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