0:{1,5,6,7}:{(101,1),(107,1)}
1:{3,5,6,7}:{(95,1),(134,1),(266,1),(318,1)}
2:{2,3,6,7}:{(84,1),(99,1),(138,1),(266,1)}
3:{1,2,3,4,5}:{(72,1),(975,1)}
4:{1,2,3,4,7}:{(72,1),(83,1),(604,1)}
5:{1,2,5,6}:{(64,1),(98,1),(112,1),(337,1),(511,1),(543,1)}
6:{1,3}:{(93,1)}
7:{1,4,5,6,7}:{(115,1),(120,1),(255,1),(357,1),(565,1)}
8:{4,5,6,7}:{(107,1),(119,1),(255,1)}
9:{2,6,7}:{(85,1),(95,1)}
10:{2,3,4,7}:{(70,1),(84,1),(131,1),(537,1)}
11:{2,3,4,5}:{(71,1),(130,1),(883,1)}
12:{2,4,7}:{(79,1),(81,1),(109,1),(254,1)}
13:{2,4,5,6}:{(67,1),(108,1),(602,1),(857,1),(863,1)}
14:{1,5,6,7}:{(96,1),(104,1)}
15:{1,2,4,6,7}:{(90,1),(111,1),(254,1),(305,1),(358,1),(550,1),(587,1),(967,1)}
16:{2,4,5,6}:{(56,1),(112,1),(608,1),(856,1),(862,1)}
17:{1,2,5}:{(74,1),(93,1),(113,1),(245,1)}
18:{1,3,5,7}:{(68,1),(92,1),(245,1),(320,1)}
19:{2,3,4,7}:{(71,1),(82,1),(136,1),(538,1)}
20:{2,3,4,5,6}:{(58,1),(137,1),(1007,1),(1267,1),(1271,1),(2374,1)}
21:{2,6,7}:{(81,1),(103,1)}
22:{2,3,4,5,6}:{(61,1),(133,1),(1005,1),(1268,1),(1272,1),(2373,1)}
23:{2,4,5}:{(77,1),(113,1),(523,1)}
24:{1,2,7}:{(74,1),(92,1),(106,1)}
25:{2,3,6,7}:{(82,1),(100,1),(132,1),(265,1)}
26:{3,5,6,7}:{(103,1),(128,1),(265,1),(324,1)}
27:{1,3,4,5,7}:{(76,1),(118,1),(292,1),(517,1),(519,1),(597,1),(873,1),(1230,1),(1338,1),(1346,1),(1746,1)}
28:{2,3,4,5}:{(70,1),(129,1),(882,1)}
29:{2,4,7}:{(77,1),(85,1),(106,1),(253,1)}
30:{1,2,4,6,7}:{(86,1),(110,1),(253,1),(310,1),(356,1),(549,1),(588,1),(966,1)}
31:{5,6,7}:{(100,1)}
32:{3,4,5,6,7}:{(117,1),(139,1),(539,1),(600,1),(1242,1)}
33:{1,3}:{(102,1)}
34:{1,3,4}:{(89,1),(127,1),(252,1)}
35:{1,2,5}:{(69,1),(102,1),(114,1),(246,1)}
36:{1,3,4,6}:{(63,1),(87,1),(126,1),(243,1),(252,1),(307,1),(505,1),(532,1)}
37:{1,3,5,7}:{(75,1),(97,1),(246,1),(319,1)}
38:{1,3,6}:{(59,1),(88,1),(94,1)}
39:{1,2,3,4,5}:{(73,1),(978,1)}
40:{1,2,3,6,7}:{(83,1),(101,1),(348,1)}
41:{1,3,6}:{(66,1),(89,1),(98,1)}
42:{1,3,4,5,7}:{(78,1),(125,1),(301,1),(518,1),(520,1),(605,1),(872,1),(1230,1),(1337,1),(1345,1),(1747,1)}
43:{1,3,4,6}:{(65,1),(91,1),(124,1),(244,1),(251,1),(306,1),(505,1),(531,1)}
44:{1,2,3,4,7}:{(73,1),(80,1),(599,1)}
45:{2,4,5}:{(79,1),(114,1),(524,1)}
46:{1,2,7}:{(69,1),(97,1),(109,1)}
47:{1,2,5,6}:{(62,1),(94,1),(108,1),(329,1),(512,1),(544,1)}
48:{1,4,5,6,7}:{(105,1),(116,1),(256,1),(352,1),(566,1)}
49:{4,5,6,7}:{(104,1),(121,1),(256,1)}
50:{1,2,3,6,7}:{(80,1),(96,1),(346,1)}
51:{3,4,5,6,7}:{(123,1),(135,1),(540,1),(606,1),(1241,1)}
52:{1,2,3,4,5,6}:{(57,1),(1386,1)}
53:{1,2,3,4,5,6}:{(60,1),(1383,1)}
54:{1,3,4}:{(88,1),(122,1),(251,1)}
55:{5,6,7}:{(99,1)}
56:{2,4,5,7}:{(16,1),(23,1),(146,1),(178,1),(681,1)}
57:{1,2,3,4,5,7}:{(3,1),(52,1),(171,1),(1179,1)}
58:{2,3,4,5,7}:{(11,1),(20,1),(160,1),(174,1),(1080,1)}
59:{1,3,7}:{(33,1),(38,1),(142,1)}
60:{1,2,3,4,5,7}:{(39,1),(53,1),(173,1),(1187,1)}
61:{2,3,4,5,7}:{(22,1),(28,1),(161,1),(175,1),(1079,1)}
62:{1,2,5,7}:{(35,1),(47,1),(142,1),(147,1),(176,1),(367,1)}
63:{1,3,4,7}:{(36,1),(54,1),(141,1),(152,1),(363,1),(436,1),(698,1)}
64:{1,2,5,7}:{(5,1),(17,1),(143,1),(146,1),(172,1),(368,1)}
65:{1,3,4,7}:{(34,1),(43,1),(140,1),(153,1),(363,1),(438,1),(697,1)}
66:{1,3,7}:{(6,1),(41,1),(143,1)}
67:{2,4,5,7}:{(13,1),(45,1),(147,1),(180,1),(682,1)}
68:{1,3,6}:{(6,1),(18,1),(145,1),(445,1)}
69:{1,2,6}:{(35,1),(46,1),(144,1),(148,1)}
70:{2,3,4,6}:{(10,1),(28,1),(162,1),(193,1),(712,1)}
71:{2,3,4,6}:{(11,1),(19,1),(163,1),(190,1),(711,1)}
72:{1,2,3,4,6}:{(3,1),(4,1),(183,1),(789,1)}
73:{1,2,3,4,6}:{(39,1),(44,1),(186,1),(796,1)}
74:{1,2,6}:{(17,1),(24,1),(145,1),(149,1)}
75:{1,3,6}:{(33,1),(37,1),(144,1),(454,1)}
76:{1,3,4,6}:{(27,1),(54,1),(155,1),(188,1),(376,1),(791,1),(1068,1),(1428,1),(1543,1)}
77:{2,4,6}:{(23,1),(29,1),(149,1),(189,1),(378,1)}
78:{1,3,4,6}:{(34,1),(42,1),(154,1),(192,1),(375,1),(785,1),(1067,1),(1428,1),(1544,1)}
79:{2,4,6}:{(12,1),(45,1),(148,1),(185,1),(377,1)}
80:{1,2,3,5,7}:{(44,1),(50,1),(186,1),(205,1),(473,1)}
81:{2,5,7}:{(12,1),(21,1),(185,1),(197,1)}
82:{2,3,5,7}:{(19,1),(25,1),(165,1),(190,1),(199,1),(392,1)}
83:{1,2,3,5,7}:{(4,1),(40,1),(183,1),(203,1),(472,1)}
84:{2,3,5,7}:{(2,1),(10,1),(164,1),(193,1),(204,1),(391,1)}
85:{2,5,7}:{(9,1),(29,1),(189,1),(201,1)}
86:{1,2,5,7}:{(24,1),(30,1),(150,1),(184,1),(195,1),(482,1),(726,1)}
87:{1,3,5}:{(33,1),(36,1),(198,1),(669,1),(700,1)}
88:{1,3,5}:{(38,1),(54,1),(196,1)}
89:{1,3,5}:{(34,1),(41,1),(202,1)}
90:{1,2,5,7}:{(15,1),(46,1),(151,1),(182,1),(200,1),(483,1),(725,1)}
91:{1,3,5}:{(6,1),(43,1),(194,1),(669,1),(699,1)}
92:{1,4,7}:{(18,1),(24,1),(145,1),(209,1)}
93:{1,4}:{(6,1),(17,1),(215,1)}
94:{1,4,6}:{(38,1),(47,1),(142,1),(196,1),(213,1)}
95:{4,6,7}:{(1,1),(9,1),(201,1)}
96:{1,4,6,7}:{(14,1),(50,1),(205,1),(207,1)}
97:{1,4,7}:{(37,1),(46,1),(144,1),(208,1)}
98:{1,4,6}:{(5,1),(41,1),(143,1),(202,1),(214,1)}
99:{4,6,7}:{(2,1),(55,1),(204,1)}
100:{4,6,7}:{(25,1),(31,1),(199,1)}
101:{1,4,6,7}:{(0,1),(40,1),(203,1),(216,1)}
102:{1,4}:{(33,1),(35,1),(206,1)}
103:{4,6,7}:{(21,1),(26,1),(197,1)}
104:{3,5,6,7}:{(14,1),(49,1),(207,1)}
105:{3,5,6,7}:{(48,1),(55,1),(210,1),(708,1)}
106:{2,3,7}:{(24,1),(29,1),(149,1),(209,1)}
107:{3,5,6,7}:{(0,1),(8,1),(216,1)}
108:{2,3,5,6}:{(13,1),(47,1),(147,1),(213,1),(476,1),(691,1),(733,1)}
109:{2,3,7}:{(12,1),(46,1),(148,1),(208,1)}
110:{2,3,6,7}:{(9,1),(30,1),(150,1),(211,1),(445,1),(739,1),(744,1)}
111:{2,3,6,7}:{(15,1),(21,1),(151,1),(217,1),(454,1),(740,1),(743,1)}
112:{2,3,5,6}:{(5,1),(16,1),(146,1),(214,1),(471,1),(692,1),(734,1)}
113:{2,3,5}:{(17,1),(23,1),(149,1),(215,1),(382,1)}
114:{2,3,5}:{(35,1),(45,1),(148,1),(206,1),(381,1)}
115:{3,5,6,7}:{(7,1),(31,1),(212,1),(707,1)}
116:{1,2,5,6,7}:{(14,1),(48,1),(158,1),(219,1),(503,1),(772,1)}
117:{2,3,5,6,7}:{(26,1),(32,1),(168,1),(226,1),(412,1),(479,1),(1490,1)}
118:{1,2,3,5,7}:{(18,1),(27,1),(155,1),(218,1),(396,1),(475,1),(1432,1),(1575,1),(1582,1),(1964,1)}
119:{2,5,6,7}:{(8,1),(31,1),(222,1)}
120:{1,2,5,6,7}:{(0,1),(7,1),(159,1),(223,1),(494,1),(771,1)}
121:{2,5,6,7}:{(49,1),(55,1),(227,1)}
122:{1,2,3}:{(6,1),(54,1),(225,1)}
123:{2,3,5,6,7}:{(1,1),(51,1),(169,1),(224,1),(411,1),(469,1),(1489,1)}
124:{1,2,3,6}:{(38,1),(43,1),(153,1),(156,1),(229,1),(458,1),(737,1)}
125:{1,2,3,5,7}:{(37,1),(42,1),(154,1),(228,1),(395,1),(478,1),(1432,1),(1576,1),(1581,1),(1965,1)}
126:{1,2,3,6}:{(36,1),(41,1),(152,1),(157,1),(220,1),(467,1),(738,1)}
127:{1,2,3}:{(33,1),(34,1),(221,1)}
128:{1,5,6,7}:{(26,1),(31,1),(167,1),(483,1)}
129:{1,2,4,5}:{(23,1),(28,1),(162,1),(239,1),(748,1)}
130:{1,2,4,5}:{(11,1),(45,1),(163,1),(241,1),(747,1)}
131:{1,2,4,7}:{(10,1),(29,1),(162,1),(164,1),(235,1),(418,1)}
132:{1,2,6,7}:{(21,1),(25,1),(165,1),(167,1)}
133:{1,2,4,5,6}:{(16,1),(22,1),(161,1),(234,1),(816,1),(1119,1),(1126,1),(2543,1)}
134:{1,5,6,7}:{(1,1),(55,1),(166,1),(482,1)}
135:{1,4,5,6,7}:{(49,1),(51,1),(169,1),(237,1),(419,1),(810,1),(1521,1)}
136:{1,2,4,7}:{(12,1),(19,1),(163,1),(165,1),(232,1),(417,1)}
137:{1,2,4,5,6}:{(13,1),(20,1),(160,1),(240,1),(819,1),(1120,1),(1125,1),(2544,1)}
138:{1,2,6,7}:{(2,1),(9,1),(164,1),(166,1)}
139:{1,4,5,6,7}:{(8,1),(32,1),(168,1),(230,1),(420,1),(817,1),(1522,1)}
140:{1,3,5,7}:{(65,1),(66,1),(89,1),(91,1),(244,1),(250,1),(873,1)}
141:{1,3,5,7}:{(59,1),(63,1),(87,1),(88,1),(243,1),(249,1),(872,1)}
142:{1,4,7}:{(59,1),(62,1),(94,1),(102,1),(261,1)}
143:{1,4,7}:{(64,1),(66,1),(93,1),(98,1),(262,1)}
144:{1,4,6}:{(69,1),(75,1),(97,1),(102,1),(246,1),(263,1)}
145:{1,4,6}:{(68,1),(74,1),(92,1),(93,1),(245,1),(264,1)}
146:{2,3,5,7}:{(56,1),(64,1),(112,1),(113,1),(258,1),(262,1),(525,1)}
147:{2,3,5,7}:{(62,1),(67,1),(108,1),(114,1),(257,1),(261,1),(526,1)}
148:{2,3,6}:{(69,1),(79,1),(109,1),(114,1),(263,1)}
149:{2,3,6}:{(74,1),(77,1),(106,1),(113,1),(264,1)}
150:{2,3,5,7}:{(85,1),(86,1),(106,1),(110,1),(253,1),(259,1),(318,1),(320,1)}
151:{2,3,5,7}:{(81,1),(90,1),(109,1),(111,1),(254,1),(260,1),(319,1),(324,1)}
152:{1,2,3,7}:{(63,1),(66,1),(122,1),(126,1),(271,1),(627,1),(906,1)}
153:{1,2,3,7}:{(59,1),(65,1),(124,1),(127,1),(272,1),(629,1),(907,1)}
154:{1,2,3,6}:{(75,1),(78,1),(125,1),(127,1),(274,1),(636,1),(1626,1),(1763,1)}
155:{1,2,3,6}:{(68,1),(76,1),(118,1),(122,1),(273,1),(639,1),(1626,1),(1762,1)}
156:{1,2,3,5}:{(88,1),(91,1),(122,1),(124,1),(251,1),(329,1),(335,1),(558,1)}
157:{1,2,3,5}:{(87,1),(89,1),(126,1),(127,1),(252,1),(333,1),(337,1),(557,1)}
158:{2,3,5,6,7}:{(104,1),(105,1),(116,1),(121,1),(256,1),(346,1),(347,1),(553,1)}
159:{2,3,5,6,7}:{(107,1),(115,1),(119,1),(120,1),(255,1),(345,1),(348,1),(554,1)}
160:{1,2,4,5,7}:{(58,1),(67,1),(130,1),(137,1),(275,1),(282,1),(920,1)}
161:{1,2,4,5,7}:{(56,1),(61,1),(129,1),(133,1),(276,1),(281,1),(921,1)}
162:{1,2,4,6}:{(70,1),(77,1),(129,1),(131,1),(277,1),(284,1),(569,1)}
163:{1,2,4,6}:{(71,1),(79,1),(130,1),(136,1),(278,1),(283,1),(570,1)}
164:{1,2,5,7}:{(84,1),(85,1),(131,1),(138,1),(277,1),(279,1)}
165:{1,2,5,7}:{(81,1),(82,1),(132,1),(136,1),(278,1),(280,1)}
166:{1,4,6,7}:{(95,1),(99,1),(134,1),(138,1),(266,1),(279,1)}
167:{1,4,6,7}:{(100,1),(103,1),(128,1),(132,1),(265,1),(280,1)}
168:{1,2,5,6,7}:{(117,1),(119,1),(128,1),(139,1),(287,1),(664,1),(1751,1)}
169:{1,2,5,6,7}:{(121,1),(123,1),(134,1),(135,1),(288,1),(667,1),(1750,1)}
170:{1,3,4,6,7}:{(63,1),(76,1),(243,1),(267,1),(292,1),(505,1),(514,1),(517,1),(847,1),(997,1),(1737,1),(1746,1),(2113,1)}
171:{1,2,3,4,6,7}:{(57,1),(72,1),(299,1),(988,1)}
172:{1,2,6,7}:{(64,1),(74,1),(248,1),(258,1),(543,1),(629,1)}
173:{1,2,3,4,6,7}:{(60,1),(73,1),(300,1),(990,1)}
174:{2,3,4,6,7}:{(58,1),(71,1),(275,1),(296,1),(884,1),(1271,1),(1405,1)}
175:{2,3,4,6,7}:{(61,1),(70,1),(276,1),(302,1),(885,1),(1272,1),(1412,1)}
176:{1,2,6,7}:{(62,1),(69,1),(247,1),(257,1),(544,1),(627,1)}
177:{1,3,4,6,7}:{(65,1),(78,1),(244,1),(268,1),(301,1),(505,1),(513,1),(518,1),(847,1),(996,1),(1736,1),(1747,1),(2112,1)}
178:{2,4,6,7}:{(56,1),(77,1),(258,1),(291,1),(521,1),(862,1),(986,1)}
179:{1,3,6,7}:{(59,1),(75,1),(243,1),(247,1),(293,1),(610,1)}
180:{2,4,6,7}:{(67,1),(79,1),(257,1),(297,1),(522,1),(863,1),(992,1)}
181:{1,3,6,7}:{(66,1),(68,1),(244,1),(248,1),(298,1),(611,1)}
182:{1,2,5,6}:{(69,1),(90,1),(246,1),(260,1),(305,1),(655,1),(967,1)}
183:{1,2,3,5,6}:{(72,1),(83,1),(314,1),(637,1)}
184:{1,2,5,6}:{(74,1),(86,1),(245,1),(259,1),(310,1),(653,1),(966,1)}
185:{2,5,6}:{(79,1),(81,1),(313,1)}
186:{1,2,3,5,6}:{(73,1),(80,1),(308,1),(641,1)}
187:{1,3,5,6}:{(68,1),(91,1),(244,1),(245,1),(298,1),(306,1),(511,1),(530,1)}
188:{1,3,5,6}:{(76,1),(88,1),(243,1),(292,1),(303,1),(976,1),(1229,1),(1732,1)}
189:{2,5,6}:{(77,1),(85,1),(309,1)}
190:{2,3,5,6}:{(71,1),(82,1),(278,1),(304,1),(536,1)}
191:{1,3,5,6}:{(75,1),(87,1),(243,1),(246,1),(293,1),(307,1),(512,1),(529,1)}
192:{1,3,5,6}:{(78,1),(89,1),(244,1),(301,1),(311,1),(983,1),(1229,1),(1733,1)}
193:{2,3,5,6}:{(70,1),(84,1),(277,1),(312,1),(535,1)}
194:{1,4,5}:{(91,1),(93,1),(245,1),(251,1),(306,1),(321,1),(335,1)}
195:{1,4,5,7}:{(86,1),(92,1),(245,1),(253,1),(310,1),(320,1),(523,1)}
196:{1,4,5}:{(88,1),(94,1),(251,1),(316,1),(329,1)}
197:{4,5,7}:{(81,1),(103,1),(254,1),(313,1),(324,1)}
198:{1,4,5}:{(87,1),(102,1),(246,1),(252,1),(307,1),(322,1),(333,1)}
199:{4,5,7}:{(82,1),(100,1),(304,1)}
200:{1,4,5,7}:{(90,1),(97,1),(246,1),(254,1),(305,1),(319,1),(524,1)}
201:{4,5,7}:{(85,1),(95,1),(253,1),(309,1),(318,1)}
202:{1,4,5}:{(89,1),(98,1),(252,1),(325,1),(337,1)}
203:{1,4,5,7}:{(83,1),(101,1),(314,1),(317,1)}
204:{4,5,7}:{(84,1),(99,1),(312,1)}
205:{1,4,5,7}:{(80,1),(96,1),(308,1),(323,1)}
206:{3,4}:{(102,1),(114,1)}
207:{3,4,6,7}:{(96,1),(104,1),(256,1),(323,1),(346,1)}
208:{3,4,7}:{(97,1),(109,1),(254,1),(263,1),(319,1)}
209:{3,4,7}:{(92,1),(106,1),(253,1),(264,1),(320,1)}
210:{3,4,6,7}:{(99,1),(105,1),(256,1),(266,1),(315,1),(347,1),(352,1)}
211:{3,4,6,7}:{(95,1),(110,1),(253,1),(266,1),(318,1),(356,1),(534,1),(537,1)}
212:{3,4,6,7}:{(100,1),(115,1),(255,1),(265,1),(326,1),(345,1),(357,1)}
213:{3,4,6}:{(94,1),(108,1),(261,1),(316,1)}
214:{3,4,6}:{(98,1),(112,1),(262,1),(325,1)}
215:{3,4}:{(93,1),(113,1)}
216:{3,4,6,7}:{(101,1),(107,1),(255,1),(317,1),(348,1)}
217:{3,4,6,7}:{(103,1),(111,1),(254,1),(265,1),(324,1),(358,1),(533,1),(538,1)}
218:{1,2,4,7}:{(92,1),(118,1),(273,1),(341,1),(517,1),(629,1),(1625,1),(1738,1)}
219:{1,2,4,6,7}:{(96,1),(116,1),(256,1),(336,1),(346,1)}
220:{1,2,4,6}:{(98,1),(126,1),(252,1),(271,1),(337,1),(344,1),(505,1),(543,1)}
221:{1,2,4}:{(102,1),(127,1),(252,1),(333,1),(343,1)}
222:{2,4,6,7}:{(100,1),(119,1),(255,1),(338,1),(345,1)}
223:{1,2,4,6,7}:{(101,1),(120,1),(255,1),(334,1),(348,1)}
224:{2,4,6,7}:{(95,1),(123,1),(330,1),(1642,1)}
225:{1,2,4}:{(93,1),(122,1),(251,1),(335,1),(349,1)}
226:{2,4,6,7}:{(103,1),(117,1),(332,1),(1643,1)}
227:{2,4,6,7}:{(99,1),(121,1),(256,1),(327,1),(347,1)}
228:{1,2,4,7}:{(97,1),(125,1),(274,1),(340,1),(518,1),(627,1),(1625,1),(1739,1)}
229:{1,2,4,6}:{(94,1),(124,1),(251,1),(272,1),(329,1),(342,1),(505,1),(544,1)}
230:{1,3,5,6,7}:{(107,1),(139,1),(359,1),(1001,1),(1667,1)}
231:{1,2,3,6,7}:{(110,1),(138,1),(266,1),(285,1),(356,1),(656,1),(966,1)}
232:{1,2,3,7}:{(109,1),(136,1),(283,1),(353,1)}
233:{1,3,5,6,7}:{(105,1),(134,1),(266,1),(352,1),(584,1)}
234:{1,2,3,5,6}:{(112,1),(133,1),(281,1),(360,1),(658,1),(930,1),(961,1),(2636,1)}
235:{1,2,3,7}:{(106,1),(131,1),(284,1),(361,1)}
236:{1,3,5,6,7}:{(115,1),(128,1),(265,1),(357,1),(583,1)}
237:{1,3,5,6,7}:{(104,1),(135,1),(351,1),(1006,1),(1666,1)}
238:{1,2,3,6,7}:{(111,1),(132,1),(265,1),(286,1),(358,1),(648,1),(967,1)}
239:{1,2,3,5}:{(113,1),(129,1),(284,1),(354,1),(571,1)}
240:{1,2,3,5,6}:{(108,1),(137,1),(282,1),(362,1),(665,1),(931,1),(960,1),(2635,1)}
241:{1,2,3,5}:{(114,1),(130,1),(283,1),(355,1),(572,1)}
242:{1,2,3,5,7}:{(140,1),(141,1),(152,1),(153,1),(156,1),(157,1),(363,1),(364,1),(397,1),(398,1),(669,1),(673,1)}
243:{1,3,6}:{(141,1),(371,1),(1067,1)}
244:{1,3,6}:{(140,1),(372,1),(1068,1)}
245:{1,5}:{(145,1),(382,1)}
246:{1,5}:{(144,1),(381,1)}
247:{1,4,6,7}:{(142,1),(144,1),(176,1),(179,1),(367,1),(371,1),(388,1),(436,1)}
248:{1,4,6,7}:{(143,1),(145,1),(172,1),(181,1),(368,1),(372,1),(387,1),(438,1)}
249:{1,4,5,7}:{(141,1),(142,1),(196,1),(198,1),(363,1),(367,1),(371,1),(384,1),(397,1),(436,1),(669,1)}
250:{1,4,5,7}:{(140,1),(143,1),(194,1),(202,1),(363,1),(368,1),(372,1),(383,1),(398,1),(438,1),(669,1)}
251:{1,4}:{(156,1),(385,1)}
252:{1,4}:{(157,1),(386,1)}
253:{4,7}:{(150,1),(378,1)}
254:{4,7}:{(151,1),(377,1)}
255:{4,6,7}:{(159,1),(370,1)}
256:{4,6,7}:{(158,1),(369,1)}
257:{2,3,6,7}:{(147,1),(148,1),(176,1),(180,1),(388,1),(733,1),(798,1)}
258:{2,3,6,7}:{(146,1),(149,1),(172,1),(178,1),(387,1),(734,1),(808,1)}
259:{2,3,5,6}:{(149,1),(150,1),(184,1),(189,1),(378,1),(382,1),(445,1),(456,1),(726,1),(739,1)}
260:{2,3,5,6}:{(148,1),(151,1),(182,1),(185,1),(377,1),(381,1),(451,1),(454,1),(725,1),(740,1)}
261:{3,4,7}:{(142,1),(147,1),(206,1),(213,1)}
262:{3,4,7}:{(143,1),(146,1),(214,1),(215,1)}
263:{3,4,6}:{(144,1),(148,1),(206,1),(208,1),(377,1),(381,1),(454,1)}
264:{3,4,6}:{(145,1),(149,1),(209,1),(215,1),(378,1),(382,1),(445,1)}
265:{3,6,7}:{(167,1),(392,1)}
266:{3,6,7}:{(166,1),(391,1)}
267:{1,2,3,6,7}:{(152,1),(155,1),(170,1),(181,1),(364,1),(393,1),(399,1),(716,1),(800,1),(1040,1),(1068,1),(1964,1)}
268:{1,2,3,6,7}:{(153,1),(154,1),(177,1),(179,1),(364,1),(394,1),(400,1),(715,1),(801,1),(1040,1),(1067,1),(1965,1)}
269:{1,2,3,5,6}:{(154,1),(157,1),(191,1),(192,1),(364,1),(375,1),(394,1),(395,1),(465,1),(467,1),(669,1),(700,1),(713,1),(736,1),(738,1),(1039,1),(1067,1)}
270:{1,2,3,5,6}:{(155,1),(156,1),(187,1),(188,1),(364,1),(376,1),(393,1),(396,1),(458,1),(463,1),(669,1),(699,1),(714,1),(735,1),(737,1),(1039,1),(1068,1)}
271:{1,2,4,7}:{(143,1),(152,1),(220,1),(225,1),(363,1),(398,1),(405,1)}
272:{1,2,4,7}:{(142,1),(153,1),(221,1),(229,1),(363,1),(397,1),(406,1)}
273:{1,2,4,6}:{(145,1),(155,1),(218,1),(225,1),(376,1),(396,1),(408,1),(458,1),(1430,1)}
274:{1,2,4,6}:{(144,1),(154,1),(221,1),(228,1),(375,1),(395,1),(407,1),(467,1),(1430,1)}
275:{1,2,4,6,7}:{(160,1),(163,1),(174,1),(180,1),(413,1),(425,1),(749,1),(1125,1),(1217,1)}
276:{1,2,4,6,7}:{(161,1),(162,1),(175,1),(178,1),(414,1),(426,1),(750,1),(1126,1),(1216,1)}
277:{1,2,5,6}:{(162,1),(164,1),(189,1),(193,1),(416,1)}
278:{1,2,5,6}:{(163,1),(165,1),(185,1),(190,1),(415,1)}
279:{1,4,5,7}:{(164,1),(166,1),(201,1),(204,1),(391,1),(416,1),(418,1),(482,1)}
280:{1,4,5,7}:{(165,1),(167,1),(197,1),(199,1),(392,1),(415,1),(417,1),(483,1)}
281:{1,2,3,5,7}:{(146,1),(161,1),(234,1),(239,1),(421,1),(426,1),(752,1)}
282:{1,2,3,5,7}:{(147,1),(160,1),(240,1),(241,1),(422,1),(425,1),(751,1)}
283:{1,2,3,6}:{(148,1),(163,1),(232,1),(241,1),(424,1)}
284:{1,2,3,6}:{(149,1),(162,1),(235,1),(239,1),(423,1)}
285:{1,2,3,5,7}:{(150,1),(164,1),(231,1),(235,1),(391,1),(418,1),(428,1),(482,1),(491,1),(744,1),(777,1)}
286:{1,2,3,5,7}:{(151,1),(165,1),(232,1),(238,1),(392,1),(417,1),(427,1),(483,1),(490,1),(743,1),(778,1)}
287:{1,2,4,6,7}:{(167,1),(168,1),(222,1),(226,1),(412,1),(420,1),(431,1),(494,1),(1565,1)}
288:{1,2,4,6,7}:{(166,1),(169,1),(224,1),(227,1),(411,1),(419,1),(432,1),(503,1),(1566,1)}
289:{1,2,3,5,6,7}:{(158,1),(169,1),(233,1),(237,1),(411,1),(419,1),(499,1),(503,1),(708,1),(772,1),(781,1),(1174,1)}
290:{1,2,3,5,6,7}:{(159,1),(168,1),(230,1),(236,1),(412,1),(420,1),(494,1),(497,1),(707,1),(771,1),(782,1),(1173,1)}
291:{2,5,6,7}:{(178,1),(189,1),(435,1),(1046,1),(1190,1)}
292:{1,3,5,7}:{(170,1),(188,1),(433,1),(669,1),(1036,1),(1185,1),(1925,1)}
293:{1,3,5,7}:{(179,1),(191,1),(367,1),(436,1),(695,1)}
294:{1,2,5,6,7}:{(176,1),(182,1),(367,1),(380,1),(443,1),(713,1),(717,1),(828,1),(1169,1)}
295:{1,2,5,6,7}:{(172,1),(184,1),(368,1),(379,1),(444,1),(714,1),(718,1),(822,1),(1170,1)}
296:{2,3,5,6,7}:{(174,1),(190,1),(413,1),(440,1),(710,1),(1467,1),(1597,1)}
297:{2,5,6,7}:{(180,1),(185,1),(439,1),(1045,1),(1189,1)}
298:{1,3,5,7}:{(181,1),(187,1),(368,1),(438,1),(696,1)}
299:{1,2,3,5,6,7}:{(171,1),(183,1),(437,1),(802,1)}
300:{1,2,3,5,6,7}:{(173,1),(186,1),(441,1),(805,1)}
301:{1,3,5,7}:{(177,1),(192,1),(442,1),(669,1),(1036,1),(1183,1),(1924,1)}
302:{2,3,5,6,7}:{(175,1),(193,1),(414,1),(434,1),(709,1),(1468,1),(1602,1)}
303:{1,4,5,6}:{(188,1),(196,1),(371,1),(376,1),(433,1),(446,1),(463,1),(669,1),(1052,1)}
304:{4,5,6}:{(190,1),(199,1)}
305:{1,4,6}:{(182,1),(200,1),(377,1),(454,1)}
306:{1,4,6}:{(187,1),(194,1),(438,1),(447,1),(458,1)}
307:{1,4,6}:{(191,1),(198,1),(436,1),(449,1),(467,1)}
308:{1,4,5,6}:{(186,1),(205,1),(448,1)}
309:{4,5,6}:{(189,1),(201,1),(378,1),(456,1)}
310:{1,4,6}:{(184,1),(195,1),(378,1),(445,1)}
311:{1,4,5,6}:{(192,1),(202,1),(372,1),(375,1),(442,1),(453,1),(465,1),(669,1),(1051,1)}
312:{4,5,6}:{(193,1),(204,1)}
313:{4,5,6}:{(185,1),(197,1),(377,1),(451,1)}
314:{1,4,5,6}:{(183,1),(203,1),(450,1)}
315:{3,4,5,7}:{(204,1),(210,1),(369,1),(391,1),(455,1),(474,1),(492,1),(689,1),(708,1)}
316:{3,4,5}:{(196,1),(213,1),(385,1),(476,1)}
317:{3,4,5,7}:{(203,1),(216,1),(370,1),(450,1),(472,1)}
318:{3,5,7}:{(201,1),(211,1),(456,1),(482,1)}
319:{3,5,7}:{(200,1),(208,1),(381,1),(454,1)}
320:{3,5,7}:{(195,1),(209,1),(382,1),(445,1)}
321:{3,4,5}:{(194,1),(215,1),(382,1),(385,1),(447,1),(477,1),(683,1),(699,1)}
322:{3,4,5}:{(198,1),(206,1),(381,1),(386,1),(449,1),(480,1),(684,1),(700,1)}
323:{3,4,5,7}:{(205,1),(207,1),(369,1),(448,1),(473,1)}
324:{3,5,7}:{(197,1),(217,1),(451,1),(483,1)}
325:{3,4,5}:{(202,1),(214,1),(386,1),(471,1)}
326:{3,4,5,7}:{(199,1),(212,1),(370,1),(392,1),(452,1),(470,1),(487,1),(690,1),(707,1)}
327:{2,4,5,7}:{(204,1),(227,1),(369,1),(461,1),(474,1)}
328:{1,2,4,5,7}:{(200,1),(228,1),(395,1),(403,1),(460,1),(478,1),(680,1),(684,1),(717,1),(725,1),(778,1),(820,1),(1061,1),(1096,1),(1151,1),(1567,1),(1576,1)}
329:{1,2,5}:{(196,1),(229,1),(476,1),(669,1)}
330:{2,4,5,7}:{(201,1),(224,1),(404,1),(462,1),(469,1),(1453,1)}
331:{1,2,4,5,7}:{(195,1),(218,1),(396,1),(404,1),(457,1),(475,1),(679,1),(683,1),(718,1),(726,1),(777,1),(812,1),(1062,1),(1095,1),(1152,1),(1568,1),(1575,1)}
332:{2,4,5,7}:{(197,1),(226,1),(403,1),(466,1),(479,1),(1454,1)}
333:{1,2,5}:{(198,1),(221,1),(467,1),(480,1)}
334:{1,2,4,5,7}:{(203,1),(223,1),(370,1),(464,1),(472,1),(771,1),(813,1)}
335:{1,2,5}:{(194,1),(225,1),(458,1),(477,1)}
336:{1,2,4,5,7}:{(205,1),(219,1),(369,1),(468,1),(473,1),(772,1),(814,1)}
337:{1,2,5}:{(202,1),(220,1),(471,1),(669,1)}
338:{2,4,5,7}:{(199,1),(222,1),(370,1),(459,1),(470,1)}
339:{2,3,4,6,7}:{(217,1),(226,1),(403,1),(412,1),(479,1),(493,1),(690,1),(740,1),(743,1),(794,1),(1103,1)}
340:{2,3,4,7}:{(208,1),(228,1),(403,1),(407,1),(478,1),(698,1),(798,1),(1061,1),(1465,1)}
341:{2,3,4,7}:{(209,1),(218,1),(404,1),(408,1),(475,1),(697,1),(808,1),(1062,1),(1466,1)}
342:{2,3,4,6}:{(213,1),(229,1),(385,1),(406,1),(476,1),(671,1),(733,1),(737,1),(787,1)}
343:{2,3,4}:{(206,1),(221,1),(386,1),(480,1)}
344:{2,3,4,6}:{(214,1),(220,1),(386,1),(405,1),(471,1),(671,1),(734,1),(738,1),(786,1)}
345:{2,3,6,7}:{(212,1),(222,1),(470,1),(494,1)}
346:{2,3,6,7}:{(207,1),(219,1),(473,1)}
347:{2,3,6,7}:{(210,1),(227,1),(474,1),(503,1)}
348:{2,3,6,7}:{(216,1),(223,1),(472,1)}
349:{2,3,4}:{(215,1),(225,1),(385,1),(477,1)}
350:{2,3,4,6,7}:{(211,1),(224,1),(404,1),(411,1),(469,1),(502,1),(689,1),(739,1),(744,1),(790,1),(1104,1)}
351:{1,3,4,6,7}:{(207,1),(237,1),(419,1),(489,1),(499,1),(1088,1),(1484,1)}
352:{1,4,6,7}:{(210,1),(233,1),(492,1),(503,1)}
353:{1,3,4,7}:{(208,1),(232,1),(417,1),(424,1),(490,1)}
354:{1,3,4}:{(215,1),(239,1)}
355:{1,3,4}:{(206,1),(241,1)}
356:{1,4,6,7}:{(211,1),(231,1),(418,1),(482,1),(760,1)}
357:{1,4,6,7}:{(212,1),(236,1),(487,1),(494,1)}
358:{1,4,6,7}:{(217,1),(238,1),(417,1),(483,1),(759,1)}
359:{1,3,4,6,7}:{(216,1),(230,1),(420,1),(486,1),(497,1),(1087,1),(1483,1)}
360:{1,3,4,6}:{(214,1),(234,1),(421,1),(484,1),(2706,1)}
361:{1,3,4,7}:{(209,1),(235,1),(418,1),(423,1),(491,1)}
362:{1,3,4,6}:{(213,1),(240,1),(422,1),(488,1),(2705,1)}
363:{1,4,7}:{(242,1),(251,1),(252,1),(505,1),(506,1)}
364:{1,2,3,6}:{(242,1),(243,1),(244,1),(505,1),(543,1),(544,1),(851,1)}
365:{1,3,5,6,7}:{(243,1),(292,1),(293,1),(512,1),(514,1),(870,1),(1384,1),(2096,1),(2113,1)}
366:{1,3,5,6,7}:{(244,1),(298,1),(301,1),(511,1),(513,1),(871,1),(1382,1),(2097,1),(2112,1)}
367:{1,5,7}:{(246,1),(247,1),(512,1),(526,1)}
368:{1,5,7}:{(245,1),(248,1),(511,1),(525,1)}
369:{4,5,7}:{(256,1),(510,1),(553,1)}
370:{4,5,7}:{(255,1),(509,1),(554,1)}
371:{1,4,6}:{(243,1),(249,1),(512,1),(527,1),(544,1)}
372:{1,4,6}:{(244,1),(250,1),(511,1),(528,1),(543,1)}
373:{1,4,5,6}:{(246,1),(305,1),(307,1),(512,1),(515,1),(520,1),(524,1),(529,1),(546,1),(854,1),(857,1),(866,1)}
374:{1,4,5,6}:{(245,1),(306,1),(310,1),(511,1),(516,1),(519,1),(523,1),(530,1),(545,1),(855,1),(856,1),(867,1)}
375:{1,4,6}:{(252,1),(269,1),(518,1),(520,1),(532,1),(866,1),(1227,1)}
376:{1,4,6}:{(251,1),(270,1),(517,1),(519,1),(531,1),(867,1),(1227,1)}
377:{4,6}:{(254,1),(260,1),(524,1)}
378:{4,6}:{(253,1),(259,1),(523,1)}
379:{2,3,5,6,7}:{(258,1),(259,1),(291,1),(295,1),(521,1),(525,1),(611,1),(615,1),(891,1),(901,1),(905,1),(910,1)}
380:{2,3,5,6,7}:{(257,1),(260,1),(294,1),(297,1),(522,1),(526,1),(610,1),(613,1),(890,1),(900,1),(904,1),(911,1)}
381:{3,5}:{(246,1),(263,1),(524,1)}
382:{3,5}:{(245,1),(264,1),(523,1)}
383:{3,4,5,7}:{(250,1),(262,1),(321,1),(325,1),(506,1),(525,1),(528,1),(555,1),(612,1),(846,1),(858,1),(873,1)}
384:{3,4,5,7}:{(249,1),(261,1),(316,1),(322,1),(506,1),(526,1),(527,1),(556,1),(620,1),(846,1),(859,1),(872,1)}
385:{3,4}:{(251,1),(558,1)}
386:{3,4}:{(252,1),(557,1)}
387:{3,4,6,7}:{(248,1),(258,1),(262,1),(264,1),(521,1),(525,1),(528,1),(611,1),(612,1)}
388:{3,4,6,7}:{(247,1),(257,1),(261,1),(263,1),(522,1),(526,1),(527,1),(610,1),(620,1)}
389:{3,4,5,7}:{(254,1),(319,1),(324,1),(524,1),(533,1),(538,1),(559,1),(577,1),(883,1)}
390:{3,4,5,7}:{(253,1),(318,1),(320,1),(523,1),(534,1),(537,1),(560,1),(578,1),(882,1)}
391:{3,5,7}:{(266,1),(279,1),(535,1),(537,1)}
392:{3,5,7}:{(265,1),(280,1),(536,1),(538,1)}
393:{1,2,3,5,7}:{(267,1),(270,1),(292,1),(298,1),(517,1),(542,1),(629,1),(632,1),(873,1),(905,1),(907,1),(1234,1)}
394:{1,2,3,5,7}:{(268,1),(269,1),(293,1),(301,1),(518,1),(541,1),(623,1),(627,1),(872,1),(904,1),(906,1),(1234,1)}
395:{1,2,5}:{(246,1),(274,1),(520,1),(552,1),(1233,1)}
396:{1,2,5}:{(245,1),(273,1),(519,1),(551,1),(1233,1)}
397:{1,2,5,7}:{(249,1),(272,1),(329,1),(333,1),(544,1),(556,1),(627,1)}
398:{1,2,5,7}:{(250,1),(271,1),(335,1),(337,1),(543,1),(555,1),(629,1)}
399:{1,2,4,6,7}:{(248,1),(267,1),(271,1),(273,1),(505,1),(517,1),(542,1),(543,1),(561,1),(629,1),(855,1),(1737,1),(1762,1),(1766,1)}
400:{1,2,4,6,7}:{(247,1),(268,1),(272,1),(274,1),(505,1),(518,1),(541,1),(544,1),(562,1),(627,1),(854,1),(1736,1),(1763,1),(1767,1)}
401:{1,2,4,5}:{(252,1),(333,1),(337,1),(520,1),(547,1),(557,1),(607,1),(608,1)}
402:{1,2,4,5}:{(251,1),(329,1),(335,1),(519,1),(548,1),(558,1),(601,1),(602,1)}
403:{2,4,7}:{(254,1),(550,1),(559,1),(1257,1)}
404:{2,4,7}:{(253,1),(549,1),(560,1),(1258,1)}
405:{2,3,4,7}:{(262,1),(271,1),(344,1),(349,1),(506,1),(555,1),(906,1),(987,1)}
406:{2,3,4,7}:{(261,1),(272,1),(342,1),(343,1),(506,1),(556,1),(907,1),(991,1)}
407:{2,3,4,6}:{(263,1),(274,1),(340,1),(343,1),(532,1),(550,1),(552,1),(633,1),(636,1),(866,1)}
408:{2,3,4,6}:{(264,1),(273,1),(341,1),(349,1),(531,1),(549,1),(551,1),(639,1),(643,1),(867,1)}
409:{2,3,4,6,7}:{(256,1),(346,1),(347,1),(540,1),(553,1),(593,1),(598,1),(599,1),(864,1)}
410:{2,3,4,6,7}:{(255,1),(345,1),(348,1),(539,1),(554,1),(594,1),(603,1),(604,1),(865,1)}
411:{2,3,6,7}:{(266,1),(288,1),(540,1),(563,1),(1289,1)}
412:{2,3,6,7}:{(265,1),(287,1),(539,1),(564,1),(1290,1)}
413:{1,2,5,6,7}:{(275,1),(278,1),(296,1),(297,1),(568,1),(1312,1),(1417,1)}
414:{1,2,5,6,7}:{(276,1),(277,1),(291,1),(302,1),(567,1),(1311,1),(1413,1)}
415:{1,4,5,6}:{(278,1),(280,1),(304,1),(313,1),(536,1),(570,1),(655,1)}
416:{1,4,5,6}:{(277,1),(279,1),(309,1),(312,1),(535,1),(569,1),(653,1)}
417:{1,4,7}:{(254,1),(286,1),(538,1),(570,1)}
418:{1,4,7}:{(253,1),(285,1),(537,1),(569,1)}
419:{1,4,6,7}:{(256,1),(289,1),(540,1),(566,1),(928,1),(1321,1)}
420:{1,4,6,7}:{(255,1),(290,1),(539,1),(565,1),(929,1),(1322,1)}
421:{1,3,4,7}:{(262,1),(281,1),(354,1),(360,1)}
422:{1,3,4,7}:{(261,1),(282,1),(355,1),(362,1)}
423:{1,3,4,6}:{(264,1),(284,1),(354,1),(361,1),(569,1),(571,1),(656,1)}
424:{1,3,4,6}:{(263,1),(283,1),(353,1),(355,1),(570,1),(572,1),(648,1)}
425:{1,2,3,6,7}:{(257,1),(275,1),(282,1),(283,1),(579,1),(960,1),(1033,1)}
