0:{}:{}
1:{1}:{(0,1),(4,1)}
2:{1}:{(0,1),(5,1)}
3:{2}:{(0,1),(6,1),(7,1)}
4:{2}:{(1,1),(8,1)}
5:{2}:{(2,1),(9,1)}
6:{3}:{(3,1),(12,1)}
7:{1}:{(3,1)}
8:{3}:{(4,1),(14,1)}
9:{3}:{(5,1),(15,1)}
10:{1,2}:{(4,1),(7,1),(16,1),(19,1)}
11:{1,2}:{(5,1),(7,1),(17,1),(19,1)}
12:{4}:{(6,1),(20,1)}
13:{1,3}:{(6,1),(7,1),(18,1),(19,1),(39,1)}
14:{4}:{(8,1),(23,1),(25,1)}
15:{4}:{(9,1),(24,1),(26,1)}
16:{1,3}:{(8,1),(10,1),(21,1),(27,1)}
17:{1,3}:{(9,1),(11,1),(22,1),(28,1)}
18:{1,4}:{(12,1),(13,1),(29,1),(30,1)}
19:{2}:{(13,1)}
20:{5,6}:{(12,1),(23,1),(24,1),(25,1),(26,1)}
21:{1,4}:{(14,1),(16,1),(31,1),(33,1),(35,1)}
22:{1,4}:{(15,1),(17,1),(32,1),(34,1),(36,1)}
23:{6}:{(14,1)}
24:{6}:{(15,1)}
25:{5}:{(14,1)}
26:{5}:{(15,1)}
27:{2,3}:{(16,1),(19,1),(31,1),(39,1)}
28:{2,3}:{(17,1),(19,1),(32,1),(39,1)}
29:{2,4}:{(18,1),(19,1),(39,1),(40,1),(62,1)}
30:{1,5,6}:{(18,1),(20,1),(33,1),(34,1),(35,1),(36,1),(40,1)}
31:{2,4}:{(21,1),(27,1),(41,1),(43,1),(45,1)}
32:{2,4}:{(22,1),(28,1),(42,1),(44,1),(46,1)}
33:{1,6}:{(21,1),(23,1),(43,1)}
34:{1,6}:{(22,1),(24,1),(44,1)}
35:{1,5}:{(21,1),(25,1),(45,1)}
36:{1,5}:{(22,1),(26,1),(46,1)}
37:{5,6}:{(23,1),(25,1),(49,1)}
38:{5,6}:{(24,1),(26,1),(50,1)}
39:{3}:{(29,1)}
40:{2,5,6}:{(29,1),(30,1),(43,1),(44,1),(45,1),(46,1),(51,1)}
41:{3,4}:{(31,1),(39,1),(52,1),(54,1),(62,1)}
42:{3,4}:{(32,1),(39,1),(53,1),(55,1),(62,1)}
43:{2,6}:{(31,1),(33,1),(52,1)}
44:{2,6}:{(32,1),(34,1),(53,1)}
45:{2,5}:{(31,1),(35,1),(54,1)}
46:{2,5}:{(32,1),(36,1),(55,1)}
47:{1,5,6}:{(33,1),(35,1),(37,1),(56,1),(58,1)}
48:{1,5,6}:{(34,1),(36,1),(38,1),(57,1),(59,1)}
49:{4}:{(37,1),(60,1)}
50:{4}:{(38,1),(61,1)}
51:{3,5,6}:{(39,1),(40,1),(52,1),(53,1),(54,1),(55,1),(62,1),(77,1),(78,1)}
52:{3,6}:{(41,1),(43,1),(63,1)}
53:{3,6}:{(42,1),(44,1),(64,1)}
54:{3,5}:{(41,1),(45,1),(65,1)}
55:{3,5}:{(42,1),(46,1),(66,1)}
56:{2,5,6}:{(43,1),(45,1),(47,1),(67,1),(69,1)}
57:{2,5,6}:{(44,1),(46,1),(48,1),(68,1),(70,1)}
58:{1,4}:{(47,1),(49,1),(69,1),(71,1)}
59:{1,4}:{(48,1),(50,1),(70,1),(72,1)}
60:{3}:{(49,1),(73,1)}
61:{3}:{(50,1),(74,1)}
62:{4}:{(51,1)}
63:{4,6}:{(52,1),(62,1),(77,1)}
64:{4,6}:{(53,1),(62,1),(78,1)}
65:{4,5}:{(54,1),(62,1),(78,1)}
66:{4,5}:{(55,1),(62,1),(77,1)}
67:{3,5,6}:{(52,1),(54,1),(56,1),(75,1),(76,1)}
68:{3,5,6}:{(53,1),(55,1),(57,1),(80,1),(82,1)}
69:{2,4}:{(56,1),(58,1),(76,1),(79,1)}
70:{2,4}:{(57,1),(59,1),(82,1),(84,1)}
71:{1,3}:{(58,1),(60,1),(79,1),(81,1)}
72:{1,3}:{(59,1),(61,1),(84,1),(85,1)}
73:{2}:{(60,1),(83,1)}
74:{2}:{(61,1),(86,1)}
75:{4,5,6}:{(63,1),(65,1),(67,1)}
76:{3,4}:{(67,1),(69,1)}
77:{5,6}:{(63,1),(66,1)}
78:{5,6}:{(64,1),(65,1)}
79:{2,3}:{(69,1),(71,1)}
80:{4,5,6}:{(64,1),(66,1),(68,1)}
81:{1,2}:{(71,1),(73,1)}
82:{3,4}:{(68,1),(70,1)}
83:{1}:{(73,1)}
84:{2,3}:{(70,1),(72,1)}
85:{1,2}:{(72,1),(74,1)}
86:{1}:{(74,1)}