18:{2,3,5}:{(12,1),(20,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(17,1),(26,1),(28,1),(37,1)}
      20:{2,3,6}:{(13,1),(18,1),(26,1)}
      21:{1,3,5,6}:{(14,1),(15,1),(26,1),(28,1),(38,1)}
      22:{2,4,6}:{(15,1),(16,1),(28,1),(29,1)}
      23:{1,3,4,5}:{(16,1),(29,1),(38,1)}
      24:{1,3,5}:{(17,1),(18,1),(26,1),(30,1),(31,1)}
      25:{2,3,4}:{(18,1),(31,1)}
      26:{1,3,6}:{(19,1),(20,1),(24,1),(32,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(25,1),(33,1),(34,1)}
      28:{1,4,6}:{(21,1),(22,1),(35,1)}
      29:{2,4,5}:{(22,1),(23,1),(34,1),(35,1),(39,1)}
      30:{2,3,5}:{(24,1),(32,1),(36,1),(39,1)}
      31:{1,3,4}:{(24,1),(25,1),(36,1)}
      32:{2,3,6}:{(26,1),(30,1),(37,1)}
      33:{1,3,4,6}:{(26,1),(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{2,3,5}:{(27,1),(29,1),(38,1)}
      35:{1,4,5}:{(28,1),(29,1),(38,1)}
      36:{2,4}:{(30,1),(31,1)}
      37:{2,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{1,3,5}:{(33,1),(34,1),(35,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

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

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

489 :  0:{1,2,3,6}:{(1,1),(2,1),(34,1),(50,1)}
       1:{1,2,3,5}:{(0,1),(5,1),(6,1),(21,1)}
       2:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(64,1),(79,1)}
       3:{1,2,3,6}:{(7,1),(8,1),(31,1),(53,1)}
       4:{1,3,4,6}:{(2,1),(9,1),(10,1),(11,1),(30,1),(34,1),(51,1),(75,1)}
       5:{1,2,4}:{(1,1),(11,1)}
       6:{1,2,5}:{(2,1),(10,1)}
       7:{1,2,3,5}:{(3,1),(15,1),(16,1),(38,1)}
       8:{1,2,4,6}:{(3,1),(14,1),(15,1),(16,1),(45,1),(70,1)}
       9:{2,3,4,6}:{(4,1),(14,1),(17,1),(20,1),(37,1),(41,1),(47,1),(66,1)}
      10:{1,3,5}:{(4,1),(6,1),(17,1),(18,1)}
      11:{1,3,4}:{(5,1),(20,1),(21,1)}
      12:{1,2,4,5}:{(5,1),(6,1),(18,1),(21,1),(22,1),(43,1)}
      13:{1,2,5,6}:{(6,1),(19,1),(22,1),(68,1),(79,1)}
      14:{1,3,4,6}:{(8,1),(9,1),(23,1),(24,1),(32,1),(49,1),(53,1),(60,1)}
      15:{1,2,4}:{(7,1),(24,1)}
      16:{1,2,5}:{(8,1),(23,1)}
      17:{2,3,5}:{(9,1),(10,1),(23,1),(27,1)}
      18:{1,4,5}:{(10,1),(27,1),(30,1)}
      19:{1,3,5,6}:{(10,1),(13,1),(28,1),(30,1),(34,1),(75,1),(80,1)}
      20:{2,3,4}:{(11,1),(32,1),(33,1)}
      21:{1,3,5}:{(11,1),(12,1),(33,1),(34,1)}
      22:{1,2,4,6}:{(12,1),(13,1),(30,1),(34,1),(58,1)}
      23:{1,3,5}:{(14,1),(16,1),(17,1),(35,1)}
      24:{1,3,4}:{(15,1),(37,1),(38,1)}
      25:{1,2,4,5}:{(15,1),(16,1),(35,1),(38,1),(39,1),(62,1)}
      26:{1,2,5,6}:{(16,1),(36,1),(39,1),(70,1),(77,1)}
      27:{2,4,5}:{(17,1),(18,1),(35,1),(40,1),(41,1)}
      28:{2,3,5,6}:{(17,1),(19,1),(36,1),(41,1),(47,1),(66,1),(67,1),(68,1),(77,1)}
      29:{1,3,4,5}:{(18,1),(21,1),(40,1),(43,1),(44,1)}
      30:{1,4,6}:{(18,1),(19,1),(41,1)}
      31:{1,2,3}:{(45,1)}
      32:{1,3,4}:{(20,1),(45,1),(46,1)}
      33:{2,3,5}:{(20,1),(21,1),(43,1),(46,1),(47,1)}
      34:{1,3,6}:{(21,1),(22,1),(47,1)}
      35:{1,4,5}:{(23,1),(27,1),(49,1)}
      36:{1,3,5,6}:{(23,1),(26,1),(28,1),(49,1),(53,1),(60,1),(76,1)}
      37:{2,3,4}:{(24,1),(51,1),(52,1)}
      38:{1,3,5}:{(24,1),(25,1),(52,1),(53,1)}
      39:{1,2,4,6}:{(25,1),(26,1),(49,1),(53,1),(73,1)}
      40:{3,4,5}:{(27,1),(55,1)}
      41:{2,4,6}:{(27,1),(28,1),(30,1),(49,1),(55,1)}
      42:{1,4,5,6}:{(30,1),(54,1),(56,1),(80,1)}
      43:{2,4,5}:{(29,1),(33,1),(57,1),(58,1)}
      44:{1,3,4,6}:{(29,1),(30,1),(34,1),(55,1),(56,1),(58,1)}
      45:{1,2,4}:{(31,1),(32,1),(59,1)}
      46:{1,3,5}:{(32,1),(33,1),(57,1),(59,1),(60,1)}
      47:{2,3,6}:{(33,1),(34,1),(58,1),(60,1)}
      48:{1,3,4,5}:{(35,1),(38,1),(40,1),(62,1),(63,1)}
      49:{1,4,6}:{(35,1),(36,1),(41,1)}
      50:{1,2,3}:{(64,1)}
      51:{1,3,4}:{(37,1),(64,1),(65,1)}
      52:{2,3,5}:{(37,1),(38,1),(62,1),(65,1),(66,1)}
      53:{1,3,6}:{(38,1),(39,1),(66,1)}
      54:{2,4,5,6}:{(41,1),(42,1),(61,1),(67,1),(68,1),(77,1)}
      55:{3,4,6}:{(40,1),(41,1),(67,1)}
      56:{1,3,5,6}:{(42,1),(44,1),(67,1),(68,1)}
      57:{1,4,5}:{(43,1),(46,1),(69,1)}
      58:{2,4,6}:{(43,1),(44,1),(47,1),(68,1),(69,1)}
      59:{1,2,5}:{(45,1),(46,1),(70,1)}
      60:{1,3,6}:{(46,1),(47,1),(69,1),(70,1)}
      61:{1,4,5,6}:{(49,1),(54,1),(71,1),(76,1)}
      62:{2,4,5}:{(48,1),(52,1),(72,1),(73,1)}
      63:{1,3,4,6}:{(48,1),(49,1),(53,1),(55,1),(71,1),(73,1)}
      64:{1,2,4}:{(50,1),(51,1),(74,1)}
      65:{1,3,5}:{(51,1),(52,1),(72,1),(74,1),(75,1)}
      66:{2,3,6}:{(52,1),(53,1),(73,1),(75,1)}
      67:{3,5,6}:{(54,1),(55,1)}
      68:{2,5,6}:{(56,1),(58,1),(76,1)}
      69:{1,4,6}:{(57,1),(58,1),(60,1),(76,1)}
      70:{1,2,6}:{(59,1),(60,1)}
      71:{1,3,5,6}:{(61,1),(63,1),(67,1),(77,1)}
      72:{1,4,5}:{(62,1),(65,1),(78,1)}
      73:{2,4,6}:{(62,1),(63,1),(66,1),(77,1),(78,1)}
      74:{1,2,5}:{(64,1),(65,1),(79,1)}
      75:{1,3,6}:{(65,1),(66,1),(78,1),(79,1)}
      76:{1,5,6}:{(68,1),(69,1)}
      77:{2,5,6}:{(71,1),(73,1),(80,1)}
      78:{1,4,6}:{(72,1),(73,1),(75,1),(80,1)}
      79:{1,2,6}:{(74,1),(75,1)}
      80:{1,5,6}:{(77,1),(78,1)}

490 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1)}
       2:{1,2,3}:{(5,1)}
       3:{1,3,4}:{(1,1),(6,1),(7,1)}
       4:{1,2,5}:{(1,1),(7,1),(8,1)}
       5:{1,2,4}:{(2,1),(9,1),(10,1)}
       6:{2,3,4}:{(3,1),(9,1),(11,1)}
       7:{1,3,5}:{(3,1),(4,1),(11,1),(12,1),(13,1)}
       8:{1,2,6}:{(4,1),(13,1)}
       9:{1,3,4}:{(5,1),(6,1),(14,1)}
      10:{1,2,5}:{(5,1),(14,1),(15,1)}
      11:{2,3,5}:{(6,1),(7,1),(14,1),(16,1),(17,1)}
      12:{1,4,5}:{(7,1),(16,1),(18,1)}
      13:{1,3,6}:{(7,1),(8,1),(17,1),(18,1)}
      14:{1,3,5}:{(9,1),(10,1),(11,1),(19,1),(20,1)}
      15:{1,2,6}:{(10,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(19,1),(21,1),(22,1)}
      17:{2,3,6}:{(11,1),(13,1),(20,1),(22,1)}
      18:{1,4,6}:{(12,1),(13,1),(22,1),(23,1)}
      19:{1,4,5}:{(14,1),(16,1),(24,1)}
      20:{1,3,6}:{(14,1),(15,1),(17,1),(24,1)}
      21:{3,4,5}:{(16,1),(25,1)}
      22:{2,4,6}:{(16,1),(17,1),(18,1),(24,1),(25,1),(26,1)}
      23:{1,5,6}:{(18,1),(26,1)}
      24:{1,4,6}:{(19,1),(20,1),(22,1),(27,1)}
      25:{3,4,6}:{(21,1),(22,1),(28,1)}
      26:{2,5,6}:{(22,1),(23,1),(27,1),(28,1)}
      27:{1,5,6}:{(24,1),(26,1)}
      28:{3,5,6}:{(25,1),(26,1),(29,1)}
      29:{4,5,6}:{(28,1)}

491 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(42,1)}
       1:{1,3,4,5}:{(0,1),(3,1),(4,1),(11,1),(40,1),(41,1)}
       2:{2,3,4,6}:{(0,1),(4,1),(5,1),(26,1),(39,1)}
       3:{2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,3,4,6}:{(1,1),(2,1),(8,1),(9,1),(20,1),(35,1),(37,1)}
       5:{2,3,5,6}:{(2,1),(9,1),(10,1)}
       6:{1,2,4,5}:{(3,1),(11,1),(12,1),(25,1),(38,1),(40,1)}
       7:{2,3,5}:{(3,1),(11,1),(13,1),(14,1)}
       8:{2,4,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(15,1),(16,1),(31,1)}
      10:{2,4,5,6}:{(5,1),(16,1),(17,1),(39,1)}
      11:{1,3,5}:{(6,1),(7,1),(18,1),(19,1),(20,1)}
      12:{1,2,4,6}:{(6,1),(8,1),(20,1),(21,1),(32,1),(35,1)}
      13:{2,3,4}:{(7,1),(19,1)}
      14:{2,3,6}:{(7,1),(8,1),(20,1)}
      15:{2,5,6}:{(8,1),(9,1)}
      16:{1,4,5,6}:{(9,1),(10,1),(24,1),(35,1)}
      17:{3,4,5,6}:{(10,1),(43,1)}
      18:{2,3,5}:{(11,1),(25,1),(26,1),(38,1)}
      19:{1,3,4}:{(11,1),(13,1),(25,1)}
      20:{1,3,6}:{(11,1),(12,1),(14,1),(26,1)}
      21:{1,2,5,6}:{(12,1),(15,1),(28,1),(38,1)}
      22:{2,3,4,6}:{(13,1),(14,1),(27,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(14,1),(15,1),(28,1),(29,1),(30,1),(31,1)}
      24:{2,4,5,6}:{(15,1),(16,1),(30,1),(31,1)}
      25:{2,4}:{(18,1),(19,1)}
      26:{2,3,6}:{(18,1),(20,1),(32,1)}
      27:{1,3,4,6}:{(19,1),(20,1),(22,1),(32,1),(34,1),(35,1),(43,1)}
      28:{1,3,5,6}:{(20,1),(21,1),(23,1),(33,1),(34,1),(35,1)}
      29:{2,3,5}:{(22,1),(34,1),(36,1)}
      30:{2,4,6}:{(23,1),(35,1),(36,1),(37,1)}
      31:{3,5,6}:{(24,1),(37,1)}
      32:{2,4,6}:{(25,1),(26,1),(27,1),(38,1)}
      33:{2,3,5,6}:{(26,1),(28,1),(38,1),(39,1),(44,1)}
      34:{1,3,5}:{(27,1),(29,1),(38,1),(40,1),(44,1)}
      35:{1,4,6}:{(28,1),(30,1),(39,1),(40,1)}
      36:{2,4,5}:{(29,1),(30,1),(40,1),(41,1)}
      37:{3,4,6}:{(30,1),(31,1),(41,1)}
      38:{2,5}:{(32,1),(34,1)}
      39:{2,4,6}:{(33,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(34,1),(35,1),(36,1),(42,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      43:{3,4,6}:{(39,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

492 :  0:{1,3,4,6}:{(2,1),(3,1),(5,1),(12,1),(17,1),(25,1),(26,1),(33,1)}
       1:{1,3,5,6}:{(3,1),(4,1),(5,1),(17,1)}
       2:{2,4,6}:{(0,1),(6,1),(7,1),(8,1),(18,1),(20,1),(29,1)}
       3:{1,3,5}:{(0,1),(8,1),(9,1),(22,1)}
       4:{2,5,6}:{(1,1),(8,1),(10,1),(11,1)}
       5:{1,4,6}:{(1,1),(9,1),(11,1),(32,1)}
       6:{2,3,6}:{(2,1),(12,1),(13,1),(17,1),(28,1),(33,1)}
       7:{1,4,6}:{(2,1),(12,1),(14,1),(25,1)}
       8:{2,5}:{(2,1),(3,1),(14,1)}
       9:{1,4,5}:{(3,1),(5,1),(15,1),(25,1),(35,1)}
      10:{1,5,6}:{(4,1),(14,1),(16,1)}
      11:{2,4,6}:{(4,1),(5,1),(15,1),(16,1),(17,1),(28,1)}
      12:{1,3,6}:{(6,1),(7,1),(18,1),(19,1),(32,1)}
      13:{2,3,5}:{(6,1),(8,1),(19,1),(20,1),(22,1),(31,1),(36,1)}
      14:{1,5}:{(7,1),(8,1)}
      15:{2,4,5}:{(8,1),(9,1),(11,1),(20,1),(21,1),(22,1),(29,1),(31,1)}
      16:{1,4,6}:{(10,1),(11,1),(21,1),(23,1)}
      17:{3,6}:{(11,1),(22,1)}
      18:{2,6}:{(12,1),(24,1)}
      19:{1,3,5}:{(12,1),(13,1),(14,1),(24,1),(25,1),(33,1),(35,1),(38,1)}
      20:{2,4}:{(13,1),(25,1),(26,1)}
      21:{1,4,5}:{(14,1),(15,1),(16,1),(25,1),(27,1)}
      22:{3,5}:{(15,1),(17,1),(26,1),(33,1)}
      23:{1,3,6}:{(16,1),(17,1),(27,1),(28,1)}
      24:{2,5}:{(18,1),(19,1),(29,1),(39,1)}
      25:{1,4}:{(19,1),(20,1),(29,1)}
      26:{3,4}:{(20,1),(22,1)}
      27:{1,3,5}:{(21,1),(22,1),(23,1),(30,1),(31,1)}
      28:{2,6}:{(23,1),(31,1),(32,1)}
      29:{2,4}:{(24,1),(25,1),(33,1)}
      30:{1,3,4}:{(25,1),(26,1),(27,1),(33,1),(34,1),(38,1)}
      31:{2,5}:{(27,1),(28,1),(34,1),(35,1)}
      32:{1,6}:{(28,1),(35,1)}
      33:{3}:{(29,1)}
      34:{2,4}:{(30,1),(31,1),(36,1),(37,1),(39,1)}
      35:{1,5}:{(31,1),(32,1),(37,1)}
      36:{2,3}:{(33,1),(34,1),(38,1)}
      37:{1,4}:{(34,1),(35,1),(38,1)}
      38:{1,3}:{(36,1),(37,1),(39,1)}
      39:{2}:{(38,1)}

493 :  0:{1,3,4,5,6}:{(1,1),(5,1),(15,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(9,1),(20,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,4,5,6}:{(1,1),(5,1),(26,1)}
       4:{2,3,4,6}:{(2,1),(7,1),(8,1),(20,1),(30,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,4,5,6}:{(3,1),(9,1),(10,1),(17,1),(20,1),(33,1),(39,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(27,1),(34,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(11,1),(12,1),(24,1),(26,1)}
       9:{2,5,6}:{(5,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(14,1),(15,1),(24,1),(37,1)}
      11:{1,3,4,5}:{(7,1),(8,1),(16,1),(28,1),(33,1)}
      12:{2,4,6}:{(8,1),(9,1),(16,1),(18,1)}
      13:{1,2,5,6}:{(9,1),(17,1),(19,1),(39,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(18,1),(19,1),(20,1),(30,1),(32,1),(39,1)}
      15:{1,3,4,6}:{(10,1),(20,1),(21,1)}
      16:{2,4,5}:{(11,1),(12,1),(23,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(22,1),(24,1),(26,1),(36,1)}
      18:{2,3,6}:{(12,1),(23,1),(24,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(24,1),(26,1),(37,1)}
      20:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(37,1)}
      22:{1,2,4,5}:{(16,1),(17,1),(28,1),(33,1),(38,1),(39,1)}
      23:{2,3,5}:{(16,1),(18,1),(28,1),(29,1)}
      24:{1,3,6}:{(17,1),(18,1),(28,1),(30,1)}
      25:{2,3,4,6}:{(18,1),(20,1),(29,1),(31,1),(32,1)}
      26:{1,4,6}:{(19,1),(20,1),(33,1)}
      27:{2,4,5}:{(20,1),(21,1),(32,1),(33,1),(39,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(34,1),(35,1)}
      29:{2,3,4}:{(23,1),(35,1)}
      30:{2,3,6}:{(24,1),(34,1),(36,1)}
      31:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(36,1),(37,1)}
      32:{2,3,5}:{(25,1),(27,1),(37,1)}
      33:{1,4,5}:{(26,1),(27,1),(37,1)}
      34:{2,3,5}:{(28,1),(30,1),(38,1),(39,1)}
      35:{1,3,4}:{(28,1),(29,1),(38,1)}
      36:{2,4,6}:{(30,1),(31,1),(38,1),(39,1)}
      37:{1,3,5}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,4}:{(34,1),(35,1)}
      39:{2,5}:{(36,1),(37,1)}

494 :  0:{2,3,5,6}:{(1,1),(2,1),(8,1),(16,1),(17,1)}
       1:{1,3,5,6}:{(0,1),(4,1),(5,1),(12,1),(13,1),(21,1),(22,1)}
       2:{2,4,6}:{(0,1),(3,1),(5,1),(6,1)}
       3:{2,4,5}:{(2,1),(7,1),(8,1),(16,1),(28,1)}
       4:{2,5,6}:{(1,1),(9,1),(16,1),(25,1)}
       5:{1,4,6}:{(1,1),(2,1),(7,1),(9,1)}
       6:{3,4,6}:{(2,1),(8,1)}
       7:{1,4,5}:{(3,1),(5,1),(11,1),(12,1),(21,1),(26,1)}
       8:{3,5}:{(3,1),(6,1),(29,1)}
       9:{2,4,6}:{(4,1),(5,1),(11,1),(13,1)}
      10:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1),(14,1),(19,1),(22,1),(26,1),(29,1)}
      11:{2,4,5}:{(7,1),(9,1),(15,1),(16,1),(23,1)}
      12:{1,3,5}:{(7,1),(8,1),(10,1),(15,1),(16,1)}
      13:{3,6}:{(9,1),(15,1)}
      14:{2,4,6}:{(10,1),(16,1),(17,1),(18,1),(23,1),(25,1),(28,1)}
      15:{3,5}:{(11,1),(13,1),(19,1)}
      16:{2,5}:{(12,1),(14,1),(21,1)}
      17:{2,3,6}:{(13,1),(14,1),(20,1),(22,1),(29,1)}
      18:{1,4,6}:{(14,1),(21,1),(22,1),(26,1)}
      19:{3,4}:{(15,1),(23,1)}
      20:{2,3,5}:{(15,1),(16,1),(17,1),(23,1),(24,1)}
      21:{1,5}:{(16,1),(18,1)}
      22:{1,3,6}:{(17,1),(18,1),(24,1),(25,1)}
      23:{2,4}:{(19,1),(20,1),(26,1)}
      24:{1,3,5}:{(20,1),(21,1),(22,1),(26,1),(27,1),(29,1)}
      25:{2,6}:{(22,1),(27,1)}
      26:{1,4}:{(23,1),(24,1),(28,1)}
      27:{2,5}:{(24,1),(25,1),(28,1)}
      28:{2,4}:{(26,1),(27,1),(29,1)}
      29:{3}:{(28,1)}

495 :  0:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(54,1),(57,1),(60,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(17,1),(68,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(13,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1),(57,1),(61,1)}
       4:{1,2,4,5,6}:{(2,1),(7,1),(17,1),(31,1),(46,1),(48,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(10,1),(17,1),(49,1),(53,1)}
       7:{1,3,5,6}:{(4,1),(5,1),(11,1),(12,1),(57,1)}
       8:{1,3,4,5}:{(5,1),(11,1),(13,1)}
       9:{2,3,5}:{(5,1),(6,1),(13,1),(14,1)}
      10:{1,3,4,6}:{(6,1),(14,1),(15,1),(25,1),(41,1),(45,1)}
      11:{1,3,4,6}:{(7,1),(8,1),(17,1)}
      12:{2,3,5,6}:{(7,1),(9,1),(17,1),(18,1),(46,1),(49,1)}
      13:{2,4,5}:{(8,1),(9,1),(17,1),(20,1)}
      14:{1,3,5}:{(9,1),(10,1),(20,1),(21,1)}
      15:{1,2,4,6}:{(10,1),(21,1),(22,1),(37,1)}
      16:{1,3,4,5,6}:{(11,1),(23,1),(38,1),(56,1)}
      17:{2,4,6}:{(11,1),(12,1),(13,1),(25,1)}
      18:{1,3,5,6}:{(12,1),(14,1),(25,1),(26,1),(41,1)}
      19:{2,3,4,5}:{(13,1),(24,1),(27,1),(44,1),(70,1)}
      20:{1,4,5}:{(13,1),(14,1),(25,1)}
      21:{1,2,5}:{(14,1),(15,1)}
      22:{1,2,3,6}:{(15,1),(29,1),(41,1)}
      23:{2,4,5,6}:{(16,1),(17,1),(30,1),(31,1),(46,1),(63,1)}
      24:{2,3,4,6}:{(17,1),(19,1),(30,1),(32,1),(49,1),(63,1)}
      25:{1,4,6}:{(17,1),(18,1),(20,1)}
      26:{1,2,5,6}:{(18,1),(21,1),(33,1),(46,1)}
      27:{1,3,4,5}:{(19,1),(20,1),(32,1),(35,1),(36,1),(52,1),(73,1)}
      28:{1,2,4,5}:{(20,1),(21,1),(33,1),(35,1),(36,1),(37,1)}
      29:{1,2,3,5}:{(21,1),(22,1),(36,1),(37,1)}
      30:{2,3,5,6}:{(23,1),(24,1),(38,1)}
      31:{1,4,5,6}:{(23,1),(25,1),(38,1),(69,1)}
      32:{1,3,4,6}:{(24,1),(25,1),(27,1),(38,1),(40,1),(41,1),(57,1),(69,1)}
      33:{1,2,4,6}:{(25,1),(26,1),(28,1),(40,1),(41,1)}
      34:{1,2,3,5,6}:{(26,1),(29,1),(41,1),(42,1),(55,1),(59,1)}
      35:{2,4,5}:{(27,1),(40,1),(44,1)}
      36:{1,3,5}:{(28,1),(41,1),(44,1),(45,1)}
      37:{1,2,4}:{(29,1),(45,1)}
      38:{1,3,5,6}:{(30,1),(31,1),(32,1),(46,1)}
      39:{1,2,4,5,6}:{(31,1),(33,1),(46,1),(47,1),(51,1),(63,1)}
      40:{2,4,6}:{(32,1),(35,1),(46,1),(49,1)}
      41:{1,3,6}:{(33,1),(36,1),(49,1)}
      42:{1,2,4,6}:{(34,1),(37,1),(50,1),(51,1),(63,1)}
      43:{1,2,4,5}:{(35,1),(48,1),(52,1),(68,1),(73,1),(74,1)}
      44:{2,3,5}:{(35,1),(36,1),(49,1),(52,1),(53,1)}
      45:{1,3,4}:{(36,1),(37,1),(53,1)}
      46:{2,5,6}:{(38,1),(40,1)}
      47:{1,3,5,6}:{(39,1),(41,1),(55,1),(56,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(43,1),(54,1),(57,1),(69,1)}
      49:{2,3,6}:{(40,1),(41,1),(44,1),(57,1)}
      50:{1,3,4,6}:{(41,1),(42,1),(45,1),(58,1),(59,1)}
      51:{1,2,4,5}:{(42,1),(59,1),(70,1)}
      52:{1,3,5}:{(43,1),(44,1),(57,1),(61,1)}
      53:{2,3,4}:{(44,1),(45,1),(61,1)}
      54:{1,2,5,6}:{(46,1),(48,1),(62,1),(74,1)}
      55:{2,3,5,6}:{(46,1),(47,1),(49,1),(62,1),(63,1),(67,1)}
      56:{1,3,4,6}:{(47,1),(63,1),(64,1)}
      57:{1,3,6}:{(48,1),(49,1),(52,1)}
      58:{2,3,4,6}:{(49,1),(50,1),(53,1),(63,1),(66,1),(67,1)}
      59:{1,3,5}:{(50,1),(51,1),(67,1)}
      60:{1,2,3,5}:{(52,1),(65,1),(68,1),(74,1)}
      61:{1,3,4}:{(52,1),(53,1),(68,1)}
      62:{1,3,5,6}:{(54,1),(55,1),(57,1),(69,1),(72,1)}
      63:{2,4,6}:{(55,1),(56,1),(69,1),(70,1)}
      64:{1,3,4,5}:{(56,1),(59,1),(70,1)}
      65:{1,2,3,6}:{(57,1),(60,1),(71,1)}
      66:{1,3,4,6}:{(57,1),(58,1),(61,1),(69,1),(71,1),(72,1)}
      67:{2,3,5}:{(58,1),(59,1),(70,1),(72,1)}
      68:{1,2,4}:{(60,1),(61,1)}
      69:{1,4,6}:{(62,1),(63,1),(73,1)}
      70:{2,4,5}:{(63,1),(64,1),(67,1),(73,1)}
      71:{1,2,4,6}:{(65,1),(66,1),(68,1),(74,1)}
      72:{1,3,5}:{(66,1),(67,1),(73,1),(74,1)}
      73:{1,4,5}:{(69,1),(70,1),(72,1)}
      74:{1,2,5}:{(71,1),(72,1)}

496 :  0:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(17,1),(66,1)}
       2:{1,2,4}:{(0,1),(3,1)}
       3:{1,3,4}:{(2,1),(6,1),(8,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(73,1),(80,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(9,1),(10,1),(19,1),(27,1)}
       6:{2,3,4}:{(3,1),(13,1),(15,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(39,1),(67,1),(79,1)}
       8:{1,3,5}:{(3,1),(5,1),(15,1),(17,1)}
       9:{1,2,5}:{(4,1),(16,1)}
      10:{1,2,4,6}:{(5,1),(17,1),(18,1),(30,1),(39,1)}
      11:{1,3,4,5}:{(8,1),(19,1),(20,1),(27,1),(48,1)}
      12:{1,2,3}:{(22,1)}
      13:{1,3,4}:{(6,1),(22,1),(24,1)}
      14:{2,3,4,6}:{(6,1),(7,1),(23,1),(25,1),(26,1),(49,1),(60,1),(75,1)}
      15:{2,3,5}:{(6,1),(8,1),(19,1),(24,1),(26,1)}
      16:{1,3,5}:{(7,1),(9,1),(25,1),(27,1)}
      17:{1,3,6}:{(8,1),(10,1),(26,1)}
      18:{1,2,5,6}:{(9,1),(10,1),(28,1),(41,1),(80,1)}
      19:{2,4,5}:{(11,1),(15,1),(29,1),(30,1)}
      20:{1,3,4,6}:{(11,1),(17,1),(30,1),(31,1),(39,1),(57,1)}
      21:{1,2,3,6}:{(12,1),(32,1),(33,1),(69,1)}
      22:{1,2,4}:{(12,1),(13,1),(34,1)}
      23:{1,3,4,6}:{(13,1),(14,1),(33,1),(35,1),(36,1),(52,1),(56,1),(69,1)}
      24:{1,3,5}:{(13,1),(15,1),(29,1),(34,1),(36,1)}
      25:{2,3,5}:{(14,1),(16,1),(35,1),(37,1)}
      26:{2,3,6}:{(15,1),(17,1),(30,1),(36,1)}
      27:{1,4,5}:{(16,1),(37,1),(39,1)}
      28:{1,3,5,6}:{(16,1),(17,1),(18,1),(38,1),(39,1),(77,1),(79,1)}
      29:{1,4,5}:{(19,1),(24,1),(40,1)}
      30:{2,4,6}:{(19,1),(20,1),(26,1),(40,1),(41,1)}
      31:{1,3,5,6}:{(20,1),(41,1),(42,1),(59,1)}
      32:{1,2,3,5}:{(21,1),(43,1),(44,1),(61,1)}
      33:{1,2,4,6}:{(21,1),(22,1),(23,1),(43,1),(44,1),(45,1)}
      34:{1,2,5}:{(22,1),(24,1),(45,1)}
      35:{1,3,5}:{(23,1),(25,1),(44,1),(46,1)}
      36:{1,3,6}:{(24,1),(26,1),(40,1),(45,1)}
      37:{2,4,5}:{(25,1),(27,1),(46,1),(48,1),(49,1)}
      38:{2,3,5,6}:{(25,1),(26,1),(28,1),(41,1),(47,1),(49,1),(59,1),(72,1),(75,1)}
      39:{1,4,6}:{(27,1),(28,1),(49,1)}
      40:{1,4,6}:{(29,1),(30,1),(36,1),(50,1)}
      41:{2,5,6}:{(30,1),(31,1),(50,1)}
      42:{1,4,5,6}:{(31,1),(39,1),(51,1),(77,1)}
      43:{1,2,4}:{(32,1),(52,1)}
      44:{1,2,5}:{(33,1),(35,1)}
      45:{1,2,6}:{(34,1),(36,1)}
      46:{1,4,5}:{(35,1),(37,1),(56,1)}
      47:{1,3,5,6}:{(35,1),(36,1),(38,1),(50,1),(54,1),(56,1),(69,1)}
      48:{3,4,5}:{(37,1),(57,1)}
      49:{2,4,6}:{(37,1),(38,1),(39,1),(56,1),(57,1)}
      50:{1,5,6}:{(40,1),(41,1)}
      51:{2,4,5,6}:{(41,1),(42,1),(49,1),(58,1),(59,1),(72,1)}
      52:{1,3,4}:{(43,1),(60,1),(61,1)}
      53:{1,2,4,5}:{(43,1),(44,1),(46,1),(61,1),(62,1),(63,1)}
      54:{1,2,5,6}:{(44,1),(45,1),(47,1),(62,1),(72,1)}
      55:{1,3,4,5}:{(46,1),(48,1),(61,1),(63,1),(64,1)}
      56:{1,4,6}:{(46,1),(47,1),(49,1)}
      57:{3,4,6}:{(48,1),(49,1),(59,1)}
      58:{1,4,5,6}:{(50,1),(51,1),(56,1),(65,1)}
      59:{3,5,6}:{(51,1),(57,1)}
      60:{2,3,4}:{(52,1),(67,1),(68,1)}
      61:{1,3,5}:{(52,1),(53,1),(68,1),(69,1)}
      62:{1,2,4,6}:{(53,1),(54,1),(56,1),(69,1),(71,1)}
      63:{2,4,5}:{(55,1),(68,1),(70,1),(71,1)}
      64:{1,3,4,6}:{(55,1),(56,1),(57,1),(65,1),(69,1),(71,1)}
      65:{1,3,5,6}:{(58,1),(59,1),(64,1),(72,1)}
      66:{1,2,3}:{(73,1)}
      67:{1,3,4}:{(60,1),(73,1),(74,1)}
      68:{2,3,5}:{(60,1),(61,1),(63,1),(74,1),(75,1)}
      69:{1,3,6}:{(61,1),(62,1),(75,1)}
      70:{1,4,5}:{(63,1),(74,1),(76,1)}
      71:{2,4,6}:{(63,1),(64,1),(72,1),(75,1),(76,1)}
      72:{2,5,6}:{(65,1),(71,1),(77,1)}
      73:{1,2,4}:{(66,1),(67,1),(78,1)}
      74:{1,3,5}:{(67,1),(68,1),(70,1),(78,1),(79,1)}
      75:{2,3,6}:{(68,1),(69,1),(71,1),(79,1)}
      76:{1,4,6}:{(70,1),(71,1),(77,1),(79,1)}
      77:{1,5,6}:{(72,1),(76,1)}
      78:{1,2,5}:{(73,1),(74,1),(80,1)}
      79:{1,3,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,2,6}:{(78,1),(79,1)}

497 :  0:{1,2,3,6}:{(1,1),(2,1),(27,1),(30,1)}
       1:{1,2,3,5}:{(0,1),(5,1),(6,1),(19,1)}
       2:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(38,1),(52,1)}
       3:{2,3,4,6}:{(4,1),(7,1),(18,1),(22,1),(40,1)}
       4:{1,3,4,6}:{(2,1),(3,1),(8,1),(9,1),(10,1),(26,1),(28,1),(30,1),(48,1)}
       5:{1,2,4}:{(1,1),(10,1)}
       6:{1,2,5}:{(2,1),(9,1)}
       7:{2,3,5}:{(3,1),(9,1),(13,1)}
       8:{2,3,4,6}:{(4,1),(15,1),(18,1),(34,1),(40,1)}
       9:{1,3,5}:{(4,1),(6,1),(7,1),(15,1),(16,1)}
      10:{1,3,4}:{(5,1),(18,1),(19,1)}
      11:{1,2,4,5}:{(5,1),(6,1),(16,1),(19,1),(20,1),(36,1)}
      12:{1,2,5,6}:{(6,1),(17,1),(20,1),(50,1),(52,1)}
      13:{2,4,5}:{(7,1),(16,1),(21,1),(22,1)}
      14:{2,3,5,6}:{(7,1),(17,1),(22,1),(40,1),(41,1),(50,1)}
      15:{2,3,5}:{(8,1),(9,1),(23,1)}
      16:{1,4,5}:{(9,1),(13,1),(23,1),(26,1)}
      17:{1,3,5,6}:{(9,1),(12,1),(14,1),(24,1),(26,1),(30,1),(48,1),(53,1)}
      18:{2,3,4}:{(10,1),(28,1),(29,1)}
      19:{1,3,5}:{(10,1),(11,1),(29,1),(30,1)}
      20:{1,2,4,6}:{(11,1),(12,1),(26,1),(30,1),(46,1)}
      21:{3,4,5}:{(13,1),(32,1)}
      22:{2,4,6}:{(13,1),(14,1),(26,1),(32,1)}
      23:{2,4,5}:{(15,1),(16,1),(33,1),(34,1)}
      24:{2,3,5,6}:{(15,1),(17,1),(34,1),(40,1),(49,1),(50,1)}
      25:{1,3,4,5}:{(16,1),(19,1),(21,1),(33,1),(36,1),(37,1)}
      26:{1,4,6}:{(16,1),(17,1),(22,1),(34,1)}
      27:{1,2,3}:{(38,1)}
      28:{1,3,4}:{(18,1),(38,1),(39,1)}
      29:{2,3,5}:{(18,1),(19,1),(36,1),(39,1),(40,1)}
      30:{1,3,6}:{(19,1),(20,1),(40,1)}
      31:{2,4,5,6}:{(22,1),(35,1),(41,1),(50,1)}
      32:{3,4,6}:{(21,1),(22,1),(41,1)}
      33:{3,4,5}:{(23,1),(43,1)}
      34:{2,4,6}:{(23,1),(24,1),(26,1),(43,1)}
      35:{1,4,5,6}:{(26,1),(31,1),(42,1),(44,1),(53,1)}
      36:{2,4,5}:{(25,1),(29,1),(45,1),(46,1)}
      37:{1,3,4,6}:{(25,1),(26,1),(30,1),(32,1),(43,1),(44,1),(46,1)}
      38:{1,2,4}:{(27,1),(28,1),(47,1)}
      39:{1,3,5}:{(28,1),(29,1),(45,1),(47,1),(48,1)}
      40:{2,3,6}:{(29,1),(30,1),(46,1),(48,1)}
      41:{3,5,6}:{(31,1),(32,1)}
      42:{2,4,5,6}:{(34,1),(35,1),(49,1),(50,1)}
      43:{3,4,6}:{(33,1),(34,1),(49,1)}
      44:{1,3,5,6}:{(35,1),(37,1),(41,1),(49,1),(50,1)}
      45:{1,4,5}:{(36,1),(39,1),(51,1)}
      46:{2,4,6}:{(36,1),(37,1),(40,1),(50,1),(51,1)}
      47:{1,2,5}:{(38,1),(39,1),(52,1)}
      48:{1,3,6}:{(39,1),(40,1),(51,1),(52,1)}
      49:{3,5,6}:{(42,1),(43,1)}
      50:{2,5,6}:{(44,1),(46,1),(53,1)}
      51:{1,4,6}:{(45,1),(46,1),(48,1),(53,1)}
      52:{1,2,6}:{(47,1),(48,1)}
      53:{1,5,6}:{(50,1),(51,1)}

498 :  0:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       1:{1,2,5}:{(0,1),(5,1),(17,1),(27,1)}
       2:{1,3,6}:{(0,1),(4,1),(5,1),(44,1)}
       3:{1,2,6}:{(7,1),(8,1),(43,1)}
       4:{2,3,6}:{(2,1),(8,1),(9,1),(10,1),(38,1),(43,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(11,1),(34,1),(42,1)}
       6:{1,3,4,6}:{(2,1),(10,1),(11,1),(12,1),(23,1),(26,1),(38,1)}
       7:{1,2,5}:{(3,1),(13,1),(14,1),(40,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(14,1),(16,1),(17,1),(28,1),(32,1),(40,1)}
      10:{2,4,6}:{(4,1),(6,1),(15,1),(16,1),(17,1)}
      11:{1,4}:{(5,1),(16,1)}
      12:{1,3,5}:{(6,1),(17,1),(18,1),(32,1)}
      13:{1,2,4}:{(7,1),(20,1),(21,1),(35,1)}
      14:{1,3,5}:{(7,1),(8,1),(9,1),(20,1),(21,1),(22,1)}
      15:{1,4,6}:{(8,1),(10,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(11,1),(21,1),(23,1)}
      17:{2,5}:{(10,1),(12,1),(22,1)}
      18:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(42,1)}
      19:{1,3,5,6}:{(12,1),(25,1),(26,1),(38,1)}
      20:{1,3}:{(13,1),(28,1)}
      21:{1,4}:{(14,1),(16,1)}
      22:{1,5}:{(15,1),(17,1)}
      23:{3,4}:{(16,1),(32,1)}
      24:{2,4,5}:{(16,1),(17,1),(18,1),(30,1),(32,1),(33,1),(40,1)}
      25:{2,5,6}:{(17,1),(19,1),(31,1),(33,1)}
      26:{1,4,6}:{(18,1),(19,1),(33,1),(44,1)}
      27:{1,2}:{(34,1)}
      28:{2,3}:{(20,1),(34,1),(35,1)}
      29:{1,3,4}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
      30:{1,4,5}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
      31:{1,5,6}:{(22,1),(25,1),(37,1)}
      32:{3,5}:{(23,1),(24,1),(38,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(37,1),(38,1),(43,1)}
      34:{1,3}:{(27,1),(28,1),(39,1)}
      35:{2,4}:{(28,1),(29,1),(39,1),(40,1)}
      36:{1,3,5}:{(29,1),(30,1),(32,1),(40,1),(41,1)}
      37:{1,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{3,6}:{(32,1),(33,1)}
      39:{1,4}:{(34,1),(35,1),(42,1)}
      40:{2,5}:{(35,1),(36,1),(42,1),(43,1)}
      41:{1,3,6}:{(36,1),(37,1),(38,1),(43,1)}
      42:{1,5}:{(39,1),(40,1),(44,1)}
      43:{2,6}:{(40,1),(41,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

499 :  0:{1,2,3,5}:{(1,1),(2,1),(10,1),(13,1)}
       1:{1,2,4}:{(0,1),(4,1)}
       2:{1,2,3,6}:{(0,1),(6,1),(21,1),(76,1)}
       3:{1,2,3}:{(7,1)}
       4:{1,3,4}:{(1,1),(9,1),(10,1)}
       5:{1,2,4,5}:{(1,1),(10,1),(12,1),(13,1),(29,1),(34,1)}
       6:{1,2,4,6}:{(1,1),(2,1),(11,1),(13,1),(69,1),(79,1)}
       7:{1,2,4}:{(3,1),(14,1),(15,1)}
       8:{1,2,3,6}:{(3,1),(16,1),(17,1),(59,1)}
       9:{2,3,4}:{(4,1),(14,1),(18,1)}
      10:{1,3,5}:{(4,1),(5,1),(18,1),(21,1)}
      11:{1,3,4,6}:{(4,1),(6,1),(19,1),(21,1),(22,1),(45,1),(61,1),(74,1)}
      12:{1,2,4,6}:{(5,1),(21,1),(23,1),(41,1),(45,1)}
      13:{1,2,5}:{(6,1),(22,1)}
      14:{1,3,4}:{(7,1),(9,1),(24,1)}
      15:{1,2,5}:{(7,1),(24,1),(26,1)}
      16:{1,2,4,6}:{(7,1),(8,1),(25,1),(26,1),(27,1),(28,1)}
      17:{1,2,3,5}:{(8,1),(27,1),(28,1),(50,1)}
      18:{2,3,5}:{(9,1),(10,1),(24,1),(29,1),(30,1)}
      19:{2,3,4,6}:{(9,1),(11,1),(25,1),(30,1),(31,1),(51,1),(53,1),(67,1)}
      20:{1,3,4,5}:{(10,1),(29,1),(32,1),(34,1),(54,1)}
      21:{1,3,6}:{(10,1),(12,1),(30,1)}
      22:{1,3,5}:{(11,1),(13,1),(31,1),(34,1)}
      23:{1,2,5,6}:{(12,1),(13,1),(33,1),(52,1),(79,1)}
      24:{1,3,5}:{(14,1),(15,1),(18,1),(35,1),(36,1)}
      25:{1,3,4,6}:{(14,1),(16,1),(19,1),(36,1),(37,1),(40,1),(57,1),(59,1)}
      26:{1,2,6}:{(15,1),(36,1)}
      27:{1,2,5}:{(16,1),(37,1)}
      28:{1,2,4}:{(17,1),(40,1)}
      29:{2,4,5}:{(18,1),(20,1),(35,1),(41,1)}
      30:{2,3,6}:{(18,1),(21,1),(36,1),(41,1)}
      31:{2,3,5}:{(19,1),(22,1),(37,1),(43,1)}
      32:{1,3,4,6}:{(20,1),(21,1),(41,1),(44,1),(45,1),(63,1)}
      33:{1,3,5,6}:{(21,1),(22,1),(23,1),(42,1),(45,1),(74,1),(80,1)}
      34:{1,4,5}:{(22,1),(43,1),(45,1)}
      35:{1,4,5}:{(24,1),(29,1),(46,1)}
      36:{1,3,6}:{(24,1),(26,1),(30,1),(46,1)}
      37:{1,3,5}:{(25,1),(27,1),(31,1),(48,1)}
      38:{1,2,5,6}:{(26,1),(27,1),(47,1),(49,1),(77,1)}
      39:{1,2,4,5}:{(27,1),(28,1),(48,1),(49,1),(50,1),(66,1)}
      40:{1,3,4}:{(28,1),(50,1),(51,1)}
      41:{2,4,6}:{(29,1),(30,1),(32,1),(46,1),(52,1)}
      42:{2,3,5,6}:{(30,1),(31,1),(33,1),(47,1),(52,1),(53,1),(67,1),(70,1),(77,1)}
      43:{2,4,5}:{(31,1),(34,1),(48,1),(53,1),(54,1)}
      44:{1,3,5,6}:{(32,1),(52,1),(55,1),(70,1)}
      45:{1,4,6}:{(33,1),(34,1),(53,1)}
      46:{1,4,6}:{(35,1),(36,1),(41,1),(56,1)}
      47:{1,3,5,6}:{(36,1),(37,1),(38,1),(42,1),(56,1),(57,1),(59,1)}
      48:{1,4,5}:{(37,1),(43,1),(57,1)}
      49:{1,2,4,6}:{(38,1),(39,1),(57,1),(59,1),(72,1)}
      50:{1,3,5}:{(39,1),(40,1),(59,1),(60,1)}
      51:{2,3,4}:{(40,1),(60,1),(61,1)}
      52:{2,5,6}:{(41,1),(44,1),(56,1)}
      53:{2,4,6}:{(42,1),(43,1),(45,1),(57,1),(63,1)}
      54:{3,4,5}:{(43,1),(63,1)}
      55:{1,4,5,6}:{(44,1),(45,1),(62,1),(80,1)}
      56:{1,5,6}:{(46,1),(52,1)}
      57:{1,4,6}:{(47,1),(48,1),(53,1)}
      58:{1,3,4,5}:{(48,1),(50,1),(54,1),(65,1),(66,1)}
      59:{1,3,6}:{(49,1),(50,1),(67,1)}
      60:{2,3,5}:{(50,1),(51,1),(66,1),(67,1),(68,1)}
      61:{1,3,4}:{(51,1),(68,1),(69,1)}
      62:{2,4,5,6}:{(52,1),(53,1),(55,1),(64,1),(70,1),(77,1)}
      63:{3,4,6}:{(53,1),(54,1),(70,1)}
      64:{1,4,5,6}:{(56,1),(57,1),(62,1),(71,1)}
      65:{1,3,4,6}:{(57,1),(58,1),(59,1),(63,1),(71,1),(72,1)}
      66:{2,4,5}:{(58,1),(60,1),(72,1),(73,1)}
      67:{2,3,6}:{(59,1),(60,1),(72,1),(74,1)}
      68:{1,3,5}:{(60,1),(61,1),(73,1),(74,1),(75,1)}
      69:{1,2,4}:{(61,1),(75,1),(76,1)}
      70:{3,5,6}:{(62,1),(63,1)}
      71:{1,3,5,6}:{(64,1),(65,1),(70,1),(77,1)}
      72:{2,4,6}:{(65,1),(66,1),(67,1),(77,1),(78,1)}
      73:{1,4,5}:{(66,1),(68,1),(78,1)}
      74:{1,3,6}:{(67,1),(68,1),(78,1),(79,1)}
      75:{1,2,5}:{(68,1),(69,1),(79,1)}
      76:{1,2,3}:{(69,1)}
      77:{2,5,6}:{(71,1),(72,1),(80,1)}
      78:{1,4,6}:{(72,1),(73,1),(74,1),(80,1)}
      79:{1,2,6}:{(74,1),(75,1)}
      80:{1,5,6}:{(77,1),(78,1)}

500 :  0:{1,2,3,6}:{(1,1),(2,1),(27,1),(48,1)}
       1:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(39,1),(52,1)}
       2:{1,2,3,5}:{(0,1),(5,1),(6,1),(19,1)}
       3:{2,3,4,6}:{(4,1),(7,1),(20,1),(21,1),(37,1)}
       4:{1,3,4,6}:{(1,1),(3,1),(8,1),(9,1),(12,1),(25,1),(27,1),(29,1),(46,1)}
       5:{1,2,5}:{(1,1),(9,1)}
       6:{1,2,4}:{(2,1),(12,1)}
       7:{2,3,5}:{(3,1),(9,1),(14,1)}
       8:{2,3,4,6}:{(4,1),(15,1),(20,1),(32,1),(37,1)}
       9:{1,3,5}:{(4,1),(5,1),(7,1),(15,1),(17,1)}
      10:{1,2,5,6}:{(5,1),(16,1),(18,1),(50,1),(52,1)}
      11:{1,2,4,5}:{(5,1),(6,1),(17,1),(18,1),(19,1),(36,1)}
      12:{1,3,4}:{(6,1),(19,1),(20,1)}
      13:{2,3,5,6}:{(7,1),(16,1),(21,1),(37,1),(40,1),(50,1)}
      14:{2,4,5}:{(7,1),(17,1),(21,1),(22,1)}
      15:{2,3,5}:{(8,1),(9,1),(24,1)}
      16:{1,3,5,6}:{(9,1),(10,1),(13,1),(23,1),(25,1),(27,1),(46,1),(53,1)}
      17:{1,4,5}:{(9,1),(14,1),(24,1),(25,1)}
      18:{1,2,4,6}:{(10,1),(11,1),(25,1),(27,1),(44,1)}
      19:{1,3,5}:{(11,1),(12,1),(27,1),(28,1)}
      20:{2,3,4}:{(12,1),(28,1),(29,1)}
      21:{2,4,6}:{(13,1),(14,1),(25,1),(31,1)}
      22:{3,4,5}:{(14,1),(31,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(32,1),(37,1),(49,1),(50,1)}
      24:{2,4,5}:{(15,1),(17,1),(32,1),(33,1)}
      25:{1,4,6}:{(16,1),(17,1),(21,1),(32,1)}
      26:{1,3,4,5}:{(17,1),(19,1),(22,1),(33,1),(35,1),(36,1)}
      27:{1,3,6}:{(18,1),(19,1),(37,1)}
      28:{2,3,5}:{(19,1),(20,1),(36,1),(37,1),(38,1)}
      29:{1,3,4}:{(20,1),(38,1),(39,1)}
      30:{2,4,5,6}:{(21,1),(34,1),(40,1),(50,1)}
      31:{3,4,6}:{(21,1),(22,1),(40,1)}
      32:{2,4,6}:{(23,1),(24,1),(25,1),(42,1)}
      33:{3,4,5}:{(24,1),(42,1)}
      34:{1,4,5,6}:{(25,1),(30,1),(41,1),(43,1),(53,1)}
      35:{1,3,4,6}:{(25,1),(26,1),(27,1),(31,1),(42,1),(43,1),(44,1)}
      36:{2,4,5}:{(26,1),(28,1),(44,1),(45,1)}
      37:{2,3,6}:{(27,1),(28,1),(44,1),(46,1)}
      38:{1,3,5}:{(28,1),(29,1),(45,1),(46,1),(47,1)}
      39:{1,2,4}:{(29,1),(47,1),(48,1)}
      40:{3,5,6}:{(30,1),(31,1)}
      41:{2,4,5,6}:{(32,1),(34,1),(49,1),(50,1)}
      42:{3,4,6}:{(32,1),(33,1),(49,1)}
      43:{1,3,5,6}:{(34,1),(35,1),(40,1),(49,1),(50,1)}
      44:{2,4,6}:{(35,1),(36,1),(37,1),(50,1),(51,1)}
      45:{1,4,5}:{(36,1),(38,1),(51,1)}
      46:{1,3,6}:{(37,1),(38,1),(51,1),(52,1)}
      47:{1,2,5}:{(38,1),(39,1),(52,1)}
      48:{1,2,3}:{(39,1)}
      49:{3,5,6}:{(41,1),(42,1)}
      50:{2,5,6}:{(43,1),(44,1),(53,1)}
      51:{1,4,6}:{(44,1),(45,1),(46,1),(53,1)}
      52:{1,2,6}:{(46,1),(47,1)}
      53:{1,5,6}:{(50,1),(51,1)}

501 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1)}
       2:{2,3,4}:{(3,1),(5,1)}
       3:{1,3,4}:{(1,1),(2,1),(6,1),(7,1)}
       4:{1,2,5}:{(1,1),(7,1),(8,1)}
       5:{2,3,5}:{(2,1),(7,1),(9,1),(10,1)}
       6:{2,3,4}:{(3,1),(11,1)}
       7:{1,3,5}:{(3,1),(4,1),(5,1),(11,1),(12,1),(13,1)}
       8:{1,2,6}:{(4,1),(13,1)}
       9:{2,4,5}:{(5,1),(12,1),(14,1),(15,1)}
      10:{2,3,6}:{(5,1),(13,1),(15,1)}
      11:{2,3,5}:{(6,1),(7,1),(16,1),(17,1)}
      12:{1,4,5}:{(7,1),(9,1),(16,1),(18,1)}
      13:{1,3,6}:{(7,1),(8,1),(10,1),(17,1),(18,1)}
      14:{3,4,5}:{(9,1),(19,1)}
      15:{2,4,6}:{(9,1),(10,1),(18,1),(19,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(21,1),(22,1)}
      17:{2,3,6}:{(11,1),(13,1),(22,1)}
      18:{1,4,6}:{(12,1),(13,1),(15,1),(22,1),(23,1)}
      19:{3,4,6}:{(14,1),(15,1),(24,1)}
      20:{2,5,6}:{(15,1),(23,1),(24,1)}
      21:{3,4,5}:{(16,1),(25,1)}
      22:{2,4,6}:{(16,1),(17,1),(18,1),(25,1),(26,1)}
      23:{1,5,6}:{(18,1),(20,1),(26,1)}
      24:{3,5,6}:{(19,1),(20,1),(27,1)}
      25:{3,4,6}:{(21,1),(22,1),(28,1)}
      26:{2,5,6}:{(22,1),(23,1),(28,1)}
      27:{4,5,6}:{(24,1)}
      28:{3,5,6}:{(25,1),(26,1),(29,1)}
      29:{4,5,6}:{(28,1)}

502 :  0:{3,4,5,6}:{(2,1),(42,1)}
       1:{2,3,4,5}:{(3,1),(4,1),(25,1),(43,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1),(39,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1),(30,1),(39,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1),(18,1),(29,1),(40,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(9,1)}
       6:{1,4,5,6}:{(2,1),(9,1),(10,1),(35,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(9,1),(11,1),(22,1),(23,1),(35,1)}
       8:{2,4,5}:{(4,1),(11,1),(13,1)}
       9:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1),(15,1)}
      10:{2,4,5,6}:{(6,1),(14,1),(15,1),(28,1)}
      11:{2,4,6}:{(7,1),(8,1),(14,1),(17,1)}
      12:{1,2,4,5}:{(8,1),(16,1),(18,1),(33,1),(40,1),(41,1)}
      13:{2,3,5}:{(8,1),(17,1),(18,1),(19,1)}
      14:{2,5,6}:{(9,1),(11,1)}
      15:{3,5,6}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(20,1),(23,1),(35,1),(37,1)}
      17:{2,3,6}:{(11,1),(13,1),(23,1)}
      18:{1,3,5}:{(12,1),(13,1),(23,1),(25,1),(26,1)}
      19:{2,3,4}:{(13,1),(26,1)}
      20:{1,2,5,6}:{(14,1),(16,1),(27,1),(41,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(17,1),(27,1),(28,1),(32,1)}
      22:{3,4,6}:{(15,1),(28,1),(29,1)}
      23:{1,3,6}:{(16,1),(17,1),(18,1),(30,1)}
      24:{2,3,4,6}:{(17,1),(19,1),(28,1),(31,1),(32,1)}
      25:{2,3,5}:{(18,1),(30,1),(33,1),(41,1)}
      26:{1,3,4}:{(18,1),(19,1),(33,1)}
      27:{1,3,5,6}:{(20,1),(21,1),(23,1),(34,1),(35,1),(38,1)}
      28:{2,4,6}:{(21,1),(22,1),(35,1),(36,1)}
      29:{3,4,5}:{(22,1),(36,1)}
      30:{2,3,6}:{(23,1),(25,1),(37,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(26,1),(35,1),(37,1),(38,1),(42,1)}
      32:{2,3,5}:{(24,1),(36,1),(38,1)}
      33:{2,4}:{(25,1),(26,1)}
      34:{2,3,5,6}:{(27,1),(30,1),(39,1),(41,1),(44,1)}
      35:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      36:{2,4,5}:{(28,1),(29,1),(32,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{1,3,5}:{(31,1),(32,1),(40,1),(41,1),(44,1)}
      39:{2,4,6}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(35,1),(36,1),(38,1),(43,1)}
      41:{2,5}:{(37,1),(38,1)}
      42:{3,4,6}:{(39,1),(44,1)}
      43:{2,4,5}:{(39,1),(40,1),(41,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

503 :  0:{1,2,4,5,6}:{(1,1),(5,1),(13,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(24,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(20,1),(21,1)}
       4:{1,3,4,5}:{(2,1),(8,1),(15,1),(26,1)}
       5:{2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,3,4,6}:{(5,1),(11,1),(12,1),(21,1),(28,1)}
       8:{2,4,5}:{(4,1),(5,1),(11,1),(13,1),(20,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(20,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(9,1),(15,1),(16,1),(18,1),(24,1),(26,1),(29,1)}
      13:{1,4,5}:{(8,1),(9,1),(15,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(20,1)}
      16:{2,4,6}:{(12,1),(20,1),(21,1),(28,1)}
      17:{1,2,4,5}:{(13,1),(14,1),(20,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(21,1),(22,1)}
      19:{1,2,4,6}:{(16,1),(23,1),(24,1),(29,1)}
      20:{2,5}:{(15,1),(16,1)}
      21:{2,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,3,5}:{(17,1),(18,1),(25,1),(26,1)}
      23:{1,2,5}:{(19,1),(20,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{2,3,5}:{(20,1),(21,1),(22,1),(27,1),(28,1)}
      26:{1,3,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{2,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

504 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(43,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(25,1),(38,1)}
       2:{1,3,4,5}:{(0,1),(5,1),(6,1),(13,1),(40,1),(41,1)}
       3:{3,4,5,6}:{(8,1),(42,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(20,1),(34,1),(36,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,5}:{(6,1),(12,1),(13,1),(26,1),(39,1),(40,1)}
       8:{2,4,5,6}:{(3,1),(4,1),(14,1),(38,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(29,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{2,3,5}:{(6,1),(13,1),(16,1),(17,1)}
      12:{1,2,4,6}:{(7,1),(10,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,3,5}:{(7,1),(11,1),(18,1),(20,1),(21,1)}
      14:{1,4,5,6}:{(8,1),(9,1),(22,1),(34,1)}
      15:{2,5,6}:{(9,1),(10,1)}
      16:{2,3,6}:{(10,1),(11,1),(20,1)}
      17:{2,3,4}:{(11,1),(21,1)}
      18:{2,3,5}:{(13,1),(25,1),(26,1),(39,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(27,1),(39,1)}
      20:{1,3,6}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,3,4}:{(13,1),(17,1),(26,1)}
      22:{2,4,5,6}:{(14,1),(15,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(27,1),(29,1),(30,1),(31,1)}
      24:{2,3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1)}
      25:{2,3,6}:{(18,1),(20,1),(33,1)}
      26:{2,4}:{(18,1),(21,1)}
      27:{1,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1)}
      28:{1,3,4,6}:{(20,1),(21,1),(24,1),(33,1),(34,1),(35,1),(42,1)}
      29:{3,5,6}:{(22,1),(36,1)}
      30:{2,4,6}:{(23,1),(34,1),(36,1),(37,1)}
      31:{2,3,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(38,1),(39,1),(44,1)}
      33:{2,4,6}:{(25,1),(26,1),(28,1),(39,1)}
      34:{1,4,6}:{(27,1),(30,1),(38,1),(40,1)}
      35:{1,3,5}:{(28,1),(31,1),(39,1),(40,1),(44,1)}
      36:{3,4,6}:{(29,1),(30,1),(41,1)}
      37:{2,4,5}:{(30,1),(31,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(34,1),(42,1),(43,1)}
      39:{2,5}:{(33,1),(35,1)}
      40:{1,4,5}:{(34,1),(35,1),(37,1),(43,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{3,4,6}:{(38,1),(44,1)}
      43:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

505 :  0:{2,3,4,5}:{(2,1),(3,1),(29,1),(51,1)}
       1:{1,2,3,5}:{(4,1),(5,1),(19,1),(22,1)}
       2:{1,3,4,5}:{(0,1),(7,1),(8,1),(19,1),(44,1),(47,1)}
       3:{2,3,4,6}:{(0,1),(8,1),(9,1),(40,1),(57,1)}
       4:{1,2,4}:{(1,1),(10,1)}
       5:{1,2,3,6}:{(1,1),(12,1),(32,1)}
       6:{2,3,4}:{(10,1),(13,1)}
       7:{2,4,5}:{(2,1),(13,1),(15,1)}
       8:{1,3,4,6}:{(2,1),(3,1),(15,1),(16,1),(32,1),(53,1),(55,1)}
       9:{2,3,5,6}:{(3,1),(16,1),(17,1)}
      10:{1,3,4}:{(4,1),(6,1),(18,1),(19,1)}
      11:{1,2,4,5}:{(4,1),(7,1),(19,1),(21,1),(22,1),(39,1),(44,1)}
      12:{1,2,4,6}:{(4,1),(5,1),(20,1),(22,1)}
      13:{2,3,5}:{(6,1),(7,1),(19,1),(24,1)}
      14:{2,3,4,6}:{(6,1),(20,1),(24,1),(25,1),(46,1)}
      15:{2,4,6}:{(7,1),(8,1),(24,1),(26,1)}
      16:{1,3,5,6}:{(8,1),(9,1),(26,1),(27,1),(48,1)}
      17:{2,4,5,6}:{(9,1),(27,1),(28,1),(57,1)}
      18:{2,3,4}:{(10,1),(29,1)}
      19:{1,3,5}:{(10,1),(11,1),(13,1),(29,1),(32,1)}
      20:{1,3,4,6}:{(10,1),(12,1),(14,1),(30,1),(32,1),(33,1),(53,1)}
      21:{1,2,4,6}:{(11,1),(15,1),(32,1),(34,1),(49,1),(53,1)}
      22:{1,2,5}:{(12,1),(33,1)}
      23:{2,3,4,5}:{(13,1),(31,1),(35,1),(37,1)}
      24:{2,3,6}:{(13,1),(15,1),(32,1)}
      25:{2,3,5}:{(14,1),(33,1),(37,1)}
      26:{2,5,6}:{(15,1),(16,1)}
      27:{1,4,5,6}:{(16,1),(17,1),(38,1),(53,1)}
      28:{3,4,5,6}:{(17,1),(62,1)}
      29:{2,3,5}:{(18,1),(19,1),(39,1),(40,1)}
      30:{2,3,4,6}:{(18,1),(20,1),(40,1),(41,1),(57,1)}
      31:{1,3,4,5}:{(19,1),(23,1),(39,1),(42,1),(44,1),(58,1)}
      32:{1,3,6}:{(19,1),(21,1),(24,1),(40,1)}
      33:{1,3,5}:{(20,1),(22,1),(25,1),(41,1),(44,1)}
      34:{1,2,5,6}:{(21,1),(22,1),(26,1),(43,1),(56,1)}
      35:{2,3,4,6}:{(23,1),(24,1),(42,1),(45,1),(46,1)}
      36:{2,3,5,6}:{(24,1),(25,1),(26,1),(43,1),(46,1),(48,1)}
      37:{2,4,5}:{(25,1),(44,1),(46,1),(47,1)}
      38:{2,4,5,6}:{(26,1),(27,1),(46,1),(48,1)}
      39:{2,4,5}:{(29,1),(31,1),(49,1)}
      40:{2,3,6}:{(29,1),(32,1),(49,1)}
      41:{2,3,5}:{(30,1),(33,1),(51,1)}
      42:{1,3,4,6}:{(31,1),(32,1),(35,1),(49,1),(52,1),(53,1),(62,1)}
      43:{1,3,5,6}:{(32,1),(33,1),(34,1),(36,1),(50,1),(53,1)}
      44:{1,4,5}:{(33,1),(37,1),(51,1),(53,1)}
      45:{2,3,5,6}:{(35,1),(52,1),(54,1)}
      46:{2,4,6}:{(36,1),(37,1),(53,1),(55,1)}
      47:{3,4,5}:{(37,1),(55,1)}
      48:{3,5,6}:{(38,1),(55,1)}
      49:{2,4,6}:{(39,1),(40,1),(42,1),(56,1)}
      50:{2,3,5,6}:{(40,1),(41,1),(43,1),(56,1),(57,1),(63,1)}
      51:{2,4,5}:{(41,1),(44,1),(57,1),(58,1)}
      52:{1,3,5,6}:{(42,1),(45,1),(56,1),(59,1),(63,1)}
      53:{1,4,6}:{(43,1),(44,1),(46,1),(57,1)}
      54:{2,4,5,6}:{(45,1),(46,1),(59,1),(60,1)}
      55:{3,4,6}:{(46,1),(47,1),(48,1)}
      56:{2,5,6}:{(49,1),(52,1)}
      57:{2,4,6}:{(50,1),(51,1),(53,1),(62,1)}
      58:{3,4,5}:{(51,1),(62,1)}
      59:{1,4,5,6}:{(52,1),(53,1),(54,1),(61,1)}
      60:{3,4,5,6}:{(54,1),(55,1)}
      61:{2,4,5,6}:{(56,1),(57,1),(59,1),(63,1)}
      62:{3,4,6}:{(57,1),(58,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

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

507 :  0:{2,3,4,5,6}:{(1,1),(7,1),(25,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(28,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(31,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(11,1),(19,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(27,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
       6:{2,3,4,6}:{(4,1),(8,1),(9,1)}
       7:{2,3,5,6}:{(5,1),(11,1),(20,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(11,1),(12,1)}
       9:{2,3,4,5}:{(6,1),(12,1),(27,1)}
      10:{1,2,3,5,6}:{(7,1),(14,1),(23,1),(32,1)}
      11:{2,4,6}:{(7,1),(8,1),(16,1)}
      12:{1,3,4,5}:{(8,1),(9,1),(16,1),(23,1)}
      13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
      15:{2,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(20,1)}
      17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
      18:{1,3,4,6}:{(14,1),(15,1),(22,1),(23,1)}
      19:{1,2,4,5}:{(14,1),(16,1),(23,1),(31,1)}
      20:{2,3,5}:{(15,1),(16,1),(23,1)}
      21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
      22:{2,3,4,6}:{(18,1),(27,1),(34,1)}
      23:{1,3,5}:{(18,1),(19,1),(20,1),(27,1)}
      24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
      25:{2,3,4,5}:{(20,1),(28,1),(30,1)}
      26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
      27:{2,3,5}:{(22,1),(23,1),(31,1)}
      28:{1,3,4,5}:{(23,1),(25,1),(31,1),(33,1)}
      29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
      30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
      31:{2,4,5}:{(27,1),(28,1),(34,1)}
      32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,6}:{(31,1),(32,1),(33,1)}

508 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1)}
       2:{2,3,4}:{(3,1),(5,1)}
       3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
       4:{1,2,5}:{(1,1),(8,1),(9,1)}
       5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
       6:{3,4,5}:{(10,1),(12,1)}
       7:{2,3,4}:{(3,1),(13,1)}
       8:{1,3,5}:{(3,1),(4,1),(5,1),(13,1),(14,1),(15,1)}
       9:{1,2,6}:{(4,1),(15,1)}
      10:{2,4,5}:{(5,1),(6,1),(14,1),(16,1)}
      11:{2,3,6}:{(5,1),(15,1),(16,1)}
      12:{3,4,6}:{(6,1),(16,1),(17,1)}
      13:{2,3,5}:{(7,1),(8,1),(18,1),(19,1)}
      14:{1,4,5}:{(8,1),(10,1),(18,1),(20,1)}
      15:{1,3,6}:{(8,1),(9,1),(11,1),(19,1),(20,1)}
      16:{2,4,6}:{(10,1),(11,1),(12,1),(20,1),(21,1)}
      17:{3,5,6}:{(12,1),(21,1),(22,1)}
      18:{2,4,5}:{(13,1),(14,1),(23,1),(24,1)}
      19:{2,3,6}:{(13,1),(15,1),(24,1)}
      20:{1,4,6}:{(14,1),(15,1),(16,1),(24,1),(25,1)}
      21:{2,5,6}:{(16,1),(17,1),(25,1)}
      22:{4,5,6}:{(17,1)}
      23:{3,4,5}:{(18,1),(26,1)}
      24:{2,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1)}
      25:{1,5,6}:{(20,1),(21,1),(27,1)}
      26:{3,4,6}:{(23,1),(24,1),(28,1)}
      27:{2,5,6}:{(24,1),(25,1),(28,1)}
      28:{3,5,6}:{(26,1),(27,1),(29,1)}
      29:{4,5,6}:{(28,1)}

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

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

511 :  0:{1,2,3,5}:{(3,1),(4,1),(5,1),(19,1)}
       1:{1,2,4,5}:{(3,1),(5,1),(6,1),(7,1),(19,1),(38,1)}
       2:{1,3,4,5}:{(5,1),(7,1),(8,1),(38,1),(55,1)}
       3:{1,2,4}:{(0,1),(9,1)}
       4:{1,2,3,6}:{(0,1),(10,1),(12,1),(80,1)}
       5:{1,3,5}:{(1,1),(9,1),(11,1),(12,1)}
       6:{1,2,4,6}:{(1,1),(12,1),(13,1),(15,1),(32,1)}
       7:{2,4,5}:{(2,1),(11,1),(14,1),(15,1)}
       8:{1,3,4,6}:{(2,1),(12,1),(15,1),(16,1),(32,1),(50,1)}
       9:{1,3,4}:{(3,1),(5,1),(17,1)}
      10:{1,2,4,6}:{(3,1),(4,1),(18,1),(19,1),(76,1),(79,1)}
      11:{2,3,5}:{(5,1),(7,1),(17,1),(20,1),(21,1)}
      12:{1,3,6}:{(5,1),(6,1),(21,1)}
      13:{1,2,5,6}:{(6,1),(19,1),(22,1),(24,1),(76,1)}
      14:{1,4,5}:{(7,1),(20,1),(23,1)}
      15:{2,4,6}:{(7,1),(8,1),(21,1),(23,1),(24,1)}
      16:{1,3,5,6}:{(8,1),(24,1),(25,1),(43,1)}
      17:{2,3,4}:{(9,1),(11,1),(26,1)}
      18:{1,3,4,6}:{(9,1),(10,1),(12,1),(27,1),(28,1),(32,1),(73,1),(77,1)}
      19:{1,2,5}:{(10,1),(28,1)}
      20:{1,3,5}:{(11,1),(14,1),(26,1),(29,1),(30,1)}
      21:{2,3,6}:{(11,1),(12,1),(15,1),(30,1)}
      22:{1,3,5,6}:{(12,1),(13,1),(28,1),(31,1),(32,1),(64,1),(73,1)}
      23:{1,4,6}:{(14,1),(15,1),(30,1),(33,1)}
      24:{2,5,6}:{(15,1),(16,1),(33,1)}
      25:{1,4,5,6}:{(16,1),(32,1),(34,1),(64,1)}
      26:{1,3,4}:{(17,1),(20,1),(35,1)}
      27:{2,3,4,6}:{(17,1),(18,1),(21,1),(36,1),(37,1),(41,1),(68,1),(74,1)}
      28:{1,3,5}:{(18,1),(19,1),(37,1),(38,1)}
      29:{1,2,5}:{(20,1),(35,1),(39,1)}
      30:{1,3,6}:{(20,1),(21,1),(23,1),(39,1)}
      31:{2,3,5,6}:{(21,1),(22,1),(24,1),(37,1),(40,1),(41,1),(43,1),(58,1),(68,1)}
      32:{1,4,6}:{(22,1),(38,1),(41,1)}
      33:{1,5,6}:{(23,1),(24,1)}
      34:{2,4,5,6}:{(24,1),(25,1),(41,1),(42,1),(43,1),(58,1)}
      35:{1,2,4}:{(26,1),(29,1),(44,1)}
      36:{1,3,4,6}:{(26,1),(27,1),(30,1),(45,1),(46,1),(49,1),(62,1),(70,1)}
      37:{2,3,5}:{(27,1),(28,1),(46,1),(47,1)}
      38:{1,4,5}:{(28,1),(32,1),(47,1)}
      39:{1,2,6}:{(29,1),(30,1)}
      40:{1,3,5,6}:{(30,1),(31,1),(33,1),(46,1),(48,1),(49,1),(62,1)}
      41:{2,4,6}:{(31,1),(32,1),(47,1),(49,1),(50,1)}
      42:{1,4,5,6}:{(33,1),(34,1),(49,1),(51,1)}
      43:{3,5,6}:{(34,1),(50,1)}
      44:{1,2,3}:{(35,1)}
      45:{1,2,4,6}:{(35,1),(36,1),(39,1),(52,1),(53,1),(65,1)}
      46:{1,3,5}:{(36,1),(37,1),(53,1),(54,1)}
      47:{2,4,5}:{(37,1),(38,1),(41,1),(54,1),(55,1)}
      48:{1,2,5,6}:{(39,1),(40,1),(53,1),(56,1),(58,1)}
      49:{1,4,6}:{(40,1),(41,1),(54,1)}
      50:{3,4,6}:{(41,1),(43,1),(55,1)}
      51:{1,3,5,6}:{(42,1),(43,1),(57,1),(58,1)}
      52:{1,2,3,6}:{(44,1),(45,1),(59,1),(62,1)}
      53:{1,2,5}:{(45,1),(46,1)}
      54:{1,4,5}:{(46,1),(47,1),(49,1)}
      55:{3,4,5}:{(47,1),(50,1)}
      56:{1,2,4,6}:{(48,1),(49,1),(60,1),(62,1),(63,1)}
      57:{1,3,4,6}:{(49,1),(50,1),(51,1),(61,1),(62,1),(63,1)}
      58:{2,5,6}:{(51,1),(63,1),(64,1)}
      59:{1,2,3,5}:{(52,1),(53,1),(65,1),(66,1)}
      60:{1,2,4,5}:{(53,1),(54,1),(56,1),(65,1),(66,1),(67,1)}
      61:{1,3,4,5}:{(54,1),(55,1),(57,1),(66,1),(67,1)}
      62:{1,3,6}:{(56,1),(66,1),(68,1)}
      63:{2,4,6}:{(57,1),(58,1),(67,1),(68,1),(69,1)}
      64:{1,5,6}:{(58,1),(69,1)}
      65:{1,2,4}:{(59,1),(70,1)}
      66:{1,3,5}:{(60,1),(62,1),(70,1),(71,1)}
      67:{2,4,5}:{(61,1),(63,1),(71,1),(72,1)}
      68:{2,3,6}:{(62,1),(63,1),(71,1),(73,1)}
      69:{1,4,6}:{(63,1),(64,1),(72,1),(73,1)}
      70:{1,3,4}:{(65,1),(66,1),(74,1)}
      71:{2,3,5}:{(66,1),(67,1),(68,1),(74,1),(75,1)}
      72:{1,4,5}:{(67,1),(69,1),(75,1)}
      73:{1,3,6}:{(68,1),(69,1),(75,1),(76,1)}
      74:{2,3,4}:{(70,1),(71,1),(77,1)}
      75:{1,3,5}:{(71,1),(72,1),(73,1),(77,1),(78,1)}
      76:{1,2,6}:{(73,1),(78,1)}
      77:{1,3,4}:{(74,1),(75,1),(79,1)}
      78:{1,2,5}:{(75,1),(76,1),(79,1)}
      79:{1,2,4}:{(77,1),(78,1),(80,1)}
      80:{1,2,3}:{(79,1)}

512 :  0:{2,3,4,5}:{(1,1),(2,1),(13,1),(51,1)}
       1:{1,3,4,5}:{(0,1),(5,1),(6,1),(8,1),(21,1),(47,1),(54,1),(55,1)}
       2:{2,3,4,6}:{(0,1),(6,1),(7,1),(24,1),(45,1)}
       3:{1,2,4,5}:{(5,1),(8,1),(9,1),(10,1),(30,1),(47,1)}
       4:{1,2,3,5}:{(8,1),(10,1),(11,1),(30,1)}
       5:{2,4,5}:{(1,1),(13,1),(14,1)}
       6:{1,3,4,6}:{(1,1),(2,1),(14,1),(15,1),(18,1),(33,1),(39,1),(50,1),(52,1)}
       7:{2,3,5,6}:{(2,1),(15,1),(16,1)}
       8:{1,3,5}:{(3,1),(13,1),(17,1),(18,1)}
       9:{1,2,4,6}:{(3,1),(14,1),(18,1),(19,1),(39,1)}
      10:{1,2,4}:{(4,1),(17,1)}
      11:{1,2,3,6}:{(4,1),(18,1),(20,1)}
      12:{1,2,4,5}:{(5,1),(21,1),(22,1),(40,1),(53,1),(54,1)}
      13:{2,3,5}:{(5,1),(8,1),(21,1),(23,1),(24,1)}
      14:{2,4,6}:{(5,1),(6,1),(24,1),(25,1)}
      15:{1,3,5,6}:{(6,1),(7,1),(25,1),(26,1),(46,1)}
      16:{2,4,5,6}:{(7,1),(26,1),(27,1),(45,1)}
      17:{1,3,4}:{(8,1),(10,1),(23,1)}
      18:{1,3,6}:{(8,1),(9,1),(24,1)}
      19:{1,2,5,6}:{(9,1),(25,1),(29,1),(30,1)}
      20:{1,2,4,6}:{(10,1),(11,1),(28,1),(30,1)}
      21:{1,3,5}:{(12,1),(13,1),(32,1),(33,1)}
      22:{1,2,4,6}:{(12,1),(14,1),(33,1),(34,1),(50,1)}
      23:{2,3,4}:{(13,1),(17,1),(32,1)}
      24:{2,3,6}:{(13,1),(14,1),(18,1),(33,1)}
      25:{2,5,6}:{(14,1),(15,1)}
      26:{1,4,5,6}:{(15,1),(16,1),(37,1),(39,1),(50,1)}
      27:{3,4,5,6}:{(16,1),(52,1)}
      28:{1,3,4,6}:{(17,1),(18,1),(20,1),(35,1),(38,1),(39,1)}
      29:{1,3,5,6}:{(18,1),(19,1),(36,1),(38,1),(39,1)}
      30:{1,2,5}:{(20,1),(38,1)}
      31:{1,2,3,5}:{(21,1),(40,1),(41,1),(53,1)}
      32:{1,3,4}:{(21,1),(23,1),(40,1)}
      33:{1,3,6}:{(21,1),(22,1),(24,1)}
      34:{1,2,5,6}:{(22,1),(25,1),(43,1),(53,1)}
      35:{2,3,4,6}:{(23,1),(24,1),(28,1),(42,1),(44,1),(45,1)}
      36:{2,3,5,6}:{(24,1),(25,1),(29,1),(43,1),(44,1),(45,1),(46,1)}
      37:{2,4,5,6}:{(25,1),(26,1),(45,1),(46,1)}
      38:{1,3,5}:{(28,1),(30,1),(44,1),(47,1)}
      39:{1,4,6}:{(29,1),(45,1),(47,1)}
      40:{1,2,4}:{(31,1),(32,1)}
      41:{1,2,3,6}:{(31,1),(33,1),(48,1)}
      42:{1,3,4,6}:{(32,1),(33,1),(35,1),(48,1),(49,1),(50,1)}
      43:{1,3,5,6}:{(33,1),(34,1),(36,1),(49,1),(50,1)}
      44:{2,3,5}:{(35,1),(38,1),(49,1),(51,1)}
      45:{2,4,6}:{(36,1),(39,1),(50,1),(51,1),(52,1)}
      46:{3,5,6}:{(37,1),(52,1)}
      47:{1,4,5}:{(38,1),(39,1),(51,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(42,1),(53,1)}
      49:{1,3,5}:{(42,1),(44,1),(53,1),(54,1)}
      50:{1,4,6}:{(43,1),(45,1),(54,1)}
      51:{2,4,5}:{(44,1),(45,1),(47,1),(54,1),(55,1)}
      52:{3,4,6}:{(45,1),(46,1),(55,1)}
      53:{1,2,5}:{(48,1),(49,1)}
      54:{1,4,5}:{(49,1),(50,1),(51,1)}
      55:{3,4,5}:{(51,1),(52,1)}

513 :  0:{1,2,4,6}:{(3,1),(4,1),(5,1),(18,1)}
       1:{1,3,4,6}:{(3,1),(5,1),(6,1),(8,1),(18,1),(22,1),(31,1)}
       2:{1,3,5,6}:{(6,1),(7,1),(8,1),(22,1)}
       3:{1,3,6}:{(0,1),(9,1),(10,1),(37,1)}
       4:{1,2,5}:{(0,1),(10,1),(12,1),(44,1)}
       5:{2,4,6}:{(1,1),(9,1),(11,1),(12,1),(25,1)}
       6:{1,3,5}:{(1,1),(12,1),(13,1),(27,1)}
       7:{2,5,6}:{(2,1),(12,1),(14,1),(15,1)}
       8:{1,4,6}:{(2,1),(13,1),(15,1),(37,1)}
       9:{2,3,6}:{(3,1),(5,1),(16,1),(17,1),(22,1),(33,1)}
      10:{1,3,5}:{(3,1),(4,1),(17,1),(18,1),(40,1),(43,1)}
      11:{1,4,6}:{(5,1),(16,1),(19,1),(30,1)}
      12:{2,5}:{(5,1),(6,1),(19,1)}
      13:{1,4,5}:{(6,1),(8,1),(18,1),(20,1),(40,1)}
      14:{1,5,6}:{(7,1),(19,1),(21,1)}
      15:{2,4,6}:{(7,1),(8,1),(20,1),(21,1),(22,1),(33,1)}
      16:{1,3,6}:{(9,1),(11,1),(23,1),(24,1)}
      17:{2,3,5}:{(9,1),(10,1),(12,1),(24,1),(25,1),(27,1),(36,1),(41,1)}
      18:{1,4}:{(10,1),(25,1)}
      19:{1,5}:{(11,1),(12,1)}
      20:{2,4,5}:{(12,1),(13,1),(15,1),(25,1),(26,1),(27,1),(36,1)}
      21:{1,4,6}:{(14,1),(15,1),(26,1),(28,1)}
      22:{3,6}:{(15,1),(27,1)}
      23:{1,2,6}:{(16,1),(29,1),(33,1)}
      24:{1,3,5}:{(16,1),(17,1),(19,1),(29,1),(30,1),(38,1)}
      25:{2,4}:{(17,1),(18,1),(30,1),(31,1)}
      26:{1,4,5}:{(19,1),(20,1),(21,1),(30,1),(32,1)}
      27:{3,5}:{(20,1),(22,1),(31,1)}
      28:{1,3,6}:{(21,1),(22,1),(32,1),(33,1)}
      29:{1,2,5}:{(23,1),(24,1),(34,1),(36,1)}
      30:{1,4}:{(24,1),(25,1)}
      31:{3,4}:{(25,1),(27,1)}
      32:{1,3,5}:{(26,1),(27,1),(28,1),(35,1),(36,1)}
      33:{2,6}:{(28,1),(36,1),(37,1)}
      34:{1,2,4}:{(29,1),(30,1),(38,1),(39,1)}
      35:{1,3,4}:{(30,1),(31,1),(32,1),(38,1),(39,1)}
      36:{2,5}:{(32,1),(33,1),(39,1),(40,1)}
      37:{1,6}:{(33,1),(40,1)}
      38:{1,3}:{(34,1),(41,1)}
      39:{2,4}:{(35,1),(36,1),(41,1),(42,1)}
      40:{1,5}:{(36,1),(37,1),(42,1)}
      41:{2,3}:{(38,1),(39,1),(43,1)}
      42:{1,4}:{(39,1),(40,1),(43,1)}
      43:{1,3}:{(41,1),(42,1),(44,1)}
      44:{1,2}:{(43,1)}

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

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

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

517 :  0:{1,2,3,5,6}:{(1,1),(5,1),(12,1),(54,1),(57,1),(60,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(17,1),(68,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(13,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1),(57,1),(61,1)}
       4:{1,2,4,5,6}:{(2,1),(7,1),(17,1),(31,1),(46,1),(48,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(10,1),(17,1),(49,1),(53,1)}
       7:{1,3,5,6}:{(4,1),(5,1),(11,1),(12,1),(57,1)}
       8:{1,3,4,5}:{(5,1),(11,1),(13,1)}
       9:{2,3,5}:{(5,1),(6,1),(13,1),(14,1)}
      10:{1,3,4,6}:{(6,1),(14,1),(15,1),(25,1),(41,1),(45,1)}
      11:{1,3,4,6}:{(7,1),(8,1),(17,1)}
      12:{2,3,5,6}:{(7,1),(9,1),(17,1),(18,1),(46,1),(49,1)}
      13:{2,4,5}:{(8,1),(9,1),(17,1),(20,1)}
      14:{1,3,5}:{(9,1),(10,1),(20,1),(21,1)}
      15:{1,2,4,6}:{(10,1),(21,1),(22,1),(37,1)}
      16:{1,3,4,5,6}:{(11,1),(23,1),(38,1),(56,1)}
      17:{2,4,6}:{(11,1),(12,1),(13,1),(25,1)}
      18:{1,3,5,6}:{(12,1),(14,1),(25,1),(26,1),(41,1)}
      19:{2,3,4,5}:{(13,1),(24,1),(27,1),(44,1),(70,1)}
      20:{1,4,5}:{(13,1),(14,1),(25,1)}
      21:{1,2,5}:{(14,1),(15,1)}
      22:{1,2,3,6}:{(15,1),(29,1),(41,1)}
      23:{2,4,5,6}:{(16,1),(17,1),(30,1),(31,1),(46,1),(63,1)}
      24:{2,3,4,6}:{(17,1),(19,1),(30,1),(32,1),(49,1),(63,1)}
      25:{1,4,6}:{(17,1),(18,1),(20,1)}
      26:{1,2,5,6}:{(18,1),(21,1),(33,1),(46,1)}
      27:{1,3,4,5}:{(19,1),(20,1),(32,1),(35,1),(36,1),(52,1),(73,1)}
      28:{1,2,4,5}:{(20,1),(21,1),(33,1),(35,1),(36,1),(37,1)}
      29:{1,2,3,5}:{(21,1),(22,1),(36,1),(37,1)}
      30:{2,3,5,6}:{(23,1),(24,1),(38,1)}
      31:{1,4,5,6}:{(23,1),(25,1),(38,1),(69,1)}
      32:{1,3,4,6}:{(24,1),(25,1),(27,1),(38,1),(40,1),(41,1),(57,1),(69,1)}
      33:{1,2,4,6}:{(25,1),(26,1),(28,1),(40,1),(41,1)}
      34:{1,2,3,5,6}:{(26,1),(29,1),(41,1),(42,1),(55,1),(59,1)}
      35:{2,4,5}:{(27,1),(40,1),(44,1)}
      36:{1,3,5}:{(28,1),(41,1),(44,1),(45,1)}
      37:{1,2,4}:{(29,1),(45,1)}
      38:{1,3,5,6}:{(30,1),(31,1),(32,1),(46,1)}
      39:{1,2,4,5,6}:{(31,1),(33,1),(46,1),(47,1),(51,1),(63,1)}
      40:{2,4,6}:{(32,1),(35,1),(46,1),(49,1)}
      41:{1,3,6}:{(33,1),(36,1),(49,1)}
      42:{1,2,4,6}:{(34,1),(37,1),(50,1),(51,1),(63,1)}
      43:{1,2,4,5}:{(35,1),(48,1),(52,1),(68,1),(73,1),(74,1)}
      44:{2,3,5}:{(35,1),(36,1),(49,1),(52,1),(53,1)}
      45:{1,3,4}:{(36,1),(37,1),(53,1)}
      46:{2,5,6}:{(38,1),(40,1)}
      47:{1,3,5,6}:{(39,1),(41,1),(55,1),(56,1),(59,1)}
      48:{1,2,4,6}:{(40,1),(43,1),(54,1),(57,1),(69,1)}
      49:{2,3,6}:{(40,1),(41,1),(44,1),(57,1)}
      50:{1,3,4,6}:{(41,1),(42,1),(45,1),(58,1),(59,1)}
      51:{1,2,4,5}:{(42,1),(59,1),(70,1)}
      52:{1,3,5}:{(43,1),(44,1),(57,1),(61,1)}
      53:{2,3,4}:{(44,1),(45,1),(61,1)}
      54:{1,2,5,6}:{(46,1),(48,1),(62,1),(74,1)}
      55:{2,3,5,6}:{(46,1),(47,1),(49,1),(62,1),(63,1),(67,1)}
      56:{1,3,4,6}:{(47,1),(63,1),(64,1)}
      57:{1,3,6}:{(48,1),(49,1),(52,1)}
      58:{2,3,4,6}:{(49,1),(50,1),(53,1),(63,1),(66,1),(67,1)}
      59:{1,3,5}:{(50,1),(51,1),(67,1)}
      60:{1,2,3,5}:{(52,1),(65,1),(68,1),(74,1)}
      61:{1,3,4}:{(52,1),(53,1),(68,1)}
      62:{1,3,5,6}:{(54,1),(55,1),(57,1),(69,1),(72,1)}
      63:{2,4,6}:{(55,1),(56,1),(69,1),(70,1)}
      64:{1,3,4,5}:{(56,1),(59,1),(70,1)}
      65:{1,2,3,6}:{(57,1),(60,1),(71,1)}
      66:{1,3,4,6}:{(57,1),(58,1),(61,1),(69,1),(71,1),(72,1)}
      67:{2,3,5}:{(58,1),(59,1),(70,1),(72,1)}
      68:{1,2,4}:{(60,1),(61,1)}
      69:{1,4,6}:{(62,1),(63,1),(73,1)}
      70:{2,4,5}:{(63,1),(64,1),(67,1),(73,1)}
      71:{1,2,4,6}:{(65,1),(66,1),(68,1),(74,1)}
      72:{1,3,5}:{(66,1),(67,1),(73,1),(74,1)}
      73:{1,4,5}:{(69,1),(70,1),(72,1)}
      74:{1,2,5}:{(71,1),(72,1)}