426:{1,2,3,6,7}:{(258,1),(276,1),(281,1),(284,1),(580,1),(961,1),(1029,1)}
427:{1,2,3,5,6}:{(260,1),(278,1),(283,1),(286,1),(536,1),(570,1),(572,1),(648,1),(655,1),(916,1),(950,1),(967,1)}
428:{1,2,3,5,6}:{(259,1),(277,1),(284,1),(285,1),(535,1),(569,1),(571,1),(653,1),(656,1),(917,1),(951,1),(966,1)}
429:{1,3,4,6,7}:{(265,1),(357,1),(358,1),(538,1),(539,1),(583,1),(596,1),(929,1),(949,1)}
430:{1,3,4,6,7}:{(266,1),(352,1),(356,1),(537,1),(540,1),(584,1),(595,1),(928,1),(948,1)}
431:{1,2,4,5,7}:{(280,1),(287,1),(332,1),(338,1),(564,1),(565,1),(586,1),(587,1),(662,1),(664,1),(929,1)}
432:{1,2,4,5,7}:{(279,1),(288,1),(327,1),(330,1),(563,1),(566,1),(585,1),(588,1),(660,1),(667,1),(928,1)}
433:{1,4,5,7}:{(292,1),(303,1),(514,1),(517,1),(618,1),(632,1),(1251,1)}
434:{4,5,6,7}:{(302,1),(312,1),(1647,1),(1781,1)}
435:{4,5,6,7}:{(291,1),(309,1),(521,1),(615,1),(1249,1),(1251,1)}
436:{1,4,7}:{(293,1),(307,1),(620,1),(627,1)}
437:{1,4,5,6,7}:{(299,1),(314,1),(614,1)}
438:{1,4,7}:{(298,1),(306,1),(612,1),(629,1)}
439:{4,5,6,7}:{(297,1),(313,1),(522,1),(613,1),(1250,1),(1252,1)}
440:{4,5,6,7}:{(296,1),(304,1),(1646,1),(1776,1)}
441:{1,4,5,6,7}:{(300,1),(308,1),(619,1)}
442:{1,4,5,7}:{(301,1),(311,1),(513,1),(518,1),(609,1),(623,1),(1252,1)}
443:{1,4,6,7}:{(294,1),(305,1),(515,1),(522,1),(610,1),(854,1)}
444:{1,4,6,7}:{(295,1),(310,1),(516,1),(521,1),(611,1),(855,1)}
445:{3,6}:{(310,1),(320,1)}
446:{3,4,5,6}:{(303,1),(316,1),(527,1),(531,1),(618,1),(642,1),(846,1),(1227,1),(1229,1),(1250,1)}
447:{3,4,6}:{(306,1),(321,1),(530,1),(612,1),(643,1),(867,1)}
448:{3,4,5,6}:{(308,1),(323,1),(510,1),(641,1)}
449:{3,4,6}:{(307,1),(322,1),(529,1),(620,1),(633,1),(866,1)}
450:{3,4,5,6}:{(314,1),(317,1),(509,1),(637,1)}
451:{3,5,6}:{(313,1),(324,1),(533,1),(655,1)}
452:{3,4,5,6}:{(304,1),(326,1),(509,1),(536,1),(634,1),(645,1),(868,1),(881,1)}
453:{3,4,5,6}:{(311,1),(325,1),(528,1),(532,1),(609,1),(635,1),(846,1),(1227,1),(1229,1),(1249,1)}
454:{3,6}:{(305,1),(319,1)}
455:{3,4,5,6}:{(312,1),(315,1),(510,1),(535,1),(644,1),(650,1),(869,1),(880,1)}
456:{3,5,6}:{(309,1),(318,1),(534,1),(653,1)}
457:{1,2,4,6}:{(310,1),(331,1),(545,1),(549,1),(639,1),(855,1),(867,1),(966,1),(1013,1),(1288,1),(1762,1)}
458:{1,2,6}:{(306,1),(335,1),(629,1),(643,1)}
459:{2,4,5,6}:{(304,1),(338,1),(509,1),(634,1)}
460:{1,2,4,6}:{(305,1),(328,1),(546,1),(550,1),(636,1),(854,1),(866,1),(967,1),(1017,1),(1287,1),(1763,1)}
461:{2,4,5,6}:{(312,1),(327,1),(510,1),(644,1)}
462:{2,4,5,6}:{(309,1),(330,1),(549,1),(638,1)}
463:{1,2,5,6}:{(303,1),(329,1),(544,1),(548,1),(632,1),(642,1),(981,1)}
464:{1,2,4,5,6}:{(314,1),(334,1),(509,1),(637,1),(956,1),(1010,1)}
465:{1,2,5,6}:{(311,1),(337,1),(543,1),(547,1),(623,1),(635,1),(985,1)}
466:{2,4,5,6}:{(313,1),(332,1),(550,1),(640,1)}
467:{1,2,6}:{(307,1),(333,1),(627,1),(633,1)}
468:{1,2,4,5,6}:{(308,1),(336,1),(510,1),(641,1),(957,1),(1020,1)}
469:{2,3,5,7}:{(318,1),(330,1),(350,1),(606,1),(638,1),(667,1),(1284,1)}
470:{2,3,5,7}:{(326,1),(338,1),(345,1),(603,1),(634,1),(662,1)}
471:{2,3,5}:{(325,1),(337,1),(344,1),(608,1),(846,1)}
472:{2,3,5,7}:{(317,1),(334,1),(348,1),(604,1),(637,1)}
473:{2,3,5,7}:{(323,1),(336,1),(346,1),(599,1),(641,1)}
474:{2,3,5,7}:{(315,1),(327,1),(347,1),(598,1),(644,1),(660,1)}
475:{2,3,5,7}:{(320,1),(331,1),(341,1),(551,1),(597,1),(639,1),(873,1),(1305,1),(1707,1)}
476:{2,3,5}:{(316,1),(329,1),(342,1),(602,1),(846,1)}
477:{2,3,5}:{(321,1),(335,1),(349,1),(601,1),(643,1)}
478:{2,3,5,7}:{(319,1),(328,1),(340,1),(552,1),(605,1),(636,1),(872,1),(1306,1),(1706,1)}
479:{2,3,5,7}:{(324,1),(332,1),(339,1),(600,1),(640,1),(664,1),(1283,1)}
480:{2,3,5}:{(322,1),(333,1),(343,1),(607,1),(633,1)}
481:{1,3,4,5}:{(321,1),(354,1),(571,1),(576,1),(651,1),(666,1),(923,1),(938,1)}
482:{1,5,7}:{(318,1),(356,1),(653,1)}
483:{1,5,7}:{(324,1),(358,1),(655,1)}
484:{1,3,4,5}:{(325,1),(360,1),(575,1),(658,1)}
485:{1,3,4,5}:{(322,1),(355,1),(572,1),(575,1),(652,1),(657,1),(922,1),(939,1)}
486:{1,3,4,5,7}:{(317,1),(359,1),(565,1),(647,1),(659,1)}
487:{1,4,5,7}:{(326,1),(357,1),(583,1),(645,1),(662,1),(929,1)}
488:{1,3,4,5}:{(316,1),(362,1),(576,1),(665,1)}
489:{1,3,4,5,7}:{(323,1),(351,1),(566,1),(646,1),(661,1)}
490:{1,3,5,7}:{(319,1),(353,1),(572,1),(577,1),(648,1)}
491:{1,3,5,7}:{(320,1),(361,1),(571,1),(578,1),(656,1)}
492:{1,4,5,7}:{(315,1),(352,1),(584,1),(650,1),(660,1),(928,1)}
493:{1,2,4,6,7}:{(339,1),(358,1),(587,1),(596,1),(664,1),(929,1),(967,1),(1016,1),(1362,1)}
494:{1,2,6,7}:{(345,1),(357,1),(662,1)}
495:{1,2,3,4,6}:{(344,1),(360,1),(575,1),(590,1),(658,1),(852,1),(961,1),(964,1),(1018,1)}
496:{1,2,3,4,6}:{(342,1),(362,1),(576,1),(589,1),(665,1),(852,1),(960,1),(965,1),(1019,1)}
497:{1,2,3,6,7}:{(348,1),(359,1),(594,1),(659,1),(1002,1),(1273,1)}
498:{1,2,3,4}:{(349,1),(354,1),(576,1),(666,1)}
499:{1,2,3,6,7}:{(346,1),(351,1),(593,1),(661,1),(1003,1),(1274,1)}
500:{1,2,3,4,7}:{(340,1),(353,1),(587,1),(591,1),(668,1),(937,1),(1033,1),(1328,1),(1706,1),(1767,1)}
501:{1,2,3,4,7}:{(341,1),(361,1),(588,1),(592,1),(663,1),(936,1),(1029,1),(1327,1),(1707,1),(1766,1)}
502:{1,2,4,6,7}:{(350,1),(356,1),(588,1),(595,1),(667,1),(928,1),(966,1),(1015,1),(1361,1)}
503:{1,2,6,7}:{(347,1),(352,1),(660,1)}
504:{1,2,3,4}:{(343,1),(355,1),(575,1),(657,1)}
505:{1,4,6}:{(363,1),(364,1),(669,1),(671,1)}
506:{3,4,7}:{(363,1),(385,1),(386,1),(671,1),(673,1),(1426,1)}
507:{1,2,3,5,6,7}:{(364,1),(365,1),(366,1),(393,1),(394,1),(669,1),(670,1),(713,1),(714,1),(715,1),(716,1),(1036,1),(1038,1),(1039,1),(1040,1),(1067,1),(1068,1),(1105,1),(1106,1),(1435,1),(1440,1),(1571,1),(1572,1),(1821,1),(1828,1),(1924,1),(1925,1),(2163,1)}
508:{1,2,4,5,7}:{(363,1),(397,1),(398,1),(401,1),(402,1),(669,1),(672,1),(673,1),(679,1),(680,1),(685,1),(686,1),(719,1),(720,1),(1035,1),(1038,1),(1426,1)}
509:{4,5,6}:{(370,1),(729,1)}
510:{4,5,6}:{(369,1),(730,1)}
511:{1,5,6}:{(368,1),(372,1),(669,1),(692,1)}
512:{1,5,6}:{(367,1),(371,1),(669,1),(691,1)}
513:{1,4,6,7}:{(366,1),(372,1),(438,1),(442,1),(694,1),(715,1),(1450,1)}
514:{1,4,6,7}:{(365,1),(371,1),(433,1),(436,1),(693,1),(716,1),(1449,1)}
515:{1,4,5,7}:{(367,1),(373,1),(436,1),(443,1),(682,1),(695,1),(717,1),(1061,1)}
516:{1,4,5,7}:{(368,1),(374,1),(438,1),(444,1),(681,1),(696,1),(718,1),(1062,1)}
517:{1,4,7}:{(376,1),(393,1),(697,1),(1062,1),(1426,1)}
518:{1,4,7}:{(375,1),(394,1),(698,1),(1061,1),(1426,1)}
519:{1,4,5}:{(376,1),(396,1),(669,1),(683,1),(699,1),(1035,1)}
520:{1,4,5}:{(375,1),(395,1),(669,1),(684,1),(700,1),(1035,1)}
521:{4,6,7}:{(378,1),(379,1),(681,1),(1053,1),(1062,1)}
522:{4,6,7}:{(377,1),(380,1),(682,1),(1054,1),(1061,1)}
523:{4,5}:{(378,1),(382,1),(726,1)}
524:{4,5}:{(377,1),(381,1),(725,1)}
525:{3,5,7}:{(368,1),(382,1),(387,1),(681,1),(692,1)}
526:{3,5,7}:{(367,1),(381,1),(388,1),(682,1),(691,1)}
527:{3,4,6}:{(371,1),(384,1),(691,1),(733,1),(1054,1),(1067,1)}
528:{3,4,6}:{(372,1),(383,1),(692,1),(734,1),(1053,1),(1068,1)}
529:{3,5,6}:{(373,1),(381,1),(449,1),(454,1),(695,1),(700,1),(1067,1)}
530:{3,5,6}:{(374,1),(382,1),(445,1),(447,1),(696,1),(699,1),(1068,1)}
531:{3,4,6}:{(376,1),(385,1),(697,1),(699,1),(737,1),(1068,1)}
532:{3,4,6}:{(375,1),(386,1),(698,1),(700,1),(738,1),(1067,1)}
533:{3,4,6}:{(377,1),(389,1),(451,1),(454,1),(740,1),(759,1)}
534:{3,4,6}:{(378,1),(390,1),(445,1),(456,1),(739,1),(760,1)}
535:{3,5,6}:{(391,1),(416,1),(712,1)}
536:{3,5,6}:{(392,1),(415,1),(711,1)}
537:{3,4,7}:{(391,1),(418,1),(712,1),(744,1)}
538:{3,4,7}:{(392,1),(417,1),(711,1),(743,1)}
539:{3,4,6,7}:{(412,1),(420,1),(690,1),(707,1),(1055,1)}
540:{3,4,6,7}:{(411,1),(419,1),(689,1),(708,1),(1056,1)}
541:{1,2,5,7}:{(367,1),(395,1),(400,1),(669,1),(680,1),(713,1),(731,1),(1924,1)}
542:{1,2,5,7}:{(368,1),(396,1),(399,1),(669,1),(679,1),(714,1),(732,1),(1925,1)}
543:{1,2,6}:{(372,1),(398,1),(734,1)}
544:{1,2,6}:{(371,1),(397,1),(733,1)}
545:{1,2,5,6}:{(374,1),(396,1),(457,1),(458,1),(718,1),(726,1),(735,1),(1094,1),(1210,1)}
546:{1,2,5,6}:{(373,1),(395,1),(460,1),(467,1),(717,1),(725,1),(736,1),(1093,1),(1214,1)}
547:{1,2,4,6}:{(375,1),(401,1),(465,1),(467,1),(719,1),(738,1),(786,1),(788,1)}
548:{1,2,4,6}:{(376,1),(402,1),(458,1),(463,1),(720,1),(737,1),(787,1),(793,1)}
549:{2,4,6}:{(378,1),(404,1),(726,1),(739,1)}
550:{2,4,6}:{(377,1),(403,1),(725,1),(740,1)}
551:{2,3,5}:{(382,1),(396,1),(408,1),(683,1),(699,1),(726,1)}
552:{2,3,5}:{(381,1),(395,1),(407,1),(684,1),(700,1),(725,1)}
553:{2,3,5,7}:{(369,1),(409,1),(708,1),(730,1),(772,1)}
554:{2,3,5,7}:{(370,1),(410,1),(707,1),(729,1),(771,1)}
555:{2,3,5,7}:{(383,1),(398,1),(405,1),(471,1),(477,1),(685,1),(734,1),(808,1)}
556:{2,3,5,7}:{(384,1),(397,1),(406,1),(476,1),(480,1),(686,1),(733,1),(798,1)}
557:{2,3,5}:{(386,1),(401,1),(700,1),(738,1)}
558:{2,3,5}:{(385,1),(402,1),(699,1),(737,1)}
559:{2,3,5,7}:{(389,1),(403,1),(725,1),(740,1),(743,1),(778,1),(1114,1)}
560:{2,3,5,7}:{(390,1),(404,1),(726,1),(739,1),(744,1),(777,1),(1113,1)}
561:{2,3,4,6,7}:{(387,1),(399,1),(405,1),(408,1),(671,1),(697,1),(724,1),(732,1),(734,1),(800,1),(808,1),(1040,1),(1053,1),(1060,1),(1062,1),(1068,1),(1426,1),(1430,1),(1463,1),(1502,1),(1506,1)}
562:{2,3,4,6,7}:{(388,1),(400,1),(406,1),(407,1),(671,1),(698,1),(723,1),(731,1),(733,1),(798,1),(801,1),(1040,1),(1054,1),(1059,1),(1061,1),(1067,1),(1426,1),(1430,1),(1464,1),(1501,1),(1505,1)}
563:{2,3,5,7}:{(391,1),(411,1),(432,1),(689,1),(708,1),(742,1),(744,1)}
564:{2,3,5,7}:{(392,1),(412,1),(431,1),(690,1),(707,1),(741,1),(743,1)}
565:{1,4,5,7}:{(370,1),(420,1),(707,1),(745,1),(771,1)}
566:{1,4,5,7}:{(369,1),(419,1),(708,1),(746,1),(772,1)}
567:{1,4,5,6,7}:{(414,1),(416,1),(434,1),(435,1),(709,1),(750,1),(822,1),(1530,1),(1531,1)}
568:{1,4,5,6,7}:{(413,1),(415,1),(439,1),(440,1),(710,1),(749,1),(828,1),(1529,1),(1532,1)}
569:{1,4,6}:{(378,1),(418,1),(428,1),(712,1),(748,1)}
570:{1,4,6}:{(377,1),(417,1),(427,1),(711,1),(747,1)}
571:{1,3,5}:{(382,1),(423,1),(748,1)}
572:{1,3,5}:{(381,1),(424,1),(747,1)}
573:{1,3,4,5,7}:{(384,1),(422,1),(485,1),(488,1),(674,1),(751,1),(753,1),(774,1),(831,1),(1041,1),(1122,1),(1136,1),(2491,1),(2496,1),(2705,1)}
574:{1,3,4,5,7}:{(383,1),(421,1),(481,1),(484,1),(674,1),(752,1),(754,1),(773,1),(823,1),(1041,1),(1121,1),(1135,1),(2492,1),(2495,1),(2706,1)}
575:{1,3,4}:{(386,1),(776,1)}
576:{1,3,4}:{(385,1),(775,1)}
577:{1,4,5,7}:{(389,1),(417,1),(483,1),(490,1),(747,1),(759,1),(778,1)}
578:{1,4,5,7}:{(390,1),(418,1),(482,1),(491,1),(748,1),(760,1),(777,1)}
579:{1,3,4,6,7}:{(388,1),(422,1),(424,1),(425,1),(749,1),(751,1),(753,1),(827,1),(831,1)}
580:{1,3,4,6,7}:{(387,1),(421,1),(423,1),(426,1),(750,1),(752,1),(754,1),(823,1),(824,1)}
581:{1,2,3,5,6,7}:{(380,1),(413,1),(425,1),(427,1),(710,1),(749,1),(751,1),(827,1),(828,1),(1116,1),(1150,1),(1159,1),(1164,1),(1169,1)}
582:{1,2,3,5,6,7}:{(379,1),(414,1),(426,1),(428,1),(709,1),(750,1),(752,1),(822,1),(824,1),(1115,1),(1149,1),(1160,1),(1163,1),(1170,1)}
583:{1,3,5,7}:{(392,1),(429,1),(483,1),(487,1),(707,1),(761,1)}
584:{1,3,5,7}:{(391,1),(430,1),(482,1),(492,1),(708,1),(762,1)}
585:{1,2,4,5,6}:{(416,1),(432,1),(461,1),(462,1),(742,1),(746,1),(767,1),(833,1),(835,1),(1132,1),(1453,1),(1560,1),(1566,1)}
586:{1,2,4,5,6}:{(415,1),(431,1),(459,1),(466,1),(741,1),(745,1),(768,1),(836,1),(838,1),(1131,1),(1454,1),(1559,1),(1565,1)}
587:{1,2,4,7}:{(403,1),(417,1),(743,1),(768,1),(778,1)}
588:{1,2,4,7}:{(404,1),(418,1),(744,1),(767,1),(777,1)}
589:{1,2,3,4,7}:{(406,1),(422,1),(496,1),(504,1),(674,1),(774,1),(1165,1),(1226,1),(2705,1)}
590:{1,2,3,4,7}:{(405,1),(421,1),(495,1),(498,1),(674,1),(773,1),(1166,1),(1221,1),(2706,1)}
591:{1,2,3,4,6}:{(407,1),(424,1),(500,1),(504,1),(758,1),(768,1),(770,1),(842,1),(843,1),(1129,1),(1465,1),(1516,1),(1577,1)}
592:{1,2,3,4,6}:{(408,1),(423,1),(498,1),(501,1),(757,1),(767,1),(769,1),(837,1),(841,1),(1130,1),(1466,1),(1515,1),(1578,1)}
593:{1,2,4,6,7}:{(409,1),(419,1),(499,1),(503,1),(772,1),(811,1),(814,1),(1128,1)}
594:{1,2,4,6,7}:{(410,1),(420,1),(494,1),(497,1),(771,1),(809,1),(813,1),(1127,1)}
595:{1,2,3,6,7}:{(411,1),(430,1),(502,1),(503,1),(744,1),(781,1),(1178,1),(1193,1)}
596:{1,2,3,6,7}:{(412,1),(429,1),(493,1),(494,1),(743,1),(782,1),(1177,1),(1191,1)}
597:{3,4,5,7}:{(475,1),(683,1),(791,1),(812,1),(1062,1),(1082,1),(1185,1),(1482,1)}
598:{2,3,4,7}:{(474,1),(689,1),(795,1),(811,1)}
599:{2,3,4,7}:{(473,1),(796,1),(814,1)}
600:{3,4,5,7}:{(479,1),(690,1),(794,1),(817,1),(1050,1)}
601:{2,4,5}:{(477,1),(683,1),(793,1)}
602:{2,4,5}:{(476,1),(787,1),(1035,1)}
603:{2,3,4,7}:{(470,1),(690,1),(792,1),(809,1)}
604:{2,3,4,7}:{(472,1),(789,1),(813,1)}
605:{3,4,5,7}:{(478,1),(684,1),(785,1),(820,1),(1061,1),(1081,1),(1183,1),(1481,1)}
606:{3,4,5,7}:{(469,1),(689,1),(790,1),(810,1),(1049,1)}
607:{2,4,5}:{(480,1),(684,1),(788,1)}
608:{2,4,5}:{(471,1),(786,1),(1035,1)}
609:{3,4,5,7}:{(442,1),(453,1),(694,1),(698,1),(799,1),(1036,1),(1426,1),(1451,1)}
610:{3,6,7}:{(443,1),(454,1),(695,1),(1067,1)}
611:{3,6,7}:{(444,1),(445,1),(696,1),(1068,1)}
612:{3,4,7}:{(438,1),(447,1),(696,1),(808,1),(1062,1)}
613:{3,5,6,7}:{(439,1),(451,1),(702,1),(828,1),(1183,1),(1459,1)}
614:{3,4,5,6,7}:{(437,1),(450,1),(675,1),(802,1)}
615:{3,5,6,7}:{(435,1),(456,1),(701,1),(822,1),(1185,1),(1460,1)}
616:{3,4,5,6,7}:{(440,1),(452,1),(675,1),(710,1),(797,1),(821,1),(1064,1),(1078,1),(1857,1),(1859,1),(2486,1),(2704,1)}
617:{3,4,5,6,7}:{(434,1),(455,1),(676,1),(709,1),(804,1),(825,1),(1063,1),(1077,1),(1856,1),(1858,1),(2485,1),(2703,1)}
618:{3,4,5,7}:{(433,1),(446,1),(693,1),(697,1),(803,1),(1036,1),(1426,1),(1452,1)}
619:{3,4,5,6,7}:{(441,1),(448,1),(676,1),(805,1)}
620:{3,4,7}:{(436,1),(449,1),(695,1),(798,1),(1061,1)}
621:{1,2,4,5,6,7}:{(437,1),(464,1),(675,1),(802,1),(1157,1),(1219,1)}
622:{2,4,5,6,7}:{(439,1),(466,1),(723,1),(806,1),(1493,1),(1495,1)}
623:{1,2,5,7}:{(442,1),(465,1),(715,1),(719,1),(799,1),(1189,1)}
624:{2,4,5,6,7}:{(434,1),(461,1),(676,1),(804,1),(1884,1),(1988,1),(2703,1)}
625:{1,2,4,5,6,7}:{(441,1),(468,1),(676,1),(805,1),(1158,1),(1215,1)}
626:{1,2,4,6,7}:{(443,1),(460,1),(717,1),(723,1),(801,1),(1061,1),(1169,1),(1224,1),(1567,1)}
627:{1,2,7}:{(436,1),(467,1),(798,1)}
628:{1,2,4,6,7}:{(444,1),(457,1),(718,1),(724,1),(800,1),(1062,1),(1170,1),(1223,1),(1568,1)}
629:{1,2,7}:{(438,1),(458,1),(808,1)}
630:{2,4,5,6,7}:{(435,1),(462,1),(724,1),(807,1),(1494,1),(1496,1)}
631:{2,4,5,6,7}:{(440,1),(459,1),(675,1),(797,1),(1885,1),(1978,1),(2704,1)}
632:{1,2,5,7}:{(433,1),(463,1),(716,1),(720,1),(803,1),(1190,1)}
633:{2,3,6}:{(449,1),(467,1),(480,1),(788,1),(798,1)}
634:{2,3,5,6}:{(452,1),(459,1),(470,1),(792,1),(836,1)}
635:{2,3,5,6}:{(453,1),(465,1),(471,1),(734,1),(738,1),(786,1),(799,1),(1046,1)}
636:{2,3,6}:{(454,1),(460,1),(478,1),(785,1),(1067,1)}
637:{2,3,5,6}:{(450,1),(464,1),(472,1),(789,1)}
638:{2,3,5,6}:{(456,1),(462,1),(469,1),(739,1),(790,1),(833,1)}
639:{2,3,6}:{(445,1),(457,1),(475,1),(791,1),(1068,1)}
640:{2,3,5,6}:{(451,1),(466,1),(479,1),(740,1),(794,1),(838,1)}
641:{2,3,5,6}:{(448,1),(468,1),(473,1),(796,1)}
642:{2,3,5,6}:{(446,1),(463,1),(476,1),(733,1),(737,1),(787,1),(803,1),(1045,1)}
643:{2,3,6}:{(447,1),(458,1),(477,1),(793,1),(808,1)}
644:{2,3,5,6}:{(455,1),(461,1),(474,1),(795,1),(835,1)}
645:{1,4,5,6}:{(452,1),(487,1),(761,1),(836,1),(1131,1)}
646:{1,3,4,5,6}:{(448,1),(489,1),(746,1),(839,1),(1484,1),(1592,1)}
647:{1,3,4,5,6}:{(450,1),(486,1),(745,1),(834,1),(1483,1),(1590,1)}
648:{1,3,6}:{(454,1),(490,1),(759,1)}
649:{1,3,4,5,6}:{(446,1),(488,1),(753,1),(757,1),(826,1),(840,1),(1041,1),(1433,1),(1435,1),(1529,1),(1542,1),(1587,1),(1813,1)}
650:{1,4,5,6}:{(455,1),(492,1),(762,1),(835,1),(1132,1)}
651:{1,3,4,6}:{(447,1),(481,1),(756,1),(823,1),(837,1),(1130,1)}
652:{1,3,4,6}:{(449,1),(485,1),(755,1),(831,1),(843,1),(1129,1)}
653:{1,5,6}:{(456,1),(482,1),(760,1)}
654:{1,3,4,5,6}:{(453,1),(484,1),(754,1),(758,1),(830,1),(844,1),(1041,1),(1433,1),(1435,1),(1530,1),(1541,1),(1589,1),(1813,1)}
655:{1,5,6}:{(451,1),(483,1),(759,1)}
656:{1,3,6}:{(445,1),(491,1),(760,1)}
657:{1,2,3,5}:{(480,1),(485,1),(504,1),(815,1),(843,1)}
658:{1,2,3,5}:{(471,1),(484,1),(495,1),(816,1),(1041,1)}
659:{1,2,3,5,7}:{(472,1),(486,1),(497,1),(771,1),(813,1),(834,1)}
660:{1,2,5,7}:{(474,1),(492,1),(503,1),(811,1),(835,1)}
661:{1,2,3,5,7}:{(473,1),(489,1),(499,1),(772,1),(814,1),(839,1)}
662:{1,2,5,7}:{(470,1),(487,1),(494,1),(809,1),(836,1)}
663:{1,2,3,5,7}:{(475,1),(491,1),(501,1),(769,1),(777,1),(812,1),(841,1),(1135,1),(1575,1)}
664:{1,2,5,7}:{(479,1),(483,1),(493,1),(817,1),(838,1),(1559,1)}
665:{1,2,3,5}:{(476,1),(488,1),(496,1),(819,1),(1041,1)}
666:{1,2,3,5}:{(477,1),(481,1),(498,1),(818,1),(837,1)}
667:{1,2,5,7}:{(469,1),(482,1),(502,1),(810,1),(833,1),(1560,1)}
668:{1,2,3,5,7}:{(478,1),(490,1),(500,1),(770,1),(778,1),(820,1),(842,1),(1136,1),(1576,1)}
669:{1,5}:{(505,1),(846,1)}
670:{1,4,6,7}:{(505,1),(507,1),(517,1),(518,1),(845,1),(847,1),(854,1),(855,1),(1227,1),(1255,1),(1256,1),(1629,1),(1631,1)}
671:{3,4,6}:{(505,1),(506,1),(846,1),(851,1),(1227,1)}
672:{1,2,4,6}:{(505,1),(508,1),(543,1),(544,1),(849,1),(851,1),(854,1),(855,1),(862,1),(863,1),(1227,1)}
673:{2,3,5,7}:{(506,1),(508,1),(557,1),(558,1),(846,1),(851,1),(872,1),(873,1),(906,1),(907,1)}
674:{1,3,4,7}:{(506,1),(575,1),(576,1),(852,1),(853,1),(1629,1)}
675:{4,5,6,7}:{(509,1),(899,1)}
676:{4,5,6,7}:{(510,1),(898,1)}
677:{1,4,5,6,7}:{(512,1),(514,1),(515,1),(845,1),(854,1),(857,1),(870,1),(886,1),(1256,1),(1641,1),(2000,1),(2096,1)}
678:{1,4,5,6,7}:{(511,1),(513,1),(516,1),(845,1),(855,1),(856,1),(871,1),(887,1),(1255,1),(1640,1),(2000,1),(2097,1)}
679:{1,4,5,7}:{(517,1),(519,1),(542,1),(855,1),(858,1),(873,1)}
680:{1,4,5,7}:{(518,1),(520,1),(541,1),(854,1),(859,1),(872,1)}
681:{4,5,7}:{(521,1),(523,1),(525,1),(856,1),(891,1)}
682:{4,5,7}:{(522,1),(524,1),(526,1),(857,1),(890,1)}
683:{4,5}:{(551,1),(867,1)}
684:{4,5}:{(552,1),(866,1)}
685:{2,4,5,7}:{(555,1),(601,1),(608,1),(858,1),(862,1),(986,1),(987,1),(1246,1)}
686:{2,4,5,7}:{(556,1),(602,1),(607,1),(859,1),(863,1),(991,1),(992,1),(1245,1)}
687:{2,3,4,5,7}:{(554,1),(603,1),(604,1),(861,1),(865,1),(926,1),(975,1),(984,1)}
688:{2,3,4,5,7}:{(553,1),(598,1),(599,1),(860,1),(864,1),(927,1),(978,1),(982,1)}
689:{3,4,7}:{(563,1),(869,1),(928,1)}
690:{3,4,7}:{(564,1),(868,1),(929,1)}
691:{3,5,6}:{(512,1),(526,1),(527,1),(846,1),(857,1)}
692:{3,5,6}:{(511,1),(525,1),(528,1),(846,1),(856,1)}
693:{3,4,6,7}:{(514,1),(527,1),(618,1),(620,1),(870,1),(903,1),(1256,1)}
694:{3,4,6,7}:{(513,1),(528,1),(609,1),(612,1),(871,1),(902,1),(1255,1)}
695:{3,5,7}:{(515,1),(529,1),(610,1),(620,1)}
696:{3,5,7}:{(516,1),(530,1),(611,1),(612,1)}
697:{3,4,7}:{(517,1),(531,1),(873,1),(907,1)}
698:{3,4,7}:{(518,1),(532,1),(872,1),(906,1)}
699:{3,5}:{(519,1),(531,1)}
700:{3,5}:{(520,1),(532,1)}
701:{3,4,6,7}:{(521,1),(534,1),(611,1),(615,1),(875,1),(910,1),(940,1),(1264,1)}
702:{3,4,6,7}:{(522,1),(533,1),(610,1),(613,1),(874,1),(911,1),(941,1),(1263,1)}
703:{3,4,5,6}:{(524,1),(529,1),(533,1),(857,1),(866,1),(874,1),(877,1),(883,1),(913,1),(943,1),(983,1),(1263,1),(1276,1)}
704:{3,4,5,6}:{(523,1),(530,1),(534,1),(856,1),(867,1),(875,1),(876,1),(882,1),(912,1),(942,1),(976,1),(1264,1),(1275,1)}
705:{2,3,4,5}:{(557,1),(607,1),(608,1),(877,1),(878,1),(944,1)}
706:{2,3,4,5}:{(558,1),(601,1),(602,1),(876,1),(879,1),(945,1)}
707:{3,5,7}:{(539,1),(565,1),(881,1)}
708:{3,5,7}:{(540,1),(566,1),(880,1)}
709:{3,5,6,7}:{(535,1),(567,1),(885,1),(1674,1),(1676,1)}
710:{3,5,6,7}:{(536,1),(568,1),(884,1),(1675,1),(1677,1)}
711:{3,4,6}:{(536,1),(538,1),(570,1),(883,1),(916,1)}
712:{3,4,6}:{(535,1),(537,1),(569,1),(882,1),(917,1)}
713:{1,2,5,6}:{(512,1),(541,1),(544,1),(854,1),(900,1),(1733,1),(1763,1)}
714:{1,2,5,6}:{(511,1),(542,1),(543,1),(855,1),(901,1),(1732,1),(1762,1)}
715:{1,2,6,7}:{(513,1),(543,1),(623,1),(629,1),(902,1),(1380,1)}
716:{1,2,6,7}:{(514,1),(544,1),(627,1),(632,1),(903,1),(1385,1)}
717:{1,2,5,7}:{(515,1),(546,1),(626,1),(627,1),(890,1),(904,1),(1424,1)}
718:{1,2,5,7}:{(516,1),(545,1),(628,1),(629,1),(891,1),(905,1),(1414,1)}
719:{1,2,4,7}:{(518,1),(547,1),(623,1),(627,1),(906,1),(987,1),(992,1)}
720:{1,2,4,7}:{(517,1),(548,1),(629,1),(632,1),(907,1),(986,1),(991,1)}
721:{1,2,4,5,6}:{(519,1),(545,1),(548,1),(849,1),(855,1),(867,1),(889,1),(892,1),(909,1),(979,1),(981,1),(1227,1),(1233,1),(1249,1),(1288,1),(1318,1),(1331,1),(1341,1),(1359,1),(1370,1),(1628,1),(1635,1),(1732,1),(1762,1)}
722:{1,2,4,5,6}:{(520,1),(546,1),(547,1),(849,1),(854,1),(866,1),(888,1),(893,1),(908,1),(974,1),(985,1),(1227,1),(1233,1),(1250,1),(1287,1),(1317,1),(1332,1),(1342,1),(1360,1),(1369,1),(1628,1),(1635,1),(1733,1),(1763,1)}
723:{2,4,6,7}:{(522,1),(550,1),(890,1),(911,1),(1287,1),(1291,1)}
724:{2,4,6,7}:{(521,1),(549,1),(891,1),(910,1),(1288,1),(1292,1)}
725:{2,5}:{(524,1),(550,1)}
726:{2,5}:{(523,1),(549,1)}
727:{2,3,4,5,7}:{(559,1),(600,1),(605,1),(893,1),(894,1),(897,1),(954,1),(1257,1),(1282,1),(1283,1),(1291,1),(1300,1),(1306,1),(1644,1),(1664,1),(1706,1),(2030,1),(2034,1),(2044,1),(2047,1),(2055,1)}
728:{2,3,4,5,7}:{(560,1),(597,1),(606,1),(892,1),(895,1),(896,1),(955,1),(1258,1),(1281,1),(1284,1),(1292,1),(1299,1),(1305,1),(1645,1),(1665,1),(1707,1),(2031,1),(2035,1),(2045,1),(2046,1),(2054,1)}
729:{2,3,5,6}:{(509,1),(554,1),(865,1),(881,1),(956,1)}
730:{2,3,5,6}:{(510,1),(553,1),(864,1),(880,1),(957,1)}
731:{2,3,5,7}:{(526,1),(541,1),(552,1),(562,1),(846,1),(859,1),(872,1),(890,1),(900,1),(1233,1),(1245,1),(1657,1)}
732:{2,3,5,7}:{(525,1),(542,1),(551,1),(561,1),(846,1),(858,1),(873,1),(891,1),(901,1),(1233,1),(1246,1),(1656,1)}
733:{2,3,6}:{(527,1),(544,1),(556,1),(863,1)}
734:{2,3,6}:{(528,1),(543,1),(555,1),(862,1)}
735:{2,3,5,6}:{(530,1),(545,1),(551,1),(639,1),(643,1),(867,1),(905,1),(976,1),(981,1)}
736:{2,3,5,6}:{(529,1),(546,1),(552,1),(633,1),(636,1),(866,1),(904,1),(983,1),(985,1)}
737:{2,3,6}:{(531,1),(548,1),(558,1),(907,1)}
738:{2,3,6}:{(532,1),(547,1),(557,1),(906,1)}
739:{2,3,6}:{(534,1),(549,1),(560,1),(966,1)}
740:{2,3,6}:{(533,1),(550,1),(559,1),(967,1)}
741:{2,3,5,6}:{(536,1),(564,1),(586,1),(868,1),(881,1),(916,1),(1283,1),(1290,1)}
742:{2,3,5,6}:{(535,1),(563,1),(585,1),(869,1),(880,1),(917,1),(1284,1),(1289,1)}
743:{2,3,7}:{(538,1),(587,1),(916,1)}
744:{2,3,7}:{(537,1),(588,1),(917,1)}
745:{1,4,5,6}:{(509,1),(565,1),(881,1),(956,1),(1322,1)}
746:{1,4,5,6}:{(510,1),(566,1),(880,1),(957,1),(1321,1)}
747:{1,4,5}:{(524,1),(570,1),(572,1),(883,1),(950,1)}
748:{1,4,5}:{(523,1),(569,1),(571,1),(882,1),(951,1)}
749:{1,4,6,7}:{(522,1),(570,1),(581,1),(884,1),(920,1),(1319,1),(1328,1)}
750:{1,4,6,7}:{(521,1),(569,1),(582,1),(885,1),(921,1),(1320,1),(1327,1)}
751:{1,3,5,7}:{(526,1),(572,1),(579,1),(920,1),(931,1)}
752:{1,3,5,7}:{(525,1),(571,1),(580,1),(921,1),(930,1)}
753:{1,3,4,6}:{(527,1),(573,1),(931,1),(960,1),(1319,1),(1334,1)}
754:{1,3,4,6}:{(528,1),(574,1),(930,1),(961,1),(1320,1),(1333,1)}
755:{1,3,5,6}:{(529,1),(572,1),(648,1),(652,1),(934,1),(939,1),(943,1),(1334,1)}
756:{1,3,5,6}:{(530,1),(571,1),(651,1),(656,1),(935,1),(938,1),(942,1),(1333,1)}
757:{1,3,4,6}:{(531,1),(576,1),(936,1),(938,1),(965,1),(1333,1),(1341,1)}
758:{1,3,4,6}:{(532,1),(575,1),(937,1),(939,1),(964,1),(1334,1),(1342,1)}
759:{1,4,6}:{(533,1),(577,1),(648,1),(655,1),(967,1)}
760:{1,4,6}:{(534,1),(578,1),(653,1),(656,1),(966,1)}
761:{1,3,5,6}:{(536,1),(583,1),(645,1),(655,1),(881,1),(949,1)}
762:{1,3,5,6}:{(535,1),(584,1),(650,1),(653,1),(880,1),(948,1)}
763:{1,3,4,5,7}:{(537,1),(578,1),(584,1),(860,1),(882,1),(928,1),(948,1),(973,1),(1006,1),(1315,1)}
764:{1,3,4,5,7}:{(538,1),(577,1),(583,1),(861,1),(883,1),(929,1),(949,1),(972,1),(1001,1),(1316,1)}
765:{1,2,4,5,6,7}:{(567,1),(585,1),(624,1),(630,1),(915,1),(919,1),(953,1),(1027,1),(1032,1),(1329,1),(1645,1),(1753,1),(1755,1),(1756,1),(1759,1),(2089,1),(2338,1)}
766:{1,2,4,5,6,7}:{(568,1),(586,1),(622,1),(631,1),(914,1),(918,1),(952,1),(1022,1),(1026,1),(1330,1),(1644,1),(1752,1),(1754,1),(1757,1),(1758,1),(2088,1),(2337,1)}
767:{1,2,4,6}:{(549,1),(569,1),(588,1),(917,1),(951,1),(966,1),(1258,1)}
768:{1,2,4,6}:{(550,1),(570,1),(587,1),(916,1),(950,1),(967,1),(1257,1)}
769:{1,2,3,5}:{(551,1),(571,1),(592,1),(923,1),(938,1),(951,1),(1305,1),(1370,1)}
770:{1,2,3,5}:{(552,1),(572,1),(591,1),(922,1),(939,1),(950,1),(1306,1),(1369,1)}
771:{1,2,5,7}:{(554,1),(565,1),(594,1),(956,1)}
772:{1,2,5,7}:{(553,1),(566,1),(593,1),(957,1)}
773:{1,2,3,5,7}:{(555,1),(574,1),(590,1),(658,1),(666,1),(925,1),(961,1),(1029,1),(2636,1),(2638,1)}
774:{1,2,3,5,7}:{(556,1),(573,1),(589,1),(657,1),(665,1),(924,1),(960,1),(1033,1),(2635,1),(2637,1)}
775:{1,2,3,5}:{(558,1),(576,1),(938,1),(945,1),(965,1)}
776:{1,2,3,5}:{(557,1),(575,1),(939,1),(944,1),(964,1)}
777:{1,2,5,7}:{(560,1),(578,1),(588,1),(951,1),(966,1)}
778:{1,2,5,7}:{(559,1),(577,1),(587,1),(950,1),(967,1)}
779:{1,2,3,4,6,7}:{(562,1),(579,1),(589,1),(591,1),(852,1),(937,1),(952,1),(959,1),(960,1),(1025,1),(1033,1),(1240,1),(1319,1),(1325,1),(1328,1),(1334,1),(1629,1),(1635,1),(1664,1),(1679,1),(1704,1),(1706,1),(1736,1),(1763,1),(1767,1),(1999,1),(2104,1),(2134,1),(2364,1),(2399,1),(2637,1)}
780:{1,2,3,4,6,7}:{(561,1),(580,1),(590,1),(592,1),(852,1),(936,1),(953,1),(958,1),(961,1),(1029,1),(1030,1),(1240,1),(1320,1),(1326,1),(1327,1),(1333,1),(1629,1),(1635,1),(1665,1),(1678,1),(1705,1),(1707,1),(1737,1),(1762,1),(1766,1),(1999,1),(2105,1),(2135,1),(2363,1),(2400,1),(2638,1)}
781:{1,2,3,5,7}:{(563,1),(584,1),(595,1),(660,1),(667,1),(928,1),(970,1),(1003,1),(1006,1)}
782:{1,2,3,5,7}:{(564,1),(583,1),(596,1),(662,1),(664,1),(929,1),(971,1),(1001,1),(1002,1)}
783:{1,2,3,4,6,7}:{(540,1),(593,1),(595,1),(896,1),(928,1),(969,1),(1003,1),(1009,1),(1274,1),(1278,1),(1289,1),(1321,1),(1361,1),(1681,1),(1759,1)}
784:{1,2,3,4,6,7}:{(539,1),(594,1),(596,1),(897,1),(929,1),(968,1),(999,1),(1002,1),(1273,1),(1277,1),(1290,1),(1322,1),(1362,1),(1680,1),(1758,1)}
785:{3,4,6}:{(605,1),(636,1),(866,1),(983,1),(1017,1)}
786:{2,4,6}:{(608,1),(635,1),(987,1),(1227,1)}
787:{2,4,6}:{(602,1),(642,1),(991,1),(1227,1)}
788:{2,4,6}:{(607,1),(633,1),(866,1),(985,1),(992,1)}
789:{2,3,4,6}:{(604,1),(637,1),(975,1),(1010,1)}
790:{3,4,6}:{(606,1),(638,1),(1015,1)}
791:{3,4,6}:{(597,1),(639,1),(867,1),(976,1),(1013,1)}
792:{2,3,4,6}:{(603,1),(634,1),(868,1),(984,1),(1014,1)}
793:{2,4,6}:{(601,1),(643,1),(867,1),(981,1),(986,1)}
794:{3,4,6}:{(600,1),(640,1),(1016,1)}
795:{2,3,4,6}:{(598,1),(644,1),(869,1),(982,1),(1021,1)}
796:{2,3,4,6}:{(599,1),(641,1),(978,1),(1020,1)}
