0:{1}:{(3,1)}
1:{3}:{(4,1),(6,1)}
2:{}:{}
3:{3}:{(0,1),(2,1),(11,1)}
4:{1}:{(1,1),(2,1)}
5:{4}:{(2,1),(21,1),(27,1)}
6:{4}:{(1,1),(25,1)}
7:{1,4}:{(0,1),(11,1),(20,1),(26,1),(88,1),(178,1),(473,1)}
8:{1,6}:{(0,1),(12,1),(24,1),(473,1),(511,1)}
9:{6}:{(2,1),(23,1)}
10:{3,6}:{(1,1),(14,1),(16,1),(22,1)}
11:{4}:{(3,1),(28,1),(32,1)}
12:{3,6}:{(3,1),(8,1),(9,1),(29,1),(33,1),(288,1),(622,1)}
13:{1,4}:{(4,1),(5,1),(6,1),(31,1),(37,1),(56,1),(111,1)}
14:{1,6}:{(4,1),(9,1),(10,1),(36,1),(602,1)}
15:{1,3}:{(3,1),(4,1),(31,1),(35,1),(56,1),(276,1),(316,1),(3919,1)}
16:{4,6}:{(6,1),(10,1),(41,1),(43,1),(50,1)}
17:{1,4,6}:{(7,1),(8,1),(29,1),(39,1),(44,1),(47,1),(48,1),(144,1),(148,1)}
18:{4,6}:{(5,1),(9,1),(40,1),(42,1),(46,1),(49,1),(143,1)}
19:{3,4}:{(6,1),(31,1),(53,1),(55,1),(111,1),(1138,1),(1881,1),(2947,1)}
20:{3}:{(7,1)}
21:{3}:{(5,1),(56,1)}
22:{3,5,7}:{(10,1),(36,1),(41,1),(43,1),(112,1),(114,1)}
23:{5,7}:{(9,1),(40,1),(42,1)}
24:{1,5,7}:{(8,1),(33,1),(39,1),(44,1),(161,1),(165,1),(355,1),(578,1),(581,1)}
25:{2,5}:{(6,1),(41,1),(50,1)}
26:{1,2,5}:{(7,1),(28,1),(32,1),(39,1),(48,1),(51,1),(116,1),(129,1),(137,1)}
27:{2,5}:{(5,1),(28,1),(32,1),(40,1),(49,1)}
28:{5}:{(11,1),(58,1)}
29:{4,6}:{(11,1),(12,1),(57,1),(58,1),(59,1),(65,1),(178,1)}
30:{3,4}:{(11,1),(20,1),(21,1),(60,1),(66,1),(72,1),(86,1),(88,1),(262,1)}
31:{3}:{(13,1)}
32:{2}:{(11,1)}
33:{3,5,7}:{(12,1),(23,1),(24,1),(57,1),(59,1),(80,1),(82,1),(83,1),(85,1),(398,1),(401,1),(441,1)}
34:{1,4,6}:{(13,1),(14,1),(16,1),(18,1),(62,1),(68,1),(70,1),(74,1),(98,1),(180,1),(186,1),(253,1)}
35:{1,4}:{(11,1),(15,1),(63,1),(69,1),(75,1)}
36:{1,5,7}:{(14,1),(22,1),(23,1),(68,1),(70,1),(427,1)}
37:{1,2,5}:{(13,1),(25,1),(27,1),(67,1),(68,1),(69,1),(74,1),(75,1)}
38:{1,3,6}:{(12,1),(14,1),(15,1),(62,1),(71,1),(76,1),(98,1),(405,1),(436,1),(437,1),(462,1),(472,1),(473,1),(925,1),(1001,1),(2330,1),(3486,1)}
39:{1,5}:{(17,1),(57,1),(82,1),(231,1)}
40:{5}:{(18,1)}
41:{5}:{(16,1)}
42:{4,7}:{(18,1),(23,1),(83,1),(94,1)}
43:{4,7}:{(16,1),(22,1),(92,1),(180,1)}
44:{1,4,7}:{(17,1),(24,1),(59,1),(85,1),(93,1),(239,1),(253,1),(786,1)}
45:{3,4,6}:{(16,1),(19,1),(62,1),(81,1),(84,1),(95,1),(99,1),(180,1),(186,1),(227,1),(233,1),(439,1),(521,1)}
46:{3,6}:{(18,1),(21,1),(80,1),(83,1),(98,1)}
47:{3,6}:{(17,1),(20,1),(82,1),(85,1)}
48:{1,2,6}:{(17,1),(26,1),(58,1),(65,1),(93,1),(97,1),(209,1),(245,1)}
49:{2,6}:{(18,1),(27,1),(58,1),(94,1),(246,1)}
50:{2,6}:{(16,1),(25,1),(92,1)}
51:{2,3,5}:{(20,1),(26,1),(60,1),(66,1),(82,1),(88,1),(97,1),(175,1),(231,1),(245,1)}
52:{2,3,5}:{(21,1),(27,1),(60,1),(66,1),(80,1),(86,1),(96,1),(102,1),(175,1),(232,1),(246,1),(262,1),(531,1),(547,1),(959,1),(1013,1)}
53:{2,3,5}:{(19,1),(25,1),(81,1),(87,1),(95,1),(103,1),(832,1),(874,1)}
54:{1,3}:{(20,1),(72,1),(262,1),(473,1),(3486,1)}
55:{1,4}:{(19,1),(73,1),(103,1),(3486,1)}
56:{1}:{(21,1)}
57:{5}:{(29,1)}
58:{6}:{(28,1),(105,1)}
59:{4,7}:{(29,1),(33,1),(105,1),(118,1),(143,1),(144,1),(565,1)}
60:{3,5}:{(28,1),(30,1),(108,1),(110,1),(129,1)}
61:{3,4,6}:{(29,1),(30,1),(46,1),(47,1),(107,1),(108,1),(109,1),(120,1),(130,1),(143,1),(144,1),(148,1),(149,1),(279,1),(280,1),(287,1),(288,1),(362,1),(363,1),(389,1),(598,1),(617,1),(618,1),(715,1),(742,1),(1092,1),(1121,1),(1255,1),(1287,1),(1795,1),(2947,1)}
62:{3,6}:{(31,1),(34,1),(112,1),(114,1),(363,1)}
63:{3,4}:{(31,1),(35,1),(111,1),(113,1),(124,1),(283,1),(316,1)}
64:{2,5}:{(28,1),(32,1),(117,1),(119,1),(299,1)}
65:{2,6}:{(29,1),(32,1),(116,1),(118,1)}
66:{2,3}:{(30,1),(32,1),(122,1),(137,1)}
67:{2,3,5}:{(31,1),(37,1),(111,1),(112,1),(113,1),(123,1),(124,1),(286,1),(303,1),(309,1)}
68:{1,5}:{(34,1),(40,1),(41,1),(112,1),(286,1)}
69:{1,5}:{(28,1),(35,1),(113,1),(126,1)}
70:{1,4,7}:{(34,1),(36,1),(42,1),(43,1),(114,1),(134,1),(165,1),(293,1)}
71:{1,4,6}:{(29,1),(35,1),(38,1),(115,1),(125,1),(126,1),(128,1),(136,1),(319,1),(1287,1),(3919,1)}
72:{1,4}:{(30,1),(54,1),(56,1),(129,1),(137,1)}
73:{1,3}:{(31,1),(55,1),(56,1),(1881,1)}
74:{1,2,6}:{(34,1),(37,1),(49,1),(50,1),(123,1),(126,1),(134,1),(303,1),(392,1)}
75:{1,2}:{(32,1),(35,1),(124,1)}
76:{1,3,5,7}:{(33,1),(36,1),(38,1),(112,1),(114,1),(125,1),(128,1),(161,1),(162,1),(164,1),(165,1),(296,1),(323,1),(363,1),(578,1),(581,1),(646,1),(651,1),(685,1),(754,1),(1033,1),(1203,1),(1204,1),(1900,1),(3919,1)}
77:{1,4,5,7}:{(39,1),(44,1),(106,1),(139,1),(144,1),(145,1),(152,1),(320,1),(323,1),(349,1),(353,1),(355,1),(382,1),(653,1),(654,1),(655,1),(662,1),(685,1),(748,1),(1082,1),(1090,1),(1169,1),(1308,1),(1772,1),(1776,1),(1795,1),(1838,1),(1900,1),(1953,1),(1954,1),(2638,1),(2731,1),(2802,1),(2861,1),(2863,1),(3830,1),(3844,1),(3919,1),(3946,1),(3948,1),(4860,1)}
78:{4,5,7}:{(40,1),(42,1),(140,1),(143,1),(147,1),(151,1),(350,1),(354,1),(357,1),(1772,1),(2861,1),(2863,1),(5095,1)}
79:{4,5,7}:{(41,1),(43,1),(141,1),(142,1),(146,1),(153,1),(352,1)}
80:{3,5}:{(40,1),(46,1),(143,1),(161,1),(363,1)}
81:{3,5}:{(41,1),(45,1),(142,1),(160,1),(286,1)}
82:{3,5}:{(39,1),(47,1),(144,1)}
83:{3,7}:{(42,1),(46,1),(165,1)}
84:{3,4,7}:{(43,1),(45,1),(114,1),(146,1),(157,1),(163,1),(293,1),(352,1),(724,1)}
85:{3,7}:{(44,1),(47,1),(363,1),(1033,1)}
86:{4}:{(52,1)}
87:{2,4,5}:{(53,1),(111,1),(142,1),(150,1),(286,1),(303,1),(309,1),(595,1),(627,1),(631,1),(1138,1)}
88:{4}:{(51,1)}
89:{2,5,6}:{(41,1),(50,1),(141,1),(153,1),(1888,1),(1947,1),(2045,1)}
90:{2,5,6}:{(40,1),(49,1),(104,1),(116,1),(140,1),(151,1),(300,1),(2575,1),(2619,1),(2919,1),(2945,1)}
91:{1,2,5,6}:{(39,1),(48,1),(104,1),(116,1),(139,1),(152,1),(154,1),(300,1),(322,1),(339,1),(688,1),(695,1),(748,1),(764,1),(1052,1),(1169,1),(1292,1),(1302,1),(1689,1),(1714,1),(1743,1),(1774,1),(1776,1),(1825,1),(1833,1),(2044,1),(2045,1),(2615,1),(2876,1),(3830,1),(5894,1),(6106,1)}
92:{2,7}:{(43,1),(50,1),(303,1)}
93:{1,2,7}:{(44,1),(48,1),(105,1),(118,1),(158,1),(324,1),(392,1),(1064,1)}
94:{2,7}:{(42,1),(49,1),(105,1)}
95:{2,3,6}:{(45,1),(50,1),(53,1),(150,1),(157,1),(169,1),(303,1),(650,1),(1100,1)}
96:{2,3,6}:{(46,1),(49,1),(52,1),(108,1),(149,1),(159,1),(171,1),(269,1),(389,1),(1255,1)}
97:{2,3,6}:{(47,1),(48,1),(51,1),(108,1),(148,1),(158,1),(269,1)}
98:{1,6}:{(46,1),(56,1),(161,1),(165,1),(1255,1)}
99:{1,4,6}:{(45,1),(55,1),(131,1),(160,1),(163,1),(169,1),(321,1),(381,1)}
100:{1,3,6}:{(47,1),(54,1),(130,1),(162,1),(164,1),(363,1),(389,1),(617,1),(618,1),(1121,1)}
101:{1,2,3,5}:{(51,1),(54,1),(129,1),(137,1),(162,1),(168,1),(170,1),(275,1),(332,1),(339,1),(348,1),(376,1),(391,1),(618,1),(649,1),(703,1),(1209,1),(1250,1),(1902,1),(1988,1),(2655,1),(3583,1)}
102:{1,2,5}:{(52,1),(56,1),(129,1),(137,1),(161,1),(166,1),(171,1),(378,1),(392,1),(2045,1)}
103:{1,2,5}:{(53,1),(55,1),(160,1),(169,1),(1195,1),(1240,1)}
104:{5,6}:{(57,1),(58,1),(176,1),(177,1),(811,1),(1635,1)}
105:{7}:{(58,1)}
106:{4,5,7}:{(57,1),(59,1),(176,1),(177,1),(178,1),(179,1),(182,1),(192,1),(413,1),(414,1),(415,1),(422,1),(441,1),(811,1),(990,1),(1635,1),(2488,1)}
107:{3,5}:{(57,1),(61,1),(179,1),(208,1),(231,1),(232,1),(811,1),(959,1),(1400,1),(1635,1)}
108:{3,6}:{(58,1),(60,1),(183,1),(185,1),(209,1)}
109:{3,4,7}:{(59,1),(61,1),(83,1),(85,1),(182,1),(183,1),(197,1),(210,1),(239,1),(241,1),(415,1),(422,1),(552,1),(775,1),(840,1),(847,1),(990,1),(1410,1),(1599,1)}
110:{4,5}:{(60,1),(86,1),(88,1),(175,1),(185,1),(231,1),(232,1),(959,1)}
111:{4}:{(67,1)}
112:{3,5}:{(62,1),(68,1),(180,1)}
113:{3,5}:{(63,1),(69,1),(184,1),(188,1)}
114:{3,7}:{(62,1),(70,1)}
115:{3,4,6}:{(62,1),(63,1),(71,1),(180,1),(186,1),(187,1),(188,1),(190,1),(203,1),(420,1),(421,1),(424,1),(436,1),(437,1),(462,1),(821,1),(823,1),(1408,1),(3259,1)}
116:{2,5}:{(57,1),(65,1),(178,1)}
117:{2,6}:{(58,1),(64,1),(193,1),(194,1),(780,1)}
118:{2,7}:{(59,1),(65,1),(245,1),(246,1),(780,1)}
119:{4}:{(64,1),(174,1)}
120:{2,3,6}:{(61,1),(65,1),(66,1),(195,1),(197,1),(198,1),(222,1),(245,1),(246,1),(444,1),(531,1),(533,1),(774,1),(1013,1),(1654,1),(2283,1)}
121:{2,3,5}:{(60,1),(64,1),(66,1),(172,1),(173,1),(196,1),(223,1),(397,1),(832,1),(874,1),(2257,1),(3259,1)}
122:{2,4}:{(66,1),(86,1),(88,1),(175,1),(245,1),(246,1),(1013,1)}
123:{2,3,6}:{(62,1),(67,1),(74,1),(186,1),(188,1),(201,1),(455,1),(531,1)}
124:{2,3}:{(63,1),(75,1),(199,1)}
125:{1,5}:{(57,1),(71,1),(187,1),(1635,1)}
126:{1,6}:{(58,1),(69,1),(188,1),(205,1)}
127:{1,4,5,7}:{(68,1),(70,1),(78,1),(79,1),(180,1),(189,1),(207,1),(218,1),(251,1),(253,1),(254,1),(256,1),(417,1),(423,1),(427,1),(475,1),(536,1),(537,1),(539,1),(541,1),(907,1),(959,1),(990,1),(1567,1),(1599,1),(1635,1),(2262,1),(2379,1),(2387,1),(2488,1),(3388,1),(3486,1)}
128:{1,4,7}:{(59,1),(71,1),(76,1),(180,1),(190,1),(205,1),(220,1),(252,1),(253,1),(786,1),(821,1),(990,1),(1529,1)}
129:{1,5}:{(60,1),(72,1),(209,1)}
130:{1,4,6}:{(61,1),(72,1),(98,1),(100,1),(208,1),(209,1),(210,1),(222,1),(252,1),(253,1),(466,1),(472,1),(473,1),(3486,1)}
131:{1,3,6}:{(62,1),(73,1),(98,1),(99,1),(213,1),(214,1),(521,1)}
132:{1,3,4}:{(63,1),(72,1),(73,1),(212,1),(215,1),(226,1),(260,1),(262,1),(411,1),(479,1),(846,1),(911,1),(921,1),(1533,1),(1546,1),(3486,1),(7488,1)}
133:{1,2,5,6}:{(68,1),(74,1),(89,1),(90,1),(200,1),(204,1),(207,1),(217,1),(218,1),(489,1),(907,1),(946,1),(1523,1),(1526,1),(1551,1),(1635,1),(1654,1),(2199,1),(2256,1),(2257,1),(5660,1)}
134:{1,2,7}:{(70,1),(74,1),(92,1),(94,1),(201,1),(205,1)}
135:{1,2,5}:{(64,1),(69,1),(75,1),(202,1),(219,1),(221,1),(488,1),(2257,1)}
136:{1,2,6}:{(65,1),(71,1),(75,1),(203,1),(217,1),(220,1),(1526,1),(1654,1)}
137:{1,2}:{(66,1),(72,1)}
138:{1,2,3,5}:{(67,1),(73,1),(102,1),(103,1),(212,1),(213,1),(215,1),(225,1),(226,1),(261,1),(262,1),(412,1),(471,1),(492,1),(498,1),(531,1),(547,1),(959,1),(1013,1),(3486,1),(4555,1),(4564,1)}
139:{1,4,6}:{(77,1),(91,1),(177,1),(178,1),(229,1),(234,1),(466,1),(472,1),(473,1),(511,1),(925,1),(1402,1),(1408,1),(2090,1),(2199,1),(2330,1),(2488,1),(2490,1),(2993,1),(3119,1),(3484,1),(3486,1)}
140:{4,6}:{(78,1),(90,1),(178,1),(235,1),(512,1),(2199,1),(5660,1)}
141:{4,6}:{(79,1),(89,1),(233,1),(2488,1)}
142:{4,5}:{(81,1),(180,1),(227,1),(247,1)}
143:{4}:{(80,1),(246,1)}
144:{4}:{(82,1),(245,1)}
145:{3,5,7}:{(77,1),(82,1),(85,1),(234,1),(237,1),(438,1),(515,1),(838,1),(839,1),(840,1),(847,1),(1431,1),(1629,1),(2310,1),(2311,1),(3225,1),(3259,1),(3283,1),(3285,1),(4311,1),(4328,1)}
146:{3,5,7}:{(79,1),(81,1),(84,1),(233,1),(254,1),(427,1)}
147:{3,5,7}:{(78,1),(80,1),(83,1),(235,1),(236,1),(256,1),(513,1),(959,1),(1599,1),(3283,1),(3285,1)}
148:{4,6}:{(88,1),(97,1),(231,1),(239,1),(511,1)}
149:{4,6}:{(86,1),(96,1),(232,1),(241,1),(512,1)}
150:{2,4,6}:{(87,1),(95,1),(186,1),(227,1),(230,1),(240,1),(455,1),(818,1),(863,1)}
151:{2,5,7}:{(78,1),(90,1),(94,1),(176,1),(242,1),(246,1),(522,1),(811,1),(1635,1),(2123,1),(2375,1),(2436,1),(3432,1),(4060,1)}
152:{1,2,5,7}:{(77,1),(91,1),(93,1),(176,1),(192,1),(243,1),(245,1),(250,1),(469,1),(491,1),(524,1),(563,1),(811,1),(927,1),(928,1),(997,1),(1014,1),(1364,1),(1400,1),(1404,1),(1451,1),(1456,1),(1461,1),(1501,1),(1554,1),(2257,1),(2283,1),(2373,1),(2375,1),(2434,1),(2999,1),(3173,1),(3408,1),(5495,1),(5546,1),(6438,1)}
153:{2,5,7}:{(79,1),(89,1),(92,1),(244,1),(247,1),(1636,1)}
154:{2,3,5,6}:{(82,1),(91,1),(97,1),(181,1),(195,1),(229,1),(231,1),(234,1),(245,1),(250,1),(400,1),(444,1),(452,1),(511,1),(515,1),(524,1),(530,1),(774,1),(811,1),(880,1),(961,1),(973,1),(1400,1),(1431,1),(1624,1),(2071,1),(2112,1),(2199,1),(2273,1),(2283,1),(2434,1),(2999,1),(3039,1),(3053,1),(3173,1),(4081,1),(4311,1),(5178,1),(5495,1)}
155:{2,3,5,6}:{(80,1),(90,1),(96,1),(181,1),(195,1),(228,1),(232,1),(235,1),(246,1),(249,1),(265,1),(400,1),(444,1),(452,1),(512,1),(513,1),(519,1),(522,1),(529,1),(531,1),(547,1),(774,1),(811,1),(880,1),(959,1),(960,1),(974,1),(982,1),(1001,1),(1013,1),(1400,1),(1431,1),(1609,1),(1622,1),(1635,1),(1654,1),(2199,1),(2283,1),(2436,1),(2453,1),(3056,1),(3458,1),(4060,1),(4526,1),(5244,1),(5660,1),(6346,1)}
156:{2,3,5,6}:{(81,1),(89,1),(95,1),(227,1),(230,1),(233,1),(247,1),(248,1),(263,1),(514,1),(521,1),(528,1),(532,1),(870,1)}
157:{2,3,7}:{(84,1),(92,1),(95,1),(240,1),(268,1),(1421,1)}
158:{2,3,7}:{(85,1),(93,1),(97,1),(183,1),(239,1),(404,1),(531,1),(1348,1)}
159:{2,3,7}:{(83,1),(94,1),(96,1),(183,1),(241,1),(266,1),(404,1),(552,1),(1599,1)}
160:{1,5}:{(81,1),(99,1)}
161:{1,5}:{(80,1),(98,1),(253,1),(959,1)}
162:{1,3,5}:{(82,1),(100,1),(208,1),(252,1),(438,1),(547,1),(1431,1)}
163:{1,4,7}:{(84,1),(99,1),(214,1),(254,1),(268,1)}
164:{1,3,7}:{(85,1),(100,1),(210,1),(552,1),(840,1),(847,1),(1374,1)}
165:{1,7}:{(83,1),(98,1),(1599,1)}
166:{1,4}:{(86,1),(102,1),(262,1),(2488,1),(3486,1)}
167:{1,2,4,5}:{(87,1),(103,1),(212,1),(251,1),(259,1),(261,1),(471,1),(492,1),(498,1),(808,1),(863,1),(891,1),(894,1),(930,1),(934,1),(959,1),(1013,1),(1412,1),(1567,1),(2488,1),(3129,1),(3433,1),(3482,1),(3486,1),(4555,1),(6346,1)}
168:{1,4}:{(88,1),(101,1),(260,1),(824,1),(896,1)}
169:{1,2,6}:{(95,1),(99,1),(103,1),(268,1),(492,1),(1526,1)}
170:{1,2,3,6}:{(97,1),(100,1),(101,1),(209,1),(222,1),(257,1),(267,1),(406,1),(484,1),(505,1),(531,1),(880,1),(1375,1),(2193,1),(2331,1),(3486,1)}
171:{1,2,6}:{(96,1),(98,1),(102,1),(209,1),(258,1),(266,1),(1013,1),(1654,1)}
172:{2,4,5}:{(110,1),(121,1),(122,1),(271,1),(280,1),(283,1),(302,1),(306,1),(309,1),(567,1),(588,1),(595,1),(631,1),(1125,1),(1135,1),(1782,1),(2731,1),(3507,1),(3550,1),(3562,1)}
173:{3,4}:{(119,1),(121,1),(274,1),(280,1),(283,1),(288,1),(316,1),(618,1),(1782,1),(2721,1),(2731,1),(2947,1),(3507,1),(3576,1)}
174:{3}:{(119,1),(276,1)}
175:{2,5}:{(110,1),(122,1),(269,1)}
176:{5,7}:{(104,1),(105,1),(277,1)}
177:{4,6}:{(104,1),(106,1),(287,1),(300,1),(622,1)}
178:{4}:{(116,1),(288,1)}
179:{4,5}:{(107,1),(143,1),(144,1),(279,1),(280,1),(302,1),(742,1),(1795,1)}
180:{4}:{(112,1),(303,1)}
181:{3,5,6}:{(104,1),(107,1),(108,1),(279,1),(284,1),(285,1),(287,1),(322,1),(617,1),(1255,1)}
182:{3,5,7}:{(106,1),(107,1),(109,1),(287,1),(288,1),(323,1),(355,1),(357,1),(604,1),(605,1),(1772,1),(2947,1)}
183:{3,7}:{(105,1),(108,1),(292,1),(324,1)}
184:{4,5}:{(111,1),(113,1),(283,1),(286,1),(290,1),(309,1),(588,1)}
185:{4,6}:{(108,1),(110,1),(269,1),(285,1),(292,1),(1255,1)}
186:{4,6}:{(111,1),(123,1),(286,1),(293,1),(602,1),(715,1),(1255,1)}
187:{3,5}:{(115,1),(125,1),(281,1),(286,1),(588,1),(1083,1),(1776,1)}
188:{3,6}:{(113,1),(126,1),(290,1),(295,1)}
189:{3,5,7}:{(112,1),(114,1),(127,1),(291,1),(297,1),(361,1),(363,1),(608,1),(721,1),(723,1),(724,1),(1881,1),(2776,1),(2786,1),(2947,1)}
190:{3,4,7}:{(114,1),(115,1),(128,1),(293,1),(295,1),(296,1),(315,1),(362,1),(363,1),(596,1),(599,1),(600,1),(651,1),(715,1),(1033,1),(1090,1),(1103,1),(1673,1),(1795,1),(4860,1)}
191:{2,5,6}:{(104,1),(116,1),(117,1),(278,1),(298,1),(299,1),(300,1),(622,1),(624,1),(2045,1),(4754,1),(4826,1)}
192:{2,5,7}:{(106,1),(116,1),(118,1),(300,1),(301,1),(302,1),(624,1),(625,1),(1307,1),(2045,1),(4581,1)}
193:{2,7}:{(105,1),(117,1),(304,1)}
194:{4,6}:{(117,1),(119,1),(270,1),(299,1),(304,1),(565,1),(622,1)}
195:{2,3,5}:{(107,1),(116,1),(120,1),(280,1),(288,1),(302,1),(306,1),(339,1),(610,1),(618,1),(641,1),(2045,1),(2947,1)}
196:{2,3,6}:{(108,1),(117,1),(121,1),(271,1),(272,1),(308,1),(340,1),(1040,1),(1100,1),(1135,1),(1709,1),(1833,1)}
197:{2,3,7}:{(109,1),(118,1),(120,1),(310,1),(341,1),(625,1),(1030,1),(1040,1),(1307,1)}
198:{2,4,6}:{(120,1),(122,1),(148,1),(149,1),(269,1),(280,1),(306,1),(310,1),(566,1),(598,1),(635,1),(713,1),(715,1),(1092,1),(1255,1),(1256,1)}
199:{2,4}:{(111,1),(124,1),(283,1),(303,1),(309,1),(1135,1)}
200:{2,3,5,6}:{(112,1),(123,1),(133,1),(282,1),(286,1),(294,1),(297,1),(303,1),(312,1),(313,1),(602,1),(608,1),(627,1),(630,1),(636,1),(644,1),(647,1),(1083,1),(1097,1),(1100,1),(1127,1),(1255,1),(1865,1),(2669,1)}
201:{2,3,7}:{(114,1),(123,1),(134,1),(293,1),(295,1),(642,1)}
202:{2,3,5}:{(113,1),(124,1),(135,1),(283,1),(309,1),(314,1),(316,1),(588,1),(646,1),(1135,1)}
203:{2,3,6}:{(115,1),(124,1),(136,1),(303,1),(311,1),(312,1),(315,1),(630,1),(1100,1),(1135,1),(1833,1)}
204:{1,5,6}:{(104,1),(125,1),(126,1),(294,1),(317,1),(318,1),(1083,1),(1169,1),(1774,1),(1776,1),(3830,1)}
205:{1,7}:{(105,1),(126,1),(295,1)}
206:{1,4,5,7}:{(106,1),(125,1),(128,1),(281,1),(296,1),(317,1),(318,1),(319,1),(320,1),(323,1),(335,1),(596,1),(599,1),(653,1),(654,1),(655,1),(662,1),(685,1),(1082,1),(1083,1),(1090,1),(1169,1),(1772,1),(1776,1),(1795,1),(1900,1),(2731,1),(2802,1),(3830,1),(3919,1),(4860,1)}
207:{1,4,6}:{(127,1),(133,1),(140,1),(141,1),(282,1),(297,1),(319,1),(380,1),(381,1),(602,1),(745,1),(1255,1),(1287,1),(2730,1),(2731,1),(3918,1),(3919,1)}
208:{1,5}:{(107,1),(130,1)}
209:{1,6}:{(108,1),(129,1),(324,1)}
210:{1,4,7}:{(109,1),(130,1),(164,1),(165,1),(323,1),(324,1),(341,1),(1054,1)}
211:{1,4,5}:{(110,1),(129,1),(166,1),(168,1),(275,1),(326,1),(332,1),(376,1),(378,1),(572,1),(741,1),(742,1),(1056,1),(1084,1),(1902,1)}
212:{1,4}:{(111,1),(138,1),(333,1),(572,1),(715,1),(742,1)}
213:{1,3,5}:{(112,1),(131,1),(160,1),(161,1),(321,1),(361,1),(363,1)}
214:{1,3,7}:{(114,1),(131,1),(163,1),(165,1),(724,1)}
215:{1,3,5}:{(113,1),(129,1),(132,1),(325,1),(330,1),(332,1),(1115,1),(1195,1),(1902,1),(3583,1),(5024,1)}
216:{1,3,4,6}:{(115,1),(130,1),(131,1),(132,1),(321,1),(327,1),(328,1),(330,1),(331,1),(347,1),(362,1),(363,1),(389,1),(390,1),(586,1),(617,1),(618,1),(620,1),(660,1),(661,1),(673,1),(674,1),(678,1),(679,1),(715,1),(742,1),(755,1),(1048,1),(1092,1),(1119,1),(1121,1),(1185,1),(1197,1),(1255,1),(1287,1),(1295,1),(1301,1),(1721,1),(1740,1),(1795,1),(1881,1),(2011,1),(2721,1),(2828,1),(2853,1),(2912,1),(2928,1),(2947,1),(3576,1),(3583,1),(3762,1),(3871,1),(3888,1),(3919,1),(3972,1),(4006,1),(4695,1),(4729,1),(4860,1),(5003,1),(5024,1),(5119,1),(5745,1),(5894,1),(5906,1),(6980,1),(7124,1)}
217:{1,2,5}:{(116,1),(125,1),(136,1),(312,1),(319,1),(1195,1),(1240,1),(2045,1),(3919,1)}
218:{1,2,5,7}:{(127,1),(133,1),(134,1),(151,1),(153,1),(303,1),(313,1),(317,1),(336,1),(392,1),(393,1),(627,1),(698,1),(759,1),(1083,1),(1169,1),(1192,1),(1236,1),(1307,1),(1772,1),(1827,1),(1908,1),(1937,1),(2045,1),(2669,1),(3830,1),(4757,1),(5095,1)}
219:{1,2,6}:{(117,1),(126,1),(135,1),(314,1),(337,1),(338,1),(1064,1),(1135,1),(1833,1)}
220:{1,2,7}:{(118,1),(128,1),(136,1),(303,1),(315,1),(391,1),(392,1),(1064,1),(1135,1),(1307,1),(1908,1),(1970,1)}
221:{1,4}:{(119,1),(135,1),(276,1),(283,1),(316,1),(2731,1),(3919,1)}
222:{1,2,6}:{(120,1),(130,1),(137,1),(339,1),(341,1),(391,1),(392,1),(1052,1)}
223:{1,2,5}:{(121,1),(129,1),(137,1),(274,1),(340,1),(577,1),(1195,1),(1240,1),(3919,1)}
224:{1,2,4}:{(122,1),(137,1),(166,1),(168,1),(275,1),(348,1),(391,1),(392,1),(572,1),(713,1),(715,1),(1225,1),(1988,1)}
225:{1,2,3,6}:{(123,1),(131,1),(138,1),(169,1),(171,1),(327,1),(330,1),(345,1),(388,1),(389,1),(585,1),(699,1),(1255,1),(5119,1)}
226:{1,2,3}:{(124,1),(132,1),(137,1),(343,1),(348,1),(1165,1),(1240,1),(1988,1),(3583,1)}
227:{4,6}:{(142,1),(156,1),(352,1),(714,1),(1138,1)}
228:{4,6}:{(143,1),(155,1),(280,1),(350,1),(354,1),(715,1),(742,1),(1255,1),(1259,1),(1795,1),(5745,1)}
229:{4,6}:{(144,1),(154,1),(280,1),(349,1),(353,1),(1795,1),(3507,1),(4860,1)}
230:{2,5,6}:{(150,1),(286,1),(351,1),(356,1),(602,1),(627,1),(1124,1),(1127,1),(1255,1)}
231:{5}:{(148,1)}
232:{5}:{(149,1)}
233:{3,6}:{(141,1),(146,1),(381,1),(602,1),(2947,1)}
234:{3,6}:{(139,1),(145,1),(288,1),(618,1),(2947,1),(3576,1)}
235:{3,6}:{(140,1),(147,1),(288,1),(380,1),(1255,1)}
236:{3,4,7}:{(143,1),(147,1),(354,1),(359,1),(363,1),(370,1),(384,1),(715,1),(723,1),(1030,1),(2947,1),(3743,1)}
237:{3,4,7}:{(144,1),(145,1),(353,1),(360,1),(362,1),(371,1),(382,1),(1030,1),(1090,1),(1103,1),(1795,1),(2724,1),(3743,1),(4860,1),(5754,1)}
238:{3,4,5,7}:{(142,1),(146,1),(291,1),(352,1),(358,1),(361,1),(372,1),(383,1),(592,1),(608,1),(714,1),(716,1),(724,1),(1112,1),(1118,1),(1138,1),(1180,1),(1260,1),(1266,1),(1270,1),(1785,1),(1881,1),(2669,1),(2947,1),(5095,1),(5745,1)}
239:{4,7}:{(148,1),(158,1),(355,1),(715,1),(1673,1)}
240:{2,4,7}:{(150,1),(157,1),(293,1),(352,1),(356,1),(642,1),(1088,1)}
241:{4,7}:{(149,1),(159,1),(357,1)}
242:{2,4,6,7}:{(140,1),(151,1),(277,1),(300,1),(301,1),(354,1),(366,1),(367,1),(598,1),(625,1),(1287,1),(1307,1),(1722,1),(1754,1),(1946,1),(1949,1),(2000,1),(2019,1),(2619,1),(2861,1),(2923,1),(2942,1),(2945,1),(3539,1)}
243:{1,2,4,6,7}:{(139,1),(152,1),(277,1),(300,1),(301,1),(353,1),(365,1),(368,1),(598,1),(625,1),(653,1),(655,1),(662,1),(667,1),(686,1),(687,1),(688,1),(689,1),(695,1),(696,1),(749,1),(762,1),(764,1),(1091,1),(1092,1),(1134,1),(1136,1),(1184,1),(1218,1),(1226,1),(1234,1),(1302,1),(1308,1),(1743,1),(1825,1),(1833,1),(1946,1),(1949,1),(1953,1),(1969,1),(1999,1),(2528,1),(2679,1),(2731,1),(2758,1),(2802,1),(2861,1),(2876,1),(2909,1),(3844,1),(3919,1),(3923,1),(3946,1),(4983,1),(6106,1)}
244:{2,4,6,7}:{(141,1),(153,1),(352,1),(364,1),(369,1),(1288,1),(1306,1),(1947,1)}
245:{2}:{(144,1)}
246:{2}:{(143,1)}
247:{2,5}:{(142,1),(303,1),(364,1),(2669,1)}
248:{2,3,5,7}:{(146,1),(153,1),(156,1),(157,1),(352,1),(356,1),(369,1),(396,1),(716,1),(724,1)}
249:{2,3,5,7}:{(147,1),(151,1),(155,1),(159,1),(284,1),(354,1),(357,1),(367,1),(370,1),(395,1),(568,1),(625,1),(718,1),(723,1),(726,1),(728,1),(754,1),(1030,1),(1159,1),(1307,1),(1772,1),(2002,1),(2045,1),(2773,1),(2942,1),(2947,1),(3991,1),(5095,1)}
250:{2,3,5,7}:{(145,1),(152,1),(154,1),(158,1),(284,1),(353,1),(355,1),(368,1),(371,1),(568,1),(625,1),(649,1),(717,1),(725,1),(730,1),(1030,1),(1158,1),(1159,1),(1772,1),(1806,1),(1868,1),(2758,1),(2773,1),(4656,1),(5754,1)}
251:{1,4,5}:{(142,1),(160,1),(321,1),(361,1),(373,1),(393,1),(714,1)}
252:{1,4}:{(144,1),(162,1),(362,1),(391,1),(742,1),(1795,1)}
253:{1,4}:{(143,1),(161,1),(363,1),(392,1),(715,1)}
254:{1,5,7}:{(146,1),(160,1),(163,1),(381,1)}
255:{1,3,5,7}:{(145,1),(162,1),(164,1),(323,1),(379,1),(382,1),(748,1),(754,1),(1203,1),(1204,1),(1900,1),(2638,1),(2660,1),(2665,1),(3919,1),(3946,1),(3948,1),(5024,1)}
256:{1,5,7}:{(147,1),(161,1),(165,1),(380,1),(384,1),(747,1),(3946,1),(3948,1)}
257:{1,4,6}:{(148,1),(168,1),(170,1),(376,1),(385,1),(390,1),(715,1),(743,1),(1092,1),(1255,1)}
258:{1,4,6}:{(149,1),(166,1),(171,1),(378,1),(386,1),(389,1),(742,1),(745,1),(1287,1)}
259:{1,2,4,6}:{(150,1),(167,1),(169,1),(327,1),(373,1),(377,1),(387,1),(388,1),(699,1),(740,1),(1077,1),(1176,1),(1255,1),(3970,1),(5119,1)}
260:{3,4}:{(168,1),(332,1),(348,1),(572,1),(618,1),(715,1),(742,1),(3583,1)}
261:{2,3,5}:{(167,1),(333,1),(361,1),(388,1),(650,1),(677,1),(1115,1),(1165,1),(1881,1),(2045,1),(2947,1),(3583,1),(3976,1),(3998,1)}
262:{3}:{(166,1)}
263:{1,2,5,6}:{(156,1),(160,1),(169,1),(373,1),(381,1),(393,1),(396,1),(746,1),(765,1),(1236,1)}
264:{1,2,3,5,6}:{(154,1),(162,1),(170,1),(322,1),(339,1),(374,1),(376,1),(379,1),(391,1),(394,1),(576,1),(617,1),(618,1),(649,1),(676,1),(688,1),(695,1),(703,1),(719,1),(734,1),(743,1),(748,1),(758,1),(764,1),(1031,1),(1052,1),(1121,1),(1160,1),(1169,1),(1206,1),(1209,1),(1222,1),(1235,1),(1244,1),(1249,1),(1250,1),(1255,1),(1256,1),(1265,1),(1292,1),(1302,1),(1314,1),(1316,1),(1770,1),(1771,1),(1787,1),(1807,1),(1868,1),(1880,1),(1884,1),(1889,1),(1902,1),(1923,1),(1985,1),(1988,1),(2035,1),(2036,1),(2044,1),(2045,1),(2583,1),(2655,1),(2665,1),(2710,1),(2759,1),(2773,1),(2833,1),(2876,1),(2909,1),(2928,1),(2929,1),(2946,1),(2947,1),(2967,1),(3583,1),(3594,1),(3689,1),(3700,1),(3762,1),(3777,1),(3830,1),(3948,1),(4695,1),(4757,1),(5024,1),(5071,1),(5119,1),(5894,1)}
265:{1,2,5,6}:{(155,1),(161,1),(171,1),(322,1),(339,1),(375,1),(378,1),(380,1),(392,1),(395,1),(688,1),(695,1),(745,1),(747,1),(759,1),(766,1),(1052,1),(1169,1),(1255,1),(1291,1),(1304,1),(2035,1),(2045,1),(2967,1),(3689,1),(4757,1)}
266:{1,2,7}:{(159,1),(165,1),(171,1),(324,1),(386,1),(1307,1)}
267:{1,2,3,7}:{(158,1),(164,1),(170,1),(324,1),(341,1),(385,1),(580,1),(682,1),(707,1),(1159,1),(1735,1),(1767,1),(2657,1),(2808,1),(5024,1),(5071,1)}
268:{1,2,7}:{(157,1),(163,1),(169,1),(1908,1)}
269:{2,6}:{(175,1),(185,1),(404,1)}
270:{3,6}:{(174,1),(194,1),(398,1),(401,1),(405,1)}
271:{2,4,6}:{(172,1),(185,1),(196,1),(399,1),(403,1),(418,1),(424,1),(444,1),(455,1),(818,1),(1347,1),(2110,1),(2283,1),(3039,1),(5495,1)}
272:{3,4,6}:{(173,1),(194,1),(196,1),(397,1),(402,1),(408,1),(418,1),(424,1),(429,1),(462,1),(775,1),(785,1),(821,1),(843,1),(1332,1),(1408,1),(3259,1)}
273:{1,2,4,5}:{(172,1),(211,1),(223,1),(224,1),(407,1),(409,1),(466,1),(479,1),(491,1),(495,1),(498,1),(788,1),(808,1),(824,1),(891,1),(896,1),(902,1),(934,1),(957,1),(959,1),(1011,1),(1013,1),(1356,1),(1381,1),(1400,1),(1555,1),(2110,1),(2215,1),(2283,1),(2326,1),(2488,1),(2491,1),(3119,1),(3129,1),(3436,1),(3486,1),(4526,1),(5211,1),(5273,1),(5495,1),(6346,1),(6349,1),(6519,1),(6658,1),(7532,1)}
274:{1,4}:{(173,1),(223,1),(411,1),(473,1),(3486,1)}
275:{1,2,5}:{(175,1),(211,1),(224,1),(406,1),(412,1),(957,1),(959,1),(1011,1),(1013,1)}
276:{1}:{(174,1)}
277:{4,6,7}:{(176,1),(177,1),(413,1),(415,1),(428,1),(442,1)}
278:{4,6}:{(178,1),(191,1),(413,1),(414,1),(429,1),(2488,1)}
279:{4,6}:{(179,1),(181,1),(415,1),(444,1)}
280:{4}:{(195,1)}
281:{4,5}:{(180,1),(187,1),(420,1),(421,1),(446,1),(821,1)}
282:{4,6}:{(180,1),(200,1),(417,1),(421,1),(423,1)}
283:{4}:{(202,1)}
284:{3,5,7}:{(176,1),(181,1),(183,1),(415,1),(426,1),(428,1),(469,1),(840,1),(1599,1)}
285:{5,6}:{(185,1),(231,1),(232,1),(426,1),(511,1),(512,1)}
286:{5}:{(186,1)}
287:{3,6}:{(177,1),(182,1),(472,1),(511,1),(512,1),(2199,1)}
288:{3}:{(178,1),(473,1)}
289:{3,4,5,7}:{(179,1),(182,1),(236,1),(237,1),(415,1),(422,1),(430,1),(431,1),(438,1),(454,1),(474,1),(507,1),(509,1),(513,1),(515,1),(770,1),(776,1),(811,1),(824,1),(828,1),(830,1),(831,1),(840,1),(847,1),(959,1),(966,1),(968,1),(969,1),(971,1),(975,1),(976,1),(990,1),(992,1),(1328,1),(1400,1),(1410,1),(1413,1),(1415,1),(1431,1),(1440,1),(1444,1),(1448,1),(1463,1),(1464,1),(1599,1),(1603,1),(1605,1),(1606,1),(1612,1),(1628,1),(1629,1),(1635,1),(2069,1),(2076,1),(2101,1),(2205,1),(2209,1),(2214,1),(2216,1),(2221,1),(2227,1),(2238,1),(2241,1),(2310,1),(2311,1),(2434,1),(2436,1),(2437,1),(2446,1),(2488,1),(2999,1),(3014,1),(3027,1),(3173,1),(3179,1),(3189,1),(3221,1),(3225,1),(3230,1),(3259,1),(3283,1),(3285,1),(3436,1),(3443,1),(4053,1),(4056,1),(4060,1),(4120,1),(4289,1),(4311,1),(4328,1),(4526,1),(4532,1),(5224,1),(5244,1),(5432,1),(5546,1),(6248,1)}
290:{4,6}:{(184,1),(188,1),(425,1),(432,1),(455,1)}
291:{3,4,7}:{(180,1),(189,1),(423,1),(434,1),(439,1),(456,1),(475,1),(969,1),(990,1),(1421,1),(3212,1)}
292:{4,7}:{(183,1),(185,1),(404,1),(426,1),(1599,1)}
293:{4,7}:{(186,1),(201,1),(427,1),(1599,1)}
294:{3,5,6}:{(187,1),(188,1),(204,1),(420,1),(425,1),(435,1),(436,1),(1431,1),(4311,1)}
295:{3,7}:{(188,1),(205,1),(432,1)}
296:{3,5,7}:{(187,1),(190,1),(206,1),(427,1),(436,1),(437,1),(438,1),(810,1),(838,1),(839,1),(840,1),(847,1),(959,1),(1431,1),(1599,1),(2061,1),(3009,1),(3225,1),(3259,1),(4311,1)}
297:{3,6}:{(189,1),(207,1),(437,1),(3259,1)}
298:{2,5,7}:{(176,1),(191,1),(193,1),(413,1),(441,1),(442,1),(5318,1),(5407,1)}
299:{5}:{(194,1)}
300:{2,6}:{(177,1),(192,1),(5143,1)}
301:{2,4,7}:{(178,1),(192,1),(413,1),(422,1),(443,1),(445,1),(453,1),(2283,1),(2488,1),(4018,1),(5407,1)}
302:{2,5}:{(179,1),(245,1),(246,1),(444,1),(445,1),(1013,1),(2283,1)}
303:{2}:{(180,1)}
304:{4,7}:{(193,1),(194,1),(401,1),(441,1)}
305:{2,3,5,6}:{(181,1),(191,1),(195,1),(196,1),(397,1),(399,1),(418,1),(429,1),(444,1),(449,1),(452,1),(494,1),(777,1),(779,1),(785,1),(811,1),(843,1),(867,1),(871,1),(880,1),(1320,1),(1336,1),(1350,1),(1400,1),(1431,1),(1469,1),(2071,1),(2112,1),(2199,1),(2257,1),(2273,1),(2283,1),(2999,1),(3039,1),(3053,1),(3173,1),(3259,1),(4311,1),(5495,1)}
306:{2,5}:{(198,1),(231,1),(232,1),(419,1),(811,1),(959,1),(1400,1)}
307:{2,3,5,7}:{(182,1),(192,1),(195,1),(197,1),(422,1),(450,1),(452,1),(453,1),(496,1),(811,1),(831,1),(847,1),(867,1),(1431,1),(2283,1)}
308:{2,3,7}:{(183,1),(193,1),(196,1),(402,1),(403,1),(497,1),(1421,1),(1461,1)}
309:{2,5}:{(184,1),(199,1),(455,1)}
310:{2,4,7}:{(197,1),(198,1),(239,1),(241,1),(404,1),(422,1),(450,1),(771,1),(1347,1),(1410,1),(1599,1),(1600,1),(2283,1)}
311:{2,4,6}:{(186,1),(199,1),(203,1),(421,1),(424,1),(451,1),(455,1),(457,1),(818,1),(823,1),(864,1)}
312:{2,3,5}:{(187,1),(203,1),(217,1),(421,1),(437,1),(446,1),(451,1),(832,1),(874,1),(2257,1),(3259,1)}
313:{2,3,5,7}:{(189,1),(200,1),(201,1),(218,1),(423,1),(427,1),(435,1),(456,1),(460,1),(531,1),(532,1),(829,1),(854,1),(858,1),(865,1),(870,1),(959,1),(982,1),(1421,1),(1431,1),(1599,1),(2283,1),(2294,1),(4311,1),(5244,1),(5495,1),(6346,1)}
314:{2,3,6}:{(188,1),(202,1),(219,1),(424,1),(455,1),(461,1),(462,1),(1348,1)}
315:{2,3,7}:{(190,1),(203,1),(220,1),(457,1),(531,1),(533,1),(858,1),(1348,1),(1421,1),(1461,1),(1479,1),(2283,1),(5495,1)}
316:{3}:{(221,1)}
317:{1,5,7}:{(176,1),(204,1),(205,1),(435,1),(463,1),(1404,1)}
318:{1,4,6}:{(177,1),(204,1),(206,1),(420,1),(436,1),(472,1),(489,1),(823,1),(925,1),(1402,1),(1408,1),(2199,1),(2330,1)}
319:{1,4}:{(178,1),(217,1),(421,1),(437,1),(473,1),(2488,1),(3486,1)}
320:{1,4,5}:{(179,1),(208,1),(252,1),(253,1),(438,1),(465,1),(466,1),(491,1),(824,1),(959,1),(1400,1)}
321:{1,4}:{(180,1),(213,1),(439,1),(492,1)}
322:{1,5,6}:{(181,1),(208,1),(209,1),(465,1),(469,1),(472,1),(1400,1),(2199,1)}
323:{1,5,7}:{(182,1),(208,1),(210,1),(472,1),(473,1),(903,1),(904,1),(3486,1)}
324:{1,7}:{(183,1),(209,1)}
325:{1,4,5}:{(184,1),(212,1),(215,1),(471,1),(476,1),(479,1),(486,1),(498,1),(902,1),(959,1),(1546,1),(2147,1),(3129,1),(3486,1),(4430,1),(4555,1)}
326:{1,4,6}:{(185,1),(209,1),(211,1),(406,1),(470,1),(477,1),(484,1),(790,1),(893,1),(1401,1),(2331,1)}
327:{1,4,6}:{(186,1),(212,1),(225,1),(471,1),(478,1),(485,1),(790,1),(900,1),(3486,1)}
328:{1,3,5}:{(187,1),(208,1),(216,1),(438,1),(467,1),(471,1),(547,1),(548,1),(842,1),(902,1),(907,1),(959,1),(1400,1),(1431,1),(1436,1),(1503,1),(1519,1),(1635,1),(1642,1),(2125,1),(2147,1),(2446,1),(3320,1),(3486,1),(4311,1),(4526,1),(4555,1),(5244,1),(5297,1),(5562,1)}
329:{1,3,5,7}:{(189,1),(213,1),(214,1),(254,1),(256,1),(475,1),(483,1),(551,1),(907,1),(1004,1),(3388,1),(3412,1),(3424,1),(3486,1)}
330:{1,3,6}:{(188,1),(209,1),(215,1),(476,1),(482,1),(484,1),(1438,1),(1526,1),(2331,1)}
331:{1,3,4,7}:{(190,1),(210,1),(214,1),(216,1),(475,1),(478,1),(481,1),(482,1),(504,1),(551,1),(552,1),(554,1),(803,1),(840,1),(847,1),(848,1),(892,1),(898,1),(914,1),(990,1),(995,1),(1361,1),(1374,1),(1410,1),(1443,1),(1528,1),(1529,1),(1599,1),(2142,1),(2151,1),(2368,1),(3212,1),(3225,1),(3336,1),(3424,1),(3443,1),(3486,1),(4120,1),(4328,1),(4430,1),(4432,1),(4448,1),(4532,1),(5325,1),(5679,1),(6438,1)}
332:{3,5}:{(211,1),(260,1),(262,1),(484,1),(959,1)}
333:{3,4}:{(212,1),(261,1),(262,1),(1412,1),(2488,1)}
334:{1,2,5,6}:{(191,1),(204,1),(217,1),(219,1),(458,1),(464,1),(487,1),(488,1),(489,1),(925,1),(927,1),(1519,1),(1526,1),(1580,1),(2257,1),(2330,1),(2332,1),(3390,1)}
335:{1,2,5,7}:{(192,1),(206,1),(217,1),(220,1),(446,1),(459,1),(489,1),(490,1),(491,1),(858,1),(927,1),(928,1),(1451,1),(1461,1),(1527,1),(2257,1),(2283,1),(5495,1),(5546,1)}
336:{1,2,4,6,7}:{(207,1),(218,1),(242,1),(244,1),(423,1),(447,1),(460,1),(463,1),(489,1),(490,1),(537,1),(539,1),(556,1),(557,1),(558,1),(560,1),(823,1),(858,1),(897,1),(913,1),(928,1),(936,1),(946,1),(1410,1),(1466,1),(1551,1),(1567,1),(1568,1),(1579,1),(1599,1),(1654,1),(2199,1),(2211,1),(2283,1),(2387,1),(2488,1),(3308,1),(3475,1),(3486,1),(4195,1),(4532,1),(5495,1),(5660,1),(6346,1)}
337:{1,2,7}:{(193,1),(205,1),(219,1),(461,1),(493,1),(1461,1)}
338:{1,4,6}:{(194,1),(219,1),(221,1),(405,1),(424,1),(462,1),(488,1),(493,1),(786,1),(821,1),(925,1),(1408,1)}
339:{1,2,5}:{(195,1),(208,1),(222,1),(466,1),(473,1),(909,1),(943,1),(3486,1)}
340:{1,2,6}:{(196,1),(209,1),(223,1),(408,1),(497,1),(1381,1),(1384,1),(1526,1)}
341:{1,2,7}:{(197,1),(210,1),(222,1),(1364,1),(1384,1)}
342:{1,2,4,6}:{(198,1),(222,1),(224,1),(257,1),(258,1),(406,1),(466,1),(495,1),(499,1),(505,1),(787,1),(790,1),(896,1),(897,1),(937,1),(1013,1),(1383,1),(1513,1),(1654,1),(2193,1),(2283,1),(2488,1),(3129,1),(3486,1),(4195,1),(6346,1)}
343:{1,2,4}:{(199,1),(212,1),(226,1),(479,1),(492,1),(498,1),(506,1),(1013,1),(1381,1),(1533,1),(3129,1),(7532,1)}
344:{1,2,3,5,6}:{(200,1),(213,1),(225,1),(263,1),(265,1),(468,1),(471,1),(480,1),(483,1),(492,1),(501,1),(502,1),(519,1),(521,1),(531,1),(532,1),(546,1),(547,1),(799,1),(842,1),(880,1),(883,1),(900,1),(907,1),(930,1),(933,1),(938,1),(946,1),(951,1),(959,1),(982,1),(1001,1),(1002,1),(1004,1),(1013,1),(1020,1),(1022,1),(1375,1),(1400,1),(1431,1),(1434,1),(1438,1),(1449,1),(1487,1),(1503,1),(1523,1),(1526,1),(1551,1),(1573,1),(1591,1),(1608,1),(1609,1),(1622,1),(1632,1),(1635,1),(1640,1),(1642,1),(1643,1),(1654,1),(1665,1),(1666,1),(2147,1),(2193,1),(2199,1),(2240,1),(2283,1),(2294,1),(2309,1),(2331,1),(2394,1),(2420,1),(2436,1),(2453,1),(2462,1),(2498,1),(3097,1),(3222,1),(3267,1),(3320,1),(3408,1),(3412,1),(3453,1),(3458,2),(3484,1),(3486,4),(4311,1),(4328,1),(4415,1),(4499,1),(4526,2),(4538,1),(4555,1),(4564,1),(5244,3),(5495,1),(5660,2),(6346,3)}
345:{1,2,3,7}:{(201,1),(214,1),(225,1),(266,1),(268,1),(478,1),(482,1),(552,1),(553,1),(804,1),(945,1),(1599,1),(5679,1)}
346:{1,2,3,5}:{(202,1),(215,1),(223,1),(226,1),(409,1),(411,1),(479,1),(498,1),(503,1),(800,1),(902,1),(1381,1),(3486,1),(6447,1),(6519,1),(7488,1),(7532,1)}
347:{1,2,3,6}:{(203,1),(216,1),(222,1),(226,1),(492,1),(500,1),(501,1),(504,1),(505,1),(531,1),(533,1),(880,1),(883,1),(933,1),(946,1),(1013,1),(1375,1),(1381,1),(1438,1),(1496,1),(1526,1),(1580,1),(1654,1),(1665,1),(2166,1),(2193,1),(2283,1),(2331,1),(2467,1),(3429,1),(3458,1),(3486,1),(4328,1),(4499,1),(4564,1),(5390,1),(5495,1),(5634,1),(6346,1),(7532,1)}
348:{2,3}:{(224,1),(260,1),(262,1),(1013,1)}
349:{4,5}:{(229,1),(231,1),(515,1),(524,1),(811,1),(975,1),(1400,1),(2434,1),(2999,1),(3173,1)}
350:{4,5}:{(228,1),(232,1),(513,1),(522,1),(811,1),(959,1),(976,1),(1400,1),(1635,1),(2436,1),(2488,1),(4060,1),(4526,1)}
351:{4,5,6}:{(227,1),(230,1),(417,1),(508,1),(514,1),(815,1),(818,1),(958,1),(1403,1)}
352:{4,7}:{(227,1),(248,1)}
353:{4,7}:{(229,1),(250,1),(824,1),(975,1),(1427,1),(2214,1),(3189,1)}
354:{4,7}:{(228,1),(249,1),(976,1),(1599,1),(2488,1),(3189,1)}
355:{5,7}:{(231,1),(239,1),(511,1),(959,1),(1599,1),(2061,1),(3009,1)}
356:{2,5,7}:{(230,1),(240,1),(427,1),(508,1),(510,1),(1599,1)}
357:{5,7}:{(232,1),(241,1),(512,1)}
358:{3,4,6}:{(227,1),(233,1),(238,1),(514,1),(521,1),(528,1),(544,1),(815,1),(1434,1),(1511,1),(2211,1),(5660,1)}
359:{3,4,6}:{(228,1),(235,1),(236,1),(431,1),(513,1),(519,1),(529,1),(545,1),(774,1),(969,1),(976,1),(1628,1)}
360:{3,4,6}:{(229,1),(234,1),(237,1),(431,1),(515,1),(530,1),(543,1),(774,1),(975,1),(1408,1),(1629,1),(3259,1),(4053,1),(5178,1)}
361:{3,5}:{(251,1),(439,1),(521,1),(959,1)}
362:{3,4}:{(252,1),(438,1),(533,1),(824,1)}
363:{3}:{(253,1)}
364:{2,4,6}:{(227,1),(247,1),(526,1),(528,1),(2211,1)}
365:{2,4,6}:{(229,1),(245,1),(444,1),(445,1),(524,1),(527,1),(530,1),(973,1),(975,1),(2283,1),(3039,1),(4079,1),(5495,1)}
366:{2,4,6}:{(228,1),(246,1),(444,1),(445,1),(522,1),(525,1),(529,1),(974,1),(976,1),(1013,1),(1620,1),(1654,1),(2283,1),(2453,1),(2488,1),(6346,1)}
367:{2,3,6,7}:{(235,1),(242,1),(249,1),(428,1),(452,1),(453,1),(512,1),(517,1),(529,1),(558,1),(784,1),(974,1),(1001,1),(1599,1),(1622,1),(1626,1),(1654,1),(2122,1),(2199,1),(2283,1),(2306,1),(2443,1),(3040,1),(3056,1),(3283,1),(5660,1),(6346,1)}
368:{2,3,6,7}:{(234,1),(243,1),(250,1),(428,1),(452,1),(453,1),(511,1),(518,1),(530,1),(784,1),(838,1),(840,1),(847,1),(879,1),(880,1),(881,1),(973,1),(984,1),(1446,1),(1478,1),(1490,1),(1498,1),(1599,1),(1600,1),(1624,1),(1629,1),(2112,1),(2199,1),(2273,1),(2283,1),(2306,1),(2310,1),(3009,1),(3040,1),(3225,1),(3259,1),(3263,1),(3283,1),(4085,1),(4328,1),(4339,1),(4511,1),(5495,1),(6346,1)}
369:{2,3,6,7}:{(233,1),(244,1),(248,1),(510,1),(516,1),(528,1),(560,1),(1627,1)}
370:{2,3,7}:{(236,1),(246,1),(525,1),(529,1),(531,1),(562,1),(4368,1)}
371:{2,3,7}:{(237,1),(245,1),(527,1),(530,1),(533,1),(563,1),(1461,1),(1479,1),(2283,1),(3297,1),(4368,1),(5495,1)}
372:{2,3,5,7}:{(238,1),(247,1),(456,1),(526,1),(528,1),(532,1),(561,1),(854,1),(870,1),(985,1),(1495,1),(1561,1),(1627,1),(6346,1)}
373:{1,4,6}:{(227,1),(251,1),(263,1),(521,1),(537,1),(1567,1)}
374:{1,4,6}:{(229,1),(252,1),(264,1),(466,1),(520,1),(535,1),(538,1),(824,1),(893,1),(896,1),(1401,1),(1411,1),(1513,1),(1533,1),(1546,1),(1638,1),(1639,1),(2214,1),(2228,1),(2331,1),(2488,1),(2490,1),(3113,1),(3129,1),(3178,1),(3189,1),(3484,1),(3486,1),(4430,1)}
375:{1,4,6}:{(228,1),(253,1),(265,1),(466,1),(519,1),(536,1),(539,1),(2488,1),(3486,1)}
376:{1,5}:{(231,1),(257,1),(548,1),(959,1),(1400,1),(3486,1)}
377:{1,2,5,6}:{(230,1),(259,1),(471,1),(534,1),(542,1),(546,1),(900,1),(930,1),(1395,1),(1551,1),(1666,1),(2453,1),(3267,1),(3453,1),(3486,1),(6346,1)}
378:{1,5}:{(232,1),(258,1),(547,1),(1635,1)}
379:{1,3,6}:{(234,1),(255,1),(472,1),(473,1),(543,1),(921,1),(1001,1),(1629,1),(2330,1),(2993,1),(3484,1),(3486,2),(4229,1)}
380:{1,6}:{(235,1),(256,1),(473,1)}
381:{1,6}:{(233,1),(254,1),(3486,1)}
382:{1,4,7}:{(237,1),(252,1),(255,1),(543,1),(563,1),(990,1),(1364,1),(1529,1),(3113,1),(4430,1),(6438,1)}
383:{1,4,5,7}:{(238,1),(251,1),(254,1),(475,1),(537,1),(544,1),(549,1),(561,1),(907,1),(994,1),(998,1),(1544,1),(1567,1),(1640,1),(1647,1),(3486,1)}
384:{1,4,7}:{(236,1),(253,1),(256,1),(545,1),(551,1),(562,1),(1364,1),(3486,1),(4430,1)}
385:{1,4,7}:{(239,1),(257,1),(267,1),(540,1),(554,1),(1410,1),(1599,1),(2142,1),(3486,1),(4430,1)}
386:{1,4,7}:{(241,1),(258,1),(266,1),(541,1),(552,1),(990,1)}
387:{1,2,4,7}:{(240,1),(259,1),(268,1),(478,1),(537,1),(542,1),(553,1),(945,1),(991,1),(1397,1),(1508,1),(1599,1),(4530,1),(5679,1)}
388:{2,3,6}:{(259,1),(261,1),(485,1),(521,1),(553,1),(1013,1),(1438,1),(1654,1),(4538,1)}
389:{3,6}:{(258,1),(262,1),(547,1),(552,1)}
390:{3,4,6}:{(257,1),(260,1),(484,1),(505,1),(548,1),(554,1),(790,1),(893,1),(896,1),(999,1),(1513,1)}
391:{1,2}:{(245,1),(252,1),(533,1),(1013,1),(2283,1)}
392:{1,2}:{(246,1),(253,1),(531,1)}
393:{1,2,5}:{(247,1),(251,1),(492,1),(532,1),(557,1),(1640,1)}
394:{1,2,3,5,7}:{(250,1),(255,1),(264,1),(267,1),(469,1),(496,1),(538,1),(540,1),(559,1),(563,1),(795,1),(840,1),(847,1),(915,1),(928,1),(949,1),(968,1),(984,1),(997,1),(1010,1),(1014,1),(1330,1),(1364,1),(1431,1),(1488,1),(1537,1),(1540,1),(1559,1),(1574,1),(1588,1),(1599,1),(1600,1),(1629,1),(2072,1),(2187,1),(2200,1),(2216,1),(2283,1),(2310,1),(2373,1),(2395,1),(2423,1),(2427,1),(2479,1),(2480,1),(3040,1),(3075,1),(3145,1),(3216,1),(3225,1),(3283,1),(3408,1),(3442,1),(3443,1),(3475,1),(3486,1),(4120,1),(4311,1),(4328,1),(4339,1),(5244,1),(5495,1),(5679,1),(6346,1),(6438,1)}
395:{1,2,5,7}:{(249,1),(256,1),(265,1),(266,1),(469,1),(539,1),(541,1),(558,1),(562,1),(928,1),(996,1),(1015,1),(1364,1),(1599,1),(2480,1),(3408,1),(3475,1),(3486,1)}
396:{1,2,5,7}:{(248,1),(254,1),(263,1),(268,1),(537,1),(560,1),(998,1)}
397:{3,5}:{(272,1),(299,1),(567,1),(577,1),(588,1),(1776,1)}
398:{3,5}:{(270,1),(299,1),(565,1),(578,1),(1033,1)}
399:{2,5,6}:{(271,1),(285,1),(306,1),(564,1),(569,1),(588,1),(635,1),(1079,1),(1125,1),(1255,1),(1256,1),(1702,1),(1825,1),(2516,1),(2551,1),(2755,1),(3550,1),(3553,1)}
400:{2,5,6}:{(269,1),(285,1),(306,1),(566,1),(568,1),(635,1),(1081,1),(1255,1),(1256,1),(1771,1)}
401:{3,7}:{(270,1),(304,1),(581,1)}
402:{3,4,7}:{(272,1),(304,1),(308,1),(571,1),(582,1),(593,1),(600,1),(604,1),(651,1),(1090,1),(1113,1)}
403:{2,4,7}:{(271,1),(292,1),(308,1),(569,1),(593,1),(600,1),(625,1),(642,1),(1088,1),(2758,1)}
404:{2,7}:{(269,1),(292,1)}
405:{1,6}:{(270,1),(276,1),(578,1),(581,1),(2516,1)}
406:{1,2,6}:{(269,1),(275,1),(326,1),(580,1),(585,1),(1222,1),(1255,1),(1256,1)}
407:{1,2,4,6}:{(271,1),(273,1),(326,1),(340,1),(579,1),(583,1),(584,1),(658,1),(674,1),(688,1),(699,1),(1047,1),(1077,1),(1092,1),(1176,1),(1222,1),(1255,1),(1256,1),(1761,1),(2967,1),(3787,1),(3844,1),(3972,1),(4652,1),(4703,1),(5071,1),(5970,1)}
408:{1,4,6}:{(272,1),(274,1),(340,1),(577,1),(582,1),(586,1),(668,1),(1048,1),(1054,1),(1070,1),(3919,1)}
409:{2,3,5}:{(273,1),(332,1),(348,1),(575,1),(584,1),(618,1),(1032,1),(1055,1),(1115,1),(1165,1),(1709,1),(2721,1),(2947,1),(3576,1),(3583,1),(5761,1),(6903,1),(7124,1)}
410:{1,3}:{(276,1),(316,1),(573,1),(2721,1),(3575,1),(3919,1)}
411:{1,3}:{(274,1),(316,1),(618,1),(2721,1),(3576,1),(3919,1)}
412:{2,3,5}:{(275,1),(332,1),(348,1),(572,1),(585,1),(1056,1)}
413:{4,7}:{(278,1),(298,1),(604,1)}
414:{4,5}:{(278,1),(299,1),(565,1),(605,1),(624,1),(1105,1)}
415:{4,7}:{(279,1),(284,1),(625,1)}
416:{4,5,6}:{(279,1),(285,1),(349,1),(350,1),(566,1),(591,1),(607,1),(626,1),(710,1),(712,1),(1081,1),(1137,1),(1255,1),(1771,1),(1795,1),(1995,1),(2525,1),(2677,1),(2701,1),(3503,1),(3514,1),(3714,1),(4606,1),(4860,1),(5745,1)}
417:{4,5}:{(282,1),(286,1),(608,1),(627,1),(1083,1),(1138,1),(2669,1)}
418:{4,6}:{(280,1),(305,1),(567,1),(593,1),(1105,1),(1672,1),(1782,1),(1795,1),(2731,1),(3507,1),(4860,1)}
419:{4,5}:{(280,1),(306,1),(566,1),(610,1)}
420:{4,6}:{(281,1),(294,1),(596,1),(630,1),(1795,1),(4860,1)}
421:{4}:{(312,1)}
422:{4,7}:{(280,1),(307,1),(598,1),(1105,1),(1795,1)}
423:{4,7}:{(282,1),(313,1),(714,1),(715,1),(1138,1),(1259,1),(1795,1),(2683,1),(4860,1),(5745,1)}
424:{4,6}:{(283,1),(314,1),(588,1),(600,1),(1079,1),(1673,1),(2516,1)}
425:{5,6}:{(286,1),(290,1),(588,1),(602,1),(603,1),(1079,1),(1255,1),(2516,1)}
426:{5,7}:{(285,1),(292,1),(601,1)}
427:{5,7}:{(286,1),(293,1),(602,1)}
428:{3,6,7}:{(277,1),(284,1),(287,1),(601,1),(604,1),(667,1)}
429:{3,6}:{(278,1),(288,1),(604,1),(605,1),(668,1),(2516,1),(2947,1)}
430:{3,4,6}:{(279,1),(287,1),(289,1),(598,1),(607,1),(617,1),(640,1),(669,1),(710,1),(712,1),(1024,1),(1092,1),(1099,1),(1121,1),(1137,1),(1255,1),(1263,1),(1265,1),(1287,1),(1289,1),(1677,1),(1786,1),(1787,1),(1795,1),(1880,1),(1995,1),(1999,1),(2000,1),(2005,1),(2513,1),(2525,1),(2528,1),(2539,1),(2674,1),(2679,1),(2689,1),(2928,1),(2946,1),(2947,1),(3539,1),(3714,1),(3754,1),(3762,1),(3972,1),(4695,1),(4860,1),(4863,1),(5745,1),(6106,1)}
431:{3,4}:{(280,1),(288,1),(610,1),(618,1),(641,1),(670,1),(2947,1)}
432:{4,7}:{(290,1),(295,1),(603,1),(642,1)}
433:{3,4,5,7}:{(281,1),(291,1),(296,1),(592,1),(596,1),(599,1),(608,1),(611,1),(612,1),(619,1),(643,1),(671,1),(1082,1),(1083,1),(1090,1),(1093,1),(1098,1),(1101,1),(1102,1),(1103,1),(1112,1),(1116,1),(1122,1),(1138,1),(1684,1),(1772,1),(1776,1),(1782,1),(1785,1),(1792,1),(1795,1),(1808,1),(1811,1),(1830,1),(1836,1),(1881,1),(2523,1),(2533,1),(2669,1),(2673,1),(2683,1),(2687,1),(2696,1),(2700,1),(2721,1),(2731,1),(2753,1),(2776,1),(2786,1),(2837,1),(2947,1),(3507,1),(3576,1),(3706,1),(3745,1),(3848,1),(3881,1),(4617,1),(4860,3),(4869,1),(4968,1),(4983,1),(5095,1),(5745,1),(5754,1),(6014,1),(7124,1)}
434:{3,4,6}:{(282,1),(291,1),(297,1),(608,1),(612,1),(644,1),(673,1),(1100,1),(1138,1),(1287,1),(1881,1),(2947,1)}
435:{3,5,7}:{(294,1),(295,1),(317,1),(596,1),(603,1),(615,1)}
436:{3,6}:{(296,1),(318,1),(602,1),(1079,1),(1255,1),(2516,1)}
437:{3}:{(319,1)}
438:{3,5}:{(320,1),(362,1),(363,1),(617,1),(618,1)}
439:{3,4}:{(321,1),(361,1),(363,1),(650,1),(714,1),(715,1)}
440:{3,4}:{(283,1),(316,1),(573,1),(652,1),(1782,1),(2721,1),(2731,1),(3510,1),(3575,1)}
441:{5,7}:{(299,1),(304,1),(622,1)}
442:{2,6,7}:{(277,1),(298,1),(300,1),(622,1),(625,1),(5690,1)}
443:{2,4,6}:{(278,1),(300,1),(301,1),(598,1),(624,1),(639,1),(1105,1),(3639,1),(3699,1),(4826,1)}
444:{2,6}:{(279,1),(302,1),(625,1)}
445:{2,4}:{(280,1),(302,1),(641,1)}
446:{2,5}:{(281,1),(303,1),(630,1),(631,1),(1135,1)}
447:{2,4,6}:{(282,1),(303,1),(627,1),(630,1),(631,1),(633,1),(644,1),(1127,1),(1138,1)}
448:{2,4,5}:{(283,1),(309,1),(588,1),(595,1),(631,1),(634,1),(652,1),(1089,1),(1125,1),(1135,1),(1782,1),(2731,1),(3506,1),(3510,1),(3543,1),(3549,1),(3560,1)}
449:{2,3,5,7}:{(284,1),(298,1),(305,1),(308,1),(569,1),(571,1),(593,1),(604,1),(625,1),(638,1),(692,1),(1028,1),(1037,1),(1080,1),(1113,1),(1146,1),(1159,1),(1772,1),(1806,1),(2758,1)}
450:{2,5,7}:{(306,1),(310,1),(355,1),(357,1),(594,1),(635,1),(1702,1),(1772,1),(2514,1)}
451:{2,5}:{(286,1),(311,1),(588,1),(595,1),(1083,1)}
452:{2,3,6}:{(287,1),(300,1),(307,1),(598,1),(635,1),(695,1),(1099,1),(1121,1)}
453:{2,3,7}:{(288,1),(301,1),(604,1),(613,1),(639,1),(641,1),(696,1),(2514,1),(2947,1)}
454:{2,3,5,7}:{(289,1),(302,1),(370,1),(371,1),(625,1),(632,1),(640,1),(641,1),(649,1),(697,1),(725,1),(726,1),(728,1),(730,1),(1037,1),(1041,1),(1130,1),(1146,1),(1159,1),(1166,1),(1281,1),(1283,1),(1305,1),(1307,1),(1772,1),(1868,1),(1873,1),(1877,1),(2016,1),(2045,1),(2734,1),(2758,1),(2773,1),(2942,1),(2947,1),(2950,1),(3562,1),(3778,1),(3828,1),(3991,1),(4678,1),(4683,1),(5095,1)}
455:{2,6}:{(290,1),(309,1),(642,1)}
456:{2,3,7}:{(291,1),(303,1),(633,1),(644,1),(650,1),(698,1),(1283,1),(1307,1),(3807,1)}
457:{2,4,7}:{(293,1),(311,1),(315,1),(599,1),(600,1),(637,1),(642,1),(713,1),(715,1),(1088,1),(1673,1),(1859,1)}
458:{2,3,5,6}:{(294,1),(312,1),(314,1),(334,1),(588,1),(597,1),(616,1),(630,1),(636,1),(645,1),(646,1),(647,1),(1079,1),(1083,1),(1093,1),(1100,1),(1125,1),(1135,1),(1150,1),(1155,1),(1158,1),(1774,1),(1776,1),(1786,1),(1788,1),(1825,1),(1833,1),(2516,1),(2755,1),(3952,1),(4968,1),(6106,1)}
459:{2,3,5,7}:{(296,1),(312,1),(315,1),(335,1),(599,1),(637,1),(647,1),(648,1),(649,1),(1083,1),(1101,1),(1158,1),(1159,1),(1772,1)}
460:{2,3,6,7}:{(297,1),(313,1),(336,1),(602,1),(614,1),(615,1),(644,1),(647,1),(648,1),(723,1),(724,1),(735,1),(736,1),(1121,1),(1127,1),(1141,1),(1159,1),(1167,1),(1255,1),(1823,1),(1865,1),(1881,1),(1882,1),(2786,1),(2942,1),(2947,1),(3762,1),(3800,1),(3991,1),(4695,1)}
461:{2,3,7}:{(295,1),(314,1),(337,1),(600,1),(642,1),(651,1)}
462:{3,6}:{(316,1),(338,1),(646,1),(651,1),(1033,1)}
463:{1,4,6,7}:{(277,1),(317,1),(318,1),(596,1),(615,1),(653,1),(655,1),(667,1),(686,1),(1091,1)}
464:{1,4,6}:{(278,1),(319,1),(334,1),(597,1),(616,1),(653,1),(654,1),(668,1),(2516,1),(2731,1),(3919,1)}
465:{1,4,6}:{(279,1),(320,1),(322,1),(617,1),(655,1),(688,1),(1092,1),(1255,1)}
466:{1,4}:{(280,1),(339,1),(618,1)}
467:{1,4,5}:{(281,1),(321,1),(328,1),(619,1),(660,1),(661,1),(690,1),(741,1),(742,1),(1048,1),(1301,1),(1795,1),(1902,1),(3871,1),(4860,1),(5745,1),(6980,1)}
468:{1,4,6}:{(282,1),(321,1),(344,1),(620,1),(657,1),(661,1),(663,1),(714,1),(715,1),(740,1),(742,1),(1050,1),(1092,1),(1254,1),(1255,1),(1259,1),(1287,1),(1301,1),(1783,1),(1795,1),(1899,1),(1995,1),(2000,1),(2683,1),(2699,1),(2926,1),(3844,1),(3871,1),(3970,1),(3972,2),(4006,1),(4860,1),(5119,1),(5745,3)}
469:{1,5,7}:{(284,1),(322,1),(324,1),(655,1),(667,1),(1772,1)}
470:{1,5,6}:{(285,1),(326,1),(376,1),(378,1),(665,1),(676,1),(743,1),(745,1),(1056,1),(1255,1),(1731,1),(1771,1)}
471:{1,5}:{(286,1),(327,1),(677,1),(1056,1)}
472:{1,6}:{(287,1),(323,1)}
473:{1}:{(288,1)}
474:{1,4,5,7}:{(289,1),(320,1),(323,1),(382,1),(384,1),(655,1),(662,1),(669,1),(670,1),(680,1),(697,1),(747,1),(748,1),(1051,1),(1169,1),(1186,1),(1191,1),(1193,1),(1194,1),(1286,1),(1299,1),(1301,1),(1308,1),(1310,1),(1772,1),(1795,1),(1884,1),(1900,1),(1902,1),(1926,1),(1930,1),(1953,1),(1954,1),(2030,1),(2598,1),(2638,1),(2802,1),(2808,1),(2813,1),(2833,1),(2958,1),(3636,1),(3658,1),(3830,1),(3844,1),(3919,1),(3946,1),(3948,1),(4575,1),(4729,1),(4757,1),(4860,1),(5095,1),(5707,1),(5745,1)}
475:{1,4,7}:{(291,1),(321,1),(329,1),(673,1),(698,1),(1301,1),(1908,1),(3871,1)}
476:{1,4,6}:{(290,1),(325,1),(330,1),(664,1),(672,1),(683,1),(699,1),(1255,1),(5119,1)}
477:{1,4,7}:{(292,1),(324,1),(326,1),(580,1),(665,1),(682,1),(1059,1),(1178,1),(1773,1),(2808,1)}
478:{1,4,7}:{(293,1),(327,1),(345,1),(666,1),(684,1),(1059,1)}
479:{1,4}:{(283,1),(346,1),(575,1)}
480:{1,3,5,6}:{(294,1),(322,1),(328,1),(330,1),(617,1),(660,1),(664,1),(675,1),(676,1),(678,1),(1110,1),(1190,1),(1255,1),(2035,1),(2928,1),(3854,1),(3888,1),(5119,1),(5894,1)}
481:{1,3,5,7}:{(296,1),(323,1),(328,1),(331,1),(666,1),(671,1),(678,1),(679,1),(753,1),(754,1),(1112,1),(1188,1),(1203,1),(1204,1),(1286,1),(1772,1),(1811,1),(1881,1),(1900,1),(2580,1),(2598,1),(2721,1),(2776,1),(2786,1),(2837,1),(2947,1),(3576,1),(3596,1),(3855,1),(3881,1),(3919,1),(3946,1),(3948,1),(5095,1),(7124,1)}
482:{1,3,7}:{(295,1),(324,1),(330,1),(672,1),(682,1),(1813,1),(1908,1),(2808,1)}
483:{1,3,6}:{(297,1),(329,1),(380,1),(381,1),(673,1),(679,1),(1881,1),(3918,1),(3919,1)}
484:{3,6}:{(326,1),(332,1),(682,1),(1255,1)}
485:{3,4,6}:{(327,1),(333,1),(388,1),(389,1),(677,1),(684,1),(740,1),(742,1),(1201,1),(1287,1),(2947,1)}
486:{3,4,5}:{(325,1),(332,1),(333,1),(572,1),(575,1),(677,1),(683,1),(708,1),(741,1),(742,1),(1055,1),(1056,1),(1084,1),(1115,1),(1120,1),(1183,1),(1679,1),(2544,1),(2947,1),(3583,1),(3743,1),(3976,1),(5745,1)}
487:{1,2,5,7}:{(298,1),(317,1),(334,1),(337,1),(645,1),(653,1),(685,1),(686,1),(1900,1),(1908,1),(1969,1),(2811,1),(3919,1),(3923,1)}
488:{1,5}:{(299,1),(338,1),(588,1),(646,1),(1776,1)}
489:{1,2,6}:{(300,1),(318,1),(335,1),(630,1),(647,1),(1825,1),(1833,1),(1907,1),(6106,1)}
490:{1,2,4,7}:{(301,1),(319,1),(335,1),(599,1),(631,1),(648,1),(653,1),(662,1),(687,1),(689,1),(696,1),(1134,1),(1199,1),(1240,1),(1969,1),(2731,1),(2802,1),(3919,1),(3923,1),(4983,1)}
491:{1,2,5}:{(302,1),(320,1),(391,1),(392,1),(649,1),(688,1),(689,1),(1902,1)}
492:{1,2}:{(303,1),(321,1),(650,1)}
493:{1,4,7}:{(304,1),(337,1),(338,1),(581,1),(600,1),(651,1),(685,1),(1090,1)}
494:{1,2,5,6}:{(305,1),(322,1),(339,1),(340,1),(577,1),(658,1),(668,1),(688,1),(692,1),(695,1),(1053,1),(1063,1),(1070,1),(1169,1),(1233,1),(1237,1),(1714,1),(1743,1),(1960,1),(2615,1),(2876,1),(3830,1),(3919,1)}
495:{1,2,5}:{(306,1),(342,1),(376,1),(378,1),(659,1),(703,1),(1056,1),(1169,1),(1749,1),(1889,1),(1988,1),(2045,1),(4757,1)}
496:{1,2,5,7}:{(307,1),(323,1),(339,1),(341,1),(662,1),(695,1),(696,1),(1169,1),(1194,1),(1233,1)}
497:{1,2,7}:{(308,1),(324,1),(340,1),(582,1),(1908,1)}
498:{1,2,5}:{(309,1),(325,1),(343,1),(699,1),(708,1),(1902,1),(1988,1),(5071,1)}
499:{1,2,4,7}:{(310,1),(341,1),(342,1),(385,1),(386,1),(580,1),(662,1),(693,1),(707,1),(1046,1),(1059,1),(1182,1),(1307,1),(1754,1),(1761,1),(2657,1),(3658,1),(3787,1),(3844,1),(5071,1)}
500:{1,2,4,6}:{(311,1),(327,1),(343,1),(347,1),(661,1),(674,1),(694,1),(699,1),(700,1),(709,1),(713,1),(715,1),(1092,1),(1176,1),(1185,1),(1229,1),(1255,1),(1256,1),(1295,1),(1740,1),(1988,1),(2051,1),(2828,1),(2895,1),(2909,1),(2910,1),(2967,1),(3844,1),(3972,1),(4006,1),(5071,1),(5119,1)}
501:{1,2,3,5}:{(312,1),(328,1),(339,1),(347,1),(618,1),(649,1),(661,1),(679,1),(690,1),(694,1),(703,1),(1115,1),(1161,1),(1165,1),(1195,1),(1209,1),(1236,1),(1240,1),(1250,1),(1869,1),(1881,1),(1902,1),(1960,1),(1988,1),(2045,1),(2615,1),(2655,1),(2721,1),(2947,1),(2950,1),(3576,1),(3583,1),(3919,1),(6180,1),(7124,1)}
502:{1,2,3,5,7}:{(313,1),(329,1),(344,1),(345,1),(395,1),(396,1),(663,1),(666,1),(675,1),(698,1),(705,1),(723,1),(724,1),(752,1),(754,1),(767,1),(1074,1),(1112,1),(1159,1),(1167,1),(1192,1),(1217,1),(1221,1),(1230,1),(1236,1),(1279,1),(1286,1),(1296,1),(1298,1),(1307,1),(1314,1),(1735,1),(1772,1),(1813,1),(1823,1),(1867,1),(1881,1),(1908,1),(1964,1),(2002,1),(2003,1),(2045,1),(2057,1),(2058,1),(2598,1),(2657,1),(2714,1),(2786,1),(2808,1),(2875,1),(2902,1),(2942,1),(2947,1),(3757,1),(3800,1),(3855,1),(3946,1),(3984,1),(3991,2),(5095,2),(5102,1)}
503:{1,2,3,6}:{(314,1),(330,1),(340,1),(346,1),(584,1),(586,1),(674,1),(699,1),(706,1),(1767,1),(5024,1),(5071,1),(5906,1),(5970,1)}
504:{1,2,3,7}:{(315,1),(331,1),(341,1),(347,1),(698,1),(700,1),(707,1),(1159,1),(1167,1),(1221,1),(1307,1),(1735,1),(1752,1),(1767,1),(1813,1),(1876,1),(1908,1),(1969,1),(1970,1),(2657,1),(2808,1),(2916,1),(3807,1),(3991,1),(5070,1),(5071,1)}
505:{2,3,6}:{(342,1),(348,1),(389,1),(390,1),(618,1),(703,1),(707,1),(1031,1),(1121,1),(1222,1),(2947,1),(3583,1),(4695,1)}
506:{2,3,4}:{(333,1),(343,1),(348,1),(572,1),(575,1),(650,1),(708,1),(713,1),(715,1),(1107,1),(1140,1),(1165,1),(1225,1),(1709,1),(2544,1),(3583,1),(6903,1)}
507:{4,5,7}:{(349,1),(353,1),(355,1),(710,1),(717,1),(725,1),(1084,1),(1772,1),(1773,1),(1792,1),(1795,1),(2526,1),(2677,1),(2696,1),(2701,1),(3713,1),(4860,1),(5745,1)}
508:{4,5,7}:{(351,1),(352,1),(356,1),(711,1),(716,1),(1088,1),(1775,1)}
509:{4,5,7}:{(350,1),(354,1),(357,1),(712,1),(718,1),(726,1),(1772,1),(1795,1),(2526,1),(2701,1),(5095,1),(5745,1)}
510:{2,6,7}:{(356,1),(602,1),(711,1),(1127,1),(2942,1),(3800,1)}
511:{6}:{(355,1)}
512:{6}:{(357,1)}
513:{3,5}:{(350,1),(359,1),(747,1),(2947,1)}
514:{3,5,6}:{(351,1),(358,1),(608,1),(716,1),(746,1),(1100,1),(1260,1),(1888,1),(2669,1)}
515:{3,5}:{(349,1),(360,1),(748,1),(1776,1)}
516:{3,4,6,7}:{(352,1),(358,1),(369,1),(711,1),(716,1),(724,1),(751,1),(1264,1),(1266,1),(1288,1)}
517:{3,4,6,7}:{(354,1),(359,1),(367,1),(598,1),(613,1),(712,1),(718,1),(723,1),(750,1),(1025,1),(1030,1),(1099,1),(1121,1),(1263,1),(1268,1),(1287,1),(1676,1),(1686,1),(1722,1),(1795,1),(1818,1),(2000,1),(2526,1),(2539,1),(2947,1),(3539,1),(4695,1),(5745,1)}
518:{3,4,6,7}:{(353,1),(360,1),(368,1),(598,1),(613,1),(710,1),(717,1),(722,1),(749,1),(1025,1),(1030,1),(1091,1),(1092,1),(1099,1),(1102,1),(1106,1),(1107,1),(1121,1),(1265,1),(1676,1),(1773,1),(1786,1),(1787,1),(1794,1),(1795,1),(1803,1),(1818,1),(1822,1),(1999,1),(2526,1),(2528,1),(2668,1),(2679,1),(2689,1),(2696,1),(2712,1),(3517,1),(3713,1),(3762,1),(3881,1),(4695,1),(4860,1),(4983,1),(5745,1),(5754,1),(6106,1)}
519:{3,6}:{(363,1),(375,1),(618,1),(721,1),(723,1),(2947,1)}
520:{3,4,6}:{(362,1),(374,1),(617,1),(618,1),(719,1),(722,1),(734,1),(1031,1),(1092,1),(1107,1),(1120,1),(1121,1),(1257,1),(1265,1),(1787,1),(1795,1),(1880,1),(1999,1),(2011,1),(2012,1),(2724,1),(2928,1),(2929,1),(2946,1),(2947,1),(3583,1),(3743,1),(3762,1),(3972,1),(4695,1),(4860,1),(5745,1)}
521:{3,6}:{(361,1),(373,1),(724,1),(1255,1),(1881,1)}
522:{2,5}:{(350,1),(366,1)}
523:{2,4,5,6}:{(351,1),(364,1),(627,1),(727,1),(729,1),(1127,1),(1132,1),(1138,1),(1826,1),(1830,1),(1835,1),(2669,1),(4606,1),(4641,1),(4646,1),(4848,1),(4910,1),(4918,1),(5800,1),(6014,1),(6054,1),(7096,1),(7787,1),(7796,1),(8045,1),(8575,1),(8600,1)}
524:{2,5}:{(349,1),(365,1)}
525:{2,4,7}:{(354,1),(366,1),(370,1),(625,1),(715,1),(726,1),(1307,1),(2942,1),(3787,1)}
526:{2,4,7}:{(352,1),(364,1),(372,1),(714,1),(1138,1),(1785,1),(1842,1)}
527:{2,4,7}:{(353,1),(365,1),(371,1),(625,1),(713,1),(725,1),(1859,1),(2744,1),(2758,1),(3787,1)}
528:{2,3,6}:{(358,1),(364,1),(372,1),(765,1),(1127,1),(1947,1)}
529:{2,3,6}:{(359,1),(366,1),(370,1),(641,1),(728,1),(766,1),(1283,1),(2947,1)}
530:{2,3,6}:{(360,1),(365,1),(371,1),(641,1),(730,1),(764,1),(1833,1),(4678,1)}
531:{2,3}:{(363,1),(392,1),(715,1)}
532:{2,3,5}:{(361,1),(393,1),(650,1),(714,1),(735,1),(1124,1),(1260,1)}
533:{2,3}:{(362,1),(391,1),(713,1)}
534:{1,4,5,6}:{(351,1),(373,1),(377,1),(657,1),(720,1),(739,1),(740,1),(746,1),(1172,1),(1176,1),(1255,1),(1300,1),(1723,1),(1771,1),(1886,1),(1888,1),(1995,1),(2035,1),(2606,1),(2669,1),(2699,1),(2919,1),(3970,1),(4757,1),(5119,1),(5745,1)}
535:{1,4,5}:{(349,1),(374,1),(376,1),(719,1),(741,1),(748,1),(758,1),(1084,1),(1169,1),(1257,1),(1308,1),(1778,1),(1795,1),(1884,1),(1889,1),(1902,1),(2583,1),(2677,1),(2701,1),(2833,1),(2863,1),(3830,1),(3844,1),(3948,1),(4757,1),(4860,1),(5745,1)}
536:{1,4,5}:{(350,1),(375,1),(378,1),(721,1),(742,1),(747,1),(759,1),(1169,1),(1259,1),(1301,1),(1310,1),(1795,1),(4757,1),(5745,1)}
537:{1,4,7}:{(352,1),(373,1),(396,1),(724,1)}
538:{1,4,7}:{(353,1),(374,1),(394,1),(722,1),(1178,1),(1182,1),(1308,1),(1773,1),(1784,1),(1795,1),(1914,1),(2526,1),(2808,1),(2861,1),(3713,1),(3844,1),(3946,1),(4860,1),(5745,1)}
539:{1,4,7}:{(354,1),(375,1),(395,1),(723,1),(1310,1),(3844,1)}
540:{1,5,7}:{(355,1),(376,1),(385,1),(743,1),(753,1),(1772,1),(2580,1),(3596,1),(3946,1),(3948,1)}
541:{1,5,7}:{(357,1),(378,1),(386,1),(745,1),(754,1)}
542:{1,2,5,7}:{(356,1),(377,1),(387,1),(666,1),(739,1),(744,1),(752,1),(1764,1),(2058,1),(2942,1),(3800,1),(3984,1)}
543:{1,4,6}:{(360,1),(379,1),(382,1),(670,1),(748,1),(764,1),(1052,1),(1287,1),(1308,1),(3919,1),(4729,1),(5894,1)}
544:{1,4,6}:{(358,1),(381,1),(383,1),(746,1),(756,1),(765,1)}
545:{1,4,6}:{(359,1),(380,1),(384,1),(670,1),(747,1),(755,1),(766,1),(1052,1),(1301,1),(1310,1)}
546:{2,3,5,6}:{(377,1),(388,1),(677,1),(720,1),(740,1),(752,1),(1161,1),(1201,1),(1223,1),(1282,1),(1865,1),(1888,1),(1947,1),(2045,1),(2669,1),(2947,1)}
547:{3,5}:{(378,1),(389,1),(742,1)}
548:{3,5}:{(376,1),(390,1),(741,1),(1056,1),(1889,1),(2947,1)}
549:{1,3,5,7}:{(361,1),(383,1),(681,1),(724,1),(756,1),(1112,1),(1207,1),(1286,1),(1881,1),(2598,1),(3855,1),(5095,1)}
550:{1,3,4,7}:{(362,1),(382,1),(680,1),(722,1),(757,1),(768,1),(1186,1),(1268,1),(1301,1),(1684,1),(1735,1),(1742,1),(1795,1),(1926,1),(1930,1),(2011,1),(2591,1),(2660,1),(2723,1),(2724,1),(2808,1),(3636,1),(3879,1),(3946,1),(4860,1),(4982,1),(5745,1),(7773,1)}
551:{1,3,7}:{(363,1),(384,1),(723,1),(755,1),(5024,1)}
552:{3,7}:{(386,1),(389,1)}
553:{2,3,7}:{(387,1),(388,1),(684,1),(724,1),(1307,1),(1813,1),(5102,1)}
554:{3,4,7}:{(385,1),(390,1),(682,1),(707,1),(753,1),(1059,1),(1178,1),(1182,1),(2609,1),(2947,1),(3743,1)}
555:{1,2,4,6}:{(365,1),(374,1),(391,1),(688,1),(689,1),(713,1),(734,1),(758,1),(762,1),(764,1),(1092,1),(1222,1),(1225,1),(1256,1),(1257,1),(1302,1),(1308,1),(1841,1),(1949,1),(1985,1),(1988,1),(1999,1),(2050,1),(2051,1),(2744,1),(2759,1),(2909,1),(2967,1),(3700,1),(3777,1),(3787,1),(3844,1),(3972,1),(5071,1)}
556:{1,2,4,6}:{(366,1),(375,1),(392,1),(688,1),(689,1),(715,1),(736,1),(759,1),(763,1),(766,1),(1092,1),(1255,1),(1259,1),(1295,1),(1304,1),(1310,1),(2000,1),(2051,1),(2967,1),(3972,1)}
557:{1,2,4,6}:{(364,1),(373,1),(393,1),(714,1),(735,1),(761,1),(765,1),(1294,1)}
558:{1,2,6,7}:{(367,1),(380,1),(395,1),(667,1),(695,1),(696,1),(745,1),(750,1),(766,1),(1304,1),(2028,1),(2057,1),(2657,1),(2909,1),(3689,1),(3946,1)}
559:{1,2,3,6,7}:{(368,1),(379,1),(394,1),(667,1),(695,1),(696,1),(743,1),(749,1),(764,1),(1068,1),(1121,1),(1200,1),(1203,1),(1205,1),(1212,1),(1234,1),(1244,1),(1248,1),(1249,1),(1250,1),(1265,1),(1302,1),(1676,1),(1866,1),(1923,1),(1946,1),(1969,1),(1981,1),(2026,1),(2028,1),(2668,1),(2712,1),(2876,1),(2909,1),(3488,1),(3594,1),(3596,1),(3689,1),(3762,1),(3881,1),(3919,1),(3923,1),(3946,1),(3991,1),(4695,1)}
560:{1,2,6,7}:{(369,1),(381,1),(396,1),(751,1),(765,1),(2058,1)}
561:{1,2,5,7}:{(372,1),(383,1),(393,1),(698,1),(761,1),(765,1),(1236,1),(1986,1),(2058,1)}
562:{1,2,7}:{(370,1),(384,1),(392,1),(766,1),(5071,1)}
563:{1,2,7}:{(371,1),(382,1),(391,1),(764,1),(1307,1),(1970,1),(3700,1),(5071,1)}
564:{4,5,6}:{(399,1),(418,1),(419,1),(772,1),(777,1),(811,1),(812,1),(817,1),(818,1),(1320,1),(1400,1),(1401,1),(1402,1),(1403,1),(1425,1),(2059,1),(2199,1),(2224,1),(2999,1),(3004,1),(3173,1),(4033,1)}
565:{4}:{(398,1),(780,1)}
566:{4,6}:{(400,1),(419,1),(771,1),(774,1)}
567:{4,5}:{(397,1),(418,1),(779,1),(811,1),(821,1),(1400,1),(2999,1),(3173,1)}
568:{2,5,7}:{(400,1),(404,1),(426,1),(771,1),(784,1),(1323,1),(1599,1),(1600,1),(2200,1)}
569:{2,5,7}:{(399,1),(403,1),(426,1),(772,1),(783,1),(810,1),(1599,1),(1600,1),(3009,1),(3263,1)}
570:{3,5,7}:{(398,1),(401,1),(441,1),(773,1),(782,1),(796,1),(1321,1),(1331,1),(2074,1)}
571:{3,5,7}:{(397,1),(402,1),(441,1),(770,1),(785,1),(794,1),(810,1),(3259,1)}
572:{4}:{(412,1)}
573:{1,4}:{(410,1),(440,1),(807,1)}
574:{1,3,4}:{(411,1),(440,1),(479,1),(809,1),(846,1),(911,1),(2215,1),(2326,1),(2349,1),(2431,1),(3119,1),(3232,1),(3436,1),(3438,1),(3486,1),(4053,1),(4125,1),(4129,1),(4228,1),(4325,1),(4425,1),(5485,1),(6248,1),(6305,1),(6531,1),(6658,1),(7488,1),(7490,1),(9523,1)}
575:{3,4}:{(409,1),(479,1),(824,1),(896,1),(2215,1),(3436,1)}
576:{1,2,5,6}:{(400,1),(406,1),(470,1),(495,1),(787,1),(795,1),(799,1),(937,1),(1502,1),(2147,1),(2193,1),(3097,1),(3408,1),(3484,1),(3486,1)}
577:{1,5}:{(397,1),(408,1)}
578:{1,5}:{(398,1),(405,1),(786,1),(2061,1)}
579:{1,2,5,6}:{(399,1),(407,1),(470,1),(495,1),(789,1),(797,1),(798,1),(902,1),(937,1),(1395,1),(1400,1),(1518,1),(1555,1),(2181,1),(2194,1),(2199,1),(2283,1),(2380,1),(3039,1),(3072,1),(3267,1),(3269,1),(3390,1),(3408,1),(3484,1),(3486,1),(4089,1),(4526,1),(5495,1),(5660,1),(6346,1)}
580:{1,2,7}:{(404,1),(406,1),(477,1),(804,1),(1559,1),(1599,1),(1600,1)}
581:{1,7}:{(401,1),(405,1),(3009,1)}
582:{1,4,7}:{(402,1),(408,1),(497,1),(794,1),(803,1),(903,1)}
583:{1,2,4,7}:{(403,1),(407,1),(477,1),(497,1),(797,1),(805,1),(889,1),(914,1),(928,1),(945,1),(1360,1),(1397,1),(1410,1),(1508,1),(1559,1),(1599,1),(1600,1),(3475,1),(4077,1),(4124,1),(4532,1),(5388,1)}
584:{2,3,6}:{(407,1),(409,1),(484,1),(793,1),(805,1),(843,1),(1438,1),(2197,1),(4328,1),(4368,1),(5195,1)}
585:{2,3,6}:{(406,1),(412,1),(484,1),(790,1),(804,1)}
586:{1,3,6}:{(408,1),(411,1),(462,1),(800,1),(803,1),(843,1),(1374,1)}
587:{1,3,6}:{(405,1),(410,1),(462,1),(792,1),(801,1),(802,1),(2086,1)}
588:{5}:{(424,1)}
589:{4,5,7}:{(413,1),(414,1),(441,1),(773,1),(813,1),(826,1),(851,1),(1321,1),(1424,1),(2066,1)}
590:{4,5,6}:{(417,1),(420,1),(425,1),(812,1),(815,1),(816,1),(818,1),(827,1),(852,1),(1402,1),(1403,1),(1462,1),(2224,1),(2229,1),(3014,1),(3173,1),(3203,1),(4270,1)}
591:{4,5,7}:{(415,1),(416,1),(426,1),(771,1),(814,1),(828,1),(853,1),(1323,1),(1463,1),(1599,1),(2200,1),(2227,1),(2437,1),(4045,1),(5166,1)}
592:{4,5,7}:{(417,1),(423,1),(427,1),(815,1),(829,1),(854,1),(958,1),(959,1),(1598,1),(1599,1),(1603,1),(2229,1),(2437,1),(3204,1)}
593:{4,7}:{(418,1),(449,1)}
594:{4,5,7}:{(419,1),(422,1),(450,1),(771,1),(811,1),(817,1),(831,1),(1323,1),(1425,1),(2064,1)}
595:{4,5}:{(421,1),(451,1),(818,1),(832,1)}
596:{4,7}:{(420,1),(435,1),(858,1)}
597:{4,6}:{(421,1),(458,1),(812,1),(820,1),(821,1),(1427,1)}
598:{4,6}:{(422,1),(452,1),(811,1)}
599:{4,7}:{(421,1),(459,1),(823,1),(824,1),(1427,1)}
600:{4,7}:{(424,1),(461,1),(810,1),(3009,1)}
601:{6,7}:{(426,1),(511,1),(512,1),(1599,1),(3009,1)}
602:{6}:{(427,1)}
603:{5,7}:{(425,1),(432,1),(825,1),(1599,1),(3009,1)}
604:{3,7}:{(413,1),(429,1),(903,1),(3009,1)}
605:{3,5}:{(414,1),(429,1),(775,1),(904,1),(2061,1)}
606:{3,4,6,7}:{(415,1),(428,1),(430,1),(814,1),(822,1),(828,1),(830,1),(840,1),(868,1),(905,1),(1325,1),(1410,1),(1433,1),(1440,1),(1446,1),(1463,1),(1510,1),(1599,1),(2199,1),(2212,1),(2216,1),(2227,1),(2310,1),(2437,1),(2443,1),(3283,1),(3443,1),(4532,1),(5660,1)}
607:{3,5,6}:{(416,1),(430,1),(513,1),(515,1),(774,1),(811,1),(828,1),(906,1),(1320,1),(1400,1),(1431,1),(1634,1),(1635,1),(2199,1),(2238,1),(2241,1),(2434,1),(2436,1),(2999,1),(3171,1),(3173,1),(4056,1),(4060,1),(4311,1),(4526,1),(5178,1),(5244,1),(5432,1),(5660,1)}
608:{3,5}:{(417,1),(434,1),(907,1),(1635,1)}
609:{3,4,6}:{(418,1),(429,1),(431,1),(776,1),(777,1),(830,1),(843,1),(871,1),(908,1),(2224,1),(3259,1),(3347,1),(4053,1),(4167,1),(4409,1)}
610:{3,5}:{(419,1),(431,1),(774,1),(909,1)}
611:{3,4,6}:{(420,1),(433,1),(436,1),(815,1),(823,1),(827,1),(873,1),(910,1),(1402,1),(1408,1),(1420,1),(1434,1),(1462,1),(2199,1),(2211,1),(2224,1),(2243,1),(2309,1),(3004,1),(3175,1),(3191,1),(3203,1),(3258,1),(3259,1),(3347,1),(4409,1),(5178,1),(5660,1)}
612:{3,4}:{(421,1),(437,1),(832,1),(874,1),(911,1),(3259,1)}
613:{3,4,7}:{(422,1),(431,1),(453,1),(831,1),(835,1),(847,1),(912,1),(2064,1),(3105,1),(4018,1)}
614:{3,4,6,7}:{(423,1),(434,1),(460,1),(815,1),(823,1),(829,1),(836,1),(848,1),(913,1),(963,1),(964,1),(1406,1),(1410,1),(1420,1),(1421,1),(1434,1),(1447,1),(1598,1),(1599,1),(2199,1),(2211,1),(2216,1),(2246,1),(2437,1),(2443,1),(2444,1),(3204,1),(3443,1),(4532,1),(5660,1)}
615:{3,6,7}:{(435,1),(436,1),(463,1),(825,1),(838,1),(840,1),(1599,1),(3009,1)}
616:{3,6}:{(437,1),(464,1),(838,1),(839,1),(3259,1)}
617:{3,6}:{(438,1),(465,1),(840,1)}
618:{3}:{(466,1)}
619:{3,4,5}:{(438,1),(439,1),(467,1),(824,1),(842,1),(845,1),(846,1),(882,1),(958,1),(959,1),(969,1),(1332,1),(1400,1),(1412,1),(1415,1),(1436,1),(1603,1),(2059,1),(2203,1),(2215,1),(2229,1),(2446,1),(3212,1),(3436,1),(4526,1),(5440,1),(6299,1)}
620:{3,4,6}:{(439,1),(468,1),(519,1),(521,1),(842,1),(846,1),(848,1),(883,1),(969,1),(1412,1),(1434,1),(1438,1),(2211,1),(2253,1),(2309,1),(3212,1),(3222,1),(3440,1),(4328,1),(4538,1)}
621:{3,4,6}:{(424,1),(440,1),(462,1),(792,1),(821,1),(837,1),(849,1),(884,1),(1333,1),(1408,1),(1409,1),(1430,1),(2086,1),(3259,1)}
622:{6}:{(441,1)}
623:{2,4,6,7}:{(413,1),(442,1),(443,1),(813,1),(822,1),(851,1),(855,1),(866,1),(1336,1),(1424,1),(2097,1),(4020,1),(4256,1),(5407,1),(5410,1)}
624:{2,5}:{(414,1),(443,1),(780,1),(811,1),(4179,1)}
625:{2,7}:{(415,1),(444,1)}
626:{2,5,6}:{(416,1),(444,1),(522,1),(524,1),(781,1),(853,1),(973,1),(974,1),(2283,1),(2453,1),(3039,1),(3244,1),(3269,1),(4065,1),(4340,1),(5495,1),(6346,1)}
627:{2,5}:{(417,1),(447,1)}
628:{2,4,6}:{(418,1),(444,1),(445,1),(779,1),(855,1),(871,1),(1336,1),(1346,1),(2283,1),(3039,1),(4079,1),(4409,1),(5495,1)}
629:{2,4,5}:{(419,1),(445,1),(522,1),(524,1),(781,1),(872,1),(975,1),(976,1),(1464,1),(2488,1),(4033,1),(4065,1),(4079,1),(5224,1)}
630:{2,6}:{(420,1),(446,1),(858,1),(2283,1),(5495,1)}
631:{2,4}:{(421,1),(446,1),(874,1)}
632:{2,4,7}:{(422,1),(445,1),(454,1),(824,1),(860,1),(975,1),(976,1),(1346,1),(1410,1),(1463,1),(1605,1),(1606,1),(1619,1),(1620,1),(2069,1),(2209,1),(2214,1),(2283,1),(2488,1),(3027,1),(3189,1),(3436,1),(4079,1),(4289,1),(4532,1),(5224,1),(5495,1),(6346,1)}
633:{2,4,7}:{(423,1),(447,1),(456,1),(854,1),(858,1),(863,1),(1620,1),(2283,1),(3249,1),(5495,1),(6346,1)}
634:{2,4,6}:{(424,1),(448,1),(455,1),(818,1),(850,1),(862,1),(884,1),(1409,1),(2109,1),(4038,1),(4088,1),(5495,1)}
635:{2,6}:{(450,1),(511,1),(512,1),(817,1),(2199,1)}
636:{2,5,6}:{(425,1),(451,1),(455,1),(818,1),(864,1),(865,1),(1403,1)}
637:{2,5,7}:{(427,1),(451,1),(457,1),(810,1),(819,1),(864,1),(957,1),(959,1),(1599,1),(1600,1),(2061,1),(2280,1),(3009,1),(3263,1)}
638:{2,3,6,7}:{(428,1),(442,1),(449,1),(452,1),(783,1),(785,1),(822,1),(940,1),(1325,1),(1336,1),(1446,1),(2112,1),(2199,1),(2273,1)}
639:{2,3,6}:{(429,1),(443,1),(453,1),(835,1),(867,1),(941,1),(2106,1),(2283,1),(3426,1)}
640:{2,3,6}:{(430,1),(444,1),(454,1),(860,1),(942,1),(973,1),(974,1),(1336,1),(1652,1),(1654,1),(2199,1),(2283,1),(2453,1),(3039,1),(3239,1),(4340,1),(5495,1),(5660,1),(6346,1)}
641:{2,3}:{(431,1),(445,1),(943,1)}
642:{2,7}:{(432,1),(455,1)}
643:{2,3,5,7}:{(433,1),(446,1),(456,1),(854,1),(858,1),(861,1),(870,1),(873,1),(874,1),(882,1),(944,1),(1451,1),(1452,1),(1461,1),(1469,1),(1478,1),(1479,1),(1493,1),(1499,1),(2120,1),(2255,1),(2257,1),(2280,1),(2283,1),(2294,1),(3038,1),(3053,1),(3259,1),(3263,1),(3268,1),(3414,1),(4367,1),(4511,1),(5495,3),(5504,1),(5546,1),(6346,1)}
644:{2,3,6}:{(434,1),(447,1),(456,1),(870,1),(874,1),(946,1),(1654,1)}
645:{2,3,5,7}:{(435,1),(458,1),(461,1),(487,1),(810,1),(820,1),(838,1),(858,1),(865,1),(877,1),(878,1),(1404,1),(1413,1),(1421,1),(1451,1),(1461,1),(1478,1),(2219,1),(2257,1),(3009,1),(3259,1),(3263,1),(4511,1),(5546,1)}
646:{3,5}:{(462,1),(488,1),(821,1)}
647:{2,3,6}:{(436,1),(459,1),(489,1),(823,1),(864,1),(1420,1),(2199,1)}
648:{2,3,7}:{(437,1),(490,1),(836,1),(838,1),(847,1),(874,1),(879,1),(881,1),(3009,1),(3225,1),(3259,1),(3263,1)}
649:{2,3,5}:{(438,1),(491,1),(531,1),(533,1),(824,1),(880,1),(881,1),(957,1),(959,1),(1400,1),(1415,1)}
650:{2,3}:{(439,1),(492,1),(863,1)}
651:{3,7}:{(462,1),(493,1)}
652:{2,3,5}:{(440,1),(448,1),(807,1),(832,1),(837,1),(874,1),(884,1),(2257,1),(3259,1),(4059,1),(4119,1)}
653:{1,4,7}:{(413,1),(464,1),(487,1),(820,1),(838,1),(903,1),(3009,1)}
654:{1,4,5}:{(414,1),(464,1),(488,1),(786,1),(812,1),(821,1),(839,1),(904,1),(927,1),(1427,1),(1519,1),(1529,1),(1531,1),(2061,1),(2326,1)}
655:{1,4,7}:{(415,1),(465,1),(469,1),(840,1),(928,1),(1410,1),(1599,1)}
656:{1,4,5,6}:{(416,1),(465,1),(470,1),(535,1),(536,1),(787,1),(841,1),(887,1),(893,1),(906,1),(929,1),(987,1),(988,1),(1358,1),(1400,1),(1401,1),(1411,1),(1502,1),(1543,1),(1566,1),(1634,1),(1635,1),(2127,1),(2147,1),(2199,1),(2204,1),(2228,1),(2315,1),(2322,1),(2331,1),(2434,1),(2436,1),(2470,1),(2472,2),(2486,1),(2488,1),(2490,1),(3073,1),(3097,1),(3129,1),(3171,1),(3178,1),(3304,1),(3484,1),(3486,1),(4060,1),(4185,1),(4195,1),(4526,2),(5334,1),(5432,1),(5660,2),(6289,1)}
657:{1,4,5}:{(417,1),(468,1),(471,1),(842,1),(894,1),(907,1),(930,1),(958,1),(959,1),(1358,1),(1400,1),(1412,1),(1503,1),(1567,1),(1603,1),(1635,1),(1640,1),(1642,1),(2147,1),(2203,1),(2229,1),(2436,1),(2488,1),(3129,1),(3320,1),(3433,1),(3486,1),(4526,2),(4555,1)}
658:{1,4,6}:{(418,1),(466,1),(494,1),(788,1),(843,1),(889,1),(1531,1),(2326,1),(3119,1)}
659:{1,4,5}:{(419,1),(466,1),(495,1),(787,1),(844,1),(896,1),(909,1),(1358,1),(1546,1),(2147,1),(2488,1),(3129,1),(3486,1)}
660:{1,4,6}:{(420,1),(467,1),(480,1),(845,1),(892,1),(893,1),(933,1),(2331,1)}
661:{1,4}:{(421,1),(501,1),(824,1),(846,1),(896,1),(1412,1),(2215,1),(2488,1),(3436,1),(3486,1)}
662:{1,4,7}:{(422,1),(466,1),(496,1),(847,1),(897,1),(1531,1)}
663:{1,4,7}:{(423,1),(468,1),(502,1),(848,1),(990,1),(991,1),(1362,1),(1410,1),(1567,1),(1598,1),(1599,1),(1605,1),(1639,1),(2213,1),(2437,1),(2488,1),(3204,1),(3486,1),(4530,1),(4532,2),(5679,1)}
664:{1,5,6}:{(425,1),(471,1),(476,1),(900,1),(901,1),(902,1),(916,1),(1518,1),(2147,1),(3072,1),(3097,1),(3484,1),(3486,1)}
665:{1,5,7}:{(426,1),(470,1),(477,1),(899,1),(915,1),(1371,1),(1599,1),(2200,1)}
666:{1,5,7}:{(427,1),(471,1),(478,1),(900,1),(917,1),(1371,1),(3486,1)}
667:{1,6,7}:{(428,1),(469,1),(472,1),(903,1),(2199,1)}
668:{1,6}:{(429,1),(473,1),(903,1),(904,1),(3486,1)}
669:{1,4,6}:{(430,1),(472,1),(474,1),(906,1),(920,1),(942,1),(1525,1),(1632,1),(2199,1),(2330,1),(2331,1),(2993,1),(3097,1),(3315,1),(3484,1),(3486,1),(5660,1)}
670:{1,4}:{(431,1),(473,1),(909,1),(921,1),(943,1),(3486,1)}
671:{1,4,5,7}:{(433,1),(467,1),(475,1),(481,1),(892,1),(898,1),(907,1),(910,1),(911,1),(944,1),(990,1),(992,1),(1361,1),(1503,1),(1519,1),(1524,1),(1527,1),(1528,1),(1529,1),(1567,1),(1635,1),(2125,1),(2326,1),(2336,1),(2379,1),(2387,1),(2488,1),(3119,1),(3323,1),(3388,1),(3486,1),(4432,1),(5297,1),(5546,1),(5562,1),(6438,1),(6658,1)}
672:{1,4,7}:{(432,1),(476,1),(482,1),(901,1),(924,1),(945,1),(1599,1),(5679,1)}
673:{1,4,6}:{(434,1),(475,1),(483,1),(907,1),(911,1),(946,1),(1526,1),(1567,1),(3486,1)}
674:{1,4,6}:{(424,1),(479,1),(503,1),(793,1),(902,1),(914,1),(1518,1),(2142,1),(3072,1),(3484,1),(3486,1),(4430,1)}
675:{1,3,5,7}:{(435,1),(469,1),(480,1),(482,1),(840,1),(892,1),(901,1),(915,1),(918,1),(1435,1),(1524,1),(1599,1),(2480,1),(3443,1),(4311,1),(4416,1),(4448,1),(5679,1),(6438,1)}
676:{3,5,6}:{(470,1),(484,1),(547,1),(548,1),(893,1),(915,1),(999,1),(1001,1),(1634,1),(1635,1)}
677:{3,5}:{(471,1),(485,1),(894,1),(1635,1)}
678:{1,3,6}:{(436,1),(472,1),(481,1),(900,1),(910,1),(999,1),(1001,1),(1434,1),(1518,1),(1632,1),(2199,1),(2243,1),(2309,1),(2330,1),(3072,1),(3097,1),(3347,1),(3484,1),(3486,1),(4415,1),(5660,1)}
679:{1,3}:{(437,1),(473,1),(911,1),(3486,1)}
680:{1,3,5,7}:{(438,1),(474,1),(550,1),(551,1),(840,1),(847,1),(920,1),(921,1),(966,1),(968,1),(1003,1),(1004,1),(1328,1),(1372,1),(1431,1),(1539,1),(1628,1),(1629,1),(2310,1),(2311,1),(2446,1),(3075,1),(3221,1),(3225,1),(3443,1),(3486,1),(4120,1),(4229,1),(4311,1),(4328,1),(5244,1),(5544,1),(6248,1)}
681:{1,3,4,7}:{(439,1),(475,1),(549,1),(551,1),(848,1),(923,1),(954,1),(994,1),(995,1),(1647,1),(2151,1),(2357,1),(3336,1),(3424,1),(3443,1),(3486,1),(4120,1),(4532,1),(5679,1)}
682:{3,7}:{(477,1),(484,1),(1599,1)}
683:{3,4,6}:{(476,1),(484,1),(486,1),(790,1),(893,1),(916,1),(924,1),(955,1),(1401,1),(1438,1),(1514,1),(4538,1)}
684:{3,4,7}:{(478,1),(485,1),(552,1),(553,1),(917,1),(990,1),(991,1)}
685:{1,5,7}:{(441,1),(488,1),(493,1),(810,1),(877,1),(925,1)}
686:{1,2,6,7}:{(442,1),(463,1),(487,1),(489,1),(858,1),(878,1),(925,1),(928,1),(2330,1),(2338,1)}
687:{1,2,4,6}:{(443,1),(464,1),(489,1),(490,1),(823,1),(859,1),(879,1),(897,1),(927,1),(941,1),(1427,1),(1531,1),(1532,1),(1580,1),(2283,1),(2326,1),(2410,1),(3308,1),(3390,1),(4409,1),(5495,1)}
688:{1,2,6}:{(444,1),(465,1),(491,1),(880,1),(928,1),(2331,1)}
689:{1,2,4}:{(445,1),(466,1),(491,1),(824,1),(881,1),(943,1),(1533,1)}
690:{1,2,5}:{(446,1),(467,1),(492,1),(882,1),(933,1),(934,1),(1011,1),(1013,1),(1381,1),(1665,1),(2283,1),(4499,1),(5495,1),(6346,1),(7532,1)}
691:{1,2,4,6}:{(447,1),(468,1),(492,1),(863,1),(883,1),(930,1),(933,1),(934,1),(936,1),(946,1),(1012,1),(1013,1),(1383,1),(1412,1),(1449,1),(1467,1),(1551,1),(1567,1),(1620,1),(1654,1),(1665,1),(1666,1),(2193,1),(2211,1),(2283,1),(2393,1),(2453,1),(2458,1),(2488,1),(2498,1),(3129,1),(3249,1),(3267,1),(3482,1),(3486,1),(4195,1),(4499,1),(5495,1),(6346,4)}
692:{1,2,5,7}:{(449,1),(469,1),(494,1),(497,1),(794,1),(889,1),(903,1),(928,1),(940,1),(1366,1),(1501,1),(1576,1)}
693:{1,2,5,7}:{(450,1),(495,1),(499,1),(540,1),(541,1),(890,1),(937,1),(949,1),(1371,1),(2162,1),(2181,1),(2283,1),(2427,1),(2983,1),(3040,1),(3269,1),(3408,1),(3486,1),(6346,1)}
694:{1,2,5}:{(451,1),(471,1),(500,1),(891,1),(902,1),(950,1),(957,1),(959,1),(1400,1),(1503,1),(1642,1),(2147,1),(3320,1),(3486,1),(4526,1),(4555,1),(6346,1)}
695:{1,2,6}:{(452,1),(472,1),(496,1),(897,1),(1525,1),(2283,1)}
696:{1,2,7}:{(453,1),(473,1),(903,1),(912,1),(941,1),(943,1),(3486,1)}
697:{1,2,5,7}:{(454,1),(474,1),(491,1),(562,1),(563,1),(928,1),(935,1),(942,1),(943,1),(1014,1),(1015,1),(1387,1),(1554,1),(1576,1),(1664,1),(1665,1),(2283,1),(2423,1),(2427,1),(2491,1),(3408,1),(3475,1),(3486,1),(4257,1),(5154,1),(5390,1),(5495,1),(6346,1)}
698:{1,2,7}:{(456,1),(475,1),(492,1),(946,1),(1665,1),(4499,1)}
699:{1,2,6}:{(455,1),(476,1),(498,1),(945,1),(955,1),(2331,1)}
700:{1,2,4,7}:{(457,1),(478,1),(500,1),(504,1),(898,1),(914,1),(939,1),(945,1),(956,1),(995,1),(1410,1),(1508,1),(1599,1),(1600,1),(2142,1),(2151,1),(2283,1),(2410,1),(2427,1),(3249,1),(3336,1),(3422,1),(3475,1),(3486,1),(4532,1),(5495,1),(5679,1),(6346,1)}
701:{1,2,4,5}:{(448,1),(479,1),(498,1),(806,1),(809,1),(891,1),(902,1),(934,1),(947,1),(1357,1),(1381,1),(1555,1),(2215,1),(2326,1),(2337,1),(2349,1),(2398,1),(2412,1),(2428,1),(2491,1),(3119,1),(3129,1),(3130,1),(3133,1),(3311,1),(3320,1),(3436,1),(3486,1),(4033,1),(4079,1),(4125,1),(4129,1),(4147,1),(4196,1),(4208,1),(4219,1),(4240,1),(4430,1),(4499,1),(4526,1),(4555,1),(5209,1),(5297,1),(5390,1),(5495,1),(6346,1),(6473,1),(6554,1),(6658,1),(7532,1)}
702:{1,2,3,5,6}:{(458,1),(480,1),(494,1),(501,1),(503,1),(798,1),(800,1),(843,1),(880,1),(895,1),(902,1),(919,1),(933,1),(938,1),(948,1),(951,1),(1350,1),(1373,1),(1381,1),(1389,1),(1400,1),(1431,1),(1436,1),(1438,1),(1487,1),(1496,1),(1503,1),(1518,1),(1519,1),(1526,1),(1555,1),(1573,1),(1580,1),(1588,1),(1592,1),(2071,1),(2112,1),(2125,1),(2166,1),(2194,1),(2199,1),(2218,1),(2240,1),(2243,1),(2283,1),(2294,1),(2309,1),(2318,1),(2330,1),(2331,1),(2332,1),(2334,1),(2380,1),(2418,1),(2420,1),(2999,1),(3034,1),(3039,1),(3053,1),(3072,1),(3267,1),(3279,1),(3315,1),(3320,1),(3347,1),(3381,1),(3390,1),(3408,1),(3412,1),(3413,1),(3458,1),(3484,1),(3486,1),(4081,1),(4225,1),(4229,1),(4311,3),(4324,1),(4328,1),(4391,1),(4415,1),(4499,1),(4505,1),(4526,1),(5178,1),(5195,1),(5244,1),(5246,1),(5297,1),(5390,1),(5467,1),(5495,3),(5562,1),(5634,1),(5660,1),(6346,1),(6447,1),(6612,1),(7532,1)}
703:{2,3,5}:{(495,1),(505,1),(547,1),(548,1),(844,1),(896,1),(1011,1),(1013,1),(1431,1),(1497,1),(2283,1),(5244,1),(6346,1)}
704:{1,2,3,5,7}:{(459,1),(481,1),(496,1),(501,1),(504,1),(847,1),(898,1),(939,1),(944,1),(949,1),(951,1),(952,1),(1431,1),(1439,1),(1489,1),(1499,1),(1503,1),(1527,1),(1540,1),(1588,1),(2283,1),(2294,1),(2299,1),(2395,1),(2427,1),(3145,1),(3225,1),(3408,1),(3414,1),(3486,1),(4120,1),(4311,1),(4328,1),(4511,1),(5244,1),(5495,1),(5546,1),(6346,1)}
705:{1,2,3,6,7}:{(460,1),(483,1),(502,1),(558,1),(560,1),(900,1),(913,1),(918,1),(946,1),(951,1),(952,1),(1000,1),(1001,1),(1006,1),(1007,1),(1020,1),(1022,1),(1390,1),(1434,1),(1551,1),(1570,1),(1579,1),(1622,1),(1632,1),(1654,1),(2199,1),(2246,1),(2296,1),(2371,1),(2443,1),(2444,1),(3097,1),(3443,1),(3455,1),(3475,1),(3486,1),(4415,1),(4511,1),(5660,2)}
706:{1,2,3,7}:{(461,1),(482,1),(497,1),(503,1),(803,1),(805,1),(914,1),(945,1),(5325,1),(5388,1)}
707:{2,3,7}:{(499,1),(505,1),(552,1),(554,1),(847,1),(1330,1),(1559,1),(2197,1),(4120,1),(4328,1),(4368,1)}
708:{2,3,5}:{(486,1),(498,1),(506,1),(808,1),(955,1),(957,1),(959,1),(1011,1),(1013,1),(1415,1),(1497,1),(4368,1),(6346,1)}
709:{2,3,4,6}:{(485,1),(500,1),(505,1),(506,1),(790,1),(793,1),(846,1),(883,1),(896,1),(950,1),(955,1),(956,1),(964,1),(1012,1),(1013,1),(1334,1),(1380,1),(1383,1),(1412,1),(1438,1),(1447,1),(1467,1),(1496,1),(1497,1),(1513,1),(1514,1),(1585,1),(1620,1),(1654,1),(2211,1),(2215,1),(2236,1),(2283,1),(2292,1),(2306,1),(2307,1),(2453,1),(2458,1),(2467,1),(2488,1),(3189,1),(3191,1),(3249,1),(3267,1),(3436,1),(3440,1),(3458,1),(4328,1),(4368,1),(4409,1),(4538,1),(5495,1),(6346,3)}
710:{4,6}:{(507,1),(511,1),(961,1),(973,1),(2199,1)}
711:{4,6,7}:{(508,1),(510,1),(815,1),(962,1),(1599,1),(2437,1),(3204,1)}
712:{4,6}:{(509,1),(512,1),(960,1),(974,1),(2199,1),(5660,1)}
713:{2,4}:{(533,1),(824,1),(957,1)}
714:{4}:{(532,1)}
715:{4}:{(531,1),(959,1)}
716:{3,5,7}:{(508,1),(514,1),(516,1),(998,1),(1421,1),(1636,1)}
717:{3,5,7}:{(507,1),(515,1),(518,1),(811,1),(961,1),(997,1),(1323,1),(1400,1),(1404,1),(1414,1),(1415,1),(1431,1),(2200,1),(2216,1),(2238,1),(2241,1),(2434,1),(2999,1),(3173,1),(4045,1),(4311,1),(5244,1),(5546,1)}
718:{3,5,7}:{(509,1),(513,1),(517,1),(811,1),(960,1),(996,1),(1323,1),(1431,1),(1635,1),(2123,1),(2241,1),(2436,1),(4060,1),(5244,1)}
719:{3,5}:{(520,1),(535,1),(1400,1),(1629,1),(2434,1),(4328,1),(4526,1)}
720:{3,5,6}:{(521,1),(534,1),(842,1),(967,1),(970,1),(1434,1),(1438,1),(4526,1),(4538,1),(5244,1),(5660,1)}
721:{3,5}:{(519,1),(536,1),(969,1),(1628,1)}
722:{3,4,7}:{(520,1),(538,1),(840,1),(847,1),(968,1),(984,1),(1330,1),(1410,1),(1606,1),(1629,1),(2216,1),(2310,1),(2368,1),(3225,1),(3283,1),(3442,1),(3443,1),(4120,1),(4328,1),(4532,1)}
723:{3,7}:{(519,1),(539,1),(1628,1),(4328,1)}
724:{3,7}:{(521,1),(537,1),(1599,1)}
725:{2,5,7}:{(507,1),(524,1),(527,1),(957,1),(973,1),(1600,1),(2280,1),(2283,1),(3040,1),(3244,1),(3263,1),(3269,1),(4339,1),(5495,1),(6346,1)}
726:{2,5,7}:{(509,1),(522,1),(525,1),(959,1),(974,1),(1599,1),(2283,1),(3040,1),(3269,1),(6346,1)}
727:{2,4,5,7}:{(508,1),(523,1),(526,1),(854,1),(958,1),(972,1),(980,1),(1459,1),(1465,1),(2258,1),(2264,1),(3249,1),(4337,1),(5166,1),(5213,1),(5433,1),(5495,1),(6346,1),(6350,1),(6568,1),(6569,1),(7317,1),(7322,1),(7327,1),(7383,1),(7584,1),(7610,1),(8197,1),(8241,1),(9245,1)}
728:{2,3,5}:{(513,1),(522,1),(529,1),(976,1),(1015,1),(1628,1)}
729:{2,3,5,6}:{(514,1),(523,1),(528,1),(870,1),(977,1),(980,1),(1016,1),(1475,1),(2279,1),(2374,1),(5178,1),(5235,1),(5449,1),(5504,1),(5510,1),(5660,1),(6566,1),(6607,1),(7361,1),(7427,1),(8197,1),(8237,1),(8793,1),(8807,1)}
730:{2,3,5}:{(515,1),(524,1),(530,1),(975,1),(1014,1),(1629,1),(2257,1),(3259,1)}
731:{2,3,4,6,7}:{(517,1),(525,1),(529,1),(860,1),(868,1),(875,1),(964,1),(974,1),(976,1),(979,1),(986,1),(1018,1),(1337,1),(1340,1),(1344,1),(1410,1),(1463,1),(1474,1),(1498,1),(1599,1),(1605,1),(1616,1),(1620,1),(1622,1),(1626,1),(1628,1),(1654,1),(2068,1),(2095,1),(2108,1),(2113,1),(2122,1),(2165,1),(2199,1),(2212,1),(2214,1),(2216,1),(2235,1),(2251,1),(2269,1),(2283,1),(2306,1),(2310,1),(2437,1),(2443,1),(2451,1),(2453,1),(2458,1),(2465,1),(2467,1),(2488,1),(2997,1),(3006,1),(3027,1),(3040,1),(3056,1),(3189,1),(3239,1),(3251,1),(3252,1),(3262,1),(3283,1),(3295,1),(3297,1),(3436,1),(3440,1),(3443,1),(3455,1),(3458,1),(3464,1),(4054,1),(4073,1),(4087,1),(4111,1),(4116,1),(4117,1),(4120,1),(4289,1),(4328,1),(4339,1),(4340,1),(4368,1),(4374,1),(4530,1),(4532,3),(4533,1),(4534,1),(4538,1),(5224,1),(5243,1),(5259,1),(5445,1),(5495,1),(5499,1),(5500,1),(5529,1),(5660,3),(5661,1),(6248,1),(6302,1),(6326,1),(6346,4),(6350,1),(6362,1),(6368,1),(6390,1),(6402,1),(6607,1),(7271,1),(7322,1),(7327,1),(7387,2),(7427,1),(7489,1),(8134,1),(8237,1),(8241,1),(8807,1),(9245,1),(9523,1)}
732:{2,3,4,6,7}:{(516,1),(526,1),(528,1),(963,1),(972,1),(977,1),(980,1),(985,1),(1017,1),(1604,1),(1621,1),(1623,1),(1627,1),(1653,1),(2211,1),(4532,1),(5445,1),(5462,1),(5464,1),(5499,1),(5500,1),(5510,1),(5512,1),(5518,1),(5529,1),(5660,1),(6326,1),(6346,1),(6350,1),(6390,1),(6402,1),(6607,1),(7271,1),(7322,1),(7327,1),(7387,1),(7427,1),(8237,1),(8241,1),(8807,1),(9245,1),(9523,1)}
733:{2,3,4,6,7}:{(518,1),(527,1),(530,1),(860,1),(868,1),(875,1),(965,1),(973,1),(975,1),(978,1),(984,1),(1019,1),(1337,1),(1340,1),(1344,1),(1410,1),(1463,1),(1466,1),(1474,1),(1478,1),(1483,1),(1498,1),(1600,1),(1606,1),(1617,1),(1624,1),(1629,1),(2068,1),(2095,1),(2113,1),(2199,1),(2209,1),(2212,1),(2214,1),(2216,1),(2235,1),(2251,1),(2269,1),(2273,1),(2282,1),(2283,1),(2288,1),(2290,1),(2306,1),(2310,1),(2313,1),(2438,1),(2445,1),(2449,1),(2466,1),(2997,1),(3006,1),(3040,1),(3043,1),(3184,1),(3189,1),(3190,1),(3191,1),(3213,1),(3225,1),(3239,1),(3251,1),(3252,1),(3254,1),(3258,1),(3259,1),(3262,1),(3263,1),(3283,1),(3295,1),(3297,1),(3442,1),(3465,1),(4053,1),(4085,1),(4116,1),(4117,1),(4284,1),(4289,1),(4305,1),(4323,1),(4328,1),(4331,1),(4339,2),(4340,1),(4347,1),(4349,1),(4367,1),(4368,1),(4374,1),(4511,1),(4532,3),(4533,1),(4536,1),(5166,1),(5178,1),(5224,1),(5445,1),(5476,1),(5489,1),(5495,4),(5499,1),(5500,1),(5529,1),(5535,1),(5660,3),(5661,1),(6248,1),(6346,3),(6349,1),(6350,1),(6362,1),(6368,1),(6390,1),(6570,1),(6576,1),(6607,1),(6612,1),(6638,1),(7271,1),(7322,1),(7387,1),(8134,1)}
734:{2,3,6}:{(520,1),(533,1),(555,1),(881,1),(981,1),(984,1),(1497,1),(1629,1),(2283,1),(2467,1),(2468,1),(3297,1),(4328,1),(4368,1),(5495,1),(6346,1)}
735:{2,3,6}:{(521,1),(532,1),(557,1),(963,1),(985,1),(1449,1),(6346,1)}
736:{2,3,6}:{(519,1),(531,1),(556,1),(881,1),(964,1),(982,1),(986,1),(1628,1),(2453,1),(2467,1)}
737:{1,4,5,7}:{(507,1),(535,1),(538,1),(540,1),(968,1),(987,1),(992,1),(997,1),(1010,1),(1606,1),(2205,1),(2336,1),(2434,1),(3075,1),(3323,1),(5546,1)}
738:{1,4,5,7}:{(509,1),(536,1),(539,1),(541,1),(966,1),(988,1),(990,1),(996,1),(1009,1),(1605,1),(1635,1),(1646,1),(2436,1),(2486,1),(2488,1),(3486,1)}
739:{1,4,5,7}:{(508,1),(534,1),(537,1),(542,1),(967,1),(989,1),(991,1),(998,1),(1508,1),(1599,1),(1636,1),(1647,1),(2134,1),(2200,1),(2319,1),(2437,1),(2480,1),(3099,1),(3204,1),(3432,1),(4530,1),(5679,1)}
740:{4,6}:{(546,1),(894,1),(991,1),(1412,1),(2488,1)}
741:{4,5}:{(548,1),(893,1),(896,1),(1011,1),(1635,1),(2488,1)}
742:{4}:{(547,1),(1013,1)}
743:{1,6}:{(511,1),(540,1),(999,1),(2199,1)}
744:{1,2,6,7}:{(510,1),(542,1),(900,1),(989,1),(1000,1),(1551,1),(2183,1),(3455,1),(3475,1)}
745:{1,6}:{(512,1),(541,1),(1001,1),(3486,1)}
746:{1,5,6}:{(514,1),(544,1),(907,1),(998,1),(1526,1),(1640,1)}
747:{1,5}:{(513,1),(545,1),(3486,1)}
748:{1,5}:{(515,1),(543,1),(1635,1)}
749:{1,4,6,7}:{(518,1),(538,1),(543,1),(559,1),(897,1),(912,1),(987,1),(997,1),(1364,1),(1510,1),(1513,1),(1517,1),(1525,1),(1528,1),(1532,1),(1533,1),(2212,1),(2330,1),(2331,1),(2338,1),(2347,1),(2362,1),(3308,1),(3315,1),(3323,1),(4018,1),(4195,1),(4532,1),(5143,1),(5660,1),(6438,1)}
750:{1,4,6,7}:{(517,1),(539,1),(545,1),(558,1),(897,1),(912,1),(988,1),(996,1),(1006,1),(1364,1),(1525,1),(1646,1),(2151,1),(2362,1),(3097,1),(3486,1),(4195,1)}
751:{1,4,6,7}:{(516,1),(537,1),(544,1),(560,1),(998,1),(1007,1),(1647,1)}
752:{2,3,5,7}:{(542,1),(546,1),(553,1),(917,1),(967,1),(991,1),(1000,1),(1561,1),(1627,1),(1636,1)}
753:{3,5,7}:{(540,1),(548,1),(554,1),(992,1),(999,1),(1371,1),(3091,1),(3283,1),(3285,1),(4159,1)}
754:{3,5,7}:{(541,1),(547,1),(552,1),(990,1),(1001,1),(1635,1)}
755:{1,3,6}:{(519,1),(545,1),(551,1),(921,1),(1004,1),(1628,1),(3486,1)}
756:{1,3,6}:{(521,1),(544,1),(549,1),(1434,1),(1632,1),(3097,1),(4415,1),(5660,1)}
757:{1,3,4,6}:{(520,1),(543,1),(550,1),(920,1),(921,1),(1003,1),(1021,1),(1375,1),(1517,1),(1533,1),(1543,1),(1546,1),(1614,1),(1629,1),(1638,1),(2082,1),(2141,1),(2198,1),(2252,1),(2331,1),(2362,1),(2370,1),(3113,1),(3346,1),(3484,1),(3486,2),(4027,1),(4229,1),(4328,1),(4408,1),(4430,1),(6248,1),(7300,1),(8169,1)}
758:{1,2,5}:{(524,1),(535,1),(555,1),(957,1),(981,1),(1011,1),(1400,1),(2263,1),(2283,1),(2375,1),(2434,1),(3244,1),(3269,1),(4526,1),(5495,1),(6346,1)}
759:{1,2,5}:{(522,1),(536,1),(556,1),(959,1),(982,1),(1013,1),(1400,1),(1642,1),(1665,1),(2283,1),(2436,1),(4526,1),(6346,1)}
760:{1,2,4,5,6}:{(523,1),(534,1),(557,1),(930,1),(958,1),(983,1),(1008,1),(1012,1),(1016,1),(1412,1),(1449,1),(1551,1),(1557,1),(1567,1),(1633,1),(1637,1),(1640,1),(1666,1),(2170,1),(2203,1),(2206,1),(2211,1),(2254,1),(2264,1),(2324,1),(2374,1),(2376,1),(2379,1),(2386,1),(2393,1),(2394,1),(2453,1),(2488,1),(2493,1),(3129,1),(3153,1),(3172,1),(3175,1),(3188,1),(3193,1),(3234,1),(3245,1),(3249,1),(3267,1),(3300,1),(3302,1),(3320,1),(3370,1),(3372,1),(3373,1),(3377,1),(3420,1),(3433,1),(3453,1),(3466,1),(3480,1),(3482,1),(3486,1),(4185,1),(4195,1),(4288,1),(4337,1),(4342,1),(4405,1),(4415,1),(4459,1),(4464,1),(4499,1),(4525,1),(4526,3),(4555,1),(4562,1),(5269,1),(5334,1),(5348,1),(5432,1),(5443,1),(5488,1),(5489,1),(5495,1),(5629,1),(5660,4),(5662,1),(5664,1),(6265,1),(6289,1),(6346,3),(6413,1),(6474,1),(6566,1),(6568,1),(6607,1),(6612,1),(6658,1),(6662,1),(6746,1),(6752,1),(7322,1),(7383,1),(7459,1),(7584,1),(7703,1),(8197,3)}
761:{1,2,4,7}:{(526,1),(537,1),(557,1),(561,1),(985,1),(994,1),(1567,1),(2393,1),(6346,1)}
762:{1,2,4,7}:{(527,1),(538,1),(555,1),(563,1),(928,1),(984,1),(1010,1),(1410,1),(1559,1),(1563,1),(1600,1),(1606,1),(2269,1),(2283,1),(2410,1),(2423,1),(2427,1),(3040,1),(3475,1),(4339,1),(4532,1),(5495,1),(6346,1)}
763:{1,2,4,7}:{(525,1),(539,1),(556,1),(562,1),(928,1),(986,1),(995,1),(1009,1),(1410,1),(1599,1),(1605,1),(2488,1),(3475,1),(3482,1),(3486,1),(4532,1)}
764:{1,2,6}:{(530,1),(543,1),(563,1),(943,1),(1014,1),(1654,1),(5390,1)}
765:{1,2,6}:{(528,1),(544,1),(561,1)}
766:{1,2,6}:{(529,1),(545,1),(562,1),(943,1),(1015,1),(1665,1),(3486,1)}
767:{1,2,3,7}:{(531,1),(551,1),(562,1),(986,1),(995,1),(1022,1),(3443,1),(3475,1),(3486,1),(4564,1)}
768:{1,2,3,7}:{(533,1),(550,1),(563,1),(984,1),(993,1),(1021,1),(1626,1),(1665,1),(2120,1),(2191,1),(2283,1),(2423,1),(2427,1),(2467,1),(3295,1),(3297,1),(3442,1),(4257,1),(5495,1),(5679,1),(6346,1),(6438,1)}
769:{1,2,3,5,7}:{(532,1),(549,1),(561,1),(954,1),(985,1),(994,1),(1020,1),(1489,1),(1549,1),(1591,1),(1611,1),(1640,1),(3145,1),(4120,1),(5244,1),(6346,1)}
770:{4,5,7}:{(567,1),(571,1),(593,1),(1024,1),(1037,1),(1080,1),(1090,1),(1772,1),(1776,1),(2731,1)}
771:{4,7}:{(566,1),(568,1),(1030,1)}
772:{4,5,7}:{(564,1),(569,1),(593,1),(1023,1),(1028,1),(1080,1),(1088,1),(1772,1),(1773,1),(1775,1),(2696,1)}
773:{4,7}:{(565,1),(570,1),(1026,1),(1036,1),(2524,1)}
774:{3,6}:{(566,1),(610,1),(1030,1),(1052,1)}
775:{3,4}:{(565,1),(605,1),(1033,1),(1040,1),(1054,1),(1105,1),(1673,1),(1933,1)}
776:{3,4,5}:{(567,1),(605,1),(609,1),(1032,1),(1041,1),(1051,1),(1093,1),(1095,1),(1103,1),(1105,1),(1672,1),(1782,1),(1790,1),(1792,1),(1795,1),(1933,1),(2608,1),(2721,1),(2837,1),(2850,1),(3621,1),(3848,1),(4860,1),(4968,1)}
777:{3,5,6}:{(564,1),(609,1),(610,1),(1028,1),(1053,1),(1093,1),(1095,1),(1099,1),(1100,1),(1786,1),(1787,1),(1790,1),(2689,1),(4617,1),(4754,1),(4968,1),(6106,1)}
778:{2,4,5,6}:{(564,1),(626,1),(628,1),(629,1),(1038,1),(1042,1),(1125,1),(1130,1),(1131,1),(1132,1),(1137,1),(1689,1),(1701,1),(1782,1),(1825,1),(1826,1),(1830,1),(1839,1),(2679,1),(2680,1),(2730,1),(2731,1),(2755,1),(4606,1),(4641,1),(4646,1),(4860,1),(4910,1),(4968,1),(5800,1),(6014,1),(6054,1),(6106,1),(7128,1)}
779:{2,5}:{(567,1),(628,1),(1135,1),(4968,1)}
780:{2}:{(565,1)}
781:{2,4,6}:{(566,1),(626,1),(629,1),(1035,1),(1039,1),(1137,1),(2744,1),(3787,1),(4606,1)}
782:{3,6}:{(570,1),(622,1),(1026,1),(1067,1),(2509,1)}
783:{2,6,7}:{(569,1),(601,1),(635,1),(1023,1),(1079,1),(1825,1),(3553,1)}
784:{2,6,7}:{(568,1),(601,1),(635,1),(1025,1),(2514,1),(2668,1)}
785:{3,6}:{(571,1),(622,1),(1024,1),(1070,1),(1079,1)}
786:{1,4}:{(565,1),(578,1),(1033,1),(1064,1),(1673,1)}
787:{1,4,6}:{(566,1),(576,1),(659,1),(1031,1),(1046,1),(1050,1),(1052,1),(3844,1)}
788:{1,4,5}:{(567,1),(577,1),(658,1),(1032,1),(1048,1),(1063,1),(1169,1),(1672,1),(1795,1),(3830,1),(4860,1)}
789:{1,4,5,6}:{(564,1),(579,1),(658,1),(659,1),(1034,1),(1045,1),(1047,1),(1053,1),(1169,1),(1174,1),(1175,1),(1176,1),(1714,1),(1723,1),(1739,1),(1795,1),(1886,1),(1889,1),(1891,1),(1912,1),(2525,1),(2572,1),(2606,1),(2699,1),(2701,1),(2816,1),(2833,1),(3519,1),(3609,1),(3706,1),(3830,1),(3844,1),(4703,1),(4754,1),(4757,1),(4860,1),(4968,1),(5745,1),(6106,1)}
790:{4,6}:{(572,1),(585,1),(1056,1),(1059,1),(1731,1)}
791:{1,3,4,6}:{(574,1),(586,1),(621,1),(674,1),(1048,1),(1058,1),(1061,1),(1075,1),(1119,1),(1197,1),(1721,1),(1725,1),(1732,1),(1741,1),(2605,1),(2721,1),(2828,1),(2912,1),(3576,1),(3762,1),(3871,1),(3919,1),(3972,1),(3973,1),(4622,1),(4729,1),(4860,1),(4899,1),(5001,1),(5003,1),(5024,1),(5894,1),(5906,1),(6030,1),(6051,1),(6761,1),(6980,1),(7055,1),(7124,1),(7720,1)}
792:{1,4,6}:{(573,1),(587,1),(621,1),(1049,1),(1057,1),(1062,1),(1076,1),(1733,1),(3919,1)}
793:{3,4,6}:{(575,1),(584,1),(674,1),(1047,1),(1055,1),(1060,1),(1092,1),(1734,1),(2609,1),(2946,1),(2947,1),(3611,1),(3743,1),(3972,1)}
794:{1,5,7}:{(571,1),(577,1),(582,1),(1070,1),(3919,1)}
795:{1,2,5,7}:{(568,1),(576,1),(580,1),(665,1),(1046,1),(1068,1),(1074,1),(1712,1),(2598,1),(2657,1),(3946,1)}
796:{1,5,7}:{(570,1),(578,1),(581,1),(1044,1),(1067,1),(1711,1),(2521,1)}
797:{1,2,5,7}:{(569,1),(579,1),(583,1),(665,1),(1045,1),(1069,1),(1073,1),(1188,1),(1764,1),(1772,1),(2659,1),(2758,1),(3559,1),(3596,1),(3800,1),(3923,1),(3946,1),(5095,1)}
798:{2,3,5,6}:{(579,1),(584,1),(676,1),(703,1),(1034,1),(1047,1),(1055,1),(1073,1),(1222,1),(1244,1),(1708,1),(1734,1),(1750,1),(1869,1),(1889,1),(2044,1),(2045,1),(2572,1),(2616,1),(2664,1),(2773,1),(2777,1),(2946,1),(2947,1),(3611,1),(3706,1),(3952,1),(4754,1),(4826,1),(4968,1),(6106,1)}
799:{2,3,5,6}:{(576,1),(585,1),(676,1),(703,1),(1031,1),(1050,1),(1056,1),(1074,1),(1222,1),(1244,1),(1679,1),(1707,1),(1731,1),(1749,1),(1807,1),(1889,1),(2044,1),(2045,1),(2539,1),(2575,1),(2619,1),(2759,1),(2773,1),(2946,1),(2947,1)}
800:{1,3,5}:{(577,1),(586,1),(646,1),(1032,1),(1048,1)}
801:{1,3,5}:{(578,1),(587,1),(646,1),(1033,1),(1049,1),(1057,1),(1680,1)}
802:{1,3,7}:{(581,1),(587,1),(651,1),(1062,1),(2543,1)}
803:{1,3,7}:{(582,1),(586,1),(651,1),(1113,1)}
804:{2,3,7}:{(580,1),(585,1),(682,1),(1059,1)}
805:{2,3,7}:{(583,1),(584,1),(682,1),(1060,1),(1113,1),(1813,1),(4629,1)}
806:{2,3,4,5}:{(575,1),(701,1),(708,1),(1055,1),(1078,1),(1084,1),(1115,1),(1140,1),(1165,1),(1183,1),(1225,1),(1682,1),(1709,1),(1750,1),(1793,1),(1805,1),(1824,1),(1847,1),(1861,1),(1869,1),(1878,1),(2014,1),(2016,1),(2544,1),(2547,1),(2548,1),(2551,1),(2682,1),(2693,1),(2721,1),(2760,1),(2947,1),(2950,1),(2951,1),(3576,1),(3583,1),(3586,1),(3706,1),(3726,1),(3743,1),(3765,1),(3807,1),(3821,1),(3976,1),(4578,1),(4598,1),(4617,1),(4627,1),(4633,1),(4678,1),(4821,1),(4830,1),(4849,1),(4957,1),(4968,1),(4984,1),(5706,1),(5714,1),(5745,1),(5786,1),(5850,1),(6061,1),(6062,1),(6108,1),(6832,1),(6848,1),(6903,1),(7124,1),(7841,1)}
807:{1,2,5}:{(573,1),(652,1),(1057,1),(1076,1),(1195,1),(1240,1),(3919,1),(4571,1),(4585,1)}
808:{2,4,5}:{(572,1),(708,1),(1056,1),(1077,1),(1084,1),(1140,1),(1183,1),(1225,1),(1749,1),(1824,1),(2016,1),(2544,1),(2760,1),(3787,1)}
809:{1,2,3,5}:{(574,1),(652,1),(701,1),(1058,1),(1075,1),(1115,1),(1165,1),(1195,1),(1240,1),(1869,1),(1960,1),(2615,1),(2721,1),(2838,1),(2918,1),(2950,1),(2951,1),(3576,1),(3583,1),(3586,1),(3765,1),(3919,1),(4577,1),(4584,1),(4617,1),(4678,1),(4957,1),(5024,1),(5067,1),(5810,1),(5899,1),(5962,1),(5999,1),(6180,1),(7124,1)}
810:{5,7}:{(588,1),(600,1),(1079,1)}
811:{5}:{(598,1)}
812:{4,5}:{(588,1),(597,1),(1083,1),(1093,1),(1125,1),(1776,1),(1782,1),(2731,1),(4860,1),(4968,1)}
813:{4,6}:{(589,1),(622,1),(1094,1),(1126,1),(2731,1)}
814:{4,6,7}:{(591,1),(601,1),(710,1),(712,1),(1096,1),(1128,1),(1773,1),(2526,1),(2668,1),(2696,1),(3713,1),(3714,1),(5745,1),(6829,1)}
815:{4,6}:{(592,1),(602,1),(1097,1),(1127,1),(1255,1),(5745,1)}
816:{4,5,7}:{(590,1),(596,1),(603,1),(1086,1),(1088,1),(1098,1),(1129,1),(1775,1),(1836,1),(2696,1),(4860,1)}
817:{4,6}:{(594,1),(635,1),(1081,1),(1099,1)}
818:{4,6}:{(595,1),(636,1),(1088,1),(1100,1)}
819:{4,5,7}:{(595,1),(599,1),(637,1),(1083,1),(1084,1),(1087,1),(1088,1),(1101,1),(1772,1),(1773,1),(1775,1),(1792,1),(2696,1)}
820:{4,7}:{(597,1),(645,1),(2731,1)}
821:{4}:{(646,1),(1135,1)}
822:{4,6,7}:{(593,1),(598,1),(638,1),(1024,1),(1080,1),(2528,1),(2679,1)}
823:{4,6}:{(599,1),(647,1),(1083,1)}
824:{4}:{(649,1)}
825:{6,7}:{(602,1),(603,1),(1079,1)}
826:{3,5,7}:{(589,1),(604,1),(605,1),(1027,1),(1094,1),(1189,1),(1667,1),(2521,1)}
827:{3,5,6}:{(590,1),(608,1),(611,1),(1083,1),(1093,1),(1098,1),(1100,1),(1190,1),(1774,1),(1776,1),(1786,1),(1808,1),(2533,1),(2669,1),(3514,1),(3703,1),(3706,1),(4869,1),(4968,1),(6106,1)}
828:{3,5,7}:{(591,1),(606,1),(607,1),(1030,1),(1080,1),(1191,1),(1772,1),(1887,1),(2670,1),(5095,1),(5754,1)}
829:{3,5,7}:{(592,1),(608,1),(614,1),(1083,1),(1097,1),(1192,1),(1260,1),(1262,1),(1772,1),(1775,1),(1808,1),(2669,1),(5095,1)}
830:{3,4,7}:{(593,1),(604,1),(609,1),(1028,1),(1113,1),(1146,1),(1193,1),(2696,1),(3881,1),(4741,1),(4983,1)}
831:{3,5,7}:{(594,1),(610,1),(613,1),(1030,1),(1095,1),(1099,1),(1194,1),(4581,1)}
832:{3,5}:{(595,1),(612,1),(1100,1),(1195,1)}
833:{3,4,6,7}:{(596,1),(611,1),(615,1),(1086,1),(1091,1),(1098,1),(1102,1),(1116,1),(1149,1),(1196,1),(1786,1),(1794,1),(1810,1),(1836,1),(2679,1),(2684,1),(2696,1),(2786,1),(3517,1),(3762,1),(3881,1),(4860,1),(4983,1),(5754,1),(6106,1)}
834:{3,4,6}:{(597,1),(612,1),(616,1),(1093,1),(1100,1),(1102,1),(1103,1),(1150,1),(1197,1),(1782,1),(1786,1),(2679,1),(2721,1),(3762,1),(4860,1)}
835:{3,4,6}:{(598,1),(613,1),(639,1),(1095,1),(1099,1),(1105,1),(1121,1),(1198,1),(1795,1),(1801,1),(1933,1),(2848,1),(2850,1),(3639,1)}
836:{3,4,7}:{(599,1),(612,1),(648,1),(1101,1),(1106,1),(1107,1),(1199,1),(2696,1),(3881,1),(4983,1)}
837:{3,5}:{(588,1),(621,1),(1057,1),(1089,1),(1776,1)}
838:{3,7}:{(616,1),(653,1)}
839:{3,5}:{(616,1),(654,1),(1033,1),(1103,1),(1933,1),(2721,1)}
840:{3,7}:{(617,1),(655,1)}
841:{3,5,6}:{(617,1),(656,1),(719,1),(721,1),(1031,1),(1111,1),(1117,1),(1263,1),(1265,1),(1679,1),(1787,1),(1880,1),(2008,1),(2539,1),(2717,1),(2928,2),(2929,1),(2946,1),(2947,1),(3583,1),(3754,1),(4687,1),(4695,1)}
842:{3,5}:{(620,1),(657,1),(1881,1),(2669,1),(2947,1),(3583,1)}
843:{3,6}:{(618,1),(658,1),(1032,1),(1113,1),(1933,1),(2721,1),(3576,1)}
844:{3,5}:{(618,1),(659,1),(1031,1),(1120,1),(2947,1),(3583,1)}
845:{3,4,6}:{(617,1),(619,1),(660,1),(1092,1),(1110,1),(1116,1),(1164,1),(1254,1),(1255,1),(1783,1),(1787,1),(1995,1),(2519,1),(2699,1),(2928,1),(3972,1),(4860,1),(5745,1),(6013,1)}
846:{3,4}:{(618,1),(661,1),(1115,1),(1165,1),(1881,1),(2721,1),(2947,1),(3576,1),(3583,1),(5745,1),(7124,1)}
847:{3,7}:{(618,1),(662,1),(1121,1),(1933,1)}
848:{3,4,7}:{(620,1),(663,1),(723,1),(724,1),(1112,1),(1167,1),(1785,1),(1813,1),(1881,1),(2011,1),(2786,1),(2947,1),(3757,1),(5102,1),(5745,1)}
849:{3,4,7}:{(600,1),(621,1),(651,1),(1062,1),(1090,1),(1108,1),(1168,1),(1781,1),(2543,1)}
850:{2,5,6}:{(588,1),(634,1),(1079,1),(1085,1),(1123,1),(1125,1),(1825,1),(2516,1),(2550,1),(2755,1),(3513,1),(3549,1),(3554,1)}
851:{2,5,7}:{(589,1),(623,1),(624,1),(1036,1),(1080,1),(1126,1),(2501,1),(4576,1)}
852:{2,5,6}:{(590,1),(627,1),(630,1),(1125,1),(1127,1),(1129,1),(1132,1),(1825,1),(2755,1),(2760,1),(3562,1),(3799,1),(4910,1)}
853:{2,5,7}:{(591,1),(625,1),(626,1),(1035,1),(1128,1),(2758,1),(2942,1)}
854:{2,5,7}:{(592,1),(627,1),(633,1),(1124,1),(1127,1),(1823,1),(2016,1),(2760,1),(2942,1),(3800,1)}
855:{2,4,7}:{(593,1),(625,1),(628,1),(1037,1),(1146,1),(2731,1),(2758,1),(4983,1)}
856:{2,4,5,7}:{(594,1),(629,1),(632,1),(725,1),(726,1),(1035,1),(1084,1),(1130,1),(1131,1),(1147,1),(1272,1),(1274,1),(1690,1),(1701,1),(1772,1),(1773,1),(2014,1),(2016,1),(2506,1),(2523,1),(2734,1),(2744,1),(2940,1),(2942,1),(3546,1),(3778,2),(3779,1),(3786,1),(3787,1),(4646,1),(4910,1),(4914,1),(4925,1),(4926,1),(5095,1),(5798,1),(6014,1),(6054,1),(6055,1),(6061,1),(7131,1),(7836,1),(7841,1)}
857:{2,4,5}:{(595,1),(627,1),(631,1),(1125,1),(1132,1),(1138,1),(1148,1),(1782,1),(1830,1),(2731,1),(4910,1),(6014,1)}
858:{2,7}:{(596,1),(630,1)}
859:{2,4,6}:{(597,1),(630,1),(631,1),(1125,1),(1134,1),(1135,1),(1150,1),(1782,1),(1825,1),(1833,1),(1859,1),(2679,1),(2731,1),(2755,1)}
860:{2,4,6}:{(598,1),(632,1),(640,1),(1092,1),(1130,1),(1137,1),(1999,1),(2000,1),(2528,1),(2679,1),(3539,1),(3972,1),(4863,1)}
861:{2,4,7}:{(599,1),(631,1),(643,1),(1138,1),(1139,1),(1140,1),(1782,1),(1785,1),(1836,1),(1859,1),(2683,1),(2687,1),(2731,1),(3507,1),(3848,1),(4983,1),(6014,1)}
862:{2,4,7}:{(600,1),(634,1),(642,1),(1088,1),(1123,1),(1168,1),(1781,1),(4610,1),(4664,1)}
863:{2,4}:{(650,1),(714,1),(715,1),(1124,1)}
864:{2,6}:{(602,1),(637,1),(1079,1),(1087,1),(1255,1),(2516,1)}
865:{2,5,7}:{(603,1),(636,1),(642,1),(1088,1),(1141,1),(1775,1)}
866:{2,3,6,7}:{(604,1),(623,1),(639,1),(1094,1),(1104,1),(1142,1),(1146,1),(1232,1),(1691,1),(2502,1),(2758,1),(3962,1)}
867:{2,3,5}:{(605,1),(624,1),(639,1),(1040,1),(1095,1),(1105,1),(1233,1),(1702,1),(1933,1)}
868:{2,3,6,7}:{(606,1),(625,1),(640,1),(1128,1),(1136,1),(1144,1),(1146,1),(1159,1),(1234,1),(1873,1),(1946,1),(2513,1),(2758,1),(2942,1),(3991,1)}
869:{2,3,5,6}:{(607,1),(626,1),(640,1),(728,1),(730,1),(1039,1),(1130,1),(1137,1),(1144,1),(1235,1),(1689,1),(1700,1),(1868,1),(1880,1),(2044,1),(2045,1),(2513,1),(2773,1),(2946,1),(2947,1),(4683,1)}
870:{2,3,5}:{(608,1),(627,1),(644,1),(1138,1),(1236,1),(1881,1),(2045,1),(2947,1)}
871:{2,3,6}:{(609,1),(628,1),(641,1),(1041,1),(1146,1),(1237,1),(2755,1),(4678,1),(4826,1)}
872:{2,3,5}:{(610,1),(629,1),(641,1),(1039,1),(1152,1),(1238,1),(1700,1),(2947,1),(4617,1),(4678,1)}
873:{2,3,6}:{(611,1),(630,1),(643,1),(1127,1),(1139,1),(1239,1),(1825,1),(1833,1),(2726,1),(2755,1),(3553,1),(3799,1),(6106,1)}
874:{2,3}:{(612,1),(631,1),(1240,1)}
875:{2,3,4,7}:{(613,1),(632,1),(641,1),(1107,1),(1146,1),(1147,1),(1151,1),(1152,1),(1166,1),(1241,1),(1696,1),(1803,1),(1804,1),(1861,1),(1877,1),(2506,1),(2947,1),(3495,1),(4592,1),(4678,1),(4925,1),(4926,1),(4983,1),(5819,1),(5853,1),(5855,1),(6014,1),(6902,1),(7124,1)}
876:{2,3,4,6,7}:{(614,1),(633,1),(644,1),(1127,1),(1138,1),(1139,1),(1145,1),(1149,1),(1153,1),(1154,1),(1167,1),(1242,1),(1785,1),(1823,1),(1831,1),(1835,1),(1836,1),(1840,1),(1849,1),(1850,1),(1855,1),(1865,1),(1881,1),(1882,1),(2676,1),(2679,1),(2683,1),(2684,1),(2707,1),(2708,1),(2725,1),(2726,1),(2750,1),(2763,1),(2770,1),(2780,1),(2785,1),(2786,1),(2942,1),(2947,1),(3724,1),(3731,1),(3757,1),(3762,1),(3785,1),(3800,1),(3807,1),(3825,1),(3991,1),(4695,1),(4860,1),(4862,1),(4937,1),(4939,1),(4983,1),(5102,1),(5745,1),(5754,1),(6014,1),(6106,1),(7102,1),(7124,1),(7131,1)}
877:{3,5,7}:{(646,1),(651,1),(685,1),(1090,1),(1155,1),(1776,1)}
878:{2,3,6,7}:{(615,1),(645,1),(647,1),(686,1),(1079,1),(1091,1),(1141,1),(1155,1),(1159,1),(1786,1),(1794,1),(1825,1),(1833,1),(6106,1)}
879:{2,3,6}:{(616,1),(648,1),(687,1),(1106,1),(1121,1),(1158,1),(1933,1),(2516,1),(2721,1),(2755,1),(2916,1),(3762,1)}
880:{2,3,6}:{(617,1),(649,1),(688,1),(1092,1),(1159,1),(1255,1),(1256,1),(1787,1)}
881:{2,3}:{(618,1),(689,1),(1107,1)}
882:{2,3,5}:{(619,1),(650,1),(690,1),(1124,1),(1140,1),(1164,1),(1165,1),(1283,1),(1709,1),(1824,1),(2016,1),(2551,1),(2760,1),(3807,1),(6061,1),(6903,1)}
883:{2,3,6}:{(620,1),(650,1),(691,1),(1161,1),(1165,1),(1167,1),(1283,1),(1881,1),(2792,1),(2947,1),(3583,1),(3807,1),(3998,1),(4695,1)}
884:{2,3,6}:{(621,1),(634,1),(652,1),(1076,1),(1100,1),(1135,1),(1168,1),(1710,1),(1833,1),(4626,1)}
885:{1,4,5,7}:{(589,1),(653,1),(654,1),(685,1),(1044,1),(1082,1),(1090,1),(1109,1),(1170,1),(1189,1),(1214,1),(1711,1),(1776,1),(1802,1),(1900,1),(1910,1),(1911,1),(2521,1),(2524,1),(2587,1),(2697,1),(2731,1),(2802,1),(2812,1),(3773,1),(3830,1),(3841,1),(3919,1),(4860,1),(4969,1),(4976,1),(5055,1)}
886:{1,4,5,6}:{(590,1),(657,1),(660,1),(664,1),(1110,1),(1172,1),(1173,1),(1174,1),(1176,1),(1179,1),(1190,1),(1215,1),(1254,1),(1255,1),(1771,1),(1783,1),(1886,1),(1891,1),(1952,1),(1995,1),(2035,1),(2037,1),(2519,1),(2669,1),(2672,1),(2699,1),(2800,1),(2810,1),(2816,1),(2919,1),(3514,1),(3703,1),(3706,1),(3830,1),(3840,1),(3854,1),(3970,1),(4606,1),(4757,1),(4860,1),(4964,1),(4968,1),(5119,1),(5745,1),(5894,1),(6013,1),(6106,1)}
887:{1,4,5,7}:{(591,1),(655,1),(656,1),(665,1),(1046,1),(1111,1),(1171,1),(1178,1),(1191,1),(1216,1),(1712,1),(1717,1),(1772,1),(1773,1),(1784,1),(1887,1),(1926,1),(1953,1),(2526,1),(2598,1),(2670,1),(2675,1),(2794,1),(2808,1),(2861,1),(2958,2),(2960,1),(3597,1),(3658,1),(3713,1),(3946,1),(4757,1),(4764,1),(5095,2),(5745,1),(5917,1),(6829,1)}
888:{1,4,5,7}:{(592,1),(657,1),(663,1),(666,1),(1112,1),(1172,1),(1180,1),(1192,1),(1217,1),(1286,1),(1717,1),(1772,1),(1785,1),(1996,1),(2030,1),(2598,1),(2669,1),(2673,1),(2958,1),(3658,1),(3855,1),(4757,1),(5095,3),(5745,1)}
889:{1,4,7}:{(593,1),(658,1),(692,1),(1113,1)}
890:{1,4,5,7}:{(594,1),(659,1),(662,1),(693,1),(1046,1),(1114,1),(1169,1),(1175,1),(1182,1),(1194,1),(1712,1),(1717,1),(1795,1),(1889,1),(1912,1),(1930,1),(2526,1),(2585,1),(2598,1),(2701,1),(2833,1),(3658,1),(3844,1),(4581,1),(4757,1),(5745,1)}
891:{1,4,5}:{(595,1),(661,1),(694,1),(1084,1),(1115,1),(1176,1),(1183,1),(1195,1),(1902,1),(3844,1),(4757,1),(5745,1)}
892:{1,4,7}:{(596,1),(660,1),(675,1),(1116,1),(1178,1),(1221,1),(2808,1),(4860,1)}
893:{4,6}:{(676,1),(741,1),(742,1),(1178,1),(1222,1)}
894:{4,5}:{(677,1),(740,1),(742,1),(1223,1),(2669,1)}
895:{1,4,6}:{(597,1),(661,1),(702,1),(1047,1),(1048,1),(1092,1),(1119,1),(1174,1),(1181,1),(1672,1),(1783,1),(1795,1),(1914,1),(2519,1),(2525,1),(2528,1),(2683,1),(2699,1),(2807,1),(3507,1),(3722,1),(3844,1),(3871,1),(3972,1),(4606,1),(4729,1),(4860,3),(5744,1),(5745,1),(5894,1),(6013,1),(6980,1)}
896:{4}:{(703,1)}
897:{1,4,6}:{(598,1),(662,1),(695,1),(1121,1),(1169,1),(1795,1)}
898:{1,4,7}:{(599,1),(661,1),(704,1),(1122,1),(1182,1),(1185,1),(1785,1),(1795,1),(1914,1),(2683,1),(2687,1),(3844,1),(3848,1),(4860,1),(4983,1),(5745,1)}
899:{1,6,7}:{(601,1),(665,1),(743,1),(745,1),(1200,1),(1731,1),(2668,1),(3596,1),(3946,1)}
900:{1,6}:{(602,1),(666,1),(1201,1),(1731,1)}
901:{1,5,7}:{(603,1),(664,1),(672,1),(1187,1),(1202,1),(3596,1),(3946,1)}
902:{1,5}:{(588,1),(674,1),(1055,1)}
903:{1,7}:{(604,1),(668,1)}
904:{1,5}:{(605,1),(668,1),(1054,1)}
905:{1,4,6,7}:{(606,1),(655,1),(667,1),(669,1),(1191,1),(1193,1),(1205,1),(1234,1),(1728,1),(1926,1),(1953,1),(2028,1),(2808,1),(2958,1),(3946,1)}
906:{1,5,6}:{(607,1),(669,1),(747,1),(748,1),(1052,1),(1169,1),(1191,1),(1884,1),(2833,1),(3830,1),(4575,1),(4757,1),(5894,1)}
907:{1,5}:{(608,1),(673,1)}
908:{1,4,6}:{(609,1),(668,1),(670,1),(1051,1),(1053,1),(1193,1),(1208,1),(1237,1),(3919,1),(4729,1)}
909:{1,5}:{(610,1),(670,1),(1052,1)}
910:{1,4,6}:{(611,1),(671,1),(678,1),(1190,1),(1239,1),(1287,1),(1289,1),(1907,1),(3918,1),(3919,1),(5894,1),(6106,1)}
911:{1,4}:{(612,1),(679,1),(1195,1),(1240,1),(3919,1)}
912:{1,4,7}:{(613,1),(670,1),(696,1),(1194,1),(1198,1),(1212,1)}
913:{1,4,6,7}:{(614,1),(663,1),(673,1),(705,1),(1172,1),(1185,1),(1192,1),(1199,1),(1287,1),(1288,1),(1294,1),(1295,1),(1722,1),(1907,1),(1908,1),(2000,1),(2028,1),(2684,1),(2808,1),(2923,1),(2958,1),(4983,1),(6106,1)}
914:{1,4,7}:{(600,1),(674,1),(706,1),(1060,1),(1188,1),(3596,1),(3946,1)}
915:{3,5,7}:{(665,1),(676,1),(682,1),(1178,1),(1200,1),(1887,1)}
916:{3,5,6}:{(664,1),(677,1),(683,1),(1055,1),(1056,1),(1179,1),(1201,1),(1202,1),(1679,1),(1731,1),(1734,1),(1771,1),(2539,1),(2946,1),(2947,1),(3611,1)}
917:{3,5,7}:{(666,1),(677,1),(684,1),(1180,1),(1201,1),(2947,1)}
918:{1,3,6,7}:{(615,1),(667,1),(675,1),(678,1),(1187,1),(1196,1),(1200,1),(1203,1),(1810,1),(2028,1),(2786,1),(3596,1),(3762,1),(3881,1),(3946,1),(4990,1)}
919:{1,3,6}:{(616,1),(668,1),(679,1),(1197,1),(1203,1),(1204,1),(2721,1),(3762,1),(3919,1)}
920:{1,3,6}:{(617,1),(669,1),(680,1),(1121,1),(1263,1),(1265,1),(1677,1),(1880,1),(2928,1),(3594,1),(3754,1),(3762,1),(4695,1),(6104,1)}
921:{1,3}:{(618,1),(670,1)}
922:{1,3,4,5,7}:{(619,1),(671,1),(680,1),(681,1),(1112,1),(1116,1),(1122,1),(1186,1),(1207,1),(1210,1),(1211,1),(1251,1),(1267,1),(1268,1),(1285,1),(1286,1),(1299,1),(1301,1),(1684,1),(1742,1),(1772,1),(1785,1),(1795,1),(1808,1),(1809,1),(1811,1),(1881,1),(1884,1),(1899,1),(1902,1),(1921,1),(1922,1),(1925,1),(1926,1),(1928,1),(1929,1),(1930,1),(1996,1),(2008,1),(2011,1),(2012,1),(2030,1),(2523,1),(2533,1),(2582,1),(2596,1),(2598,1),(2669,1),(2673,1),(2677,1),(2683,1),(2687,1),(2700,1),(2706,1),(2717,1),(2719,1),(2721,1),(2723,1),(2724,1),(2725,1),(2776,1),(2786,1),(2797,1),(2799,1),(2806,1),(2807,1),(2808,1),(2813,1),(2819,1),(2820,1),(2825,1),(2830,1),(2833,1),(2837,1),(2838,1),(2852,1),(2914,1),(2926,1),(2932,1),(2947,1),(2958,1),(3507,1),(3576,1),(3583,1),(3595,1),(3615,1),(3618,1),(3619,1),(3620,1),(3636,1),(3658,1),(3706,1),(3713,1),(3726,1),(3745,1),(3751,1),(3753,1),(3757,1),(3759,1),(3765,1),(3766,1),(3768,1),(3842,1),(3844,1),(3848,1),(3849,1),(3850,1),(3855,2),(3861,1),(3866,1),(3871,2),(3879,1),(3881,1),(3883,1),(3946,1),(3948,1),(3950,1),(3976,1),(4006,1),(4570,1),(4575,1),(4617,1),(4629,1),(4633,1),(4693,1),(4712,1),(4714,1),(4729,1),(4730,1),(4739,1),(4740,1),(4757,1),(4860,4),(4862,1),(4869,1),(4878,1),(4888,1),(4894,1),(4900,1),(4901,1),(4904,1),(4965,1),(4968,1),(4972,1),(4982,1),(4983,1),(4985,1),(4992,1),(4996,1),(4998,1),(5005,1),(5024,1),(5095,3),(5102,1),(5707,1),(5744,1),(5745,6),(5754,1),(5761,1),(5763,1),(5779,1),(5784,1),(5860,1),(5861,1),(5863,1),(5865,1),(5888,1),(5913,1),(6014,1),(6019,1),(6047,1),(6049,1),(6817,1),(6825,2),(6829,2),(6832,1),(6860,1),(6978,1),(6980,1),(6984,1),(6989,1),(7124,5),(7249,1),(7716,1),(7720,2),(7766,2),(7773,2),(7902,1),(7976,1),(8040,1),(8041,1),(8517,1),(9072,1),(9445,1)}
923:{1,3,4,6}:{(620,1),(673,1),(681,1),(755,1),(756,1),(1207,1),(1211,1),(1252,1),(1294,1),(1295,1),(1300,1),(1301,1),(1740,1),(1881,1),(1899,1),(1924,1),(2011,1),(2828,1),(2912,1),(2928,1),(3583,1),(3871,1),(3972,1),(4006,1),(4695,1),(5024,1),(5119,1),(5745,1)}
924:{3,4,7}:{(672,1),(682,1),(683,1),(1059,1),(1178,1),(1202,1),(1253,1),(1773,1),(1813,1),(1896,1),(5102,1)}
925:{1,6}:{(622,1),(685,1),(1079,1),(1155,1),(3919,1)}
926:{1,2,4,6,7}:{(623,1),(653,1),(686,1),(687,1),(1091,1),(1134,1),(1157,1),(1170,1),(1184,1),(1214,1),(1218,1),(1232,1),(1743,1),(1802,1),(1825,1),(1833,1),(1911,1),(1913,1),(1969,1),(2528,1),(2577,1),(2618,1),(2621,1),(2632,1),(2679,1),(2731,1),(2737,1),(2758,1),(2765,1),(2802,1),(2876,1),(2887,1),(2892,1),(3541,1),(3841,1),(3908,1),(3919,1),(3921,1),(3923,1),(3931,1),(4664,1),(4976,1),(4981,1),(4983,1),(6106,1)}
927:{1,2,5}:{(624,1),(654,1),(687,1),(1064,1),(1083,1),(1125,1),(1135,1),(1158,1),(1169,1),(1901,1),(1970,1),(3830,1),(4968,1)}
928:{1,2,7}:{(625,1),(655,1),(688,1),(1159,1),(2808,1)}
929:{1,2,5,6}:{(626,1),(656,1),(688,1),(758,1),(759,1),(1065,1),(1160,1),(1216,1),(1222,1),(1255,1),(1256,1),(1302,1),(1304,1),(1749,1),(1771,1),(1985,1),(2035,1),(2044,1),(2045,1),(2583,1),(2619,1),(2655,1),(2733,1),(2759,1),(2866,1),(2967,2),(2977,1),(3594,1),(3689,1),(3777,1),(3900,1),(4757,1),(5119,1),(6887,1)}
930:{1,2,5}:{(627,1),(657,1),(691,1),(1124,1),(1161,1),(1223,1),(1749,1),(1824,1),(2016,1),(2045,1),(2669,1),(2760,1),(2937,1),(4757,1)}
931:{1,2,4,6}:{(628,1),(658,1),(688,1),(689,1),(1063,1),(1092,1),(1162,1),(1218,1),(1237,1),(1672,1),(1743,1),(1760,1),(1915,1),(2528,1)}
932:{1,2,4,5}:{(629,1),(659,1),(689,1),(758,1),(759,1),(1065,1),(1084,1),(1163,1),(1225,1),(1238,1),(1257,1),(1259,1),(1308,1),(1310,1),(1749,1),(1778,1),(1902,1),(1916,1),(1954,1),(1988,1),(2014,1),(2016,1),(2030,1),(2031,1),(2050,1),(2051,1),(2544,1),(2583,1),(2655,1),(2744,1),(2863,1),(2866,1),(2884,1),(3654,1),(3700,1),(3726,1),(3787,1),(3844,1),(3948,1),(4757,1),(4774,1),(5071,1),(5707,1),(5745,1)}
933:{1,2,6}:{(630,1),(660,1),(690,1),(1164,1),(1221,1),(1222,1)}
934:{1,2,4}:{(631,1),(661,1),(690,1),(1140,1),(1165,1),(1225,1),(1240,1),(1988,1)}
935:{1,2,4,7}:{(632,1),(662,1),(689,1),(697,1),(1166,1),(1186,1),(1226,1),(1308,1),(1310,1),(1760,1),(1953,1),(2050,1),(2051,1),(2802,1),(3658,1),(3844,1),(5707,1)}
936:{1,2,4,7}:{(633,1),(663,1),(691,1),(698,1),(1167,1),(1217,1),(1221,1),(1306,1),(1307,1),(1754,1),(1785,1),(1823,1),(1840,1),(2019,1),(2051,1),(2057,1),(2058,1),(2657,1),(2942,1),(3658,1),(3800,1)}
937:{1,2,6}:{(635,1),(693,1),(743,1),(745,1),(1175,1),(1244,1),(1731,1),(2619,1),(2759,1)}
938:{1,2,5,6}:{(636,1),(664,1),(694,1),(699,1),(1176,1),(1229,1),(1230,1),(1245,1),(1255,1),(1256,1),(1771,1),(1886,1),(2035,1),(2606,1),(2655,1),(2910,1),(2967,1),(3689,1),(4757,1),(5119,1)}
939:{1,2,5,7}:{(637,1),(666,1),(694,1),(700,1),(1177,1),(1188,1),(1229,1),(1246,1),(1286,1),(1772,1),(2580,1),(2598,1),(2760,1),(2883,1),(3596,1),(3800,1),(3855,1),(3923,1),(5095,1)}
940:{1,2,6,7}:{(638,1),(667,1),(692,1),(695,1),(1070,1),(1184,1),(1728,1),(1743,1),(2758,1),(2876,1)}
941:{1,2,6}:{(639,1),(668,1),(696,1),(1198,1),(1233,1),(2888,1)}
942:{1,2,6}:{(640,1),(669,1),(697,1)}
943:{1,2}:{(641,1),(670,1)}
944:{1,2,5,7}:{(643,1),(671,1),(690,1),(698,1),(1221,1),(1227,1),(1236,1),(1239,1),(1240,1),(1305,1),(1307,1),(1752,1),(1937,1),(1960,1),(1969,1),(1970,1),(2045,1),(2615,1),(2883,1),(3919,1),(3923,1),(5070,1),(6180,1)}
945:{1,2,7}:{(642,1),(672,1),(699,1),(1253,1),(2808,1)}
946:{1,2,6}:{(644,1),(673,1),(698,1),(1236,1),(1240,1)}
947:{1,2,4,6}:{(634,1),(674,1),(699,1),(701,1),(1075,1),(1078,1),(1176,1),(1231,1),(1243,1),(1725,1),(2647,1),(2815,1),(2828,1),(2880,1),(2910,1),(2967,1),(3840,1),(3972,1),(4606,1),(4651,1),(4721,1),(4786,1),(4824,1),(5119,1),(5894,1),(6062,1),(7012,1),(7841,1)}
948:{1,2,3,5,7}:{(645,1),(675,1),(692,1),(702,1),(706,1),(1071,1),(1073,1),(1113,1),(1159,1),(1181,1),(1188,1),(1203,1),(1221,1),(1230,1),(1247,1),(1705,1),(1736,1),(1752,1),(1772,1),(1806,1),(1811,1),(1813,1),(1867,1),(1876,1),(1890,1),(1900,1),(1908,1),(1942,1),(1964,1),(1969,1),(1981,1),(2615,1),(2659,1),(2691,1),(2714,1),(2758,1),(2774,1),(2786,1),(2808,1),(2811,1),(2813,1),(2902,1),(3555,1),(3576,1),(3596,1),(3681,1),(3800,1),(3855,1),(3881,1),(3915,1),(3919,1),(3923,1),(3946,1),(3950,1),(3991,1),(4629,1),(4656,1),(4900,1),(5070,1),(5095,1),(5754,1),(6036,1),(6180,1),(7124,1),(7131,1)}
949:{2,3,5,7}:{(693,1),(703,1),(707,1),(753,1),(754,1),(1114,1),(1182,1),(1244,1),(1305,1),(1307,1),(1877,1),(1889,1),(2045,1),(2664,1),(2773,1),(2947,1),(3488,1),(4581,1)}
950:{2,3,5}:{(677,1),(694,1),(709,1),(1055,1),(1056,1),(1115,1),(1183,1),(1223,1),(1262,1),(1679,1),(1749,1),(1750,1),(1808,1),(1824,1),(1889,1),(2016,1),(2045,1),(2669,1),(2693,1),(2760,1),(2937,1),(2947,1),(3706,1),(3976,1),(4968,1)}
951:{1,2,3,6}:{(647,1),(678,1),(695,1),(704,1),(1121,1),(1185,1),(1229,1),(1239,1),(1244,1),(1812,1),(1865,1),(1882,1),(1907,1),(1923,1),(2777,1),(2876,1),(2909,1),(3689,1),(3762,1),(3952,1),(4695,1),(6106,1)}
952:{1,2,3,7}:{(648,1),(679,1),(696,1),(1199,1),(1203,1),(1212,1),(1240,1),(1248,1),(1250,1),(1969,1),(3488,1),(3596,1),(3881,1),(3919,1),(3923,1)}
953:{1,2,3,5,7}:{(649,1),(680,1),(697,1),(767,1),(768,1),(1159,1),(1166,1),(1186,1),(1249,1),(1250,1),(1278,1),(1279,1),(1284,1),(1286,1),(1314,1),(1316,1),(1705,1),(1768,1),(1772,1),(1809,1),(1868,1),(1884,1),(1902,1),(1981,1),(2808,1),(2813,1),(2950,1),(3818,1),(3991,1),(5095,1)}
954:{1,2,3,7}:{(650,1),(681,1),(698,1),(1167,1),(1228,1),(1252,1),(2058,1),(2657,1),(3757,1),(3991,1)}
955:{2,3,6}:{(683,1),(699,1),(708,1),(1077,1),(1222,1),(1253,1),(1255,1),(1256,1),(1787,1)}
956:{2,3,4,7}:{(684,1),(700,1),(707,1),(709,1),(1059,1),(1060,1),(1122,1),(1167,1),(1182,1),(1246,1),(1253,1),(1269,1),(1306,1),(1307,1),(1686,1),(1753,1),(1754,1),(1785,1),(1813,1),(1840,1),(1876,1),(1877,1),(1896,1),(2019,1),(2609,1),(2687,1),(2708,1),(2784,1),(2916,1),(2942,1),(2947,1),(3699,1),(3800,1),(3848,1),(3991,1),(4983,1),(5102,1)}
957:{2,5}:{(713,1),(1084,1),(1256,1)}
958:{4,5}:{(714,1),(1124,1),(1254,1),(1260,1),(5745,1)}
959:{5}:{(715,1),(1255,1)}
960:{3,5,6}:{(712,1),(718,1),(1081,1),(1099,1),(1263,1),(1291,1),(2539,1),(2575,1)}
961:{3,5,6}:{(710,1),(717,1),(1081,1),(1099,1),(1265,1),(1292,1),(1771,1),(1774,1),(1786,1),(1787,1),(2689,1),(3514,1),(6106,1)}
962:{3,5,6,7}:{(711,1),(716,1),(1097,1),(1264,1),(1290,1),(1775,1),(1794,1),(2002,1),(2668,1),(2714,1)}
963:{3,4,6}:{(714,1),(735,1),(1254,1),(1260,1),(1270,1),(1294,1),(2006,1),(4695,1),(5745,1)}
964:{3,4,6}:{(715,1),(736,1),(1092,1),(1107,1),(1255,1),(1259,1),(1262,1),(1269,1),(1295,1),(1787,1),(1995,1),(2000,1),(2005,1),(2011,1),(2928,1),(3972,1)}
965:{2,3,4,6}:{(713,1),(734,1),(1092,1),(1107,1),(1256,1),(1257,1),(1261,1),(1271,1),(1293,1),(1671,1),(1787,1),(1822,1),(1841,1),(1861,1),(1993,1),(1999,1),(2007,1),(2012,1),(2744,1),(2754,1),(2791,1),(2929,1),(3726,1),(3777,1),(3972,2),(3973,1),(4863,1),(4924,1)}
966:{3,5,7}:{(721,1),(723,1),(738,1),(1263,1),(1268,1),(2008,1),(2947,1)}
967:{3,5,7}:{(720,1),(724,1),(739,1),(1264,1),(1266,1),(1813,1),(5095,1),(5102,1)}
968:{3,5,7}:{(719,1),(722,1),(737,1),(1265,1),(1772,1),(2837,1),(3881,1),(5095,1)}
969:{3,4}:{(721,1),(742,1),(1259,1),(1283,1),(1301,1),(1795,1),(5745,1)}
970:{3,4,6}:{(720,1),(740,1),(1118,1),(1266,1),(1282,1),(1300,1),(1995,1),(2699,1),(2928,1),(2947,1),(3972,1),(5745,1)}
971:{3,4,5}:{(719,1),(741,1),(1117,1),(1120,1),(1257,1),(1281,1),(1299,1),(1679,1),(1778,1),(1795,1),(2008,1),(2012,1),(2544,1),(2677,1),(2701,1),(2717,1),(2724,1),(2926,1),(2947,1),(3583,1),(3726,1),(3743,1),(3976,1),(4860,1),(5745,2),(6825,1),(7720,1)}
972:{2,4,6,7}:{(711,1),(727,1),(1127,1),(1254,1),(1275,1),(1823,1),(1835,1),(2676,1),(2735,1),(2942,1),(3724,1),(3785,1),(3800,1),(4861,1),(4862,1),(4916,1),(4918,1),(4919,1),(5745,1),(6014,1),(6015,1),(6016,1),(6065,1),(6829,1),(6887,1),(7096,1),(7098,1),(7102,1),(7131,1),(7787,1),(7796,1)}
973:{2,6}:{(710,1),(725,1)}
974:{2,6}:{(712,1),(726,1),(1255,1)}
975:{4}:{(730,1)}
976:{4}:{(728,1)}
977:{3,4,6}:{(729,1),(1138,1),(1273,1),(1309,1),(1835,1),(1881,1),(2785,1),(2862,1),(2947,1),(3731,1),(5800,1),(5819,1),(6008,1),(6014,1),(6020,1),(6761,1),(6863,1),(7096,1),(7124,1),(7248,1),(7787,1),(7796,1),(7842,1)}
978:{2,3,5,7}:{(717,1),(725,1),(730,1),(733,1),(1130,1),(1261,1),(1274,1),(1277,1),(1313,1),(1690,1),(1700,1),(1772,1),(1827,1),(1845,1),(1868,1),(2023,1),(2503,1),(2520,1),(2670,1),(2688,1),(2711,1),(2734,1),(2753,1),(2773,1),(3550,1),(3706,1),(3730,1),(3778,1),(3779,1),(3994,1),(4617,1),(4656,1),(4683,1),(4847,1),(4869,1),(4888,1),(4910,1),(4914,1),(5095,3),(5096,1),(5754,1),(6007,1),(6036,1),(6054,1),(6055,1),(6061,1),(6897,1),(6915,1),(7131,1)}
979:{2,3,5,7}:{(718,1),(726,1),(728,1),(731,1),(1130,1),(1262,1),(1272,1),(1276,1),(1311,1),(1690,1),(1700,1),(1772,1),(1868,1),(2002,1),(2016,1),(2025,1),(2045,1),(2503,1),(2520,1),(2548,1),(2612,1),(2670,1),(2688,1),(2711,1),(2734,1),(2773,1),(2937,1),(2942,1),(2947,1),(2950,1),(3578,1),(3778,1),(3779,1),(3976,1),(3984,1),(3991,1),(3993,1),(4683,1),(5095,3),(5096,1),(5102,1),(5809,1),(6007,1),(6054,1),(6055,1),(6852,1),(6897,1),(6915,1),(7836,1),(9045,1)}
980:{2,3,5,7}:{(716,1),(727,1),(729,1),(732,1),(1260,1),(1273,1),(1312,1),(1850,1),(2015,1),(2046,1),(2669,1),(3807,1),(5095,1),(5754,1),(6007,1),(6021,1),(6022,1),(6054,1),(6055,1),(6852,1),(6915,1),(7836,1),(8500,1),(9045,1)}
981:{2,3,5}:{(719,1),(734,1),(758,1),(1257,1)}
982:{2,3,5}:{(721,1),(736,1),(759,1),(1259,1),(1262,1),(1283,1),(2016,1)}
983:{2,3,5,6}:{(720,1),(735,1),(760,1),(1161,1),(1258,1),(1260,1),(1280,1),(1282,1),(1865,1),(1871,1),(1881,1),(2006,1),(2015,1),(2669,1),(2693,1),(2719,1),(2776,1),(2785,1),(2792,1),(2921,1),(2943,1),(2947,1),(3583,1),(3731,1),(3751,1),(3752,1),(3807,1),(3819,1),(3820,1),(3825,1),(3976,1),(3998,1),(4687,1),(4695,1),(4868,1),(4903,1),(4932,1),(4949,1),(5114,1),(5763,1),(5826,1),(5843,1),(6020,1),(6021,1),(6220,1),(6761,1),(6863,1),(6887,1),(6915,1),(7124,1),(7248,1),(7954,1)}
984:{2,3,7}:{(722,1),(734,1),(762,1),(2916,1)}
985:{2,3,7}:{(724,1),(735,1),(761,1),(1270,1),(1823,1),(1881,1),(2792,1)}
986:{2,3,7}:{(723,1),(736,1),(763,1),(1269,1),(2942,1),(2947,1),(3998,1)}
987:{1,4,6}:{(710,1),(737,1),(743,1),(1265,1),(1289,1),(1292,1),(1302,1),(1999,1),(2674,1),(3594,1),(6106,1)}
988:{1,4,6}:{(712,1),(738,1),(745,1),(1263,1),(1287,1),(1291,1),(1304,1),(2000,1)}
989:{1,4,6,7}:{(711,1),(739,1),(744,1),(1172,1),(1264,1),(1288,1),(1290,1),(2028,1),(2576,1),(2668,1),(2923,1),(2958,1),(3625,1)}
990:{4,7}:{(742,1),(754,1),(1287,1),(1307,1)}
991:{4,7}:{(740,1),(752,1)}
992:{4,5,7}:{(741,1),(753,1),(1178,1),(1182,1),(1289,1),(1305,1),(1887,1),(1889,1),(2861,1),(2863,1),(3621,1),(4581,1),(4741,1)}
993:{1,2,4,7}:{(713,1),(768,1),(1186,1),(1271,1),(1284,1),(1293,1),(2019,1),(2051,1),(2555,1),(2591,1),(2645,1),(2744,1),(2808,1),(2960,1),(3922,1),(4982,1)}
994:{1,4,7}:{(714,1),(769,1),(1270,1),(1294,1),(1785,1),(1899,1),(5745,1)}
995:{1,4,7}:{(715,1),(767,1),(1269,1),(1286,1),(1295,1),(2808,1),(4006,1)}
996:{1,5,7}:{(718,1),(747,1),(750,1),(1169,1),(1291,1),(2833,1),(4757,1)}
997:{1,5,7}:{(717,1),(748,1),(749,1),(1169,1),(1292,1),(1884,1),(1887,1),(1889,1),(1901,1),(1902,1),(2670,1),(2808,1),(2833,1),(3830,1),(4581,1),(4757,1),(5095,1)}
998:{1,5,7}:{(716,1),(746,1),(751,1),(1908,1)}
999:{3,6}:{(743,1),(753,1),(1289,1),(1731,1)}
1000:{2,3,6,7}:{(744,1),(752,1),(1201,1),(1264,1),(1288,1),(1865,1),(1947,1),(3991,1)}
1001:{3,6}:{(745,1),(754,1),(1287,1),(2947,1)}
1002:{1,3,5,6}:{(720,1),(746,1),(756,1),(1207,1),(1296,1),(1300,1),(1924,1),(2035,1),(2606,1),(2928,1),(5119,1)}
1003:{1,3,5}:{(719,1),(748,1),(757,1),(1299,1),(1884,1),(1902,1),(2008,1),(2533,1),(2583,1),(2717,1),(2833,1),(3583,1),(3948,1),(4575,1),(4965,1),(5024,1)}
1004:{1,3,5}:{(721,1),(747,1),(755,1),(1301,1)}
1005:{1,3,4,6,7}:{(722,1),(749,1),(757,1),(1121,1),(1205,1),(1212,1),(1265,1),(1297,1),(1319,1),(1676,1),(1735,1),(1795,1),(1815,1),(1818,1),(1821,1),(1822,1),(1897,1),(1923,1),(1926,1),(1929,1),(1930,1),(1934,1),(1935,1),(1999,1),(2034,1),(2043,1),(2526,1),(2529,1),(2591,1),(2600,1),(2602,1),(2712,1),(2723,1),(2808,1),(2827,1),(2831,1),(2836,1),(2839,1),(2934,1),(3594,1),(3628,1),(3713,1),(3754,1),(3762,1),(3847,1),(3858,1),(3861,1),(3872,1),(3879,1),(3881,1),(3946,1),(4628,1),(4629,1),(4695,3),(4747,1),(4860,1),(4863,1),(4904,1),(4982,1),(4983,1),(5003,1),(5745,3),(5777,1),(5831,1),(5904,1),(5943,1),(6039,1),(6047,1),(6104,1),(6106,1),(6829,1),(6978,1),(7102,1),(7124,1)}
1006:{1,3,6,7}:{(723,1),(750,1),(755,1),(1121,1),(1212,1),(1263,1),(1298,1),(1676,1),(1735,1),(1923,1),(4695,1)}
1007:{1,3,6,7}:{(724,1),(751,1),(756,1),(1264,1),(1296,1),(2028,1),(3625,1)}
1008:{1,2,4,5,7}:{(727,1),(739,1),(760,1),(761,1),(1217,1),(1280,1),(1285,1),(1303,1),(1306,1),(1312,1),(1785,1),(1823,1),(1944,1),(1955,1),(2032,1),(2046,1),(2058,1),(2620,1),(2669,1),(2673,1),(2676,1),(2727,1),(2738,1),(2859,1),(2868,1),(2874,1),(2875,1),(2925,1),(2942,1),(2957,1),(2972,1),(2976,1),(3658,1),(3693,1),(3705,1),(3724,1),(3800,1),(3835,1),(3855,1),(3896,1),(3901,1),(3902,1),(3984,1),(4757,1),(4764,1),(4862,1),(4864,1),(4914,1),(4919,1),(4980,1),(5032,1),(5095,4),(5097,1),(5124,1),(5745,1),(5863,1),(5917,1),(5942,1),(6007,1),(6016,1),(6055,1),(6188,1),(6218,1),(6803,1),(6829,1),(6984,1),(7131,1),(7249,1),(7917,1),(9445,1)}
1009:{1,2,5,7}:{(726,1),(738,1),(759,1),(763,1),(1279,1),(1286,1),(1304,1),(1307,1),(1772,1),(2045,1),(2057,1),(2977,1),(5095,1)}
1010:{1,2,5,7}:{(725,1),(737,1),(758,1),(762,1),(1278,1),(1302,1),(1305,1),(1772,1),(2734,1),(2883,1),(3923,1),(5095,1)}
1011:{2,5}:{(741,1),(1222,1),(1225,1)}
1012:{2,4,6}:{(740,1),(1223,1),(1282,1),(1306,1),(1842,1),(1947,1),(3972,1)}
1013:{2}:{(742,1)}
1014:{1,2,5}:{(730,1),(748,1),(764,1),(1308,1),(2045,1),(3919,1)}
1015:{1,2,5}:{(728,1),(747,1),(766,1),(1310,1)}
1016:{1,2,5,6}:{(729,1),(746,1),(765,1),(1236,1),(1309,1),(1312,1),(1966,1),(2882,1),(5894,1),(5962,1),(6122,1),(6180,1),(6186,1),(6957,1),(7016,1),(9072,1),(9096,1)}
1017:{1,2,4,6,7}:{(732,1),(751,1),(761,1),(765,1),(1294,1),(1309,1),(1312,1),(1318,1),(2032,1),(2052,1),(2058,1),(5879,1),(5935,1),(5942,1),(5981,1),(6135,1),(6137,1),(6186,1),(6188,1),(6193,1),(6803,1),(7016,1),(7796,1),(9096,1),(9445,1)}
1018:{1,2,4,6,7}:{(731,1),(750,1),(763,1),(766,1),(1226,1),(1234,1),(1241,1),(1295,1),(1304,1),(1310,1),(1311,1),(1317,1),(1757,1),(1762,1),(1897,1),(1953,1),(1965,1),(2000,1),(2028,1),(2033,1),(2048,1),(2051,1),(2057,1),(2591,1),(2634,1),(2644,1),(2657,1),(2808,1),(2827,1),(2872,1),(2909,1),(2958,1),(2967,1),(2974,1),(3594,1),(3658,1),(3689,1),(3700,1),(3844,1),(3900,1),(3922,1),(3946,1),(3972,1),(4006,1),(4596,1),(4597,1),(4730,1),(4764,1),(4781,1),(4807,1),(4863,1),(4982,1),(5071,1),(5112,1),(5119,1),(5707,1),(5879,1),(5935,1),(5942,1),(5969,1),(5981,1),(6104,1),(6803,1),(6984,1),(7016,1),(7053,1),(7055,1),(7796,1),(8545,1),(9096,1),(9445,1)}
1019:{1,2,4,6,7}:{(733,1),(749,1),(762,1),(764,1),(1226,1),(1234,1),(1241,1),(1293,1),(1302,1),(1308,1),(1313,1),(1319,1),(1757,1),(1762,1),(1897,1),(1946,1),(1949,1),(1953,1),(1965,1),(1969,1),(1974,1),(1999,1),(2026,1),(2034,1),(2049,1),(2591,1),(2634,1),(2742,1),(2802,1),(2808,1),(2827,1),(2861,1),(2872,1),(2876,1),(2885,1),(2891,1),(2893,1),(2909,1),(2960,1),(2975,1),(3594,1),(3700,1),(3839,1),(3844,1),(3847,1),(3872,1),(3900,1),(3913,1),(3918,1),(3919,1),(3922,1),(3923,1),(3946,1),(4592,1),(4596,1),(4597,1),(4729,1),(4863,1),(4974,1),(4982,1),(4983,1),(5003,1),(5044,1),(5070,1),(5071,1),(5707,1),(5733,1),(5894,1),(5935,1),(5943,1),(5981,1),(6104,1),(6106,1),(6167,1),(6798,1),(6803,1),(7053,1),(7055,1),(7102,1),(7131,1),(8505,1),(8545,1)}
1020:{1,2,3,6}:{(735,1),(756,1),(765,1),(769,1),(1294,1),(1865,1),(1936,1),(2006,1),(3689,1),(4695,1)}
1021:{1,2,3,6}:{(734,1),(757,1),(764,1),(768,1),(1250,1),(1293,1),(1316,1),(1985,1),(1988,1),(2021,1),(2567,1),(2791,1),(2909,1),(2918,1),(2929,1),(3700,1),(4596,1),(5071,1),(5119,1),(5894,1),(8545,1)}
