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