0:{}:{}
1:{}:{}
2:{1}:{(0,1),(1,1),(5,1)}
3:{2}:{(0,1),(6,1),(8,1)}
4:{2}:{(1,1),(7,1),(9,1)}
5:{2}:{(2,1),(10,1)}
6:{3}:{(3,1),(12,1)}
7:{3}:{(4,1),(13,1)}
8:{1}:{(3,1)}
9:{1}:{(4,1)}
10:{3}:{(5,1),(16,1)}
11:{1,2}:{(5,1),(8,1),(9,1),(17,1),(22,1),(23,1)}
12:{4}:{(6,1),(18,1)}
13:{4}:{(7,1),(19,1)}
14:{1,3}:{(6,1),(8,1),(20,1),(22,1),(40,1)}
15:{1,3}:{(7,1),(9,1),(21,1),(23,1),(41,1)}
16:{4}:{(10,1),(24,1)}
17:{1,3}:{(10,1),(11,1),(25,1),(26,1)}
18:{5}:{(12,1),(27,1)}
19:{5}:{(13,1),(28,1)}
20:{1,4}:{(12,1),(14,1),(29,1),(31,1)}
21:{1,4}:{(13,1),(15,1),(30,1),(32,1)}
22:{2}:{(14,1)}
23:{2}:{(15,1)}
24:{5}:{(16,1),(33,1)}
25:{1,4}:{(16,1),(17,1),(34,1),(35,1)}
26:{2,3}:{(17,1),(22,1),(23,1),(35,1),(40,1),(41,1)}
27:{6}:{(18,1),(42,1)}
28:{6}:{(19,1),(43,1)}
29:{1,5}:{(18,1),(20,1),(36,1),(38,1)}
30:{1,5}:{(19,1),(21,1),(37,1),(39,1)}
31:{2,4}:{(20,1),(22,1),(38,1),(40,1),(62,1)}
32:{2,4}:{(21,1),(23,1),(39,1),(41,1),(63,1)}
33:{6}:{(24,1),(45,1),(46,1)}
34:{1,5}:{(24,1),(25,1),(44,1),(47,1)}
35:{2,4}:{(25,1),(26,1),(47,1),(48,1)}
36:{1,6}:{(27,1),(29,1),(49,1),(53,1)}
37:{1,6}:{(28,1),(30,1),(50,1),(54,1)}
38:{2,5}:{(29,1),(31,1),(49,1),(51,1)}
39:{2,5}:{(30,1),(32,1),(50,1),(52,1)}
40:{3}:{(31,1)}
41:{3}:{(32,1)}
42:{7,8}:{(27,1),(45,1),(46,1)}
43:{7,8}:{(28,1),(45,1),(46,1)}
44:{1,6}:{(33,1),(34,1),(55,1),(56,1),(57,1)}
45:{8}:{(33,1)}
46:{7}:{(33,1)}
47:{2,5}:{(34,1),(35,1),(55,1),(58,1)}
48:{3,4}:{(35,1),(40,1),(41,1),(58,1),(62,1),(63,1)}
49:{2,6}:{(36,1),(38,1),(60,1),(64,1)}
50:{2,6}:{(37,1),(39,1),(61,1),(65,1)}
51:{3,5}:{(38,1),(40,1),(60,1),(62,1),(82,1)}
52:{3,5}:{(39,1),(41,1),(61,1),(63,1),(83,1)}
53:{1,7,8}:{(36,1),(42,1),(56,1),(57,1),(64,1)}
54:{1,7,8}:{(37,1),(43,1),(56,1),(57,1),(65,1)}
55:{2,6}:{(44,1),(47,1),(66,1),(67,1),(68,1)}
56:{1,8}:{(44,1),(45,1),(67,1)}
57:{1,7}:{(44,1),(46,1),(68,1)}
58:{3,5}:{(47,1),(48,1),(66,1),(69,1)}
59:{7,8}:{(45,1),(46,1),(71,1)}
60:{3,6}:{(49,1),(51,1),(72,1),(74,1)}
61:{3,6}:{(50,1),(52,1),(73,1),(75,1)}
62:{4}:{(51,1)}
63:{4}:{(52,1)}
64:{2,7,8}:{(49,1),(53,1),(67,1),(68,1),(74,1)}
