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