797:{2,3,5,6,7}:{(616,1),(631,1),(634,1),(993,1),(1026,1),(2073,1),(2075,1),(2630,1)}
798:{2,3,7}:{(620,1),(627,1),(633,1),(992,1)}
799:{2,3,5,7}:{(609,1),(623,1),(635,1),(902,1),(906,1),(987,1),(1246,1)}
800:{2,3,6,7}:{(611,1),(628,1),(639,1),(905,1),(997,1),(1385,1),(1707,1)}
801:{2,3,6,7}:{(610,1),(626,1),(636,1),(904,1),(996,1),(1380,1),(1706,1)}
802:{2,3,5,6,7}:{(614,1),(621,1),(637,1),(988,1)}
803:{2,3,5,7}:{(618,1),(632,1),(642,1),(903,1),(907,1),(991,1),(1245,1)}
804:{2,3,5,6,7}:{(617,1),(624,1),(644,1),(994,1),(1027,1),(2072,1),(2074,1),(2629,1)}
805:{2,3,5,6,7}:{(619,1),(625,1),(641,1),(990,1)}
806:{2,3,5,6,7}:{(613,1),(622,1),(640,1),(911,1),(995,1),(1022,1),(1282,1),(1693,1)}
807:{2,3,5,6,7}:{(615,1),(630,1),(638,1),(910,1),(989,1),(1032,1),(1281,1),(1692,1)}
808:{2,3,7}:{(612,1),(629,1),(643,1),(986,1)}
809:{1,2,4,7}:{(603,1),(662,1),(929,1),(1002,1),(1014,1)}
810:{1,4,5,7}:{(606,1),(667,1),(928,1),(1006,1),(1015,1),(1315,1)}
811:{1,2,4,7}:{(598,1),(660,1),(928,1),(1003,1),(1021,1)}
812:{1,4,5,7}:{(597,1),(663,1),(923,1),(1013,1),(1327,1),(1414,1)}
813:{1,2,4,7}:{(604,1),(659,1),(1010,1)}
814:{1,2,4,7}:{(599,1),(661,1),(1020,1)}
815:{1,2,4,5}:{(607,1),(657,1),(922,1),(1004,1),(1011,1)}
816:{1,2,4,5}:{(608,1),(658,1),(1005,1),(1018,1),(1235,1)}
817:{1,4,5,7}:{(600,1),(664,1),(929,1),(1001,1),(1016,1),(1316,1)}
818:{1,2,4,5}:{(601,1),(666,1),(923,1),(1000,1),(1012,1)}
819:{1,2,4,5}:{(602,1),(665,1),(1007,1),(1019,1),(1235,1)}
820:{1,4,5,7}:{(605,1),(668,1),(922,1),(1017,1),(1328,1),(1424,1)}
821:{1,4,5,6,7}:{(616,1),(645,1),(946,1),(1026,1),(1330,1),(1775,1),(2102,1),(2337,1)}
822:{1,5,6,7}:{(615,1),(653,1),(940,1),(1414,1),(1732,1)}
823:{1,3,4,7}:{(612,1),(651,1),(935,1),(1029,1),(1327,1)}
824:{1,3,6,7}:{(611,1),(656,1),(935,1),(940,1),(1333,1)}
825:{1,4,5,6,7}:{(617,1),(650,1),(947,1),(1027,1),(1329,1),(1783,1),(2103,1),(2338,1)}
826:{1,3,4,5,7}:{(618,1),(649,1),(933,1),(936,1),(1028,1),(1236,1),(1629,1),(1723,1),(1734,1),(1784,1),(1993,1)}
827:{1,3,6,7}:{(610,1),(648,1),(934,1),(941,1),(1334,1)}
828:{1,5,6,7}:{(613,1),(655,1),(941,1),(1424,1),(1733,1)}
829:{1,3,4,5,6,7}:{(619,1),(646,1),(919,1),(1023,1),(1681,1),(1774,1)}
830:{1,3,4,5,7}:{(609,1),(654,1),(932,1),(937,1),(1024,1),(1236,1),(1629,1),(1722,1),(1735,1),(1782,1),(1993,1)}
831:{1,3,4,7}:{(620,1),(652,1),(934,1),(1033,1),(1328,1)}
832:{1,3,4,5,6,7}:{(614,1),(647,1),(918,1),(1031,1),(1680,1),(1779,1)}
833:{1,2,5,6}:{(638,1),(653,1),(667,1),(966,1),(1015,1)}
834:{1,2,3,5,6}:{(637,1),(647,1),(659,1),(956,1),(1010,1),(1273,1),(1396,1)}
835:{1,2,5,6}:{(644,1),(650,1),(660,1),(1021,1)}
836:{1,2,5,6}:{(634,1),(645,1),(662,1),(1014,1)}
837:{1,2,3,6}:{(643,1),(651,1),(666,1),(1012,1),(1029,1)}
838:{1,2,5,6}:{(640,1),(655,1),(664,1),(967,1),(1016,1)}
839:{1,2,3,5,6}:{(641,1),(646,1),(661,1),(957,1),(1020,1),(1274,1),(1400,1)}
840:{1,2,3,5,6}:{(642,1),(649,1),(665,1),(960,1),(965,1),(1019,1),(1028,1),(1312,1),(1331,1),(1393,1)}
841:{1,2,3,6}:{(639,1),(656,1),(663,1),(966,1),(1013,1),(1333,1),(1762,1)}
842:{1,2,3,6}:{(636,1),(648,1),(668,1),(967,1),(1017,1),(1334,1),(1763,1)}
843:{1,2,3,6}:{(633,1),(652,1),(657,1),(1011,1),(1033,1)}
844:{1,2,3,5,6}:{(635,1),(654,1),(658,1),(961,1),(964,1),(1018,1),(1024,1),(1311,1),(1332,1),(1391,1)}
845:{1,4,5,7}:{(669,1),(670,1),(1034,1),(1035,1),(1036,1),(1038,1),(1426,1),(1451,1),(1452,1),(1924,1),(1925,1)}
846:{3,5}:{(669,1),(671,1),(1035,1)}
847:{3,4,6,7}:{(670,1),(671,1),(697,1),(698,1),(1036,1),(1040,1),(1067,1),(1068,1),(1426,1),(1428,1),(1814,1),(2163,1)}
848:{2,3,4,5,7}:{(673,1),(685,1),(686,1),(705,1),(706,1),(1035,1),(1037,1),(1043,1),(1071,1),(1072,1),(1073,1),(1074,1),(1426,1),(1427,1),(1429,1),(1432,1),(1814,1)}
849:{1,2,5,6}:{(669,1),(672,1),(1034,1),(1038,1),(1039,1),(1045,1),(1046,1),(1828,1)}
850:{1,2,4,6,7}:{(670,1),(672,1),(715,1),(716,1),(719,1),(720,1),(1038,1),(1040,1),(1059,1),(1060,1),(1426,1),(1430,1),(1827,1),(1828,1)}
851:{2,3,6}:{(671,1),(672,1),(673,1),(1067,1),(1068,1)}
852:{1,3,4,6}:{(671,1),(674,1),(1041,1),(1044,1),(1433,1)}
853:{1,2,3,5,7}:{(673,1),(674,1),(775,1),(776,1),(1041,1),(1043,1),(1044,1),(1135,1),(1136,1),(1165,1),(1166,1)}
854:{1,4,6}:{(680,1),(713,1),(1054,1),(1067,1)}
855:{1,4,6}:{(679,1),(714,1),(1053,1),(1068,1)}
856:{4,5,6}:{(681,1),(692,1),(1035,1),(1053,1),(1094,1)}
857:{4,5,6}:{(682,1),(691,1),(1035,1),(1054,1),(1093,1)}
858:{4,5,7}:{(683,1),(732,1),(1035,1),(1053,1),(1062,1),(1426,1)}
859:{4,5,7}:{(684,1),(731,1),(1035,1),(1054,1),(1061,1),(1426,1)}
860:{3,4,5,7}:{(689,1),(708,1),(1049,1),(1056,1),(1097,1),(1124,1)}
861:{3,4,5,7}:{(690,1),(707,1),(1050,1),(1055,1),(1098,1),(1123,1)}
862:{2,4,6}:{(685,1),(734,1),(1046,1),(1053,1)}
863:{2,4,6}:{(686,1),(733,1),(1045,1),(1054,1)}
864:{2,3,4,6}:{(688,1),(730,1),(1056,1),(1128,1)}
865:{2,3,4,6}:{(687,1),(729,1),(1055,1),(1127,1)}
866:{4,6}:{(684,1),(736,1),(1061,1)}
867:{4,6}:{(683,1),(735,1),(1062,1)}
868:{3,4,6}:{(690,1),(741,1),(1050,1),(1131,1)}
869:{3,4,6}:{(689,1),(742,1),(1049,1),(1132,1)}
870:{3,5,6,7}:{(677,1),(691,1),(693,1),(695,1),(1036,1),(1067,1),(2163,1)}
871:{3,5,6,7}:{(678,1),(692,1),(694,1),(696,1),(1036,1),(1068,1),(2163,1)}
872:{3,5,7}:{(680,1),(698,1),(700,1),(1067,1)}
873:{3,5,7}:{(679,1),(697,1),(699,1),(1068,1)}
874:{3,4,5,7}:{(682,1),(695,1),(702,1),(703,1),(1061,1),(1110,1),(1138,1),(1183,1),(1481,1)}
875:{3,4,5,7}:{(681,1),(696,1),(701,1),(704,1),(1062,1),(1109,1),(1137,1),(1185,1),(1482,1)}
876:{3,4,5}:{(683,1),(699,1),(1035,1),(1076,1),(1111,1),(1140,1)}
877:{3,4,5}:{(684,1),(700,1),(1035,1),(1075,1),(1112,1),(1139,1)}
878:{2,3,4,6}:{(705,1),(738,1),(786,1),(788,1),(1065,1),(1074,1),(1075,1),(1142,1)}
879:{2,3,4,6}:{(706,1),(737,1),(787,1),(793,1),(1066,1),(1073,1),(1076,1),(1141,1)}
880:{3,5,6}:{(708,1),(746,1),(1056,1)}
881:{3,5,6}:{(707,1),(745,1),(1055,1)}
882:{3,4,5}:{(712,1),(748,1),(1113,1)}
883:{3,4,5}:{(711,1),(747,1),(1114,1)}
884:{3,4,6,7}:{(710,1),(711,1),(749,1),(1080,1),(1116,1),(1475,1),(1481,1)}
885:{3,4,6,7}:{(709,1),(712,1),(750,1),(1079,1),(1115,1),(1476,1),(1482,1)}
886:{1,2,5,6,7}:{(677,1),(713,1),(716,1),(717,1),(1038,1),(1092,1),(1093,1),(1106,1),(1446,1),(1615,1),(1924,1)}
887:{1,2,5,6,7}:{(678,1),(714,1),(715,1),(718,1),(1038,1),(1091,1),(1094,1),(1105,1),(1445,1),(1611,1),(1925,1)}
888:{1,2,4,5,7}:{(680,1),(717,1),(719,1),(722,1),(1038,1),(1061,1),(1092,1),(1096,1),(1108,1),(1184,1),(1189,1),(1426,1),(1452,1),(1532,1),(1540,1),(1545,1),(1567,1),(1576,1),(1819,1),(1827,1),(1924,1)}
889:{1,2,4,5,7}:{(679,1),(718,1),(720,1),(721,1),(1038,1),(1062,1),(1091,1),(1095,1),(1107,1),(1181,1),(1190,1),(1426,1),(1451,1),(1531,1),(1539,1),(1546,1),(1568,1),(1575,1),(1819,1),(1827,1),(1925,1)}
890:{2,5,7}:{(682,1),(723,1),(725,1),(1093,1)}
891:{2,5,7}:{(681,1),(724,1),(726,1),(1094,1)}
892:{2,4,5}:{(683,1),(726,1),(1101,1),(1111,1),(1811,1)}
893:{2,4,5}:{(684,1),(725,1),(1102,1),(1112,1),(1811,1)}
894:{2,3,4,6}:{(727,1),(740,1),(785,1),(794,1),(1089,1),(1102,1),(1153,1),(1501,1),(1516,1),(1833,1),(1849,1),(1861,1),(2220,1)}
895:{2,3,4,6}:{(728,1),(739,1),(790,1),(791,1),(1090,1),(1101,1),(1154,1),(1502,1),(1515,1),(1832,1),(1848,1),(1860,1),(2221,1)}
896:{2,3,4,7}:{(689,1),(744,1),(1097,1),(1104,1),(1155,1),(1835,1)}
897:{2,3,4,7}:{(690,1),(743,1),(1098,1),(1103,1),(1156,1),(1834,1)}
898:{2,3,5,6,7}:{(676,1),(730,1),(1057,1),(1077,1),(1158,1)}
899:{2,3,5,6,7}:{(675,1),(729,1),(1058,1),(1078,1),(1157,1)}
900:{2,3,5,6}:{(691,1),(713,1),(731,1),(733,1),(1045,1),(1054,1),(1067,1),(1093,1),(1459,1),(1501,1)}
901:{2,3,5,6}:{(692,1),(714,1),(732,1),(734,1),(1046,1),(1053,1),(1068,1),(1094,1),(1460,1),(1502,1)}
902:{2,3,6,7}:{(694,1),(715,1),(734,1),(799,1),(808,1),(1060,1)}
903:{2,3,6,7}:{(693,1),(716,1),(733,1),(798,1),(803,1),(1059,1)}
904:{2,3,5,7}:{(695,1),(717,1),(736,1),(798,1),(801,1),(1061,1),(1183,1),(1189,1)}
905:{2,3,5,7}:{(696,1),(718,1),(735,1),(800,1),(808,1),(1062,1),(1185,1),(1190,1)}
906:{2,3,7}:{(698,1),(719,1),(738,1)}
907:{2,3,7}:{(697,1),(720,1),(737,1)}
908:{2,3,5,6}:{(700,1),(722,1),(738,1),(1067,1),(1075,1),(1108,1),(1112,1),(1459,1),(1474,1),(1501,1),(1516,1),(1813,1),(1818,1)}
909:{2,3,5,6}:{(699,1),(721,1),(737,1),(1068,1),(1076,1),(1107,1),(1111,1),(1460,1),(1473,1),(1502,1),(1515,1),(1813,1),(1818,1)}
910:{2,3,6,7}:{(701,1),(724,1),(739,1),(1109,1),(1170,1),(1502,1)}
911:{2,3,6,7}:{(702,1),(723,1),(740,1),(1110,1),(1169,1),(1501,1)}
912:{2,3,5,6}:{(704,1),(726,1),(739,1),(1094,1),(1101,1),(1109,1),(1111,1),(1113,1),(1171,1),(1502,1),(1515,1)}
913:{2,3,5,6}:{(703,1),(725,1),(740,1),(1093,1),(1102,1),(1110,1),(1112,1),(1114,1),(1172,1),(1501,1),(1516,1)}
914:{2,3,5,6,7}:{(710,1),(741,1),(766,1),(1064,1),(1078,1),(1116,1),(1492,1),(1497,1),(1905,1),(1906,1),(2220,1),(2486,1)}
915:{2,3,5,6,7}:{(709,1),(742,1),(765,1),(1063,1),(1077,1),(1115,1),(1491,1),(1498,1),(1904,1),(1907,1),(2221,1),(2485,1)}
916:{2,3,6}:{(711,1),(743,1),(768,1),(1114,1)}
917:{2,3,6}:{(712,1),(744,1),(767,1),(1113,1)}
918:{1,4,5,6,7}:{(675,1),(745,1),(1078,1),(1157,1),(1534,1)}
919:{1,4,5,6,7}:{(676,1),(746,1),(1077,1),(1158,1),(1533,1)}
920:{1,4,5,7}:{(682,1),(747,1),(749,1),(751,1),(1080,1),(1120,1),(1150,1)}
921:{1,4,5,7}:{(681,1),(748,1),(750,1),(752,1),(1079,1),(1119,1),(1149,1)}
922:{1,4,5}:{(684,1),(770,1),(1081,1),(1129,1)}
923:{1,4,5}:{(683,1),(769,1),(1082,1),(1130,1)}
924:{1,2,4,5,7}:{(686,1),(774,1),(815,1),(819,1),(1084,1),(1122,1),(1125,1),(1217,1),(1226,1),(1526,1),(2544,1),(2546,1)}
925:{1,2,4,5,7}:{(685,1),(773,1),(816,1),(818,1),(1083,1),(1121,1),(1126,1),(1216,1),(1221,1),(1525,1),(2543,1),(2545,1)}
926:{1,2,4,5,7}:{(687,1),(771,1),(809,1),(813,1),(1086,1),(1123,1),(1127,1),(1204,1),(1212,1)}
927:{1,2,4,5,7}:{(688,1),(772,1),(811,1),(814,1),(1085,1),(1124,1),(1128,1),(1207,1),(1209,1)}
928:{1,4,7}:{(689,1),(781,1),(1132,1)}
929:{1,4,7}:{(690,1),(782,1),(1131,1)}
930:{1,3,5,6}:{(692,1),(752,1),(754,1),(1041,1),(1119,1),(2492,1)}
931:{1,3,5,6}:{(691,1),(751,1),(753,1),(1041,1),(1120,1),(2491,1)}
932:{1,3,4,6,7}:{(694,1),(754,1),(823,1),(830,1),(1134,1),(1162,1),(1536,1),(1929,1),(1969,1),(2163,1),(2495,1)}
933:{1,3,4,6,7}:{(693,1),(753,1),(826,1),(831,1),(1133,1),(1161,1),(1535,1),(1928,1),(1971,1),(2163,1),(2496,1)}
934:{1,3,5,7}:{(695,1),(755,1),(827,1),(831,1),(1138,1)}
935:{1,3,5,7}:{(696,1),(756,1),(823,1),(824,1),(1137,1)}
936:{1,3,4,7}:{(697,1),(757,1),(1135,1),(1165,1),(1546,1)}
937:{1,3,4,7}:{(698,1),(758,1),(1136,1),(1166,1),(1545,1)}
938:{1,3,5}:{(699,1),(757,1),(1140,1)}
939:{1,3,5}:{(700,1),(758,1),(1139,1)}
940:{1,4,6,7}:{(701,1),(760,1),(822,1),(824,1),(1137,1),(1170,1),(1543,1)}
941:{1,4,6,7}:{(702,1),(759,1),(827,1),(828,1),(1138,1),(1169,1),(1544,1)}
942:{1,4,5,6}:{(704,1),(748,1),(756,1),(760,1),(1130,1),(1137,1),(1140,1),(1171,1),(1210,1),(1543,1)}
943:{1,4,5,6}:{(703,1),(747,1),(755,1),(759,1),(1129,1),(1138,1),(1139,1),(1172,1),(1214,1),(1544,1)}
944:{1,2,4,5}:{(705,1),(776,1),(1139,1),(1142,1)}
945:{1,2,4,5}:{(706,1),(775,1),(1140,1),(1141,1)}
946:{1,3,5,6,7}:{(710,1),(761,1),(821,1),(828,1),(1078,1),(1145,1),(1598,1),(1934,1),(2486,1)}
947:{1,3,5,6,7}:{(709,1),(762,1),(822,1),(825,1),(1077,1),(1146,1),(1596,1),(1935,1),(2485,1)}
948:{1,3,4,6}:{(712,1),(760,1),(762,1),(763,1),(1056,1),(1132,1),(1178,1),(1193,1)}
949:{1,3,4,6}:{(711,1),(759,1),(761,1),(764,1),(1055,1),(1131,1),(1177,1),(1191,1)}
950:{1,2,5}:{(725,1),(747,1),(768,1),(1114,1)}
951:{1,2,5}:{(726,1),(748,1),(767,1),(1113,1)}
952:{1,2,4,6,7}:{(723,1),(749,1),(768,1),(1116,1),(1150,1),(1169,1),(1456,1),(1564,1),(1567,1)}
953:{1,2,4,6,7}:{(724,1),(750,1),(767,1),(1115,1),(1149,1),(1170,1),(1455,1),(1563,1),(1568,1)}
954:{1,2,4,5,7}:{(727,1),(778,1),(817,1),(820,1),(1118,1),(1151,1),(1153,1),(1156,1),(1557,1),(1559,1),(1567,1),(1576,1),(1844,1),(1846,1),(1930,1),(2260,1),(2265,1)}
955:{1,2,4,5,7}:{(728,1),(777,1),(810,1),(812,1),(1117,1),(1152,1),(1154,1),(1155,1),(1558,1),(1560,1),(1568,1),(1575,1),(1845,1),(1847,1),(1931,1),(2261,1),(2264,1)}
956:{1,2,5,6}:{(729,1),(745,1),(771,1),(1127,1)}
957:{1,2,5,6}:{(730,1),(746,1),(772,1),(1128,1)}
958:{1,2,3,5,7}:{(732,1),(752,1),(769,1),(780,1),(1041,1),(1121,1),(1135,1),(1149,1),(1160,1),(1439,1),(1511,1),(1525,1),(1575,1),(1874,1),(1925,1),(2264,1),(2492,1)}
959:{1,2,3,5,7}:{(731,1),(751,1),(770,1),(779,1),(1041,1),(1122,1),(1136,1),(1150,1),(1159,1),(1439,1),(1512,1),(1526,1),(1576,1),(1875,1),(1924,1),(2265,1),(2491,1)}
960:{1,2,3,6}:{(733,1),(753,1),(774,1),(1125,1)}
961:{1,2,3,6}:{(734,1),(754,1),(773,1),(1126,1)}
962:{1,2,3,5,6}:{(736,1),(755,1),(770,1),(842,1),(843,1),(1129,1),(1164,1),(1172,1),(1203,1),(1214,1),(1474,1),(1516,1)}
963:{1,2,3,5,6}:{(735,1),(756,1),(769,1),(837,1),(841,1),(1130,1),(1163,1),(1171,1),(1208,1),(1210,1),(1473,1),(1515,1)}
964:{1,2,3,6}:{(738,1),(758,1),(776,1),(1142,1),(1166,1)}
965:{1,2,3,6}:{(737,1),(757,1),(775,1),(1141,1),(1165,1)}
966:{1,2,6}:{(739,1),(760,1),(777,1)}
967:{1,2,6}:{(740,1),(759,1),(778,1)}
968:{1,2,3,5,7}:{(707,1),(771,1),(784,1),(1098,1),(1123,1),(1173,1),(1472,1),(1559,1),(1871,1),(1946,1)}
969:{1,2,3,5,7}:{(708,1),(772,1),(783,1),(1097,1),(1124,1),(1174,1),(1471,1),(1560,1),(1870,1),(1947,1)}
970:{1,2,3,5,6}:{(742,1),(762,1),(781,1),(833,1),(835,1),(1132,1),(1178,1),(1193,1),(1200,1),(1471,1),(1560,1)}
971:{1,2,3,5,6}:{(741,1),(761,1),(782,1),(836,1),(838,1),(1131,1),(1177,1),(1191,1),(1192,1),(1472,1),(1559,1)}
972:{1,2,3,5,7}:{(743,1),(764,1),(778,1),(1098,1),(1114,1),(1156,1),(1177,1),(1559,1)}
973:{1,2,3,5,7}:{(744,1),(763,1),(777,1),(1097,1),(1113,1),(1155,1),(1178,1),(1560,1)}
974:{2,4,5,6}:{(786,1),(1046,1),(1065,1),(1184,1),(1425,1),(1584,1)}
975:{2,3,4,5}:{(789,1),(1212,1)}
976:{3,5,6}:{(791,1),(1052,1),(1185,1),(1210,1)}
977:{3,4,5,6}:{(794,1),(1050,1),(1089,1),(1186,1),(1206,1),(1849,1),(1861,1),(2192,1)}
978:{2,3,4,5}:{(796,1),(1209,1)}
979:{2,4,5,6}:{(787,1),(1045,1),(1066,1),(1181,1),(1425,1),(1591,1)}
980:{3,4,5,6}:{(790,1),(1049,1),(1090,1),(1180,1),(1213,1),(1848,1),(1860,1),(2193,1)}
981:{2,5,6}:{(793,1),(1052,1),(1190,1)}
982:{2,3,4,5}:{(795,1),(1049,1),(1207,1)}
983:{3,5,6}:{(785,1),(1051,1),(1183,1),(1214,1)}
984:{2,3,4,5}:{(792,1),(1050,1),(1204,1)}
985:{2,5,6}:{(788,1),(1051,1),(1189,1)}
986:{2,4,7}:{(793,1),(808,1),(1062,1),(1190,1)}
987:{2,4,7}:{(786,1),(799,1),(1426,1)}
988:{2,3,4,6,7}:{(789,1),(802,1),(1179,1),(1219,1)}
989:{3,4,6,7}:{(790,1),(807,1),(1180,1),(1220,1),(1848,1)}
990:{2,3,4,6,7}:{(796,1),(805,1),(1187,1),(1215,1)}
991:{2,4,7}:{(787,1),(803,1),(1426,1)}
992:{2,4,7}:{(788,1),(798,1),(1061,1),(1189,1)}
993:{2,3,4,6,7}:{(792,1),(797,1),(1064,1),(1182,1),(1222,1),(2241,1),(2248,1),(2516,1)}
994:{2,3,4,6,7}:{(795,1),(804,1),(1063,1),(1188,1),(1218,1),(2240,1),(2249,1),(2515,1)}
995:{3,4,6,7}:{(794,1),(806,1),(1186,1),(1225,1),(1849,1)}
996:{3,4,6,7}:{(785,1),(801,1),(1061,1),(1183,1),(1224,1),(1450,1),(1481,1),(1873,1)}
997:{3,4,6,7}:{(791,1),(800,1),(1062,1),(1185,1),(1223,1),(1449,1),(1482,1),(1872,1)}
998:{1,3,4,5,7}:{(812,1),(1082,1),(1117,1),(1194,1),(1482,1),(1596,1),(1845,1),(1847,1),(2215,1)}
999:{1,2,3,4,7}:{(813,1),(1086,1),(1198,1),(1586,1),(1837,1)}
1000:{2,3,4,5}:{(818,1),(1082,1),(1195,1)}
1001:{1,3,5,7}:{(817,1),(1087,1),(1191,1),(1472,1)}
1002:{1,2,3,7}:{(809,1),(1087,1),(1192,1)}
1003:{1,2,3,7}:{(811,1),(1088,1),(1200,1)}
1004:{2,3,4,5}:{(815,1),(1081,1),(1197,1)}
1005:{2,3,4,5}:{(816,1),(1199,1),(1429,1)}
1006:{1,3,5,7}:{(810,1),(1088,1),(1193,1),(1471,1)}
1007:{2,3,4,5}:{(819,1),(1201,1),(1429,1)}
1008:{1,3,4,5,7}:{(820,1),(1081,1),(1118,1),(1202,1),(1481,1),(1598,1),(1844,1),(1846,1),(2214,1)}
1009:{1,2,3,4,7}:{(814,1),(1085,1),(1196,1),(1588,1),(1836,1)}
1010:{1,2,4,6}:{(789,1),(813,1),(834,1),(1212,1)}
1011:{1,2,4,6}:{(788,1),(815,1),(843,1),(1129,1),(1197,1),(1203,1),(1217,1)}
1012:{1,2,4,6}:{(793,1),(818,1),(837,1),(1130,1),(1195,1),(1208,1),(1216,1)}
1013:{1,4,6}:{(791,1),(812,1),(841,1),(1210,1)}
1014:{1,2,4,6}:{(792,1),(809,1),(836,1),(1131,1),(1192,1),(1204,1)}
1015:{1,4,6}:{(790,1),(810,1),(833,1),(1193,1)}
1016:{1,4,6}:{(794,1),(817,1),(838,1),(1191,1)}
1017:{1,4,6}:{(785,1),(820,1),(842,1),(1214,1)}
1018:{1,2,4,6}:{(786,1),(816,1),(844,1),(1199,1),(1221,1),(1433,1)}
1019:{1,2,4,6}:{(787,1),(819,1),(840,1),(1201,1),(1226,1),(1433,1)}
1020:{1,2,4,6}:{(796,1),(814,1),(839,1),(1209,1)}
1021:{1,2,4,6}:{(795,1),(811,1),(835,1),(1132,1),(1200,1),(1207,1)}
1022:{1,2,5,6,7}:{(806,1),(828,1),(838,1),(1169,1),(1225,1),(1557,1),(1955,1)}
1023:{1,2,3,5,6,7}:{(805,1),(829,1),(839,1),(1158,1),(1215,1),(1478,1),(1600,1)}
1024:{1,2,3,5,7}:{(799,1),(830,1),(844,1),(1162,1),(1166,1),(1221,1),(1525,1),(1540,1),(1601,1)}
1025:{1,2,3,6,7}:{(801,1),(827,1),(842,1),(1164,1),(1169,1),(1224,1),(1612,1),(1873,1)}
1026:{1,2,5,6,7}:{(797,1),(821,1),(836,1),(1222,1),(1989,1),(2291,1),(2499,1)}
1027:{1,2,5,6,7}:{(804,1),(825,1),(835,1),(1218,1),(1979,1),(2290,1),(2500,1)}
1028:{1,2,3,5,7}:{(803,1),(826,1),(840,1),(1161,1),(1165,1),(1226,1),(1526,1),(1539,1),(1599,1)}
1029:{1,2,3,7}:{(808,1),(823,1),(837,1),(1216,1)}
1030:{1,2,3,6,7}:{(800,1),(824,1),(841,1),(1163,1),(1170,1),(1223,1),(1609,1),(1872,1)}
1031:{1,2,3,5,6,7}:{(802,1),(832,1),(834,1),(1157,1),(1219,1),(1477,1),(1605,1)}
1032:{1,2,5,6,7}:{(807,1),(822,1),(833,1),(1170,1),(1220,1),(1558,1),(1954,1)}
1033:{1,2,3,7}:{(798,1),(831,1),(843,1),(1217,1)}
1034:{1,4,5,6}:{(845,1),(849,1),(854,1),(855,1),(1227,1),(1229,1),(1249,1),(1250,1),(1631,1),(1732,1),(1733,1)}
1035:{4,5}:{(846,1),(1227,1),(1233,1)}
1036:{3,5,7}:{(845,1),(846,1),(847,1),(1229,1)}
1037:{2,3,4,6}:{(848,1),(851,1),(862,1),(863,1),(1227,1),(1228,1),(1237,1),(1263,1),(1264,1),(1623,1),(1626,1)}
1038:{1,2,5,7}:{(845,1),(849,1),(850,1),(1233,1),(1234,1),(1245,1),(1246,1)}
1039:{2,3,5,6}:{(846,1),(849,1),(851,1),(1227,1),(1229,1),(1233,1),(1234,1),(1626,1)}
1040:{2,3,6,7}:{(847,1),(850,1),(851,1),(906,1),(907,1),(1234,1),(1626,1),(1999,1)}
1041:{1,3,5}:{(846,1),(852,1),(1235,1)}
1042:{1,3,4,6,7}:{(847,1),(852,1),(936,1),(937,1),(1236,1),(1240,1),(1333,1),(1334,1),(1629,1),(1631,1),(1736,1),(1737,1)}
1043:{1,2,4,5,7}:{(848,1),(853,1),(944,1),(945,1),(1235,1),(1237,1),(1337,1),(1338,1),(1339,1),(1340,1),(1629,1),(1630,1),(1637,1)}
1044:{1,2,3,6}:{(851,1),(852,1),(853,1),(1237,1),(1333,1),(1334,1)}
1045:{2,5,6}:{(863,1),(1245,1),(1250,1)}
1046:{2,5,6}:{(862,1),(1246,1),(1249,1)}
1047:{2,3,4,5,6}:{(865,1),(975,1),(984,1),(1242,1),(1244,1),(1313,1)}
1048:{2,3,4,5,6}:{(864,1),(978,1),(982,1),(1241,1),(1243,1),(1314,1)}
1049:{3,4,5}:{(869,1),(1284,1),(1315,1)}
1050:{3,4,5}:{(868,1),(1283,1),(1316,1)}
1051:{4,5,6}:{(866,1),(983,1),(985,1),(1252,1)}
1052:{4,5,6}:{(867,1),(976,1),(981,1),(1251,1)}
1053:{4,6}:{(858,1),(901,1)}
1054:{4,6}:{(859,1),(900,1)}
1055:{3,4,6}:{(861,1),(881,1),(1290,1),(1322,1)}
1056:{3,4,6}:{(860,1),(880,1),(1289,1),(1321,1)}
1057:{2,3,4,6,7}:{(864,1),(898,1),(1243,1),(1253,1),(1324,1)}
1058:{2,3,4,6,7}:{(865,1),(899,1),(1244,1),(1254,1),(1323,1)}
1059:{2,4,6,7}:{(863,1),(903,1),(991,1),(992,1),(1245,1),(1256,1),(1380,1)}
1060:{2,4,6,7}:{(862,1),(902,1),(986,1),(987,1),(1246,1),(1255,1),(1385,1)}
1061:{4,7}:{(866,1),(904,1)}
1062:{4,7}:{(867,1),(905,1)}
1063:{3,4,6,7}:{(869,1),(915,1),(1247,1),(1329,1),(2033,1),(2046,1),(2354,1)}
1064:{3,4,6,7}:{(868,1),(914,1),(1248,1),(1330,1),(2032,1),(2047,1),(2353,1)}
1065:{2,3,5,6}:{(878,1),(974,1),(985,1),(1260,1),(1262,1),(1332,1)}
1066:{2,3,5,6}:{(879,1),(979,1),(981,1),(1259,1),(1261,1),(1331,1)}
1067:{3,6}:{(854,1),(872,1)}
1068:{3,6}:{(855,1),(873,1)}
1069:{3,4,5,6,7}:{(856,1),(871,1),(875,1),(1230,1),(1255,1),(1264,1),(1268,1),(1297,1),(1335,1),(1384,1),(1656,1),(1678,1),(2031,1)}
1070:{3,4,5,6,7}:{(857,1),(870,1),(874,1),(1230,1),(1256,1),(1263,1),(1267,1),(1298,1),(1336,1),(1382,1),(1657,1),(1679,1),(2030,1)}
1071:{3,4,5,7}:{(859,1),(872,1),(877,1),(1263,1),(1265,1),(1300,1),(1337,1),(1657,1)}
1072:{3,4,5,7}:{(858,1),(873,1),(876,1),(1264,1),(1266,1),(1299,1),(1338,1),(1656,1)}
1073:{2,3,4,7}:{(879,1),(907,1),(986,1),(991,1),(1259,1),(1266,1),(1340,1)}
1074:{2,3,4,7}:{(878,1),(906,1),(987,1),(992,1),(1260,1),(1265,1),(1339,1)}
1075:{3,4,6}:{(866,1),(877,1),(908,1),(1227,1),(1265,1),(1342,1)}
1076:{3,4,6}:{(867,1),(876,1),(909,1),(1227,1),(1266,1),(1341,1)}
1077:{3,5,6,7}:{(880,1),(919,1),(1253,1)}
1078:{3,5,6,7}:{(881,1),(918,1),(1254,1)}
1079:{3,4,5,7}:{(882,1),(885,1),(921,1),(1268,1),(1303,1)}
1080:{3,4,5,7}:{(883,1),(884,1),(920,1),(1267,1),(1304,1)}
1081:{3,4,5}:{(922,1),(1276,1),(1306,1)}
1082:{3,4,5}:{(923,1),(1275,1),(1305,1)}
1083:{2,3,4,5,7}:{(925,1),(1000,1),(1005,1),(1270,1),(1272,1),(1407,1),(1412,1),(1671,1),(2373,1),(2382,1)}
1084:{2,3,4,5,7}:{(924,1),(1004,1),(1007,1),(1269,1),(1271,1),(1405,1),(1406,1),(1670,1),(2374,1),(2381,1)}
1085:{1,2,3,5,7}:{(927,1),(1003,1),(1009,1),(1274,1),(1279,1),(1399,1),(1400,1)}
1086:{1,2,3,5,7}:{(926,1),(999,1),(1002,1),(1273,1),(1280,1),(1395,1),(1396,1)}
1087:{1,3,4,7}:{(929,1),(1001,1),(1002,1),(1277,1)}
1088:{1,3,4,7}:{(928,1),(1003,1),(1006,1),(1278,1)}
1089:{2,3,5,6}:{(894,1),(977,1),(983,1),(1282,1),(1283,1),(1285,1),(1349,1),(2034,1)}
1090:{2,3,5,6}:{(895,1),(976,1),(980,1),(1281,1),(1284,1),(1286,1),(1350,1),(2035,1)}
1091:{1,2,4,6,7}:{(855,1),(887,1),(889,1),(1255,1),(1288,1),(1295,1),(1385,1),(1387,1),(1721,1),(1730,1),(1737,1),(1762,1),(2000,1)}
1092:{1,2,4,6,7}:{(854,1),(886,1),(888,1),(1256,1),(1287,1),(1296,1),(1380,1),(1381,1),(1720,1),(1731,1),(1736,1),(1763,1),(2000,1)}
1093:{2,5,6}:{(857,1),(890,1),(1233,1),(1287,1)}
1094:{2,5,6}:{(856,1),(891,1),(1233,1),(1288,1)}
1095:{2,4,5,7}:{(858,1),(891,1),(892,1),(1233,1),(1288,1),(1292,1),(1299,1),(1625,1)}
1096:{2,4,5,7}:{(859,1),(890,1),(893,1),(1233,1),(1287,1),(1291,1),(1300,1),(1625,1)}
1097:{2,3,5,7}:{(860,1),(896,1),(1284,1),(1289,1),(1356,1)}
1098:{2,3,5,7}:{(861,1),(897,1),(1283,1),(1290,1),(1355,1)}
1099:{2,3,4,6,7}:{(895,1),(910,1),(989,1),(997,1),(1281,1),(1292,1),(1357,1),(1690,1),(1707,1),(2046,1),(2084,1)}
1100:{2,3,4,6,7}:{(894,1),(911,1),(995,1),(996,1),(1282,1),(1291,1),(1358,1),(1691,1),(1706,1),(2047,1),(2085,1)}
1101:{2,4,6}:{(867,1),(892,1),(912,1),(1258,1),(1292,1)}
1102:{2,4,6}:{(866,1),(893,1),(913,1),(1257,1),(1291,1)}
1103:{2,3,4,6}:{(868,1),(897,1),(916,1),(1257,1),(1283,1),(1290,1),(1362,1),(1643,1)}
1104:{2,3,4,6}:{(869,1),(896,1),(917,1),(1258,1),(1284,1),(1289,1),(1361,1),(1642,1)}
1105:{2,3,5,6,7}:{(871,1),(887,1),(901,1),(902,1),(905,1),(1234,1),(1246,1),(1255,1),(1295,1),(1384,1),(1385,1),(1656,1)}
1106:{2,3,5,6,7}:{(870,1),(886,1),(900,1),(903,1),(904,1),(1234,1),(1245,1),(1256,1),(1296,1),(1380,1),(1382,1),(1657,1)}
1107:{2,3,5,7}:{(873,1),(889,1),(907,1),(909,1),(1266,1),(1295,1),(1656,1),(1676,1),(1707,1),(1993,1),(1999,1)}
1108:{2,3,5,7}:{(872,1),(888,1),(906,1),(908,1),(1265,1),(1296,1),(1657,1),(1677,1),(1706,1),(1993,1),(1999,1)}
1109:{2,3,5,7}:{(875,1),(891,1),(910,1),(912,1),(1292,1),(1368,1),(1707,1)}
1110:{2,3,5,7}:{(874,1),(890,1),(911,1),(913,1),(1291,1),(1367,1),(1706,1)}
1111:{2,3,5}:{(876,1),(892,1),(1233,1),(1302,1),(1370,1)}
1112:{2,3,5}:{(877,1),(893,1),(1233,1),(1301,1),(1369,1)}
1113:{2,3,5}:{(882,1),(917,1),(951,1),(1258,1)}
1114:{2,3,5}:{(883,1),(916,1),(950,1),(1257,1)}
1115:{2,3,6,7}:{(885,1),(917,1),(953,1),(1303,1),(1705,1),(1707,1)}
1116:{2,3,6,7}:{(884,1),(916,1),(952,1),(1304,1),(1704,1),(1706,1)}
1117:{1,2,3,5,7}:{(955,1),(998,1),(1006,1),(1305,1),(1307,1),(1309,1),(1701,1),(1707,1),(2054,1),(2362,1)}
1118:{1,2,3,5,7}:{(954,1),(1001,1),(1008,1),(1306,1),(1308,1),(1310,1),(1700,1),(1706,1),(2055,1),(2361,1)}
1119:{1,4,5,6}:{(856,1),(921,1),(930,1),(1235,1),(1268,1),(1320,1),(1352,1),(2396,1)}
1120:{1,4,5,6}:{(857,1),(920,1),(931,1),(1235,1),(1267,1),(1319,1),(1351,1),(2395,1)}
1121:{1,4,5,7}:{(858,1),(923,1),(958,1),(1235,1),(1270,1),(1320,1),(1327,1),(1629,1),(2396,1),(2400,1)}
1122:{1,4,5,7}:{(859,1),(922,1),(959,1),(1235,1),(1269,1),(1319,1),(1328,1),(1629,1),(2395,1),(2399,1)}
1123:{1,4,5,7}:{(861,1),(929,1),(968,1),(1316,1),(1322,1)}
1124:{1,4,5,7}:{(860,1),(928,1),(969,1),(1315,1),(1321,1)}
1125:{1,2,4,6}:{(863,1),(924,1),(960,1),(1271,1),(1312,1),(1319,1)}
1126:{1,2,4,6}:{(862,1),(925,1),(961,1),(1272,1),(1311,1),(1320,1)}
1127:{1,2,4,6}:{(865,1),(926,1),(956,1),(1273,1),(1322,1)}
1128:{1,2,4,6}:{(864,1),(927,1),(957,1),(1274,1),(1321,1)}
1129:{1,4,6}:{(866,1),(922,1),(962,1),(1276,1),(1328,1)}
1130:{1,4,6}:{(867,1),(923,1),(963,1),(1275,1),(1327,1)}
1131:{1,4,6}:{(868,1),(929,1),(971,1),(1316,1)}
1132:{1,4,6}:{(869,1),(928,1),(970,1),(1315,1)}
1133:{1,3,5,6,7}:{(870,1),(931,1),(933,1),(934,1),(1236,1),(1334,1),(1336,1),(2096,1),(2136,1),(2361,1)}
1134:{1,3,5,6,7}:{(871,1),(930,1),(932,1),(935,1),(1236,1),(1333,1),(1335,1),(2097,1),(2141,1),(2362,1)}
1135:{1,3,5,7}:{(873,1),(936,1),(938,1),(1333,1),(1338,1)}
1136:{1,3,5,7}:{(872,1),(937,1),(939,1),(1334,1),(1337,1)}
1137:{1,4,5,7}:{(875,1),(935,1),(940,1),(942,1),(1327,1),(1368,1),(1414,1)}
1138:{1,4,5,7}:{(874,1),(934,1),(941,1),(943,1),(1328,1),(1367,1),(1424,1)}
1139:{1,4,5}:{(877,1),(939,1),(1342,1),(1369,1)}
1140:{1,4,5}:{(876,1),(938,1),(1341,1),(1370,1)}
1141:{1,2,4,6}:{(879,1),(945,1),(965,1),(1331,1),(1340,1),(1341,1)}
1142:{1,2,4,6}:{(878,1),(944,1),(964,1),(1332,1),(1339,1),(1342,1)}
1143:{1,3,4,5,6}:{(883,1),(943,1),(949,1),(1242,1),(1267,1),(1276,1),(1316,1),(1343,1),(1345,1),(1374,1),(1392,1),(1397,1),(1652,1),(1714,1),(1744,1),(2044,1),(2353,1),(2395,1)}
1144:{1,3,4,5,6}:{(882,1),(942,1),(948,1),(1241,1),(1268,1),(1275,1),(1315,1),(1344,1),(1346,1),(1373,1),(1389,1),(1394,1),(1653,1),(1715,1),(1745,1),(2045,1),(2354,1),(2396,1)}
1145:{1,3,4,6,7}:{(884,1),(941,1),(946,1),(949,1),(1254,1),(1330,1),(1343,1),(1375,1),(1404,1),(1744,1),(2353,1)}
1146:{1,3,4,6,7}:{(885,1),(940,1),(947,1),(948,1),(1253,1),(1329,1),(1344,1),(1376,1),(1410,1),(1745,1),(2354,1)}
1147:{1,2,3,4,5}:{(945,1),(1000,1),(1007,1),(1346,1),(1347,1)}
1148:{1,2,3,4,5}:{(944,1),(1004,1),(1005,1),(1345,1),(1348,1)}
1149:{1,2,5,7}:{(891,1),(921,1),(951,1),(953,1),(1303,1),(1352,1)}
1150:{1,2,5,7}:{(890,1),(920,1),(950,1),(952,1),(1304,1),(1351,1)}
1151:{1,2,4,5}:{(893,1),(922,1),(950,1),(1257,1),(1306,1),(1360,1),(1369,1),(1739,1)}
1152:{1,2,4,5}:{(892,1),(923,1),(951,1),(1258,1),(1305,1),(1359,1),(1370,1),(1738,1)}
1153:{1,2,4,6}:{(894,1),(954,1),(967,1),(1016,1),(1017,1),(1308,1),(1349,1),(1652,1),(1763,1),(2095,1)}
1154:{1,2,4,6}:{(895,1),(955,1),(966,1),(1013,1),(1015,1),(1307,1),(1350,1),(1653,1),(1762,1),(2094,1)}
