0	[5, 0, 0, 0, 0, 0]	[1, 1, 1, 1, 1]
  1	[4, 1, 0, 0, 0, 0]	[1, 1, 1, 1, 2]
  2	[4, 0, 1, 0, 0, 0]	[1, 1, 1, 1, 3]
  3	[4, 0, 0, 1, 0, 0]	[1, 1, 1, 1, 4]
  4	[4, 0, 0, 0, 1, 0]	[1, 1, 1, 1, 5]
  5	[4, 0, 0, 0, 0, 1]	[1, 1, 1, 1, 6]
  6	[3, 2, 0, 0, 0, 0]	[1, 1, 1, 2, 2]
  7	[3, 1, 1, 0, 0, 0]	[1, 1, 1, 2, 3]
  8	[3, 1, 0, 1, 0, 0]	[1, 1, 1, 2, 4]
  9	[3, 1, 0, 0, 1, 0]	[1, 1, 1, 2, 5]
 10	[3, 1, 0, 0, 0, 1]	[1, 1, 1, 2, 6]
 11	[3, 0, 2, 0, 0, 0]	[1, 1, 1, 3, 3]
 12	[3, 0, 1, 1, 0, 0]	[1, 1, 1, 3, 4]
 13	[3, 0, 1, 0, 1, 0]	[1, 1, 1, 3, 5]
 14	[3, 0, 1, 0, 0, 1]	[1, 1, 1, 3, 6]
 15	[3, 0, 0, 2, 0, 0]	[1, 1, 1, 4, 4]
 16	[3, 0, 0, 1, 1, 0]	[1, 1, 1, 4, 5]
 17	[3, 0, 0, 1, 0, 1]	[1, 1, 1, 4, 6]
 18	[3, 0, 0, 0, 2, 0]	[1, 1, 1, 5, 5]
 19	[3, 0, 0, 0, 1, 1]	[1, 1, 1, 5, 6]
 20	[3, 0, 0, 0, 0, 2]	[1, 1, 1, 6, 6]
 21	[2, 3, 0, 0, 0, 0]	[1, 1, 2, 2, 2]
 22	[2, 2, 1, 0, 0, 0]	[1, 1, 2, 2, 3]
 23	[2, 2, 0, 1, 0, 0]	[1, 1, 2, 2, 4]
 24	[2, 2, 0, 0, 1, 0]	[1, 1, 2, 2, 5]
 25	[2, 2, 0, 0, 0, 1]	[1, 1, 2, 2, 6]
 26	[2, 1, 2, 0, 0, 0]	[1, 1, 2, 3, 3]
 27	[2, 1, 1, 1, 0, 0]	[1, 1, 2, 3, 4]
 28	[2, 1, 1, 0, 1, 0]	[1, 1, 2, 3, 5]
 29	[2, 1, 1, 0, 0, 1]	[1, 1, 2, 3, 6]
 30	[2, 1, 0, 2, 0, 0]	[1, 1, 2, 4, 4]
 31	[2, 1, 0, 1, 1, 0]	[1, 1, 2, 4, 5]
 32	[2, 1, 0, 1, 0, 1]	[1, 1, 2, 4, 6]
 33	[2, 1, 0, 0, 2, 0]	[1, 1, 2, 5, 5]
 34	[2, 1, 0, 0, 1, 1]	[1, 1, 2, 5, 6]
 35	[2, 1, 0, 0, 0, 2]	[1, 1, 2, 6, 6]
 36	[2, 0, 3, 0, 0, 0]	[1, 1, 3, 3, 3]
 37	[2, 0, 2, 1, 0, 0]	[1, 1, 3, 3, 4]
 38	[2, 0, 2, 0, 1, 0]	[1, 1, 3, 3, 5]
 39	[2, 0, 2, 0, 0, 1]	[1, 1, 3, 3, 6]
 40	[2, 0, 1, 2, 0, 0]	[1, 1, 3, 4, 4]
 41	[2, 0, 1, 1, 1, 0]	[1, 1, 3, 4, 5]
 42	[2, 0, 1, 1, 0, 1]	[1, 1, 3, 4, 6]
 43	[2, 0, 1, 0, 2, 0]	[1, 1, 3, 5, 5]
 44	[2, 0, 1, 0, 1, 1]	[1, 1, 3, 5, 6]
 45	[2, 0, 1, 0, 0, 2]	[1, 1, 3, 6, 6]
 46	[2, 0, 0, 3, 0, 0]	[1, 1, 4, 4, 4]
 47	[2, 0, 0, 2, 1, 0]	[1, 1, 4, 4, 5]
 48	[2, 0, 0, 2, 0, 1]	[1, 1, 4, 4, 6]
 49	[2, 0, 0, 1, 2, 0]	[1, 1, 4, 5, 5]
 50	[2, 0, 0, 1, 1, 1]	[1, 1, 4, 5, 6]
 51	[2, 0, 0, 1, 0, 2]	[1, 1, 4, 6, 6]
 52	[2, 0, 0, 0, 3, 0]	[1, 1, 5, 5, 5]
 53	[2, 0, 0, 0, 2, 1]	[1, 1, 5, 5, 6]
 54	[2, 0, 0, 0, 1, 2]	[1, 1, 5, 6, 6]
