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