1155:{1,2,4,7}:{(896,1),(928,1),(973,1),(1258,1),(1361,1)}
1156:{1,2,4,7}:{(897,1),(929,1),(972,1),(1257,1),(1362,1)}
1157:{1,2,5,6,7}:{(899,1),(918,1),(956,1),(1323,1)}
1158:{1,2,5,6,7}:{(898,1),(919,1),(957,1),(1324,1)}
1159:{1,2,3,5,6}:{(900,1),(931,1),(959,1),(960,1),(1312,1),(1319,1),(1334,1),(1351,1),(1675,1),(1704,1),(1733,1),(1763,1)}
1160:{1,2,3,5,6}:{(901,1),(930,1),(958,1),(961,1),(1311,1),(1320,1),(1333,1),(1352,1),(1674,1),(1705,1),(1732,1),(1762,1)}
1161:{1,2,3,6,7}:{(903,1),(933,1),(960,1),(1028,1),(1033,1),(1325,1),(1730,1),(1793,1),(2637,1)}
1162:{1,2,3,6,7}:{(902,1),(932,1),(961,1),(1024,1),(1029,1),(1326,1),(1731,1),(1795,1),(2638,1)}
1163:{1,2,3,5,7}:{(905,1),(935,1),(963,1),(1029,1),(1030,1),(1327,1),(1368,1),(1413,1),(1414,1),(1676,1),(1707,1)}
1164:{1,2,3,5,7}:{(904,1),(934,1),(962,1),(1025,1),(1033,1),(1328,1),(1367,1),(1417,1),(1424,1),(1677,1),(1706,1)}
1165:{1,2,3,7}:{(907,1),(936,1),(965,1),(1340,1)}
1166:{1,2,3,7}:{(906,1),(937,1),(964,1),(1339,1)}
1167:{1,2,3,5,6}:{(909,1),(938,1),(965,1),(1331,1),(1333,1),(1341,1),(1365,1),(1370,1),(1732,1),(1743,1),(1762,1),(1773,1)}
1168:{1,2,3,5,6}:{(908,1),(939,1),(964,1),(1332,1),(1334,1),(1342,1),(1366,1),(1369,1),(1733,1),(1742,1),(1763,1),(1772,1)}
1169:{1,2,6,7}:{(911,1),(941,1),(967,1),(1367,1),(1763,1)}
1170:{1,2,6,7}:{(910,1),(940,1),(966,1),(1368,1),(1762,1)}
1171:{1,2,5,6}:{(912,1),(942,1),(951,1),(966,1),(1359,1),(1368,1),(1370,1),(1762,1)}
1172:{1,2,5,6}:{(913,1),(943,1),(950,1),(967,1),(1360,1),(1367,1),(1369,1),(1763,1)}
1173:{1,2,3,5,6}:{(881,1),(956,1),(968,1),(1273,1),(1290,1),(1322,1),(1667,1),(1751,1)}
1174:{1,2,3,5,6}:{(880,1),(957,1),(969,1),(1274,1),(1289,1),(1321,1),(1666,1),(1750,1)}
1175:{1,2,3,5,6,7}:{(915,1),(947,1),(970,1),(1027,1),(1032,1),(1329,1),(1376,1),(1403,1),(1410,1),(1672,1),(1699,1),(1753,1),(2079,1),(2129,1)}
1176:{1,2,3,5,6,7}:{(914,1),(946,1),(971,1),(1022,1),(1026,1),(1330,1),(1375,1),(1404,1),(1411,1),(1673,1),(1698,1),(1752,1),(2078,1),(2128,1)}
1177:{1,2,3,6}:{(916,1),(949,1),(967,1),(972,1),(1290,1),(1362,1)}
1178:{1,2,3,6}:{(917,1),(948,1),(966,1),(973,1),(1289,1),(1361,1)}
1179:{2,3,4,5,7}:{(975,1),(988,1),(1386,1),(1416,1)}
1180:{3,4,5,7}:{(980,1),(989,1),(1281,1),(1418,1),(2046,1)}
1181:{2,4,5,7}:{(979,1),(991,1),(1245,1),(1259,1),(1387,1),(1619,1),(1781,1)}
1182:{2,3,4,5,7}:{(984,1),(993,1),(1248,1),(1379,1),(1421,1),(2374,1)}
1183:{3,5,7}:{(983,1),(996,1),(1252,1),(1424,1)}
1184:{2,4,5,7}:{(974,1),(987,1),(1246,1),(1260,1),(1381,1),(1619,1),(1776,1)}
1185:{3,5,7}:{(976,1),(997,1),(1251,1),(1414,1)}
1186:{3,4,5,7}:{(977,1),(995,1),(1282,1),(1419,1),(2047,1)}
1187:{2,3,4,5,7}:{(978,1),(990,1),(1383,1),(1423,1)}
1188:{2,3,4,5,7}:{(982,1),(994,1),(1247,1),(1377,1),(1415,1),(2373,1)}
1189:{2,5,7}:{(985,1),(992,1),(1252,1),(1380,1)}
1190:{2,5,7}:{(981,1),(986,1),(1251,1),(1385,1)}
1191:{1,3,6}:{(1001,1),(1016,1)}
1192:{1,2,3,6}:{(1002,1),(1014,1),(1277,1),(1395,1)}
1193:{1,3,6}:{(1006,1),(1015,1)}
1194:{1,3,4,6}:{(998,1),(1013,1),(1275,1),(1307,1),(1394,1),(1653,1),(2354,1)}
1195:{2,3,4,6}:{(1000,1),(1012,1),(1275,1),(1398,1),(1412,1)}
1196:{1,2,3,4,6}:{(1009,1),(1020,1),(1274,1),(1400,1),(1648,1)}
1197:{2,3,4,6}:{(1004,1),(1011,1),(1276,1),(1390,1),(1405,1)}
1198:{1,2,3,4,6}:{(999,1),(1010,1),(1273,1),(1396,1),(1649,1)}
1199:{2,3,4,6}:{(1005,1),(1018,1),(1391,1),(1407,1),(1623,1)}
1200:{1,2,3,6}:{(1003,1),(1021,1),(1278,1),(1399,1)}
1201:{2,3,4,6}:{(1007,1),(1019,1),(1393,1),(1406,1),(1623,1)}
1202:{1,3,4,6}:{(1008,1),(1017,1),(1276,1),(1308,1),(1392,1),(1652,1),(2353,1)}
1203:{1,2,5,6}:{(985,1),(1011,1),(1317,1),(1390,1),(1417,1)}
1204:{1,2,4,5}:{(984,1),(1014,1),(1316,1),(1395,1)}
1205:{1,2,4,5,6}:{(974,1),(1018,1),(1311,1),(1332,1),(1391,1),(1420,1),(1628,1),(1647,1),(1726,1)}
1206:{1,4,5,6}:{(977,1),(1016,1),(1316,1),(1349,1),(1397,1),(1419,1),(1652,1),(2095,1),(2395,1)}
1207:{1,2,4,5}:{(982,1),(1021,1),(1315,1),(1399,1)}
1208:{1,2,5,6}:{(981,1),(1012,1),(1318,1),(1398,1),(1413,1)}
1209:{1,2,4,5}:{(978,1),(1020,1),(1400,1)}
1210:{1,5,6}:{(976,1),(1013,1),(1414,1)}
1211:{1,2,4,5,6}:{(979,1),(1019,1),(1312,1),(1331,1),(1393,1),(1422,1),(1628,1),(1646,1),(1727,1)}
1212:{1,2,4,5}:{(975,1),(1010,1),(1396,1)}
1213:{1,4,5,6}:{(980,1),(1015,1),(1315,1),(1350,1),(1389,1),(1418,1),(1653,1),(2094,1),(2396,1)}
1214:{1,5,6}:{(983,1),(1017,1),(1424,1)}
1215:{1,2,4,6,7}:{(990,1),(1020,1),(1023,1),(1423,1)}
1216:{1,2,4,7}:{(986,1),(1012,1),(1029,1),(1327,1),(1412,1),(1413,1)}
1217:{1,2,4,7}:{(992,1),(1011,1),(1033,1),(1328,1),(1405,1),(1417,1)}
1218:{1,2,4,6,7}:{(994,1),(1021,1),(1027,1),(1329,1),(1403,1),(1415,1),(2066,1),(2378,1),(2424,1)}
1219:{1,2,4,6,7}:{(988,1),(1010,1),(1031,1),(1416,1)}
1220:{1,4,6,7}:{(989,1),(1015,1),(1032,1),(1410,1),(1418,1),(2094,1)}
1221:{1,2,4,7}:{(987,1),(1018,1),(1024,1),(1407,1),(1629,1)}
1222:{1,2,4,6,7}:{(993,1),(1014,1),(1026,1),(1330,1),(1411,1),(1421,1),(2067,1),(2377,1),(2423,1)}
1223:{1,4,6,7}:{(997,1),(1013,1),(1030,1),(1327,1),(1414,1)}
1224:{1,4,6,7}:{(996,1),(1017,1),(1025,1),(1328,1),(1424,1)}
1225:{1,4,6,7}:{(995,1),(1016,1),(1022,1),(1404,1),(1419,1),(2095,1)}
1226:{1,2,4,7}:{(991,1),(1019,1),(1028,1),(1406,1),(1629,1)}
1227:{4,6}:{(1035,1),(1039,1),(1426,1)}
1228:{2,3,5,6}:{(1037,1),(1045,1),(1046,1),(1425,1),(1427,1),(1434,1),(1459,1),(1460,1),(1813,1)}
1229:{3,5,6}:{(1034,1),(1036,1),(1067,1),(1068,1),(1428,1)}
1230:{3,4,5,7}:{(1035,1),(1036,1),(1426,1),(1428,1),(1429,1),(1432,1),(1436,1),(1814,1)}
1231:{2,3,4,6,7}:{(1037,1),(1040,1),(1059,1),(1060,1),(1073,1),(1074,1),(1426,1),(1427,1),(1437,1),(1457,1),(1458,1),(1463,1),(1464,1),(1810,1),(1814,1),(2163,1)}
1232:{1,2,4,5,6,7}:{(1034,1),(1038,1),(1091,1),(1092,1),(1426,1),(1430,1),(1431,1),(1445,1),(1446,1),(1451,1),(1452,1),(1493,1),(1494,1),(1810,1),(1815,1),(1819,1),(1821,1),(1823,1),(1826,1),(1827,1),(1828,1),(1914,1),(1915,1),(1924,1),(1925,1),(1948,1),(1949,1),(1954,1),(1955,1),(2176,1),(2179,1),(2230,1),(2231,1),(2464,1),(2547,1),(2548,1),(2681,1),(2691,1)}
1233:{2,5}:{(1035,1),(1430,1)}
1234:{2,3,5,7}:{(1036,1),(1038,1),(1039,1),(1040,1),(1426,1)}
1235:{1,4,5}:{(1035,1),(1041,1),(1429,1),(1433,1),(1439,1)}
1236:{1,3,5,7}:{(1036,1),(1041,1),(1042,1),(1435,1),(1436,1),(1924,1),(1925,1)}
1237:{1,2,4,6}:{(1037,1),(1043,1),(1044,1),(1433,1),(1434,1),(1543,1),(1544,1),(1828,1)}
1238:{1,2,3,4,5,7}:{(1043,1),(1083,1),(1084,1),(1147,1),(1148,1),(1429,1),(1438,1),(1551,1),(1552,1),(1553,1),(1554,1),(1814,1),(1824,1),(1829,1),(2448,1),(2454,1),(2455,1),(2457,1),(2459,1),(2460,1),(2543,1),(2544,1),(2545,1),(2546,1),(2696,1)}
1239:{1,2,3,5,6}:{(1039,1),(1041,1),(1044,1),(1433,1),(1434,1),(1435,1),(1439,1),(1440,1),(1813,1),(1818,1),(1828,1)}
1240:{1,2,3,6,7}:{(1040,1),(1042,1),(1044,1),(1165,1),(1166,1),(1437,1),(1440,1),(1828,1),(2163,1)}
1241:{3,4,5,6}:{(1049,1),(1056,1),(1448,1),(1489,1),(1521,1)}
1242:{3,4,5,6}:{(1050,1),(1055,1),(1447,1),(1490,1),(1522,1)}
1243:{2,3,4,5,7}:{(1048,1),(1057,1),(1448,1),(1523,1)}
1244:{2,3,4,5,7}:{(1047,1),(1058,1),(1447,1),(1524,1)}
1245:{2,5,7}:{(1045,1),(1059,1),(1452,1)}
1246:{2,5,7}:{(1046,1),(1060,1),(1451,1)}
1247:{3,4,5,7}:{(1049,1),(1063,1),(1444,1),(1491,1),(1528,1),(2193,1)}
1248:{3,4,5,7}:{(1050,1),(1064,1),(1443,1),(1492,1),(1527,1),(2192,1)}
1249:{4,5,6}:{(1046,1),(1053,1),(1451,1),(1460,1)}
1250:{4,5,6}:{(1045,1),(1054,1),(1452,1),(1459,1)}
1251:{4,5,7}:{(1052,1),(1062,1),(1185,1),(1190,1),(1449,1)}
1252:{4,5,7}:{(1051,1),(1061,1),(1183,1),(1189,1),(1450,1)}
1253:{3,4,6,7}:{(1056,1),(1077,1),(1448,1),(1498,1),(1533,1)}
1254:{3,4,6,7}:{(1055,1),(1078,1),(1447,1),(1497,1),(1534,1)}
1255:{4,6,7}:{(1053,1),(1062,1),(1105,1),(1426,1),(1451,1)}
1256:{4,6,7}:{(1054,1),(1061,1),(1106,1),(1426,1),(1452,1)}
1257:{2,4}:{(1114,1)}
1258:{2,4}:{(1113,1)}
1259:{2,3,5,7}:{(1066,1),(1073,1),(1181,1),(1190,1),(1458,1),(1461,1),(1539,1)}
1260:{2,3,5,7}:{(1065,1),(1074,1),(1184,1),(1189,1),(1457,1),(1462,1),(1540,1)}
1261:{3,4,5,6}:{(1052,1),(1066,1),(1076,1),(1425,1),(1460,1),(1461,1),(1473,1),(1542,1),(1591,1),(1813,1)}
1262:{3,4,5,6}:{(1051,1),(1065,1),(1075,1),(1425,1),(1459,1),(1462,1),(1474,1),(1541,1),(1584,1),(1813,1)}
1263:{3,4,6}:{(1054,1),(1067,1),(1071,1),(1459,1),(1501,1),(1544,1)}
1264:{3,4,6}:{(1053,1),(1068,1),(1072,1),(1460,1),(1502,1),(1543,1)}
1265:{3,4,7}:{(1061,1),(1075,1),(1108,1),(1426,1),(1545,1)}
1266:{3,4,7}:{(1062,1),(1076,1),(1107,1),(1426,1),(1546,1)}
1267:{3,4,5,6}:{(1080,1),(1120,1),(1429,1),(1475,1),(1510,1),(2192,1)}
1268:{3,4,5,6}:{(1079,1),(1119,1),(1429,1),(1476,1),(1509,1),(2193,1)}
1269:{3,4,5,7}:{(1081,1),(1122,1),(1429,1),(1475,1),(1481,1),(1512,1),(1814,1),(1875,1),(2192,1),(2202,1)}
1270:{3,4,5,7}:{(1082,1),(1121,1),(1429,1),(1476,1),(1482,1),(1511,1),(1814,1),(1874,1),(2193,1),(2203,1)}
1271:{2,3,4,6}:{(1084,1),(1125,1),(1467,1),(1475,1)}
1272:{2,3,4,6}:{(1083,1),(1126,1),(1468,1),(1476,1)}
1273:{1,2,3,6}:{(1086,1),(1127,1),(1483,1)}
1274:{1,2,3,6}:{(1085,1),(1128,1),(1484,1)}
1275:{3,4,6}:{(1082,1),(1130,1),(1473,1),(1482,1),(1515,1)}
1276:{3,4,6}:{(1081,1),(1129,1),(1474,1),(1481,1),(1516,1)}
1277:{1,3,4,6}:{(1087,1),(1131,1),(1191,1),(1192,1),(1472,1),(1586,1)}
1278:{1,3,4,6}:{(1088,1),(1132,1),(1193,1),(1200,1),(1471,1),(1588,1)}
1279:{1,3,4,5,7}:{(1085,1),(1088,1),(1124,1),(1471,1),(1484,1),(1588,1),(1592,1),(1836,1),(1870,1)}
1280:{1,3,4,5,7}:{(1086,1),(1087,1),(1123,1),(1472,1),(1483,1),(1586,1),(1590,1),(1837,1),(1871,1)}
1281:{2,3,5,7}:{(1090,1),(1099,1),(1180,1),(1185,1),(1496,1),(1558,1)}
1282:{2,3,5,7}:{(1089,1),(1100,1),(1183,1),(1186,1),(1495,1),(1557,1)}
1283:{2,3,5}:{(1050,1),(1103,1),(1454,1),(1559,1)}
1284:{2,3,5}:{(1049,1),(1104,1),(1453,1),(1560,1)}
1285:{2,4,5,6}:{(1051,1),(1089,1),(1102,1),(1454,1),(1495,1),(1831,1),(1833,1)}
1286:{2,4,5,6}:{(1052,1),(1090,1),(1101,1),(1453,1),(1496,1),(1830,1),(1832,1)}
1287:{2,4,6}:{(1054,1),(1093,1),(1096,1),(1501,1)}
1288:{2,4,6}:{(1053,1),(1094,1),(1095,1),(1502,1)}
1289:{2,3,6}:{(1056,1),(1097,1),(1566,1)}
1290:{2,3,6}:{(1055,1),(1098,1),(1565,1)}
1291:{2,4,7}:{(1061,1),(1102,1),(1110,1)}
1292:{2,4,7}:{(1062,1),(1101,1),(1109,1)}
1293:{2,3,4,6,7}:{(1063,1),(1104,1),(1115,1),(1455,1),(1491,1),(1498,1),(1569,1),(1832,1),(1835,1),(1863,1),(1879,1),(2221,1)}
1294:{2,3,4,6,7}:{(1064,1),(1103,1),(1116,1),(1456,1),(1492,1),(1497,1),(1570,1),(1833,1),(1834,1),(1862,1),(1878,1),(2220,1)}
1295:{2,3,6,7}:{(1068,1),(1091,1),(1107,1),(1463,1),(1502,1),(1872,1),(2163,1)}
1296:{2,3,6,7}:{(1067,1),(1092,1),(1108,1),(1464,1),(1501,1),(1873,1),(2163,1)}
1297:{2,3,5,6,7}:{(1069,1),(1094,1),(1109,1),(1432,1),(1499,1),(1502,1),(1509,1),(1573,1),(1893,1),(1908,1)}
1298:{2,3,5,6,7}:{(1070,1),(1093,1),(1110,1),(1432,1),(1500,1),(1501,1),(1510,1),(1574,1),(1892,1),(1909,1)}
1299:{2,3,5,7}:{(1072,1),(1095,1),(1111,1),(1502,1),(1506,1),(1575,1)}
1300:{2,3,5,7}:{(1071,1),(1096,1),(1112,1),(1501,1),(1505,1),(1576,1)}
1301:{2,3,4,6}:{(1075,1),(1102,1),(1112,1),(1430,1),(1465,1),(1501,1),(1505,1),(1516,1),(1577,1),(1811,1),(1818,1)}
1302:{2,3,4,6}:{(1076,1),(1101,1),(1111,1),(1430,1),(1466,1),(1502,1),(1506,1),(1515,1),(1578,1),(1811,1),(1818,1)}
1303:{2,3,5,7}:{(1079,1),(1113,1),(1115,1),(1149,1),(1455,1),(1509,1)}
1304:{2,3,5,7}:{(1080,1),(1114,1),(1116,1),(1150,1),(1456,1),(1510,1)}
1305:{2,3,5}:{(1082,1),(1152,1),(1466,1),(1515,1)}
1306:{2,3,5}:{(1081,1),(1151,1),(1465,1),(1516,1)}
1307:{1,2,3,6}:{(1117,1),(1154,1),(1193,1),(1194,1),(1515,1),(2221,1),(2225,1)}
1308:{1,2,3,6}:{(1118,1),(1153,1),(1191,1),(1202,1),(1516,1),(2220,1),(2224,1)}
1309:{1,2,3,4,7}:{(1088,1),(1117,1),(1155,1),(1466,1),(1519,1),(1845,1),(1879,1),(1931,1),(1980,1),(2495,1)}
1310:{1,2,3,4,7}:{(1087,1),(1118,1),(1156,1),(1465,1),(1520,1),(1844,1),(1878,1),(1930,1),(1987,1),(2496,1)}
1311:{1,2,5,6}:{(1046,1),(1126,1),(1468,1),(1525,1),(1530,1)}
1312:{1,2,5,6}:{(1045,1),(1125,1),(1467,1),(1526,1),(1529,1)}
1313:{1,2,4,5,6}:{(1047,1),(1127,1),(1204,1),(1212,1),(1470,1),(1522,1),(1524,1)}
1314:{1,2,4,5,6}:{(1048,1),(1128,1),(1207,1),(1209,1),(1469,1),(1521,1),(1523,1)}
1315:{1,4,5}:{(1049,1),(1132,1),(1471,1),(1560,1)}
1316:{1,4,5}:{(1050,1),(1131,1),(1472,1),(1559,1)}
1317:{1,4,5,6}:{(1051,1),(1129,1),(1203,1),(1214,1),(1474,1),(1532,1),(1584,1)}
1318:{1,4,5,6}:{(1052,1),(1130,1),(1208,1),(1210,1),(1473,1),(1531,1),(1591,1)}
1319:{1,4,6}:{(1054,1),(1122,1),(1159,1),(1475,1)}
1320:{1,4,6}:{(1053,1),(1121,1),(1160,1),(1476,1)}
1321:{1,4,6}:{(1056,1),(1124,1),(1174,1)}
1322:{1,4,6}:{(1055,1),(1123,1),(1173,1)}
1323:{1,2,4,6,7}:{(1058,1),(1127,1),(1157,1),(1477,1),(1524,1),(1534,1)}
1324:{1,2,4,6,7}:{(1057,1),(1128,1),(1158,1),(1478,1),(1523,1),(1533,1)}
1325:{1,2,4,6,7}:{(1059,1),(1125,1),(1161,1),(1217,1),(1226,1),(1479,1),(1526,1),(1535,1),(1612,1),(2546,1),(2548,1)}
1326:{1,2,4,6,7}:{(1060,1),(1126,1),(1162,1),(1216,1),(1221,1),(1480,1),(1525,1),(1536,1),(1609,1),(2545,1),(2547,1)}
1327:{1,4,7}:{(1062,1),(1130,1),(1163,1),(1482,1)}
1328:{1,4,7}:{(1061,1),(1129,1),(1164,1),(1481,1)}
1329:{1,4,6,7}:{(1063,1),(1132,1),(1175,1),(1528,1),(1845,1),(2196,1),(2263,1)}
1330:{1,4,6,7}:{(1064,1),(1131,1),(1176,1),(1527,1),(1844,1),(2197,1),(2262,1)}
1331:{1,2,5,6}:{(1066,1),(1141,1),(1539,1),(1542,1)}
1332:{1,2,5,6}:{(1065,1),(1142,1),(1540,1),(1541,1)}
1333:{1,3,6}:{(1068,1),(1135,1),(1543,1)}
1334:{1,3,6}:{(1067,1),(1136,1),(1544,1)}
1335:{1,4,5,6,7}:{(1069,1),(1119,1),(1134,1),(1137,1),(1436,1),(1536,1),(1543,1),(1573,1),(1611,1),(1925,1),(2191,1),(2261,1)}
1336:{1,4,5,6,7}:{(1070,1),(1120,1),(1133,1),(1138,1),(1436,1),(1535,1),(1544,1),(1574,1),(1615,1),(1924,1),(2190,1),(2260,1)}
1337:{1,4,5,7}:{(1071,1),(1136,1),(1139,1),(1544,1),(1545,1),(1576,1),(1924,1)}
1338:{1,4,5,7}:{(1072,1),(1135,1),(1140,1),(1543,1),(1546,1),(1575,1),(1925,1)}
1339:{1,2,4,7}:{(1074,1),(1142,1),(1166,1),(1540,1),(1545,1)}
1340:{1,2,4,7}:{(1073,1),(1141,1),(1165,1),(1539,1),(1546,1)}
1341:{1,4,6}:{(1076,1),(1140,1),(1167,1),(1546,1)}
1342:{1,4,6}:{(1075,1),(1139,1),(1168,1),(1545,1)}
1343:{1,3,4,5,7}:{(1080,1),(1138,1),(1143,1),(1145,1),(1447,1),(1481,1),(1527,1),(1580,1),(1598,1),(1604,1),(1844,1),(2214,1)}
1344:{1,3,4,5,7}:{(1079,1),(1137,1),(1144,1),(1146,1),(1448,1),(1482,1),(1528,1),(1579,1),(1596,1),(1606,1),(1845,1),(2215,1)}
1345:{1,3,4,5}:{(1081,1),(1139,1),(1429,1),(1556,1),(1581,1)}
1346:{1,3,4,5}:{(1082,1),(1140,1),(1429,1),(1555,1),(1582,1)}
1347:{1,2,3,4,6}:{(1141,1),(1147,1),(1195,1),(1201,1),(1548,1),(1553,1),(1555,1)}
1348:{1,2,3,4,6}:{(1142,1),(1148,1),(1197,1),(1199,1),(1547,1),(1554,1),(1556,1)}
1349:{1,2,5,6}:{(1089,1),(1153,1),(1206,1),(1214,1),(1557,1),(1559,1),(2265,1)}
1350:{1,2,5,6}:{(1090,1),(1154,1),(1210,1),(1213,1),(1558,1),(1560,1),(2264,1)}
1351:{1,2,5,6}:{(1093,1),(1120,1),(1150,1),(1439,1),(1510,1),(1564,1),(2265,1)}
1352:{1,2,5,6}:{(1094,1),(1119,1),(1149,1),(1439,1),(1509,1),(1563,1),(2264,1)}
1353:{1,2,4,5,7}:{(1096,1),(1122,1),(1150,1),(1151,1),(1439,1),(1456,1),(1512,1),(1564,1),(1567,1),(1576,1),(1811,1),(1827,1),(1831,1),(1930,1),(2265,1)}
1354:{1,2,4,5,7}:{(1095,1),(1121,1),(1149,1),(1152,1),(1439,1),(1455,1),(1511,1),(1563,1),(1568,1),(1575,1),(1811,1),(1827,1),(1830,1),(1931,1),(2264,1)}
1355:{1,2,4,5,7}:{(1098,1),(1123,1),(1156,1),(1454,1),(1559,1),(1565,1),(1834,1),(1946,1)}
1356:{1,2,4,5,7}:{(1097,1),(1124,1),(1155,1),(1453,1),(1560,1),(1566,1),(1835,1),(1947,1)}
1357:{1,2,4,6,7}:{(1099,1),(1154,1),(1170,1),(1220,1),(1223,1),(1514,1),(1558,1),(1568,1),(1845,1)}
1358:{1,2,4,6,7}:{(1100,1),(1153,1),(1169,1),(1224,1),(1225,1),(1513,1),(1557,1),(1567,1),(1844,1)}
1359:{1,2,4,6}:{(1101,1),(1130,1),(1152,1),(1171,1),(1515,1),(1568,1)}
1360:{1,2,4,6}:{(1102,1),(1129,1),(1151,1),(1172,1),(1516,1),(1567,1)}
1361:{1,2,4,6}:{(1104,1),(1132,1),(1155,1),(1178,1),(1560,1)}
1362:{1,2,4,6}:{(1103,1),(1131,1),(1156,1),(1177,1),(1559,1)}
1363:{1,2,3,5,6,7}:{(1106,1),(1133,1),(1159,1),(1161,1),(1164,1),(1440,1),(1526,1),(1535,1),(1572,1),(1574,1),(1612,1),(1615,1),(1821,1),(1869,1),(1873,1),(1875,1),(1909,1),(1924,1),(2163,1),(2277,1),(2294,1),(2548,1)}
1364:{1,2,3,5,6,7}:{(1105,1),(1134,1),(1160,1),(1162,1),(1163,1),(1440,1),(1525,1),(1536,1),(1571,1),(1573,1),(1609,1),(1611,1),(1821,1),(1868,1),(1872,1),(1874,1),(1908,1),(1925,1),(2163,1),(2276,1),(2295,1),(2547,1)}
1365:{1,2,3,5,7}:{(1107,1),(1135,1),(1165,1),(1167,1),(1539,1),(1546,1),(1571,1),(1575,1),(1925,1),(1936,1),(1964,1)}
1366:{1,2,3,5,7}:{(1108,1),(1136,1),(1166,1),(1168,1),(1540,1),(1545,1),(1572,1),(1576,1),(1924,1),(1937,1),(1965,1)}
1367:{1,2,5,7}:{(1110,1),(1138,1),(1169,1),(1172,1),(1567,1)}
1368:{1,2,5,7}:{(1109,1),(1137,1),(1170,1),(1171,1),(1568,1)}
1369:{1,2,5}:{(1112,1),(1139,1),(1577,1)}
1370:{1,2,5}:{(1111,1),(1140,1),(1578,1)}
1371:{1,2,3,5,6,7}:{(1078,1),(1157,1),(1173,1),(1477,1),(1497,1),(1534,1),(1871,1),(1946,1)}
1372:{1,2,3,5,6,7}:{(1077,1),(1158,1),(1174,1),(1478,1),(1498,1),(1533,1),(1870,1),(1947,1)}
1373:{1,2,3,5,6}:{(1113,1),(1144,1),(1171,1),(1178,1),(1489,1),(1509,1),(1515,1),(1537,1),(1560,1),(1579,1),(1582,1),(1876,1),(1944,1),(1961,1),(2221,1),(2264,1)}
1374:{1,2,3,5,6}:{(1114,1),(1143,1),(1172,1),(1177,1),(1490,1),(1510,1),(1516,1),(1538,1),(1559,1),(1580,1),(1581,1),(1877,1),(1945,1),(1960,1),(2220,1),(2265,1)}
1375:{1,2,3,6,7}:{(1116,1),(1145,1),(1169,1),(1177,1),(1497,1),(1570,1),(1580,1),(1960,1),(2220,1)}
1376:{1,2,3,6,7}:{(1115,1),(1146,1),(1170,1),(1178,1),(1498,1),(1569,1),(1579,1),(1961,1),(2221,1)}
1377:{2,3,4,5,6}:{(1188,1),(1444,1),(1610,1),(2515,1),(2568,1)}
1378:{3,4,5,6,7}:{(1186,1),(1443,1),(1487,1),(1613,1),(2216,1)}
1379:{2,3,4,5,6}:{(1182,1),(1443,1),(1607,1),(2516,1),(2558,1)}
1380:{2,6,7}:{(1189,1),(1450,1)}
1381:{2,4,6,7}:{(1184,1),(1446,1),(1457,1),(1810,1),(1968,1)}
1382:{3,5,6,7}:{(1183,1),(1450,1),(1615,1),(1873,1)}
1383:{2,3,4,5,6}:{(1187,1),(1614,1)}
1384:{3,5,6,7}:{(1185,1),(1449,1),(1611,1),(1872,1)}
1385:{2,6,7}:{(1190,1),(1449,1)}
1386:{2,3,4,5,6}:{(1179,1),(1617,1)}
1387:{2,4,6,7}:{(1181,1),(1445,1),(1458,1),(1810,1),(1973,1)}
1388:{3,4,5,6,7}:{(1180,1),(1444,1),(1488,1),(1616,1),(2217,1)}
1389:{1,3,5,6}:{(1193,1),(1213,1),(1471,1),(1585,1),(1606,1),(2225,1),(2492,1)}
1390:{2,3,5,6}:{(1197,1),(1203,1),(1474,1),(1584,1),(1597,1)}
1391:{2,3,5,6}:{(1199,1),(1205,1),(1589,1),(1601,1),(1813,1)}
1392:{1,3,5,6}:{(1202,1),(1214,1),(1474,1),(1593,1),(1598,1),(2486,1)}
1393:{2,3,5,6}:{(1201,1),(1211,1),(1587,1),(1599,1),(1813,1)}
1394:{1,3,5,6}:{(1194,1),(1210,1),(1473,1),(1583,1),(1596,1),(2485,1)}
1395:{1,2,3,5}:{(1192,1),(1204,1),(1472,1),(1586,1)}
1396:{1,2,3,5}:{(1198,1),(1212,1),(1590,1)}
1397:{1,3,5,6}:{(1191,1),(1206,1),(1472,1),(1594,1),(1604,1),(2224,1),(2491,1)}
1398:{2,3,5,6}:{(1195,1),(1208,1),(1473,1),(1591,1),(1602,1)}
1399:{1,2,3,5}:{(1200,1),(1207,1),(1471,1),(1588,1)}
1400:{1,2,3,5}:{(1196,1),(1209,1),(1592,1)}
1401:{1,2,3,4,6,7}:{(1198,1),(1219,1),(1477,1),(1605,1),(1837,1),(1967,1)}
1402:{1,3,4,6,7}:{(1202,1),(1224,1),(1481,1),(1513,1),(1598,1),(1844,1),(1873,1),(1976,1),(2216,1)}
1403:{1,2,3,6,7}:{(1200,1),(1218,1),(1485,1),(1603,1),(1980,1),(2229,1),(2519,1)}
1404:{1,3,6,7}:{(1191,1),(1225,1),(1604,1),(2224,1)}
1405:{2,3,4,7}:{(1197,1),(1217,1),(1481,1),(1597,1)}
1406:{2,3,4,7}:{(1201,1),(1226,1),(1599,1),(1814,1)}
1407:{2,3,4,7}:{(1199,1),(1221,1),(1601,1),(1814,1)}
1408:{1,2,3,4,6,7}:{(1196,1),(1215,1),(1478,1),(1600,1),(1836,1),(1975,1)}
1409:{1,3,4,6,7}:{(1194,1),(1223,1),(1482,1),(1514,1),(1596,1),(1845,1),(1872,1),(1977,1),(2217,1)}
1410:{1,3,6,7}:{(1193,1),(1220,1),(1606,1),(2225,1)}
1411:{1,2,3,6,7}:{(1192,1),(1222,1),(1486,1),(1595,1),(1987,1),(2228,1),(2520,1)}
1412:{2,3,4,7}:{(1195,1),(1216,1),(1482,1),(1602,1)}
1413:{1,2,5,7}:{(1190,1),(1208,1),(1216,1),(1531,1),(1602,1),(1609,1)}
1414:{1,5,7}:{(1185,1),(1210,1),(1223,1)}
1415:{1,2,4,5,7}:{(1188,1),(1207,1),(1218,1),(1528,1),(1603,1),(1610,1),(2543,1)}
1416:{1,2,4,5,7}:{(1179,1),(1212,1),(1219,1),(1605,1),(1617,1)}
1417:{1,2,5,7}:{(1189,1),(1203,1),(1217,1),(1532,1),(1597,1),(1612,1)}
1418:{1,4,5,7}:{(1180,1),(1213,1),(1220,1),(1558,1),(1606,1),(1845,1)}
1419:{1,4,5,7}:{(1186,1),(1206,1),(1225,1),(1557,1),(1604,1),(1844,1)}
1420:{1,2,4,5,7}:{(1184,1),(1205,1),(1221,1),(1525,1),(1540,1),(1601,1),(1608,1),(1819,1),(1838,1),(1921,1)}
1421:{1,2,4,5,7}:{(1182,1),(1204,1),(1222,1),(1527,1),(1595,1),(1607,1),(2544,1)}
1422:{1,2,4,5,7}:{(1181,1),(1211,1),(1226,1),(1526,1),(1539,1),(1599,1),(1618,1),(1819,1),(1839,1),(1920,1)}
1423:{1,2,4,5,7}:{(1187,1),(1209,1),(1215,1),(1600,1),(1614,1)}
1424:{1,5,7}:{(1183,1),(1214,1),(1224,1)}
1425:{4,5,6}:{(1227,1),(1228,1),(1619,1)}
1426:{4,7}:{(1227,1),(1234,1)}
1427:{2,3,5,7}:{(1228,1),(1231,1),(1245,1),(1246,1),(1619,1),(1630,1),(1656,1),(1657,1),(1993,1)}
1428:{3,4,6}:{(1227,1),(1229,1),(1230,1),(1626,1),(1631,1)}
1429:{3,4,5}:{(1235,1),(1623,1),(1627,1)}
1430:{2,4,6}:{(1227,1),(1233,1),(1625,1),(1626,1)}
1431:{2,3,5,6,7}:{(1229,1),(1232,1),(1234,1),(1295,1),(1296,1),(1622,1),(1626,1),(1656,1),(1657,1),(1692,1),(1693,1),(1993,1),(1997,1),(1998,1),(1999,1),(2050,1),(2051,1),(2082,1),(2083,1),(2320,1),(2385,1),(2386,1),(2569,1)}
1432:{2,3,5,7}:{(1230,1),(1233,1),(1625,1),(1626,1),(1627,1),(1637,1),(1999,1)}
1433:{1,4,6}:{(1227,1),(1235,1),(1239,1),(1623,1),(1629,1)}
1434:{1,2,5,6}:{(1228,1),(1237,1),(1628,1),(1630,1),(1732,1),(1733,1)}
1435:{1,3,5,6}:{(1229,1),(1236,1),(1333,1),(1334,1),(1631,1),(1732,1),(1733,1)}
1436:{1,4,5,7}:{(1230,1),(1235,1),(1236,1),(1629,1),(1631,1),(1637,1)}
1437:{1,2,4,6,7}:{(1231,1),(1237,1),(1240,1),(1339,1),(1340,1),(1629,1),(1630,1),(1730,1),(1731,1),(1736,1),(1737,1),(2000,1)}
1438:{1,2,3,4,6}:{(1237,1),(1238,1),(1271,1),(1272,1),(1623,1),(1632,1),(1744,1),(1745,1),(2011,1),(2319,1),(2322,1),(2325,1),(2423,1),(2424,1),(2571,1),(2785,1)}
1439:{1,2,5}:{(1233,1),(1235,1),(1627,1),(1635,1)}
1440:{1,2,3,5,7}:{(1234,1),(1236,1),(1239,1),(1240,1),(1629,1),(1630,1),(1637,1),(1993,1),(1999,1)}
1441:{2,3,4,5,6,7}:{(1243,1),(1377,1),(1383,1),(1638,1),(1712,1),(2603,1),(2622,1),(2633,1),(3008,1)}
1442:{2,3,4,5,6,7}:{(1244,1),(1379,1),(1386,1),(1639,1),(1713,1),(2604,1),(2621,1),(2634,1),(3009,1)}
1443:{3,4,5,6}:{(1248,1),(1684,1),(1714,1),(2353,1)}
1444:{3,4,5,6}:{(1247,1),(1685,1),(1715,1),(2354,1)}
1445:{2,5,6,7}:{(1245,1),(1380,1),(1387,1),(1640,1),(2147,1)}
1446:{2,5,6,7}:{(1246,1),(1381,1),(1385,1),(1641,1),(2140,1)}
1447:{3,4,5,7}:{(1242,1),(1254,1),(1686,1),(1718,1)}
1448:{3,4,5,7}:{(1241,1),(1253,1),(1687,1),(1719,1)}
1449:{4,6,7}:{(1251,1),(1384,1),(1385,1)}
1450:{4,6,7}:{(1252,1),(1380,1),(1382,1)}
1451:{4,5,7}:{(1246,1),(1249,1),(1255,1),(1656,1)}
1452:{4,5,7}:{(1245,1),(1250,1),(1256,1),(1657,1)}
1453:{2,4,5}:{(1258,1),(1284,1),(1642,1)}
1454:{2,4,5}:{(1257,1),(1283,1),(1643,1)}
1455:{2,4,7}:{(1258,1),(1303,1),(1655,1)}
1456:{2,4,7}:{(1257,1),(1304,1),(1654,1)}
1457:{2,3,6,7}:{(1260,1),(1380,1),(1381,1),(1660,1),(1731,1)}
1458:{2,3,6,7}:{(1259,1),(1385,1),(1387,1),(1661,1),(1730,1)}
1459:{3,5,6}:{(1250,1),(1263,1),(1657,1),(1733,1)}
1460:{3,5,6}:{(1249,1),(1264,1),(1656,1),(1732,1)}
1461:{3,4,5,7}:{(1251,1),(1259,1),(1261,1),(1266,1),(1619,1),(1656,1),(1661,1),(1676,1),(1734,1),(1781,1),(1993,1)}
1462:{3,4,5,7}:{(1252,1),(1260,1),(1262,1),(1265,1),(1619,1),(1657,1),(1660,1),(1677,1),(1735,1),(1776,1),(1993,1)}
1463:{3,4,6,7}:{(1255,1),(1264,1),(1266,1),(1295,1),(1656,1),(1737,1)}
1464:{3,4,6,7}:{(1256,1),(1263,1),(1265,1),(1296,1),(1657,1),(1736,1)}
1465:{2,3,4}:{(1257,1),(1306,1),(1739,1)}
1466:{2,3,4}:{(1258,1),(1305,1),(1738,1)}
1467:{2,3,5,6}:{(1271,1),(1312,1),(1646,1),(1670,1),(1675,1)}
1468:{2,3,5,6}:{(1272,1),(1311,1),(1647,1),(1671,1),(1674,1)}
1469:{1,2,3,5,6}:{(1274,1),(1314,1),(1399,1),(1400,1),(1648,1),(1666,1),(1668,1)}
1470:{1,2,3,5,6}:{(1273,1),(1313,1),(1395,1),(1396,1),(1649,1),(1667,1),(1669,1)}
1471:{1,3,5}:{(1278,1),(1315,1)}
1472:{1,3,5}:{(1277,1),(1316,1)}
1473:{3,5,6}:{(1275,1),(1318,1),(1676,1)}
1474:{3,5,6}:{(1276,1),(1317,1),(1677,1)}
1475:{3,4,6}:{(1269,1),(1319,1),(1675,1),(1704,1)}
1476:{3,4,6}:{(1270,1),(1320,1),(1674,1),(1705,1)}
1477:{1,2,3,6,7}:{(1273,1),(1323,1),(1669,1),(1680,1)}
1478:{1,2,3,6,7}:{(1274,1),(1324,1),(1668,1),(1681,1)}
1479:{2,3,4,6,7}:{(1271,1),(1325,1),(1405,1),(1406,1),(1670,1),(1679,1),(1792,1),(1793,1),(2020,1),(2381,1),(2386,1)}
1480:{2,3,4,6,7}:{(1272,1),(1326,1),(1407,1),(1412,1),(1671,1),(1678,1),(1787,1),(1795,1),(2021,1),(2382,1),(2385,1)}
1481:{3,4,7}:{(1276,1),(1328,1),(1677,1),(1706,1)}
1482:{3,4,7}:{(1275,1),(1327,1),(1676,1),(1707,1)}
1483:{1,3,4,6}:{(1273,1),(1280,1),(1322,1),(1667,1)}
1484:{1,3,4,6}:{(1274,1),(1279,1),(1321,1),(1666,1)}
1485:{1,3,4,6,7}:{(1278,1),(1329,1),(1403,1),(1410,1),(1672,1),(1777,1),(1785,1),(2018,1),(2363,1)}
1486:{1,3,4,6,7}:{(1277,1),(1330,1),(1404,1),(1411,1),(1673,1),(1778,1),(1780,1),(2019,1),(2364,1)}
1487:{2,3,5,6,7}:{(1282,1),(1378,1),(1382,1),(1684,1),(1691,1),(1748,1),(2085,1)}
1488:{2,3,5,6,7}:{(1281,1),(1384,1),(1388,1),(1685,1),(1690,1),(1749,1),(2084,1)}
1489:{2,3,5,6}:{(1241,1),(1284,1),(1289,1),(1642,1),(1687,1),(1750,1)}
1490:{2,3,5,6}:{(1242,1),(1283,1),(1290,1),(1643,1),(1686,1),(1751,1)}
1491:{2,3,5,7}:{(1247,1),(1284,1),(1293,1),(1645,1),(1685,1),(1753,1),(2035,1)}
1492:{2,3,5,7}:{(1248,1),(1283,1),(1294,1),(1644,1),(1684,1),(1752,1),(2034,1)}
1493:{2,4,5,6}:{(1250,1),(1287,1),(1689,1),(1693,1)}
1494:{2,4,5,6}:{(1249,1),(1288,1),(1688,1),(1692,1)}
1495:{2,4,5,7}:{(1252,1),(1282,1),(1285,1),(1291,1),(1691,1)}
1496:{2,4,5,7}:{(1251,1),(1281,1),(1286,1),(1292,1),(1690,1)}
1497:{2,3,6,7}:{(1254,1),(1290,1),(1686,1),(1758,1)}
1498:{2,3,6,7}:{(1253,1),(1289,1),(1687,1),(1759,1)}
1499:{2,4,6,7}:{(1255,1),(1288,1),(1292,1),(1297,1),(1625,1),(1655,1),(1688,1)}
1500:{2,4,6,7}:{(1256,1),(1287,1),(1291,1),(1298,1),(1625,1),(1654,1),(1689,1)}
1501:{2,3,6}:{(1263,1),(1287,1),(1300,1),(1763,1)}
1502:{2,3,6}:{(1264,1),(1288,1),(1299,1),(1762,1)}
1503:{2,3,4,5,6}:{(1262,1),(1285,1),(1301,1),(1624,1),(1658,1),(1693,1),(1695,1),(1703,1),(1765,1),(1808,1),(1990,1),(1998,1),(2032,1),(2034,1),(2036,1),(2073,1),(2595,1)}
1504:{2,3,4,5,6}:{(1261,1),(1286,1),(1302,1),(1624,1),(1659,1),(1692,1),(1694,1),(1702,1),(1764,1),(1801,1),(1990,1),(1998,1),(2033,1),(2035,1),(2037,1),(2072,1),(2596,1)}
1505:{2,3,4,7}:{(1265,1),(1291,1),(1300,1),(1301,1),(1625,1),(1706,1),(1767,1),(1999,1)}
1506:{2,3,4,7}:{(1266,1),(1292,1),(1299,1),(1302,1),(1625,1),(1707,1),(1766,1),(1999,1)}
1507:{1,2,3,5,6}:{(1307,1),(1350,1),(1389,1),(1394,1),(1653,1),(1699,1),(1701,1),(1702,1),(1798,1),(1802,1)}