 55	[2, 0, 0, 0, 0, 3]	[1, 1, 6, 6, 6]
 56	[1, 4, 0, 0, 0, 0]	[1, 2, 2, 2, 2]
 57	[1, 3, 1, 0, 0, 0]	[1, 2, 2, 2, 3]
 58	[1, 3, 0, 1, 0, 0]	[1, 2, 2, 2, 4]
 59	[1, 3, 0, 0, 1, 0]	[1, 2, 2, 2, 5]
 60	[1, 3, 0, 0, 0, 1]	[1, 2, 2, 2, 6]
 61	[1, 2, 2, 0, 0, 0]	[1, 2, 2, 3, 3]
 62	[1, 2, 1, 1, 0, 0]	[1, 2, 2, 3, 4]
 63	[1, 2, 1, 0, 1, 0]	[1, 2, 2, 3, 5]
 64	[1, 2, 1, 0, 0, 1]	[1, 2, 2, 3, 6]
 65	[1, 2, 0, 2, 0, 0]	[1, 2, 2, 4, 4]
 66	[1, 2, 0, 1, 1, 0]	[1, 2, 2, 4, 5]
 67	[1, 2, 0, 1, 0, 1]	[1, 2, 2, 4, 6]
 68	[1, 2, 0, 0, 2, 0]	[1, 2, 2, 5, 5]
 69	[1, 2, 0, 0, 1, 1]	[1, 2, 2, 5, 6]
 70	[1, 2, 0, 0, 0, 2]	[1, 2, 2, 6, 6]
 71	[1, 1, 3, 0, 0, 0]	[1, 2, 3, 3, 3]
 72	[1, 1, 2, 1, 0, 0]	[1, 2, 3, 3, 4]
 73	[1, 1, 2, 0, 1, 0]	[1, 2, 3, 3, 5]
 74	[1, 1, 2, 0, 0, 1]	[1, 2, 3, 3, 6]
 75	[1, 1, 1, 2, 0, 0]	[1, 2, 3, 4, 4]
 76	[1, 1, 1, 1, 1, 0]	[1, 2, 3, 4, 5]
 77	[1, 1, 1, 1, 0, 1]	[1, 2, 3, 4, 6]
 78	[1, 1, 1, 0, 2, 0]	[1, 2, 3, 5, 5]
 79	[1, 1, 1, 0, 1, 1]	[1, 2, 3, 5, 6]
 80	[1, 1, 1, 0, 0, 2]	[1, 2, 3, 6, 6]
 81	[1, 1, 0, 3, 0, 0]	[1, 2, 4, 4, 4]
 82	[1, 1, 0, 2, 1, 0]	[1, 2, 4, 4, 5]
 83	[1, 1, 0, 2, 0, 1]	[1, 2, 4, 4, 6]
 84	[1, 1, 0, 1, 2, 0]	[1, 2, 4, 5, 5]
 85	[1, 1, 0, 1, 1, 1]	[1, 2, 4, 5, 6]
 86	[1, 1, 0, 1, 0, 2]	[1, 2, 4, 6, 6]
 87	[1, 1, 0, 0, 3, 0]	[1, 2, 5, 5, 5]
 88	[1, 1, 0, 0, 2, 1]	[1, 2, 5, 5, 6]
 89	[1, 1, 0, 0, 1, 2]	[1, 2, 5, 6, 6]
 90	[1, 1, 0, 0, 0, 3]	[1, 2, 6, 6, 6]
 91	[1, 0, 4, 0, 0, 0]	[1, 3, 3, 3, 3]
 92	[1, 0, 3, 1, 0, 0]	[1, 3, 3, 3, 4]
 93	[1, 0, 3, 0, 1, 0]	[1, 3, 3, 3, 5]
 94	[1, 0, 3, 0, 0, 1]	[1, 3, 3, 3, 6]
 95	[1, 0, 2, 2, 0, 0]	[1, 3, 3, 4, 4]
 96	[1, 0, 2, 1, 1, 0]	[1, 3, 3, 4, 5]
 97	[1, 0, 2, 1, 0, 1]	[1, 3, 3, 4, 6]
 98	[1, 0, 2, 0, 2, 0]	[1, 3, 3, 5, 5]
 99	[1, 0, 2, 0, 1, 1]	[1, 3, 3, 5, 6]
100	[1, 0, 2, 0, 0, 2]	[1, 3, 3, 6, 6]
101	[1, 0, 1, 3, 0, 0]	[1, 3, 4, 4, 4]
102	[1, 0, 1, 2, 1, 0]	[1, 3, 4, 4, 5]
103	[1, 0, 1, 2, 0, 1]	[1, 3, 4, 4, 6]
104	[1, 0, 1, 1, 2, 0]	[1, 3, 4, 5, 5]
105	[1, 0, 1, 1, 1, 1]	[1, 3, 4, 5, 6]
106	[1, 0, 1, 1, 0, 2]	[1, 3, 4, 6, 6]
107	[1, 0, 1, 0, 3, 0]	[1, 3, 5, 5, 5]
108	[1, 0, 1, 0, 2, 1]	[1, 3, 5, 5, 6]
109	[1, 0, 1, 0, 1, 2]	[1, 3, 5, 6, 6]