518 :  0:{1,2,3,5}:{(1,1),(2,1),(8,1),(9,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(17,1),(66,1)}
       2:{1,2,4}:{(0,1),(3,1)}
       3:{1,3,4}:{(2,1),(6,1),(8,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(7,1),(9,1),(73,1),(80,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(9,1),(10,1),(19,1),(27,1)}
       6:{2,3,4}:{(3,1),(13,1),(15,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(14,1),(16,1),(17,1),(39,1),(67,1),(79,1)}
       8:{1,3,5}:{(3,1),(5,1),(15,1),(17,1)}
       9:{1,2,5}:{(4,1),(16,1)}
      10:{1,2,4,6}:{(5,1),(17,1),(18,1),(30,1),(39,1)}
      11:{1,3,4,5}:{(8,1),(19,1),(20,1),(27,1),(48,1)}
      12:{1,2,3}:{(22,1)}
      13:{1,3,4}:{(6,1),(22,1),(24,1)}
      14:{2,3,4,6}:{(6,1),(7,1),(23,1),(25,1),(26,1),(49,1),(60,1),(75,1)}
      15:{2,3,5}:{(6,1),(8,1),(19,1),(24,1),(26,1)}
      16:{1,3,5}:{(7,1),(9,1),(25,1),(27,1)}
      17:{1,3,6}:{(8,1),(10,1),(26,1)}
      18:{1,2,5,6}:{(9,1),(10,1),(28,1),(41,1),(80,1)}
      19:{2,4,5}:{(11,1),(15,1),(29,1),(30,1)}
      20:{1,3,4,6}:{(11,1),(17,1),(30,1),(31,1),(39,1),(57,1)}
      21:{1,2,3,6}:{(12,1),(32,1),(33,1),(69,1)}
      22:{1,2,4}:{(12,1),(13,1),(34,1)}
      23:{1,3,4,6}:{(13,1),(14,1),(33,1),(35,1),(36,1),(52,1),(56,1),(69,1)}
      24:{1,3,5}:{(13,1),(15,1),(29,1),(34,1),(36,1)}
      25:{2,3,5}:{(14,1),(16,1),(35,1),(37,1)}
      26:{2,3,6}:{(15,1),(17,1),(30,1),(36,1)}
      27:{1,4,5}:{(16,1),(37,1),(39,1)}
      28:{1,3,5,6}:{(16,1),(17,1),(18,1),(38,1),(39,1),(77,1),(79,1)}
      29:{1,4,5}:{(19,1),(24,1),(40,1)}
      30:{2,4,6}:{(19,1),(20,1),(26,1),(40,1),(41,1)}
      31:{1,3,5,6}:{(20,1),(41,1),(42,1),(59,1)}
      32:{1,2,3,5}:{(21,1),(43,1),(44,1),(61,1)}
      33:{1,2,4,6}:{(21,1),(22,1),(23,1),(43,1),(44,1),(45,1)}
      34:{1,2,5}:{(22,1),(24,1),(45,1)}
      35:{1,3,5}:{(23,1),(25,1),(44,1),(46,1)}
      36:{1,3,6}:{(24,1),(26,1),(40,1),(45,1)}
      37:{2,4,5}:{(25,1),(27,1),(46,1),(48,1),(49,1)}
      38:{2,3,5,6}:{(25,1),(26,1),(28,1),(41,1),(47,1),(49,1),(59,1),(72,1),(75,1)}
      39:{1,4,6}:{(27,1),(28,1),(49,1)}
      40:{1,4,6}:{(29,1),(30,1),(36,1),(50,1)}
      41:{2,5,6}:{(30,1),(31,1),(50,1)}
      42:{1,4,5,6}:{(31,1),(39,1),(51,1),(77,1)}
      43:{1,2,4}:{(32,1),(52,1)}
      44:{1,2,5}:{(33,1),(35,1)}
      45:{1,2,6}:{(34,1),(36,1)}
      46:{1,4,5}:{(35,1),(37,1),(56,1)}
      47:{1,3,5,6}:{(35,1),(36,1),(38,1),(50,1),(54,1),(56,1),(69,1)}
      48:{3,4,5}:{(37,1),(57,1)}
      49:{2,4,6}:{(37,1),(38,1),(39,1),(56,1),(57,1)}
      50:{1,5,6}:{(40,1),(41,1)}
      51:{2,4,5,6}:{(41,1),(42,1),(49,1),(58,1),(59,1),(72,1)}
      52:{1,3,4}:{(43,1),(60,1),(61,1)}
      53:{1,2,4,5}:{(43,1),(44,1),(46,1),(61,1),(62,1),(63,1)}
      54:{1,2,5,6}:{(44,1),(45,1),(47,1),(62,1),(72,1)}
      55:{1,3,4,5}:{(46,1),(48,1),(61,1),(63,1),(64,1)}
      56:{1,4,6}:{(46,1),(47,1),(49,1)}
      57:{3,4,6}:{(48,1),(49,1),(59,1)}
      58:{1,4,5,6}:{(50,1),(51,1),(56,1),(65,1)}
      59:{3,5,6}:{(51,1),(57,1)}
      60:{2,3,4}:{(52,1),(67,1),(68,1)}
      61:{1,3,5}:{(52,1),(53,1),(68,1),(69,1)}
      62:{1,2,4,6}:{(53,1),(54,1),(56,1),(69,1),(71,1)}
      63:{2,4,5}:{(55,1),(68,1),(70,1),(71,1)}
      64:{1,3,4,6}:{(55,1),(56,1),(57,1),(65,1),(69,1),(71,1)}
      65:{1,3,5,6}:{(58,1),(59,1),(64,1),(72,1)}
      66:{1,2,3}:{(73,1)}
      67:{1,3,4}:{(60,1),(73,1),(74,1)}
      68:{2,3,5}:{(60,1),(61,1),(63,1),(74,1),(75,1)}
      69:{1,3,6}:{(61,1),(62,1),(75,1)}
      70:{1,4,5}:{(63,1),(74,1),(76,1)}
      71:{2,4,6}:{(63,1),(64,1),(72,1),(75,1),(76,1)}
      72:{2,5,6}:{(65,1),(71,1),(77,1)}
      73:{1,2,4}:{(66,1),(67,1),(78,1)}
      74:{1,3,5}:{(67,1),(68,1),(70,1),(78,1),(79,1)}
      75:{2,3,6}:{(68,1),(69,1),(71,1),(79,1)}
      76:{1,4,6}:{(70,1),(71,1),(77,1),(79,1)}
      77:{1,5,6}:{(72,1),(76,1)}
      78:{1,2,5}:{(73,1),(74,1),(80,1)}
      79:{1,3,6}:{(74,1),(75,1),(76,1),(80,1)}
      80:{1,2,6}:{(78,1),(79,1)}

519 :  0:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1)}
       1:{1,2,5}:{(0,1),(5,1),(17,1),(27,1)}
       2:{1,3,6}:{(0,1),(4,1),(5,1),(44,1)}
       3:{1,2,6}:{(7,1),(8,1),(43,1)}
       4:{2,3,6}:{(2,1),(8,1),(9,1),(10,1),(38,1),(43,1)}
       5:{1,3,5}:{(1,1),(2,1),(9,1),(11,1),(34,1),(42,1)}
       6:{1,3,4,6}:{(2,1),(10,1),(11,1),(12,1),(23,1),(26,1),(38,1)}
       7:{1,2,5}:{(3,1),(13,1),(14,1),(40,1)}
       8:{1,3,6}:{(3,1),(4,1),(14,1),(15,1)}
       9:{2,3,5}:{(4,1),(5,1),(14,1),(16,1),(17,1),(28,1),(32,1),(40,1)}
      10:{2,4,6}:{(4,1),(6,1),(15,1),(16,1),(17,1)}
      11:{1,4}:{(5,1),(16,1)}
      12:{1,3,5}:{(6,1),(17,1),(18,1),(32,1)}
      13:{1,2,4}:{(7,1),(20,1),(21,1),(35,1)}
      14:{1,3,5}:{(7,1),(8,1),(9,1),(20,1),(21,1),(22,1)}
      15:{1,4,6}:{(8,1),(10,1),(21,1),(22,1)}
      16:{2,4}:{(9,1),(11,1),(21,1),(23,1)}
      17:{2,5}:{(10,1),(12,1),(22,1)}
      18:{1,4,5}:{(11,1),(12,1),(24,1),(26,1),(42,1)}
      19:{1,3,5,6}:{(12,1),(25,1),(26,1),(38,1)}
      20:{1,3}:{(13,1),(28,1)}
      21:{1,4}:{(14,1),(16,1)}
      22:{1,5}:{(15,1),(17,1)}
      23:{3,4}:{(16,1),(32,1)}
      24:{2,4,5}:{(16,1),(17,1),(18,1),(30,1),(32,1),(33,1),(40,1)}
      25:{2,5,6}:{(17,1),(19,1),(31,1),(33,1)}
      26:{1,4,6}:{(18,1),(19,1),(33,1),(44,1)}
      27:{1,2}:{(34,1)}
      28:{2,3}:{(20,1),(34,1),(35,1)}
      29:{1,3,4}:{(20,1),(21,1),(23,1),(35,1),(36,1)}
      30:{1,4,5}:{(21,1),(22,1),(24,1),(36,1),(37,1)}
      31:{1,5,6}:{(22,1),(25,1),(37,1)}
      32:{3,5}:{(23,1),(24,1),(38,1)}
      33:{2,4,6}:{(24,1),(25,1),(26,1),(37,1),(38,1),(43,1)}
      34:{1,3}:{(27,1),(28,1),(39,1)}
      35:{2,4}:{(28,1),(29,1),(39,1),(40,1)}
      36:{1,3,5}:{(29,1),(30,1),(32,1),(40,1),(41,1)}
      37:{1,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{3,6}:{(32,1),(33,1)}
      39:{1,4}:{(34,1),(35,1),(42,1)}
      40:{2,5}:{(35,1),(36,1),(42,1),(43,1)}
      41:{1,3,6}:{(36,1),(37,1),(38,1),(43,1)}
      42:{1,5}:{(39,1),(40,1),(44,1)}
      43:{2,6}:{(40,1),(41,1),(44,1)}
      44:{1,6}:{(42,1),(43,1)}

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

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

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

523 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(43,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(25,1),(38,1)}
       2:{1,3,4,5}:{(0,1),(5,1),(6,1),(13,1),(40,1),(41,1)}
       3:{3,4,5,6}:{(8,1),(42,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(20,1),(34,1),(36,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,5}:{(6,1),(12,1),(13,1),(26,1),(39,1),(40,1)}
       8:{2,4,5,6}:{(3,1),(4,1),(14,1),(38,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(29,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{2,3,5}:{(6,1),(13,1),(16,1),(17,1)}
      12:{1,2,4,6}:{(7,1),(10,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,3,5}:{(7,1),(11,1),(18,1),(20,1),(21,1)}
      14:{1,4,5,6}:{(8,1),(9,1),(22,1),(34,1)}
      15:{2,5,6}:{(9,1),(10,1)}
      16:{2,3,6}:{(10,1),(11,1),(20,1)}
      17:{2,3,4}:{(11,1),(21,1)}
      18:{2,3,5}:{(13,1),(25,1),(26,1),(39,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(27,1),(39,1)}
      20:{1,3,6}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,3,4}:{(13,1),(17,1),(26,1)}
      22:{2,4,5,6}:{(14,1),(15,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(27,1),(29,1),(30,1),(31,1)}
      24:{2,3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1)}
      25:{2,3,6}:{(18,1),(20,1),(33,1)}
      26:{2,4}:{(18,1),(21,1)}
      27:{1,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1)}
      28:{1,3,4,6}:{(20,1),(21,1),(24,1),(33,1),(34,1),(35,1),(42,1)}
      29:{3,5,6}:{(22,1),(36,1)}
      30:{2,4,6}:{(23,1),(34,1),(36,1),(37,1)}
      31:{2,3,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(38,1),(39,1),(44,1)}
      33:{2,4,6}:{(25,1),(26,1),(28,1),(39,1)}
      34:{1,4,6}:{(27,1),(30,1),(38,1),(40,1)}
      35:{1,3,5}:{(28,1),(31,1),(39,1),(40,1),(44,1)}
      36:{3,4,6}:{(29,1),(30,1),(41,1)}
      37:{2,4,5}:{(30,1),(31,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(34,1),(42,1),(43,1)}
      39:{2,5}:{(33,1),(35,1)}
      40:{1,4,5}:{(34,1),(35,1),(37,1),(43,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{3,4,6}:{(38,1),(44,1)}
      43:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

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

525 :  0:{1,3,4,5,6}:{(2,1),(6,1),(9,1)}
       1:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(15,1),(24,1),(25,1),(33,1)}
       2:{2,4,5,6}:{(0,1),(4,1),(5,1),(11,1),(15,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(7,1),(28,1),(31,1)}
       4:{2,3,5,6}:{(2,1),(8,1),(9,1)}
       5:{1,4,5,6}:{(2,1),(9,1),(18,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(11,1)}
       7:{2,3,5,6}:{(3,1),(11,1),(12,1),(15,1),(22,1),(27,1),(33,1),(34,1)}
       8:{2,3,4,6}:{(4,1),(11,1),(13,1),(14,1),(34,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1)}
      10:{1,3,4,5}:{(6,1),(17,1),(28,1)}
      11:{2,4,6}:{(6,1),(7,1),(17,1),(18,1)}
      12:{1,3,5,6}:{(7,1),(18,1),(19,1),(28,1),(31,1)}
      13:{2,3,4,5}:{(8,1),(17,1),(20,1),(37,1)}
      14:{1,3,4,6}:{(8,1),(9,1),(18,1),(20,1),(21,1),(31,1)}
      15:{2,5,6}:{(9,1),(21,1)}
      16:{2,3,4,6}:{(11,1),(22,1),(23,1),(27,1),(36,1)}
      17:{2,4,5}:{(10,1),(11,1),(22,1),(24,1),(33,1)}
      18:{1,4,6}:{(11,1),(12,1),(24,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(25,1),(33,1)}
      20:{1,3,4,5}:{(13,1),(14,1),(24,1),(26,1),(35,1)}
      21:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      22:{2,3,5}:{(16,1),(17,1),(28,1)}
      23:{1,3,4,6}:{(16,1),(18,1),(28,1),(29,1),(31,1),(38,1)}
      24:{1,4,5}:{(17,1),(18,1),(28,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(29,1),(30,1),(31,1)}
      26:{2,4,5}:{(20,1),(21,1),(32,1)}
      27:{2,3,6}:{(21,1),(31,1),(32,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(33,1)}
      29:{2,4,6}:{(23,1),(33,1),(34,1),(39,1)}
      30:{1,2,4,5}:{(24,1),(25,1),(26,1),(33,1),(35,1),(39,1)}
      31:{1,3,6}:{(25,1),(27,1),(34,1),(35,1)}
      32:{2,3,5}:{(26,1),(27,1),(35,1),(36,1)}
      33:{2,5}:{(28,1),(29,1)}
      34:{2,3,6}:{(29,1),(31,1),(37,1)}
      35:{1,3,5}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{2,3,4}:{(32,1),(38,1)}
      37:{2,3,5}:{(33,1),(34,1),(35,1),(39,1)}
      38:{1,3,4}:{(35,1),(36,1),(39,1)}
      39:{2,4}:{(37,1),(38,1)}

526 :  0:{2,3,4,5,6}:{(1,1),(7,1),(25,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(28,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(31,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(11,1),(19,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(27,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
       6:{2,3,4,6}:{(4,1),(8,1),(9,1)}
       7:{2,3,5,6}:{(5,1),(11,1),(20,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(11,1),(12,1)}
       9:{2,3,4,5}:{(6,1),(12,1),(27,1)}
      10:{1,2,3,5,6}:{(7,1),(14,1),(23,1),(32,1)}
      11:{2,4,6}:{(7,1),(8,1),(16,1)}
      12:{1,3,4,5}:{(8,1),(9,1),(16,1),(23,1)}
      13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
      15:{2,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(20,1)}
      17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
      18:{1,3,4,6}:{(14,1),(15,1),(22,1),(23,1)}
      19:{1,2,4,5}:{(14,1),(16,1),(23,1),(31,1)}
      20:{2,3,5}:{(15,1),(16,1),(23,1)}
      21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
      22:{2,3,4,6}:{(18,1),(27,1),(34,1)}
      23:{1,3,5}:{(18,1),(19,1),(20,1),(27,1)}
      24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
      25:{2,3,4,5}:{(20,1),(28,1),(30,1)}
      26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
      27:{2,3,5}:{(22,1),(23,1),(31,1)}
      28:{1,3,4,5}:{(23,1),(25,1),(31,1),(33,1)}
      29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
      30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
      31:{2,4,5}:{(27,1),(28,1),(34,1)}
      32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,6}:{(31,1),(32,1),(33,1)}

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

528 :  0:{1,2,3,5,6}:{(1,1),(5,1),(17,1),(28,1),(66,1),(70,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(23,1),(40,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1),(51,1),(70,1)}
       3:{1,2,4,5}:{(1,1),(5,1),(13,1)}
       4:{2,3,4,6}:{(2,1),(9,1),(10,1),(23,1),(41,1),(64,1)}
       5:{1,3,5}:{(2,1),(3,1),(10,1)}
       6:{1,2,4,5,6}:{(3,1),(11,1),(23,1),(39,1),(59,1),(63,1)}
       7:{1,3,4,5}:{(5,1),(13,1),(14,1)}
       8:{1,2,3,6}:{(12,1),(15,1),(55,1)}
       9:{1,3,4,6}:{(4,1),(15,1),(16,1),(31,1),(33,1),(55,1)}
      10:{2,3,5}:{(4,1),(5,1),(13,1),(16,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(14,1),(17,1),(70,1)}
      12:{1,2,3,5}:{(8,1),(21,1),(24,1),(44,1)}
      13:{2,4,5}:{(7,1),(10,1),(22,1),(23,1)}
      14:{1,3,4,6}:{(7,1),(11,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(21,1),(24,1)}
      16:{1,3,5}:{(9,1),(10,1),(22,1),(24,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(23,1),(25,1),(59,1),(64,1)}
      18:{1,2,3,5,6}:{(12,1),(26,1),(34,1),(49,1),(55,1),(68,1)}
      19:{1,3,4,5,6}:{(14,1),(27,1),(48,1),(69,1)}
      20:{2,3,4,5}:{(13,1),(29,1),(30,1),(53,1),(67,1)}
      21:{1,2,4}:{(12,1),(31,1)}
      22:{1,4,5}:{(13,1),(16,1),(33,1)}
      23:{2,4,6}:{(13,1),(14,1),(17,1),(33,1)}
      24:{1,2,5}:{(15,1),(16,1)}
      25:{1,3,5,6}:{(16,1),(17,1),(33,1),(34,1),(55,1)}
      26:{1,2,4,6}:{(18,1),(21,1),(37,1),(38,1),(73,1)}
      27:{2,4,5,6}:{(19,1),(23,1),(36,1),(39,1),(59,1),(73,1)}
      28:{1,2,3,5}:{(35,1),(40,1),(57,1),(62,1)}
      29:{1,3,4,5}:{(20,1),(22,1),(42,1),(43,1),(44,1),(62,1),(71,1)}
      30:{2,3,4,6}:{(20,1),(23,1),(36,1),(43,1),(64,1),(73,1)}
      31:{1,3,4}:{(21,1),(41,1),(44,1)}
      32:{1,2,4,5}:{(21,1),(22,1),(24,1),(42,1),(44,1),(45,1)}
      33:{1,4,6}:{(22,1),(23,1),(25,1)}
      34:{1,2,5,6}:{(24,1),(25,1),(45,1),(59,1)}
      35:{1,2,3,6}:{(28,1),(46,1),(70,1)}
      36:{2,3,5,6}:{(27,1),(30,1),(48,1)}
      37:{1,3,4,6}:{(26,1),(31,1),(47,1),(49,1),(55,1)}
      38:{1,2,4,5}:{(26,1),(49,1),(67,1)}
      39:{1,4,5,6}:{(27,1),(33,1),(48,1),(74,1)}
      40:{1,2,4}:{(28,1),(51,1)}
      41:{2,3,4}:{(31,1),(51,1),(53,1)}
      42:{2,4,5}:{(29,1),(53,1),(54,1)}
      43:{1,3,4,6}:{(29,1),(30,1),(33,1),(48,1),(54,1),(55,1),(70,1),(74,1)}
      44:{1,3,5}:{(31,1),(32,1),(53,1),(55,1)}
      45:{1,2,4,6}:{(32,1),(33,1),(34,1),(54,1),(55,1)}
      46:{1,2,4,6}:{(35,1),(40,1),(56,1),(57,1)}
      47:{2,3,4,6}:{(37,1),(41,1),(56,1),(58,1),(64,1),(73,1)}
      48:{1,3,5,6}:{(36,1),(39,1),(43,1),(59,1)}
      49:{1,3,5}:{(37,1),(38,1),(58,1)}
      50:{1,2,4,5,6}:{(38,1),(39,1),(45,1),(59,1),(61,1),(73,1)}
      51:{1,3,4}:{(40,1),(41,1),(62,1)}
      52:{1,2,4,5}:{(40,1),(42,1),(57,1),(62,1),(63,1),(71,1)}
      53:{2,3,5}:{(41,1),(42,1),(44,1),(62,1),(64,1)}
      54:{2,4,6}:{(42,1),(43,1),(59,1),(64,1)}
      55:{1,3,6}:{(44,1),(45,1),(64,1)}
      56:{1,3,4,6}:{(46,1),(47,1),(51,1),(65,1),(70,1),(74,1)}
      57:{1,2,5}:{(46,1),(65,1)}
      58:{2,3,5}:{(47,1),(49,1),(65,1),(67,1)}
      59:{2,5,6}:{(48,1),(54,1)}
      60:{1,3,4,5}:{(49,1),(67,1),(69,1)}
      61:{1,3,5,6}:{(49,1),(50,1),(55,1),(68,1),(69,1)}
      62:{1,3,5}:{(51,1),(52,1),(53,1),(70,1)}
      63:{1,2,4,6}:{(52,1),(54,1),(66,1),(70,1),(74,1)}
      64:{2,3,6}:{(53,1),(54,1),(55,1),(70,1)}
      65:{1,3,5}:{(56,1),(57,1),(58,1),(71,1)}
      66:{1,2,5,6}:{(57,1),(59,1),(63,1),(72,1)}
      67:{2,4,5}:{(58,1),(60,1),(71,1),(73,1)}
      68:{2,3,5,6}:{(58,1),(59,1),(61,1),(64,1),(72,1),(73,1)}
      69:{1,3,4,6}:{(60,1),(61,1),(73,1)}
      70:{1,3,6}:{(62,1),(63,1),(64,1)}
      71:{1,4,5}:{(65,1),(67,1),(74,1)}
      72:{1,3,5,6}:{(65,1),(66,1),(68,1),(70,1),(74,1)}
      73:{2,4,6}:{(67,1),(68,1),(69,1),(74,1)}
      74:{1,4,6}:{(71,1),(72,1),(73,1)}

529 :  0:{1,3,4,5,6}:{(1,1),(7,1),(18,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(24,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(28,1),(31,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(24,1),(32,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(21,1),(36,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1)}
       8:{1,2,4,5,6}:{(4,1),(11,1),(12,1),(19,1),(24,1),(36,1),(39,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(13,1),(26,1),(30,1)}
      10:{2,4,5}:{(6,1),(13,1),(15,1)}
      11:{2,5,6}:{(7,1),(13,1)}
      12:{1,3,5,6}:{(8,1),(17,1),(18,1),(26,1),(38,1)}
      13:{2,4,6}:{(9,1),(10,1),(11,1),(20,1)}
      14:{1,2,4,5}:{(10,1),(19,1),(21,1),(35,1),(36,1),(39,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(39,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(20,1),(23,1),(24,1),(32,1),(34,1),(39,1)}
      18:{1,3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(26,1),(30,1),(37,1)}
      20:{2,3,6}:{(13,1),(15,1),(26,1)}
      21:{1,3,5}:{(14,1),(15,1),(26,1),(28,1),(29,1)}
      22:{2,3,4}:{(15,1),(29,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(26,1),(30,1),(38,1)}
      24:{2,4,6}:{(17,1),(18,1),(30,1),(31,1)}
      25:{1,3,4,5}:{(18,1),(31,1),(38,1)}
      26:{1,3,6}:{(19,1),(20,1),(21,1),(32,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(24,1),(33,1),(34,1)}
      28:{2,3,5}:{(21,1),(32,1),(35,1),(39,1)}
      29:{1,3,4}:{(21,1),(22,1),(35,1)}
      30:{1,4,6}:{(23,1),(24,1),(36,1)}
      31:{2,4,5}:{(24,1),(25,1),(34,1),(36,1),(39,1)}
      32:{2,3,6}:{(26,1),(28,1),(37,1)}
      33:{1,3,4,6}:{(26,1),(27,1),(29,1),(30,1),(37,1),(38,1)}
      34:{2,3,5}:{(27,1),(31,1),(38,1)}
      35:{2,4}:{(28,1),(29,1)}
      36:{1,4,5}:{(30,1),(31,1),(38,1)}
      37:{2,4,6}:{(32,1),(33,1),(35,1),(39,1)}
      38:{1,3,5}:{(33,1),(34,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

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

531 :  0:{1,2,3,5}:{(1,1),(2,1),(11,1),(12,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(23,1),(35,1)}
       2:{1,2,4}:{(0,1),(5,1)}
       3:{1,2,3}:{(8,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(47,1),(68,1)}
       5:{1,3,4}:{(2,1),(9,1),(12,1)}
       6:{1,2,4,5}:{(2,1),(11,1),(12,1),(13,1),(30,1),(32,1)}
       7:{1,2,3,6}:{(3,1),(14,1),(15,1),(62,1)}
       8:{1,2,4}:{(3,1),(16,1),(17,1)}
       9:{2,3,4}:{(5,1),(16,1),(19,1)}
      10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(45,1),(58,1),(75,1)}
      11:{1,2,5}:{(4,1),(20,1)}
      12:{1,3,5}:{(5,1),(6,1),(19,1),(23,1)}
      13:{1,2,4,6}:{(6,1),(21,1),(23,1),(44,1),(45,1)}
      14:{1,2,3,5}:{(7,1),(24,1),(26,1),(49,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(26,1),(28,1)}
      16:{1,3,4}:{(8,1),(9,1),(27,1)}
      17:{1,2,5}:{(8,1),(27,1),(28,1)}
      18:{2,3,4,6}:{(9,1),(10,1),(25,1),(29,1),(31,1),(48,1),(55,1),(70,1)}
      19:{2,3,5}:{(9,1),(12,1),(27,1),(30,1),(31,1)}
      20:{1,3,5}:{(10,1),(11,1),(29,1),(32,1)}
      21:{1,2,5,6}:{(11,1),(13,1),(33,1),(56,1),(68,1)}
      22:{1,3,4,5}:{(12,1),(30,1),(32,1),(34,1),(54,1)}
      23:{1,3,6}:{(12,1),(13,1),(31,1)}
      24:{1,2,4}:{(14,1),(36,1)}
      25:{1,3,4,6}:{(15,1),(16,1),(18,1),(36,1),(38,1),(41,1),(62,1),(63,1)}
      26:{1,2,5}:{(15,1),(38,1)}
      27:{1,3,5}:{(16,1),(17,1),(19,1),(40,1),(41,1)}
      28:{1,2,6}:{(17,1),(41,1)}
      29:{2,3,5}:{(18,1),(20,1),(38,1),(42,1)}
      30:{2,4,5}:{(19,1),(22,1),(40,1),(44,1)}
      31:{2,3,6}:{(19,1),(23,1),(41,1),(44,1)}
      32:{1,4,5}:{(20,1),(42,1),(45,1)}
      33:{1,3,5,6}:{(20,1),(21,1),(23,1),(43,1),(45,1),(75,1),(80,1)}
      34:{1,3,4,6}:{(22,1),(23,1),(44,1),(45,1),(46,1),(65,1)}
      35:{1,2,3}:{(47,1)}
      36:{1,3,4}:{(24,1),(48,1),(49,1)}
      37:{1,2,4,5}:{(24,1),(26,1),(49,1),(50,1),(51,1),(69,1)}
      38:{1,3,5}:{(25,1),(26,1),(29,1),(51,1)}
      39:{1,2,5,6}:{(26,1),(28,1),(50,1),(52,1),(79,1)}
      40:{1,4,5}:{(27,1),(30,1),(53,1)}
      41:{1,3,6}:{(27,1),(28,1),(31,1),(53,1)}
      42:{2,4,5}:{(29,1),(32,1),(51,1),(54,1),(55,1)}
      43:{2,3,5,6}:{(29,1),(31,1),(33,1),(52,1),(55,1),(56,1),(70,1),(73,1),(79,1)}
      44:{2,4,6}:{(30,1),(31,1),(34,1),(53,1),(56,1)}
      45:{1,4,6}:{(32,1),(33,1),(55,1)}
      46:{1,3,5,6}:{(34,1),(56,1),(57,1),(73,1)}
      47:{1,2,4}:{(35,1),(58,1),(59,1)}
      48:{2,3,4}:{(36,1),(58,1),(60,1)}
      49:{1,3,5}:{(36,1),(37,1),(60,1),(62,1)}
      50:{1,2,4,6}:{(37,1),(39,1),(62,1),(63,1),(76,1)}
      51:{1,4,5}:{(38,1),(42,1),(63,1)}
      52:{1,3,5,6}:{(38,1),(39,1),(41,1),(43,1),(62,1),(63,1),(64,1)}
      53:{1,4,6}:{(40,1),(41,1),(44,1),(64,1)}
      54:{3,4,5}:{(42,1),(65,1)}
      55:{2,4,6}:{(42,1),(43,1),(45,1),(63,1),(65,1)}
      56:{2,5,6}:{(44,1),(46,1),(64,1)}
      57:{1,4,5,6}:{(45,1),(46,1),(66,1),(80,1)}
      58:{1,3,4}:{(47,1),(48,1),(67,1)}
      59:{1,2,5}:{(47,1),(67,1),(68,1)}
      60:{2,3,5}:{(48,1),(49,1),(67,1),(69,1),(70,1)}
      61:{1,3,4,5}:{(49,1),(51,1),(54,1),(69,1),(71,1)}
      62:{1,3,6}:{(49,1),(50,1),(70,1)}
      63:{1,4,6}:{(51,1),(52,1),(55,1)}
      64:{1,5,6}:{(53,1),(56,1)}
      65:{3,4,6}:{(54,1),(55,1),(73,1)}
      66:{2,4,5,6}:{(55,1),(56,1),(57,1),(72,1),(73,1),(79,1)}
      67:{1,3,5}:{(58,1),(59,1),(60,1),(74,1),(75,1)}
      68:{1,2,6}:{(59,1),(75,1)}
      69:{2,4,5}:{(60,1),(61,1),(74,1),(76,1)}
      70:{2,3,6}:{(60,1),(62,1),(75,1),(76,1)}
      71:{1,3,4,6}:{(61,1),(62,1),(63,1),(65,1),(76,1),(77,1)}
      72:{1,4,5,6}:{(63,1),(64,1),(66,1),(77,1)}
      73:{3,5,6}:{(65,1),(66,1)}
      74:{1,4,5}:{(67,1),(69,1),(78,1)}
      75:{1,3,6}:{(67,1),(68,1),(70,1),(78,1)}
      76:{2,4,6}:{(69,1),(70,1),(71,1),(78,1),(79,1)}
      77:{1,3,5,6}:{(71,1),(72,1),(73,1),(79,1)}
      78:{1,4,6}:{(74,1),(75,1),(76,1),(80,1)}
      79:{2,5,6}:{(76,1),(77,1),(80,1)}
      80:{1,5,6}:{(78,1),(79,1)}

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

533 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(43,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(25,1),(38,1)}
       2:{1,3,4,5}:{(0,1),(5,1),(6,1),(13,1),(40,1),(41,1)}
       3:{3,4,5,6}:{(8,1),(42,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(20,1),(34,1),(36,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,5}:{(6,1),(12,1),(13,1),(26,1),(39,1),(40,1)}
       8:{2,4,5,6}:{(3,1),(4,1),(14,1),(38,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(29,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{2,3,5}:{(6,1),(13,1),(16,1),(17,1)}
      12:{1,2,4,6}:{(7,1),(10,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,3,5}:{(7,1),(11,1),(18,1),(20,1),(21,1)}
      14:{1,4,5,6}:{(8,1),(9,1),(22,1),(34,1)}
      15:{2,5,6}:{(9,1),(10,1)}
      16:{2,3,6}:{(10,1),(11,1),(20,1)}
      17:{2,3,4}:{(11,1),(21,1)}
      18:{2,3,5}:{(13,1),(25,1),(26,1),(39,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(27,1),(39,1)}
      20:{1,3,6}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,3,4}:{(13,1),(17,1),(26,1)}
      22:{2,4,5,6}:{(14,1),(15,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(27,1),(29,1),(30,1),(31,1)}
      24:{2,3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1)}
      25:{2,3,6}:{(18,1),(20,1),(33,1)}
      26:{2,4}:{(18,1),(21,1)}
      27:{1,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1)}
      28:{1,3,4,6}:{(20,1),(21,1),(24,1),(33,1),(34,1),(35,1),(42,1)}
      29:{3,5,6}:{(22,1),(36,1)}
      30:{2,4,6}:{(23,1),(34,1),(36,1),(37,1)}
      31:{2,3,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(38,1),(39,1),(44,1)}
      33:{2,4,6}:{(25,1),(26,1),(28,1),(39,1)}
      34:{1,4,6}:{(27,1),(30,1),(38,1),(40,1)}
      35:{1,3,5}:{(28,1),(31,1),(39,1),(40,1),(44,1)}
      36:{3,4,6}:{(29,1),(30,1),(41,1)}
      37:{2,4,5}:{(30,1),(31,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(34,1),(42,1),(43,1)}
      39:{2,5}:{(33,1),(35,1)}
      40:{1,4,5}:{(34,1),(35,1),(37,1),(43,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{3,4,6}:{(38,1),(44,1)}
      43:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

534 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

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

536 :  0:{1,3,4,5,6}:{(1,1),(5,1),(15,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(9,1),(20,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,4,5,6}:{(1,1),(5,1),(26,1)}
       4:{2,3,4,6}:{(2,1),(7,1),(8,1),(20,1),(30,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,4,5,6}:{(3,1),(9,1),(10,1),(17,1),(20,1),(33,1),(39,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(27,1),(34,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(11,1),(12,1),(24,1),(26,1)}
       9:{2,5,6}:{(5,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(14,1),(15,1),(24,1),(37,1)}
      11:{1,3,4,5}:{(7,1),(8,1),(16,1),(28,1),(33,1)}
      12:{2,4,6}:{(8,1),(9,1),(16,1),(18,1)}
      13:{1,2,5,6}:{(9,1),(17,1),(19,1),(39,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(18,1),(19,1),(20,1),(30,1),(32,1),(39,1)}
      15:{1,3,4,6}:{(10,1),(20,1),(21,1)}
      16:{2,4,5}:{(11,1),(12,1),(23,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(22,1),(24,1),(26,1),(36,1)}
      18:{2,3,6}:{(12,1),(23,1),(24,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(24,1),(26,1),(37,1)}
      20:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(37,1)}
      22:{1,2,4,5}:{(16,1),(17,1),(28,1),(33,1),(38,1),(39,1)}
      23:{2,3,5}:{(16,1),(18,1),(28,1),(29,1)}
      24:{1,3,6}:{(17,1),(18,1),(28,1),(30,1)}
      25:{2,3,4,6}:{(18,1),(20,1),(29,1),(31,1),(32,1)}
      26:{1,4,6}:{(19,1),(20,1),(33,1)}
      27:{2,4,5}:{(20,1),(21,1),(32,1),(33,1),(39,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(34,1),(35,1)}
      29:{2,3,4}:{(23,1),(35,1)}
      30:{2,3,6}:{(24,1),(34,1),(36,1)}
      31:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(36,1),(37,1)}
      32:{2,3,5}:{(25,1),(27,1),(37,1)}
      33:{1,4,5}:{(26,1),(27,1),(37,1)}
      34:{2,3,5}:{(28,1),(30,1),(38,1),(39,1)}
      35:{1,3,4}:{(28,1),(29,1),(38,1)}
      36:{2,4,6}:{(30,1),(31,1),(38,1),(39,1)}
      37:{1,3,5}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,4}:{(34,1),(35,1)}
      39:{2,5}:{(36,1),(37,1)}

537 :  0:{1,3,4,5,6}:{(1,1),(6,1),(16,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(10,1),(22,1)}
       2:{2,3,5,6}:{(1,1),(5,1),(6,1)}
       3:{1,4,5,6}:{(1,1),(6,1),(28,1)}
       4:{2,3,4,5}:{(5,1),(8,1),(29,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(4,1),(9,1),(22,1),(32,1)}
       6:{1,3,5,6}:{(2,1),(3,1),(9,1),(10,1)}
       7:{1,2,4,5,6}:{(3,1),(10,1),(11,1),(19,1),(22,1),(35,1),(39,1)}
       8:{1,3,4,5}:{(4,1),(9,1),(12,1),(24,1),(35,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(8,1),(13,1),(26,1),(28,1)}
      10:{2,5,6}:{(6,1),(13,1)}
      11:{1,3,5,6}:{(7,1),(15,1),(16,1),(26,1),(38,1)}
      12:{2,4,5}:{(8,1),(13,1),(18,1)}
      13:{2,4,6}:{(9,1),(10,1),(12,1),(20,1)}
      14:{1,2,5,6}:{(10,1),(19,1),(21,1),(39,1)}
      15:{2,3,5,6}:{(10,1),(11,1),(20,1),(21,1),(22,1),(32,1),(34,1),(39,1)}
      16:{1,3,4,6}:{(11,1),(22,1),(23,1)}
      17:{1,2,4,5}:{(12,1),(19,1),(24,1),(35,1),(36,1),(39,1)}
      18:{2,3,5}:{(12,1),(20,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(17,1),(26,1),(28,1),(37,1)}
      20:{2,3,6}:{(13,1),(18,1),(26,1)}
      21:{1,3,5,6}:{(14,1),(15,1),(26,1),(28,1),(38,1)}
      22:{2,4,6}:{(15,1),(16,1),(28,1),(29,1)}
      23:{1,3,4,5}:{(16,1),(29,1),(38,1)}
      24:{1,3,5}:{(17,1),(18,1),(26,1),(30,1),(31,1)}
      25:{2,3,4}:{(18,1),(31,1)}
      26:{1,3,6}:{(19,1),(20,1),(24,1),(32,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(25,1),(33,1),(34,1)}
      28:{1,4,6}:{(21,1),(22,1),(35,1)}
      29:{2,4,5}:{(22,1),(23,1),(34,1),(35,1),(39,1)}
      30:{2,3,5}:{(24,1),(32,1),(36,1),(39,1)}
      31:{1,3,4}:{(24,1),(25,1),(36,1)}
      32:{2,3,6}:{(26,1),(30,1),(37,1)}
      33:{1,3,4,6}:{(26,1),(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{2,3,5}:{(27,1),(29,1),(38,1)}
      35:{1,4,5}:{(28,1),(29,1),(38,1)}
      36:{2,4}:{(30,1),(31,1)}
      37:{2,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{1,3,5}:{(33,1),(34,1),(35,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

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

539 :  0:{1,2,3,5}:{(1,1),(2,1),(11,1),(12,1)}
       1:{1,2,3,6}:{(0,1),(5,1),(22,1),(59,1)}
       2:{1,2,4}:{(0,1),(4,1)}
       3:{1,2,3}:{(8,1)}
       4:{1,3,4}:{(2,1),(9,1),(11,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(68,1),(79,1)}
       6:{1,2,4,5}:{(2,1),(11,1),(12,1),(13,1),(29,1),(33,1)}
       7:{1,2,3,6}:{(3,1),(15,1),(16,1),(62,1)}
       8:{1,2,4}:{(3,1),(14,1),(17,1)}
       9:{2,3,4}:{(4,1),(14,1),(19,1)}
      10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(45,1),(60,1),(76,1)}
      11:{1,3,5}:{(4,1),(6,1),(19,1),(22,1)}
      12:{1,2,5}:{(5,1),(21,1)}
      13:{1,2,4,6}:{(6,1),(22,1),(23,1),(41,1),(45,1)}
      14:{1,3,4}:{(8,1),(9,1),(25,1)}
      15:{1,2,3,5}:{(7,1),(26,1),(27,1),(50,1)}
      16:{1,2,4,6}:{(7,1),(8,1),(24,1),(26,1),(27,1),(28,1)}
      17:{1,2,5}:{(8,1),(25,1),(28,1)}
      18:{2,3,4,6}:{(9,1),(10,1),(24,1),(30,1),(31,1),(49,1),(54,1),(70,1)}
      19:{2,3,5}:{(9,1),(11,1),(25,1),(29,1),(31,1)}
      20:{1,3,4,5}:{(11,1),(29,1),(32,1),(33,1),(53,1)}
      21:{1,3,5}:{(10,1),(12,1),(30,1),(33,1)}
      22:{1,3,6}:{(11,1),(13,1),(31,1)}
      23:{1,2,5,6}:{(12,1),(13,1),(34,1),(52,1),(79,1)}
      24:{1,3,4,6}:{(14,1),(16,1),(18,1),(36,1),(37,1),(38,1),(58,1),(62,1)}
      25:{1,3,5}:{(14,1),(17,1),(19,1),(35,1),(37,1)}
      26:{1,2,4}:{(15,1),(38,1)}
      27:{1,2,5}:{(16,1),(36,1)}
      28:{1,2,6}:{(17,1),(37,1)}
      29:{2,4,5}:{(19,1),(20,1),(35,1),(41,1)}
      30:{2,3,5}:{(18,1),(21,1),(36,1),(42,1)}
      31:{2,3,6}:{(19,1),(22,1),(37,1),(41,1)}
      32:{1,3,4,6}:{(20,1),(22,1),(41,1),(44,1),(45,1),(64,1)}
      33:{1,4,5}:{(21,1),(42,1),(45,1)}
      34:{1,3,5,6}:{(21,1),(22,1),(23,1),(43,1),(45,1),(76,1),(80,1)}
      35:{1,4,5}:{(25,1),(29,1),(46,1)}
      36:{1,3,5}:{(24,1),(27,1),(30,1),(47,1)}
      37:{1,3,6}:{(25,1),(28,1),(31,1),(46,1)}
      38:{1,3,4}:{(26,1),(49,1),(50,1)}
      39:{1,2,4,5}:{(26,1),(27,1),(47,1),(50,1),(51,1),(66,1)}
      40:{1,2,5,6}:{(27,1),(28,1),(48,1),(51,1),(77,1)}
      41:{2,4,6}:{(29,1),(31,1),(32,1),(46,1),(52,1)}
      42:{2,4,5}:{(30,1),(33,1),(47,1),(53,1),(54,1)}
      43:{2,3,5,6}:{(30,1),(31,1),(34,1),(48,1),(52,1),(54,1),(70,1),(71,1),(77,1)}
      44:{1,3,5,6}:{(32,1),(52,1),(55,1),(71,1)}
      45:{1,4,6}:{(33,1),(34,1),(54,1)}
      46:{1,4,6}:{(35,1),(37,1),(41,1),(56,1)}
      47:{1,4,5}:{(36,1),(42,1),(58,1)}
      48:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(56,1),(58,1),(62,1)}
      49:{2,3,4}:{(38,1),(60,1),(61,1)}
      50:{1,3,5}:{(38,1),(39,1),(61,1),(62,1)}
      51:{1,2,4,6}:{(39,1),(40,1),(58,1),(62,1),(74,1)}
      52:{2,5,6}:{(41,1),(44,1),(56,1)}
      53:{3,4,5}:{(42,1),(64,1)}
      54:{2,4,6}:{(42,1),(43,1),(45,1),(58,1),(64,1)}
      55:{1,4,5,6}:{(44,1),(45,1),(63,1),(80,1)}
      56:{1,5,6}:{(46,1),(52,1)}
      57:{1,3,4,5}:{(47,1),(50,1),(53,1),(66,1),(67,1)}
      58:{1,4,6}:{(47,1),(48,1),(54,1)}
      59:{1,2,3}:{(68,1)}
      60:{1,3,4}:{(49,1),(68,1),(69,1)}
      61:{2,3,5}:{(49,1),(50,1),(66,1),(69,1),(70,1)}
      62:{1,3,6}:{(50,1),(51,1),(70,1)}
      63:{2,4,5,6}:{(52,1),(54,1),(55,1),(65,1),(71,1),(77,1)}
      64:{3,4,6}:{(53,1),(54,1),(71,1)}
      65:{1,4,5,6}:{(56,1),(58,1),(63,1),(72,1)}
      66:{2,4,5}:{(57,1),(61,1),(73,1),(74,1)}
      67:{1,3,4,6}:{(57,1),(58,1),(62,1),(64,1),(72,1),(74,1)}
      68:{1,2,4}:{(59,1),(60,1),(75,1)}
      69:{1,3,5}:{(60,1),(61,1),(73,1),(75,1),(76,1)}
      70:{2,3,6}:{(61,1),(62,1),(74,1),(76,1)}
      71:{3,5,6}:{(63,1),(64,1)}
      72:{1,3,5,6}:{(65,1),(67,1),(71,1),(77,1)}
      73:{1,4,5}:{(66,1),(69,1),(78,1)}
      74:{2,4,6}:{(66,1),(67,1),(70,1),(77,1),(78,1)}
      75:{1,2,5}:{(68,1),(69,1),(79,1)}
      76:{1,3,6}:{(69,1),(70,1),(78,1),(79,1)}
      77:{2,5,6}:{(72,1),(74,1),(80,1)}
      78:{1,4,6}:{(73,1),(74,1),(76,1),(80,1)}
      79:{1,2,6}:{(75,1),(76,1)}
      80:{1,5,6}:{(77,1),(78,1)}

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

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

542 :  0:{2,3,4,5}:{(2,1),(3,1),(30,1),(50,1)}
       1:{1,2,3,5}:{(4,1),(5,1),(20,1),(21,1)}
       2:{1,3,4,5}:{(0,1),(7,1),(8,1),(20,1),(43,1),(46,1)}
       3:{2,3,4,6}:{(0,1),(8,1),(9,1),(41,1),(58,1)}
       4:{1,2,3,6}:{(1,1),(11,1),(33,1)}
       5:{1,2,4}:{(1,1),(10,1)}
       6:{2,3,4}:{(10,1),(14,1)}
       7:{2,4,5}:{(2,1),(14,1),(15,1)}
       8:{1,3,4,6}:{(2,1),(3,1),(15,1),(16,1),(33,1),(53,1),(55,1)}
       9:{2,3,5,6}:{(3,1),(16,1),(17,1)}
      10:{1,3,4}:{(5,1),(6,1),(18,1),(20,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(19,1),(21,1)}
      12:{1,2,4,5}:{(5,1),(7,1),(20,1),(21,1),(22,1),(39,1),(43,1)}
      13:{2,3,4,6}:{(6,1),(19,1),(24,1),(25,1),(47,1)}
      14:{2,3,5}:{(6,1),(7,1),(20,1),(25,1)}
      15:{2,4,6}:{(7,1),(8,1),(25,1),(26,1)}
      16:{1,3,5,6}:{(8,1),(9,1),(26,1),(27,1),(48,1)}
      17:{2,4,5,6}:{(9,1),(27,1),(28,1),(58,1)}
      18:{2,3,4}:{(10,1),(30,1)}
      19:{1,3,4,6}:{(10,1),(11,1),(13,1),(29,1),(32,1),(33,1),(53,1)}
      20:{1,3,5}:{(10,1),(12,1),(14,1),(30,1),(33,1)}
      21:{1,2,5}:{(11,1),(32,1)}
      22:{1,2,4,6}:{(12,1),(15,1),(33,1),(34,1),(49,1),(53,1)}
      23:{2,3,4,5}:{(14,1),(31,1),(35,1),(36,1)}
      24:{2,3,5}:{(13,1),(32,1),(36,1)}
      25:{2,3,6}:{(14,1),(15,1),(33,1)}
      26:{2,5,6}:{(15,1),(16,1)}
      27:{1,4,5,6}:{(16,1),(17,1),(38,1),(53,1)}
      28:{3,4,5,6}:{(17,1),(62,1)}
      29:{2,3,4,6}:{(18,1),(19,1),(40,1),(41,1),(58,1)}
      30:{2,3,5}:{(18,1),(20,1),(39,1),(41,1)}
      31:{1,3,4,5}:{(20,1),(23,1),(39,1),(42,1),(43,1),(57,1)}
      32:{1,3,5}:{(19,1),(21,1),(24,1),(40,1),(43,1)}
      33:{1,3,6}:{(20,1),(22,1),(25,1),(41,1)}
      34:{1,2,5,6}:{(21,1),(22,1),(26,1),(44,1),(56,1)}
      35:{2,3,4,6}:{(23,1),(25,1),(42,1),(45,1),(47,1)}
      36:{2,4,5}:{(24,1),(43,1),(46,1),(47,1)}
      37:{2,3,5,6}:{(24,1),(25,1),(26,1),(44,1),(47,1),(48,1)}
      38:{2,4,5,6}:{(26,1),(27,1),(47,1),(48,1)}
      39:{2,4,5}:{(30,1),(31,1),(49,1)}
      40:{2,3,5}:{(29,1),(32,1),(50,1)}
      41:{2,3,6}:{(30,1),(33,1),(49,1)}
      42:{1,3,4,6}:{(31,1),(33,1),(35,1),(49,1),(52,1),(53,1),(62,1)}
      43:{1,4,5}:{(32,1),(36,1),(50,1),(53,1)}
      44:{1,3,5,6}:{(32,1),(33,1),(34,1),(37,1),(51,1),(53,1)}
      45:{2,3,5,6}:{(35,1),(52,1),(54,1)}
      46:{3,4,5}:{(36,1),(55,1)}
      47:{2,4,6}:{(36,1),(37,1),(53,1),(55,1)}
      48:{3,5,6}:{(38,1),(55,1)}
      49:{2,4,6}:{(39,1),(41,1),(42,1),(56,1)}
      50:{2,4,5}:{(40,1),(43,1),(57,1),(58,1)}
      51:{2,3,5,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(63,1)}
      52:{1,3,5,6}:{(42,1),(45,1),(56,1),(59,1),(63,1)}
      53:{1,4,6}:{(43,1),(44,1),(47,1),(58,1)}
      54:{2,4,5,6}:{(45,1),(47,1),(59,1),(60,1)}
      55:{3,4,6}:{(46,1),(47,1),(48,1)}
      56:{2,5,6}:{(49,1),(52,1)}
      57:{3,4,5}:{(50,1),(62,1)}
      58:{2,4,6}:{(50,1),(51,1),(53,1),(62,1)}
      59:{1,4,5,6}:{(52,1),(53,1),(54,1),(61,1)}
      60:{3,4,5,6}:{(54,1),(55,1)}
      61:{2,4,5,6}:{(56,1),(58,1),(59,1),(63,1)}
      62:{3,4,6}:{(57,1),(58,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

543 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(43,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(25,1),(38,1)}
       2:{1,3,4,5}:{(0,1),(5,1),(6,1),(13,1),(40,1),(41,1)}
       3:{3,4,5,6}:{(8,1),(42,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(20,1),(34,1),(36,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,5}:{(6,1),(12,1),(13,1),(26,1),(39,1),(40,1)}
       8:{2,4,5,6}:{(3,1),(4,1),(14,1),(38,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(29,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{2,3,5}:{(6,1),(13,1),(16,1),(17,1)}
      12:{1,2,4,6}:{(7,1),(10,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,3,5}:{(7,1),(11,1),(18,1),(20,1),(21,1)}
      14:{1,4,5,6}:{(8,1),(9,1),(22,1),(34,1)}
      15:{2,5,6}:{(9,1),(10,1)}
      16:{2,3,6}:{(10,1),(11,1),(20,1)}
      17:{2,3,4}:{(11,1),(21,1)}
      18:{2,3,5}:{(13,1),(25,1),(26,1),(39,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(27,1),(39,1)}
      20:{1,3,6}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,3,4}:{(13,1),(17,1),(26,1)}
      22:{2,4,5,6}:{(14,1),(15,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(27,1),(29,1),(30,1),(31,1)}
      24:{2,3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1)}
      25:{2,3,6}:{(18,1),(20,1),(33,1)}
      26:{2,4}:{(18,1),(21,1)}
      27:{1,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1)}
      28:{1,3,4,6}:{(20,1),(21,1),(24,1),(33,1),(34,1),(35,1),(42,1)}
      29:{3,5,6}:{(22,1),(36,1)}
      30:{2,4,6}:{(23,1),(34,1),(36,1),(37,1)}
      31:{2,3,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(38,1),(39,1),(44,1)}
      33:{2,4,6}:{(25,1),(26,1),(28,1),(39,1)}
      34:{1,4,6}:{(27,1),(30,1),(38,1),(40,1)}
      35:{1,3,5}:{(28,1),(31,1),(39,1),(40,1),(44,1)}
      36:{3,4,6}:{(29,1),(30,1),(41,1)}
      37:{2,4,5}:{(30,1),(31,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(34,1),(42,1),(43,1)}
      39:{2,5}:{(33,1),(35,1)}
      40:{1,4,5}:{(34,1),(35,1),(37,1),(43,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{3,4,6}:{(38,1),(44,1)}
      43:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

544 :  0:{3,4,5,6}:{(2,1),(42,1)}
       1:{2,3,4,5}:{(3,1),(4,1),(25,1),(43,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1),(39,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1),(30,1),(39,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1),(18,1),(29,1),(40,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(9,1)}
       6:{1,4,5,6}:{(2,1),(9,1),(10,1),(35,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(9,1),(11,1),(22,1),(23,1),(35,1)}
       8:{2,4,5}:{(4,1),(11,1),(13,1)}
       9:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1),(15,1)}
      10:{2,4,5,6}:{(6,1),(14,1),(15,1),(28,1)}
      11:{2,4,6}:{(7,1),(8,1),(14,1),(17,1)}
      12:{1,2,4,5}:{(8,1),(16,1),(18,1),(33,1),(40,1),(41,1)}
      13:{2,3,5}:{(8,1),(17,1),(18,1),(19,1)}
      14:{2,5,6}:{(9,1),(11,1)}
      15:{3,5,6}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(20,1),(23,1),(35,1),(37,1)}
      17:{2,3,6}:{(11,1),(13,1),(23,1)}
      18:{1,3,5}:{(12,1),(13,1),(23,1),(25,1),(26,1)}
      19:{2,3,4}:{(13,1),(26,1)}
      20:{1,2,5,6}:{(14,1),(16,1),(27,1),(41,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(17,1),(27,1),(28,1),(32,1)}
      22:{3,4,6}:{(15,1),(28,1),(29,1)}
      23:{1,3,6}:{(16,1),(17,1),(18,1),(30,1)}
      24:{2,3,4,6}:{(17,1),(19,1),(28,1),(31,1),(32,1)}
      25:{2,3,5}:{(18,1),(30,1),(33,1),(41,1)}
      26:{1,3,4}:{(18,1),(19,1),(33,1)}
      27:{1,3,5,6}:{(20,1),(21,1),(23,1),(34,1),(35,1),(38,1)}
      28:{2,4,6}:{(21,1),(22,1),(35,1),(36,1)}
      29:{3,4,5}:{(22,1),(36,1)}
      30:{2,3,6}:{(23,1),(25,1),(37,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(26,1),(35,1),(37,1),(38,1),(42,1)}
      32:{2,3,5}:{(24,1),(36,1),(38,1)}
      33:{2,4}:{(25,1),(26,1)}
      34:{2,3,5,6}:{(27,1),(30,1),(39,1),(41,1),(44,1)}
      35:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      36:{2,4,5}:{(28,1),(29,1),(32,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{1,3,5}:{(31,1),(32,1),(40,1),(41,1),(44,1)}
      39:{2,4,6}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(35,1),(36,1),(38,1),(43,1)}
      41:{2,5}:{(37,1),(38,1)}
      42:{3,4,6}:{(39,1),(44,1)}
      43:{2,4,5}:{(39,1),(40,1),(41,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

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

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

547 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1)}
       2:{2,3,4}:{(3,1),(5,1)}
       3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
       4:{1,2,5}:{(1,1),(8,1),(9,1)}
       5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
       6:{3,4,5}:{(10,1),(12,1)}
       7:{2,3,4}:{(3,1),(13,1)}
       8:{1,3,5}:{(3,1),(4,1),(5,1),(13,1),(14,1),(15,1)}
       9:{1,2,6}:{(4,1),(15,1)}
      10:{2,4,5}:{(5,1),(6,1),(14,1),(16,1)}
      11:{2,3,6}:{(5,1),(15,1),(16,1)}
      12:{3,4,6}:{(6,1),(16,1),(17,1)}
      13:{2,3,5}:{(7,1),(8,1),(18,1),(19,1)}
      14:{1,4,5}:{(8,1),(10,1),(18,1),(20,1)}
      15:{1,3,6}:{(8,1),(9,1),(11,1),(19,1),(20,1)}
      16:{2,4,6}:{(10,1),(11,1),(12,1),(20,1),(21,1)}
      17:{3,5,6}:{(12,1),(21,1),(22,1)}
      18:{2,4,5}:{(13,1),(14,1),(23,1),(24,1)}
      19:{2,3,6}:{(13,1),(15,1),(24,1)}
      20:{1,4,6}:{(14,1),(15,1),(16,1),(24,1),(25,1)}
      21:{2,5,6}:{(16,1),(17,1),(25,1)}
      22:{4,5,6}:{(17,1)}
      23:{3,4,5}:{(18,1),(26,1)}
      24:{2,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1)}
      25:{1,5,6}:{(20,1),(21,1),(27,1)}
      26:{3,4,6}:{(23,1),(24,1),(28,1)}
      27:{2,5,6}:{(24,1),(25,1),(28,1)}
      28:{3,5,6}:{(26,1),(27,1),(29,1)}
      29:{4,5,6}:{(28,1)}

548 :  0:{3,4,5,6}:{(1,1),(41,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(37,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(26,1),(42,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(8,1),(31,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(33,1),(37,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(20,1),(25,1),(38,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1),(12,1)}
       8:{2,4,5,6}:{(4,1),(11,1),(12,1),(24,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(14,1),(18,1),(27,1),(31,1)}
      10:{2,4,5}:{(6,1),(14,1),(15,1)}
      11:{2,5,6}:{(7,1),(14,1)}
      12:{3,5,6}:{(8,1),(18,1)}
      13:{1,2,4,5}:{(10,1),(19,1),(20,1),(34,1),(38,1),(43,1)}
      14:{2,4,6}:{(9,1),(10,1),(11,1),(21,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(43,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(21,1),(23,1),(24,1),(36,1)}
      18:{3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(27,1),(31,1),(39,1)}
      20:{1,3,5}:{(13,1),(15,1),(26,1),(27,1),(28,1)}
      21:{2,3,6}:{(14,1),(15,1),(27,1)}
      22:{2,3,4}:{(15,1),(28,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(27,1),(30,1),(31,1),(40,1)}
      24:{2,4,6}:{(17,1),(18,1),(31,1),(32,1)}
      25:{3,4,5}:{(18,1),(32,1)}
      26:{2,3,5}:{(20,1),(33,1),(34,1),(43,1)}
      27:{1,3,6}:{(19,1),(20,1),(21,1),(33,1)}
      28:{1,3,4}:{(20,1),(22,1),(34,1)}
      29:{2,3,4,6}:{(21,1),(22,1),(24,1),(35,1),(36,1)}
      30:{2,3,5,6}:{(23,1),(33,1),(37,1),(43,1),(44,1)}
      31:{1,4,6}:{(23,1),(24,1),(37,1),(38,1)}
      32:{2,4,5}:{(24,1),(25,1),(36,1),(38,1)}
      33:{2,3,6}:{(26,1),(27,1),(39,1)}
      34:{2,4}:{(26,1),(28,1)}
      35:{1,3,4,6}:{(27,1),(28,1),(29,1),(31,1),(39,1),(40,1),(41,1)}
      36:{2,3,5}:{(29,1),(32,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(41,1),(42,1)}
      38:{1,4,5}:{(31,1),(32,1),(40,1),(42,1)}
      39:{2,4,6}:{(33,1),(34,1),(35,1),(43,1)}
      40:{1,3,5}:{(35,1),(36,1),(38,1),(43,1),(44,1)}
      41:{3,4,6}:{(37,1),(44,1)}
      42:{2,4,5}:{(37,1),(38,1),(43,1),(44,1)}
      43:{2,5}:{(39,1),(40,1)}
      44:{3,5}:{(41,1),(42,1)}

549 :  0:{1,2,3,4,6}:{(1,1),(4,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(9,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{1,3,4,5}:{(3,1),(7,1),(8,1)}
       6:{1,2,4,5,6}:{(4,1),(9,1),(16,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{2,3,4,5}:{(5,1),(10,1),(11,1)}
       9:{1,3,5,6}:{(6,1),(7,1),(13,1)}
      10:{2,3,4,6}:{(7,1),(8,1),(13,1),(14,1)}
      11:{1,3,4,5}:{(8,1),(14,1),(15,1)}
      12:{1,3,4,5,6}:{(9,1),(16,1)}
      13:{2,3,5,6}:{(9,1),(10,1),(16,1),(17,1)}
      14:{1,3,4,6}:{(10,1),(11,1),(17,1),(18,1)}
      15:{1,2,4,5}:{(11,1),(18,1),(19,1)}
      16:{2,4,5,6}:{(12,1),(13,1),(20,1)}
      17:{1,3,5,6}:{(13,1),(14,1),(20,1),(21,1)}
      18:{1,2,4,6}:{(14,1),(15,1),(21,1),(22,1)}
      19:{1,2,3,5}:{(15,1),(22,1),(23,1)}
      20:{1,4,5,6}:{(16,1),(17,1)}
      21:{1,2,5,6}:{(17,1),(18,1)}
      22:{1,2,3,6}:{(18,1),(19,1)}
      23:{1,2,3,4}:{(19,1)}

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

551 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
       2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       3:{1,2,3,6}:{(1,1),(5,1)}
       4:{1,3,4,5}:{(2,1),(6,1),(7,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1)}
       6:{2,3,4,5}:{(4,1),(9,1),(10,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
       8:{1,2,5,6}:{(5,1),(11,1)}
       9:{1,3,4,5}:{(6,1),(13,1),(14,1)}
      10:{2,3,4,6}:{(6,1),(7,1),(14,1),(15,1)}
      11:{1,3,5,6}:{(7,1),(8,1),(15,1),(16,1)}
      12:{1,2,3,4}:{(17,1)}
      13:{1,2,4,5}:{(9,1),(17,1),(18,1)}
      14:{1,3,4,6}:{(9,1),(10,1),(18,1),(19,1)}
      15:{2,3,5,6}:{(10,1),(11,1),(19,1),(20,1)}
      16:{1,4,5,6}:{(11,1),(20,1)}
      17:{1,2,3,5}:{(12,1),(13,1),(21,1)}
      18:{1,2,4,6}:{(13,1),(14,1),(21,1),(22,1)}
      19:{1,3,5,6}:{(14,1),(15,1),(22,1),(23,1)}
      20:{2,4,5,6}:{(15,1),(16,1),(23,1),(24,1)}
      21:{1,2,3,6}:{(17,1),(18,1)}
      22:{1,2,5,6}:{(18,1),(19,1)}
      23:{1,4,5,6}:{(19,1),(20,1)}
      24:{3,4,5,6}:{(20,1)}

552 :  0:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(48,1),(60,1),(63,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(18,1),(70,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(14,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1),(60,1),(64,1)}
       4:{1,2,4,5,6}:{(2,1),(7,1),(18,1),(25,1),(40,1),(51,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(10,1),(18,1),(52,1),(56,1)}
       7:{1,3,5,6}:{(4,1),(5,1),(12,1),(13,1),(60,1)}
       8:{1,3,4,5}:{(5,1),(12,1),(14,1)}
       9:{2,3,5}:{(5,1),(6,1),(14,1),(15,1)}
      10:{1,3,4,6}:{(6,1),(15,1),(16,1),(27,1),(43,1),(47,1)}
      11:{1,3,4,5,6}:{(12,1),(17,1),(32,1),(50,1)}
      12:{1,3,4,6}:{(7,1),(8,1),(18,1)}
      13:{2,3,5,6}:{(7,1),(9,1),(18,1),(19,1),(40,1),(52,1)}
      14:{2,4,5}:{(8,1),(9,1),(18,1),(21,1)}
      15:{1,3,5}:{(9,1),(10,1),(21,1),(22,1)}
      16:{1,2,4,6}:{(10,1),(22,1),(23,1),(39,1)}
      17:{2,4,5,6}:{(11,1),(18,1),(24,1),(25,1),(40,1),(58,1)}
      18:{2,4,6}:{(12,1),(13,1),(14,1),(27,1)}
      19:{1,3,5,6}:{(13,1),(15,1),(27,1),(28,1),(43,1)}
      20:{2,3,4,5}:{(14,1),(26,1),(29,1),(46,1),(66,1)}
      21:{1,4,5}:{(14,1),(15,1),(27,1)}
      22:{1,2,5}:{(15,1),(16,1)}
      23:{1,2,3,6}:{(16,1),(31,1),(43,1)}
      24:{2,3,5,6}:{(17,1),(26,1),(32,1)}
      25:{1,4,5,6}:{(17,1),(27,1),(32,1),(65,1)}
      26:{2,3,4,6}:{(18,1),(20,1),(24,1),(34,1),(52,1),(58,1)}
      27:{1,4,6}:{(18,1),(19,1),(21,1)}
      28:{1,2,5,6}:{(19,1),(22,1),(35,1),(40,1)}
      29:{1,3,4,5}:{(20,1),(21,1),(34,1),(37,1),(38,1),(55,1),(71,1)}
      30:{1,2,4,5}:{(21,1),(22,1),(35,1),(37,1),(38,1),(39,1)}
      31:{1,2,3,5}:{(22,1),(23,1),(38,1),(39,1)}
      32:{1,3,5,6}:{(24,1),(25,1),(34,1),(40,1)}
      33:{1,2,4,5,6}:{(25,1),(35,1),(40,1),(41,1),(54,1),(58,1)}
      34:{1,3,4,6}:{(26,1),(27,1),(29,1),(32,1),(42,1),(43,1),(60,1),(65,1)}
      35:{1,2,4,6}:{(27,1),(28,1),(30,1),(42,1),(43,1)}
      36:{1,2,3,5,6}:{(28,1),(31,1),(43,1),(44,1),(49,1),(62,1)}
      37:{2,4,5}:{(29,1),(42,1),(46,1)}
      38:{1,3,5}:{(30,1),(43,1),(46,1),(47,1)}
      39:{1,2,4}:{(31,1),(47,1)}
      40:{2,5,6}:{(32,1),(42,1)}
      41:{1,3,5,6}:{(33,1),(43,1),(49,1),(50,1),(62,1)}
      42:{2,4,6}:{(34,1),(37,1),(40,1),(52,1)}
      43:{1,3,6}:{(35,1),(38,1),(52,1)}
      44:{1,2,4,6}:{(36,1),(39,1),(53,1),(54,1),(58,1)}
      45:{1,2,4,5}:{(37,1),(51,1),(55,1),(70,1),(71,1),(74,1)}
      46:{2,3,5}:{(37,1),(38,1),(52,1),(55,1),(56,1)}
      47:{1,3,4}:{(38,1),(39,1),(56,1)}
      48:{1,2,5,6}:{(40,1),(51,1),(57,1),(74,1)}
      49:{2,3,5,6}:{(40,1),(41,1),(52,1),(57,1),(58,1),(69,1)}
      50:{1,3,4,6}:{(41,1),(58,1),(59,1)}
      51:{1,2,4,6}:{(42,1),(45,1),(48,1),(60,1),(65,1)}
      52:{2,3,6}:{(42,1),(43,1),(46,1),(60,1)}
      53:{1,3,4,6}:{(43,1),(44,1),(47,1),(61,1),(62,1)}
      54:{1,2,4,5}:{(44,1),(62,1),(66,1)}
      55:{1,3,5}:{(45,1),(46,1),(60,1),(64,1)}
      56:{2,3,4}:{(46,1),(47,1),(64,1)}
      57:{1,3,5,6}:{(48,1),(49,1),(60,1),(65,1),(73,1)}
      58:{2,4,6}:{(49,1),(50,1),(65,1),(66,1)}
      59:{1,3,4,5}:{(50,1),(62,1),(66,1)}
      60:{1,3,6}:{(51,1),(52,1),(55,1)}
      61:{2,3,4,6}:{(52,1),(53,1),(56,1),(58,1),(68,1),(69,1)}
      62:{1,3,5}:{(53,1),(54,1),(69,1)}
      63:{1,2,3,5}:{(55,1),(67,1),(70,1),(74,1)}
      64:{1,3,4}:{(55,1),(56,1),(70,1)}
      65:{1,4,6}:{(57,1),(58,1),(71,1)}
      66:{2,4,5}:{(58,1),(59,1),(69,1),(71,1)}
      67:{1,2,3,6}:{(60,1),(63,1),(72,1)}
      68:{1,3,4,6}:{(60,1),(61,1),(64,1),(65,1),(72,1),(73,1)}
      69:{2,3,5}:{(61,1),(62,1),(66,1),(73,1)}
      70:{1,2,4}:{(63,1),(64,1)}
      71:{1,4,5}:{(65,1),(66,1),(73,1)}
      72:{1,2,4,6}:{(67,1),(68,1),(70,1),(74,1)}
      73:{1,3,5}:{(68,1),(69,1),(71,1),(74,1)}
      74:{1,2,5}:{(72,1),(73,1)}

553 :  0:{1,2,3,5}:{(1,1),(2,1),(9,1),(10,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(19,1),(67,1)}
       2:{1,2,4}:{(0,1),(3,1)}
       3:{1,3,4}:{(2,1),(7,1),(9,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(8,1),(10,1),(74,1),(80,1)}
       5:{1,2,4,5}:{(2,1),(9,1),(10,1),(11,1),(12,1),(30,1)}
       6:{1,3,4,5}:{(9,1),(12,1),(13,1),(30,1),(50,1)}
       7:{2,3,4}:{(3,1),(15,1),(17,1)}
       8:{1,3,4,6}:{(3,1),(4,1),(16,1),(18,1),(19,1),(42,1),(68,1),(79,1)}
       9:{1,3,5}:{(3,1),(5,1),(17,1),(19,1)}
      10:{1,2,5}:{(4,1),(18,1)}
      11:{1,2,4,6}:{(5,1),(19,1),(20,1),(22,1),(42,1)}
      12:{2,4,5}:{(6,1),(17,1),(21,1),(22,1)}
      13:{1,3,4,6}:{(6,1),(19,1),(22,1),(23,1),(42,1),(59,1)}
      14:{1,2,3}:{(25,1)}
      15:{1,3,4}:{(7,1),(25,1),(27,1)}
      16:{2,3,4,6}:{(7,1),(8,1),(26,1),(28,1),(29,1),(51,1),(61,1),(76,1)}
      17:{2,3,5}:{(7,1),(9,1),(12,1),(27,1),(29,1)}
      18:{1,3,5}:{(8,1),(10,1),(28,1),(30,1)}
      19:{1,3,6}:{(9,1),(11,1),(29,1)}
      20:{1,2,5,6}:{(10,1),(11,1),(31,1),(33,1),(80,1)}
      21:{1,4,5}:{(12,1),(27,1),(32,1)}
      22:{2,4,6}:{(12,1),(13,1),(29,1),(32,1),(33,1)}
      23:{1,3,5,6}:{(13,1),(33,1),(34,1),(53,1)}
      24:{1,2,3,6}:{(14,1),(35,1),(36,1),(70,1)}
      25:{1,2,4}:{(14,1),(15,1),(37,1)}
      26:{1,3,4,6}:{(15,1),(16,1),(36,1),(38,1),(39,1),(54,1),(58,1),(70,1)}
      27:{1,3,5}:{(15,1),(17,1),(21,1),(37,1),(39,1)}
      28:{2,3,5}:{(16,1),(18,1),(38,1),(40,1)}
      29:{2,3,6}:{(17,1),(19,1),(22,1),(39,1)}
      30:{1,4,5}:{(18,1),(40,1),(42,1)}
      31:{1,3,5,6}:{(18,1),(19,1),(20,1),(41,1),(42,1),(73,1),(79,1)}
      32:{1,4,6}:{(21,1),(22,1),(39,1),(43,1)}
      33:{2,5,6}:{(22,1),(23,1),(43,1)}
      34:{1,4,5,6}:{(23,1),(42,1),(44,1),(73,1)}
      35:{1,2,3,5}:{(24,1),(45,1),(46,1),(62,1)}
      36:{1,2,4,6}:{(24,1),(25,1),(26,1),(45,1),(46,1),(47,1)}
      37:{1,2,5}:{(25,1),(27,1),(47,1)}
      38:{1,3,5}:{(26,1),(28,1),(46,1),(48,1)}
      39:{1,3,6}:{(27,1),(29,1),(32,1),(47,1)}
      40:{2,4,5}:{(28,1),(30,1),(48,1),(50,1),(51,1)}
      41:{2,3,5,6}:{(28,1),(29,1),(31,1),(33,1),(49,1),(51,1),(53,1),(66,1),(76,1)}
      42:{1,4,6}:{(30,1),(31,1),(51,1)}
      43:{1,5,6}:{(32,1),(33,1)}
      44:{2,4,5,6}:{(33,1),(34,1),(51,1),(52,1),(53,1),(66,1)}
      45:{1,2,4}:{(35,1),(54,1)}
      46:{1,2,5}:{(36,1),(38,1)}
      47:{1,2,6}:{(37,1),(39,1)}
      48:{1,4,5}:{(38,1),(40,1),(58,1)}
      49:{1,3,5,6}:{(38,1),(39,1),(41,1),(43,1),(56,1),(58,1),(70,1)}
      50:{3,4,5}:{(40,1),(59,1)}
      51:{2,4,6}:{(40,1),(41,1),(42,1),(58,1),(59,1)}
      52:{1,4,5,6}:{(43,1),(44,1),(58,1),(60,1)}
      53:{3,5,6}:{(44,1),(59,1)}
      54:{1,3,4}:{(45,1),(61,1),(62,1)}
      55:{1,2,4,5}:{(45,1),(46,1),(48,1),(62,1),(63,1),(64,1)}
      56:{1,2,5,6}:{(46,1),(47,1),(49,1),(63,1),(66,1)}
      57:{1,3,4,5}:{(48,1),(50,1),(62,1),(64,1),(65,1)}
      58:{1,4,6}:{(48,1),(49,1),(51,1)}
      59:{3,4,6}:{(50,1),(51,1),(53,1)}
      60:{1,3,5,6}:{(52,1),(53,1),(65,1),(66,1)}
      61:{2,3,4}:{(54,1),(68,1),(69,1)}
      62:{1,3,5}:{(54,1),(55,1),(69,1),(70,1)}
      63:{1,2,4,6}:{(55,1),(56,1),(58,1),(70,1),(72,1)}
      64:{2,4,5}:{(57,1),(69,1),(71,1),(72,1)}
      65:{1,3,4,6}:{(57,1),(58,1),(59,1),(60,1),(70,1),(72,1)}
      66:{2,5,6}:{(60,1),(72,1),(73,1)}
      67:{1,2,3}:{(74,1)}
      68:{1,3,4}:{(61,1),(74,1),(75,1)}
      69:{2,3,5}:{(61,1),(62,1),(64,1),(75,1),(76,1)}
      70:{1,3,6}:{(62,1),(63,1),(76,1)}
      71:{1,4,5}:{(64,1),(75,1),(77,1)}
      72:{2,4,6}:{(64,1),(65,1),(66,1),(76,1),(77,1)}
      73:{1,5,6}:{(66,1),(77,1)}
      74:{1,2,4}:{(67,1),(68,1),(78,1)}
      75:{1,3,5}:{(68,1),(69,1),(71,1),(78,1),(79,1)}
      76:{2,3,6}:{(69,1),(70,1),(72,1),(79,1)}
      77:{1,4,6}:{(71,1),(72,1),(73,1),(79,1)}
      78:{1,2,5}:{(74,1),(75,1),(80,1)}
      79:{1,3,6}:{(75,1),(76,1),(77,1),(80,1)}
      80:{1,2,6}:{(78,1),(79,1)}

554 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

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

556 :  0:{1,3,4,5,6}:{(1,1),(5,1),(15,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(9,1),(20,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,4,5,6}:{(1,1),(5,1),(26,1)}
       4:{2,3,4,6}:{(2,1),(7,1),(8,1),(20,1),(30,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,4,5,6}:{(3,1),(9,1),(10,1),(17,1),(20,1),(33,1),(39,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(27,1),(34,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(11,1),(12,1),(24,1),(26,1)}
       9:{2,5,6}:{(5,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(14,1),(15,1),(24,1),(37,1)}
      11:{1,3,4,5}:{(7,1),(8,1),(16,1),(28,1),(33,1)}
      12:{2,4,6}:{(8,1),(9,1),(16,1),(18,1)}
      13:{1,2,5,6}:{(9,1),(17,1),(19,1),(39,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(18,1),(19,1),(20,1),(30,1),(32,1),(39,1)}
      15:{1,3,4,6}:{(10,1),(20,1),(21,1)}
      16:{2,4,5}:{(11,1),(12,1),(23,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(22,1),(24,1),(26,1),(36,1)}
      18:{2,3,6}:{(12,1),(23,1),(24,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(24,1),(26,1),(37,1)}
      20:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(37,1)}
      22:{1,2,4,5}:{(16,1),(17,1),(28,1),(33,1),(38,1),(39,1)}
      23:{2,3,5}:{(16,1),(18,1),(28,1),(29,1)}
      24:{1,3,6}:{(17,1),(18,1),(28,1),(30,1)}
      25:{2,3,4,6}:{(18,1),(20,1),(29,1),(31,1),(32,1)}
      26:{1,4,6}:{(19,1),(20,1),(33,1)}
      27:{2,4,5}:{(20,1),(21,1),(32,1),(33,1),(39,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(34,1),(35,1)}
      29:{2,3,4}:{(23,1),(35,1)}
      30:{2,3,6}:{(24,1),(34,1),(36,1)}
      31:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(36,1),(37,1)}
      32:{2,3,5}:{(25,1),(27,1),(37,1)}
      33:{1,4,5}:{(26,1),(27,1),(37,1)}
      34:{2,3,5}:{(28,1),(30,1),(38,1),(39,1)}
      35:{1,3,4}:{(28,1),(29,1),(38,1)}
      36:{2,4,6}:{(30,1),(31,1),(38,1),(39,1)}
      37:{1,3,5}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,4}:{(34,1),(35,1)}
      39:{2,5}:{(36,1),(37,1)}

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

558 :  0:{1,3,4,5,6}:{(1,1),(6,1),(16,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(10,1),(22,1)}
       2:{2,3,5,6}:{(1,1),(5,1),(6,1)}
       3:{1,4,5,6}:{(1,1),(6,1),(28,1)}
       4:{2,3,4,5}:{(5,1),(8,1),(29,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(4,1),(9,1),(22,1),(32,1)}
       6:{1,3,5,6}:{(2,1),(3,1),(9,1),(10,1)}
       7:{1,2,4,5,6}:{(3,1),(10,1),(11,1),(19,1),(22,1),(35,1),(39,1)}
       8:{1,3,4,5}:{(4,1),(9,1),(12,1),(24,1),(35,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(8,1),(13,1),(26,1),(28,1)}
      10:{2,5,6}:{(6,1),(13,1)}
      11:{1,3,5,6}:{(7,1),(15,1),(16,1),(26,1),(38,1)}
      12:{2,4,5}:{(8,1),(13,1),(18,1)}
      13:{2,4,6}:{(9,1),(10,1),(12,1),(20,1)}
      14:{1,2,5,6}:{(10,1),(19,1),(21,1),(39,1)}
      15:{2,3,5,6}:{(10,1),(11,1),(20,1),(21,1),(22,1),(32,1),(34,1),(39,1)}
      16:{1,3,4,6}:{(11,1),(22,1),(23,1)}
      17:{1,2,4,5}:{(12,1),(19,1),(24,1),(35,1),(36,1),(39,1)}
      18:{2,3,5}:{(12,1),(20,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(17,1),(26,1),(28,1),(37,1)}
      20:{2,3,6}:{(13,1),(18,1),(26,1)}
      21:{1,3,5,6}:{(14,1),(15,1),(26,1),(28,1),(38,1)}
      22:{2,4,6}:{(15,1),(16,1),(28,1),(29,1)}
      23:{1,3,4,5}:{(16,1),(29,1),(38,1)}
      24:{1,3,5}:{(17,1),(18,1),(26,1),(30,1),(31,1)}
      25:{2,3,4}:{(18,1),(31,1)}
      26:{1,3,6}:{(19,1),(20,1),(24,1),(32,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(25,1),(33,1),(34,1)}
      28:{1,4,6}:{(21,1),(22,1),(35,1)}
      29:{2,4,5}:{(22,1),(23,1),(34,1),(35,1),(39,1)}
      30:{2,3,5}:{(24,1),(32,1),(36,1),(39,1)}
      31:{1,3,4}:{(24,1),(25,1),(36,1)}
      32:{2,3,6}:{(26,1),(30,1),(37,1)}
      33:{1,3,4,6}:{(26,1),(27,1),(28,1),(31,1),(37,1),(38,1)}
      34:{2,3,5}:{(27,1),(29,1),(38,1)}
      35:{1,4,5}:{(28,1),(29,1),(38,1)}
      36:{2,4}:{(30,1),(31,1)}
      37:{2,4,6}:{(32,1),(33,1),(36,1),(39,1)}
      38:{1,3,5}:{(33,1),(34,1),(35,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

559 :  0:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(54,1),(57,1),(58,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(18,1),(66,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(12,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1),(58,1),(59,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(18,1),(31,1),(46,1),(48,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(10,1),(18,1),(50,1),(51,1)}
       7:{1,3,4,5}:{(5,1),(11,1),(12,1)}
       8:{1,3,5,6}:{(4,1),(5,1),(11,1),(13,1),(58,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1),(14,1)}
      10:{1,3,4,6}:{(6,1),(14,1),(15,1),(26,1),(43,1),(44,1)}
      11:{1,3,4,6}:{(7,1),(8,1),(18,1)}
      12:{2,4,5}:{(7,1),(9,1),(18,1),(19,1)}
      13:{2,3,5,6}:{(8,1),(9,1),(18,1),(20,1),(46,1),(50,1)}
      14:{1,3,5}:{(9,1),(10,1),(19,1),(21,1)}
      15:{1,2,4,6}:{(10,1),(21,1),(22,1),(37,1)}
      16:{1,3,4,5,6}:{(11,1),(23,1),(38,1),(56,1)}
      17:{2,3,4,5}:{(12,1),(24,1),(25,1),(42,1),(70,1)}
      18:{2,4,6}:{(11,1),(12,1),(13,1),(26,1)}
      19:{1,4,5}:{(12,1),(14,1),(26,1)}
      20:{1,3,5,6}:{(13,1),(14,1),(26,1),(28,1),(43,1)}
      21:{1,2,5}:{(14,1),(15,1)}
      22:{1,2,3,6}:{(15,1),(29,1),(43,1)}
      23:{2,4,5,6}:{(16,1),(18,1),(30,1),(31,1),(46,1),(63,1)}
      24:{2,3,4,6}:{(17,1),(18,1),(30,1),(32,1),(50,1),(63,1)}
      25:{1,3,4,5}:{(17,1),(19,1),(32,1),(33,1),(35,1),(49,1),(73,1)}
      26:{1,4,6}:{(18,1),(19,1),(20,1)}
      27:{1,2,4,5}:{(19,1),(21,1),(33,1),(34,1),(35,1),(37,1)}
      28:{1,2,5,6}:{(20,1),(21,1),(34,1),(46,1)}
      29:{1,2,3,5}:{(21,1),(22,1),(35,1),(37,1)}
      30:{2,3,5,6}:{(23,1),(24,1),(38,1)}
      31:{1,4,5,6}:{(23,1),(26,1),(38,1),(69,1)}
      32:{1,3,4,6}:{(24,1),(25,1),(26,1),(38,1),(41,1),(43,1),(58,1),(69,1)}
      33:{2,4,5}:{(25,1),(41,1),(42,1)}
      34:{1,2,4,6}:{(26,1),(27,1),(28,1),(41,1),(43,1)}
      35:{1,3,5}:{(27,1),(42,1),(43,1),(44,1)}
      36:{1,2,3,5,6}:{(28,1),(29,1),(43,1),(45,1),(55,1),(61,1)}
      37:{1,2,4}:{(29,1),(44,1)}
      38:{1,3,5,6}:{(30,1),(31,1),(32,1),(46,1)}
      39:{1,2,4,5,6}:{(31,1),(34,1),(46,1),(47,1),(53,1),(63,1)}
      40:{1,2,4,5}:{(33,1),(48,1),(49,1),(66,1),(73,1),(74,1)}
      41:{2,4,6}:{(32,1),(33,1),(46,1),(50,1)}
      42:{2,3,5}:{(33,1),(35,1),(49,1),(50,1),(51,1)}
      43:{1,3,6}:{(34,1),(35,1),(50,1)}
      44:{1,3,4}:{(35,1),(37,1),(51,1)}
      45:{1,2,4,6}:{(36,1),(37,1),(52,1),(53,1),(63,1)}
      46:{2,5,6}:{(38,1),(41,1)}
      47:{1,3,5,6}:{(39,1),(43,1),(55,1),(56,1),(61,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(54,1),(58,1),(69,1)}
      49:{1,3,5}:{(40,1),(42,1),(58,1),(59,1)}
      50:{2,3,6}:{(41,1),(42,1),(43,1),(58,1)}
      51:{2,3,4}:{(42,1),(44,1),(59,1)}
      52:{1,3,4,6}:{(43,1),(44,1),(45,1),(60,1),(61,1)}
      53:{1,2,4,5}:{(45,1),(61,1),(70,1)}
      54:{1,2,5,6}:{(46,1),(48,1),(62,1),(74,1)}
      55:{2,3,5,6}:{(46,1),(47,1),(50,1),(62,1),(63,1),(68,1)}
      56:{1,3,4,6}:{(47,1),(63,1),(64,1)}
      57:{1,2,3,5}:{(49,1),(65,1),(66,1),(74,1)}
      58:{1,3,6}:{(48,1),(49,1),(50,1)}
      59:{1,3,4}:{(49,1),(51,1),(66,1)}
      60:{2,3,4,6}:{(50,1),(51,1),(52,1),(63,1),(67,1),(68,1)}
      61:{1,3,5}:{(52,1),(53,1),(68,1)}
      62:{1,3,5,6}:{(54,1),(55,1),(58,1),(69,1),(72,1)}
      63:{2,4,6}:{(55,1),(56,1),(69,1),(70,1)}
      64:{1,3,4,5}:{(56,1),(61,1),(70,1)}
      65:{1,2,3,6}:{(57,1),(58,1),(71,1)}
      66:{1,2,4}:{(57,1),(59,1)}
      67:{1,3,4,6}:{(58,1),(59,1),(60,1),(69,1),(71,1),(72,1)}
      68:{2,3,5}:{(60,1),(61,1),(70,1),(72,1)}
      69:{1,4,6}:{(62,1),(63,1),(73,1)}
      70:{2,4,5}:{(63,1),(64,1),(68,1),(73,1)}
      71:{1,2,4,6}:{(65,1),(66,1),(67,1),(74,1)}
      72:{1,3,5}:{(67,1),(68,1),(73,1),(74,1)}
      73:{1,4,5}:{(69,1),(70,1),(72,1)}
      74:{1,2,5}:{(71,1),(72,1)}