1508:{1,2,3,5,6}:{(1308,1),(1349,1),(1392,1),(1397,1),(1652,1),(1698,1),(1700,1),(1703,1),(1805,1),(1809,1)}
1509:{2,3,5,6}:{(1268,1),(1303,1),(1352,1),(1627,1),(1655,1),(1705,1),(2035,1)}
1510:{2,3,5,6}:{(1267,1),(1304,1),(1351,1),(1627,1),(1654,1),(1704,1),(2034,1)}
1511:{2,3,5,7}:{(1270,1),(1305,1),(1354,1),(1627,1),(1665,1),(1705,1),(1707,1),(1999,1),(2035,1)}
1512:{2,3,5,7}:{(1269,1),(1306,1),(1353,1),(1627,1),(1664,1),(1704,1),(1706,1),(1999,1),(2034,1)}
1513:{1,2,3,6,7}:{(1308,1),(1358,1),(1402,1),(1404,1),(1698,1),(1706,1),(2085,1),(2157,1)}
1514:{1,2,3,6,7}:{(1307,1),(1357,1),(1409,1),(1410,1),(1699,1),(1707,1),(2084,1),(2154,1)}
1515:{2,3,6}:{(1275,1),(1305,1),(1359,1),(1707,1)}
1516:{2,3,6}:{(1276,1),(1306,1),(1360,1),(1706,1)}
1517:{1,2,3,4,5,7}:{(1280,1),(1310,1),(1355,1),(1658,1),(1700,1),(1708,1),(1800,1),(1803,1),(2028,1),(2039,1),(2055,1),(2058,1),(2063,1),(2081,1),(2101,1),(2616,1)}
1518:{1,2,3,4,5,7}:{(1279,1),(1309,1),(1356,1),(1659,1),(1701,1),(1709,1),(1806,1),(1807,1),(2029,1),(2038,1),(2054,1),(2059,1),(2062,1),(2080,1),(2100,1),(2615,1)}
1519:{1,2,3,4,6}:{(1278,1),(1307,1),(1309,1),(1361,1),(1653,1),(1682,1),(1701,1),(1802,1),(1807,1),(2105,1),(2363,1)}
1520:{1,2,3,4,6}:{(1277,1),(1308,1),(1310,1),(1362,1),(1652,1),(1683,1),(1700,1),(1800,1),(1805,1),(2104,1),(2364,1)}
1521:{1,4,5,6}:{(1241,1),(1315,1),(1321,1),(1666,1),(1719,1),(1750,1)}
1522:{1,4,5,6}:{(1242,1),(1316,1),(1322,1),(1667,1),(1718,1),(1751,1)}
1523:{1,2,4,5,7}:{(1243,1),(1314,1),(1324,1),(1668,1),(1719,1)}
1524:{1,2,4,5,7}:{(1244,1),(1313,1),(1323,1),(1669,1),(1718,1)}
1525:{1,2,5,7}:{(1246,1),(1311,1),(1326,1),(1671,1),(1722,1)}
1526:{1,2,5,7}:{(1245,1),(1312,1),(1325,1),(1670,1),(1723,1)}
1527:{1,4,5,7}:{(1248,1),(1316,1),(1330,1),(1673,1),(1714,1),(1752,1),(2395,1)}
1528:{1,4,5,7}:{(1247,1),(1315,1),(1329,1),(1672,1),(1715,1),(1753,1),(2396,1)}
1529:{1,4,5,6}:{(1250,1),(1312,1),(1319,1),(1646,1),(1675,1),(1723,1),(1733,1)}
1530:{1,4,5,6}:{(1249,1),(1311,1),(1320,1),(1647,1),(1674,1),(1722,1),(1732,1)}
1531:{1,4,5,7}:{(1251,1),(1318,1),(1327,1),(1413,1),(1414,1),(1676,1),(1721,1),(1781,1)}
1532:{1,4,5,7}:{(1252,1),(1317,1),(1328,1),(1417,1),(1424,1),(1677,1),(1720,1),(1776,1)}
1533:{1,4,6,7}:{(1253,1),(1321,1),(1372,1),(1719,1)}
1534:{1,4,6,7}:{(1254,1),(1322,1),(1371,1),(1718,1)}
1535:{1,4,6,7}:{(1256,1),(1319,1),(1328,1),(1363,1),(1629,1),(1679,1),(1723,1),(2020,1),(2399,1)}
1536:{1,4,6,7}:{(1255,1),(1320,1),(1327,1),(1364,1),(1629,1),(1678,1),(1722,1),(2021,1),(2400,1)}
1537:{1,2,4,6}:{(1258,1),(1373,1),(1642,1),(1653,1),(1655,1),(1682,1),(1725,1),(1729,1),(1738,1)}
1538:{1,2,4,6}:{(1257,1),(1374,1),(1643,1),(1652,1),(1654,1),(1683,1),(1724,1),(1728,1),(1739,1)}
1539:{1,2,5,7}:{(1259,1),(1331,1),(1340,1),(1730,1),(1734,1)}
1540:{1,2,5,7}:{(1260,1),(1332,1),(1339,1),(1731,1),(1735,1)}
1541:{1,4,5,6}:{(1262,1),(1332,1),(1342,1),(1733,1),(1735,1),(1742,1)}
1542:{1,4,5,6}:{(1261,1),(1331,1),(1341,1),(1732,1),(1734,1),(1743,1)}
1543:{1,4,6}:{(1264,1),(1333,1),(1338,1),(1732,1),(1762,1)}
1544:{1,4,6}:{(1263,1),(1334,1),(1337,1),(1733,1),(1763,1)}
1545:{1,4,7}:{(1265,1),(1342,1),(1366,1)}
1546:{1,4,7}:{(1266,1),(1341,1),(1365,1)}
1547:{1,2,3,5,6}:{(1332,1),(1348,1),(1390,1),(1391,1),(1726,1),(1741,1),(1742,1)}
1548:{1,2,3,5,6}:{(1331,1),(1347,1),(1393,1),(1398,1),(1727,1),(1740,1),(1743,1)}
1549:{1,3,4,5,6,7}:{(1268,1),(1335,1),(1344,1),(1633,1),(1638,1),(1678,1),(1715,1),(1745,1),(1768,1),(1788,1),(1791,1),(2025,1),(2109,1),(2327,1),(2341,1),(2350,1),(2352,1),(2354,1),(2362,1),(2396,1),(2400,1),(2405,1),(2569,1),(2570,1),(2571,1),(2581,1),(2583,1),(2613,1),(2618,1),(2639,1),(2642,1),(2643,1),(2648,1),(2650,1)}
1550:{1,3,4,5,6,7}:{(1267,1),(1336,1),(1343,1),(1633,1),(1639,1),(1679,1),(1714,1),(1744,1),(1769,1),(1790,1),(1796,1),(2024,1),(2108,1),(2327,1),(2342,1),(2349,1),(2351,1),(2353,1),(2361,1),(2395,1),(2399,1),(2406,1),(2569,1),(2570,1),(2571,1),(2581,1),(2583,1),(2614,1),(2617,1),(2640,1),(2641,1),(2644,1),(2647,1),(2649,1)}
1551:{1,3,4,5,7}:{(1270,1),(1338,1),(1346,1),(1745,1),(1746,1),(1770,1),(2109,1),(2362,1),(2396,1),(2400,1)}
1552:{1,3,4,5,7}:{(1269,1),(1337,1),(1345,1),(1744,1),(1747,1),(1771,1),(2108,1),(2361,1),(2395,1),(2399,1)}
1553:{1,2,3,4,7}:{(1340,1),(1347,1),(1406,1),(1412,1),(1740,1),(1746,1)}
1554:{1,2,3,4,7}:{(1339,1),(1348,1),(1405,1),(1407,1),(1741,1),(1747,1)}
1555:{1,3,4,6}:{(1275,1),(1341,1),(1346,1),(1623,1),(1743,1),(1746,1),(1773,1)}
1556:{1,3,4,6}:{(1276,1),(1342,1),(1345,1),(1623,1),(1742,1),(1747,1),(1772,1)}
1557:{1,2,5,7}:{(1282,1),(1349,1),(1358,1),(1419,1),(1424,1)}
1558:{1,2,5,7}:{(1281,1),(1350,1),(1357,1),(1414,1),(1418,1)}
1559:{1,2,5}:{(1283,1),(1316,1),(1362,1)}
1560:{1,2,5}:{(1284,1),(1315,1),(1361,1)}
1561:{1,2,4,5,6}:{(1286,1),(1318,1),(1350,1),(1359,1),(1653,1),(1702,1),(1725,1),(1756,1),(1798,1),(1801,1),(2089,1),(2338,1)}
1562:{1,2,4,5,6}:{(1285,1),(1317,1),(1349,1),(1360,1),(1652,1),(1703,1),(1724,1),(1757,1),(1808,1),(1809,1),(2088,1),(2337,1)}
1563:{1,2,4,6}:{(1288,1),(1320,1),(1352,1),(1354,1),(1655,1),(1705,1),(1762,1)}
1564:{1,2,4,6}:{(1287,1),(1319,1),(1351,1),(1353,1),(1654,1),(1704,1),(1763,1)}
1565:{1,2,4,6}:{(1290,1),(1322,1),(1355,1),(1643,1),(1751,1)}
1566:{1,2,4,6}:{(1289,1),(1321,1),(1356,1),(1642,1),(1750,1)}
1567:{1,2,4,7}:{(1291,1),(1328,1),(1360,1),(1367,1),(1706,1)}
1568:{1,2,4,7}:{(1292,1),(1327,1),(1359,1),(1368,1),(1707,1)}
1569:{1,2,4,6,7}:{(1293,1),(1329,1),(1361,1),(1376,1),(1729,1),(1753,1),(2089,1),(2105,1)}
1570:{1,2,4,6,7}:{(1294,1),(1330,1),(1362,1),(1375,1),(1728,1),(1752,1),(2088,1),(2104,1)}
1571:{1,2,3,6,7}:{(1295,1),(1333,1),(1365,1),(1730,1),(1737,1),(1762,1),(2113,1)}
1572:{1,2,3,6,7}:{(1296,1),(1334,1),(1366,1),(1731,1),(1736,1),(1763,1),(2112,1)}
1573:{1,2,5,6,7}:{(1297,1),(1335,1),(1352,1),(1368,1),(1637,1),(1761,1),(1762,1),(2124,1),(2372,1)}
1574:{1,2,5,6,7}:{(1298,1),(1336,1),(1351,1),(1367,1),(1637,1),(1760,1),(1763,1),(2125,1),(2371,1)}
1575:{1,2,5,7}:{(1299,1),(1338,1),(1370,1),(1762,1),(1766,1)}
1576:{1,2,5,7}:{(1300,1),(1337,1),(1369,1),(1763,1),(1767,1)}
1577:{1,2,4,6}:{(1301,1),(1342,1),(1369,1),(1739,1),(1763,1),(1767,1),(1772,1)}
1578:{1,2,4,6}:{(1302,1),(1341,1),(1370,1),(1738,1),(1762,1),(1766,1),(1773,1)}
1579:{1,2,3,5,7}:{(1303,1),(1344,1),(1368,1),(1373,1),(1376,1),(1687,1),(1707,1),(1729,1),(1753,1),(2054,1)}
1580:{1,2,3,5,7}:{(1304,1),(1343,1),(1367,1),(1374,1),(1375,1),(1686,1),(1706,1),(1728,1),(1752,1),(2055,1)}
1581:{1,2,3,5}:{(1306,1),(1345,1),(1369,1),(1627,1),(1739,1),(1772,1)}
1582:{1,2,3,5}:{(1305,1),(1346,1),(1370,1),(1627,1),(1738,1),(1773,1)}
1583:{1,4,5,6}:{(1394,1),(1653,1),(1663,1),(1783,1),(1798,1)}
1584:{4,5,6}:{(1390,1),(1776,1)}
1585:{1,3,4,6}:{(1389,1),(1650,1),(1653,1),(1785,1),(1802,1)}
1586:{1,3,4}:{(1395,1)}
1587:{3,4,5,6}:{(1393,1),(1646,1),(1727,1),(1784,1)}
1588:{1,3,4}:{(1399,1)}
1589:{3,4,5,6}:{(1391,1),(1647,1),(1726,1),(1782,1)}
1590:{1,3,4,5}:{(1396,1),(1649,1)}
1591:{4,5,6}:{(1398,1),(1781,1)}
1592:{1,3,4,5}:{(1400,1),(1648,1)}
1593:{1,4,5,6}:{(1392,1),(1652,1),(1662,1),(1775,1),(1809,1)}
1594:{1,3,4,6}:{(1397,1),(1651,1),(1652,1),(1780,1),(1805,1)}
1595:{1,2,3,5,7}:{(1395,1),(1411,1),(1421,1),(1673,1),(1778,1),(1786,1),(2635,1)}
1596:{1,3,5,7}:{(1394,1),(1409,1),(1414,1),(1676,1),(1783,1),(2350,1)}
1597:{2,3,5,7}:{(1390,1),(1405,1),(1417,1),(1677,1),(1776,1),(1792,1)}
1598:{1,3,5,7}:{(1392,1),(1402,1),(1424,1),(1677,1),(1775,1),(2349,1)}
1599:{2,3,5,7}:{(1393,1),(1406,1),(1422,1),(1784,1),(1793,1),(1993,1)}
1600:{1,2,3,5,7}:{(1400,1),(1408,1),(1423,1),(1774,1),(1789,1)}
1601:{2,3,5,7}:{(1391,1),(1407,1),(1420,1),(1782,1),(1795,1),(1993,1)}
1602:{2,3,5,7}:{(1398,1),(1412,1),(1413,1),(1676,1),(1781,1),(1787,1)}
1603:{1,2,3,5,7}:{(1399,1),(1403,1),(1415,1),(1672,1),(1777,1),(1794,1),(2636,1)}
1604:{1,3,5,7}:{(1397,1),(1404,1),(1419,1),(1780,1)}
1605:{1,2,3,5,7}:{(1396,1),(1401,1),(1416,1),(1779,1),(1797,1)}
1606:{1,3,5,7}:{(1389,1),(1410,1),(1418,1),(1785,1)}
1607:{1,2,4,5,6}:{(1379,1),(1421,1),(1714,1),(1786,1),(2377,1),(2443,1)}
1608:{1,2,4,6,7}:{(1381,1),(1420,1),(1717,1),(1731,1),(1795,1),(2000,1),(2021,1),(2093,1)}
1609:{1,2,6,7}:{(1385,1),(1413,1),(1721,1),(1787,1)}
1610:{1,2,4,5,6}:{(1377,1),(1415,1),(1715,1),(1794,1),(2378,1),(2435,1)}
1611:{1,5,6,7}:{(1384,1),(1414,1),(1721,1),(2147,1)}
1612:{1,2,6,7}:{(1380,1),(1417,1),(1720,1),(1792,1)}
1613:{1,4,5,6,7}:{(1378,1),(1419,1),(1714,1),(1748,1),(1796,1),(2024,1),(2437,1)}
1614:{1,2,4,5,6}:{(1383,1),(1423,1),(1789,1)}
1615:{1,5,6,7}:{(1382,1),(1424,1),(1720,1),(2140,1)}
1616:{1,4,5,6,7}:{(1388,1),(1418,1),(1715,1),(1749,1),(1791,1),(2025,1),(2438,1)}
1617:{1,2,4,5,6}:{(1386,1),(1416,1),(1797,1)}
1618:{1,2,4,6,7}:{(1387,1),(1422,1),(1716,1),(1730,1),(1793,1),(2000,1),(2020,1),(2092,1)}
1619:{4,5,7}:{(1425,1),(1426,1),(1427,1),(1810,1)}
1620:{2,3,5,6,7}:{(1427,1),(1445,1),(1446,1),(1457,1),(1458,1),(1810,1),(1821,1),(1850,1),(1851,1),(2163,1)}
1621:{3,4,5,6}:{(1425,1),(1428,1),(1459,1),(1460,1),(1812,1),(1813,1),(1816,1),(1822,1),(1848,1),(1849,1),(2161,1),(2679,1),(2840,1)}
1622:{3,4,6,7}:{(1426,1),(1428,1),(1431,1),(1810,1),(1812,1),(1814,1),(1823,1),(1848,1),(1849,1),(2161,1),(2163,1),(2202,1),(2203,1),(2681,1)}
1623:{3,4,6}:{(1429,1),(1433,1),(1813,1),(1814,1),(1818,1)}
1624:{2,4,5,6}:{(1425,1),(1430,1),(1815,1),(1816,1),(2840,1)}
1625:{2,4,7}:{(1426,1),(1430,1),(1432,1),(1811,1)}
1626:{2,3,6}:{(1428,1),(1430,1),(1432,1),(1828,1)}
1627:{2,3,5}:{(1429,1),(1439,1),(1811,1),(1818,1)}
1628:{1,4,5,6}:{(1425,1),(1433,1),(1434,1),(1813,1),(1819,1)}
1629:{1,4,7}:{(1426,1),(1433,1),(1440,1),(1814,1)}
1630:{1,2,5,7}:{(1427,1),(1434,1),(1437,1),(1819,1),(1924,1),(1925,1)}
1631:{1,4,6}:{(1428,1),(1435,1),(1436,1),(1828,1)}
1632:{1,2,3,5,6}:{(1434,1),(1438,1),(1467,1),(1468,1),(1813,1),(1820,1),(1824,1),(1934,1),(1935,1),(2169,1),(2290,1),(2291,1),(2679,1),(2853,1)}
1633:{1,3,4,5,7}:{(1429,1),(1436,1),(1814,1),(1825,1),(1829,1),(2174,1),(2448,1),(2459,1),(2460,1)}
1634:{1,2,3,4,6,7}:{(1437,1),(1438,1),(1479,1),(1480,1),(1553,1),(1554,1),(1814,1),(1824,1),(1932,1),(1933,1),(1940,1),(1941,1),(2163,1),(2171,1),(2181,1),(2449,1),(2455,1),(2456,1),(2460,1),(2545,1),(2546,1),(2547,1),(2548,1),(2697,1)}
1635:{1,2,4,6}:{(1430,1),(1433,1),(1439,1),(1811,1),(1818,1),(1827,1),(1828,1)}
1636:{1,2,3,5,6,7}:{(1431,1),(1435,1),(1440,1),(1571,1),(1572,1),(1821,1),(1823,1),(1828,1),(1924,1),(1925,1),(1954,1),(1955,1),(2163,1),(2174,1),(2179,1),(2180,1),(2181,1),(2224,1),(2225,1),(2276,1),(2277,1),(2294,1),(2295,1),(2547,1),(2548,1)}
1637:{1,2,5,7}:{(1432,1),(1436,1),(1439,1),(1827,1),(1828,1)}
1638:{3,4,5,6,7}:{(1444,1),(1448,1),(1880,1),(1912,1),(2477,1),(2487,1)}
1639:{3,4,5,6,7}:{(1443,1),(1447,1),(1881,1),(1913,1),(2478,1),(2488,1)}
1640:{4,5,6,7}:{(1445,1),(1450,1),(1452,1),(1810,1),(1850,1)}
1641:{4,5,6,7}:{(1446,1),(1449,1),(1451,1),(1810,1),(1851,1)}
1642:{2,4,6}:{(1453,1),(1489,1),(1835,1)}
1643:{2,4,6}:{(1454,1),(1490,1),(1834,1)}
1644:{2,4,5,7}:{(1454,1),(1456,1),(1492,1),(1831,1),(1833,1),(1834,1)}
1645:{2,4,5,7}:{(1453,1),(1455,1),(1491,1),(1830,1),(1832,1),(1835,1)}
1646:{4,5,6}:{(1467,1),(1839,1)}
1647:{4,5,6}:{(1468,1),(1838,1)}
1648:{1,3,4,6}:{(1469,1),(1588,1),(1592,1),(1836,1)}
1649:{1,3,4,6}:{(1470,1),(1586,1),(1590,1),(1837,1)}
1650:{1,3,4,5}:{(1471,1),(1585,1),(1588,1),(1847,1),(1888,1),(2492,1),(2706,1)}
1651:{1,3,4,5}:{(1472,1),(1586,1),(1594,1),(1846,1),(1889,1),(2491,1),(2705,1)}
1652:{1,4,6}:{(1508,1),(1844,1),(1846,1),(1861,1)}
1653:{1,4,6}:{(1507,1),(1845,1),(1847,1),(1860,1)}
1654:{2,4,6}:{(1456,1),(1510,1),(1811,1),(1831,1)}
1655:{2,4,6}:{(1455,1),(1509,1),(1811,1),(1830,1)}
1656:{3,5,7}:{(1451,1),(1460,1),(1463,1),(1925,1)}
1657:{3,5,7}:{(1452,1),(1459,1),(1464,1),(1924,1)}
1658:{2,3,4,5}:{(1454,1),(1465,1),(1852,1),(1877,1),(1926,1)}
1659:{2,3,4,5}:{(1453,1),(1466,1),(1853,1),(1876,1),(1927,1)}
1660:{3,4,6,7}:{(1450,1),(1457,1),(1462,1),(1810,1),(1850,1),(1873,1),(1929,1),(1968,1),(2163,1)}
1661:{3,4,6,7}:{(1449,1),(1458,1),(1461,1),(1810,1),(1851,1),(1872,1),(1928,1),(1973,1),(2163,1)}
1662:{3,4,5,6}:{(1474,1),(1584,1),(1593,1),(1859,1),(1861,1),(1897,1),(2486,1),(2704,1)}
1663:{3,4,5,6}:{(1473,1),(1583,1),(1591,1),(1858,1),(1860,1),(1896,1),(2485,1),(2703,1)}
1664:{2,3,4,7}:{(1456,1),(1465,1),(1512,1),(1811,1),(1862,1),(1930,1),(2202,1)}
1665:{2,3,4,7}:{(1455,1),(1466,1),(1511,1),(1811,1),(1863,1),(1931,1),(2203,1)}
1666:{1,3,5,6}:{(1471,1),(1484,1),(1521,1),(1870,1)}
1667:{1,3,5,6}:{(1472,1),(1483,1),(1522,1),(1871,1)}
1668:{1,2,3,5,7}:{(1469,1),(1478,1),(1523,1),(1836,1),(1870,1)}
1669:{1,2,3,5,7}:{(1470,1),(1477,1),(1524,1),(1837,1),(1871,1)}
1670:{2,3,5,7}:{(1467,1),(1479,1),(1526,1),(1839,1),(1875,1)}
1671:{2,3,5,7}:{(1468,1),(1480,1),(1525,1),(1838,1),(1874,1)}
1672:{1,3,5,7}:{(1471,1),(1485,1),(1528,1),(1867,1),(2492,1)}
1673:{1,3,5,7}:{(1472,1),(1486,1),(1527,1),(1866,1),(2491,1)}
1674:{3,5,6}:{(1476,1),(1530,1),(1874,1)}
1675:{3,5,6}:{(1475,1),(1529,1),(1875,1)}
1676:{3,5,7}:{(1473,1),(1482,1),(1531,1),(1872,1)}
1677:{3,5,7}:{(1474,1),(1481,1),(1532,1),(1873,1)}
1678:{3,4,6,7}:{(1476,1),(1482,1),(1536,1),(1814,1),(1872,1),(1874,1),(1908,1),(2163,1),(2203,1)}
1679:{3,4,6,7}:{(1475,1),(1481,1),(1535,1),(1814,1),(1873,1),(1875,1),(1909,1),(2163,1),(2202,1)}
1680:{1,3,4,6,7}:{(1477,1),(1483,1),(1534,1),(1837,1),(1871,1)}
1681:{1,3,4,6,7}:{(1478,1),(1484,1),(1533,1),(1836,1),(1870,1)}
1682:{2,3,4,6}:{(1466,1),(1515,1),(1537,1),(1860,1),(1876,1),(1879,1),(2221,1)}
1683:{2,3,4,6}:{(1465,1),(1516,1),(1538,1),(1861,1),(1877,1),(1878,1),(2220,1)}
1684:{2,3,5,6}:{(1443,1),(1492,1),(1833,1),(1945,1),(2220,1)}
1685:{2,3,5,6}:{(1444,1),(1491,1),(1832,1),(1944,1),(2221,1)}
1686:{2,3,5,7}:{(1447,1),(1490,1),(1497,1),(1834,1),(1946,1)}
1687:{2,3,5,7}:{(1448,1),(1489,1),(1498,1),(1835,1),(1947,1)}
1688:{2,4,5,7}:{(1451,1),(1494,1),(1499,1),(1830,1),(1893,1)}
1689:{2,4,5,7}:{(1452,1),(1493,1),(1500,1),(1831,1),(1892,1)}
1690:{2,4,6,7}:{(1449,1),(1488,1),(1496,1),(1832,1)}
1691:{2,4,6,7}:{(1450,1),(1487,1),(1495,1),(1833,1)}
1692:{2,3,5,6}:{(1460,1),(1494,1),(1502,1),(1848,1),(1893,1),(1954,1)}
1693:{2,3,5,6}:{(1459,1),(1493,1),(1501,1),(1849,1),(1892,1),(1955,1)}
1694:{2,3,4,5,7}:{(1461,1),(1496,1),(1504,1),(1506,1),(1815,1),(1893,1),(1895,1),(1907,1),(1957,1),(1988,1),(2168,1),(2203,1),(2244,1),(2479,1)}
1695:{2,3,4,5,7}:{(1462,1),(1495,1),(1503,1),(1505,1),(1815,1),(1892,1),(1894,1),(1906,1),(1956,1),(1978,1),(2168,1),(2202,1),(2245,1),(2480,1)}
1696:{2,3,4,6,7}:{(1463,1),(1499,1),(1502,1),(1506,1),(1848,1),(1863,1),(1893,1),(1908,1),(1959,1),(2203,1)}
1697:{2,3,4,6,7}:{(1464,1),(1500,1),(1501,1),(1505,1),(1849,1),(1862,1),(1892,1),(1909,1),(1958,1),(2202,1)}
1698:{1,2,3,5,7}:{(1508,1),(1513,1),(1557,1),(1598,1),(1604,1),(1844,1),(1906,1),(1987,1),(1989,1)}
1699:{1,2,3,5,7}:{(1507,1),(1514,1),(1558,1),(1596,1),(1606,1),(1845,1),(1907,1),(1979,1),(1980,1)}
1700:{1,2,3,5}:{(1472,1),(1520,1),(1559,1),(1846,1),(1877,1),(2265,1),(2491,1)}
1701:{1,2,3,5}:{(1471,1),(1519,1),(1560,1),(1847,1),(1876,1),(2264,1),(2492,1)}
1702:{2,3,5,6}:{(1473,1),(1515,1),(1561,1),(1860,1),(1876,1),(1907,1),(2221,1),(2485,1)}
1703:{2,3,5,6}:{(1474,1),(1516,1),(1562,1),(1861,1),(1877,1),(1906,1),(2220,1),(2486,1)}
1704:{2,3,6}:{(1475,1),(1512,1),(1564,1)}
1705:{2,3,6}:{(1476,1),(1511,1),(1563,1)}
1706:{2,3,7}:{(1481,1),(1516,1),(1567,1)}
1707:{2,3,7}:{(1482,1),(1515,1),(1568,1)}
1708:{1,2,3,4,6}:{(1483,1),(1517,1),(1565,1),(1852,1),(1900,1),(2197,1),(2220,1),(2228,1),(2266,1),(2717,1)}
1709:{1,2,3,4,6}:{(1484,1),(1518,1),(1566,1),(1853,1),(1901,1),(2196,1),(2221,1),(2229,1),(2267,1),(2718,1)}
1710:{1,2,3,4,6,7}:{(1485,1),(1514,1),(1519,1),(1569,1),(1845,1),(1879,1),(1903,1),(1980,1),(1981,1),(2196,1),(2217,1),(2221,1),(2229,1),(2235,1)}
1711:{1,2,3,4,6,7}:{(1486,1),(1513,1),(1520,1),(1570,1),(1844,1),(1878,1),(1902,1),(1986,1),(1987,1),(2197,1),(2216,1),(2220,1),(2228,1),(2234,1)}
1712:{1,2,4,5,6,7}:{(1441,1),(1523,1),(1610,1),(1614,1),(1864,1),(1912,1),(2472,1),(2508,1),(2755,1),(2996,1)}
1713:{1,2,4,5,6,7}:{(1442,1),(1524,1),(1607,1),(1617,1),(1865,1),(1913,1),(2471,1),(2507,1),(2756,1),(2997,1)}
1714:{1,4,5,6}:{(1443,1),(1527,1),(1866,1),(1945,1),(2197,1)}
1715:{1,4,5,6}:{(1444,1),(1528,1),(1867,1),(1944,1),(2196,1)}
1716:{1,2,5,6,7}:{(1445,1),(1526,1),(1612,1),(1618,1),(1869,1),(1914,1),(2257,1),(2548,1)}
1717:{1,2,5,6,7}:{(1446,1),(1525,1),(1608,1),(1609,1),(1868,1),(1915,1),(2256,1),(2547,1)}
1718:{1,4,5,7}:{(1447,1),(1522,1),(1534,1),(1871,1),(1946,1)}
1719:{1,4,5,7}:{(1448,1),(1521,1),(1533,1),(1870,1),(1947,1)}
1720:{1,4,6,7}:{(1450,1),(1532,1),(1612,1),(1615,1),(1873,1),(1968,1)}
1721:{1,4,6,7}:{(1449,1),(1531,1),(1609,1),(1611,1),(1872,1),(1973,1)}
1722:{1,4,5,7}:{(1451,1),(1525,1),(1530,1),(1536,1),(1838,1),(1874,1),(1925,1)}
1723:{1,4,5,7}:{(1452,1),(1526,1),(1529,1),(1535,1),(1839,1),(1875,1),(1924,1)}
1724:{1,2,4,5}:{(1454,1),(1538,1),(1559,1),(1831,1),(1846,1),(1877,1),(2265,1)}
1725:{1,2,4,5}:{(1453,1),(1537,1),(1560,1),(1830,1),(1847,1),(1876,1),(2264,1)}
1726:{1,4,5,6}:{(1547,1),(1584,1),(1589,1),(1921,1)}
1727:{1,4,5,6}:{(1548,1),(1587,1),(1591,1),(1920,1)}
1728:{1,2,4,7}:{(1456,1),(1538,1),(1580,1),(1834,1),(1844,1),(1878,1)}
1729:{1,2,4,7}:{(1455,1),(1537,1),(1579,1),(1835,1),(1845,1),(1879,1)}
1730:{1,2,6,7}:{(1458,1),(1539,1),(1928,1)}
1731:{1,2,6,7}:{(1457,1),(1540,1),(1929,1)}
1732:{1,5,6}:{(1460,1),(1543,1),(1925,1)}
1733:{1,5,6}:{(1459,1),(1544,1),(1924,1)}
1734:{1,4,5,7}:{(1461,1),(1539,1),(1542,1),(1546,1),(1925,1),(1928,1),(1936,1)}
1735:{1,4,5,7}:{(1462,1),(1540,1),(1541,1),(1545,1),(1924,1),(1929,1),(1937,1)}
1736:{1,4,6,7}:{(1464,1),(1544,1),(1545,1),(1572,1),(1924,1)}
1737:{1,4,6,7}:{(1463,1),(1543,1),(1546,1),(1571,1),(1925,1)}
1738:{1,2,4}:{(1466,1),(1582,1),(1811,1)}
1739:{1,2,4}:{(1465,1),(1581,1),(1811,1)}
1740:{1,2,3,5,7}:{(1539,1),(1548,1),(1553,1),(1599,1),(1602,1),(1920,1),(1932,1),(1936,1)}
1741:{1,2,3,5,7}:{(1540,1),(1547,1),(1554,1),(1597,1),(1601,1),(1921,1),(1933,1),(1937,1)}
1742:{1,3,5,6}:{(1474,1),(1541,1),(1556,1),(1813,1),(1937,1)}
1743:{1,3,5,6}:{(1473,1),(1542,1),(1555,1),(1813,1),(1936,1)}
1744:{1,3,4,6}:{(1475,1),(1544,1),(1552,1),(1934,1),(1960,1),(2224,1),(2262,1)}
1745:{1,3,4,6}:{(1476,1),(1543,1),(1551,1),(1935,1),(1961,1),(2225,1),(2263,1)}
1746:{1,3,4,7}:{(1482,1),(1546,1),(1555,1),(1814,1),(1936,1),(1964,1)}
1747:{1,3,4,7}:{(1481,1),(1545,1),(1556,1),(1814,1),(1937,1),(1965,1)}
1748:{1,2,5,6,7}:{(1487,1),(1557,1),(1613,1),(1615,1),(1945,1),(1950,1),(2309,1)}
1749:{1,2,5,6,7}:{(1488,1),(1558,1),(1611,1),(1616,1),(1944,1),(1951,1),(2305,1)}
1750:{1,2,5,6}:{(1489,1),(1521,1),(1560,1),(1566,1),(1947,1)}
1751:{1,2,5,6}:{(1490,1),(1522,1),(1559,1),(1565,1),(1946,1)}
1752:{1,2,5,7}:{(1492,1),(1527,1),(1559,1),(1570,1),(1945,1),(2265,1)}
1753:{1,2,5,7}:{(1491,1),(1528,1),(1560,1),(1569,1),(1944,1),(2264,1)}
1754:{1,2,4,5,6}:{(1493,1),(1529,1),(1564,1),(1831,1),(1885,1),(1905,1),(1949,1),(1955,1),(2262,1),(2265,1),(2291,1)}
1755:{1,2,4,5,6}:{(1494,1),(1530,1),(1563,1),(1830,1),(1884,1),(1904,1),(1948,1),(1954,1),(2263,1),(2264,1),(2290,1)}
1756:{1,2,4,5,7}:{(1496,1),(1531,1),(1558,1),(1561,1),(1568,1),(1845,1),(1907,1),(1951,1),(1979,1),(1988,1),(2188,1)}
1757:{1,2,4,5,7}:{(1495,1),(1532,1),(1557,1),(1562,1),(1567,1),(1844,1),(1906,1),(1950,1),(1978,1),(1989,1),(2189,1)}
1758:{1,2,4,6,7}:{(1497,1),(1534,1),(1565,1),(1834,1),(1946,1)}
1759:{1,2,4,6,7}:{(1498,1),(1533,1),(1566,1),(1835,1),(1947,1)}
1760:{1,2,4,6,7}:{(1500,1),(1535,1),(1564,1),(1567,1),(1574,1),(1827,1),(1909,1),(1949,1),(2230,1),(2548,1)}
1761:{1,2,4,6,7}:{(1499,1),(1536,1),(1563,1),(1568,1),(1573,1),(1827,1),(1908,1),(1948,1),(2231,1),(2547,1)}
1762:{1,2,6}:{(1502,1),(1543,1),(1575,1)}
1763:{1,2,6}:{(1501,1),(1544,1),(1576,1)}
1764:{1,2,4,5,6}:{(1504,1),(1542,1),(1578,1),(1927,1),(1954,1),(1957,1),(1962,1),(2263,1),(2264,1),(2267,1),(2290,1),(2737,1)}
1765:{1,2,4,5,6}:{(1503,1),(1541,1),(1577,1),(1926,1),(1955,1),(1956,1),(1963,1),(2262,1),(2265,1),(2266,1),(2291,1),(2738,1)}
1766:{1,2,4,7}:{(1506,1),(1546,1),(1575,1),(1578,1),(1964,1)}
1767:{1,2,4,7}:{(1505,1),(1545,1),(1576,1),(1577,1),(1965,1)}
1768:{1,2,3,5,6,7}:{(1509,1),(1549,1),(1573,1),(1579,1),(1829,1),(1880,1),(1908,1),(1922,1),(1944,1),(1961,1),(2218,1),(2221,1),(2264,1),(2295,1),(2450,1),(2451,1),(2461,1),(2513,1),(2530,1),(2540,1),(2541,1),(2547,1),(2735,1),(2758,1)}
1769:{1,2,3,5,6,7}:{(1510,1),(1550,1),(1574,1),(1580,1),(1829,1),(1881,1),(1909,1),(1923,1),(1945,1),(1960,1),(2219,1),(2220,1),(2265,1),(2294,1),(2450,1),(2451,1),(2461,1),(2514,1),(2529,1),(2539,1),(2542,1),(2548,1),(2736,1),(2757,1)}
1770:{1,2,3,5,7}:{(1511,1),(1551,1),(1575,1),(1582,1),(1931,1),(1961,1),(1964,1),(2264,1)}
1771:{1,2,3,5,7}:{(1512,1),(1552,1),(1576,1),(1581,1),(1930,1),(1960,1),(1965,1),(2265,1)}
1772:{1,2,3,6}:{(1516,1),(1556,1),(1577,1),(1581,1),(1818,1),(1965,1)}
1773:{1,2,3,6}:{(1515,1),(1555,1),(1578,1),(1582,1),(1818,1),(1964,1)}
1774:{1,3,4,5,7}:{(1592,1),(1600,1),(1836,1),(1975,1)}
1775:{1,4,5,7}:{(1593,1),(1598,1),(1844,1),(1859,1),(1976,1),(1989,1)}
1776:{4,5,7}:{(1584,1),(1597,1),(1968,1)}
1777:{1,3,4,7}:{(1588,1),(1603,1),(1970,1),(2706,1)}
1778:{1,3,4,7}:{(1586,1),(1595,1),(1966,1),(2705,1)}
1779:{1,3,4,5,7}:{(1590,1),(1605,1),(1837,1),(1967,1)}
1780:{1,3,4,7}:{(1594,1),(1604,1),(1844,1),(1987,1)}
1781:{4,5,7}:{(1591,1),(1602,1),(1973,1)}
1782:{3,4,5,7}:{(1589,1),(1601,1),(1838,1),(1921,1),(1969,1)}
1783:{1,4,5,7}:{(1583,1),(1596,1),(1845,1),(1858,1),(1977,1),(1979,1)}
1784:{3,4,5,7}:{(1587,1),(1599,1),(1839,1),(1920,1),(1971,1)}
1785:{1,3,4,7}:{(1585,1),(1606,1),(1845,1),(1980,1)}
1786:{1,2,3,5,6}:{(1595,1),(1607,1),(1866,1),(1966,1),(2228,1),(2308,1)}
1787:{2,3,6,7}:{(1602,1),(1609,1),(1872,1),(1973,1)}
1788:{1,3,5,6,7}:{(1596,1),(1611,1),(1872,1),(1977,1),(2206,1)}
1789:{1,2,3,5,6}:{(1600,1),(1614,1),(1975,1)}
1790:{1,3,5,6,7}:{(1598,1),(1615,1),(1873,1),(1976,1),(2207,1)}
1791:{1,3,5,6,7}:{(1606,1),(1616,1),(1867,1),(1974,1),(2559,1)}
1792:{2,3,6,7}:{(1597,1),(1612,1),(1873,1),(1968,1)}
1793:{2,3,6,7}:{(1599,1),(1618,1),(1971,1),(2163,1)}
1794:{1,2,3,5,6}:{(1603,1),(1610,1),(1867,1),(1970,1),(2229,1),(2300,1)}
1795:{2,3,6,7}:{(1601,1),(1608,1),(1969,1),(2163,1)}
1796:{1,3,5,6,7}:{(1604,1),(1613,1),(1866,1),(1972,1),(2564,1)}
1797:{1,2,3,5,6}:{(1605,1),(1617,1),(1967,1)}
1798:{1,2,5,6}:{(1583,1),(1890,1),(1896,1),(1979,1)}
1799:{2,3,4,5,6}:{(1587,1),(1885,1),(1952,1),(1985,1),(2169,1),(2840,1),(2866,1)}
1800:{1,2,3,4}:{(1586,1),(1889,1),(2705,1)}
1801:{2,4,5,6}:{(1591,1),(1896,1),(1988,1),(2703,1)}
1802:{1,2,3,6}:{(1585,1),(1888,1),(1890,1),(1980,1)}
1803:{1,2,3,4,5}:{(1590,1),(1887,1),(2308,1),(2856,1)}
1804:{2,3,4,5,6}:{(1589,1),(1884,1),(1953,1),(1984,1),(2169,1),(2840,1),(2867,1)}
1805:{1,2,3,6}:{(1594,1),(1889,1),(1891,1),(1987,1)}
1806:{1,2,3,4,5}:{(1592,1),(1886,1),(2300,1),(2857,1)}
1807:{1,2,3,4}:{(1588,1),(1888,1),(2706,1)}
1808:{2,4,5,6}:{(1584,1),(1897,1),(1978,1),(2704,1)}
1809:{1,2,5,6}:{(1593,1),(1891,1),(1897,1),(1989,1)}
1810:{4,6,7}:{(1619,1),(1620,1)}
1811:{2,4}:{(1627,1)}
1812:{3,4,5,7}:{(1619,1),(1621,1),(1622,1),(1656,1),(1657,1),(1993,1),(1997,1),(2003,1),(2313,1),(2314,1),(2569,1),(2770,1)}
1813:{3,5,6}:{(1623,1),(1628,1),(1993,1)}
1814:{3,4,7}:{(1623,1),(1629,1),(1993,1),(1999,1)}
1815:{2,4,5,7}:{(1619,1),(1624,1),(1625,1),(1990,1),(1995,1),(1997,1),(2770,1)}
1816:{2,3,5,6}:{(1621,1),(1624,1),(1626,1),(1996,1),(1997,1),(2009,1)}
1817:{2,3,4,6,7}:{(1622,1),(1625,1),(1626,1),(1992,1),(1995,1),(1996,1),(1997,1),(1999,1),(2010,1),(2314,1),(2320,1),(2381,1),(2382,1),(2385,1),(2386,1)}
1818:{2,3,6}:{(1623,1),(1627,1),(1635,1),(1999,1)}
1819:{1,4,5,7}:{(1619,1),(1628,1),(1629,1),(1630,1),(1993,1),(2000,1)}
1820:{1,4,5,6}:{(1632,1),(1646,1),(1647,1),(1994,1),(2001,1),(2325,1)}
1821:{1,2,5,6,7}:{(1620,1),(1630,1),(1730,1),(1731,1),(2000,1),(2096,1),(2097,1)}
1822:{1,4,5,6}:{(1621,1),(1631,1),(1732,1),(1733,1),(2003,1),(2005,1),(2009,1),(2094,1),(2095,1),(2325,1)}
1823:{1,4,6,7}:{(1622,1),(1629,1),(1631,1),(1636,1),(2003,1),(2094,1),(2095,1),(2325,1),(2399,1),(2400,1)}
1824:{1,2,3,5,7}:{(1630,1),(1632,1),(1634,1),(1670,1),(1671,1),(1993,1),(2001,1),(2108,1),(2109,1),(2321,1),(2425,1),(2426,1),(2569,1),(2783,1)}
1825:{1,3,4,6}:{(1623,1),(1631,1),(1633,1),(2005,1),(2011,1),(2325,1),(2571,1)}
1826:{1,2,4,5,6}:{(1624,1),(1628,1),(1635,1),(1990,1),(1998,1),(2007,1),(2009,1),(2323,1),(2325,1),(2326,1),(2781,1)}
1827:{1,2,4,7}:{(1625,1),(1629,1),(1635,1),(1637,1),(1999,1)}
1828:{1,2,6}:{(1626,1),(1631,1),(1637,1)}
1829:{1,2,3,5,7}:{(1627,1),(1633,1),(1637,1),(1999,1),(2002,1),(2011,1),(2316,1),(2326,1)}
1830:{2,4,5}:{(1655,1),(2035,1)}
1831:{2,4,5}:{(1654,1),(2034,1)}
1832:{2,4,6}:{(1645,1),(1685,1)}
1833:{2,4,6}:{(1644,1),(1684,1)}
1834:{2,4,7}:{(1643,1),(1686,1)}
1835:{2,4,7}:{(1642,1),(1687,1)}
1836:{1,3,4,7}:{(1648,1),(1668,1)}
1837:{1,3,4,7}:{(1649,1),(1669,1)}
1838:{4,5,7}:{(1647,1),(1671,1),(2021,1)}
1839:{4,5,7}:{(1646,1),(1670,1),(2020,1)}
1840:{1,3,4,5,7}:{(1650,1),(1672,1),(1777,1),(1785,1),(2018,1),(2029,1),(2062,1),(2142,1)}
1841:{1,3,4,5,7}:{(1651,1),(1673,1),(1778,1),(1780,1),(2019,1),(2028,1),(2063,1),(2137,1)}
1842:{1,3,4,5,6}:{(1648,1),(1650,1),(1666,1),(2018,1),(2022,1),(2026,1),(2065,1),(2142,1),(2613,1),(2791,1)}
1843:{1,3,4,5,6}:{(1649,1),(1651,1),(1667,1),(2019,1),(2023,1),(2027,1),(2064,1),(2137,1),(2614,1),(2790,1)}
1844:{1,4,7}:{(1652,1),(1698,1),(2047,1)}
1845:{1,4,7}:{(1653,1),(1699,1),(2046,1)}
1846:{1,4,5}:{(1652,1),(1700,1),(2044,1)}
1847:{1,4,5}:{(1653,1),(1701,1),(2045,1)}
1848:{3,4,6}:{(1692,1),(2031,1),(2094,1)}
1849:{3,4,6}:{(1693,1),(2030,1),(2095,1)}
1850:{3,5,6,7}:{(1640,1),(1657,1),(1660,1),(2097,1),(2140,1)}
1851:{3,5,6,7}:{(1641,1),(1656,1),(1661,1),(2096,1),(2147,1)}
1852:{2,3,4,6}:{(1643,1),(1658,1),(2039,1),(2053,1),(2098,1)}
1853:{2,3,4,6}:{(1642,1),(1659,1),(2038,1),(2052,1),(2099,1)}
1854:{2,3,4,5,7}:{(1645,1),(1659,1),(1665,1),(1990,1),(2035,1),(2037,1),(2038,1),(2054,1),(2100,1),(2312,1),(2316,1),(2341,1),(2347,1)}
1855:{2,3,4,5,7}:{(1644,1),(1658,1),(1664,1),(1990,1),(2034,1),(2036,1),(2039,1),(2055,1),(2101,1),(2312,1),(2316,1),(2342,1),(2348,1)}
1856:{3,4,5,6}:{(1647,1),(1674,1),(2033,1),(2042,1),(2072,1),(2103,1)}
1857:{3,4,5,6}:{(1646,1),(1675,1),(2032,1),(2043,1),(2073,1),(2102,1)}