110	[1, 0, 1, 0, 0, 3]	[1, 3, 6, 6, 6]
111	[1, 0, 0, 4, 0, 0]	[1, 4, 4, 4, 4]
112	[1, 0, 0, 3, 1, 0]	[1, 4, 4, 4, 5]
113	[1, 0, 0, 3, 0, 1]	[1, 4, 4, 4, 6]
114	[1, 0, 0, 2, 2, 0]	[1, 4, 4, 5, 5]
115	[1, 0, 0, 2, 1, 1]	[1, 4, 4, 5, 6]
116	[1, 0, 0, 2, 0, 2]	[1, 4, 4, 6, 6]
117	[1, 0, 0, 1, 3, 0]	[1, 4, 5, 5, 5]
118	[1, 0, 0, 1, 2, 1]	[1, 4, 5, 5, 6]
119	[1, 0, 0, 1, 1, 2]	[1, 4, 5, 6, 6]
120	[1, 0, 0, 1, 0, 3]	[1, 4, 6, 6, 6]
121	[1, 0, 0, 0, 4, 0]	[1, 5, 5, 5, 5]
122	[1, 0, 0, 0, 3, 1]	[1, 5, 5, 5, 6]
123	[1, 0, 0, 0, 2, 2]	[1, 5, 5, 6, 6]
124	[1, 0, 0, 0, 1, 3]	[1, 5, 6, 6, 6]
125	[1, 0, 0, 0, 0, 4]	[1, 6, 6, 6, 6]
126	[0, 5, 0, 0, 0, 0]	[2, 2, 2, 2, 2]
127	[0, 4, 1, 0, 0, 0]	[2, 2, 2, 2, 3]
128	[0, 4, 0, 1, 0, 0]	[2, 2, 2, 2, 4]
129	[0, 4, 0, 0, 1, 0]	[2, 2, 2, 2, 5]
130	[0, 4, 0, 0, 0, 1]	[2, 2, 2, 2, 6]
131	[0, 3, 2, 0, 0, 0]	[2, 2, 2, 3, 3]
132	[0, 3, 1, 1, 0, 0]	[2, 2, 2, 3, 4]
133	[0, 3, 1, 0, 1, 0]	[2, 2, 2, 3, 5]
134	[0, 3, 1, 0, 0, 1]	[2, 2, 2, 3, 6]
135	[0, 3, 0, 2, 0, 0]	[2, 2, 2, 4, 4]
136	[0, 3, 0, 1, 1, 0]	[2, 2, 2, 4, 5]
137	[0, 3, 0, 1, 0, 1]	[2, 2, 2, 4, 6]
138	[0, 3, 0, 0, 2, 0]	[2, 2, 2, 5, 5]
139	[0, 3, 0, 0, 1, 1]	[2, 2, 2, 5, 6]
140	[0, 3, 0, 0, 0, 2]	[2, 2, 2, 6, 6]
141	[0, 2, 3, 0, 0, 0]	[2, 2, 3, 3, 3]
142	[0, 2, 2, 1, 0, 0]	[2, 2, 3, 3, 4]
143	[0, 2, 2, 0, 1, 0]	[2, 2, 3, 3, 5]
144	[0, 2, 2, 0, 0, 1]	[2, 2, 3, 3, 6]
145	[0, 2, 1, 2, 0, 0]	[2, 2, 3, 4, 4]
146	[0, 2, 1, 1, 1, 0]	[2, 2, 3, 4, 5]
147	[0, 2, 1, 1, 0, 1]	[2, 2, 3, 4, 6]
148	[0, 2, 1, 0, 2, 0]	[2, 2, 3, 5, 5]
149	[0, 2, 1, 0, 1, 1]	[2, 2, 3, 5, 6]
150	[0, 2, 1, 0, 0, 2]	[2, 2, 3, 6, 6]
151	[0, 2, 0, 3, 0, 0]	[2, 2, 4, 4, 4]
152	[0, 2, 0, 2, 1, 0]	[2, 2, 4, 4, 5]
153	[0, 2, 0, 2, 0, 1]	[2, 2, 4, 4, 6]
154	[0, 2, 0, 1, 2, 0]	[2, 2, 4, 5, 5]
155	[0, 2, 0, 1, 1, 1]	[2, 2, 4, 5, 6]
156	[0, 2, 0, 1, 0, 2]	[2, 2, 4, 6, 6]
157	[0, 2, 0, 0, 3, 0]	[2, 2, 5, 5, 5]
158	[0, 2, 0, 0, 2, 1]	[2, 2, 5, 5, 6]
159	[0, 2, 0, 0, 1, 2]	[2, 2, 5, 6, 6]
160	[0, 2, 0, 0, 0, 3]	[2, 2, 6, 6, 6]
161	[0, 1, 4, 0, 0, 0]	[2, 3, 3, 3, 3]
162	[0, 1, 3, 1, 0, 0]	[2, 3, 3, 3, 4]
163	[0, 1, 3, 0, 1, 0]	[2, 3, 3, 3, 5]
164	[0, 1, 3, 0, 0, 1]	[2, 3, 3, 3, 6]