65:{2,7,8}:{(50,1),(54,1),(67,1),(68,1),(75,1)}
66:{3,6}:{(55,1),(58,1),(76,1),(77,1),(78,1)}
67:{2,8}:{(55,1),(56,1),(77,1)}
68:{2,7}:{(55,1),(57,1),(78,1)}
69:{4,5}:{(58,1),(62,1),(63,1),(76,1),(82,1),(83,1)}
70:{1,7,8}:{(56,1),(57,1),(59,1),(79,1),(80,1)}
71:{6}:{(59,1),(81,1)}
72:{4,6}:{(60,1),(62,1),(82,1),(84,1),(102,1)}
73:{4,6}:{(61,1),(63,1),(83,1),(85,1),(103,1)}
74:{3,7,8}:{(60,1),(64,1),(77,1),(78,1),(84,1)}
75:{3,7,8}:{(61,1),(65,1),(77,1),(78,1),(85,1)}
76:{4,6}:{(66,1),(69,1),(86,1),(87,1),(88,1)}
77:{3,8}:{(66,1),(67,1),(87,1)}
78:{3,7}:{(66,1),(68,1),(88,1)}
79:{2,7,8}:{(67,1),(68,1),(70,1),(89,1),(90,1)}
80:{1,6}:{(70,1),(71,1),(90,1),(91,1)}
81:{5}:{(71,1),(92,1)}
82:{5}:{(72,1)}
83:{5}:{(73,1)}
84:{4,7,8}:{(72,1),(74,1),(87,1),(88,1),(93,1)}
85:{4,7,8}:{(73,1),(75,1),(87,1),(88,1),(94,1)}
86:{5,6}:{(76,1),(82,1),(83,1),(95,1),(96,1),(102,1),(103,1)}
87:{4,8}:{(76,1),(77,1),(95,1)}
88:{4,7}:{(76,1),(78,1),(96,1)}
89:{3,7,8}:{(77,1),(78,1),(79,1),(97,1),(98,1)}
90:{2,6}:{(79,1),(80,1),(98,1),(99,1)}
91:{1,5}:{(80,1),(81,1),(99,1),(100,1)}
92:{4}:{(81,1),(101,1)}
93:{5,7,8}:{(82,1),(84,1),(95,1),(96,1),(102,1),(114,1)}
94:{5,7,8}:{(83,1),(85,1),(95,1),(96,1),(103,1),(114,1)}
95:{5,8}:{(86,1),(87,1),(104,1)}
96:{5,7}:{(86,1),(88,1),(105,1)}
97:{4,7,8}:{(87,1),(88,1),(89,1),(106,1),(107,1)}
98:{3,6}:{(89,1),(90,1),(107,1),(108,1)}
99:{2,5}:{(90,1),(91,1),(108,1),(109,1)}
100:{1,4}:{(91,1),(92,1),(109,1),(110,1)}
101:{3}:{(92,1),(111,1)}
102:{6}:{(93,1)}
103:{6}:{(94,1)}
104:{6,8}:{(95,1),(102,1),(103,1),(114,1)}
105:{6,7}:{(96,1),(102,1),(103,1),(114,1)}
106:{5,7,8}:{(95,1),(96,1),(97,1),(112,1),(113,1)}
107:{4,6}:{(97,1),(98,1),(113,1),(115,1)}
108:{3,5}:{(98,1),(99,1),(115,1),(116,1)}
109:{2,4}:{(99,1),(100,1),(116,1),(117,1)}
110:{1,3}:{(100,1),(101,1),(117,1),(118,1)}
111:{2}:{(101,1),(119,1)}
112:{6,7,8}:{(104,1),(105,1),(106,1)}
113:{5,6}:{(106,1),(107,1)}
114:{7,8}:{(104,1),(105,1)}
115:{4,5}:{(107,1),(108,1)}
116:{3,4}:{(108,1),(109,1)}
117:{2,3}:{(109,1),(110,1)}
118:{1,2}:{(110,1),(111,1)}
119:{1}:{(111,1)}