1022:{1,2,3,6}:{(736,1),(755,1),(766,1),(767,1),(1250,1),(1295,1),(1314,1),(2928,1),(2967,1)}
1023:{4,6,7}:{(772,1),(783,1),(817,1),(1322,1),(1325,1),(1402,1),(2199,1),(3004,1)}
1024:{4,6}:{(770,1),(785,1),(1320,1),(1336,1),(2199,1)}
1025:{4,6,7}:{(771,1),(784,1),(817,1),(1323,1),(1324,1),(2064,1)}
1026:{4,6}:{(773,1),(782,1),(1321,1),(1338,1),(2089,1)}
1027:{3,4,7}:{(773,1),(775,1),(826,1),(1327,1),(1331,1),(1342,1),(1367,1),(1424,1),(2067,1),(2365,1)}
1028:{3,5,7}:{(772,1),(777,1),(830,1),(1325,1),(1366,1),(1421,1),(2216,1),(5318,1),(5546,1)}
1029:{3,4,5,7}:{(770,1),(776,1),(826,1),(830,1),(1326,1),(1328,1),(1341,1),(1365,1),(1413,1),(1416,1),(1423,1),(1424,1),(2066,1),(2069,1),(2209,1),(2220,1),(2221,1),(2225,1),(2227,1),(2365,1),(2999,1),(3014,1),(3106,1),(3110,1),(3173,1),(3186,1),(3225,1),(3259,1),(3348,1),(3357,1),(4026,1),(4053,1),(4163,1),(4170,1),(4174,1),(4311,1),(4325,1),(4410,1),(5543,1),(5546,1)}
1030:{3,7}:{(771,1),(774,1),(1364,1)}
1031:{3,6}:{(787,1),(844,1),(1330,1),(4328,1)}
1032:{3,5}:{(788,1),(843,1),(1332,1)}
1033:{3}:{(786,1)}
1034:{3,5,6}:{(789,1),(843,1),(844,1),(1329,1),(1335,1),(1431,1),(1436,1),(1437,1),(1438,1),(2241,1),(2243,1),(2366,1),(3347,1),(4311,1),(4328,1),(5195,1),(5244,1)}
1035:{2,4,7}:{(771,1),(781,1),(853,1),(1340,1),(1463,1),(5166,1)}
1036:{2,7}:{(773,1),(780,1),(1338,1),(3041,1)}
1037:{2,5,7}:{(770,1),(779,1),(855,1),(1336,1),(1461,1),(2257,1),(5546,1)}
1038:{2,4,5,7}:{(772,1),(778,1),(853,1),(855,1),(1339,1),(1343,1),(1451,1),(1456,1),(1459,1),(1463,1),(2088,1),(2209,1),(2258,1),(2262,1),(3173,1),(3184,1),(3263,1),(5166,1),(5213,1),(5495,1),(5546,1),(6350,1),(6608,1)}
1039:{2,3,6}:{(774,1),(781,1),(872,1),(1340,1),(1344,1),(1386,1),(3297,1),(4368,1),(5178,1)}
1040:{2,3}:{(775,1),(780,1),(1347,1),(1384,1)}
1041:{2,3,5}:{(776,1),(779,1),(871,1),(1346,1),(1387,1),(1479,1),(2196,1),(2280,1),(2283,1),(3426,1),(4243,1),(5495,1)}
1042:{2,3,5,6}:{(777,1),(778,1),(871,1),(872,1),(1343,1),(1345,1),(1385,1),(1469,1),(1474,1),(1475,1),(1476,1),(2103,1),(2273,1),(2279,1),(3173,1),(3258,1),(3259,1),(4311,1),(5178,1),(5235,1),(5419,1),(5495,1),(5504,1)}
1043:{1,4,5,7}:{(770,1),(788,1),(794,1),(889,1),(1328,1),(1355,1),(1361,1),(1377,1),(1501,1),(2069,1),(2125,1),(2227,1),(2999,1),(3014,1),(3119,1)}
1044:{1,4,7}:{(773,1),(786,1),(796,1),(1331,1),(1352,1),(1378,1),(2067,1)}
1045:{1,4,5,7}:{(772,1),(789,1),(797,1),(889,1),(1329,1),(1353,1),(1360,1),(1366,1),(1501,1),(1508,1),(2126,1),(2134,1),(2152,1),(2227,1),(2319,1),(3013,1),(3090,1),(3099,1),(3204,1),(3323,1),(4124,1),(5318,1),(5546,1)}
1046:{1,4,7}:{(771,1),(787,1),(795,1),(1330,1),(1362,1),(1364,1)}
1047:{4,6}:{(798,1),(896,1),(1356,1),(1360,1),(2215,1),(2488,1),(3112,1),(3189,1)}
1048:{1,4}:{(800,1),(821,1),(1332,1),(1381,1)}
1049:{1,4}:{(801,1),(821,1),(1333,1),(1382,1)}
1050:{4,6}:{(799,1),(896,1),(1358,1),(1362,1),(2488,1),(3189,1)}
1051:{1,4,5}:{(776,1),(904,1),(908,1),(1372,1),(1387,1),(1519,1),(1521,1),(1529,1),(1531,1),(2140,1),(2326,1),(2334,1),(2341,1)}
1052:{1,6}:{(774,1),(909,1),(1364,1)}
1053:{1,5,6}:{(777,1),(908,1),(909,1),(1366,1),(1519,1),(1521,1),(1525,1),(1526,1),(2330,1),(2331,1),(2334,1),(3315,1),(5297,1)}
1054:{1,4}:{(775,1),(904,1),(1374,1),(1384,1)}
1055:{3,5}:{(793,1),(902,1),(1356,1),(1400,1),(4526,1)}
1056:{5}:{(790,1)}
1057:{1,5}:{(792,1),(837,1)}
1058:{1,3,5}:{(791,1),(837,1),(902,1),(1357,1),(1436,1),(1519,1),(2125,1),(3320,1),(4311,1),(4526,1),(4527,1),(5173,1),(5297,1),(5470,1),(5562,1),(5565,1),(6593,1),(7257,1),(7524,1)}
1059:{4,7}:{(790,1),(804,1),(1371,1)}
1060:{3,4,7}:{(793,1),(805,1),(914,1),(1360,1),(1369,1),(1410,1),(3283,1),(4159,1),(4532,1)}
1061:{1,3,4,7}:{(791,1),(803,1),(849,1),(914,1),(1361,1),(1370,1),(1399,1),(1443,1),(1528,1),(2131,1),(3102,1),(3225,1),(3336,1),(3424,1),(4432,1),(4532,1),(4533,1),(5183,1),(5325,1),(5478,1),(5575,1),(6438,1),(6606,1),(7271,1),(7542,1)}
1062:{1,4,7}:{(792,1),(802,1),(849,1),(1368,1),(1396,1)}
1063:{1,2,5}:{(779,1),(788,1),(931,1),(1350,1),(1381,1),(1400,1),(2283,1),(2334,1),(2999,1),(5495,1)}
1064:{1,2}:{(780,1),(786,1),(1348,1)}
1065:{1,2,4,6}:{(781,1),(787,1),(929,1),(932,1),(1351,1),(1379,1),(1383,1),(1386,1),(1401,1),(1411,1),(1566,1),(2141,1),(2193,1),(2331,1),(2453,1),(2454,1),(2470,1),(2472,1),(2488,1),(2490,1),(3129,1),(3389,1),(3482,1),(3484,1),(3486,1),(4185,1),(4195,1),(6346,1)}
1066:{1,2,4,5,6}:{(778,1),(789,1),(929,1),(931,1),(932,1),(1349,1),(1376,1),(1380,1),(1385,1),(1400,1),(1401,1),(1411,1),(1554,1),(1555,1),(1556,1),(1557,1),(1566,1),(2059,1),(2139,1),(2155,1),(2170,1),(2182,1),(2194,1),(2199,1),(2203,1),(2204,1),(2214,1),(2215,1),(2254,1),(2263,1),(2283,1),(2315,1),(2322,1),(2326,1),(2331,1),(2334,1),(2375,1),(2376,1),(2379,1),(2380,1),(2390,1),(2392,1),(2434,1),(2436,1),(2453,1),(2454,1),(2470,1),(2472,1),(2488,1),(2490,1),(2998,1),(2999,1),(3004,1),(3026,1),(3034,1),(3039,1),(3071,1),(3073,1),(3117,1),(3119,1),(3129,1),(3130,1),(3134,1),(3153,1),(3171,1),(3175,1),(3178,1),(3180,1),(3185,1),(3188,1),(3189,1),(3191,1),(3239,1),(3244,1),(3249,1),(3252,1),(3267,1),(3269,1),(3302,1),(3304,1),(3308,1),(3309,1),(3311,1),(3315,1),(3319,1),(3320,1),(3366,1),(3370,2),(3373,1),(3381,1),(3389,1),(3390,1),(3408,1),(3433,1),(3435,1),(3451,1),(3453,1),(3473,1),(3474,1),(3481,1),(3482,1),(3484,1),(3486,1),(4033,1),(4039,1),(4043,1),(4060,1),(4062,1),(4065,1),(4071,1),(4079,1),(4081,1),(4089,1),(4132,1),(4185,2),(4186,1),(4193,1),(4195,1),(4202,1),(4225,1),(4263,1),(4269,1),(4270,1),(4271,1),(4278,1),(4288,2),(4337,1),(4340,1),(4341,1),(4342,1),(4347,1),(4391,1),(4397,1),(4398,1),(4402,1),(4405,1),(4409,1),(4415,1),(4421,1),(4458,1),(4464,1),(4470,1),(4479,1),(4489,1),(4491,1),(4499,1),(4526,4),(4534,1),(4536,1),(4555,1),(4556,1),(4562,1),(5208,1),(5219,1),(5268,1),(5269,1),(5271,1),(5273,1),(5275,1),(5276,1),(5297,1),(5333,1),(5334,2),(5348,1),(5351,1),(5363,1),(5390,1),(5419,1),(5432,5),(5440,1),(5446,1),(5487,1),(5488,2),(5489,1),(5495,4),(5547,1),(5562,1),(5563,1),(5603,1),(5609,1),(5621,1),(5629,1),(5634,1),(5660,4),(5664,1),(6257,1),(6265,2),(6288,1),(6289,2),(6302,1),(6338,1),(6340,1),(6346,5),(6349,1),(6410,1),(6413,1),(6420,1),(6425,1),(6474,2),(6486,1),(6521,1),(6522,1),(6566,2),(6568,1),(6572,1),(6577,1),(6607,2),(6612,4),(6658,3),(6662,1),(6696,1),(6710,1),(6746,1),(6752,1),(7322,2),(7379,1),(7380,1),(7383,2),(7406,1),(7459,1),(7498,1),(7504,1),(7513,1),(7524,1),(7532,1),(7535,1),(7584,4),(7643,1),(7668,1),(7703,1),(8146,1),(8197,4),(8200,1),(8203,1),(8237,1),(8239,1),(8264,1),(8348,1),(8353,1),(8419,1),(8889,1)}
1067:{1,6}:{(782,1),(796,1),(2981,1),(3003,1)}
1068:{1,2,6,7}:{(784,1),(795,1),(899,1),(937,1),(1354,1),(1390,1),(2983,1),(3040,1),(3097,1)}
1069:{1,2,6,7}:{(783,1),(797,1),(899,1),(937,1),(1353,1),(1391,1),(1518,1),(2183,1),(2199,1),(2380,1),(3042,1),(5660,1)}
1070:{1,6}:{(785,1),(794,1)}
1071:{1,3,5,7}:{(794,1),(800,1),(803,1),(877,1),(1328,1),(1361,1),(1389,1),(2125,1)}
1072:{1,3,5,7}:{(796,1),(801,1),(802,1),(877,1),(1331,1),(1363,1),(1368,1),(1388,1),(2074,1),(2078,1),(2124,1),(7261,1),(7282,1),(7298,1)}
1073:{2,3,5,7}:{(797,1),(798,1),(805,1),(915,1),(1329,1),(1360,1),(1369,1),(1391,1),(1559,1),(2119,1),(2126,1),(2159,1),(2373,1),(3283,1),(4159,1),(4511,1),(5318,1),(5407,1),(5546,1)}
1074:{2,3,5,7}:{(795,1),(799,1),(804,1),(915,1),(1330,1),(1362,1),(1371,1),(1390,1),(1559,1),(2072,1),(2076,1),(2122,1),(2123,1),(2162,1),(2373,1),(3040,1),(3283,1)}
1075:{1,2,3,6}:{(791,1),(809,1),(884,1),(947,1),(1381,1),(1399,1),(1438,1),(1496,1),(1526,1),(1580,1),(2166,1),(2192,1),(3346,1),(3457,1),(3458,1),(4324,1),(4499,1),(5142,1),(5178,1),(5240,1),(5390,1),(5495,1),(5532,1),(5633,1),(5634,1),(6457,1),(6522,1),(6628,1),(7532,1),(8134,1)}
1076:{1,2,6}:{(792,1),(807,1),(884,1),(1382,1),(1396,1),(1526,1),(5128,1)}
1077:{2,4,6}:{(790,1),(808,1),(955,1),(1395,1),(1397,1),(1401,1),(1514,1),(2453,1),(3267,1),(6346,1)}
1078:{2,3,4,6}:{(793,1),(806,1),(947,1),(955,1),(1380,1),(1393,1),(1398,1),(1401,1),(1438,1),(1467,1),(1496,1),(1514,1),(2084,1),(2215,1),(2223,1),(2236,1),(2277,1),(2307,1),(2453,1),(2454,1),(3034,1),(3168,1),(3185,1),(3191,1),(3267,1),(3457,1),(3458,1),(4288,1),(4324,1),(4380,1),(4409,1),(4538,1),(5134,1),(5178,1),(5412,1),(5495,1),(5532,1),(5558,1),(6255,1),(6259,1),(6332,1),(6346,1),(6612,1)}
1079:{6}:{(810,1)}
1080:{5,7}:{(811,1),(822,1),(1320,1),(2999,1),(3173,1)}
1081:{5,6}:{(811,1),(817,1),(1323,1)}
1082:{4,5,7}:{(810,1),(812,1),(820,1),(1402,1),(1404,1),(1413,1),(1451,1),(2209,1),(3173,1),(5546,1)}
1083:{5}:{(823,1)}
1084:{4,5}:{(824,1),(957,1),(959,1),(1400,1),(1401,1),(1415,1)}
1085:{4,5,6}:{(812,1),(818,1),(850,1),(1402,1),(1403,1),(1405,1),(1409,1),(1418,1),(2202,1),(2224,1),(3024,1),(3173,1),(4032,1),(4063,1),(4070,1)}
1086:{4,6,7}:{(815,1),(816,1),(825,1),(1402,1),(1419,1),(1455,1),(1598,1),(1599,1),(2437,1),(3203,1),(3204,1),(6570,1)}
1087:{4,6}:{(819,1),(864,1),(1403,1),(1420,1),(2199,1)}
1088:{4,7}:{(818,1),(865,1),(1421,1)}
1089:{4,5}:{(821,1),(837,1),(1409,1),(1460,1),(3173,1),(4063,1)}
1090:{4,7}:{(821,1),(877,1),(1408,1),(1461,1)}
1091:{4,6,7}:{(820,1),(823,1),(878,1),(1402,1),(1404,1),(1408,1),(1410,1),(2199,1)}
1092:{4,6}:{(824,1),(880,1),(1400,1),(1410,1),(2199,1)}
1093:{3,5}:{(812,1),(834,1),(1519,1),(3173,1),(3259,1)}
1094:{3,6}:{(813,1),(826,1),(1520,1),(3003,1),(3259,1)}
1095:{3,5}:{(811,1),(835,1),(1425,1),(1521,1),(4179,1)}
1096:{3,5,6,7}:{(814,1),(828,1),(960,1),(961,1),(1322,1),(1323,1),(1324,1),(1325,1),(1433,1),(1522,1),(2072,1),(2199,1),(2200,1),(2216,1),(2219,1),(3196,1),(3215,1),(3216,1),(4045,1),(5244,1),(5660,1),(6371,1)}
1097:{3,5,6}:{(815,1),(829,1),(1403,1),(1420,1),(1434,1),(1523,1),(2199,1),(5244,1),(5660,1)}
1098:{3,5,7}:{(816,1),(827,1),(833,1),(1404,1),(1421,1),(1524,1),(3173,1),(3174,1),(4045,1),(4311,1),(5546,1)}
1099:{3,6}:{(817,1),(831,1),(1525,1),(5143,1)}
1100:{3,6}:{(818,1),(832,1),(1421,1),(1526,1)}
1101:{3,5,7}:{(819,1),(832,1),(836,1),(1414,1),(1415,1),(1420,1),(1421,1),(1527,1),(2216,1),(5546,1)}
1102:{3,4,7}:{(820,1),(834,1),(838,1),(1413,1),(1421,1),(1478,1),(1528,1),(2209,1),(3225,1),(3259,1)}
1103:{3,4}:{(821,1),(839,1),(1427,1),(1479,1),(1529,1)}
1104:{3,4,6,7}:{(822,1),(830,1),(835,1),(866,1),(1325,1),(1326,1),(1416,1),(1424,1),(1446,1),(1530,1),(2065,1),(2227,1),(2365,1),(3104,1),(3357,1),(4020,1)}
1105:{4}:{(867,1)}
1106:{3,4,6}:{(823,1),(836,1),(879,1),(1414,1),(1420,1),(1427,1),(1532,1),(2224,1),(2368,1),(3347,1),(4409,1)}
1107:{3,4}:{(824,1),(881,1),(1415,1),(1533,1)}
1108:{3,5,7}:{(810,1),(837,1),(849,1),(1368,1),(1407,1),(1430,1),(3259,1)}
1109:{3,5,7}:{(838,1),(839,1),(885,1),(1331,1),(1423,1),(1432,1),(2074,1),(2220,1),(2365,1),(3106,1),(3225,1),(3259,1),(4311,1),(4325,1),(5470,1),(5478,1)}
1110:{3,5,6}:{(842,1),(845,1),(886,1),(1400,1),(1434,1),(1435,1),(1436,1),(1438,1),(2199,1),(2243,1),(2309,1),(3222,1),(3347,1),(4311,1),(4324,1),(4526,1),(4538,1),(5178,1),(5244,1),(5660,1)}
1111:{3,5,7}:{(840,1),(841,1),(887,1),(1330,1),(1433,1),(1440,1),(2216,1),(2310,1),(3283,1),(3442,1),(3443,2),(4120,1),(5244,1),(5259,1)}
1112:{3,5,7}:{(842,1),(848,1),(888,1),(1434,1),(2446,1),(3443,1),(4120,1),(5244,1)}
1113:{3,7}:{(843,1),(889,1)}
1114:{3,5,7}:{(844,1),(847,1),(890,1),(1330,1),(1431,1),(1437,1),(1444,1),(2241,1),(2366,1),(3105,1),(4120,1),(4328,1),(5244,1)}
1115:{3,5}:{(846,1),(891,1),(1438,1),(4328,1)}
1116:{3,4,7}:{(840,1),(845,1),(892,1),(1410,1),(1435,1),(1493,1),(1598,1),(1599,1),(2213,1),(2216,1),(2437,1),(3007,1),(3204,1),(3443,1),(4532,1),(6570,1)}
1117:{3,4,6}:{(841,1),(893,1),(969,1),(971,1),(1411,1),(1440,1),(1494,1),(1543,1),(2228,1),(3178,1),(4538,1),(6289,1)}
1118:{3,4,5}:{(842,1),(894,1),(969,1),(970,1),(1412,1),(1495,1),(1544,1),(1603,1),(2229,1),(2253,1),(2446,1),(3212,1),(3436,1),(4526,1)}
1119:{3,4,6}:{(843,1),(846,1),(895,1),(1332,1),(1436,1),(1438,1),(1443,1),(1496,1),(2215,1),(2243,1),(2309,1),(2368,1),(3191,1),(3212,1),(3232,1),(3347,1),(4053,1),(4324,1),(4328,1),(4409,1),(5178,1),(5195,1),(6299,1)}
1120:{3,4}:{(844,1),(896,1),(1497,1),(1546,1)}
1121:{3,6}:{(847,1),(897,1),(1431,1)}
1122:{3,4,7}:{(846,1),(847,1),(898,1),(1439,1),(1447,1),(1499,1),(2368,1),(3204,1),(3225,1),(4120,1),(4328,1)}
1123:{2,5,7}:{(810,1),(850,1),(862,1),(1405,1),(1450,1),(3009,1),(3263,1),(4047,1)}
1124:{2,5}:{(863,1),(958,1),(959,1),(1449,1),(6346,1)}
1125:{2,5}:{(812,1),(859,1),(3173,1),(5495,1)}
1126:{2,5,6}:{(813,1),(851,1),(1320,1),(1321,1),(1336,1),(1338,1),(2257,1),(5135,1),(5410,1)}
1127:{2,6}:{(815,1),(854,1),(6346,1)}
1128:{2,6,7}:{(814,1),(853,1),(973,1),(974,1),(1599,1),(1600,1),(3040,1),(3263,1),(4339,1),(4340,1),(6346,1),(7387,1)}
1129:{2,5,7}:{(816,1),(852,1),(858,1),(1455,1),(1459,1),(3263,1),(5495,1)}
1130:{2,5}:{(811,1),(860,1),(1400,1),(1464,1),(2434,1),(2436,1),(2999,1),(3173,1),(4060,1),(4526,1),(5432,1)}
1131:{2,4,6}:{(817,1),(856,1),(973,1),(974,1),(1401,1),(1457,1),(1474,1),(1616,1),(1617,1),(2199,1),(2453,1),(3004,1),(3239,1),(4340,2),(5489,1),(5495,1),(5660,1),(6346,1),(6607,1),(6612,1),(8237,1)}
1132:{2,4,6}:{(818,1),(852,1),(857,1),(1459,1),(1462,1),(1475,1),(3249,1),(4079,1),(5495,1)}
1133:{2,4,5,7}:{(819,1),(854,1),(857,1),(861,1),(1451,1),(1452,1),(1454,1),(1458,1),(1459,1),(1465,1),(1477,1),(2209,1),(2210,1),(2255,1),(2258,1),(2259,1),(2262,1),(2280,1),(3038,1),(3173,1),(3184,1),(3187,1),(3249,1),(3263,1),(4033,1),(4337,1),(4349,1),(5166,1),(5495,2),(5498,1),(5546,1),(6346,1),(6576,1),(7584,1)}
1134:{2,4,7}:{(820,1),(858,1),(859,1),(1451,1),(1461,1),(1478,1),(2209,1),(3263,1),(5495,1)}
1135:{2}:{(821,1)}
1136:{2,4,6,7}:{(822,1),(855,1),(860,1),(868,1),(1336,1),(1410,1),(1456,1),(1463,1),(2090,1),(2199,1),(2212,1),(2269,1),(3239,1),(4532,1),(5660,1)}
1137:{4,6}:{(869,1),(975,1),(976,1),(1463,1),(1464,1),(2214,1),(2488,1),(3189,1),(5224,1)}
1138:{4}:{(870,1)}
1139:{2,4,6}:{(823,1),(861,1),(873,1),(1452,1),(1462,1),(2211,1),(3191,1),(4409,1),(5495,1)}
1140:{2,4}:{(824,1),(882,1),(1412,1),(2215,1),(3436,1),(5495,1),(6346,1)}
1141:{2,6,7}:{(825,1),(864,1),(865,1),(1406,1),(1599,1),(1600,1),(3009,1),(3263,1)}
1142:{2,3,5,7}:{(826,1),(851,1),(866,1),(867,1),(1342,1),(1416,1),(1424,1),(1470,1),(1572,1),(2100,1),(2365,1)}
1143:{2,3,5,6}:{(827,1),(852,1),(870,1),(873,1),(1452,1),(1462,1),(1469,1),(1473,1),(1475,1),(1573,1),(2256,1),(2257,1),(2273,1),(2279,1),(2294,1),(2309,1),(3053,1),(3173,1),(3258,1),(3259,1),(4081,1),(4311,1),(5178,1),(5495,1),(5504,1)}
1144:{2,3,5,7}:{(828,1),(853,1),(868,1),(869,1),(1340,1),(1456,1),(1463,1),(1574,1),(2101,1),(2310,1),(2373,1),(3283,1)}
1145:{2,3,5,7}:{(829,1),(854,1),(870,1),(876,1),(1452,1),(1465,1),(1468,1),(1471,1),(1575,1),(2255,1),(2258,1),(2279,1),(2294,1),(2312,1),(3173,1),(3174,1),(3195,1),(3199,1),(3260,1),(4311,1),(4337,1),(4371,1),(5244,1),(5495,1),(5504,1),(5546,1),(6346,1),(7584,1)}
1146:{2,3,7}:{(830,1),(855,1),(871,1),(1576,1),(3259,1),(3263,1),(5407,1)}
1147:{2,3,5,7}:{(831,1),(856,1),(872,1),(875,1),(1340,1),(1415,1),(1474,1),(1476,1),(1481,1),(1577,1),(2216,1),(2221,1),(2281,1),(3262,1),(3297,1),(4117,1),(4367,1),(4368,1),(4382,1),(5149,1),(5235,1),(5495,1),(5504,1),(5546,1),(6346,1),(6362,1),(8134,1)}
1148:{2,3,5}:{(832,1),(857,1),(874,1),(1475,1),(1482,1),(1578,1),(2279,1),(3259,1)}
1149:{2,3,6,7}:{(833,1),(858,1),(873,1),(1455,1),(1466,1),(1473,1),(1478,1),(1493,1),(1579,1),(2273,1),(3258,1),(3259,1),(3263,1),(4085,1),(4511,1),(5495,1)}
1150:{2,3,6}:{(834,1),(859,1),(874,1),(1469,1),(1478,1),(1479,1),(1580,1),(3259,1),(5495,1)}
1151:{2,3,4,6}:{(835,1),(860,1),(871,1),(875,1),(1345,1),(1346,1),(1428,1),(1474,1),(1476,1),(1498,1),(1581,1),(2104,1),(2196,1),(2214,1),(2235,1),(2283,1),(2306,1),(3114,1),(3163,1),(3189,1),(3426,1),(4261,1),(4328,1),(4409,1),(5495,1),(5499,1),(6346,1),(6390,1),(7322,1)}
1152:{3,4}:{(872,1),(975,1),(976,1),(1582,1),(1628,1),(1629,1),(3259,1),(5224,1),(6248,1)}
1153:{2,3,4,7}:{(836,1),(861,1),(874,1),(1477,1),(1478,1),(1482,1),(1483,1),(1484,1),(1499,1),(1583,1),(2209,1),(2237,1),(2288,1),(3184,1),(3225,1),(3259,1),(3263,1),(4053,1),(4323,1),(4349,1),(4367,1),(4511,1),(5495,1),(5498,1),(5535,1),(6346,1),(6349,1),(6576,1),(6648,1)}
1154:{2,3,4,6}:{(863,1),(883,1),(963,1),(964,1),(1412,1),(1449,1),(1467,1),(1468,1),(1484,1),(1500,1),(1584,1),(1620,1),(2206,1),(2211,1),(2236,1),(2253,1),(2277,1),(2293,1),(2453,1),(2458,1),(2467,1),(3222,1),(3436,1),(3440,1),(3458,1),(4538,1),(6346,1)}
1155:{3,6}:{(877,1),(925,1),(1408,1),(3259,1)}
1156:{2,3,5,6}:{(837,1),(850,1),(884,1),(1392,1),(1409,1),(1418,1),(1430,1),(1460,1),(1469,1),(1485,1),(2086,1),(2117,1),(2202,1),(2257,1),(2265,1),(2273,1),(2286,1),(3018,1),(3054,1),(3058,1),(3173,1),(3259,1),(4063,1),(4088,1),(4311,1),(5495,1)}
1157:{2,3,6,7}:{(838,1),(879,1),(926,1),(1426,1),(1432,1),(1446,1),(1478,1),(1486,1),(1490,1),(2112,1),(2273,1),(2285,1),(2365,1),(3003,1),(3009,1),(3022,1),(3058,1),(3062,1),(3155,1),(3225,1),(3259,1),(3261,1),(3263,1),(3425,1),(4085,1),(4086,1),(4325,1),(4386,1),(4509,1),(4511,1),(5478,1),(5495,1),(6281,1),(7386,1)}
1158:{2,3,5}:{(839,1),(879,1),(927,1),(1348,1),(1414,1),(1427,1),(1431,1),(1479,1),(2061,1),(2280,1),(2283,1),(4311,1),(5495,1)}
1159:{2,3,7}:{(840,1),(880,1),(928,1),(1410,1),(1599,1),(1600,1),(2216,1)}
1160:{2,3,5,6}:{(841,1),(880,1),(929,1),(981,1),(982,1),(1351,1),(1400,1),(1411,1),(1488,1),(1494,1),(1609,1),(1622,1),(1624,1),(2062,1),(2118,1),(2199,1),(2263,1),(2434,1),(2436,1),(2453,1),(2462,1),(3006,1),(3056,1),(3171,1),(3239,1),(3289,1),(3453,1),(3458,2),(4060,1),(4374,1),(4526,2),(4538,1),(5244,1),(5432,1),(5660,2),(6346,1)}
1161:{2,3,5}:{(842,1),(883,1),(930,1),(1412,1),(5244,1),(6346,1)}
1162:{2,3,6}:{(843,1),(881,1),(931,1),(1350,1),(1428,1),(1490,1),(2196,1),(3034,1)}
1163:{2,3,5}:{(844,1),(881,1),(932,1),(1351,1),(1415,1),(1429,1),(1497,1),(1628,1),(1629,1),(2062,1),(2311,1),(2446,1),(2448,1),(2467,1),(2468,1),(3285,1),(3297,1),(4114,1),(4328,1),(4368,1),(5244,1),(5264,1),(6248,1),(6346,1)}
1164:{2,3,6}:{(845,1),(882,1),(933,1),(1449,1),(1467,1),(1493,1),(2453,1),(3034,1),(3267,1),(5495,1),(6346,1),(6612,1)}
1165:{2,3}:{(846,1),(934,1),(6346,1)}
1166:{2,3,7}:{(847,1),(881,1),(935,1),(1448,1),(1498,1),(1628,1),(1629,1),(2196,1),(2310,1),(2467,1),(2468,1),(3225,1),(4120,1),(4328,1),(4339,1),(6248,1)}
1167:{2,3,7}:{(848,1),(883,1),(936,1),(2467,1),(4120,1),(6346,1)}
1168:{2,3,7}:{(849,1),(862,1),(884,1),(1396,1),(1421,1),(1461,1),(5184,1)}
1169:{1,5}:{(811,1),(897,1),(1431,1)}
1170:{1,4,6}:{(813,1),(885,1),(925,1),(1402,1),(1408,1),(1432,1),(1520,1),(1550,1),(2234,1),(2330,1),(3003,1),(3119,1),(3121,1),(3238,1),(4482,1)}
1171:{1,4,6,7}:{(814,1),(887,1),(899,1),(987,1),(988,1),(1433,1),(1510,1),(1522,1),(1552,1),(2127,1),(2199,1),(2212,1),(3097,1),(3177,1),(3304,1),(3323,1),(4137,1),(4195,1),(5660,2)}
1172:{1,4,6}:{(815,1),(888,1),(900,1),(1434,1),(1511,1),(1523,1),(1551,1),(1632,1),(2127,1),(2199,1),(2211,1),(2441,1),(3097,1),(3175,1),(4415,1),(5660,3)}
1173:{1,4,5,7}:{(816,1),(886,1),(892,1),(901,1),(1435,1),(1505,1),(1508,1),(1512,1),(1524,1),(1553,1),(1598,1),(1599,1),(2200,1),(2213,1),(2319,1),(2387,1),(2437,1),(2480,1),(2481,1),(3007,1),(3174,1),(3176,1),(3204,1),(3306,1),(3317,1),(3323,1),(3432,1),(4045,1),(4401,1),(4416,1),(4530,1),(5166,1),(5542,1),(5546,1),(5679,1),(6438,1),(6570,1)}
1174:{1,4,5}:{(812,1),(895,1),(902,1),(1356,1),(1400,1),(1436,1),(1503,1),(1519,1),(1555,1),(2059,1),(2125,1),(2203,1),(2215,1),(2229,1),(2326,1),(2334,1),(2999,1),(3014,1),(3119,1),(3320,1),(4033,1),(4270,1),(4391,1),(4526,1),(5297,1),(5440,1),(5562,1),(6658,1)}
1175:{1,4,6}:{(817,1),(890,1),(937,1),(1437,1),(1502,1),(1513,1),(1525,1),(2127,1),(2228,1),(3097,1),(5143,1)}
1176:{1,4,6}:{(818,1),(891,1),(938,1),(1401,1),(1438,1),(1508,1),(1514,1),(1526,1),(2331,1),(3129,1)}
1177:{1,4,5,7}:{(819,1),(891,1),(898,1),(939,1),(1439,1),(1503,1),(1507,1),(1508,1),(1515,1),(1527,1),(2229,1),(2319,1),(2336,1),(3204,1),(3323,1),(5546,1)}
1178:{4,7}:{(893,1),(915,1),(1559,1)}
1179:{4,5,6}:{(893,1),(894,1),(916,1),(1356,1),(1358,1),(1511,1),(1512,1),(1514,1),(1560,1),(1634,1),(1635,1),(2127,1),(2129,1),(2321,1),(2488,1),(2490,1),(4060,1),(4167,1),(4526,1),(5660,1)}
1180:{4,5,7}:{(894,1),(917,1),(990,1),(991,1),(1511,1),(1561,1),(1635,1),(1636,1),(2488,1)}
1181:{1,4,7}:{(820,1),(895,1),(948,1),(1360,1),(1410,1),(1443,1),(2069,1),(2213,1),(2227,1),(3007,1),(3119,1),(3190,1),(3204,1),(4532,1),(5166,1),(6438,1),(6570,1),(6658,1)}
1182:{4,7}:{(896,1),(949,1),(1513,1),(2488,1),(3112,1),(3189,1)}
1183:{4,5}:{(896,1),(950,1),(1412,1),(1514,1),(2215,1),(2488,1),(3189,1),(3436,1),(4060,1),(4526,1)}
1184:{1,4,6,7}:{(822,1),(889,1),(897,1),(940,1),(1355,1),(1446,1),(1501,1),(2227,1),(3308,1)}
1185:{1,4,6}:{(823,1),(898,1),(951,1),(1447,1),(1503,1),(1513,1),(2211,1),(3191,1),(4409,1)}
1186:{1,4,7}:{(824,1),(953,1),(1410,1),(1448,1),(1517,1),(1533,1),(1605,1),(1606,1),(1638,1),(1639,1),(2069,1),(2140,1),(2214,1),(3436,1),(4289,1),(4532,1)}
1187:{1,6,7}:{(825,1),(900,1),(901,1),(1518,1),(1534,1),(3097,1)}
1188:{1,5,7}:{(810,1),(902,1),(914,1),(1369,1),(1518,1)}
1189:{1,5,7}:{(826,1),(903,1),(904,1),(1367,1),(1520,1),(2135,1)}
1190:{1,5,6}:{(827,1),(907,1),(910,1),(1503,1),(1519,1),(1524,1),(1526,1),(1634,1),(1635,1),(2125,1),(2330,1),(5562,1)}
1191:{1,5,7}:{(828,1),(905,1),(906,1),(1364,1),(6438,1)}
1192:{1,5,7}:{(829,1),(907,1),(913,1),(1503,1),(1523,1),(1635,1),(1636,1),(1640,1),(1642,1),(2123,1),(2436,1),(3174,1),(3432,1),(5546,1)}
1193:{1,4,7}:{(830,1),(903,1),(908,1),(1366,1),(1539,1),(1576,1)}
1194:{1,5,7}:{(831,1),(909,1),(912,1),(1364,1),(1521,1),(1525,1)}
1195:{1,5}:{(832,1),(911,1),(1526,1)}
1196:{1,4,6,7}:{(833,1),(892,1),(910,1),(918,1),(1510,1),(1524,1),(1528,1),(1579,1),(2330,1),(2338,1),(2387,1),(3308,1),(3323,1),(6438,1)}
1197:{1,4,6}:{(834,1),(911,1),(919,1),(1519,1),(1526,1),(1528,1),(1529,1),(1580,1),(2326,1),(2330,1)}
1198:{1,4,6}:{(835,1),(912,1),(941,1),(1521,1),(1525,1),(1531,1),(1547,1),(2341,1)}
1199:{1,4,7}:{(836,1),(911,1),(952,1),(1527,1),(1532,1),(1533,1),(4018,1)}
1200:{3,6,7}:{(899,1),(915,1),(999,1),(1001,1),(1510,1),(3283,1),(4159,1)}
1201:{3,6}:{(900,1),(917,1),(1511,1)}
1202:{3,5,7}:{(901,1),(916,1),(924,1),(1371,1),(1512,1),(1534,1),(2200,1),(3283,1),(4159,1)}
1203:{1,3,7}:{(838,1),(903,1),(919,1),(1528,1),(3225,1)}
1204:{1,3,5}:{(839,1),(904,1),(919,1),(1374,1),(1519,1),(1529,1),(4311,1)}
1205:{1,3,6,7}:{(840,1),(905,1),(920,1),(1433,1),(1446,1),(1537,1),(1539,1),(2310,1),(3097,1),(3443,1),(4137,1)}
1206:{1,3,5,6}:{(841,1),(906,1),(920,1),(1003,1),(1004,1),(1375,1),(1431,1),(1537,1),(1543,1),(2071,1),(2147,1),(2331,1),(3073,1),(3097,1),(3346,1),(3484,1),(3486,1),(4311,1),(5244,1)}
1207:{1,3,5}:{(842,1),(907,1),(923,1),(1544,1),(1640,1),(1642,1),(2147,1),(2446,1),(3320,1),(3486,1),(4526,1),(4555,1),(5244,1)}
1208:{1,3,6}:{(843,1),(908,1),(921,1),(1372,1),(1539,1),(3347,1),(4229,1)}
1209:{1,3,5}:{(844,1),(909,1),(921,1),(1375,1),(1546,1),(2147,1),(3486,1),(5244,1)}
1210:{1,3,4,6}:{(845,1),(910,1),(920,1),(922,1),(1434,1),(1447,1),(1517,1),(1536,1),(1543,1),(1594,1),(1614,1),(1615,1),(1632,1),(1633,1),(2082,1),(2199,1),(2211,1),(2239,1),(2243,1),(2252,1),(2309,1),(2327,1),(2331,1),(2356,1),(2360,1),(2362,1),(2441,1),(2472,1),(3004,1),(3071,1),(3097,1),(3098,1),(3175,1),(3178,1),(3191,1),(3203,1),(3211,1),(3222,1),(3227,1),(3304,1),(3315,1),(3325,1),(3326,1),(3331,1),(3335,1),(3346,1),(3347,1),(3423,1),(3449,1),(3484,1),(3486,1),(4027,1),(4152,1),(4154,1),(4164,1),(4195,1),(4229,1),(4305,1),(4314,1),(4319,1),(4324,1),(4327,1),(4328,1),(4331,1),(4398,1),(4408,1),(4409,1),(4415,2),(4431,1),(4505,1),(4538,1),(5132,1),(5178,1),(5195,1),(5197,1),(5252,1),(5284,1),(5286,1),(5304,1),(5330,1),(5459,1),(5477,1),(5547,1),(5563,1),(5572,1),(5660,3),(6248,1),(6289,2),(6299,1),(6330,1),(6410,1),(6413,1),(7300,2),(7489,1),(7606,1),(7703,1),(8169,1),(8353,1),(8830,1),(9523,1)}
1211:{1,3,4}:{(846,1),(911,1),(921,1),(1533,1),(1541,1),(1546,1),(1595,1),(2349,1),(2431,1),(3486,1),(4229,1)}
1212:{1,3,7}:{(847,1),(912,1),(921,1),(1547,1),(3105,1)}
1213:{1,3,4,6,7}:{(848,1),(913,1),(923,1),(1006,1),(1007,1),(1434,1),(1447,1),(1538,1),(1548,1),(1597,1),(1613,1),(1614,1),(1646,1),(1647,1),(2080,1),(2151,1),(2211,1),(2246,1),(2329,1),(2356,1),(2357,1),(2360,1),(2362,1),(3097,1),(3204,1),(3213,1),(3227,1),(3335,1),(3336,1),(3353,1),(3443,1),(3486,1),(4120,1),(4195,1),(4328,1),(4415,1),(4532,1),(5304,1),(5327,1),(5481,1),(5660,1),(5679,1),(7489,1)}
1214:{1,2,5,7}:{(851,1),(885,1),(926,1),(927,1),(1378,1),(1404,1),(1451,1),(1461,1),(1486,1),(1501,1),(1550,1),(2257,1),(2333,1),(2405,1),(2992,1),(2999,1),(3041,1),(3067,1),(3173,1),(3236,1),(3264,1),(3383,1),(4063,1),(4457,1),(5495,1),(5543,1),(5546,1),(6438,1),(6439,1)}
1215:{1,2,5,6}:{(852,1),(886,1),(930,1),(933,1),(1449,1),(1487,1),(1551,1),(1553,1),(1555,1),(1557,1),(1560,1),(2254,1),(2380,1),(2453,1),(3034,1),(3267,1),(3320,1),(3390,1),(3453,1),(4081,1),(4415,1),(4526,1),(5495,1),(5660,1),(6346,1),(6612,1)}
1216:{1,2,5,7}:{(853,1),(887,1),(928,1),(929,1),(1379,1),(1488,1),(1552,1),(1559,1),(1599,1),(1600,1),(2162,1),(2200,1),(2373,1),(2423,1),(2480,1),(3040,1),(3075,1),(3240,1),(3475,2),(4339,1),(5679,1),(6346,1),(7387,1)}
1217:{1,2,5,7}:{(854,1),(888,1),(930,1),(936,1),(1489,1),(1551,1),(1561,1),(2162,1),(2255,1),(2457,1),(2491,1),(3475,1),(6346,1)}
1218:{1,2,4,7}:{(855,1),(889,1),(928,1),(931,1),(1377,1),(1410,1),(1490,1),(1576,1),(2069,1),(2347,1),(3119,1),(4079,1),(5390,1)}
1219:{1,2,4,5,7}:{(856,1),(890,1),(932,1),(935,1),(1009,1),(1010,1),(1379,1),(1491,1),(1504,1),(1554,1),(1556,1),(1563,1),(1577,1),(1605,1),(1606,1),(1655,1),(1656,1),(2158,1),(2162,1),(2182,1),(2205,1),(2214,1),(2283,1),(2348,1),(2375,1),(2427,1),(2434,1),(2436,1),(2456,1),(2457,1),(2488,1),(2491,1),(2492,1),(2495,1),(2496,1),(2985,1),(2997,1),(3027,1),(3040,1),(3075,1),(3120,1),(3145,1),(3180,1),(3189,1),(3244,1),(3269,1),(3319,1),(3371,2),(3394,1),(3408,1),(3433,1),(3436,1),(3473,1),(3474,1),(3475,1),(3477,1),(3482,1),(3486,1),(4060,1),(4066,1),(4078,1),(4127,1),(4144,1),(4190,1),(4210,1),(4231,1),(4289,2),(4339,1),(4402,1),(4526,1),(4530,1),(4532,1),(4534,1),(4536,1),(4555,1),(5149,1),(5208,1),(5275,1),(5352,1),(5356,1),(5363,1),(5391,1),(5432,2),(5434,1),(5495,1),(5544,1),(5546,1),(5554,1),(5610,1),(5679,1),(6302,1),(6346,5),(6474,1),(6479,1),(6486,1),(6521,1),(6576,1),(6658,1),(7322,1),(7327,1),(7383,1),(7387,1),(7406,1),(7535,1),(7584,1),(8197,1)}
1220:{1,2,4,5}:{(857,1),(891,1),(930,1),(934,1),(1412,1),(1454,1),(1492,1),(1555,1),(1557,1),(1564,1),(1567,1),(1578,1),(2203,1),(2215,1),(2324,1),(2326,1),(2349,1),(2379,1),(2393,1),(2398,1),(2428,1),(2488,1),(2491,1),(3119,1),(3129,1),(3130,1),(3249,1),(3311,1),(3320,1),(3433,1),(3436,1),(3482,1),(3486,1),(4033,1),(4079,1),(4499,1),(4526,1),(4555,1),(5297,1),(5390,1),(5495,1),(6346,1),(6658,1)}
1221:{1,2,7}:{(858,1),(892,1),(933,1),(1493,1),(1559,1),(5495,1)}
1222:{2,6}:{(893,1),(1011,1),(1013,1),(1559,1)}
1223:{2,5}:{(894,1),(1012,1),(1013,1),(4526,1)}
1224:{1,2,4,6}:{(859,1),(895,1),(933,1),(934,1),(1380,1),(1381,1),(1467,1),(1496,1),(1555,1),(1562,1),(1580,1),(2110,1),(2166,1),(2194,1),(2215,1),(2283,1),(2326,1),(2380,1),(2410,1),(3034,1),(3039,1),(3043,1),(3119,1),(3130,1),(3191,1),(3249,1),(3267,1),(3308,1),(3390,1),(4079,1),(4347,1),(4409,1),(4499,1),(5390,1),(5495,4),(5634,1),(6346,1),(6349,1),(6612,1),(6658,1),(7532,1)}
1225:{2,4}:{(896,1),(1011,1),(1013,1),(1497,1),(2283,1),(2488,1),(6346,1)}
1226:{1,2,4,6}:{(860,1),(897,1),(935,1),(942,1),(1498,1),(1517,1),(1554,1),(1566,1),(2214,1),(2283,1),(3308,1),(4195,1),(5495,1),(6346,1)}
1227:{1,2,4,7}:{(861,1),(898,1),(934,1),(944,1),(1499,1),(1563,1),(1567,1),(1568,1),(2283,1),(2326,1),(2387,1),(2410,1),(2427,1),(2488,1),(3119,1),(3486,1),(5495,1),(6346,1),(6658,1)}
1228:{1,2,4,7}:{(863,1),(954,1),(994,1),(995,1),(1500,1),(1549,1),(1584,1),(3306,1),(3336,1),(3385,1),(3475,1),(4532,1),(5679,1),(6346,1)}
1229:{1,2,6}:{(864,1),(900,1),(939,1),(1507,1),(1518,1),(1585,1),(1632,1),(2199,1),(3072,1),(3097,1),(3267,1),(4415,1),(5660,1)}
1230:{1,2,5,7}:{(865,1),(901,1),(938,1),(945,1),(1508,1),(1570,1),(1586,1),(1599,1),(1600,1),(2200,1),(2319,1),(2480,1),(3099,1),(3422,1),(3475,1),(5679,1)}
1231:{1,2,5,6}:{(850,1),(902,1),(947,1),(1393,1),(1509,1),(1518,1),(1555,1),(1571,1),(2380,1),(3034,1),(3072,1),(3073,1),(3132,1),(3133,1),(3267,1),(3320,1),(3390,1),(4081,1),(4090,1),(4133,1),(4196,1),(4201,1),(4203,1),(4415,1),(4526,1),(5495,1),(5660,1),(6346,1),(6348,1),(6612,1),(7383,1),(7474,1)}
1232:{1,2,6,7}:{(866,1),(903,1),(941,1),(1520,1),(1530,1),(1572,1),(1576,1),(2171,1),(3395,1)}
1233:{1,2,5}:{(867,1),(904,1),(941,1),(1384,1),(1521,1),(1531,1)}
1234:{1,2,6,7}:{(868,1),(905,1),(928,1),(942,1),(1574,1),(1576,1),(2423,1),(2993,1),(3475,1)}
1235:{1,2,5,6}:{(869,1),(906,1),(942,1),(1014,1),(1015,1),(1386,1),(1554,1),(1566,1),(1574,1),(2180,1),(2993,1),(3408,1),(3484,1),(3486,1),(5154,1)}
1236:{1,2,5}:{(870,1),(907,1),(946,1),(1567,1),(3486,1)}
1237:{1,2,6}:{(871,1),(908,1),(943,1),(1387,1),(1576,1),(5390,1)}
1238:{1,2,5}:{(872,1),(909,1),(943,1),(1386,1),(1582,1),(2180,1),(3486,1),(5297,1),(5390,1)}
1239:{1,2,6}:{(873,1),(910,1),(944,1),(1652,1),(1654,1)}
1240:{1,2}:{(874,1),(911,1)}
1241:{1,2,4,7}:{(875,1),(912,1),(943,1),(1533,1),(1576,1),(1577,1),(1581,1),(1582,1),(1596,1),(2175,1),(2347,1),(2348,1),(2412,1),(2427,1),(3486,1),(5363,1),(5390,1),(6346,1),(6531,1),(6658,1),(7535,1)}
1242:{1,2,4,6,7}:{(876,1),(913,1),(936,1),(946,1),(1551,1),(1567,1),(1568,1),(1575,1),(1579,1),(1583,1),(1584,1),(1597,1),(1653,1),(1654,1),(2165,1),(2211,1),(2329,1),(2371,1),(2386,1),(2387,1),(2400,1),(2401,1),(2406,1),(2458,1),(2488,1),(3306,1),(3308,1),(3335,1),(3336,1),(3377,1),(3385,1),(3398,1),(3455,1),(3475,1),(3486,1),(4195,1),(4415,1),(4499,1),(4530,1),(4532,1),(5495,1),(5634,1),(5636,1),(5660,1),(5679,1),(6346,1),(6438,1),(6658,1)}
1243:{1,2,4,7}:{(862,1),(914,1),(945,1),(947,1),(1398,1),(1399,1),(1508,1),(1571,1),(2131,1),(3321,1),(3336,1),(3385,1),(3422,1),(3475,1),(4401,1),(4532,1),(5166,1),(5222,1),(5300,1),(5379,1),(5404,1),(5495,1),(5679,1),(6438,1),(7492,1)}
1244:{2,3,6}:{(937,1),(949,1),(999,1),(1001,1),(1437,1),(1513,1),(1652,1),(1654,1),(5143,1)}
1245:{2,3,5,6}:{(916,1),(938,1),(950,1),(955,1),(1395,1),(1438,1),(1514,1),(1560,1),(1585,1),(1586,1),(1609,1),(2085,1),(2118,1),(2240,1),(2307,1),(2321,1),(2453,1),(3056,1),(3267,1),(3453,1),(3458,1),(4060,1),(4526,1),(4538,1),(5244,1),(5660,1),(6346,1)}
1246:{2,3,5,7}:{(917,1),(939,1),(950,1),(956,1),(1369,1),(1371,1),(1439,1),(1515,1),(1561,1),(1585,1),(1612,1),(2076,1),(2159,1),(2162,1),(2255,1),(2457,1),(3091,1),(3199,1),(3414,1),(4159,1),(4243,1),(4511,1),(5407,1),(5546,1)}
1247:{1,2,3,6,7}:{(878,1),(918,1),(940,1),(948,1),(951,1),(1389,1),(1391,1),(1446,1),(1516,1),(1518,1),(1570,1),(1579,1),(2112,1),(2144,1),(2166,1),(2199,1),(2243,1),(2246,1),(2296,1),(2313,1),(2330,1),(2338,1),(2380,1),(3147,1),(3196,1),(3315,1),(3413,1),(4085,1),(4415,1),(4478,1),(4505,1),(4511,1),(5476,1),(5634,1),(5660,1),(6438,1)}
1248:{1,2,3,6}:{(879,1),(919,1),(941,1),(952,1),(1532,1),(1547,1),(1580,1),(1588,1),(3072,1),(3166,1),(3347,1),(3390,1)}
1249:{1,2,3,6}:{(880,1),(920,1),(942,1),(953,1),(1498,1),(1517,1),(1622,1),(1624,1),(1631,1),(1632,1),(2112,1),(2199,1),(2239,1),(2331,1),(3315,1),(3458,1),(4374,1),(5660,1)}
1250:{1,2,3}:{(881,1),(921,1),(943,1),(1533,1)}
1251:{1,2,3,5,7}:{(882,1),(922,1),(944,1),(954,1),(1489,1),(1493,1),(1499,1),(1549,1),(1569,1),(1591,1),(1594,1),(1595,1),(1625,1),(1626,1),(1664,1),(1665,1),(2120,1),(2191,1),(2255,1),(2283,1),(2294,1),(2295,1),(2299,1),(2372,1),(2398,1),(2418,1),(2423,1),(2425,1),(2426,1),(2427,1),(2457,1),(2462,1),(2467,1),(2468,1),(2491,1),(3038,1),(3053,1),(3131,1),(3145,1),(3146,1),(3244,1),(3268,1),(3289,1),(3295,1),(3297,1),(3298,1),(3371,1),(3384,1),(3385,1),(3393,1),(3394,1),(3408,1),(3414,1),(3415,1),(3428,1),(3462,1),(3475,1),(3486,1),(4120,1),(4123,1),(4204,1),(4229,1),(4240,1),(4241,1),(4257,1),(4328,1),(4339,1),(4367,1),(4371,1),(4381,1),(4387,1),(4490,1),(4499,2),(4510,1),(4511,1),(4513,1),(4555,1),(4564,1),(5146,1),(5154,1),(5244,1),(5246,1),(5264,1),(5297,1),(5390,1),(5391,1),(5404,1),(5405,1),(5495,4),(5504,1),(5509,1),(5527,1),(5535,1),(5544,1),(5546,1),(5610,1),(5628,1),(5630,1),(5636,1),(5679,1),(6243,1),(6248,1),(6346,6),(6380,1),(6402,1),(6438,1),(6478,1),(6479,1),(6521,1),(6561,1),(6648,1),(7260,1),(7383,2),(7387,2),(7489,1),(7532,1),(7535,1),(7545,1),(8134,2),(8854,1),(9278,1),(9523,1)}
1252:{1,2,3,6}:{(883,1),(923,1),(946,1),(954,1),(1584,1),(1591,1),(1595,1),(1665,1),(1666,1),(2193,1),(2467,1),(3222,1),(3458,1),(3486,1),(4499,1),(4564,1),(6346,1)}
1253:{2,3,7}:{(924,1),(945,1),(955,1),(1397,1),(1559,1),(1599,1),(1600,1),(2216,1)}
1254:{4,6}:{(958,1),(1449,1),(1598,1),(1608,1)}
1255:{6}:{(959,1),(1599,1)}
1256:{2,6}:{(957,1),(1401,1),(1600,1)}
1257:{4}:{(981,1)}
1258:{3,4,6}:{(983,1),(1412,1),(1601,1),(1604,1),(1637,1),(2206,1),(2211,1),(2253,1),(3188,1),(3193,1),(3212,1),(3222,1),(3440,1),(4288,1),(4310,1),(4538,1),(5443,1),(6289,1),(7322,1)}
1259:{4}:{(982,1)}
1260:{3,5}:{(958,1),(963,1),(1640,1)}
1261:{2,3,5}:{(957,1),(965,1),(1400,1),(1415,1),(1602,1),(1641,1),(2062,1),(2238,1),(2263,1),(2434,1),(2448,1),(3244,1),(4526,2),(4527,1),(5432,1),(5488,1)}
1262:{3,5}:{(959,1),(964,1),(1400,1),(1603,1),(1642,1),(2436,1),(4526,1)}
1263:{3,6}:{(966,1),(988,1)}
1264:{3,6,7}:{(967,1),(989,1),(1434,1),(3443,1),(5660,1)}
1265:{3,6}:{(968,1),(987,1),(2199,1),(5660,1)}
1266:{3,4,7}:{(967,1),(970,1),(991,1),(1627,1),(1647,1),(2437,1),(3204,1),(3443,1),(4532,1)}
1267:{3,4,5,7}:{(968,1),(971,1),(992,1),(1440,1),(1444,1),(1606,1),(1615,1),(1625,1),(1648,1),(2076,1),(2205,1),(2241,1),(2244,1),(2434,1),(2449,1),(3011,1),(3027,1),(3189,1),(3192,1),(3221,1),(3283,1),(3285,1),(3351,1),(3435,1),(3447,1),(4054,1),(4060,1),(4120,1),(4168,1),(4289,1),(4296,1),(4328,1),(4445,1),(4536,1),(5174,1),(5244,1),(5352,1),(5432,1),(5472,1),(5546,1),(6247,1),(6301,1),(6302,1),(6486,1),(6576,1),(6699,1),(7348,1),(7489,1),(7584,1),(8126,1)}
1268:{3,4,7}:{(966,1),(969,1),(990,1),(1605,1),(1614,1),(1626,1),(1646,1)}
1269:{3,4,7}:{(964,1),(986,1),(995,1),(1410,1),(1599,1),(1605,1),(1612,1),(2216,1),(2437,1),(3440,1),(3443,1),(4532,1)}
1270:{3,4,7}:{(963,1),(985,1),(994,1),(1598,1),(1611,1),(2253,1),(4120,1)}
1271:{2,3,4,7}:{(965,1),(984,1),(993,1),(1410,1),(1448,1),(1600,1),(1606,1),(1610,1),(2068,1),(2216,1),(2269,1),(2438,1),(2467,1),(3170,1),(3262,1),(3295,1),(3436,1),(3442,1),(4289,1),(4339,1),(4532,2),(4533,1),(5500,1)}
1272:{4,5,7}:{(976,1),(979,1),(1463,1),(1464,1),(1603,1),(1605,1),(1616,1),(2214,1),(2436,1),(2437,1),(2488,1),(2997,1),(3023,1),(3027,1),(3180,1),(3189,1),(3433,1),(3436,1),(4060,1),(4073,1),(4289,1),(4526,1),(4530,1),(4532,1),(4534,1),(5224,1),(5432,1),(6302,1),(6338,1),(6350,1),(7322,1),(7327,1),(8197,1),(9245,1)}
1273:{3,4,5,7}:{(977,1),(980,1),(1465,1),(1601,1),(1604,1),(1657,1),(2279,1),(2288,1),(2312,1),(2489,1),(3199,1),(3212,1),(5434,1),(5448,1),(6315,1),(6338,1),(6350,1),(6569,1),(6749,1),(7257,1),(7271,1),(7317,1),(7322,1),(7327,1),(7389,1),(8121,1),(8197,1),(8793,1),(9245,1),(9523,1)}
1274:{4,5,7}:{(975,1),(978,1),(1463,1),(1464,1),(1602,1),(1606,1),(1617,1),(2209,1),(2210,1),(2214,1),(2434,1),(2438,1),(2997,1),(3173,1),(3180,1),(3184,1),(3189,1),(3190,1),(4033,1),(4270,1),(4289,1),(4536,1),(5166,1),(5224,1),(5432,1),(5440,1),(5546,1),(6338,1),(6350,1),(6570,1),(6576,1),(7322,1),(7584,1)}
1275:{2,3,5,6,7}:{(962,1),(972,1),(980,1),(1471,1),(1608,1),(1618,1),(1623,1),(1659,1),(2258,1),(2272,1),(2282,1),(2452,1),(3233,1),(3281,1),(4337,1),(4366,1),(4371,1),(5244,1),(5487,1),(5489,2),(5490,1),(5495,1),(5504,1),(5509,1),(5510,1),(5512,1),(5520,1),(5521,1),(5660,1),(6346,1),(6371,1),(6607,1),(6612,1),(6618,1),(6619,1),(6626,1),(6638,1),(7361,1),(7387,1),(7427,1),(7584,1),(7610,1),(8197,1),(8237,1),(8239,1)}
1276:{2,3,5,6}:{(960,1),(974,1),(979,1),(1457,1),(1474,1),(1609,1),(1616,1),(1622,1),(1658,1),(2103,1),(2199,1),(2436,1),(2453,1),(2465,1),(3006,1),(3056,1),(3118,1),(3171,1),(3215,1),(3239,1),(3453,1),(3458,1),(4060,1),(4111,1),(4340,1),(4374,1),(4526,1),(4538,1),(5244,1),(5432,1),(5504,1),(5660,3),(5661,1),(6346,1),(6566,1),(6607,1),(7361,1),(7427,1),(8197,1),(8237,1)}
1277:{2,3,5,6}:{(961,1),(973,1),(978,1),(1457,1),(1474,1),(1617,1),(1624,1),(1660,1),(2103,1),(2199,1),(2256,1),(2273,1),(2434,1),(2466,1),(3006,1),(3171,1),(3173,1),(3215,1),(3239,1),(3254,1),(3258,1),(4081,1),(4269,1),(4290,1),(4311,1),(4340,1),(4374,1),(5178,1),(5432,1),(5467,1),(5489,1),(5495,1),(5660,3),(5661,1),(6566,1),(6607,1),(6612,1),(6638,1),(7584,1)}
1278:{2,3,5,7}:{(968,1),(981,1),(984,1),(1010,1),(1606,1),(1624,1),(2434,1),(3414,1),(4511,1),(5546,1)}
1279:{2,3,5,7}:{(966,1),(982,1),(986,1),(1009,1),(1605,1),(1612,1),(1622,1),(1626,1),(2436,1),(2457,1),(2462,1)}
1280:{2,3,5,7}:{(967,1),(983,1),(985,1),(1008,1),(1604,1),(1611,1),(1623,1),(1627,1),(2301,1),(2312,1),(2435,1),(3199,1),(3291,1),(3298,1),(4120,1),(4315,1),(4371,1),(4377,1),(5244,1),(5259,1),(5448,1),(5481,1),(5512,1),(5677,1),(6315,1),(6346,1),(6371,1),(6402,1),(6749,1),(7271,1),(7387,1),(7489,1),(8323,1),(9523,1)}
1281:{2,3,5}:{(971,1),(1011,1),(1494,1),(1497,1),(1619,1),(1664,1),(2263,1),(2283,1),(2468,1),(3244,1),(3269,1),(3297,1),(4368,1),(5495,1),(6346,2),(7383,1),(8134,1)}
1282:{2,3,6}:{(970,1),(1012,1),(1495,1),(1627,1),(1666,1),(2453,1),(3267,1),(6346,1)}
1283:{2,3}:{(969,1),(1013,1),(1620,1),(1665,1),(2283,1),(6346,1)}
1284:{1,2,5,7}:{(957,1),(993,1),(1504,1),(1600,1),(1610,1),(1631,1),(1641,1),(2457,1),(2491,1),(3038,1),(3075,1),(3131,1),(3244,1),(3475,1),(4204,1),(4339,1),(5544,1)}
1285:{1,4,5,7}:{(958,1),(994,1),(1549,1),(1598,1),(1611,1),(1633,1),(1640,1),(2208,1),(2324,1),(2481,1),(3306,1)}
1286:{1,5,7}:{(959,1),(995,1),(1599,1),(1612,1),(1632,1),(1642,1),(4555,1),(5679,1)}
1287:{4,6}:{(990,1),(1001,1),(1635,1),(1654,1),(2488,1)}
1288:{4,6,7}:{(991,1),(1000,1),(1511,1),(1636,1),(2211,1),(4532,1),(5660,1)}
1289:{4,6}:{(992,1),(999,1),(1634,1),(1652,1),(5143,1)}
1290:{1,5,6,7}:{(962,1),(989,1),(998,1),(1523,1),(1636,1),(2319,1),(2338,1),(2480,1),(3068,1),(3432,1),(5660,1)}
1291:{1,5,6}:{(960,1),(988,1),(996,1),(1525,1),(1635,1),(2436,1),(3097,1)}
1292:{1,5,6}:{(961,1),(987,1),(997,1),(1525,1),(1634,1),(2330,1),(2331,1),(2434,1),(3171,1),(3315,1),(5143,1),(5660,1)}
1293:{1,2,4,6}:{(965,1),(993,1),(1021,1),(1517,1),(1533,1),(1631,1),(1638,1),(1641,1),(2141,1),(2331,1),(2412,1),(2458,1),(2470,1),(3043,1),(3389,1),(4408,1)}
1294:{1,4,6}:{(963,1),(994,1),(1020,1),(1640,1),(2211,1)}
1295:{1,4,6}:{(964,1),(995,1),(1022,1),(1533,1),(1632,1),(1639,1),(1642,1),(2331,1)}
1296:{1,3,5,7}:{(967,1),(998,1),(1002,1),(1007,1),(1647,1),(2357,1),(2480,1),(3099,1),(3443,1),(5679,1)}
1297:{1,3,5,7}:{(968,1),(997,1),(1003,1),(1005,1),(1431,1),(1644,1),(1648,1),(2072,1),(2238,1),(2241,1),(2242,1),(2244,1),(2316,1),(2350,1),(2434,1),(3001,1),(3075,1),(3087,1),(3090,1),(3216,1),(3221,1),(3319,1),(3447,1),(4120,1),(4168,1),(4311,1),(4328,1),(4391,1),(4413,1),(4414,1),(5244,3),(5327,1),(5432,1),(5472,1),(5544,1),(5546,1),(5562,1),(6307,1),(6371,1),(6448,1),(6486,1),(7489,1),(7584,1)}
1298:{1,3,5,7}:{(966,1),(996,1),(1004,1),(1006,1),(1431,1),(1643,1),(1646,1),(2072,1),(3486,1),(5244,1)}
1299:{1,4,5}:{(971,1),(1003,1),(1543,1),(1546,1),(1638,1),(1664,1),(2147,1),(3014,1),(3113,1),(3129,1),(3486,1),(4430,1),(4555,1),(8169,1)}
1300:{1,4,6}:{(970,1),(1002,1),(1544,1),(1647,1),(1666,1),(3486,1)}
1301:{1,4}:{(969,1),(1004,1),(1665,1)}
1302:{1,2,6}:{(973,1),(987,1),(1010,1),(1624,1),(1652,1),(2199,1),(3239,1),(5660,1)}
1303:{1,2,4,6,7}:{(972,1),(989,1),(1008,1),(1551,1),(1623,1),(1633,1),(1653,1),(1659,1),(2211,1),(2371,1),(2386,1),(2477,1),(2499,1),(3123,1),(3175,1),(3181,1),(3233,1),(3245,1),(3306,1),(3372,1),(3377,1),(3455,1),(3475,1),(3480,1),(4195,1),(4246,1),(4396,1),(4415,1),(4463,1),(4464,1),(4530,1),(4532,1),(5336,1),(5445,1),(5489,1),(5660,4),(5662,1),(5679,1),(6346,1),(6413,1),(6607,1),(6658,1),(6708,1),(6746,1),(7387,1),(7642,1),(7703,1)}
1304:{1,2,6}:{(974,1),(988,1),(1009,1),(1622,1),(1632,1),(1654,1),(2199,1),(5660,1)}
1305:{2,5,7}:{(992,1),(1011,1),(1559,1),(1563,1),(1652,1),(2375,1),(4243,1),(5407,1)}
1306:{2,4,7}:{(991,1),(1012,1),(1561,1),(1627,1),(2488,1),(4532,1)}
1307:{2,7}:{(990,1),(1013,1),(1654,1)}
1308:{1,4}:{(975,1),(1014,1),(1629,1),(2488,1),(3486,1)}
1309:{1,4,6}:{(977,1),(1016,1),(1567,1),(1630,1),(1657,1),(3486,1),(4415,1),(5660,1),(6531,1),(6658,1),(7703,1),(8353,1)}
1310:{1,4}:{(976,1),(1015,1),(1628,1)}
1311:{1,2,5,7}:{(979,1),(996,1),(1015,1),(1018,1),(1554,1),(1642,1),(1656,1),(1658,1),(2180,1),(2316,1),(2436,1),(2480,1),(2491,1),(2987,1),(3075,1),(3133,1),(3319,1),(3408,1),(3473,1),(3475,1),(3486,1),(4231,1),(4526,1),(4555,1),(5154,1),(5432,1),(5544,1),(5673,1),(5679,1),(6346,1),(6408,1),(6474,1),(6521,1),(7524,1),(8197,1),(9278,1)}
1312:{1,2,5,7}:{(980,1),(998,1),(1016,1),(1017,1),(1640,1),(1657,1),(2401,1),(2493,1),(4499,1),(6408,1),(6438,1),(6474,1),(6662,1),(6663,1),(8197,1),(8854,1),(9278,1)}
1313:{1,2,5,7}:{(978,1),(997,1),(1014,1),(1019,1),(1554,1),(1641,1),(1655,1),(1660,1),(2180,1),(2316,1),(2373,1),(2375,1),(2396,1),(2434,1),(2987,1),(3075,1),(3235,1),(3319,1),(3388,1),(3408,1),(3474,1),(4391,1),(4413,1),(5149,1),(5154,1),(5297,1),(5432,1),(5495,1),(5542,1),(5544,1),(5546,1),(5562,1),(6438,1),(6474,1),(6486,1),(7289,1),(7524,1),(7584,1)}
1314:{1,2,3,5}:{(982,1),(1004,1),(1015,1),(1022,1),(1628,1),(1639,1),(1642,1),(1665,1),(2446,1),(2467,1),(2491,1)}
1315:{1,2,3,5,6}:{(983,1),(1002,1),(1016,1),(1020,1),(1591,1),(1630,1),(1637,1),(1640,1),(1661,1),(1666,1),(2394,1),(2420,1),(2447,1),(2469,1),(2484,1),(2493,1),(3153,1),(3222,1),(3320,1),(3412,1),(3458,1),(3480,1),(3486,1),(4266,1),(4415,1),(4438,1),(4499,1),(4514,1),(4526,1),(4555,1),(4564,1),(5244,1),(5629,1),(5645,1),(5660,1),(5685,1),(6346,1),(6662,1),(6752,1),(7427,1),(7703,1),(8197,1)}
1316:{1,2,3,5}:{(981,1),(1003,1),(1014,1),(1021,1),(1629,1),(1638,1),(1641,1),(1664,1),(2448,1),(2462,1),(2468,1),(3053,1),(3289,1),(3408,1),(3486,1),(4229,1),(4328,1),(4555,1),(4564,1),(5154,1),(5297,1),(5390,1),(6248,1)}
1317:{1,2,3,6,7}:{(986,1),(1006,1),(1018,1),(1022,1),(1498,1),(1596,1),(1622,1),(1628,1),(1649,1),(1663,1),(2113,1),(2187,1),(2198,1),(2310,1),(2419,1),(2465,1),(2467,1),(3157,1),(3167,1),(3295,1),(3443,1),(3455,1),(3458,1),(3464,1),(3475,1),(3478,1),(3486,1),(4120,1),(4328,1),(4339,1),(4374,1),(4487,1),(4510,1),(4553,1),(4564,1),(5259,1),(5327,1),(5404,1),(5660,1),(6248,1),(6346,1),(6390,1),(6402,1),(7271,1),(7300,1),(7387,1),(7427,1),(7489,1),(7703,1),(9523,1)}
1318:{1,2,3,6,7}:{(985,1),(1007,1),(1017,1),(1020,1),(1623,1),(1630,1),(1650,1),(1661,1),(2371,1),(2469,1),(3480,1),(4246,1),(4415,1),(5585,1),(5645,1),(5660,1),(5679,1),(6346,1),(6390,1),(6402,1),(6561,1),(7271,1),(7387,1),(7427,1),(7703,1),(9523,1)}
1319:{1,2,3,6,7}:{(984,1),(1005,1),(1019,1),(1021,1),(1498,1),(1596,1),(1624,1),(1629,1),(1662,1),(2113,1),(2187,1),(2198,1),(2283,1),(2303,1),(2306,1),(2310,1),(2313,1),(2419,1),(2423,1),(2426,1),(2427,1),(2432,1),(2466,1),(2497,1),(3040,1),(3147,1),(3148,1),(3157,1),(3225,1),(3283,1),(3295,1),(3413,1),(3424,1),(3442,1),(3465,1),(3484,1),(3486,1),(4229,1),(4251,1),(4323,1),(4328,1),(4339,1),(4374,1),(4487,1),(4490,1),(4505,1),(4510,1),(4511,1),(5415,1),(5476,1),(5495,1),(5535,1),(5563,1),(5634,1),(5679,2),(6248,1),(6346,3),(6390,1),(6438,1),(6638,1),(7270,1),(7271,1),(7300,1),(7303,1),(7387,1),(7535,1),(7577,1)}
1320:{5,6}:{(1024,1),(1080,1),(1776,1)}
1321:{5}:{(1026,1)}
1322:{5,6,7}:{(1023,1),(1080,1),(1081,1),(1774,1),(1775,1),(3514,1)}
1323:{5,7}:{(1025,1),(1081,1)}
1324:{3,6,7}:{(1025,1),(1030,1),(1099,1),(1668,1),(1727,1)}
1325:{3,6,7}:{(1023,1),(1028,1),(1099,1),(1728,1),(1786,1),(2689,1),(5690,1),(6106,1)}
1326:{3,4,6}:{(1024,1),(1029,1),(1094,1),(1669,1),(1677,1),(1691,1),(1729,1),(1786,1),(1799,1),(2525,1),(2528,1),(2679,1),(2689,1),(2695,1),(2846,1),(3762,1),(3880,1),(4743,1),(4860,1),(4981,1),(6106,1)}
1327:{3,4,6}:{(1026,1),(1027,1),(1094,1),(1667,1),(1675,1),(1693,1),(1730,1),(1799,1),(2508,1),(2524,1),(2530,1),(2846,1),(3629,1)}
1328:{3,5,7}:{(1032,1),(1043,1),(1113,1),(1677,1),(1684,1),(2533,1),(3576,1)}
1329:{3,5,7}:{(1034,1),(1045,1),(1113,1),(1678,1),(1683,1),(1813,1),(3881,1),(4629,1)}
1330:{3,7}:{(1031,1),(1046,1)}
1331:{3,7}:{(1033,1),(1044,1),(1675,1)}
1332:{3,4}:{(1032,1),(1048,1),(1672,1),(1709,1),(1795,1),(4860,1)}
1333:{3,4}:{(1033,1),(1049,1),(1673,1),(1680,1),(1710,1),(2546,1),(4860,1)}
1334:{3,4,6}:{(1031,1),(1050,1),(1120,1),(1679,1),(1686,1),(1707,1),(1740,1),(2539,1),(2544,1),(2946,1),(2947,1),(3539,1),(3583,1),(3743,1),(4695,1),(5745,1)}
1335:{3,4,6}:{(1034,1),(1047,1),(1120,1),(1681,1),(1683,1),(1708,1),(1739,1),(1795,1),(2525,1),(2699,1),(2850,1),(2946,1),(2947,1),(4860,1),(5745,1)}
1336:{2,6}:{(1024,1),(1037,1),(6106,1)}
1337:{2,4,6,7}:{(1025,1),(1035,1),(1128,1),(1131,1),(1690,1),(1692,1),(1773,1),(1837,1),(2506,1),(2668,1),(2940,1),(2942,1),(3517,1),(3774,1),(4916,1),(5798,1),(7102,1),(7131,1)}
1338:{2,6}:{(1026,1),(1036,1),(1688,1)}
1339:{2,4,6,7}:{(1023,1),(1038,1),(1128,1),(1131,1),(1687,1),(1694,1),(1773,1),(1825,1),(1837,1),(2679,1),(2730,1),(2940,1),(2942,1),(3546,1),(4916,1),(6106,1),(7131,1)}
1340:{2,3,7}:{(1030,1),(1035,1),(1039,1),(1698,1),(1757,1),(5754,1)}
1341:{2,3,5,7}:{(1029,1),(1037,1),(1041,1),(1146,1),(1691,1),(1697,1),(1755,1),(1854,1),(2501,1),(2662,1),(2748,1),(2756,1),(2758,1),(3501,1),(3562,1),(3962,1),(4678,1),(4828,1),(4831,1)}
1342:{2,3,7}:{(1027,1),(1036,1),(1040,1),(1693,1),(1695,1),(1756,1),(5752,1)}
1343:{2,3,5,7}:{(1028,1),(1038,1),(1042,1),(1146,1),(1694,1),(1696,1),(1758,1),(1850,1),(2503,1),(2753,1),(5754,1),(5985,1)}
1344:{3,4,6}:{(1039,1),(1137,1),(1152,1),(1698,1),(1700,1),(1762,1),(1880,1),(2513,1),(2724,1),(2946,1),(2947,1),(3743,1)}
1345:{3,4,6}:{(1042,1),(1137,1),(1152,1),(1696,1),(1699,1),(1759,1),(1782,1),(1880,1),(2679,1),(2680,1),(2721,1),(2946,1),(2947,1),(3762,1),(3763,1),(4860,1),(5800,1),(5819,1),(5949,1),(6014,1),(6761,1),(7124,1)}
1346:{2,4}:{(1041,1),(1105,1),(1672,1),(1782,1),(3848,1)}
1347:{2,4}:{(1040,1),(1105,1),(1673,1),(1702,1)}
1348:{2,3}:{(1033,1),(1064,1),(1673,1)}
1349:{2,3,5,6}:{(1034,1),(1066,1),(1162,1),(1163,1),(1674,1),(1704,1),(1708,1),(1787,1),(1790,1),(1868,1),(1869,1),(1870,1),(1871,1),(1880,1),(2517,1),(2549,1),(2666,1),(2688,1),(2689,1),(2693,1),(2710,1),(2717,1),(2721,1),(2754,1),(2773,1),(2776,1),(2777,1),(2789,1),(2791,1),(2928,1),(2929,1),(2946,1),(2947,1),(3511,1),(3551,1),(3576,1),(3583,1),(3586,1),(3613,1),(3706,1),(3731,1),(3752,1),(3754,1),(3762,1),(3763,1),(3765,1),(3777,1),(3807,1),(3813,1),(3820,1),(3829,1),(3952,1),(3974,1),(3976,1),(3993,1),(3994,1),(3998,1),(3999,1),(4617,1),(4678,1),(4687,2),(4688,1),(4695,1),(4698,1),(4752,1),(4825,1),(4869,1),(4870,1),(4888,1),(4894,1),(4897,1),(4901,1),(4903,1),(4932,1),(4937,1),(4949,1),(4958,1),(4968,1),(5114,1),(5760,1),(5761,1),(5763,1),(5766,1),(5770,1),(5809,1),(5813,1),(5826,2),(5843,1),(5855,1),(6021,1),(6039,1),(6106,1),(6220,1),(6761,2),(6772,1),(6860,1),(6863,1),(6864,1),(6866,1),(6887,2),(6897,1),(6902,1),(6903,1),(6915,2),(7124,3),(7248,1),(7842,1),(7890,1),(7954,1),(8041,1),(8054,1),(8630,1)}
1350:{2,3,5}:{(1032,1),(1063,1),(1162,1),(1672,1),(1709,1),(1790,1),(2551,1)}
1351:{2,3,6}:{(1031,1),(1065,1),(1163,1),(1671,1),(1706,1),(1787,1),(1880,1),(2928,1),(2929,1),(2946,1),(2947,1),(3583,1),(3998,1),(4687,1),(4695,1)}
1352:{1,4,6}:{(1026,1),(1044,1),(1067,1),(1675,1),(1711,1),(1744,1),(2524,1),(2530,1),(2627,1)}
1353:{1,4,6,7}:{(1023,1),(1045,1),(1069,1),(1175,1),(1678,1),(1713,1),(1720,1),(1728,1),(1891,1),(2527,1),(2576,1),(3625,1),(5690,1),(6106,1)}
1354:{1,4,6,7}:{(1025,1),(1046,1),(1068,1),(1175,1),(1676,1),(1712,1),(1722,1),(1727,1),(2526,1),(2585,1)}
1355:{1,4,6}:{(1024,1),(1043,1),(1070,1),(1677,1),(1714,1),(1743,1),(2525,1),(2528,1)}
1356:{4,5}:{(1047,1),(1055,1),(1750,1),(1889,1),(3706,1),(4968,1)}
1357:{1,4,5}:{(1048,1),(1058,1),(1089,1),(1682,1),(1725,1),(1747,1),(3706,1),(3830,1),(3871,1),(4600,1),(4756,1),(4849,1),(4860,1),(4968,1),(5861,1),(6108,1),(6980,1)}
1358:{4,5}:{(1050,1),(1056,1),(1679,1),(1749,1),(1889,1),(2544,1),(5745,1)}
1359:{1,4,5}:{(1049,1),(1057,1),(1089,1),(1680,1),(1726,1),(1748,1),(2546,1),(3830,1),(4860,1)}
1360:{4,7}:{(1047,1),(1073,1)}
1361:{1,4,7}:{(1048,1),(1071,1),(1090,1),(1684,1),(1721,1),(1752,1)}
1362:{4,7}:{(1050,1),(1074,1)}
1363:{1,4,7}:{(1049,1),(1072,1),(1090,1),(1685,1),(1719,1),(1751,1),(2524,1),(5699,1),(7715,1)}
1364:{1,7}:{(1030,1),(1052,1)}
1365:{1,4,5,7}:{(1029,1),(1051,1),(1189,1),(1193,1),(1729,1),(1738,1),(1755,1),(1900,1),(1903,1),(1910,1),(1911,1),(2587,1),(2589,1),(2802,1),(2812,1),(2813,1),(2821,1),(3590,1),(3602,1),(3830,1),(3841,1),(3919,1),(4729,1),(4860,1)}
1366:{1,5,7}:{(1028,1),(1053,1),(1193,1),(1728,1),(1908,1),(2808,1)}
1367:{1,4,7}:{(1027,1),(1054,1),(1189,1),(1730,1),(1737,1),(1756,1)}
1368:{1,5,7}:{(1057,1),(1062,1),(1108,1),(1733,1),(3919,1)}
1369:{3,5,7}:{(1055,1),(1060,1),(1188,1),(1716,1),(1734,1),(1772,1),(5095,1)}
1370:{1,3,5,7}:{(1058,1),(1061,1),(1108,1),(1188,1),(1715,1),(1732,1),(1811,1),(1900,1),(3576,1),(3855,1),(3919,1),(4682,1),(5055,1),(5095,1),(5096,1),(7119,1),(7124,1),(7976,1)}
1371:{5,7}:{(1056,1),(1059,1),(1731,1)}
1372:{1,3,5}:{(1032,1),(1051,1),(1208,1),(1742,1),(1933,1),(2721,1),(2837,1)}
1373:{1,3,5,6}:{(1034,1),(1053,1),(1208,1),(1209,1),(1736,1),(1739,1),(1918,1),(1922,1),(1923,1),(1924,1),(2606,1),(2833,1),(2836,1),(3609,1)}
1374:{1,3}:{(1033,1),(1054,1),(1933,1)}
1375:{1,3,6}:{(1031,1),(1052,1),(1209,1),(1735,1),(1740,1),(3583,1),(4695,1),(5024,1)}
1376:{1,2,4,5,7}:{(1038,1),(1045,1),(1066,1),(1216,1),(1218,1),(1704,1),(1746,1),(1753,1),(1758,1),(1772,1),(1773,1),(1784,1),(1940,1),(1942,1),(1944,1),(1953,1),(2523,1),(2590,1),(2613,1),(2620,1),(2624,1),(2659,1),(2670,1),(2673,1),(2675,1),(2685,1),(2687,1),(2727,1),(2734,1),(2758,1),(2794,1),(2799,1),(2802,1),(2808,1),(2813,1),(2859,1),(2861,1),(2865,1),(2872,1),(2940,1),(2942,1),(2958,1),(2960,1),(3504,1),(3508,1),(3536,1),(3546,1),(3555,1),(3559,1),(3587,1),(3595,1),(3597,1),(3656,1),(3658,1),(3664,1),(3681,1),(3693,1),(3706,1),(3710,1),(3713,1),(3721,1),(3724,1),(3778,1),(3786,1),(3800,1),(3830,1),(3835,1),(3839,1),(3842,1),(3855,1),(3897,1),(3901,2),(3911,1),(3915,1),(3922,1),(3923,1),(3946,1),(3983,1),(3984,1),(4597,1),(4646,1),(4656,1),(4699,1),(4755,1),(4757,1),(4764,2),(4766,1),(4847,1),(4856,1),(4860,1),(4864,2),(4865,1),(4910,1),(4914,1),(4917,1),(4919,1),(4972,1),(4980,1),(4983,1),(4992,1),(4995,1),(5044,1),(5054,1),(5059,1),(5063,1),(5070,1),(5095,4),(5124,1),(5705,1),(5707,1),(5744,1),(5745,1),(5798,1),(5863,1),(5865,1),(5866,1),(5871,1),(5917,2),(5918,1),(5940,1),(5942,1),(5962,1),(5985,1),(6007,2),(6014,1),(6053,1),(6055,2),(6061,1),(6164,1),(6168,1),(6178,1),(6180,1),(6188,1),(6218,1),(6775,1),(6803,2),(6828,1),(6829,2),(6880,1),(6984,1),(7018,1),(7030,1),(7039,1),(7053,1),(7098,1),(7104,1),(7131,4),(7213,1),(7249,1),(7792,1),(7836,1),(7837,1),(7841,1),(7870,1),(7917,1),(7976,1),(8026,1),(8505,1),(8545,1),(9445,1)}
1377:{1,2,5,7}:{(1037,1),(1043,1),(1063,1),(1218,1),(1705,1),(1743,1),(1752,1),(1772,1),(2615,1),(2758,1),(2813,1),(3562,1)}
1378:{1,2,7}:{(1036,1),(1044,1),(1064,1),(1703,1),(1744,1),(5699,1)}
1379:{1,2,4,7}:{(1035,1),(1046,1),(1065,1),(1216,1),(1706,1),(1754,1),(1757,1),(1773,1),(1784,1),(1953,1),(2591,1),(2657,1),(2808,1),(2861,1),(2940,1),(2942,1),(2958,1),(2960,1),(3658,1),(3922,1),(3946,1),(4764,1)}
1380:{2,4,6}:{(1047,1),(1222,1),(1225,1),(1708,1),(1750,1),(1753,1),(2547,1),(2616,1),(3699,1),(4826,1)}
1381:{1,2}:{(1048,1),(1135,1),(1709,1)}
1382:{1,2}:{(1049,1),(1135,1),(1710,1)}
1383:{2,4,6}:{(1050,1),(1222,1),(1225,1),(1707,1),(1749,1),(1754,1),(2544,1),(2619,1),(2759,1),(3539,1),(3787,1)}
1384:{1,2}:{(1040,1),(1054,1)}
1385:{1,2,5,6}:{(1042,1),(1053,1),(1237,1),(1238,1),(1758,1),(1759,1),(1960,1),(1965,1),(1966,1),(1967,1),(2641,1),(2876,1),(2882,1),(3830,1),(3918,1),(3919,1),(5894,1),(5962,1),(6180,1)}
1386:{1,2,6}:{(1039,1),(1052,1),(1238,1),(1757,1),(1762,1),(3700,1),(5071,1),(5894,1)}
1387:{1,2,5}:{(1041,1),(1051,1),(1237,1),(1760,1),(1970,1),(2888,1)}
1388:{1,3,6}:{(1067,1),(1072,1),(1155,1),(1675,1),(1719,1),(1733,1),(2537,1),(3496,1),(3575,1),(3919,1),(6773,1),(7746,1)}
1389:{1,3,6}:{(1070,1),(1071,1),(1155,1),(1677,1),(1721,1),(3576,1),(3919,1)}
1390:{2,3,6,7}:{(1068,1),(1074,1),(1200,1),(1244,1),(1676,1),(1722,1),(1731,1),(1946,1),(2539,1),(2619,1),(3488,1)}
1391:{2,3,6,7}:{(1069,1),(1073,1),(1200,1),(1244,1),(1678,1),(1720,1),(1734,1),(1946,1),(2616,1),(2777,1),(5690,1),(6106,1)}
1392:{1,2,5,6}:{(1057,1),(1076,1),(1156,1),(1726,1),(1733,1),(1748,1),(1763,1),(1905,1),(1960,1),(2573,1),(2614,1),(2618,1),(2876,1),(2889,1),(3830,1),(3919,1)}
1393:{2,3,5,6}:{(1055,1),(1078,1),(1231,1),(1724,1),(1734,1),(1750,1),(1766,1),(1771,1),(1814,1),(1824,1),(1869,1),(2517,1),(2548,1),(2616,1),(2693,1),(2726,1),(2733,1),(2777,1),(3552,1),(3611,1),(3683,1),(3706,1),(3731,1),(3952,1),(4738,1),(4813,1),(4821,1),(4826,1),(4968,1),(5726,1),(6106,1),(6779,1),(6858,1)}
1394:{1,2,3,5,6}:{(1058,1),(1075,1),(1156,1),(1231,1),(1725,1),(1732,1),(1747,1),(1765,1),(1814,1),(1869,1),(1905,1),(1960,1),(2568,1),(2574,1),(2605,1),(2615,1),(2617,1),(2652,1),(2721,1),(2777,1),(2876,1),(2889,1),(3573,1),(3576,1),(3610,1),(3612,1),(3682,1),(3686,1),(3690,1),(3706,1),(3762,1),(3817,1),(3830,1),(3916,1),(3919,1),(3952,1),(4756,1),(4786,1),(4812,1),(4824,1),(4899,1),(4942,1),(4968,1),(5077,1),(5721,1),(5861,1),(5894,1),(6106,1),(6180,1),(6761,1),(6915,1),(7124,1)}
1395:{2,5,6}:{(1056,1),(1077,1),(1723,1),(1731,1),(1749,1),(1764,1),(1771,1),(1824,1),(2619,1),(2726,1)}
1396:{1,2,7}:{(1062,1),(1076,1),(1168,1),(1908,1),(5699,1)}
1397:{2,4,7}:{(1059,1),(1077,1),(1253,1),(1764,1),(1773,1),(1896,1),(2942,1),(3800,1)}
1398:{2,3,4,7}:{(1060,1),(1078,1),(1243,1),(1253,1),(1753,1),(1766,1),(1773,1),(1813,1),(1840,1),(1876,1),(1896,1),(2542,1),(2687,1),(2694,1),(2708,1),(2750,1),(2784,1),(2940,1),(2942,1),(3555,1),(3721,1),(3800,1),(3989,1),(3991,1),(4864,1),(4900,1),(4951,1),(4983,1),(5102,1),(5700,1),(5754,1),(5988,1),(6095,1),(6120,1),(6799,1),(6801,1),(6877,1),(7131,1)}
1399:{1,2,3,7}:{(1061,1),(1075,1),(1168,1),(1243,1),(1752,1),(1813,1),(1876,1),(1908,1),(1969,1),(3879,1),(3989,1),(3991,1),(4900,1),(5070,1),(5696,1),(5754,1),(5815,1),(6095,1),(6189,1),(7004,1),(7053,1)}
1400:{5}:{(1092,1)}
1401:{4,6}:{(1084,1),(1255,1),(1256,1),(1771,1),(1773,1),(1787,1)}
1402:{4,6}:{(1079,1),(1082,1),(1774,1),(1786,1),(1825,1),(6106,1)}
1403:{5,6}:{(1083,1),(1087,1),(1775,1)}
1404:{5,7}:{(1083,1),(1091,1),(1774,1),(1776,1)}
1405:{4,5,7}:{(1085,1),(1088,1),(1123,1),(1775,1),(1777,1),(1781,1),(1791,1),(2671,1),(2696,1)}
1406:{4,6,7}:{(1087,1),(1088,1),(1141,1),(1773,1),(1775,1),(1794,1),(2668,1),(2696,1)}
1407:{4,5,7}:{(1089,1),(1090,1),(1108,1),(1776,1),(1780,1),(1781,1),(1832,1),(2671,1),(2731,1)}
1408:{4,6}:{(1090,1),(1155,1),(1776,1),(1833,1),(2731,1)}
1409:{4,6}:{(1089,1),(1156,1),(1781,1),(1782,1),(2546,1),(2731,1),(3510,1),(4860,1)}
1410:{4,7}:{(1092,1),(1159,1),(1772,1)}
1411:{4,6}:{(1160,1),(1257,1),(1259,1),(1778,1),(1784,1),(2544,1),(2926,1),(3726,1),(5745,1)}
1412:{4}:{(1161,1)}
1413:{3,5,7}:{(1082,1),(1093,1),(1102,1),(1786,1),(1900,1)}
1414:{3,5}:{(1083,1),(1106,1),(1792,1),(1901,1),(4968,1)}
1415:{3,5}:{(1084,1),(1107,1),(1787,1),(1902,1)}
1416:{3,5,7}:{(1080,1),(1095,1),(1104,1),(1669,1),(1800,1),(1903,1),(4576,1),(5752,1)}
1417:{3,5,6}:{(1081,1),(1095,1),(1099,1),(1668,1),(1801,1),(1904,1),(2848,1)}
1418:{3,5,6}:{(1085,1),(1093,1),(1100,1),(1786,1),(1791,1),(1798,1),(1905,1),(3565,1),(4615,1),(4667,1),(4968,1),(6106,1)}
1419:{3,5,6,7}:{(1086,1),(1097,1),(1098,1),(1774,1),(1775,1),(1786,1),(1794,1),(1810,1),(1906,1),(2002,1),(2003,1),(2668,1),(2713,1),(2714,1),(6036,1),(6106,1)}
1420:{3,6}:{(1087,1),(1101,1),(1907,1),(6106,1)}
1421:{3,7}:{(1088,1),(1100,1),(1908,1)}
1422:{3,4,5}:{(1089,1),(1093,1),(1103,1),(1680,1),(1782,1),(1792,1),(1798,1),(1853,1),(1909,1),(2546,1),(2721,1),(2837,1),(3565,1),(3585,1),(3848,1),(4860,1),(4968,1)}
1423:{3,4,7}:{(1090,1),(1103,1),(1109,1),(1797,1),(1802,1),(1854,1),(1910,1),(2524,1),(3629,1),(4860,1),(5752,1),(5754,1),(6030,1)}
1424:{4,7}:{(1105,1),(1142,1),(1799,1)}
1425:{4,5}:{(1095,1),(1105,1),(1702,1),(1795,1),(1801,1)}
1426:{3,4,6,7}:{(1091,1),(1102,1),(1106,1),(1157,1),(1786,1),(1789,1),(1794,1),(1797,1),(1802,1),(1803,1),(1913,1),(2528,1),(2679,1),(2689,1),(2695,1),(2696,1),(2849,1),(3517,1),(3541,1),(3568,1),(3631,1),(3762,1),(3880,1),(3881,1),(4648,1),(4667,1),(4696,1),(4734,1),(4860,1),(4981,1),(4983,1),(5691,1),(5752,1),(5754,1),(5833,1),(6106,1),(6827,1)}
1427:{4}:{(1158,1)}
1428:{3,4,6}:{(1092,1),(1107,1),(1162,1),(1672,1),(1787,1),(1790,1),(1803,1),(1915,1),(2519,1),(2528,1),(2608,1),(2689,1),(3613,1)}
1429:{3,4}:{(1163,1),(1257,1),(1259,1),(1916,1),(2544,1),(3583,1),(3726,1),(5745,1)}
1430:{3,6}:{(1079,1),(1108,1),(1733,1),(1780,1)}
1431:{3,5}:{(1121,1),(1169,1),(1795,1)}
1432:{3,6}:{(1109,1),(1170,1),(3575,1),(3576,1)}
1433:{3,6,7}:{(1111,1),(1171,1),(1263,1),(1265,1),(2539,1),(3754,1),(3881,1),(4695,1)}
1434:{3,6}:{(1112,1),(1172,1)}
1435:{3,5,7}:{(1110,1),(1116,1),(1173,1),(1772,1),(1810,1),(1813,1),(2786,1),(3757,1),(3881,1),(4900,1),(5095,1),(5102,1),(5754,1)}
1436:{3,5}:{(1119,1),(1174,1),(2721,1),(3576,1),(3706,1),(4968,1),(7124,1)}
1437:{3,6}:{(1114,1),(1175,1)}
1438:{3,6}:{(1115,1),(1176,1),(1813,1),(3583,1)}
1439:{3,5,7}:{(1115,1),(1122,1),(1177,1),(1808,1),(1812,1),(1813,1),(2837,1),(3881,1)}
1440:{3,4,7}:{(1111,1),(1117,1),(1178,1),(1784,1),(1873,1),(1926,1),(2526,1),(3713,1),(5102,1),(5745,1),(6829,1)}
1441:{3,4,5,6}:{(1110,1),(1117,1),(1118,1),(1179,1),(1679,1),(1681,1),(1778,1),(1783,1),(1816,1),(1817,1),(1819,1),(1874,1),(1927,1),(1995,1),(2008,1),(2009,1),(2517,1),(2538,1),(2539,1),(2544,1),(2669,1),(2674,1),(2693,1),(2699,1),(2701,1),(2715,1),(2717,1),(2722,1),(2919,1),(2926,1),(2927,1),(2928,1),(2946,1),(2947,1),(3521,1),(3531,1),(3539,1),(3564,1),(3583,1),(3703,1),(3706,1),(3709,1),(3711,1),(3715,1),(3723,1),(3726,1),(3731,1),(3743,1),(3744,1),(3751,1),(3754,1),(3758,1),(3760,1),(3815,1),(3885,1),(3970,1),(3972,1),(3974,1),(3976,1),(3978,1),(4599,1),(4602,1),(4621,1),(4624,1),(4635,1),(4670,1),(4687,1),(4695,1),(4849,1),(4852,1),(4853,1),(4860,1),(4862,1),(4863,1),(4869,1),(4870,1),(4875,1),(4888,1),(4889,1),(4894,1),(4903,1),(4968,1),(5098,1),(5744,1),(5745,4),(5747,1),(5761,1),(5763,1),(5826,1),(6008,1),(6009,1),(6013,1),(6014,1),(6015,1),(6019,1),(6021,1),(6039,1),(6106,1),(6166,1),(6220,1),(6825,1),(6832,1),(6844,1),(6860,1),(6863,1),(7102,1),(7124,1),(7201,1),(7248,1),(7716,1),(7717,1),(7720,1),(7796,1),(7828,1),(7954,1)}
1442:{3,4,5,7}:{(1112,1),(1118,1),(1180,1),(1266,1),(1268,1),(1785,1),(1816,1),(1875,1),(1928,1),(1996,1),(2008,1),(2010,1),(2669,1),(2725,1),(2925,1),(2926,1),(2947,1),(2948,1),(3709,1),(3751,1),(3976,1),(4862,1),(5095,1),(5102,1),(5745,1)}
1443:{3,4,7}:{(1113,1),(1119,1),(1181,1),(1811,1),(1813,1),(1876,1),(2687,1),(2786,1),(3576,1),(3881,1),(4629,1),(4860,1),(4900,1),(4983,1),(5754,1),(7124,1)}
1444:{3,4,7}:{(1114,1),(1120,1),(1182,1),(1795,1),(1818,1),(1877,1),(1930,1),(2526,1),(2850,1),(2947,1),(5745,1)}
1445:{3,4,5}:{(1115,1),(1120,1),(1183,1),(1679,1),(1805,1),(1819,1),(1878,1),(1931,1),(2544,1),(2693,1),(2947,1),(3583,1),(3743,1),(3976,1),(5745,1)}
1446:{3,6,7}:{(1113,1),(1121,1),(1184,1),(1677,1),(1806,1),(3762,1)}
1447:{3,4,6}:{(1121,1),(1122,1),(1185,1),(1795,1),(1808,1),(1812,1),(1882,1),(2683,1),(2699,1),(3762,1),(4695,1),(4860,1),(5745,1)}
1448:{3,4,7}:{(1107,1),(1166,1),(1186,1),(1809,1),(1822,1),(2011,1),(2012,1),(2608,1),(3713,1)}
1449:{2,6}:{(1124,1),(1254,1),(1255,1),(1823,1)}
1450:{2,6,7}:{(1079,1),(1123,1),(1777,1),(1825,1),(3518,1),(3554,1)}
1451:{2,5,7}:{(1082,1),(1125,1),(1134,1),(1825,1)}
1452:{2,5}:{(1083,1),(1139,1),(1830,1),(2669,1),(3706,1),(4968,1)}
1453:{2,4,5,6}:{(1085,1),(1125,1),(1132,1),(1782,1),(1825,1),(1826,1),(1829,1),(1830,1),(1834,1),(1846,1),(2679,1),(2680,1),(2729,1),(2730,1),(2731,1),(2739,1),(2755,1),(3707,1),(3720,1),(3771,1),(3782,1),(3784,1),(3795,1),(4606,1),(4860,1),(4910,1),(4968,1),(6014,1),(6106,1)}
1454:{2,4,5}:{(1084,1),(1124,1),(1140,1),(1779,1),(1824,1),(1828,1),(1847,1),(2016,1),(2551,1),(2682,1),(6061,1)}
1455:{2,6,7}:{(1086,1),(1127,1),(1129,1),(1823,1),(1825,1),(2942,1),(3799,1),(3800,1),(7131,1)}
1456:{2,5,7}:{(1080,1),(1130,1),(1136,1),(1689,1),(1772,1),(1838,1),(2670,1),(5095,1)}
1457:{2,5,6}:{(1081,1),(1130,1),(1131,1),(1690,1),(1771,1),(1839,1),(3514,1),(3779,1),(4910,1),(6054,1)}
1458:{2,4,6}:{(1087,1),(1127,1),(1133,1),(1825,1),(1826,1),(1835,1),(1849,1),(2679,1),(2680,1),(2726,1),(2730,1),(2755,1),(3553,1),(3718,1),(4606,1),(6106,1),(7102,1)}
1459:{2,4,7}:{(1088,1),(1129,1),(1132,1),(1836,1),(1850,1)}
1460:{2,5}:{(1089,1),(1135,1),(1834,1),(4968,1)}
1461:{2,7}:{(1090,1),(1135,1),(1833,1)}
1462:{4,6}:{(1138,1),(1143,1),(1782,1),(1830,1),(1836,1),(2683,1),(2731,1),(3507,1),(4860,1),(6014,1)}
1463:{4,7}:{(1137,1),(1144,1)}
1464:{4,5}:{(1130,1),(1137,1),(1700,1)}
1465:{4,5,7}:{(1138,1),(1145,1),(1779,1),(1785,1),(1830,1),(1835,1),(1836,1),(2669,1),(2676,1),(2683,1),(3711,1),(3724,1),(4860,1),(4862,1),(5095,1),(5745,1),(6014,1)}
1466:{2,4,6,7}:{(1091,1),(1134,1),(1139,1),(1149,1),(1825,1),(1827,1),(1833,1),(1836,1),(1840,1),(2679,1),(2684,1),(2726,1),(2730,1),(2731,1),(4983,1),(6106,1)}
1467:{2,4,6}:{(1092,1),(1140,1),(1164,1),(1783,1),(1824,1),(1840,1),(2726,1),(3972,1)}
1468:{2,3,5}:{(1124,1),(1154,1),(1260,1),(1262,1),(1779,1),(1824,1),(1959,1),(2016,1),(2669,1),(2693,1),(2719,1),(2937,1),(3976,1)}
1469:{2,3,5}:{(1093,1),(1125,1),(1150,1),(1782,1),(1960,1),(2721,1)}
1470:{2,3,5,6}:{(1094,1),(1126,1),(1142,1),(1667,1),(1669,1),(1691,1),(1693,1),(1799,1),(1961,1),(2501,1),(2510,1),(2748,1),(2846,1),(3501,1)}
1471:{2,3,5,6}:{(1097,1),(1127,1),(1145,1),(1826,1),(1835,1),(1849,1),(1865,1),(1962,1),(2669,1),(2726,1),(2752,1),(2785,1),(3703,1),(3731,1),(6106,1)}
1472:{2,3,5,6,7}:{(1096,1),(1128,1),(1144,1),(1276,1),(1277,1),(1687,1),(1690,1),(1692,1),(1694,1),(1837,1),(1866,1),(1963,1),(2002,1),(2004,1),(2503,1),(2505,1),(2556,1),(2668,1),(2670,1),(2747,1),(2787,1),(2942,1),(3516,1),(3556,1),(3704,1),(3750,1),(3774,1),(3790,1),(3984,1),(3991,1),(4656,1),(4847,1),(4916,1),(4947,1),(5095,1),(5102,1),(5754,1),(5830,1),(6007,1),(6036,1),(6106,1),(7131,1)}
1473:{2,3,5,7}:{(1098,1),(1129,1),(1143,1),(1149,1),(1827,1),(1836,1),(1850,1),(1964,1),(2753,1),(2786,1),(4656,1),(5754,1)}
1474:{2,3,6}:{(1099,1),(1131,1),(1147,1),(1787,1),(1856,1),(1965,1),(2689,1),(5733,1),(6106,1)}
1475:{2,3,6}:{(1100,1),(1132,1),(1148,1),(1850,1),(1855,1),(1966,1),(3807,1),(4678,1)}
1476:{2,3,5}:{(1095,1),(1130,1),(1151,1),(1699,1),(1701,1),(1790,1),(1967,1),(2688,1),(3807,1),(4838,1),(4968,1),(6054,1)}
1477:{2,3,5,7}:{(1101,1),(1133,1),(1148,1),(1153,1),(1845,1),(1847,1),(1849,1),(1850,1),(1857,1),(1968,1),(2750,1),(2753,1),(3807,1),(4617,1),(4914,1),(4931,1),(4939,1),(5754,1),(6061,1),(7131,1)}
1478:{2,3,7}:{(1102,1),(1134,1),(1150,1),(1969,1)}
1479:{2,3}:{(1103,1),(1135,1),(1859,1),(1970,1)}
1480:{2,3,4,6,7}:{(1104,1),(1136,1),(1146,1),(1151,1),(1691,1),(1694,1),(1696,1),(1697,1),(1803,1),(1851,1),(1879,1),(1971,1),(2504,1),(2511,1),(2528,1),(2531,1),(2552,1),(2566,1),(2662,1),(2679,1),(2685,1),(2689,1),(2758,1),(3487,1),(3508,1),(3542,1),(3544,1),(3551,1),(3631,1),(3635,1),(3762,1),(3962,1),(4586,1),(4587,1),(4629,1),(4678,1),(4698,1),(4860,1),(4863,1),(4937,1),(4981,1),(4983,1),(5744,1),(5754,1),(5778,1),(5813,1),(5819,1),(6014,1),(6066,2),(6078,1),(6081,1),(6106,1),(6834,1),(6901,1),(6907,1),(6913,1),(6943,1),(7098,1),(7102,1),(7124,1),(7131,1),(7792,1),(7796,1),(7814,1),(7842,1),(7849,1),(8040,1),(8600,1)}
1481:{3,4,5,7}:{(1147,1),(1152,1),(1272,1),(1274,1),(1696,1),(1698,1),(1699,1),(1700,1),(1793,1),(1804,1),(1856,1),(1972,1),(2023,1),(2025,1),(2503,1),(2520,1),(2688,1),(2694,1),(2724,1),(2753,1),(2947,1),(3527,1),(3578,1),(3743,1),(3745,1),(3760,1),(3976,1),(4617,1),(4860,1),(4869,1),(5095,1),(5096,1),(5102,1),(5709,1),(5745,1),(5754,1),(5819,1),(6014,1),(6897,1),(6913,1),(7124,1),(7720,1)}
1482:{3,4}:{(1138,1),(1148,1),(1782,1),(1881,1),(1973,1),(2721,1),(2947,1),(6014,1),(7124,1)}
1483:{2,3,4,6}:{(1106,1),(1139,1),(1150,1),(1153,1),(1782,1),(1845,1),(1849,1),(1855,1),(1859,1),(1882,1),(1974,1),(2679,1),(2680,1),(2683,1),(2707,1),(2721,1),(2755,1),(2916,1),(3762,1),(3763,1),(3766,1),(3785,1),(3807,1),(3848,1),(3952,1),(4860,1),(4937,1),(4958,1),(6014,1),(6019,1),(7102,1),(7124,1)}
1484:{2,3,4}:{(1107,1),(1140,1),(1165,1),(1805,1),(1847,1),(1975,1),(3807,1)}
1485:{2,3,5,7}:{(1108,1),(1123,1),(1156,1),(1168,1),(1763,1),(1781,1),(1791,1),(1832,1),(1862,1),(2543,1),(2671,1),(2762,1),(3525,1),(4664,1)}
1486:{2,3,5,7}:{(1109,1),(1157,1),(1158,1),(1214,1),(1703,1),(1789,1),(1802,1),(1806,1),(1854,1),(1864,1),(2521,1),(2748,1),(2756,1),(2758,1),(3501,1),(3525,1),(4656,1),(4658,1),(4664,1),(4942,1),(5752,1),(5754,1)}
1487:{2,3,5,6}:{(1110,1),(1161,1),(1164,1),(1215,1),(1783,1),(1824,1),(1865,1),(1867,1),(1869,1),(1871,1),(2669,1),(2693,1),(2726,1),(2777,1),(3703,1),(3706,1),(3731,1),(3952,1),(4968,1),(6106,1)}
1488:{2,3,5,7}:{(1111,1),(1159,1),(1160,1),(1216,1),(1706,1),(1772,1),(1784,1),(1866,1),(1873,1),(2002,1),(2520,1),(2670,1),(2734,1),(2942,1),(3984,1),(3991,2),(5095,2),(5102,1)}
1489:{2,3,5,7}:{(1112,1),(1161,1),(1167,1),(1217,1),(1785,1),(1865,1),(2669,1),(2950,1),(3991,1),(5095,1)}
1490:{2,3,7}:{(1113,1),(1162,1),(1218,1),(1803,1),(3555,1),(3576,1),(4678,1)}
1491:{2,3,5,7}:{(1114,1),(1163,1),(1166,1),(1219,1),(1706,1),(1804,1),(1809,1),(1868,1),(1870,1),(1877,1),(2023,1),(2025,1),(2520,1),(2666,1),(2688,1),(2773,1),(2947,1),(2950,1),(2951,1),(2952,1),(2954,1),(3495,1),(3578,1),(3976,1),(3989,1),(3991,1),(3993,1),(3994,1),(3998,1),(4580,1),(4628,1),(4675,1),(4693,1),(4901,1),(5095,1),(5096,1),(5102,1),(5760,1),(5809,1),(5853,1),(5855,1),(6047,1),(6902,1),(6915,1),(7124,1)}
1492:{2,3,5}:{(1115,1),(1165,1),(1220,1),(1805,1),(1871,1),(1881,1),(2693,1),(2719,1),(2721,1),(2776,1),(2792,1),(2947,1),(3576,1),(3583,1),(3586,1),(3765,1),(3807,1),(3976,1),(3998,1),(4617,1),(4678,1),(7124,1)}
1493:{2,3,7}:{(1116,1),(1164,1),(1221,1),(1823,1),(1840,1),(2942,1),(3555,1),(3800,1),(7131,1)}
1494:{2,3,6}:{(1117,1),(1222,1),(1281,1),(1283,1),(1841,1),(1873,1),(1985,1),(2759,1),(3777,1),(6887,1)}
1495:{2,3,5}:{(1118,1),(1223,1),(1282,1),(1283,1),(1842,1),(1986,1),(2016,1),(2760,1),(2792,1),(3807,1)}
1496:{2,3,6}:{(1119,1),(1165,1),(1224,1),(1709,1),(1869,1),(1876,1),(2721,1),(2916,1),(3576,1),(3586,1),(3762,1),(3807,1),(4678,1),(6903,1),(7124,1)}
1497:{2,3}:{(1120,1),(1225,1),(1988,1),(2947,1)}
1498:{2,3,6}:{(1121,1),(1166,1),(1226,1),(1822,1),(1868,1),(1880,1),(3762,1),(3777,1),(4695,1)}
1499:{2,3,7}:{(1122,1),(1165,1),(1227,1),(1881,1),(1882,1),(2721,1),(2786,1),(2916,1),(2947,1),(3576,1),(3800,1),(7124,1)}
1500:{2,3,4,7}:{(1154,1),(1167,1),(1228,1),(1269,1),(1270,1),(1785,1),(1823,1),(1840,1),(1863,1),(2019,1),(2676,1),(2708,1),(2750,1),(2942,1),(3757,1),(3991,1),(5102,1)}
1501:{1,5,7}:{(1080,1),(1169,1),(1184,1),(1714,1),(1806,1),(3830,1)}
1502:{1,5,6}:{(1081,1),(1169,1),(1175,1),(1712,1),(1807,1),(1889,1),(2575,1),(2833,1),(4757,1)}
1503:{1,5}:{(1083,1),(1185,1),(1808,1),(1889,1),(2669,1),(3706,1),(4968,1)}
1504:{1,4,5,7}:{(1084,1),(1186,1),(1284,1),(1286,1),(1772,1),(1773,1),(1809,1),(1884,1),(1885,1),(1902,1),(1996,1),(1997,1),(2030,1),(2031,1),(2523,1),(2582,1),(2677,1),(2794,1),(2808,1),(2813,1),(2958,1),(2960,1),(3595,1),(3713,1),(5095,1)}
1505:{1,4,6,7}:{(1086,1),(1172,1),(1173,1),(1187,1),(1810,1),(1891,1),(1894,1),(1906,1),(1939,1),(2028,1),(2668,1),(2684,1),(2923,1),(2958,1),(3517,1),(3708,1),(3851,1),(4990,1),(6106,1)}
1506:{1,4,5,7}:{(1082,1),(1174,1),(1181,1),(1188,1),(1716,1),(1772,1),(1811,1),(1890,1),(1891,1),(1900,1),(1942,1),(2523,1),(2673,1),(2687,1),(2700,1),(2802,1),(2813,1),(3706,1),(3830,1),(3855,1),(4860,1),(5095,1)}
1507:{1,4,6}:{(1087,1),(1177,1),(1229,1),(1812,1),(1886,1),(1895,1),(1907,1),(2699,1),(6106,1)}
1508:{1,4,7}:{(1088,1),(1176,1),(1230,1),(1773,1),(1813,1),(1896,1),(1908,1),(2808,1)}
1509:{1,4,5,6}:{(1085,1),(1174,1),(1176,1),(1231,1),(1724,1),(1725,1),(1771,1),(1814,1),(1886,1),(1891,1),(1893,1),(1905,1),(2519,1),(2574,1),(2699,1),(2810,1),(2816,1),(3514,1),(3522,1),(3653,1),(3654,1),(3706,1),(3830,1),(3840,1),(4606,1),(4701,1),(4756,1),(4757,1),(4759,1),(4761,1),(4860,1),(4964,1),(4968,1),(5745,1),(5746,1),(5861,1),(5894,1),(6013,1),(6106,1),(6825,1)}
1510:{4,6,7}:{(1178,1),(1200,1),(1287,1),(1289,1),(1887,1),(1946,1),(2861,1),(4741,1),(5690,1)}
1511:{4,6}:{(1180,1),(1201,1),(1888,1),(1947,1)}
1512:{4,5,7}:{(1178,1),(1179,1),(1202,1),(1887,1),(1894,1),(1896,1),(1948,1),(2796,1),(2861,1),(4741,1),(5095,1)}
1513:{4,6}:{(1182,1),(1244,1),(1889,1)}
1514:{4,6}:{(1183,1),(1245,1),(1896,1),(2544,1),(5745,1)}
1515:{4,5,7}:{(1182,1),(1183,1),(1246,1),(1785,1),(1889,1),(1895,1),(1896,1),(2669,1),(2687,1),(2796,1),(3621,1),(3706,1),(3848,1),(4581,1),(4741,1),(4968,1),(4983,1),(5095,1)}
1516:{1,4,6,7}:{(1091,1),(1181,1),(1185,1),(1247,1),(1720,1),(1721,1),(1821,1),(1890,1),(1891,1),(2528,1),(2684,1),(3517,1),(3847,1),(4983,1),(5003,1),(6106,1)}
1517:{1,4,6}:{(1092,1),(1186,1),(1249,1),(1822,1),(1884,1),(1999,1),(2000,1),(2528,1),(3972,1),(4863,1)}
1518:{1,6}:{(1079,1),(1188,1),(1734,1)}
1519:{1,5}:{(1093,1),(1197,1),(3919,1)}
1520:{1,6}:{(1094,1),(1189,1),(3919,1)}
1521:{1,5}:{(1095,1),(1198,1)}
1522:{1,5,6,7}:{(1096,1),(1171,1),(1191,1),(1291,1),(1292,1),(1712,1),(1727,1),(1728,1),(1887,1),(2575,1),(2670,1),(2793,1),(2794,1),(2808,1),(2811,1),(3704,1),(3851,1),(4757,1),(5690,1),(5917,1),(6106,1)}
1523:{1,5,6}:{(1097,1),(1172,1),(1192,1),(1888,1),(1907,1),(2575,1),(2669,1),(2919,1),(3703,1),(4757,1),(6106,1)}
1524:{1,5,7}:{(1098,1),(1190,1),(1196,1),(1887,1),(1908,1),(3830,1)}
1525:{1,6}:{(1099,1),(1194,1)}
1526:{1,6}:{(1100,1),(1195,1),(1908,1)}
1527:{1,5,7}:{(1101,1),(1195,1),(1199,1),(1901,1),(1902,1),(1907,1),(1908,1),(2808,1),(4581,1)}
1528:{1,4,7}:{(1102,1),(1197,1),(1203,1),(1900,1),(1908,1),(1969,1),(3919,1)}
1529:{1,4}:{(1103,1),(1204,1),(1970,1),(4860,1)}
1530:{1,4,6,7}:{(1104,1),(1193,1),(1198,1),(1232,1),(1728,1),(1729,1),(1903,1),(1911,1),(1932,1),(2821,1)}
1531:{1,4}:{(1105,1),(1233,1),(1933,1)}
1532:{1,4,6}:{(1106,1),(1199,1),(1248,1),(1901,1),(1907,1),(1914,1),(3639,1)}
1533:{1,4}:{(1107,1),(1250,1),(1902,1)}
1534:{3,6,7}:{(1187,1),(1201,1),(1202,1),(1731,1),(1734,1),(1894,1),(2539,1),(2668,1)}
1535:{1,3,5,7}:{(1109,1),(1189,1),(1203,1),(1204,1),(1737,1),(1900,1),(1910,1),(1917,1),(2595,1),(2812,1),(3919,1),(5055,1),(6144,1),(6152,1)}
1536:{1,3,5,6}:{(1110,1),(1190,1),(1207,1),(1210,1),(1808,1),(1884,1),(1921,1),(1922,1),(1924,1),(1927,1),(2008,1),(2009,1),(2035,1),(2037,1),(2533,1),(2669,1),(2710,1),(2713,1),(2717,1),(2793,1),(2810,1),(2833,1),(2836,1),(2919,1),(2928,1),(3514,1),(3583,1),(3609,1),(3703,1),(3706,1),(3728,1),(3751,1),(3754,1),(3850,1),(3852,1),(3854,1),(3883,1),(3978,1),(4575,1),(4625,1),(4687,1),(4695,1),(4757,1),(4841,1),(4869,1),(4888,1),(4889,1),(4894,1),(4903,1),(4964,1),(4965,1),(4968,1),(4986,1),(5024,1),(5119,1),(5761,1),(5763,1),(5826,2),(5860,1),(5861,1),(5888,1),(5894,1),(5904,1),(5992,1),(6039,1),(6104,1),(6106,1),(6122,1),(6151,1),(6860,1),(6863,1),(6954,1),(6957,1),(6989,1),(7124,1),(7766,1),(7954,1),(9072,1)}
1537:{1,3,5,7}:{(1111,1),(1191,1),(1205,1),(1206,1),(1735,1),(1806,1),(1926,1),(2598,1),(2808,1),(3597,1),(3879,1),(3946,1)}
1538:{1,3,5,7}:{(1112,1),(1192,1),(1207,1),(1213,1),(1808,1),(1920,1),(1928,1),(2008,1),(2010,1),(2534,1),(2598,1),(2669,1),(2714,1),(2833,1),(3730,1),(3751,1),(3850,1),(3855,1),(3877,1),(4757,1),(5095,1),(5888,1)}
1539:{1,3,7}:{(1113,1),(1193,1),(1208,1),(3881,1)}
1540:{1,3,5,7}:{(1114,1),(1194,1),(1209,1),(1212,1),(1735,1),(1918,1),(1923,1),(1930,1),(2598,1),(2833,1)}
1541:{1,3,5}:{(1115,1),(1195,1),(1211,1),(1902,1),(1924,1),(1931,1),(3583,1),(5024,1)}
1542:{1,3,4,6,7}:{(1116,1),(1196,1),(1205,1),(1210,1),(1810,1),(1815,1),(1821,1),(1897,1),(1921,1),(1926,1),(1929,1),(1984,1),(2027,1),(2028,1),(2600,1),(2684,1),(2712,1),(2723,1),(2786,1),(2806,1),(2808,1),(2836,1),(2839,1),(2841,1),(2923,1),(2958,1),(3517,1),(3595,1),(3713,1),(3742,1),(3754,1),(3757,1),(3762,1),(3767,1),(3847,1),(3851,1),(3858,1),(3861,1),(3866,1),(3872,1),(3879,1),(3881,1),(3946,1),(3959,1),(3980,1),(4629,1),(4695,1),(4731,1),(4732,1),(4739,1),(4740,1),(4860,1),(4863,1),(4895,1),(4900,1),(4904,1),(4974,1),(4982,1),(4983,1),(4990,1),(5003,1),(5005,1),(5102,1),(5745,1),(5754,1),(5777,1),(5779,1),(5831,2),(5879,1),(5880,1),(5913,1),(5992,1),(6039,1),(6047,1),(6104,1),(6106,1),(6135,1),(6137,1),(6829,2),(6863,1),(7102,1),(7124,1),(7773,1),(7796,1),(8040,1)}
1543:{1,4,6}:{(1117,1),(1206,1),(1299,1),(1301,1),(1795,1),(1926,1),(1985,1),(2525,1),(4860,1),(5119,1),(5745,1)}
1544:{1,4,5}:{(1118,1),(1207,1),(1300,1),(1301,1),(1899,1),(1986,1),(3871,1),(5745,1)}
1545:{1,3,4,6}:{(1119,1),(1197,1),(1208,1),(1211,1),(1739,1),(1742,1),(1915,1),(1922,1),(1924,1),(1929,1),(1987,1),(2721,1),(2807,1),(2828,1),(2836,1),(2912,1),(3762,1),(3847,1),(3871,1),(4729,1),(4860,1),(5003,1),(5894,1),(7124,1)}
1546:{1,4}:{(1120,1),(1209,1),(1988,1),(5745,1)}
1547:{1,3,6}:{(1121,1),(1198,1),(1212,1),(1918,1),(1933,1),(2848,1)}
1548:{1,3,4,7}:{(1122,1),(1199,1),(1211,1),(1212,1),(1925,1),(1930,1),(1934,1),(1991,1),(2830,1),(3628,1),(3861,1),(3881,1),(4904,1),(4983,1),(5745,1),(6049,1),(6978,1),(7124,1)}
1549:{1,2,5,7}:{(1124,1),(1228,1),(1285,1),(1286,1),(1823,1),(1863,1),(1936,1),(1959,1),(3855,1),(5095,1)}
1550:{1,2,5,6}:{(1126,1),(1170,1),(1214,1),(1711,1),(1714,1),(1743,1),(1744,1),(1774,1),(1776,1),(1825,1),(1833,1),(1864,1),(2573,1),(2614,1),(2615,1),(2618,1),(2729,1),(2809,1),(2812,1),(2876,1),(2887,1),(3830,1),(3921,1),(5893,1),(5894,1),(6106,1)}
1551:{1,2,6}:{(1127,1),(1172,1),(1217,1),(1865,1),(1947,1),(2619,1),(2726,1),(2945,1)}
1552:{1,2,6,7}:{(1128,1),(1171,1),(1216,1),(1302,1),(1304,1),(1866,1),(1946,1),(2028,1),(2619,1),(2668,1),(3594,1),(3689,1),(3774,1),(3900,1),(3923,1)}
1553:{1,2,5,7}:{(1129,1),(1173,1),(1215,1),(1221,1),(1823,1),(1867,1),(1939,1),(1944,1),(1948,1),(2727,1),(2942,1),(3555,1),(3800,1),(3855,1),(3923,1),(3984,1),(4656,1),(5095,1),(7131,1)}
1554:{1,2,5}:{(1130,1),(1169,1),(1226,1),(1868,1),(1884,1),(1954,1),(3700,1),(3830,1),(4757,1)}
1555:{1,2,5}:{(1125,1),(1174,1),(1224,1),(1750,1),(1824,1),(1869,1),(2551,1),(2760,1),(3550,1),(3562,1),(3706,1),(3830,1),(4910,1),(4968,1),(6061,1)}
1556:{1,2,4,6}:{(1131,1),(1175,1),(1219,1),(1302,1),(1304,1),(1870,1),(1885,1),(1941,1),(1949,1),(1965,1),(1999,1),(2000,1),(2048,1),(2049,1),(2619,1),(2674,1),(2686,1),(2759,1),(2827,1),(2909,1),(2944,1),(2945,1),(2967,1),(3539,1),(3594,1),(3648,1),(3689,1),(3777,1),(3844,1),(3900,2),(3926,1),(3970,1),(3972,1),(4640,1),(4653,1),(4706,1),(4720,1),(4759,1),(4783,1),(4807,1),(4863,2),(4975,1),(5119,1),(5733,1),(5943,1),(5969,1),(6008,1),(6104,1),(6106,1),(6167,1),(6887,1),(6984,1),(7016,1),(7102,1),(7796,1)}
1557:{1,2,4,6}:{(1132,1),(1176,1),(1215,1),(1220,1),(1783,1),(1828,1),(1871,1),(1944,1),(1950,1),(1952,1),(1966,1),(2800,1),(2828,1),(2880,1),(2910,1),(2967,1),(3840,1),(3970,1),(3972,1),(4606,1),(5119,1),(5894,1)}
1558:{1,2,4,5,7}:{(1133,1),(1177,1),(1217,1),(1220,1),(1227,1),(1785,1),(1872,1),(1937,1),(1942,1),(1943,1),(1944,1),(1951,1),(1955,1),(1968,1),(2669,1),(2673,1),(2683,1),(2687,1),(2760,1),(2802,1),(2803,1),(2830,1),(2859,1),(2865,1),(2874,1),(2883,1),(2911,1),(3656,1),(3658,1),(3706,1),(3711,1),(3724,1),(3786,1),(3800,1),(3830,1),(3839,1),(3842,1),(3844,1),(3848,1),(3850,1),(3855,1),(3896,1),(3909,1),(3923,1),(4755,1),(4757,1),(4860,1),(4862,1),(4910,1),(4914,1),(4968,1),(4972,1),(4973,1),(4980,1),(4983,1),(5037,1),(5044,1),(5070,1),(5095,1),(5744,1),(5745,1),(6014,1),(6019,1),(6061,1),(6176,1),(6180,1),(6984,1),(7131,1)}
1559:{2,7}:{(1178,1),(1222,1)}
1560:{2,5,6}:{(1179,1),(1222,1),(1223,1),(1749,1),(1750,1),(1947,1),(1948,1),(1950,1),(2045,1),(2616,1),(2619,1),(4826,1)}
1561:{2,5,7}:{(1180,1),(1223,1),(1306,1),(1307,1),(1947,1),(2045,1),(5095,1)}
1562:{1,2,4,7}:{(1134,1),(1181,1),(1221,1),(1224,1),(1752,1),(1753,1),(1840,1),(1876,1),(1942,1),(1969,1),(2555,1),(2659,1),(2687,1),(2758,1),(2802,1),(3555,1),(3786,1),(3800,1),(3923,1),(4983,1),(5070,1),(7131,1)}
1563:{2,4,7}:{(1182,1),(1225,1),(1305,1),(1307,1),(1877,1),(1949,1),(2861,1),(3699,1)}
1564:{2,4,5}:{(1183,1),(1223,1),(1225,1),(1749,1),(1750,1),(1842,1),(1878,1),(1950,1),(2016,1),(2544,1),(2547,1),(2760,1),(2863,1),(3787,1)}
1565:{1,2,4,6,7}:{(1136,1),(1184,1),(1218,1),(1226,1),(1234,1),(1743,1),(1879,1),(1897,1),(1940,1),(1953,1),(2528,1),(2626,1),(2685,1),(2758,1),(2872,1),(3544,1),(3900,1),(4596,1),(4863,1),(5707,1),(5935,1),(5981,1),(6066,1),(6803,1)}
1566:{1,4,6}:{(1137,1),(1235,1),(1308,1),(1310,1),(1880,1),(1953,1),(1954,1),(3844,1),(5707,1)}
1567:{1,4}:{(1138,1),(1236,1),(1881,1)}
1568:{1,2,4,6}:{(1139,1),(1185,1),(1227,1),(1239,1),(1882,1),(1937,1),(1949,1),(1952,1),(2683,1),(2909,1),(3844,1)}
1569:{1,2,4,7}:{(1140,1),(1186,1),(1251,1),(1785,1),(1840,1),(1883,1),(1899,1),(1957,1),(1975,1),(2018,1),(2019,1),(2050,1),(2051,1),(2555,1),(2645,1),(2683,1),(2687,1),(2744,1),(2806,1),(2807,1),(2830,1),(2926,1),(3507,1),(3658,1),(3726,1),(3786,1),(3844,1),(3848,1),(3849,1),(3909,1),(3986,1),(4006,1),(4712,1),(4714,1),(4729,1),(4773,1),(4774,1),(4862,1),(4925,1),(4982,1),(4983,1),(4985,1),(5070,1),(5707,1),(5744,1),(5745,1),(6014,1),(6019,1),(6065,1),(6176,1),(6188,1),(6832,1),(6984,1),(7131,1),(7716,1),(7841,2),(7902,1),(8545,1),(9445,1)}
1570:{1,2,6,7}:{(1141,1),(1187,1),(1229,1),(1230,1),(1892,1),(1976,1),(2028,1),(2668,1),(3596,1),(3625,1),(3689,1),(3800,1),(3923,1)}
1571:{1,2,5,7}:{(1123,1),(1188,1),(1231,1),(1243,1),(1766,1),(1893,1),(1958,1),(3555,1),(3596,1),(3597,1),(3800,1),(3855,1),(3923,1),(4656,1),(4665,1),(4718,1),(5095,1),(7131,1),(7942,1)}
1572:{1,2,5,7}:{(1142,1),(1189,1),(1232,1),(1233,1),(1756,1),(1903,1),(1911,1),(1961,1)}
1573:{1,2,5,6}:{(1143,1),(1190,1),(1236,1),(1239,1),(1937,1),(1952,1),(1960,1),(1964,1),(1966,1),(2044,1),(2045,1),(2615,1),(2876,1),(2882,1),(3830,1),(3918,1),(3919,1),(5894,1),(6180,1)}
1574:{1,2,5,7}:{(1144,1),(1191,1),(1234,1),(1235,1),(1757,1),(1953,1),(2638,1),(3946,1)}
1575:{1,2,5,7}:{(1145,1),(1192,1),(1236,1),(1242,1),(1937,1),(1955,1),(1959,1),(1962,1),(2045,1),(2046,1),(2612,1),(2669,1),(2882,1),(2937,1),(3830,1),(3850,1),(3855,1),(3896,1),(3920,1),(3984,1),(4757,1),(5095,1),(6180,1)}
1576:{1,2,7}:{(1146,1),(1193,1),(1237,1),(3919,1)}
1577:{1,2,5,7}:{(1147,1),(1194,1),(1238,1),(1241,1),(1757,1),(1902,1),(1965,1),(1967,1),(1972,1),(2808,1),(2813,1),(2884,1),(3700,1),(3922,1),(4597,1),(4837,1),(5070,1),(5071,1),(5962,1),(6180,1),(7053,1),(8545,1)}
1578:{1,2,5}:{(1148,1),(1195,1),(1240,1),(1966,1),(1973,1),(2882,1),(3919,1)}
1579:{1,2,6,7}:{(1149,1),(1196,1),(1221,1),(1239,1),(1946,1),(1964,1),(1969,1),(2876,1),(3918,1),(3919,1),(3923,1)}
1580:{1,2,6}:{(1150,1),(1197,1),(1240,1),(1960,1),(1969,1),(1970,1),(3919,1)}
1581:{1,2,4,6}:{(1151,1),(1198,1),(1237,1),(1241,1),(1759,1),(1760,1),(1915,1),(1965,1),(1967,1),(1989,1),(2827,1),(2829,1),(2888,1),(2909,1),(3844,1)}
1582:{1,4}:{(1152,1),(1238,1),(1990,1),(3919,1)}
1583:{1,2,4,7}:{(1153,1),(1199,1),(1240,1),(1968,1),(1969,1),(1973,1),(1974,1),(1975,1),(1991,1),(2802,1),(2830,1),(2891,1),(3839,1),(3919,1),(3923,1),(4592,1),(4729,1),(4983,1),(5070,1),(6176,1)}
1584:{1,2,4,6}:{(1154,1),(1228,1),(1252,1),(1294,1),(1295,1),(1899,1),(1936,1),(1959,1),(1975,1),(2051,1),(2800,1),(2828,1),(2880,1),(2967,1),(3972,1),(4006,1),(5119,1)}
1585:{2,3,6}:{(1201,1),(1229,1),(1246,1),(1731,1),(1734,1),(1812,1),(1895,1),(1947,1),(2005,1),(2539,1),(2616,1),(2619,1),(2726,1),(2945,1),(3611,1),(3731,1),(4826,1),(6106,1)}
1586:{2,3,5,7}:{(1202,1),(1230,1),(1245,1),(1253,1),(1764,1),(1813,1),(1896,1),(1948,1),(1976,1),(2002,1),(2541,1),(2714,1),(2784,1),(2796,1),(2942,1),(3800,1),(3984,1),(3991,1),(5095,1),(5102,1)}
1587:{1,2,3,6,7}:{(1157,1),(1203,1),(1232,1),(1248,1),(1913,1),(1917,1),(1932,1),(1969,1),(1977,1),(1981,1),(2648,1),(2876,1),(2887,1),(3492,1),(3593,1),(3596,1),(3624,1),(3690,1),(3692,1),(3762,1),(3880,1),(3881,1),(3919,1),(3921,1),(3923,1),(3931,1),(4734,1),(4780,1),(4782,1),(5076,1),(5833,1),(8079,1)}
1588:{1,2,3,5}:{(1158,1),(1204,1),(1233,1),(1248,1),(1767,1),(1901,1),(1914,1),(1918,1),(1933,1),(1960,1),(1970,1),(2580,1),(2664,1),(2721,1),(2837,1),(2883,1),(2888,1),(2916,1)}
1589:{1,2,3,6,7}:{(1159,1),(1205,1),(1234,1),(1249,1),(1866,1),(1879,1),(1897,1),(1979,1),(1981,1),(2026,1),(2028,1),(2712,1),(2808,1),(3499,1),(3594,1),(3689,1),(3754,1),(3900,1),(3991,1),(4596,1),(4695,1),(4731,1),(4781,1),(4812,1),(4947,1),(5831,1),(5981,1),(6104,1)}
1590:{1,2,3,5,6}:{(1160,1),(1206,1),(1235,1),(1249,1),(1314,1),(1316,1),(1770,1),(1868,1),(1880,1),(1884,1),(1898,1),(1979,1),(1985,1),(2035,1),(2036,1),(2558,1),(2583,1),(2655,1),(2665,1),(2710,1),(2717,1),(2791,1),(2793,1),(2866,1),(2928,1),(2929,1),(2967,1),(3499,1),(3583,1),(3594,1),(3612,1),(3661,1),(3686,1),(3689,1),(3700,1),(3754,1),(3777,1),(3817,1),(3900,1),(3951,1),(4575,1),(4596,1),(4687,1),(4695,1),(4757,1),(4812,1),(4824,1),(4965,1),(5119,1),(5721,1),(5826,1),(5861,1),(5894,1),(6104,1),(6761,1),(6887,1),(6915,1),(7766,1),(8545,1)}
1591:{1,2,3,5}:{(1161,1),(1207,1),(1236,1),(1252,1),(1881,1),(1899,1),(1959,1),(1986,1),(2655,1),(2719,1),(2792,1),(2950,1),(3583,1)}
1592:{1,2,3,6}:{(1162,1),(1208,1),(1237,1),(1250,1),(1768,1),(1915,1),(1981,1),(3613,1),(3659,1),(3952,1)}
1593:{1,2,3,5}:{(1163,1),(1209,1),(1238,1),(1250,1),(1770,1),(1902,1),(1916,1),(1988,1),(1990,1),(2583,1),(2655,1),(2665,1),(2838,1),(2884,1),(2918,1),(3583,1),(3700,1),(3948,1),(5024,1),(5071,1)}
1594:{1,2,3,6}:{(1164,1),(1210,1),(1239,1),(1251,1),(1865,1),(1882,1),(1936,1),(1957,1),(1985,1),(2021,1),(2022,1),(2567,1),(2726,1),(2775,1),(2777,1),(2791,1),(2880,1),(2907,1),(2909,1),(2945,1),(2967,1),(3553,1),(3659,1),(3688,1),(3689,1),(3777,1),(3799,1),(3825,1),(3900,1),(3913,1),(3926,1),(3927,1),(3952,1),(3995,1),(4596,1),(4695,1),(4698,1),(4824,1),(4937,1),(4952,1),(4958,1),(5069,1),(5119,1),(5729,1),(5843,1),(5894,1),(5969,1),(6005,1),(6075,1),(6104,1),(6106,1),(6167,1),(6186,1),(6772,1),(6887,2),(6903,1),(7016,1),(7017,1),(7124,1),(8545,1),(9096,1)}
1595:{1,2,3}:{(1165,1),(1211,1),(1240,1),(1975,1),(1988,1)}
1596:{1,2,3,7}:{(1166,1),(1212,1),(1241,1),(1250,1),(1935,1),(1989,1),(1990,1),(2663,1),(2918,1),(3495,1),(5059,1),(5853,1),(5855,1),(6817,1),(7124,1)}
1597:{1,2,3,6,7}:{(1167,1),(1213,1),(1242,1),(1252,1),(1865,1),(1881,1),(1882,1),(1980,1),(1991,1),(2020,1),(2021,1),(2057,1),(2058,1),(2565,1),(2657,1),(2780,1),(2785,1),(2786,1),(2901,1),(2902,1),(2907,1),(2909,1),(2912,1),(2947,1),(3689,1),(3757,1),(3762,1),(3800,1),(3825,1),(3946,1),(3947,1),(3958,1),(3959,1),(3991,1),(4695,1),(4807,1),(5102,1),(5119,1),(5969,1),(7124,1)}
1598:{4,7}:{(1254,1),(1823,1),(2003,1)}
1599:{7}:{(1255,1)}
1600:{2,7}:{(1256,1),(1773,1)}
1601:{3,4,5}:{(1258,1),(1260,1),(1779,1),(2015,1),(2029,1),(2669,1),(2693,1),(2719,1),(3709,1),(3711,1),(3749,1),(3751,1),(3976,1),(4849,1),(4862,1),(4868,1),(5745,1),(5763,1),(6012,1),(6021,1),(6220,1),(6825,1),(6832,1)}
1602:{4,5}:{(1257,1),(1261,1),(1993,1),(3726,1)}
1603:{4,5}:{(1259,1),(1262,1),(1995,1),(2016,1)}
1604:{3,4,7}:{(1258,1),(1280,1),(1785,1),(2032,1),(2676,1),(2925,1),(3724,1),(3749,1),(3757,1),(4862,1),(4864,1),(5102,1),(5745,1),(6016,1),(6829,1)}
1605:{4,7}:{(1259,1),(1279,1),(2000,1),(2926,1)}
1606:{4,7}:{(1257,1),(1278,1),(1999,1),(3848,1)}
1607:{2,3,5,6}:{(1256,1),(1261,1),(1771,1),(1787,1),(1993,1),(2004,1),(2007,1),(2036,1),(2517,1),(2710,1),(2733,1),(2754,1),(2920,1),(2929,1),(3777,1)}
1608:{3,5,6}:{(1254,1),(1260,1),(2003,1),(2006,1),(2037,1)}
1609:{3,5,6}:{(1255,1),(1262,1),(1771,1),(1787,1),(1995,1),(2002,1),(2005,1),(2035,1),(2919,1),(2928,1)}
1610:{2,3,5,7}:{(1261,1),(1271,1),(1284,1),(1772,1),(1809,1),(1997,1),(2007,1),(2520,1),(2734,1),(2950,1),(3684,1),(3991,1),(4816,1),(5095,2),(5096,1),(6055,1)}
1611:{3,5,7}:{(1260,1),(1270,1),(1285,1),(2006,1),(2719,1),(3757,1)}
1612:{3,5,7}:{(1262,1),(1269,1),(1286,1),(1772,1),(1996,1),(2005,1),(3976,1),(5095,1),(5102,1)}
1613:{3,4,6,7}:{(1264,1),(1266,1),(1288,1),(1816,1),(2010,1),(2020,1),(2042,1),(2923,1),(2925,1),(5102,1)}
1614:{3,4,6}:{(1263,1),(1268,1),(1287,1),(2000,1),(2008,1),(2021,1),(2041,1),(2926,1),(2947,1)}
1615:{3,4,6}:{(1265,1),(1267,1),(1289,1),(1999,1),(2009,1),(2022,1),(2043,1),(2539,1),(2674,1),(2927,1),(2946,1),(3521,1),(3539,1),(3754,1),(4695,1),(4747,1),(4863,1),(4870,1),(5745,1),(5943,1),(6039,1),(6106,1),(6765,1),(7102,1),(7201,1),(7717,1)}
1616:{4,6}:{(1272,1),(1276,1),(5745,1),(6014,1)}
1617:{4,6}:{(1274,1),(1277,1),(4860,1),(6106,1)}
1618:{3,4,5,6,7}:{(1273,1),(1275,1),(1835,1),(1994,1),(2001,1),(2047,1),(2669,1),(2676,1),(2732,1),(2752,1),(2763,1),(2785,1),(3703,1),(3705,1),(3708,1),(3711,1),(3724,1),(3730,1),(3731,1),(3732,1),(3744,1),(3751,1),(3757,1),(3816,1),(4847,1),(4848,1),(4853,2),(4854,1),(4860,1),(4861,1),(4862,1),(4866,1),(4869,1),(4878,1),(4879,1),(4880,1),(4889,1),(4890,1),(4892,1),(5095,1),(5102,1),(5745,1),(5754,1),(6007,1),(6008,1),(6013,1),(6014,1),(6015,1),(6016,1),(6020,1),(6021,1),(6022,2),(6028,1),(6036,1),(6039,1),(6106,1),(6829,1),(6863,1),(7095,1),(7096,1),(7098,1),(7102,1),(7106,1),(7124,1),(7248,1),(7787,1),(7788,1),(7796,1),(7842,1),(8026,1),(8040,1)}
1619:{2,4}:{(1257,1),(1281,1),(2544,1),(2926,1),(3726,1)}
1620:{2,4}:{(1259,1),(1283,1),(2016,1)}
1621:{2,3,4,6}:{(1258,1),(1282,1),(1842,1),(2015,1),(2017,1),(2052,1),(2735,1),(2741,1),(2792,1),(2943,1),(3749,1),(3785,1),(3807,1),(3819,1),(3825,1),(3972,1),(4862,1),(4924,1),(4932,1),(4941,1),(5843,1),(6832,1),(6887,1),(7796,1),(7841,1)}
1622:{2,3,6}:{(1263,1),(1279,1),(1304,1),(2000,1),(2005,1),(2945,1)}
1623:{2,3,6,7}:{(1264,1),(1280,1),(1303,1),(1865,1),(2001,1),(2006,1),(2785,1),(2943,1),(3731,1),(3757,1),(3819,1),(3825,1),(3991,1),(4695,1),(4892,1),(4949,1),(5102,1),(5831,1),(6020,1),(6863,1),(7124,1),(7160,1),(7248,1),(8040,1)}
1624:{2,3,6}:{(1265,1),(1278,1),(1302,1),(1999,1),(6106,1)}
1625:{2,3,5,7}:{(1267,1),(1281,1),(1305,1),(1873,1),(1877,1),(2018,1),(2022,1),(2056,1),(2734,1),(2773,1),(2938,1),(2952,1),(3561,1),(3956,1),(3994,1),(4675,1),(5083,1),(5809,1),(6164,1),(6902,1),(7869,1),(8505,1)}
1626:{2,3,7}:{(1268,1),(1283,1),(1307,1),(2019,1),(2021,1),(2057,1),(5102,1)}
1627:{2,3,7}:{(1266,1),(1282,1),(1306,1),(2058,1),(2942,1),(2947,1),(3800,1)}
1628:{3}:{(1310,1)}
1629:{3}:{(1308,1)}
1630:{1,3,6}:{(1309,1),(1881,1),(2024,1),(2785,1),(4807,1),(5119,1),(6020,1),(6761,1),(6817,1),(6863,1),(7124,1)}
1631:{1,2,6}:{(1256,1),(1284,1),(1885,1),(2007,1),(2945,1),(3553,1),(3594,1),(3777,1),(6104,1)}
1632:{1,6}:{(1255,1),(1286,1),(2005,1)}
1633:{1,4,6}:{(1254,1),(1285,1),(1936,1),(2006,1),(2037,1),(2678,1)}
1634:{5,6}:{(1289,1),(1887,1),(1889,1)}
1635:{5}:{(1287,1)}
1636:{5,7}:{(1288,1),(1888,1),(2669,1)}
1637:{1,4,6}:{(1258,1),(1315,1),(1899,1),(2029,1),(2032,1),(3871,1),(3972,1),(4006,1),(5007,1),(5119,1),(5745,1),(7796,1)}
1638:{1,4}:{(1257,1),(1316,1),(2012,1),(2926,1),(3507,1),(3726,1)}
1639:{1,4}:{(1259,1),(1314,1),(2011,1)}
1640:{1,5}:{(1260,1),(1294,1),(2669,1)}
1641:{1,2,5}:{(1261,1),(1293,1),(1884,1),(1902,1),(2031,1),(2583,1),(2937,1),(3550,1),(4965,1)}
1642:{1,5}:{(1262,1),(1295,1)}
1643:{1,3,5,6}:{(1263,1),(1291,1),(1298,1),(1807,1),(1923,1),(2008,1),(2041,1),(2833,1)}
1644:{1,3,5,6}:{(1265,1),(1292,1),(1297,1),(1807,1),(1923,1),(2009,1),(2043,1),(2710,1),(2713,1),(2793,1),(2831,1),(2833,1),(2836,1),(3512,1),(3594,1),(3608,1),(3609,1),(3754,1),(3852,1),(4695,1),(4747,1),(4757,1),(4986,1),(5826,1),(5888,1),(5904,1),(6039,1),(6104,1),(6106,1)}
1645:{1,3,5,6,7}:{(1264,1),(1290,1),(1296,1),(1920,1),(2010,1),(2042,1),(2714,1),(2839,1),(3526,1),(3625,1),(3877,1)}
1646:{1,4,7}:{(1268,1),(1298,1),(1301,1),(1795,1),(2041,1),(2057,1),(2526,1),(5745,1)}
1647:{1,4,7}:{(1266,1),(1296,1),(1300,1),(2058,1)}
1648:{1,4,5,7}:{(1267,1),(1297,1),(1299,1),(1795,1),(1926,1),(1930,1),(2034,1),(2043,1),(2056,1),(2526,1),(2598,1),(2677,1),(2700,1),(2701,1),(2819,1),(2833,1),(2956,1),(3505,1),(3658,1),(3713,1),(3844,1),(3861,1),(3946,1),(3948,1),(4730,1),(4757,1),(4860,1),(4992,1),(5745,3),(5888,1),(6814,1),(6825,1),(6829,1),(6978,1),(6984,1)}
1649:{1,3,4,6,7}:{(1269,1),(1295,1),(1317,1),(1822,1),(1897,1),(1935,1),(2000,1),(2005,1),(2011,1),(2028,1),(2033,1),(2039,1),(2529,1),(2591,1),(2611,1),(2712,1),(2723,1),(2808,1),(2827,1),(2831,1),(2923,1),(2928,1),(2935,1),(2958,1),(2963,1),(3594,1),(3713,1),(3754,1),(3858,1),(3879,1),(3972,1),(3980,1),(4006,1),(4695,1),(4731,1),(4740,1),(4863,1),(4982,1),(5102,1),(5119,1),(5745,1),(5777,1),(5779,1),(5831,1),(5879,1),(6047,1),(6104,1),(6829,1),(6863,1),(7796,1)}
1650:{1,3,4,6,7}:{(1270,1),(1294,1),(1318,1),(2001,1),(2006,1),(2013,1),(2027,1),(2032,1),(2040,1),(2962,1),(3757,1),(4695,1),(4799,1),(4843,1),(5745,1),(5777,1),(5779,1),(5831,1),(5879,1),(5913,1),(5992,1),(6137,1),(6829,1),(6863,1),(7796,1)}
1651:{1,2,3,4,6,7}:{(1271,1),(1293,1),(1319,1),(1822,1),(1897,1),(1935,1),(1999,1),(2007,1),(2012,1),(2026,1),(2034,1),(2038,1),(2529,1),(2591,1),(2611,1),(2712,1),(2723,1),(2742,1),(2744,1),(2767,1),(2790,1),(2791,1),(2808,1),(2827,1),(2831,1),(2872,1),(2893,1),(2894,1),(2917,1),(2918,1),(2924,1),(2929,1),(2934,1),(2952,1),(2960,1),(2961,1),(2975,1),(3546,1),(3594,1),(3634,1),(3671,1),(3672,1),(3696,1),(3698,1),(3700,1),(3713,1),(3726,1),(3747,1),(3754,1),(3768,1),(3777,1),(3798,1),(3826,1),(3847,1),(3849,1),(3858,1),(3872,1),(3879,1),(3893,1),(3900,1),(3913,1),(3922,1),(3926,1),(3945,1),(3951,1),(3965,1),(3972,1),(3973,1),(3982,1),(3987,1),(3989,1),(3991,1),(3997,1),(4004,1),(4006,1),(4014,1),(4595,1),(4596,1),(4597,1),(4628,1),(4629,1),(4640,1),(4695,2),(4698,1),(4712,1),(4714,1),(4729,1),(4731,1),(4740,1),(4774,1),(4812,1),(4814,1),(4816,1),(4824,1),(4856,1),(4863,3),(4864,1),(4865,1),(4870,1),(4897,1),(4900,1),(4904,1),(4924,1),(4947,1),(4951,1),(4974,1),(4978,1),(4982,4),(4983,1),(4985,1),(5003,1),(5011,1),(5024,1),(5044,1),(5047,1),(5059,1),(5070,1),(5071,1),(5081,1),(5091,1),(5092,1),(5102,1),(5112,1),(5119,1),(5705,1),(5707,1),(5729,1),(5732,1),(5744,1),(5745,2),(5767,1),(5770,1),(5777,2),(5778,1),(5779,1),(5781,1),(5783,1),(5784,1),(5799,1),(5831,2),(5834,1),(5835,1),(5843,1),(5853,1),(5855,1),(5879,1),(5880,1),(5894,1),(5904,1),(5906,1),(5935,1),(5939,1),(5942,1),(5943,1),(5969,1),(5981,1),(6002,1),(6035,1),(6039,1),(6047,4),(6052,1),(6079,1),(6100,1),(6104,4),(6106,1),(6118,1),(6119,1),(6123,1),(6127,1),(6135,1),(6137,1),(6139,1),(6151,1),(6160,1),(6167,1),(6186,1),(6187,1),(6188,1),(6193,1),(6194,1),(6199,1),(6224,1),(6228,1),(6233,1),(6759,1),(6761,1),(6772,2),(6803,1),(6805,1),(6808,1),(6812,1),(6817,1),(6819,1),(6828,1),(6829,2),(6832,1),(6847,1),(6863,1),(6864,1),(6886,1),(6887,2),(6902,1),(6903,1),(6912,1),(6941,1),(6948,1),(6953,1),(6978,1),(6980,1),(6984,1),(7002,1),(7003,1),(7010,1),(7011,1),(7016,1),(7017,1),(7039,1),(7052,1),(7053,1),(7055,1),(7057,1),(7073,1),(7080,1),(7084,1),(7089,1),(7102,3),(7124,3),(7125,1),(7131,3),(7160,1),(7182,1),(7198,1),(7206,1),(7227,1),(7242,1),(7245,1),(7248,1),(7716,2),(7720,1),(7773,1),(7775,1),(7796,3),(7806,1),(7841,2),(7847,1),(7848,1),(7870,1),(7902,1),(7908,1),(7909,1),(7917,1),(7935,1),(7954,1),(7982,1),(7984,1),(8040,3),(8075,1),(8078,1),(8098,1),(8106,1),(8505,1),(8517,1),(8537,1),(8545,4),(8550,1),(8556,1),(8561,1),(8618,1),(8630,1),(8660,1),(9096,1),(9445,1)}
1652:{2,6}:{(1289,1),(1305,1)}
1653:{2,4,6,7}:{(1288,1),(1306,1),(1947,1),(2020,1),(2046,1),(2741,1),(2862,1),(2925,1)}
1654:{2,6}:{(1287,1),(1307,1),(2045,1)}
1655:{1,4,5,7}:{(1274,1),(1308,1),(1313,1),(1953,1),(1954,1),(2023,1),(2031,1),(2034,1),(2049,1),(2802,1),(2803,1),(2861,1),(2863,1),(2956,1),(2960,1),(3710,1),(3830,1),(3839,1),(3844,1),(3946,1),(3948,1),(4860,1),(4992,1),(5707,1),(5709,1),(6775,1),(6803,1),(6814,1)}
1656:{1,4,5,7}:{(1272,1),(1310,1),(1311,1),(1953,1),(1954,1),(2025,1),(2030,1),(2033,1),(2048,1),(2955,1),(2958,1),(3654,1),(3658,1),(3844,1),(4757,1),(4764,1),(5095,1),(5707,1),(5745,1),(6218,1),(6775,1),(6803,1),(6984,1),(7249,1),(9445,1)}
1657:{1,4,5,7}:{(1273,1),(1309,1),(1312,1),(2024,1),(2029,1),(2032,1),(2882,1),(2891,1),(3855,1),(3871,1),(5095,1),(6775,1),(6803,1),(7249,1),(7976,1),(8517,1),(9072,1),(9445,1)}
1658:{1,2,5,6}:{(1276,1),(1291,1),(1304,1),(1311,1),(1965,1),(2035,1),(2045,1),(2048,1),(2641,1),(2793,1),(2967,1),(3594,1),(3689,1),(3900,1),(4757,1),(4807,1),(5119,1),(6104,1),(6180,1),(6225,1),(6957,1),(7016,1)}
1659:{1,2,5,6,7}:{(1275,1),(1290,1),(1303,1),(1312,1),(1962,1),(2037,1),(2046,1),(2047,1),(2669,1),(2859,1),(2875,1),(2885,1),(2969,1),(3645,1),(3703,1),(3705,1),(3770,1),(3896,1),(3984,1),(4757,1),(5030,1),(5032,1),(5069,1),(5095,1),(5917,1),(6007,1),(6106,1),(6167,1),(6180,1),(6185,1),(6186,1),(6188,1),(6225,1),(6226,1),(6957,1),(7016,1),(7131,1),(7213,1),(7219,1)}
1660:{1,2,5,6}:{(1277,1),(1292,1),(1302,1),(1313,1),(1965,1),(2044,1),(2049,1),(2641,1),(2793,1),(2876,1),(3594,1),(3769,1),(3830,1),(3900,1),(3913,1),(3918,1),(4964,1),(4986,1),(5733,1),(5894,1),(6104,1),(6106,1),(6167,1),(6784,1)}
1661:{1,2,3,5,7}:{(1280,1),(1296,1),(1312,1),(1315,1),(1318,1),(2024,1),(2032,1),(2040,1),(2058,1),(2875,1),(2902,1),(2949,1),(2953,1),(2972,1),(3693,1),(3757,1),(3855,1),(3991,1),(4843,1),(5012,1),(5095,1),(6188,1),(6233,1),(6915,1),(6930,1),(7249,1)}
1662:{1,2,3,5,7}:{(1278,1),(1297,1),(1313,1),(1316,1),(1319,1),(1868,1),(2023,1),(2034,1),(2055,1),(2056,1),(2556,1),(2665,1),(2773,1),(2774,1),(2778,1),(2897,1),(2952,1),(3491,1),(3679,1),(3681,1),(3700,1),(3818,1),(3946,1),(3948,1),(3950,1),(3994,1),(4597,1),(4628,1),(4629,1),(4827,1),(4992,1),(5024,1),(5054,1),(5070,1),(5071,1),(5092,1),(6002,1),(6036,1),(6047,1),(6091,1),(6180,1),(6814,1),(6915,1),(7124,1),(7131,1),(7727,1),(7766,1),(8505,1),(8545,1)}
1663:{1,2,3,5,7}:{(1279,1),(1298,1),(1311,1),(1314,1),(1317,1),(1868,1),(2025,1),(2033,1),(2039,1),(2054,1),(2057,1),(2556,1),(2665,1),(2950,1),(2954,1),(2971,1),(3491,1),(3686,1),(3700,1),(3818,1),(3984,1),(3991,1),(3993,1),(4597,1),(5054,1),(5095,1),(5102,1),(5116,1),(6047,1),(6233,1),(6915,1),(6930,1),(7249,1),(7766,1),(8545,1)}
1664:{1,2,5}:{(1281,1),(1299,1),(1985,1),(1988,1),(2050,1),(3562,1),(3700,1),(5071,1),(8545,1)}
1665:{1,2}:{(1283,1),(1301,1)}
1666:{1,2,6}:{(1282,1),(1300,1),(1986,1),(2058,1)}
1667:{3,5}:{(1321,1),(1327,1),(2066,1),(2135,1),(3000,1)}
1668:{3,5,7}:{(1323,1),(1324,1),(1417,1),(2064,1),(2137,1),(3105,1)}
1669:{3,5,6}:{(1320,1),(1326,1),(1416,1),(2063,1),(2138,1),(2220,1),(2999,1),(3173,1),(4163,1),(4311,1),(5135,1),(5179,1),(5543,1)}
1670:{3,5,6,7}:{(1322,1),(1325,1),(1416,1),(1417,1),(2065,1),(2136,1),(2217,1),(2219,1),(3104,1),(5206,1),(5236,1),(6372,1)}
1671:{3,4,6}:{(1351,1),(1411,1),(1429,1),(2062,1),(2068,1),(2141,1),(3006,1),(3440,1),(4538,1)}
1672:{4}:{(1350,1)}
1673:{4}:{(1348,1),(2061,1)}
1674:{3,4,6}:{(1349,1),(1411,1),(1429,1),(2060,1),(2070,1),(2139,1),(2214,1),(2215,1),(2998,1),(3114,1),(3178,1),(3185,1),(3188,1),(3189,1),(3191,1),(3212,1),(3232,1),(3440,1),(4043,1),(4053,1),(4278,1),(4288,2),(4310,1),(4324,1),(4328,1),(4409,1),(4534,1),(4536,1),(4538,1),(5178,1),(5195,1),(5446,1),(5477,1),(5486,1),(5621,1),(6288,1),(6289,2),(6299,1),(6301,1),(6302,1),(6572,1),(6577,1),(7322,2),(7489,1),(7606,1),(8203,1),(8234,1),(8419,1)}
1675:{3,6}:{(1331,1),(1352,1),(2074,1),(3064,1)}
1676:{3,6,7}:{(1330,1),(1354,1),(1437,1),(2072,1),(3105,1)}
1677:{3,6}:{(1328,1),(1355,1)}
1678:{3,6,7}:{(1329,1),(1353,1),(1437,1),(2243,1)}
1679:{3,5}:{(1334,1),(1358,1),(2147,1),(4060,1)}
1680:{3,5}:{(1333,1),(1359,1),(2061,1),(2086,1)}
1681:{3,4,5}:{(1335,1),(1356,1),(1436,1),(2115,1),(2148,1),(2215,1),(2229,1),(2241,1),(3014,1),(3189,1),(3212,1),(3232,1),(3285,1),(4053,1),(4328,1)}
1682:{3,4,5}:{(1332,1),(1357,1),(1436,1),(2059,1),(2084,1),(2116,1),(2215,1),(2229,1),(3212,1),(4311,1),(5247,1),(5440,1),(5441,1),(5470,1),(6299,1),(6307,1),(7257,1),(7322,1)}
1683:{3,4,7}:{(1329,1),(1335,1),(1360,1),(2119,1),(2152,1),(2227,1),(3204,1),(3283,1)}
1684:{3,4,7}:{(1328,1),(1332,1),(1361,1),(2069,1),(2082,1),(2120,1),(2227,1)}
1685:{3,4,7}:{(1331,1),(1333,1),(1363,1),(2067,1),(2078,1),(2081,1),(2121,1),(3030,1),(4051,1),(5184,1),(6353,1),(7282,1)}
1686:{3,4,7}:{(1330,1),(1334,1),(1362,1),(2076,1),(2122,1),(2151,1),(3027,1),(3283,1),(4120,1)}
1687:{2,5,6,7}:{(1322,1),(1339,1),(1456,1),(1457,1),(2087,1),(2199,1),(2200,1),(2256,1),(2258,1),(3173,1),(3233,1),(3239,1),(3240,1),(4066,1),(5489,1),(5660,1),(6607,1),(6608,1)}
1688:{2,5}:{(1321,1),(1338,1),(2089,1)}
1689:{2,5,6}:{(1320,1),(1336,1),(1456,1),(2090,1),(2199,1),(2257,1),(3171,1),(3239,1),(5660,1)}
1690:{2,5,7}:{(1323,1),(1337,1),(1457,1),(2088,1),(2200,1),(4045,1),(5495,1),(7584,1)}
1691:{2,3,6}:{(1326,1),(1336,1),(1341,1),(2097,1),(2171,1),(3039,1),(3261,1),(5410,1),(5495,1)}
1692:{2,3,6,7}:{(1324,1),(1337,1),(1340,1),(1474,1),(2093,1),(2096,1),(2173,1),(2216,1),(3196,1),(3262,1),(5489,1),(6362,1),(6638,1)}
1693:{2,3,6}:{(1327,1),(1338,1),(1342,1),(2091,1),(2098,1),(2174,1),(3041,1),(4249,1),(5179,1)}
1694:{2,3,6,7}:{(1325,1),(1339,1),(1343,1),(1474,1),(2095,1),(2172,1),(2216,1),(2273,1),(3258,1),(3262,1),(4117,1),(5495,1),(6269,1)}
1695:{2,4,7}:{(1342,1),(1347,1),(1424,1),(2067,1),(2098,1),(2100,1),(5165,1),(5215,1)}
1696:{3,4,7}:{(1343,1),(1345,1),(1463,1),(2175,1),(2209,1),(2310,1),(3184,1),(3225,1),(3283,1),(4323,1),(6350,1),(6507,1),(7271,1)}
1697:{2,4,7}:{(1341,1),(1346,1),(1424,1),(2069,1),(2097,1),(2209,1),(3186,1),(4026,1),(4079,1),(4410,1),(5355,1),(5495,1)}
1698:{3,4,7}:{(1340,1),(1344,1),(1463,1),(2101,1),(2176,1),(2310,1),(3283,1)}
1699:{3,4,5}:{(1345,1),(1464,1),(1476,1),(2179,1),(2210,1),(2214,1),(2279,1),(2311,1),(3114,1),(3173,1),(3189,1),(3212,1),(3226,1),(3285,1),(4311,1),(4328,1),(5361,1),(6338,1),(7257,1),(7322,1)}
1700:{3,5}:{(1344,1),(1464,1),(2180,1)}
1701:{2,4,5}:{(1346,1),(1425,1),(1476,1),(2059,1),(2104,1),(2210,1),(2214,1),(2280,1),(2283,1),(3180,1),(3189,1),(3244,1),(3249,1),(3269,1),(4337,1),(5495,1),(6346,1),(7322,1),(7383,1),(7584,1)}
1702:{2,5}:{(1347,1),(1425,1),(2061,1),(2106,1),(2283,1)}
1703:{2,3,7}:{(1331,1),(1348,1),(1378,1),(2067,1),(2114,1),(5184,1),(5215,1)}
1704:{2,3,5,7}:{(1329,1),(1349,1),(1376,1),(1490,1),(2070,1),(2111,1),(2119,1),(2216,1),(2221,1),(2301,1),(2310,1),(3002,1),(3010,1),(3065,1),(3199,1),(3216,1),(3221,1),(3225,1),(3262,1),(3283,1),(3287,1),(3295,1),(3442,1),(3443,1),(4117,1),(4120,1),(4123,1),(4156,1),(4296,1),(4311,1),(4315,1),(4323,1),(4326,1),(4339,1),(4367,1),(4389,1),(4511,1),(5190,1),(5235,1),(5244,1),(5246,1),(5257,1),(5259,2),(5319,1),(5406,1),(5472,1),(5481,1),(5495,1),(5504,1),(5512,1),(5535,1),(5546,1),(5677,1),(6243,1),(6248,1),(6315,1),(6317,1),(6321,1),(6346,1),(6362,1),(6371,2),(6402,1),(6749,1),(7257,1),(7271,2),(7387,2),(7389,1),(7434,1),(7489,1),(8134,1),(8323,1),(9523,1)}
1705:{2,3,5,7}:{(1328,1),(1350,1),(1377,1),(1490,1),(2069,1),(2112,1),(2120,1),(2221,1),(2999,1),(3038,1),(3053,1)}
1706:{2,3,7}:{(1330,1),(1351,1),(1379,1),(2068,1),(2216,1),(2310,1),(3283,1),(3442,1),(3443,1),(4120,1),(5259,1)}
1707:{2,3,6}:{(1334,1),(1383,1),(1497,1),(2118,1),(2122,1),(2193,1),(4368,1),(6346,1)}
1708:{2,3,6}:{(1335,1),(1380,1),(1497,1),(2115,1),(2119,1),(2194,1),(2283,1),(3039,1),(3267,1),(3426,1),(5495,1),(6346,1)}
1709:{2,3}:{(1332,1),(1381,1),(2110,1),(2283,1),(5495,1)}
1710:{2,3}:{(1333,1),(1382,1),(2109,1),(5495,1)}
1711:{1,5}:{(1321,1),(1352,1),(2074,1),(3000,1)}
1712:{1,5,7}:{(1323,1),(1354,1),(1502,1),(2072,1),(2123,1)}
1713:{1,5,6,7}:{(1322,1),(1353,1),(1501,1),(1502,1),(2073,1),(2126,1),(2318,1),(2319,1),(3068,1),(3090,1)}
1714:{1,5,6}:{(1320,1),(1355,1),(1501,1),(2071,1),(2125,1),(2999,1)}
1715:{1,4,5,7}:{(1357,1),(1361,1),(1370,1),(1407,1),(2077,1),(2125,1),(2130,1),(2131,1),(2160,1),(3070,1),(3119,1),(4432,1),(5297,1),(5434,1),(5546,1),(5562,1),(6438,1),(6653,1),(6658,1)}
1716:{4,5,7}:{(1356,1),(1360,1),(1369,1),(2126,1),(2129,1),(2159,1),(5546,1)}
1717:{4,5,7}:{(1358,1),(1362,1),(1371,1),(2076,1),(2123,1),(2127,1),(2162,1),(3027,1),(4060,1)}
1718:{1,4,5,7}:{(1359,1),(1363,1),(1368,1),(1407,1),(2078,1),(2124,1),(2128,1),(2132,1),(2161,1),(3012,1),(3030,1),(3067,1),(3121,1),(4051,1),(4063,1)}
1719:{1,4,6}:{(1363,1),(1388,1),(1408,1),(2081,1),(2124,1),(2163,1),(3121,1),(4030,1),(5128,1)}
1720:{4,6,7}:{(1360,1),(1391,1),(1513,1),(2126,1),(2129,1),(3191,1)}
1721:{1,4,6}:{(1361,1),(1389,1),(1408,1),(2082,1),(2125,1),(2166,1),(3119,1)}
1722:{4,6,7}:{(1362,1),(1390,1),(1513,1),(2123,1),(2127,1),(4018,1),(5143,1)}
1723:{4,5,6}:{(1358,1),(1395,1),(1514,1),(2085,1),(2127,1),(2134,1),(2203,1),(2321,1),(3175,1),(4060,1),(4526,1),(5660,1)}
1724:{4,5,6}:{(1356,1),(1393,1),(1514,1),(2129,1),(2133,1),(2203,1),(2215,1),(2321,1),(3023,1),(3175,1),(3185,1),(3191,1),(4060,1),(4068,1),(4128,1),(4167,1),(4269,1),(4288,1),(4409,1),(4526,1),(5268,1),(5285,1),(5295,1),(5432,1),(5543,1),(5558,1),(5660,1),(6566,1),(6651,1),(8197,1),(8207,1)}
1725:{1,4,6}:{(1357,1),(1394,1),(1409,1),(2084,1),(2131,1),(2215,1),(2326,1),(3119,1),(3127,1),(3191,1),(4042,1),(4125,1),(4129,1),(4288,1),(4409,1),(5441,1),(5558,1),(6658,1),(7322,1)}
1726:{1,4,6}:{(1359,1),(1392,1),(1409,1),(2086,1),(2132,1),(2326,1),(3121,1)}
1727:{1,6,7}:{(1324,1),(1364,1),(1525,1),(2137,1),(5143,1)}
1728:{1,6,7}:{(1325,1),(1366,1),(1525,1),(2330,1),(3315,1)}
1729:{1,4,6}:{(1326,1),(1365,1),(1520,1),(2138,1),(2146,1),(2171,1),(2330,1),(3315,1)}
1730:{1,4,6}:{(1327,1),(1367,1),(1520,1),(2135,1),(2145,1),(2174,1),(2982,1),(3081,1)}
1731:{6}:{(1371,1)}
1732:{1,3,6}:{(1370,1),(1430,1),(1518,1),(2130,1),(2243,1),(2330,1),(4109,1),(4415,1),(4482,1),(5660,1),(5661,1),(7601,1),(8353,1)}
1733:{1,6}:{(1368,1),(1430,1)}
1734:{3,6}:{(1369,1),(1518,1),(2129,1),(2199,1),(5660,1)}
1735:{1,3,7}:{(1330,1),(1364,1),(1375,1),(2151,1),(4120,1)}
1736:{1,3,5,7}:{(1329,1),(1366,1),(1373,1),(1539,1),(2144,1),(2152,1),(2357,1),(3090,1),(3099,1)}
1737:{1,3,7}:{(1331,1),(1367,1),(1374,1),(2145,1),(2365,1)}
1738:{1,3,5,7}:{(1328,1),(1365,1),(1372,1),(1539,1),(2146,1),(2153,1),(2365,1),(3089,1),(3106,1),(3225,1),(3348,1),(4229,1),(4311,1),(4325,1),(7660,1)}
1739:{1,4,6}:{(1335,1),(1373,1),(1546,1),(2148,1),(2152,1),(2194,1),(2341,1),(3484,1),(3486,1)}
1740:{1,4,6}:{(1334,1),(1375,1),(1546,1),(2147,1),(2151,1),(2193,1),(3097,1),(3129,1),(3484,1),(3486,1),(4430,1)}
1741:{1,3,4}:{(1333,1),(1374,1),(1529,1),(2142,1),(2150,1),(2192,1),(2368,1),(3127,1)}
1742:{1,3,4}:{(1332,1),(1372,1),(1529,1),(2140,1),(2191,1),(2341,1),(2368,1)}
1743:{1,2,6}:{(1336,1),(1355,1),(1377,1),(2112,1),(2199,1),(3039,1),(3315,1)}
1744:{1,2,6}:{(1338,1),(1352,1),(1378,1),(2114,1),(2156,1),(3041,1),(5128,1)}
1745:{1,2,4,6,7}:{(1337,1),(1354,1),(1379,1),(1552,1),(1556,1),(2113,1),(2158,1),(2165,1),(2173,1),(2212,1),(2317,1),(2388,1),(2985,1),(2997,1),(3040,1),(3083,1),(3148,1),(3454,1),(3455,1),(3475,1),(3477,1),(4127,1),(4195,1),(4339,1),(4463,1),(4487,1),(4530,1),(4532,1),(5336,1),(5445,1),(5554,1),(5660,1),(5679,1),(6346,1),(7387,1)}
1746:{1,2,4,6,7}:{(1339,1),(1353,1),(1376,1),(1552,1),(1556,1),(2111,1),(2157,1),(2164,1),(2172,1),(2199,1),(2212,1),(2317,1),(2380,1),(2388,1),(2995,1),(3004,1),(3042,1),(3085,1),(3123,1),(3147,1),(3175,1),(3177,1),(3191,1),(3233,1),(3239,1),(3304,1),(3308,1),(3315,1),(3366,1),(3454,1),(3455,1),(3475,1),(3477,1),(4071,1),(4085,1),(4124,1),(4137,1),(4193,1),(4195,1),(4202,1),(4246,1),(4271,1),(4284,1),(4339,1),(4340,1),(4347,1),(4396,1),(4398,1),(4415,1),(4463,2),(4464,1),(4478,1),(4487,1),(4530,1),(4532,1),(5166,1),(5212,1),(5219,1),(5276,1),(5280,1),(5302,1),(5336,2),(5378,1),(5445,2),(5489,1),(5495,1),(5496,1),(5547,1),(5554,1),(5563,1),(5634,1),(5660,4),(5679,1),(6265,1),(6269,1),(6346,1),(6410,1),(6412,1),(6413,1),(6438,1),(6510,1),(6522,1),(6607,2),(6612,1),(6658,1),(6696,1),(6700,1),(6719,1),(6746,1),(7379,1),(7387,2),(7591,1),(7642,1),(7703,1),(8237,1),(8239,1),(8353,1)}
1747:{1,2,5}:{(1357,1),(1381,1),(1460,1),(2116,1),(2167,1),(4061,1),(4499,1),(5488,1),(5495,1),(6487,1),(7532,1)}
1748:{1,2,5}:{(1359,1),(1382,1),(1460,1),(2117,1),(2168,1),(4063,1),(4212,1),(5495,1)}
1749:{2,5}:{(1358,1),(1383,1),(4060,1),(6346,1)}
1750:{2,5}:{(1356,1),(1380,1)}
1751:{1,2,7}:{(1363,1),(1382,1),(1461,1),(2121,1),(2163,1),(3041,1),(6439,1),(8137,1)}
1752:{1,2,7}:{(1361,1),(1381,1),(1461,1),(2120,1),(2166,1),(6438,1)}
1753:{2,4,7}:{(1360,1),(1380,1),(1559,1),(2119,1),(2159,1),(5407,1)}
1754:{2,4,7}:{(1362,1),(1383,1),(1559,1),(2122,1),(2162,1),(3027,1),(3040,1),(6346,1)}
1755:{1,2,5,7}:{(1341,1),(1365,1),(1387,1),(1576,1),(2171,1),(2178,1),(2405,1),(2992,1),(3383,1),(3395,1),(4211,1),(5390,1),(5495,1)}
1756:{1,2,7}:{(1342,1),(1367,1),(1384,1),(2174,1),(6439,1)}
1757:{1,2,7}:{(1340,1),(1364,1),(1386,1),(2176,1),(6438,1)}
1758:{1,2,5,7}:{(1343,1),(1366,1),(1385,1),(1576,1),(2172,1),(2175,1),(2401,1),(2987,1),(3388,1),(6438,1)}
1759:{1,4,6}:{(1345,1),(1385,1),(1582,1),(2175,1),(2179,1),(2195,1),(2326,1),(3484,1),(3486,1),(6531,1),(6658,1)}
1760:{1,2,4}:{(1346,1),(1387,1),(1531,1),(2140,1),(2196,1),(2326,1)}
1761:{1,2,4}:{(1347,1),(1384,1),(1531,1),(2142,1),(2181,1),(2197,1),(3112,1)}
1762:{1,4,6}:{(1344,1),(1386,1),(1582,1),(2176,1),(2180,1),(2198,1),(2993,1),(3113,1),(3484,1),(3486,1),(4430,1)}
1763:{1,2,5,7}:{(1368,1),(1392,1),(1396,1),(1485,1),(2132,1),(2184,1),(2335,1),(3067,1),(3397,1)}
1764:{2,5,7}:{(1371,1),(1395,1),(1397,1),(2134,1),(2183,1),(2200,1)}
1765:{1,2,3,5,7}:{(1370,1),(1394,1),(1399,1),(1485,1),(1571,1),(2131,1),(2160,1),(2186,1),(2247,1),(2299,1),(2335,1),(2395,1),(3060,1),(3070,1),(3102,1),(3225,1),(3397,1),(4104,1),(4149,1),(4158,1),(4311,1),(4375,1),(4480,1),(4511,1),(5379,1),(5404,1),(5478,1),(5495,1),(5546,1),(5644,1),(6267,1),(6438,1),(7271,1)}
1766:{2,3,5,7}:{(1369,1),(1393,1),(1398,1),(1571,1),(2133,1),(2159,1),(2185,1),(2200,1),(2247,1),(2255,1),(3010,1),(3199,1),(3240,1),(4159,1),(4511,1),(5311,1),(5407,1),(5546,1),(6275,1),(7295,1),(7367,1)}
1767:{1,2,3}:{(1348,1),(1374,1),(1384,1),(2142,1),(2197,1)}
1768:{1,2,3,5}:{(1350,1),(1372,1),(1387,1),(1592,1),(2140,1),(2191,1),(2196,1),(2334,1),(3092,1),(3131,1),(3414,1)}
1769:{1,2,3,5,6}:{(1349,1),(1373,1),(1385,1),(1592,1),(1593,1),(2139,1),(2189,1),(2194,1),(2195,1),(2331,1),(2334,1),(2418,1),(2419,1),(2420,1),(2421,1),(3073,1),(3093,1),(3134,1),(3153,1),(3165,1),(3169,1),(3315,1),(3319,1),(3320,1),(3342,1),(3346,1),(3381,1),(3389,1),(3408,1),(3412,1),(3413,1),(3484,1),(3486,1),(4132,1),(4152,1),(4202,1),(4225,1),(4229,1),(4263,1),(4266,1),(4311,1),(4324,1),(4328,1),(4391,1),(4415,1),(4438,1),(4479,1),(4489,1),(4499,1),(4505,1),(4513,1),(4514,1),(4555,1),(4556,1),(4564,1),(4565,1),(5195,1),(5244,1),(5246,1),(5297,1),(5390,1),(5467,1),(5477,1),(5495,1),(5562,1),(5563,1),(5629,1),(5634,1),(5645,1),(5685,1),(6346,1),(6447,1),(6448,1),(6521,1),(6522,1),(6534,1),(6612,1),(6662,1),(6710,1),(6752,1),(7300,1),(7489,1),(7513,1),(7524,1),(7532,1),(7535,1),(7545,1),(7606,1),(7703,1),(8353,1)}
1770:{1,2,3,6}:{(1351,1),(1375,1),(1386,1),(1593,1),(2141,1),(2187,1),(2193,1),(2198,1),(2331,1),(3346,1),(3389,1),(3484,1),(3486,1),(4564,1)}
1771:{5,6}:{(1400,1),(1401,1),(2199,1),(2200,1)}
1772:{5,7}:{(1400,1),(1410,1),(2199,1)}
1773:{4,7}:{(1401,1),(1599,1),(1600,1),(2200,1),(2216,1)}
1774:{5,6}:{(1402,1),(1404,1),(2199,1),(3173,1)}
1775:{5,7}:{(1403,1),(1406,1)}
1776:{5}:{(1408,1)}
1777:{4,6,7}:{(1402,1),(1405,1),(1450,1),(2201,1),(2222,1),(4070,1)}
1778:{4,5}:{(1400,1),(1411,1),(2062,1),(2263,1),(2434,1),(2436,1),(4060,1),(4526,2),(5432,1)}
1779:{4,5}:{(1412,1),(1468,1),(2206,1),(3436,1),(4526,1)}
1780:{4,6}:{(1407,1),(1430,1),(2202,1),(2265,1)}
1781:{4,7}:{(1409,1),(1485,1)}
1782:{4}:{(1469,1)}
1783:{4,6}:{(1412,1),(1487,1),(2203,1),(2213,1),(2215,1)}
1784:{4,7}:{(1411,1),(1488,1)}
1785:{4,7}:{(1412,1),(1489,1),(2211,1),(3436,1)}
1786:{3,6}:{(1402,1),(1413,1),(2330,1)}
1787:{3,6}:{(1401,1),(1415,1),(2216,1),(2331,1)}
1788:{3,5,6}:{(1403,1),(1414,1),(1420,1),(2219,1),(2224,1),(2332,1),(3347,1)}
1789:{3,5,7}:{(1404,1),(1414,1),(1426,1),(2217,1),(2220,1),(2225,1),(2333,1),(2999,1),(3173,1),(4045,1),(4063,1),(4163,1),(4311,1),(5206,1),(5247,1),(5543,1),(5546,1)}
1790:{3,5}:{(1400,1),(1428,1),(2059,1),(2334,1),(2999,1)}
1791:{3,5,7}:{(1405,1),(1418,1),(1421,1),(2222,1),(2231,1),(2335,1),(5546,1)}
1792:{4,5}:{(1414,1),(1427,1),(2061,1),(2224,1),(2280,1)}
1793:{3,4,5}:{(1415,1),(1429,1),(1602,1),(1603,1),(2062,1),(2223,1),(2281,1),(2337,1),(2446,1),(2448,1),(3023,1),(3436,1),(3438,1),(4114,1),(4526,1),(4527,1)}
1794:{3,6,7}:{(1406,1),(1420,1),(1421,1),(2216,1),(2219,1),(2338,1)}
1795:{4}:{(1431,1),(2283,1)}
1796:{3,4,5,7}:{(1407,1),(1413,1),(1422,1),(1423,1),(2078,1),(2209,1),(2220,1),(2225,1),(2226,1),(2231,1),(2284,1),(2339,1),(3012,1),(3030,1),(3173,1),(3186,1),(3197,1),(3225,1),(3259,1),(3348,1),(4051,1),(4052,1),(4063,1),(4097,1),(4122,1),(4171,1),(4273,1),(4285,1),(4311,1),(4325,1),(4355,1),(4410,1),(5171,1),(5172,1),(5182,1),(5247,1),(5321,1),(5441,1),(5470,1),(5478,1),(5543,1),(5546,1),(6303,1),(6318,1),(6653,1),(7353,1),(7490,1),(8207,1)}
1797:{3,4,6}:{(1408,1),(1423,1),(1432,1),(2220,1),(2234,1),(2285,1),(2340,1),(3186,1),(3259,1),(4052,1),(4053,1),(4325,1),(5178,1),(5179,1)}
1798:{3,4,6}:{(1409,1),(1418,1),(1422,1),(2086,1),(2224,1),(2231,1),(2286,1),(2342,1),(3259,1),(3347,1),(4052,1),(4409,1)}
1799:{4,6}:{(1424,1),(1470,1),(2066,1),(3186,1),(4026,1)}
1800:{4,5,7}:{(1416,1),(1424,1),(1425,1),(2063,1),(2065,1),(2100,1),(2227,1),(5165,1),(5206,1)}
1801:{4,6}:{(1417,1),(1425,1),(2064,1),(2106,1)}
1802:{4,7}:{(1427,1),(1486,1),(2234,1),(3186,1),(4026,1),(5441,1)}
1803:{3,4,7}:{(1410,1),(1428,1),(1490,1),(2069,1),(2216,1),(2221,1),(2347,1),(3007,1),(4053,1),(4156,1)}
1804:{3,4,7}:{(1429,1),(1491,1),(1605,1),(1606,1),(2214,1),(2235,1),(2348,1),(2997,1),(3027,1),(3114,1),(3189,1),(3436,1),(3438,1),(3440,1),(4120,1),(4289,2),(4328,1),(4532,1),(4534,1),(4536,1),(5352,1),(5486,1),(6301,1),(6302,1),(6576,1),(7322,1),(7327,1),(7489,1)}
1805:{3,4}:{(1412,1),(1492,1),(2215,1),(2349,1),(3436,1)}
1806:{3,5,7}:{(1431,1),(1446,1),(1501,1),(2071,1),(2227,1),(4311,1)}
1807:{3,5,6}:{(1431,1),(1437,1),(1502,1),(2072,1),(2228,1),(2241,1),(5244,1)}
1808:{3,5}:{(1447,1),(1503,1),(2229,1)}
1809:{3,5,7}:{(1415,1),(1448,1),(1504,1),(2216,1),(2238,1),(2239,1),(2446,1),(2448,1),(3092,1),(3442,1),(3443,1),(4156,1)}
1810:{3,6,7}:{(1434,1),(1435,1),(1505,1),(2199,1),(2243,1),(3443,1),(5660,1)}
1811:{3,5,7}:{(1436,1),(1443,1),(1506,1),(2243,1),(3225,1),(4311,1),(5546,1)}
1812:{3,6}:{(1439,1),(1507,1)}
1813:{3,7}:{(1438,1),(1508,1)}
1814:{3,5,6}:{(1436,1),(1438,1),(1509,1),(2084,1),(2243,1),(2247,1),(3347,1),(4112,1),(4114,1),(4311,1),(4324,1),(5178,1),(5191,1),(5244,1),(5247,1),(5252,1),(5255,1),(6307,1)}
1815:{3,4,6,7}:{(1433,1),(1440,1),(1510,1),(1614,1),(1615,1),(2212,1),(2244,1),(2303,1),(2359,1),(3192,1),(3283,1),(4445,1),(5320,1),(6510,1),(7270,1),(8126,1)}
1816:{3,4,6}:{(1434,1),(1442,1),(1511,1),(2211,1),(2245,1),(2304,1),(2360,1),(2441,1),(3193,1),(3284,1),(4538,1),(5660,1)}
1817:{3,4,5,7}:{(1435,1),(1440,1),(1441,1),(1512,1),(2076,1),(2205,1),(2213,1),(2244,1),(2248,1),(2250,1),(2305,1),(2361,1),(2437,1),(3010,1),(3011,1),(3027,1),(3174,1),(3192,1),(3199,1),(3204,1),(3218,1),(3221,1),(3228,1),(3283,1),(3432,1),(3443,1),(4054,1),(4060,1),(4073,1),(4120,1),(4274,1),(4277,1),(4281,1),(4287,1),(4289,1),(4296,1),(4307,1),(4313,1),(4318,1),(4373,1),(4445,1),(4530,1),(4532,1),(4540,1),(5174,1),(5204,1),(5244,1),(5259,1),(5432,1),(5434,1),(5444,1),(5455,1),(5472,1),(5481,1),(5546,1),(5666,1),(6290,1),(6302,1),(6315,1),(6371,1),(6570,1),(6576,1),(6699,1),(6749,1),(7327,1),(7338,1),(7489,1),(7584,1),(8126,1),(8197,1),(8323,1)}
1818:{3,4,6}:{(1437,1),(1444,1),(1513,1),(2228,1),(2241,1),(2306,1),(2362,1),(3189,1),(4328,1)}
1819:{3,4,6}:{(1438,1),(1445,1),(1514,1),(2085,1),(2250,1),(2307,1),(2363,1),(4538,1)}
1820:{3,4,5,7}:{(1439,1),(1444,1),(1445,1),(1515,1),(2076,1),(2229,1),(2237,1),(2241,1),(2249,1),(2250,1),(2308,1),(2364,1),(3011,1),(3027,1),(3189,1),(3195,1),(3199,1),(3204,1),(3218,1),(3351,1),(4054,1),(4060,1),(4120,1),(4168,1),(4277,1),(4279,1),(4287,1),(4328,1),(4445,1),(5174,1),(5244,1),(5352,1),(5472,1),(5475,1),(5481,1),(5546,1),(6301,1),(6302,1),(6486,1),(6576,1),(6699,1),(7489,1),(7584,1)}
1821:{3,4,6,7}:{(1443,1),(1446,1),(1447,1),(1516,1),(2082,1),(2227,1),(2242,1),(2243,1),(2246,1),(2313,1),(3190,1),(3191,1),(3203,1),(3204,1),(4305,1),(4331,1),(5476,1),(6570,1)}
1822:{3,4,6}:{(1448,1),(1498,1),(1517,1),(2214,1),(2238,1),(2239,1),(3178,1)}
1823:{2,7}:{(1449,1),(1598,1),(1599,1)}
1824:{2,5}:{(1400,1),(1467,1),(2203,1),(4526,1)}
1825:{2,6}:{(1402,1),(1451,1)}
1826:{2,5,6}:{(1403,1),(1452,1),(1458,1),(2258,1),(2261,1),(3173,1),(4269,1),(4337,1),(5489,1),(5495,1),(6612,1),(7584,1)}
1827:{2,5,7}:{(1404,1),(1452,1),(1466,1),(2256,1),(2257,1),(2262,1),(3173,1),(3174,1),(5546,1)}
1828:{2,4,6}:{(1401,1),(1449,1),(1454,1),(2206,1),(2254,1),(2259,1),(2277,1),(2453,1),(3034,1),(3185,1),(6612,1)}
1829:{2,4,5,7}:{(1405,1),(1451,1),(1453,1),(1459,1),(2209,1),(2258,1),(2260,1),(2262,1),(2266,1),(2278,1),(3173,1),(3184,1),(3236,1),(3263,1),(4275,1),(4285,1),(4356,1),(5166,1),(5495,1),(5546,1)}
1830:{4,5}:{(1452,1),(1462,1),(2279,1),(3173,1)}
1831:{2,4,6,7}:{(1406,1),(1455,1),(1458,1),(1459,1),(2258,1),(2259,1),(2267,1),(2282,1),(3184,1),(3233,1),(3263,1),(4085,1),(4284,1),(4347,1),(4349,1),(5166,1),(5489,1),(5495,1)}
1832:{2,5,7}:{(1407,1),(1460,1),(1461,1),(2257,1),(2265,1),(2266,1),(5546,1)}
1833:{2,6}:{(1408,1),(1461,1),(2257,1)}
1834:{2,4,6}:{(1409,1),(1460,1),(2265,1),(2266,1),(2268,1),(2286,1),(4076,1),(4088,1),(4409,1),(5495,1)}
1835:{4,6}:{(1465,1),(1471,1),(5660,1)}
1836:{4,7}:{(1462,1),(1473,1)}
1837:{4,6,7}:{(1463,1),(1472,1),(1616,1),(1617,1),(2088,1),(2437,1),(2438,1),(2997,1),(3184,1),(4073,1),(4530,1),(4532,1),(5166,1),(5660,1),(6350,1),(6570,1)}
1838:{4,5,7}:{(1456,1),(1463,1),(1464,1),(2090,1),(2101,1)}
1839:{4,5,6}:{(1457,1),(1464,1),(1616,1),(1617,1),(2088,1),(2103,1),(2434,1),(2436,1),(3171,1),(3173,1),(3180,1),(4060,1),(4269,1),(4270,1),(4526,1),(5432,2),(5660,1),(6338,1),(6566,1),(7584,1),(8197,1)}
1840:{2,4,7}:{(1410,1),(1467,1),(1493,1),(2213,1),(2255,1),(4532,1)}
1841:{2,4,6}:{(1411,1),(1494,1),(1619,1),(1620,1),(2263,1),(2269,1),(2453,1),(3239,1),(6346,1)}
1842:{2,4}:{(1412,1),(1495,1),(3436,1),(6346,1)}
1843:{2,3,5,6}:{(1449,1),(1468,1),(1608,1),(1609,1),(2206,1),(2254,1),(2272,1),(2277,1),(2293,1),(2394,1),(2453,1),(3172,1),(3198,1),(3222,1),(3453,1),(3458,1),(4526,1),(4538,1),(5660,1)}
1844:{2,3,5,7}:{(1413,1),(1451,1),(1469,1),(1478,1),(2209,1),(2273,1),(2395,1),(3173,1),(3225,1),(4311,1),(5495,1)}
1845:{2,3,5}:{(1414,1),(1452,1),(1483,1),(2210,1),(2279,1),(2280,1),(2396,1),(3173,1),(3195,1),(3226,1),(4311,1),(4337,1),(5495,1),(7584,1)}
1846:{2,3,5,6}:{(1418,1),(1453,1),(1469,1),(1475,1),(2232,1),(2273,1),(2278,1),(2279,1),(2286,1),(2397,1),(3173,1),(3258,1),(3259,1),(3272,1),(4293,1),(4311,1),(4362,1),(4364,1),(5178,1),(5495,1),(5504,1)}
1847:{2,3,5}:{(1415,1),(1454,1),(1484,1),(2233,1),(2277,1),(2398,1)}
1848:{2,3,5,6,7}:{(1419,1),(1455,1),(1471,1),(1473,1),(2256,1),(2258,1),(2267,1),(2272,1),(2273,1),(2282,1),(2296,1),(2399,1),(3173,1),(3174,1),(3233,1),(3258,1),(3260,1),(3279,1),(3281,1),(3293,1),(4268,1),(4290,1),(4294,1),(4311,1),(5489,1),(5495,1),(5660,1),(6638,1),(7584,1)}
1849:{2,3,6}:{(1420,1),(1458,1),(1477,1),(2287,1),(2400,1),(3258,1),(5178,1),(5489,1),(5495,1),(6612,1)}
1850:{2,3,7}:{(1421,1),(1459,1),(1475,1),(2288,1),(2401,1)}
1851:{2,3,5,7}:{(1416,1),(1456,1),(1476,1),(1480,1),(2092,1),(2099,1),(2102,1),(2221,1),(2402,1),(2999,1),(3002,1),(3173,1),(4062,1),(4065,1),(4163,1),(4311,1),(4367,1),(5144,1),(5156,1),(5235,1),(5246,1),(5432,1),(5495,1),(5504,1),(5513,1),(5543,1),(5546,1),(6292,1),(6309,1),(6362,1),(6608,2),(6620,1),(6628,1),(7389,1),(7584,1),(8134,1),(8197,1),(8206,1),(8889,1)}
1852:{2,3,5,6}:{(1417,1),(1457,1),(1474,1),(1476,1),(2093,1),(2104,1),(2105,1),(2218,1),(2403,1),(3163,1),(4337,1),(4366,1),(4382,1),(5489,1),(5495,1),(5504,1),(5527,1),(6346,1),(6612,1),(6638,1),(7584,1)}
1853:{2,3,5}:{(1422,1),(1460,1),(1479,1),(2268,1),(2280,1),(2286,1),(2404,1),(3294,1),(5495,1)}
1854:{2,3,7}:{(1423,1),(1461,1),(1479,1),(2285,1),(2289,1),(2405,1),(3041,1),(4249,1),(5495,1),(6628,1)}
1855:{3,4,6}:{(1462,1),(1475,1),(1482,1),(2279,1),(2288,1),(2309,1),(2406,1),(3212,1),(3258,1),(3259,1),(4053,1),(5178,1)}
1856:{3,4,6}:{(1474,1),(1481,1),(1616,1),(1617,1),(2103,1),(2407,1),(2465,1),(2466,1),(3006,1),(3258,1),(4111,1),(4538,1),(5178,1),(5660,1),(5661,1),(6250,1)}
1857:{3,4,5,7}:{(1465,1),(1477,1),(1482,1),(2209,1),(2210,1),(2233,1),(2237,1),(2279,1),(2287,1),(2288,1),(2312,1),(2408,1),(3173,1),(3184,1),(3187,1),(3195,1),(3199,1),(3207,1),(3212,1),(3225,1),(3226,1),(3260,1),(4277,1),(4298,1),(4307,1),(4311,1),(4323,1),(4326,1),(5440,1),(5472,1),(5546,1),(6570,1),(6576,1),(7584,1)}
1858:{2,3,4,6,7}:{(1426,1),(1466,1),(1478,1),(1483,1),(2209,1),(2273,1),(2275,1),(2282,1),(2285,1),(2288,1),(2289,1),(2290,1),(2313,1),(2409,1),(3043,1),(3183,1),(3184,1),(3186,1),(3190,1),(3191,1),(3206,1),(3213,1),(3225,1),(3248,1),(3254,1),(3258,1),(3259,1),(3261,1),(3263,1),(3270,1),(3273,1),(3425,1),(4053,1),(4085,1),(4252,1),(4284,1),(4285,1),(4303,1),(4305,1),(4322,1),(4323,1),(4325,1),(4329,1),(4331,1),(4345,1),(4347,1),(4349,1),(4362,1),(4367,1),(4386,1),(4410,1),(4509,1),(4511,1),(5166,1),(5178,1),(5398,1),(5441,1),(5476,1),(5478,1),(5483,1),(5489,1),(5495,4),(5513,1),(5531,1),(5533,1),(5535,1),(5557,1),(6281,1),(6322,1),(6349,1),(6432,1),(6511,1),(6570,1),(6574,1),(6575,1),(6576,1),(6606,1),(6612,1),(6616,1),(6628,1),(6638,1),(6645,1),(7275,1),(7386,1),(7507,1),(7601,1)}
1859:{2,4}:{(1427,1),(1479,1),(2280,1),(2283,1),(5495,1)}
1860:{2,3,4,6}:{(1428,1),(1467,1),(1484,1),(1496,1),(2110,1),(2215,1),(2236,1),(2276,1),(2277,1),(2290,1),(2411,1),(3034,1),(3043,1),(3170,1),(3185,1),(3191,1),(3232,1),(3254,1),(4053,1),(4234,1),(4324,1),(4331,1),(4409,1),(5178,1),(5495,1),(6349,1),(6612,1)}
1861:{2,3,4}:{(1429,1),(1497,1),(1619,1),(1620,1),(2281,1),(2412,1),(2467,1),(2468,1),(3297,1),(3436,1),(3438,1),(3440,1),(4350,1),(4368,1),(5264,1),(6346,1),(8134,1)}
1862:{2,3,6,7}:{(1430,1),(1450,1),(1485,1),(2184,1),(2207,1),(2222,1),(2265,1),(2273,1),(3022,1),(3058,1)}
1863:{2,3,5,7}:{(1468,1),(1500,1),(1549,1),(1611,1),(1612,1),(2208,1),(2255,1),(2293,1),(2457,1),(3199,1)}
1864:{2,3,5,6}:{(1432,1),(1486,1),(1550,1),(2071,1),(2074,1),(2112,1),(2114,1),(2217,1),(2220,1),(2234,1),(2273,1),(2285,1),(2999,1),(3000,1),(3003,1),(3018,1),(3039,1),(3041,1),(3053,1),(3054,1),(3058,1),(3173,1),(3261,1),(3264,1),(4063,1),(4080,1),(4081,1),(4088,1),(4311,1),(4509,1),(5178,1),(5179,1),(5495,1),(5543,1)}
1865:{2,3,6}:{(1434,1),(1489,1),(1551,1),(2211,1),(5660,1)}
1866:{2,3,6,7}:{(1433,1),(1488,1),(1552,1),(1622,1),(1624,1),(2199,1),(2212,1),(2443,1),(3006,1),(3056,1),(3239,1),(3455,1),(4374,1),(4511,1),(5660,2)}
1867:{2,3,5,7}:{(1435,1),(1487,1),(1493,1),(1553,1),(2213,1),(2255,1),(2296,1),(2301,1),(3174,1),(3199,1),(4511,1),(5546,1)}
1868:{2,3,5}:{(1431,1),(1498,1),(1554,1),(2214,1),(2238,1),(2283,1),(2311,1),(3244,1),(3297,1),(4311,1),(5244,1),(5495,1),(6346,1)}
1869:{2,3,5}:{(1436,1),(1496,1),(1555,1),(2215,1),(4311,1),(5495,1)}
1870:{2,3,6}:{(1437,1),(1491,1),(1556,1),(2235,1),(2239,1),(2465,1),(2466,1),(3006,1),(4111,1),(4328,1),(4538,1),(5141,1),(5192,1),(5252,1),(5477,1),(5660,1),(5661,1),(6346,1),(7489,1)}
1871:{2,3,6}:{(1438,1),(1492,1),(1557,1),(2236,1),(2301,1),(2309,1),(3222,1),(4324,1),(4538,1),(5178,1)}
1872:{2,3,5,7}:{(1439,1),(1492,1),(1499,1),(1558,1),(2237,1),(2294,1),(2300,1),(2301,1),(2312,1),(3195,1),(3199,1),(3225,1),(3226,1),(3287,1),(3298,1),(3414,1),(4120,1),(4123,1),(4311,1),(4323,1),(4326,1),(4328,1),(4367,1),(4371,1),(4387,1),(4511,1),(5244,1),(5246,1),(5472,1),(5475,1),(5481,1),(5495,1),(5504,1),(5527,1),(5535,1),(5546,1),(6346,1),(6648,1),(7489,1)}
1873:{2,3,7}:{(1440,1),(1494,1),(1559,1),(2269,1),(2423,1),(3040,1),(4339,1),(6346,1),(7387,1)}
1874:{2,3,5,6}:{(1441,1),(1494,1),(1495,1),(1560,1),(2115,1),(2118,1),(2263,1),(2270,1),(2304,1),(2305,1),(2307,1),(2424,1),(2453,1),(2462,1),(3055,1),(3056,1),(3234,1),(3239,1),(3265,1),(3267,1),(3269,1),(3289,1),(3296,1),(3453,1),(3458,1),(4060,1),(4062,1),(4091,1),(4333,1),(4337,1),(4341,1),(4357,1),(4366,1),(4368,1),(4371,1),(4374,1),(4380,1),(4382,1),(4516,1),(4526,1),(4538,1),(5208,1),(5243,1),(5244,1),(5246,1),(5251,1),(5432,1),(5488,1),(5489,1),(5495,1),(5504,1),(5511,1),(5527,1),(5603,1),(5660,1),(6340,1),(6346,4),(6380,1),(6607,1),(6612,1),(6638,1),(6696,1),(7260,1),(7383,1),(7427,1),(7584,1),(8134,1),(8146,1),(8197,1),(8266,1)}
1875:{2,3,5,7}:{(1442,1),(1495,1),(1561,1),(1626,1),(1627,1),(2271,1),(2304,1),(2425,1),(2457,1),(2462,1),(3234,1),(3298,1),(4371,1),(6346,1)}
1876:{2,3,7}:{(1443,1),(1496,1),(1562,1),(3225,1),(5495,1)}
1877:{2,3,7}:{(1444,1),(1497,1),(1563,1),(2283,1),(2306,1),(2427,1),(3040,1),(3283,1),(3426,1),(6346,1)}
1878:{2,3,5}:{(1445,1),(1497,1),(1564,1),(2292,1),(2307,1),(2428,1),(3285,1),(4368,1),(6346,1)}
1879:{2,3,6,7}:{(1446,1),(1490,1),(1498,1),(1565,1),(2112,1),(2251,1),(2297,1),(2310,1),(3063,1),(3295,1),(4085,1),(4116,1),(4339,1),(4340,1),(4374,1),(6248,1),(6346,1),(6390,1),(7271,1),(7387,1)}
1880:{3,6}:{(1566,1),(1628,1),(1629,1),(2310,1),(2311,1),(4328,1),(6248,1)}
1881:{3}:{(1567,1)}
1882:{2,3,6}:{(1447,1),(1499,1),(1568,1),(2283,1),(2294,1),(2309,1),(3267,1),(4328,1),(5495,1),(6346,1)}
1883:{2,3,4,7}:{(1448,1),(1484,1),(1499,1),(1569,1),(2237,1),(2253,1),(2295,1),(2314,1),(2467,1),(2468,1),(3170,1),(3228,1),(3232,1),(3295,1),(3298,1),(3436,1),(3438,1),(3440,1),(4053,1),(4120,1),(4123,1),(4283,1),(4289,1),(4328,1),(4339,1),(4349,1),(4367,1),(4387,1),(4532,1),(4533,1),(5200,1),(5203,1),(5264,1),(5267,1),(5486,1),(5495,1),(5500,1),(5512,1),(5535,1),(6243,1),(6248,1),(6346,1),(6349,1),(6402,1),(6576,1),(6648,1),(7327,1),(7385,1),(7387,1),(7489,1),(8134,1),(8234,1),(9523,1)}