165	[0, 1, 2, 2, 0, 0]	[2, 3, 3, 4, 4]
166	[0, 1, 2, 1, 1, 0]	[2, 3, 3, 4, 5]
167	[0, 1, 2, 1, 0, 1]	[2, 3, 3, 4, 6]
168	[0, 1, 2, 0, 2, 0]	[2, 3, 3, 5, 5]
169	[0, 1, 2, 0, 1, 1]	[2, 3, 3, 5, 6]
170	[0, 1, 2, 0, 0, 2]	[2, 3, 3, 6, 6]
171	[0, 1, 1, 3, 0, 0]	[2, 3, 4, 4, 4]
172	[0, 1, 1, 2, 1, 0]	[2, 3, 4, 4, 5]
173	[0, 1, 1, 2, 0, 1]	[2, 3, 4, 4, 6]
174	[0, 1, 1, 1, 2, 0]	[2, 3, 4, 5, 5]
175	[0, 1, 1, 1, 1, 1]	[2, 3, 4, 5, 6]
176	[0, 1, 1, 1, 0, 2]	[2, 3, 4, 6, 6]
177	[0, 1, 1, 0, 3, 0]	[2, 3, 5, 5, 5]
178	[0, 1, 1, 0, 2, 1]	[2, 3, 5, 5, 6]
179	[0, 1, 1, 0, 1, 2]	[2, 3, 5, 6, 6]
180	[0, 1, 1, 0, 0, 3]	[2, 3, 6, 6, 6]
181	[0, 1, 0, 4, 0, 0]	[2, 4, 4, 4, 4]
182	[0, 1, 0, 3, 1, 0]	[2, 4, 4, 4, 5]
183	[0, 1, 0, 3, 0, 1]	[2, 4, 4, 4, 6]
184	[0, 1, 0, 2, 2, 0]	[2, 4, 4, 5, 5]
185	[0, 1, 0, 2, 1, 1]	[2, 4, 4, 5, 6]
186	[0, 1, 0, 2, 0, 2]	[2, 4, 4, 6, 6]
187	[0, 1, 0, 1, 3, 0]	[2, 4, 5, 5, 5]
188	[0, 1, 0, 1, 2, 1]	[2, 4, 5, 5, 6]
189	[0, 1, 0, 1, 1, 2]	[2, 4, 5, 6, 6]
190	[0, 1, 0, 1, 0, 3]	[2, 4, 6, 6, 6]
191	[0, 1, 0, 0, 4, 0]	[2, 5, 5, 5, 5]
192	[0, 1, 0, 0, 3, 1]	[2, 5, 5, 5, 6]
193	[0, 1, 0, 0, 2, 2]	[2, 5, 5, 6, 6]
194	[0, 1, 0, 0, 1, 3]	[2, 5, 6, 6, 6]
195	[0, 1, 0, 0, 0, 4]	[2, 6, 6, 6, 6]
196	[0, 0, 5, 0, 0, 0]	[3, 3, 3, 3, 3]
197	[0, 0, 4, 1, 0, 0]	[3, 3, 3, 3, 4]
198	[0, 0, 4, 0, 1, 0]	[3, 3, 3, 3, 5]
199	[0, 0, 4, 0, 0, 1]	[3, 3, 3, 3, 6]
200	[0, 0, 3, 2, 0, 0]	[3, 3, 3, 4, 4]
201	[0, 0, 3, 1, 1, 0]	[3, 3, 3, 4, 5]
202	[0, 0, 3, 1, 0, 1]	[3, 3, 3, 4, 6]
203	[0, 0, 3, 0, 2, 0]	[3, 3, 3, 5, 5]
204	[0, 0, 3, 0, 1, 1]	[3, 3, 3, 5, 6]
205	[0, 0, 3, 0, 0, 2]	[3, 3, 3, 6, 6]
206	[0, 0, 2, 3, 0, 0]	[3, 3, 4, 4, 4]
207	[0, 0, 2, 2, 1, 0]	[3, 3, 4, 4, 5]
208	[0, 0, 2, 2, 0, 1]	[3, 3, 4, 4, 6]
209	[0, 0, 2, 1, 2, 0]	[3, 3, 4, 5, 5]
210	[0, 0, 2, 1, 1, 1]	[3, 3, 4, 5, 6]
211	[0, 0, 2, 1, 0, 2]	[3, 3, 4, 6, 6]
212	[0, 0, 2, 0, 3, 0]	[3, 3, 5, 5, 5]
213	[0, 0, 2, 0, 2, 1]	[3, 3, 5, 5, 6]
214	[0, 0, 2, 0, 1, 2]	[3, 3, 5, 6, 6]
215	[0, 0, 2, 0, 0, 3]	[3, 3, 6, 6, 6]
216	[0, 0, 1, 4, 0, 0]	[3, 4, 4, 4, 4]
217	[0, 0, 1, 3, 1, 0]	[3, 4, 4, 4, 5]
218	[0, 0, 1, 3, 0, 1]	[3, 4, 4, 4, 6]
219	[0, 0, 1, 2, 2, 0]	[3, 4, 4, 5, 5]
