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]
121	[0,0,0,0,0,1]
122	[1,0,0,0,0,1]
123	[2,0,0,0,0,1]
124	[0,1,0,0,0,1]
125	[1,1,0,0,0,1]
126	[2,1,0,0,0,1]
127	[0,2,0,0,0,1]
128	[1,2,0,0,0,1]
129	[2,2,0,0,0,1]
130	[0,0,1,0,0,1]
131	[1,0,1,0,0,1]
132	[2,0,1,0,0,1]
133	[0,1,1,0,0,1]
134	[1,1,1,0,0,1]
135	[2,1,1,0,0,1]
136	[0,2,1,0,0,1]
137	[1,2,1,0,0,1]
138	[2,2,1,0,0,1]
139	[0,0,2,0,0,1]
140	[1,0,2,0,0,1]
141	[2,0,2,0,0,1]
142	[0,1,2,0,0,1]
143	[1,1,2,0,0,1]
144	[2,1,2,0,0,1]
145	[0,2,2,0,0,1]
146	[1,2,2,0,0,1]
147	[2,2,2,0,0,1]
148	[0,0,0,1,0,1]
149	[1,0,0,1,0,1]
150	[2,0,0,1,0,1]
151	[0,1,0,1,0,1]
152	[1,1,0,1,0,1]
153	[2,1,0,1,0,1]
154	[0,2,0,1,0,1]
155	[1,2,0,1,0,1]
156	[2,2,0,1,0,1]
157	[0,0,1,1,0,1]
158	[1,0,1,1,0,1]
159	[2,0,1,1,0,1]
160	[0,1,1,1,0,1]
161	[1,1,1,1,0,1]
162	[2,1,1,1,0,1]
163	[0,2,1,1,0,1]
164	[1,2,1,1,0,1]
165	[2,2,1,1,0,1]
166	[0,0,2,1,0,1]
167	[1,0,2,1,0,1]
168	[2,0,2,1,0,1]
169	[0,1,2,1,0,1]
170	[1,1,2,1,0,1]
171	[2,1,2,1,0,1]
172	[0,2,2,1,0,1]
173	[1,2,2,1,0,1]
174	[2,2,2,1,0,1]
175	[0,0,0,2,0,1]
176	[1,0,0,2,0,1]
177	[2,0,0,2,0,1]
178	[0,1,0,2,0,1]
179	[1,1,0,2,0,1]
180	[2,1,0,2,0,1]
181	[0,2,0,2,0,1]
182	[1,2,0,2,0,1]
183	[2,2,0,2,0,1]
184	[0,0,1,2,0,1]
185	[1,0,1,2,0,1]
186	[2,0,1,2,0,1]
187	[0,1,1,2,0,1]
188	[1,1,1,2,0,1]
189	[2,1,1,2,0,1]
190	[0,2,1,2,0,1]
191	[1,2,1,2,0,1]
192	[2,2,1,2,0,1]
193	[0,0,2,2,0,1]
194	[1,0,2,2,0,1]
195	[2,0,2,2,0,1]
196	[0,1,2,2,0,1]
197	[1,1,2,2,0,1]
198	[2,1,2,2,0,1]
199	[0,2,2,2,0,1]
200	[1,2,2,2,0,1]
201	[2,2,2,2,0,1]
202	[0,0,0,0,0,2]
203	[1,0,0,0,0,2]
204	[2,0,0,0,0,2]
205	[0,1,0,0,0,2]
206	[1,1,0,0,0,2]
207	[2,1,0,0,0,2]
208	[0,2,0,0,0,2]
209	[1,2,0,0,0,2]
210	[2,2,0,0,0,2]
211	[0,0,1,0,0,2]
212	[1,0,1,0,0,2]
213	[2,0,1,0,0,2]
214	[0,1,1,0,0,2]
215	[1,1,1,0,0,2]
216	[2,1,1,0,0,2]
217	[0,2,1,0,0,2]
218	[1,2,1,0,0,2]
219	[2,2,1,0,0,2]
220	[0,0,2,0,0,2]
221	[1,0,2,0,0,2]
222	[2,0,2,0,0,2]
223	[0,1,2,0,0,2]
224	[1,1,2,0,0,2]
225	[2,1,2,0,0,2]
226	[0,2,2,0,0,2]
227	[1,2,2,0,0,2]
228	[2,2,2,0,0,2]
229	[0,0,0,1,0,2]
230	[1,0,0,1,0,2]
231	[2,0,0,1,0,2]
232	[0,1,0,1,0,2]
233	[1,1,0,1,0,2]
234	[2,1,0,1,0,2]
235	[0,2,0,1,0,2]
236	[1,2,0,1,0,2]
237	[2,2,0,1,0,2]
238	[0,0,1,1,0,2]
239	[1,0,1,1,0,2]
240	[2,0,1,1,0,2]