1884:{1,5}:{(1400,1),(1517,1),(2238,1),(2434,1),(2436,1),(2999,1),(4526,1),(5432,1)}
1885:{1,4,6}:{(1401,1),(1504,1),(1631,1),(1632,1),(2199,1),(2239,1),(2315,1),(2331,1),(2440,1),(2441,1),(3004,1),(3178,1),(3315,1),(5660,1)}
1886:{1,5,6}:{(1403,1),(1503,1),(1507,1),(2240,1),(2319,1),(2321,1)}
1887:{5,7}:{(1510,1),(1634,1),(1635,1)}
1888:{5,6}:{(1511,1),(1635,1),(1636,1),(5660,1)}
1889:{5}:{(1513,1)}
1890:{1,5,7}:{(1404,1),(1503,1),(1516,1),(2125,1),(2126,1),(2242,1),(2318,1),(2999,1),(3174,1),(4045,1),(4391,1),(5546,1),(5562,1)}
1891:{1,4,6}:{(1402,1),(1506,1),(1518,1),(2129,1),(2199,1),(2243,1),(2318,1),(2330,1),(2380,1),(3004,1),(3175,1),(3191,1),(3203,1),(3315,1),(4415,1),(5660,1)}
1892:{1,4,6,7}:{(1406,1),(1507,1),(1508,1),(1570,1),(2246,1),(2319,1),(2325,1),(2338,1),(3204,1),(3323,1),(4195,1)}
1893:{1,4,5,7}:{(1405,1),(1508,1),(1509,1),(1571,1),(2131,1),(2133,1),(2200,1),(2247,1),(2319,1),(2323,1),(2335,1),(3007,1),(3070,1),(3204,1),(3317,1),(3323,1),(4045,1),(4048,1),(4401,1),(5166,1),(5542,1),(5546,1),(6438,1),(6570,1)}
1894:{4,6,7}:{(1511,1),(1512,1),(1534,1),(2127,1),(2129,1),(2320,1),(2383,1),(5660,1)}
1895:{4,6}:{(1515,1),(1585,1),(2321,1),(5143,1),(5660,1)}
1896:{4,7}:{(1514,1),(1586,1)}
1897:{1,4,6,7}:{(1410,1),(1517,1),(1589,1),(2199,1),(2212,1),(2251,1),(2316,1),(2328,1),(2347,1),(3304,1),(3315,1),(4027,1),(4195,1),(4532,1),(5284,1),(5445,1),(5660,1),(6438,1)}
1898:{1,4,6}:{(1411,1),(1590,1),(1638,1),(1639,1),(2214,1),(2252,1),(2322,1),(2328,1),(2998,1),(3113,1),(3129,1),(3178,1),(4129,1),(4288,1),(6289,1),(7322,1),(8169,1)}
1899:{1,4}:{(1412,1),(1591,1),(2253,1),(3436,1)}
1900:{1,5,7}:{(1413,1),(1519,1),(1528,1),(2330,1)}
1901:{1,5}:{(1414,1),(1532,1),(4179,1)}
1902:{1,5}:{(1415,1),(1533,1),(2331,1)}
1903:{1,5,7}:{(1416,1),(1521,1),(1530,1),(2138,1),(6439,1)}
1904:{1,5,6}:{(1417,1),(1521,1),(1525,1),(2137,1),(2345,1),(4179,1),(5143,1)}
1905:{1,5,6}:{(1418,1),(1519,1),(1526,1),(2330,1),(2335,1),(2342,1),(4212,1),(5299,1),(5383,1)}
1906:{1,5,6,7}:{(1419,1),(1505,1),(1523,1),(1524,1),(2318,1),(2319,1),(2320,1),(2330,1),(2338,1),(2480,1),(2481,1),(3174,1),(3432,1),(4045,1),(4268,1),(5542,1),(5660,1)}
1907:{1,6}:{(1420,1),(1527,1),(5143,1)}
1908:{1,7}:{(1421,1),(1526,1)}
1909:{1,4,5}:{(1422,1),(1519,1),(1529,1),(2150,1),(2326,1),(2342,1),(2404,1),(3127,1),(4212,1)}
1910:{1,4,7}:{(1423,1),(1529,1),(1535,1),(2340,1),(2405,1),(3081,1),(6438,1),(6439,1),(6671,1)}
1911:{1,4,7}:{(1424,1),(1531,1),(1572,1),(2343,1),(2365,1)}
1912:{1,4,5}:{(1425,1),(1521,1),(1531,1),(2181,1),(2341,1),(2345,1),(2366,1),(3112,1),(4179,1)}
1913:{1,4,6,7}:{(1426,1),(1528,1),(1532,1),(1587,1),(2330,1),(2333,1),(2338,1),(2340,1),(2346,1),(2347,1),(3084,1),(3308,1),(3315,1),(3322,1),(3323,1),(4020,1),(4194,1),(4221,1),(5383,1),(5557,1),(6438,1),(6439,1)}
1914:{1,4}:{(1427,1),(1588,1),(2368,1),(3112,1)}
1915:{1,4,6}:{(1428,1),(1533,1),(1592,1),(2140,1),(2331,1),(2334,1),(2347,1),(3315,1),(4409,1)}
1916:{1,4}:{(1429,1),(1593,1)}
1917:{1,3,6}:{(1432,1),(1520,1),(1535,1),(2330,1),(2340,1),(4228,1),(4229,1),(4325,1),(4482,1)}
1918:{1,3,5}:{(1431,1),(1521,1),(1547,1),(2341,1),(2366,1)}
1919:{1,3,5,6,7}:{(1433,1),(1522,1),(1537,1),(1643,1),(1644,1),(2072,1),(2073,1),(2143,1),(2144,1),(2244,1),(2359,1),(3015,1),(3087,1),(3090,1),(3097,1),(3216,1),(3340,1),(3343,1),(4046,1),(4137,1),(4148,1),(4414,1),(5244,1),(5320,1),(6371,1)}
1920:{1,3,5,6}:{(1434,1),(1523,1),(1538,1),(2240,1),(2245,1),(2356,1),(2360,1),(3015,1),(3097,1),(3344,1),(4290,1),(4415,1),(5244,1),(5660,1)}
1921:{1,3,5,7}:{(1435,1),(1524,1),(1536,1),(1542,1),(2242,1),(2244,1),(2316,1),(2357,1),(2361,1),(2480,1),(2481,1),(3090,1),(3174,1),(3216,1),(3221,1),(3317,1),(3432,1),(3443,1),(4045,1),(4120,1),(4291,1),(4311,1),(4313,1),(4391,1),(4413,1),(4414,1),(4416,1),(4540,1),(5185,1),(5244,1),(5259,1),(5327,1),(5432,1),(5472,1),(5481,1),(5542,1),(5544,1),(5546,1),(5562,1),(5679,1),(6307,1),(6315,1),(6371,2),(6408,1),(6409,1),(6438,1),(6662,1),(6663,1),(6689,1),(7489,1),(7584,1),(8197,1),(8323,1)}
1922:{1,3,5}:{(1436,1),(1519,1),(1545,1),(2148,1),(2334,1),(3320,1),(4229,1),(4311,1),(4328,1),(4391,1),(5297,1),(5562,1)}
1923:{1,3,6}:{(1437,1),(1525,1),(1540,1),(2362,1),(3097,1),(4328,1)}
1924:{1,3,6}:{(1438,1),(1526,1),(1541,1),(2331,1),(2357,1),(2363,1)}
1925:{1,3,5,7}:{(1439,1),(1527,1),(1541,1),(1548,1),(2350,1),(2356,1),(2357,1),(2364,1),(4120,1),(4168,1),(4328,1),(5244,1),(5327,1),(5472,1),(5475,1),(5481,1),(5546,1),(6448,1),(7489,1)}
1926:{1,4,7}:{(1440,1),(1537,1),(1543,1),(2227,1),(2423,1),(5679,1)}
1927:{1,4,5,6}:{(1441,1),(1536,1),(1543,1),(1544,1),(2147,1),(2148,1),(2229,1),(2322,1),(2327,1),(2360,1),(2361,1),(2363,1),(2424,1),(2472,1),(2486,1),(3014,1),(3073,1),(3097,1),(3098,1),(3129,1),(3178,1),(3203,1),(3300,1),(3304,1),(3320,1),(3326,1),(3344,1),(3484,1),(3486,1),(4037,1),(4164,1),(4176,1),(4185,1),(4195,1),(4215,1),(4270,1),(4276,1),(4391,1),(4397,1),(4405,1),(4415,1),(4430,1),(4431,1),(4507,1),(4526,1),(4555,1),(4556,1),(5132,1),(5269,1),(5273,1),(5304,1),(5334,1),(5382,1),(5432,1),(5440,1),(5547,1),(5562,1),(5563,1),(5568,1),(5660,1),(6289,2),(6413,1),(6420,1),(6434,1),(6658,1),(6662,1),(6752,1),(7442,1),(7459,1),(7584,1),(7703,1),(8169,1),(8197,1)}
1928:{1,4,5,7}:{(1442,1),(1538,1),(1544,1),(1646,1),(1647,1),(2229,1),(2329,1),(2360,1),(2425,1),(2486,1),(3011,1),(3204,1),(3300,1),(3485,1),(3486,1),(4277,1),(4555,1),(5679,1)}
1929:{1,3,4,7}:{(1443,1),(1528,1),(1539,1),(1545,1),(2152,1),(2347,1),(2355,1),(2357,1),(2426,1),(3225,1),(3314,1),(3336,1),(3424,1),(4229,1),(4432,1),(6299,1),(6438,1)}
1930:{1,4,7}:{(1444,1),(1540,1),(1546,1),(2341,1),(2362,1),(2427,1),(3486,1)}
1931:{1,4,5}:{(1445,1),(1541,1),(1546,1),(2147,1),(2349,1),(2363,1),(2428,1),(3129,1),(3320,1),(3486,1),(4430,1),(4555,1)}
1932:{1,3,6,7}:{(1446,1),(1530,1),(1539,1),(1547,1),(2146,1),(2352,1),(2365,1),(3104,1),(8309,1)}
1933:{3}:{(1531,1)}
1934:{1,3,4,6}:{(1447,1),(1532,1),(1547,1),(1548,1),(2341,1),(2350,1),(2356,1),(2362,1),(2368,1),(2432,1),(3312,1),(3326,1),(3335,1),(3347,1),(3358,1),(4327,1),(4328,1),(4409,1)}
1935:{1,3,4,7}:{(1448,1),(1533,1),(1596,1),(2347,1),(2348,1),(2351,1),(2369,1),(2370,1),(4031,1),(4120,1),(4156,1),(4328,1),(4418,1),(5200,1),(5327,1),(5486,1),(7489,1)}
1936:{1,2,6}:{(1449,1),(1549,1),(1632,1),(1633,1),(2293,1),(4415,1),(5660,1)}
1937:{1,2,5}:{(1452,1),(1503,1),(1568,1),(2294,1),(2375,1),(2379,1),(4499,1),(5495,1)}
1938:{1,2,4,5,7}:{(1454,1),(1504,1),(1549,1),(1569,1),(2208,1),(2255,1),(2259,1),(2295,1),(2324,1),(2372,1),(2378,1),(2398,1),(2456,1),(2457,1),(2491,1),(2492,1),(3038,1),(3131,1),(3182,1),(3187,1),(3244,1),(3303,1),(3306,1),(3311,1),(3334,1),(3363,1),(3371,1),(3384,1),(3385,1),(3394,1),(3433,1),(3436,1),(3475,1),(3477,1),(4033,1),(4130,1),(4190,1),(4204,1),(4283,1),(4289,1),(4339,1),(4343,1),(4401,1),(4402,1),(4473,1),(4526,1),(4530,1),(4532,1),(4555,1),(5166,1),(5288,1),(5297,1),(5432,1),(5434,1),(5544,1),(5546,1),(5554,1),(5610,1),(5614,1),(5630,1),(5679,1),(6346,1),(6438,1),(6478,1),(6479,1),(6576,1),(6658,1),(7325,1),(7327,1),(7383,1),(7387,1),(7584,1),(7642,1),(7643,1),(8197,1)}
1939:{1,2,6,7}:{(1455,1),(1505,1),(1551,1),(1553,1),(2296,1),(2380,1),(2383,1),(3233,1),(3455,1),(3475,1),(4085,1),(4415,1),(5660,1)}
1940:{1,2,5,7}:{(1456,1),(1501,1),(1554,1),(1565,1),(2155,1),(2297,1),(2316,1),(2389,1),(2999,1),(4065,1),(4257,1),(5154,1),(5432,1),(6438,1),(6474,1),(6608,1)}
1941:{1,2,5,6}:{(1457,1),(1502,1),(1554,1),(1556,1),(2158,1),(2298,1),(2315,1),(2375,1),(2390,1),(2434,1),(2436,1),(3118,1),(3171,1),(3319,1),(3408,1),(3451,1),(3453,1),(3473,1),(3474,1),(4060,1),(4134,1),(4263,1),(4526,1),(5208,1),(5334,1),(5432,2),(5495,1),(5660,1),(6346,1),(6474,1),(6486,1),(6521,1),(6566,1),(6612,1),(7584,1),(8146,1),(8197,1)}
1942:{1,2,5,7}:{(1451,1),(1506,1),(1555,1),(1562,1),(2159,1),(2255,1),(2299,1),(2380,1),(3038,1),(3268,1),(5495,1),(5546,1)}
1943:{1,2,4,6}:{(1458,1),(1507,1),(1551,1),(1558,1),(2211,1),(2300,1),(2376,1),(2380,1),(2384,1),(2386,1),(2400,1),(3175,1),(3188,1),(3191,1),(3267,1),(3308,1),(3309,1),(3335,1),(3366,1),(3390,1),(3421,1),(4195,1),(4347,1),(4398,1),(4405,1),(4409,1),(4415,1),(5489,1),(5495,1),(5547,1),(5634,1),(5660,1),(6346,1),(6612,1),(6658,1)}
1944:{1,2,4,7}:{(1459,1),(1508,1),(1553,1),(1557,1),(2213,1),(2259,1),(2301,1),(2385,1),(2387,1),(2401,1),(3306,1),(3336,1),(3385,1),(3422,1),(3475,1),(4401,1),(4530,1),(4532,1),(5166,1),(5679,1),(6438,1)}
1945:{1,2,4,5,6}:{(1453,1),(1509,1),(1555,1),(1557,1),(2167,1),(2169,1),(2203,1),(2215,1),(2254,1),(2302,1),(2326,1),(2376,1),(2379,1),(2380,1),(2382,1),(2397,1),(3025,1),(3034,1),(3115,1),(3119,1),(3130,1),(3154,1),(3175,1),(3185,1),(3188,1),(3191,1),(3249,1),(3267,1),(3302,1),(3308,1),(3309,1),(3311,1),(3320,1),(3339,1),(3366,1),(3370,1),(3373,1),(3375,1),(3381,1),(3390,1),(4033,1),(4042,1),(4061,1),(4069,1),(4079,1),(4081,1),(4090,1),(4184,1),(4186,1),(4193,1),(4214,1),(4269,1),(4270,1),(4288,1),(4337,1),(4342,1),(4347,1),(4391,1),(4395,1),(4397,1),(4398,1),(4400,1),(4405,1),(4409,1),(4415,1),(4457,1),(4464,1),(4467,1),(4469,1),(4470,1),(4484,1),(4499,1),(4526,1),(5219,1),(5268,1),(5271,1),(5273,1),(5274,1),(5279,1),(5297,1),(5333,1),(5335,1),(5341,1),(5381,1),(5390,1),(5432,1),(5437,1),(5440,1),(5441,1),(5487,1),(5488,1),(5489,1),(5495,4),(5543,1),(5547,1),(5558,1),(5561,1),(5562,1),(5602,1),(5609,1),(5629,1),(5634,1),(5660,1),(6255,1),(6265,1),(6287,1),(6288,1),(6338,1),(6346,1),(6348,1),(6349,1),(6410,1),(6419,1),(6422,1),(6423,1),(6451,1),(6474,1),(6487,1),(6522,1),(6566,1),(6568,1),(6571,1),(6572,1),(6574,1),(6577,1),(6607,1),(6612,5),(6616,1),(6651,1),(6658,4),(6662,1),(6679,1),(6701,1),(6710,1),(6716,1),(7308,1),(7322,1),(7379,1),(7380,1),(7382,1),(7383,1),(7474,1),(7507,1),(7515,1),(7524,1),(7532,1),(7584,4),(7592,1),(7643,1),(7645,1),(7668,1),(7670,1),(7673,1),(8170,1),(8197,1),(8200,1),(8207,1),(8239,1),(8348,1),(8353,1),(8419,1),(8428,1),(8432,1)}
1946:{2,6,7}:{(1510,1),(1559,1),(1652,1),(1654,1),(2373,1),(5407,1)}
1947:{2,6}:{(1511,1),(1561,1),(5660,1)}
1948:{2,5,7}:{(1512,1),(1559,1),(1560,1),(2383,1),(2385,1),(5407,1)}
1949:{2,4,6}:{(1513,1),(1563,1),(1652,1),(1654,1),(2306,1),(2375,1),(2488,1),(2490,1),(3189,1)}
1950:{2,4,6}:{(1514,1),(1560,1),(1564,1),(2307,1),(2385,1),(2453,1),(2488,1),(2490,1),(3267,1),(6346,1)}
1951:{2,4,5,7}:{(1515,1),(1561,1),(1563,1),(1564,1),(2159,1),(2162,1),(2271,1),(2308,1),(2375,1),(2384,1),(2385,1),(2457,1),(2488,1),(2489,1),(3027,1),(3028,1),(3120,1),(3122,1),(3189,1),(3234,1),(3365,1),(3433,1),(4060,1),(4062,1),(4078,1),(4243,1),(4279,1),(4287,1),(4475,1),(4530,1),(5149,1),(5208,1),(5352,1),(5361,1),(5407,1),(5603,1),(5620,1),(6302,1),(6346,1),(6486,1),(6507,1),(6576,1),(6699,1),(7406,1),(7584,1)}
1952:{1,4,6}:{(1462,1),(1567,1),(1573,1),(2309,1),(2326,1),(2379,1),(2387,1),(2488,1),(2490,1),(3119,1),(3484,1),(3486,1),(6658,1)}
1953:{1,4,7}:{(1463,1),(1566,1),(1574,1),(2310,1)}
1954:{1,4,5}:{(1464,1),(1554,1),(1566,1),(2180,1),(2214,1),(2311,1),(3113,1)}
1955:{1,4,5,7}:{(1465,1),(1567,1),(1575,1),(2312,1),(2324,1),(2329,1),(2379,1),(2386,1),(2387,1),(2488,1),(2489,1),(3120,1),(3300,1),(3306,1),(3433,1),(3485,1),(3486,1),(4231,1),(4530,1),(4555,1),(5679,1),(6658,1)}
1956:{1,2,4,6,7}:{(1466,1),(1516,1),(1562,1),(1568,1),(1579,1),(2164,1),(2166,1),(2313,1),(2377,1),(2380,1),(2387,1),(3043,1),(3119,1),(3147,1),(3190,1),(3191,1),(3308,1),(3366,1),(4085,1),(4124,1),(4193,1),(4347,1),(5166,1),(5495,1),(5634,1),(6438,1),(6658,1)}
1957:{1,2,4,6}:{(1467,1),(1517,1),(1569,1),(1594,1),(2211,1),(2314,1),(2327,1),(2372,1),(2458,1),(2459,1),(3043,1),(3191,1),(3335,1),(4195,1),(4347,1),(4408,1),(4409,1),(4499,1),(4543,1),(5284,1),(5286,1),(5495,1),(5499,1),(5629,1),(5634,1),(5637,1),(6346,1),(6349,1),(6612,1),(6615,1),(6658,1),(7532,1)}
1958:{1,2,6,7}:{(1450,1),(1518,1),(1571,1),(2185,1),(2323,1),(2380,1),(4085,1),(4136,1),(4137,1),(4201,1),(4203,1),(4359,1),(4415,1),(5660,1),(8312,1)}
1959:{1,2,5}:{(1468,1),(1584,1),(1640,1),(1642,1),(2324,1),(3320,1),(4526,1),(4555,1)}
1960:{1,2,5}:{(1469,1),(1519,1),(1580,1),(2326,1)}
1961:{1,2,5,6}:{(1470,1),(1520,1),(1572,1),(2135,1),(2138,1),(2171,1),(2174,1),(2343,1),(2992,1),(3383,1)}
1962:{1,2,5,6}:{(1471,1),(1523,1),(1551,1),(1575,1),(2374,1),(2386,1),(2400,1),(3118,1),(3387,1),(3453,1),(4415,1),(5660,1)}
1963:{1,2,5,6,7}:{(1472,1),(1522,1),(1552,1),(1574,1),(1658,1),(1660,1),(2158,1),(2172,1),(2173,1),(2373,1),(2388,1),(2479,1),(2480,1),(2987,1),(2989,1),(3118,1),(3299,1),(3382,1),(3475,1),(4137,1),(4207,1),(4334,1),(4463,1),(4478,1),(5542,1),(5660,1),(5679,1),(6267,1),(6269,1),(6438,1),(7289,1)}
1964:{1,2,5,7}:{(1473,1),(1524,1),(1573,1),(1579,1),(2373,1),(2387,1),(2401,1),(3388,1),(6438,1)}
1965:{1,2,6}:{(1474,1),(1525,1),(1577,1),(2331,1),(2407,1),(3315,1)}
1966:{1,2,6}:{(1475,1),(1526,1),(1578,1),(2401,1),(2406,1),(4499,1),(5390,1)}
1967:{1,2,5}:{(1476,1),(1521,1),(1581,1),(2179,1),(2334,1),(3319,1),(4499,1),(5495,1)}
1968:{1,2,5,7}:{(1477,1),(1527,1),(1578,1),(1583,1),(2396,1),(2398,1),(2400,1),(2401,1),(2408,1),(3385,1),(3388,1),(4499,1),(5149,1),(5297,1),(5495,1),(5546,1),(5628,1),(5636,1),(6438,1)}
1969:{1,2,7}:{(1478,1),(1528,1),(1580,1)}
1970:{1,2}:{(1479,1),(1529,1),(5495,1)}
1971:{1,2,4,6,7}:{(1480,1),(1530,1),(1576,1),(1581,1),(2171,1),(2172,1),(2175,1),(2178,1),(2347,1),(2402,1),(2429,1),(2984,1),(3084,1),(3085,1),(3136,1),(3147,1),(3308,1),(3315,1),(3337,1),(3395,1),(4124,1),(4193,1),(4202,1),(4218,1),(5286,1),(5390,1),(5495,1),(5634,1),(6438,1),(6522,1),(6531,1),(6658,1),(6719,1),(6722,1),(7451,1),(7530,1),(7536,1),(7542,1),(7642,1),(8301,1),(8353,1),(8358,1)}
1972:{1,4,5,7}:{(1481,1),(1577,1),(1582,1),(2175,1),(2176,1),(2179,1),(2180,1),(2337,1),(2348,1),(2407,1),(2430,1),(2987,1),(3075,1),(3113,1),(3319,1),(3321,1),(3388,1),(3486,1),(4019,1),(4176,1),(4231,1),(4430,1),(4432,1),(4555,1),(5297,1),(5544,1),(5562,1),(5679,1),(6438,1),(6531,1),(6658,1),(7524,1),(7542,1),(8169,1)}
1973:{1,4}:{(1482,1),(1578,1),(2431,1),(3486,1)}
1974:{1,2,4,6}:{(1483,1),(1532,1),(1580,1),(1583,1),(2326,1),(2396,1),(2400,1),(2406,1),(2410,1),(2432,1),(3308,1),(3309,1),(3312,1),(3335,1),(3390,1),(4261,1),(4409,1),(4499,1),(5495,1),(5634,1),(6658,1)}
1975:{1,2,4}:{(1484,1),(1533,1),(1595,1),(2349,1),(2398,1),(4499,1)}
1976:{2,3,6,7}:{(1534,1),(1570,1),(1585,1),(1586,1),(2183,1),(2246,1),(2325,1),(2383,1),(2443,1),(3019,1),(3056,1),(3455,1),(4159,1),(4511,1),(5407,1),(5660,1)}
1977:{1,2,3,5,7}:{(1486,1),(1535,1),(1572,1),(1587,1),(1588,1),(2188,1),(2333,1),(2346,1),(2352,1),(2365,1),(2395,1),(2405,1),(2414,1),(3076,1),(3160,1),(3225,1),(3348,1),(3383,1),(3391,1),(3395,1),(3425,1),(4149,1),(4311,1),(4325,1),(4480,1),(5309,1),(5368,1),(5371,1),(5379,1),(5478,1),(5495,1),(5644,1),(6281,1),(6322,1),(6324,1),(6372,1),(6438,1),(6439,1),(6737,1),(7386,1),(7660,1)}
1978:{1,2,3,5,6}:{(1487,1),(1536,1),(1573,1),(1591,1),(1594,1),(2294,1),(2309,1),(2327,1),(2372,1),(2394,1),(2417,1),(2418,1),(2420,1),(2424,1),(2462,1),(2463,1),(3053,1),(3219,1),(3222,1),(3277,1),(3279,1),(3289,1),(3296,1),(3320,1),(3362,1),(3381,1),(3408,1),(3412,1),(3413,1),(3453,1),(3458,1),(3484,1),(3486,1),(4081,1),(4225,1),(4229,1),(4311,1),(4314,1),(4324,1),(4328,1),(4371,1),(4374,1),(4391,1),(4415,1),(4438,1),(4479,1),(4499,1),(4505,1),(4513,1),(4514,1),(4526,1),(4538,1),(4550,1),(4555,1),(4556,1),(4564,1),(4565,1),(5154,1),(5178,1),(5195,1),(5244,1),(5246,2),(5250,1),(5297,1),(5390,1),(5432,1),(5467,1),(5477,1),(5495,1),(5504,1),(5520,1),(5527,1),(5562,1),(5563,1),(5629,1),(5634,1),(5645,1),(5660,1),(5685,1),(6248,1),(6346,1),(6380,1),(6447,1),(6521,1),(6522,1),(6612,1),(6638,1),(6662,1),(6710,1),(6752,1),(7260,1),(7300,1),(7427,1),(7489,1),(7524,1),(7532,1),(7545,1),(7584,1),(7606,1),(7703,1),(8197,1),(8353,1),(9278,1),(9523,1)}
1979:{1,2,3,5,7}:{(1488,1),(1537,1),(1574,1),(1589,1),(1590,1),(2187,1),(2297,1),(2310,1),(2316,1),(2328,1),(2423,1),(2479,1),(2480,1),(3075,1),(3145,1),(3162,1),(3216,1),(3221,1),(3295,1),(3371,1),(3442,1),(3443,1),(3475,1),(4120,1),(4158,1),(4207,1),(4257,1),(4339,1),(4375,1),(4510,1),(5154,1),(5244,1),(5259,1),(5404,1),(5544,1),(5679,1),(6248,1),(6267,1),(6346,1),(6371,1),(6438,1),(7271,1),(7387,1)}
1980:{1,2,3,5,7}:{(1489,1),(1538,1),(1575,1),(1591,1),(1597,1),(2294,1),(2312,1),(2329,1),(2415,1),(2425,1),(2461,1),(2462,1),(3052,1),(3145,1),(3281,1),(3298,1),(3408,1),(3412,1),(3485,1),(3486,1),(4120,1),(4231,1),(4311,1),(4328,1),(4371,1),(4499,1),(4504,1),(4508,1),(4555,1),(4564,1),(4566,1),(5244,1),(5327,1),(5391,1),(5481,1),(5495,1),(5636,1),(5679,1),(6346,1),(6521,1),(7489,1)}
1981:{1,2,3,7}:{(1490,1),(1539,1),(1576,1),(1592,1),(2347,1),(4156,1),(4204,1),(4229,1),(4511,1),(5390,1)}
1982:{1,2,3,5,7}:{(1491,1),(1540,1),(1577,1),(1593,1),(1596,1),(2187,1),(2348,1),(2351,1),(2419,1),(2421,1),(2427,1),(2430,1),(3075,1),(3145,1),(3319,1),(3394,1),(3408,1),(3415,1),(3428,1),(3486,1),(4120,1),(4231,1),(4328,1),(4510,1),(4513,1),(4555,1),(4564,1),(5244,1),(5327,1),(5391,1),(5544,1),(5679,1),(6346,1),(6448,1),(6521,1),(7489,1),(7535,1)}
1983:{1,2,3,5}:{(1492,1),(1541,1),(1578,1),(1595,1),(2349,1),(2398,1),(2420,1),(2428,1),(2431,1),(3320,1),(3355,1),(3412,1),(3429,1),(3486,1),(4229,1),(4499,1),(4555,1),(4564,1),(5297,1),(5390,1)}
1984:{1,2,3,6,7}:{(1493,1),(1542,1),(1579,1),(1594,1),(2296,1),(2303,1),(2313,1),(2371,1),(2391,1),(2417,1),(2423,1),(2426,1),(3147,1),(3282,1),(3295,1),(3385,1),(3413,1),(3418,1),(3455,1),(3475,1),(4085,1),(4204,1),(4229,1),(4314,1),(4339,1),(4374,1),(4388,1),(4415,1),(4478,1),(4487,1),(4490,1),(4505,1),(4510,1),(4511,1),(4553,1),(5404,1),(5405,1),(5476,1),(5495,1),(5529,1),(5535,1),(5563,1),(5585,1),(5634,1),(5636,1),(5645,1),(5660,1),(5679,1),(6248,1),(6346,1),(6390,1),(6402,1),(6438,1),(6561,1),(6638,1),(6719,1),(7271,1),(7300,1),(7387,2),(7427,1),(7703,1),(8353,1),(9523,1)}
1985:{1,2,6}:{(1494,1),(1543,1),(1664,1),(1665,1),(2283,1),(2423,1),(3039,1),(5495,1),(6346,1)}
1986:{1,2,5}:{(1495,1),(1544,1),(1665,1),(1666,1),(2393,1),(4499,1),(6346,1)}
1987:{1,2,3,6}:{(1496,1),(1545,1),(1580,1),(1595,1),(2191,1),(2194,1),(2411,1),(2418,1),(2426,1),(4229,1),(4324,1),(4499,1),(5390,1),(5495,1),(5634,1)}
1988:{1,2}:{(1497,1),(1546,1),(3486,1),(6346,1)}
1989:{1,2,3,6}:{(1498,1),(1547,1),(1581,1),(1596,1),(2195,1),(2196,1),(2369,1),(2421,1),(3163,1),(4328,1),(4489,1),(6346,1),(6390,1),(7535,1)}
1990:{1,3}:{(1582,1),(1628,1),(1629,1),(3486,1),(6248,1)}
1991:{1,2,3,7}:{(1499,1),(1548,1),(1583,1),(1595,1),(2427,1),(2431,1),(2432,1),(3225,1),(3424,1),(3486,1),(4229,1),(4251,1),(4323,1),(4490,1),(4511,1),(5535,1),(6346,1),(6648,1),(7535,1),(7577,1)}
1992:{1,2,3,4,6,7}:{(1500,1),(1584,1),(1597,1),(1649,1),(1650,1),(2211,1),(2253,1),(2293,1),(2314,1),(2329,1),(2371,1),(2391,1),(2413,1),(2433,1),(2458,1),(2460,1),(2467,1),(2469,1),(2494,1),(2496,1),(3044,1),(3135,1),(3167,1),(3181,1),(3213,1),(3222,1),(3227,1),(3228,1),(3282,1),(3295,1),(3298,1),(3306,1),(3307,1),(3335,1),(3336,1),(3359,1),(3377,1),(3385,1),(3402,1),(3411,1),(3436,1),(3437,1),(3440,1),(3455,1),(3458,1),(3464,1),(3475,1),(3478,1),(3480,1),(4120,1),(4129,1),(4195,1),(4203,1),(4253,1),(4283,1),(4289,1),(4308,1),(4314,1),(4321,1),(4328,1),(4331,1),(4339,1),(4349,1),(4369,1),(4374,1),(4377,1),(4383,1),(4388,1),(4408,1),(4415,1),(4429,1),(4434,1),(4435,1),(4448,1),(4454,1),(4466,1),(4487,1),(4499,1),(4500,1),(4510,1),(4523,1),(4524,1),(4530,1),(4531,1),(4532,3),(4533,1),(4534,1),(4538,1),(4543,1),(4544,1),(4553,1),(4554,1),(4564,1),(4566,1),(5197,1),(5200,1),(5252,1),(5259,1),(5264,1),(5284,1),(5286,1),(5291,1),(5292,1),(5304,1),(5327,1),(5336,1),(5348,1),(5391,1),(5397,1),(5404,1),(5444,1),(5445,1),(5464,1),(5476,1),(5477,1),(5481,1),(5486,1),(5489,1),(5495,1),(5500,1),(5512,1),(5535,1),(5554,1),(5556,1),(5563,1),(5573,1),(5579,1),(5585,1),(5597,1),(5618,1),(5629,1),(5634,1),(5636,1),(5637,1),(5645,1),(5652,1),(5657,1),(5660,3),(5661,1),(5666,1),(5669,1),(5677,1),(5678,1),(5679,4),(5681,1),(5682,1),(5684,1),(5685,1),(6243,1),(6248,1),(6257,1),(6328,2),(6330,1),(6346,4),(6349,1),(6390,1),(6402,4),(6404,1),(6438,1),(6440,1),(6455,1),(6470,1),(6523,1),(6530,1),(6561,1),(6565,1),(6570,1),(6576,1),(6598,1),(6604,1),(6605,1),(6607,1),(6612,1),(6615,1),(6632,1),(6638,1),(6648,1),(6658,1),(6661,1),(6675,1),(6676,1),(6677,1),(6689,1),(6708,1),(6715,1),(6719,1),(6720,1),(6722,1),(6724,1),(6756,4),(7271,1),(7283,1),(7300,1),(7314,1),(7322,1),(7327,3),(7385,2),(7387,4),(7424,1),(7427,3),(7489,4),(7495,1),(7532,2),(7535,1),(7542,1),(7576,1),(7591,1),(7600,1),(7606,1),(7632,1),(7634,1),(7642,1),(7683,1),(7703,4),(8128,1),(8134,1),(8169,1),(8176,1),(8221,1),(8234,1),(8239,2),(8307,1),(8323,3),(8353,1),(8359,1),(8360,2),(8391,1),(8419,1),(8818,1),(8830,1),(8853,1),(8854,1),(8877,1),(8970,1),(9307,1),(9523,3),(9570,1)}
1993:{4,6}:{(1602,1),(1607,1),(2438,1)}
1994:{3,4,5,6}:{(1601,1),(1608,1),(2206,1),(2439,1),(2442,1),(2452,1),(2471,1),(3172,1),(3198,1),(3222,1),(4272,1),(4276,1),(4299,1),(4308,1),(4312,1),(4526,1),(4538,1),(5443,1),(5660,1),(6289,1),(7333,1),(8197,1),(8209,1),(8797,1),(9276,1),(9570,1)}
1995:{4,6}:{(1603,1),(1609,1),(2437,1),(2453,1)}
1996:{4,5,7}:{(1603,1),(1605,1),(1612,1),(2436,1),(2437,1),(2441,1),(2457,1),(3432,1),(3433,1),(4530,1)}
1997:{4,5,7}:{(1602,1),(1606,1),(1610,1),(2434,1),(2438,1),(2440,1),(3430,1),(3436,1),(4130,1),(4289,1),(4526,1),(4532,1),(5288,1),(5432,1),(5546,1)}
1998:{3,4,5,7}:{(1601,1),(1604,1),(1611,1),(2208,1),(2435,1),(2442,1),(2455,1),(2474,1),(3199,1),(3434,1),(4277,1),(5434,1),(6315,1),(6749,1),(7327,1),(8197,1)}
1999:{4,6}:{(1606,1),(1624,1),(2434,1)}
2000:{4,6}:{(1605,1),(1622,1),(2436,1)}
2001:{3,4,6,7}:{(1604,1),(1623,1),(2211,1),(2435,1),(2442,1),(2477,1),(3181,1),(3227,1),(4308,1),(4532,1),(5445,1),(5464,1),(5481,1),(5660,1),(6598,1),(6604,1),(7489,1),(8323,1)}
2002:{3,5,7}:{(1599,1),(1609,1),(2200,1),(2216,1),(2437,1),(2443,1),(2480,1),(3432,1),(3443,1)}
2003:{3,5,7}:{(1598,1),(1608,1),(2444,1),(2481,1)}
2004:{2,3,5,7}:{(1600,1),(1607,1),(2200,1),(2216,1),(2438,1),(2445,1),(2479,1),(3010,1),(3216,1),(3240,1),(3262,1),(3430,1),(3442,1),(4339,1)}
2005:{3,6}:{(1612,1),(1632,1),(2199,1),(2441,1),(5660,1)}
2006:{3,6}:{(1611,1),(1633,1)}
2007:{2,3,6}:{(1610,1),(1631,1),(2199,1),(2239,1),(2440,1),(3006,1),(3239,1),(5660,2),(5661,1),(6607,1)}
2008:{3,5}:{(1614,1),(1635,1),(2436,1),(2486,1),(4328,1)}
2009:{3,5,6}:{(1615,1),(1634,1),(2241,1),(2244,1),(2434,1),(2487,1),(3171,1),(3447,1),(4060,1),(4328,1),(5174,1),(5192,1),(5195,1),(5244,1),(5432,1),(5477,1),(6486,1),(7489,1),(7504,1),(7584,1)}
2010:{3,5,7}:{(1613,1),(1636,1),(2245,1),(2485,1),(3432,1),(5481,1)}
2011:{3,4}:{(1628,1),(1639,1),(2446,1),(2467,1),(3436,1)}
2012:{3,4}:{(1629,1),(1638,1),(2448,1),(2468,1),(4328,1),(6248,1)}
2013:{1,3,4,6}:{(1630,1),(1637,1),(2253,1),(2447,1),(2450,1),(2469,1),(3222,1),(3227,1),(3437,1),(4266,1),(4308,1),(5197,1),(5304,1),(5330,1),(7489,1),(8830,1),(9523,1)}
2014:{2,4,5}:{(1602,1),(1619,1),(2263,1),(2281,1),(2454,1),(3023,1),(3244,1),(3433,1),(3436,1),(4350,1),(4526,1),(5488,1),(6346,1),(7383,1)}
2015:{2,3,5}:{(1601,1),(1621,1),(2264,1),(2493,1),(3234,1),(4337,1),(4526,1),(5488,1),(6346,1),(7383,1),(8197,1)}
2016:{2,5}:{(1603,1),(1620,1),(2453,1)}
2017:{2,3,4,7}:{(1604,1),(1621,1),(1627,1),(2271,1),(2455,1),(2494,1),(3241,1),(3298,1),(3440,1),(4349,1),(4377,1),(4532,1),(5500,1),(5512,1),(6346,1),(6402,1),(7327,1),(7387,1)}
2018:{2,4,7}:{(1606,1),(1619,1),(1625,1),(2459,1),(3027,1),(3189,1),(3192,1),(4289,1),(4475,1),(4536,1),(5352,1),(6302,1),(6346,1),(6576,1),(7406,1)}
2019:{2,4,7}:{(1605,1),(1620,1),(1626,1),(2457,1),(2458,1),(4530,1)}
2020:{2,3,6,7}:{(1613,1),(1627,1),(1653,1),(2304,1),(2461,1),(2499,1),(3284,1),(3455,1)}
2021:{2,3,6}:{(1614,1),(1626,1),(1654,1),(2458,1),(2462,1),(2498,1),(4538,1)}
2022:{2,3,6}:{(1615,1),(1625,1),(1652,1),(2459,1),(2497,1),(3239,1),(4091,1),(6346,1),(6696,1),(8146,1)}
2023:{3,5,7}:{(1629,1),(1655,1),(2310,1),(2311,1),(2448,1),(2449,1),(2466,1),(3225,1),(3226,1),(3283,1),(3285,1),(3442,1),(3447,1),(4311,1),(4323,1),(4328,1),(6248,1),(7257,1),(7271,1)}
2024:{1,3,5,7}:{(1630,1),(1657,1),(2312,1),(2447,1),(2450,1),(3412,1),(3424,1),(3486,1),(4231,1),(4555,1),(5448,1),(5679,1),(6315,1),(7257,1),(7271,1),(9523,1)}
2025:{3,5,7}:{(1628,1),(1656,1),(2310,1),(2311,1),(2446,1),(2451,1),(2465,1),(3443,1),(3445,1),(4114,1),(4120,1),(4328,1),(5244,1),(5259,1),(6248,1),(7257,1),(7271,1),(7489,1),(9523,1)}
2026:{1,2,6,7}:{(1600,1),(1631,1),(2317,1),(2445,1),(2479,1),(3455,1),(3475,1),(4085,1),(4137,1),(4204,1),(4339,1)}
2027:{1,4,6,7}:{(1598,1),(1633,1),(2371,1),(2444,1),(2481,1),(3181,1),(3306,1)}
2028:{1,6,7}:{(1599,1),(1632,1),(2443,1),(2480,1),(5660,1),(5679,1)}
2029:{1,4,5}:{(1601,1),(1637,1),(1640,1),(2447,1),(2493,1),(3320,1),(3437,1),(4526,1),(4555,1),(6662,1),(6752,1),(8197,1)}
2030:{1,4,5}:{(1603,1),(1639,1),(1642,1),(2446,1),(2472,1),(2491,1),(3436,1),(4526,1)}
2031:{1,4,5}:{(1602,1),(1638,1),(1641,1),(2448,1),(2470,1),(3433,1),(4033,1),(4555,1),(5297,1)}
2032:{1,4,7}:{(1604,1),(1637,1),(1661,1),(3437,1),(4532,1),(5679,1),(7322,1),(7327,1)}
2033:{1,4,7}:{(1605,1),(1639,1),(1663,1),(2214,1),(2451,1),(2478,1),(2997,1),(3113,1),(3436,1),(4129,1),(4289,1),(4530,1),(4532,1),(4534,1),(5666,1),(5679,1),(7322,1),(7327,1),(8169,1)}
2034:{1,4,7}:{(1606,1),(1638,1),(1662,1),(2214,1),(2449,1),(2476,1),(2997,1),(3113,1),(3189,1),(3190,1),(3192,1),(3312,1),(4289,1),(4430,1),(4536,1),(5352,1),(6570,1),(6576,1),(6658,1),(7322,1),(8126,1),(8169,1)}
2035:{1,5,6}:{(1609,1),(1632,1),(1642,1),(2331,1),(2472,1),(2480,1),(4526,1),(5660,1)}
2036:{1,2,5,6}:{(1607,1),(1631,1),(1641,1),(2315,1),(2331,1),(2470,1),(2479,1),(3073,1),(3389,1),(3453,1),(4081,1)}
2037:{1,5,6}:{(1608,1),(1633,1),(1640,1),(2481,1),(3172,1)}
2038:{1,2,3,5,7}:{(1610,1),(1641,1),(1651,1),(2238,1),(2316,1),(2351,1),(2434,1),(2448,1),(2475,1),(2479,1),(2483,1),(3001,1),(3075,1),(3094,1),(3216,1),(3221,1),(3235,1),(3244,1),(3253,1),(3278,1),(3289,1),(3319,1),(3371,1),(3384,1),(3394,1),(3410,1),(3415,1),(3430,1),(3442,1),(3447,1),(3461,1),(3474,1),(4066,1),(4158,1),(4162,1),(4198,1),(4199,1),(4240,1),(4296,1),(4326,1),(4339,1),(4351,1),(4375,1),(4376,1),(4391,1),(4413,1),(4414,1),(4439,1),(4510,1),(4513,1),(4526,1),(4527,1),(4542,1),(4555,1),(4556,1),(4558,1),(5146,1),(5150,1),(5154,1),(5188,1),(5190,1),(5244,2),(5246,1),(5297,1),(5404,1),(5432,3),(5472,1),(5488,1),(5542,1),(5544,4),(5546,1),(5562,1),(5591,1),(5600,1),(5610,1),(5630,1),(5631,1),(5673,1),(5679,1),(5680,1),(6248,1),(6267,1),(6307,2),(6309,1),(6315,1),(6317,1),(6340,1),(6346,2),(6371,2),(6373,1),(6375,1),(6380,1),(6408,1),(6409,1),(6438,1),(6447,1),(6448,1),(6474,1),(6478,1),(6479,1),(6486,1),(6521,1),(6580,1),(6594,1),(6662,1),(6663,1),(6689,1),(6720,1),(6749,1),(6752,1),(7256,1),(7257,1),(7260,2),(7271,1),(7294,1),(7380,1),(7383,2),(7387,2),(7391,1),(7413,1),(7422,1),(7468,1),(7469,1),(7472,1),(7473,1),(7489,1),(7522,1),(7524,1),(7527,1),(7532,1),(7535,1),(7545,1),(7553,1),(7557,1),(7584,3),(7602,1),(7648,1),(7659,1),(7668,1),(7680,1),(7691,1),(8192,1),(8196,1),(8197,3),(8258,1),(8323,1),(8325,1),(8359,1),(8360,1),(8361,1),(8363,1),(8450,1),(8854,1),(8932,1),(9278,1),(9523,1)}
2039:{1,3,5,7}:{(1612,1),(1642,1),(1649,1),(2238,1),(2316,1),(2436,1),(2446,1),(2473,1),(2480,1),(2482,1),(3001,1),(3075,1),(3094,1),(3216,1),(3221,1),(3319,1),(3432,1),(3443,1),(3445,1),(4414,1),(4526,1),(4540,1),(4555,1),(5244,1),(5432,1),(5544,1),(5679,1),(6307,1),(6315,1),(6371,1),(6408,1),(8197,1)}
2040:{1,3,5,7}:{(1611,1),(1640,1),(1650,1),(2435,1),(2447,1),(2474,1),(2481,1),(2484,1),(5244,1),(5365,1),(6307,1),(6315,1),(6371,1),(6408,1),(6662,1),(8197,1)}
2041:{1,4,6}:{(1614,1),(1643,1),(1646,1),(2228,1),(2486,1),(2498,1),(3486,1)}
2042:{1,4,6,7}:{(1613,1),(1645,1),(1647,1),(2360,1),(2485,1),(2499,1),(3204,1),(4049,1),(5679,1)}
2043:{1,4,6}:{(1615,1),(1644,1),(1648,1),(2228,1),(2497,1),(3097,1),(3178,1),(3203,1),(3484,1),(4036,1),(5563,1),(6289,1),(7303,1)}
2044:{2,5,6}:{(1634,1),(1652,1),(2373,1),(2375,1),(2490,1)}
2045:{2,5}:{(1635,1),(1654,1),(2488,1)}
2046:{2,5,7}:{(1636,1),(1653,1),(2374,1),(2489,1),(3234,1)}
2047:{1,4,5,6,7}:{(1618,1),(1657,1),(1659,1),(2386,1),(2464,1),(2471,1),(2477,1),(2489,1),(3300,1),(3306,1),(3369,1),(3387,1),(3398,1),(4181,1),(4272,1),(4392,1),(4394,1),(4396,1),(4413,1),(4415,1),(4416,1),(4431,1),(4530,1),(5542,1),(5547,1),(5560,1),(5562,1),(5571,1),(5572,1),(5573,1),(5660,1),(5662,1),(5679,1),(6413,1),(6438,1),(6570,1),(6658,1),(6662,1),(6663,2),(6668,1),(6746,1),(7584,1),(7642,1),(7647,1),(7703,1),(8197,1),(8353,1)}
2048:{1,4,6}:{(1616,1),(1656,1),(1658,1),(2465,1),(2488,1),(3486,1),(5660,1),(6658,1),(6746,1),(7703,1)}
2049:{1,4,6}:{(1617,1),(1655,1),(1660,1),(2466,1),(2490,1),(3484,1),(4271,1),(5563,1),(6250,1),(7303,1)}
2050:{1,2,4}:{(1619,1),(1638,1),(1664,1),(2468,1),(3129,1),(4079,1),(5390,1)}
2051:{1,2,4}:{(1620,1),(1639,1),(1665,1),(2467,1),(2491,1),(3436,1)}
2052:{1,2,4,6}:{(1621,1),(1637,1),(1666,1),(2393,1),(2469,1),(2493,1),(2494,1),(3437,1),(3480,1),(4499,1),(5629,1),(5637,1),(6346,1)}
2053:{1,2,3,5,6,7}:{(1623,1),(1645,1),(1659,1),(1661,1),(2415,1),(2435,1),(2461,1),(2464,1),(2477,1),(2484,1),(2499,1),(3281,1),(3416,1),(3452,1),(3459,1),(3463,1),(3472,1),(3480,1),(4106,1),(4246,1),(4290,1),(4371,1),(4413,1),(4415,1),(4504,1),(5244,1),(5365,1),(5428,1),(5481,1),(5489,1),(5520,1),(5521,1),(5622,1),(5640,1),(5645,1),(5660,1),(5679,1),(6346,1),(6371,1),(6521,1),(6598,1),(6638,1),(6662,1),(7387,1),(7427,1),(7489,1),(7522,1),(7584,1),(7703,1),(8197,1),(8323,1)}
2054:{1,2,3,5,6}:{(1622,1),(1643,1),(1658,1),(1663,1),(2298,1),(2419,1),(2436,1),(2462,1),(2465,1),(2478,1),(2482,1),(2498,1),(3165,1),(3319,1),(3408,1),(3445,1),(3453,1),(3458,1),(3464,1),(3473,1),(3478,1),(3486,1),(4263,1),(4328,1),(4374,1),(4479,1),(4513,1),(4526,1),(4538,1),(4550,1),(4555,1),(4564,1),(5244,1),(5432,1),(5477,1),(5660,1),(5685,1),(6346,1),(6521,1),(6752,1),(7427,1),(7489,1),(7703,1),(8197,1)}
2055:{1,2,3,5,6}:{(1624,1),(1644,1),(1660,1),(1662,1),(2298,1),(2419,1),(2434,1),(2463,1),(2466,1),(2476,1),(2497,1),(3165,1),(3279,1),(3319,1),(3408,1),(3413,1),(3447,1),(3465,1),(3474,1),(3484,1),(4225,1),(4227,1),(4263,1),(4311,1),(4328,1),(4374,1),(4391,1),(4479,1),(4505,1),(4513,1),(4556,1),(4565,1),(5192,1),(5195,1),(5244,1),(5246,1),(5415,1),(5432,1),(5467,1),(5477,1),(5495,1),(5562,1),(5563,1),(5634,1),(6346,1),(6375,1),(6447,1),(6448,1),(6486,1),(6521,2),(6543,1),(6612,1),(6638,1),(7253,1),(7303,1),(7489,2),(7532,1),(7535,1),(7553,1),(7584,1),(8146,1)}
2056:{1,2,5,7}:{(1625,1),(1648,1),(1664,1),(2283,1),(2423,1),(2427,1),(2495,1),(2497,1),(3040,1),(3244,1),(3268,1),(3269,1),(3393,1),(3408,1),(3474,1),(4066,1),(4339,1),(4490,1),(5391,1),(5495,1),(6346,3),(6521,1),(7383,1),(7387,1),(7535,1)}
2057:{1,2,7}:{(1626,1),(1646,1),(1665,1),(2283,1),(2498,1),(3040,1),(5679,1),(6346,1)}
2058:{1,2,7}:{(1627,1),(1647,1),(1666,1),(3486,1)}
2059:{4,5}:{(1672,1),(1790,1),(2519,1),(2551,1)}
2060:{3,4,5}:{(1674,1),(1778,1),(1790,1),(2549,1),(2581,1),(2677,1),(2682,1),(2688,1),(2693,1),(2717,1),(3503,1),(3706,1),(3711,1),(3712,1),(3726,1),(3765,1),(3974,1),(3976,1),(4599,1),(4617,1),(4634,1),(4849,2),(4869,1),(4888,1),(4894,1),(4901,1),(4968,1),(5744,1),(5745,1),(5761,1),(5763,1),(5766,1),(5819,1),(6009,1),(6014,1),(6019,1),(6021,1),(6166,1),(6220,1),(6823,1),(6825,2),(6832,1),(6833,1),(6860,1),(6897,1),(7099,1),(7124,1),(7716,1),(7720,1),(8041,1),(8575,1)}
2061:{5}:{(1673,1),(2516,1)}
2062:{3,5}:{(1671,1),(1778,1),(2583,1)}
2063:{4,5,6}:{(1669,1),(1799,1),(1800,1),(2510,1),(2525,1),(2695,1),(2697,1),(4572,1),(4605,1),(4636,1),(4860,1)}
2064:{4,7}:{(1668,1),(1801,1),(2514,1)}
2065:{4,6,7}:{(1670,1),(1800,1),(1801,1),(2502,1),(2695,1),(2696,1),(6827,1)}
2066:{4,5}:{(1667,1),(1799,1),(2501,1),(2524,1)}
2067:{4,7}:{(1673,1),(1703,1),(2521,1),(2530,1)}
2068:{3,4,7}:{(1671,1),(1706,1),(1784,1),(2520,1),(2591,1),(5102,1)}
2069:{4,7}:{(1672,1),(1705,1),(2528,1),(3507,1)}
2070:{3,4,7}:{(1674,1),(1704,1),(1784,1),(2590,1),(2685,1),(2687,1),(3508,1),(3713,1),(3721,1),(3724,1),(4629,1),(4856,1),(4860,1),(4864,2),(4865,1),(4900,1),(4983,1),(5102,1),(5744,1),(5745,1),(5754,1),(5819,1),(6014,1),(6047,1),(6178,1),(6828,1),(6829,2),(7098,1),(7104,1),(7124,1),(7720,1),(7792,1),(8040,1)}
2071:{3,5,6}:{(1677,1),(1714,1),(1806,1),(2525,1),(2533,1)}
2072:{3,5,7}:{(1676,1),(1712,1),(1807,1),(2526,1)}
2073:{3,5,6,7}:{(1678,1),(1713,1),(1806,1),(1807,1),(2527,1),(2535,1),(2713,1),(2714,1)}
2074:{3,5}:{(1675,1),(1711,1),(2524,1)}
2075:{3,4,5,7}:{(1681,1),(1683,1),(1716,1),(1811,1),(2535,1),(2538,1),(2562,1),(2596,1),(2687,1),(2700,1),(3508,1),(3577,1),(3706,1),(3745,1),(3768,1),(4599,1),(4629,1),(4860,1),(4869,1),(4888,1),(5744,1),(5761,1),(6014,1),(7124,1)}
2076:{3,5,7}:{(1679,1),(1686,1),(1717,1),(2539,1),(2598,1)}
2077:{3,4,5,7}:{(1682,1),(1684,1),(1715,1),(1811,1),(2523,1),(2533,1),(2536,1),(2542,1),(2561,1),(2687,1),(2700,1),(3507,1),(3523,1),(3576,1),(3706,1),(3745,1),(4600,1),(4613,1),(4617,1),(4682,1),(4860,1),(4869,1),(5754,1),(6014,1),(7124,1)}
2078:{3,5,7}:{(1680,1),(1685,1),(1718,1),(2521,1),(2532,1),(2537,1),(2543,1),(3575,1),(6881,1)}
2079:{3,4,6,7}:{(1678,1),(1683,1),(1720,1),(1818,1),(2527,1),(2535,1),(2538,1),(2566,1),(2600,1),(3508,1),(4629,1)}
2080:{3,4,6,7}:{(1676,1),(1686,1),(1722,1),(1818,1),(2526,1),(2534,1),(2539,1),(2565,1),(2602,1),(3509,1),(3521,1),(3539,1),(3628,1),(4621,1),(4628,1),(4695,1),(4747,1),(5745,1),(5943,1)}
2081:{3,4,6}:{(1675,1),(1685,1),(1719,1),(2524,1),(2530,1),(2532,1),(2537,1),(2564,1),(3510,1),(3520,1),(3529,1),(3541,1),(3575,1),(4626,1),(5802,1),(6773,1),(7715,1)}
2082:{3,4,6}:{(1677,1),(1684,1),(1721,1),(2525,1),(2528,1),(2533,1),(2567,1),(3507,1),(3576,1)}
2083:{3,4,5,6}:{(1681,1),(1724,1),(1814,1),(1819,1),(2538,1),(2540,1),(2569,1),(2607,1),(2693,1),(2699,1),(2709,1),(2715,1),(3522,1),(3564,1),(3706,1),(3711,1),(3723,1),(3731,1),(3885,1),(4599,1),(4632,1),(4670,1),(4853,1),(4860,1),(4867,1),(4869,1),(4888,1),(4894,1),(4903,1),(4968,1),(5740,1),(5744,1),(5745,1),(5746,1),(5761,1),(5764,1),(5776,1),(5785,1),(6013,1),(6014,1),(6019,1),(6021,1),(6037,1),(6039,1),(6106,1),(6166,1),(6822,1),(6825,1),(6831,1),(6858,1),(6868,1),(7101,1),(7102,1),(7124,1),(7201,1),(7828,1),(8043,1)}
2084:{3,4,6}:{(1682,1),(1725,1),(1814,1),(2519,1),(2542,1),(2568,1),(2699,1),(2721,1),(3576,1),(3585,1),(3762,1),(4627,1),(4633,1),(4860,1),(4899,1),(5745,1),(6013,1),(6761,1),(7124,1)}
2085:{3,5,6}:{(1679,1),(1723,1),(1819,1),(2539,1),(2541,1),(2606,1),(2693,1),(3731,1)}
2086:{3,6}:{(1680,1),(1726,1),(2516,1),(2543,1),(2721,1),(3575,1)}
2087:{4,5,6,7}:{(1687,1),(1837,1),(1838,1),(1839,1),(2505,1),(2670,1),(2674,1),(2675,1),(2730,1),(2732,1),(3505,1),(3703,1),(3704,1),(3708,1),(4847,1),(4853,1),(5095,1),(6007,1),(6008,1),(6106,1),(6880,1)}
2088:{4,5,7}:{(1690,1),(1837,1),(1839,1),(2503,1),(2670,1),(4847,1),(4860,1),(5095,1),(6007,1)}
2089:{4}:{(1688,1),(2509,1)}
2090:{4,6}:{(1689,1),(1838,1),(2513,1),(2731,1)}
2091:{2,3,5}:{(1667,1),(1688,1),(1693,1),(2508,1),(2512,1),(2628,1),(4615,1),(4677,1)}
2092:{2,3,5,6}:{(1669,1),(1689,1),(1691,1),(1851,1),(2504,1),(2507,1),(2629,1),(2689,1),(2748,1),(3511,1),(3551,1),(4617,1),(4678,1),(4869,1),(4872,1),(4936,1),(4937,1),(5724,1),(5748,1),(5810,1),(5813,1),(6106,1),(6897,1),(6901,1),(7128,2),(7842,1)}
2093:{2,3,5,7}:{(1668,1),(1690,1),(1692,1),(1852,1),(2506,1),(2515,1),(2631,1),(2691,1),(3495,1),(4914,1),(4939,1),(7131,1)}
2094:{2,3,5,6,7}:{(1670,1),(1687,1),(1694,1),(1851,1),(1852,1),(2500,1),(2511,1),(2630,1),(2689,1),(2691,1),(2745,1),(2747,1),(3487,1),(3514,1),(3551,1),(3557,1),(3790,1),(4637,1),(4641,1),(4656,1),(4685,1),(4736,1),(4847,1),(4910,1),(4912,1),(4914,1),(4935,1),(4937,1),(4939,1),(5723,1),(5754,1),(5813,1),(5825,1),(5976,1),(6036,1),(6053,1),(6057,1),(6058,1),(6061,1),(6069,1),(6070,1),(6075,1),(6076,1),(6078,1),(6085,1),(6090,1),(6091,1),(6106,1),(6901,1),(6903,1),(7128,1),(7130,1),(7131,4),(7132,1),(7148,1),(7152,1),(7153,1),(7749,1),(7834,1),(7837,1),(7842,1),(7848,1),(7849,1),(7876,1),(8026,1),(8046,1),(8054,1),(8055,1),(8757,1)}
2095:{3,4,6,7}:{(1694,1),(1696,1),(1837,1),(1856,1),(2503,1),(2634,1),(2679,1),(2694,1),(2787,1),(3516,1),(3527,1),(3762,1),(4860,1),(5102,1),(5754,1),(6798,1)}
2096:{3,4,6,7}:{(1692,1),(1698,1),(1837,1),(1856,1),(2505,1),(2515,1),(2635,1),(2694,1),(2787,1),(4853,1),(5102,1),(5754,1),(6039,1),(6106,1),(6913,1),(7102,1)}
2097:{2,4,6}:{(1691,1),(1697,1),(1799,1),(2501,1),(2528,1),(2679,1),(4981,1)}
2098:{2,4,6}:{(1693,1),(1695,1),(1799,1),(2510,1),(2512,1),(2530,1),(4593,1),(4605,1),(4639,1)}
2099:{2,4,5,7}:{(1697,1),(1701,1),(1800,1),(1851,1),(2507,1),(2511,1),(2523,1),(2681,1),(2685,1),(2756,1),(2758,1),(3504,1),(3508,1),(3559,1),(3778,1),(3786,1),(4572,1),(4646,1),(4656,1),(4847,1),(4860,1),(4910,1),(4912,1),(4914,1),(4921,1),(5711,1),(5737,1),(5744,1),(5798,1),(6014,1),(6053,1),(6061,2),(6062,1),(6823,1),(6880,1),(7098,1),(7099,1),(7130,1),(7131,1),(7132,1),(7791,1),(7792,1),(7836,1),(7837,1),(7841,1),(8026,1),(8028,1),(8757,1)}
2100:{2,5,7}:{(1695,1),(1702,1),(1800,1),(2502,1),(2510,1),(2521,1),(2758,1)}
2101:{3,5,7}:{(1698,1),(1700,1),(1838,1),(2513,1),(2638,1)}
2102:{3,4,5,7}:{(1696,1),(1699,1),(1838,1),(1851,1),(2504,1),(2637,1),(2681,1),(2685,1),(2753,1),(2788,1),(3503,1),(3508,1),(3577,1),(3635,1),(3745,1),(3764,1),(4569,1),(4599,1),(4617,1),(4629,1),(4860,1),(4869,1),(4872,1),(4882,1),(5713,1),(5744,1),(5754,1),(5761,1),(5819,1),(6014,1),(6030,1),(6880,2),(6897,1),(6913,1),(7098,1),(7099,1),(7119,1),(7124,1),(7720,1),(7729,1),(7730,1),(7791,1),(7792,1),(8040,1),(8041,1),(8575,1)}
2103:{3,5,6}:{(1700,1),(1839,1),(1856,1),(2503,1),(2641,1),(2688,1),(4869,1),(6784,1),(6897,1)}
2104:{2,4,6}:{(1701,1),(1801,1),(1852,1),(2506,1),(2519,1),(2680,1),(2686,1),(2755,1),(2759,1),(3777,1),(4926,1),(6014,1),(6019,1),(6887,1),(7102,1)}
2105:{3,4,5,6}:{(1699,1),(1839,1),(1852,1),(1856,1),(2515,1),(2643,1),(2680,1),(2686,1),(2688,1),(2752,1),(2789,1),(3512,1),(3642,1),(3711,1),(3744,1),(3760,1),(3763,1),(4853,1),(4860,1),(4869,1),(4894,1),(4968,1),(5745,1),(6013,1),(6014,1),(6019,1),(6039,1),(6106,1),(7102,1),(7124,1)}
2106:{2,6}:{(1702,1),(1801,1),(2514,1),(2516,1)}
2107:{2,3,4,6}:{(1674,1),(1708,1),(1841,1),(1861,1),(2547,1),(2549,1),(2552,1),(2646,1),(2744,1),(2754,1),(2791,1),(3534,1),(3542,1),(3544,1),(3551,1),(3586,1),(3701,1),(3726,1),(3777,1),(3785,1),(3807,1),(3829,1),(3972,1),(3973,1),(4634,1),(4678,1),(4688,1),(4698,1),(4825,1),(4863,1),(4924,2),(4926,1),(4932,1),(4937,1),(4941,1),(4958,1),(5048,1),(5744,1),(5778,1),(5799,1),(5813,1),(5819,1),(5843,1),(5855,1),(6014,1),(6019,1),(6772,1),(6832,1),(6886,1),(6887,2),(6902,1),(6903,1),(7102,1),(7124,1),(7716,1),(7796,1),(7841,2),(7890,1),(8600,1),(8604,1),(8630,1)}
2108:{2,3,4,6}:{(1671,1),(1707,1),(1841,1),(1861,1),(2544,1),(2548,1),(2553,1),(2644,1),(2754,1),(2791,1),(3531,1),(3539,1),(3552,1),(3583,1),(3726,1),(3972,1),(3973,1),(4633,1),(4687,1),(4695,1),(4863,1),(4924,1),(5745,1),(5777,1),(5843,1),(6832,1),(6887,1),(7796,1),(7841,1)}
2109:{2,4}:{(1673,1),(1710,1),(2546,1),(2550,1)}
2110:{2,4}:{(1672,1),(1709,1),(2551,1)}
2111:{2,3,6,7}:{(1678,1),(1704,1),(1746,1),(1870,1),(2531,1),(2689,1),(2712,1),(2777,1),(2787,1),(3516,1),(3551,1),(3731,1),(3754,1),(3762,1),(3813,1),(3989,1),(3991,1),(4629,1),(4695,1),(4698,1),(4870,1),(4892,1),(4897,1),(4937,1),(4949,1),(5102,1),(5688,1),(5754,1),(5770,1),(5771,1),(5813,1),(5831,2),(6039,1),(6047,1),(6106,1),(6761,1),(6863,1),(6864,1),(7124,1),(7131,1),(7248,1),(7842,1),(8040,1)}
2112:{2,3,6}:{(1677,1),(1705,1),(1743,1),(2528,1),(2689,1),(3553,1)}
2113:{2,3,6,7}:{(1676,1),(1706,1),(1745,1),(1870,1),(2529,1),(2556,1),(2712,1),(2787,1),(3495,1),(3989,1),(3991,1),(4628,1),(4640,1),(4695,1),(5102,1),(5831,1),(6047,1)}
2114:{2,3,6}:{(1675,1),(1703,1),(1744,1),(2530,1),(2557,1),(4626,1),(4639,1)}
2115:{2,3,5}:{(1681,1),(1708,1),(1750,1),(2547,1),(2654,1),(2760,1),(3562,1),(3586,1),(3807,1),(4678,1)}
2116:{2,3,5}:{(1682,1),(1709,1),(1747,1),(2545,1),(2551,1),(2568,1),(2760,1),(3807,1),(6061,1),(6903,1)}
2117:{2,3,5}:{(1680,1),(1710,1),(1748,1),(2546,1),(2550,1),(2571,1),(3565,1)}
2118:{2,3,5}:{(1679,1),(1707,1),(1749,1),(2544,1),(2655,1),(3583,1)}
2119:{2,3,7}:{(1683,1),(1708,1),(1753,1),(2659,1),(2758,1),(3800,1)}
2120:{2,3,7}:{(1684,1),(1709,1),(1752,1),(2555,1),(2567,1),(2758,1),(5754,1)}
2121:{2,3,7}:{(1685,1),(1710,1),(1751,1),(2554,1),(2564,1),(4664,1),(5752,1)}
2122:{2,3,7}:{(1686,1),(1707,1),(1754,1),(2657,1)}
2123:{5,7}:{(1722,1),(1889,1),(2575,1)}
2124:{1,5}:{(1719,1),(1776,1),(2532,1)}
2125:{1,5}:{(1721,1),(1776,1),(2533,1)}
2126:{5,7}:{(1720,1),(1889,1),(2572,1),(3706,1)}
2127:{4,6}:{(1717,1),(1731,1),(2539,1),(2575,1),(2619,1)}
2128:{1,4,6}:{(1718,1),(1733,1),(1780,1),(2537,1),(2573,1),(2618,1),(3520,1),(3541,1)}
2129:{4,6}:{(1716,1),(1734,1),(2572,1),(2616,1),(6106,1)}
2130:{1,4,6}:{(1715,1),(1732,1),(1780,1),(2536,1),(2574,1),(2617,1),(5894,1),(6008,1),(6106,1),(7163,1)}
2131:{1,4,7}:{(1725,1),(1765,1),(1781,1),(2542,1),(2687,1),(4613,1),(4860,1),(4864,1),(4983,1),(6120,1)}
2132:{1,4,7}:{(1726,1),(1763,1),(1781,1),(2543,1)}
2133:{4,5,7}:{(1724,1),(1766,1),(1896,1),(2579,1),(2687,1),(2796,1),(3706,1),(3721,1),(4741,1),(4847,1),(4864,1),(4983,1),(5095,1),(5866,1),(6007,1),(6105,1),(6120,1)}
2134:{4,5,7}:{(1723,1),(1764,1),(1896,1),(2541,1),(2576,1),(2796,1),(5095,1)}
2135:{1,5}:{(1667,1),(1730,1)}
2136:{1,5,6,7}:{(1670,1),(1728,1),(1903,1),(1904,1),(2584,1),(2809,1),(2811,1),(4576,1),(5690,1),(5915,1),(5964,1),(6106,1),(6956,1)}
2137:{1,5,7}:{(1668,1),(1727,1),(1904,1),(2585,1),(4581,1)}
2138:{1,5,6}:{(1669,1),(1729,1),(1903,1),(2812,1),(3590,1),(3830,1),(5893,1)}
2139:{1,4,6}:{(1674,1),(1769,1),(1916,1),(2581,1),(2590,1),(2807,1),(2829,1),(3844,1),(3871,1),(4006,1),(4729,1),(4860,1),(4985,1),(5007,1),(5119,1),(5744,1),(5745,1),(5894,1),(6013,1),(6978,1),(6980,1),(6984,1),(7902,1)}
2140:{1,4}:{(1672,1),(1768,1),(2608,1),(3848,1)}
2141:{1,4,6}:{(1671,1),(1770,1),(1916,1),(2583,1),(2591,1),(3594,1),(4006,1),(5119,1)}
2142:{1,4}:{(1673,1),(1767,1),(2580,1),(2609,1)}
2143:{1,3,6,7}:{(1676,1),(1727,1),(1735,1),(1923,1),(2594,1),(2602,1),(4628,1),(4695,1),(4747,1),(5904,1)}
2144:{1,3,6,7}:{(1678,1),(1728,1),(1736,1),(1923,1),(2600,1),(2836,1),(3625,1),(4629,1)}
2145:{1,3,6}:{(1675,1),(1730,1),(1737,1),(2595,1),(2846,1),(3494,1)}
2146:{1,3,6}:{(1677,1),(1729,1),(1738,1),(2846,1),(3762,1),(3880,1),(8079,1)}
2147:{1,5}:{(1679,1),(1740,1)}
2148:{1,4,5}:{(1681,1),(1739,1),(1922,1),(2654,1),(2807,1),(2833,1),(3844,1),(3871,1),(3948,1),(4729,1),(4860,1)}
2149:{1,3,4,5}:{(1682,1),(1742,1),(1909,1),(1922,1),(2582,1),(2604,1),(2653,1),(2721,1),(2807,1),(2819,1),(2837,1),(3585,1),(3765,1),(3766,1),(3848,1),(3869,1),(3871,1),(3890,1),(4631,1),(4842,1),(4860,1),(4894,1),(4968,1),(5029,1),(6019,1),(6989,1),(7124,1),(7766,1),(7827,1),(7902,1),(8041,1)}
2150:{1,3,5}:{(1680,1),(1741,1),(1909,1),(2580,1),(2605,1),(2721,1),(2837,1)}
2151:{1,4,7}:{(1686,1),(1735,1),(1740,1),(2598,1),(2657,1),(3946,1)}
2152:{1,4,7}:{(1683,1),(1736,1),(1739,1),(2659,1),(3946,1)}
2153:{1,3,4,7}:{(1684,1),(1738,1),(1742,1),(1910,1),(2589,1),(2601,1),(2658,1),(2821,1),(2849,1),(3629,1),(4860,1),(6152,1),(7005,1),(7199,1)}
2154:{1,3,4,7}:{(1685,1),(1737,1),(1741,1),(1910,1),(2588,1),(2599,1),(2603,1),(2656,1),(2849,1),(3655,1),(4724,1),(4860,1),(5696,1),(5773,1),(5897,1),(6030,1),(6152,1),(6797,1),(7004,1),(7199,1),(7782,1)}
2155:{1,2,5,6}:{(1689,1),(1714,1),(1743,1),(1940,1),(2558,1),(2615,1),(2626,1),(2793,1),(3900,1),(4575,1),(4596,1),(5894,1),(7128,1)}
2156:{1,2,5}:{(1688,1),(1711,1),(1744,1),(2557,1),(2627,1),(4571,1),(4585,1)}
2157:{1,2,5,6,7}:{(1687,1),(1713,1),(1746,1),(1940,1),(1941,1),(2559,1),(2613,1),(2625,1),(2670,1),(2793,1),(2794,1),(2856,1),(2859,1),(3514,1),(3587,1),(3645,1),(3681,1),(3703,1),(3704,1),(3706,1),(3769,1),(3830,1),(3897,1),(3900,1),(3901,1),(3983,1),(3984,1),(4591,1),(4637,1),(4641,1),(4656,1),(4717,1),(4755,1),(4757,1),(4777,1),(4847,1),(4910,1),(4964,1),(4986,1),(5030,1),(5054,1),(5095,1),(5721,1),(5917,2),(5918,1),(6007,2),(6053,1),(6104,1),(6106,1),(6167,1),(6180,1),(6225,1),(6954,1),(6957,1),(7016,1),(7018,1),(7030,1),(7128,1),(7131,1),(7213,1),(8026,1)}
2158:{1,2,5,7}:{(1690,1),(1712,1),(1745,1),(1941,1),(2556,1),(2612,1),(2624,1),(2670,1),(2794,1),(3588,1),(3983,1),(3984,1),(4597,1),(4757,1),(5095,1),(5917,1),(6007,1),(7131,1),(8505,1)}
2159:{2,5,7}:{(1716,1),(1750,1),(1753,1),(2616,1)}
2160:{1,2,5,7}:{(1715,1),(1747,1),(1752,1),(1832,1),(2561,1),(2615,1),(2617,1),(2623,1),(5070,1),(6055,1),(6180,1),(7031,1)}
2161:{1,2,5,7}:{(1718,1),(1748,1),(1751,1),(1832,1),(2560,1),(2614,1),(2618,1),(2621,1),(3560,1),(4664,1),(4798,1)}
2162:{2,5,7}:{(1717,1),(1749,1),(1754,1),(2619,1)}
2163:{1,2,6}:{(1719,1),(1751,1),(1833,1),(2564,1),(2614,1),(4585,1),(5893,1)}
2164:{2,4,6,7}:{(1720,1),(1753,1),(1946,1),(1949,1),(2566,1),(2613,1),(2616,1),(2861,1),(3508,1),(3542,1),(3647,1)}
2165:{2,4,6,7}:{(1722,1),(1754,1),(1946,1),(1949,1),(2565,1),(2612,1),(2619,1),(2861,1),(3509,1),(3539,1),(3648,1),(4592,1),(4653,1),(5733,1),(5943,1),(6798,1),(8505,1)}
2166:{1,2,6}:{(1721,1),(1752,1),(1833,1),(2567,1),(2615,1),(5894,1)}
2167:{1,2,4,6}:{(1725,1),(1747,1),(1834,1),(2545,1),(2568,1),(2617,1),(2623,1),(2871,1),(2889,1),(3540,1),(4769,1),(4774,1),(4786,1),(4824,1),(4924,1),(5944,1)}
2168:{1,2,4,6}:{(1726,1),(1748,1),(1834,1),(2546,1),(2571,1),(2618,1),(2621,1),(2871,1),(2889,1),(3541,1),(3675,1)}
2169:{2,4,5,6}:{(1724,1),(1750,1),(1950,1),(2547,1),(2569,1),(2616,1),(2622,1),(2733,1),(2736,1),(2858,1),(2863,1),(3534,1),(3542,1),(3647,1),(3723,1),(3775,1),(3969,1),(3970,1),(4599,1),(4637,1),(4772,1),(4826,1),(5048,1),(5714,1),(5726,1),(5740,1),(5744,1),(5921,1),(5938,1),(5946,1),(5949,1),(6014,1),(6019,1),(6163,1),(6166,1),(6780,1),(6831,1),(7101,1),(7102,1),(7200,1),(7201,1),(8604,1),(8607,1),(8609,1)}
2170:{2,4,5,6}:{(1723,1),(1749,1),(1950,1),(2544,1),(2570,1),(2619,1),(2620,1),(2733,1),(2736,1),(2858,1),(2863,1),(3531,1),(3539,1),(3648,1),(3723,1),(3775,1),(3787,1),(3801,1),(3969,1),(3970,1),(4602,1),(4635,1),(4653,1),(4920,1),(5741,1),(5745,1),(5789,1),(6844,1),(6887,1)}
2171:{1,2,6}:{(1691,1),(1729,1),(1755,1)}
2172:{1,2,6,7}:{(1694,1),(1728,1),(1758,1),(1965,1),(2634,1),(2808,1),(2876,1),(3918,1),(3922,1),(4597,1)}
2173:{1,2,6,7}:{(1692,1),(1727,1),(1757,1),(1965,1),(2631,1),(2635,1),(2808,1),(3851,1),(3922,1),(5733,1),(6106,1),(6167,1),(7014,1),(7053,1)}
2174:{1,2,6}:{(1693,1),(1730,1),(1756,1),(2628,1),(3667,1),(5893,1)}
2175:{1,4,7}:{(1696,1),(1758,1),(1759,1),(2663,1),(3946,1)}
2176:{1,4,7}:{(1698,1),(1757,1),(1762,1),(2638,1),(2660,1),(3946,1)}
2177:{1,2,4,7}:{(1695,1),(1756,1),(1761,1),(1911,1),(2588,1),(2633,1),(2636,1),(2661,1),(3637,1),(5876,1),(5958,1),(6793,1)}
2178:{1,2,4,7}:{(1697,1),(1755,1),(1760,1),(1911,1),(2589,1),(2632,1),(2662,1),(2802,1),(3841,1),(4770,1)}
2179:{1,4,5}:{(1699,1),(1759,1),(1967,1),(2667,1),(2829,1),(2882,1),(3830,1),(3844,1),(3871,1),(3948,1),(4860,1)}
2180:{1,5}:{(1700,1),(1762,1)}
2181:{1,2,5}:{(1702,1),(1761,1),(1912,1),(2580,1),(2642,1),(2664,1),(2888,1)}
2182:{1,2,4,5}:{(1701,1),(1760,1),(1912,1),(1967,1),(2582,1),(2640,1),(2666,1),(2803,1),(2829,1),(2883,1),(2888,1),(3699,1),(3844,1),(3848,1),(3864,1),(3909,1),(3929,1),(3930,1),(4771,1),(4838,1),(4968,1),(5037,1),(5050,1),(6019,1)}
2183:{2,6,7}:{(1731,1),(1764,1),(2576,1),(2619,1),(2668,1),(2726,1)}
2184:{1,2,6,7}:{(1733,1),(1763,1),(1862,1),(2577,1),(2618,1),(2814,1),(2876,1),(4664,1)}
2185:{2,3,6,7}:{(1734,1),(1766,1),(1958,1),(2579,1),(2616,1),(2668,1),(2718,1),(2726,1),(2777,1),(3516,1),(3552,1),(3731,1),(3774,1),(4733,1),(4813,1),(5980,1),(6106,1),(7749,1),(7822,1)}
2186:{1,2,3,6,7}:{(1732,1),(1765,1),(1862,1),(1958,1),(2578,1),(2617,1),(2718,1),(2777,1),(2814,1),(2876,1),(3580,1),(3624,1),(3690,1),(3762,1),(3931,1),(4731,1),(4812,1),(4947,1),(5076,1),(5981,1),(6106,1)}
2187:{1,2,3,7}:{(1706,1),(1735,1),(1757,1),(1770,1),(2591,1),(2657,1),(2660,1),(2808,1),(3879,1),(3922,1),(3946,1)}
2188:{1,2,3,7}:{(1703,1),(1737,1),(1756,1),(1767,1),(2588,1),(2649,1),(2661,1),(5696,1),(5958,1)}
2189:{1,2,3,5,7}:{(1704,1),(1736,1),(1758,1),(1769,1),(1981,1),(2590,1),(2650,1),(2659,1),(2663,1),(2808,1),(2813,1),(2902,1),(3491,1),(3587,1),(3597,1),(3615,1),(3664,1),(3681,1),(3693,1),(3698,1),(3855,1),(3875,1),(3879,1),(3915,1),(3922,1),(3946,1),(3950,1),(4597,1),(4629,1),(4843,1),(4900,1),(4992,1),(5012,1),(5054,1),(5059,1),(5070,1),(5092,1),(5962,1),(5971,1),(6036,1),(6047,1),(6180,1),(6188,1),(6233,1),(6817,1),(7039,1),(7053,1),(7124,1),(7131,1),(7213,1),(7249,1),(7766,1),(7773,1),(7976,1),(8040,1),(8545,1)}
2190:{1,2,3,5,7}:{(1705,1),(1738,1),(1755,1),(1768,1),(1981,1),(2589,1),(2648,1),(2658,1),(2662,1),(2813,1),(3501,1),(3590,1),(3617,1),(3665,1),(3680,1),(3953,1)}
2191:{1,2,3}:{(1709,1),(1742,1),(1970,1),(2645,1),(2888,1),(2916,1)}
2192:{1,2,3}:{(1710,1),(1741,1),(1970,1),(2647,1),(2916,1)}
2193:{1,2,6}:{(1707,1),(1740,1),(1988,1),(2655,1),(2657,1),(5071,1)}
2194:{1,2,6}:{(1708,1),(1739,1),(1988,1),(2654,1),(2659,1),(2888,1)}
2195:{1,3,6}:{(1759,1),(1880,1),(1990,1),(2663,1),(2667,1),(2721,1),(3762,1),(3763,1),(6761,1),(6817,1),(7124,1)}
2196:{2,3}:{(1760,1),(1933,1),(2608,1),(2721,1)}
2197:{2,3}:{(1761,1),(1933,1),(2609,1)}
2198:{1,3,6}:{(1762,1),(1880,1),(1990,1),(2660,1),(2665,1),(5024,1)}
2199:{6}:{(1772,1)}
2200:{5,7}:{(1771,1),(1773,1),(2668,1)}
2201:{5,6,7}:{(1774,1),(1775,1),(1777,1),(2668,1),(2671,1),(4636,1)}
2202:{5,6}:{(1776,1),(1780,1),(2671,1)}
2203:{4,5}:{(1783,1),(1824,1),(2669,1),(2693,1),(3706,1),(4968,1)}
2204:{4,5,6}:{(1771,1),(1778,1),(1993,1),(1995,1),(2517,1),(2674,1),(2675,1),(2733,1),(2919,1),(2920,1),(3531,1),(3970,1),(4635,1),(4849,1),(6008,1)}
2205:{4,5,7}:{(1772,1),(1778,1),(1784,1),(2520,1),(2670,1),(2674,1),(2734,1),(5095,2)}
2206:{4,6}:{(1779,1),(1843,1),(2676,1)}
2207:{4,6,7}:{(1780,1),(1781,1),(1862,1),(2671,1),(2679,1),(3541,1)}
2208:{4,5,7}:{(1779,1),(1785,1),(1863,1),(2669,1),(2676,1),(2678,1),(3705,1),(5095,1)}
2209:{4,7}:{(1782,1),(1844,1),(2679,1),(4860,1)}
2210:{4,5}:{(1782,1),(1845,1),(2680,1),(2683,1),(3848,1),(4860,1),(4968,1),(6014,1),(6019,1)}
2211:{4,6}:{(1785,1),(1865,1),(2669,1)}
2212:{4,6,7}:{(1784,1),(1866,1),(1999,1),(2000,1),(2670,1),(2674,1),(3539,1),(4863,1),(4983,1),(6106,1)}
2213:{4,7}:{(1783,1),(1867,1)}
2214:{4}:{(1868,1)}
2215:{4}:{(1869,1)}
2216:{3,7}:{(1773,1),(1787,1),(2808,1)}
2217:{3,5,6}:{(1774,1),(1786,1),(1789,1),(2689,1),(2695,1),(2809,1),(3514,1),(3880,1),(4636,1),(4667,1),(6106,1)}
2218:{3,5,6}:{(1771,1),(1787,1),(1790,1),(2519,1),(2689,1),(2691,1),(2810,1),(3514,1),(3613,1)}
2219:{3,5,7}:{(1775,1),(1788,1),(1794,1),(2696,1),(2811,1),(3881,1)}
2220:{3,5}:{(1776,1),(1797,1),(2697,1),(2812,1)}
2221:{3,5,7}:{(1772,1),(1790,1),(1803,1),(2523,1),(2689,1),(2813,1),(4617,1),(5754,1)}
2222:{3,6,7}:{(1777,1),(1786,1),(1791,1),(2814,1),(4667,1),(6106,1)}
2223:{3,4,6}:{(1787,1),(1793,1),(1993,1),(1995,1),(2517,1),(2694,1),(2754,1),(2815,1),(2928,1),(2929,1),(3531,1),(3972,1),(4687,1)}
2224:{4,6}:{(1788,1),(1792,1),(2516,1),(2696,1),(2755,1)}
2225:{4,5,7}:{(1789,1),(1792,1),(1802,1),(2521,1),(2695,1),(2696,1),(2697,1),(2756,1),(4572,1),(4860,1),(5691,1),(5746,1),(6827,1)}
2226:{3,4,6}:{(1780,1),(1786,1),(1796,1),(2537,1),(2679,1),(2692,1),(2695,1),(2757,1),(2818,1),(3520,1),(3541,1),(3720,1),(3762,1),(3793,1),(3880,1),(4667,1),(4860,1),(4899,1),(4981,1),(5742,1),(6106,1),(6867,1),(7163,1),(7815,1)}
2227:{4,7}:{(1795,1),(1806,1),(2525,1),(2758,1),(4860,1)}
2228:{4,6}:{(1795,1),(1807,1),(2526,1),(2701,1),(2759,1),(5745,1)}
2229:{4,5}:{(1795,1),(1808,1),(2683,1),(2699,1),(2760,1),(4860,1),(5745,1)}
2230:{3,4,5,7}:{(1793,1),(1804,1),(1809,1),(1996,1),(1997,1),(2520,1),(2677,1),(2688,1),(2694,1),(2698,1),(2761,1),(2820,1),(3505,1),(3538,1),(3622,1),(3712,1),(3713,1),(3727,1),(3976,1),(4580,1),(4693,1),(4742,1),(4856,1),(4901,1),(5095,1),(5096,1),(5102,1),(5718,1),(5745,1),(6047,1),(6825,1),(6829,1)}
2231:{3,4,7}:{(1781,1),(1791,1),(1798,1),(2543,1),(2696,1),(2762,1),(2823,1),(3881,1),(4983,1)}
2232:{3,4,6}:{(1782,1),(1846,1),(2679,1),(2680,1),(2704,1),(2705,1),(2721,1),(2824,1),(3720,1),(3738,1),(3762,1),(3763,1),(4860,1),(4899,1),(6014,1),(7124,1)}
2233:{3,4,5}:{(1779,1),(1805,1),(1847,1),(2682,1),(2693,1),(2703,1),(2719,1),(2825,1),(3765,1),(3976,1),(4617,1)}
2234:{4,6}:{(1802,1),(1864,1),(2524,1),(2697,1),(3507,1),(3510,1),(4860,1)}
2235:{3,4,6}:{(1804,1),(1870,1),(1999,1),(2000,1),(2686,1),(2688,1),(2827,1),(3539,1),(3972,1),(4695,1),(4863,2),(5745,1),(5943,1),(7102,1),(7796,1)}
2236:{3,4,6}:{(1783,1),(1805,1),(1871,1),(2693,1),(2708,1),(2828,1),(3731,1),(3972,1)}
2237:{3,4,7}:{(1785,1),(1805,1),(1872,1),(2683,1),(2687,1),(2707,1),(2830,1),(3724,1),(3766,1),(3848,1),(4860,1),(4862,1),(4983,1),(5744,1),(5745,1),(6014,1),(6019,1),(6049,1),(7124,1)}
2238:{3,5}:{(1822,1),(1884,1),(2677,1)}
2239:{3,6}:{(1809,1),(1885,1)}
2240:{3,5,6}:{(1808,1),(1812,1),(1886,1),(2699,1),(2714,1)}
2241:{3,5}:{(1818,1),(1889,1),(2701,1),(2833,1)}
2242:{3,5,7}:{(1808,1),(1821,1),(1890,1),(2533,1),(2700,1),(2713,1),(3706,1),(4869,1),(4888,1)}
2243:{3,6}:{(1811,1),(1891,1),(6106,1)}
2244:{3,5,7}:{(1815,1),(1887,1),(2008,1),(2009,1),(2670,1),(2842,1),(4628,1),(4629,1),(6047,1),(7030,1)}
2245:{3,5,6}:{(1816,1),(1888,1),(2008,1),(2010,1),(2669,1),(2843,1),(2919,1),(3751,1),(4903,1)}
2246:{3,6,7}:{(1812,1),(1813,1),(1892,1),(2714,1),(3881,1),(4695,1)}
2247:{3,5,7}:{(1813,1),(1814,1),(1893,1),(2542,1),(2718,1),(3881,1),(4900,1),(5754,1)}
2248:{3,4,6,7}:{(1810,1),(1816,1),(1817,1),(1894,1),(2538,1),(2539,1),(2674,1),(2684,1),(2716,1),(2782,1),(2841,1),(2923,1),(3516,1),(3521,1),(3539,1),(3725,1),(3731,1),(3754,1),(3814,1),(4608,1),(4621,1),(4624,1),(4647,1),(4670,1),(4695,1),(4853,1),(4863,1),(4870,1),(5102,1),(5745,1),(5831,1),(6008,1),(6039,1),(6106,1),(6829,1),(6863,1),(6872,1),(7102,1),(7201,1),(7248,1),(7796,1)}
2249:{3,4,6}:{(1812,1),(1820,1),(1895,1),(2539,1),(2699,1),(2715,1),(2783,1),(2844,1),(3521,1),(3539,1),(3723,1),(3731,1),(4695,1),(4747,1),(4853,1),(4903,1),(5745,1),(5943,1),(6039,1),(6106,1),(7102,1),(7201,1)}
2250:{3,4,7}:{(1813,1),(1819,1),(1896,1),(2541,1),(2784,1),(2845,1),(5102,1)}
2251:{3,4,6,7}:{(1803,1),(1822,1),(1879,1),(1897,1),(2528,1),(2685,1),(2689,1),(2711,1),(2712,1),(2723,1),(3517,1),(3528,1),(3713,1),(3714,1),(3754,1),(4695,1),(4863,1),(5745,1),(5754,1),(5777,1),(5831,1),(6829,1)}
2252:{3,4,6}:{(1880,1),(1898,1),(2011,1),(2012,1),(2717,1),(2723,1),(2724,1),(2791,1),(2928,1),(2929,1),(3583,1),(3726,1),(3754,1),(3972,1),(4633,1),(4687,1),(4695,1),(4863,1),(5745,1),(6761,1),(7720,1)}
2253:{3,4}:{(1881,1),(1899,1),(2719,1),(2792,1),(3583,1)}
2254:{2,5,6}:{(1771,1),(1824,1),(1828,1),(2672,1),(2726,1),(2727,1)}
2255:{2,5,7}:{(1772,1),(1824,1),(1840,1),(2673,1),(2726,1),(5095,1)}
2256:{2,5,6}:{(1774,1),(1825,1),(1827,1),(2726,1),(2730,1),(3703,1),(6106,1)}
2257:{2,5}:{(1776,1),(1833,1),(2731,1)}
2258:{2,5,7}:{(1775,1),(1826,1),(1831,1),(2732,1),(4847,1),(4910,1),(7131,1)}
2259:{2,4,7}:{(1773,1),(1823,1),(1828,1),(2676,1),(2727,1),(2750,1),(2942,1),(3555,1),(3721,1),(7131,1)}
2260:{2,4,6,7}:{(1777,1),(1825,1),(1829,1),(2679,1),(2728,1),(2730,1),(2751,1),(3719,1),(3782,1),(3794,1),(6106,1),(6799,1),(7131,1),(7137,1)}
2261:{4,5,6}:{(1826,1),(1830,1),(1835,1),(2669,1),(2680,1),(2730,1),(2732,1),(2752,1),(3703,1),(3711,1),(4606,1),(4853,1),(4860,1),(4968,1),(6013,1),(6106,1)}
2262:{4,5,7}:{(1827,1),(1830,1),(1836,1),(2730,1),(2731,1),(2753,1)}
2263:{2,5}:{(1778,1),(1841,1)}
2264:{2,4,5}:{(1779,1),(1842,1),(2015,1),(2016,1),(2735,1),(4862,1),(6012,1),(6832,1),(9043,1)}
2265:{2,6}:{(1780,1),(1832,1),(6106,1)}
2266:{2,4,7}:{(1781,1),(1832,1),(1834,1),(2731,1),(2762,1),(4664,1),(4983,1)}
2267:{4,6,7}:{(1835,1),(1836,1),(1848,1),(2676,1),(2679,1),(2730,1),(2732,1),(3722,1),(3724,1),(4853,1),(4860,1),(6106,1),(7102,1)}
2268:{2,4}:{(1782,1),(1853,1),(2546,1),(3848,1)}
2269:{2,4,7}:{(1784,1),(1841,1),(1873,1),(2734,1),(2942,1)}
2270:{2,4,6}:{(1783,1),(1842,1),(1874,1),(2544,1),(2547,1),(2736,1),(2743,1),(2926,1),(2927,1),(3531,1),(3539,1),(3723,1),(3726,1),(3787,1),(3970,1),(3972,1),(4862,1),(4863,1),(4926,1),(5098,1),(5744,1),(5745,1),(6014,1),(6015,1),(6019,1),(6832,1),(6844,1),(6887,1),(7102,1),(7716,1),(7796,1),(7841,1),(8604,1)}
2271:{2,4,7}:{(1785,1),(1842,1),(1875,1),(2741,1),(2925,1),(2926,1),(4862,1)}
2272:{2,3,5,7}:{(1823,1),(1843,1),(2002,1),(2003,1),(2676,1),(2727,1),(2750,1),(2770,1),(2875,1),(2942,1),(3705,1),(3732,1),(3757,1),(3984,1),(3991,1),(5095,1),(5102,1)}
2273:{2,3,6}:{(1786,1),(1825,1),(1844,1),(2679,1),(2876,1),(3762,1)}
2274:{2,3,5,6}:{(1788,1),(1826,1),(1845,1),(1849,1),(2680,1),(2747,1),(2752,1),(2755,1),(2877,1),(3763,1),(3952,1),(4968,1),(6106,1)}
2275:{2,3,5,7}:{(1789,1),(1827,1),(1845,1),(1858,1),(2681,1),(2745,1),(2748,1),(2753,1),(2756,1),(2878,1),(3550,1),(3706,1),(3729,1),(3730,1),(3764,1),(3771,1),(4617,1),(4656,1),(4819,1),(4847,1),(4869,1),(4872,1),(4888,1),(4910,1),(4912,1),(4914,1),(4942,1),(5754,1),(6036,1),(6037,1),(6061,1),(6085,1),(6105,1),(7031,1),(7119,1),(7131,1),(7132,1)}
2276:{2,3,5}:{(1790,1),(1824,1),(1860,1),(2551,1),(2682,1),(2693,1),(2879,1),(3550,1),(3706,1),(3765,1),(4617,1),(4888,1),(4968,1),(6061,1)}
2277:{2,3,6}:{(1787,1),(1828,1),(1847,1),(2703,1),(2750,1),(2880,1)}
2278:{2,3,5,7}:{(1791,1),(1829,1),(1846,1),(1850,1),(2704,1),(2751,1),(2753,1),(2762,1),(2881,1),(3729,1),(5754,1)}
2279:{3,5}:{(1830,1),(1855,1),(2882,1)}
2280:{2,5}:{(1792,1),(1859,1),(2755,1)}
2281:{2,3,5}:{(1793,1),(1861,1),(2014,1),(2016,1),(2754,1),(2884,1),(3976,1)}
2282:{2,3,6,7}:{(1794,1),(1831,1),(1849,1),(1850,1),(2747,1),(2750,1),(2763,1),(2885,1),(4937,1),(4939,1),(5754,1),(6106,1),(7131,1)}
2283:{2}:{(1795,1)}
2284:{2,3,5,7}:{(1796,1),(1832,1),(1853,1),(1854,1),(2740,1),(2748,1),(2756,1),(2757,1),(2762,1),(2886,1),(3560,1),(3771,1),(3824,1),(4664,1),(4677,1),(4830,1),(4942,1),(5791,1),(5808,1),(5818,1),(5988,1),(7031,1)}
2285:{2,3,6}:{(1797,1),(1833,1),(1854,1),(2748,1),(2765,1),(2887,1),(4677,1),(4678,1)}
2286:{2,3,6}:{(1798,1),(1834,1),(1853,1),(2755,1),(2762,1),(2889,1),(4677,1)}
2287:{3,4,6}:{(1835,1),(1849,1),(1857,1),(2679,1),(2680,1),(2752,1),(2785,1),(2890,1),(3718,1),(3731,1),(3762,1),(3763,1),(4853,1),(4860,1),(4897,1),(6013,1),(6039,1),(6106,1),(7102,1)}
2288:{3,4,7}:{(1836,1),(1850,1),(1855,1),(2753,1),(2786,1),(2891,1),(5754,1)}
2289:{2,4,7}:{(1802,1),(1854,1),(1859,1),(2756,1),(2758,1),(2765,1),(4593,1),(4664,1),(6062,1)}
2290:{2,3,4,7}:{(1803,1),(1840,1),(1860,1),(1876,1),(2555,1),(2687,1),(2708,1),(2749,1),(2750,1),(2893,1),(3555,1),(3721,1),(3768,1),(4816,1),(4900,1),(4983,1),(5754,1),(7131,1)}
2291:{2,3,4,7}:{(1804,1),(1861,1),(1877,1),(2018,1),(2019,1),(2744,1),(2761,1),(2767,1),(2894,1),(2952,1),(2954,1),(3546,1),(3701,1),(3747,1),(3986,1),(4675,1),(4856,1),(5102,1),(6047,1),(6079,1),(6224,1),(6902,1),(7841,1)}
2292:{2,3,4}:{(1805,1),(1842,1),(1878,1),(2544,1),(2547,1),(2792,1),(2895,1),(3583,1),(3586,1),(3743,1),(3807,1),(4678,1)}
2293:{2,3,6}:{(1863,1),(1936,1),(2005,1),(2006,1),(2678,1),(2726,1),(2945,1),(3731,1)}
2294:{2,3,5}:{(1808,1),(1882,1),(1937,1),(2683,1),(2760,1),(2776,1),(3807,1)}
2295:{2,3,5,7}:{(1809,1),(1847,1),(1883,1),(1938,1),(2706,1),(2719,1),(2750,1),(2771,1),(2775,1),(2950,1),(2951,1),(3684,1),(3753,1),(3757,1),(3765,1),(3976,1),(3989,1),(3991,1),(4617,1),(4693,1),(4816,1),(4900,1),(4901,1),(4914,1),(4961,1),(5095,1),(5096,1),(5102,1),(5754,1),(6047,1),(6055,1),(6061,1),(6100,1),(7124,1),(7131,1),(7837,1),(8040,1),(8041,1)}
2296:{2,3,6,7}:{(1810,1),(1865,1),(1867,1),(1939,1),(2684,1),(2726,1),(2777,1),(3731,1),(3991,1),(6106,1)}
2297:{2,3,5,7}:{(1806,1),(1868,1),(1879,1),(1940,1),(2558,1),(2685,1),(2711,1),(2758,1),(2788,1),(3778,1),(3828,1),(4656,1),(4683,1),(5754,1),(6915,1)}
2298:{2,3,5,6}:{(1807,1),(1868,1),(1870,1),(1941,1),(2556,1),(2686,1),(2688,1),(2710,1),(2759,1),(2773,1),(2789,1),(3512,1),(3777,1),(3779,1),(3829,1),(3993,1),(3994,1),(4640,1),(5809,1),(5826,1),(6887,1),(6915,1)}
2299:{2,3,5,7}:{(1811,1),(1869,1),(1876,1),(1942,1),(2687,1),(2777,1),(3706,1)}
2300:{2,3,6}:{(1812,1),(1872,1),(1943,1),(2707,1),(2785,1),(3731,1),(3762,1),(3763,1),(3813,1),(4695,1),(4897,1),(4903,1),(6039,1),(6106,1),(7124,1)}
2301:{2,3,7}:{(1813,1),(1871,1),(1944,1),(2708,1),(2786,1),(3757,1),(4900,1),(5102,1),(5754,1)}
2302:{2,3,5,6}:{(1814,1),(1869,1),(1871,1),(1945,1),(2568,1),(2693,1),(2709,1),(2721,1),(2776,1),(2777,1),(2781,1),(3563,1),(3576,1),(3586,1),(3706,1),(3731,1),(3752,1),(3762,1),(3763,1),(3765,1),(3807,1),(3813,1),(3820,1),(3823,1),(3952,1),(4617,1),(4668,1),(4678,1),(4688,1),(4690,1),(4698,1),(4867,1),(4869,1),(4888,1),(4891,1),(4894,1),(4897,1),(4899,1),(4903,1),(4932,1),(4937,1),(4942,1),(4949,1),(4955,1),(4957,1),(4958,1),(4968,1),(5761,1),(5762,1),(5764,1),(5766,1),(5769,1),(5813,1),(5836,1),(6021,1),(6037,1),(6039,1),(6076,1),(6085,1),(6106,1),(6761,1),(6769,1),(6858,1),(6864,1),(6868,1),(6869,1),(6897,1),(6903,1),(6915,1),(7124,4),(7842,1),(7893,1),(8041,1),(8043,1),(8054,1),(8056,1),(8059,1),(8533,1),(8630,1)}
2303:{2,3,6,7}:{(1815,1),(1873,1),(1946,1),(2021,1),(2022,1),(2742,1),(2778,1),(2906,1),(4870,1),(5083,1),(5102,1),(8505,1)}
2304:{2,3,6}:{(1816,1),(1875,1),(1947,1),(2741,1),(2907,1),(2945,1)}
2305:{2,3,5,7}:{(1817,1),(1873,1),(1874,1),(1948,1),(2734,1),(2743,1),(2782,1),(2784,1),(2908,1),(2942,1),(3561,1),(3772,1),(3800,1),(3827,1),(3984,1),(3991,1),(4675,1),(4914,1),(4917,1),(4939,1),(4951,1),(5083,1),(5095,1),(5102,1),(5809,1),(6055,1),(6079,1),(6164,1),(7131,1),(8505,1)}
2306:{2,3,6}:{(1818,1),(1877,1),(1949,1),(2759,1),(2773,1),(2909,1),(2946,1),(2947,1)}
2307:{2,3,6}:{(1819,1),(1878,1),(1950,1),(2784,1),(2910,1),(2946,1),(2947,1)}
2308:{2,3,5,7}:{(1820,1),(1877,1),(1878,1),(1951,1),(2760,1),(2769,1),(2773,1),(2783,1),(2784,1),(2911,1),(2947,1),(2948,1),(3561,1),(3577,1),(3578,1),(3789,1),(3800,1),(3956,1),(3976,1),(4675,1),(4914,1),(5083,1),(5102,1),(5809,1),(5856,1),(6164,1),(6902,1),(6947,1),(7150,1),(9491,1)}
2309:{3,6}:{(1881,1),(1952,1),(2721,1),(2776,1),(2786,1),(2947,1),(3576,1),(7124,1)}
2310:{3,7}:{(1880,1),(1953,1)}
2311:{3,5}:{(1880,1),(1954,1),(2724,1)}
2312:{3,5,7}:{(1881,1),(1955,1),(2719,1),(2725,1),(2776,1),(2785,1),(2786,1),(2947,1),(3751,1),(3757,1),(3976,1),(5102,1),(7124,1)}
2313:{2,3,6,7}:{(1821,1),(1876,1),(1882,1),(1956,1),(2567,1),(2758,1),(2774,1),(2777,1),(2786,1),(3576,1),(3762,1),(3799,1),(3800,1),(3813,1),(4629,1),(4698,1),(4937,1),(5754,1),(7124,1),(7131,1)}
2314:{2,3,4,6}:{(1822,1),(1882,1),(1883,1),(1957,1),(2683,1),(2707,1),(2722,1),(2744,1),(2771,1),(2775,1),(2791,1),(3716,1),(3726,1),(3777,1),(3785,1),(3807,1),(3825,1),(3972,1),(3973,1),(4695,1),(4698,1),(4862,1),(4863,1),(4924,1),(4932,1),(4937,1),(4941,1),(4958,1),(5744,1),(5745,1),(5777,1),(5778,1),(5843,1),(6014,1),(6019,1),(6772,1),(6832,1),(6886,1),(6887,1),(6903,1),(7102,1),(7124,1),(7716,1),(7796,1),(7841,1)}
2315:{1,5,6}:{(1771,1),(1884,1),(1885,1),(2710,1),(2794,1),(2919,1),(2920,1),(3514,1)}
2316:{1,5,7}:{(1772,1),(1884,1),(1897,1),(2670,1),(2711,1),(2793,1),(4575,1),(4757,1),(5095,1),(5861,1),(6007,1)}
2317:{1,4,6,7}:{(1773,1),(1885,1),(2026,1),(2028,1),(2668,1),(2712,1),(2794,1),(2808,1),(2923,1),(2924,1),(2958,1),(2960,1),(3517,1),(3595,1),(3713,1),(3851,1)}
2318:{1,5,6}:{(1774,1),(1890,1),(1891,1),(2572,1),(2713,1),(3514,1),(3703,1),(3706,1),(3830,1),(6106,1)}
2319:{1,5,7}:{(1775,1),(1886,1),(1892,1),(2714,1),(2796,1),(4757,1)}
2320:{5,6,7}:{(1887,1),(1888,1),(1894,1),(2572,1),(2575,1),(2796,1),(5690,1),(6106,1)}
2321:{5,6}:{(1889,1),(1895,1),(2669,1),(2796,1),(3706,1),(4968,1),(6106,1)}
2322:{1,4,5}:{(1778,1),(1884,1),(1898,1),(2583,1),(2677,1),(2717,1),(2866,1),(3503,1),(3726,1),(4575,1),(4757,1),(4849,1),(4965,1),(5707,1),(5745,1),(5861,1),(6825,1)}
2323:{1,4,6,7}:{(1777,1),(1891,1),(1893,1),(1958,1),(2579,1),(2668,1),(2718,1),(2795,1),(2814,1),(3517,1),(3734,1),(3851,1),(4759,1),(4761,1),(6106,1)}
2324:{1,4,5}:{(1779,1),(1899,1),(1959,1),(2719,1),(2800,1)}
2325:{4,6,7}:{(1895,1),(1896,1),(1976,1),(2796,1),(3539,1),(4741,1),(4983,1),(5690,1),(6106,1)}
2326:{1,4}:{(1782,1),(1960,1),(2721,1)}
2327:{1,4,6}:{(1783,1),(1899,1),(1978,1),(2683,1),(2722,1),(2797,1),(2806,1),(2807,1),(2926,1),(2927,1),(3507,1),(3716,1),(3722,1),(3726,1),(3844,1),(3871,1),(3970,1),(3972,1),(4006,1),(4606,1),(4729,1),(4860,1),(4862,1),(4863,1),(4985,1),(5007,1),(5098,1),(5119,1),(5707,1),(5744,2),(5745,1),(5800,1),(5894,1),(6013,1),(6014,1),(6015,1),(6019,1),(6832,1),(6980,1),(6984,1),(7102,1),(7716,1),(7796,1),(7902,1),(9445,1)}
2328:{1,4,7}:{(1784,1),(1898,1),(1979,1),(2685,1),(2723,1),(3713,1),(4864,1),(5707,1),(5745,1),(6829,1)}
2329:{1,4,7}:{(1785,1),(1899,1),(1980,1),(2683,1),(2725,1),(2804,1),(2925,1),(2926,1),(3509,1),(3724,1),(3844,1),(3871,1),(4006,1),(4860,1),(4862,1),(5745,1),(6984,1)}
2330:{1,6}:{(1786,1),(1900,1)}
2331:{1,6}:{(1787,1),(1902,1),(2808,1)}
2332:{1,5,6}:{(1788,1),(1901,1),(1907,1),(2811,1),(2816,1),(4754,1),(4968,1),(6106,1)}
2333:{1,5,7}:{(1789,1),(1901,1),(1913,1),(2809,1),(2812,1),(3590,1),(3830,1),(4576,1),(4756,1),(6105,1)}
2334:{1,5}:{(1790,1),(1915,1),(4968,1)}
2335:{1,5,7}:{(1791,1),(1905,1),(1908,1),(2814,1),(2823,1)}
2336:{1,4,5}:{(1792,1),(1901,1),(1914,1),(2580,1),(2816,1),(2837,1),(2883,1),(3621,1),(3848,1),(4968,1)}
2337:{1,4,5}:{(1793,1),(1902,1),(1916,1),(2583,1),(2815,1),(2838,1),(2884,1),(3849,1),(4965,1)}
2338:{1,6,7}:{(1794,1),(1907,1),(1908,1),(2808,1),(2811,1),(5690,1),(6106,1)}
2339:{1,4,5,7}:{(1796,1),(1900,1),(1909,1),(1910,1),(2599,1),(2802,1),(2812,1),(2818,1),(2823,1),(2886,1),(3599,1),(3655,1),(3830,1),(3841,1),(3853,1),(3919,1),(4724,1),(4728,1),(4756,1),(4798,1),(4860,1),(4969,1),(4976,1),(5055,1),(5887,1),(5897,1),(6982,1)}
2340:{1,4,6}:{(1797,1),(1910,1),(1917,1),(2812,1),(2887,1),(3841,1),(3919,1),(4728,1),(4729,1),(5893,1),(5894,1)}
2341:{1,4}:{(1795,1),(1918,1),(2850,1),(2888,1)}
2342:{1,4,6}:{(1798,1),(1905,1),(1909,1),(2605,1),(2823,1),(2889,1),(3919,1),(4728,1)}
2343:{1,4,6}:{(1799,1),(1911,1),(1961,1),(2587,1),(2846,1),(3841,1)}
2344:{1,4,5,7}:{(1800,1),(1903,1),(1911,1),(1912,1),(2584,1),(2586,1),(2636,1),(2821,1),(2847,1),(3637,1),(4576,1),(5876,1),(5915,1),(6827,1),(6961,1),(7943,1)}
2345:{1,4,6}:{(1801,1),(1904,1),(1912,1),(2585,1),(2642,1),(2848,1),(3639,1)}
2346:{1,4,7}:{(1802,1),(1914,1),(1977,1),(2826,1),(2849,1),(3637,1),(3841,1),(4860,1),(5691,1),(6120,1),(6827,1)}
2347:{1,4,7}:{(1803,1),(1915,1),(1981,1),(2808,1),(2813,1),(4729,1),(4983,1)}
2348:{1,4,7}:{(1804,1),(1916,1),(1982,1),(2827,1),(2829,1),(3844,1),(3849,1),(4006,1),(4985,1),(5745,1),(6978,1),(6984,1)}
2349:{1,4}:{(1805,1),(1983,1)}
2350:{1,3,5}:{(1808,1),(1901,1),(1934,1),(2819,1),(2833,1),(2837,1),(3850,1),(3887,1),(4894,1),(4968,1)}
2351:{1,3,5,7}:{(1809,1),(1902,1),(1935,1),(2808,1),(2813,1),(2820,1),(2831,1),(2835,1),(2838,1),(3879,1),(4580,1),(4693,1),(4901,1),(6047,1)}
2352:{1,3,5,7}:{(1806,1),(1903,1),(1918,1),(1932,1),(2592,1),(2821,1),(2847,1),(7005,1),(7943,1)}
2353:{1,3,5,6}:{(1807,1),(1904,1),(1918,1),(1923,1),(2594,1),(2822,1),(2833,1),(2848,1),(3608,1),(3887,1),(4747,1)}
2354:{1,3,5,6,7}:{(1810,1),(1906,1),(1920,1),(1921,1),(2713,1),(2714,1),(2716,1),(2793,1),(2836,1),(2839,1),(2841,1),(3609,1),(3750,1),(3754,1),(3851,1),(3877,1),(4695,1),(4716,1),(4732,1),(4735,1),(4757,1),(4866,1),(4986,1),(4990,1),(5826,1),(5831,1),(5888,1),(5904,1),(5917,1),(5953,1),(5971,1),(5992,1),(6036,1),(6039,1),(6104,1),(6106,1),(6863,1),(6957,1),(6973,1),(7003,1)}
2355:{1,3,5,7}:{(1811,1),(1900,1),(1922,1),(1929,1),(2596,1),(2813,1),(2836,1),(3855,1),(4629,1),(5761,1),(7124,1)}
2356:{1,3,6}:{(1812,1),(1907,1),(1925,1),(2844,1),(4695,1),(4747,1),(4903,1),(6039,1),(6106,1)}
2357:{1,3,7}:{(1813,1),(1908,1),(1924,1),(2808,1),(2845,1)}
2358:{1,3,5,6}:{(1814,1),(1905,1),(1922,1),(1924,1),(2604,1),(2607,1),(2810,1),(2836,1),(2840,1),(4841,1),(4842,1),(4894,1),(4903,1),(4968,1),(5761,1),(5764,1),(5894,1),(5900,1),(5992,1),(5993,1),(6039,1),(6106,1),(6868,1),(6989,1),(7124,1),(8043,1)}
2359:{1,4,6,7}:{(1815,1),(1919,1),(1926,1),(2041,1),(2043,1),(2526,1),(2527,1),(2842,1),(2906,1),(3521,1),(3713,1),(3861,1),(3946,1),(4608,1),(5745,1),(6829,1),(7778,1)}
2360:{1,4,6}:{(1816,1),(1920,1),(1928,1),(2699,1),(2907,1),(3521,1),(3947,1),(4853,1),(5119,1),(5745,1)}
2361:{1,4,5,7}:{(1817,1),(1921,1),(1926,1),(1927,1),(2598,1),(2700,1),(2806,1),(2841,1),(2845,1),(2908,1),(2958,1),(3597,1),(3658,1),(3713,1),(3855,1),(3861,1),(3877,1),(3946,1),(4609,1),(4730,1),(4740,1),(4757,1),(4764,1),(4854,1),(4860,1),(4980,1),(4992,1),(5005,1),(5075,1),(5095,1),(5745,1),(5888,1),(5917,1),(6127,1),(6825,1),(6829,2),(6973,1),(6984,1),(7249,1),(7917,1)}
2362:{1,4,6}:{(1818,1),(1923,1),(1930,1),(2833,1),(2909,1),(3844,1)}
2363:{1,4,6}:{(1819,1),(1924,1),(1931,1),(2606,1),(2845,1),(2910,1),(5119,1)}
2364:{1,4,5,7}:{(1820,1),(1925,1),(1930,1),(1931,1),(2598,1),(2819,1),(2830,1),(2833,1),(2844,1),(2845,1),(2911,1),(3658,1),(3844,1),(3850,1),(3855,1),(3861,1),(3877,1),(4730,1),(4757,1),(4973,1),(4980,1),(5745,1),(5888,1),(6978,1),(6984,1)}
2365:{3,7}:{(1911,1),(1933,1),(2846,1)}
2366:{3,5}:{(1912,1),(1933,1),(2848,1),(2850,1)}
2367:{1,3,4,6,7}:{(1821,1),(1913,1),(1929,1),(1932,1),(1934,1),(2600,1),(2601,1),(2821,1),(2834,1),(2836,1),(2839,1),(2849,1),(2915,1),(3630,1),(3762,1),(3845,1),(3847,1),(3859,1),(3861,1),(3872,1),(3880,1),(3881,1),(4629,1),(4696,1),(4844,1),(4860,1),(4902,1),(4904,1),(4981,1),(4983,1),(5003,1),(5833,1),(5993,1),(6039,1),(6050,1),(6106,1),(6157,1),(6827,1),(7005,1),(7006,1),(7102,1),(7124,1),(7199,1),(8079,1),(8594,1)}
2368:{3,4}:{(1914,1),(1933,1),(2721,1),(2837,1),(2916,1),(3848,1)}
2369:{1,3,4,6}:{(1822,1),(1915,1),(1935,1),(1989,1),(2608,1),(2827,1),(2829,1),(2831,1),(2835,1),(3613,1),(3642,1),(3860,1),(4695,1),(5745,1),(5777,1),(5904,1),(6978,1)}
2370:{1,3,4}:{(1916,1),(1990,1),(2011,1),(2012,1),(2838,1),(2918,1),(3583,1),(3849,1),(4006,1),(4633,1),(4729,1),(5024,1),(6817,1)}
2371:{1,2,6,7}:{(1823,1),(1936,1),(2027,1),(2028,1),(2770,1),(2875,1),(4990,1)}
2372:{1,2,5}:{(1824,1),(1884,1),(1957,1),(2669,1),(2771,1),(2797,1),(2937,1),(2938,1),(3550,1),(3706,1),(3850,1),(4757,1),(4910,1),(4965,1),(4968,1),(5107,1),(5860,1),(5861,1),(6054,1),(6061,1),(7130,1)}
2373:{2,5,7}:{(1887,1),(1946,1),(2044,1),(2045,1),(2861,1)}
2374:{2,5,6}:{(1888,1),(1947,1),(2045,1),(2046,1),(2862,1)}
2375:{2,5}:{(1889,1),(1949,1),(2863,1)}
2376:{1,2,5,6}:{(1826,1),(1886,1),(1937,1),(1943,1),(2669,1),(2772,1),(2858,1),(2859,1),(2864,1),(3703,1),(3706,1),(3830,1),(3850,1),(3896,1),(4755,1),(4757,1),(4910,1),(4964,1),(4968,1),(4986,1),(5037,1),(5069,1),(6106,1),(6167,1),(6180,1)}
2377:{1,2,5,7}:{(1827,1),(1890,1),(1937,1),(1956,1),(2613,1),(2615,1),(2774,1),(2856,1),(2865,1),(3550,1),(3706,1),(3830,1),(4656,1),(4755,1),(4910,1),(5070,1),(6180,1)}
2378:{1,2,4,6}:{(1828,1),(1885,1),(1936,1),(1938,1),(2678,1),(2726,1),(2775,1),(2800,1),(2854,1),(2880,1),(2944,1),(2945,1),(2967,1),(3553,1),(3659,1),(3716,1),(3718,1),(3777,1),(3834,1),(3840,1),(3870,1),(3900,1),(3913,1),(3926,1),(3970,1),(3972,1),(4606,1),(4707,1),(4759,1),(4863,1),(4918,1),(4975,1),(5119,1),(5894,1),(6008,1),(6104,1),(6106,1),(6167,1),(6186,1),(6887,1),(7016,1),(7017,1),(7102,1),(7168,1),(7795,1),(7796,1)}
2379:{1,4,5}:{(1830,1),(1937,1),(1952,1),(2683,1),(2776,1),(2863,1),(2882,1),(3830,1),(3844,1),(3871,1),(3948,1),(4860,1)}
2380:{1,2,6}:{(1825,1),(1891,1),(1942,1),(2616,1),(2726,1),(2777,1),(3553,1),(3799,1),(6106,1)}
2381:{1,2,4,6,7}:{(1831,1),(1892,1),(1939,1),(1943,1),(1944,1),(2684,1),(2780,1),(2859,1),(2869,1),(2870,1),(2885,1),(3724,1),(3800,1),(3839,1),(3872,1),(3923,1),(3958,1),(4974,1),(4980,1),(4983,1),(5044,1),(6106,1),(6167,1),(7102,1),(7131,1)}
2382:{1,2,4,5,7}:{(1829,1),(1893,1),(1942,1),(1944,1),(1945,1),(2622,1),(2623,1),(2673,1),(2687,1),(2727,1),(2781,1),(2802,1),(2859,1),(2865,1),(2867,1),(2881,1),(3537,1),(3555,1),(3646,1),(3656,1),(3694,1),(3706,1),(3721,1),(3724,1),(3786,1),(3800,1),(3830,1),(3835,1),(3839,1),(3842,1),(3855,1),(3873,1),(3901,1),(3915,1),(3923,1),(4613,1),(4656,1),(4665,1),(4755,1),(4763,1),(4766,1),(4796,1),(4847,1),(4855,1),(4860,1),(4864,1),(4910,1),(4914,1),(4919,1),(4970,1),(4972,1),(4976,1),(4980,1),(4983,1),(4988,1),(5044,1),(5056,1),(5070,1),(5095,1),(5744,1),(5798,1),(5865,1),(5866,1),(5872,1),(5874,1),(5878,1),(5916,1),(5918,1),(5934,1),(6007,1),(6014,1),(6053,1),(6055,1),(6061,1),(6105,1),(6120,1),(6168,1),(6169,1),(6173,1),(6180,1),(6188,1),(6799,1),(6803,1),(6826,1),(6828,1),(6880,1),(6959,1),(7001,1),(7031,1),(7041,1),(7053,1),(7098,1),(7103,1),(7104,1),(7131,5),(7137,1),(7213,1),(7779,1),(7834,1),(7837,1),(7942,1),(7976,1),(8026,1),(8514,1)}
2383:{2,6,7}:{(1894,1),(1947,1),(1948,1),(2616,1),(2619,1)}
2384:{2,4,6}:{(1895,1),(1947,1),(1951,1),(2616,1),(2619,1),(2783,1),(2858,1),(2862,1),(2945,1),(3539,1),(3647,1),(3648,1),(3723,1),(3970,1),(4826,1),(5733,1),(5943,1),(5949,1),(7102,1),(7201,1)}
2385:{2,4,7}:{(1896,1),(1948,1),(1950,1),(2784,1),(2861,1),(2942,1),(3800,1)}
2386:{1,4,6}:{(1835,1),(1955,1),(1962,1),(2785,1),(2862,1),(3648,1),(3947,1),(3970,1),(4807,1),(5119,1)}
2387:{1,4,7}:{(1836,1),(1952,1),(1964,1),(2786,1),(2861,1),(3946,1)}
2388:{1,4,6,7}:{(1837,1),(1953,1),(1963,1),(2048,1),(2049,1),(2624,1),(2787,1),(2861,1),(2958,1),(2960,1),(3648,1),(3839,1),(3946,1),(4764,1),(4807,1),(4850,1),(6123,1),(6798,1),(6803,1),(7778,1)}
2389:{1,4,5,7}:{(1838,1),(1940,1),(1953,1),(1954,1),(2626,1),(2638,1),(2685,1),(2788,1),(3503,1),(3636,1),(4575,1),(5707,1),(6775,1),(6803,1),(6880,1),(7976,1)}
2390:{1,4,5,6}:{(1839,1),(1941,1),(1954,1),(2048,1),(2049,1),(2624,1),(2641,1),(2686,1),(2789,1),(2863,1),(2955,1),(2956,1),(3640,1),(3648,1),(3830,1),(3844,1),(3948,1),(3969,1),(3970,1),(4602,1),(4706,1),(4757,1),(4807,1),(4860,1),(4964,1),(4975,1),(5119,1),(5121,1),(5745,1),(5888,1),(6013,1),(6775,1),(6784,1),(6984,1),(7717,1),(7764,1)}
2391:{1,2,4,6,7}:{(1840,1),(1897,1),(1957,1),(1984,1),(2684,1),(2726,1),(2742,1),(2790,1),(2806,1),(2855,1),(2872,1),(2893,1),(3834,1),(3847,1),(3872,1),(3900,1),(3913,1),(4596,1),(4729,1),(4863,1),(4974,1),(4982,1),(4983,1),(5003,1),(5044,1),(5070,1),(5112,1),(5707,1),(5879,1),(5880,1),(5894,1),(5935,1),(5939,1),(5942,1),(5981,1),(6066,1),(6104,1),(6106,1),(6135,1),(6137,1),(6167,1),(6186,1),(6188,1),(6193,1),(6803,1),(7016,1),(7017,1),(7053,1),(7055,1),(7102,1),(7131,1),(7796,1),(8545,1),(9096,1),(9445,1)}
2392:{1,2,4,6}:{(1841,1),(1898,1),(1985,1),(2050,1),(2051,1),(2744,1),(2791,1),(2866,1),(2872,1),(2967,1),(3544,1),(3700,1),(3726,1),(3777,1),(3900,1),(3972,1),(4596,1),(4774,1),(4824,1),(4863,1),(4924,1),(5707,1),(6887,1),(7841,1),(8545,1)}
2393:{1,2,4}:{(1842,1),(1899,1),(1986,1),(2792,1)}
2394:{1,2,5,6}:{(1843,1),(1936,1),(1959,1),(2035,1),(2037,1),(2800,1),(2875,1),(2880,1),(2967,1),(3854,1),(5119,1)}
2395:{1,2,5,7}:{(1844,1),(1900,1),(1960,1),(1969,1),(2802,1),(2876,1),(3830,1)}
2396:{1,2,5}:{(1845,1),(1901,1),(1974,1),(2803,1),(2882,1),(3830,1),(3850,1),(4838,1),(4968,1)}
2397:{1,2,5,6}:{(1846,1),(1905,1),(1960,1),(1966,1),(2824,1),(2876,1),(2881,1),(2882,1),(2889,1),(3830,1),(3918,1),(3919,1),(3933,1),(4989,1),(5065,1),(5067,1),(5894,1),(6180,1)}
2398:{1,2,5}:{(1847,1),(1902,1),(1975,1),(2825,1),(2880,1)}
2399:{1,2,5,6,7}:{(1848,1),(1906,1),(1939,1),(1962,1),(1964,1),(2856,1),(2857,1),(2859,1),(2870,1),(2875,1),(2876,1),(2885,1),(3830,1),(3918,1),(3920,1),(3984,1),(4656,1),(4986,1),(4990,1),(6106,1),(6167,1)}
2400:{1,2,6}:{(1849,1),(1907,1),(1968,1),(2890,1),(3918,1),(5733,1),(5894,1),(6106,1)}
2401:{1,2,7}:{(1850,1),(1908,1),(1966,1),(2891,1)}
2402:{1,2,5,7}:{(1851,1),(1903,1),(1967,1),(1971,1),(2629,1),(2637,1),(2813,1),(3587,1),(3590,1),(3830,1),(4755,1),(4787,1),(5070,1),(5860,1),(5962,1),(6180,1),(6189,1),(6971,1),(7053,1),(7214,1),(7222,1),(7976,1),(8545,1),(8643,1)}
2403:{1,2,5,6}:{(1852,1),(1904,1),(1965,1),(1967,1),(2631,1),(2640,1),(2643,1),(2810,1),(4837,1),(4838,1),(4968,1),(5037,1),(5069,1),(5733,1),(5921,1),(6106,1),(6167,1),(6180,1),(7869,1)}
2404:{1,2,5}:{(1853,1),(1909,1),(1970,1),(2871,1),(2889,1)}
2405:{1,2,7}:{(1854,1),(1910,1),(1970,1),(2887,1),(3667,1),(7222,1)}
2406:{1,4,6}:{(1855,1),(1966,1),(1973,1),(2882,1),(2891,1),(2912,1),(3871,1),(3918,1),(3919,1),(4729,1),(5894,1)}
2407:{1,4,6}:{(1856,1),(1965,1),(1972,1),(2641,1),(2913,1),(3594,1),(3918,1),(4807,1),(5119,1),(5894,1),(6104,1)}
2408:{1,4,5,7}:{(1857,1),(1968,1),(1973,1),(2802,1),(2803,1),(2825,1),(2830,1),(2882,1),(2890,1),(2891,1),(2914,1),(3830,1),(3839,1),(3850,1),(3855,1),(3866,1),(3871,1),(3920,1),(4860,1),(4996,1),(5005,1),(5709,1)}
2409:{1,2,4,6,7}:{(1858,1),(1913,1),(1969,1),(1974,1),(2802,1),(2876,1),(2878,1),(2885,1),(2887,1),(2891,1),(2892,1),(2893,1),(2915,1),(3674,1),(3838,1),(3839,1),(3841,1),(3845,1),(3847,1),(3865,1),(3872,1),(3908,1),(3913,1),(3918,1),(3919,1),(3921,1),(3923,1),(3931,1),(3934,1),(4587,1),(4729,1),(4782,1),(4974,1),(4976,1),(4981,1),(4983,1),(5001,1),(5003,1),(5041,1),(5044,1),(5065,1),(5070,1),(5878,1),(5894,1),(6106,1),(6157,1),(6167,1),(6173,1),(6189,1),(7102,1),(7131,1),(7199,1),(7222,1),(7779,1),(8079,1)}
2410:{1,2,4}:{(1859,1),(1914,1),(1970,1),(2883,1),(2888,1),(2916,1),(3699,1),(3848,1)}
2411:{1,2,4,6}:{(1860,1),(1915,1),(1975,1),(1987,1),(2645,1),(2807,1),(2828,1),(2879,1),(2880,1),(2893,1),(3659,1),(3840,1),(3847,1),(3913,1),(4729,1),(5894,1)}
2412:{1,2,4}:{(1861,1),(1916,1),(1988,1),(2884,1),(2918,1),(3700,1),(3849,1),(4006,1),(5071,1),(8545,1)}
2413:{1,2,3,5,7}:{(1863,1),(1959,1),(1992,1),(2039,1),(2040,1),(2669,1),(2719,1),(2771,1),(2801,1),(2855,1),(2875,1),(2896,1),(2937,1),(2939,1),(2949,1),(2950,1),(2971,1),(2972,1),(3548,1),(3666,1),(3686,1),(3705,1),(3730,1),(3751,1),(3753,1),(3757,1),(3810,1),(3818,1),(3822,1),(3850,1),(3855,1),(3878,1),(3896,1),(3917,1),(3976,1),(3984,1),(3991,1),(3993,1),(4693,1),(4757,1),(4868,1),(4888,1),(4890,1),(4901,1),(4914,1),(4944,1),(4965,1),(4987,1),(4991,1),(4992,1),(5010,1),(5012,1),(5032,1),(5053,1),(5054,1),(5064,1),(5073,1),(5095,3),(5096,1),(5102,1),(5107,1),(5108,1),(5116,1),(5127,1),(5763,1),(5860,1),(5861,1),(5888,1),(5901,1),(5917,1),(5919,1),(5959,1),(6007,1),(6021,1),(6036,1),(6045,1),(6047,1),(6055,1),(6061,1),(6091,1),(6124,1),(6141,1),(6161,1),(6180,1),(6185,1),(6188,1),(6195,1),(6220,1),(6233,1),(6786,1),(6853,2),(6860,1),(6915,1),(6930,3),(6933,1),(6973,1),(7118,1),(7124,1),(7130,1),(7131,1),(7138,1),(7172,1),(7173,1),(7213,1),(7214,1),(7221,1),(7249,4),(7725,1),(7766,1),(7769,1),(7837,2),(7945,1),(7976,1),(8026,1),(8040,1),(8041,1),(8054,1),(8545,1),(8580,1),(8701,1),(9043,1),(9072,1),(9456,1)}
2414:{1,2,3,5,6}:{(1864,1),(1917,1),(1961,1),(1977,1),(2592,1),(2595,1),(2648,1),(2649,1),(2809,1),(2812,1),(2826,1),(2846,1),(2876,1),(2887,1),(3501,1),(3502,1),(3589,1),(3590,1),(3593,1),(3610,1),(3667,1),(3668,1),(3680,1),(3682,1),(3690,1),(3762,1),(3830,1),(3880,1),(3882,1),(3916,1),(3921,1),(3924,1),(3961,1),(4736,1),(4756,1),(4775,1),(4776,1),(4786,1),(4899,1),(4942,1),(5077,1),(5730,1),(5768,1),(5769,1),(5823,1),(5893,1),(5894,1),(6144,1),(6205,1),(6889,1),(7186,1),(7222,1),(8079,1)}
2415:{1,2,3,5,6}:{(1865,1),(1920,1),(1962,1),(1980,1),(2669,1),(2772,1),(2779,1),(2785,1),(2804,1),(2901,1),(2907,1),(3574,1),(3689,1),(3751,1),(3825,1),(3850,1),(3896,1),(3942,1),(3947,1),(3949,1),(4695,1),(4757,1),(4807,1),(4903,1),(4991,1),(5069,1),(5073,1),(5093,1),(5119,1),(5888,1),(5904,1),(5969,1),(6180,1),(7124,1)}
2416:{1,2,3,5,6,7}:{(1866,1),(1919,1),(1963,1),(1979,1),(2054,1),(2055,1),(2556,1),(2559,1),(2650,1),(2651,1),(2670,1),(2778,1),(2787,1),(2793,1),(2805,1),(2906,1),(2964,1),(3491,1),(3497,1),(3512,1),(3574,1),(3587,1),(3588,1),(3594,1),(3679,1),(3681,1),(3689,1),(3754,1),(3756,1),(3769,1),(3826,1),(3897,1),(3900,1),(3943,1),(3946,1),(3984,1),(3991,1),(4013,1),(4591,1),(4597,1),(4628,1),(4629,1),(4640,1),(4657,1),(4695,1),(4735,1),(4757,1),(4777,1),(4778,1),(4781,1),(4803,1),(4807,1),(4812,1),(4818,1),(4820,1),(4822,1),(4870,1),(4947,1),(4948,1),(4986,1),(4992,1),(5054,2),(5092,1),(5095,1),(5102,1),(5116,1),(5721,1),(5729,1),(5767,1),(5770,1),(5771,1),(5826,1),(5831,1),(5861,1),(5888,1),(5904,1),(5917,1),(5969,1),(5971,1),(5990,1),(6007,1),(6036,1),(6039,1),(6047,2),(6104,2),(6106,1),(6123,1),(6167,1),(6180,1),(6196,1),(6199,1),(6225,1),(6233,1),(6761,1),(6863,1),(6887,1),(6915,1),(6935,1),(6957,1),(6973,1),(7003,1),(7016,1),(7030,1),(7039,1),(7052,1),(7075,1),(7124,1),(7131,1),(7173,1),(7213,1),(7248,1),(7249,1),(7727,1),(7766,1),(7778,1),(7884,1),(8008,1),(8040,1),(8106,1),(8505,1),(8545,1),(8618,1)}
2417:{1,2,3,5,7}:{(1867,1),(1921,1),(1964,1),(1978,1),(1984,1),(2774,1),(2778,1),(2786,1),(2806,1),(2855,1),(2875,1),(2902,1),(2908,1),(3681,1),(3753,1),(3757,1),(3810,1),(3818,1),(3827,1),(3855,1),(3915,1),(3946,1),(3950,1),(3984,1),(3991,1),(4629,1),(4656,1),(4900,1),(4944,1),(4992,1),(5012,1),(5054,1),(5070,1),(5092,1),(5095,1),(5102,1),(5116,1),(5754,1),(5830,1),(6036,1),(6047,1),(6091,1),(6180,1),(6188,1),(6233,1),(6915,1),(6930,1),(7053,1),(7124,1),(7131,1),(7213,1),(7249,1),(7766,1),(7773,1),(7976,1),(8040,1),(8545,1)}
2418:{1,2,3,5}:{(1869,1),(1922,1),(1960,1),(1987,1),(2654,1),(2721,1),(2807,1),(2879,1),(3586,1),(3765,1),(6180,1),(7124,1)}
2419:{1,2,3,6}:{(1870,1),(1923,1),(1965,1),(1982,1),(2827,1),(2831,1),(2909,1),(2913,1),(3594,1),(3689,1),(3926,1),(4695,1),(4807,1),(5119,1),(5904,1),(5969,1),(6104,1)}
2420:{1,2,3,6}:{(1871,1),(1924,1),(1966,1),(1983,1),(2828,1),(2880,1),(2902,1),(2910,1),(2912,1),(3888,1),(5119,1),(5894,1)}
2421:{1,2,3,5}:{(1868,1),(1918,1),(1967,1),(1989,1),(2666,1),(2667,1),(2829,1),(2835,1),(2888,1),(3702,1),(3930,1),(6915,1)}
2422:{1,2,3,5,7}:{(1872,1),(1925,1),(1968,1),(1983,1),(1991,1),(2830,1),(2897,1),(2901,1),(2902,1),(2911,1),(2914,1),(3850,1),(3855,1),(3950,1),(3967,1),(4827,1),(5070,1),(5073,1),(6091,1),(6180,1),(7124,1)}
2423:{1,2,7}:{(1873,1),(1926,1),(1985,1),(2758,1)}
2424:{1,2,5,6}:{(1874,1),(1927,1),(1985,1),(1986,1),(2654,1),(2655,1),(2760,1),(2866,1),(2873,1),(2907,1),(2908,1),(2910,1),(2967,1),(2977,1),(3562,1),(3688,1),(3689,1),(3777,1),(3799,1),(3896,1),(3900,1),(3925,1),(3927,1),(4641,1),(4755,1),(4757,1),(4824,1),(4837,1),(4910,1),(4913,1),(5037,1),(5057,1),(5069,1),(5071,1),(5119,1),(5729,1),(5919,1),(5969,1),(6061,1),(6167,1),(6180,1),(6187,1),(6786,1),(6887,2),(7016,1),(7964,1),(8545,1)}
2425:{1,2,5,7}:{(1875,1),(1928,1),(1986,1),(2057,1),(2058,1),(2760,1),(2874,1),(2907,1),(2977,1),(3561,1),(3800,1),(3896,1),(4914,1)}
2426:{1,2,3,7}:{(1876,1),(1929,1),(1969,1),(1987,1),(2659,1),(2893,1),(4900,1),(5070,1),(6903,1)}
2427:{1,2,7}:{(1877,1),(1930,1),(1988,1),(2888,1),(2909,1),(3946,1)}
2428:{1,2,5}:{(1878,1),(1931,1),(1988,1),(2895,1),(2910,1),(3948,1),(5071,1)}
2429:{1,2,3,6,7}:{(1879,1),(1932,1),(1971,1),(1981,1),(1989,1),(2648,1),(2662,1),(2663,1),(2851,1),(2903,1),(3487,1),(3500,1),(3698,1),(3762,1),(4583,1),(4629,1),(4698,1),(4782,1),(4814,1),(5059,1),(5060,1),(6817,1),(6943,1),(7039,1),(7080,1),(7124,1),(7131,1),(7773,1),(7946,1),(8012,1),(8022,1),(8040,1),(8079,1),(8562,1)}
2430:{1,3,5,7}:{(1972,1),(1990,1),(2023,1),(2025,1),(2660,1),(2663,1),(2665,1),(2667,1),(2838,1),(2852,1),(2913,1),(3879,1),(3883,1),(3946,1),(3948,1),(4992,1),(5024,1),(6817,1),(7124,1),(7249,1),(7766,1),(7773,1)}
2431:{1,3}:{(1881,1),(1973,1),(2721,1),(7124,1)}
2432:{1,2,3,6}:{(1882,1),(1934,1),(1974,1),(1991,1),(2721,1),(2888,1),(2897,1),(2909,1),(2912,1),(2916,1),(3762,1),(3763,1),(3927,1),(3952,1),(3963,1),(4958,1),(7088,1),(7124,1)}
2433:{1,2,3,4,7}:{(1883,1),(1935,1),(1975,1),(1991,1),(2830,1),(2853,1),(2893,1),(2894,1),(2898,1),(2917,1),(2918,1),(3698,1),(3768,1),(3849,1),(3893,1),(3967,1),(4006,1),(4595,1),(4714,1),(4729,1),(4816,1),(4900,1),(4904,1),(4978,1),(4982,1),(4983,1),(5044,1),(5059,1),(5070,1),(5781,1),(5939,1),(6047,1),(6100,1),(6188,1),(6193,1),(6817,1),(7124,1),(7131,1),(7242,1),(7245,1),(8040,1),(8545,1)}
2434:{5}:{(1999,1)}
2435:{3,5,7}:{(2001,1),(2669,1),(2921,1),(2957,1),(3705,1),(3751,1),(4868,1),(5095,1),(6007,1),(6021,1)}
2436:{5}:{(2000,1)}
2437:{4,7}:{(1995,1),(2002,1),(2942,1)}
2438:{4,7}:{(1993,1),(2004,1)}
2439:{3,4,5,7}:{(1994,1),(2003,1),(2676,1),(2922,1),(2941,1),(2959,1),(3705,1),(3732,1),(3757,1),(4851,1),(4854,1),(4880,1),(4885,1),(4890,1),(5095,1),(5102,1),(6016,1),(6829,1)}
2440:{4,6}:{(1997,1),(2007,1),(2920,1),(6106,1)}
2441:{4,6}:{(1996,1),(2005,1),(2919,1),(2945,1)}
2442:{3,4,6}:{(1998,1),(2006,1),(2678,1),(2921,1),(2943,1),(2962,1),(3731,1),(3968,1),(4853,1),(6008,1),(6863,1),(7248,1),(7796,1)}
2443:{3,6,7}:{(2002,1),(2005,1),(2028,1),(2668,1),(2923,1),(5102,1)}
2444:{3,6,7}:{(2003,1),(2006,1),(2027,1),(3757,1)}
2445:{2,3,6,7}:{(2004,1),(2007,1),(2026,1),(2668,1),(2712,1),(2924,1),(3516,1),(3774,1),(3991,1),(4816,1)}
2446:{3,5}:{(2011,1),(2030,1),(2928,1)}
2447:{1,3,5}:{(2013,1),(2029,1),(2719,1),(3751,1),(4868,1),(5763,1),(5888,1),(9072,1)}
2448:{3,5}:{(2012,1),(2031,1),(2929,1)}
2449:{3,4,7}:{(2012,1),(2023,1),(2034,1),(2724,1),(2934,1),(2952,1),(3743,1),(3766,1),(4628,1),(4629,1),(4860,1),(6047,1),(7124,1),(7720,1)}
2450:{1,3,4,7}:{(2013,1),(2024,1),(2032,1),(2725,1),(2953,1),(3757,1),(3871,1),(4006,1),(4730,1),(4843,1),(4885,1),(5024,1),(5779,1),(7720,1),(8517,1)}
2451:{3,4,7}:{(2011,1),(2025,1),(2033,1),(2724,1),(2935,1),(2954,1),(4633,1),(5102,1),(5745,1),(6047,1),(7720,1)}
2452:{2,3,5,6}:{(1994,1),(2015,1),(2735,1),(2941,1),(2943,1),(2969,1),(3770,1),(3819,1),(4913,1),(4932,1),(6887,1),(7853,1),(8612,1),(9043,1),(9456,1)}
2453:{2,6}:{(1995,1),(2016,1),(2942,1)}
2454:{2,4,6}:{(1993,1),(2014,1),(2733,1),(2754,1),(2940,1),(3531,1),(3777,1),(3970,1),(3972,1),(6887,1)}
2455:{2,3,5,7}:{(1998,1),(2015,1),(2017,1),(2738,1),(2943,1),(2972,1),(3976,1),(4914,1),(5095,1),(5102,1),(6055,1)}
2456:{2,4,5,7}:{(1997,1),(2014,1),(2018,1),(2734,1),(2761,1),(2938,1),(2940,1),(2944,1),(3538,1),(3710,1),(3712,1),(3983,1),(3986,1),(4771,1),(4856,1),(5095,1),(5107,1),(5718,1),(5940,1),(6055,1),(6164,1),(6218,1)}
2457:{2,5,7}:{(1996,1),(2016,1),(2019,1),(2937,1),(2942,1),(2945,1)}
2458:{2,4,6}:{(2000,1),(2019,1),(2021,1),(2926,1),(2937,1),(2945,1),(3970,1)}
2459:{2,4,6}:{(1999,1),(2018,1),(2022,1),(2927,1),(2938,1),(3539,1),(4863,1),(5943,1),(7102,1)}
2460:{2,3,4,6,7}:{(2001,1),(2017,1),(2020,1),(2741,1),(2925,1),(2939,1),(2943,1),(2973,1),(3748,1),(3780,1),(3825,1),(3968,1),(4000,1),(4862,1),(4940,1),(4954,1),(5102,1),(5103,1),(5105,1),(5112,1),(5113,1),(6016,1),(6224,1),(7248,1),(7796,1)}
2461:{2,3,5,7}:{(2010,1),(2020,1),(2046,1),(2779,1),(2925,1),(2948,1),(2976,1),(3984,1),(4000,1),(5102,1)}
2462:{2,3,5}:{(2008,1),(2021,1),(2045,1),(2926,1),(2937,1),(2947,1),(2977,1),(3976,1),(3998,1)}
2463:{2,3,5,6}:{(2009,1),(2022,1),(2044,1),(2773,1),(2778,1),(2927,1),(2938,1),(2946,1),(2978,1),(3769,1),(3974,1),(3994,1),(3999,1),(4870,1),(5809,1)}
2464:{1,3,5,6,7}:{(2024,1),(2047,1),(2785,1),(2930,1),(2936,1),(2948,1),(3751,1),(3757,1),(3816,1),(3947,1),(3949,1),(3959,1),(4679,1),(4807,1),(4871,1),(4889,1),(4890,1),(4892,1),(4991,1),(5010,1),(5011,1),(5012,1),(5075,1),(5102,1),(5119,1),(5888,1),(6020,1),(6036,1),(6039,1),(6123,1),(6124,1),(6125,1),(6863,1),(6973,1),(7124,1),(7248,1),(7249,1),(8040,1),(8106,1)}
2465:{3,6}:{(2025,1),(2048,1),(2947,1),(7124,1)}
2466:{3,6}:{(2023,1),(2049,1)}
2467:{2,3}:{(2011,1),(2051,1)}
2468:{2,3}:{(2012,1),(2050,1),(3583,1)}
2469:{1,2,3,6}:{(2013,1),(2052,1),(2792,1),(2949,1),(2953,1),(3819,1),(3825,1),(5843,1),(5969,1),(6005,1),(9096,1)}
2470:{1,4,6}:{(1993,1),(2031,1),(2036,1),(2929,1),(2960,1),(3970,1),(4606,1),(5119,1),(5894,1)}
2471:{1,4,5,6}:{(1994,1),(2029,1),(2037,1),(2800,1),(2930,1),(2959,1),(2962,1),(2969,1),(3854,1),(3971,1),(4997,1),(5119,1),(7912,1),(8647,1),(9067,1)}
2472:{1,4,6}:{(1995,1),(2030,1),(2035,1),(2928,1),(2958,1),(2967,1),(3972,1)}
2473:{1,4,5,7}:{(1996,1),(2030,1),(2033,1),(2039,1),(2677,1),(2932,1),(2955,1),(2958,1),(2963,1),(2971,1),(3505,1),(3620,1),(3713,1),(4740,1),(5095,1),(5745,1),(6825,1),(6829,1),(7249,1)}
2474:{1,4,5,7}:{(1998,1),(2029,1),(2032,1),(2040,1),(2962,1),(2972,1),(3855,1),(5095,1),(5745,1),(6825,1),(6829,1),(7249,1)}
2475:{1,4,5,7}:{(1997,1),(2031,1),(2034,1),(2038,1),(2677,1),(2933,1),(2956,1),(2960,1),(2961,1),(3505,1),(3620,1),(3710,1),(3712,1),(3713,1),(3717,1),(3726,1),(3846,1),(3849,1),(4712,1),(4714,1),(4740,1),(4849,1),(4856,1),(4864,1),(4865,1),(4965,1),(4978,1),(4982,1),(4985,1),(4992,1),(4993,1),(5707,1),(5718,1),(5744,1),(5745,2),(5860,1),(5861,1),(6009,1),(6109,1),(6118,1),(6119,1),(6127,1),(6139,1),(6218,1),(6775,1),(6803,1),(6823,1),(6825,2),(6828,1),(6829,2),(6832,1),(6847,1),(6978,1),(6980,1),(6984,1),(7164,1),(7173,1),(7249,1),(7706,1),(7716,2),(7804,1),(7806,1),(7812,1),(7902,1),(7908,1),(7909,1),(7912,1),(7913,1),(7917,1),(7918,1),(7935,1),(8517,1),(9072,1),(9445,1)}
2476:{1,4,6}:{(1999,1),(2034,1),(2055,1),(2686,1),(2927,1),(2934,1),(2956,1),(3722,1),(3844,1),(4860,1),(4863,1),(4985,1),(5744,1),(5745,1),(5943,1),(6013,1),(6847,1),(6978,1),(6980,1),(6984,2),(7102,1),(7717,1)}
2477:{1,4,6,7}:{(2001,1),(2032,1),(2053,1),(2804,1),(2925,1),(2957,1),(2962,1),(3724,1),(3968,1),(3971,1),(4612,1),(4853,1),(4862,1),(4980,1),(5745,1),(6015,1),(6016,1),(6112,1),(6118,1),(6137,1),(6829,1),(6984,1),(7102,1),(7796,1),(7917,1)}
2478:{1,4,6}:{(2000,1),(2033,1),(2054,1),(2686,1),(2926,1),(2935,1),(2955,1),(3844,1),(3970,1),(3972,1),(4006,1),(4863,1),(4985,1),(5098,1),(5119,1),(5745,1),(6984,1),(7796,1)}
2479:{1,2,5,7}:{(2004,1),(2026,1),(2036,1),(2794,1),(2808,1),(2960,1),(3597,1),(3922,1),(3984,1),(4656,1)}
2480:{1,5,7}:{(2002,1),(2028,1),(2035,1),(2808,1),(2958,1),(5095,1)}
2481:{1,5,7}:{(2003,1),(2027,1),(2037,1),(3705,1)}
2482:{1,3,5,6}:{(2005,1),(2035,1),(2039,1),(2710,1),(2793,1),(2831,1),(2919,1),(2928,1),(2963,1),(3512,1),(3594,1),(3754,1),(3852,1),(3978,1),(5119,1),(5826,1),(6104,1),(6863,1),(6957,1)}
2483:{1,2,3,5,6}:{(2007,1),(2036,1),(2038,1),(2710,1),(2793,1),(2831,1),(2920,1),(2929,1),(2961,1),(3512,1),(3594,1),(3612,1),(3754,1),(3769,1),(3777,1),(3788,1),(3809,1),(3817,1),(3852,1),(3900,1),(3913,1),(3926,1),(3951,1),(3977,1),(3997,1),(4007,1),(4640,1),(4735,1),(4777,1),(4778,1),(4812,1),(4814,1),(4824,1),(4870,1),(4897,1),(4948,1),(4964,1),(4965,1),(4986,1),(5011,1),(5119,1),(5121,1),(5721,1),(5729,1),(5732,1),(5767,1),(5770,1),(5825,1),(5826,2),(5860,1),(5861,1),(5894,1),(6039,1),(6104,4),(6106,1),(6122,1),(6151,1),(6167,1),(6186,1),(6187,1),(6199,1),(6225,1),(6761,1),(6776,1),(6863,1),(6864,1),(6887,2),(6915,1),(6920,1),(6954,1),(6957,1),(6991,1),(6993,1),(7016,1),(7017,1),(7042,1),(7073,1),(7173,1),(7248,1),(7754,1),(7766,1),(7844,1),(7884,1),(7954,1),(7982,1),(7984,1),(8071,1),(8078,1),(8098,1),(8106,1),(8545,1),(8561,1),(8618,1),(9045,1),(9072,1),(9096,1)}
2484:{1,3,5,6}:{(2006,1),(2037,1),(2040,1),(2921,1),(2962,1),(5826,1),(5953,1),(5992,1),(6863,1),(6957,1)}
2485:{1,4,5,7}:{(2010,1),(2042,1),(2843,1),(2925,1),(2976,1),(3735,1),(3877,1),(4980,1)}
2486:{1,4,5}:{(2008,1),(2041,1),(2701,1),(2833,1),(2926,1),(2977,1),(3844,1)}
2487:{1,4,5,6}:{(2009,1),(2043,1),(2701,1),(2833,1),(2842,1),(2927,1),(2956,1),(2978,1),(3519,1),(3521,1),(3608,1),(3609,1),(3715,1),(3844,1),(3852,1),(4602,1),(4703,1),(4706,1),(4757,1),(4975,1),(5745,1),(5888,1),(6984,1),(7717,1),(7764,1)}
2488:{4}:{(2045,1),(2947,1)}
2489:{4,5,7}:{(2046,1),(2862,1),(2925,1),(2948,1),(3709,1)}
2490:{4,6}:{(2044,1),(2861,1),(2863,1),(2946,1)}
2491:{1,2,5}:{(2016,1),(2030,1),(2051,1),(2950,1),(2967,1)}
2492:{1,2,4,5}:{(2014,1),(2031,1),(2050,1),(2866,1),(2884,1),(2951,1),(2968,1),(3654,1),(3726,1),(3849,1),(4646,1),(4774,1),(4849,1),(4965,1),(5707,1),(5919,1),(5962,1),(6775,1),(6832,1),(7841,1),(8545,1),(9445,1)}
2493:{1,2,5}:{(2015,1),(2029,1),(2052,1)}
2494:{1,2,4,7}:{(2017,1),(2032,1),(2052,1),(2058,1),(2953,1),(2972,1),(4006,1),(6188,1),(7841,1)}
2495:{1,2,4,7}:{(2018,1),(2034,1),(2050,1),(2056,1),(2744,1),(2952,1),(2975,1),(3546,1),(3658,1),(3700,1),(3786,1),(3787,1),(3844,1),(3909,1),(4597,1),(5070,1),(5071,1),(6984,1),(7131,1),(7841,1),(8505,1),(8545,1)}
2496:{1,2,4,7}:{(2019,1),(2033,1),(2051,1),(2057,1),(2744,1),(2954,1),(2971,1),(2974,1),(3546,1),(3700,1),(3986,1),(4597,1),(4774,1),(7841,1),(8545,1)}
2497:{1,2,6}:{(2022,1),(2043,1),(2056,1),(2759,1),(3777,1),(3799,1),(4640,1),(6887,1)}
2498:{1,2,6}:{(2021,1),(2041,1),(2057,1),(2759,1),(2977,1),(5119,1)}
2499:{1,2,6,7}:{(2020,1),(2042,1),(2058,1),(2907,1),(2976,1),(3800,1),(3947,1),(4666,1)}
2500:{3,4,5,6,7}:{(2087,1),(2094,1),(2095,1),(2102,1),(2105,1),(2988,1),(2995,1),(3002,1),(3005,1),(3008,1),(3066,1),(3173,1),(3183,1),(3184,1),(3258,1),(3260,1),(4017,1),(4037,1),(4046,1),(4057,1),(4269,1),(4270,1),(4275,1),(4277,1),(4284,1),(4290,1),(4293,1),(4294,1),(4302,1),(4305,1),(4307,1),(4311,1),(4322,1),(4323,1),(5140,1),(5163,1),(5166,1),(5178,1),(5432,1),(5433,1),(5436,1),(5437,1),(5440,1),(5447,1),(5449,1),(5453,1),(5459,1),(5460,1),(5462,1),(5467,1),(5469,1),(5471,1),(5472,1),(5476,1),(5543,1),(5546,1),(5660,1),(5661,1),(6283,1),(6288,1),(6292,1),(6297,1),(6299,1),(6309,1),(6313,1),(6322,1),(6368,1),(6407,1),(6412,1),(6432,1),(6566,2),(6568,1),(6570,4),(6571,1),(6572,1),(6574,1),(6575,1),(6576,1),(6591,1),(6592,1),(6596,1),(6597,1),(6651,1),(7318,1),(7319,1),(7329,1),(7331,1),(7360,2),(7367,1),(7368,1),(7379,1),(7437,1),(7584,4),(7586,1),(7588,1),(7591,1),(7592,1),(7601,1),(7602,1),(7603,1),(7606,1),(8162,1),(8197,1),(8200,1),(8204,1),(8206,1),(8417,1),(8419,1),(8800,1)}
2501:{2,5}:{(2066,1),(2097,1),(2999,1),(3041,1),(3173,1),(5543,1)}
2502:{2,6,7}:{(2065,1),(2100,1),(2106,1),(3003,1),(3009,1),(3261,1),(3263,1),(7386,1)}
2503:{3,5,7}:{(2088,1),(2095,1),(2103,1),(2987,1),(3173,1),(4311,1),(7289,1)}
2504:{3,4,6}:{(2090,1),(2092,1),(2102,1),(2984,1),(2998,1),(3063,1),(3183,1),(3186,1),(3258,1),(3259,1),(4043,1),(4053,1),(4110,1),(4322,1),(4325,1),(5178,1),(5195,1),(6252,1),(6305,1),(6572,1),(7379,2),(7601,1),(7606,1),(8160,1),(8162,1),(8203,1),(8204,1)}
2505:{3,5,6,7}:{(2087,1),(2096,1),(2101,1),(2103,1),(2989,1),(3001,1),(3006,1),(3010,1),(3258,1),(3260,1),(4290,1),(4294,1),(5660,1),(5661,1),(7389,1),(7584,1)}
2506:{2,4,7}:{(2064,1),(2093,1),(2104,1),(2997,1),(3007,1),(3040,1),(3184,1),(3263,1),(4339,1),(6346,1),(6576,1),(7387,1)}
2507:{2,4,5,6}:{(2063,1),(2092,1),(2097,1),(2099,1),(2998,1),(2999,1),(3004,1),(3039,1),(3173,1),(3183,1),(3186,1),(3261,1),(3264,1),(4033,1),(4039,1),(4043,1),(4062,1),(4065,1),(4071,1),(4079,1),(4081,1),(4089,1),(4269,1),(4270,1),(4273,1),(4336,1),(4340,1),(4346,1),(4347,1),(5161,1),(5209,1),(5219,1),(5432,1),(5487,1),(5489,1),(5495,1),(5543,1),(6338,1),(6345,1),(6572,1),(6612,1),(7379,1),(7584,1),(8197,1),(8200,1),(8203,1),(8204,1),(8237,1),(8239,1),(8889,1),(8890,1)}
2508:{3,4}:{(2089,1),(2091,1),(2982,1),(2996,1),(3064,1),(3186,1),(3259,1),(4325,1)}
2509:{3}:{(2089,1),(2981,1)}
2510:{2,5,6}:{(2063,1),(2098,1),(2100,1),(3000,1),(3003,1),(3039,1),(3261,1),(3264,1),(5159,1),(5495,1)}
2511:{2,4,6,7}:{(2065,1),(2094,1),(2099,1),(2104,1),(2995,1),(3004,1),(3007,1),(3042,1),(3183,1),(3184,1),(3261,1),(3263,1),(4071,1),(4072,1),(4085,1),(4284,1),(4339,1),(4340,1),(4347,1),(4349,1),(5136,1),(5166,1),(5219,1),(5226,1),(5489,1),(5495,1),(6258,1),(6281,1),(6283,1),(6288,1),(6345,1),(6346,1),(6349,1),(6432,1),(6570,1),(6572,1),(6574,1),(6575,1),(6576,1),(6612,2),(6613,1),(6615,1),(6616,1),(7379,1),(7384,1),(7385,1),(7386,1),(7387,2),(7588,1),(7591,1),(7592,1),(8204,1),(8237,1),(8239,1),(8419,1)}
2512:{2,4,5}:{(2066,1),(2091,1),(2098,1),(2996,1),(3000,1),(3041,1),(3186,1),(3264,1),(4032,1),(4067,1),(4076,1)}
2513:{3,6}:{(2090,1),(2101,1),(2993,1),(3259,1)}
2514:{2,7}:{(2064,1),(2106,1),(3009,1)}
2515:{3,4,5,7}:{(2088,1),(2093,1),(2096,1),(2105,1),(2980,1),(2997,1),(3001,1),(3065,1),(3184,1),(3260,1),(4031,1),(4277,1),(4307,1),(4323,1),(5472,1),(5546,1),(6570,1),(6576,1),(7584,1)}
2516:{6}:{(2061,1),(3009,1)}
2517:{3,5,6}:{(2062,1),(2204,1),(2223,1),(3006,1),(3010,1),(3073,1),(4526,1),(4527,1),(4538,1),(5660,1),(5661,1)}
2518:{3,4,5,6}:{(2060,1),(2204,1),(2218,1),(2223,1),(3005,1),(3008,1),(3031,1),(3074,1),(3178,1),(3185,1),(3194,1),(3198,1),(3220,1),(4037,1),(4166,1),(4269,1),(4276,1),(4278,1),(4288,1),(4299,1),(4324,1),(4526,1),(4527,1),(4538,1),(4539,1),(5163,1),(5178,1),(5198,1),(5268,1),(5432,1),(5449,1),(5467,1),(5473,1),(5477,1),(5660,1),(5661,1),(6288,1),(6289,1),(6309,1),(6313,1),(6368,1),(6492,1),(6566,1),(6572,1),(6577,1),(7360,1),(7584,1),(7606,1),(8197,1),(8200,1)}
2519:{4,6}:{(2059,1),(2218,1),(3007,1),(3034,1)}
2520:{3,5,7}:{(2062,1),(2068,1),(2205,1),(3006,1),(3075,1)}
2521:{5,7}:{(2061,1),(2067,1),(3000,1),(3003,1),(3009,1)}
2522:{3,4,5,7}:{(2060,1),(2070,1),(2205,1),(2221,1),(3002,1),(3005,1),(3036,1),(3078,1),(3179,1),(3187,1),(3199,1),(3221,1),(4034,1),(4277,1),(4289,1),(4296,1),(4326,1),(5190,1),(5203,1),(5432,1),(5434,2),(5440,1),(5472,1),(5546,1),(6309,1),(6315,1),(6317,1),(6570,1),(6576,1),(6699,1),(6749,1),(7317,1),(7319,1),(7325,1),(7327,1),(7584,1),(8197,1)}
2523:{4,5,7}:{(2059,1),(2069,1),(2221,1),(2999,1),(3004,1),(3007,1),(3038,1),(4033,1),(4045,1),(5166,1)}
2524:{4}:{(2074,1),(3041,1)}
2525:{4,6}:{(2071,1),(2227,1),(3014,1),(3039,1)}
2526:{4,7}:{(2072,1),(2228,1),(3040,1)}
2527:{4,6,7}:{(2073,1),(2227,1),(2228,1),(3013,1),(3042,1),(3203,1),(3204,1)}
2528:{4,6}:{(2069,1),(2112,1),(2999,1)}
2529:{3,4,6,7}:{(2068,1),(2113,1),(2212,1),(2235,1),(2997,1),(3001,1),(3006,1),(3083,1),(4031,1),(4036,1),(4532,1),(4533,1),(5141,1),(5445,1),(5660,1),(5661,1)}
2530:{4,6}:{(2067,1),(2114,1),(2996,1),(3000,1),(3003,1)}
2531:{3,4,6,7}:{(2070,1),(2111,1),(2212,1),(2235,1),(2995,1),(3002,1),(3005,1),(3085,1),(3191,1),(4284,1),(4305,1),(4331,1),(4532,1),(4533,1),(5445,2),(5464,1),(5476,1),(5660,1),(5661,1),(6368,1),(6510,1),(6570,1),(7591,1)}
2532:{3,5}:{(2081,1),(2124,1),(3000,1),(3012,1),(4063,1),(6339,1)}
2533:{3,5}:{(2082,1),(2125,1),(2999,1),(3014,1)}
2534:{3,5,7}:{(2080,1),(2123,1),(2241,1),(3011,1),(3015,1),(3087,1),(4060,1),(5174,1),(5244,1),(6486,1)}
2535:{3,5,7}:{(2079,1),(2126,1),(2241,1),(3013,1),(3017,1),(3090,1)}
2536:{3,4,6}:{(2077,1),(2130,1),(2243,1),(3004,1),(3016,1),(3057,1),(3191,1),(3203,1),(4042,1),(4109,1),(5178,1)}
2537:{3,6}:{(2078,1),(2128,1),(3003,1),(7377,1)}
2538:{3,4,6}:{(2075,1),(2129,1),(2243,1),(3017,1),(3055,1),(3098,1),(3191,1),(3203,1),(4043,1),(4110,1),(5195,1)}
2539:{3,6}:{(2076,1),(2127,1),(3097,1)}
2540:{3,4,5,7}:{(2083,1),(2133,1),(2247,1),(2250,1),(3020,1),(3061,1),(3100,1),(3199,1),(3204,1),(3214,1),(3218,1),(4048,1),(4277,1),(4287,1),(4292,1),(4445,1),(5169,1),(5472,1),(5481,1),(5546,1),(6316,1),(6319,1),(6570,1),(6576,1),(6699,1),(7318,1),(7326,1),(7367,1),(7584,1)}
2541:{3,5,7}:{(2085,1),(2134,1),(2250,1),(3019,1),(3099,1)}
2542:{3,4,7}:{(2084,1),(2131,1),(2247,1),(3007,1),(3060,1),(3204,1),(3225,1),(5478,1),(6570,1),(7271,1)}
2543:{3,7}:{(2086,1),(2132,1),(3009,1)}
2544:{4}:{(2118,1)}
2545:{2,4}:{(2116,1),(2215,1),(5441,1),(5495,1),(7322,1)}
2546:{4}:{(2117,1)}
2547:{2,4}:{(2115,1),(2215,1),(3189,1),(5495,1)}
2548:{2,3,5}:{(2062,1),(2108,1),(2263,1),(3023,1),(3133,1),(4060,1),(4114,1),(4526,1),(4527,1),(5244,1),(5432,1),(5488,1),(6307,1),(6346,1),(7383,1),(8197,1)}
2549:{2,3,5}:{(2060,1),(2107,1),(2263,1),(3026,1),(3134,1),(3244,1),(4062,1),(4065,1),(4337,1),(4526,1),(4527,1),(5432,1),(5488,2),(5603,1),(6309,1),(6340,1),(6346,1),(7380,1),(7383,2),(7584,1),(8134,1),(8197,1),(8889,1)}
2550:{2,5}:{(2061,1),(2109,1),(3024,1),(3033,1)}
2551:{2,5}:{(2059,1),(2110,1),(3034,1)}
2552:{2,3,4,7}:{(2070,1),(2107,1),(2119,1),(2269,1),(3028,1),(3036,1),(3136,1),(3251,1),(3262,1),(3295,1),(4072,1),(4117,1),(4123,1),(4289,1),(4339,1),(4349,1),(4367,1),(4532,1),(4533,1),(5203,1),(5226,1),(5257,1),(5406,1),(5495,1),(5500,2),(5512,1),(5535,1),(5620,1),(6243,1),(6346,1),(6349,1),(6362,1),(6402,1),(6576,1),(7327,1),(7385,1),(7387,2),(7434,1),(8134,1),(8241,1)}
2553:{2,3,4,7}:{(2068,1),(2108,1),(2122,1),(2269,1),(3027,1),(3035,1),(3135,1),(3262,1),(3295,1),(4073,1),(4120,1),(4289,1),(4532,1),(4533,1),(5200,1),(5259,1),(5500,1),(6346,1),(6402,1),(7327,1),(7387,1)}
2554:{2,4,7}:{(2067,1),(2109,1),(2121,1),(3030,1),(3037,1),(3045,1),(5165,1),(5215,1),(6353,1)}
2555:{2,4,7}:{(2069,1),(2110,1),(2120,1),(3038,1),(3043,1),(5166,1)}
2556:{2,3,5,7}:{(2072,1),(2113,1),(2158,1),(2298,1),(2997,1),(3001,1),(3040,1),(3065,1),(3216,1),(4066,1),(4117,1),(4339,1),(5244,1),(6346,1),(6371,1),(7387,1)}
2557:{2,3,5}:{(2074,1),(2114,1),(2156,1),(2996,1),(3000,1),(3041,1),(3064,1),(4059,1),(4067,1),(4119,1)}
2558:{2,3,5,6}:{(2071,1),(2112,1),(2155,1),(2297,1),(2998,1),(2999,1),(3039,1),(3053,1),(3063,1),(3215,1),(4056,1),(4065,1),(4081,1),(4116,1),(4340,1),(4374,1),(5178,1),(5432,1)}
2559:{2,3,5,6,7}:{(2073,1),(2111,1),(2157,1),(2297,1),(2298,1),(2995,1),(3002,1),(3042,1),(3051,1),(3066,1),(3215,1),(3216,1),(3279,1),(3281,1),(4046,1),(4064,1),(4082,1),(4118,1),(4290,1),(4311,1),(4339,1),(4340,1),(4351,1),(4374,1),(4375,1),(4376,1),(5212,1),(5244,1),(5246,1),(5250,1),(5432,1),(5467,1),(5489,1),(5495,1),(5504,1),(5520,1),(5660,1),(5661,1),(6346,1),(6371,2),(6373,1),(6566,1),(6607,1),(6612,1),(6619,1),(6638,1),(7360,1),(7361,1),(7387,2),(7410,1),(7427,1),(7584,1),(8197,1),(8237,1),(8239,1)}
2560:{2,3,5,7}:{(2078,1),(2117,1),(2121,1),(2161,1),(3030,1),(3037,1),(3054,1),(3058,1),(3062,1),(4063,1),(4097,1)}
2561:{2,3,5,7}:{(2077,1),(2116,1),(2120,1),(2160,1),(3029,1),(3038,1),(3053,1),(3057,1),(3060,1),(3268,1),(4061,1),(4367,1),(5495,1),(5504,1)}
2562:{2,3,5,7}:{(2075,1),(2115,1),(2119,1),(2159,1),(3028,1),(3055,1),(3146,1),(3268,1),(4062,1),(4123,1),(4367,1),(5246,1),(5495,1),(5504,1)}
2563:{2,3,5,7}:{(2076,1),(2118,1),(2122,1),(2162,1),(3027,1),(3056,1),(3145,1),(4060,1),(4120,1),(5244,1),(6346,1)}
2564:{2,3,6}:{(2081,1),(2121,1),(2163,1),(3041,1),(3045,1),(3054,1),(4088,1),(4119,1),(5179,1),(8137,1)}
2565:{2,3,6,7}:{(2080,1),(2122,1),(2165,1),(2306,1),(3040,1),(3052,1),(3056,1),(3148,1),(3283,1),(4091,1),(4111,1),(4251,1),(5243,1),(5415,1),(6346,1),(7270,1),(9518,1)}
2566:{2,3,6,7}:{(2079,1),(2119,1),(2164,1),(2306,1),(3042,1),(3051,1),(3055,1),(3147,1),(3283,1),(4110,1)}
2567:{2,3,6}:{(2082,1),(2120,1),(2166,1),(3039,1),(3043,1),(3053,1),(5178,1)}
2568:{2,3,6}:{(2084,1),(2116,1),(2167,1),(3034,1),(3060,1),(3267,1),(3294,1),(5262,1),(5264,1),(5495,1),(6346,1),(6612,1)}
2569:{2,3,5,6}:{(2083,1),(2115,1),(2169,1),(2307,1),(3049,1),(3055,1),(3061,1),(3154,1),(3265,1),(3267,1),(3285,1),(4062,1),(4090,1),(4110,1),(4337,1),(4357,1),(4516,1),(4538,1),(4539,1),(5175,1),(5246,1),(5265,1),(5489,1),(5495,1),(5504,1),(5527,1),(5603,1),(6238,1),(6346,1),(6348,1),(6392,1),(6398,1),(6612,1),(6635,1),(6637,1),(6638,1),(6696,1),(7259,1),(7382,1),(7383,1),(7584,1),(7627,1),(8266,1)}
2570:{2,3,5,6}:{(2085,1),(2118,1),(2170,1),(2307,1),(3048,1),(3056,1),(3059,1),(3153,1),(3265,1),(3285,1),(4060,1),(4111,1),(4357,1),(4368,1),(4538,1),(4539,1),(5174,1),(5229,1),(5243,1),(5244,1),(5511,1),(6346,1)}
2571:{2,3,6}:{(2086,1),(2117,1),(2168,1),(3033,1),(3050,1),(3062,1),(3294,1)}
2572:{5,6}:{(2126,1),(2129,1)}
2573:{1,5,6}:{(2124,1),(2128,1),(2202,1),(3018,1),(3067,1),(4063,1),(5128,1)}
2574:{1,5,6}:{(2125,1),(2130,1),(2202,1),(3016,1),(3070,1),(5562,1),(6566,1),(6651,1)}
2575:{5,6}:{(2123,1),(2127,1),(4060,1),(5143,1)}
2576:{4,6,7}:{(2127,1),(2134,1),(2183,1),(3019,1),(3068,1),(3175,1),(5660,1)}
2577:{1,4,6,7}:{(2128,1),(2132,1),(2184,1),(2207,1),(3022,1),(3067,1),(3308,1),(4051,1)}
2578:{1,4,6,7}:{(2130,1),(2131,1),(2186,1),(2207,1),(3021,1),(3070,1),(3191,1),(3308,1),(4194,1),(5284,1),(5445,1),(5557,1),(6438,1)}
2579:{4,6,7}:{(2129,1),(2133,1),(2185,1),(3069,1),(3175,1),(3191,1),(4068,1),(5285,1),(5660,1),(6412,1)}
2580:{1,5}:{(2061,1),(2142,1),(3072,1),(3091,1)}
2581:{1,4,5}:{(2060,1),(2139,1),(2334,1),(3093,1),(3134,1),(3319,1),(3320,1),(4131,1),(4391,1),(4555,1),(4556,1),(5297,1),(5440,1),(5562,1),(6531,1),(6658,1),(6662,1),(6752,1),(7524,1),(8169,1)}
2582:{1,4,5}:{(2059,1),(2140,1),(2334,1),(3071,1),(3092,1),(3131,1),(4130,1)}
2583:{1,5}:{(2062,1),(2141,1)}
2584:{1,4,6,7}:{(2065,1),(2136,1),(2344,1),(2345,1),(2986,1),(3104,1),(3322,1),(3323,1),(4020,1),(7438,1),(8309,1)}
2585:{1,4,7}:{(2064,1),(2137,1),(2345,1),(2983,1),(3105,1),(4018,1)}
2586:{1,4,5,6}:{(2063,1),(2138,1),(2343,1),(2344,1),(2979,1),(3079,1),(3103,1),(3322,1),(3324,1),(4016,1),(5135,1),(5277,1),(5332,1),(5543,1),(6286,1),(6421,1),(7475,1)}
2587:{1,4,5}:{(2066,1),(2135,1),(2343,1),(2992,1),(3081,1),(3106,1),(4026,1)}
2588:{1,4,7}:{(2067,1),(2142,1),(2188,1),(3076,1),(3086,1),(3109,1)}
2589:{1,4,7}:{(2069,1),(2140,1),(2190,1),(3084,1),(3110,1),(4026,1),(4126,1),(4410,1)}
2590:{1,4,7}:{(2070,1),(2139,1),(2189,1),(5679,1),(6438,1),(6531,1),(6570,1),(6658,1),(8169,1)}
2591:{1,4,7}:{(2068,1),(2141,1),(2187,1),(3075,1),(5679,1)}
2592:{1,3,5,6}:{(2071,1),(2138,1),(2146,1),(2352,1),(3079,1),(3089,1),(3103,1),(4311,1),(6456,1),(7475,1)}
2593:{1,3,5,6,7}:{(2073,1),(2136,1),(2144,1),(2352,1),(2353,1),(3080,1),(3090,1),(3104,1),(3341,1),(3343,1),(4148,1),(4169,1),(5320,1),(6372,1),(6541,1),(7363,1),(7466,1),(8309,1)}
2594:{1,3,5,7}:{(2072,1),(2137,1),(2143,1),(2353,1),(3082,1),(3087,1),(3105,1),(4168,1),(5244,1),(6448,1)}
2595:{1,3,5}:{(2074,1),(2135,1),(2145,1),(3081,1),(3106,1)}
2596:{1,4,5,7}:{(2075,1),(2148,1),(2152,1),(2355,1),(3090,1),(3098,1),(3146,1),(3314,1),(4124,1),(4230,1),(4391,1),(4432,1),(5273,1),(5562,1),(6658,1)}
2597:{1,3,4,5,7}:{(2077,1),(2149,1),(2153,1),(2339,1),(2355,1),(3077,1),(3089,1),(3096,1),(3101,1),(3143,1),(3225,1),(3314,1),(3327,1),(3348,1),(4122,1),(4126,1),(4151,1),(4171,1),(4229,1),(4311,1),(4325,1),(4326,1),(4329,1),(4391,1),(4410,1),(4428,1),(4432,1),(4450,1),(5189,1),(5202,1),(5247,1),(5274,1),(5283,1),(5297,1),(5321,1),(5326,1),(5395,1),(5424,1),(5440,1),(5441,1),(5469,1),(5470,1),(5472,1),(5478,1),(5543,1),(5546,1),(5553,1),(5562,1),(5599,1),(6299,1),(6318,1),(6320,1),(6322,1),(6427,1),(6438,1),(6446,1),(6458,1),(6473,1),(6570,1),(6574,1),(6576,1),(6600,1),(6601,1),(6653,1),(6658,1),(6669,1),(6671,2),(6679,1),(7353,1),(7461,1),(7490,1),(7492,1),(7584,1),(7604,1),(7608,1),(7660,2),(8207,1),(8300,1),(8333,1),(8432,1),(8846,1)}
2598:{1,5,7}:{(2076,1),(2147,1),(2151,1),(3097,1)}
2599:{1,3,5,7}:{(2078,1),(2150,1),(2154,1),(2339,1),(3076,1),(3088,1),(3095,1),(3102,1),(3225,1),(3348,1),(4228,1),(4311,1),(4325,1),(5470,1),(5478,1),(6318,1),(7288,1),(7490,1),(7660,1)}
2600:{1,4,6,7}:{(2079,1),(2144,1),(2152,1),(2362,1),(3090,1),(3098,1),(3147,1),(4124,1)}
2601:{1,3,4,6}:{(2082,1),(2146,1),(2153,1),(2340,1),(3079,1),(3084,1),(3089,1),(3149,1),(3356,1),(4126,1),(4229,1),(4325,1),(5326,1),(5589,1),(6456,1),(6671,1),(6693,1)}
2602:{1,4,6,7}:{(2080,1),(2143,1),(2151,1),(2362,1),(3082,1),(3087,1),(3097,1),(3148,1),(4127,1),(4143,1),(4195,1),(5304,1)}
2603:{1,3,4,6}:{(2081,1),(2145,1),(2154,1),(2340,1),(3081,1),(3086,1),(3088,1),(3095,1),(3150,1),(3356,1),(4029,1),(4125,1),(4140,1),(4194,1),(4228,1),(4325,1),(5142,1),(5194,1),(5306,1),(5324,1),(5589,1),(6253,1),(6457,1),(6671,1),(6693,1),(7311,1),(7490,1),(8173,1)}
2604:{1,3,4,6}:{(2084,1),(2149,1),(2342,1),(2358,1),(3071,1),(3101,1),(3152,1),(3326,1),(3339,1),(3347,1),(3354,1),(4229,1),(4324,1),(4327,1),(4409,1),(5196,1),(5326,1),(5330,1),(6299,1),(7300,1),(7373,1),(7606,1),(7608,1)}
2605:{1,3,6}:{(2086,1),(2150,1),(2342,1),(3072,1),(3102,1),(3347,1),(4228,1)}
2606:{1,5,6}:{(2085,1),(2147,1),(2363,1),(3097,1),(3099,1),(3320,1),(4415,1)}
2607:{1,4,5,6}:{(2083,1),(2148,1),(2358,1),(2363,1),(3098,1),(3100,1),(3154,1),(3320,1),(3326,1),(3339,1),(3344,1),(4215,1),(4391,1),(4397,1),(4405,1),(4415,1),(5273,1),(5331,1),(5382,1),(5547,1),(5561,1),(5562,1),(6462,1),(6472,1),(6658,1),(6662,1),(6679,1),(7442,1),(7474,1),(7584,1),(7645,1)}
2608:{3,4}:{(2140,1),(2196,1),(3092,1)}
2609:{3,4}:{(2142,1),(2197,1),(3091,1),(3112,1)}
2610:{1,3,4,6}:{(2139,1),(2195,1),(2252,1),(2370,1),(3093,1),(3107,1),(3111,1),(3169,1),(3232,1),(3346,1),(4131,1),(4152,1),(4266,1),(4324,1),(4327,1),(4328,1),(4331,1),(4408,1),(5195,1),(5197,1),(5198,1),(5286,1),(5330,1),(5477,1),(5486,1),(6299,1),(6330,1),(7300,1),(7489,1),(7606,1),(8169,1),(8234,1)}
2611:{1,3,4,6}:{(2141,1),(2198,1),(2252,1),(2370,1),(3094,1),(3108,1),(3113,1),(3167,1),(3346,1),(4027,1),(4129,1),(4154,1),(4164,1),(4408,1),(5197,1),(5284,1),(6248,1),(7300,1),(8169,1),(8830,1),(9523,1)}
2612:{2,5,7}:{(2123,1),(2165,1),(2375,1),(3118,1),(3120,1),(4060,1),(5208,1),(6486,1),(7289,1)}
2613:{2,5,7}:{(2126,1),(2164,1),(2375,1),(3117,1),(3122,1),(4062,1)}
2614:{1,2,5}:{(2124,1),(2163,1),(2257,1),(3054,1),(3121,1),(5299,1),(5389,1)}
2615:{1,2,5}:{(2125,1),(2166,1),(2257,1),(3053,1),(3119,1),(5297,1),(5390,1)}
2616:{2,6}:{(2129,1),(2159,1)}
2617:{1,2,6}:{(2130,1),(2160,1),(2265,1),(3057,1),(6607,1),(7507,1)}
2618:{1,2,6}:{(2128,1),(2161,1),(2265,1),(3058,1),(4088,1),(5383,1)}
2619:{2,6}:{(2127,1),(2162,1)}
2620:{2,4,5,7}:{(2134,1),(2162,1),(2170,1),(2385,1),(3027,1),(3059,1),(3120,1),(3123,1),(3240,1),(3365,1),(4060,1),(4073,1),(4078,1),(4287,1),(4360,1),(4528,1),(4530,1),(5168,1),(5204,1),(5208,1),(5497,1),(6302,1),(6335,1),(6346,1),(7338,1),(7387,1)}
2621:{1,2,4,7}:{(2132,1),(2161,1),(2168,1),(2266,1),(3030,1),(3062,1),(3121,1),(3397,1),(4076,1),(4221,1),(5389,1)}
2622:{2,4,5,7}:{(2133,1),(2159,1),(2169,1),(2385,1),(3028,1),(3061,1),(3122,1),(3126,1),(3240,1),(3365,1),(4062,1),(4072,1),(4287,1),(4528,1),(4530,1),(5169,1),(5205,1),(5407,1),(5620,1),(6275,1),(6480,1),(6507,1),(6513,1),(6576,1),(6698,1),(6699,1),(7297,1),(7326,1),(7584,1)}
2623:{1,2,4,7}:{(2131,1),(2160,1),(2167,1),(2266,1),(3029,1),(3060,1),(3119,1),(3397,1),(5379,1),(5404,1),(5495,1),(5500,1),(6511,1),(6658,1)}
2624:{1,4,5,7}:{(2088,1),(2158,1),(2388,1),(2390,1),(2987,1),(2997,1),(3065,1),(3120,1),(4019,1),(4127,1),(4231,1),(4528,1),(4530,1),(5542,1),(5554,1),(5679,1),(5680,1),(6570,1),(7289,1),(8126,1),(8184,1)}
2625:{1,4,5,6,7}:{(2087,1),(2157,1),(2388,1),(2389,1),(2390,1),(2989,1),(2995,1),(3066,1),(3122,1),(3301,1),(3304,1),(3305,1),(3366,1),(3369,1),(4028,1),(4037,1),(4124,1),(4181,1),(4230,1),(4270,1),(4271,1),(4392,1),(4396,1),(4528,1),(4530,1),(5129,1),(5163,1),(5166,1),(5273,1),(5276,1),(5280,1),(5393,1),(5432,1),(5433,1),(5542,1),(5547,1),(5554,1),(5562,1),(5563,1),(5660,1),(5679,1),(5680,1),(6265,1),(6413,1),(6415,1),(6437,1),(6438,1),(6566,1),(6570,1),(6658,1),(6663,1),(6746,1),(7286,1),(7379,1),(7584,1),(7642,1),(7703,1),(8197,1),(8353,1)}
2626:{1,4,6}:{(2090,1),(2155,1),(2389,1),(2993,1),(2998,1),(3063,1),(3119,1),(7379,1),(8353,1)}
2627:{1,4}:{(2089,1),(2156,1),(2981,1),(2996,1),(3064,1)}
2628:{1,2,5}:{(2091,1),(2135,1),(2174,1),(2982,1),(5299,1),(5389,1)}
2629:{1,2,5,6}:{(2092,1),(2138,1),(2171,1),(2402,1),(2984,1),(3315,1),(3383,1),(4132,1),(4202,1),(5297,1),(5390,1),(5562,1),(5565,1),(5633,1),(5634,1),(6435,1),(6520,1),(6522,1),(7524,1),(7530,1),(8353,1)}
2630:{1,2,5,6,7}:{(2094,1),(2136,1),(2172,1),(2402,1),(2403,1),(2988,1),(2994,1),(3315,1),(3317,1),(3380,1),(3382,1),(4135,1),(4202,1),(4206,1),(4478,1),(5144,1),(5146,1),(5333,1),(5371,1),(5375,1),(5495,1),(5542,1),(5543,1),(5546,1),(5602,1),(5608,1),(5610,1),(5632,1),(5634,1),(5636,1),(6269,1),(6407,1),(6412,1),(6438,1),(6476,1),(6480,1),(6522,1),(6612,1),(6651,1),(6696,1),(6697,1),(6700,1),(6701,1),(6710,1),(6711,1),(6715,1),(6716,1),(6719,1),(7496,1),(7497,1),(7530,1),(7532,1),(7584,1),(7668,1),(7669,1),(8239,1),(8258,1),(8353,1),(8358,1),(8360,1)}
2631:{1,2,5,7}:{(2093,1),(2137,1),(2173,1),(2403,1),(2980,1),(2985,1),(3317,1),(5149,1),(5546,1),(5636,1),(6480,1)}
2632:{1,2,4,6}:{(2097,1),(2171,1),(2178,1),(2343,1),(2992,1),(3084,1),(3155,1),(3308,1),(4026,1),(5495,1)}
2633:{1,2,4,6}:{(2098,1),(2174,1),(2177,1),(2343,1),(2979,1),(2990,1),(3086,1),(3156,1),(4016,1),(5277,1),(5372,1),(6263,1)}
2634:{1,4,6,7}:{(2095,1),(2172,1),(2175,1),(2407,1),(2987,1),(3157,1),(3308,1),(3321,1),(4019,1),(4137,1),(5679,1),(6438,1)}
2635:{1,4,6,7}:{(2096,1),(2173,1),(2176,1),(2407,1),(2980,1),(2989,1),(3158,1),(3321,1),(5547,1),(5679,1),(6250,1),(6438,1),(7500,1),(7542,1)}
2636:{1,2,5,7}:{(2100,1),(2177,1),(2181,1),(2344,1),(2979,1),(2986,1),(3076,1),(3160,1),(3395,1),(7290,1),(7386,1)}
2637:{1,4,5,7}:{(2102,1),(2175,1),(2179,1),(2402,1),(2984,1),(3161,1),(3337,1),(3388,1),(4124,1),(4146,1),(4230,1),(4432,1),(5273,1),(5297,1),(5562,1),(5565,1),(5575,1),(6438,1),(6531,1),(6658,1),(6671,1),(7524,1),(7542,1),(7642,1),(7643,1),(7660,1),(8169,1)}
2638:{1,5,7}:{(2101,1),(2176,1),(2180,1),(2993,1)}
2639:{1,2,4,5,7}:{(2099,1),(2178,1),(2182,1),(2344,1),(2402,1),(2991,1),(2994,1),(3077,1),(3159,1),(3310,1),(3337,1),(3391,1),(3395,1),(4124,1),(4145,1),(4209,1),(4256,1),(4410,1),(4471,1),(4492,1),(5144,1),(5344,1),(5354,1),(5358,1),(5371,1),(5495,1),(5542,1),(5543,1),(5546,1),(5602,1),(5608,1),(5610,1),(5612,1),(6281,1),(6407,1),(6417,1),(6432,1),(6498,1),(6570,1),(6574,1),(6575,1),(6576,1),(6653,1),(6658,1),(6697,1),(7284,1),(7295,1),(7296,1),(7384,1),(7386,1),(7584,1),(7588,1),(7611,1),(7642,1),(7643,1),(7660,1),(7668,1),(8188,1),(8284,1),(8348,1),(8358,1),(8419,1)}
2640:{1,2,4,6}:{(2104,1),(2182,1),(2345,1),(2403,1),(2985,1),(3071,1),(3163,1),(3309,1),(3338,1),(3390,1),(3396,1),(4261,1),(4409,1),(4489,1),(5351,1),(5363,1),(6346,1),(6658,1),(7406,1),(7535,1)}
2641:{1,5,6}:{(2103,1),(2180,1),(2407,1),(2987,1),(3319,1),(5562,1),(7524,1)}
2642:{1,2,6}:{(2106,1),(2181,1),(2345,1),(2983,1),(3072,1),(3166,1)}
2643:{1,4,5,6}:{(2105,1),(2179,1),(2403,1),(2407,1),(2980,1),(3164,1),(3309,1),(3319,1),(3338,1),(3387,1),(4134,1),(4176,1),(4397,1),(4431,1),(5361,1),(5547,1),(5562,1),(6250,1),(6486,1),(6492,1),(6658,1),(7348,1),(7584,1)}
2644:{1,2,4,6}:{(2108,1),(2141,1),(2193,1),(2412,1),(3129,1),(3133,1),(3135,1),(3167,1),(3389,1),(4129,1),(4185,1),(4195,1),(4203,1),(4408,1),(5284,1),(6346,1)}
2645:{1,2,4}:{(2110,1),(2140,1),(2191,1),(3131,1),(3170,1)}
2646:{1,2,4,6}:{(2107,1),(2139,1),(2194,1),(2412,1),(3130,1),(3134,1),(3136,1),(3169,1),(3389,1),(3404,1),(4131,1),(4202,1),(4263,1),(4408,1),(4489,1),(4499,1),(5286,1),(5363,1),(5390,1),(5495,1),(5629,1),(5634,1),(5637,1),(6346,1),(6349,1),(6522,1),(6531,1),(6612,1),(6658,1),(7513,1),(7532,1),(7535,1),(8348,1)}
2647:{1,2,4}:{(2109,1),(2142,1),(2192,1),(3127,1),(3132,1),(3168,1)}
2648:{1,2,3,6}:{(2112,1),(2146,1),(2171,1),(2190,1),(3084,1),(3155,1),(3315,1),(4155,1),(4200,1),(4509,1)}
2649:{1,2,3,6}:{(2114,1),(2145,1),(2174,1),(2188,1),(3086,1),(3141,1),(3156,1),(5142,1),(5372,1)}
2650:{1,2,3,6,7}:{(2111,1),(2144,1),(2172,1),(2189,1),(2419,1),(3085,1),(3147,1),(3157,1),(3315,1),(3340,1),(3413,1),(4137,1),(4152,1),(4202,1),(4246,1),(4415,1),(4478,1),(4487,1),(4505,1),(4510,1),(5428,1),(5476,1),(5563,1),(5585,1),(5634,1),(5645,1),(5679,1),(6438,1),(6522,1),(6719,1),(7300,1),(7703,1),(8353,1)}
2651:{1,2,3,6,7}:{(2113,1),(2143,1),(2173,1),(2187,1),(2419,1),(3083,1),(3142,1),(3148,1),(3158,1),(3340,1),(4487,1),(4510,1),(5141,1),(5374,1),(5415,1),(5679,1),(6274,1),(6638,1)}
2652:{1,2,3,5}:{(2117,1),(2150,1),(2192,1),(2404,1),(3127,1),(3132,1),(3151,1),(3294,1),(3414,1),(4112,1),(4212,1)}
2653:{1,2,3,5}:{(2116,1),(2149,1),(2191,1),(2404,1),(3128,1),(3131,1),(3152,1),(3294,1),(3393,1),(3414,1),(4115,1),(4214,1),(4387,1),(4499,1),(5495,1),(5527,1),(8265,1)}
2654:{1,2,5}:{(2115,1),(2148,1),(2194,1),(3130,1),(4499,1),(5390,1),(5495,1)}
2655:{1,2,5}:{(2118,1),(2147,1),(2193,1),(3129,1)}
2656:{1,2,3,7}:{(2121,1),(2154,1),(2192,1),(2405,1),(3137,1),(3150,1),(3425,1),(5379,1),(5495,1),(6324,1),(6386,1),(6439,1),(6526,1),(6628,1)}
2657:{1,2,7}:{(2122,1),(2151,1),(2193,1)}
2658:{1,2,3,7}:{(2120,1),(2153,1),(2191,1),(2405,1),(3138,1),(3149,1),(3395,1),(3425,1),(4249,1),(5495,1),(6322,1),(6438,1)}
2659:{1,2,7}:{(2119,1),(2152,1),(2194,1)}
2660:{1,3,7}:{(2176,1),(2198,1),(2310,1)}
2661:{2,3,7}:{(2177,1),(2197,1),(2365,1),(3109,1),(3156,1),(6324,1)}
2662:{2,3,7}:{(2178,1),(2196,1),(2365,1),(3110,1),(3155,1),(3225,1),(4325,1),(5260,1),(6281,1)}
2663:{1,3,7}:{(2175,1),(2195,1),(2310,1),(3225,1),(4323,1),(7271,1)}
2664:{2,3,5}:{(2181,1),(2197,1),(2366,1),(3091,1),(3112,1),(3166,1),(3426,1),(4179,1),(4243,1)}
2665:{1,3,5}:{(2180,1),(2198,1),(2311,1),(3113,1)}
2666:{2,3,5}:{(2182,1),(2196,1),(2366,1),(3092,1),(3114,1),(3163,1),(3226,1),(3426,1),(4178,1),(4328,1),(4387,1)}
2667:{1,3,5}:{(2179,1),(2195,1),(2311,1),(3111,1),(3226,1),(4311,1),(4328,1),(7257,1)}
2668:{6,7}:{(2199,1),(2200,1)}
2669:{5}:{(2211,1)}
2670:{5,7}:{(2212,1),(2434,1),(2436,1),(3171,1),(4060,1),(5432,1)}
2671:{5,7}:{(2202,1),(2207,1),(3173,1),(4063,1)}
2672:{4,5,6}:{(2203,1),(2206,1),(2254,1),(3172,1),(3175,1),(3176,1),(3185,1),(3198,1),(4269,1),(4526,1),(5268,1),(5660,1)}
2673:{4,5,7}:{(2203,1),(2213,1),(2255,1),(3174,1),(3175,1),(3199,1),(5546,1)}
2674:{4,6}:{(2199,1),(2205,1),(3006,1),(3171,1),(3239,1),(5660,2)}
2675:{4,5,7}:{(2200,1),(2204,1),(2437,1),(2438,1),(3010,1),(3177,1),(3240,1),(3430,1),(3432,1),(4073,1),(4530,1),(5204,1)}
2676:{4,7}:{(2206,1),(2272,1)}
2677:{4,5}:{(2214,1),(2238,1),(3178,1),(3244,1)}
2678:{4,6}:{(2208,1),(2293,1),(3172,1),(5660,1)}
2679:{4,6}:{(2209,1),(2273,1),(3173,1)}
2680:{4,6}:{(2210,1),(2274,1),(3184,1)}
2681:{4,5,7}:{(2209,1),(2210,1),(2275,1),(3173,1),(3183,1),(3184,1),(3186,1),(3190,1),(4033,1),(4270,1),(4273,1),(4285,1),(4410,1),(5166,1),(5294,1),(5440,1),(5441,1),(5543,1),(5546,1),(6432,1),(6570,1),(6571,1),(6574,1),(6575,1),(6576,1),(7584,1)}
2682:{4,5}:{(2215,1),(2276,1),(3185,1)}
2683:{4}:{(2294,1)}
2684:{4,6,7}:{(2211,1),(2213,1),(2296,1),(3174,1),(3175,1),(3191,1),(4532,1),(5660,1)}
2685:{4,7}:{(2214,1),(2297,1),(2998,1),(5224,1),(7322,1)}
2686:{4,6}:{(2214,1),(2298,1),(2997,1),(3180,1),(3189,1),(4534,1),(4536,1),(6302,1),(7322,1)}
2687:{4,7}:{(2215,1),(2299,1),(3191,1)}
2688:{3,5}:{(2235,1),(2434,1),(2436,1),(3180,1),(3319,1),(4060,1),(4526,1),(5432,2),(6486,1),(7584,1),(8197,1)}
2689:{3,6}:{(2199,1),(2221,1),(3004,1),(3315,1)}
2690:{3,5,6,7}:{(2201,1),(2217,1),(2219,1),(2222,1),(3196,1),(3197,1),(3200,1),(3316,1),(4045,1),(4440,1),(5206,1),(5228,1),(5236,1),(5309,1),(6372,1),(9269,1)}
2691:{3,5,7}:{(2200,1),(2216,1),(2218,1),(3007,1),(3196,1),(3317,1),(4045,1),(4156,1)}
2692:{3,5,6}:{(2202,1),(2220,1),(2226,1),(3173,1),(3197,1),(3201,1),(3318,1),(4063,1),(4311,1),(5172,1),(5178,1),(5179,1),(5247,1),(5543,1),(6651,1),(8207,1)}
2693:{3,5}:{(2203,1),(2236,1),(3320,1),(4526,1)}
2694:{3,4,7}:{(2216,1),(2223,1),(2437,1),(2438,1),(3010,1),(3262,1),(3321,1),(3442,1),(3443,1),(4073,1),(4532,1),(5259,1)}
2695:{4,6}:{(2217,1),(2225,1),(3003,1),(3261,1)}
2696:{4,7}:{(2219,1),(2224,1),(3009,1),(3263,1)}
2697:{4,5}:{(2220,1),(2234,1),(2999,1),(3000,1),(3173,1),(3186,1),(3264,1),(4063,1),(5543,1)}
2698:{3,4,6}:{(2230,1),(2239,1),(2440,1),(2441,1),(3006,1),(3178,1),(3194,1),(3266,1),(3325,1),(4036,1),(4068,1),(4278,1),(4538,1),(5141,1),(5252,1),(5477,1),(5660,1),(5661,1),(6256,1),(6289,1)}
2699:{4,6}:{(2229,1),(2240,1),(3204,1),(3267,1)}
2700:{4,5,7}:{(2227,1),(2229,1),(2242,1),(3014,1),(3190,1),(3203,1),(3204,1),(3268,1),(4270,1),(5440,1),(6570,1)}
2701:{4,5}:{(2228,1),(2241,1),(3189,1),(3269,1)}
2702:{3,4,6,7}:{(2207,1),(2222,1),(2226,1),(2231,1),(3022,1),(3197,1),(3200,1),(3270,1),(3330,1),(4051,1),(4285,1),(4440,1),(5321,1),(5478,1),(5557,1)}
2703:{3,4,6}:{(2206,1),(2233,1),(2277,1),(3185,1),(3198,1),(3207,1),(3222,1),(3331,1),(4324,1),(4538,1),(5178,1)}
2704:{3,4,7}:{(2209,1),(2232,1),(2278,1),(3184,1),(3225,1),(3332,1),(4285,1),(4323,1),(5478,1)}
2705:{3,4,5}:{(2210,1),(2232,1),(2279,1),(3173,1),(3212,1),(3226,1),(3272,1),(3333,1),(4273,1),(4311,1),(4332,1),(5441,1),(5470,1)}
2706:{3,4,5,7}:{(2208,1),(2233,1),(2237,1),(2295,1),(3182,1),(3187,1),(3195,1),(3199,1),(3207,1),(3211,1),(3334,1),(3436,1),(3438,1),(4130,1),(4277,1),(4283,1),(4289,1),(4291,1),(4326,1),(4330,1),(4526,1),(4527,1),(4532,1),(4533,1),(5203,1),(5288,1),(5432,1),(5434,1),(5440,1),(5472,1),(5482,1),(5546,1),(6309,1),(6317,1),(6570,1),(6576,1),(7319,1),(7325,1),(7327,1),(7584,1),(8197,1)}
2707:{3,4,6}:{(2211,1),(2237,1),(2300,1),(3188,1),(3191,1),(3195,1),(3335,1),(4409,1)}
2708:{3,4,7}:{(2213,1),(2236,1),(2301,1),(3199,1),(3336,1),(4532,1)}
2709:{3,4,6}:{(2215,1),(2302,1),(3185,1),(3188,1),(3191,1),(3210,1),(3212,1),(3214,1),(3232,1),(3339,1),(4042,1),(4053,1),(4288,1),(4310,1),(4324,1),(4332,1),(4409,1),(5178,1),(5441,1),(5485,1),(5558,1),(6287,1),(6288,1),(6299,1),(6572,1),(6574,1),(6577,1),(7322,1),(7592,1),(7606,1),(7608,1),(8234,1),(8419,1),(8432,1)}
2710:{3,5,6}:{(2238,1),(2239,1),(2315,1),(3178,1),(3216,1)}
2711:{3,5,7}:{(2238,1),(2251,1),(2316,1),(2999,1),(3179,1),(3215,1),(4045,1),(4056,1),(5244,1),(5432,1),(6307,1)}
2712:{3,6,7}:{(2216,1),(2239,1),(2317,1),(3216,1),(3442,1),(3443,1),(4156,1)}
2713:{3,5,6}:{(2242,1),(2243,1),(2318,1),(3203,1),(4311,1)}
2714:{3,5,7}:{(2240,1),(2246,1),(2319,1),(3204,1),(5244,1)}
2715:{3,5,6}:{(2241,1),(2249,1),(2321,1),(3195,1),(3205,1),(3218,1),(3344,1),(4060,1),(5174,1),(5244,1),(6486,1),(7504,1),(7584,1)}
2716:{3,5,6,7}:{(2244,1),(2245,1),(2248,1),(2320,1),(3015,1),(3017,1),(3171,1),(3174,1),(3218,1),(3350,1),(3432,1),(4060,1),(4290,1),(4313,1),(4317,1),(4540,1),(5174,1),(5192,1),(5195,1),(5204,1),(5229,1),(5244,1),(5320,1),(5432,1),(5481,1),(5660,1),(6290,1),(6321,1),(6323,1),(6325,1),(6371,1),(6566,1),(6598,1),(7489,1),(7504,1),(7584,1),(8197,1),(8323,1)}
2717:{3,5}:{(2252,1),(2322,1),(4526,1),(5432,1),(6248,1)}
2718:{3,6,7}:{(2243,1),(2247,1),(2323,1),(5252,1),(5255,1)}
2719:{3,5}:{(2253,1),(2324,1),(3222,1)}
2720:{3,4,6,7}:{(2246,1),(2249,1),(2250,1),(2325,1),(3019,1),(3204,1),(3218,1),(3292,1),(3353,1),(4049,1),(4287,1),(4445,1),(5320,1),(5481,1),(6510,1)}
2721:{3}:{(2326,1)}
2722:{3,4,6}:{(2253,1),(2309,1),(2327,1),(3212,1),(3219,1),(3222,1),(3228,1),(3232,1),(3296,1),(3440,1),(4053,1),(4310,1),(4314,1),(4324,1),(4328,1),(4538,1),(5178,1),(5195,1),(5477,1),(5486,1),(6248,1),(6299,1),(7489,1),(7606,1),(8234,1),(9523,1)}
2723:{3,4,7}:{(2252,1),(2310,1),(2328,1),(3221,1),(3295,1),(3442,1),(3443,1),(4120,1),(4289,1),(4532,1),(5259,1),(6248,1),(7271,1)}
2724:{3,4}:{(2214,1),(2311,1),(3113,1),(3297,1)}
