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