560 :  0:{1,2,3,5}:{(1,1),(2,1),(11,1),(12,1)}
       1:{1,2,3,6}:{(0,1),(5,1),(22,1),(59,1)}
       2:{1,2,4}:{(0,1),(4,1)}
       3:{1,2,3}:{(8,1)}
       4:{1,3,4}:{(2,1),(9,1),(11,1)}
       5:{1,2,4,6}:{(1,1),(2,1),(10,1),(12,1),(68,1),(79,1)}
       6:{1,2,4,5}:{(2,1),(11,1),(12,1),(13,1),(29,1),(33,1)}
       7:{1,2,3,6}:{(3,1),(15,1),(16,1),(62,1)}
       8:{1,2,4}:{(3,1),(14,1),(17,1)}
       9:{2,3,4}:{(4,1),(14,1),(19,1)}
      10:{1,3,4,6}:{(4,1),(5,1),(18,1),(21,1),(22,1),(45,1),(60,1),(76,1)}
      11:{1,3,5}:{(4,1),(6,1),(19,1),(22,1)}
      12:{1,2,5}:{(5,1),(21,1)}
      13:{1,2,4,6}:{(6,1),(22,1),(23,1),(41,1),(45,1)}
      14:{1,3,4}:{(8,1),(9,1),(25,1)}
      15:{1,2,3,5}:{(7,1),(26,1),(27,1),(50,1)}
      16:{1,2,4,6}:{(7,1),(8,1),(24,1),(26,1),(27,1),(28,1)}
      17:{1,2,5}:{(8,1),(25,1),(28,1)}
      18:{2,3,4,6}:{(9,1),(10,1),(24,1),(30,1),(31,1),(49,1),(54,1),(70,1)}
      19:{2,3,5}:{(9,1),(11,1),(25,1),(29,1),(31,1)}
      20:{1,3,4,5}:{(11,1),(29,1),(32,1),(33,1),(53,1)}
      21:{1,3,5}:{(10,1),(12,1),(30,1),(33,1)}
      22:{1,3,6}:{(11,1),(13,1),(31,1)}
      23:{1,2,5,6}:{(12,1),(13,1),(34,1),(52,1),(79,1)}
      24:{1,3,4,6}:{(14,1),(16,1),(18,1),(36,1),(37,1),(38,1),(58,1),(62,1)}
      25:{1,3,5}:{(14,1),(17,1),(19,1),(35,1),(37,1)}
      26:{1,2,4}:{(15,1),(38,1)}
      27:{1,2,5}:{(16,1),(36,1)}
      28:{1,2,6}:{(17,1),(37,1)}
      29:{2,4,5}:{(19,1),(20,1),(35,1),(41,1)}
      30:{2,3,5}:{(18,1),(21,1),(36,1),(42,1)}
      31:{2,3,6}:{(19,1),(22,1),(37,1),(41,1)}
      32:{1,3,4,6}:{(20,1),(22,1),(41,1),(44,1),(45,1),(64,1)}
      33:{1,4,5}:{(21,1),(42,1),(45,1)}
      34:{1,3,5,6}:{(21,1),(22,1),(23,1),(43,1),(45,1),(76,1),(80,1)}
      35:{1,4,5}:{(25,1),(29,1),(46,1)}
      36:{1,3,5}:{(24,1),(27,1),(30,1),(47,1)}
      37:{1,3,6}:{(25,1),(28,1),(31,1),(46,1)}
      38:{1,3,4}:{(26,1),(49,1),(50,1)}
      39:{1,2,4,5}:{(26,1),(27,1),(47,1),(50,1),(51,1),(66,1)}
      40:{1,2,5,6}:{(27,1),(28,1),(48,1),(51,1),(77,1)}
      41:{2,4,6}:{(29,1),(31,1),(32,1),(46,1),(52,1)}
      42:{2,4,5}:{(30,1),(33,1),(47,1),(53,1),(54,1)}
      43:{2,3,5,6}:{(30,1),(31,1),(34,1),(48,1),(52,1),(54,1),(70,1),(71,1),(77,1)}
      44:{1,3,5,6}:{(32,1),(52,1),(55,1),(71,1)}
      45:{1,4,6}:{(33,1),(34,1),(54,1)}
      46:{1,4,6}:{(35,1),(37,1),(41,1),(56,1)}
      47:{1,4,5}:{(36,1),(42,1),(58,1)}
      48:{1,3,5,6}:{(36,1),(37,1),(40,1),(43,1),(56,1),(58,1),(62,1)}
      49:{2,3,4}:{(38,1),(60,1),(61,1)}
      50:{1,3,5}:{(38,1),(39,1),(61,1),(62,1)}
      51:{1,2,4,6}:{(39,1),(40,1),(58,1),(62,1),(74,1)}
      52:{2,5,6}:{(41,1),(44,1),(56,1)}
      53:{3,4,5}:{(42,1),(64,1)}
      54:{2,4,6}:{(42,1),(43,1),(45,1),(58,1),(64,1)}
      55:{1,4,5,6}:{(44,1),(45,1),(63,1),(80,1)}
      56:{1,5,6}:{(46,1),(52,1)}
      57:{1,3,4,5}:{(47,1),(50,1),(53,1),(66,1),(67,1)}
      58:{1,4,6}:{(47,1),(48,1),(54,1)}
      59:{1,2,3}:{(68,1)}
      60:{1,3,4}:{(49,1),(68,1),(69,1)}
      61:{2,3,5}:{(49,1),(50,1),(66,1),(69,1),(70,1)}
      62:{1,3,6}:{(50,1),(51,1),(70,1)}
      63:{2,4,5,6}:{(52,1),(54,1),(55,1),(65,1),(71,1),(77,1)}
      64:{3,4,6}:{(53,1),(54,1),(71,1)}
      65:{1,4,5,6}:{(56,1),(58,1),(63,1),(72,1)}
      66:{2,4,5}:{(57,1),(61,1),(73,1),(74,1)}
      67:{1,3,4,6}:{(57,1),(58,1),(62,1),(64,1),(72,1),(74,1)}
      68:{1,2,4}:{(59,1),(60,1),(75,1)}
      69:{1,3,5}:{(60,1),(61,1),(73,1),(75,1),(76,1)}
      70:{2,3,6}:{(61,1),(62,1),(74,1),(76,1)}
      71:{3,5,6}:{(63,1),(64,1)}
      72:{1,3,5,6}:{(65,1),(67,1),(71,1),(77,1)}
      73:{1,4,5}:{(66,1),(69,1),(78,1)}
      74:{2,4,6}:{(66,1),(67,1),(70,1),(77,1),(78,1)}
      75:{1,2,5}:{(68,1),(69,1),(79,1)}
      76:{1,3,6}:{(69,1),(70,1),(78,1),(79,1)}
      77:{2,5,6}:{(72,1),(74,1),(80,1)}
      78:{1,4,6}:{(73,1),(74,1),(76,1),(80,1)}
      79:{1,2,6}:{(75,1),(76,1)}
      80:{1,5,6}:{(77,1),(78,1)}

561 :  0:{2,3,4,5}:{(2,1),(3,1),(30,1),(50,1)}
       1:{1,2,3,5}:{(4,1),(5,1),(20,1),(21,1)}
       2:{1,3,4,5}:{(0,1),(7,1),(8,1),(20,1),(43,1),(46,1)}
       3:{2,3,4,6}:{(0,1),(8,1),(9,1),(41,1),(58,1)}
       4:{1,2,3,6}:{(1,1),(11,1),(33,1)}
       5:{1,2,4}:{(1,1),(10,1)}
       6:{2,3,4}:{(10,1),(14,1)}
       7:{2,4,5}:{(2,1),(14,1),(15,1)}
       8:{1,3,4,6}:{(2,1),(3,1),(15,1),(16,1),(33,1),(53,1),(55,1)}
       9:{2,3,5,6}:{(3,1),(16,1),(17,1)}
      10:{1,3,4}:{(5,1),(6,1),(18,1),(20,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(19,1),(21,1)}
      12:{1,2,4,5}:{(5,1),(7,1),(20,1),(21,1),(22,1),(39,1),(43,1)}
      13:{2,3,4,6}:{(6,1),(19,1),(24,1),(25,1),(47,1)}
      14:{2,3,5}:{(6,1),(7,1),(20,1),(25,1)}
      15:{2,4,6}:{(7,1),(8,1),(25,1),(26,1)}
      16:{1,3,5,6}:{(8,1),(9,1),(26,1),(27,1),(48,1)}
      17:{2,4,5,6}:{(9,1),(27,1),(28,1),(58,1)}
      18:{2,3,4}:{(10,1),(30,1)}
      19:{1,3,4,6}:{(10,1),(11,1),(13,1),(29,1),(32,1),(33,1),(53,1)}
      20:{1,3,5}:{(10,1),(12,1),(14,1),(30,1),(33,1)}
      21:{1,2,5}:{(11,1),(32,1)}
      22:{1,2,4,6}:{(12,1),(15,1),(33,1),(34,1),(49,1),(53,1)}
      23:{2,3,4,5}:{(14,1),(31,1),(35,1),(36,1)}
      24:{2,3,5}:{(13,1),(32,1),(36,1)}
      25:{2,3,6}:{(14,1),(15,1),(33,1)}
      26:{2,5,6}:{(15,1),(16,1)}
      27:{1,4,5,6}:{(16,1),(17,1),(38,1),(53,1)}
      28:{3,4,5,6}:{(17,1),(62,1)}
      29:{2,3,4,6}:{(18,1),(19,1),(40,1),(41,1),(58,1)}
      30:{2,3,5}:{(18,1),(20,1),(39,1),(41,1)}
      31:{1,3,4,5}:{(20,1),(23,1),(39,1),(42,1),(43,1),(57,1)}
      32:{1,3,5}:{(19,1),(21,1),(24,1),(40,1),(43,1)}
      33:{1,3,6}:{(20,1),(22,1),(25,1),(41,1)}
      34:{1,2,5,6}:{(21,1),(22,1),(26,1),(44,1),(56,1)}
      35:{2,3,4,6}:{(23,1),(25,1),(42,1),(45,1),(47,1)}
      36:{2,4,5}:{(24,1),(43,1),(46,1),(47,1)}
      37:{2,3,5,6}:{(24,1),(25,1),(26,1),(44,1),(47,1),(48,1)}
      38:{2,4,5,6}:{(26,1),(27,1),(47,1),(48,1)}
      39:{2,4,5}:{(30,1),(31,1),(49,1)}
      40:{2,3,5}:{(29,1),(32,1),(50,1)}
      41:{2,3,6}:{(30,1),(33,1),(49,1)}
      42:{1,3,4,6}:{(31,1),(33,1),(35,1),(49,1),(52,1),(53,1),(62,1)}
      43:{1,4,5}:{(32,1),(36,1),(50,1),(53,1)}
      44:{1,3,5,6}:{(32,1),(33,1),(34,1),(37,1),(51,1),(53,1)}
      45:{2,3,5,6}:{(35,1),(52,1),(54,1)}
      46:{3,4,5}:{(36,1),(55,1)}
      47:{2,4,6}:{(36,1),(37,1),(53,1),(55,1)}
      48:{3,5,6}:{(38,1),(55,1)}
      49:{2,4,6}:{(39,1),(41,1),(42,1),(56,1)}
      50:{2,4,5}:{(40,1),(43,1),(57,1),(58,1)}
      51:{2,3,5,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(63,1)}
      52:{1,3,5,6}:{(42,1),(45,1),(56,1),(59,1),(63,1)}
      53:{1,4,6}:{(43,1),(44,1),(47,1),(58,1)}
      54:{2,4,5,6}:{(45,1),(47,1),(59,1),(60,1)}
      55:{3,4,6}:{(46,1),(47,1),(48,1)}
      56:{2,5,6}:{(49,1),(52,1)}
      57:{3,4,5}:{(50,1),(62,1)}
      58:{2,4,6}:{(50,1),(51,1),(53,1),(62,1)}
      59:{1,4,5,6}:{(52,1),(53,1),(54,1),(61,1)}
      60:{3,4,5,6}:{(54,1),(55,1)}
      61:{2,4,5,6}:{(56,1),(58,1),(59,1),(63,1)}
      62:{3,4,6}:{(57,1),(58,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

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

563 :  0:{3,4,5,6}:{(2,1),(42,1)}
       1:{2,3,4,5}:{(3,1),(4,1),(25,1),(43,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1),(39,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1),(30,1),(39,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1),(18,1),(29,1),(40,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(9,1)}
       6:{1,4,5,6}:{(2,1),(9,1),(10,1),(35,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(9,1),(11,1),(22,1),(23,1),(35,1)}
       8:{2,4,5}:{(4,1),(11,1),(13,1)}
       9:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1),(15,1)}
      10:{2,4,5,6}:{(6,1),(14,1),(15,1),(28,1)}
      11:{2,4,6}:{(7,1),(8,1),(14,1),(17,1)}
      12:{1,2,4,5}:{(8,1),(16,1),(18,1),(33,1),(40,1),(41,1)}
      13:{2,3,5}:{(8,1),(17,1),(18,1),(19,1)}
      14:{2,5,6}:{(9,1),(11,1)}
      15:{3,5,6}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(20,1),(23,1),(35,1),(37,1)}
      17:{2,3,6}:{(11,1),(13,1),(23,1)}
      18:{1,3,5}:{(12,1),(13,1),(23,1),(25,1),(26,1)}
      19:{2,3,4}:{(13,1),(26,1)}
      20:{1,2,5,6}:{(14,1),(16,1),(27,1),(41,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(17,1),(27,1),(28,1),(32,1)}
      22:{3,4,6}:{(15,1),(28,1),(29,1)}
      23:{1,3,6}:{(16,1),(17,1),(18,1),(30,1)}
      24:{2,3,4,6}:{(17,1),(19,1),(28,1),(31,1),(32,1)}
      25:{2,3,5}:{(18,1),(30,1),(33,1),(41,1)}
      26:{1,3,4}:{(18,1),(19,1),(33,1)}
      27:{1,3,5,6}:{(20,1),(21,1),(23,1),(34,1),(35,1),(38,1)}
      28:{2,4,6}:{(21,1),(22,1),(35,1),(36,1)}
      29:{3,4,5}:{(22,1),(36,1)}
      30:{2,3,6}:{(23,1),(25,1),(37,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(26,1),(35,1),(37,1),(38,1),(42,1)}
      32:{2,3,5}:{(24,1),(36,1),(38,1)}
      33:{2,4}:{(25,1),(26,1)}
      34:{2,3,5,6}:{(27,1),(30,1),(39,1),(41,1),(44,1)}
      35:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      36:{2,4,5}:{(28,1),(29,1),(32,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{1,3,5}:{(31,1),(32,1),(40,1),(41,1),(44,1)}
      39:{2,4,6}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(35,1),(36,1),(38,1),(43,1)}
      41:{2,5}:{(37,1),(38,1)}
      42:{3,4,6}:{(39,1),(44,1)}
      43:{2,4,5}:{(39,1),(40,1),(41,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

564 :  0:{1,2,4,5,6}:{(1,1),(5,1),(13,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(24,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(20,1),(21,1)}
       4:{1,3,4,5}:{(2,1),(8,1),(15,1),(26,1)}
       5:{2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,3,4,6}:{(5,1),(11,1),(12,1),(21,1),(28,1)}
       8:{2,4,5}:{(4,1),(5,1),(11,1),(13,1),(20,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(20,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(9,1),(15,1),(16,1),(18,1),(24,1),(26,1),(29,1)}
      13:{1,4,5}:{(8,1),(9,1),(15,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(20,1)}
      16:{2,4,6}:{(12,1),(20,1),(21,1),(28,1)}
      17:{1,2,4,5}:{(13,1),(14,1),(20,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(21,1),(22,1)}
      19:{1,2,4,6}:{(16,1),(23,1),(24,1),(29,1)}
      20:{2,5}:{(15,1),(16,1)}
      21:{2,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,3,5}:{(17,1),(18,1),(25,1),(26,1)}
      23:{1,2,5}:{(19,1),(20,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{2,3,5}:{(20,1),(21,1),(22,1),(27,1),(28,1)}
      26:{1,3,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{2,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

565 :  0:{1,2,3,5,6}:{(1,1),(5,1),(17,1),(26,1),(66,1),(67,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(23,1),(36,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1),(47,1),(67,1)}
       3:{1,2,4,5}:{(1,1),(5,1),(13,1)}
       4:{2,3,4,6}:{(2,1),(9,1),(10,1),(23,1),(38,1),(62,1)}
       5:{1,3,5}:{(2,1),(3,1),(10,1)}
       6:{1,2,4,5,6}:{(3,1),(11,1),(23,1),(43,1),(59,1),(61,1)}
       7:{1,3,4,5}:{(5,1),(13,1),(14,1)}
       8:{1,2,3,6}:{(12,1),(15,1),(55,1)}
       9:{1,3,4,6}:{(4,1),(15,1),(16,1),(31,1),(33,1),(55,1)}
      10:{2,3,5}:{(4,1),(5,1),(13,1),(16,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(14,1),(17,1),(67,1)}
      12:{1,2,3,5}:{(8,1),(21,1),(24,1),(44,1)}
      13:{2,4,5}:{(7,1),(10,1),(22,1),(23,1)}
      14:{1,3,4,6}:{(7,1),(11,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(21,1),(24,1)}
      16:{1,3,5}:{(9,1),(10,1),(22,1),(24,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(23,1),(25,1),(61,1),(62,1)}
      18:{2,3,4,5}:{(13,1),(27,1),(28,1),(51,1),(68,1)}
      19:{1,2,3,5,6}:{(12,1),(29,1),(34,1),(53,1),(55,1),(69,1)}
      20:{1,3,4,5,6}:{(14,1),(30,1),(50,1),(70,1)}
      21:{1,2,4}:{(12,1),(31,1)}
      22:{1,4,5}:{(13,1),(16,1),(33,1)}
      23:{2,4,6}:{(13,1),(14,1),(17,1),(33,1)}
      24:{1,2,5}:{(15,1),(16,1)}
      25:{1,3,5,6}:{(16,1),(17,1),(33,1),(34,1),(55,1)}
      26:{1,2,3,5}:{(35,1),(36,1),(57,1),(58,1)}
      27:{1,3,4,5}:{(18,1),(22,1),(39,1),(40,1),(44,1),(58,1),(71,1)}
      28:{2,3,4,6}:{(18,1),(23,1),(37,1),(40,1),(62,1),(73,1)}
      29:{1,2,4,6}:{(19,1),(21,1),(41,1),(42,1),(73,1)}
      30:{2,4,5,6}:{(20,1),(23,1),(37,1),(43,1),(61,1),(73,1)}
      31:{1,3,4}:{(21,1),(38,1),(44,1)}
      32:{1,2,4,5}:{(21,1),(22,1),(24,1),(39,1),(44,1),(45,1)}
      33:{1,4,6}:{(22,1),(23,1),(25,1)}
      34:{1,2,5,6}:{(24,1),(25,1),(45,1),(61,1)}
      35:{1,2,3,6}:{(26,1),(46,1),(67,1)}
      36:{1,2,4}:{(26,1),(47,1)}
      37:{2,3,5,6}:{(28,1),(30,1),(50,1)}
      38:{2,3,4}:{(31,1),(47,1),(51,1)}
      39:{2,4,5}:{(27,1),(51,1),(52,1)}
      40:{1,3,4,6}:{(27,1),(28,1),(33,1),(50,1),(52,1),(55,1),(67,1),(74,1)}
      41:{1,3,4,6}:{(29,1),(31,1),(49,1),(53,1),(55,1)}
      42:{1,2,4,5}:{(29,1),(53,1),(68,1)}
      43:{1,4,5,6}:{(30,1),(33,1),(50,1),(74,1)}
      44:{1,3,5}:{(31,1),(32,1),(51,1),(55,1)}
      45:{1,2,4,6}:{(32,1),(33,1),(34,1),(52,1),(55,1)}
      46:{1,2,4,6}:{(35,1),(36,1),(56,1),(57,1)}
      47:{1,3,4}:{(36,1),(38,1),(58,1)}
      48:{1,2,4,5}:{(36,1),(39,1),(57,1),(58,1),(59,1),(71,1)}
      49:{2,3,4,6}:{(38,1),(41,1),(56,1),(60,1),(62,1),(73,1)}
      50:{1,3,5,6}:{(37,1),(40,1),(43,1),(61,1)}
      51:{2,3,5}:{(38,1),(39,1),(44,1),(58,1),(62,1)}
      52:{2,4,6}:{(39,1),(40,1),(61,1),(62,1)}
      53:{1,3,5}:{(41,1),(42,1),(60,1)}
      54:{1,2,4,5,6}:{(42,1),(43,1),(45,1),(61,1),(64,1),(73,1)}
      55:{1,3,6}:{(44,1),(45,1),(62,1)}
      56:{1,3,4,6}:{(46,1),(47,1),(49,1),(65,1),(67,1),(74,1)}
      57:{1,2,5}:{(46,1),(65,1)}
      58:{1,3,5}:{(47,1),(48,1),(51,1),(67,1)}
      59:{1,2,4,6}:{(48,1),(52,1),(66,1),(67,1),(74,1)}
      60:{2,3,5}:{(49,1),(53,1),(65,1),(68,1)}
      61:{2,5,6}:{(50,1),(52,1)}
      62:{2,3,6}:{(51,1),(52,1),(55,1),(67,1)}
      63:{1,3,4,5}:{(53,1),(68,1),(70,1)}
      64:{1,3,5,6}:{(53,1),(54,1),(55,1),(69,1),(70,1)}
      65:{1,3,5}:{(56,1),(57,1),(60,1),(71,1)}
      66:{1,2,5,6}:{(57,1),(59,1),(61,1),(72,1)}
      67:{1,3,6}:{(58,1),(59,1),(62,1)}
      68:{2,4,5}:{(60,1),(63,1),(71,1),(73,1)}
      69:{2,3,5,6}:{(60,1),(61,1),(62,1),(64,1),(72,1),(73,1)}
      70:{1,3,4,6}:{(63,1),(64,1),(73,1)}
      71:{1,4,5}:{(65,1),(68,1),(74,1)}
      72:{1,3,5,6}:{(65,1),(66,1),(67,1),(69,1),(74,1)}
      73:{2,4,6}:{(68,1),(69,1),(70,1),(74,1)}
      74:{1,4,6}:{(71,1),(72,1),(73,1)}

566 :  0:{1,3,4,5,6}:{(1,1),(7,1),(18,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(24,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(26,1),(31,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(24,1),(32,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(20,1),(36,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1)}
       8:{1,2,4,5,6}:{(4,1),(11,1),(12,1),(19,1),(24,1),(36,1),(39,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(14,1),(27,1),(30,1)}
      10:{2,4,5}:{(6,1),(14,1),(15,1)}
      11:{2,5,6}:{(7,1),(14,1)}
      12:{1,3,5,6}:{(8,1),(17,1),(18,1),(27,1),(38,1)}
      13:{1,2,4,5}:{(10,1),(19,1),(20,1),(33,1),(36,1),(39,1)}
      14:{2,4,6}:{(9,1),(10,1),(11,1),(21,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(39,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(21,1),(23,1),(24,1),(32,1),(35,1),(39,1)}
      18:{1,3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(27,1),(30,1),(37,1)}
      20:{1,3,5}:{(13,1),(15,1),(26,1),(27,1),(28,1)}
      21:{2,3,6}:{(14,1),(15,1),(27,1)}
      22:{2,3,4}:{(15,1),(28,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(27,1),(30,1),(38,1)}
      24:{2,4,6}:{(17,1),(18,1),(30,1),(31,1)}
      25:{1,3,4,5}:{(18,1),(31,1),(38,1)}
      26:{2,3,5}:{(20,1),(32,1),(33,1),(39,1)}
      27:{1,3,6}:{(19,1),(20,1),(21,1),(32,1)}
      28:{1,3,4}:{(20,1),(22,1),(33,1)}
      29:{2,3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      30:{1,4,6}:{(23,1),(24,1),(36,1)}
      31:{2,4,5}:{(24,1),(25,1),(35,1),(36,1),(39,1)}
      32:{2,3,6}:{(26,1),(27,1),(37,1)}
      33:{2,4}:{(26,1),(28,1)}
      34:{1,3,4,6}:{(27,1),(28,1),(29,1),(30,1),(37,1),(38,1)}
      35:{2,3,5}:{(29,1),(31,1),(38,1)}
      36:{1,4,5}:{(30,1),(31,1),(38,1)}
      37:{2,4,6}:{(32,1),(33,1),(34,1),(39,1)}
      38:{1,3,5}:{(34,1),(35,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

567 :  0:{3,4,5,6}:{(2,1),(42,1)}
       1:{2,3,4,5}:{(3,1),(4,1),(25,1),(43,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1),(39,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1),(30,1),(39,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1),(18,1),(29,1),(40,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(9,1)}
       6:{1,4,5,6}:{(2,1),(9,1),(10,1),(35,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(9,1),(11,1),(22,1),(23,1),(35,1)}
       8:{2,4,5}:{(4,1),(11,1),(13,1)}
       9:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1),(15,1)}
      10:{2,4,5,6}:{(6,1),(14,1),(15,1),(28,1)}
      11:{2,4,6}:{(7,1),(8,1),(14,1),(17,1)}
      12:{1,2,4,5}:{(8,1),(16,1),(18,1),(33,1),(40,1),(41,1)}
      13:{2,3,5}:{(8,1),(17,1),(18,1),(19,1)}
      14:{2,5,6}:{(9,1),(11,1)}
      15:{3,5,6}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(20,1),(23,1),(35,1),(37,1)}
      17:{2,3,6}:{(11,1),(13,1),(23,1)}
      18:{1,3,5}:{(12,1),(13,1),(23,1),(25,1),(26,1)}
      19:{2,3,4}:{(13,1),(26,1)}
      20:{1,2,5,6}:{(14,1),(16,1),(27,1),(41,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(17,1),(27,1),(28,1),(32,1)}
      22:{3,4,6}:{(15,1),(28,1),(29,1)}
      23:{1,3,6}:{(16,1),(17,1),(18,1),(30,1)}
      24:{2,3,4,6}:{(17,1),(19,1),(28,1),(31,1),(32,1)}
      25:{2,3,5}:{(18,1),(30,1),(33,1),(41,1)}
      26:{1,3,4}:{(18,1),(19,1),(33,1)}
      27:{1,3,5,6}:{(20,1),(21,1),(23,1),(34,1),(35,1),(38,1)}
      28:{2,4,6}:{(21,1),(22,1),(35,1),(36,1)}
      29:{3,4,5}:{(22,1),(36,1)}
      30:{2,3,6}:{(23,1),(25,1),(37,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(26,1),(35,1),(37,1),(38,1),(42,1)}
      32:{2,3,5}:{(24,1),(36,1),(38,1)}
      33:{2,4}:{(25,1),(26,1)}
      34:{2,3,5,6}:{(27,1),(30,1),(39,1),(41,1),(44,1)}
      35:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      36:{2,4,5}:{(28,1),(29,1),(32,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{1,3,5}:{(31,1),(32,1),(40,1),(41,1),(44,1)}
      39:{2,4,6}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(35,1),(36,1),(38,1),(43,1)}
      41:{2,5}:{(37,1),(38,1)}
      42:{3,4,6}:{(39,1),(44,1)}
      43:{2,4,5}:{(39,1),(40,1),(41,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

568 :  0:{1,2,4,5,6}:{(1,1),(5,1),(13,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(24,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(20,1),(21,1)}
       4:{1,3,4,5}:{(2,1),(8,1),(15,1),(26,1)}
       5:{2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,3,4,6}:{(5,1),(11,1),(12,1),(21,1),(28,1)}
       8:{2,4,5}:{(4,1),(5,1),(11,1),(13,1),(20,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(20,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(9,1),(15,1),(16,1),(18,1),(24,1),(26,1),(29,1)}
      13:{1,4,5}:{(8,1),(9,1),(15,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(20,1)}
      16:{2,4,6}:{(12,1),(20,1),(21,1),(28,1)}
      17:{1,2,4,5}:{(13,1),(14,1),(20,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(21,1),(22,1)}
      19:{1,2,4,6}:{(16,1),(23,1),(24,1),(29,1)}
      20:{2,5}:{(15,1),(16,1)}
      21:{2,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,3,5}:{(17,1),(18,1),(25,1),(26,1)}
      23:{1,2,5}:{(19,1),(20,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{2,3,5}:{(20,1),(21,1),(22,1),(27,1),(28,1)}
      26:{1,3,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{2,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

569 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(43,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(25,1),(38,1)}
       2:{1,3,4,5}:{(0,1),(5,1),(6,1),(13,1),(40,1),(41,1)}
       3:{3,4,5,6}:{(8,1),(42,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(20,1),(34,1),(36,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,5}:{(6,1),(12,1),(13,1),(26,1),(39,1),(40,1)}
       8:{2,4,5,6}:{(3,1),(4,1),(14,1),(38,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(29,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{2,3,5}:{(6,1),(13,1),(16,1),(17,1)}
      12:{1,2,4,6}:{(7,1),(10,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,3,5}:{(7,1),(11,1),(18,1),(20,1),(21,1)}
      14:{1,4,5,6}:{(8,1),(9,1),(22,1),(34,1)}
      15:{2,5,6}:{(9,1),(10,1)}
      16:{2,3,6}:{(10,1),(11,1),(20,1)}
      17:{2,3,4}:{(11,1),(21,1)}
      18:{2,3,5}:{(13,1),(25,1),(26,1),(39,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(27,1),(39,1)}
      20:{1,3,6}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,3,4}:{(13,1),(17,1),(26,1)}
      22:{2,4,5,6}:{(14,1),(15,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(27,1),(29,1),(30,1),(31,1)}
      24:{2,3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1)}
      25:{2,3,6}:{(18,1),(20,1),(33,1)}
      26:{2,4}:{(18,1),(21,1)}
      27:{1,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1)}
      28:{1,3,4,6}:{(20,1),(21,1),(24,1),(33,1),(34,1),(35,1),(42,1)}
      29:{3,5,6}:{(22,1),(36,1)}
      30:{2,4,6}:{(23,1),(34,1),(36,1),(37,1)}
      31:{2,3,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(38,1),(39,1),(44,1)}
      33:{2,4,6}:{(25,1),(26,1),(28,1),(39,1)}
      34:{1,4,6}:{(27,1),(30,1),(38,1),(40,1)}
      35:{1,3,5}:{(28,1),(31,1),(39,1),(40,1),(44,1)}
      36:{3,4,6}:{(29,1),(30,1),(41,1)}
      37:{2,4,5}:{(30,1),(31,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(34,1),(42,1),(43,1)}
      39:{2,5}:{(33,1),(35,1)}
      40:{1,4,5}:{(34,1),(35,1),(37,1),(43,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{3,4,6}:{(38,1),(44,1)}
      43:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

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

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

572 :  0:{2,3,4,5,6}:{(1,1),(7,1),(25,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(28,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(31,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(11,1),(19,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(27,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
       6:{2,3,4,6}:{(4,1),(8,1),(9,1)}
       7:{2,3,5,6}:{(5,1),(11,1),(20,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(11,1),(12,1)}
       9:{2,3,4,5}:{(6,1),(12,1),(27,1)}
      10:{1,2,3,5,6}:{(7,1),(14,1),(23,1),(32,1)}
      11:{2,4,6}:{(7,1),(8,1),(16,1)}
      12:{1,3,4,5}:{(8,1),(9,1),(16,1),(23,1)}
      13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
      15:{2,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(20,1)}
      17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
      18:{1,3,4,6}:{(14,1),(15,1),(22,1),(23,1)}
      19:{1,2,4,5}:{(14,1),(16,1),(23,1),(31,1)}
      20:{2,3,5}:{(15,1),(16,1),(23,1)}
      21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
      22:{2,3,4,6}:{(18,1),(27,1),(34,1)}
      23:{1,3,5}:{(18,1),(19,1),(20,1),(27,1)}
      24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
      25:{2,3,4,5}:{(20,1),(28,1),(30,1)}
      26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
      27:{2,3,5}:{(22,1),(23,1),(31,1)}
      28:{1,3,4,5}:{(23,1),(25,1),(31,1),(33,1)}
      29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
      30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
      31:{2,4,5}:{(27,1),(28,1),(34,1)}
      32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,6}:{(31,1),(32,1),(33,1)}

573 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

574 :  0:{1,2,3,5,6}:{(1,1),(5,1),(17,1),(28,1),(66,1),(70,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(23,1),(40,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1),(51,1),(70,1)}
       3:{1,2,4,5}:{(1,1),(5,1),(13,1)}
       4:{2,3,4,6}:{(2,1),(9,1),(10,1),(23,1),(41,1),(64,1)}
       5:{1,3,5}:{(2,1),(3,1),(10,1)}
       6:{1,2,4,5,6}:{(3,1),(11,1),(23,1),(39,1),(59,1),(63,1)}
       7:{1,3,4,5}:{(5,1),(13,1),(14,1)}
       8:{1,2,3,6}:{(12,1),(15,1),(55,1)}
       9:{1,3,4,6}:{(4,1),(15,1),(16,1),(31,1),(33,1),(55,1)}
      10:{2,3,5}:{(4,1),(5,1),(13,1),(16,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(14,1),(17,1),(70,1)}
      12:{1,2,3,5}:{(8,1),(21,1),(24,1),(44,1)}
      13:{2,4,5}:{(7,1),(10,1),(22,1),(23,1)}
      14:{1,3,4,6}:{(7,1),(11,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(21,1),(24,1)}
      16:{1,3,5}:{(9,1),(10,1),(22,1),(24,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(23,1),(25,1),(59,1),(64,1)}
      18:{1,2,3,5,6}:{(12,1),(26,1),(34,1),(49,1),(55,1),(68,1)}
      19:{1,3,4,5,6}:{(14,1),(27,1),(48,1),(69,1)}
      20:{2,3,4,5}:{(13,1),(29,1),(30,1),(53,1),(67,1)}
      21:{1,2,4}:{(12,1),(31,1)}
      22:{1,4,5}:{(13,1),(16,1),(33,1)}
      23:{2,4,6}:{(13,1),(14,1),(17,1),(33,1)}
      24:{1,2,5}:{(15,1),(16,1)}
      25:{1,3,5,6}:{(16,1),(17,1),(33,1),(34,1),(55,1)}
      26:{1,2,4,6}:{(18,1),(21,1),(37,1),(38,1),(73,1)}
      27:{2,4,5,6}:{(19,1),(23,1),(36,1),(39,1),(59,1),(73,1)}
      28:{1,2,3,5}:{(35,1),(40,1),(57,1),(62,1)}
      29:{1,3,4,5}:{(20,1),(22,1),(42,1),(43,1),(44,1),(62,1),(71,1)}
      30:{2,3,4,6}:{(20,1),(23,1),(36,1),(43,1),(64,1),(73,1)}
      31:{1,3,4}:{(21,1),(41,1),(44,1)}
      32:{1,2,4,5}:{(21,1),(22,1),(24,1),(42,1),(44,1),(45,1)}
      33:{1,4,6}:{(22,1),(23,1),(25,1)}
      34:{1,2,5,6}:{(24,1),(25,1),(45,1),(59,1)}
      35:{1,2,3,6}:{(28,1),(46,1),(70,1)}
      36:{2,3,5,6}:{(27,1),(30,1),(48,1)}
      37:{1,3,4,6}:{(26,1),(31,1),(47,1),(49,1),(55,1)}
      38:{1,2,4,5}:{(26,1),(49,1),(67,1)}
      39:{1,4,5,6}:{(27,1),(33,1),(48,1),(74,1)}
      40:{1,2,4}:{(28,1),(51,1)}
      41:{2,3,4}:{(31,1),(51,1),(53,1)}
      42:{2,4,5}:{(29,1),(53,1),(54,1)}
      43:{1,3,4,6}:{(29,1),(30,1),(33,1),(48,1),(54,1),(55,1),(70,1),(74,1)}
      44:{1,3,5}:{(31,1),(32,1),(53,1),(55,1)}
      45:{1,2,4,6}:{(32,1),(33,1),(34,1),(54,1),(55,1)}
      46:{1,2,4,6}:{(35,1),(40,1),(56,1),(57,1)}
      47:{2,3,4,6}:{(37,1),(41,1),(56,1),(58,1),(64,1),(73,1)}
      48:{1,3,5,6}:{(36,1),(39,1),(43,1),(59,1)}
      49:{1,3,5}:{(37,1),(38,1),(58,1)}
      50:{1,2,4,5,6}:{(38,1),(39,1),(45,1),(59,1),(61,1),(73,1)}
      51:{1,3,4}:{(40,1),(41,1),(62,1)}
      52:{1,2,4,5}:{(40,1),(42,1),(57,1),(62,1),(63,1),(71,1)}
      53:{2,3,5}:{(41,1),(42,1),(44,1),(62,1),(64,1)}
      54:{2,4,6}:{(42,1),(43,1),(59,1),(64,1)}
      55:{1,3,6}:{(44,1),(45,1),(64,1)}
      56:{1,3,4,6}:{(46,1),(47,1),(51,1),(65,1),(70,1),(74,1)}
      57:{1,2,5}:{(46,1),(65,1)}
      58:{2,3,5}:{(47,1),(49,1),(65,1),(67,1)}
      59:{2,5,6}:{(48,1),(54,1)}
      60:{1,3,4,5}:{(49,1),(67,1),(69,1)}
      61:{1,3,5,6}:{(49,1),(50,1),(55,1),(68,1),(69,1)}
      62:{1,3,5}:{(51,1),(52,1),(53,1),(70,1)}
      63:{1,2,4,6}:{(52,1),(54,1),(66,1),(70,1),(74,1)}
      64:{2,3,6}:{(53,1),(54,1),(55,1),(70,1)}
      65:{1,3,5}:{(56,1),(57,1),(58,1),(71,1)}
      66:{1,2,5,6}:{(57,1),(59,1),(63,1),(72,1)}
      67:{2,4,5}:{(58,1),(60,1),(71,1),(73,1)}
      68:{2,3,5,6}:{(58,1),(59,1),(61,1),(64,1),(72,1),(73,1)}
      69:{1,3,4,6}:{(60,1),(61,1),(73,1)}
      70:{1,3,6}:{(62,1),(63,1),(64,1)}
      71:{1,4,5}:{(65,1),(67,1),(74,1)}
      72:{1,3,5,6}:{(65,1),(66,1),(68,1),(70,1),(74,1)}
      73:{2,4,6}:{(67,1),(68,1),(69,1),(74,1)}
      74:{1,4,6}:{(71,1),(72,1),(73,1)}

575 :  0:{1,3,4,5,6}:{(1,1),(7,1),(18,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(24,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(28,1),(31,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(24,1),(32,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(21,1),(36,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1)}
       8:{1,2,4,5,6}:{(4,1),(11,1),(12,1),(19,1),(24,1),(36,1),(39,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(13,1),(26,1),(30,1)}
      10:{2,4,5}:{(6,1),(13,1),(15,1)}
      11:{2,5,6}:{(7,1),(13,1)}
      12:{1,3,5,6}:{(8,1),(17,1),(18,1),(26,1),(38,1)}
      13:{2,4,6}:{(9,1),(10,1),(11,1),(20,1)}
      14:{1,2,4,5}:{(10,1),(19,1),(21,1),(35,1),(36,1),(39,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(39,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(20,1),(23,1),(24,1),(32,1),(34,1),(39,1)}
      18:{1,3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(26,1),(30,1),(37,1)}
      20:{2,3,6}:{(13,1),(15,1),(26,1)}
      21:{1,3,5}:{(14,1),(15,1),(26,1),(28,1),(29,1)}
      22:{2,3,4}:{(15,1),(29,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(26,1),(30,1),(38,1)}
      24:{2,4,6}:{(17,1),(18,1),(30,1),(31,1)}
      25:{1,3,4,5}:{(18,1),(31,1),(38,1)}
      26:{1,3,6}:{(19,1),(20,1),(21,1),(32,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(24,1),(33,1),(34,1)}
      28:{2,3,5}:{(21,1),(32,1),(35,1),(39,1)}
      29:{1,3,4}:{(21,1),(22,1),(35,1)}
      30:{1,4,6}:{(23,1),(24,1),(36,1)}
      31:{2,4,5}:{(24,1),(25,1),(34,1),(36,1),(39,1)}
      32:{2,3,6}:{(26,1),(28,1),(37,1)}
      33:{1,3,4,6}:{(26,1),(27,1),(29,1),(30,1),(37,1),(38,1)}
      34:{2,3,5}:{(27,1),(31,1),(38,1)}
      35:{2,4}:{(28,1),(29,1)}
      36:{1,4,5}:{(30,1),(31,1),(38,1)}
      37:{2,4,6}:{(32,1),(33,1),(35,1),(39,1)}
      38:{1,3,5}:{(33,1),(34,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

576 :  0:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(39,1),(57,1),(58,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(18,1),(50,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(12,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1),(58,1),(59,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(18,1),(33,1),(47,1),(51,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(10,1),(18,1),(52,1),(53,1)}
       7:{1,3,4,5}:{(5,1),(11,1),(12,1)}
       8:{1,3,5,6}:{(4,1),(5,1),(11,1),(13,1),(58,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1),(14,1)}
      10:{1,3,4,6}:{(6,1),(14,1),(15,1),(26,1),(44,1),(45,1)}
      11:{1,3,4,6}:{(7,1),(8,1),(18,1)}
      12:{2,4,5}:{(7,1),(9,1),(18,1),(19,1)}
      13:{2,3,5,6}:{(8,1),(9,1),(18,1),(20,1),(51,1),(52,1)}
      14:{1,3,5}:{(9,1),(10,1),(19,1),(21,1)}
      15:{1,2,4,6}:{(10,1),(21,1),(22,1),(37,1)}
      16:{2,3,4,5}:{(12,1),(23,1),(24,1),(42,1),(73,1)}
      17:{1,3,4,5,6}:{(11,1),(25,1),(40,1),(63,1)}
      18:{2,4,6}:{(11,1),(12,1),(13,1),(26,1)}
      19:{1,4,5}:{(12,1),(14,1),(26,1)}
      20:{1,3,5,6}:{(13,1),(14,1),(26,1),(28,1),(44,1)}
      21:{1,2,5}:{(14,1),(15,1)}
      22:{1,2,3,6}:{(15,1),(29,1),(44,1)}
      23:{2,3,4,6}:{(16,1),(18,1),(30,1),(31,1),(52,1),(68,1)}
      24:{1,3,4,5}:{(16,1),(19,1),(31,1),(32,1),(35,1),(48,1),(74,1)}
      25:{2,4,5,6}:{(17,1),(18,1),(30,1),(33,1),(51,1),(68,1)}
      26:{1,4,6}:{(18,1),(19,1),(20,1)}
      27:{1,2,4,5}:{(19,1),(21,1),(32,1),(34,1),(35,1),(37,1)}
      28:{1,2,5,6}:{(20,1),(21,1),(34,1),(51,1)}
      29:{1,2,3,5}:{(21,1),(22,1),(35,1),(37,1)}
      30:{2,3,5,6}:{(23,1),(25,1),(40,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(26,1),(40,1),(41,1),(44,1),(58,1),(71,1)}
      32:{2,4,5}:{(24,1),(41,1),(42,1)}
      33:{1,4,5,6}:{(25,1),(26,1),(40,1),(71,1)}
      34:{1,2,4,6}:{(26,1),(27,1),(28,1),(41,1),(44,1)}
      35:{1,3,5}:{(27,1),(42,1),(44,1),(45,1)}
      36:{1,2,3,5,6}:{(28,1),(29,1),(44,1),(46,1),(61,1),(64,1)}
      37:{1,2,4}:{(29,1),(45,1)}
      38:{1,2,4,5}:{(32,1),(47,1),(48,1),(50,1),(67,1),(74,1)}
      39:{1,2,3,5}:{(48,1),(49,1),(50,1),(67,1)}
      40:{1,3,5,6}:{(30,1),(31,1),(33,1),(51,1)}
      41:{2,4,6}:{(31,1),(32,1),(51,1),(52,1)}
      42:{2,3,5}:{(32,1),(35,1),(48,1),(52,1),(53,1)}
      43:{1,2,4,5,6}:{(33,1),(34,1),(51,1),(54,1),(56,1),(68,1)}
      44:{1,3,6}:{(34,1),(35,1),(52,1)}
      45:{1,3,4}:{(35,1),(37,1),(53,1)}
      46:{1,2,4,6}:{(36,1),(37,1),(55,1),(56,1),(68,1)}
      47:{1,2,4,6}:{(38,1),(41,1),(57,1),(58,1),(71,1)}
      48:{1,3,5}:{(38,1),(42,1),(58,1),(59,1)}
      49:{1,2,3,6}:{(39,1),(58,1),(60,1)}
      50:{1,2,4}:{(39,1),(59,1)}
      51:{2,5,6}:{(40,1),(41,1)}
      52:{2,3,6}:{(41,1),(42,1),(44,1),(58,1)}
      53:{2,3,4}:{(42,1),(45,1),(59,1)}
      54:{1,3,5,6}:{(43,1),(44,1),(61,1),(63,1),(64,1)}
      55:{1,3,4,6}:{(44,1),(45,1),(46,1),(62,1),(64,1)}
      56:{1,2,4,5}:{(46,1),(64,1),(73,1)}
      57:{1,2,5,6}:{(47,1),(51,1),(65,1),(67,1)}
      58:{1,3,6}:{(47,1),(48,1),(52,1)}
      59:{1,3,4}:{(48,1),(50,1),(53,1)}
      60:{1,2,4,6}:{(49,1),(50,1),(66,1),(67,1)}
      61:{2,3,5,6}:{(51,1),(52,1),(54,1),(65,1),(68,1),(69,1)}
      62:{2,3,4,6}:{(52,1),(53,1),(55,1),(66,1),(68,1),(69,1)}
      63:{1,3,4,6}:{(54,1),(68,1),(70,1)}
      64:{1,3,5}:{(55,1),(56,1),(69,1)}
      65:{1,3,5,6}:{(57,1),(58,1),(61,1),(71,1),(72,1)}
      66:{1,3,4,6}:{(58,1),(59,1),(60,1),(62,1),(71,1),(72,1)}
      67:{1,2,5}:{(60,1),(72,1)}
      68:{2,4,6}:{(61,1),(63,1),(71,1),(73,1)}
      69:{2,3,5}:{(62,1),(64,1),(72,1),(73,1)}
      70:{1,3,4,5}:{(63,1),(64,1),(73,1)}
      71:{1,4,6}:{(65,1),(68,1),(74,1)}
      72:{1,3,5}:{(66,1),(67,1),(69,1),(74,1)}
      73:{2,4,5}:{(68,1),(69,1),(70,1),(74,1)}
      74:{1,4,5}:{(71,1),(72,1),(73,1)}

577 :  0:{1,2,3,5}:{(1,1),(2,1),(11,1),(12,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(23,1),(35,1)}
       2:{1,2,4}:{(0,1),(5,1)}
       3:{1,2,3}:{(8,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(47,1),(68,1)}
       5:{1,3,4}:{(2,1),(9,1),(12,1)}
       6:{1,2,4,5}:{(2,1),(11,1),(12,1),(13,1),(30,1),(32,1)}
       7:{1,2,3,6}:{(3,1),(14,1),(15,1),(62,1)}
       8:{1,2,4}:{(3,1),(16,1),(17,1)}
       9:{2,3,4}:{(5,1),(16,1),(19,1)}
      10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(45,1),(58,1),(75,1)}
      11:{1,2,5}:{(4,1),(20,1)}
      12:{1,3,5}:{(5,1),(6,1),(19,1),(23,1)}
      13:{1,2,4,6}:{(6,1),(21,1),(23,1),(44,1),(45,1)}
      14:{1,2,3,5}:{(7,1),(24,1),(26,1),(49,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(26,1),(28,1)}
      16:{1,3,4}:{(8,1),(9,1),(27,1)}
      17:{1,2,5}:{(8,1),(27,1),(28,1)}
      18:{2,3,4,6}:{(9,1),(10,1),(25,1),(29,1),(31,1),(48,1),(55,1),(70,1)}
      19:{2,3,5}:{(9,1),(12,1),(27,1),(30,1),(31,1)}
      20:{1,3,5}:{(10,1),(11,1),(29,1),(32,1)}
      21:{1,2,5,6}:{(11,1),(13,1),(33,1),(56,1),(68,1)}
      22:{1,3,4,5}:{(12,1),(30,1),(32,1),(34,1),(54,1)}
      23:{1,3,6}:{(12,1),(13,1),(31,1)}
      24:{1,2,4}:{(14,1),(36,1)}
      25:{1,3,4,6}:{(15,1),(16,1),(18,1),(36,1),(38,1),(41,1),(62,1),(63,1)}
      26:{1,2,5}:{(15,1),(38,1)}
      27:{1,3,5}:{(16,1),(17,1),(19,1),(40,1),(41,1)}
      28:{1,2,6}:{(17,1),(41,1)}
      29:{2,3,5}:{(18,1),(20,1),(38,1),(42,1)}
      30:{2,4,5}:{(19,1),(22,1),(40,1),(44,1)}
      31:{2,3,6}:{(19,1),(23,1),(41,1),(44,1)}
      32:{1,4,5}:{(20,1),(42,1),(45,1)}
      33:{1,3,5,6}:{(20,1),(21,1),(23,1),(43,1),(45,1),(75,1),(80,1)}
      34:{1,3,4,6}:{(22,1),(23,1),(44,1),(45,1),(46,1),(65,1)}
      35:{1,2,3}:{(47,1)}
      36:{1,3,4}:{(24,1),(48,1),(49,1)}
      37:{1,2,4,5}:{(24,1),(26,1),(49,1),(50,1),(51,1),(69,1)}
      38:{1,3,5}:{(25,1),(26,1),(29,1),(51,1)}
      39:{1,2,5,6}:{(26,1),(28,1),(50,1),(52,1),(79,1)}
      40:{1,4,5}:{(27,1),(30,1),(53,1)}
      41:{1,3,6}:{(27,1),(28,1),(31,1),(53,1)}
      42:{2,4,5}:{(29,1),(32,1),(51,1),(54,1),(55,1)}
      43:{2,3,5,6}:{(29,1),(31,1),(33,1),(52,1),(55,1),(56,1),(70,1),(73,1),(79,1)}
      44:{2,4,6}:{(30,1),(31,1),(34,1),(53,1),(56,1)}
      45:{1,4,6}:{(32,1),(33,1),(55,1)}
      46:{1,3,5,6}:{(34,1),(56,1),(57,1),(73,1)}
      47:{1,2,4}:{(35,1),(58,1),(59,1)}
      48:{2,3,4}:{(36,1),(58,1),(60,1)}
      49:{1,3,5}:{(36,1),(37,1),(60,1),(62,1)}
      50:{1,2,4,6}:{(37,1),(39,1),(62,1),(63,1),(76,1)}
      51:{1,4,5}:{(38,1),(42,1),(63,1)}
      52:{1,3,5,6}:{(38,1),(39,1),(41,1),(43,1),(62,1),(63,1),(64,1)}
      53:{1,4,6}:{(40,1),(41,1),(44,1),(64,1)}
      54:{3,4,5}:{(42,1),(65,1)}
      55:{2,4,6}:{(42,1),(43,1),(45,1),(63,1),(65,1)}
      56:{2,5,6}:{(44,1),(46,1),(64,1)}
      57:{1,4,5,6}:{(45,1),(46,1),(66,1),(80,1)}
      58:{1,3,4}:{(47,1),(48,1),(67,1)}
      59:{1,2,5}:{(47,1),(67,1),(68,1)}
      60:{2,3,5}:{(48,1),(49,1),(67,1),(69,1),(70,1)}
      61:{1,3,4,5}:{(49,1),(51,1),(54,1),(69,1),(71,1)}
      62:{1,3,6}:{(49,1),(50,1),(70,1)}
      63:{1,4,6}:{(51,1),(52,1),(55,1)}
      64:{1,5,6}:{(53,1),(56,1)}
      65:{3,4,6}:{(54,1),(55,1),(73,1)}
      66:{2,4,5,6}:{(55,1),(56,1),(57,1),(72,1),(73,1),(79,1)}
      67:{1,3,5}:{(58,1),(59,1),(60,1),(74,1),(75,1)}
      68:{1,2,6}:{(59,1),(75,1)}
      69:{2,4,5}:{(60,1),(61,1),(74,1),(76,1)}
      70:{2,3,6}:{(60,1),(62,1),(75,1),(76,1)}
      71:{1,3,4,6}:{(61,1),(62,1),(63,1),(65,1),(76,1),(77,1)}
      72:{1,4,5,6}:{(63,1),(64,1),(66,1),(77,1)}
      73:{3,5,6}:{(65,1),(66,1)}
      74:{1,4,5}:{(67,1),(69,1),(78,1)}
      75:{1,3,6}:{(67,1),(68,1),(70,1),(78,1)}
      76:{2,4,6}:{(69,1),(70,1),(71,1),(78,1),(79,1)}
      77:{1,3,5,6}:{(71,1),(72,1),(73,1),(79,1)}
      78:{1,4,6}:{(74,1),(75,1),(76,1),(80,1)}
      79:{2,5,6}:{(76,1),(77,1),(80,1)}
      80:{1,5,6}:{(78,1),(79,1)}

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

579 :  0:{2,3,4,5}:{(1,1),(2,1),(27,1),(61,1)}
       1:{1,3,4,5}:{(0,1),(4,1),(5,1),(18,1),(59,1),(60,1)}
       2:{2,3,4,6}:{(0,1),(5,1),(6,1),(39,1),(57,1)}
       3:{2,3,4,5}:{(7,1),(8,1),(11,1),(54,1)}
       4:{2,4,5}:{(1,1),(11,1),(12,1)}
       5:{1,3,4,6}:{(1,1),(2,1),(12,1),(13,1),(32,1),(53,1),(55,1)}
       6:{2,3,5,6}:{(2,1),(13,1),(14,1)}
       7:{1,3,4,5}:{(3,1),(15,1),(16,1),(18,1),(59,1),(63,1)}
       8:{2,3,4,6}:{(3,1),(16,1),(17,1),(23,1),(47,1)}
       9:{1,2,4,5}:{(4,1),(15,1),(18,1),(19,1),(20,1),(45,1),(59,1)}
      10:{1,2,3,5}:{(18,1),(20,1),(21,1),(45,1)}
      11:{2,3,5}:{(4,1),(18,1),(22,1),(23,1)}
      12:{2,4,6}:{(4,1),(5,1),(23,1),(24,1)}
      13:{1,3,5,6}:{(5,1),(6,1),(24,1),(25,1),(48,1)}
      14:{2,4,5,6}:{(6,1),(25,1),(26,1),(57,1)}
      15:{2,4,5}:{(7,1),(27,1),(28,1)}
      16:{1,3,4,6}:{(7,1),(8,1),(28,1),(29,1),(32,1),(53,1),(62,1)}
      17:{2,3,5,6}:{(8,1),(29,1),(30,1)}
      18:{1,3,5}:{(9,1),(11,1),(27,1),(31,1),(32,1)}
      19:{1,2,4,6}:{(9,1),(12,1),(28,1),(32,1),(33,1),(53,1)}
      20:{1,2,4}:{(10,1),(31,1)}
      21:{1,2,3,6}:{(10,1),(32,1),(34,1)}
      22:{2,3,4}:{(11,1),(31,1)}
      23:{2,3,6}:{(11,1),(12,1),(32,1)}
      24:{2,5,6}:{(12,1),(13,1)}
      25:{1,4,5,6}:{(13,1),(14,1),(37,1),(53,1)}
      26:{3,4,5,6}:{(14,1),(62,1)}
      27:{2,3,5}:{(15,1),(18,1),(38,1),(39,1)}
      28:{2,4,6}:{(15,1),(16,1),(39,1),(40,1)}
      29:{1,3,5,6}:{(16,1),(17,1),(40,1),(41,1),(58,1)}
      30:{2,4,5,6}:{(17,1),(41,1),(42,1),(47,1)}
      31:{1,3,4}:{(18,1),(20,1),(22,1),(38,1)}
      32:{1,3,6}:{(18,1),(19,1),(23,1),(39,1)}
      33:{1,2,5,6}:{(19,1),(24,1),(40,1),(44,1),(45,1)}
      34:{1,2,4,6}:{(20,1),(21,1),(43,1),(45,1)}
      35:{2,3,4,6}:{(22,1),(23,1),(43,1),(46,1),(47,1)}
      36:{2,3,5,6}:{(23,1),(24,1),(44,1),(46,1),(47,1),(48,1)}
      37:{2,4,5,6}:{(24,1),(25,1),(47,1),(48,1)}
      38:{2,3,4}:{(27,1),(31,1)}
      39:{2,3,6}:{(27,1),(28,1),(32,1)}
      40:{2,5,6}:{(28,1),(29,1)}
      41:{1,4,5,6}:{(29,1),(30,1),(51,1),(53,1)}
      42:{3,4,5,6}:{(30,1),(55,1)}
      43:{1,3,4,6}:{(31,1),(32,1),(34,1),(35,1),(49,1),(52,1),(53,1)}
      44:{1,3,5,6}:{(32,1),(33,1),(36,1),(50,1),(52,1),(53,1)}
      45:{1,2,5}:{(34,1),(52,1)}
      46:{2,3,5}:{(35,1),(52,1),(54,1)}
      47:{2,4,6}:{(36,1),(53,1),(54,1),(55,1)}
      48:{3,5,6}:{(37,1),(55,1)}
      49:{2,3,4,6}:{(38,1),(39,1),(43,1),(56,1),(57,1)}
      50:{2,3,5,6}:{(39,1),(40,1),(44,1),(56,1),(57,1),(58,1)}
      51:{2,4,5,6}:{(40,1),(41,1),(57,1),(58,1)}
      52:{1,3,5}:{(43,1),(45,1),(46,1),(56,1),(59,1)}
      53:{1,4,6}:{(44,1),(47,1),(57,1),(59,1)}
      54:{2,4,5}:{(46,1),(47,1),(59,1),(60,1)}
      55:{3,4,6}:{(47,1),(48,1),(60,1)}
      56:{2,3,5}:{(49,1),(52,1),(61,1)}
      57:{2,4,6}:{(50,1),(53,1),(61,1),(62,1)}
      58:{3,5,6}:{(51,1),(62,1)}
      59:{1,4,5}:{(52,1),(53,1),(54,1),(61,1)}
      60:{3,4,5}:{(54,1),(55,1)}
      61:{2,4,5}:{(56,1),(57,1),(59,1),(63,1)}
      62:{3,4,6}:{(57,1),(58,1),(63,1)}
      63:{3,4,5}:{(61,1),(62,1)}

580 :  0:{1,3,4,5,6}:{(1,1),(5,1),(15,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(9,1),(20,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,4,5,6}:{(1,1),(5,1),(26,1)}
       4:{2,3,4,6}:{(2,1),(7,1),(8,1),(20,1),(30,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,4,5,6}:{(3,1),(9,1),(10,1),(17,1),(20,1),(33,1),(39,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(27,1),(34,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(11,1),(12,1),(24,1),(26,1)}
       9:{2,5,6}:{(5,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(14,1),(15,1),(24,1),(37,1)}
      11:{1,3,4,5}:{(7,1),(8,1),(16,1),(28,1),(33,1)}
      12:{2,4,6}:{(8,1),(9,1),(16,1),(18,1)}
      13:{1,2,5,6}:{(9,1),(17,1),(19,1),(39,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(18,1),(19,1),(20,1),(30,1),(32,1),(39,1)}
      15:{1,3,4,6}:{(10,1),(20,1),(21,1)}
      16:{2,4,5}:{(11,1),(12,1),(23,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(22,1),(24,1),(26,1),(36,1)}
      18:{2,3,6}:{(12,1),(23,1),(24,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(24,1),(26,1),(37,1)}
      20:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(37,1)}
      22:{1,2,4,5}:{(16,1),(17,1),(28,1),(33,1),(38,1),(39,1)}
      23:{2,3,5}:{(16,1),(18,1),(28,1),(29,1)}
      24:{1,3,6}:{(17,1),(18,1),(28,1),(30,1)}
      25:{2,3,4,6}:{(18,1),(20,1),(29,1),(31,1),(32,1)}
      26:{1,4,6}:{(19,1),(20,1),(33,1)}
      27:{2,4,5}:{(20,1),(21,1),(32,1),(33,1),(39,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(34,1),(35,1)}
      29:{2,3,4}:{(23,1),(35,1)}
      30:{2,3,6}:{(24,1),(34,1),(36,1)}
      31:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(36,1),(37,1)}
      32:{2,3,5}:{(25,1),(27,1),(37,1)}
      33:{1,4,5}:{(26,1),(27,1),(37,1)}
      34:{2,3,5}:{(28,1),(30,1),(38,1),(39,1)}
      35:{1,3,4}:{(28,1),(29,1),(38,1)}
      36:{2,4,6}:{(30,1),(31,1),(38,1),(39,1)}
      37:{1,3,5}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,4}:{(34,1),(35,1)}
      39:{2,5}:{(36,1),(37,1)}

581 :  0:{2,3,4,5}:{(2,1),(3,1),(30,1),(49,1)}
       1:{1,2,3,5}:{(4,1),(5,1),(21,1),(22,1)}
       2:{1,3,4,5}:{(0,1),(9,1),(10,1),(22,1),(42,1),(45,1)}
       3:{2,3,4,6}:{(0,1),(7,1),(10,1),(41,1),(57,1)}
       4:{1,2,3,6}:{(1,1),(11,1),(34,1)}
       5:{1,2,4}:{(1,1),(12,1)}
       6:{3,4,5,6}:{(14,1),(61,1)}
       7:{2,3,5,6}:{(3,1),(14,1),(16,1)}
       8:{2,3,4}:{(12,1),(17,1)}
       9:{2,4,5}:{(2,1),(17,1),(18,1)}
      10:{1,3,4,6}:{(2,1),(3,1),(16,1),(18,1),(34,1),(52,1),(54,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(20,1),(21,1)}
      12:{1,3,4}:{(5,1),(8,1),(19,1),(22,1)}
      13:{1,2,4,5}:{(5,1),(9,1),(21,1),(22,1),(23,1),(40,1),(42,1)}
      14:{2,4,5,6}:{(6,1),(7,1),(24,1),(57,1)}
      15:{2,3,4,6}:{(8,1),(20,1),(25,1),(28,1),(47,1)}
      16:{1,3,5,6}:{(7,1),(10,1),(24,1),(26,1),(46,1)}
      17:{2,3,5}:{(8,1),(9,1),(22,1),(28,1)}
      18:{2,4,6}:{(9,1),(10,1),(26,1),(28,1)}
      19:{2,3,4}:{(12,1),(30,1)}
      20:{1,3,4,6}:{(11,1),(12,1),(15,1),(29,1),(31,1),(34,1),(52,1)}
      21:{1,2,5}:{(11,1),(31,1)}
      22:{1,3,5}:{(12,1),(13,1),(17,1),(30,1),(34,1)}
      23:{1,2,4,6}:{(13,1),(18,1),(32,1),(34,1),(51,1),(52,1)}
      24:{1,4,5,6}:{(14,1),(16,1),(35,1),(52,1)}
      25:{2,3,5}:{(15,1),(31,1),(36,1)}
      26:{2,5,6}:{(16,1),(18,1)}
      27:{2,3,4,5}:{(17,1),(33,1),(36,1),(38,1)}
      28:{2,3,6}:{(17,1),(18,1),(34,1)}
      29:{2,3,4,6}:{(19,1),(20,1),(39,1),(41,1),(57,1)}
      30:{2,3,5}:{(19,1),(22,1),(40,1),(41,1)}
      31:{1,3,5}:{(20,1),(21,1),(25,1),(39,1),(42,1)}
      32:{1,2,5,6}:{(21,1),(23,1),(26,1),(43,1),(58,1)}
      33:{1,3,4,5}:{(22,1),(27,1),(40,1),(42,1),(44,1),(56,1)}
      34:{1,3,6}:{(22,1),(23,1),(28,1),(41,1)}
      35:{2,4,5,6}:{(24,1),(26,1),(46,1),(47,1)}
      36:{2,4,5}:{(25,1),(42,1),(45,1),(47,1)}
      37:{2,3,5,6}:{(25,1),(26,1),(28,1),(43,1),(46,1),(47,1)}
      38:{2,3,4,6}:{(27,1),(28,1),(44,1),(47,1),(48,1)}
      39:{2,3,5}:{(29,1),(31,1),(49,1)}
      40:{2,4,5}:{(30,1),(33,1),(51,1)}
      41:{2,3,6}:{(30,1),(34,1),(51,1)}
      42:{1,4,5}:{(31,1),(36,1),(49,1),(52,1)}
      43:{1,3,5,6}:{(31,1),(32,1),(34,1),(37,1),(50,1),(52,1)}
      44:{1,3,4,6}:{(33,1),(34,1),(38,1),(51,1),(52,1),(53,1),(61,1)}
      45:{3,4,5}:{(36,1),(54,1)}
      46:{3,5,6}:{(35,1),(54,1)}
      47:{2,4,6}:{(36,1),(37,1),(52,1),(54,1)}
      48:{2,3,5,6}:{(38,1),(53,1),(55,1)}
      49:{2,4,5}:{(39,1),(42,1),(56,1),(57,1)}
      50:{2,3,5,6}:{(39,1),(41,1),(43,1),(57,1),(58,1),(63,1)}
      51:{2,4,6}:{(40,1),(41,1),(44,1),(58,1)}
      52:{1,4,6}:{(42,1),(43,1),(47,1),(57,1)}
      53:{1,3,5,6}:{(44,1),(48,1),(58,1),(59,1),(63,1)}
      54:{3,4,6}:{(45,1),(46,1),(47,1)}
      55:{2,4,5,6}:{(47,1),(48,1),(59,1),(60,1)}
      56:{3,4,5}:{(49,1),(61,1)}
      57:{2,4,6}:{(49,1),(50,1),(52,1),(61,1)}
      58:{2,5,6}:{(51,1),(53,1)}
      59:{1,4,5,6}:{(52,1),(53,1),(55,1),(62,1)}
      60:{3,4,5,6}:{(54,1),(55,1)}
      61:{3,4,6}:{(56,1),(57,1),(63,1)}
      62:{2,4,5,6}:{(57,1),(58,1),(59,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

582 :  0:{3,4,5,6}:{(2,1),(42,1)}
       1:{2,3,4,5}:{(3,1),(4,1),(23,1),(43,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1),(39,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1),(30,1),(39,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1),(17,1),(29,1),(40,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(9,1)}
       6:{1,4,5,6}:{(2,1),(9,1),(10,1),(35,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(9,1),(12,1),(22,1),(24,1),(35,1)}
       8:{2,4,5}:{(4,1),(12,1),(13,1)}
       9:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1),(15,1)}
      10:{2,4,5,6}:{(6,1),(14,1),(15,1),(28,1)}
      11:{1,2,4,5}:{(8,1),(16,1),(17,1),(31,1),(40,1),(41,1)}
      12:{2,4,6}:{(7,1),(8,1),(14,1),(18,1)}
      13:{2,3,5}:{(8,1),(17,1),(18,1),(19,1)}
      14:{2,5,6}:{(9,1),(12,1)}
      15:{3,5,6}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(20,1),(24,1),(35,1),(37,1)}
      17:{1,3,5}:{(11,1),(13,1),(23,1),(24,1),(25,1)}
      18:{2,3,6}:{(12,1),(13,1),(24,1)}
      19:{2,3,4}:{(13,1),(25,1)}
      20:{1,2,5,6}:{(14,1),(16,1),(27,1),(41,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(18,1),(27,1),(28,1),(33,1)}
      22:{3,4,6}:{(15,1),(28,1),(29,1)}
      23:{2,3,5}:{(17,1),(30,1),(31,1),(41,1)}
      24:{1,3,6}:{(16,1),(17,1),(18,1),(30,1)}
      25:{1,3,4}:{(17,1),(19,1),(31,1)}
      26:{2,3,4,6}:{(18,1),(19,1),(28,1),(32,1),(33,1)}
      27:{1,3,5,6}:{(20,1),(21,1),(24,1),(34,1),(35,1),(38,1)}
      28:{2,4,6}:{(21,1),(22,1),(35,1),(36,1)}
      29:{3,4,5}:{(22,1),(36,1)}
      30:{2,3,6}:{(23,1),(24,1),(37,1)}
      31:{2,4}:{(23,1),(25,1)}
      32:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(37,1),(38,1),(42,1)}
      33:{2,3,5}:{(26,1),(36,1),(38,1)}
      34:{2,3,5,6}:{(27,1),(30,1),(39,1),(41,1),(44,1)}
      35:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      36:{2,4,5}:{(28,1),(29,1),(33,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(32,1),(41,1)}
      38:{1,3,5}:{(32,1),(33,1),(40,1),(41,1),(44,1)}
      39:{2,4,6}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(35,1),(36,1),(38,1),(43,1)}
      41:{2,5}:{(37,1),(38,1)}
      42:{3,4,6}:{(39,1),(44,1)}
      43:{2,4,5}:{(39,1),(40,1),(41,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

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

584 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1)}
       2:{2,3,4}:{(3,1),(5,1)}
       3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
       4:{1,2,5}:{(1,1),(8,1),(9,1)}
       5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
       6:{3,4,5}:{(10,1),(12,1)}
       7:{2,3,4}:{(3,1),(13,1)}
       8:{1,3,5}:{(3,1),(4,1),(5,1),(13,1),(14,1),(15,1)}
       9:{1,2,6}:{(4,1),(15,1)}
      10:{2,4,5}:{(5,1),(6,1),(14,1),(16,1)}
      11:{2,3,6}:{(5,1),(15,1),(16,1)}
      12:{3,4,6}:{(6,1),(16,1),(17,1)}
      13:{2,3,5}:{(7,1),(8,1),(18,1),(19,1)}
      14:{1,4,5}:{(8,1),(10,1),(18,1),(20,1)}
      15:{1,3,6}:{(8,1),(9,1),(11,1),(19,1),(20,1)}
      16:{2,4,6}:{(10,1),(11,1),(12,1),(20,1),(21,1)}
      17:{3,5,6}:{(12,1),(21,1),(22,1)}
      18:{2,4,5}:{(13,1),(14,1),(23,1),(24,1)}
      19:{2,3,6}:{(13,1),(15,1),(24,1)}
      20:{1,4,6}:{(14,1),(15,1),(16,1),(24,1),(25,1)}
      21:{2,5,6}:{(16,1),(17,1),(25,1)}
      22:{4,5,6}:{(17,1)}
      23:{3,4,5}:{(18,1),(26,1)}
      24:{2,4,6}:{(18,1),(19,1),(20,1),(26,1),(27,1)}
      25:{1,5,6}:{(20,1),(21,1),(27,1)}
      26:{3,4,6}:{(23,1),(24,1),(28,1)}
      27:{2,5,6}:{(24,1),(25,1),(28,1)}
      28:{3,5,6}:{(26,1),(27,1),(29,1)}
      29:{4,5,6}:{(28,1)}

585 :  0:{3,4,5,6}:{(1,1),(60,1)}
       1:{2,4,5,6}:{(0,1),(4,1),(5,1),(56,1)}
       2:{2,3,4,5}:{(7,1),(8,1),(43,1),(47,1)}
       3:{1,2,3,6}:{(6,1),(9,1),(45,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(11,1)}
       5:{1,4,5,6}:{(1,1),(11,1),(12,1),(49,1)}
       6:{1,2,3,5}:{(3,1),(13,1),(18,1),(34,1)}
       7:{1,3,4,5}:{(2,1),(15,1),(16,1),(21,1),(34,1),(39,1)}
       8:{2,3,4,6}:{(2,1),(4,1),(16,1),(52,1),(56,1)}
       9:{1,2,4,6}:{(3,1),(13,1),(17,1),(18,1)}
      10:{2,3,4,6}:{(14,1),(17,1),(19,1),(37,1),(41,1)}
      11:{1,3,5,6}:{(4,1),(5,1),(16,1),(20,1),(22,1)}
      12:{2,4,5,6}:{(5,1),(20,1),(22,1),(41,1)}
      13:{1,2,4}:{(6,1),(23,1)}
      14:{2,3,4}:{(23,1),(25,1)}
      15:{2,4,5}:{(7,1),(25,1),(26,1)}
      16:{1,3,4,6}:{(7,1),(8,1),(11,1),(26,1),(32,1),(45,1),(49,1)}
      17:{1,3,4,6}:{(9,1),(10,1),(23,1),(27,1),(28,1),(45,1),(49,1)}
      18:{1,2,5}:{(9,1),(28,1)}
      19:{2,3,5}:{(10,1),(28,1),(30,1)}
      20:{2,5,6}:{(11,1),(26,1)}
      21:{3,4,5}:{(30,1),(32,1)}
      22:{3,5,6}:{(12,1),(32,1)}
      23:{1,3,4}:{(13,1),(14,1),(33,1),(34,1)}
      24:{1,2,4,5}:{(13,1),(15,1),(18,1),(34,1),(35,1),(39,1),(51,1)}
      25:{2,3,5}:{(14,1),(15,1),(34,1),(37,1)}
      26:{2,4,6}:{(15,1),(16,1),(20,1),(37,1)}
      27:{2,3,4,6}:{(17,1),(33,1),(38,1),(52,1),(56,1)}
      28:{1,3,5}:{(17,1),(18,1),(19,1),(38,1),(39,1)}
      29:{1,2,5,6}:{(18,1),(20,1),(35,1),(40,1),(62,1)}
      30:{2,4,5}:{(19,1),(21,1),(39,1),(41,1)}
      31:{2,3,5,6}:{(19,1),(20,1),(22,1),(37,1),(40,1),(41,1)}
      32:{3,4,6}:{(21,1),(22,1),(41,1)}
      33:{2,3,4}:{(23,1),(43,1)}
      34:{1,3,5}:{(23,1),(24,1),(25,1),(43,1),(45,1)}
      35:{1,2,4,6}:{(24,1),(26,1),(29,1),(45,1),(49,1),(58,1)}
      36:{2,3,4,5}:{(25,1),(30,1),(44,1),(46,1)}
      37:{2,3,6}:{(25,1),(26,1),(45,1)}
      38:{2,3,5}:{(27,1),(28,1),(47,1)}
      39:{1,4,5}:{(28,1),(30,1),(47,1),(49,1)}
      40:{1,3,5,6}:{(28,1),(29,1),(31,1),(45,1),(48,1),(49,1)}
      41:{2,4,6}:{(30,1),(31,1),(32,1),(49,1)}
      42:{3,4,5,6}:{(32,1),(50,1)}
      43:{2,3,5}:{(33,1),(34,1),(51,1),(52,1)}
      44:{1,3,4,5}:{(34,1),(36,1),(39,1),(51,1),(53,1),(55,1)}
      45:{1,3,6}:{(34,1),(35,1),(37,1),(52,1)}
      46:{2,3,4,6}:{(36,1),(37,1),(41,1),(53,1),(54,1)}
      47:{2,4,5}:{(38,1),(39,1),(55,1),(56,1)}
      48:{2,3,5,6}:{(38,1),(40,1),(52,1),(56,1),(62,1),(63,1)}
      49:{1,4,6}:{(39,1),(40,1),(41,1),(56,1)}
      50:{2,4,5,6}:{(41,1),(42,1),(54,1),(57,1)}
      51:{2,4,5}:{(43,1),(44,1),(58,1)}
      52:{2,3,6}:{(43,1),(45,1),(58,1)}
      53:{1,3,4,6}:{(44,1),(45,1),(46,1),(49,1),(58,1),(59,1),(60,1)}
      54:{2,3,5,6}:{(46,1),(50,1),(59,1)}
      55:{3,4,5}:{(47,1),(60,1)}
      56:{2,4,6}:{(47,1),(48,1),(49,1),(60,1)}
      57:{1,4,5,6}:{(49,1),(50,1),(59,1),(61,1)}
      58:{2,4,6}:{(51,1),(52,1),(53,1),(62,1)}
      59:{1,3,5,6}:{(53,1),(54,1),(57,1),(62,1),(63,1)}
      60:{3,4,6}:{(55,1),(56,1),(63,1)}
      61:{2,4,5,6}:{(56,1),(57,1),(62,1),(63,1)}
      62:{2,5,6}:{(58,1),(59,1)}
      63:{3,5,6}:{(60,1),(61,1)}

586 :  0:{1,2,3,5,6}:{(1,1),(7,1),(10,1),(42,1),(58,1),(69,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(15,1),(73,1)}
       2:{1,2,4,5,6}:{(3,1),(5,1),(15,1),(18,1),(34,1),(48,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(19,1)}
       4:{1,3,4,6}:{(1,1),(7,1),(8,1),(58,1),(70,1)}
       5:{1,3,5,6}:{(2,1),(7,1),(9,1),(10,1),(58,1)}
       6:{1,3,4,5,6}:{(9,1),(11,1),(25,1),(44,1)}
       7:{1,3,5}:{(3,1),(4,1),(13,1)}
       8:{2,3,4,6}:{(4,1),(13,1),(14,1),(15,1),(49,1),(64,1)}
       9:{1,3,4,6}:{(5,1),(12,1),(15,1)}
      10:{2,3,5,6}:{(5,1),(13,1),(15,1),(16,1),(34,1),(49,1)}
      11:{2,4,5,6}:{(6,1),(15,1),(17,1),(18,1),(34,1),(53,1)}
      12:{1,3,4,5}:{(7,1),(9,1),(19,1)}
      13:{2,3,5}:{(7,1),(8,1),(19,1),(20,1)}
      14:{1,3,4,6}:{(8,1),(20,1),(21,1),(23,1),(40,1),(57,1)}
      15:{2,4,6}:{(9,1),(10,1),(19,1),(23,1)}
      16:{1,3,5,6}:{(10,1),(20,1),(23,1),(24,1),(40,1)}
      17:{2,3,5,6}:{(11,1),(22,1),(25,1)}
      18:{1,4,5,6}:{(11,1),(23,1),(25,1),(61,1)}
      19:{2,4,5}:{(12,1),(13,1),(15,1),(28,1)}
      20:{1,3,5}:{(13,1),(14,1),(28,1),(29,1)}
      21:{1,2,4,6}:{(14,1),(29,1),(30,1),(47,1)}
      22:{2,3,4,6}:{(15,1),(17,1),(27,1),(31,1),(49,1),(53,1)}
      23:{1,4,6}:{(15,1),(16,1),(28,1)}
      24:{1,2,5,6}:{(16,1),(29,1),(32,1),(34,1)}
      25:{1,3,5,6}:{(17,1),(18,1),(31,1),(34,1)}
      26:{1,2,4,5,6}:{(18,1),(32,1),(34,1),(35,1),(51,1),(53,1)}
      27:{2,3,4,5}:{(19,1),(22,1),(36,1),(56,1),(62,1)}
      28:{1,4,5}:{(19,1),(20,1),(23,1)}
      29:{1,2,5}:{(20,1),(21,1)}
      30:{1,2,3,6}:{(21,1),(38,1),(40,1)}
      31:{1,3,4,6}:{(22,1),(23,1),(25,1),(36,1),(39,1),(40,1),(58,1),(61,1)}
      32:{1,2,4,6}:{(23,1),(24,1),(37,1),(39,1),(40,1)}
      33:{1,2,3,5,6}:{(24,1),(38,1),(40,1),(41,1),(43,1),(60,1)}
      34:{2,5,6}:{(25,1),(39,1)}
      35:{1,3,5,6}:{(26,1),(40,1),(43,1),(44,1),(60,1)}
      36:{1,3,4,5}:{(27,1),(28,1),(31,1),(45,1),(46,1),(63,1),(68,1)}
      37:{1,2,4,5}:{(28,1),(29,1),(32,1),(45,1),(46,1),(47,1)}
      38:{1,2,3,5}:{(29,1),(30,1),(46,1),(47,1)}
      39:{2,4,6}:{(31,1),(34,1),(45,1),(49,1)}
      40:{1,3,6}:{(32,1),(46,1),(49,1)}
      41:{1,2,4,6}:{(33,1),(47,1),(50,1),(51,1),(53,1)}
      42:{1,2,5,6}:{(34,1),(48,1),(52,1),(74,1)}
      43:{2,3,5,6}:{(34,1),(35,1),(49,1),(52,1),(53,1),(67,1)}
      44:{1,3,4,6}:{(35,1),(53,1),(54,1)}
      45:{2,4,5}:{(36,1),(39,1),(56,1)}
      46:{1,3,5}:{(37,1),(40,1),(56,1),(57,1)}
      47:{1,2,4}:{(38,1),(57,1)}
      48:{1,2,4,6}:{(39,1),(42,1),(55,1),(58,1),(61,1)}
      49:{2,3,6}:{(39,1),(40,1),(56,1),(58,1)}
      50:{1,3,4,6}:{(40,1),(41,1),(57,1),(59,1),(60,1)}
      51:{1,2,4,5}:{(41,1),(60,1),(62,1)}
      52:{1,3,5,6}:{(42,1),(43,1),(58,1),(61,1),(72,1)}
      53:{2,4,6}:{(43,1),(44,1),(61,1),(62,1)}
      54:{1,3,4,5}:{(44,1),(60,1),(62,1)}
      55:{1,2,4,5}:{(45,1),(48,1),(63,1),(68,1),(73,1),(74,1)}
      56:{2,3,5}:{(45,1),(46,1),(49,1),(63,1),(64,1)}
      57:{1,3,4}:{(46,1),(47,1),(64,1)}
      58:{1,3,6}:{(48,1),(49,1),(63,1)}
      59:{2,3,4,6}:{(49,1),(50,1),(53,1),(64,1),(66,1),(67,1)}
      60:{1,3,5}:{(50,1),(51,1),(67,1)}
      61:{1,4,6}:{(52,1),(53,1),(68,1)}
      62:{2,4,5}:{(53,1),(54,1),(67,1),(68,1)}
      63:{1,3,5}:{(55,1),(56,1),(58,1),(70,1)}
      64:{2,3,4}:{(56,1),(57,1),(70,1)}
      65:{1,2,3,6}:{(58,1),(69,1),(71,1)}
      66:{1,3,4,6}:{(58,1),(59,1),(61,1),(70,1),(71,1),(72,1)}
      67:{2,3,5}:{(59,1),(60,1),(62,1),(72,1)}
      68:{1,4,5}:{(61,1),(62,1),(72,1)}
      69:{1,2,3,5}:{(63,1),(65,1),(73,1),(74,1)}
      70:{1,3,4}:{(63,1),(64,1),(73,1)}
      71:{1,2,4,6}:{(65,1),(66,1),(73,1),(74,1)}
      72:{1,3,5}:{(66,1),(67,1),(68,1),(74,1)}
      73:{1,2,4}:{(69,1),(70,1)}
      74:{1,2,5}:{(71,1),(72,1)}

587 :  0:{1,2,3,4,6}:{(1,1),(4,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(9,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{1,3,4,5}:{(3,1),(7,1),(8,1)}
       6:{1,2,4,5,6}:{(4,1),(9,1),(16,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{2,3,4,5}:{(5,1),(10,1),(11,1)}
       9:{1,3,5,6}:{(6,1),(7,1),(13,1)}
      10:{2,3,4,6}:{(7,1),(8,1),(13,1),(14,1)}
      11:{1,3,4,5}:{(8,1),(14,1),(15,1)}
      12:{1,3,4,5,6}:{(9,1),(16,1)}
      13:{2,3,5,6}:{(9,1),(10,1),(16,1),(17,1)}
      14:{1,3,4,6}:{(10,1),(11,1),(17,1),(18,1)}
      15:{1,2,4,5}:{(11,1),(18,1),(19,1)}
      16:{2,4,5,6}:{(12,1),(13,1),(20,1)}
      17:{1,3,5,6}:{(13,1),(14,1),(20,1),(21,1)}
      18:{1,2,4,6}:{(14,1),(15,1),(21,1),(22,1)}
      19:{1,2,3,5}:{(15,1),(22,1),(23,1)}
      20:{1,4,5,6}:{(16,1),(17,1)}
      21:{1,2,5,6}:{(17,1),(18,1)}
      22:{1,2,3,6}:{(18,1),(19,1)}
      23:{1,2,3,4}:{(19,1)}

588 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
       2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       3:{1,2,3,6}:{(1,1),(5,1)}
       4:{1,3,4,5}:{(2,1),(6,1),(7,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(7,1),(8,1)}
       6:{2,3,4,5}:{(4,1),(9,1),(10,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
       8:{1,2,5,6}:{(5,1),(11,1)}
       9:{1,3,4,5}:{(6,1),(13,1),(14,1)}
      10:{2,3,4,6}:{(6,1),(7,1),(14,1),(15,1)}
      11:{1,3,5,6}:{(7,1),(8,1),(15,1),(16,1)}
      12:{1,2,3,4}:{(17,1)}
      13:{1,2,4,5}:{(9,1),(17,1),(18,1)}
      14:{1,3,4,6}:{(9,1),(10,1),(18,1),(19,1)}
      15:{2,3,5,6}:{(10,1),(11,1),(19,1),(20,1)}
      16:{1,4,5,6}:{(11,1),(20,1)}
      17:{1,2,3,5}:{(12,1),(13,1),(21,1)}
      18:{1,2,4,6}:{(13,1),(14,1),(21,1),(22,1)}
      19:{1,3,5,6}:{(14,1),(15,1),(22,1),(23,1)}
      20:{2,4,5,6}:{(15,1),(16,1),(23,1),(24,1)}
      21:{1,2,3,6}:{(17,1),(18,1)}
      22:{1,2,5,6}:{(18,1),(19,1)}
      23:{1,4,5,6}:{(19,1),(20,1)}
      24:{3,4,5,6}:{(20,1)}

589 :  0:{1,2,3,5,6}:{(1,1),(5,1),(14,1),(48,1),(60,1),(61,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(19,1),(68,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(13,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1),(61,1),(62,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(19,1),(25,1),(40,1),(51,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(10,1),(19,1),(53,1),(54,1)}
       7:{1,3,4,5}:{(5,1),(12,1),(13,1)}
       8:{1,3,5,6}:{(4,1),(5,1),(12,1),(14,1),(61,1)}
       9:{2,3,5}:{(5,1),(6,1),(13,1),(15,1)}
      10:{1,3,4,6}:{(6,1),(15,1),(16,1),(28,1),(45,1),(46,1)}
      11:{1,3,4,5,6}:{(12,1),(17,1),(32,1),(50,1)}
      12:{1,3,4,6}:{(7,1),(8,1),(19,1)}
      13:{2,4,5}:{(7,1),(9,1),(19,1),(20,1)}
      14:{2,3,5,6}:{(8,1),(9,1),(19,1),(21,1),(40,1),(53,1)}
      15:{1,3,5}:{(9,1),(10,1),(20,1),(22,1)}
      16:{1,2,4,6}:{(10,1),(22,1),(23,1),(39,1)}
      17:{2,4,5,6}:{(11,1),(19,1),(24,1),(25,1),(40,1),(58,1)}
      18:{2,3,4,5}:{(13,1),(26,1),(27,1),(44,1),(66,1)}
      19:{2,4,6}:{(12,1),(13,1),(14,1),(28,1)}
      20:{1,4,5}:{(13,1),(15,1),(28,1)}
      21:{1,3,5,6}:{(14,1),(15,1),(28,1),(30,1),(45,1)}
      22:{1,2,5}:{(15,1),(16,1)}
      23:{1,2,3,6}:{(16,1),(31,1),(45,1)}
      24:{2,3,5,6}:{(17,1),(26,1),(32,1)}
      25:{1,4,5,6}:{(17,1),(28,1),(32,1),(65,1)}
      26:{2,3,4,6}:{(18,1),(19,1),(24,1),(34,1),(53,1),(58,1)}
      27:{1,3,4,5}:{(18,1),(20,1),(34,1),(35,1),(37,1),(52,1),(71,1)}
      28:{1,4,6}:{(19,1),(20,1),(21,1)}
      29:{1,2,4,5}:{(20,1),(22,1),(35,1),(36,1),(37,1),(39,1)}
      30:{1,2,5,6}:{(21,1),(22,1),(36,1),(40,1)}
      31:{1,2,3,5}:{(22,1),(23,1),(37,1),(39,1)}
      32:{1,3,5,6}:{(24,1),(25,1),(34,1),(40,1)}
      33:{1,2,4,5,6}:{(25,1),(36,1),(40,1),(41,1),(56,1),(58,1)}
      34:{1,3,4,6}:{(26,1),(27,1),(28,1),(32,1),(43,1),(45,1),(61,1),(65,1)}
      35:{2,4,5}:{(27,1),(43,1),(44,1)}
      36:{1,2,4,6}:{(28,1),(29,1),(30,1),(43,1),(45,1)}
      37:{1,3,5}:{(29,1),(44,1),(45,1),(46,1)}
      38:{1,2,3,5,6}:{(30,1),(31,1),(45,1),(47,1),(49,1),(64,1)}
      39:{1,2,4}:{(31,1),(46,1)}
      40:{2,5,6}:{(32,1),(43,1)}
      41:{1,3,5,6}:{(33,1),(45,1),(49,1),(50,1),(64,1)}
      42:{1,2,4,5}:{(35,1),(51,1),(52,1),(68,1),(71,1),(74,1)}
      43:{2,4,6}:{(34,1),(35,1),(40,1),(53,1)}
      44:{2,3,5}:{(35,1),(37,1),(52,1),(53,1),(54,1)}
      45:{1,3,6}:{(36,1),(37,1),(53,1)}
      46:{1,3,4}:{(37,1),(39,1),(54,1)}
      47:{1,2,4,6}:{(38,1),(39,1),(55,1),(56,1),(58,1)}
      48:{1,2,5,6}:{(40,1),(51,1),(57,1),(74,1)}
      49:{2,3,5,6}:{(40,1),(41,1),(53,1),(57,1),(58,1),(70,1)}
      50:{1,3,4,6}:{(41,1),(58,1),(59,1)}
      51:{1,2,4,6}:{(42,1),(43,1),(48,1),(61,1),(65,1)}
      52:{1,3,5}:{(42,1),(44,1),(61,1),(62,1)}
      53:{2,3,6}:{(43,1),(44,1),(45,1),(61,1)}
      54:{2,3,4}:{(44,1),(46,1),(62,1)}
      55:{1,3,4,6}:{(45,1),(46,1),(47,1),(63,1),(64,1)}
      56:{1,2,4,5}:{(47,1),(64,1),(66,1)}
      57:{1,3,5,6}:{(48,1),(49,1),(61,1),(65,1),(73,1)}
      58:{2,4,6}:{(49,1),(50,1),(65,1),(66,1)}
      59:{1,3,4,5}:{(50,1),(64,1),(66,1)}
      60:{1,2,3,5}:{(52,1),(67,1),(68,1),(74,1)}
      61:{1,3,6}:{(51,1),(52,1),(53,1)}
      62:{1,3,4}:{(52,1),(54,1),(68,1)}
      63:{2,3,4,6}:{(53,1),(54,1),(55,1),(58,1),(69,1),(70,1)}
      64:{1,3,5}:{(55,1),(56,1),(70,1)}
      65:{1,4,6}:{(57,1),(58,1),(71,1)}
      66:{2,4,5}:{(58,1),(59,1),(70,1),(71,1)}
      67:{1,2,3,6}:{(60,1),(61,1),(72,1)}
      68:{1,2,4}:{(60,1),(62,1)}
      69:{1,3,4,6}:{(61,1),(62,1),(63,1),(65,1),(72,1),(73,1)}
      70:{2,3,5}:{(63,1),(64,1),(66,1),(73,1)}
      71:{1,4,5}:{(65,1),(66,1),(73,1)}
      72:{1,2,4,6}:{(67,1),(68,1),(69,1),(74,1)}
      73:{1,3,5}:{(69,1),(70,1),(71,1),(74,1)}
      74:{1,2,5}:{(72,1),(73,1)}