2725:{3,4,7}:{(2253,1),(2312,1),(2329,1),(3212,1),(3227,1),(3298,1),(3440,1),(4120,1),(4328,1),(5481,1),(7489,1)}
2726:{2,6}:{(2199,1),(2255,1),(3175,1),(5660,1)}
2727:{2,5,7}:{(2200,1),(2254,1),(2259,1),(3176,1),(3233,1)}
2728:{2,5,6,7}:{(2201,1),(2256,1),(2258,1),(2260,1),(3173,1),(3233,1),(3236,1),(3237,1),(4336,1),(5489,1),(7295,1),(7507,1),(7611,1)}
2729:{2,5,6}:{(2202,1),(2257,1),(2265,1),(3236,1),(3238,1),(6651,1),(7507,1)}
2730:{4,6}:{(2256,1),(2262,1),(3258,1)}
2731:{4}:{(2257,1),(3259,1)}
2732:{4,5,7}:{(2258,1),(2261,1),(2267,1),(3173,1),(3174,1),(3184,1),(3260,1),(4270,1),(5166,1),(5546,1),(6570,1),(7584,1)}
2733:{2,5,6}:{(2204,1),(2263,1),(2453,1),(2454,1),(3239,1),(3240,1),(4526,1),(5488,1),(5660,1),(6607,1)}
2734:{2,5,7}:{(2205,1),(2263,1),(2269,1),(3239,1)}
2735:{2,4,6}:{(2206,1),(2264,1),(2452,1),(2453,1),(3241,1),(5443,1),(8138,1),(9570,1)}
2736:{2,4,5}:{(2203,1),(2263,1),(2270,1),(3023,1),(3234,1),(3265,1),(3433,1),(3435,1),(4060,1),(4062,1),(4279,1),(4337,1),(4526,1),(5208,1),(5432,1),(5488,1),(5603,1),(5664,1),(6302,1),(6340,1),(6346,1),(6568,1),(7340,1),(7383,1),(7406,1),(7584,1),(8197,1)}
2737:{2,4,6,7}:{(2207,1),(2265,1),(2266,1),(3236,1),(3238,1),(3248,1),(3270,1),(4285,1),(5557,1),(6511,1),(7507,1)}
2738:{2,4,5,7}:{(2208,1),(2264,1),(2271,1),(2455,1),(2457,1),(3234,1),(3241,1),(3245,1),(3433,1),(3434,1),(4335,1),(4530,1),(7327,1),(8197,1)}
2739:{2,4,5}:{(2210,1),(2268,1),(2280,1),(3024,1),(3246,1),(3249,1),(3272,1),(4337,1),(5441,1),(5495,1),(6348,1),(6571,1),(7584,1)}
2740:{2,4,7}:{(2209,1),(2268,1),(2284,1),(3030,1),(3186,1),(3248,1),(4076,1),(4285,1),(4410,1),(5353,1),(5441,1),(5495,1),(6303,1),(7353,1)}
2741:{2,4,6}:{(2211,1),(2271,1),(2304,1),(3193,1),(3234,1)}
2742:{2,4,6,7}:{(2212,1),(2269,1),(2303,1),(2458,1),(2459,1),(3192,1),(3235,1),(3239,1),(3455,1),(4271,1),(4530,1),(5620,1),(6510,1),(6696,1)}
2743:{2,4,7}:{(2213,1),(2270,1),(2305,1),(3027,1),(3192,1),(4073,1),(4287,1),(4289,1),(4530,1),(4532,1),(5444,1),(5666,1),(6302,1),(6346,1),(6576,1),(7327,1),(7338,1),(7387,1)}
2744:{2,4}:{(2214,1),(2283,1),(3244,1),(3297,1),(5495,1),(6346,1)}
2745:{2,3,5,6}:{(2217,1),(2256,1),(2273,1),(2275,1),(3173,1),(3183,1),(3254,1),(3258,1),(3261,1),(3380,1),(4081,1),(4269,1),(4290,1),(4293,1),(4311,1),(4322,1),(4336,1),(4362,1),(4509,1),(5178,1),(5467,1),(5489,1),(5495,1),(5543,1),(6612,1),(6638,1),(6651,1),(7507,1),(7584,1),(7601,1)}
2746:{2,3,5,6}:{(2218,1),(2254,1),(2276,1),(2277,1),(3034,1),(3185,1),(3198,1),(3254,1),(3256,1),(3381,1),(4081,1),(4234,1),(4269,1),(4324,1),(5178,1),(5268,1),(5467,1),(6612,1)}
2747:{2,3,5,7}:{(2219,1),(2258,1),(2274,1),(2282,1),(3184,1),(3260,1),(3263,1),(3382,1),(4323,1),(4511,1),(5504,1),(5546,1)}
2748:{2,3,5}:{(2220,1),(2257,1),(2285,1),(3186,1),(3259,1),(3264,1),(3383,1),(4325,1)}
2749:{2,3,5,7}:{(2221,1),(2255,1),(2276,1),(2290,1),(3038,1),(3187,1),(3199,1),(3254,1),(3384,1),(4326,1),(5546,1)}
2750:{2,3,7}:{(2216,1),(2259,1),(2277,1),(3207,1),(3385,1)}
2751:{2,3,6,7}:{(2222,1),(2260,1),(2273,1),(2278,1),(3206,1),(3258,1),(3386,1),(4362,1),(5495,1),(6645,1),(7275,1)}
2752:{3,5,6}:{(2261,1),(2279,1),(2287,1),(3173,1),(3195,1),(3258,1),(3260,1),(3387,1),(4269,1),(4311,1),(5178,1),(7584,1)}
2753:{3,5,7}:{(2262,1),(2279,1),(2288,1),(3258,1),(3259,1),(3388,1)}
2754:{2,3,6}:{(2223,1),(2281,1),(2453,1),(2454,1),(3262,1),(3389,1),(4538,1)}
2755:{2,6}:{(2224,1),(2280,1),(3263,1)}
2756:{2,5,7}:{(2225,1),(2280,1),(2289,1),(3261,1),(3263,1),(3264,1),(5159,1),(5495,1),(6281,1),(6348,1),(7386,1)}
2757:{2,3,6}:{(2226,1),(2265,1),(2284,1),(3248,1),(3261,1),(3392,1),(4088,1),(5495,1),(6342,1),(7507,1)}
2758:{2,7}:{(2227,1),(2283,1),(3039,1),(5495,1)}
2759:{2,6}:{(2228,1),(2283,1),(3040,1),(3269,1),(6346,1)}
2760:{2,5}:{(2229,1),(2283,1),(3249,1),(3267,1),(5495,1),(6346,1)}
2761:{2,3,5,7}:{(2230,1),(2281,1),(2291,1),(2456,1),(2457,1),(3244,1),(3253,1),(3262,1),(3266,1),(3394,1),(4066,1),(4242,1),(4296,1),(4339,1),(5406,1),(6346,1),(6749,1),(7383,1),(7387,1)}
2762:{2,3,7}:{(2231,1),(2266,1),(2286,1),(3259,1),(3263,1),(3397,1)}
2763:{3,4,6,7}:{(2267,1),(2282,1),(2287,1),(2288,1),(3184,1),(3207,1),(3258,1),(3260,1),(3293,1),(3398,1),(4284,1),(4294,1),(4305,1),(4307,1),(4323,1),(5476,1),(6570,1)}
2764:{2,3,4,5}:{(2233,1),(2264,1),(2281,1),(2292,1),(3023,1),(3026,1),(3265,1),(3271,1),(3291,1),(3399,1),(3436,1),(3438,1),(4113,1),(4114,1),(4297,1),(4310,1),(4350,1),(4361,1),(4526,1),(4527,1),(5235,1),(5264,1),(5454,1),(5488,1),(5519,1),(6302,1),(6346,1),(6380,1),(6621,1),(7340,1),(7359,1),(7383,1),(7489,1),(8134,1),(8138,1),(8197,1),(8325,1),(8877,1),(8889,1),(9245,1),(9259,1),(9347,1),(9523,1),(9570,1)}
2765:{2,4,6}:{(2234,1),(2285,1),(2289,1),(3039,1),(3041,1),(3186,1),(3261,1),(3264,1),(4076,1),(4079,1),(4088,1),(5495,1)}
2766:{2,3,4,6}:{(2232,1),(2268,1),(2286,1),(3050,1),(3246,1),(3248,1),(3272,1),(3273,1),(3294,1),(3401,1),(4332,1),(4362,1),(4384,1),(4386,1),(4409,1),(5441,1),(5483,1),(5495,1)}
2767:{2,3,4,6}:{(2235,1),(2291,1),(2306,1),(2458,1),(2459,1),(3189,1),(3252,1),(3253,1),(3266,1),(3402,1),(3440,1),(3441,1),(3464,1),(3465,1),(4278,1),(4328,1),(4368,1),(4534,1),(4536,1),(4538,1),(4543,1),(5243,1),(5477,1),(5486,1),(5511,1),(5519,1),(5669,1),(6302,1),(6346,1),(7489,1)}
2768:{2,3,4,6}:{(2236,1),(2270,1),(2292,1),(2307,1),(3048,1),(3265,1),(3276,1),(3296,1),(3403,1),(3440,1),(3441,1),(4310,1),(4357,1),(4368,1),(4538,1),(5243,1),(5464,1),(5511,1),(5519,1),(5669,1),(6302,1),(6346,1),(7489,1)}
2769:{2,3,4,7}:{(2237,1),(2271,1),(2292,1),(2308,1),(3027,1),(3028,1),(3189,1),(3249,1),(3275,1),(3298,1),(3405,1),(3439,1),(3440,1),(4054,1),(4055,1),(4078,1),(4120,1),(4123,1),(4287,1),(4328,1),(4349,1),(4367,1),(4368,1),(4387,1),(4475,1),(5261,1),(5352,1),(5481,1),(5495,1),(5515,1),(5535,1),(5541,1),(5620,1),(6302,1),(6346,1),(6576,1),(6650,1),(7489,1),(9323,1)}
2770:{2,3,6,7}:{(2272,1),(2293,1),(2371,1),(2443,1),(2444,1),(3181,1),(3233,1),(3455,1),(4294,1),(5660,1)}
2771:{2,3,5}:{(2238,1),(2314,1),(2372,1),(3182,1),(3195,1),(3219,1),(3244,1),(4337,1),(4526,1),(4527,1),(5244,1),(5432,1),(5488,1),(6307,1),(6309,1),(6346,1),(7380,1),(7383,1),(7584,1),(8197,1)}
2772:{2,3,5,6}:{(2240,1),(2294,1),(2300,1),(2376,1),(3188,1),(3195,1),(3267,1),(3281,1),(3286,1),(4290,1),(4311,1),(4337,1),(4366,1),(4371,1),(5244,1),(5246,1),(5467,1),(5489,1),(5495,1),(5504,1),(5527,1),(6346,1),(6612,1),(6638,1),(7584,1)}
2773:{2,3,5}:{(2241,1),(2306,1),(2375,1),(3189,1),(3269,1),(3285,1),(3408,1),(4328,1),(4368,1)}
2774:{2,3,5,7}:{(2242,1),(2294,1),(2313,1),(2377,1),(3053,1),(3190,1),(3268,1),(3279,1),(3287,1),(4311,1),(4367,1),(5246,1),(5495,1),(5504,1)}
2775:{2,3,6}:{(2239,1),(2295,1),(2378,1),(3211,1),(3222,1),(4314,1),(4324,1),(4538,1),(5178,1),(5252,1),(5477,1),(5489,1),(5660,1),(5661,1),(6607,1),(6612,1),(7606,1),(8239,1)}
2776:{3,5}:{(2309,1),(2379,1),(3212,1),(4328,1)}
2777:{2,3,6}:{(2243,1),(2299,1),(2380,1),(3191,1)}
2778:{2,3,5,7}:{(2244,1),(2303,1),(2373,1),(2462,1),(2463,1),(3192,1),(3235,1),(3283,1),(3419,1),(4296,1),(4389,1)}
2779:{2,3,5,6}:{(2245,1),(2304,1),(2374,1),(2461,1),(2462,1),(3193,1),(3234,1),(3284,1),(3420,1),(3453,1),(4295,1),(4371,1),(4390,1),(4538,1)}
2780:{2,3,6,7}:{(2246,1),(2300,1),(2301,1),(2381,1),(3213,1),(3281,1),(3293,1),(4323,1),(4511,1),(5476,1),(5481,1),(5489,1),(5535,1),(6638,1)}
2781:{2,3,5,7}:{(2247,1),(2301,1),(2302,1),(2382,1),(3060,1),(3199,1),(3214,1),(3225,1),(3287,1),(3290,1),(4123,1),(4292,1),(4311,1),(4315,1),(4323,1),(4326,1),(4367,1),(4511,1),(5246,1),(5257,1),(5258,1),(5471,1),(5472,1),(5478,1),(5481,1),(5495,1),(5504,1),(5512,1),(5535,1),(5546,1),(6316,1),(6317,1),(6319,1),(6320,1),(6322,1),(6362,1),(6388,1),(6645,1),(7271,1),(7275,1),(7367,1),(7389,1),(7435,1),(8846,1)}
2782:{2,3,6,7}:{(2248,1),(2304,1),(2305,1),(2383,1),(3055,1),(3056,1),(3239,1),(3250,1),(3418,1),(3455,1),(4091,1),(4357,1),(4374,1),(5212,1),(5243,1),(5251,1),(5489,1),(5660,1),(6346,1),(6607,1),(6638,1),(6696,1),(7387,1),(7427,1),(7434,1)}
2783:{2,3,6}:{(2249,1),(2308,1),(2384,1),(3267,1),(3284,1),(3421,1),(4091,1),(4110,1),(4111,1),(4538,1),(5489,1),(6346,1),(6398,1),(6696,1),(7627,1),(9518,1)}
2784:{2,3,7}:{(2250,1),(2307,1),(2385,1),(3283,1),(3422,1)}
2785:{3,6}:{(2312,1),(2386,1)}
2786:{3,7}:{(2309,1),(2387,1)}
2787:{3,6,7}:{(2310,1),(2388,1),(2465,1),(2466,1),(3065,1),(3283,1),(3442,1),(3443,1),(4111,1),(4323,1),(5259,1),(7271,1)}
2788:{3,5,7}:{(2310,1),(2311,1),(2389,1),(3063,1),(3230,1),(4056,1),(6248,1),(7257,1),(7271,1)}
2789:{3,5,6}:{(2311,1),(2390,1),(2465,1),(2466,1),(3065,1),(3231,1),(3285,1),(3445,1),(3447,1),(4111,1),(4311,1),(4328,1),(4538,1),(5174,1),(5192,1),(5244,1),(5477,1),(7257,1),(7489,1)}
2790:{2,3,4,6,7}:{(2251,1),(2290,1),(2313,1),(2314,1),(2391,1),(3043,1),(3190,1),(3191,1),(3213,1),(3228,1),(3251,1),(3254,1),(3278,1),(3282,1),(3295,1),(4053,1),(4085,1),(4116,1),(4282,1),(4283,1),(4284,1),(4289,1),(4305,1),(4314,1),(4331,1),(4339,1),(4340,1),(4347,1),(4349,1),(4367,1),(4374,1),(4388,1),(4532,1),(4533,1),(5166,1),(5178,1),(5224,1),(5444,1),(5445,1),(5462,1),(5464,1),(5476,1),(5489,1),(5495,1),(5496,1),(5499,1),(5500,1),(5510,1),(5512,1),(5518,1),(5529,1),(5535,1),(5660,1),(5661,1),(6248,1),(6326,1),(6328,1),(6346,1),(6349,1),(6350,1),(6362,1),(6368,1),(6390,1),(6402,1),(6404,1),(6570,1),(6576,1),(6607,1),(6612,1),(6615,1),(6638,1),(7271,1),(7322,1),(7327,1),(7385,1),(7387,2),(7424,1),(7427,1),(7591,1),(8134,1),(8237,1),(8239,1),(8241,1),(8807,1),(9245,1),(9523,1)}
2791:{2,3,6}:{(2252,1),(2392,1),(2467,1),(2468,1),(3289,1),(3295,1),(3297,1),(5264,1),(6248,1),(6346,1),(8134,1)}
2792:{2,3}:{(2253,1),(2393,1)}
2793:{1,5,6}:{(2199,1),(2316,1),(3171,1),(3215,1),(3304,1),(3315,1),(5432,1),(5660,1),(6566,1)}
2794:{1,5,7}:{(2200,1),(2315,1),(2317,1),(3216,1),(3430,1),(3432,1),(4045,1)}
2795:{1,5,6,7}:{(2201,1),(2318,1),(2319,1),(2323,1),(3069,1),(3070,1),(3217,1),(4045,1),(5332,1),(5334,1),(5542,1)}
2796:{5,7}:{(2321,1),(2325,1),(4060,1)}
2797:{1,4,5}:{(2203,1),(2327,1),(2372,1),(3182,1),(3219,1),(3320,1),(3433,1),(3435,1),(4033,1),(4270,1),(4391,1),(4526,1),(4555,1),(4556,1),(5297,1),(5432,1),(5440,1),(5562,1),(5664,1),(6338,1),(6568,1),(6658,1),(6662,1),(6752,1),(7524,1),(7584,1),(8197,1)}
2798:{1,4,5,6}:{(2204,1),(2315,1),(2322,1),(2470,1),(2472,1),(3073,1),(3178,1),(3220,1),(3304,1),(3305,1),(3370,1),(4037,1),(4164,1),(4185,1),(4288,1),(4526,1),(5129,1),(5269,1),(5334,1),(5432,1),(5660,1),(6265,1),(6289,1),(6413,1),(6566,1),(8197,1)}
2799:{1,4,5,7}:{(2205,1),(2316,1),(2322,1),(2328,1),(3075,1),(3179,1),(3221,1),(3304,1),(3371,1),(4289,1),(5432,1),(5434,1),(5544,1)}
2800:{1,4,6}:{(2206,1),(2324,1),(2394,1),(3222,1),(3306,1)}
2801:{1,4,5,7}:{(2208,1),(2324,1),(2329,1),(2413,1),(3182,1),(3224,1),(3300,1),(3306,1),(3307,1),(3433,1),(3434,1),(3436,1),(3437,1),(4035,1),(4129,1),(4277,1),(4283,1),(4289,1),(4402,1),(4423,1),(4525,1),(4526,1),(4530,1),(4531,1),(4532,1),(4534,1),(4555,1),(5269,1),(5291,1),(5292,1),(5432,1),(5434,1),(5440,1),(5444,1),(5554,1),(5556,1),(5573,1),(5579,1),(5664,1),(5666,1),(5679,1),(5682,1),(6420,1),(6568,1),(6570,1),(6576,1),(6657,1),(6658,1),(6661,1),(6662,1),(6752,1),(6756,1),(7319,2),(7322,1),(7325,1),(7327,3),(7584,1),(7587,1),(7642,1),(7643,1),(8128,1),(8169,1),(8176,1),(8197,3),(8307,1),(8419,1),(8797,1),(8932,1),(9570,1)}
2802:{1,4,7}:{(2209,1),(2326,1),(2395,1),(3225,1),(3308,1)}
2803:{1,4,5}:{(2210,1),(2326,1),(2396,1),(3226,1),(3309,1),(3312,1),(5361,1),(6563,1),(6658,1)}
2804:{1,4,6}:{(2211,1),(2329,1),(2415,1),(3188,1),(3193,1),(3227,1),(3300,1),(4040,1),(5556,1),(6658,1)}
2805:{1,4,6,7}:{(2212,1),(2328,1),(2416,1),(2476,1),(2478,1),(2995,1),(2997,1),(3192,1),(3229,1),(3301,1),(3304,1),(4019,1),(4036,1),(4040,1),(4124,1),(4127,1),(4195,1),(4271,1),(4406,1),(4434,1),(4530,1),(4532,1),(5132,1),(5164,1),(5276,1),(5278,1),(5284,1),(5291,1),(5292,1),(5293,1),(5304,1),(5445,1),(5446,1),(5547,1),(5554,2),(5563,1),(5660,1),(5666,1),(5679,1),(6265,1),(6289,1),(6413,1),(6429,1),(6510,1),(6570,1),(6658,1),(6659,1),(6676,1),(6746,1),(6756,1),(7322,1),(7354,1),(7642,1),(7703,1),(8126,1),(8169,1),(8218,1)}
2806:{1,4,7}:{(2213,1),(2327,1),(2417,1),(3190,1),(3192,1),(3228,1),(4283,1),(4289,1),(4530,1),(4532,1),(5166,1),(5444,1),(5666,1),(5679,1),(6350,1),(6438,1),(6570,1),(6576,1),(6658,1),(7322,1),(7327,1),(8169,1)}
2807:{1,4}:{(2215,1),(2418,1),(3232,1)}
2808:{1,7}:{(2216,1),(2331,1)}
2809:{1,5,6}:{(2217,1),(2330,1),(2333,1),(3315,1),(3322,1),(5135,1),(5383,1),(5543,1),(6651,1)}
2810:{1,5,6}:{(2218,1),(2331,1),(2334,1),(3071,1),(3315,1),(3317,1),(5268,1)}
2811:{1,5,7}:{(2219,1),(2332,1),(2338,1),(3323,1),(5318,1),(5546,1)}
2812:{1,5}:{(2220,1),(2340,1)}
2813:{1,5,7}:{(2221,1),(2334,1),(2347,1),(3315,1),(5297,1),(5546,1),(6438,1)}
2814:{1,6,7}:{(2222,1),(2330,1),(2335,1),(5383,1)}
2815:{1,4,6}:{(2223,1),(2331,1),(2337,1),(3073,1),(3321,1),(3346,1),(3389,1)}
2816:{1,4,6}:{(2224,1),(2332,1),(2336,1),(3072,1),(3323,1),(3347,1),(3390,1),(4167,1),(4409,1)}
2817:{1,4,5,7}:{(2225,1),(2333,1),(2336,1),(2346,1),(3076,1),(3322,1),(3323,1),(3324,1),(3348,1),(3391,1),(4174,1),(4410,1),(5543,1),(5546,1),(6653,1),(7660,1)}
2818:{1,4,6}:{(2226,1),(2330,1),(2339,1),(3095,1),(3318,1),(3392,1),(4482,1),(5383,1)}
2819:{1,4,5}:{(2229,1),(2341,1),(2350,1),(3312,1),(3326,1),(3351,1),(3393,1),(6563,1)}
2820:{1,4,5,7}:{(2230,1),(2337,1),(2348,1),(2351,1),(3075,1),(3319,1),(3321,1),(3325,1),(3329,1),(3394,1),(4402,1),(4414,1),(4418,1),(4555,1),(5544,1),(5554,1),(5679,1)}
2821:{1,4,7}:{(2227,1),(2341,1),(2352,1),(3079,1),(3357,1),(3395,1)}
2822:{1,4,6}:{(2228,1),(2341,1),(2353,1),(3082,1),(3328,1),(3358,1),(3396,1)}
2823:{1,4,7}:{(2231,1),(2335,1),(2342,1),(3102,1),(3397,1)}
2824:{1,4,6}:{(2232,1),(2326,1),(2397,1),(3332,1),(3333,1),(3354,1),(4425,1),(6658,1)}
2825:{1,4,5}:{(2233,1),(2349,1),(2398,1),(3320,1),(3331,1),(3355,1),(4555,1),(5297,1)}
2826:{1,4,6}:{(2234,1),(2346,1),(2414,1),(3081,1),(3324,1),(3356,1),(4016,1),(4026,1),(4125,1),(4126,1),(5136,1),(5441,1),(5558,1),(6286,1),(6671,1)}
2827:{1,4,6}:{(2235,1),(2348,1),(2419,1),(3319,1)}
2828:{1,4,6}:{(2236,1),(2349,1),(2420,1),(3320,1),(3336,1),(4415,1)}
2829:{1,4}:{(2214,1),(2421,1),(3114,1),(7322,1)}
2830:{1,4,7}:{(2237,1),(2349,1),(2422,1),(3312,1),(3335,1),(5352,1),(5556,1),(6576,1),(6658,1)}
2831:{1,3,6}:{(2239,1),(2331,1),(2351,1),(3315,1),(3325,1),(5141,1),(5252,1),(5477,1)}
2832:{1,3,5,6}:{(2240,1),(2332,1),(2350,1),(2356,1),(3326,1),(3343,1),(3344,1),(3347,1),(4446,1),(5244,1),(6448,1)}
2833:{1,5}:{(2241,1),(2362,1)}
2834:{1,3,5,7}:{(2242,1),(2333,1),(2350,1),(2367,1),(3089,1),(3090,1),(3327,1),(3341,1),(3348,1),(4169,1),(4311,1),(4391,1),(4413,1),(5247,1),(5469,1),(5472,1),(5543,1),(5546,1),(5562,1),(6372,1),(6591,1),(6679,1),(7466,1),(7584,1),(7660,1)}
2835:{1,3,5}:{(2238,1),(2334,1),(2369,1),(3092,1),(3319,1),(3329,1),(4178,1),(5244,1),(6307,1)}
2836:{1,3,6}:{(2243,1),(2330,1),(2355,1),(3098,1),(3315,1),(4415,1),(5195,1)}
2837:{3,5}:{(2336,1),(2368,1),(3347,1)}
2838:{1,3,5}:{(2337,1),(2370,1),(2446,1),(2448,1),(3346,1),(4114,1),(4555,1),(5297,1)}
2839:{1,3,6,7}:{(2246,1),(2338,1),(2356,1),(2357,1),(3343,1),(3353,1),(5320,1),(5481,1)}
2840:{1,3,5,7}:{(2247,1),(2335,1),(2357,1),(2358,1),(3100,1),(3101,1),(3317,1),(3349,1),(5472,1),(5481,1),(5546,1),(6316,1),(6319,1),(6438,1)}
2841:{1,4,6,7}:{(2248,1),(2354,1),(2360,1),(2361,1),(3097,1),(3098,1),(3203,1),(3204,1),(3304,1),(3418,1),(4137,1),(4195,1),(4280,1),(4415,1),(4506,1),(5132,1),(5304,1),(5382,1),(5436,1),(5547,1),(5563,1),(5660,1),(5679,1),(6289,1),(6413,1),(6429,1),(6570,1),(7703,1)}
2842:{1,4,5,7}:{(2244,1),(2359,1),(2486,1),(2487,1),(3011,1),(3013,1),(3087,1),(3090,1),(3192,1),(3419,1),(4124,1),(4127,1),(4281,1),(4414,1),(5554,1),(8126,1),(8184,1)}
2843:{1,4,5,6}:{(2245,1),(2360,1),(2485,1),(2486,1),(3193,1),(3205,1),(3300,1),(3344,1),(3420,1),(4405,1)}
2844:{1,4,6}:{(2249,1),(2356,1),(2364,1),(3097,1),(3344,1),(3421,1),(4415,1)}
2845:{1,4,7}:{(2250,1),(2357,1),(2363,1),(3099,1),(3422,1),(5679,1)}
2846:{3,6}:{(2343,1),(2365,1),(3106,1),(4325,1)}
2847:{3,5,7}:{(2344,1),(2365,1),(2366,1),(3103,1),(3104,1),(3357,1),(6324,1)}
2848:{3,6}:{(2345,1),(2366,1),(3105,1)}
2849:{3,4,7}:{(2346,1),(2365,1),(2368,1),(3225,1),(3348,1),(3356,1),(3425,1),(4325,1),(4410,1),(5478,1),(6322,1),(6324,1)}
2850:{3,4}:{(2341,1),(2366,1),(3112,1),(3426,1)}
2851:{1,3,4,6,7}:{(2251,1),(2347,1),(2369,1),(2429,1),(3084,1),(3085,1),(3107,1),(3110,1),(3315,1),(3337,1),(3340,1),(3345,1),(4017,1),(4023,1),(4139,1),(4152,1),(4155,1),(4156,1),(4331,1),(4418,1),(4419,1),(5286,1),(5428,1),(5476,1),(6322,1),(6326,1),(6429,1),(6438,1),(6463,1),(6570,1),(8301,1),(8337,1),(8831,1),(8852,1),(8954,1)}
2852:{1,3,4,7}:{(2348,1),(2370,1),(2430,1),(2449,1),(2451,1),(3111,1),(3113,1),(3360,1),(3428,1),(4019,1),(4120,1),(4328,1),(4430,1),(4432,1),(4434,1),(5325,1),(5327,1),(5679,1),(6689,1),(6756,1),(7489,1),(8169,1)}
2853:{1,3,4}:{(2253,1),(2349,1),(2431,1),(3232,1),(3355,1),(3429,1)}
2854:{1,2,5,6}:{(2254,1),(2315,1),(2372,1),(2378,1),(3172,1),(3277,1),(3302,1),(3363,1),(3451,1),(3453,1),(4081,1),(4269,1),(4412,1),(4526,1),(5268,1),(5334,1),(5432,1),(5487,1),(5629,1),(5660,1),(6566,1),(6612,1),(7584,1),(8197,1),(8200,1)}
2855:{1,2,5,7}:{(2255,1),(2316,1),(2372,1),(2391,1),(3174,1),(3235,1),(3278,1),(3303,1),(3362,1),(4391,1),(4413,1),(5154,1),(5297,1),(5432,1),(5542,1),(5544,1),(5546,1),(5562,1),(5673,1),(6408,1),(6409,1),(6438,1),(6474,1),(6608,1),(6662,1),(6663,1),(7524,1),(7584,1),(8197,1),(9278,1)}
2856:{1,2,5,6}:{(2256,1),(2318,1),(2377,1),(2380,1),(3117,1),(3279,1),(3366,1),(4081,1),(5562,1),(5634,1)}
2857:{2,5,6,7}:{(2320,1),(2373,1),(2374,1),(2383,1),(3117,1),(3118,1),(3365,1),(3367,1),(6269,1),(6696,1),(7289,1),(7504,1)}
2858:{2,5,6}:{(2321,1),(2375,1),(2384,1),(3234,1),(3365,1),(3368,1),(4060,1),(4062,1),(5208,1),(5603,1),(6486,1),(6696,1),(7504,1),(7584,1),(8146,1)}
2859:{1,2,5,7}:{(2258,1),(2319,1),(2376,1),(2381,1),(3174,1),(3281,1),(3365,1),(3369,1),(4413,1),(5495,1),(5542,1),(5546,1),(5636,1),(7584,1)}
2860:{1,2,4,6,7}:{(2259,1),(2317,1),(2371,1),(2378,1),(3181,1),(3233,1),(3282,1),(3306,1),(3363,1),(3385,1),(3454,1),(3455,1),(3475,1),(3477,1),(4085,1),(4204,1),(4283,1),(4284,1),(4339,1),(4396,1),(4401,1),(4429,1),(4463,1),(4478,1),(4487,1),(4530,1),(4532,1),(5166,1),(5288,1),(5336,1),(5445,1),(5496,1),(5554,1),(5614,1),(5660,1),(5679,1),(6412,1),(6438,1),(6700,1),(6719,1),(7387,1),(7591,1),(7642,1)}
2861:{4,7}:{(2373,1),(2488,1),(2490,1),(3283,1)}
2862:{4,6}:{(2374,1),(2488,1),(2489,1),(3284,1)}
2863:{4,5}:{(2375,1),(2488,1),(2490,1),(3189,1),(3285,1)}
2864:{1,4,5,6}:{(2261,1),(2376,1),(2379,1),(2386,1),(3188,1),(3286,1),(3300,1),(3309,1),(3366,1),(3368,1),(3369,1),(3387,1),(4270,1),(4397,1),(4405,1),(4431,1),(4507,1),(5273,1),(5547,1),(5562,1),(6658,1),(7584,1)}
2865:{1,4,5,7}:{(2262,1),(2377,1),(2379,1),(2387,1),(3119,1),(3122,1),(3190,1),(3287,1),(3366,1),(3388,1),(4033,1),(4124,1),(4230,1),(4270,1),(4432,1),(5166,1),(5273,1),(5297,1),(5562,1),(6438,1),(6658,1)}
2866:{1,2,5}:{(2263,1),(2322,1),(2392,1),(3244,1),(3289,1),(4065,1),(4526,1),(5432,1),(5488,1),(6346,1),(7383,1)}
2867:{1,2,4,6,7}:{(2260,1),(2323,1),(2380,1),(2382,1),(3126,1),(3175,1),(3191,1),(3233,1),(3290,1),(3308,1),(3364,1),(3366,1),(3386,1),(4069,1),(4085,1),(4193,1),(4247,1),(4284,1),(4286,1),(4347,1),(4359,1),(4396,1),(4398,1),(4399,1),(4415,1),(4433,1),(4463,1),(4464,1),(4467,1),(4478,1),(4483,1),(5166,1),(5282,1),(5381,1),(5445,1),(5489,1),(5495,1),(5496,1),(5547,1),(5557,1),(5634,1),(5660,1),(6410,1),(6412,1),(6422,1),(6438,1),(6607,1),(6612,1),(6658,1),(6700,1),(6719,1),(7379,1),(7437,1),(7481,1),(7507,1),(7591,1),(7642,1),(8239,1),(8240,1),(8312,1),(8353,1)}
2868:{1,2,4,5}:{(2264,1),(2324,1),(2393,1),(2491,1),(2493,1),(3291,1),(3372,1),(3436,1),(3437,1),(4525,1),(4526,1),(9292,1),(9570,1)}
2869:{2,4,6,7}:{(2325,1),(2383,1),(2384,1),(2385,1),(3292,1),(3365,1),(3367,1),(3455,1),(4287,1),(4530,1),(5407,1),(5620,1),(6269,1),(6507,1),(6510,1),(6696,1)}
2870:{1,4,6,7}:{(2267,1),(2386,1),(2387,1),(2399,1),(3293,1),(3306,1),(3308,1),(3366,1),(3367,1),(3369,1),(4506,1),(4530,1),(5166,1),(5547,1),(5679,1),(6438,1)}
2871:{1,2,4}:{(2268,1),(2326,1),(2404,1),(3127,1),(3294,1)}
2872:{1,2,4,7}:{(2269,1),(2328,1),(2392,1),(2423,1),(3251,1),(3295,1),(3371,1),(3475,1),(4257,1),(4289,1),(4339,1),(4532,1),(5404,1),(5500,1),(6346,1),(7387,1)}
2873:{1,2,4,6}:{(2270,1),(2327,1),(2393,1),(2424,1),(3129,1),(3130,1),(3249,1),(3296,1),(3373,1),(3379,1),(3482,1),(4079,1),(4185,1),(4195,1),(4342,1),(4347,1),(4405,1),(4499,1),(5219,1),(5363,1),(5390,1),(5495,1),(5629,1),(5634,1),(6346,1),(6349,1),(6522,1),(6612,1),(6658,1),(7459,1),(7532,1),(8348,1)}
2874:{1,2,4,7}:{(2271,1),(2329,1),(2393,1),(2425,1),(3249,1),(3298,1),(3377,1),(3482,1),(4078,1),(4349,1),(4499,1),(5391,1),(5495,1),(5636,1),(6346,1)}
2875:{1,2,5,7}:{(2272,1),(2371,1),(2394,1),(2480,1),(2481,1),(3306,1),(3385,1),(3475,1),(4416,1),(5679,1)}
2876:{1,2,6}:{(2273,1),(2330,1),(2395,1),(3308,1),(5495,1)}
2877:{1,2,5,6}:{(2274,1),(2332,1),(2396,1),(2400,1),(3309,1),(3382,1),(3387,1),(3390,1),(5419,1)}
2878:{1,2,5,7}:{(2275,1),(2333,1),(2396,1),(2409,1),(3310,1),(3380,1),(3383,1),(3388,1),(4197,1),(4391,1),(4411,1),(4413,1),(4457,1),(5144,1),(5297,1),(5495,1),(5542,1),(5543,1),(5546,1),(5562,1),(5565,1),(5602,1),(6438,1),(6679,1),(7584,1),(7660,1)}
2879:{1,2,5}:{(2276,1),(2334,1),(2411,1),(3311,1),(3320,1),(4391,1),(5297,1)}
2880:{1,2,6}:{(2277,1),(2331,1),(2398,1),(3331,1),(3385,1)}
2881:{1,2,5,7}:{(2278,1),(2335,1),(2397,1),(2401,1),(3332,1),(3386,1),(3388,1),(3397,1),(4411,1),(6438,1)}
2882:{1,5}:{(2279,1),(2406,1)}
2883:{1,2,5}:{(2280,1),(2336,1),(2410,1),(3390,1),(3414,1),(4243,1)}
2884:{1,2,5}:{(2281,1),(2337,1),(2412,1),(3389,1),(4555,1)}
2885:{1,2,6,7}:{(2282,1),(2338,1),(2400,1),(2401,1),(3382,1),(3385,1),(3398,1),(5634,1),(5636,1),(6269,1),(6438,1)}
2886:{1,2,5,7}:{(2284,1),(2339,1),(2404,1),(2405,1),(3376,1),(3383,1),(3392,1),(3397,1),(4208,1),(4457,1),(5379,1),(5389,1),(5495,1),(6518,1),(6526,1)}
2887:{1,2,6}:{(2285,1),(2340,1),(2405,1),(3383,1),(5389,1),(5390,1)}
2888:{1,2}:{(2283,1),(2341,1),(3426,1)}
2889:{1,2,6}:{(2286,1),(2342,1),(2404,1),(3397,1),(5389,1)}
2890:{1,4,6}:{(2287,1),(2400,1),(2408,1),(3387,1),(3423,1),(4415,1),(6250,1)}
2891:{1,4,7}:{(2288,1),(2401,1),(2406,1),(3388,1),(3424,1),(6438,1)}
2892:{1,2,4,7}:{(2289,1),(2346,1),(2405,1),(2410,1),(3391,1),(3395,1),(3400,1),(3425,1),(4256,1),(4410,1),(5379,1),(5495,1),(6281,1),(6511,1),(7386,1)}
2893:{1,2,4,7}:{(2290,1),(2347,1),(2411,1),(2426,1),(3314,1),(3336,1),(3384,1),(3385,1),(4204,1),(4401,1),(5495,1),(6349,1),(6438,1)}
2894:{1,2,4,7}:{(2291,1),(2348,1),(2412,1),(2427,1),(3394,1),(3402,1),(3404,1),(3428,1),(4434,1),(5391,1),(5554,1),(5679,1),(6346,1),(6720,1),(6756,1),(7535,1)}
2895:{1,2,4}:{(2292,1),(2349,1),(2428,1),(3129,1),(3429,1),(4430,1),(4499,1),(5390,1)}
2896:{1,2,3,5,6}:{(2293,1),(2394,1),(2413,1),(2482,1),(2484,1),(3172,1),(3222,1),(3277,1),(3307,1),(3362,1),(3411,1),(3452,1),(3453,1),(3458,1),(3478,1),(3480,1),(4083,1),(4203,1),(4290,1),(4312,1),(4314,1),(4374,1),(4383,1),(4412,1),(4415,1),(4438,1),(4459,1),(4479,1),(4526,1),(4538,1),(4550,1),(5252,1),(5334,1),(5432,1),(5467,1),(5477,1),(5489,1),(5520,1),(5563,1),(5564,1),(5582,1),(5622,1),(5629,1),(5645,1),(5660,3),(5661,1),(5684,1),(5685,1),(6434,1),(6455,1),(6523,1),(6566,1),(6598,1),(6607,1),(6612,1),(6638,1),(6662,1),(6677,1),(6695,1),(6710,1),(6715,1),(6752,1),(7360,2),(7424,1),(7427,3),(7584,1),(7600,1),(7606,1),(7618,1),(7647,1),(7683,1),(7703,4),(8154,1),(8197,3),(8200,1),(8239,2),(8311,1),(8353,1),(8391,1),(8932,1),(8970,1)}
2897:{1,2,3,5}:{(2294,1),(2350,1),(2396,1),(2432,1),(3226,1),(3312,1),(3393,1),(3408,1),(3412,1),(3414,1),(4311,1),(4328,1),(4387,1),(4499,1),(4518,1),(5495,1),(5527,1),(5655,1),(6563,1)}
2898:{1,2,3,5,7}:{(2295,1),(2351,1),(2398,1),(2433,1),(3334,1),(3355,1),(3384,1),(3385,1),(3394,1),(3410,1),(3411,1),(3415,1),(4326,1),(4439,1),(4448,1),(4510,1),(4555,1),(5150,1),(5297,1),(5472,1),(5544,1),(5546,1),(5610,1),(5630,1),(5679,1),(6317,1),(6438,1),(6478,1),(7691,1)}
2899:{1,2,3,5,6,7}:{(2296,1),(2354,1),(2399,1),(2415,1),(2417,1),(3174,1),(3279,1),(3281,1),(3288,1),(3293,1),(3313,1),(3362,1),(3413,1),(3416,1),(3418,1),(4225,1),(4290,1),(4311,1),(4313,1),(4314,1),(4370,1),(4374,1),(4388,1),(4391,1),(4413,1),(4415,1),(4460,1),(4478,1),(4504,1),(4505,1),(4506,1),(4508,1),(5195,1),(5246,1),(5370,1),(5399,1),(5401,1),(5432,1),(5467,1),(5476,1),(5481,1),(5489,1),(5495,1),(5520,1),(5542,1),(5562,1),(5563,1),(5566,1),(5582,1),(5585,1),(5622,1),(5634,1),(5636,1),(5640,1),(5645,1),(5658,1),(5660,1),(5679,1),(6323,1),(6373,1),(6409,1),(6438,1),(6447,1),(6521,1),(6598,1),(6612,1),(6638,2),(6662,1),(6663,1),(6715,1),(6719,1),(7360,1),(7427,1),(7469,1),(7489,1),(7522,1),(7532,1),(7584,2),(7703,1),(8197,1),(8239,1),(8323,1),(8353,1),(8360,1)}
2900:{1,2,3,5,7}:{(2299,1),(2355,1),(2395,1),(2418,1),(2426,1),(3146,1),(3225,1),(3314,1),(3384,1),(3413,1),(4123,1),(4311,1),(4326,1),(4391,1),(5246,1),(5495,1)}
2901:{1,2,3,6}:{(2300,1),(2356,1),(2400,1),(2422,1),(3335,1),(3421,1),(3423,1),(4415,1),(4505,1),(5415,1),(5634,1),(6638,1)}
2902:{1,2,3,7}:{(2301,1),(2357,1),(2401,1),(2420,1),(3336,1),(3385,1),(3422,1),(3424,1),(4448,1),(5679,1),(6438,1)}
2903:{1,2,3,5,7}:{(2297,1),(2352,1),(2402,1),(2421,1),(2429,1),(3140,1),(3159,1),(3161,1),(3337,1),(3345,1),(3395,1),(4258,1),(4311,1),(4492,1),(5157,1),(5246,1),(5371,1),(5495,1),(6322,1),(6438,1),(6737,1),(7410,1),(7470,1),(7545,1),(7660,1),(8188,1),(8358,1),(8852,1)}
2904:{1,2,3,5,6}:{(2298,1),(2353,1),(2403,1),(2419,1),(2421,1),(3142,1),(3163,1),(3164,1),(3319,1),(3338,1),(3342,1),(3396,1),(3408,1),(4134,1),(4178,1),(4227,1),(4262,1),(4328,1),(4479,1),(4489,1),(4493,1),(4513,1),(4518,1),(5141,1),(5192,1),(5244,1),(5374,1),(5415,1),(5416,1),(5477,1),(5527,1),(6346,1),(6375,1),(6448,1),(6486,1),(6521,1),(6638,1),(7489,1),(7535,1),(7584,1)}
2905:{1,2,3,5,6}:{(2302,1),(2358,1),(2397,1),(2418,1),(2420,1),(3152,1),(3154,1),(3320,1),(3339,1),(3354,1),(3381,1),(3412,1),(3413,1),(3417,1),(4214,1),(4229,1),(4265,1),(4311,1),(4324,1),(4391,1),(4415,1),(4438,1),(4451,1),(4499,1),(4505,1),(4514,1),(4520,1),(5246,1),(5297,1),(5381,1),(5390,1),(5467,1),(5495,1),(5527,1),(5561,1),(5562,1),(5583,1),(5587,1),(5629,1),(5634,1),(5645,1),(5649,1),(5651,1),(6447,1),(6457,1),(6522,1),(6612,1),(6638,1),(6662,1),(6679,1),(6710,1),(6716,1),(6727,1),(7300,1),(7308,1),(7474,1),(7524,1),(7532,1),(7545,1),(7584,1),(7606,1),(8353,1)}
2906:{1,2,6,7}:{(2303,1),(2359,1),(2423,1),(2497,1),(2498,1),(3040,1),(3042,1),(3419,1),(4091,1),(4339,1),(4490,1),(5212,1),(5563,1),(5679,1),(6346,1),(7387,1)}
2907:{1,2,6}:{(2304,1),(2360,1),(2425,1),(3267,1),(4091,1),(5489,1),(6346,1)}
2908:{1,2,5,7}:{(2305,1),(2361,1),(2423,1),(2424,1),(3268,1),(3379,1),(3418,1),(3422,1),(3475,1),(4339,1),(4490,1),(5213,1),(5391,1),(5404,1),(5490,1),(5495,1),(5636,1),(5679,1),(6346,1),(6521,1),(6720,1),(7383,1),(7387,2)}
2909:{1,2,6}:{(2306,1),(2362,1),(2427,1),(3408,1),(3484,1),(3486,1)}
2910:{1,2,6}:{(2307,1),(2363,1),(2428,1),(3422,1),(3484,1),(3486,1)}
2911:{1,2,5,7}:{(2308,1),(2364,1),(2427,1),(2428,1),(3393,1),(3405,1),(3408,1),(3421,1),(3422,1),(3485,1),(3486,1),(4230,1),(4231,1),(4477,1),(4490,1),(4555,1),(5391,1),(5679,1),(6346,1),(6521,1),(6563,1),(7535,1),(7577,1),(7691,1)}
2912:{1,3,6}:{(2309,1),(2406,1),(2431,1),(3412,1),(3424,1),(3484,1),(3486,1),(4229,1)}
2913:{1,3,6}:{(2407,1),(2430,1),(2465,1),(2466,1),(3484,1),(3486,1),(5563,1),(7703,1)}
2914:{1,3,5,7}:{(2312,1),(2408,1),(2431,1),(3225,1),(3226,1),(3355,1),(3361,1),(3412,1),(3423,1),(3424,1),(3485,1),(3486,1),(4231,1),(4311,1),(4323,1),(4326,1),(4437,1),(4448,1),(4555,1),(5472,1),(5679,1),(6247,1),(6563,1),(7577,1),(7691,1)}
2915:{1,2,3,6,7}:{(2313,1),(2367,1),(2409,1),(2426,1),(2432,1),(3147,1),(3149,1),(3225,1),(3395,1),(3409,1),(3413,1),(3424,1),(3425,1),(4229,1),(4250,1),(4322,1),(4323,1),(4325,1),(4386,1),(4447,1),(4488,1),(4490,1),(4505,1),(4509,1),(4511,1),(4521,1),(5476,1),(5478,1),(5495,1),(5531,1),(5533,1),(5535,1),(5589,1),(5634,1),(5649,1),(6322,1),(6438,1),(6638,1),(6737,1),(7313,1),(7386,1),(7574,1),(7577,1)}
2916:{2,3}:{(2368,1),(2410,1)}
2917:{1,2,3,4,6}:{(2314,1),(2369,1),(2411,1),(2432,1),(2433,1),(3169,1),(3170,1),(3232,1),(3312,1),(3335,1),(3359,1),(3402,1),(3404,1),(3410,1),(3411,1),(4131,1),(4234,1),(4260,1),(4324,1),(4327,1),(4328,1),(4331,1),(4387,1),(4404,1),(4408,1),(4409,1),(4470,1),(4489,1),(4499,1),(4523,1),(5198,1),(5267,1),(5286,1),(5350,1),(5477,1),(5486,1),(5495,1),(5536,1),(5556,1),(5629,1),(5634,1),(5637,1),(5655,1),(6346,1),(6349,1),(6562,1),(6612,1),(6648,1),(6658,1),(6722,1),(6740,1),(6744,1),(7489,1),(7532,1),(7535,1),(7606,1),(8234,1)}
2918:{1,2,3}:{(2370,1),(2412,1),(2467,1),(2468,1),(5264,1),(5390,1)}
2919:{5,6}:{(2436,1),(2441,1),(3432,1)}
2920:{5,6}:{(2434,1),(2440,1),(3430,1),(4526,1),(5432,1),(5660,1)}
2921:{3,5,6}:{(2435,1),(2442,1),(3172,1),(3466,1),(5660,1),(6566,1),(6598,1),(8197,1)}
2922:{3,4,6,7}:{(2439,1),(2442,1),(2444,1),(3181,1),(3431,1),(3456,1),(3470,1),(4294,1),(4529,1),(5436,1),(5660,1),(8209,1)}
2923:{4,6,7}:{(2437,1),(2441,1),(2443,1),(3432,1),(3455,1),(4530,1)}
2924:{4,6,7}:{(2438,1),(2440,1),(2445,1),(3430,1),(4532,1),(5288,1),(5660,1),(6412,1)}
2925:{4,7}:{(2461,1),(3193,1)}
2926:{4}:{(2462,1)}
2927:{4,6}:{(2463,1),(3189,1),(3192,1),(3435,1),(4536,1),(6302,1)}
2928:{3,6}:{(2446,1),(2472,1),(3443,1)}
2929:{3,6}:{(2448,1),(2470,1),(3442,1)}
2930:{1,3,5,6}:{(2447,1),(2471,1),(3222,1),(3444,1),(3450,1),(4312,1),(6434,1),(6662,1),(6752,1),(7473,1),(7647,1),(7703,1),(8197,1),(8932,1),(9276,1)}
2931:{1,3,4,5,7}:{(2447,1),(2450,1),(2474,1),(3224,1),(3437,1),(3444,1),(3450,1),(3460,1),(4423,1),(4439,1),(4525,1),(4531,1),(4555,1),(5296,1),(5330,1),(5426,1),(5448,1),(5573,1),(5579,1),(5591,1),(5679,1),(5682,1),(6315,1),(6450,1),(6467,1),(6471,1),(6662,1),(6670,1),(6689,1),(6752,1),(6756,1),(7327,1),(7473,1),(7489,1),(7659,1),(8176,1),(8197,1),(8285,1),(8307,1),(8323,1),(8325,1),(8839,1),(8932,1),(9276,1),(9523,1),(9570,1)}
2932:{3,4,5,7}:{(2446,1),(2451,1),(2473,1),(3221,1),(3223,1),(3436,1),(3443,1),(3445,1),(3449,1),(3462,1),(4289,1),(4318,1),(4526,1),(4532,1),(4534,1),(4540,1),(5432,1),(5434,1),(5664,1),(5666,1),(6315,1),(6749,1),(7327,1),(8197,1)}
2933:{3,4,5,7}:{(2448,1),(2449,1),(2475,1),(3221,1),(3223,1),(3438,1),(3442,1),(3447,1),(3448,1),(3461,1),(4289,1),(4296,1),(4297,1),(4318,1),(4326,1),(4330,1),(4527,1),(4533,1),(4536,1),(4542,1),(5188,1),(5190,1),(5200,1),(5203,1),(5432,1),(5434,1),(5440,1),(5455,1),(5466,1),(5472,1),(5482,1),(5486,1),(5665,1),(5667,1),(6248,1),(6299,1),(6301,1),(6307,1),(6309,1),(6315,1),(6317,1),(6570,1),(6576,1),(6580,1),(6594,1),(6604,1),(6605,1),(6749,1),(7257,1),(7271,1),(7317,1),(7319,1),(7322,1),(7325,1),(7327,2),(7328,1),(7331,1),(7333,1),(7335,1),(7359,1),(7489,1),(7584,1),(7602,1),(8121,1),(8197,2),(8234,1),(8323,1),(8325,1),(8419,1),(8793,1),(9245,1),(9523,1)}
2934:{3,4,6}:{(2449,1),(2466,1),(2476,1),(3447,1),(3465,1),(4328,1),(4536,1),(5192,1),(5195,1),(5477,1),(5486,1),(6299,1),(6301,1),(7489,2)}
2935:{3,4,6}:{(2451,1),(2465,1),(2478,1),(3440,1),(3445,1),(3464,1),(4328,1),(4534,1),(4538,1),(5477,1),(5486,1),(7489,1)}
2936:{1,3,4,6,7}:{(2450,1),(2464,1),(2477,1),(3227,1),(3439,1),(3446,1),(3450,1),(3463,1),(4307,1),(4321,1),(4431,1),(4435,1),(4537,1),(5180,1),(5304,1),(5428,1),(5459,1),(5481,1),(5573,1),(5577,1),(5593,1),(5678,1),(5679,1),(6440,1),(6570,1),(6598,1),(6666,1),(6668,1),(6689,1),(6756,1),(7489,1),(7662,1),(7703,1),(8323,1)}
2937:{2,5}:{(2436,1),(2458,1),(3433,1)}
2938:{2,5}:{(2434,1),(2459,1),(3435,1),(4060,1),(5432,1),(6486,1),(7584,1)}
2939:{2,3,5,7}:{(2435,1),(2460,1),(3234,1),(3434,1),(3452,1),(3472,1),(4295,1),(4335,1),(4371,1),(5451,1),(5503,1),(5673,1),(6749,1),(8197,1)}
2940:{2,4,7}:{(2438,1),(2454,1),(3240,1),(3262,1),(4073,1),(4339,1),(4530,1),(4532,1),(7387,1)}
2941:{2,3,5,7}:{(2439,1),(2452,1),(3241,1),(3456,1),(3476,1),(4335,1),(4377,1),(5490,1),(5512,1),(7387,1)}
2942:{2,7}:{(2437,1),(2453,1)}
2943:{2,3,6}:{(2442,1),(2455,1),(3245,1),(3480,1),(4538,1),(5489,1),(5660,1),(6607,1)}
2944:{2,4,6}:{(2440,1),(2456,1),(3239,1),(3266,1),(3451,1),(4068,1),(4271,1),(4278,1),(5660,1),(6256,1),(6607,1),(6696,1),(6746,1)}
2945:{2,6}:{(2441,1),(2457,1)}
2946:{3,6}:{(2490,1),(3283,1),(3285,1),(3484,1)}
2947:{3}:{(2488,1),(3486,1)}
2948:{3,5,7}:{(2489,1),(3284,1),(3439,1),(3485,1),(4295,1)}
2949:{1,2,3,5}:{(2447,1),(2469,1),(2493,1),(3291,1),(3437,1),(4371,1),(6380,1),(6521,1),(7489,1),(9278,1),(9523,1)}
2950:{2,3,5}:{(2446,1),(2467,1),(2491,1),(3436,1),(3458,1),(4526,1)}
2951:{2,3,5}:{(2448,1),(2468,1),(2492,1),(3438,1),(3457,1),(4114,1),(4527,1),(5264,1),(6248,1),(7257,1),(8134,1),(9523,1)}
2952:{2,3,7}:{(2449,1),(2468,1),(2495,1),(3297,1),(3465,1),(4120,1),(4328,1),(4368,1),(4387,1),(5495,1),(7489,1),(8134,1)}
2953:{1,2,3,7}:{(2450,1),(2469,1),(2494,1),(3298,1),(4377,1),(4499,1),(4564,1),(5391,1),(6402,1),(8134,1),(8854,1)}
2954:{2,3,7}:{(2451,1),(2467,1),(2496,1),(3297,1),(3464,1),(5264,1),(6346,1),(8134,1)}
2955:{1,4,5}:{(2436,1),(2478,1),(3180,1),(3319,1),(3433,1),(3445,1),(3473,1),(4526,1),(4534,1),(4555,1),(5432,1),(5664,1),(6752,1),(8197,1)}
2956:{1,4,5}:{(2434,1),(2476,1),(3180,1),(3319,1),(3435,1),(3447,1),(3474,1),(4270,1),(4391,1),(4536,1),(4556,1),(5432,1),(5440,1),(5562,1),(6486,1),(6658,1),(7348,1),(7553,1),(7584,1)}
2957:{1,4,5,7}:{(2435,1),(2477,1),(3300,1),(3434,1),(3466,1),(3472,1),(4277,1),(4413,1),(4525,1),(5168,1),(5365,1),(6568,1),(6662,1),(7584,1),(8197,1)}
2958:{1,4,7}:{(2437,1),(2472,1),(2480,1),(3443,1),(3475,1),(4532,1)}
2959:{1,4,5,7}:{(2439,1),(2471,1),(2481,1),(3306,1),(3444,1),(3470,1),(3476,1),(4416,1),(4531,1),(5573,1),(5679,1)}
2960:{1,4,7}:{(2438,1),(2470,1),(2479,1),(3442,1),(4530,1),(5166,1),(5679,1),(6438,1)}
2961:{1,4,6}:{(2440,1),(2475,1),(2483,1),(3178,1),(3448,1),(4036,1),(4271,1),(4278,1),(4282,1),(4288,1),(5446,1),(5563,1),(6256,1),(6288,1),(6289,2),(6746,1),(7322,1),(7344,1),(7703,1),(8169,1),(8214,1),(8218,1),(9245,1)}
2962:{1,4,6}:{(2442,1),(2474,1),(2484,1),(3480,1),(4415,1),(5660,1),(6289,1),(7703,1)}
2963:{1,4,6}:{(2441,1),(2473,1),(2482,1),(3178,1),(3449,1),(3478,1),(4036,1),(5660,1),(6289,1),(7703,1)}
2964:{1,3,5,6,7}:{(2443,1),(2480,1),(2482,1),(3216,1),(3299,1),(3340,1),(3432,1),(3443,1),(3471,1),(4046,1),(4137,1),(4158,1),(4316,1),(4414,1),(4540,1),(5660,1),(5679,1),(6371,1)}
2965:{1,3,5,6,7}:{(2444,1),(2481,1),(2484,1),(3431,1),(3444,1),(3470,1),(6371,1),(6516,1),(6539,1),(7703,1),(8311,1)}
2966:{1,2,3,5,6,7}:{(2445,1),(2479,1),(2483,1),(3216,1),(3299,1),(3340,1),(3430,1),(3442,1),(3469,1),(4046,1),(4137,1),(4158,1),(4316,1),(4334,1),(4339,1),(4351,1),(4370,1),(4375,1),(4414,1),(4463,1),(4478,1),(4487,1),(4502,1),(4510,1),(4542,1),(4552,1),(4558,1),(5212,1),(5308,1),(5369,1),(5370,1),(5397,1),(5399,1),(5404,1),(5450,1),(5476,1),(5526,1),(5542,1),(5544,1),(5560,1),(5585,1),(5643,1),(5660,1),(5661,1),(5679,1),(5680,1),(6267,1),(6273,1),(6274,1),(6323,1),(6325,1),(6371,2),(6373,1),(6408,1),(6409,1),(6412,1),(6438,1),(6566,1),(6596,1),(6607,1),(6663,1),(6689,1),(6695,1),(6700,1),(6719,1),(6720,1),(6728,1),(7271,1),(7294,1),(7360,1),(7361,1),(7387,2),(7410,1),(7413,1),(7427,1),(7468,1),(7469,1),(7498,1),(7522,1),(7569,1),(7600,1),(7648,1),(7703,1),(8155,1),(8160,1),(8192,1),(8196,1),(8197,1),(8237,1),(8239,1),(8323,1),(8353,1),(8359,1),(8360,1),(8392,1),(8815,1),(8854,1)}
2967:{1,2,6}:{(2453,1),(2472,1),(2491,1),(3458,1),(3475,1)}
2968:{1,2,4,6}:{(2454,1),(2470,1),(2492,1),(3370,1),(3389,1),(3457,1),(3477,1),(4185,1),(4288,1),(4408,1),(5219,1),(6265,1),(6522,1)}
2969:{1,2,5,6}:{(2452,1),(2471,1),(2493,1),(3372,1),(3476,1),(3480,1),(4526,1),(5629,1),(5660,1),(8361,1),(8970,1),(9292,1)}
2970:{1,2,4,5,7}:{(2456,1),(2475,1),(2492,1),(2495,1),(3244,1),(3371,1),(3394,1),(3461,1),(3474,1),(3477,1),(3479,1),(4066,1),(4190,1),(4240,1),(4289,1),(4339,1),(4343,1),(4344,1),(4350,1),(4402,1),(4473,1),(4476,1),(4536,1),(4558,1),(5146,1),(5226,1),(5356,1),(5363,1),(5404,1),(5432,1),(5434,1),(5488,1),(5497,1),(5500,1),(5544,1),(5554,1),(5600,1),(5610,1),(5614,1),(5630,1),(5631,1),(5665,1),(5667,1),(6340,1),(6346,3),(6349,1),(6474,1),(6478,1),(6479,2),(6490,1),(6509,1),(6576,1),(6609,1),(6652,1),(6658,1),(6708,1),(6720,1),(7286,1),(7322,1),(7325,1),(7327,2),(7380,1),(7383,3),(7385,1),(7387,3),(7406,1),(7532,1),(7535,1),(7584,1),(7642,1),(7643,1),(7668,1),(7680,1),(8138,1),(8148,1),(8197,2),(8241,1),(8256,1),(8258,1),(8348,1),(8359,1),(8360,1),(8361,1),(8363,1),(8419,1),(8854,1),(8889,1),(9245,1),(9278,1)}
2971:{1,2,5,7}:{(2457,1),(2473,1),(2491,1),(2496,1),(3244,1),(3462,1),(3473,1),(3475,1),(3478,1),(4066,1),(4240,1),(4339,1),(5404,1),(6346,1),(7383,1),(7387,1)}
2972:{1,2,5,7}:{(2455,1),(2474,1),(2493,1),(2494,1),(3480,1),(4555,1),(5679,1),(6346,1),(7383,1),(7387,1)}
2973:{1,2,4,6,7}:{(2460,1),(2477,1),(2494,1),(2499,1),(3377,1),(3463,1),(3472,1),(3480,1),(3483,1),(4349,1),(4435,1),(4535,1),(4544,1),(4561,1),(5220,1),(5489,1),(5678,1),(5679,1),(6346,1),(6615,1),(6756,1),(7387,1),(7703,1)}
2974:{1,2,4,6}:{(2458,1),(2478,1),(2496,1),(2498,1),(3252,1),(3464,1),(3473,1),(3478,1),(3482,1),(4263,1),(4534,1),(4543,1),(5363,1),(6346,1)}
2975:{1,2,4,6}:{(2459,1),(2476,1),(2495,1),(2497,1),(3252,1),(3465,1),(3474,1),(4195,1),(4263,1),(4347,1),(4536,1),(5363,1),(5495,1),(5634,1),(6346,2),(6349,1),(6612,1),(6658,1),(7406,1),(7532,1),(7535,1),(8146,1)}
2976:{1,2,5,7}:{(2461,1),(2485,1),(2499,1),(3420,1),(3483,1),(3485,1),(4360,1),(5679,1)}
2977:{1,2,5}:{(2462,1),(2486,1),(2498,1),(3269,1),(3482,1),(3486,1),(4555,1)}
2978:{1,2,5,6}:{(2463,1),(2487,1),(2497,1),(3269,1),(3408,1),(3419,1),(3474,1),(3481,1),(3484,1),(4089,1),(4091,1),(4341,1),(4556,1),(5208,1),(5563,1),(6346,1),(6521,1),(8146,1)}
2979:{1,2,5,6}:{(2510,1),(2586,1),(2633,1),(2636,1),(3502,1),(3589,1),(3593,1),(3668,1),(3921,1),(3924,1),(6778,1),(6889,1)}
2980:{1,4,5,7}:{(2515,1),(2631,1),(2635,1),(2643,1),(3489,1),(3588,1),(3606,1),(3839,1),(3920,1),(5005,1),(5709,1),(7029,1)}
2981:{1}:{(2509,1)}
2982:{1,4}:{(2508,1),(2628,1),(3494,1),(3919,1)}
2983:{1,2,7}:{(2514,1),(2585,1),(2642,1),(3488,1),(3596,1)}
2984:{1,4,6}:{(2504,1),(2629,1),(2637,1),(3500,1),(3841,1),(3918,1),(3919,1),(4729,1),(4809,1),(5894,1),(6985,1),(8079,1)}
2985:{1,2,4,7}:{(2506,1),(2585,1),(2631,1),(2640,1),(3495,1),(3595,1),(3606,1),(3670,1),(3839,1),(3923,1),(4592,1),(4983,1),(5059,1),(5940,1)}
2986:{1,2,6,7}:{(2502,1),(2584,1),(2636,1),(2642,1),(3492,1),(3593,1),(3596,1),(3921,1),(3923,1),(7741,1)}
2987:{1,5,7}:{(2503,1),(2634,1),(2641,1),(3830,1)}
2988:{1,4,5,6,7}:{(2500,1),(2630,1),(2634,1),(2637,1),(2643,1),(3490,1),(3587,1),(3591,1),(3598,1),(3605,1),(3830,1),(3838,1),(3839,1),(3918,1),(3920,1),(4570,1),(4717,1),(4719,1),(4860,1),(4964,1),(4967,1),(4970,1),(4972,1),(4974,1),(4986,1),(4989,1),(4990,1),(5000,1),(5003,1),(5005,1),(5713,1),(5860,1),(5867,1),(5878,1),(5894,1),(6013,1),(6104,1),(6107,1),(6110,1),(6111,1),(6121,1),(6122,1),(6126,1),(6131,1),(6132,1),(6135,1),(6788,1),(6798,1),(6954,2),(6962,1),(6971,1),(6976,1),(6980,1),(7029,1),(7030,1),(7055,1),(7164,1),(7165,1),(7168,1),(7184,1),(7201,1),(7743,1),(7752,1),(7788,1),(7812,1),(7907,1),(7909,1),(7942,1),(8026,1),(8079,1),(8643,1),(9069,1)}
2989:{1,5,6,7}:{(2505,1),(2635,1),(2638,1),(2641,1),(3588,1),(3594,1),(3597,1),(3918,1),(3920,1),(4986,1),(4990,1),(6104,1),(6784,1),(7753,1),(7976,1)}
2990:{1,2,4,5}:{(2512,1),(2587,1),(2628,1),(2633,1),(3498,1),(3589,1),(3603,1),(3667,1),(3841,1),(3924,1),(4582,1),(4593,1),(4701,1),(4769,1),(4788,1),(4984,1),(5716,1)}
2991:{1,2,4,5,6}:{(2507,1),(2586,1),(2629,1),(2632,1),(2639,1),(3493,1),(3590,1),(3592,1),(3604,1),(3668,1),(3830,1),(3838,1),(3841,1),(3921,1),(3924,1),(4572,1),(4594,1),(4700,1),(4703,1),(4722,1),(4755,1),(4762,1),(4770,1),(4775,1),(4784,1),(4787,1),(4860,1),(4964,1),(4967,1),(4969,1),(4981,1),(4984,1),(5033,1),(5040,1),(5041,1),(5060,1),(5711,1),(5724,1),(5730,1),(5744,1),(5860,1),(5862,1),(5868,1),(5884,1),(5925,1),(5930,1),(5937,1),(5945,1),(6013,1),(6017,1),(6061,1),(6062,1),(6106,1),(6108,1),(6162,1),(6163,1),(6167,1),(6774,1),(6777,1),(6779,1),(6823,1),(6888,1),(6889,1),(7037,1),(7100,1),(7102,1),(7132,1),(7163,1),(7168,1),(7186,1),(7222,1),(7743,1),(7762,1),(7904,1),(7985,1),(8028,1),(8046,1),(8079,1),(8643,1)}
2992:{1,2,5}:{(2501,1),(2587,1),(2632,1),(3501,1),(3590,1),(3667,1),(3830,1)}
2993:{1,6}:{(2513,1),(2638,1),(3919,1)}
2994:{1,2,4,6,7}:{(2511,1),(2584,1),(2630,1),(2639,1),(2640,1),(3487,1),(3592,1),(3595,1),(3605,1),(3669,1),(3838,1),(3839,1),(3921,1),(3923,1),(4587,1),(4762,1),(4766,1),(4782,1),(4974,1),(4981,1),(4983,1),(5041,1),(5044,1),(5059,1),(5060,1),(5705,1),(5878,1),(5882,1),(5930,1),(5937,1),(5940,1),(6106,1),(6167,1),(6962,1),(7037,1),(7039,1),(7102,1),(7131,1),(7163,1),(7168,1),(7205,1),(7206,1),(7738,1),(7743,1),(7749,1),(7870,1),(8046,1),(8079,1),(8562,1)}
2995:{4,6,7}:{(2559,1),(2685,1),(2686,1),(3504,1),(3508,1),(3713,1),(3714,1),(3722,1),(3724,1),(4603,1),(4853,1),(4856,1),(4860,1),(4863,1),(4864,1),(4865,1),(5744,1),(5745,1),(5800,1),(6008,1),(6013,1),(6014,1),(6015,1),(6828,1),(6829,2),(7098,1),(7102,1),(7787,1),(7788,1),(7792,1),(7796,1)}
2996:{4}:{(2557,1)}
2997:{4,7}:{(2556,1),(2686,1),(5745,1)}
2998:{4,6}:{(2558,1),(2685,1),(3503,1),(3507,1)}
2999:{5}:{(2528,1)}
3000:{5}:{(2530,1)}
3001:{3,5,7}:{(2529,1),(2670,1),(2688,1),(3505,1),(3512,1),(3588,1),(5095,1),(6007,1)}
3002:{3,5,7}:{(2531,1),(2670,1),(2688,1),(3504,1),(3511,1),(3587,1),(3706,1),(4847,1),(4869,1),(4888,1),(5095,1),(6007,2),(6021,1),(6897,1),(7030,1),(8026,1)}
3003:{6}:{(2521,1)}
3004:{4,6}:{(2523,1),(2689,1),(3514,1),(3553,1)}
3005:{3,4,6}:{(2522,1),(2674,1),(2689,1),(3511,1),(3551,1),(3591,1),(3714,1),(3718,1),(3731,1),(3754,1),(4603,1),(4853,1),(4863,1),(4870,1),(4897,1),(5770,1),(6008,2),(6013,1),(6039,1),(6106,1),(6863,1),(6864,1),(7102,1),(7201,1),(7248,1),(7787,1),(7788,1),(7795,1),(7796,1)}
3006:{3,6}:{(2520,1),(2674,1),(3594,1)}
3007:{4,7}:{(2519,1),(2691,1),(3555,1)}
3008:{3,4,5,7}:{(2518,1),(2675,1),(2691,1),(2694,1),(3515,1),(3557,1),(3598,1),(3713,1),(3721,1),(3727,1),(3732,1),(3755,1),(4609,1),(4742,1),(4847,1),(4854,1),(4856,1),(4864,1),(4880,1),(4900,1),(5095,1),(5096,1),(5101,1),(5102,1),(5736,1),(5754,1),(5781,1),(5866,1),(6007,1),(6022,1),(6036,1),(6041,1),(6047,1),(6828,1),(6829,1),(6853,1),(6856,1),(6913,1),(7029,1),(7098,1),(7104,1),(8026,1),(8040,1)}
3009:{7}:{(2516,1)}
3010:{3,5,7}:{(2517,1),(2675,1),(2694,1),(3516,1),(3597,1),(5095,1),(5102,1)}
3011:{4,5,7}:{(2526,1),(2534,1),(2701,1),(3509,1),(3521,1),(3561,1),(4602,1),(5745,1),(9491,1)}
3012:{4,5}:{(2524,1),(2532,1),(3510,1),(3520,1),(3560,1),(7715,1)}
3013:{4,5,7}:{(2527,1),(2535,1),(2701,1),(3508,1),(3519,1),(3559,1)}
3014:{4,5}:{(2525,1),(2533,1),(3507,1),(3562,1)}
3015:{3,5,6}:{(2534,1),(2539,1),(2575,1),(3521,1),(3608,1),(4747,1)}
3016:{3,5,6}:{(2533,1),(2536,1),(2574,1),(3514,1),(3522,1),(3523,1),(3706,1),(4869,1)}
3017:{3,5,6}:{(2535,1),(2538,1),(2572,1),(3519,1),(3609,1),(3706,1),(4869,1),(4888,1)}
3018:{3,5,6}:{(2532,1),(2537,1),(2573,1),(3513,1),(3520,1),(3525,1),(4626,1)}
3019:{3,6,7}:{(2539,1),(2541,1),(2576,1),(3625,1),(3731,1)}
3020:{3,4,6,7}:{(2538,1),(2540,1),(2579,1),(2718,1),(3524,1),(3582,1),(3623,1),(3731,1),(3734,1),(4611,1),(4670,1),(4853,1),(5774,1),(5776,1),(6039,1),(6106,1),(6865,1),(7102,1),(7201,1),(7786,1),(7797,1),(7822,1)}
3021:{3,4,6,7}:{(2536,1),(2542,1),(2578,1),(2718,1),(3517,1),(3523,1),(3580,1),(3734,1),(3762,1),(4613,1),(4696,1),(4860,1),(5754,1),(5777,1)}
3022:{3,6,7}:{(2537,1),(2543,1),(2577,1),(3518,1),(3525,1),(3762,1)}
3023:{4,5}:{(2544,1),(2548,1),(3531,1),(3726,1),(5745,1),(6832,1)}
3024:{4,5}:{(2546,1),(2550,1),(3532,1),(3565,1)}
3025:{2,4,5}:{(2545,1),(2551,1),(2682,1),(3533,1),(3563,1),(5743,1),(6014,1),(6019,1),(6061,1),(6833,1),(7099,1),(7136,1),(8602,1)}
3026:{2,4,5}:{(2547,1),(2549,1),(2682,1),(3534,1),(3712,1),(3726,1),(4849,1),(4926,1),(5744,1),(6014,1),(6019,1),(6061,1),(6823,1),(6832,1),(6833,1),(7099,1),(7716,1),(7841,1),(8604,1)}
3027:{4,7}:{(2544,1),(2563,1),(3539,1),(5745,1)}
3028:{2,4,7}:{(2547,1),(2562,1),(2687,1),(3508,1),(3542,1),(5744,1),(6014,1)}
3029:{2,4,7}:{(2545,1),(2561,1),(2687,1),(3507,1),(3540,1),(4613,1),(6014,1)}
3030:{4,7}:{(2546,1),(2560,1),(3510,1),(3541,1)}
3031:{2,3,5,6}:{(2518,1),(2549,1),(2733,1),(2754,1),(3534,1),(3551,1),(3557,1),(3662,1),(3777,1),(4637,1),(4641,1),(4688,1),(4825,1),(4913,1),(4932,1),(5813,1),(5921,1),(6887,1)}
3032:{2,3,5,6}:{(2517,1),(2548,1),(2733,1),(2754,1),(3531,1),(3552,1),(3556,1),(3661,1),(4635,1),(4687,1),(5826,1),(6887,1)}
3033:{2,6}:{(2516,1),(2550,1),(3532,1),(3558,1)}
3034:{2,6}:{(2519,1),(2551,1),(3555,1)}
3035:{2,3,5,7}:{(2520,1),(2548,1),(2553,1),(2734,1),(3538,1),(3552,1),(3666,1),(4693,1),(5095,1),(5096,1),(6055,1)}
3036:{2,3,5,7}:{(2522,1),(2549,1),(2552,1),(2734,1),(3536,1),(3551,1),(3664,1),(3778,1),(4914,1),(5095,1),(5096,1),(6055,2),(6061,1),(6164,1),(7131,1),(7836,1),(7837,1)}
3037:{2,5,7}:{(2521,1),(2550,1),(2554,1),(3535,1),(3549,1),(3554,1),(3558,1),(6881,1)}
3038:{2,5,7}:{(2523,1),(2551,1),(2555,1),(3550,1),(3553,1),(3555,1)}
3039:{2,6}:{(2525,1),(2758,1),(3562,1)}
3040:{2,7}:{(2526,1),(2759,1)}
3041:{2}:{(2524,1)}
3042:{2,6,7}:{(2527,1),(2758,1),(2759,1),(3559,1),(3799,1),(3800,1)}
3043:{2,4,6}:{(2528,1),(2555,1),(2567,1),(3507,1),(3550,1),(3553,1),(4606,1)}
3044:{2,3,4,6,7}:{(2529,1),(2553,1),(2565,1),(2742,1),(2767,1),(3509,1),(3539,1),(3546,1),(3548,1),(3552,1),(3671,1),(3747,1),(3798,1),(3826,1),(4595,1),(4604,1),(4621,1),(4628,1),(4640,1),(4647,1),(4653,1),(4675,1),(4695,1),(4856,1),(4863,1),(4865,1),(4870,1),(5102,1),(5112,1),(5732,1),(5745,1),(5751,1),(5767,1),(5777,1),(5783,1),(5797,1),(5799,1),(5811,1),(5822,1),(5831,1),(5835,1),(5943,1),(6035,1),(6047,1),(6079,1),(6224,1),(6759,1),(6805,1),(6829,1),(6847,1),(6887,1),(6902,1),(6941,1),(6953,1),(7102,1),(7248,1),(7796,1),(7806,1),(7841,1),(7847,1),(7870,1),(8505,1),(8618,1),(8744,1),(9120,1),(9123,1),(9221,1),(9465,1)}
3045:{2,4,6}:{(2530,1),(2554,1),(2564,1),(3510,1),(3541,1),(3543,1),(3549,1),(3554,1),(4605,1),(4639,1),(5802,1)}
3046:{2,3,4,6,7}:{(2531,1),(2552,1),(2566,1),(2742,1),(2767,1),(3508,1),(3542,1),(3545,1),(3547,1),(3551,1),(3672,1),(3747,1),(3798,1),(3826,1),(4603,1),(4619,1),(4629,1),(4649,1),(4676,1),(4698,1),(4856,1),(4863,1),(4865,1),(4870,1),(4937,1),(5102,1),(5112,1),(5744,1),(5753,1),(5770,1),(5778,1),(5784,1),(5799,1),(5814,1),(5820,1),(5834,1),(6014,1),(6035,1),(6047,1),(6078,1),(6079,1),(6081,1),(6224,1),(6772,1),(6828,1),(6886,1),(6903,1),(7098,1),(7102,1),(7124,1),(7131,1),(7248,1),(7716,1),(7796,1),(7848,1),(8040,1)}
3047:{2,3,4,6}:{(2545,1),(2568,1),(2709,1),(3533,1),(3540,1),(3563,1),(3567,1),(3584,1),(3677,1),(3785,1),(3807,1),(4668,1),(4690,1),(4924,1),(4932,1),(4937,1),(4941,1),(4958,1),(5849,1),(5944,1),(6014,1),(6019,1),(6076,1),(6769,1),(6886,1),(6903,1),(7102,1),(7124,1),(7136,1),(7893,1),(8050,1),(8059,1),(8602,1)}
3048:{3,4,6}:{(2544,1),(2570,1),(3531,1),(3539,1),(3564,1),(3569,1),(3583,1),(3678,1),(3723,1),(3743,1),(4687,1),(4695,1),(4903,1),(5745,1),(6844,1),(7954,1)}
3049:{2,3,4,6}:{(2547,1),(2569,1),(2709,1),(3534,1),(3542,1),(3566,1),(3570,1),(3586,1),(3676,1),(3723,1),(3743,1),(3785,1),(3807,1),(4619,1),(4651,1),(4678,1),(4688,1),(4698,1),(4875,1),(4903,1),(4932,1),(4937,1),(4938,1),(4958,1),(4963,1),(5048,1),(5744,1),(5813,1),(5836,1),(5850,1),(5946,1),(6014,1),(6019,1),(6062,1),(6076,1),(6102,1),(6888,1),(6903,1),(7102,1),(7124,1),(7718,1),(7841,1),(8604,1),(8630,1)}
3050:{3,4,6}:{(2546,1),(2571,1),(3532,1),(3541,1),(3565,1),(3568,1),(3585,1),(3675,1),(4667,1),(4689,1)}
3051:{2,3,5,7}:{(2535,1),(2566,1),(2613,1),(2773,1),(3508,1),(3559,1),(3571,1),(3577,1),(3681,1),(4629,1),(4676,1)}
3052:{2,3,5,7}:{(2534,1),(2565,1),(2612,1),(2773,1),(3509,1),(3561,1),(3574,1),(3578,1),(3679,1),(4628,1),(4675,1),(5809,1),(7727,1),(8505,1),(9120,1),(9491,1)}
3053:{2,3,5}:{(2533,1),(2567,1),(2615,1),(3507,1),(3550,1),(3562,1),(3576,1),(4617,1),(4678,1)}
3054:{2,3,5}:{(2532,1),(2564,1),(2614,1),(3510,1),(3549,1),(3560,1),(3575,1),(4615,1),(4677,1)}
3055:{2,3,6}:{(2538,1),(2562,1),(2616,1),(3542,1),(3688,1),(3799,1)}
3056:{2,3,6}:{(2539,1),(2563,1),(2619,1),(3539,1),(3689,1),(4695,1)}
3057:{2,3,6}:{(2536,1),(2561,1),(2617,1),(3540,1),(3553,1),(3799,1)}
3058:{2,3,6}:{(2537,1),(2560,1),(2618,1),(3541,1),(3554,1),(4667,1)}
3059:{2,3,5,7}:{(2541,1),(2570,1),(2620,1),(2784,1),(3569,1),(3578,1),(3581,1),(3693,1),(4659,1),(4675,1),(5101,1),(5102,1),(5809,1),(6079,1)}
3060:{2,3,7}:{(2542,1),(2568,1),(2623,1),(3555,1),(3576,1),(3800,1),(7124,1),(7131,1)}
3061:{2,3,5,7}:{(2540,1),(2569,1),(2622,1),(2784,1),(3570,1),(3577,1),(3582,1),(3694,1),(3800,1),(4665,1),(4914,1),(5083,1),(5101,1),(5102,1),(6164,1),(6947,1),(7131,1),(7150,1),(7731,1),(7834,1)}
3062:{2,3,7}:{(2543,1),(2571,1),(2621,1),(3558,1),(3568,1),(3575,1),(4677,1)}
3063:{3,6}:{(2626,1),(2788,1),(3576,1)}
3064:{3}:{(2627,1)}
3065:{3,5,7}:{(2624,1),(2787,1),(2789,1),(3527,1),(4628,1),(5102,1),(6047,1)}
3066:{3,5,6,7}:{(2625,1),(2787,1),(2788,1),(2789,1),(3530,1),(3577,1),(3754,1),(3755,1),(3756,1),(3813,1),(3816,1),(4625,1),(4629,1),(4869,1),(4870,1),(4889,1),(4892,1),(5101,1),(5102,1),(5749,1),(5754,1),(5761,1),(5770,1),(5771,1),(6022,1),(6036,1),(6039,1),(6047,1),(6761,1),(6856,1),(6863,1),(7124,1),(7248,1),(7729,1),(7842,1),(8040,1)}
3067:{1,5,7}:{(2573,1),(2577,1),(2671,1),(3525,1),(3830,1),(5699,1)}
3068:{5,6,7}:{(2575,1),(2576,1),(2796,1),(3703,1),(5690,1),(6106,1)}
3069:{5,6,7}:{(2572,1),(2579,1),(2796,1),(3703,1),(3706,1),(4635,1),(4847,1),(5859,1),(6007,1),(6105,1),(6106,1)}
3070:{1,5,7}:{(2574,1),(2578,1),(2671,1),(3523,1),(3706,1),(3830,1),(4756,1),(5861,1),(6007,1),(6105,1)}
3071:{1,4,6}:{(2519,1),(2582,1),(2810,1),(3595,1),(3613,1),(3659,1),(4707,1)}
3072:{1,6}:{(2516,1),(2580,1),(3596,1),(3611,1)}
3073:{1,5,6}:{(2517,1),(2583,1),(2815,1),(3594,1),(3597,1),(4965,1),(5119,1),(6104,1)}
3074:{1,4,5,6}:{(2518,1),(2581,1),(2810,1),(2815,1),(3591,1),(3598,1),(3614,1),(3662,1),(3840,1),(3852,1),(3854,1),(3860,1),(4710,1),(4964,1),(4965,1),(4975,1),(4997,1),(5119,1),(5121,1),(5860,1),(5894,1),(6013,1),(6104,1),(6122,1),(6954,1),(7055,1),(7168,1)}
3075:{1,5,7}:{(2520,1),(2583,1),(2591,1),(3594,1)}
3076:{1,5,7}:{(2521,1),(2580,1),(2588,1),(3589,1),(3593,1),(3596,1),(3616,1)}
3077:{1,4,5,7}:{(2523,1),(2582,1),(2589,1),(2813,1),(3590,1),(3592,1),(3595,1),(3617,1),(3665,1),(4572,1),(4700,1),(4711,1),(4715,1),(5691,1),(5878,1)}
3078:{1,4,5,7}:{(2522,1),(2581,1),(2590,1),(2813,1),(3587,1),(3591,1),(3615,1),(3664,1),(3855,1),(4714,1),(4992,1),(5860,1),(7249,1)}
3079:{1,4,6}:{(2525,1),(2592,1),(2821,1),(3602,1),(3627,1),(3668,1),(4860,1)}
3080:{1,4,6,7}:{(2527,1),(2593,1),(2821,1),(2822,1),(3600,1),(3630,1),(3669,1),(3859,1),(3861,1),(6827,1),(7789,1)}
3081:{1,4}:{(2524,1),(2595,1),(3629,1),(3667,1)}
3082:{1,4,7}:{(2526,1),(2594,1),(2822,1),(3628,1),(3670,1),(5745,1),(6978,1)}
3083:{1,4,6,7}:{(2529,1),(2591,1),(2651,1),(2827,1),(3588,1),(3594,1),(3606,1),(4720,1),(4982,1),(5943,1),(6104,1),(6805,1),(7102,1)}
3084:{1,4,6}:{(2528,1),(2589,1),(2648,1),(3590,1),(3631,1),(4981,1)}
3085:{1,4,6,7}:{(2531,1),(2590,1),(2650,1),(2827,1),(3587,1),(3591,1),(3847,1),(4982,1),(5003,1),(6104,1),(6137,1),(7055,1)}
3086:{1,4,6}:{(2530,1),(2588,1),(2649,1),(3589,1),(3593,1),(3603,1),(3633,1)}
3087:{1,5,7}:{(2534,1),(2602,1),(2833,1),(3608,1),(4757,1),(5888,1)}
3088:{1,3,5}:{(2532,1),(2603,1),(2812,1),(3589,1),(3599,1),(3882,1),(4756,1),(5759,1),(5887,1),(6783,1),(7186,1)}
3089:{1,3,5}:{(2533,1),(2601,1),(2812,1),(3590,1),(3602,1),(3882,1),(7186,1)}
3090:{1,5,7}:{(2535,1),(2600,1),(2833,1),(3609,1)}
3091:{3,5}:{(2580,1),(2609,1),(3611,1),(3621,1)}
3092:{3,5}:{(2582,1),(2608,1),(3613,1)}
3093:{1,3,5}:{(2581,1),(2610,1),(2717,1),(3765,1),(4888,1),(4894,1),(4901,1),(4965,1),(5761,1),(5763,1),(5766,1),(5860,1),(6817,1),(6860,1),(7124,1),(8041,1)}
3094:{1,3,5}:{(2583,1),(2611,1),(2717,1),(3620,1),(4575,1),(4965,1),(5763,1),(5861,1),(9072,1)}
3095:{1,3,6}:{(2537,1),(2599,1),(2818,1),(3593,1),(3762,1),(3880,1),(4899,1),(6867,1),(7751,1),(8079,1)}
3096:{1,3,4,6}:{(2536,1),(2597,1),(2818,1),(2836,1),(3592,1),(3607,1),(3687,1),(3762,1),(3847,1),(3859,1),(3880,1),(4696,1),(4705,1),(4748,1),(4810,1),(4860,1),(4897,1),(4899,1),(4902,1),(4981,1),(4999,1),(5003,1),(5017,1),(5769,1),(5775,1),(5894,1),(5993,1),(6013,1),(6039,1),(6106,1),(6132,1),(6157,1),(6867,1),(6869,1),(6968,1),(7012,1),(7102,1),(7122,1),(7124,1),(7126,1),(7163,1),(7815,1),(7961,1),(8079,2),(8533,1),(8656,1)}
3097:{1,6}:{(2539,1),(2598,1)}
3098:{1,4,6}:{(2538,1),(2596,1),(2836,1),(3609,1),(3688,1),(4809,1)}
3099:{1,5,7}:{(2541,1),(2606,1),(2845,1),(3625,1)}
3100:{1,4,5,7}:{(2540,1),(2607,1),(2840,1),(2845,1),(3623,1),(3694,1),(3855,1),(3861,1),(3873,1),(3877,1),(4980,1),(4988,1),(7942,1)}
3101:{1,3,4,7}:{(2542,1),(2604,1),(2823,1),(2840,1),(3595,1),(3691,1),(3861,1),(3873,1),(3881,1),(3889,1),(4900,1),(4904,1),(4983,1),(5782,1),(6873,1),(7124,1),(7773,1),(8040,1)}
3102:{1,3,7}:{(2543,1),(2605,1),(2823,1),(3596,1),(3881,1)}
3103:{3,5,6}:{(2586,1),(2846,1),(2847,1),(3627,1),(3880,1),(3882,1),(5768,1)}
3104:{3,6,7}:{(2584,1),(2847,1),(2848,1),(3880,1),(3881,1)}
3105:{3,7}:{(2585,1),(2848,1)}
3106:{3,5}:{(2587,1),(2846,1),(3629,1)}
3107:{1,3,4,7}:{(2590,1),(2610,1),(2663,1),(2723,1),(3615,1),(3698,1),(3768,1),(3879,1),(4629,1),(4714,1),(4843,1),(4900,1),(4904,1),(4982,1),(5779,1),(5781,1),(5784,1),(6047,1),(6817,1),(7124,1),(7773,1),(8040,1)}
3108:{1,3,4,7}:{(2591,1),(2611,1),(2660,1),(2723,1),(3618,1),(3636,1),(3696,1),(3879,1),(4712,1),(4740,1),(4982,1),(5779,1),(7720,1),(7773,1),(8517,1)}
3109:{3,4,7}:{(2588,1),(2609,1),(2661,1),(3616,1),(3633,1),(3637,1)}
3110:{3,4,7}:{(2589,1),(2608,1),(2662,1),(3617,1),(3631,1),(4630,1),(5691,1)}
3111:{1,3,4}:{(2667,1),(2724,1),(2829,1),(3702,1),(3766,1),(3871,1),(4860,1),(7720,1)}
3112:{4}:{(2664,1)}
3113:{1,4}:{(2665,1),(2724,1),(3700,1)}
3114:{3,4}:{(2666,1),(2829,1),(3848,1),(5050,1),(6019,1)}
3115:{1,2,5,6}:{(2574,1),(2615,1),(2617,1),(2729,1),(3573,1),(3646,1),(3649,1),(5890,1),(5894,1),(5968,1),(6180,1),(7128,1)}
3116:{1,2,5,6}:{(2573,1),(2614,1),(2618,1),(2729,1),(3572,1),(3643,1),(3650,1),(5720,1),(5887,1),(5893,1),(5954,1),(5967,1),(6781,1),(7036,1),(8614,1)}
3117:{2,5,6}:{(2572,1),(2613,1),(2616,1),(3647,1)}
3118:{2,5,6}:{(2575,1),(2612,1),(2619,1),(3648,1),(5733,1),(6784,1)}
3119:{1,4}:{(2615,1),(2731,1),(3507,1),(3576,1),(3919,1)}
3120:{4,5,7}:{(2612,1),(2861,1),(2863,1),(3509,1),(3578,1),(3648,1),(4602,1),(9491,1)}
3121:{1,4}:{(2614,1),(2731,1),(3510,1),(3575,1),(3919,1)}
3122:{4,5,7}:{(2613,1),(2861,1),(2863,1),(3508,1),(3577,1),(3647,1),(4599,1)}
3123:{2,4,6,7}:{(2576,1),(2619,1),(2620,1),(3539,1),(3581,1),(3645,1),(3648,1),(3774,1),(3775,1),(4612,1),(4647,1),(4653,1),(4666,1),(4850,1),(7870,1)}
3124:{1,2,4,6,7}:{(2578,1),(2617,1),(2623,1),(2737,1),(3540,1),(3580,1),(3646,1),(3649,1),(3908,1),(3931,1),(4613,1),(4976,1),(5935,1),(5981,1),(6066,1),(6803,1)}
3125:{1,2,4,6,7}:{(2577,1),(2618,1),(2621,1),(2737,1),(3541,1),(3579,1),(3643,1),(3650,1),(3908,1),(3931,1),(4614,1),(4654,1),(4664,1),(4801,1),(4976,1),(5931,1),(5967,1),(6982,1),(7036,1),(7815,1),(7857,1),(7914,1),(7979,1),(7988,1)}
3126:{2,4,6,7}:{(2579,1),(2616,1),(2622,1),(3542,1),(3582,1),(3644,1),(3647,1),(3774,1),(3775,1),(4611,1),(4850,1),(5938,1),(5980,1),(6802,1),(7014,1),(7102,1),(7201,1),(7797,1)}
3127:{1,4}:{(2546,1),(2652,1),(3585,1),(3848,1)}
3128:{1,2,4}:{(2545,1),(2653,1),(2807,1),(3584,1),(3848,1),(5029,1),(6019,1),(7902,1),(8602,1)}
3129:{1,4}:{(2544,1),(2655,1),(3583,1)}
3130:{1,2,4}:{(2547,1),(2654,1),(2807,1),(3586,1),(3844,1)}
3131:{1,2,5}:{(2551,1),(2582,1),(2645,1),(3659,1),(3684,1)}
3132:{1,2,5}:{(2550,1),(2580,1),(2647,1),(3653,1),(3660,1),(3683,1)}
3133:{1,2,5}:{(2548,1),(2583,1),(2644,1),(3654,1),(4757,1),(4965,1),(5861,1)}
3134:{1,2,5}:{(2549,1),(2581,1),(2646,1),(4965,1),(5860,1),(6061,1),(8545,1)}
3135:{1,2,4,7}:{(2553,1),(2591,1),(2644,1),(2657,1),(3658,1),(3666,1),(3696,1),(3922,1),(4712,1),(4764,1),(4982,1),(7841,1)}
3136:{1,2,4,7}:{(2552,1),(2590,1),(2646,1),(2659,1),(3664,1),(3698,1),(3922,1),(4597,1),(4714,1),(4982,1),(5059,1),(5070,1),(6188,1),(7039,1),(7053,1),(7131,1),(8545,1)}
3137:{1,2,4,7}:{(2554,1),(2588,1),(2647,1),(2656,1),(3655,1),(3663,1),(3673,1),(3695,1),(5876,1),(5958,1),(6062,1),(6797,1),(7199,1),(7780,1)}
3138:{1,2,4,7}:{(2555,1),(2589,1),(2645,1),(2658,1),(3665,1),(3674,1),(3697,1),(4593,1),(5878,1),(7199,1),(7779,1)}
3139:{1,2,3,5,6,7}:{(2559,1),(2593,1),(2630,1),(2650,1),(2903,1),(2904,1),(3487,1),(3490,1),(3587,1),(3605,1),(3669,1),(3681,1),(3874,1),(3875,1),(3940,1),(3943,1),(4574,1),(4589,1),(4629,1),(4717,1),(4777,1),(4790,1),(4803,1),(4814,1),(4817,1),(4822,1),(4829,1),(4986,1),(5054,1),(5059,1),(5060,1),(5688,1),(5728,1),(5734,1),(5770,1),(5771,1),(5825,1),(5860,1),(5955,1),(5971,1),(5984,1),(5990,1),(6036,1),(6039,1),(6047,1),(6085,1),(6090,1),(6091,1),(6104,1),(6106,1),(6167,1),(6180,1),(6196,1),(6204,1),(6864,1),(6935,1),(6954,1),(7017,1),(7030,1),(7039,1),(7117,1),(7124,1),(7131,1),(7148,1),(7152,1),(7153,1),(7184,1),(7213,1),(7233,1),(7877,1),(7994,1),(8012,1),(8026,1),(8040,1),(8046,1),(8054,1),(8079,1),(8105,1),(8106,1),(8562,1),(8594,1),(8643,1),(8754,1),(9066,1),(9085,1)}
3140:{1,2,3,5,6}:{(2558,1),(2592,1),(2629,1),(2648,1),(2903,1),(3493,1),(3500,1),(3590,1),(3604,1),(3668,1),(3680,1),(3874,1),(4573,1),(4583,1),(4775,1),(4787,1),(4814,1),(5060,1),(5769,1),(5860,1),(5894,1),(6144,1),(6205,1),(6990,1),(7062,1),(7186,1),(7222,1),(7762,1),(7874,1),(7985,1),(8012,1),(8079,1),(8536,1),(8643,1)}
3141:{1,2,3,5}:{(2557,1),(2595,1),(2628,1),(2649,1),(3494,1),(3498,1),(3589,1),(3603,1),(3667,1),(4577,1),(4584,1),(4788,1)}
3142:{1,2,3,5,7}:{(2556,1),(2594,1),(2631,1),(2651,1),(2904,1),(3489,1),(3495,1),(3588,1),(3606,1),(3670,1),(3679,1),(3875,1),(4580,1),(4590,1),(4628,1),(4789,1),(4827,1),(5054,1),(5059,1),(5984,1),(6047,1),(6091,1)}
3143:{1,2,3,5,7}:{(2561,1),(2597,1),(2653,1),(2658,1),(2886,1),(3657,1),(3665,1),(3680,1),(3687,1),(3691,1),(3824,1),(3928,1),(3953,1),(4691,1),(4758,1),(4796,1),(4830,1),(4942,1),(4959,1),(5070,1),(5988,1),(6001,1),(6061,1),(6085,1),(6091,1),(6173,1),(6180,1),(6815,1),(6903,1),(6937,1),(7031,1),(7040,1),(7065,1),(7074,1),(7124,1),(7131,1),(7156,1),(7157,1),(7220,1),(7222,2),(7779,1),(8009,1),(8056,1),(8059,1)}
3144:{1,2,3,5,7}:{(2560,1),(2599,1),(2652,1),(2656,1),(2886,1),(3655,1),(3663,1),(3682,1),(3690,1),(3692,1),(3824,1),(3953,1),(4694,1),(4756,1),(4798,1),(4942,1),(6937,1)}
3145:{1,2,5,7}:{(2563,1),(2598,1),(2655,1),(2657,1),(3658,1),(3689,1),(4757,1)}
3146:{1,2,5,7}:{(2562,1),(2596,1),(2654,1),(2659,1),(3656,1),(3688,1),(4755,1),(5070,1),(6180,1)}
3147:{1,2,6,7}:{(2566,1),(2600,1),(2659,1),(2909,1),(3681,1),(3688,1),(3946,1),(4809,1)}
3148:{1,2,6,7}:{(2565,1),(2602,1),(2657,1),(2909,1),(3670,1),(3679,1),(3689,1),(3946,1),(4783,1),(4807,1),(5969,1),(7778,1)}
3149:{1,2,3,6}:{(2567,1),(2601,1),(2658,1),(2887,1),(3668,1),(3674,1),(3680,1),(3961,1),(5769,1),(5894,1),(6001,1),(7222,1)}
3150:{1,2,3,6}:{(2564,1),(2603,1),(2656,1),(2887,1),(3667,1),(3673,1),(3682,1),(3961,1),(4584,1),(4786,1),(5768,1),(5838,1),(5893,1),(5967,1),(5999,1),(7222,1),(8548,1)}
3151:{1,2,3,6}:{(2571,1),(2605,1),(2652,1),(2889,1),(3660,1),(3675,1),(3692,1),(3952,1),(4689,1)}
3152:{1,2,3,6}:{(2568,1),(2604,1),(2653,1),(2889,1),(3659,1),(3677,1),(3691,1),(3927,1),(3952,1),(4690,1),(4958,1),(6001,1),(6005,1),(6903,1),(7124,1),(7893,1),(8059,1)}
3153:{1,2,5,6}:{(2570,1),(2606,1),(2655,1),(2910,1),(3678,1),(3689,1),(3693,1),(3925,1),(3948,1),(4757,1),(4807,1),(5057,1),(5071,1),(5119,1),(5121,1),(5888,1),(5953,1),(5969,1),(6187,1)}
3154:{1,2,5,6}:{(2569,1),(2607,1),(2654,1),(2910,1),(3676,1),(3688,1),(3694,1),(3925,1),(3927,1),(3948,1),(4755,1),(4809,1),(5037,1),(5057,1),(5119,1),(5121,1),(5889,1),(6006,1),(6167,1),(6180,1),(6810,1),(7078,1),(7088,1),(7230,1),(7232,1),(7757,1),(7964,1),(8106,1)}
3155:{2,3,6}:{(2632,1),(2662,1),(2846,1),(3501,1),(3631,1),(3762,1),(5730,1)}
3156:{2,3,6}:{(2633,1),(2661,1),(2846,1),(3498,1),(3633,1),(5768,1)}
3157:{1,3,6,7}:{(2634,1),(2663,1),(2787,1),(2913,1),(3491,1),(3762,1),(3879,1),(3946,1),(4807,1),(6123,1)}
3158:{1,3,6,7}:{(2635,1),(2660,1),(2787,1),(2913,1),(3489,1),(3879,1),(3946,1),(4807,1),(6039,1),(6123,1),(6765,1),(7773,1),(7778,1),(7879,1),(8106,1)}
3159:{2,3,5,7}:{(2639,1),(2662,1),(2666,1),(2847,1),(3487,1),(3493,1),(3617,1),(3635,1),(3764,1),(3962,1),(4574,1),(4629,1),(4959,1),(5842,1),(6036,1),(6085,1),(6095,1),(6855,1),(6938,1),(7119,1),(7124,1),(7131,1),(7730,1),(7849,1),(8040,1),(8041,1),(8054,1),(8594,1),(8630,1)}
3160:{2,3,5,7}:{(2636,1),(2661,1),(2664,1),(2847,1),(3492,1),(3502,1),(3616,1),(3637,1),(3962,1),(4576,1),(4831,1)}
3161:{1,3,5,7}:{(2637,1),(2663,1),(2667,1),(2788,1),(3500,1),(3638,1),(3764,1),(4573,1),(4629,1),(5761,1),(6144,1),(6152,1),(6817,1),(7124,1),(7729,1),(7730,1),(7766,1),(7773,1),(7976,1),(8040,1),(8041,1)}
3162:{1,3,5,7}:{(2638,1),(2660,1),(2665,1),(2788,1),(3499,1),(3636,1),(4575,1),(7766,1),(7773,1),(7976,1)}
3163:{2,3,6}:{(2640,1),(2666,1),(2848,1),(3495,1),(3613,1),(3642,1),(3763,1),(5855,1),(6902,1),(7124,1)}
3164:{1,3,5,6}:{(2643,1),(2667,1),(2789,1),(2913,1),(3489,1),(3641,1),(3763,1),(3883,1),(3948,1),(4807,1),(4894,1),(5119,1),(5121,1),(5856,1),(5888,1),(6039,1),(6765,1),(6923,1),(6927,1),(7088,1),(7124,1),(7232,1),(7764,1),(8106,1)}
3165:{1,3,5,6}:{(2641,1),(2665,1),(2789,1),(2913,1),(3491,1),(3640,1),(3883,1),(3948,1),(4807,1),(5024,1),(5119,1),(5121,1),(5888,1),(5904,1),(6151,1),(7766,1)}
3166:{2,3,6}:{(2642,1),(2664,1),(2848,1),(3488,1),(3611,1),(3639,1),(4826,1)}
3167:{1,2,3,6}:{(2611,1),(2644,1),(2791,1),(2918,1),(3583,1),(3686,1),(3696,1),(3700,1),(4596,1),(4687,1),(4695,1),(4824,1),(5843,1),(8545,1),(9096,1)}
3168:{2,3,4}:{(2609,1),(2647,1),(2916,1),(3585,1),(3683,1),(3699,1),(3848,1)}
3169:{1,2,3,6}:{(2610,1),(2646,1),(2791,1),(2918,1),(3586,1),(3685,1),(3698,1),(3702,1),(4688,1),(4698,1),(4958,1),(5843,1),(5855,1),(6005,1),(6772,1),(6817,1),(6903,1),(7124,1),(8545,1),(8630,1)}
3170:{2,3,4}:{(2608,1),(2645,1),(2916,1),(3684,1),(3848,1)}
3171:{5,6}:{(2670,1),(2674,1),(6106,1)}
3172:{5,6}:{(2669,1),(2678,1),(3705,1)}
3173:{5}:{(2679,1)}
3174:{5,7}:{(2669,1),(2684,1),(3703,1),(3706,1)}
3175:{4,6}:{(2673,1),(2726,1),(3703,1),(3731,1),(6106,1)}
3176:{4,5,7}:{(2672,1),(2676,1),(2727,1),(3705,1),(3708,1),(3721,1),(3732,1),(4847,1),(5095,1),(5866,1)}
3177:{4,6,7}:{(2668,1),(2674,1),(2675,1),(3516,1),(3704,1),(3774,1),(6008,1)}
3178:{4,6}:{(2677,1),(2710,1),(3713,1),(3777,1)}
3179:{4,5,7}:{(2677,1),(2685,1),(2711,1),(3503,1),(3713,1),(3714,1),(3778,1),(5745,1),(6825,1),(6829,1)}
3180:{4,5}:{(2686,1),(2688,1),(3779,1),(5745,1)}
3181:{4,6,7}:{(2676,1),(2678,1),(2770,1),(3705,1)}
3182:{4,5}:{(2683,1),(2771,1),(3716,1),(3726,1),(4862,1),(5744,1),(5745,1),(6014,1),(6019,1),(6832,1),(7716,1)}
3183:{4,6}:{(2681,1),(2745,1),(4860,1),(6106,1)}
3184:{4,7}:{(2680,1),(2747,1),(6014,1)}
3185:{4,6}:{(2682,1),(2746,1),(3721,1)}
3186:{4}:{(2748,1)}
3187:{4,5,7}:{(2682,1),(2687,1),(2749,1),(3706,1),(3718,1),(3721,1),(4847,1)}
3188:{4,6}:{(2683,1),(2772,1),(3711,1),(3724,1),(4860,1),(4862,1),(5744,1),(5745,1),(6014,1),(6019,1)}
3189:{4}:{(2773,1)}
3190:{4,7}:{(2683,1),(2774,1),(3507,1),(3722,1),(4860,1),(5744,1),(6014,1)}
3191:{4,6}:{(2687,1),(2777,1),(3706,1)}
3192:{4,7}:{(2778,1),(2926,1),(2927,1)}
3193:{4,6}:{(2779,1),(2925,1),(2926,1),(3709,1),(4862,1)}
3194:{3,5,6}:{(2688,1),(2698,1),(2919,1),(2920,1),(3715,1),(3727,1),(3852,1),(4635,1),(6776,1)}
3195:{3,5}:{(2669,1),(2707,1),(3706,1),(3711,1),(3850,1),(4968,1)}
3196:{3,6,7}:{(2668,1),(2689,1),(2691,1),(3517,1),(3851,1),(5754,1)}
3197:{3,5,7}:{(2671,1),(2692,1),(2702,1),(3733,1),(3853,1),(5752,1),(5754,1),(6105,1)}
3198:{3,5,6}:{(2672,1),(2693,1),(2703,1),(3731,1),(3732,1),(3854,1)}
3199:{3,5,7}:{(2673,1),(2693,1),(2708,1),(3731,1),(3855,1),(5095,1)}
3200:{4,6,7}:{(2690,1),(2695,1),(2696,1),(3518,1),(3733,1),(3794,1),(5691,1),(5742,1),(6827,1),(9425,1)}
3201:{4,5,6}:{(2692,1),(2695,1),(2697,1),(3513,1),(3514,1),(3520,1),(3720,1),(3733,1),(3795,1),(4601,1),(4605,1),(4606,1),(4636,1),(4860,1),(5742,1),(5746,1)}
3202:{3,4,6,7}:{(2694,1),(2698,1),(2712,1),(2923,1),(2924,1),(3516,1),(3713,1),(3727,1),(3798,1),(3858,1),(4608,1),(4647,1),(4742,1),(4856,1),(5102,1),(5688,1),(5831,1),(6047,1),(6805,1),(6829,1)}
3203:{4,6}:{(2700,1),(2713,1),(3799,1),(4860,1)}
3204:{4,7}:{(2699,1),(2714,1),(3800,1),(5745,1)}
3205:{4,5,6}:{(2699,1),(2701,1),(2715,1),(3521,1),(3711,1),(3723,1),(3735,1),(3801,1),(4602,1),(4853,1),(5745,1)}
3206:{3,4,6,7}:{(2679,1),(2704,1),(2751,1),(3719,1),(3729,1),(3737,1),(3762,1),(3865,1),(4860,1),(4898,1),(5754,1),(6046,1),(6877,1),(7822,1)}
3207:{3,4,7}:{(2676,1),(2703,1),(2750,1),(3721,1),(3732,1),(3757,1),(3866,1),(4900,1),(5102,1),(5754,1)}
3208:{3,4,5,6}:{(2680,1),(2705,1),(2752,1),(3707,1),(3711,1),(3737,1),(3739,1),(3744,1),(3763,1),(3803,1),(3867,1),(4853,1),(4860,1),(4869,1),(4891,1),(4894,1),(4907,1),(4968,1),(6013,1),(6014,1),(6017,1),(6019,1),(6029,1),(6037,1),(6039,1),(6106,1),(7102,1),(7117,1),(7124,1)}
3209:{3,4,5,7}:{(2681,1),(2704,1),(2705,1),(2753,1),(3729,1),(3737,1),(3738,1),(3745,1),(3764,1),(3804,1),(3868,1),(4617,1),(4858,1),(4860,1),(4869,1),(4872,1),(4882,1),(4908,1),(5754,1),(5786,1),(6014,1),(6029,1),(6030,1),(6037,1),(6043,1),(6046,1),(6877,1),(7119,1),(7124,1)}
3210:{3,4,5}:{(2682,1),(2693,1),(2709,1),(3563,1),(3706,1),(3711,1),(3765,1),(3869,1),(4600,1),(4617,1),(4849,1),(4869,1),(4888,1),(4894,1),(4968,1),(5743,1),(5762,1),(5766,1),(6014,1),(6019,1),(6021,1),(6037,1),(6108,1),(6823,1),(6833,1),(6897,1),(7099,1),(7124,1),(8028,1),(8041,1)}
3211:{3,4,6}:{(2678,1),(2706,1),(2775,1),(3716,1),(3718,1),(3728,1),(3731,1),(3870,1),(3972,1),(4707,1),(4853,1),(4863,1),(4897,1),(6008,1),(6013,1),(6039,1),(6106,1),(6864,1),(7102,1),(7788,1),(7795,1),(7796,1)}
3212:{3,4}:{(2683,1),(2776,1),(3807,1),(3871,1),(4860,1)}
3213:{3,4,6,7}:{(2684,1),(2707,1),(2708,1),(2780,1),(3724,1),(3730,1),(3731,1),(3872,1),(4853,1),(4904,1),(4983,1),(6039,1),(6106,1),(7102,1)}
3214:{3,4,7}:{(2687,1),(2709,1),(2781,1),(3721,1),(3724,1),(3873,1),(4613,1),(4860,1),(4864,1),(4900,1),(4983,1),(5744,1),(5754,1),(6014,1),(6120,1),(6826,1),(6828,1),(7098,1),(7103,1),(7104,1),(7124,1),(8040,1)}
3215:{3,5,6}:{(2689,1),(2711,1),(2793,1),(3514,1),(3714,1),(3754,1)}
3216:{3,5,7}:{(2710,1),(2712,1),(2794,1),(3713,1)}
3217:{3,5,6,7}:{(2713,1),(2714,1),(2718,1),(2795,1),(3523,1),(3734,1),(5823,1),(5826,1),(6036,1)}
3218:{3,5,7}:{(2715,1),(2720,1),(2796,1),(3735,1),(3877,1),(7030,1)}
3219:{3,5}:{(2722,1),(2797,1),(7124,1)}
3220:{3,5,6}:{(2717,1),(2798,1),(2928,1),(2929,1),(3754,1),(3755,1),(3758,1),(4687,1),(5763,1),(6761,1),(6863,1)}
3221:{3,5,7}:{(2717,1),(2723,1),(2799,1),(3754,1),(5095,1)}
3222:{3,6}:{(2719,1),(2800,1),(3757,1)}
3223:{3,4,5}:{(2677,1),(2717,1),(2724,1),(3620,1),(3726,1),(3758,1),(3821,1),(4633,1),(4849,1),(5745,1),(5763,1),(6825,1),(6832,1),(7720,1)}
3224:{3,4,5,7}:{(2719,1),(2725,1),(2801,1),(3736,1),(3749,1),(3751,1),(3753,1),(3757,1),(3761,1),(3822,1),(3976,1),(4633,1),(4693,1),(4862,1),(4868,1),(4880,1),(4885,1),(4887,1),(4890,1),(4901,1),(5102,1),(5104,1),(5745,1),(5763,1),(5779,1),(5784,1),(6012,1),(6016,1),(6021,1),(6045,1),(6047,1),(6049,1),(6220,1),(6224,1),(6825,1),(6829,1),(6832,1),(6860,1),(7118,1),(7123,1),(7124,1),(7127,1),(7716,1),(7720,1),(7819,1),(8040,1),(8041,1),(8537,1),(8580,1)}
3225:{3,7}:{(2721,1),(2802,1),(3762,1)}
3226:{3,5}:{(2721,1),(2803,1),(3763,1),(3766,1),(7124,1)}
3227:{3,4,6}:{(2725,1),(2785,1),(2804,1),(3751,1),(3825,1),(4695,1),(4862,1),(4903,1),(5745,1),(6049,1),(7124,1)}
3228:{3,4,7}:{(2722,1),(2786,1),(2806,1),(3753,1),(3757,1),(3827,1),(4629,1),(4900,1),(5102,1),(5754,1),(6047,1),(7124,1),(7720,1),(8040,1)}
3229:{3,4,6,7}:{(2723,1),(2787,1),(2805,1),(2934,1),(2935,1),(3527,1),(3747,1),(3754,1),(3756,1),(3826,1),(4621,1),(4624,1),(4628,1),(4629,1),(4695,1),(4863,1),(4865,1),(4870,1),(4904,1),(5102,1),(5745,1),(5767,1),(5770,1),(5771,1),(5777,1),(5779,1),(5783,1),(5784,1),(5831,1),(6035,1),(6039,1),(6047,2),(6224,1),(6761,1),(6829,1),(6863,1),(6872,1),(7102,1),(7124,1),(7125,1),(7248,1),(7720,1),(7796,1),(8040,1)}
3230:{3,4,7}:{(2685,1),(2724,1),(2788,1),(3528,1),(3636,1),(3828,1),(5754,1),(7720,1)}
3231:{3,4,6}:{(2686,1),(2724,1),(2789,1),(3527,1),(3640,1),(3743,1),(3760,1),(3829,1),(4860,1),(5745,1),(6013,1),(7717,1),(7720,1)}
3232:{3,4}:{(2721,1),(2807,1),(3586,1),(3765,1),(7124,1)}
3233:{2,6,7}:{(2668,1),(2726,1),(2727,1),(3708,1)}
3234:{2,5}:{(2669,1),(2741,1),(3709,1)}
3235:{2,5,7}:{(2670,1),(2742,1),(2937,1),(2938,1),(3710,1),(3769,1),(7030,1)}
3236:{2,5,7}:{(2671,1),(2729,1),(2737,1),(3771,1),(3773,1),(6105,1)}
3237:{4,5,6,7}:{(2728,1),(2730,1),(2732,1),(3703,1),(3707,1),(3708,1),(3719,1),(3773,1),(3792,1),(4847,1),(4853,1),(6105,1),(6106,1),(6955,1),(6959,1),(7097,1),(7163,1)}
3238:{4,6}:{(2729,1),(2731,1),(3773,1),(3793,1)}
3239:{2,6}:{(2674,1),(2734,1)}
3240:{2,5,7}:{(2675,1),(2733,1),(2940,1),(2942,1),(3774,1),(5095,1)}
3241:{2,4,7}:{(2676,1),(2735,1),(2941,1),(2942,1),(6016,1)}
3242:{2,4,5,6}:{(2672,1),(2733,1),(2735,1),(2736,1),(3531,1),(3534,1),(3770,1),(3775,1),(3776,1),(3796,1),(3969,1),(3970,1),(4635,1),(4637,1),(4849,1),(4857,1),(4913,1),(4920,1),(5789,1),(5921,1),(6008,1),(6056,1),(6832,1),(6844,1),(6887,1),(7129,1),(7796,1),(7864,1),(8604,1),(8609,1),(9043,1),(9053,1),(9150,1)}
3243:{2,4,5,7}:{(2673,1),(2734,1),(2736,1),(2743,1),(3538,1),(3710,1),(3772,1),(3775,1),(3797,1),(4859,1),(4914,1),(5095,1),(6055,1),(6164,1),(6218,1),(7870,1),(8604,1),(8609,1)}
3244:{2,5}:{(2677,1),(2744,1),(3777,1)}
3245:{2,4,6}:{(2678,1),(2738,1),(2943,1),(2945,1),(3770,1),(3968,1),(3970,1),(7796,1)}
3246:{2,4,6}:{(2680,1),(2739,1),(2755,1),(3532,1),(3783,1),(3803,1),(6014,1),(6017,1),(6019,1),(6889,1),(7102,1),(7136,1)}
3247:{2,4,5,7}:{(2681,1),(2739,1),(2740,1),(2756,1),(3535,1),(3771,1),(3782,1),(3783,1),(3784,1),(3786,1),(3804,1),(4858,1),(4910,1),(4912,1),(4914,1),(4921,1),(5706,1),(5791,1),(6014,1),(6061,1),(6062,1),(6799,1),(7031,1),(7131,1),(7132,1),(7136,1),(7137,1)}
3248:{2,4,6}:{(2679,1),(2740,1),(2757,1),(3541,1),(3720,1),(3771,1),(4981,1),(7815,1)}
3249:{2,4}:{(2683,1),(2760,1),(3807,1)}
3250:{2,4,6,7}:{(2684,1),(2741,1),(2743,1),(2782,1),(3539,1),(3542,1),(3725,1),(3772,1),(3775,1),(4647,1),(4653,1),(4863,1),(5799,1),(7102,1),(7796,1),(7870,1),(8505,1),(8618,1)}
3251:{2,4,7}:{(2685,1),(2744,1),(2758,1),(3544,1),(3778,1),(3828,1),(7841,1)}
3252:{2,4,6}:{(2686,1),(2744,1),(2759,1),(3546,1),(3777,1),(3779,1),(3787,1),(3829,1),(4640,1),(4926,1),(6887,1),(7841,1)}
3253:{2,3,5}:{(2688,1),(2767,1),(2937,1),(2938,1),(3712,1),(3779,1),(3917,1),(3974,1),(3976,1),(4901,1),(5107,1),(6220,1)}
3254:{2,3,6}:{(2689,1),(2726,1),(2749,1),(3553,1),(3718,1),(3731,1),(3913,1),(4897,1),(6106,1)}
3255:{2,3,5,6,7}:{(2690,1),(2728,1),(2745,1),(2747,1),(2751,1),(3719,1),(3729,1),(3790,1),(3791,1),(3792,1),(3794,1),(3914,1),(4656,1),(4847,1),(4898,1),(4912,1),(4929,1),(4935,1),(5076,1),(5754,1),(5976,1),(6036,1),(6090,1),(6105,1),(6106,1),(6955,1),(7131,1),(7735,1),(7749,1),(7822,1)}
3256:{2,3,5,7}:{(2691,1),(2727,1),(2746,1),(2750,1),(3555,1),(3721,1),(3732,1),(3790,1),(3915,1),(4656,1),(4816,1),(4847,1),(4900,1),(5754,1),(5866,1),(6036,1),(7131,1)}
3257:{2,3,5,6}:{(2692,1),(2729,1),(2748,1),(2757,1),(3720,1),(3771,1),(3791,1),(3793,1),(3795,1),(3916,1),(4872,1),(4899,1),(4936,1),(4942,1),(5808,1)}
3258:{3,6}:{(2730,1),(2753,1),(3918,1)}
3259:{3}:{(2731,1),(3919,1)}
3260:{3,5,7}:{(2732,1),(2752,1),(2763,1),(3920,1),(4847,1),(4869,1),(5754,1)}
3261:{2,6}:{(2695,1),(2756,1)}
3262:{2,3,7}:{(2694,1),(2754,1),(2940,1),(2942,1),(3922,1),(5102,1)}
3263:{2,7}:{(2696,1),(2755,1)}
3264:{2,5}:{(2697,1),(2765,1)}
3265:{2,3,5}:{(2693,1),(2736,1),(2768,1),(3564,1),(3925,1),(3974,1),(3976,1),(6021,1),(6220,1),(6902,1)}
3266:{2,3,6}:{(2698,1),(2761,1),(2944,1),(2945,1),(3777,1),(3926,1),(4640,1),(4870,1),(6887,1),(7248,1)}
3267:{2,6}:{(2699,1),(2760,1),(3800,1)}
3268:{2,5,7}:{(2700,1),(2758,1),(2760,1),(3562,1),(3786,1),(3799,1),(3800,1),(4910,1),(6061,1),(7131,1)}
3269:{2,5}:{(2701,1),(2759,1),(3787,1)}
3270:{2,3,6,7}:{(2702,1),(2737,1),(2757,1),(2762,1),(3791,1),(3793,1),(3794,1),(3931,1),(4664,1),(5988,1)}
3271:{2,3,4,6}:{(2703,1),(2735,1),(2754,1),(2764,1),(3531,1),(3534,1),(3796,1),(3802,1),(3819,1),(3932,1),(3972,1),(3973,1),(4687,1),(4688,1),(4875,1),(4886,1),(4924,1),(4932,1),(5813,1),(5843,1),(6832,1),(6844,1),(6887,1),(7796,1),(7841,1),(7954,1),(8600,1),(8604,1),(8630,1),(9150,1),(9162,1)}
3272:{2,3,5}:{(2705,1),(2739,1),(2766,1),(3565,1),(3771,1),(3807,1),(3933,1),(4968,1),(6037,1)}
3273:{2,3,4,7}:{(2704,1),(2740,1),(2762,1),(2766,1),(3568,1),(3738,1),(3783,1),(3804,1),(3824,1),(3934,1),(4677,1),(4908,1),(4956,1),(4983,1),(5849,1),(6014,1),(7124,1),(7136,1),(8059,1)}
3274:{2,3,4,5,7}:{(2706,1),(2738,1),(2761,1),(2764,1),(2769,1),(3536,1),(3538,1),(3712,1),(3781,1),(3789,1),(3797,1),(3802,1),(3805,1),(3822,1),(3935,1),(3975,1),(3976,1),(3986,1),(3987,1),(4616,1),(4618,1),(4643,1),(4692,1),(4693,1),(4771,1),(4856,1),(4859,1),(4862,1),(4887,1),(4901,1),(4914,1),(4919,1),(4928,1),(4933,1),(4934,1),(4961,1),(5095,1),(5096,1),(5102,1),(5104,1),(5107,1),(5109,1),(5718,1),(5744,1),(5745,1),(5822,1),(5839,1),(5858,1),(5940,1),(6012,1),(6014,1),(6016,1),(6019,1),(6021,1),(6025,1),(6045,1),(6047,1),(6049,1),(6055,2),(6061,1),(6065,1),(6074,1),(6079,1),(6080,1),(6091,1),(6100,1),(6164,1),(6217,1),(6218,1),(6220,1),(6224,1),(6823,1),(6825,1),(6828,1),(6829,1),(6832,1),(6833,1),(6847,1),(6895,1),(6902,1),(6903,1),(6930,1),(6933,1),(6949,1),(7098,1),(7099,1),(7104,1),(7114,1),(7118,1),(7123,1),(7124,1),(7127,1),(7130,1),(7131,1),(7134,1),(7139,2),(7144,1),(7146,1),(7150,1),(7160,1),(7706,1),(7716,2),(7804,1),(7806,1),(7818,1),(7819,2),(7836,1),(7837,2),(7841,1),(7847,1),(7848,1),(7850,1),(7853,1),(7870,1),(8032,1),(8040,1),(8041,1),(8054,1),(8060,1),(8496,2),(8507,1),(8537,1),(8580,2),(8604,1),(8609,1),(8630,1),(8673,1),(8750,1),(9043,2),(9107,1),(9139,1),(9233,1),(9456,1)}
3275:{2,3,4,6}:{(2707,1),(2741,1),(2769,1),(2783,1),(3539,1),(3542,1),(3723,1),(3748,1),(3785,1),(3789,1),(3825,1),(3936,1),(4619,1),(4621,1),(4653,1),(4695,1),(4698,1),(4862,1),(4903,1),(4937,1),(4938,1),(4958,1),(5048,1),(5744,1),(5745,1),(5835,1),(5943,1),(6014,1),(6019,1),(6049,1),(6080,1),(6102,1),(6847,1),(6902,1),(6903,1),(7102,1),(7124,1),(9123,1)}
3276:{2,3,4,7}:{(2708,1),(2743,1),(2768,1),(2784,1),(3569,1),(3747,1),(3797,1),(3827,1),(3937,1),(4675,1),(4887,1),(5102,1),(6079,1),(6224,1),(7841,1),(8604,1),(8630,1)}
3277:{2,3,5,6}:{(2710,1),(2771,1),(2775,1),(2854,1),(3716,1),(3728,1),(3752,1),(3777,1),(3810,1),(4913,1),(4932,1),(5826,1),(6887,1)}
3278:{2,3,5,7}:{(2711,1),(2771,1),(2790,1),(2855,1),(3550,1),(3706,1),(3717,1),(3730,1),(3753,1),(3778,1),(3809,1),(4617,1),(4656,1),(4683,1),(4847,1),(4869,1),(4888,1),(4910,1),(4914,1),(5095,1),(5096,1),(5754,1),(6007,1),(6021,1),(6022,1),(6036,1),(6053,1),(6054,1),(6055,1),(6061,1),(6852,1),(6853,1),(6897,1),(6915,1),(7130,1),(7131,1),(7836,1),(7837,1),(8026,1),(9045,1)}
3279:{2,3,5,6}:{(2713,1),(2774,1),(2777,1),(2856,1),(3706,1),(3722,1),(3799,1),(3813,1),(4869,1),(4910,1),(4937,1)}
3280:{2,3,5,6}:{(2715,1),(2773,1),(2783,1),(2858,1),(3723,1),(3789,1),(3801,1),(3812,1),(3815,1),(3942,1),(4903,1),(4938,1),(5809,1)}
3281:{2,3,5,7}:{(2714,1),(2772,1),(2780,1),(2859,1),(3724,1),(3730,1),(3800,1),(3816,1),(4914,1),(4939,1),(6036,1),(7131,1)}
3282:{2,3,6,7}:{(2712,1),(2750,1),(2775,1),(2860,1),(3742,1),(3757,1),(3810,1),(3989,1),(3991,1),(4816,1),(4892,1),(4900,1),(5102,1),(5754,1),(5831,1),(6047,1),(6057,1),(6100,1),(7131,1),(8040,1)}
3283:{3,7}:{(2861,1),(2946,1),(2947,1),(3946,1)}
3284:{3,6}:{(2862,1),(2947,1),(2948,1),(3947,1)}
3285:{3,5}:{(2863,1),(2946,1),(2947,1),(3743,1),(3948,1)}
3286:{3,5,6}:{(2776,1),(2785,1),(2864,1),(3744,1),(3751,1),(3763,1),(3813,1),(3816,1),(4869,1),(4894,1),(4903,1),(5761,1),(6039,1),(7124,1)}
3287:{3,5,7}:{(2776,1),(2786,1),(2865,1),(3576,1),(3745,1),(3813,1),(4617,1),(4629,1),(4869,1),(5754,1),(5761,1),(7124,1)}
3288:{2,3,5,6,7}:{(2716,1),(2778,1),(2779,1),(2782,1),(2857,1),(3571,1),(3574,1),(3725,1),(3769,1),(3772,1),(3812,1),(3814,1),(3955,1),(3984,1),(4870,1),(4873,1),(4927,1),(4944,1),(4948,1),(4962,1),(5102,1),(5116,1),(5809,1),(5990,1),(6225,1),(6891,1),(6935,1),(7030,1),(7248,1),(7727,1),(7884,1),(8505,1),(8618,1)}
3289:{2,3,5}:{(2717,1),(2791,1),(2866,1),(3726,1)}
3290:{2,3,6,7}:{(2718,1),(2777,1),(2781,1),(2867,1),(3731,1),(3746,1),(3762,1),(3813,1),(4668,1),(4698,1),(4892,1),(4897,1),(4898,1),(4937,1),(4949,1),(4955,1),(5754,1),(5774,1),(6039,1),(6106,1),(6864,1),(6865,1),(6869,1),(7124,1),(7131,1),(7822,1),(7842,1),(8040,1)}
3291:{2,3,5}:{(2719,1),(2792,1),(2868,1),(3749,1),(3819,1),(4868,1)}
3292:{2,3,6,7}:{(2720,1),(2783,1),(2784,1),(2869,1),(3800,1),(3812,1),(3814,1),(3958,1),(4666,1),(5083,1),(5102,1),(6947,1)}
3293:{3,6,7}:{(2785,1),(2786,1),(2870,1),(3757,1),(3762,1),(3813,1),(3816,1),(5102,1),(5754,1),(6039,1)}
3294:{2,3}:{(2721,1),(2871,1),(3585,1)}
3295:{2,3,7}:{(2723,1),(2791,1),(2872,1)}
3296:{2,3,6}:{(2722,1),(2792,1),(2873,1),(3583,1),(3586,1),(3807,1),(3820,1),(3827,1),(3998,1),(4678,1),(4687,1),(4695,1),(4903,1),(5855,1),(6903,1),(7124,1),(7954,1),(8630,1)}
3297:{2,3}:{(2724,1),(2744,1),(3700,1)}
3298:{2,3,7}:{(2725,1),(2792,1),(2874,1),(3807,1),(3825,1),(3998,1)}
3299:{1,5,6,7}:{(2668,1),(2793,1),(2794,1),(3704,1),(3750,1),(3836,1),(3851,1),(5701,1),(5917,1),(6007,1),(6957,1)}
3300:{1,4,5}:{(2669,1),(2804,1),(3709,1),(3711,1),(3751,1),(3850,1),(3896,1),(4602,1),(4757,1),(4862,1),(4991,1),(5745,1),(5888,1),(6984,1)}
3301:{1,4,5,7}:{(2670,1),(2805,1),(2955,1),(2956,1),(3504,1),(3505,1),(3587,1),(3588,1),(3710,1),(3756,1),(3831,1),(3897,1),(4602,1),(4757,1),(4865,1),(4992,1),(5095,1),(5738,1),(5745,1),(5861,1),(5888,1),(5917,1),(6007,1),(6009,1),(6218,1),(6775,1),(6825,1),(6829,1),(6973,1),(6984,1),(7030,1),(7164,1),(7173,1),(7249,1),(7812,1),(7917,1),(8008,1)}
3302:{1,4,5,6}:{(2672,1),(2797,1),(2800,1),(2854,1),(3716,1),(3752,1),(3834,1),(3835,1),(3840,1),(3854,1),(3969,1),(3970,1),(4606,1),(4848,1),(4964,1),(4975,1),(4997,1),(5119,1),(5121,1),(5894,1),(6013,1),(6122,1),(7168,1)}
3303:{1,4,5,7}:{(2673,1),(2797,1),(2806,1),(2855,1),(3710,1),(3717,1),(3753,1),(3834,1),(3855,1),(4992,1),(5095,1),(5707,1),(6218,1),(6775,1),(6803,1),(6880,1),(7249,1),(7976,1),(9445,1)}
3304:{1,4,6}:{(2674,1),(2793,1),(2799,1),(3594,1),(3714,1),(3754,1),(3900,1),(4863,1),(6008,1),(6104,1)}
3305:{1,4,5,7}:{(2675,1),(2794,1),(2798,1),(2958,1),(2960,1),(3597,1),(3713,1),(3755,1),(3836,1),(3901,1),(4609,1),(4740,1),(4764,1),(4864,1),(5095,1),(5701,1),(5917,1),(6007,1),(6803,1),(6829,1)}
3306:{1,4,7}:{(2676,1),(2800,1),(2875,1),(3757,1)}
3307:{1,4,6}:{(2678,1),(2801,1),(2896,1),(3716,1),(3761,1),(3968,1),(3970,1),(3972,1),(4604,1),(4853,1),(4863,1),(5098,1),(5119,1),(6008,1),(6013,1),(6015,1),(7102,1),(7788,2),(7795,1),(7796,3),(8029,1),(8479,1)}
3308:{1,4,6}:{(2679,1),(2802,1),(2876,1),(3762,1),(3830,1),(4860,1)}
3309:{1,4,6}:{(2680,1),(2803,1),(2877,1),(3763,1),(3839,1),(5949,1),(7088,1)}
3310:{1,4,5,7}:{(2681,1),(2802,1),(2803,1),(2878,1),(3764,1),(3830,1),(3838,1),(3839,1),(3841,1),(3845,1),(4700,1),(4860,1),(4967,1),(4969,1),(4976,1),(5713,1),(5878,1),(6806,1)}
3311:{1,4,5}:{(2682,1),(2807,1),(2879,1),(3765,1),(3840,1)}
3312:{1,4}:{(2683,1),(2897,1),(3766,1),(3848,1),(4860,1),(5050,1),(6019,1)}
3313:{1,4,6,7}:{(2684,1),(2804,1),(2806,1),(2899,1),(3722,1),(3724,1),(3725,1),(3767,1),(3833,1),(3834,1),(3847,1),(4703,1),(4853,1),(4860,1),(4861,1),(4863,1),(4980,1),(5003,1),(5005,1),(5744,1),(5883,1),(6013,1),(6015,1),(6112,1),(6118,1),(6131,1),(6137,1),(6828,1),(6980,1),(6984,1),(7102,2),(7788,1),(7796,1),(7909,1),(7917,1)}
3314:{1,4,7}:{(2687,1),(2807,1),(2900,1),(3768,1),(3847,1),(4860,1),(5744,1)}
3315:{1,6}:{(2689,1),(2813,1),(6106,1)}
3316:{1,5,6,7}:{(2690,1),(2809,1),(2811,1),(2814,1),(3851,1),(3853,1),(3856,1),(4715,1),(5689,1),(5915,1),(5954,1),(5964,1),(6105,1),(6106,1),(6955,1),(9073,1)}
3317:{1,5,7}:{(2691,1),(2808,1),(2810,1),(3595,1),(3851,1),(5866,1)}
3318:{1,5,6}:{(2692,1),(2812,1),(2818,1),(3830,1),(3853,1),(4756,1),(5887,1),(5893,1),(5894,1)}
3319:{1,5}:{(2688,1),(2827,1)}
3320:{1,5}:{(2693,1),(2828,1)}
3321:{1,4,7}:{(2694,1),(2808,1),(2815,1),(3597,1),(3879,1),(3922,1)}
3322:{1,4,6}:{(2695,1),(2809,1),(2817,1),(3593,1),(3880,1),(3921,1),(4743,1),(4981,1),(6106,1),(7163,1),(8079,1)}
3323:{1,4,7}:{(2696,1),(2811,1),(2816,1),(3596,1),(3881,1),(3923,1),(4741,1),(4983,1)}
3324:{1,4,5}:{(2697,1),(2812,1),(2826,1),(3589,1),(3590,1),(3830,1),(3841,1),(3882,1),(3924,1),(4572,1),(4582,1),(4756,1),(4860,1),(4984,1),(5746,1),(6108,1),(7186,1)}
3325:{1,4,6}:{(2698,1),(2820,1),(2831,1),(3594,1),(3852,1),(3926,1),(5119,1),(6104,1)}
3326:{1,4,6}:{(2699,1),(2819,1),(2832,1),(3861,1),(3885,1),(3927,1),(5745,1),(6978,1),(7088,1)}
3327:{1,4,5,7}:{(2700,1),(2819,1),(2821,1),(2834,1),(3602,1),(3845,1),(3859,1),(3861,1),(3886,1),(3928,1),(4860,1),(4967,1),(5746,1),(6806,1),(6827,1),(7097,1)}
3328:{1,4,5}:{(2701,1),(2822,1),(2833,1),(3844,1),(3887,1),(3929,1),(5050,1)}
3329:{1,4,5}:{(2677,1),(2829,1),(2835,1),(3622,1),(3860,1),(3930,1),(5745,1),(6825,1),(6978,1)}
3330:{1,4,6,7}:{(2702,1),(2814,1),(2818,1),(2823,1),(3624,1),(3853,1),(3931,1),(4724,1),(4976,1)}
3331:{1,4,6}:{(2703,1),(2825,1),(2880,1),(3854,1),(3866,1),(3888,1),(5119,1),(5894,1)}
3332:{1,4,7}:{(2704,1),(2824,1),(2881,1),(3889,1)}
3333:{1,4,5}:{(2705,1),(2824,1),(2882,1),(3830,1),(3871,1),(3890,1),(3933,1),(4860,1),(5029,1)}
3334:{1,4,5,7}:{(2706,1),(2825,1),(2830,1),(2898,1),(3846,1),(3849,1),(3850,1),(3855,1),(3866,1),(3870,1),(4714,1),(4965,1),(4978,1),(4982,1),(4987,1),(5718,1),(5860,1)}
3335:{1,4,6}:{(2707,1),(2830,1),(2901,1),(3850,1),(5943,1),(7102,1)}
3336:{1,4,7}:{(2708,1),(2828,1),(2902,1),(3855,1)}
3337:{1,4,7}:{(2685,1),(2829,1),(2903,1),(3604,1),(3635,1),(4860,1),(5712,1),(5744,1),(7792,1),(7902,1)}
3338:{1,4,6}:{(2686,1),(2829,1),(2904,1),(3606,1),(3642,1),(3844,1),(3864,1),(4985,1),(5050,1),(5745,1),(5943,1),(5947,1),(6019,1),(6847,1),(6978,1),(6984,1),(7102,1)}
3339:{1,4,6}:{(2709,1),(2807,1),(2905,1),(3869,1),(3871,1),(3873,1),(4729,1),(4860,1),(5007,1),(5029,1),(5744,1),(5894,1),(6013,1),(6019,1),(6159,1),(6980,1),(7102,1),(7170,1),(7902,1)}
3340:{1,3,6,7}:{(2712,1),(2808,1),(2831,1),(3851,1),(3858,1),(3875,1),(3879,1),(5688,1),(5831,1),(6047,1)}
3341:{1,3,5,6}:{(2713,1),(2809,1),(2834,1),(2836,1),(3609,1),(3859,1),(3880,1),(4749,1),(4986,1),(5823,1),(5993,1),(6039,1),(6106,1),(6986,1),(7117,1),(8079,1)}
3342:{1,3,5,6}:{(2710,1),(2810,1),(2831,1),(2835,1),(3613,1),(3852,1),(3860,1),(3875,1),(4752,1),(5826,1)}
3343:{1,3,5,7}:{(2714,1),(2811,1),(2832,1),(2839,1),(3861,1),(3877,1),(3881,1),(5016,1)}
3344:{1,5,6}:{(2715,1),(2833,1),(2844,1),(3850,1),(3877,1),(4757,1),(5888,1)}
3345:{1,3,5,7}:{(2711,1),(2813,1),(2835,1),(2851,1),(3587,1),(3590,1),(3617,1),(3863,1),(3874,1),(4573,1),(4574,1),(4715,1),(4888,1),(5860,1),(6036,1),(6852,1),(6989,1),(8643,1),(9066,1)}
3346:{1,3,6}:{(2815,1),(2838,1),(2928,1),(2929,1),(3879,1),(4687,1),(5119,1),(5894,1)}
3347:{3,6}:{(2816,1),(2837,1),(3881,1)}
3348:{3,5,7}:{(2817,1),(2837,1),(2849,1),(3880,1),(3881,1),(3882,1)}
3349:{1,3,6,7}:{(2718,1),(2814,1),(2836,1),(2840,1),(3623,1),(3851,1),(5774,1),(5992,1),(5993,1),(6039,1),(6106,1),(6865,1)}
3350:{1,4,5,6,7}:{(2716,1),(2841,1),(2842,1),(2843,1),(3519,1),(3521,1),(3608,1),(3609,1),(3725,1),(3735,1),(3831,1),(3833,1),(3877,1),(3955,1),(4002,1),(4602,1),(4607,1),(4608,1),(4703,1),(4706,1),(4716,1),(4717,1),(4726,1),(4757,1),(4853,1),(4980,1),(4986,1),(5738,1),(5741,1),(5745,1),(5871,1),(5875,1),(5877,1),(5888,1),(5917,1),(5953,1),(6112,1),(6829,1),(6973,1),(6984,1),(7030,1),(7917,1)}
3351:{3,4,5}:{(2819,1),(2837,1),(2850,1),(3621,1),(3766,1),(3848,1),(3885,1),(3887,1),(3956,1),(4894,1),(4968,1),(5050,1),(5856,1),(6019,1),(6166,1)}
3352:{1,3,4,5,7}:{(2820,1),(2838,1),(2852,1),(2932,1),(2933,1),(3615,1),(3618,1),(3619,1),(3620,1),(3849,1),(3879,1),(3883,1),(3884,1),(3957,1),(4570,1),(4633,1),(4693,1),(4712,1),(4714,1),(4739,1),(4740,1),(4901,1),(4965,1),(4982,1),(4985,1),(4992,1),(4993,1),(4998,1),(5013,1),(5745,1),(5763,1),(5779,1),(5784,1),(5860,1),(5861,1),(5863,1),(5865,1),(5901,1),(5902,1),(5913,1),(6047,1),(6109,1),(6119,1),(6127,1),(6139,1),(6160,1),(6817,1),(6825,1),(6829,1),(6832,1),(6860,1),(6978,1),(6980,1),(6989,1),(7118,1),(7124,1),(7173,1),(7187,1),(7198,1),(7249,2),(7250,1),(7716,1),(7720,1),(7766,1),(7773,1),(7801,1),(7902,1),(7908,1),(7909,1),(7912,1),(7913,1),(7935,1),(8040,1),(8041,1),(8517,1),(8534,1),(8537,1),(9072,1),(9445,1)}
3353:{1,4,6,7}:{(2720,1),(2839,1),(2844,1),(2845,1),(3625,1),(3861,1),(3877,1),(3958,1),(4980,1)}
3354:{1,3,6}:{(2721,1),(2824,1),(3762,1),(3763,1),(3889,1),(3890,1),(4899,1),(5020,1),(7088,1),(7124,1)}
3355:{1,3,5}:{(2719,1),(2825,1),(2853,1),(3765,1),(3888,1)}
3356:{3,4,6}:{(2826,1),(2846,1),(2849,1),(3629,1),(3762,1),(3880,1),(3882,1),(3961,1),(4627,1),(4630,1),(4860,1),(4899,1),(4981,1),(4984,1),(5768,1),(5769,1),(6030,1)}
3357:{3,4,7}:{(2821,1),(2847,1),(2850,1),(3627,1),(3637,1),(3962,1),(6827,1)}
3358:{3,4,6}:{(2822,1),(2848,1),(2850,1),(3628,1),(3639,1),(3887,1),(3963,1),(4747,1),(5050,1),(5943,1)}
3359:{1,3,4,6}:{(2722,1),(2828,1),(2853,1),(2912,1),(3871,1),(3878,1),(3888,1),(3893,1),(3966,1),(4004,1),(4006,1),(4729,1),(4997,1),(5003,1),(5007,1),(5011,1),(5024,1),(5119,1),(5894,1),(5906,1),(6137,1),(6151,1),(6160,1),(6228,1),(6817,1),(6980,1),(7055,1),(7124,1)}
3360:{1,3,4,6}:{(2827,1),(2852,1),(2913,1),(2934,1),(2935,1),(3640,1),(3883,1),(3965,1),(4004,1),(4006,1),(4695,1),(4985,1),(5003,1),(5024,1),(5119,1),(5745,1),(5904,1),(5906,1),(6151,1),(6160,1),(6228,1),(6978,1),(6980,1),(7124,1)}
3361:{1,3,4,7}:{(2725,1),(2830,1),(2853,1),(2914,1),(3766,1),(3768,1),(3871,1),(3892,1),(3967,1),(4005,1),(4006,1),(4730,1),(4860,1),(4904,1),(5005,1),(5024,1),(5847,1),(6155,1),(6215,1),(7124,1),(7245,1)}
3362:{1,2,5,6}:{(2726,1),(2793,1),(2855,1),(3703,1),(3769,1),(3809,1),(3834,1),(3900,1),(3913,1),(4964,1),(4986,1),(5894,1),(6104,1),(6106,1),(6122,1),(6167,1),(6186,1),(6225,1),(6954,1),(6957,1),(7016,1),(7017,1),(7128,1)}
3363:{1,2,5,7}:{(2727,1),(2794,1),(2854,1),(2860,1),(3705,1),(3810,1),(3835,1),(3983,1),(3984,1),(4656,1),(4847,1),(4987,1),(5095,1),(5866,1),(5917,1),(6007,1),(6053,1),(6188,1),(7131,1),(8026,1)}
3364:{1,2,5,6,7}:{(2728,1),(2795,1),(2856,1),(2859,1),(2867,1),(3644,1),(3646,1),(3703,1),(3706,1),(3811,1),(3830,1),(3898,1),(4638,1),(4656,1),(4755,1),(4847,1),(4910,1),(4964,1),(4986,1),(4988,1),(5030,1),(5033,1),(5916,1),(5918,1),(5951,1),(6007,1),(6053,1),(6105,1),(6106,1),(6167,1),(6169,1),(6180,1),(6190,1),(6954,1),(6955,1),(7128,1),(7131,1),(7213,1),(7938,1),(8026,1)}
3365:{2,5,7}:{(2796,1),(2858,1),(2869,1),(3899,1),(7030,1),(8505,1)}
3366:{1,4,6}:{(2730,1),(2856,1),(2865,1),(3647,1),(3722,1),(3813,1),(3918,1),(4606,1),(4809,1),(5894,1)}
3367:{4,6,7}:{(2857,1),(2861,1),(2862,1),(3647,1),(3648,1),(3814,1),(3899,1),(7201,1)}
3368:{4,5,6}:{(2858,1),(2862,1),(2863,1),(3647,1),(3648,1),(3709,1),(3723,1),(3815,1),(3899,1),(3970,1),(4599,1),(4602,1),(5949,1),(6166,1),(6784,1),(7201,1),(7717,1)}
3369:{1,4,5,7}:{(2732,1),(2859,1),(2864,1),(2870,1),(3724,1),(3816,1),(3830,1),(3839,1),(3899,1),(3920,1),(4860,1),(4980,1),(5005,1),(5075,1)}
3370:{1,2,5,6}:{(2733,1),(2798,1),(2866,1),(2967,1),(2968,1),(3777,1),(3817,1),(3900,1),(3901,1),(4641,1),(4824,1),(4965,1),(5919,1),(6104,1),(6887,1),(7016,1)}
3371:{1,2,5,7}:{(2734,1),(2799,1),(2866,1),(2872,1),(3778,1),(3818,1),(3900,1),(5095,1),(6055,1)}
3372:{1,2,4,6}:{(2735,1),(2800,1),(2868,1),(2967,1),(2969,1),(3819,1),(3902,1),(3971,1),(3972,1),(8556,1)}
3373:{1,2,4,5}:{(2736,1),(2797,1),(2866,1),(2873,1),(3654,1),(3726,1),(3781,1),(3820,1),(3896,1),(3925,1),(4646,1),(4755,1),(4757,1),(4774,1),(4862,1),(4910,1),(4973,1),(5007,1),(5037,1),(5064,1),(5707,1),(5744,1),(5745,1),(5919,1),(5962,1),(6014,1),(6019,1),(6061,1),(6176,1),(6180,1),(6786,1),(6832,1),(6984,1),(7716,1),(7918,1),(8556,1),(9445,1)}
3374:{1,2,4,5,7}:{(2738,1),(2801,1),(2868,1),(2874,1),(2971,1),(2972,1),(3781,1),(3822,1),(3896,1),(3902,1),(3905,1),(3986,1),(3988,1),(4011,1),(4643,1),(4774,1),(4862,1),(4914,1),(4919,1),(5032,1),(5064,1),(5095,1),(5097,1),(5107,1),(5108,1),(5124,1),(5705,1),(5919,1),(5942,1),(5959,1),(6012,1),(6016,1),(6055,1),(6061,1),(6065,1),(6176,1),(6185,1),(6188,1),(6218,1),(6786,1),(6832,1),(6984,1),(7130,1),(7131,1),(7134,1),(7208,1),(7209,1),(7221,1),(7249,1),(7716,1),(7837,2),(7841,1),(7917,1),(7918,1),(8496,1),(8545,1),(8556,1),(8701,1),(9043,1),(9445,1)}
3375:{1,2,4,5}:{(2739,1),(2803,1),(2871,1),(2883,1),(3653,1),(3823,1),(3848,1),(3906,1),(3909,1),(3933,1),(4772,1),(4968,1),(5029,1),(5037,1),(6006,1),(6019,1),(6149,1)}
3376:{1,2,4,7}:{(2740,1),(2802,1),(2871,1),(2886,1),(3655,1),(3824,1),(3841,1),(3908,1),(4769,1),(4976,1),(6982,1)}
3377:{1,2,4,6}:{(2741,1),(2804,1),(2874,1),(2907,1),(3785,1),(3825,1),(3896,1),(4653,1),(4862,1),(5069,1),(5969,1),(6176,1),(6984,1)}
3378:{1,2,4,6,7}:{(2742,1),(2805,1),(2872,1),(2906,1),(2974,1),(2975,1),(3545,1),(3546,1),(3826,1),(3897,1),(3900,1),(3911,1),(4013,1),(4591,1),(4597,1),(4640,1),(4653,1),(4863,1),(4865,1),(5034,1),(5044,1),(5112,1),(5124,1),(5703,1),(5705,1),(5729,1),(5797,1),(5799,1),(5935,1),(5942,1),(5969,1),(6167,1),(6887,1),(6984,1),(7016,1),(7039,1),(7052,1),(7102,1),(7131,1),(7206,1),(7796,1),(7841,1),(7870,1),(7917,1),(8505,1),(8545,1),(8618,1)}
3379:{1,2,4,7}:{(2743,1),(2806,1),(2873,1),(2908,1),(3658,1),(3786,1),(3827,1),(4764,1),(4919,1),(4980,1),(5070,1),(5798,1),(6188,1),(6984,1),(7053,1),(7131,1),(7841,1),(7917,1),(8545,1)}
3380:{1,2,5,6}:{(2745,1),(2809,1),(2876,1),(2878,1),(3830,1),(3838,1),(3913,1),(3918,1),(3921,1),(4964,1),(4986,1),(4989,1),(5065,1),(5724,1),(5894,1),(6106,1),(6167,1),(8079,1)}
3381:{1,2,5,6}:{(2746,1),(2810,1),(2879,1),(2880,1),(3659,1),(3840,1),(3854,1),(3913,1),(3915,1),(4964,1),(5894,1)}
3382:{1,2,5,7}:{(2747,1),(2811,1),(2877,1),(2885,1),(3839,1),(3920,1),(3923,1),(5985,1),(6180,1)}
3383:{1,2,5}:{(2748,1),(2812,1),(2887,1),(3841,1),(3919,1)}
3384:{1,2,5,7}:{(2749,1),(2813,1),(2879,1),(2893,1),(3842,1),(3855,1),(3913,1),(6061,1),(7131,1)}
3385:{1,2,7}:{(2750,1),(2808,1),(2880,1),(3866,1)}
3386:{1,2,6,7}:{(2751,1),(2814,1),(2876,1),(2881,1),(3865,1),(3918,1),(5065,1),(6173,1),(7779,1)}
3387:{1,5,6}:{(2752,1),(2882,1),(2890,1),(3830,1),(3850,1),(3918,1),(3920,1),(5894,1),(6784,1)}
3388:{1,5,7}:{(2753,1),(2882,1),(2891,1),(3918,1),(3919,1)}
3389:{1,2,6}:{(2754,1),(2815,1),(2884,1),(3922,1),(5119,1)}
3390:{1,2,6}:{(2755,1),(2816,1),(2883,1),(3923,1),(3952,1),(4826,1)}
3391:{1,2,5,7}:{(2756,1),(2817,1),(2883,1),(2892,1),(3921,1),(3923,1),(3924,1),(3953,1),(4831,1),(7031,1)}
3392:{1,2,6}:{(2757,1),(2818,1),(2886,1)}
3393:{1,2,5}:{(2760,1),(2819,1),(2888,1),(3909,1),(3927,1),(3956,1)}
3394:{1,2,5,7}:{(2761,1),(2820,1),(2884,1),(2894,1),(3917,1),(3922,1),(3926,1),(3930,1),(4992,1),(5059,1),(7249,1)}
3395:{1,2,7}:{(2758,1),(2821,1),(2888,1),(3668,1),(3962,1)}
3396:{1,2,6}:{(2759,1),(2822,1),(2888,1),(3670,1),(3929,1),(3963,1),(7088,1)}
3397:{1,2,7}:{(2762,1),(2823,1),(2889,1),(3919,1)}
3398:{1,4,6,7}:{(2763,1),(2885,1),(2890,1),(2891,1),(3839,1),(3866,1),(3918,1),(3920,1),(3959,1),(4990,1),(5003,1),(5005,1),(6798,1)}
3399:{1,2,4,5}:{(2764,1),(2825,1),(2884,1),(2895,1),(3654,1),(3849,1),(3925,1),(3932,1),(3960,1),(4774,1),(4965,1),(4993,1),(5007,1),(5064,1),(5919,1),(5962,1),(6134,1),(6194,1),(6832,1),(6984,1),(7215,1),(7918,1),(7935,1),(8545,1),(8556,1),(9445,1)}
3400:{1,2,4,6}:{(2765,1),(2826,1),(2887,1),(2892,1),(3667,1),(3668,1),(3841,1),(3921,1),(3924,1),(3961,1),(4593,1),(4594,1),(4769,1),(4770,1),(4786,1),(4981,1),(4984,1),(5730,1),(5944,1),(6062,1),(6889,1),(7222,1)}
3401:{1,2,4,6}:{(2766,1),(2824,1),(2871,1),(2889,1),(3675,1),(3933,1),(3934,1),(3964,1),(5029,1),(5065,1),(6157,1)}
3402:{1,2,4,6}:{(2767,1),(2827,1),(2894,1),(2909,1),(3844,1),(3917,1),(3926,1),(3965,1),(4004,1),(4006,1),(4975,1),(4985,1),(5071,1),(5119,1),(5969,1),(6187,1),(6194,1),(6228,1),(6984,1)}
3403:{1,2,4,6}:{(2768,1),(2828,1),(2895,1),(2910,1),(3678,1),(3925,1),(3937,1),(3966,1),(4004,1),(4006,1),(5007,1),(5057,1),(5071,1),(5119,1),(5969,1),(6137,1),(6187,1),(6194,1),(6228,1),(6984,1)}
3404:{1,2,4}:{(2744,1),(2829,1),(2888,1),(3701,1),(3702,1),(3930,1),(7841,1)}
3405:{1,2,4,7}:{(2769,1),(2830,1),(2895,1),(2911,1),(3658,1),(3844,1),(3909,1),(3936,1),(3967,1),(4005,1),(4006,1),(4727,1),(4730,1),(4980,1),(5070,1),(5071,1),(6191,1),(6215,1),(6984,1),(7245,1)}
3406:{1,2,3,5,6,7}:{(2770,1),(2875,1),(2896,1),(2964,1),(2965,1),(3705,1),(3757,1),(3810,1),(3837,1),(3895,1),(3945,1),(3984,1),(3985,1),(3990,1),(3991,1),(4013,1),(4015,1),(4657,1),(4781,1),(4818,1),(4866,1),(4890,1),(4892,1),(4947,1),(4954,1),(4987,1),(4990,1),(5012,1),(5032,1),(5054,1),(5095,1),(5102,1),(5116,1),(5831,1),(5917,1),(6007,1),(6020,1),(6036,1),(6047,1),(6057,1),(6084,1),(6104,1),(6123,1),(6124,1),(6142,1),(6179,1),(6188,1),(6198,1),(6202,1),(6225,1),(6226,1),(6231,1),(6233,1),(6863,1),(6957,1),(6973,1),(7003,1),(7016,1),(7052,1),(7121,1),(7131,1),(7152,1),(7172,1),(7213,1),(7219,1),(7248,1),(7249,1),(8026,1),(8040,1),(8570,1)}
3407:{1,2,3,5,6}:{(2772,1),(2832,1),(2877,1),(2897,1),(2901,1),(3763,1),(3843,1),(3850,1),(3927,1),(3942,1),(3943,1),(3949,1),(3952,1),(4894,1),(4903,1),(4958,1),(4968,1),(4986,1),(5037,1),(5069,1),(5073,1),(5084,1),(6039,1),(6106,1),(6167,1),(6180,1),(6207,1),(7088,1),(7124,1),(7232,1),(8106,1)}
3408:{1,2,5}:{(2773,1),(2833,1),(2909,1),(3844,1),(3948,1),(5071,1)}
3409:{1,2,3,5,7}:{(2774,1),(2834,1),(2878,1),(2897,1),(2915,1),(3680,1),(3681,1),(3764,1),(3845,1),(3928,1),(3940,1),(3950,1),(3953,1),(4629,1),(4829,1),(4942,1),(4959,1),(5008,1),(5070,1),(6000,1),(6036,1),(6085,1),(6090,1),(6091,1),(6144,1),(6173,1),(6180,1),(6806,1),(7124,1),(7131,1),(7222,1),(7994,1),(8594,1)}
3410:{1,2,3,5}:{(2771,1),(2835,1),(2879,1),(2917,1),(3684,1),(3765,1),(3846,1),(3850,1),(3878,1),(3917,1),(3930,1),(4835,1),(4888,1),(4894,1),(4901,1),(4961,1),(4965,1),(4968,1),(5037,1),(5064,1),(5766,1),(5860,1),(5922,1),(6061,1),(6180,1),(7124,1),(7214,1),(7232,1),(8041,1)}
3411:{1,2,3,6}:{(2775,1),(2831,1),(2880,1),(2898,1),(3870,1),(3888,1),(3913,1),(3926,1),(4897,1),(5011,1),(5119,1),(5732,1),(5894,1),(6039,1),(6104,1),(6106,1),(6167,1),(6186,1),(6864,1),(7017,1),(8106,1)}
3412:{1,3,5}:{(2776,1),(2882,1),(2912,1),(3871,1),(3948,1),(5024,1)}
3413:{1,2,3,6}:{(2777,1),(2836,1),(2876,1),(2900,1),(3688,1),(3762,1),(3847,1),(3913,1),(4698,1),(4897,1)}
3414:{2,3,5}:{(2837,1),(2883,1),(2916,1),(3848,1),(3952,1),(4968,1)}
3415:{1,2,3,5}:{(2838,1),(2884,1),(2918,1),(2950,1),(2951,1),(3849,1),(3951,1),(4965,1),(5962,1),(6817,1),(7766,1),(8545,1)}
3416:{1,2,3,6,7}:{(2780,1),(2839,1),(2885,1),(2901,1),(2902,1),(3872,1),(3943,1),(3958,1),(3959,1),(5990,1),(6039,1),(6106,1),(6167,1),(8106,1)}
3417:{1,2,3,5,7}:{(2781,1),(2840,1),(2881,1),(2902,1),(2905,1),(3691,1),(3694,1),(3855,1),(3873,1),(3889,1),(3915,1),(3950,1),(3954,1),(4796,1),(4846,1),(4900,1),(4988,1),(5008,1),(5012,1),(5021,1),(5070,1),(6036,1),(6091,1),(6173,1),(6180,1),(6188,1),(7004,1),(7053,1),(7124,1),(7131,1),(7213,1),(7773,1),(7779,1),(7942,1),(7976,1),(8040,1)}
3418:{1,2,6,7}:{(2782,1),(2841,1),(2907,1),(2908,1),(3688,1),(3689,1),(3799,1),(3800,1),(3900,1),(4916,1),(5057,1),(5729,1),(5969,1),(6057,1),(6167,1),(6887,1),(7016,1),(7039,1),(7131,1)}
3419:{1,2,5,7}:{(2778,1),(2842,1),(2906,1),(2977,1),(2978,1),(3559,1),(3561,1),(3911,1),(3946,1),(4917,1),(4992,1),(8505,1)}
3420:{1,2,5,6}:{(2779,1),(2843,1),(2907,1),(2976,1),(2977,1),(3801,1),(3896,1),(3912,1),(3947,1),(4991,1),(5119,1)}
3421:{1,2,6}:{(2783,1),(2844,1),(2911,1),(3947,1),(4807,1),(4809,1),(5119,1),(7088,1),(8106,1)}
3422:{1,2,7}:{(2784,1),(2845,1),(2910,1),(3946,1)}
3423:{1,3,6}:{(2785,1),(2890,1),(2914,1),(3762,1),(3763,1),(3947,1),(4807,1),(4897,1),(5119,1),(6039,1),(6765,1),(7088,1),(8106,1)}
3424:{1,3,7}:{(2786,1),(2891,1),(2912,1),(3946,1)}
3425:{2,3,7}:{(2849,1),(2892,1),(2916,1),(3961,1)}
3426:{2,3}:{(2850,1),(2888,1),(3699,1)}
3427:{1,2,3,4,6,7}:{(2790,1),(2851,1),(2893,1),(2915,1),(2917,1),(3672,1),(3674,1),(3697,1),(3698,1),(3768,1),(3845,1),(3847,1),(3872,1),(3893,1),(3913,1),(3938,1),(3944,1),(3945,1),(4583,1),(4588,1),(4629,1),(4630,1),(4697,1),(4698,1),(4714,1),(4729,1),(4782,1),(4800,1),(4811,1),(4814,1),(4816,1),(4845,1),(4897,1),(4900,1),(4902,1),(4904,1),(4959,1),(4974,1),(4977,1),(4978,1),(4981,1),(4982,1),(4983,1),(5003,1),(5011,1),(5027,1),(5041,1),(5044,1),(5059,1),(5060,1),(5070,1),(5091,1),(5712,1),(5744,1),(5769,1),(5770,1),(5772,1),(5778,1),(5781,1),(5784,1),(5832,1),(5834,1),(5851,1),(5878,1),(5880,1),(5882,1),(5894,1),(5905,1),(5906,1),(5936,1),(5939,1),(5979,1),(5991,1),(6000,1),(6039,1),(6047,1),(6048,1),(6050,1),(6096,1),(6097,1),(6100,1),(6104,1),(6106,1),(6118,1),(6135,1),(6137,1),(6157,1),(6167,1),(6173,1),(6174,1),(6186,1),(6188,1),(6193,1),(6206,1),(6764,1),(6772,1),(6804,1),(6817,1),(6818,1),(6826,1),(6828,1),(6864,1),(6869,1),(6886,1),(6903,1),(6938,1),(6980,1),(7002,1),(7004,1),(7009,1),(7011,1),(7017,1),(7039,1),(7041,1),(7053,1),(7055,1),(7072,1),(7077,1),(7080,1),(7081,1),(7083,1),(7102,3),(7103,1),(7124,4),(7125,1),(7131,4),(7137,1),(7160,1),(7170,1),(7199,1),(7204,1),(7206,1),(7222,1),(7241,1),(7242,1),(7244,1),(7245,1),(7716,1),(7771,1),(7773,1),(7779,1),(7783,1),(7814,1),(7848,1),(7849,1),(7902,1),(7907,1),(7909,1),(7932,1),(7946,1),(7984,1),(7985,1),(7990,1),(8012,1),(8022,1),(8040,4),(8044,1),(8046,1),(8050,1),(8059,1),(8068,1),(8075,1),(8079,1),(8106,1),(8545,1),(8556,1),(8559,1),(8594,1),(8625,1),(8630,1),(8664,1),(8709,1),(8754,1),(8765,1),(9106,1)}
3428:{1,2,3,7}:{(2852,1),(2894,1),(2918,1),(2952,1),(2954,1),(3700,1),(3702,1),(3965,1),(4597,1),(5070,1),(5071,1),(6047,1),(8545,1)}
3429:{1,2,3}:{(2792,1),(2853,1),(2895,1),(3583,1),(3586,1),(5024,1)}
3430:{5,7}:{(2920,1),(2924,1)}
3431:{3,5,6,7}:{(2921,1),(2922,1),(3705,1),(4001,1),(4890,1),(6863,1),(7121,1),(7248,1),(7824,1)}
3432:{5,7}:{(2919,1),(2923,1)}
3433:{4,5}:{(2926,1),(2937,1),(3970,1),(3976,1)}
3434:{4,5,7}:{(2925,1),(2939,1),(3709,1),(3968,1),(4862,1),(6012,1),(6016,1)}
3435:{4,5}:{(2927,1),(2938,1),(3974,1)}
3436:{4}:{(2950,1)}
3437:{1,4}:{(2949,1),(3749,1),(4862,1),(6832,1)}
3438:{3,4}:{(2951,1),(3726,1),(3849,1),(6832,1)}
3439:{3,4,7}:{(2925,1),(2948,1),(3748,1),(4000,1),(4005,1),(5102,1)}
3440:{3,4}:{(2926,1),(2947,1),(3976,1),(3998,1),(4006,1)}
3441:{3,4,6}:{(2927,1),(2946,1),(3743,1),(3747,1),(3974,1),(3999,1),(4004,1),(4870,1),(5106,1)}
3442:{3,7}:{(2929,1),(2960,1)}
3443:{3,7}:{(2928,1),(2958,1)}
3444:{1,3,5,7}:{(2930,1),(2959,1),(3757,1),(3981,1),(4890,1),(6973,1),(7172,1),(7249,1)}
3445:{3,5}:{(2935,1),(2955,1)}
3446:{1,3,4,5,7}:{(2936,1),(2957,1),(3751,1),(3975,1),(3979,1),(3992,1),(4862,1),(4878,1),(4890,1),(4991,1),(4996,1),(5010,1),(5745,1),(5757,1),(5888,1),(5971,1),(6016,1),(6045,1),(6049,1),(6118,1),(6124,1),(6130,1),(6133,1),(6136,1),(6146,1),(6829,1),(6973,1),(6978,1),(6980,1),(6984,1),(7124,1),(7127,1),(7180,1),(7190,1),(7197,1),(7249,1),(7908,1),(7909,1),(7917,1),(8040,1)}
3447:{3,5}:{(2934,1),(2956,1),(7124,1)}
3448:{3,4,6}:{(2929,1),(2933,1),(2961,1),(3754,1),(3977,1),(3997,1),(4863,1),(4870,1),(4897,1),(5099,1),(5767,1),(5770,1),(6008,1),(6013,1),(6039,1),(6761,1),(6863,1),(6864,1),(7102,1),(7248,1),(7720,1),(7787,1),(7788,1),(7795,1),(7796,2),(7954,1)}
3449:{3,4,6}:{(2928,1),(2932,1),(2963,1),(3754,1),(3972,1),(3978,1),(3995,1),(4863,1),(5098,1),(6008,1),(6863,1),(7248,1),(7796,1)}
3450:{1,3,4,6}:{(2930,1),(2931,1),(2962,1),(3761,1),(3971,1),(3996,1),(4997,1),(5011,1),(5119,1),(5891,1),(5992,1),(6020,1),(6137,1),(6151,1),(6228,1),(6863,1),(7177,1),(7796,1),(7954,1),(8078,1),(8647,1),(8660,1),(9086,1)}
3451:{2,5,6}:{(2920,1),(2938,1),(2944,1),(3969,1),(3983,1),(4635,1),(5107,1),(6776,1)}
3452:{2,3,5,6}:{(2921,1),(2939,1),(2943,1),(3770,1),(3968,1),(4008,1),(4871,1),(5113,1),(6225,1),(7248,1)}
3453:{2,5,6}:{(2919,1),(2937,1),(2945,1),(3970,1),(3984,1)}
3454:{2,4,6,7}:{(2924,1),(2940,1),(2944,1),(3774,1),(3798,1),(3983,1),(4647,1),(4850,1),(4856,1),(5940,1),(6805,1),(7014,1)}
3455:{2,6,7}:{(2923,1),(2942,1),(2945,1),(3984,1)}
3456:{2,3,6,7}:{(2922,1),(2941,1),(2943,1),(3780,1),(4015,1),(5102,1),(6057,1),(8612,1)}
3457:{2,3,6}:{(2929,1),(2951,1),(2968,1),(3973,1),(3989,1),(4687,1),(6761,1)}
3458:{2,3,6}:{(2928,1),(2950,1),(2967,1),(3972,1),(3991,1)}
3459:{1,2,3,5,6}:{(2930,1),(2949,1),(2969,1),(3819,1),(3971,1),(3990,1),(3996,1),(4868,1),(4943,1),(5108,1),(6020,1),(6226,1),(7042,1),(7769,1),(7954,1),(9456,1)}
3460:{1,2,3,5,7}:{(2931,1),(2949,1),(2953,1),(2972,1),(3822,1),(3988,1),(3996,1),(5064,1),(5108,1),(5127,1),(5959,1),(6005,1),(6188,1),(6233,1),(6808,1),(6930,1),(7066,1),(7092,1),(7221,1),(7249,1),(7769,1),(8701,1),(9107,1),(9456,1)}
3461:{2,3,5,7}:{(2933,1),(2951,1),(2952,1),(2970,1),(3821,1),(3987,1),(3989,1),(3994,1),(3997,1),(4693,1),(4901,1),(4934,1),(4951,1),(4961,1),(5096,1),(5109,1),(5853,1),(5855,1),(6047,1),(6055,1),(6061,1),(6079,1),(6100,1),(6902,1),(6903,1),(6915,1),(6928,1),(6948,1),(7118,1),(7124,1),(7131,1),(7160,1),(7729,1),(7836,1),(7837,1),(7847,1),(7848,1),(7850,1),(7853,1),(8040,1),(8041,1),(8054,1),(8500,1),(8630,1),(9045,1)}
3462:{2,3,5,7}:{(2932,1),(2950,1),(2954,1),(2971,1),(3821,1),(3986,1),(3991,1),(3993,1),(3995,1),(4951,1),(5095,1),(5107,1),(6055,1)}
3463:{1,2,3,6,7}:{(2936,1),(2953,1),(2973,1),(3825,1),(3992,1),(3996,1),(4000,1),(4939,1),(4954,1),(5069,1),(5093,1),(5113,1),(5817,1),(5969,1),(6075,1),(6188,1),(6191,1),(6233,1),(7052,1),(7131,1),(7217,1),(7219,1)}
3464:{2,3,6}:{(2935,1),(2954,1),(2974,1),(3993,1),(3998,1),(5855,1)}
3465:{2,3,6}:{(2934,1),(2952,1),(2975,1),(3994,1),(4695,1),(5855,1),(6902,1),(6903,1),(7124,1)}
3466:{1,4,5,6}:{(2921,1),(2957,1),(2962,1),(3968,1),(4008,1),(4853,1),(4986,1),(5741,1),(5953,1),(6112,1)}
3467:{1,4,5,6}:{(2920,1),(2956,1),(2961,1),(3715,1),(3852,1),(3969,1),(3977,1),(4003,1),(4007,1),(4848,1),(4849,1),(4964,1),(4965,1),(4975,1),(5099,1),(5121,1),(5860,1),(5861,1),(6008,1),(6009,1),(6013,1),(6104,1),(6109,1),(6122,1),(6775,1),(6776,1),(6823,1),(6825,1),(6954,1),(6957,1),(7094,1),(7162,1),(7164,1),(7168,1),(7173,1),(7721,1),(7748,1),(7754,1),(7787,1),(7788,1),(8071,1),(8575,1),(9072,1)}
3468:{1,4,5,6}:{(2919,1),(2955,1),(2963,1),(3715,1),(3852,1),(3970,1),(3978,1),(4002,1),(4009,1),(4975,1),(5098,1),(5119,1)}
3469:{1,4,6,7}:{(2924,1),(2960,1),(2961,1),(2966,1),(3713,1),(3982,1),(4003,1),(4608,1),(4740,1),(4850,1),(4856,1),(4861,1),(4864,1),(4978,1),(4982,1),(6008,1),(6018,1),(6104,1),(6119,1),(6123,1),(6127,1),(6803,1),(6805,1),(6828,1),(6829,2),(7162,1),(7748,1),(7787,1),(7788,1),(7792,1),(7796,1),(7806,1),(7908,1),(7909,1),(7917,1),(8483,1),(8517,1)}
3470:{1,4,6,7}:{(2922,1),(2959,1),(2962,1),(2965,1),(4015,1),(4990,1),(6829,1),(8647,1)}
3471:{1,4,6,7}:{(2923,1),(2958,1),(2963,1),(2964,1),(3713,1),(3980,1),(4002,1),(4013,1),(4608,1),(4740,1),(6829,1)}
3472:{1,2,5,7}:{(2939,1),(2957,1),(2973,1),(3896,1),(4008,1),(4914,1),(4991,1),(5108,1),(5792,1),(6124,1),(7130,1),(7249,1)}
3473:{1,2,5}:{(2937,1),(2955,1),(2974,1),(3779,1),(3993,1),(5107,1)}
3474:{1,2,5}:{(2938,1),(2956,1),(2975,1),(3779,1),(3994,1),(4757,1),(4910,1),(6061,1),(7869,1)}
3475:{1,2,7}:{(2942,1),(2958,1),(2967,1),(3991,1)}
3476:{1,2,5,7}:{(2941,1),(2959,1),(2969,1),(3902,1),(4015,1),(5095,1),(6188,1)}
3477:{1,2,4,7}:{(2940,1),(2960,1),(2968,1),(3901,1),(3922,1),(3989,1),(4764,1),(4864,1),(4982,1),(5798,1),(6803,1),(7053,1)}
3478:{1,2,6}:{(2945,1),(2963,1),(2971,1),(3777,1),(3995,1),(4640,1),(6887,1)}
3479:{1,2,4,6}:{(2944,1),(2961,1),(2970,1),(3777,1),(3900,1),(3926,1),(3997,1),(4007,1),(4640,1),(4759,1),(4824,1),(4863,1),(4918,1),(4920,1),(4924,1),(4975,1),(5099,1),(5729,1),(5799,1),(6008,1),(6104,1),(6167,1),(6186,1),(6187,1),(6886,1),(6887,3),(7016,2),(7017,1),(7102,1),(7129,1),(7162,1),(7168,1),(7748,1),(7795,1),(7796,2),(7841,1),(7864,1),(7982,1),(7984,1),(8098,1),(8545,1),(8600,1),(8618,1),(9096,1)}
3480:{1,2,6}:{(2943,1),(2962,1),(2972,1),(5119,1),(6887,1)}
3481:{1,2,4,6}:{(2927,1),(2978,1),(3787,1),(3844,1),(3911,1),(3999,1),(4004,1),(4010,1),(4652,1),(4653,1),(4703,1),(4706,1),(4920,1),(4975,1),(5071,1),(5969,1),(5970,1),(6187,1),(6984,1)}
3482:{1,2,4}:{(2926,1),(2977,1),(3787,1),(3844,1),(3998,1),(4006,1),(5071,1)}
3483:{1,2,4,7}:{(2925,1),(2976,1),(3912,1),(4000,1),(4005,1),(4923,1),(4980,1),(6191,1)}
3484:{1,6}:{(2946,1),(3946,1),(3948,1)}
3485:{1,5,7}:{(2948,1),(3947,1),(4005,1),(4991,1),(9491,1)}
3486:{1}:{(2947,1)}
3487:{2,3,6,7}:{(2994,1),(3104,1),(3159,1),(3163,1),(4017,1),(4155,1),(4156,1),(4322,1),(4323,1),(4509,1),(4511,1),(5253,1),(5257,1),(5406,1),(5411,1),(5476,1),(5533,1),(5535,1),(6243,1),(6322,1),(6383,1),(6638,1),(7368,1),(7431,1),(7434,1),(7601,1),(7606,1),(7631,1),(7632,1),(8162,1)}
3488:{2,3,7}:{(2983,1),(3105,1),(3166,1),(4018,1),(4159,1),(5407,1)}
3489:{1,3,5,7}:{(2980,1),(3065,1),(3158,1),(3164,1),(4021,1),(4231,1),(4323,1),(5472,1),(5679,1),(5680,1),(6247,1),(7418,1),(7577,1),(7691,1),(8184,1)}
3490:{1,3,5,6,7}:{(2988,1),(3066,1),(3157,1),(3161,1),(3164,1),(4024,1),(4152,1),(4157,1),(4162,1),(4230,1),(4311,1),(4322,1),(4323,1),(4505,1),(4508,1),(5137,1),(5393,1),(5467,1),(5469,1),(5471,1),(5472,1),(5476,1),(5562,1),(5563,1),(5582,1),(5583,1),(5585,1),(5588,1),(5679,1),(5680,1),(6242,1),(6313,1),(6322,1),(6437,1),(6438,1),(6447,1),(6592,1),(6596,1),(6597,1),(6663,1),(6681,1),(7254,1),(7270,1),(7300,1),(7313,1),(7360,1),(7368,1),(7418,1),(7422,1),(7469,1),(7470,1),(7476,1),(7554,1),(7577,1),(7584,1),(7602,1),(7606,1),(7627,1),(7691,1),(7703,1),(8161,1),(8162,1),(8182,1),(8195,1),(8353,1),(8392,1),(8395,1),(8450,1)}
3491:{1,3,5,7}:{(2987,1),(3065,1),(3157,1),(3165,1),(4019,1),(4231,1),(4311,1),(5327,1),(5679,1),(5680,1),(6689,1)}
3492:{2,3,6,7}:{(2986,1),(3104,1),(3160,1),(3166,1),(4020,1),(4153,1),(4159,1),(4509,1),(4511,1),(5407,1),(5410,1)}
3493:{2,3,5,6}:{(2991,1),(3103,1),(3155,1),(3159,1),(4025,1),(4155,1),(4163,1),(4248,1),(4311,1),(4322,1),(4325,1),(4509,1),(4512,1),(5130,1),(5156,1),(5189,1),(5195,1),(5246,1),(5253,1),(5260,1),(5411,1),(5467,1),(5469,1),(5470,1),(5495,1),(5532,1),(5533,1),(5543,1),(6309,1),(6311,1),(6374,1),(6383,1),(6593,1),(6612,1),(6628,1),(6638,1),(7267,1),(7397,1),(7431,1),(7584,1),(7601,1),(7606,1),(8162,1),(8206,1),(8233,1)}
3494:{1,3}:{(2982,1),(3064,1),(4325,1)}
3495:{2,3,7}:{(2985,1),(3105,1),(3163,1),(4031,1),(4156,1),(4323,1)}
3496:{1,3}:{(2981,1),(3064,1),(4030,1),(6234,1),(9519,1)}
3497:{1,3,5,6,7}:{(2989,1),(3066,1),(3158,1),(3162,1),(3165,1),(4028,1),(4154,1),(4158,1),(4161,1),(4230,1),(4505,1),(4508,1),(5129,1),(5325,1),(5393,1),(5562,1),(5563,1),(5582,1),(5585,1),(5679,1),(5680,1),(6437,1),(6438,1),(6447,1),(6454,1),(6459,1),(6663,1),(6689,1),(7253,1),(7469,1),(7703,1),(8155,1),(8196,1),(8353,1)}
3498:{2,3,5}:{(2990,1),(3106,1),(3156,1),(4022,1),(4160,1),(4249,1),(4325,1),(5191,1),(5262,1)}
3499:{1,3,6}:{(2993,1),(3063,1),(3162,1),(4027,1),(4229,1),(6248,1),(8353,1)}
3500:{1,3,6}:{(2984,1),(3063,1),(3161,1),(4229,1),(4322,1),(4325,1),(5195,1),(7491,1),(7606,1),(8160,1),(8162,1),(8353,1)}
3501:{2,3,5}:{(2992,1),(3106,1),(3155,1),(4026,1),(4163,1),(4249,1),(4311,1),(5159,1),(5495,1)}
3502:{2,3,5,6}:{(2979,1),(3103,1),(3156,1),(3160,1),(4016,1),(4153,1),(4160,1),(4248,1),(4509,1),(4512,1),(5135,1),(5155,1),(5410,1),(5543,1)}
3503:{4,5}:{(2998,1),(2999,1),(4056,1),(4065,1),(5224,1),(5432,1)}
3504:{4,5,7}:{(2995,1),(3002,1),(3180,1),(4039,1),(4064,1),(4270,1),(5432,1),(5440,1),(6338,1),(6568,1),(6570,1),(7584,1),(8197,1)}
3505:{4,5,7}:{(2997,1),(3001,1),(3180,1),(4036,1),(4066,1)}
3506:{4,5}:{(2996,1),(3000,1),(4038,1),(4059,1),(4067,1),(5225,1),(6339,1)}
3507:{4}:{(3053,1)}
3508:{4,7}:{(3051,1),(3189,1),(4043,1)}
3509:{4,7}:{(3052,1),(3189,1),(4040,1),(6302,1)}
3510:{4}:{(3054,1)}
3511:{3,5,6}:{(3002,1),(3005,1),(3171,1),(4039,1),(4132,1),(4269,1),(5432,1),(5660,1),(5661,1),(6309,1),(6566,2),(7504,1),(7584,1),(8197,1),(8200,1)}
3512:{3,5,6}:{(3001,1),(3006,1),(3171,1),(4036,1),(4134,1),(5141,1),(5660,1),(5661,1),(6566,1)}
3513:{5,6}:{(3000,1),(3003,1),(4038,1),(4047,1),(6339,1),(7377,1)}
3514:{5,6}:{(2999,1),(3004,1),(4045,1)}
3515:{3,4,6,7}:{(3005,1),(3008,1),(3177,1),(3196,1),(4044,1),(4084,1),(4138,1),(4280,1),(4284,1),(4294,1),(4316,1),(5167,1),(5436,1),(5445,1),(5450,1),(5476,1),(5660,1),(5661,1),(6323,1),(6412,1),(6570,1),(6596,1),(7500,1),(7591,1)}
3516:{3,6,7}:{(3006,1),(3010,1),(3177,1),(4137,1),(5660,1),(5661,1)}
3517:{4,6,7}:{(3004,1),(3007,1),(3196,1),(4045,1),(4085,1),(5166,1)}
3518:{6,7}:{(3003,1),(3009,1),(4047,1),(7377,1)}
3519:{4,5,6}:{(3013,1),(3017,1),(3203,1),(4043,1),(4089,1),(4270,1),(5440,1)}
3520:{4,6}:{(3012,1),(3018,1),(4051,1),(4088,1)}
3521:{4,6}:{(3011,1),(3015,1),(4091,1),(9518,1)}
3522:{4,5,6}:{(3014,1),(3016,1),(3203,1),(4042,1),(4048,1),(4090,1),(4270,1)}
3523:{3,5,7}:{(3016,1),(3021,1),(3070,1),(4045,1),(4048,1),(4311,1),(5247,1),(6307,1)}
3524:{3,5,6,7}:{(3017,1),(3020,1),(3069,1),(3218,1),(4050,1),(4150,1),(4290,1),(4292,1),(5229,1),(6306,1),(7504,1),(7584,1),(8198,1)}
3525:{3,5,7}:{(3018,1),(3022,1),(3067,1),(4047,1),(4051,1),(4311,1),(5184,1)}
3526:{3,5,6,7}:{(3015,1),(3019,1),(3068,1),(3218,1),(4049,1),(4148,1),(4290,1),(5320,1)}
3527:{3,4,7}:{(2997,1),(3065,1),(3231,1),(4019,1),(4117,1),(6570,1),(8126,1)}
3528:{3,4,6}:{(2998,1),(3063,1),(3230,1),(4027,1),(4053,1),(4056,1),(4116,1),(5178,1),(5224,1),(6248,1)}
3529:{3,4}:{(2996,1),(3064,1),(4030,1),(4059,1),(4119,1),(5225,1),(6234,1)}
3530:{3,4,6,7}:{(2995,1),(3066,1),(3230,1),(3231,1),(4028,1),(4055,1),(4058,1),(4118,1),(4305,1),(4307,1),(4318,1),(4319,1),(5177,1),(5455,1),(5459,1),(6299,1),(6570,1),(7331,1),(8121,1)}
3531:{4,6}:{(3023,1),(3032,1),(4073,1)}
3532:{4,6}:{(3024,1),(3033,1),(4075,1),(4093,1)}
3533:{2,4,6}:{(3025,1),(3034,1),(3185,1),(4074,1),(4094,1),(6287,1),(6572,1),(6577,1),(6612,1)}
3534:{2,4,6}:{(3026,1),(3031,1),(3185,1),(4072,1),(4278,1),(4288,1),(6288,1),(6572,1),(6577,1),(6612,1)}
3535:{4,5,7}:{(3024,1),(3030,1),(3037,1),(4032,1),(4063,1),(4070,1),(4075,1),(4097,1),(5165,1),(5206,1)}
3536:{2,4,5,7}:{(3026,1),(3028,1),(3036,1),(3187,1),(4034,1),(4062,1),(4071,1),(4072,1),(4289,1),(5205,1),(5226,1),(5432,1),(5434,1),(6340,1),(6576,1),(7325,1),(7327,1),(7584,1),(8197,1)}
3537:{2,4,5,7}:{(3025,1),(3029,1),(3038,1),(3187,1),(4033,1),(4061,1),(4069,1),(4074,1),(4098,1),(5166,1),(5170,1),(5207,1),(6576,1),(7325,1),(7584,1),(7617,1),(8428,1)}
3538:{4,5,7}:{(3023,1),(3027,1),(3035,1),(4060,1),(4068,1),(4073,1),(4289,1),(5204,1),(5432,1),(7327,1),(8197,1)}
3539:{4,6}:{(3027,1),(3056,1),(4060,1)}
3540:{2,4,6}:{(3029,1),(3057,1),(3191,1),(4042,1),(4061,1)}
3541:{4,6}:{(3030,1),(3058,1),(4063,1)}
3542:{2,4,6}:{(3028,1),(3055,1),(3191,1),(4043,1),(4062,1)}
3543:{2,4}:{(2996,1),(3041,1),(4067,1),(4119,1),(5225,1),(8137,1)}
3544:{2,4,6}:{(2998,1),(3039,1),(3251,1),(4065,1),(4079,1),(4116,1),(4340,1),(5224,1)}
3545:{2,4,6,7}:{(2995,1),(3042,1),(3251,1),(3252,1),(4064,1),(4077,1),(4118,1),(4339,1),(4340,1),(4347,1),(4349,1),(5212,1),(5218,1),(5227,1),(5489,1),(5495,1),(5497,1),(5499,1),(5500,1),(6346,1),(6349,1),(6607,1),(6612,1),(6615,1),(7385,1),(7387,2),(8237,1),(8239,1),(8241,1)}
3546:{2,4,7}:{(2997,1),(3040,1),(3252,1),(4066,1),(4117,1),(4339,1),(6346,1),(7387,1)}
3547:{2,3,5,7}:{(3002,1),(3046,1),(3235,1),(3253,1),(4034,1),(4062,1),(4064,1),(4082,1),(4198,1),(4296,1),(5175,1),(5190,1),(5205,1),(5246,1),(5432,1),(5504,1),(5673,1),(6291,1),(6309,1),(6340,1),(6580,1),(6620,1),(6749,1),(7260,1),(7380,1),(7584,1),(8197,1)}
3548:{2,3,5,7}:{(3001,1),(3044,1),(3235,1),(3253,1),(4035,1),(4060,1),(4066,1),(4083,1),(4199,1),(4296,1),(5174,1),(5188,1),(5204,1),(5208,1),(5244,1),(5432,1),(5673,1),(6290,1),(6307,1),(6335,1),(6340,1),(6346,1),(6371,1),(6375,1),(6486,1),(6580,1),(6749,1),(7256,1),(7294,1),(7383,1),(7387,1),(7422,1),(7584,1),(8197,1),(8258,1),(9339,1),(9557,1)}
3549:{2,5}:{(3000,1),(3045,1),(4032,1),(4063,1),(6339,1)}
3550:{2,5}:{(2999,1),(3043,1),(4033,1)}
3551:{2,3,6}:{(3005,1),(3036,1),(3239,1),(4071,1),(4202,1),(4340,1),(5489,1),(5660,1),(5661,1),(6607,2),(6612,1),(6696,1),(8237,1),(8239,1)}
3552:{2,3,6}:{(3006,1),(3035,1),(3239,1),(4068,1),(4203,1),(5252,1),(5660,1),(5661,1),(6607,1)}
3553:{2,6}:{(3004,1),(3038,1)}
3554:{2,6}:{(3003,1),(3037,1),(4070,1),(7377,1)}
3555:{2,7}:{(3007,1),(3034,1)}
3556:{2,3,5,7}:{(3010,1),(3032,1),(3240,1),(3262,1),(4073,1),(4087,1),(4207,1),(5204,1),(5259,1),(6371,1),(7387,1)}
3557:{2,3,5,7}:{(3008,1),(3031,1),(3240,1),(3262,1),(4072,1),(4084,1),(4206,1),(4339,1),(5205,1),(5213,1),(5257,1),(5406,1),(5490,1),(5512,1),(6362,1),(6480,1),(7387,1)}
3558:{2,7}:{(3009,1),(3033,1),(4075,1)}
3559:{2,5,7}:{(3013,1),(3042,1),(3269,1),(4077,1),(4089,1)}
3560:{2,5}:{(3012,1),(3041,1),(4076,1),(4088,1),(8137,1)}
3561:{2,5,7}:{(3011,1),(3040,1),(3269,1),(4078,1),(4091,1),(5208,1),(6346,1)}
3562:{2,5}:{(3014,1),(3039,1),(4079,1)}
3563:{2,3,5}:{(3025,1),(3047,1),(3210,1),(4061,1),(4214,1),(4337,1),(5488,1),(6487,1),(7380,1),(7584,1),(8428,1)}
3564:{3,4,5}:{(3023,1),(3048,1),(3265,1),(4060,1),(4114,1),(4215,1),(4279,1),(4310,1),(5174,1),(5244,1),(5475,1),(6301,1),(6302,1),(7340,1),(7489,1),(8325,1)}
3565:{3,5}:{(3024,1),(3050,1),(4063,1),(4212,1)}
3566:{2,3,4,5}:{(3026,1),(3049,1),(3210,1),(3265,1),(4062,1),(4113,1),(4213,1),(4279,1),(4297,1),(4310,1),(4337,1),(4361,1),(5175,1),(5209,1),(5235,1),(5246,1),(5475,1),(5498,1),(5504,1),(5507,1),(5519,1),(5527,1),(5603,1),(6299,1),(6302,1),(6304,1),(6346,1),(6347,1),(6374,1),(6488,1),(6574,1),(6590,1),(6627,1),(6635,1),(6637,1),(6648,1),(7349,1),(7406,1),(7407,1),(7489,1),(7584,1),(7608,1),(8432,1)}
3567:{2,3,4,7}:{(3029,1),(3047,1),(3060,1),(3214,1),(4053,1),(4074,1),(4098,1),(4222,1),(4349,1),(4367,1),(5258,1),(5495,1),(5500,1),(5512,1),(5535,1),(6349,1),(6511,1),(6576,1),(6645,1),(7275,1),(7385,1),(7435,1),(7617,1)}
3568:{3,4,7}:{(3030,1),(3050,1),(3062,1),(4052,1),(4075,1),(4097,1),(4221,1),(5256,1)}
3569:{3,4,7}:{(3027,1),(3048,1),(3059,1),(4073,1),(4120,1),(4223,1),(4287,1),(5259,1),(5481,1),(6302,1),(7338,1),(7489,1),(8323,1)}
3570:{2,3,4,7}:{(3028,1),(3049,1),(3061,1),(3214,1),(4055,1),(4072,1),(4123,1),(4220,1),(4287,1),(4349,1),(4367,1),(5222,1),(5257,1),(5455,1),(5481,1),(5495,1),(5512,1),(5515,1),(5535,1),(5620,1),(6362,1),(6388,1),(6513,1),(6576,1),(6645,1),(6650,1),(7384,1),(8119,1)}
3571:{2,3,5,6}:{(3017,1),(3051,1),(3055,1),(3117,1),(4043,1),(4062,1),(4089,1),(4110,1),(4225,1),(5175,1),(5195,1),(5241,1),(5246,1),(5504,1)}
3572:{2,3,5,6}:{(3018,1),(3054,1),(3058,1),(3116,1),(4041,1),(4063,1),(4080,1),(4088,1),(4107,1),(4108,1),(5172,1),(5179,1),(5210,1),(5228,1),(5242,1),(5249,1),(6339,1),(6342,1),(7261,1),(7377,1),(7428,1),(8137,1),(8207,1)}
3573:{2,3,5,6}:{(3016,1),(3053,1),(3057,1),(3115,1),(4042,1),(4061,1),(4081,1),(4090,1),(4104,1),(4109,1),(5173,1),(5178,1),(5240,1),(5504,1)}
3574:{2,3,5,6}:{(3015,1),(3052,1),(3056,1),(3118,1),(4040,1),(4060,1),(4091,1),(4111,1),(4227,1),(5174,1),(5192,1),(5208,1),(5243,1),(5244,1),(5415,1),(6346,1),(6375,1),(6486,1),(7253,1),(8146,1),(8873,1),(9339,1),(9518,1)}
3575:{3}:{(3121,1)}
3576:{3}:{(3119,1)}
3577:{3,5,7}:{(3122,1),(3283,1),(3285,1),(4055,1),(4110,1),(4230,1),(5175,1)}
3578:{3,5,7}:{(3120,1),(3283,1),(3285,1),(4054,1),(4111,1),(4231,1),(5174,1)}
3579:{2,3,6,7}:{(3022,1),(3058,1),(3062,1),(3125,1),(4086,1),(4103,1),(4107,1),(4108,1),(4386,1),(5242,1),(5478,1),(6342,1),(6386,1),(7377,1),(7386,1),(7428,1),(7490,1),(8321,1),(8405,1),(9515,1)}
3580:{2,3,6,7}:{(3021,1),(3057,1),(3060,1),(3124,1),(4085,1),(4104,1),(4109,1),(4359,1),(4386,1),(5478,1),(5495,1),(6390,1),(7271,1)}
3581:{2,3,6,7}:{(3019,1),(3056,1),(3059,1),(3123,1),(4101,1),(4111,1),(4246,1),(4357,1),(5243,1),(5450,1),(6346,1),(7387,1),(7434,1)}
3582:{2,3,6,7}:{(3020,1),(3055,1),(3061,1),(3126,1),(4110,1),(4247,1),(4357,1),(4359,1),(5450,1),(5489,1),(6392,1),(6638,1),(6696,1),(7278,1),(7627,1),(8240,1)}
3583:{3}:{(3129,1)}
3584:{2,3,4}:{(3128,1),(3232,1),(3294,1),(4115,1),(4332,1),(4387,1),(8234,1)}
3585:{3,4}:{(3127,1),(3294,1),(4112,1)}
3586:{2,3}:{(3130,1),(3232,1),(4328,1)}
3587:{1,5,7}:{(3002,1),(3085,1),(3319,1),(4132,1),(4391,1),(5562,1),(6662,1),(7524,1)}
3588:{1,5,7}:{(3001,1),(3083,1),(3319,1),(4134,1),(6486,1),(7294,1),(7584,1)}
3589:{1,5}:{(3000,1),(3086,1),(4160,1)}
3590:{1,5}:{(2999,1),(3084,1),(4163,1),(5543,1)}
3591:{1,4,6}:{(3005,1),(3078,1),(3315,1),(4132,1),(4152,1),(4202,1),(4415,1),(5563,1),(7703,1)}
3592:{1,4,6}:{(3004,1),(3077,1),(3315,1),(4135,1),(4155,1),(4200,1),(5136,1),(5287,1)}
3593:{1,6}:{(3003,1),(3076,1),(4153,1)}
3594:{1,6}:{(3006,1),(3075,1)}
3595:{1,4,7}:{(3007,1),(3071,1),(3317,1),(4156,1),(4204,1),(5288,1)}
3596:{1,7}:{(3009,1),(3072,1),(4159,1)}
3597:{1,5,7}:{(3010,1),(3073,1),(3321,1),(4137,1),(5679,1)}
3598:{1,4,5,7}:{(3008,1),(3074,1),(3317,1),(3321,1),(4138,1),(4157,1),(4206,1),(4401,1),(4414,1),(4416,1),(4418,1),(5290,1),(5542,1),(5544,1),(5554,1),(5573,1),(5679,1),(5680,1),(6409,1),(6438,1),(6570,1),(6663,1),(7542,1),(7642,1)}
3599:{1,4,5}:{(3012,1),(3081,1),(3088,1),(4125,1),(4140,1),(4171,1),(4208,1),(6671,1),(8173,1)}
3600:{1,4,5,7}:{(3013,1),(3080,1),(3090,1),(3328,1),(4124,1),(4142,1),(4169,1),(4209,1),(5354,1),(7316,1),(7466,1),(8284,1)}
3601:{1,4,5,7}:{(3011,1),(3082,1),(3087,1),(3328,1),(4127,1),(4143,1),(4168,1),(4210,1),(5275,1),(5352,1),(6486,1)}
3602:{1,4,5}:{(3014,1),(3079,1),(3089,1),(4126,1),(4170,1),(4211,1),(6671,1)}
3603:{1,4}:{(2996,1),(3141,1),(4022,1)}
3604:{1,4,6}:{(2998,1),(3140,1),(3337,1),(4025,1),(4126,1),(4146,1),(6671,1),(7463,1),(8203,1)}
3605:{1,4,6,7}:{(2995,1),(3139,1),(3337,1),(3338,1),(4017,1),(4124,1),(4145,1),(4403,1),(4406,1),(4418,1),(4419,1),(5276,1),(5286,1),(5290,1),(5292,1),(5354,1),(5547,1),(5554,1),(6260,1),(6262,1),(6288,1),(6410,1),(6429,1),(6508,1),(6510,1),(6570,1),(6574,1),(6575,1),(6576,1),(6658,1),(6659,1),(7354,1),(7586,1),(7588,1),(7591,1),(7592,1),(7642,1),(7646,1),(8202,1),(8284,1),(8301,1),(8419,1),(8448,1)}
3606:{1,4,7}:{(2997,1),(3142,1),(3338,1),(4031,1),(5352,1),(6508,1),(6576,1)}
3607:{1,3,5,6}:{(3016,1),(3089,1),(3096,1),(3318,1),(4135,1),(4141,1),(4151,1),(4311,1),(4391,1),(4441,1),(5247,1),(5467,1),(5469,1),(5543,1),(5561,1),(5562,1),(6308,1),(6446,1),(6456,1),(6597,1),(6651,1),(6679,1),(7474,1),(7584,1),(7604,1),(8207,1),(8233,1),(8335,1),(8940,1),(8954,1)}
3608:{1,5,6}:{(3015,1),(3087,1),(3097,1),(4143,1),(6486,1)}
3609:{1,5,6}:{(3017,1),(3090,1),(3098,1),(4391,1),(5562,1)}
3610:{1,3,5,6}:{(3018,1),(3088,1),(3095,1),(3318,1),(4133,1),(4140,1),(4149,1),(4311,1),(4441,1),(5142,1),(6457,1),(7474,1)}
3611:{3,6}:{(3072,1),(3091,1),(4159,1),(4167,1)}
3612:{1,3,5,6}:{(3073,1),(3094,1),(3220,1),(3346,1),(4154,1),(4158,1),(4164,1),(5129,1)}
3613:{3,6}:{(3071,1),(3092,1),(4156,1)}
3614:{1,3,5,6}:{(3074,1),(3093,1),(3220,1),(3346,1),(4152,1),(4157,1),(4165,1),(4324,1),(5467,1),(5473,1),(5477,1),(6313,1),(7300,1),(7606,1)}
3615:{1,3,5,7}:{(3078,1),(3093,1),(3107,1),(3221,1),(4152,1),(4326,1),(5190,1),(5472,1),(5544,1),(6315,1),(6317,1)}
3616:{3,5,7}:{(3076,1),(3091,1),(3109,1),(4153,1),(4159,1),(4160,1),(4174,1)}
3617:{3,5,7}:{(3077,1),(3092,1),(3110,1),(4155,1),(4156,1),(4163,1),(5189,1),(6322,1)}
3618:{1,3,5,7}:{(3075,1),(3094,1),(3108,1),(3221,1),(4154,1),(4175,1),(5544,1),(6248,1),(6315,1),(7257,1),(7271,1),(9523,1)}
3619:{1,3,4,5}:{(3093,1),(3111,1),(3223,1),(3329,1),(4131,1),(4165,1),(4241,1),(4330,1),(4423,1),(5271,1),(5330,1),(5440,1),(6299,1),(7333,1)}
3620:{1,4,5}:{(3094,1),(3113,1),(3223,1),(4129,1),(4164,1),(4240,1),(8169,1)}
3621:{4,5}:{(3091,1),(3112,1),(4167,1),(4179,1),(4243,1)}
3622:{3,4,5}:{(3092,1),(3114,1),(3329,1),(4130,1),(4166,1),(4178,1),(4242,1),(5360,1),(6301,1)}
3623:{1,4,6,7}:{(3020,1),(3098,1),(3100,1),(3349,1),(4150,1),(4247,1),(4415,1),(5382,1),(5547,1),(6462,1),(8312,1)}
3624:{1,3,6,7}:{(3022,1),(3095,1),(3102,1),(3330,1),(4136,1),(4149,1),(4440,1),(5478,1),(8312,1)}
3625:{1,6,7}:{(3019,1),(3097,1),(3099,1),(4415,1)}
3626:{1,3,4,6,7}:{(3021,1),(3096,1),(3101,1),(3330,1),(3349,1),(4139,1),(4151,1),(4244,1),(4420,1),(4433,1),(4440,1),(4447,1),(5283,1),(5321,1),(5476,1),(5478,1),(5480,1),(5553,1),(5557,1),(6322,1),(6329,1),(6438,1),(6463,1),(6570,1),(7492,1),(8301,1),(8312,1),(8337,1),(8834,1),(8846,1),(8954,1)}
3627:{3,4,6}:{(3079,1),(3103,1),(3357,1),(4016,1),(4170,1),(4248,1),(6286,1)}
3628:{3,4,7}:{(3082,1),(3105,1),(3358,1),(4018,1),(4168,1),(4251,1),(5352,1),(6301,1)}
3629:{3,4}:{(3081,1),(3106,1),(4026,1),(4249,1)}
3630:{3,4,6,7}:{(3080,1),(3104,1),(3357,1),(3358,1),(4020,1),(4169,1),(4250,1),(4444,1),(4445,1),(5320,1),(5354,1),(6510,1)}
3631:{3,4,6}:{(3084,1),(3110,1),(3155,1),(4026,1),(4155,1),(4163,1),(5136,1)}
3632:{1,3,4,6,7}:{(3083,1),(3108,1),(3158,1),(3229,1),(3360,1),(4021,1),(4028,1),(4154,1),(4161,1),(4254,1),(4434,1),(5139,1),(5284,1),(5293,1),(5304,1),(5325,1),(5563,1),(5679,1),(6396,1),(6440,1),(6454,1),(6459,1),(6471,1),(6676,1),(6689,1),(6756,1),(7281,1),(7487,1),(7489,1),(7580,1),(7703,1),(8323,1)}
3633:{3,4,6}:{(3086,1),(3109,1),(3156,1),(4016,1),(4022,1),(4153,1),(4160,1)}
3634:{1,3,4,6,7}:{(3085,1),(3107,1),(3157,1),(3229,1),(3360,1),(4019,1),(4152,1),(4162,1),(4253,1),(4331,1),(4434,1),(5132,1),(5286,1),(5292,1),(5304,1),(5327,1),(5428,1),(5476,1),(5563,1),(5679,1),(6328,1),(6330,1),(6429,1),(6440,1),(6455,1),(6463,1),(6470,1),(6570,1),(6676,1),(6689,1),(6756,1),(7300,1),(7489,1),(7703,1),(8169,1),(8323,1)}
3635:{3,4,7}:{(3114,1),(3159,1),(3337,1),(4025,1),(4410,1),(5354,1),(6246,1),(6322,1),(6432,1),(6570,1),(6574,1),(6575,1),(6576,1),(7588,1),(8234,1),(8419,1)}
3636:{1,4,7}:{(3113,1),(3162,1),(3230,1),(4027,1),(4257,1),(6438,1),(8169,1)}
3637:{4,7}:{(3112,1),(3160,1),(4016,1)}