241	[0,1,1,1,0,2]
242	[1,1,1,1,0,2]
243	[2,1,1,1,0,2]
244	[0,2,1,1,0,2]
245	[1,2,1,1,0,2]
246	[2,2,1,1,0,2]
247	[0,0,2,1,0,2]
248	[1,0,2,1,0,2]
249	[2,0,2,1,0,2]
250	[0,1,2,1,0,2]
251	[1,1,2,1,0,2]
252	[2,1,2,1,0,2]
253	[0,2,2,1,0,2]
254	[1,2,2,1,0,2]
255	[2,2,2,1,0,2]
256	[0,0,0,2,0,2]
257	[1,0,0,2,0,2]
258	[2,0,0,2,0,2]
259	[0,1,0,2,0,2]
260	[1,1,0,2,0,2]
261	[2,1,0,2,0,2]
262	[0,2,0,2,0,2]
263	[1,2,0,2,0,2]
264	[2,2,0,2,0,2]
265	[0,0,1,2,0,2]
266	[1,0,1,2,0,2]
267	[2,0,1,2,0,2]
268	[0,1,1,2,0,2]
269	[1,1,1,2,0,2]
270	[2,1,1,2,0,2]
271	[0,2,1,2,0,2]
272	[1,2,1,2,0,2]
273	[2,2,1,2,0,2]
274	[0,0,2,2,0,2]
275	[1,0,2,2,0,2]
276	[2,0,2,2,0,2]
277	[0,1,2,2,0,2]
278	[1,1,2,2,0,2]
279	[2,1,2,2,0,2]
280	[0,2,2,2,0,2]
281	[1,2,2,2,0,2]
282	[2,2,2,2,0,2]
283	[0,0,0,0,1,2]
284	[1,0,0,0,1,2]
285	[2,0,0,0,1,2]
286	[0,1,0,0,1,2]
287	[1,1,0,0,1,2]
288	[2,1,0,0,1,2]
289	[0,2,0,0,1,2]
290	[1,2,0,0,1,2]
291	[2,2,0,0,1,2]
292	[0,0,1,0,1,2]
293	[1,0,1,0,1,2]
294	[2,0,1,0,1,2]
295	[0,1,1,0,1,2]
296	[1,1,1,0,1,2]
297	[2,1,1,0,1,2]
298	[0,2,1,0,1,2]
299	[1,2,1,0,1,2]
300	[2,2,1,0,1,2]
301	[0,0,2,0,1,2]
302	[1,0,2,0,1,2]
303	[2,0,2,0,1,2]
304	[0,1,2,0,1,2]
305	[1,1,2,0,1,2]
306	[2,1,2,0,1,2]
307	[0,2,2,0,1,2]
308	[1,2,2,0,1,2]
309	[2,2,2,0,1,2]
310	[0,0,0,1,1,2]
311	[1,0,0,1,1,2]
312	[2,0,0,1,1,2]
313	[0,1,0,1,1,2]
314	[1,1,0,1,1,2]
315	[2,1,0,1,1,2]
316	[0,2,0,1,1,2]
317	[1,2,0,1,1,2]
318	[2,2,0,1,1,2]
319	[0,0,1,1,1,2]
320	[1,0,1,1,1,2]
321	[2,0,1,1,1,2]
322	[0,1,1,1,1,2]
323	[1,1,1,1,1,2]
324	[2,1,1,1,1,2]
325	[0,2,1,1,1,2]
326	[1,2,1,1,1,2]
327	[2,2,1,1,1,2]
328	[0,0,2,1,1,2]
329	[1,0,2,1,1,2]
330	[2,0,2,1,1,2]
331	[0,1,2,1,1,2]
332	[1,1,2,1,1,2]
333	[2,1,2,1,1,2]
334	[0,2,2,1,1,2]
335	[1,2,2,1,1,2]
336	[2,2,2,1,1,2]
337	[0,0,0,2,1,2]
338	[1,0,0,2,1,2]
339	[2,0,0,2,1,2]
340	[0,1,0,2,1,2]
341	[1,1,0,2,1,2]
342	[2,1,0,2,1,2]
343	[0,2,0,2,1,2]
344	[1,2,0,2,1,2]
345	[2,2,0,2,1,2]
346	[0,0,1,2,1,2]
347	[1,0,1,2,1,2]
348	[2,0,1,2,1,2]
349	[0,1,1,2,1,2]
350	[1,1,1,2,1,2]
351	[2,1,1,2,1,2]
352	[0,2,1,2,1,2]
353	[1,2,1,2,1,2]
354	[2,2,1,2,1,2]
355	[0,0,2,2,1,2]
356	[1,0,2,2,1,2]
357	[2,0,2,2,1,2]
358	[0,1,2,2,1,2]
359	[1,1,2,2,1,2]
360	[2,1,2,2,1,2]
361	[0,2,2,2,1,2]
362	[1,2,2,2,1,2]
363	[2,2,2,2,1,2]