590 :  0:{1,2,4,5,6}:{(1,1),(5,1),(13,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(24,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(20,1),(21,1)}
       4:{1,3,4,5}:{(2,1),(8,1),(15,1),(26,1)}
       5:{2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,3,4,6}:{(5,1),(11,1),(12,1),(21,1),(28,1)}
       8:{2,4,5}:{(4,1),(5,1),(11,1),(13,1),(20,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(20,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(9,1),(15,1),(16,1),(18,1),(24,1),(26,1),(29,1)}
      13:{1,4,5}:{(8,1),(9,1),(15,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(20,1)}
      16:{2,4,6}:{(12,1),(20,1),(21,1),(28,1)}
      17:{1,2,4,5}:{(13,1),(14,1),(20,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(21,1),(22,1)}
      19:{1,2,4,6}:{(16,1),(23,1),(24,1),(29,1)}
      20:{2,5}:{(15,1),(16,1)}
      21:{2,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,3,5}:{(17,1),(18,1),(25,1),(26,1)}
      23:{1,2,5}:{(19,1),(20,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{2,3,5}:{(20,1),(21,1),(22,1),(27,1),(28,1)}
      26:{1,3,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{2,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

591 :  0:{2,3,4,5}:{(1,1),(2,1),(17,1),(52,1)}
       1:{2,3,4,6}:{(0,1),(6,1),(7,1),(26,1),(45,1)}
       2:{1,3,4,5}:{(0,1),(7,1),(8,1),(10,1),(23,1),(47,1),(54,1),(55,1)}
       3:{1,2,4,5}:{(8,1),(9,1),(10,1),(12,1),(30,1),(47,1)}
       4:{1,2,3,5}:{(10,1),(11,1),(12,1),(30,1)}
       5:{3,4,5,6}:{(14,1),(51,1)}
       6:{2,3,5,6}:{(1,1),(14,1),(15,1)}
       7:{1,3,4,6}:{(1,1),(2,1),(15,1),(16,1),(19,1),(33,1),(38,1),(49,1),(51,1)}
       8:{2,4,5}:{(2,1),(16,1),(17,1)}
       9:{1,2,4,6}:{(3,1),(16,1),(18,1),(19,1),(38,1)}
      10:{1,3,5}:{(3,1),(17,1),(19,1),(20,1)}
      11:{1,2,3,6}:{(4,1),(19,1),(21,1)}
      12:{1,2,4}:{(4,1),(20,1)}
      13:{1,2,4,5}:{(8,1),(22,1),(23,1),(41,1),(53,1),(54,1)}
      14:{2,4,5,6}:{(5,1),(6,1),(24,1),(45,1)}
      15:{1,3,5,6}:{(6,1),(7,1),(24,1),(25,1),(44,1)}
      16:{2,4,6}:{(7,1),(8,1),(25,1),(26,1)}
      17:{2,3,5}:{(8,1),(10,1),(23,1),(26,1),(27,1)}
      18:{1,2,5,6}:{(9,1),(25,1),(28,1),(30,1)}
      19:{1,3,6}:{(9,1),(10,1),(26,1)}
      20:{1,3,4}:{(10,1),(12,1),(27,1)}
      21:{1,2,4,6}:{(11,1),(12,1),(29,1),(30,1)}
      22:{1,2,4,6}:{(13,1),(16,1),(32,1),(33,1),(49,1)}
      23:{1,3,5}:{(13,1),(17,1),(33,1),(34,1)}
      24:{1,4,5,6}:{(14,1),(15,1),(35,1),(38,1),(49,1)}
      25:{2,5,6}:{(15,1),(16,1)}
      26:{2,3,6}:{(16,1),(17,1),(19,1),(33,1)}
      27:{2,3,4}:{(17,1),(20,1),(34,1)}
      28:{1,3,5,6}:{(18,1),(19,1),(36,1),(38,1),(39,1)}
      29:{1,3,4,6}:{(19,1),(20,1),(21,1),(37,1),(38,1),(39,1)}
      30:{1,2,5}:{(21,1),(39,1)}
      31:{1,2,3,5}:{(23,1),(40,1),(41,1),(53,1)}
      32:{1,2,5,6}:{(22,1),(25,1),(42,1),(53,1)}
      33:{1,3,6}:{(22,1),(23,1),(26,1)}
      34:{1,3,4}:{(23,1),(27,1),(41,1)}
      35:{2,4,5,6}:{(24,1),(25,1),(44,1),(45,1)}
      36:{2,3,5,6}:{(25,1),(26,1),(28,1),(42,1),(44,1),(45,1),(46,1)}
      37:{2,3,4,6}:{(26,1),(27,1),(29,1),(43,1),(45,1),(46,1)}
      38:{1,4,6}:{(28,1),(45,1),(47,1)}
      39:{1,3,5}:{(29,1),(30,1),(46,1),(47,1)}
      40:{1,2,3,6}:{(31,1),(33,1),(48,1)}
      41:{1,2,4}:{(31,1),(34,1)}
      42:{1,3,5,6}:{(32,1),(33,1),(36,1),(49,1),(50,1)}
      43:{1,3,4,6}:{(33,1),(34,1),(37,1),(48,1),(49,1),(50,1)}
      44:{3,5,6}:{(35,1),(51,1)}
      45:{2,4,6}:{(36,1),(38,1),(49,1),(51,1),(52,1)}
      46:{2,3,5}:{(37,1),(39,1),(50,1),(52,1)}
      47:{1,4,5}:{(38,1),(39,1),(52,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(43,1),(53,1)}
      49:{1,4,6}:{(42,1),(45,1),(54,1)}
      50:{1,3,5}:{(43,1),(46,1),(53,1),(54,1)}
      51:{3,4,6}:{(44,1),(45,1),(55,1)}
      52:{2,4,5}:{(45,1),(46,1),(47,1),(54,1),(55,1)}
      53:{1,2,5}:{(48,1),(50,1)}
      54:{1,4,5}:{(49,1),(50,1),(52,1)}
      55:{3,4,5}:{(51,1),(52,1)}

592 :  0:{1,3,4,5,6}:{(2,1),(6,1),(9,1)}
       1:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(15,1),(24,1),(25,1),(33,1)}
       2:{2,4,5,6}:{(0,1),(4,1),(5,1),(11,1),(15,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(7,1),(28,1),(31,1)}
       4:{2,3,5,6}:{(2,1),(8,1),(9,1)}
       5:{1,4,5,6}:{(2,1),(9,1),(18,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(11,1)}
       7:{2,3,5,6}:{(3,1),(11,1),(12,1),(15,1),(22,1),(27,1),(33,1),(34,1)}
       8:{2,3,4,6}:{(4,1),(11,1),(13,1),(14,1),(34,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1)}
      10:{1,3,4,5}:{(6,1),(17,1),(28,1)}
      11:{2,4,6}:{(6,1),(7,1),(17,1),(18,1)}
      12:{1,3,5,6}:{(7,1),(18,1),(19,1),(28,1),(31,1)}
      13:{2,3,4,5}:{(8,1),(17,1),(20,1),(37,1)}
      14:{1,3,4,6}:{(8,1),(9,1),(18,1),(20,1),(21,1),(31,1)}
      15:{2,5,6}:{(9,1),(21,1)}
      16:{2,3,4,6}:{(11,1),(22,1),(23,1),(27,1),(36,1)}
      17:{2,4,5}:{(10,1),(11,1),(22,1),(24,1),(33,1)}
      18:{1,4,6}:{(11,1),(12,1),(24,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(25,1),(33,1)}
      20:{1,3,4,5}:{(13,1),(14,1),(24,1),(26,1),(35,1)}
      21:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      22:{2,3,5}:{(16,1),(17,1),(28,1)}
      23:{1,3,4,6}:{(16,1),(18,1),(28,1),(29,1),(31,1),(38,1)}
      24:{1,4,5}:{(17,1),(18,1),(28,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(29,1),(30,1),(31,1)}
      26:{2,4,5}:{(20,1),(21,1),(32,1)}
      27:{2,3,6}:{(21,1),(31,1),(32,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(33,1)}
      29:{2,4,6}:{(23,1),(33,1),(34,1),(39,1)}
      30:{1,2,4,5}:{(24,1),(25,1),(26,1),(33,1),(35,1),(39,1)}
      31:{1,3,6}:{(25,1),(27,1),(34,1),(35,1)}
      32:{2,3,5}:{(26,1),(27,1),(35,1),(36,1)}
      33:{2,5}:{(28,1),(29,1)}
      34:{2,3,6}:{(29,1),(31,1),(37,1)}
      35:{1,3,5}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{2,3,4}:{(32,1),(38,1)}
      37:{2,3,5}:{(33,1),(34,1),(35,1),(39,1)}
      38:{1,3,4}:{(35,1),(36,1),(39,1)}
      39:{2,4}:{(37,1),(38,1)}

593 :  0:{2,3,4,5,6}:{(1,1),(7,1),(25,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(28,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(31,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(11,1),(19,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(27,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
       6:{2,3,4,6}:{(4,1),(8,1),(9,1)}
       7:{2,3,5,6}:{(5,1),(11,1),(20,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(11,1),(12,1)}
       9:{2,3,4,5}:{(6,1),(12,1),(27,1)}
      10:{1,2,3,5,6}:{(7,1),(14,1),(23,1),(32,1)}
      11:{2,4,6}:{(7,1),(8,1),(16,1)}
      12:{1,3,4,5}:{(8,1),(9,1),(16,1),(23,1)}
      13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
      15:{2,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(20,1)}
      17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
      18:{1,3,4,6}:{(14,1),(15,1),(22,1),(23,1)}
      19:{1,2,4,5}:{(14,1),(16,1),(23,1),(31,1)}
      20:{2,3,5}:{(15,1),(16,1),(23,1)}
      21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
      22:{2,3,4,6}:{(18,1),(27,1),(34,1)}
      23:{1,3,5}:{(18,1),(19,1),(20,1),(27,1)}
      24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
      25:{2,3,4,5}:{(20,1),(28,1),(30,1)}
      26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
      27:{2,3,5}:{(22,1),(23,1),(31,1)}
      28:{1,3,4,5}:{(23,1),(25,1),(31,1),(33,1)}
      29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
      30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
      31:{2,4,5}:{(27,1),(28,1),(34,1)}
      32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,6}:{(31,1),(32,1),(33,1)}

594 :  0:{1,2,3,5}:{(2,1),(3,1),(17,1),(18,1)}
       1:{2,3,4,5}:{(5,1),(6,1),(24,1),(45,1)}
       2:{1,2,3,6}:{(0,1),(8,1),(29,1)}
       3:{1,2,4}:{(0,1),(7,1)}
       4:{1,2,3,5}:{(10,1),(11,1),(32,1),(33,1)}
       5:{1,3,4,5}:{(1,1),(13,1),(14,1),(17,1),(32,1),(40,1),(49,1),(51,1)}
       6:{2,3,4,6}:{(1,1),(14,1),(15,1),(36,1),(52,1)}
       7:{1,3,4}:{(3,1),(12,1),(17,1)}
       8:{1,2,4,6}:{(2,1),(3,1),(16,1),(18,1)}
       9:{1,2,4,5}:{(3,1),(13,1),(17,1),(18,1),(19,1),(40,1)}
      10:{1,2,3,6}:{(4,1),(21,1),(43,1)}
      11:{1,2,4}:{(4,1),(20,1)}
      12:{2,3,4}:{(7,1),(20,1),(24,1)}
      13:{2,4,5}:{(5,1),(24,1),(25,1)}
      14:{1,3,4,6}:{(5,1),(6,1),(25,1),(26,1),(29,1),(43,1),(48,1),(54,1),(55,1)}
      15:{2,3,5,6}:{(6,1),(26,1),(27,1)}
      16:{1,3,4,6}:{(7,1),(8,1),(23,1),(28,1),(29,1),(48,1)}
      17:{1,3,5}:{(7,1),(9,1),(24,1),(29,1)}
      18:{1,2,5}:{(8,1),(28,1)}
      19:{1,2,4,6}:{(9,1),(25,1),(29,1),(30,1),(48,1)}
      20:{1,3,4}:{(11,1),(12,1),(32,1)}
      21:{1,2,4,6}:{(10,1),(11,1),(31,1),(33,1)}
      22:{1,2,4,5}:{(11,1),(13,1),(32,1),(33,1),(34,1),(49,1)}
      23:{2,3,4,6}:{(12,1),(16,1),(31,1),(35,1),(36,1),(52,1)}
      24:{2,3,5}:{(12,1),(13,1),(17,1),(32,1),(36,1)}
      25:{2,4,6}:{(13,1),(14,1),(36,1),(37,1)}
      26:{1,3,5,6}:{(14,1),(15,1),(37,1),(38,1),(53,1)}
      27:{2,4,5,6}:{(15,1),(38,1),(39,1),(52,1)}
      28:{1,3,5}:{(16,1),(18,1),(35,1),(40,1)}
      29:{1,3,6}:{(17,1),(19,1),(36,1)}
      30:{1,2,5,6}:{(18,1),(19,1),(37,1),(41,1)}
      31:{1,3,4,6}:{(20,1),(21,1),(23,1),(42,1),(43,1),(54,1)}
      32:{1,3,5}:{(20,1),(22,1),(24,1),(43,1)}
      33:{1,2,5}:{(21,1),(42,1)}
      34:{1,2,4,6}:{(22,1),(25,1),(43,1),(44,1),(54,1)}
      35:{2,3,5}:{(23,1),(28,1),(42,1),(45,1)}
      36:{2,3,6}:{(24,1),(25,1),(29,1),(43,1)}
      37:{2,5,6}:{(25,1),(26,1)}
      38:{1,4,5,6}:{(26,1),(27,1),(47,1),(48,1),(54,1)}
      39:{3,4,5,6}:{(27,1),(55,1)}
      40:{1,4,5}:{(28,1),(45,1),(48,1)}
      41:{1,3,5,6}:{(28,1),(29,1),(30,1),(46,1),(48,1)}
      42:{1,3,5}:{(31,1),(33,1),(35,1),(49,1)}
      43:{1,3,6}:{(32,1),(34,1),(36,1)}
      44:{1,2,5,6}:{(33,1),(34,1),(37,1),(50,1)}
      45:{2,4,5}:{(35,1),(40,1),(49,1),(51,1),(52,1)}
      46:{2,3,5,6}:{(35,1),(36,1),(37,1),(41,1),(50,1),(52,1),(53,1)}
      47:{2,4,5,6}:{(37,1),(38,1),(52,1),(53,1)}
      48:{1,4,6}:{(40,1),(41,1),(52,1)}
      49:{1,4,5}:{(42,1),(45,1),(54,1)}
      50:{1,3,5,6}:{(42,1),(43,1),(44,1),(46,1),(54,1)}
      51:{3,4,5}:{(45,1),(55,1)}
      52:{2,4,6}:{(45,1),(46,1),(48,1),(54,1),(55,1)}
      53:{3,5,6}:{(47,1),(55,1)}
      54:{1,4,6}:{(49,1),(50,1),(52,1)}
      55:{3,4,6}:{(51,1),(52,1),(53,1)}

595 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
       2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       3:{1,2,3,6}:{(1,1),(5,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,3,4}:{(10,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1)}
       9:{1,2,5,6}:{(5,1),(13,1)}
      10:{1,2,3,5}:{(6,1),(14,1),(15,1)}
      11:{1,3,4,5}:{(7,1),(14,1),(16,1)}
      12:{2,3,4,6}:{(7,1),(8,1),(16,1),(17,1)}
      13:{1,3,5,6}:{(8,1),(9,1),(17,1),(18,1)}
      14:{1,2,4,5}:{(10,1),(11,1),(19,1)}
      15:{1,2,3,6}:{(10,1),(19,1)}
      16:{1,3,4,6}:{(11,1),(12,1),(19,1),(20,1)}
      17:{2,3,5,6}:{(12,1),(13,1),(20,1),(21,1)}
      18:{1,4,5,6}:{(13,1),(21,1)}
      19:{1,2,4,6}:{(14,1),(15,1),(16,1),(22,1)}
      20:{1,3,5,6}:{(16,1),(17,1),(22,1),(23,1)}
      21:{2,4,5,6}:{(17,1),(18,1),(23,1),(24,1)}
      22:{1,2,5,6}:{(19,1),(20,1)}
      23:{1,4,5,6}:{(20,1),(21,1)}
      24:{3,4,5,6}:{(21,1)}

596 :  0:{1,2,4,5,6}:{(1,1),(5,1),(12,1),(19,1),(21,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(26,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(19,1),(22,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(15,1),(25,1)}
       5:{2,4,6}:{(2,1),(3,1),(7,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,4,5}:{(4,1),(5,1),(11,1),(12,1),(19,1),(28,1)}
       8:{2,3,4,6}:{(5,1),(11,1),(13,1),(22,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(12,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(19,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,4,5}:{(7,1),(9,1),(15,1),(29,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(15,1),(17,1),(18,1),(25,1),(26,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(14,1),(19,1),(20,1),(28,1)}
      17:{2,4,6}:{(13,1),(19,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(20,1),(22,1)}
      19:{2,5}:{(15,1),(17,1)}
      20:{1,3,5}:{(16,1),(18,1),(24,1),(25,1)}
      21:{1,2,4,6}:{(17,1),(23,1),(26,1),(29,1)}
      22:{2,3,6}:{(17,1),(18,1),(24,1),(26,1)}
      23:{1,2,5}:{(19,1),(21,1),(27,1)}
      24:{2,3,5}:{(19,1),(20,1),(22,1),(27,1),(28,1)}
      25:{1,3,4}:{(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:{2,4}:{(24,1),(25,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

597 :  0:{1,2,3,5,6}:{(1,1),(5,1),(17,1),(28,1),(66,1),(70,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(23,1),(40,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1),(51,1),(70,1)}
       3:{1,2,4,5}:{(1,1),(5,1),(13,1)}
       4:{2,3,4,6}:{(2,1),(9,1),(10,1),(23,1),(41,1),(64,1)}
       5:{1,3,5}:{(2,1),(3,1),(10,1)}
       6:{1,2,4,5,6}:{(3,1),(11,1),(23,1),(39,1),(59,1),(63,1)}
       7:{1,3,4,5}:{(5,1),(13,1),(14,1)}
       8:{1,2,3,6}:{(12,1),(15,1),(55,1)}
       9:{1,3,4,6}:{(4,1),(15,1),(16,1),(31,1),(33,1),(55,1)}
      10:{2,3,5}:{(4,1),(5,1),(13,1),(16,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(14,1),(17,1),(70,1)}
      12:{1,2,3,5}:{(8,1),(21,1),(24,1),(44,1)}
      13:{2,4,5}:{(7,1),(10,1),(22,1),(23,1)}
      14:{1,3,4,6}:{(7,1),(11,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(21,1),(24,1)}
      16:{1,3,5}:{(9,1),(10,1),(22,1),(24,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(23,1),(25,1),(59,1),(64,1)}
      18:{1,2,3,5,6}:{(12,1),(26,1),(34,1),(49,1),(55,1),(68,1)}
      19:{1,3,4,5,6}:{(14,1),(27,1),(48,1),(69,1)}
      20:{2,3,4,5}:{(13,1),(29,1),(30,1),(53,1),(67,1)}
      21:{1,2,4}:{(12,1),(31,1)}
      22:{1,4,5}:{(13,1),(16,1),(33,1)}
      23:{2,4,6}:{(13,1),(14,1),(17,1),(33,1)}
      24:{1,2,5}:{(15,1),(16,1)}
      25:{1,3,5,6}:{(16,1),(17,1),(33,1),(34,1),(55,1)}
      26:{1,2,4,6}:{(18,1),(21,1),(37,1),(38,1),(73,1)}
      27:{2,4,5,6}:{(19,1),(23,1),(36,1),(39,1),(59,1),(73,1)}
      28:{1,2,3,5}:{(35,1),(40,1),(57,1),(62,1)}
      29:{1,3,4,5}:{(20,1),(22,1),(42,1),(43,1),(44,1),(62,1),(71,1)}
      30:{2,3,4,6}:{(20,1),(23,1),(36,1),(43,1),(64,1),(73,1)}
      31:{1,3,4}:{(21,1),(41,1),(44,1)}
      32:{1,2,4,5}:{(21,1),(22,1),(24,1),(42,1),(44,1),(45,1)}
      33:{1,4,6}:{(22,1),(23,1),(25,1)}
      34:{1,2,5,6}:{(24,1),(25,1),(45,1),(59,1)}
      35:{1,2,3,6}:{(28,1),(46,1),(70,1)}
      36:{2,3,5,6}:{(27,1),(30,1),(48,1)}
      37:{1,3,4,6}:{(26,1),(31,1),(47,1),(49,1),(55,1)}
      38:{1,2,4,5}:{(26,1),(49,1),(67,1)}
      39:{1,4,5,6}:{(27,1),(33,1),(48,1),(74,1)}
      40:{1,2,4}:{(28,1),(51,1)}
      41:{2,3,4}:{(31,1),(51,1),(53,1)}
      42:{2,4,5}:{(29,1),(53,1),(54,1)}
      43:{1,3,4,6}:{(29,1),(30,1),(33,1),(48,1),(54,1),(55,1),(70,1),(74,1)}
      44:{1,3,5}:{(31,1),(32,1),(53,1),(55,1)}
      45:{1,2,4,6}:{(32,1),(33,1),(34,1),(54,1),(55,1)}
      46:{1,2,4,6}:{(35,1),(40,1),(56,1),(57,1)}
      47:{2,3,4,6}:{(37,1),(41,1),(56,1),(58,1),(64,1),(73,1)}
      48:{1,3,5,6}:{(36,1),(39,1),(43,1),(59,1)}
      49:{1,3,5}:{(37,1),(38,1),(58,1)}
      50:{1,2,4,5,6}:{(38,1),(39,1),(45,1),(59,1),(61,1),(73,1)}
      51:{1,3,4}:{(40,1),(41,1),(62,1)}
      52:{1,2,4,5}:{(40,1),(42,1),(57,1),(62,1),(63,1),(71,1)}
      53:{2,3,5}:{(41,1),(42,1),(44,1),(62,1),(64,1)}
      54:{2,4,6}:{(42,1),(43,1),(59,1),(64,1)}
      55:{1,3,6}:{(44,1),(45,1),(64,1)}
      56:{1,3,4,6}:{(46,1),(47,1),(51,1),(65,1),(70,1),(74,1)}
      57:{1,2,5}:{(46,1),(65,1)}
      58:{2,3,5}:{(47,1),(49,1),(65,1),(67,1)}
      59:{2,5,6}:{(48,1),(54,1)}
      60:{1,3,4,5}:{(49,1),(67,1),(69,1)}
      61:{1,3,5,6}:{(49,1),(50,1),(55,1),(68,1),(69,1)}
      62:{1,3,5}:{(51,1),(52,1),(53,1),(70,1)}
      63:{1,2,4,6}:{(52,1),(54,1),(66,1),(70,1),(74,1)}
      64:{2,3,6}:{(53,1),(54,1),(55,1),(70,1)}
      65:{1,3,5}:{(56,1),(57,1),(58,1),(71,1)}
      66:{1,2,5,6}:{(57,1),(59,1),(63,1),(72,1)}
      67:{2,4,5}:{(58,1),(60,1),(71,1),(73,1)}
      68:{2,3,5,6}:{(58,1),(59,1),(61,1),(64,1),(72,1),(73,1)}
      69:{1,3,4,6}:{(60,1),(61,1),(73,1)}
      70:{1,3,6}:{(62,1),(63,1),(64,1)}
      71:{1,4,5}:{(65,1),(67,1),(74,1)}
      72:{1,3,5,6}:{(65,1),(66,1),(68,1),(70,1),(74,1)}
      73:{2,4,6}:{(67,1),(68,1),(69,1),(74,1)}
      74:{1,4,6}:{(71,1),(72,1),(73,1)}

598 :  0:{1,3,4,5,6}:{(1,1),(7,1),(18,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(24,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(28,1),(31,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(24,1),(32,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(21,1),(36,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1)}
       8:{1,2,4,5,6}:{(4,1),(11,1),(12,1),(19,1),(24,1),(36,1),(39,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(13,1),(26,1),(30,1)}
      10:{2,4,5}:{(6,1),(13,1),(15,1)}
      11:{2,5,6}:{(7,1),(13,1)}
      12:{1,3,5,6}:{(8,1),(17,1),(18,1),(26,1),(38,1)}
      13:{2,4,6}:{(9,1),(10,1),(11,1),(20,1)}
      14:{1,2,4,5}:{(10,1),(19,1),(21,1),(35,1),(36,1),(39,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(39,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(20,1),(23,1),(24,1),(32,1),(34,1),(39,1)}
      18:{1,3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(26,1),(30,1),(37,1)}
      20:{2,3,6}:{(13,1),(15,1),(26,1)}
      21:{1,3,5}:{(14,1),(15,1),(26,1),(28,1),(29,1)}
      22:{2,3,4}:{(15,1),(29,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(26,1),(30,1),(38,1)}
      24:{2,4,6}:{(17,1),(18,1),(30,1),(31,1)}
      25:{1,3,4,5}:{(18,1),(31,1),(38,1)}
      26:{1,3,6}:{(19,1),(20,1),(21,1),(32,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(24,1),(33,1),(34,1)}
      28:{2,3,5}:{(21,1),(32,1),(35,1),(39,1)}
      29:{1,3,4}:{(21,1),(22,1),(35,1)}
      30:{1,4,6}:{(23,1),(24,1),(36,1)}
      31:{2,4,5}:{(24,1),(25,1),(34,1),(36,1),(39,1)}
      32:{2,3,6}:{(26,1),(28,1),(37,1)}
      33:{1,3,4,6}:{(26,1),(27,1),(29,1),(30,1),(37,1),(38,1)}
      34:{2,3,5}:{(27,1),(31,1),(38,1)}
      35:{2,4}:{(28,1),(29,1)}
      36:{1,4,5}:{(30,1),(31,1),(38,1)}
      37:{2,4,6}:{(32,1),(33,1),(35,1),(39,1)}
      38:{1,3,5}:{(33,1),(34,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

599 :  0:{1,2,3,5,6}:{(1,1),(5,1),(13,1),(39,1),(57,1),(58,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(18,1),(50,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(12,1)}
       3:{1,3,4,6}:{(1,1),(5,1),(6,1),(58,1),(59,1)}
       4:{1,2,4,5,6}:{(2,1),(8,1),(18,1),(33,1),(47,1),(51,1)}
       5:{1,3,5}:{(2,1),(3,1),(9,1)}
       6:{2,3,4,6}:{(3,1),(9,1),(10,1),(18,1),(52,1),(53,1)}
       7:{1,3,4,5}:{(5,1),(11,1),(12,1)}
       8:{1,3,5,6}:{(4,1),(5,1),(11,1),(13,1),(58,1)}
       9:{2,3,5}:{(5,1),(6,1),(12,1),(14,1)}
      10:{1,3,4,6}:{(6,1),(14,1),(15,1),(26,1),(44,1),(45,1)}
      11:{1,3,4,6}:{(7,1),(8,1),(18,1)}
      12:{2,4,5}:{(7,1),(9,1),(18,1),(19,1)}
      13:{2,3,5,6}:{(8,1),(9,1),(18,1),(20,1),(51,1),(52,1)}
      14:{1,3,5}:{(9,1),(10,1),(19,1),(21,1)}
      15:{1,2,4,6}:{(10,1),(21,1),(22,1),(37,1)}
      16:{2,3,4,5}:{(12,1),(23,1),(24,1),(42,1),(73,1)}
      17:{1,3,4,5,6}:{(11,1),(25,1),(40,1),(63,1)}
      18:{2,4,6}:{(11,1),(12,1),(13,1),(26,1)}
      19:{1,4,5}:{(12,1),(14,1),(26,1)}
      20:{1,3,5,6}:{(13,1),(14,1),(26,1),(28,1),(44,1)}
      21:{1,2,5}:{(14,1),(15,1)}
      22:{1,2,3,6}:{(15,1),(29,1),(44,1)}
      23:{2,3,4,6}:{(16,1),(18,1),(30,1),(31,1),(52,1),(68,1)}
      24:{1,3,4,5}:{(16,1),(19,1),(31,1),(32,1),(35,1),(48,1),(74,1)}
      25:{2,4,5,6}:{(17,1),(18,1),(30,1),(33,1),(51,1),(68,1)}
      26:{1,4,6}:{(18,1),(19,1),(20,1)}
      27:{1,2,4,5}:{(19,1),(21,1),(32,1),(34,1),(35,1),(37,1)}
      28:{1,2,5,6}:{(20,1),(21,1),(34,1),(51,1)}
      29:{1,2,3,5}:{(21,1),(22,1),(35,1),(37,1)}
      30:{2,3,5,6}:{(23,1),(25,1),(40,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(26,1),(40,1),(41,1),(44,1),(58,1),(71,1)}
      32:{2,4,5}:{(24,1),(41,1),(42,1)}
      33:{1,4,5,6}:{(25,1),(26,1),(40,1),(71,1)}
      34:{1,2,4,6}:{(26,1),(27,1),(28,1),(41,1),(44,1)}
      35:{1,3,5}:{(27,1),(42,1),(44,1),(45,1)}
      36:{1,2,3,5,6}:{(28,1),(29,1),(44,1),(46,1),(61,1),(64,1)}
      37:{1,2,4}:{(29,1),(45,1)}
      38:{1,2,4,5}:{(32,1),(47,1),(48,1),(50,1),(67,1),(74,1)}
      39:{1,2,3,5}:{(48,1),(49,1),(50,1),(67,1)}
      40:{1,3,5,6}:{(30,1),(31,1),(33,1),(51,1)}
      41:{2,4,6}:{(31,1),(32,1),(51,1),(52,1)}
      42:{2,3,5}:{(32,1),(35,1),(48,1),(52,1),(53,1)}
      43:{1,2,4,5,6}:{(33,1),(34,1),(51,1),(54,1),(56,1),(68,1)}
      44:{1,3,6}:{(34,1),(35,1),(52,1)}
      45:{1,3,4}:{(35,1),(37,1),(53,1)}
      46:{1,2,4,6}:{(36,1),(37,1),(55,1),(56,1),(68,1)}
      47:{1,2,4,6}:{(38,1),(41,1),(57,1),(58,1),(71,1)}
      48:{1,3,5}:{(38,1),(42,1),(58,1),(59,1)}
      49:{1,2,3,6}:{(39,1),(58,1),(60,1)}
      50:{1,2,4}:{(39,1),(59,1)}
      51:{2,5,6}:{(40,1),(41,1)}
      52:{2,3,6}:{(41,1),(42,1),(44,1),(58,1)}
      53:{2,3,4}:{(42,1),(45,1),(59,1)}
      54:{1,3,5,6}:{(43,1),(44,1),(61,1),(63,1),(64,1)}
      55:{1,3,4,6}:{(44,1),(45,1),(46,1),(62,1),(64,1)}
      56:{1,2,4,5}:{(46,1),(64,1),(73,1)}
      57:{1,2,5,6}:{(47,1),(51,1),(65,1),(67,1)}
      58:{1,3,6}:{(47,1),(48,1),(52,1)}
      59:{1,3,4}:{(48,1),(50,1),(53,1)}
      60:{1,2,4,6}:{(49,1),(50,1),(66,1),(67,1)}
      61:{2,3,5,6}:{(51,1),(52,1),(54,1),(65,1),(68,1),(69,1)}
      62:{2,3,4,6}:{(52,1),(53,1),(55,1),(66,1),(68,1),(69,1)}
      63:{1,3,4,6}:{(54,1),(68,1),(70,1)}
      64:{1,3,5}:{(55,1),(56,1),(69,1)}
      65:{1,3,5,6}:{(57,1),(58,1),(61,1),(71,1),(72,1)}
      66:{1,3,4,6}:{(58,1),(59,1),(60,1),(62,1),(71,1),(72,1)}
      67:{1,2,5}:{(60,1),(72,1)}
      68:{2,4,6}:{(61,1),(63,1),(71,1),(73,1)}
      69:{2,3,5}:{(62,1),(64,1),(72,1),(73,1)}
      70:{1,3,4,5}:{(63,1),(64,1),(73,1)}
      71:{1,4,6}:{(65,1),(68,1),(74,1)}
      72:{1,3,5}:{(66,1),(67,1),(69,1),(74,1)}
      73:{2,4,5}:{(68,1),(69,1),(70,1),(74,1)}
      74:{1,4,5}:{(71,1),(72,1),(73,1)}

600 :  0:{1,2,3,5}:{(1,1),(2,1),(11,1),(12,1)}
       1:{1,2,3,6}:{(0,1),(4,1),(23,1),(35,1)}
       2:{1,2,4}:{(0,1),(5,1)}
       3:{1,2,3}:{(8,1)}
       4:{1,2,4,6}:{(1,1),(2,1),(10,1),(11,1),(47,1),(68,1)}
       5:{1,3,4}:{(2,1),(9,1),(12,1)}
       6:{1,2,4,5}:{(2,1),(11,1),(12,1),(13,1),(30,1),(32,1)}
       7:{1,2,3,6}:{(3,1),(14,1),(15,1),(62,1)}
       8:{1,2,4}:{(3,1),(16,1),(17,1)}
       9:{2,3,4}:{(5,1),(16,1),(19,1)}
      10:{1,3,4,6}:{(4,1),(5,1),(18,1),(20,1),(23,1),(45,1),(58,1),(75,1)}
      11:{1,2,5}:{(4,1),(20,1)}
      12:{1,3,5}:{(5,1),(6,1),(19,1),(23,1)}
      13:{1,2,4,6}:{(6,1),(21,1),(23,1),(44,1),(45,1)}
      14:{1,2,3,5}:{(7,1),(24,1),(26,1),(49,1)}
      15:{1,2,4,6}:{(7,1),(8,1),(24,1),(25,1),(26,1),(28,1)}
      16:{1,3,4}:{(8,1),(9,1),(27,1)}
      17:{1,2,5}:{(8,1),(27,1),(28,1)}
      18:{2,3,4,6}:{(9,1),(10,1),(25,1),(29,1),(31,1),(48,1),(55,1),(70,1)}
      19:{2,3,5}:{(9,1),(12,1),(27,1),(30,1),(31,1)}
      20:{1,3,5}:{(10,1),(11,1),(29,1),(32,1)}
      21:{1,2,5,6}:{(11,1),(13,1),(33,1),(56,1),(68,1)}
      22:{1,3,4,5}:{(12,1),(30,1),(32,1),(34,1),(54,1)}
      23:{1,3,6}:{(12,1),(13,1),(31,1)}
      24:{1,2,4}:{(14,1),(36,1)}
      25:{1,3,4,6}:{(15,1),(16,1),(18,1),(36,1),(38,1),(41,1),(62,1),(63,1)}
      26:{1,2,5}:{(15,1),(38,1)}
      27:{1,3,5}:{(16,1),(17,1),(19,1),(40,1),(41,1)}
      28:{1,2,6}:{(17,1),(41,1)}
      29:{2,3,5}:{(18,1),(20,1),(38,1),(42,1)}
      30:{2,4,5}:{(19,1),(22,1),(40,1),(44,1)}
      31:{2,3,6}:{(19,1),(23,1),(41,1),(44,1)}
      32:{1,4,5}:{(20,1),(42,1),(45,1)}
      33:{1,3,5,6}:{(20,1),(21,1),(23,1),(43,1),(45,1),(75,1),(80,1)}
      34:{1,3,4,6}:{(22,1),(23,1),(44,1),(45,1),(46,1),(65,1)}
      35:{1,2,3}:{(47,1)}
      36:{1,3,4}:{(24,1),(48,1),(49,1)}
      37:{1,2,4,5}:{(24,1),(26,1),(49,1),(50,1),(51,1),(69,1)}
      38:{1,3,5}:{(25,1),(26,1),(29,1),(51,1)}
      39:{1,2,5,6}:{(26,1),(28,1),(50,1),(52,1),(79,1)}
      40:{1,4,5}:{(27,1),(30,1),(53,1)}
      41:{1,3,6}:{(27,1),(28,1),(31,1),(53,1)}
      42:{2,4,5}:{(29,1),(32,1),(51,1),(54,1),(55,1)}
      43:{2,3,5,6}:{(29,1),(31,1),(33,1),(52,1),(55,1),(56,1),(70,1),(73,1),(79,1)}
      44:{2,4,6}:{(30,1),(31,1),(34,1),(53,1),(56,1)}
      45:{1,4,6}:{(32,1),(33,1),(55,1)}
      46:{1,3,5,6}:{(34,1),(56,1),(57,1),(73,1)}
      47:{1,2,4}:{(35,1),(58,1),(59,1)}
      48:{2,3,4}:{(36,1),(58,1),(60,1)}
      49:{1,3,5}:{(36,1),(37,1),(60,1),(62,1)}
      50:{1,2,4,6}:{(37,1),(39,1),(62,1),(63,1),(76,1)}
      51:{1,4,5}:{(38,1),(42,1),(63,1)}
      52:{1,3,5,6}:{(38,1),(39,1),(41,1),(43,1),(62,1),(63,1),(64,1)}
      53:{1,4,6}:{(40,1),(41,1),(44,1),(64,1)}
      54:{3,4,5}:{(42,1),(65,1)}
      55:{2,4,6}:{(42,1),(43,1),(45,1),(63,1),(65,1)}
      56:{2,5,6}:{(44,1),(46,1),(64,1)}
      57:{1,4,5,6}:{(45,1),(46,1),(66,1),(80,1)}
      58:{1,3,4}:{(47,1),(48,1),(67,1)}
      59:{1,2,5}:{(47,1),(67,1),(68,1)}
      60:{2,3,5}:{(48,1),(49,1),(67,1),(69,1),(70,1)}
      61:{1,3,4,5}:{(49,1),(51,1),(54,1),(69,1),(71,1)}
      62:{1,3,6}:{(49,1),(50,1),(70,1)}
      63:{1,4,6}:{(51,1),(52,1),(55,1)}
      64:{1,5,6}:{(53,1),(56,1)}
      65:{3,4,6}:{(54,1),(55,1),(73,1)}
      66:{2,4,5,6}:{(55,1),(56,1),(57,1),(72,1),(73,1),(79,1)}
      67:{1,3,5}:{(58,1),(59,1),(60,1),(74,1),(75,1)}
      68:{1,2,6}:{(59,1),(75,1)}
      69:{2,4,5}:{(60,1),(61,1),(74,1),(76,1)}
      70:{2,3,6}:{(60,1),(62,1),(75,1),(76,1)}
      71:{1,3,4,6}:{(61,1),(62,1),(63,1),(65,1),(76,1),(77,1)}
      72:{1,4,5,6}:{(63,1),(64,1),(66,1),(77,1)}
      73:{3,5,6}:{(65,1),(66,1)}
      74:{1,4,5}:{(67,1),(69,1),(78,1)}
      75:{1,3,6}:{(67,1),(68,1),(70,1),(78,1)}
      76:{2,4,6}:{(69,1),(70,1),(71,1),(78,1),(79,1)}
      77:{1,3,5,6}:{(71,1),(72,1),(73,1),(79,1)}
      78:{1,4,6}:{(74,1),(75,1),(76,1),(80,1)}
      79:{2,5,6}:{(76,1),(77,1),(80,1)}
      80:{1,5,6}:{(78,1),(79,1)}

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

602 :  0:{1,3,4,5,6}:{(1,1),(5,1),(15,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(9,1),(20,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,4,5,6}:{(1,1),(5,1),(26,1)}
       4:{2,3,4,6}:{(2,1),(7,1),(8,1),(20,1),(30,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,4,5,6}:{(3,1),(9,1),(10,1),(17,1),(20,1),(33,1),(39,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(27,1),(34,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(11,1),(12,1),(24,1),(26,1)}
       9:{2,5,6}:{(5,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(14,1),(15,1),(24,1),(37,1)}
      11:{1,3,4,5}:{(7,1),(8,1),(16,1),(28,1),(33,1)}
      12:{2,4,6}:{(8,1),(9,1),(16,1),(18,1)}
      13:{1,2,5,6}:{(9,1),(17,1),(19,1),(39,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(18,1),(19,1),(20,1),(30,1),(32,1),(39,1)}
      15:{1,3,4,6}:{(10,1),(20,1),(21,1)}
      16:{2,4,5}:{(11,1),(12,1),(23,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(22,1),(24,1),(26,1),(36,1)}
      18:{2,3,6}:{(12,1),(23,1),(24,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(24,1),(26,1),(37,1)}
      20:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(37,1)}
      22:{1,2,4,5}:{(16,1),(17,1),(28,1),(33,1),(38,1),(39,1)}
      23:{2,3,5}:{(16,1),(18,1),(28,1),(29,1)}
      24:{1,3,6}:{(17,1),(18,1),(28,1),(30,1)}
      25:{2,3,4,6}:{(18,1),(20,1),(29,1),(31,1),(32,1)}
      26:{1,4,6}:{(19,1),(20,1),(33,1)}
      27:{2,4,5}:{(20,1),(21,1),(32,1),(33,1),(39,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(34,1),(35,1)}
      29:{2,3,4}:{(23,1),(35,1)}
      30:{2,3,6}:{(24,1),(34,1),(36,1)}
      31:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(36,1),(37,1)}
      32:{2,3,5}:{(25,1),(27,1),(37,1)}
      33:{1,4,5}:{(26,1),(27,1),(37,1)}
      34:{2,3,5}:{(28,1),(30,1),(38,1),(39,1)}
      35:{1,3,4}:{(28,1),(29,1),(38,1)}
      36:{2,4,6}:{(30,1),(31,1),(38,1),(39,1)}
      37:{1,3,5}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,4}:{(34,1),(35,1)}
      39:{2,5}:{(36,1),(37,1)}

603 :  0:{2,3,4,5}:{(2,1),(3,1),(30,1),(49,1)}
       1:{1,2,3,5}:{(4,1),(5,1),(21,1),(22,1)}
       2:{1,3,4,5}:{(0,1),(9,1),(10,1),(22,1),(42,1),(45,1)}
       3:{2,3,4,6}:{(0,1),(7,1),(10,1),(41,1),(57,1)}
       4:{1,2,3,6}:{(1,1),(11,1),(34,1)}
       5:{1,2,4}:{(1,1),(12,1)}
       6:{3,4,5,6}:{(14,1),(61,1)}
       7:{2,3,5,6}:{(3,1),(14,1),(16,1)}
       8:{2,3,4}:{(12,1),(17,1)}
       9:{2,4,5}:{(2,1),(17,1),(18,1)}
      10:{1,3,4,6}:{(2,1),(3,1),(16,1),(18,1),(34,1),(52,1),(54,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(20,1),(21,1)}
      12:{1,3,4}:{(5,1),(8,1),(19,1),(22,1)}
      13:{1,2,4,5}:{(5,1),(9,1),(21,1),(22,1),(23,1),(40,1),(42,1)}
      14:{2,4,5,6}:{(6,1),(7,1),(24,1),(57,1)}
      15:{2,3,4,6}:{(8,1),(20,1),(25,1),(28,1),(47,1)}
      16:{1,3,5,6}:{(7,1),(10,1),(24,1),(26,1),(46,1)}
      17:{2,3,5}:{(8,1),(9,1),(22,1),(28,1)}
      18:{2,4,6}:{(9,1),(10,1),(26,1),(28,1)}
      19:{2,3,4}:{(12,1),(30,1)}
      20:{1,3,4,6}:{(11,1),(12,1),(15,1),(29,1),(31,1),(34,1),(52,1)}
      21:{1,2,5}:{(11,1),(31,1)}
      22:{1,3,5}:{(12,1),(13,1),(17,1),(30,1),(34,1)}
      23:{1,2,4,6}:{(13,1),(18,1),(32,1),(34,1),(51,1),(52,1)}
      24:{1,4,5,6}:{(14,1),(16,1),(35,1),(52,1)}
      25:{2,3,5}:{(15,1),(31,1),(36,1)}
      26:{2,5,6}:{(16,1),(18,1)}
      27:{2,3,4,5}:{(17,1),(33,1),(36,1),(38,1)}
      28:{2,3,6}:{(17,1),(18,1),(34,1)}
      29:{2,3,4,6}:{(19,1),(20,1),(39,1),(41,1),(57,1)}
      30:{2,3,5}:{(19,1),(22,1),(40,1),(41,1)}
      31:{1,3,5}:{(20,1),(21,1),(25,1),(39,1),(42,1)}
      32:{1,2,5,6}:{(21,1),(23,1),(26,1),(43,1),(58,1)}
      33:{1,3,4,5}:{(22,1),(27,1),(40,1),(42,1),(44,1),(56,1)}
      34:{1,3,6}:{(22,1),(23,1),(28,1),(41,1)}
      35:{2,4,5,6}:{(24,1),(26,1),(46,1),(47,1)}
      36:{2,4,5}:{(25,1),(42,1),(45,1),(47,1)}
      37:{2,3,5,6}:{(25,1),(26,1),(28,1),(43,1),(46,1),(47,1)}
      38:{2,3,4,6}:{(27,1),(28,1),(44,1),(47,1),(48,1)}
      39:{2,3,5}:{(29,1),(31,1),(49,1)}
      40:{2,4,5}:{(30,1),(33,1),(51,1)}
      41:{2,3,6}:{(30,1),(34,1),(51,1)}
      42:{1,4,5}:{(31,1),(36,1),(49,1),(52,1)}
      43:{1,3,5,6}:{(31,1),(32,1),(34,1),(37,1),(50,1),(52,1)}
      44:{1,3,4,6}:{(33,1),(34,1),(38,1),(51,1),(52,1),(53,1),(61,1)}
      45:{3,4,5}:{(36,1),(54,1)}
      46:{3,5,6}:{(35,1),(54,1)}
      47:{2,4,6}:{(36,1),(37,1),(52,1),(54,1)}
      48:{2,3,5,6}:{(38,1),(53,1),(55,1)}
      49:{2,4,5}:{(39,1),(42,1),(56,1),(57,1)}
      50:{2,3,5,6}:{(39,1),(41,1),(43,1),(57,1),(58,1),(63,1)}
      51:{2,4,6}:{(40,1),(41,1),(44,1),(58,1)}
      52:{1,4,6}:{(42,1),(43,1),(47,1),(57,1)}
      53:{1,3,5,6}:{(44,1),(48,1),(58,1),(59,1),(63,1)}
      54:{3,4,6}:{(45,1),(46,1),(47,1)}
      55:{2,4,5,6}:{(47,1),(48,1),(59,1),(60,1)}
      56:{3,4,5}:{(49,1),(61,1)}
      57:{2,4,6}:{(49,1),(50,1),(52,1),(61,1)}
      58:{2,5,6}:{(51,1),(53,1)}
      59:{1,4,5,6}:{(52,1),(53,1),(55,1),(62,1)}
      60:{3,4,5,6}:{(54,1),(55,1)}
      61:{3,4,6}:{(56,1),(57,1),(63,1)}
      62:{2,4,5,6}:{(57,1),(58,1),(59,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

604 :  0:{3,4,5,6}:{(2,1),(42,1)}
       1:{2,3,4,5}:{(3,1),(4,1),(23,1),(43,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1),(39,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1),(30,1),(39,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1),(17,1),(29,1),(40,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(9,1)}
       6:{1,4,5,6}:{(2,1),(9,1),(10,1),(35,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(9,1),(12,1),(22,1),(24,1),(35,1)}
       8:{2,4,5}:{(4,1),(12,1),(13,1)}
       9:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1),(15,1)}
      10:{2,4,5,6}:{(6,1),(14,1),(15,1),(28,1)}
      11:{1,2,4,5}:{(8,1),(16,1),(17,1),(31,1),(40,1),(41,1)}
      12:{2,4,6}:{(7,1),(8,1),(14,1),(18,1)}
      13:{2,3,5}:{(8,1),(17,1),(18,1),(19,1)}
      14:{2,5,6}:{(9,1),(12,1)}
      15:{3,5,6}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(20,1),(24,1),(35,1),(37,1)}
      17:{1,3,5}:{(11,1),(13,1),(23,1),(24,1),(25,1)}
      18:{2,3,6}:{(12,1),(13,1),(24,1)}
      19:{2,3,4}:{(13,1),(25,1)}
      20:{1,2,5,6}:{(14,1),(16,1),(27,1),(41,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(18,1),(27,1),(28,1),(33,1)}
      22:{3,4,6}:{(15,1),(28,1),(29,1)}
      23:{2,3,5}:{(17,1),(30,1),(31,1),(41,1)}
      24:{1,3,6}:{(16,1),(17,1),(18,1),(30,1)}
      25:{1,3,4}:{(17,1),(19,1),(31,1)}
      26:{2,3,4,6}:{(18,1),(19,1),(28,1),(32,1),(33,1)}
      27:{1,3,5,6}:{(20,1),(21,1),(24,1),(34,1),(35,1),(38,1)}
      28:{2,4,6}:{(21,1),(22,1),(35,1),(36,1)}
      29:{3,4,5}:{(22,1),(36,1)}
      30:{2,3,6}:{(23,1),(24,1),(37,1)}
      31:{2,4}:{(23,1),(25,1)}
      32:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(37,1),(38,1),(42,1)}
      33:{2,3,5}:{(26,1),(36,1),(38,1)}
      34:{2,3,5,6}:{(27,1),(30,1),(39,1),(41,1),(44,1)}
      35:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      36:{2,4,5}:{(28,1),(29,1),(33,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(32,1),(41,1)}
      38:{1,3,5}:{(32,1),(33,1),(40,1),(41,1),(44,1)}
      39:{2,4,6}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(35,1),(36,1),(38,1),(43,1)}
      41:{2,5}:{(37,1),(38,1)}
      42:{3,4,6}:{(39,1),(44,1)}
      43:{2,4,5}:{(39,1),(40,1),(41,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

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

606 :  0:{1,2,4,5,6}:{(1,1),(5,1),(13,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(24,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(20,1),(21,1)}
       4:{1,3,4,5}:{(2,1),(8,1),(15,1),(26,1)}
       5:{2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,3,4,6}:{(5,1),(11,1),(12,1),(21,1),(28,1)}
       8:{2,4,5}:{(4,1),(5,1),(11,1),(13,1),(20,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(20,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(9,1),(15,1),(16,1),(18,1),(24,1),(26,1),(29,1)}
      13:{1,4,5}:{(8,1),(9,1),(15,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(20,1)}
      16:{2,4,6}:{(12,1),(20,1),(21,1),(28,1)}
      17:{1,2,4,5}:{(13,1),(14,1),(20,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(21,1),(22,1)}
      19:{1,2,4,6}:{(16,1),(23,1),(24,1),(29,1)}
      20:{2,5}:{(15,1),(16,1)}
      21:{2,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,3,5}:{(17,1),(18,1),(25,1),(26,1)}
      23:{1,2,5}:{(19,1),(20,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{2,3,5}:{(20,1),(21,1),(22,1),(27,1),(28,1)}
      26:{1,3,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{2,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

607 :  0:{1,2,3,5,6}:{(2,1),(10,1),(16,1),(33,1),(35,1),(48,1)}
       1:{1,3,4,5,6}:{(3,1),(15,1),(36,1)}
       2:{1,2,4,6}:{(0,1),(7,1),(8,1),(18,1),(44,1)}
       3:{2,4,5,6}:{(1,1),(6,1),(9,1),(25,1),(44,1)}
       4:{2,3,4,5}:{(11,1),(12,1),(34,1),(46,1)}
       5:{1,2,3,6}:{(10,1),(13,1),(48,1)}
       6:{2,3,5,6}:{(3,1),(12,1),(15,1)}
       7:{1,3,4,6}:{(2,1),(14,1),(16,1),(28,1),(48,1)}
       8:{1,2,4,5}:{(2,1),(16,1),(34,1)}
       9:{1,4,5,6}:{(3,1),(15,1),(50,1)}
      10:{1,2,3,5}:{(5,1),(18,1),(23,1),(38,1)}
      11:{1,3,4,5}:{(4,1),(20,1),(21,1),(38,1),(42,1)}
      12:{2,3,4,6}:{(4,1),(6,1),(21,1),(44,1),(53,1)}
      13:{1,2,4,6}:{(5,1),(18,1),(22,1),(23,1)}
      14:{2,3,4,6}:{(7,1),(19,1),(22,1),(24,1),(37,1),(41,1),(44,1),(53,1)}
      15:{1,3,5,6}:{(6,1),(9,1),(21,1),(25,1)}
      16:{1,3,5}:{(7,1),(8,1),(24,1)}
      17:{1,2,4,5,6}:{(8,1),(9,1),(25,1),(27,1),(39,1),(44,1),(56,1),(59,1)}
      18:{1,2,4}:{(10,1),(28,1)}
      19:{2,3,4}:{(28,1),(30,1)}
      20:{2,4,5}:{(11,1),(30,1),(31,1)}
      21:{1,3,4,6}:{(11,1),(12,1),(15,1),(31,1),(48,1),(50,1)}
      22:{1,3,4,6}:{(13,1),(14,1),(28,1),(32,1),(48,1),(50,1)}
      23:{1,2,5}:{(13,1),(32,1)}
      24:{2,3,5}:{(14,1),(16,1),(32,1),(34,1)}
      25:{2,5,6}:{(15,1),(31,1)}
      26:{1,3,4,5}:{(16,1),(34,1),(36,1)}
      27:{1,3,5,6}:{(16,1),(17,1),(35,1),(36,1),(48,1)}
      28:{1,3,4}:{(18,1),(19,1),(37,1),(38,1)}
      29:{1,2,4,5}:{(18,1),(20,1),(23,1),(38,1),(39,1),(42,1),(52,1)}
      30:{2,3,5}:{(19,1),(20,1),(38,1),(41,1)}
      31:{2,4,6}:{(20,1),(21,1),(25,1),(41,1)}
      32:{1,3,5}:{(22,1),(23,1),(24,1),(42,1)}
      33:{1,2,5,6}:{(23,1),(25,1),(39,1),(43,1),(59,1)}
      34:{2,4,5}:{(24,1),(26,1),(42,1),(44,1)}
      35:{2,3,5,6}:{(24,1),(25,1),(27,1),(41,1),(43,1),(44,1),(53,1),(59,1)}
      36:{1,3,4,6}:{(26,1),(27,1),(44,1)}
      37:{2,3,4}:{(28,1),(46,1)}
      38:{1,3,5}:{(28,1),(29,1),(30,1),(46,1),(48,1)}
      39:{1,2,4,6}:{(29,1),(31,1),(33,1),(48,1),(50,1),(57,1)}
      40:{2,3,4,5}:{(30,1),(34,1),(47,1),(49,1)}
      41:{2,3,6}:{(30,1),(31,1),(48,1)}
      42:{1,4,5}:{(32,1),(34,1),(50,1)}
      43:{1,3,5,6}:{(32,1),(33,1),(35,1),(48,1),(50,1)}
      44:{2,4,6}:{(34,1),(35,1),(36,1),(50,1)}
      45:{1,3,4,5,6}:{(36,1),(51,1),(58,1)}
      46:{2,3,5}:{(37,1),(38,1),(52,1),(53,1)}
      47:{1,3,4,5}:{(38,1),(40,1),(42,1),(52,1),(54,1)}
      48:{1,3,6}:{(38,1),(39,1),(41,1),(53,1)}
      49:{2,3,4,6}:{(40,1),(41,1),(44,1),(54,1),(55,1)}
      50:{1,4,6}:{(42,1),(43,1),(44,1)}
      51:{2,4,5,6}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      52:{2,4,5}:{(46,1),(47,1),(57,1)}
      53:{2,3,6}:{(46,1),(48,1),(57,1)}
      54:{1,3,4,6}:{(47,1),(48,1),(49,1),(50,1),(57,1),(58,1)}
      55:{2,3,5,6}:{(49,1),(51,1),(58,1)}
      56:{1,4,5,6}:{(50,1),(51,1),(58,1)}
      57:{2,4,6}:{(52,1),(53,1),(54,1),(59,1)}
      58:{1,3,5,6}:{(54,1),(55,1),(56,1),(59,1)}
      59:{2,5,6}:{(57,1),(58,1)}

608 :  0:{2,3,4,5}:{(2,1),(3,1),(30,1),(50,1)}
       1:{1,2,3,5}:{(4,1),(5,1),(20,1),(21,1)}
       2:{1,3,4,5}:{(0,1),(7,1),(8,1),(20,1),(43,1),(46,1)}
       3:{2,3,4,6}:{(0,1),(8,1),(9,1),(41,1),(58,1)}
       4:{1,2,3,6}:{(1,1),(11,1),(33,1)}
       5:{1,2,4}:{(1,1),(10,1)}
       6:{2,3,4}:{(10,1),(14,1)}
       7:{2,4,5}:{(2,1),(14,1),(15,1)}
       8:{1,3,4,6}:{(2,1),(3,1),(15,1),(16,1),(33,1),(53,1),(55,1)}
       9:{2,3,5,6}:{(3,1),(16,1),(17,1)}
      10:{1,3,4}:{(5,1),(6,1),(18,1),(20,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(19,1),(21,1)}
      12:{1,2,4,5}:{(5,1),(7,1),(20,1),(21,1),(22,1),(39,1),(43,1)}
      13:{2,3,4,6}:{(6,1),(19,1),(24,1),(25,1),(47,1)}
      14:{2,3,5}:{(6,1),(7,1),(20,1),(25,1)}
      15:{2,4,6}:{(7,1),(8,1),(25,1),(26,1)}
      16:{1,3,5,6}:{(8,1),(9,1),(26,1),(27,1),(48,1)}
      17:{2,4,5,6}:{(9,1),(27,1),(28,1),(58,1)}
      18:{2,3,4}:{(10,1),(30,1)}
      19:{1,3,4,6}:{(10,1),(11,1),(13,1),(29,1),(32,1),(33,1),(53,1)}
      20:{1,3,5}:{(10,1),(12,1),(14,1),(30,1),(33,1)}
      21:{1,2,5}:{(11,1),(32,1)}
      22:{1,2,4,6}:{(12,1),(15,1),(33,1),(34,1),(49,1),(53,1)}
      23:{2,3,4,5}:{(14,1),(31,1),(35,1),(36,1)}
      24:{2,3,5}:{(13,1),(32,1),(36,1)}
      25:{2,3,6}:{(14,1),(15,1),(33,1)}
      26:{2,5,6}:{(15,1),(16,1)}
      27:{1,4,5,6}:{(16,1),(17,1),(38,1),(53,1)}
      28:{3,4,5,6}:{(17,1),(62,1)}
      29:{2,3,4,6}:{(18,1),(19,1),(40,1),(41,1),(58,1)}
      30:{2,3,5}:{(18,1),(20,1),(39,1),(41,1)}
      31:{1,3,4,5}:{(20,1),(23,1),(39,1),(42,1),(43,1),(57,1)}
      32:{1,3,5}:{(19,1),(21,1),(24,1),(40,1),(43,1)}
      33:{1,3,6}:{(20,1),(22,1),(25,1),(41,1)}
      34:{1,2,5,6}:{(21,1),(22,1),(26,1),(44,1),(56,1)}
      35:{2,3,4,6}:{(23,1),(25,1),(42,1),(45,1),(47,1)}
      36:{2,4,5}:{(24,1),(43,1),(46,1),(47,1)}
      37:{2,3,5,6}:{(24,1),(25,1),(26,1),(44,1),(47,1),(48,1)}
      38:{2,4,5,6}:{(26,1),(27,1),(47,1),(48,1)}
      39:{2,4,5}:{(30,1),(31,1),(49,1)}
      40:{2,3,5}:{(29,1),(32,1),(50,1)}
      41:{2,3,6}:{(30,1),(33,1),(49,1)}
      42:{1,3,4,6}:{(31,1),(33,1),(35,1),(49,1),(52,1),(53,1),(62,1)}
      43:{1,4,5}:{(32,1),(36,1),(50,1),(53,1)}
      44:{1,3,5,6}:{(32,1),(33,1),(34,1),(37,1),(51,1),(53,1)}
      45:{2,3,5,6}:{(35,1),(52,1),(54,1)}
      46:{3,4,5}:{(36,1),(55,1)}
      47:{2,4,6}:{(36,1),(37,1),(53,1),(55,1)}
      48:{3,5,6}:{(38,1),(55,1)}
      49:{2,4,6}:{(39,1),(41,1),(42,1),(56,1)}
      50:{2,4,5}:{(40,1),(43,1),(57,1),(58,1)}
      51:{2,3,5,6}:{(40,1),(41,1),(44,1),(56,1),(58,1),(63,1)}
      52:{1,3,5,6}:{(42,1),(45,1),(56,1),(59,1),(63,1)}
      53:{1,4,6}:{(43,1),(44,1),(47,1),(58,1)}
      54:{2,4,5,6}:{(45,1),(47,1),(59,1),(60,1)}
      55:{3,4,6}:{(46,1),(47,1),(48,1)}
      56:{2,5,6}:{(49,1),(52,1)}
      57:{3,4,5}:{(50,1),(62,1)}
      58:{2,4,6}:{(50,1),(51,1),(53,1),(62,1)}
      59:{1,4,5,6}:{(52,1),(53,1),(54,1),(61,1)}
      60:{3,4,5,6}:{(54,1),(55,1)}
      61:{2,4,5,6}:{(56,1),(58,1),(59,1),(63,1)}
      62:{3,4,6}:{(57,1),(58,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

609 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(43,1)}
       1:{2,3,4,6}:{(0,1),(4,1),(5,1),(25,1),(38,1)}
       2:{1,3,4,5}:{(0,1),(5,1),(6,1),(13,1),(40,1),(41,1)}
       3:{3,4,5,6}:{(8,1),(42,1)}
       4:{2,3,5,6}:{(1,1),(8,1),(9,1)}
       5:{1,3,4,6}:{(1,1),(2,1),(9,1),(10,1),(20,1),(34,1),(36,1)}
       6:{2,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,5}:{(6,1),(12,1),(13,1),(26,1),(39,1),(40,1)}
       8:{2,4,5,6}:{(3,1),(4,1),(14,1),(38,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1),(29,1)}
      10:{2,4,6}:{(5,1),(6,1),(15,1),(16,1)}
      11:{2,3,5}:{(6,1),(13,1),(16,1),(17,1)}
      12:{1,2,4,6}:{(7,1),(10,1),(19,1),(20,1),(33,1),(34,1)}
      13:{1,3,5}:{(7,1),(11,1),(18,1),(20,1),(21,1)}
      14:{1,4,5,6}:{(8,1),(9,1),(22,1),(34,1)}
      15:{2,5,6}:{(9,1),(10,1)}
      16:{2,3,6}:{(10,1),(11,1),(20,1)}
      17:{2,3,4}:{(11,1),(21,1)}
      18:{2,3,5}:{(13,1),(25,1),(26,1),(39,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(27,1),(39,1)}
      20:{1,3,6}:{(12,1),(13,1),(16,1),(25,1)}
      21:{1,3,4}:{(13,1),(17,1),(26,1)}
      22:{2,4,5,6}:{(14,1),(15,1),(29,1),(30,1)}
      23:{2,3,5,6}:{(15,1),(16,1),(27,1),(29,1),(30,1),(31,1)}
      24:{2,3,4,6}:{(16,1),(17,1),(28,1),(30,1),(31,1)}
      25:{2,3,6}:{(18,1),(20,1),(33,1)}
      26:{2,4}:{(18,1),(21,1)}
      27:{1,3,5,6}:{(19,1),(20,1),(23,1),(32,1),(34,1),(35,1)}
      28:{1,3,4,6}:{(20,1),(21,1),(24,1),(33,1),(34,1),(35,1),(42,1)}
      29:{3,5,6}:{(22,1),(36,1)}
      30:{2,4,6}:{(23,1),(34,1),(36,1),(37,1)}
      31:{2,3,5}:{(24,1),(35,1),(37,1)}
      32:{2,3,5,6}:{(25,1),(27,1),(38,1),(39,1),(44,1)}
      33:{2,4,6}:{(25,1),(26,1),(28,1),(39,1)}
      34:{1,4,6}:{(27,1),(30,1),(38,1),(40,1)}
      35:{1,3,5}:{(28,1),(31,1),(39,1),(40,1),(44,1)}
      36:{3,4,6}:{(29,1),(30,1),(41,1)}
      37:{2,4,5}:{(30,1),(31,1),(40,1),(41,1)}
      38:{2,4,6}:{(32,1),(34,1),(42,1),(43,1)}
      39:{2,5}:{(33,1),(35,1)}
      40:{1,4,5}:{(34,1),(35,1),(37,1),(43,1)}
      41:{3,4,5}:{(36,1),(37,1)}
      42:{3,4,6}:{(38,1),(44,1)}
      43:{2,4,5}:{(38,1),(39,1),(40,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

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

611 :  0:{1,2,4,5,6}:{(1,1),(5,1),(13,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(24,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(20,1),(21,1)}
       4:{1,3,4,5}:{(2,1),(8,1),(15,1),(26,1)}
       5:{2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,3,4,6}:{(5,1),(11,1),(12,1),(21,1),(28,1)}
       8:{2,4,5}:{(4,1),(5,1),(11,1),(13,1),(20,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(20,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(9,1),(15,1),(16,1),(18,1),(24,1),(26,1),(29,1)}
      13:{1,4,5}:{(8,1),(9,1),(15,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(20,1)}
      16:{2,4,6}:{(12,1),(20,1),(21,1),(28,1)}
      17:{1,2,4,5}:{(13,1),(14,1),(20,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(21,1),(22,1)}
      19:{1,2,4,6}:{(16,1),(23,1),(24,1),(29,1)}
      20:{2,5}:{(15,1),(16,1)}
      21:{2,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,3,5}:{(17,1),(18,1),(25,1),(26,1)}
      23:{1,2,5}:{(19,1),(20,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{2,3,5}:{(20,1),(21,1),(22,1),(27,1),(28,1)}
      26:{1,3,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{2,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

612 :  0:{1,2,3,5,6}:{(1,1),(5,1),(17,1),(26,1),(66,1),(67,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(23,1),(36,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1),(47,1),(67,1)}
       3:{1,2,4,5}:{(1,1),(5,1),(13,1)}
       4:{2,3,4,6}:{(2,1),(9,1),(10,1),(23,1),(38,1),(62,1)}
       5:{1,3,5}:{(2,1),(3,1),(10,1)}
       6:{1,2,4,5,6}:{(3,1),(11,1),(23,1),(43,1),(59,1),(61,1)}
       7:{1,3,4,5}:{(5,1),(13,1),(14,1)}
       8:{1,2,3,6}:{(12,1),(15,1),(55,1)}
       9:{1,3,4,6}:{(4,1),(15,1),(16,1),(31,1),(33,1),(55,1)}
      10:{2,3,5}:{(4,1),(5,1),(13,1),(16,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(14,1),(17,1),(67,1)}
      12:{1,2,3,5}:{(8,1),(21,1),(24,1),(44,1)}
      13:{2,4,5}:{(7,1),(10,1),(22,1),(23,1)}
      14:{1,3,4,6}:{(7,1),(11,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(21,1),(24,1)}
      16:{1,3,5}:{(9,1),(10,1),(22,1),(24,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(23,1),(25,1),(61,1),(62,1)}
      18:{2,3,4,5}:{(13,1),(27,1),(28,1),(51,1),(68,1)}
      19:{1,2,3,5,6}:{(12,1),(29,1),(34,1),(53,1),(55,1),(69,1)}
      20:{1,3,4,5,6}:{(14,1),(30,1),(50,1),(70,1)}
      21:{1,2,4}:{(12,1),(31,1)}
      22:{1,4,5}:{(13,1),(16,1),(33,1)}
      23:{2,4,6}:{(13,1),(14,1),(17,1),(33,1)}
      24:{1,2,5}:{(15,1),(16,1)}
      25:{1,3,5,6}:{(16,1),(17,1),(33,1),(34,1),(55,1)}
      26:{1,2,3,5}:{(35,1),(36,1),(57,1),(58,1)}
      27:{1,3,4,5}:{(18,1),(22,1),(39,1),(40,1),(44,1),(58,1),(71,1)}
      28:{2,3,4,6}:{(18,1),(23,1),(37,1),(40,1),(62,1),(73,1)}
      29:{1,2,4,6}:{(19,1),(21,1),(41,1),(42,1),(73,1)}
      30:{2,4,5,6}:{(20,1),(23,1),(37,1),(43,1),(61,1),(73,1)}
      31:{1,3,4}:{(21,1),(38,1),(44,1)}
      32:{1,2,4,5}:{(21,1),(22,1),(24,1),(39,1),(44,1),(45,1)}
      33:{1,4,6}:{(22,1),(23,1),(25,1)}
      34:{1,2,5,6}:{(24,1),(25,1),(45,1),(61,1)}
      35:{1,2,3,6}:{(26,1),(46,1),(67,1)}
      36:{1,2,4}:{(26,1),(47,1)}
      37:{2,3,5,6}:{(28,1),(30,1),(50,1)}
      38:{2,3,4}:{(31,1),(47,1),(51,1)}
      39:{2,4,5}:{(27,1),(51,1),(52,1)}
      40:{1,3,4,6}:{(27,1),(28,1),(33,1),(50,1),(52,1),(55,1),(67,1),(74,1)}
      41:{1,3,4,6}:{(29,1),(31,1),(49,1),(53,1),(55,1)}
      42:{1,2,4,5}:{(29,1),(53,1),(68,1)}
      43:{1,4,5,6}:{(30,1),(33,1),(50,1),(74,1)}
      44:{1,3,5}:{(31,1),(32,1),(51,1),(55,1)}
      45:{1,2,4,6}:{(32,1),(33,1),(34,1),(52,1),(55,1)}
      46:{1,2,4,6}:{(35,1),(36,1),(56,1),(57,1)}
      47:{1,3,4}:{(36,1),(38,1),(58,1)}
      48:{1,2,4,5}:{(36,1),(39,1),(57,1),(58,1),(59,1),(71,1)}
      49:{2,3,4,6}:{(38,1),(41,1),(56,1),(60,1),(62,1),(73,1)}
      50:{1,3,5,6}:{(37,1),(40,1),(43,1),(61,1)}
      51:{2,3,5}:{(38,1),(39,1),(44,1),(58,1),(62,1)}
      52:{2,4,6}:{(39,1),(40,1),(61,1),(62,1)}
      53:{1,3,5}:{(41,1),(42,1),(60,1)}
      54:{1,2,4,5,6}:{(42,1),(43,1),(45,1),(61,1),(64,1),(73,1)}
      55:{1,3,6}:{(44,1),(45,1),(62,1)}
      56:{1,3,4,6}:{(46,1),(47,1),(49,1),(65,1),(67,1),(74,1)}
      57:{1,2,5}:{(46,1),(65,1)}
      58:{1,3,5}:{(47,1),(48,1),(51,1),(67,1)}
      59:{1,2,4,6}:{(48,1),(52,1),(66,1),(67,1),(74,1)}
      60:{2,3,5}:{(49,1),(53,1),(65,1),(68,1)}
      61:{2,5,6}:{(50,1),(52,1)}
      62:{2,3,6}:{(51,1),(52,1),(55,1),(67,1)}
      63:{1,3,4,5}:{(53,1),(68,1),(70,1)}
      64:{1,3,5,6}:{(53,1),(54,1),(55,1),(69,1),(70,1)}
      65:{1,3,5}:{(56,1),(57,1),(60,1),(71,1)}
      66:{1,2,5,6}:{(57,1),(59,1),(61,1),(72,1)}
      67:{1,3,6}:{(58,1),(59,1),(62,1)}
      68:{2,4,5}:{(60,1),(63,1),(71,1),(73,1)}
      69:{2,3,5,6}:{(60,1),(61,1),(62,1),(64,1),(72,1),(73,1)}
      70:{1,3,4,6}:{(63,1),(64,1),(73,1)}
      71:{1,4,5}:{(65,1),(68,1),(74,1)}
      72:{1,3,5,6}:{(65,1),(66,1),(67,1),(69,1),(74,1)}
      73:{2,4,6}:{(68,1),(69,1),(70,1),(74,1)}
      74:{1,4,6}:{(71,1),(72,1),(73,1)}

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

614 :  0:{2,3,4,5}:{(1,1),(2,1),(31,1),(62,1)}
       1:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(57,1)}
       2:{1,3,4,5}:{(0,1),(6,1),(7,1),(21,1),(59,1),(60,1)}
       3:{2,3,4,5}:{(8,1),(9,1),(15,1),(55,1)}
       4:{3,4,5,6}:{(12,1),(61,1)}
       5:{2,3,5,6}:{(1,1),(12,1),(13,1)}
       6:{1,3,4,6}:{(1,1),(2,1),(13,1),(14,1),(33,1),(52,1),(54,1)}
       7:{2,4,5}:{(2,1),(14,1),(15,1)}
       8:{2,3,4,6}:{(3,1),(17,1),(18,1),(26,1),(47,1)}
       9:{1,3,4,5}:{(3,1),(18,1),(19,1),(21,1),(59,1),(63,1)}
      10:{1,2,4,5}:{(7,1),(19,1),(20,1),(21,1),(23,1),(45,1),(59,1)}
      11:{1,2,3,5}:{(21,1),(22,1),(23,1),(45,1)}
      12:{2,4,5,6}:{(4,1),(5,1),(24,1),(57,1)}
      13:{1,3,5,6}:{(5,1),(6,1),(24,1),(25,1),(46,1)}
      14:{2,4,6}:{(6,1),(7,1),(25,1),(26,1)}
      15:{2,3,5}:{(7,1),(21,1),(26,1),(27,1)}
      16:{3,4,5,6}:{(28,1),(54,1)}
      17:{2,3,5,6}:{(8,1),(28,1),(29,1)}
      18:{1,3,4,6}:{(8,1),(9,1),(29,1),(30,1),(33,1),(52,1),(61,1)}
      19:{2,4,5}:{(9,1),(30,1),(31,1)}
      20:{1,2,4,6}:{(10,1),(14,1),(30,1),(32,1),(33,1),(52,1)}
      21:{1,3,5}:{(10,1),(15,1),(31,1),(33,1),(34,1)}
      22:{1,2,3,6}:{(11,1),(33,1),(35,1)}
      23:{1,2,4}:{(11,1),(34,1)}
      24:{1,4,5,6}:{(12,1),(13,1),(36,1),(52,1)}
      25:{2,5,6}:{(13,1),(14,1)}
      26:{2,3,6}:{(14,1),(15,1),(33,1)}
      27:{2,3,4}:{(15,1),(34,1)}
      28:{2,4,5,6}:{(16,1),(17,1),(39,1),(47,1)}
      29:{1,3,5,6}:{(17,1),(18,1),(39,1),(40,1),(56,1)}
      30:{2,4,6}:{(18,1),(19,1),(40,1),(41,1)}
      31:{2,3,5}:{(19,1),(21,1),(41,1),(42,1)}
      32:{1,2,5,6}:{(20,1),(25,1),(40,1),(43,1),(45,1)}
      33:{1,3,6}:{(20,1),(21,1),(26,1),(41,1)}
      34:{1,3,4}:{(21,1),(23,1),(27,1),(42,1)}
      35:{1,2,4,6}:{(22,1),(23,1),(44,1),(45,1)}
      36:{2,4,5,6}:{(24,1),(25,1),(46,1),(47,1)}
      37:{2,3,5,6}:{(25,1),(26,1),(43,1),(46,1),(47,1),(48,1)}
      38:{2,3,4,6}:{(26,1),(27,1),(44,1),(47,1),(48,1)}
      39:{1,4,5,6}:{(28,1),(29,1),(49,1),(52,1)}
      40:{2,5,6}:{(29,1),(30,1)}
      41:{2,3,6}:{(30,1),(31,1),(33,1)}
      42:{2,3,4}:{(31,1),(34,1)}
      43:{1,3,5,6}:{(32,1),(33,1),(37,1),(50,1),(52,1),(53,1)}
      44:{1,3,4,6}:{(33,1),(34,1),(35,1),(38,1),(51,1),(52,1),(53,1)}
      45:{1,2,5}:{(35,1),(53,1)}
      46:{3,5,6}:{(36,1),(54,1)}
      47:{2,4,6}:{(37,1),(52,1),(54,1),(55,1)}
      48:{2,3,5}:{(38,1),(53,1),(55,1)}
      49:{2,4,5,6}:{(39,1),(40,1),(56,1),(57,1)}
      50:{2,3,5,6}:{(40,1),(41,1),(43,1),(56,1),(57,1),(58,1)}
      51:{2,3,4,6}:{(41,1),(42,1),(44,1),(57,1),(58,1)}
      52:{1,4,6}:{(43,1),(47,1),(57,1),(59,1)}
      53:{1,3,5}:{(44,1),(45,1),(48,1),(58,1),(59,1)}
      54:{3,4,6}:{(46,1),(47,1),(60,1)}
      55:{2,4,5}:{(47,1),(48,1),(59,1),(60,1)}
      56:{3,5,6}:{(49,1),(61,1)}
      57:{2,4,6}:{(50,1),(52,1),(61,1),(62,1)}
      58:{2,3,5}:{(51,1),(53,1),(62,1)}
      59:{1,4,5}:{(52,1),(53,1),(55,1),(62,1)}
      60:{3,4,5}:{(54,1),(55,1)}
      61:{3,4,6}:{(56,1),(57,1),(63,1)}
      62:{2,4,5}:{(57,1),(58,1),(59,1),(63,1)}
      63:{3,4,5}:{(61,1),(62,1)}

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

616 :  0:{1,3,4,5,6}:{(2,1),(6,1),(9,1)}
       1:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(15,1),(24,1),(25,1),(33,1)}
       2:{2,4,5,6}:{(0,1),(4,1),(5,1),(11,1),(15,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(7,1),(28,1),(31,1)}
       4:{2,3,5,6}:{(2,1),(8,1),(9,1)}
       5:{1,4,5,6}:{(2,1),(9,1),(18,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(11,1)}
       7:{2,3,5,6}:{(3,1),(11,1),(12,1),(15,1),(22,1),(27,1),(33,1),(34,1)}
       8:{2,3,4,6}:{(4,1),(11,1),(13,1),(14,1),(34,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1)}
      10:{1,3,4,5}:{(6,1),(17,1),(28,1)}
      11:{2,4,6}:{(6,1),(7,1),(17,1),(18,1)}
      12:{1,3,5,6}:{(7,1),(18,1),(19,1),(28,1),(31,1)}
      13:{2,3,4,5}:{(8,1),(17,1),(20,1),(37,1)}
      14:{1,3,4,6}:{(8,1),(9,1),(18,1),(20,1),(21,1),(31,1)}
      15:{2,5,6}:{(9,1),(21,1)}
      16:{2,3,4,6}:{(11,1),(22,1),(23,1),(27,1),(36,1)}
      17:{2,4,5}:{(10,1),(11,1),(22,1),(24,1),(33,1)}
      18:{1,4,6}:{(11,1),(12,1),(24,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(25,1),(33,1)}
      20:{1,3,4,5}:{(13,1),(14,1),(24,1),(26,1),(35,1)}
      21:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      22:{2,3,5}:{(16,1),(17,1),(28,1)}
      23:{1,3,4,6}:{(16,1),(18,1),(28,1),(29,1),(31,1),(38,1)}
      24:{1,4,5}:{(17,1),(18,1),(28,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(29,1),(30,1),(31,1)}
      26:{2,4,5}:{(20,1),(21,1),(32,1)}
      27:{2,3,6}:{(21,1),(31,1),(32,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(33,1)}
      29:{2,4,6}:{(23,1),(33,1),(34,1),(39,1)}
      30:{1,2,4,5}:{(24,1),(25,1),(26,1),(33,1),(35,1),(39,1)}
      31:{1,3,6}:{(25,1),(27,1),(34,1),(35,1)}
      32:{2,3,5}:{(26,1),(27,1),(35,1),(36,1)}
      33:{2,5}:{(28,1),(29,1)}
      34:{2,3,6}:{(29,1),(31,1),(37,1)}
      35:{1,3,5}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{2,3,4}:{(32,1),(38,1)}
      37:{2,3,5}:{(33,1),(34,1),(35,1),(39,1)}
      38:{1,3,4}:{(35,1),(36,1),(39,1)}
      39:{2,4}:{(37,1),(38,1)}

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

618 :  0:{1,3,4,5,6}:{(1,1),(7,1),(18,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(24,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(28,1),(31,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(24,1),(32,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(21,1),(36,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1)}
       8:{1,2,4,5,6}:{(4,1),(11,1),(12,1),(19,1),(24,1),(36,1),(39,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(13,1),(26,1),(30,1)}
      10:{2,4,5}:{(6,1),(13,1),(15,1)}
      11:{2,5,6}:{(7,1),(13,1)}
      12:{1,3,5,6}:{(8,1),(17,1),(18,1),(26,1),(38,1)}
      13:{2,4,6}:{(9,1),(10,1),(11,1),(20,1)}
      14:{1,2,4,5}:{(10,1),(19,1),(21,1),(35,1),(36,1),(39,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(39,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(20,1),(23,1),(24,1),(32,1),(34,1),(39,1)}
      18:{1,3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(26,1),(30,1),(37,1)}
      20:{2,3,6}:{(13,1),(15,1),(26,1)}
      21:{1,3,5}:{(14,1),(15,1),(26,1),(28,1),(29,1)}
      22:{2,3,4}:{(15,1),(29,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(26,1),(30,1),(38,1)}
      24:{2,4,6}:{(17,1),(18,1),(30,1),(31,1)}
      25:{1,3,4,5}:{(18,1),(31,1),(38,1)}
      26:{1,3,6}:{(19,1),(20,1),(21,1),(32,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(24,1),(33,1),(34,1)}
      28:{2,3,5}:{(21,1),(32,1),(35,1),(39,1)}
      29:{1,3,4}:{(21,1),(22,1),(35,1)}
      30:{1,4,6}:{(23,1),(24,1),(36,1)}
      31:{2,4,5}:{(24,1),(25,1),(34,1),(36,1),(39,1)}
      32:{2,3,6}:{(26,1),(28,1),(37,1)}
      33:{1,3,4,6}:{(26,1),(27,1),(29,1),(30,1),(37,1),(38,1)}
      34:{2,3,5}:{(27,1),(31,1),(38,1)}
      35:{2,4}:{(28,1),(29,1)}
      36:{1,4,5}:{(30,1),(31,1),(38,1)}
      37:{2,4,6}:{(32,1),(33,1),(35,1),(39,1)}
      38:{1,3,5}:{(33,1),(34,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

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

620 :  0:{3,4,5,6}:{(2,1),(61,1)}
       1:{2,3,4,5}:{(4,1),(5,1),(38,1),(51,1)}
       2:{2,4,5,6}:{(0,1),(7,1),(8,1),(58,1)}
       3:{1,2,3,5}:{(6,1),(9,1),(22,1),(28,1)}
       4:{1,3,4,5}:{(1,1),(11,1),(12,1),(25,1),(28,1),(43,1)}
       5:{2,3,4,6}:{(1,1),(7,1),(12,1),(48,1),(58,1)}
       6:{1,2,3,6}:{(3,1),(13,1),(40,1)}
       7:{2,3,5,6}:{(2,1),(5,1),(15,1)}
       8:{1,4,5,6}:{(2,1),(15,1),(16,1),(53,1)}
       9:{1,2,4}:{(3,1),(17,1)}
      10:{2,3,4}:{(17,1),(19,1)}
      11:{2,4,5}:{(4,1),(19,1),(20,1)}
      12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(37,1),(40,1),(53,1)}
      13:{1,2,4,6}:{(6,1),(9,1),(21,1),(22,1)}
      14:{2,3,4,6}:{(10,1),(21,1),(23,1),(31,1),(45,1)}
      15:{1,3,5,6}:{(7,1),(8,1),(12,1),(24,1),(26,1)}
      16:{2,4,5,6}:{(8,1),(24,1),(26,1),(45,1)}
      17:{1,3,4}:{(9,1),(10,1),(27,1),(28,1)}
      18:{1,2,4,5}:{(9,1),(11,1),(22,1),(28,1),(29,1),(43,1),(47,1)}
      19:{2,3,5}:{(10,1),(11,1),(28,1),(31,1)}
      20:{2,4,6}:{(11,1),(12,1),(24,1),(31,1)}
      21:{1,3,4,6}:{(13,1),(14,1),(17,1),(32,1),(33,1),(40,1),(53,1)}
      22:{1,2,5}:{(13,1),(33,1)}
      23:{2,3,5}:{(14,1),(33,1),(35,1)}
      24:{2,5,6}:{(15,1),(20,1)}
      25:{3,4,5}:{(35,1),(37,1)}
      26:{3,5,6}:{(16,1),(37,1)}
      27:{2,3,4}:{(17,1),(38,1)}
      28:{1,3,5}:{(17,1),(18,1),(19,1),(38,1),(40,1)}
      29:{1,2,4,6}:{(18,1),(20,1),(34,1),(40,1),(53,1),(55,1)}
      30:{2,3,4,5}:{(19,1),(35,1),(39,1),(41,1)}
      31:{2,3,6}:{(19,1),(20,1),(40,1)}
      32:{2,3,4,6}:{(21,1),(27,1),(42,1),(48,1),(58,1)}
      33:{1,3,5}:{(21,1),(22,1),(23,1),(42,1),(43,1)}
      34:{1,2,5,6}:{(22,1),(24,1),(29,1),(44,1),(60,1)}
      35:{2,4,5}:{(23,1),(25,1),(43,1),(45,1)}
      36:{2,3,5,6}:{(23,1),(24,1),(26,1),(31,1),(44,1),(45,1)}
      37:{3,4,6}:{(25,1),(26,1),(45,1)}
      38:{2,3,5}:{(27,1),(28,1),(47,1),(48,1)}
      39:{1,3,4,5}:{(28,1),(30,1),(43,1),(47,1),(49,1),(57,1)}
      40:{1,3,6}:{(28,1),(29,1),(31,1),(48,1)}
      41:{2,3,4,6}:{(30,1),(31,1),(45,1),(49,1),(50,1)}
      42:{2,3,5}:{(32,1),(33,1),(51,1)}
      43:{1,4,5}:{(33,1),(35,1),(51,1),(53,1)}
      44:{1,3,5,6}:{(33,1),(34,1),(36,1),(40,1),(52,1),(53,1)}
      45:{2,4,6}:{(35,1),(36,1),(37,1),(53,1)}
      46:{3,4,5,6}:{(37,1),(54,1)}
      47:{2,4,5}:{(38,1),(39,1),(55,1)}
      48:{2,3,6}:{(38,1),(40,1),(55,1)}
      49:{1,3,4,6}:{(39,1),(40,1),(41,1),(53,1),(55,1),(56,1),(61,1)}
      50:{2,3,5,6}:{(41,1),(54,1),(56,1)}
      51:{2,4,5}:{(42,1),(43,1),(57,1),(58,1)}
      52:{2,3,5,6}:{(42,1),(44,1),(48,1),(58,1),(60,1),(63,1)}
      53:{1,4,6}:{(43,1),(44,1),(45,1),(58,1)}
      54:{2,4,5,6}:{(45,1),(46,1),(50,1),(59,1)}
      55:{2,4,6}:{(47,1),(48,1),(49,1),(60,1)}
      56:{1,3,5,6}:{(49,1),(50,1),(59,1),(60,1),(63,1)}
      57:{3,4,5}:{(51,1),(61,1)}
      58:{2,4,6}:{(51,1),(52,1),(53,1),(61,1)}
      59:{1,4,5,6}:{(53,1),(54,1),(56,1),(62,1)}
      60:{2,5,6}:{(55,1),(56,1)}
      61:{3,4,6}:{(57,1),(58,1),(63,1)}
      62:{2,4,5,6}:{(58,1),(59,1),(60,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

621 :  0:{1,2,3,6}:{(1,1),(2,1),(9,1),(31,1)}
       1:{1,2,3,5}:{(0,1),(4,1),(6,1),(19,1)}
       2:{1,2,4,6}:{(0,1),(4,1),(5,1),(6,1),(17,1),(38,1)}
       3:{2,3,4,6}:{(5,1),(7,1),(18,1),(24,1),(40,1)}
       4:{1,2,4}:{(1,1),(10,1)}
       5:{1,3,4,6}:{(2,1),(3,1),(8,1),(10,1),(12,1),(27,1),(31,1),(32,1),(47,1)}
       6:{1,2,5}:{(2,1),(12,1)}
       7:{2,3,5}:{(3,1),(12,1),(14,1)}
       8:{2,3,4,6}:{(5,1),(16,1),(18,1),(36,1),(40,1)}
       9:{1,2,3}:{(17,1)}
      10:{1,3,4}:{(4,1),(18,1),(19,1)}
      11:{1,2,4,5}:{(4,1),(6,1),(19,1),(20,1),(21,1),(39,1)}
      12:{1,3,5}:{(5,1),(6,1),(7,1),(16,1),(21,1)}
      13:{1,2,5,6}:{(6,1),(20,1),(22,1),(38,1),(52,1)}
      14:{2,4,5}:{(7,1),(21,1),(23,1),(24,1)}
      15:{2,3,5,6}:{(7,1),(22,1),(24,1),(40,1),(43,1),(52,1)}
      16:{2,3,5}:{(8,1),(12,1),(25,1)}
      17:{1,2,4}:{(9,1),(27,1),(28,1)}
      18:{2,3,4}:{(10,1),(27,1),(29,1)}
      19:{1,3,5}:{(10,1),(11,1),(29,1),(31,1)}
      20:{1,2,4,6}:{(11,1),(13,1),(31,1),(32,1),(48,1)}
      21:{1,4,5}:{(12,1),(14,1),(25,1),(32,1)}
      22:{1,3,5,6}:{(12,1),(13,1),(15,1),(26,1),(31,1),(32,1),(47,1),(53,1)}
      23:{3,4,5}:{(14,1),(33,1)}
      24:{2,4,6}:{(14,1),(15,1),(32,1),(33,1)}
      25:{2,4,5}:{(16,1),(21,1),(35,1),(36,1)}
      26:{2,3,5,6}:{(16,1),(22,1),(36,1),(40,1),(50,1),(52,1)}
      27:{1,3,4}:{(17,1),(18,1),(37,1)}
      28:{1,2,5}:{(17,1),(37,1),(38,1)}
      29:{2,3,5}:{(18,1),(19,1),(37,1),(39,1),(40,1)}
      30:{1,3,4,5}:{(19,1),(21,1),(23,1),(35,1),(39,1),(41,1)}
      31:{1,3,6}:{(19,1),(20,1),(40,1)}
      32:{1,4,6}:{(21,1),(22,1),(24,1),(36,1)}
      33:{3,4,6}:{(23,1),(24,1),(43,1)}
      34:{2,4,5,6}:{(24,1),(42,1),(43,1),(52,1)}
      35:{3,4,5}:{(25,1),(44,1)}
      36:{2,4,6}:{(25,1),(26,1),(32,1),(44,1)}
      37:{1,3,5}:{(27,1),(28,1),(29,1),(46,1),(47,1)}
      38:{1,2,6}:{(28,1),(47,1)}
      39:{2,4,5}:{(29,1),(30,1),(46,1),(48,1)}
      40:{2,3,6}:{(29,1),(31,1),(47,1),(48,1)}
      41:{1,3,4,6}:{(30,1),(31,1),(32,1),(33,1),(44,1),(48,1),(49,1)}
      42:{1,4,5,6}:{(32,1),(34,1),(45,1),(49,1),(53,1)}
      43:{3,5,6}:{(33,1),(34,1)}
      44:{3,4,6}:{(35,1),(36,1),(50,1)}
      45:{2,4,5,6}:{(36,1),(42,1),(50,1),(52,1)}
      46:{1,4,5}:{(37,1),(39,1),(51,1)}
      47:{1,3,6}:{(37,1),(38,1),(40,1),(51,1)}
      48:{2,4,6}:{(39,1),(40,1),(41,1),(51,1),(52,1)}
      49:{1,3,5,6}:{(41,1),(42,1),(43,1),(50,1),(52,1)}
      50:{3,5,6}:{(44,1),(45,1)}
      51:{1,4,6}:{(46,1),(47,1),(48,1),(53,1)}
      52:{2,5,6}:{(48,1),(49,1),(53,1)}
      53:{1,5,6}:{(51,1),(52,1)}