220	[0, 0, 1, 2, 1, 1]	[3, 4, 4, 5, 6]
221	[0, 0, 1, 2, 0, 2]	[3, 4, 4, 6, 6]
222	[0, 0, 1, 1, 3, 0]	[3, 4, 5, 5, 5]
223	[0, 0, 1, 1, 2, 1]	[3, 4, 5, 5, 6]
224	[0, 0, 1, 1, 1, 2]	[3, 4, 5, 6, 6]
225	[0, 0, 1, 1, 0, 3]	[3, 4, 6, 6, 6]
226	[0, 0, 1, 0, 4, 0]	[3, 5, 5, 5, 5]
227	[0, 0, 1, 0, 3, 1]	[3, 5, 5, 5, 6]
228	[0, 0, 1, 0, 2, 2]	[3, 5, 5, 6, 6]
229	[0, 0, 1, 0, 1, 3]	[3, 5, 6, 6, 6]
230	[0, 0, 1, 0, 0, 4]	[3, 6, 6, 6, 6]
231	[0, 0, 0, 5, 0, 0]	[4, 4, 4, 4, 4]
232	[0, 0, 0, 4, 1, 0]	[4, 4, 4, 4, 5]
233	[0, 0, 0, 4, 0, 1]	[4, 4, 4, 4, 6]
234	[0, 0, 0, 3, 2, 0]	[4, 4, 4, 5, 5]
235	[0, 0, 0, 3, 1, 1]	[4, 4, 4, 5, 6]
236	[0, 0, 0, 3, 0, 2]	[4, 4, 4, 6, 6]
237	[0, 0, 0, 2, 3, 0]	[4, 4, 5, 5, 5]
238	[0, 0, 0, 2, 2, 1]	[4, 4, 5, 5, 6]
239	[0, 0, 0, 2, 1, 2]	[4, 4, 5, 6, 6]
240	[0, 0, 0, 2, 0, 3]	[4, 4, 6, 6, 6]
241	[0, 0, 0, 1, 4, 0]	[4, 5, 5, 5, 5]
242	[0, 0, 0, 1, 3, 1]	[4, 5, 5, 5, 6]
243	[0, 0, 0, 1, 2, 2]	[4, 5, 5, 6, 6]
244	[0, 0, 0, 1, 1, 3]	[4, 5, 6, 6, 6]
245	[0, 0, 0, 1, 0, 4]	[4, 6, 6, 6, 6]
246	[0, 0, 0, 0, 5, 0]	[5, 5, 5, 5, 5]
247	[0, 0, 0, 0, 4, 1]	[5, 5, 5, 5, 6]
248	[0, 0, 0, 0, 3, 2]	[5, 5, 5, 6, 6]
249	[0, 0, 0, 0, 2, 3]	[5, 5, 6, 6, 6]
250	[0, 0, 0, 0, 1, 4]	[5, 6, 6, 6, 6]
251	[0, 0, 0, 0, 0, 5]	[6, 6, 6, 6, 6]
0 -> [1, 1, 1, 1, 1] -> 0
1 -> [1, 1, 1, 1, 2] -> 1
2 -> [1, 1, 1, 1, 3] -> 2
3 -> [1, 1, 1, 1, 4] -> 3
4 -> [1, 1, 1, 1, 5] -> 4
5 -> [1, 1, 1, 1, 6] -> 5
6 -> [1, 1, 1, 2, 2] -> 6
7 -> [1, 1, 1, 2, 3] -> 7
8 -> [1, 1, 1, 2, 4] -> 8
9 -> [1, 1, 1, 2, 5] -> 9
10 -> [1, 1, 1, 2, 6] -> 10
11 -> [1, 1, 1, 3, 3] -> 11
12 -> [1, 1, 1, 3, 4] -> 12
13 -> [1, 1, 1, 3, 5] -> 13
14 -> [1, 1, 1, 3, 6] -> 14
15 -> [1, 1, 1, 4, 4] -> 15
16 -> [1, 1, 1, 4, 5] -> 16
17 -> [1, 1, 1, 4, 6] -> 17
18 -> [1, 1, 1, 5, 5] -> 18
19 -> [1, 1, 1, 5, 6] -> 19
20 -> [1, 1, 1, 6, 6] -> 20
21 -> [1, 1, 2, 2, 2] -> 21
22 -> [1, 1, 2, 2, 3] -> 22
23 -> [1, 1, 2, 2, 4] -> 23
24 -> [1, 1, 2, 2, 5] -> 24
25 -> [1, 1, 2, 2, 6] -> 25
26 -> [1, 1, 2, 3, 3] -> 26
27 -> [1, 1, 2, 3, 4] -> 27
28 -> [1, 1, 2, 3, 5] -> 28
29 -> [1, 1, 2, 3, 6] -> 29
30 -> [1, 1, 2, 4, 4] -> 30
31 -> [1, 1, 2, 4, 5] -> 31
32 -> [1, 1, 2, 4, 6] -> 32