3638:{1,3,4,7}:{(3111,1),(3161,1),(3230,1),(3337,1),(4023,1),(4258,1),(4329,1),(4432,1),(6299,1),(6322,1),(6438,1),(6671,1),(7277,1),(7542,1),(8121,1),(8169,1),(8234,1),(8852,1)}
3639:{4,6}:{(3112,1),(3166,1),(4018,1),(4179,1),(5143,1)}
3640:{1,4,6}:{(3113,1),(3165,1),(3231,1),(4019,1),(4176,1),(4263,1),(4430,1),(8169,1)}
3641:{1,3,4,6}:{(3111,1),(3164,1),(3231,1),(3338,1),(4021,1),(4177,1),(4262,1),(4327,1),(4328,1),(4430,1),(4431,1),(5192,1),(5304,1),(5477,1),(5541,1),(5568,1),(5593,1),(6396,1),(6401,1),(6744,1),(7489,1),(8171,1)}
3642:{3,4,6}:{(3114,1),(3163,1),(3338,1),(4031,1),(4178,1),(4328,1),(4409,1),(5141,1),(5192,1),(5477,1),(5486,1),(6301,1),(7489,1)}
3643:{1,2,5,7}:{(3067,1),(3116,1),(3125,1),(3236,1),(4063,1),(4107,1),(4182,1),(4457,1),(5210,1),(5367,1),(6276,1),(6439,1),(6518,1),(6526,1),(8137,1),(8207,1),(8249,1),(8370,1)}
3644:{2,5,6,7}:{(3069,1),(3117,1),(3126,1),(3365,1),(4062,1),(4183,1),(4333,1),(5205,1),(6477,1),(6696,1),(6698,1),(7504,1),(7584,1),(8198,1),(8806,1)}
3645:{2,5,6,7}:{(3068,1),(3118,1),(3123,1),(3365,1),(4060,1),(4181,1),(4333,1),(5204,1),(5208,1),(6269,1),(6335,1),(6696,1),(8146,1),(8258,1),(8815,1)}
3646:{1,2,5,7}:{(3070,1),(3115,1),(3124,1),(3236,1),(4061,1),(4104,1),(4180,1),(4457,1),(6438,1),(6474,1),(6529,1),(6608,1)}
3647:{4,6}:{(3117,1),(3122,1),(4110,1)}
3648:{4,6}:{(3118,1),(3120,1),(4111,1),(9518,1)}
3649:{1,4,6}:{(3115,1),(3119,1),(3238,1),(4042,1),(4109,1),(4180,1),(4482,1),(6658,1),(7379,1),(8353,1)}
3650:{1,4,6}:{(3116,1),(3121,1),(3238,1),(4041,1),(4108,1),(4182,1),(4482,1),(7377,1),(8215,1),(8356,1)}
3651:{1,2,4,5}:{(3026,1),(3130,1),(3134,1),(3311,1),(4113,1),(4131,1),(4186,1),(4402,1),(5271,1),(5363,1),(6658,1),(7643,1),(8348,1)}
3652:{1,2,4,5}:{(3025,1),(3128,1),(3131,1),(3311,1),(4115,1),(4130,1),(4184,1),(4214,1),(5329,1),(6658,1),(7643,1),(7673,1)}
3653:{1,4,5}:{(3024,1),(3127,1),(3132,1),(4112,1),(4128,1),(4187,1),(4212,1)}
3654:{1,4,5}:{(3023,1),(3129,1),(3133,1),(4114,1),(4129,1),(4185,1)}
3655:{1,4,7}:{(3030,1),(3127,1),(3144,1),(4122,1),(4125,1),(4194,1),(4410,1),(5441,1),(7353,1)}
3656:{1,2,4,7}:{(3028,1),(3130,1),(3146,1),(3314,1),(4123,1),(4124,1),(4193,1),(5495,1),(6658,1)}
3657:{1,2,4,7}:{(3029,1),(3128,1),(3143,1),(3314,1),(4121,1),(4126,1),(4192,1),(4410,1),(5283,1),(5353,1),(5441,1),(5495,1),(5599,1),(6349,1),(6511,1),(6556,1),(6574,1),(6576,1),(6658,1),(7353,1),(7461,1),(7617,1),(7673,1),(8358,1),(8432,1)}
3658:{1,4,7}:{(3027,1),(3129,1),(3145,1),(4120,1),(4195,1)}
3659:{1,2,6}:{(3034,1),(3071,1),(3131,1),(4204,1),(4234,1)}
3660:{1,2,6}:{(3033,1),(3072,1),(3132,1),(4187,1),(4205,1),(4235,1)}
3661:{1,2,5,6}:{(3032,1),(3073,1),(3133,1),(3389,1),(4185,1),(4203,1),(4207,1),(5334,1)}
3662:{1,2,5,6}:{(3031,1),(3074,1),(3134,1),(3389,1),(4186,1),(4202,1),(4206,1),(4489,1),(5629,1),(6522,1),(6612,1)}
3663:{1,2,5,7}:{(3037,1),(3076,1),(3132,1),(3137,1),(4188,1),(4196,1),(4201,1),(4205,1),(4239,1),(6348,1),(7288,1),(7386,1),(7660,1)}
3664:{1,2,5,7}:{(3036,1),(3078,1),(3134,1),(3136,1),(4202,1),(5544,1)}
3665:{1,2,5,7}:{(3038,1),(3077,1),(3131,1),(3138,1),(4197,1),(4200,1),(4204,1),(4238,1),(5159,1),(6281,1),(7660,1)}
3666:{1,2,5,7}:{(3035,1),(3075,1),(3133,1),(3135,1),(4190,1),(4203,1),(5544,1),(6346,1),(7383,1),(7387,1)}
3667:{1,2}:{(3041,1),(3081,1),(4249,1)}
3668:{1,2,6}:{(3039,1),(3079,1),(3395,1),(4211,1),(4248,1),(5495,1)}
3669:{1,2,6,7}:{(3042,1),(3080,1),(3395,1),(3396,1),(4209,1),(4250,1),(4488,1),(4490,1),(7313,1),(7386,1),(7577,1),(8238,1)}
3670:{1,2,7}:{(3040,1),(3082,1),(3396,1),(4251,1),(6346,1),(7535,1),(7577,1)}
3671:{1,2,4,6,7}:{(3044,1),(3083,1),(3135,1),(3148,1),(3402,1),(4127,1),(4195,1),(4199,1),(4203,1),(4216,1),(4254,1),(4434,1),(4487,1),(5278,1),(5284,1),(5293,1),(5304,1),(5336,1),(5343,1),(5374,1),(5391,1),(5554,1),(5563,1),(5679,1),(6254,1),(6346,1),(6440,1),(6523,1),(6530,1),(6676,1),(6720,1),(6756,1),(7387,1),(7535,1),(7580,1),(7703,1),(8359,1),(8382,1),(8857,1),(8981,1)}
3672:{1,2,4,6,7}:{(3046,1),(3085,1),(3136,1),(3147,1),(3402,1),(4124,1),(4193,1),(4198,1),(4202,1),(4253,1),(4434,1),(4487,1),(5276,1),(5286,1),(5292,1),(5307,1),(5388,1),(5554,1),(5563,1),(5634,1),(5679,1),(6257,1),(6441,1),(6525,1),(6533,1),(6658,1),(6676,1),(6719,1),(6720,1),(6722,1),(6756,1),(7532,1),(7642,1),(7703,1),(8360,1)}
3673:{1,2,4,6}:{(3045,1),(3086,1),(3137,1),(3150,1),(4125,1),(4194,1),(4196,1),(4201,1),(4219,1),(4255,1),(5277,1),(5372,1),(6253,1),(6554,1),(6693,1),(7310,1)}
3674:{1,2,4,6}:{(3043,1),(3084,1),(3138,1),(3149,1),(4126,1),(4197,1),(4200,1),(4252,1),(5279,1),(6556,1),(6693,1),(7308,1)}
3675:{1,4,6}:{(3050,1),(3127,1),(3151,1),(4212,1),(4221,1),(4409,1),(5383,1)}
3676:{1,2,4,6}:{(3049,1),(3130,1),(3154,1),(3339,1),(4213,1),(4220,1),(4265,1),(4405,1),(4430,1),(4499,1),(5307,1),(5390,1),(5495,1),(5568,1),(5629,1),(5634,1),(5635,1),(5659,1),(6522,1),(6554,1),(6612,1),(6658,1),(6716,1),(6744,1),(7532,1),(8178,1),(8348,1)}
3677:{1,2,4,6}:{(3047,1),(3128,1),(3152,1),(3339,1),(4214,1),(4222,1),(4409,1),(4499,1),(5381,1),(5495,1),(5629,1),(5634,1),(5637,1),(6349,1),(6556,1),(6612,1),(6658,1),(6716,1),(7308,1),(7532,1),(7673,1)}
3678:{1,4,6}:{(3048,1),(3129,1),(3153,1),(4215,1),(4223,1),(4266,1),(4430,1)}
3679:{1,2,5,7}:{(3052,1),(3087,1),(3148,1),(3408,1),(4127,1),(4227,1),(4231,1),(5391,1),(6521,1),(8184,1),(8857,1)}
3680:{1,2,3,5}:{(3053,1),(3089,1),(3149,1),(3383,1),(4126,1),(4197,1),(4211,1),(4229,1),(4325,1),(4512,1),(5189,1),(5260,1),(5297,1),(5390,1)}
3681:{1,2,5,7}:{(3051,1),(3090,1),(3147,1),(3408,1),(4124,1),(4225,1),(4230,1),(5388,1)}
3682:{1,2,3,5}:{(3054,1),(3088,1),(3150,1),(3383,1),(4125,1),(4196,1),(4208,1),(4228,1),(4325,1),(4512,1),(5191,1),(5262,1),(5299,1),(5389,1),(6377,1),(6518,1),(7490,1)}
3683:{2,3,5}:{(3091,1),(3132,1),(3168,1),(4112,1),(4128,1),(4235,1),(4243,1)}
3684:{2,3,5}:{(3092,1),(3131,1),(3170,1),(4130,1),(4234,1)}
3685:{1,2,3,5}:{(3093,1),(3134,1),(3169,1),(3289,1),(4113,1),(4131,1),(5246,1),(5527,1),(6380,1),(7260,1)}
3686:{1,2,3,5}:{(3094,1),(3133,1),(3167,1),(3289,1),(4114,1),(4129,1),(4240,1),(5154,1),(5244,1),(5264,1),(6248,1),(6346,1),(6380,1),(9278,1),(9523,1)}
3687:{1,2,3,6}:{(3057,1),(3096,1),(3143,1),(3392,1),(4192,1),(4200,1),(4386,1),(4488,1),(4509,1),(5254,1),(5381,1),(5412,1),(5495,1),(5533,1),(5634,1),(6612,1),(6638,1),(6716,1),(7308,1),(7428,1),(7507,1),(7514,1),(7630,1),(7633,1),(8396,1),(8411,1)}
3688:{1,2,6}:{(3055,1),(3098,1),(3146,1)}
3689:{1,2,6}:{(3056,1),(3097,1),(3145,1),(4195,1),(6346,1)}
3690:{1,2,3,6}:{(3058,1),(3095,1),(3144,1),(3392,1),(4194,1),(4201,1),(4386,1),(4509,1),(5255,1),(5383,1),(7428,1)}
3691:{1,2,3,7}:{(3060,1),(3101,1),(3152,1),(3397,1),(4204,1),(4222,1),(4229,1),(4490,1),(4511,1),(5258,1),(5535,1),(7435,1)}
3692:{1,2,3,7}:{(3062,1),(3102,1),(3151,1),(3397,1),(4205,1),(4221,1),(4228,1),(4511,1),(5256,1),(5389,1)}
3693:{1,2,5,7}:{(3059,1),(3099,1),(3153,1),(3422,1),(4223,1),(4231,1),(4246,1),(5365,1),(5391,1),(5679,1),(5680,1),(6521,1),(6720,1)}
3694:{1,2,5,7}:{(3061,1),(3100,1),(3154,1),(3422,1),(4220,1),(4230,1),(4247,1),(4490,1),(5679,1),(5680,1),(7577,1),(7691,1),(8195,1)}
3695:{2,3,4,7}:{(3109,1),(3137,1),(3168,1),(3425,1),(4122,1),(4239,1),(4255,1),(4256,1),(4410,1),(6277,1),(6324,1),(6386,1),(6433,1),(6511,1),(6606,1),(7268,1),(7279,1),(7353,1),(7386,1),(8255,1)}
3696:{1,2,3,7}:{(3108,1),(3135,1),(3167,1),(3295,1),(4120,1),(4257,1),(5259,1),(5404,1),(6402,1),(8134,1),(8854,1)}
3697:{2,3,4,7}:{(3110,1),(3138,1),(3170,1),(3425,1),(4238,1),(4252,1),(4410,1),(6281,1),(6322,1),(6432,1),(6511,1),(6606,1),(7275,1)}
3698:{1,2,3,7}:{(3107,1),(3136,1),(3169,1),(3295,1),(4123,1),(5257,1),(5535,1),(6243,1),(6402,1)}
3699:{2,4}:{(3112,1),(3426,1),(4243,1)}
3700:{1,2}:{(3113,1),(3297,1)}
3701:{2,3,4}:{(3114,1),(3404,1),(3426,1),(4242,1),(4387,1),(4475,1)}
3702:{1,2,3}:{(3111,1),(3297,1),(3404,1),(4387,1),(4499,1),(5495,1),(8134,1)}
3703:{5,6}:{(3174,1),(3175,1),(5660,1)}
3704:{5,6,7}:{(3171,1),(3177,1),(3430,1),(3432,1),(5204,1),(5660,1),(6412,1),(6566,1)}
3705:{5,7}:{(3172,1),(3181,1)}
3706:{5}:{(3191,1)}
3707:{4,5,6}:{(3173,1),(3183,1),(4269,1),(4270,1),(4273,1),(4275,1),(4293,1),(4336,1),(5442,1),(5543,1),(6571,1),(6651,1),(7584,1),(8207,1)}
3708:{4,6,7}:{(3175,1),(3176,1),(3233,1),(4268,1),(4294,1),(5660,1),(6412,1)}
3709:{4,5}:{(3193,1),(3234,1),(4295,1)}
3710:{4,5,7}:{(3192,1),(3235,1),(3433,1),(3435,1),(4271,1),(4296,1),(4530,1)}
3711:{4,5}:{(3188,1),(3195,1),(4337,1),(7584,1)}
3712:{4,5}:{(3189,1),(3253,1),(4278,1),(4534,1),(4536,1),(6302,1)}
3713:{4,7}:{(3178,1),(3216,1),(4339,1)}
3714:{4,6}:{(3179,1),(3215,1),(4340,1)}
3715:{4,5,6}:{(3178,1),(3180,1),(3194,1),(4036,1),(4278,1),(4281,1),(4341,1),(6289,1)}
3716:{4,6}:{(3182,1),(3277,1),(4283,1)}
3717:{4,5,7}:{(3182,1),(3190,1),(3278,1),(4033,1),(4270,1),(4282,1),(4283,1),(4289,1),(5166,1),(5224,1),(5432,1),(5440,1),(5444,1),(6338,1),(6350,1),(6568,1),(6570,1),(6576,1),(7322,1),(7327,1),(7584,1),(8197,1),(9245,1)}
3718:{4,6}:{(3187,1),(3254,1),(4269,1)}
3719:{4,6,7}:{(3183,1),(3184,1),(3255,1),(4275,1),(4285,1),(5166,1),(5442,1),(6432,1),(6570,1),(6575,1),(8129,1)}
3720:{4,6}:{(3186,1),(3257,1),(4273,1),(4285,1),(5441,1),(6303,1)}
3721:{4,7}:{(3185,1),(3256,1)}
3722:{4,6}:{(3190,1),(3279,1),(4270,1)}
3723:{4,6}:{(3189,1),(3280,1),(4279,1),(4287,1),(6302,1)}
3724:{4,7}:{(3188,1),(3281,1)}
3725:{4,6,7}:{(3192,1),(3193,1),(3288,1),(4040,1),(4043,1),(4271,1),(4274,1),(4287,1),(4530,1),(5438,1),(5444,1),(5446,1),(5666,1),(6302,1),(6746,1),(7338,1),(7354,1),(8126,1),(8218,1)}
3726:{4}:{(3289,1)}
3727:{3,5,7}:{(3194,1),(3202,1),(3430,1),(3432,1),(4281,1),(4414,1),(5204,1),(7294,1)}
3728:{3,5,6}:{(3172,1),(3195,1),(3211,1),(4269,1),(4276,1),(4291,1),(4412,1),(4526,1),(4527,1),(5268,1),(5432,1),(5660,1),(5661,1),(6309,1),(6566,1),(7584,1),(8197,1),(8200,1)}
3729:{3,5,7}:{(3173,1),(3206,1),(4275,1),(4293,1),(4311,1),(4411,1)}
3730:{3,5,7}:{(3174,1),(3195,1),(3213,1),(4277,1),(4290,1),(4413,1),(5546,1),(7584,1)}
3731:{3,6}:{(3175,1),(3199,1),(4415,1),(5660,1)}
3732:{3,5,7}:{(3176,1),(3198,1),(3207,1),(4294,1),(4416,1)}
3733:{4,5,7}:{(3197,1),(3200,1),(3201,1),(4045,1),(4047,1),(4051,1),(4285,1),(4356,1),(5165,1),(5166,1),(5206,1)}
3734:{4,6,7}:{(3203,1),(3204,1),(3217,1),(4048,1),(4359,1),(6286,1),(6289,1),(6570,1)}
3735:{4,5,7}:{(3204,1),(3205,1),(3218,1),(4049,1),(4287,1),(4360,1)}
3736:{3,4,5}:{(3182,1),(3212,1),(3219,1),(4299,1),(4310,1),(4361,1),(4423,1),(5440,1),(6299,1)}
3737:{3,4,6}:{(3183,1),(3209,1),(3258,1),(4293,1),(4322,1),(4362,1),(4424,1),(5178,1),(5442,1),(6602,1),(7601,1)}
3738:{3,4}:{(3186,1),(3259,1),(4325,1),(4364,1),(4425,1),(6303,1),(7490,1)}
3739:{3,4,5,7}:{(3184,1),(3208,1),(3260,1),(4275,1),(4277,1),(4302,1),(4307,1),(4323,1),(4363,1),(4426,1),(5471,1),(5472,1),(5484,1),(5546,1),(6570,1),(6575,1),(6576,1),(6591,1),(7584,1)}
3740:{3,4,5,6}:{(3185,1),(3198,1),(3210,1),(4094,1),(4269,1),(4276,1),(4299,1),(4301,1),(4304,1),(4324,1),(4427,1),(5161,1),(5178,1),(5196,1),(5268,1),(5449,1),(5467,1),(5473,1),(6287,1),(6308,1),(6311,1),(6332,1),(6419,1),(6572,1),(6577,1),(7584,1),(7606,1),(8200,1)}
3741:{3,4,5,7}:{(3187,1),(3199,1),(3210,1),(3214,1),(4098,1),(4277,1),(4292,1),(4301,1),(4326,1),(4428,1),(5170,1),(5434,1),(5440,1),(5472,1),(5546,1),(6317,1),(6320,1),(6570,1),(6576,1),(6653,1),(7319,1),(7325,1),(7389,1),(7584,1)}
3742:{3,4,6,7}:{(3181,1),(3207,1),(3211,1),(3282,1),(4283,1),(4284,1),(4291,1),(4294,1),(4429,1),(4532,1),(4533,1),(5288,1),(5436,1),(5445,1),(5476,1),(5482,1),(5660,1),(5661,1),(6412,1),(6570,1),(6596,1),(7591,1)}
3743:{3,4}:{(3189,1),(3285,1),(4328,1),(4368,1),(4430,1)}
3744:{3,4,6}:{(3188,1),(3212,1),(3286,1),(4298,1),(4307,1),(4366,1),(4431,1),(6299,1)}
3745:{3,4,7}:{(3190,1),(3212,1),(3287,1),(4053,1),(4305,1),(4367,1),(4432,1),(6299,1)}
3746:{3,4,6,7}:{(3191,1),(3214,1),(3290,1),(4284,1),(4286,1),(4292,1),(4301,1),(4305,1),(4331,1),(4433,1),(5445,1),(5464,1),(5476,1),(5483,1),(5557,1),(6570,1),(7591,1)}
3747:{3,4,7}:{(3192,1),(3283,1),(3440,1),(3441,1),(4296,1),(4389,1),(4434,1)}
3748:{3,4,6}:{(3193,1),(3284,1),(3439,1),(3440,1),(4295,1),(4390,1),(4435,1),(4538,1),(5463,1)}
3749:{3,4}:{(3291,1),(3436,1),(3437,1),(7489,1),(9523,1),(9570,1)}
3750:{3,5,6,7}:{(3196,1),(3215,1),(3216,1),(3299,1),(4045,1),(4280,1),(4316,1),(5185,1),(6371,1),(7361,1)}
3751:{3,5}:{(3227,1),(3300,1),(7489,1)}
3752:{3,5,6}:{(3219,1),(3222,1),(3302,1),(4299,1),(4314,1),(4315,1),(4324,1),(4538,1),(5178,1),(5477,1),(7606,1)}
3753:{3,5,7}:{(3219,1),(3228,1),(3303,1),(4314,1),(6248,1),(7257,1),(7271,1),(9523,1)}
3754:{3,6}:{(3221,1),(3304,1),(5660,1)}
3755:{3,5,7}:{(3220,1),(3305,1),(3442,1),(3443,1),(4316,1),(4318,1),(5259,1),(7271,1)}
3756:{3,5,7}:{(3229,1),(3301,1),(3445,1),(3447,1),(4317,1),(5174,1),(5244,1),(5432,1),(6307,1),(6580,1),(7257,1),(7489,1),(7584,1),(7602,1),(8197,1),(8323,1)}
3757:{3,7}:{(3222,1),(3306,1)}
3758:{3,4,6}:{(3178,1),(3220,1),(3223,1),(4164,1),(4288,1),(4318,1),(4380,1),(6289,1)}
3759:{3,4,5,7}:{(3179,1),(3221,1),(3223,1),(3230,1),(4056,1),(4175,1),(4289,1),(4318,1),(4319,1),(4381,1),(5185,1),(5200,1),(5224,1),(5432,1),(5434,1),(6248,1),(6307,1),(6315,1),(6338,1),(6350,1),(7257,1),(7271,1),(7317,1),(7322,1),(7327,1),(7389,1),(8121,1),(8197,1),(8793,1),(9245,1),(9523,1)}
3760:{3,4,5}:{(3180,1),(3231,1),(3445,1),(3447,1),(4176,1),(4382,1),(4534,1),(4536,1),(5174,1),(5440,1),(5486,1),(6299,1),(6301,1),(6302,1),(7348,1),(7489,1)}
3761:{3,4,6}:{(3222,1),(3224,1),(3307,1),(4312,1),(4314,1),(4383,1),(4538,1),(5252,1),(5443,1),(5477,1),(6289,1),(6598,1),(7600,1),(7606,1)}
3762:{3,6}:{(3225,1),(3308,1),(4311,1)}
3763:{3,6}:{(3226,1),(3309,1),(4323,1)}
3764:{3,5,7}:{(3225,1),(3226,1),(3310,1),(4311,1),(4322,1),(4323,1),(4325,1),(4329,1),(5189,1),(5469,1),(5470,1),(5478,1),(6322,1)}
3765:{3,5}:{(3232,1),(3311,1),(4324,1)}
3766:{3,4}:{(3226,1),(3312,1),(4328,1),(4387,1)}
3767:{3,4,6,7}:{(3227,1),(3228,1),(3293,1),(3313,1),(4305,1),(4307,1),(4313,1),(4314,1),(4331,1),(4388,1),(5195,1),(5444,1),(5459,1),(5464,1),(5476,1),(5481,1),(6299,1),(6323,1),(6330,1),(6570,1),(6598,1),(6604,1),(7331,1),(7489,1),(8323,1)}
3768:{3,4,7}:{(3225,1),(3232,1),(3314,1),(4123,1),(4326,1),(4331,1),(6570,1)}
3769:{2,5,6}:{(3171,1),(3235,1),(3239,1),(4271,1),(6696,1),(7504,1)}
3770:{2,5,6}:{(3172,1),(3234,1),(3245,1),(4272,1),(4335,1),(8197,1)}
3771:{2,5}:{(3173,1),(3248,1),(4063,1),(4273,1),(5543,1),(8207,1)}
3772:{2,5,7}:{(3174,1),(3234,1),(3250,1),(4060,1),(4062,1),(4274,1),(4333,1),(5204,1),(5208,1),(5432,1),(6340,1),(7584,1),(8197,1)}
3773:{4,5,7}:{(3236,1),(3238,1),(4273,1),(4285,1),(4355,1)}
3774:{2,6,7}:{(3177,1),(3239,1),(3240,1),(5660,1),(6607,1)}
3775:{2,4,6}:{(3175,1),(3239,1),(3243,1),(4068,1),(4271,1),(4333,1),(4357,1),(5438,1),(5489,1),(5660,1),(6607,1),(6696,1),(6746,1)}
3776:{2,4,5,7}:{(3176,1),(3240,1),(3241,1),(3242,1),(4072,1),(4073,1),(4335,1),(4338,1),(4358,1),(4528,1),(4530,1),(5204,1),(5205,1),(5434,1),(5439,1),(5490,1),(5497,1),(6335,1),(6480,1),(7327,1),(7338,1),(7387,1),(8197,1),(8256,1),(8895,1),(8903,1)}
3777:{2,6}:{(3178,1),(3244,1),(4339,1)}
3778:{2,5,7}:{(3179,1),(3244,1),(3251,1),(4065,1),(4339,1),(4340,1),(6346,1),(7383,1),(7387,1)}
3779:{2,5}:{(3180,1),(3252,1),(6346,1)}
3780:{2,4,6,7}:{(3181,1),(3241,1),(3245,1),(3455,1),(3456,1),(4335,1),(4529,1),(4530,1),(8818,1)}
3781:{2,4,5}:{(3182,1),(3244,1),(3249,1),(4337,1),(4342,1),(4350,1),(4361,1),(5488,1),(5498,1),(6346,1),(6349,1),(7380,1),(7383,1),(8138,1)}
3782:{2,4,6}:{(3183,1),(3247,1),(3261,1),(4070,1),(4336,1),(4362,1),(5442,1),(5489,1),(5495,1),(6342,1),(6612,1),(7507,1)}
3783:{2,4,7}:{(3184,1),(3246,1),(3263,1),(4075,1),(4363,1),(6575,1),(6576,1),(7386,1)}
3784:{2,4,5}:{(3186,1),(3264,1),(4032,1),(4033,1),(4076,1),(4079,1),(4273,1),(4346,1),(4364,1),(5210,1),(6303,1)}
3785:{2,4,6}:{(3188,1),(3249,1),(3267,1),(4337,1),(4349,1),(4366,1),(5489,1),(5495,1),(5498,1),(6346,1),(6349,1),(6612,1)}
3786:{2,4,7}:{(3190,1),(3249,1),(3268,1),(4079,1),(4347,1),(4367,1),(5495,1),(6349,1)}
3787:{2,4}:{(3189,1),(3269,1),(4368,1)}
3788:{2,3,5,6}:{(3194,1),(3253,1),(3266,1),(3451,1),(3453,1),(4278,1),(4341,1),(4351,1),(4479,1),(4538,1),(4539,1),(5477,1),(5511,1)}
3789:{2,3,5}:{(3195,1),(3234,1),(3275,1),(4060,1),(4062,1),(4279,1),(4295,1),(4337,1),(4477,1),(5174,1),(5175,1),(5208,1),(5244,1),(5475,1),(5603,1),(6346,1),(6486,1),(6637,1),(7584,1),(9339,1)}
3790:{2,3,6,7}:{(3196,1),(3233,1),(3254,1),(3256,1),(4085,1),(4284,1),(4294,1),(4478,1),(5476,1),(6412,1)}
3791:{2,3,5,7}:{(3197,1),(3236,1),(3257,1),(3270,1),(4285,1),(4355,1),(4356,1),(4480,1),(5478,1),(5513,1)}
3792:{3,5,6,7}:{(3237,1),(3258,1),(3260,1),(4290,1),(4293,1),(4294,1),(4302,1),(4355,1),(4481,1),(6591,1),(7367,1),(7584,1),(7601,1)}
3793:{3,6}:{(3238,1),(3259,1),(4355,1),(4482,1)}
3794:{2,6,7}:{(3200,1),(3261,1),(3263,1),(4356,1),(6281,1),(6342,1),(7386,1),(9515,1)}
3795:{2,5,6}:{(3201,1),(3261,1),(3264,1),(4088,1),(4346,1),(4356,1),(5210,1),(5495,1),(6342,1),(6348,1)}
3796:{2,3,5,6}:{(3198,1),(3242,1),(3265,1),(3271,1),(4092,1),(4357,1),(4358,1),(4485,1),(4526,1),(4527,1),(4538,1),(4539,1),(5488,1),(5511,1),(5660,1),(5661,1),(6380,1),(6607,1),(6621,1),(7383,1),(7399,1),(7427,1),(7619,1),(8197,1),(8237,1),(8266,1),(8889,1)}
3797:{2,3,5,7}:{(3199,1),(3243,1),(3265,1),(3276,1),(4096,1),(4296,1),(4357,1),(4486,1),(6346,1),(6749,1),(7383,1),(7387,1),(7434,1),(8266,1)}
3798:{2,3,6,7}:{(3202,1),(3262,1),(3266,1),(3454,1),(3455,1),(4339,1),(4351,1),(4487,1),(5212,1),(5406,1),(5450,1),(7387,1)}
3799:{2,6}:{(3203,1),(3268,1),(5495,1)}
3800:{2,7}:{(3204,1),(3267,1),(6346,1)}
3801:{2,5,6}:{(3205,1),(3267,1),(3269,1),(4091,1),(4337,1),(4348,1),(4360,1),(5208,1),(5489,1),(6346,1),(9339,1),(9518,1)}
3802:{2,3,4,7}:{(3207,1),(3241,1),(3262,1),(3271,1),(4072,1),(4073,1),(4358,1),(4377,1),(4494,1),(4532,1),(4533,1),(5257,1),(5259,1),(5455,1),(5465,1),(5500,1),(5512,1),(6362,1),(6402,1),(7327,1),(7338,1),(7387,1),(8241,1),(8323,1),(8895,1),(8918,1)}
3803:{2,3,5,6}:{(3208,1),(3246,1),(3272,1),(4093,1),(4336,1),(4337,1),(4362,1),(4363,1),(4366,1),(4384,1),(4495,1),(5489,1),(5495,1),(5504,1),(5527,1),(6612,1),(6627,1),(6638,1),(7584,1)}
3804:{2,3,5,7}:{(3209,1),(3247,1),(3272,1),(3273,1),(4097,1),(4362,1),(4364,1),(4367,1),(4496,1),(5495,1),(5504,1),(5513,1),(5546,1),(6245,1),(6627,1),(6628,1),(6645,1),(7275,1)}
3805:{2,3,4,6}:{(3211,1),(3245,1),(3266,1),(3274,1),(4068,1),(4071,1),(4278,1),(4342,1),(4352,1),(4357,1),(4383,1),(4498,1),(4537,1),(4538,1),(4543,1),(5176,1),(5177,1),(5216,1),(5252,1),(5253,1),(5351,1),(5438,1),(5443,1),(5464,1),(5477,1),(5489,1),(5510,1),(5511,1),(5536,1),(5660,1),(5661,1),(5669,1),(6256,1),(6288,1),(6289,1),(6384,1),(6401,1),(6572,1),(6577,1),(6581,1),(6598,1),(6603,1),(6607,2),(6612,1),(6615,1),(6624,1),(6638,1),(6696,1),(6746,1),(6748,1),(7344,1),(7398,1),(7399,1),(7424,1),(7427,1),(7597,1),(7600,1),(7606,1),(7612,1),(7619,2),(7627,1),(7632,1),(8214,1),(8221,2),(8224,1),(8237,1),(8239,2),(8264,1),(8419,1),(8440,1),(8818,2),(8820,1),(8945,1),(9021,1),(9307,1),(9400,1),(9570,1)}
3806:{2,3,4,6,7}:{(3206,1),(3248,1),(3270,1),(3273,1),(4103,1),(4285,1),(4303,1),(4345,1),(4353,1),(4362,1),(4386,1),(4497,1),(5221,1),(5242,1),(5441,1),(5442,1),(5478,1),(5483,1),(5495,1),(5513,1),(5531,1),(5557,1),(6303,1),(6342,1),(6386,1),(6397,1),(6511,1),(6575,1),(6601,1),(6602,1),(6606,1),(6616,1),(6628,1),(6645,1),(7275,1),(7353,1),(7386,1),(7428,1),(7490,1),(7507,1),(7601,1),(7633,1),(8129,1),(8159,1),(8432,1),(8846,1),(9515,1)}
3807:{2,3}:{(3212,1),(3249,1),(4499,1),(5495,1)}
3808:{2,3,4,6,7}:{(3213,1),(3250,1),(3275,1),(3276,1),(3292,1),(4101,1),(4287,1),(4309,1),(4349,1),(4354,1),(4357,1),(4388,1),(4500,1),(5220,1),(5243,1),(5438,1),(5444,1),(5464,1),(5481,1),(5489,1),(5515,1),(5535,1),(5620,1),(6302,1),(6346,1),(6364,1),(6367,1),(6387,1),(6510,1),(6576,1),(6598,1),(6604,1),(6615,1),(6624,1),(6631,1),(6638,1),(6650,1),(6696,1),(7338,1),(7354,1),(7387,1),(7434,1),(7489,1),(7597,1),(7627,1),(7632,1),(8264,1),(8323,1),(8419,1)}
3809:{2,3,5,6}:{(3215,1),(3254,1),(3278,1),(3362,1),(4081,1),(4269,1),(4282,1),(4290,1),(4314,1),(4340,1),(4374,1),(5178,1),(5432,1),(5449,1),(5467,1),(5487,1),(5489,1),(5510,1),(5660,1),(5661,1),(6566,1),(6607,1),(6612,1),(6638,1),(7360,1),(7361,1),(7424,1),(7427,1),(7584,1),(8197,1),(8200,1),(8237,1),(8239,1)}
3810:{2,3,5,7}:{(3216,1),(3277,1),(3282,1),(3363,1),(4283,1),(4291,1),(4315,1),(4339,1),(5490,1),(5512,1),(6371,1),(7387,1)}
3811:{2,3,5,6,7}:{(3217,1),(3279,1),(3281,1),(3290,1),(3364,1),(4104,1),(4286,1),(4290,1),(4292,1),(4311,1),(4359,1),(4372,1),(5231,1),(5246,1),(5467,1),(5489,1),(5491,1),(5495,1),(5504,1),(5514,1),(5520,1),(5522,1),(6370,1),(6373,1),(6612,1),(6619,1),(6638,1),(6639,1),(7360,1),(7362,1),(7584,1),(8239,1),(8240,1)}
3812:{2,3,5,7}:{(3218,1),(3280,1),(3292,1),(3365,1),(4287,1),(4360,1),(4373,1),(4504,1),(5481,1),(5515,1)}
3813:{3,6}:{(3287,1),(3366,1)}
3814:{3,6,7}:{(3283,1),(3284,1),(3367,1),(4110,1),(4111,1),(4373,1),(4506,1),(7627,1),(9518,1)}
3815:{3,5,6}:{(3284,1),(3285,1),(3368,1),(4110,1),(4111,1),(4295,1),(4306,1),(4373,1),(4507,1),(4538,1),(5174,1),(5175,1),(6398,1),(6637,1),(7627,1),(9339,1),(9518,1)}
3816:{3,5,7}:{(3286,1),(3293,1),(3369,1),(4307,1),(4311,1),(4323,1),(5481,1)}
3817:{2,3,5,6}:{(3220,1),(3289,1),(3370,1),(3457,1),(3458,1),(4288,1),(4374,1),(4375,1),(4380,1),(4526,1),(4527,1),(5432,1),(5488,1),(5660,1),(5661,1),(6380,1),(6566,1),(6607,1),(7427,1),(8197,1)}
3818:{2,3,5,7}:{(3221,1),(3289,1),(3295,1),(3371,1),(4289,1),(4374,1),(5432,1)}
3819:{2,3,6}:{(3222,1),(3291,1),(3372,1),(4308,1),(4377,1),(8877,1)}
3820:{2,3,5}:{(3219,1),(3296,1),(3373,1),(4114,1),(4310,1),(5244,1),(5264,1),(5475,1),(6248,1),(6346,1),(6648,1),(7489,1),(8325,1),(8877,1),(9523,1)}
3821:{2,3,5}:{(3223,1),(3244,1),(3297,1),(4240,1),(4350,1),(4380,1),(5264,1),(5488,1),(6346,1),(7383,1),(8134,1)}
3822:{2,3,5,7}:{(3224,1),(3291,1),(3298,1),(3374,1),(4361,1),(4369,1),(4371,1),(4377,1),(4383,1),(4546,1),(5264,1),(5448,1),(5503,1),(5512,1),(5677,1),(6243,1),(6346,1),(6380,1),(6402,1),(6648,1),(6749,1),(7260,1),(7383,1),(7387,1),(7489,1),(7634,1),(7635,1),(8134,1),(8323,1),(8325,1),(8877,1),(9523,1)}
3823:{2,3,5}:{(3226,1),(3294,1),(3375,1),(4112,1),(4332,1),(4384,1),(4387,1),(5474,1)}
3824:{2,3,7}:{(3225,1),(3294,1),(3376,1),(4122,1),(4325,1),(4386,1),(5262,1),(5478,1),(7386,1),(7490,1)}
3825:{2,3,6}:{(3227,1),(3298,1),(3377,1),(4371,1),(6346,1),(6648,1),(7489,1)}
3826:{2,3,6,7}:{(3229,1),(3295,1),(3378,1),(3464,1),(3465,1),(4117,1),(4374,1),(4376,1),(4389,1),(5243,1),(5251,1),(5523,1),(5535,1),(5677,1),(6239,1),(6243,1),(6346,1),(6390,1),(6402,1),(6638,1),(7387,1),(7427,1),(7434,1),(7489,1),(7632,1),(8134,1),(8323,1)}
3827:{2,3,7}:{(3228,1),(3296,1),(3379,1),(4120,1),(5259,1),(5481,1),(7489,1),(8134,1),(8323,1)}
3828:{2,3,7}:{(3230,1),(3251,1),(3297,1),(4116,1),(4257,1),(8134,1)}
3829:{2,3,6}:{(3231,1),(3252,1),(3297,1),(4117,1),(4263,1),(4368,1),(4382,1),(5495,1),(6346,1),(6612,1),(8134,1),(8146,1)}
3830:{1,5}:{(3173,1),(3308,1),(4311,1)}
3831:{1,4,5,6}:{(3171,1),(3301,1),(3304,1),(4036,1),(4039,1),(4132,1),(4134,1),(4271,1),(4317,1),(4458,1),(5132,1),(5160,1),(5276,1),(5278,1),(5334,1),(5432,1),(5446,1),(5547,1),(5563,1),(5660,1),(6289,1),(6413,1),(6420,1),(6434,1),(6566,1),(6746,1),(7459,1),(7504,1),(7584,1),(7703,1),(8197,1),(8218,1),(8393,1)}
3832:{1,4,5,6}:{(3172,1),(3300,1),(3307,1),(4272,1),(4276,1),(4312,1),(4394,1),(4412,1),(4459,1),(4525,1),(4526,1),(5160,1),(5269,1),(5334,1),(5432,1),(5443,1),(5564,1),(5660,1),(5662,1),(5664,1),(6289,1),(6413,1),(6420,1),(6434,1),(6566,1),(6568,1),(6662,1),(6746,1),(6752,1),(7459,1),(7584,1),(7585,1),(7647,1),(7703,1),(8197,4),(8200,1),(8797,1),(8932,1)}
3833:{1,4,5,7}:{(3174,1),(3300,1),(3313,1),(4270,1),(4274,1),(4277,1),(4313,1),(4391,1),(4392,1),(4413,1),(4460,1),(5273,1),(5432,1),(5433,1),(5440,1),(5444,1),(5542,1),(5562,1),(5566,1),(6409,1),(6420,1),(6568,1),(6570,1),(6658,1),(6662,1),(6663,1),(7319,1),(7584,2),(7642,1),(8197,1)}
3834:{1,4,6}:{(3175,1),(3303,1),(3362,1),(4271,1),(4282,1),(4314,1),(4415,1),(5563,1),(5660,1),(6746,1),(7379,1),(7703,1),(8353,1)}
3835:{1,4,5,7}:{(3176,1),(3302,1),(3306,1),(3363,1),(4283,1),(4315,1),(4396,1),(4401,1),(4416,1),(4528,1),(4530,1),(5166,1),(5433,1),(5542,1),(5554,1),(5573,1),(5679,1),(5680,1),(6438,1),(6570,1),(6663,1),(7642,1)}
3836:{1,4,6,7}:{(3177,1),(3299,1),(3304,1),(3305,1),(4137,1),(4280,1),(4316,1),(4463,1),(5445,1),(5660,1),(6413,1)}
3837:{1,4,6,7}:{(3181,1),(3306,1),(3307,1),(3406,1),(4283,1),(4321,1),(4394,1),(4529,1),(4530,1),(4531,1),(4532,1),(5164,1),(5291,1),(5436,1),(5445,1),(5554,1),(5573,1),(5660,1),(5662,1),(5666,1),(5679,1),(6413,1),(6570,1),(6573,1),(6661,1),(6746,1),(6756,1),(7591,1),(7642,1),(7703,1),(8822,1)}
3838:{1,4,6}:{(3183,1),(3310,1),(3380,1),(4322,1),(6252,1),(7313,1)}
3839:{1,4,7}:{(3184,1),(3309,1),(3382,1),(4323,1),(6507,1),(6658,1),(7577,1)}
3840:{1,4,6}:{(3185,1),(3311,1),(3381,1),(4324,1),(4401,1)}
3841:{1,4}:{(3186,1),(3383,1),(4325,1)}
3842:{1,4,5,7}:{(3187,1),(3311,1),(3314,1),(3384,1),(4326,1),(4391,1),(4398,1),(4401,1),(5440,1),(5542,1),(6570,1)}
3843:{1,4,6}:{(3188,1),(3312,1),(3407,1),(4327,1),(4397,1),(4406,1),(4409,1),(5556,1),(5621,1),(6658,1)}
3844:{1,4}:{(3189,1),(3408,1),(4328,1)}
3845:{1,4,7}:{(3190,1),(3312,1),(3409,1),(4126,1),(4329,1),(4403,1),(4410,1),(5354,1),(5441,1),(6570,1),(6574,1),(6575,1),(6576,1),(6658,1),(6671,1)}
3846:{1,4,5}:{(3182,1),(3312,1),(3410,1),(4130,1),(4131,1),(4330,1),(4404,1),(5360,1),(5440,1),(5556,1),(6658,1)}
3847:{1,4,6}:{(3191,1),(3314,1),(3413,1),(4331,1),(4391,1)}
3848:{4}:{(3414,1)}
3849:{1,4}:{(3415,1),(3436,1),(3438,1)}
3850:{1,5}:{(3195,1),(3335,1),(6486,1),(7584,1)}
3851:{1,6,7}:{(3196,1),(3315,1),(3317,1),(6412,1),(6438,1)}
3852:{1,5,6}:{(3194,1),(3319,1),(3325,1),(4414,1)}
3853:{1,5,7}:{(3197,1),(3318,1),(3330,1),(6438,1),(6439,1)}
3854:{1,5,6}:{(3198,1),(3320,1),(3331,1),(4415,1),(4416,1)}
3855:{1,5,7}:{(3199,1),(3320,1),(3336,1),(4415,1)}
3856:{1,4,6,7}:{(3200,1),(3316,1),(3322,1),(3323,1),(4136,1),(4417,1),(4440,1),(4483,1),(5313,1),(5557,1),(6424,1),(7437,1),(8312,1)}
3857:{1,4,5,6}:{(3201,1),(3318,1),(3322,1),(3324,1),(4133,1),(4135,1),(4140,1),(4400,1),(4417,1),(4441,1),(4484,1),(5136,1),(5138,1),(5272,1),(5277,1),(5279,1),(5332,1),(5543,1),(5558,1),(6286,1),(6419,1),(6424,1),(6651,1),(7474,1),(8170,1),(8207,1),(8940,1),(9373,1)}
3858:{1,4,6,7}:{(3202,1),(3321,1),(3325,1),(3340,1),(4137,1),(4414,1),(4418,1),(4487,1),(5554,1),(5679,1)}
3859:{1,4,6}:{(3203,1),(3327,1),(3341,1),(4444,1),(4488,1),(6286,1),(7313,1),(7586,1)}
3860:{1,4,6}:{(3178,1),(3329,1),(3342,1),(4166,1),(4418,1),(4489,1),(6289,1)}
3861:{1,4,7}:{(3204,1),(3326,1),(3343,1),(4445,1),(4490,1),(7577,1)}
3862:{1,4,5,6}:{(3205,1),(3326,1),(3328,1),(3344,1),(4143,1),(4397,1),(4405,1),(4422,1),(4446,1),(4491,1),(5275,1),(5547,1),(5621,1),(6486,1),(7504,1),(7584,1)}
3863:{1,4,5,7}:{(3179,1),(3329,1),(3337,1),(3345,1),(4146,1),(4173,1),(4418,1),(4419,1),(4492,1),(5440,1),(6429,1),(6570,1),(7317,1),(7442,1),(7660,1)}
3864:{1,4,5}:{(3180,1),(3319,1),(3338,1),(4178,1),(4493,1),(5360,1),(6486,1),(7584,1)}
3865:{1,4,6,7}:{(3206,1),(3308,1),(3332,1),(3386,1),(4411,1),(4424,1),(4447,1),(5553,1),(6438,1),(7492,1),(8312,1)}
3866:{1,4,7}:{(3207,1),(3331,1),(3385,1),(4416,1),(4448,1),(5679,1),(6438,1)}
3867:{1,4,5,6}:{(3208,1),(3309,1),(3333,1),(3387,1),(4397,1),(4424,1),(4426,1),(4431,1),(4449,1),(4495,1),(5547,1),(5562,1),(5598,1),(6491,1),(6658,1),(6669,1),(6679,1),(7584,1),(7658,1)}
3868:{1,4,5,7}:{(3209,1),(3332,1),(3333,1),(3388,1),(4411,1),(4424,1),(4425,1),(4432,1),(4450,1),(4496,1),(5297,1),(5553,1),(5562,1),(5565,1),(5575,1),(5599,1),(6438,1),(6473,1),(6658,1),(6669,1),(6671,1),(6679,1),(7492,1),(7660,1)}
3869:{1,4,5}:{(3210,1),(3320,1),(3339,1),(4214,1),(4391,1),(4451,1),(5297,1),(5440,1),(5562,1),(6658,1),(6662,1),(6679,1),(7524,1),(7584,1)}
3870:{1,4,6}:{(3211,1),(3334,1),(3411,1),(4412,1),(4415,1),(6256,1)}
3871:{1,4}:{(3212,1),(3412,1),(4499,1)}
3872:{1,4,6,7}:{(3213,1),(3335,1),(3336,1),(3416,1),(4406,1),(4413,1),(4415,1),(5547,1),(6510,1)}
3873:{1,4,7}:{(3214,1),(3339,1),(3417,1),(6438,1),(6570,1),(6576,1),(6658,1)}
3874:{1,3,5,6}:{(3215,1),(3315,1),(3345,1),(4132,1),(4135,1),(4152,1),(4155,1),(4419,1),(5130,1),(5467,1),(7361,1),(8938,1),(8954,1)}
3875:{1,3,5,7}:{(3216,1),(3317,1),(3340,1),(3342,1),(4156,1),(4414,1),(4418,1),(5319,1),(6371,1)}
3876:{1,3,5,6,7}:{(3217,1),(3316,1),(3341,1),(3343,1),(3349,1),(4150,1),(4151,1),(4420,1),(4440,1),(5322,1),(6372,1),(6534,1),(6536,1),(6541,1),(7362,1),(7466,1),(8312,1),(8938,1),(8954,1),(9270,1)}
3877:{1,5,7}:{(3218,1),(3344,1),(3353,1)}
3878:{1,3,5}:{(3219,1),(3320,1),(3359,1),(4423,1),(4555,1),(4556,1),(5297,1),(5562,1),(6662,1),(6752,1),(7524,1)}
3879:{1,3,7}:{(3321,1),(3346,1),(3442,1),(3443,1),(5259,1),(5679,1),(6438,1)}
3880:{3,6}:{(3322,1),(3348,1)}
3881:{3,7}:{(3323,1),(3347,1)}
3882:{3,5}:{(3324,1),(3356,1),(4325,1),(5543,1)}
3883:{1,3,5}:{(3319,1),(3360,1),(3445,1),(3447,1),(4176,1),(4555,1),(4556,1),(5244,1),(5562,1),(6752,1),(7489,1)}
3884:{1,3,4,6}:{(3325,1),(3346,1),(3352,1),(3448,1),(3449,1),(4152,1),(4154,1),(4164,1),(4408,1),(4442,1),(4515,1),(5132,1),(5197,1),(5252,1),(5284,1),(5286,1),(5477,1),(5559,1),(5563,1),(5568,1),(5572,1),(6289,1),(6330,1),(6410,1),(6413,1),(6454,1),(6455,1),(6676,1),(7300,1),(7452,1),(7453,1),(7600,1),(7606,1),(7703,2),(7704,1),(8169,1),(8209,1),(8830,1)}
3885:{3,4,6}:{(3326,1),(3347,1),(3351,1),(4167,1),(4409,1),(4445,1),(4446,1),(4516,1),(5621,1),(6301,1),(6398,1)}
3886:{3,4,5,7}:{(3327,1),(3348,1),(3351,1),(3357,1),(4169,1),(4170,1),(4174,1),(4329,1),(4410,1),(4444,1),(4445,1),(4517,1),(5354,1),(5469,1),(5472,1),(5543,1),(5546,1),(6242,1),(6489,1),(6574,1),(6576,1),(6699,1),(7584,1)}
3887:{3,5}:{(3328,1),(3358,1),(4179,1),(4328,1),(6486,1)}
3888:{1,3,6}:{(3222,1),(3331,1),(3355,1),(4324,1),(4448,1)}
3889:{1,3,7}:{(3225,1),(3332,1),(3354,1),(4323,1),(5478,1),(7577,1)}
3890:{1,3,5}:{(3226,1),(3333,1),(3354,1),(4311,1),(4453,1),(5470,1),(6563,1)}
3891:{1,3,4,5,7}:{(3224,1),(3334,1),(3355,1),(3361,1),(4326,1),(4330,1),(4423,1),(4437,1),(4439,1),(4448,1),(4452,1),(4456,1),(4522,1),(4555,1),(4557,1),(5203,1),(5296,1),(5440,1),(5472,1),(5482,1),(5556,1),(5571,1),(5573,1),(5579,1),(5581,1),(5584,1),(5591,1),(5597,1),(5679,1),(5682,1),(6235,1),(6309,1),(6317,1),(6471,1),(6564,1),(6570,1),(6576,1),(6604,1),(6657,1),(6661,1),(6662,1),(6670,1),(6684,1),(6689,1),(6691,1),(6752,1),(6756,1),(7319,1),(7325,1),(7327,1),(7473,1),(7489,1),(7579,1),(7584,1),(7602,1),(7605,1),(7655,1),(7659,1),(7664,1),(7666,1),(7691,1),(8169,1),(8176,1),(8197,1),(8234,1),(8285,1),(8305,1),(8307,2),(8323,1),(8325,1),(8419,1),(8450,1),(8839,1),(8932,2),(9276,1),(9570,1)}
3892:{1,3,4,6}:{(3227,1),(3335,1),(3361,1),(3423,1),(4327,1),(4331,1),(4431,1),(4435,1),(4437,1),(4523,1),(5304,1),(5556,1),(5593,1),(6396,1),(6691,1),(6744,1),(7489,1)}
3893:{1,3,4,7}:{(3228,1),(3336,1),(3359,1),(3424,1),(4432,1),(4434,1),(4439,1),(4448,1),(4524,1),(5325,1),(5573,1),(5579,1),(5679,1),(6438,1),(6689,1),(6756,1),(7542,1),(8169,1),(8234,1)}
3894:{1,3,4,6}:{(3232,1),(3339,1),(3354,1),(4265,1),(4324,1),(4327,1),(4331,1),(4451,1),(4453,1),(4455,1),(5193,1),(5198,1),(5324,1),(5328,1),(5587,1),(6457,1),(6744,1),(7606,1),(8234,1)}
3895:{1,2,5,6,7}:{(3233,1),(3299,1),(3362,1),(3363,1),(4268,1),(4334,1),(4370,1),(4396,1),(4463,1),(4478,1),(5542,1),(5560,1),(5660,1),(6267,1),(6412,1),(6438,1),(6663,1),(6700,1),(6719,1),(8353,1)}
3896:{1,2,5}:{(3234,1),(3300,1),(3377,1),(4337,1),(4371,1),(5208,1),(6346,1)}
3897:{1,2,5,7}:{(3235,1),(3301,1),(3378,1),(3473,1),(3474,1),(4064,1),(4066,1),(4376,1),(4458,1),(5208,1),(5432,1),(5673,1),(6335,1),(6340,1),(6346,1),(6474,1),(6521,1),(7383,1),(7387,1),(7584,1),(7668,1),(8197,1),(8258,1)}
3898:{1,4,5,6,7}:{(3237,1),(3364,1),(3366,1),(3369,1),(4180,1),(4183,1),(4270,1),(4286,1),(4372,1),(4392,1),(4395,1),(4396,1),(4399,1),(4481,1),(5161,1),(5166,1),(5273,1),(5282,1),(5394,1),(5433,1),(5542,1),(5547,1),(5549,1),(5562,1),(5576,1),(6415,1),(6417,1),(6422,1),(6435,1),(6438,1),(6570,1),(6658,1),(6663,1),(7379,1),(7584,1),(7642,1),(8353,1)}
3899:{4,5,7}:{(3365,1),(3367,1),(3368,1),(4287,1),(4373,1),(4530,1),(6507,1),(7289,1),(8126,1)}
3900:{1,2,6}:{(3239,1),(3304,1),(3371,1),(4340,1),(4374,1),(5660,1),(6607,1)}
3901:{1,2,5,7}:{(3240,1),(3305,1),(3370,1),(3475,1),(3477,1),(4339,1),(4375,1),(4463,1),(5213,1),(5404,1),(5544,1),(7387,1)}
3902:{1,2,4,7}:{(3241,1),(3306,1),(3372,1),(3475,1),(3476,1),(4377,1),(4531,1),(4532,1)}
3903:{1,2,4,5,6}:{(3242,1),(3302,1),(3370,1),(3372,1),(3373,1),(4185,1),(4186,1),(4288,1),(4342,1),(4378,1),(4459,1),(4464,1),(4465,1),(4485,1),(4525,1),(4526,1),(4562,1),(5219,1),(5269,1),(5271,1),(5333,1),(5334,1),(5348,1),(5432,1),(5443,1),(5487,1),(5488,1),(5551,1),(5578,1),(5609,1),(5629,1),(5660,1),(5662,1),(5664,1),(6265,1),(6288,1),(6289,1),(6338,1),(6410,1),(6413,1),(6474,1),(6490,1),(6522,1),(6566,1),(6568,1),(6572,1),(6577,1),(6607,1),(6612,1),(6614,1),(6662,1),(6707,1),(6710,1),(6718,1),(6746,1),(6752,1),(7322,1),(7379,1),(7380,1),(7383,1),(7459,1),(7498,1),(7501,1),(7524,1),(7584,1),(7585,1),(7612,1),(7643,1),(7647,1),(7668,1),(7683,1),(7703,1),(8197,4),(8200,1),(8203,1),(8237,1),(8239,1),(8348,1),(8353,1),(8419,1),(8447,1),(8460,1),(8797,1),(8889,2),(8925,1),(8932,1),(8966,1),(9021,1),(9245,1),(9278,1),(9292,1),(9570,1)}
3904:{1,2,4,5,7}:{(3243,1),(3303,1),(3371,1),(3373,1),(3379,1),(4190,1),(4289,1),(4343,1),(4379,1),(4460,1),(4464,1),(4486,1),(5356,1),(5432,1),(5444,1),(5552,1),(5579,1),(5610,1),(5630,1),(6346,1),(6474,1),(6479,1),(6568,1),(6576,1),(6658,1),(6662,1),(6708,1),(7322,1),(7327,1),(7383,1),(7387,1),(7584,1),(7642,1),(7643,1),(7668,1),(8197,1),(8348,1),(8419,1)}
3905:{1,2,4,6}:{(3245,1),(3307,1),(3374,1),(3478,1),(3480,1),(4342,1),(4383,1),(4459,1),(4543,1),(5216,1),(5443,1),(5489,1),(5629,1),(5660,1),(5662,1),(6523,1),(6607,1),(6612,1),(6615,1),(6715,1),(6746,1),(7459,1),(7612,1),(7683,1),(7703,1),(8239,2),(8818,1),(8970,1)}
3906:{1,2,4,6}:{(3246,1),(3309,1),(3375,1),(3390,1),(4187,1),(4384,1),(4409,1),(4468,1),(4495,1),(5349,1),(5598,1),(6551,1),(6658,1),(7673,1)}
3907:{1,2,4,5,7}:{(3247,1),(3310,1),(3375,1),(3376,1),(3391,1),(4188,1),(4385,1),(4410,1),(4457,1),(4467,1),(4468,1),(4469,1),(4471,1),(4496,1),(5359,1),(5441,1),(5495,1),(5543,1),(5546,1),(5550,1),(5599,1),(5602,1),(5608,1),(5610,1),(5612,1),(6348,1),(6495,1),(6558,1),(6571,1),(6574,1),(6575,1),(6576,1),(6653,1),(6658,1),(6679,1),(6688,1),(6705,1),(7353,1),(7386,1),(7584,1),(7611,1),(7645,1),(7660,1),(7670,1),(7673,1),(8207,1),(8284,1),(8432,1)}
3908:{1,2,4,6}:{(3248,1),(3308,1),(3376,1),(3392,1),(4194,1),(4386,1),(4400,1),(4457,1),(5441,1),(5495,1)}
3909:{1,2,4}:{(3249,1),(3312,1),(3393,1),(4387,1),(4475,1),(4499,1),(5495,1)}
3910:{1,2,4,6,7}:{(3250,1),(3313,1),(3377,1),(3379,1),(3418,1),(4193,1),(4195,1),(4347,1),(4349,1),(4388,1),(4460,1),(4464,1),(5336,1),(5444,1),(5489,1),(5495,1),(5496,1),(5634,1),(5636,1),(6257,1),(6346,1),(6349,1),(6612,1),(6615,1),(6658,1),(6708,1),(6715,1),(6719,1),(7385,1),(7387,1),(7532,1),(7642,1),(8239,1),(8360,1)}
3911:{1,2,4,7}:{(3192,1),(3419,1),(3481,1),(3482,1),(4077,1),(4078,1),(4124,1),(4127,1),(4389,1),(4434,1),(5388,1),(5391,1),(5497,1),(5554,1),(6720,1)}
3912:{1,2,4,6}:{(3193,1),(3420,1),(3482,1),(3483,1),(4348,1),(4390,1),(4405,1),(4435,1),(4461,1),(5635,1)}
3913:{1,2,6}:{(3254,1),(3315,1),(3384,1),(4398,1),(4415,1),(6612,1)}
3914:{1,2,5,6,7}:{(3255,1),(3316,1),(3380,1),(3382,1),(3386,1),(4399,1),(4411,1),(4478,1),(4480,1),(4481,1),(4483,1),(5371,1),(5542,1),(5608,1),(5624,1),(5632,1),(6272,1),(6438,1),(8187,1),(8312,1)}
3915:{1,2,5,7}:{(3256,1),(3317,1),(3381,1),(3385,1),(4204,1),(4401,1),(4416,1),(4478,1),(5542,1),(6438,1)}
3916:{1,2,5,6}:{(3257,1),(3318,1),(3383,1),(3392,1),(4400,1),(4457,1),(4480,1),(4482,1),(5565,1),(5633,1),(6518,1)}
3917:{1,2,5}:{(3253,1),(3319,1),(3402,1),(4402,1),(4555,1),(4556,1),(6752,1)}
3918:{1,6}:{(3258,1),(3388,1)}
3919:{1}:{(3259,1)}
3920:{1,5,7}:{(3260,1),(3387,1),(3398,1),(5562,1),(6438,1),(7289,1)}
3921:{1,2,6}:{(3261,1),(3322,1),(3391,1),(4509,1),(5410,1),(7507,1)}
3922:{1,2,7}:{(3262,1),(3321,1),(3389,1),(5679,1)}
3923:{1,2,7}:{(3263,1),(3323,1),(3390,1),(4511,1),(5407,1)}
3924:{1,2,5}:{(3264,1),(3324,1),(3400,1),(4512,1),(5155,1),(5159,1),(5495,1),(5543,1),(6348,1),(6487,1)}
3925:{1,2,5}:{(3265,1),(3320,1),(3403,1),(4215,1),(4555,1),(4556,1),(6346,1),(6662,1),(6752,1),(7535,1)}
3926:{1,2,6}:{(3266,1),(3325,1),(3394,1),(5563,1),(7703,1)}
3927:{1,2,6}:{(3267,1),(3326,1),(3393,1),(4490,1),(4516,1),(6346,1),(7535,1)}
3928:{1,2,5,7}:{(3268,1),(3327,1),(3393,1),(3395,1),(4211,1),(4471,1),(4488,1),(4490,1),(4517,1),(5495,1),(5602,1),(6348,1),(7386,1),(7611,1)}
3929:{1,2,5}:{(3269,1),(3328,1),(3396,1),(4472,1),(4518,1),(6563,1)}
3930:{1,2,5}:{(3244,1),(3329,1),(3404,1),(4242,1),(4489,1),(6346,1),(7383,1),(7535,1)}
3931:{1,2,6,7}:{(3270,1),(3330,1),(3392,1),(3397,1),(4480,1),(4482,1),(5379,1)}
3932:{1,2,4,6}:{(3271,1),(3331,1),(3389,1),(3399,1),(4185,1),(4408,1),(4485,1),(4494,1),(4519,1),(5568,1),(5578,1),(5629,1),(6522,1),(7459,1),(8348,1)}
3933:{1,2,5}:{(3272,1),(3333,1),(3401,1),(4212,1),(4499,1),(5495,1),(6679,1)}
3934:{1,2,4,7}:{(3273,1),(3332,1),(3397,1),(3401,1),(4221,1),(4425,1),(4496,1),(4521,1),(5389,1),(5599,1),(6556,1),(6658,1),(7673,1)}
3935:{1,2,4,5,7}:{(3274,1),(3334,1),(3394,1),(3399,1),(3405,1),(4190,1),(4402,1),(4473,1),(4476,1),(4477,1),(4486,1),(4494,1),(4498,1),(4522,1),(4555,1),(4557,1),(5296,1),(5298,1),(5544,1),(5552,1),(5554,1),(5556,1),(5579,1),(5600,1),(5610,1),(5614,1),(5623,1),(5630,1),(5631,1),(5679,1),(5682,1),(6346,1),(6478,1),(6479,1),(6530,1),(6564,1),(6576,1),(6652,1),(6657,1),(6658,1),(6661,1),(6662,1),(6670,1),(6708,1),(6714,1),(6720,1),(6721,1),(6752,1),(6756,1),(7325,1),(7327,1),(7383,1),(7387,1),(7527,1),(7532,1),(7535,1),(7579,1),(7584,1),(7642,1),(7643,1),(7655,1),(7668,1),(7680,2),(7685,1),(7687,1),(7691,1),(8176,1),(8197,1),(8291,1),(8305,1),(8307,2),(8348,1),(8359,1),(8360,1),(8361,1),(8363,1),(8419,1),(8450,1),(8853,1),(8932,2),(9292,1),(9570,1)}
3936:{1,2,4,6}:{(3275,1),(3335,1),(3405,1),(3421,1),(4195,1),(4405,1),(4435,1),(4477,1),(4523,1),(5304,1),(5307,1),(5556,1),(5634,1),(5635,1),(6346,1),(6658,1),(6721,1),(6744,1),(7532,1),(7535,1)}
3937:{1,2,4,7}:{(3276,1),(3336,1),(3403,1),(3422,1),(4223,1),(4434,1),(4486,1),(4524,1),(5391,1),(5579,1),(5679,1),(6720,1),(6756,1),(8348,1)}
3938:{1,2,4,7}:{(3251,1),(3337,1),(3395,1),(3404,1),(4218,1),(4258,1),(4259,1),(4492,1),(5495,1),(6349,1),(8241,1),(8348,1),(8358,1)}
3939:{1,2,4,6}:{(3252,1),(3338,1),(3396,1),(3404,1),(4216,1),(4260,1),(4262,1),(4472,1),(4489,1),(4493,1),(5362,1),(5374,1),(6346,1),(6744,1),(7535,1)}
3940:{1,2,3,5,6}:{(3279,1),(3341,1),(3380,1),(3409,1),(3413,1),(4225,1),(4311,1),(4322,1),(4391,1),(4403,1),(4488,1),(4505,1),(4509,1),(5195,1),(5246,1),(5413,1),(5467,1),(5469,1),(5495,1),(5522,1),(5533,1),(5543,1),(5562,1),(5583,1),(5602,1),(5634,1),(5649,1),(6447,1),(6542,1),(6612,1),(6638,1),(6679,1),(6716,1),(6727,1),(7313,1),(7532,1),(7546,1),(7554,1),(7584,1),(8233,1)}
3941:{1,2,3,5,6}:{(3277,1),(3342,1),(3381,1),(3410,1),(3411,1),(4234,1),(4324,1),(4404,1),(4412,1),(4438,1),(4479,1),(4489,1),(4502,1),(5268,1),(5416,1),(5467,1),(5473,1),(5477,1),(5536,1),(5609,1),(5629,1),(6612,1),(6710,1),(6740,1),(7559,1),(7606,1)}
3942:{1,2,5,6}:{(3280,1),(3344,1),(3408,1),(3421,1),(4405,1),(4477,1),(4504,1),(4507,1),(5635,1),(6521,1)}
3943:{1,2,3,5,7}:{(3281,1),(3343,1),(3382,1),(3407,1),(3416,1),(4323,1),(4406,1),(4413,1),(4490,1),(4504,1),(4508,1),(4511,1),(5472,1),(5481,1),(5535,1),(5546,1),(5610,1),(5636,1),(5648,1),(6741,1),(7577,1),(7691,1)}
3944:{1,2,3,5,7}:{(3278,1),(3345,1),(3384,1),(3410,1),(3427,1),(4197,1),(4198,1),(4238,1),(4326,1),(4391,1),(4407,1),(4413,1),(4439,1),(4492,1),(4501,1),(5152,1),(5157,1),(5189,1),(5190,1),(5245,1),(5246,1),(5297,1),(5364,1),(5371,1),(5469,1),(5472,1),(5537,1),(5542,1),(5543,1),(5544,1),(5546,1),(5562,1),(5580,1),(5602,1),(5610,1),(5630,1),(6309,1),(6317,1),(6320,1),(6322,1),(6370,1),(6373,1),(6407,1),(6409,1),(6438,1),(6447,1),(6449,1),(6475,1),(6478,1),(6591,1),(6592,1),(6639,1),(6662,1),(6663,1),(6679,1),(6697,1),(6704,1),(6727,1),(7260,1),(7267,1),(7380,1),(7464,1),(7469,1),(7470,1),(7473,1),(7524,1),(7532,1),(7533,1),(7544,1),(7545,1),(7554,1),(7584,3),(7602,1),(7611,1),(7660,1),(7668,1),(7690,1),(7691,1),(8182,1),(8189,1),(8206,1),(8358,1),(8360,1),(8361,1),(8426,1),(8428,1),(8450,1),(8861,1),(8902,1),(8935,1)}
3945:{1,2,3,6,7}:{(3282,1),(3340,1),(3385,1),(3411,1),(4429,1),(4448,1),(4478,1),(4487,1),(4502,1),(4510,1),(5476,1),(5585,1),(5679,1),(6274,1),(6412,1),(6438,1),(6596,1),(6700,1),(6719,1),(8392,1)}
3946:{1,7}:{(3283,1),(3484,1),(3486,1)}
3947:{1,6}:{(3284,1),(3485,1),(3486,1),(9518,1)}
3948:{1,5}:{(3285,1),(3484,1),(3486,1),(4430,1)}
3949:{1,3,5,6}:{(3286,1),(3387,1),(3412,1),(3423,1),(4311,1),(4431,1),(4437,1),(4505,1),(4507,1),(4508,1),(5467,1),(5562,1),(5593,1),(6447,1),(7253,1)}
3950:{1,3,5,7}:{(3287,1),(3388,1),(3412,1),(3424,1),(4229,1),(4230,1),(4432,1),(4505,1),(5297,1),(5325,1),(5562,1),(6438,1),(6447,1)}
3951:{1,2,3,6}:{(3346,1),(3389,1),(3415,1),(3457,1),(3458,1),(4408,1),(4510,1),(6522,1),(7300,1)}
3952:{2,3,6}:{(3347,1),(3390,1),(3414,1),(4409,1),(4511,1)}
3953:{2,3,5,7}:{(3348,1),(3391,1),(3414,1),(3425,1),(4410,1),(4509,1),(4511,1),(4512,1),(5543,1),(5546,1)}
3954:{1,2,3,6,7}:{(3290,1),(3349,1),(3386,1),(3413,1),(3417,1),(4247,1),(4415,1),(4433,1),(4447,1),(4478,1),(4505,1),(5381,1),(5476,1),(5585,1),(5587,1),(5634,1),(5645,1),(5649,1),(6438,1),(6638,1),(6719,1),(8312,1),(8353,1)}
3955:{1,2,5,6,7}:{(3288,1),(3350,1),(3418,1),(3419,1),(3420,1),(4089,1),(4091,1),(4225,1),(4227,1),(4360,1),(4458,1),(4460,1),(4474,1),(4504,1),(4506,1),(4559,1),(5208,1),(5212,1),(5214,1),(5378,1),(5489,1),(5563,1),(5566,1),(5622,1),(5679,1),(6335,1),(6344,1),(6346,1),(6496,1),(6521,1),(7387,1),(7522,1),(7703,1),(8184,1),(8393,1),(9339,1),(9518,1),(9557,1)}
3956:{2,3,5}:{(3351,1),(3393,1),(3426,1),(4243,1),(4387,1),(4475,1),(4516,1),(5603,1)}
3957:{1,2,3,5,7}:{(3352,1),(3394,1),(3415,1),(3428,1),(3461,1),(3462,1),(4240,1),(4241,1),(4476,1),(4510,1),(4513,1),(4515,1),(5146,1),(5264,1),(5404,1),(5405,1),(5544,1),(5600,1),(5630,1),(5631,1),(6243,1),(6346,1),(6380,1),(6402,1),(6478,1),(6479,1),(6561,1),(6565,1),(6720,1),(7260,1),(7383,1),(7387,1),(7532,1),(7535,1),(7545,1),(7557,1),(7576,1),(7680,1),(8134,1),(8196,1),(8246,1),(8359,1),(8360,1),(8361,1),(8363,1),(8854,1),(8877,1),(8881,1),(9278,1),(9523,1)}
3958:{1,2,6,7}:{(3292,1),(3353,1),(3421,1),(3422,1),(4490,1),(4504,1),(4506,1),(5679,1),(7577,1)}
3959:{1,3,6,7}:{(3293,1),(3398,1),(3423,1),(3424,1),(4323,1),(4448,1),(4505,1),(4506,1),(4508,1),(5476,1),(5679,1),(6438,1),(7270,1),(7577,1)}
3960:{1,2,3,5}:{(3291,1),(3355,1),(3399,1),(3429,1),(4113,1),(4114,1),(4456,1),(4519,1),(5264,1),(5581,1),(5591,1),(6380,1),(6565,1),(7489,1),(8325,1),(8877,1),(9278,1),(9347,1),(9523,1)}
3961:{2,3,6}:{(3356,1),(3400,1),(3425,1),(4249,1),(4325,1),(4512,1),(5260,1),(5262,1),(5495,1),(6628,1)}
3962:{2,3,7}:{(3357,1),(3395,1),(3426,1),(4248,1),(4256,1),(7386,1)}
3963:{2,3,6}:{(3358,1),(3396,1),(3426,1),(4251,1),(4261,1),(4518,1),(6398,1)}
3964:{1,2,3,6}:{(3294,1),(3354,1),(3401,1),(4264,1),(4384,1),(4386,1),(4520,1),(4521,1),(6551,1)}
3965:{1,2,3,6}:{(3360,1),(3402,1),(3428,1),(3464,1),(3465,1),(4263,1),(4328,1),(4513,1),(4564,1),(5477,1),(5634,1),(6346,1),(6565,1),(7489,1),(7532,1),(7535,1)}
3966:{1,2,3,6}:{(3296,1),(3359,1),(3403,1),(3429,1),(4266,1),(4499,1),(4514,1),(4524,1),(4564,1),(5390,1),(5629,1),(5634,1),(6522,1),(6565,1),(7489,1),(7532,1)}
3967:{1,2,3,7}:{(3298,1),(3361,1),(3405,1),(3429,1),(4120,1),(4123,1),(4328,1),(4387,1),(4499,1),(4523,1),(4564,1),(5261,1),(5325,1),(5327,1),(5391,1),(5481,1),(5495,1),(5535,1),(5636,1),(5655,1),(7489,1)}
3968:{4,6}:{(3434,1),(3452,1)}
3969:{4,5,6}:{(3435,1),(3451,1),(4271,1),(4278,1),(4528,1),(4539,1),(5664,1),(6746,1)}
3970:{4,6}:{(3433,1),(3453,1),(4530,1),(4538,1)}
3971:{1,4,6}:{(3437,1),(3459,1),(4308,1),(4525,1),(4531,1),(5443,1),(8176,1),(9570,1)}
3972:{4,6}:{(3436,1),(3458,1),(4526,1),(4532,1),(5660,1)}
3973:{3,4,6}:{(3438,1),(3457,1),(4288,1),(4408,1),(4527,1),(4533,1),(5661,1)}
3974:{3,5}:{(3435,1),(3441,1),(4556,1)}
3975:{3,4,5,7}:{(3434,1),(3439,1),(4295,1),(4537,1),(4547,1),(4557,1),(5451,1),(5463,1),(6584,1),(6587,1),(6749,1)}
3976:{3,5}:{(3433,1),(3440,1),(4538,1),(4555,1)}
3977:{3,5,6}:{(3447,1),(3448,1),(3467,1),(4527,1),(4542,1),(5432,1),(5477,1),(5661,1),(6307,1),(6309,1),(6566,1),(6580,1),(6594,1),(7257,1),(7584,1),(7600,1),(7602,1),(7606,1),(8160,1),(8197,2),(8200,1),(8793,1)}
3978:{3,5,6}:{(3445,1),(3449,1),(3468,1),(4526,1),(4538,1),(4540,1),(5432,1),(5477,1),(5660,1),(6566,1),(8197,1)}
3979:{1,3,4,5,6}:{(3446,1),(3450,1),(3466,1),(4312,1),(4525,1),(4537,1),(4549,1),(5443,1),(5459,1),(5564,1),(5570,1),(5582,1),(6289,1),(6296,1),(6434,1),(6450,1),(6534,1),(6568,1),(6584,1),(6598,1),(6603,1),(6659,1),(6662,1),(6666,1),(6673,1),(6683,1),(6752,1),(7333,1),(7452,1),(7453,1),(7459,1),(7473,1),(7584,1),(7602,2),(7606,1),(7649,1),(7665,1),(7703,1),(8176,1),(8197,1),(8325,1),(8419,1),(8450,1),(8932,1),(9276,1),(9570,1)}
3980:{3,4,6,7}:{(3443,1),(3449,1),(3471,1),(4316,1),(4318,1),(4532,1),(4540,1),(4553,1),(5445,1),(5660,1),(5666,1)}
3981:{1,3,4,6,7}:{(3444,1),(3450,1),(3470,1),(4321,1),(4531,1),(4554,1),(5573,1),(5585,1),(5679,1),(6440,1),(6467,1),(6539,1),(6675,1),(6689,1),(6756,1),(7703,1),(8323,1)}
3982:{3,4,6,7}:{(3442,1),(3448,1),(3469,1),(4316,1),(4318,1),(4533,1),(4542,1),(4552,1),(5445,1),(5450,1),(5455,1),(5476,1),(5482,1),(5661,1),(5667,1),(6323,1),(6325,1),(6570,1),(6596,1),(6605,1),(7271,1),(7328,1),(7331,1),(7591,1),(7600,1),(8121,1),(8160,1),(8323,1)}
3983:{2,5,7}:{(3430,1),(3451,1),(3454,1),(4528,1),(5204,1),(7294,1)}
3984:{2,5,7}:{(3432,1),(3453,1),(3455,1),(4530,1)}
3985:{2,3,5,6,7}:{(3431,1),(3452,1),(3456,1),(4335,1),(4529,1),(4560,1),(5451,1),(5521,1),(5676,1),(7427,1),(8154,1),(8197,1)}
3986:{2,4,7}:{(3436,1),(3462,1),(4289,1),(4350,1),(4532,1),(4534,1),(4543,1),(5666,1),(7327,1)}
3987:{2,3,4,7}:{(3438,1),(3461,1),(4289,1),(4350,1),(4476,1),(4533,1),(4536,1),(4545,1),(5200,1),(5203,1),(5226,1),(5264,1),(5267,1),(5466,1),(5486,1),(5500,1),(5519,1),(5667,1),(6243,1),(6346,1),(6349,1),(6402,1),(6576,1),(6605,1),(7322,1),(7327,2),(7359,1),(7385,1),(7387,1),(8121,1),(8134,1),(8138,1),(8145,1),(8234,1),(8241,1),(8419,1),(8877,1),(9245,1),(9523,1)}
3988:{1,2,4,7}:{(3437,1),(3460,1),(4369,1),(4531,1),(4544,1),(5579,1),(5637,1),(5682,1),(6756,1),(7327,1),(7518,1),(8176,1),(8307,1),(9570,1)}
3989:{2,3,7}:{(3442,1),(3457,1),(3477,1),(4533,1),(5259,1),(7271,1)}
3990:{1,2,3,5,7}:{(3444,1),(3459,1),(3476,1),(4377,1),(4531,1),(4554,1),(5448,1),(5521,1),(5674,1),(7522,1),(8323,1)}
3991:{2,3,7}:{(3443,1),(3458,1),(3475,1),(4532,1)}
3992:{1,2,3,5,7}:{(3446,1),(3463,1),(3472,1),(4371,1),(4535,1),(4547,1),(4549,1),(5509,1),(5521,1),(5628,1),(5641,1),(6346,1),(6361,1),(6521,1),(6648,1),(6714,1),(6717,1),(7387,1),(7489,1),(7522,1),(7532,1),(7535,1),(7634,1),(7701,1),(8323,1),(8359,1),(8360,1)}
3993:{2,3,5}:{(3445,1),(3464,1),(3473,1),(4534,1)}
3994:{2,3,5}:{(3447,1),(3465,1),(3474,1),(4536,1),(5244,1),(6346,1)}
3995:{2,3,6}:{(3449,1),(3462,1),(3478,1),(4543,1),(5660,1),(6607,1)}
3996:{1,2,3,6}:{(3450,1),(3460,1),(3480,1),(4383,1),(4544,1),(5629,1),(6523,1),(7427,1),(7683,1),(7703,1),(8970,1),(9307,1)}
3997:{2,3,6}:{(3448,1),(3461,1),(3479,1),(5252,1),(5477,1),(5661,1),(6607,1),(6612,1),(7600,1),(7606,1),(8134,1),(8160,1),(8237,1),(8239,1)}
3998:{2,3}:{(3440,1),(3482,1),(4328,1)}
3999:{2,3,6}:{(3441,1),(3481,1),(4328,1),(4368,1),(4389,1),(4548,1),(5192,1),(5195,1),(5477,1),(7489,1)}
4000:{2,3,7}:{(3439,1),(3483,1),(4390,1),(5481,1)}
4001:{1,4,5,6,7}:{(3431,1),(3466,1),(3470,1),(4394,1),(4529,1),(4560,1),(5436,1),(5560,1),(5660,1),(6282,1),(6413,1),(6516,1),(6566,1),(6655,1),(6746,1),(7439,1),(7703,1),(8197,1)}
4002:{1,4,5,7}:{(3432,1),(3468,1),(3471,1),(4281,1),(4414,1),(4530,1),(4540,1),(4559,1),(5554,1),(5666,1),(5679,1)}
4003:{1,4,5,7}:{(3430,1),(3467,1),(3469,1),(4281,1),(4414,1),(4528,1),(4542,1),(4558,1),(5433,1),(5434,1),(5542,1),(5544,1),(5554,1),(5667,1),(5680,1),(6408,1),(6409,1),(6567,1),(6570,1),(6663,1),(7294,1),(7317,1),(7319,1),(7642,1),(7648,1),(8122,1),(8192,1),(8197,1)}
4004:{1,4,6}:{(3441,1),(3484,1),(4430,1),(4434,1),(4556,1),(4565,1),(5563,1),(5683,1)}
4005:{1,4,7}:{(3439,1),(3485,1),(4435,1),(4566,1),(5679,1),(9323,1)}
4006:{1,4}:{(3440,1),(3486,1),(4555,1),(4564,1)}
4007:{1,2,5,6}:{(3451,1),(3467,1),(3474,1),(3479,1),(4341,1),(4551,1),(4558,1),(5334,1),(5432,1),(5487,1),(5488,1),(5600,1),(6340,1),(6474,1),(6566,1),(6607,1),(6612,1),(7376,1),(7380,1),(7383,1),(7584,1),(7668,1),(8135,1),(8197,2),(8200,1),(8237,1),(8239,1),(8889,1)}
4008:{1,2,5,6}:{(3452,1),(3466,1),(3472,1),(3480,1),(4561,1),(5489,1),(5564,1),(6344,1),(7703,1)}
4009:{1,2,5,6}:{(3453,1),(3468,1),(3473,1),(3478,1),(4341,1),(4550,1),(4559,1),(4562,1),(6752,1),(7703,1)}
4010:{1,2,4,5}:{(3435,1),(3474,1),(3481,1),(4344,1),(4402,1),(4536,1),(4548,1),(4556,1),(5208,1),(5211,1),(5273,1),(5275,1),(5363,1),(5631,1),(5683,1),(6302,1),(6346,1),(6349,1),(6519,1),(6521,1),(6658,1),(7406,1),(7532,1),(7535,1)}
4011:{1,2,4,5}:{(3433,1),(3473,1),(3482,1),(4344,1),(4402,1),(4534,1),(4546,1),(4555,1),(4562,1),(5363,1),(5631,1),(5664,1),(5682,1),(6752,1)}
4012:{1,2,4,5,7}:{(3434,1),(3472,1),(3483,1),(4461,1),(4535,1),(4547,1),(4557,1),(4561,1),(5494,1),(5552,1),(5663,1),(6714,1)}
4013:{1,2,6,7}:{(3455,1),(3471,1),(3475,1),(3478,1),(4339,1),(4553,1),(4559,1),(5212,1),(5404,1),(7387,1),(7703,1)}
4014:{1,2,4,6,7}:{(3454,1),(3469,1),(3477,1),(3479,1),(4339,1),(4463,1),(4487,1),(4552,1),(4558,1),(5212,1),(5336,1),(5404,1),(5445,1),(5496,1),(5497,1),(5500,1),(5554,1),(5614,1),(5667,1),(6273,1),(6352,1),(6509,1),(6607,1),(6700,1),(6719,1),(6720,1),(7385,1),(7387,3),(7591,1),(7642,1),(8237,1),(8239,1),(8241,1),(8256,1),(8359,1),(8360,1),(8815,1),(8854,1)}
4015:{1,2,6,7}:{(3456,1),(3470,1),(3476,1),(3480,1),(5660,1),(5679,1),(7387,1),(8970,1)}
4016:{4,6}:{(3502,1),(3637,1),(4582,1),(4984,1)}
4017:{3,4,6,7}:{(3487,1),(3605,1),(3635,1),(3642,1),(4574,1),(4629,1),(4742,1),(4745,1),(4902,1),(4904,1),(4981,1),(4983,1),(5688,1),(5770,1),(5771,1),(5778,1),(5781,1),(5784,1),(5882,1),(6039,1),(6047,1),(6106,1),(6764,1),(6864,1),(6872,1),(7102,1),(7124,1),(7125,1),(7814,1),(8040,1),(8044,1),(8594,1),(8754,1)}
4018:{4,7}:{(3488,1),(3639,1),(4581,1)}
4019:{1,4,7}:{(3491,1),(3527,1),(3640,1),(4597,1),(4860,1)}
4020:{4,6,7}:{(3492,1),(3637,1),(3639,1),(4576,1),(4741,1),(4743,1),(4981,1),(4983,1),(5690,1),(6106,1)}
4021:{1,3,4,7}:{(3489,1),(3527,1),(3606,1),(3641,1),(4590,1),(4628,1),(4730,1),(4904,1),(5005,1),(5847,1),(6047,1),(6127,1),(6155,1),(6949,1),(7245,1),(8511,1)}
4022:{3,4}:{(3498,1),(3603,1),(4984,1)}
4023:{1,3,4,6}:{(3500,1),(3528,1),(3604,1),(3638,1),(4573,1),(4583,1),(4630,1),(4729,1),(4902,1),(5003,1),(5712,1),(5769,1),(5894,1),(6764,1),(6817,1),(7055,1),(7124,1),(7961,1),(8489,1),(8536,1)}
4024:{1,3,4,6,7}:{(3490,1),(3530,1),(3605,1),(3638,1),(3641,1),(4568,1),(4589,1),(4629,1),(4727,1),(4739,1),(4746,1),(4860,1),(4902,1),(4904,1),(5003,1),(5005,1),(5770,1),(5771,1),(5848,1),(5892,1),(5898,1),(5906,1),(6013,1),(6039,1),(6046,1),(6047,1),(6048,1),(6127,1),(6131,1),(6132,1),(6135,1),(6155,1),(6760,1),(6841,1),(6949,1),(6953,1),(6980,1),(7002,1),(7083,1),(7102,1),(7122,1),(7124,1),(7125,1),(7165,1),(7189,1),(7245,1),(7783,1),(7788,1),(7907,1),(7909,1),(8040,1),(8075,1),(8106,1),(8491,1),(8524,1),(8540,1),(8594,1),(8654,1),(8754,1),(9083,1),(9085,1)}
4025:{3,4,6}:{(3493,1),(3604,1),(3635,1),(4569,1),(4630,1),(4860,1),(4981,1),(4984,1),(5744,1),(5769,1),(5884,1),(5945,1),(6013,1),(6017,1),(6030,1),(6849,1),(7100,1),(7102,1)}
4026:{4}:{(3501,1)}
4027:{1,4,6}:{(3499,1),(3528,1),(3636,1),(4575,1),(4596,1),(4729,1),(5707,1),(5894,1)}
4028:{1,4,6,7}:{(3497,1),(3530,1),(3636,1),(3640,1),(4579,1),(4591,1),(4727,1),(4740,1),(4744,1),(5003,1),(5005,1),(5892,1),(6127,1),(6131,1),(6980,1),(7717,1),(7909,1),(8483,1),(8517,1)}
4029:{1,3,4}:{(3494,1),(3529,1),(3603,1),(4577,1),(4584,1),(4627,1),(4728,1),(5704,1),(6820,1)}
4030:{1,4}:{(3496,1),(3529,1),(4571,1),(4585,1)}
4031:{3,4,7}:{(3495,1),(3606,1),(3642,1),(4580,1),(4628,1),(4983,1),(6047,1)}
4032:{4,5}:{(3510,1),(3549,1),(4605,1),(4615,1)}
4033:{4,5}:{(3507,1),(3550,1),(4606,1),(4617,1)}
4034:{4,5,7}:{(3508,1),(3547,1),(3712,1),(4599,1),(4603,1),(4856,1),(4865,1),(5744,1),(6009,1),(6014,1),(6823,1),(6828,1),(7098,1),(7099,1),(7716,1)}
4035:{4,5,7}:{(3509,1),(3548,1),(3712,1),(4602,1),(4604,1),(4856,1),(4865,1),(5745,1),(6009,1),(6825,1),(6829,1),(6847,1),(7706,1),(7806,1)}
4036:{4,6}:{(3505,1),(3512,1),(4640,1)}
4037:{4,5,6}:{(3503,1),(3514,1),(3714,1),(4606,1),(4609,1),(4625,1),(4641,1),(5800,1),(6825,1),(7787,1),(8575,1)}
4038:{4,6}:{(3506,1),(3513,1),(4610,1),(4626,1),(4639,1)}
4039:{4,5,6}:{(3504,1),(3511,1),(3714,1),(4603,1),(4642,1),(4853,1),(6008,1),(6013,1),(6823,1),(7787,1),(7788,1)}
4040:{4,6}:{(3509,1),(3574,1),(4602,1),(5745,1),(6847,1)}
4041:{4,6}:{(3510,1),(3572,1),(4601,1),(4614,1),(7715,1)}
4042:{4,6}:{(3507,1),(3573,1),(4600,1),(4613,1),(6014,1)}
4043:{4,6}:{(3508,1),(3571,1),(4599,1),(5744,1),(6014,1)}
4044:{3,5,6,7}:{(3511,1),(3515,1),(3704,1),(3727,1),(4607,1),(4716,1),(4847,1),(6007,1),(6022,1),(6036,1),(6853,1),(7753,1),(8026,1)}
4045:{5,7}:{(3514,1),(3517,1)}
4046:{3,5,6,7}:{(3512,1),(3516,1),(3704,1),(3727,1),(4608,1),(4717,1),(5688,1)}
4047:{5,7}:{(3513,1),(3518,1),(4610,1)}
4048:{4,5,7}:{(3522,1),(3523,1),(3734,1),(4613,1),(4665,1),(4860,1),(5746,1),(6825,1)}
4049:{4,6,7}:{(3521,1),(3526,1),(3735,1),(4666,1),(4853,1)}
4050:{4,5,6,7}:{(3519,1),(3524,1),(3734,1),(3735,1),(4611,1),(4663,1),(4853,1),(4855,1),(5741,1),(6824,1),(7786,1)}
4051:{4,7}:{(3520,1),(3525,1),(4664,1),(4860,1)}
4052:{3,4}:{(3510,1),(3575,1),(4615,1),(4677,1),(4728,1)}
4053:{3,4}:{(3507,1),(3576,1),(4617,1),(4678,1),(4729,1)}
4054:{3,4,7}:{(3509,1),(3578,1),(3743,1),(4621,1),(4628,1),(4675,1),(4730,1)}
4055:{3,4,7}:{(3508,1),(3577,1),(3743,1),(4619,1),(4629,1),(4676,1),(4727,1)}
4056:{3,5}:{(3503,1),(3528,1),(4575,1)}
4057:{3,4,5,7}:{(3505,1),(3527,1),(3756,1),(3760,1),(4570,1),(4624,1),(4685,1),(4865,1),(5745,1),(5784,1),(6009,1),(6825,1),(6829,1),(6860,1),(6872,1),(7716,1),(7720,1),(7812,1),(7828,1)}
4058:{3,4,5,7}:{(3504,1),(3530,1),(3756,1),(3760,1),(4579,1),(4623,1),(4686,1),(4865,1),(4869,1),(5745,1),(5783,1),(6014,1),(6022,1),(6829,1),(7098,1),(7124,1),(8040,1)}
4059:{3,5}:{(3506,1),(3529,1),(4571,1),(4626,1)}
4060:{5}:{(3539,1)}
4061:{2,5}:{(3540,1),(3706,1),(4600,1)}
4062:{2,5}:{(3542,1),(3706,1),(4599,1)}
4063:{5}:{(3541,1)}
4064:{2,5,7}:{(3504,1),(3545,1),(3779,1),(4642,1),(4910,1),(6054,1),(6061,1),(7130,1),(7131,1)}
4065:{2,5}:{(3503,1),(3544,1)}
4066:{2,5,7}:{(3505,1),(3546,1),(3779,1),(4640,1)}
4067:{2,5}:{(3506,1),(3543,1),(4639,1)}
4068:{4,6}:{(3538,1),(3552,1),(4635,1)}
4069:{2,4,6}:{(3537,1),(3553,1),(3718,1),(4606,1),(4638,1),(4668,1),(5739,1),(7102,1),(7795,1)}
4070:{4,6}:{(3535,1),(3554,1),(4636,1),(4667,1)}
4071:{2,4,6}:{(3536,1),(3551,1),(3718,1),(4603,1),(4637,1),(4863,1),(6008,1),(7102,1),(7795,1),(7796,1)}
4072:{2,4,7}:{(3534,1),(3557,1),(3721,1),(4856,1),(4864,1),(6828,1),(7098,1),(7104,1),(7131,1)}
4073:{4,7}:{(3531,1),(3556,1)}
4074:{2,4,7}:{(3533,1),(3555,1),(3721,1),(4674,1),(6826,1),(7098,1),(7104,1),(7131,1)}
4075:{4,7}:{(3532,1),(3558,1),(4673,1)}
4076:{2,4}:{(3510,1),(3560,1),(4677,1)}
4077:{2,4,7}:{(3508,1),(3559,1),(3787,1),(4652,1),(4676,1)}
4078:{2,4,7}:{(3509,1),(3561,1),(3787,1),(4653,1),(4675,1),(8505,1)}
4079:{2,4}:{(3507,1),(3562,1),(4678,1)}
4080:{2,5,6}:{(3513,1),(3549,1),(3554,1),(4605,1),(4636,1),(4639,1),(4658,1)}
4081:{2,5,6}:{(3514,1),(3550,1),(3553,1),(4606,1),(4656,1)}
4082:{2,3,5,6}:{(3511,1),(3547,1),(3551,1),(3769,1),(4603,1),(4637,1),(4642,1),(4777,1),(4870,1),(5749,1),(5770,1),(5814,1),(6225,1),(7248,1)}
4083:{2,3,5,6}:{(3512,1),(3548,1),(3552,1),(3769,1),(4604,1),(4635,1),(4640,1),(4778,1),(4870,1),(5732,1),(5747,1),(5767,1),(5789,1),(5811,1),(5826,1),(6225,1),(6776,1),(6887,1),(7248,1),(7884,1),(8618,1),(9221,1),(9506,1)}
4084:{2,3,6,7}:{(3515,1),(3551,1),(3557,1),(3774,1),(4649,1),(4779,1),(4916,1),(6057,1),(7014,1),(7131,1)}
4085:{2,6,7}:{(3517,1),(3553,1),(3555,1),(4656,1)}
4086:{2,6,7}:{(3518,1),(3554,1),(3558,1),(4648,1),(4658,1)}
4087:{2,3,6,7}:{(3516,1),(3552,1),(3556,1),(3774,1),(4647,1),(4781,1),(5831,1)}
4088:{2,6}:{(3520,1),(3560,1),(4664,1)}
4089:{2,5,6}:{(3519,1),(3559,1),(3799,1),(4652,1),(4910,1),(6061,1)}
4090:{2,5,6}:{(3522,1),(3562,1),(3799,1),(4651,1),(4665,1),(4910,1)}
4091:{2,6}:{(3521,1),(3561,1)}
4092:{3,4,5,6}:{(3531,1),(3564,1),(3796,1),(4635,1),(4670,1),(4672,1),(4687,1),(4793,1),(4849,1),(4857,1),(4875,1),(4886,1),(5747,1),(5763,1),(5826,1),(6008,1),(6021,1),(6044,1),(6220,1),(6221,1),(6825,1),(6832,1),(6839,1),(6844,1),(6863,1),(7106,1),(7246,1),(7248,1),(7787,1),(7796,1),(7828,1),(7954,1),(8575,1),(8580,1)}
4093:{3,5,6}:{(3532,1),(3565,1),(4636,1),(4667,1),(4673,1),(4689,1),(4791,1)}
4094:{2,3,5,6}:{(3533,1),(3563,1),(3740,1),(4638,1),(4668,1),(4674,1),(4690,1),(4794,1),(4913,1),(4932,1),(6769,1),(6779,1)}
4095:{2,3,4,5,6}:{(3534,1),(3566,1),(3740,1),(3796,1),(4637,1),(4669,1),(4671,1),(4688,1),(4792,1),(4849,1),(4857,1),(4875,1),(4886,1),(4913,1),(4932,1),(5749,1),(5766,1),(5790,1),(5813,1),(5825,1),(5845,1),(5921,1),(6008,1),(6021,1),(6044,1),(6056,1),(6064,1),(6069,1),(6071,1),(6072,1),(6082,1),(6092,1),(6220,1),(6221,1),(6768,1),(6782,1),(6823,1),(6832,1),(6833,1),(6841,1),(6843,1),(6844,1),(6864,1),(6887,1),(6888,1),(6895,1),(6897,1),(6917,1),(6918,1),(6927,1),(6928,1),(7099,1),(7100,1),(7106,1),(7115,1),(7129,1),(7130,1),(7140,1),(7143,1),(7159,1),(7246,1),(7248,1),(7708,1),(7713,1),(7716,1),(7788,1),(7795,1),(7796,1),(7827,1),(7840,1),(7841,1),(7842,1),(7844,1),(7853,1),(7858,1),(7862,1),(7864,1),(7878,1),(7897,1),(7954,1),(8028,1),(8029,1),(8032,1),(8041,1),(8042,1),(8045,1),(8054,1),(8479,1),(8493,1),(8537,1),(8575,1),(8577,1),(8579,1),(8580,2),(8592,1),(8599,1),(8600,1),(8603,1),(8604,1),(8609,1),(8612,1),(8630,1),(8635,1),(8752,1),(8762,1),(9043,2),(9045,1),(9053,1),(9086,1),(9139,1),(9143,1),(9150,1),(9162,1),(9404,1),(9456,2)}
4096:{3,4,5,7}:{(3538,1),(3564,1),(3569,1),(3797,1),(4659,1),(4670,1),(4693,1),(4797,1),(4859,1),(4887,1),(5745,1),(6021,1),(6045,1),(6825,1),(6829,1),(6872,1),(7828,1)}
4097:{3,5,7}:{(3535,1),(3565,1),(3568,1),(4615,1),(4667,1),(4798,1),(5752,1)}
4098:{2,3,5,7}:{(3537,1),(3563,1),(3567,1),(3741,1),(4617,1),(4668,1),(4796,1),(4914,1),(5754,1),(6055,1),(6061,1),(7031,1),(7131,1),(7837,1)}
4099:{2,3,4,5,7}:{(3536,1),(3566,1),(3570,1),(3741,1),(3797,1),(4616,1),(4660,1),(4669,1),(4692,1),(4795,1),(4859,1),(4887,1),(4914,1),(4933,1),(5744,1),(5793,1),(5822,1),(6014,1),(6021,1),(6045,1),(6061,1),(6065,1),(6074,1),(6091,1),(6164,1),(6823,1),(6828,1),(6873,1),(6895,1),(6903,1),(6908,1),(6934,1),(7032,1),(7098,1),(7099,1),(7103,1),(7114,1),(7124,1),(7130,1),(7131,1),(7150,1),(7156,1),(7160,1),(7716,1),(7813,1),(7827,1),(7837,1),(7841,1),(7848,1),(7853,1),(7858,1),(7870,1),(8028,1),(8032,1),(8040,1),(8041,1),(8054,1),(8537,1),(8604,1),(8609,1),(8630,1)}
4100:{2,3,4,6,7}:{(3540,1),(3567,1),(3580,1),(3746,1),(4613,1),(4622,1),(4650,1),(4662,1),(4668,1),(4697,1),(4800,1),(4922,1),(4937,1),(5739,1),(5754,1),(5772,1),(5815,1),(5832,1),(6014,1),(6066,1),(6078,1),(6081,1),(6097,1),(6826,1),(6834,1),(6869,1),(6901,1),(6907,1),(6913,1),(7098,1),(7102,1),(7103,1),(7124,1),(7131,1),(7814,1),(7842,1),(7849,1),(8040,1),(8050,1)}
4101:{3,4,6,7}:{(3539,1),(3569,1),(3581,1),(4612,1),(4621,1),(4647,1),(4659,1),(4670,1),(4695,1),(4799,1),(5745,1),(5771,1),(5831,1),(6829,1),(6872,1)}
4102:{2,3,4,6,7}:{(3542,1),(3570,1),(3582,1),(3746,1),(4611,1),(4619,1),(4649,1),(4660,1),(4669,1),(4698,1),(4802,1),(4922,1),(4937,1),(5744,1),(5753,1),(5774,1),(5816,1),(5834,1),(6014,1),(6078,1),(6097,1),(6101,1),(6177,1),(6828,1),(6873,1),(6903,1),(6908,1),(6950,1),(7098,1),(7102,1),(7103,1),(7124,1),(7131,1),(7848,1),(8040,1)}
4103:{3,4,6,7}:{(3541,1),(3568,1),(3579,1),(4614,1),(4620,1),(4648,1),(4661,1),(4667,1),(4696,1),(4801,1),(5742,1),(5752,1),(5773,1),(5833,1),(6827,1),(6867,1),(7815,1),(8684,1),(9090,1),(9425,1)}
4104:{2,3,5,7}:{(3523,1),(3573,1),(3580,1),(3646,1),(4613,1),(4656,1),(4665,1),(4682,1),(4942,1),(5754,1),(5815,1),(6915,1)}
4105:{2,3,5,6,7}:{(3524,1),(3571,1),(3582,1),(3644,1),(3812,1),(4611,1),(4660,1),(4663,1),(4681,1),(4806,1),(4927,1),(5774,1),(5816,1),(6916,1)}
4106:{2,3,5,6,7}:{(3526,1),(3574,1),(3581,1),(3645,1),(3812,1),(4612,1),(4659,1),(4666,1),(4679,1),(4803,1),(4927,1),(5771,1),(5792,1),(5809,1),(5817,1),(5990,1),(6891,1),(6935,1),(7030,1)}
4107:{2,3,5,7}:{(3525,1),(3572,1),(3579,1),(3643,1),(4614,1),(4658,1),(4661,1),(4664,1),(4680,1),(4942,1),(5752,1),(5791,1),(5808,1),(5818,1),(5829,1),(6881,1),(8732,1)}
4108:{3,6}:{(3575,1),(3650,1),(4680,1)}
4109:{3,6}:{(3576,1),(3649,1),(4682,1),(7124,1)}
4110:{3,6}:{(3577,1),(3647,1),(4809,1)}
4111:{3,6}:{(3578,1),(3648,1),(4807,1)}
4112:{3,5}:{(3585,1),(3653,1),(4689,1)}
4113:{2,3,5}:{(3586,1),(3651,1),(3765,1),(4634,1),(4688,1),(4901,1),(5766,1),(5855,1),(7124,1),(8041,1),(8630,1)}
4114:{3,5}:{(3583,1),(3654,1),(4633,1),(4687,1)}
4115:{2,3,5}:{(3584,1),(3652,1),(3765,1),(4631,1),(4690,1),(7124,1),(8041,1),(8059,1)}
4116:{2,3,6}:{(3528,1),(3544,1),(3828,1),(4596,1),(4678,1),(4683,1)}
4117:{2,3,7}:{(3527,1),(3546,1),(3829,1),(4597,1),(7131,1),(8505,1)}
4118:{2,3,6,7}:{(3530,1),(3545,1),(3828,1),(3829,1),(4591,1),(4676,1),(4686,1),(4937,1),(4939,1),(4951,1),(4952,1),(5814,1),(6075,1),(6079,1),(6903,1),(7131,1),(7848,1),(8500,1)}
4119:{2,3}:{(3529,1),(3543,1),(4585,1)}
4120:{3,7}:{(3583,1),(3658,1),(4695,1)}
4121:{2,3,4,7}:{(3584,1),(3657,1),(3768,1),(3824,1),(4630,1),(4691,1),(4697,1),(4908,1),(4959,1),(5772,1),(5849,1),(6826,1),(7124,1),(7131,1),(7137,1),(7157,1),(7849,1),(7959,1),(8059,1)}
4122:{3,4,7}:{(3585,1),(3655,1),(3824,1),(4627,1),(4694,1),(4696,1),(6827,1)}
4123:{2,3,7}:{(3586,1),(3656,1),(3768,1),(4629,1),(4698,1),(7124,1),(7131,1)}
4124:{1,4,7}:{(3508,1),(3681,1),(3844,1),(4629,1),(4703,1)}
4125:{1,4}:{(3510,1),(3682,1),(4627,1),(4984,1),(6848,1)}
4126:{1,4}:{(3507,1),(3680,1),(4630,1),(4984,1)}
4127:{1,4,7}:{(3509,1),(3679,1),(3844,1),(4628,1),(4706,1),(6984,1)}
4128:{4,5}:{(3683,1),(3848,1),(4709,1),(4968,1)}
4129:{1,4}:{(3686,1),(3726,1),(4633,1),(5745,1),(6832,1)}
4130:{4,5}:{(3684,1),(3848,1),(4707,1),(4968,1)}
4131:{1,4}:{(3685,1),(3726,1),(4634,1),(5744,1),(6019,1),(6832,1),(7716,1)}
4132:{1,5,6}:{(3511,1),(3587,1),(3591,1),(5860,1),(6104,1)}
4133:{1,5,6}:{(3513,1),(3589,1),(3593,1),(4718,1),(4721,1),(4738,1),(6783,1),(7751,1)}
4134:{1,5,6}:{(3512,1),(3588,1),(3594,1),(4720,1),(6104,1),(6776,1)}
4135:{1,5,6}:{(3514,1),(3590,1),(3592,1),(4715,1),(4736,1),(5862,1)}
4136:{1,6,7}:{(3518,1),(3593,1),(3596,1),(4718,1),(4733,1),(7751,1)}
4137:{1,6,7}:{(3516,1),(3594,1),(3597,1),(6104,1)}
4138:{1,4,6,7}:{(3515,1),(3591,1),(3598,1),(3851,1),(4716,1),(4732,1),(4779,1),(4990,1),(6104,1),(6123,1)}
4139:{1,4,6,7}:{(3517,1),(3592,1),(3595,1),(3851,1),(4715,1),(4734,1),(4782,1),(5691,1),(5878,1),(5882,1)}
4140:{1,4,6}:{(3520,1),(3599,1),(3610,1),(4724,1),(4748,1),(4786,1),(4860,1)}
4141:{1,4,5,6}:{(3522,1),(3602,1),(3607,1),(3859,1),(4705,1),(4723,1),(4750,1),(4785,1),(4860,1),(4967,1),(5746,1),(6013,1),(6132,1),(6822,1),(6968,1),(6981,1),(6986,1),(7013,1),(7166,1),(7186,1),(7757,1),(7904,1),(7928,1),(8079,1),(8643,1),(8657,1)}
4142:{1,4,5,6}:{(3519,1),(3600,1),(3609,1),(3859,1),(4703,1),(4749,1),(4784,1),(4967,1),(5945,1),(6824,1),(6986,1),(7904,1)}
4143:{1,4,6}:{(3521,1),(3601,1),(3608,1),(4747,1),(4783,1),(5943,1)}
4144:{1,4,5,7}:{(3505,1),(3588,1),(3606,1),(3864,1),(4580,1),(4720,1),(4789,1),(5718,1)}
4145:{1,4,5,7}:{(3504,1),(3587,1),(3605,1),(3864,1),(4574,1),(4722,1),(4790,1),(4967,1),(5717,1),(5860,1),(6777,1),(6823,1),(7030,1),(7097,1),(7164,1),(7184,1),(8026,1),(8028,1),(8574,1),(8643,1),(9066,1)}
4146:{1,4,5}:{(3503,1),(3590,1),(3604,1),(4569,1),(4573,1),(4787,1),(5712,1),(5860,1),(7186,1),(8575,1),(8643,1)}
4147:{1,4,5}:{(3506,1),(3589,1),(3603,1),(4577,1),(4578,1),(4721,1),(4788,1),(5704,1),(6783,1)}
4148:{1,5,6,7}:{(3526,1),(3608,1),(3625,1),(3877,1),(4726,1),(4986,1),(7030,1)}
4149:{1,3,5,7}:{(3525,1),(3610,1),(3624,1),(3853,1),(4718,1),(4724,1),(5014,1),(5696,1),(7004,1),(7942,1)}
4150:{1,5,6,7}:{(3524,1),(3609,1),(3623,1),(3877,1),(4986,1),(4988,1),(5953,1),(6986,1)}
4151:{1,3,5,7}:{(3523,1),(3607,1),(3626,1),(3853,1),(4715,1),(4723,1),(4988,1),(5014,1),(6036,1),(6040,1),(6105,1),(6850,1),(6989,1),(7005,1),(7942,1),(8594,1),(8643,1),(9073,1)}
4152:{1,3,6}:{(3591,1),(3615,1),(3754,1),(4897,1),(5770,1),(6039,1),(6104,1),(6863,1),(6864,1)}
4153:{3,6}:{(3593,1),(3616,1),(4743,1)}
4154:{1,3,6}:{(3594,1),(3618,1),(3754,1),(4744,1),(6104,1),(6761,1),(6863,1)}
4155:{3,6}:{(3592,1),(3617,1)}
4156:{3,7}:{(3595,1),(3613,1)}
4157:{1,3,5,7}:{(3598,1),(3614,1),(3755,1),(3879,1),(4732,1),(4739,1),(4900,1),(6036,1),(6041,1),(6047,1),(6856,1),(7773,1),(8040,1)}
4158:{1,3,5,7}:{(3597,1),(3612,1),(3755,1),(3879,1),(4731,1),(4740,1),(5701,1)}
4159:{3,7}:{(3596,1),(3611,1),(4741,1)}
4160:{3,5}:{(3589,1),(3633,1),(4582,1)}
4161:{1,3,5,7}:{(3588,1),(3632,1),(3756,1),(3883,1),(4579,1),(4737,1),(4992,1),(5861,1),(5888,1),(6923,1),(6973,1),(7124,1),(7173,1),(7249,1),(7732,1),(8008,1),(8040,1)}
4162:{1,3,5,7}:{(3587,1),(3634,1),(3756,1),(3883,1),(4570,1),(4735,1),(4888,1),(4992,1),(5860,1),(5888,1),(6036,1),(6853,1),(6860,1),(6973,1),(6989,1),(7173,1),(7249,1),(7766,1)}
4163:{3,5}:{(3590,1),(3631,1),(4572,1)}
4164:{1,4,6}:{(3612,1),(3620,1),(3758,1),(4740,1),(4824,1)}
4165:{1,3,4,6}:{(3614,1),(3619,1),(3758,1),(3860,1),(4710,1),(4739,1),(4823,1),(4905,1),(4997,1),(6013,1),(6841,1)}
4166:{3,4,6}:{(3613,1),(3622,1),(3860,1),(4707,1),(4742,1),(4752,1),(4825,1),(5947,1)}
4167:{4,6}:{(3611,1),(3621,1),(4741,1),(4754,1),(4826,1)}
4168:{3,5,7}:{(3601,1),(3628,1),(3887,1),(4581,1),(4628,1),(4747,1),(5760,1)}
4169:{3,5,7}:{(3600,1),(3630,1),(3887,1),(4576,1),(4629,1),(4749,1),(7030,1),(8594,1)}
4170:{3,4,5}:{(3602,1),(3627,1),(3882,1),(4582,1),(4630,1),(4828,1),(4860,1),(4984,1),(5746,1),(6030,1)}
4171:{3,4,5}:{(3599,1),(3629,1),(3882,1),(4572,1),(4627,1),(4748,1),(4830,1),(4860,1),(4984,1),(5746,1),(5759,1),(6030,1),(6108,1),(6848,1),(8527,1),(9186,1)}
4172:{1,3,4,5,7}:{(3615,1),(3619,1),(3638,1),(3759,1),(3863,1),(4573,1),(4714,1),(4739,1),(4746,1),(4832,1),(4906,1),(4998,1),(5692,1),(5712,1),(5860,1),(5865,1),(5913,1),(6777,1),(6804,1),(6817,1),(6979,1),(6989,1),(6997,1),(7124,1),(7730,1),(7766,1),(7773,1),(7902,1),(7907,1),(7932,1),(7961,1),(7976,1),(8040,1),(8041,1),(8512,1),(8538,1),(8643,1),(8676,1),(8678,1)}
4173:{3,4,5,7}:{(3617,1),(3622,1),(3635,1),(3863,1),(4569,1),(4574,1),(4711,1),(4742,1),(4745,1),(4834,1),(5717,1),(6872,1),(7097,1),(7119,1),(7828,1)}
4174:{4,5,7}:{(3616,1),(3621,1),(3637,1),(4576,1),(4582,1),(4741,1),(4743,1),(4831,1)}
4175:{1,4,5,7}:{(3618,1),(3620,1),(3636,1),(3759,1),(4575,1),(4712,1),(4740,1),(4744,1),(4833,1),(5701,1),(5707,1),(5861,1),(6775,1),(6803,1),(7976,1),(8517,1),(9072,1),(9445,1)}
4176:{1,4,5}:{(3640,1),(3760,1),(3883,1),(4837,1),(4985,1),(5745,1),(5888,1),(6978,1),(6980,1),(6984,1)}
4177:{1,3,4,5}:{(3641,1),(3760,1),(3864,1),(3883,1),(4836,1),(4894,1),(4901,1),(4985,1),(4993,1),(4996,1),(5745,1),(5760,1),(5858,1),(5888,1),(6019,1),(6049,1),(6146,1),(6160,1),(6847,1),(6923,1),(6978,2),(6980,1),(6984,1),(7124,1),(7183,1),(7232,1),(7927,1),(7958,1)}
4178:{3,5}:{(3642,1),(3864,1),(4968,1)}
4179:{5}:{(3639,1)}
4180:{1,4,5,7}:{(3646,1),(3649,1),(3773,1),(4600,1),(4613,1),(4682,1),(4969,1),(4976,1),(5055,1),(5890,1),(5896,1),(6775,1),(6803,1),(6880,1),(7976,1)}
4181:{4,5,6,7}:{(3645,1),(3648,1),(3899,1),(4602,1),(4612,1),(4679,1),(4850,1),(4852,1),(5738,1),(6784,1),(6798,1),(7030,1),(7201,1),(7717,1),(7753,1),(7812,1),(8483,1)}
4182:{1,4,5,7}:{(3643,1),(3650,1),(3773,1),(4601,1),(4614,1),(4680,1),(4969,1),(4976,1),(5055,1),(5887,1),(5897,1),(6781,1),(6794,1),(6881,1),(6982,1),(7715,1),(7802,1),(7914,1),(7919,1),(7977,1)}
4183:{4,5,6,7}:{(3644,1),(3647,1),(3899,1),(4599,1),(4611,1),(4681,1),(4850,1),(4852,1),(5736,1),(6780,1),(6802,1),(7033,1),(7201,1),(7740,1),(8480,1)}
4184:{1,2,4,6}:{(3533,1),(3652,1),(3659,1),(3840,1),(4690,1),(4707,1),(4763,1),(4794,1),(5907,1),(7168,1)}
4185:{1,4,6}:{(3531,1),(3654,1),(3661,1),(4687,1),(4764,1)}
4186:{1,2,4,6}:{(3534,1),(3651,1),(3662,1),(3840,1),(4688,1),(4710,1),(4766,1),(4975,1),(7168,1)}
4187:{1,4,6}:{(3532,1),(3653,1),(3660,1),(4689,1),(4709,1),(4765,1),(4791,1)}
4188:{1,4,5,7}:{(3535,1),(3653,1),(3655,1),(3663,1),(4694,1),(4701,1),(4713,1),(4756,1),(4761,1),(4765,1),(4798,1),(5746,1),(5876,1),(5915,1),(6827,1)}
4189:{1,2,4,5,7}:{(3536,1),(3651,1),(3656,1),(3664,1),(3842,1),(4692,1),(4699,1),(4714,1),(4755,1),(4762,1),(4766,1),(5705,1),(5744,1),(5860,1),(5865,1),(5918,1),(6061,1),(6786,1),(6823,1),(6828,1),(7131,1),(7716,1),(7837,1)}
4190:{1,4,5,7}:{(3538,1),(3654,1),(3658,1),(3666,1),(4693,1),(4712,1),(4757,1),(4759,1),(4764,1),(5745,1),(5861,1),(5917,1),(6825,1),(6829,1)}
4191:{1,2,4,5,7}:{(3537,1),(3652,1),(3657,1),(3665,1),(3842,1),(4691,1),(4700,1),(4711,1),(4758,1),(4760,1),(4763,1),(4796,1),(5706,1),(5743,1),(5872,1),(5878,1),(5912,1),(5916,1),(6061,1),(6799,1),(6815,1),(6826,1),(7031,1),(7131,1),(7779,1),(7811,1),(7929,1),(8009,1),(8514,1)}
4192:{1,2,4,6}:{(3540,1),(3657,1),(3687,1),(3847,1),(4697,1),(4705,1),(4758,1),(4981,1),(5944,1),(6157,1),(7102,1),(7222,1),(7815,1),(7985,1),(7990,1),(8050,1)}
4193:{1,2,4,6}:{(3542,1),(3656,1),(3688,1),(3847,1),(4698,1),(4703,1),(4755,1),(5744,1)}
4194:{1,4,6}:{(3541,1),(3655,1),(3690,1),(4696,1),(4756,1),(4981,1),(7815,1)}
4195:{1,4,6}:{(3539,1),(3658,1),(3689,1),(4695,1),(4757,1),(5745,1)}
4196:{1,2,5}:{(3549,1),(3589,1),(3673,1),(4701,1),(4756,1),(4821,1),(6783,1),(7186,1)}
4197:{1,2,5}:{(3550,1),(3590,1),(3674,1),(4700,1),(4819,1),(7186,1)}
4198:{1,2,5,7}:{(3547,1),(3587,1),(3672,1),(3917,1),(4699,1),(4755,1),(4777,1),(4992,1),(5860,1),(5889,1),(6180,1),(6786,1),(6970,1),(7173,1),(7214,1),(7249,1)}
4199:{1,2,5,7}:{(3548,1),(3588,1),(3671,1),(3917,1),(4702,1),(4757,1),(4778,1),(4992,1),(5861,1),(5888,1),(5917,1),(5924,1),(6785,1),(6973,1),(7173,1),(7249,1),(8008,1)}
4200:{1,2,6}:{(3553,1),(3592,1),(3665,1),(4811,1),(5730,1),(8079,1)}
4201:{1,2,6}:{(3554,1),(3593,1),(3663,1),(4761,1),(4813,1),(6889,1),(7751,1),(8079,1)}
4202:{1,2,6}:{(3551,1),(3591,1),(3664,1),(6104,1)}
4203:{1,2,6}:{(3552,1),(3594,1),(3666,1),(4759,1),(6104,1),(6887,1)}
4204:{1,2,7}:{(3555,1),(3595,1),(3659,1),(4816,1)}
4205:{1,2,7}:{(3558,1),(3596,1),(3660,1),(4765,1),(4815,1)}
4206:{1,2,5,7}:{(3557,1),(3598,1),(3662,1),(3922,1),(4766,1),(4779,1),(5059,1),(6188,1),(7053,1),(7131,1)}
4207:{1,2,5,7}:{(3556,1),(3597,1),(3661,1),(3922,1),(4764,1),(4781,1),(5917,1)}
4208:{1,2,5}:{(3560,1),(3599,1),(3667,1),(4769,1),(4786,1),(4830,1),(7222,1),(8548,1)}
4209:{1,2,5,7}:{(3559,1),(3600,1),(3669,1),(3929,1),(4767,1),(4784,1),(4829,1),(6806,1),(7835,1)}
4210:{1,2,5,7}:{(3561,1),(3601,1),(3670,1),(3929,1),(4768,1),(4783,1),(4827,1),(5924,1),(6814,1),(9491,1)}
4211:{1,2,5}:{(3562,1),(3602,1),(3668,1),(4770,1),(4828,1),(7222,1)}
4212:{1,5}:{(3565,1),(3675,1),(4968,1)}
4213:{1,2,4,5}:{(3566,1),(3676,1),(3869,1),(3925,1),(4755,1),(4840,1),(4973,1),(4993,1),(5007,1),(5037,1),(5064,1),(5744,1),(5889,1),(5962,1),(6019,1),(6061,1),(6176,1),(6180,1),(6183,1),(6194,1),(6980,1),(6983,1),(6984,1),(7170,1),(7183,1),(7220,1),(7230,1),(7232,1),(7926,1),(7992,1)}
4214:{1,2,5}:{(3563,1),(3677,1),(3869,1),(4968,1),(6061,1)}
4215:{1,4,5}:{(3564,1),(3678,1),(3925,1),(4757,1),(4841,1),(5007,1),(5745,1),(5888,1),(6978,1),(6984,1)}
4216:{1,2,4,7}:{(3546,1),(3606,1),(3670,1),(3939,1),(4590,1),(4595,1),(4789,1),(5059,1),(7245,1)}
4217:{1,2,4,6,7}:{(3545,1),(3605,1),(3669,1),(3938,1),(3939,1),(4588,1),(4589,1),(4767,1),(4790,1),(5041,1),(5044,1),(5059,1),(5060,1),(5715,1),(5928,1),(5936,1),(5939,1),(5955,1),(6167,1),(6175,1),(6886,1),(7017,1),(7039,1),(7083,1),(7102,1),(7131,1),(7137,1),(7206,1),(7245,1),(7783,1),(8046,1),(8050,1),(8075,1),(8106,1),(8601,1)}
4218:{1,2,4,6}:{(3544,1),(3604,1),(3668,1),(3938,1),(4583,1),(4586,1),(4770,1),(4787,1),(5060,1),(5712,1),(7222,1),(7985,1),(7990,1),(8600,1)}
4219:{1,2,4}:{(3543,1),(3603,1),(3667,1),(4584,1),(4598,1),(4788,1),(5704,1),(8548,1)}
4220:{1,2,4,7}:{(3570,1),(3676,1),(3694,1),(3873,1),(4727,1),(4846,1),(4980,1),(5070,1),(6127,1),(6173,1),(6188,1),(6191,1),(7053,1),(7131,1),(7245,1),(8524,1)}
4221:{1,4,7}:{(3568,1),(3675,1),(3692,1),(4728,1),(4798,1),(4983,1)}
4222:{1,2,4,7}:{(3567,1),(3677,1),(3691,1),(3873,1),(4729,1),(4796,1),(4983,1),(5070,1),(6173,1),(6188,1),(7131,1),(7779,1)}
4223:{1,4,7}:{(3569,1),(3678,1),(3693,1),(4843,1),(6984,1)}
4224:{1,2,3,5,6}:{(3573,1),(3607,1),(3680,1),(3687,1),(3916,1),(4705,1),(4758,1),(4775,1),(4785,1),(4804,1),(4810,1),(4899,1),(4942,1),(5077,1),(5762,1),(5769,1),(5824,1),(5836,1),(5890,1),(5894,1),(5951,1),(5968,1),(6085,1),(6144,1),(6180,1),(6205,1),(6869,1),(6990,1),(7062,1),(7065,1),(7124,1),(7153,1),(7186,1),(7222,1),(7763,1),(7985,1),(8012,1),(8056,1),(8079,1),(8533,1),(8643,1)}
4225:{1,2,5,6}:{(3571,1),(3609,1),(3681,1),(3688,1),(4703,1),(4755,1),(4809,1),(5889,1),(5970,1),(6180,1)}
4226:{1,2,3,5,6}:{(3572,1),(3610,1),(3682,1),(3690,1),(3916,1),(4704,1),(4756,1),(4776,1),(4786,1),(4805,1),(4808,1),(4899,1),(4942,1),(5077,1),(5725,1),(5759,1),(5768,1),(5823,1),(5838,1),(5887,1),(5893,1),(5923,1),(5954,1),(5967,1),(6144,1),(6205,1),(6783,1),(6867,1),(6889,1),(6919,1),(6992,1),(7036,1),(7044,1),(7065,1),(7186,1),(7222,1),(7751,1),(7755,1),(7763,1),(7956,1),(7983,1),(8011,1),(8079,1),(8533,1),(8548,1),(8644,1),(8732,1),(9176,1),(9509,1)}
4227:{1,2,5,6}:{(3574,1),(3608,1),(3679,1),(3689,1),(4706,1),(4757,1),(4783,1),(4807,1),(5888,1),(5924,1),(5969,1),(7764,1),(8544,1)}
4228:{1,3}:{(3575,1),(3919,1),(4728,1)}
4229:{1,3}:{(3576,1),(3919,1),(4729,1)}
4230:{1,5,7}:{(3577,1),(3946,1),(3948,1),(4727,1),(4809,1),(5889,1)}
4231:{1,5,7}:{(3578,1),(3946,1),(3948,1),(4730,1),(4807,1),(5888,1)}
4232:{1,2,3,5,6}:{(3612,1),(3661,1),(3686,1),(3817,1),(3951,1),(4687,1),(4708,1),(4812,1),(4818,1),(4824,1),(4965,1),(5721,1),(5763,1),(5826,1),(5843,1),(5861,1),(5919,1),(6104,1),(6761,1),(6863,1),(6887,1),(6915,1),(6957,1),(7016,1),(7766,1),(7874,1),(8545,1),(8561,1),(9072,1),(9096,1)}
4233:{1,2,3,5,6}:{(3614,1),(3662,1),(3685,1),(3817,1),(3951,1),(4688,1),(4710,1),(4814,1),(4817,1),(4823,1),(4965,1),(5766,1),(5825,1),(5860,1),(5922,1),(6092,1),(6104,1),(6864,1),(6954,1),(7017,1)}
4234:{2,3,6}:{(3613,1),(3659,1),(3684,1),(4707,1),(4816,1)}
4235:{2,3,6}:{(3611,1),(3660,1),(3683,1),(4689,1),(4709,1),(4815,1),(4826,1)}
4236:{1,2,3,5,7}:{(3615,1),(3664,1),(3685,1),(3698,1),(3818,1),(4692,1),(4714,1),(4814,1),(5860,1),(6091,1),(6930,1)}
4237:{1,2,3,5,7}:{(3618,1),(3666,1),(3686,1),(3696,1),(3818,1),(4693,1),(4712,1),(4812,1),(4833,1),(5853,1),(5861,1),(6915,1),(6930,1)}
4238:{2,3,5,7}:{(3617,1),(3665,1),(3684,1),(3697,1),(4711,1),(4811,1),(4816,1),(4819,1),(7031,1),(7119,1)}
4239:{2,3,5,7}:{(3616,1),(3663,1),(3683,1),(3695,1),(4694,1),(4713,1),(4813,1),(4815,1),(4821,1),(4831,1),(7031,1),(7119,1),(7737,1),(8501,1)}
4240:{1,2,5}:{(3620,1),(3700,1),(3821,1),(4774,1),(4824,1),(8545,1)}
4241:{1,2,3,5}:{(3619,1),(3702,1),(3821,1),(3930,1),(4773,1),(4823,1),(4961,1),(5064,1),(5922,1),(6005,1),(6061,1),(6903,1),(7853,1)}
4242:{2,3,5}:{(3622,1),(3701,1),(3930,1),(4771,1),(4825,1),(6902,1)}
4243:{2,5}:{(3621,1),(3699,1),(4826,1)}
4244:{1,2,3,6,7}:{(3580,1),(3626,1),(3687,1),(3691,1),(3931,1),(4782,1),(4800,1),(4804,1),(4810,1),(5061,1),(5076,1),(5832,1),(5988,1),(6097,1),(6173,1),(6869,1),(7080,1),(7124,1),(7131,1),(7773,1),(7779,1),(7946,1),(8012,1),(8022,1),(8040,1),(8079,1),(8569,1)}
4245:{1,2,3,6,7}:{(3579,1),(3624,1),(3690,1),(3692,1),(3931,1),(4780,1),(4801,1),(4805,1),(4808,1),(5076,1),(5833,1),(5967,1),(6867,1),(7036,1),(7751,1),(7889,1),(7949,1),(7979,1),(8011,1),(8079,1),(8569,1),(9090,1)}
4246:{1,2,6,7}:{(3581,1),(3625,1),(3689,1),(3693,1),(4799,1),(4807,1),(5057,1),(5969,1),(6123,1),(7039,1)}
4247:{1,2,6,7}:{(3582,1),(3623,1),(3688,1),(3694,1),(4809,1),(5057,1),(6123,1),(6167,1),(7078,1),(7781,1),(8106,1)}
4248:{2,3,6}:{(3627,1),(3668,1),(3962,1),(4594,1),(4828,1),(6889,1)}
4249:{2,3}:{(3629,1),(3667,1),(4593,1)}
4250:{2,3,6,7}:{(3630,1),(3669,1),(3962,1),(3963,1),(4587,1),(4829,1),(5082,1),(5083,1),(6771,1),(6947,1)}
4251:{2,3,7}:{(3628,1),(3670,1),(3963,1),(4592,1),(6902,1),(6947,1)}
4252:{2,3,4,6}:{(3631,1),(3674,1),(3697,1),(3961,1),(4593,1),(4630,1),(4811,1),(4819,1),(4981,1),(4984,1),(5730,1),(5769,1),(5849,1),(5884,1),(5944,1),(6051,1),(6769,1)}
4253:{1,2,3,6,7}:{(3634,1),(3672,1),(3698,1),(3826,1),(3965,1),(4597,1),(4629,1),(4698,1),(4814,1),(4822,1),(5092,1),(5729,1),(5770,1),(5834,1),(5906,1),(5969,1),(6047,1),(6199,1),(6233,1),(6772,1),(6819,1),(7002,1),(7039,1),(7052,1),(7080,1),(7124,1),(7131,1),(8040,1),(8545,1)}
4254:{1,2,3,6,7}:{(3632,1),(3671,1),(3696,1),(3826,1),(3965,1),(4590,1),(4591,1),(4628,1),(4695,1),(4812,1),(4820,1),(5092,1),(5731,1),(5767,1),(5831,1),(5835,1),(5904,1),(5969,1),(6047,1),(6199,1),(6233,1),(6808,1),(6941,1),(7003,1),(7052,1),(8021,1)}
4255:{2,3,4,6}:{(3633,1),(3673,1),(3695,1),(3961,1),(4594,1),(4598,1),(4627,1),(4696,1),(4813,1),(4821,1),(4981,1),(4984,1),(5722,1),(5768,1),(5838,1),(5850,1),(5886,1),(5944,1),(6051,1),(6062,1),(6758,1),(6767,1),(6848,1),(6889,1),(7815,1),(7863,1)}
4256:{2,4,7}:{(3637,1),(3699,1),(3962,1),(4594,1),(4831,1)}
4257:{1,2,7}:{(3636,1),(3700,1),(3828,1),(4596,1),(8545,1)}
4258:{1,2,3,7}:{(3638,1),(3702,1),(3828,1),(3938,1),(4583,1),(4959,1),(5070,1),(6903,1),(6938,1),(7053,1),(7222,1),(8500,1),(8545,1),(8630,1)}
4259:{2,3,4,7}:{(3635,1),(3701,1),(3938,1),(3962,1),(4586,1),(4834,1),(4959,1),(5049,1),(6790,1),(6938,1),(7131,1),(7137,1),(7849,1),(8604,1),(8630,1)}
4260:{2,3,4,6}:{(3642,1),(3701,1),(3939,1),(3963,1),(4595,1),(4825,1),(4835,1),(4958,1),(4960,1),(5048,1),(5050,1),(5732,1),(5835,1),(5857,1),(5943,1),(5947,1),(6019,1),(6098,1),(6102,1),(6847,1),(6902,1),(7102,1)}
4261:{2,4,6}:{(3639,1),(3699,1),(3963,1),(4592,1),(4826,1),(4838,1),(5050,1),(5733,1),(5943,1),(5949,1)}
4262:{1,2,3,6}:{(3641,1),(3702,1),(3829,1),(3939,1),(4590,1),(4836,1),(4958,1),(4960,1),(5069,1),(5071,1),(5835,1),(5969,1),(6098,1),(6187,1),(8544,1)}
4263:{1,2,6}:{(3640,1),(3700,1),(3829,1),(4597,1),(4837,1),(5071,1),(8545,1)}
4264:{1,3,4,6}:{(3585,1),(3675,1),(3964,1),(4689,1),(4696,1),(4842,1),(4844,1),(4907,1),(5029,1),(5908,1),(5993,1),(6157,1)}
4265:{1,2,3,6}:{(3586,1),(3676,1),(3894,1),(4688,1),(4698,1),(4840,1),(4846,1),(4903,1),(4958,1),(5024,1),(5090,1),(5836,1),(5906,1),(5999,1),(6151,1),(7124,1),(8540,1),(8630,1)}
4266:{1,3,6}:{(3583,1),(3678,1),(4687,1),(4695,1),(4841,1),(4843,1),(4903,1),(5024,1),(7954,1)}
4267:{1,2,3,4,6}:{(3584,1),(3677,1),(3894,1),(3964,1),(4690,1),(4697,1),(4839,1),(4845,1),(4907,1),(4958,1),(5029,1),(5090,1),(5844,1),(5907,1),(5991,1),(6004,1),(6019,1),(6157,1),(6206,1),(6209,1),(6213,1),(7102,1),(7124,1),(7170,1),(8059,1)}
4268:{5,6,7}:{(3703,1),(3705,1),(3708,1),(4847,1)}
4269:{5,6}:{(3706,1),(3718,1),(4847,1)}
4270:{4,5}:{(3706,1),(3722,1),(4869,1),(4910,1),(6014,1)}
4271:{4,6}:{(3710,1),(3769,1),(4870,1)}
4272:{4,5,6}:{(3709,1),(3770,1),(3968,1),(3970,1),(4851,1),(4871,1)}
4273:{4,5}:{(3720,1),(3771,1),(4872,1)}
4274:{4,5,7}:{(3709,1),(3725,1),(3772,1),(4599,1),(4602,1),(4852,1),(4873,1),(6009,1),(7030,1)}
4275:{4,5,7}:{(3707,1),(3719,1),(3729,1),(4847,1),(4860,1),(4912,1),(6105,1)}
4276:{4,5,6}:{(3711,1),(3716,1),(3728,1),(4849,1),(4853,1),(4854,1),(4913,1),(6008,1),(6013,1),(6823,1),(7788,1)}
4277:{4,5,7}:{(3711,1),(3724,1),(3730,1),(4853,1),(4914,1)}
4278:{4,6}:{(3712,1),(3788,1),(4856,1)}
4279:{4,5}:{(3723,1),(3789,1),(4862,1),(5744,1),(5745,1),(6014,1),(6019,1),(6847,1)}
4280:{4,6,7}:{(3713,1),(3714,1),(3750,1),(4609,1),(4916,1),(6829,1),(7787,1)}
4281:{4,5,7}:{(3713,1),(3715,1),(3727,1),(4608,1),(4856,1),(4917,1),(6829,1)}
4282:{4,6}:{(3717,1),(3809,1)}
4283:{4,7}:{(3716,1),(3810,1)}
4284:{4,6,7}:{(3718,1),(3721,1),(3790,1),(4847,1)}
4285:{4,7}:{(3720,1),(3791,1)}
4286:{4,6,7}:{(3722,1),(3724,1),(3811,1),(4613,1),(4853,1),(4855,1),(4860,1),(5739,1),(5744,1),(6013,1),(6014,1),(6015,1),(6017,1),(6826,1),(6828,1),(7098,1),(7102,1),(7103,1),(7788,1)}
4287:{4,7}:{(3723,1),(3812,1)}
4288:{4,6}:{(3726,1),(3817,1),(4849,1),(4864,1),(6832,1)}
4289:{4,7}:{(3726,1),(3818,1),(4863,1)}
4290:{3,5,6}:{(3703,1),(3730,1),(3731,1),(4853,1),(4986,1),(6039,1),(6106,1)}
4291:{3,5,7}:{(3705,1),(3728,1),(3742,1),(4847,1),(4854,1),(4987,1),(5095,1),(5866,1),(6007,1),(8026,1)}
4292:{3,5,7}:{(3706,1),(3746,1),(4847,1),(4855,1),(4867,1),(4869,1),(4888,1),(4988,1),(6007,1),(6021,1),(6037,1),(6105,1),(8026,1)}
4293:{3,5,6}:{(3707,1),(3729,1),(3737,1),(4869,1),(4872,1),(4989,1),(6037,1)}
4294:{3,6,7}:{(3708,1),(3731,1),(3732,1),(4990,1)}
4295:{3,5}:{(3709,1),(3748,1),(4991,1)}
4296:{3,5,7}:{(3710,1),(3747,1),(3974,1),(3976,1),(4870,1),(4992,1),(5102,1)}
4297:{3,4,5}:{(3712,1),(3743,1),(3974,1),(3976,1),(4875,1),(4901,1),(4934,1),(4993,1),(5104,1),(5106,1),(6220,1)}
4298:{3,4,5}:{(3711,1),(3744,1),(3751,1),(4862,1),(4869,1),(4894,1),(4931,1),(4996,1),(5745,1),(6014,1),(6019,1),(6049,1),(7124,1)}
4299:{3,4,6}:{(3716,1),(3736,1),(3752,1),(4880,1),(4932,1),(4997,1),(6013,1)}
4300:{3,4,5,7}:{(3717,1),(3736,1),(3745,1),(3753,1),(4617,1),(4869,1),(4879,1),(4880,1),(4887,1),(4933,1),(4998,1),(5754,1),(5819,1),(6014,1),(6021,1),(6022,1),(6897,1),(6913,1),(7098,1),(7099,1),(7124,1),(7720,1),(8040,1),(8041,1)}
4301:{3,4,6}:{(3718,1),(3731,1),(3741,1),(4668,1),(4853,1),(4867,1),(4897,1),(4999,1),(5739,1),(6008,1),(6013,1),(6039,1),(6106,1),(6864,1),(6869,1),(7102,1),(7163,1),(7788,1),(7795,1),(7842,1)}
4302:{3,4,6,7}:{(3719,1),(3737,1),(3739,1),(3792,1),(4853,1),(4882,1),(4898,1),(4935,1),(5000,1),(5754,1),(6039,1),(6106,1),(6877,1),(7102,1)}
4303:{3,4,6}:{(3720,1),(3738,1),(3793,1),(4872,1),(4882,1),(4899,1),(4936,1),(5001,1),(6030,1)}
4304:{3,4,5,7}:{(3721,1),(3732,1),(3740,1),(4674,1),(4847,1),(4854,1),(4880,1),(4881,1),(4900,1),(5002,1),(5737,1),(5754,1),(5782,1),(5866,1),(6022,1),(6036,1),(6041,1),(6826,1),(6850,1),(6855,1),(6877,1),(6959,1),(7098,1),(7104,1),(8026,1),(8040,1)}
4305:{3,4,6}:{(3722,1),(3745,1),(3813,1),(4869,1),(4937,1),(5003,1),(6014,1),(7124,1)}
4306:{3,4,6}:{(3723,1),(3743,1),(3815,1),(4876,1),(4884,1),(4903,1),(4938,1),(5004,1),(7717,1),(8529,1),(9123,1)}
4307:{3,4,7}:{(3724,1),(3744,1),(3816,1),(4860,1),(4939,1),(5005,1)}
4308:{3,4,6}:{(3749,1),(3819,1),(3971,1),(3972,1),(4868,1),(4885,1),(6020,1),(7954,1),(8537,1)}
4309:{3,4,6,7}:{(3725,1),(3747,1),(3748,1),(3814,1),(4619,1),(4621,1),(4870,1),(4873,1),(4884,1),(4962,1),(5006,1),(5102,1),(6026,1),(6033,1),(6035,1),(6224,1),(7248,1),(9123,1),(9465,1)}
4310:{3,4}:{(3726,1),(3820,1),(4862,1),(5007,1),(5744,1),(5745,1),(6014,1),(6019,1),(6832,1),(7124,1),(7716,1)}
4311:{3,5}:{(3762,1),(3830,1),(4860,1)}
4312:{3,5,6}:{(3751,1),(3761,1),(3832,1),(4868,1),(4890,1),(5763,1),(6020,1),(6021,1),(6220,1),(6860,1),(6863,1),(7248,1),(7954,1),(8580,1)}
4313:{3,5,7}:{(3751,1),(3767,1),(3833,1),(4869,1),(4888,1),(4889,1),(5761,1),(6021,1),(6860,1),(7124,1),(8040,1)}
4314:{3,6}:{(3753,1),(3834,1)}
4315:{3,5,7}:{(3752,1),(3757,1),(3835,1),(4880,1),(4892,1),(4900,1),(5102,1),(5754,1),(6047,1),(8040,1)}
4316:{3,6,7}:{(3754,1),(3755,1),(3836,1),(6863,1)}
4317:{3,5,6}:{(3754,1),(3756,1),(3831,1),(4624,1),(4870,1),(5767,1),(5770,1),(6039,1),(6860,1),(6863,1),(7248,1),(7954,1)}
4318:{3,4,7}:{(3713,1),(3755,1),(3758,1),(4740,1),(4864,1),(4951,1),(6829,1)}
4319:{3,4,6}:{(3714,1),(3754,1),(3759,1),(4625,1),(4744,1),(4863,1),(4952,1),(5800,1),(6008,1),(6761,1),(6863,1),(7787,1),(7796,1),(7842,1)}
4320:{3,4,5,6}:{(3715,1),(3758,1),(3760,1),(3977,1),(3978,1),(4624,1),(4751,1),(4849,1),(4875,1),(4896,1),(4953,1),(5098,1),(5099,1),(5747,1),(5763,1),(6008,1),(6009,1),(6013,1),(6052,1),(6220,1),(6221,1),(6823,1),(6825,1),(6832,1),(6839,1),(6841,1),(6844,1),(6860,1),(6863,1),(7094,1),(7246,1),(7248,1),(7716,1),(7720,1),(7721,1),(7787,1),(7788,1),(7796,1),(7824,1),(7828,1),(7954,1),(8479,1),(8489,1),(8575,1),(8580,1)}
4321:{3,4,6,7}:{(3757,1),(3761,1),(3837,1),(4880,1),(4885,1),(4890,1),(4892,1),(4954,1),(5102,1),(5779,1),(5831,1),(6016,1),(6020,1),(6047,1),(6224,1),(6829,1),(6863,1),(7121,1),(7127,1),(7248,1),(7796,1),(8040,1),(9086,1)}
4322:{3,6}:{(3764,1),(3838,1)}
4323:{3,7}:{(3763,1),(3839,1),(7124,1)}
4324:{3,6}:{(3765,1),(3840,1),(4900,1)}
4325:{3}:{(3841,1)}
4326:{3,5,7}:{(3765,1),(3768,1),(3842,1),(4888,1),(4897,1),(4900,1)}
4327:{3,4,6}:{(3763,1),(3766,1),(3843,1),(4894,1),(4903,1),(4904,1),(4958,1),(6019,1),(6039,1),(6049,1),(7102,1),(7124,1)}
4328:{3}:{(3844,1)}
4329:{3,4,7}:{(3764,1),(3766,1),(3845,1),(4629,1),(4630,1),(4860,1),(4902,1),(4959,1),(6030,1),(7124,1),(8594,1)}
4330:{3,4,5}:{(3765,1),(3766,1),(3846,1),(4634,1),(4894,1),(4901,1),(4905,1),(4961,1),(5766,1),(6019,1),(6049,1),(6833,1),(7124,1),(8041,1)}
4331:{3,4,6}:{(3762,1),(3768,1),(3847,1),(4698,1),(4860,1),(4888,1),(4897,1),(5744,1),(6013,1)}
4332:{3,4}:{(3823,1),(3848,1),(5029,1),(6019,1)}
4333:{2,5,6}:{(3703,1),(3772,1),(3775,1),(4635,1),(4852,1),(8609,1),(8618,1)}
4334:{2,5,6,7}:{(3704,1),(3769,1),(3774,1),(3983,1),(3984,1),(4850,1),(6225,1),(7014,1),(7753,1)}
4335:{2,5,7}:{(3705,1),(3770,1),(3780,1),(4851,1),(9043,1)}
4336:{2,5,6}:{(3707,1),(3771,1),(3782,1),(4636,1),(4910,1),(4912,1),(7132,1)}
4337:{2,5}:{(3711,1),(3785,1)}
4338:{2,4,6,7}:{(3708,1),(3774,1),(3775,1),(3776,1),(4647,1),(4850,1),(4909,1),(4930,1),(6008,1),(6011,1),(6057,1),(7014,1),(7129,1),(7796,1)}
4339:{2,7}:{(3713,1),(3777,1)}
4340:{2,6}:{(3714,1),(3778,1)}
4341:{2,5,6}:{(3715,1),(3777,1),(3779,1),(4640,1),(4917,1),(4920,1),(6887,1)}
4342:{2,4,6}:{(3716,1),(3777,1),(3781,1),(4913,1),(4919,1),(4932,1),(6887,1)}
4343:{2,4,5,7}:{(3717,1),(3778,1),(3781,1),(3786,1),(4646,1),(4910,1),(4914,1),(4918,1),(4919,1),(4925,1),(4933,1),(5798,1),(6014,1),(6053,1),(6054,1),(6055,1),(6061,1),(6065,1),(6880,1),(7098,1),(7099,1),(7130,1),(7131,1),(7836,1),(7837,1),(7841,1)}
4344:{2,4,5}:{(3712,1),(3779,1),(3787,1),(4920,1),(4926,1),(4934,1)}
4345:{2,4,6,7}:{(3719,1),(3782,1),(3783,1),(3794,1),(4648,1),(4912,1),(4921,1),(4935,1),(6799,1),(7102,1),(7131,1),(7749,1)}
4346:{2,4,6}:{(3720,1),(3784,1),(3795,1),(4605,1),(4606,1),(4921,1),(4936,1),(6062,1)}
4347:{2,4,6}:{(3722,1),(3786,1),(3799,1),(4910,1),(4937,1),(6014,1)}
4348:{2,4,6}:{(3723,1),(3787,1),(3801,1),(4915,1),(4923,1),(4938,1),(9123,1)}
4349:{2,4,7}:{(3724,1),(3785,1),(3800,1),(4914,1),(4939,1),(7131,1)}
4350:{2,4}:{(3726,1),(3821,1),(6832,1)}
4351:{2,3,5,7}:{(3727,1),(3788,1),(3798,1),(3983,1),(3984,1),(4856,1),(4917,1),(5054,1),(5101,1),(5102,1),(6047,1),(6079,1)}
4352:{2,3,5,6}:{(3728,1),(3770,1),(3789,1),(3805,1),(4635,1),(4637,1),(4857,1),(4871,1),(4913,1),(4928,1),(5052,1),(5107,1),(5109,1),(5747,1),(5749,1),(5789,1),(5826,1),(5921,1),(6021,1),(6044,1),(6220,1),(6225,1),(6776,1),(6887,1),(6895,1),(6927,1),(7106,1),(7130,1),(7248,1),(8032,1),(8045,1),(8054,1),(8579,1),(8580,2),(8609,1),(9043,2),(9053,1),(9456,1),(9506,1)}
4353:{2,3,5,7}:{(3729,1),(3771,1),(3806,1),(4661,1),(4858,1),(4872,1),(4912,1),(4929,1),(4942,1),(5051,1),(5791,1),(5808,1),(6037,1),(6043,1),(6105,1),(6924,1),(7031,1),(7119,1),(7132,1),(8056,1)}
4354:{2,3,5,7}:{(3730,1),(3772,1),(3789,1),(3808,1),(4659,1),(4859,1),(4873,1),(4914,1),(4927,1),(5053,1),(5792,1),(5809,1),(6021,1),(6045,1),(6164,1),(6895,1),(7030,1),(7130,1),(7150,1),(8032,1),(8054,1),(8609,1)}
4355:{3,5,7}:{(3773,1),(3793,1),(4872,1),(4882,1),(5055,1)}
4356:{2,5,7}:{(3733,1),(3794,1),(3795,1),(4664,1),(4921,1)}
4357:{2,3,6}:{(3731,1),(3775,1),(3797,1),(4670,1),(4870,1),(5057,1),(6887,1),(7248,1)}
4358:{2,3,5,7}:{(3732,1),(3776,1),(3796,1),(3802,1),(4672,1),(4930,1),(5058,1),(5095,1),(5096,1),(5101,1),(5102,1),(6055,1),(6079,1),(7836,1),(7847,1)}
4359:{2,6,7}:{(3734,1),(3799,1),(3800,1),(4665,1),(6887,1),(6889,1),(7131,1)}
4360:{2,5,7}:{(3735,1),(3800,1),(3801,1),(4666,1),(4923,1),(9491,1)}
4361:{2,3,5}:{(3736,1),(3781,1),(3807,1),(4932,1),(4941,1),(5064,1),(6061,1),(6903,1)}
4362:{2,3,6}:{(3737,1),(3782,1),(3804,1),(4667,1),(5065,1),(6106,1)}
4363:{2,3,5,7}:{(3739,1),(3783,1),(3803,1),(4673,1),(4912,1),(4914,1),(4935,1),(4939,1),(4956,1),(5066,1),(7131,1)}
4364:{2,3,5}:{(3738,1),(3784,1),(4615,1),(4617,1),(4677,1),(4678,1),(4872,1),(4936,1),(5067,1)}
4365:{2,3,4,6,7}:{(3742,1),(3780,1),(3798,1),(3802,1),(3805,1),(4647,1),(4649,1),(4856,1),(4919,1),(4928,1),(4930,1),(4954,1),(5068,1),(5102,1),(5103,1),(5112,1),(5751,1),(5753,1),(5797,1),(5831,1),(5834,1),(5940,1),(6011,1),(6016,1),(6034,1),(6047,1),(6057,1),(6078,1),(6079,1),(6100,1),(6224,1),(6805,1),(6828,1),(6829,1),(6941,1),(6949,1),(7014,1),(7098,1),(7104,1),(7121,1),(7127,1),(7131,1),(7135,1),(7142,1),(7146,1),(7152,1),(7248,1),(7796,1),(7806,1),(7847,1),(7848,1),(7879,1),(8036,1),(8040,1),(8058,1),(8622,1),(8750,1),(9465,1)}
4366:{2,3,6}:{(3744,1),(3785,1),(3807,1),(4931,1),(4939,1),(5069,1),(6903,1)}
4367:{2,3,7}:{(3745,1),(3786,1),(3807,1),(4678,1),(4937,1),(5070,1),(6903,1)}
4368:{2,3}:{(3743,1),(3787,1),(5071,1)}
4369:{2,3,4,7}:{(3749,1),(3822,1),(3986,1),(3988,1),(4862,1),(4885,1),(4887,1),(4940,1),(4941,1),(5104,1),(6016,1),(6065,1),(6224,1),(6832,1),(7716,1),(7819,1),(7841,1),(7895,1),(8496,1),(8537,1),(9107,1)}
4370:{2,3,5,6,7}:{(3750,1),(3790,1),(3809,1),(3810,1),(3895,1),(4656,1),(4847,1),(4861,1),(4866,1),(4892,1),(4916,1),(4947,1),(5754,1),(5830,1),(6007,1),(6022,1),(6036,1),(6053,1),(6057,1),(6078,1),(7128,1),(7131,1),(7152,1),(7842,1),(8026,1)}
4371:{2,3,5}:{(3751,1),(3825,1),(3896,1),(4862,1)}
4372:{3,5,6,7}:{(3813,1),(3816,1),(3898,1),(4682,1),(4869,1),(4883,1),(4889,1),(4891,1),(4892,1),(4898,1),(5748,1),(5754,1),(5761,1),(5774,1),(6022,1),(6036,1),(6039,1),(6040,1),(6855,1),(6856,1),(6869,1),(7124,1),(7842,1),(8040,1)}
4373:{3,5,7}:{(3814,1),(3815,1),(3899,1),(4884,1),(5075,1),(5102,1),(6947,1),(9491,1)}
4374:{2,3,6}:{(3754,1),(3818,1),(3900,1),(4863,1)}
4375:{2,3,5,7}:{(3755,1),(3817,1),(3901,1),(3989,1),(3991,1),(4864,1),(4947,1),(4951,1),(5095,1),(5096,1),(6007,1),(6055,1)}
4376:{2,3,5,7}:{(3756,1),(3826,1),(3897,1),(3993,1),(3994,1),(4865,1),(4948,1),(5809,1),(6915,1),(8054,1)}
4377:{2,3,7}:{(3757,1),(3819,1),(3902,1),(4885,1)}
4378:{2,3,5,6}:{(3752,1),(3819,1),(3820,1),(3903,1),(4687,1),(4688,1),(4868,1),(4886,1),(4932,1),(4949,1),(4950,1),(5114,1),(5763,1),(5766,1),(5813,1),(5826,1),(5843,1),(6020,1),(6021,1),(6044,1),(6071,1),(6220,1),(6761,1),(6863,1),(6864,1),(6887,1),(6897,1),(6915,1),(6928,1),(7106,1),(7140,1),(7159,1),(7248,1),(7842,1),(7878,1),(7954,1),(8041,1),(8054,1),(8580,1),(8630,1),(8752,1),(9045,1),(9143,1),(9162,1),(9456,1)}
4379:{2,3,5,7}:{(3753,1),(3820,1),(3827,1),(3904,1),(4693,1),(4887,1),(4949,1),(5853,1),(6021,1),(6045,1),(6915,1),(7124,1),(7160,1),(8040,1),(8041,1),(8054,1),(8630,1)}
4380:{2,3,6}:{(3758,1),(3777,1),(3821,1),(4824,1),(4924,1),(4951,1),(6887,1)}
4381:{2,3,5,7}:{(3759,1),(3778,1),(3821,1),(3828,1),(4683,1),(4833,1),(4925,1),(4951,1),(4952,1),(5853,1),(6054,1),(6055,1),(6915,1),(7836,1),(8500,1),(9045,1)}
4382:{2,3,5}:{(3760,1),(3779,1),(3829,1),(4837,1),(4926,1),(5855,1),(6061,1),(6902,1),(6903,1),(7869,1)}
4383:{2,3,6}:{(3761,1),(3822,1),(3905,1),(6020,1),(6887,1),(7248,1),(7954,1)}
4384:{2,3,6}:{(3763,1),(3823,1),(3906,1),(4689,1),(4907,1),(4956,1),(7124,1),(8059,1)}
4385:{2,3,5,7}:{(3764,1),(3823,1),(3824,1),(3907,1),(4694,1),(4908,1),(4942,1),(4955,1),(4956,1),(4957,1),(4959,1),(6037,1),(6042,1),(6043,1),(6085,1),(6095,1),(7119,1),(7124,1),(7157,1),(8043,1),(8056,1),(8059,1),(8594,1)}
4386:{2,3,6}:{(3762,1),(3824,1),(3908,1),(4696,1),(4899,1),(4942,1),(6889,1)}
4387:{2,3}:{(3766,1),(3909,1)}
4388:{2,3,6,7}:{(3767,1),(3825,1),(3827,1),(3910,1),(4695,1),(4698,1),(4937,1),(4939,1),(4944,1),(4949,1),(5831,1),(6075,1),(6772,1),(6903,1),(7124,1),(7131,1),(7160,1),(7848,1),(8040,1)}
4389:{2,3,7}:{(3747,1),(3911,1),(3998,1),(3999,1),(4628,1),(4629,1),(6047,1)}
4390:{2,3,6}:{(3748,1),(3912,1),(3998,1),(4000,1),(4903,1),(4945,1)}
4391:{1,5}:{(3706,1),(3847,1),(4888,1)}
4392:{1,4,5,6}:{(3703,1),(3833,1),(3834,1),(4848,1),(4852,1),(4853,1),(4889,1),(4964,1),(4986,1),(5030,1),(6013,1),(6015,1),(6112,1),(6122,1),(6125,1),(6131,1),(6775,1),(6954,1),(7164,1),(7168,1),(7788,1)}
4393:{1,4,5,6,7}:{(3704,1),(3831,1),(3836,1),(4002,1),(4003,1),(4607,1),(4608,1),(4716,1),(4717,1),(4850,1),(4893,1),(5031,1),(5693,1),(5738,1),(5875,1),(5877,1),(5917,1),(6007,1),(6008,1),(6018,1),(6104,1),(6110,1),(6123,1),(6829,1),(6954,1),(6957,1),(6958,1),(6973,1),(7094,1),(7162,1),(7753,1),(7787,1),(7788,1),(7917,1),(8026,1),(8071,1),(8483,1),(8563,1),(8652,1)}
4394:{1,4,5,7}:{(3705,1),(3832,1),(3837,1),(4851,1),(4854,1),(4890,1),(4987,1),(5032,1),(5095,1),(5738,1),(5917,1),(6007,1),(6016,1),(6124,1),(6218,1),(6829,1),(6973,1),(7095,1),(7172,1),(7249,1),(7917,1),(8026,1),(9067,1)}
4395:{1,4,5,6}:{(3707,1),(3830,1),(3838,1),(4860,1),(4891,1),(4964,1),(4967,1),(4969,1),(4970,1),(4989,1),(5033,1),(6013,1),(6017,1),(6116,1),(6132,1),(6780,1),(7166,1),(7757,1),(7904,1)}
4396:{1,4,6,7}:{(3708,1),(3834,1),(3835,1),(3895,1),(4850,1),(4861,1),(4892,1),(4990,1),(6123,1),(6803,1)}
4397:{1,4,5}:{(3711,1),(3843,1),(3850,1),(4894,1),(4968,1),(5037,1),(6019,1),(6166,1),(7232,1)}
4398:{1,4,6}:{(3718,1),(3842,1),(3913,1),(4897,1),(4964,1),(6013,1)}
4399:{1,4,6,7}:{(3719,1),(3838,1),(3839,1),(3914,1),(4898,1),(4970,1),(4976,1),(5878,1),(6116,1),(6802,1),(7781,1),(8514,1)}
4400:{1,4,6}:{(3720,1),(3841,1),(3916,1),(4899,1),(4969,1),(4976,1),(6982,1)}
4401:{1,4,7}:{(3721,1),(3840,1),(3915,1),(4900,1)}
4402:{1,4,5}:{(3712,1),(3844,1),(3917,1),(4901,1),(4975,1),(4985,1),(6984,1)}
4403:{1,4,6}:{(3722,1),(3845,1),(3940,1),(4860,1),(4902,1),(4967,1),(4981,1),(5744,1),(5945,1),(6013,1),(6017,1),(6980,1),(7102,1),(7170,1)}
4404:{1,4,6}:{(3716,1),(3846,1),(3941,1),(4707,1),(4905,1),(4978,1),(5947,1),(6013,1)}
4405:{1,4,6}:{(3723,1),(3844,1),(3942,1),(4903,1),(4973,1),(4980,1),(6984,1)}
4406:{1,4,7}:{(3724,1),(3843,1),(3943,1),(4904,1),(4983,1),(6178,1)}
4407:{1,4,5,7}:{(3717,1),(3845,1),(3846,1),(3944,1),(4700,1),(4711,1),(4714,1),(4906,1),(4967,1),(4977,1),(4978,1),(5712,1),(5717,1),(5743,1),(5744,1),(5860,1),(5878,1),(6118,1),(6777,1),(6804,1),(6823,1),(6826,1),(6828,1),(6979,1),(6980,1),(7097,1),(7103,1),(7164,1),(7170,1),(7716,1),(7902,1),(7903,1),(7907,1),(7909,1),(7912,1),(7932,1),(8028,1),(8068,1),(8643,1),(9151,1)}
4408:{1,4,6}:{(3849,1),(3951,1),(3972,1),(3973,1),(4965,1),(4982,1),(6104,1)}
4409:{4,6}:{(3848,1),(3952,1),(4968,1),(4983,1),(6106,1)}
4410:{4,7}:{(3848,1),(3953,1),(4981,1),(4984,1)}
4411:{1,5,7}:{(3729,1),(3830,1),(3865,1),(4989,1)}
4412:{1,5,6}:{(3728,1),(3850,1),(3870,1),(4965,1),(4987,1),(5860,1),(6104,1),(6776,1)}
4413:{1,5,7}:{(3730,1),(3850,1),(3872,1),(4986,1),(7030,1)}
4414:{1,5,7}:{(3727,1),(3852,1),(3858,1)}
4415:{1,6}:{(3731,1),(3855,1)}
4416:{1,5,7}:{(3732,1),(3854,1),(3866,1),(4990,1)}
4417:{1,4,5,7}:{(3733,1),(3853,1),(3856,1),(3857,1),(4715,1),(4718,1),(4724,1),(4976,1),(5014,1),(5056,1),(5691,1),(5697,1),(5876,1),(5878,1),(5915,1),(6105,1),(6120,1),(6827,1),(6959,1),(7942,1),(8514,1),(9073,1),(9425,1)}
4418:{1,4,7}:{(3713,1),(3860,1),(3875,1),(4742,1),(5059,1),(6829,1)}
4419:{1,4,6}:{(3714,1),(3863,1),(3874,1),(4745,1),(5060,1),(6013,1),(7787,1),(8079,1)}
4420:{1,4,6,7}:{(3734,1),(3859,1),(3861,1),(3876,1),(4723,1),(5015,1),(5061,1),(6827,1),(6966,1),(6968,1),(7781,1),(7786,1),(8079,1),(8657,1),(9420,1)}
4421:{1,4,5,6}:{(3715,1),(3852,1),(3860,1),(3864,1),(4720,1),(4752,1),(4975,1),(4995,1),(5062,1),(5947,1),(6776,1)}
4422:{1,4,5,7}:{(3735,1),(3861,1),(3862,1),(3877,1),(4726,1),(4980,1),(5016,1),(5063,1),(6178,1),(7030,1)}
4423:{1,4,5}:{(3736,1),(3871,1),(3878,1),(4997,1),(5007,1),(5064,1),(6980,1)}
4424:{1,4,6}:{(3737,1),(3868,1),(3918,1),(4989,1),(5017,1),(5065,1),(5894,1),(8079,1)}
4425:{1,4}:{(3738,1),(3919,1),(5020,1),(5067,1)}
4426:{1,4,5,7}:{(3739,1),(3839,1),(3867,1),(3920,1),(5000,1),(5005,1),(5018,1),(5066,1),(6158,1),(7027,1),(7184,1)}
4427:{1,4,5,6}:{(3740,1),(3840,1),(3854,1),(3869,1),(4794,1),(4964,1),(4997,1),(4999,1),(5002,1),(5019,1),(5894,1),(5907,1),(6013,1),(6122,1),(6988,1),(7012,1),(7168,1)}
4428:{1,4,5,7}:{(3741,1),(3855,1),(3869,1),(3873,1),(4796,1),(4988,1),(4999,1),(5021,1),(7976,1)}
4429:{1,4,6,7}:{(3742,1),(3866,1),(3870,1),(3945,1),(4978,1),(4982,1),(4987,1),(4990,1),(6104,1),(6805,1)}
4430:{1,4}:{(3743,1),(3948,1),(5024,1),(5071,1)}
4431:{1,4,6}:{(3744,1),(3871,1),(3949,1),(4860,1),(4996,1),(5005,1),(5069,1),(6013,1),(6980,1),(7717,1)}
4432:{1,4,7}:{(3745,1),(3871,1),(3950,1),(4729,1),(5003,1),(5070,1),(6980,1)}
4433:{1,4,6,7}:{(3746,1),(3847,1),(3873,1),(3954,1),(4988,1),(4999,1),(5003,1),(6137,1),(6157,1),(7102,1)}
4434:{1,4,7}:{(3747,1),(3946,1),(4004,1),(4006,1),(4992,1),(5092,1)}
4435:{1,4,6}:{(3748,1),(3947,1),(4005,1),(4006,1),(4991,1),(5093,1),(5119,1),(6136,1),(9123,1)}
4436:{1,3,5,6,7}:{(3750,1),(3851,1),(3874,1),(3875,1),(4715,1),(4716,1),(4732,1),(4734,1),(4994,1),(5692,1),(5694,1),(6036,1),(9059,1),(9078,1)}
4437:{1,3,5}:{(3751,1),(3850,1),(3892,1),(4888,1),(4894,1),(4991,1),(4996,1),(5888,1),(6923,1),(7124,1),(7232,1)}
4438:{1,3,5,6}:{(3752,1),(3854,1),(3878,1),(3888,1),(4997,1),(5011,1),(5012,1),(5119,1),(5121,1),(5894,1),(6122,1),(6151,1)}
4439:{1,3,5,7}:{(3753,1),(3855,1),(3878,1),(3893,1),(4992,1),(4998,1),(5011,1),(6817,1),(7124,1),(7249,1),(7766,1),(7773,1),(7976,1),(8040,1),(8041,1)}
4440:{3,6,7}:{(3856,1),(3880,1),(3881,1),(5014,1),(6867,1)}
4441:{3,5,6}:{(3857,1),(3880,1),(3882,1),(4748,1),(4899,1),(5014,1),(5759,1),(5768,1),(5769,1),(6867,1),(8533,1)}
4442:{1,3,5,6}:{(3852,1),(3883,1),(3884,1),(3977,1),(3978,1),(4751,1),(4965,1),(5013,1),(5119,1),(5121,1),(5763,1),(5826,1),(5860,1),(5861,1),(6104,1),(6122,1),(6151,1),(6860,1),(6863,1),(6954,1),(6957,1),(6989,1),(7173,1),(7187,1),(7766,1),(7824,1),(7954,1),(8071,1),(8078,1),(8561,1),(9072,1)}
4443:{1,3,4,6,7}:{(3858,1),(3879,1),(3884,1),(3980,1),(3982,1),(4731,1),(4732,1),(4739,1),(4740,1),(4982,1),(5013,1),(5081,1),(5693,1),(5779,1),(5831,1),(5879,1),(5880,1),(6047,1),(6104,1),(6119,1),(6123,1),(6127,1),(6135,1),(6829,1),(6863,1),(6875,1),(7002,1),(7003,1),(7182,1),(7198,1),(7773,1),(7796,1),(7908,1),(7909,1),(8040,1),(8078,1),(8517,1),(8561,1),(8660,1)}
4444:{3,4,6}:{(3859,1),(3880,1),(3886,1),(4743,1),(4749,1),(4981,1),(5082,1),(5945,1),(6039,1),(6106,1),(6771,1),(7102,1),(7201,1)}
4445:{3,4,7}:{(3861,1),(3881,1),(3885,1),(4741,1),(4983,1),(5016,1),(5083,1),(6178,1),(6947,1)}
4446:{3,5,6}:{(3862,1),(3885,1),(3887,1),(4747,1),(4754,1),(4894,1),(4903,1),(4968,1),(5016,1),(5760,1),(6039,1),(6106,1)}
4447:{1,3,6,7}:{(3762,1),(3865,1),(3889,1),(4898,1),(5008,1),(5017,1),(7004,1),(7781,1)}
4448:{1,3,7}:{(3757,1),(3866,1),(3888,1),(4900,1)}
4449:{1,3,5,6}:{(3763,1),(3867,1),(3890,1),(4891,1),(4894,1),(5017,1),(5018,1),(5023,1),(6039,1),(6143,1),(6926,1),(7088,1),(7124,1),(7232,1),(7757,1),(8106,1)}
4450:{1,3,5,7}:{(3764,1),(3868,1),(3889,1),(3890,1),(5017,1),(5020,1),(5025,1),(5899,1),(6043,1),(6143,1),(6144,1),(6152,1),(6806,1),(7004,1),(7124,1),(9488,1)}
4451:{1,3,5}:{(3765,1),(3869,1),(3894,1),(4888,1),(4894,1),(5762,1),(5766,1),(7124,1),(7232,1),(8041,1)}
4452:{1,3,4,6}:{(3761,1),(3870,1),(3888,1),(3891,1),(4897,1),(4905,1),(4997,1),(5009,1),(5011,1),(5089,1),(5119,1),(5120,1),(5778,1),(5891,1),(6013,1),(6039,1),(6117,1),(6131,1),(6137,1),(6151,1),(6228,1),(6762,1),(6864,1),(7087,1),(7102,1),(7125,1),(7177,1),(7189,1),(7788,1),(7795,1),(7796,1),(7954,1),(8039,1),(8075,1),(8078,1),(8106,1),(8647,1),(8660,2),(8661,1),(9086,1)}
4453:{1,3,4}:{(3766,1),(3871,1),(3890,1),(4860,1),(5024,1),(5029,1),(5090,1),(6030,1),(6215,1)}
4454:{1,3,4,6,7}:{(3767,1),(3872,1),(3892,1),(3893,1),(3959,1),(4904,1),(5003,1),(5005,1),(5006,1),(5010,1),(5011,1),(5091,1),(5906,1),(6039,1),(6118,1),(6131,1),(6135,1),(6137,1),(6155,1),(6953,1),(6980,1),(7002,1),(7011,1),(7102,1),(7124,1),(7125,1),(7189,1),(7197,1),(7245,1),(7909,1),(8040,1),(8075,1),(8106,1)}
4455:{1,3,4,7}:{(3768,1),(3873,1),(3889,1),(3894,1),(4846,1),(4900,1),(4904,1),(5021,1),(5772,1),(5781,1),(7004,1),(7124,1),(7245,1),(8040,1)}
4456:{1,3,4}:{(3749,1),(3849,1),(3960,1),(4633,1),(4634,1),(5007,1),(6817,1),(6832,1),(7124,1),(7935,1),(8537,1),(9402,1),(9445,1)}
4457:{1,2,5}:{(3771,1),(3830,1),(3908,1),(4756,1),(4942,1),(4969,1),(7222,1)}
4458:{1,2,5,6}:{(3769,1),(3831,1),(3897,1),(3900,1),(4640,1),(4642,1),(4948,1),(5034,1),(5729,1),(5789,1),(6167,1),(6225,1),(6786,1),(6887,1),(7016,1),(7173,1),(8618,1)}
4459:{1,2,5,6}:{(3770,1),(3832,1),(3896,1),(3905,1),(4913,1),(4943,1),(5032,1),(5107,1),(5108,1),(5789,1),(5919,1),(6225,1),(6786,1),(6887,1),(7016,1),(7130,1),(8045,1),(9043,1)}
4460:{1,2,5,7}:{(3772,1),(3833,1),(3896,1),(3910,1),(4755,1),(4757,1),(4910,1),(4914,1),(4944,1),(5030,1),(5917,1),(6053,1),(6061,1),(6180,1),(6786,1),(7130,1),(7131,1),(7837,1)}
4461:{1,2,4,5}:{(3709,1),(3896,1),(3912,1),(4862,1),(4915,1),(4945,1),(4973,1),(4991,1),(6136,1),(6176,1),(6183,1),(6984,1)}
4462:{1,2,4,5,7}:{(3710,1),(3897,1),(3911,1),(4010,1),(4011,1),(4643,1),(4644,1),(4699,1),(4702,1),(4865,1),(4946,1),(4992,1),(5034,1),(5124,1),(5703,1),(5705,1),(5959,1),(5961,1),(6009,1),(6139,1),(6218,1),(6786,1),(6789,1),(6984,1),(7173,1),(7249,1),(7716,1),(7917,1),(7918,1),(8556,1)}
4463:{1,2,6,7}:{(3774,1),(3836,1),(3900,1),(3901,1),(4916,1),(4947,1),(6104,1),(7016,1)}
4464:{1,2,4,6}:{(3775,1),(3834,1),(3900,1),(3904,1),(4759,1),(4863,1),(4918,1),(4949,1),(5030,1),(5057,1),(6015,1),(6112,1),(6137,1),(6167,1),(6186,1),(6887,1),(7016,1),(7102,1),(7168,1),(7796,1)}
4465:{1,2,4,5,7}:{(3776,1),(3835,1),(3901,1),(3902,1),(3903,1),(4764,1),(4766,1),(4864,1),(4919,1),(4950,1),(5032,1),(5038,1),(5058,1),(5095,1),(5097,1),(5124,1),(5798,1),(5863,1),(5865,1),(5917,1),(5918,1),(5942,1),(6007,1),(6016,1),(6053,1),(6055,1),(6113,1),(6138,1),(6168,1),(6188,1),(6218,1),(6803,1),(6828,1),(6829,1),(6880,1),(7018,1),(7053,1),(7095,1),(7098,1),(7104,1),(7131,1),(7134,1),(7172,1),(7208,1),(7213,1),(7221,1),(7249,1),(7792,1),(7836,1),(7837,1),(7917,1),(7976,1),(8026,1),(8067,1),(8087,1),(8696,1),(8750,1),(9445,1)}
4466:{1,2,4,6,7}:{(3780,1),(3837,1),(3902,1),(3905,1),(4013,1),(4015,1),(4919,1),(4954,1),(5032,1),(5112,1),(5124,1),(5797,1),(5942,1),(6016,1),(6057,1),(6188,1),(7016,1),(7052,1),(7131,1),(7135,1),(7208,1),(7219,1),(7796,1),(7917,1),(9097,1)}
4467:{1,2,4,6}:{(3782,1),(3838,1),(3907,1),(3921,1),(4761,1),(4955,1),(4981,1),(5033,1),(5065,1),(5938,1),(6017,1),(6106,1),(6116,1),(6157,1),(6167,1),(6889,1),(7036,1),(7078,1),(7102,1),(7163,1),(7191,1),(7815,1),(7904,1),(8046,1),(8079,1)}
4468:{1,2,4,7}:{(3783,1),(3839,1),(3906,1),(3923,1),(4765,1),(4956,1),(4983,1),(5066,1),(5941,1),(6158,1),(7093,1)}
4469:{1,2,4,5}:{(3784,1),(3841,1),(3924,1),(4700,1),(4701,1),(4769,1),(4770,1),(4957,1),(4969,1),(4984,1),(5040,1),(5067,1),(5706,1),(5714,1),(5923,1),(6062,1),(6108,1),(6159,1),(6810,1),(6815,1),(6848,1),(6982,1),(7186,1),(7222,1),(7929,1),(7991,1)}
4470:{1,2,4,6}:{(3785,1),(3843,1),(3909,1),(3927,1),(4958,1),(5037,1),(5044,1),(5048,1),(5069,1),(6019,1),(6167,1),(6176,1),(7102,1)}
4471:{1,2,4,7}:{(3786,1),(3845,1),(3909,1),(3928,1),(4770,1),(4959,1),(5041,1),(5049,1),(5070,1),(6062,1),(6173,1),(7131,1),(7137,1),(7222,1)}
4472:{1,2,4}:{(3787,1),(3844,1),(3929,1),(4960,1),(5050,1),(5071,1),(6215,1)}
4473:{1,2,4,5}:{(3781,1),(3846,1),(3909,1),(3930,1),(4771,1),(4773,1),(4961,1),(5037,1),(5042,1),(5064,1),(5922,1),(6019,1),(6061,1),(6176,1),(6833,1)}
4474:{1,2,4,6,7}:{(3725,1),(3911,1),(3912,1),(3955,1),(4652,1),(4653,1),(4703,1),(4706,1),(4923,1),(4962,1),(4980,1),(5006,1),(5034,1),(5036,1),(5124,1),(5795,1),(5797,1),(5875,1),(5877,1),(5969,1),(5970,1),(6059,1),(6112,1),(6191,1),(6984,1),(7050,1),(7052,1),(7217,1),(7917,1),(8505,1),(8511,1),(8544,1),(8618,1),(8655,1),(9102,1),(9123,1),(9465,1)}
4475:{2,4}:{(3848,1),(3956,1),(5050,1),(6019,1)}
4476:{1,2,4,7}:{(3849,1),(3957,1),(3986,1),(3987,1),(4712,1),(4714,1),(4773,1),(4774,1),(4982,1),(4985,1),(5047,1),(6119,1),(6139,1),(6194,1),(6832,1),(7716,1),(7841,1),(7902,1),(7935,1),(8496,1),(8517,1),(8545,1),(8550,1),(8556,1),(9445,1)}
4477:{1,2,5}:{(3789,1),(3850,1),(3936,1),(4757,1),(4973,1),(4991,1),(5888,1),(5889,1),(7232,1)}
4478:{1,2,6,7}:{(3790,1),(3851,1),(3913,1),(3915,1),(4974,1),(4990,1),(7131,1)}
4479:{1,2,5,6}:{(3788,1),(3852,1),(3917,1),(3926,1),(4975,1),(5054,1),(5119,1),(5121,1),(6187,1)}
4480:{1,2,5,7}:{(3791,1),(3853,1),(3916,1),(3931,1),(4976,1),(5055,1),(6189,1)}
4481:{1,5,6,7}:{(3792,1),(3918,1),(3920,1),(4986,1),(4989,1),(4990,1),(5000,1),(5055,1),(7184,1),(7740,1),(7942,1),(8079,1)}
4482:{1,6}:{(3793,1),(3919,1),(5055,1)}
4483:{1,2,6,7}:{(3794,1),(3856,1),(3921,1),(3923,1),(5056,1),(5076,1),(5980,1),(7036,1),(7749,1),(8079,1)}
4484:{1,2,5,6}:{(3795,1),(3857,1),(3921,1),(3924,1),(4786,1),(5040,1),(5056,1),(5077,1),(5726,1),(5730,1),(5923,1),(6779,1),(6889,1),(7036,1),(7186,1),(8079,1),(9509,1)}
4485:{1,2,5,6}:{(3796,1),(3854,1),(3925,1),(3932,1),(4793,1),(4965,1),(5057,1),(5058,1),(5119,1),(5121,1),(5919,1),(6104,1),(6187,1),(6887,1),(7016,1),(7215,1),(7964,1),(7982,1),(8098,1)}
4486:{1,2,5,7}:{(3797,1),(3855,1),(3925,1),(3937,1),(4797,1),(4992,1),(5057,1),(7039,1),(7249,1),(7964,1)}
4487:{1,2,6,7}:{(3798,1),(3858,1),(3922,1),(3926,1),(5054,1),(5059,1),(6123,1)}
4488:{1,2,6}:{(3799,1),(3859,1),(3928,1),(5082,1),(6889,1),(8046,1)}
4489:{1,2,6}:{(3777,1),(3860,1),(3930,1),(4825,1),(5059,1),(6887,1)}
4490:{1,2,7}:{(3800,1),(3861,1),(3927,1),(5083,1)}
4491:{1,2,5,6}:{(3801,1),(3862,1),(3927,1),(3929,1),(4783,1),(5037,1),(5043,1),(5063,1),(5084,1),(5924,1),(6167,1),(7088,1),(7232,1),(7764,1),(8106,1)}
4492:{1,2,5,7}:{(3778,1),(3863,1),(3930,1),(3938,1),(4787,1),(4834,1),(5059,1),(5060,1),(6061,1),(7039,1),(7131,1),(7836,1),(7964,1)}
4493:{1,2,5}:{(3779,1),(3864,1),(3939,1),(4835,1),(7232,1)}
4494:{1,2,4,7}:{(3802,1),(3866,1),(3922,1),(3932,1),(4764,1),(4982,1),(5058,1),(5085,1),(6127,1),(6138,1),(6188,1),(7053,1),(7917,1)}
4495:{1,2,5,6}:{(3803,1),(3867,1),(3906,1),(3933,1),(4791,1),(4968,1),(5037,1),(5065,1),(5066,1),(5069,1),(5920,1),(6106,1),(6167,1),(6180,1),(7220,1)}
4496:{1,2,5,7}:{(3804,1),(3868,1),(3933,1),(3934,1),(4798,1),(5065,1),(5067,1),(5070,1),(6173,1),(6180,1),(6189,1),(6815,1),(7220,1),(7222,1),(7779,1)}
4497:{1,2,4,6,7}:{(3806,1),(3865,1),(3908,1),(3931,1),(3934,1),(4801,1),(4976,1),(5001,1),(5051,1),(5065,1),(5088,1),(5931,1),(5967,1),(6115,1),(6116,1),(6157,1),(6173,1),(6189,1),(6982,1),(7036,1),(7085,1),(7199,1),(7207,1),(7222,1),(7779,1),(7815,1),(8079,1),(8514,1),(8569,1),(8623,1)}
4498:{1,2,4,6}:{(3805,1),(3870,1),(3926,1),(3935,1),(4759,1),(4975,1),(5052,1),(5057,1),(5089,1),(5119,1),(5120,1),(5891,1),(5892,1),(6104,1),(6112,1),(6117,1),(6137,1),(6167,1),(6186,1),(6187,1),(6228,1),(6887,1),(7016,1),(7017,1),(7087,1),(7102,1),(7162,1),(7168,1),(7177,1),(7217,1),(7795,1),(7796,1),(7982,1),(7984,1),(8075,1),(8098,2),(8106,1),(8652,1),(8660,2),(8661,1)}
4499:{1,2}:{(3807,1),(3871,1)}
4500:{1,2,4,6,7}:{(3808,1),(3872,1),(3936,1),(3937,1),(3958,1),(4799,1),(4980,1),(5006,1),(5044,1),(5053,1),(5057,1),(5091,1),(5969,1),(6112,1),(6118,1),(6137,1),(6167,1),(6191,1),(6984,1),(7039,1),(7052,1),(7057,1),(7102,1),(7206,1),(7217,1),(7225,1),(7245,1),(7917,1),(8075,1),(8106,1)}
4501:{1,2,3,5,6}:{(3809,1),(3874,1),(3913,1),(3944,1),(4775,1),(4777,1),(4811,1),(4814,1),(4897,1),(4964,1),(4977,1),(4986,1),(5011,1),(5060,1),(5734,1),(5769,1),(5770,1),(5824,1),(5825,1),(5860,1),(5862,1),(5894,1),(5951,1),(5991,1),(6038,1),(6039,1),(6096,1),(6104,1),(6106,1),(6122,1),(6140,1),(6162,1),(6167,1),(6186,1),(6864,1),(6869,1),(6954,1),(6988,1),(6990,1),(6991,1),(7017,1),(7072,1),(7117,1),(7153,1),(7204,1),(7765,1),(7984,1),(7985,1),(8012,1),(8046,1),(8079,1),(8105,1),(8106,1),(8559,1),(8643,1),(8754,1),(9051,1),(9069,1),(9106,1)}
4502:{1,2,3,5,7}:{(3810,1),(3875,1),(3915,1),(3941,1),(3945,1),(4816,1),(4900,1),(4978,1),(4987,1),(5012,1),(5054,1),(5059,1),(5866,1),(5984,1),(6036,1),(6041,1),(6047,1),(6100,1),(6168,1),(6188,1),(7131,1),(7213,1),(7242,1),(8004,1),(8040,1)}
4503:{1,2,3,5,6,7}:{(3811,1),(3876,1),(3914,1),(3940,1),(3943,1),(3954,1),(4804,1),(4806,1),(4898,1),(4979,1),(4986,1),(4988,1),(5008,1),(5061,1),(5074,1),(5076,1),(5774,1),(5951,1),(5973,1),(5987,1),(6036,1),(6039,1),(6040,1),(6090,1),(6097,1),(6105,1),(6106,1),(6140,1),(6167,1),(6169,1),(6173,1),(6180,1),(6190,1),(6196,1),(6197,1),(6204,1),(6869,1),(7076,1),(7117,1),(7124,1),(7131,1),(7153,1),(7184,1),(7204,1),(7213,1),(7233,1),(7781,1),(7994,1),(8007,1),(8012,1),(8040,1),(8046,1),(8079,1),(8105,1),(8106,1),(8594,1),(8643,1),(8754,1)}
4504:{1,2,5,7}:{(3812,1),(3877,1),(3942,1),(3958,1),(4980,1),(5075,1),(6191,1)}
4505:{1,3,6}:{(3813,1),(3918,1),(3950,1),(4809,1),(5003,1),(5894,1),(7124,1)}
4506:{1,6,7}:{(3814,1),(3946,1),(3947,1),(4807,1),(4809,1),(5075,1),(8106,1)}
4507:{1,5,6}:{(3815,1),(3947,1),(3948,1),(4807,1),(4809,1),(4991,1),(5004,1),(5075,1),(5119,1),(5888,1),(5889,1),(7088,1),(7232,1),(8106,1)}
4508:{1,3,5,7}:{(3816,1),(3920,1),(3949,1),(3959,1),(5005,1),(5075,1),(6036,1),(6155,1),(7727,1)}
4509:{2,3,6}:{(3880,1),(3921,1),(3953,1),(4981,1),(6106,1)}
4510:{1,2,3,7}:{(3879,1),(3922,1),(3951,1),(3989,1),(3991,1),(4982,1),(7053,1),(7773,1)}
4511:{2,3,7}:{(3881,1),(3923,1),(3952,1),(4983,1)}
4512:{2,3,5}:{(3882,1),(3924,1),(3961,1),(4984,1)}
4513:{1,2,3,5}:{(3883,1),(3917,1),(3965,1),(3993,1),(3994,1),(4837,1),(4901,1),(4985,1),(5855,1),(6180,1),(7124,1)}
4514:{1,2,3,5}:{(3820,1),(3878,1),(3925,1),(3966,1),(4841,1),(5007,1),(5064,1),(5962,1),(6005,1),(6180,1),(6817,1),(7124,1)}
4515:{1,2,3,6}:{(3884,1),(3926,1),(3957,1),(3995,1),(3997,1),(4824,1),(5047,1),(5729,1),(5843,1),(6104,1),(6186,1),(6187,1),(6772,1),(6887,1),(7016,1),(7017,1),(7982,1),(7984,1),(8098,1),(8545,1),(8561,1),(8612,1),(9096,1)}
4516:{2,3,6}:{(3885,1),(3927,1),(3956,1),(4826,1),(5048,1),(5083,1),(6902,1)}
4517:{2,3,5,7}:{(3886,1),(3928,1),(3956,1),(3962,1),(4828,1),(4831,1),(4959,1),(5049,1),(5082,1),(5083,1),(6085,1),(6163,1),(6164,1)}
4518:{2,3,5}:{(3887,1),(3929,1),(3963,1),(4838,1),(4960,1),(5050,1),(5856,1)}
4519:{1,2,3,6}:{(3819,1),(3888,1),(3932,1),(3960,1),(4687,1),(4688,1),(5028,1),(5085,1),(5843,1),(6151,1),(7954,1),(8545,1),(8630,1),(9096,1),(9162,1)}
4520:{1,2,3,5}:{(3823,1),(3890,1),(3933,1),(3964,1),(4842,1),(4942,1),(5029,1),(5090,1),(6006,1)}
4521:{1,2,3,7}:{(3824,1),(3889,1),(3934,1),(3964,1),(4844,1),(4956,1),(5020,1),(6001,1),(7093,1),(7124,1),(8059,1)}
4522:{1,2,3,5,7}:{(3822,1),(3891,1),(3935,1),(3960,1),(3967,1),(4692,1),(4693,1),(4901,1),(4961,1),(5064,1),(5073,1),(5085,1),(5089,1),(5094,1),(5127,1),(5839,1),(5901,1),(5902,1),(5959,1),(6045,1),(6047,1),(6061,1),(6091,1),(6100,1),(6141,1),(6185,1),(6188,1),(6195,1),(6211,1),(6233,1),(6808,1),(6930,1),(6933,1),(7118,1),(7124,1),(7131,1),(7160,1),(7221,1),(7242,1),(7243,1),(7249,1),(7769,1),(7837,1),(8040,1),(8041,1),(8054,1),(8060,1),(8112,1),(8113,1),(8545,1),(8630,1),(8673,1),(8701,1),(9107,1),(9456,1)}
4523:{1,2,3,6}:{(3825,1),(3892,1),(3936,1),(3967,1),(4695,1),(4698,1),(4903,1),(4958,1),(5069,1),(5073,1),(5835,1),(5904,1),(5906,1),(5969,1),(7124,1),(7243,1)}
4524:{1,2,3,7}:{(3827,1),(3893,1),(3937,1),(3966,1),(4843,1),(5070,1),(6188,1),(7053,1),(8545,1),(8630,1)}
4525:{1,4,5}:{(3971,1),(4868,1),(5108,1),(6012,1)}
4526:{5}:{(3972,1)}
4527:{3,5}:{(3973,1),(4849,1),(4965,1)}
4528:{4,5,7}:{(3969,1),(3983,1),(4850,1),(4856,1),(5101,1)}
4529:{4,6,7}:{(3968,1),(3985,1),(4851,1),(6016,1),(7796,1),(8479,1)}
4530:{4,7}:{(3970,1),(3984,1),(5102,1)}
4531:{1,4,7}:{(3971,1),(3990,1),(4885,1),(6016,1)}
4532:{4,7}:{(3972,1),(3991,1),(5095,1)}
4533:{3,4,7}:{(3973,1),(3989,1),(4864,1),(4982,1),(5096,1)}
4534:{4}:{(3993,1)}
4535:{1,2,4,7}:{(3992,1),(4862,1),(5100,1),(5105,1),(6016,1),(6065,1),(6118,1),(6136,1),(6176,1),(6906,1),(6984,1),(7180,1),(7917,1)}
4536:{4}:{(3994,1)}
4537:{3,4,6}:{(3968,1),(3975,1),(4871,1),(5113,1),(5120,1),(7248,1)}
4538:{3,6}:{(3970,1),(3976,1),(5102,1),(5119,1)}
4539:{3,5,6}:{(3969,1),(3974,1),(4870,1),(4875,1),(5101,1),(5121,1),(6220,1),(7248,1)}
4540:{3,5,7}:{(3978,1),(3980,1),(4002,1),(5095,1),(5102,1),(6007,1),(6047,1)}
4541:{1,3,4,5,6,7}:{(3979,1),(3981,1),(4001,1),(4890,1),(5097,1),(5103,1),(5118,1),(6016,1),(6020,1),(6028,1),(6124,1),(6133,1),(6142,1),(6829,1),(6837,1),(6863,1),(6973,1),(6999,1),(7060,1),(7095,1),(7096,1),(7106,1),(7109,1),(7121,1),(7127,1),(7169,1),(7172,1),(7175,1),(7177,1),(7180,1),(7190,1),(7248,1),(7249,1),(7787,1),(7788,1),(7796,1),(7801,1),(7824,1),(7908,1),(7909,1),(7917,1),(7945,1),(8026,1),(8037,2),(8039,1),(8040,1),(8065,1),(8071,1),(8072,1),(8073,1),(8078,1),(8084,1),(8479,1),(8515,1),(8580,1),(8647,2),(8648,1),(8652,1),(8660,1),(8673,1),(8750,1),(8752,1),(8771,1),(8774,1),(9067,1),(9086,1)}
4542:{3,5,7}:{(3977,1),(3982,1),(4003,1),(6007,1),(6047,1),(8026,1),(8040,1)}
4543:{2,4,6}:{(3972,1),(3986,1),(3995,1),(4863,1),(5098,1),(5107,1),(7796,1)}
4544:{1,2,4,6}:{(3971,1),(3988,1),(3996,1),(4940,1),(5108,1),(6137,1),(6228,1),(7796,1),(8660,1)}
4545:{2,3,4,6}:{(3973,1),(3987,1),(3997,1),(4863,1),(4924,1),(5047,1),(5099,1),(5109,1),(5777,1),(5778,1),(5799,1),(5843,1),(6035,1),(6052,1),(6772,1),(6832,1),(6886,1),(6887,1),(7102,1),(7716,1),(7796,2),(7841,1),(8489,1),(8600,1)}
4546:{2,3,5}:{(3976,1),(3998,1),(4011,1),(4901,1),(5104,1),(5114,1),(5855,1),(6220,1)}
4547:{2,3,5,7}:{(3975,1),(4000,1),(4012,1),(4945,1),(5105,1),(5113,1),(6045,1),(6219,1)}
4548:{2,3,5}:{(3974,1),(3999,1),(4010,1),(4901,1),(5106,1),(5760,1),(5761,1),(5855,1),(6902,1),(6903,1),(7124,1)}
4549:{1,2,3,5,6}:{(3979,1),(3992,1),(3996,1),(4008,1),(4943,1),(5100,1),(5108,1),(5113,1),(6075,1),(6184,1),(6219,1),(6887,1),(6900,1),(7042,1),(7066,1),(7130,1),(7159,1),(7217,1),(7769,1),(7853,1),(7954,1),(7982,1),(7984,1),(8054,1),(8099,1),(8110,1),(9456,1)}
4550:{2,3,5,6}:{(3978,1),(3993,1),(3995,1),(4009,1),(5098,1),(5107,1),(5114,1),(5116,1),(6220,1),(6225,1),(7248,1)}
4551:{2,3,5,6}:{(3977,1),(3994,1),(3997,1),(4007,1),(5099,1),(5109,1),(5117,1),(5826,1),(6887,1),(6915,1),(8054,1)}
4552:{2,3,6,7}:{(3982,1),(3989,1),(3997,1),(4014,1),(4951,1),(5117,1),(5831,1),(6047,1),(6079,1),(6100,1),(6948,1),(7131,1),(7847,1),(7848,1),(8040,1),(8500,1)}
4553:{2,3,6,7}:{(3980,1),(3991,1),(3995,1),(4013,1),(4951,1),(5112,1),(5116,1),(7248,1)}
4554:{1,2,3,6,7}:{(3981,1),(3990,1),(3996,1),(4015,1),(4954,1),(5111,1),(6020,1),(6188,1),(6233,1),(7052,1),(7092,1)}
4555:{1,5}:{(3976,1),(4006,1),(5119,1)}
4556:{1,5}:{(3974,1),(4004,1)}
4557:{1,4,5,7}:{(3975,1),(4005,1),(4991,1),(5120,1),(5126,1),(6124,1),(6136,1),(7176,1),(7180,1),(7249,1),(9233,1)}
4558:{1,2,5,7}:{(3983,1),(4003,1),(4007,1),(4014,1),(4917,1),(5117,1),(5917,1),(6007,1),(6053,1),(6055,1),(6878,1),(7131,1),(7836,1),(7837,1),(8026,1),(8506,1)}
4559:{1,2,5,7}:{(3984,1),(4002,1),(4009,1),(4013,1),(4917,1),(5116,1),(5124,1),(7249,1)}
4560:{1,2,5,6,7}:{(3985,1),(4001,1),(4008,1),(4015,1),(5032,1),(5123,1),(6057,1),(6124,1),(6225,1),(6885,1),(7016,1),(7745,1)}
4561:{1,2,4,6}:{(3968,1),(4008,1),(4012,1),(5113,1),(5120,1),(6059,1),(6112,1),(7217,1)}
4562:{1,2,4,6}:{(3970,1),(4009,1),(4011,1),(4920,1),(4975,1),(5098,1),(5114,1),(5119,1),(5124,1),(6187,1),(6228,1)}
4563:{1,2,4,5,6}:{(3969,1),(4007,1),(4010,1),(4920,1),(4975,1),(5034,1),(5099,1),(5115,1),(5121,1),(5122,1),(5787,1),(5789,1),(5867,1),(5869,1),(5948,1),(6009,1),(6056,1),(6109,1),(6187,1),(6229,1),(6786,1),(6789,1),(6844,1),(6886,1),(6887,1),(7042,1),(7043,1),(7094,1),(7129,1),(7162,1),(7168,1),(7173,1),(7215,1),(7716,1),(7745,1),(7864,1),(7918,1),(7982,1),(7984,1),(8071,1),(8098,1),(8479,1),(8556,1),(8652,1),(9043,1),(9067,1),(9097,1)}
4564:{1,2,3}:{(3998,1),(4006,1),(5024,1),(5071,1)}
4565:{1,2,3,6}:{(3999,1),(4004,1),(5024,1),(5071,1),(5092,1),(5125,1),(5904,1),(5906,1),(5969,1),(5970,1),(6151,1),(6187,1)}
4566:{1,2,3,7}:{(4000,1),(4005,1),(5093,1),(6155,1),(6191,1),(9120,1)}
4567:{1,3,4,5,7}:{(4021,1),(4057,1),(4144,1),(4161,1),(4177,1),(5139,1),(5147,1),(5188,1),(5293,1),(5296,1),(5472,1),(5571,1),(6235,1),(6418,1),(6471,1),(6576,1),(6604,1),(6684,1),(7473,1),(7487,1),(7489,1),(7584,1),(7602,1),(7655,1),(7691,1),(8176,1),(8298,1),(8318,1),(8323,1),(8325,1),(8419,1),(8450,1)}
4568:{1,3,4,5,7}:{(4024,1),(4058,1),(4145,1),(4162,1),(4177,1),(5133,1),(5145,1),(5190,1),(5292,1),(5298,1),(5440,1),(5469,1),(5472,1),(5562,1),(5571,1),(6241,1),(6299,1),(6321,1),(6429,1),(6443,1),(6447,1),(6470,1),(6570,1),(6574,1),(6576,1),(6592,1),(6600,1),(6604,1),(6658,1),(6663,1),(6669,1),(6681,1),(6684,1),(7319,1),(7331,1),(7333,1),(7354,1),(7422,1),(7462,1),(7469,1),(7484,1),(7488,1),(7489,1),(7554,1),(7584,1),(7588,1),(7602,1),(7608,1),(7642,1),(7646,1),(7651,1),(7655,1),(7691,1),(8182,1),(8296,1),(8297,1),(8323,1),(8324,1),(8334,1),(8339,1),(8419,1),(8425,1),(8426,1),(8450,1),(8796,1),(8845,1),(9270,1)}
4569:{3,4,5}:{(4025,1),(4146,1),(4163,1),(5156,1),(5189,1),(5294,1),(5440,1),(5469,1),(5543,1),(6246,1),(6309,1),(6489,1),(6571,1),(6574,1),(6593,1),(7267,1),(7323,1),(7584,1),(8206,1)}
4570:{1,4,5,7}:{(4019,1),(4057,1),(4162,1),(4176,1),(5132,1),(5146,1),(5292,1),(5440,1),(6420,1),(6429,1),(6570,1),(7319,1),(7442,1),(8169,1)}
4571:{1,5}:{(4030,1),(4059,1),(5128,1)}
4572:{4,5}:{(4026,1),(4163,1),(5136,1),(5159,1)}
4573:{1,3,5}:{(4023,1),(4056,1),(4146,1),(5189,1),(5297,1),(5469,1),(5562,1),(7267,1),(7524,1),(8793,1)}
4574:{3,5,7}:{(4017,1),(4145,1),(4178,1),(5130,1),(5469,1),(5543,1),(5546,1),(6309,1),(6407,1),(7267,1),(7584,1),(7602,1),(8206,1)}
4575:{1,5}:{(4027,1),(4056,1)}
4576:{5,7}:{(4020,1),(4179,1),(5135,1),(5543,1)}
4577:{1,3,5}:{(4029,1),(4059,1),(4147,1),(5142,1),(5191,1),(5299,1)}
4578:{3,4,5}:{(4022,1),(4147,1),(4160,1),(5134,1),(5158,1),(5191,1),(5295,1),(6240,1),(7252,1)}
4579:{1,4,5,7}:{(4028,1),(4058,1),(4161,1),(4176,1),(5131,1),(5148,1),(5293,1),(5562,1),(6658,1),(6663,1),(7348,1),(7642,1),(8122,1)}
4580:{3,5,7}:{(4031,1),(4144,1),(4178,1),(5141,1),(5546,1)}
4581:{5,7}:{(4018,1),(4179,1),(5143,1)}
4582:{4,5}:{(4016,1),(4160,1),(5155,1),(5543,1)}
4583:{1,2,3,6}:{(4023,1),(4116,1),(4218,1),(4258,1),(5157,1),(5260,1),(5390,1),(5533,1),(5634,1),(6383,1),(6522,1),(8411,1),(8807,1)}
4584:{1,2,3}:{(4029,1),(4119,1),(4219,1),(5262,1),(5389,1)}
4585:{1,2}:{(4030,1),(4119,1)}
4586:{2,3,4,6}:{(4025,1),(4218,1),(4248,1),(4259,1),(5156,1),(5260,1),(5355,1),(5411,1),(5495,1),(5533,1),(5619,1),(6246,1),(6258,1),(6349,1),(6383,1),(6574,1),(6612,1),(6616,1),(6628,1),(7397,1),(7404,1)}
4587:{2,4,6,7}:{(4020,1),(4250,1),(4256,1),(4261,1),(5144,1),(5354,1),(5407,1),(5410,1),(5619,1),(5620,1),(6252,1),(6269,1),(6507,1),(6510,1),(6696,1)}
4588:{2,3,4,6,7}:{(4017,1),(4217,1),(4250,1),(4259,1),(4260,1),(5152,1),(5263,1),(5354,1),(5406,1),(5411,1),(5533,1),(5535,1),(5619,1),(5620,1),(6244,1),(6262,1),(6274,1),(6382,1),(6387,1),(6391,1),(6395,1),(6404,1),(6503,1),(6508,1),(6510,1),(6574,1),(6576,1),(6638,1),(6646,1),(6647,1),(6650,1),(6696,1),(7269,1),(7354,1),(7424,1),(7434,1),(7588,1),(7591,1),(7597,1),(7627,1),(7632,1),(8264,1),(8419,1)}
4589:{1,2,3,6,7}:{(4024,1),(4118,1),(4217,1),(4258,1),(4262,1),(5145,1),(5263,1),(5388,1),(5405,1),(5409,1),(5495,1),(5533,1),(5535,1),(5634,1),(5636,1),(6382,1),(6387,1),(6525,1),(6527,1),(6542,1),(6612,1),(6638,1),(6645,1),(6646,1),(6647,1),(6715,1),(6716,1),(6719,1),(6720,1),(6741,1),(7398,1),(7532,1),(7630,1),(7632,1),(7669,1),(7693,1),(8239,1),(8358,1),(8360,1),(8817,1),(8866,1),(8984,1)}
4590:{1,2,3,7}:{(4021,1),(4117,1),(4216,1),(4262,1),(5261,1),(5391,1),(5535,1),(5636,1),(6647,1),(6720,1),(8857,1)}
4591:{1,2,6,7}:{(4028,1),(4118,1),(4257,1),(4263,1),(5148,1),(5388,1),(5404,1),(5408,1),(5634,1),(5636,1),(6525,1),(6715,1),(6720,1),(7532,1),(8146,1),(8360,1),(8815,1),(8854,1)}
4592:{2,4,7}:{(4018,1),(4251,1),(4261,1),(5149,1),(5352,1),(5407,1),(6507,1),(7406,1)}
4593:{2,4}:{(4026,1),(4249,1),(5159,1),(5495,1)}
4594:{2,4,6}:{(4016,1),(4248,1),(4256,1),(5155,1),(5355,1),(5410,1)}
4595:{2,3,4,7}:{(4031,1),(4216,1),(4251,1),(4260,1),(5150,1),(5261,1),(5352,1),(5406,1),(5535,1),(5620,1),(6508,1),(6576,1),(6647,1),(6650,1)}
4596:{1,2,6}:{(4027,1),(4116,1),(4257,1),(5154,1),(5390,1)}
4597:{1,2,7}:{(4019,1),(4117,1),(4263,1),(5495,1)}
4598:{2,3,4}:{(4022,1),(4219,1),(4249,1),(5158,1),(5262,1),(5353,1),(6240,1),(8871,1)}
4599:{4,5}:{(4043,1),(4062,1),(5175,1)}
4600:{4,5}:{(4042,1),(4061,1),(5173,1)}
4601:{4,5}:{(4041,1),(4063,1),(5172,1),(5210,1),(6303,1),(6339,1),(8207,1)}
4602:{4,5}:{(4040,1),(4060,1),(5174,1),(5208,1),(6302,1),(6486,1),(9339,1)}
4603:{4,6}:{(4034,1),(4082,1)}
4604:{4,6}:{(4035,1),(4083,1)}
4605:{4,6}:{(4032,1),(4080,1),(5165,1),(5179,1)}
4606:{4,6}:{(4033,1),(4081,1),(5166,1),(5178,1)}
4607:{4,5,6,7}:{(4039,1),(4044,1),(4280,1),(4281,1),(5167,1),(5214,1),(5433,1),(5436,1),(6570,1),(7319,1)}
4608:{4,6,7}:{(4036,1),(4046,1),(4281,1),(5212,1)}
4609:{4,5,7}:{(4037,1),(4045,1),(4280,1),(5166,1),(5185,1),(5213,1),(6350,1)}
4610:{4,7}:{(4038,1),(4047,1),(5184,1),(5215,1)}
4611:{4,6,7}:{(4043,1),(4105,1),(4287,1),(5169,1),(5438,1),(7320,1)}
4612:{4,6,7}:{(4040,1),(4106,1),(4287,1),(5168,1),(5438,1),(6302,1),(7338,1),(7354,1)}
4613:{4,7}:{(4042,1),(4104,1),(5441,1),(7322,1)}
4614:{4,7}:{(4041,1),(4107,1),(5441,1),(6303,1),(8962,1)}
4615:{3,5}:{(4032,1),(4052,1),(5179,1),(5299,1)}
4616:{3,4,5,7}:{(4034,1),(4055,1),(4296,1),(4297,1),(5175,1),(5177,1),(5190,1),(5234,1),(5298,1),(5455,1),(5466,1),(6291,1),(6299,1),(6304,1),(6580,1),(6749,1),(7331,1),(7333,1),(7337,1),(7342,1)}
4617:{3,5}:{(4033,1),(4053,1),(5178,1),(5297,1)}
4618:{3,4,5,7}:{(4035,1),(4054,1),(4296,1),(4297,1),(5174,1),(5176,1),(5188,1),(5233,1),(5296,1),(5455,1),(5466,1),(6290,1),(6301,1),(6302,1),(6580,1),(6749,1),(7328,1),(7335,1),(7338,1),(7340,1),(7489,1),(8323,1),(8325,1)}
