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