622 :  0:{1,2,3}:{(1,1)}
       1:{1,2,4}:{(0,1),(3,1),(4,1)}
       2:{2,3,4}:{(3,1),(5,1)}
       3:{1,3,4}:{(1,1),(2,1),(7,1),(8,1)}
       4:{1,2,5}:{(1,1),(8,1),(9,1)}
       5:{2,3,5}:{(2,1),(8,1),(10,1),(11,1)}
       6:{3,4,5}:{(10,1),(12,1)}
       7:{2,3,4}:{(3,1),(14,1)}
       8:{1,3,5}:{(3,1),(4,1),(5,1),(14,1),(15,1),(16,1)}
       9:{1,2,6}:{(4,1),(16,1)}
      10:{2,4,5}:{(5,1),(6,1),(15,1),(17,1)}
      11:{2,3,6}:{(5,1),(16,1),(17,1)}
      12:{3,4,6}:{(6,1),(17,1),(18,1)}
      13:{4,5,6}:{(18,1)}
      14:{2,3,5}:{(7,1),(8,1),(19,1),(20,1)}
      15:{1,4,5}:{(8,1),(10,1),(19,1),(21,1)}
      16:{1,3,6}:{(8,1),(9,1),(11,1),(20,1),(21,1)}
      17:{2,4,6}:{(10,1),(11,1),(12,1),(21,1),(22,1)}
      18:{3,5,6}:{(12,1),(13,1),(22,1)}
      19:{2,4,5}:{(14,1),(15,1),(23,1),(24,1)}
      20:{2,3,6}:{(14,1),(16,1),(24,1)}
      21:{1,4,6}:{(15,1),(16,1),(17,1),(24,1),(25,1)}
      22:{2,5,6}:{(17,1),(18,1),(25,1)}
      23:{3,4,5}:{(19,1),(26,1)}
      24:{2,4,6}:{(19,1),(20,1),(21,1),(26,1),(27,1)}
      25:{1,5,6}:{(21,1),(22,1),(27,1)}
      26:{3,4,6}:{(23,1),(24,1),(28,1)}
      27:{2,5,6}:{(24,1),(25,1),(28,1)}
      28:{3,5,6}:{(26,1),(27,1),(29,1)}
      29:{4,5,6}:{(28,1)}

623 :  0:{1,2,3,5,6}:{(2,1),(10,1),(11,1),(48,1),(65,1),(72,1)}
       1:{1,2,4,5,6}:{(4,1),(5,1),(16,1),(18,1),(39,1),(57,1)}
       2:{1,2,4,6}:{(0,1),(5,1),(6,1),(18,1),(74,1)}
       3:{1,3,4,5,6}:{(8,1),(9,1),(23,1),(26,1)}
       4:{1,3,5,6}:{(1,1),(9,1),(10,1),(11,1),(65,1)}
       5:{1,2,4,5}:{(2,1),(11,1),(27,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(12,1),(65,1),(73,1)}
       7:{1,2,4,5,6}:{(14,1),(16,1),(32,1),(35,1),(39,1),(41,1)}
       8:{2,4,5,6}:{(3,1),(15,1),(16,1),(18,1),(35,1),(39,1)}
       9:{1,3,4,6}:{(4,1),(17,1),(18,1)}
      10:{2,3,5,6}:{(4,1),(18,1),(19,1),(20,1),(39,1),(59,1)}
      11:{1,3,5}:{(5,1),(6,1),(20,1)}
      12:{2,3,4,6}:{(6,1),(18,1),(20,1),(21,1),(59,1),(71,1)}
      13:{1,2,3,5,6}:{(22,1),(24,1),(29,1),(44,1),(52,1),(53,1)}
      14:{1,3,5,6}:{(7,1),(23,1),(24,1),(44,1),(52,1)}
      15:{2,3,5,6}:{(8,1),(25,1),(26,1)}
      16:{1,4,5,6}:{(8,1),(26,1),(28,1),(47,1)}
      17:{1,3,4,5}:{(9,1),(11,1),(27,1)}
      18:{2,4,6}:{(9,1),(10,1),(27,1),(28,1)}
      19:{1,3,5,6}:{(10,1),(28,1),(29,1),(30,1),(52,1)}
      20:{2,3,5}:{(11,1),(12,1),(27,1),(30,1)}
      21:{1,3,4,6}:{(12,1),(28,1),(30,1),(31,1),(52,1),(67,1)}
      22:{1,2,4,6}:{(13,1),(32,1),(33,1),(35,1),(61,1)}
      23:{1,3,4,6}:{(14,1),(34,1),(35,1)}
      24:{2,3,5,6}:{(14,1),(35,1),(36,1),(39,1),(54,1),(59,1)}
      25:{2,3,4,6}:{(15,1),(18,1),(35,1),(37,1),(38,1),(59,1)}
      26:{1,3,5,6}:{(15,1),(16,1),(38,1),(39,1)}
      27:{2,4,5}:{(17,1),(18,1),(20,1),(40,1)}
      28:{1,4,6}:{(18,1),(19,1),(40,1)}
      29:{1,2,5,6}:{(19,1),(39,1),(41,1),(42,1)}
      30:{1,3,5}:{(20,1),(21,1),(40,1),(42,1)}
      31:{1,2,4,6}:{(21,1),(42,1),(43,1),(61,1)}
      32:{1,2,4,5}:{(22,1),(44,1),(46,1)}
      33:{1,3,4,6}:{(22,1),(44,1),(45,1),(52,1),(67,1)}
      34:{1,3,4,5}:{(23,1),(44,1),(46,1)}
      35:{2,4,6}:{(23,1),(24,1),(46,1),(47,1)}
      36:{1,3,5,6}:{(24,1),(47,1),(48,1),(62,1),(65,1)}
      37:{2,3,4,5}:{(25,1),(27,1),(46,1),(49,1),(66,1)}
      38:{1,3,4,6}:{(25,1),(26,1),(28,1),(47,1),(49,1),(50,1),(52,1),(65,1)}
      39:{2,5,6}:{(26,1),(50,1)}
      40:{1,4,5}:{(27,1),(28,1),(30,1)}
      41:{1,2,4,6}:{(28,1),(29,1),(50,1),(51,1),(52,1)}
      42:{1,2,5}:{(30,1),(31,1)}
      43:{1,2,3,6}:{(31,1),(52,1),(53,1)}
      44:{1,3,5}:{(32,1),(33,1),(54,1)}
      45:{2,3,4,6}:{(33,1),(35,1),(54,1),(55,1),(59,1),(71,1)}
      46:{2,4,5}:{(34,1),(35,1),(54,1),(56,1)}
      47:{1,4,6}:{(35,1),(36,1),(56,1)}
      48:{1,2,5,6}:{(36,1),(39,1),(57,1),(68,1)}
      49:{1,3,4,5}:{(37,1),(38,1),(40,1),(56,1),(58,1),(60,1),(70,1)}
      50:{2,4,6}:{(38,1),(39,1),(58,1),(59,1)}
      51:{1,2,4,5}:{(40,1),(41,1),(42,1),(58,1),(60,1),(61,1)}
      52:{1,3,6}:{(41,1),(59,1),(60,1)}
      53:{1,2,3,5}:{(42,1),(43,1),(60,1),(61,1)}
      54:{2,3,5}:{(44,1),(45,1),(46,1),(62,1)}
      55:{1,3,4,6}:{(45,1),(47,1),(62,1),(63,1),(65,1),(73,1)}
      56:{1,4,5}:{(46,1),(47,1),(62,1)}
      57:{1,2,4,6}:{(47,1),(48,1),(50,1),(64,1),(65,1)}
      58:{2,4,5}:{(49,1),(50,1),(66,1)}
      59:{2,3,6}:{(50,1),(52,1),(65,1),(66,1)}
      60:{1,3,5}:{(51,1),(52,1),(66,1),(67,1)}
      61:{1,2,4}:{(53,1),(67,1)}
      62:{1,3,5}:{(54,1),(55,1),(56,1),(68,1)}
      63:{1,2,4,6}:{(55,1),(68,1),(69,1),(74,1)}
      64:{1,2,4,5}:{(56,1),(57,1),(58,1),(68,1),(70,1),(74,1)}
      65:{1,3,6}:{(57,1),(59,1),(70,1)}
      66:{2,3,5}:{(58,1),(59,1),(60,1),(70,1),(71,1)}
      67:{1,3,4}:{(60,1),(61,1),(71,1)}
      68:{1,2,5}:{(62,1),(63,1)}
      69:{1,2,3,6}:{(63,1),(65,1),(72,1)}
      70:{1,3,5}:{(64,1),(65,1),(66,1),(73,1)}
      71:{2,3,4}:{(66,1),(67,1),(73,1)}
      72:{1,2,3,5}:{(68,1),(69,1),(70,1),(74,1)}
      73:{1,3,4}:{(70,1),(71,1),(74,1)}
      74:{1,2,4}:{(72,1),(73,1)}

624 :  0:{1,2,3,4,6}:{(1,1),(5,1)}
       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),(9,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       6:{1,2,4,5,6}:{(5,1),(9,1),(17,1)}
       7:{2,3,4,5}:{(4,1),(10,1),(11,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(9,1),(11,1)}
       9:{1,3,5,6}:{(6,1),(8,1),(13,1)}
      10:{1,3,4,5}:{(7,1),(15,1),(16,1)}
      11:{2,3,4,6}:{(7,1),(8,1),(13,1),(16,1)}
      12:{1,3,4,5,6}:{(9,1),(17,1)}
      13:{2,3,5,6}:{(9,1),(11,1),(17,1),(18,1)}
      14:{1,2,3,4}:{(19,1)}
      15:{1,2,4,5}:{(10,1),(19,1),(20,1)}
      16:{1,3,4,6}:{(10,1),(11,1),(18,1),(20,1)}
      17:{2,4,5,6}:{(12,1),(13,1),(21,1)}
      18:{1,3,5,6}:{(13,1),(16,1),(21,1),(22,1)}
      19:{1,2,3,5}:{(14,1),(15,1),(23,1)}
      20:{1,2,4,6}:{(15,1),(16,1),(22,1),(23,1)}
      21:{1,4,5,6}:{(17,1),(18,1)}
      22:{1,2,5,6}:{(18,1),(20,1)}
      23:{1,2,3,6}:{(19,1),(20,1)}

625 :  0:{1,2,3,5,6}:{(1,1),(5,1),(19,1),(33,1),(63,1),(73,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(25,1),(45,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1),(57,1),(73,1)}
       3:{1,2,4,5}:{(1,1),(5,1),(15,1)}
       4:{2,3,4,6}:{(2,1),(9,1),(10,1),(25,1),(46,1),(69,1)}
       5:{1,3,5}:{(2,1),(3,1),(10,1)}
       6:{1,2,4,5,6}:{(3,1),(11,1),(25,1),(32,1),(54,1),(68,1)}
       7:{1,3,4,5}:{(5,1),(15,1),(16,1)}
       8:{1,2,3,6}:{(14,1),(17,1),(61,1)}
       9:{1,3,4,6}:{(4,1),(17,1),(18,1),(36,1),(38,1),(61,1)}
      10:{2,3,5}:{(4,1),(5,1),(15,1),(18,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(16,1),(19,1),(73,1)}
      12:{1,2,3,5,6}:{(14,1),(20,1),(39,1),(43,1),(61,1),(65,1)}
      13:{1,3,4,5,6}:{(16,1),(21,1),(42,1),(66,1)}
      14:{1,2,3,5}:{(8,1),(23,1),(26,1),(49,1)}
      15:{2,4,5}:{(7,1),(10,1),(24,1),(25,1)}
      16:{1,3,4,6}:{(7,1),(11,1),(25,1)}
      17:{1,2,4,6}:{(8,1),(9,1),(23,1),(26,1)}
      18:{1,3,5}:{(9,1),(10,1),(24,1),(26,1)}
      19:{2,3,5,6}:{(10,1),(11,1),(25,1),(27,1),(54,1),(69,1)}
      20:{1,2,4,6}:{(12,1),(23,1),(30,1),(31,1),(72,1)}
      21:{2,4,5,6}:{(13,1),(25,1),(29,1),(32,1),(54,1),(72,1)}
      22:{2,3,4,5}:{(15,1),(34,1),(35,1),(59,1),(64,1)}
      23:{1,2,4}:{(14,1),(36,1)}
      24:{1,4,5}:{(15,1),(18,1),(38,1)}
      25:{2,4,6}:{(15,1),(16,1),(19,1),(38,1)}
      26:{1,2,5}:{(17,1),(18,1)}
      27:{1,3,5,6}:{(18,1),(19,1),(38,1),(39,1),(61,1)}
      28:{1,2,3,6}:{(33,1),(40,1),(73,1)}
      29:{2,3,5,6}:{(21,1),(35,1),(42,1)}
      30:{1,3,4,6}:{(20,1),(36,1),(41,1),(43,1),(61,1)}
      31:{1,2,4,5}:{(20,1),(43,1),(64,1)}
      32:{1,4,5,6}:{(21,1),(38,1),(42,1),(74,1)}
      33:{1,2,3,5}:{(28,1),(45,1),(52,1),(67,1)}
      34:{1,3,4,5}:{(22,1),(24,1),(47,1),(48,1),(49,1),(67,1),(70,1)}
      35:{2,3,4,6}:{(22,1),(25,1),(29,1),(48,1),(69,1),(72,1)}
      36:{1,3,4}:{(23,1),(46,1),(49,1)}
      37:{1,2,4,5}:{(23,1),(24,1),(26,1),(47,1),(49,1),(50,1)}
      38:{1,4,6}:{(24,1),(25,1),(27,1)}
      39:{1,2,5,6}:{(26,1),(27,1),(50,1),(54,1)}
      40:{1,2,4,6}:{(28,1),(45,1),(51,1),(52,1)}
      41:{2,3,4,6}:{(30,1),(46,1),(51,1),(53,1),(69,1),(72,1)}
      42:{1,3,5,6}:{(29,1),(32,1),(48,1),(54,1)}
      43:{1,3,5}:{(30,1),(31,1),(53,1)}
      44:{1,2,4,5,6}:{(31,1),(32,1),(50,1),(54,1),(56,1),(72,1)}
      45:{1,2,4}:{(33,1),(57,1)}
      46:{2,3,4}:{(36,1),(57,1),(59,1)}
      47:{2,4,5}:{(34,1),(59,1),(60,1)}
      48:{1,3,4,6}:{(34,1),(35,1),(38,1),(42,1),(60,1),(61,1),(73,1),(74,1)}
      49:{1,3,5}:{(36,1),(37,1),(59,1),(61,1)}
      50:{1,2,4,6}:{(37,1),(38,1),(39,1),(60,1),(61,1)}
      51:{1,3,4,6}:{(40,1),(41,1),(57,1),(62,1),(73,1),(74,1)}
      52:{1,2,5}:{(40,1),(62,1)}
      53:{2,3,5}:{(41,1),(43,1),(62,1),(64,1)}
      54:{2,5,6}:{(42,1),(60,1)}
      55:{1,3,4,5}:{(43,1),(64,1),(66,1)}
      56:{1,3,5,6}:{(43,1),(44,1),(61,1),(65,1),(66,1)}
      57:{1,3,4}:{(45,1),(46,1),(67,1)}
      58:{1,2,4,5}:{(45,1),(47,1),(52,1),(67,1),(68,1),(70,1)}
      59:{2,3,5}:{(46,1),(47,1),(49,1),(67,1),(69,1)}
      60:{2,4,6}:{(47,1),(48,1),(54,1),(69,1)}
      61:{1,3,6}:{(49,1),(50,1),(69,1)}
      62:{1,3,5}:{(51,1),(52,1),(53,1),(70,1)}
      63:{1,2,5,6}:{(52,1),(54,1),(68,1),(71,1)}
      64:{2,4,5}:{(53,1),(55,1),(70,1),(72,1)}
      65:{2,3,5,6}:{(53,1),(54,1),(56,1),(69,1),(71,1),(72,1)}
      66:{1,3,4,6}:{(55,1),(56,1),(72,1)}
      67:{1,3,5}:{(57,1),(58,1),(59,1),(73,1)}
      68:{1,2,4,6}:{(58,1),(60,1),(63,1),(73,1),(74,1)}
      69:{2,3,6}:{(59,1),(60,1),(61,1),(73,1)}
      70:{1,4,5}:{(62,1),(64,1),(74,1)}
      71:{1,3,5,6}:{(62,1),(63,1),(65,1),(73,1),(74,1)}
      72:{2,4,6}:{(64,1),(65,1),(66,1),(74,1)}
      73:{1,3,6}:{(67,1),(68,1),(69,1)}
      74:{1,4,6}:{(70,1),(71,1),(72,1)}

626 :  0:{2,3,4,5}:{(1,1),(2,1),(17,1),(52,1)}
       1:{2,3,4,6}:{(0,1),(6,1),(7,1),(26,1),(45,1)}
       2:{1,3,4,5}:{(0,1),(7,1),(8,1),(10,1),(23,1),(47,1),(54,1),(55,1)}
       3:{1,2,4,5}:{(8,1),(9,1),(10,1),(12,1),(30,1),(47,1)}
       4:{1,2,3,5}:{(10,1),(11,1),(12,1),(30,1)}
       5:{3,4,5,6}:{(14,1),(51,1)}
       6:{2,3,5,6}:{(1,1),(14,1),(15,1)}
       7:{1,3,4,6}:{(1,1),(2,1),(15,1),(16,1),(19,1),(33,1),(38,1),(49,1),(51,1)}
       8:{2,4,5}:{(2,1),(16,1),(17,1)}
       9:{1,2,4,6}:{(3,1),(16,1),(18,1),(19,1),(38,1)}
      10:{1,3,5}:{(3,1),(17,1),(19,1),(20,1)}
      11:{1,2,3,6}:{(4,1),(19,1),(21,1)}
      12:{1,2,4}:{(4,1),(20,1)}
      13:{1,2,4,5}:{(8,1),(22,1),(23,1),(41,1),(53,1),(54,1)}
      14:{2,4,5,6}:{(5,1),(6,1),(24,1),(45,1)}
      15:{1,3,5,6}:{(6,1),(7,1),(24,1),(25,1),(44,1)}
      16:{2,4,6}:{(7,1),(8,1),(25,1),(26,1)}
      17:{2,3,5}:{(8,1),(10,1),(23,1),(26,1),(27,1)}
      18:{1,2,5,6}:{(9,1),(25,1),(28,1),(30,1)}
      19:{1,3,6}:{(9,1),(10,1),(26,1)}
      20:{1,3,4}:{(10,1),(12,1),(27,1)}
      21:{1,2,4,6}:{(11,1),(12,1),(29,1),(30,1)}
      22:{1,2,4,6}:{(13,1),(16,1),(32,1),(33,1),(49,1)}
      23:{1,3,5}:{(13,1),(17,1),(33,1),(34,1)}
      24:{1,4,5,6}:{(14,1),(15,1),(35,1),(38,1),(49,1)}
      25:{2,5,6}:{(15,1),(16,1)}
      26:{2,3,6}:{(16,1),(17,1),(19,1),(33,1)}
      27:{2,3,4}:{(17,1),(20,1),(34,1)}
      28:{1,3,5,6}:{(18,1),(19,1),(36,1),(38,1),(39,1)}
      29:{1,3,4,6}:{(19,1),(20,1),(21,1),(37,1),(38,1),(39,1)}
      30:{1,2,5}:{(21,1),(39,1)}
      31:{1,2,3,5}:{(23,1),(40,1),(41,1),(53,1)}
      32:{1,2,5,6}:{(22,1),(25,1),(42,1),(53,1)}
      33:{1,3,6}:{(22,1),(23,1),(26,1)}
      34:{1,3,4}:{(23,1),(27,1),(41,1)}
      35:{2,4,5,6}:{(24,1),(25,1),(44,1),(45,1)}
      36:{2,3,5,6}:{(25,1),(26,1),(28,1),(42,1),(44,1),(45,1),(46,1)}
      37:{2,3,4,6}:{(26,1),(27,1),(29,1),(43,1),(45,1),(46,1)}
      38:{1,4,6}:{(28,1),(45,1),(47,1)}
      39:{1,3,5}:{(29,1),(30,1),(46,1),(47,1)}
      40:{1,2,3,6}:{(31,1),(33,1),(48,1)}
      41:{1,2,4}:{(31,1),(34,1)}
      42:{1,3,5,6}:{(32,1),(33,1),(36,1),(49,1),(50,1)}
      43:{1,3,4,6}:{(33,1),(34,1),(37,1),(48,1),(49,1),(50,1)}
      44:{3,5,6}:{(35,1),(51,1)}
      45:{2,4,6}:{(36,1),(38,1),(49,1),(51,1),(52,1)}
      46:{2,3,5}:{(37,1),(39,1),(50,1),(52,1)}
      47:{1,4,5}:{(38,1),(39,1),(52,1)}
      48:{1,2,4,6}:{(40,1),(41,1),(43,1),(53,1)}
      49:{1,4,6}:{(42,1),(45,1),(54,1)}
      50:{1,3,5}:{(43,1),(46,1),(53,1),(54,1)}
      51:{3,4,6}:{(44,1),(45,1),(55,1)}
      52:{2,4,5}:{(45,1),(46,1),(47,1),(54,1),(55,1)}
      53:{1,2,5}:{(48,1),(50,1)}
      54:{1,4,5}:{(49,1),(50,1),(52,1)}
      55:{3,4,5}:{(51,1),(52,1)}

627 :  0:{1,2,3,5,6}:{(1,1),(7,1),(22,1),(62,1),(63,1),(73,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(32,1),(70,1)}
       2:{1,2,3,5,6}:{(5,1),(17,1),(39,1),(47,1),(48,1),(66,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(21,1)}
       4:{1,3,4,6}:{(1,1),(7,1),(8,1),(73,1),(74,1)}
       5:{1,2,4,6}:{(2,1),(9,1),(10,1),(49,1),(59,1)}
       6:{1,2,4,5,6}:{(3,1),(13,1),(31,1),(32,1),(56,1),(68,1)}
       7:{1,3,5}:{(3,1),(4,1),(14,1)}
       8:{2,3,4,6}:{(4,1),(14,1),(15,1),(32,1),(71,1),(72,1)}
       9:{1,2,4,5}:{(5,1),(17,1),(38,1)}
      10:{1,3,4,6}:{(5,1),(17,1),(18,1),(66,1),(67,1)}
      11:{1,3,4,5,6}:{(19,1),(20,1),(37,1),(44,1)}
      12:{1,3,4,5}:{(7,1),(20,1),(21,1)}
      13:{1,3,5,6}:{(6,1),(7,1),(20,1),(22,1),(73,1)}
      14:{2,3,5}:{(7,1),(8,1),(21,1),(23,1)}
      15:{1,3,4,6}:{(8,1),(23,1),(24,1),(45,1),(66,1),(67,1)}
      16:{1,2,4,5,6}:{(9,1),(26,1),(31,1),(49,1),(56,1),(57,1)}
      17:{1,3,5}:{(9,1),(10,1),(27,1)}
      18:{2,3,4,6}:{(10,1),(27,1),(28,1),(49,1),(71,1),(72,1)}
      19:{2,4,5,6}:{(11,1),(30,1),(31,1),(32,1),(49,1),(56,1)}
      20:{1,3,4,6}:{(12,1),(13,1),(32,1)}
      21:{2,4,5}:{(12,1),(14,1),(32,1),(33,1)}
      22:{2,3,5,6}:{(13,1),(14,1),(32,1),(34,1),(56,1),(71,1)}
      23:{1,3,5}:{(14,1),(15,1),(33,1),(35,1)}
      24:{1,2,4,6}:{(15,1),(35,1),(36,1),(59,1)}
      25:{1,3,4,5}:{(17,1),(37,1),(38,1)}
      26:{1,3,5,6}:{(16,1),(17,1),(37,1),(39,1),(66,1)}
      27:{2,3,5}:{(17,1),(18,1),(38,1),(40,1)}
      28:{1,3,4,6}:{(18,1),(40,1),(41,1),(60,1),(73,1),(74,1)}
      29:{2,3,4,5}:{(21,1),(38,1),(42,1),(43,1),(65,1)}
      30:{2,3,5,6}:{(19,1),(42,1),(44,1)}
      31:{1,4,5,6}:{(19,1),(44,1),(45,1),(60,1)}
      32:{2,4,6}:{(20,1),(21,1),(22,1),(45,1)}
      33:{1,4,5}:{(21,1),(23,1),(45,1)}
      34:{1,3,5,6}:{(22,1),(23,1),(45,1),(47,1),(66,1)}
      35:{1,2,5}:{(23,1),(24,1)}
      36:{1,2,3,6}:{(24,1),(48,1),(66,1)}
      37:{1,3,4,6}:{(25,1),(26,1),(49,1)}
      38:{2,4,5}:{(25,1),(27,1),(49,1),(50,1)}
      39:{2,3,5,6}:{(26,1),(27,1),(49,1),(51,1),(56,1),(71,1)}
      40:{1,3,5}:{(27,1),(28,1),(50,1),(52,1)}
      41:{1,2,4,6}:{(28,1),(52,1),(53,1),(70,1)}
      42:{2,3,4,6}:{(29,1),(30,1),(32,1),(49,1),(54,1),(71,1)}
      43:{1,3,4,5}:{(29,1),(33,1),(50,1),(54,1),(55,1),(58,1),(69,1)}
      44:{1,3,5,6}:{(30,1),(31,1),(54,1),(56,1)}
      45:{1,4,6}:{(32,1),(33,1),(34,1)}
      46:{1,2,4,5}:{(33,1),(35,1),(55,1),(57,1),(58,1),(59,1)}
      47:{1,2,5,6}:{(34,1),(35,1),(56,1),(57,1)}
      48:{1,2,3,5}:{(35,1),(36,1),(58,1),(59,1)}
      49:{2,4,6}:{(37,1),(38,1),(39,1),(60,1)}
      50:{1,4,5}:{(38,1),(40,1),(60,1)}
      51:{1,3,5,6}:{(39,1),(40,1),(60,1),(62,1),(73,1)}
      52:{1,2,5}:{(40,1),(41,1)}
      53:{1,2,3,6}:{(41,1),(63,1),(73,1)}
      54:{1,3,4,6}:{(42,1),(43,1),(44,1),(45,1),(60,1),(64,1),(66,1),(73,1)}
      55:{2,4,5}:{(43,1),(64,1),(65,1)}
      56:{2,5,6}:{(44,1),(64,1)}
      57:{1,2,4,6}:{(45,1),(46,1),(47,1),(64,1),(66,1)}
      58:{1,3,5}:{(46,1),(65,1),(66,1),(67,1)}
      59:{1,2,4}:{(48,1),(67,1)}
      60:{1,4,6}:{(49,1),(50,1),(51,1)}
      61:{1,2,4,5}:{(50,1),(52,1),(55,1),(68,1),(69,1),(70,1)}
      62:{1,2,5,6}:{(51,1),(52,1),(56,1),(68,1)}
      63:{1,2,3,5}:{(52,1),(53,1),(69,1),(70,1)}
      64:{2,4,6}:{(54,1),(55,1),(56,1),(71,1)}
      65:{2,3,5}:{(55,1),(58,1),(69,1),(71,1),(72,1)}
      66:{1,3,6}:{(57,1),(58,1),(71,1)}
      67:{1,3,4}:{(58,1),(59,1),(72,1)}
      68:{1,2,4,6}:{(60,1),(61,1),(62,1),(64,1),(73,1)}
      69:{1,3,5}:{(61,1),(65,1),(73,1),(74,1)}
      70:{1,2,4}:{(63,1),(74,1)}
      71:{2,3,6}:{(64,1),(65,1),(66,1),(73,1)}
      72:{2,3,4}:{(65,1),(67,1),(74,1)}
      73:{1,3,6}:{(68,1),(69,1),(71,1)}
      74:{1,3,4}:{(69,1),(70,1),(72,1)}

628 :  0:{1,2,3,5}:{(2,1),(3,1),(18,1),(19,1)}
       1:{2,3,4,5}:{(5,1),(6,1),(27,1),(46,1)}
       2:{1,2,3,6}:{(0,1),(7,1),(31,1)}
       3:{1,2,4}:{(0,1),(8,1)}
       4:{1,2,3,5}:{(10,1),(11,1),(33,1),(34,1)}
       5:{1,3,4,5}:{(1,1),(15,1),(16,1),(19,1),(34,1),(40,1),(49,1),(51,1)}
       6:{2,3,4,6}:{(1,1),(13,1),(16,1),(39,1),(53,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(17,1),(18,1)}
       8:{1,3,4}:{(3,1),(14,1),(19,1)}
       9:{1,2,4,5}:{(3,1),(15,1),(18,1),(19,1),(20,1),(40,1)}
      10:{1,2,3,6}:{(4,1),(21,1),(44,1)}
      11:{1,2,4}:{(4,1),(22,1)}
      12:{3,4,5,6}:{(24,1),(55,1)}
      13:{2,3,5,6}:{(6,1),(24,1),(26,1)}
      14:{2,3,4}:{(8,1),(22,1),(27,1)}
      15:{2,4,5}:{(5,1),(27,1),(28,1)}
      16:{1,3,4,6}:{(5,1),(6,1),(26,1),(28,1),(31,1),(44,1),(48,1),(54,1),(55,1)}
      17:{1,3,4,6}:{(7,1),(8,1),(25,1),(29,1),(31,1),(48,1)}
      18:{1,2,5}:{(7,1),(29,1)}
      19:{1,3,5}:{(8,1),(9,1),(27,1),(31,1)}
      20:{1,2,4,6}:{(9,1),(28,1),(30,1),(31,1),(48,1)}
      21:{1,2,4,6}:{(10,1),(11,1),(32,1),(33,1)}
      22:{1,3,4}:{(11,1),(14,1),(34,1)}
      23:{1,2,4,5}:{(11,1),(15,1),(33,1),(34,1),(35,1),(49,1)}
      24:{2,4,5,6}:{(12,1),(13,1),(36,1),(53,1)}
      25:{2,3,4,6}:{(14,1),(17,1),(32,1),(37,1),(39,1),(53,1)}
      26:{1,3,5,6}:{(13,1),(16,1),(36,1),(38,1),(52,1)}
      27:{2,3,5}:{(14,1),(15,1),(19,1),(34,1),(39,1)}
      28:{2,4,6}:{(15,1),(16,1),(38,1),(39,1)}
      29:{1,3,5}:{(17,1),(18,1),(37,1),(40,1)}
      30:{1,2,5,6}:{(18,1),(20,1),(38,1),(41,1)}
      31:{1,3,6}:{(19,1),(20,1),(39,1)}
      32:{1,3,4,6}:{(21,1),(22,1),(25,1),(42,1),(44,1),(54,1)}
      33:{1,2,5}:{(21,1),(42,1)}
      34:{1,3,5}:{(22,1),(23,1),(27,1),(44,1)}
      35:{1,2,4,6}:{(23,1),(28,1),(43,1),(44,1),(54,1)}
      36:{1,4,5,6}:{(24,1),(26,1),(45,1),(48,1),(54,1)}
      37:{2,3,5}:{(25,1),(29,1),(42,1),(46,1)}
      38:{2,5,6}:{(26,1),(28,1)}
      39:{2,3,6}:{(27,1),(28,1),(31,1),(44,1)}
      40:{1,4,5}:{(29,1),(46,1),(48,1)}
      41:{1,3,5,6}:{(29,1),(30,1),(31,1),(47,1),(48,1)}
      42:{1,3,5}:{(32,1),(33,1),(37,1),(49,1)}
      43:{1,2,5,6}:{(33,1),(35,1),(38,1),(50,1)}
      44:{1,3,6}:{(34,1),(35,1),(39,1)}
      45:{2,4,5,6}:{(36,1),(38,1),(52,1),(53,1)}
      46:{2,4,5}:{(37,1),(40,1),(49,1),(51,1),(53,1)}
      47:{2,3,5,6}:{(37,1),(38,1),(39,1),(41,1),(50,1),(52,1),(53,1)}
      48:{1,4,6}:{(40,1),(41,1),(53,1)}
      49:{1,4,5}:{(42,1),(46,1),(54,1)}
      50:{1,3,5,6}:{(42,1),(43,1),(44,1),(47,1),(54,1)}
      51:{3,4,5}:{(46,1),(55,1)}
      52:{3,5,6}:{(45,1),(55,1)}
      53:{2,4,6}:{(46,1),(47,1),(48,1),(54,1),(55,1)}
      54:{1,4,6}:{(49,1),(50,1),(53,1)}
      55:{3,4,6}:{(51,1),(52,1),(53,1)}

629 :  0:{1,2,3,4,6}:{(1,1),(4,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(9,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{1,3,4,5}:{(3,1),(7,1),(8,1)}
       6:{1,2,4,5,6}:{(4,1),(9,1),(16,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{2,3,4,5}:{(5,1),(10,1),(11,1)}
       9:{1,3,5,6}:{(6,1),(7,1),(13,1)}
      10:{2,3,4,6}:{(7,1),(8,1),(13,1),(14,1)}
      11:{1,3,4,5}:{(8,1),(14,1),(15,1)}
      12:{1,3,4,5,6}:{(9,1),(16,1)}
      13:{2,3,5,6}:{(9,1),(10,1),(16,1),(17,1)}
      14:{1,3,4,6}:{(10,1),(11,1),(17,1),(18,1)}
      15:{1,2,4,5}:{(11,1),(18,1),(19,1)}
      16:{2,4,5,6}:{(12,1),(13,1),(20,1)}
      17:{1,3,5,6}:{(13,1),(14,1),(20,1),(21,1)}
      18:{1,2,4,6}:{(14,1),(15,1),(21,1),(22,1)}
      19:{1,2,3,5}:{(15,1),(22,1),(23,1)}
      20:{1,4,5,6}:{(16,1),(17,1)}
      21:{1,2,5,6}:{(17,1),(18,1)}
      22:{1,2,3,6}:{(18,1),(19,1)}
      23:{1,2,3,4}:{(19,1)}

630 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
       2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       3:{1,2,3,6}:{(1,1),(5,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,3,4}:{(10,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1)}
       9:{1,2,5,6}:{(5,1),(13,1)}
      10:{1,2,3,5}:{(6,1),(14,1),(15,1)}
      11:{1,3,4,5}:{(7,1),(14,1),(16,1)}
      12:{2,3,4,6}:{(7,1),(8,1),(16,1),(17,1)}
      13:{1,3,5,6}:{(8,1),(9,1),(17,1),(18,1)}
      14:{1,2,4,5}:{(10,1),(11,1),(19,1)}
      15:{1,2,3,6}:{(10,1),(19,1)}
      16:{1,3,4,6}:{(11,1),(12,1),(19,1),(20,1)}
      17:{2,3,5,6}:{(12,1),(13,1),(20,1),(21,1)}
      18:{1,4,5,6}:{(13,1),(21,1)}
      19:{1,2,4,6}:{(14,1),(15,1),(16,1),(22,1)}
      20:{1,3,5,6}:{(16,1),(17,1),(22,1),(23,1)}
      21:{2,4,5,6}:{(17,1),(18,1),(23,1),(24,1)}
      22:{1,2,5,6}:{(19,1),(20,1)}
      23:{1,4,5,6}:{(20,1),(21,1)}
      24:{3,4,5,6}:{(21,1)}

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

632 :  0:{1,2,3,5,6}:{(1,1),(5,1),(17,1),(26,1),(66,1),(67,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(23,1),(36,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1),(47,1),(67,1)}
       3:{1,2,4,5}:{(1,1),(5,1),(13,1)}
       4:{2,3,4,6}:{(2,1),(9,1),(10,1),(23,1),(38,1),(62,1)}
       5:{1,3,5}:{(2,1),(3,1),(10,1)}
       6:{1,2,4,5,6}:{(3,1),(11,1),(23,1),(43,1),(59,1),(61,1)}
       7:{1,3,4,5}:{(5,1),(13,1),(14,1)}
       8:{1,2,3,6}:{(12,1),(15,1),(55,1)}
       9:{1,3,4,6}:{(4,1),(15,1),(16,1),(31,1),(33,1),(55,1)}
      10:{2,3,5}:{(4,1),(5,1),(13,1),(16,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(14,1),(17,1),(67,1)}
      12:{1,2,3,5}:{(8,1),(21,1),(24,1),(44,1)}
      13:{2,4,5}:{(7,1),(10,1),(22,1),(23,1)}
      14:{1,3,4,6}:{(7,1),(11,1),(23,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(21,1),(24,1)}
      16:{1,3,5}:{(9,1),(10,1),(22,1),(24,1)}
      17:{2,3,5,6}:{(10,1),(11,1),(23,1),(25,1),(61,1),(62,1)}
      18:{2,3,4,5}:{(13,1),(27,1),(28,1),(51,1),(68,1)}
      19:{1,2,3,5,6}:{(12,1),(29,1),(34,1),(53,1),(55,1),(69,1)}
      20:{1,3,4,5,6}:{(14,1),(30,1),(50,1),(70,1)}
      21:{1,2,4}:{(12,1),(31,1)}
      22:{1,4,5}:{(13,1),(16,1),(33,1)}
      23:{2,4,6}:{(13,1),(14,1),(17,1),(33,1)}
      24:{1,2,5}:{(15,1),(16,1)}
      25:{1,3,5,6}:{(16,1),(17,1),(33,1),(34,1),(55,1)}
      26:{1,2,3,5}:{(35,1),(36,1),(57,1),(58,1)}
      27:{1,3,4,5}:{(18,1),(22,1),(39,1),(40,1),(44,1),(58,1),(71,1)}
      28:{2,3,4,6}:{(18,1),(23,1),(37,1),(40,1),(62,1),(73,1)}
      29:{1,2,4,6}:{(19,1),(21,1),(41,1),(42,1),(73,1)}
      30:{2,4,5,6}:{(20,1),(23,1),(37,1),(43,1),(61,1),(73,1)}
      31:{1,3,4}:{(21,1),(38,1),(44,1)}
      32:{1,2,4,5}:{(21,1),(22,1),(24,1),(39,1),(44,1),(45,1)}
      33:{1,4,6}:{(22,1),(23,1),(25,1)}
      34:{1,2,5,6}:{(24,1),(25,1),(45,1),(61,1)}
      35:{1,2,3,6}:{(26,1),(46,1),(67,1)}
      36:{1,2,4}:{(26,1),(47,1)}
      37:{2,3,5,6}:{(28,1),(30,1),(50,1)}
      38:{2,3,4}:{(31,1),(47,1),(51,1)}
      39:{2,4,5}:{(27,1),(51,1),(52,1)}
      40:{1,3,4,6}:{(27,1),(28,1),(33,1),(50,1),(52,1),(55,1),(67,1),(74,1)}
      41:{1,3,4,6}:{(29,1),(31,1),(49,1),(53,1),(55,1)}
      42:{1,2,4,5}:{(29,1),(53,1),(68,1)}
      43:{1,4,5,6}:{(30,1),(33,1),(50,1),(74,1)}
      44:{1,3,5}:{(31,1),(32,1),(51,1),(55,1)}
      45:{1,2,4,6}:{(32,1),(33,1),(34,1),(52,1),(55,1)}
      46:{1,2,4,6}:{(35,1),(36,1),(56,1),(57,1)}
      47:{1,3,4}:{(36,1),(38,1),(58,1)}
      48:{1,2,4,5}:{(36,1),(39,1),(57,1),(58,1),(59,1),(71,1)}
      49:{2,3,4,6}:{(38,1),(41,1),(56,1),(60,1),(62,1),(73,1)}
      50:{1,3,5,6}:{(37,1),(40,1),(43,1),(61,1)}
      51:{2,3,5}:{(38,1),(39,1),(44,1),(58,1),(62,1)}
      52:{2,4,6}:{(39,1),(40,1),(61,1),(62,1)}
      53:{1,3,5}:{(41,1),(42,1),(60,1)}
      54:{1,2,4,5,6}:{(42,1),(43,1),(45,1),(61,1),(64,1),(73,1)}
      55:{1,3,6}:{(44,1),(45,1),(62,1)}
      56:{1,3,4,6}:{(46,1),(47,1),(49,1),(65,1),(67,1),(74,1)}
      57:{1,2,5}:{(46,1),(65,1)}
      58:{1,3,5}:{(47,1),(48,1),(51,1),(67,1)}
      59:{1,2,4,6}:{(48,1),(52,1),(66,1),(67,1),(74,1)}
      60:{2,3,5}:{(49,1),(53,1),(65,1),(68,1)}
      61:{2,5,6}:{(50,1),(52,1)}
      62:{2,3,6}:{(51,1),(52,1),(55,1),(67,1)}
      63:{1,3,4,5}:{(53,1),(68,1),(70,1)}
      64:{1,3,5,6}:{(53,1),(54,1),(55,1),(69,1),(70,1)}
      65:{1,3,5}:{(56,1),(57,1),(60,1),(71,1)}
      66:{1,2,5,6}:{(57,1),(59,1),(61,1),(72,1)}
      67:{1,3,6}:{(58,1),(59,1),(62,1)}
      68:{2,4,5}:{(60,1),(63,1),(71,1),(73,1)}
      69:{2,3,5,6}:{(60,1),(61,1),(62,1),(64,1),(72,1),(73,1)}
      70:{1,3,4,6}:{(63,1),(64,1),(73,1)}
      71:{1,4,5}:{(65,1),(68,1),(74,1)}
      72:{1,3,5,6}:{(65,1),(66,1),(67,1),(69,1),(74,1)}
      73:{2,4,6}:{(68,1),(69,1),(70,1),(74,1)}
      74:{1,4,6}:{(71,1),(72,1),(73,1)}

633 :  0:{1,3,4,5,6}:{(1,1),(7,1),(18,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(24,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(26,1),(31,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(24,1),(32,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(20,1),(36,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1)}
       8:{1,2,4,5,6}:{(4,1),(11,1),(12,1),(19,1),(24,1),(36,1),(39,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(14,1),(27,1),(30,1)}
      10:{2,4,5}:{(6,1),(14,1),(15,1)}
      11:{2,5,6}:{(7,1),(14,1)}
      12:{1,3,5,6}:{(8,1),(17,1),(18,1),(27,1),(38,1)}
      13:{1,2,4,5}:{(10,1),(19,1),(20,1),(33,1),(36,1),(39,1)}
      14:{2,4,6}:{(9,1),(10,1),(11,1),(21,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(39,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(21,1),(23,1),(24,1),(32,1),(35,1),(39,1)}
      18:{1,3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(27,1),(30,1),(37,1)}
      20:{1,3,5}:{(13,1),(15,1),(26,1),(27,1),(28,1)}
      21:{2,3,6}:{(14,1),(15,1),(27,1)}
      22:{2,3,4}:{(15,1),(28,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(27,1),(30,1),(38,1)}
      24:{2,4,6}:{(17,1),(18,1),(30,1),(31,1)}
      25:{1,3,4,5}:{(18,1),(31,1),(38,1)}
      26:{2,3,5}:{(20,1),(32,1),(33,1),(39,1)}
      27:{1,3,6}:{(19,1),(20,1),(21,1),(32,1)}
      28:{1,3,4}:{(20,1),(22,1),(33,1)}
      29:{2,3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      30:{1,4,6}:{(23,1),(24,1),(36,1)}
      31:{2,4,5}:{(24,1),(25,1),(35,1),(36,1),(39,1)}
      32:{2,3,6}:{(26,1),(27,1),(37,1)}
      33:{2,4}:{(26,1),(28,1)}
      34:{1,3,4,6}:{(27,1),(28,1),(29,1),(30,1),(37,1),(38,1)}
      35:{2,3,5}:{(29,1),(31,1),(38,1)}
      36:{1,4,5}:{(30,1),(31,1),(38,1)}
      37:{2,4,6}:{(32,1),(33,1),(34,1),(39,1)}
      38:{1,3,5}:{(34,1),(35,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

634 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(53,1)}
       1:{2,3,4,6}:{(0,1),(6,1),(7,1),(29,1),(47,1)}
       2:{1,3,4,5}:{(0,1),(7,1),(8,1),(10,1),(24,1),(49,1),(54,1),(55,1)}
       3:{1,2,4,5}:{(8,1),(9,1),(10,1),(12,1),(33,1),(49,1)}
       4:{1,2,3,5}:{(10,1),(11,1),(12,1),(33,1)}
       5:{3,4,5,6}:{(15,1),(52,1)}
       6:{2,3,5,6}:{(1,1),(15,1),(16,1)}
       7:{1,3,4,6}:{(1,1),(2,1),(16,1),(17,1),(20,1),(35,1),(41,1),(50,1),(52,1)}
       8:{2,4,5}:{(2,1),(17,1),(18,1)}
       9:{1,2,4,6}:{(3,1),(17,1),(19,1),(20,1),(41,1)}
      10:{1,3,5}:{(3,1),(18,1),(20,1),(21,1)}
      11:{1,2,3,6}:{(4,1),(20,1),(22,1)}
      12:{1,2,4}:{(4,1),(21,1)}
      13:{1,2,4,5}:{(8,1),(23,1),(24,1),(26,1),(45,1),(54,1)}
      14:{1,2,3,5}:{(24,1),(25,1),(26,1),(45,1)}
      15:{2,4,5,6}:{(5,1),(6,1),(27,1),(47,1)}
      16:{1,3,5,6}:{(6,1),(7,1),(27,1),(28,1),(46,1)}
      17:{2,4,6}:{(7,1),(8,1),(28,1),(29,1)}
      18:{2,3,5}:{(8,1),(10,1),(24,1),(29,1),(30,1)}
      19:{1,2,5,6}:{(9,1),(28,1),(31,1),(33,1)}
      20:{1,3,6}:{(9,1),(10,1),(29,1)}
      21:{1,3,4}:{(10,1),(12,1),(30,1)}
      22:{1,2,4,6}:{(11,1),(12,1),(32,1),(33,1)}
      23:{1,2,4,6}:{(13,1),(17,1),(34,1),(35,1),(50,1)}
      24:{1,3,5}:{(13,1),(18,1),(35,1),(36,1)}
      25:{1,2,3,6}:{(14,1),(35,1),(37,1)}
      26:{1,2,4}:{(14,1),(36,1)}
      27:{1,4,5,6}:{(15,1),(16,1),(38,1),(41,1),(50,1)}
      28:{2,5,6}:{(16,1),(17,1)}
      29:{2,3,6}:{(17,1),(18,1),(20,1),(35,1)}
      30:{2,3,4}:{(18,1),(21,1),(36,1)}
      31:{1,3,5,6}:{(19,1),(20,1),(39,1),(41,1),(42,1)}
      32:{1,3,4,6}:{(20,1),(21,1),(22,1),(40,1),(41,1),(42,1)}
      33:{1,2,5}:{(22,1),(42,1)}
      34:{1,2,5,6}:{(23,1),(28,1),(43,1),(45,1)}
      35:{1,3,6}:{(23,1),(24,1),(29,1)}
      36:{1,3,4}:{(24,1),(26,1),(30,1)}
      37:{1,2,4,6}:{(25,1),(26,1),(44,1),(45,1)}
      38:{2,4,5,6}:{(27,1),(28,1),(46,1),(47,1)}
      39:{2,3,5,6}:{(28,1),(29,1),(31,1),(43,1),(46,1),(47,1),(48,1)}
      40:{2,3,4,6}:{(29,1),(30,1),(32,1),(44,1),(47,1),(48,1)}
      41:{1,4,6}:{(31,1),(47,1),(49,1)}
      42:{1,3,5}:{(32,1),(33,1),(48,1),(49,1)}
      43:{1,3,5,6}:{(34,1),(35,1),(39,1),(50,1),(51,1)}
      44:{1,3,4,6}:{(35,1),(36,1),(37,1),(40,1),(50,1),(51,1)}
      45:{1,2,5}:{(37,1),(51,1)}
      46:{3,5,6}:{(38,1),(52,1)}
      47:{2,4,6}:{(39,1),(41,1),(50,1),(52,1),(53,1)}
      48:{2,3,5}:{(40,1),(42,1),(51,1),(53,1)}
      49:{1,4,5}:{(41,1),(42,1),(53,1)}
      50:{1,4,6}:{(43,1),(47,1),(54,1)}
      51:{1,3,5}:{(44,1),(45,1),(48,1),(54,1)}
      52:{3,4,6}:{(46,1),(47,1),(55,1)}
      53:{2,4,5}:{(47,1),(48,1),(49,1),(54,1),(55,1)}
      54:{1,4,5}:{(50,1),(51,1),(53,1)}
      55:{3,4,5}:{(52,1),(53,1)}

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

636 :  0:{2,3,4,5,6}:{(1,1),(7,1),(25,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(28,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(31,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(11,1),(19,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(27,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
       6:{2,3,4,6}:{(4,1),(8,1),(9,1)}
       7:{2,3,5,6}:{(5,1),(11,1),(20,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(11,1),(12,1)}
       9:{2,3,4,5}:{(6,1),(12,1),(27,1)}
      10:{1,2,3,5,6}:{(7,1),(14,1),(23,1),(32,1)}
      11:{2,4,6}:{(7,1),(8,1),(16,1)}
      12:{1,3,4,5}:{(8,1),(9,1),(16,1),(23,1)}
      13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
      15:{2,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(20,1)}
      17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
      18:{1,3,4,6}:{(14,1),(15,1),(22,1),(23,1)}
      19:{1,2,4,5}:{(14,1),(16,1),(23,1),(31,1)}
      20:{2,3,5}:{(15,1),(16,1),(23,1)}
      21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
      22:{2,3,4,6}:{(18,1),(27,1),(34,1)}
      23:{1,3,5}:{(18,1),(19,1),(20,1),(27,1)}
      24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
      25:{2,3,4,5}:{(20,1),(28,1),(30,1)}
      26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
      27:{2,3,5}:{(22,1),(23,1),(31,1)}
      28:{1,3,4,5}:{(23,1),(25,1),(31,1),(33,1)}
      29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
      30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
      31:{2,4,5}:{(27,1),(28,1),(34,1)}
      32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,6}:{(31,1),(32,1),(33,1)}

637 :  0:{1,3,4,5,6}:{(1,1),(7,1),(18,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(24,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(28,1),(31,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(24,1),(32,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(21,1),(36,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1)}
       8:{1,2,4,5,6}:{(4,1),(11,1),(12,1),(19,1),(24,1),(36,1),(39,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(13,1),(26,1),(30,1)}
      10:{2,4,5}:{(6,1),(13,1),(15,1)}
      11:{2,5,6}:{(7,1),(13,1)}
      12:{1,3,5,6}:{(8,1),(17,1),(18,1),(26,1),(38,1)}
      13:{2,4,6}:{(9,1),(10,1),(11,1),(20,1)}
      14:{1,2,4,5}:{(10,1),(19,1),(21,1),(35,1),(36,1),(39,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(39,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(20,1),(23,1),(24,1),(32,1),(34,1),(39,1)}
      18:{1,3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(26,1),(30,1),(37,1)}
      20:{2,3,6}:{(13,1),(15,1),(26,1)}
      21:{1,3,5}:{(14,1),(15,1),(26,1),(28,1),(29,1)}
      22:{2,3,4}:{(15,1),(29,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(26,1),(30,1),(38,1)}
      24:{2,4,6}:{(17,1),(18,1),(30,1),(31,1)}
      25:{1,3,4,5}:{(18,1),(31,1),(38,1)}
      26:{1,3,6}:{(19,1),(20,1),(21,1),(32,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(24,1),(33,1),(34,1)}
      28:{2,3,5}:{(21,1),(32,1),(35,1),(39,1)}
      29:{1,3,4}:{(21,1),(22,1),(35,1)}
      30:{1,4,6}:{(23,1),(24,1),(36,1)}
      31:{2,4,5}:{(24,1),(25,1),(34,1),(36,1),(39,1)}
      32:{2,3,6}:{(26,1),(28,1),(37,1)}
      33:{1,3,4,6}:{(26,1),(27,1),(29,1),(30,1),(37,1),(38,1)}
      34:{2,3,5}:{(27,1),(31,1),(38,1)}
      35:{2,4}:{(28,1),(29,1)}
      36:{1,4,5}:{(30,1),(31,1),(38,1)}
      37:{2,4,6}:{(32,1),(33,1),(35,1),(39,1)}
      38:{1,3,5}:{(33,1),(34,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

638 :  0:{1,2,3,5,6}:{(1,1),(6,1),(18,1),(39,1),(40,1),(55,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(26,1),(49,1)}
       2:{1,2,4,5}:{(1,1),(6,1),(17,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(55,1),(56,1)}
       4:{1,3,4,5,6}:{(8,1),(16,1),(23,1)}
       5:{1,2,4,5,6}:{(2,1),(10,1),(15,1),(26,1),(33,1),(46,1),(47,1),(57,1)}
       6:{1,3,5}:{(2,1),(3,1),(11,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(26,1),(50,1),(51,1),(58,1),(59,1)}
       8:{2,4,5,6}:{(4,1),(14,1),(15,1),(26,1),(33,1)}
       9:{1,3,4,5}:{(6,1),(16,1),(17,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(16,1),(18,1),(55,1)}
      11:{2,3,5}:{(6,1),(7,1),(17,1),(19,1)}
      12:{1,3,4,6}:{(7,1),(19,1),(20,1),(37,1),(55,1),(56,1)}
      13:{2,3,4,5}:{(17,1),(21,1),(22,1),(54,1)}
      14:{2,3,5,6}:{(8,1),(21,1),(23,1)}
      15:{1,4,5,6}:{(8,1),(23,1),(37,1)}
      16:{1,3,4,6}:{(9,1),(10,1),(26,1)}
      17:{2,4,5}:{(9,1),(11,1),(26,1),(27,1)}
      18:{2,3,5,6}:{(10,1),(11,1),(26,1),(28,1),(33,1),(50,1),(57,1),(58,1)}
      19:{1,3,5}:{(11,1),(12,1),(27,1),(29,1)}
      20:{1,2,4,6}:{(12,1),(29,1),(30,1),(49,1)}
      21:{2,3,4,6}:{(13,1),(14,1),(26,1),(31,1),(58,1)}
      22:{1,3,4,5}:{(13,1),(27,1),(31,1),(32,1),(48,1)}
      23:{1,3,5,6}:{(14,1),(15,1),(31,1),(33,1)}
      24:{2,3,4,5}:{(17,1),(34,1),(35,1),(42,1)}
      25:{1,3,4,5,6}:{(16,1),(36,1),(52,1)}
      26:{2,4,6}:{(16,1),(17,1),(18,1),(37,1)}
      27:{1,4,5}:{(17,1),(19,1),(37,1)}
      28:{1,3,5,6}:{(18,1),(19,1),(37,1),(39,1),(55,1)}
      29:{1,2,5}:{(19,1),(20,1)}
      30:{1,2,3,6}:{(20,1),(40,1),(55,1)}
      31:{1,3,4,6}:{(21,1),(22,1),(23,1),(37,1),(41,1),(55,1)}
      32:{2,4,5}:{(22,1),(41,1),(42,1)}
      33:{2,5,6}:{(23,1),(41,1)}
      34:{2,3,4,6}:{(24,1),(26,1),(43,1),(44,1),(50,1)}
      35:{1,3,4,5}:{(24,1),(27,1),(44,1),(45,1),(48,1)}
      36:{2,4,5,6}:{(25,1),(26,1),(43,1),(46,1),(57,1)}
      37:{1,4,6}:{(26,1),(27,1),(28,1)}
      38:{1,2,4,5}:{(27,1),(29,1),(32,1),(45,1),(47,1),(48,1),(49,1)}
      39:{1,2,5,6}:{(28,1),(29,1),(33,1),(47,1),(57,1)}
      40:{1,2,3,5}:{(29,1),(30,1),(48,1),(49,1)}
      41:{2,4,6}:{(31,1),(32,1),(33,1),(50,1)}
      42:{2,3,5}:{(32,1),(48,1),(50,1),(51,1)}
      43:{2,3,5,6}:{(34,1),(36,1),(52,1)}
      44:{1,3,4,6}:{(34,1),(35,1),(37,1),(52,1),(53,1),(55,1)}
      45:{2,4,5}:{(35,1),(53,1),(54,1)}
      46:{1,4,5,6}:{(36,1),(37,1),(52,1)}
      47:{1,2,4,6}:{(37,1),(38,1),(39,1),(41,1),(53,1),(55,1)}
      48:{1,3,5}:{(38,1),(42,1),(54,1),(55,1),(56,1)}
      49:{1,2,4}:{(40,1),(56,1)}
      50:{2,3,6}:{(41,1),(42,1),(55,1)}
      51:{2,3,4}:{(42,1),(56,1)}
      52:{1,3,5,6}:{(43,1),(44,1),(46,1),(57,1)}
      53:{2,4,6}:{(44,1),(45,1),(57,1),(58,1)}
      54:{2,3,5}:{(45,1),(48,1),(58,1),(59,1)}
      55:{1,3,6}:{(47,1),(48,1),(50,1),(58,1)}
      56:{1,3,4}:{(48,1),(49,1),(51,1),(59,1)}
      57:{2,5,6}:{(52,1),(53,1)}
      58:{2,3,6}:{(53,1),(54,1),(55,1)}
      59:{2,3,4}:{(54,1),(56,1)}

639 :  0:{3,4,5,6}:{(2,1),(61,1)}
       1:{2,3,4,5}:{(4,1),(5,1),(38,1),(51,1)}
       2:{2,4,5,6}:{(0,1),(7,1),(8,1),(58,1)}
       3:{1,2,3,5}:{(6,1),(9,1),(22,1),(28,1)}
       4:{1,3,4,5}:{(1,1),(11,1),(12,1),(25,1),(28,1),(43,1)}
       5:{2,3,4,6}:{(1,1),(7,1),(12,1),(48,1),(58,1)}
       6:{1,2,3,6}:{(3,1),(13,1),(40,1)}
       7:{2,3,5,6}:{(2,1),(5,1),(15,1)}
       8:{1,4,5,6}:{(2,1),(15,1),(16,1),(53,1)}
       9:{1,2,4}:{(3,1),(17,1)}
      10:{2,3,4}:{(17,1),(19,1)}
      11:{2,4,5}:{(4,1),(19,1),(20,1)}
      12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(37,1),(40,1),(53,1)}
      13:{1,2,4,6}:{(6,1),(9,1),(21,1),(22,1)}
      14:{2,3,4,6}:{(10,1),(21,1),(23,1),(31,1),(45,1)}
      15:{1,3,5,6}:{(7,1),(8,1),(12,1),(24,1),(26,1)}
      16:{2,4,5,6}:{(8,1),(24,1),(26,1),(45,1)}
      17:{1,3,4}:{(9,1),(10,1),(27,1),(28,1)}
      18:{1,2,4,5}:{(9,1),(11,1),(22,1),(28,1),(29,1),(43,1),(47,1)}
      19:{2,3,5}:{(10,1),(11,1),(28,1),(31,1)}
      20:{2,4,6}:{(11,1),(12,1),(24,1),(31,1)}
      21:{1,3,4,6}:{(13,1),(14,1),(17,1),(32,1),(33,1),(40,1),(53,1)}
      22:{1,2,5}:{(13,1),(33,1)}
      23:{2,3,5}:{(14,1),(33,1),(35,1)}
      24:{2,5,6}:{(15,1),(20,1)}
      25:{3,4,5}:{(35,1),(37,1)}
      26:{3,5,6}:{(16,1),(37,1)}
      27:{2,3,4}:{(17,1),(38,1)}
      28:{1,3,5}:{(17,1),(18,1),(19,1),(38,1),(40,1)}
      29:{1,2,4,6}:{(18,1),(20,1),(34,1),(40,1),(53,1),(55,1)}
      30:{2,3,4,5}:{(19,1),(35,1),(39,1),(41,1)}
      31:{2,3,6}:{(19,1),(20,1),(40,1)}
      32:{2,3,4,6}:{(21,1),(27,1),(42,1),(48,1),(58,1)}
      33:{1,3,5}:{(21,1),(22,1),(23,1),(42,1),(43,1)}
      34:{1,2,5,6}:{(22,1),(24,1),(29,1),(44,1),(60,1)}
      35:{2,4,5}:{(23,1),(25,1),(43,1),(45,1)}
      36:{2,3,5,6}:{(23,1),(24,1),(26,1),(31,1),(44,1),(45,1)}
      37:{3,4,6}:{(25,1),(26,1),(45,1)}
      38:{2,3,5}:{(27,1),(28,1),(47,1),(48,1)}
      39:{1,3,4,5}:{(28,1),(30,1),(43,1),(47,1),(49,1),(57,1)}
      40:{1,3,6}:{(28,1),(29,1),(31,1),(48,1)}
      41:{2,3,4,6}:{(30,1),(31,1),(45,1),(49,1),(50,1)}
      42:{2,3,5}:{(32,1),(33,1),(51,1)}
      43:{1,4,5}:{(33,1),(35,1),(51,1),(53,1)}
      44:{1,3,5,6}:{(33,1),(34,1),(36,1),(40,1),(52,1),(53,1)}
      45:{2,4,6}:{(35,1),(36,1),(37,1),(53,1)}
      46:{3,4,5,6}:{(37,1),(54,1)}
      47:{2,4,5}:{(38,1),(39,1),(55,1)}
      48:{2,3,6}:{(38,1),(40,1),(55,1)}
      49:{1,3,4,6}:{(39,1),(40,1),(41,1),(53,1),(55,1),(56,1),(61,1)}
      50:{2,3,5,6}:{(41,1),(54,1),(56,1)}
      51:{2,4,5}:{(42,1),(43,1),(57,1),(58,1)}
      52:{2,3,5,6}:{(42,1),(44,1),(48,1),(58,1),(60,1),(63,1)}
      53:{1,4,6}:{(43,1),(44,1),(45,1),(58,1)}
      54:{2,4,5,6}:{(45,1),(46,1),(50,1),(59,1)}
      55:{2,4,6}:{(47,1),(48,1),(49,1),(60,1)}
      56:{1,3,5,6}:{(49,1),(50,1),(59,1),(60,1),(63,1)}
      57:{3,4,5}:{(51,1),(61,1)}
      58:{2,4,6}:{(51,1),(52,1),(53,1),(61,1)}
      59:{1,4,5,6}:{(53,1),(54,1),(56,1),(62,1)}
      60:{2,5,6}:{(55,1),(56,1)}
      61:{3,4,6}:{(57,1),(58,1),(63,1)}
      62:{2,4,5,6}:{(58,1),(59,1),(60,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

640 :  0:{1,2,3,5}:{(2,1),(3,1),(17,1),(18,1)}
       1:{2,3,4,5}:{(5,1),(6,1),(24,1),(45,1)}
       2:{1,2,3,6}:{(0,1),(8,1),(29,1)}
       3:{1,2,4}:{(0,1),(7,1)}
       4:{1,2,3,5}:{(10,1),(11,1),(32,1),(33,1)}
       5:{1,3,4,5}:{(1,1),(13,1),(14,1),(17,1),(32,1),(40,1),(49,1),(51,1)}
       6:{2,3,4,6}:{(1,1),(14,1),(15,1),(36,1),(52,1)}
       7:{1,3,4}:{(3,1),(12,1),(17,1)}
       8:{1,2,4,6}:{(2,1),(3,1),(16,1),(18,1)}
       9:{1,2,4,5}:{(3,1),(13,1),(17,1),(18,1),(19,1),(40,1)}
      10:{1,2,3,6}:{(4,1),(21,1),(43,1)}
      11:{1,2,4}:{(4,1),(20,1)}
      12:{2,3,4}:{(7,1),(20,1),(24,1)}
      13:{2,4,5}:{(5,1),(24,1),(25,1)}
      14:{1,3,4,6}:{(5,1),(6,1),(25,1),(26,1),(29,1),(43,1),(48,1),(54,1),(55,1)}
      15:{2,3,5,6}:{(6,1),(26,1),(27,1)}
      16:{1,3,4,6}:{(7,1),(8,1),(23,1),(28,1),(29,1),(48,1)}
      17:{1,3,5}:{(7,1),(9,1),(24,1),(29,1)}
      18:{1,2,5}:{(8,1),(28,1)}
      19:{1,2,4,6}:{(9,1),(25,1),(29,1),(30,1),(48,1)}
      20:{1,3,4}:{(11,1),(12,1),(32,1)}
      21:{1,2,4,6}:{(10,1),(11,1),(31,1),(33,1)}
      22:{1,2,4,5}:{(11,1),(13,1),(32,1),(33,1),(34,1),(49,1)}
      23:{2,3,4,6}:{(12,1),(16,1),(31,1),(35,1),(36,1),(52,1)}
      24:{2,3,5}:{(12,1),(13,1),(17,1),(32,1),(36,1)}
      25:{2,4,6}:{(13,1),(14,1),(36,1),(37,1)}
      26:{1,3,5,6}:{(14,1),(15,1),(37,1),(38,1),(53,1)}
      27:{2,4,5,6}:{(15,1),(38,1),(39,1),(52,1)}
      28:{1,3,5}:{(16,1),(18,1),(35,1),(40,1)}
      29:{1,3,6}:{(17,1),(19,1),(36,1)}
      30:{1,2,5,6}:{(18,1),(19,1),(37,1),(41,1)}
      31:{1,3,4,6}:{(20,1),(21,1),(23,1),(42,1),(43,1),(54,1)}
      32:{1,3,5}:{(20,1),(22,1),(24,1),(43,1)}
      33:{1,2,5}:{(21,1),(42,1)}
      34:{1,2,4,6}:{(22,1),(25,1),(43,1),(44,1),(54,1)}
      35:{2,3,5}:{(23,1),(28,1),(42,1),(45,1)}
      36:{2,3,6}:{(24,1),(25,1),(29,1),(43,1)}
      37:{2,5,6}:{(25,1),(26,1)}
      38:{1,4,5,6}:{(26,1),(27,1),(47,1),(48,1),(54,1)}
      39:{3,4,5,6}:{(27,1),(55,1)}
      40:{1,4,5}:{(28,1),(45,1),(48,1)}
      41:{1,3,5,6}:{(28,1),(29,1),(30,1),(46,1),(48,1)}
      42:{1,3,5}:{(31,1),(33,1),(35,1),(49,1)}
      43:{1,3,6}:{(32,1),(34,1),(36,1)}
      44:{1,2,5,6}:{(33,1),(34,1),(37,1),(50,1)}
      45:{2,4,5}:{(35,1),(40,1),(49,1),(51,1),(52,1)}
      46:{2,3,5,6}:{(35,1),(36,1),(37,1),(41,1),(50,1),(52,1),(53,1)}
      47:{2,4,5,6}:{(37,1),(38,1),(52,1),(53,1)}
      48:{1,4,6}:{(40,1),(41,1),(52,1)}
      49:{1,4,5}:{(42,1),(45,1),(54,1)}
      50:{1,3,5,6}:{(42,1),(43,1),(44,1),(46,1),(54,1)}
      51:{3,4,5}:{(45,1),(55,1)}
      52:{2,4,6}:{(45,1),(46,1),(48,1),(54,1),(55,1)}
      53:{3,5,6}:{(47,1),(55,1)}
      54:{1,4,6}:{(49,1),(50,1),(52,1)}
      55:{3,4,6}:{(51,1),(52,1),(53,1)}

641 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
       2:{1,2,3,4}:{(5,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
       4:{1,2,3,6}:{(1,1),(7,1)}
       5:{1,2,3,5}:{(2,1),(8,1),(9,1)}
       6:{1,3,4,5}:{(3,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,2,4,5}:{(5,1),(13,1),(14,1)}
       9:{1,2,3,6}:{(5,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(13,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(7,1),(15,1),(16,1)}
      12:{1,2,5,6}:{(7,1),(16,1)}
      13:{1,3,4,5}:{(8,1),(10,1),(17,1)}
      14:{1,2,4,6}:{(8,1),(9,1),(17,1),(18,1)}
      15:{2,3,4,6}:{(10,1),(11,1),(17,1),(19,1)}
      16:{1,3,5,6}:{(11,1),(12,1),(19,1),(20,1)}
      17:{1,3,4,6}:{(13,1),(14,1),(15,1),(21,1)}
      18:{1,2,5,6}:{(14,1),(21,1)}
      19:{2,3,5,6}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,4,5,6}:{(16,1),(22,1)}
      21:{1,3,5,6}:{(17,1),(18,1),(19,1),(23,1)}
      22:{2,4,5,6}:{(19,1),(20,1),(23,1),(24,1)}
      23:{1,4,5,6}:{(21,1),(22,1)}
      24:{3,4,5,6}:{(22,1)}

642 :  0:{1,3,4,5,6}:{(1,1),(5,1),(15,1)}
       1:{2,4,5,6}:{(0,1),(2,1),(3,1),(9,1),(20,1)}
       2:{2,3,5,6}:{(1,1),(4,1),(5,1)}
       3:{1,4,5,6}:{(1,1),(5,1),(26,1)}
       4:{2,3,4,6}:{(2,1),(7,1),(8,1),(20,1),(30,1)}
       5:{1,3,5,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,4,5,6}:{(3,1),(9,1),(10,1),(17,1),(20,1),(33,1),(39,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(27,1),(34,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(11,1),(12,1),(24,1),(26,1)}
       9:{2,5,6}:{(5,1),(12,1)}
      10:{1,3,5,6}:{(6,1),(14,1),(15,1),(24,1),(37,1)}
      11:{1,3,4,5}:{(7,1),(8,1),(16,1),(28,1),(33,1)}
      12:{2,4,6}:{(8,1),(9,1),(16,1),(18,1)}
      13:{1,2,5,6}:{(9,1),(17,1),(19,1),(39,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(18,1),(19,1),(20,1),(30,1),(32,1),(39,1)}
      15:{1,3,4,6}:{(10,1),(20,1),(21,1)}
      16:{2,4,5}:{(11,1),(12,1),(23,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(22,1),(24,1),(26,1),(36,1)}
      18:{2,3,6}:{(12,1),(23,1),(24,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(24,1),(26,1),(37,1)}
      20:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      21:{1,3,4,5}:{(15,1),(27,1),(37,1)}
      22:{1,2,4,5}:{(16,1),(17,1),(28,1),(33,1),(38,1),(39,1)}
      23:{2,3,5}:{(16,1),(18,1),(28,1),(29,1)}
      24:{1,3,6}:{(17,1),(18,1),(28,1),(30,1)}
      25:{2,3,4,6}:{(18,1),(20,1),(29,1),(31,1),(32,1)}
      26:{1,4,6}:{(19,1),(20,1),(33,1)}
      27:{2,4,5}:{(20,1),(21,1),(32,1),(33,1),(39,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(34,1),(35,1)}
      29:{2,3,4}:{(23,1),(35,1)}
      30:{2,3,6}:{(24,1),(34,1),(36,1)}
      31:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(36,1),(37,1)}
      32:{2,3,5}:{(25,1),(27,1),(37,1)}
      33:{1,4,5}:{(26,1),(27,1),(37,1)}
      34:{2,3,5}:{(28,1),(30,1),(38,1),(39,1)}
      35:{1,3,4}:{(28,1),(29,1),(38,1)}
      36:{2,4,6}:{(30,1),(31,1),(38,1),(39,1)}
      37:{1,3,5}:{(31,1),(32,1),(33,1),(39,1)}
      38:{2,4}:{(34,1),(35,1)}
      39:{2,5}:{(36,1),(37,1)}

643 :  0:{2,3,4,5}:{(2,1),(3,1),(30,1),(49,1)}
       1:{1,2,3,5}:{(4,1),(5,1),(21,1),(22,1)}
       2:{1,3,4,5}:{(0,1),(9,1),(10,1),(22,1),(42,1),(45,1)}
       3:{2,3,4,6}:{(0,1),(7,1),(10,1),(41,1),(57,1)}
       4:{1,2,3,6}:{(1,1),(11,1),(34,1)}
       5:{1,2,4}:{(1,1),(12,1)}
       6:{3,4,5,6}:{(14,1),(61,1)}
       7:{2,3,5,6}:{(3,1),(14,1),(16,1)}
       8:{2,3,4}:{(12,1),(17,1)}
       9:{2,4,5}:{(2,1),(17,1),(18,1)}
      10:{1,3,4,6}:{(2,1),(3,1),(16,1),(18,1),(34,1),(52,1),(54,1)}
      11:{1,2,4,6}:{(4,1),(5,1),(20,1),(21,1)}
      12:{1,3,4}:{(5,1),(8,1),(19,1),(22,1)}
      13:{1,2,4,5}:{(5,1),(9,1),(21,1),(22,1),(23,1),(40,1),(42,1)}
      14:{2,4,5,6}:{(6,1),(7,1),(24,1),(57,1)}
      15:{2,3,4,6}:{(8,1),(20,1),(25,1),(28,1),(47,1)}
      16:{1,3,5,6}:{(7,1),(10,1),(24,1),(26,1),(46,1)}
      17:{2,3,5}:{(8,1),(9,1),(22,1),(28,1)}
      18:{2,4,6}:{(9,1),(10,1),(26,1),(28,1)}
      19:{2,3,4}:{(12,1),(30,1)}
      20:{1,3,4,6}:{(11,1),(12,1),(15,1),(29,1),(31,1),(34,1),(52,1)}
      21:{1,2,5}:{(11,1),(31,1)}
      22:{1,3,5}:{(12,1),(13,1),(17,1),(30,1),(34,1)}
      23:{1,2,4,6}:{(13,1),(18,1),(32,1),(34,1),(51,1),(52,1)}
      24:{1,4,5,6}:{(14,1),(16,1),(35,1),(52,1)}
      25:{2,3,5}:{(15,1),(31,1),(36,1)}
      26:{2,5,6}:{(16,1),(18,1)}
      27:{2,3,4,5}:{(17,1),(33,1),(36,1),(38,1)}
      28:{2,3,6}:{(17,1),(18,1),(34,1)}
      29:{2,3,4,6}:{(19,1),(20,1),(39,1),(41,1),(57,1)}
      30:{2,3,5}:{(19,1),(22,1),(40,1),(41,1)}
      31:{1,3,5}:{(20,1),(21,1),(25,1),(39,1),(42,1)}
      32:{1,2,5,6}:{(21,1),(23,1),(26,1),(43,1),(58,1)}
      33:{1,3,4,5}:{(22,1),(27,1),(40,1),(42,1),(44,1),(56,1)}
      34:{1,3,6}:{(22,1),(23,1),(28,1),(41,1)}
      35:{2,4,5,6}:{(24,1),(26,1),(46,1),(47,1)}
      36:{2,4,5}:{(25,1),(42,1),(45,1),(47,1)}
      37:{2,3,5,6}:{(25,1),(26,1),(28,1),(43,1),(46,1),(47,1)}
      38:{2,3,4,6}:{(27,1),(28,1),(44,1),(47,1),(48,1)}
      39:{2,3,5}:{(29,1),(31,1),(49,1)}
      40:{2,4,5}:{(30,1),(33,1),(51,1)}
      41:{2,3,6}:{(30,1),(34,1),(51,1)}
      42:{1,4,5}:{(31,1),(36,1),(49,1),(52,1)}
      43:{1,3,5,6}:{(31,1),(32,1),(34,1),(37,1),(50,1),(52,1)}
      44:{1,3,4,6}:{(33,1),(34,1),(38,1),(51,1),(52,1),(53,1),(61,1)}
      45:{3,4,5}:{(36,1),(54,1)}
      46:{3,5,6}:{(35,1),(54,1)}
      47:{2,4,6}:{(36,1),(37,1),(52,1),(54,1)}
      48:{2,3,5,6}:{(38,1),(53,1),(55,1)}
      49:{2,4,5}:{(39,1),(42,1),(56,1),(57,1)}
      50:{2,3,5,6}:{(39,1),(41,1),(43,1),(57,1),(58,1),(63,1)}
      51:{2,4,6}:{(40,1),(41,1),(44,1),(58,1)}
      52:{1,4,6}:{(42,1),(43,1),(47,1),(57,1)}
      53:{1,3,5,6}:{(44,1),(48,1),(58,1),(59,1),(63,1)}
      54:{3,4,6}:{(45,1),(46,1),(47,1)}
      55:{2,4,5,6}:{(47,1),(48,1),(59,1),(60,1)}
      56:{3,4,5}:{(49,1),(61,1)}
      57:{2,4,6}:{(49,1),(50,1),(52,1),(61,1)}
      58:{2,5,6}:{(51,1),(53,1)}
      59:{1,4,5,6}:{(52,1),(53,1),(55,1),(62,1)}
      60:{3,4,5,6}:{(54,1),(55,1)}
      61:{3,4,6}:{(56,1),(57,1),(63,1)}
      62:{2,4,5,6}:{(57,1),(58,1),(59,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

644 :  0:{3,4,5,6}:{(2,1),(42,1)}
       1:{2,3,4,5}:{(3,1),(4,1),(23,1),(43,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1),(39,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1),(30,1),(39,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1),(17,1),(29,1),(40,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(9,1)}
       6:{1,4,5,6}:{(2,1),(9,1),(10,1),(35,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(9,1),(12,1),(22,1),(24,1),(35,1)}
       8:{2,4,5}:{(4,1),(12,1),(13,1)}
       9:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1),(15,1)}
      10:{2,4,5,6}:{(6,1),(14,1),(15,1),(28,1)}
      11:{1,2,4,5}:{(8,1),(16,1),(17,1),(31,1),(40,1),(41,1)}
      12:{2,4,6}:{(7,1),(8,1),(14,1),(18,1)}
      13:{2,3,5}:{(8,1),(17,1),(18,1),(19,1)}
      14:{2,5,6}:{(9,1),(12,1)}
      15:{3,5,6}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(20,1),(24,1),(35,1),(37,1)}
      17:{1,3,5}:{(11,1),(13,1),(23,1),(24,1),(25,1)}
      18:{2,3,6}:{(12,1),(13,1),(24,1)}
      19:{2,3,4}:{(13,1),(25,1)}
      20:{1,2,5,6}:{(14,1),(16,1),(27,1),(41,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(18,1),(27,1),(28,1),(33,1)}
      22:{3,4,6}:{(15,1),(28,1),(29,1)}
      23:{2,3,5}:{(17,1),(30,1),(31,1),(41,1)}
      24:{1,3,6}:{(16,1),(17,1),(18,1),(30,1)}
      25:{1,3,4}:{(17,1),(19,1),(31,1)}
      26:{2,3,4,6}:{(18,1),(19,1),(28,1),(32,1),(33,1)}
      27:{1,3,5,6}:{(20,1),(21,1),(24,1),(34,1),(35,1),(38,1)}
      28:{2,4,6}:{(21,1),(22,1),(35,1),(36,1)}
      29:{3,4,5}:{(22,1),(36,1)}
      30:{2,3,6}:{(23,1),(24,1),(37,1)}
      31:{2,4}:{(23,1),(25,1)}
      32:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(37,1),(38,1),(42,1)}
      33:{2,3,5}:{(26,1),(36,1),(38,1)}
      34:{2,3,5,6}:{(27,1),(30,1),(39,1),(41,1),(44,1)}
      35:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      36:{2,4,5}:{(28,1),(29,1),(33,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(32,1),(41,1)}
      38:{1,3,5}:{(32,1),(33,1),(40,1),(41,1),(44,1)}
      39:{2,4,6}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(35,1),(36,1),(38,1),(43,1)}
      41:{2,5}:{(37,1),(38,1)}
      42:{3,4,6}:{(39,1),(44,1)}
      43:{2,4,5}:{(39,1),(40,1),(41,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

645 :  0:{1,2,4,5,6}:{(1,1),(5,1),(13,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(24,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(20,1),(21,1)}
       4:{1,3,4,5}:{(2,1),(8,1),(15,1),(26,1)}
       5:{2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,3,4,6}:{(5,1),(11,1),(12,1),(21,1),(28,1)}
       8:{2,4,5}:{(4,1),(5,1),(11,1),(13,1),(20,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(20,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(9,1),(15,1),(16,1),(18,1),(24,1),(26,1),(29,1)}
      13:{1,4,5}:{(8,1),(9,1),(15,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(20,1)}
      16:{2,4,6}:{(12,1),(20,1),(21,1),(28,1)}
      17:{1,2,4,5}:{(13,1),(14,1),(20,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(21,1),(22,1)}
      19:{1,2,4,6}:{(16,1),(23,1),(24,1),(29,1)}
      20:{2,5}:{(15,1),(16,1)}
      21:{2,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,3,5}:{(17,1),(18,1),(25,1),(26,1)}
      23:{1,2,5}:{(19,1),(20,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{2,3,5}:{(20,1),(21,1),(22,1),(27,1),(28,1)}
      26:{1,3,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{2,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

646 :  0:{1,2,3,5,6}:{(2,1),(10,1),(16,1),(33,1),(35,1),(48,1)}
       1:{1,3,4,5,6}:{(3,1),(15,1),(36,1)}
       2:{1,2,4,6}:{(0,1),(7,1),(8,1),(18,1),(44,1)}
       3:{2,4,5,6}:{(1,1),(6,1),(9,1),(25,1),(44,1)}
       4:{2,3,4,5}:{(11,1),(12,1),(34,1),(46,1)}
       5:{1,2,3,6}:{(10,1),(13,1),(48,1)}
       6:{2,3,5,6}:{(3,1),(12,1),(15,1)}
       7:{1,3,4,6}:{(2,1),(14,1),(16,1),(28,1),(48,1)}
       8:{1,2,4,5}:{(2,1),(16,1),(34,1)}
       9:{1,4,5,6}:{(3,1),(15,1),(50,1)}
      10:{1,2,3,5}:{(5,1),(18,1),(23,1),(38,1)}
      11:{1,3,4,5}:{(4,1),(20,1),(21,1),(38,1),(42,1)}
      12:{2,3,4,6}:{(4,1),(6,1),(21,1),(44,1),(53,1)}
      13:{1,2,4,6}:{(5,1),(18,1),(22,1),(23,1)}
      14:{2,3,4,6}:{(7,1),(19,1),(22,1),(24,1),(37,1),(41,1),(44,1),(53,1)}
      15:{1,3,5,6}:{(6,1),(9,1),(21,1),(25,1)}
      16:{1,3,5}:{(7,1),(8,1),(24,1)}
      17:{1,2,4,5,6}:{(8,1),(9,1),(25,1),(27,1),(39,1),(44,1),(56,1),(59,1)}
      18:{1,2,4}:{(10,1),(28,1)}
      19:{2,3,4}:{(28,1),(30,1)}
      20:{2,4,5}:{(11,1),(30,1),(31,1)}
      21:{1,3,4,6}:{(11,1),(12,1),(15,1),(31,1),(48,1),(50,1)}
      22:{1,3,4,6}:{(13,1),(14,1),(28,1),(32,1),(48,1),(50,1)}
      23:{1,2,5}:{(13,1),(32,1)}
      24:{2,3,5}:{(14,1),(16,1),(32,1),(34,1)}
      25:{2,5,6}:{(15,1),(31,1)}
      26:{1,3,4,5}:{(16,1),(34,1),(36,1)}
      27:{1,3,5,6}:{(16,1),(17,1),(35,1),(36,1),(48,1)}
      28:{1,3,4}:{(18,1),(19,1),(37,1),(38,1)}
      29:{1,2,4,5}:{(18,1),(20,1),(23,1),(38,1),(39,1),(42,1),(52,1)}
      30:{2,3,5}:{(19,1),(20,1),(38,1),(41,1)}
      31:{2,4,6}:{(20,1),(21,1),(25,1),(41,1)}
      32:{1,3,5}:{(22,1),(23,1),(24,1),(42,1)}
      33:{1,2,5,6}:{(23,1),(25,1),(39,1),(43,1),(59,1)}
      34:{2,4,5}:{(24,1),(26,1),(42,1),(44,1)}
      35:{2,3,5,6}:{(24,1),(25,1),(27,1),(41,1),(43,1),(44,1),(53,1),(59,1)}
      36:{1,3,4,6}:{(26,1),(27,1),(44,1)}
      37:{2,3,4}:{(28,1),(46,1)}
      38:{1,3,5}:{(28,1),(29,1),(30,1),(46,1),(48,1)}
      39:{1,2,4,6}:{(29,1),(31,1),(33,1),(48,1),(50,1),(57,1)}
      40:{2,3,4,5}:{(30,1),(34,1),(47,1),(49,1)}
      41:{2,3,6}:{(30,1),(31,1),(48,1)}
      42:{1,4,5}:{(32,1),(34,1),(50,1)}
      43:{1,3,5,6}:{(32,1),(33,1),(35,1),(48,1),(50,1)}
      44:{2,4,6}:{(34,1),(35,1),(36,1),(50,1)}
      45:{1,3,4,5,6}:{(36,1),(51,1),(58,1)}
      46:{2,3,5}:{(37,1),(38,1),(52,1),(53,1)}
      47:{1,3,4,5}:{(38,1),(40,1),(42,1),(52,1),(54,1)}
      48:{1,3,6}:{(38,1),(39,1),(41,1),(53,1)}
      49:{2,3,4,6}:{(40,1),(41,1),(44,1),(54,1),(55,1)}
      50:{1,4,6}:{(42,1),(43,1),(44,1)}
      51:{2,4,5,6}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      52:{2,4,5}:{(46,1),(47,1),(57,1)}
      53:{2,3,6}:{(46,1),(48,1),(57,1)}
      54:{1,3,4,6}:{(47,1),(48,1),(49,1),(50,1),(57,1),(58,1)}
      55:{2,3,5,6}:{(49,1),(51,1),(58,1)}
      56:{1,4,5,6}:{(50,1),(51,1),(58,1)}
      57:{2,4,6}:{(52,1),(53,1),(54,1),(59,1)}
      58:{1,3,5,6}:{(54,1),(55,1),(56,1),(59,1)}
      59:{2,5,6}:{(57,1),(58,1)}

647 :  0:{2,3,4,5}:{(2,1),(3,1),(35,1),(55,1)}
       1:{1,2,3,5}:{(5,1),(6,1),(26,1),(27,1)}
       2:{1,3,4,5}:{(0,1),(8,1),(9,1),(26,1),(50,1),(52,1)}
       3:{2,3,4,6}:{(0,1),(9,1),(10,1),(46,1),(61,1)}
       4:{2,3,4,5}:{(11,1),(12,1),(17,1),(42,1)}
       5:{1,2,3,6}:{(1,1),(14,1),(40,1)}
       6:{1,2,4}:{(1,1),(13,1)}
       7:{2,3,4}:{(13,1),(17,1)}
       8:{2,4,5}:{(2,1),(17,1),(18,1)}
       9:{1,3,4,6}:{(2,1),(3,1),(18,1),(19,1),(40,1),(58,1),(59,1)}
      10:{2,3,5,6}:{(3,1),(19,1),(20,1)}
      11:{1,3,4,5}:{(4,1),(22,1),(23,1),(26,1),(50,1),(60,1)}
      12:{2,3,4,6}:{(4,1),(23,1),(24,1),(30,1),(53,1)}
      13:{1,3,4}:{(6,1),(7,1),(21,1),(26,1)}
      14:{1,2,4,6}:{(5,1),(6,1),(25,1),(27,1)}
      15:{1,2,4,5}:{(6,1),(8,1),(22,1),(26,1),(27,1),(28,1),(50,1)}
      16:{2,3,4,6}:{(7,1),(25,1),(29,1),(30,1),(53,1)}
      17:{2,3,5}:{(7,1),(8,1),(26,1),(30,1)}
      18:{2,4,6}:{(8,1),(9,1),(30,1),(31,1)}
      19:{1,3,5,6}:{(9,1),(10,1),(31,1),(32,1),(54,1)}
      20:{2,4,5,6}:{(10,1),(32,1),(33,1),(61,1)}
      21:{2,3,4}:{(13,1),(35,1)}
      22:{2,4,5}:{(11,1),(35,1),(36,1)}
      23:{1,3,4,6}:{(11,1),(12,1),(36,1),(37,1),(40,1),(58,1),(63,1)}
      24:{2,3,5,6}:{(12,1),(37,1),(38,1)}
      25:{1,3,4,6}:{(13,1),(14,1),(16,1),(34,1),(39,1),(40,1),(58,1)}
      26:{1,3,5}:{(13,1),(15,1),(17,1),(35,1),(40,1)}
      27:{1,2,5}:{(14,1),(39,1)}
      28:{1,2,4,6}:{(15,1),(18,1),(36,1),(40,1),(41,1),(58,1)}
      29:{2,3,5}:{(16,1),(39,1),(42,1)}
      30:{2,3,6}:{(17,1),(18,1),(40,1)}
      31:{2,5,6}:{(18,1),(19,1)}
      32:{1,4,5,6}:{(19,1),(20,1),(44,1),(58,1)}
      33:{3,4,5,6}:{(20,1),(63,1)}
      34:{2,3,4,6}:{(21,1),(25,1),(45,1),(46,1),(61,1)}
      35:{2,3,5}:{(21,1),(22,1),(26,1),(46,1)}
      36:{2,4,6}:{(22,1),(23,1),(46,1),(47,1)}
      37:{1,3,5,6}:{(23,1),(24,1),(47,1),(48,1),(62,1)}
      38:{2,4,5,6}:{(24,1),(48,1),(49,1),(53,1)}
      39:{1,3,5}:{(25,1),(27,1),(29,1),(45,1),(50,1)}
      40:{1,3,6}:{(26,1),(28,1),(30,1),(46,1)}
      41:{1,2,5,6}:{(27,1),(28,1),(31,1),(47,1),(51,1)}
      42:{2,4,5}:{(29,1),(50,1),(52,1),(53,1)}
      43:{2,3,5,6}:{(29,1),(30,1),(31,1),(51,1),(53,1),(54,1)}
      44:{2,4,5,6}:{(31,1),(32,1),(53,1),(54,1)}
      45:{2,3,5}:{(34,1),(39,1),(55,1)}
      46:{2,3,6}:{(35,1),(36,1),(40,1)}
      47:{2,5,6}:{(36,1),(37,1)}
      48:{1,4,5,6}:{(37,1),(38,1),(57,1),(58,1)}
      49:{3,4,5,6}:{(38,1),(59,1)}
      50:{1,4,5}:{(39,1),(42,1),(55,1),(58,1)}
      51:{1,3,5,6}:{(39,1),(40,1),(41,1),(43,1),(56,1),(58,1)}
      52:{3,4,5}:{(42,1),(59,1)}
      53:{2,4,6}:{(42,1),(43,1),(58,1),(59,1)}
      54:{3,5,6}:{(44,1),(59,1)}
      55:{2,4,5}:{(45,1),(50,1),(60,1),(61,1)}
      56:{2,3,5,6}:{(45,1),(46,1),(47,1),(51,1),(61,1),(62,1)}
      57:{2,4,5,6}:{(47,1),(48,1),(61,1),(62,1)}
      58:{1,4,6}:{(50,1),(51,1),(53,1),(61,1)}
      59:{3,4,6}:{(52,1),(53,1),(54,1)}
      60:{3,4,5}:{(55,1),(63,1)}
      61:{2,4,6}:{(55,1),(56,1),(58,1),(63,1)}
      62:{3,5,6}:{(57,1),(63,1)}
      63:{3,4,6}:{(60,1),(61,1),(62,1)}