4619:{3,4,6}:{(4043,1),(4055,1),(4110,1),(5175,1),(5195,1),(5241,1),(5307,1),(6299,1),(6304,1)}
4620:{3,4,6}:{(4041,1),(4052,1),(4108,1),(5172,1),(5179,1),(5182,1),(5242,1),(5306,1),(6303,1),(7490,1)}
4621:{3,4,6}:{(4040,1),(4054,1),(4111,1),(5174,1),(5192,1),(5243,1),(5304,1),(6301,1),(6302,1),(7489,1)}
4622:{3,4,6}:{(4042,1),(4053,1),(4109,1),(5173,1),(5178,1),(5183,1),(5240,1),(5305,1),(6305,1)}
4623:{3,4,5,6}:{(4039,1),(4058,1),(4317,1),(4319,1),(5131,1),(5177,1),(5248,1),(5432,1),(5446,1),(5449,1),(5459,1),(6289,1),(6307,1),(6331,1),(6338,1),(6568,1),(6572,1),(6580,1),(7257,1),(7322,1),(7333,1),(7342,1),(7584,1),(7602,1),(7606,1),(8197,1),(8419,1)}
4624:{3,4,6}:{(4036,1),(4057,1),(4317,1),(5132,1),(5251,1),(5446,1),(6289,1),(8218,1)}
4625:{3,5,6}:{(4037,1),(4056,1),(4319,1),(5129,1),(5178,1),(5185,1),(5432,1),(6307,1),(6566,1),(8197,1),(8793,1)}
4626:{3,6}:{(4038,1),(4059,1),(5128,1),(5184,1)}
4627:{3,4}:{(4125,1),(4325,1),(5191,1),(5262,1),(7490,1)}
4628:{3,7}:{(4127,1),(4328,1),(5192,1),(7489,1)}
4629:{3,7}:{(4124,1),(4328,1),(5195,1)}
4630:{3,4}:{(4126,1),(4325,1),(5189,1),(5260,1)}
4631:{3,4,5}:{(4115,1),(4130,1),(4332,1),(5196,1),(5329,1),(5474,1),(7608,1)}
4632:{3,4,5}:{(4112,1),(4128,1),(4332,1),(5199,1),(5265,1),(5331,1),(5474,1),(6578,1)}
4633:{3,4}:{(4114,1),(4129,1),(5264,1),(6248,1),(9523,1)}
4634:{3,4}:{(4113,1),(4131,1)}
4635:{5,6}:{(4060,1),(4068,1),(5204,1),(5432,1),(8197,1)}
4636:{5,6}:{(4063,1),(4070,1),(5206,1)}
4637:{2,5,6}:{(4062,1),(4071,1),(4269,1),(5163,1),(5205,1),(5432,1),(6340,1),(6566,1),(7584,1),(8197,1),(8200,1)}
4638:{2,5,6}:{(4061,1),(4069,1),(4269,1),(5161,1),(5207,1),(7584,1),(8200,1),(8428,1)}
4639:{2,6}:{(4038,1),(4067,1),(5215,1)}
4640:{2,6}:{(4036,1),(4066,1)}
4641:{2,5,6}:{(4037,1),(4065,1),(4340,1),(5213,1),(5219,1),(7383,1),(8237,1),(8889,1)}
4642:{2,5,6}:{(4039,1),(4064,1),(4340,1),(5218,1),(5489,1),(6607,1),(6612,1),(7380,1),(8237,1),(8239,1)}
4643:{2,4,5,7}:{(4035,1),(4066,1),(4078,1),(4344,1),(5208,1),(5216,1),(5226,1),(5233,1),(5497,1),(6302,1),(6335,1),(6340,1),(6346,1),(7338,1),(7340,1),(7383,1),(7387,1),(7406,1),(8148,1),(8256,1),(8258,1)}
4644:{2,4,5,7}:{(4034,1),(4064,1),(4077,1),(4344,1),(5211,1),(5218,1),(5227,1),(5234,1),(5497,1),(6341,1),(6349,1),(7380,1),(7385,1),(8138,1)}
4645:{2,4,5}:{(4032,1),(4067,1),(4076,1),(5210,1),(5217,1),(5225,1),(5232,1),(6303,1),(6339,1),(7343,1),(8137,1)}
4646:{2,4,5}:{(4033,1),(4065,1),(4079,1),(5219,1),(5224,1),(5235,1),(6338,1),(8889,1),(9245,1)}
4647:{4,6,7}:{(4068,1),(4073,1),(4087,1),(5204,1)}
4648:{4,6,7}:{(4070,1),(4075,1),(4086,1),(5165,1),(5206,1),(5236,1)}
4649:{2,4,6,7}:{(4071,1),(4072,1),(4084,1),(4284,1),(5167,1),(5205,1),(5445,1),(7591,1)}
4650:{2,4,6,7}:{(4069,1),(4074,1),(4085,1),(4284,1),(5166,1),(5207,1),(5238,1),(6283,1),(7591,1)}
4651:{2,4,6}:{(4042,1),(4079,1),(4090,1),(5209,1),(5222,1),(5240,1)}
4652:{2,4,6}:{(4043,1),(4077,1),(4089,1),(5211,1),(5241,1),(6349,1)}
4653:{2,4,6}:{(4040,1),(4078,1),(4091,1),(5208,1),(5243,1),(6302,1),(6346,1),(7406,1),(8146,1)}
4654:{2,4,6}:{(4041,1),(4076,1),(4088,1),(5210,1),(5221,1),(5242,1),(6303,1),(6342,1),(8137,1)}
4655:{2,3,5,6,7}:{(4044,1),(4082,1),(4084,1),(4334,1),(4351,1),(5167,1),(5205,1),(5214,1),(5370,1),(5450,1),(6291,1),(6323,1),(6365,1),(6373,1),(6619,1)}
4656:{2,5,7}:{(4045,1),(4081,1),(4085,1),(5166,1)}
4657:{2,3,5,6,7}:{(4046,1),(4083,1),(4087,1),(4334,1),(4351,1),(5164,1),(5204,1),(5212,1),(5369,1),(5450,1),(6274,1),(6290,1),(6325,1),(6335,1),(6364,1),(6371,1),(7294,1),(7387,1),(7413,1),(8155,1),(8815,1),(9302,1),(9557,1)}
4658:{2,5,7}:{(4047,1),(4080,1),(4086,1),(5165,1),(5206,1),(5215,1)}
4659:{3,5,7}:{(4060,1),(4101,1),(5168,1),(5174,1),(5204,1),(5229,1),(5244,1),(5365,1)}
4660:{2,3,5,7}:{(4062,1),(4102,1),(4292,1),(5169,1),(5175,1),(5205,1),(5230,1),(5246,1),(5366,1),(5491,1),(5504,1),(6291,1),(6319,1),(6635,1),(6698,1),(7421,1),(7584,1)}
4661:{3,5,7}:{(4063,1),(4103,1),(5171,1),(5172,1),(5206,1),(5228,1),(5247,1),(5367,1),(8207,1),(8950,1)}
4662:{2,3,5,7}:{(4061,1),(4100,1),(4292,1),(5170,1),(5173,1),(5207,1),(5231,1),(5245,1),(5364,1),(5491,1),(5504,1),(6292,1),(6320,1),(6608,1),(6620,1),(7389,1),(7584,1),(8206,1),(8428,1)}
4663:{2,5,6,7}:{(4050,1),(4089,1),(4359,1),(4360,1),(5223,1),(5489,1),(5491,1),(6344,1),(7381,1),(8240,1),(9522,1)}
4664:{2,7}:{(4051,1),(4088,1),(5495,1)}
4665:{2,5,7}:{(4048,1),(4090,1),(4359,1),(5222,1),(5495,1),(6348,1),(7383,1)}
4666:{2,6,7}:{(4049,1),(4091,1),(4360,1),(5489,1),(9518,1)}
4667:{3,6}:{(4070,1),(4097,1),(5383,1)}
4668:{2,3,6}:{(4069,1),(4098,1),(4301,1),(5178,1),(5381,1),(5489,1),(6607,1),(6612,1),(7507,1),(8239,1)}
4669:{2,3,4,6}:{(4071,1),(4099,1),(4301,1),(4357,1),(5177,1),(5230,1),(5253,1),(5380,1),(5438,1),(5464,1),(5489,1),(5510,1),(6288,1),(6345,1),(6572,1),(6598,1),(6612,1),(6615,1),(6624,1),(6638,1),(6696,1),(7373,1),(7398,1),(7431,1),(7506,1),(7592,1),(7597,1),(7606,1),(7627,1),(7630,1),(7632,1),(8217,1),(8239,1),(8264,1),(8419,1)}
4670:{3,4,6}:{(4068,1),(4096,1),(4357,1),(5229,1),(5252,1),(5382,1),(5438,1),(6289,1),(6598,1)}
4671:{2,3,4,5,7}:{(4072,1),(4095,1),(4304,1),(4358,1),(5205,1),(5239,1),(5257,1),(5384,1),(5434,1),(5439,1),(5455,1),(5465,1),(5490,1),(5512,1),(6291,1),(6317,1),(6334,1),(6362,1),(6373,1),(6403,1),(6480,1),(6579,1),(6599,1),(6609,1),(6617,1),(6619,1),(6623,1),(6625,1),(6633,1),(6640,1),(6749,1),(6750,1),(7273,1),(7293,1),(7319,1),(7325,1),(7327,1),(7331,1),(7337,1),(7338,1),(7384,1),(7387,1),(7389,1),(7391,1),(7409,1),(7414,1),(7417,1),(7418,1),(7587,1),(7588,1),(7598,1),(7610,1),(7621,1),(7634,1),(8123,1),(8128,1),(8130,1),(8197,1),(8230,1),(8241,1),(8243,1),(8246,1),(8253,1),(8256,1),(8323,1),(8417,1),(8420,1),(8424,1),(8425,1),(8436,1),(8797,1),(8839,1),(8893,1),(8895,1),(8903,1),(8918,1),(9570,1)}
4672:{3,4,5,7}:{(4073,1),(4092,1),(4358,1),(5204,1),(5237,1),(5259,1),(5385,1),(5434,1),(5439,1),(5455,1),(5465,1),(6290,1),(6315,1),(6371,1),(6579,1),(6599,1),(6749,1),(7317,1),(7327,1),(7328,1),(7338,1),(8197,1),(8323,1)}
4673:{3,5,7}:{(4075,1),(4093,1),(5206,1),(5236,1),(5256,1),(5386,1)}
4674:{2,3,5,7}:{(4074,1),(4094,1),(4304,1),(5207,1),(5238,1),(5258,1),(5387,1),(5490,1),(5512,1),(7275,1),(7295,1)}
4675:{2,3,7}:{(4054,1),(4078,1),(4368,1),(5243,1),(5391,1)}
4676:{2,3,7}:{(4055,1),(4077,1),(4368,1),(5241,1),(5388,1)}
4677:{2,3}:{(4052,1),(4076,1),(5389,1)}
4678:{2,3}:{(4053,1),(4079,1),(5390,1)}
4679:{3,5,6,7}:{(4111,1),(4181,1),(4373,1),(5174,1),(5180,1),(5393,1),(5450,1),(5452,1),(6290,1),(7253,1),(7270,1),(7422,1),(7627,1),(9339,1),(9518,1),(9557,1)}
4680:{3,5,7}:{(4108,1),(4182,1),(5172,1),(5182,1),(5470,1),(5478,1),(7261,1),(7282,1),(7490,1),(8321,1),(8328,1)}
4681:{3,5,6,7}:{(4110,1),(4183,1),(4373,1),(5175,1),(5181,1),(5394,1),(5450,1),(5452,1),(6291,1),(7259,1),(7278,1),(7421,1),(7627,1),(9522,1)}
4682:{3,5,7}:{(4109,1),(4180,1),(5173,1),(5183,1),(5470,1),(5478,1),(7257,1),(7271,1)}
4683:{2,3,5}:{(4056,1),(4065,1),(4116,1),(5154,1),(5224,1),(6248,1)}
4684:{2,3,5}:{(4059,1),(4067,1),(4119,1),(5151,1),(5225,1),(5249,1),(6234,1),(6339,1),(7261,1),(8137,1)}
4685:{2,3,5,7}:{(4057,1),(4066,1),(4117,1),(4382,1),(5146,1),(5226,1),(5251,1),(6243,1),(6340,1),(6346,1),(7260,1),(7383,1),(7387,1),(7434,1),(8134,1),(8258,1),(8266,1)}
4686:{2,3,5,7}:{(4058,1),(4064,1),(4118,1),(4382,1),(5148,1),(5227,1),(5248,1),(5504,1),(6239,1),(6346,1),(7387,1)}
4687:{3,6}:{(4114,1),(4185,1),(5259,1)}
4688:{2,3,6}:{(4113,1),(4186,1),(4324,1),(5198,1),(5257,1),(5477,1),(7606,1)}
4689:{3,6}:{(4112,1),(4187,1),(5256,1)}
4690:{2,3,6}:{(4115,1),(4184,1),(4324,1),(5196,1),(5258,1),(7606,1)}
4691:{2,3,5,7}:{(4115,1),(4121,1),(4191,1),(4326,1),(5189,1),(5202,1),(5245,1),(5254,1),(5258,1),(6245,1),(6320,1),(6322,1),(7275,1),(7611,1),(8333,1),(8846,1)}
4692:{2,3,5,7}:{(4113,1),(4123,1),(4189,1),(4326,1),(5190,1),(5203,1),(5246,1),(5253,1),(5257,1),(6243,1),(6309,1),(6317,1),(7260,1)}
4693:{3,5,7}:{(4114,1),(4120,1),(4190,1),(5200,1),(5244,1),(5252,1),(5259,1),(6307,1)}
4694:{3,5,7}:{(4112,1),(4122,1),(4188,1),(5191,1),(5247,1),(5255,1),(5256,1),(6324,1)}
4695:{3,6}:{(4120,1),(4195,1),(5244,1)}
4696:{3,4,6}:{(4122,1),(4194,1),(4386,1),(5247,1),(5255,1),(5441,1),(6286,1)}
4697:{2,3,4,6}:{(4121,1),(4192,1),(4331,1),(4386,1),(5193,1),(5245,1),(5254,1),(5441,1),(5483,1),(5495,1),(5533,1),(6287,1),(6349,1),(6574,1),(6612,1),(6616,1),(6628,1),(7397,1),(7404,1),(7633,1),(8432,1)}
4698:{2,3,6}:{(4123,1),(4193,1),(4331,1),(5195,1),(5246,1),(5495,1),(6612,1)}
4699:{1,4,5,7}:{(4034,1),(4124,1),(4198,1),(4402,1),(5190,1),(5273,1),(5276,1),(5292,1),(5554,1),(6420,1),(6658,1),(7642,1),(7643,1)}
4700:{1,4,5}:{(4033,1),(4126,1),(4197,1),(5189,1),(5279,1),(5294,1),(5297,1)}
4701:{1,4,5}:{(4032,1),(4125,1),(4196,1),(5191,1),(5277,1),(5295,1),(5299,1)}
4702:{1,4,5,7}:{(4035,1),(4127,1),(4199,1),(4402,1),(5188,1),(5275,1),(5278,1),(5293,1),(5554,1),(6418,1)}
4703:{1,4,6}:{(4043,1),(4124,1),(4225,1),(5195,1),(5273,1),(6658,1)}
4704:{1,4,6}:{(4041,1),(4125,1),(4226,1),(5194,1),(5272,1),(5281,1),(5441,1),(5558,1),(6286,1),(6671,1),(7347,1),(7461,1),(8173,1),(8962,1),(9373,1)}
4705:{1,4,6}:{(4042,1),(4126,1),(4224,1),(5193,1),(5274,1),(5283,1),(5441,1),(5558,1),(6287,1),(6574,1),(6658,1),(6671,1),(7461,1),(7463,1),(7592,1),(8432,1)}
4706:{1,4,6}:{(4040,1),(4127,1),(4227,1),(5192,1),(5275,1)}
4707:{4,6}:{(4130,1),(4234,1),(5268,1),(5288,1)}
4708:{1,4,6}:{(4129,1),(4232,1),(4288,1),(5197,1),(5269,1),(5291,1),(6289,1),(7322,1),(8169,1),(8203,1)}
4709:{4,6}:{(4128,1),(4235,1),(5270,1),(5289,1)}
4710:{1,4,6}:{(4131,1),(4233,1),(4288,1),(5198,1),(5271,1),(5290,1),(6288,1),(6577,1)}
4711:{4,5,7}:{(4130,1),(4238,1),(4410,1),(5287,1),(5288,1),(5294,1),(5543,1),(5546,1),(6407,1),(6432,1)}
4712:{1,4,7}:{(4129,1),(4237,1),(4289,1),(5200,1),(5284,1),(7322,1),(7327,1)}
4713:{4,5,7}:{(4128,1),(4239,1),(4410,1),(5285,1),(5289,1),(5295,1),(5543,1),(5546,1),(6406,1),(6433,1),(7353,1),(8207,1)}
4714:{1,4,7}:{(4131,1),(4236,1),(4289,1),(5203,1),(5286,1),(6576,1),(7327,1)}
4715:{1,5,7}:{(4045,1),(4135,1),(4139,1),(5309,1),(6407,1)}
4716:{1,5,6,7}:{(4044,1),(4132,1),(4138,1),(4414,1),(5542,1),(6409,1),(6663,1)}
4717:{1,5,6,7}:{(4046,1),(4134,1),(4137,1),(4414,1),(5302,1),(7294,1)}
4718:{1,5,7}:{(4047,1),(4133,1),(4136,1),(5300,1),(5311,1)}
4719:{1,4,5,6}:{(4037,1),(4135,1),(4146,1),(4419,1),(5137,1),(5140,1),(5279,1),(5303,1),(5375,1),(6260,1),(7442,1),(7454,1),(7474,1)}
4720:{1,4,6}:{(4036,1),(4134,1),(4144,1),(5141,1),(5374,1),(6256,1)}
4721:{1,4,6}:{(4038,1),(4133,1),(4147,1),(5134,1),(5142,1),(5300,1),(5372,1)}
4722:{1,4,5,6}:{(4039,1),(4132,1),(4145,1),(4419,1),(5130,1),(5276,1),(5373,1),(5547,1),(6262,1),(6410,1),(7504,1),(7584,1),(7586,1),(7658,1),(8200,1),(8418,1),(8448,1),(8938,1)}
4723:{1,4,5,7}:{(4048,1),(4141,1),(4151,1),(4420,1),(5283,1),(5323,1),(5376,1),(5553,1),(6570,1),(7318,1),(7442,1),(7466,1),(7493,1),(7660,1),(8195,1),(8284,1)}
4724:{1,4,7}:{(4051,1),(4140,1),(4149,1),(5321,1),(5379,1)}
4725:{1,4,5,6,7}:{(4050,1),(4142,1),(4150,1),(4420,1),(4422,1),(5282,1),(5322,1),(5377,1),(5547,1),(5549,1),(6425,1),(6512,1),(7316,1),(7441,1),(7466,1),(7482,1),(7504,1),(7584,1),(7586,1),(7658,1),(8199,1),(8284,1),(8418,1),(8448,1),(8928,1),(8938,1)}
4726:{1,4,6,7}:{(4049,1),(4143,1),(4148,1),(4422,1),(5320,1),(5378,1),(5547,1),(6510,1)}
4727:{1,4,7}:{(4055,1),(4230,1),(4430,1),(5307,1),(5325,1),(5388,1)}
4728:{1,4}:{(4052,1),(4228,1),(5299,1),(5389,1)}
4729:{1,4}:{(4053,1),(4229,1),(5297,1),(5390,1)}
4730:{1,4,7}:{(4054,1),(4231,1),(4430,1),(5304,1),(5327,1),(5391,1)}
4731:{1,3,6,7}:{(4137,1),(4154,1),(4158,1),(4316,1),(5315,1),(7271,1)}
4732:{1,3,6,7}:{(4138,1),(4152,1),(4157,1),(4316,1),(5476,1),(6323,1),(6596,1)}
4733:{3,6,7}:{(4136,1),(4153,1),(4159,1),(5311,1),(5313,1),(8164,1)}
4734:{3,6,7}:{(4139,1),(4155,1),(4156,1),(5309,1),(6322,1)}
4735:{1,3,5,6}:{(4132,1),(4152,1),(4162,1),(4317,1),(5132,1),(5467,1),(5563,1),(6434,1),(6455,1),(7360,1),(7703,1)}
4736:{3,5,6}:{(4135,1),(4155,1),(4163,1),(5136,1),(5309,1)}
4737:{1,3,5,6}:{(4134,1),(4154,1),(4161,1),(4317,1),(5131,1),(5139,1),(5563,1),(6434,1),(6454,1),(7257,1),(7263,1),(7473,1),(7584,1),(7602,1),(7606,1),(7703,1),(8327,1),(8393,1),(8450,1)}
4738:{3,5,6}:{(4133,1),(4153,1),(4160,1),(5134,1),(5138,1),(5311,1),(7252,1),(8164,1)}
4739:{1,3,4,7}:{(4157,1),(4165,1),(4318,1),(4418,1),(5290,1),(5405,1),(5482,1),(5573,1),(6570,1),(7331,1)}
4740:{1,4,7}:{(4158,1),(4164,1),(4318,1),(5404,1)}
4741:{4,7}:{(4159,1),(4167,1),(5318,1),(5407,1)}
4742:{3,4,7}:{(4156,1),(4166,1),(4418,1),(5288,1),(5319,1),(5406,1),(6508,1)}
4743:{4,6}:{(4153,1),(4174,1),(5135,1),(5410,1)}
4744:{1,4,6}:{(4154,1),(4175,1),(4319,1),(5129,1),(5408,1),(8353,1)}
4745:{3,4,6}:{(4155,1),(4173,1),(4419,1),(5130,1),(5287,1),(5411,1),(6262,1),(7586,1),(7601,1)}
4746:{1,3,4,6}:{(4152,1),(4172,1),(4319,1),(4419,1),(5137,1),(5286,1),(5409,1),(5479,1),(5572,1),(6260,1),(6410,1),(7300,1),(7454,1),(7476,1),(7606,1),(8162,1),(8301,1),(8353,1),(8828,1),(8954,1)}
4747:{3,6}:{(4143,1),(4168,1),(5143,1)}
4748:{3,4,6}:{(4140,1),(4171,1),(4441,1),(5136,1),(5321,1),(5412,1),(5558,1),(6286,1),(9373,1)}
4749:{3,5,6}:{(4142,1),(4169,1),(4444,1),(5135,1),(5195,1),(5469,1),(5543,1),(7504,1),(7584,1),(8233,1)}
4750:{3,4,5,6}:{(4141,1),(4170,1),(4441,1),(4444,1),(5138,1),(5193,1),(5323,1),(5414,1),(5460,1),(5469,1),(5543,1),(5558,1),(6286,1),(6300,1),(6306,1),(6333,1),(6489,1),(6571,1),(6574,1),(6593,1),(6597,1),(6651,1),(7259,1),(7320,1),(7350,1),(7375,1),(7505,1),(7584,1),(7586,1),(7592,1),(7601,1),(7604,1),(8206,1),(8207,1),(8219,1),(8233,1),(8432,1),(8899,1)}
4751:{1,4,5,6}:{(4164,1),(4176,1),(4320,1),(4442,1),(5132,1),(5269,1),(5317,1),(5417,1),(5559,1),(5568,1),(6289,1),(6413,1),(6420,1),(6434,1),(6752,1),(6754,1),(7442,1),(7452,1),(7453,1),(7459,1),(7703,1),(7704,1),(8169,1),(8197,1),(8830,1),(8932,1)}
4752:{3,5,6}:{(4166,1),(4178,1),(4421,1),(5141,1),(5268,1),(5319,1),(5477,1)}
4753:{1,3,4,5,6}:{(4165,1),(4177,1),(4320,1),(4421,1),(4442,1),(5139,1),(5271,1),(5316,1),(5418,1),(5473,1),(5477,1),(5559,1),(5568,1),(5570,1),(6289,1),(6310,1),(6401,1),(6410,1),(6418,1),(6434,1),(6450,1),(6577,1),(6594,1),(6603,1),(6683,1),(6694,1),(6752,1),(6754,1),(7263,1),(7333,1),(7344,1),(7357,1),(7436,1),(7452,2),(7453,1),(7459,1),(7473,1),(7480,1),(7559,1),(7584,1),(7600,1),(7602,1),(7606,1),(7656,1),(7703,1),(7704,1),(8176,1),(8180,1),(8197,1),(8200,1),(8209,1),(8224,1),(8311,1),(8318,1),(8325,1),(8331,1),(8419,1),(8422,1),(8450,1),(8797,1),(8822,1),(8925,1),(8929,1),(8932,2),(8945,1),(9021,1),(9276,2),(9570,1)}
4754:{5,6}:{(4167,1),(4179,1),(5143,1),(5318,1)}
4755:{1,2,5}:{(4062,1),(4193,1),(4391,1),(5246,1),(5273,1),(7532,1)}
4756:{1,5}:{(4063,1),(4194,1),(5247,1),(5543,1),(8207,1)}
4757:{1,5}:{(4060,1),(4195,1),(5244,1)}
4758:{1,2,5}:{(4061,1),(4192,1),(4391,1),(5245,1),(5274,1),(5543,1),(6487,1),(6679,1),(7584,1),(8207,1),(8428,1)}
4759:{1,4,6}:{(4068,1),(4190,1),(4203,1),(5252,1),(5334,1),(6289,1)}
4760:{1,2,4,6}:{(4069,1),(4191,1),(4200,1),(4398,1),(5254,1),(5279,1),(5287,1),(5335,1),(5381,1),(6255,1),(6287,1),(6422,1),(6464,1),(6612,1),(7308,1),(7507,1),(8170,1),(8220,1),(8396,1)}
4761:{1,4,6}:{(4070,1),(4188,1),(4201,1),(5255,1),(5285,1),(5332,1),(5383,1),(6286,1)}
4762:{1,2,4,6}:{(4071,1),(4189,1),(4202,1),(4398,1),(5253,1),(5276,1),(5286,1),(5333,1),(6288,1),(6410,1),(6612,1),(8239,1)}
4763:{1,2,4,7}:{(4074,1),(4184,1),(4204,1),(4401,1),(5258,1),(5288,1),(5387,1),(6469,1),(7642,1)}
4764:{1,4,7}:{(4073,1),(4185,1),(4207,1),(5259,1)}
4765:{1,4,7}:{(4075,1),(4187,1),(4205,1),(5256,1),(5289,1),(5386,1)}
4766:{1,2,4,7}:{(4072,1),(4186,1),(4206,1),(4401,1),(5257,1),(5290,1),(5554,1),(7642,1)}
4767:{1,2,4,7}:{(4077,1),(4124,1),(4209,1),(4472,1),(5263,1),(5340,1),(5354,1),(5388,1),(6557,1),(8242,1),(8284,1),(8866,1)}
4768:{1,2,4,7}:{(4078,1),(4127,1),(4210,1),(4472,1),(5261,1),(5343,1),(5352,1),(5391,1),(6555,1),(8857,1),(9323,1)}
4769:{1,2,4}:{(4076,1),(4125,1),(4208,1),(5262,1),(5353,1),(5389,1)}
4770:{1,2,4}:{(4079,1),(4126,1),(4211,1),(5260,1),(5355,1),(5390,1)}
4771:{2,4,5}:{(4130,1),(4242,1),(4475,1),(5351,1),(5360,1),(5603,1),(7406,1)}
4772:{2,4,5}:{(4128,1),(4243,1),(4475,1),(5265,1),(5349,1),(5361,1),(5603,1),(6578,1)}
4773:{1,2,4}:{(4131,1),(4241,1),(4350,1),(5267,1),(6349,1),(8138,1)}
4774:{1,2,4}:{(4129,1),(4240,1),(4350,1),(5264,1),(6346,1)}
4775:{1,2,5,6}:{(4081,1),(4135,1),(4197,1),(4200,1),(5279,1),(5371,1),(5400,1),(7308,1),(7474,1)}
4776:{1,2,5,6}:{(4080,1),(4133,1),(4196,1),(4201,1),(5277,1),(5332,1),(5368,1),(5372,1),(5402,1),(7310,1),(7475,1)}
4777:{1,2,5,6}:{(4082,1),(4132,1),(4198,1),(4202,1),(5276,1),(5563,1),(6437,1),(6525,1),(7703,1)}
4778:{1,2,5,6}:{(4083,1),(4134,1),(4199,1),(4203,1),(5278,1),(5334,1),(5374,1),(5563,1),(6434,1),(6523,1),(7703,1),(8393,1),(8981,1)}
4779:{1,2,6,7}:{(4084,1),(4138,1),(4202,1),(4206,1)}
4780:{1,2,6,7}:{(4086,1),(4136,1),(4201,1),(4205,1),(5337,1),(5368,1),(5396,1),(7386,1),(8309,1)}
4781:{1,2,6,7}:{(4087,1),(4137,1),(4203,1),(4207,1),(5336,1),(7387,1)}
4782:{1,2,6,7}:{(4085,1),(4139,1),(4200,1),(4204,1),(5371,1),(5398,1),(6281,1),(8312,1)}
4783:{1,2,6}:{(4091,1),(4143,1),(4210,1),(5415,1),(7303,1),(9518,1)}
4784:{1,2,5,6}:{(4089,1),(4142,1),(4209,1),(4488,1),(5340,1),(5413,1),(5602,1),(7313,1),(7381,1),(7554,1)}
4785:{1,2,5,6}:{(4090,1),(4141,1),(4211,1),(4488,1),(5341,1),(5376,1),(5414,1),(5495,1),(5602,1),(6348,1),(6612,1),(6716,1),(7310,1),(7382,1),(7514,1),(7534,1),(7552,1),(7670,1),(8394,1)}
4786:{1,2,6}:{(4088,1),(4140,1),(4208,1),(5379,1),(5412,1),(5495,1)}
4787:{1,2,5}:{(4065,1),(4146,1),(4218,1),(5156,1),(8889,1)}
4788:{1,2,5}:{(4067,1),(4147,1),(4219,1),(5158,1),(5372,1)}
4789:{1,2,5,7}:{(4066,1),(4144,1),(4216,1),(4493,1),(5150,1),(5374,1),(7691,1)}
4790:{1,2,5,7}:{(4064,1),(4145,1),(4217,1),(4493,1),(5152,1),(5373,1),(5602,1),(6475,1),(7380,1),(7554,1),(7584,1),(7611,1),(7668,1),(7691,1),(8182,1),(8428,1),(8450,1),(8891,1)}
4791:{1,5,6}:{(4093,1),(4187,1),(4212,1),(5270,1),(5383,1),(5386,1)}
4792:{1,2,4,5,6}:{(4095,1),(4186,1),(4213,1),(4427,1),(4485,1),(5271,1),(5333,1),(5380,1),(5384,1),(5423,1),(5551,1),(5568,1),(5578,1),(5609,1),(5629,1),(6288,1),(6410,1),(6437,1),(6490,1),(6522,1),(6552,1),(6577,1),(6612,1),(6662,1),(6707,1),(6710,1),(6712,1),(6718,1),(6723,1),(6752,1),(6754,1),(7307,1),(7380,1),(7440,1),(7453,1),(7458,1),(7459,1),(7501,1),(7516,1),(7524,1),(7527,1),(7547,1),(7559,1),(7584,1),(7643,1),(7644,1),(7647,1),(7656,1),(7668,1),(7683,1),(7684,1),(7703,1),(7704,1),(8165,1),(8166,1),(8176,1),(8197,1),(8200,1),(8239,1),(8280,1),(8348,1),(8352,1),(8353,1),(8354,1),(8361,1),(8371,1),(8373,1),(8419,1),(8447,1),(8450,1),(8460,1),(8797,1),(8822,1),(8828,1),(8925,1),(8929,1),(8932,2),(8966,1),(8970,1),(9021,1),(9278,1),(9292,2),(9520,1),(9570,1)}
4793:{1,4,5,6}:{(4092,1),(4185,1),(4215,1),(4485,1),(5269,1),(5334,1),(5382,1),(5385,1),(5420,1),(5568,1),(5578,1),(6289,1),(6413,1),(6434,1),(6662,1),(6752,1),(6754,1),(7442,1),(7452,1),(7459,1),(7647,1),(7703,1),(7704,1),(8197,1),(8932,1)}
4794:{1,2,5,6}:{(4094,1),(4184,1),(4214,1),(4427,1),(5268,1),(5381,1),(5387,1),(5629,1),(6612,1),(7308,1)}
4795:{1,2,4,5,7}:{(4099,1),(4213,1),(4220,1),(4428,1),(4486,1),(5298,1),(5366,1),(5380,1),(5425,1),(5552,1),(5579,1),(5610,1),(5630,1),(6428,1),(6530,1),(6576,1),(6658,1),(6662,1),(6704,1),(6708,1),(6714,1),(7440,1),(7527,1),(7532,1),(7538,1),(7584,1),(7642,1),(7643,1),(7655,1),(7668,1),(7691,1),(8176,1),(8297,1),(8348,1),(8360,1),(8361,1),(8371,1),(8419,1),(8450,1)}
4796:{1,2,5,7}:{(4098,1),(4214,1),(4222,1),(4428,1),(5297,1),(5381,1),(5546,1),(6438,1)}
4797:{1,4,5,7}:{(4096,1),(4215,1),(4223,1),(4486,1),(5365,1),(5382,1),(5426,1),(5579,1),(6429,1),(6662,1),(7442,1)}
4798:{1,5,7}:{(4097,1),(4212,1),(4221,1),(5299,1),(5383,1),(5546,1),(6439,1)}
4799:{1,4,6,7}:{(4101,1),(4195,1),(4223,1),(4246,1),(5304,1),(5365,1),(5382,1),(5428,1),(6429,1)}
4800:{1,2,4,6,7}:{(4100,1),(4192,1),(4222,1),(4244,1),(4433,1),(5283,1),(5305,1),(5364,1),(5381,1),(5557,1),(5634,1),(6422,1),(6438,1),(6511,1),(6529,1),(6658,1),(6719,1),(6722,1),(7451,1),(7507,1),(7530,1),(7536,1),(7542,1),(7642,1),(8301,1),(8353,1),(8358,1)}
4801:{1,4,6,7}:{(4103,1),(4194,1),(4221,1),(4245,1),(5281,1),(5306,1),(5367,1),(5383,1),(5557,1),(6424,1),(6439,1),(8226,1),(8304,1)}
4802:{1,2,4,6,7}:{(4102,1),(4193,1),(4220,1),(4247,1),(4433,1),(5282,1),(5307,1),(5366,1),(5380,1),(5429,1),(5634,1),(6428,1),(6441,1),(6528,1),(6658,1),(6719,1),(6743,1),(7532,1),(7538,1),(7583,1),(7642,1),(8360,1)}
4803:{1,2,5,6,7}:{(4106,1),(4148,1),(4227,1),(4246,1),(4504,1),(5280,1),(5365,1),(5378,1),(5393,1),(5622,1),(6496,1),(6521,1),(6527,1),(7522,1)}
4804:{1,2,3,5,7}:{(4104,1),(4151,1),(4224,1),(4244,1),(4480,1),(5283,1),(5364,1),(5371,1),(5376,1),(5395,1),(5478,1),(5644,1),(6320,1),(6322,1),(6370,1),(6388,1),(6438,1),(6529,1),(6639,1),(6737,1),(7470,1),(7545,1),(7660,1),(8187,1),(8358,1),(8846,1)}
4805:{1,2,3,5,7}:{(4107,1),(4149,1),(4226,1),(4245,1),(4480,1),(5281,1),(5367,1),(5368,1),(5379,1),(5392,1),(5478,1),(5644,1),(6271,1),(6318,1),(6324,1),(6372,1),(6386,1),(6439,1),(6495,1),(6518,1),(6526,1),(6737,1),(7288,1),(7386,1),(7415,1),(7471,1),(7490,1),(7523,1),(7660,1),(8187,1),(8321,1),(8357,1),(8846,1),(9269,1),(9515,1)}
4806:{1,2,5,6,7}:{(4105,1),(4150,1),(4225,1),(4247,1),(4504,1),(5282,1),(5366,1),(5394,1),(5622,1),(6528,1),(7546,1)}
4807:{1,6}:{(4111,1),(4231,1)}
4808:{1,3,6}:{(4108,1),(4228,1),(4482,1),(5306,1),(5392,1),(7490,1),(8356,1)}
4809:{1,6}:{(4110,1),(4230,1)}
4810:{1,3,6}:{(4109,1),(4229,1),(4482,1),(5305,1),(5395,1),(7491,1),(8353,1)}
4811:{2,3,6}:{(4155,1),(4200,1),(4238,1),(5287,1),(7507,1),(7601,1)}
4812:{1,2,3,6}:{(4154,1),(4203,1),(4237,1),(4374,1),(5252,1),(5284,1),(5408,1),(6390,1),(7427,1)}
4813:{2,3,6}:{(4153,1),(4201,1),(4239,1),(5255,1),(5285,1),(5410,1),(7507,1),(7601,1),(8164,1),(8810,1)}
4814:{1,2,3,6}:{(4152,1),(4202,1),(4236,1),(4374,1),(5253,1),(5286,1),(6638,1),(7427,1)}
4815:{2,3,7}:{(4159,1),(4205,1),(4235,1),(5256,1),(5289,1),(5407,1)}
4816:{2,3,7}:{(4156,1),(4204,1),(4234,1),(5288,1)}
4817:{1,2,3,5,7}:{(4157,1),(4206,1),(4233,1),(4375,1),(4510,1),(5257,1),(5290,1),(5399,1),(5405,1),(5544,1),(6317,1),(6373,1),(6409,1),(6478,1),(6640,1)}
4818:{1,2,3,5,7}:{(4158,1),(4207,1),(4232,1),(4375,1),(4510,1),(5259,1),(5291,1),(5397,1),(5404,1),(5544,1),(6267,1),(6315,1),(6371,1),(6402,1),(6408,1),(6479,1),(7271,1),(7387,1),(7410,1),(8196,1),(8854,1),(9278,1),(9523,1)}
4819:{2,3,5}:{(4163,1),(4197,1),(4252,1),(5159,1),(5189,1),(5294,1),(5543,1),(6487,1),(6593,1)}
4820:{1,2,3,5,7}:{(4161,1),(4199,1),(4254,1),(4376,1),(4513,1),(5148,1),(5188,1),(5244,1),(5293,1),(5403,1),(6239,1),(6346,1),(6371,1),(6375,1),(6448,1),(6521,1),(7387,1),(7413,1),(7468,1),(7489,1),(7522,1),(7535,1),(8323,1),(8359,1)}
4821:{2,3,5}:{(4160,1),(4196,1),(4255,1),(5155,1),(5191,1),(5247,1),(5295,1),(5543,1),(6348,1),(6487,1),(6593,1),(7252,1),(8147,1),(8207,1)}
4822:{1,2,3,5,7}:{(4162,1),(4198,1),(4253,1),(4376,1),(4513,1),(5146,1),(5190,1),(5246,1),(5292,1),(5401,1),(6243,1),(6373,1),(6447,1),(6521,1),(7260,1),(7469,1),(7489,1),(7522,1),(7532,1),(7545,1),(8323,1),(8360,1)}
4823:{1,2,3,6}:{(4165,1),(4241,1),(4380,1),(4489,1),(5350,1),(5405,1),(5536,1),(5629,1),(6612,1),(7398,1)}
4824:{1,2,6}:{(4164,1),(4240,1),(4380,1),(5404,1)}
4825:{2,3,6}:{(4166,1),(4242,1),(4489,1),(5351,1),(5406,1)}
4826:{2,6}:{(4167,1),(4243,1),(5407,1)}
4827:{2,3,5,7}:{(4168,1),(4210,1),(4251,1),(4518,1),(5149,1),(5261,1),(5352,1),(5415,1),(6247,1),(6375,1),(6486,1)}
4828:{2,3,5}:{(4170,1),(4211,1),(4248,1),(5155,1),(5260,1),(5355,1),(5495,1),(6348,1),(6628,1)}
4829:{2,3,5,7}:{(4169,1),(4209,1),(4250,1),(4518,1),(5144,1),(5263,1),(5354,1),(5413,1),(6242,1)}
4830:{2,3,5}:{(4171,1),(4208,1),(4249,1),(5159,1),(5262,1),(5353,1),(5412,1),(5495,1),(6348,1),(6487,1),(6628,1),(8871,1),(9325,1)}
4831:{2,5,7}:{(4174,1),(4243,1),(4256,1),(5155,1),(5407,1),(5410,1)}
4832:{1,2,3,5,7}:{(4172,1),(4241,1),(4258,1),(4381,1),(4492,1),(5157,1),(5357,1),(5405,1),(5409,1),(5537,1),(5630,1),(6475,1),(6478,1),(6561,1),(7533,1),(7545,1),(8358,1),(8411,1),(8861,1),(8882,1),(9001,1)}
4833:{1,2,5,7}:{(4175,1),(4240,1),(4257,1),(4381,1),(5154,1),(5356,1),(5404,1),(5408,1),(6474,1),(8854,1),(9278,1)}
4834:{2,3,5,7}:{(4173,1),(4242,1),(4259,1),(4492,1),(5156,1),(5358,1),(5406,1),(5411,1),(7434,1),(7611,1),(8266,1)}
4835:{2,3,5}:{(4178,1),(4260,1),(4493,1),(5360,1),(5603,1),(6486,1),(6637,1),(7584,1)}
4836:{1,2,3,5}:{(4177,1),(4262,1),(4382,1),(4493,1),(5362,1),(5527,1),(5538,1),(5628,1),(5631,1),(6346,1),(6375,1),(6521,1),(6565,1),(6648,1),(7489,1),(7532,1),(7535,2),(8380,1),(8410,1)}
4837:{1,2,5}:{(4176,1),(4263,1),(4382,1),(5363,1),(6346,1),(7532,1),(7535,1)}
4838:{2,5}:{(4179,1),(4261,1),(5361,1),(6486,1)}
4839:{1,2,3,5}:{(4115,1),(4214,1),(4267,1),(4451,1),(5245,1),(5329,1),(5474,1),(5527,1),(6379,1),(6679,1),(6736,1),(7584,1)}
4840:{1,2,3,5}:{(4113,1),(4213,1),(4265,1),(4451,1),(5246,1),(5328,1),(5475,1),(5527,1),(5591,1),(6374,1),(6447,1),(6565,1),(6648,1),(7488,1),(7489,1),(7532,1),(8334,1),(8409,1)}
4841:{1,3,5}:{(4114,1),(4215,1),(4266,1),(5244,1),(5330,1),(5475,1),(7489,1),(8325,1)}
4842:{1,3,5}:{(4112,1),(4212,1),(4264,1),(5247,1),(5331,1),(5474,1),(6679,1)}
4843:{1,3,7}:{(4120,1),(4223,1),(4266,1),(5259,1),(5481,1),(7489,1),(8323,1)}
4844:{1,3,4,7}:{(4122,1),(4221,1),(4264,1),(4521,1),(5256,1),(5326,1),(5424,1),(5484,1),(5599,1),(6468,1),(7608,1)}
4845:{1,2,3,4,7}:{(4121,1),(4222,1),(4267,1),(4455,1),(4521,1),(5258,1),(5324,1),(5427,1),(5484,1),(5535,1),(5599,1),(5654,1),(6404,1),(6469,1),(6556,1),(6576,1),(6742,1),(6745,1)}
4846:{1,2,3,7}:{(4123,1),(4220,1),(4265,1),(4455,1),(5257,1),(5325,1),(5481,1),(5535,1),(6388,1),(6689,1),(8841,1)}
4847:{5,7}:{(4269,1),(4284,1)}
4848:{4,5,6}:{(4269,1),(4270,1),(4282,1),(5432,1),(5433,1),(5449,1),(5487,1),(6338,1),(6566,1),(6568,1),(6572,1),(7379,1),(7584,1),(8197,1),(8200,1)}
4849:{4,5}:{(4288,1),(4526,1),(4527,1),(5432,1),(5488,1),(8197,1)}
4850:{4,6,7}:{(4271,1),(4334,1),(4528,1),(4530,1),(5450,1),(6746,1)}
4851:{4,5,7}:{(4272,1),(4335,1),(4529,1),(4530,1),(5451,1),(8197,1),(8797,1)}
4852:{4,5,6}:{(4271,1),(4274,1),(4333,1),(5438,1),(5452,1),(6746,1),(7504,1),(7584,1),(8208,1),(8218,1)}
4853:{4,6}:{(4277,1),(4290,1),(5489,1)}
4854:{4,5,7}:{(4276,1),(4283,1),(4291,1),(5436,1),(5490,1),(6570,1)}
4855:{4,5,7}:{(4270,1),(4286,1),(4292,1),(5437,1),(5440,1),(5491,1),(6568,1),(6570,1),(6571,1),(7584,1)}
4856:{4,7}:{(4278,1),(4351,1)}
4857:{4,5,6}:{(4278,1),(4279,1),(4352,1),(5438,1),(5439,1),(5443,1),(5664,1),(5665,1),(6288,1),(6289,1),(6568,1),(6572,1),(6577,1),(6746,1),(6748,1),(7340,1),(7344,1),(7584,1),(8197,1),(8200,1),(8208,1),(8214,1),(8419,1),(8797,2),(9021,1),(9570,1)}
4858:{4,5,7}:{(4273,1),(4285,1),(4353,1),(5441,1),(5442,1),(6303,1),(6571,1),(6575,1),(7351,1),(7353,1),(8129,1),(8207,1),(8432,1)}
4859:{4,5,7}:{(4279,1),(4287,1),(4354,1),(5438,1),(5444,1),(6302,1),(6568,1),(6576,1),(7338,1),(7340,1),(7354,1),(7584,1),(8208,1),(8419,1)}
4860:{4}:{(4311,1),(5495,1)}
4861:{4,6,7}:{(4282,1),(4283,1),(4370,1),(5166,1),(5433,1),(6350,1),(6570,1),(7379,1)}
4862:{4}:{(4371,1)}
4863:{4,6}:{(4289,1),(4374,1),(5432,1)}
4864:{4,7}:{(4288,1),(4375,1)}
4865:{4,7}:{(4376,1),(4534,1),(4536,1),(5446,1),(6302,1),(7322,1),(8419,1)}
4866:{3,5,6,7}:{(4268,1),(4290,1),(4291,1),(4294,1),(5436,1),(5560,1),(5660,1),(5661,1),(6412,1),(6566,1),(6596,1),(7360,1)}
4867:{3,5,6}:{(4269,1),(4292,1),(4301,1),(5437,1),(5561,1),(6566,1),(6651,1),(7584,1),(8200,1)}
4868:{3,5}:{(4308,1),(4525,1),(4526,1)}
4869:{3,5}:{(4270,1),(4305,1),(5562,1)}
4870:{3,6}:{(4271,1),(4296,1),(5563,1)}
4871:{3,5,6}:{(4272,1),(4295,1),(4537,1),(4538,1),(5451,1),(5564,1)}
4872:{3,5}:{(4273,1),(4303,1),(5565,1)}
4873:{3,5,7}:{(4274,1),(4295,1),(4309,1),(5174,1),(5175,1),(5452,1),(5566,1),(6580,1),(9339,1),(9557,1)}
4874:{3,4,5,6,7}:{(4275,1),(4293,1),(4302,1),(5437,1),(5442,1),(5447,1),(5453,1),(5457,1),(5460,1),(5471,1),(5506,1),(5567,1),(6283,1),(6292,1),(6297,1),(6570,1),(6571,1),(6575,1),(6591,1),(6597,1),(6602,1),(6651,1),(7318,1),(7329,1),(7334,1),(7367,1),(7368,1),(7437,1),(7584,1),(7586,1),(7592,1),(7601,1),(7603,1),(7604,1),(7609,1),(8129,1),(8206,1),(8207,1),(8229,1),(8417,1),(8432,1),(8791,1),(8800,1),(8846,1),(8893,1),(9254,1),(9548,1)}
4875:{3,4,6}:{(4278,1),(4297,1),(4538,1),(4539,1),(5455,1),(5477,1),(5511,1),(5568,1)}
4876:{3,4,5}:{(4279,1),(4295,1),(4306,1),(5174,1),(5175,1),(5463,1),(5475,1),(5507,1),(5569,1),(6299,1),(6301,1),(6302,1),(6304,1),(6590,1),(6637,1),(7348,1),(7489,1),(8336,1),(9020,1),(9339,1)}
4877:{3,4,5,6}:{(4276,1),(4298,1),(4299,1),(4312,1),(5443,1),(5449,1),(5454,1),(5459,1),(5461,1),(5473,1),(5508,1),(5570,1),(6289,1),(6568,1),(6572,1),(6577,1),(6581,1),(6603,1),(7333,1),(7584,1),(7585,1),(7602,1),(7606,1),(8197,1),(8200,1),(8209,1),(8419,1),(8422,1),(8797,1),(9021,1),(9276,1),(9570,1)}
4878:{3,4,5,7}:{(4277,1),(4298,1),(4307,1),(4313,1),(5440,1),(5444,1),(5459,1),(5472,1),(5509,1),(5571,1),(6299,1),(6568,1),(6570,1),(6576,1),(6604,1),(7319,1),(7331,1),(7333,1),(7584,1),(7602,1),(8419,1)}
4879:{3,4,6}:{(4282,1),(4300,1),(4314,1),(5178,1),(5449,1),(5510,1),(5572,1),(6572,1),(7606,1)}
4880:{3,4,7}:{(4283,1),(4299,1),(4315,1),(5512,1),(5573,1),(6570,1)}
4881:{3,4,6,7}:{(4284,1),(4294,1),(4301,1),(4304,1),(5238,1),(5436,1),(5447,1),(5476,1),(5574,1),(6283,1),(6412,1),(6570,1),(6596,1),(7368,1),(7437,1),(7591,1)}
4882:{3,4,7}:{(4285,1),(4303,1),(4355,1),(5478,1),(5513,1),(5575,1)}
4883:{3,4,6,7}:{(4286,1),(4305,1),(4307,1),(4372,1),(5183,1),(5453,1),(5459,1),(5460,1),(5514,1),(5576,1),(6297,1),(6299,1),(6570,1),(7329,1),(7331,1)}
4884:{3,4,7}:{(4287,1),(4306,1),(4373,1),(5481,1),(5515,1),(5577,1),(8126,1),(8840,1),(9323,1)}
4885:{3,4,7}:{(4308,1),(4377,1),(4531,1),(4532,1),(5448,1),(8323,1)}
4886:{3,4,6}:{(4288,1),(4310,1),(4378,1),(5443,1),(5454,1),(5465,1),(5578,1),(6288,1),(6289,1),(6572,1),(6577,1),(7322,1),(7359,1),(7606,1),(8203,1),(8234,1),(8419,1),(9021,1),(9245,1),(9523,1),(9570,1)}
4887:{3,4,7}:{(4289,1),(4310,1),(4379,1),(5444,1),(5464,1),(5579,1),(6576,1),(7322,1),(7327,1),(8234,1),(8419,1)}
4888:{3,5}:{(4331,1),(4391,1),(5440,1)}
4889:{3,5,6}:{(4313,1),(4314,1),(4392,1),(5459,1),(6598,1),(7257,1),(7584,1),(7602,1),(7606,1)}
4890:{3,5,7}:{(4312,1),(4321,1),(4394,1),(8197,1),(8323,1),(9276,1)}
4891:{3,5,6}:{(4311,1),(4322,1),(4395,1),(5460,1),(5469,1),(5470,1),(5471,1),(6602,1),(7604,1),(8233,1)}
4892:{3,6,7}:{(4314,1),(4315,1),(4396,1),(7271,1)}
4893:{3,5,6,7}:{(4316,1),(4317,1),(4393,1),(4540,1),(4542,1),(5187,1),(5450,1),(5660,1),(5661,1),(6290,1),(6323,1),(6325,1),(6371,1),(6566,1),(6596,1),(7360,1),(7361,1),(7366,1),(7593,1),(7600,1),(8197,1),(8323,1),(8945,1)}
4894:{3,5}:{(4327,1),(4397,1),(7584,1)}
4895:{3,4,6,7}:{(4280,1),(4316,1),(4318,1),(4319,1),(5185,1),(5315,1),(5445,1),(5529,1),(6350,1),(7271,1)}
4896:{3,4,5,7}:{(4281,1),(4318,1),(4320,1),(4540,1),(4542,1),(5187,1),(5317,1),(5434,1),(5455,1),(5530,1),(5666,1),(5667,1),(6290,1),(6315,1),(6567,1),(6570,1),(6605,1),(6749,1),(7317,1),(7319,1),(7327,1),(7328,1),(7331,1),(7338,1),(7366,1),(8121,1),(8122,1),(8128,1),(8197,1),(8323,1)}
4897:{3,6}:{(4326,1),(4398,1)}
4898:{3,6,7}:{(4322,1),(4323,1),(4399,1),(5471,1),(5478,1),(6322,1),(6602,1),(8846,1)}
4899:{3,6}:{(4325,1),(4400,1),(5470,1),(5478,1),(7490,1)}
4900:{3,7}:{(4324,1),(4401,1)}
4901:{3,5}:{(4328,1),(4402,1),(5477,1),(5486,1),(7489,1)}
4902:{3,4,6}:{(4322,1),(4329,1),(4403,1),(5195,1),(5469,1),(5533,1),(6299,1),(6574,1),(7608,1),(8233,1)}
4903:{3,6}:{(4328,1),(4405,1),(5475,1),(5481,1),(7489,1)}
4904:{3,4,7}:{(4323,1),(4327,1),(4406,1),(5472,1),(5481,1),(5535,1),(6576,1)}
4905:{3,4,6}:{(4324,1),(4330,1),(4404,1),(5473,1),(5477,1),(5482,1),(5536,1),(6577,1),(7606,1)}
4906:{3,4,5,7}:{(4326,1),(4329,1),(4330,1),(4407,1),(5189,1),(5190,1),(5203,1),(5440,1),(5469,1),(5472,1),(5479,1),(5482,1),(5537,1),(6246,1),(6298,1),(6299,1),(6309,1),(6317,1),(6320,1),(6322,1),(6570,1),(6574,1),(6576,1),(6592,1),(6604,1),(7267,1),(7277,1),(7319,1),(7323,1),(7325,1),(7329,1),(7331,1),(7333,1),(7355,1),(7584,1),(7588,1),(7602,1),(7608,1),(8206,1),(8234,1),(8235,1),(8419,1),(8425,1),(8426,1)}
4907:{3,4,6}:{(4332,1),(4384,1),(4409,1),(5474,1),(5484,1),(5598,1),(6595,1),(7608,1),(8233,1)}
4908:{3,4,7}:{(4332,1),(4385,1),(4410,1),(5441,1),(5483,1),(5485,1),(5599,1),(6574,1),(6575,1),(6576,1),(7353,1),(7608,1),(8432,1)}
4909:{2,5,6,7}:{(4268,1),(4333,1),(4335,1),(4338,1),(5204,1),(5205,1),(5435,1),(6335,1),(6566,1),(7376,1),(8197,1),(8815,1),(8903,1)}
4910:{2,5}:{(4270,1),(4347,1)}
4911:{2,4,5,6}:{(4273,1),(4336,1),(4346,1),(5161,1),(5162,1),(5209,1),(5210,1),(5442,1),(5493,1),(5505,1),(6303,1),(6342,1),(6345,1),(7401,1),(8207,1),(8890,1),(9254,1)}
4912:{2,5,7}:{(4275,1),(4336,1),(4345,1),(5206,1),(5495,1),(7584,1)}
4913:{2,5,6}:{(4276,1),(4337,1),(4342,1),(5488,1),(5489,1),(5490,1),(6607,1),(6612,1),(7380,1),(8239,1)}
4914:{2,5,7}:{(4277,1),(4337,1),(4349,1),(5489,1)}
4915:{2,4,5}:{(4279,1),(4337,1),(4348,1),(5208,1),(5498,1),(5507,1),(6302,1),(6346,1),(6349,1),(7406,1),(9020,1),(9339,1)}
4916:{2,6,7}:{(4280,1),(4339,1),(4340,1),(5213,1),(7387,1),(8237,1)}
4917:{2,5,7}:{(4281,1),(4339,1),(4341,1),(5212,1),(5497,1),(7387,1)}
4918:{2,4,6}:{(4282,1),(4340,1),(4343,1),(5487,1),(5489,1),(5510,1),(6572,1),(6607,1),(6612,1),(7379,1),(8237,1),(8239,1)}
4919:{2,4,7}:{(4283,1),(4339,1),(4342,1),(5490,1),(5512,1),(7387,1)}
4920:{2,4,6}:{(4278,1),(4341,1),(4344,1),(5497,1),(5511,1)}
4921:{2,4,7}:{(4285,1),(4346,1),(4356,1),(5165,1),(5166,1),(5513,1)}
4922:{2,4,6,7}:{(4286,1),(4347,1),(4349,1),(4359,1),(5222,1),(5489,1),(5491,1),(5495,1),(5514,1),(6345,1),(6349,1),(6612,1),(6613,1),(6615,1),(6616,1),(7384,1),(7385,1),(8239,1),(8240,1)}
4923:{2,4,7}:{(4287,1),(4348,1),(4360,1),(5515,1),(9323,1)}
4924:{2,4,6}:{(4288,1),(4350,1),(4380,1),(5488,1),(5500,1),(6607,1)}
4925:{2,4,7}:{(4289,1),(4350,1),(4381,1),(5224,1),(5499,1),(6350,1),(7322,1),(7327,1),(9245,1)}
4926:{2,4}:{(4382,1),(4534,1),(4536,1),(6302,1),(6346,1)}
4927:{2,3,5,6}:{(4290,1),(4333,1),(4354,1),(4357,1),(5229,1),(5438,1),(5452,1),(5489,1),(5622,1),(6344,1),(6598,1),(6624,1),(6638,1),(6696,1),(7504,1),(7584,1),(7627,1)}
4928:{2,3,5,7}:{(4291,1),(4335,1),(4352,1),(4365,1),(5204,1),(5205,1),(5439,1),(5451,1),(5490,1),(5623,1),(5673,1),(6290,1),(6291,1),(6335,1),(6371,1),(6480,1),(6579,1),(6599,1),(6749,1),(7294,1),(7387,1),(7418,1),(7610,1),(8197,1),(8420,1),(8903,1),(9557,1)}
4929:{2,3,5,6}:{(4293,1),(4336,1),(4353,1),(4362,1),(5228,1),(5442,1),(5504,1),(5624,1),(6342,1),(6602,1),(6651,1),(7428,1),(7507,1),(7601,1),(8207,1)}
4930:{2,3,6,7}:{(4294,1),(4338,1),(4357,1),(4358,1),(5237,1),(5450,1),(5625,1),(5660,1),(5661,1),(6607,1),(7387,1),(7427,1),(7619,1),(8237,1)}
4931:{2,3,5}:{(4298,1),(4337,1),(4366,1),(5498,1),(5628,1),(6346,1),(6648,1)}
4932:{2,3,6}:{(4299,1),(4342,1),(4361,1),(5512,1),(5629,1),(6612,1)}
4933:{2,3,5,7}:{(4300,1),(4343,1),(4361,1),(4367,1),(5235,1),(5504,1),(5510,1),(5512,1),(5518,1),(5630,1),(6362,1),(6620,1),(7389,1),(8134,1)}
4934:{2,3,5}:{(4297,1),(4344,1),(4368,1),(5511,1),(5519,1),(5631,1)}
4935:{2,3,6,7}:{(4302,1),(4345,1),(4362,1),(4363,1),(5236,1),(5489,1),(5513,1),(5632,1),(6638,1),(7275,1)}
4936:{2,3,6}:{(4303,1),(4346,1),(4364,1),(5178,1),(5179,1),(5513,1),(5633,1),(6628,1)}
4937:{2,3,6}:{(4305,1),(4347,1),(4367,1),(5504,1),(5634,1)}
4938:{2,3,6}:{(4306,1),(4348,1),(4368,1),(5507,1),(5515,1),(5635,1),(8146,1)}
4939:{2,3,7}:{(4307,1),(4349,1),(4366,1),(5495,1),(5636,1)}
4940:{2,3,4,6}:{(4308,1),(4369,1),(4383,1),(4543,1),(4544,1),(5443,1),(5464,1),(5503,1),(5669,1),(6615,1),(8221,1),(8818,1),(9307,1),(9570,1)}
4941:{2,3,4}:{(4310,1),(4350,1),(4361,1),(5264,1),(5498,1),(5637,1),(6346,1),(6349,1),(6648,1),(8138,1),(8877,1)}
4942:{2,3,5}:{(4311,1),(4386,1),(4457,1),(5247,1),(5441,1),(5470,1),(5495,1),(6348,1),(6628,1)}
4943:{2,3,5,6}:{(4312,1),(4371,1),(4383,1),(4459,1),(5443,1),(5503,1),(5521,1),(6380,1),(7260,1),(7427,1),(8197,1)}
4944:{2,3,5,7}:{(4313,1),(4371,1),(4388,1),(4460,1),(5244,1),(5246,1),(5444,1),(5504,1),(5520,1),(6346,1),(6371,1),(7260,1),(7387,1)}
4945:{2,3,5}:{(4295,1),(4390,1),(4461,1),(5463,1),(5475,1),(6648,1),(7489,1)}
4946:{2,3,5,7}:{(4296,1),(4389,1),(4462,1),(4546,1),(4548,1),(5188,1),(5190,1),(5466,1),(5523,1),(5677,1),(6239,1),(6243,1),(6580,1),(6749,1),(7258,1),(7260,1),(7489,1),(8323,1),(8325,1),(8877,1)}
4947:{2,3,6,7}:{(4316,1),(4374,1),(4375,1),(4463,1),(5445,1),(5660,1),(5661,1),(6607,1),(7427,1)}
4948:{2,3,5,6}:{(4317,1),(4374,1),(4376,1),(4458,1),(5251,1),(5432,1),(5446,1),(5523,1),(6340,1),(6580,1),(6638,1),(7260,1),(7427,1),(7584,1),(8197,1)}
4949:{2,3,6}:{(4314,1),(4379,1),(4464,1),(5252,1),(5464,1),(6598,1),(7606,1)}
4950:{2,3,5,7}:{(4315,1),(4377,1),(4378,1),(4465,1),(5257,1),(5259,1),(5448,1),(5465,1),(5512,1),(5528,1),(5677,1),(6315,1),(6317,1),(6362,1),(6371,1),(6402,1),(6579,1),(6599,1),(6749,1),(7271,1),(7387,1),(7389,1),(7634,1),(8323,1),(8424,1),(8918,1),(9523,1)}
4951:{2,3,7}:{(4318,1),(4339,1),(4380,1),(5404,1),(5500,1),(7387,1)}
4952:{2,3,6}:{(4319,1),(4340,1),(4381,1),(5408,1),(5499,1),(6607,1),(8237,1)}
4953:{2,3,5,6}:{(4320,1),(4341,1),(4380,1),(4382,1),(5251,1),(5417,1),(5488,1),(5501,1),(5511,1),(5530,1),(6340,1),(6380,1),(6400,1),(6607,1),(6612,1),(6621,1),(7260,1),(7376,1),(7380,1),(7383,1),(7398,1),(7399,1),(7427,1),(7619,1),(8134,1),(8135,1),(8197,1),(8237,1),(8239,1),(8266,1),(8807,1),(8889,1)}
4954:{2,3,6,7}:{(4321,1),(4377,1),(4383,1),(4466,1),(5512,1),(5521,1),(5677,1),(6402,1),(7387,1),(7427,1),(7634,1),(8323,1),(9307,1)}
4955:{2,3,6}:{(4322,1),(4385,1),(4467,1),(5255,1),(5483,1),(6595,1),(6602,1),(7601,1),(8233,1)}
4956:{2,3,7}:{(4323,1),(4384,1),(4468,1),(5256,1),(5484,1)}
4957:{2,3,5}:{(4325,1),(4469,1),(5189,1),(5191,1),(5260,1),(5262,1),(5470,1),(5485,1),(5532,1),(6593,1),(6628,1),(7490,1),(8333,1),(8412,1)}
4958:{2,3,6}:{(4327,1),(4387,1),(4470,1),(5527,1),(5535,1),(6648,1)}
4959:{2,3,7}:{(4329,1),(4387,1),(4471,1),(5260,1),(5495,1),(5533,1),(6628,1)}
4960:{2,3}:{(4328,1),(4472,1),(5541,1)}
4961:{2,3,5}:{(4330,1),(4387,1),(4473,1),(5267,1),(5536,1),(6648,1)}
4962:{2,3,6,7}:{(4309,1),(4389,1),(4390,1),(4474,1),(5192,1),(5195,1),(5241,1),(5243,1),(5481,1),(5515,1),(5523,1),(5525,1),(5677,1),(6323,1),(6325,1),(6598,1),(6624,1),(7489,1),(8323,1),(8840,1),(8873,1),(8956,1)}
4963:{2,3,4}:{(4332,1),(4387,1),(4475,1),(5265,1),(5541,1),(5659,1)}
4964:{1,5,6}:{(4269,1),(4391,1),(4398,1),(5467,1),(5542,1)}
4965:{1,5}:{(4408,1),(4526,1),(4527,1)}
4966:{1,4,5,6,7}:{(4268,1),(4392,1),(4394,1),(4396,1),(5433,1),(5435,1),(5436,1),(5468,1),(5542,1),(5560,1),(5601,1),(5660,1),(5662,1),(6413,1),(6415,1),(6566,1),(6570,1),(6573,1),(6655,1),(6663,1),(6664,1),(6668,1),(6746,1),(7286,1),(7379,1),(7439,1),(7585,1),(7639,1),(7642,1),(7647,1),(7703,1),(8197,1),(8353,1),(8447,1)}
4967:{1,4,5}:{(4270,1),(4391,1),(4403,1),(5440,1),(5469,1),(5543,1),(5562,1),(5602,1),(6489,1),(6571,1),(6574,1),(6658,1),(6679,1),(7554,1),(7584,1)}
4968:{5}:{(4409,1)}
4969:{1,4,5}:{(4273,1),(4400,1),(4457,1),(5441,1),(5470,1),(5565,1),(6671,1)}
4970:{1,4,5,7}:{(4275,1),(4395,1),(4399,1),(4411,1),(5471,1),(5542,1),(5553,1),(5608,1),(6570,1),(6575,1),(7297,1),(8195,1),(8284,1)}
4971:{1,4,5,6}:{(4276,1),(4397,1),(4404,1),(4412,1),(5268,1),(5271,1),(5473,1),(5547,1),(5548,1),(5609,1),(6410,1),(6492,1),(6577,1),(7559,1),(7584,1),(8200,1)}
4972:{1,4,5,7}:{(4277,1),(4397,1),(4406,1),(4413,1),(5472,1),(5546,1),(5547,1),(5610,1),(6576,1),(6699,1),(7584,1),(7691,1)}
4973:{1,4,5}:{(4279,1),(4405,1),(4477,1),(5475,1),(5556,1),(6658,1)}
4974:{1,4,6,7}:{(4284,1),(4398,1),(4401,1),(4478,1),(5476,1),(5542,1),(6570,1)}
4975:{1,4,6}:{(4278,1),(4402,1),(4479,1),(5477,1),(5554,1)}
4976:{1,4,7}:{(4285,1),(4400,1),(4480,1),(5478,1)}
4977:{1,4,6}:{(4282,1),(4407,1),(4501,1),(5287,1),(5479,1),(6262,1),(6287,1),(6288,1),(7586,1),(7592,1),(9254,1)}
4978:{1,4,7}:{(4283,1),(4404,1),(4502,1),(5288,1),(5482,1),(6508,1),(6570,1)}
4979:{1,4,6,7}:{(4286,1),(4403,1),(4406,1),(4503,1),(5283,1),(5480,1),(5547,1),(5549,1),(5553,1),(5557,1),(6422,1),(6428,1),(6512,1),(6570,1),(6575,1),(6656,1),(6658,1),(6659,1),(6660,1),(7586,1),(7592,1),(7642,1),(7646,1),(8284,1),(8301,1),(8448,1)}
4980:{1,4,7}:{(4287,1),(4405,1),(4504,1),(5481,1)}
4981:{4,6}:{(4410,1),(4509,1),(5543,1)}
4982:{1,4,7}:{(4408,1),(4510,1),(4532,1),(4533,1),(5544,1)}
4983:{4,7}:{(4409,1),(4511,1),(5546,1)}
4984:{4}:{(4512,1)}
4985:{1,4}:{(4513,1),(4534,1),(4536,1),(5486,1)}
4986:{1,5,6}:{(4290,1),(4413,1),(4415,1),(5547,1),(7504,1),(7584,1)}
4987:{1,5,7}:{(4291,1),(4412,1),(4429,1),(7294,1)}
4988:{1,5,7}:{(4292,1),(4391,1),(4433,1),(5561,1),(5562,1),(6662,1),(6679,1),(7584,1)}
4989:{1,5,6}:{(4293,1),(4411,1),(4424,1),(5562,1),(5565,1),(6679,1)}
4990:{1,6,7}:{(4294,1),(4415,1),(4416,1)}
4991:{1,5}:{(4295,1),(4435,1),(9339,1)}
4992:{1,5,7}:{(4296,1),(4434,1),(4555,1),(4556,1),(5563,1),(5679,1)}
4993:{1,4,5}:{(4297,1),(4430,1),(4555,1),(4556,1),(5568,1),(5591,1),(5631,1),(5682,1),(5683,1),(6752,1)}
4994:{1,4,6,7}:{(4280,1),(4418,1),(4419,1),(4436,1),(5303,1),(5314,1),(5626,1),(6570,1),(8312,1)}
4995:{1,4,5,7}:{(4281,1),(4414,1),(4418,1),(4421,1),(5302,1),(5319,1),(5554,1),(5627,1),(6508,1),(7294,1)}
4996:{1,4,5}:{(4298,1),(4431,1),(4437,1),(5440,1),(5556,1),(5562,1),(5628,1),(6658,1),(7348,1)}
4997:{1,4,6}:{(4299,1),(4423,1),(4438,1),(5573,1),(5629,1)}
4998:{1,4,5,7}:{(4300,1),(4423,1),(4432,1),(4439,1),(5297,1),(5562,1),(5572,1),(5573,1),(5579,1),(5630,1),(6438,1),(6531,1),(6658,1),(6662,1),(6663,1),(7524,1),(7542,1),(7642,1),(7643,1),(8169,1)}
4999:{1,4,6}:{(4301,1),(4415,1),(4428,1),(5381,1),(5561,1),(5587,1),(8353,1)}
5000:{1,4,6,7}:{(4302,1),(4424,1),(4426,1),(4481,1),(5547,1),(5575,1),(5588,1),(5632,1),(6438,1),(7492,1),(7502,1)}
5001:{1,4,6}:{(4303,1),(4425,1),(4482,1),(5565,1),(5575,1),(5589,1),(5633,1),(6671,1)}
5002:{1,4,5,7}:{(4304,1),(4401,1),(4416,1),(4427,1),(5387,1),(5542,1),(5573,1),(5574,1),(5590,1),(6438,1),(6469,1),(6570,1),(6663,1),(7464,1),(7492,1),(7642,1)}
5003:{1,4,6}:{(4305,1),(4432,1),(4505,1),(5562,1),(5634,1),(6658,1)}
5004:{1,4,6}:{(4306,1),(4430,1),(4507,1),(5569,1),(5577,1),(5593,1),(5635,1)}
5005:{1,4,7}:{(4307,1),(4431,1),(4508,1),(5636,1),(6570,1),(8126,1)}
5006:{1,4,6,7}:{(4309,1),(4434,1),(4435,1),(4506,1),(5304,1),(5307,1),(5563,1),(5566,1),(5577,1),(5658,1),(5679,1),(6666,1),(6674,1),(6676,1),(6756,1),(7703,1)}
5007:{1,4}:{(4310,1),(4514,1)}
5008:{1,3,5,7}:{(4311,1),(4411,1),(4447,1),(5471,1),(5553,1),(5583,1),(8195,1),(8841,1)}
5009:{1,3,5,6}:{(4312,1),(4412,1),(4437,1),(4452,1),(5467,1),(5473,1),(5564,1),(5570,1),(5581,1),(5584,1),(6309,1),(6434,1),(6662,1),(6677,1),(6752,1),(7263,1),(7360,1),(7473,1),(7559,1),(7584,1),(7602,1),(7606,1),(7647,1),(7703,1),(8197,1),(8200,1),(8422,1),(8450,1),(8929,1),(8932,2),(9276,1)}
5010:{1,3,5,7}:{(4313,1),(4413,1),(4437,1),(4454,1),(5472,1),(5562,1),(5566,1),(5571,1),(5582,1),(6447,1),(6662,1),(6663,1),(7422,1),(7473,1),(7584,1),(7602,1),(7691,1),(8450,1)}
5011:{1,3,6}:{(4314,1),(4415,1),(4439,1),(5563,1),(5572,1),(7606,1),(7703,1),(8353,1)}
5012:{1,3,5,7}:{(4315,1),(4416,1),(4438,1),(4448,1),(5573,1),(5585,1),(5679,1),(5680,1),(6438,1),(6663,1),(6689,1)}
5013:{1,3,5,7}:{(4414,1),(4442,1),(4443,1),(4540,1),(4542,1),(5317,1),(5544,1),(5679,1),(5680,1),(6315,1),(6371,1),(6408,1),(6409,1),(6663,1),(6689,1),(7366,1),(7648,1),(8197,1),(8323,1),(8932,1)}
5014:{3,5,7}:{(4417,1),(4440,1),(4441,1),(5321,1),(5478,1),(6322,1),(6324,1),(8846,1)}
5015:{3,4,6,7}:{(4420,1),(4440,1),(4444,1),(4445,1),(5313,1),(5322,1),(5323,1),(5557,1),(5647,1),(6512,1),(7278,1),(7372,1),(7375,1),(7586,1),(7601,1),(8219,1),(9341,1)}
5016:{3,5,7}:{(4422,1),(4445,1),(4446,1),(5318,1),(5320,1),(5481,1),(5546,1)}
5017:{1,3,6}:{(4322,1),(4424,1),(4450,1),(6602,1),(7313,1),(9544,1)}
5018:{1,3,5,7}:{(4323,1),(4426,1),(4449,1),(5471,1),(5472,1),(5588,1),(5594,1),(7416,1),(7577,1),(7691,1),(8195,1)}
5019:{1,3,5,6}:{(4324,1),(4427,1),(4451,1),(5467,1),(5473,1),(5587,1),(5590,1),(5595,1),(6311,1),(6457,1),(7559,1),(7606,1)}
5020:{1,3}:{(4325,1),(4425,1),(7490,1)}
5021:{1,3,5,7}:{(4326,1),(4428,1),(4451,1),(4455,1),(5472,1),(5587,1),(6317,1),(6320,1),(7691,1)}
5022:{1,3,4,6,7}:{(4321,1),(4429,1),(4448,1),(4452,1),(5476,1),(5482,1),(5573,1),(5584,1),(5585,1),(5597,1),(5652,1),(5678,1),(5679,1),(6328,1),(6440,1),(6570,1),(6596,1),(6661,1),(6668,1),(6675,1),(6677,1),(6689,1),(6756,1),(7281,1),(7579,1),(7591,1),(7607,1),(7662,1),(7666,1),(7703,1),(8323,1),(8392,1),(8454,1)}
5023:{1,3,4,6}:{(4327,1),(4431,1),(4449,1),(4453,1),(5460,1),(5586,1),(5593,1),(5594,1),(5598,1),(5653,1),(6744,1),(7358,1),(8178,1),(8233,1)}
5024:{1,3}:{(4328,1),(4430,1)}
5025:{1,3,4,7}:{(4329,1),(4432,1),(4450,1),(4453,1),(5324,1),(5325,1),(5553,1),(5592,1),(5599,1),(5654,1),(6557,1),(6601,1),(6671,1),(8841,1),(9324,1)}
5026:{1,3,4,5}:{(4330,1),(4423,1),(4451,1),(4453,1),(5328,1),(5329,1),(5440,1),(5591,1),(5595,1),(5656,1),(6298,1),(6564,1)}
5027:{1,3,4,6,7}:{(4331,1),(4433,1),(4447,1),(4455,1),(5429,1),(5476,1),(5480,1),(5553,1),(5580,1),(5587,1),(5592,1),(6328,1),(6428,1),(6465,1),(6570,1),(6656,1),(7583,1),(8338,1),(8841,1),(8953,1)}
5028:{1,3,4,6}:{(4308,1),(4408,1),(4456,1),(4519,1),(5197,1),(5198,1),(5578,1),(5581,1),(5597,1),(6677,1),(7300,1),(7606,1),(8169,1),(8234,1),(8830,1),(8887,1),(9523,1)}
5029:{1,4}:{(4332,1),(4520,1),(5441,1)}
5030:{1,2,5,6}:{(4333,1),(4392,1),(4460,1),(4464,1),(5334,1),(5432,1),(5487,1),(5489,1),(5520,1),(6474,1),(6612,1),(6662,1),(6715,1),(7584,1),(7668,1),(8197,1),(8239,1)}
5031:{1,2,5,6,7}:{(4334,1),(4393,1),(4458,1),(4463,1),(4558,1),(4559,1),(5212,1),(5214,1),(5526,1),(5604,1),(6273,1),(6335,1),(6607,1),(6695,1),(6700,1),(7287,1),(7376,1),(7387,1),(7522,1),(7648,1),(7703,1),(8237,1),(8239,1),(8354,1),(8815,1)}
5032:{1,2,5,7}:{(4335,1),(4394,1),(4459,1),(4466,1),(5490,1),(5521,1),(5673,1),(6335,1),(7387,1),(7610,1),(8197,1),(9292,1)}
5033:{1,2,5,6}:{(4336,1),(4395,1),(4457,1),(4467,1),(5332,1),(5495,1),(5522,1),(5543,1),(5602,1),(5608,1),(6477,1),(6612,1),(6651,1),(6679,1),(6716,1),(7584,1),(7658,1),(7670,1),(8207,1)}
5034:{1,2,4,6}:{(4271,1),(4458,1),(4462,1),(5216,1),(5218,1),(5276,1),(5278,1),(5446,1),(5523,1),(5563,1),(6523,1),(6525,1),(6676,1),(6746,1),(7459,1),(7703,1)}
5035:{1,2,4,5,6}:{(4272,1),(4459,1),(4461,1),(4561,1),(4562,1),(5443,1),(5492,1),(5524,1),(5551,1),(5564,1),(5605,1),(5663,1),(5664,1),(6490,1),(6673,1),(6707,1),(6712,1),(6746,1),(6752,1),(7459,1),(7501,1),(7703,1),(8197,1),(8797,1),(8932,1),(9292,1),(9570,1)}
5036:{1,2,4,5,7}:{(4274,1),(4460,1),(4461,1),(4474,1),(5208,1),(5211,1),(5273,1),(5275,1),(5444,1),(5494,1),(5525,1),(5552,1),(5566,1),(5606,1),(6302,1),(6335,1),(6336,1),(6346,1),(6349,1),(6414,1),(6415,1),(6496,1),(6519,1),(6521,1),(6658,1),(6674,1),(6708,1),(6714,1),(7338,1),(7354,1),(7385,1),(7387,1),(7406,1),(7521,1),(7522,1),(7532,1),(7535,1),(7537,1),(7642,1),(8256,1),(8258,1),(8298,1),(8359,1),(8360,1),(8380,1),(8868,1),(9020,1),(9322,1),(9339,1),(9557,1)}
5037:{1,2,5}:{(4337,1),(4397,1),(4470,1),(5527,1),(5603,1),(7584,1)}
5038:{1,2,4,6,7}:{(4338,1),(4396,1),(4463,1),(4464,1),(4465,1),(5336,1),(5445,1),(5496,1),(5528,1),(5601,1),(5625,1),(5660,1),(5662,1),(6410,1),(6413,1),(6573,1),(6607,1),(6655,1),(6675,1),(6700,1),(6719,1),(6746,1),(7379,1),(7387,1),(7501,1),(7591,1),(7612,1),(7642,1),(7683,1),(7703,1),(8237,1),(8239,1),(8353,1),(8447,1)}
5039:{1,2,4,6,7}:{(4345,1),(4399,1),(4467,1),(4468,1),(4483,1),(5337,1),(5531,1),(5557,1),(5608,1),(5612,1),(5632,1),(6502,1),(6575,1),(6692,1),(7386,1),(7574,1),(8284,1)}
5040:{1,2,4,6}:{(4346,1),(4400,1),(4469,1),(4484,1),(5277,1),(5279,1),(5532,1),(5558,1),(5612,1),(5633,1),(6255,1),(6259,1),(6693,1),(7308,1),(7310,1),(8170,1)}
5041:{1,2,4,6}:{(4347,1),(4403,1),(4471,1),(4488,1),(5495,1),(5533,1),(5602,1),(5619,1),(5634,1),(6349,1),(6574,1),(6612,1),(6616,1),(6658,1),(6716,1),(7532,1),(7673,1)}
5042:{1,2,4,6}:{(4342,1),(4404,1),(4473,1),(4489,1),(5351,1),(5536,1),(5609,1),(5614,1),(5629,1),(6577,1),(6612,1)}
5043:{1,2,4,6}:{(4348,1),(4405,1),(4472,1),(4491,1),(5534,1),(5611,1),(5617,1),(5621,1),(5635,1),(6744,1),(8146,1),(8171,1)}
5044:{1,2,4,7}:{(4349,1),(4406,1),(4470,1),(4490,1),(5535,1),(5610,1),(5620,1),(5636,1),(6576,1)}
5045:{1,2,4,5,7}:{(4343,1),(4407,1),(4471,1),(4473,1),(4492,1),(5344,1),(5357,1),(5358,1),(5537,1),(5602,1),(5610,1),(5613,1),(5614,1),(5630,1),(6347,1),(6349,1),(6475,1),(6478,1),(6498,1),(6574,1),(6576,1),(6658,1),(6697,1),(6704,1),(6708,1),(7296,1),(7323,1),(7325,1),(7380,1),(7384,1),(7385,1),(7532,1),(7533,1),(7584,1),(7588,1),(7611,1),(7617,1),(7642,1),(7643,1),(7668,1),(7673,1),(8138,1),(8243,1),(8347,1),(8348,1),(8358,1),(8360,1),(8361,1),(8419,1),(8428,1),(8463,1),(8861,1)}
5046:{1,2,4,5}:{(4344,1),(4402,1),(4472,1),(4493,1),(5360,1),(5362,1),(5538,1),(5616,1),(5631,1),(6564,1)}
5047:{1,2,4,6}:{(4408,1),(4476,1),(4515,1),(4543,1),(4545,1),(5284,1),(5286,1),(5559,1),(5600,1),(6676,1),(8818,1),(8830,1)}
5048:{2,4,6}:{(4409,1),(4475,1),(4516,1),(5603,1),(5620,1),(5621,1),(6696,1),(7406,1),(8146,1)}
5049:{2,4,7}:{(4410,1),(4475,1),(4517,1),(5354,1),(5355,1),(5619,1),(6574,1),(6576,1)}
5050:{4}:{(4518,1)}
5051:{1,2,5,7}:{(4353,1),(4411,1),(4457,1),(4497,1),(5367,1),(5550,1),(5565,1),(5624,1),(6518,1),(6679,1),(7555,1),(7660,1),(7670,1),(8207,1),(8901,1)}
5052:{1,2,5,6}:{(4352,1),(4412,1),(4477,1),(4498,1),(5334,1),(5551,1),(5564,1),(5600,1),(5623,1),(6434,1),(6437,1),(6662,1),(6752,1),(7527,1),(7559,1),(7584,1),(7647,1),(7668,1),(7703,1),(8197,1),(8200,1),(8450,1),(8929,1),(8932,2),(9292,1)}
5053:{1,2,5,7}:{(4354,1),(4413,1),(4477,1),(4500,1),(5365,1),(5552,1),(5566,1),(5622,1),(6521,1),(6662,1),(7527,1),(7584,1),(7668,1),(7691,1),(8450,1)}
5054:{1,2,5,7}:{(4351,1),(4414,1),(4479,1),(4487,1),(5554,1),(5679,1),(5680,1),(6720,1)}
5055:{1,5,7}:{(4355,1),(4482,1),(5565,1),(5575,1)}
5056:{1,2,5,7}:{(4356,1),(4417,1),(4483,1),(4484,1),(5379,1),(5612,1),(5644,1),(6275,1),(6281,1),(7295,1),(7386,1),(7660,1),(9515,1)}
5057:{1,2,6}:{(4357,1),(4415,1),(4486,1),(5382,1),(5563,1),(7703,1)}
5058:{1,2,5,7}:{(4358,1),(4416,1),(4485,1),(4494,1),(5385,1),(5544,1),(5625,1),(5679,1),(5680,1),(6720,1),(7387,1),(8359,1)}
5059:{1,2,7}:{(4339,1),(4418,1),(4489,1),(5406,1),(7387,1)}
5060:{1,2,6}:{(4340,1),(4419,1),(4492,1),(5411,1),(6612,1),(8237,1)}
5061:{1,2,6,7}:{(4359,1),(4420,1),(4488,1),(4490,1),(5376,1),(5647,1),(7386,1),(7513,1),(7514,1),(8240,1),(8394,1),(9531,1)}
5062:{1,2,5,6}:{(4341,1),(4421,1),(4489,1),(4493,1),(5374,1),(5416,1),(5616,1),(5627,1),(7559,1)}
5063:{1,2,5,7}:{(4360,1),(4422,1),(4490,1),(4491,1),(5378,1),(5617,1),(5648,1),(7577,1),(7691,1),(8184,1)}
5064:{1,2,5}:{(4361,1),(4423,1),(4499,1),(5629,1),(5637,1),(7532,1)}
5065:{1,2,6}:{(4362,1),(4424,1),(4496,1),(5383,1)}
5066:{1,2,5,7}:{(4363,1),(4426,1),(4468,1),(4495,1),(5386,1),(5546,1),(5632,1),(5636,1),(6481,1)}
5067:{1,2,5}:{(4364,1),(4425,1),(5297,1),(5299,1),(5389,1),(5390,1),(5565,1),(5633,1)}
5068:{1,2,4,6,7}:{(4365,1),(4429,1),(4487,1),(4494,1),(4498,1),(5336,1),(5554,1),(5614,1),(5623,1),(5625,1),(5652,1),(5678,1),(5679,1),(6440,1),(6441,1),(6655,1),(6661,1),(6675,1),(6700,1),(6719,1),(6720,1),(6756,1),(7387,1),(7579,1),(7591,1),(7642,1),(7682,1),(7687,1),(7703,1),(8359,1),(8360,1),(8392,1),(8454,1)}
5069:{1,2,6}:{(4366,1),(4431,1),(4499,1),(5495,1),(5628,1),(5636,1),(6612,1),(7532,1),(8146,1)}
5070:{1,2,7}:{(4367,1),(4432,1),(4499,1),(5390,1),(5634,1),(7532,1)}
5071:{1,2}:{(4368,1),(4430,1)}
5072:{1,2,3,5,6,7}:{(4370,1),(4436,1),(4478,1),(4501,1),(4502,1),(5370,1),(5371,1),(5398,1),(5399,1),(5476,1),(5542,1),(5555,1),(5560,1),(5585,1),(5626,1),(6278,1),(6279,1),(6322,1),(6323,1),(6370,1),(6373,1),(6407,1),(6409,1),(6412,1),(6438,1),(6517,1),(6540,1),(6592,1),(6596,1),(6646,1),(6663,1),(6678,1),(6697,1),(6700,1),(6719,1),(7360,1),(7362,1),(7368,1),(7464,1),(7469,1),(7470,1),(7496,1),(7570,1),(7628,1),(7669,1),(7689,1),(8162,1),(8182,1),(8239,1),(8240,1),(8312,1),(8353,1),(8358,1),(8360,1),(8385,1),(8392,1),(8400,1),(8888,1),(8935,1)}
5073:{1,2,3,5}:{(4371,1),(4437,1),(4477,1),(4523,1),(5244,1),(5246,1),(5475,1),(5527,1),(5556,1),(5628,1),(6346,1),(6375,1),(6447,1),(6448,1),(6521,1),(6648,1),(7489,1),(7532,1),(7535,1)}
5074:{1,3,5,6,7}:{(4372,1),(4481,1),(4505,1),(4508,1),(5394,1),(5395,1),(5562,1),(5576,1),(5582,1),(5583,1),(5585,1),(5588,1),(6435,1),(6438,1),(6447,1),(6461,1),(6663,1),(6681,1),(7469,1),(7470,1),(7476,1),(8149,1),(8353,1)}
5075:{1,5,7}:{(4373,1),(4506,1),(4507,1),(5577,1),(5679,1),(7577,1)}
5076:{2,3,6,7}:{(4440,1),(4483,1),(4509,1),(4511,1),(5557,1),(5644,1),(7428,1),(7507,1),(7601,1)}
5077:{2,3,5,6}:{(4441,1),(4484,1),(4509,1),(4512,1),(5412,1),(5532,1),(5543,1),(5558,1),(5644,1),(6377,1),(6487,1),(6593,1),(6651,1),(7428,1),(7507,1),(7601,1),(8207,1)}
5078:{1,2,3,5,6}:{(4442,1),(4479,1),(4513,1),(4515,1),(4550,1),(4551,1),(5417,1),(5477,1),(5559,1),(5600,1),(5643,1),(5685,1),(6380,1),(6400,1),(6594,1),(6695,1),(6710,1),(6752,1),(7260,1),(7427,1),(7545,1),(7557,1),(7600,1),(7606,1),(7703,1),(8154,1),(8197,1),(8391,1),(8932,1)}
5079:{1,2,3,5,6}:{(4378,1),(4438,1),(4485,1),(4514,1),(4519,1),(5420,1),(5578,1),(5581,1),(5629,1),(5645,1),(5646,1),(5685,1),(6380,1),(6522,1),(6553,1),(6662,1),(6677,1),(6710,1),(6718,1),(6752,1),(7300,1),(7427,1),(7524,1),(7545,1),(7557,1),(7606,1),(7647,1),(7683,1),(7703,1),(8197,1),(8353,1),(8391,1),(8932,1),(9278,1),(9523,1)}
5080:{1,2,3,5,7}:{(4379,1),(4439,1),(4486,1),(4514,1),(4524,1),(5426,1),(5579,1),(5630,1),(5645,1),(6561,1),(6662,1),(7545,1)}
5081:{1,2,3,6,7}:{(4443,1),(4487,1),(4510,1),(4515,1),(4552,1),(4553,1),(5404,1),(5405,1),(5618,1),(5643,1),(6273,1),(6402,1),(6719,1),(6720,1),(7283,1),(7387,1),(7427,1),(7576,1),(7600,1),(7703,1),(8359,1),(8360,1),(8391,1),(8854,1)}
5082:{2,3,6}:{(4444,1),(4488,1),(4517,1),(5410,1),(5619,1),(6696,1)}
5083:{2,3,7}:{(4445,1),(4490,1),(4516,1),(5407,1),(5620,1)}
5084:{2,3,5,6}:{(4446,1),(4491,1),(4516,1),(4518,1),(5415,1),(5419,1),(5527,1),(5534,1),(5603,1),(5621,1),(5648,1),(6375,1),(6398,1),(6486,1),(6637,1),(6638,1),(6696,1),(7253,1),(7504,1),(7584,1),(7627,1),(8146,1)}
5085:{1,2,3,7}:{(4377,1),(4448,1),(4494,1),(4519,1),(5257,1),(5259,1),(5597,1),(6402,1),(6689,1),(8323,1),(8854,1),(8918,1)}
5086:{1,2,3,5,6}:{(4384,1),(4449,1),(4495,1),(4520,1),(5421,1),(5474,1),(5522,1),(5527,1),(5598,1),(5649,1),(5650,1),(5653,1),(6381,1),(6551,1),(6595,1),(6638,1),(6679,1),(6727,1),(6736,1),(7546,1),(7584,1),(7658,1),(7695,1),(8233,1)}
5087:{1,2,3,5,7}:{(4385,1),(4450,1),(4496,1),(4520,1),(4521,1),(5424,1),(5599,1),(5649,1),(5651,1),(5654,1),(6558,1),(6679,1),(6727,1),(6737,1),(7660,1)}
5088:{1,2,3,6,7}:{(4386,1),(4447,1),(4497,1),(4521,1),(5430,1),(5478,1),(5531,1),(5589,1),(5638,1),(5649,1),(6386,1),(6545,1),(6602,1),(6737,1),(7386,1),(7428,1),(7490,1),(7514,1),(7574,1),(7633,1),(8271,1),(8357,1),(8846,1),(9544,1)}
5089:{1,2,3,6}:{(4383,1),(4452,1),(4498,1),(4522,1),(5252,1),(5253,1),(5477,1),(5536,1),(5629,1),(6384,1),(6454,1),(6455,1),(6523,1),(6598,1),(6612,1),(6638,1),(6677,1),(6715,1),(7424,1),(7427,1),(7600,1),(7606,1),(7632,1),(7683,1),(7703,1),(8239,1),(8440,1),(8945,1),(8970,1),(9307,1)}
5090:{1,2,3}:{(4387,1),(4453,1),(4499,1),(5495,1),(5659,1),(6628,1)}
5091:{1,2,3,6,7}:{(4388,1),(4454,1),(4500,1),(4523,1),(4524,1),(5428,1),(5481,1),(5535,1),(5634,1),(5636,1),(5640,1),(5645,1),(6387,1),(6598,1),(6638,1),(6715,1),(6719,1),(6741,1),(7314,1),(7489,1),(7532,1),(7632,1),(7693,1),(7701,1),(8323,1),(8360,1)}
5092:{1,2,3,7}:{(4389,1),(4434,1),(4564,1),(4565,1),(5325,1),(5327,1),(5388,1),(5391,1),(6689,1),(6720,1)}
5093:{1,2,3,6}:{(4390,1),(4435,1),(4564,1),(4566,1),(5593,1),(5635,1),(5641,1),(8873,1)}
5094:{1,2,3,4,7}:{(4369,1),(4456,1),(4476,1),(4522,1),(5200,1),(5203,1),(5264,1),(5267,1),(5486,1),(5556,1),(5579,1),(5597,1),(5637,1),(5657,1),(5682,1),(6243,1),(6249,1),(6346,1),(6349,1),(6402,1),(6404,1),(6470,1),(6471,1),(6530,1),(6561,1),(6562,1),(6565,1),(6576,1),(6604,1),(6605,1),(6648,1),(6661,1),(6708,1),(6724,1),(6756,1),(7327,1),(7385,1),(7387,1),(7489,1),(7532,1),(7535,1),(7576,1),(7634,1),(7655,1),(8176,1),(8234,1),(8275,1),(8307,2),(8323,1),(8359,1),(8360,1),(8414,1),(8419,1),(8839,1),(8853,1),(8877,1),(9523,1),(9570,1)}
5095:{5,7}:{(4526,1),(4532,1),(5660,1)}
5096:{3,5,7}:{(4527,1),(4533,1),(5434,1),(5544,1),(5661,1)}
5097:{1,4,5,7}:{(4525,1),(4531,1),(5448,1),(5662,1),(5674,1),(6569,1)}
5098:{4,6}:{(4534,1),(4550,1),(5664,1),(5666,1)}
5099:{4,6}:{(4536,1),(4551,1),(5665,1),(5667,1),(7322,1),(8419,1)}
5100:{1,2,4,6}:{(4535,1),(4549,1),(5443,1),(5663,1),(5671,1),(6615,1),(6659,1),(6673,1),(7403,1),(7459,1),(7518,1),(8138,1),(8176,1),(8419,1),(9570,1)}
5101:{3,5,7}:{(4528,1),(4539,1),(5450,1),(5455,1),(5680,1)}
5102:{3,7}:{(4530,1),(4538,1),(5679,1)}
5103:{3,4,6,7}:{(4529,1),(4537,1),(5451,1),(5676,1),(5678,1),(6587,1),(8221,1)}
5104:{3,4}:{(4534,1),(4546,1),(5682,1)}
5105:{2,3,4,7}:{(4535,1),(4547,1),(5463,1),(5671,1),(6587,1),(6604,1),(6648,1),(7489,1),(7634,1),(8323,1)}
5106:{3,4}:{(4536,1),(4548,1),(5683,1),(6302,1),(7489,1)}
5107:{2,5}:{(4526,1),(4543,1),(5432,1),(5664,1),(8197,1)}
5108:{1,2,5}:{(4525,1),(4544,1),(5503,1),(6662,1),(6752,1),(8197,1),(8932,1)}
5109:{2,3,5}:{(4527,1),(4545,1),(5432,1),(5488,1),(5600,1),(5665,1),(6307,1),(6309,1),(6340,1),(6580,1),(6594,1),(7380,1),(7383,1),(7584,1),(8197,2),(8793,1),(8889,1)}
5110:{2,3,4,6,7}:{(4533,1),(4545,1),(4552,1),(5445,1),(5500,1),(5618,1),(5661,1),(5667,1),(5672,1),(6326,1),(6328,1),(6352,1),(6402,1),(6404,1),(6589,1),(6605,1),(6607,1),(6633,1),(6748,1),(7283,1),(7327,1),(7385,1),(7387,1),(7424,1),(7427,1),(7591,1),(7600,1),(7619,1),(8128,1),(8221,1),(8237,1),(8239,1),(8241,1),(8818,1)}
5111:{1,2,4,6,7}:{(4531,1),(4544,1),(4554,1),(5516,1),(5662,1),(5674,1),(6675,1),(6724,1),(6756,1),(7683,1),(7703,1)}
5112:{2,4,6,7}:{(4532,1),(4543,1),(4553,1),(5445,1),(5500,1),(5660,1),(5666,1),(5673,1),(6607,1),(6746,1)}
5113:{2,3,6}:{(4537,1),(4547,1),(4561,1),(6598,1)}
5114:{2,3,6}:{(4538,1),(4546,1),(4562,1),(5477,1),(5669,1),(5677,1)}
5115:{2,3,5,6}:{(4539,1),(4548,1),(4563,1),(5477,1),(5511,1),(5523,1),(5670,1),(5675,1),(6310,1),(6313,1),(6400,1),(6580,1),(6594,1),(6621,1),(7258,1),(7260,1),(7398,1),(7399,1),(7593,1),(7600,1),(7606,1),(7619,1),(8325,1),(8877,1),(8945,1),(9276,1),(9307,1)}
5116:{2,3,5,7}:{(4540,1),(4550,1),(4553,1),(4559,1),(5666,1),(5673,1),(5677,1),(6749,1)}
5117:{2,3,5,7}:{(4542,1),(4551,1),(4552,1),(4558,1),(5667,1),(6371,1),(7387,1)}
5118:{1,2,3,5,6,7}:{(4541,1),(4549,1),(4554,1),(4560,1),(5521,1),(5668,1),(5674,1),(5676,1),(6618,1),(6626,1),(6717,1),(6729,1),(6751,1),(7387,1),(7395,1),(7427,1),(7522,1),(7564,1),(7610,1),(7634,1),(7682,1),(7683,1),(7703,1),(7705,1),(8154,1),(8194,1),(8197,1),(8237,1),(8239,1),(8246,1),(8323,1),(8354,1),(8359,1),(8360,1),(8391,1),(8436,1),(8440,1),(8460,1),(8466,1),(8472,1),(8932,1),(8945,1),(8970,2),(8971,1),(9292,1),(9307,1)}
5119:{1,6}:{(4538,1),(4555,1),(5679,1)}
5120:{1,4,6}:{(4537,1),(4557,1),(5564,1),(5684,1),(7703,1),(9400,1)}
5121:{1,5,6}:{(4539,1),(4556,1),(5563,1),(5568,1),(5680,1),(6752,1),(7703,1)}
5122:{1,2,4,5,7}:{(4528,1),(4558,1),(4563,1),(5497,1),(5554,1),(5604,1),(5667,1),(5675,1),(5680,1),(6335,1),(6336,1),(6414,1),(6415,1),(6509,1),(6567,1),(6609,1),(6652,1),(6720,1),(6755,1),(7287,1),(7338,1),(7385,1),(7387,1),(7521,1),(7522,1),(7642,1),(7648,1),(7680,1),(8128,1),(8256,1),(8291,1),(8359,1),(8360,1),(8853,1)}
5123:{1,2,4,6,7}:{(4529,1),(4560,1),(4561,1),(5605,1),(5676,1),(5678,1),(6611,1),(6655,1),(6746,1),(7501,1),(7682,1),(7703,1)}
5124:{1,2,4,7}:{(4530,1),(4559,1),(4562,1),(5497,1),(5554,1),(5666,1),(5677,1),(5679,1),(6720,1),(6756,1)}
5125:{1,2,3,5}:{(4548,1),(4556,1),(4565,1),(5591,1),(5631,1),(5683,1),(6447,1),(6448,1),(6519,1),(6521,1),(6565,1),(7488,1),(7489,1),(7532,1),(7535,1)}
5126:{1,2,3,5,7}:{(4547,1),(4557,1),(4566,1),(5641,1),(5681,1),(5684,1),(6684,1),(6714,1),(6753,1),(9008,1)}
5127:{1,2,3,5}:{(4546,1),(4555,1),(4564,1),(5591,1),(5631,1),(5682,1),(5685,1),(6565,1),(6752,1)}
5128:{1,6}:{(4571,1),(4626,1),(5699,1)}
5129:{1,5,6}:{(4575,1),(4625,1),(4744,1),(5701,1),(5861,1),(5894,1),(9072,1)}
5130:{3,5,6}:{(4574,1),(4722,1),(4745,1),(5770,1),(5862,1),(6039,1),(6106,1),(6864,1),(8754,1)}
5131:{1,4,5,6}:{(4579,1),(4623,1),(4737,1),(4744,1),(5727,1),(5861,1),(5885,1),(5892,1),(6122,1),(6131,1),(6775,1),(7164,1),(7168,1),(7173,1),(7721,1),(7912,1),(7920,1)}
5132:{1,4,6}:{(4570,1),(4624,1),(4735,1),(5729,1),(6013,1),(7788,1)}
5133:{1,3,4,5,6}:{(4568,1),(4623,1),(4722,1),(4735,1),(4746,1),(5719,1),(5770,1),(5860,1),(5883,1),(5892,1),(6013,1),(6038,1),(6039,1),(6122,1),(6131,1),(6760,1),(6777,1),(6823,1),(6841,1),(6860,1),(6866,1),(6966,1),(6975,1),(6989,1),(6991,1),(7010,1),(7100,1),(7102,1),(7122,1),(7125,1),(7164,1),(7168,1),(7173,1),(7178,1),(7188,1),(7189,1),(7710,1),(7765,1),(7766,1),(7788,1),(7816,1),(7827,1),(7884,1),(7902,1),(7912,1),(7920,1),(7922,1),(7953,1),(7954,1),(7957,1),(8028,1),(8032,1),(8041,1),(8042,1),(8070,1),(8075,1),(8080,1),(8106,1),(8530,1),(8537,1),(8538,1),(8589,1),(8643,1),(8645,1),(8654,1),(8683,1),(8753,1),(8754,1),(8773,1),(9175,1)}
5134:{3,4,6}:{(4578,1),(4721,1),(4738,1),(5700,1),(5722,1),(5768,1),(5886,1)}
5135:{5,6}:{(4576,1),(4743,1),(6106,1)}
5136:{4,6}:{(4572,1),(4736,1),(5691,1),(5730,1)}
5137:{1,3,5,6}:{(4573,1),(4625,1),(4719,1),(4746,1),(5692,1),(5769,1),(5860,1),(5894,1),(6038,1),(6122,1),(6954,1),(6989,1),(8643,1),(9069,1)}
5138:{4,5,6}:{(4582,1),(4738,1),(4743,1),(5697,1),(5726,1),(5859,1),(5886,1),(7711,1),(8487,1)}
5139:{1,3,4,6}:{(4567,1),(4624,1),(4720,1),(4737,1),(5731,1),(5767,1),(5885,1),(5891,1),(6039,1),(6131,1),(6762,1),(7102,1),(7125,1),(7189,1),(7720,1),(7954,1),(8075,1),(8106,1),(8534,1),(8655,1)}
5140:{3,4,5,6}:{(4569,1),(4719,1),(4736,1),(4745,1),(5702,1),(5723,1),(5769,1),(5862,1),(5884,1),(6013,1),(6038,1),(6764,1),(6788,1),(6822,1),(6838,1),(6858,1),(7100,1),(7828,1)}
5141:{3,6}:{(4580,1),(4720,1),(6106,1)}
5142:{1,3,6}:{(4577,1),(4626,1),(4721,1),(5696,1),(5768,1),(5893,1)}
5143:{6}:{(4581,1)}
5144:{2,5,7}:{(4576,1),(4587,1),(4838,1),(5713,1),(5724,1),(6163,1),(7030,1)}
5145:{1,2,3,5,7}:{(4568,1),(4589,1),(4686,1),(4790,1),(4836,1),(5715,1),(5719,1),(5841,1),(5961,1),(6061,1),(6085,1),(6091,1),(6180,1),(6185,1),(6819,1),(6903,1),(6935,1),(7039,1),(7046,1),(7063,1),(7124,1),(7131,1),(7148,1),(7156,1),(7160,1),(7213,1),(7220,1),(7837,1),(7848,1),(7853,1),(8018,1),(8025,1),(8040,1),(8054,1),(8059,1),(8100,1),(8713,1),(8765,1),(9049,1)}
5146:{1,2,5,7}:{(4570,1),(4597,1),(4685,1),(4837,1),(5705,1),(5729,1),(6061,1),(6786,1),(7039,1),(7131,1),(7837,1),(7964,1),(8545,1)}
5147:{1,2,3,5,7}:{(4567,1),(4590,1),(4685,1),(4789,1),(4836,1),(5708,1),(5731,1),(5839,1),(5959,1),(6091,1),(6185,1),(6785,1),(6808,1),(7160,1),(7769,1),(8021,1),(8054,1),(8712,1),(8725,1)}
5148:{1,2,5,7}:{(4579,1),(4591,1),(4686,1),(4837,1),(5703,1),(5727,1),(6180,1),(7869,1),(8506,1)}
5149:{2,5,7}:{(4581,1),(4592,1),(4838,1),(5709,1),(5733,1),(7869,1),(8505,1)}
5150:{2,3,5,7}:{(4580,1),(4595,1),(4789,1),(4835,1),(5718,1),(5732,1),(6164,1),(7150,1)}
5151:{1,2,5}:{(4571,1),(4585,1),(4684,1),(5710,1),(5720,1),(6781,1),(9050,1)}
5152:{2,3,5,7}:{(4574,1),(4588,1),(4790,1),(4835,1),(5717,1),(5734,1),(6085,1),(6163,1),(6164,1),(6914,1),(6922,1),(7020,1),(7030,1),(7150,1),(7722,1),(8026,1),(8032,1),(8054,1),(8609,1)}
5153:{1,2,3,5}:{(4577,1),(4584,1),(4684,1),(4788,1),(5704,1),(5725,1),(5840,1),(5960,1),(6783,1),(6820,1),(7755,1),(8548,1)}
5154:{1,2,5}:{(4575,1),(4596,1),(4683,1),(5707,1)}
5155:{2,5}:{(4582,1),(4594,1)}
5156:{2,3,5}:{(4569,1),(4586,1),(4787,1),(5711,1),(6061,1),(6163,1),(7132,1)}
5157:{1,2,3,5}:{(4573,1),(4583,1),(4683,1),(4787,1),(5712,1),(5842,1),(5962,1),(6085,1),(6180,1),(6817,1),(7124,1),(9045,1)}
5158:{2,3,5}:{(4578,1),(4598,1),(4788,1),(5716,1),(5722,1)}
5159:{2,5}:{(4572,1),(4593,1),(5730,1)}
5160:{4,5,6}:{(4602,1),(4604,1),(4635,1),(5738,1),(5747,1),(5789,1),(6009,1),(6776,1),(6844,1),(9506,1)}
5161:{4,5,6}:{(4600,1),(4606,1),(4638,1),(5737,1),(5739,1),(5748,1),(8028,1)}
5162:{4,5,6}:{(4601,1),(4605,1),(4636,1),(5735,1),(5742,1),(5750,1),(5788,1),(6845,1),(9186,1)}
5163:{4,5,6}:{(4599,1),(4603,1),(4637,1),(5736,1),(5749,1),(6009,1)}
5164:{4,6,7}:{(4604,1),(4657,1),(4856,1),(5738,1),(6829,1),(7806,1)}
5165:{4,7}:{(4605,1),(4658,1),(5752,1)}
5166:{4,7}:{(4606,1),(4656,1),(5754,1)}
5167:{4,6,7}:{(4603,1),(4655,1),(4856,1),(5736,1),(6828,1),(7098,1)}
5168:{4,5,7}:{(4602,1),(4612,1),(4659,1),(5741,1),(5745,1),(5792,1),(6829,1),(7030,1)}
5169:{4,5,7}:{(4599,1),(4611,1),(4660,1),(5740,1),(5744,1),(6014,1),(6828,1),(7098,1),(7101,1),(7103,1)}
5170:{4,5,7}:{(4600,1),(4613,1),(4662,1),(5739,1),(5743,1),(6014,1),(6826,1),(7098,1),(7099,1),(7103,1),(8028,1)}
5171:{4,5,7}:{(4601,1),(4614,1),(4661,1),(5742,1),(5746,1),(5791,1),(6827,1),(6881,1),(9186,1),(9425,1)}
5172:{3,5}:{(4601,1),(4620,1),(5887,1)}
5173:{3,5}:{(4600,1),(4622,1),(5890,1)}
5174:{3,5}:{(4602,1),(4621,1),(5888,1)}
5175:{3,5}:{(4599,1),(4619,1),(5889,1)}
5176:{3,4,6}:{(4604,1),(4618,1),(4870,1),(5747,1),(5767,1),(5811,1),(5891,1),(6844,1),(7248,1),(7954,1)}
5177:{3,4,6}:{(4603,1),(4616,1),(4870,1),(5749,1),(5770,1),(5814,1),(5892,1),(7248,1)}
5178:{3,6}:{(4606,1),(4617,1),(5754,1),(5894,1)}
5179:{3,6}:{(4605,1),(4615,1),(5752,1),(5893,1)}
5180:{3,4,6,7}:{(4612,1),(4621,1),(4679,1),(4884,1),(5757,1),(5771,1),(5817,1),(5898,1),(6026,1),(7717,1),(8483,1),(8529,1),(9080,1),(9123,1),(9465,1)}
5181:{3,4,6,7}:{(4611,1),(4619,1),(4681,1),(4884,1),(5756,1),(5774,1),(5816,1),(5895,1),(6026,1),(7718,1),(8480,1),(9087,1),(9472,1)}
5182:{3,4,7}:{(4614,1),(4620,1),(4680,1),(5752,1),(5818,1),(5897,1),(6030,1),(7715,1),(8527,1)}
5183:{3,4,7}:{(4613,1),(4622,1),(4682,1),(5754,1),(5815,1),(5896,1),(6030,1),(7720,1)}
5184:{3,7}:{(4610,1),(4626,1),(5699,1)}
5185:{3,5,7}:{(4609,1),(4625,1),(4895,1),(5701,1),(5754,1),(6007,1)}
5186:{3,4,5,6,7}:{(4607,1),(4623,1),(4893,1),(4895,1),(4896,1),(5695,1),(5753,1),(5828,1),(6007,1),(6008,1),(6018,1),(6022,1),(6028,1),(6829,1),(6852,1),(6863,1),(6874,1),(6880,1),(7094,1),(7095,1),(7098,1),(7106,1),(7107,1),(7246,1),(7248,1),(7729,1),(7787,2),(7788,1),(7792,1),(7796,1),(7801,1),(7803,1),(7824,1),(7842,1),(8026,1),(8029,1),(8037,1),(8040,1),(8479,1),(8489,1),(8575,1),(8580,1),(8591,1),(8750,1),(8752,1)}
5187:{3,4,6,7}:{(4608,1),(4624,1),(4893,1),(4896,1),(5693,1),(5827,1),(6008,1),(6018,1),(6829,1),(6863,1),(7246,1),(7248,1),(7787,1),(7788,1),(7796,1),(8483,1)}
5188:{3,5,7}:{(4628,1),(4702,1),(4901,1),(5760,1),(5767,1),(5783,1),(6047,1),(6859,1)}
5189:{3,5}:{(4630,1),(4700,1),(5769,1)}
5190:{3,5,7}:{(4629,1),(4699,1),(4901,1),(5761,1),(5770,1),(5784,1),(6047,1),(6860,1),(7124,1),(8040,1),(8041,1)}
5191:{3,5}:{(4627,1),(4701,1),(5768,1)}
5192:{3,6}:{(4628,1),(4706,1),(5760,1)}
5193:{3,4,6}:{(4630,1),(4705,1),(4899,1),(5762,1),(5769,1),(5772,1),(5836,1),(6030,1),(6849,1),(6869,1),(7124,1),(7959,1),(8533,1)}
5194:{3,4,6}:{(4627,1),(4704,1),(4899,1),(5759,1),(5768,1),(5773,1),(5838,1),(6030,1),(6848,1),(6867,1),(7815,1),(7956,1),(7959,1),(8527,1),(8533,1)}
5195:{3,6}:{(4629,1),(4703,1),(5761,1),(7124,1)}
5196:{3,4,6}:{(4631,1),(4690,1),(4707,1),(5764,1),(5782,1),(5907,1)}
5197:{3,4,6}:{(4633,1),(4687,1),(4708,1),(5763,1),(5779,1),(5843,1),(6761,1),(6832,1),(6863,1),(7720,1),(7796,1)}
5198:{3,4,6}:{(4634,1),(4688,1),(4710,1),(5766,1),(5781,1),(6864,1)}
5199:{3,4,6}:{(4632,1),(4689,1),(4709,1),(5765,1),(5780,1),(5846,1),(5908,1),(6830,1)}
5200:{3,4,7}:{(4633,1),(4693,1),(4712,1),(5745,1),(5777,1),(5853,1),(6829,1)}
5201:{3,4,5,7}:{(4632,1),(4694,1),(4713,1),(4908,1),(5746,1),(5776,1),(5780,1),(5785,1),(5854,1),(5914,1),(6037,1),(6042,1),(6827,1),(6851,1),(6876,1),(7097,1),(7101,1),(7105,1),(7119,1),(7790,1),(8043,1),(8594,1)}
5202:{3,4,5,7}:{(4631,1),(4691,1),(4711,1),(4908,1),(5743,1),(5775,1),(5782,1),(5786,1),(5912,1),(6037,1),(6042,1),(6826,1),(6850,1),(6877,1),(7097,1),(7119,1),(7811,1)}
5203:{3,4,7}:{(4634,1),(4692,1),(4714,1),(5744,1),(5778,1),(6828,1),(7716,1)}
5204:{5,7}:{(4635,1),(4647,1)}
5205:{2,5,7}:{(4637,1),(4649,1),(4847,1),(5736,1),(6007,1),(8026,1)}
5206:{5,7}:{(4636,1),(4648,1)}
5207:{2,5,7}:{(4638,1),(4650,1),(4847,1),(5737,1),(8026,1)}
5208:{2,5}:{(4602,1),(4653,1)}
5209:{2,4,5}:{(4600,1),(4651,1),(4910,1),(5810,1),(6014,1)}
5210:{2,5}:{(4601,1),(4654,1)}
5211:{2,4,5}:{(4599,1),(4652,1),(4910,1),(5807,1),(6014,1)}
5212:{2,6,7}:{(4608,1),(4640,1),(4917,1)}
5213:{2,5,7}:{(4609,1),(4641,1),(4916,1),(5798,1)}
5214:{2,5,6,7}:{(4607,1),(4642,1),(4916,1),(4917,1),(5795,1),(6053,1),(6057,1),(7131,1),(7837,1)}
5215:{2,7}:{(4610,1),(4639,1)}
5216:{2,4,6}:{(4604,1),(4640,1),(4643,1),(5789,1),(5811,1),(6844,1),(6887,1),(8618,1)}
5217:{2,4,6}:{(4605,1),(4639,1),(4645,1),(5788,1),(5796,1),(5802,1),(5812,1),(6845,1),(9124,1)}
5218:{2,4,6}:{(4603,1),(4642,1),(4644,1),(5814,1)}
5219:{2,4,6}:{(4606,1),(4641,1),(4646,1),(5798,1),(5800,1),(5813,1),(7841,1)}
5220:{2,4,6,7}:{(4612,1),(4653,1),(4666,1),(4923,1),(5792,1),(5817,1),(6059,1),(6906,1),(9123,1),(9465,1)}
5221:{2,4,7}:{(4614,1),(4654,1),(4664,1),(5791,1),(5818,1),(6062,1),(9124,1)}
5222:{2,4,7}:{(4613,1),(4651,1),(4665,1),(5815,1),(6062,1),(7841,1)}
5223:{2,4,6,7}:{(4611,1),(4652,1),(4663,1),(4923,1),(5794,1),(5816,1),(6059,1),(7839,1),(9472,1)}
5224:{4}:{(4683,1)}
5225:{4}:{(4684,1)}
5226:{2,4,7}:{(4685,1),(4865,1),(4926,1),(5799,1),(7716,1),(7841,1),(8604,1)}
5227:{2,4,7}:{(4686,1),(4865,1),(4926,1),(5801,1),(6014,1),(7098,1)}
5228:{3,5,6}:{(4636,1),(4661,1),(4667,1),(5742,1),(5954,1),(6867,1)}
5229:{3,5,6}:{(4635,1),(4659,1),(4670,1),(5741,1),(5953,1),(6021,1)}
5230:{2,3,5,6}:{(4637,1),(4660,1),(4669,1),(4867,1),(5740,1),(5749,1),(5952,1),(6021,1),(6058,1),(6868,1),(6895,1),(7130,1),(7200,1),(7883,1),(8032,1),(8054,1),(8609,1)}
5231:{2,3,5,6}:{(4638,1),(4662,1),(4668,1),(4867,1),(5739,1),(5748,1),(5951,1),(6058,1),(6869,1),(6901,1),(7128,1),(7842,1)}
5232:{2,3,5}:{(4615,1),(4645,1),(4677,1),(5812,1),(5821,1),(5960,1),(6896,1),(9050,1)}
5233:{2,3,5,7}:{(4618,1),(4643,1),(4675,1),(4934,1),(5809,1),(5811,1),(5822,1),(5959,1),(6079,1),(6895,1),(6902,1),(7847,1),(7850,1)}
5234:{2,3,5,7}:{(4616,1),(4644,1),(4676,1),(4934,1),(5807,1),(5814,1),(5820,1),(5961,1),(6079,1),(6894,1),(6903,1),(7848,1),(7853,1)}
5235:{2,3,5}:{(4617,1),(4646,1),(4678,1),(5813,1),(5819,1),(5962,1),(6897,1)}
5236:{3,6,7}:{(4648,1),(4667,1),(4673,1),(5752,1),(5964,1)}
5237:{3,4,6,7}:{(4647,1),(4670,1),(4672,1),(4930,1),(5803,1),(5831,1),(5966,1),(6008,1),(6011,1),(6829,1),(6863,1),(7121,1),(7246,1),(7248,1),(7787,1),(7796,1)}
5238:{2,3,6,7}:{(4650,1),(4668,1),(4674,1),(4881,1),(5754,1),(5965,1),(6057,1),(7131,1),(7749,1)}
5239:{2,3,4,6,7}:{(4649,1),(4669,1),(4671,1),(4881,1),(4930,1),(5753,1),(5805,1),(5834,1),(5963,1),(6008,1),(6011,1),(6034,1),(6057,1),(6078,1),(6828,1),(6864,1),(6883,1),(7014,1),(7098,1),(7121,1),(7129,1),(7131,1),(7135,1),(7140,1),(7142,1),(7152,1),(7246,1),(7248,1),(7739,1),(7788,1),(7795,1),(7796,1),(7831,1),(7842,1),(7848,1),(7878,1),(7879,1),(7888,1),(8029,1),(8031,1),(8036,1),(8040,1),(8055,1),(8058,1),(8479,1),(8490,1),(8493,1),(8599,1),(8612,1),(8622,1),(8635,1),(8750,1),(8752,1)}
5240:{2,3,6}:{(4622,1),(4651,1),(4678,1),(5810,1),(5815,1),(5968,1)}
5241:{2,3,6}:{(4619,1),(4652,1),(4676,1),(5807,1),(5970,1),(6903,1)}
5242:{2,3,6}:{(4620,1),(4654,1),(4677,1),(5808,1),(5818,1),(5967,1)}
5243:{2,3,6}:{(4621,1),(4653,1),(4675,1),(5809,1),(5969,1),(6902,1)}
5244:{3,5}:{(4695,1),(4757,1),(5745,1)}
5245:{2,3,5}:{(4697,1),(4758,1),(4888,1),(5743,1),(5762,1),(6037,1),(6061,1),(7132,1)}
5246:{2,3,5}:{(4698,1),(4755,1),(4888,1),(5744,1),(5761,1),(6061,1),(6903,1)}
5247:{3,5}:{(4696,1),(4756,1),(5746,1)}
5248:{2,3,5,6}:{(4623,1),(4642,1),(4686,1),(4952,1),(5727,1),(5801,1),(5814,1),(6054,1),(6075,1),(6763,1),(6887,1),(6894,1),(6915,1),(7130,1),(7853,1),(8054,1)}
5249:{2,3,6}:{(4626,1),(4639,1),(4684,1),(5720,1),(5802,1),(5829,1),(6773,1)}
5250:{2,3,5,6}:{(4625,1),(4641,1),(4683,1),(4952,1),(5721,1),(5800,1),(5813,1),(5830,1),(6054,1),(6761,1),(6897,1),(6915,1),(7128,1),(7842,1),(9045,1)}
5251:{2,3,6}:{(4624,1),(4640,1),(4685,1),(5729,1),(5799,1),(6887,1),(8618,1)}
5252:{3,6}:{(4693,1),(4759,1)}
5253:{2,3,6}:{(4692,1),(4762,1),(4897,1),(5770,1),(5778,1),(6864,1)}
5254:{2,3,6}:{(4691,1),(4760,1),(4897,1),(5769,1),(5775,1),(6869,1),(8046,1),(8533,1)}
5255:{3,6}:{(4694,1),(4761,1)}
5256:{3,7}:{(4689,1),(4765,1)}
5257:{2,3,7}:{(4688,1),(4766,1),(4900,1),(5781,1),(6047,1),(8040,1)}
5258:{2,3,7}:{(4690,1),(4763,1),(4900,1),(5782,1),(8040,1)}
5259:{3,7}:{(4687,1),(4764,1)}
5260:{2,3}:{(4630,1),(4770,1)}
5261:{2,3,7}:{(4628,1),(4768,1),(4960,1),(5835,1),(5847,1),(8505,1)}
5262:{2,3}:{(4627,1),(4769,1)}
5263:{2,3,7}:{(4629,1),(4767,1),(4960,1),(5837,1),(5848,1),(8594,1)}
5264:{2,3}:{(4633,1),(4774,1)}
5265:{2,3,5}:{(4632,1),(4772,1),(4963,1),(5846,1),(5856,1),(6006,1)}
5266:{2,3,4,5}:{(4631,1),(4771,1),(4961,1),(4963,1),(5845,1),(5858,1),(6003,1),(6019,1),(6093,1),(6833,1),(7161,1)}
5267:{2,3,4}:{(4634,1),(4773,1),(4961,1),(6019,1)}
5268:{5,6}:{(4707,1),(4968,1),(5866,1),(6106,1)}
5269:{1,4,5}:{(4708,1),(4849,1),(4965,1),(5763,1),(5861,1),(5919,1),(6825,1),(6832,1),(8575,1),(9072,1),(9445,1)}
5270:{5,6}:{(4709,1),(4968,1),(5864,1),(6106,1)}
5271:{1,4,5}:{(4710,1),(4849,1),(4965,1),(5766,1),(5860,1),(5922,1),(6823,1),(6833,1)}
5272:{1,4,5}:{(4601,1),(4704,1),(4756,1),(5746,1),(5759,1),(5887,1),(5923,1),(6108,1),(6783,1),(6848,1),(6982,1),(7186,1),(7711,1),(8644,1),(9186,1)}
5273:{1,4,5}:{(4599,1),(4703,1),(4755,1),(5744,1),(5761,1),(5889,1),(6980,1)}
5274:{1,4,5}:{(4600,1),(4705,1),(4758,1),(5743,1),(5762,1),(5890,1),(6108,1),(7186,1),(8028,1),(8643,1)}
5275:{1,4,5}:{(4602,1),(4706,1),(4757,1),(5745,1),(5760,1),(5888,1),(5924,1),(6847,1),(6978,1),(6984,1)}
5276:{1,4,6}:{(4603,1),(4699,1),(4777,1),(5770,1)}
5277:{1,4,6}:{(4605,1),(4701,1),(4776,1),(5768,1),(5876,1),(5886,1),(5893,1)}
5278:{1,4,6}:{(4604,1),(4702,1),(4778,1),(5767,1)}
5279:{1,4,6}:{(4606,1),(4700,1),(4775,1),(5769,1),(5878,1),(5884,1),(5894,1)}
5280:{1,4,6,7}:{(4612,1),(4706,1),(4803,1),(4980,1),(5771,1),(5871,1),(6112,1),(6984,1),(7917,1)}
5281:{1,4,7}:{(4614,1),(4704,1),(4805,1),(5773,1),(6120,1),(6827,1),(6982,1),(7807,1),(9425,1)}
5282:{1,4,6,7}:{(4611,1),(4703,1),(4806,1),(4980,1),(5774,1),(5874,1),(6112,1),(7904,1)}
5283:{1,4,7}:{(4613,1),(4705,1),(4804,1),(5772,1),(6120,1),(6826,1),(7103,1),(7902,1)}
5284:{1,4,6}:{(4712,1),(4812,1),(4863,1),(5777,1),(5861,1),(7796,1)}
5285:{4,6}:{(4713,1),(4813,1),(5859,1),(6106,1)}
5286:{1,4,6}:{(4714,1),(4814,1),(4863,1),(5778,1),(5860,1),(7102,1),(7796,1)}
5287:{4,6}:{(4711,1),(4811,1),(5862,1),(6106,1)}
5288:{4,7}:{(4707,1),(4816,1),(5866,1)}
5289:{4,7}:{(4709,1),(4815,1),(5864,1)}
5290:{1,4,7}:{(4710,1),(4817,1),(4864,1),(5781,1),(6828,1),(7104,1)}
5291:{1,4,7}:{(4708,1),(4818,1),(4864,1),(5779,1),(6829,1),(7792,1),(9445,1)}
5292:{1,4,7}:{(4822,1),(4865,1),(4985,1),(5744,1),(5784,1),(5883,1),(6828,1),(6980,1),(6984,1),(7716,1),(7902,1)}
5293:{1,4,7}:{(4820,1),(4865,1),(4985,1),(5745,1),(5783,1),(5885,1),(6829,1),(6847,1),(6978,1),(6984,1),(7806,1)}
5294:{4,5}:{(4819,1),(4984,1),(5884,1)}
5295:{4,5}:{(4821,1),(4984,1),(5886,1),(6848,1)}
5296:{1,4,5,7}:{(4618,1),(4730,1),(4992,1),(4993,1),(5888,1),(5891,1),(5901,1),(5959,1),(6127,1),(6139,1),(6973,1),(6978,1),(6984,1),(7173,1),(7249,1),(7908,1),(7913,1),(7917,1),(7918,1)}
5297:{1,5}:{(4617,1),(4729,1),(5894,1)}
5298:{1,4,5,7}:{(4616,1),(4727,1),(4992,1),(4993,1),(5889,1),(5892,1),(5902,1),(5961,1),(6127,1),(6139,1),(6970,1),(6980,1),(6983,1),(7173,1),(7249,1),(7909,1),(7912,1),(7915,1),(7920,1)}
5299:{1,5}:{(4615,1),(4728,1),(5893,1)}
5300:{1,4,7}:{(4610,1),(4718,1),(4721,1),(5696,1),(5700,1),(5958,1)}
5301:{1,4,5,6,7}:{(4607,1),(4716,1),(4722,1),(4994,1),(4995,1),(5694,1),(5877,1),(5956,1),(6107,1),(6110,1),(6791,1),(7753,1),(7786,1),(7938,1),(8026,1),(8576,1),(8640,1),(9059,1)}
5302:{1,4,6,7}:{(4608,1),(4717,1),(4720,1),(4995,1),(5688,1),(5955,1),(6805,1)}
5303:{1,4,5,7}:{(4609,1),(4715,1),(4719,1),(4994,1),(5692,1),(5702,1),(5878,1),(5957,1),(6804,1),(7907,1),(7942,1)}
5304:{1,4,6}:{(4621,1),(4730,1),(4807,1),(5888,1),(5904,1),(5969,1),(6978,1),(6984,1)}
5305:{1,4,6}:{(4622,1),(4729,1),(4810,1),(5890,1),(5894,1),(5896,1),(5968,1),(6985,1)}
5306:{1,4,6}:{(4620,1),(4728,1),(4808,1),(5887,1),(5893,1),(5897,1),(5967,1),(6982,1)}
5307:{1,4,6}:{(4619,1),(4727,1),(4809,1),(5889,1),(5906,1),(5970,1),(6980,1),(6983,1)}
5308:{1,3,5,6,7}:{(4716,1),(4732,1),(4735,1),(4893,1),(5013,1),(5693,1),(6036,1),(6104,1),(6123,1),(6863,1),(6957,1),(6973,1),(7003,1),(8071,1),(8078,1)}
5309:{3,5,7}:{(4715,1),(4734,1),(4736,1),(5691,1)}
5310:{1,3,5,6,7}:{(4717,1),(4731,1),(4737,1),(4893,1),(5013,1),(5687,1),(5695,1),(6104,1),(6123,1),(6863,1),(6954,1),(6973,1),(7002,1),(7729,1),(7732,1),(7824,1),(7941,1),(7945,1),(8026,1),(8037,1),(8040,1),(8071,1),(8078,1),(8561,1),(8563,1),(8579,1),(8670,1),(8752,1),(8771,1)}
5311:{3,5,7}:{(4718,1),(4733,1),(4738,1),(5697,1),(5700,1)}
5312:{1,3,4,6,7}:{(4732,1),(4739,1),(4746,1),(4895,1),(4994,1),(5692,1),(5880,1),(5979,1),(6048,1),(6135,1),(6804,1),(7773,1),(7907,1),(7946,1),(8040,1),(8664,1),(8676,1),(9078,1)}
5313:{4,6,7}:{(4733,1),(4741,1),(4743,1),(5689,1),(5697,1),(5980,1),(8487,1)}
5314:{3,4,6,7}:{(4734,1),(4742,1),(4745,1),(4994,1),(5694,1),(5702,1),(5882,1),(5982,1),(6791,1),(7786,1),(7822,1)}
5315:{1,4,6,7}:{(4731,1),(4740,1),(4744,1),(4895,1),(5701,1),(5981,1),(6803,1)}
5316:{1,3,4,5,7}:{(4739,1),(4753,1),(4896,1),(4995,1),(5013,1),(5687,1),(5865,1),(5983,1),(6041,1),(6047,1),(6119,1),(6127,1),(6133,1),(6829,1),(6854,1),(6949,1),(6960,1),(6973,1),(7104,1),(7118,1),(7127,1),(7190,1),(7198,1),(7249,1),(7250,1),(7732,1),(7801,1),(7806,1),(7818,1),(7908,2),(7909,1),(7917,1),(7945,1),(8004,1),(8026,1),(8037,1),(8040,1),(8076,1),(8515,1),(8518,1),(8673,1),(8677,1),(8750,1),(8771,1)}
5317:{1,4,5,7}:{(4740,1),(4751,1),(4896,1),(5013,1),(5693,1),(5986,1),(6119,1),(6127,1),(6829,1),(6973,1),(7249,1),(7908,1),(7909,1),(7917,1),(8517,1)}
5318:{5,7}:{(4741,1),(4754,1),(5690,1)}
5319:{3,5,7}:{(4742,1),(4752,1),(4995,1),(5688,1),(5866,1),(6047,1)}
5320:{3,6,7}:{(4726,1),(4747,1),(5016,1),(5690,1),(6039,1),(6106,1)}
5321:{3,4,7}:{(4724,1),(4748,1),(5014,1),(5691,1),(5988,1),(6120,1),(6827,1),(9425,1)}
5322:{3,5,6,7}:{(4725,1),(4749,1),(5015,1),(5016,1),(5689,1),(5774,1),(6039,1),(6040,1),(6105,1),(6106,1),(6851,1),(6862,1),(6866,1),(7117,1),(7829,1),(8586,1),(8594,1),(8754,1),(9144,1)}
5323:{3,4,5,7}:{(4723,1),(4750,1),(5014,1),(5015,1),(5697,1),(5772,1),(5989,1),(6040,1),(6046,1),(6105,1),(6120,1),(6827,1),(6851,1),(6876,1),(7033,1),(7097,1),(7103,1),(7119,1),(7731,1),(7790,1),(7828,1),(8594,1)}
5324:{1,3,4}:{(4630,1),(4729,1),(5020,1),(5899,1),(5999,1),(6159,1),(7959,1)}
5325:{1,3,7}:{(4629,1),(4727,1),(5024,1),(5906,1)}
5326:{1,3,4}:{(4627,1),(4728,1),(5020,1),(5900,1),(6001,1),(6159,1)}
5327:{1,3,7}:{(4628,1),(4730,1),(5024,1),(5904,1)}
5328:{1,3,4}:{(4634,1),(4840,1),(5007,1),(5744,1),(6019,1),(6049,1),(6849,1),(6980,1),(7124,1),(7170,1),(7183,1)}
5329:{1,4,5}:{(4631,1),(4839,1),(5029,1),(5743,1),(5907,1),(6019,1),(6833,1),(7170,1)}
5330:{1,3,4}:{(4633,1),(4841,1),(5007,1),(5745,1),(6005,1),(6049,1),(6817,1),(6978,1),(7124,1),(8537,1)}
5331:{1,4,5}:{(4632,1),(4842,1),(5029,1),(5746,1),(5908,1),(6006,1)}
5332:{1,5,6}:{(4636,1),(4756,1),(4761,1),(5823,1),(5859,1),(5915,1)}
5333:{1,2,5,6}:{(4637,1),(4755,1),(4762,1),(4964,1),(5825,1),(5860,1),(5867,1),(5918,1),(6786,1),(6954,1),(7984,1)}
5334:{1,5,6}:{(4635,1),(4757,1),(4759,1),(5826,1),(5861,1),(5917,1)}
5335:{1,2,5,6}:{(4638,1),(4758,1),(4760,1),(4964,1),(5824,1),(5862,1),(5868,1),(5916,1),(6779,1),(6988,1),(7985,1),(8587,1)}
5336:{1,4,6,7}:{(4647,1),(4759,1),(4764,1),(4781,1),(5831,1),(5917,1),(6829,1)}
5337:{1,4,6,7}:{(4648,1),(4761,1),(4765,1),(4780,1),(5833,1),(5876,1),(5881,1),(5915,1),(5964,1),(6827,1)}
5338:{1,2,4,6,7}:{(4650,1),(4760,1),(4763,1),(4782,1),(4974,1),(5832,1),(5878,1),(5882,1),(5916,1),(5965,1),(6799,1),(6826,1),(6962,1),(7009,1),(7131,1),(7749,1),(7779,1),(8486,1),(8514,1),(8569,1)}
5339:{1,2,4,6,7}:{(4649,1),(4762,1),(4766,1),(4779,1),(4974,1),(5834,1),(5877,1),(5880,1),(5918,1),(6828,1),(7131,1)}
5340:{1,2,4,6}:{(4652,1),(4703,1),(4767,1),(4784,1),(5837,1),(5926,1),(5945,1),(5970,1),(7083,1),(7839,1),(7904,1),(8549,1)}
5341:{1,2,4,6}:{(4651,1),(4705,1),(4770,1),(4785,1),(5836,1),(5925,1),(5934,1),(5946,1),(5968,1),(6062,1),(6888,1),(7222,1),(7904,1),(7985,1),(7991,1)}
5342:{1,2,4,6}:{(4654,1),(4704,1),(4769,1),(4786,1),(5838,1),(5923,1),(5931,1),(5944,1),(5967,1),(6062,1),(6848,1),(6889,1),(6982,1),(7036,1),(7222,1),(7815,1),(7863,1),(7983,1),(7991,1),(8548,1),(9124,1),(9509,1)}
5343:{1,2,4,6}:{(4653,1),(4706,1),(4768,1),(4783,1),(5835,1),(5924,1),(5943,1),(5969,1),(6847,1),(6984,1),(7084,1),(7993,1),(8544,1),(9123,1)}
5344:{1,2,4,5}:{(4646,1),(4700,1),(4770,1),(4787,1),(5711,1),(5712,1),(5842,1),(5930,1),(5962,1),(6777,1)}
5345:{1,2,4,5,7}:{(4643,1),(4702,1),(4768,1),(4789,1),(5046,1),(5708,1),(5718,1),(5839,1),(5924,1),(5929,1),(5959,1),(6175,1),(6785,1),(6816,1),(6847,1),(6984,1),(7023,1),(7706,1),(7806,1),(7917,1),(7918,1),(7993,1),(8553,1),(8706,1),(8712,1),(9233,1)}
5346:{1,2,4,5}:{(4645,1),(4701,1),(4769,1),(4788,1),(5704,1),(5716,1),(5840,1),(5923,1),(5927,1),(5960,1),(6783,1),(6848,1),(6982,1),(7711,1),(7919,1),(8548,1),(9124,1)}
5347:{1,2,4,5,7}:{(4644,1),(4699,1),(4767,1),(4790,1),(5046,1),(5715,1),(5717,1),(5841,1),(5926,1),(5928,1),(5961,1),(6175,1),(6787,1),(6807,1),(8049,1),(8069,1),(8713,1)}
5348:{1,2,4,6}:{(4708,1),(4774,1),(4824,1),(4924,1),(5843,1),(5919,1),(5942,1),(6832,1),(6887,1),(7016,1),(7796,1),(7841,1),(8545,1),(8600,1),(9096,1),(9445,1)}
5349:{2,4,6}:{(4709,1),(4772,1),(4826,1),(5846,1),(5920,1),(5941,1),(5949,1),(6830,1)}
5350:{1,2,4,6}:{(4710,1),(4773,1),(4823,1),(4924,1),(5844,1),(5922,1),(5939,1),(6886,1),(7017,1)}
5351:{2,4,6}:{(4707,1),(4771,1),(4825,1),(5921,1),(5940,1),(5947,1)}
5352:{4,7}:{(4827,1),(5050,1),(5943,1),(6847,1)}
5353:{2,4}:{(4830,1),(4984,1),(6848,1)}
5354:{4,7}:{(4829,1),(5050,1),(5945,1)}
5355:{2,4}:{(4828,1),(4984,1)}
5356:{1,2,4,7}:{(4712,1),(4774,1),(4833,1),(4925,1),(5707,1),(5853,1),(5935,1),(6803,1),(9445,1)}
5357:{1,2,4,7}:{(4714,1),(4773,1),(4832,1),(4925,1),(5712,1),(5851,1),(5936,1),(6804,1),(7902,1),(7932,1),(7990,1),(9132,1)}
5358:{2,4,5,7}:{(4711,1),(4771,1),(4834,1),(5049,1),(5711,1),(5717,1),(5937,1),(5940,1),(6163,1),(6164,1),(6790,1),(7020,1),(7870,1),(8604,1),(8609,1)}
5359:{2,4,5,7}:{(4713,1),(4772,1),(4831,1),(5049,1),(5713,1),(5714,1),(5854,1),(5938,1),(5941,1),(6163,1),(6164,1),(6801,1),(7021,1),(7101,1),(7105,1),(7790,1),(7871,1),(8501,1),(8607,1),(9152,1)}
5360:{4,5}:{(4835,1),(5050,1),(5947,1),(6019,1),(6847,1)}
5361:{4,5}:{(4838,1),(5050,1),(5856,1),(5949,1)}
5362:{1,2,4}:{(4836,1),(4926,1),(4985,1),(5857,1),(6019,1),(6847,1),(6984,1),(7183,1)}
5363:{1,2,4}:{(4837,1),(4926,1),(4985,1),(5855,1),(6984,1)}
5364:{1,2,5,7}:{(4662,1),(4758,1),(4800,1),(4988,1),(5872,1),(5890,1),(5951,1),(6105,1),(6180,1),(6971,1),(7031,1),(7214,1),(7976,1),(8643,1)}
5365:{1,5,7}:{(4659,1),(4757,1),(4799,1),(5888,1),(5953,1)}
5366:{1,2,5,7}:{(4660,1),(4755,1),(4802,1),(4988,1),(5874,1),(5889,1),(5952,1),(6180,1),(6970,1),(7230,1),(8007,1)}
5367:{1,5,7}:{(4661,1),(4756,1),(4801,1),(5887,1),(5954,1),(6105,1),(8584,1),(8644,1)}
5368:{1,2,5,7}:{(4658,1),(4718,1),(4776,1),(4780,1),(5876,1),(5915,1),(5958,1),(5978,1),(7780,1),(7943,1)}
5369:{1,2,5,6,7}:{(4657,1),(4717,1),(4778,1),(4781,1),(5054,1),(5875,1),(5917,1),(5955,1),(6123,1),(6973,1),(7023,1),(7052,1),(8563,1),(9102,1)}
5370:{1,2,5,6,7}:{(4655,1),(4716,1),(4777,1),(4779,1),(5054,1),(5877,1),(5918,1),(6123,1),(6970,1),(7050,1),(7213,1)}
5371:{1,2,5,7}:{(4656,1),(4715,1),(4775,1),(4782,1),(5878,1),(5976,1),(7779,1),(7942,1)}
5372:{1,2,6}:{(4639,1),(4721,1),(4788,1),(5722,1),(5958,1)}
5373:{1,2,5,6}:{(4642,1),(4722,1),(4790,1),(5060,1),(5734,1),(5928,1),(6167,1),(7017,1),(7765,1),(8046,1),(8106,1),(8758,1)}
5374:{1,2,6}:{(4640,1),(4720,1),(4789,1),(5732,1),(8106,1)}
5375:{1,2,5,6}:{(4641,1),(4719,1),(4787,1),(5060,1),(5723,1),(5930,1),(5957,1),(7964,1),(7985,1)}
5376:{1,2,5,7}:{(4665,1),(4723,1),(4785,1),(5061,1),(5934,1),(5989,1),(6173,1),(7131,1),(7780,1),(7834,1),(7964,1)}
5377:{1,2,5,6,7}:{(4663,1),(4725,1),(4784,1),(5061,1),(5063,1),(5933,1),(5987,1),(6167,1),(6169,1),(7035,1),(7781,1),(7835,1),(7962,1),(7994,1),(8007,1),(8016,1),(8046,1),(8105,1),(8106,1),(8565,1),(8689,1),(8758,1)}
5378:{1,2,6,7}:{(4666,1),(4726,1),(4783,1),(5063,1),(5990,1),(6167,1),(7778,1),(8106,1)}
5379:{1,2,7}:{(4664,1),(4724,1),(4786,1),(5988,1)}
5380:{1,2,4,6}:{(4669,1),(4795,1),(4999,1),(5057,1),(5892,1),(5952,1),(5994,1),(6112,1),(6137,1),(6167,1),(6186,1),(6967,1),(7102,1),(7168,1),(7204,1),(7217,1),(7984,1),(8075,1),(8106,1),(8654,1)}
5381:{1,2,6}:{(4668,1),(4796,1),(4999,1),(5894,1),(6106,1)}
5382:{1,4,6}:{(4670,1),(4797,1),(5057,1),(5953,1),(5992,1)}
5383:{1,6}:{(4667,1),(4798,1),(6106,1)}
5384:{1,2,4,5,7}:{(4671,1),(4766,1),(4792,1),(5002,1),(5058,1),(5865,1),(5918,1),(5963,1),(5998,1),(6113,1),(6127,1),(6138,1),(6168,1),(6188,1),(6828,1),(6970,1),(7053,1),(7090,1),(7104,1),(7131,1),(7172,1),(7208,1),(7213,1),(7218,1),(7221,1),(7227,1),(7249,1),(7250,1),(7776,1),(7837,1),(7900,1),(7909,1),(7915,1),(7917,1),(7975,1),(7976,1),(7995,1),(8004,1),(8026,1),(8067,1),(8068,1),(8076,1),(8087,1),(8100,1),(8512,1),(8515,1),(8521,1),(8696,1),(8701,1),(8708,1),(8750,1),(8771,1)}
5385:{1,4,5,7}:{(4672,1),(4764,1),(4793,1),(5058,1),(5917,1),(5966,1),(5995,1),(6127,1),(6138,1),(6829,1),(6973,1),(7172,1),(7249,1),(7908,1),(7917,1)}
5386:{1,5,7}:{(4673,1),(4765,1),(4791,1),(5864,1),(5964,1)}
5387:{1,2,5,7}:{(4674,1),(4763,1),(4794,1),(5002,1),(5866,1),(5965,1),(6188,1),(7131,1),(7779,1)}
5388:{1,2,7}:{(4676,1),(4727,1),(5071,1),(5970,1)}
5389:{1,2}:{(4677,1),(4728,1)}
5390:{1,2}:{(4678,1),(4729,1)}
5391:{1,2,7}:{(4675,1),(4730,1),(5071,1),(5969,1)}
5392:{1,3,5,7}:{(4680,1),(4808,1),(5055,1),(5887,1),(5897,1),(6144,1),(6152,1),(7755,1),(7782,1),(7977,1)}
5393:{1,5,6,7}:{(4679,1),(4807,1),(5075,1),(5888,1),(5898,1),(6123,1),(6125,1),(6973,1),(7764,1),(7778,1),(8008,1),(8106,1)}
5394:{1,5,6,7}:{(4681,1),(4809,1),(5075,1),(5889,1),(5895,1),(6123,1),(6125,1),(6970,1),(7757,1),(7781,1),(8007,1),(8106,1)}
5395:{1,3,5,7}:{(4682,1),(4810,1),(5055,1),(5890,1),(5896,1),(6144,1),(6152,1),(7766,1),(7773,1),(7976,1)}
5396:{2,3,6,7}:{(4733,1),(4780,1),(4813,1),(4815,1),(5833,1),(5881,1),(5978,1),(5980,1),(7741,1),(7823,1)}
5397:{1,2,3,6,7}:{(4731,1),(4781,1),(4812,1),(4818,1),(4947,1),(5831,1),(5879,1),(5981,1),(6104,1),(6863,1),(6943,1),(7016,1),(8561,1),(9096,1)}
5398:{2,3,6,7}:{(4734,1),(4782,1),(4811,1),(4816,1),(5882,1),(5976,1),(7749,1),(7822,1)}
5399:{1,2,3,6,7}:{(4732,1),(4779,1),(4814,1),(4817,1),(4947,1),(5834,1),(5880,1),(6104,1),(6864,1),(7017,1),(7152,1)}
5400:{2,3,5,6}:{(4736,1),(4775,1),(4811,1),(4819,1),(5730,1),(5769,1),(5862,1),(5884,1),(5976,1),(6769,1),(6779,1),(6858,1)}
5401:{1,2,3,5,6}:{(4735,1),(4777,1),(4814,1),(4822,1),(4948,1),(5729,1),(5770,1),(5825,1),(5860,1),(5883,1),(6199,1),(6772,1),(6786,1),(6860,1),(6991,1),(7042,1),(7173,1),(7769,1),(7954,1),(7984,1)}
5402:{2,3,5,6}:{(4738,1),(4776,1),(4813,1),(4821,1),(5722,1),(5726,1),(5768,1),(5823,1),(5859,1),(5886,1),(5978,1),(6758,1),(6778,1),(6861,1),(6889,1)}
5403:{1,2,3,5,6}:{(4737,1),(4778,1),(4812,1),(4820,1),(4948,1),(5727,1),(5731,1),(5767,1),(5826,1),(5861,1),(5885,1),(6199,1),(6763,1),(6785,1),(6859,1),(6887,1),(6915,1),(6920,1),(6993,1),(7042,1),(7173,1),(7760,1),(7769,1),(7954,1),(7982,1),(8054,1)}
5404:{1,2,7}:{(4740,1),(4824,1),(4951,1)}
5405:{1,2,3,7}:{(4739,1),(4823,1),(4951,1),(5059,1),(5939,1),(6100,1),(6188,1),(7131,1),(7848,1)}
5406:{2,3,7}:{(4742,1),(4825,1),(5059,1),(5940,1)}
5407:{2,7}:{(4741,1),(4826,1)}
5408:{1,2,6}:{(4744,1),(4833,1),(4952,1)}
5409:{1,2,3,6}:{(4746,1),(4832,1),(4952,1),(5060,1),(5936,1),(6096,1),(6186,1),(7017,1),(7985,1),(9106,1)}
5410:{2,6}:{(4743,1),(4831,1)}
5411:{2,3,6}:{(4745,1),(4834,1),(5060,1),(5937,1),(8046,1)}
5412:{2,3,6}:{(4748,1),(4786,1),(4830,1),(5730,1),(5944,1),(5988,1),(6889,1),(9509,1)}
5413:{2,3,5,6}:{(4749,1),(4784,1),(4829,1),(5082,1),(5724,1),(5837,1),(5945,1),(6085,1),(6163,1),(6771,1),(6922,1)}
5414:{2,3,5,6}:{(4750,1),(4785,1),(4828,1),(5082,1),(5726,1),(5836,1),(5946,1),(5989,1),(6076,1),(6085,1),(6163,1),(6758,1),(6889,1),(6905,1),(6925,1),(7132,1),(7200,1),(7882,1),(7892,1),(8046,1),(8056,1),(8607,1)}
5415:{2,3,6}:{(4747,1),(4783,1),(4827,1),(5733,1),(5943,1),(6765,1)}
5416:{2,3,5,6}:{(4752,1),(4825,1),(4835,1),(5062,1),(5732,1),(5921,1),(5947,1),(5984,1),(6098,1),(6776,1),(6927,1)}
5417:{1,2,5,6}:{(4751,1),(4824,1),(4837,1),(4953,1),(5729,1),(5919,1),(5948,1),(5986,1),(6187,1),(6786,1),(6887,1),(7016,1),(7215,1),(7964,1),(7982,1),(7984,1),(8098,1),(8545,1),(9096,1)}
5418:{1,2,3,5,6}:{(4753,1),(4823,1),(4836,1),(4953,1),(5062,1),(5731,1),(5922,1),(5950,1),(5983,1),(6092,1),(6098,1),(6184,1),(6187,1),(6785,1),(6887,1),(6920,1),(6929,1),(7017,1),(7042,1),(7066,1),(7089,1),(7159,1),(7215,1),(7747,1),(7769,1),(7853,1),(7881,1),(7954,1),(7982,2),(7984,1),(8015,1),(8054,1),(8098,1),(8542,1),(8612,1),(8686,1),(8725,1),(8734,1),(8762,1),(9043,1),(9456,1)}
5419:{2,5,6}:{(4754,1),(4826,1),(4838,1),(5733,1),(5949,1),(5985,1),(6784,1)}
5420:{1,3,5,6}:{(4687,1),(4793,1),(4841,1),(5763,1),(5826,1),(5909,1),(5992,1),(5995,1),(6044,1),(6151,1),(6863,1),(6989,1),(7187,1),(7954,1),(8078,1)}
5421:{1,3,5,6}:{(4689,1),(4791,1),(4842,1),(5765,1),(5823,1),(5908,1),(5993,1),(5997,1),(6986,1)}
5422:{1,2,3,5,6}:{(4690,1),(4794,1),(4839,1),(5019,1),(5764,1),(5824,1),(5907,1),(5991,1),(5996,1),(6092,1),(6209,1),(6988,1),(7068,1)}
5423:{1,2,3,5,6}:{(4688,1),(4792,1),(4840,1),(5019,1),(5766,1),(5825,1),(5910,1),(5994,1),(5998,1),(6044,1),(6092,1),(6151,1),(6209,1),(6864,1),(6918,1),(6928,1),(6987,1),(6991,1),(7069,1),(7070,1),(7089,1),(7159,1),(7187,1),(7767,1),(7769,1),(7878,1),(7940,1),(7954,1),(7957,1),(7984,1),(8017,1),(8041,1),(8054,1),(8078,1),(8530,1),(8559,1),(8580,1),(8630,1),(8733,1),(8735,1),(8752,1),(8762,1),(9143,1),(9162,1),(9455,1),(9456,1)}
5424:{1,3,5,7}:{(4694,1),(4798,1),(4842,1),(4844,1),(5900,1),(5914,1),(5993,1),(6042,1),(7005,1),(8043,1),(8594,1)}
5425:{1,2,3,5,7}:{(4692,1),(4795,1),(4840,1),(4846,1),(5021,1),(5902,1),(5911,1),(5994,1),(6045,1),(6091,1),(6808,1),(6934,1),(6987,1),(7124,1),(7160,1),(7769,1),(8023,1),(8040,1),(8041,1),(8054,1),(8630,1),(8679,1),(8733,1)}
5426:{1,3,5,7}:{(4693,1),(4797,1),(4841,1),(4843,1),(5913,1),(5992,1),(6045,1),(6989,1)}
5427:{1,2,3,5,7}:{(4691,1),(4796,1),(4839,1),(4845,1),(5021,1),(5899,1),(5912,1),(5991,1),(6042,1),(6091,1),(6815,1),(6933,1),(7004,1),(7240,1),(7779,1)}
5428:{1,3,6,7}:{(4695,1),(4799,1),(4843,1),(5771,1),(5831,1),(5904,1),(5971,1),(5992,1)}
5429:{1,2,3,6,7}:{(4698,1),(4802,1),(4846,1),(5027,1),(5774,1),(5834,1),(5906,1),(5973,1),(5994,1),(6097,1),(6173,1),(6206,1),(7002,1),(7124,1),(7131,1),(7204,1),(8023,1),(8040,1)}
5430:{1,3,4,6,7}:{(4696,1),(4801,1),(4844,1),(5088,1),(5773,1),(5833,1),(5903,1),(5972,1),(5993,1),(6050,1),(6115,1),(6157,1),(6827,1),(6867,1),(6968,1),(7005,1),(7006,1),(7126,1),(7199,1),(7815,1),(7830,1),(7906,1),(7949,1),(8079,1),(8594,1)}
5431:{1,2,3,4,6,7}:{(4697,1),(4800,1),(4845,1),(5027,1),(5088,1),(5772,1),(5832,1),(5905,1),(5974,1),(5991,1),(6050,1),(6097,1),(6115,1),(6157,1),(6173,1),(6206,1),(6826,1),(6869,1),(6942,1),(6951,1),(6969,1),(7004,1),(7009,1),(7041,1),(7077,1),(7081,1),(7085,1),(7102,1),(7103,1),(7124,1),(7126,1),(7131,1),(7137,1),(7157,1),(7170,1),(7199,1),(7204,1),(7207,1),(7222,1),(7241,1),(7244,1),(7771,1),(7779,1),(7814,1),(7815,1),(7832,1),(7849,1),(7873,1),(7885,1),(7891,1),(7907,1),(7932,1),(7946,1),(7959,1),(7969,1),(7985,1),(7990,1),(8012,1),(8022,1),(8040,1),(8044,1),(8046,1),(8050,1),(8059,1),(8062,1),(8068,1),(8079,1),(8085,1),(8104,1),(8111,1),(8486,1),(8514,1),(8533,1),(8559,1),(8569,1),(8594,1),(8664,1),(8709,1),(8715,1),(8719,1),(8743,1),(8754,1),(8765,1),(8781,1),(8782,1),(9106,1),(9110,1),(9117,1),(9131,1),(9136,1),(9200,1),(9222,1),(9467,1)}
5432:{5}:{(4863,1)}
5433:{4,5,7}:{(4847,1),(4848,1),(4861,1),(6007,1),(6022,1),(6053,1),(7098,1),(8026,1)}
5434:{4,5,7}:{(4849,1),(4864,1),(5095,1),(5096,1),(6007,1),(6008,1),(6055,1)}
5435:{4,5,6,7}:{(4850,1),(4851,1),(4852,1),(4909,1),(5736,1),(5738,1),(6011,1),(6023,1),(7094,1),(7753,1),(8026,1),(8483,1),(8585,1)}
5436:{4,6,7}:{(4853,1),(4854,1),(4866,1),(6008,1),(6057,1),(7788,1)}
5437:{4,5,6}:{(4853,1),(4855,1),(4867,1),(5739,1),(6013,1),(6058,1),(7788,1)}
5438:{4,6}:{(4859,1),(4927,1)}
5439:{4,5,7}:{(4856,1),(4857,1),(4928,1),(6011,1),(6016,1),(6828,1),(6829,1),(7098,1),(7104,1),(7806,1),(8026,1),(8750,1)}
5440:{4,5}:{(4860,1),(4888,1),(5744,1),(6013,1),(6061,1)}
5441:{4}:{(4942,1)}
5442:{4,6}:{(4858,1),(4929,1),(6014,1)}
5443:{4,6}:{(4862,1),(4943,1),(6012,1),(6016,1),(6832,1),(7716,1)}
5444:{4,7}:{(4862,1),(4944,1),(5744,1),(5745,1),(6014,1),(6015,1),(7716,1)}
5445:{4,6,7}:{(4863,1),(4864,1),(4947,1),(6007,1),(6008,1),(7796,1)}
5446:{4,6}:{(4865,1),(4948,1),(6009,1),(7716,1)}
5447:{3,5,6,7}:{(4847,1),(4867,1),(4881,1),(6010,1),(6022,1),(6036,1),(6121,1),(6850,1),(6955,1),(7842,1),(8026,1)}
5448:{3,5,7}:{(4868,1),(4885,1),(5095,1),(5097,1),(6020,1)}
5449:{3,5,6}:{(4848,1),(4869,1),(4879,1),(6021,1),(6022,1),(6122,1),(6897,1),(7842,1)}
5450:{3,6,7}:{(4850,1),(4870,1),(5101,1),(5102,1),(6123,1),(7248,1)}
5451:{3,5,7}:{(4851,1),(4871,1),(5102,1),(5103,1),(6124,1),(8580,1)}
5452:{3,5,6}:{(4852,1),(4870,1),(4873,1),(6026,1),(6125,1),(7248,1),(8032,1),(9506,1)}
5453:{3,4,5,7}:{(4855,1),(4869,1),(4883,1),(6014,1),(6022,1),(6024,1),(6029,1),(6040,1),(6070,1),(6126,1),(7098,1),(7103,1),(7124,1),(8040,1),(8044,1)}
5454:{3,4,5}:{(4849,1),(4868,1),(4886,1),(5763,1),(5766,1),(6012,1),(6021,1),(6071,1),(6134,1),(6220,1),(6823,1),(6825,1),(6832,1),(6833,1),(6897,1),(7099,1),(7720,1),(8041,1),(8575,1),(8580,1),(9139,1),(9143,1)}
5455:{3,4,7}:{(4856,1),(4875,1),(5101,1),(5102,1),(6047,1),(6079,1),(6127,1)}
5456:{3,4,5,6}:{(4857,1),(4871,1),(4875,1),(4876,1),(5747,1),(5749,1),(6026,1),(6027,1),(6032,1),(6044,1),(6072,1),(6128,1),(6220,1),(6221,1),(6839,1),(6841,1),(6843,1),(6844,1),(6927,1),(7108,1),(7115,1),(7246,1),(7248,1),(7721,1),(7954,1),(8032,1),(8535,1),(8579,1),(8580,1),(9128,1),(9506,1)}
5457:{3,4,5,7}:{(4858,1),(4872,1),(4882,1),(6030,1),(6031,1),(6043,1),(6073,1),(6129,1),(7111,1),(7113,1),(7119,1),(9151,1),(9152,1),(9494,1)}
5458:{3,4,5,7}:{(4859,1),(4873,1),(4876,1),(4884,1),(6026,1),(6033,1),(6045,1),(6074,1),(6130,1),(7108,1),(7114,1),(7150,1),(7812,1),(8032,1),(8681,1),(9233,1)}
5459:{3,4,6}:{(4853,1),(4878,1),(4889,1),(6013,1),(6015,1),(6039,1),(6075,1),(6131,1),(7102,1),(7720,1),(7788,1)}
5460:{3,4,6}:{(4860,1),(4891,1),(6013,1),(6017,1),(6029,1),(6030,1),(6046,1),(6076,1),(6132,1)}
5461:{3,4,5,7}:{(4854,1),(4877,1),(4880,1),(4890,1),(6016,1),(6022,1),(6028,1),(6041,1),(6077,1),(6133,1),(6829,1),(7095,1),(7098,1),(7104,1),(7127,1),(8026,1),(8037,1),(8040,1),(8750,1)}
5462:{3,4,6,7}:{(4861,1),(4879,1),(4880,1),(4892,1),(5754,1),(6022,1),(6078,1),(6135,1),(6913,1),(7098,1),(7842,1),(8040,1)}
5463:{3,4}:{(4862,1),(4945,1),(6136,1)}
5464:{3,4,6}:{(4863,1),(4887,1),(4949,1),(6015,1),(6021,1),(6137,1),(7102,1),(7796,1)}
5465:{3,4,7}:{(4864,1),(4886,1),(4950,1),(6016,1),(6138,1),(6828,1),(6829,1),(7098,1),(7104,1),(7792,1),(8040,1),(8750,1)}
5466:{3,4,7}:{(4865,1),(4946,1),(5104,1),(5106,1),(6035,1),(6139,1),(7714,1),(7716,1),(8537,1)}
5467:{3,5,6}:{(4888,1),(4897,1),(4964,1),(6013,1),(6036,1)}
5468:{3,5,6,7}:{(4889,1),(4890,1),(4892,1),(4966,1),(6020,1),(6022,1),(6028,1),(6036,1),(6856,1),(6863,1),(7106,1),(7121,1),(7248,1),(7729,1),(7824,1),(7842,1),(8026,1),(8037,1),(8040,1),(8752,1)}
5469:{3,5}:{(4902,1),(4967,1),(7124,1)}
5470:{3,5}:{(4899,1),(4969,1),(6030,1)}
5471:{3,5,7}:{(4891,1),(4898,1),(4970,1),(6046,1),(8594,1)}
5472:{3,5,7}:{(4894,1),(4904,1),(4972,1),(6039,1)}
5473:{3,5,6}:{(4894,1),(4905,1),(4971,1),(5766,1),(6039,1),(6041,1),(6864,1)}
5474:{3,5}:{(4907,1),(4968,1),(6149,1)}
5475:{3,5}:{(4903,1),(4973,1),(6049,1),(7124,1)}
5476:{3,6,7}:{(4897,1),(4900,1),(4974,1),(6036,1)}
5477:{3,6}:{(4901,1),(4975,1),(6047,1)}
5478:{3,7}:{(4899,1),(4976,1)}
5479:{3,4,6}:{(4897,1),(4906,1),(4977,1),(5769,1),(5770,1),(6013,1),(6038,1),(6039,1),(6096,1),(6864,1),(6869,1),(7100,1),(7102,1),(7788,1),(7795,1),(8754,1)}
5480:{3,4,6,7}:{(4898,1),(4902,1),(4904,1),(4979,1),(5772,1),(5774,1),(6039,1),(6040,1),(6046,1),(6097,1),(6869,1),(6873,1),(7102,1),(7103,1),(7122,1),(7124,1),(7125,1),(7126,1),(7814,1),(8040,1),(8044,1),(8594,1),(8754,1)}
5481:{3,7}:{(4903,1),(4980,1)}
5482:{3,4,7}:{(4900,1),(4905,1),(4978,1),(6041,1),(6047,1),(6100,1),(7104,1),(8040,1)}
5483:{3,4,6}:{(4908,1),(4955,1),(4981,1),(6017,1),(6037,1),(6157,1),(7102,1),(7815,1)}
5484:{3,4,7}:{(4907,1),(4956,1),(4983,1),(6042,1),(6158,1),(8594,1)}
5485:{3,4}:{(4957,1),(4984,1),(6159,1),(6848,1)}
5486:{3,4}:{(4901,1),(4985,1),(5855,1),(7124,1)}
5487:{2,5,6}:{(4848,1),(4910,1),(4918,1),(6053,1),(6054,1),(7130,1)}
5488:{2,5}:{(4849,1),(4924,1)}
5489:{2,6}:{(4853,1),(4914,1)}
5490:{2,5,7}:{(4854,1),(4913,1),(4919,1),(6057,1),(7131,1)}
5491:{2,5,7}:{(4855,1),(4910,1),(4922,1),(6058,1),(6061,1),(7130,1),(7131,1),(7132,1)}
5492:{2,4,5,6}:{(4857,1),(4913,1),(4915,1),(4920,1),(5789,1),(6056,1),(6059,1),(6060,1),(6064,1),(6072,1),(6844,1),(6886,1),(6887,1),(7129,1),(7130,1),(7861,1),(7864,1),(8045,1),(9043,1),(9128,1),(9506,1)}
5493:{2,4,5,7}:{(4858,1),(4911,1),(4912,1),(4921,1),(5735,1),(5737,1),(5791,1),(6062,1),(6063,1),(6073,1),(6909,1),(7132,1),(7866,1),(8028,1),(8757,1),(9151,1),(9186,1)}
5494:{2,4,5,7}:{(4859,1),(4914,1),(4915,1),(4923,1),(5792,1),(6059,1),(6065,1),(6074,1),(6906,1),(7130,1),(7861,1),(9233,1)}
5495:{2}:{(4860,1)}
5496:{2,4,6,7}:{(4861,1),(4916,1),(4918,1),(4919,1),(5798,1),(6053,1),(6057,1),(6078,1),(7098,1),(7131,1)}
5497:{2,4,7}:{(4856,1),(4917,1),(4920,1),(6079,1)}
5498:{2,4}:{(4862,1),(4931,1),(6014,1),(6019,1)}
5499:{2,4,6}:{(4863,1),(4925,1),(4952,1),(5800,1),(6054,1),(7796,1)}
5500:{2,4,7}:{(4864,1),(4924,1),(4951,1),(6055,1)}
5501:{2,4,6}:{(4926,1),(4953,1),(5098,1),(5099,1),(6056,1),(6067,1),(6832,1),(6844,1),(6887,1),(7716,1),(7796,1),(7841,1),(8479,1),(8604,1)}
5502:{2,3,5,6,7}:{(4866,1),(4909,1),(4927,1),(4928,1),(4930,1),(5803,1),(6011,1),(6023,1),(6057,1),(6179,1),(6225,1),(6227,1),(6885,1),(6891,1),(7014,1),(7121,1),(7142,1),(7152,1),(7248,1),(7753,1),(7844,1),(7879,1),(8026,1)}
5503:{2,3,5}:{(4868,1),(4940,1),(5107,1),(5108,1),(6012,1),(6021,1),(6220,1),(7130,1),(8580,1),(9043,1)}
5504:{2,3,5}:{(4869,1),(4910,1),(4937,1),(6014,1),(6180,1),(7124,1)}
5505:{2,3,5,6}:{(4872,1),(4911,1),(4936,1),(5748,1),(5750,1),(5808,1),(5810,1),(6031,1),(6073,1),(6181,1),(6899,1),(6901,1),(9046,1)}
5506:{2,3,5,6,7}:{(4874,1),(4912,1),(4929,1),(4935,1),(5804,1),(6058,1),(6063,1),(6070,1),(6073,1),(6076,1),(6090,1),(6182,1),(6901,1),(7131,1),(7132,1),(7153,1),(7158,1),(7735,1),(7749,1),(7834,1),(7849,1),(7852,1),(8046,1),(8055,1),(8056,1),(8629,1),(8757,1),(9051,1),(9176,1)}
5507:{2,3,5}:{(4876,1),(4915,1),(4938,1),(6080,1),(6183,1),(6902,1),(6903,1),(7869,1)}
5508:{2,3,5,6}:{(4877,1),(4913,1),(4931,1),(4932,1),(6064,1),(6071,1),(6075,1),(6077,1),(6184,1),(6887,1),(7130,1),(7140,1),(7159,1),(7853,1),(8045,1),(8054,1),(8612,1),(9043,1),(9456,1)}
5509:{2,3,5,7}:{(4878,1),(4914,1),(4931,1),(4939,1),(6061,1),(6065,1),(6075,1),(6185,1),(6903,1),(7130,1),(7131,1),(7160,1),(7837,1),(7848,1),(7853,1),(8054,1)}
5510:{2,3,6}:{(4879,1),(4918,1),(4933,1),(6186,1),(7842,1)}
5511:{2,3,6}:{(4875,1),(4920,1),(4934,1),(6079,1),(6187,1)}
5512:{2,3,7}:{(4880,1),(4919,1),(4932,1),(6188,1),(7131,1)}
5513:{2,3,7}:{(4882,1),(4921,1),(4936,1),(5752,1),(5754,1),(6189,1)}
5514:{2,3,6,7}:{(4883,1),(4922,1),(4937,1),(4939,1),(5815,1),(6070,1),(6075,1),(6076,1),(6190,1),(6901,1),(6903,1),(7131,1),(7848,1),(7849,1)}
5515:{2,3,7}:{(4884,1),(4923,1),(4938,1),(6191,1),(8505,1)}
5516:{2,3,4,6,7}:{(4885,1),(4940,1),(4954,1),(5111,1),(5112,1),(6016,1),(6020,1),(6034,1),(6068,1),(6083,1),(6224,1),(7096,1),(7135,1),(7140,1),(7248,1),(7796,1)}
5517:{2,3,4,6}:{(4886,1),(4924,1),(4932,1),(4941,1),(5843,1),(6064,1),(6071,1),(6083,1),(6192,1),(6832,1),(6886,1),(6887,1),(7140,1),(7159,1),(7796,1),(7841,1),(7895,1),(8600,1)}
5518:{2,3,4,7}:{(4887,1),(4925,1),(4933,1),(4941,1),(5819,1),(5853,1),(6014,1),(6065,1),(6081,1),(6193,1),(6913,1),(7098,1),(7124,1),(7160,1),(8040,1)}
5519:{2,3,4}:{(4926,1),(4934,1),(5104,1),(5106,1),(5855,1),(6194,1),(6902,1),(6903,1)}
5520:{2,3,5,6}:{(4889,1),(4944,1),(4949,1),(5030,1),(5826,1),(6015,1),(6021,1),(6075,1),(6887,1),(6915,1),(7130,1),(8054,1)}
5521:{2,3,5,7}:{(4890,1),(4943,1),(4954,1),(5032,1),(6016,1),(9456,1)}
5522:{2,3,5,6}:{(4891,1),(4942,1),(4955,1),(5033,1),(5823,1),(6017,1),(6037,1),(6076,1),(6085,1),(6090,1),(6889,1),(7117,1),(7132,1),(8046,1),(8056,1)}
5523:{2,3,6}:{(4870,1),(4946,1),(5034,1),(5767,1),(5770,1),(6035,1),(7248,1),(7954,1)}
5524:{2,3,5,6}:{(4871,1),(4945,1),(5035,1),(5113,1),(5114,1),(6032,1),(6044,1),(6087,1),(6219,1),(6220,1),(6928,1),(7159,1),(7248,1),(7878,1),(7954,1),(8580,1),(9456,1)}
5525:{2,3,5,7}:{(4873,1),(4945,1),(4962,1),(5036,1),(5760,1),(5761,1),(5807,1),(5809,1),(6033,1),(6045,1),(6088,1),(6854,1),(6856,1),(6902,1),(6903,1),(7124,1),(7160,1),(7847,1),(7848,1),(8025,1),(8040,1),(8681,1),(8739,1)}
5526:{2,3,5,6,7}:{(4893,1),(4947,1),(4948,1),(5031,1),(5116,1),(5117,1),(5827,1),(6007,1),(6018,1),(6086,1),(6225,1),(6227,1),(6878,1),(6891,1),(7107,1),(7152,1),(7248,1),(7725,1),(7844,1),(8026,1)}
5527:{2,3,5}:{(4894,1),(4958,1),(5037,1),(6019,1)}
5528:{2,3,6,7}:{(4892,1),(4949,1),(4950,1),(5038,1),(5831,1),(6020,1),(6034,1),(6863,1),(6864,1),(7121,1),(7140,1),(7248,1),(7842,1),(7878,1),(8040,1),(8752,1)}
5529:{2,3,6,7}:{(4895,1),(4916,1),(4951,1),(4952,1),(5830,1),(5981,1),(6066,1),(7842,1)}
5530:{2,3,5,7}:{(4896,1),(4917,1),(4951,1),(4953,1),(5827,1),(5986,1),(6055,1),(6067,1),(6079,1),(6878,1),(6948,1),(7131,1),(7836,1),(7837,1),(7847,1),(7848,1),(8500,1),(8506,1)}
5531:{2,3,6,7}:{(4898,1),(4955,1),(4956,1),(5039,1),(5833,1),(6050,1),(6090,1),(6095,1),(8046,1),(8594,1)}
5532:{2,3,6}:{(4899,1),(4957,1),(5040,1),(5768,1),(5769,1),(6051,1),(6095,1),(8533,1)}
5533:{2,3,6}:{(4902,1),(4959,1),(5041,1),(6085,1),(6903,1),(7124,1),(8059,1)}
5534:{2,3,6}:{(4903,1),(4960,1),(5043,1),(6094,1),(6099,1),(6102,1),(8529,1)}
5535:{2,3,7}:{(4904,1),(4958,1),(5044,1)}
5536:{2,3,6}:{(4905,1),(4961,1),(5042,1),(6100,1)}
5537:{2,3,5,7}:{(4906,1),(4959,1),(4961,1),(5045,1),(5842,1),(5851,1),(6061,1),(6085,1),(6096,1),(6100,1),(6903,1),(6904,1),(6914,1),(6938,1),(7124,1),(7131,1),(7160,1),(7730,1),(7837,1),(7848,1),(7849,1),(7853,1),(8040,1),(8041,1),(8054,1),(8059,1),(8630,1),(8633,1),(8765,1)}
5538:{2,3,5}:{(4901,1),(4960,1),(5046,1),(5857,1),(5858,1),(6098,1)}
5539:{2,3,4,6}:{(4907,1),(4958,1),(4963,1),(5048,1),(5846,1),(6019,1),(6093,1),(6102,1),(6103,1),(6213,1),(6830,1),(7102,1),(7151,1),(7161,1),(7894,1)}
5540:{2,3,4,7}:{(4908,1),(4959,1),(4963,1),(5049,1),(5848,1),(5850,1),(5854,1),(6062,1),(6101,1),(6214,1),(7137,1),(7157,1),(7790,1),(7871,1),(8502,1),(8594,1),(9164,1)}
5541:{3,4}:{(4960,1),(5050,1),(5856,1),(6215,1)}
5542:{1,5,7}:{(4847,1),(4964,1),(4974,1),(6036,1)}
5543:{5}:{(4981,1)}
5544:{1,5,7}:{(4965,1),(4982,1),(5095,1),(5096,1),(6104,1)}
5545:{1,4,5,6}:{(4848,1),(4964,1),(4967,1),(4977,1),(5860,1),(5862,1),(6013,1),(6038,1),(6107,1),(6122,1),(6162,1),(6777,1),(6788,1),(6822,1),(6823,1),(6954,1),(6988,1),(7100,1),(7164,1),(7168,1),(7743,1),(7765,1),(7788,1),(8028,1),(8577,1),(8643,1),(9069,1)}
5546:{5,7}:{(4968,1),(4983,1),(6106,1)}
5547:{1,4,6}:{(4853,1),(4972,1),(4986,1),(6039,1),(6106,1),(6167,1),(7102,1),(7201,1),(8106,1)}
5548:{1,4,5,7}:{(4854,1),(4971,1),(4978,1),(4987,1),(5866,1),(6041,1),(6110,1),(6168,1),(7029,1),(7104,1),(8004,1),(8026,1)}
5549:{1,4,5,7}:{(4855,1),(4967,1),(4979,1),(4988,1),(6040,1),(6105,1),(6111,1),(6169,1),(7033,1),(7097,1),(7103,1),(7164,1),(7166,1),(7184,1),(8007,1),(8028,1),(8643,1)}
5550:{1,4,5,7}:{(4858,1),(4969,1),(4976,1),(5051,1),(6043,1),(6115,1),(6116,1),(6982,1),(7166,1),(7929,1),(8514,1),(9152,1),(9488,1)}
5551:{1,4,5,6}:{(4857,1),(4973,1),(4975,1),(5052,1),(6044,1),(6109,1),(6112,1),(6113,1),(6117,1),(7162,1),(7164,1),(7168,1),(7918,1),(8652,1),(9067,1)}
5552:{1,4,5,7}:{(4859,1),(4973,1),(4980,1),(5053,1),(6045,1),(6112,1),(6118,1),(6984,1),(7164,1),(7917,1),(7918,1)}
5553:{1,4,7}:{(4860,1),(5008,1),(6046,1),(6132,1),(6173,1)}
5554:{1,4,7}:{(4856,1),(4975,1),(5054,1),(6047,1)}
5555:{1,4,6,7}:{(4861,1),(4977,1),(4978,1),(5072,1),(5878,1),(5882,1),(6048,1),(6107,1),(6791,1),(6804,1),(6826,1),(6828,1),(7743,1),(7786,1),(7788,1),(7907,1),(7909,1),(8031,1),(8068,1)}
5556:{1,4}:{(4862,1),(5073,1),(5744,1),(5745,1),(6019,1),(6049,1),(6847,1)}
5557:{4,6,7}:{(4981,1),(4983,1),(5076,1),(6105,1),(6106,1),(6120,1),(7163,1),(7815,1)}
5558:{4,6}:{(4984,1),(5077,1),(6108,1),(6120,1),(6848,1)}
5559:{1,4,6}:{(4985,1),(5078,1),(5098,1),(5099,1),(6052,1),(6109,1),(6119,1),(6832,1),(7716,1),(7796,1),(7902,1),(7935,1),(8479,1)}
5560:{1,5,6,7}:{(4866,1),(4986,1),(4987,1),(4990,1),(6104,1),(6110,1),(6954,1),(7753,1),(8026,1)}
5561:{1,5,6}:{(4867,1),(4988,1),(4999,1)}
5562:{1,5}:{(4869,1),(5003,1)}
5563:{1,6}:{(4870,1),(4992,1)}
5564:{1,5,6}:{(4871,1),(4991,1),(5119,1),(5120,1),(6124,1),(9506,1)}
5565:{1,5}:{(4872,1),(5001,1)}
5566:{1,5,7}:{(4873,1),(4991,1),(5006,1),(5888,1),(5889,1),(6125,1),(7173,1)}
5567:{1,4,5,6,7}:{(4874,1),(4970,1),(4989,1),(5000,1),(6111,1),(6116,1),(6121,1),(6126,1),(6129,1),(6132,1),(6145,1),(6182,1),(6962,1),(6971,1),(6976,1),(7165,1),(7166,1),(7171,1),(7184,1),(7752,1),(7899,1),(7907,1),(7910,1),(7942,1),(8079,1),(8514,1),(8643,1),(9069,1),(9152,1),(9157,1),(9444,1)}
5568:{1,4,6}:{(4875,1),(4993,1),(5119,1),(5121,1),(6127,1),(6151,1),(6187,1)}
5569:{1,4,5}:{(4876,1),(4991,1),(5004,1),(5888,1),(5889,1),(6136,1),(6146,1),(6183,1),(6978,1),(6980,1),(6983,1),(6984,1),(7183,1),(7232,1)}
5570:{1,4,5,6}:{(4877,1),(4996,1),(4997,1),(5009,1),(6013,1),(6117,1),(6122,1),(6131,1),(6133,1),(6134,1),(6184,1),(6823,1),(7164,1),(7168,1),(7177,1),(7721,1),(7788,1),(7912,1),(8647,1),(9067,1)}
5571:{1,4,5,7}:{(4878,1),(4996,1),(5005,1),(5010,1),(6118,1),(6131,1),(6185,1),(6980,1),(7164,1),(7812,1),(7909,1),(7912,1)}
5572:{1,4,6}:{(4879,1),(4998,1),(5011,1),(5894,1),(6122,1),(6186,1)}
5573:{1,4,7}:{(4880,1),(4997,1),(5012,1),(6188,1)}
5574:{1,4,6,7}:{(4881,1),(4990,1),(4999,1),(5002,1),(5965,1),(6121,1),(6150,1)}
5575:{1,4,7}:{(4882,1),(5001,1),(5055,1),(6152,1),(6189,1)}
5576:{1,4,6,7}:{(4883,1),(5003,1),(5005,1),(5074,1),(5896,1),(6126,1),(6131,1),(6132,1),(6190,1),(6976,1),(6980,1),(7907,1),(7909,1),(8480,1)}
5577:{1,4,7}:{(4884,1),(5004,1),(5075,1),(6155,1),(6191,1)}
5578:{1,4,6}:{(4886,1),(5007,1),(5079,1),(6134,1),(6138,1),(6832,1),(7796,1),(7902,1),(7935,1),(9445,1)}
5579:{1,4,7}:{(4887,1),(5007,1),(5080,1),(6137,1),(7902,1)}
5580:{1,3,5,7}:{(4888,1),(4988,1),(5027,1),(6036,1),(6040,1),(6114,1),(6140,1),(6143,1),(6853,1),(6987,1),(8007,1)}
5581:{1,3,5}:{(4868,1),(4965,1),(5028,1),(5763,1),(5766,1),(6134,1),(8041,1),(9072,1),(9143,1)}
5582:{1,3,5,6}:{(4889,1),(4986,1),(5010,1),(5011,1),(6039,1),(6122,1),(6125,1),(6131,1),(7189,1),(7766,1),(7884,1),(8106,1)}
5583:{1,3,5,6}:{(4891,1),(4989,1),(5008,1),(5017,1),(6132,1),(6143,1),(6144,1),(7757,1),(8540,1)}
5584:{1,3,5,7}:{(4890,1),(4987,1),(5009,1),(5022,1),(6036,1),(6041,1),(6124,1),(6133,1),(6853,1),(6973,1),(7172,1),(7249,1),(7732,1),(8004,1),(8026,1),(8037,1),(8040,1),(8771,1)}
5585:{1,3,6,7}:{(4892,1),(4990,1),(5011,1),(5012,1),(6123,1),(6135,1),(7773,1),(8040,1)}
5586:{1,3,4,5}:{(4894,1),(4996,1),(5023,1),(6019,1),(6029,1),(6049,1),(6143,1),(6146,1),(6149,1),(6203,1),(6980,1),(7116,1),(7124,1),(7170,1),(7183,1),(7232,1),(7926,1),(7960,1),(8043,1)}
5587:{1,3,6}:{(4897,1),(4999,1),(5021,1),(6039,1),(6864,1),(6869,1),(8106,1)}
5588:{1,3,6,7}:{(4898,1),(5000,1),(5017,1),(5018,1),(6039,1),(6152,1),(7004,1),(7781,1),(7880,1),(8106,1)}
5589:{1,3,6}:{(4899,1),(5001,1),(5020,1),(6144,1),(6152,1)}
5590:{1,3,5,7}:{(4900,1),(5002,1),(5019,1),(6036,1),(6041,1),(6150,1),(6156,1),(6855,1),(7004,1),(8004,1),(8040,1)}
5591:{1,3,5}:{(4901,1),(4993,1),(5024,1),(6151,1),(6160,1)}
5592:{1,3,4,6}:{(4902,1),(5003,1),(5017,1),(5025,1),(5906,1),(6132,1),(6143,1),(6157,1),(6206,1),(6980,1),(7083,1),(7124,1),(7126,1),(7170,1),(7960,1),(8540,1),(9136,1)}
5593:{1,3,6}:{(4903,1),(5004,1),(5024,1),(6146,1),(6155,1),(8529,1)}
5594:{1,3,4,7}:{(4904,1),(5005,1),(5018,1),(5023,1),(6046,1),(6155,1),(6158,1),(6208,1),(7245,1),(7820,1),(8524,1),(8594,1)}
5595:{1,3,4,6}:{(4905,1),(4997,1),(5019,1),(5026,1),(5907,1),(6013,1),(6151,1),(6156,1),(6209,1),(6838,1),(7087,1)}
5596:{1,3,4,5,7}:{(4906,1),(4998,1),(5021,1),(5025,1),(5026,1),(5899,1),(5902,1),(5911,1),(5912,1),(6114,1),(6143,1),(6153,1),(6156,1),(6210,1),(6807,1),(6821,1),(6871,1),(6979,1),(6980,1),(6987,1),(6997,1),(7004,1),(7124,1),(7170,1),(7185,1),(7767,1),(7771,1),(7903,1),(7907,1),(7909,1),(7912,1),(7932,1),(7960,1),(8040,1),(8041,1),(8068,1),(8512,1),(8526,1),(8541,1),(8643,1),(8675,1),(8679,1),(9231,1)}
5597:{1,3,4,7}:{(4885,1),(4982,1),(5028,1),(5085,1),(5779,1),(5781,1),(6138,1),(6141,1),(7773,1),(8040,1),(8517,1),(8597,1)}
5598:{1,4,6}:{(4907,1),(5029,1),(5086,1),(6017,1),(6019,1),(6149,1),(6158,1),(6830,1),(7102,1),(7170,1)}
5599:{1,4,7}:{(4908,1),(5029,1),(5087,1),(6157,1),(6159,1),(7170,1)}
5600:{1,2,5}:{(4965,1),(5047,1),(5107,1),(5109,1),(5860,1),(5861,1),(6109,1),(7173,1),(9043,1),(9072,1)}
5601:{1,2,5,6,7}:{(4909,1),(4966,1),(5030,1),(5032,1),(5038,1),(5917,1),(5918,1),(6007,1),(6053,1),(6057,1),(6084,1),(6225,1),(6226,1),(6954,1),(6957,1),(7016,1),(7018,1),(7128,1),(7131,1),(7172,1),(7213,1),(7219,1),(7745,1),(8026,1),(8045,1),(8087,1),(8097,1)}
5602:{1,2,5}:{(4910,1),(4967,1),(5041,1),(6061,1),(6085,1),(6163,1),(7132,1)}
5603:{2,5}:{(4968,1),(5048,1),(6166,1)}
5604:{1,2,4,6,7}:{(4850,1),(5031,1),(5034,1),(5122,1),(5124,1),(5795,1),(5797,1),(5875,1),(5877,1),(6018,1),(6086,1),(6123,1),(7050,1),(7052,1),(7129,1),(7162,1),(7182,1),(7917,1),(8098,1),(8652,1)}
5605:{1,2,4,5,7}:{(4851,1),(5032,1),(5035,1),(5123,1),(5124,1),(6016,1),(6060,1),(6087,1),(6113,1),(6124,1),(6218,1),(7180,1),(7208,1),(7218,1),(7249,1),(7917,1)}
5606:{1,2,4,5,6}:{(4852,1),(5030,1),(5034,1),(5036,1),(5787,1),(5789,1),(5867,1),(5869,1),(6009,1),(6015,1),(6059,1),(6088,1),(6112,1),(6125,1),(6786,1),(6789,1),(6844,1),(6886,1),(6887,1),(7035,1),(7042,1),(7043,1),(7130,1),(7164,1),(7168,1),(7173,1),(7179,1),(7206,1),(7217,1),(7716,1),(7816,1),(7861,1),(7864,1),(7918,1),(7982,1),(7984,1),(7986,1),(8099,1),(8542,1),(8556,1),(8609,1),(8618,1),(8642,1),(8655,1),(9128,1),(9506,1)}
5607:{1,2,4,5,6}:{(4911,1),(4969,1),(5033,1),(5040,1),(5868,1),(5870,1),(5923,1),(5925,1),(6017,1),(6062,1),(6089,1),(6108,1),(6116,1),(6170,1),(6181,1),(6774,1),(6779,1),(6848,1),(6888,1),(6889,1),(6982,1),(7036,1),(7037,1),(7132,1),(7163,1),(7166,1),(7181,1),(7186,1),(7207,1),(7222,1),(7712,1),(7762,1),(7763,1),(7815,1),(7863,1),(7866,1),(7904,1),(7929,1),(7962,1),(7963,1),(7983,1),(7985,1),(7988,1),(7991,1),(8028,1),(8046,1),(8066,1),(8079,1),(8101,1),(8551,1),(8587,1),(8603,1),(8605,1),(8607,1),(8619,1),(8643,1),(8644,1),(8656,1),(8781,1),(9046,1),(9186,1),(9205,1),(9444,1),(9509,1)}
5608:{1,2,5,7}:{(4912,1),(4970,1),(5033,1),(5039,1),(5915,1),(6090,1),(6105,1),(6173,1),(7021,1),(7131,1),(7184,1)}
5609:{1,2,5,6}:{(4913,1),(4971,1),(5037,1),(5042,1),(5921,1),(5922,1),(6092,1),(6167,1),(6168,1),(7017,1)}
5610:{1,2,5,7}:{(4914,1),(4972,1),(5037,1),(5044,1),(6091,1),(6164,1),(6167,1)}
5611:{1,2,4,5}:{(4915,1),(4973,1),(5037,1),(5043,1),(5924,1),(6019,1),(6094,1),(6166,1),(6176,1),(6183,1),(6847,1),(6984,1),(7183,1),(7232,1),(7869,1),(7927,1),(7993,1)}
5612:{1,2,4,7}:{(4921,1),(4976,1),(5040,1),(5056,1),(5876,1),(5878,1),(6095,1),(6120,1),(6189,1),(6799,1),(6801,1),(7199,1),(7779,1),(7780,1),(8514,1)}
5613:{1,2,4,6}:{(4918,1),(4977,1),(5045,1),(5060,1),(5937,1),(6096,1),(6162,1),(6167,1),(6186,1),(6886,1),(6888,1),(7017,1),(7100,1),(7102,1),(7168,1),(7204,1),(7743,1),(7795,1),(7984,1),(7985,1),(8046,1),(8050,1),(8599,1),(9106,1)}
5614:{1,2,4,7}:{(4919,1),(4978,1),(5042,1),(5059,1),(5940,1),(6100,1),(6168,1),(6188,1),(7104,1),(7131,1)}
5615:{1,2,4,6,7}:{(4922,1),(4979,1),(5041,1),(5044,1),(5061,1),(5934,1),(6097,1),(6167,1),(6169,1),(6173,1),(6177,1),(6190,1),(7037,1),(7041,1),(7102,1),(7103,1),(7131,1),(7137,1),(7204,1),(7205,1),(7206,1),(7207,1),(8046,1),(8050,1)}
5616:{1,2,4,6}:{(4920,1),(4975,1),(5046,1),(5062,1),(5947,1),(6098,1),(6175,1),(6187,1),(7087,1)}
5617:{1,2,4,7}:{(4923,1),(4980,1),(5043,1),(5063,1),(6099,1),(6178,1),(6191,1),(7245,1),(8505,1),(8511,1)}
5618:{1,2,4,6,7}:{(4982,1),(5047,1),(5081,1),(5110,1),(5112,1),(5879,1),(5880,1),(5939,1),(5942,1),(6104,1),(6119,1),(6161,1),(7016,1),(7017,1),(7162,1),(7182,1),(7227,1),(7796,1),(8098,1),(8660,1)}
5619:{2,4,6}:{(4981,1),(5049,1),(5082,1),(5945,1),(6163,1),(7102,1)}
5620:{2,4,7}:{(4983,1),(5048,1),(5083,1),(6164,1),(6178,1),(8505,1)}
5621:{4,6}:{(5050,1),(5084,1),(6019,1),(6166,1),(6178,1),(6847,1)}
5622:{1,2,5,6}:{(4927,1),(4986,1),(5053,1),(5057,1),(5953,1),(6112,1),(6125,1),(6167,1),(7217,1),(8106,1)}
5623:{1,2,5,7}:{(4928,1),(4987,1),(5052,1),(5068,1),(5917,1),(6113,1),(6124,1),(6970,1),(6973,1),(7172,1),(7249,1),(8004,1),(8026,1),(8771,1)}
5624:{1,2,5,6}:{(4929,1),(4989,1),(5051,1),(5065,1),(5954,1),(6116,1),(6180,1),(7036,1),(8079,1),(9046,1)}
5625:{1,2,6,7}:{(4930,1),(4990,1),(5057,1),(5058,1),(5966,1),(6104,1),(6123,1),(7016,1),(8098,1)}
5626:{1,2,6,7}:{(4916,1),(4994,1),(5059,1),(5060,1),(5957,1),(5982,1),(7131,1)}
5627:{1,2,5,7}:{(4917,1),(4995,1),(5059,1),(5062,1),(5955,1),(5984,1),(6175,1),(8004,1)}
5628:{1,2,5}:{(4931,1),(4996,1),(5069,1),(6061,1),(6176,1),(7869,1)}
5629:{1,2,6}:{(4932,1),(4997,1),(5064,1),(6188,1)}
5630:{1,2,5,7}:{(4933,1),(4998,1),(5064,1),(5070,1),(5962,1),(6180,1),(6186,1),(6188,1),(6193,1),(7053,1),(7214,1),(7976,1),(8545,1)}
5631:{1,2,5}:{(4934,1),(4993,1),(5071,1),(6187,1),(6194,1)}
5632:{1,2,6,7}:{(4935,1),(5000,1),(5065,1),(5066,1),(5964,1),(6106,1),(6167,1),(6189,1),(7015,1),(7779,1)}
5633:{1,2,6}:{(4936,1),(5001,1),(5067,1),(5893,1),(5894,1),(6189,1),(7222,1)}
5634:{1,2,6}:{(4937,1),(5003,1),(5070,1),(6180,1)}
5635:{1,2,6}:{(4938,1),(5004,1),(5071,1),(6183,1),(6191,1)}
5636:{1,2,7}:{(4939,1),(5005,1),(5069,1),(7131,1),(8505,1)}
5637:{1,2,4}:{(4941,1),(5007,1),(5064,1),(6005,1)}
5638:{1,2,3,5,7}:{(4942,1),(5008,1),(5051,1),(5088,1),(5972,1),(6043,1),(6090,1),(6115,1),(6144,1),(6173,1),(6197,1),(6937,1),(7040,1),(7065,1),(7157,1),(7222,1),(7994,1),(8056,1),(8594,1),(8627,1),(9110,1),(9488,1)}
5639:{1,2,3,5,6}:{(4943,1),(5009,1),(5052,1),(5073,1),(5089,1),(5825,1),(5826,1),(6044,1),(6092,1),(6117,1),(6184,1),(6195,1),(6198,1),(6887,1),(6920,1),(6991,1),(6993,1),(7042,1),(7159,1),(7769,1),(7954,1),(7982,1),(7984,1),(8054,1),(8762,1),(9456,1)}
5640:{1,2,3,5,7}:{(4944,1),(5010,1),(5053,1),(5073,1),(5091,1),(5971,1),(6045,1),(6091,1),(6118,1),(6180,1),(6185,1),(6196,1),(6935,1),(7039,1),(7124,1),(7160,1),(7213,1),(7769,1),(8040,1),(8054,1)}
5641:{1,2,3,5}:{(4945,1),(4991,1),(5093,1),(6136,1),(6146,1),(6183,1),(7243,1),(8739,1)}
5642:{1,2,3,5,7}:{(4946,1),(4992,1),(5092,1),(5125,1),(5127,1),(5901,1),(5902,1),(5959,1),(5961,1),(6139,1),(6199,1),(6233,1),(6808,1),(6819,1),(7173,1),(7249,1),(7760,1),(7769,1)}
5643:{1,2,3,5,7}:{(5013,1),(5054,1),(5078,1),(5081,1),(5116,1),(5117,1),(5986,1),(6047,1),(6119,1),(6161,1),(6233,1),(6930,1),(6948,1),(7118,1),(7213,1),(7249,1),(7725,1),(8040,1)}
5644:{2,3,5,7}:{(5014,1),(5056,1),(5076,1),(5077,1),(5988,1),(6095,1),(6105,1),(6120,1),(7031,1),(7119,1)}
5645:{1,2,3,6}:{(4949,1),(5011,1),(5057,1),(5080,1),(5992,1),(6137,1),(6186,1)}
5646:{1,2,3,5,7}:{(4950,1),(5012,1),(5058,1),(5079,1),(5085,1),(5995,1),(6138,1),(6141,1),(6188,1),(6202,1),(6233,1),(6930,1),(7053,1),(7092,1),(7172,1),(7213,1),(7221,1),(7249,1),(7773,1),(7976,1),(8040,1)}
5647:{2,3,6,7}:{(5015,1),(5061,1),(5082,1),(5083,1),(5980,1),(5989,1),(6177,1),(7882,1),(7890,1),(7892,1),(8046,1),(9406,1)}
5648:{2,3,5,7}:{(5016,1),(5063,1),(5083,1),(5084,1),(5985,1),(5990,1),(6099,1),(6164,1),(6178,1),(6947,1),(7030,1),(7150,1),(7727,1),(8505,1)}
5649:{1,2,3,6}:{(4955,1),(5017,1),(5065,1),(5087,1),(5993,1),(6157,1),(7078,1),(8079,1)}
5650:{1,2,3,5,7}:{(4956,1),(5018,1),(5066,1),(5086,1),(5997,1),(6042,1),(6090,1),(6091,1),(6158,1),(6204,1),(6208,1),(6931,1),(7093,1),(7184,1),(7240,1),(7994,1),(8594,1)}
5651:{1,2,3,5}:{(4957,1),(5020,1),(5067,1),(5899,1),(5900,1),(5999,1),(6001,1),(6144,1),(6159,1),(6205,1),(6810,1),(6815,1),(7186,1),(7222,1)}
5652:{1,2,3,6,7}:{(4954,1),(5022,1),(5068,1),(5085,1),(5089,1),(5831,1),(5834,1),(6047,1),(6100,1),(6188,1),(6198,1),(6233,1),(6941,1),(7002,1),(7003,1),(7052,1),(7121,1),(7131,1),(7152,1),(7219,1),(7242,1),(8040,1),(8058,1),(8112,1)}
5653:{1,2,3,6}:{(4958,1),(5023,1),(5069,1),(5090,1),(6076,1),(6203,1),(6208,1),(6213,1),(7894,1),(8549,1)}
5654:{1,2,3,7}:{(4959,1),(5025,1),(5070,1),(5090,1),(5999,1),(6173,1),(6206,1),(6214,1),(7157,1),(7222,1),(8594,1)}
5655:{1,2,3}:{(4960,1),(5024,1),(5071,1),(6215,1)}
5656:{1,2,3,5}:{(4961,1),(5026,1),(5064,1),(5090,1),(6003,1),(6004,1),(6061,1),(6209,1),(6904,1)}
5657:{1,2,3,4,6}:{(4940,1),(5028,1),(5047,1),(5089,1),(5094,1),(5777,1),(5778,1),(5843,1),(5844,1),(6052,1),(6117,1),(6137,1),(6192,1),(6195,1),(6228,1),(6759,1),(6772,1),(6832,1),(6886,1),(6887,1),(7010,1),(7011,1),(7057,1),(7080,1),(7089,1),(7102,1),(7125,1),(7159,1),(7206,1),(7716,1),(7796,1),(7841,1),(7895,1),(7902,1),(7935,1),(7954,1),(7982,1),(7984,1),(8075,1),(8537,1),(8545,1),(8550,1),(8556,1),(8630,1),(8634,1),(8660,2),(9086,1),(9097,1)}
5658:{1,2,3,6,7}:{(4962,1),(5006,1),(5092,1),(5093,1),(5904,1),(5906,1),(5969,1),(5970,1),(6155,1),(6191,1),(6199,1),(6201,1),(6233,1),(7002,1),(7003,1),(7050,1),(7052,1),(7189,1),(7217,1)}
5659:{1,2,4}:{(4963,1),(5029,1),(5090,1),(6006,1),(6062,1),(6215,1)}
5660:{6}:{(5095,1)}
5661:{3,6}:{(5096,1),(6008,1),(6104,1)}
5662:{1,4,6}:{(5097,1),(6020,1),(6226,1),(7096,1),(9445,1)}
5663:{1,2,4,5}:{(5100,1),(5108,1),(6012,1),(6219,1),(7130,1),(7164,1),(7176,1),(7861,1),(7918,1),(8099,1)}
5664:{4,5}:{(5098,1),(5107,1),(6220,1)}
5665:{4,5}:{(5099,1),(5109,1),(6832,1),(7716,1)}
5666:{4,7}:{(5098,1),(5116,1)}
5667:{4,7}:{(5099,1),(5117,1)}
5668:{1,2,4,6,7}:{(5100,1),(5118,1),(6016,1),(6216,1),(6222,1),(7096,1),(7135,1),(7169,1),(7180,1),(7208,1),(7796,1),(7855,1),(7917,1),(7972,1),(8072,1),(8091,1),(8479,1),(8496,1),(8515,1),(8652,1),(8660,1),(8750,1),(9097,1)}
5669:{3,4,6}:{(5098,1),(5104,1),(5114,1),(6220,1),(6224,1),(6228,1),(7248,1)}
5670:{3,4,6}:{(5099,1),(5106,1),(5115,1),(6221,1),(6223,1),(6229,1),(6844,1),(7714,1),(7716,1),(7954,1),(8479,1),(8537,1)}
5671:{2,3,4,6}:{(5100,1),(5105,1),(5113,1),(6032,1),(6219,1),(7125,1),(7159,1),(7895,1),(7954,1),(8537,1)}
5672:{2,3,5,7}:{(5096,1),(5109,1),(5110,1),(6007,1),(6055,1),(6161,1),(6217,1),(6227,1),(6852,1),(6853,1),(6878,1),(7107,1),(7118,1),(7836,1),(7837,1),(8026,1),(8580,1),(9043,1)}
5673:{2,5,7}:{(5095,1),(5107,1),(5112,1),(6007,1),(6218,1),(6225,1)}
5674:{1,2,5,7}:{(5097,1),(5108,1),(5111,1),(6068,1),(6226,1),(7172,1),(7249,1)}
5675:{2,3,5,7}:{(5101,1),(5115,1),(5122,1),(6047,1),(6079,1),(6086,1),(6223,1),(6854,1),(6856,1),(6948,1),(7107,1),(7118,1),(7847,1),(7848,1),(8040,1),(8673,1),(9107,1)}
5676:{2,3,6,7}:{(5103,1),(5113,1),(5123,1),(6087,1),(7121,1),(7248,1),(7878,1)}
5677:{2,3,7}:{(5102,1),(5114,1),(5124,1),(6047,1),(6224,1)}
5678:{1,4,6,7}:{(5103,1),(5120,1),(6124,1),(6231,1),(7180,1),(8660,1),(9465,1)}
5679:{1,7}:{(5102,1),(5119,1)}
5680:{1,5,7}:{(5101,1),(5121,1),(6123,1),(6127,1)}
5681:{1,2,3,4,7}:{(5105,1),(5126,1),(6136,1),(6230,1),(7180,1),(7197,1),(7225,1),(7243,1),(8112,1),(8744,1)}
5682:{1,4}:{(5104,1),(5127,1)}
5683:{1,4}:{(5106,1),(5125,1)}
5684:{1,2,3,6}:{(5113,1),(5120,1),(5126,1),(7189,1),(7217,1),(9221,1)}
5685:{1,2,3,6}:{(5114,1),(5119,1),(5127,1),(6151,1),(6187,1),(6228,1),(6233,1)}
5686:{1,2,3,5,6}:{(5115,1),(5121,1),(5125,1),(6151,1),(6187,1),(6199,1),(6229,1),(6232,1),(6991,1),(6993,1),(7042,1),(7043,1),(7089,1),(7173,1),(7187,1),(7215,1),(7760,1),(7769,1),(7954,1),(7957,1),(7982,1),(7984,1),(8071,1),(8078,1),(8098,1)}
5687:{1,3,4,6,7}:{(5139,1),(5187,1),(5302,1),(5310,1),(5316,1),(6268,1),(6325,1),(6410,1),(6430,1),(6440,1),(6596,1),(6668,1),(7281,1),(7480,1),(7591,1),(7600,1),(7607,1),(7662,1),(7703,1),(7704,1),(8121,1),(8209,1),(8224,1),(8323,1),(8392,1),(8454,1),(8832,1),(8843,1),(8945,1)}
5688:{3,6,7}:{(5141,1),(5302,1),(5319,1),(6412,1)}
5689:{5,6,7}:{(5135,1),(5313,1),(5318,1),(6406,1),(6411,1),(8789,1)}
5690:{6,7}:{(5143,1),(5318,1)}
5691:{4,7}:{(5136,1),(5309,1),(6281,1)}
5692:{1,3,5,7}:{(5137,1),(5185,1),(5303,1),(5312,1),(6322,1),(6409,1),(6438,1),(6592,1),(6663,1),(8935,1)}
5693:{1,4,6,7}:{(5132,1),(5187,1),(5308,1),(5317,1),(6273,1),(6413,1),(6570,1),(7703,1),(7704,1)}
5694:{3,5,6,7}:{(5130,1),(5301,1),(5314,1),(5319,1),(6323,1),(6407,1),(6412,1),(6592,1),(6596,1),(8888,1)}
5695:{1,4,5,6,7}:{(5131,1),(5186,1),(5310,1),(5315,1),(5317,1),(6280,1),(6408,1),(6413,1),(6430,1),(6441,1),(6663,1),(6668,1),(7286,1),(7439,1),(7639,1),(7642,1),(7647,1),(7648,1),(7703,1),(7704,1),(8122,1),(8197,1),(8277,1),(8285,1),(8289,1),(8353,1),(8447,1),(8795,1),(8830,1),(8932,1)}
5696:{1,3,7}:{(5142,1),(5184,1),(5300,1),(6324,1),(6439,1)}
5697:{4,5,7}:{(5138,1),(5311,1),(5313,1),(6275,1),(6406,1),(6433,1)}
5698:{1,3,4,5,6,7}:{(5133,1),(5186,1),(5301,1),(5308,1),(5312,1),(5316,1),(6270,1),(6323,1),(6409,1),(6410,1),(6431,1),(6441,1),(6570,1),(6592,1),(6596,1),(6663,1),(6668,1),(7269,1),(7296,1),(7319,1),(7331,1),(7360,1),(7366,1),(7370,1),(7436,1),(7445,1),(7449,1),(7467,1),(7469,1),(7480,1),(7494,1),(7588,1),(7591,1),(7600,1),(7603,1),(7607,1),(7639,1),(7642,1),(7647,1),(7648,1),(7651,1),(7661,1),(7662,1),(7703,1),(7704,1),(8124,1),(8155,1),(8162,1),(8182,1),(8196,1),(8197,1),(8200,1),(8204,1),(8209,1),(8224,1),(8225,1),(8230,1),(8280,1),(8281,1),(8285,1),(8289,1),(8296,1),(8311,2),(8314,1),(8323,1),(8324,1),(8353,1),(8392,1),(8417,1),(8420,1),(8422,1),(8424,1),(8425,1),(8447,1),(8449,1),(8454,1),(8455,1),(8797,1),(8800,1),(8801,1),(8822,1),(8828,1),(8835,1),(8836,1),(8839,1),(8842,1),(8845,1),(8886,1),(8888,1),(8925,1),(8929,1),(8932,2),(8935,1),(8936,1),(8944,1),(8945,2),(8948,1),(8960,1),(9021,1),(9024,1),(9034,1),(9271,1),(9274,1),(9276,1)}