33 -> [1, 1, 2, 5, 5] -> 33
34 -> [1, 1, 2, 5, 6] -> 34
35 -> [1, 1, 2, 6, 6] -> 35
36 -> [1, 1, 3, 3, 3] -> 36
37 -> [1, 1, 3, 3, 4] -> 37
38 -> [1, 1, 3, 3, 5] -> 38
39 -> [1, 1, 3, 3, 6] -> 39
40 -> [1, 1, 3, 4, 4] -> 40
41 -> [1, 1, 3, 4, 5] -> 41
42 -> [1, 1, 3, 4, 6] -> 42
43 -> [1, 1, 3, 5, 5] -> 43
44 -> [1, 1, 3, 5, 6] -> 44
45 -> [1, 1, 3, 6, 6] -> 45
46 -> [1, 1, 4, 4, 4] -> 46
47 -> [1, 1, 4, 4, 5] -> 47
48 -> [1, 1, 4, 4, 6] -> 48
49 -> [1, 1, 4, 5, 5] -> 49
50 -> [1, 1, 4, 5, 6] -> 50
51 -> [1, 1, 4, 6, 6] -> 51
52 -> [1, 1, 5, 5, 5] -> 52
53 -> [1, 1, 5, 5, 6] -> 53
54 -> [1, 1, 5, 6, 6] -> 54
55 -> [1, 1, 6, 6, 6] -> 55
56 -> [1, 2, 2, 2, 2] -> 56
57 -> [1, 2, 2, 2, 3] -> 57
58 -> [1, 2, 2, 2, 4] -> 58
59 -> [1, 2, 2, 2, 5] -> 59
60 -> [1, 2, 2, 2, 6] -> 60
61 -> [1, 2, 2, 3, 3] -> 61
62 -> [1, 2, 2, 3, 4] -> 62
63 -> [1, 2, 2, 3, 5] -> 63
64 -> [1, 2, 2, 3, 6] -> 64
65 -> [1, 2, 2, 4, 4] -> 65
66 -> [1, 2, 2, 4, 5] -> 66
67 -> [1, 2, 2, 4, 6] -> 67
68 -> [1, 2, 2, 5, 5] -> 68
69 -> [1, 2, 2, 5, 6] -> 69
70 -> [1, 2, 2, 6, 6] -> 70
71 -> [1, 2, 3, 3, 3] -> 71
72 -> [1, 2, 3, 3, 4] -> 72
73 -> [1, 2, 3, 3, 5] -> 73
74 -> [1, 2, 3, 3, 6] -> 74
75 -> [1, 2, 3, 4, 4] -> 75
76 -> [1, 2, 3, 4, 5] -> 76
77 -> [1, 2, 3, 4, 6] -> 77
78 -> [1, 2, 3, 5, 5] -> 78
79 -> [1, 2, 3, 5, 6] -> 79
80 -> [1, 2, 3, 6, 6] -> 80
81 -> [1, 2, 4, 4, 4] -> 81
82 -> [1, 2, 4, 4, 5] -> 82
83 -> [1, 2, 4, 4, 6] -> 83
84 -> [1, 2, 4, 5, 5] -> 84
85 -> [1, 2, 4, 5, 6] -> 85
86 -> [1, 2, 4, 6, 6] -> 86
87 -> [1, 2, 5, 5, 5] -> 87
88 -> [1, 2, 5, 5, 6] -> 88
89 -> [1, 2, 5, 6, 6] -> 89
90 -> [1, 2, 6, 6, 6] -> 90
91 -> [1, 3, 3, 3, 3] -> 91
92 -> [1, 3, 3, 3, 4] -> 92
93 -> [1, 3, 3, 3, 5] -> 93
94 -> [1, 3, 3, 3, 6] -> 94
95 -> [1, 3, 3, 4, 4] -> 95
96 -> [1, 3, 3, 4, 5] -> 96
97 -> [1, 3, 3, 4, 6] -> 97
98 -> [1, 3, 3, 5, 5] -> 98
99 -> [1, 3, 3, 5, 6] -> 99
100 -> [1, 3, 3, 6, 6] -> 100
101 -> [1, 3, 4, 4, 4] -> 101
102 -> [1, 3, 4, 4, 5] -> 102
103 -> [1, 3, 4, 4, 6] -> 103
104 -> [1, 3, 4, 5, 5] -> 104
105 -> [1, 3, 4, 5, 6] -> 105
106 -> [1, 3, 4, 6, 6] -> 106
107 -> [1, 3, 5, 5, 5] -> 107
108 -> [1, 3, 5, 5, 6] -> 108
