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