0:{}:{}
1:{2}:{(0,1),(2,1),(3,1)}
2:{3}:{(1,1),(4,1)}
3:{1}:{(1,1)}
4:{4}:{(2,1),(6,1)}
5:{1,3}:{(2,1),(3,1),(7,1),(8,1),(15,1)}
6:{5}:{(4,1),(9,1)}
7:{1,4}:{(4,1),(5,1),(10,1),(11,1)}
8:{2}:{(5,1)}
9:{6}:{(6,1),(12,1)}
10:{1,5}:{(6,1),(7,1),(13,1),(14,1)}
11:{2,4}:{(7,1),(8,1),(14,1),(15,1),(23,1)}
12:{7}:{(9,1),(18,1)}
13:{1,6}:{(9,1),(10,1),(16,1),(17,1)}
14:{2,5}:{(10,1),(11,1),(17,1),(19,1)}
15:{3}:{(11,1)}
16:{1,7}:{(12,1),(13,1),(20,1),(22,1)}
17:{2,6}:{(13,1),(14,1),(20,1),(21,1)}
18:{8}:{(12,1),(24,1)}
19:{3,5}:{(14,1),(15,1),(21,1),(23,1),(31,1)}
20:{2,7}:{(16,1),(17,1),(25,1),(27,1)}
21:{3,6}:{(17,1),(19,1),(25,1),(26,1)}
22:{1,8}:{(16,1),(18,1),(27,1),(28,1)}
23:{4}:{(19,1)}
24:{7}:{(18,1),(29,1)}
25:{3,7}:{(20,1),(21,1),(30,1),(32,1)}
26:{4,6}:{(21,1),(23,1),(30,1),(31,1),(42,1)}
27:{2,8}:{(20,1),(22,1),(32,1),(33,1)}
28:{1,7}:{(22,1),(24,1),(33,1),(34,1)}
29:{6}:{(24,1),(35,1)}
30:{4,7}:{(25,1),(26,1),(36,1),(37,1)}
31:{5}:{(26,1)}
32:{3,8}:{(25,1),(27,1),(37,1),(38,1)}
33:{2,7}:{(27,1),(28,1),(38,1),(39,1)}
34:{1,6}:{(28,1),(29,1),(39,1),(40,1)}
35:{5}:{(29,1),(41,1)}
36:{5,7}:{(30,1),(31,1),(42,1),(43,1),(58,1)}
37:{4,8}:{(30,1),(32,1),(43,1),(44,1)}
38:{3,7}:{(32,1),(33,1),(44,1),(45,1)}
39:{2,6}:{(33,1),(34,1),(45,1),(46,1)}
40:{1,5}:{(34,1),(35,1),(46,1),(47,1)}
41:{4}:{(35,1),(48,1)}
42:{6}:{(36,1)}
43:{5,8}:{(36,1),(37,1),(49,1),(50,1)}
44:{4,7}:{(37,1),(38,1),(50,1),(51,1)}
45:{3,6}:{(38,1),(39,1),(51,1),(52,1)}
46:{2,5}:{(39,1),(40,1),(52,1),(53,1)}
47:{1,4}:{(40,1),(41,1),(53,1),(54,1)}
48:{3}:{(41,1),(55,1)}
49:{6,8}:{(42,1),(43,1),(56,1),(58,1)}
50:{5,7}:{(43,1),(44,1),(56,1),(57,1)}
51:{4,6}:{(44,1),(45,1),(57,1),(59,1)}
52:{3,5}:{(45,1),(46,1),(59,1),(60,1)}
53:{2,4}:{(46,1),(47,1),(60,1),(61,1)}
54:{1,3}:{(47,1),(48,1),(61,1),(62,1)}
55:{2}:{(48,1),(63,1)}
56:{6,7}:{(49,1),(50,1)}
57:{5,6}:{(50,1),(51,1)}
58:{7}:{(49,1)}
59:{4,5}:{(51,1),(52,1)}
60:{3,4}:{(52,1),(53,1)}
61:{2,3}:{(53,1),(54,1)}
62:{1,2}:{(54,1),(55,1)}
63:{1}:{(55,1)}