1858:{3,4,5,7}:{(1663,1),(1676,1),(1781,1),(1783,1),(2040,1),(2046,1),(2074,1),(2350,1),(2598,1)}
1859:{3,4,5,7}:{(1662,1),(1677,1),(1775,1),(1776,1),(2041,1),(2047,1),(2075,1),(2349,1),(2597,1)}
1860:{3,4,6}:{(1653,1),(1702,1),(2045,1),(2046,1)}
1861:{3,4,6}:{(1652,1),(1703,1),(2044,1),(2047,1)}
1862:{2,3,4,6}:{(1654,1),(1664,1),(1704,1),(2032,1),(2034,1),(2104,1)}
1863:{2,3,4,6}:{(1655,1),(1665,1),(1705,1),(2033,1),(2035,1),(2105,1)}
1864:{1,2,3,5,6,7}:{(1668,1),(1712,1),(1789,1),(1794,1),(2016,1),(2048,1),(2365,1),(2375,1),(2811,1),(2984,1)}
1865:{1,2,3,5,6,7}:{(1669,1),(1713,1),(1786,1),(1797,1),(2017,1),(2049,1),(2366,1),(2376,1),(2810,1),(2985,1)}
1866:{1,3,5,6}:{(1673,1),(1714,1),(2019,1)}
1867:{1,3,5,6}:{(1672,1),(1715,1),(2018,1)}
1868:{2,3,5,6,7}:{(1671,1),(1717,1),(1787,1),(1795,1),(2021,1),(2051,1),(2141,1),(2147,1),(2372,1),(2385,1)}
1869:{2,3,5,6,7}:{(1670,1),(1716,1),(1792,1),(1793,1),(2020,1),(2050,1),(2136,1),(2140,1),(2371,1),(2386,1)}
1870:{1,3,5,7}:{(1666,1),(1681,1),(1719,1)}
1871:{1,3,5,7}:{(1667,1),(1680,1),(1718,1)}
1872:{3,6,7}:{(1676,1),(1721,1)}
1873:{3,6,7}:{(1677,1),(1720,1)}
1874:{3,5,7}:{(1674,1),(1678,1),(1722,1)}
1875:{3,5,7}:{(1675,1),(1679,1),(1723,1)}
1876:{2,3,5}:{(1682,1),(1725,1),(2045,1)}
1877:{2,3,5}:{(1683,1),(1724,1),(2044,1)}
1878:{2,3,4,7}:{(1683,1),(1706,1),(1728,1),(2047,1),(2055,1)}
1879:{2,3,4,7}:{(1682,1),(1707,1),(1729,1),(2046,1),(2054,1)}
1880:{2,3,5,6,7}:{(1638,1),(1685,1),(1687,1),(2015,1),(2119,1),(2347,1),(2360,1)}
1881:{2,3,5,6,7}:{(1639,1),(1684,1),(1686,1),(2014,1),(2118,1),(2348,1),(2359,1)}
1882:{2,4,5,6,7}:{(1640,1),(1689,1),(1691,1),(1995,1),(2013,1),(2070,1),(2372,1),(2441,1)}
1883:{2,4,5,6,7}:{(1641,1),(1688,1),(1690,1),(1995,1),(2012,1),(2071,1),(2371,1),(2445,1)}
1884:{2,4,5,6}:{(1647,1),(2060,1),(2072,1)}
1885:{2,4,5,6}:{(1646,1),(2061,1),(2073,1)}
1886:{1,2,3,4,6}:{(1648,1),(1806,1),(1807,1),(2059,1),(2065,1),(2791,1)}
1887:{1,2,3,4,6}:{(1649,1),(1800,1),(1803,1),(2058,1),(2064,1),(2790,1)}
1888:{1,2,3,5}:{(1650,1),(1802,1),(1807,1),(2069,1)}
1889:{1,2,3,5}:{(1651,1),(1800,1),(1805,1),(2068,1)}
1890:{1,2,4,6}:{(1653,1),(1798,1),(1802,1),(2066,1),(2069,1),(2077,1)}
1891:{1,2,4,6}:{(1652,1),(1805,1),(1809,1),(2067,1),(2068,1),(2076,1)}
1892:{2,3,5,7}:{(1657,1),(1689,1),(1693,1),(1697,1),(2030,1),(2034,1),(2125,1)}
1893:{2,3,5,7}:{(1656,1),(1688,1),(1692,1),(1696,1),(2031,1),(2035,1),(2124,1)}
1894:{2,3,4,6,7}:{(1660,1),(1691,1),(1695,1),(1995,1),(2036,1),(2070,1),(2085,1),(2127,1),(2155,1),(2320,1),(2345,1),(2386,1)}
1895:{2,3,4,6,7}:{(1661,1),(1690,1),(1694,1),(1995,1),(2037,1),(2071,1),(2084,1),(2126,1),(2159,1),(2320,1),(2346,1),(2385,1)}
1896:{2,3,5,6}:{(1663,1),(1798,1),(1801,1),(2074,1),(2077,1)}
1897:{2,3,5,6}:{(1662,1),(1808,1),(1809,1),(2075,1),(2076,1)}
1898:{1,2,3,5,6,7}:{(1698,1),(1748,1),(1790,1),(1796,1),(2024,1),(2078,1),(2085,1),(2152,1),(2157,1),(2349,1),(2369,1),(2383,1)}
1899:{1,2,3,5,6,7}:{(1699,1),(1749,1),(1788,1),(1791,1),(2025,1),(2079,1),(2084,1),(2148,1),(2154,1),(2350,1),(2370,1),(2384,1)}
1900:{1,2,3,5,6}:{(1667,1),(1700,1),(1708,1),(1751,1),(2027,1),(2053,1),(2081,1),(2402,1),(2614,1)}
1901:{1,2,3,5,6}:{(1666,1),(1701,1),(1709,1),(1750,1),(2026,1),(2052,1),(2080,1),(2401,1),(2613,1)}
1902:{1,2,3,5,7}:{(1673,1),(1700,1),(1711,1),(1752,1),(2028,1),(2055,1),(2078,1),(2349,1),(2369,1)}
1903:{1,2,3,5,7}:{(1672,1),(1701,1),(1710,1),(1753,1),(2029,1),(2054,1),(2079,1),(2350,1),(2370,1)}
1904:{2,3,5,6}:{(1674,1),(1705,1),(1755,1),(2033,1),(2035,1),(2083,1)}
1905:{2,3,5,6}:{(1675,1),(1704,1),(1754,1),(2032,1),(2034,1),(2082,1)}
1906:{2,3,5,7}:{(1677,1),(1703,1),(1706,1),(1757,1),(2047,1),(2085,1),(2349,1)}
1907:{2,3,5,7}:{(1676,1),(1702,1),(1707,1),(1756,1),(2046,1),(2084,1),(2350,1)}
1908:{2,3,6,7}:{(1678,1),(1705,1),(1707,1),(1761,1),(1999,1),(2083,1)}
1909:{2,3,6,7}:{(1679,1),(1704,1),(1706,1),(1760,1),(1999,1),(2082,1)}
1910:{1,2,3,4,6,7}:{(1680,1),(1708,1),(1758,1),(2039,1),(2058,1),(2081,1),(2343,1),(2359,1),(2376,1),(2403,1),(2800,1)}
1911:{1,2,3,4,6,7}:{(1681,1),(1709,1),(1759,1),(2038,1),(2059,1),(2080,1),(2344,1),(2360,1),(2375,1),(2404,1),(2801,1)}
1912:{1,4,5,6,7}:{(1638,1),(1715,1),(1719,1),(2048,1),(2119,1),(2344,1),(2639,1)}
1913:{1,4,5,6,7}:{(1639,1),(1714,1),(1718,1),(2049,1),(2118,1),(2343,1),(2640,1)}
1914:{1,4,5,6,7}:{(1640,1),(1716,1),(1720,1),(1723,1),(2000,1),(2020,1),(2050,1),(2097,1),(2140,1),(2406,1)}
1915:{1,4,5,6,7}:{(1641,1),(1717,1),(1721,1),(1722,1),(2000,1),(2021,1),(2051,1),(2096,1),(2147,1),(2405,1)}
1916:{1,2,4,5,6}:{(1642,1),(1725,1),(1750,1),(2012,1),(2026,1),(2052,1),(2089,1),(2091,1),(2099,1),(2401,1)}
1917:{1,2,4,5,6}:{(1643,1),(1724,1),(1751,1),(2013,1),(2027,1),(2053,1),(2088,1),(2090,1),(2098,1),(2402,1)}
1918:{1,2,4,5,7}:{(1644,1),(1724,1),(1728,1),(1752,1),(2028,1),(2055,1),(2088,1)}
1919:{1,2,4,5,7}:{(1645,1),(1725,1),(1729,1),(1753,1),(2029,1),(2054,1),(2089,1)}
1920:{1,4,5,7}:{(1727,1),(1740,1),(1781,1),(1784,1),(2092,1)}
1921:{1,4,5,7}:{(1726,1),(1741,1),(1776,1),(1782,1),(2093,1)}
1922:{1,2,4,6,7}:{(1655,1),(1729,1),(1768,1),(2002,1),(2015,1),(2025,1),(2057,1),(2087,1),(2089,1),(2105,1),(2312,1),(2323,1),(2400,1),(2583,1),(2628,1),(2643,1)}
1923:{1,2,4,6,7}:{(1654,1),(1728,1),(1769,1),(2002,1),(2014,1),(2024,1),(2056,1),(2086,1),(2088,1),(2104,1),(2312,1),(2323,1),(2399,1),(2583,1),(2627,1),(2644,1)}
1924:{1,5,7}:{(1657,1),(1733,1),(1736,1)}
1925:{1,5,7}:{(1656,1),(1732,1),(1737,1)}
1926:{1,2,4,5}:{(1658,1),(1739,1),(1990,1),(2098,1),(2110,1)}
1927:{1,2,4,5}:{(1659,1),(1738,1),(1990,1),(2099,1),(2111,1)}
1928:{1,4,6,7}:{(1661,1),(1730,1),(1734,1),(2096,1),(2113,1)}
1929:{1,4,6,7}:{(1660,1),(1731,1),(1735,1),(2097,1),(2112,1)}
1930:{1,2,4,7}:{(1664,1),(1739,1),(1771,1),(2104,1),(2399,1)}
1931:{1,2,4,7}:{(1665,1),(1738,1),(1770,1),(2105,1),(2400,1)}
1932:{1,2,3,6,7}:{(1730,1),(1740,1),(1787,1),(1793,1),(2092,1),(2113,1)}
1933:{1,2,3,6,7}:{(1731,1),(1741,1),(1792,1),(1795,1),(2093,1),(2112,1)}
1934:{1,3,5,6}:{(1675,1),(1733,1),(1744,1),(2102,1),(2108,1)}
1935:{1,3,5,6}:{(1674,1),(1732,1),(1745,1),(2103,1),(2109,1)}
1936:{1,3,5,7}:{(1676,1),(1734,1),(1743,1),(1746,1),(1993,1),(2113,1)}
1937:{1,3,5,7}:{(1677,1),(1735,1),(1742,1),(1747,1),(1993,1),(2112,1)}
1938:{1,3,4,5,6}:{(1663,1),(1727,1),(1743,1),(1994,1),(2103,1),(2107,1),(2115,1),(2133,1),(2648,1),(2821,1)}
1939:{1,3,4,5,6}:{(1662,1),(1726,1),(1742,1),(1994,1),(2102,1),(2106,1),(2114,1),(2132,1),(2647,1),(2820,1)}
1940:{1,3,4,6,7}:{(1678,1),(1737,1),(1745,1),(1746,1),(2109,1),(2113,1),(2135,1),(2400,1),(2405,1)}
1941:{1,3,4,6,7}:{(1679,1),(1736,1),(1744,1),(1747,1),(2108,1),(2112,1),(2134,1),(2399,1),(2406,1)}
1942:{1,2,3,4,6}:{(1683,1),(1739,1),(1772,1),(1992,1),(2098,1),(2104,1),(2106,1),(2110,1),(2116,1),(2418,1)}
1943:{1,2,3,4,6}:{(1682,1),(1738,1),(1773,1),(1992,1),(2099,1),(2105,1),(2107,1),(2111,1),(2117,1),(2417,1)}
1944:{1,2,5,6}:{(1685,1),(1715,1),(1753,1),(2089,1)}
1945:{1,2,5,6}:{(1684,1),(1714,1),(1752,1),(2088,1)}
1946:{1,2,5,7}:{(1686,1),(1718,1),(1751,1),(1758,1)}
1947:{1,2,5,7}:{(1687,1),(1719,1),(1750,1),(1759,1)}
1948:{1,2,4,5,7}:{(1688,1),(1722,1),(1755,1),(1761,1),(2060,1),(2083,1),(2124,1),(2400,1),(2426,1)}
1949:{1,2,4,5,7}:{(1689,1),(1723,1),(1754,1),(1760,1),(2061,1),(2082,1),(2125,1),(2399,1),(2425,1)}
1950:{1,2,4,6,7}:{(1691,1),(1720,1),(1748,1),(1757,1),(2024,1),(2085,1),(2088,1),(2155,1),(2157,1)}
1951:{1,2,4,6,7}:{(1690,1),(1721,1),(1749,1),(1756,1),(2025,1),(2084,1),(2089,1),(2154,1),(2159,1)}
1952:{1,2,4,5,6}:{(1727,1),(1799,1),(1801,1),(2123,1),(2133,1),(2821,1)}
1953:{1,2,4,5,6}:{(1726,1),(1804,1),(1808,1),(2122,1),(2132,1),(2820,1)}
1954:{1,2,5,6}:{(1692,1),(1732,1),(1762,1),(2094,1),(2124,1)}
1955:{1,2,5,6}:{(1693,1),(1733,1),(1763,1),(2095,1),(2125,1)}
1956:{1,2,4,5,7}:{(1695,1),(1735,1),(1765,1),(1767,1),(2125,1),(2127,1),(2130,1),(2399,1),(2425,1),(2641,1)}
1957:{1,2,4,5,7}:{(1694,1),(1734,1),(1764,1),(1766,1),(2124,1),(2126,1),(2131,1),(2400,1),(2426,1),(2642,1)}
1958:{1,2,4,6,7}:{(1697,1),(1736,1),(1763,1),(1767,1),(2095,1),(2104,1),(2125,1),(2134,1),(2399,1)}
1959:{1,2,4,6,7}:{(1696,1),(1737,1),(1762,1),(1766,1),(2094,1),(2105,1),(2124,1),(2135,1),(2400,1)}
1960:{1,2,3,6}:{(1704,1),(1744,1),(1763,1),(1771,1),(2104,1)}
1961:{1,2,3,6}:{(1705,1),(1745,1),(1762,1),(1770,1),(2105,1)}
1962:{1,2,3,5,6}:{(1702,1),(1743,1),(1764,1),(1773,1),(1998,1),(2107,1),(2111,1),(2131,1),(2417,1),(2648,1)}
1963:{1,2,3,5,6}:{(1703,1),(1742,1),(1765,1),(1772,1),(1998,1),(2106,1),(2110,1),(2130,1),(2418,1),(2647,1)}
1964:{1,2,3,7}:{(1707,1),(1746,1),(1766,1),(1773,1),(1999,1)}
1965:{1,2,3,7}:{(1706,1),(1747,1),(1767,1),(1772,1),(1999,1)}
1966:{1,3,4,6}:{(1778,1),(1786,1),(2137,1)}
1967:{1,3,4,6}:{(1779,1),(1797,1)}
1968:{4,6,7}:{(1776,1),(1792,1),(2140,1)}
1969:{3,4,6,7}:{(1782,1),(1795,1),(2021,1),(2093,1),(2141,1)}
1970:{1,3,4,6}:{(1777,1),(1794,1),(2142,1)}
1971:{3,4,6,7}:{(1784,1),(1793,1),(2020,1),(2092,1),(2136,1)}
1972:{1,3,4,6,7}:{(1780,1),(1796,1),(2019,1),(2024,1),(2138,1),(2152,1),(2610,1)}
1973:{4,6,7}:{(1781,1),(1787,1),(2147,1)}
1974:{1,3,4,6,7}:{(1785,1),(1791,1),(2018,1),(2025,1),(2143,1),(2148,1),(2609,1)}
1975:{1,3,4,6}:{(1774,1),(1789,1)}
1976:{1,4,6,7}:{(1775,1),(1790,1),(2041,1),(2157,1)}
1977:{1,4,6,7}:{(1783,1),(1788,1),(2040,1),(2154,1)}
1978:{2,4,5,7}:{(1776,1),(1808,1),(2075,1),(2155,1),(2597,1)}
1979:{1,2,5,7}:{(1783,1),(1798,1),(2066,1),(2074,1),(2154,1)}
1980:{1,2,3,7}:{(1785,1),(1802,1),(2066,1)}
1981:{1,2,3,4,7}:{(1777,1),(1807,1),(2062,1),(2150,1),(2446,1)}
1982:{1,2,3,4,5,7}:{(1774,1),(1806,1),(2059,1),(2149,1),(2365,1),(2911,1)}
1983:{1,2,3,4,5,7}:{(1779,1),(1803,1),(2058,1),(2153,1),(2366,1),(2910,1)}
1984:{2,3,4,5,7}:{(1782,1),(1804,1),(2060,1),(2122,1),(2156,1),(2321,1),(2770,1),(2799,1)}
1985:{2,3,4,5,7}:{(1784,1),(1799,1),(2061,1),(2123,1),(2158,1),(2321,1),(2770,1),(2798,1)}
1986:{1,2,3,4,7}:{(1778,1),(1800,1),(2063,1),(2151,1),(2436,1)}
1987:{1,2,3,7}:{(1780,1),(1805,1),(2067,1)}
1988:{2,4,5,7}:{(1781,1),(1801,1),(2074,1),(2159,1),(2598,1)}
1989:{1,2,5,7}:{(1775,1),(1809,1),(2067,1),(2075,1),(2157,1)}
1990:{2,4,5}:{(1811,1),(2160,1),(2162,1)}
1991:{3,4,5,6,7}:{(1810,1),(1812,1),(1850,1),(1851,1),(2163,1),(2167,1),(2172,1),(2190,1),(2191,1),(2210,1),(2211,1),(2447,1),(2449,1),(2452,1),(2681,1)}
1992:{2,3,4,6}:{(1811,1),(1818,1),(2160,1),(2161,1),(2162,1),(2165,1),(2173,1),(2451,1)}
1993:{3,5,7}:{(1813,1),(1814,1),(1819,1),(2163,1)}
1994:{3,4,5,6}:{(1813,1),(1820,1),(2161,1),(2164,1),(2169,1),(2679,1),(2840,1)}
1995:{2,4,6,7}:{(1810,1),(1815,1),(2160,1),(2167,1),(2681,1)}
1996:{2,3,4,6}:{(1816,1),(1848,1),(1849,1),(2161,1),(2166,1),(2178,1)}
1997:{2,3,5,7}:{(1812,1),(1815,1),(1816,1),(1817,1),(2162,1),(2179,1)}
1998:{2,3,5,6}:{(1813,1),(1818,1),(1826,1),(2161,1),(2162,1),(2168,1),(2451,1),(2679,1)}
1999:{2,3,7}:{(1814,1),(1818,1),(1827,1)}
2000:{1,4,6,7}:{(1810,1),(1819,1),(1821,1),(2163,1)}
2001:{1,4,5,7}:{(1820,1),(1824,1),(1838,1),(1839,1),(2164,1),(2171,1),(2460,1)}
2002:{1,2,4,7}:{(1811,1),(1829,1),(2165,1),(2173,1),(2460,1)}
2003:{1,4,5,7}:{(1812,1),(1822,1),(1823,1),(1924,1),(1925,1),(2174,1),(2179,1),(2459,1),(2460,1)}
2004:{1,2,3,5,6,7}:{(1821,1),(1824,1),(1868,1),(1869,1),(1932,1),(1933,1),(2163,1),(2171,1),(2256,1),(2257,1),(2276,1),(2277,1),(2452,1),(2456,1),(2464,1),(2547,1),(2548,1)}
2005:{1,3,5,6}:{(1813,1),(1822,1),(1825,1),(2174,1),(2224,1),(2225,1),(2679,1)}
2006:{1,3,4,6,7}:{(1814,1),(1823,1),(1825,1),(2163,1),(2174,1),(2181,1),(2224,1),(2225,1),(2449,1),(2453,1),(2460,1),(2495,1),(2496,1)}
2007:{1,2,4,5,7}:{(1815,1),(1819,1),(1826,1),(1827,1),(2168,1),(2176,1),(2179,1),(2460,1),(2691,1)}
2008:{1,2,4,5,6}:{(1820,1),(1884,1),(1885,1),(2169,1),(2177,1),(2290,1),(2291,1),(2466,1),(2840,1),(2853,1)}
2009:{1,2,5,6}:{(1816,1),(1822,1),(1828,1),(2178,1),(2179,1)}
2010:{1,2,4,6,7}:{(1817,1),(1823,1),(1827,1),(1828,1),(2173,1),(2178,1),(2179,1),(2181,1),(2460,1),(2545,1),(2546,1),(2547,1),(2548,1)}
2011:{1,2,3,6}:{(1818,1),(1825,1),(1828,1),(1829,1),(2173,1),(2451,1)}
2012:{2,4,5,6}:{(1830,1),(1832,1),(2160,1),(2183,1),(2204,1)}
2013:{2,4,5,6}:{(1831,1),(1833,1),(2160,1),(2182,1),(2205,1)}
2014:{2,4,6,7}:{(1833,1),(1834,1),(1881,1),(2182,1)}
2015:{2,4,6,7}:{(1832,1),(1835,1),(1880,1),(2183,1)}
2016:{1,3,4,6,7}:{(1836,1),(1864,1),(1970,1),(1975,1),(2185,1),(2858,1),(2949,1)}
2017:{1,3,4,6,7}:{(1837,1),(1865,1),(1966,1),(1967,1),(2184,1),(2859,1),(2950,1)}
2018:{1,3,4,6}:{(1840,1),(1867,1),(2196,1),(2229,1)}
2019:{1,3,4,6}:{(1841,1),(1866,1),(2197,1),(2228,1)}
2020:{4,6,7}:{(1839,1),(1869,1)}
2021:{4,6,7}:{(1838,1),(1868,1)}
2022:{1,3,4,5,7}:{(1836,1),(1842,1),(1870,1),(2195,1),(2199,1),(2233,1),(2713,1),(2858,1)}
2023:{1,3,4,5,7}:{(1837,1),(1843,1),(1871,1),(2194,1),(2198,1),(2232,1),(2714,1),(2859,1)}
2024:{1,4,6,7}:{(1844,1),(1898,1),(2189,1),(2197,1),(2216,1),(2482,1)}
2025:{1,4,6,7}:{(1845,1),(1899,1),(2188,1),(2196,1),(2217,1),(2481,1)}
2026:{1,4,5,6}:{(1847,1),(1901,1),(2196,1),(2199,1),(2212,1)}
2027:{1,4,5,6}:{(1846,1),(1900,1),(2197,1),(2198,1),(2213,1)}
2028:{1,4,5,7}:{(1844,1),(1846,1),(1902,1),(2197,1),(2214,1)}
2029:{1,4,5,7}:{(1845,1),(1847,1),(1903,1),(2196,1),(2215,1)}
2030:{3,4,5,7}:{(1849,1),(1892,1),(2192,1),(2202,1),(2260,1)}
2031:{3,4,5,7}:{(1848,1),(1893,1),(2193,1),(2203,1),(2261,1)}
2032:{3,4,6}:{(1905,1),(2192,1),(2202,1),(2262,1)}
2033:{3,4,6}:{(1904,1),(2193,1),(2203,1),(2263,1)}
2034:{2,3,5}:{(1831,1),(1862,1),(2192,1),(2265,1)}
2035:{2,3,5}:{(1830,1),(1863,1),(2193,1),(2264,1)}
2036:{2,3,4,6}:{(1833,1),(1855,1),(2160,1),(2205,1),(2220,1),(2266,1),(2451,1),(2483,1)}
2037:{2,3,4,6}:{(1832,1),(1854,1),(2160,1),(2204,1),(2221,1),(2267,1),(2451,1),(2484,1)}
2038:{2,3,4,7}:{(1835,1),(1853,1),(2222,1),(2269,1)}
2039:{2,3,4,7}:{(1834,1),(1852,1),(2223,1),(2268,1)}
2040:{3,4,6,7}:{(1858,1),(1872,1),(1973,1),(1977,1),(2206,1),(2242,1),(2481,1)}
2041:{3,4,6,7}:{(1859,1),(1873,1),(1968,1),(1976,1),(2207,1),(2243,1),(2482,1)}
2042:{3,4,5,7}:{(1838,1),(1856,1),(1874,1),(2203,1),(2211,1),(2244,1),(2270,1)}
2043:{3,4,5,7}:{(1839,1),(1857,1),(1875,1),(2202,1),(2210,1),(2245,1),(2271,1)}
2044:{3,4,5}:{(1846,1),(1861,1),(1877,1)}
2045:{3,4,5}:{(1847,1),(1860,1),(1876,1)}
2046:{3,4,7}:{(1845,1),(1860,1),(1907,1)}
2047:{3,4,7}:{(1844,1),(1861,1),(1906,1)}
2048:{1,3,5,6,7}:{(1867,1),(1870,1),(1912,1),(2195,1),(2713,1)}
2049:{1,3,5,6,7}:{(1866,1),(1871,1),(1913,1),(2194,1),(2714,1)}
2050:{3,5,6,7}:{(1873,1),(1875,1),(1914,1),(2163,1),(2210,1)}
2051:{3,5,6,7}:{(1872,1),(1874,1),(1915,1),(2163,1),(2211,1)}
2052:{2,3,5,6}:{(1853,1),(1876,1),(1916,1),(2212,1),(2221,1),(2222,1)}
2053:{2,3,5,6}:{(1852,1),(1877,1),(1917,1),(2213,1),(2220,1),(2223,1)}
2054:{2,3,5,7}:{(1876,1),(1879,1),(1919,1),(2215,1),(2221,1)}
2055:{2,3,5,7}:{(1877,1),(1878,1),(1918,1),(2214,1),(2220,1)}
2056:{2,3,4,6,7}:{(1862,1),(1878,1),(1909,1),(1923,1),(2165,1),(2202,1),(2216,1),(2219,1),(2220,1),(2449,1),(2451,1),(2483,1)}
2057:{2,3,4,6,7}:{(1863,1),(1879,1),(1908,1),(1922,1),(2165,1),(2203,1),(2217,1),(2218,1),(2221,1),(2449,1),(2451,1),(2484,1)}
2058:{1,2,3,4,7}:{(1837,1),(1887,1),(2232,1),(2859,1)}
2059:{1,2,3,4,7}:{(1836,1),(1886,1),(2233,1),(2858,1)}
2060:{2,4,5,7}:{(1838,1),(1884,1),(2231,1),(2244,1)}
2061:{2,4,5,7}:{(1839,1),(1885,1),(2230,1),(2245,1)}
2062:{1,2,3,5,7}:{(1840,1),(1888,1),(1980,1),(1981,1),(2229,1),(2238,1),(2300,1)}
2063:{1,2,3,5,7}:{(1841,1),(1889,1),(1986,1),(1987,1),(2228,1),(2239,1),(2308,1)}
2064:{1,2,3,5,6}:{(1843,1),(1887,1),(1889,1),(2228,1),(2232,1),(2237,1),(2308,1)}
2065:{1,2,3,5,6}:{(1842,1),(1886,1),(1888,1),(2229,1),(2233,1),(2236,1),(2300,1)}
2066:{1,2,4,7}:{(1845,1),(1890,1),(1979,1),(1980,1),(2249,1)}
2067:{1,2,4,7}:{(1844,1),(1891,1),(1987,1),(1989,1),(2248,1)}
2068:{1,2,4,5}:{(1846,1),(1889,1),(1891,1),(2246,1)}
2069:{1,2,4,5}:{(1847,1),(1888,1),(1890,1),(2247,1)}
2070:{2,3,5,6,7}:{(1850,1),(1882,1),(1892,1),(1894,1),(2201,1),(2205,1),(2289,1),(2309,1)}
2071:{2,3,5,6,7}:{(1851,1),(1883,1),(1893,1),(1895,1),(2200,1),(2204,1),(2288,1),(2305,1)}
2072:{2,3,5,6}:{(1856,1),(1884,1),(2240,1),(2244,1),(2290,1)}
2073:{2,3,5,6}:{(1857,1),(1885,1),(2241,1),(2245,1),(2291,1)}
2074:{2,3,5,7}:{(1858,1),(1896,1),(1979,1),(1988,1),(2242,1),(2249,1)}
2075:{2,3,5,7}:{(1859,1),(1897,1),(1978,1),(1989,1),(2243,1),(2248,1)}
2076:{2,3,4,6}:{(1861,1),(1891,1),(1897,1),(2246,1),(2248,1)}
2077:{2,3,4,6}:{(1860,1),(1890,1),(1896,1),(2247,1),(2249,1)}
2078:{1,2,3,5,6}:{(1866,1),(1902,1),(1945,1),(2197,1),(2220,1),(2228,1),(2486,1),(2499,1)}
2079:{1,2,3,5,6}:{(1867,1),(1903,1),(1944,1),(2196,1),(2221,1),(2229,1),(2485,1),(2500,1)}
2080:{1,2,3,5,7}:{(1870,1),(1901,1),(1911,1),(1947,1),(2199,1),(2222,1),(2530,1),(2713,1)}
2081:{1,2,3,5,7}:{(1871,1),(1900,1),(1910,1),(1946,1),(2198,1),(2223,1),(2529,1),(2714,1)}
2082:{2,3,5,7}:{(1875,1),(1905,1),(1909,1),(1949,1),(2202,1)}
2083:{2,3,5,7}:{(1874,1),(1904,1),(1908,1),(1948,1),(2203,1)}
2084:{2,3,6,7}:{(1872,1),(1907,1),(1951,1),(2217,1),(2221,1)}
2085:{2,3,6,7}:{(1873,1),(1906,1),(1950,1),(2216,1),(2220,1)}
2086:{1,2,4,5,7}:{(1831,1),(1923,1),(2182,1),(2189,1),(2219,1),(2254,1),(2265,1),(2526,1),(2529,1),(2691,1),(2723,1),(2757,1)}
2087:{1,2,4,5,7}:{(1830,1),(1922,1),(2183,1),(2188,1),(2218,1),(2255,1),(2264,1),(2525,1),(2530,1),(2691,1),(2724,1),(2758,1)}
2088:{1,2,4,6}:{(1833,1),(1918,1),(1945,1),(2197,1),(2220,1)}
2089:{1,2,4,6}:{(1832,1),(1919,1),(1944,1),(2196,1),(2221,1)}
2090:{1,2,4,5,7}:{(1834,1),(1917,1),(1946,1),(2182,1),(2198,1),(2223,1),(2259,1),(2268,1),(2529,1)}
2091:{1,2,4,5,7}:{(1835,1),(1916,1),(1947,1),(2183,1),(2199,1),(2222,1),(2258,1),(2269,1),(2530,1)}
2092:{1,4,6,7}:{(1920,1),(1932,1),(1971,1),(1973,1),(2257,1)}
2093:{1,4,6,7}:{(1921,1),(1933,1),(1968,1),(1969,1),(2256,1)}
2094:{1,4,6}:{(1848,1),(1954,1),(2225,1),(2261,1)}
2095:{1,4,6}:{(1849,1),(1955,1),(2224,1),(2260,1)}
2096:{1,5,6,7}:{(1851,1),(1925,1),(1928,1)}
2097:{1,5,6,7}:{(1850,1),(1924,1),(1929,1)}
2098:{1,2,4,6}:{(1852,1),(1926,1),(2160,1),(2268,1),(2279,1)}
2099:{1,2,4,6}:{(1853,1),(1927,1),(2160,1),(2269,1),(2278,1)}
2100:{1,2,4,5,7}:{(1854,1),(1927,1),(1931,1),(2264,1),(2267,1),(2269,1),(2280,1),(2525,1),(2530,1)}
2101:{1,2,4,5,7}:{(1855,1),(1926,1),(1930,1),(2265,1),(2266,1),(2268,1),(2281,1),(2526,1),(2529,1)}
2102:{1,4,5,6}:{(1857,1),(1934,1),(2262,1),(2271,1),(2291,1)}
2103:{1,4,5,6}:{(1856,1),(1935,1),(2263,1),(2270,1),(2290,1)}
2104:{1,2,4,6}:{(1862,1),(1930,1),(1960,1),(2262,1),(2265,1)}
2105:{1,2,4,6}:{(1863,1),(1931,1),(1961,1),(2263,1),(2264,1)}
2106:{1,3,4,6}:{(1861,1),(1963,1),(2161,1),(2262,1),(2272,1),(2275,1)}
2107:{1,3,4,6}:{(1860,1),(1962,1),(2161,1),(2263,1),(2273,1),(2274,1)}
2108:{1,3,5,7}:{(1875,1),(1924,1),(1934,1),(1941,1),(2271,1)}
2109:{1,3,5,7}:{(1874,1),(1925,1),(1935,1),(1940,1),(2270,1)}
2110:{1,2,3,5}:{(1877,1),(1926,1),(1942,1),(2162,1),(2265,1),(2272,1)}
2111:{1,2,3,5}:{(1876,1),(1927,1),(1943,1),(2162,1),(2264,1),(2273,1)}
2112:{1,3,6,7}:{(1873,1),(1929,1),(1937,1),(2163,1)}
2113:{1,3,6,7}:{(1872,1),(1928,1),(1936,1),(2163,1)}
2114:{1,3,4,5,7}:{(1859,1),(1921,1),(1937,1),(1939,1),(2164,1),(2271,1),(2275,1),(2282,1),(2298,1),(2532,1),(2740,1)}
2115:{1,3,4,5,7}:{(1858,1),(1920,1),(1936,1),(1938,1),(2164,1),(2270,1),(2274,1),(2283,1),(2299,1),(2531,1),(2739,1)}
2116:{1,2,3,4,7}:{(1878,1),(1930,1),(1942,1),(1965,1),(2165,1),(2268,1),(2275,1),(2281,1)}
2117:{1,2,3,4,7}:{(1879,1),(1931,1),(1943,1),(1964,1),(2165,1),(2269,1),(2274,1),(2280,1)}
2118:{1,2,5,6,7}:{(1881,1),(1913,1),(1945,1),(1946,1),(2259,1),(2529,1)}
2119:{1,2,5,6,7}:{(1880,1),(1912,1),(1944,1),(1947,1),(2258,1),(2530,1)}
2120:{1,2,4,5,6,7}:{(1882,1),(1914,1),(1949,1),(1950,1),(2176,1),(2189,1),(2230,1),(2253,1),(2254,1),(2289,1),(2309,1),(2311,1),(2464,1),(2482,1),(2521,1),(2528,1),(2548,1),(2681,1),(2691,1),(2723,1),(2757,1),(2762,1)}
2121:{1,2,4,5,6,7}:{(1883,1),(1915,1),(1948,1),(1951,1),(2176,1),(2188,1),(2231,1),(2252,1),(2255,1),(2288,1),(2304,1),(2305,1),(2464,1),(2481,1),(2522,1),(2527,1),(2547,1),(2681,1),(2691,1),(2724,1),(2758,1),(2761,1)}
2122:{1,2,4,5,7}:{(1921,1),(1953,1),(1978,1),(1984,1),(2287,1),(2298,1),(2740,1)}
2123:{1,2,4,5,7}:{(1920,1),(1952,1),(1985,1),(1988,1),(2286,1),(2299,1),(2739,1)}
2124:{1,2,5,7}:{(1893,1),(1925,1),(1954,1),(1959,1),(2261,1),(2264,1)}
2125:{1,2,5,7}:{(1892,1),(1924,1),(1955,1),(1958,1),(2260,1),(2265,1)}
2126:{1,2,4,6,7}:{(1895,1),(1928,1),(1957,1),(2267,1),(2288,1),(2297,1),(2527,1),(2547,1)}
2127:{1,2,4,6,7}:{(1894,1),(1929,1),(1956,1),(2266,1),(2289,1),(2296,1),(2528,1),(2548,1)}
2128:{1,2,3,5,6}:{(1905,1),(1934,1),(1955,1),(1960,1),(2224,1),(2262,1),(2265,1),(2291,1),(2294,1),(2491,1),(2520,1)}
2129:{1,2,3,5,6}:{(1904,1),(1935,1),(1954,1),(1961,1),(2225,1),(2263,1),(2264,1),(2290,1),(2295,1),(2492,1),(2519,1)}
2130:{1,2,3,5,7}:{(1906,1),(1937,1),(1956,1),(1963,1),(1965,1),(2168,1),(2275,1),(2296,1),(2532,1)}
2131:{1,2,3,5,7}:{(1907,1),(1936,1),(1957,1),(1962,1),(1964,1),(2168,1),(2274,1),(2297,1),(2531,1)}
2132:{1,2,3,5,6}:{(1897,1),(1939,1),(1953,1),(2169,1),(2291,1),(2293,1),(2298,1)}
2133:{1,2,3,5,6}:{(1896,1),(1938,1),(1952,1),(2169,1),(2290,1),(2292,1),(2299,1)}
2134:{1,2,3,6,7}:{(1909,1),(1941,1),(1958,1),(1960,1),(1965,1),(2224,1),(2294,1),(2548,1)}
2135:{1,2,3,6,7}:{(1908,1),(1940,1),(1959,1),(1961,1),(1964,1),(2225,1),(2295,1),(2547,1)}
2136:{3,5,6,7}:{(1971,1),(2190,1),(2257,1)}
2137:{1,3,4,5}:{(1966,1),(2308,1)}
2138:{1,3,4,5,7}:{(1972,1),(2186,1),(2189,1),(2302,1),(2711,1)}
2139:{1,3,4,5,6}:{(1975,1),(2185,1),(2307,1),(2949,1)}
2140:{5,6,7}:{(1968,1)}
2141:{3,5,6,7}:{(1969,1),(2191,1),(2256,1)}
2142:{1,3,4,5}:{(1970,1),(2300,1)}
2143:{1,3,4,5,7}:{(1974,1),(2187,1),(2188,1),(2306,1),(2712,1)}
2144:{1,3,4,5,6}:{(1967,1),(2184,1),(2301,1),(2950,1)}
2145:{1,4,5,6,7}:{(1976,1),(2189,1),(2207,1),(2311,1),(2482,1)}
2146:{1,4,5,6,7}:{(1977,1),(2188,1),(2206,1),(2304,1),(2481,1)}
2147:{5,6,7}:{(1973,1)}
2148:{1,2,3,6,7}:{(1974,1),(1980,1),(2229,1),(2235,1),(2306,1),(2562,1)}
2149:{1,2,3,4,6}:{(1975,1),(1982,1),(2307,1),(2949,1)}
2150:{1,2,3,4,6}:{(1970,1),(1981,1),(2229,1),(2300,1),(2474,1)}
2151:{1,2,3,4,6}:{(1966,1),(1986,1),(2228,1),(2308,1),(2473,1)}
2152:{1,2,3,6,7}:{(1972,1),(1987,1),(2228,1),(2234,1),(2302,1),(2557,1)}
2153:{1,2,3,4,6}:{(1967,1),(1983,1),(2301,1),(2950,1)}
2154:{1,2,6,7}:{(1977,1),(1979,1),(2242,1)}
2155:{2,4,6,7}:{(1968,1),(1978,1),(2243,1),(2309,1),(2482,1)}
2156:{2,3,4,6,7}:{(1969,1),(1984,1),(2231,1),(2287,1),(2303,1),(2456,1),(2681,1),(2720,1)}
2157:{1,2,6,7}:{(1976,1),(1989,1),(2243,1)}
2158:{2,3,4,6,7}:{(1971,1),(1985,1),(2230,1),(2286,1),(2310,1),(2456,1),(2681,1),(2719,1)}
2159:{2,4,6,7}:{(1973,1),(1988,1),(2242,1),(2305,1),(2481,1)}
2160:{2,4,6}:{(1990,1),(2312,1),(2315,1)}
2161:{3,4,6}:{(1998,1),(2313,1),(2314,1),(2325,1)}
2162:{2,3,5}:{(1990,1),(1992,1),(2313,1),(2326,1)}
2163:{3,6,7}:{(1993,1),(2000,1)}
2164:{3,4,5,7}:{(1993,1),(1994,1),(2001,1),(2314,1),(2317,1),(2321,1),(2569,1),(2770,1)}
2165:{2,3,4,7}:{(1992,1),(1999,1),(2002,1),(2312,1),(2314,1),(2316,1)}
2166:{2,3,4,5,7}:{(1996,1),(1997,1),(2030,1),(2031,1),(2313,1),(2314,1),(2331,1),(2373,1),(2374,1),(2381,1),(2382,1)}
2167:{2,3,5,6,7}:{(1991,1),(1995,1),(1997,1),(2315,1),(2320,1),(2332,1),(2371,1),(2372,1),(2385,1),(2386,1)}
2168:{2,3,5,7}:{(1993,1),(1998,1),(1999,1),(2007,1),(2314,1),(2320,1),(2569,1)}
2169:{2,3,5,6}:{(1994,1),(2008,1),(2319,1),(2321,1)}
2170:{1,2,4,5,7}:{(1990,1),(2002,1),(2312,1),(2316,1),(2323,1),(2326,1),(2582,1),(2584,1)}
2171:{1,4,6,7}:{(2001,1),(2004,1),(2020,1),(2021,1),(2317,1)}
2172:{1,4,5,6,7}:{(1991,1),(2000,1),(2003,1),(2096,1),(2097,1),(2327,1),(2332,1),(2405,1),(2406,1),(2581,1),(2583,1)}
2173:{1,2,4,6}:{(1992,1),(2002,1),(2011,1),(2325,1),(2326,1)}
2174:{1,3,5,7}:{(1993,1),(2003,1),(2005,1),(2006,1),(2569,1),(2573,1)}
2175:{1,3,4,5,6}:{(1994,1),(2005,1),(2102,1),(2103,1),(2325,1),(2328,1),(2334,1),(2363,1),(2364,1),(2573,1),(2771,1),(2775,1),(2781,1)}
2176:{1,2,4,6,7}:{(1995,1),(2000,1),(2007,1),(2320,1),(2323,1),(2332,1),(2583,1)}
2177:{1,2,4,5,7}:{(2001,1),(2008,1),(2060,1),(2061,1),(2321,1),(2330,1),(2425,1),(2426,1),(2589,1),(2770,1),(2783,1)}
2178:{1,2,4,6}:{(1996,1),(2009,1),(2094,1),(2095,1),(2322,1),(2325,1),(2331,1)}
2179:{1,2,5,7}:{(1997,1),(2003,1),(2009,1),(2010,1),(2326,1)}
2180:{1,2,3,5,6}:{(1998,1),(2005,1),(2009,1),(2011,1),(2322,1),(2325,1),(2326,1),(2333,1),(2573,1)}
2181:{1,2,3,6,7}:{(1999,1),(2006,1),(2010,1),(2011,1),(2320,1),(2322,1),(2333,1),(2637,1),(2638,1)}
2182:{2,4,5,7}:{(2013,1),(2014,1),(2312,1),(2348,1)}
2183:{2,4,5,7}:{(2012,1),(2015,1),(2312,1),(2347,1)}
2184:{1,3,4,5,7}:{(2017,1),(2137,1),(2144,1),(2366,1)}
2185:{1,3,4,5,7}:{(2016,1),(2139,1),(2142,1),(2365,1)}
2186:{1,3,4,5,6}:{(2019,1),(2137,1),(2138,1),(2337,1),(2367,1),(2794,1)}
2187:{1,3,4,5,6}:{(2018,1),(2142,1),(2143,1),(2338,1),(2368,1),(2795,1)}
2188:{1,4,5,7}:{(2025,1),(2338,1),(2350,1),(2370,1),(2598,1)}
2189:{1,4,5,7}:{(2024,1),(2337,1),(2349,1),(2369,1),(2597,1)}
2190:{4,5,6,7}:{(2020,1),(2136,1),(2140,1),(2371,1)}
2191:{4,5,6,7}:{(2021,1),(2141,1),(2147,1),(2372,1)}
2192:{3,4,5}:{(2032,1),(2034,1),(2395,1)}
2193:{3,4,5}:{(2033,1),(2035,1),(2396,1)}
2194:{1,3,4,6,7}:{(2019,1),(2023,1),(2049,1),(2343,1),(2376,1)}
2195:{1,3,4,6,7}:{(2018,1),(2022,1),(2048,1),(2344,1),(2375,1)}
2196:{1,4,6}:{(2029,1),(2079,1),(2354,1)}
2197:{1,4,6}:{(2028,1),(2078,1),(2353,1)}
2198:{1,4,5,7}:{(2027,1),(2081,1),(2343,1),(2355,1)}
2199:{1,4,5,7}:{(2026,1),(2080,1),(2344,1),(2356,1)}
2200:{3,4,5,6,7}:{(2031,1),(2071,1),(2339,1),(2346,1),(2398,1),(2438,1),(2445,1),(2612,1)}
2201:{3,4,5,6,7}:{(2030,1),(2070,1),(2340,1),(2345,1),(2397,1),(2437,1),(2441,1),(2611,1)}
2202:{3,4,7}:{(2032,1),(2082,1),(2399,1)}
2203:{3,4,7}:{(2033,1),(2083,1),(2400,1)}
2204:{2,3,5,6}:{(2012,1),(2035,1),(2037,1),(2339,1),(2347,1),(2401,1)}
2205:{2,3,5,6}:{(2013,1),(2034,1),(2036,1),(2340,1),(2348,1),(2402,1)}
2206:{3,5,6,7}:{(2040,1),(2146,1),(2147,1),(2350,1)}
2207:{3,5,6,7}:{(2041,1),(2140,1),(2145,1),(2349,1)}
2208:{2,3,4,6,7}:{(2014,1),(2036,1),(2039,1),(2312,1),(2348,1),(2359,1),(2403,1),(2572,1),(2599,1)}
2209:{2,3,4,6,7}:{(2015,1),(2037,1),(2038,1),(2312,1),(2347,1),(2360,1),(2404,1),(2572,1),(2600,1)}
2210:{3,4,6,7}:{(2020,1),(2043,1),(2050,1),(2386,1),(2406,1)}
2211:{3,4,6,7}:{(2021,1),(2042,1),(2051,1),(2385,1),(2405,1)}
2212:{3,4,5,6}:{(2026,1),(2045,1),(2052,1),(2354,1),(2356,1)}
2213:{3,4,5,6}:{(2027,1),(2044,1),(2053,1),(2353,1),(2355,1)}
2214:{3,4,5,7}:{(2028,1),(2044,1),(2047,1),(2055,1),(2349,1),(2353,1)}