648 :  0:{2,3,4,5}:{(1,1),(2,1),(31,1),(62,1)}
       1:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(57,1)}
       2:{1,3,4,5}:{(0,1),(6,1),(7,1),(21,1),(59,1),(60,1)}
       3:{2,3,4,5}:{(8,1),(9,1),(15,1),(55,1)}
       4:{3,4,5,6}:{(12,1),(61,1)}
       5:{2,3,5,6}:{(1,1),(12,1),(13,1)}
       6:{1,3,4,6}:{(1,1),(2,1),(13,1),(14,1),(33,1),(52,1),(54,1)}
       7:{2,4,5}:{(2,1),(14,1),(15,1)}
       8:{2,3,4,6}:{(3,1),(17,1),(18,1),(26,1),(47,1)}
       9:{1,3,4,5}:{(3,1),(18,1),(19,1),(21,1),(59,1),(63,1)}
      10:{1,2,4,5}:{(7,1),(19,1),(20,1),(21,1),(23,1),(45,1),(59,1)}
      11:{1,2,3,5}:{(21,1),(22,1),(23,1),(45,1)}
      12:{2,4,5,6}:{(4,1),(5,1),(24,1),(57,1)}
      13:{1,3,5,6}:{(5,1),(6,1),(24,1),(25,1),(46,1)}
      14:{2,4,6}:{(6,1),(7,1),(25,1),(26,1)}
      15:{2,3,5}:{(7,1),(21,1),(26,1),(27,1)}
      16:{3,4,5,6}:{(28,1),(54,1)}
      17:{2,3,5,6}:{(8,1),(28,1),(29,1)}
      18:{1,3,4,6}:{(8,1),(9,1),(29,1),(30,1),(33,1),(52,1),(61,1)}
      19:{2,4,5}:{(9,1),(30,1),(31,1)}
      20:{1,2,4,6}:{(10,1),(14,1),(30,1),(32,1),(33,1),(52,1)}
      21:{1,3,5}:{(10,1),(15,1),(31,1),(33,1),(34,1)}
      22:{1,2,3,6}:{(11,1),(33,1),(35,1)}
      23:{1,2,4}:{(11,1),(34,1)}
      24:{1,4,5,6}:{(12,1),(13,1),(36,1),(52,1)}
      25:{2,5,6}:{(13,1),(14,1)}
      26:{2,3,6}:{(14,1),(15,1),(33,1)}
      27:{2,3,4}:{(15,1),(34,1)}
      28:{2,4,5,6}:{(16,1),(17,1),(39,1),(47,1)}
      29:{1,3,5,6}:{(17,1),(18,1),(39,1),(40,1),(56,1)}
      30:{2,4,6}:{(18,1),(19,1),(40,1),(41,1)}
      31:{2,3,5}:{(19,1),(21,1),(41,1),(42,1)}
      32:{1,2,5,6}:{(20,1),(25,1),(40,1),(43,1),(45,1)}
      33:{1,3,6}:{(20,1),(21,1),(26,1),(41,1)}
      34:{1,3,4}:{(21,1),(23,1),(27,1),(42,1)}
      35:{1,2,4,6}:{(22,1),(23,1),(44,1),(45,1)}
      36:{2,4,5,6}:{(24,1),(25,1),(46,1),(47,1)}
      37:{2,3,5,6}:{(25,1),(26,1),(43,1),(46,1),(47,1),(48,1)}
      38:{2,3,4,6}:{(26,1),(27,1),(44,1),(47,1),(48,1)}
      39:{1,4,5,6}:{(28,1),(29,1),(49,1),(52,1)}
      40:{2,5,6}:{(29,1),(30,1)}
      41:{2,3,6}:{(30,1),(31,1),(33,1)}
      42:{2,3,4}:{(31,1),(34,1)}
      43:{1,3,5,6}:{(32,1),(33,1),(37,1),(50,1),(52,1),(53,1)}
      44:{1,3,4,6}:{(33,1),(34,1),(35,1),(38,1),(51,1),(52,1),(53,1)}
      45:{1,2,5}:{(35,1),(53,1)}
      46:{3,5,6}:{(36,1),(54,1)}
      47:{2,4,6}:{(37,1),(52,1),(54,1),(55,1)}
      48:{2,3,5}:{(38,1),(53,1),(55,1)}
      49:{2,4,5,6}:{(39,1),(40,1),(56,1),(57,1)}
      50:{2,3,5,6}:{(40,1),(41,1),(43,1),(56,1),(57,1),(58,1)}
      51:{2,3,4,6}:{(41,1),(42,1),(44,1),(57,1),(58,1)}
      52:{1,4,6}:{(43,1),(47,1),(57,1),(59,1)}
      53:{1,3,5}:{(44,1),(45,1),(48,1),(58,1),(59,1)}
      54:{3,4,6}:{(46,1),(47,1),(60,1)}
      55:{2,4,5}:{(47,1),(48,1),(59,1),(60,1)}
      56:{3,5,6}:{(49,1),(61,1)}
      57:{2,4,6}:{(50,1),(52,1),(61,1),(62,1)}
      58:{2,3,5}:{(51,1),(53,1),(62,1)}
      59:{1,4,5}:{(52,1),(53,1),(55,1),(62,1)}
      60:{3,4,5}:{(54,1),(55,1)}
      61:{3,4,6}:{(56,1),(57,1),(63,1)}
      62:{2,4,5}:{(57,1),(58,1),(59,1),(63,1)}
      63:{3,4,5}:{(61,1),(62,1)}

649 :  0:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(22,1),(43,1),(57,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(28,1),(30,1)}
       2:{1,3,4,6}:{(1,1),(5,1),(6,1),(40,1),(57,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(18,1)}
       4:{1,3,4,5,6}:{(8,1),(19,1),(25,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(30,1),(33,1),(47,1),(53,1),(59,1)}
       6:{1,3,5}:{(2,1),(3,1),(12,1)}
       7:{1,2,4,5,6}:{(3,1),(13,1),(16,1),(30,1),(36,1),(50,1),(52,1),(58,1)}
       8:{2,4,5,6}:{(4,1),(15,1),(16,1),(30,1),(36,1)}
       9:{1,3,4,5}:{(6,1),(18,1),(19,1)}
      10:{1,2,3,6}:{(17,1),(20,1),(57,1)}
      11:{1,3,4,6}:{(5,1),(20,1),(21,1),(40,1),(42,1),(57,1)}
      12:{2,3,5}:{(5,1),(6,1),(18,1),(21,1)}
      13:{1,3,5,6}:{(6,1),(7,1),(19,1),(22,1),(57,1)}
      14:{2,3,4,5}:{(18,1),(23,1),(24,1),(55,1)}
      15:{2,3,5,6}:{(8,1),(24,1),(25,1)}
      16:{1,4,5,6}:{(8,1),(25,1),(42,1)}
      17:{1,2,3,5}:{(10,1),(28,1),(31,1),(51,1)}
      18:{2,4,5}:{(9,1),(12,1),(29,1),(30,1)}
      19:{1,3,4,6}:{(9,1),(13,1),(30,1)}
      20:{1,2,4,6}:{(10,1),(11,1),(28,1),(31,1)}
      21:{1,3,5}:{(11,1),(12,1),(29,1),(31,1)}
      22:{2,3,5,6}:{(12,1),(13,1),(30,1),(32,1),(36,1),(53,1),(58,1),(59,1)}
      23:{1,3,4,5}:{(14,1),(29,1),(34,1),(35,1),(51,1)}
      24:{2,3,4,6}:{(14,1),(15,1),(30,1),(35,1),(59,1)}
      25:{1,3,5,6}:{(15,1),(16,1),(35,1),(36,1)}
      26:{2,3,4,5}:{(18,1),(37,1),(38,1),(44,1)}
      27:{1,3,4,5,6}:{(19,1),(39,1),(54,1)}
      28:{1,2,4}:{(17,1),(40,1)}
      29:{1,4,5}:{(18,1),(21,1),(42,1)}
      30:{2,4,6}:{(18,1),(19,1),(22,1),(42,1)}
      31:{1,2,5}:{(20,1),(21,1)}
      32:{1,3,5,6}:{(21,1),(22,1),(42,1),(43,1),(57,1)}
      33:{2,3,4}:{(40,1),(44,1)}
      34:{2,4,5}:{(23,1),(44,1),(45,1)}
      35:{1,3,4,6}:{(23,1),(24,1),(25,1),(42,1),(45,1),(57,1)}
      36:{2,5,6}:{(25,1),(45,1)}
      37:{1,3,4,5}:{(26,1),(29,1),(48,1),(49,1),(51,1)}
      38:{2,3,4,6}:{(26,1),(30,1),(46,1),(49,1),(53,1)}
      39:{2,4,5,6}:{(27,1),(30,1),(46,1),(50,1),(58,1)}
      40:{1,3,4}:{(28,1),(33,1),(47,1),(51,1)}
      41:{1,2,4,5}:{(28,1),(29,1),(31,1),(34,1),(48,1),(51,1),(52,1)}
      42:{1,4,6}:{(29,1),(30,1),(32,1)}
      43:{1,2,5,6}:{(31,1),(32,1),(36,1),(52,1),(58,1)}
      44:{2,3,5}:{(33,1),(34,1),(51,1),(53,1)}
      45:{2,4,6}:{(34,1),(35,1),(36,1),(53,1)}
      46:{2,3,5,6}:{(38,1),(39,1),(54,1)}
      47:{2,3,4}:{(40,1),(55,1)}
      48:{2,4,5}:{(37,1),(55,1),(56,1)}
      49:{1,3,4,6}:{(37,1),(38,1),(42,1),(54,1),(56,1),(57,1)}
      50:{1,4,5,6}:{(39,1),(42,1),(54,1)}
      51:{1,3,5}:{(40,1),(41,1),(44,1),(55,1),(57,1)}
      52:{1,2,4,6}:{(41,1),(42,1),(43,1),(45,1),(56,1),(57,1)}
      53:{2,3,6}:{(44,1),(45,1),(57,1)}
      54:{1,3,5,6}:{(46,1),(49,1),(50,1),(58,1)}
      55:{2,3,5}:{(47,1),(48,1),(51,1),(59,1)}
      56:{2,4,6}:{(48,1),(49,1),(58,1),(59,1)}
      57:{1,3,6}:{(51,1),(52,1),(53,1),(59,1)}
      58:{2,5,6}:{(54,1),(56,1)}
      59:{2,3,6}:{(55,1),(56,1),(57,1)}

650 :  0:{1,3,4,5,6}:{(1,1),(7,1),(18,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(24,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(26,1),(31,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(24,1),(32,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(20,1),(36,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1)}
       8:{1,2,4,5,6}:{(4,1),(11,1),(12,1),(19,1),(24,1),(36,1),(39,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(14,1),(27,1),(30,1)}
      10:{2,4,5}:{(6,1),(14,1),(15,1)}
      11:{2,5,6}:{(7,1),(14,1)}
      12:{1,3,5,6}:{(8,1),(17,1),(18,1),(27,1),(38,1)}
      13:{1,2,4,5}:{(10,1),(19,1),(20,1),(33,1),(36,1),(39,1)}
      14:{2,4,6}:{(9,1),(10,1),(11,1),(21,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(39,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(21,1),(23,1),(24,1),(32,1),(35,1),(39,1)}
      18:{1,3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(27,1),(30,1),(37,1)}
      20:{1,3,5}:{(13,1),(15,1),(26,1),(27,1),(28,1)}
      21:{2,3,6}:{(14,1),(15,1),(27,1)}
      22:{2,3,4}:{(15,1),(28,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(27,1),(30,1),(38,1)}
      24:{2,4,6}:{(17,1),(18,1),(30,1),(31,1)}
      25:{1,3,4,5}:{(18,1),(31,1),(38,1)}
      26:{2,3,5}:{(20,1),(32,1),(33,1),(39,1)}
      27:{1,3,6}:{(19,1),(20,1),(21,1),(32,1)}
      28:{1,3,4}:{(20,1),(22,1),(33,1)}
      29:{2,3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      30:{1,4,6}:{(23,1),(24,1),(36,1)}
      31:{2,4,5}:{(24,1),(25,1),(35,1),(36,1),(39,1)}
      32:{2,3,6}:{(26,1),(27,1),(37,1)}
      33:{2,4}:{(26,1),(28,1)}
      34:{1,3,4,6}:{(27,1),(28,1),(29,1),(30,1),(37,1),(38,1)}
      35:{2,3,5}:{(29,1),(31,1),(38,1)}
      36:{1,4,5}:{(30,1),(31,1),(38,1)}
      37:{2,4,6}:{(32,1),(33,1),(34,1),(39,1)}
      38:{1,3,5}:{(34,1),(35,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

651 :  0:{1,3,4,5,6}:{(2,1),(6,1),(9,1)}
       1:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(15,1),(24,1),(25,1),(33,1)}
       2:{2,4,5,6}:{(0,1),(4,1),(5,1),(11,1),(15,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(7,1),(28,1),(31,1)}
       4:{2,3,5,6}:{(2,1),(8,1),(9,1)}
       5:{1,4,5,6}:{(2,1),(9,1),(18,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(11,1)}
       7:{2,3,5,6}:{(3,1),(11,1),(12,1),(15,1),(22,1),(27,1),(33,1),(34,1)}
       8:{2,3,4,6}:{(4,1),(11,1),(13,1),(14,1),(34,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1)}
      10:{1,3,4,5}:{(6,1),(17,1),(28,1)}
      11:{2,4,6}:{(6,1),(7,1),(17,1),(18,1)}
      12:{1,3,5,6}:{(7,1),(18,1),(19,1),(28,1),(31,1)}
      13:{2,3,4,5}:{(8,1),(17,1),(20,1),(37,1)}
      14:{1,3,4,6}:{(8,1),(9,1),(18,1),(20,1),(21,1),(31,1)}
      15:{2,5,6}:{(9,1),(21,1)}
      16:{2,3,4,6}:{(11,1),(22,1),(23,1),(27,1),(36,1)}
      17:{2,4,5}:{(10,1),(11,1),(22,1),(24,1),(33,1)}
      18:{1,4,6}:{(11,1),(12,1),(24,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(25,1),(33,1)}
      20:{1,3,4,5}:{(13,1),(14,1),(24,1),(26,1),(35,1)}
      21:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      22:{2,3,5}:{(16,1),(17,1),(28,1)}
      23:{1,3,4,6}:{(16,1),(18,1),(28,1),(29,1),(31,1),(38,1)}
      24:{1,4,5}:{(17,1),(18,1),(28,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(29,1),(30,1),(31,1)}
      26:{2,4,5}:{(20,1),(21,1),(32,1)}
      27:{2,3,6}:{(21,1),(31,1),(32,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(33,1)}
      29:{2,4,6}:{(23,1),(33,1),(34,1),(39,1)}
      30:{1,2,4,5}:{(24,1),(25,1),(26,1),(33,1),(35,1),(39,1)}
      31:{1,3,6}:{(25,1),(27,1),(34,1),(35,1)}
      32:{2,3,5}:{(26,1),(27,1),(35,1),(36,1)}
      33:{2,5}:{(28,1),(29,1)}
      34:{2,3,6}:{(29,1),(31,1),(37,1)}
      35:{1,3,5}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{2,3,4}:{(32,1),(38,1)}
      37:{2,3,5}:{(33,1),(34,1),(35,1),(39,1)}
      38:{1,3,4}:{(35,1),(36,1),(39,1)}
      39:{2,4}:{(37,1),(38,1)}

652 :  0:{2,3,4,5,6}:{(1,1),(7,1),(25,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(28,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(31,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(11,1),(19,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(27,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
       6:{2,3,4,6}:{(4,1),(8,1),(9,1)}
       7:{2,3,5,6}:{(5,1),(11,1),(20,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(11,1),(12,1)}
       9:{2,3,4,5}:{(6,1),(12,1),(27,1)}
      10:{1,2,3,5,6}:{(7,1),(14,1),(23,1),(32,1)}
      11:{2,4,6}:{(7,1),(8,1),(16,1)}
      12:{1,3,4,5}:{(8,1),(9,1),(16,1),(23,1)}
      13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
      15:{2,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(20,1)}
      17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
      18:{1,3,4,6}:{(14,1),(15,1),(22,1),(23,1)}
      19:{1,2,4,5}:{(14,1),(16,1),(23,1),(31,1)}
      20:{2,3,5}:{(15,1),(16,1),(23,1)}
      21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
      22:{2,3,4,6}:{(18,1),(27,1),(34,1)}
      23:{1,3,5}:{(18,1),(19,1),(20,1),(27,1)}
      24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
      25:{2,3,4,5}:{(20,1),(28,1),(30,1)}
      26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
      27:{2,3,5}:{(22,1),(23,1),(31,1)}
      28:{1,3,4,5}:{(23,1),(25,1),(31,1),(33,1)}
      29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
      30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
      31:{2,4,5}:{(27,1),(28,1),(34,1)}
      32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,6}:{(31,1),(32,1),(33,1)}

653 :  0:{3,4,5,6}:{(2,1),(42,1)}
       1:{2,3,4,5}:{(3,1),(4,1),(25,1),(43,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1),(39,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1),(30,1),(39,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1),(18,1),(29,1),(40,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(9,1)}
       6:{1,4,5,6}:{(2,1),(9,1),(10,1),(35,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(9,1),(11,1),(22,1),(23,1),(35,1)}
       8:{2,4,5}:{(4,1),(11,1),(13,1)}
       9:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1),(15,1)}
      10:{2,4,5,6}:{(6,1),(14,1),(15,1),(28,1)}
      11:{2,4,6}:{(7,1),(8,1),(14,1),(17,1)}
      12:{1,2,4,5}:{(8,1),(16,1),(18,1),(33,1),(40,1),(41,1)}
      13:{2,3,5}:{(8,1),(17,1),(18,1),(19,1)}
      14:{2,5,6}:{(9,1),(11,1)}
      15:{3,5,6}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(20,1),(23,1),(35,1),(37,1)}
      17:{2,3,6}:{(11,1),(13,1),(23,1)}
      18:{1,3,5}:{(12,1),(13,1),(23,1),(25,1),(26,1)}
      19:{2,3,4}:{(13,1),(26,1)}
      20:{1,2,5,6}:{(14,1),(16,1),(27,1),(41,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(17,1),(27,1),(28,1),(32,1)}
      22:{3,4,6}:{(15,1),(28,1),(29,1)}
      23:{1,3,6}:{(16,1),(17,1),(18,1),(30,1)}
      24:{2,3,4,6}:{(17,1),(19,1),(28,1),(31,1),(32,1)}
      25:{2,3,5}:{(18,1),(30,1),(33,1),(41,1)}
      26:{1,3,4}:{(18,1),(19,1),(33,1)}
      27:{1,3,5,6}:{(20,1),(21,1),(23,1),(34,1),(35,1),(38,1)}
      28:{2,4,6}:{(21,1),(22,1),(35,1),(36,1)}
      29:{3,4,5}:{(22,1),(36,1)}
      30:{2,3,6}:{(23,1),(25,1),(37,1)}
      31:{1,3,4,6}:{(23,1),(24,1),(26,1),(35,1),(37,1),(38,1),(42,1)}
      32:{2,3,5}:{(24,1),(36,1),(38,1)}
      33:{2,4}:{(25,1),(26,1)}
      34:{2,3,5,6}:{(27,1),(30,1),(39,1),(41,1),(44,1)}
      35:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      36:{2,4,5}:{(28,1),(29,1),(32,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(33,1),(41,1)}
      38:{1,3,5}:{(31,1),(32,1),(40,1),(41,1),(44,1)}
      39:{2,4,6}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(35,1),(36,1),(38,1),(43,1)}
      41:{2,5}:{(37,1),(38,1)}
      42:{3,4,6}:{(39,1),(44,1)}
      43:{2,4,5}:{(39,1),(40,1),(41,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

654 :  0:{1,2,3,5,6}:{(1,1),(7,1),(26,1),(40,1),(67,1),(74,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(37,1),(53,1)}
       2:{1,2,3,5,6}:{(5,1),(18,1),(21,1),(45,1),(52,1),(70,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(64,1),(74,1)}
       4:{1,2,4,5}:{(1,1),(7,1),(22,1)}
       5:{1,2,4,6}:{(2,1),(9,1),(10,1),(35,1),(55,1)}
       6:{2,3,4,6}:{(3,1),(14,1),(15,1),(37,1),(58,1),(73,1)}
       7:{1,3,5}:{(3,1),(4,1),(15,1)}
       8:{1,2,4,5,6}:{(4,1),(16,1),(34,1),(37,1),(61,1),(72,1)}
       9:{1,3,4,6}:{(5,1),(17,1),(18,1),(49,1),(70,1)}
      10:{1,2,4,5}:{(5,1),(18,1),(41,1)}
      11:{1,3,4,5,6}:{(20,1),(23,1),(42,1),(48,1)}
      12:{1,3,4,5}:{(7,1),(22,1),(23,1)}
      13:{1,2,3,6}:{(21,1),(24,1),(70,1)}
      14:{1,3,4,6}:{(6,1),(24,1),(25,1),(49,1),(51,1),(70,1)}
      15:{2,3,5}:{(6,1),(7,1),(22,1),(25,1)}
      16:{1,3,5,6}:{(7,1),(8,1),(23,1),(26,1),(74,1)}
      17:{2,3,4,6}:{(9,1),(29,1),(30,1),(55,1),(58,1),(73,1)}
      18:{1,3,5}:{(9,1),(10,1),(30,1)}
      19:{1,2,4,5,6}:{(10,1),(31,1),(34,1),(55,1),(61,1),(63,1)}
      20:{2,4,5,6}:{(11,1),(33,1),(34,1),(37,1),(55,1),(61,1)}
      21:{1,2,3,5}:{(13,1),(35,1),(38,1),(62,1)}
      22:{2,4,5}:{(12,1),(15,1),(36,1),(37,1)}
      23:{1,3,4,6}:{(12,1),(16,1),(37,1)}
      24:{1,2,4,6}:{(13,1),(14,1),(35,1),(38,1)}
      25:{1,3,5}:{(14,1),(15,1),(36,1),(38,1)}
      26:{2,3,5,6}:{(15,1),(16,1),(37,1),(39,1),(61,1),(73,1)}
      27:{1,3,4,5}:{(18,1),(41,1),(42,1)}
      28:{1,2,3,6}:{(40,1),(43,1),(74,1)}
      29:{1,3,4,6}:{(17,1),(43,1),(44,1),(64,1),(66,1),(74,1)}
      30:{2,3,5}:{(17,1),(18,1),(41,1),(44,1)}
      31:{1,3,5,6}:{(18,1),(19,1),(42,1),(45,1),(70,1)}
      32:{2,3,4,5}:{(22,1),(41,1),(46,1),(47,1),(68,1)}
      33:{2,3,5,6}:{(20,1),(47,1),(48,1)}
      34:{1,4,5,6}:{(20,1),(48,1),(51,1),(66,1)}
      35:{1,2,4}:{(21,1),(49,1)}
      36:{1,4,5}:{(22,1),(25,1),(51,1)}
      37:{2,4,6}:{(22,1),(23,1),(26,1),(51,1)}
      38:{1,2,5}:{(24,1),(25,1)}
      39:{1,3,5,6}:{(25,1),(26,1),(51,1),(52,1),(70,1)}
      40:{1,2,3,5}:{(28,1),(53,1),(56,1),(71,1)}
      41:{2,4,5}:{(27,1),(30,1),(54,1),(55,1)}
      42:{1,3,4,6}:{(27,1),(31,1),(55,1)}
      43:{1,2,4,6}:{(28,1),(29,1),(53,1),(56,1)}
      44:{1,3,5}:{(29,1),(30,1),(54,1),(56,1)}
      45:{2,3,5,6}:{(30,1),(31,1),(55,1),(57,1),(61,1),(73,1)}
      46:{1,3,4,5}:{(32,1),(36,1),(54,1),(59,1),(60,1),(62,1),(71,1)}
      47:{2,3,4,6}:{(32,1),(33,1),(37,1),(55,1),(60,1),(73,1)}
      48:{1,3,5,6}:{(33,1),(34,1),(60,1),(61,1)}
      49:{1,3,4}:{(35,1),(58,1),(62,1)}
      50:{1,2,4,5}:{(35,1),(36,1),(38,1),(59,1),(62,1),(63,1)}
      51:{1,4,6}:{(36,1),(37,1),(39,1)}
      52:{1,2,5,6}:{(38,1),(39,1),(61,1),(63,1)}
      53:{1,2,4}:{(40,1),(64,1)}
      54:{1,4,5}:{(41,1),(44,1),(66,1)}
      55:{2,4,6}:{(41,1),(42,1),(45,1),(66,1)}
      56:{1,2,5}:{(43,1),(44,1)}
      57:{1,3,5,6}:{(44,1),(45,1),(66,1),(67,1),(74,1)}
      58:{2,3,4}:{(49,1),(64,1),(68,1)}
      59:{2,4,5}:{(46,1),(68,1),(69,1)}
      60:{1,3,4,6}:{(46,1),(47,1),(48,1),(51,1),(66,1),(69,1),(70,1),(74,1)}
      61:{2,5,6}:{(48,1),(69,1)}
      62:{1,3,5}:{(49,1),(50,1),(68,1),(70,1)}
      63:{1,2,4,6}:{(50,1),(51,1),(52,1),(69,1),(70,1)}
      64:{1,3,4}:{(53,1),(58,1),(71,1)}
      65:{1,2,4,5}:{(53,1),(54,1),(56,1),(59,1),(71,1),(72,1)}
      66:{1,4,6}:{(54,1),(55,1),(57,1)}
      67:{1,2,5,6}:{(56,1),(57,1),(61,1),(72,1)}
      68:{2,3,5}:{(58,1),(59,1),(62,1),(71,1),(73,1)}
      69:{2,4,6}:{(59,1),(60,1),(61,1),(73,1)}
      70:{1,3,6}:{(62,1),(63,1),(73,1)}
      71:{1,3,5}:{(64,1),(65,1),(68,1),(74,1)}
      72:{1,2,4,6}:{(65,1),(66,1),(67,1),(69,1),(74,1)}
      73:{2,3,6}:{(68,1),(69,1),(70,1),(74,1)}
      74:{1,3,6}:{(71,1),(72,1),(73,1)}

655 :  0:{1,2,3,5,6}:{(2,1),(10,1),(11,1),(48,1),(65,1),(72,1)}
       1:{1,2,4,5,6}:{(4,1),(5,1),(16,1),(18,1),(39,1),(57,1)}
       2:{1,2,4,6}:{(0,1),(5,1),(6,1),(18,1),(74,1)}
       3:{1,3,4,5,6}:{(8,1),(9,1),(23,1),(26,1)}
       4:{1,3,5,6}:{(1,1),(9,1),(10,1),(11,1),(65,1)}
       5:{1,2,4,5}:{(2,1),(11,1),(27,1)}
       6:{1,3,4,6}:{(2,1),(11,1),(12,1),(65,1),(73,1)}
       7:{1,2,4,5,6}:{(14,1),(16,1),(32,1),(35,1),(39,1),(41,1)}
       8:{2,4,5,6}:{(3,1),(15,1),(16,1),(18,1),(35,1),(39,1)}
       9:{1,3,4,6}:{(4,1),(17,1),(18,1)}
      10:{2,3,5,6}:{(4,1),(18,1),(19,1),(20,1),(39,1),(59,1)}
      11:{1,3,5}:{(5,1),(6,1),(20,1)}
      12:{2,3,4,6}:{(6,1),(18,1),(20,1),(21,1),(59,1),(71,1)}
      13:{1,2,3,5,6}:{(22,1),(24,1),(29,1),(44,1),(52,1),(53,1)}
      14:{1,3,5,6}:{(7,1),(23,1),(24,1),(44,1),(52,1)}
      15:{2,3,5,6}:{(8,1),(25,1),(26,1)}
      16:{1,4,5,6}:{(8,1),(26,1),(28,1),(47,1)}
      17:{1,3,4,5}:{(9,1),(11,1),(27,1)}
      18:{2,4,6}:{(9,1),(10,1),(27,1),(28,1)}
      19:{1,3,5,6}:{(10,1),(28,1),(29,1),(30,1),(52,1)}
      20:{2,3,5}:{(11,1),(12,1),(27,1),(30,1)}
      21:{1,3,4,6}:{(12,1),(28,1),(30,1),(31,1),(52,1),(67,1)}
      22:{1,2,4,6}:{(13,1),(32,1),(33,1),(35,1),(61,1)}
      23:{1,3,4,6}:{(14,1),(34,1),(35,1)}
      24:{2,3,5,6}:{(14,1),(35,1),(36,1),(39,1),(54,1),(59,1)}
      25:{2,3,4,6}:{(15,1),(18,1),(35,1),(37,1),(38,1),(59,1)}
      26:{1,3,5,6}:{(15,1),(16,1),(38,1),(39,1)}
      27:{2,4,5}:{(17,1),(18,1),(20,1),(40,1)}
      28:{1,4,6}:{(18,1),(19,1),(40,1)}
      29:{1,2,5,6}:{(19,1),(39,1),(41,1),(42,1)}
      30:{1,3,5}:{(20,1),(21,1),(40,1),(42,1)}
      31:{1,2,4,6}:{(21,1),(42,1),(43,1),(61,1)}
      32:{1,2,4,5}:{(22,1),(44,1),(46,1)}
      33:{1,3,4,6}:{(22,1),(44,1),(45,1),(52,1),(67,1)}
      34:{1,3,4,5}:{(23,1),(44,1),(46,1)}
      35:{2,4,6}:{(23,1),(24,1),(46,1),(47,1)}
      36:{1,3,5,6}:{(24,1),(47,1),(48,1),(62,1),(65,1)}
      37:{2,3,4,5}:{(25,1),(27,1),(46,1),(49,1),(66,1)}
      38:{1,3,4,6}:{(25,1),(26,1),(28,1),(47,1),(49,1),(50,1),(52,1),(65,1)}
      39:{2,5,6}:{(26,1),(50,1)}
      40:{1,4,5}:{(27,1),(28,1),(30,1)}
      41:{1,2,4,6}:{(28,1),(29,1),(50,1),(51,1),(52,1)}
      42:{1,2,5}:{(30,1),(31,1)}
      43:{1,2,3,6}:{(31,1),(52,1),(53,1)}
      44:{1,3,5}:{(32,1),(33,1),(54,1)}
      45:{2,3,4,6}:{(33,1),(35,1),(54,1),(55,1),(59,1),(71,1)}
      46:{2,4,5}:{(34,1),(35,1),(54,1),(56,1)}
      47:{1,4,6}:{(35,1),(36,1),(56,1)}
      48:{1,2,5,6}:{(36,1),(39,1),(57,1),(68,1)}
      49:{1,3,4,5}:{(37,1),(38,1),(40,1),(56,1),(58,1),(60,1),(70,1)}
      50:{2,4,6}:{(38,1),(39,1),(58,1),(59,1)}
      51:{1,2,4,5}:{(40,1),(41,1),(42,1),(58,1),(60,1),(61,1)}
      52:{1,3,6}:{(41,1),(59,1),(60,1)}
      53:{1,2,3,5}:{(42,1),(43,1),(60,1),(61,1)}
      54:{2,3,5}:{(44,1),(45,1),(46,1),(62,1)}
      55:{1,3,4,6}:{(45,1),(47,1),(62,1),(63,1),(65,1),(73,1)}
      56:{1,4,5}:{(46,1),(47,1),(62,1)}
      57:{1,2,4,6}:{(47,1),(48,1),(50,1),(64,1),(65,1)}
      58:{2,4,5}:{(49,1),(50,1),(66,1)}
      59:{2,3,6}:{(50,1),(52,1),(65,1),(66,1)}
      60:{1,3,5}:{(51,1),(52,1),(66,1),(67,1)}
      61:{1,2,4}:{(53,1),(67,1)}
      62:{1,3,5}:{(54,1),(55,1),(56,1),(68,1)}
      63:{1,2,4,6}:{(55,1),(68,1),(69,1),(74,1)}
      64:{1,2,4,5}:{(56,1),(57,1),(58,1),(68,1),(70,1),(74,1)}
      65:{1,3,6}:{(57,1),(59,1),(70,1)}
      66:{2,3,5}:{(58,1),(59,1),(60,1),(70,1),(71,1)}
      67:{1,3,4}:{(60,1),(61,1),(71,1)}
      68:{1,2,5}:{(62,1),(63,1)}
      69:{1,2,3,6}:{(63,1),(65,1),(72,1)}
      70:{1,3,5}:{(64,1),(65,1),(66,1),(73,1)}
      71:{2,3,4}:{(66,1),(67,1),(73,1)}
      72:{1,2,3,5}:{(68,1),(69,1),(70,1),(74,1)}
      73:{1,3,4}:{(70,1),(71,1),(74,1)}
      74:{1,2,4}:{(72,1),(73,1)}

656 :  0:{1,2,3,4,6}:{(1,1),(5,1)}
       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),(9,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       6:{1,2,4,5,6}:{(5,1),(9,1),(17,1)}
       7:{2,3,4,5}:{(4,1),(10,1),(11,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(9,1),(11,1)}
       9:{1,3,5,6}:{(6,1),(8,1),(13,1)}
      10:{1,3,4,5}:{(7,1),(15,1),(16,1)}
      11:{2,3,4,6}:{(7,1),(8,1),(13,1),(16,1)}
      12:{1,3,4,5,6}:{(9,1),(17,1)}
      13:{2,3,5,6}:{(9,1),(11,1),(17,1),(18,1)}
      14:{1,2,3,4}:{(19,1)}
      15:{1,2,4,5}:{(10,1),(19,1),(20,1)}
      16:{1,3,4,6}:{(10,1),(11,1),(18,1),(20,1)}
      17:{2,4,5,6}:{(12,1),(13,1),(21,1)}
      18:{1,3,5,6}:{(13,1),(16,1),(21,1),(22,1)}
      19:{1,2,3,5}:{(14,1),(15,1),(23,1)}
      20:{1,2,4,6}:{(15,1),(16,1),(22,1),(23,1)}
      21:{1,4,5,6}:{(17,1),(18,1)}
      22:{1,2,5,6}:{(18,1),(20,1)}
      23:{1,2,3,6}:{(19,1),(20,1)}

657 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
       2:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       3:{1,2,3,6}:{(1,1),(5,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,2,3,4}:{(10,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1)}
       9:{1,2,5,6}:{(5,1),(13,1)}
      10:{1,2,3,5}:{(6,1),(14,1),(15,1)}
      11:{1,3,4,5}:{(7,1),(14,1),(16,1)}
      12:{2,3,4,6}:{(7,1),(8,1),(16,1),(17,1)}
      13:{1,3,5,6}:{(8,1),(9,1),(17,1),(18,1)}
      14:{1,2,4,5}:{(10,1),(11,1),(19,1)}
      15:{1,2,3,6}:{(10,1),(19,1)}
      16:{1,3,4,6}:{(11,1),(12,1),(19,1),(20,1)}
      17:{2,3,5,6}:{(12,1),(13,1),(20,1),(21,1)}
      18:{1,4,5,6}:{(13,1),(21,1)}
      19:{1,2,4,6}:{(14,1),(15,1),(16,1),(22,1)}
      20:{1,3,5,6}:{(16,1),(17,1),(22,1),(23,1)}
      21:{2,4,5,6}:{(17,1),(18,1),(23,1),(24,1)}
      22:{1,2,5,6}:{(19,1),(20,1)}
      23:{1,4,5,6}:{(20,1),(21,1)}
      24:{3,4,5,6}:{(21,1)}

658 :  0:{1,2,4,5,6}:{(1,1),(5,1),(13,1),(19,1),(20,1)}
       1:{1,3,5,6}:{(0,1),(2,1),(3,1),(15,1),(24,1)}
       2:{1,3,4,6}:{(1,1),(4,1),(5,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(6,1),(11,1),(20,1),(21,1)}
       4:{1,3,4,5}:{(2,1),(8,1),(15,1),(26,1)}
       5:{2,4,6}:{(2,1),(3,1),(8,1),(9,1)}
       6:{1,3,5,6}:{(3,1),(9,1),(10,1),(15,1),(18,1)}
       7:{2,3,4,6}:{(5,1),(11,1),(12,1),(21,1),(28,1)}
       8:{2,4,5}:{(4,1),(5,1),(11,1),(13,1),(20,1),(28,1)}
       9:{1,4,6}:{(5,1),(6,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(14,1),(20,1)}
      11:{2,3,5}:{(7,1),(8,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(9,1),(15,1),(16,1),(18,1),(24,1),(26,1),(29,1)}
      13:{1,4,5}:{(8,1),(9,1),(15,1),(29,1)}
      14:{1,2,4,6}:{(9,1),(10,1),(16,1),(17,1),(18,1)}
      15:{1,3,5}:{(11,1),(12,1),(13,1),(20,1)}
      16:{2,4,6}:{(12,1),(20,1),(21,1),(28,1)}
      17:{1,2,4,5}:{(13,1),(14,1),(20,1),(22,1),(28,1)}
      18:{1,3,6}:{(14,1),(21,1),(22,1)}
      19:{1,2,4,6}:{(16,1),(23,1),(24,1),(29,1)}
      20:{2,5}:{(15,1),(16,1)}
      21:{2,3,6}:{(16,1),(18,1),(24,1),(25,1)}
      22:{1,3,5}:{(17,1),(18,1),(25,1),(26,1)}
      23:{1,2,5}:{(19,1),(20,1),(27,1)}
      24:{1,3,6}:{(19,1),(21,1),(27,1)}
      25:{2,3,5}:{(20,1),(21,1),(22,1),(27,1),(28,1)}
      26:{1,3,4}:{(22,1),(28,1)}
      27:{1,3,5}:{(23,1),(24,1),(25,1),(29,1)}
      28:{2,4}:{(25,1),(26,1),(29,1)}
      29:{1,4}:{(27,1),(28,1)}

659 :  0:{1,2,3,5,6}:{(2,1),(10,1),(16,1),(33,1),(35,1),(48,1)}
       1:{1,3,4,5,6}:{(3,1),(15,1),(36,1)}
       2:{1,2,4,6}:{(0,1),(7,1),(8,1),(18,1),(44,1)}
       3:{2,4,5,6}:{(1,1),(6,1),(9,1),(25,1),(44,1)}
       4:{2,3,4,5}:{(11,1),(12,1),(34,1),(46,1)}
       5:{1,2,3,6}:{(10,1),(13,1),(48,1)}
       6:{2,3,5,6}:{(3,1),(12,1),(15,1)}
       7:{1,3,4,6}:{(2,1),(14,1),(16,1),(28,1),(48,1)}
       8:{1,2,4,5}:{(2,1),(16,1),(34,1)}
       9:{1,4,5,6}:{(3,1),(15,1),(50,1)}
      10:{1,2,3,5}:{(5,1),(18,1),(23,1),(38,1)}
      11:{1,3,4,5}:{(4,1),(20,1),(21,1),(38,1),(42,1)}
      12:{2,3,4,6}:{(4,1),(6,1),(21,1),(44,1),(53,1)}
      13:{1,2,4,6}:{(5,1),(18,1),(22,1),(23,1)}
      14:{2,3,4,6}:{(7,1),(19,1),(22,1),(24,1),(37,1),(41,1),(44,1),(53,1)}
      15:{1,3,5,6}:{(6,1),(9,1),(21,1),(25,1)}
      16:{1,3,5}:{(7,1),(8,1),(24,1)}
      17:{1,2,4,5,6}:{(8,1),(9,1),(25,1),(27,1),(39,1),(44,1),(56,1),(59,1)}
      18:{1,2,4}:{(10,1),(28,1)}
      19:{2,3,4}:{(28,1),(30,1)}
      20:{2,4,5}:{(11,1),(30,1),(31,1)}
      21:{1,3,4,6}:{(11,1),(12,1),(15,1),(31,1),(48,1),(50,1)}
      22:{1,3,4,6}:{(13,1),(14,1),(28,1),(32,1),(48,1),(50,1)}
      23:{1,2,5}:{(13,1),(32,1)}
      24:{2,3,5}:{(14,1),(16,1),(32,1),(34,1)}
      25:{2,5,6}:{(15,1),(31,1)}
      26:{1,3,4,5}:{(16,1),(34,1),(36,1)}
      27:{1,3,5,6}:{(16,1),(17,1),(35,1),(36,1),(48,1)}
      28:{1,3,4}:{(18,1),(19,1),(37,1),(38,1)}
      29:{1,2,4,5}:{(18,1),(20,1),(23,1),(38,1),(39,1),(42,1),(52,1)}
      30:{2,3,5}:{(19,1),(20,1),(38,1),(41,1)}
      31:{2,4,6}:{(20,1),(21,1),(25,1),(41,1)}
      32:{1,3,5}:{(22,1),(23,1),(24,1),(42,1)}
      33:{1,2,5,6}:{(23,1),(25,1),(39,1),(43,1),(59,1)}
      34:{2,4,5}:{(24,1),(26,1),(42,1),(44,1)}
      35:{2,3,5,6}:{(24,1),(25,1),(27,1),(41,1),(43,1),(44,1),(53,1),(59,1)}
      36:{1,3,4,6}:{(26,1),(27,1),(44,1)}
      37:{2,3,4}:{(28,1),(46,1)}
      38:{1,3,5}:{(28,1),(29,1),(30,1),(46,1),(48,1)}
      39:{1,2,4,6}:{(29,1),(31,1),(33,1),(48,1),(50,1),(57,1)}
      40:{2,3,4,5}:{(30,1),(34,1),(47,1),(49,1)}
      41:{2,3,6}:{(30,1),(31,1),(48,1)}
      42:{1,4,5}:{(32,1),(34,1),(50,1)}
      43:{1,3,5,6}:{(32,1),(33,1),(35,1),(48,1),(50,1)}
      44:{2,4,6}:{(34,1),(35,1),(36,1),(50,1)}
      45:{1,3,4,5,6}:{(36,1),(51,1),(58,1)}
      46:{2,3,5}:{(37,1),(38,1),(52,1),(53,1)}
      47:{1,3,4,5}:{(38,1),(40,1),(42,1),(52,1),(54,1)}
      48:{1,3,6}:{(38,1),(39,1),(41,1),(53,1)}
      49:{2,3,4,6}:{(40,1),(41,1),(44,1),(54,1),(55,1)}
      50:{1,4,6}:{(42,1),(43,1),(44,1)}
      51:{2,4,5,6}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      52:{2,4,5}:{(46,1),(47,1),(57,1)}
      53:{2,3,6}:{(46,1),(48,1),(57,1)}
      54:{1,3,4,6}:{(47,1),(48,1),(49,1),(50,1),(57,1),(58,1)}
      55:{2,3,5,6}:{(49,1),(51,1),(58,1)}
      56:{1,4,5,6}:{(50,1),(51,1),(58,1)}
      57:{2,4,6}:{(52,1),(53,1),(54,1),(59,1)}
      58:{1,3,5,6}:{(54,1),(55,1),(56,1),(59,1)}
      59:{2,5,6}:{(57,1),(58,1)}

660 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(53,1)}
       1:{2,3,4,6}:{(0,1),(6,1),(7,1),(29,1),(47,1)}
       2:{1,3,4,5}:{(0,1),(7,1),(8,1),(10,1),(24,1),(49,1),(54,1),(55,1)}
       3:{1,2,4,5}:{(8,1),(9,1),(10,1),(12,1),(33,1),(49,1)}
       4:{1,2,3,5}:{(10,1),(11,1),(12,1),(33,1)}
       5:{3,4,5,6}:{(15,1),(52,1)}
       6:{2,3,5,6}:{(1,1),(15,1),(16,1)}
       7:{1,3,4,6}:{(1,1),(2,1),(16,1),(17,1),(20,1),(35,1),(41,1),(50,1),(52,1)}
       8:{2,4,5}:{(2,1),(17,1),(18,1)}
       9:{1,2,4,6}:{(3,1),(17,1),(19,1),(20,1),(41,1)}
      10:{1,3,5}:{(3,1),(18,1),(20,1),(21,1)}
      11:{1,2,3,6}:{(4,1),(20,1),(22,1)}
      12:{1,2,4}:{(4,1),(21,1)}
      13:{1,2,4,5}:{(8,1),(23,1),(24,1),(26,1),(45,1),(54,1)}
      14:{1,2,3,5}:{(24,1),(25,1),(26,1),(45,1)}
      15:{2,4,5,6}:{(5,1),(6,1),(27,1),(47,1)}
      16:{1,3,5,6}:{(6,1),(7,1),(27,1),(28,1),(46,1)}
      17:{2,4,6}:{(7,1),(8,1),(28,1),(29,1)}
      18:{2,3,5}:{(8,1),(10,1),(24,1),(29,1),(30,1)}
      19:{1,2,5,6}:{(9,1),(28,1),(31,1),(33,1)}
      20:{1,3,6}:{(9,1),(10,1),(29,1)}
      21:{1,3,4}:{(10,1),(12,1),(30,1)}
      22:{1,2,4,6}:{(11,1),(12,1),(32,1),(33,1)}
      23:{1,2,4,6}:{(13,1),(17,1),(34,1),(35,1),(50,1)}
      24:{1,3,5}:{(13,1),(18,1),(35,1),(36,1)}
      25:{1,2,3,6}:{(14,1),(35,1),(37,1)}
      26:{1,2,4}:{(14,1),(36,1)}
      27:{1,4,5,6}:{(15,1),(16,1),(38,1),(41,1),(50,1)}
      28:{2,5,6}:{(16,1),(17,1)}
      29:{2,3,6}:{(17,1),(18,1),(20,1),(35,1)}
      30:{2,3,4}:{(18,1),(21,1),(36,1)}
      31:{1,3,5,6}:{(19,1),(20,1),(39,1),(41,1),(42,1)}
      32:{1,3,4,6}:{(20,1),(21,1),(22,1),(40,1),(41,1),(42,1)}
      33:{1,2,5}:{(22,1),(42,1)}
      34:{1,2,5,6}:{(23,1),(28,1),(43,1),(45,1)}
      35:{1,3,6}:{(23,1),(24,1),(29,1)}
      36:{1,3,4}:{(24,1),(26,1),(30,1)}
      37:{1,2,4,6}:{(25,1),(26,1),(44,1),(45,1)}
      38:{2,4,5,6}:{(27,1),(28,1),(46,1),(47,1)}
      39:{2,3,5,6}:{(28,1),(29,1),(31,1),(43,1),(46,1),(47,1),(48,1)}
      40:{2,3,4,6}:{(29,1),(30,1),(32,1),(44,1),(47,1),(48,1)}
      41:{1,4,6}:{(31,1),(47,1),(49,1)}
      42:{1,3,5}:{(32,1),(33,1),(48,1),(49,1)}
      43:{1,3,5,6}:{(34,1),(35,1),(39,1),(50,1),(51,1)}
      44:{1,3,4,6}:{(35,1),(36,1),(37,1),(40,1),(50,1),(51,1)}
      45:{1,2,5}:{(37,1),(51,1)}
      46:{3,5,6}:{(38,1),(52,1)}
      47:{2,4,6}:{(39,1),(41,1),(50,1),(52,1),(53,1)}
      48:{2,3,5}:{(40,1),(42,1),(51,1),(53,1)}
      49:{1,4,5}:{(41,1),(42,1),(53,1)}
      50:{1,4,6}:{(43,1),(47,1),(54,1)}
      51:{1,3,5}:{(44,1),(45,1),(48,1),(54,1)}
      52:{3,4,6}:{(46,1),(47,1),(55,1)}
      53:{2,4,5}:{(47,1),(48,1),(49,1),(54,1),(55,1)}
      54:{1,4,5}:{(50,1),(51,1),(53,1)}
      55:{3,4,5}:{(52,1),(53,1)}

661 :  0:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(22,1),(43,1),(57,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(28,1),(30,1)}
       2:{1,3,4,6}:{(1,1),(5,1),(6,1),(40,1),(57,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(18,1)}
       4:{1,3,4,5,6}:{(8,1),(19,1),(25,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(30,1),(33,1),(47,1),(53,1),(59,1)}
       6:{1,3,5}:{(2,1),(3,1),(12,1)}
       7:{1,2,4,5,6}:{(3,1),(13,1),(16,1),(30,1),(36,1),(50,1),(52,1),(58,1)}
       8:{2,4,5,6}:{(4,1),(15,1),(16,1),(30,1),(36,1)}
       9:{1,3,4,5}:{(6,1),(18,1),(19,1)}
      10:{1,2,3,6}:{(17,1),(20,1),(57,1)}
      11:{1,3,4,6}:{(5,1),(20,1),(21,1),(40,1),(42,1),(57,1)}
      12:{2,3,5}:{(5,1),(6,1),(18,1),(21,1)}
      13:{1,3,5,6}:{(6,1),(7,1),(19,1),(22,1),(57,1)}
      14:{2,3,4,5}:{(18,1),(23,1),(24,1),(55,1)}
      15:{2,3,5,6}:{(8,1),(24,1),(25,1)}
      16:{1,4,5,6}:{(8,1),(25,1),(42,1)}
      17:{1,2,3,5}:{(10,1),(28,1),(31,1),(51,1)}
      18:{2,4,5}:{(9,1),(12,1),(29,1),(30,1)}
      19:{1,3,4,6}:{(9,1),(13,1),(30,1)}
      20:{1,2,4,6}:{(10,1),(11,1),(28,1),(31,1)}
      21:{1,3,5}:{(11,1),(12,1),(29,1),(31,1)}
      22:{2,3,5,6}:{(12,1),(13,1),(30,1),(32,1),(36,1),(53,1),(58,1),(59,1)}
      23:{1,3,4,5}:{(14,1),(29,1),(34,1),(35,1),(51,1)}
      24:{2,3,4,6}:{(14,1),(15,1),(30,1),(35,1),(59,1)}
      25:{1,3,5,6}:{(15,1),(16,1),(35,1),(36,1)}
      26:{2,3,4,5}:{(18,1),(37,1),(38,1),(44,1)}
      27:{1,3,4,5,6}:{(19,1),(39,1),(54,1)}
      28:{1,2,4}:{(17,1),(40,1)}
      29:{1,4,5}:{(18,1),(21,1),(42,1)}
      30:{2,4,6}:{(18,1),(19,1),(22,1),(42,1)}
      31:{1,2,5}:{(20,1),(21,1)}
      32:{1,3,5,6}:{(21,1),(22,1),(42,1),(43,1),(57,1)}
      33:{2,3,4}:{(40,1),(44,1)}
      34:{2,4,5}:{(23,1),(44,1),(45,1)}
      35:{1,3,4,6}:{(23,1),(24,1),(25,1),(42,1),(45,1),(57,1)}
      36:{2,5,6}:{(25,1),(45,1)}
      37:{1,3,4,5}:{(26,1),(29,1),(48,1),(49,1),(51,1)}
      38:{2,3,4,6}:{(26,1),(30,1),(46,1),(49,1),(53,1)}
      39:{2,4,5,6}:{(27,1),(30,1),(46,1),(50,1),(58,1)}
      40:{1,3,4}:{(28,1),(33,1),(47,1),(51,1)}
      41:{1,2,4,5}:{(28,1),(29,1),(31,1),(34,1),(48,1),(51,1),(52,1)}
      42:{1,4,6}:{(29,1),(30,1),(32,1)}
      43:{1,2,5,6}:{(31,1),(32,1),(36,1),(52,1),(58,1)}
      44:{2,3,5}:{(33,1),(34,1),(51,1),(53,1)}
      45:{2,4,6}:{(34,1),(35,1),(36,1),(53,1)}
      46:{2,3,5,6}:{(38,1),(39,1),(54,1)}
      47:{2,3,4}:{(40,1),(55,1)}
      48:{2,4,5}:{(37,1),(55,1),(56,1)}
      49:{1,3,4,6}:{(37,1),(38,1),(42,1),(54,1),(56,1),(57,1)}
      50:{1,4,5,6}:{(39,1),(42,1),(54,1)}
      51:{1,3,5}:{(40,1),(41,1),(44,1),(55,1),(57,1)}
      52:{1,2,4,6}:{(41,1),(42,1),(43,1),(45,1),(56,1),(57,1)}
      53:{2,3,6}:{(44,1),(45,1),(57,1)}
      54:{1,3,5,6}:{(46,1),(49,1),(50,1),(58,1)}
      55:{2,3,5}:{(47,1),(48,1),(51,1),(59,1)}
      56:{2,4,6}:{(48,1),(49,1),(58,1),(59,1)}
      57:{1,3,6}:{(51,1),(52,1),(53,1),(59,1)}
      58:{2,5,6}:{(54,1),(56,1)}
      59:{2,3,6}:{(55,1),(56,1),(57,1)}

662 :  0:{1,3,4,5,6}:{(1,1),(7,1),(18,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(24,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(26,1),(31,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(24,1),(32,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(20,1),(36,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1)}
       8:{1,2,4,5,6}:{(4,1),(11,1),(12,1),(19,1),(24,1),(36,1),(39,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(14,1),(27,1),(30,1)}
      10:{2,4,5}:{(6,1),(14,1),(15,1)}
      11:{2,5,6}:{(7,1),(14,1)}
      12:{1,3,5,6}:{(8,1),(17,1),(18,1),(27,1),(38,1)}
      13:{1,2,4,5}:{(10,1),(19,1),(20,1),(33,1),(36,1),(39,1)}
      14:{2,4,6}:{(9,1),(10,1),(11,1),(21,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(39,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(21,1),(23,1),(24,1),(32,1),(35,1),(39,1)}
      18:{1,3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(27,1),(30,1),(37,1)}
      20:{1,3,5}:{(13,1),(15,1),(26,1),(27,1),(28,1)}
      21:{2,3,6}:{(14,1),(15,1),(27,1)}
      22:{2,3,4}:{(15,1),(28,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(27,1),(30,1),(38,1)}
      24:{2,4,6}:{(17,1),(18,1),(30,1),(31,1)}
      25:{1,3,4,5}:{(18,1),(31,1),(38,1)}
      26:{2,3,5}:{(20,1),(32,1),(33,1),(39,1)}
      27:{1,3,6}:{(19,1),(20,1),(21,1),(32,1)}
      28:{1,3,4}:{(20,1),(22,1),(33,1)}
      29:{2,3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      30:{1,4,6}:{(23,1),(24,1),(36,1)}
      31:{2,4,5}:{(24,1),(25,1),(35,1),(36,1),(39,1)}
      32:{2,3,6}:{(26,1),(27,1),(37,1)}
      33:{2,4}:{(26,1),(28,1)}
      34:{1,3,4,6}:{(27,1),(28,1),(29,1),(30,1),(37,1),(38,1)}
      35:{2,3,5}:{(29,1),(31,1),(38,1)}
      36:{1,4,5}:{(30,1),(31,1),(38,1)}
      37:{2,4,6}:{(32,1),(33,1),(34,1),(39,1)}
      38:{1,3,5}:{(34,1),(35,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

663 :  0:{1,3,4,5,6}:{(2,1),(6,1),(9,1)}
       1:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(15,1),(24,1),(25,1),(33,1)}
       2:{2,4,5,6}:{(0,1),(4,1),(5,1),(11,1),(15,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(7,1),(28,1),(31,1)}
       4:{2,3,5,6}:{(2,1),(8,1),(9,1)}
       5:{1,4,5,6}:{(2,1),(9,1),(18,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(11,1)}
       7:{2,3,5,6}:{(3,1),(11,1),(12,1),(15,1),(22,1),(27,1),(33,1),(34,1)}
       8:{2,3,4,6}:{(4,1),(11,1),(13,1),(14,1),(34,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1)}
      10:{1,3,4,5}:{(6,1),(17,1),(28,1)}
      11:{2,4,6}:{(6,1),(7,1),(17,1),(18,1)}
      12:{1,3,5,6}:{(7,1),(18,1),(19,1),(28,1),(31,1)}
      13:{2,3,4,5}:{(8,1),(17,1),(20,1),(37,1)}
      14:{1,3,4,6}:{(8,1),(9,1),(18,1),(20,1),(21,1),(31,1)}
      15:{2,5,6}:{(9,1),(21,1)}
      16:{2,3,4,6}:{(11,1),(22,1),(23,1),(27,1),(36,1)}
      17:{2,4,5}:{(10,1),(11,1),(22,1),(24,1),(33,1)}
      18:{1,4,6}:{(11,1),(12,1),(24,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(25,1),(33,1)}
      20:{1,3,4,5}:{(13,1),(14,1),(24,1),(26,1),(35,1)}
      21:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      22:{2,3,5}:{(16,1),(17,1),(28,1)}
      23:{1,3,4,6}:{(16,1),(18,1),(28,1),(29,1),(31,1),(38,1)}
      24:{1,4,5}:{(17,1),(18,1),(28,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(29,1),(30,1),(31,1)}
      26:{2,4,5}:{(20,1),(21,1),(32,1)}
      27:{2,3,6}:{(21,1),(31,1),(32,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(33,1)}
      29:{2,4,6}:{(23,1),(33,1),(34,1),(39,1)}
      30:{1,2,4,5}:{(24,1),(25,1),(26,1),(33,1),(35,1),(39,1)}
      31:{1,3,6}:{(25,1),(27,1),(34,1),(35,1)}
      32:{2,3,5}:{(26,1),(27,1),(35,1),(36,1)}
      33:{2,5}:{(28,1),(29,1)}
      34:{2,3,6}:{(29,1),(31,1),(37,1)}
      35:{1,3,5}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{2,3,4}:{(32,1),(38,1)}
      37:{2,3,5}:{(33,1),(34,1),(35,1),(39,1)}
      38:{1,3,4}:{(35,1),(36,1),(39,1)}
      39:{2,4}:{(37,1),(38,1)}

664 :  0:{2,3,4,5,6}:{(1,1),(7,1),(25,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(28,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(31,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(11,1),(19,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(27,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
       6:{2,3,4,6}:{(4,1),(8,1),(9,1)}
       7:{2,3,5,6}:{(5,1),(11,1),(20,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(11,1),(12,1)}
       9:{2,3,4,5}:{(6,1),(12,1),(27,1)}
      10:{1,2,3,5,6}:{(7,1),(14,1),(23,1),(32,1)}
      11:{2,4,6}:{(7,1),(8,1),(16,1)}
      12:{1,3,4,5}:{(8,1),(9,1),(16,1),(23,1)}
      13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
      15:{2,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(20,1)}
      17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
      18:{1,3,4,6}:{(14,1),(15,1),(22,1),(23,1)}
      19:{1,2,4,5}:{(14,1),(16,1),(23,1),(31,1)}
      20:{2,3,5}:{(15,1),(16,1),(23,1)}
      21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
      22:{2,3,4,6}:{(18,1),(27,1),(34,1)}
      23:{1,3,5}:{(18,1),(19,1),(20,1),(27,1)}
      24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
      25:{2,3,4,5}:{(20,1),(28,1),(30,1)}
      26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
      27:{2,3,5}:{(22,1),(23,1),(31,1)}
      28:{1,3,4,5}:{(23,1),(25,1),(31,1),(33,1)}
      29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
      30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
      31:{2,4,5}:{(27,1),(28,1),(34,1)}
      32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,6}:{(31,1),(32,1),(33,1)}

665 :  0:{1,2,3,5,6}:{(1,1),(7,1),(22,1),(62,1),(63,1),(73,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(32,1),(70,1)}
       2:{1,2,3,5,6}:{(5,1),(17,1),(39,1),(47,1),(48,1),(66,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(21,1)}
       4:{1,3,4,6}:{(1,1),(7,1),(8,1),(73,1),(74,1)}
       5:{1,2,4,6}:{(2,1),(9,1),(10,1),(49,1),(59,1)}
       6:{1,2,4,5,6}:{(3,1),(13,1),(31,1),(32,1),(56,1),(68,1)}
       7:{1,3,5}:{(3,1),(4,1),(14,1)}
       8:{2,3,4,6}:{(4,1),(14,1),(15,1),(32,1),(71,1),(72,1)}
       9:{1,2,4,5}:{(5,1),(17,1),(38,1)}
      10:{1,3,4,6}:{(5,1),(17,1),(18,1),(66,1),(67,1)}
      11:{1,3,4,5,6}:{(19,1),(20,1),(37,1),(44,1)}
      12:{1,3,4,5}:{(7,1),(20,1),(21,1)}
      13:{1,3,5,6}:{(6,1),(7,1),(20,1),(22,1),(73,1)}
      14:{2,3,5}:{(7,1),(8,1),(21,1),(23,1)}
      15:{1,3,4,6}:{(8,1),(23,1),(24,1),(45,1),(66,1),(67,1)}
      16:{1,2,4,5,6}:{(9,1),(26,1),(31,1),(49,1),(56,1),(57,1)}
      17:{1,3,5}:{(9,1),(10,1),(27,1)}
      18:{2,3,4,6}:{(10,1),(27,1),(28,1),(49,1),(71,1),(72,1)}
      19:{2,4,5,6}:{(11,1),(30,1),(31,1),(32,1),(49,1),(56,1)}
      20:{1,3,4,6}:{(12,1),(13,1),(32,1)}
      21:{2,4,5}:{(12,1),(14,1),(32,1),(33,1)}
      22:{2,3,5,6}:{(13,1),(14,1),(32,1),(34,1),(56,1),(71,1)}
      23:{1,3,5}:{(14,1),(15,1),(33,1),(35,1)}
      24:{1,2,4,6}:{(15,1),(35,1),(36,1),(59,1)}
      25:{1,3,4,5}:{(17,1),(37,1),(38,1)}
      26:{1,3,5,6}:{(16,1),(17,1),(37,1),(39,1),(66,1)}
      27:{2,3,5}:{(17,1),(18,1),(38,1),(40,1)}
      28:{1,3,4,6}:{(18,1),(40,1),(41,1),(60,1),(73,1),(74,1)}
      29:{2,3,4,5}:{(21,1),(38,1),(42,1),(43,1),(65,1)}
      30:{2,3,5,6}:{(19,1),(42,1),(44,1)}
      31:{1,4,5,6}:{(19,1),(44,1),(45,1),(60,1)}
      32:{2,4,6}:{(20,1),(21,1),(22,1),(45,1)}
      33:{1,4,5}:{(21,1),(23,1),(45,1)}
      34:{1,3,5,6}:{(22,1),(23,1),(45,1),(47,1),(66,1)}
      35:{1,2,5}:{(23,1),(24,1)}
      36:{1,2,3,6}:{(24,1),(48,1),(66,1)}
      37:{1,3,4,6}:{(25,1),(26,1),(49,1)}
      38:{2,4,5}:{(25,1),(27,1),(49,1),(50,1)}
      39:{2,3,5,6}:{(26,1),(27,1),(49,1),(51,1),(56,1),(71,1)}
      40:{1,3,5}:{(27,1),(28,1),(50,1),(52,1)}
      41:{1,2,4,6}:{(28,1),(52,1),(53,1),(70,1)}
      42:{2,3,4,6}:{(29,1),(30,1),(32,1),(49,1),(54,1),(71,1)}
      43:{1,3,4,5}:{(29,1),(33,1),(50,1),(54,1),(55,1),(58,1),(69,1)}
      44:{1,3,5,6}:{(30,1),(31,1),(54,1),(56,1)}
      45:{1,4,6}:{(32,1),(33,1),(34,1)}
      46:{1,2,4,5}:{(33,1),(35,1),(55,1),(57,1),(58,1),(59,1)}
      47:{1,2,5,6}:{(34,1),(35,1),(56,1),(57,1)}
      48:{1,2,3,5}:{(35,1),(36,1),(58,1),(59,1)}
      49:{2,4,6}:{(37,1),(38,1),(39,1),(60,1)}
      50:{1,4,5}:{(38,1),(40,1),(60,1)}
      51:{1,3,5,6}:{(39,1),(40,1),(60,1),(62,1),(73,1)}
      52:{1,2,5}:{(40,1),(41,1)}
      53:{1,2,3,6}:{(41,1),(63,1),(73,1)}
      54:{1,3,4,6}:{(42,1),(43,1),(44,1),(45,1),(60,1),(64,1),(66,1),(73,1)}
      55:{2,4,5}:{(43,1),(64,1),(65,1)}
      56:{2,5,6}:{(44,1),(64,1)}
      57:{1,2,4,6}:{(45,1),(46,1),(47,1),(64,1),(66,1)}
      58:{1,3,5}:{(46,1),(65,1),(66,1),(67,1)}
      59:{1,2,4}:{(48,1),(67,1)}
      60:{1,4,6}:{(49,1),(50,1),(51,1)}
      61:{1,2,4,5}:{(50,1),(52,1),(55,1),(68,1),(69,1),(70,1)}
      62:{1,2,5,6}:{(51,1),(52,1),(56,1),(68,1)}
      63:{1,2,3,5}:{(52,1),(53,1),(69,1),(70,1)}
      64:{2,4,6}:{(54,1),(55,1),(56,1),(71,1)}
      65:{2,3,5}:{(55,1),(58,1),(69,1),(71,1),(72,1)}
      66:{1,3,6}:{(57,1),(58,1),(71,1)}
      67:{1,3,4}:{(58,1),(59,1),(72,1)}
      68:{1,2,4,6}:{(60,1),(61,1),(62,1),(64,1),(73,1)}
      69:{1,3,5}:{(61,1),(65,1),(73,1),(74,1)}
      70:{1,2,4}:{(63,1),(74,1)}
      71:{2,3,6}:{(64,1),(65,1),(66,1),(73,1)}
      72:{2,3,4}:{(65,1),(67,1),(74,1)}
      73:{1,3,6}:{(68,1),(69,1),(71,1)}
      74:{1,3,4}:{(69,1),(70,1),(72,1)}

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

667 :  0:{1,2,3,4,6}:{(1,1),(4,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(9,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{1,3,4,5}:{(3,1),(7,1),(8,1)}
       6:{1,2,4,5,6}:{(4,1),(9,1),(16,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{2,3,4,5}:{(5,1),(10,1),(11,1)}
       9:{1,3,5,6}:{(6,1),(7,1),(13,1)}
      10:{2,3,4,6}:{(7,1),(8,1),(13,1),(14,1)}
      11:{1,3,4,5}:{(8,1),(14,1),(15,1)}
      12:{1,3,4,5,6}:{(9,1),(16,1)}
      13:{2,3,5,6}:{(9,1),(10,1),(16,1),(17,1)}
      14:{1,3,4,6}:{(10,1),(11,1),(17,1),(18,1)}
      15:{1,2,4,5}:{(11,1),(18,1),(19,1)}
      16:{2,4,5,6}:{(12,1),(13,1),(20,1)}
      17:{1,3,5,6}:{(13,1),(14,1),(20,1),(21,1)}
      18:{1,2,4,6}:{(14,1),(15,1),(21,1),(22,1)}
      19:{1,2,3,5}:{(15,1),(22,1),(23,1)}
      20:{1,4,5,6}:{(16,1),(17,1)}
      21:{1,2,5,6}:{(17,1),(18,1)}
      22:{1,2,3,6}:{(18,1),(19,1)}
      23:{1,2,3,4}:{(19,1)}

668 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
       2:{1,2,3,4}:{(5,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
       4:{1,2,3,6}:{(1,1),(7,1)}
       5:{1,2,3,5}:{(2,1),(8,1),(9,1)}
       6:{1,3,4,5}:{(3,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,2,4,5}:{(5,1),(13,1),(14,1)}
       9:{1,2,3,6}:{(5,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(13,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(7,1),(15,1),(16,1)}
      12:{1,2,5,6}:{(7,1),(16,1)}
      13:{1,3,4,5}:{(8,1),(10,1),(17,1)}
      14:{1,2,4,6}:{(8,1),(9,1),(17,1),(18,1)}
      15:{2,3,4,6}:{(10,1),(11,1),(17,1),(19,1)}
      16:{1,3,5,6}:{(11,1),(12,1),(19,1),(20,1)}
      17:{1,3,4,6}:{(13,1),(14,1),(15,1),(21,1)}
      18:{1,2,5,6}:{(14,1),(21,1)}
      19:{2,3,5,6}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,4,5,6}:{(16,1),(22,1)}
      21:{1,3,5,6}:{(17,1),(18,1),(19,1),(23,1)}
      22:{2,4,5,6}:{(19,1),(20,1),(23,1),(24,1)}
      23:{1,4,5,6}:{(21,1),(22,1)}
      24:{3,4,5,6}:{(22,1)}

669 :  0:{1,3,4,5,6}:{(2,1),(6,1),(9,1)}
       1:{1,2,4,5,6}:{(3,1),(5,1),(11,1),(15,1),(24,1),(25,1),(33,1)}
       2:{2,4,5,6}:{(0,1),(4,1),(5,1),(11,1),(15,1)}
       3:{1,3,5,6}:{(1,1),(6,1),(7,1),(28,1),(31,1)}
       4:{2,3,5,6}:{(2,1),(8,1),(9,1)}
       5:{1,4,5,6}:{(2,1),(9,1),(18,1)}
       6:{1,3,4,6}:{(3,1),(10,1),(11,1)}
       7:{2,3,5,6}:{(3,1),(11,1),(12,1),(15,1),(22,1),(27,1),(33,1),(34,1)}
       8:{2,3,4,6}:{(4,1),(11,1),(13,1),(14,1),(34,1)}
       9:{1,3,5,6}:{(4,1),(5,1),(14,1),(15,1)}
      10:{1,3,4,5}:{(6,1),(17,1),(28,1)}
      11:{2,4,6}:{(6,1),(7,1),(17,1),(18,1)}
      12:{1,3,5,6}:{(7,1),(18,1),(19,1),(28,1),(31,1)}
      13:{2,3,4,5}:{(8,1),(17,1),(20,1),(37,1)}
      14:{1,3,4,6}:{(8,1),(9,1),(18,1),(20,1),(21,1),(31,1)}
      15:{2,5,6}:{(9,1),(21,1)}
      16:{2,3,4,6}:{(11,1),(22,1),(23,1),(27,1),(36,1)}
      17:{2,4,5}:{(10,1),(11,1),(22,1),(24,1),(33,1)}
      18:{1,4,6}:{(11,1),(12,1),(24,1)}
      19:{1,2,5,6}:{(12,1),(15,1),(25,1),(33,1)}
      20:{1,3,4,5}:{(13,1),(14,1),(24,1),(26,1),(35,1)}
      21:{2,4,6}:{(14,1),(15,1),(26,1),(27,1)}
      22:{2,3,5}:{(16,1),(17,1),(28,1)}
      23:{1,3,4,6}:{(16,1),(18,1),(28,1),(29,1),(31,1),(38,1)}
      24:{1,4,5}:{(17,1),(18,1),(28,1)}
      25:{1,2,4,6}:{(18,1),(19,1),(21,1),(29,1),(30,1),(31,1)}
      26:{2,4,5}:{(20,1),(21,1),(32,1)}
      27:{2,3,6}:{(21,1),(31,1),(32,1)}
      28:{1,3,5}:{(22,1),(23,1),(24,1),(33,1)}
      29:{2,4,6}:{(23,1),(33,1),(34,1),(39,1)}
      30:{1,2,4,5}:{(24,1),(25,1),(26,1),(33,1),(35,1),(39,1)}
      31:{1,3,6}:{(25,1),(27,1),(34,1),(35,1)}
      32:{2,3,5}:{(26,1),(27,1),(35,1),(36,1)}
      33:{2,5}:{(28,1),(29,1)}
      34:{2,3,6}:{(29,1),(31,1),(37,1)}
      35:{1,3,5}:{(30,1),(31,1),(32,1),(37,1),(38,1)}
      36:{2,3,4}:{(32,1),(38,1)}
      37:{2,3,5}:{(33,1),(34,1),(35,1),(39,1)}
      38:{1,3,4}:{(35,1),(36,1),(39,1)}
      39:{2,4}:{(37,1),(38,1)}

670 :  0:{2,3,4,5,6}:{(1,1),(7,1),(25,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(28,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(31,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(11,1),(19,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(27,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
       6:{2,3,4,6}:{(4,1),(8,1),(9,1)}
       7:{2,3,5,6}:{(5,1),(11,1),(20,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(11,1),(12,1)}
       9:{2,3,4,5}:{(6,1),(12,1),(27,1)}
      10:{1,2,3,5,6}:{(7,1),(14,1),(23,1),(32,1)}
      11:{2,4,6}:{(7,1),(8,1),(16,1)}
      12:{1,3,4,5}:{(8,1),(9,1),(16,1),(23,1)}
      13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
      15:{2,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(20,1)}
      17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
      18:{1,3,4,6}:{(14,1),(15,1),(22,1),(23,1)}
      19:{1,2,4,5}:{(14,1),(16,1),(23,1),(31,1)}
      20:{2,3,5}:{(15,1),(16,1),(23,1)}
      21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
      22:{2,3,4,6}:{(18,1),(27,1),(34,1)}
      23:{1,3,5}:{(18,1),(19,1),(20,1),(27,1)}
      24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
      25:{2,3,4,5}:{(20,1),(28,1),(30,1)}
      26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
      27:{2,3,5}:{(22,1),(23,1),(31,1)}
      28:{1,3,4,5}:{(23,1),(25,1),(31,1),(33,1)}
      29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
      30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
      31:{2,4,5}:{(27,1),(28,1),(34,1)}
      32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,6}:{(31,1),(32,1),(33,1)}

671 :  0:{1,3,4,5,6}:{(1,1),(7,1),(18,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(24,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(28,1),(31,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(24,1),(32,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(21,1),(36,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1)}
       8:{1,2,4,5,6}:{(4,1),(11,1),(12,1),(19,1),(24,1),(36,1),(39,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(13,1),(26,1),(30,1)}
      10:{2,4,5}:{(6,1),(13,1),(15,1)}
      11:{2,5,6}:{(7,1),(13,1)}
      12:{1,3,5,6}:{(8,1),(17,1),(18,1),(26,1),(38,1)}
      13:{2,4,6}:{(9,1),(10,1),(11,1),(20,1)}
      14:{1,2,4,5}:{(10,1),(19,1),(21,1),(35,1),(36,1),(39,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(39,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(20,1),(23,1),(24,1),(32,1),(34,1),(39,1)}
      18:{1,3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(26,1),(30,1),(37,1)}
      20:{2,3,6}:{(13,1),(15,1),(26,1)}
      21:{1,3,5}:{(14,1),(15,1),(26,1),(28,1),(29,1)}
      22:{2,3,4}:{(15,1),(29,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(26,1),(30,1),(38,1)}
      24:{2,4,6}:{(17,1),(18,1),(30,1),(31,1)}
      25:{1,3,4,5}:{(18,1),(31,1),(38,1)}
      26:{1,3,6}:{(19,1),(20,1),(21,1),(32,1)}
      27:{2,3,4,6}:{(20,1),(22,1),(24,1),(33,1),(34,1)}
      28:{2,3,5}:{(21,1),(32,1),(35,1),(39,1)}
      29:{1,3,4}:{(21,1),(22,1),(35,1)}
      30:{1,4,6}:{(23,1),(24,1),(36,1)}
      31:{2,4,5}:{(24,1),(25,1),(34,1),(36,1),(39,1)}
      32:{2,3,6}:{(26,1),(28,1),(37,1)}
      33:{1,3,4,6}:{(26,1),(27,1),(29,1),(30,1),(37,1),(38,1)}
      34:{2,3,5}:{(27,1),(31,1),(38,1)}
      35:{2,4}:{(28,1),(29,1)}
      36:{1,4,5}:{(30,1),(31,1),(38,1)}
      37:{2,4,6}:{(32,1),(33,1),(35,1),(39,1)}
      38:{1,3,5}:{(33,1),(34,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

672 :  0:{1,2,3,5,6}:{(1,1),(6,1),(18,1),(39,1),(40,1),(55,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(26,1),(49,1)}
       2:{1,2,4,5}:{(1,1),(6,1),(17,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(55,1),(56,1)}
       4:{1,3,4,5,6}:{(8,1),(16,1),(23,1)}
       5:{1,2,4,5,6}:{(2,1),(10,1),(15,1),(26,1),(33,1),(46,1),(47,1),(57,1)}
       6:{1,3,5}:{(2,1),(3,1),(11,1)}
       7:{2,3,4,6}:{(3,1),(11,1),(12,1),(26,1),(50,1),(51,1),(58,1),(59,1)}
       8:{2,4,5,6}:{(4,1),(14,1),(15,1),(26,1),(33,1)}
       9:{1,3,4,5}:{(6,1),(16,1),(17,1)}
      10:{1,3,5,6}:{(5,1),(6,1),(16,1),(18,1),(55,1)}
      11:{2,3,5}:{(6,1),(7,1),(17,1),(19,1)}
      12:{1,3,4,6}:{(7,1),(19,1),(20,1),(37,1),(55,1),(56,1)}
      13:{2,3,4,5}:{(17,1),(21,1),(22,1),(54,1)}
      14:{2,3,5,6}:{(8,1),(21,1),(23,1)}
      15:{1,4,5,6}:{(8,1),(23,1),(37,1)}
      16:{1,3,4,6}:{(9,1),(10,1),(26,1)}
      17:{2,4,5}:{(9,1),(11,1),(26,1),(27,1)}
      18:{2,3,5,6}:{(10,1),(11,1),(26,1),(28,1),(33,1),(50,1),(57,1),(58,1)}
      19:{1,3,5}:{(11,1),(12,1),(27,1),(29,1)}
      20:{1,2,4,6}:{(12,1),(29,1),(30,1),(49,1)}
      21:{2,3,4,6}:{(13,1),(14,1),(26,1),(31,1),(58,1)}
      22:{1,3,4,5}:{(13,1),(27,1),(31,1),(32,1),(48,1)}
      23:{1,3,5,6}:{(14,1),(15,1),(31,1),(33,1)}
      24:{2,3,4,5}:{(17,1),(34,1),(35,1),(42,1)}
      25:{1,3,4,5,6}:{(16,1),(36,1),(52,1)}
      26:{2,4,6}:{(16,1),(17,1),(18,1),(37,1)}
      27:{1,4,5}:{(17,1),(19,1),(37,1)}
      28:{1,3,5,6}:{(18,1),(19,1),(37,1),(39,1),(55,1)}
      29:{1,2,5}:{(19,1),(20,1)}
      30:{1,2,3,6}:{(20,1),(40,1),(55,1)}
      31:{1,3,4,6}:{(21,1),(22,1),(23,1),(37,1),(41,1),(55,1)}
      32:{2,4,5}:{(22,1),(41,1),(42,1)}
      33:{2,5,6}:{(23,1),(41,1)}
      34:{2,3,4,6}:{(24,1),(26,1),(43,1),(44,1),(50,1)}
      35:{1,3,4,5}:{(24,1),(27,1),(44,1),(45,1),(48,1)}
      36:{2,4,5,6}:{(25,1),(26,1),(43,1),(46,1),(57,1)}
      37:{1,4,6}:{(26,1),(27,1),(28,1)}
      38:{1,2,4,5}:{(27,1),(29,1),(32,1),(45,1),(47,1),(48,1),(49,1)}
      39:{1,2,5,6}:{(28,1),(29,1),(33,1),(47,1),(57,1)}
      40:{1,2,3,5}:{(29,1),(30,1),(48,1),(49,1)}
      41:{2,4,6}:{(31,1),(32,1),(33,1),(50,1)}
      42:{2,3,5}:{(32,1),(48,1),(50,1),(51,1)}
      43:{2,3,5,6}:{(34,1),(36,1),(52,1)}
      44:{1,3,4,6}:{(34,1),(35,1),(37,1),(52,1),(53,1),(55,1)}
      45:{2,4,5}:{(35,1),(53,1),(54,1)}
      46:{1,4,5,6}:{(36,1),(37,1),(52,1)}
      47:{1,2,4,6}:{(37,1),(38,1),(39,1),(41,1),(53,1),(55,1)}
      48:{1,3,5}:{(38,1),(42,1),(54,1),(55,1),(56,1)}
      49:{1,2,4}:{(40,1),(56,1)}
      50:{2,3,6}:{(41,1),(42,1),(55,1)}
      51:{2,3,4}:{(42,1),(56,1)}
      52:{1,3,5,6}:{(43,1),(44,1),(46,1),(57,1)}
      53:{2,4,6}:{(44,1),(45,1),(57,1),(58,1)}
      54:{2,3,5}:{(45,1),(48,1),(58,1),(59,1)}
      55:{1,3,6}:{(47,1),(48,1),(50,1),(58,1)}
      56:{1,3,4}:{(48,1),(49,1),(51,1),(59,1)}
      57:{2,5,6}:{(52,1),(53,1)}
      58:{2,3,6}:{(53,1),(54,1),(55,1)}
      59:{2,3,4}:{(54,1),(56,1)}

673 :  0:{3,4,5,6}:{(2,1),(61,1)}
       1:{2,3,4,5}:{(4,1),(5,1),(38,1),(51,1)}
       2:{2,4,5,6}:{(0,1),(7,1),(8,1),(58,1)}
       3:{1,2,3,5}:{(6,1),(9,1),(22,1),(28,1)}
       4:{1,3,4,5}:{(1,1),(11,1),(12,1),(25,1),(28,1),(43,1)}
       5:{2,3,4,6}:{(1,1),(7,1),(12,1),(48,1),(58,1)}
       6:{1,2,3,6}:{(3,1),(13,1),(40,1)}
       7:{2,3,5,6}:{(2,1),(5,1),(15,1)}
       8:{1,4,5,6}:{(2,1),(15,1),(16,1),(53,1)}
       9:{1,2,4}:{(3,1),(17,1)}
      10:{2,3,4}:{(17,1),(19,1)}
      11:{2,4,5}:{(4,1),(19,1),(20,1)}
      12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(37,1),(40,1),(53,1)}
      13:{1,2,4,6}:{(6,1),(9,1),(21,1),(22,1)}
      14:{2,3,4,6}:{(10,1),(21,1),(23,1),(31,1),(45,1)}
      15:{1,3,5,6}:{(7,1),(8,1),(12,1),(24,1),(26,1)}
      16:{2,4,5,6}:{(8,1),(24,1),(26,1),(45,1)}
      17:{1,3,4}:{(9,1),(10,1),(27,1),(28,1)}
      18:{1,2,4,5}:{(9,1),(11,1),(22,1),(28,1),(29,1),(43,1),(47,1)}
      19:{2,3,5}:{(10,1),(11,1),(28,1),(31,1)}
      20:{2,4,6}:{(11,1),(12,1),(24,1),(31,1)}
      21:{1,3,4,6}:{(13,1),(14,1),(17,1),(32,1),(33,1),(40,1),(53,1)}
      22:{1,2,5}:{(13,1),(33,1)}
      23:{2,3,5}:{(14,1),(33,1),(35,1)}
      24:{2,5,6}:{(15,1),(20,1)}
      25:{3,4,5}:{(35,1),(37,1)}
      26:{3,5,6}:{(16,1),(37,1)}
      27:{2,3,4}:{(17,1),(38,1)}
      28:{1,3,5}:{(17,1),(18,1),(19,1),(38,1),(40,1)}
      29:{1,2,4,6}:{(18,1),(20,1),(34,1),(40,1),(53,1),(55,1)}
      30:{2,3,4,5}:{(19,1),(35,1),(39,1),(41,1)}
      31:{2,3,6}:{(19,1),(20,1),(40,1)}
      32:{2,3,4,6}:{(21,1),(27,1),(42,1),(48,1),(58,1)}
      33:{1,3,5}:{(21,1),(22,1),(23,1),(42,1),(43,1)}
      34:{1,2,5,6}:{(22,1),(24,1),(29,1),(44,1),(60,1)}
      35:{2,4,5}:{(23,1),(25,1),(43,1),(45,1)}
      36:{2,3,5,6}:{(23,1),(24,1),(26,1),(31,1),(44,1),(45,1)}
      37:{3,4,6}:{(25,1),(26,1),(45,1)}
      38:{2,3,5}:{(27,1),(28,1),(47,1),(48,1)}
      39:{1,3,4,5}:{(28,1),(30,1),(43,1),(47,1),(49,1),(57,1)}
      40:{1,3,6}:{(28,1),(29,1),(31,1),(48,1)}
      41:{2,3,4,6}:{(30,1),(31,1),(45,1),(49,1),(50,1)}
      42:{2,3,5}:{(32,1),(33,1),(51,1)}
      43:{1,4,5}:{(33,1),(35,1),(51,1),(53,1)}
      44:{1,3,5,6}:{(33,1),(34,1),(36,1),(40,1),(52,1),(53,1)}
      45:{2,4,6}:{(35,1),(36,1),(37,1),(53,1)}
      46:{3,4,5,6}:{(37,1),(54,1)}
      47:{2,4,5}:{(38,1),(39,1),(55,1)}
      48:{2,3,6}:{(38,1),(40,1),(55,1)}
      49:{1,3,4,6}:{(39,1),(40,1),(41,1),(53,1),(55,1),(56,1),(61,1)}
      50:{2,3,5,6}:{(41,1),(54,1),(56,1)}
      51:{2,4,5}:{(42,1),(43,1),(57,1),(58,1)}
      52:{2,3,5,6}:{(42,1),(44,1),(48,1),(58,1),(60,1),(63,1)}
      53:{1,4,6}:{(43,1),(44,1),(45,1),(58,1)}
      54:{2,4,5,6}:{(45,1),(46,1),(50,1),(59,1)}
      55:{2,4,6}:{(47,1),(48,1),(49,1),(60,1)}
      56:{1,3,5,6}:{(49,1),(50,1),(59,1),(60,1),(63,1)}
      57:{3,4,5}:{(51,1),(61,1)}
      58:{2,4,6}:{(51,1),(52,1),(53,1),(61,1)}
      59:{1,4,5,6}:{(53,1),(54,1),(56,1),(62,1)}
      60:{2,5,6}:{(55,1),(56,1)}
      61:{3,4,6}:{(57,1),(58,1),(63,1)}
      62:{2,4,5,6}:{(58,1),(59,1),(60,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

674 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
       3:{1,2,3,6}:{(1,1),(6,1)}
       4:{2,3,4,5}:{(5,1),(7,1)}
       5:{1,3,4,5}:{(2,1),(4,1),(8,1),(9,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(9,1),(10,1)}
       7:{2,3,4,6}:{(4,1),(9,1),(11,1)}
       8:{2,3,4,5}:{(5,1),(12,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(12,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(13,1)}
      11:{2,3,5,6}:{(7,1),(13,1),(14,1)}
      12:{2,3,4,6}:{(8,1),(9,1),(15,1)}
      13:{1,3,5,6}:{(9,1),(10,1),(11,1),(15,1),(16,1)}
      14:{2,4,5,6}:{(11,1),(16,1),(17,1)}
      15:{2,3,5,6}:{(12,1),(13,1),(18,1)}
      16:{1,4,5,6}:{(13,1),(14,1),(18,1)}
      17:{3,4,5,6}:{(14,1)}
      18:{2,4,5,6}:{(15,1),(16,1),(19,1)}
      19:{3,4,5,6}:{(18,1)}