109 -> [1, 3, 5, 6, 6] -> 109
110 -> [1, 3, 6, 6, 6] -> 110
111 -> [1, 4, 4, 4, 4] -> 111
112 -> [1, 4, 4, 4, 5] -> 112
113 -> [1, 4, 4, 4, 6] -> 113
114 -> [1, 4, 4, 5, 5] -> 114
115 -> [1, 4, 4, 5, 6] -> 115
116 -> [1, 4, 4, 6, 6] -> 116
117 -> [1, 4, 5, 5, 5] -> 117
118 -> [1, 4, 5, 5, 6] -> 118
119 -> [1, 4, 5, 6, 6] -> 119
120 -> [1, 4, 6, 6, 6] -> 120
121 -> [1, 5, 5, 5, 5] -> 121
122 -> [1, 5, 5, 5, 6] -> 122
123 -> [1, 5, 5, 6, 6] -> 123
124 -> [1, 5, 6, 6, 6] -> 124
125 -> [1, 6, 6, 6, 6] -> 125
126 -> [2, 2, 2, 2, 2] -> 126
127 -> [2, 2, 2, 2, 3] -> 127
128 -> [2, 2, 2, 2, 4] -> 128
129 -> [2, 2, 2, 2, 5] -> 129
130 -> [2, 2, 2, 2, 6] -> 130
131 -> [2, 2, 2, 3, 3] -> 131
132 -> [2, 2, 2, 3, 4] -> 132
133 -> [2, 2, 2, 3, 5] -> 133
134 -> [2, 2, 2, 3, 6] -> 134
135 -> [2, 2, 2, 4, 4] -> 135
136 -> [2, 2, 2, 4, 5] -> 136
137 -> [2, 2, 2, 4, 6] -> 137
138 -> [2, 2, 2, 5, 5] -> 138
139 -> [2, 2, 2, 5, 6] -> 139
140 -> [2, 2, 2, 6, 6] -> 140
141 -> [2, 2, 3, 3, 3] -> 141
142 -> [2, 2, 3, 3, 4] -> 142
143 -> [2, 2, 3, 3, 5] -> 143
144 -> [2, 2, 3, 3, 6] -> 144
145 -> [2, 2, 3, 4, 4] -> 145
146 -> [2, 2, 3, 4, 5] -> 146
147 -> [2, 2, 3, 4, 6] -> 147
148 -> [2, 2, 3, 5, 5] -> 148
149 -> [2, 2, 3, 5, 6] -> 149
150 -> [2, 2, 3, 6, 6] -> 150
151 -> [2, 2, 4, 4, 4] -> 151
152 -> [2, 2, 4, 4, 5] -> 152
153 -> [2, 2, 4, 4, 6] -> 153
154 -> [2, 2, 4, 5, 5] -> 154
155 -> [2, 2, 4, 5, 6] -> 155
156 -> [2, 2, 4, 6, 6] -> 156
157 -> [2, 2, 5, 5, 5] -> 157
158 -> [2, 2, 5, 5, 6] -> 158
159 -> [2, 2, 5, 6, 6] -> 159
160 -> [2, 2, 6, 6, 6] -> 160
161 -> [2, 3, 3, 3, 3] -> 161
162 -> [2, 3, 3, 3, 4] -> 162
163 -> [2, 3, 3, 3, 5] -> 163
164 -> [2, 3, 3, 3, 6] -> 164
165 -> [2, 3, 3, 4, 4] -> 165
166 -> [2, 3, 3, 4, 5] -> 166
167 -> [2, 3, 3, 4, 6] -> 167
168 -> [2, 3, 3, 5, 5] -> 168
169 -> [2, 3, 3, 5, 6] -> 169
170 -> [2, 3, 3, 6, 6] -> 170
171 -> [2, 3, 4, 4, 4] -> 171
172 -> [2, 3, 4, 4, 5] -> 172
173 -> [2, 3, 4, 4, 6] -> 173
174 -> [2, 3, 4, 5, 5] -> 174
175 -> [2, 3, 4, 5, 6] -> 175
176 -> [2, 3, 4, 6, 6] -> 176
177 -> [2, 3, 5, 5, 5] -> 177
178 -> [2, 3, 5, 5, 6] -> 178
179 -> [2, 3, 5, 6, 6] -> 179