2215:{3,4,5,7}:{(2029,1),(2045,1),(2046,1),(2054,1),(2350,1),(2354,1)}
2216:{3,4,6,7}:{(2024,1),(2047,1),(2085,1),(2349,1),(2353,1)}
2217:{3,4,6,7}:{(2025,1),(2046,1),(2084,1),(2350,1),(2354,1)}
2218:{2,3,5,7}:{(2035,1),(2057,1),(2087,1),(2341,1),(2350,1),(2357,1),(2569,1)}
2219:{2,3,5,7}:{(2034,1),(2056,1),(2086,1),(2342,1),(2349,1),(2358,1),(2569,1)}
2220:{2,3,6}:{(2055,1),(2088,1),(2353,1)}
2221:{2,3,6}:{(2054,1),(2089,1),(2354,1)}
2222:{2,3,5,7}:{(2038,1),(2052,1),(2091,1),(2356,1),(2360,1)}
2223:{2,3,5,7}:{(2039,1),(2053,1),(2090,1),(2355,1),(2359,1)}
2224:{1,3,6}:{(2095,1),(2361,1)}
2225:{1,3,6}:{(2094,1),(2362,1)}
2226:{1,2,3,4,6,7}:{(2017,1),(2058,1),(2151,1),(2153,1),(2366,1),(2376,1),(2592,1)}
2227:{1,2,3,4,6,7}:{(2016,1),(2059,1),(2149,1),(2150,1),(2365,1),(2375,1),(2591,1)}
2228:{1,2,3,6}:{(2019,1),(2063,1),(2377,1)}
2229:{1,2,3,6}:{(2018,1),(2062,1),(2378,1)}
2230:{2,4,6,7}:{(2020,1),(2061,1),(2371,1),(2386,1)}
2231:{2,4,6,7}:{(2021,1),(2060,1),(2372,1),(2385,1)}
2232:{1,2,3,5,7}:{(2023,1),(2058,1),(2064,1),(2376,1),(2379,1)}
2233:{1,2,3,5,7}:{(2022,1),(2059,1),(2065,1),(2375,1),(2380,1)}
2234:{1,2,4,6,7}:{(2024,1),(2067,1),(2152,1),(2157,1),(2369,1),(2377,1),(2392,1),(2436,1)}
2235:{1,2,4,6,7}:{(2025,1),(2066,1),(2148,1),(2154,1),(2370,1),(2378,1),(2391,1),(2446,1)}
2236:{1,2,4,5,6}:{(2026,1),(2065,1),(2069,1),(2378,1),(2380,1),(2387,1),(2435,1)}
2237:{1,2,4,5,6}:{(2027,1),(2064,1),(2068,1),(2377,1),(2379,1),(2388,1),(2443,1)}
2238:{1,2,4,5,7}:{(2029,1),(2062,1),(2066,1),(2069,1),(2370,1),(2378,1),(2389,1),(2435,1),(2446,1)}
2239:{1,2,4,5,7}:{(2028,1),(2063,1),(2067,1),(2068,1),(2369,1),(2377,1),(2390,1),(2436,1),(2443,1)}
2240:{2,3,4,6}:{(2033,1),(2072,1),(2373,1),(2382,1),(2424,1)}
2241:{2,3,4,6}:{(2032,1),(2073,1),(2374,1),(2381,1),(2423,1)}
2242:{2,3,6,7}:{(2040,1),(2074,1),(2154,1),(2159,1)}
2243:{2,3,6,7}:{(2041,1),(2075,1),(2155,1),(2157,1)}
2244:{2,3,5,7}:{(2042,1),(2060,1),(2072,1),(2382,1),(2385,1),(2426,1)}
2245:{2,3,5,7}:{(2043,1),(2061,1),(2073,1),(2381,1),(2386,1),(2425,1)}
2246:{2,3,4,5}:{(2044,1),(2068,1),(2076,1)}
2247:{2,3,4,5}:{(2045,1),(2069,1),(2077,1)}
2248:{2,3,4,7}:{(2047,1),(2067,1),(2075,1),(2076,1)}
2249:{2,3,4,7}:{(2046,1),(2066,1),(2074,1),(2077,1)}
2250:{1,2,3,5,6,7}:{(2048,1),(2079,1),(2080,1),(2119,1),(2344,1),(2360,1),(2375,1),(2601,1),(2619,1)}
2251:{1,2,3,5,6,7}:{(2049,1),(2078,1),(2081,1),(2118,1),(2343,1),(2359,1),(2376,1),(2602,1),(2620,1)}
2252:{2,3,5,6,7}:{(2051,1),(2083,1),(2084,1),(2121,1),(2320,1),(2346,1),(2350,1),(2357,1),(2385,1),(2569,1),(2612,1),(2623,1),(2817,1)}
2253:{2,3,5,6,7}:{(2050,1),(2082,1),(2085,1),(2120,1),(2320,1),(2345,1),(2349,1),(2358,1),(2386,1),(2569,1),(2611,1),(2624,1),(2816,1)}
2254:{1,2,4,5,6}:{(2013,1),(2086,1),(2088,1),(2323,1),(2337,1),(2358,1),(2402,1),(2644,1),(2781,1),(2804,1),(2831,1)}
2255:{1,2,4,5,6}:{(2012,1),(2087,1),(2089,1),(2323,1),(2338,1),(2357,1),(2401,1),(2643,1),(2781,1),(2805,1),(2830,1)}
2256:{1,5,6,7}:{(2093,1),(2140,1),(2141,1)}
2257:{1,5,6,7}:{(2092,1),(2136,1),(2147,1)}
2258:{1,2,4,6,7}:{(2015,1),(2089,1),(2091,1),(2119,1),(2344,1),(2360,1)}
2259:{1,2,4,6,7}:{(2014,1),(2088,1),(2090,1),(2118,1),(2343,1),(2359,1)}
2260:{1,4,5,7}:{(2030,1),(2095,1),(2125,1),(2361,1),(2395,1),(2399,1)}
2261:{1,4,5,7}:{(2031,1),(2094,1),(2124,1),(2362,1),(2396,1),(2400,1)}
2262:{1,4,6}:{(2032,1),(2128,1),(2395,1),(2399,1)}
2263:{1,4,6}:{(2033,1),(2129,1),(2396,1),(2400,1)}
2264:{1,2,5}:{(2035,1),(2105,1),(2396,1)}
2265:{1,2,5}:{(2034,1),(2104,1),(2395,1)}
2266:{1,2,4,6}:{(2036,1),(2101,1),(2402,1),(2418,1),(2644,1)}
2267:{1,2,4,6}:{(2037,1),(2100,1),(2401,1),(2417,1),(2643,1)}
2268:{1,2,4,7}:{(2039,1),(2098,1),(2312,1),(2419,1)}
2269:{1,2,4,7}:{(2038,1),(2099,1),(2312,1),(2420,1)}
2270:{1,4,5,7}:{(2042,1),(2103,1),(2109,1),(2400,1),(2405,1),(2426,1)}
2271:{1,4,5,7}:{(2043,1),(2102,1),(2108,1),(2399,1),(2406,1),(2425,1)}
2272:{1,3,4,5}:{(2044,1),(2106,1),(2110,1),(2313,1),(2395,1)}
2273:{1,3,4,5}:{(2045,1),(2107,1),(2111,1),(2313,1),(2396,1)}
2274:{1,3,4,7}:{(2046,1),(2107,1),(2131,1),(2314,1),(2400,1)}
2275:{1,3,4,7}:{(2047,1),(2106,1),(2130,1),(2314,1),(2399,1)}
2276:{1,3,5,6,7}:{(2051,1),(2096,1),(2109,1),(2113,1),(2405,1)}
2277:{1,3,5,6,7}:{(2050,1),(2097,1),(2108,1),(2112,1),(2406,1)}
2278:{1,2,3,5,6}:{(2052,1),(2099,1),(2111,1),(2315,1),(2401,1),(2408,1),(2417,1),(2420,1)}
2279:{1,2,3,5,6}:{(2053,1),(2098,1),(2110,1),(2315,1),(2402,1),(2407,1),(2418,1),(2419,1)}
2280:{1,2,3,5,7}:{(2054,1),(2100,1),(2111,1),(2117,1),(2316,1),(2410,1),(2417,1)}
2281:{1,2,3,5,7}:{(2055,1),(2101,1),(2110,1),(2116,1),(2316,1),(2409,1),(2418,1)}
2282:{1,3,4,6,7}:{(2041,1),(2093,1),(2112,1),(2114,1),(2317,1),(2406,1),(2414,1),(2433,1),(2646,1)}
2283:{1,3,4,6,7}:{(2040,1),(2092,1),(2113,1),(2115,1),(2317,1),(2405,1),(2413,1),(2434,1),(2645,1)}
2284:{1,2,3,4,6,7}:{(2056,1),(2104,1),(2116,1),(2134,1),(2364,1),(2399,1),(2403,1),(2412,1),(2415,1),(2418,1),(2637,1),(2644,1),(2658,1),(2800,1),(2806,1),(2814,1)}
2285:{1,2,3,4,6,7}:{(2057,1),(2105,1),(2117,1),(2135,1),(2363,1),(2400,1),(2404,1),(2411,1),(2416,1),(2417,1),(2638,1),(2643,1),(2657,1),(2801,1),(2807,1),(2815,1)}
2286:{1,2,4,6,7}:{(2092,1),(2123,1),(2158,1),(2159,1),(2422,1),(2434,1),(2645,1)}
2287:{1,2,4,6,7}:{(2093,1),(2122,1),(2155,1),(2156,1),(2421,1),(2433,1),(2646,1)}
2288:{1,2,5,6,7}:{(2071,1),(2096,1),(2124,1),(2126,1),(2398,1),(2401,1)}
2289:{1,2,5,6,7}:{(2070,1),(2097,1),(2125,1),(2127,1),(2397,1),(2402,1)}
2290:{1,2,5,6}:{(2072,1),(2103,1),(2424,1),(2426,1)}
2291:{1,2,5,6}:{(2073,1),(2102,1),(2423,1),(2425,1)}
2292:{1,2,3,4,6}:{(2077,1),(2107,1),(2133,1),(2319,1),(2424,1),(2427,1),(2429,1)}
2293:{1,2,3,4,6}:{(2076,1),(2106,1),(2132,1),(2319,1),(2423,1),(2428,1),(2430,1)}
2294:{1,2,3,5,7}:{(2082,1),(2108,1),(2125,1),(2128,1),(2134,1),(2361,1),(2399,1),(2425,1),(2637,1)}
2295:{1,2,3,5,7}:{(2083,1),(2109,1),(2124,1),(2129,1),(2135,1),(2362,1),(2400,1),(2426,1),(2638,1)}
2296:{1,2,3,6,7}:{(2085,1),(2112,1),(2127,1),(2130,1),(2320,1),(2412,1),(2418,1)}
2297:{1,2,3,6,7}:{(2084,1),(2113,1),(2126,1),(2131,1),(2320,1),(2411,1),(2417,1)}
2298:{1,2,3,5,7}:{(2075,1),(2114,1),(2122,1),(2132,1),(2321,1),(2425,1),(2430,1),(2433,1)}
2299:{1,2,3,5,7}:{(2074,1),(2115,1),(2123,1),(2133,1),(2321,1),(2426,1),(2429,1),(2434,1)}
2300:{1,2,3,5}:{(2142,1),(2150,1),(2435,1)}
2301:{1,2,3,5,6}:{(2144,1),(2153,1),(2366,1),(2444,1)}
2302:{1,2,3,5,7}:{(2138,1),(2152,1),(2367,1),(2369,1),(2436,1),(2607,1)}
2303:{2,3,5,6,7}:{(2141,1),(2156,1),(2372,1),(2421,1),(2441,1),(2611,1)}
2304:{1,2,5,6,7}:{(2146,1),(2154,1),(2370,1),(2384,1),(2442,1),(2670,1)}
2305:{2,5,6,7}:{(2147,1),(2159,1),(2438,1)}
2306:{1,2,3,5,7}:{(2143,1),(2148,1),(2368,1),(2370,1),(2446,1),(2608,1)}
2307:{1,2,3,5,6}:{(2139,1),(2149,1),(2365,1),(2440,1)}
2308:{1,2,3,5}:{(2137,1),(2151,1),(2443,1)}
2309:{2,5,6,7}:{(2140,1),(2155,1),(2437,1)}
2310:{2,3,5,6,7}:{(2136,1),(2158,1),(2371,1),(2422,1),(2445,1),(2612,1)}
2311:{1,2,5,6,7}:{(2145,1),(2157,1),(2369,1),(2383,1),(2439,1),(2668,1)}
2312:{2,4,7}:{(2160,1),(2450,1)}
2313:{3,4,5}:{(2161,1),(2162,1),(2459,1)}
2314:{3,4,7}:{(2161,1),(2168,1),(2460,1)}
2315:{2,3,5,6}:{(2160,1),(2162,1),(2447,1),(2450,1),(2451,1),(2461,1)}
2316:{2,3,5,7}:{(2162,1),(2165,1),(2170,1),(2448,1),(2451,1)}
2317:{3,4,6,7}:{(2163,1),(2164,1),(2171,1),(2452,1),(2456,1),(2681,1)}
2318:{2,3,4,5,6,7}:{(2166,1),(2167,1),(2200,1),(2201,1),(2447,1),(2449,1),(2465,1),(2501,1),(2502,1),(2503,1),(2504,1),(2509,1),(2510,1),(2681,1),(2685,1),(2686,1),(2687,1),(2688,1),(2941,1)}
2319:{2,3,4,6}:{(2161,1),(2169,1),(2454,1),(2455,1),(2466,1)}
2320:{2,3,6,7}:{(2163,1),(2168,1),(2176,1),(2449,1),(2451,1)}
2321:{2,3,5,7}:{(2164,1),(2169,1),(2177,1),(2455,1),(2456,1)}
2322:{1,2,3,6}:{(2178,1),(2224,1),(2225,1),(2453,1),(2457,1)}
2323:{1,2,4,6}:{(2160,1),(2170,1),(2451,1),(2461,1),(2693,1)}
2324:{1,4,5,6,7}:{(2171,1),(2190,1),(2191,1),(2256,1),(2257,1),(2452,1),(2464,1),(2681,1),(2691,1)}
2325:{1,4,6}:{(2161,1),(2180,1),(2459,1),(2460,1)}
2326:{1,2,5}:{(2162,1),(2173,1),(2459,1)}
2327:{1,3,5,6,7}:{(2163,1),(2172,1),(2174,1),(2452,1),(2463,1),(2682,1)}
2328:{1,3,4,5,7}:{(2164,1),(2174,1),(2175,1),(2270,1),(2271,1),(2460,1),(2463,1),(2468,1),(2495,1),(2496,1),(2691,1)}
2329:{1,2,3,4,6,7}:{(2165,1),(2173,1),(2181,1),(2449,1),(2451,1),(2453,1),(2458,1),(2460,1),(2462,1),(2690,1),(2693,1),(2697,1),(2844,1),(2849,1)}
2330:{1,2,4,6,7}:{(2171,1),(2177,1),(2230,1),(2231,1),(2456,1),(2464,1),(2547,1),(2548,1),(2681,1)}
2331:{1,2,4,5,7}:{(2166,1),(2178,1),(2179,1),(2260,1),(2261,1),(2457,1),(2459,1),(2460,1),(2543,1),(2544,1),(2545,1),(2546,1)}
2332:{1,2,5,6,7}:{(2167,1),(2172,1),(2176,1),(2179,1),(2461,1),(2547,1),(2548,1)}
2333:{1,2,3,5,7}:{(2168,1),(2174,1),(2179,1),(2180,1),(2181,1),(2460,1)}
2334:{1,2,3,5,6}:{(2169,1),(2175,1),(2290,1),(2291,1),(2466,1),(2468,1),(2519,1),(2520,1),(2689,1),(2849,1),(2853,1)}
2335:{1,3,4,5,6,7}:{(2185,1),(2187,1),(2195,1),(2469,1),(2498,1),(2862,1)}
2336:{1,3,4,5,6,7}:{(2184,1),(2186,1),(2194,1),(2470,1),(2497,1),(2863,1)}
2337:{1,4,5,6}:{(2189,1),(2197,1),(2486,1),(2499,1),(2704,1)}
2338:{1,4,5,6}:{(2188,1),(2196,1),(2485,1),(2500,1),(2703,1)}
2339:{3,4,5,6}:{(2193,1),(2204,1),(2477,1),(2484,1),(2523,1)}
2340:{3,4,5,6}:{(2192,1),(2205,1),(2478,1),(2483,1),(2524,1)}
2341:{3,4,5,7}:{(2193,1),(2203,1),(2218,1),(2484,1),(2525,1)}
2342:{3,4,5,7}:{(2192,1),(2202,1),(2219,1),(2483,1),(2526,1)}
2343:{1,4,6,7}:{(2197,1),(2198,1),(2251,1),(2488,1)}
2344:{1,4,6,7}:{(2196,1),(2199,1),(2250,1),(2487,1)}
2345:{3,4,6,7}:{(2202,1),(2253,1),(2480,1),(2482,1),(2483,1),(2528,1),(2681,1)}
2346:{3,4,6,7}:{(2203,1),(2252,1),(2479,1),(2481,1),(2484,1),(2527,1),(2681,1)}
2347:{2,3,5,7}:{(2183,1),(2204,1),(2209,1),(2477,1),(2530,1)}
2348:{2,3,5,7}:{(2182,1),(2205,1),(2208,1),(2478,1),(2529,1)}
2349:{3,5,7}:{(2189,1),(2216,1),(2486,1)}
2350:{3,5,7}:{(2188,1),(2217,1),(2485,1)}
2351:{3,4,5,6,7}:{(2190,1),(2207,1),(2210,1),(2452,1),(2480,1),(2482,1),(2514,1),(2533,1),(2564,1),(2681,1),(2720,1)}
2352:{3,4,5,6,7}:{(2191,1),(2206,1),(2211,1),(2452,1),(2479,1),(2481,1),(2513,1),(2534,1),(2559,1),(2681,1),(2719,1)}
2353:{3,4,6}:{(2197,1),(2214,1),(2220,1),(2486,1)}
2354:{3,4,6}:{(2196,1),(2215,1),(2221,1),(2485,1)}
2355:{3,4,5,7}:{(2198,1),(2213,1),(2223,1),(2488,1)}
2356:{3,4,5,7}:{(2199,1),(2212,1),(2222,1),(2487,1)}
2357:{2,3,5,6}:{(2218,1),(2221,1),(2255,1),(2451,1),(2484,1),(2485,1),(2679,1)}
2358:{2,3,5,6}:{(2219,1),(2220,1),(2254,1),(2451,1),(2483,1),(2486,1),(2679,1)}
2359:{2,3,6,7}:{(2220,1),(2223,1),(2259,1),(2488,1)}
2360:{2,3,6,7}:{(2221,1),(2222,1),(2258,1),(2487,1)}
2361:{1,3,5,7}:{(2224,1),(2260,1),(2491,1),(2496,1)}
2362:{1,3,5,7}:{(2225,1),(2261,1),(2492,1),(2495,1)}
2363:{1,3,4,6}:{(2225,1),(2263,1),(2492,1),(2495,1),(2519,1),(2706,1)}
2364:{1,3,4,6}:{(2224,1),(2262,1),(2491,1),(2496,1),(2520,1),(2705,1)}
2365:{1,2,3,5,7}:{(2185,1),(2227,1),(2300,1),(2307,1),(2472,1)}
2366:{1,2,3,5,7}:{(2184,1),(2226,1),(2301,1),(2308,1),(2471,1)}
2367:{1,2,3,5,6}:{(2186,1),(2228,1),(2302,1),(2308,1),(2473,1),(2499,1),(2710,1)}
2368:{1,2,3,5,6}:{(2187,1),(2229,1),(2300,1),(2306,1),(2474,1),(2500,1),(2709,1)}
2369:{1,2,5,7}:{(2189,1),(2234,1),(2499,1),(2511,1)}
2370:{1,2,5,7}:{(2188,1),(2235,1),(2500,1),(2512,1)}
2371:{2,5,6,7}:{(2190,1),(2230,1)}
2372:{2,5,6,7}:{(2191,1),(2231,1)}
2373:{2,3,4,5}:{(2193,1),(2240,1),(2543,1)}
2374:{2,3,4,5}:{(2192,1),(2241,1),(2544,1)}
2375:{1,2,3,6,7}:{(2195,1),(2229,1),(2233,1),(2508,1)}
2376:{1,2,3,6,7}:{(2194,1),(2228,1),(2232,1),(2507,1)}
2377:{1,2,4,6}:{(2197,1),(2228,1),(2239,1),(2499,1),(2516,1)}
2378:{1,2,4,6}:{(2196,1),(2229,1),(2238,1),(2500,1),(2515,1)}
2379:{1,2,4,5,7}:{(2198,1),(2232,1),(2237,1),(2507,1),(2518,1)}
2380:{1,2,4,5,7}:{(2199,1),(2233,1),(2236,1),(2508,1),(2517,1)}
2381:{2,3,4,7}:{(2202,1),(2241,1),(2245,1),(2546,1)}
2382:{2,3,4,7}:{(2203,1),(2240,1),(2244,1),(2545,1)}
2383:{2,3,5,6,7}:{(2207,1),(2243,1),(2309,1),(2311,1),(2482,1),(2511,1),(2557,1),(2564,1)}
2384:{2,3,5,6,7}:{(2206,1),(2242,1),(2304,1),(2305,1),(2481,1),(2512,1),(2559,1),(2562,1)}
2385:{2,3,6,7}:{(2211,1),(2231,1),(2244,1),(2547,1)}
2386:{2,3,6,7}:{(2210,1),(2230,1),(2245,1),(2548,1)}
2387:{2,3,4,5,6}:{(2212,1),(2236,1),(2247,1),(2515,1),(2517,1),(2568,1)}
2388:{2,3,4,5,6}:{(2213,1),(2237,1),(2246,1),(2516,1),(2518,1),(2558,1)}
2389:{2,3,4,5,7}:{(2215,1),(2238,1),(2247,1),(2249,1),(2512,1),(2515,1),(2565,1),(2568,1)}
2390:{2,3,4,5,7}:{(2214,1),(2239,1),(2246,1),(2248,1),(2511,1),(2516,1),(2558,1),(2566,1)}
2391:{2,3,4,6,7}:{(2217,1),(2235,1),(2242,1),(2249,1),(2481,1),(2512,1),(2515,1),(2562,1),(2565,1)}
2392:{2,3,4,6,7}:{(2216,1),(2234,1),(2243,1),(2248,1),(2482,1),(2511,1),(2516,1),(2557,1),(2566,1)}
2393:{1,2,4,5,6,7}:{(2182,1),(2254,1),(2259,1),(2458,1),(2470,1),(2490,1),(2529,1),(2742,1),(2851,1),(2868,1),(2889,1)}
2394:{1,2,4,5,6,7}:{(2183,1),(2255,1),(2258,1),(2458,1),(2469,1),(2489,1),(2530,1),(2741,1),(2851,1),(2869,1),(2888,1)}
2395:{1,4,5}:{(2192,1),(2262,1),(2265,1),(2491,1)}
2396:{1,4,5}:{(2193,1),(2263,1),(2264,1),(2492,1)}
2397:{1,4,5,6,7}:{(2201,1),(2260,1),(2289,1),(2493,1),(2524,1),(2528,1)}
2398:{1,4,5,6,7}:{(2200,1),(2261,1),(2288,1),(2494,1),(2523,1),(2527,1)}
2399:{1,4,7}:{(2202,1),(2262,1),(2294,1)}
2400:{1,4,7}:{(2203,1),(2263,1),(2295,1)}
2401:{1,2,5,6}:{(2204,1),(2264,1),(2267,1),(2523,1),(2530,1)}
2402:{1,2,5,6}:{(2205,1),(2265,1),(2266,1),(2524,1),(2529,1)}
2403:{1,2,4,6,7}:{(2208,1),(2266,1),(2268,1),(2529,1),(2542,1),(2742,1)}
2404:{1,2,4,6,7}:{(2209,1),(2267,1),(2269,1),(2530,1),(2541,1),(2741,1)}
2405:{1,4,6,7}:{(2211,1),(2270,1),(2276,1),(2547,1)}
2406:{1,4,6,7}:{(2210,1),(2271,1),(2277,1),(2548,1)}
2407:{1,3,4,5,6}:{(2213,1),(2272,1),(2279,1),(2447,1),(2524,1),(2535,1),(2538,1)}
2408:{1,3,4,5,6}:{(2212,1),(2273,1),(2278,1),(2447,1),(2523,1),(2536,1),(2537,1)}
2409:{1,3,4,5,7}:{(2214,1),(2272,1),(2275,1),(2281,1),(2448,1),(2526,1),(2532,1),(2535,1)}
2410:{1,3,4,5,7}:{(2215,1),(2273,1),(2274,1),(2280,1),(2448,1),(2525,1),(2531,1),(2536,1)}
2411:{1,3,4,6,7}:{(2217,1),(2274,1),(2297,1),(2449,1),(2527,1),(2531,1),(2536,1)}
2412:{1,3,4,6,7}:{(2216,1),(2275,1),(2296,1),(2449,1),(2528,1),(2532,1),(2535,1)}
2413:{1,3,5,6,7}:{(2206,1),(2257,1),(2283,1),(2452,1),(2531,1),(2534,1)}
2414:{1,3,5,6,7}:{(2207,1),(2256,1),(2282,1),(2452,1),(2532,1),(2533,1)}
2415:{1,2,3,5,7}:{(2219,1),(2265,1),(2284,1),(2491,1),(2526,1),(2529,1),(2532,1),(2539,1),(2714,1),(2757,1)}
2416:{1,2,3,5,7}:{(2218,1),(2264,1),(2285,1),(2492,1),(2525,1),(2530,1),(2531,1),(2540,1),(2713,1),(2758,1)}
2417:{1,2,3,6}:{(2221,1),(2267,1),(2280,1),(2451,1),(2536,1)}
2418:{1,2,3,6}:{(2220,1),(2266,1),(2281,1),(2451,1),(2535,1)}
2419:{1,2,3,5,7}:{(2223,1),(2268,1),(2279,1),(2450,1),(2529,1),(2538,1),(2542,1)}
2420:{1,2,3,5,7}:{(2222,1),(2269,1),(2278,1),(2450,1),(2530,1),(2537,1),(2541,1)}
2421:{1,2,5,6,7}:{(2256,1),(2287,1),(2303,1),(2309,1),(2521,1)}
2422:{1,2,5,6,7}:{(2257,1),(2286,1),(2305,1),(2310,1),(2522,1)}
2423:{1,2,4,6}:{(2241,1),(2262,1),(2291,1),(2520,1),(2544,1),(2546,1)}
2424:{1,2,4,6}:{(2240,1),(2263,1),(2290,1),(2519,1),(2543,1),(2545,1)}
2425:{1,2,5,7}:{(2245,1),(2271,1),(2291,1),(2546,1),(2548,1)}
2426:{1,2,5,7}:{(2244,1),(2270,1),(2290,1),(2545,1),(2547,1)}
2427:{1,2,3,4,5}:{(2247,1),(2273,1),(2292,1),(2454,1),(2543,1)}
2428:{1,2,3,4,5}:{(2246,1),(2272,1),(2293,1),(2454,1),(2544,1)}
2429:{1,2,3,4,7}:{(2249,1),(2274,1),(2292,1),(2299,1),(2455,1),(2545,1)}
2430:{1,2,3,4,7}:{(2248,1),(2275,1),(2293,1),(2298,1),(2455,1),(2546,1)}
2431:{1,2,3,5,6,7}:{(2252,1),(2276,1),(2288,1),(2295,1),(2297,1),(2494,1),(2527,1),(2531,1),(2540,1),(2547,1),(2735,1),(2758,1)}
2432:{1,2,3,5,6,7}:{(2253,1),(2277,1),(2289,1),(2294,1),(2296,1),(2493,1),(2528,1),(2532,1),(2539,1),(2548,1),(2736,1),(2757,1)}
2433:{1,2,3,6,7}:{(2243,1),(2282,1),(2287,1),(2298,1),(2456,1),(2548,1)}
2434:{1,2,3,6,7}:{(2242,1),(2283,1),(2286,1),(2299,1),(2456,1),(2547,1)}
2435:{1,2,4,5}:{(2300,1),(2474,1),(2568,1)}
2436:{1,2,4,7}:{(2302,1),(2473,1),(2566,1)}
2437:{4,5,6,7}:{(2309,1),(2482,1),(2564,1)}
2438:{4,5,6,7}:{(2305,1),(2481,1),(2559,1)}
2439:{1,2,4,6,7}:{(2311,1),(2476,1),(2482,1),(2557,1),(2752,1)}
2440:{1,2,4,5,6}:{(2307,1),(2472,1),(2563,1)}
2441:{4,5,6,7}:{(2303,1),(2681,1)}
2442:{1,2,4,6,7}:{(2304,1),(2475,1),(2481,1),(2562,1),(2751,1)}
2443:{1,2,4,5}:{(2308,1),(2473,1),(2558,1)}
2444:{1,2,4,5,6}:{(2301,1),(2471,1),(2567,1)}
2445:{4,5,6,7}:{(2310,1),(2681,1)}
2446:{1,2,4,7}:{(2306,1),(2474,1),(2565,1)}
2447:{3,4,5,6}:{(2313,1),(2315,1),(2570,1),(2571,1),(2581,1)}
2448:{3,4,5,7}:{(2313,1),(2314,1),(2316,1),(2569,1),(2571,1),(2582,1)}
2449:{3,4,6,7}:{(2314,1),(2320,1),(2569,1),(2571,1),(2583,1)}
2450:{2,3,5,7}:{(2312,1),(2315,1),(2570,1),(2572,1),(2584,1)}
2451:{2,3,6}:{(2316,1),(2323,1),(2571,1)}
2452:{3,5,6,7}:{(2317,1),(2324,1),(2569,1)}
2453:{1,3,4,6}:{(2322,1),(2325,1),(2573,1),(2574,1)}
2454:{2,3,4,5}:{(2313,1),(2319,1),(2588,1)}
2455:{2,3,4,7}:{(2314,1),(2319,1),(2321,1),(2589,1)}
2456:{2,3,6,7}:{(2317,1),(2321,1),(2330,1)}
2457:{1,2,3,5,7}:{(2322,1),(2331,1),(2361,1),(2362,1),(2573,1),(2574,1),(2635,1),(2636,1),(2637,1),(2638,1)}
2458:{1,2,4,6,7}:{(2312,1),(2323,1),(2572,1),(2584,1),(2782,1)}
2459:{1,4,5}:{(2313,1),(2325,1),(2326,1),(2573,1)}
2460:{1,4,7}:{(2314,1),(2325,1),(2333,1)}
2461:{1,2,5,6}:{(2315,1),(2323,1),(2326,1),(2581,1),(2584,1)}
2462:{1,2,3,5,7}:{(2316,1),(2326,1),(2329,1),(2569,1),(2573,1),(2582,1),(2584,1),(2585,1),(2773,1),(2783,1)}
2463:{1,3,4,6,7}:{(2317,1),(2327,1),(2328,1),(2405,1),(2406,1),(2583,1),(2590,1),(2775,1)}
2464:{1,2,5,6,7}:{(2324,1),(2330,1),(2371,1),(2372,1),(2578,1),(2783,1)}
2465:{1,2,4,5,6,7}:{(2318,1),(2331,1),(2332,1),(2397,1),(2398,1),(2579,1),(2581,1),(2583,1),(2653,1),(2654,1),(2657,1),(2658,1),(2783,1),(2784,1),(2785,1),(2899,1)}
2466:{1,2,4,6}:{(2319,1),(2325,1),(2334,1),(2588,1),(2589,1)}
2467:{1,2,3,5,6,7}:{(2320,1),(2327,1),(2332,1),(2333,1),(2569,1),(2578,1),(2583,1),(2585,1),(2590,1),(2783,1)}
2468:{1,2,3,5,7}:{(2321,1),(2328,1),(2334,1),(2425,1),(2426,1),(2589,1),(2590,1),(2637,1),(2638,1),(2783,1)}
2469:{1,4,5,6,7}:{(2338,1),(2344,1),(2601,1),(2619,1),(2788,1)}
2470:{1,4,5,6,7}:{(2337,1),(2343,1),(2602,1),(2620,1),(2789,1)}
2471:{1,2,4,5,7}:{(2366,1),(2443,1),(2444,1),(2592,1),(2604,1)}
2472:{1,2,4,5,7}:{(2365,1),(2435,1),(2440,1),(2591,1),(2603,1)}
2473:{1,2,4,6}:{(2367,1),(2436,1),(2443,1),(2606,1)}
2474:{1,2,4,6}:{(2368,1),(2435,1),(2446,1),(2605,1)}
2475:{1,2,4,5,7}:{(2370,1),(2442,1),(2446,1),(2594,1),(2598,1),(2608,1),(2827,1)}
2476:{1,2,4,5,7}:{(2369,1),(2436,1),(2439,1),(2593,1),(2597,1),(2607,1),(2826,1)}
2477:{3,4,5,7}:{(2339,1),(2347,1),(2600,1),(2639,1)}
2478:{3,4,5,7}:{(2340,1),(2348,1),(2599,1),(2640,1)}
2479:{3,4,5,7}:{(2346,1),(2350,1),(2569,1),(2596,1),(2598,1),(2623,1),(2642,1),(2770,1)}
2480:{3,4,5,7}:{(2345,1),(2349,1),(2569,1),(2595,1),(2597,1),(2624,1),(2641,1),(2770,1)}
2481:{4,6,7}:{(2384,1),(2598,1)}
2482:{4,6,7}:{(2383,1),(2597,1)}
2483:{3,4,6}:{(2342,1),(2358,1),(2644,1)}
2484:{3,4,6}:{(2341,1),(2357,1),(2643,1)}
2485:{3,5,6}:{(2338,1),(2350,1),(2354,1)}
2486:{3,5,6}:{(2337,1),(2349,1),(2353,1)}
2487:{3,4,6,7}:{(2344,1),(2354,1),(2356,1),(2360,1),(2601,1)}
2488:{3,4,6,7}:{(2343,1),(2353,1),(2355,1),(2359,1),(2602,1)}
2489:{2,3,5,6,7}:{(2347,1),(2357,1),(2360,1),(2394,1),(2572,1),(2600,1),(2601,1),(2769,1)}
2490:{2,3,5,6,7}:{(2348,1),(2358,1),(2359,1),(2393,1),(2572,1),(2599,1),(2602,1),(2769,1)}
2491:{1,3,5}:{(2364,1),(2395,1)}
2492:{1,3,5}:{(2363,1),(2396,1)}
2493:{1,3,5,6,7}:{(2361,1),(2397,1),(2611,1),(2614,1),(2617,1)}
2494:{1,3,5,6,7}:{(2362,1),(2398,1),(2612,1),(2613,1),(2618,1)}
2495:{1,3,4,7}:{(2362,1),(2363,1),(2400,1),(2638,1)}
2496:{1,3,4,7}:{(2361,1),(2364,1),(2399,1),(2637,1)}
2497:{1,2,3,5,6,7}:{(2336,1),(2366,1),(2367,1),(2376,1),(2592,1),(2620,1),(2792,1)}
2498:{1,2,3,5,6,7}:{(2335,1),(2365,1),(2368,1),(2375,1),(2591,1),(2619,1),(2793,1)}
2499:{1,2,5,6}:{(2337,1),(2369,1),(2377,1),(2630,1)}
2500:{1,2,5,6}:{(2338,1),(2370,1),(2378,1),(2629,1)}
2501:{2,4,5,6,7}:{(2371,1),(2437,1),(2445,1),(2627,1),(2632,1)}
2502:{2,4,5,6,7}:{(2372,1),(2438,1),(2441,1),(2628,1),(2631,1)}
2503:{2,3,4,5,6}:{(2339,1),(2373,1),(2622,1),(2625,1),(2654,1),(2981,1)}
2504:{2,3,4,5,6}:{(2340,1),(2374,1),(2621,1),(2626,1),(2653,1),(2980,1)}
2505:{2,3,4,5,7}:{(2342,1),(2374,1),(2381,1),(2624,1),(2626,1),(2656,1),(2914,1),(2980,1)}
2506:{2,3,4,5,7}:{(2341,1),(2373,1),(2382,1),(2623,1),(2625,1),(2655,1),(2915,1),(2981,1)}
2507:{1,2,4,6,7}:{(2343,1),(2376,1),(2377,1),(2379,1),(2620,1),(2634,1)}
2508:{1,2,4,6,7}:{(2344,1),(2375,1),(2378,1),(2380,1),(2619,1),(2633,1)}
2509:{2,3,4,6,7}:{(2346,1),(2382,1),(2385,1),(2623,1),(2625,1),(2628,1),(2657,1),(2817,1),(2915,1)}
2510:{2,3,4,6,7}:{(2345,1),(2381,1),(2386,1),(2624,1),(2626,1),(2627,1),(2658,1),(2816,1),(2914,1)}
2511:{2,3,5,7}:{(2349,1),(2369,1),(2392,1),(2597,1),(2630,1)}
2512:{2,3,5,7}:{(2350,1),(2370,1),(2391,1),(2598,1),(2629,1)}
2513:{2,3,5,6,7}:{(2352,1),(2372,1),(2385,1),(2623,1),(2628,1),(2662,1),(2817,1)}
2514:{2,3,5,6,7}:{(2351,1),(2371,1),(2386,1),(2624,1),(2627,1),(2661,1),(2816,1)}
2515:{2,3,4,6}:{(2354,1),(2378,1),(2389,1),(2629,1)}
2516:{2,3,4,6}:{(2353,1),(2377,1),(2390,1),(2630,1)}
2517:{2,3,4,5,7}:{(2356,1),(2380,1),(2387,1),(2633,1)}
2518:{2,3,4,5,7}:{(2355,1),(2379,1),(2388,1),(2634,1)}
2519:{1,2,3,6}:{(2363,1),(2424,1),(2636,1),(2638,1)}
2520:{1,2,3,6}:{(2364,1),(2423,1),(2635,1),(2637,1)}
2521:{1,4,5,6,7}:{(2421,1),(2437,1),(2441,1),(2611,1),(2646,1),(2668,1)}
2522:{1,4,5,6,7}:{(2422,1),(2438,1),(2445,1),(2612,1),(2645,1),(2670,1)}
2523:{1,4,5,6}:{(2339,1),(2396,1),(2401,1),(2613,1),(2639,1),(2643,1)}
2524:{1,4,5,6}:{(2340,1),(2395,1),(2402,1),(2614,1),(2640,1),(2644,1)}
2525:{1,4,5,7}:{(2341,1),(2396,1),(2400,1),(2416,1),(2643,1)}
2526:{1,4,5,7}:{(2342,1),(2395,1),(2399,1),(2415,1),(2644,1)}
2527:{1,4,6,7}:{(2346,1),(2400,1),(2431,1),(2642,1),(2643,1)}
2528:{1,4,6,7}:{(2345,1),(2399,1),(2432,1),(2641,1),(2644,1)}
2529:{1,2,5,7}:{(2348,1),(2402,1),(2403,1),(2640,1)}
2530:{1,2,5,7}:{(2347,1),(2401,1),(2404,1),(2639,1)}
2531:{1,3,5,7}:{(2350,1),(2411,1),(2569,1),(2642,1),(2648,1)}
2532:{1,3,5,7}:{(2349,1),(2412,1),(2569,1),(2641,1),(2647,1)}
2533:{1,4,5,6,7}:{(2351,1),(2406,1),(2414,1),(2641,1),(2646,1),(2661,1),(2668,1)}
2534:{1,4,5,6,7}:{(2352,1),(2405,1),(2413,1),(2642,1),(2645,1),(2662,1),(2670,1)}
2535:{1,3,4,6}:{(2353,1),(2409,1),(2418,1),(2571,1),(2644,1),(2647,1)}
2536:{1,3,4,6}:{(2354,1),(2410,1),(2417,1),(2571,1),(2643,1),(2648,1)}
2537:{1,3,4,5,7}:{(2356,1),(2408,1),(2420,1),(2570,1),(2639,1),(2650,1)}
2538:{1,3,4,5,7}:{(2355,1),(2407,1),(2419,1),(2570,1),(2640,1),(2649,1)}
2539:{1,2,3,5,6}:{(2358,1),(2402,1),(2415,1),(2418,1),(2614,1),(2644,1),(2647,1),(2814,1),(2831,1)}
2540:{1,2,3,5,6}:{(2357,1),(2401,1),(2416,1),(2417,1),(2613,1),(2643,1),(2648,1),(2815,1),(2830,1)}
2541:{1,2,3,6,7}:{(2360,1),(2404,1),(2417,1),(2420,1),(2572,1),(2650,1)}
2542:{1,2,3,6,7}:{(2359,1),(2403,1),(2418,1),(2419,1),(2572,1),(2649,1)}
2543:{1,2,4,5}:{(2373,1),(2396,1),(2424,1),(2636,1)}
2544:{1,2,4,5}:{(2374,1),(2395,1),(2423,1),(2635,1)}
2545:{1,2,4,7}:{(2382,1),(2400,1),(2424,1),(2426,1),(2638,1)}
2546:{1,2,4,7}:{(2381,1),(2399,1),(2423,1),(2425,1),(2637,1)}
2547:{1,2,6,7}:{(2385,1),(2405,1),(2426,1)}
2548:{1,2,6,7}:{(2386,1),(2406,1),(2425,1)}
2549:{1,2,3,4,5,6}:{(2387,1),(2408,1),(2427,1),(2575,1),(2654,1),(2663,1),(2665,1),(2667,1),(2981,1),(3008,1)}
2550:{1,2,3,4,5,6}:{(2388,1),(2407,1),(2428,1),(2575,1),(2653,1),(2664,1),(2666,1),(2671,1),(2980,1),(3009,1)}
2551:{1,2,3,4,5,7}:{(2390,1),(2409,1),(2428,1),(2430,1),(2576,1),(2656,1),(2660,1),(2664,1),(2671,1),(2676,1),(2914,1),(2980,1)}
2552:{1,2,3,4,5,7}:{(2389,1),(2410,1),(2427,1),(2429,1),(2576,1),(2655,1),(2659,1),(2663,1),(2667,1),(2672,1),(2915,1),(2981,1)}
2553:{1,2,3,4,6,7}:{(2392,1),(2412,1),(2430,1),(2433,1),(2577,1),(2646,1),(2658,1),(2660,1),(2664,1),(2673,1),(2676,1),(2816,1),(2914,1)}
2554:{1,2,3,4,6,7}:{(2391,1),(2411,1),(2429,1),(2434,1),(2577,1),(2645,1),(2657,1),(2659,1),(2663,1),(2669,1),(2672,1),(2817,1),(2915,1)}
2555:{1,2,3,5,6,7}:{(2384,1),(2413,1),(2422,1),(2434,1),(2578,1),(2612,1),(2645,1),(2659,1),(2662,1),(2669,1),(2670,1),(2817,1)}
2556:{1,2,3,5,6,7}:{(2383,1),(2414,1),(2421,1),(2433,1),(2578,1),(2611,1),(2646,1),(2660,1),(2661,1),(2668,1),(2673,1),(2816,1)}
2557:{2,3,6,7}:{(2439,1),(2607,1),(2610,1)}
2558:{2,3,4,5}:{(2443,1),(2606,1)}
2559:{3,5,6,7}:{(2438,1),(2609,1),(2670,1)}
2560:{3,4,5,6,7}:{(2445,1),(2612,1),(2632,1),(2675,1),(2772,1)}
2561:{3,4,5,6,7}:{(2441,1),(2611,1),(2631,1),(2678,1),(2772,1)}
2562:{2,3,6,7}:{(2442,1),(2608,1),(2609,1)}
2563:{2,3,4,5,6}:{(2440,1),(2603,1)}
2564:{3,5,6,7}:{(2437,1),(2610,1),(2668,1)}
2565:{2,3,4,7}:{(2446,1),(2605,1),(2608,1)}
2566:{2,3,4,7}:{(2436,1),(2606,1),(2607,1)}
2567:{2,3,4,5,6}:{(2444,1),(2604,1)}
2568:{2,3,4,5}:{(2435,1),(2605,1)}
2569:{3,5,7}:{(2449,1),(2679,1),(2691,1)}
2570:{3,4,5,7}:{(2447,1),(2450,1),(2680,1),(2692,1)}
2571:{3,4,6}:{(2448,1),(2451,1),(2679,1),(2693,1)}
2572:{2,3,6,7}:{(2450,1),(2451,1),(2458,1),(2680,1)}
2573:{1,3,5}:{(2453,1),(2459,1)}
2574:{1,3,4,7}:{(2453,1),(2457,1),(2460,1),(2705,1),(2706,1)}
2575:{2,3,4,5,6}:{(2447,1),(2454,1),(2686,1),(2687,1),(2695,1)}
2576:{2,3,4,5,7}:{(2448,1),(2454,1),(2455,1),(2685,1),(2687,1),(2696,1)}
2577:{2,3,4,6,7}:{(2449,1),(2455,1),(2456,1),(2681,1),(2685,1),(2687,1),(2697,1)}
2578:{2,3,5,6,7}:{(2452,1),(2456,1),(2464,1),(2681,1),(2685,1)}
2579:{1,2,3,5,6,7}:{(2457,1),(2465,1),(2493,1),(2494,1),(2682,1),(2684,1),(2688,1),(2731,1),(2732,1),(2735,1),(2736,1),(2847,1),(2848,1),(2849,1)}
2580:{1,2,3,4,6}:{(2453,1),(2466,1),(2519,1),(2520,1),(2689,1),(2690,1),(2705,1),(2706,1),(2841,1),(2849,1)}
2581:{1,4,5,6}:{(2447,1),(2459,1),(2461,1),(2682,1),(2692,1),(2693,1)}
2582:{1,4,5,7}:{(2448,1),(2459,1),(2460,1),(2462,1),(2693,1)}
2583:{1,4,6,7}:{(2449,1),(2460,1),(2467,1),(2681,1),(2691,1),(2693,1)}
2584:{1,2,5,7}:{(2450,1),(2458,1),(2461,1),(2692,1)}
2585:{1,2,3,5,6}:{(2451,1),(2461,1),(2462,1),(2679,1),(2682,1),(2693,1),(2849,1),(2853,1)}
2586:{1,3,4,5,6,7}:{(2452,1),(2463,1),(2533,1),(2534,1),(2681,1),(2691,1),(2698,1),(2715,1),(2716,1),(2719,1),(2720,1),(2753,1),(2754,1),(2842,1),(2843,1),(2852,1)}
2587:{1,2,4,5,6,7}:{(2464,1),(2501,1),(2502,1),(2521,1),(2522,1),(2681,1),(2688,1),(2761,1),(2762,1),(2765,1),(2766,1),(2852,1),(2854,1)}
2588:{1,2,4,5}:{(2454,1),(2459,1),(2466,1),(2689,1)}