675 :  0:{2,3,4,5}:{(2,1),(3,1),(38,1),(56,1)}
       1:{1,2,3,5}:{(5,1),(6,1),(28,1),(29,1)}
       2:{1,3,4,5}:{(0,1),(10,1),(11,1),(29,1),(50,1),(52,1)}
       3:{2,3,4,6}:{(0,1),(8,1),(11,1),(49,1),(62,1)}
       4:{2,3,4,5}:{(12,1),(13,1),(20,1),(44,1)}
       5:{1,2,3,6}:{(1,1),(14,1),(42,1)}
       6:{1,2,4}:{(1,1),(15,1)}
       7:{3,4,5,6}:{(17,1),(63,1)}
       8:{2,3,5,6}:{(3,1),(17,1),(19,1)}
       9:{2,3,4}:{(15,1),(20,1)}
      10:{2,4,5}:{(2,1),(20,1),(21,1)}
      11:{1,3,4,6}:{(2,1),(3,1),(19,1),(21,1),(42,1),(58,1),(59,1)}
      12:{1,3,4,5}:{(4,1),(25,1),(26,1),(29,1),(50,1),(60,1)}
      13:{2,3,4,6}:{(4,1),(23,1),(26,1),(34,1),(54,1)}
      14:{1,2,4,6}:{(5,1),(6,1),(27,1),(28,1)}
      15:{1,3,4}:{(6,1),(9,1),(24,1),(29,1)}
      16:{1,2,4,5}:{(6,1),(10,1),(25,1),(28,1),(29,1),(30,1),(50,1)}
      17:{2,4,5,6}:{(7,1),(8,1),(31,1),(62,1)}
      18:{2,3,4,6}:{(9,1),(27,1),(32,1),(34,1),(54,1)}
      19:{1,3,5,6}:{(8,1),(11,1),(31,1),(33,1),(53,1)}
      20:{2,3,5}:{(9,1),(10,1),(29,1),(34,1)}
      21:{2,4,6}:{(10,1),(11,1),(33,1),(34,1)}
      22:{3,4,5,6}:{(35,1),(59,1)}
      23:{2,3,5,6}:{(13,1),(35,1),(37,1)}
      24:{2,3,4}:{(15,1),(38,1)}
      25:{2,4,5}:{(12,1),(38,1),(39,1)}
      26:{1,3,4,6}:{(12,1),(13,1),(37,1),(39,1),(42,1),(58,1),(63,1)}
      27:{1,3,4,6}:{(14,1),(15,1),(18,1),(36,1),(40,1),(42,1),(58,1)}
      28:{1,2,5}:{(14,1),(40,1)}
      29:{1,3,5}:{(15,1),(16,1),(20,1),(38,1),(42,1)}
      30:{1,2,4,6}:{(16,1),(21,1),(39,1),(41,1),(42,1),(58,1)}
      31:{1,4,5,6}:{(17,1),(19,1),(43,1),(58,1)}
      32:{2,3,5}:{(18,1),(40,1),(44,1)}
      33:{2,5,6}:{(19,1),(21,1)}
      34:{2,3,6}:{(20,1),(21,1),(42,1)}
      35:{2,4,5,6}:{(22,1),(23,1),(46,1),(54,1)}
      36:{2,3,4,6}:{(24,1),(27,1),(47,1),(49,1),(62,1)}
      37:{1,3,5,6}:{(23,1),(26,1),(46,1),(48,1),(61,1)}
      38:{2,3,5}:{(24,1),(25,1),(29,1),(49,1)}
      39:{2,4,6}:{(25,1),(26,1),(48,1),(49,1)}
      40:{1,3,5}:{(27,1),(28,1),(32,1),(47,1),(50,1)}
      41:{1,2,5,6}:{(28,1),(30,1),(33,1),(48,1),(51,1)}
      42:{1,3,6}:{(29,1),(30,1),(34,1),(49,1)}
      43:{2,4,5,6}:{(31,1),(33,1),(53,1),(54,1)}
      44:{2,4,5}:{(32,1),(50,1),(52,1),(54,1)}
      45:{2,3,5,6}:{(32,1),(33,1),(34,1),(51,1),(53,1),(54,1)}
      46:{1,4,5,6}:{(35,1),(37,1),(55,1),(58,1)}
      47:{2,3,5}:{(36,1),(40,1),(56,1)}
      48:{2,5,6}:{(37,1),(39,1)}
      49:{2,3,6}:{(38,1),(39,1),(42,1)}
      50:{1,4,5}:{(40,1),(44,1),(56,1),(58,1)}
      51:{1,3,5,6}:{(40,1),(41,1),(42,1),(45,1),(57,1),(58,1)}
      52:{3,4,5}:{(44,1),(59,1)}
      53:{3,5,6}:{(43,1),(59,1)}
      54:{2,4,6}:{(44,1),(45,1),(58,1),(59,1)}
      55:{2,4,5,6}:{(46,1),(48,1),(61,1),(62,1)}
      56:{2,4,5}:{(47,1),(50,1),(60,1),(62,1)}
      57:{2,3,5,6}:{(47,1),(48,1),(49,1),(51,1),(61,1),(62,1)}
      58:{1,4,6}:{(50,1),(51,1),(54,1),(62,1)}
      59:{3,4,6}:{(52,1),(53,1),(54,1)}
      60:{3,4,5}:{(56,1),(63,1)}
      61:{3,5,6}:{(55,1),(63,1)}
      62:{2,4,6}:{(56,1),(57,1),(58,1),(63,1)}
      63:{3,4,6}:{(60,1),(61,1),(62,1)}

676 :  0:{1,2,3,5,6}:{(2,1),(10,1),(16,1),(33,1),(35,1),(48,1)}
       1:{1,3,4,5,6}:{(3,1),(15,1),(36,1)}
       2:{1,2,4,6}:{(0,1),(7,1),(8,1),(18,1),(44,1)}
       3:{2,4,5,6}:{(1,1),(6,1),(9,1),(25,1),(44,1)}
       4:{2,3,4,5}:{(11,1),(12,1),(34,1),(46,1)}
       5:{1,2,3,6}:{(10,1),(13,1),(48,1)}
       6:{2,3,5,6}:{(3,1),(12,1),(15,1)}
       7:{1,3,4,6}:{(2,1),(14,1),(16,1),(28,1),(48,1)}
       8:{1,2,4,5}:{(2,1),(16,1),(34,1)}
       9:{1,4,5,6}:{(3,1),(15,1),(50,1)}
      10:{1,2,3,5}:{(5,1),(18,1),(23,1),(38,1)}
      11:{1,3,4,5}:{(4,1),(20,1),(21,1),(38,1),(42,1)}
      12:{2,3,4,6}:{(4,1),(6,1),(21,1),(44,1),(53,1)}
      13:{1,2,4,6}:{(5,1),(18,1),(22,1),(23,1)}
      14:{2,3,4,6}:{(7,1),(19,1),(22,1),(24,1),(37,1),(41,1),(44,1),(53,1)}
      15:{1,3,5,6}:{(6,1),(9,1),(21,1),(25,1)}
      16:{1,3,5}:{(7,1),(8,1),(24,1)}
      17:{1,2,4,5,6}:{(8,1),(9,1),(25,1),(27,1),(39,1),(44,1),(56,1),(59,1)}
      18:{1,2,4}:{(10,1),(28,1)}
      19:{2,3,4}:{(28,1),(30,1)}
      20:{2,4,5}:{(11,1),(30,1),(31,1)}
      21:{1,3,4,6}:{(11,1),(12,1),(15,1),(31,1),(48,1),(50,1)}
      22:{1,3,4,6}:{(13,1),(14,1),(28,1),(32,1),(48,1),(50,1)}
      23:{1,2,5}:{(13,1),(32,1)}
      24:{2,3,5}:{(14,1),(16,1),(32,1),(34,1)}
      25:{2,5,6}:{(15,1),(31,1)}
      26:{1,3,4,5}:{(16,1),(34,1),(36,1)}
      27:{1,3,5,6}:{(16,1),(17,1),(35,1),(36,1),(48,1)}
      28:{1,3,4}:{(18,1),(19,1),(37,1),(38,1)}
      29:{1,2,4,5}:{(18,1),(20,1),(23,1),(38,1),(39,1),(42,1),(52,1)}
      30:{2,3,5}:{(19,1),(20,1),(38,1),(41,1)}
      31:{2,4,6}:{(20,1),(21,1),(25,1),(41,1)}
      32:{1,3,5}:{(22,1),(23,1),(24,1),(42,1)}
      33:{1,2,5,6}:{(23,1),(25,1),(39,1),(43,1),(59,1)}
      34:{2,4,5}:{(24,1),(26,1),(42,1),(44,1)}
      35:{2,3,5,6}:{(24,1),(25,1),(27,1),(41,1),(43,1),(44,1),(53,1),(59,1)}
      36:{1,3,4,6}:{(26,1),(27,1),(44,1)}
      37:{2,3,4}:{(28,1),(46,1)}
      38:{1,3,5}:{(28,1),(29,1),(30,1),(46,1),(48,1)}
      39:{1,2,4,6}:{(29,1),(31,1),(33,1),(48,1),(50,1),(57,1)}
      40:{2,3,4,5}:{(30,1),(34,1),(47,1),(49,1)}
      41:{2,3,6}:{(30,1),(31,1),(48,1)}
      42:{1,4,5}:{(32,1),(34,1),(50,1)}
      43:{1,3,5,6}:{(32,1),(33,1),(35,1),(48,1),(50,1)}
      44:{2,4,6}:{(34,1),(35,1),(36,1),(50,1)}
      45:{1,3,4,5,6}:{(36,1),(51,1),(58,1)}
      46:{2,3,5}:{(37,1),(38,1),(52,1),(53,1)}
      47:{1,3,4,5}:{(38,1),(40,1),(42,1),(52,1),(54,1)}
      48:{1,3,6}:{(38,1),(39,1),(41,1),(53,1)}
      49:{2,3,4,6}:{(40,1),(41,1),(44,1),(54,1),(55,1)}
      50:{1,4,6}:{(42,1),(43,1),(44,1)}
      51:{2,4,5,6}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      52:{2,4,5}:{(46,1),(47,1),(57,1)}
      53:{2,3,6}:{(46,1),(48,1),(57,1)}
      54:{1,3,4,6}:{(47,1),(48,1),(49,1),(50,1),(57,1),(58,1)}
      55:{2,3,5,6}:{(49,1),(51,1),(58,1)}
      56:{1,4,5,6}:{(50,1),(51,1),(58,1)}
      57:{2,4,6}:{(52,1),(53,1),(54,1),(59,1)}
      58:{1,3,5,6}:{(54,1),(55,1),(56,1),(59,1)}
      59:{2,5,6}:{(57,1),(58,1)}

677 :  0:{2,3,4,5,6}:{(1,1),(9,1),(30,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(6,1),(33,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(34,1)}
       3:{1,2,4,5,6}:{(2,1),(6,1),(14,1),(23,1)}
       4:{2,3,5,6}:{(2,1),(6,1),(7,1),(32,1)}
       5:{2,3,4,5,6}:{(8,1),(11,1),(26,1)}
       6:{1,3,5,6}:{(3,1),(4,1),(9,1),(10,1),(29,1)}
       7:{2,3,4,6}:{(4,1),(10,1),(11,1)}
       8:{1,3,4,5,6}:{(5,1),(13,1),(15,1),(21,1)}
       9:{2,3,5,6}:{(6,1),(14,1),(25,1)}
      10:{1,3,4,6}:{(6,1),(7,1),(14,1),(15,1)}
      11:{2,3,4,5}:{(7,1),(15,1),(32,1)}
      12:{1,2,3,5,6}:{(9,1),(17,1),(26,1),(29,1)}
      13:{2,4,5,6}:{(8,1),(18,1),(20,1)}
      14:{2,4,6}:{(9,1),(10,1),(20,1)}
      15:{1,3,4,5}:{(10,1),(11,1),(20,1),(29,1)}
      16:{1,2,4,5,6}:{(13,1),(21,1),(23,1),(31,1)}
      17:{1,2,4,6}:{(12,1),(14,1),(22,1),(23,1),(31,1)}
      18:{2,3,5,6}:{(13,1),(21,1),(24,1),(25,1)}
      19:{2,3,4,6}:{(14,1),(22,1),(25,1)}
      20:{2,4,5}:{(14,1),(15,1),(25,1)}
      21:{1,3,5,6}:{(16,1),(18,1),(26,1),(28,1),(29,1)}
      22:{1,3,4,6}:{(17,1),(19,1),(27,1),(29,1)}
      23:{1,2,4,5}:{(17,1),(20,1),(29,1),(34,1)}
      24:{2,3,4,6}:{(18,1),(28,1),(30,1)}
      25:{2,3,5}:{(19,1),(20,1),(29,1)}
      26:{2,3,5,6}:{(21,1),(31,1),(32,1)}
      27:{2,3,4,6}:{(22,1),(31,1),(32,1)}
      28:{1,3,4,6}:{(21,1),(24,1),(31,1),(33,1)}
      29:{1,3,5}:{(22,1),(23,1),(25,1),(32,1)}
      30:{2,3,4,5}:{(24,1),(25,1),(33,1)}
      31:{2,4,6}:{(26,1),(28,1),(34,1)}
      32:{2,3,5}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,5}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,5}:{(31,1),(32,1),(33,1)}

678 :  0:{2,3,4,5}:{(1,1),(2,1),(31,1),(62,1)}
       1:{2,3,4,6}:{(0,1),(5,1),(6,1),(41,1),(57,1)}
       2:{1,3,4,5}:{(0,1),(6,1),(7,1),(21,1),(59,1),(60,1)}
       3:{2,3,4,5}:{(8,1),(9,1),(15,1),(55,1)}
       4:{3,4,5,6}:{(12,1),(61,1)}
       5:{2,3,5,6}:{(1,1),(12,1),(13,1)}
       6:{1,3,4,6}:{(1,1),(2,1),(13,1),(14,1),(33,1),(52,1),(54,1)}
       7:{2,4,5}:{(2,1),(14,1),(15,1)}
       8:{2,3,4,6}:{(3,1),(17,1),(18,1),(26,1),(47,1)}
       9:{1,3,4,5}:{(3,1),(18,1),(19,1),(21,1),(59,1),(63,1)}
      10:{1,2,4,5}:{(7,1),(19,1),(20,1),(21,1),(23,1),(45,1),(59,1)}
      11:{1,2,3,5}:{(21,1),(22,1),(23,1),(45,1)}
      12:{2,4,5,6}:{(4,1),(5,1),(24,1),(57,1)}
      13:{1,3,5,6}:{(5,1),(6,1),(24,1),(25,1),(46,1)}
      14:{2,4,6}:{(6,1),(7,1),(25,1),(26,1)}
      15:{2,3,5}:{(7,1),(21,1),(26,1),(27,1)}
      16:{3,4,5,6}:{(28,1),(54,1)}
      17:{2,3,5,6}:{(8,1),(28,1),(29,1)}
      18:{1,3,4,6}:{(8,1),(9,1),(29,1),(30,1),(33,1),(52,1),(61,1)}
      19:{2,4,5}:{(9,1),(30,1),(31,1)}
      20:{1,2,4,6}:{(10,1),(14,1),(30,1),(32,1),(33,1),(52,1)}
      21:{1,3,5}:{(10,1),(15,1),(31,1),(33,1),(34,1)}
      22:{1,2,3,6}:{(11,1),(33,1),(35,1)}
      23:{1,2,4}:{(11,1),(34,1)}
      24:{1,4,5,6}:{(12,1),(13,1),(36,1),(52,1)}
      25:{2,5,6}:{(13,1),(14,1)}
      26:{2,3,6}:{(14,1),(15,1),(33,1)}
      27:{2,3,4}:{(15,1),(34,1)}
      28:{2,4,5,6}:{(16,1),(17,1),(39,1),(47,1)}
      29:{1,3,5,6}:{(17,1),(18,1),(39,1),(40,1),(56,1)}
      30:{2,4,6}:{(18,1),(19,1),(40,1),(41,1)}
      31:{2,3,5}:{(19,1),(21,1),(41,1),(42,1)}
      32:{1,2,5,6}:{(20,1),(25,1),(40,1),(43,1),(45,1)}
      33:{1,3,6}:{(20,1),(21,1),(26,1),(41,1)}
      34:{1,3,4}:{(21,1),(23,1),(27,1),(42,1)}
      35:{1,2,4,6}:{(22,1),(23,1),(44,1),(45,1)}
      36:{2,4,5,6}:{(24,1),(25,1),(46,1),(47,1)}
      37:{2,3,5,6}:{(25,1),(26,1),(43,1),(46,1),(47,1),(48,1)}
      38:{2,3,4,6}:{(26,1),(27,1),(44,1),(47,1),(48,1)}
      39:{1,4,5,6}:{(28,1),(29,1),(49,1),(52,1)}
      40:{2,5,6}:{(29,1),(30,1)}
      41:{2,3,6}:{(30,1),(31,1),(33,1)}
      42:{2,3,4}:{(31,1),(34,1)}
      43:{1,3,5,6}:{(32,1),(33,1),(37,1),(50,1),(52,1),(53,1)}
      44:{1,3,4,6}:{(33,1),(34,1),(35,1),(38,1),(51,1),(52,1),(53,1)}
      45:{1,2,5}:{(35,1),(53,1)}
      46:{3,5,6}:{(36,1),(54,1)}
      47:{2,4,6}:{(37,1),(52,1),(54,1),(55,1)}
      48:{2,3,5}:{(38,1),(53,1),(55,1)}
      49:{2,4,5,6}:{(39,1),(40,1),(56,1),(57,1)}
      50:{2,3,5,6}:{(40,1),(41,1),(43,1),(56,1),(57,1),(58,1)}
      51:{2,3,4,6}:{(41,1),(42,1),(44,1),(57,1),(58,1)}
      52:{1,4,6}:{(43,1),(47,1),(57,1),(59,1)}
      53:{1,3,5}:{(44,1),(45,1),(48,1),(58,1),(59,1)}
      54:{3,4,6}:{(46,1),(47,1),(60,1)}
      55:{2,4,5}:{(47,1),(48,1),(59,1),(60,1)}
      56:{3,5,6}:{(49,1),(61,1)}
      57:{2,4,6}:{(50,1),(52,1),(61,1),(62,1)}
      58:{2,3,5}:{(51,1),(53,1),(62,1)}
      59:{1,4,5}:{(52,1),(53,1),(55,1),(62,1)}
      60:{3,4,5}:{(54,1),(55,1)}
      61:{3,4,6}:{(56,1),(57,1),(63,1)}
      62:{2,4,5}:{(57,1),(58,1),(59,1),(63,1)}
      63:{3,4,5}:{(61,1),(62,1)}

679 :  0:{3,4,5,6}:{(2,1),(42,1)}
       1:{2,3,4,5}:{(3,1),(4,1),(23,1),(43,1)}
       2:{2,4,5,6}:{(0,1),(5,1),(6,1),(39,1)}
       3:{2,3,4,6}:{(1,1),(5,1),(7,1),(30,1),(39,1)}
       4:{1,3,4,5}:{(1,1),(7,1),(8,1),(17,1),(29,1),(40,1)}
       5:{2,3,5,6}:{(2,1),(3,1),(9,1)}
       6:{1,4,5,6}:{(2,1),(9,1),(10,1),(35,1)}
       7:{1,3,4,6}:{(3,1),(4,1),(9,1),(12,1),(22,1),(24,1),(35,1)}
       8:{2,4,5}:{(4,1),(12,1),(13,1)}
       9:{1,3,5,6}:{(5,1),(6,1),(7,1),(14,1),(15,1)}
      10:{2,4,5,6}:{(6,1),(14,1),(15,1),(28,1)}
      11:{1,2,4,5}:{(8,1),(16,1),(17,1),(31,1),(40,1),(41,1)}
      12:{2,4,6}:{(7,1),(8,1),(14,1),(18,1)}
      13:{2,3,5}:{(8,1),(17,1),(18,1),(19,1)}
      14:{2,5,6}:{(9,1),(12,1)}
      15:{3,5,6}:{(10,1),(22,1)}
      16:{1,2,4,6}:{(11,1),(12,1),(20,1),(24,1),(35,1),(37,1)}
      17:{1,3,5}:{(11,1),(13,1),(23,1),(24,1),(25,1)}
      18:{2,3,6}:{(12,1),(13,1),(24,1)}
      19:{2,3,4}:{(13,1),(25,1)}
      20:{1,2,5,6}:{(14,1),(16,1),(27,1),(41,1)}
      21:{2,3,5,6}:{(14,1),(15,1),(18,1),(27,1),(28,1),(33,1)}
      22:{3,4,6}:{(15,1),(28,1),(29,1)}
      23:{2,3,5}:{(17,1),(30,1),(31,1),(41,1)}
      24:{1,3,6}:{(16,1),(17,1),(18,1),(30,1)}
      25:{1,3,4}:{(17,1),(19,1),(31,1)}
      26:{2,3,4,6}:{(18,1),(19,1),(28,1),(32,1),(33,1)}
      27:{1,3,5,6}:{(20,1),(21,1),(24,1),(34,1),(35,1),(38,1)}
      28:{2,4,6}:{(21,1),(22,1),(35,1),(36,1)}
      29:{3,4,5}:{(22,1),(36,1)}
      30:{2,3,6}:{(23,1),(24,1),(37,1)}
      31:{2,4}:{(23,1),(25,1)}
      32:{1,3,4,6}:{(24,1),(25,1),(26,1),(35,1),(37,1),(38,1),(42,1)}
      33:{2,3,5}:{(26,1),(36,1),(38,1)}
      34:{2,3,5,6}:{(27,1),(30,1),(39,1),(41,1),(44,1)}
      35:{1,4,6}:{(27,1),(28,1),(39,1),(40,1)}
      36:{2,4,5}:{(28,1),(29,1),(33,1),(40,1)}
      37:{2,4,6}:{(30,1),(31,1),(32,1),(41,1)}
      38:{1,3,5}:{(32,1),(33,1),(40,1),(41,1),(44,1)}
      39:{2,4,6}:{(34,1),(35,1),(42,1),(43,1)}
      40:{1,4,5}:{(35,1),(36,1),(38,1),(43,1)}
      41:{2,5}:{(37,1),(38,1)}
      42:{3,4,6}:{(39,1),(44,1)}
      43:{2,4,5}:{(39,1),(40,1),(41,1),(44,1)}
      44:{3,5}:{(42,1),(43,1)}

680 :  0:{2,3,4,5,6}:{(1,1),(8,1),(10,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(14,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(19,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(13,1),(16,1),(22,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(23,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(8,1),(9,1),(20,1),(24,1)}
       6:{2,3,4,6}:{(4,1),(9,1),(10,1)}
       7:{1,2,3,5,6}:{(8,1),(11,1),(20,1)}
       8:{2,3,5,6}:{(5,1),(13,1),(23,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(14,1),(23,1)}
      11:{1,2,4,6}:{(7,1),(13,1),(15,1),(16,1)}
      12:{1,2,3,5,6}:{(8,1),(17,1),(24,1)}
      13:{2,4,6}:{(8,1),(9,1),(19,1)}
      14:{1,3,4,5}:{(9,1),(10,1),(19,1),(20,1),(24,1)}
      15:{1,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{1,2,4,5}:{(11,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(21,1),(22,1)}
      18:{2,3,4,6}:{(13,1),(15,1),(21,1),(23,1)}
      19:{2,4,5}:{(13,1),(14,1),(23,1)}
      20:{1,3,5}:{(15,1),(16,1),(23,1)}
      21:{1,3,4,6}:{(17,1),(18,1),(24,1)}
      22:{1,2,4,5}:{(17,1),(19,1),(24,1)}
      23:{2,3,5}:{(18,1),(19,1),(20,1),(24,1)}
      24:{1,3,5}:{(21,1),(22,1),(23,1)}

681 :  0:{1,2,3,4,6}:{(1,1),(5,1)}
       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),(13,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       6:{1,2,3,4}:{(10,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1)}
       9:{1,2,4,5,6}:{(5,1),(13,1),(19,1)}
      10:{1,2,3,5}:{(6,1),(15,1),(16,1)}
      11:{1,3,4,5}:{(7,1),(15,1),(17,1)}
      12:{2,3,4,6}:{(7,1),(8,1),(17,1),(18,1)}
      13:{1,3,5,6}:{(8,1),(9,1),(18,1)}
      14:{1,3,4,5,6}:{(13,1),(19,1)}
      15:{1,2,4,5}:{(10,1),(11,1),(20,1)}
      16:{1,2,3,6}:{(10,1),(20,1)}
      17:{1,3,4,6}:{(11,1),(12,1),(20,1),(21,1)}
      18:{2,3,5,6}:{(12,1),(13,1),(19,1),(21,1)}
      19:{2,4,5,6}:{(14,1),(18,1),(22,1)}
      20:{1,2,4,6}:{(15,1),(16,1),(17,1),(23,1)}
      21:{1,3,5,6}:{(17,1),(18,1),(22,1),(23,1)}
      22:{1,4,5,6}:{(19,1),(21,1)}
      23:{1,2,5,6}:{(20,1),(21,1)}

682 :  0:{1,2,3,5,6}:{(2,1),(10,1),(16,1),(33,1),(35,1),(48,1)}
       1:{1,3,4,5,6}:{(3,1),(15,1),(36,1)}
       2:{1,2,4,6}:{(0,1),(7,1),(8,1),(18,1),(44,1)}
       3:{2,4,5,6}:{(1,1),(6,1),(9,1),(25,1),(44,1)}
       4:{2,3,4,5}:{(11,1),(12,1),(34,1),(46,1)}
       5:{1,2,3,6}:{(10,1),(13,1),(48,1)}
       6:{2,3,5,6}:{(3,1),(12,1),(15,1)}
       7:{1,3,4,6}:{(2,1),(14,1),(16,1),(28,1),(48,1)}
       8:{1,2,4,5}:{(2,1),(16,1),(34,1)}
       9:{1,4,5,6}:{(3,1),(15,1),(50,1)}
      10:{1,2,3,5}:{(5,1),(18,1),(23,1),(38,1)}
      11:{1,3,4,5}:{(4,1),(20,1),(21,1),(38,1),(42,1)}
      12:{2,3,4,6}:{(4,1),(6,1),(21,1),(44,1),(53,1)}
      13:{1,2,4,6}:{(5,1),(18,1),(22,1),(23,1)}
      14:{2,3,4,6}:{(7,1),(19,1),(22,1),(24,1),(37,1),(41,1),(44,1),(53,1)}
      15:{1,3,5,6}:{(6,1),(9,1),(21,1),(25,1)}
      16:{1,3,5}:{(7,1),(8,1),(24,1)}
      17:{1,2,4,5,6}:{(8,1),(9,1),(25,1),(27,1),(39,1),(44,1),(56,1),(59,1)}
      18:{1,2,4}:{(10,1),(28,1)}
      19:{2,3,4}:{(28,1),(30,1)}
      20:{2,4,5}:{(11,1),(30,1),(31,1)}
      21:{1,3,4,6}:{(11,1),(12,1),(15,1),(31,1),(48,1),(50,1)}
      22:{1,3,4,6}:{(13,1),(14,1),(28,1),(32,1),(48,1),(50,1)}
      23:{1,2,5}:{(13,1),(32,1)}
      24:{2,3,5}:{(14,1),(16,1),(32,1),(34,1)}
      25:{2,5,6}:{(15,1),(31,1)}
      26:{1,3,4,5}:{(16,1),(34,1),(36,1)}
      27:{1,3,5,6}:{(16,1),(17,1),(35,1),(36,1),(48,1)}
      28:{1,3,4}:{(18,1),(19,1),(37,1),(38,1)}
      29:{1,2,4,5}:{(18,1),(20,1),(23,1),(38,1),(39,1),(42,1),(52,1)}
      30:{2,3,5}:{(19,1),(20,1),(38,1),(41,1)}
      31:{2,4,6}:{(20,1),(21,1),(25,1),(41,1)}
      32:{1,3,5}:{(22,1),(23,1),(24,1),(42,1)}
      33:{1,2,5,6}:{(23,1),(25,1),(39,1),(43,1),(59,1)}
      34:{2,4,5}:{(24,1),(26,1),(42,1),(44,1)}
      35:{2,3,5,6}:{(24,1),(25,1),(27,1),(41,1),(43,1),(44,1),(53,1),(59,1)}
      36:{1,3,4,6}:{(26,1),(27,1),(44,1)}
      37:{2,3,4}:{(28,1),(46,1)}
      38:{1,3,5}:{(28,1),(29,1),(30,1),(46,1),(48,1)}
      39:{1,2,4,6}:{(29,1),(31,1),(33,1),(48,1),(50,1),(57,1)}
      40:{2,3,4,5}:{(30,1),(34,1),(47,1),(49,1)}
      41:{2,3,6}:{(30,1),(31,1),(48,1)}
      42:{1,4,5}:{(32,1),(34,1),(50,1)}
      43:{1,3,5,6}:{(32,1),(33,1),(35,1),(48,1),(50,1)}
      44:{2,4,6}:{(34,1),(35,1),(36,1),(50,1)}
      45:{1,3,4,5,6}:{(36,1),(51,1),(58,1)}
      46:{2,3,5}:{(37,1),(38,1),(52,1),(53,1)}
      47:{1,3,4,5}:{(38,1),(40,1),(42,1),(52,1),(54,1)}
      48:{1,3,6}:{(38,1),(39,1),(41,1),(53,1)}
      49:{2,3,4,6}:{(40,1),(41,1),(44,1),(54,1),(55,1)}
      50:{1,4,6}:{(42,1),(43,1),(44,1)}
      51:{2,4,5,6}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      52:{2,4,5}:{(46,1),(47,1),(57,1)}
      53:{2,3,6}:{(46,1),(48,1),(57,1)}
      54:{1,3,4,6}:{(47,1),(48,1),(49,1),(50,1),(57,1),(58,1)}
      55:{2,3,5,6}:{(49,1),(51,1),(58,1)}
      56:{1,4,5,6}:{(50,1),(51,1),(58,1)}
      57:{2,4,6}:{(52,1),(53,1),(54,1),(59,1)}
      58:{1,3,5,6}:{(54,1),(55,1),(56,1),(59,1)}
      59:{2,5,6}:{(57,1),(58,1)}

683 :  0:{2,3,4,5,6}:{(1,1),(9,1),(30,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(6,1),(33,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(34,1)}
       3:{1,2,4,5,6}:{(2,1),(6,1),(14,1),(23,1)}
       4:{2,3,5,6}:{(2,1),(6,1),(7,1),(32,1)}
       5:{2,3,4,5,6}:{(8,1),(11,1),(26,1)}
       6:{1,3,5,6}:{(3,1),(4,1),(9,1),(10,1),(29,1)}
       7:{2,3,4,6}:{(4,1),(10,1),(11,1)}
       8:{1,3,4,5,6}:{(5,1),(13,1),(15,1),(21,1)}
       9:{2,3,5,6}:{(6,1),(14,1),(25,1)}
      10:{1,3,4,6}:{(6,1),(7,1),(14,1),(15,1)}
      11:{2,3,4,5}:{(7,1),(15,1),(32,1)}
      12:{1,2,3,5,6}:{(9,1),(17,1),(26,1),(29,1)}
      13:{2,4,5,6}:{(8,1),(18,1),(20,1)}
      14:{2,4,6}:{(9,1),(10,1),(20,1)}
      15:{1,3,4,5}:{(10,1),(11,1),(20,1),(29,1)}
      16:{1,2,4,5,6}:{(13,1),(21,1),(23,1),(31,1)}
      17:{1,2,4,6}:{(12,1),(14,1),(22,1),(23,1),(31,1)}
      18:{2,3,5,6}:{(13,1),(21,1),(24,1),(25,1)}
      19:{2,3,4,6}:{(14,1),(22,1),(25,1)}
      20:{2,4,5}:{(14,1),(15,1),(25,1)}
      21:{1,3,5,6}:{(16,1),(18,1),(26,1),(28,1),(29,1)}
      22:{1,3,4,6}:{(17,1),(19,1),(27,1),(29,1)}
      23:{1,2,4,5}:{(17,1),(20,1),(29,1),(34,1)}
      24:{2,3,4,6}:{(18,1),(28,1),(30,1)}
      25:{2,3,5}:{(19,1),(20,1),(29,1)}
      26:{2,3,5,6}:{(21,1),(31,1),(32,1)}
      27:{2,3,4,6}:{(22,1),(31,1),(32,1)}
      28:{1,3,4,6}:{(21,1),(24,1),(31,1),(33,1)}
      29:{1,3,5}:{(22,1),(23,1),(25,1),(32,1)}
      30:{2,3,4,5}:{(24,1),(25,1),(33,1)}
      31:{2,4,6}:{(26,1),(28,1),(34,1)}
      32:{2,3,5}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,5}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,5}:{(31,1),(32,1),(33,1)}

684 :  0:{2,3,4,5}:{(1,1),(2,1),(18,1),(53,1)}
       1:{2,3,4,6}:{(0,1),(6,1),(7,1),(29,1),(47,1)}
       2:{1,3,4,5}:{(0,1),(7,1),(8,1),(10,1),(24,1),(49,1),(54,1),(55,1)}
       3:{1,2,4,5}:{(8,1),(9,1),(10,1),(12,1),(33,1),(49,1)}
       4:{1,2,3,5}:{(10,1),(11,1),(12,1),(33,1)}
       5:{3,4,5,6}:{(15,1),(52,1)}
       6:{2,3,5,6}:{(1,1),(15,1),(16,1)}
       7:{1,3,4,6}:{(1,1),(2,1),(16,1),(17,1),(20,1),(35,1),(41,1),(50,1),(52,1)}
       8:{2,4,5}:{(2,1),(17,1),(18,1)}
       9:{1,2,4,6}:{(3,1),(17,1),(19,1),(20,1),(41,1)}
      10:{1,3,5}:{(3,1),(18,1),(20,1),(21,1)}
      11:{1,2,3,6}:{(4,1),(20,1),(22,1)}
      12:{1,2,4}:{(4,1),(21,1)}
      13:{1,2,4,5}:{(8,1),(23,1),(24,1),(26,1),(45,1),(54,1)}
      14:{1,2,3,5}:{(24,1),(25,1),(26,1),(45,1)}
      15:{2,4,5,6}:{(5,1),(6,1),(27,1),(47,1)}
      16:{1,3,5,6}:{(6,1),(7,1),(27,1),(28,1),(46,1)}
      17:{2,4,6}:{(7,1),(8,1),(28,1),(29,1)}
      18:{2,3,5}:{(8,1),(10,1),(24,1),(29,1),(30,1)}
      19:{1,2,5,6}:{(9,1),(28,1),(31,1),(33,1)}
      20:{1,3,6}:{(9,1),(10,1),(29,1)}
      21:{1,3,4}:{(10,1),(12,1),(30,1)}
      22:{1,2,4,6}:{(11,1),(12,1),(32,1),(33,1)}
      23:{1,2,4,6}:{(13,1),(17,1),(34,1),(35,1),(50,1)}
      24:{1,3,5}:{(13,1),(18,1),(35,1),(36,1)}
      25:{1,2,3,6}:{(14,1),(35,1),(37,1)}
      26:{1,2,4}:{(14,1),(36,1)}
      27:{1,4,5,6}:{(15,1),(16,1),(38,1),(41,1),(50,1)}
      28:{2,5,6}:{(16,1),(17,1)}
      29:{2,3,6}:{(17,1),(18,1),(20,1),(35,1)}
      30:{2,3,4}:{(18,1),(21,1),(36,1)}
      31:{1,3,5,6}:{(19,1),(20,1),(39,1),(41,1),(42,1)}
      32:{1,3,4,6}:{(20,1),(21,1),(22,1),(40,1),(41,1),(42,1)}
      33:{1,2,5}:{(22,1),(42,1)}
      34:{1,2,5,6}:{(23,1),(28,1),(43,1),(45,1)}
      35:{1,3,6}:{(23,1),(24,1),(29,1)}
      36:{1,3,4}:{(24,1),(26,1),(30,1)}
      37:{1,2,4,6}:{(25,1),(26,1),(44,1),(45,1)}
      38:{2,4,5,6}:{(27,1),(28,1),(46,1),(47,1)}
      39:{2,3,5,6}:{(28,1),(29,1),(31,1),(43,1),(46,1),(47,1),(48,1)}
      40:{2,3,4,6}:{(29,1),(30,1),(32,1),(44,1),(47,1),(48,1)}
      41:{1,4,6}:{(31,1),(47,1),(49,1)}
      42:{1,3,5}:{(32,1),(33,1),(48,1),(49,1)}
      43:{1,3,5,6}:{(34,1),(35,1),(39,1),(50,1),(51,1)}
      44:{1,3,4,6}:{(35,1),(36,1),(37,1),(40,1),(50,1),(51,1)}
      45:{1,2,5}:{(37,1),(51,1)}
      46:{3,5,6}:{(38,1),(52,1)}
      47:{2,4,6}:{(39,1),(41,1),(50,1),(52,1),(53,1)}
      48:{2,3,5}:{(40,1),(42,1),(51,1),(53,1)}
      49:{1,4,5}:{(41,1),(42,1),(53,1)}
      50:{1,4,6}:{(43,1),(47,1),(54,1)}
      51:{1,3,5}:{(44,1),(45,1),(48,1),(54,1)}
      52:{3,4,6}:{(46,1),(47,1),(55,1)}
      53:{2,4,5}:{(47,1),(48,1),(49,1),(54,1),(55,1)}
      54:{1,4,5}:{(50,1),(51,1),(53,1)}
      55:{3,4,5}:{(52,1),(53,1)}

685 :  0:{1,2,3,5,6}:{(1,1),(7,1),(26,1),(40,1),(67,1),(74,1)}
       1:{1,2,4,6}:{(0,1),(3,1),(4,1),(37,1),(53,1)}
       2:{1,2,3,5,6}:{(5,1),(18,1),(21,1),(45,1),(52,1),(70,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(64,1),(74,1)}
       4:{1,2,4,5}:{(1,1),(7,1),(22,1)}
       5:{1,2,4,6}:{(2,1),(9,1),(10,1),(35,1),(55,1)}
       6:{2,3,4,6}:{(3,1),(14,1),(15,1),(37,1),(58,1),(73,1)}
       7:{1,3,5}:{(3,1),(4,1),(15,1)}
       8:{1,2,4,5,6}:{(4,1),(16,1),(34,1),(37,1),(61,1),(72,1)}
       9:{1,3,4,6}:{(5,1),(17,1),(18,1),(49,1),(70,1)}
      10:{1,2,4,5}:{(5,1),(18,1),(41,1)}
      11:{1,3,4,5,6}:{(20,1),(23,1),(42,1),(48,1)}
      12:{1,3,4,5}:{(7,1),(22,1),(23,1)}
      13:{1,2,3,6}:{(21,1),(24,1),(70,1)}
      14:{1,3,4,6}:{(6,1),(24,1),(25,1),(49,1),(51,1),(70,1)}
      15:{2,3,5}:{(6,1),(7,1),(22,1),(25,1)}
      16:{1,3,5,6}:{(7,1),(8,1),(23,1),(26,1),(74,1)}
      17:{2,3,4,6}:{(9,1),(29,1),(30,1),(55,1),(58,1),(73,1)}
      18:{1,3,5}:{(9,1),(10,1),(30,1)}
      19:{1,2,4,5,6}:{(10,1),(31,1),(34,1),(55,1),(61,1),(63,1)}
      20:{2,4,5,6}:{(11,1),(33,1),(34,1),(37,1),(55,1),(61,1)}
      21:{1,2,3,5}:{(13,1),(35,1),(38,1),(62,1)}
      22:{2,4,5}:{(12,1),(15,1),(36,1),(37,1)}
      23:{1,3,4,6}:{(12,1),(16,1),(37,1)}
      24:{1,2,4,6}:{(13,1),(14,1),(35,1),(38,1)}
      25:{1,3,5}:{(14,1),(15,1),(36,1),(38,1)}
      26:{2,3,5,6}:{(15,1),(16,1),(37,1),(39,1),(61,1),(73,1)}
      27:{1,3,4,5}:{(18,1),(41,1),(42,1)}
      28:{1,2,3,6}:{(40,1),(43,1),(74,1)}
      29:{1,3,4,6}:{(17,1),(43,1),(44,1),(64,1),(66,1),(74,1)}
      30:{2,3,5}:{(17,1),(18,1),(41,1),(44,1)}
      31:{1,3,5,6}:{(18,1),(19,1),(42,1),(45,1),(70,1)}
      32:{2,3,4,5}:{(22,1),(41,1),(46,1),(47,1),(68,1)}
      33:{2,3,5,6}:{(20,1),(47,1),(48,1)}
      34:{1,4,5,6}:{(20,1),(48,1),(51,1),(66,1)}
      35:{1,2,4}:{(21,1),(49,1)}
      36:{1,4,5}:{(22,1),(25,1),(51,1)}
      37:{2,4,6}:{(22,1),(23,1),(26,1),(51,1)}
      38:{1,2,5}:{(24,1),(25,1)}
      39:{1,3,5,6}:{(25,1),(26,1),(51,1),(52,1),(70,1)}
      40:{1,2,3,5}:{(28,1),(53,1),(56,1),(71,1)}
      41:{2,4,5}:{(27,1),(30,1),(54,1),(55,1)}
      42:{1,3,4,6}:{(27,1),(31,1),(55,1)}
      43:{1,2,4,6}:{(28,1),(29,1),(53,1),(56,1)}
      44:{1,3,5}:{(29,1),(30,1),(54,1),(56,1)}
      45:{2,3,5,6}:{(30,1),(31,1),(55,1),(57,1),(61,1),(73,1)}
      46:{1,3,4,5}:{(32,1),(36,1),(54,1),(59,1),(60,1),(62,1),(71,1)}
      47:{2,3,4,6}:{(32,1),(33,1),(37,1),(55,1),(60,1),(73,1)}
      48:{1,3,5,6}:{(33,1),(34,1),(60,1),(61,1)}
      49:{1,3,4}:{(35,1),(58,1),(62,1)}
      50:{1,2,4,5}:{(35,1),(36,1),(38,1),(59,1),(62,1),(63,1)}
      51:{1,4,6}:{(36,1),(37,1),(39,1)}
      52:{1,2,5,6}:{(38,1),(39,1),(61,1),(63,1)}
      53:{1,2,4}:{(40,1),(64,1)}
      54:{1,4,5}:{(41,1),(44,1),(66,1)}
      55:{2,4,6}:{(41,1),(42,1),(45,1),(66,1)}
      56:{1,2,5}:{(43,1),(44,1)}
      57:{1,3,5,6}:{(44,1),(45,1),(66,1),(67,1),(74,1)}
      58:{2,3,4}:{(49,1),(64,1),(68,1)}
      59:{2,4,5}:{(46,1),(68,1),(69,1)}
      60:{1,3,4,6}:{(46,1),(47,1),(48,1),(51,1),(66,1),(69,1),(70,1),(74,1)}
      61:{2,5,6}:{(48,1),(69,1)}
      62:{1,3,5}:{(49,1),(50,1),(68,1),(70,1)}
      63:{1,2,4,6}:{(50,1),(51,1),(52,1),(69,1),(70,1)}
      64:{1,3,4}:{(53,1),(58,1),(71,1)}
      65:{1,2,4,5}:{(53,1),(54,1),(56,1),(59,1),(71,1),(72,1)}
      66:{1,4,6}:{(54,1),(55,1),(57,1)}
      67:{1,2,5,6}:{(56,1),(57,1),(61,1),(72,1)}
      68:{2,3,5}:{(58,1),(59,1),(62,1),(71,1),(73,1)}
      69:{2,4,6}:{(59,1),(60,1),(61,1),(73,1)}
      70:{1,3,6}:{(62,1),(63,1),(73,1)}
      71:{1,3,5}:{(64,1),(65,1),(68,1),(74,1)}
      72:{1,2,4,6}:{(65,1),(66,1),(67,1),(69,1),(74,1)}
      73:{2,3,6}:{(68,1),(69,1),(70,1),(74,1)}
      74:{1,3,6}:{(71,1),(72,1),(73,1)}

686 :  0:{1,2,3,5,6}:{(2,1),(12,1),(13,1),(50,1),(67,1),(68,1)}
       1:{1,2,4,5,6}:{(5,1),(6,1),(19,1),(21,1),(43,1),(59,1)}
       2:{1,2,4,6}:{(0,1),(6,1),(7,1),(21,1),(72,1)}
       3:{1,2,3,5,6}:{(9,1),(26,1),(27,1),(33,1),(56,1),(57,1)}
       4:{1,3,4,5,6}:{(10,1),(11,1),(25,1),(30,1)}
       5:{1,3,5,6}:{(1,1),(11,1),(12,1),(13,1),(67,1)}
       6:{1,2,4,5}:{(2,1),(13,1),(31,1)}
       7:{1,3,4,6}:{(2,1),(13,1),(14,1),(67,1),(74,1)}
       8:{1,2,4,5,6}:{(15,1),(16,1),(19,1),(37,1),(43,1),(45,1)}
       9:{1,2,4,6}:{(3,1),(16,1),(17,1),(37,1),(65,1)}
      10:{2,4,5,6}:{(4,1),(18,1),(19,1),(21,1),(37,1),(43,1)}
      11:{1,3,4,6}:{(5,1),(20,1),(21,1)}
      12:{2,3,5,6}:{(5,1),(21,1),(22,1),(23,1),(43,1),(63,1)}
      13:{1,3,5}:{(6,1),(7,1),(23,1)}
      14:{2,3,4,6}:{(7,1),(21,1),(23,1),(24,1),(63,1),(73,1)}
      15:{1,3,5,6}:{(8,1),(25,1),(26,1),(27,1),(56,1)}
      16:{1,2,4,5}:{(9,1),(27,1),(48,1)}
      17:{1,3,4,6}:{(9,1),(27,1),(28,1),(56,1),(70,1)}
      18:{2,3,5,6}:{(10,1),(29,1),(30,1)}
      19:{1,4,5,6}:{(10,1),(30,1),(32,1),(49,1)}
      20:{1,3,4,5}:{(11,1),(13,1),(31,1)}
      21:{2,4,6}:{(11,1),(12,1),(31,1),(32,1)}
      22:{1,3,5,6}:{(12,1),(32,1),(33,1),(34,1),(56,1)}
      23:{2,3,5}:{(13,1),(14,1),(31,1),(34,1)}
      24:{1,3,4,6}:{(14,1),(32,1),(34,1),(35,1),(56,1),(70,1)}
      25:{1,3,4,6}:{(15,1),(36,1),(37,1)}
      26:{2,3,5,6}:{(15,1),(37,1),(38,1),(39,1),(43,1),(63,1)}
      27:{1,3,5}:{(16,1),(17,1),(39,1)}
      28:{2,3,4,6}:{(17,1),(37,1),(39,1),(40,1),(63,1),(73,1)}
      29:{2,3,4,6}:{(18,1),(21,1),(37,1),(41,1),(42,1),(63,1)}
      30:{1,3,5,6}:{(18,1),(19,1),(42,1),(43,1)}
      31:{2,4,5}:{(20,1),(21,1),(23,1),(44,1)}
      32:{1,4,6}:{(21,1),(22,1),(44,1)}
      33:{1,2,5,6}:{(22,1),(43,1),(45,1),(46,1)}
      34:{1,3,5}:{(23,1),(24,1),(44,1),(46,1)}
      35:{1,2,4,6}:{(24,1),(46,1),(47,1),(65,1)}
      36:{1,3,4,5}:{(25,1),(27,1),(48,1)}
      37:{2,4,6}:{(25,1),(26,1),(48,1),(49,1)}
      38:{1,3,5,6}:{(26,1),(49,1),(50,1),(51,1),(67,1)}
      39:{2,3,5}:{(27,1),(28,1),(48,1),(51,1)}
      40:{1,3,4,6}:{(28,1),(49,1),(51,1),(52,1),(67,1),(74,1)}
      41:{2,3,4,5}:{(29,1),(31,1),(48,1),(53,1),(69,1)}
      42:{1,3,4,6}:{(29,1),(30,1),(32,1),(49,1),(53,1),(54,1),(56,1),(67,1)}
      43:{2,5,6}:{(30,1),(54,1)}
      44:{1,4,5}:{(31,1),(32,1),(34,1)}
      45:{1,2,4,6}:{(32,1),(33,1),(54,1),(55,1),(56,1)}
      46:{1,2,5}:{(34,1),(35,1)}
      47:{1,2,3,6}:{(35,1),(56,1),(57,1)}
      48:{2,4,5}:{(36,1),(37,1),(39,1),(58,1)}
      49:{1,4,6}:{(37,1),(38,1),(58,1)}
      50:{1,2,5,6}:{(38,1),(43,1),(59,1),(60,1)}
      51:{1,3,5}:{(39,1),(40,1),(58,1),(60,1)}
      52:{1,2,4,6}:{(40,1),(60,1),(61,1),(72,1)}
      53:{1,3,4,5}:{(41,1),(42,1),(44,1),(58,1),(62,1),(64,1),(71,1)}
      54:{2,4,6}:{(42,1),(43,1),(62,1),(63,1)}
      55:{1,2,4,5}:{(44,1),(45,1),(46,1),(62,1),(64,1),(65,1)}
      56:{1,3,6}:{(45,1),(63,1),(64,1)}
      57:{1,2,3,5}:{(46,1),(47,1),(64,1),(65,1)}
      58:{1,4,5}:{(48,1),(49,1),(51,1)}
      59:{1,2,4,6}:{(49,1),(50,1),(54,1),(66,1),(67,1)}
      60:{1,2,5}:{(51,1),(52,1)}
      61:{1,2,3,6}:{(52,1),(67,1),(68,1)}
      62:{2,4,5}:{(53,1),(54,1),(69,1)}
      63:{2,3,6}:{(54,1),(56,1),(67,1),(69,1)}
      64:{1,3,5}:{(55,1),(56,1),(69,1),(70,1)}
      65:{1,2,4}:{(57,1),(70,1)}
      66:{1,2,4,5}:{(58,1),(59,1),(60,1),(62,1),(71,1),(72,1)}
      67:{1,3,6}:{(59,1),(63,1),(71,1)}
      68:{1,2,3,5}:{(60,1),(61,1),(71,1),(72,1)}
      69:{2,3,5}:{(62,1),(63,1),(64,1),(71,1),(73,1)}
      70:{1,3,4}:{(64,1),(65,1),(73,1)}
      71:{1,3,5}:{(66,1),(67,1),(69,1),(74,1)}
      72:{1,2,4}:{(68,1),(74,1)}
      73:{2,3,4}:{(69,1),(70,1),(74,1)}
      74:{1,3,4}:{(71,1),(72,1),(73,1)}

687 :  0:{1,2,3,4,6}:{(1,1),(5,1)}
       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),(9,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       6:{1,2,4,5,6}:{(5,1),(9,1),(17,1)}
       7:{2,3,4,5}:{(4,1),(10,1),(11,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(9,1),(11,1)}
       9:{1,3,5,6}:{(6,1),(8,1),(13,1)}
      10:{1,3,4,5}:{(7,1),(15,1),(16,1)}
      11:{2,3,4,6}:{(7,1),(8,1),(13,1),(16,1)}
      12:{1,3,4,5,6}:{(9,1),(17,1)}
      13:{2,3,5,6}:{(9,1),(11,1),(17,1),(18,1)}
      14:{1,2,3,4}:{(19,1)}
      15:{1,2,4,5}:{(10,1),(19,1),(20,1)}
      16:{1,3,4,6}:{(10,1),(11,1),(18,1),(20,1)}
      17:{2,4,5,6}:{(12,1),(13,1),(21,1)}
      18:{1,3,5,6}:{(13,1),(16,1),(21,1),(22,1)}
      19:{1,2,3,5}:{(14,1),(15,1),(23,1)}
      20:{1,2,4,6}:{(15,1),(16,1),(22,1),(23,1)}
      21:{1,4,5,6}:{(17,1),(18,1)}
      22:{1,2,5,6}:{(18,1),(20,1)}
      23:{1,2,3,6}:{(19,1),(20,1)}

688 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
       2:{1,2,3,4}:{(5,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
       4:{1,2,3,6}:{(1,1),(7,1)}
       5:{1,2,3,5}:{(2,1),(8,1),(9,1)}
       6:{1,3,4,5}:{(3,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,2,4,5}:{(5,1),(13,1),(14,1)}
       9:{1,2,3,6}:{(5,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(13,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(7,1),(15,1),(16,1)}
      12:{1,2,5,6}:{(7,1),(16,1)}
      13:{1,3,4,5}:{(8,1),(10,1),(17,1)}
      14:{1,2,4,6}:{(8,1),(9,1),(17,1),(18,1)}
      15:{2,3,4,6}:{(10,1),(11,1),(17,1),(19,1)}
      16:{1,3,5,6}:{(11,1),(12,1),(19,1),(20,1)}
      17:{1,3,4,6}:{(13,1),(14,1),(15,1),(21,1)}
      18:{1,2,5,6}:{(14,1),(21,1)}
      19:{2,3,5,6}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,4,5,6}:{(16,1),(22,1)}
      21:{1,3,5,6}:{(17,1),(18,1),(19,1),(23,1)}
      22:{2,4,5,6}:{(19,1),(20,1),(23,1),(24,1)}
      23:{1,4,5,6}:{(21,1),(22,1)}
      24:{3,4,5,6}:{(22,1)}

689 :  0:{1,2,3,5}:{(2,1),(3,1),(18,1),(19,1)}
       1:{2,3,4,5}:{(5,1),(6,1),(27,1),(46,1)}
       2:{1,2,3,6}:{(0,1),(7,1),(31,1)}
       3:{1,2,4}:{(0,1),(8,1)}
       4:{1,2,3,5}:{(10,1),(11,1),(33,1),(34,1)}
       5:{1,3,4,5}:{(1,1),(15,1),(16,1),(19,1),(34,1),(40,1),(49,1),(51,1)}
       6:{2,3,4,6}:{(1,1),(13,1),(16,1),(39,1),(53,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(17,1),(18,1)}
       8:{1,3,4}:{(3,1),(14,1),(19,1)}
       9:{1,2,4,5}:{(3,1),(15,1),(18,1),(19,1),(20,1),(40,1)}
      10:{1,2,3,6}:{(4,1),(21,1),(44,1)}
      11:{1,2,4}:{(4,1),(22,1)}
      12:{3,4,5,6}:{(24,1),(55,1)}
      13:{2,3,5,6}:{(6,1),(24,1),(26,1)}
      14:{2,3,4}:{(8,1),(22,1),(27,1)}
      15:{2,4,5}:{(5,1),(27,1),(28,1)}
      16:{1,3,4,6}:{(5,1),(6,1),(26,1),(28,1),(31,1),(44,1),(48,1),(54,1),(55,1)}
      17:{1,3,4,6}:{(7,1),(8,1),(25,1),(29,1),(31,1),(48,1)}
      18:{1,2,5}:{(7,1),(29,1)}
      19:{1,3,5}:{(8,1),(9,1),(27,1),(31,1)}
      20:{1,2,4,6}:{(9,1),(28,1),(30,1),(31,1),(48,1)}
      21:{1,2,4,6}:{(10,1),(11,1),(32,1),(33,1)}
      22:{1,3,4}:{(11,1),(14,1),(34,1)}
      23:{1,2,4,5}:{(11,1),(15,1),(33,1),(34,1),(35,1),(49,1)}
      24:{2,4,5,6}:{(12,1),(13,1),(36,1),(53,1)}
      25:{2,3,4,6}:{(14,1),(17,1),(32,1),(37,1),(39,1),(53,1)}
      26:{1,3,5,6}:{(13,1),(16,1),(36,1),(38,1),(52,1)}
      27:{2,3,5}:{(14,1),(15,1),(19,1),(34,1),(39,1)}
      28:{2,4,6}:{(15,1),(16,1),(38,1),(39,1)}
      29:{1,3,5}:{(17,1),(18,1),(37,1),(40,1)}
      30:{1,2,5,6}:{(18,1),(20,1),(38,1),(41,1)}
      31:{1,3,6}:{(19,1),(20,1),(39,1)}
      32:{1,3,4,6}:{(21,1),(22,1),(25,1),(42,1),(44,1),(54,1)}
      33:{1,2,5}:{(21,1),(42,1)}
      34:{1,3,5}:{(22,1),(23,1),(27,1),(44,1)}
      35:{1,2,4,6}:{(23,1),(28,1),(43,1),(44,1),(54,1)}
      36:{1,4,5,6}:{(24,1),(26,1),(45,1),(48,1),(54,1)}
      37:{2,3,5}:{(25,1),(29,1),(42,1),(46,1)}
      38:{2,5,6}:{(26,1),(28,1)}
      39:{2,3,6}:{(27,1),(28,1),(31,1),(44,1)}
      40:{1,4,5}:{(29,1),(46,1),(48,1)}
      41:{1,3,5,6}:{(29,1),(30,1),(31,1),(47,1),(48,1)}
      42:{1,3,5}:{(32,1),(33,1),(37,1),(49,1)}
      43:{1,2,5,6}:{(33,1),(35,1),(38,1),(50,1)}
      44:{1,3,6}:{(34,1),(35,1),(39,1)}
      45:{2,4,5,6}:{(36,1),(38,1),(52,1),(53,1)}
      46:{2,4,5}:{(37,1),(40,1),(49,1),(51,1),(53,1)}
      47:{2,3,5,6}:{(37,1),(38,1),(39,1),(41,1),(50,1),(52,1),(53,1)}
      48:{1,4,6}:{(40,1),(41,1),(53,1)}
      49:{1,4,5}:{(42,1),(46,1),(54,1)}
      50:{1,3,5,6}:{(42,1),(43,1),(44,1),(47,1),(54,1)}
      51:{3,4,5}:{(46,1),(55,1)}
      52:{3,5,6}:{(45,1),(55,1)}
      53:{2,4,6}:{(46,1),(47,1),(48,1),(54,1),(55,1)}
      54:{1,4,6}:{(49,1),(50,1),(53,1)}
      55:{3,4,6}:{(51,1),(52,1),(53,1)}

690 :  0:{1,2,3,5,6}:{(1,1),(6,1),(17,1),(22,1),(43,1),(57,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(28,1),(30,1)}
       2:{1,3,4,6}:{(1,1),(5,1),(6,1),(40,1),(57,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(18,1)}
       4:{1,3,4,5,6}:{(8,1),(19,1),(25,1)}
       5:{2,3,4,6}:{(2,1),(11,1),(12,1),(30,1),(33,1),(47,1),(53,1),(59,1)}
       6:{1,3,5}:{(2,1),(3,1),(12,1)}
       7:{1,2,4,5,6}:{(3,1),(13,1),(16,1),(30,1),(36,1),(50,1),(52,1),(58,1)}
       8:{2,4,5,6}:{(4,1),(15,1),(16,1),(30,1),(36,1)}
       9:{1,3,4,5}:{(6,1),(18,1),(19,1)}
      10:{1,2,3,6}:{(17,1),(20,1),(57,1)}
      11:{1,3,4,6}:{(5,1),(20,1),(21,1),(40,1),(42,1),(57,1)}
      12:{2,3,5}:{(5,1),(6,1),(18,1),(21,1)}
      13:{1,3,5,6}:{(6,1),(7,1),(19,1),(22,1),(57,1)}
      14:{2,3,4,5}:{(18,1),(23,1),(24,1),(55,1)}
      15:{2,3,5,6}:{(8,1),(24,1),(25,1)}
      16:{1,4,5,6}:{(8,1),(25,1),(42,1)}
      17:{1,2,3,5}:{(10,1),(28,1),(31,1),(51,1)}
      18:{2,4,5}:{(9,1),(12,1),(29,1),(30,1)}
      19:{1,3,4,6}:{(9,1),(13,1),(30,1)}
      20:{1,2,4,6}:{(10,1),(11,1),(28,1),(31,1)}
      21:{1,3,5}:{(11,1),(12,1),(29,1),(31,1)}
      22:{2,3,5,6}:{(12,1),(13,1),(30,1),(32,1),(36,1),(53,1),(58,1),(59,1)}
      23:{1,3,4,5}:{(14,1),(29,1),(34,1),(35,1),(51,1)}
      24:{2,3,4,6}:{(14,1),(15,1),(30,1),(35,1),(59,1)}
      25:{1,3,5,6}:{(15,1),(16,1),(35,1),(36,1)}
      26:{2,3,4,5}:{(18,1),(37,1),(38,1),(44,1)}
      27:{1,3,4,5,6}:{(19,1),(39,1),(54,1)}
      28:{1,2,4}:{(17,1),(40,1)}
      29:{1,4,5}:{(18,1),(21,1),(42,1)}
      30:{2,4,6}:{(18,1),(19,1),(22,1),(42,1)}
      31:{1,2,5}:{(20,1),(21,1)}
      32:{1,3,5,6}:{(21,1),(22,1),(42,1),(43,1),(57,1)}
      33:{2,3,4}:{(40,1),(44,1)}
      34:{2,4,5}:{(23,1),(44,1),(45,1)}
      35:{1,3,4,6}:{(23,1),(24,1),(25,1),(42,1),(45,1),(57,1)}
      36:{2,5,6}:{(25,1),(45,1)}
      37:{1,3,4,5}:{(26,1),(29,1),(48,1),(49,1),(51,1)}
      38:{2,3,4,6}:{(26,1),(30,1),(46,1),(49,1),(53,1)}
      39:{2,4,5,6}:{(27,1),(30,1),(46,1),(50,1),(58,1)}
      40:{1,3,4}:{(28,1),(33,1),(47,1),(51,1)}
      41:{1,2,4,5}:{(28,1),(29,1),(31,1),(34,1),(48,1),(51,1),(52,1)}
      42:{1,4,6}:{(29,1),(30,1),(32,1)}
      43:{1,2,5,6}:{(31,1),(32,1),(36,1),(52,1),(58,1)}
      44:{2,3,5}:{(33,1),(34,1),(51,1),(53,1)}
      45:{2,4,6}:{(34,1),(35,1),(36,1),(53,1)}
      46:{2,3,5,6}:{(38,1),(39,1),(54,1)}
      47:{2,3,4}:{(40,1),(55,1)}
      48:{2,4,5}:{(37,1),(55,1),(56,1)}
      49:{1,3,4,6}:{(37,1),(38,1),(42,1),(54,1),(56,1),(57,1)}
      50:{1,4,5,6}:{(39,1),(42,1),(54,1)}
      51:{1,3,5}:{(40,1),(41,1),(44,1),(55,1),(57,1)}
      52:{1,2,4,6}:{(41,1),(42,1),(43,1),(45,1),(56,1),(57,1)}
      53:{2,3,6}:{(44,1),(45,1),(57,1)}
      54:{1,3,5,6}:{(46,1),(49,1),(50,1),(58,1)}
      55:{2,3,5}:{(47,1),(48,1),(51,1),(59,1)}
      56:{2,4,6}:{(48,1),(49,1),(58,1),(59,1)}
      57:{1,3,6}:{(51,1),(52,1),(53,1),(59,1)}
      58:{2,5,6}:{(54,1),(56,1)}
      59:{2,3,6}:{(55,1),(56,1),(57,1)}

691 :  0:{1,3,4,5,6}:{(1,1),(7,1),(18,1)}
       1:{2,4,5,6}:{(0,1),(3,1),(4,1),(11,1),(24,1)}
       2:{2,3,4,5}:{(5,1),(6,1),(26,1),(31,1)}
       3:{2,3,5,6}:{(1,1),(5,1),(7,1)}
       4:{1,4,5,6}:{(1,1),(7,1),(30,1)}
       5:{2,3,4,6}:{(2,1),(3,1),(9,1),(24,1),(32,1)}
       6:{1,3,4,5}:{(2,1),(9,1),(10,1),(20,1),(36,1)}
       7:{1,3,5,6}:{(3,1),(4,1),(9,1),(11,1)}
       8:{1,2,4,5,6}:{(4,1),(11,1),(12,1),(19,1),(24,1),(36,1),(39,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(14,1),(27,1),(30,1)}
      10:{2,4,5}:{(6,1),(14,1),(15,1)}
      11:{2,5,6}:{(7,1),(14,1)}
      12:{1,3,5,6}:{(8,1),(17,1),(18,1),(27,1),(38,1)}
      13:{1,2,4,5}:{(10,1),(19,1),(20,1),(33,1),(36,1),(39,1)}
      14:{2,4,6}:{(9,1),(10,1),(11,1),(21,1)}
      15:{2,3,5}:{(10,1),(20,1),(21,1),(22,1)}
      16:{1,2,5,6}:{(11,1),(19,1),(23,1),(39,1)}
      17:{2,3,5,6}:{(11,1),(12,1),(21,1),(23,1),(24,1),(32,1),(35,1),(39,1)}
      18:{1,3,4,6}:{(12,1),(24,1),(25,1)}
      19:{1,2,4,6}:{(13,1),(14,1),(16,1),(27,1),(30,1),(37,1)}
      20:{1,3,5}:{(13,1),(15,1),(26,1),(27,1),(28,1)}
      21:{2,3,6}:{(14,1),(15,1),(27,1)}
      22:{2,3,4}:{(15,1),(28,1)}
      23:{1,3,5,6}:{(16,1),(17,1),(27,1),(30,1),(38,1)}
      24:{2,4,6}:{(17,1),(18,1),(30,1),(31,1)}
      25:{1,3,4,5}:{(18,1),(31,1),(38,1)}
      26:{2,3,5}:{(20,1),(32,1),(33,1),(39,1)}
      27:{1,3,6}:{(19,1),(20,1),(21,1),(32,1)}
      28:{1,3,4}:{(20,1),(22,1),(33,1)}
      29:{2,3,4,6}:{(21,1),(22,1),(24,1),(34,1),(35,1)}
      30:{1,4,6}:{(23,1),(24,1),(36,1)}
      31:{2,4,5}:{(24,1),(25,1),(35,1),(36,1),(39,1)}
      32:{2,3,6}:{(26,1),(27,1),(37,1)}
      33:{2,4}:{(26,1),(28,1)}
      34:{1,3,4,6}:{(27,1),(28,1),(29,1),(30,1),(37,1),(38,1)}
      35:{2,3,5}:{(29,1),(31,1),(38,1)}
      36:{1,4,5}:{(30,1),(31,1),(38,1)}
      37:{2,4,6}:{(32,1),(33,1),(34,1),(39,1)}
      38:{1,3,5}:{(34,1),(35,1),(36,1),(39,1)}
      39:{2,5}:{(37,1),(38,1)}

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

693 :  0:{2,3,4,5,6}:{(1,1),(7,1),(25,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(28,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(31,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(11,1),(19,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(27,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(7,1),(8,1),(23,1)}
       6:{2,3,4,6}:{(4,1),(8,1),(9,1)}
       7:{2,3,5,6}:{(5,1),(11,1),(20,1)}
       8:{1,3,4,6}:{(5,1),(6,1),(11,1),(12,1)}
       9:{2,3,4,5}:{(6,1),(12,1),(27,1)}
      10:{1,2,3,5,6}:{(7,1),(14,1),(23,1),(32,1)}
      11:{2,4,6}:{(7,1),(8,1),(16,1)}
      12:{1,3,4,5}:{(8,1),(9,1),(16,1),(23,1)}
      13:{2,3,4,5,6}:{(9,1),(17,1),(32,1)}
      14:{1,2,4,6}:{(10,1),(11,1),(18,1),(19,1),(34,1)}
      15:{2,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{2,4,5}:{(11,1),(12,1),(20,1)}
      17:{1,3,4,5,6}:{(12,1),(13,1),(21,1),(29,1)}
      18:{1,3,4,6}:{(14,1),(15,1),(22,1),(23,1)}
      19:{1,2,4,5}:{(14,1),(16,1),(23,1),(31,1)}
      20:{2,3,5}:{(15,1),(16,1),(23,1)}
      21:{2,4,5,6}:{(16,1),(17,1),(26,1)}
      22:{2,3,4,6}:{(18,1),(27,1),(34,1)}
      23:{1,3,5}:{(18,1),(19,1),(20,1),(27,1)}
      24:{1,2,4,5,6}:{(19,1),(21,1),(29,1),(34,1)}
      25:{2,3,4,5}:{(20,1),(28,1),(30,1)}
      26:{2,3,5,6}:{(20,1),(21,1),(29,1),(30,1)}
      27:{2,3,5}:{(22,1),(23,1),(31,1)}
      28:{1,3,4,5}:{(23,1),(25,1),(31,1),(33,1)}
      29:{1,3,5,6}:{(23,1),(24,1),(26,1),(32,1),(33,1)}
      30:{2,3,4,6}:{(25,1),(26,1),(33,1)}
      31:{2,4,5}:{(27,1),(28,1),(34,1)}
      32:{2,3,5,6}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,6}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,6}:{(31,1),(32,1),(33,1)}

694 :  0:{1,2,3,5,6}:{(1,1),(6,1),(20,1),(42,1),(43,1),(56,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(29,1),(51,1)}
       2:{1,2,4,5}:{(1,1),(6,1),(19,1)}
       3:{1,3,4,6}:{(1,1),(6,1),(7,1),(56,1),(57,1)}
       4:{1,3,4,5,6}:{(8,1),(18,1),(25,1)}
       5:{1,2,4,5,6}:{(2,1),(11,1),(16,1),(28,1),(29,1),(36,1),(48,1),(49,1)}
       6:{1,3,5}:{(2,1),(3,1),(12,1)}
       7:{2,3,4,6}:{(3,1),(12,1),(13,1),(29,1),(52,1),(53,1),(58,1),(59,1)}
       8:{2,4,5,6}:{(4,1),(15,1),(16,1),(29,1),(36,1)}
       9:{1,3,4,5,6}:{(17,1),(18,1),(39,1)}
      10:{1,3,4,5}:{(6,1),(18,1),(19,1)}
      11:{1,3,5,6}:{(5,1),(6,1),(18,1),(20,1),(56,1)}
      12:{2,3,5}:{(6,1),(7,1),(19,1),(21,1)}
      13:{1,3,4,6}:{(7,1),(21,1),(22,1),(40,1),(56,1),(57,1)}
      14:{2,3,4,5}:{(19,1),(23,1),(24,1),(55,1)}
      15:{2,3,5,6}:{(8,1),(23,1),(25,1)}
      16:{1,4,5,6}:{(8,1),(25,1),(40,1)}
      17:{2,4,5,6}:{(9,1),(27,1),(28,1),(29,1),(48,1)}
      18:{1,3,4,6}:{(10,1),(11,1),(29,1)}
      19:{2,4,5}:{(10,1),(12,1),(29,1),(30,1)}
      20:{2,3,5,6}:{(11,1),(12,1),(29,1),(31,1),(36,1),(48,1),(52,1),(58,1)}
      21:{1,3,5}:{(12,1),(13,1),(30,1),(32,1)}
      22:{1,2,4,6}:{(13,1),(32,1),(33,1),(51,1)}
      23:{2,3,4,6}:{(14,1),(15,1),(29,1),(34,1),(58,1)}
      24:{1,3,4,5}:{(14,1),(30,1),(34,1),(35,1),(50,1)}
      25:{1,3,5,6}:{(15,1),(16,1),(34,1),(36,1)}
      26:{2,3,4,5}:{(19,1),(37,1),(38,1),(45,1)}
      27:{2,3,5,6}:{(17,1),(37,1),(39,1)}
      28:{1,4,5,6}:{(17,1),(39,1),(40,1)}
      29:{2,4,6}:{(18,1),(19,1),(20,1),(40,1)}
      30:{1,4,5}:{(19,1),(21,1),(40,1)}
      31:{1,3,5,6}:{(20,1),(21,1),(40,1),(42,1),(56,1)}
      32:{1,2,5}:{(21,1),(22,1)}
      33:{1,2,3,6}:{(22,1),(43,1),(56,1)}
      34:{1,3,4,6}:{(23,1),(24,1),(25,1),(40,1),(44,1),(56,1)}
      35:{2,4,5}:{(24,1),(44,1),(45,1)}
      36:{2,5,6}:{(25,1),(44,1)}
      37:{2,3,4,6}:{(26,1),(27,1),(29,1),(46,1),(52,1)}
      38:{1,3,4,5}:{(26,1),(30,1),(46,1),(47,1),(50,1)}
      39:{1,3,5,6}:{(27,1),(28,1),(46,1),(48,1)}
      40:{1,4,6}:{(29,1),(30,1),(31,1)}
      41:{1,2,4,5}:{(30,1),(32,1),(35,1),(47,1),(49,1),(50,1),(51,1)}
      42:{1,2,5,6}:{(31,1),(32,1),(36,1),(48,1),(49,1)}
      43:{1,2,3,5}:{(32,1),(33,1),(50,1),(51,1)}
      44:{2,4,6}:{(34,1),(35,1),(36,1),(52,1)}
      45:{2,3,5}:{(35,1),(50,1),(52,1),(53,1)}
      46:{1,3,4,6}:{(37,1),(38,1),(39,1),(40,1),(54,1),(56,1)}
      47:{2,4,5}:{(38,1),(54,1),(55,1)}
      48:{2,5,6}:{(39,1),(54,1)}
      49:{1,2,4,6}:{(40,1),(41,1),(42,1),(44,1),(54,1),(56,1)}
      50:{1,3,5}:{(41,1),(45,1),(55,1),(56,1),(57,1)}
      51:{1,2,4}:{(43,1),(57,1)}
      52:{2,3,6}:{(44,1),(45,1),(56,1)}
      53:{2,3,4}:{(45,1),(57,1)}
      54:{2,4,6}:{(46,1),(47,1),(48,1),(58,1)}
      55:{2,3,5}:{(47,1),(50,1),(58,1),(59,1)}
      56:{1,3,6}:{(49,1),(50,1),(52,1),(58,1)}
      57:{1,3,4}:{(50,1),(51,1),(53,1),(59,1)}
      58:{2,3,6}:{(54,1),(55,1),(56,1)}
      59:{2,3,4}:{(55,1),(57,1)}

695 :  0:{1,2,3,4,6}:{(1,1),(4,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(9,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{1,3,4,5}:{(3,1),(7,1),(8,1)}
       6:{1,2,4,5,6}:{(4,1),(9,1),(16,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{2,3,4,5}:{(5,1),(10,1),(11,1)}
       9:{1,3,5,6}:{(6,1),(7,1),(13,1)}
      10:{2,3,4,6}:{(7,1),(8,1),(13,1),(14,1)}
      11:{1,3,4,5}:{(8,1),(14,1),(15,1)}
      12:{1,3,4,5,6}:{(9,1),(16,1)}
      13:{2,3,5,6}:{(9,1),(10,1),(16,1),(17,1)}
      14:{1,3,4,6}:{(10,1),(11,1),(17,1),(18,1)}
      15:{1,2,4,5}:{(11,1),(18,1),(19,1)}
      16:{2,4,5,6}:{(12,1),(13,1),(20,1)}
      17:{1,3,5,6}:{(13,1),(14,1),(20,1),(21,1)}
      18:{1,2,4,6}:{(14,1),(15,1),(21,1),(22,1)}
      19:{1,2,3,5}:{(15,1),(22,1),(23,1)}
      20:{1,4,5,6}:{(16,1),(17,1)}
      21:{1,2,5,6}:{(17,1),(18,1)}
      22:{1,2,3,6}:{(18,1),(19,1)}
      23:{1,2,3,4}:{(19,1)}

696 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
       3:{1,2,3,6}:{(1,1),(6,1)}
       4:{2,3,4,5}:{(5,1),(7,1)}
       5:{1,3,4,5}:{(2,1),(4,1),(8,1),(9,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(9,1),(10,1)}
       7:{2,3,4,6}:{(4,1),(9,1),(11,1)}
       8:{2,3,4,5}:{(5,1),(12,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(12,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(13,1)}
      11:{2,3,5,6}:{(7,1),(13,1),(14,1)}
      12:{2,3,4,6}:{(8,1),(9,1),(15,1)}
      13:{1,3,5,6}:{(9,1),(10,1),(11,1),(15,1),(16,1)}
      14:{2,4,5,6}:{(11,1),(16,1),(17,1)}
      15:{2,3,5,6}:{(12,1),(13,1),(18,1)}
      16:{1,4,5,6}:{(13,1),(14,1),(18,1)}
      17:{3,4,5,6}:{(14,1)}
      18:{2,4,5,6}:{(15,1),(16,1),(19,1)}
      19:{3,4,5,6}:{(18,1)}

697 :  0:{2,3,4,5}:{(2,1),(3,1),(38,1),(56,1)}
       1:{1,2,3,5}:{(5,1),(6,1),(28,1),(29,1)}
       2:{1,3,4,5}:{(0,1),(10,1),(11,1),(29,1),(50,1),(52,1)}
       3:{2,3,4,6}:{(0,1),(8,1),(11,1),(49,1),(62,1)}
       4:{2,3,4,5}:{(12,1),(13,1),(20,1),(44,1)}
       5:{1,2,3,6}:{(1,1),(14,1),(42,1)}
       6:{1,2,4}:{(1,1),(15,1)}
       7:{3,4,5,6}:{(17,1),(63,1)}
       8:{2,3,5,6}:{(3,1),(17,1),(19,1)}
       9:{2,3,4}:{(15,1),(20,1)}
      10:{2,4,5}:{(2,1),(20,1),(21,1)}
      11:{1,3,4,6}:{(2,1),(3,1),(19,1),(21,1),(42,1),(58,1),(59,1)}
      12:{1,3,4,5}:{(4,1),(25,1),(26,1),(29,1),(50,1),(60,1)}
      13:{2,3,4,6}:{(4,1),(23,1),(26,1),(34,1),(54,1)}
      14:{1,2,4,6}:{(5,1),(6,1),(27,1),(28,1)}
      15:{1,3,4}:{(6,1),(9,1),(24,1),(29,1)}
      16:{1,2,4,5}:{(6,1),(10,1),(25,1),(28,1),(29,1),(30,1),(50,1)}
      17:{2,4,5,6}:{(7,1),(8,1),(31,1),(62,1)}
      18:{2,3,4,6}:{(9,1),(27,1),(32,1),(34,1),(54,1)}
      19:{1,3,5,6}:{(8,1),(11,1),(31,1),(33,1),(53,1)}
      20:{2,3,5}:{(9,1),(10,1),(29,1),(34,1)}
      21:{2,4,6}:{(10,1),(11,1),(33,1),(34,1)}
      22:{3,4,5,6}:{(35,1),(59,1)}
      23:{2,3,5,6}:{(13,1),(35,1),(37,1)}
      24:{2,3,4}:{(15,1),(38,1)}
      25:{2,4,5}:{(12,1),(38,1),(39,1)}
      26:{1,3,4,6}:{(12,1),(13,1),(37,1),(39,1),(42,1),(58,1),(63,1)}
      27:{1,3,4,6}:{(14,1),(15,1),(18,1),(36,1),(40,1),(42,1),(58,1)}
      28:{1,2,5}:{(14,1),(40,1)}
      29:{1,3,5}:{(15,1),(16,1),(20,1),(38,1),(42,1)}
      30:{1,2,4,6}:{(16,1),(21,1),(39,1),(41,1),(42,1),(58,1)}
      31:{1,4,5,6}:{(17,1),(19,1),(43,1),(58,1)}
      32:{2,3,5}:{(18,1),(40,1),(44,1)}
      33:{2,5,6}:{(19,1),(21,1)}
      34:{2,3,6}:{(20,1),(21,1),(42,1)}
      35:{2,4,5,6}:{(22,1),(23,1),(46,1),(54,1)}
      36:{2,3,4,6}:{(24,1),(27,1),(47,1),(49,1),(62,1)}
      37:{1,3,5,6}:{(23,1),(26,1),(46,1),(48,1),(61,1)}
      38:{2,3,5}:{(24,1),(25,1),(29,1),(49,1)}
      39:{2,4,6}:{(25,1),(26,1),(48,1),(49,1)}
      40:{1,3,5}:{(27,1),(28,1),(32,1),(47,1),(50,1)}
      41:{1,2,5,6}:{(28,1),(30,1),(33,1),(48,1),(51,1)}
      42:{1,3,6}:{(29,1),(30,1),(34,1),(49,1)}
      43:{2,4,5,6}:{(31,1),(33,1),(53,1),(54,1)}
      44:{2,4,5}:{(32,1),(50,1),(52,1),(54,1)}
      45:{2,3,5,6}:{(32,1),(33,1),(34,1),(51,1),(53,1),(54,1)}
      46:{1,4,5,6}:{(35,1),(37,1),(55,1),(58,1)}
      47:{2,3,5}:{(36,1),(40,1),(56,1)}
      48:{2,5,6}:{(37,1),(39,1)}
      49:{2,3,6}:{(38,1),(39,1),(42,1)}
      50:{1,4,5}:{(40,1),(44,1),(56,1),(58,1)}
      51:{1,3,5,6}:{(40,1),(41,1),(42,1),(45,1),(57,1),(58,1)}
      52:{3,4,5}:{(44,1),(59,1)}
      53:{3,5,6}:{(43,1),(59,1)}
      54:{2,4,6}:{(44,1),(45,1),(58,1),(59,1)}
      55:{2,4,5,6}:{(46,1),(48,1),(61,1),(62,1)}
      56:{2,4,5}:{(47,1),(50,1),(60,1),(62,1)}
      57:{2,3,5,6}:{(47,1),(48,1),(49,1),(51,1),(61,1),(62,1)}
      58:{1,4,6}:{(50,1),(51,1),(54,1),(62,1)}
      59:{3,4,6}:{(52,1),(53,1),(54,1)}
      60:{3,4,5}:{(56,1),(63,1)}
      61:{3,5,6}:{(55,1),(63,1)}
      62:{2,4,6}:{(56,1),(57,1),(58,1),(63,1)}
      63:{3,4,6}:{(60,1),(61,1),(62,1)}

698 :  0:{3,4,5,6}:{(2,1),(61,1)}
       1:{2,3,4,5}:{(4,1),(5,1),(38,1),(51,1)}
       2:{2,4,5,6}:{(0,1),(7,1),(8,1),(58,1)}
       3:{1,2,3,5}:{(6,1),(9,1),(22,1),(28,1)}
       4:{1,3,4,5}:{(1,1),(11,1),(12,1),(25,1),(28,1),(43,1)}
       5:{2,3,4,6}:{(1,1),(7,1),(12,1),(48,1),(58,1)}
       6:{1,2,3,6}:{(3,1),(13,1),(40,1)}
       7:{2,3,5,6}:{(2,1),(5,1),(15,1)}
       8:{1,4,5,6}:{(2,1),(15,1),(16,1),(53,1)}
       9:{1,2,4}:{(3,1),(17,1)}
      10:{2,3,4}:{(17,1),(19,1)}
      11:{2,4,5}:{(4,1),(19,1),(20,1)}
      12:{1,3,4,6}:{(4,1),(5,1),(15,1),(20,1),(37,1),(40,1),(53,1)}
      13:{1,2,4,6}:{(6,1),(9,1),(21,1),(22,1)}
      14:{2,3,4,6}:{(10,1),(21,1),(23,1),(31,1),(45,1)}
      15:{1,3,5,6}:{(7,1),(8,1),(12,1),(24,1),(26,1)}
      16:{2,4,5,6}:{(8,1),(24,1),(26,1),(45,1)}
      17:{1,3,4}:{(9,1),(10,1),(27,1),(28,1)}
      18:{1,2,4,5}:{(9,1),(11,1),(22,1),(28,1),(29,1),(43,1),(47,1)}
      19:{2,3,5}:{(10,1),(11,1),(28,1),(31,1)}
      20:{2,4,6}:{(11,1),(12,1),(24,1),(31,1)}
      21:{1,3,4,6}:{(13,1),(14,1),(17,1),(32,1),(33,1),(40,1),(53,1)}
      22:{1,2,5}:{(13,1),(33,1)}
      23:{2,3,5}:{(14,1),(33,1),(35,1)}
      24:{2,5,6}:{(15,1),(20,1)}
      25:{3,4,5}:{(35,1),(37,1)}
      26:{3,5,6}:{(16,1),(37,1)}
      27:{2,3,4}:{(17,1),(38,1)}
      28:{1,3,5}:{(17,1),(18,1),(19,1),(38,1),(40,1)}
      29:{1,2,4,6}:{(18,1),(20,1),(34,1),(40,1),(53,1),(55,1)}
      30:{2,3,4,5}:{(19,1),(35,1),(39,1),(41,1)}
      31:{2,3,6}:{(19,1),(20,1),(40,1)}
      32:{2,3,4,6}:{(21,1),(27,1),(42,1),(48,1),(58,1)}
      33:{1,3,5}:{(21,1),(22,1),(23,1),(42,1),(43,1)}
      34:{1,2,5,6}:{(22,1),(24,1),(29,1),(44,1),(60,1)}
      35:{2,4,5}:{(23,1),(25,1),(43,1),(45,1)}
      36:{2,3,5,6}:{(23,1),(24,1),(26,1),(31,1),(44,1),(45,1)}
      37:{3,4,6}:{(25,1),(26,1),(45,1)}
      38:{2,3,5}:{(27,1),(28,1),(47,1),(48,1)}
      39:{1,3,4,5}:{(28,1),(30,1),(43,1),(47,1),(49,1),(57,1)}
      40:{1,3,6}:{(28,1),(29,1),(31,1),(48,1)}
      41:{2,3,4,6}:{(30,1),(31,1),(45,1),(49,1),(50,1)}
      42:{2,3,5}:{(32,1),(33,1),(51,1)}
      43:{1,4,5}:{(33,1),(35,1),(51,1),(53,1)}
      44:{1,3,5,6}:{(33,1),(34,1),(36,1),(40,1),(52,1),(53,1)}
      45:{2,4,6}:{(35,1),(36,1),(37,1),(53,1)}
      46:{3,4,5,6}:{(37,1),(54,1)}
      47:{2,4,5}:{(38,1),(39,1),(55,1)}
      48:{2,3,6}:{(38,1),(40,1),(55,1)}
      49:{1,3,4,6}:{(39,1),(40,1),(41,1),(53,1),(55,1),(56,1),(61,1)}
      50:{2,3,5,6}:{(41,1),(54,1),(56,1)}
      51:{2,4,5}:{(42,1),(43,1),(57,1),(58,1)}
      52:{2,3,5,6}:{(42,1),(44,1),(48,1),(58,1),(60,1),(63,1)}
      53:{1,4,6}:{(43,1),(44,1),(45,1),(58,1)}
      54:{2,4,5,6}:{(45,1),(46,1),(50,1),(59,1)}
      55:{2,4,6}:{(47,1),(48,1),(49,1),(60,1)}
      56:{1,3,5,6}:{(49,1),(50,1),(59,1),(60,1),(63,1)}
      57:{3,4,5}:{(51,1),(61,1)}
      58:{2,4,6}:{(51,1),(52,1),(53,1),(61,1)}
      59:{1,4,5,6}:{(53,1),(54,1),(56,1),(62,1)}
      60:{2,5,6}:{(55,1),(56,1)}
      61:{3,4,6}:{(57,1),(58,1),(63,1)}
      62:{2,4,5,6}:{(58,1),(59,1),(60,1),(63,1)}
      63:{3,5,6}:{(61,1),(62,1)}

699 :  0:{2,3,4,5}:{(2,1),(3,1),(33,1),(62,1)}
       1:{3,4,5,6}:{(4,1),(61,1)}
       2:{2,3,4,6}:{(0,1),(6,1),(7,1),(43,1),(58,1)}
       3:{1,3,4,5}:{(0,1),(7,1),(8,1),(23,1),(50,1),(60,1)}
       4:{2,4,5,6}:{(1,1),(6,1),(9,1),(58,1)}
       5:{2,3,4,5}:{(10,1),(11,1),(16,1),(56,1)}
       6:{2,3,5,6}:{(2,1),(4,1),(14,1)}
       7:{1,3,4,6}:{(2,1),(3,1),(14,1),(15,1),(35,1),(40,1),(54,1)}
       8:{2,4,5}:{(3,1),(15,1),(16,1)}
       9:{1,4,5,6}:{(4,1),(14,1),(17,1),(54,1)}
      10:{2,3,4,6}:{(5,1),(19,1),(20,1),(27,1),(48,1)}
      11:{1,3,4,5}:{(5,1),(20,1),(21,1),(23,1),(60,1),(63,1)}
      12:{1,2,4,5}:{(8,1),(21,1),(22,1),(23,1),(25,1),(47,1),(60,1)}
      13:{1,2,3,5}:{(23,1),(24,1),(25,1),(47,1)}
      14:{1,3,5,6}:{(6,1),(7,1),(9,1),(26,1),(29,1)}
      15:{2,4,6}:{(7,1),(8,1),(26,1),(27,1)}
      16:{2,3,5}:{(8,1),(23,1),(27,1),(28,1)}
      17:{2,4,5,6}:{(9,1),(26,1),(29,1),(48,1)}
      18:{3,4,5,6}:{(30,1),(40,1)}
      19:{2,3,5,6}:{(10,1),(30,1),(31,1)}
      20:{1,3,4,6}:{(10,1),(11,1),(31,1),(32,1),(35,1),(54,1),(61,1)}
      21:{2,4,5}:{(11,1),(32,1),(33,1)}
      22:{1,2,4,6}:{(12,1),(15,1),(32,1),(34,1),(35,1),(54,1)}
      23:{1,3,5}:{(12,1),(16,1),(33,1),(35,1),(36,1)}
      24:{1,2,3,6}:{(13,1),(35,1),(37,1)}
      25:{1,2,4}:{(13,1),(36,1)}
      26:{2,5,6}:{(14,1),(15,1)}
      27:{2,3,6}:{(15,1),(16,1),(35,1)}
      28:{2,3,4}:{(16,1),(36,1)}
      29:{3,5,6}:{(17,1),(40,1)}
      30:{2,4,5,6}:{(18,1),(19,1),(41,1),(48,1)}
      31:{1,3,5,6}:{(19,1),(20,1),(41,1),(42,1),(57,1)}
      32:{2,4,6}:{(20,1),(21,1),(42,1),(43,1)}
      33:{2,3,5}:{(21,1),(23,1),(43,1),(44,1)}
      34:{1,2,5,6}:{(22,1),(26,1),(42,1),(45,1),(47,1)}
      35:{1,3,6}:{(22,1),(23,1),(27,1),(43,1)}
      36:{1,3,4}:{(23,1),(25,1),(28,1),(44,1)}
      37:{1,2,4,6}:{(24,1),(25,1),(46,1),(47,1)}
      38:{2,3,5,6}:{(26,1),(27,1),(29,1),(45,1),(48,1),(49,1)}
      39:{2,3,4,6}:{(27,1),(28,1),(46,1),(48,1),(49,1)}
      40:{3,4,6}:{(29,1),(48,1),(50,1)}
      41:{1,4,5,6}:{(30,1),(31,1),(51,1),(54,1)}
      42:{2,5,6}:{(31,1),(32,1)}
      43:{2,3,6}:{(32,1),(33,1),(35,1)}
      44:{2,3,4}:{(33,1),(36,1)}
      45:{1,3,5,6}:{(34,1),(35,1),(38,1),(52,1),(54,1),(55,1)}
      46:{1,3,4,6}:{(35,1),(36,1),(37,1),(39,1),(53,1),(54,1),(55,1)}
      47:{1,2,5}:{(37,1),(55,1)}
      48:{2,4,6}:{(38,1),(40,1),(54,1),(56,1)}
      49:{2,3,5}:{(39,1),(55,1),(56,1)}
      50:{3,4,5}:{(40,1),(56,1)}
      51:{2,4,5,6}:{(41,1),(42,1),(57,1),(58,1)}
      52:{2,3,5,6}:{(42,1),(43,1),(45,1),(57,1),(58,1),(59,1)}
      53:{2,3,4,6}:{(43,1),(44,1),(46,1),(58,1),(59,1)}
      54:{1,4,6}:{(45,1),(48,1),(58,1),(60,1)}
      55:{1,3,5}:{(46,1),(47,1),(49,1),(59,1),(60,1)}
      56:{2,4,5}:{(48,1),(49,1),(50,1),(60,1)}
      57:{3,5,6}:{(51,1),(61,1)}
      58:{2,4,6}:{(52,1),(54,1),(61,1),(62,1)}
      59:{2,3,5}:{(53,1),(55,1),(62,1)}
      60:{1,4,5}:{(54,1),(55,1),(56,1),(62,1)}
      61:{3,4,6}:{(57,1),(58,1),(63,1)}
      62:{2,4,5}:{(58,1),(59,1),(60,1),(63,1)}
      63:{3,4,5}:{(61,1),(62,1)}

