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