180 -> [2, 3, 6, 6, 6] -> 180
181 -> [2, 4, 4, 4, 4] -> 181
182 -> [2, 4, 4, 4, 5] -> 182
183 -> [2, 4, 4, 4, 6] -> 183
184 -> [2, 4, 4, 5, 5] -> 184
185 -> [2, 4, 4, 5, 6] -> 185
186 -> [2, 4, 4, 6, 6] -> 186
187 -> [2, 4, 5, 5, 5] -> 187
188 -> [2, 4, 5, 5, 6] -> 188
189 -> [2, 4, 5, 6, 6] -> 189
190 -> [2, 4, 6, 6, 6] -> 190
191 -> [2, 5, 5, 5, 5] -> 191
192 -> [2, 5, 5, 5, 6] -> 192
193 -> [2, 5, 5, 6, 6] -> 193
194 -> [2, 5, 6, 6, 6] -> 194
195 -> [2, 6, 6, 6, 6] -> 195
196 -> [3, 3, 3, 3, 3] -> 196
197 -> [3, 3, 3, 3, 4] -> 197
198 -> [3, 3, 3, 3, 5] -> 198
199 -> [3, 3, 3, 3, 6] -> 199
200 -> [3, 3, 3, 4, 4] -> 200
201 -> [3, 3, 3, 4, 5] -> 201
202 -> [3, 3, 3, 4, 6] -> 202
203 -> [3, 3, 3, 5, 5] -> 203
204 -> [3, 3, 3, 5, 6] -> 204
205 -> [3, 3, 3, 6, 6] -> 205
206 -> [3, 3, 4, 4, 4] -> 206
207 -> [3, 3, 4, 4, 5] -> 207
208 -> [3, 3, 4, 4, 6] -> 208
209 -> [3, 3, 4, 5, 5] -> 209
210 -> [3, 3, 4, 5, 6] -> 210
211 -> [3, 3, 4, 6, 6] -> 211
212 -> [3, 3, 5, 5, 5] -> 212
213 -> [3, 3, 5, 5, 6] -> 213
214 -> [3, 3, 5, 6, 6] -> 214
215 -> [3, 3, 6, 6, 6] -> 215
216 -> [3, 4, 4, 4, 4] -> 216
217 -> [3, 4, 4, 4, 5] -> 217
218 -> [3, 4, 4, 4, 6] -> 218
219 -> [3, 4, 4, 5, 5] -> 219
220 -> [3, 4, 4, 5, 6] -> 220
221 -> [3, 4, 4, 6, 6] -> 221
222 -> [3, 4, 5, 5, 5] -> 222
223 -> [3, 4, 5, 5, 6] -> 223
224 -> [3, 4, 5, 6, 6] -> 224
225 -> [3, 4, 6, 6, 6] -> 225
226 -> [3, 5, 5, 5, 5] -> 226
227 -> [3, 5, 5, 5, 6] -> 227
228 -> [3, 5, 5, 6, 6] -> 228
229 -> [3, 5, 6, 6, 6] -> 229
230 -> [3, 6, 6, 6, 6] -> 230
231 -> [4, 4, 4, 4, 4] -> 231
232 -> [4, 4, 4, 4, 5] -> 232
233 -> [4, 4, 4, 4, 6] -> 233
234 -> [4, 4, 4, 5, 5] -> 234
235 -> [4, 4, 4, 5, 6] -> 235
236 -> [4, 4, 4, 6, 6] -> 236
237 -> [4, 4, 5, 5, 5] -> 237
238 -> [4, 4, 5, 5, 6] -> 238
239 -> [4, 4, 5, 6, 6] -> 239
240 -> [4, 4, 6, 6, 6] -> 240
241 -> [4, 5, 5, 5, 5] -> 241
242 -> [4, 5, 5, 5, 6] -> 242
243 -> [4, 5, 5, 6, 6] -> 243
244 -> [4, 5, 6, 6, 6] -> 244
245 -> [4, 6, 6, 6, 6] -> 245
246 -> [5, 5, 5, 5, 5] -> 246
247 -> [5, 5, 5, 5, 6] -> 247
248 -> [5, 5, 5, 6, 6] -> 248
249 -> [5, 5, 6, 6, 6] -> 249
250 -> [5, 6, 6, 6, 6] -> 250
251 -> [6, 6, 6, 6, 6] -> 251