700 :  0:{2,3,4,5,6}:{(1,1),(8,1),(10,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(14,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(19,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(13,1),(16,1),(22,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(23,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(8,1),(9,1),(20,1),(24,1)}
       6:{2,3,4,6}:{(4,1),(9,1),(10,1)}
       7:{1,2,3,5,6}:{(8,1),(11,1),(20,1)}
       8:{2,3,5,6}:{(5,1),(13,1),(23,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(14,1),(23,1)}
      11:{1,2,4,6}:{(7,1),(13,1),(15,1),(16,1)}
      12:{1,2,3,5,6}:{(8,1),(17,1),(24,1)}
      13:{2,4,6}:{(8,1),(9,1),(19,1)}
      14:{1,3,4,5}:{(9,1),(10,1),(19,1),(20,1),(24,1)}
      15:{1,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{1,2,4,5}:{(11,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(21,1),(22,1)}
      18:{2,3,4,6}:{(13,1),(15,1),(21,1),(23,1)}
      19:{2,4,5}:{(13,1),(14,1),(23,1)}
      20:{1,3,5}:{(15,1),(16,1),(23,1)}
      21:{1,3,4,6}:{(17,1),(18,1),(24,1)}
      22:{1,2,4,5}:{(17,1),(19,1),(24,1)}
      23:{2,3,5}:{(18,1),(19,1),(20,1),(24,1)}
      24:{1,3,5}:{(21,1),(22,1),(23,1)}

701 :  0:{1,2,3,4,6}:{(1,1),(4,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(9,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{1,3,4,5}:{(3,1),(7,1),(8,1)}
       6:{1,2,4,5,6}:{(4,1),(9,1),(16,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(9,1),(10,1)}
       8:{2,3,4,5}:{(5,1),(10,1),(11,1)}
       9:{1,3,5,6}:{(6,1),(7,1),(13,1)}
      10:{2,3,4,6}:{(7,1),(8,1),(13,1),(14,1)}
      11:{1,3,4,5}:{(8,1),(14,1),(15,1)}
      12:{1,3,4,5,6}:{(9,1),(16,1)}
      13:{2,3,5,6}:{(9,1),(10,1),(16,1),(17,1)}
      14:{1,3,4,6}:{(10,1),(11,1),(17,1),(18,1)}
      15:{1,2,4,5}:{(11,1),(18,1),(19,1)}
      16:{2,4,5,6}:{(12,1),(13,1),(20,1)}
      17:{1,3,5,6}:{(13,1),(14,1),(20,1),(21,1)}
      18:{1,2,4,6}:{(14,1),(15,1),(21,1),(22,1)}
      19:{1,2,3,5}:{(15,1),(22,1),(23,1)}
      20:{1,4,5,6}:{(16,1),(17,1)}
      21:{1,2,5,6}:{(17,1),(18,1)}
      22:{1,2,3,6}:{(18,1),(19,1)}
      23:{1,2,3,4}:{(19,1)}

702 :  0:{1,2,3,4,6}:{(1,1),(5,1)}
       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),(13,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       6:{1,2,3,4}:{(10,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1)}
       9:{1,2,4,5,6}:{(5,1),(13,1),(19,1)}
      10:{1,2,3,5}:{(6,1),(15,1),(16,1)}
      11:{1,3,4,5}:{(7,1),(15,1),(17,1)}
      12:{2,3,4,6}:{(7,1),(8,1),(17,1),(18,1)}
      13:{1,3,5,6}:{(8,1),(9,1),(18,1)}
      14:{1,3,4,5,6}:{(13,1),(19,1)}
      15:{1,2,4,5}:{(10,1),(11,1),(20,1)}
      16:{1,2,3,6}:{(10,1),(20,1)}
      17:{1,3,4,6}:{(11,1),(12,1),(20,1),(21,1)}
      18:{2,3,5,6}:{(12,1),(13,1),(19,1),(21,1)}
      19:{2,4,5,6}:{(14,1),(18,1),(22,1)}
      20:{1,2,4,6}:{(15,1),(16,1),(17,1),(23,1)}
      21:{1,3,5,6}:{(17,1),(18,1),(22,1),(23,1)}
      22:{1,4,5,6}:{(19,1),(21,1)}
      23:{1,2,5,6}:{(20,1),(21,1)}

703 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(3,1),(4,1)}
       2:{1,2,3,4}:{(5,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
       4:{1,2,3,6}:{(1,1),(7,1)}
       5:{1,2,3,5}:{(2,1),(8,1),(9,1)}
       6:{1,3,4,5}:{(3,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(11,1),(12,1)}
       8:{1,2,4,5}:{(5,1),(13,1),(14,1)}
       9:{1,2,3,6}:{(5,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(13,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(7,1),(15,1),(16,1)}
      12:{1,2,5,6}:{(7,1),(16,1)}
      13:{1,3,4,5}:{(8,1),(10,1),(17,1)}
      14:{1,2,4,6}:{(8,1),(9,1),(17,1),(18,1)}
      15:{2,3,4,6}:{(10,1),(11,1),(17,1),(19,1)}
      16:{1,3,5,6}:{(11,1),(12,1),(19,1),(20,1)}
      17:{1,3,4,6}:{(13,1),(14,1),(15,1),(21,1)}
      18:{1,2,5,6}:{(14,1),(21,1)}
      19:{2,3,5,6}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,4,5,6}:{(16,1),(22,1)}
      21:{1,3,5,6}:{(17,1),(18,1),(19,1),(23,1)}
      22:{2,4,5,6}:{(19,1),(20,1),(23,1),(24,1)}
      23:{1,4,5,6}:{(21,1),(22,1)}
      24:{3,4,5,6}:{(22,1)}

704 :  0:{1,2,3,5,6}:{(2,1),(10,1),(16,1),(33,1),(35,1),(48,1)}
       1:{1,3,4,5,6}:{(3,1),(15,1),(36,1)}
       2:{1,2,4,6}:{(0,1),(7,1),(8,1),(18,1),(44,1)}
       3:{2,4,5,6}:{(1,1),(6,1),(9,1),(25,1),(44,1)}
       4:{2,3,4,5}:{(11,1),(12,1),(34,1),(46,1)}
       5:{1,2,3,6}:{(10,1),(13,1),(48,1)}
       6:{2,3,5,6}:{(3,1),(12,1),(15,1)}
       7:{1,3,4,6}:{(2,1),(14,1),(16,1),(28,1),(48,1)}
       8:{1,2,4,5}:{(2,1),(16,1),(34,1)}
       9:{1,4,5,6}:{(3,1),(15,1),(50,1)}
      10:{1,2,3,5}:{(5,1),(18,1),(23,1),(38,1)}
      11:{1,3,4,5}:{(4,1),(20,1),(21,1),(38,1),(42,1)}
      12:{2,3,4,6}:{(4,1),(6,1),(21,1),(44,1),(53,1)}
      13:{1,2,4,6}:{(5,1),(18,1),(22,1),(23,1)}
      14:{2,3,4,6}:{(7,1),(19,1),(22,1),(24,1),(37,1),(41,1),(44,1),(53,1)}
      15:{1,3,5,6}:{(6,1),(9,1),(21,1),(25,1)}
      16:{1,3,5}:{(7,1),(8,1),(24,1)}
      17:{1,2,4,5,6}:{(8,1),(9,1),(25,1),(27,1),(39,1),(44,1),(56,1),(59,1)}
      18:{1,2,4}:{(10,1),(28,1)}
      19:{2,3,4}:{(28,1),(30,1)}
      20:{2,4,5}:{(11,1),(30,1),(31,1)}
      21:{1,3,4,6}:{(11,1),(12,1),(15,1),(31,1),(48,1),(50,1)}
      22:{1,3,4,6}:{(13,1),(14,1),(28,1),(32,1),(48,1),(50,1)}
      23:{1,2,5}:{(13,1),(32,1)}
      24:{2,3,5}:{(14,1),(16,1),(32,1),(34,1)}
      25:{2,5,6}:{(15,1),(31,1)}
      26:{1,3,4,5}:{(16,1),(34,1),(36,1)}
      27:{1,3,5,6}:{(16,1),(17,1),(35,1),(36,1),(48,1)}
      28:{1,3,4}:{(18,1),(19,1),(37,1),(38,1)}
      29:{1,2,4,5}:{(18,1),(20,1),(23,1),(38,1),(39,1),(42,1),(52,1)}
      30:{2,3,5}:{(19,1),(20,1),(38,1),(41,1)}
      31:{2,4,6}:{(20,1),(21,1),(25,1),(41,1)}
      32:{1,3,5}:{(22,1),(23,1),(24,1),(42,1)}
      33:{1,2,5,6}:{(23,1),(25,1),(39,1),(43,1),(59,1)}
      34:{2,4,5}:{(24,1),(26,1),(42,1),(44,1)}
      35:{2,3,5,6}:{(24,1),(25,1),(27,1),(41,1),(43,1),(44,1),(53,1),(59,1)}
      36:{1,3,4,6}:{(26,1),(27,1),(44,1)}
      37:{2,3,4}:{(28,1),(46,1)}
      38:{1,3,5}:{(28,1),(29,1),(30,1),(46,1),(48,1)}
      39:{1,2,4,6}:{(29,1),(31,1),(33,1),(48,1),(50,1),(57,1)}
      40:{2,3,4,5}:{(30,1),(34,1),(47,1),(49,1)}
      41:{2,3,6}:{(30,1),(31,1),(48,1)}
      42:{1,4,5}:{(32,1),(34,1),(50,1)}
      43:{1,3,5,6}:{(32,1),(33,1),(35,1),(48,1),(50,1)}
      44:{2,4,6}:{(34,1),(35,1),(36,1),(50,1)}
      45:{1,3,4,5,6}:{(36,1),(51,1),(58,1)}
      46:{2,3,5}:{(37,1),(38,1),(52,1),(53,1)}
      47:{1,3,4,5}:{(38,1),(40,1),(42,1),(52,1),(54,1)}
      48:{1,3,6}:{(38,1),(39,1),(41,1),(53,1)}
      49:{2,3,4,6}:{(40,1),(41,1),(44,1),(54,1),(55,1)}
      50:{1,4,6}:{(42,1),(43,1),(44,1)}
      51:{2,4,5,6}:{(44,1),(45,1),(55,1),(56,1),(59,1)}
      52:{2,4,5}:{(46,1),(47,1),(57,1)}
      53:{2,3,6}:{(46,1),(48,1),(57,1)}
      54:{1,3,4,6}:{(47,1),(48,1),(49,1),(50,1),(57,1),(58,1)}
      55:{2,3,5,6}:{(49,1),(51,1),(58,1)}
      56:{1,4,5,6}:{(50,1),(51,1),(58,1)}
      57:{2,4,6}:{(52,1),(53,1),(54,1),(59,1)}
      58:{1,3,5,6}:{(54,1),(55,1),(56,1),(59,1)}
      59:{2,5,6}:{(57,1),(58,1)}

705 :  0:{2,3,4,5,6}:{(1,1),(9,1),(30,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(6,1),(33,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(34,1)}
       3:{1,2,4,5,6}:{(2,1),(6,1),(14,1),(23,1)}
       4:{2,3,5,6}:{(2,1),(6,1),(7,1),(32,1)}
       5:{2,3,4,5,6}:{(8,1),(11,1),(26,1)}
       6:{1,3,5,6}:{(3,1),(4,1),(9,1),(10,1),(29,1)}
       7:{2,3,4,6}:{(4,1),(10,1),(11,1)}
       8:{1,3,4,5,6}:{(5,1),(13,1),(15,1),(21,1)}
       9:{2,3,5,6}:{(6,1),(14,1),(25,1)}
      10:{1,3,4,6}:{(6,1),(7,1),(14,1),(15,1)}
      11:{2,3,4,5}:{(7,1),(15,1),(32,1)}
      12:{1,2,3,5,6}:{(9,1),(17,1),(26,1),(29,1)}
      13:{2,4,5,6}:{(8,1),(18,1),(20,1)}
      14:{2,4,6}:{(9,1),(10,1),(20,1)}
      15:{1,3,4,5}:{(10,1),(11,1),(20,1),(29,1)}
      16:{1,2,4,5,6}:{(13,1),(21,1),(23,1),(31,1)}
      17:{1,2,4,6}:{(12,1),(14,1),(22,1),(23,1),(31,1)}
      18:{2,3,5,6}:{(13,1),(21,1),(24,1),(25,1)}
      19:{2,3,4,6}:{(14,1),(22,1),(25,1)}
      20:{2,4,5}:{(14,1),(15,1),(25,1)}
      21:{1,3,5,6}:{(16,1),(18,1),(26,1),(28,1),(29,1)}
      22:{1,3,4,6}:{(17,1),(19,1),(27,1),(29,1)}
      23:{1,2,4,5}:{(17,1),(20,1),(29,1),(34,1)}
      24:{2,3,4,6}:{(18,1),(28,1),(30,1)}
      25:{2,3,5}:{(19,1),(20,1),(29,1)}
      26:{2,3,5,6}:{(21,1),(31,1),(32,1)}
      27:{2,3,4,6}:{(22,1),(31,1),(32,1)}
      28:{1,3,4,6}:{(21,1),(24,1),(31,1),(33,1)}
      29:{1,3,5}:{(22,1),(23,1),(25,1),(32,1)}
      30:{2,3,4,5}:{(24,1),(25,1),(33,1)}
      31:{2,4,6}:{(26,1),(28,1),(34,1)}
      32:{2,3,5}:{(27,1),(29,1),(34,1)}
      33:{1,3,4,5}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,4,5}:{(31,1),(32,1),(33,1)}

706 :  0:{1,2,3,5,6}:{(1,1),(6,1),(19,1),(24,1),(46,1),(58,1)}
       1:{1,2,4,6}:{(0,1),(2,1),(3,1),(31,1),(33,1)}
       2:{1,3,4,6}:{(1,1),(5,1),(6,1),(43,1),(58,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(20,1)}
       4:{1,3,4,5,6}:{(8,1),(21,1),(27,1)}
       5:{2,3,4,6}:{(2,1),(12,1),(13,1),(33,1),(36,1),(49,1),(55,1),(59,1)}
       6:{1,3,5}:{(2,1),(3,1),(13,1)}
       7:{1,2,4,5,6}:{(3,1),(14,1),(17,1),(30,1),(33,1),(39,1),(52,1),(54,1)}
       8:{2,4,5,6}:{(4,1),(16,1),(17,1),(33,1),(39,1)}
       9:{1,3,4,5,6}:{(18,1),(21,1),(42,1)}
      10:{1,3,4,5}:{(6,1),(20,1),(21,1)}
      11:{1,2,3,6}:{(19,1),(22,1),(58,1)}
      12:{1,3,4,6}:{(5,1),(22,1),(23,1),(43,1),(45,1),(58,1)}
      13:{2,3,5}:{(5,1),(6,1),(20,1),(23,1)}
      14:{1,3,5,6}:{(6,1),(7,1),(21,1),(24,1),(58,1)}
      15:{2,3,4,5}:{(20,1),(25,1),(26,1),(56,1)}
      16:{2,3,5,6}:{(8,1),(26,1),(27,1)}
      17:{1,4,5,6}:{(8,1),(27,1),(45,1)}
      18:{2,4,5,6}:{(9,1),(29,1),(30,1),(33,1),(52,1)}
      19:{1,2,3,5}:{(11,1),(31,1),(34,1),(53,1)}
      20:{2,4,5}:{(10,1),(13,1),(32,1),(33,1)}
      21:{1,3,4,6}:{(10,1),(14,1),(33,1)}
      22:{1,2,4,6}:{(11,1),(12,1),(31,1),(34,1)}
      23:{1,3,5}:{(12,1),(13,1),(32,1),(34,1)}
      24:{2,3,5,6}:{(13,1),(14,1),(33,1),(35,1),(39,1),(52,1),(55,1),(59,1)}
      25:{1,3,4,5}:{(15,1),(32,1),(37,1),(38,1),(53,1)}
      26:{2,3,4,6}:{(15,1),(16,1),(33,1),(38,1),(59,1)}
      27:{1,3,5,6}:{(16,1),(17,1),(38,1),(39,1)}
      28:{2,3,4,5}:{(20,1),(40,1),(41,1),(47,1)}
      29:{2,3,5,6}:{(18,1),(41,1),(42,1)}
      30:{1,4,5,6}:{(18,1),(42,1),(45,1)}
      31:{1,2,4}:{(19,1),(43,1)}
      32:{1,4,5}:{(20,1),(23,1),(45,1)}
      33:{2,4,6}:{(20,1),(21,1),(24,1),(45,1)}
      34:{1,2,5}:{(22,1),(23,1)}
      35:{1,3,5,6}:{(23,1),(24,1),(45,1),(46,1),(58,1)}
      36:{2,3,4}:{(43,1),(47,1)}
      37:{2,4,5}:{(25,1),(47,1),(48,1)}
      38:{1,3,4,6}:{(25,1),(26,1),(27,1),(45,1),(48,1),(58,1)}
      39:{2,5,6}:{(27,1),(48,1)}
      40:{1,3,4,5}:{(28,1),(32,1),(50,1),(51,1),(53,1)}
      41:{2,3,4,6}:{(28,1),(29,1),(33,1),(51,1),(55,1)}
      42:{1,3,5,6}:{(29,1),(30,1),(51,1),(52,1)}
      43:{1,3,4}:{(31,1),(36,1),(49,1),(53,1)}
      44:{1,2,4,5}:{(31,1),(32,1),(34,1),(37,1),(50,1),(53,1),(54,1)}
      45:{1,4,6}:{(32,1),(33,1),(35,1)}
      46:{1,2,5,6}:{(34,1),(35,1),(39,1),(52,1),(54,1)}
      47:{2,3,5}:{(36,1),(37,1),(53,1),(55,1)}
      48:{2,4,6}:{(37,1),(38,1),(39,1),(55,1)}
      49:{2,3,4}:{(43,1),(56,1)}
      50:{2,4,5}:{(40,1),(56,1),(57,1)}
      51:{1,3,4,6}:{(40,1),(41,1),(42,1),(45,1),(57,1),(58,1)}
      52:{2,5,6}:{(42,1),(57,1)}
      53:{1,3,5}:{(43,1),(44,1),(47,1),(56,1),(58,1)}
      54:{1,2,4,6}:{(44,1),(45,1),(46,1),(48,1),(57,1),(58,1)}
      55:{2,3,6}:{(47,1),(48,1),(58,1)}
      56:{2,3,5}:{(49,1),(50,1),(53,1),(59,1)}
      57:{2,4,6}:{(50,1),(51,1),(52,1),(59,1)}
      58:{1,3,6}:{(53,1),(54,1),(55,1),(59,1)}
      59:{2,3,6}:{(56,1),(57,1),(58,1)}

707 :  0:{1,2,3,5,6}:{(3,1),(13,1),(14,1),(32,1),(49,1),(50,1)}
       1:{1,3,4,5,6}:{(4,1),(12,1),(17,1)}
       2:{1,2,4,5,6}:{(6,1),(7,1),(10,1),(19,1),(21,1),(27,1),(39,1),(41,1)}
       3:{1,2,4,6}:{(0,1),(7,1),(8,1),(21,1),(55,1)}
       4:{2,4,5,6}:{(1,1),(9,1),(10,1),(21,1),(27,1)}
       5:{1,3,4,5,6}:{(11,1),(12,1),(29,1)}
       6:{1,3,5,6}:{(2,1),(12,1),(13,1),(14,1),(49,1)}
       7:{1,2,4,5}:{(3,1),(14,1),(30,1)}
       8:{1,3,4,6}:{(3,1),(14,1),(15,1),(49,1),(58,1)}
       9:{2,3,5,6}:{(4,1),(16,1),(17,1)}
      10:{1,4,5,6}:{(4,1),(17,1),(31,1)}
      11:{2,4,5,6}:{(5,1),(18,1),(19,1),(21,1),(39,1)}
      12:{1,3,4,6}:{(6,1),(20,1),(21,1)}
      13:{2,3,5,6}:{(6,1),(21,1),(22,1),(23,1),(27,1),(39,1),(45,1),(53,1)}
      14:{1,3,5}:{(7,1),(8,1),(23,1)}
      15:{2,3,4,6}:{(8,1),(21,1),(23,1),(24,1),(45,1),(53,1),(56,1),(59,1)}
      16:{2,3,4,6}:{(9,1),(21,1),(25,1),(26,1),(53,1)}
      17:{1,3,5,6}:{(9,1),(10,1),(26,1),(27,1)}
      18:{2,3,5,6}:{(11,1),(28,1),(29,1)}
      19:{1,4,5,6}:{(11,1),(29,1),(31,1)}
      20:{1,3,4,5}:{(12,1),(14,1),(30,1)}
      21:{2,4,6}:{(12,1),(13,1),(30,1),(31,1)}
      22:{1,3,5,6}:{(13,1),(31,1),(32,1),(33,1),(49,1)}
      23:{2,3,5}:{(14,1),(15,1),(30,1),(33,1)}
      24:{1,3,4,6}:{(15,1),(31,1),(33,1),(34,1),(49,1),(58,1)}
      25:{2,3,4,5}:{(16,1),(30,1),(35,1),(57,1)}
      26:{1,3,4,6}:{(16,1),(17,1),(31,1),(35,1),(36,1),(49,1)}
      27:{2,5,6}:{(17,1),(36,1)}
      28:{2,3,4,6}:{(18,1),(21,1),(37,1),(38,1),(45,1)}
      29:{1,3,5,6}:{(18,1),(19,1),(38,1),(39,1)}
      30:{2,4,5}:{(20,1),(21,1),(23,1),(40,1)}
      31:{1,4,6}:{(21,1),(22,1),(40,1)}
      32:{1,2,5,6}:{(22,1),(27,1),(39,1),(41,1),(42,1)}
      33:{1,3,5}:{(23,1),(24,1),(40,1),(42,1)}
      34:{1,2,4,6}:{(24,1),(42,1),(43,1),(55,1)}
      35:{1,3,4,5}:{(25,1),(26,1),(40,1),(44,1),(54,1)}
      36:{2,4,6}:{(26,1),(27,1),(44,1),(45,1)}
      37:{2,3,4,5}:{(28,1),(30,1),(46,1),(51,1)}
      38:{1,3,4,6}:{(28,1),(29,1),(31,1),(46,1),(47,1),(49,1)}
      39:{2,5,6}:{(29,1),(47,1)}
      40:{1,4,5}:{(30,1),(31,1),(33,1)}
      41:{1,2,4,6}:{(31,1),(32,1),(36,1),(47,1),(48,1),(49,1)}
      42:{1,2,5}:{(33,1),(34,1)}
      43:{1,2,3,6}:{(34,1),(49,1),(50,1)}
      44:{2,4,5}:{(35,1),(36,1),(51,1)}
      45:{2,3,6}:{(36,1),(49,1),(51,1)}
      46:{1,3,4,5}:{(37,1),(38,1),(40,1),(52,1),(54,1)}
      47:{2,4,6}:{(38,1),(39,1),(52,1),(53,1)}
      48:{1,2,4,5}:{(40,1),(41,1),(42,1),(44,1),(52,1),(54,1),(55,1)}
      49:{1,3,6}:{(41,1),(45,1),(53,1),(54,1)}
      50:{1,2,3,5}:{(42,1),(43,1),(54,1),(55,1)}
      51:{2,3,5}:{(44,1),(45,1),(54,1),(56,1)}
      52:{2,4,5}:{(46,1),(47,1),(57,1)}
      53:{2,3,6}:{(47,1),(49,1),(57,1)}
      54:{1,3,5}:{(48,1),(49,1),(51,1),(57,1),(58,1)}
      55:{1,2,4}:{(50,1),(58,1)}
      56:{2,3,4}:{(51,1),(58,1)}
      57:{2,3,5}:{(52,1),(53,1),(54,1),(59,1)}
      58:{1,3,4}:{(54,1),(55,1),(56,1),(59,1)}
      59:{2,3,4}:{(57,1),(58,1)}

708 :  0:{1,2,3,4,6}:{(1,1),(5,1)}
       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),(9,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       6:{1,2,4,5,6}:{(5,1),(9,1),(17,1)}
       7:{2,3,4,5}:{(4,1),(10,1),(11,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(9,1),(11,1)}
       9:{1,3,5,6}:{(6,1),(8,1),(13,1)}
      10:{1,3,4,5}:{(7,1),(15,1),(16,1)}
      11:{2,3,4,6}:{(7,1),(8,1),(13,1),(16,1)}
      12:{1,3,4,5,6}:{(9,1),(17,1)}
      13:{2,3,5,6}:{(9,1),(11,1),(17,1),(18,1)}
      14:{1,2,3,4}:{(19,1)}
      15:{1,2,4,5}:{(10,1),(19,1),(20,1)}
      16:{1,3,4,6}:{(10,1),(11,1),(18,1),(20,1)}
      17:{2,4,5,6}:{(12,1),(13,1),(21,1)}
      18:{1,3,5,6}:{(13,1),(16,1),(21,1),(22,1)}
      19:{1,2,3,5}:{(14,1),(15,1),(23,1)}
      20:{1,2,4,6}:{(15,1),(16,1),(22,1),(23,1)}
      21:{1,4,5,6}:{(17,1),(18,1)}
      22:{1,2,5,6}:{(18,1),(20,1)}
      23:{1,2,3,6}:{(19,1),(20,1)}

709 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
       3:{1,2,3,6}:{(1,1),(6,1)}
       4:{2,3,4,5}:{(5,1),(7,1)}
       5:{1,3,4,5}:{(2,1),(4,1),(8,1),(9,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(9,1),(10,1)}
       7:{2,3,4,6}:{(4,1),(9,1),(11,1)}
       8:{2,3,4,5}:{(5,1),(12,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(12,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(13,1)}
      11:{2,3,5,6}:{(7,1),(13,1),(14,1)}
      12:{2,3,4,6}:{(8,1),(9,1),(15,1)}
      13:{1,3,5,6}:{(9,1),(10,1),(11,1),(15,1),(16,1)}
      14:{2,4,5,6}:{(11,1),(16,1),(17,1)}
      15:{2,3,5,6}:{(12,1),(13,1),(18,1)}
      16:{1,4,5,6}:{(13,1),(14,1),(18,1)}
      17:{3,4,5,6}:{(14,1)}
      18:{2,4,5,6}:{(15,1),(16,1),(19,1)}
      19:{3,4,5,6}:{(18,1)}

710 :  0:{2,3,4,5,6}:{(1,1),(12,1),(22,1)}
       1:{1,3,4,5,6}:{(0,1),(3,1),(8,1),(27,1)}
       2:{2,3,4,5,6}:{(4,1),(14,1),(20,1)}
       3:{2,4,5,6}:{(1,1),(6,1),(32,1)}
       4:{1,3,4,5,6}:{(2,1),(7,1),(15,1),(19,1)}
       5:{1,2,4,5,6}:{(3,1),(8,1),(18,1),(29,1)}
       6:{2,3,5,6}:{(3,1),(8,1),(9,1),(34,1)}
       7:{2,4,5,6}:{(4,1),(11,1),(25,1)}
       8:{1,3,5,6}:{(5,1),(6,1),(12,1),(13,1),(33,1)}
       9:{2,3,4,6}:{(6,1),(13,1),(14,1)}
      10:{1,2,4,5,6}:{(7,1),(15,1),(26,1),(29,1)}
      11:{2,3,5,6}:{(7,1),(15,1),(16,1),(30,1)}
      12:{2,3,5,6}:{(8,1),(18,1),(30,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(18,1),(19,1)}
      14:{2,3,4,5}:{(9,1),(19,1),(34,1)}
      15:{1,3,5,6}:{(10,1),(11,1),(20,1),(21,1),(33,1)}
      16:{2,3,4,6}:{(11,1),(21,1),(22,1)}
      17:{1,2,3,5,6}:{(12,1),(20,1),(23,1),(33,1)}
      18:{2,4,6}:{(12,1),(13,1),(25,1)}
      19:{1,3,4,5}:{(13,1),(14,1),(25,1),(33,1)}
      20:{2,3,5,6}:{(15,1),(26,1),(34,1)}
      21:{1,3,4,6}:{(15,1),(16,1),(26,1),(27,1)}
      22:{2,3,4,5}:{(16,1),(27,1),(30,1)}
      23:{1,2,4,6}:{(17,1),(18,1),(26,1),(28,1),(29,1)}
      24:{2,3,4,6}:{(18,1),(28,1),(30,1)}
      25:{2,4,5}:{(18,1),(19,1),(30,1)}
      26:{2,4,6}:{(20,1),(21,1),(32,1)}
      27:{1,3,4,5}:{(21,1),(22,1),(32,1),(33,1)}
      28:{1,3,4,6}:{(23,1),(24,1),(31,1),(33,1)}
      29:{1,2,4,5}:{(23,1),(25,1),(32,1),(33,1)}
      30:{2,3,5}:{(24,1),(25,1),(33,1)}
      31:{2,3,4,6}:{(26,1),(28,1),(34,1)}
      32:{2,4,5}:{(26,1),(27,1),(34,1)}
      33:{1,3,5}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,3,5}:{(31,1),(32,1),(33,1)}

711 :  0:{2,3,4,5}:{(3,1),(4,1),(41,1),(57,1)}
       1:{3,4,5,6}:{(5,1),(63,1)}
       2:{1,2,3,5}:{(7,1),(8,1),(30,1),(31,1)}
       3:{1,3,4,5}:{(0,1),(11,1),(12,1),(31,1),(36,1),(53,1)}
       4:{2,3,4,6}:{(0,1),(9,1),(12,1),(52,1),(62,1)}
       5:{2,4,5,6}:{(1,1),(9,1),(13,1),(62,1)}
       6:{2,3,4,5}:{(14,1),(15,1),(21,1),(46,1)}
       7:{1,2,3,6}:{(2,1),(16,1),(45,1)}
       8:{1,2,4}:{(2,1),(17,1)}
       9:{2,3,5,6}:{(4,1),(5,1),(20,1)}
      10:{2,3,4}:{(17,1),(21,1)}
      11:{2,4,5}:{(3,1),(21,1),(22,1)}
      12:{1,3,4,6}:{(3,1),(4,1),(20,1),(22,1),(45,1),(48,1),(59,1)}
      13:{1,4,5,6}:{(5,1),(20,1),(23,1),(59,1)}
      14:{1,3,4,5}:{(6,1),(27,1),(28,1),(31,1),(53,1),(60,1)}
      15:{2,3,4,6}:{(6,1),(25,1),(28,1),(35,1),(55,1)}
      16:{1,2,4,6}:{(7,1),(8,1),(29,1),(30,1)}
      17:{1,3,4}:{(8,1),(10,1),(26,1),(31,1)}
      18:{1,2,4,5}:{(8,1),(11,1),(27,1),(30,1),(31,1),(32,1),(53,1)}
      19:{2,3,4,6}:{(10,1),(29,1),(33,1),(35,1),(55,1)}
      20:{1,3,5,6}:{(9,1),(12,1),(13,1),(34,1),(37,1)}
      21:{2,3,5}:{(10,1),(11,1),(31,1),(35,1)}
      22:{2,4,6}:{(11,1),(12,1),(34,1),(35,1)}
      23:{2,4,5,6}:{(13,1),(34,1),(37,1),(55,1)}
      24:{3,4,5,6}:{(38,1),(48,1)}
      25:{2,3,5,6}:{(15,1),(38,1),(40,1)}
      26:{2,3,4}:{(17,1),(41,1)}
      27:{2,4,5}:{(14,1),(41,1),(42,1)}
      28:{1,3,4,6}:{(14,1),(15,1),(40,1),(42,1),(45,1),(59,1),(63,1)}
      29:{1,3,4,6}:{(16,1),(17,1),(19,1),(39,1),(43,1),(45,1),(59,1)}
      30:{1,2,5}:{(16,1),(43,1)}
      31:{1,3,5}:{(17,1),(18,1),(21,1),(41,1),(45,1)}
      32:{1,2,4,6}:{(18,1),(22,1),(42,1),(44,1),(45,1),(59,1)}
      33:{2,3,5}:{(19,1),(43,1),(46,1)}
      34:{2,5,6}:{(20,1),(22,1)}
      35:{2,3,6}:{(21,1),(22,1),(45,1)}
      36:{3,4,5}:{(46,1),(48,1)}
      37:{3,5,6}:{(23,1),(48,1)}
      38:{2,4,5,6}:{(24,1),(25,1),(49,1),(55,1)}
      39:{2,3,4,6}:{(26,1),(29,1),(50,1),(52,1),(62,1)}
      40:{1,3,5,6}:{(25,1),(28,1),(49,1),(51,1),(61,1)}
      41:{2,3,5}:{(26,1),(27,1),(31,1),(52,1)}
      42:{2,4,6}:{(27,1),(28,1),(51,1),(52,1)}
      43:{1,3,5}:{(29,1),(30,1),(33,1),(50,1),(53,1)}
      44:{1,2,5,6}:{(30,1),(32,1),(34,1),(51,1),(54,1)}
      45:{1,3,6}:{(31,1),(32,1),(35,1),(52,1)}
      46:{2,4,5}:{(33,1),(36,1),(53,1),(55,1)}
      47:{2,3,5,6}:{(33,1),(34,1),(35,1),(37,1),(54,1),(55,1)}
      48:{3,4,6}:{(36,1),(37,1),(55,1)}
      49:{1,4,5,6}:{(38,1),(40,1),(56,1),(59,1)}
      50:{2,3,5}:{(39,1),(43,1),(57,1)}
      51:{2,5,6}:{(40,1),(42,1)}
      52:{2,3,6}:{(41,1),(42,1),(45,1)}
      53:{1,4,5}:{(43,1),(46,1),(57,1),(59,1)}
      54:{1,3,5,6}:{(43,1),(44,1),(45,1),(47,1),(58,1),(59,1)}
      55:{2,4,6}:{(46,1),(47,1),(48,1),(59,1)}
      56:{2,4,5,6}:{(49,1),(51,1),(61,1),(62,1)}
      57:{2,4,5}:{(50,1),(53,1),(60,1),(62,1)}
      58:{2,3,5,6}:{(50,1),(51,1),(52,1),(54,1),(61,1),(62,1)}
      59:{1,4,6}:{(53,1),(54,1),(55,1),(62,1)}
      60:{3,4,5}:{(57,1),(63,1)}
      61:{3,5,6}:{(56,1),(63,1)}
      62:{2,4,6}:{(57,1),(58,1),(59,1),(63,1)}
      63:{3,4,6}:{(60,1),(61,1),(62,1)}

712 :  0:{1,2,3,4,6}:{(1,1),(4,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(4,1),(10,1)}
       3:{1,2,4,5}:{(1,1),(4,1),(5,1)}
       4:{1,2,4,6}:{(2,1),(3,1),(7,1)}
       5:{1,3,4,5}:{(3,1),(7,1),(8,1)}
       6:{1,2,4,5,6}:{(4,1),(10,1),(13,1)}
       7:{1,3,4,6}:{(4,1),(5,1),(10,1),(11,1)}
       8:{2,3,4,5}:{(5,1),(11,1),(12,1)}
       9:{1,3,4,5,6}:{(10,1),(13,1)}
      10:{1,3,5,6}:{(6,1),(7,1),(14,1)}
      11:{2,3,4,6}:{(7,1),(8,1),(14,1),(15,1)}
      12:{1,3,4,5}:{(8,1),(15,1),(16,1)}
      13:{2,4,5,6}:{(9,1),(14,1),(17,1)}
      14:{2,3,5,6}:{(10,1),(11,1),(13,1),(18,1)}
      15:{1,3,4,6}:{(11,1),(12,1),(18,1),(19,1)}
      16:{1,2,4,5}:{(12,1),(19,1),(20,1)}
      17:{1,4,5,6}:{(13,1),(18,1)}
      18:{1,3,5,6}:{(14,1),(15,1),(17,1),(21,1)}
      19:{1,2,4,6}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,2,3,5}:{(16,1),(22,1),(23,1)}
      21:{1,2,5,6}:{(18,1),(19,1)}
      22:{1,2,3,6}:{(19,1),(20,1)}
      23:{1,2,3,4}:{(20,1)}

713 :  0:{2,3,4,5,6}:{(1,1),(8,1),(10,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(14,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(19,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(13,1),(16,1),(22,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(23,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(8,1),(9,1),(20,1),(24,1)}
       6:{2,3,4,6}:{(4,1),(9,1),(10,1)}
       7:{1,2,3,5,6}:{(8,1),(11,1),(20,1)}
       8:{2,3,5,6}:{(5,1),(13,1),(23,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(14,1),(23,1)}
      11:{1,2,4,6}:{(7,1),(13,1),(15,1),(16,1)}
      12:{1,2,3,5,6}:{(8,1),(17,1),(24,1)}
      13:{2,4,6}:{(8,1),(9,1),(19,1)}
      14:{1,3,4,5}:{(9,1),(10,1),(19,1),(20,1),(24,1)}
      15:{1,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{1,2,4,5}:{(11,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(21,1),(22,1)}
      18:{2,3,4,6}:{(13,1),(15,1),(21,1),(23,1)}
      19:{2,4,5}:{(13,1),(14,1),(23,1)}
      20:{1,3,5}:{(15,1),(16,1),(23,1)}
      21:{1,3,4,6}:{(17,1),(18,1),(24,1)}
      22:{1,2,4,5}:{(17,1),(19,1),(24,1)}
      23:{2,3,5}:{(18,1),(19,1),(20,1),(24,1)}
      24:{1,3,5}:{(21,1),(22,1),(23,1)}

714 :  0:{1,2,3,4,6}:{(1,1),(5,1)}
       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),(9,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       6:{1,2,4,5,6}:{(5,1),(9,1),(17,1)}
       7:{2,3,4,5}:{(4,1),(10,1),(11,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(9,1),(11,1)}
       9:{1,3,5,6}:{(6,1),(8,1),(13,1)}
      10:{1,3,4,5}:{(7,1),(15,1),(16,1)}
      11:{2,3,4,6}:{(7,1),(8,1),(13,1),(16,1)}
      12:{1,3,4,5,6}:{(9,1),(17,1)}
      13:{2,3,5,6}:{(9,1),(11,1),(17,1),(18,1)}
      14:{1,2,3,4}:{(19,1)}
      15:{1,2,4,5}:{(10,1),(19,1),(20,1)}
      16:{1,3,4,6}:{(10,1),(11,1),(18,1),(20,1)}
      17:{2,4,5,6}:{(12,1),(13,1),(21,1)}
      18:{1,3,5,6}:{(13,1),(16,1),(21,1),(22,1)}
      19:{1,2,3,5}:{(14,1),(15,1),(23,1)}
      20:{1,2,4,6}:{(15,1),(16,1),(22,1),(23,1)}
      21:{1,4,5,6}:{(17,1),(18,1)}
      22:{1,2,5,6}:{(18,1),(20,1)}
      23:{1,2,3,6}:{(19,1),(20,1)}

715 :  0:{2,3,4,5,6}:{(1,1),(8,1),(10,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(14,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(19,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(13,1),(16,1),(22,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(23,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(8,1),(9,1),(20,1),(24,1)}
       6:{2,3,4,6}:{(4,1),(9,1),(10,1)}
       7:{1,2,3,5,6}:{(8,1),(11,1),(20,1)}
       8:{2,3,5,6}:{(5,1),(13,1),(23,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(14,1),(23,1)}
      11:{1,2,4,6}:{(7,1),(13,1),(15,1),(16,1)}
      12:{1,2,3,5,6}:{(8,1),(17,1),(24,1)}
      13:{2,4,6}:{(8,1),(9,1),(19,1)}
      14:{1,3,4,5}:{(9,1),(10,1),(19,1),(20,1),(24,1)}
      15:{1,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{1,2,4,5}:{(11,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(21,1),(22,1)}
      18:{2,3,4,6}:{(13,1),(15,1),(21,1),(23,1)}
      19:{2,4,5}:{(13,1),(14,1),(23,1)}
      20:{1,3,5}:{(15,1),(16,1),(23,1)}
      21:{1,3,4,6}:{(17,1),(18,1),(24,1)}
      22:{1,2,4,5}:{(17,1),(19,1),(24,1)}
      23:{2,3,5}:{(18,1),(19,1),(20,1),(24,1)}
      24:{1,3,5}:{(21,1),(22,1),(23,1)}

716 :  0:{1,2,3,4,6}:{(1,1),(7,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,4}:{(5,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
       4:{1,2,3,5,6}:{(1,1),(7,1),(16,1)}
       5:{1,2,3,5}:{(2,1),(8,1),(9,1)}
       6:{1,3,4,5}:{(3,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(11,1)}
       8:{1,2,4,5}:{(5,1),(13,1),(14,1)}
       9:{1,2,3,6}:{(5,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(13,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(7,1),(15,1),(16,1)}
      12:{1,2,4,5,6}:{(7,1),(16,1),(22,1)}
      13:{1,3,4,5}:{(8,1),(10,1),(17,1)}
      14:{1,2,4,6}:{(8,1),(9,1),(17,1),(18,1)}
      15:{2,3,4,6}:{(10,1),(11,1),(17,1),(19,1)}
      16:{1,3,5,6}:{(11,1),(12,1),(19,1)}
      17:{1,3,4,6}:{(13,1),(14,1),(15,1),(21,1)}
      18:{1,2,5,6}:{(14,1),(21,1)}
      19:{2,3,5,6}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,3,4,5,6}:{(16,1),(22,1)}
      21:{1,3,5,6}:{(17,1),(18,1),(19,1),(23,1)}
      22:{2,4,5,6}:{(19,1),(20,1),(23,1)}
      23:{1,4,5,6}:{(21,1),(22,1)}

717 :  0:{1,2,3,4,6}:{(1,1),(5,1)}
       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),(13,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       6:{1,2,3,4}:{(10,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1)}
       9:{1,2,4,5,6}:{(5,1),(13,1),(19,1)}
      10:{1,2,3,5}:{(6,1),(15,1),(16,1)}
      11:{1,3,4,5}:{(7,1),(15,1),(17,1)}
      12:{2,3,4,6}:{(7,1),(8,1),(17,1),(18,1)}
      13:{1,3,5,6}:{(8,1),(9,1),(18,1)}
      14:{1,3,4,5,6}:{(13,1),(19,1)}
      15:{1,2,4,5}:{(10,1),(11,1),(20,1)}
      16:{1,2,3,6}:{(10,1),(20,1)}
      17:{1,3,4,6}:{(11,1),(12,1),(20,1),(21,1)}
      18:{2,3,5,6}:{(12,1),(13,1),(19,1),(21,1)}
      19:{2,4,5,6}:{(14,1),(18,1),(22,1)}
      20:{1,2,4,6}:{(15,1),(16,1),(17,1),(23,1)}
      21:{1,3,5,6}:{(17,1),(18,1),(22,1),(23,1)}
      22:{1,4,5,6}:{(19,1),(21,1)}
      23:{1,2,5,6}:{(20,1),(21,1)}

718 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
       3:{1,2,3,6}:{(1,1),(6,1)}
       4:{2,3,4,5}:{(5,1),(7,1)}
       5:{1,3,4,5}:{(2,1),(4,1),(8,1),(9,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(9,1),(10,1)}
       7:{2,3,4,6}:{(4,1),(9,1),(11,1)}
       8:{2,3,4,5}:{(5,1),(12,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(12,1),(13,1)}
      10:{1,2,5,6}:{(6,1),(13,1)}
      11:{2,3,5,6}:{(7,1),(13,1),(14,1)}
      12:{2,3,4,6}:{(8,1),(9,1),(15,1)}
      13:{1,3,5,6}:{(9,1),(10,1),(11,1),(15,1),(16,1)}
      14:{2,4,5,6}:{(11,1),(16,1),(17,1)}
      15:{2,3,5,6}:{(12,1),(13,1),(18,1)}
      16:{1,4,5,6}:{(13,1),(14,1),(18,1)}
      17:{3,4,5,6}:{(14,1)}
      18:{2,4,5,6}:{(15,1),(16,1),(19,1)}
      19:{3,4,5,6}:{(18,1)}

719 :  0:{2,3,4,5,6}:{(1,1),(12,1),(22,1)}
       1:{1,3,4,5,6}:{(0,1),(3,1),(8,1),(27,1)}
       2:{2,3,4,5,6}:{(4,1),(14,1),(20,1)}
       3:{2,4,5,6}:{(1,1),(6,1),(32,1)}
       4:{1,3,4,5,6}:{(2,1),(7,1),(15,1),(19,1)}
       5:{1,2,4,5,6}:{(3,1),(8,1),(18,1),(29,1)}
       6:{2,3,5,6}:{(3,1),(8,1),(9,1),(34,1)}
       7:{2,4,5,6}:{(4,1),(11,1),(25,1)}
       8:{1,3,5,6}:{(5,1),(6,1),(12,1),(13,1),(33,1)}
       9:{2,3,4,6}:{(6,1),(13,1),(14,1)}
      10:{1,2,4,5,6}:{(7,1),(15,1),(26,1),(29,1)}
      11:{2,3,5,6}:{(7,1),(15,1),(16,1),(30,1)}
      12:{2,3,5,6}:{(8,1),(18,1),(30,1)}
      13:{1,3,4,6}:{(8,1),(9,1),(18,1),(19,1)}
      14:{2,3,4,5}:{(9,1),(19,1),(34,1)}
      15:{1,3,5,6}:{(10,1),(11,1),(20,1),(21,1),(33,1)}
      16:{2,3,4,6}:{(11,1),(21,1),(22,1)}
      17:{1,2,3,5,6}:{(12,1),(20,1),(23,1),(33,1)}
      18:{2,4,6}:{(12,1),(13,1),(25,1)}
      19:{1,3,4,5}:{(13,1),(14,1),(25,1),(33,1)}
      20:{2,3,5,6}:{(15,1),(26,1),(34,1)}
      21:{1,3,4,6}:{(15,1),(16,1),(26,1),(27,1)}
      22:{2,3,4,5}:{(16,1),(27,1),(30,1)}
      23:{1,2,4,6}:{(17,1),(18,1),(26,1),(28,1),(29,1)}
      24:{2,3,4,6}:{(18,1),(28,1),(30,1)}
      25:{2,4,5}:{(18,1),(19,1),(30,1)}
      26:{2,4,6}:{(20,1),(21,1),(32,1)}
      27:{1,3,4,5}:{(21,1),(22,1),(32,1),(33,1)}
      28:{1,3,4,6}:{(23,1),(24,1),(31,1),(33,1)}
      29:{1,2,4,5}:{(23,1),(25,1),(32,1),(33,1)}
      30:{2,3,5}:{(24,1),(25,1),(33,1)}
      31:{2,3,4,6}:{(26,1),(28,1),(34,1)}
      32:{2,4,5}:{(26,1),(27,1),(34,1)}
      33:{1,3,5}:{(28,1),(29,1),(30,1),(34,1)}
      34:{2,3,5}:{(31,1),(32,1),(33,1)}

720 :  0:{1,2,3,4,6}:{(1,1),(6,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,5,6}:{(1,1),(6,1),(8,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
       4:{1,2,4,5,6}:{(6,1),(8,1),(9,1)}
       5:{1,3,4,5,6}:{(8,1),(9,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(10,1)}
       7:{1,3,4,5}:{(3,1),(10,1),(11,1)}
       8:{1,3,5,6}:{(4,1),(10,1),(12,1)}
       9:{2,4,5,6}:{(5,1),(12,1),(13,1)}
      10:{1,3,4,6}:{(6,1),(7,1),(8,1),(14,1)}
      11:{2,3,4,5}:{(7,1),(14,1),(15,1)}
      12:{2,3,5,6}:{(8,1),(9,1),(14,1),(16,1)}
      13:{1,4,5,6}:{(9,1),(16,1)}
      14:{2,3,4,6}:{(10,1),(11,1),(12,1),(17,1)}
      15:{1,3,4,5}:{(11,1),(17,1),(18,1)}
      16:{1,3,5,6}:{(12,1),(13,1),(17,1),(19,1)}
      17:{1,3,4,6}:{(14,1),(15,1),(16,1),(20,1)}
      18:{1,2,4,5}:{(15,1),(20,1),(21,1)}
      19:{1,2,5,6}:{(16,1),(20,1)}
      20:{1,2,4,6}:{(17,1),(18,1),(19,1),(22,1)}
      21:{1,2,3,5}:{(18,1),(22,1),(23,1)}
      22:{1,2,3,6}:{(20,1),(21,1)}
      23:{1,2,3,4}:{(21,1)}

721 :  0:{1,2,3,4,6}:{(1,1),(5,1)}
       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)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       6:{1,2,4,5,6}:{(5,1),(10,1),(13,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(10,1),(12,1)}
       9:{1,3,4,5,6}:{(10,1),(13,1)}
      10:{1,3,5,6}:{(6,1),(8,1),(14,1)}
      11:{1,3,4,5}:{(7,1),(16,1),(17,1)}
      12:{2,3,4,6}:{(7,1),(8,1),(14,1),(17,1)}
      13:{2,4,5,6}:{(9,1),(14,1),(18,1)}
      14:{2,3,5,6}:{(10,1),(12,1),(13,1),(19,1)}
      15:{1,2,3,4}:{(20,1)}
      16:{1,2,4,5}:{(11,1),(20,1),(21,1)}
      17:{1,3,4,6}:{(11,1),(12,1),(19,1),(21,1)}
      18:{1,4,5,6}:{(13,1),(19,1)}
      19:{1,3,5,6}:{(14,1),(17,1),(18,1),(22,1)}
      20:{1,2,3,5}:{(15,1),(16,1),(23,1)}
      21:{1,2,4,6}:{(16,1),(17,1),(22,1),(23,1)}
      22:{1,2,5,6}:{(19,1),(21,1)}
      23:{1,2,3,6}:{(20,1),(21,1)}

722 :  0:{1,2,3,4,6}:{(1,1),(5,1)}
       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),(13,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       6:{1,2,3,4}:{(10,1)}
       7:{2,3,4,5}:{(4,1),(11,1),(12,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(12,1),(13,1)}
       9:{1,2,4,5,6}:{(5,1),(13,1),(19,1)}
      10:{1,2,3,5}:{(6,1),(15,1),(16,1)}
      11:{1,3,4,5}:{(7,1),(15,1),(17,1)}
      12:{2,3,4,6}:{(7,1),(8,1),(17,1),(18,1)}
      13:{1,3,5,6}:{(8,1),(9,1),(18,1)}
      14:{1,3,4,5,6}:{(13,1),(19,1)}
      15:{1,2,4,5}:{(10,1),(11,1),(20,1)}
      16:{1,2,3,6}:{(10,1),(20,1)}
      17:{1,3,4,6}:{(11,1),(12,1),(20,1),(21,1)}
      18:{2,3,5,6}:{(12,1),(13,1),(19,1),(21,1)}
      19:{2,4,5,6}:{(14,1),(18,1),(22,1)}
      20:{1,2,4,6}:{(15,1),(16,1),(17,1),(23,1)}
      21:{1,3,5,6}:{(17,1),(18,1),(22,1),(23,1)}
      22:{1,4,5,6}:{(19,1),(21,1)}
      23:{1,2,5,6}:{(20,1),(21,1)}

723 :  0:{2,3,4,5,6}:{(1,1),(8,1),(10,1)}
       1:{1,3,4,5,6}:{(0,1),(2,1),(5,1),(14,1)}
       2:{2,4,5,6}:{(1,1),(4,1),(19,1)}
       3:{1,2,4,5,6}:{(2,1),(5,1),(13,1),(16,1),(22,1)}
       4:{2,3,5,6}:{(2,1),(5,1),(6,1),(23,1)}
       5:{1,3,5,6}:{(3,1),(4,1),(8,1),(9,1),(20,1),(24,1)}
       6:{2,3,4,6}:{(4,1),(9,1),(10,1)}
       7:{1,2,3,5,6}:{(8,1),(11,1),(20,1)}
       8:{2,3,5,6}:{(5,1),(13,1),(23,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(13,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(14,1),(23,1)}
      11:{1,2,4,6}:{(7,1),(13,1),(15,1),(16,1)}
      12:{1,2,3,5,6}:{(8,1),(17,1),(24,1)}
      13:{2,4,6}:{(8,1),(9,1),(19,1)}
      14:{1,3,4,5}:{(9,1),(10,1),(19,1),(20,1),(24,1)}
      15:{1,3,4,6}:{(11,1),(18,1),(20,1)}
      16:{1,2,4,5}:{(11,1),(19,1),(20,1)}
      17:{1,2,4,6}:{(12,1),(13,1),(21,1),(22,1)}
      18:{2,3,4,6}:{(13,1),(15,1),(21,1),(23,1)}
      19:{2,4,5}:{(13,1),(14,1),(23,1)}
      20:{1,3,5}:{(15,1),(16,1),(23,1)}
      21:{1,3,4,6}:{(17,1),(18,1),(24,1)}
      22:{1,2,4,5}:{(17,1),(19,1),(24,1)}
      23:{2,3,5}:{(18,1),(19,1),(20,1),(24,1)}
      24:{1,3,5}:{(21,1),(22,1),(23,1)}

724 :  0:{1,2,3,4,6}:{(1,1),(7,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,4}:{(5,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
       4:{1,2,3,5,6}:{(1,1),(7,1),(16,1)}
       5:{1,2,3,5}:{(2,1),(8,1),(9,1)}
       6:{1,3,4,5}:{(3,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(11,1)}
       8:{1,2,4,5}:{(5,1),(13,1),(14,1)}
       9:{1,2,3,6}:{(5,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(13,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(7,1),(15,1),(16,1)}
      12:{1,2,4,5,6}:{(7,1),(16,1),(22,1)}
      13:{1,3,4,5}:{(8,1),(10,1),(17,1)}
      14:{1,2,4,6}:{(8,1),(9,1),(17,1),(18,1)}
      15:{2,3,4,6}:{(10,1),(11,1),(17,1),(19,1)}
      16:{1,3,5,6}:{(11,1),(12,1),(19,1)}
      17:{1,3,4,6}:{(13,1),(14,1),(15,1),(21,1)}
      18:{1,2,5,6}:{(14,1),(21,1)}
      19:{2,3,5,6}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,3,4,5,6}:{(16,1),(22,1)}
      21:{1,3,5,6}:{(17,1),(18,1),(19,1),(23,1)}
      22:{2,4,5,6}:{(19,1),(20,1),(23,1)}
      23:{1,4,5,6}:{(21,1),(22,1)}

725 :  0:{1,2,3,4}:{(1,1)}
       1:{1,2,3,5}:{(0,1),(2,1),(3,1)}
       2:{1,2,4,5}:{(1,1),(5,1),(6,1)}
       3:{1,2,3,6}:{(1,1),(6,1)}
       4:{2,3,4,5}:{(5,1),(7,1)}
       5:{1,3,4,5}:{(2,1),(4,1),(8,1),(9,1)}
       6:{1,2,4,6}:{(2,1),(3,1),(9,1),(10,1)}
       7:{2,3,4,6}:{(4,1),(9,1),(11,1)}
       8:{2,3,4,5}:{(5,1),(13,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(7,1),(13,1),(14,1)}
      10:{1,2,5,6}:{(6,1),(14,1)}
      11:{2,3,5,6}:{(7,1),(14,1),(15,1)}
      12:{3,4,5,6}:{(15,1)}
      13:{2,3,4,6}:{(8,1),(9,1),(16,1)}
      14:{1,3,5,6}:{(9,1),(10,1),(11,1),(16,1),(17,1)}
      15:{2,4,5,6}:{(11,1),(12,1),(17,1)}
      16:{2,3,5,6}:{(13,1),(14,1),(18,1)}
      17:{1,4,5,6}:{(14,1),(15,1),(18,1)}
      18:{2,4,5,6}:{(16,1),(17,1),(19,1)}
      19:{3,4,5,6}:{(18,1)}

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

727 :  0:{1,2,3,4,6}:{(4,1),(5,1)}
       1:{1,2,3,5,6}:{(4,1),(5,1),(6,1)}
       2:{1,2,4,5,6}:{(5,1),(6,1),(7,1)}
       3:{1,3,4,5,6}:{(6,1),(7,1)}
       4:{1,2,3,5}:{(0,1),(8,1)}
       5:{1,2,4,6}:{(1,1),(8,1),(9,1)}
       6:{1,3,5,6}:{(2,1),(9,1),(10,1)}
       7:{2,4,5,6}:{(3,1),(10,1),(11,1)}
       8:{1,2,4,5}:{(4,1),(5,1),(12,1)}
       9:{1,3,4,6}:{(5,1),(6,1),(12,1),(13,1)}
      10:{2,3,5,6}:{(6,1),(7,1),(13,1),(14,1)}
      11:{1,4,5,6}:{(7,1),(14,1)}
      12:{1,3,4,5}:{(8,1),(9,1),(15,1)}
      13:{2,3,4,6}:{(9,1),(10,1),(15,1),(16,1)}
      14:{1,3,5,6}:{(10,1),(11,1),(16,1),(17,1)}
      15:{2,3,4,5}:{(12,1),(13,1),(18,1)}
      16:{1,3,4,6}:{(13,1),(14,1),(18,1),(19,1)}
      17:{1,2,5,6}:{(14,1),(19,1)}
      18:{1,3,4,5}:{(15,1),(16,1),(20,1)}
      19:{1,2,4,6}:{(16,1),(17,1),(20,1),(21,1)}
      20:{1,2,4,5}:{(18,1),(19,1),(22,1)}
      21:{1,2,3,6}:{(19,1),(22,1)}
      22:{1,2,3,5}:{(20,1),(21,1),(23,1)}
      23:{1,2,3,4}:{(22,1)}

728 :  0:{2,3,4,5,6}:{(1,1),(10,1)}
       1:{1,3,4,5,6}:{(0,1),(5,1),(6,1),(13,1)}
       2:{1,2,4,5,6}:{(5,1),(6,1),(7,1)}
       3:{1,2,3,5,6}:{(6,1),(7,1),(8,1)}
       4:{1,2,3,4,6}:{(7,1),(8,1)}
       5:{2,4,5,6}:{(1,1),(10,1)}
       6:{1,3,5,6}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(3,1),(11,1),(12,1)}
       8:{1,2,3,5}:{(4,1),(12,1)}
       9:{1,2,4,5,6}:{(5,1),(13,1),(19,1)}
      10:{2,3,5,6}:{(5,1),(6,1),(13,1),(14,1)}
      11:{1,3,4,6}:{(6,1),(7,1),(14,1),(15,1)}
      12:{1,2,4,5}:{(7,1),(8,1),(15,1)}
      13:{1,3,5,6}:{(9,1),(10,1),(17,1)}
      14:{2,3,4,6}:{(10,1),(11,1),(17,1),(18,1)}
      15:{1,3,4,5}:{(11,1),(12,1),(18,1)}
      16:{1,2,3,5,6}:{(13,1),(19,1),(23,1)}
      17:{1,3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      18:{2,3,4,5}:{(14,1),(15,1),(20,1)}
      19:{1,2,4,6}:{(16,1),(17,1),(22,1)}
      20:{1,3,4,5}:{(17,1),(18,1),(22,1)}
      21:{1,2,3,4,6}:{(19,1),(23,1)}
      22:{1,2,4,5}:{(19,1),(20,1),(23,1)}
      23:{1,2,3,5}:{(21,1),(22,1)}

729 :  0:{1,2,3,4,6}:{(1,1),(7,1)}
       1:{1,2,3,5}:{(0,1),(2,1)}
       2:{1,2,4,5}:{(1,1),(6,1),(7,1)}
       3:{1,2,3,5,6}:{(1,1),(7,1),(8,1)}
       4:{1,2,4,5,6}:{(7,1),(8,1),(9,1)}
       5:{1,3,4,5,6}:{(8,1),(9,1)}
       6:{1,3,4,5}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(2,1),(3,1),(11,1)}
       8:{1,3,5,6}:{(4,1),(11,1),(12,1)}
       9:{2,4,5,6}:{(5,1),(12,1),(13,1)}
      10:{2,3,4,5}:{(6,1),(14,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(7,1),(8,1),(15,1)}
      12:{2,3,5,6}:{(8,1),(9,1),(15,1),(16,1)}
      13:{1,4,5,6}:{(9,1),(16,1)}
      14:{1,3,4,5}:{(10,1),(18,1),(19,1)}
      15:{2,3,4,6}:{(10,1),(11,1),(12,1),(19,1)}
      16:{1,3,5,6}:{(12,1),(13,1),(19,1),(20,1)}
      17:{1,2,3,4}:{(21,1)}
      18:{1,2,4,5}:{(14,1),(21,1),(22,1)}
      19:{1,3,4,6}:{(14,1),(15,1),(16,1),(22,1)}
      20:{1,2,5,6}:{(16,1),(22,1)}
      21:{1,2,3,5}:{(17,1),(18,1),(23,1)}
      22:{1,2,4,6}:{(18,1),(19,1),(20,1),(23,1)}
      23:{1,2,3,6}:{(21,1),(22,1)}

730 :  0:{1,2,3,4,6}:{(1,1),(5,1)}
       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),(14,1)}
       4:{1,3,4,5}:{(2,1),(7,1),(8,1)}
       5:{1,2,4,6}:{(2,1),(3,1),(8,1)}
       6:{1,2,3,4}:{(11,1)}
       7:{2,3,4,5}:{(4,1),(12,1),(13,1)}
       8:{1,3,4,6}:{(4,1),(5,1),(13,1),(14,1)}
       9:{1,2,4,5,6}:{(5,1),(14,1),(15,1)}
      10:{1,3,4,5,6}:{(14,1),(15,1)}
      11:{1,2,3,5}:{(6,1),(16,1),(17,1)}
      12:{1,3,4,5}:{(7,1),(16,1),(18,1)}
      13:{2,3,4,6}:{(7,1),(8,1),(18,1),(19,1)}
      14:{1,3,5,6}:{(8,1),(9,1),(19,1)}
      15:{2,4,5,6}:{(10,1),(19,1),(20,1)}
      16:{1,2,4,5}:{(11,1),(12,1),(21,1)}
      17:{1,2,3,6}:{(11,1),(21,1)}
      18:{1,3,4,6}:{(12,1),(13,1),(21,1),(22,1)}
      19:{2,3,5,6}:{(13,1),(14,1),(15,1),(22,1)}
      20:{1,4,5,6}:{(15,1),(22,1)}
      21:{1,2,4,6}:{(16,1),(17,1),(18,1),(23,1)}
      22:{1,3,5,6}:{(18,1),(19,1),(20,1),(23,1)}
      23:{1,2,5,6}:{(21,1),(22,1)}

731 :  0:{1,2,3,4,6}:{(1,1),(7,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,4}:{(5,1)}
       3:{1,2,4,5}:{(1,1),(6,1),(7,1)}
       4:{1,2,3,5,6}:{(1,1),(7,1),(16,1)}
       5:{1,2,3,5}:{(2,1),(8,1),(9,1)}
       6:{1,3,4,5}:{(3,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(3,1),(4,1),(11,1)}
       8:{1,2,4,5}:{(5,1),(13,1),(14,1)}
       9:{1,2,3,6}:{(5,1),(14,1)}
      10:{2,3,4,5}:{(6,1),(13,1),(15,1)}
      11:{1,3,4,6}:{(6,1),(7,1),(15,1),(16,1)}
      12:{1,2,4,5,6}:{(7,1),(16,1),(22,1)}
      13:{1,3,4,5}:{(8,1),(10,1),(17,1)}
      14:{1,2,4,6}:{(8,1),(9,1),(17,1),(18,1)}
      15:{2,3,4,6}:{(10,1),(11,1),(17,1),(19,1)}
      16:{1,3,5,6}:{(11,1),(12,1),(19,1)}
      17:{1,3,4,6}:{(13,1),(14,1),(15,1),(21,1)}
      18:{1,2,5,6}:{(14,1),(21,1)}
      19:{2,3,5,6}:{(15,1),(16,1),(21,1),(22,1)}
      20:{1,3,4,5,6}:{(16,1),(22,1)}
      21:{1,3,5,6}:{(17,1),(18,1),(19,1),(23,1)}
      22:{2,4,5,6}:{(19,1),(20,1),(23,1)}
      23:{1,4,5,6}:{(21,1),(22,1)}

732 :  0:{1,2,3,4,6}:{(1,1),(8,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{2,3,4,5,6}:{(6,1),(18,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,2,3,5,6}:{(1,1),(8,1),(16,1)}
       5:{2,3,4,5}:{(7,1),(9,1)}
       6:{1,3,4,5,6}:{(2,1),(10,1),(16,1)}
       7:{1,3,4,5}:{(3,1),(5,1),(11,1),(12,1)}
       8:{1,2,4,6}:{(3,1),(4,1),(12,1)}
       9:{2,3,4,6}:{(5,1),(12,1),(14,1)}
      10:{2,4,5,6}:{(6,1),(14,1)}
      11:{2,3,4,5}:{(7,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(8,1),(9,1),(15,1),(16,1)}
      13:{1,2,4,5,6}:{(8,1),(10,1),(16,1),(20,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(16,1)}
      15:{2,3,4,6}:{(11,1),(12,1),(18,1)}
      16:{1,3,5,6}:{(12,1),(13,1),(14,1),(18,1)}
      17:{2,3,4,5,6}:{(14,1),(19,1)}
      18:{2,3,5,6}:{(15,1),(16,1),(20,1)}
      19:{1,3,4,5,6}:{(16,1),(17,1),(20,1)}
      20:{2,4,5,6}:{(18,1),(19,1)}

733 :  0:{1,2,3,4,5}:{(1,1)}
       1:{1,2,3,4,6}:{(0,1),(2,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1)}
       3:{1,2,4,5,6}:{(2,1),(4,1)}
       4:{1,3,4,5,6}:{(3,1),(5,1)}
       5:{2,3,4,5,6}:{(4,1),(6,1)}
       6:{1,3,4,5,6}:{(5,1),(7,1)}
       7:{1,2,4,5,6}:{(6,1),(9,1)}
       8:{1,2,3,4,5}:{(10,1)}
       9:{1,2,3,5,6}:{(7,1),(10,1)}
      10:{1,2,3,4,6}:{(8,1),(9,1)}

734 :  0:{2,3,4,5,6}:{(1,1),(10,1)}
       1:{1,3,4,5,6}:{(0,1),(5,1),(6,1),(13,1)}
       2:{1,2,4,5,6}:{(5,1),(6,1),(7,1)}
       3:{1,2,3,5,6}:{(6,1),(7,1),(8,1)}
       4:{1,2,3,4,6}:{(7,1),(8,1)}
       5:{2,4,5,6}:{(1,1),(10,1)}
       6:{1,3,5,6}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(3,1),(11,1),(12,1)}
       8:{1,2,3,5}:{(4,1),(12,1)}
       9:{1,2,4,5,6}:{(5,1),(13,1),(19,1)}
      10:{2,3,5,6}:{(5,1),(6,1),(13,1),(14,1)}
      11:{1,3,4,6}:{(6,1),(7,1),(14,1),(15,1)}
      12:{1,2,4,5}:{(7,1),(8,1),(15,1)}
      13:{1,3,5,6}:{(9,1),(10,1),(17,1)}
      14:{2,3,4,6}:{(10,1),(11,1),(17,1),(18,1)}
      15:{1,3,4,5}:{(11,1),(12,1),(18,1)}
      16:{1,2,3,5,6}:{(13,1),(19,1),(23,1)}
      17:{1,3,4,6}:{(13,1),(14,1),(19,1),(20,1)}
      18:{2,3,4,5}:{(14,1),(15,1),(20,1)}
      19:{1,2,4,6}:{(16,1),(17,1),(22,1)}
      20:{1,3,4,5}:{(17,1),(18,1),(22,1)}
      21:{1,2,3,4,6}:{(19,1),(23,1)}
      22:{1,2,4,5}:{(19,1),(20,1),(23,1)}
      23:{1,2,3,5}:{(21,1),(22,1)}

735 :  0:{1,2,3,4,6}:{(2,1),(10,1)}
       1:{2,3,4,5,6}:{(3,1),(14,1)}
       2:{1,2,3,5}:{(0,1),(5,1)}
       3:{1,3,4,5,6}:{(1,1),(7,1),(9,1),(18,1)}
       4:{1,2,4,5,6}:{(7,1),(9,1),(10,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1)}
       6:{1,2,3,5,6}:{(2,1),(9,1),(10,1)}
       7:{2,4,5,6}:{(3,1),(14,1)}
       8:{1,3,4,5}:{(5,1),(13,1),(15,1)}
       9:{1,3,5,6}:{(4,1),(14,1),(15,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1)}
      11:{1,2,3,4,6}:{(16,1),(23,1)}
      12:{1,2,4,5,6}:{(7,1),(18,1),(23,1)}
      13:{2,3,4,5}:{(8,1),(17,1),(19,1)}
      14:{2,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
      15:{1,3,4,6}:{(8,1),(9,1),(10,1),(19,1)}
      16:{1,2,3,5}:{(11,1),(20,1)}
      17:{1,3,4,5}:{(13,1),(20,1),(22,1)}
      18:{1,3,5,6}:{(12,1),(14,1),(22,1)}
      19:{2,3,4,6}:{(13,1),(14,1),(15,1),(22,1)}
      20:{1,2,4,5}:{(16,1),(17,1),(23,1)}
      21:{1,2,3,5,6}:{(16,1),(18,1),(23,1)}
      22:{1,3,4,6}:{(17,1),(18,1),(19,1),(23,1)}
      23:{1,2,4,6}:{(20,1),(21,1),(22,1)}

736 :  0:{1,2,3,4,6}:{(1,1),(8,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,4,6}:{(5,1),(16,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,2,3,5,6}:{(1,1),(8,1),(19,1)}
       5:{1,2,3,5}:{(2,1),(9,1)}
       6:{2,3,4,5,6}:{(12,1),(22,1)}
       7:{1,3,4,5}:{(3,1),(11,1),(13,1)}
       8:{1,2,4,6}:{(3,1),(4,1),(13,1)}
       9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
      10:{1,2,3,5,6}:{(5,1),(16,1),(23,1)}
      11:{2,3,4,5}:{(7,1),(15,1),(17,1)}
      12:{1,3,4,5,6}:{(6,1),(18,1),(19,1),(23,1)}
      13:{1,3,4,6}:{(7,1),(8,1),(17,1),(19,1)}
      14:{1,2,4,5,6}:{(8,1),(18,1),(19,1)}
      15:{1,3,4,5}:{(9,1),(11,1),(20,1)}
      16:{1,2,4,6}:{(9,1),(10,1),(20,1)}
      17:{2,3,4,6}:{(11,1),(13,1),(20,1),(22,1)}
      18:{2,4,5,6}:{(12,1),(22,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(22,1)}
      20:{1,3,4,6}:{(15,1),(16,1),(17,1),(23,1)}
      21:{1,2,4,5,6}:{(16,1),(18,1),(23,1)}
      22:{2,3,5,6}:{(17,1),(18,1),(19,1),(23,1)}
      23:{1,3,5,6}:{(20,1),(21,1),(22,1)}

737 :  0:{1,2,3,4,6}:{(1,1),(8,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{2,3,4,5,6}:{(6,1),(18,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,2,3,5,6}:{(1,1),(8,1),(16,1)}
       5:{2,3,4,5}:{(7,1),(9,1)}
       6:{1,3,4,5,6}:{(2,1),(10,1),(16,1)}
       7:{1,3,4,5}:{(3,1),(5,1),(11,1),(12,1)}
       8:{1,2,4,6}:{(3,1),(4,1),(12,1)}
       9:{2,3,4,6}:{(5,1),(12,1),(14,1)}
      10:{2,4,5,6}:{(6,1),(14,1)}
      11:{2,3,4,5}:{(7,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(8,1),(9,1),(15,1),(16,1)}
      13:{1,2,4,5,6}:{(8,1),(10,1),(16,1),(20,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(16,1)}
      15:{2,3,4,6}:{(11,1),(12,1),(18,1)}
      16:{1,3,5,6}:{(12,1),(13,1),(14,1),(18,1)}
      17:{2,3,4,5,6}:{(14,1),(19,1)}
      18:{2,3,5,6}:{(15,1),(16,1),(20,1)}
      19:{1,3,4,5,6}:{(16,1),(17,1),(20,1)}
      20:{2,4,5,6}:{(18,1),(19,1)}

738 :  0:{1,2,3,4,5}:{(1,1)}
       1:{1,2,3,4,6}:{(0,1),(2,1)}
       2:{1,2,3,5,6}:{(1,1),(3,1)}
       3:{1,2,4,5,6}:{(2,1),(4,1)}
       4:{1,3,4,5,6}:{(3,1),(5,1)}
       5:{2,3,4,5,6}:{(4,1),(7,1)}
       6:{1,2,3,4,5}:{(8,1)}
       7:{1,3,4,5,6}:{(5,1),(9,1)}
       8:{1,2,3,4,6}:{(6,1),(10,1)}
       9:{1,2,4,5,6}:{(7,1),(10,1)}
      10:{1,2,3,5,6}:{(8,1),(9,1)}

739 :  0:{2,3,4,5,6}:{(1,1),(10,1)}
       1:{1,3,4,5,6}:{(0,1),(5,1),(6,1),(13,1)}
       2:{1,2,4,5,6}:{(5,1),(6,1),(7,1)}
       3:{1,2,3,5,6}:{(6,1),(7,1),(8,1)}
       4:{1,2,3,4,6}:{(7,1),(8,1)}
       5:{2,4,5,6}:{(1,1),(10,1)}
       6:{1,3,5,6}:{(2,1),(10,1),(11,1)}
       7:{1,2,4,6}:{(3,1),(11,1),(12,1)}
       8:{1,2,3,5}:{(4,1),(12,1)}
       9:{1,2,4,5,6}:{(5,1),(13,1),(20,1)}
      10:{2,3,5,6}:{(5,1),(6,1),(13,1),(14,1)}
      11:{1,3,4,6}:{(6,1),(7,1),(14,1),(15,1)}
      12:{1,2,4,5}:{(7,1),(8,1),(15,1)}
      13:{1,3,5,6}:{(9,1),(10,1),(18,1)}
      14:{2,3,4,6}:{(10,1),(11,1),(18,1),(19,1)}
      15:{1,3,4,5}:{(11,1),(12,1),(19,1)}
      16:{1,2,3,5,6}:{(13,1),(20,1),(21,1)}
      17:{1,2,3,4,6}:{(20,1),(21,1)}
      18:{1,3,4,6}:{(13,1),(14,1),(20,1),(22,1)}
      19:{2,3,4,5}:{(14,1),(15,1),(22,1)}
      20:{1,2,4,6}:{(16,1),(18,1),(23,1)}
      21:{1,2,3,5}:{(17,1),(23,1)}
      22:{1,3,4,5}:{(18,1),(19,1),(23,1)}
      23:{1,2,4,5}:{(20,1),(21,1),(22,1)}

740 :  0:{1,2,3,4,6}:{(2,1),(10,1)}
       1:{2,3,4,5,6}:{(3,1),(14,1)}
       2:{1,2,3,5}:{(0,1),(5,1)}
       3:{1,3,4,5,6}:{(1,1),(7,1),(9,1),(18,1)}
       4:{1,2,4,5,6}:{(7,1),(9,1),(10,1)}
       5:{1,2,4,5}:{(2,1),(8,1),(10,1)}
       6:{1,2,3,5,6}:{(2,1),(9,1),(10,1)}
       7:{2,4,5,6}:{(3,1),(14,1)}
       8:{1,3,4,5}:{(5,1),(13,1),(15,1)}
       9:{1,3,5,6}:{(4,1),(14,1),(15,1)}
      10:{1,2,4,6}:{(5,1),(6,1),(15,1)}
      11:{1,2,3,4,6}:{(16,1),(23,1)}
      12:{1,2,4,5,6}:{(7,1),(18,1),(23,1)}
      13:{2,3,4,5}:{(8,1),(17,1),(19,1)}
      14:{2,3,5,6}:{(7,1),(9,1),(18,1),(19,1)}
      15:{1,3,4,6}:{(8,1),(9,1),(10,1),(19,1)}
      16:{1,2,3,5}:{(11,1),(20,1)}
      17:{1,3,4,5}:{(13,1),(20,1),(22,1)}
      18:{1,3,5,6}:{(12,1),(14,1),(22,1)}
      19:{2,3,4,6}:{(13,1),(14,1),(15,1),(22,1)}
      20:{1,2,4,5}:{(16,1),(17,1),(23,1)}
      21:{1,2,3,5,6}:{(16,1),(18,1),(23,1)}
      22:{1,3,4,6}:{(17,1),(18,1),(19,1),(23,1)}
      23:{1,2,4,6}:{(20,1),(21,1),(22,1)}

741 :  0:{1,2,3,4,6}:{(1,1),(8,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{1,2,3,4,6}:{(5,1),(16,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,2,3,5,6}:{(1,1),(8,1),(19,1)}
       5:{1,2,3,5}:{(2,1),(9,1)}
       6:{2,3,4,5,6}:{(12,1),(22,1)}
       7:{1,3,4,5}:{(3,1),(11,1),(13,1)}
       8:{1,2,4,6}:{(3,1),(4,1),(13,1)}
       9:{1,2,4,5}:{(5,1),(15,1),(16,1)}
      10:{1,2,3,5,6}:{(5,1),(16,1),(23,1)}
      11:{2,3,4,5}:{(7,1),(15,1),(17,1)}
      12:{1,3,4,5,6}:{(6,1),(18,1),(19,1),(23,1)}
      13:{1,3,4,6}:{(7,1),(8,1),(17,1),(19,1)}
      14:{1,2,4,5,6}:{(8,1),(18,1),(19,1)}
      15:{1,3,4,5}:{(9,1),(11,1),(20,1)}
      16:{1,2,4,6}:{(9,1),(10,1),(20,1)}
      17:{2,3,4,6}:{(11,1),(13,1),(20,1),(22,1)}
      18:{2,4,5,6}:{(12,1),(22,1)}
      19:{1,3,5,6}:{(13,1),(14,1),(22,1)}
      20:{1,3,4,6}:{(15,1),(16,1),(17,1),(23,1)}
      21:{1,2,4,5,6}:{(16,1),(18,1),(23,1)}
      22:{2,3,5,6}:{(17,1),(18,1),(19,1),(23,1)}
      23:{1,3,5,6}:{(20,1),(21,1),(22,1)}

742 :  0:{1,2,3,4,6}:{(1,1),(8,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{2,3,4,5,6}:{(6,1),(18,1)}
       3:{1,2,4,5}:{(1,1),(7,1),(8,1)}
       4:{1,2,3,5,6}:{(1,1),(8,1),(16,1)}
       5:{2,3,4,5}:{(7,1),(9,1)}
       6:{1,3,4,5,6}:{(2,1),(10,1),(16,1)}
       7:{1,3,4,5}:{(3,1),(5,1),(11,1),(12,1)}
       8:{1,2,4,6}:{(3,1),(4,1),(12,1)}
       9:{2,3,4,6}:{(5,1),(12,1),(14,1)}
      10:{2,4,5,6}:{(6,1),(14,1)}
      11:{2,3,4,5}:{(7,1),(15,1)}
      12:{1,3,4,6}:{(7,1),(8,1),(9,1),(15,1),(16,1)}
      13:{1,2,4,5,6}:{(8,1),(10,1),(16,1),(20,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(16,1)}
      15:{2,3,4,6}:{(11,1),(12,1),(18,1)}
      16:{1,3,5,6}:{(12,1),(13,1),(14,1),(18,1)}
      17:{2,3,4,5,6}:{(14,1),(19,1)}
      18:{2,3,5,6}:{(15,1),(16,1),(20,1)}
      19:{1,3,4,5,6}:{(16,1),(17,1),(20,1)}
      20:{2,4,5,6}:{(18,1),(19,1)}

743 :  0:{2,3,4,5,6}:{(1,1),(14,1)}
       1:{1,3,4,5,6}:{(0,1),(3,1),(10,1)}
       2:{2,3,4,5,6}:{(4,1),(8,1)}
       3:{2,4,5,6}:{(1,1),(8,1)}
       4:{1,3,4,5,6}:{(2,1),(9,1),(10,1)}
       5:{1,2,4,5,6}:{(3,1),(9,1),(10,1),(11,1)}
       6:{1,2,3,5,6}:{(10,1),(11,1),(12,1)}
       7:{1,2,3,4,6}:{(11,1),(12,1)}
       8:{2,3,5,6}:{(3,1),(10,1),(13,1)}
       9:{2,4,5,6}:{(4,1),(14,1)}
      10:{1,3,5,6}:{(5,1),(8,1),(14,1),(15,1)}
      11:{1,2,4,6}:{(6,1),(15,1),(16,1)}
      12:{1,2,3,5}:{(7,1),(16,1)}
      13:{2,3,4,6}:{(8,1),(15,1),(17,1)}
      14:{2,3,5,6}:{(9,1),(10,1),(18,1)}
      15:{1,3,4,6}:{(10,1),(11,1),(13,1),(18,1),(19,1)}
      16:{1,2,4,5}:{(11,1),(12,1),(19,1)}
      17:{2,3,4,5}:{(13,1),(19,1)}
      18:{2,3,4,6}:{(14,1),(15,1),(20,1)}
      19:{1,3,4,5}:{(15,1),(16,1),(17,1),(20,1)}
      20:{2,3,4,5}:{(18,1),(19,1)}

744 :  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),(5,1)}
       4:{1,2,3,4,5}:{(6,1)}
       5:{1,3,4,5,6}:{(3,1),(7,1)}
       6:{1,2,3,4,6}:{(4,1),(8,1)}
       7:{2,3,4,5,6}:{(5,1),(9,1)}
       8:{1,2,3,5,6}:{(6,1),(10,1)}
       9:{1,3,4,5,6}:{(7,1),(10,1)}
      10:{1,2,4,5,6}:{(8,1),(9,1)}

745 :  0:{2,3,4,5,6}:{(1,1),(12,1)}
       1:{1,3,4,5,6}:{(0,1),(5,1),(6,1),(15,1)}
       2:{1,2,4,5,6}:{(5,1),(6,1),(7,1)}
       3:{1,2,3,5,6}:{(6,1),(7,1),(8,1)}
       4:{1,2,3,4,6}:{(7,1),(8,1)}
       5:{2,4,5,6}:{(1,1),(12,1)}
       6:{1,3,5,6}:{(2,1),(12,1),(13,1)}
       7:{1,2,4,6}:{(3,1),(13,1),(14,1)}
       8:{1,2,3,5}:{(4,1),(14,1)}
       9:{1,2,4,5,6}:{(5,1),(15,1),(16,1)}
      10:{1,2,3,5,6}:{(15,1),(16,1),(17,1)}
      11:{1,2,3,4,6}:{(16,1),(17,1)}
      12:{2,3,5,6}:{(5,1),(6,1),(15,1),(18,1)}
      13:{1,3,4,6}:{(6,1),(7,1),(18,1),(19,1)}
      14:{1,2,4,5}:{(7,1),(8,1),(19,1)}
      15:{1,3,5,6}:{(9,1),(12,1),(20,1)}
      16:{1,2,4,6}:{(10,1),(20,1),(21,1)}
      17:{1,2,3,5}:{(11,1),(21,1)}
      18:{2,3,4,6}:{(12,1),(13,1),(20,1),(22,1)}
      19:{1,3,4,5}:{(13,1),(14,1),(22,1)}
      20:{1,3,4,6}:{(15,1),(16,1),(18,1),(23,1)}
      21:{1,2,4,5}:{(16,1),(17,1),(23,1)}
      22:{2,3,4,5}:{(18,1),(19,1),(23,1)}
      23:{1,3,4,5}:{(20,1),(21,1),(22,1)}

746 :  0:{1,2,3,4,6}:{(2,1),(12,1)}
       1:{2,3,4,5,6}:{(4,1),(17,1)}
       2:{1,2,3,5}:{(0,1),(6,1)}
       3:{1,2,3,4,6}:{(8,1),(21,1)}
       4:{1,3,4,5,6}:{(1,1),(9,1),(11,1),(20,1)}
       5:{1,2,4,5,6}:{(9,1),(11,1),(12,1)}
       6:{1,2,4,5}:{(2,1),(10,1),(12,1)}
       7:{1,2,3,5,6}:{(2,1),(11,1),(12,1)}
       8:{1,2,3,5}:{(3,1),(14,1)}
       9:{2,4,5,6}:{(4,1),(17,1)}
      10:{1,3,4,5}:{(6,1),(16,1),(18,1)}
      11:{1,3,5,6}:{(5,1),(17,1),(18,1)}
      12:{1,2,4,6}:{(6,1),(7,1),(18,1)}
      13:{1,2,4,5,6}:{(9,1),(20,1),(21,1)}
      14:{1,2,4,5}:{(8,1),(19,1),(21,1)}
      15:{1,2,3,5,6}:{(8,1),(20,1),(21,1)}
      16:{2,3,4,5}:{(10,1),(19,1),(22,1)}
      17:{2,3,5,6}:{(9,1),(11,1),(20,1),(22,1)}
      18:{1,3,4,6}:{(10,1),(11,1),(12,1),(22,1)}
      19:{1,3,4,5}:{(14,1),(16,1),(23,1)}
      20:{1,3,5,6}:{(13,1),(17,1),(23,1)}
      21:{1,2,4,6}:{(14,1),(15,1),(23,1)}
      22:{2,3,4,6}:{(16,1),(17,1),(18,1),(23,1)}
      23:{1,3,4,6}:{(19,1),(20,1),(21,1),(22,1)}

747 :  0:{1,2,3,4,6}:{(1,1),(9,1)}
       1:{1,2,3,5}:{(0,1),(3,1)}
       2:{2,3,4,5,6}:{(6,1),(20,1)}
       3:{1,2,4,5}:{(1,1),(8,1),(9,1)}
       4:{1,2,3,5,6}:{(1,1),(9,1),(19,1)}
       5:{2,3,4,5}:{(8,1),(10,1)}
       6:{1,3,4,5,6}:{(2,1),(11,1),(19,1)}
       7:{2,3,4,5,6}:{(13,1),(16,1)}
       8:{1,3,4,5}:{(3,1),(5,1),(12,1),(14,1)}
       9:{1,2,4,6}:{(3,1),(4,1),(14,1)}
      10:{2,3,4,6}:{(5,1),(14,1),(16,1)}
      11:{2,4,5,6}:{(6,1),(16,1)}
      12:{2,3,4,5}:{(8,1),(17,1)}
      13:{1,3,4,5,6}:{(7,1),(18,1),(19,1)}
      14:{1,3,4,6}:{(8,1),(9,1),(10,1),(17,1),(19,1)}
      15:{1,2,4,5,6}:{(9,1),(11,1),(18,1),(19,1)}
      16:{2,3,5,6}:{(10,1),(11,1),(19,1)}
      17:{2,3,4,6}:{(12,1),(14,1),(20,1)}
      18:{2,4,5,6}:{(13,1),(20,1)}
      19:{1,3,5,6}:{(14,1),(15,1),(16,1),(20,1)}
      20:{2,3,5,6}:{(17,1),(18,1),(19,1)}

748 :  0:{2,3,4,5,6}:{(2,1),(18,1)}
       1:{1,2,3,4,6}:{(4,1),(15,1)}
       2:{1,3,4,5,6}:{(0,1),(5,1),(14,1)}
       3:{2,3,4,5,6}:{(6,1),(11,1)}
       4:{1,2,3,5}:{(1,1),(8,1)}
       5:{2,4,5,6}:{(2,1),(11,1)}
       6:{1,3,4,5,6}:{(3,1),(12,1),(14,1)}
       7:{1,2,4,5,6}:{(5,1),(12,1),(14,1),(15,1)}
       8:{1,2,4,5}:{(4,1),(13,1),(15,1)}
       9:{1,2,3,5,6}:{(4,1),(14,1),(15,1)}
      10:{2,3,4,5}:{(13,1),(16,1)}
      11:{2,3,5,6}:{(5,1),(14,1),(16,1)}
      12:{2,4,5,6}:{(6,1),(18,1)}
      13:{1,3,4,5}:{(8,1),(10,1),(17,1),(19,1)}
      14:{1,3,5,6}:{(7,1),(11,1),(18,1),(19,1)}
      15:{1,2,4,6}:{(8,1),(9,1),(19,1)}
      16:{2,3,4,6}:{(10,1),(11,1),(19,1)}
      17:{2,3,4,5}:{(13,1),(20,1)}
      18:{2,3,5,6}:{(12,1),(14,1),(20,1)}
      19:{1,3,4,6}:{(13,1),(14,1),(15,1),(16,1),(20,1)}
      20:{2,3,4,6}:{(17,1),(18,1),(19,1)}

749 :  0:{1,2,3,4,5}:{(1,1)}
       1:{1,2,3,4,6}:{(0,1),(3,1)}
       2:{1,2,3,4,5}:{(4,1)}
       3:{1,2,3,5,6}:{(1,1),(5,1)}
       4:{1,2,3,4,6}:{(2,1),(6,1)}
       5:{1,2,4,5,6}:{(3,1),(7,1)}
       6:{1,2,3,5,6}:{(4,1),(8,1)}
       7:{1,3,4,5,6}:{(5,1),(9,1)}
       8:{1,2,4,5,6}:{(6,1),(10,1)}
       9:{2,3,4,5,6}:{(7,1),(10,1)}
      10:{1,3,4,5,6}:{(8,1),(9,1)}

750 : 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),(5,1)}
      4:{2,3,4,5,6}:{(5,1)}
      5:{1,3,4,5,6}:{(3,1),(4,1),(6,1)}
      6:{2,3,4,5,6}:{(5,1)}

751 : 0:{1,2,3,4,5,6}:{}