1	[0,1]
2	[0,2]
3	[1,2]
4	[0,0,1]
5	[1,0,1]
6	[2,0,1]
7	[0,0,2]
8	[1,0,2]
9	[2,0,2]
10	[0,1,2]
11	[1,1,2]
12	[2,1,2]
13	[0,0,0,1]
14	[1,0,0,1]
15	[2,0,0,1]
16	[0,1,0,1]
17	[1,1,0,1]
18	[2,1,0,1]
19	[0,2,0,1]
20	[1,2,0,1]
21	[2,2,0,1]
22	[0,0,0,2]
23	[1,0,0,2]
24	[2,0,0,2]
25	[0,1,0,2]
26	[1,1,0,2]
27	[2,1,0,2]
28	[0,2,0,2]
29	[1,2,0,2]
30	[2,2,0,2]
31	[0,0,1,2]
32	[1,0,1,2]
33	[2,0,1,2]
34	[0,1,1,2]
35	[1,1,1,2]
36	[2,1,1,2]
37	[0,2,1,2]
38	[1,2,1,2]
39	[2,2,1,2]
40	[0,0,0,0,1]
41	[1,0,0,0,1]
42	[2,0,0,0,1]
43	[0,1,0,0,1]
44	[1,1,0,0,1]
45	[2,1,0,0,1]
46	[0,2,0,0,1]
47	[1,2,0,0,1]
48	[2,2,0,0,1]
49	[0,0,1,0,1]
50	[1,0,1,0,1]
51	[2,0,1,0,1]
52	[0,1,1,0,1]
53	[1,1,1,0,1]
54	[2,1,1,0,1]
55	[0,2,1,0,1]
56	[1,2,1,0,1]
57	[2,2,1,0,1]
58	[0,0,2,0,1]
59	[1,0,2,0,1]
60	[2,0,2,0,1]
61	[0,1,2,0,1]
62	[1,1,2,0,1]
63	[2,1,2,0,1]
64	[0,2,2,0,1]
65	[1,2,2,0,1]
66	[2,2,2,0,1]
67	[0,0,0,0,2]
68	[1,0,0,0,2]
69	[2,0,0,0,2]
70	[0,1,0,0,2]
71	[1,1,0,0,2]
72	[2,1,0,0,2]
73	[0,2,0,0,2]
74	[1,2,0,0,2]
75	[2,2,0,0,2]
76	[0,0,1,0,2]
77	[1,0,1,0,2]
78	[2,0,1,0,2]
79	[0,1,1,0,2]
80	[1,1,1,0,2]
81	[2,1,1,0,2]
82	[0,2,1,0,2]
83	[1,2,1,0,2]
84	[2,2,1,0,2]
85	[0,0,2,0,2]
86	[1,0,2,0,2]
87	[2,0,2,0,2]
88	[0,1,2,0,2]
89	[1,1,2,0,2]
90	[2,1,2,0,2]
91	[0,2,2,0,2]
92	[1,2,2,0,2]
93	[2,2,2,0,2]
94	[0,0,0,1,2]
95	[1,0,0,1,2]
96	[2,0,0,1,2]
97	[0,1,0,1,2]
98	[1,1,0,1,2]
99	[2,1,0,1,2]
100	[0,2,0,1,2]
101	[1,2,0,1,2]
102	[2,2,0,1,2]
103	[0,0,1,1,2]
104	[1,0,1,1,2]
105	[2,0,1,1,2]
106	[0,1,1,1,2]
107	[1,1,1,1,2]
108	[2,1,1,1,2]
109	[0,2,1,1,2]
110	[1,2,1,1,2]
111	[2,2,1,1,2]
112	[0,0,2,1,2]
113	[1,0,2,1,2]
114	[2,0,2,1,2]
115	[0,1,2,1,2]
116	[1,1,2,1,2]
117	[2,1,2,1,2]
118	[0,2,2,1,2]
119	[1,2,2,1,2]
120	[2,2,2,1,2]