2589:{1,2,4,7}:{(2455,1),(2460,1),(2466,1),(2468,1)}
2590:{1,2,3,6,7}:{(2456,1),(2463,1),(2468,1),(2547,1),(2548,1),(2697,1),(2849,1)}
2591:{1,2,4,6,7}:{(2472,1),(2474,1),(2498,1),(2707,1)}
2592:{1,2,4,6,7}:{(2471,1),(2473,1),(2497,1),(2708,1)}
2593:{1,2,4,5,6}:{(2473,1),(2476,1),(2499,1),(2704,1),(2710,1),(2885,1)}
2594:{1,2,4,5,6}:{(2474,1),(2475,1),(2500,1),(2703,1),(2709,1),(2884,1)}
2595:{3,4,5,6}:{(2480,1),(2483,1),(2486,1),(2679,1),(2704,1),(2722,1),(2738,1),(2840,1)}
2596:{3,4,5,6}:{(2479,1),(2484,1),(2485,1),(2679,1),(2703,1),(2721,1),(2737,1),(2840,1)}
2597:{4,5,7}:{(2482,1),(2511,1),(2704,1)}
2598:{4,5,7}:{(2481,1),(2512,1),(2703,1)}
2599:{3,4,6,7}:{(2478,1),(2483,1),(2490,1),(2742,1)}
2600:{3,4,6,7}:{(2477,1),(2484,1),(2489,1),(2741,1)}
2601:{3,5,6,7}:{(2469,1),(2485,1),(2487,1)}
2602:{3,5,6,7}:{(2470,1),(2486,1),(2488,1)}
2603:{2,3,4,5,7}:{(2472,1),(2563,1),(2568,1),(2707,1)}
2604:{2,3,4,5,7}:{(2471,1),(2558,1),(2567,1),(2708,1)}
2605:{2,3,4,6}:{(2474,1),(2565,1),(2568,1),(2709,1)}
2606:{2,3,4,6}:{(2473,1),(2558,1),(2566,1),(2710,1)}
2607:{2,3,5,7}:{(2476,1),(2557,1),(2566,1),(2710,1),(2711,1)}
2608:{2,3,5,7}:{(2475,1),(2562,1),(2565,1),(2709,1),(2712,1)}
2609:{3,4,6,7}:{(2481,1),(2559,1),(2562,1),(2712,1),(2751,1)}
2610:{3,4,6,7}:{(2482,1),(2557,1),(2564,1),(2711,1),(2752,1)}
2611:{3,5,6,7}:{(2521,1),(2720,1)}
2612:{3,5,6,7}:{(2522,1),(2719,1)}
2613:{1,3,5,6}:{(2492,1),(2523,1),(2713,1),(2718,1)}
2614:{1,3,5,6}:{(2491,1),(2524,1),(2714,1),(2717,1)}
2615:{1,3,4,5,7}:{(2492,1),(2495,1),(2525,1),(2706,1),(2713,1),(2718,1),(2733,1),(2857,1),(2858,1)}
2616:{1,3,4,5,7}:{(2491,1),(2496,1),(2526,1),(2705,1),(2714,1),(2717,1),(2734,1),(2856,1),(2859,1)}
2617:{1,3,4,6,7}:{(2493,1),(2496,1),(2528,1),(2715,1),(2717,1),(2720,1),(2736,1)}
2618:{1,3,4,6,7}:{(2494,1),(2495,1),(2527,1),(2716,1),(2718,1),(2719,1),(2735,1)}
2619:{1,2,5,6,7}:{(2469,1),(2500,1),(2508,1),(2728,1)}
2620:{1,2,5,6,7}:{(2470,1),(2499,1),(2507,1),(2727,1)}
2621:{2,3,4,5,7}:{(2478,1),(2504,1),(2725,1),(2756,1)}
2622:{2,3,4,5,7}:{(2477,1),(2503,1),(2726,1),(2755,1)}
2623:{2,3,5,7}:{(2479,1),(2509,1),(2721,1),(2724,1),(2758,1)}
2624:{2,3,5,7}:{(2480,1),(2510,1),(2722,1),(2723,1),(2757,1)}
2625:{2,3,4,6}:{(2484,1),(2506,1),(2721,1),(2759,1)}
2626:{2,3,4,6}:{(2483,1),(2505,1),(2722,1),(2760,1)}
2627:{2,4,6,7}:{(2482,1),(2514,1),(2681,1),(2723,1)}
2628:{2,4,6,7}:{(2481,1),(2513,1),(2681,1),(2724,1)}
2629:{2,3,5,6}:{(2485,1),(2500,1),(2512,1),(2515,1),(2703,1)}
2630:{2,3,5,6}:{(2486,1),(2499,1),(2511,1),(2516,1),(2704,1)}
2631:{2,3,5,6,7}:{(2502,1),(2559,1),(2561,1),(2730,1),(2765,1)}
2632:{2,3,5,6,7}:{(2501,1),(2560,1),(2564,1),(2729,1),(2766,1)}
2633:{2,3,4,6,7}:{(2487,1),(2508,1),(2515,1),(2517,1),(2728,1)}
2634:{2,3,4,6,7}:{(2488,1),(2507,1),(2516,1),(2518,1),(2727,1)}
2635:{1,2,3,5}:{(2491,1),(2520,1),(2544,1),(2705,1)}
2636:{1,2,3,5}:{(2492,1),(2519,1),(2543,1),(2706,1)}
2637:{1,2,3,7}:{(2496,1),(2520,1),(2546,1)}
2638:{1,2,3,7}:{(2495,1),(2519,1),(2545,1)}
2639:{1,4,5,7}:{(2477,1),(2523,1),(2530,1),(2713,1),(2741,1)}
2640:{1,4,5,7}:{(2478,1),(2524,1),(2529,1),(2714,1),(2742,1)}
2641:{1,4,5,7}:{(2480,1),(2528,1),(2532,1),(2738,1),(2757,1)}
2642:{1,4,5,7}:{(2479,1),(2527,1),(2531,1),(2737,1),(2758,1)}
2643:{1,4,6}:{(2484,1),(2525,1),(2540,1)}
2644:{1,4,6}:{(2483,1),(2526,1),(2539,1)}
2645:{1,4,6,7}:{(2481,1),(2555,1),(2681,1),(2719,1),(2739,1)}
2646:{1,4,6,7}:{(2482,1),(2556,1),(2681,1),(2720,1),(2740,1)}
2647:{1,3,5,6}:{(2486,1),(2532,1),(2535,1),(2679,1),(2738,1)}
2648:{1,3,5,6}:{(2485,1),(2531,1),(2536,1),(2679,1),(2737,1)}
2649:{1,3,4,6,7}:{(2488,1),(2535,1),(2538,1),(2542,1),(2680,1),(2742,1),(2744,1)}
2650:{1,3,4,6,7}:{(2487,1),(2536,1),(2537,1),(2541,1),(2680,1),(2741,1),(2743,1)}
2651:{1,2,3,5,6,7}:{(2490,1),(2529,1),(2539,1),(2542,1),(2714,1),(2742,1),(2744,1),(2878,1),(2889,1)}
2652:{1,2,3,5,6,7}:{(2489,1),(2530,1),(2540,1),(2541,1),(2713,1),(2741,1),(2743,1),(2879,1),(2888,1)}
2653:{1,2,4,5,6}:{(2504,1),(2524,1),(2544,1),(2732,1),(2756,1),(2760,1),(2952,1)}
2654:{1,2,4,5,6}:{(2503,1),(2523,1),(2543,1),(2731,1),(2755,1),(2759,1),(2951,1)}
2655:{1,2,4,5,7}:{(2506,1),(2525,1),(2543,1),(2545,1),(2733,1),(2758,1),(2759,1),(2860,1),(2951,1)}
2656:{1,2,4,5,7}:{(2505,1),(2526,1),(2544,1),(2546,1),(2734,1),(2757,1),(2760,1),(2861,1),(2952,1)}
2657:{1,2,4,6,7}:{(2509,1),(2527,1),(2545,1),(2547,1),(2735,1),(2758,1),(2759,1),(2860,1)}
2658:{1,2,4,6,7}:{(2510,1),(2528,1),(2546,1),(2548,1),(2736,1),(2757,1),(2760,1),(2861,1)}
2659:{1,2,3,5,7}:{(2512,1),(2531,1),(2554,1),(2685,1),(2739,1),(2758,1),(2764,1),(2876,1)}
2660:{1,2,3,5,7}:{(2511,1),(2532,1),(2553,1),(2685,1),(2740,1),(2757,1),(2763,1),(2877,1)}
2661:{1,2,5,6,7}:{(2514,1),(2533,1),(2548,1),(2757,1),(2762,1)}
2662:{1,2,5,6,7}:{(2513,1),(2534,1),(2547,1),(2758,1),(2761,1)}
2663:{1,2,3,4,6}:{(2515,1),(2536,1),(2552,1),(2687,1),(2759,1),(2764,1),(2956,1)}
2664:{1,2,3,4,6}:{(2516,1),(2535,1),(2551,1),(2687,1),(2760,1),(2763,1),(2955,1)}
2665:{1,2,3,4,5,7}:{(2517,1),(2537,1),(2549,1),(2686,1),(2755,1),(2768,1),(2999,1)}
2666:{1,2,3,4,5,7}:{(2518,1),(2538,1),(2550,1),(2686,1),(2756,1),(2767,1),(2998,1)}
2667:{1,2,3,4,5}:{(2568,1),(2747,1)}
2668:{1,5,6,7}:{(2564,1),(2752,1)}
2669:{1,2,3,6,7}:{(2562,1),(2749,1),(2751,1)}
2670:{1,5,6,7}:{(2559,1),(2751,1)}
2671:{1,2,3,4,5}:{(2558,1),(2748,1)}
2672:{1,2,3,4,7}:{(2565,1),(2747,1),(2749,1)}
2673:{1,2,3,6,7}:{(2557,1),(2750,1),(2752,1)}
2674:{1,2,3,4,5,6}:{(2563,1),(2746,1)}
2675:{1,4,5,6,7}:{(2560,1),(2754,1),(2766,1),(2852,1)}
2676:{1,2,3,4,7}:{(2566,1),(2748,1),(2750,1)}
2677:{1,2,3,4,5,6}:{(2567,1),(2745,1)}
2678:{1,4,5,6,7}:{(2561,1),(2753,1),(2765,1),(2852,1)}
2679:{3,5,6}:{(2569,1),(2571,1),(2781,1)}
2680:{3,4,6,7}:{(2570,1),(2571,1),(2572,1),(2769,1),(2782,1)}
2681:{4,6,7}:{(2578,1),(2770,1)}
2682:{1,3,5,6}:{(2573,1),(2581,1),(2773,1),(2775,1)}
2683:{1,3,4,5,7}:{(2573,1),(2574,1),(2582,1),(2771,1),(2773,1),(2775,1),(2779,1),(2898,1)}
2684:{1,3,4,6,7}:{(2574,1),(2579,1),(2583,1),(2772,1),(2774,1),(2775,1),(2790,1),(2791,1),(2898,1)}
2685:{2,3,5,7}:{(2569,1),(2577,1),(2770,1),(2776,1),(2783,1)}
2686:{2,3,4,5,7}:{(2570,1),(2575,1),(2777,1),(2784,1)}
2687:{2,3,4,6}:{(2571,1),(2576,1),(2776,1),(2785,1)}
2688:{2,3,5,6,7}:{(2587,1),(2611,1),(2612,1),(2772,1),(2816,1),(2817,1),(2903,1)}
2689:{1,2,3,5}:{(2573,1),(2580,1),(2588,1),(2771,1)}
2690:{1,2,3,4,7}:{(2574,1),(2580,1),(2589,1),(2637,1),(2638,1),(2779,1),(2898,1)}
2691:{1,4,5,7}:{(2569,1),(2583,1),(2770,1),(2781,1),(2783,1)}
2692:{1,4,5,7}:{(2570,1),(2581,1),(2584,1),(2773,1),(2782,1)}
2693:{1,4,6}:{(2571,1),(2582,1),(2585,1)}
2694:{1,2,3,5,6,7}:{(2572,1),(2584,1),(2585,1),(2769,1),(2773,1),(2782,1),(2905,1),(2907,1)}
2695:{1,2,4,5,6}:{(2575,1),(2581,1),(2588,1),(2778,1),(2784,1),(2785,1)}
2696:{1,2,4,5,7}:{(2576,1),(2582,1),(2588,1),(2589,1),(2779,1),(2783,1),(2785,1)}
2697:{1,2,4,6,7}:{(2577,1),(2583,1),(2589,1),(2590,1),(2783,1),(2785,1)}
2698:{1,2,3,5,6,7}:{(2578,1),(2586,1),(2590,1),(2661,1),(2662,1),(2783,1),(2786,1),(2812,1),(2813,1),(2816,1),(2817,1),(2903,1),(2904,1)}
2699:{1,2,4,5,6,7}:{(2591,1),(2594,1),(2619,1),(2788,1),(2793,1),(2928,1)}
2700:{1,2,4,5,6,7}:{(2592,1),(2593,1),(2620,1),(2789,1),(2792,1),(2929,1)}
2701:{3,4,5,6,7}:{(2596,1),(2600,1),(2601,1),(2769,1),(2788,1),(2802,1),(2818,1),(2897,1)}
2702:{3,4,5,6,7}:{(2595,1),(2599,1),(2602,1),(2769,1),(2789,1),(2803,1),(2819,1),(2897,1)}
2703:{4,5,6}:{(2598,1),(2629,1)}
2704:{4,5,6}:{(2597,1),(2630,1)}
2705:{1,3,4}:{(2635,1)}
2706:{1,3,4}:{(2636,1)}
2707:{2,3,4,6,7}:{(2591,1),(2603,1),(2605,1),(2793,1)}
2708:{2,3,4,6,7}:{(2592,1),(2604,1),(2606,1),(2792,1)}
2709:{2,3,5,6}:{(2594,1),(2605,1),(2608,1),(2795,1)}
2710:{2,3,5,6}:{(2593,1),(2606,1),(2607,1),(2794,1)}
2711:{3,4,5,7}:{(2597,1),(2607,1),(2610,1),(2794,1),(2826,1)}
2712:{3,4,5,7}:{(2598,1),(2608,1),(2609,1),(2795,1),(2827,1)}
2713:{1,3,5,7}:{(2613,1),(2639,1),(2801,1)}
2714:{1,3,5,7}:{(2614,1),(2640,1),(2800,1)}
2715:{1,3,4,5,7}:{(2617,1),(2641,1),(2797,1),(2799,1),(2812,1)}
2716:{1,3,4,5,7}:{(2618,1),(2642,1),(2796,1),(2798,1),(2813,1)}
2717:{1,3,4,6}:{(2614,1),(2616,1),(2644,1),(2814,1)}
2718:{1,3,4,6}:{(2613,1),(2615,1),(2643,1),(2815,1)}
2719:{3,4,6,7}:{(2612,1),(2645,1),(2798,1),(2817,1)}
2720:{3,4,6,7}:{(2611,1),(2646,1),(2799,1),(2816,1)}
2721:{2,3,5,6}:{(2596,1),(2623,1),(2625,1),(2805,1),(2830,1)}
2722:{2,3,5,6}:{(2595,1),(2624,1),(2626,1),(2804,1),(2831,1)}
2723:{2,4,5,7}:{(2597,1),(2624,1),(2627,1),(2770,1),(2804,1)}
2724:{2,4,5,7}:{(2598,1),(2623,1),(2628,1),(2770,1),(2805,1)}
2725:{2,3,4,6,7}:{(2599,1),(2621,1),(2626,1),(2803,1),(2835,1)}
2726:{2,3,4,6,7}:{(2600,1),(2622,1),(2625,1),(2802,1),(2834,1)}
2727:{2,3,5,6,7}:{(2602,1),(2620,1),(2630,1),(2634,1),(2789,1)}
2728:{2,3,5,6,7}:{(2601,1),(2619,1),(2629,1),(2633,1),(2788,1)}
2729:{2,3,4,6,7}:{(2610,1),(2627,1),(2632,1),(2772,1),(2809,1),(2816,1),(2838,1)}
2730:{2,3,4,6,7}:{(2609,1),(2628,1),(2631,1),(2772,1),(2808,1),(2817,1),(2839,1)}
2731:{1,2,3,5,6}:{(2613,1),(2636,1),(2654,1),(2791,1),(2811,1),(2815,1),(2918,1)}
2732:{1,2,3,5,6}:{(2614,1),(2635,1),(2653,1),(2790,1),(2810,1),(2814,1),(2919,1)}
2733:{1,2,3,5,7}:{(2615,1),(2636,1),(2638,1),(2655,1),(2807,1),(2815,1),(2918,1)}
2734:{1,2,3,5,7}:{(2616,1),(2635,1),(2637,1),(2656,1),(2806,1),(2814,1),(2919,1)}
2735:{1,2,3,6,7}:{(2618,1),(2638,1),(2657,1),(2813,1),(2815,1),(2817,1)}
2736:{1,2,3,6,7}:{(2617,1),(2637,1),(2658,1),(2812,1),(2814,1),(2816,1)}
2737:{1,4,5,6}:{(2596,1),(2642,1),(2643,1),(2648,1),(2830,1)}
2738:{1,4,5,6}:{(2595,1),(2641,1),(2644,1),(2647,1),(2831,1)}
2739:{1,4,5,7}:{(2598,1),(2645,1),(2659,1),(2770,1),(2798,1),(2821,1)}
2740:{1,4,5,7}:{(2597,1),(2646,1),(2660,1),(2770,1),(2799,1),(2820,1)}
2741:{1,4,6,7}:{(2600,1),(2639,1),(2643,1),(2652,1)}
2742:{1,4,6,7}:{(2599,1),(2640,1),(2644,1),(2651,1)}
2743:{1,3,5,6,7}:{(2601,1),(2648,1),(2650,1),(2769,1),(2818,1)}
2744:{1,3,5,6,7}:{(2602,1),(2647,1),(2649,1),(2769,1),(2819,1)}
2745:{1,2,3,4,5,7}:{(2604,1),(2671,1),(2677,1),(2823,1)}
2746:{1,2,3,4,5,7}:{(2603,1),(2667,1),(2674,1),(2822,1)}
2747:{1,2,3,4,6}:{(2605,1),(2667,1),(2672,1),(2824,1)}
2748:{1,2,3,4,6}:{(2606,1),(2671,1),(2676,1),(2825,1)}
2749:{1,2,3,5,7}:{(2608,1),(2669,1),(2672,1),(2824,1),(2827,1)}
2750:{1,2,3,5,7}:{(2607,1),(2673,1),(2676,1),(2825,1),(2826,1)}
2751:{1,4,6,7}:{(2609,1),(2669,1),(2670,1),(2827,1)}
2752:{1,4,6,7}:{(2610,1),(2668,1),(2673,1),(2826,1)}
2753:{1,3,5,6,7}:{(2611,1),(2668,1),(2678,1),(2829,1)}
2754:{1,3,5,6,7}:{(2612,1),(2670,1),(2675,1),(2828,1)}
2755:{1,2,4,5,7}:{(2622,1),(2639,1),(2654,1),(2811,1),(2834,1)}
2756:{1,2,4,5,7}:{(2621,1),(2640,1),(2653,1),(2810,1),(2835,1)}
2757:{1,2,5,7}:{(2624,1),(2641,1),(2658,1),(2831,1)}
2758:{1,2,5,7}:{(2623,1),(2642,1),(2657,1),(2830,1)}
2759:{1,2,4,6}:{(2625,1),(2643,1),(2655,1),(2815,1),(2830,1)}
2760:{1,2,4,6}:{(2626,1),(2644,1),(2656,1),(2814,1),(2831,1)}
2761:{1,2,4,6,7}:{(2628,1),(2645,1),(2662,1),(2817,1),(2832,1)}
2762:{1,2,4,6,7}:{(2627,1),(2646,1),(2661,1),(2816,1),(2833,1)}
2763:{1,2,3,5,6}:{(2630,1),(2647,1),(2660,1),(2664,1),(2776,1),(2820,1),(2831,1),(2927,1)}
2764:{1,2,3,5,6}:{(2629,1),(2648,1),(2659,1),(2663,1),(2776,1),(2821,1),(2830,1),(2926,1)}
2765:{1,2,5,6,7}:{(2631,1),(2670,1),(2678,1),(2839,1)}
2766:{1,2,5,6,7}:{(2632,1),(2668,1),(2675,1),(2838,1)}
2767:{1,2,3,4,6,7}:{(2634,1),(2649,1),(2664,1),(2666,1),(2777,1),(2835,1),(2836,1),(2982,1)}
2768:{1,2,3,4,6,7}:{(2633,1),(2650,1),(2663,1),(2665,1),(2777,1),(2834,1),(2837,1),(2983,1)}
2769:{3,5,6,7}:{(2679,1),(2680,1),(2851,1)}
2770:{4,5,7}:{(2681,1),(2685,1),(2840,1)}
2771:{1,3,4,5}:{(2689,1),(2705,1),(2706,1),(2841,1)}
2772:{3,4,6,7}:{(2681,1),(2688,1),(2842,1),(2852,1)}
2773:{1,3,5,7}:{(2682,1),(2692,1),(2844,1)}
2774:{1,3,4,5,7}:{(2684,1),(2691,1),(2842,1),(2843,1),(2848,1),(2856,1),(2857,1)}
2775:{1,3,4,6}:{(2682,1),(2683,1),(2693,1),(2849,1)}
2776:{2,3,5,6}:{(2679,1),(2685,1),(2687,1),(2840,1),(2853,1)}
2777:{2,3,4,6,7}:{(2680,1),(2686,1),(2687,1),(2845,1),(2855,1)}
2778:{1,2,3,5,6}:{(2682,1),(2689,1),(2695,1),(2841,1),(2847,1),(2849,1)}
2779:{1,2,3,5,7}:{(2683,1),(2689,1),(2690,1),(2696,1),(2849,1)}
2780:{1,2,3,4,6,7}:{(2684,1),(2690,1),(2697,1),(2735,1),(2736,1),(2848,1),(2849,1),(2850,1),(2860,1),(2861,1),(2870,1),(2871,1),(2939,1)}
2781:{1,4,5,6}:{(2679,1),(2691,1),(2693,1),(2840,1),(2853,1)}
2782:{1,4,6,7}:{(2680,1),(2692,1),(2693,1),(2694,1)}
2783:{1,2,5,7}:{(2685,1),(2691,1),(2697,1),(2853,1)}
2784:{1,2,4,5,7}:{(2686,1),(2692,1),(2695,1),(2847,1),(2855,1)}
2785:{1,2,4,6}:{(2687,1),(2693,1),(2696,1),(2849,1),(2853,1)}
2786:{1,2,4,6,7}:{(2681,1),(2698,1),(2850,1),(2852,1),(2854,1),(2860,1),(2861,1),(2939,1)}
2787:{1,2,3,5,6,7}:{(2688,1),(2753,1),(2754,1),(2765,1),(2766,1),(2852,1),(2894,1),(2895,1),(2948,1)}
2788:{4,5,6,7}:{(2703,1),(2728,1)}
2789:{4,5,6,7}:{(2704,1),(2727,1)}
2790:{1,3,4,6}:{(2705,1),(2732,1),(2856,1),(2859,1)}
2791:{1,3,4,6}:{(2706,1),(2731,1),(2857,1),(2858,1)}
2792:{2,3,5,6,7}:{(2700,1),(2708,1),(2710,1),(2863,1)}
2793:{2,3,5,6,7}:{(2699,1),(2707,1),(2709,1),(2862,1)}
2794:{3,4,5,6}:{(2704,1),(2710,1),(2711,1),(2885,1)}
2795:{3,4,5,6}:{(2703,1),(2709,1),(2712,1),(2884,1)}
2796:{1,3,4,5,6}:{(2716,1),(2718,1),(2737,1),(2857,1),(2866,1),(2875,1)}
2797:{1,3,4,5,6}:{(2715,1),(2717,1),(2738,1),(2856,1),(2867,1),(2874,1)}
2798:{3,4,5,7}:{(2719,1),(2739,1),(2866,1),(2876,1)}
2799:{3,4,5,7}:{(2720,1),(2740,1),(2867,1),(2877,1)}
2800:{1,3,4,6,7}:{(2714,1),(2717,1),(2742,1),(2859,1),(2878,1)}
2801:{1,3,4,6,7}:{(2713,1),(2718,1),(2741,1),(2858,1),(2879,1)}
2802:{2,3,5,6,7}:{(2701,1),(2721,1),(2726,1),(2869,1),(2888,1)}
2803:{2,3,5,6,7}:{(2702,1),(2722,1),(2725,1),(2868,1),(2889,1)}
2804:{2,4,5,6}:{(2704,1),(2722,1),(2723,1),(2840,1)}
2805:{2,4,5,6}:{(2703,1),(2721,1),(2724,1),(2840,1)}
2806:{1,2,3,4,7}:{(2705,1),(2734,1),(2859,1),(2861,1),(2871,1)}
2807:{1,2,3,4,7}:{(2706,1),(2733,1),(2858,1),(2860,1),(2870,1)}
2808:{2,3,4,5,7}:{(2712,1),(2724,1),(2730,1),(2842,1),(2873,1),(2876,1),(2892,1)}
2809:{2,3,4,5,7}:{(2711,1),(2723,1),(2729,1),(2842,1),(2872,1),(2877,1),(2893,1)}
2810:{1,2,3,5,7}:{(2714,1),(2732,1),(2756,1),(2859,1),(2878,1)}
2811:{1,2,3,5,7}:{(2713,1),(2731,1),(2755,1),(2858,1),(2879,1)}
2812:{1,2,3,5,7}:{(2715,1),(2736,1),(2757,1),(2861,1),(2874,1),(2877,1)}
2813:{1,2,3,5,7}:{(2716,1),(2735,1),(2758,1),(2860,1),(2875,1),(2876,1)}
2814:{1,2,3,6}:{(2717,1),(2734,1),(2760,1)}
2815:{1,2,3,6}:{(2718,1),(2733,1),(2759,1)}
2816:{2,3,6,7}:{(2720,1),(2762,1),(2877,1)}
2817:{2,3,6,7}:{(2719,1),(2761,1),(2876,1)}
2818:{1,4,5,6,7}:{(2701,1),(2737,1),(2741,1),(2743,1),(2888,1)}
2819:{1,4,5,6,7}:{(2702,1),(2738,1),(2742,1),(2744,1),(2889,1)}
2820:{1,4,5,6}:{(2704,1),(2740,1),(2763,1),(2840,1),(2867,1)}
2821:{1,4,5,6}:{(2703,1),(2739,1),(2764,1),(2840,1),(2866,1)}
2822:{1,2,3,4,6,7}:{(2707,1),(2746,1),(2747,1),(2883,1)}
2823:{1,2,3,4,6,7}:{(2708,1),(2745,1),(2748,1),(2882,1)}
2824:{1,2,3,5,6}:{(2709,1),(2747,1),(2749,1),(2884,1)}
2825:{1,2,3,5,6}:{(2710,1),(2748,1),(2750,1),(2885,1)}
2826:{1,4,5,7}:{(2711,1),(2750,1),(2752,1),(2885,1)}
2827:{1,4,5,7}:{(2712,1),(2749,1),(2751,1),(2884,1)}
2828:{1,3,4,6,7}:{(2719,1),(2751,1),(2754,1),(2852,1),(2886,1),(2895,1)}
2829:{1,3,4,6,7}:{(2720,1),(2752,1),(2753,1),(2852,1),(2887,1),(2894,1)}
2830:{1,2,5,6}:{(2721,1),(2737,1),(2758,1),(2759,1)}
2831:{1,2,5,6}:{(2722,1),(2738,1),(2757,1),(2760,1)}
2832:{1,2,4,5,7}:{(2724,1),(2739,1),(2758,1),(2761,1),(2860,1),(2876,1),(2890,1)}
2833:{1,2,4,5,7}:{(2723,1),(2740,1),(2757,1),(2762,1),(2861,1),(2877,1),(2891,1)}
2834:{1,2,4,6,7}:{(2726,1),(2741,1),(2755,1),(2759,1),(2879,1),(2888,1)}
2835:{1,2,4,6,7}:{(2725,1),(2742,1),(2756,1),(2760,1),(2878,1),(2889,1)}
2836:{1,2,3,5,6,7}:{(2727,1),(2744,1),(2763,1),(2767,1),(2845,1),(2880,1),(2889,1),(2959,1)}
2837:{1,2,3,5,6,7}:{(2728,1),(2743,1),(2764,1),(2768,1),(2845,1),(2881,1),(2888,1),(2960,1)}
2838:{1,2,4,6,7}:{(2729,1),(2752,1),(2766,1),(2852,1),(2893,1),(2894,1)}
2839:{1,2,4,6,7}:{(2730,1),(2751,1),(2765,1),(2852,1),(2892,1),(2895,1)}
2840:{4,5,6}:{(2770,1),(2776,1)}
2841:{1,3,4,6}:{(2771,1),(2778,1),(2898,1)}
2842:{3,4,5,7}:{(2770,1),(2772,1),(2900,1),(2903,1),(2906,1)}
2843:{1,3,4,5,6}:{(2774,1),(2775,1),(2781,1),(2900,1),(2904,1)}
2844:{1,3,4,6,7}:{(2773,1),(2775,1),(2782,1),(2898,1),(2905,1)}
2845:{2,3,5,6,7}:{(2769,1),(2776,1),(2777,1),(2897,1),(2907,1)}
2846:{1,2,3,4,5,7}:{(2771,1),(2779,1),(2806,1),(2807,1),(2898,1),(2899,1),(2902,1),(2910,1),(2911,1),(2918,1),(2919,1),(2973,1)}
2847:{1,2,3,5,7}:{(2773,1),(2778,1),(2784,1),(2898,1),(2905,1)}
2848:{1,2,3,5,7}:{(2774,1),(2780,1),(2783,1),(2899,1),(2903,1),(2904,1),(2918,1),(2919,1)}
2849:{1,2,3,6}:{(2775,1),(2779,1),(2785,1)}
2850:{2,3,4,6,7}:{(2772,1),(2786,1),(2816,1),(2817,1),(2903,1),(2914,1),(2915,1),(2972,1)}
2851:{1,4,5,6,7}:{(2769,1),(2781,1),(2782,1),(2897,1),(2907,1)}
2852:{1,4,6,7}:{(2772,1),(2787,1),(2906,1)}
2853:{1,2,5,6}:{(2776,1),(2781,1),(2783,1),(2785,1)}
2854:{1,2,4,5,7}:{(2770,1),(2783,1),(2786,1),(2903,1),(2906,1),(2908,1)}
2855:{1,2,4,6,7}:{(2777,1),(2782,1),(2784,1),(2785,1),(2905,1),(2907,1)}
2856:{1,3,4,5}:{(2790,1),(2919,1)}
2857:{1,3,4,5}:{(2791,1),(2918,1)}
2858:{1,3,4,7}:{(2791,1),(2811,1)}
2859:{1,3,4,7}:{(2790,1),(2810,1)}
2860:{1,2,4,7}:{(2813,1),(2912,1),(2915,1)}
2861:{1,2,4,7}:{(2812,1),(2913,1),(2914,1)}
2862:{3,4,5,6,7}:{(2788,1),(2793,1),(2795,1),(2928,1)}
2863:{3,4,5,6,7}:{(2789,1),(2792,1),(2794,1),(2929,1)}
2864:{1,3,4,5,6,7}:{(2797,1),(2800,1),(2819,1),(2910,1),(2917,1),(2925,1)}
2865:{1,3,4,5,6,7}:{(2796,1),(2801,1),(2818,1),(2911,1),(2916,1),(2924,1)}
2866:{3,4,5,6}:{(2798,1),(2821,1),(2926,1)}
2867:{3,4,5,6}:{(2799,1),(2820,1),(2927,1)}
2868:{2,4,5,6,7}:{(2789,1),(2803,1),(2804,1),(2897,1)}
2869:{2,4,5,6,7}:{(2788,1),(2802,1),(2805,1),(2897,1)}
2870:{1,2,3,4,6}:{(2791,1),(2807,1),(2815,1),(2912,1),(2918,1)}
2871:{1,2,3,4,6}:{(2790,1),(2806,1),(2814,1),(2913,1),(2919,1)}
2872:{2,3,4,5,6}:{(2794,1),(2804,1),(2809,1),(2900,1),(2927,1),(2935,1)}
2873:{2,3,4,5,6}:{(2795,1),(2805,1),(2808,1),(2900,1),(2926,1),(2934,1)}
2874:{1,2,3,5,6}:{(2797,1),(2812,1),(2814,1),(2831,1),(2913,1),(2919,1),(2927,1)}
2875:{1,2,3,5,6}:{(2796,1),(2813,1),(2815,1),(2830,1),(2912,1),(2918,1),(2926,1)}
2876:{2,3,5,7}:{(2798,1),(2817,1),(2832,1),(2915,1),(2926,1)}
2877:{2,3,5,7}:{(2799,1),(2816,1),(2833,1),(2914,1),(2927,1)}
2878:{1,2,3,6,7}:{(2800,1),(2810,1),(2814,1),(2835,1)}
2879:{1,2,3,6,7}:{(2801,1),(2811,1),(2815,1),(2834,1)}
2880:{1,4,5,6,7}:{(2789,1),(2820,1),(2836,1),(2897,1),(2917,1)}
2881:{1,4,5,6,7}:{(2788,1),(2821,1),(2837,1),(2897,1),(2916,1)}
2882:{1,2,3,5,6,7}:{(2792,1),(2823,1),(2825,1),(2929,1)}
2883:{1,2,3,5,6,7}:{(2793,1),(2822,1),(2824,1),(2928,1)}
2884:{1,4,5,6}:{(2795,1),(2824,1),(2827,1)}
2885:{1,4,5,6}:{(2794,1),(2825,1),(2826,1)}
2886:{1,3,4,5,7}:{(2798,1),(2827,1),(2828,1),(2906,1),(2931,1),(2937,1)}
2887:{1,3,4,5,7}:{(2799,1),(2826,1),(2829,1),(2906,1),(2930,1),(2936,1)}
2888:{1,2,5,6,7}:{(2802,1),(2818,1),(2830,1),(2834,1)}
2889:{1,2,5,6,7}:{(2803,1),(2819,1),(2831,1),(2835,1)}
2890:{1,2,4,5,6}:{(2805,1),(2821,1),(2830,1),(2832,1),(2912,1),(2926,1)}
2891:{1,2,4,5,6}:{(2804,1),(2820,1),(2831,1),(2833,1),(2913,1),(2927,1)}
2892:{1,2,4,5,7}:{(2808,1),(2827,1),(2839,1),(2906,1),(2934,1),(2937,1)}
2893:{1,2,4,5,7}:{(2809,1),(2826,1),(2838,1),(2906,1),(2935,1),(2936,1)}
2894:{1,2,3,6,7}:{(2816,1),(2829,1),(2838,1),(2936,1)}
2895:{1,2,3,6,7}:{(2817,1),(2828,1),(2839,1),(2937,1)}
2896:{1,3,4,5,6}:{(2841,1),(2856,1),(2857,1),(2938,1),(2942,1),(2949,1),(2950,1)}
2897:{4,5,6,7}:{(2840,1),(2845,1)}
2898:{1,3,4,7}:{(2841,1),(2847,1)}
2899:{1,2,4,5,7}:{(2848,1),(2860,1),(2861,1),(2939,1),(2941,1),(2951,1),(2952,1)}
2900:{3,4,5,6}:{(2840,1),(2842,1),(2944,1),(2946,1)}
2901:{1,3,4,5,6,7}:{(2843,1),(2844,1),(2851,1),(2938,1),(2940,1),(2945,1)}
2902:{1,2,3,4,6}:{(2841,1),(2846,1),(2849,1),(2939,1),(2942,1),(2949,1),(2950,1)}
2903:{2,3,5,7}:{(2842,1),(2850,1),(2854,1),(2944,1)}
2904:{1,2,3,5,6}:{(2843,1),(2848,1),(2849,1),(2853,1),(2939,1),(2944,1)}
2905:{1,2,3,6,7}:{(2844,1),(2847,1),(2849,1),(2855,1)}
2906:{1,4,5,7}:{(2842,1),(2852,1),(2946,1),(2948,1)}
2907:{1,2,5,6,7}:{(2845,1),(2851,1),(2853,1),(2855,1)}
2908:{1,2,4,5,6}:{(2840,1),(2853,1),(2854,1),(2939,1),(2944,1),(2946,1)}
2909:{1,2,3,4,6,7}:{(2850,1),(2852,1),(2894,1),(2895,1),(2948,1),(2961,1),(2962,1),(2994,1)}
2910:{1,3,4,5,7}:{(2856,1),(2859,1),(2950,1),(2957,1)}
2911:{1,3,4,5,7}:{(2857,1),(2858,1),(2949,1),(2958,1)}
2912:{1,2,4,6}:{(2860,1),(2875,1),(2951,1),(2956,1)}
2913:{1,2,4,6}:{(2861,1),(2874,1),(2952,1),(2955,1)}
2914:{2,3,4,7}:{(2861,1),(2877,1),(2955,1)}
2915:{2,3,4,7}:{(2860,1),(2876,1),(2956,1)}
2916:{3,4,5,6,7}:{(2866,1),(2881,1),(2960,1)}
2917:{3,4,5,6,7}:{(2867,1),(2880,1),(2959,1)}
2918:{1,2,3,5}:{(2857,1),(2870,1),(2951,1)}
2919:{1,2,3,5}:{(2856,1),(2871,1),(2952,1)}
2920:{1,2,3,4,6,7}:{(2858,1),(2870,1),(2879,1),(2949,1),(2954,1),(2958,1)}
2921:{1,2,3,4,6,7}:{(2859,1),(2871,1),(2878,1),(2950,1),(2953,1),(2957,1)}
2922:{2,3,4,5,6,7}:{(2863,1),(2868,1),(2872,1),(2940,1),(2959,1),(2966,1)}
2923:{2,3,4,5,6,7}:{(2862,1),(2869,1),(2873,1),(2940,1),(2960,1),(2965,1)}
2924:{1,2,3,5,6,7}:{(2865,1),(2875,1),(2879,1),(2888,1),(2954,1),(2958,1),(2960,1)}
2925:{1,2,3,5,6,7}:{(2864,1),(2874,1),(2878,1),(2889,1),(2953,1),(2957,1),(2959,1)}
2926:{2,3,5,6}:{(2866,1),(2876,1),(2890,1),(2956,1)}
2927:{2,3,5,6}:{(2867,1),(2877,1),(2891,1),(2955,1)}
2928:{1,4,5,6,7}:{(2862,1),(2883,1),(2884,1)}
2929:{1,4,5,6,7}:{(2863,1),(2882,1),(2885,1)}
2930:{1,3,4,5,6}:{(2867,1),(2885,1),(2887,1),(2946,1),(2968,1)}
2931:{1,3,4,5,6}:{(2866,1),(2884,1),(2886,1),(2946,1),(2967,1)}
2932:{1,2,4,5,6,7}:{(2869,1),(2881,1),(2888,1),(2890,1),(2954,1),(2960,1)}
2933:{1,2,4,5,6,7}:{(2868,1),(2880,1),(2889,1),(2891,1),(2953,1),(2959,1)}
2934:{1,2,4,5,6}:{(2873,1),(2884,1),(2892,1),(2946,1),(2967,1)}
2935:{1,2,4,5,6}:{(2872,1),(2885,1),(2893,1),(2946,1),(2968,1)}
2936:{1,2,3,5,7}:{(2877,1),(2887,1),(2893,1),(2894,1),(2961,1),(2968,1)}
2937:{1,2,3,5,7}:{(2876,1),(2886,1),(2892,1),(2895,1),(2962,1),(2967,1)}
2938:{1,3,4,5,7}:{(2896,1),(2898,1),(2969,1),(2973,1)}
2939:{1,2,4,6}:{(2899,1),(2904,1),(2972,1)}
2940:{3,4,5,6,7}:{(2897,1),(2900,1),(2974,1),(2975,1)}
2941:{2,3,4,5,7}:{(2899,1),(2903,1),(2914,1),(2915,1),(2972,1),(2980,1),(2981,1)}
2942:{1,2,3,5,6}:{(2896,1),(2902,1),(2918,1),(2919,1),(2970,1),(2973,1)}
2943:{1,2,3,4,6,7}:{(2898,1),(2902,1),(2905,1),(2969,1),(2971,1),(2973,1)}
2944:{2,3,5,6}:{(2900,1),(2903,1),(2908,1),(2972,1)}
2945:{1,2,3,5,6,7}:{(2901,1),(2904,1),(2905,1),(2907,1),(2971,1),(2973,1),(2974,1)}
2946:{1,4,5,6}:{(2900,1),(2906,1),(2977,1)}
2947:{1,2,4,5,6,7}:{(2897,1),(2907,1),(2908,1),(2971,1),(2974,1),(2975,1)}
2948:{1,2,3,5,7}:{(2903,1),(2906,1),(2909,1),(2977,1)}
2949:{1,3,4,6}:{(2911,1),(2984,1)}
2950:{1,3,4,6}:{(2910,1),(2985,1)}
2951:{1,2,4,5}:{(2912,1),(2918,1),(2981,1)}
2952:{1,2,4,5}:{(2913,1),(2919,1),(2980,1)}
2953:{1,2,4,6,7}:{(2913,1),(2925,1),(2978,1),(2982,1)}
2954:{1,2,4,6,7}:{(2912,1),(2924,1),(2979,1),(2983,1)}
2955:{2,3,4,6}:{(2913,1),(2914,1),(2927,1),(2980,1)}
2956:{2,3,4,6}:{(2912,1),(2915,1),(2926,1),(2981,1)}
2957:{1,2,3,5,7}:{(2910,1),(2919,1),(2921,1),(2978,1),(2985,1)}
2958:{1,2,3,5,7}:{(2911,1),(2918,1),(2920,1),(2979,1),(2984,1)}
2959:{2,3,5,6,7}:{(2917,1),(2927,1),(2933,1),(2982,1)}
2960:{2,3,5,6,7}:{(2916,1),(2926,1),(2932,1),(2983,1)}
2961:{1,2,3,4,7}:{(2914,1),(2936,1),(2987,1)}
2962:{1,2,3,4,7}:{(2915,1),(2937,1),(2986,1)}
2963:{1,3,4,5,6,7}:{(2917,1),(2929,1),(2930,1),(2975,1),(2989,1)}
2964:{1,3,4,5,6,7}:{(2916,1),(2928,1),(2931,1),(2975,1),(2988,1)}
2965:{1,2,4,5,6,7}:{(2923,1),(2928,1),(2934,1),(2975,1),(2988,1)}
2966:{1,2,4,5,6,7}:{(2922,1),(2929,1),(2935,1),(2975,1),(2989,1)}
2967:{1,2,3,5,6}:{(2926,1),(2931,1),(2934,1),(2937,1),(2986,1)}
2968:{1,2,3,5,6}:{(2927,1),(2930,1),(2935,1),(2936,1),(2987,1)}
2969:{1,3,4,6,7}:{(2938,1),(2949,1),(2950,1),(2993,1)}
2970:{1,2,4,5,6}:{(2939,1),(2942,1),(2951,1),(2952,1),(2990,1),(2991,1)}
2971:{1,2,4,6,7}:{(2939,1),(2945,1),(2990,1),(2992,1)}
2972:{2,3,4,6}:{(2939,1),(2941,1),(2944,1)}
2973:{1,2,3,5,7}:{(2938,1),(2942,1),(2943,1),(2990,1)}
2974:{2,3,5,6,7}:{(2940,1),(2944,1),(2947,1),(2992,1)}
2975:{1,4,5,6,7}:{(2940,1),(2946,1),(2995,1)}
2976:{1,2,3,4,5,7}:{(2941,1),(2948,1),(2961,1),(2962,1),(2994,1),(3000,1),(3001,1)}
2977:{1,2,3,5,6}:{(2944,1),(2946,1),(2948,1),(2994,1)}
2978:{1,2,4,5,7}:{(2952,1),(2953,1),(2957,1),(2997,1),(2998,1)}
2979:{1,2,4,5,7}:{(2951,1),(2954,1),(2958,1),(2996,1),(2999,1)}
2980:{2,3,4,5}:{(2952,1),(2955,1)}
2981:{2,3,4,5}:{(2951,1),(2956,1)}
2982:{2,3,4,6,7}:{(2953,1),(2955,1),(2959,1),(2998,1)}
2983:{2,3,4,6,7}:{(2954,1),(2956,1),(2960,1),(2999,1)}
2984:{1,2,3,5,6}:{(2949,1),(2958,1),(2996,1)}
2985:{1,2,3,5,6}:{(2950,1),(2957,1),(2997,1)}
2986:{1,2,3,4,6}:{(2956,1),(2962,1),(2967,1),(3001,1)}
2987:{1,2,3,4,6}:{(2955,1),(2961,1),(2968,1),(3000,1)}
2988:{1,2,3,5,6,7}:{(2960,1),(2964,1),(2965,1),(2967,1),(3002,1)}
2989:{1,2,3,5,6,7}:{(2959,1),(2963,1),(2966,1),(2968,1),(3003,1)}
2990:{1,2,4,5,7}:{(2970,1),(2971,1),(2973,1),(3005,1)}
2991:{2,3,4,5,6}:{(2970,1),(2972,1),(2980,1),(2981,1),(3005,1)}
2992:{2,3,4,6,7}:{(2971,1),(2972,1),(2974,1),(3005,1)}
2993:{1,2,3,5,6,7}:{(2969,1),(2973,1),(2984,1),(2985,1),(3004,1)}
2994:{1,2,3,4,6}:{(2972,1),(2976,1),(2977,1)}
2995:{1,2,3,5,6,7}:{(2974,1),(2975,1),(2977,1),(3007,1)}
2996:{1,2,4,5,6}:{(2979,1),(2984,1),(3008,1)}
2997:{1,2,4,5,6}:{(2978,1),(2985,1),(3009,1)}
2998:{2,3,4,5,7}:{(2978,1),(2980,1),(2982,1),(3009,1)}
2999:{2,3,4,5,7}:{(2979,1),(2981,1),(2983,1),(3008,1)}
3000:{1,2,3,4,5}:{(2980,1),(2987,1)}
3001:{1,2,3,4,5}:{(2981,1),(2986,1)}
3002:{1,2,3,4,6,7}:{(2983,1),(2986,1),(2988,1),(3010,1)}
3003:{1,2,3,4,6,7}:{(2982,1),(2987,1),(2989,1),(3011,1)}
3004:{1,2,4,5,6,7}:{(2990,1),(2993,1),(2996,1),(2997,1),(3012,1)}
3005:{2,3,4,5,7}:{(2990,1),(2991,1),(2992,1)}
3006:{1,2,3,4,5,6}:{(2991,1),(2994,1),(3000,1),(3001,1),(3013,1)}
3007:{1,2,3,4,6,7}:{(2992,1),(2994,1),(2995,1),(3013,1)}
3008:{2,3,4,5,6}:{(2996,1),(2999,1)}
3009:{2,3,4,5,6}:{(2997,1),(2998,1)}
3010:{1,2,3,4,5,7}:{(2999,1),(3001,1),(3002,1),(3015,1)}
3011:{1,2,3,4,5,7}:{(2998,1),(3000,1),(3003,1),(3014,1)}
3012:{2,3,4,5,6,7}:{(3004,1),(3005,1),(3008,1),(3009,1)}
3013:{1,2,3,4,5,7}:{(3005,1),(3006,1),(3007,1)}
3014:{1,2,3,4,5,6}:{(3009,1),(3011,1)}
3015:{1,2,3,4,5,6}:{(3008,1),(3010,1)}
3016:{1,2,3,4,5,6,7}:{(3012,1),(3013,1),(3014,1),(3015,1)}