5699:{1,7}:{(5128,1),(5184,1)}
5700:{3,4,7}:{(5134,1),(5300,1),(5311,1),(6277,1),(6324,1),(6433,1)}
5701:{1,5,7}:{(5129,1),(5185,1),(5315,1),(6438,1)}
5702:{3,4,5,7}:{(5140,1),(5303,1),(5309,1),(5314,1),(6266,1),(6322,1),(6407,1),(6432,1),(6570,1),(6592,1),(7277,1),(7285,1),(7318,1),(7329,1),(7367,1),(7588,1)}
5703:{1,2,4,7}:{(5148,1),(5227,1),(5293,1),(5363,1),(6239,1),(6261,1),(6346,1),(6658,1),(7387,1),(7406,1),(7535,1),(7642,1),(8256,1),(8359,1)}
5704:{1,4}:{(5153,1),(5225,1),(6240,1)}
5705:{1,2,4,7}:{(5146,1),(5226,1),(5292,1),(5363,1),(6243,1),(6257,1),(6349,1),(7385,1),(7532,1),(8348,1),(8360,1)}
5706:{2,4,5}:{(5159,1),(5294,1),(5353,1),(6245,1),(6255,1),(6487,1),(7351,1),(9325,1)}
5707:{1,4}:{(5154,1),(5224,1),(6248,1)}
5708:{1,2,4,7}:{(5147,1),(5226,1),(5293,1),(5362,1),(6249,1),(6254,1),(6346,1),(6576,1),(7387,1),(7535,1),(7655,1),(8176,1),(8359,1),(8419,1),(8991,1)}
5709:{4,5,7}:{(5149,1),(5352,1),(5361,1),(6247,1),(6250,1),(6486,1),(6507,1),(7289,1),(7348,1),(8126,1)}
5710:{1,4}:{(5151,1),(5225,1),(6234,1),(9247,1),(9519,1)}
5711:{2,4,5}:{(5156,1),(5294,1),(5355,1),(6258,1),(6574,1),(7323,1)}
5712:{1,4}:{(5157,1),(5224,1),(6246,1),(6574,1),(9245,1)}
5713:{4,5,7}:{(5144,1),(5354,1),(5361,1),(6242,1),(6252,1),(6489,1),(6507,1)}
5714:{2,4,5}:{(5155,1),(5295,1),(5355,1),(6238,1),(6259,1),(6348,1),(7405,1),(8147,1)}
5715:{1,2,4,7}:{(5145,1),(5227,1),(5292,1),(5362,1),(6244,1),(6251,1),(6349,1),(6574,1),(6576,1),(6658,1),(7354,1),(7385,1),(7462,1),(7532,1),(7588,1),(7617,1),(7642,1),(7646,1),(7655,1),(7673,1),(8138,1),(8296,1),(8360,1),(8419,1),(9248,1)}
5716:{2,4,5}:{(5158,1),(5295,1),(5353,1),(6263,1),(6348,1),(6487,1)}
5717:{4,5,7}:{(5152,1),(5354,1),(5360,1),(6262,1),(6489,1),(6508,1),(6574,1),(6576,1),(7323,1),(7354,1),(7584,1),(7588,1),(8208,1),(8419,1)}
5718:{4,5,7}:{(5150,1),(5352,1),(5360,1),(6256,1),(6486,1),(6508,1),(6576,1),(7294,1),(7584,1)}
5719:{1,2,3,5,6}:{(5133,1),(5145,1),(5248,1),(5373,1),(5409,1),(6251,1),(6382,1),(6475,1),(6525,1),(6612,1),(6634,1),(6638,1),(6710,1),(6715,1),(7262,1),(7306,1),(7380,1),(7398,1),(7430,1),(7513,1),(7525,1),(7528,1),(7545,1),(7584,1),(7606,1),(7630,1),(7632,1),(7668,1),(7684,1),(7693,1),(8239,1),(8265,1),(8361,1),(8402,1),(8406,1),(8428,1),(8441,1),(8450,1),(8469,1),(8877,1),(8882,1),(8907,1),(8976,1),(8984,1)}
5720:{1,2,6}:{(5128,1),(5151,1),(5249,1),(6264,1),(6276,1),(8137,1),(8805,1)}
5721:{1,2,5,6}:{(5129,1),(5154,1),(5250,1),(5408,1),(6265,1),(6267,1),(6474,1),(6522,1),(7524,1),(8353,1),(9278,1)}
5722:{2,3,6}:{(5134,1),(5158,1),(5372,1),(6263,1),(6277,1)}
5723:{2,3,5,6}:{(5140,1),(5156,1),(5375,1),(5411,1),(6258,1),(6266,1),(6383,1),(6476,1),(6612,1),(7382,1),(7397,1),(8266,1)}
5724:{2,5,6}:{(5135,1),(5144,1),(5410,1),(6252,1),(6696,1),(7504,1)}
5725:{1,2,3,6}:{(5142,1),(5153,1),(5249,1),(5372,1),(6253,1),(6271,1),(6385,1),(6524,1),(7311,1)}
5726:{2,5,6}:{(5138,1),(5155,1),(5410,1),(6259,1),(6275,1),(8147,1),(8810,1)}
5727:{1,2,5,6}:{(5131,1),(5148,1),(5248,1),(5408,1),(6261,1),(6474,1),(6525,1),(6715,1),(7525,1),(7668,1),(8135,1),(8361,1)}
5728:{1,2,3,5,6}:{(5137,1),(5157,1),(5250,1),(5375,1),(5409,1),(6260,1),(6279,1),(6383,1),(6475,1),(6522,1),(6634,1),(6710,1),(7267,1),(7300,1),(7496,1),(7524,1),(7545,1),(7606,1),(8162,1),(8353,1)}
5729:{1,2,6}:{(5132,1),(5146,1),(5251,1),(6612,1),(8239,1)}
5730:{2,6}:{(5136,1),(5159,1),(6281,1)}
5731:{1,2,3,6}:{(5139,1),(5147,1),(5251,1),(5374,1),(6254,1),(6384,1),(6523,1),(6638,1),(6715,1),(7632,1),(8134,1),(8881,1),(8981,1)}
5732:{2,3,6}:{(5141,1),(5150,1),(5374,1),(6256,1),(6696,1),(7627,1)}
5733:{2,6}:{(5143,1),(5149,1),(6250,1)}
5734:{2,3,5,6}:{(5130,1),(5152,1),(5373,1),(5411,1),(6262,1),(6382,1),(6476,1),(6638,1),(6696,1),(7254,1),(7424,1),(7504,1),(7584,1),(7627,1),(8200,1)}
5735:{4,5,7}:{(5162,1),(5165,1),(5206,1),(6285,1),(6293,1),(6337,1),(7336,1)}
5736:{4,5,7}:{(5163,1),(5167,1),(5205,1),(6291,1)}
5737:{4,5,7}:{(5161,1),(5166,1),(5207,1),(6283,1),(6292,1)}
5738:{4,5,7}:{(5160,1),(5164,1),(5204,1),(6290,1),(6335,1),(7294,1),(7338,1),(9557,1)}
5739:{4,6}:{(5170,1),(5231,1)}
5740:{4,5,6}:{(5169,1),(5230,1),(5438,1),(6288,1),(6568,1),(6572,1),(7340,1),(7584,1),(7592,1),(8208,1),(8419,1)}
5741:{4,5,6}:{(5168,1),(5229,1),(5438,1),(6289,1),(6344,1),(6568,1),(7504,1),(7584,1)}
5742:{4,6}:{(5171,1),(5228,1),(6342,1),(7377,1)}
5743:{4,5}:{(5245,1),(5441,1),(6287,1),(6574,1),(8432,1)}
5744:{4}:{(5246,1)}
5745:{4}:{(5244,1),(6346,1)}
5746:{4,5}:{(5247,1),(5441,1),(6286,1),(6348,1)}
5747:{3,5,6}:{(5160,1),(5174,1),(5176,1),(6290,1),(6434,1),(6580,1)}
5748:{3,5,6}:{(5161,1),(5173,1),(5178,1),(6292,1),(6297,1),(6435,1),(8206,1)}
5749:{3,5,6}:{(5163,1),(5175,1),(5177,1),(6291,1),(6437,1),(6580,1)}
5750:{3,5,6}:{(5162,1),(5172,1),(5179,1),(6293,1),(6294,1),(6436,1),(8207,1),(8789,1),(8950,1)}
5751:{3,4,6,7}:{(5164,1),(5176,1),(5450,1),(5455,1),(6290,1),(6325,1),(6364,1),(6440,1),(7328,1),(7338,1),(8323,1)}
5752:{3,7}:{(5165,1),(5179,1),(6439,1)}
5753:{3,4,6,7}:{(5167,1),(5177,1),(5450,1),(5455,1),(6291,1),(6323,1),(6365,1),(6441,1),(7331,1),(7337,1)}
5754:{3,7}:{(5166,1),(5178,1),(6438,1)}
5755:{3,4,5,7}:{(5170,1),(5173,1),(5183,1),(6292,1),(6297,1),(6298,1),(6305,1),(6320,1),(6358,1),(6444,1),(7329,1),(7339,1),(7341,1),(7355,1),(7389,1),(8206,1)}
5756:{3,4,5,7}:{(5169,1),(5175,1),(5181,1),(6291,1),(6295,1),(6299,1),(6304,1),(6319,1),(6359,1),(6442,1),(7331,1),(7337,1),(7349,1),(7352,1),(7421,1),(8803,1),(9262,1),(9555,1)}
5757:{3,4,5,7}:{(5168,1),(5174,1),(5180,1),(6290,1),(6296,1),(6301,1),(6302,1),(6321,1),(6361,1),(6443,1),(7328,1),(7338,1),(7348,1),(7354,1),(7422,1),(7489,1),(8122,1),(8323,1),(8336,1),(8339,1),(8838,1),(9020,1),(9322,1),(9339,1),(9557,1)}
5758:{3,4,5,7}:{(5171,1),(5172,1),(5182,1),(6293,1),(6294,1),(6300,1),(6303,1),(6318,1),(6360,1),(6445,1),(7330,1),(7336,1),(7343,1),(7353,1),(7388,1),(7490,1),(8118,1),(8207,1),(8321,1),(8328,1),(8340,1),(8950,1),(8962,1)}
5759:{3,5}:{(5194,1),(5272,1),(7490,1),(8207,1)}
5760:{3,5}:{(5192,1),(5275,1),(6301,1),(7489,1)}
5761:{3,5}:{(5195,1),(5273,1),(6299,1)}
5762:{3,5}:{(5193,1),(5274,1)}
5763:{3,5}:{(5197,1),(5269,1),(8197,1),(9523,1)}
5764:{3,5,6}:{(5196,1),(5268,1),(5474,1),(6316,1),(6451,1),(6595,1)}
5765:{3,5,6}:{(5199,1),(5270,1),(5474,1),(6314,1),(6453,1),(6595,1),(8233,1)}
5766:{3,5}:{(5198,1),(5271,1)}
5767:{3,6}:{(5188,1),(5278,1)}
5768:{3,6}:{(5191,1),(5277,1),(6324,1)}
5769:{3,6}:{(5189,1),(5279,1),(6322,1)}
5770:{3,6}:{(5190,1),(5276,1)}
5771:{3,6,7}:{(5192,1),(5280,1),(5481,1),(6321,1),(6598,1),(7489,1),(8323,1)}
5772:{3,4,7}:{(5193,1),(5283,1),(5478,1),(6320,1),(6322,1),(6388,1),(8234,1),(8846,1)}
5773:{3,4,7}:{(5194,1),(5281,1),(5478,1),(6318,1),(6324,1),(6386,1),(7353,1),(7490,1),(8321,1),(8846,1)}
5774:{3,6,7}:{(5195,1),(5282,1),(5481,1),(6319,1),(6598,1),(8233,1)}
5775:{3,4,6}:{(5202,1),(5254,1),(5287,1),(6287,1),(6308,1),(6464,1),(6595,1),(7586,1),(7601,1),(8220,1)}
5776:{3,4,6}:{(5201,1),(5255,1),(5285,1),(6286,1),(6306,1),(6392,1),(6462,1),(6595,1),(7320,1),(7586,1),(7590,1),(7601,1),(8233,1)}
5777:{3,4,6}:{(5200,1),(5252,1),(5284,1),(6289,1),(6307,1),(6390,1),(7322,1)}
5778:{3,4,6}:{(5203,1),(5253,1),(5286,1),(6288,1),(6309,1)}
5779:{3,4,7}:{(5197,1),(5259,1),(5291,1),(6315,1),(6402,1),(7271,1),(7327,1),(9523,1)}
5780:{3,4,7}:{(5199,1),(5256,1),(5289,1),(6314,1),(6405,1),(6468,1),(7324,1)}
5781:{3,4,7}:{(5198,1),(5257,1),(5290,1),(6317,1)}
5782:{3,4,7}:{(5196,1),(5258,1),(5288,1),(6316,1),(6469,1)}
5783:{3,4,7}:{(5188,1),(5293,1),(5486,1),(6239,1),(6301,1),(6331,1),(7489,1),(8323,1)}
5784:{3,4,7}:{(5190,1),(5292,1),(5486,1),(6243,1),(6299,1),(6330,1),(7489,1),(8234,1),(8323,1)}
5785:{3,4,5}:{(5191,1),(5295,1),(5485,1),(6238,1),(6333,1),(6472,1),(6593,1)}
5786:{3,4,5}:{(5189,1),(5294,1),(5485,1),(6245,1),(6332,1),(6473,1),(6593,1),(7351,1),(8333,1)}
5787:{2,4,5,6}:{(5163,1),(5211,1),(5218,1),(5487,1),(6336,1),(6341,1),(6356,1),(6572,1)}
5788:{2,5,6}:{(5162,1),(5210,1),(5217,1),(6337,1),(6339,1),(6342,1),(7377,1),(9325,1)}
5789:{2,5,6}:{(5160,1),(5208,1),(5216,1),(6335,1),(6340,1)}
5790:{2,4,5,6}:{(5161,1),(5209,1),(5219,1),(5487,1),(6334,1),(6338,1),(6345,1),(6354,1),(6572,1),(7379,1),(7614,1)}
5791:{2,5,7}:{(5171,1),(5210,1),(5221,1),(6342,1),(6348,1),(7386,1),(9325,1),(9515,1)}
5792:{2,5,7}:{(5168,1),(5208,1),(5220,1),(6344,1),(6346,1),(7387,1),(9339,1),(9557,1)}
5793:{2,4,5,7}:{(5170,1),(5209,1),(5222,1),(5491,1),(6345,1),(6347,1),(6358,1),(6613,1),(7384,1),(7614,1)}
5794:{2,4,5,7}:{(5169,1),(5211,1),(5223,1),(5491,1),(6343,1),(6349,1),(6359,1),(6613,1),(7385,1),(7616,1),(9555,1)}
5795:{2,4,6,7}:{(5167,1),(5214,1),(5218,1),(5497,1),(6336,1),(6365,1),(7385,1)}
5796:{2,4,7}:{(5165,1),(5215,1),(5217,1),(6337,1),(6353,1),(6363,1),(7336,1)}
5797:{2,4,6,7}:{(5164,1),(5212,1),(5216,1),(5497,1),(6335,1),(6364,1),(7338,1),(7387,1),(8256,1),(8815,1)}
5798:{2,4,7}:{(5166,1),(5213,1),(5219,1),(6350,1),(6362,1)}
5799:{2,4,6}:{(5226,1),(5251,1),(5446,1),(6340,1)}
5800:{4,6}:{(5224,1),(5250,1),(6338,1),(6350,1),(7322,1),(9245,1)}
5801:{2,4,6}:{(5227,1),(5248,1),(5446,1),(6341,1),(6572,1),(7322,1),(8138,1),(8419,1)}
5802:{4,6}:{(5225,1),(5249,1),(6339,1),(6353,1),(7377,1)}
5803:{3,5,6,7}:{(5204,1),(5229,1),(5237,1),(6282,1),(6290,1),(6371,1),(6516,1),(6566,1),(6579,1),(7361,1),(7593,1),(8197,1)}
5804:{3,5,6,7}:{(5206,1),(5228,1),(5236,1),(6285,1),(6293,1),(6372,1),(6514,1),(7369,1)}
5805:{2,3,5,6,7}:{(5205,1),(5230,1),(5239,1),(5447,1),(6284,1),(6291,1),(6373,1),(6515,1),(6566,1),(6579,1),(6610,1),(6619,1),(7360,1),(7371,1),(7376,1),(7391,1),(7409,1),(7499,1),(7593,1),(7610,1),(7618,1),(8154,1),(8156,1),(8197,1),(8200,1),(8239,1),(8420,1),(8436,1),(8800,1),(8890,1),(8903,1),(8910,1)}
5806:{2,3,5,6,7}:{(5207,1),(5231,1),(5238,1),(5447,1),(6283,1),(6292,1),(6370,1),(6517,1),(6610,1),(6619,1),(7368,1),(7394,1)}
5807:{2,3,5}:{(5175,1),(5211,1),(5241,1),(6304,1),(6519,1)}
5808:{2,3,5}:{(5172,1),(5210,1),(5242,1),(6303,1),(6518,1),(7490,1)}
5809:{2,3,5}:{(5174,1),(5208,1),(5243,1),(6302,1),(6521,1),(7489,1)}
5810:{2,3,5}:{(5173,1),(5209,1),(5240,1),(6305,1),(6520,1)}
5811:{2,3,6}:{(5176,1),(5216,1),(5233,1),(6523,1)}
5812:{2,3,6}:{(5179,1),(5217,1),(5232,1),(6363,1),(6369,1),(6524,1),(8137,1),(8805,1),(8871,1)}
5813:{2,3,6}:{(5178,1),(5219,1),(5235,1),(6362,1),(6368,1),(6522,1),(8134,1)}
5814:{2,3,6}:{(5177,1),(5218,1),(5234,1),(6525,1)}
5815:{2,3,7}:{(5183,1),(5222,1),(5240,1),(6529,1),(6628,1),(8134,1)}
5816:{2,3,6,7}:{(5181,1),(5223,1),(5241,1),(5515,1),(6359,1),(6528,1),(6624,1),(8144,1),(8806,1)}
5817:{2,3,6,7}:{(5180,1),(5220,1),(5243,1),(5515,1),(6361,1),(6527,1),(6624,1),(8146,1),(8815,1),(8873,1)}
5818:{2,3,7}:{(5182,1),(5221,1),(5242,1),(6526,1),(6628,1),(8137,1),(8871,1)}
5819:{3,4}:{(5224,1),(5235,1),(6248,1),(6531,1),(9245,1),(9523,1)}
5820:{2,3,4,7}:{(5227,1),(5234,1),(5466,1),(5519,1),(6239,1),(6304,1),(6366,1),(6533,1),(7337,1),(8138,1),(8877,1)}
5821:{3,4}:{(5225,1),(5232,1),(6234,1),(6303,1),(6532,1),(7490,1),(9247,1)}
5822:{2,3,4,7}:{(5226,1),(5233,1),(5466,1),(5519,1),(6243,1),(6302,1),(6367,1),(6530,1),(7338,1),(7489,1),(8145,1),(8323,1)}
5823:{3,5,6}:{(5247,1),(5255,1),(5332,1),(6286,1),(6372,1)}
5824:{2,3,5,6}:{(5245,1),(5254,1),(5335,1),(5467,1),(6287,1),(6308,1),(6311,1),(6370,1),(6612,1),(7382,1),(7397,1)}
5825:{2,3,5,6}:{(5246,1),(5253,1),(5333,1),(5467,1),(6288,1),(6309,1),(6313,1),(6373,1),(6612,1),(7260,1),(7360,1),(7380,1),(7398,1),(8239,1)}
5826:{3,5,6}:{(5244,1),(5252,1),(5334,1),(6289,1),(6307,1),(6371,1)}
5827:{2,3,6,7}:{(5187,1),(5212,1),(5251,1),(5530,1),(6273,1),(6352,1),(6607,1),(7387,1),(7427,1),(7619,1),(8237,1),(8239,1),(8815,1)}
5828:{2,3,5,6,7}:{(5186,1),(5214,1),(5248,1),(5529,1),(5530,1),(6280,1),(6351,1),(6365,1),(6607,1),(6608,1),(6619,1),(6626,1),(7280,1),(7376,1),(7387,1),(7390,1),(7410,1),(7427,1),(7610,1),(7618,1),(7619,1),(8154,1),(8197,1),(8237,2),(8239,1),(8246,1),(8436,1),(8807,1),(8889,1),(8916,1)}
5829:{2,3,7}:{(5184,1),(5215,1),(5249,1),(6276,1),(6353,1),(7282,1)}
5830:{2,3,5,7}:{(5185,1),(5213,1),(5250,1),(5529,1),(6267,1),(6350,1),(6362,1),(6608,1),(7271,1),(7389,1)}
5831:{3,6,7}:{(5252,1),(5259,1),(5336,1),(6371,1)}
5832:{2,3,6,7}:{(5254,1),(5258,1),(5338,1),(5476,1),(6322,1),(6329,1),(6370,1),(7275,1),(7368,1),(8240,1),(8846,1)}
5833:{3,6,7}:{(5255,1),(5256,1),(5337,1),(6324,1),(6372,1)}
5834:{2,3,6,7}:{(5253,1),(5257,1),(5339,1),(5476,1),(6323,1),(6328,1),(6373,1),(8239,1)}
5835:{2,3,6}:{(5192,1),(5261,1),(5343,1),(6375,1),(6396,1),(7489,1),(8146,1),(8410,1)}
5836:{2,3,6}:{(5193,1),(5260,1),(5341,1),(6374,1),(6388,1),(6628,1),(8233,1),(8412,1)}
5837:{2,3,6}:{(5195,1),(5263,1),(5340,1),(6376,1),(6395,1),(8233,1)}
5838:{2,3,6}:{(5194,1),(5262,1),(5342,1),(6377,1),(6386,1),(6628,1),(7490,1),(8412,1),(8871,1)}
5839:{2,3,5,7}:{(5188,1),(5261,1),(5345,1),(5538,1),(6235,1),(6249,1),(6375,1),(6384,1),(6647,1),(7256,1),(7489,1),(8258,1),(8323,1),(8325,1),(8410,1),(8870,1),(9003,1)}
5840:{2,3,5}:{(5191,1),(5262,1),(5346,1),(6240,1),(6385,1),(7252,1),(7490,1),(8328,1),(8871,1)}
5841:{2,3,5,7}:{(5190,1),(5263,1),(5347,1),(5538,1),(6241,1),(6244,1),(6376,1),(6382,1),(6647,1),(7262,1),(8426,1)}
5842:{2,3,5}:{(5189,1),(5260,1),(5344,1),(6246,1),(6383,1),(7267,1)}
5843:{2,3,6}:{(5197,1),(5264,1),(5348,1),(6380,1),(6402,1),(8134,1),(9523,1)}
5844:{2,3,4,6}:{(5198,1),(5267,1),(5350,1),(5536,1),(6379,1),(6404,1),(6577,1),(7424,1)}
5845:{2,3,4,6}:{(5196,1),(5266,1),(5351,1),(5536,1),(6378,1),(6401,1),(6403,1),(6552,1),(6577,1)}
5846:{2,3,6}:{(5199,1),(5265,1),(5349,1),(6398,1),(6405,1),(6551,1)}
5847:{3,4,7}:{(5261,1),(5352,1),(5541,1),(6247,1),(6396,1),(6555,1),(8126,1),(8840,1),(9323,1)}
5848:{3,4,7}:{(5263,1),(5354,1),(5541,1),(6242,1),(6395,1),(6557,1)}
5849:{2,3,4}:{(5262,1),(5353,1),(5485,1),(6245,1),(6556,1),(6628,1)}
5850:{2,3,4}:{(5260,1),(5355,1),(5485,1),(6238,1),(6554,1),(6628,1),(7405,1),(8412,1)}
5851:{2,3,4,7}:{(5203,1),(5267,1),(5357,1),(5537,1),(6246,1),(6349,1),(6391,1),(6574,1),(6576,1),(7277,1),(7355,1),(7385,1),(7404,1),(7588,1),(7617,1),(8138,1),(8234,1),(8419,1),(8923,1)}
5852:{2,3,4,5,7}:{(5202,1),(5266,1),(5358,1),(5537,1),(5540,1),(6237,1),(6241,1),(6347,1),(6393,1),(6403,1),(6560,1),(6574,1),(6576,1),(6635,1),(6641,1),(7273,1),(7323,1),(7325,1),(7355,1),(7384,1),(7407,1),(7409,1),(7420,1),(7432,1),(7584,1),(7588,1),(7589,1),(7608,1),(7611,1),(7617,1),(7636,1),(8130,1),(8140,1),(8206,1),(8235,1),(8243,1),(8253,1),(8257,1),(8259,1),(8419,1),(8425,1),(8426,1),(8428,1),(8432,1),(8435,1),(8893,1),(8900,1),(8921,1),(9033,1)}
5853:{2,3,7}:{(5200,1),(5264,1),(5356,1),(6248,1),(6346,1),(6390,1),(7271,1),(7387,1),(9523,1)}
5854:{2,3,5,7}:{(5201,1),(5265,1),(5359,1),(5540,1),(6238,1),(6242,1),(6348,1),(6392,1),(6405,1),(6558,1),(6635,1),(7279,1),(7386,1),(7611,1),(9356,1)}
5855:{2,3}:{(5363,1),(5486,1),(7489,1)}
5856:{3,5}:{(5361,1),(5541,1),(6398,1),(6563,1)}
5857:{2,3,4}:{(5362,1),(5486,1),(5538,1),(6590,1),(6648,1),(7489,1),(8410,1)}
5858:{3,4,5}:{(5360,1),(5538,1),(5541,1),(6401,1),(6564,1),(6590,1),(6637,1)}
5859:{5,6}:{(5285,1),(5543,1),(6406,1),(8207,1)}
5860:{1,5}:{(5286,1),(5432,1),(6309,1),(7584,1),(8197,1)}
5861:{1,5}:{(5284,1),(5432,1),(6307,1),(8197,1)}
5862:{5,6}:{(5287,1),(5543,1),(6407,1)}
5863:{1,4,5,7}:{(5269,1),(5291,1),(5434,1),(5544,1),(6315,1),(6408,1),(6413,1),(6479,1),(7317,1),(7327,1),(8197,1)}
5864:{5,7}:{(5270,1),(5289,1),(6411,1)}
5865:{1,4,5,7}:{(5271,1),(5290,1),(5434,1),(5544,1),(6317,1),(6409,1),(6410,1),(6478,1),(7319,1),(7325,1)}
5866:{5,7}:{(5268,1),(5288,1),(6412,1)}
5867:{1,4,5,6}:{(5163,1),(5273,1),(5276,1),(5333,1),(6288,1),(6313,1),(6415,1),(6420,1),(6437,1),(7453,1)}
5868:{1,4,5,6}:{(5161,1),(5274,1),(5279,1),(5335,1),(6287,1),(6311,1),(6417,1),(6419,1),(6422,1),(6435,1),(7454,1),(7474,1),(8170,1)}
5869:{1,4,5,6}:{(5160,1),(5275,1),(5278,1),(5334,1),(6289,1),(6310,1),(6414,1),(6418,1),(6434,1),(6485,1),(7344,1),(7452,1),(7459,1)}
5870:{1,4,5,6}:{(5162,1),(5272,1),(5277,1),(5332,1),(6286,1),(6312,1),(6416,1),(6421,1),(6424,1),(6436,1),(6483,1),(7347,1),(7455,1),(7457,1),(7475,1),(8207,1),(8789,1)}
5871:{1,4,5,7}:{(5168,1),(5275,1),(5280,1),(5365,1),(6321,1),(6425,1),(6429,1),(6496,1),(7354,1)}
5872:{1,4,5,7}:{(5170,1),(5274,1),(5283,1),(5364,1),(6320,1),(6422,1),(6653,1),(6658,1),(7642,1),(7643,1),(7660,1)}
5873:{1,4,5,7}:{(5171,1),(5272,1),(5281,1),(5367,1),(6318,1),(6424,1),(6495,1),(6653,1),(7288,1),(7353,1),(7660,1),(8118,1),(8207,1)}
5874:{1,4,5,7}:{(5169,1),(5273,1),(5282,1),(5366,1),(6319,1),(6423,1),(6428,1),(6658,1),(7642,1),(7645,1)}
5875:{1,4,6,7}:{(5164,1),(5278,1),(5369,1),(5554,1),(6325,1),(6414,1)}
5876:{1,4,7}:{(5165,1),(5277,1),(5368,1),(6324,1),(6433,1),(6439,1)}
5877:{1,4,6,7}:{(5167,1),(5276,1),(5370,1),(5554,1),(6323,1),(6415,1),(7642,1)}
5878:{1,4,7}:{(5166,1),(5279,1),(5371,1),(6322,1),(6432,1),(6438,1)}
5879:{1,4,6,7}:{(5284,1),(5291,1),(5397,1),(5445,1),(6326,1),(6408,1),(6413,1),(8830,1)}
5880:{1,4,6,7}:{(5286,1),(5290,1),(5399,1),(5445,1),(6328,1),(6409,1),(6410,1),(7591,1)}
5881:{4,6,7}:{(5285,1),(5289,1),(5396,1),(6406,1),(6411,1),(6433,1)}
5882:{4,6,7}:{(5287,1),(5288,1),(5398,1),(6407,1),(6412,1),(6432,1)}
5883:{1,4,6}:{(5292,1),(5401,1),(5446,1),(6288,1),(6330,1),(6420,1),(8176,1)}
5884:{4,6}:{(5294,1),(5400,1),(6432,1)}
5885:{1,4,6}:{(5293,1),(5403,1),(5446,1),(6289,1),(6331,1),(6418,1),(7322,1),(7344,1),(8172,1),(8176,1),(8419,1)}
5886:{4,6}:{(5295,1),(5402,1),(6433,1)}
5887:{1,5}:{(5172,1),(5306,1)}
5888:{1,5}:{(5174,1),(5304,1)}
5889:{1,5}:{(5175,1),(5307,1)}
5890:{1,5}:{(5173,1),(5305,1)}
5891:{1,4,6}:{(5176,1),(5296,1),(5563,1),(6434,1),(6455,1),(6523,1),(7703,1)}
5892:{1,4,6}:{(5177,1),(5298,1),(5563,1),(6437,1),(6454,1),(6525,1),(7703,1)}
5893:{1,6}:{(5179,1),(5299,1),(6439,1)}
5894:{1,6}:{(5178,1),(5297,1),(6438,1)}
5895:{1,4,6,7}:{(5181,1),(5307,1),(5394,1),(5577,1),(6442,1),(6461,1),(6528,1),(6666,1),(8178,1)}
5896:{1,4,7}:{(5183,1),(5305,1),(5395,1),(6438,1),(6529,1),(6671,1),(8169,1)}
5897:{1,4,7}:{(5182,1),(5306,1),(5392,1),(6439,1),(6526,1),(6671,1),(8173,1)}
5898:{1,4,6,7}:{(5180,1),(5304,1),(5393,1),(5577,1),(6443,1),(6459,1),(6527,1),(6666,1),(8171,1)}
5899:{1,3,5}:{(5189,1),(5297,1),(5324,1),(6457,1),(6473,1),(8333,1)}
5900:{1,3,5}:{(5191,1),(5299,1),(5326,1),(6456,1),(6472,1)}
5901:{1,3,5,7}:{(5188,1),(5296,1),(5327,1),(5591,1),(6448,1),(6455,1),(6470,1),(6689,1),(7472,1),(7489,1),(8323,1),(8325,1)}
5902:{1,3,5,7}:{(5190,1),(5298,1),(5325,1),(5591,1),(6447,1),(6454,1),(6471,1),(6689,1),(7473,1),(7488,1),(8324,1),(8327,1)}
5903:{1,3,4,6}:{(5194,1),(5306,1),(5326,1),(5589,1),(6446,1),(6456,1),(6458,1),(6545,1),(6671,1),(6693,1),(7455,1),(7461,1),(7478,1),(7490,1),(8304,1)}
5904:{1,3,6}:{(5192,1),(5304,1),(5327,1),(6448,1),(7489,1)}
5905:{1,3,4,6}:{(5193,1),(5305,1),(5324,1),(5589,1),(6449,1),(6457,1),(6460,1),(6544,1),(6671,1),(6693,1),(7454,1),(7463,1),(7476,1),(7491,1),(8301,1)}
5906:{1,3,6}:{(5195,1),(5307,1),(5325,1),(6447,1),(7488,1)}
5907:{1,4,6}:{(5196,1),(5329,1),(5422,1),(6287,1),(6469,1),(6577,1)}
5908:{1,4,6}:{(5199,1),(5331,1),(5421,1),(6286,1),(6468,1),(6551,1)}
5909:{1,3,4,6}:{(5197,1),(5330,1),(5420,1),(5578,1),(6289,1),(6450,1),(6467,1),(6553,1),(6603,1),(7300,1),(7452,1),(7606,1),(9523,1)}
5910:{1,3,4,6}:{(5198,1),(5328,1),(5423,1),(5578,1),(6288,1),(6452,1),(6466,1),(6577,1),(6603,1),(7345,1),(7359,1),(7453,1),(7606,1),(7644,1),(7656,1),(8176,1),(8221,1),(8234,1),(8419,1),(8822,1),(8887,1),(8963,1),(9021,1),(9558,1),(9570,1)}
5911:{1,3,4,7}:{(5203,1),(5328,1),(5425,1),(5579,1),(6428,1),(6465,1),(6576,1),(6604,1),(7355,1),(7655,1),(8176,1),(8234,1),(8419,1),(8963,1)}
5912:{1,4,5,7}:{(5202,1),(5329,1),(5427,1),(5599,1),(6464,1),(6469,1),(6473,1),(6576,1),(6679,1),(7325,1),(7464,1),(7492,1),(7584,1),(7660,1)}
5913:{1,3,4,7}:{(5200,1),(5330,1),(5426,1),(5579,1),(6429,1),(6463,1),(6561,1),(6604,1)}
5914:{1,4,5,7}:{(5201,1),(5331,1),(5424,1),(5599,1),(6462,1),(6468,1),(6472,1),(6558,1),(6679,1),(7466,1),(7493,1),(7645,1),(7660,1),(8284,1)}
5915:{1,5,7}:{(5206,1),(5332,1),(5337,1),(6372,1),(6406,1)}
5916:{1,2,5,7}:{(5207,1),(5335,1),(5338,1),(5542,1),(6370,1),(6407,1),(6417,1),(7295,1),(7464,1),(8358,1),(8791,1)}
5917:{1,5,7}:{(5204,1),(5334,1),(5336,1),(6371,1)}
5918:{1,2,5,7}:{(5205,1),(5333,1),(5339,1),(5542,1),(6373,1),(6409,1),(6415,1),(8360,1)}
5919:{1,2,5}:{(5269,1),(5348,1),(5488,1),(6380,1),(7383,1),(8197,1),(8889,1)}
5920:{2,5,6}:{(5270,1),(5349,1),(5603,1),(6481,1),(6491,1),(6696,1),(8146,1)}
5921:{2,5,6}:{(5268,1),(5351,1),(5603,1),(6480,1),(6492,1),(6696,1)}
5922:{1,2,5}:{(5271,1),(5350,1),(5488,1),(6379,1),(7380,1)}
5923:{1,2,5}:{(5210,1),(5272,1),(5342,1),(6348,1),(6377,1),(6487,1),(8147,1),(8207,1),(9325,1)}
5924:{1,2,5}:{(5208,1),(5275,1),(5343,1),(6346,1),(6375,1),(6486,1),(7535,1),(7553,1),(9339,1)}
5925:{1,2,4,5}:{(5209,1),(5274,1),(5341,1),(5602,1),(6347,1),(6374,1),(6488,1),(6520,1),(6574,1),(6658,1),(7463,1),(7533,1),(7552,1),(7645,1),(7670,1),(7673,1),(8432,1)}
5926:{1,2,4,5}:{(5211,1),(5273,1),(5340,1),(5602,1),(6349,1),(6376,1),(6489,1),(6519,1),(6574,1),(6658,1),(7462,1),(7532,1),(7554,1),(7616,1),(7645,1),(7673,1),(8378,1)}
5927:{1,2,4,6}:{(5217,1),(5277,1),(5346,1),(5372,1),(6253,1),(6263,1),(6385,1),(6483,1),(6501,1),(6524,1),(7347,1),(7457,1)}
5928:{1,2,4,6}:{(5218,1),(5276,1),(5347,1),(5373,1),(6262,1),(6382,1),(6525,1),(7301,1),(8430,1),(8448,1),(8984,1)}
5929:{1,2,4,6}:{(5216,1),(5278,1),(5345,1),(5374,1),(6256,1),(6384,1),(6485,1),(6523,1),(7309,1),(7344,1),(7459,1),(8981,1),(9400,1)}
5930:{1,2,4,6}:{(5219,1),(5279,1),(5344,1),(5375,1),(6258,1),(6260,1),(6383,1),(6498,1),(6522,1),(8348,1)}
5931:{1,2,4,7}:{(5221,1),(5281,1),(5342,1),(5379,1),(6386,1),(6495,1),(6511,1),(6526,1),(7353,1),(7386,1),(8255,1),(8357,1),(9515,1)}
5932:{1,2,4,6,7}:{(5220,1),(5280,1),(5343,1),(5378,1),(5617,1),(6387,1),(6496,1),(6510,1),(6527,1),(6702,1),(7354,1),(7537,1),(7580,1)}
5933:{1,2,4,6,7}:{(5223,1),(5282,1),(5340,1),(5377,1),(5617,1),(6389,1),(6494,1),(6512,1),(6528,1),(6702,1),(7583,1),(8242,1),(8284,1),(8346,1),(8430,1),(8448,1),(8806,1),(8824,1),(8866,1),(8984,1)}
5934:{1,2,4,7}:{(5222,1),(5283,1),(5341,1),(5376,1),(6388,1),(6513,1),(6529,1),(7384,1),(8284,1),(8348,1),(8358,1)}
5935:{1,2,4,6}:{(5284,1),(5356,1),(5408,1),(5499,1),(6265,1),(6390,1),(6474,1),(7322,1)}
5936:{1,2,4,6}:{(5286,1),(5357,1),(5409,1),(5499,1),(6260,1),(6391,1),(6475,1),(8301,1)}
5937:{2,4,6}:{(5287,1),(5358,1),(5411,1),(6262,1),(6476,1),(6696,1)}
5938:{2,4,6}:{(5285,1),(5359,1),(5410,1),(6252,1),(6392,1),(6477,1),(6696,1),(7320,1),(7590,1),(8810,1),(9251,1)}
5939:{1,2,4,7}:{(5290,1),(5350,1),(5405,1),(5500,1),(6404,1),(6478,1),(7385,1)}
5940:{2,4,7}:{(5288,1),(5351,1),(5406,1),(6480,1),(6508,1)}
5941:{2,4,7}:{(5289,1),(5349,1),(5407,1),(6405,1),(6481,1),(6507,1),(7324,1)}
5942:{1,2,4,7}:{(5291,1),(5348,1),(5404,1),(5500,1),(6402,1),(6479,1),(7327,1),(7387,1),(8241,1),(8854,1)}
5943:{4,6}:{(5352,1),(5415,1),(6486,1)}
5944:{2,4,6}:{(5353,1),(5412,1),(5558,1),(6487,1),(6511,1),(7507,1)}
5945:{4,6}:{(5354,1),(5413,1),(6489,1),(6574,1)}
5946:{2,4,6}:{(5355,1),(5414,1),(5558,1),(6488,1),(6513,1),(6574,1),(7320,1),(7405,1),(7592,1),(8432,1)}
5947:{4,6}:{(5360,1),(5416,1),(6508,1)}
5948:{1,2,4,6}:{(5363,1),(5417,1),(5501,1),(5559,1),(6400,1),(6490,1),(6509,1),(7459,1),(8348,1)}
5949:{4,6}:{(5361,1),(5419,1),(6398,1),(6507,1)}
5950:{1,2,4,6}:{(5362,1),(5418,1),(5501,1),(5559,1),(6399,1),(6493,1),(6506,1),(6577,1),(7344,1),(7459,1),(7518,1),(7656,1),(8138,1),(8176,1),(8419,1),(8818,1),(8822,1),(8991,1),(9021,1),(9570,1)}
5951:{1,2,5,6}:{(5231,1),(5364,1),(5381,1),(5561,1),(6422,1),(6435,1),(6651,1),(7507,1),(7530,1),(8353,1)}
5952:{1,2,5,6}:{(5230,1),(5366,1),(5380,1),(5561,1),(6423,1),(6437,1),(6662,1),(7527,1),(7584,1),(7668,1),(8395,1),(8450,1)}
5953:{1,5,6}:{(5229,1),(5365,1),(5382,1),(6662,1)}
5954:{1,5,6}:{(5228,1),(5367,1),(5383,1),(6424,1),(6651,1),(8207,1),(8789,1)}
5955:{1,2,6,7}:{(5212,1),(5302,1),(5374,1),(5627,1),(6274,1),(8392,1)}
5956:{1,2,5,6,7}:{(5214,1),(5301,1),(5373,1),(5626,1),(5627,1),(6278,1),(6500,1),(6697,1),(6700,1),(8182,1),(8240,1),(8392,1),(8892,1)}
5957:{1,2,5,7}:{(5213,1),(5303,1),(5375,1),(5626,1),(6266,1),(6498,1),(8358,1)}
5958:{1,2,7}:{(5215,1),(5300,1),(5372,1),(6277,1)}
5959:{1,2,5,7}:{(5233,1),(5296,1),(5391,1),(5631,1),(6521,1),(6523,1),(6530,1),(6720,1),(7527,1),(7535,1),(8359,1),(8363,1)}
5960:{1,2,5}:{(5232,1),(5299,1),(5389,1),(6524,1),(6532,1),(7526,1)}
5961:{1,2,5,7}:{(5234,1),(5298,1),(5388,1),(5631,1),(6519,1),(6525,1),(6533,1),(6720,1),(7525,1),(7532,1),(8360,1),(8361,1)}
5962:{1,2,5}:{(5235,1),(5297,1),(5390,1),(6522,1),(6531,1),(7524,1)}
5963:{1,2,4,6,7}:{(5239,1),(5380,1),(5384,1),(5574,1),(5625,1),(6410,1),(6441,1),(6515,1),(6538,1),(6655,1),(6675,1),(6700,1),(6719,1),(7444,1),(7501,1),(7591,1),(7642,1),(7669,1),(7682,1),(7683,1),(7703,1),(7704,1),(8239,1),(8352,1),(8353,1),(8360,1),(8392,1),(8447,1),(8454,1),(8828,1),(8836,1),(8970,1)}
5964:{1,6,7}:{(5236,1),(5383,1),(5386,1),(6411,1),(6439,1)}
5965:{1,2,6,7}:{(5238,1),(5381,1),(5387,1),(5574,1),(6412,1),(6438,1)}
5966:{1,4,6,7}:{(5237,1),(5382,1),(5385,1),(5625,1),(6413,1),(6516,1),(6539,1),(7703,1),(7704,1)}
5967:{1,2,6}:{(5242,1),(5306,1),(5389,1),(6518,1),(6526,1)}
5968:{1,2,6}:{(5240,1),(5305,1),(5390,1),(6520,1),(6529,1)}
5969:{1,2,6}:{(5243,1),(5304,1),(5391,1),(6521,1),(7535,1)}
5970:{1,2,6}:{(5241,1),(5307,1),(5388,1),(6519,1),(7532,1)}
5971:{1,3,5,7}:{(5244,1),(5365,1),(5428,1),(6321,1),(6371,1),(6429,1),(6448,1),(6534,1)}
5972:{1,3,5,7}:{(5247,1),(5367,1),(5430,1),(6318,1),(6372,1),(6427,1),(6446,1),(6536,1),(6591,1),(6679,1),(7466,1),(7604,1),(7660,1),(8207,1),(8231,1)}
5973:{1,2,3,5,7}:{(5246,1),(5366,1),(5429,1),(5580,1),(6319,1),(6373,1),(6428,1),(6447,1),(6535,1),(6639,1),(6704,1),(6727,1),(7435,1),(7469,1),(7532,1),(8360,1)}
5974:{1,2,3,5,7}:{(5245,1),(5364,1),(5431,1),(5580,1),(6320,1),(6370,1),(6426,1),(6449,1),(6537,1),(6591,1),(6639,1),(6679,1),(6704,1),(6727,1),(7408,1),(7423,1),(7432,1),(7464,1),(7470,1),(7533,1),(7544,1),(7555,1),(7584,1),(7604,1),(7611,1),(7660,1),(7670,1),(7690,1),(8187,1),(8189,1),(8206,1),(8207,1),(8229,1),(8333,1),(8342,1),(8358,1),(8426,1),(8428,1),(8437,1),(8457,1),(8467,1),(8471,1),(8791,1),(8846,1),(8861,1),(8935,1),(8973,1),(9328,1),(9336,1),(9553,1)}
5975:{1,2,3,5,6,7}:{(5310,1),(5369,1),(5397,1),(5403,1),(5526,1),(5643,1),(6268,1),(6280,1),(6325,1),(6371,1),(6408,1),(6430,1),(6695,1),(6728,1),(7280,1),(7291,1),(7361,1),(7365,1),(7387,1),(7410,1),(7413,1),(7427,1),(7468,1),(7522,1),(7600,1),(7648,1),(7703,1),(8154,1),(8158,1),(8190,1),(8194,1),(8197,1),(8237,1),(8310,1),(8323,1),(8354,1),(8359,1),(8386,1),(8391,1),(8436,1),(8932,1),(8945,1),(8971,1)}
5976:{2,3,5,7}:{(5309,1),(5371,1),(5398,1),(5400,1),(6281,1),(6322,1),(6407,1),(6432,1),(7275,1),(7295,1),(7367,1)}
5977:{1,2,3,5,6,7}:{(5308,1),(5370,1),(5399,1),(5401,1),(5526,1),(5643,1),(6273,1),(6323,1),(6373,1),(6409,1),(6431,1),(6695,1),(6728,1),(7283,1),(7287,1),(7360,1),(7366,1),(7427,1),(7469,1),(7522,1),(7600,1),(7648,1),(7703,1),(8154,1),(8194,1),(8197,1),(8239,1),(8311,1),(8323,1),(8354,1),(8360,1),(8391,1),(8932,1),(8945,1),(8970,1)}
5978:{2,3,5,7}:{(5311,1),(5368,1),(5396,1),(5402,1),(6275,1),(6277,1),(6324,1),(6372,1),(6406,1),(6433,1),(7279,1),(7290,1),(7364,1),(7386,1)}
5979:{1,2,3,6,7}:{(5312,1),(5405,1),(5409,1),(5529,1),(5626,1),(6279,1),(6504,1),(6646,1),(6719,1),(8162,1),(8353,1),(8358,1),(9001,1)}
5980:{2,6,7}:{(5313,1),(5407,1),(5410,1),(6275,1),(8810,1)}
5981:{1,2,6,7}:{(5315,1),(5404,1),(5408,1),(5529,1),(6267,1),(8353,1)}
5982:{2,3,6,7}:{(5314,1),(5406,1),(5411,1),(5626,1),(6266,1),(6503,1),(8240,1)}
5983:{1,2,3,5,7}:{(5316,1),(5405,1),(5418,1),(5530,1),(5627,1),(6268,1),(6478,1),(6506,1),(6640,1),(6647,1),(6717,1),(6720,1),(7291,1),(7387,1),(7413,1),(7419,1),(7522,1),(7576,1),(7634,1),(7680,1),(8246,1),(8323,1),(8359,2),(8360,1),(8436,1),(8868,1),(9003,1)}
5984:{2,3,5,7}:{(5319,1),(5406,1),(5416,1),(5627,1),(6274,1),(6480,1),(6508,1),(6647,1),(7294,1),(7418,1)}
5985:{2,5,7}:{(5318,1),(5407,1),(5419,1),(6269,1),(6507,1),(7289,1)}
5986:{1,2,5,7}:{(5317,1),(5404,1),(5417,1),(5530,1),(6273,1),(6509,1),(6720,1),(7387,1),(8359,1),(8360,1),(8854,1)}
5987:{2,3,5,6,7}:{(5322,1),(5377,1),(5413,1),(5647,1),(5648,1),(6272,1),(6389,1),(6512,1),(6638,1),(6639,1),(6696,1),(6698,1),(7278,1),(7411,1),(7421,1),(7425,1),(7430,1),(7504,1),(7584,1),(7626,1),(7627,1),(8149,1),(8199,1),(8267,1),(8806,1),(8909,1)}
5988:{2,3,7}:{(5321,1),(5379,1),(5412,1),(6281,1),(6511,1),(7386,1),(9515,1)}
5989:{2,3,5,7}:{(5323,1),(5376,1),(5414,1),(5647,1),(6275,1),(6388,1),(6513,1),(6645,1),(6698,1),(7279,1),(7386,1),(7611,1),(8266,1)}
5990:{2,3,6,7}:{(5320,1),(5378,1),(5415,1),(5648,1),(6269,1),(6510,1),(6638,1),(6696,1),(7270,1),(7627,1)}
5991:{1,2,3,6}:{(5254,1),(5381,1),(5427,1),(5587,1),(6457,1),(6464,1),(6595,1),(6638,1),(7308,1),(7424,1),(7695,1)}
5992:{1,3,6}:{(5252,1),(5382,1),(5426,1),(6598,1)}
5993:{1,3,6}:{(5255,1),(5383,1),(5424,1),(6462,1),(6595,1),(8233,1)}
5994:{1,2,3,6}:{(5253,1),(5380,1),(5425,1),(5587,1),(6454,1),(6465,1),(6598,1),(6638,1),(7431,1),(7606,1),(7632,1),(8953,1)}
5995:{1,3,5,7}:{(5259,1),(5385,1),(5420,1),(6315,1),(6371,1),(6467,1),(6539,1),(6599,1),(6689,1),(8323,1)}
5996:{1,2,3,5,7}:{(5258,1),(5387,1),(5422,1),(5590,1),(6316,1),(6370,1),(6469,1),(6540,1),(6640,1),(6742,1),(7464,1),(7565,1)}
5997:{1,3,5,7}:{(5256,1),(5386,1),(5421,1),(6314,1),(6372,1),(6468,1),(6541,1),(7466,1)}
5998:{1,2,3,5,7}:{(5257,1),(5384,1),(5423,1),(5590,1),(6317,1),(6373,1),(6466,1),(6538,1),(6599,1),(6640,1),(6689,1),(6742,1),(7414,1),(7417,1),(7465,1),(7469,1),(7568,1),(7576,1),(7634,1),(7659,1),(8189,1),(8323,1),(8324,1),(8360,1),(8424,1),(8436,1),(8845,1),(8918,1),(9002,1)}
5999:{1,2,3}:{(5260,1),(5324,1),(5390,1),(6554,1),(8412,1)}
6000:{1,2,3,7}:{(5263,1),(5325,1),(5388,1),(5655,1),(6542,1),(6557,1),(8841,1),(8866,1)}
6001:{1,2,3}:{(5262,1),(5326,1),(5389,1),(6556,1)}
6002:{1,2,3,7}:{(5261,1),(5327,1),(5391,1),(5655,1),(6543,1),(6555,1),(8840,1),(8857,1)}
6003:{1,2,4,5}:{(5266,1),(5329,1),(5656,1),(5659,1),(6347,1),(6552,1),(6564,1),(6709,1),(6736,1)}
6004:{1,2,3,4}:{(5267,1),(5328,1),(5637,1),(5656,1),(6349,1),(6648,1),(6709,1),(7404,1),(7532,1),(8409,1)}
6005:{1,2,3}:{(5264,1),(5330,1),(5637,1),(6346,1),(6648,1),(7535,1),(8877,1)}
6006:{1,2,5}:{(5265,1),(5331,1),(5659,1),(6348,1),(6551,1),(6563,1)}
6007:{5,7}:{(5432,1),(5445,1),(6566,1),(8197,1)}
6008:{4,6}:{(5434,1),(5660,1),(5661,1),(6566,1),(6607,1)}
6009:{4,5}:{(5432,1),(5446,1),(6340,1),(6580,1),(7584,1),(8197,1)}
6010:{4,5,6,7}:{(5433,1),(5436,1),(5437,1),(5447,1),(6283,1),(6566,1),(6570,1),(6610,1),(7318,1),(7379,1)}
6011:{4,6,7}:{(5438,1),(5439,1),(5502,1),(6746,1),(6748,1),(7338,1),(8214,1)}
6012:{4,5}:{(5443,1),(5503,1),(8197,1),(9570,1)}
6013:{4,6}:{(5440,1),(5467,1),(6570,1),(6612,1)}
6014:{4}:{(5504,1)}
6015:{4,6}:{(5444,1),(5520,1),(6568,1),(7322,1),(8419,1)}
6016:{4,7}:{(5443,1),(5521,1),(9570,1)}
6017:{4,6}:{(5441,1),(5522,1),(6571,1),(6574,1),(6575,1),(8432,1)}
6018:{4,6,7}:{(5446,1),(5526,1),(5666,1),(5667,1),(6567,1),(6746,1),(6748,1),(7338,1),(8128,1),(8214,1)}
6019:{4}:{(5527,1)}
6020:{3,6}:{(5448,1),(5660,1),(5662,1),(9523,1)}
6021:{3,5}:{(5432,1),(5464,1),(6568,1),(6662,1),(7584,1),(8197,1)}
6022:{3,5,7}:{(5433,1),(5449,1),(5462,1),(6663,1)}
6023:{3,5,6,7}:{(5435,1),(5450,1),(5451,1),(5452,1),(6290,1),(6291,1),(6583,1),(6664,1),(7593,1),(8420,1),(9557,1)}
6024:{3,4,5,6}:{(5437,1),(5449,1),(5453,1),(5459,1),(6297,1),(6568,1),(6572,1),(6597,1),(6622,1),(6665,1),(7341,1),(7584,1),(7592,1),(7602,1),(7606,1),(8206,1),(8419,1),(8427,1)}
6025:{3,4,5,7}:{(5434,1),(5448,1),(5454,1),(5465,1),(6315,1),(6317,1),(6569,1),(6579,1),(6581,1),(6623,1),(6670,1),(6749,1),(7317,1),(7319,1),(7325,1),(7327,1),(7389,1),(7587,1),(8121,1),(8197,1),(8424,1),(8793,1),(9245,1),(9523,1)}
6026:{3,4,6}:{(5438,1),(5452,1),(5458,1),(6598,1),(6624,1),(6666,1),(7627,1),(8218,1),(8956,1),(9400,1)}
6027:{3,4,5,7}:{(5439,1),(5451,1),(5455,1),(5456,1),(6290,1),(6291,1),(6583,1),(6587,1),(6599,1),(6625,1),(6667,1),(6749,1),(7328,1),(7331,1),(7337,1),(7338,1),(7418,1),(7598,1),(8122,1),(8323,1),(8420,1),(8838,1),(9322,1),(9557,1)}
6028:{3,4,6,7}:{(5436,1),(5459,1),(5461,1),(5468,1),(6570,1),(6573,1),(6581,1),(6596,1),(6626,1),(6668,1),(7331,1),(7591,1),(8121,1),(8209,1)}
6029:{3,4,5}:{(5440,1),(5460,1),(5469,1),(6299,1),(6571,1),(6574,1),(6627,1),(6669,1),(7604,1),(7608,1),(8432,1)}
6030:{3,4}:{(5441,1),(5470,1),(6628,1),(6671,1)}
6031:{3,4,6}:{(5442,1),(5457,1),(5505,1),(6303,1),(6305,1),(6602,1),(6672,1),(7490,1),(7601,1),(9251,1),(9254,1),(9548,1)}
6032:{3,4,6}:{(5443,1),(5463,1),(5524,1),(6584,1),(6587,1),(6673,1),(7359,1),(9570,1)}
6033:{3,4,7}:{(5444,1),(5463,1),(5525,1),(6299,1),(6301,1),(6302,1),(6304,1),(6586,1),(6674,1),(7338,1),(7354,1),(7489,1),(8323,1),(9020,1),(9322,1)}
6034:{3,4,6,7}:{(5445,1),(5464,1),(5465,1),(5528,1),(6573,1),(6579,1),(6581,1),(6675,1),(7591,1),(8221,1)}
6035:{3,4,6}:{(5446,1),(5466,1),(5523,1),(6580,1),(6676,1)}
6036:{3,5,7}:{(5467,1),(5476,1),(5542,1),(6570,1)}
6037:{3,5}:{(5483,1),(5543,1),(6571,1),(6679,1),(7584,1),(8207,1)}
6038:{3,5,6}:{(5469,1),(5479,1),(5545,1),(6309,1),(6592,1),(7267,1),(7584,1),(7602,1),(7606,1),(8162,1),(8200,1),(8206,1)}
6039:{3,6}:{(5472,1),(5547,1)}
6040:{3,5,7}:{(5469,1),(5480,1),(5549,1),(6597,1),(7584,1),(7602,1),(7604,1),(8206,1)}
6041:{3,5,7}:{(5473,1),(5482,1),(5548,1),(6596,1)}
6042:{3,5,7}:{(5474,1),(5484,1),(5546,1),(6595,1),(6688,1)}
6043:{3,5,7}:{(5470,1),(5478,1),(5550,1),(6601,1),(6602,1),(7490,1),(7604,1),(8333,1),(8846,1)}
6044:{3,5,6}:{(5475,1),(5477,1),(5551,1),(6594,1),(6598,1),(6599,1),(6603,1),(7600,1),(7602,1),(7606,1),(8325,1),(8945,1),(9276,1)}
6045:{3,5,7}:{(5475,1),(5481,1),(5552,1),(6598,1),(6604,1),(7489,1),(7602,1),(8323,1),(8325,1)}
6046:{3,4,7}:{(5460,1),(5471,1),(5553,1),(6570,1),(6575,1),(6645,1)}
6047:{3,7}:{(5477,1),(5554,1)}
6048:{3,4,6,7}:{(5476,1),(5479,1),(5482,1),(5555,1),(6322,1),(6323,1),(6570,1),(6592,1),(6596,1),(6646,1),(7277,1),(7329,1),(7331,1),(7368,1),(7588,1),(7591,1),(8162,1),(8425,1),(8888,1)}
6049:{3,4}:{(5475,1),(5556,1),(6648,1),(7489,1)}
6050:{3,4,6,7}:{(5483,1),(5484,1),(5531,1),(5557,1),(6575,1),(6591,1),(6595,1),(6606,1),(6692,1),(7586,1),(7601,1)}
6051:{3,4,6}:{(5485,1),(5532,1),(5558,1),(6593,1),(6606,1),(6693,1),(7601,1)}
6052:{3,4,6}:{(5477,1),(5486,1),(5559,1),(6400,1),(6594,1),(6605,1),(7359,1),(7600,1),(7606,1),(8234,1)}
6053:{2,5,7}:{(5433,1),(5487,1),(5496,1)}
6054:{2,5}:{(5432,1),(5499,1),(6338,1),(8197,1)}
6055:{2,5,7}:{(5434,1),(5488,1),(5500,1),(6607,1)}
6056:{2,4,5}:{(5488,1),(5501,1),(5664,1),(5665,1),(6340,1),(6621,1),(7340,1),(7380,1),(7383,1),(8138,1),(8197,1),(8797,1),(8889,1),(9570,1)}
6057:{2,6,7}:{(5436,1),(5489,1),(5490,1),(6607,1),(8239,1)}
6058:{2,5,6}:{(5437,1),(5489,1),(5491,1),(6345,1),(6612,1),(8239,1)}
6059:{2,4,6}:{(5438,1),(5489,1),(5494,1),(6344,1),(6624,1),(9400,1)}
6060:{2,4,5,7}:{(5439,1),(5490,1),(5492,1),(5497,1),(6335,1),(6611,1),(6617,1),(6625,1),(7338,1),(7385,1),(7387,1),(7610,1),(8256,1),(9322,1),(9557,1)}
6061:{2,5}:{(5440,1),(5495,1),(6349,1),(6612,1)}
6062:{2,4}:{(5441,1),(5495,1),(6348,1),(6628,1)}
6063:{2,4,6,7}:{(5442,1),(5493,1),(5506,1),(6283,1),(6285,1),(6342,1),(6345,1),(6575,1),(6613,1),(6616,1),(7384,1),(7386,1),(7592,1),(8129,1),(8139,1),(8432,1),(8893,1),(9254,1),(9373,1),(9515,1)}
6064:{2,4,6}:{(5443,1),(5498,1),(5508,1),(6572,1),(6577,1),(6614,1),(6617,1),(8138,1),(8419,1),(9021,1),(9570,1)}
6065:{2,4,7}:{(5444,1),(5498,1),(5509,1),(6346,1),(6349,1),(6576,1),(6615,1),(7387,1),(8138,1),(8419,1)}
6066:{2,4,6,7}:{(5445,1),(5499,1),(5500,1),(5529,1),(6350,1),(6607,1),(6608,1),(7379,1)}
6067:{2,4,7}:{(5501,1),(5530,1),(5666,1),(5667,1),(7327,1),(7338,1),(7387,1),(8128,1)}
6068:{2,3,5,7}:{(5448,1),(5503,1),(5516,1),(5673,1),(5674,1),(6569,1),(6579,1),(6618,1),(6749,1),(7610,1),(8197,1)}
6069:{2,3,5,6}:{(5449,1),(5487,1),(5504,1),(5510,1),(6572,1),(6619,1),(6620,1),(6710,1),(7606,1)}
6070:{2,3,5,7}:{(5453,1),(5491,1),(5504,1),(5514,1),(6613,1),(6622,1),(6627,1),(6711,1),(7631,1)}
6071:{2,3,5}:{(5454,1),(5488,1),(5517,1),(6614,1),(6718,1),(7380,1),(7383,1),(8134,1),(8197,1),(8889,1)}
6072:{2,3,5,6}:{(5456,1),(5492,1),(5507,1),(5511,1),(6621,1),(6624,1),(6625,1),(6630,1),(6712,1),(7398,1),(7399,1),(7619,1),(7620,1),(8135,1)}
6073:{2,3,5,7}:{(5457,1),(5493,1),(5505,1),(5513,1),(6292,1),(6293,1),(6628,1),(6629,1),(6713,1),(7622,1),(8206,1),(8207,1),(8901,1),(8950,1)}
6074:{2,3,5,7}:{(5458,1),(5494,1),(5507,1),(5515,1),(6624,1),(6631,1),(6714,1),(7620,1),(8258,1)}
6075:{2,3,6}:{(5459,1),(5489,1),(5509,1),(6612,1),(6615,1),(6715,1),(8134,1),(8239,1)}
6076:{2,3,6}:{(5460,1),(5495,1),(6612,1),(6616,1),(6627,1),(6628,1),(6645,1),(6716,1)}
6077:{2,3,5,7}:{(5461,1),(5490,1),(5508,1),(5512,1),(6617,1),(6626,1),(6717,1),(7387,1),(7610,1),(7634,1)}
6078:{2,3,6,7}:{(5462,1),(5496,1),(5510,1),(5512,1),(6362,1),(6619,1),(6719,1)}
6079:{2,3,7}:{(5455,1),(5497,1),(5511,1),(6720,1)}
6080:{2,3,4}:{(5463,1),(5498,1),(5507,1),(6302,1),(6304,1),(6590,1),(6648,1),(6721,1),(7406,1),(7489,1),(8410,1),(9020,1)}
6081:{2,3,4,6}:{(5464,1),(5499,1),(5510,1),(5518,1),(6368,1),(6390,1),(6572,1),(6615,1),(6620,1),(6722,1),(7322,1),(7606,1),(7632,1),(8134,1),(8234,1),(8419,1)}
6082:{2,3,4,6}:{(5501,1),(5511,1),(5519,1),(5669,1),(5670,1),(6400,1),(6621,1),(6633,1),(6723,1),(7359,1),(7398,1),(7399,1),(7619,1),(8138,1),(8145,1),(8221,1),(8818,1),(8877,1),(9307,1),(9570,1)}
6083:{2,3,4,7}:{(5465,1),(5500,1),(5512,1),(5517,1),(6402,1),(6617,1),(6623,1),(6724,1),(7327,1),(7385,1),(7387,1),(7634,1),(8241,1),(9245,1),(9523,1)}
6084:{2,3,5,6,7}:{(5468,1),(5520,1),(5521,1),(5528,1),(5601,1),(6371,1),(6373,1),(6573,1),(6579,1),(6618,1),(6619,1),(6626,1),(7360,1),(7361,1),(7387,1),(7410,1),(7427,1),(7610,1),(7618,1),(8154,1),(8197,1),(8237,1),(8239,1),(8436,1)}
6085:{2,3,5}:{(5469,1),(5533,1),(5602,1),(6574,1)}
6086:{2,3,6,7}:{(5450,1),(5523,1),(5604,1),(5675,1),(5677,1),(6323,1),(6325,1),(6589,1),(7600,1),(7619,1),(8323,1),(8945,1)}
6087:{2,3,5,7}:{(5451,1),(5524,1),(5605,1),(5676,1),(5677,1),(6587,1),(6599,1),(6749,1),(7634,1),(8323,1)}
6088:{2,3,5,6}:{(5452,1),(5523,1),(5525,1),(5606,1),(6310,1),(6313,1),(6580,1),(6586,1),(6598,1),(6624,1),(7258,1),(7260,1),(7398,1),(7399,1),(7602,1),(7606,1),(7620,1),(7632,1),(8325,1),(8406,1),(8877,1),(8951,1),(8956,1)}
6089:{2,3,5,6}:{(5470,1),(5532,1),(5607,1),(6311,1),(6312,1),(6374,1),(6377,1),(6588,1),(6593,1),(6602,1),(6628,1),(6642,1),(7396,1),(7397,1),(7428,1),(7431,1),(7490,1),(7601,1),(7604,1),(7622,1),(7633,1),(8206,1),(8207,1),(8233,1),(8333,1),(8405,1),(8412,1),(8423,1),(8434,1),(8883,1),(8950,1),(8955,1),(9328,1),(9548,1)}
6090:{2,3,5,7}:{(5471,1),(5522,1),(5531,1),(5608,1),(6372,1),(6575,1),(6591,1),(6645,1),(7386,1),(7611,1)}
6091:{2,3,5,7}:{(5472,1),(5527,1),(5535,1),(5610,1),(6576,1),(6638,1),(7584,1)}
6092:{2,3,5,6}:{(5473,1),(5527,1),(5536,1),(5609,1),(6379,1),(6577,1),(6638,1),(6640,1),(7424,1),(7584,1),(8200,1)}
6093:{2,3,5}:{(5474,1),(5539,1),(5603,1),(6578,1),(6637,1),(6736,1),(7584,1)}
6094:{2,3,5}:{(5475,1),(5534,1),(5611,1),(6590,1),(6637,1),(6648,1),(7489,1),(8336,1),(8410,1)}
6095:{2,3,7}:{(5478,1),(5532,1),(5612,1),(6322,1),(6324,1),(6606,1),(8846,1)}
6096:{2,3,6}:{(5479,1),(5537,1),(5613,1),(6612,1),(7606,1),(8162,1),(8239,1)}
6097:{2,3,6,7}:{(5480,1),(5533,1),(5535,1),(5615,1),(6388,1),(6638,1),(6639,1),(6645,1),(7431,1),(7435,1),(7630,1),(7631,1),(7632,1),(7633,1)}
6098:{2,3,6}:{(5477,1),(5538,1),(5616,1),(6401,1),(6647,1)}
6099:{2,3,7}:{(5481,1),(5534,1),(5617,1),(6650,1),(8840,1)}
6100:{2,3,7}:{(5482,1),(5536,1),(5614,1)}
6101:{2,3,4,6}:{(5483,1),(5533,1),(5540,1),(5619,1),(6392,1),(6395,1),(6574,1),(6616,1),(6635,1),(6743,1),(7320,1),(7407,1),(7608,1),(7633,1),(8144,1),(8233,1),(8261,1),(8432,1),(8924,1)}
6102:{3,4,6}:{(5534,1),(5541,1),(5621,1),(6398,1),(6590,1),(6637,1),(6650,1),(6744,1),(7627,1)}
6103:{2,3,4,7}:{(5484,1),(5535,1),(5539,1),(5620,1),(6405,1),(6576,1),(6641,1),(6650,1),(6745,1),(7324,1),(8274,1)}
6104:{1,6}:{(5544,1),(5660,1),(5661,1)}
6105:{5,7}:{(5543,1),(5557,1),(6651,1),(8207,1)}
6106:{6}:{(5546,1)}
6107:{1,4,5,7}:{(5433,1),(5542,1),(5545,1),(5555,1),(6407,1),(6409,1),(6570,1),(6592,1),(6663,1),(6697,1),(7285,1),(7318,1),(7319,1),(7464,1),(7588,1),(7642,1),(8182,1),(8417,1),(8935,1)}
6108:{4,5}:{(5543,1),(5558,1),(6487,1),(6593,1),(8207,1)}
6109:{1,4,5}:{(5559,1),(5600,1),(5664,1),(5665,1),(6594,1),(6752,1),(8197,1),(8797,1),(8932,1)}
6110:{1,4,6,7}:{(5436,1),(5547,1),(5548,1),(5560,1),(6410,1),(6412,1),(6596,1),(6700,1),(7500,1),(7591,1),(8392,1)}
6111:{1,4,5,6}:{(5437,1),(5547,1),(5549,1),(5561,1),(6422,1),(6597,1),(6651,1),(6656,1),(6701,1),(7505,1),(7584,1),(7586,1),(7592,1),(7658,1),(8395,1),(8448,1)}
6112:{1,4,6}:{(5438,1),(5552,1),(5622,1),(6598,1)}
6113:{1,4,5,7}:{(5439,1),(5551,1),(5554,1),(5623,1),(6599,1),(6655,1),(6661,1),(7642,1)}
6114:{1,4,5,7}:{(5440,1),(5553,1),(5580,1),(6428,1),(6570,1),(6600,1),(6656,1),(6669,1),(6704,1),(7319,1),(7440,1)}
6115:{1,4,7}:{(5441,1),(5638,1),(6575,1),(6601,1),(6660,1),(6671,1),(7353,1),(7461,1),(8432,1),(8896,1)}
6116:{1,4,6}:{(5442,1),(5550,1),(5624,1),(6602,1),(6658,1),(9251,1),(9544,1)}
6117:{1,4,6}:{(5443,1),(5556,1),(5639,1),(6288,1),(6289,1),(6577,1),(6603,1),(6657,1),(6661,1),(7344,1),(8176,1),(8419,1),(9021,1),(9570,1)}
6118:{1,4,7}:{(5444,1),(5556,1),(5640,1),(6576,1),(6604,1),(6658,1),(6659,1),(7354,1),(8176,1),(8419,1)}
6119:{1,4,7}:{(5559,1),(5643,1),(5666,1),(5667,1),(6605,1),(7327,1),(8128,1)}
6120:{4,7}:{(5558,1),(5644,1)}
6121:{1,5,6,7}:{(5447,1),(5542,1),(5561,1),(5574,1),(6663,1),(7464,1),(8353,1)}
6122:{1,5,6}:{(5449,1),(5562,1),(5572,1),(6662,1),(6663,1),(7524,1),(8353,1)}
6123:{1,6,7}:{(5450,1),(5563,1),(5679,1),(5680,1),(7703,1)}
6124:{1,5,7}:{(5451,1),(5564,1),(5678,1),(5679,1),(8932,1),(9557,1)}
6125:{1,5,6}:{(5452,1),(5563,1),(5566,1),(6666,1),(7703,1),(8450,1)}
6126:{1,4,5,7}:{(5453,1),(5562,1),(5576,1),(6658,1),(6663,1),(6665,1),(6669,1),(6681,1),(6711,1),(7642,1),(7646,1),(8803,1)}
6127:{1,4,7}:{(5455,1),(5568,1),(5679,1),(5680,1),(6689,1),(6720,1)}
6128:{1,4,5,6}:{(5456,1),(5564,1),(5568,1),(5569,1),(6434,1),(6437,1),(6666,1),(6667,1),(6673,1),(6683,1),(6712,1),(6752,1),(6754,1),(7452,1),(7453,1),(7458,1),(7459,1),(7559,1),(7649,1),(7656,1),(7703,1),(7704,1),(8450,1),(8929,1),(8932,1)}
6129:{1,4,5,7}:{(5457,1),(5565,1),(5575,1),(6671,1),(6672,1),(6682,1),(6713,1),(7652,1),(7654,1),(7660,1)}
6130:{1,4,5,7}:{(5458,1),(5566,1),(5569,1),(5577,1),(6666,1),(6674,1),(6684,1),(6714,1),(7649,1),(7655,1),(7691,1),(8450,1)}
6131:{1,4,6}:{(5459,1),(5571,1),(5582,1),(6715,1),(8169,1),(8218,1)}
6132:{1,4,6}:{(5460,1),(5553,1),(5583,1),(6669,1),(6671,1),(6716,1)}
6133:{1,4,5,7}:{(5461,1),(5570,1),(5573,1),(5584,1),(6570,1),(6661,1),(6663,1),(6668,1),(6717,1),(7319,1),(7642,1),(8122,1)}
6134:{1,4,5}:{(5454,1),(5578,1),(5581,1),(6662,1),(6718,1),(6752,1),(7524,1),(8169,1),(8197,1),(8932,1)}
6135:{1,4,6,7}:{(5462,1),(5572,1),(5573,1),(5585,1),(6438,1),(6663,1),(6719,1),(7542,1),(7642,1),(8353,1)}
6136:{1,4}:{(5463,1),(5641,1),(9020,1)}
6137:{1,4,6}:{(5464,1),(5579,1),(5645,1),(6662,1)}
6138:{1,4,7}:{(5465,1),(5578,1),(5646,1),(7327,1)}
6139:{1,4,7}:{(5466,1),(5642,1),(5682,1),(5683,1),(6676,1),(8172,1),(8176,1)}
6140:{1,3,5,6}:{(5467,1),(5561,1),(5580,1),(5587,1),(6597,1),(6656,1),(7360,1),(8395,1),(8953,1)}
6141:{1,3,5,7}:{(5448,1),(5544,1),(5581,1),(5597,1),(6315,1),(6317,1),(6670,1),(6677,1),(8424,1),(9523,1)}
6142:{1,3,5,6,7}:{(5468,1),(5560,1),(5582,1),(5584,1),(5585,1),(6596,1),(6663,1),(6664,1),(6668,1),(6677,1),(7360,1),(7469,1),(7647,1),(7662,1),(7703,1),(8155,1),(8196,1),(8311,1),(8353,1),(8392,1)}
6143:{1,3,5}:{(5469,1),(5562,1),(5592,1),(6669,1),(6679,1),(7554,1),(7604,1),(9336,1)}
6144:{1,3,5}:{(5470,1),(5565,1),(5589,1),(6671,1)}
6145:{1,3,5,6,7}:{(5471,1),(5567,1),(5583,1),(5588,1),(6597,1),(6602,1),(6681,1),(6682,1),(6686,1),(7368,1),(7470,1),(7476,1),(7604,1),(8161,1),(8195,1),(8229,1),(8320,1),(8395,1),(8846,1),(9336,1),(9356,1),(9357,1),(9544,1),(9548,1),(9553,1)}
6146:{1,3,5}:{(5475,1),(5569,1),(5593,1),(6691,1),(7488,1),(7489,1),(8336,1)}
6147:{1,3,4,5,7}:{(5472,1),(5571,1),(5586,1),(5594,1),(6576,1),(6600,1),(6604,1),(6681,1),(6684,1),(6685,1),(6688,1),(6734,1),(7484,1),(7584,1),(7599,1),(7602,1),(7646,1),(7655,1),(7691,1),(8297,1),(8319,1),(8419,1),(8426,1),(8446,1),(8450,1)}
6148:{1,3,4,5,6}:{(5473,1),(5570,1),(5586,1),(5595,1),(6451,1),(6452,1),(6577,1),(6585,1),(6603,1),(6680,1),(6683,1),(6685,1),(6687,1),(6735,1),(7356,1),(7453,1),(7483,1),(7559,1),(7584,1),(7602,1),(7606,1),(7644,1),(7656,1),(8166,1),(8200,1),(8236,1),(8319,1),(8329,1),(8419,1),(8422,1),(8446,1),(8450,1),(8926,1),(8929,1),(9021,1)}
6149:{1,4,5}:{(5474,1),(5598,1),(6571,1),(6578,1),(6679,1),(6736,1),(7584,1)}
6150:{1,3,6,7}:{(5476,1),(5574,1),(5587,1),(5590,1),(6596,1),(7368,1),(8392,1)}
6151:{1,3,6}:{(5477,1),(5568,1),(5591,1),(6689,1)}
6152:{1,3,7}:{(5478,1),(5575,1),(5589,1)}
6153:{1,3,4,6}:{(5479,1),(5572,1),(5587,1),(5596,1),(6454,1),(6457,1),(6464,1),(6656,1),(6680,1),(6738,1),(7301,1),(7374,1),(7453,1),(7454,1),(7476,1),(7606,1),(7644,1),(8301,1),(8828,1),(8953,1),(9397,1)}
6154:{1,3,4,6,7}:{(5480,1),(5576,1),(5588,1),(5592,1),(5594,1),(6460,1),(6461,1),(6681,1),(6685,1),(6692,1),(6739,1),(7476,1),(7484,1),(7583,1),(7646,1),(8223,1),(8301,1)}
6155:{1,3,7}:{(5481,1),(5577,1),(5593,1),(8840,1)}
6156:{1,3,4,7}:{(5482,1),(5573,1),(5590,1),(5595,1),(6469,1),(6570,1),(6689,1),(6742,1),(7329,1),(7579,1)}
6157:{1,4,6}:{(5483,1),(5599,1),(5649,1),(6679,1)}
6158:{1,4,7}:{(5484,1),(5598,1),(5650,1),(6575,1),(6576,1),(7324,1)}
6159:{1,4}:{(5485,1),(5651,1)}
6160:{1,3,4}:{(5486,1),(5591,1),(5682,1),(5683,1),(6565,1),(7488,1),(7489,1)}
6161:{1,2,5,7}:{(5544,1),(5600,1),(5618,1),(5672,1),(5673,1),(6408,1),(6409,1),(6652,1),(6695,1),(7648,1),(8197,1),(8932,1)}
6162:{1,2,5,6}:{(5487,1),(5545,1),(5602,1),(5613,1),(6475,1),(6476,1),(6612,1),(6634,1),(6697,1),(7380,1),(7382,1),(7584,1),(7668,1),(8200,1),(8239,1),(8428,1),(8890,1)}
6163:{2,5}:{(5543,1),(5619,1),(6489,1),(7584,1)}
6164:{2,5,7}:{(5546,1),(5603,1),(5620,1),(6696,1),(6699,1)}
6165:{1,2,4,5,6,7}:{(5435,1),(5601,1),(5604,1),(5605,1),(5606,1),(6335,1),(6336,1),(6414,1),(6415,1),(6567,1),(6573,1),(6611,1),(6636,1),(6655,1),(6664,1),(6746,1),(6747,1),(7287,1),(7292,1),(7338,1),(7376,1),(7378,1),(7385,1),(7387,1),(7436,1),(7439,1),(7501,1),(7509,1),(7521,1),(7522,1),(7610,1),(7639,1),(7642,1),(7648,1),(7653,1),(7672,1),(7682,1),(7703,1),(8128,1),(8197,1),(8214,1),(8225,1),(8237,1),(8239,1),(8250,1),(8256,1),(8291,1),(8354,1),(8355,1),(8359,1),(8360,1),(8365,1),(8447,1),(8466,1),(8797,1),(8815,1),(8818,1),(8820,1),(8832,1),(8853,1),(8868,1),(8903,1),(8932,1),(8934,1),(8970,1),(8971,1),(9287,1),(9292,1),(9322,1),(9556,1),(9557,1),(9570,1)}
6166:{4,5}:{(5603,1),(5621,1),(6486,1),(6637,1),(7584,1)}
6167:{1,2,6}:{(5489,1),(5547,1),(5610,1),(6638,1),(6696,1)}
6168:{1,2,5,7}:{(5490,1),(5548,1),(5609,1),(5614,1),(6480,1),(6640,1),(6700,1)}
6169:{1,2,5,7}:{(5491,1),(5549,1),(5602,1),(5615,1),(6639,1),(6698,1),(6701,1),(7584,1),(7611,1),(7668,1),(7670,1),(8428,1)}
6170:{1,2,4,5,7}:{(5493,1),(5550,1),(5607,1),(5608,1),(5612,1),(6416,1),(6417,1),(6495,1),(6575,1),(6642,1),(6653,1),(6705,1),(6706,1),(6713,1),(7284,1),(7295,1),(7353,1),(7384,1),(7386,1),(7539,1),(7611,1),(7640,1),(7654,1),(7660,1),(7670,1),(8129,1),(8187,1),(8188,1),(8207,1),(8255,1),(8259,1),(8284,1),(8300,1),(8342,1),(8344,1),(8357,1),(8358,1),(8379,1),(8432,1),(8467,1),(8791,1),(8860,1),(8893,1),(8896,1),(8901,1),(9384,1),(9515,1)}
6171:{1,2,4,5,6}:{(5492,1),(5551,1),(5609,1),(5611,1),(5616,1),(6485,1),(6492,1),(6493,1),(6577,1),(6643,1),(6702,1),(6703,1),(6707,1),(6712,1),(7344,1),(7459,1),(7503,1),(7559,1),(7584,1),(7656,1),(7668,1),(8135,1),(8180,1),(8200,1),(8208,1),(8372,1),(8374,1),(8419,1),(8450,1),(8460,1),(8795,1),(8929,1),(9021,1)}
6172:{1,2,4,5,7}:{(5494,1),(5552,1),(5610,1),(5611,1),(5617,1),(6496,1),(6576,1),(6644,1),(6699,1),(6702,1),(6708,1),(6714,1),(7354,1),(7537,1),(7584,1),(7655,1),(7668,1),(7691,1),(8208,1),(8258,1),(8298,1),(8372,1),(8419,1),(8450,1)}
6173:{1,2,7}:{(5495,1),(5553,1),(6645,1),(6716,1)}
6174:{1,2,4,6,7}:{(5496,1),(5555,1),(5613,1),(5614,1),(5626,1),(6498,1),(6503,1),(6646,1),(6697,1),(6700,1),(6719,1),(7384,1),(7385,1),(7588,1),(7591,1),(7642,1),(7669,1),(8239,1),(8240,1),(8358,1),(8360,1),(8431,1),(8463,1)}
6175:{1,2,4,7}:{(5497,1),(5554,1),(5616,1),(5627,1),(6508,1),(6647,1),(6720,1),(7579,1)}
6176:{1,2,4}:{(5498,1),(5556,1),(5628,1),(6346,1),(6349,1),(6648,1),(6658,1),(7406,1),(7532,1),(7535,1)}
6177:{2,4,6,7}:{(5557,1),(5619,1),(5620,1),(5647,1),(6512,1),(6513,1),(6696,1),(6698,1),(7506,1),(8261,1),(8264,1),(8806,1),(9255,1)}
6178:{4,7}:{(5621,1),(5648,1)}
6179:{1,2,5,6,7}:{(5502,1),(5560,1),(5622,1),(5623,1),(5625,1),(6516,1),(6655,1),(6664,1),(6695,1),(6700,1),(7522,1),(7682,1),(7703,1),(8354,1),(8392,1)}
6180:{1,2,5}:{(5504,1),(5562,1),(5634,1),(6658,1)}
6181:{1,2,5,6}:{(5505,1),(5565,1),(5633,1),(6435,1),(6436,1),(6518,1),(6520,1),(6672,1),(6713,1),(7530,1),(7531,1)}
6182:{1,2,5,6,7}:{(5506,1),(5567,1),(5608,1),(5624,1),(5632,1),(6514,1),(6651,1),(6701,1),(6706,1),(6711,1),(6713,1),(6716,1),(7497,1),(7530,1),(7669,1),(7670,1),(8187,1),(8207,1),(8342,1),(8358,1),(8364,1),(8791,1),(8901,1),(8908,1),(8940,1),(9280,1)}
6183:{1,2,5}:{(5507,1),(5569,1),(5635,1),(6721,1),(7532,1),(7535,1)}
6184:{1,2,5,6}:{(5508,1),(5570,1),(5628,1),(5629,1),(6612,1),(6707,1),(6715,1),(6717,1),(6718,1),(7380,1),(7668,1),(7683,1),(8135,1),(8239,1),(8361,1),(8970,1),(9292,1)}
6185:{1,2,5,7}:{(5509,1),(5571,1),(5628,1),(5636,1),(6708,1),(6715,1),(7532,1),(7668,1),(8258,1),(8360,1),(8361,1)}
6186:{1,2,6}:{(5510,1),(5572,1),(5630,1),(8353,1)}
6187:{1,2,6}:{(5511,1),(5568,1),(5631,1),(6720,1)}
6188:{1,2,7}:{(5512,1),(5573,1),(5629,1)}
6189:{1,2,7}:{(5513,1),(5575,1),(5633,1),(6438,1),(6439,1)}
6190:{1,2,6,7}:{(5514,1),(5576,1),(5634,1),(5636,1),(6529,1),(6711,1),(6715,1),(6716,1),(7530,1),(7532,1),(8358,1),(8360,1),(8806,1)}
6191:{1,2,7}:{(5515,1),(5577,1),(5635,1)}
6192:{1,2,4,6}:{(5517,1),(5578,1),(5629,1),(5637,1),(6553,1),(6718,1),(6724,1),(7518,1),(7683,1)}
6193:{1,2,4,7}:{(5518,1),(5579,1),(5630,1),(5637,1),(6531,1),(6561,1),(6658,1),(6722,1),(7542,1),(7642,1)}
6194:{1,2,4}:{(5519,1),(5631,1),(5682,1),(5683,1),(6565,1),(7532,1),(7535,1)}
6195:{1,2,3,5}:{(5503,1),(5581,1),(5600,1),(5657,1),(6307,1),(6309,1),(6379,1),(6380,1),(6594,1),(6657,1),(6662,1),(6718,1),(6752,1),(7256,1),(7260,1),(7380,1),(7383,1),(7472,1),(7473,1),(7527,1),(7584,1),(7602,1),(7635,1),(7668,1),(8197,1),(8325,1),(8361,1),(8363,1),(8450,1),(8911,1),(8932,2),(9276,1),(9292,1)}
6196:{1,2,3,5,6}:{(5520,1),(5582,1),(5622,1),(5640,1),(5645,1),(6534,1),(6598,1),(6638,1),(6659,1),(6662,1),(6710,1),(6715,1),(7430,1),(7513,1),(7545,1),(7584,1),(7602,1),(7606,1),(7632,1),(7668,1),(7693,1),(8450,1)}
6197:{1,2,3,5,6}:{(5522,1),(5583,1),(5624,1),(5638,1),(5649,1),(6536,1),(6602,1),(6660,1),(6679,1),(6716,1),(6727,1),(7428,1),(7514,1),(7546,1),(7604,1),(7633,1),(7670,1),(8207,1),(8233,1),(8267,1),(8869,1),(9336,1),(9544,1)}
6198:{1,2,3,5,7}:{(5521,1),(5584,1),(5623,1),(5639,1),(5652,1),(6371,1),(6373,1),(6599,1),(6640,1),(6661,1),(6717,1),(7387,1),(7413,1),(7468,1),(7469,1),(7522,1),(7634,1),(8323,1),(8359,1),(8360,1),(8436,1)}
6199:{1,2,3,6}:{(5523,1),(5563,1),(5642,1),(6454,1),(6455,1),(6523,1),(6525,1),(6676,1),(7703,1)}
6200:{1,2,3,5,6}:{(5524,1),(5564,1),(5641,1),(5684,1),(5685,1),(6673,1),(6683,1),(6712,1),(6729,1),(6752,1),(6753,1),(7557,1),(7700,1),(7703,1),(8391,1),(8876,1),(8932,1)}
6201:{1,2,3,5,7}:{(5525,1),(5566,1),(5641,1),(5658,1),(6447,1),(6448,1),(6519,1),(6521,1),(6674,1),(6684,1),(6714,1),(6730,1),(7468,1),(7469,1),(7488,1),(7489,1),(7521,1),(7522,1),(7532,1),(7535,1),(7701,1),(8323,1),(8324,1),(8359,1),(8360,1)}
6202:{1,2,3,6,7}:{(5528,1),(5585,1),(5625,1),(5645,1),(5646,1),(6539,1),(6675,1),(6677,1),(6719,1),(7427,1),(7683,1),(7703,1),(8353,1),(8391,1)}
6203:{1,2,3,5}:{(5527,1),(5586,1),(5628,1),(5653,1),(6627,1),(6648,1),(6709,1),(6736,1),(7532,1),(7638,1),(8378,1),(8409,1)}
6204:{1,2,3,6,7}:{(5531,1),(5588,1),(5632,1),(5649,1),(5650,1),(6541,1),(6595,1),(6638,1),(6692,1),(6737,1),(7425,1),(7574,1),(7695,1)}
6205:{1,2,3,6}:{(5532,1),(5589,1),(5633,1),(5651,1),(6456,1),(6457,1),(6693,1),(6737,1),(7308,1),(7310,1)}
6206:{1,2,3,6}:{(5533,1),(5592,1),(5634,1),(5654,1),(6716,1),(6727,1),(6743,1),(7532,1),(7633,1),(8233,1),(8409,1)}
6207:{1,2,3,6}:{(5534,1),(5593,1),(5635,1),(5655,1),(6733,1),(6741,1),(6744,1)}
6208:{1,2,3,7}:{(5535,1),(5594,1),(5636,1),(5653,1),(6645,1),(6745,1),(8274,1),(8866,1)}
6209:{1,2,3,6}:{(5536,1),(5595,1),(5629,1),(5656,1),(6552,1),(6612,1),(6742,1),(7397,1)}
6210:{1,2,3,5,7}:{(5537,1),(5596,1),(5630,1),(5654,1),(5656,1),(6548,1),(6559,1),(6560,1),(6704,1),(6727,1),(6738,1),(6742,1),(7432,1),(7532,1),(7533,1),(7544,1),(7568,1),(8189,1),(8358,1),(8360,1),(8361,1),(8409,1),(8426,1),(8861,1),(8872,1),(8874,1),(9002,1)}
6211:{1,2,3,5}:{(5538,1),(5591,1),(5631,1),(5655,1),(6562,1),(6564,1),(6740,1)}
6212:{1,2,3,4,6,7}:{(5516,1),(5597,1),(5618,1),(5652,1),(5657,1),(6326,1),(6328,1),(6402,1),(6404,1),(6605,1),(6661,1),(6675,1),(6677,1),(6724,1),(6725,1),(6756,1),(7272,1),(7283,1),(7327,1),(7385,1),(7387,1),(7424,1),(7427,1),(7494,1),(7495,1),(7543,1),(7575,1),(7576,1),(7578,1),(7591,1),(7600,1),(7607,1),(7634,1),(7641,1),(7672,1),(7683,1),(7703,1),(8128,1),(8221,1),(8237,1),(8239,1),(8241,1),(8275,1),(8281,1),(8307,1),(8323,1),(8351,1),(8359,1),(8360,1),(8389,1),(8391,1),(8440,1),(8454,1),(8807,1),(8818,1),(8830,1),(8839,1),(8853,1),(8854,1),(8856,1),(8887,1),(8918,1),(8945,1),(8970,1),(8971,1),(9245,1),(9298,1),(9307,1),(9523,1),(9570,1),(9571,1)}
6213:{1,2,4,6}:{(5539,1),(5598,1),(5653,1),(5659,1),(6551,1),(6616,1),(6709,1),(6736,1),(6744,1),(6745,1),(7695,1)}
6214:{1,2,4,7}:{(5540,1),(5599,1),(5654,1),(5659,1),(6554,1),(6557,1),(6558,1),(6743,1),(8284,1),(8866,1),(9324,1)}
6215:{1,4}:{(5541,1),(5655,1),(6563,1)}
6216:{1,2,4,5,7}:{(5663,1),(5668,1),(5674,1),(6569,1),(6747,1),(6751,1),(7610,1),(7639,1),(7650,1),(8197,1),(8250,1),(8291,1),(8466,1),(8797,1),(8932,1),(9292,1),(9570,1)}
6217:{4,5,7}:{(5665,1),(5667,1),(5672,1),(6748,1),(7327,1),(8128,1),(8197,1),(8797,1)}
6218:{4,5,7}:{(5664,1),(5666,1),(5673,1),(6746,1),(6749,1)}
6219:{2,3,5}:{(5663,1),(5671,1),(6584,1),(7602,1),(8325,1)}
6220:{3,5}:{(5664,1),(5669,1),(6752,1)}
6221:{3,4,5}:{(5665,1),(5670,1),(6580,1),(6594,1),(6621,1),(6754,1),(7340,1),(7359,1),(8325,1),(8797,1),(9276,1),(9570,1)}
6222:{2,3,4,6,7}:{(5668,1),(5671,1),(5676,1),(6587,1),(6751,1),(7594,1),(7607,1),(7634,1),(8221,1),(8275,1),(8323,1),(8440,1),(8839,1),(8945,1),(9307,1),(9570,1)}
6223:{3,4,7}:{(5667,1),(5670,1),(5675,1),(6755,1),(7338,1),(8128,1),(8323,1)}
6224:{3,4,7}:{(5666,1),(5669,1),(5677,1),(6749,1),(6756,1)}
6225:{2,5,6}:{(5660,1),(5673,1),(6566,1),(6607,1),(6746,1)}
6226:{1,2,5,6}:{(5662,1),(5674,1),(6618,1),(7647,1),(7683,1),(7703,1),(9278,1)}
6227:{2,3,5,6}:{(5661,1),(5672,1),(6566,1),(6607,1),(6695,1),(6748,1),(7360,1),(7361,1),(7376,1),(7424,1),(7427,1),(7593,1),(7600,1),(7619,1),(8197,1),(8200,1),(8237,1),(8239,1)}
6228:{1,4,6}:{(5669,1),(5682,1),(5685,1),(6752,1),(6756,1),(7703,1)}
6229:{1,4,6}:{(5670,1),(5683,1),(5686,1),(6754,1),(6755,1),(8172,1),(8176,1)}
6230:{1,2,3,4,6}:{(5671,1),(5681,1),(5684,1),(6673,1),(6753,1),(7665,1),(7686,1),(7700,1),(8414,1),(9014,1)}
6231:{1,2,3,6,7}:{(5676,1),(5678,1),(5684,1),(6729,1),(7662,1),(7682,1),(7703,1),(8391,1),(9302,1)}
6232:{1,2,3,5,7}:{(5675,1),(5680,1),(5686,1),(6689,1),(6720,1),(6728,1),(6755,1),(7468,1),(7469,1),(7521,1),(7522,1),(7576,1),(7648,1),(7659,1),(7680,1),(8323,1),(8324,1),(8359,1),(8360,1)}
6233:{1,2,3,7}:{(5677,1),(5679,1),(5685,1),(6689,1),(6720,1),(6756,1)}
6234:{3}:{(5710,1)}
6235:{3,4,5,7}:{(5718,1),(5839,1),(5847,1),(5858,1),(6762,1),(6816,1),(6847,1),(6923,1),(6949,1),(7114,1),(7150,1),(7706,1),(7732,1),(7806,1),(7812,1),(7958,1),(8032,1),(8531,1),(8677,1),(8681,1),(9233,1)}
6236:{2,3,4,5}:{(5716,1),(5785,1),(5840,1),(5849,1),(6770,1),(6813,1),(6848,1),(6905,1),(6924,1),(7711,1),(7959,1),(8532,1),(9124,1)}
6237:{2,3,4,5}:{(5711,1),(5786,1),(5842,1),(5850,1),(6768,1),(6811,1),(6849,1),(6904,1),(6925,1),(7708,1),(7866,1),(8740,1)}
6238:{2,3,5}:{(5714,1),(5785,1),(5850,1),(6758,1),(6810,1)}
6239:{2,3,7}:{(5703,1),(5783,1),(5855,1),(6763,1),(6902,1),(7124,1),(8040,1)}
6240:{3,4}:{(5704,1),(5840,1),(6848,1)}
6241:{3,4,5,7}:{(5717,1),(5841,1),(5848,1),(5858,1),(6760,1),(6807,1),(6846,1),(6922,1),(6949,1),(7114,1),(7150,1),(7710,1),(7722,1),(7808,1),(8032,1)}
6242:{3,5,7}:{(5713,1),(5848,1),(5856,1),(6771,1),(6806,1),(6922,1),(6947,1)}
6243:{2,3,7}:{(5705,1),(5784,1),(5855,1),(6772,1),(6903,1),(8630,1)}
6244:{2,3,4,7}:{(5715,1),(5784,1),(5841,1),(5857,1),(6766,1),(6846,1),(6903,1),(7114,1),(7124,1),(7160,1),(7808,1),(7848,1),(8025,1),(8040,1),(8044,1),(8059,1),(8765,1)}
6245:{2,3,5}:{(5706,1),(5786,1),(5849,1),(6769,1),(6815,1)}
6246:{3,4}:{(5712,1),(5842,1),(7124,1)}
6247:{3,5,7}:{(5709,1),(5847,1),(5856,1),(6765,1),(6814,1),(6923,1),(6947,1),(9491,1)}
6248:{3}:{(5707,1)}
6249:{2,3,4,7}:{(5708,1),(5783,1),(5839,1),(5857,1),(6759,1),(6847,1),(6902,1),(7114,1),(7160,1),(7806,1),(7847,1),(7870,1),(8537,1),(9127,1)}
6250:{4,6}:{(5709,1),(5733,1),(6765,1),(6784,1)}
6251:{1,2,4,6}:{(5715,1),(5719,1),(5801,1),(5883,1),(6766,1),(6787,1),(6886,1),(7100,1),(7102,1),(7168,1),(7816,1),(7902,1),(7922,1),(7984,1),(8050,1),(8070,1),(8075,1),(8556,1),(8602,1),(8773,1),(9132,1),(9158,1)}
6252:{4,6}:{(5713,1),(5724,1),(6771,1)}
6253:{1,4,6}:{(5704,1),(5725,1),(5802,1),(6767,1),(6783,1),(6797,1),(7751,1)}
6254:{1,2,4,6}:{(5708,1),(5731,1),(5799,1),(5885,1),(6759,1),(6785,1),(6887,1),(7102,1),(7841,1),(7982,1),(8075,1),(8550,1)}
6255:{2,4,6}:{(5706,1),(5730,1),(5884,1),(6769,1),(6779,1),(6799,1),(7712,1),(9509,1)}
6256:{4,6}:{(5718,1),(5732,1),(6776,1)}
6257:{1,2,4,6}:{(5705,1),(5729,1),(5799,1),(5883,1),(6772,1),(6786,1),(6886,1),(7716,1),(7984,1),(8556,1)}
6258:{2,4,6}:{(5711,1),(5723,1),(5884,1),(6790,1),(7100,1),(8604,1)}
6259:{2,4,6}:{(5714,1),(5726,1),(5886,1),(6758,1),(6801,1),(6889,1)}
6260:{1,4,6}:{(5712,1),(5728,1),(5800,1),(6764,1),(6777,1),(6804,1),(7100,1),(7902,1)}
6261:{1,2,4,6}:{(5703,1),(5727,1),(5801,1),(5885,1),(6763,1),(6789,1),(6887,1),(7168,1),(7864,1),(7982,1),(8556,1)}
6262:{4,6}:{(5717,1),(5734,1)}
6263:{2,4,6}:{(5716,1),(5722,1),(5886,1),(6778,1),(6793,1),(6889,1)}
6264:{1,4,6}:{(5710,1),(5720,1),(5802,1),(6773,1),(6781,1),(6794,1),(7715,1),(7746,1),(8488,1)}
6265:{1,4,6}:{(5707,1),(5721,1),(5800,1),(6761,1),(6775,1),(6803,1),(9445,1)}
6266:{2,3,5,7}:{(5702,1),(5723,1),(5957,1),(5982,1),(6790,1),(6938,1),(7020,1),(7131,1),(7834,1),(7849,1)}
6267:{1,2,5,7}:{(5701,1),(5721,1),(5830,1),(5981,1),(6803,1),(7053,1),(7976,1)}
6268:{1,2,3,6,7}:{(5687,1),(5731,1),(5827,1),(5955,1),(5983,1),(6800,1),(6941,1),(7017,1),(7052,1),(7152,1),(7219,1),(7881,1),(8015,1),(8058,1),(8098,1),(8500,1),(8612,1),(9102,1),(9114,1)}
6269:{2,6,7}:{(5690,1),(5733,1),(5985,1),(6798,1),(8505,1)}
6270:{1,2,3,5,6,7}:{(5698,1),(5719,1),(5828,1),(5956,1),(5979,1),(5983,1),(6795,1),(6939,1),(7017,1),(7019,1),(7050,1),(7131,1),(7148,1),(7152,1),(7213,1),(7219,1),(7733,1),(7747,1),(7784,1),(7837,1),(7848,1),(7876,1),(7881,1),(7887,1),(7967,1),(7974,1),(7978,1),(7997,1),(7999,1),(8015,1),(8026,1),(8040,1),(8055,1),(8058,1),(8087,1),(8097,1),(8098,1),(8100,1),(8108,1),(8568,1),(8570,1),(8612,1),(8628,1),(8686,1),(8691,1),(8701,1),(8720,1),(8728,1),(8752,1),(8757,1),(8762,1),(8765,1),(8771,1),(8784,1),(9043,1),(9048,1),(9105,1),(9106,1),(9107,1),(9115,1),(9160,1),(9192,1),(9211,1)}
6271:{1,2,3,7}:{(5696,1),(5725,1),(5829,1),(5958,1),(6797,1),(6940,1),(7051,1),(7782,1)}
6272:{2,5,6,7}:{(5689,1),(5724,1),(5980,1),(5985,1),(6802,1),(7015,1),(7021,1),(7740,1),(9046,1)}
6273:{1,2,6,7}:{(5693,1),(5729,1),(5827,1),(5986,1),(7016,1),(7131,1),(8098,1)}
6274:{2,3,6,7}:{(5688,1),(5732,1),(5955,1),(5984,1),(6805,1),(7014,1),(7879,1)}
6275:{2,5,7}:{(5697,1),(5726,1),(5980,1),(6801,1)}
6276:{1,2,7}:{(5699,1),(5720,1),(5829,1),(6794,1),(8508,1)}
6277:{2,3,7}:{(5700,1),(5722,1),(5958,1),(6793,1)}
6278:{2,3,5,6,7}:{(5694,1),(5734,1),(5956,1),(5982,1),(5984,1),(6791,1),(6939,1),(7014,1),(7020,1),(7148,1),(7152,1),(7722,1),(7753,1),(7879,1),(8026,1)}
6279:{1,2,3,5,7}:{(5692,1),(5728,1),(5830,1),(5957,1),(5979,1),(6804,1),(6938,1),(7019,1),(7053,1),(7148,1),(7213,1),(7730,1),(7773,1),(7976,1),(8040,1)}
6280:{1,2,5,6,7}:{(5695,1),(5727,1),(5828,1),(5981,1),(5986,1),(6792,1),(7016,1),(7018,1),(7050,1),(7213,1),(7219,1),(7745,1),(7974,1),(8087,1),(8097,1),(8098,1),(8506,1),(8693,1),(8701,1),(9053,1),(9096,1)}
6281:{2,7}:{(5691,1),(5730,1)}
6282:{4,5,6,7}:{(5738,1),(5741,1),(5803,1),(6011,1),(6829,1),(6885,1),(7094,1),(7095,1),(7753,1),(7787,1),(8026,1)}
6283:{4,6,7}:{(5737,1),(5739,1),(5806,1),(6826,1),(7098,1)}
6284:{4,5,6,7}:{(5736,1),(5740,1),(5805,1),(6011,1),(6828,1),(7094,1),(7095,1),(7098,1),(7788,1),(7793,1),(7804,1),(8026,1),(8029,1),(8031,1),(8479,1),(8577,1),(8585,1),(8750,1),(9142,1)}
6285:{4,6,7}:{(5735,1),(5742,1),(5804,1),(6827,1),(6884,1)}
6286:{4,6}:{(5746,1),(5823,1),(6827,1),(6889,1)}
6287:{4,6}:{(5743,1),(5824,1),(6826,1)}
6288:{4,6}:{(5744,1),(5825,1),(6823,1),(6828,1),(7716,1)}
6289:{4,6}:{(5745,1),(5826,1),(6825,1),(6829,1),(6887,1)}
6290:{3,5,7}:{(5738,1),(5747,1),(5751,1),(6973,1)}
6291:{3,5,7}:{(5736,1),(5749,1),(5753,1),(6970,1)}
6292:{3,5,7}:{(5737,1),(5748,1),(5754,1),(6834,1),(6971,1)}
6293:{3,5,7}:{(5735,1),(5750,1),(5752,1),(6836,1),(6972,1),(8584,1)}
6294:{3,4,6}:{(5742,1),(5750,1),(5758,1),(6845,1),(6867,1),(6899,1),(6977,1),(7815,1),(7843,1),(7956,1),(8487,1)}
6295:{3,4,5,6}:{(5740,1),(5749,1),(5756,1),(6026,1),(6841,1),(6843,1),(6868,1),(6898,1),(6974,1),(7108,1),(7817,1),(7883,1),(8032,1),(8588,1),(9178,1),(9508,1)}
6296:{3,4,5,6}:{(5741,1),(5747,1),(5757,1),(6026,1),(6839,1),(6844,1),(6866,1),(6900,1),(6975,1),(7108,1),(7721,1),(7816,1),(7884,1),(7954,1),(8032,1),(8535,1),(8683,1),(9128,1),(9506,1)}
6297:{3,4,6}:{(5739,1),(5748,1),(5755,1),(6869,1),(6901,1),(6976,1),(7842,1)}
6298:{3,4,5}:{(5743,1),(5762,1),(6030,1),(6838,1),(6849,1),(6904,1),(6979,1)}
6299:{3,4}:{(5744,1),(5761,1),(6903,1),(6980,1)}
6300:{3,4,5}:{(5746,1),(5759,1),(6030,1),(6840,1),(6848,1),(6905,1),(6981,1),(7711,1),(7959,1)}
6301:{3,4}:{(5745,1),(5760,1),(6847,1),(6902,1),(6978,1)}
6302:{4}:{(5809,1)}
6303:{4}:{(5808,1)}
6304:{3,4}:{(5807,1),(6014,1),(6983,1),(7124,1)}
6305:{3,4}:{(5810,1),(6014,1),(6985,1),(7124,1)}
6306:{3,5,6}:{(5776,1),(5859,1),(6037,1),(6824,1),(6851,1),(6986,1),(8027,1)}
6307:{3,5}:{(5777,1),(5861,1),(6825,1)}
6308:{3,5,6}:{(5775,1),(5862,1),(6037,1),(6822,1),(6850,1),(6988,1),(8587,1)}
6309:{3,5}:{(5778,1),(5860,1),(6823,1)}
6310:{3,5,6}:{(5760,1),(5767,1),(5869,1),(6839,1),(6854,1),(6859,1),(7954,1)}
6311:{3,5,6}:{(5762,1),(5769,1),(5868,1),(6838,1),(6855,1),(6869,1),(8533,1)}
6312:{3,5,6}:{(5759,1),(5768,1),(5870,1),(6840,1),(6857,1),(6867,1),(7956,1)}
6313:{3,5,6}:{(5761,1),(5770,1),(5867,1),(6841,1),(6856,1),(6860,1)}
6314:{3,5,7}:{(5765,1),(5780,1),(5864,1),(6862,1),(7000,1),(8594,1)}
6315:{3,5,7}:{(5763,1),(5779,1),(5863,1),(6863,1)}
6316:{3,5,7}:{(5764,1),(5782,1),(5866,1),(6865,1),(7001,1)}
6317:{3,5,7}:{(5766,1),(5781,1),(5865,1),(6864,1)}
6318:{3,5,7}:{(5759,1),(5773,1),(5873,1),(6867,1)}
6319:{3,5,7}:{(5761,1),(5774,1),(5874,1),(6868,1),(6873,1),(7124,1),(8040,1),(8043,1)}
6320:{3,5,7}:{(5762,1),(5772,1),(5872,1),(6869,1),(7124,1),(8040,1),(8041,1)}
6321:{3,5,7}:{(5760,1),(5771,1),(5871,1),(6866,1),(6872,1)}
6322:{3,7}:{(5769,1),(5878,1)}
6323:{3,6,7}:{(5770,1),(5877,1),(6047,1),(6856,1),(8040,1)}
6324:{3,7}:{(5768,1),(5876,1)}
6325:{3,6,7}:{(5767,1),(5875,1),(6047,1),(6854,1)}
6326:{3,4,6,7}:{(5777,1),(5779,1),(5831,1),(5879,1),(6829,1),(6852,1),(6863,1),(6943,1),(7787,1),(7792,1),(7796,1),(8489,1)}
6327:{3,4,6,7}:{(5776,1),(5780,1),(5833,1),(5881,1),(6827,1),(6851,1),(6862,1),(6876,1),(6945,1),(7006,1),(7789,1),(7790,1),(7794,1),(7823,1),(8594,1)}
6328:{3,4,6,7}:{(5778,1),(5781,1),(5834,1),(5880,1),(6828,1),(6853,1),(6864,1),(7788,1)}
6329:{3,4,6,7}:{(5775,1),(5782,1),(5832,1),(5882,1),(6826,1),(6850,1),(6865,1),(6877,1),(7009,1),(7786,1),(7822,1),(8486,1)}
6330:{3,4,6}:{(5770,1),(5784,1),(5883,1),(6772,1),(6860,1),(7716,1),(7954,1),(8537,1)}
6331:{3,4,6}:{(5767,1),(5783,1),(5885,1),(6763,1),(6859,1),(7714,1),(7954,1),(8537,1)}
6332:{3,4,6}:{(5769,1),(5786,1),(5884,1),(6769,1),(6858,1),(6877,1),(7012,1),(7712,1),(8533,1)}
6333:{3,4,6}:{(5768,1),(5785,1),(5886,1),(6758,1),(6861,1),(6876,1),(7013,1)}
6334:{2,4,5,7}:{(5737,1),(5790,1),(5798,1),(6053,1),(6880,1),(6883,1),(6893,1),(7098,1)}
6335:{2,5,7}:{(5738,1),(5789,1),(5797,1)}
6336:{2,4,5,7}:{(5736,1),(5787,1),(5795,1),(6053,1),(6890,1),(7098,1)}
6337:{2,5,7}:{(5735,1),(5788,1),(5796,1),(6881,1),(6884,1)}
6338:{4,5}:{(5800,1),(6054,1),(6897,1)}
6339:{5}:{(5802,1)}
6340:{2,5}:{(5799,1),(6009,1)}
6341:{2,4,5}:{(5801,1),(6009,1),(6054,1),(6894,1),(7099,1),(7130,1)}
6342:{2,6}:{(5742,1),(5791,1)}
6343:{2,4,5,6}:{(5740,1),(5794,1),(6058,1),(6059,1),(6886,1),(6898,1),(7130,1),(7133,1),(7861,1),(9508,1)}
6344:{2,5,6}:{(5741,1),(5792,1),(6059,1),(6887,1),(7130,1),(9506,1)}
6345:{2,4,6}:{(5739,1),(5793,1),(6058,1),(6901,1)}
6346:{2}:{(5745,1)}
6347:{2,4,5}:{(5743,1),(6061,1),(6062,1),(6888,1),(6904,1),(7132,1),(7136,1)}
6348:{2,5}:{(5746,1),(6062,1),(6889,1)}
6349:{2,4}:{(5744,1),(6061,1),(6903,1)}
6350:{4,7}:{(5800,1),(5830,1)}
6351:{2,4,6,7}:{(5801,1),(5828,1),(6018,1),(6067,1),(6879,1),(7098,1),(7129,1),(7792,1),(7796,1),(8029,1),(8479,1),(8496,1),(8600,1),(8750,1),(9150,1)}
6352:{2,4,6,7}:{(5799,1),(5827,1),(6018,1),(6067,1),(6878,1),(7129,1),(7796,1)}
6353:{4,7}:{(5802,1),(5829,1),(6881,1)}
6354:{2,3,5,6}:{(5748,1),(5790,1),(5810,1),(5813,1),(6842,1),(6893,1),(6897,1),(6901,1),(7045,1),(7842,1),(7860,1)}
6355:{2,3,5,6}:{(5750,1),(5788,1),(5808,1),(5812,1),(6845,1),(6892,1),(6896,1),(6899,1),(7044,1),(7843,1),(7859,1),(7956,1),(8614,1),(8732,1)}
6356:{2,3,5,6}:{(5749,1),(5787,1),(5807,1),(5814,1),(6843,1),(6890,1),(6894,1),(7043,1)}
6357:{2,3,5,6}:{(5747,1),(5789,1),(5809,1),(5811,1),(6844,1),(6891,1),(6895,1),(7042,1),(7954,1)}
6358:{2,3,5,7}:{(5755,1),(5793,1),(5810,1),(5815,1),(6901,1),(6904,1),(6907,1),(7048,1),(7849,1),(7860,1)}
6359:{2,3,5,7}:{(5756,1),(5794,1),(5807,1),(5816,1),(6898,1),(6903,1),(6908,1),(7049,1),(7848,1),(7867,1),(9047,1)}
6360:{2,3,5,7}:{(5758,1),(5791,1),(5808,1),(5818,1),(6899,1),(6905,1),(6909,1),(7047,1),(7846,1),(7859,1),(8024,1),(8501,1),(8732,1)}
6361:{2,3,5,7}:{(5757,1),(5792,1),(5809,1),(5817,1),(6900,1),(6902,1),(6906,1),(7046,1),(7847,1),(7869,1),(8025,1),(8506,1),(8739,1)}
6362:{2,3,7}:{(5754,1),(5798,1),(5813,1),(6913,1),(7053,1)}
6363:{2,3,7}:{(5752,1),(5796,1),(5812,1),(6911,1),(7051,1),(8508,1)}
6364:{2,3,6,7}:{(5751,1),(5797,1),(5811,1),(6079,1),(6891,1),(7052,1),(7847,1)}
6365:{2,3,6,7}:{(5753,1),(5795,1),(5814,1),(6079,1),(6890,1),(7050,1),(7848,1)}
6366:{2,3,4,6}:{(5801,1),(5814,1),(5820,1),(6035,1),(6763,1),(6843,1),(6894,1),(7056,1),(7714,1)}
6367:{2,3,4,6}:{(5799,1),(5811,1),(5822,1),(6035,1),(6772,1),(6844,1),(6895,1),(7057,1),(7716,1),(7954,1),(8537,1)}
6368:{3,4,6}:{(5800,1),(5813,1),(5819,1),(6761,1),(6897,1),(6913,1),(7055,1),(7720,1),(7842,1)}
6369:{3,4,6}:{(5802,1),(5812,1),(5821,1),(6773,1),(6845,1),(6896,1),(6911,1),(7054,1),(7715,1),(7843,1),(7956,1),(8488,1),(8527,1)}
6370:{2,3,5,7}:{(5824,1),(5832,1),(5916,1),(6036,1),(6826,1),(6850,1),(6855,1),(7131,1),(7834,1),(7849,1)}
6371:{3,5,7}:{(5826,1),(5831,1),(5917,1),(6829,1)}
6372:{3,5,7}:{(5823,1),(5833,1),(5915,1),(6827,1)}
6373:{2,3,5,7}:{(5825,1),(5834,1),(5918,1),(6036,1),(6828,1),(6853,1),(6856,1),(7131,1),(7837,1),(7848,1)}
6374:{2,3,5}:{(5762,1),(5836,1),(5925,1),(6849,1),(7124,1),(8043,1),(8059,1)}
6375:{2,3,5}:{(5760,1),(5835,1),(5924,1),(6847,1),(6902,1),(6923,1),(7869,1)}
6376:{2,3,5}:{(5761,1),(5837,1),(5926,1),(6846,1),(6903,1),(6922,1),(7124,1),(8043,1),(8059,1)}
6377:{2,3,5}:{(5759,1),(5838,1),(5923,1),(6848,1)}
6378:{2,3,5,6}:{(5764,1),(5845,1),(5921,1),(6093,1),(6831,1),(6927,1),(6932,1),(7068,1),(7151,1)}
6379:{2,3,5}:{(5766,1),(5844,1),(5922,1),(6833,1)}
6380:{2,3,5}:{(5763,1),(5843,1),(5919,1),(6832,1)}
6381:{2,3,5,6}:{(5765,1),(5846,1),(5920,1),(6093,1),(6830,1),(6926,1),(6931,1),(7067,1),(7151,1),(7894,1),(8027,1)}
6382:{2,3,6}:{(5770,1),(5841,1),(5928,1),(6760,1),(8754,1)}
6383:{2,3,6}:{(5769,1),(5842,1),(5930,1),(6764,1),(6938,1),(8630,1)}
6384:{2,3,6}:{(5767,1),(5839,1),(5929,1),(6762,1),(7954,1),(8618,1)}
6385:{2,3,6}:{(5768,1),(5840,1),(5927,1),(6767,1),(6940,1),(7956,1)}
6386:{2,3,7}:{(5773,1),(5838,1),(5931,1)}
6387:{2,3,6,7}:{(5771,1),(5835,1),(5932,1),(6099,1),(6935,1),(6953,1),(7154,1),(8025,1),(8505,1),(8618,1)}
6388:{2,3,7}:{(5772,1),(5836,1),(5934,1),(8594,1),(8630,1)}
6389:{2,3,6,7}:{(5774,1),(5837,1),(5933,1),(6099,1),(6936,1),(6950,1),(7154,1),(8502,1),(8594,1),(8620,1),(8632,1),(8754,1),(9087,1)}
6390:{2,3,6}:{(5777,1),(5853,1),(5935,1),(6761,1),(6887,1),(6915,1)}
6391:{2,3,4,6}:{(5778,1),(5851,1),(5936,1),(6096,1),(6764,1),(6886,1),(6914,1),(7100,1),(7102,1),(7814,1),(8050,1)}
6392:{2,3,6}:{(5776,1),(5854,1),(5938,1),(6771,1),(6889,1),(7078,1),(8046,1),(9405,1)}
6393:{2,3,4,6}:{(5775,1),(5852,1),(5937,1),(6096,1),(6760,1),(6888,1),(6917,1),(7079,1),(7100,1),(7102,1),(7151,1),(7795,1),(7814,1),(7882,1),(7891,1),(8030,1),(8042,1),(8046,1),(8050,1),(8493,1),(8599,1),(8603,1),(8619,1),(8620,1),(8754,1),(9240,1)}
6394:{2,3,4,6}:{(5836,1),(5850,1),(5946,1),(6051,1),(6758,1),(6849,1),(6925,1),(6952,1),(7082,1),(7719,1),(7814,1),(7882,1)}
6395:{3,4,6}:{(5837,1),(5848,1),(5945,1),(6771,1),(6846,1),(6922,1),(7083,1)}
6396:{3,4,6}:{(5835,1),(5847,1),(5943,1),(6765,1),(6847,1),(6923,1),(7084,1),(7717,1),(7958,1),(8529,1),(9123,1)}
6397:{2,3,4,6}:{(5838,1),(5849,1),(5944,1),(6051,1),(6769,1),(6848,1),(6924,1),(6951,1),(7085,1),(7712,1),(7815,1),(7885,1),(7959,1),(8533,1),(8684,1),(9124,1),(9509,1)}
6398:{3,6}:{(5856,1),(5949,1),(6947,1),(7088,1)}
6399:{2,3,4,6}:{(5857,1),(5950,1),(6052,1),(6098,1),(6929,1),(6946,1),(7115,1),(7159,1),(7881,1),(7895,1),(7954,1),(8537,1),(8734,1),(9086,1),(9127,1)}
6400:{2,3,6}:{(5855,1),(5948,1),(6052,1),(6928,1),(6948,1),(7954,1),(8630,1)}
6401:{3,4,6}:{(5858,1),(5947,1),(6098,1),(6927,1),(6949,1),(7087,1)}
6402:{2,3,7}:{(5779,1),(5843,1),(5942,1)}
6403:{2,3,4,7}:{(5782,1),(5845,1),(5940,1),(6100,1),(6932,1),(6949,1),(7090,1),(7104,1)}
6404:{2,3,4,7}:{(5781,1),(5844,1),(5939,1),(6100,1),(6933,1),(7104,1)}
6405:{2,3,7}:{(5780,1),(5846,1),(5941,1),(6947,1),(7093,1)}
6406:{5,7}:{(5859,1),(5881,1)}
6407:{5,7}:{(5862,1),(5882,1)}
6408:{1,5,7}:{(5861,1),(5879,1),(6007,1),(6852,1),(6957,1),(9072,1)}
6409:{1,5,7}:{(5860,1),(5880,1),(6007,1),(6853,1),(6954,1),(8026,1)}
6410:{1,4,6}:{(5865,1),(6008,1),(6104,1),(6864,1),(6954,1),(7017,1),(7788,1),(7795,1)}
6411:{6,7}:{(5864,1),(6106,1)}
6412:{6,7}:{(5866,1),(6106,1)}
6413:{1,4,6}:{(5863,1),(6008,1),(6104,1),(6863,1),(6957,1),(7016,1),(7787,1),(7796,1)}
6414:{1,4,5,7}:{(5738,1),(5869,1),(5875,1),(5917,1),(6829,1),(6854,1),(6973,1),(7023,1),(7806,1),(7908,1),(7917,1)}
6415:{1,4,5,7}:{(5736,1),(5867,1),(5877,1),(5918,1),(6828,1),(6856,1),(6970,1),(7909,1)}
6416:{1,4,5,7}:{(5735,1),(5870,1),(5876,1),(5915,1),(6827,1),(6857,1),(6961,1),(6963,1),(6972,1),(7022,1),(7807,1),(7906,1),(7914,1),(7943,1),(8584,1)}
6417:{1,4,5,7}:{(5737,1),(5868,1),(5878,1),(5916,1),(6826,1),(6855,1),(6959,1),(6962,1),(6971,1),(7907,1),(7942,1),(8514,1)}
6418:{1,4,5}:{(5861,1),(5885,1),(6009,1),(6785,1),(6825,1),(6859,1),(7173,1),(7706,1)}
6419:{4,5,6}:{(5862,1),(5884,1),(6108,1),(6779,1),(6858,1),(6959,1),(7163,1),(7712,1),(8587,1)}
6420:{1,4,5}:{(5860,1),(5883,1),(6009,1),(6786,1),(6823,1),(6860,1),(7173,1),(7716,1)}
6421:{4,5,6}:{(5859,1),(5886,1),(6108,1),(6778,1),(6861,1),(6961,1),(7163,1)}
6422:{1,4,6}:{(5739,1),(5872,1),(5951,1),(6869,1),(7163,1),(8079,1)}
6423:{1,4,5,6}:{(5740,1),(5874,1),(5952,1),(6112,1),(6868,1),(6967,1),(7164,1),(7168,1),(7918,1)}
6424:{1,4,6}:{(5742,1),(5873,1),(5954,1),(6867,1),(7036,1),(7163,1),(7751,1),(7815,1),(8079,1),(8487,1)}
6425:{1,4,5,6}:{(5741,1),(5871,1),(5953,1),(6112,1),(6866,1),(6966,1),(7035,1),(7164,1),(7816,1)}
6426:{1,4,5,7}:{(5743,1),(5974,1),(6115,1),(6826,1),(6871,1),(6969,1),(6979,1),(7097,1),(7103,1),(7166,1),(7170,1),(7791,1),(7811,1),(7903,1),(7907,1),(7929,1),(7932,1),(8028,1),(8068,1),(8514,1),(8643,1),(8759,1),(8782,1),(9200,1),(9205,1)}
6427:{1,4,5,7}:{(5746,1),(5972,1),(6115,1),(6827,1),(6870,1),(6968,1),(6981,1),(7040,1),(7097,1),(7166,1),(7906,1),(9488,1)}
6428:{1,4,7}:{(5744,1),(5973,1),(6828,1),(6873,1),(6967,1),(6980,1),(7103,1),(7170,1)}
6429:{1,4,7}:{(5745,1),(5971,1),(6829,1),(6872,1),(6966,1),(6978,1),(7039,1)}
6430:{1,4,6,7}:{(5885,1),(5975,1),(6018,1),(6119,1),(6829,1),(6874,1),(6960,1),(7162,1),(7787,1),(7792,1),(7796,1),(7806,1),(7908,1),(7917,1),(8479,1),(8482,1),(8515,1),(8525,1),(8641,1),(8648,1),(8652,1),(8660,1),(8750,1)}
6431:{1,4,6,7}:{(5883,1),(5977,1),(6018,1),(6119,1),(6828,1),(6875,1),(6958,1),(7162,1),(7788,1),(7796,1),(7909,1),(7917,1),(8479,1),(8515,1),(8647,1),(8652,1),(8660,1)}
6432:{4,7}:{(5884,1),(5976,1)}
6433:{4,7}:{(5886,1),(5978,1)}
6434:{1,5,6}:{(5747,1),(5888,1),(5891,1),(6973,1),(7173,1)}
6435:{1,5,6}:{(5748,1),(5890,1),(5894,1),(6971,1),(6976,1),(8643,1)}
6436:{1,5,6}:{(5750,1),(5887,1),(5893,1),(6972,1),(6977,1),(8644,1)}
6437:{1,5,6}:{(5749,1),(5889,1),(5892,1),(6970,1),(7173,1)}
6438:{1,7}:{(5754,1),(5894,1)}
6439:{1,7}:{(5752,1),(5893,1)}
6440:{1,4,6,7}:{(5751,1),(5891,1),(6123,1),(6127,1),(6973,1),(7003,1),(7052,1),(7908,1),(7917,1)}
6441:{1,4,6,7}:{(5753,1),(5892,1),(6123,1),(6127,1),(6970,1),(7002,1),(7050,1),(7909,1),(7915,1)}
6442:{1,4,5,7}:{(5756,1),(5889,1),(5895,1),(6970,1),(6974,1),(6980,1),(6983,1),(6995,1),(7049,1),(7909,1),(7915,1),(7926,1),(7933,1),(8007,1)}
6443:{1,4,5,7}:{(5757,1),(5888,1),(5898,1),(6973,1),(6975,1),(6978,1),(6984,1),(6994,1),(7046,1),(7908,1),(7917,1),(7927,1),(7931,1),(8008,1)}
6444:{1,4,5,7}:{(5755,1),(5890,1),(5896,1),(6971,1),(6976,1),(6979,1),(6985,1),(6997,1),(7048,1),(7907,1),(7916,1),(7921,1),(7932,1),(7976,1),(8643,1)}
6445:{1,4,5,7}:{(5758,1),(5887,1),(5897,1),(6972,1),(6977,1),(6981,1),(6982,1),(6996,1),(7047,1),(7906,1),(7914,1),(7919,1),(7930,1),(7977,1),(8644,1)}
6446:{1,3,5}:{(5759,1),(5887,1),(5903,1),(6981,1),(7186,1),(8644,1)}
6447:{1,3,5}:{(5761,1),(5889,1),(5906,1),(6980,1)}
6448:{1,3,5}:{(5760,1),(5888,1),(5904,1),(6978,1)}
6449:{1,3,5}:{(5762,1),(5890,1),(5905,1),(6979,1),(7186,1),(8643,1)}
6450:{1,3,4,5}:{(5763,1),(5909,1),(6134,1),(6825,1),(6832,1),(6989,1),(7066,1),(7123,1),(7187,1),(7720,1),(7766,1),(7902,1),(7913,1),(7935,1),(8041,1),(8534,1)}
6451:{1,4,5,6}:{(5764,1),(5907,1),(6149,1),(6822,1),(6831,1),(6988,1),(7001,1),(7068,1),(7191,1)}
6452:{1,3,4,5}:{(5766,1),(5910,1),(6134,1),(6823,1),(6833,1),(6987,1),(7069,1),(7123,1),(7187,1),(7708,1),(7767,1),(7903,1),(7912,1),(7934,1),(8041,1),(8526,1),(8580,1),(9067,1),(9139,1),(9143,1)}
6453:{1,4,5,6}:{(5765,1),(5908,1),(6149,1),(6824,1),(6830,1),(6986,1),(7000,1),(7067,1),(7191,1),(7904,1),(8027,1)}
6454:{1,3,6}:{(5770,1),(5892,1),(5902,1)}
6455:{1,3,6}:{(5767,1),(5891,1),(5901,1),(7954,1)}
6456:{1,3,6}:{(5768,1),(5893,1),(5900,1),(7005,1),(7013,1)}
6457:{1,3,6}:{(5769,1),(5894,1),(5899,1),(7004,1),(7012,1),(8533,1)}
6458:{1,3,4,7}:{(5773,1),(5897,1),(5903,1),(6152,1),(6996,1),(7005,1),(7074,1),(7199,1),(7906,1),(7930,1),(8527,1)}
6459:{1,3,6,7}:{(5771,1),(5898,1),(5904,1),(6155,1),(6994,1),(7189,1),(8529,1),(9080,1)}
6460:{1,3,4,7}:{(5772,1),(5896,1),(5905,1),(6152,1),(6997,1),(7004,1),(7077,1),(7199,1),(7907,1),(7932,1),(8526,1)}
6461:{1,3,6,7}:{(5774,1),(5895,1),(5906,1),(6155,1),(6995,1),(7189,1),(8540,1),(9087,1)}
6462:{1,4,6}:{(5776,1),(5914,1),(5993,1),(6986,1),(7078,1),(8079,1)}
6463:{1,3,4,6}:{(5777,1),(5913,1),(5992,1),(6137,1),(6966,1),(6989,1),(7080,1),(7125,1),(7902,1)}
6464:{1,4,6}:{(5775,1),(5912,1),(5991,1),(6988,1),(7102,1),(7795,1),(8079,1)}
6465:{1,3,4,6}:{(5778,1),(5911,1),(5994,1),(6137,1),(6967,1),(6987,1),(7102,1),(7125,1),(7814,1),(8075,1)}
6466:{1,3,4,7}:{(5781,1),(5910,1),(5998,1),(6138,1),(6828,1),(7104,1),(7127,1),(7809,1),(7819,1),(7909,1),(8040,1),(8068,1),(8076,1),(8515,1),(8597,1),(8750,1)}
6467:{1,3,4,7}:{(5779,1),(5909,1),(5995,1),(6138,1),(6829,1),(7092,1),(7127,1),(7773,1),(7908,1),(8040,1)}
6468:{1,4,7}:{(5780,1),(5908,1),(5997,1),(6827,1),(7093,1)}
6469:{1,4,7}:{(5782,1),(5907,1),(5996,1),(6826,1),(7104,1)}
6470:{1,3,4,7}:{(5783,1),(5901,1),(6139,1),(6160,1),(6819,1),(6978,1),(7010,1),(7908,1),(8537,1)}
6471:{1,3,4,7}:{(5784,1),(5902,1),(6139,1),(6160,1),(6808,1),(6980,1),(7011,1),(7909,1),(8534,1)}
6472:{1,4,5}:{(5785,1),(5900,1),(6159,1),(6810,1),(7013,1),(7186,1)}
6473:{1,4,5}:{(5786,1),(5899,1),(6159,1),(6815,1),(7012,1),(7186,1)}
6474:{1,2,5}:{(5861,1),(5935,1),(6054,1),(6775,1),(6915,1),(8545,1)}
6475:{1,2,5}:{(5860,1),(5936,1),(6054,1),(6777,1),(6914,1),(8643,1)}
6476:{2,5,6}:{(5862,1),(5937,1),(6163,1),(6788,1),(7020,1),(8609,1)}
6477:{2,5,6}:{(5859,1),(5938,1),(6163,1),(6780,1),(7021,1),(8027,1),(8607,1)}
6478:{1,2,5,7}:{(5865,1),(5922,1),(5939,1),(6055,1),(6933,1),(7017,1),(7837,1)}
6479:{1,2,5,7}:{(5863,1),(5919,1),(5942,1),(6055,1),(6930,1),(7016,1),(7836,1)}
6480:{2,5,7}:{(5866,1),(5921,1),(5940,1),(7014,1),(7029,1)}
6481:{2,5,7}:{(5864,1),(5920,1),(5941,1),(7015,1),(7027,1),(8505,1)}
6482:{1,2,4,5,6}:{(5790,1),(5868,1),(5925,1),(5930,1),(6162,1),(6777,1),(6782,1),(6888,1),(6918,1),(7025,1),(7037,1),(7045,1),(7100,1),(7168,1),(7743,1),(7759,1),(7840,1),(7905,1),(7925,1),(7963,1),(7985,1),(8028,1),(8090,1),(8092,1),(8551,1),(8557,1),(8577,1),(8599,1),(8603,1),(8643,1),(9069,1),(9106,1),(9205,1),(9444,1)}
6483:{1,2,5,6}:{(5788,1),(5870,1),(5923,1),(5927,1),(6778,1),(6783,1),(6889,1),(6919,1),(7022,1),(7036,1),(7751,1),(7983,1)}
6484:{1,2,4,5,6}:{(5787,1),(5867,1),(5926,1),(5928,1),(6162,1),(6787,1),(6788,1),(6886,1),(6921,1),(7024,1),(7043,1),(7100,1),(7168,1),(7765,1),(7838,1),(7905,1),(7922,1),(7984,1),(8092,1),(8543,1)}
6485:{1,2,5,6}:{(5789,1),(5869,1),(5924,1),(5929,1),(6776,1),(6785,1),(6887,1),(6920,1),(7023,1),(7754,1),(7982,1),(9506,1)}
6486:{5}:{(5943,1)}
6487:{2,5}:{(5944,1),(6108,1)}
6488:{2,4,5}:{(5946,1),(6108,1),(6163,1),(6925,1),(7101,1),(7132,1),(8028,1),(8607,1)}
6489:{4,5}:{(5945,1),(6163,1),(6922,1)}
6490:{1,2,4,5}:{(5919,1),(5948,1),(6056,1),(6109,1),(6786,1),(6832,1),(6928,1),(7215,1),(7716,1),(7918,1),(7935,1),(8556,1)}
6491:{4,5,6}:{(5920,1),(5949,1),(6166,1),(6784,1),(6830,1),(6926,1),(7027,1),(7201,1),(7717,1),(8027,1)}
6492:{4,5,6}:{(5921,1),(5947,1),(6166,1),(6776,1),(6927,1),(7029,1),(7201,1)}
6493:{1,2,4,5}:{(5922,1),(5950,1),(6056,1),(6109,1),(6785,1),(6833,1),(6929,1),(7215,1),(7706,1),(7918,1),(7934,1),(8686,1),(9043,1),(9067,1),(9139,1)}
6494:{1,2,4,5,7}:{(5794,1),(5874,1),(5926,1),(5933,1),(6169,1),(6936,1),(7033,1),(7034,1),(7041,1),(7049,1),(7103,1),(7205,1),(7933,1),(8007,1),(8049,1),(8069,1),(8093,1),(8689,1),(8713,1),(9047,1),(9074,1),(9140,1),(9443,1)}
6495:{1,2,5,7}:{(5791,1),(5873,1),(5923,1),(5931,1),(6937,1),(7031,1),(7036,1),(8501,1)}
6496:{1,2,5,7}:{(5792,1),(5871,1),(5924,1),(5932,1),(6935,1),(7030,1),(7035,1),(7039,1),(8008,1)}
6497:{1,2,4,5,7}:{(5793,1),(5872,1),(5925,1),(5934,1),(6169,1),(6934,1),(7032,1),(7037,1),(7048,1),(7103,1),(7205,1),(7932,1),(8006,1),(8028,1),(8069,1),(8090,1),(8643,1)}
6498:{1,2,4,7}:{(5798,1),(5878,1),(5930,1),(5957,1),(6790,1),(6804,1),(6938,1),(7053,1)}
6499:{1,2,4,6,7}:{(5797,1),(5875,1),(5929,1),(5955,1),(6175,1),(6805,1),(6941,1),(7023,1),(7052,1),(7775,1),(7806,1),(7917,1),(8706,1),(9102,1),(9465,1)}
6500:{1,2,4,6,7}:{(5795,1),(5877,1),(5928,1),(5956,1),(6175,1),(6791,1),(6939,1),(7024,1),(7050,1),(7783,1),(8598,1),(8640,1),(9105,1)}
6501:{1,2,4,7}:{(5796,1),(5876,1),(5927,1),(5958,1),(6793,1),(6797,1),(6940,1),(7022,1),(7051,1),(7807,1),(7914,1)}
6502:{2,4,6,7}:{(5881,1),(5938,1),(5941,1),(5980,1),(6801,1),(6802,1),(6945,1),(7015,1),(7021,1),(7790,1),(7794,1)}
6503:{2,4,6,7}:{(5882,1),(5937,1),(5940,1),(5982,1),(6790,1),(6791,1),(7014,1),(7020,1)}
6504:{1,2,4,6,7}:{(5880,1),(5936,1),(5939,1),(5979,1),(6066,1),(6804,1),(6942,1),(7017,1),(7019,1),(7743,1),(8664,1),(8709,1),(9106,1)}
6505:{1,2,4,6,7}:{(5879,1),(5935,1),(5942,1),(5981,1),(6066,1),(6803,1),(6943,1),(7016,1),(7018,1),(7748,1),(7792,1),(7796,1),(8600,1),(9096,1),(9445,1)}
6506:{1,2,4,7}:{(5950,1),(5983,1),(6067,1),(6119,1),(6946,1),(7104,1),(7806,1),(7917,1),(8076,1),(8496,1),(8515,1),(8750,1)}
6507:{4,7}:{(5949,1),(5985,1),(6947,1)}
6508:{4,7}:{(5947,1),(5984,1)}
6509:{1,2,4,7}:{(5948,1),(5986,1),(6067,1),(6119,1),(6948,1),(7917,1)}
6510:{4,6,7}:{(5943,1),(5990,1),(6178,1),(7030,1),(7102,1),(7201,1)}
6511:{2,4,7}:{(5944,1),(5988,1),(6120,1),(7031,1)}
6512:{4,6,7}:{(5945,1),(5987,1),(6178,1),(7033,1),(7102,1),(7103,1),(7201,1),(7790,1),(7816,1),(8030,1),(8605,1),(9140,1)}
6513:{2,4,7}:{(5946,1),(5989,1),(6120,1),(7103,1),(7790,1),(8604,1)}
6514:{1,5,6,7}:{(5804,1),(5915,1),(5954,1),(5964,1),(6956,1),(6963,1),(6972,1),(8584,1)}
6515:{1,2,5,6,7}:{(5805,1),(5918,1),(5952,1),(5963,1),(6121,1),(6954,1),(6964,1),(6970,1),(7172,1),(7213,1),(7745,1),(7975,1),(7995,1),(8026,1),(8071,1),(8087,1),(8097,1),(8573,1),(8688,1),(8771,1),(9069,1)}
6516:{1,5,6,7}:{(5803,1),(5917,1),(5953,1),(5966,1),(6957,1),(6973,1),(7172,1),(8071,1)}
6517:{1,2,5,6,7}:{(5806,1),(5916,1),(5951,1),(5965,1),(6121,1),(6955,1),(6962,1),(6971,1),(7213,1),(7749,1),(7980,1)}
6518:{1,2,5}:{(5808,1),(5887,1),(5967,1),(6982,1)}
6519:{1,2,5}:{(5807,1),(5889,1),(5970,1),(6983,1)}
6520:{1,2,5}:{(5810,1),(5890,1),(5968,1),(6985,1)}
6521:{1,2,5}:{(5809,1),(5888,1),(5969,1),(6984,1)}
6522:{1,2,6}:{(5813,1),(5894,1),(5962,1),(7053,1),(7055,1),(8545,1)}
6523:{1,2,6}:{(5811,1),(5891,1),(5959,1)}
6524:{1,2,6}:{(5812,1),(5893,1),(5960,1),(7051,1),(7054,1),(8548,1)}
6525:{1,2,6}:{(5814,1),(5892,1),(5961,1)}
6526:{1,2,7}:{(5818,1),(5897,1),(5967,1),(7222,1),(8548,1)}
6527:{1,2,6,7}:{(5817,1),(5898,1),(5969,1),(6191,1),(7046,1),(7217,1),(8544,1)}
6528:{1,2,6,7}:{(5816,1),(5895,1),(5970,1),(6191,1),(7049,1),(7217,1),(8549,1)}
6529:{1,2,7}:{(5815,1),(5896,1),(5968,1),(7222,1),(8545,1)}
6530:{1,2,4,7}:{(5822,1),(5959,1),(6139,1),(6194,1),(6808,1),(6984,1),(7057,1),(7917,1),(8550,1)}
6531:{1,4}:{(5819,1),(5962,1),(6817,1)}
6532:{1,4}:{(5821,1),(5960,1),(6820,1)}
6533:{1,2,4,7}:{(5820,1),(5961,1),(6139,1),(6194,1),(6819,1),(6983,1),(7056,1),(7915,1),(8556,1)}
6534:{1,3,5,6}:{(5826,1),(5953,1),(5971,1),(5992,1),(6866,1),(6966,1),(6989,1)}
6535:{1,2,3,5,6}:{(5825,1),(5952,1),(5973,1),(5994,1),(6140,1),(6868,1),(6967,1),(6987,1),(6991,1),(7153,1),(7204,1),(7769,1),(7893,1),(7965,1),(7984,1),(8054,1)}
6536:{1,3,5,6}:{(5823,1),(5954,1),(5972,1),(5993,1),(6867,1),(6968,1),(6986,1),(7117,1),(7829,1),(8079,1)}
6537:{1,2,3,5,6}:{(5824,1),(5951,1),(5974,1),(5991,1),(6140,1),(6869,1),(6969,1),(6988,1),(6990,1),(7117,1),(7153,1),(7204,1),(7763,1),(7826,1),(7876,1),(7885,1),(7891,1),(7963,1),(7985,1),(8012,1),(8046,1),(8079,1),(8105,1),(8533,1),(8559,1),(8587,1),(8643,1),(8754,1),(8763,1),(8775,1),(8781,1),(9069,1),(9106,1),(9222,1),(9502,1)}
6538:{1,2,3,6,7}:{(5834,1),(5963,1),(5994,1),(5998,1),(6150,1),(6864,1),(7002,1),(7007,1),(7121,1),(7152,1),(7878,1),(7888,1),(8017,1),(8040,1),(8058,1),(8078,1),(8559,1),(8752,1),(9083,1)}
6539:{1,3,6,7}:{(5831,1),(5966,1),(5992,1),(5995,1),(6863,1),(7121,1),(8078,1)}
6540:{1,2,3,6,7}:{(5832,1),(5965,1),(5991,1),(5996,1),(6150,1),(6865,1),(7004,1),(7009,1),(7152,1),(7779,1),(8014,1)}
6541:{1,3,6,7}:{(5833,1),(5964,1),(5993,1),(5997,1),(6862,1),(7005,1),(7006,1),(8594,1)}
6542:{1,2,3,6}:{(5837,1),(5906,1),(5970,1),(6000,1),(7063,1),(7083,1),(8540,1),(8549,1)}
6543:{1,2,3,6}:{(5835,1),(5904,1),(5969,1),(6002,1),(7064,1),(7084,1),(8529,1),(8544,1)}
6544:{1,2,3,6}:{(5836,1),(5905,1),(5968,1),(5999,1),(7062,1),(7077,1),(7082,1),(7222,1),(7985,1),(8536,1)}
6545:{1,2,3,6}:{(5838,1),(5903,1),(5967,1),(6001,1),(7065,1),(7074,1),(7085,1),(7222,1),(7983,1),(8533,1)}
6546:{1,2,3,5}:{(5840,1),(5900,1),(5960,1),(6001,1),(6809,1),(6813,1),(7071,1),(7768,1),(9461,1)}
6547:{1,2,3,5,7}:{(5841,1),(5902,1),(5961,1),(6000,1),(6211,1),(6807,1),(6818,1),(7063,1),(7072,1),(7242,1),(7758,1),(8679,1),(8713,1)}
6548:{1,2,3,5}:{(5842,1),(5899,1),(5962,1),(5999,1),(6811,1),(6821,1),(7070,1),(7767,1),(8740,1)}
6549:{1,2,3,5,7}:{(5839,1),(5901,1),(5959,1),(6002,1),(6211,1),(6812,1),(6816,1),(7064,1),(7073,1),(7242,1),(7756,1),(8681,1),(8712,1)}
6550:{1,2,3,4,6}:{(5844,1),(5910,1),(6004,1),(6192,1),(6209,1),(6886,1),(7069,1),(7091,1),(7159,1),(7211,1),(7865,1),(7895,1),(7984,1),(8017,1),(8556,1),(8634,1),(8735,1),(9097,1),(9135,1)}
6551:{1,2,6}:{(5846,1),(5908,1),(6006,1),(6889,1),(7088,1),(7093,1)}
6552:{1,2,4,6}:{(5845,1),(5907,1),(6003,1),(6209,1),(6888,1),(7068,1),(7087,1),(7090,1)}
6553:{1,2,3,6}:{(5843,1),(5909,1),(6005,1),(6192,1),(6887,1),(7066,1),(7092,1),(7159,1),(7982,1)}
6554:{1,2,4}:{(5850,1),(5999,1),(6159,1),(6810,1),(7222,1)}
6555:{1,4,7}:{(5847,1),(6002,1),(6215,1),(6814,1),(7084,1)}
6556:{1,2,4}:{(5849,1),(6001,1),(6159,1),(6815,1),(7222,1)}
6557:{1,4,7}:{(5848,1),(6000,1),(6215,1),(6806,1),(7083,1)}
6558:{1,2,5,7}:{(5854,1),(5914,1),(6006,1),(6214,1),(6806,1),(6810,1),(7078,1),(7093,1),(7230,1),(7780,1),(9488,1)}
6559:{1,2,3,4,7}:{(5851,1),(5911,1),(6004,1),(6193,1),(6210,1),(6821,1),(7041,1),(7081,1),(7124,1),(7160,1),(7170,1),(7210,1),(7771,1),(7873,1),(7932,1),(7990,1),(8022,1),(8040,1),(8044,1),(8059,1),(8068,1),(8556,1),(8709,1),(8765,1),(9135,1)}
6560:{1,2,4,5,7}:{(5852,1),(5912,1),(6003,1),(6210,1),(6214,1),(6807,1),(6811,1),(7079,1),(7090,1),(7170,1),(7210,1),(7230,1),(7240,1),(7776,1),(7903,1),(7932,1),(7992,1),(7995,1),(8006,1),(8068,1),(8069,1),(8086,1),(8512,1),(8554,1),(8643,1),(8708,1),(8713,1),(9138,1),(9231,1)}
6561:{1,2,3,7}:{(5853,1),(5913,1),(6005,1),(6193,1),(6817,1),(7039,1),(7080,1),(7124,1),(7160,1),(7773,1),(8040,1)}
6562:{1,2,3,4}:{(5857,1),(6160,1),(6194,1),(6211,1),(7183,1),(7243,1)}
6563:{1,5}:{(5856,1),(6215,1),(7088,1)}
6564:{1,4,5}:{(5858,1),(6211,1),(6215,1),(7087,1),(7183,1),(7232,1)}
6565:{1,2,3}:{(5855,1),(6160,1),(6194,1)}
6566:{5,6}:{(6007,1),(6008,1)}
6567:{4,5,7}:{(6007,1),(6009,1),(6018,1),(6878,1),(7094,1),(7107,1),(8026,1)}
6568:{4,5}:{(6015,1),(6021,1),(7130,1)}
6569:{4,5,7}:{(6012,1),(6016,1),(6068,1),(7096,1)}
6570:{4,7}:{(6013,1),(6036,1),(7131,1)}
6571:{4,5}:{(6017,1),(6037,1),(7132,1)}
6572:{4,6}:{(6014,1),(6069,1),(7098,1),(7099,1)}
6573:{4,6,7}:{(6015,1),(6016,1),(6084,1),(6828,1),(6829,1),(7095,1),(7096,1),(7098,1),(7787,1),(7788,1),(7792,1),(7796,1),(8029,1),(8479,1),(8750,1)}
6574:{4}:{(6085,1)}
6575:{4,7}:{(6017,1),(6090,1)}
6576:{4,7}:{(6019,1),(6091,1),(7102,1)}
6577:{4,6}:{(6019,1),(6092,1),(6833,1),(7104,1)}
6578:{4,5}:{(6019,1),(6093,1),(6830,1)}
6579:{3,5,7}:{(6007,1),(6021,1),(6034,1),(7095,1),(7106,1),(7172,1),(8026,1),(8580,1)}
6580:{3,5}:{(6009,1),(6035,1),(7173,1)}
6581:{3,4,6}:{(6008,1),(6020,1),(6025,1),(6863,1),(6864,1),(7096,1),(7106,1),(7140,1),(7177,1),(7248,1),(7787,1),(7788,1),(7795,1),(7796,1),(7842,1),(8029,1),(8752,1)}
6582:{3,4,5,6,7}:{(6010,1),(6022,1),(6024,1),(6028,1),(6834,1),(7095,1),(7098,1),(7106,1),(7110,1),(7120,1),(7141,1),(7174,1),(7788,1),(7805,1),(7842,1),(8026,1),(8029,1),(8031,1),(8037,1),(8040,1),(8493,1),(8577,1),(8583,1),(8592,1),(8750,1),(8752,1),(8755,1)}
6583:{3,4,6,7}:{(6011,1),(6023,1),(6026,1),(6027,1),(7121,1),(7142,1),(7175,1),(7246,1),(7248,1),(7879,1),(8483,1),(9080,1),(9465,1)}
6584:{3,4,5}:{(6012,1),(6032,1),(6219,1),(6220,1),(7176,1),(8580,1)}
6585:{3,4,5,6}:{(6013,1),(6029,1),(6038,1),(6822,1),(6823,1),(6838,1),(6841,1),(7100,1),(7110,1),(7122,1),(7143,1),(7178,1),(7708,1),(7788,1),(7826,1),(7827,1),(8028,1),(8042,1),(8493,1),(8577,1),(8603,1)}
6586:{3,4,6}:{(6015,1),(6033,1),(6088,1),(6844,1),(7108,1),(7179,1),(7714,1),(7716,1),(7816,1),(7954,1),(8537,1),(9128,1)}
6587:{3,4,7}:{(6016,1),(6032,1),(6087,1),(7180,1)}
6588:{3,4,6}:{(6017,1),(6030,1),(6089,1),(6848,1),(6849,1),(7111,1),(7113,1),(7181,1),(7712,1),(7815,1),(7959,1),(8533,1),(8603,1),(8605,1)}
6589:{3,4,6,7}:{(6018,1),(6035,1),(6086,1),(6223,1),(6224,1),(7107,1),(7182,1),(7246,1),(7248,1)}
6590:{3,4}:{(6019,1),(6094,1),(6847,1),(7183,1)}
6591:{3,5,7}:{(6037,1),(6050,1),(6105,1),(7097,1),(7117,1),(7184,1)}
6592:{3,5,7}:{(6038,1),(6048,1),(6107,1),(8026,1),(8040,1)}
6593:{3,5}:{(6051,1),(6108,1),(7186,1)}
6594:{3,5}:{(6052,1),(6109,1)}
6595:{3,6}:{(6042,1),(6106,1),(7191,1)}
6596:{3,6,7}:{(6039,1),(6041,1),(6110,1),(6864,1)}
6597:{3,5,6}:{(6039,1),(6040,1),(6111,1),(6869,1),(7122,1),(8754,1)}
6598:{3,6}:{(6045,1),(6112,1)}
6599:{3,5,7}:{(6044,1),(6047,1),(6113,1),(7121,1),(7127,1),(8040,1)}
6600:{3,4,5,7}:{(6029,1),(6040,1),(6046,1),(6114,1),(6873,1),(7097,1),(7103,1),(7122,1),(7156,1),(7827,1),(8028,1)}
6601:{3,4,7}:{(6030,1),(6043,1),(6115,1),(7126,1),(7157,1),(7959,1),(8594,1)}
6602:{3,6}:{(6043,1),(6116,1),(7124,1)}
6603:{3,4,6}:{(6044,1),(6049,1),(6117,1),(7123,1),(7127,1),(7159,1),(7954,1),(8537,1)}
6604:{3,4,7}:{(6045,1),(6049,1),(6118,1),(7124,1),(7125,1),(7160,1),(8040,1),(8537,1)}
6605:{3,4,7}:{(6047,1),(6052,1),(6119,1),(6948,1),(7118,1),(8040,1)}
6606:{3,4,7}:{(6051,1),(6095,1),(6120,1),(7119,1),(7199,1)}
6607:{2,6}:{(6008,1),(6055,1)}
6608:{2,5,7}:{(6007,1),(6054,1),(6066,1),(6880,1),(7128,1)}
6609:{2,4,5,7}:{(6055,1),(6056,1),(6067,1),(6217,1),(6218,1),(6878,1),(7129,1),(7139,1),(7804,1),(7836,1),(7837,1),(8496,1),(9043,1)}
6610:{2,5,6,7}:{(6010,1),(6053,1),(6057,1),(6058,1),(6883,1),(7128,1),(7131,1),(7834,1)}
6611:{2,4,6,7}:{(6011,1),(6057,1),(6059,1),(6060,1),(6885,1),(7129,1),(7142,1),(9465,1)}
6612:{2,6}:{(6013,1),(6061,1),(7131,1)}
6613:{2,4,7}:{(6014,1),(6070,1),(7098,1),(7103,1),(7133,1),(7136,1)}
6614:{2,4,5}:{(6012,1),(6064,1),(6071,1),(6832,1),(6833,1),(7099,1),(7130,1),(7841,1),(9043,1),(9139,1)}
6615:{2,4,6}:{(6015,1),(6065,1),(6075,1),(6887,1),(7102,1),(7130,1),(7841,1)}
6616:{2,4,6}:{(6017,1),(6062,1),(6076,1),(6889,1),(7132,1),(7136,1),(7137,1),(8046,1)}
6617:{2,4,7}:{(6016,1),(6064,1),(6077,1),(7098,1),(7104,1),(8750,1)}
6618:{2,3,5,6}:{(6020,1),(6068,1),(6225,1),(6226,1),(7096,1),(7106,1),(7140,1),(7248,1),(8045,1),(9045,1)}
6619:{2,3,5,7}:{(6022,1),(6053,1),(6069,1),(6078,1),(7098,1),(7213,1),(8040,1)}
6620:{2,3,5}:{(6021,1),(6054,1),(6081,1),(6897,1),(7099,1),(7130,1),(7214,1),(8041,1)}
6621:{2,3,5}:{(6056,1),(6082,1),(6220,1),(6221,1),(7215,1),(8580,1),(9043,1)}
6622:{2,3,5,6}:{(6024,1),(6058,1),(6070,1),(6075,1),(6901,1),(7130,1),(7133,1),(7216,1),(7860,1),(8054,1),(8057,1)}
6623:{2,3,5,7}:{(6025,1),(6055,1),(6071,1),(6083,1),(7134,1),(7140,1),(7221,1),(7836,1),(7837,1),(8500,1),(9045,1)}
6624:{2,3,6}:{(6026,1),(6059,1),(6074,1),(7217,1),(8618,1)}
6625:{2,3,5,7}:{(6027,1),(6060,1),(6072,1),(6079,1),(7142,1),(7146,1),(7218,1),(7847,1),(7848,1),(8506,1)}
6626:{2,3,6,7}:{(6028,1),(6057,1),(6075,1),(6077,1),(7131,1),(7135,1),(7140,1),(7219,1),(7848,1),(8500,1),(8612,1)}
6627:{2,3,5}:{(6029,1),(6061,1),(6076,1),(6903,1),(7132,1),(7136,1),(7220,1),(8059,1)}
6628:{2,3}:{(6030,1),(6062,1),(7222,1)}
6629:{2,3,4,6,7}:{(6031,1),(6063,1),(6073,1),(6834,1),(6836,1),(6899,1),(6901,1),(6907,1),(6909,1),(7113,1),(7147,1),(7158,1),(7223,1),(7814,1),(7815,1),(7846,1),(7849,1),(8024,1),(8623,1),(8684,1)}
6630:{2,3,4,6}:{(6032,1),(6064,1),(6072,1),(6080,1),(6843,1),(6844,1),(7115,1),(7144,1),(7146,1),(7159,1),(7224,1),(7864,1),(7954,1),(8734,1),(9128,1)}
6631:{2,3,4,7}:{(6033,1),(6065,1),(6074,1),(6080,1),(6902,1),(6903,1),(6906,1),(7114,1),(7145,1),(7160,1),(7225,1),(7847,1),(7848,1),(7870,1),(8025,1)}
6632:{2,3,4,6,7}:{(6034,1),(6066,1),(6078,1),(6081,1),(6083,1),(6913,1),(6943,1),(7098,1),(7135,1),(7138,1),(7140,1),(7226,1),(7792,1),(7796,1),(7842,1),(8029,1),(8040,1),(8058,1),(8489,1),(8500,1),(8597,1),(8600,1),(8634,1),(8750,1),(8752,1)}
6633:{2,3,4,7}:{(6067,1),(6079,1),(6082,1),(6223,1),(6224,1),(6948,1),(7139,1),(7227,1),(7819,1),(7847,1),(7848,1),(8496,1),(9107,1)}
6634:{2,3,5,6}:{(6038,1),(6085,1),(6096,1),(6162,1),(6914,1),(7100,1),(7148,1),(8054,1)}
6635:{2,3,5}:{(6037,1),(6101,1),(6163,1),(6922,1),(7101,1),(7132,1),(7230,1),(8043,1),(8607,1),(9170,1)}
6636:{2,3,5,6,7}:{(6023,1),(6086,1),(6087,1),(6088,1),(6165,1),(6854,1),(6856,1),(6890,1),(6891,1),(7107,1),(7112,1),(7121,1),(7142,1),(7247,1),(7248,1),(7724,1),(7725,1),(7824,1),(7825,1),(7844,1),(7845,1),(7847,1),(7848,1),(7878,1),(8037,1),(8040,1),(8051,1),(8058,1),(8580,1),(8610,1),(8612,1),(8673,1),(8728,1),(8752,1),(9080,1),(9107,1),(9111,1),(9173,1),(9456,1),(9457,1)}
6637:{3,5}:{(6102,1),(6166,1),(7232,1)}
6638:{2,3,6}:{(6039,1),(6091,1),(6167,1),(7102,1)}
6639:{2,3,5,7}:{(6040,1),(6085,1),(6097,1),(6169,1),(7103,1),(7153,1),(8054,1),(8056,1)}
6640:{2,3,5,7}:{(6041,1),(6092,1),(6100,1),(6168,1),(7104,1),(7152,1),(8026,1)}
6641:{2,3,5,7}:{(6042,1),(6093,1),(6103,1),(6164,1),(7105,1),(7150,1),(7151,1),(7240,1)}
6642:{2,3,5,7}:{(6043,1),(6089,1),(6095,1),(6170,1),(6855,1),(6857,1),(7113,1),(7119,1),(7157,1),(7158,1),(7846,1),(7849,1),(8024,1),(8038,1),(8056,1),(8594,1),(8680,1),(8740,1),(9117,1),(9494,1)}
6643:{2,3,5,6}:{(6044,1),(6094,1),(6098,1),(6171,1),(6927,1),(6929,1),(7115,1),(7154,1),(7155,1),(7159,1),(7881,1),(7954,1),(8032,1),(8054,1),(8535,1),(8579,1),(8730,1),(8734,1)}
6644:{2,3,5,7}:{(6045,1),(6094,1),(6099,1),(6172,1),(7114,1),(7150,1),(7154,1),(7160,1),(8025,1),(8032,1),(8054,1),(8681,1),(8730,1)}
6645:{2,3,7}:{(6046,1),(6076,1),(6173,1),(7131,1),(7137,1)}
6646:{2,3,6,7}:{(6048,1),(6096,1),(6100,1),(6174,1),(6938,1),(7131,1),(7148,1),(7848,1),(7849,1),(8040,1),(8765,1)}
6647:{2,3,7}:{(6047,1),(6098,1),(6175,1),(6949,1)}
6648:{2,3}:{(6049,1),(6176,1),(7124,1)}
6649:{2,3,4,6,7}:{(6050,1),(6097,1),(6101,1),(6103,1),(6177,1),(6945,1),(6950,1),(6952,1),(7102,1),(7103,1),(7137,1),(7149,1),(7151,1),(7244,1),(7790,1),(7794,1),(7814,1),(7872,1),(7882,1),(8030,1),(8044,1),(8046,1),(8050,1),(8061,1),(8492,1),(8502,1),(8594,1),(8601,1),(8620,1),(8637,1),(8754,1),(9140,1),(9406,1)}
6650:{3,4,7}:{(6099,1),(6102,1),(6178,1),(6947,1),(7150,1),(7245,1)}
6651:{5,6}:{(6105,1),(6106,1),(7163,1)}
6652:{1,4,5,7}:{(6109,1),(6119,1),(6161,1),(6217,1),(6218,1),(7118,1),(7162,1),(7249,1)}
6653:{4,5,7}:{(6105,1),(6108,1),(6120,1),(7031,1),(7119,1),(7163,1)}
6654:{1,4,5,6,7}:{(6010,1),(6107,1),(6110,1),(6111,1),(6121,1),(6954,1),(6955,1),(6962,1),(7120,1),(7165,1),(7202,1),(7743,1),(7750,1),(7786,1),(7788,1),(7899,1),(7938,1),(8026,1),(8031,1),(8573,1),(8577,1),(8640,1),(9069,1),(9444,1)}
6655:{1,4,6,7}:{(6011,1),(6112,1),(6113,1),(6179,1),(7121,1),(7162,1),(7917,1),(8652,1)}
6656:{1,4,6}:{(6013,1),(6114,1),(6140,1),(7122,1),(7204,1),(7788,1)}
6657:{1,4,5}:{(6012,1),(6117,1),(6195,1),(6823,1),(6825,1),(6832,1),(6833,1),(7123,1),(7706,1),(7716,1),(7902,1),(7935,1),(9139,1)}
6658:{1,4}:{(6014,1),(6180,1),(7124,1)}
6659:{1,4,6}:{(6015,1),(6118,1),(6196,1),(7102,1),(7125,1),(7164,1),(7816,1),(7902,1)}
6660:{1,4,6}:{(6017,1),(6115,1),(6197,1),(7126,1),(7166,1),(7170,1),(7815,1),(8605,1)}
6661:{1,4,7}:{(6016,1),(6117,1),(6198,1),(6828,1),(6829,1),(7104,1),(7127,1),(7806,1),(8750,1)}
6662:{1,5}:{(6021,1),(6137,1)}
6663:{1,5,7}:{(6022,1),(6122,1),(6135,1)}
6664:{1,5,6,7}:{(6023,1),(6123,1),(6124,1),(6125,1),(6970,1),(6973,1),(7175,1),(8071,1),(8771,1)}
6665:{1,4,5,6}:{(6024,1),(6122,1),(6126,1),(6131,1),(6976,1),(7164,1),(7168,1),(7188,1),(7216,1),(7921,1),(8070,1),(8588,1),(8643,1)}
6666:{1,4,6}:{(6026,1),(6125,1),(6130,1),(7189,1),(7217,1),(8106,1)}
6667:{1,4,5,7}:{(6027,1),(6124,1),(6127,1),(6128,1),(6970,1),(6973,1),(7175,1),(7180,1),(7190,1),(7218,1),(7249,1),(7908,1),(7909,1),(7915,1),(7917,1),(8004,1),(8076,1),(8771,1)}
6668:{1,4,6,7}:{(6028,1),(6131,1),(6133,1),(6142,1),(7177,1),(7219,1),(7788,1),(7909,1),(8483,1),(8517,1),(8647,1)}
6669:{1,4,5}:{(6029,1),(6132,1),(6143,1),(6980,1),(7170,1),(7220,1)}
6670:{1,4,5,7}:{(6025,1),(6134,1),(6138,1),(6141,1),(7172,1),(7177,1),(7221,1),(7249,1),(7976,1),(8517,1),(9072,1),(9445,1)}
6671:{1,4}:{(6030,1),(6144,1),(7222,1)}
6672:{1,4,6}:{(6031,1),(6129,1),(6181,1),(6982,1),(6985,1),(7195,1),(8079,1)}
6673:{1,4,6}:{(6032,1),(6136,1),(6200,1),(7176,1),(7180,1),(7935,1),(9128,1)}
6674:{1,4,7}:{(6033,1),(6136,1),(6201,1),(6978,1),(6980,1),(6983,1),(6984,1),(7179,1)}
6675:{1,4,6,7}:{(6034,1),(6137,1),(6138,1),(6202,1),(7172,1),(7177,1),(7796,1),(8660,1)}
6676:{1,4,6}:{(6035,1),(6139,1),(6199,1),(7173,1)}
6677:{1,3,6}:{(6020,1),(6104,1),(6141,1),(6863,1),(6864,1),(7177,1),(8752,1)}
6678:{1,3,5,6,7}:{(6036,1),(6121,1),(6140,1),(6150,1),(7120,1),(7165,1),(7185,1),(8559,1),(8573,1),(9069,1),(9083,1)}
6679:{1,5}:{(6037,1),(6157,1)}
6680:{1,3,5,6}:{(6038,1),(6122,1),(6143,1),(6153,1),(6987,1),(6988,1),(7178,1),(7185,1),(7765,1),(7767,1),(7826,1),(8559,1),(8643,1),(9069,1),(9502,1)}
6681:{1,3,5,7}:{(6040,1),(6126,1),(6143,1),(6154,1),(7124,1),(7184,1),(7188,1),(8007,1),(8040,1),(8578,1),(8643,1)}
6682:{1,3,5,7}:{(6043,1),(6129,1),(6144,1),(6152,1),(7194,1),(7195,1),(8082,1),(9494,1)}
6683:{1,3,5,6}:{(6044,1),(6128,1),(6146,1),(6151,1),(7187,1),(7189,1),(7190,1),(7196,1),(7954,1),(7957,1),(8078,1),(8080,1),(8535,1)}
6684:{1,3,5,7}:{(6045,1),(6130,1),(6146,1),(6155,1),(7189,1),(7197,1),(8080,1),(8681,1)}
6685:{1,3,4,6}:{(6039,1),(6131,1),(6147,1),(7102,1),(7122,1),(7125,1),(7188,1),(7189,1),(7191,1),(7237,1),(8035,1),(8070,1),(8075,1),(8106,1),(8526,1),(8654,1),(8754,1)}
6686:{1,3,4,6,7}:{(6046,1),(6132,1),(6145,1),(7122,1),(7126,1),(7165,1),(7171,1),(7193,1),(7194,1),(7238,1),(7832,1),(7907,1),(7952,1),(8491,1),(8524,1),(8540,1),(8594,1),(8654,1),(8754,1),(9083,1),(9085,1),(9136,1),(9164,1),(9240,1),(9467,1)}
6687:{1,3,4,5,7}:{(6041,1),(6133,1),(6148,1),(6156,1),(7001,1),(7104,1),(7110,1),(7127,1),(7185,1),(7190,1),(7192,1),(7239,1),(7821,1),(7909,1),(8004,1),(8026,1),(8037,1),(8040,1),(8068,1),(8076,1),(8521,1),(8595,1),(8675,1),(8750,1),(8769,1),(8771,1)}
6688:{1,4,5,7}:{(6042,1),(6149,1),(6158,1),(7097,1),(7105,1),(7184,1),(7191,1),(7240,1)}
6689:{1,3,7}:{(6047,1),(6127,1),(6151,1)}
6690:{1,3,4,6,7}:{(6048,1),(6135,1),(6150,1),(6153,1),(6156,1),(7002,1),(7004,1),(7009,1),(7165,1),(7185,1),(7241,1),(7771,1),(7783,1),(7832,1),(7907,1),(7909,1),(7946,1),(8040,1),(8068,1),(8559,1),(8664,1),(8675,1),(9083,1),(9467,1)}
6691:{1,3,4}:{(6049,1),(6136,1),(6146,1),(6978,1),(6980,1),(7183,1),(7243,1),(7958,1)}
6692:{1,4,6,7}:{(6050,1),(6157,1),(6158,1),(6204,1),(7102,1),(7184,1),(7191,1),(7199,1),(7794,1),(8079,1)}
6693:{1,4,6}:{(6051,1),(6159,1),(6205,1),(7186,1),(7199,1),(8079,1)}
6694:{1,3,4,6}:{(6052,1),(6151,1),(6160,1),(6228,1),(6229,1),(7089,1),(7187,1),(7198,1),(7935,1),(7954,1),(7957,1),(8078,1),(8534,1),(8537,1),(8660,1),(9086,1)}
6695:{1,2,5,6}:{(6104,1),(6161,1),(6225,1),(6227,1),(6954,1),(6957,1),(7016,1),(7017,1),(7162,1),(8071,1),(8098,1)}
6696:{2,6}:{(6106,1),(6164,1),(7201,1)}
6697:{1,2,5,7}:{(6053,1),(6107,1),(6162,1),(6174,1),(7020,1),(7131,1),(7148,1),(7834,1),(7837,1),(8026,1),(8757,1)}
6698:{2,5,7}:{(6105,1),(6163,1),(6177,1),(7033,1),(7200,1),(8607,1),(8609,1)}
6699:{4,5,7}:{(6164,1),(6166,1),(6178,1),(7030,1),(7150,1),(7201,1)}
6700:{1,2,6,7}:{(6057,1),(6110,1),(6167,1),(6168,1),(7014,1),(7017,1),(7152,1)}
6701:{1,2,5,6}:{(6058,1),(6111,1),(6167,1),(6169,1),(7037,1),(7153,1),(7200,1),(7204,1),(8046,1),(8643,1)}
6702:{1,2,4,6}:{(6059,1),(6112,1),(6167,1),(6172,1),(7035,1),(7102,1),(7154,1),(7201,1),(7217,1),(7816,1),(8075,1),(8106,1),(8618,1),(8655,1)}
6703:{1,2,4,5,7}:{(6060,1),(6113,1),(6168,1),(6171,1),(6175,1),(7023,1),(7029,1),(7104,1),(7155,1),(7203,1),(7208,1),(7218,1),(7806,1),(7917,1),(8004,1),(8026,1),(8076,1),(8087,1),(8506,1),(8518,1),(8585,1),(8706,1),(8750,1),(8771,1)}
6704:{1,2,5,7}:{(6061,1),(6114,1),(6173,1),(7041,1),(7131,1),(7156,1),(7204,1),(7220,1),(7837,1),(7965,1)}
6705:{1,2,4,7}:{(6062,1),(6115,1),(6173,1),(7040,1),(7137,1),(7157,1),(7207,1),(7222,1),(7871,1),(7991,1)}
6706:{1,2,4,6,7}:{(6063,1),(6116,1),(6170,1),(6182,1),(6962,1),(6963,1),(7036,1),(7037,1),(7158,1),(7163,1),(7171,1),(7205,1),(7207,1),(7738,1),(7749,1),(7815,1),(7966,1),(8046,1),(8079,1),(8486,1),(8514,1),(8551,1),(8562,1),(8569,1),(8619,1),(8623,1),(8656,1),(8781,1),(9444,1)}
6707:{1,2,4,6}:{(6064,1),(6117,1),(6176,1),(6184,1),(6886,1),(6887,1),(7159,1),(7168,1),(7208,1),(7209,1),(7864,1),(7982,1),(7984,1),(8556,1)}
6708:{1,2,4,7}:{(6065,1),(6118,1),(6176,1),(6185,1),(7039,1),(7160,1),(7206,1),(7870,1),(8556,1)}
6709:{1,2,4}:{(6019,1),(6203,1),(7136,1),(7161,1),(7170,1),(7183,1)}
6710:{1,2,5,6}:{(6069,1),(6122,1),(6180,1),(6186,1),(7168,1),(7213,1),(7214,1)}
6711:{1,2,5,7}:{(6070,1),(6126,1),(6180,1),(6190,1),(7205,1),(7216,1),(7220,1),(9047,1)}
6712:{1,2,5,6}:{(6072,1),(6128,1),(6183,1),(6187,1),(7215,1),(7217,1),(7218,1),(7224,1),(7982,1),(7984,1),(8098,1),(8099,1)}
6713:{1,2,5,7}:{(6073,1),(6129,1),(6181,1),(6189,1),(6971,1),(6972,1),(7222,1),(7223,1),(8101,1),(8643,1),(8644,1)}
6714:{1,2,5,7}:{(6074,1),(6130,1),(6183,1),(6191,1),(7217,1),(7225,1),(8099,1)}
6715:{1,2,6}:{(6075,1),(6131,1),(6185,1),(8545,1),(8618,1)}
6716:{1,2,6}:{(6076,1),(6132,1),(6173,1),(7220,1),(7222,1)}
6717:{1,2,5,7}:{(6077,1),(6133,1),(6184,1),(6188,1),(7131,1),(7208,1),(7219,1),(7837,1),(8506,1)}
6718:{1,2,5}:{(6071,1),(6134,1),(6192,1),(8545,1)}
6719:{1,2,6,7}:{(6078,1),(6135,1),(6186,1),(6188,1),(7053,1),(7213,1)}
6720:{1,2,7}:{(6079,1),(6127,1),(6187,1)}
6721:{1,2,4}:{(6080,1),(6136,1),(6183,1),(6983,1),(6984,1),(7183,1),(7243,1)}
6722:{1,2,4,6}:{(6081,1),(6137,1),(6186,1),(6193,1),(7055,1),(7080,1),(7168,1),(7214,1),(7902,1),(8545,1)}
6723:{1,2,4,6}:{(6082,1),(6187,1),(6194,1),(6228,1),(6229,1),(7089,1),(7215,1),(7227,1),(7935,1),(7982,1),(7984,1),(8098,1),(8550,1),(8556,1),(8660,1)}
6724:{1,2,4,7}:{(6083,1),(6138,1),(6188,1),(6192,1),(7092,1),(7221,1),(9445,1)}
6725:{1,2,3,5,7}:{(6068,1),(6141,1),(6161,1),(6195,1),(6212,1),(6852,1),(6853,1),(6930,1),(6933,1),(7118,1),(7167,1),(7172,1),(7221,1),(7228,1),(7249,1),(7725,1),(7728,1),(7836,1),(7837,1),(7944,1),(7945,1),(7975,1),(8026,1),(8037,1),(8060,1),(8087,1),(8580,1),(8673,1),(8686,1),(8699,1),(8701,1),(8771,1),(9043,1),(9045,1),(9072,1),(9143,1),(9456,1),(9462,1)}
6726:{1,2,3,5,6,7}:{(6084,1),(6142,1),(6179,1),(6196,1),(6198,1),(6202,1),(7060,1),(7121,1),(7152,1),(7169,1),(7172,1),(7213,1),(7219,1),(7228,1),(7887,1),(7967,1),(7997,1),(8026,1),(8037,1),(8040,1),(8058,1),(8087,1),(8097,1),(8108,1),(8752,1),(8771,1)}
6727:{1,2,3,5}:{(6085,1),(6143,1),(6180,1),(6206,1),(7124,1),(7170,1),(7220,1),(7230,1),(8043,1),(8056,1),(8059,1)}
6728:{1,2,3,6,7}:{(6086,1),(6123,1),(6199,1),(6232,1),(6233,1),(7002,1),(7003,1),(7050,1),(7052,1),(7182,1),(8078,1),(8098,1)}
6729:{1,2,3,5,7}:{(6087,1),(6124,1),(6200,1),(6231,1),(6233,1),(7180,1),(7190,1),(7218,1),(7249,1),(8112,1),(9111,1)}
6730:{1,2,3,5,6}:{(6088,1),(6125,1),(6199,1),(6201,1),(6991,1),(6993,1),(7042,1),(7043,1),(7173,1),(7179,1),(7189,1),(7217,1),(7760,1),(7769,1),(7954,1),(7957,1),(7982,1),(7984,1),(8080,1),(8099,1),(8110,1)}
6731:{1,2,3,5,6}:{(6089,1),(6144,1),(6181,1),(6205,1),(6990,1),(6992,1),(7062,1),(7065,1),(7181,1),(7186,1),(7195,1),(7222,1),(7234,1),(7762,1),(7763,1),(7983,1),(7985,1),(8011,1),(8012,1),(8079,1),(8082,1),(8101,1),(8111,1),(8533,1),(8536,1),(8643,1),(8644,1),(8775,1),(8781,1)}
6732:{1,2,3,5,6,7}:{(6090,1),(6145,1),(6182,1),(6197,1),(6204,1),(7058,1),(7117,1),(7153,1),(7158,1),(7171,1),(7184,1),(7233,1),(7234,1),(7238,1),(7877,1),(7966,1),(7994,1),(8012,1),(8038,1),(8046,1),(8056,1),(8079,1),(8088,1),(8105,1),(8562,1),(8594,1),(8627,1),(8629,1),(8643,1),(8722,1),(8754,1),(8763,1),(8775,1),(8781,1),(9066,1),(9085,1)}
6733:{1,2,3,5}:{(6094,1),(6146,1),(6183,1),(6207,1),(7183,1),(7232,1),(7243,1)}
6734:{1,2,3,5,7}:{(6091,1),(6147,1),(6185,1),(6203,1),(6208,1),(7156,1),(7160,1),(7210,1),(7237,1),(7240,1),(8018,1),(8054,1),(8064,1),(8086,1),(8713,1),(8723,1)}
6735:{1,2,3,5,6}:{(6092,1),(6148,1),(6184,1),(6203,1),(6209,1),(7068,1),(7069,1),(7143,1),(7159,1),(7211,1),(7237,1),(7239,1),(7896,1),(7984,1),(8017,1),(8054,1),(8086,1),(8543,1),(8688,1),(8723,1),(8735,1),(8762,1)}
6736:{1,2,5}:{(6093,1),(6149,1),(6213,1),(7132,1),(7232,1)}
6737:{1,2,3,7}:{(6095,1),(6152,1),(6189,1),(6205,1),(7004,1),(7005,1),(7199,1),(7779,1),(7780,1)}
6738:{1,2,3,6}:{(6096,1),(6153,1),(6186,1),(6210,1),(7079,1),(7204,1),(7891,1),(7984,1),(7985,1),(8559,1),(8754,1),(9106,1)}
6739:{1,2,3,6,7}:{(6097,1),(6154,1),(6190,1),(6206,1),(6208,1),(7077,1),(7233,1),(7237,1),(7244,1),(8012,1),(8018,1),(8594,1),(8637,1),(8754,1),(9085,1)}
6740:{1,2,3,6}:{(6098,1),(6151,1),(6187,1),(6211,1),(7087,1),(7242,1)}
6741:{1,2,3,7}:{(6099,1),(6155,1),(6191,1),(6207,1),(7245,1)}
6742:{1,2,3,7}:{(6100,1),(6156,1),(6188,1),(6209,1),(7090,1),(7131,1),(7849,1)}
6743:{1,2,4,6}:{(6101,1),(6157,1),(6206,1),(6214,1),(7078,1),(7083,1),(7170,1),(7230,1),(7904,1),(7992,1),(8549,1),(9136,1)}
6744:{1,4,6}:{(6102,1),(6207,1),(6215,1),(7088,1),(7183,1),(7232,1),(7245,1),(8106,1)}
6745:{1,2,4,7}:{(6103,1),(6158,1),(6208,1),(6213,1),(7093,1),(7137,1),(7240,1),(7245,1)}
6746:{4,6}:{(6218,1),(6225,1),(7248,1)}
6747:{1,2,4,5,6}:{(6216,1),(6226,1),(7096,1),(7247,1),(8045,1),(8065,1),(8072,1),(8091,1),(8615,1),(8652,1),(8780,1),(9190,1)}
6748:{4,6}:{(6217,1),(6227,1)}
6749:{3,5,7}:{(6218,1),(6220,1),(6224,1),(7248,1),(7249,1)}
6750:{3,4,5,7}:{(6217,1),(6221,1),(6223,1),(7107,1),(7118,1),(7139,1),(7246,1),(7250,1),(7804,1),(7819,1),(8580,1),(8673,1)}
6751:{2,3,5,7}:{(6216,1),(6219,1),(6222,1),(7109,1),(7247,1),(8037,1),(8580,1),(8673,1),(9456,1)}
6752:{1,5}:{(6220,1),(6228,1)}
6753:{1,2,3,5}:{(6219,1),(6230,1),(7176,1),(8080,1),(8099,1),(9225,1)}
6754:{1,4,5}:{(6221,1),(6229,1),(7173,1),(7187,1),(7215,1),(7935,1)}
6755:{1,4,7}:{(6223,1),(6229,1),(6232,1)}
6756:{1,4,7}:{(6224,1),(6228,1),(6233,1),(7249,1)}
6757:{1,2,3,4,6,7}:{(6222,1),(6230,1),(6231,1),(7180,1),(7251,1),(8072,1),(8084,1),(8103,1),(8112,1),(8660,1),(8747,1),(8786,1),(9227,1)}
6758:{2,3,6}:{(6238,1),(6259,1),(6333,1),(7279,1),(7310,1)}
6759:{2,3,4,6}:{(6249,1),(6254,1),(6331,1),(6384,1),(7256,1),(7344,1),(7399,1),(7597,1),(7632,1),(8145,1),(8264,1),(8419,1)}
6760:{3,4,6}:{(6241,1),(6262,1),(6382,1),(7254,1),(7301,1),(7627,1)}
6761:{3,6}:{(6248,1),(6265,1),(7257,1),(7271,1),(9523,1)}
6762:{3,4,6}:{(6235,1),(6256,1),(6384,1),(7263,1),(7309,1),(7344,1),(7627,1),(8218,1),(8956,1),(9400,1)}
6763:{2,3,6}:{(6239,1),(6261,1),(6331,1),(7258,1),(7606,1),(8877,1)}
6764:{3,4,6}:{(6246,1),(6260,1),(6383,1),(7267,1),(7277,1),(7606,1),(8162,1),(8234,1)}
6765:{3,6}:{(6247,1),(6250,1),(7303,1),(9518,1)}
6766:{2,3,4,6}:{(6244,1),(6251,1),(6330,1),(6382,1),(7262,1),(7346,1),(7398,1),(7597,1),(7606,1),(7632,1),(8138,1),(8234,1),(8406,1),(8419,1),(8427,1),(8441,1),(8877,1),(8923,1),(8961,1)}
6767:{3,4,6}:{(6240,1),(6253,1),(6385,1),(7252,1),(7268,1),(7347,1),(8164,1)}
6768:{2,3,4,6}:{(6237,1),(6258,1),(6332,1),(6383,1),(7255,1),(7273,1),(7307,1),(7345,1),(7397,1),(8139,1),(8883,1),(8921,1)}
6769:{2,3,6}:{(6245,1),(6255,1),(6332,1),(7275,1),(7308,1)}
6770:{2,3,4,6}:{(6236,1),(6263,1),(6333,1),(6385,1),(7266,1),(7274,1),(7304,1),(7347,1),(7396,1),(8332,1)}
6771:{3,6}:{(6242,1),(6252,1),(7313,1)}
6772:{2,3,6}:{(6243,1),(6257,1),(6330,1),(7260,1),(8877,1)}
6773:{3,6}:{(6234,1),(6264,1),(7261,1),(7282,1)}
6774:{2,4,5,6}:{(6259,1),(6421,1),(6477,1),(6488,1),(7264,1),(7284,1),(7320,1),(7381,1),(7506,1),(8418,1)}
6775:{1,4,5}:{(6265,1),(6338,1),(6474,1),(7257,1),(7322,1),(7524,1),(8169,1)}
6776:{5,6}:{(6256,1),(6486,1),(7294,1),(7584,1)}
6777:{1,4,5}:{(6260,1),(6338,1),(6475,1),(7267,1),(7323,1),(7524,1)}
6778:{2,5,6}:{(6263,1),(6421,1),(6487,1),(7290,1),(7507,1)}
6779:{2,5,6}:{(6255,1),(6419,1),(6487,1),(7295,1),(7507,1)}
6780:{4,5,6}:{(6252,1),(6477,1),(6489,1),(7259,1),(7297,1),(7320,1),(8899,1),(9251,1)}
6781:{1,5}:{(6264,1),(6339,1),(7261,1),(8790,1)}
6782:{2,4,5,6}:{(6258,1),(6419,1),(6476,1),(6488,1),(7255,1),(7293,1),(7321,1),(7382,1),(7506,1),(8139,1),(8897,1),(8908,1)}
6783:{1,5}:{(6253,1),(6339,1),(7252,1)}
6784:{5,6}:{(6250,1),(6486,1),(7289,1)}
6785:{1,2,5}:{(6254,1),(6340,1),(6418,1),(7256,1),(7383,1),(7584,1),(8450,1)}
6786:{1,2,5}:{(6257,1),(6340,1),(6420,1),(7260,1),(7380,1)}
6787:{1,2,4,5}:{(6251,1),(6341,1),(6420,1),(6475,1),(7262,1),(7323,1),(7380,1),(7525,1),(7584,1),(7643,1),(7668,1),(8138,1),(8177,1),(8208,1),(8361,1),(8419,1),(8428,1),(8446,1),(8450,1),(8898,1),(8976,1)}
6788:{4,5,6}:{(6262,1),(6476,1),(6489,1),(7254,1),(7285,1),(7584,1),(8200,1),(8208,1)}
6789:{1,2,4,5}:{(6261,1),(6341,1),(6418,1),(6474,1),(7258,1),(7322,1),(7383,1),(7525,1),(7643,1),(7668,1),(8148,1),(8172,1),(8348,1),(8363,1),(8419,1)}
6790:{2,4,7}:{(6258,1),(6266,1),(6432,1),(7588,1)}
6791:{4,6,7}:{(6262,1),(6278,1),(6508,1),(7285,1),(7588,1)}
6792:{1,2,4,6,7}:{(6261,1),(6280,1),(6351,1),(6430,1),(6509,1),(7280,1),(7292,1),(7387,1),(7501,1),(7642,1),(8237,1),(8256,1),(8359,1),(8447,1),(8820,1),(8853,1),(8966,1),(8971,1)}
6793:{2,4,7}:{(6263,1),(6277,1),(6433,1),(7290,1),(7386,1)}
6794:{1,4,7}:{(6264,1),(6276,1),(6353,1),(7282,1),(7298,1),(8117,1)}
6795:{1,2,4,6,7}:{(6251,1),(6270,1),(6351,1),(6431,1),(6506,1),(7276,1),(7299,1),(7385,1),(7503,1),(7588,1),(7591,1),(7642,1),(8204,1),(8225,1),(8239,1),(8281,1),(8296,1),(8351,1),(8360,1),(8431,1),(8447,1),(8449,1),(8454,1),(8463,1),(8818,1),(8822,1),(8835,1),(8853,1),(8894,1),(8965,1),(8970,1),(9021,1),(9034,1),(9258,1),(9310,1),(9378,1)}
6796:{1,2,4,6,7}:{(6257,1),(6273,1),(6352,1),(6431,1),(6509,1),(7283,1),(7287,1),(7385,1),(7501,1),(8128,1),(8239,1),(8360,1),(8818,1),(8853,1),(8970,1)}
6797:{1,4,7}:{(6253,1),(6271,1),(6353,1),(7268,1),(7288,1)}
6798:{4,6,7}:{(6250,1),(6269,1),(6507,1),(7270,1),(7289,1),(8126,1)}
6799:{2,4,7}:{(6255,1),(6281,1),(6432,1),(7275,1),(7295,1),(8129,1),(9515,1)}
6800:{1,2,4,6,7}:{(6254,1),(6268,1),(6352,1),(6430,1),(6506,1),(7272,1),(7291,1),(7387,1),(7503,1),(7591,1),(8237,1),(8241,1),(8351,1),(8359,1),(8454,1),(8818,1),(8856,1),(8971,1)}
6801:{2,4,7}:{(6259,1),(6275,1),(6433,1),(7279,1),(7386,1)}
6802:{4,6,7}:{(6252,1),(6272,1),(6507,1),(7278,1),(7297,1),(9251,1)}
6803:{1,4,7}:{(6265,1),(6267,1),(6350,1),(7271,1)}
6804:{1,4,7}:{(6260,1),(6279,1),(6350,1),(7277,1),(7588,1)}
6805:{4,6,7}:{(6256,1),(6274,1),(6508,1),(7294,1)}
6806:{1,5,7}:{(6242,1),(6557,1),(6563,1),(7313,1),(7554,1),(7577,1)}
6807:{1,4,5,7}:{(6241,1),(6547,1),(6557,1),(6564,1),(7301,1),(7462,1),(7554,1),(7579,1),(7655,1),(7691,1),(8177,1),(8182,1),(8296,1),(8450,1)}
6808:{1,2,3,7}:{(6243,1),(6471,1),(6530,1),(6565,1),(7314,1),(7489,1),(7532,1),(8323,1),(8360,1),(8881,1)}
6809:{1,3,4}:{(6240,1),(6532,1),(6546,1),(7461,1),(7490,1),(9514,1)}
6810:{1,2,5}:{(6238,1),(6472,1),(6554,1),(7310,1)}
6811:{1,2,4,5}:{(6237,1),(6473,1),(6548,1),(6554,1),(7307,1),(7463,1),(7533,1),(7552,1),(8165,1)}
6812:{1,2,3,4,7}:{(6249,1),(6470,1),(6530,1),(6549,1),(6562,1),(7305,1),(7460,1),(7489,1),(7535,1),(7655,1),(7701,1),(8294,1),(8323,1),(8339,1),(8359,1),(8382,1),(8410,1),(9003,1)}
6813:{1,2,4,5}:{(6236,1),(6472,1),(6546,1),(6556,1),(7304,1),(7461,1),(7534,1),(7555,1),(8174,1),(9521,1)}
6814:{1,5,7}:{(6247,1),(6555,1),(6563,1),(7303,1),(7553,1),(7577,1)}
6815:{1,2,5}:{(6245,1),(6473,1),(6556,1),(7308,1)}
6816:{1,4,5,7}:{(6235,1),(6549,1),(6555,1),(6564,1),(7309,1),(7460,1),(7553,1),(7579,1),(7655,1),(7691,1),(8168,1),(8192,1),(8294,1),(8450,1)}
6817:{1,3}:{(6248,1),(6531,1),(9523,1)}
6818:{1,2,3,4,7}:{(6244,1),(6471,1),(6533,1),(6547,1),(6562,1),(7312,1),(7462,1),(7488,1),(7532,1),(7655,1),(7701,1),(8296,1),(8324,1),(8338,1),(8360,1),(8381,1),(8409,1),(9002,1)}
6819:{1,2,3,7}:{(6239,1),(6470,1),(6533,1),(6565,1),(7306,1),(7488,1),(7535,1),(8324,1),(8359,1),(8877,1)}
6820:{1,3}:{(6234,1),(6532,1),(7490,1)}
6821:{1,3,4}:{(6246,1),(6531,1),(6548,1),(7463,1),(7491,1),(9018,1)}
6822:{4,5,6}:{(6287,1),(6308,1),(6571,1),(7318,1),(7382,1),(7586,1)}
6823:{4,5}:{(6288,1),(6309,1),(7380,1)}
6824:{4,5,6}:{(6286,1),(6306,1),(6571,1),(7316,1),(7320,1),(7381,1),(7586,1)}
6825:{4,5}:{(6289,1),(6307,1),(7322,1),(7383,1)}
6826:{4,7}:{(6287,1),(6370,1)}
6827:{4,7}:{(6286,1),(6372,1),(7386,1)}
6828:{4,7}:{(6288,1),(6373,1)}
6829:{4,7}:{(6289,1),(6371,1),(7387,1)}
6830:{4,6}:{(6381,1),(6578,1),(7324,1)}
6831:{4,5,6}:{(6378,1),(6577,1),(6578,1),(7326,1),(7584,1),(7590,1),(8200,1)}
6832:{4}:{(6380,1)}
6833:{4,5}:{(6379,1),(6577,1),(7584,1)}
6834:{3,4,6,7}:{(6283,1),(6292,1),(6297,1),(7329,1),(7339,1),(7368,1),(7394,1),(7451,1)}
6835:{3,4,5,6,7}:{(6284,1),(6291,1),(6295,1),(6583,1),(7331,1),(7337,1),(7371,1),(7392,1),(7448,1),(7593,1),(7595,1),(8123,1),(8156,1),(8209,1),(8216,1),(8228,1),(8420,1),(8794,1),(8798,1),(9266,1),(9526,1)}
6836:{3,4,6,7}:{(6285,1),(6293,1),(6294,1),(7330,1),(7336,1),(7369,1),(7393,1),(7450,1),(8226,1),(8321,1)}
6837:{3,4,5,6,7}:{(6282,1),(6290,1),(6296,1),(6583,1),(7328,1),(7338,1),(7370,1),(7395,1),(7449,1),(7593,1),(7595,1),(8122,1),(8155,1),(8210,1),(8214,1),(8225,1),(8323,1),(8420,1),(8795,1),(8838,1),(8945,1),(8960,1),(9261,1),(9322,1),(9556,1),(9557,1)}
6838:{3,4,6}:{(6287,1),(6298,1),(6311,1),(7329,1),(7397,1),(7454,1)}
6839:{3,4,6}:{(6289,1),(6301,1),(6310,1),(7328,1),(7335,1),(7344,1),(7399,1),(7452,1)}
6840:{3,4,6}:{(6286,1),(6300,1),(6312,1),(7330,1),(7347,1),(7396,1),(7455,1)}
6841:{3,4,6}:{(6288,1),(6299,1),(6313,1),(7331,1),(7333,1),(7398,1),(7453,1)}
6842:{3,4,6}:{(6305,1),(6354,1),(6572,1),(7339,1),(7341,1),(7456,1),(7606,1)}
6843:{3,4,6}:{(6304,1),(6356,1),(6572,1),(7337,1),(7342,1),(7458,1),(7606,1)}
6844:{4,6}:{(6302,1),(6357,1),(7338,1),(7340,1)}
6845:{4,6}:{(6303,1),(6355,1),(7336,1),(7343,1),(8962,1)}
6846:{3,4}:{(6376,1),(6574,1),(7462,1)}
6847:{4}:{(6375,1)}
6848:{4}:{(6377,1)}
6849:{3,4}:{(6374,1),(6574,1),(7463,1),(8432,1)}
6850:{3,5,7}:{(6308,1),(6329,1),(6407,1),(7318,1),(7464,1),(8791,1)}
6851:{3,5,7}:{(6306,1),(6327,1),(6406,1),(7316,1),(7466,1),(8199,1)}
6852:{3,5,7}:{(6307,1),(6326,1),(6408,1),(7317,1),(7361,1),(8197,1),(8793,1)}
6853:{3,5,7}:{(6309,1),(6328,1),(6409,1),(7319,1),(7360,1)}
6854:{3,5,7}:{(6310,1),(6325,1),(6414,1),(7328,1),(8323,1)}
6855:{3,5,7}:{(6311,1),(6322,1),(6417,1),(7329,1),(7368,1),(8846,1)}
6856:{3,5,7}:{(6313,1),(6323,1),(6415,1),(7331,1)}
6857:{3,5,7}:{(6312,1),(6324,1),(6416,1),(7330,1),(7369,1),(8321,1)}
6858:{3,5,6}:{(6332,1),(6419,1),(6593,1),(7367,1),(7474,1),(7601,1)}
6859:{3,5}:{(6331,1),(6418,1)}
6860:{3,5}:{(6330,1),(6420,1)}
6861:{3,5,6}:{(6333,1),(6421,1),(6593,1),(7364,1),(7475,1),(7601,1)}
6862:{3,6,7}:{(6314,1),(6411,1),(6595,1),(7482,1)}
6863:{3,6}:{(6315,1),(6413,1)}
6864:{3,6}:{(6317,1),(6410,1)}
6865:{3,6,7}:{(6316,1),(6412,1),(6595,1),(7481,1)}
6866:{3,5,6}:{(6321,1),(6425,1),(6598,1),(7372,1),(7602,1)}
6867:{3,6}:{(6318,1),(6424,1)}
6868:{3,5,6}:{(6319,1),(6423,1),(6598,1),(7373,1),(7602,1),(7606,1),(8325,1)}
6869:{3,6}:{(6320,1),(6422,1)}
6870:{3,4,5,7}:{(6300,1),(6318,1),(6427,1),(6601,1),(7330,1),(7353,1),(7375,1),(7433,1),(7604,1),(8118,1),(8207,1),(8231,1),(8432,1),(8896,1),(8899,1),(9356,1)}
6871:{3,4,5,7}:{(6298,1),(6320,1),(6426,1),(6601,1),(7329,1),(7355,1),(7374,1),(7432,1),(7604,1),(7608,1),(8206,1),(8229,1),(8235,1),(8333,1),(8425,1),(8426,1),(8432,1),(8846,1),(8893,1),(8900,1),(9018,1),(9309,1),(9328,1)}
6872:{3,4,7}:{(6301,1),(6321,1),(6429,1),(7354,1),(7372,1),(7434,1)}
6873:{3,4,7}:{(6299,1),(6319,1),(6428,1),(7373,1),(7435,1),(7608,1)}
6874:{3,4,6,7}:{(6325,1),(6331,1),(6430,1),(6605,1),(7280,1),(7328,1),(7365,1),(7600,1),(8132,1),(8210,1),(8221,1),(8323,1),(8839,1),(8887,1),(8945,1)}
6875:{3,4,6,7}:{(6323,1),(6330,1),(6431,1),(6605,1),(7283,1),(7331,1),(7366,1),(7600,1),(8128,1),(8209,1),(8221,1),(8323,1),(8839,1),(8945,1)}
6876:{3,4,7}:{(6324,1),(6333,1),(6433,1),(7279,1),(7364,1),(7493,1)}
6877:{3,4,7}:{(6322,1),(6332,1),(6432,1),(7275,1),(7367,1),(7492,1),(8129,1),(8846,1)}
6878:{2,5,7}:{(6340,1),(6352,1),(6567,1),(7376,1),(8197,1)}
6879:{2,4,5,7}:{(6341,1),(6351,1),(6567,1),(6608,1),(7378,1),(7390,1),(7587,1),(7610,1),(8197,1),(8797,1),(8889,1),(9259,1)}
6880:{4,5,7}:{(6338,1),(6350,1),(6608,1),(7379,1),(7389,1)}
6881:{5,7}:{(6339,1),(6353,1),(7377,1)}
6882:{2,4,5,6,7}:{(6284,1),(6336,1),(6343,1),(6610,1),(6611,1),(7378,1),(7385,1),(7392,1),(7610,1),(7613,1),(8239,1),(8244,1),(8250,1),(8818,1),(8890,1),(9249,1),(9526,1)}
6883:{2,4,6,7}:{(6283,1),(6334,1),(6345,1),(6610,1),(7379,1),(7384,1),(7394,1)}
6884:{2,6,7}:{(6285,1),(6337,1),(6342,1),(7377,1),(7386,1)}
6885:{2,5,6,7}:{(6282,1),(6335,1),(6344,1),(6611,1),(7376,1),(7387,1),(7610,1),(8237,1),(9557,1)}
6886:{2,4,6}:{(6288,1),(6349,1),(6612,1),(7380,1),(7385,1),(7398,1),(8138,1),(8239,1)}
6887:{2,6}:{(6289,1),(6346,1),(7383,1),(7387,1)}
6888:{2,4,6}:{(6287,1),(6347,1),(6612,1),(7382,1),(7384,1),(7397,1)}
6889:{2,6}:{(6286,1),(6348,1),(7386,1)}
6890:{2,3,5,7}:{(6291,1),(6336,1),(6356,1),(6365,1),(7337,1),(7521,1)}
6891:{2,3,5,7}:{(6290,1),(6335,1),(6357,1),(6364,1),(7338,1),(7522,1),(8323,1)}
6892:{2,3,5,7}:{(6293,1),(6337,1),(6355,1),(6363,1),(7336,1),(7388,1),(7393,1),(7523,1),(8249,1),(8321,1)}
6893:{2,3,5,7}:{(6292,1),(6334,1),(6354,1),(6362,1),(7339,1),(7389,1),(7394,1),(7520,1)}
6894:{2,3,5}:{(6341,1),(6366,1),(6580,1),(7342,1),(7525,1)}
6895:{2,3,5}:{(6340,1),(6367,1),(6580,1),(7340,1),(7527,1),(8325,1)}
6896:{3,5}:{(6339,1),(6369,1),(7343,1),(7526,1),(8790,1)}
6897:{3,5}:{(6338,1),(6368,1),(7524,1)}
6898:{2,3,5,6}:{(6295,1),(6343,1),(6359,1),(6624,1),(7398,1),(7400,1),(7529,1),(7620,1),(8906,1)}
6899:{2,3,6}:{(6294,1),(6342,1),(6360,1),(7401,1),(7531,1),(8810,1)}
6900:{2,3,5,6}:{(6296,1),(6344,1),(6361,1),(6624,1),(7399,1),(7403,1),(7528,1),(7620,1),(8135,1),(8406,1)}
6901:{2,3,6}:{(6297,1),(6345,1),(6358,1),(7530,1)}
6902:{2,3}:{(6301,1),(6346,1),(7406,1),(7535,1)}
6903:{2,3}:{(6299,1),(6349,1),(7532,1)}
6904:{2,3,5}:{(6298,1),(6347,1),(6628,1),(7397,1),(7404,1),(7533,1)}
6905:{2,3,5}:{(6300,1),(6348,1),(6628,1),(7396,1),(7405,1),(7534,1),(8147,1),(8412,1)}
6906:{2,4,7}:{(6302,1),(6361,1),(7338,1),(7354,1),(7403,1),(7406,1),(9020,1),(9322,1)}
6907:{2,3,4,7}:{(6305,1),(6358,1),(6613,1),(7339,1),(7355,1),(7402,1),(7404,1),(7536,1),(7631,1)}
6908:{2,3,4,7}:{(6304,1),(6359,1),(6613,1),(7337,1),(7352,1),(7400,1),(7407,1),(7538,1),(7631,1),(9255,1)}
6909:{2,4,7}:{(6303,1),(6360,1),(7336,1),(7353,1),(7401,1),(7405,1),(8962,1)}
6910:{2,3,4,6,7}:{(6351,1),(6365,1),(6366,1),(6589,1),(6633,1),(7280,1),(7337,1),(7390,1),(7540,1),(7619,1),(8132,1),(8216,1),(8221,1),(8814,1)}
6911:{3,4,7}:{(6353,1),(6363,1),(6369,1),(7282,1),(7336,1),(7388,1),(7541,1),(8117,1),(8321,1)}
6912:{2,3,4,6,7}:{(6352,1),(6364,1),(6367,1),(6589,1),(6633,1),(7283,1),(7338,1),(7391,1),(7543,1),(7619,1),(8128,1),(8214,1),(8221,1),(8323,1),(8818,1),(8839,1),(8945,1),(9307,1),(9570,1)}
6913:{3,4,7}:{(6350,1),(6362,1),(6368,1),(7271,1),(7389,1),(7542,1)}
6914:{2,3,5}:{(6309,1),(6391,1),(6475,1),(7267,1),(7323,1),(7380,1),(7584,1),(8206,1),(8428,1)}
6915:{2,3,5}:{(6307,1),(6390,1),(6474,1),(7257,1),(7322,1),(7383,1),(8134,1)}
6916:{2,3,5,6}:{(6306,1),(6392,1),(6477,1),(6635,1),(7259,1),(7320,1),(7381,1),(7411,1),(7546,1),(8144,1),(8233,1)}
6917:{2,3,5,6}:{(6308,1),(6393,1),(6476,1),(6635,1),(7254,1),(7321,1),(7382,1),(7409,1),(7547,1),(7584,1),(8200,1),(8206,1),(8236,1),(8428,1),(8435,1),(8800,1),(8890,1),(8908,1),(9357,1)}
6918:{2,3,5,6}:{(6311,1),(6374,1),(6383,1),(6482,1),(7267,1),(7345,1),(7397,1),(7414,1),(7431,1),(7606,1),(8141,1),(8162,1),(8206,1),(8236,1),(8439,1),(8441,1),(8800,1),(8811,1),(8883,1),(9328,1),(9548,1)}
6919:{2,3,5,6}:{(6312,1),(6377,1),(6385,1),(6483,1),(7252,1),(7347,1),(7396,1),(7415,1),(7428,1),(8147,1),(8164,1),(8207,1),(8789,1),(8810,1)}
6920:{2,3,5,6}:{(6310,1),(6375,1),(6384,1),(6485,1),(7256,1),(7263,1),(7344,1),(7399,1),(7413,1),(8135,1)}
6921:{2,3,5,6}:{(6313,1),(6376,1),(6382,1),(6484,1),(7254,1),(7262,1),(7346,1),(7398,1),(7412,1),(7606,1),(8236,1),(8441,1)}
6922:{3,5}:{(6395,1),(6489,1),(7554,1)}
6923:{3,5}:{(6396,1),(6486,1),(7348,1),(7553,1),(9339,1)}
6924:{2,3,5}:{(6397,1),(6487,1),(6593,1),(7351,1),(7555,1),(8207,1),(8333,1),(8950,1),(9325,1)}
6925:{2,3,5}:{(6394,1),(6488,1),(6593,1),(7350,1),(7552,1),(8206,1)}
6926:{3,5,6}:{(6398,1),(6491,1),(6637,1),(7358,1),(7416,1),(7558,1),(7627,1)}
6927:{3,5,6}:{(6401,1),(6492,1),(6637,1),(7418,1),(7559,1),(7627,1)}
6928:{2,3,5}:{(6400,1),(6490,1),(6594,1),(7359,1),(8325,1),(8877,1)}
6929:{2,3,5}:{(6399,1),(6493,1),(6594,1),(7357,1),(8325,1),(9276,1)}
6930:{2,3,5,7}:{(6315,1),(6380,1),(6402,1),(6479,1),(7327,1),(7427,1),(8197,1)}
6931:{2,3,5,7}:{(6314,1),(6381,1),(6405,1),(6481,1),(7324,1),(7416,1),(7425,1),(7567,1),(8199,1),(8274,1)}
6932:{2,3,5,7}:{(6316,1),(6378,1),(6403,1),(6480,1),(7326,1),(7418,1),(7426,1),(7565,1)}
6933:{2,3,5,7}:{(6317,1),(6379,1),(6404,1),(6478,1),(7325,1),(7424,1)}
6934:{2,3,5,7}:{(6320,1),(6374,1),(6388,1),(6497,1),(7355,1),(7431,1),(7631,1),(8206,1),(8426,1),(8439,1)}
6935:{2,3,5,7}:{(6321,1),(6375,1),(6387,1),(6496,1),(7354,1),(7422,1),(7430,1),(7434,1),(8258,1)}
6936:{2,3,5,7}:{(6319,1),(6376,1),(6389,1),(6494,1),(7352,1),(7421,1),(7429,1),(7435,1),(7631,1),(8426,1),(8442,1),(9262,1),(9541,1)}
6937:{2,3,5,7}:{(6318,1),(6377,1),(6386,1),(6495,1),(7353,1),(7428,1),(8207,1)}
6938:{2,3,7}:{(6322,1),(6383,1),(6498,1),(7277,1)}
6939:{2,3,6,7}:{(6323,1),(6382,1),(6500,1),(6647,1),(7269,1),(7412,1),(8888,1)}
6940:{2,3,7}:{(6324,1),(6385,1),(6501,1),(7268,1),(8321,1)}
6941:{2,3,6,7}:{(6325,1),(6384,1),(6499,1),(6647,1),(7281,1),(7413,1),(8323,1),(8815,1),(9003,1)}
