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