6942:{2,3,4,6,7}:{(6328,1),(6391,1),(6404,1),(6504,1),(6646,1),(7277,1),(7385,1),(7408,1),(7424,1),(7588,1),(7591,1),(8162,1),(8204,1),(8227,1),(8239,1),(8254,1),(8431,1),(8811,1)}
6943:{2,3,6,7}:{(6326,1),(6390,1),(6402,1),(6505,1),(7271,1),(7387,1),(7410,1),(7427,1),(8160,1),(8237,1),(8807,1),(9523,1)}
6944:{2,3,4,6,7}:{(6329,1),(6393,1),(6403,1),(6503,1),(6646,1),(7269,1),(7273,1),(7384,1),(7409,1),(7426,1),(7573,1),(7588,1),(7591,1),(8163,1),(8201,1),(8227,1),(8240,1),(8253,1),(8270,1),(8425,1),(8431,1),(8809,1),(8812,1),(8888,1),(8893,1),(9352,1)}
6945:{2,3,6,7}:{(6327,1),(6392,1),(6405,1),(6502,1),(7278,1),(7279,1),(7386,1),(7411,1),(7574,1),(8238,1)}
6946:{2,3,4,7}:{(6399,1),(6506,1),(6605,1),(6647,1),(7419,1),(7598,1),(7634,1),(8323,1),(8839,1),(9003,1)}
6947:{3,7}:{(6398,1),(6507,1),(7577,1)}
6948:{2,3,7}:{(6400,1),(6509,1),(6605,1),(8323,1)}
6949:{3,4,7}:{(6401,1),(6508,1),(6647,1),(7418,1),(7579,1)}
6950:{3,4,6,7}:{(6389,1),(6395,1),(6512,1),(6650,1),(7278,1),(7352,1),(7421,1),(7583,1),(7597,1),(7627,1),(8119,1),(8217,1),(8924,1)}
6951:{2,3,4,7}:{(6386,1),(6397,1),(6511,1),(6606,1),(7275,1),(7353,1),(7423,1),(7582,1),(8129,1),(8340,1),(8846,1),(9515,1)}
6952:{2,3,4,7}:{(6388,1),(6394,1),(6513,1),(6606,1),(7279,1),(7355,1),(7420,1),(7581,1),(8125,1),(8921,1)}
6953:{3,4,6,7}:{(6387,1),(6396,1),(6510,1),(6650,1),(7270,1),(7354,1),(7422,1),(7580,1),(7597,1),(7627,1),(8126,1),(8218,1),(8339,1),(8840,1),(8956,1)}
6954:{1,5,6}:{(6409,1),(6410,1),(6566,1),(7360,1),(8200,1)}
6955:{5,6,7}:{(6407,1),(6412,1),(6651,1),(7437,1),(8791,1)}
6956:{5,6,7}:{(6406,1),(6411,1),(6651,1),(7438,1)}
6957:{1,5,6}:{(6408,1),(6413,1),(6566,1),(7361,1),(8197,1)}
6958:{1,4,5,7}:{(6409,1),(6420,1),(6431,1),(6567,1),(7287,1),(7319,1),(7366,1),(7439,1),(7648,1),(8128,1),(8197,1),(8797,1),(8932,1)}
6959:{4,5,7}:{(6407,1),(6419,1),(6432,1),(7295,1),(7367,1),(7437,1),(8129,1),(8791,1)}
6960:{1,4,5,7}:{(6408,1),(6418,1),(6430,1),(6567,1),(7291,1),(7317,1),(7365,1),(7436,1),(7648,1),(8120,1),(8197,1),(8797,1),(8925,1),(8932,1)}
6961:{4,5,7}:{(6406,1),(6421,1),(6433,1),(7290,1),(7364,1),(7438,1)}
6962:{1,4,6,7}:{(6283,1),(6417,1),(6422,1),(6517,1),(7368,1),(7437,1),(7642,1),(8312,1)}
6963:{1,4,6,7}:{(6285,1),(6416,1),(6424,1),(6514,1),(7369,1),(7438,1),(7511,1),(8226,1),(8309,1)}
6964:{1,4,5,6,7}:{(6284,1),(6415,1),(6423,1),(6515,1),(6655,1),(7371,1),(7439,1),(7444,1),(7639,1),(7642,1),(8283,1),(8291,1),(8447,1),(8926,1)}
6965:{1,4,5,6,7}:{(6282,1),(6414,1),(6425,1),(6516,1),(6655,1),(7370,1),(7436,1),(7445,1),(7509,1),(7639,1),(8225,1)}
6966:{1,4,6}:{(6289,1),(6429,1),(6534,1),(7372,1),(7442,1),(7513,1)}
6967:{1,4,6}:{(6288,1),(6428,1),(6535,1),(7373,1),(7440,1),(7592,1),(8176,1),(8419,1)}
6968:{1,4,6}:{(6286,1),(6427,1),(6536,1),(7375,1),(7514,1),(7586,1),(9544,1)}
6969:{1,4,6}:{(6287,1),(6426,1),(6537,1),(7374,1),(7586,1),(7592,1),(8204,1),(8220,1),(9028,1)}
6970:{1,5,7}:{(6291,1),(6437,1),(6441,1)}
6971:{1,5,7}:{(6292,1),(6435,1),(6438,1),(7451,1)}
6972:{1,5,7}:{(6293,1),(6436,1),(6439,1),(7450,1)}
6973:{1,5,7}:{(6290,1),(6434,1),(6440,1)}
6974:{1,4,5,6}:{(6295,1),(6437,1),(6442,1),(6666,1),(7453,1),(7458,1),(7477,1),(7529,1),(7649,1),(8303,1),(8395,1),(8450,1)}
6975:{1,4,5,6}:{(6296,1),(6434,1),(6443,1),(6666,1),(7452,1),(7459,1),(7479,1),(7528,1),(7649,1),(8302,1),(8393,1),(8450,1)}
6976:{1,4,6}:{(6297,1),(6435,1),(6444,1),(7476,1),(7530,1),(8353,1)}
6977:{1,4,6}:{(6294,1),(6436,1),(6445,1),(7478,1),(7531,1),(8356,1)}
6978:{1,4}:{(6301,1),(6448,1),(7535,1)}
6979:{1,4,5}:{(6298,1),(6449,1),(6671,1),(7454,1),(7463,1),(7533,1)}
6980:{1,4}:{(6299,1),(6447,1),(7532,1)}
6981:{1,4,5}:{(6300,1),(6446,1),(6671,1),(7455,1),(7461,1),(7534,1)}
6982:{1,4}:{(6303,1),(6518,1),(7490,1)}
6983:{1,4}:{(6304,1),(6519,1),(7488,1)}
6984:{1,4}:{(6302,1),(6521,1),(7489,1)}
6985:{1,4}:{(6305,1),(6520,1),(7491,1)}
6986:{1,5,6}:{(6306,1),(6462,1),(6679,1),(7466,1)}
6987:{1,3,5}:{(6309,1),(6465,1),(6662,1),(7440,1),(7584,1),(7602,1),(8206,1),(8450,1)}
6988:{1,5,6}:{(6308,1),(6464,1),(6679,1),(7464,1),(7584,1),(8200,1)}
6989:{1,3,5}:{(6307,1),(6463,1),(6662,1),(7442,1),(7602,1)}
6990:{1,3,5,6}:{(6311,1),(6435,1),(6449,1),(6457,1),(7454,1),(7470,1),(7474,1),(7476,1)}
6991:{1,3,5,6}:{(6313,1),(6437,1),(6447,1),(6454,1),(7453,1),(7469,1),(7473,1)}
6992:{1,3,5,6}:{(6312,1),(6436,1),(6446,1),(6456,1),(7455,1),(7471,1),(7475,1),(7478,1)}
6993:{1,3,5,6}:{(6310,1),(6434,1),(6448,1),(6455,1),(7452,1),(7468,1),(7472,1)}
6994:{1,3,5,7}:{(6321,1),(6443,1),(6448,1),(6459,1),(7479,1),(7487,1),(7489,1),(8323,1),(8336,1),(8838,1)}
6995:{1,3,5,7}:{(6319,1),(6442,1),(6447,1),(6461,1),(7477,1),(7484,1),(7488,1),(8324,1),(8334,1),(9262,1)}
6996:{1,3,5,7}:{(6318,1),(6445,1),(6446,1),(6458,1),(7478,1),(7490,1),(7660,1),(8321,1),(8328,1)}
6997:{1,3,5,7}:{(6320,1),(6444,1),(6449,1),(6460,1),(7476,1),(7491,1),(7660,1),(8322,1),(8326,1)}
6998:{1,3,4,5,7}:{(6317,1),(6452,1),(6466,1),(6670,1),(7319,1),(7325,1),(7465,1),(7483,1),(7566,1),(7605,1),(7659,1),(8130,1),(8189,1),(8282,1),(8285,1),(8305,1),(8424,1),(8848,1),(9267,1),(9558,1)}
6999:{1,3,4,5,7}:{(6315,1),(6450,1),(6467,1),(6670,1),(7317,1),(7327,1),(7467,1),(7480,1),(7564,1),(7605,1),(7659,1),(8121,1),(8196,1),(8197,1),(8281,1),(8286,1),(8307,1),(8424,1),(8793,1),(8843,1),(8925,1),(8932,1),(9245,1),(9264,1),(9523,1),(9571,1)}
7000:{1,4,5,7}:{(6314,1),(6453,1),(6468,1),(7316,1),(7324,1),(7466,1),(7482,1),(7567,1),(8199,1),(8284,1)}
7001:{1,4,5,7}:{(6316,1),(6451,1),(6469,1),(7318,1),(7326,1),(7464,1),(7481,1),(7565,1)}
7002:{1,3,6,7}:{(6323,1),(6441,1),(6454,1),(6689,1),(7469,1),(8324,1)}
7003:{1,3,6,7}:{(6325,1),(6440,1),(6455,1),(6689,1),(7468,1),(8323,1)}
7004:{1,3,7}:{(6322,1),(6438,1),(6457,1),(7492,1),(8846,1)}
7005:{1,3,7}:{(6324,1),(6439,1),(6456,1),(7493,1)}
7006:{1,4,6,7}:{(6327,1),(6462,1),(6468,1),(6541,1),(7466,1),(7493,1),(7574,1),(8284,1),(8309,1)}
7007:{1,3,4,6,7}:{(6328,1),(6465,1),(6466,1),(6538,1),(6675,1),(7444,1),(7465,1),(7483,1),(7591,1),(7607,1),(8221,1),(8227,1),(8454,1)}
7008:{1,3,4,6,7}:{(6326,1),(6463,1),(6467,1),(6539,1),(6675,1),(7445,1),(7467,1),(7480,1),(7575,1),(7607,1),(8281,1)}
7009:{1,4,6,7}:{(6329,1),(6464,1),(6469,1),(6540,1),(7464,1),(7492,1),(7591,1),(8312,1)}
7010:{1,3,4,6}:{(6331,1),(6455,1),(6470,1),(6676,1),(7306,1),(7452,1),(7472,1),(8172,1)}
7011:{1,3,4,6}:{(6330,1),(6454,1),(6471,1),(6676,1),(7314,1),(7453,1),(7473,1),(8176,1)}
7012:{1,4,6}:{(6332,1),(6457,1),(6473,1),(7308,1),(7474,1),(7492,1)}
7013:{1,4,6}:{(6333,1),(6456,1),(6472,1),(7310,1),(7475,1),(7493,1)}
7014:{2,6,7}:{(6412,1),(6480,1),(6696,1),(7500,1)}
7015:{2,6,7}:{(6411,1),(6481,1),(6696,1),(7502,1)}
7016:{1,2,6}:{(6413,1),(6479,1),(6607,1),(7427,1),(8237,1)}
7017:{1,2,6}:{(6410,1),(6478,1),(6607,1),(7424,1),(8239,1)}
7018:{1,2,5,7}:{(6408,1),(6474,1),(6505,1),(6608,1),(7286,1),(7410,1),(7498,1),(8197,1),(8854,1),(8889,1),(9278,1)}
7019:{1,2,5,7}:{(6409,1),(6475,1),(6504,1),(6608,1),(7296,1),(7408,1),(7496,1),(8935,1)}
7020:{2,5,7}:{(6407,1),(6476,1),(6503,1),(7285,1)}
7021:{2,5,7}:{(6406,1),(6477,1),(6502,1),(7297,1),(8199,1)}
7022:{1,2,5,7}:{(6337,1),(6416,1),(6483,1),(6501,1),(7288,1),(7290,1),(7386,1),(7415,1),(7511,1),(8357,1)}
7023:{1,2,5,7}:{(6335,1),(6414,1),(6485,1),(6499,1),(7294,1),(7387,1),(7413,1),(8192,1),(8359,1),(9557,1)}
7024:{1,2,4,5,7}:{(6336,1),(6415,1),(6484,1),(6500,1),(6697,1),(7285,1),(7385,1),(7412,1),(7521,1),(7588,1),(7642,1),(8182,1),(8244,1),(8283,1),(8296,1),(8360,1),(8463,1),(8859,1)}
7025:{1,2,4,5,7}:{(6334,1),(6417,1),(6482,1),(6498,1),(6697,1),(7293,1),(7296,1),(7384,1),(7414,1),(7508,1),(7520,1),(7588,1),(7642,1),(8185,1),(8243,1),(8283,1),(8293,1),(8342,1),(8358,1),(8417,1),(8463,1),(8860,1),(8861,1),(8893,1),(8935,1),(9384,1)}
7026:{1,2,4,5,7}:{(6478,1),(6493,1),(6506,1),(6609,1),(6652,1),(7291,1),(7325,1),(7419,1),(7503,1),(7680,1),(8120,1),(8291,1),(8305,1)}
7027:{4,5,7}:{(6481,1),(6491,1),(6507,1),(7289,1),(7324,1),(7416,1),(7502,1),(8126,1),(8199,1)}
7028:{1,2,4,5,7}:{(6479,1),(6490,1),(6509,1),(6609,1),(6652,1),(7287,1),(7327,1),(7417,1),(7501,1),(7680,1),(8128,1),(8197,1),(8291,1),(8307,1),(8797,1),(8853,1),(8932,1),(9292,1),(9570,1)}
7029:{4,5,7}:{(6480,1),(6492,1),(6508,1),(7294,1),(7418,1),(7500,1)}
7030:{5,7}:{(6486,1),(6510,1),(7504,1),(7584,1)}
7031:{2,5,7}:{(6487,1),(6511,1),(6653,1),(7507,1)}
7032:{2,4,5,7}:{(6488,1),(6513,1),(6653,1),(6698,1),(7420,1),(7506,1),(7589,1),(7611,1),(8897,1),(9255,1)}
7033:{4,5,7}:{(6489,1),(6512,1),(6698,1),(7421,1),(7505,1),(7584,1),(8199,1),(8208,1),(8899,1)}
7034:{1,2,4,5,6}:{(6343,1),(6423,1),(6494,1),(6701,1),(6702,1),(7429,1),(7505,1),(7515,1),(7529,1),(7584,1),(7592,1),(7668,1),(7671,1),(8208,1),(8303,1),(8372,1),(8395,1),(8419,1),(8428,1),(8430,1),(8446,1),(8448,1),(8450,1),(8459,1),(8898,1),(8906,1),(8939,1),(8976,1),(8984,1),(9023,1),(9386,1)}
7035:{1,2,5,6}:{(6344,1),(6425,1),(6496,1),(6702,1),(7430,1),(7504,1),(7513,1),(7584,1),(7668,1),(8393,1),(8450,1)}
7036:{1,2,6}:{(6342,1),(6424,1),(6495,1),(7428,1),(7507,1),(8810,1)}
7037:{1,2,4,6}:{(6345,1),(6422,1),(6497,1),(6701,1),(7431,1),(7506,1),(7530,1),(7592,1),(8301,1),(8394,1),(8448,1)}
7038:{1,2,4,5,7}:{(6347,1),(6426,1),(6704,1),(6705,1),(7384,1),(7432,1),(7512,1),(7533,1),(7611,1),(7617,1),(7670,1),(7673,1),(8243,1),(8259,1),(8342,1),(8347,1),(8358,1),(8379,1),(8383,1),(8428,1),(8432,1),(8463,1),(8467,1),(8860,1),(8861,1),(8893,1),(8900,1),(8973,1),(9384,1)}
7039:{1,2,7}:{(6346,1),(6429,1),(7387,1),(7434,1),(7513,1),(7535,1)}
7040:{1,2,5,7}:{(6348,1),(6427,1),(6705,1),(7386,1),(7433,1),(7514,1),(7534,1),(7611,1),(7670,1),(8357,1)}
7041:{1,2,4,7}:{(6349,1),(6428,1),(6704,1),(7385,1),(7435,1),(7515,1),(7532,1),(7617,1),(7673,1),(8360,1)}
7042:{1,2,5,6}:{(6357,1),(6434,1),(6521,1),(6523,1),(7459,1),(7522,1),(7527,1)}
7043:{1,2,5,6}:{(6356,1),(6437,1),(6519,1),(6525,1),(7458,1),(7521,1),(7525,1)}
7044:{1,2,5,6}:{(6355,1),(6436,1),(6518,1),(6524,1),(7457,1),(7523,1),(7526,1),(7531,1),(8356,1),(8370,1)}
7045:{1,2,5,6}:{(6354,1),(6435,1),(6520,1),(6522,1),(7456,1),(7520,1),(7524,1),(7530,1),(8353,1),(8369,1)}
7046:{1,2,5,7}:{(6361,1),(6443,1),(6521,1),(6527,1),(7528,1),(7535,1),(7537,1),(8359,1),(8380,1)}
7047:{1,2,5,7}:{(6360,1),(6445,1),(6518,1),(6526,1),(7531,1),(7534,1),(7539,1),(8357,1),(8370,1)}
7048:{1,2,5,7}:{(6358,1),(6444,1),(6520,1),(6529,1),(7530,1),(7533,1),(7536,1),(8358,1),(8369,1)}
7049:{1,2,5,7}:{(6359,1),(6442,1),(6519,1),(6528,1),(7529,1),(7532,1),(7538,1),(8360,1),(8378,1)}
7050:{1,2,6,7}:{(6365,1),(6441,1),(6525,1),(6720,1),(7521,1),(8360,1)}
7051:{1,2,7}:{(6363,1),(6439,1),(6524,1),(7541,1)}
7052:{1,2,6,7}:{(6364,1),(6440,1),(6523,1),(6720,1),(7522,1),(8359,1)}
7053:{1,2,7}:{(6362,1),(6438,1),(6522,1),(7542,1)}
7054:{1,4,6}:{(6369,1),(6524,1),(6532,1),(7311,1),(7526,1),(7541,1),(8173,1),(8356,1)}
7055:{1,4,6}:{(6368,1),(6522,1),(6531,1),(7300,1),(7524,1),(7542,1),(8169,1),(8353,1)}
7056:{1,2,4,6}:{(6366,1),(6525,1),(6533,1),(6676,1),(7306,1),(7458,1),(7525,1),(8172,1)}
7057:{1,2,4,6}:{(6367,1),(6523,1),(6530,1),(6676,1),(7314,1),(7459,1),(7527,1),(8176,1)}
7058:{1,3,5,6,7}:{(6372,1),(6514,1),(6536,1),(6541,1),(7363,1),(7369,1),(7447,1),(7466,1),(7471,1),(8231,1),(8309,1)}
7059:{1,2,3,5,6,7}:{(6370,1),(6517,1),(6537,1),(6540,1),(6678,1),(7362,1),(7368,1),(7446,1),(7464,1),(7470,1),(7628,1),(7669,1),(7689,1),(8159,1),(8187,1),(8229,1),(8240,1),(8270,1),(8312,1),(8342,1),(8358,1),(8385,1),(8400,1),(8791,1),(8846,1),(8888,1),(8915,1),(8935,1),(8941,1),(8972,1),(8993,1),(9280,1),(9304,1),(9548,1),(9553,1)}
7060:{1,3,5,6,7}:{(6371,1),(6516,1),(6534,1),(6539,1),(7361,1),(7370,1),(7445,1),(7467,1),(7468,1),(8310,1)}
7061:{1,2,3,5,6,7}:{(6373,1),(6515,1),(6535,1),(6538,1),(6678,1),(7360,1),(7371,1),(7444,1),(7465,1),(7469,1),(7628,1),(7669,1),(7689,1),(8154,1),(8194,1),(8239,1),(8269,1),(8311,1),(8343,1),(8360,1),(8388,1),(8436,1),(8970,1)}
7062:{1,2,3,5}:{(6374,1),(6449,1),(6520,1),(6544,1),(7463,1),(7491,1),(7533,1),(7552,1),(8335,1),(8411,1)}
7063:{1,2,3,5}:{(6376,1),(6447,1),(6519,1),(6542,1),(7462,1),(7488,1),(7532,1),(7554,1),(8334,1),(8378,1),(8409,1)}
7064:{1,2,3,5}:{(6375,1),(6448,1),(6521,1),(6543,1),(7460,1),(7489,1),(7535,1),(7553,1),(8336,1),(8380,1),(8410,1)}
7065:{1,2,3,5}:{(6377,1),(6446,1),(6518,1),(6545,1),(7461,1),(7490,1),(7534,1),(7555,1),(8333,1),(8412,1)}
7066:{1,2,3,5}:{(6380,1),(6450,1),(6553,1),(6718,1),(7383,1),(7518,1),(7635,1),(8134,1),(8363,1),(8881,1)}
7067:{1,2,5,6}:{(6381,1),(6453,1),(6551,1),(6736,1),(7381,1),(7519,1),(7558,1),(7567,1),(7695,1)}
7068:{1,2,5,6}:{(6378,1),(6451,1),(6552,1),(6736,1),(7382,1),(7559,1),(7565,1),(7695,1)}
7069:{1,2,3,5}:{(6379,1),(6452,1),(6550,1),(6718,1),(7380,1),(7516,1),(7635,1),(8141,1),(8361,1),(8874,1),(8911,1),(9292,1)}
7070:{1,2,3,6}:{(6383,1),(6457,1),(6522,1),(6548,1),(7307,1),(7315,1),(7568,1),(8874,1),(8883,1)}
7071:{1,2,3,6}:{(6385,1),(6456,1),(6524,1),(6546,1),(7302,1),(7304,1),(7571,1),(8871,1),(9301,1)}
7072:{1,2,3,6}:{(6382,1),(6454,1),(6525,1),(6547,1),(7301,1),(8953,1),(8984,1)}
7073:{1,2,3,6}:{(6384,1),(6455,1),(6523,1),(6549,1),(7309,1),(8956,1),(8981,1)}
7074:{1,2,3,7}:{(6386,1),(6458,1),(6526,1),(6545,1),(7582,1),(8357,1),(8846,1),(8871,1)}
7075:{1,2,3,6,7}:{(6387,1),(6459,1),(6527,1),(6543,1),(6741,1),(7562,1),(7580,1),(7693,1),(8840,1),(8857,1),(8873,1),(8956,1),(8981,1),(9302,1)}
7076:{1,2,3,6,7}:{(6389,1),(6461,1),(6528,1),(6542,1),(6741,1),(7561,1),(7583,1),(7693,1),(8841,1),(8866,1),(8869,1),(8953,1),(8984,1)}
7077:{1,2,3,7}:{(6388,1),(6460,1),(6529,1),(6544,1),(7581,1),(8358,1),(8852,1),(8874,1)}
7078:{1,2,6}:{(6392,1),(6462,1),(6558,1),(7313,1),(9544,1)}
7079:{1,2,4,6}:{(6393,1),(6464,1),(6560,1),(6738,1),(7301,1),(7547,1),(7644,1),(7695,1),(8301,1),(8394,1),(8448,1),(8828,1),(8984,1),(9397,1)}
7080:{1,2,3,6}:{(6390,1),(6463,1),(6561,1),(6722,1),(7300,1),(7513,1),(7545,1),(7606,1),(7632,1)}
7081:{1,2,3,4,6}:{(6391,1),(6465,1),(6559,1),(6722,1),(6738,1),(7315,1),(7515,1),(7544,1),(7606,1),(7632,1),(7644,1),(7675,1),(8234,1),(8262,1),(8301,1),(8376,1),(8408,1),(8419,1),(8427,1),(8441,1),(8874,1),(8923,1),(8964,1)}
7082:{1,2,4,6}:{(6394,1),(6544,1),(6554,1),(6693,1),(7310,1),(7463,1),(7552,1),(7581,1),(8175,1),(8301,1),(8394,1)}
7083:{1,4,6}:{(6395,1),(6542,1),(6557,1),(7313,1),(7462,1),(7554,1)}
7084:{1,4,6}:{(6396,1),(6543,1),(6555,1),(7303,1),(7460,1),(7553,1)}
7085:{1,2,4,6}:{(6397,1),(6545,1),(6556,1),(6693,1),(7308,1),(7461,1),(7555,1),(7582,1),(8170,1),(8304,1),(8396,1)}
7086:{1,2,3,4,6}:{(6399,1),(6562,1),(6694,1),(6723,1),(6740,1),(7556,1),(7578,1),(7656,1),(7700,1),(8389,1),(8414,1)}
7087:{1,4,6}:{(6401,1),(6564,1),(6740,1),(7559,1),(7579,1)}
7088:{1,6}:{(6398,1),(6563,1),(7577,1)}
7089:{1,2,3,6}:{(6400,1),(6565,1),(6694,1),(6723,1),(7557,1),(7576,1),(8877,1),(8881,1),(9307,1)}
7090:{1,2,4,7}:{(6403,1),(6469,1),(6552,1),(6742,1),(7384,1),(7565,1),(7579,1)}
7091:{1,2,3,4,7}:{(6404,1),(6466,1),(6550,1),(6724,1),(6742,1),(7385,1),(7566,1),(7634,1),(7677,1),(8254,1),(8275,1),(8360,1),(8853,1),(9002,1),(9558,1)}
7092:{1,2,3,7}:{(6402,1),(6467,1),(6553,1),(6724,1),(7387,1),(7634,1),(8359,1),(9523,1)}
7093:{1,2,7}:{(6405,1),(6468,1),(6551,1),(7386,1),(7577,1)}
7094:{4,5,6}:{(6566,1),(6567,1),(6746,1),(6748,1),(7376,1),(7593,1),(8197,1),(8200,1),(8214,1),(8797,1)}
7095:{4,5,7}:{(6568,1),(6573,1),(6579,1),(7585,1),(7610,1),(8197,1),(8797,1)}
7096:{4,6}:{(6569,1),(6618,1),(9245,1)}
7097:{4,5,7}:{(6571,1),(6575,1),(6591,1),(7586,1),(7611,1)}
7098:{4,7}:{(6572,1),(6619,1)}
7099:{4,5}:{(6572,1),(6620,1),(7322,1),(8419,1)}
7100:{4,6}:{(6574,1),(6634,1),(7323,1),(7588,1),(8419,1)}
7101:{4,5}:{(6574,1),(6635,1),(7320,1),(8432,1)}
7102:{4,6}:{(6576,1),(6638,1),(7584,1)}
7103:{4,7}:{(6574,1),(6639,1),(7592,1),(8419,1),(8432,1)}
7104:{4,7}:{(6577,1),(6640,1)}
7105:{4,5,7}:{(6576,1),(6578,1),(6641,1),(7324,1),(7584,1),(7590,1),(8199,1)}
7106:{3,5,6}:{(6566,1),(6579,1),(6581,1),(7585,1),(7647,1),(8197,1),(8200,1),(8793,1)}
7107:{3,5,7}:{(6567,1),(6580,1),(6589,1),(7593,1),(7648,1)}
7108:{3,4,5}:{(6568,1),(6580,1),(6586,1),(7340,1),(7602,1),(7620,1),(7649,1),(8208,1),(8325,1),(8419,1),(8951,1),(8961,1),(9337,1)}
7109:{3,4,5,7}:{(6569,1),(6584,1),(6587,1),(6749,1),(6751,1),(7594,1),(7650,1),(9570,1)}
7110:{3,4,5,7}:{(6570,1),(6585,1),(6592,1),(7318,1),(7319,1),(7329,1),(7331,1),(7588,1),(7603,1),(7621,1),(7651,1),(8229,1),(8417,1),(8425,1),(8893,1)}
7111:{3,4,5}:{(6571,1),(6588,1),(6593,1),(7351,1),(7604,1),(7622,1),(7652,1),(8206,1),(8207,1),(8333,1),(8432,1),(8899,1),(8900,1),(8950,1),(9018,1),(9328,1)}
7112:{3,4,6,7}:{(6573,1),(6586,1),(6587,1),(6636,1),(7328,1),(7331,1),(7337,1),(7338,1),(7594,1),(7595,1),(7653,1),(8128,1),(8132,1),(8209,1),(8210,1),(8214,1),(8216,1),(8221,1),(8225,1),(8323,1),(8839,1),(8945,1),(9322,1),(9556,1),(9570,1)}
7113:{3,4,7}:{(6575,1),(6588,1),(6642,1),(7353,1),(7654,1),(8129,1),(8432,1),(8846,1),(8893,1),(8896,1),(9018,1)}
7114:{3,4,7}:{(6576,1),(6590,1),(6644,1),(7354,1),(7597,1),(7655,1),(8419,1),(8961,1)}
7115:{3,4,6}:{(6577,1),(6590,1),(6643,1),(7344,1),(7357,1),(7598,1),(7656,1),(8419,1),(8961,1),(9021,1)}
7116:{3,4,5}:{(6578,1),(6590,1),(6637,1),(7348,1),(7358,1),(7638,1),(7657,1),(8336,1)}
7117:{3,5,6}:{(6591,1),(6595,1),(6651,1),(7586,1),(7601,1),(7658,1)}
7118:{3,5,7}:{(6594,1),(6605,1),(6652,1),(7600,1)}
7119:{3,5,7}:{(6593,1),(6606,1),(6653,1),(7601,1),(7660,1)}
7120:{3,5,6,7}:{(6592,1),(6596,1),(6597,1),(6654,1),(7360,1),(7368,1),(7603,1),(8162,1),(8229,1),(8800,1),(8888,1),(9548,1)}
7121:{3,6,7}:{(6598,1),(6599,1),(6655,1),(7600,1),(8323,1),(8945,1)}
7122:{3,4,6}:{(6597,1),(6600,1),(6656,1),(7586,1),(7592,1),(7630,1)}
7123:{3,4,5}:{(6594,1),(6603,1),(6657,1),(7359,1),(7602,1),(7635,1),(8234,1),(8325,1),(8419,1),(9276,1),(9570,1)}
7124:{3}:{(6658,1)}
7125:{3,4,6}:{(6598,1),(6604,1),(6659,1),(7602,1),(7606,1),(7632,1),(8234,1),(8419,1)}
7126:{3,4,6}:{(6601,1),(6602,1),(6660,1),(7604,1),(7608,1),(7633,1),(8233,1),(8432,1)}
7127:{3,4,7}:{(6599,1),(6603,1),(6661,1),(7634,1),(8323,1)}
7128:{2,5,6}:{(6566,1),(6607,1),(6608,1),(7379,1)}
7129:{2,4,6}:{(6607,1),(6609,1),(6746,1),(6748,1),(7376,1),(7619,1),(8214,1),(8237,1),(8239,1)}
7130:{2,5}:{(6568,1),(6615,1),(7584,1)}
7131:{2,7}:{(6570,1),(6612,1)}
7132:{2,5}:{(6571,1),(6616,1)}
7133:{2,4,6}:{(6572,1),(6613,1),(6622,1),(7592,1),(7614,1),(8419,1)}
7134:{2,4,5,7}:{(6569,1),(6614,1),(6617,1),(6623,1),(7325,1),(7327,1),(7587,1),(7610,1),(7612,1),(8197,1),(8241,1),(8889,1),(9245,1)}
7135:{2,4,6,7}:{(6573,1),(6615,1),(6617,1),(6626,1),(7385,1),(7387,1),(7591,1),(7610,1),(7612,1),(8237,1),(8239,1),(8241,1),(8818,1)}
7136:{2,4}:{(6574,1),(6627,1),(8432,1)}
7137:{2,4,7}:{(6575,1),(6616,1),(6645,1),(7386,1),(7611,1)}
7138:{2,3,5,7}:{(6579,1),(6608,1),(6620,1),(6632,1),(7389,1),(7587,1),(7610,1),(7618,1),(7679,1),(8197,1),(8424,1),(8793,1),(8889,1),(8911,1)}
7139:{2,3,5,7}:{(6609,1),(6621,1),(6633,1),(6749,1),(6750,1),(7619,1),(7680,1)}
7140:{2,3,6}:{(6581,1),(6607,1),(6623,1),(7612,1),(7683,1),(8237,1),(8239,1)}
7141:{2,3,5,6,7}:{(6582,1),(6610,1),(6619,1),(6622,1),(6626,1),(7394,1),(7610,1),(7613,1),(7618,1),(7621,1),(7681,1),(8239,1),(8251,1),(8436,1),(8438,1),(8811,1),(8890,1),(8913,1)}
7142:{2,3,6,7}:{(6583,1),(6611,1),(6624,1),(6625,1),(7619,1),(7682,1),(8815,1)}
7143:{2,3,5,6}:{(6585,1),(6612,1),(6627,1),(7380,1),(7382,1),(7397,1),(7398,1),(7615,1),(7621,1),(7630,1),(7684,1),(8141,1),(8239,1),(8265,1),(8428,1),(8441,1),(8811,1),(8890,1)}
7144:{2,3,4,5}:{(6584,1),(6614,1),(6621,1),(6630,1),(7340,1),(7342,1),(7357,1),(7359,1),(7620,1),(7635,1),(7685,1),(8138,1),(8145,1),(8148,1),(8325,1),(8419,1),(8870,1),(8877,1),(8961,1),(9337,1),(9570,1)}
7145:{2,3,4,6}:{(6586,1),(6615,1),(6624,1),(6631,1),(7398,1),(7399,1),(7403,1),(7597,1),(7620,1),(7632,1),(7686,1),(8138,1),(8145,1),(8264,1),(8406,1),(8419,1),(8877,1),(8961,1)}
7146:{2,3,4,7}:{(6587,1),(6617,1),(6625,1),(6630,1),(7337,1),(7338,1),(7598,1),(7634,1),(7687,1),(8256,1),(8323,1),(9003,1),(9322,1)}
7147:{2,3,4,6}:{(6588,1),(6616,1),(6628,1),(7396,1),(7397,1),(7404,1),(7405,1),(7622,1),(7625,1),(7633,1),(7688,1),(8139,1),(8261,1),(8412,1),(8432,1),(8434,1),(8883,1),(9018,1)}
7148:{2,3,5,7}:{(6592,1),(6634,1),(6646,1),(6697,1),(7588,1)}
7149:{2,3,5,7}:{(6591,1),(6635,1),(6649,1),(6698,1),(7421,1),(7584,1),(7589,1),(7611,1),(7626,1),(7690,1),(8199,1),(8206,1),(8426,1),(8428,1),(8435,1),(8799,1),(8891,1)}
7150:{3,5,7}:{(6637,1),(6650,1),(6699,1),(7627,1),(7691,1)}
7151:{2,3,6}:{(6595,1),(6641,1),(6696,1),(7590,1),(7627,1),(7695,1)}
7152:{2,3,6,7}:{(6596,1),(6638,1),(6640,1),(6700,1),(7424,1),(7591,1)}
7153:{2,3,5,6}:{(6597,1),(6638,1),(6639,1),(6701,1),(7431,1),(7584,1),(7592,1),(7630,1),(8206,1),(8428,1)}
7154:{2,3,6}:{(6598,1),(6644,1),(6702,1),(7597,1),(7627,1),(8956,1)}
7155:{2,3,5,7}:{(6599,1),(6643,1),(6647,1),(6703,1),(7418,1),(7598,1),(7629,1),(7634,1),(8323,1),(8420,1),(8838,1),(9003,1)}
7156:{2,3,5,7}:{(6600,1),(6627,1),(6645,1),(6704,1),(7435,1),(7611,1),(7617,1),(7630,1),(8265,1),(8428,1)}
7157:{2,3,7}:{(6601,1),(6628,1),(6705,1),(7633,1),(8412,1)}
7158:{2,3,6,7}:{(6602,1),(6642,1),(6706,1),(7368,1),(7369,1),(7428,1),(7431,1),(7601,1),(7609,1),(7631,1),(7633,1),(8434,1),(8846,1),(8883,1),(8955,1),(9548,1)}
7159:{2,3,6}:{(6603,1),(6648,1),(6707,1),(7606,1),(7634,1),(7635,1),(8877,1)}
7160:{2,3,7}:{(6604,1),(6648,1),(6708,1),(7632,1),(8877,1)}
7161:{2,3,4}:{(6590,1),(6648,1),(6709,1),(7406,1),(7608,1),(7638,1)}
7162:{1,4,6}:{(6652,1),(6695,1),(6746,1),(6748,1),(7600,1),(7703,1)}
7163:{4,6}:{(6651,1),(6653,1),(7507,1),(7601,1)}
7164:{1,4,5}:{(6568,1),(6659,1),(6662,1),(7584,1),(7602,1),(7668,1),(8208,1),(8419,1),(8450,1)}
7165:{1,4,6,7}:{(6570,1),(6656,1),(6678,1),(7603,1),(7651,1),(7669,1),(8828,1)}
7166:{1,4,5}:{(6571,1),(6660,1),(6679,1),(7604,1),(7670,1),(8207,1),(8432,1),(8899,1),(9336,1)}
7167:{1,4,5,7}:{(6569,1),(6657,1),(6661,1),(6725,1),(7317,1),(7319,1),(7325,1),(7327,1),(7605,1),(7641,1),(8120,1),(8128,1),(8197,1),(8281,1),(8307,1),(8797,1),(8925,1),(8932,1),(9245,1),(9570,1),(9571,1)}
7168:{1,4,6}:{(6572,1),(6658,1),(6710,1),(7606,1),(7642,1),(7643,1)}
7169:{1,4,6,7}:{(6573,1),(6659,1),(6661,1),(6726,1),(7591,1),(7607,1),(7639,1),(7641,1),(7642,1),(8225,1),(8281,1),(8447,1)}
7170:{1,4}:{(6574,1),(6727,1),(7608,1),(8432,1)}
7171:{1,4,6,7}:{(6575,1),(6660,1),(6732,1),(7586,1),(7592,1),(7609,1),(7640,1),(7646,1),(7654,1),(8202,1),(8284,1),(8301,1),(8432,1),(8448,1),(8452,1),(8893,1),(8896,1),(8989,1),(9028,1)}
7172:{1,5,7}:{(6579,1),(6662,1),(6675,1),(7647,1),(8197,1),(8932,1)}
7173:{1,5}:{(6580,1),(6676,1)}
7174:{1,4,5,6,7}:{(6582,1),(6663,1),(6665,1),(6668,1),(7451,1),(7639,1),(7642,1),(7647,1),(7651,1),(7661,1),(7681,1),(8280,1),(8290,1),(8353,1),(8447,1),(8449,1),(8794,1),(8828,1),(8935,1)}
7175:{1,4,6,7}:{(6583,1),(6664,1),(6666,1),(6667,1),(7662,1),(7682,1),(7703,1),(7704,1),(8392,1)}
7176:{1,4,5}:{(6584,1),(6673,1),(6752,1),(6753,1),(8932,1),(9337,1)}
7177:{1,4,6}:{(6581,1),(6670,1),(6677,1),(7647,1),(7683,1),(7703,1),(8353,1)}
7178:{1,4,5,6}:{(6585,1),(6656,1),(6669,1),(6680,1),(7440,1),(7453,1),(7454,1),(7644,1),(7651,1),(7684,1),(8165,1),(8828,1)}
7179:{1,4,6}:{(6586,1),(6674,1),(6730,1),(7649,1),(8172,1),(8176,1)}
7180:{1,4,7}:{(6587,1),(6673,1),(6729,1),(9322,1)}
7181:{1,4,6}:{(6588,1),(6671,1),(6731,1),(7461,1),(7463,1),(7652,1),(7654,1)}
7182:{1,4,6,7}:{(6589,1),(6676,1),(6728,1),(6755,1),(6756,1),(7648,1),(7703,1),(7704,1)}
7183:{1,4}:{(6590,1),(6733,1)}
7184:{1,5,7}:{(6591,1),(6679,1),(6692,1),(7584,1),(7658,1),(8199,1)}
7185:{1,3,5,7}:{(6592,1),(6663,1),(6680,1),(6690,1),(7464,1),(7651,1),(8182,1),(8229,1),(8935,1),(9553,1)}
7186:{1,5}:{(6593,1),(6693,1)}
7187:{1,3,5}:{(6594,1),(6694,1),(6752,1),(6754,1),(8325,1),(8932,1),(9276,1)}
7188:{1,3,5,6}:{(6597,1),(6665,1),(6681,1),(6685,1),(7476,1),(7584,1),(7602,1),(7606,1),(7658,1),(8326,1),(8395,1),(8421,1),(8450,1)}
7189:{1,3,6}:{(6598,1),(6666,1),(6684,1),(8956,1)}
7190:{1,3,5,7}:{(6599,1),(6667,1),(6683,1),(6689,1),(7662,1),(7666,1),(8323,1),(8324,1),(8838,1)}
7191:{1,4,6}:{(6595,1),(6688,1),(7586,1),(7590,1),(7658,1),(7695,1)}
7192:{1,3,4,6,7}:{(6596,1),(6668,1),(6685,1),(6687,1),(7481,1),(7483,1),(7591,1),(7603,1),(7607,1),(7661,1),(7662,1),(7696,1),(8222,1),(8392,1),(8449,1),(8454,1),(8836,1),(8848,1),(8888,1)}
7193:{1,3,4,5,7}:{(6600,1),(6669,1),(6681,1),(6686,1),(7484,1),(7604,1),(7608,1),(7640,1),(7646,1),(7651,1),(7663,1),(7697,1),(8229,1),(8297,1),(8334,1),(8425,1),(8426,1),(8432,1),(8796,1),(8845,1),(8893,1),(9017,1),(9033,1),(9270,1),(9315,1),(9336,1),(9553,1)}
7194:{1,3,4,7}:{(6601,1),(6671,1),(6682,1),(7654,1),(7667,1),(7698,1),(8846,1),(8852,1),(9309,1)}
7195:{1,3,6}:{(6602,1),(6672,1),(6682,1),(7490,1),(7491,1),(9548,1)}
7196:{1,3,4,6}:{(6603,1),(6673,1),(6683,1),(6691,1),(7452,1),(7453,1),(7656,1),(7664,1),(7666,1),(7700,1),(8331,1)}
7197:{1,3,4,7}:{(6604,1),(6674,1),(6684,1),(6691,1),(7488,1),(7489,1),(7655,1),(7665,1),(7701,1),(8323,1),(8324,1),(8339,1)}
7198:{1,3,4,7}:{(6605,1),(6689,1),(6694,1),(6755,1),(6756,1),(7576,1),(7659,1),(8307,1),(8323,1),(8324,1),(8839,1)}
7199:{1,4,7}:{(6606,1),(6693,1),(6737,1),(7660,1)}
7200:{2,5,6}:{(6651,1),(6696,1),(6698,1),(7505,1),(7506,1)}
7201:{4,6}:{(6696,1),(6699,1),(7504,1),(7627,1)}
7202:{1,2,5,6,7}:{(6610,1),(6654,1),(6697,1),(6700,1),(6701,1),(7496,1),(7499,1),(7508,1),(7628,1),(7669,1),(8239,1),(8240,1),(8342,1),(8890,1),(8935,1),(9280,1)}
7203:{1,2,4,6,7}:{(6611,1),(6655,1),(6700,1),(6702,1),(6703,1),(7500,1),(7503,1),(7509,1),(7591,1),(7629,1),(7682,1),(8225,1),(8392,1),(8454,1),(8815,1),(8832,1)}
7204:{1,2,6}:{(6612,1),(6656,1),(6704,1),(7630,1),(8239,1)}
7205:{1,2,4,7}:{(6613,1),(6658,1),(6711,1),(7631,1),(7642,1),(7646,1),(7671,1),(7673,1),(9255,1),(9531,1)}
7206:{1,2,4,6}:{(6615,1),(6659,1),(6708,1),(6715,1),(7513,1),(7632,1),(7668,1),(8264,1),(8348,1),(8419,1)}
7207:{1,2,4,6}:{(6616,1),(6660,1),(6705,1),(6716,1),(7514,1),(7633,1),(7670,1),(7673,1),(8261,1),(8432,1)}
7208:{1,2,4,7}:{(6617,1),(6661,1),(6707,1),(6717,1),(7385,1),(7387,1),(7634,1),(7642,1),(8256,1),(8359,1),(8360,1)}
7209:{1,2,4,5}:{(6614,1),(6657,1),(6707,1),(6718,1),(7380,1),(7383,1),(7518,1),(7635,1),(7643,1),(7668,1),(8138,1),(8148,1),(8348,1),(8361,1),(8363,1),(8419,1),(9292,1),(9570,1)}
7210:{1,2,4,7}:{(6576,1),(6709,1),(6734,1),(7617,1),(7636,1),(7646,1),(7655,1),(7675,1),(8419,1),(8992,1),(9531,1)}
7211:{1,2,4,6}:{(6577,1),(6709,1),(6735,1),(7516,1),(7615,1),(7637,1),(7644,1),(7656,1),(7677,1),(8419,1),(8992,1),(9021,1)}
7212:{1,2,4,5}:{(6578,1),(6709,1),(6736,1),(7519,1),(7616,1),(7638,1),(7645,1),(7657,1),(8378,1)}
7213:{1,2,5,7}:{(6619,1),(6663,1),(6710,1),(6719,1),(7642,1)}
7214:{1,2,5}:{(6620,1),(6662,1),(6722,1),(7524,1),(7643,1)}
7215:{1,2,5}:{(6621,1),(6723,1),(6752,1),(6754,1),(8932,1)}
7216:{1,2,5,6}:{(6622,1),(6665,1),(6711,1),(6715,1),(7530,1),(7668,1),(7671,1),(8369,1),(8906,1)}
7217:{1,2,6}:{(6624,1),(6666,1),(6714,1)}
7218:{1,2,5,7}:{(6625,1),(6667,1),(6712,1),(6720,1),(7682,1),(7687,1),(8359,1),(8360,1)}
7219:{1,2,6,7}:{(6626,1),(6668,1),(6715,1),(6717,1),(7683,1),(8239,1),(8360,1),(8815,1),(8854,1),(8970,1)}
7220:{1,2,5}:{(6627,1),(6669,1),(6716,1),(7532,1),(7673,1)}
7221:{1,2,5,7}:{(6623,1),(6670,1),(6718,1),(6724,1),(7683,1),(8854,1),(9278,1)}
7222:{1,2}:{(6628,1),(6671,1)}
7223:{1,2,4,6,7}:{(6629,1),(6672,1),(6713,1),(7450,1),(7451,1),(7530,1),(7531,1),(7536,1),(7539,1),(7654,1),(7688,1),(7699,1),(8301,1),(8304,1),(8357,1),(8358,1)}
7224:{1,2,4,6}:{(6630,1),(6673,1),(6712,1),(6721,1),(7458,1),(7459,1),(7656,1),(7685,1),(7687,1),(7700,1)}
7225:{1,2,4,7}:{(6631,1),(6674,1),(6714,1),(6721,1),(7532,1),(7535,1),(7655,1),(7686,1),(7701,1),(8359,1),(8360,1)}
7226:{1,2,4,6,7}:{(6632,1),(6675,1),(6719,1),(6722,1),(6724,1),(7542,1),(7575,1),(7642,1),(7679,1),(7683,1),(8281,1),(8351,1),(8353,1),(8447,1),(8830,1),(8854,1)}
7227:{1,2,4,7}:{(6633,1),(6720,1),(6723,1),(6755,1),(6756,1),(7576,1),(7680,1),(8307,1),(8359,1),(8360,1)}
7228:{1,2,3,5,6}:{(6618,1),(6677,1),(6695,1),(6725,1),(7360,1),(7361,1),(7424,1),(7427,1),(7600,1),(7641,1),(7647,1),(7683,1),(7703,1),(8154,1),(8158,1),(8197,1),(8200,1),(8237,1),(8239,1),(8310,1),(8311,1),(8354,1),(8389,1),(8391,1),(8422,1),(8440,1),(8460,1),(8929,1),(8932,1),(8945,1),(8970,1),(8971,1)}
7229:{1,2,3,5,6}:{(6634,1),(6680,1),(6710,1),(6727,1),(6738,1),(7544,1),(7547,1),(7606,1),(7644,1),(7684,1),(7689,1),(8236,1),(8268,1),(8441,1)}
7230:{1,2,5}:{(6635,1),(6679,1),(6743,1),(7554,1),(7645,1),(9336,1)}
7231:{1,2,3,5,6,7}:{(6636,1),(6664,1),(6728,1),(6729,1),(6730,1),(7468,1),(7469,1),(7521,1),(7522,1),(7648,1),(7653,1),(7662,1),(7682,1),(7703,1),(7705,1),(8190,1),(8194,1),(8310,1),(8311,1),(8323,1),(8324,1),(8354,1),(8355,1),(8359,1),(8360,1),(8391,1),(8455,1),(8466,1),(8472,1),(8932,1),(8945,1),(8948,1),(8970,1),(8971,1)}
7232:{1,5}:{(6637,1),(6744,1)}
7233:{1,2,3,5,7}:{(6639,1),(6681,1),(6711,1),(6727,1),(6739,1),(7631,1),(7646,1),(7690,1),(7692,1),(8426,1),(8909,1),(9270,1),(9531,1)}
7234:{1,2,3,5,7}:{(6642,1),(6682,1),(6713,1),(6731,1),(6737,1),(7470,1),(7471,1),(7654,1),(7660,1),(7698,1),(7699,1),(8187,1),(8188,1),(8357,1),(8358,1),(8457,1),(8467,1),(8471,1),(8846,1),(8852,1)}
7235:{1,2,3,5,6}:{(6643,1),(6683,1),(6712,1),(6733,1),(6740,1),(7556,1),(7559,1),(7656,1),(7693,1),(7694,1),(7700,1),(8389,1),(8450,1),(8469,1),(8929,1)}
7236:{1,2,3,5,7}:{(6644,1),(6684,1),(6714,1),(6733,1),(6741,1),(7655,1),(7691,1),(7693,1),(7701,1),(8450,1),(8469,1)}
7237:{1,2,3,6}:{(6638,1),(6685,1),(6715,1),(6734,1),(7630,1),(7632,1),(7675,1),(7695,1),(8443,1),(8874,1),(8984,1)}
7238:{1,2,3,6,7}:{(6645,1),(6686,1),(6716,1),(7630,1),(7633,1),(7669,1),(7676,1),(7697,1),(7698,1),(8270,1),(8358,1),(8403,1),(8817,1),(8866,1),(8869,1),(8917,1),(8984,1),(9030,1)}
7239:{1,2,3,5,7}:{(6640,1),(6687,1),(6717,1),(6735,1),(6742,1),(7565,1),(7621,1),(7634,1),(7677,1),(7696,1),(8276,1),(8360,1),(8436,1),(8458,1),(8859,1),(9002,1)}
7240:{1,2,5,7}:{(6641,1),(6688,1),(6736,1),(6745,1),(7611,1),(7691,1),(7695,1)}
7241:{1,2,3,6,7}:{(6646,1),(6690,1),(6719,1),(6738,1),(6742,1),(7568,1),(7573,1),(7669,1),(7689,1),(8270,1),(8358,1),(8360,1),(8888,1),(9002,1)}
7242:{1,2,3,7}:{(6647,1),(6689,1),(6720,1),(6740,1),(7579,1)}
7243:{1,2,3}:{(6648,1),(6691,1),(6721,1),(7488,1),(7489,1),(7532,1),(7535,1),(8410,1)}
7244:{1,2,4,6,7}:{(6649,1),(6692,1),(6739,1),(6743,1),(6745,1),(7574,1),(7581,1),(7583,1),(7646,1),(7675,1),(7690,1),(7695,1),(8284,1),(8301,1),(8381,1),(8394,1),(8448,1),(8831,1),(8866,1),(8984,1),(9531,1)}
7245:{1,4,7}:{(6650,1),(6741,1),(6744,1),(7577,1),(7691,1)}
7246:{3,4,6}:{(6748,1),(6750,1),(7593,1),(7600,1),(7619,1),(7704,1),(8214,1),(8945,1)}
7247:{2,3,5,6}:{(6747,1),(6751,1),(7594,1),(8422,1),(8440,1),(8945,1),(9347,1)}
7248:{3,6}:{(6746,1),(6749,1),(7703,1)}
7249:{1,5,7}:{(6749,1),(6752,1),(6756,1),(7703,1)}
7250:{1,4,5,7}:{(6750,1),(6754,1),(6755,1),(7648,1),(7659,1),(7680,1),(7704,1),(8307,1),(8932,1)}
7251:{1,2,3,5,7}:{(6751,1),(6753,1),(6757,1),(7650,1),(7705,1),(8455,1),(8466,1),(8932,1),(9390,1)}
7252:{3,5}:{(6767,1),(6783,1),(7711,1)}
7253:{3,5,6}:{(6765,1),(6784,1),(6923,1),(7717,1),(7727,1),(7764,1),(8529,1)}
7254:{3,5,6}:{(6760,1),(6788,1),(6922,1),(7722,1),(7765,1),(8032,1)}
7255:{2,3,5,6}:{(6768,1),(6782,1),(6858,1),(6925,1),(7707,1),(7726,1),(7759,1),(7882,1),(9168,1)}
7256:{2,3,5}:{(6759,1),(6785,1),(6859,1),(7706,1),(8032,1),(8609,1)}
7257:{3,5}:{(6761,1),(6775,1),(7720,1)}
7258:{2,3,5}:{(6763,1),(6789,1),(6859,1),(7714,1),(8041,1),(8630,1)}
7259:{3,5,6}:{(6771,1),(6780,1),(6922,1),(7718,1),(7731,1),(7757,1),(9170,1),(9405,1)}
7260:{2,3,5}:{(6772,1),(6786,1),(6860,1),(7716,1)}
7261:{3,5}:{(6773,1),(6781,1),(7715,1)}
7262:{2,3,5}:{(6766,1),(6787,1),(6860,1),(7710,1),(8032,1),(8041,1),(8753,1)}
7263:{3,5,6}:{(6762,1),(6776,1),(6923,1),(7721,1),(7732,1),(7754,1),(8032,1),(9506,1)}
7264:{2,3,5,6}:{(6758,1),(6774,1),(6861,1),(6925,1),(7719,1),(7736,1),(7762,1),(7882,1),(8586,1)}
7265:{2,3,5,6}:{(6769,1),(6779,1),(6858,1),(6924,1),(7712,1),(7735,1),(7763,1),(7885,1),(8533,1),(8587,1),(9176,1),(9509,1)}
7266:{2,3,5,6}:{(6770,1),(6778,1),(6861,1),(6924,1),(7709,1),(7723,1),(7761,1),(7885,1),(8539,1)}
7267:{3,5}:{(6764,1),(6777,1)}
7268:{3,4,7}:{(6767,1),(6797,1),(6940,1),(7737,1),(7807,1)}
7269:{3,4,6,7}:{(6760,1),(6791,1),(6939,1),(6949,1),(7722,1),(7783,1),(7808,1),(7879,1)}
7270:{3,6,7}:{(6765,1),(6798,1),(6947,1),(7727,1),(7778,1)}
7271:{3,7}:{(6761,1),(6803,1)}
7272:{2,3,4,6,7}:{(6759,1),(6800,1),(6874,1),(6941,1),(6946,1),(7728,1),(7806,1),(7847,1),(7881,1),(8036,1),(8058,1),(8482,1),(8509,1),(8610,1),(8622,1),(8634,1),(8750,1)}
7273:{2,3,4,7}:{(6768,1),(6790,1),(6877,1),(6938,1),(7726,1),(7776,1),(7809,1),(7849,1),(8495,1),(9117,1)}
7274:{2,3,4,7}:{(6770,1),(6793,1),(6876,1),(6940,1),(7723,1),(7772,1),(7807,1),(7846,1),(8674,1)}
7275:{2,3,7}:{(6769,1),(6799,1),(6877,1),(7779,1)}
7276:{2,3,4,6,7}:{(6766,1),(6795,1),(6875,1),(6939,1),(6946,1),(7733,1),(7808,1),(7848,1),(7881,1),(8036,1),(8040,1),(8058,1),(8481,1),(8496,1),(8597,1),(8612,1),(8634,1),(8728,1),(8750,1),(8752,1),(8755,1),(8765,1),(9086,1),(9107,1),(9160,1),(9163,1),(9180,1),(9470,1)}
7277:{3,4,7}:{(6764,1),(6804,1),(6938,1),(7730,1),(8040,1)}
7278:{3,6,7}:{(6771,1),(6802,1),(6947,1),(7731,1),(7781,1),(9405,1)}
7279:{2,3,7}:{(6758,1),(6801,1),(6876,1),(7780,1)}
7280:{2,3,6,7}:{(6763,1),(6792,1),(6874,1),(6948,1),(7724,1),(7847,1),(7878,1),(8040,1),(8610,1),(8752,1),(9107,1),(9162,1)}
7281:{3,4,6,7}:{(6762,1),(6805,1),(6941,1),(6949,1),(7732,1),(7775,1),(7806,1),(7879,1),(8483,1),(8677,1),(9080,1),(9465,1)}
7282:{3,7}:{(6773,1),(6794,1)}
7283:{2,3,6,7}:{(6772,1),(6796,1),(6875,1),(6948,1),(7725,1),(7848,1),(7878,1),(8612,1),(9107,1)}
7284:{2,4,5,7}:{(6774,1),(6801,1),(6961,1),(7021,1),(7736,1),(7738,1),(7790,1),(7835,1),(8574,1)}
7285:{4,5,7}:{(6788,1),(6791,1),(7020,1),(7722,1),(8026,1)}
7286:{1,4,5,7}:{(6775,1),(6803,1),(6880,1),(7018,1),(7729,1),(7748,1),(7792,1),(7976,1),(8517,1),(8575,1),(9072,1),(9445,1)}
7287:{1,2,5,7}:{(6786,1),(6796,1),(6878,1),(6958,1),(7725,1),(7745,1),(7837,1),(9043,1)}
7288:{1,5,7}:{(6783,1),(6797,1),(6881,1),(7737,1),(7751,1)}
7289:{5,7}:{(6784,1),(6798,1)}
7290:{2,5,7}:{(6778,1),(6793,1),(6961,1),(7741,1)}
7291:{1,2,5,7}:{(6785,1),(6800,1),(6878,1),(6960,1),(7728,1),(7747,1),(7836,1),(8026,1),(8686,1),(8771,1),(9043,1)}
7292:{1,2,4,5,7}:{(6789,1),(6792,1),(6879,1),(6960,1),(7018,1),(7724,1),(7744,1),(7792,1),(7836,1),(7974,1),(8067,1),(8087,1),(8507,1),(8525,1),(8696,1),(8699,1),(8750,1),(9190,1)}
7293:{2,4,5,7}:{(6782,1),(6790,1),(6959,1),(7020,1),(7726,1),(7739,1),(7793,1),(7834,1),(8495,1),(9052,1)}
7294:{5,7}:{(6776,1),(6805,1)}
7295:{2,5,7}:{(6779,1),(6799,1),(6959,1),(7749,1)}
7296:{1,4,5,7}:{(6777,1),(6804,1),(6880,1),(7019,1),(7730,1),(7743,1),(7791,1),(7976,1)}
7297:{4,5,7}:{(6780,1),(6802,1),(7021,1),(7731,1),(7790,1)}
7298:{1,5,7}:{(6781,1),(6794,1),(6881,1),(7734,1),(7746,1)}
7299:{1,2,4,5,7}:{(6787,1),(6795,1),(6879,1),(6958,1),(7019,1),(7733,1),(7742,1),(7791,1),(7837,1),(7974,1),(8026,1),(8067,1),(8087,1),(8496,1),(8519,1),(8585,1),(8686,1),(8701,1),(8750,1),(8757,1),(8769,1),(8771,1),(9043,1),(9067,1),(9139,1),(9154,1),(9192,1),(9434,1)}
7300:{1,3,6}:{(6761,1),(6817,1),(7055,1),(7766,1),(7773,1)}
7301:{1,4,6}:{(6760,1),(6807,1),(7072,1),(7765,1),(8106,1)}
7302:{1,3,4,6}:{(6767,1),(6809,1),(7054,1),(7071,1),(7768,1),(7774,1),(7924,1),(7956,1),(8527,1),(8567,1),(9076,1)}
7303:{1,6}:{(6765,1),(6814,1)}
7304:{1,2,4,6}:{(6770,1),(6813,1),(7013,1),(7071,1),(7761,1),(7772,1),(7924,1),(7983,1),(9124,1),(9469,1)}
7305:{1,2,3,4,6}:{(6759,1),(6812,1),(7010,1),(7057,1),(7073,1),(7756,1),(7923,1),(7954,1),(7982,1),(8075,1),(8110,1),(8537,1),(8550,1),(8683,1),(8716,1),(8734,1),(8773,1),(9127,1)}
7306:{1,2,3,6}:{(6763,1),(6819,1),(7010,1),(7056,1),(7760,1),(7957,1),(7982,1)}
7307:{1,2,4,6}:{(6768,1),(6811,1),(7012,1),(7070,1),(7759,1),(7776,1),(7925,1),(7985,1),(9138,1)}
7308:{1,2,6}:{(6769,1),(6815,1),(7012,1),(7779,1)}
7309:{1,4,6}:{(6762,1),(6816,1),(7073,1),(7754,1),(8106,1)}
7310:{1,2,6}:{(6758,1),(6810,1),(7013,1),(7780,1)}
7311:{1,3,6}:{(6773,1),(6820,1),(7054,1),(7755,1),(7782,1),(7956,1)}
7312:{1,2,3,4,6}:{(6766,1),(6818,1),(7011,1),(7056,1),(7072,1),(7758,1),(7922,1),(7957,1),(7984,1),(8075,1),(8110,1),(8534,1),(8556,1),(8682,1),(8717,1),(8735,1),(8773,1),(9135,1)}
7313:{1,6}:{(6771,1),(6806,1)}
7314:{1,2,3,6}:{(6772,1),(6808,1),(7011,1),(7057,1),(7769,1),(7954,1),(7984,1)}
7315:{1,3,4,6}:{(6764,1),(6821,1),(7055,1),(7070,1),(7767,1),(7771,1),(7925,1),(7955,1),(8526,1),(8559,1),(9131,1)}
7316:{4,5,7}:{(6824,1),(6827,1),(6851,1),(7789,1),(7790,1),(7835,1)}
7317:{4,5,7}:{(6825,1),(6829,1),(6852,1),(7787,1),(7792,1),(7836,1),(8575,1)}
7318:{4,5,7}:{(6822,1),(6826,1),(6850,1),(7786,1),(7834,1)}
7319:{4,5,7}:{(6823,1),(6828,1),(6853,1),(7788,1),(7837,1)}
7320:{4,6}:{(6916,1),(7101,1),(7790,1)}
7321:{4,5,6}:{(6917,1),(7100,1),(7101,1),(7793,1),(8028,1),(8030,1),(8603,1),(8751,1)}
7322:{4}:{(6915,1)}
7323:{4,5}:{(6914,1),(7100,1)}
7324:{4,7}:{(6830,1),(6931,1)}
7325:{4,5,7}:{(6833,1),(6933,1),(7104,1),(7795,1),(8026,1)}
7326:{4,5,7}:{(6831,1),(6932,1),(7104,1),(7797,1),(8026,1)}
7327:{4,7}:{(6832,1),(6930,1),(7796,1)}
7328:{3,4,7}:{(6829,1),(6839,1),(6854,1),(7806,1),(7847,1),(7908,1)}
7329:{3,4,7}:{(6826,1),(6838,1),(6855,1),(7849,1),(7907,1)}
7330:{3,4,7}:{(6827,1),(6840,1),(6857,1),(7807,1),(7846,1),(7906,1)}
7331:{3,4,7}:{(6828,1),(6841,1),(6856,1),(7848,1),(7909,1)}
7332:{3,4,5,6}:{(6824,1),(6840,1),(6861,1),(7111,1),(7709,1),(7719,1),(7799,1),(7829,1),(7851,1),(7911,1),(8034,1),(8539,1),(8586,1),(8605,1),(9137,1),(9156,1),(9507,1)}
7333:{3,4,5}:{(6823,1),(6841,1),(6860,1),(7716,1),(7853,1),(7912,1),(8537,1)}
7334:{3,4,5,6}:{(6822,1),(6838,1),(6858,1),(7111,1),(7712,1),(7798,1),(7826,1),(7852,1),(7910,1),(8034,1),(8533,1),(8587,1),(8603,1),(9131,1),(9157,1),(9176,1)}
7335:{3,4,5}:{(6825,1),(6839,1),(6859,1),(7706,1),(7714,1),(7850,1),(7913,1)}
7336:{4,7}:{(6845,1),(6892,1)}
7337:{3,4,7}:{(6843,1),(6890,1),(7098,1),(7915,1),(8040,1)}
7338:{4,7}:{(6844,1),(6891,1)}
7339:{3,4,7}:{(6842,1),(6893,1),(7098,1),(7916,1),(8040,1)}
7340:{4,5}:{(6844,1),(6895,1),(7716,1)}
7341:{3,4,5}:{(6842,1),(6897,1),(7099,1),(7720,1),(7860,1),(7921,1),(8041,1),(8756,1)}
7342:{3,4,5}:{(6843,1),(6894,1),(7099,1),(7714,1),(7920,1),(8041,1)}
7343:{4,5}:{(6845,1),(6896,1),(7715,1),(7859,1)}
7344:{4,6}:{(6847,1),(6920,1),(7706,1),(7806,1)}
7345:{3,4,6}:{(6849,1),(6918,1),(7100,1),(7708,1),(7809,1),(7925,1),(8603,1),(8756,1)}
7346:{3,4,6}:{(6846,1),(6921,1),(7100,1),(7710,1),(7808,1),(7922,1)}
7347:{4,6}:{(6848,1),(6919,1),(7711,1),(7807,1)}
7348:{4,5}:{(6847,1),(6923,1),(7717,1),(7869,1)}
7349:{3,4,5}:{(6846,1),(6922,1),(7101,1),(7718,1),(7867,1),(7926,1),(8043,1),(8768,1),(9170,1)}
7350:{3,4,5}:{(6849,1),(6925,1),(7101,1),(7719,1),(7928,1),(8043,1)}
7351:{4,5}:{(6848,1),(6924,1),(7712,1)}
7352:{3,4,7}:{(6846,1),(6936,1),(7103,1),(7817,1),(7933,1),(8768,1),(9140,1)}
7353:{4,7}:{(6848,1),(6937,1),(7815,1)}
7354:{4,7}:{(6847,1),(6935,1),(7816,1)}
7355:{3,4,7}:{(6849,1),(6934,1),(7103,1),(7814,1),(7932,1),(8756,1)}
7356:{3,4,5,6}:{(6831,1),(6927,1),(7115,1),(7116,1),(7721,1),(7821,1),(7896,1),(7936,1),(8032,1),(8035,1),(8535,1),(8579,1),(8751,1),(9142,1),(9184,1)}
7357:{3,4,5}:{(6833,1),(6929,1),(7115,1),(7706,1),(7934,1),(8032,1),(9139,1)}
7358:{3,4,6}:{(6830,1),(6926,1),(7116,1),(7717,1),(7820,1),(7894,1),(7937,1),(8529,1)}
7359:{3,4}:{(6832,1),(6928,1),(7716,1),(7935,1)}
7360:{3,5,6}:{(6853,1),(6864,1),(6954,1),(7788,1)}
7361:{3,5,6}:{(6852,1),(6863,1),(6957,1),(7787,1)}
7362:{3,5,6,7}:{(6850,1),(6865,1),(6955,1),(7117,1),(7786,1),(7822,1),(7938,1)}
7363:{3,5,6,7}:{(6851,1),(6862,1),(6956,1),(7117,1),(7789,1),(7823,1),(7939,1)}
7364:{3,5,7}:{(6861,1),(6876,1),(6961,1),(7823,1),(7943,1)}
7365:{3,5,7}:{(6859,1),(6874,1),(6960,1),(7825,1),(8580,1),(9143,1)}
7366:{3,5,7}:{(6860,1),(6875,1),(6958,1),(7824,1),(8580,1)}
7367:{3,5,7}:{(6858,1),(6877,1),(6959,1),(7822,1),(7942,1)}
7368:{3,6,7}:{(6855,1),(6869,1),(6962,1),(8040,1)}
7369:{3,6,7}:{(6857,1),(6867,1),(6963,1)}
7370:{3,5,6,7}:{(6854,1),(6866,1),(6965,1),(7121,1),(7825,1),(7833,1),(8037,1)}
7371:{3,5,6,7}:{(6856,1),(6868,1),(6964,1),(7121,1),(7824,1),(7831,1),(8037,1),(8040,1),(8595,1),(8673,1),(8752,1),(9146,1)}
7372:{3,4,6}:{(6866,1),(6872,1),(6966,1),(7816,1),(7828,1),(7890,1)}
7373:{3,4,6}:{(6868,1),(6873,1),(6967,1),(7827,1),(7893,1),(8537,1)}
7374:{3,4,6}:{(6869,1),(6871,1),(6969,1),(7826,1),(7891,1),(8533,1),(8603,1),(8754,1)}
7375:{3,4,6}:{(6867,1),(6870,1),(6968,1),(7815,1),(7829,1),(7892,1),(8487,1),(8605,1),(9405,1)}
7376:{2,5,6}:{(6878,1),(7094,1),(7129,1),(9043,1)}
7377:{6}:{(6881,1)}
7378:{2,4,5,6}:{(6879,1),(7094,1),(7128,1),(7129,1),(7845,1),(8029,1),(8045,1)}
7379:{4,6}:{(6880,1),(7128,1),(7842,1)}
7380:{2,5}:{(6823,1),(6886,1)}
7381:{2,5,6}:{(6824,1),(6889,1),(7132,1),(7835,1),(7839,1),(8046,1)}
7382:{2,5,6}:{(6822,1),(6888,1),(7132,1),(7834,1),(8046,1)}
7383:{2,5}:{(6825,1),(6887,1),(7841,1)}
7384:{2,4,7}:{(6826,1),(6888,1),(7131,1),(7834,1),(7849,1)}
7385:{2,4,7}:{(6828,1),(6886,1),(7131,1),(7837,1),(7848,1)}
7386:{2,7}:{(6827,1),(6889,1)}
7387:{2,7}:{(6829,1),(6887,1)}
7388:{3,5,7}:{(6881,1),(6896,1),(6911,1),(7802,1),(7843,1),(7977,1)}
7389:{3,5,7}:{(6880,1),(6897,1),(6913,1),(7842,1),(7976,1)}
7390:{2,3,5,7}:{(6879,1),(6894,1),(6910,1),(7107,1),(7803,1),(7845,1),(7974,1),(8580,1),(9056,1)}
7391:{2,3,5,7}:{(6878,1),(6895,1),(6912,1),(7107,1),(7804,1),(7844,1),(7975,1),(8580,1),(8673,1),(9043,1),(9456,1)}
7392:{2,3,5,6,7}:{(6835,1),(6882,1),(6890,1),(6898,1),(7142,1),(7845,1),(7848,1),(7854,1),(7981,1),(8051,1),(8503,1),(8612,1),(9044,1),(9057,1)}
7393:{2,3,6,7}:{(6836,1),(6884,1),(6892,1),(6899,1),(7843,1),(7846,1),(7857,1),(7979,1)}
7394:{2,3,6,7}:{(6834,1),(6883,1),(6893,1),(6901,1),(7842,1),(7849,1),(7980,1)}
7395:{2,3,5,6,7}:{(6837,1),(6885,1),(6891,1),(6900,1),(7142,1),(7844,1),(7847,1),(7855,1),(7978,1),(8051,1),(8506,1),(8610,1),(8728,1),(9053,1),(9111,1),(9457,1)}
7396:{2,3,6}:{(6840,1),(6889,1),(6905,1),(7846,1),(7863,1),(7983,1)}
7397:{2,3,6}:{(6838,1),(6888,1),(6904,1),(7849,1),(7985,1)}
7398:{2,3,6}:{(6841,1),(6886,1),(6903,1),(7848,1),(7853,1),(7984,1)}
7399:{2,3,6}:{(6839,1),(6887,1),(6902,1),(7847,1),(7850,1),(7864,1),(7982,1)}
7400:{2,3,4,6}:{(6843,1),(6898,1),(6908,1),(7133,1),(7817,1),(7858,1),(7987,1),(8057,1),(9155,1)}
7401:{2,4,6}:{(6845,1),(6899,1),(6909,1),(7815,1),(7859,1)}
7402:{2,3,4,6}:{(6842,1),(6901,1),(6907,1),(7133,1),(7814,1),(7860,1),(7989,1),(8057,1),(8756,1)}
7403:{2,4,6}:{(6844,1),(6900,1),(6906,1),(7816,1),(7861,1),(9128,1)}
7404:{2,3,4}:{(6849,1),(6904,1),(7136,1),(7990,1),(8059,1)}
7405:{2,4}:{(6848,1),(6905,1)}
7406:{2,4}:{(6847,1),(6902,1),(7869,1)}
7407:{2,3,4}:{(6846,1),(6903,1),(7136,1),(7867,1),(7992,1),(8059,1),(8768,1)}
7408:{2,3,5,7}:{(6853,1),(6914,1),(6942,1),(7019,1),(7730,1),(7791,1),(7837,1),(7876,1),(8026,1),(8583,1),(8757,1)}
7409:{2,3,5,7}:{(6850,1),(6917,1),(6944,1),(7020,1),(7722,1),(7793,1),(7834,1),(7995,1),(8026,1),(8583,1),(8595,1),(8757,1),(9052,1),(9401,1)}
7410:{2,3,5,7}:{(6852,1),(6915,1),(6943,1),(7018,1),(7729,1),(7792,1),(7836,1),(7874,1),(8500,1),(9045,1)}
7411:{2,3,5,7}:{(6851,1),(6916,1),(6945,1),(7021,1),(7731,1),(7790,1),(7835,1),(7994,1),(8502,1),(8594,1)}
7412:{2,3,5,7}:{(6856,1),(6921,1),(6939,1),(7024,1),(7722,1),(7808,1),(7848,1),(8040,1),(8595,1),(8765,1)}
7413:{2,3,5,7}:{(6854,1),(6920,1),(6941,1),(7023,1),(7732,1),(7806,1),(7847,1),(8506,1)}
7414:{2,3,5,7}:{(6855,1),(6918,1),(6938,1),(7025,1),(7730,1),(7809,1),(7849,1),(7888,1),(8040,1),(8583,1),(8595,1),(8765,1),(9117,1),(9494,1)}
7415:{2,3,5,7}:{(6857,1),(6919,1),(6940,1),(7022,1),(7737,1),(7807,1),(7846,1),(7889,1),(8501,1),(8584,1)}
7416:{3,5,7}:{(6926,1),(6947,1),(7027,1),(7820,1),(7880,1),(8005,1)}
7417:{2,3,5,7}:{(6928,1),(6948,1),(7028,1),(7118,1),(7819,1),(7878,1),(8580,1),(8673,1),(9107,1),(9456,1)}
7418:{3,5,7}:{(6927,1),(6949,1),(7029,1),(7879,1),(8004,1)}
7419:{2,3,5,7}:{(6929,1),(6946,1),(7026,1),(7118,1),(7818,1),(7881,1),(8673,1)}
7420:{2,3,5,7}:{(6925,1),(6952,1),(7032,1),(7119,1),(7810,1),(7882,1),(8006,1),(9168,1),(9406,1)}
7421:{3,5,7}:{(6922,1),(6950,1),(7033,1),(7883,1),(8007,1),(8032,1),(9170,1)}
7422:{3,5,7}:{(6923,1),(6953,1),(7030,1),(7812,1),(7884,1),(8008,1),(8032,1)}
7423:{2,3,5,7}:{(6924,1),(6951,1),(7031,1),(7119,1),(7811,1),(7885,1),(8009,1),(8680,1)}
7424:{2,3,6}:{(6864,1),(6933,1),(7017,1),(7795,1)}
7425:{2,3,6,7}:{(6862,1),(6931,1),(7015,1),(7151,1),(7794,1),(7880,1),(8016,1)}
7426:{2,3,6,7}:{(6865,1),(6932,1),(7014,1),(7151,1),(7797,1),(7879,1),(8014,1)}
7427:{2,3,6}:{(6863,1),(6930,1),(7016,1),(7796,1)}
7428:{2,3,6}:{(6867,1),(6937,1),(7036,1),(7815,1)}
7429:{2,3,5,6}:{(6868,1),(6936,1),(7034,1),(7154,1),(7817,1),(7883,1),(7893,1),(8032,1),(8054,1),(8057,1),(8606,1),(8620,1),(8730,1),(8753,1),(8754,1),(9178,1),(9505,1)}
7430:{2,3,5,6}:{(6866,1),(6935,1),(7035,1),(7154,1),(7816,1),(7884,1),(7890,1),(8032,1),(8054,1),(8609,1),(8618,1)}
7431:{2,3,6}:{(6869,1),(6934,1),(7037,1),(7814,1),(8754,1)}
7432:{2,3,5,7}:{(6871,1),(6904,1),(7038,1),(7157,1),(7849,1),(7873,1),(7891,1),(8056,1),(8059,1),(8608,1),(8633,1),(8740,1),(8765,1),(9117,1),(9494,1)}
7433:{2,3,5,7}:{(6870,1),(6905,1),(7040,1),(7157,1),(7846,1),(7871,1),(7892,1),(8056,1),(8501,1),(8607,1)}
7434:{2,3,7}:{(6872,1),(6902,1),(7039,1),(7870,1),(7890,1)}
7435:{2,3,7}:{(6873,1),(6903,1),(7041,1),(7893,1),(8059,1)}
7436:{1,4,5,6}:{(6957,1),(6960,1),(7094,1),(7162,1),(7747,1),(7787,1),(7825,1),(8071,1),(8482,1),(8648,1),(8652,1)}
7437:{4,6,7}:{(6955,1),(6959,1),(7163,1),(7749,1),(7822,1)}
7438:{4,6,7}:{(6956,1),(6961,1),(7163,1),(7741,1),(7823,1)}
7439:{1,4,5,6}:{(6954,1),(6958,1),(7094,1),(7162,1),(7745,1),(7788,1),(7824,1),(8071,1),(8479,1),(8647,1),(8652,1),(9067,1)}
7440:{1,4,5}:{(6823,1),(6967,1),(6987,1),(7827,1),(7965,1),(8028,1)}
7441:{1,4,5,6}:{(6824,1),(6968,1),(6986,1),(7166,1),(7829,1),(7901,1),(7904,1),(7962,1),(8605,1)}
7442:{1,4,5}:{(6825,1),(6966,1),(6989,1),(7828,1),(7902,1),(7964,1)}
7443:{1,4,5,6}:{(6822,1),(6969,1),(6988,1),(7166,1),(7826,1),(7899,1),(7963,1),(8028,1),(8577,1),(8587,1),(8603,1),(8643,1),(9069,1),(9157,1),(9205,1),(9444,1),(9502,1)}
7444:{1,4,6,7}:{(6828,1),(6967,1),(7061,1),(7788,1),(7831,1),(7900,1),(7909,1),(8031,1),(8068,1),(8479,1),(8515,1),(8639,1),(8647,1),(8750,1)}
7445:{1,4,6,7}:{(6829,1),(6966,1),(7060,1),(7787,1),(7833,1),(7898,1),(7908,1),(7967,1),(8648,1)}
7446:{1,4,6,7}:{(6826,1),(6969,1),(7059,1),(7786,1),(7832,1),(7899,1),(7907,1),(8031,1),(8068,1),(8486,1),(8514,1),(9148,1),(9200,1),(9444,1)}
7447:{1,4,6,7}:{(6827,1),(6968,1),(7058,1),(7789,1),(7830,1),(7901,1),(7906,1),(7966,1)}
7448:{1,4,5,6,7}:{(6835,1),(6970,1),(6974,1),(7175,1),(7909,1),(7915,1),(7947,1),(7981,1),(8071,1),(8073,1),(8521,1),(8573,1),(8647,1),(8653,1),(8663,1),(8771,1),(9062,1)}
7449:{1,4,5,6,7}:{(6837,1),(6973,1),(6975,1),(7175,1),(7908,1),(7917,1),(7948,1),(7978,1),(8071,1),(8073,1),(8518,1),(8563,1),(8648,1),(8652,1),(8662,1),(8771,1),(9065,1)}
7450:{1,4,6,7}:{(6836,1),(6972,1),(6977,1),(7906,1),(7914,1),(7949,1),(7979,1)}
7451:{1,4,6,7}:{(6834,1),(6971,1),(6976,1),(7907,1),(7916,1),(7946,1),(7980,1)}
7452:{1,4,6}:{(6839,1),(6978,1),(6993,1),(7908,1),(7913,1),(7982,1)}
7453:{1,4,6}:{(6841,1),(6980,1),(6991,1),(7909,1),(7912,1),(7984,1)}
7454:{1,4,6}:{(6838,1),(6979,1),(6990,1),(7907,1),(7985,1)}
7455:{1,4,6}:{(6840,1),(6981,1),(6992,1),(7906,1),(7983,1)}
7456:{1,4,6}:{(6842,1),(6985,1),(7045,1),(7916,1),(7921,1),(7955,1)}
7457:{1,4,6}:{(6845,1),(6982,1),(7044,1),(7914,1),(7919,1),(7956,1)}
7458:{1,4,6}:{(6843,1),(6983,1),(7043,1),(7915,1),(7920,1),(7957,1)}
7459:{1,4,6}:{(6844,1),(6984,1),(7042,1),(7917,1),(7918,1),(7954,1)}
7460:{1,4}:{(6847,1),(7064,1),(7958,1)}
7461:{1,4}:{(6848,1),(7065,1),(7959,1)}
7462:{1,4}:{(6846,1),(7063,1)}
7463:{1,4}:{(6849,1),(7062,1)}
7464:{1,5,7}:{(6850,1),(6988,1),(7009,1),(8026,1)}
7465:{1,3,5,7}:{(6853,1),(6987,1),(7007,1),(7172,1),(7900,1),(7940,1),(8026,1),(8037,1),(8580,1),(8583,1),(8771,1)}
7466:{1,5,7}:{(6851,1),(6986,1),(7006,1)}
7467:{1,3,5,7}:{(6852,1),(6989,1),(7008,1),(7172,1),(7898,1),(7941,1),(8037,1)}
7468:{1,3,5,7}:{(6854,1),(6973,1),(6993,1),(7003,1),(7908,1)}
7469:{1,3,5,7}:{(6856,1),(6970,1),(6991,1),(7002,1),(7909,1)}
7470:{1,3,5,7}:{(6855,1),(6971,1),(6990,1),(7004,1),(7907,1),(7942,1),(7946,1)}
7471:{1,3,5,7}:{(6857,1),(6972,1),(6992,1),(7005,1),(7906,1),(7943,1),(7949,1)}
7472:{1,3,5}:{(6859,1),(7010,1),(7173,1),(7913,1)}
7473:{1,3,5}:{(6860,1),(7011,1),(7173,1),(7912,1)}
7474:{1,5,6}:{(6858,1),(7012,1),(7186,1),(7942,1),(8079,1)}
7475:{1,5,6}:{(6861,1),(7013,1),(7186,1),(7943,1),(8079,1)}
7476:{1,3,6}:{(6869,1),(6976,1),(6997,1),(8079,1)}
7477:{1,3,5,6}:{(6868,1),(6974,1),(6995,1),(7189,1),(7953,1),(7957,1),(8080,1),(9178,1)}
7478:{1,3,6}:{(6867,1),(6977,1),(6996,1),(7956,1),(8079,1)}
7479:{1,3,5,6}:{(6866,1),(6975,1),(6994,1),(7189,1),(7951,1),(7954,1),(8080,1),(8535,1)}
7480:{1,3,4,6}:{(6863,1),(6999,1),(7177,1),(7787,1),(7796,1),(7941,1),(8015,1),(8039,1),(8078,1),(8489,1),(8561,1),(8641,1),(8648,1),(8660,1),(8752,1)}
7481:{1,4,6,7}:{(6865,1),(7001,1),(7191,1),(7786,1),(7797,1),(7938,1),(8014,1)}
7482:{1,4,6,7}:{(6862,1),(7000,1),(7191,1),(7789,1),(7794,1),(7939,1),(8016,1)}
7483:{1,3,4,6}:{(6864,1),(6998,1),(7177,1),(7788,1),(7795,1),(7940,1),(8017,1),(8039,1),(8078,1),(8493,1),(8559,1),(8639,1),(8647,1),(8661,1),(8752,1)}
7484:{1,3,4,7}:{(6873,1),(6980,1),(6995,1),(7909,1),(7933,1),(7953,1),(7960,1),(8018,1),(9417,1)}
7485:{1,3,4,5,7}:{(6870,1),(6981,1),(6996,1),(7194,1),(7906,1),(7930,1),(7950,1),(7959,1),(8020,1),(8074,1),(8082,1),(8516,1),(8532,1),(8644,1),(8668,1),(8674,1),(8680,1),(8782,1),(9201,1),(9206,1),(9234,1),(9483,1)}
7486:{1,3,4,5,7}:{(6871,1),(6979,1),(6997,1),(7194,1),(7907,1),(7932,1),(7952,1),(7961,1),(8019,1),(8074,1),(8082,1),(8512,1),(8538,1),(8643,1),(8666,1),(8676,1),(8678,1),(8782,1),(9200,1),(9205,1),(9494,1)}
7487:{1,3,4,7}:{(6872,1),(6978,1),(6994,1),(7908,1),(7931,1),(7951,1),(7958,1),(8021,1),(8677,1)}
7488:{1,3}:{(6983,1),(7124,1)}
7489:{3}:{(6984,1)}
7490:{3}:{(6982,1)}
7491:{1,3}:{(6985,1),(7124,1)}
7492:{1,4,7}:{(6877,1),(7004,1),(7012,1),(7779,1),(7942,1)}
7493:{1,4,7}:{(6876,1),(7005,1),(7013,1),(7780,1),(7943,1)}
7494:{1,3,4,6,7}:{(6874,1),(7003,1),(7010,1),(7182,1),(7198,1),(7784,1),(7908,1),(7944,1),(8078,1),(8525,1),(8648,1),(8660,1),(9075,1)}
7495:{1,3,4,6,7}:{(6875,1),(7002,1),(7011,1),(7182,1),(7198,1),(7777,1),(7909,1),(7945,1),(8078,1),(8515,1),(8647,1),(8660,1),(9086,1)}
7496:{1,2,5,6}:{(6954,1),(7017,1),(7019,1),(7128,1),(7743,1),(7876,1),(9069,1),(9106,1)}
7497:{2,5,6,7}:{(6956,1),(7015,1),(7021,1),(7200,1),(7738,1),(7752,1),(9047,1)}
7498:{1,2,5,6}:{(6957,1),(7016,1),(7018,1),(7128,1),(7748,1),(7874,1),(9072,1),(9096,1)}
7499:{2,5,6,7}:{(6955,1),(7014,1),(7020,1),(7200,1),(7739,1),(7750,1),(9052,1)}
7500:{4,6,7}:{(7014,1),(7029,1),(7201,1),(7753,1),(7879,1)}
7501:{1,2,4,6}:{(7016,1),(7028,1),(7129,1),(7162,1),(7745,1),(7796,1),(7878,1),(8098,1),(8479,1),(8652,1),(8660,1)}
7502:{4,6,7}:{(7015,1),(7027,1),(7201,1),(7740,1),(7880,1)}
7503:{1,2,4,6}:{(7017,1),(7026,1),(7129,1),(7162,1),(7747,1),(7795,1),(7881,1),(8098,1),(8482,1),(8652,1),(8661,1)}
7504:{5,6}:{(7030,1),(7201,1)}
7505:{4,5,6}:{(7033,1),(7200,1),(7201,1),(7883,1),(8027,1),(8030,1)}
7506:{2,4,6}:{(7032,1),(7163,1),(7200,1),(7882,1),(8030,1),(8046,1)}
7507:{2,6}:{(7031,1),(7163,1)}
7508:{1,2,4,6,7}:{(6883,1),(6962,1),(7025,1),(7037,1),(7202,1),(7739,1),(7743,1),(7888,1),(7980,1),(8031,1),(8558,1),(8599,1),(8640,1),(8664,1),(9106,1),(9444,1)}
7509:{1,2,5,6,7}:{(6885,1),(6965,1),(7023,1),(7035,1),(7203,1),(7747,1),(7753,1),(7887,1),(7967,1),(8026,1),(8087,1),(8563,1),(8771,1)}
7510:{1,2,4,5,6,7}:{(6882,1),(6964,1),(7024,1),(7034,1),(7202,1),(7203,1),(7742,1),(7750,1),(7886,1),(7968,1),(7981,1),(8026,1),(8031,1),(8087,1),(8089,1),(8573,1),(8585,1),(8598,1),(8640,1),(8663,1),(8687,1),(8697,1),(8705,1),(8750,1),(8757,1),(8769,1),(8771,1),(9057,1),(9060,1),(9105,1),(9141,1),(9154,1),(9189,1),(9192,1),(9440,1)}
7511:{1,2,6,7}:{(6884,1),(6963,1),(7022,1),(7036,1),(7741,1),(7751,1),(7889,1)}
7512:{1,2,4,6}:{(6888,1),(6969,1),(7038,1),(7204,1),(7891,1),(7963,1),(7985,1),(8046,1),(8050,1),(8599,1),(8603,1),(8619,1),(8781,1),(9106,1),(9444,1)}
7513:{1,2,6}:{(6887,1),(6966,1),(7039,1),(7890,1),(7964,1)}
7514:{1,2,6}:{(6889,1),(6968,1),(7040,1),(7892,1),(8046,1)}
7515:{1,2,4,6}:{(6886,1),(6967,1),(7041,1),(7204,1),(7893,1),(7965,1),(7984,1),(8050,1),(8556,1),(8602,1)}
7516:{1,2,4,5}:{(6833,1),(7069,1),(7211,1),(7840,1),(7897,1),(7903,1),(7934,1),(8086,1),(9138,1),(9139,1)}
7517:{1,2,4,5,6}:{(6831,1),(7068,1),(7211,1),(7212,1),(7838,1),(7896,1),(7905,1),(7936,1),(7973,1),(8086,1),(8094,1),(8543,1),(8688,1),(8751,1),(9142,1),(9203,1)}
7518:{1,2,4}:{(6832,1),(7066,1),(7841,1),(7895,1),(7902,1),(7935,1)}
7519:{1,2,4,6}:{(6830,1),(7067,1),(7212,1),(7839,1),(7894,1),(7904,1),(7937,1),(7970,1),(8549,1)}
7520:{1,2,5,7}:{(6893,1),(6971,1),(7045,1),(7053,1),(7916,1),(7976,1),(7980,1)}
7521:{1,2,5,7}:{(6890,1),(6970,1),(7043,1),(7050,1),(7915,1)}
7522:{1,2,5,7}:{(6891,1),(6973,1),(7042,1),(7052,1),(7917,1)}
7523:{1,2,5,7}:{(6892,1),(6972,1),(7044,1),(7051,1),(7914,1),(7977,1),(7979,1)}
7524:{1,5}:{(6897,1),(7055,1)}
7525:{1,2,5}:{(6894,1),(7056,1),(7173,1),(7920,1)}
7526:{1,5}:{(6896,1),(7054,1)}
7527:{1,2,5}:{(6895,1),(7057,1),(7173,1),(7918,1)}
7528:{1,2,5,6}:{(6900,1),(6975,1),(7046,1),(7217,1),(7982,1),(7986,1),(8099,1)}
7529:{1,2,5,6}:{(6898,1),(6974,1),(7049,1),(7217,1),(7984,1),(7987,1),(8099,1)}
7530:{1,2,6}:{(6901,1),(6976,1),(7048,1)}
7531:{1,2,6}:{(6899,1),(6977,1),(7047,1)}
7532:{1,2}:{(6903,1),(6980,1)}
7533:{1,2,5}:{(6904,1),(6979,1),(7222,1),(7985,1),(7990,1)}
7534:{1,2,5}:{(6905,1),(6981,1),(7222,1),(7983,1),(7991,1)}
7535:{1,2}:{(6902,1),(6978,1)}
7536:{1,2,4,7}:{(6907,1),(6985,1),(7048,1),(7916,1),(7932,1),(7989,1),(7990,1),(8022,1)}
7537:{1,2,4,7}:{(6906,1),(6984,1),(7046,1),(7917,1),(7931,1),(7986,1),(7993,1),(8025,1)}
7538:{1,2,4,7}:{(6908,1),(6983,1),(7049,1),(7915,1),(7933,1),(7987,1),(7992,1),(8023,1)}
7539:{1,2,4,7}:{(6909,1),(6982,1),(7047,1),(7914,1),(7930,1),(7988,1),(7991,1),(8024,1)}
7540:{1,2,4,6,7}:{(6910,1),(7050,1),(7056,1),(7182,1),(7227,1),(7784,1),(7915,1),(7974,1),(8098,1),(8525,1),(8653,1),(8660,1),(9093,1)}
7541:{1,4,7}:{(6911,1),(7051,1),(7054,1),(7782,1),(7977,1)}
7542:{1,4,7}:{(6913,1),(7053,1),(7055,1),(7773,1),(7976,1)}
7543:{1,2,4,6,7}:{(6912,1),(7052,1),(7057,1),(7182,1),(7227,1),(7777,1),(7917,1),(7975,1),(8098,1),(8515,1),(8652,1),(8660,1),(9097,1)}
7544:{1,2,3,5}:{(6914,1),(6987,1),(7081,1),(7214,1),(7767,1),(7903,1),(7965,1),(8041,1),(8054,1),(8086,1),(8557,1),(8608,1),(8633,1),(8643,1),(8753,1)}
7545:{1,2,3,5}:{(6915,1),(6989,1),(7080,1),(7214,1),(7766,1),(7902,1),(7964,1),(8041,1),(8054,1),(8545,1),(8630,1)}
7546:{1,2,5,6}:{(6916,1),(6986,1),(7078,1),(7230,1),(7757,1),(7904,1),(7994,1),(8549,1)}
7547:{1,2,5,6}:{(6917,1),(6988,1),(7079,1),(7230,1),(7765,1),(7905,1),(7995,1),(8086,1),(8643,1),(9069,1),(9502,1)}
7548:{1,2,3,5,6}:{(6921,1),(6991,1),(7043,1),(7063,1),(7072,1),(7758,1),(7765,1),(7922,1),(7957,1),(7984,1),(7999,1),(8530,1),(8543,1),(8735,1)}
7549:{1,2,3,5,6}:{(6918,1),(6990,1),(7045,1),(7062,1),(7070,1),(7759,1),(7767,1),(7925,1),(7955,1),(7985,1),(8000,1),(8012,1),(8528,1),(8557,1),(8559,1),(8643,1),(8731,1),(8736,1),(9069,1),(9106,1)}
7550:{1,2,3,5,6}:{(6919,1),(6992,1),(7044,1),(7065,1),(7071,1),(7761,1),(7768,1),(7924,1),(7956,1),(7983,1),(8001,1),(8011,1),(8539,1),(8546,1),(8567,1),(8644,1),(8732,1),(8737,1),(9071,1),(9095,1),(9215,1)}
7551:{1,2,3,5,6}:{(6920,1),(6993,1),(7042,1),(7064,1),(7073,1),(7754,1),(7756,1),(7923,1),(7954,1),(7982,1),(7998,1),(8535,1),(8542,1),(8734,1)}
7552:{1,2,5}:{(6925,1),(7082,1),(7186,1),(7928,1),(8643,1)}
7553:{1,5}:{(6923,1),(7084,1)}
7554:{1,5}:{(6922,1),(7083,1)}
7555:{1,2,5}:{(6924,1),(7085,1),(7186,1),(7929,1),(8644,1)}
7556:{1,2,3,5}:{(6929,1),(7086,1),(7187,1),(7215,1),(7934,1)}
7557:{1,2,3,5}:{(6928,1),(7089,1),(7187,1),(7215,1),(7935,1),(9456,1)}
7558:{1,5,6}:{(6926,1),(7088,1),(7232,1),(7937,1),(8005,1),(8106,1)}
7559:{1,5,6}:{(6927,1),(7087,1),(7232,1),(8004,1),(8106,1)}
7560:{1,2,3,5,7}:{(6937,1),(6996,1),(7047,1),(7065,1),(7074,1),(7930,1),(8009,1),(8011,1),(8024,1),(8644,1),(8680,1),(8732,1)}
7561:{1,2,3,5,7}:{(6936,1),(6995,1),(7049,1),(7063,1),(7076,1),(7933,1),(8007,1),(8010,1),(8018,1),(8023,1),(8679,1),(8713,1),(8738,1)}
7562:{1,2,3,5,7}:{(6935,1),(6994,1),(7046,1),(7064,1),(7075,1),(7931,1),(8008,1),(8013,1),(8021,1),(8025,1),(8681,1),(8712,1),(8739,1),(9111,1)}
7563:{1,2,3,5,7}:{(6934,1),(6997,1),(7048,1),(7062,1),(7077,1),(7932,1),(8006,1),(8012,1),(8022,1),(8643,1),(8678,1),(8731,1)}
7564:{1,2,3,5,7}:{(6930,1),(6999,1),(7066,1),(7092,1),(7221,1),(7836,1),(7972,1),(8015,1),(8060,1),(8500,1),(8686,1),(8699,1),(9045,1),(9114,1),(9462,1)}
7565:{1,2,5,7}:{(6932,1),(7001,1),(7068,1),(7090,1),(7834,1),(8004,1),(8014,1)}
7566:{1,2,3,5,7}:{(6933,1),(6998,1),(7069,1),(7091,1),(7221,1),(7837,1),(7971,1),(8017,1),(8060,1),(8494,1),(8701,1),(9118,1),(9455,1)}
7567:{1,2,5,7}:{(6931,1),(7000,1),(7067,1),(7093,1),(7835,1),(7970,1),(8005,1),(8016,1)}
7568:{1,2,3,7}:{(6938,1),(7004,1),(7053,1),(7070,1),(7771,1),(7776,1),(9117,1)}
7569:{1,2,3,6,7}:{(6941,1),(7003,1),(7052,1),(7073,1),(7242,1),(7775,1),(7998,1),(9080,1),(9102,1)}
7570:{1,2,3,6,7}:{(6939,1),(7002,1),(7050,1),(7072,1),(7242,1),(7783,1),(7999,1),(9083,1),(9105,1)}
7571:{1,2,3,7}:{(6940,1),(7005,1),(7051,1),(7071,1),(7772,1),(7774,1),(9121,1)}
7572:{1,2,3,4,6,7}:{(6942,1),(7007,1),(7081,1),(7091,1),(7226,1),(7241,1),(7771,1),(7968,1),(7996,1),(8017,1),(8040,1),(8058,1),(8068,1),(8095,1),(8559,1),(8597,1),(8625,1),(8634,1),(8639,1),(8664,1),(8709,1),(8726,1),(8750,1),(8752,1),(8755,1),(8765,1),(9089,1),(9106,1),(9118,1),(9160,1),(9163,1),(9179,1),(9478,1)}
7573:{1,2,4,6,7}:{(6944,1),(7009,1),(7079,1),(7090,1),(7241,1),(7776,1),(7783,1),(7995,1),(8014,1),(8068,1),(8558,1),(8640,1),(8664,1),(8708,1),(9105,1),(9467,1)}
7574:{1,2,6,7}:{(6945,1),(7006,1),(7078,1),(7093,1),(7780,1),(7781,1),(7994,1)}
7575:{1,2,3,6,7}:{(6943,1),(7008,1),(7080,1),(7092,1),(7226,1),(7773,1),(7967,1),(7997,1),(8015,1),(8040,1),(8058,1),(8561,1),(8752,1)}
7576:{1,2,3,7}:{(6948,1),(7089,1),(7198,1),(7227,1),(9107,1)}
7577:{1,7}:{(6947,1),(7088,1)}
7578:{1,2,3,4,7}:{(6946,1),(7086,1),(7198,1),(7227,1),(7242,1),(8003,1),(8076,1),(8112,1)}
7579:{1,4,7}:{(6949,1),(7087,1),(7242,1),(8004,1)}
7580:{1,4,6,7}:{(6953,1),(7075,1),(7084,1),(7245,1),(7778,1),(7931,1),(8008,1),(8075,1),(8106,1),(8511,1),(8655,1),(9123,1),(9465,1)}
7581:{1,2,4,7}:{(6952,1),(7077,1),(7082,1),(7199,1),(7780,1),(7932,1),(8006,1),(8520,1),(9138,1)}
7582:{1,2,4,7}:{(6951,1),(7074,1),(7085,1),(7199,1),(7779,1),(7930,1),(8009,1),(8514,1),(9124,1)}
7583:{1,4,6,7}:{(6950,1),(7076,1),(7083,1),(7245,1),(7781,1),(7933,1),(8007,1),(8075,1),(8106,1),(8524,1),(8654,1),(9136,1)}
7584:{5}:{(7102,1)}
7585:{4,5,6}:{(7095,1),(7096,1),(7106,1),(7787,1),(7788,1),(8029,1),(8045,1),(8575,1)}
7586:{4,6}:{(7097,1),(7117,1),(8046,1)}
7587:{4,5,7}:{(7098,1),(7099,1),(7138,1),(7792,1),(8029,1),(8575,1),(8750,1),(9139,1)}
7588:{4,7}:{(7100,1),(7148,1)}
7589:{4,5,7}:{(7101,1),(7103,1),(7149,1),(7790,1),(8028,1),(8030,1),(8751,1),(9140,1)}
7590:{4,6}:{(7105,1),(7151,1),(8027,1)}
7591:{4,6,7}:{(7102,1),(7104,1),(7152,1),(7795,1),(8026,1)}
7592:{4,6}:{(7103,1),(7153,1),(8028,1)}
7593:{3,5,6}:{(7094,1),(7107,1),(7246,1),(7248,1),(8071,1),(8580,1)}
7594:{3,4,6}:{(7096,1),(7109,1),(7247,1),(7248,1),(8072,1),(9402,1)}
7595:{3,4,5,7}:{(7095,1),(7107,1),(7108,1),(7112,1),(7804,1),(8033,1),(8037,1),(8051,1),(8073,1),(8580,1),(8585,1),(8673,1),(8750,1),(9173,1),(9180,1),(9486,1)}
7596:{3,4,5,7}:{(7097,1),(7111,1),(7113,1),(7119,1),(7811,1),(8034,1),(8038,1),(8052,1),(8074,1),(8680,1),(8759,1)}
7597:{3,4,6}:{(7102,1),(7114,1),(7154,1),(7816,1),(8032,1),(8075,1)}
7598:{3,4,7}:{(7104,1),(7115,1),(7155,1),(7806,1),(8076,1),(8750,1)}
7599:{3,4,5,7}:{(7105,1),(7114,1),(7116,1),(7150,1),(7812,1),(7820,1),(8032,1),(8035,1),(8064,1),(8077,1),(8578,1),(8681,1),(8751,1),(9140,1),(9184,1),(9417,1)}
7600:{3,6}:{(7118,1),(7162,1)}
7601:{3,6}:{(7119,1),(7163,1),(8079,1)}
7602:{3,5}:{(7125,1),(7164,1)}
7603:{3,4,6,7}:{(7110,1),(7120,1),(7122,1),(7165,1),(7786,1),(7788,1),(8031,1),(8055,1),(8493,1)}
7604:{3,5}:{(7126,1),(7166,1)}
7605:{3,4,5,7}:{(7118,1),(7123,1),(7127,1),(7167,1),(7819,1),(8037,1),(8039,1),(8060,1),(8580,1),(8597,1),(8673,1),(8750,1),(9139,1),(9143,1),(9402,1)}
7606:{3,6}:{(7124,1),(7168,1),(8040,1),(8041,1)}
7607:{3,4,6,7}:{(7121,1),(7125,1),(7127,1),(7169,1),(8037,1),(8039,1),(8040,1),(8058,1),(8597,1),(8750,1),(8752,1)}
7608:{3,4}:{(7124,1),(7170,1),(8043,1),(8059,1)}
7609:{3,4,6,7}:{(7113,1),(7126,1),(7158,1),(7171,1),(7814,1),(7815,1),(8034,1),(8038,1),(8044,1),(8486,1),(8594,1),(8754,1),(9131,1)}
7610:{2,5,7}:{(7095,1),(7130,1),(7135,1),(8026,1),(8045,1),(9043,1)}
7611:{2,5,7}:{(7097,1),(7132,1),(7137,1),(8046,1)}
7612:{2,4,6}:{(7096,1),(7134,1),(7140,1),(7795,1),(7796,1),(8029,1),(8045,1)}
7613:{2,4,6,7}:{(7098,1),(7133,1),(7141,1),(8029,1),(8031,1),(8047,1),(8048,1),(8599,1),(8750,1),(9147,1)}
7614:{2,4,5}:{(7099,1),(7130,1),(7133,1),(7841,1),(7860,1),(8028,1)}
7615:{2,4,6}:{(7100,1),(7136,1),(7143,1),(7840,1),(8048,1),(8602,1),(8603,1)}
7616:{2,4,5}:{(7101,1),(7132,1),(7136,1),(7839,1),(7867,1)}
7617:{2,4,7}:{(7103,1),(7136,1),(7156,1),(8050,1),(8602,1)}
7618:{2,3,5,6}:{(7106,1),(7128,1),(7138,1),(7140,1),(7842,1),(8029,1),(8045,1),(8097,1),(8752,1)}
7619:{2,3,6}:{(7129,1),(7139,1),(7246,1),(7248,1),(8098,1)}
7620:{2,3,5}:{(7108,1),(7130,1),(7145,1),(7861,1),(8032,1),(8099,1),(8609,1)}
7621:{2,3,5,7}:{(7110,1),(7131,1),(7143,1),(7834,1),(7837,1),(7848,1),(7849,1),(8048,1),(8055,1),(8100,1),(8757,1),(8765,1)}
7622:{2,3,5}:{(7111,1),(7132,1),(7147,1),(7866,1),(8101,1),(8607,1)}
7623:{2,3,4,5,7}:{(7109,1),(7134,1),(7139,1),(7144,1),(7146,1),(7803,1),(7804,1),(7818,1),(7819,1),(8051,1),(8053,1),(8060,1),(8102,1),(8496,1),(8507,1),(8509,1),(8580,1),(8673,1),(8750,1),(9043,1),(9056,1),(9107,1),(9112,1),(9139,1),(9180,1),(9402,1),(9418,1),(9456,1),(9486,1)}
7624:{2,3,4,6,7}:{(7112,1),(7135,1),(7142,1),(7145,1),(7146,1),(7847,1),(7848,1),(7855,1),(8036,1),(8051,1),(8053,1),(8058,1),(8103,1),(8496,1),(8509,1),(8610,1),(8612,1),(8622,1),(8728,1),(8750,1),(9107,1),(9180,1)}
7625:{2,3,4,7}:{(7113,1),(7137,1),(7147,1),(7157,1),(7846,1),(7849,1),(7871,1),(8052,1),(8104,1),(8495,1),(9117,1)}
7626:{2,3,5,6}:{(7117,1),(7149,1),(7151,1),(7200,1),(7882,1),(7883,1),(8027,1),(8030,1),(8046,1),(8105,1),(8586,1),(8620,1),(8754,1),(8758,1)}
7627:{3,6}:{(7150,1),(7201,1),(8106,1)}
7628:{2,3,5,6,7}:{(7120,1),(7148,1),(7152,1),(7153,1),(7202,1),(7876,1),(7888,1),(8026,1),(8031,1),(8055,1),(8583,1),(8629,1),(8757,1),(9051,1)}
7629:{2,3,6,7}:{(7121,1),(7154,1),(7155,1),(7203,1),(7879,1),(7881,1),(8036,1),(9080,1)}
7630:{2,3,6}:{(7122,1),(7156,1),(7204,1),(8046,1),(8050,1)}
7631:{2,3,7}:{(7124,1),(7205,1),(8040,1),(8044,1),(8057,1),(8059,1)}
7632:{2,3,6}:{(7125,1),(7160,1),(7206,1),(8054,1),(8630,1)}
7633:{2,3,6}:{(7126,1),(7157,1),(7207,1),(8056,1),(8059,1)}
7634:{2,3,7}:{(7127,1),(7159,1),(7208,1),(8040,1)}
7635:{2,3,5}:{(7123,1),(7159,1),(7209,1),(7895,1),(8041,1),(8630,1)}
7636:{2,3,4,7}:{(7114,1),(7160,1),(7161,1),(7210,1),(7870,1),(8044,1),(8061,1),(8064,1),(9126,1),(9140,1),(9406,1)}
7637:{2,3,4,6}:{(7115,1),(7159,1),(7161,1),(7211,1),(7864,1),(7896,1),(7897,1),(8042,1),(8063,1),(9126,1)}
7638:{2,3,5}:{(7116,1),(7161,1),(7212,1),(7869,1),(7894,1),(8043,1)}
7639:{1,4,5,7}:{(7095,1),(7164,1),(7169,1),(7172,1),(8026,1),(8037,1),(8065,1),(8087,1),(8585,1),(8750,1),(8771,1)}
7640:{1,4,5,7}:{(7097,1),(7166,1),(7171,1),(7184,1),(8028,1),(8038,1),(8066,1),(8088,1),(8574,1),(8643,1),(8759,1),(9066,1),(9205,1)}
7641:{1,4,6}:{(7096,1),(7167,1),(7228,1),(7787,1),(7788,1),(7795,1),(7796,1),(8039,1),(8479,1),(8482,1)}
7642:{1,4,7}:{(7098,1),(7168,1),(7213,1),(8040,1)}
7643:{1,4,5}:{(7099,1),(7168,1),(7214,1),(7902,1),(8041,1)}
7644:{1,4,6}:{(7100,1),(7170,1),(7229,1),(7903,1),(8042,1),(8068,1),(8603,1)}
7645:{1,4,5}:{(7101,1),(7170,1),(7230,1),(7904,1),(8043,1)}
7646:{1,4,7}:{(7103,1),(7170,1),(7233,1),(8044,1),(8070,1),(9140,1)}
7647:{1,5,6}:{(7106,1),(7172,1),(7177,1),(9072,1)}
7648:{1,5,7}:{(7107,1),(7173,1),(7182,1),(8071,1)}
7649:{1,4,5}:{(7108,1),(7173,1),(7179,1),(8080,1),(8099,1),(8773,1)}
7650:{1,4,5,7}:{(7109,1),(7176,1),(7180,1),(7249,1),(7251,1),(8072,1),(9486,1)}
7651:{1,4,5,7}:{(7110,1),(7165,1),(7178,1),(7185,1),(7907,1),(7909,1),(8068,1),(8100,1)}
7652:{1,4,5}:{(7111,1),(7181,1),(7186,1),(8082,1),(8101,1),(8643,1),(8644,1),(8782,1)}
7653:{1,4,6,7}:{(7112,1),(7179,1),(7180,1),(7231,1),(7908,1),(7909,1),(7915,1),(7917,1),(8072,1),(8073,1),(8515,1),(8525,1),(8647,1),(8648,1),(8652,1),(8653,1),(8660,1)}
7654:{1,4,7}:{(7113,1),(7181,1),(7234,1),(8782,1)}
7655:{1,4,7}:{(7114,1),(7183,1),(7236,1),(8075,1),(8773,1)}
7656:{1,4,6}:{(7115,1),(7183,1),(7235,1),(7934,1),(8076,1),(8773,1)}
7657:{1,4,5}:{(7116,1),(7183,1),(7232,1),(7937,1),(8116,1)}
7658:{1,5,6}:{(7117,1),(7184,1),(7191,1),(8027,1),(8079,1)}
7659:{1,3,5,7}:{(7118,1),(7187,1),(7198,1),(7249,1),(7250,1),(8078,1),(8673,1)}
7660:{1,5,7}:{(7119,1),(7186,1),(7199,1),(8079,1)}
7661:{1,3,5,6,7}:{(7120,1),(7174,1),(7185,1),(7188,1),(7192,1),(7938,1),(7940,1),(7946,1),(8026,1),(8037,1),(8040,1),(8559,1),(8573,1),(8581,1),(8672,1),(8752,1),(8771,1)}
7662:{1,3,6,7}:{(7121,1),(7175,1),(7189,1),(7190,1),(8078,1),(9080,1)}
7663:{1,3,4,5,6}:{(7122,1),(7178,1),(7188,1),(7193,1),(7826,1),(7827,1),(7952,1),(7953,1),(8028,1),(8042,1),(8066,1),(8070,1),(8109,1),(8530,1),(8538,1),(8589,1),(8603,1),(8643,1),(8645,1),(8654,1),(8753,1),(8754,1),(9130,1),(9169,1),(9175,1),(9205,1),(9240,1),(9502,1)}
7664:{1,3,4,5}:{(7123,1),(7176,1),(7187,1),(7196,1),(7912,1),(7913,1),(7934,1),(7935,1),(8080,1),(8113,1),(8531,1),(8534,1),(8537,1),(8773,1)}
7665:{1,3,4,6}:{(7125,1),(7179,1),(7189,1),(7197,1),(7954,1),(7957,1),(8075,1),(8080,1),(8110,1),(8534,1),(8537,1),(8683,1),(8773,1)}
7666:{1,3,4,7}:{(7127,1),(7180,1),(7190,1),(7196,1),(7908,1),(7909,1),(8076,1),(8112,1),(8677,1)}
7667:{1,3,4,6}:{(7126,1),(7181,1),(7194,1),(7195,1),(7959,1),(7961,1),(8082,1),(8111,1),(8533,1),(8536,1),(8782,1),(9131,1)}
7668:{1,2,5}:{(7130,1),(7164,1),(7206,1),(8054,1),(8609,1)}
7669:{1,2,6,7}:{(7131,1),(7165,1),(7204,1),(8055,1),(8100,1),(9106,1)}
7670:{1,2,5}:{(7132,1),(7166,1),(7207,1),(8056,1),(8607,1)}
7671:{1,2,4,6}:{(7133,1),(7168,1),(7205,1),(7216,1),(8057,1),(8070,1),(8090,1),(9155,1),(9510,1)}
7672:{1,2,4,6,7}:{(7135,1),(7169,1),(7206,1),(7208,1),(7219,1),(7967,1),(8058,1),(8087,1),(8091,1),(8622,1),(8696,1),(8750,1)}
7673:{1,2,4}:{(7136,1),(7170,1),(7220,1),(8059,1)}
7674:{1,2,4,5,7}:{(7134,1),(7167,1),(7208,1),(7209,1),(7221,1),(7836,1),(7837,1),(7972,1),(8060,1),(8067,1),(8087,1),(8091,1),(8496,1),(8507,1),(8686,1),(8696,1),(8699,1),(8701,1),(8750,1),(9043,1),(9139,1),(9190,1)}
7675:{1,2,4,6}:{(7102,1),(7210,1),(7237,1),(8050,1),(8061,1),(8070,1),(8075,1),(8086,1),(9138,1),(9510,1)}
7676:{1,2,4,6,7}:{(7137,1),(7171,1),(7207,1),(7238,1),(7966,1),(8046,1),(8050,1),(8062,1),(8088,1),(8096,1),(8104,1),(8601,1),(8695,1),(8715,1),(8778,1),(8781,1),(9136,1),(9467,1)}
7677:{1,2,4,7}:{(7104,1),(7211,1),(7239,1),(8048,1),(8063,1),(8068,1),(8076,1),(8750,1)}
7678:{1,2,4,5,7}:{(7105,1),(7210,1),(7212,1),(7240,1),(7970,1),(8049,1),(8064,1),(8069,1),(8077,1),(8086,1),(8094,1),(8689,1),(8713,1),(8751,1),(9140,1),(9203,1),(9443,1)}
7679:{1,2,5,7}:{(7138,1),(7172,1),(7214,1),(7226,1),(7976,1),(8067,1),(8097,1),(8686,1),(9072,1)}
7680:{1,2,5,7}:{(7139,1),(7215,1),(7227,1),(7249,1),(7250,1),(8098,1)}
7681:{1,2,5,6,7}:{(7141,1),(7174,1),(7213,1),(7216,1),(7219,1),(7980,1),(8087,1),(8089,1),(8097,1),(8100,1),(8691,1),(8704,1),(9057,1),(9106,1)}
7682:{1,2,6,7}:{(7142,1),(7175,1),(7217,1),(7218,1),(8098,1)}
7683:{1,2,6}:{(7140,1),(7177,1),(7221,1)}
7684:{1,2,5,6}:{(7143,1),(7178,1),(7204,1),(7220,1),(7965,1),(7984,1),(7985,1),(8092,1),(8100,1),(8557,1),(9106,1)}
7685:{1,2,4,5}:{(7144,1),(7176,1),(7215,1),(7224,1),(7918,1),(7920,1),(7934,1),(7935,1),(8099,1),(8113,1),(8550,1),(8556,1),(8773,1)}
7686:{1,2,4,6}:{(7145,1),(7179,1),(7217,1),(7225,1),(7982,1),(7984,1),(8075,1),(8099,1),(8110,1),(8550,1),(8556,1),(8773,1)}
7687:{1,2,4,7}:{(7146,1),(7180,1),(7218,1),(7224,1),(7915,1),(7917,1),(8076,1),(8112,1)}
7688:{1,2,4,6}:{(7147,1),(7181,1),(7222,1),(7983,1),(7985,1),(7990,1),(7991,1),(8101,1),(8104,1),(8111,1),(8781,1),(8782,1)}
7689:{1,2,3,5,7}:{(7148,1),(7185,1),(7213,1),(7229,1),(7241,1),(7995,1),(8040,1),(8068,1),(8100,1),(8595,1),(8629,1),(8765,1)}
7690:{1,2,5,7}:{(7149,1),(7184,1),(7230,1),(7244,1),(8007,1),(8069,1),(8086,1),(8105,1),(8643,1),(9066,1)}
7691:{1,5,7}:{(7150,1),(7232,1),(7245,1),(8106,1)}
7692:{1,2,3,5,6}:{(7153,1),(7188,1),(7216,1),(7233,1),(7237,1),(8012,1),(8054,1),(8057,1),(8070,1),(8086,1),(8105,1),(8643,1),(8731,1),(8753,1),(8754,1),(8761,1),(9175,1),(9510,1)}
7693:{1,2,3,6}:{(7154,1),(7189,1),(7217,1),(7236,1),(8075,1),(8106,1)}
7694:{1,2,3,5,7}:{(7155,1),(7190,1),(7218,1),(7235,1),(7242,1),(8004,1),(8076,1),(8108,1),(8112,1),(8771,1)}
7695:{1,2,6}:{(7151,1),(7191,1),(7240,1),(8046,1),(8106,1)}
7696:{1,2,3,6,7}:{(7152,1),(7192,1),(7219,1),(7237,1),(7239,1),(8014,1),(8017,1),(8055,1),(8058,1),(8095,1),(8636,1),(9105,1),(9118,1)}
7697:{1,2,3,5,7}:{(7156,1),(7193,1),(7220,1),(7238,1),(8018,1),(8056,1),(8059,1),(8088,1),(8096,1),(8100,1),(8109,1),(8629,1),(8713,1),(8738,1),(8765,1),(8766,1),(9049,1)}
7698:{1,2,3,7}:{(7157,1),(7194,1),(7222,1),(8104,1),(8111,1),(9117,1)}
7699:{1,2,3,6,7}:{(7158,1),(7195,1),(7223,1),(7234,1),(7946,1),(7949,1),(8011,1),(8012,1),(8022,1),(8024,1),(8079,1),(8085,1),(8111,1),(8562,1),(8569,1),(8781,1)}
7700:{1,2,3,6}:{(7159,1),(7196,1),(7224,1),(7243,1),(7954,1),(7957,1),(7982,1),(7984,1),(8112,1),(8113,1),(8734,1)}
7701:{1,2,3,7}:{(7160,1),(7197,1),(7225,1),(7243,1),(8025,1),(8110,1)}
7702:{1,2,3,4}:{(7161,1),(7183,1),(7243,1),(7958,1),(7960,1),(7992,1),(7993,1),(8116,1)}
7703:{1,6}:{(7248,1),(7249,1)}
7704:{1,4,6}:{(7246,1),(7250,1),(8071,1),(8078,1),(8098,1)}
7705:{1,2,3,5,6}:{(7247,1),(7251,1),(8072,1),(8774,1),(8780,1),(8786,1),(9456,1),(9457,1),(9462,1)}
7706:{4,5}:{(7256,1),(7344,1),(8419,1)}
7707:{3,4,5,6}:{(7255,1),(7321,1),(7345,1),(7350,1),(8127,1),(8179,1),(8206,1),(8219,1),(8236,1),(8800,1),(9027,1)}
7708:{3,4,5}:{(7267,1),(7323,1),(7345,1),(8141,1),(8165,1),(8206,1),(8900,1),(9328,1)}
7709:{4,5,6}:{(7266,1),(7347,1),(7351,1),(8131,1),(8207,1),(8220,1),(8789,1)}
7710:{3,4,5}:{(7262,1),(7323,1),(7346,1),(8177,1),(8419,1),(8961,1)}
7711:{4,5}:{(7252,1),(7347,1),(8147,1),(8207,1)}
7712:{4,6}:{(7265,1),(7351,1),(8129,1)}
7713:{3,4,5,6}:{(7254,1),(7321,1),(7346,1),(7349,1),(8123,1),(8142,1),(8166,1),(8205,1),(8217,1),(8236,1),(8922,1),(9357,1)}
7714:{3,4}:{(7258,1),(7322,1),(8172,1),(8419,1)}
7715:{4}:{(7261,1),(8137,1)}
7716:{4}:{(7260,1)}
7717:{4,6}:{(7253,1),(7348,1),(8126,1),(8146,1)}
7718:{3,4,6}:{(7259,1),(7320,1),(7349,1),(8119,1),(8144,1),(8178,1),(8233,1)}
7719:{3,4,6}:{(7264,1),(7320,1),(7350,1),(8125,1),(8175,1),(8233,1)}
7720:{3,4}:{(7257,1),(7322,1),(8134,1),(8169,1)}
7721:{4,5,6}:{(7263,1),(7344,1),(7348,1),(8122,1),(8135,1),(8208,1),(8218,1)}
7722:{3,5,7}:{(7254,1),(7269,1),(7285,1),(8182,1)}
7723:{2,3,5,7}:{(7266,1),(7274,1),(7290,1),(7364,1),(8131,1),(8152,1),(8183,1),(8844,1)}
7724:{2,3,5,7}:{(7258,1),(7280,1),(7292,1),(7365,1),(8132,1),(8150,1),(8424,1),(8918,1),(9347,1)}
7725:{2,3,5,7}:{(7260,1),(7283,1),(7287,1),(7366,1),(8128,1),(8154,1)}
7726:{2,3,5,7}:{(7255,1),(7273,1),(7293,1),(7367,1),(8127,1),(8163,1),(8185,1)}
7727:{3,5,7}:{(7253,1),(7270,1),(7289,1),(8126,1),(8184,1),(8840,1)}
7728:{2,3,5,7}:{(7256,1),(7272,1),(7291,1),(7365,1),(8120,1),(8158,1),(8420,1),(8903,1),(8911,1)}
7729:{3,5,7}:{(7257,1),(7271,1),(7286,1),(8121,1),(8160,1),(8793,1),(9523,1)}
7730:{3,5,7}:{(7267,1),(7277,1),(7296,1),(8162,1)}
7731:{3,5,7}:{(7259,1),(7278,1),(7297,1),(8119,1),(8195,1)}
7732:{3,5,7}:{(7263,1),(7281,1),(7294,1),(8122,1),(8192,1),(9557,1)}
7733:{2,3,5,7}:{(7262,1),(7276,1),(7299,1),(7366,1),(8124,1),(8153,1),(8420,1),(8424,1),(8911,1),(9024,1),(9276,1),(9550,1)}
7734:{3,5,7}:{(7261,1),(7282,1),(7298,1),(8117,1),(8157,1),(8790,1)}
7735:{2,3,5,7}:{(7265,1),(7275,1),(7295,1),(7367,1),(8129,1),(8159,1),(8187,1),(8791,1),(8846,1),(9269,1),(9515,1)}
7736:{2,3,5,7}:{(7264,1),(7279,1),(7284,1),(7364,1),(8125,1),(8151,1),(8188,1),(8799,1)}
7737:{3,5,7}:{(7252,1),(7268,1),(7288,1),(8118,1),(8164,1)}
7738:{2,4,6,7}:{(7284,1),(7438,1),(7497,1),(7506,1),(8151,1),(8202,1),(8238,1),(9255,1)}
7739:{2,4,6,7}:{(7293,1),(7437,1),(7499,1),(7506,1),(8163,1),(8201,1),(8240,1)}
7740:{5,6,7}:{(7289,1),(7502,1),(7504,1),(8199,1)}
7741:{2,6,7}:{(7290,1),(7438,1),(7507,1)}
7742:{1,2,4,5,6}:{(7299,1),(7378,1),(7439,1),(7496,1),(7503,1),(8153,1),(8200,1),(8204,1),(8239,1),(8355,1),(8447,1),(8460,1),(8795,1),(8818,1),(8835,1),(8890,1),(8926,1),(8929,1),(8965,1),(8970,1),(9021,1),(9249,1),(9285,1)}
7743:{1,4,6}:{(7296,1),(7379,1),(7496,1),(8162,1),(8204,1),(8353,1)}
7744:{1,2,4,5,6}:{(7292,1),(7378,1),(7436,1),(7498,1),(7501,1),(8150,1),(8197,1),(8203,1),(8237,1),(8355,1),(8447,1),(8460,1),(8797,1),(8820,1),(8821,1),(8889,1),(8925,1),(8932,1),(8966,1),(8971,1),(9021,1),(9259,1),(9277,1)}
7745:{1,2,5,6}:{(7287,1),(7376,1),(7439,1),(7501,1),(8154,1),(8197,1),(8239,1),(8932,1),(8970,1),(9292,1)}
7746:{1,6}:{(7298,1),(7377,1),(8157,1),(9519,1)}
7747:{1,2,5,6}:{(7291,1),(7376,1),(7436,1),(7503,1),(8158,1),(8200,1),(8237,1),(8929,1),(8971,1)}
7748:{1,4,6}:{(7286,1),(7379,1),(7498,1),(8160,1),(8203,1),(8353,1)}
7749:{2,6,7}:{(7295,1),(7437,1),(7507,1)}
7750:{4,5,6,7}:{(7285,1),(7499,1),(7500,1),(7505,1),(8156,1),(8198,1),(8201,1),(9257,1)}
7751:{1,6}:{(7288,1),(7377,1),(8164,1)}
7752:{4,5,6,7}:{(7297,1),(7497,1),(7502,1),(7505,1),(8161,1),(8199,1),(8202,1),(8803,1)}
7753:{5,6,7}:{(7294,1),(7500,1),(7504,1)}
7754:{1,5,6}:{(7263,1),(7309,1),(7553,1),(8192,1),(8450,1)}
7755:{1,3,5}:{(7261,1),(7311,1),(7526,1),(8173,1),(8328,1)}
7756:{1,2,3,5}:{(7256,1),(7305,1),(7472,1),(7527,1),(8168,1),(8325,1),(8363,1),(8450,1),(8870,1),(8951,1),(8974,1)}
7757:{1,5,6}:{(7259,1),(7313,1),(7554,1),(8178,1),(8195,1),(9336,1),(9544,1)}
7758:{1,2,3,5}:{(7262,1),(7312,1),(7473,1),(7525,1),(8177,1),(8327,1),(8361,1),(8450,1),(8949,1),(8976,1)}
7759:{1,2,5,6}:{(7255,1),(7307,1),(7474,1),(7552,1),(8179,1),(8185,1),(8394,1),(9338,1)}
7760:{1,2,3,5}:{(7258,1),(7306,1),(7472,1),(7525,1),(8172,1),(8327,1),(8363,1),(8881,1)}
7761:{1,2,5,6}:{(7266,1),(7304,1),(7475,1),(7555,1),(8167,1),(8183,1),(8396,1),(9325,1),(9525,1)}
7762:{1,2,5,6}:{(7264,1),(7310,1),(7475,1),(7552,1),(8175,1),(8188,1),(8394,1),(8938,1)}
7763:{1,2,5,6}:{(7265,1),(7308,1),(7474,1),(7555,1),(8170,1),(8187,1),(8396,1),(8940,1)}
7764:{1,5,6}:{(7253,1),(7303,1),(7553,1),(8171,1),(8184,1),(9339,1),(9518,1)}
7765:{1,5,6}:{(7254,1),(7301,1),(7554,1),(8182,1),(8450,1)}
7766:{1,3,5}:{(7257,1),(7300,1),(7524,1),(8169,1)}
7767:{1,3,5}:{(7267,1),(7315,1),(7524,1),(8165,1),(9328,1)}
7768:{1,3,5}:{(7252,1),(7302,1),(7526,1),(8174,1),(8328,1),(9272,1)}
7769:{1,2,3,5}:{(7260,1),(7314,1),(7473,1),(7527,1),(8176,1),(8325,1),(8361,1),(8877,1)}
7770:{1,2,3,4,6,7}:{(7272,1),(7305,1),(7494,1),(7543,1),(7569,1),(7578,1),(8186,1),(8294,1),(8323,1),(8359,1),(8389,1),(8454,1),(8472,1),(8827,1),(8839,1),(8856,1),(8945,1),(8960,1),(8971,1),(8986,1),(9003,1),(9009,1),(9034,1),(9295,1),(9317,1)}
7771:{1,3,4,7}:{(7277,1),(7315,1),(7542,1),(7568,1),(8189,1),(8293,1),(8322,1),(9309,1)}
7772:{1,2,4,7}:{(7274,1),(7304,1),(7493,1),(7571,1),(8183,1),(8295,1),(8357,1),(9313,1)}
7773:{1,3,7}:{(7271,1),(7300,1),(7542,1)}
7774:{1,3,4,7}:{(7268,1),(7302,1),(7541,1),(7571,1),(8191,1),(8295,1),(8321,1),(8847,1)}
7775:{1,4,6,7}:{(7281,1),(7309,1),(7569,1),(7579,1),(8192,1),(8294,1),(8392,1)}
7776:{1,2,4,7}:{(7273,1),(7307,1),(7492,1),(7568,1),(8185,1),(8293,1),(8358,1)}
7777:{1,2,3,6,7}:{(7283,1),(7314,1),(7495,1),(7543,1),(7576,1),(8194,1),(8323,1),(8360,1),(8391,1),(8945,1),(8970,1),(9307,1)}
7778:{1,6,7}:{(7270,1),(7303,1),(7577,1),(8184,1),(9518,1)}
7779:{1,2,7}:{(7275,1),(7308,1),(7492,1)}
7780:{1,2,7}:{(7279,1),(7310,1),(7493,1)}
7781:{1,6,7}:{(7278,1),(7313,1),(7577,1),(8195,1),(9544,1)}
7782:{1,3,7}:{(7282,1),(7311,1),(7541,1),(8321,1)}
7783:{1,4,6,7}:{(7269,1),(7301,1),(7570,1),(7579,1),(8182,1),(8296,1),(8392,1)}
7784:{1,2,3,6,7}:{(7280,1),(7306,1),(7494,1),(7540,1),(7576,1),(8190,1),(8324,1),(8359,1),(8391,1),(8948,1),(8971,1),(9298,1)}
7785:{1,2,3,4,6,7}:{(7276,1),(7312,1),(7495,1),(7540,1),(7570,1),(7578,1),(8181,1),(8296,1),(8324,1),(8360,1),(8389,1),(8454,1),(8472,1),(8835,1),(8843,1),(8853,1),(8948,1),(8958,1),(8970,1),(8985,1),(9002,1),(9009,1),(9034,1),(9306,1),(9318,1)}
7786:{4,6,7}:{(7318,1),(7362,1),(7586,1),(8240,1)}
7787:{4,6}:{(7317,1),(7361,1),(8237,1)}
7788:{4,6}:{(7319,1),(7360,1),(8239,1)}
7789:{4,6,7}:{(7316,1),(7363,1),(7586,1),(8238,1)}
7790:{4,7}:{(7320,1),(7411,1)}
7791:{4,5,7}:{(7323,1),(7408,1),(7588,1),(8204,1)}
7792:{4,7}:{(7322,1),(7410,1),(8203,1),(9245,1)}
7793:{4,5,7}:{(7321,1),(7409,1),(7588,1),(8201,1),(8893,1)}
7794:{4,6,7}:{(7324,1),(7425,1),(7590,1),(8199,1)}
7795:{4,6}:{(7325,1),(7424,1),(8200,1)}
7796:{4,6}:{(7327,1),(7427,1),(8197,1)}
7797:{4,6,7}:{(7326,1),(7426,1),(7590,1),(8198,1)}
7798:{3,4,5,7}:{(7318,1),(7329,1),(7334,1),(7367,1),(8129,1),(8212,1),(8229,1),(8247,1),(8287,1),(8791,1),(8846,1),(8893,1),(9257,1),(9269,1),(9309,1)}
7799:{3,4,5,7}:{(7316,1),(7330,1),(7332,1),(7364,1),(8125,1),(8131,1),(8211,1),(8231,1),(8245,1),(8288,1),(8799,1),(8844,1),(8896,1),(9252,1),(9316,1),(9568,1)}
7800:{3,4,5,7}:{(7317,1),(7328,1),(7335,1),(7365,1),(8120,1),(8132,1),(8210,1),(8248,1),(8286,1),(8804,1)}
7801:{3,4,5,7}:{(7319,1),(7331,1),(7333,1),(7366,1),(8128,1),(8209,1),(8246,1),(8285,1),(8797,1),(8839,1),(9276,1),(9570,1)}
7802:{4,5,7}:{(7336,1),(7343,1),(7388,1),(8117,1),(8215,1),(8249,1),(8790,1)}
7803:{3,4,5,7}:{(7337,1),(7342,1),(7390,1),(7587,1),(8132,1),(8216,1),(8289,1),(8424,1),(8804,1)}
7804:{4,5,7}:{(7338,1),(7340,1),(7391,1),(8128,1),(8214,1),(8797,1),(9570,1)}
7805:{3,4,5,7}:{(7339,1),(7341,1),(7389,1),(7587,1),(8121,1),(8213,1),(8251,1),(8290,1),(8424,1),(8793,1),(9026,1),(9344,1)}
7806:{4,7}:{(7344,1),(7413,1)}
7807:{4,7}:{(7347,1),(7415,1)}
7808:{3,4,7}:{(7346,1),(7412,1),(7588,1),(8296,1)}
7809:{3,4,7}:{(7345,1),(7414,1),(7588,1),(8293,1),(8893,1)}
7810:{3,4,5,7}:{(7350,1),(7355,1),(7420,1),(7589,1),(8125,1),(8206,1),(8219,1),(8299,1),(8426,1),(8799,1),(9027,1),(9341,1)}
7811:{4,5,7}:{(7351,1),(7353,1),(7423,1),(8129,1),(8207,1),(8220,1),(8791,1)}
7812:{4,5,7}:{(7348,1),(7354,1),(7422,1),(8126,1),(8208,1),(8218,1),(8258,1)}
7813:{3,4,5,7}:{(7349,1),(7352,1),(7421,1),(7589,1),(8119,1),(8205,1),(8217,1),(8257,1),(8297,1),(8426,1)}
7814:{3,4,6}:{(7355,1),(7431,1),(7592,1),(8206,1),(8301,1)}
7815:{4,6}:{(7353,1),(7428,1),(8207,1)}
7816:{4,6}:{(7354,1),(7430,1),(8208,1),(8419,1)}
7817:{3,4,6}:{(7352,1),(7429,1),(7592,1),(8205,1),(8303,1),(8419,1),(8961,1),(9023,1)}
7818:{3,4,5,7}:{(7325,1),(7357,1),(7419,1),(7598,1),(8120,1),(8224,1),(8305,1),(8420,1)}
7819:{3,4,7}:{(7327,1),(7359,1),(7417,1),(8128,1),(8221,1),(8307,1),(9570,1)}
7820:{3,4,7}:{(7324,1),(7358,1),(7416,1),(8126,1),(8274,1),(8308,1),(8840,1)}
7821:{3,4,5,7}:{(7326,1),(7356,1),(7418,1),(7598,1),(8122,1),(8222,1),(8276,1),(8306,1),(8420,1),(8838,1),(9022,1)}
7822:{3,6,7}:{(7367,1),(7437,1),(7601,1),(8312,1)}
7823:{3,6,7}:{(7364,1),(7438,1),(7601,1),(8309,1)}
7824:{3,5,6}:{(7366,1),(7439,1),(7600,1),(8209,1),(8945,1),(9276,1)}
7825:{3,5,6}:{(7365,1),(7436,1),(7600,1),(8210,1),(8945,1)}
7826:{3,5,6}:{(7374,1),(7443,1),(7604,1),(8206,1),(8229,1),(9328,1),(9548,1)}
7827:{3,4,5}:{(7373,1),(7440,1),(7602,1),(8265,1),(8419,1)}
7828:{3,4,5}:{(7372,1),(7442,1),(7602,1),(8208,1),(8234,1),(8266,1),(8419,1)}
7829:{3,5,6}:{(7375,1),(7441,1),(7604,1),(8207,1),(8231,1),(8233,1),(8789,1)}
7830:{3,4,6,7}:{(7330,1),(7369,1),(7375,1),(7447,1),(8226,1),(8231,1),(8271,1),(8896,1)}
7831:{3,4,6,7}:{(7331,1),(7371,1),(7373,1),(7444,1),(8209,1),(8230,1),(8269,1),(8425,1),(8839,1),(8886,1)}
7832:{3,4,6,7}:{(7329,1),(7368,1),(7374,1),(7446,1),(8229,1),(8270,1),(8425,1),(8846,1),(8888,1),(8893,1),(9309,1),(9548,1)}
7833:{3,4,6,7}:{(7328,1),(7370,1),(7372,1),(7445,1),(8210,1),(8225,1),(8232,1),(8272,1)}
7834:{2,5,7}:{(7318,1),(7382,1),(7384,1),(8240,1)}
7835:{2,5,7}:{(7316,1),(7381,1),(7386,1),(8238,1),(8242,1)}
7836:{2,5,7}:{(7317,1),(7383,1),(7387,1),(8237,1),(8241,1),(8889,1)}
7837:{2,5,7}:{(7319,1),(7380,1),(7385,1),(8239,1)}
7838:{2,4,5,6}:{(7321,1),(7382,1),(7615,1),(7616,1),(8142,1),(8244,1),(8428,1),(8430,1),(8890,1),(8898,1)}
7839:{2,4,6}:{(7320,1),(7381,1),(7616,1),(8144,1),(8242,1)}
7840:{2,4,5}:{(7323,1),(7380,1),(7615,1),(8141,1),(8428,1),(8900,1)}
7841:{2,4}:{(7322,1),(7383,1),(8134,1)}
7842:{3,6}:{(7379,1),(7389,1),(8353,1)}
7843:{3,6}:{(7377,1),(7388,1),(8215,1),(8356,1)}
7844:{2,3,5,6}:{(7376,1),(7391,1),(7593,1),(7619,1),(8214,1),(8354,1),(8945,1)}
7845:{2,3,5,6}:{(7378,1),(7390,1),(7593,1),(7619,1),(8216,1),(8355,1)}
7846:{2,3,7}:{(7330,1),(7386,1),(7396,1),(8255,1),(8357,1)}
7847:{2,3,7}:{(7328,1),(7387,1),(7399,1),(8256,1),(8359,1)}
7848:{2,3,7}:{(7331,1),(7385,1),(7398,1),(8360,1)}
7849:{2,3,7}:{(7329,1),(7384,1),(7397,1),(8358,1)}
7850:{2,3,5}:{(7335,1),(7383,1),(7399,1),(8145,1),(8148,1),(8363,1)}
7851:{2,3,5,6}:{(7332,1),(7381,1),(7396,1),(7622,1),(8133,1),(8136,1),(8245,1),(8362,1),(8434,1)}
7852:{2,3,5,6}:{(7334,1),(7382,1),(7397,1),(7622,1),(8139,1),(8247,1),(8364,1),(8434,1),(8883,1),(8908,1)}
7853:{2,3,5}:{(7333,1),(7380,1),(7398,1),(8138,1),(8361,1),(8877,1)}
7854:{2,3,4,6,7}:{(7337,1),(7392,1),(7400,1),(7613,1),(8216,1),(8228,1),(8252,1),(8253,1),(8367,1),(8438,1),(8816,1),(9250,1)}
7855:{2,4,6,7}:{(7338,1),(7395,1),(7403,1),(8214,1),(8225,1),(8250,1),(8256,1),(8820,1),(9322,1),(9556,1)}
7856:{2,3,4,6,7}:{(7339,1),(7394,1),(7402,1),(7613,1),(8213,1),(8227,1),(8251,1),(8254,1),(8368,1),(8438,1),(8811,1),(9026,1),(9349,1)}
7857:{2,4,6,7}:{(7336,1),(7393,1),(7401,1),(8215,1),(8226,1),(8249,1),(8255,1),(8810,1)}
7858:{2,3,4,5}:{(7342,1),(7400,1),(7614,1),(7620,1),(8145,1),(8205,1),(8371,1),(8419,1),(8439,1),(8897,1),(8961,1)}
7859:{2,5}:{(7343,1),(7401,1),(8137,1),(8207,1)}
7860:{2,3,5}:{(7341,1),(7402,1),(7614,1),(8134,1),(8206,1),(8369,1)}
7861:{2,4,5}:{(7340,1),(7403,1),(7620,1),(8138,1),(8208,1),(8419,1),(9337,1)}
7862:{2,3,4,6}:{(7346,1),(7398,1),(7407,1),(7615,1),(8140,1),(8142,1),(8253,1),(8373,1),(8441,1),(8922,1)}
7863:{2,4,6}:{(7347,1),(7396,1),(7405,1),(8147,1),(8255,1),(8810,1)}
7864:{2,4,6}:{(7344,1),(7399,1),(7406,1),(8135,1),(8148,1),(8256,1)}
7865:{2,3,4,6}:{(7345,1),(7397,1),(7404,1),(7615,1),(8141,1),(8254,1),(8376,1),(8441,1),(8811,1),(8923,1)}
7866:{2,4,5}:{(7351,1),(7405,1),(7622,1),(8139,1),(8432,1),(8900,1)}
7867:{2,3,5}:{(7349,1),(7407,1),(7616,1),(8144,1),(8378,1)}
7868:{2,3,4,5}:{(7350,1),(7404,1),(7616,1),(7622,1),(8133,1),(8377,1),(8432,1),(8442,1),(8899,1),(9018,1),(9340,1)}
7869:{2,5}:{(7348,1),(7406,1),(8146,1)}
7870:{2,4,7}:{(7354,1),(7406,1),(7434,1),(8258,1),(8264,1)}
7871:{2,4,7}:{(7353,1),(7405,1),(7433,1),(8261,1),(8432,1),(8896,1)}
7872:{2,3,4,7}:{(7352,1),(7407,1),(7435,1),(7617,1),(8257,1),(8263,1),(8381,1),(9248,1),(9541,1)}
7873:{2,3,4,7}:{(7355,1),(7404,1),(7432,1),(7617,1),(8262,1),(8383,1),(8432,1),(8893,1),(8923,1),(9018,1),(9309,1)}
7874:{2,3,5,6}:{(7361,1),(7410,1),(7427,1),(7498,1),(8160,1),(8197,1),(8203,1),(8237,1),(8793,1),(8807,1),(8889,1)}
7875:{2,3,5,6,7}:{(7362,1),(7409,1),(7426,1),(7499,1),(7626,1),(8156,1),(8163,1),(8198,1),(8201,1),(8240,1),(8385,1),(8792,1),(8812,1),(8888,1),(8892,1)}
7876:{2,3,5,6}:{(7360,1),(7408,1),(7424,1),(7496,1),(8162,1),(8200,1),(8204,1),(8239,1),(8800,1),(8811,1),(8890,1)}
7877:{2,3,5,6,7}:{(7363,1),(7411,1),(7425,1),(7497,1),(7626,1),(8151,1),(8161,1),(8199,1),(8202,1),(8238,1),(8387,1),(8799,1),(8817,1),(8885,1),(8891,1),(8909,1)}
7878:{2,3,6}:{(7417,1),(7501,1),(7600,1),(8221,1),(8945,1)}
7879:{3,6,7}:{(7418,1),(7500,1),(7627,1),(8392,1)}
7880:{3,6,7}:{(7416,1),(7502,1),(7627,1),(8390,1)}
7881:{2,3,6}:{(7419,1),(7503,1),(7600,1),(8224,1),(8945,1)}
7882:{2,3,6}:{(7420,1),(7506,1),(7601,1),(8219,1),(8394,1)}
7883:{3,5,6}:{(7421,1),(7505,1),(7627,1),(8217,1),(8395,1)}
7884:{3,5,6}:{(7422,1),(7504,1),(7627,1),(8218,1),(8393,1),(8956,1)}
7885:{2,3,6}:{(7423,1),(7507,1),(7601,1),(8220,1),(8396,1),(8955,1)}
7886:{2,3,5,6,7}:{(7371,1),(7412,1),(7429,1),(7510,1),(7629,1),(8153,1),(8156,1),(8228,1),(8269,1),(8420,1),(8436,1),(8438,1),(8812,1),(8888,1),(8904,1),(8920,1),(8997,1),(9024,1),(9266,1),(9348,1),(9547,1)}
7887:{2,3,5,6,7}:{(7370,1),(7413,1),(7430,1),(7509,1),(7629,1),(8155,1),(8158,1),(8225,1),(8272,1),(8420,1),(8436,1),(8815,1),(8903,1)}
7888:{2,3,6,7}:{(7368,1),(7414,1),(7431,1),(7508,1),(8162,1),(8227,1),(8811,1),(8888,1),(9548,1)}
7889:{2,3,6,7}:{(7369,1),(7415,1),(7428,1),(7511,1),(8164,1),(8226,1),(8810,1)}
7890:{2,3,6}:{(7372,1),(7434,1),(7513,1),(8264,1),(8266,1)}
7891:{2,3,6}:{(7374,1),(7432,1),(7512,1),(9548,1)}
7892:{2,3,6}:{(7375,1),(7433,1),(7514,1),(8261,1),(8810,1)}
7893:{2,3,6}:{(7373,1),(7435,1),(7515,1),(8265,1),(8877,1)}
7894:{2,3,6}:{(7358,1),(7519,1),(7638,1),(8146,1),(8233,1),(8274,1)}
7895:{2,3,4}:{(7359,1),(7518,1),(7635,1),(8138,1),(8234,1),(8419,1),(9570,1)}
7896:{2,3,5,6}:{(7356,1),(7517,1),(7637,1),(7638,1),(8135,1),(8236,1),(8276,1),(8435,1),(8443,1),(9326,1)}
7897:{2,3,4,5}:{(7357,1),(7516,1),(7635,1),(7637,1),(8148,1),(8235,1),(8419,1),(8435,1),(8921,1)}
7898:{1,4,5,7}:{(7317,1),(7442,1),(7445,1),(7467,1),(8232,1),(8277,1),(8281,1),(8341,1)}
7899:{1,4,5,7}:{(7318,1),(7443,1),(7446,1),(7464,1),(8229,1),(8342,1),(8417,1),(8791,1),(8893,1),(8935,1),(9257,1),(9553,1)}
7900:{1,4,5,7}:{(7319,1),(7440,1),(7444,1),(7465,1),(8230,1),(8280,1),(8343,1),(8417,1),(8797,1)}
7901:{1,4,5,7}:{(7316,1),(7441,1),(7447,1),(7466,1),(8231,1),(8284,1),(8344,1),(8896,1)}
7902:{1,4}:{(7322,1),(7545,1),(8234,1),(8419,1)}
7903:{1,4,5}:{(7323,1),(7544,1),(7644,1),(8235,1),(8419,1),(8900,1),(8964,1)}
7904:{1,4,6}:{(7320,1),(7546,1),(7645,1),(8233,1),(8284,1)}
7905:{1,4,5,6}:{(7321,1),(7547,1),(7644,1),(7645,1),(8236,1),(8283,1),(8446,1),(8448,1)}
7906:{1,4,7}:{(7330,1),(7455,1),(7471,1),(8357,1)}
7907:{1,4,7}:{(7329,1),(7454,1),(7470,1),(8358,1)}
7908:{1,4,7}:{(7328,1),(7452,1),(7468,1),(8359,1)}
7909:{1,4,7}:{(7331,1),(7453,1),(7469,1),(8360,1)}
7910:{1,4,5,6}:{(7334,1),(7454,1),(7474,1),(7652,1),(8170,1),(8287,1),(8320,1),(8364,1),(8452,1),(8940,1),(8989,1)}
7911:{1,4,5,6}:{(7332,1),(7455,1),(7475,1),(7652,1),(8175,1),(8288,1),(8317,1),(8362,1),(8452,1),(8938,1),(8990,1)}
7912:{1,4,5}:{(7333,1),(7453,1),(7473,1),(8176,1),(8361,1)}
7913:{1,4,5}:{(7335,1),(7452,1),(7472,1),(8172,1),(8363,1)}
7914:{1,4,7}:{(7336,1),(7457,1),(7523,1),(8321,1)}
7915:{1,4,7}:{(7337,1),(7458,1),(7521,1),(8324,1)}
7916:{1,4,7}:{(7339,1),(7456,1),(7520,1),(8322,1)}
7917:{1,4,7}:{(7338,1),(7459,1),(7522,1),(8323,1)}
7918:{1,4,5}:{(7340,1),(7459,1),(7527,1),(8176,1),(8325,1)}
7919:{1,4,5}:{(7343,1),(7457,1),(7526,1),(8173,1),(8328,1),(8370,1),(8962,1)}
7920:{1,4,5}:{(7342,1),(7458,1),(7525,1),(8172,1),(8327,1)}
7921:{1,4,5}:{(7341,1),(7456,1),(7524,1),(8169,1),(8326,1),(8369,1),(8964,1)}
7922:{1,4,6}:{(7346,1),(7462,1),(7548,1),(8177,1),(8296,1)}
7923:{1,4,6}:{(7344,1),(7460,1),(7551,1),(8168,1),(8294,1),(8331,1)}
7924:{1,4,6}:{(7347,1),(7461,1),(7550,1),(8174,1),(8295,1),(8332,1),(8962,1),(9368,1)}
7925:{1,4,6}:{(7345,1),(7463,1),(7549,1),(8165,1),(8293,1),(8964,1)}
7926:{1,4,5}:{(7349,1),(7462,1),(7554,1),(8178,1),(8334,1),(8378,1),(9017,1),(9336,1)}
7927:{1,4,5}:{(7348,1),(7460,1),(7553,1),(8171,1),(8336,1),(8380,1),(9020,1),(9339,1)}
7928:{1,4,5}:{(7350,1),(7463,1),(7552,1),(8175,1),(8335,1)}
7929:{1,4,5}:{(7351,1),(7461,1),(7555,1),(8170,1),(8333,1)}
7930:{1,4,7}:{(7353,1),(7461,1),(7560,1),(8304,1),(8340,1),(8962,1)}
7931:{1,4,7}:{(7354,1),(7460,1),(7562,1),(8302,1),(8339,1),(9020,1),(9322,1)}
7932:{1,4,7}:{(7355,1),(7463,1),(7563,1),(8301,1),(8964,1)}
7933:{1,4,7}:{(7352,1),(7462,1),(7561,1),(8303,1),(9017,1)}
7934:{1,4,5}:{(7357,1),(7556,1),(7656,1),(8450,1)}
7935:{1,4}:{(7359,1),(7557,1),(9570,1)}
7936:{1,4,5,6}:{(7356,1),(7559,1),(7656,1),(7657,1),(8306,1),(8413,1),(8450,1),(8453,1),(8929,1),(9035,1)}
7937:{1,4,6}:{(7358,1),(7558,1),(7657,1),(8308,1),(8415,1)}
7938:{1,5,6,7}:{(7362,1),(7464,1),(7481,1),(7658,1),(8198,1),(8312,1)}
7939:{1,5,6,7}:{(7363,1),(7466,1),(7482,1),(7658,1),(8199,1),(8309,1)}
7940:{1,3,5,6}:{(7360,1),(7465,1),(7483,1),(7647,1),(8200,1),(8280,1),(8422,1),(8800,1),(8929,1),(9267,1)}
7941:{1,3,5,6}:{(7361,1),(7467,1),(7480,1),(7647,1),(8197,1),(8277,1),(8422,1),(8793,1),(8932,1),(9264,1)}
7942:{1,5,7}:{(7367,1),(7474,1),(7492,1),(8312,1)}
7943:{1,5,7}:{(7364,1),(7475,1),(7493,1),(8309,1)}
7944:{1,3,5,7}:{(7365,1),(7472,1),(7494,1),(7648,1),(8286,1),(8310,1),(8932,1),(9264,1)}
7945:{1,3,5,7}:{(7366,1),(7473,1),(7495,1),(7648,1),(8285,1),(8311,1),(8932,1),(9276,1)}
7946:{1,3,6,7}:{(7368,1),(7451,1),(7470,1),(7476,1),(8312,1),(8322,1)}
7947:{1,3,5,6,7}:{(7371,1),(7448,1),(7469,1),(7477,1),(7662,1),(8311,1),(8314,1),(8324,1),(8455,1),(8845,1),(8948,1),(9266,1),(9274,1)}
7948:{1,3,5,6,7}:{(7370,1),(7449,1),(7468,1),(7479,1),(7662,1),(8310,1),(8313,1),(8323,1),(8455,1),(8838,1),(8945,1),(9261,1)}
7949:{1,3,6,7}:{(7369,1),(7450,1),(7471,1),(7478,1),(8309,1),(8321,1)}
7950:{1,3,4,6}:{(7375,1),(7455,1),(7478,1),(7485,1),(8304,1),(8317,1),(8332,1),(8401,1),(8452,1),(8823,1),(8955,1),(8990,1),(9399,1),(9535,1)}
7951:{1,3,4,6}:{(7372,1),(7452,1),(7479,1),(7487,1),(8302,1),(8318,1),(8331,1),(8404,1)}
7952:{1,3,4,6}:{(7374,1),(7454,1),(7476,1),(7486,1),(8301,1),(8320,1),(8403,1),(8452,1),(8828,1),(8954,1),(8989,1),(9548,1)}
7953:{1,3,4,6}:{(7373,1),(7453,1),(7477,1),(7484,1),(8303,1),(8319,1),(8402,1),(9374,1)}
7954:{3,6}:{(7459,1),(7489,1),(8323,1),(8325,1)}
7955:{1,3,6}:{(7456,1),(7491,1),(7606,1),(8322,1),(8326,1)}
7956:{3,6}:{(7457,1),(7490,1),(8321,1),(8328,1)}
7957:{1,3,6}:{(7458,1),(7488,1),(7606,1),(8324,1),(8327,1)}
7958:{3,4}:{(7460,1),(7489,1),(8336,1),(8410,1),(9020,1)}
7959:{3,4}:{(7461,1),(7490,1),(8333,1),(8412,1)}
7960:{1,3,4}:{(7462,1),(7488,1),(7608,1),(8334,1),(8409,1),(9017,1)}
7961:{1,3,4}:{(7463,1),(7491,1),(7608,1),(8335,1),(8411,1)}
7962:{1,2,5,6}:{(7381,1),(7441,1),(7514,1),(7670,1),(8267,1),(8344,1),(8346,1),(9336,1),(9544,1)}
7963:{1,2,5,6}:{(7382,1),(7443,1),(7512,1),(7670,1),(8268,1),(8342,1),(8428,1),(8890,1),(8908,1),(8973,1)}
7964:{1,2,5}:{(7383,1),(7442,1),(7513,1),(8266,1),(8348,1)}
7965:{1,2,5}:{(7380,1),(7440,1),(7515,1),(8265,1),(8428,1)}
7966:{1,2,6,7}:{(7386,1),(7447,1),(7514,1),(8238,1),(8271,1),(8344,1),(8357,1),(9544,1)}
7967:{1,2,6,7}:{(7387,1),(7445,1),(7513,1),(8237,1),(8272,1),(8341,1),(8359,1),(8971,1)}
7968:{1,2,4,6,7}:{(7385,1),(7444,1),(7515,1),(7669,1),(8239,1),(8269,1),(8343,1),(8360,1),(8431,1),(8463,1),(8818,1),(8853,1),(8894,1),(8965,1),(8970,1)}
7969:{1,2,4,6,7}:{(7384,1),(7446,1),(7512,1),(7669,1),(8240,1),(8270,1),(8342,1),(8358,1),(8431,1),(8463,1),(8809,1),(8860,1),(8893,1),(8972,1)}
7970:{1,2,4,7}:{(7324,1),(7519,1),(7567,1),(8242,1),(8274,1),(8284,1),(8308,1),(8866,1)}
7971:{1,2,4,5,7}:{(7325,1),(7516,1),(7566,1),(7677,1),(8243,1),(8273,1),(8282,1),(8305,1),(8352,1),(8458,1),(9311,1),(9520,1)}
7972:{1,2,4,7}:{(7327,1),(7518,1),(7564,1),(8241,1),(8275,1),(8281,1),(8307,1),(8351,1),(9245,1),(9571,1)}
7973:{1,2,4,5,7}:{(7326,1),(7517,1),(7565,1),(7677,1),(8244,1),(8276,1),(8283,1),(8306,1),(8349,1),(8458,1),(8859,1),(9022,1)}
7974:{1,2,5,7}:{(7390,1),(7525,1),(7540,1),(7648,1),(8289,1),(8355,1),(8932,1),(9277,1)}
7975:{1,2,5,7}:{(7391,1),(7527,1),(7543,1),(7648,1),(8291,1),(8354,1),(8932,1),(9292,1)}
7976:{1,5,7}:{(7389,1),(7524,1),(7542,1),(8353,1)}
7977:{1,5,7}:{(7388,1),(7526,1),(7541,1),(8356,1)}
7978:{1,2,5,6,7}:{(7395,1),(7449,1),(7522,1),(7528,1),(7682,1),(8354,1),(8359,1),(8365,1),(8466,1),(8868,1),(8971,1),(9287,1)}
7979:{1,2,6,7}:{(7393,1),(7450,1),(7523,1),(7531,1),(8356,1),(8357,1)}
7980:{1,2,6,7}:{(7394,1),(7451,1),(7520,1),(7530,1),(8353,1),(8358,1)}
7981:{1,2,5,6,7}:{(7392,1),(7448,1),(7521,1),(7529,1),(7682,1),(8355,1),(8360,1),(8367,1),(8466,1),(8859,1),(8970,1),(9285,1)}
7982:{1,2,6}:{(7399,1),(7452,1),(7535,1),(8359,1),(8363,1)}
7983:{1,2,6}:{(7396,1),(7455,1),(7534,1),(8357,1)}
7984:{1,2,6}:{(7398,1),(7453,1),(7532,1),(8360,1),(8361,1)}
7985:{1,2,6}:{(7397,1),(7454,1),(7533,1),(8358,1)}
7986:{1,2,4,6}:{(7403,1),(7459,1),(7528,1),(7537,1),(8302,1),(8372,1),(8406,1)}
7987:{1,2,4,6}:{(7400,1),(7458,1),(7529,1),(7538,1),(8303,1),(8371,1),(8407,1)}
7988:{1,2,4,6}:{(7401,1),(7457,1),(7531,1),(7539,1),(8304,1),(8370,1),(8405,1),(8962,1)}
7989:{1,2,4,6}:{(7402,1),(7456,1),(7530,1),(7536,1),(8301,1),(8369,1),(8408,1),(8964,1)}
7990:{1,2,4}:{(7404,1),(7463,1),(7533,1),(8411,1)}
7991:{1,2,4}:{(7405,1),(7461,1),(7534,1),(8412,1)}
7992:{1,2,4}:{(7407,1),(7462,1),(7532,1),(8378,1),(8409,1),(9017,1)}
7993:{1,2,4}:{(7406,1),(7460,1),(7535,1),(8380,1),(8410,1),(9020,1)}
7994:{1,2,5,7}:{(7411,1),(7466,1),(7546,1),(7574,1),(8195,1),(8284,1),(8866,1)}
7995:{1,2,5,7}:{(7409,1),(7464,1),(7547,1),(7573,1),(8182,1),(8283,1),(8935,1),(9553,1)}
7996:{1,2,3,5,7}:{(7408,1),(7465,1),(7544,1),(7572,1),(7679,1),(8189,1),(8282,1),(8343,1),(8388,1),(8424,1),(8436,1),(8458,1),(8861,1),(8902,1),(8911,1),(8919,1),(8935,1),(9024,1),(9267,1),(9532,1)}
7997:{1,2,3,5,7}:{(7410,1),(7467,1),(7545,1),(7575,1),(7679,1),(8196,1),(8281,1),(8341,1),(8386,1),(8424,1),(8436,1),(8854,1),(8918,1)}
7998:{1,2,3,5,7}:{(7413,1),(7468,1),(7522,1),(7551,1),(7569,1),(8192,1),(8294,1),(8323,1),(8359,1),(8838,1),(8868,1),(9003,1)}
7999:{1,2,3,5,7}:{(7412,1),(7469,1),(7521,1),(7548,1),(7570,1),(8182,1),(8296,1),(8324,1),(8360,1),(8845,1),(8859,1),(9002,1)}
8000:{1,2,3,5,7}:{(7414,1),(7470,1),(7520,1),(7549,1),(7568,1),(8185,1),(8189,1),(8293,1),(8322,1),(8358,1),(8400,1),(8837,1),(8861,1),(8935,1),(9001,1)}
8001:{1,2,3,5,7}:{(7415,1),(7471,1),(7523,1),(7550,1),(7571,1),(8183,1),(8191,1),(8295,1),(8321,1),(8357,1),(8397,1),(8844,1),(8867,1),(8933,1),(9000,1),(9004,1)}
8002:{1,2,3,5,7}:{(7417,1),(7557,1),(7576,1),(7659,1),(7680,1),(8307,1),(8391,1),(8932,1)}
8003:{1,2,3,5,7}:{(7419,1),(7556,1),(7578,1),(7659,1),(7680,1),(8305,1),(8389,1)}
8004:{1,5,7}:{(7418,1),(7559,1),(7579,1),(8392,1)}
8005:{1,5,7}:{(7416,1),(7558,1),(7577,1),(8308,1),(8390,1)}
8006:{1,2,5,7}:{(7420,1),(7552,1),(7581,1),(7660,1),(8299,1),(8394,1),(9338,1),(9531,1)}
8007:{1,5,7}:{(7421,1),(7554,1),(7583,1),(8395,1),(8450,1),(9336,1)}
8008:{1,5,7}:{(7422,1),(7553,1),(7580,1),(8393,1),(8450,1),(9339,1),(9557,1)}
8009:{1,2,5,7}:{(7423,1),(7555,1),(7582,1),(7660,1),(8300,1),(8396,1),(9325,1),(9515,1)}
8010:{1,2,3,5,6}:{(7429,1),(7477,1),(7529,1),(7561,1),(7693,1),(8303,1),(8395,1),(8402,1),(8407,1),(8450,1),(8469,1),(8949,1),(8953,1),(8976,1),(8984,1)}
8011:{1,2,3,6}:{(7428,1),(7478,1),(7531,1),(7560,1),(8304,1),(8396,1),(8405,1),(8955,1)}
8012:{1,2,3,6}:{(7431,1),(7476,1),(7530,1),(7563,1),(8301,1),(8394,1),(8954,1)}
8013:{1,2,3,5,6}:{(7430,1),(7479,1),(7528,1),(7562,1),(7693,1),(8302,1),(8393,1),(8404,1),(8406,1),(8450,1),(8469,1),(8876,1),(8951,1),(8956,1),(8974,1),(8981,1)}
8014:{1,2,6,7}:{(7426,1),(7481,1),(7565,1),(7695,1),(8240,1),(8392,1)}
8015:{1,2,3,6}:{(7427,1),(7480,1),(7564,1),(7683,1),(8237,1),(8351,1),(8440,1),(8807,1),(8971,1)}
8016:{1,2,6,7}:{(7425,1),(7482,1),(7567,1),(7695,1),(8238,1),(8390,1)}
8017:{1,2,3,6}:{(7424,1),(7483,1),(7566,1),(7683,1),(8239,1),(8352,1),(8440,1),(8811,1),(8970,1)}
8018:{1,2,3,7}:{(7435,1),(7484,1),(7532,1),(8360,1),(8381,1),(8402,1),(8409,1),(9541,1)}
8019:{1,2,3,5,7}:{(7432,1),(7486,1),(7533,1),(7698,1),(8358,1),(8383,1),(8403,1),(8411,1),(8467,1),(8471,1),(8861,1),(8882,1),(8973,1),(9001,1)}
8020:{1,2,3,5,7}:{(7433,1),(7485,1),(7534,1),(7698,1),(8357,1),(8384,1),(8401,1),(8412,1),(8467,1),(8471,1),(8867,1),(8878,1),(8975,1),(9004,1),(9007,1)}
8021:{1,2,3,7}:{(7434,1),(7487,1),(7535,1),(8359,1),(8382,1),(8404,1),(8410,1),(9003,1)}
8022:{1,2,3,7}:{(7491,1),(7536,1),(7631,1),(8322,1),(8337,1),(8408,1),(8411,1),(9531,1)}
8023:{1,2,3,7}:{(7488,1),(7538,1),(7631,1),(8324,1),(8338,1),(8407,1),(8409,1)}
8024:{2,3,7}:{(7490,1),(7539,1),(8321,1),(8340,1),(8405,1),(8412,1),(9515,1)}
8025:{2,3,7}:{(7489,1),(7537,1),(8323,1),(8339,1),(8406,1),(8410,1)}
8026:{5,7}:{(7584,1),(7591,1),(8200,1)}
8027:{5,6}:{(7584,1),(7590,1),(8199,1)}
8028:{4,5}:{(7584,1),(7592,1),(8206,1),(8428,1)}
8029:{4,6}:{(7587,1),(7618,1)}
8030:{4,6}:{(7589,1),(7626,1)}
8031:{4,6,7}:{(7588,1),(7592,1),(7628,1),(8204,1),(8417,1),(8893,1),(9254,1)}
8032:{3,5}:{(7584,1),(7597,1),(8208,1),(8450,1)}
8033:{3,4,5,6}:{(7585,1),(7593,1),(7594,1),(7595,1),(8209,1),(8210,1),(8214,1),(8216,1),(8422,1),(8433,1),(8451,1),(8795,1),(8797,1),(8804,1),(8945,1),(9021,1),(9261,1),(9276,1),(9365,1),(9556,1),(9570,1)}
8034:{3,4,6}:{(7586,1),(7596,1),(7601,1),(8220,1),(8423,1),(8434,1),(8452,1),(8955,1),(9028,1)}
8035:{3,4,6}:{(7590,1),(7599,1),(7627,1),(8218,1),(8421,1),(8443,1),(8453,1),(8956,1),(9023,1)}
8036:{3,4,6,7}:{(7591,1),(7597,1),(7598,1),(7629,1),(8224,1),(8225,1),(8420,1),(8454,1)}
8037:{3,5,7}:{(7602,1),(7607,1),(7639,1),(8422,1)}
8038:{3,5,7}:{(7604,1),(7609,1),(7640,1),(8206,1),(8207,1),(8423,1),(8791,1),(9328,1)}
8039:{3,4,6}:{(7600,1),(7605,1),(7641,1),(8422,1),(8440,1),(8945,1),(9021,1)}
8040:{3,7}:{(7606,1),(7642,1)}
8041:{3,5}:{(7606,1),(7643,1),(8234,1)}
8042:{3,4,6}:{(7606,1),(7608,1),(7644,1),(8235,1),(8236,1),(8425,1),(8441,1)}
8043:{3,5}:{(7608,1),(7645,1),(8233,1)}
8044:{3,4,7}:{(7608,1),(7631,1),(7646,1),(8426,1),(8427,1)}
8045:{2,5,6}:{(7585,1),(7610,1),(7612,1),(8197,1),(8200,1),(8237,1),(8239,1),(8889,1)}
8046:{2,6}:{(7586,1),(7611,1)}
8047:{2,4,5,7}:{(7587,1),(7610,1),(7613,1),(7614,1),(8241,1),(8251,1),(8417,1),(8429,1),(9256,1)}
8048:{2,4,7}:{(7588,1),(7615,1),(7621,1),(8893,1)}
8049:{2,4,5,7}:{(7589,1),(7611,1),(7616,1),(7617,1),(8242,1),(8257,1),(8428,1),(8430,1),(8891,1),(8898,1),(9248,1)}
8050:{2,4,6}:{(7592,1),(7617,1),(7630,1),(8428,1)}
8051:{2,3,5,7}:{(7595,1),(7610,1),(7620,1),(7624,1),(8250,1),(8420,1),(8433,1),(8466,1),(8903,1)}
8052:{2,3,5,7}:{(7596,1),(7611,1),(7622,1),(7625,1),(8259,1),(8434,1),(8467,1)}
8053:{2,3,4,6}:{(7594,1),(7612,1),(7619,1),(7623,1),(8214,1),(8216,1),(8221,1),(8224,1),(8433,1),(8440,1),(8468,1),(8818,1),(8820,1),(8945,1),(9021,1),(9295,1),(9307,1),(9365,1),(9556,1),(9570,1)}
8054:{2,3,5}:{(7602,1),(7632,1),(7668,1),(8419,1)}
8055:{2,3,6,7}:{(7603,1),(7621,1),(7630,1),(7669,1),(8239,1),(8240,1),(8431,1),(8811,1)}
8056:{2,3,5}:{(7604,1),(7633,1),(7670,1),(8432,1)}
8057:{2,3,6}:{(7606,1),(7631,1),(7671,1),(8427,1),(8439,1)}
8058:{2,3,6,7}:{(7607,1),(7632,1),(7634,1),(7672,1),(8436,1),(8440,1),(8918,1)}
8059:{2,3}:{(7608,1),(7673,1)}
8060:{2,3,5,7}:{(7605,1),(7634,1),(7635,1),(7674,1),(8275,1),(8424,1),(8440,1),(8911,1),(8918,1),(9347,1)}
8061:{2,3,4,6}:{(7597,1),(7632,1),(7636,1),(7675,1),(8264,1),(8419,1),(8427,1),(8435,1),(8443,1),(8921,1),(9023,1),(9358,1)}
8062:{2,3,4,6,7}:{(7609,1),(7625,1),(7633,1),(7676,1),(8261,1),(8262,1),(8270,1),(8271,1),(8432,1),(8434,1),(8437,1),(8445,1),(8809,1),(8893,1),(8896,1),(8917,1),(8924,1),(9028,1),(9030,1),(9352,1)}
8063:{2,3,4,7}:{(7598,1),(7634,1),(7637,1),(7677,1),(8256,1),(8276,1),(8425,1)}
8064:{2,3,5,7}:{(7599,1),(7636,1),(7638,1),(7678,1),(8258,1),(8274,1),(8426,1),(8435,1),(8443,1),(9326,1),(9541,1)}
8065:{1,4,5,6}:{(7585,1),(7639,1),(7641,1),(7647,1),(8197,1),(8200,1),(8422,1),(8447,1),(8460,1),(8795,1),(8797,1),(8925,1),(8929,1),(8932,1),(9021,1)}
8066:{1,4,5,6}:{(7586,1),(7640,1),(7658,1),(8418,1),(8423,1),(8448,1),(8452,1),(8461,1),(8938,1),(9028,1)}
8067:{1,4,5,7}:{(7587,1),(7642,1),(7643,1),(7679,1),(8281,1),(8424,1),(8447,1),(8925,1)}
8068:{1,4,7}:{(7588,1),(7644,1),(7689,1),(8425,1),(8893,1)}
8069:{1,4,5,7}:{(7589,1),(7645,1),(7646,1),(7690,1),(8284,1),(8426,1),(8446,1),(8448,1)}
8070:{1,4,6}:{(7592,1),(7646,1),(7692,1),(8419,1),(8427,1),(8446,1),(8964,1),(9023,1)}
8071:{1,5,6}:{(7593,1),(7648,1),(7703,1),(7704,1),(8932,1)}
8072:{1,4,6}:{(7594,1),(7650,1),(7703,1),(7705,1),(9556,1),(9570,1),(9571,1)}
8073:{1,4,5,7}:{(7595,1),(7648,1),(7649,1),(7653,1),(8451,1),(8455,1),(8466,1),(8932,1),(9034,1)}
8074:{1,4,5,7}:{(7596,1),(7652,1),(7654,1),(7660,1),(8452,1),(8457,1),(8467,1)}
8075:{1,4,6}:{(7597,1),(7655,1),(7693,1),(8450,1)}
8076:{1,4,7}:{(7598,1),(7656,1),(7694,1)}
8077:{1,4,5,7}:{(7599,1),(7655,1),(7657,1),(7691,1),(8308,1),(8450,1),(8453,1),(8477,1),(8931,1),(9035,1),(9362,1)}
8078:{1,3,6}:{(7600,1),(7659,1),(7703,1),(7704,1),(8945,1)}
8079:{1,6}:{(7601,1),(7660,1)}
8080:{1,3,5}:{(7602,1),(7649,1),(7665,1),(8325,1),(8450,1),(8951,1)}
8081:{1,3,4,5,6,7}:{(7603,1),(7651,1),(7661,1),(7663,1),(8229,1),(8230,1),(8278,1),(8280,1),(8314,1),(8315,1),(8417,1),(8425,1),(8449,1),(8470,1),(8800,1),(8801,1),(8828,1),(8836,1),(8842,1),(8845,1),(8886,1),(8888,1),(8893,1),(8935,1),(8936,1),(9024,1),(9254,1),(9271,1),(9274,1),(9315,1),(9352,1),(9354,1),(9384,1),(9548,1),(9552,1),(9553,1)}
8082:{1,3,5}:{(7604,1),(7652,1),(7667,1),(8333,1),(9328,1)}
8083:{1,3,4,5,7}:{(7605,1),(7650,1),(7659,1),(7664,1),(7666,1),(8285,1),(8286,1),(8305,1),(8307,1),(8455,1),(8456,1),(8473,1),(8839,1),(8843,1),(8850,1),(8932,1),(9034,1),(9264,1),(9276,1),(9361,1),(9570,1),(9571,1)}
8084:{1,3,4,6,7}:{(7607,1),(7653,1),(7662,1),(7665,1),(7666,1),(8323,1),(8324,1),(8454,1),(8455,1),(8456,1),(8472,1),(8839,1),(8843,1),(8945,1),(8948,1),(8960,1),(9034,1)}
8085:{1,3,4,6,7}:{(7609,1),(7654,1),(7667,1),(7699,1),(8301,1),(8304,1),(8337,1),(8340,1),(8452,1),(8457,1),(8831,1),(8834,1),(8846,1),(8852,1),(8954,1),(8955,1)}
8086:{1,2,5}:{(7584,1),(7675,1),(8428,1),(8435,1),(8446,1),(8450,1)}
8087:{1,2,5,7}:{(7610,1),(7639,1),(7668,1),(7672,1),(8436,1),(8460,1),(8903,1)}
8088:{1,2,5,7}:{(7611,1),(7640,1),(7670,1),(7676,1),(8428,1),(8437,1),(8461,1),(8891,1),(8973,1),(9336,1),(9553,1)}
8089:{1,2,4,6,7}:{(7613,1),(7642,1),(7671,1),(7681,1),(8438,1),(8447,1),(8449,1),(8462,1),(8463,1),(8965,1),(9250,1),(9574,1)}
8090:{1,2,4,5}:{(7614,1),(7643,1),(7668,1),(7671,1),(8348,1),(8369,1),(8419,1),(8439,1),(8446,1),(8897,1),(8964,1),(9338,1)}
8091:{1,2,4,6}:{(7612,1),(7641,1),(7674,1),(7683,1),(8237,1),(8239,1),(8440,1),(8447,1),(8460,1),(8818,1),(8820,1),(8970,1),(8971,1),(9021,1)}
8092:{1,2,4,6}:{(7615,1),(7644,1),(7673,1),(7684,1),(8347,1),(8441,1),(8463,1)}
8093:{1,2,4,5}:{(7616,1),(7645,1),(7670,1),(7673,1),(8346,1),(8378,1),(8432,1),(8442,1),(8899,1),(9017,1),(9336,1)}
8094:{1,2,4,6}:{(7590,1),(7678,1),(7695,1),(8430,1),(8443,1),(8448,1),(8453,1),(8459,1),(8984,1),(9023,1)}
8095:{1,2,4,6,7}:{(7591,1),(7675,1),(7677,1),(7696,1),(8352,1),(8431,1),(8444,1),(8449,1),(8454,1),(8458,1),(9311,1),(9574,1)}
8096:{1,2,4,7}:{(7617,1),(7646,1),(7673,1),(7697,1),(8432,1),(8445,1),(8465,1),(8893,1),(9017,1),(9248,1),(9315,1)}
8097:{1,2,5,6}:{(7618,1),(7647,1),(7679,1),(7683,1),(8353,1),(8447,1)}
8098:{1,2,6}:{(7619,1),(7680,1),(7703,1),(7704,1)}
8099:{1,2,5}:{(7620,1),(7649,1),(7686,1),(8450,1)}
8100:{1,2,5,7}:{(7621,1),(7651,1),(7669,1),(7684,1),(8358,1),(8360,1),(8463,1)}
8101:{1,2,5}:{(7622,1),(7652,1),(7688,1)}
8102:{1,2,4,5,7}:{(7623,1),(7650,1),(7680,1),(7685,1),(7687,1),(8289,1),(8291,1),(8305,1),(8307,1),(8466,1),(8468,1),(8473,1),(8853,1),(8856,1),(8932,1),(9034,1),(9277,1),(9292,1),(9361,1),(9570,1),(9571,1)}
8103:{1,2,4,6,7}:{(7624,1),(7653,1),(7682,1),(7686,1),(7687,1),(8359,1),(8360,1),(8454,1),(8466,1),(8468,1),(8472,1),(8853,1),(8856,1),(8970,1),(8971,1),(9034,1)}
8104:{1,2,4,7}:{(7625,1),(7654,1),(7688,1),(7698,1),(8357,1),(8358,1),(8467,1)}
8105:{1,2,5,6}:{(7626,1),(7658,1),(7690,1),(7695,1),(8394,1),(8395,1),(8448,1),(8938,1),(8984,1)}
8106:{1,6}:{(7627,1),(7691,1)}
8107:{1,2,3,5,6,7}:{(7628,1),(7661,1),(7681,1),(7689,1),(7692,1),(7696,1),(8385,1),(8388,1),(8400,1),(8436,1),(8438,1),(8449,1),(8458,1),(8888,1),(8912,1),(8935,1),(8999,1),(9024,1),(9271,1),(9574,1)}
8108:{1,2,3,6,7}:{(7629,1),(7662,1),(7682,1),(7693,1),(7694,1),(8389,1),(8392,1),(8454,1)}
8109:{1,2,3,5,6}:{(7630,1),(7663,1),(7684,1),(7697,1),(8265,1),(8268,1),(8402,1),(8403,1),(8428,1),(8441,1),(8461,1),(8465,1),(8882,1),(8907,1),(8973,1),(8976,1),(8984,1),(9030,1),(9031,1)}
8110:{1,2,3,6}:{(7632,1),(7665,1),(7686,1),(7701,1),(8406,1),(8469,1),(8877,1),(8881,1)}
8111:{1,2,3,6}:{(7633,1),(7667,1),(7688,1),(7698,1),(8411,1),(8412,1),(8471,1),(8883,1)}
8112:{1,2,3,7}:{(7634,1),(7666,1),(7687,1),(7700,1),(8323,1),(8324,1),(8359,1),(8360,1),(9003,1)}
8113:{1,2,3,5}:{(7635,1),(7664,1),(7685,1),(7700,1),(8325,1),(8327,1),(8361,1),(8363,1),(8414,1),(8870,1),(8877,1),(8881,1)}
8114:{1,2,3,4,7}:{(7636,1),(7655,1),(7701,1),(7702,1),(8338,1),(8339,1),(8381,1),(8382,1),(8474,1),(8477,1),(9362,1),(9539,1),(9541,1)}
8115:{1,2,3,4,6}:{(7637,1),(7656,1),(7700,1),(7702,1),(8329,1),(8331,1),(8373,1),(8374,1),(8413,1),(8416,1),(8476,1)}
8116:{1,2,3,5}:{(7638,1),(7657,1),(7702,1),(8334,1),(8336,1),(8378,1),(8380,1),(8415,1)}
8117:{4,7}:{(7715,1),(7734,1),(8488,1),(8508,1)}
8118:{4,5,7}:{(7711,1),(7737,1),(7807,1),(8487,1),(8501,1),(8584,1)}
8119:{3,4,7}:{(7718,1),(7731,1),(7790,1),(8502,1),(8524,1),(8594,1)}
8120:{4,5,7}:{(7706,1),(7728,1),(7806,1),(8482,1),(8750,1),(9139,1)}
8121:{3,4,7}:{(7720,1),(7729,1),(7792,1),(8489,1),(8500,1),(8517,1)}
8122:{4,5,7}:{(7721,1),(7732,1),(7806,1),(8483,1),(8506,1)}
8123:{3,4,5,7}:{(7713,1),(7722,1),(7793,1),(7808,1),(8490,1),(8503,1),(8521,1),(8595,1),(9165,1),(9401,1)}
8124:{3,4,5,7}:{(7710,1),(7733,1),(7791,1),(7808,1),(8481,1),(8519,1),(8750,1),(9139,1),(9180,1),(9418,1)}
8125:{3,4,7}:{(7719,1),(7736,1),(7790,1),(8520,1),(8594,1)}
8126:{4,7}:{(7717,1),(7727,1),(8505,1)}
8127:{3,4,5,7}:{(7707,1),(7726,1),(7793,1),(7809,1),(8485,1),(8522,1),(8583,1),(8595,1)}
8128:{4,7}:{(7716,1),(7725,1),(8479,1)}
8129:{4,7}:{(7712,1),(7735,1)}
8130:{3,4,5,7}:{(7708,1),(7730,1),(7791,1),(7809,1),(8493,1),(8494,1),(8512,1),(8583,1),(9151,1),(9494,1)}
8131:{4,5,7}:{(7709,1),(7723,1),(7807,1),(8484,1),(8584,1)}
8132:{3,4,7}:{(7714,1),(7724,1),(7792,1),(8478,1),(8525,1),(8750,1),(9402,1)}
8133:{2,3,4,6}:{(7719,1),(7839,1),(7851,1),(7868,1),(8498,1),(8552,1),(8605,1),(8632,1),(9137,1)}
8134:{2,3}:{(7720,1),(7841,1),(8545,1)}
8135:{2,5,6}:{(7721,1),(7864,1),(7869,1),(8506,1),(8609,1),(8618,1)}
8136:{2,4,5,6}:{(7709,1),(7851,1),(7863,1),(7866,1),(8499,1),(8605,1),(8607,1),(8619,1),(9046,1),(9156,1)}
8137:{2}:{(7715,1)}
8138:{2,4}:{(7716,1),(7853,1)}
8139:{2,4,6}:{(7712,1),(7852,1),(7866,1),(8495,1),(8603,1)}
8140:{2,3,4,5}:{(7710,1),(7840,1),(7853,1),(7862,1),(8554,1),(8602,1),(8606,1),(8633,1),(9126,1),(9169,1)}
8141:{2,3,5}:{(7708,1),(7840,1),(7865,1),(8557,1)}
8142:{2,3,5,6}:{(7713,1),(7838,1),(7862,1),(7867,1),(8503,1),(8543,1),(8606,1),(8620,1)}
8143:{2,3,4,5,6}:{(7707,1),(7838,1),(7852,1),(7865,1),(7868,1),(8497,1),(8555,1),(8603,1),(8608,1),(8621,1),(8631,1),(9051,1),(9131,1),(9157,1),(9167,1),(9501,1)}
8144:{2,3,6}:{(7718,1),(7839,1),(7867,1),(8502,1),(8549,1)}
8145:{2,3,4}:{(7714,1),(7841,1),(7850,1),(8550,1),(8604,1),(8630,1)}
8146:{2,6}:{(7717,1),(7869,1),(8505,1)}
8147:{2,5}:{(7711,1),(7863,1)}
8148:{2,4,5}:{(7706,1),(7850,1),(7864,1),(8604,1),(8609,1)}
8149:{3,5,6,7}:{(7727,1),(7740,1),(7880,1),(7884,1),(8480,1),(8565,1),(8578,1),(9087,1)}
8150:{2,3,5,6}:{(7724,1),(7744,1),(7825,1),(7878,1),(8478,1),(8580,1),(8610,1),(8752,1),(9056,1),(9143,1),(9162,1)}
8151:{2,3,6,7}:{(7736,1),(7738,1),(7823,1),(7882,1),(8492,1),(8562,1),(9406,1)}
8152:{2,3,6,7}:{(7723,1),(7741,1),(7823,1),(7885,1),(8484,1),(8560,1),(9088,1)}
8153:{2,3,5,6}:{(7733,1),(7742,1),(7824,1),(7881,1),(8481,1),(8579,1),(8612,1),(8752,1),(9146,1),(9160,1)}
8154:{2,3,5,6}:{(7725,1),(7745,1),(7824,1),(7878,1),(8479,1),(8580,1),(8612,1),(9043,1),(9456,1)}
8155:{3,5,6,7}:{(7732,1),(7753,1),(7879,1),(7884,1),(8483,1),(8563,1),(9080,1)}
8156:{3,5,6,7}:{(7722,1),(7750,1),(7879,1),(7883,1),(8490,1),(8573,1),(9401,1)}
8157:{3,6}:{(7734,1),(7746,1),(8488,1),(9414,1)}
8158:{2,3,5,6}:{(7728,1),(7747,1),(7825,1),(7881,1),(8482,1),(8579,1),(8610,1),(9053,1)}
8159:{2,3,6,7}:{(7735,1),(7749,1),(7822,1),(7885,1),(8486,1),(8569,1),(9090,1)}
8160:{3,6}:{(7729,1),(7748,1)}
8161:{3,5,6,7}:{(7731,1),(7752,1),(7880,1),(7883,1),(8491,1),(8564,1),(8578,1)}
8162:{3,6}:{(7730,1),(7743,1)}
8163:{2,3,6,7}:{(7726,1),(7739,1),(7822,1),(7882,1),(8485,1),(8558,1)}
8164:{3,6}:{(7737,1),(7751,1),(8487,1)}
8165:{1,4,5}:{(7708,1),(7767,1),(7925,1),(8557,1),(8643,1)}
8166:{1,4,5,6}:{(7713,1),(7765,1),(7922,1),(7926,1),(8521,1),(8530,1),(8543,1),(8645,1),(8654,1),(9130,1),(9502,1)}
8167:{1,4,5,6}:{(7709,1),(7761,1),(7924,1),(7929,1),(8513,1),(8539,1),(8644,1),(8656,1),(9071,1),(9186,1),(9429,1)}
8168:{1,4,5}:{(7706,1),(7756,1),(7923,1),(8531,1),(8773,1)}
8169:{1,4}:{(7720,1),(7766,1),(8545,1)}
8170:{1,4,6}:{(7712,1),(7763,1),(7929,1),(8514,1),(8533,1)}
8171:{1,4,6}:{(7717,1),(7764,1),(7927,1),(8511,1),(8529,1),(8544,1),(9123,1)}
8172:{1,4}:{(7714,1),(7760,1)}
8173:{1,4}:{(7715,1),(7755,1),(8527,1),(8548,1)}
8174:{1,4,5}:{(7711,1),(7768,1),(7924,1),(8532,1),(8546,1),(8644,1),(9431,1)}
8175:{1,4,6}:{(7719,1),(7762,1),(7928,1),(8520,1),(8536,1)}
8176:{1,4}:{(7716,1),(7769,1),(8537,1)}
8177:{1,4,5}:{(7710,1),(7758,1),(7922,1),(8773,1)}
8178:{1,4,6}:{(7718,1),(7757,1),(7926,1),(8524,1),(8540,1),(8549,1)}
8179:{1,4,5,6}:{(7707,1),(7759,1),(7925,1),(7928,1),(8522,1),(8528,1),(8643,1),(8657,1),(9069,1),(9183,1)}
8180:{1,4,5,6}:{(7721,1),(7754,1),(7923,1),(7927,1),(8518,1),(8535,1),(8542,1),(8642,1),(8655,1),(9128,1),(9506,1)}
8181:{1,2,3,5,7}:{(7733,1),(7758,1),(7785,1),(7945,1),(7974,1),(8519,1),(8568,1),(8670,1),(8701,1),(8771,1),(9174,1),(9192,1),(9210,1)}
8182:{1,5,7}:{(7722,1),(7765,1),(7783,1)}
8183:{1,2,5,7}:{(7723,1),(7761,1),(7772,1),(7943,1),(8513,1),(8560,1),(9484,1)}
8184:{1,5,7}:{(7727,1),(7764,1),(7778,1),(8511,1),(9491,1)}
8185:{1,2,5,7}:{(7726,1),(7759,1),(7776,1),(7942,1),(8522,1),(8558,1)}
8186:{1,2,3,5,7}:{(7728,1),(7756,1),(7770,1),(7944,1),(7975,1),(8510,1),(8571,1),(8673,1),(8699,1),(8771,1),(9112,1),(9173,1),(9194,1),(9210,1)}
8187:{1,2,5,7}:{(7735,1),(7763,1),(7779,1),(7942,1),(8514,1),(8569,1),(9073,1)}
8188:{1,2,5,7}:{(7736,1),(7762,1),(7780,1),(7943,1),(8520,1),(8562,1),(9066,1)}
8189:{1,3,5,7}:{(7730,1),(7767,1),(7771,1),(7976,1),(8512,1),(8559,1),(9494,1)}
8190:{1,2,3,5,7}:{(7724,1),(7760,1),(7784,1),(7944,1),(7974,1),(8525,1),(8566,1),(8670,1),(8699,1),(9114,1),(9462,1)}
8191:{1,3,5,7}:{(7737,1),(7768,1),(7774,1),(7977,1),(8516,1),(8567,1),(8671,1)}
8192:{1,5,7}:{(7732,1),(7754,1),(7775,1)}
8193:{1,3,5,7}:{(7734,1),(7755,1),(7782,1),(7977,1),(8523,1),(8572,1),(8671,1),(9064,1)}
8194:{1,2,3,5,7}:{(7725,1),(7769,1),(7777,1),(7945,1),(7975,1),(8515,1),(8570,1),(8673,1),(8701,1),(9107,1),(9456,1)}
8195:{1,5,7}:{(7731,1),(7757,1),(7781,1),(8524,1)}
8196:{1,3,5,7}:{(7729,1),(7766,1),(7773,1),(7976,1),(8517,1),(8561,1),(9072,1)}
8197:{5}:{(7796,1)}
8198:{5,6,7}:{(7797,1),(8026,1),(8027,1)}
8199:{5,7}:{(7794,1),(8027,1)}
8200:{5,6}:{(7795,1),(8026,1)}
8201:{4,6,7}:{(7793,1),(7875,1),(8030,1)}
8202:{4,6,7}:{(7790,1),(7877,1),(8030,1),(8574,1),(9140,1)}
8203:{4,6}:{(7792,1),(7874,1),(8575,1)}
8204:{4,6}:{(7791,1),(7876,1)}
8205:{3,4,5}:{(7817,1),(8028,1),(8032,1),(8606,1),(8645,1),(8751,1),(8753,1)}
8206:{3,5}:{(7814,1),(8028,1),(8643,1)}
8207:{5}:{(7815,1)}
8208:{4,5}:{(7816,1),(8032,1),(8609,1)}
8209:{3,4,6}:{(7788,1),(7801,1),(7824,1),(8479,1),(8612,1),(8647,1)}
8210:{3,4,6}:{(7787,1),(7800,1),(7825,1),(8482,1),(8610,1),(8648,1)}
8211:{3,4,6,7}:{(7789,1),(7799,1),(7823,1),(8034,1),(8484,1),(8590,1),(8611,1),(8646,1),(9088,1),(9149,1)}
8212:{3,4,6,7}:{(7786,1),(7798,1),(7822,1),(8034,1),(8486,1),(8593,1),(8613,1),(8649,1),(9090,1),(9148,1)}
8213:{3,4,6}:{(7805,1),(7842,1),(8029,1),(8616,1),(8650,1),(8752,1)}
8214:{4,6}:{(7804,1),(7844,1)}
8215:{4,6}:{(7802,1),(7843,1),(8614,1)}
8216:{3,4,6}:{(7803,1),(7845,1),(8029,1),(8653,1),(8752,1)}
8217:{3,4,6}:{(7813,1),(7883,1),(8030,1),(8620,1),(8654,1),(8754,1)}
8218:{4,6}:{(7812,1),(7884,1),(8618,1)}
8219:{3,4,6}:{(7810,1),(7882,1),(8030,1),(8586,1),(8657,1),(8754,1)}
8220:{4,6}:{(7811,1),(7885,1),(8587,1)}
8221:{3,4,6}:{(7796,1),(7819,1),(7878,1),(8479,1),(8580,1),(8660,1)}
8222:{3,4,6,7}:{(7797,1),(7821,1),(7879,1),(8035,1),(8483,1),(8581,1),(8636,1),(8659,1),(9080,1),(9141,1)}
8223:{3,4,6,7}:{(7794,1),(7820,1),(7880,1),(8035,1),(8480,1),(8578,1),(8637,1),(8658,1),(9087,1),(9140,1),(9417,1)}
8224:{3,4,6}:{(7795,1),(7818,1),(7881,1),(8482,1),(8579,1),(8661,1)}
8225:{4,6,7}:{(7806,1),(7816,1),(7887,1),(8482,1),(8585,1),(8750,1)}
8226:{4,6,7}:{(7807,1),(7815,1),(7889,1),(8487,1),(8584,1)}
8227:{3,4,6,7}:{(7809,1),(7814,1),(7888,1),(8031,1),(8493,1),(8583,1),(8664,1)}
8228:{3,4,6,7}:{(7808,1),(7817,1),(7886,1),(8031,1),(8481,1),(8582,1),(8663,1),(8750,1),(9141,1),(9165,1),(9180,1),(9416,1)}
8229:{3,5,7}:{(7826,1),(7832,1),(7899,1)}
8230:{3,4,5,7}:{(7827,1),(7831,1),(7900,1),(8037,1),(8592,1),(8628,1),(8750,1)}
8231:{3,5,7}:{(7829,1),(7830,1),(7901,1),(8584,1),(8594,1)}
8232:{3,4,5,7}:{(7828,1),(7833,1),(7898,1),(8037,1),(8585,1),(8591,1),(8597,1),(8626,1),(8750,1)}
8233:{3,6}:{(7904,1),(8043,1),(8594,1)}
8234:{3,4}:{(7902,1),(8041,1),(8630,1)}
8235:{3,4,5}:{(7903,1),(8041,1),(8042,1),(8633,1),(8753,1),(8756,1)}
8236:{3,5,6}:{(7905,1),(8042,1),(8043,1),(8595,1),(8753,1),(8754,1)}
8237:{2,6}:{(7787,1),(7836,1)}
8238:{2,6,7}:{(7789,1),(7835,1),(8046,1)}
8239:{2,6}:{(7788,1),(7837,1)}
8240:{2,6,7}:{(7786,1),(7834,1),(8046,1)}
8241:{2,4,7}:{(7792,1),(7836,1),(7841,1),(8500,1),(8600,1)}
8242:{2,4,7}:{(7790,1),(7835,1),(7839,1),(8502,1)}
8243:{2,4,5,7}:{(7791,1),(7837,1),(7840,1),(8048,1),(8494,1),(8599,1),(8757,1),(9151,1)}
8244:{2,4,5,7}:{(7793,1),(7834,1),(7838,1),(8048,1),(8503,1),(8598,1),(8757,1)}
8245:{2,3,5,7}:{(7799,1),(7835,1),(7846,1),(7851,1),(8498,1),(8499,1),(8611,1),(8700,1)}
8246:{2,3,5,7}:{(7801,1),(7837,1),(7848,1),(7853,1),(8496,1),(8612,1),(8701,1),(9043,1),(9107,1),(9456,1)}
8247:{2,3,5,7}:{(7798,1),(7834,1),(7849,1),(7852,1),(8495,1),(8613,1),(8698,1),(9052,1),(9117,1)}
8248:{2,3,5,7}:{(7800,1),(7836,1),(7847,1),(7850,1),(8507,1),(8509,1),(8610,1),(8699,1),(9056,1)}
8249:{2,5,7}:{(7802,1),(7857,1),(7859,1),(8508,1),(8584,1),(8614,1)}
8250:{2,4,5,7}:{(7804,1),(7855,1),(7861,1),(8051,1),(8496,1),(8585,1),(8615,1),(8750,1),(9486,1)}
8251:{2,3,5,7}:{(7805,1),(7856,1),(7860,1),(8047,1),(8500,1),(8583,1),(8616,1),(8704,1),(9415,1)}
8252:{2,3,4,5,7}:{(7803,1),(7854,1),(7858,1),(8047,1),(8051,1),(8509,1),(8582,1),(8617,1),(8703,1),(8750,1),(8764,1),(9153,1),(9180,1)}
8253:{2,3,4,7}:{(7808,1),(7848,1),(7862,1),(8048,1),(8503,1),(8708,1),(8765,1),(9165,1)}
8254:{2,3,4,7}:{(7809,1),(7849,1),(7865,1),(8048,1),(8494,1),(8709,1),(8765,1)}
8255:{2,4,7}:{(7807,1),(7846,1),(7863,1),(8501,1)}
8256:{2,4,7}:{(7806,1),(7847,1),(7864,1),(8506,1)}
8257:{2,3,5,7}:{(7813,1),(7867,1),(7872,1),(8049,1),(8502,1),(8606,1),(8620,1),(8713,1)}
8258:{2,5,7}:{(7812,1),(7869,1),(7870,1),(8505,1),(8609,1),(8618,1)}
8259:{2,4,5,7}:{(7811,1),(7866,1),(7871,1),(8052,1),(8495,1),(8607,1),(8619,1),(8759,1),(9052,1)}
8260:{2,3,4,5,7}:{(7810,1),(7868,1),(7873,1),(8049,1),(8052,1),(8498,1),(8608,1),(8621,1),(8711,1),(8759,1),(8766,1),(9055,1),(9167,1),(9234,1),(9413,1)}
8261:{2,4,6}:{(7815,1),(7871,1),(7892,1),(8605,1),(8607,1)}
8262:{2,3,4,6}:{(7814,1),(7873,1),(7891,1),(8050,1),(8603,1),(8608,1),(8715,1),(9131,1)}
8263:{2,3,4,6}:{(7817,1),(7872,1),(7893,1),(8050,1),(8602,1),(8606,1),(8620,1),(8717,1),(9126,1),(9158,1),(9505,1)}
8264:{2,4,6}:{(7816,1),(7870,1),(7890,1),(8604,1),(8609,1),(8618,1)}
8265:{2,3,5}:{(7827,1),(7893,1),(7965,1),(8602,1)}
8266:{2,3,5}:{(7828,1),(7890,1),(7964,1),(8604,1),(8609,1),(8630,1)}
8267:{2,3,5,6}:{(7829,1),(7892,1),(7962,1),(8056,1),(8605,1),(8607,1),(8627,1),(8632,1),(9046,1),(9170,1),(9405,1)}
8268:{2,3,5,6}:{(7826,1),(7891,1),(7963,1),(8056,1),(8603,1),(8608,1),(8629,1)}
8269:{2,3,6,7}:{(7831,1),(7848,1),(7893,1),(7968,1),(8612,1),(8628,1),(8765,1),(9107,1),(9160,1)}
8270:{2,3,6,7}:{(7832,1),(7849,1),(7891,1),(7969,1),(8629,1),(8765,1),(9117,1)}
8271:{2,3,6,7}:{(7830,1),(7846,1),(7892,1),(7966,1),(8623,1),(8627,1),(9405,1)}
8272:{2,3,6,7}:{(7833,1),(7847,1),(7890,1),(7967,1),(8610,1),(8622,1),(8626,1)}
8273:{2,3,4,5,7}:{(7818,1),(7897,1),(7971,1),(8060,1),(8063,1),(8507,1),(8596,1),(8635,1),(8750,1),(8760,1),(9139,1),(9166,1),(9404,1)}
8274:{2,3,7}:{(7820,1),(7894,1),(7970,1),(8505,1),(8594,1)}
8275:{2,3,4,7}:{(7819,1),(7895,1),(7972,1),(8060,1),(8496,1),(8597,1),(8634,1),(8750,1),(9402,1)}
8276:{2,3,5,7}:{(7821,1),(7896,1),(7973,1),(8063,1),(8506,1),(8595,1),(8636,1)}
8277:{1,4,5,6}:{(7787,1),(7898,1),(7941,1),(8575,1),(8591,1),(8641,1),(8648,1),(8693,1),(9068,1)}
8278:{1,4,5,6,7}:{(7786,1),(7899,1),(7938,1),(8066,1),(8576,1),(8593,1),(8640,1),(8649,1),(8690,1),(9059,1),(9148,1)}
8279:{1,4,5,6,7}:{(7789,1),(7901,1),(7939,1),(8066,1),(8574,1),(8590,1),(8638,1),(8646,1),(8692,1),(9066,1),(9149,1),(9447,1)}
8280:{1,4,5,6}:{(7788,1),(7900,1),(7940,1),(8577,1),(8592,1),(8639,1),(8647,1),(8691,1),(9430,1)}
8281:{1,4,7}:{(7792,1),(7902,1),(7997,1),(8597,1),(8641,1),(8750,1)}
8282:{1,4,5,7}:{(7791,1),(7903,1),(7996,1),(8068,1),(8596,1),(8639,1),(8750,1),(9139,1),(9151,1),(9179,1),(9430,1)}
8283:{1,4,5,7}:{(7793,1),(7905,1),(7995,1),(8068,1),(8595,1),(8640,1)}
8284:{1,4,7}:{(7790,1),(7904,1),(7994,1),(8594,1)}
8285:{1,4,5,7}:{(7801,1),(7909,1),(7912,1),(7945,1),(8515,1),(8647,1),(8701,1),(9067,1)}
8286:{1,4,5,7}:{(7800,1),(7908,1),(7913,1),(7944,1),(8525,1),(8648,1),(8699,1),(9068,1)}
8287:{1,4,5,7}:{(7798,1),(7907,1),(7910,1),(7942,1),(8514,1),(8649,1),(8666,1),(8698,1),(9073,1),(9200,1)}
8288:{1,4,5,7}:{(7799,1),(7906,1),(7911,1),(7943,1),(8520,1),(8646,1),(8668,1),(8700,1),(9066,1),(9201,1)}
8289:{1,4,5,7}:{(7803,1),(7915,1),(7920,1),(7974,1),(8525,1),(8653,1),(8670,1),(9068,1)}
8290:{1,4,5,7}:{(7805,1),(7916,1),(7921,1),(7976,1),(8517,1),(8650,1),(8672,1),(8704,1),(9072,1),(9179,1),(9430,1)}
8291:{1,4,5,7}:{(7804,1),(7917,1),(7918,1),(7975,1),(8515,1),(8652,1),(8673,1),(9067,1)}
8292:{1,4,5,7}:{(7802,1),(7914,1),(7919,1),(7977,1),(8523,1),(8651,1),(8671,1),(8702,1),(9064,1),(9181,1),(9431,1)}
8293:{1,4,7}:{(7809,1),(7925,1),(8000,1)}
8294:{1,4,7}:{(7806,1),(7923,1),(7998,1),(8677,1)}
8295:{1,4,7}:{(7807,1),(7924,1),(8001,1),(8674,1),(9181,1)}
8296:{1,4,7}:{(7808,1),(7922,1),(7999,1)}
8297:{1,4,5,7}:{(7813,1),(7926,1),(7933,1),(8007,1),(8524,1),(8645,1),(8654,1),(8679,1),(8713,1)}
8298:{1,4,5,7}:{(7812,1),(7927,1),(7931,1),(8008,1),(8511,1),(8642,1),(8655,1),(8681,1),(8712,1),(9233,1)}
8299:{1,4,5,7}:{(7810,1),(7928,1),(7932,1),(8006,1),(8520,1),(8643,1),(8657,1),(8678,1),(9066,1),(9183,1),(9420,1)}
8300:{1,4,5,7}:{(7811,1),(7929,1),(7930,1),(8009,1),(8514,1),(8644,1),(8656,1),(8680,1),(9073,1),(9186,1),(9425,1)}
8301:{1,4,6}:{(7814,1),(7932,1),(8012,1),(8643,1)}
8302:{1,4,6}:{(7816,1),(7931,1),(8013,1),(8642,1),(8683,1),(8773,1),(9128,1)}
8303:{1,4,6}:{(7817,1),(7933,1),(8010,1),(8645,1),(8773,1)}
8304:{1,4,6}:{(7815,1),(7930,1),(8011,1),(8644,1),(8684,1)}
8305:{1,4,5,7}:{(7818,1),(7934,1),(8003,1),(8076,1),(8661,1),(8771,1)}
8306:{1,4,5,7}:{(7821,1),(7936,1),(8004,1),(8076,1),(8659,1),(8748,1),(8771,1)}
8307:{1,4,7}:{(7819,1),(7935,1),(8002,1),(8660,1)}
8308:{1,4,7}:{(7820,1),(7937,1),(8005,1),(8746,1)}
8309:{1,6,7}:{(7823,1),(7943,1),(8079,1)}
8310:{1,3,5,6}:{(7825,1),(7944,1),(8071,1),(8078,1),(8648,1)}
8311:{1,3,5,6}:{(7824,1),(7945,1),(8071,1),(8078,1),(8647,1)}
8312:{1,6,7}:{(7822,1),(7942,1),(8079,1)}
8313:{1,3,4,6,7}:{(7833,1),(7908,1),(7948,1),(7951,1),(8648,1),(8662,1),(8667,1),(8677,1),(8721,1),(9084,1)}
8314:{1,3,4,6,7}:{(7831,1),(7909,1),(7947,1),(7953,1),(8647,1),(8663,1),(8669,1),(8675,1),(8720,1),(9079,1),(9428,1)}
8315:{1,3,4,6,7}:{(7832,1),(7907,1),(7946,1),(7952,1),(8649,1),(8664,1),(8666,1),(8676,1),(8719,1),(9078,1),(9200,1)}
8316:{1,3,4,6,7}:{(7830,1),(7906,1),(7949,1),(7950,1),(8646,1),(8665,1),(8668,1),(8674,1),(8718,1),(9088,1),(9201,1),(9477,1)}
8317:{1,3,5,6}:{(7829,1),(7911,1),(7950,1),(8082,1),(8536,1),(8539,1),(8644,1),(8668,1),(9071,1),(9507,1)}
8318:{1,3,4,5}:{(7828,1),(7913,1),(7951,1),(8080,1),(8531,1),(8534,1),(8642,1),(8725,1),(8773,1)}
8319:{1,3,4,5}:{(7827,1),(7912,1),(7953,1),(8080,1),(8537,1),(8645,1),(8723,1),(8773,1),(9184,1)}
8320:{1,3,5,6}:{(7826,1),(7910,1),(7952,1),(8082,1),(8533,1),(8643,1),(8666,1),(9069,1)}
8321:{3,7}:{(7914,1),(7956,1)}
8322:{1,3,7}:{(7916,1),(7955,1),(8040,1)}
8323:{3,7}:{(7917,1),(7954,1)}
8324:{1,3,7}:{(7915,1),(7957,1),(8040,1)}
8325:{3,5}:{(7918,1),(7954,1),(8537,1)}
8326:{1,3,5}:{(7921,1),(7955,1),(8041,1),(8526,1)}
8327:{1,3,5}:{(7920,1),(7957,1),(8041,1),(8534,1)}
8328:{3,5}:{(7919,1),(7956,1),(8527,1)}
8329:{1,3,4,6}:{(7922,1),(7957,1),(7960,1),(8042,1),(8530,1),(8541,1),(8675,1),(8735,1),(9130,1)}
8330:{1,3,4,6}:{(7925,1),(7955,1),(7961,1),(8042,1),(8528,1),(8538,1),(8676,1),(8736,1)}
8331:{3,4,6}:{(7923,1),(7954,1),(7958,1),(8531,1),(8535,1),(8677,1),(8734,1),(9128,1)}
8332:{3,4,6}:{(7924,1),(7956,1),(7959,1),(8532,1),(8539,1),(8674,1),(8737,1)}
8333:{3,5}:{(7929,1),(7959,1),(8533,1)}
8334:{1,3,5}:{(7926,1),(7960,1),(8043,1),(8540,1)}
8335:{1,3,5}:{(7928,1),(7961,1),(8043,1),(8536,1)}
8336:{3,5}:{(7927,1),(7958,1),(8529,1)}
8337:{1,3,4,7}:{(7932,1),(7961,1),(8022,1),(8044,1),(8678,1),(8685,1),(9420,1)}
8338:{1,3,4,7}:{(7933,1),(7960,1),(8023,1),(8044,1),(8679,1),(8682,1)}
8339:{3,4,7}:{(7931,1),(7958,1),(8025,1),(8681,1),(8683,1)}
8340:{3,4,7}:{(7930,1),(7959,1),(8024,1),(8680,1),(8684,1),(9425,1)}
8341:{1,2,5,7}:{(7836,1),(7898,1),(7964,1),(7967,1),(8626,1),(8693,1),(8696,1)}
8342:{1,2,5,7}:{(7834,1),(7899,1),(7963,1),(7969,1),(8629,1),(8757,1),(9052,1)}
8343:{1,2,5,7}:{(7837,1),(7900,1),(7965,1),(7968,1),(8628,1),(8691,1),(8757,1),(9043,1)}
8344:{1,2,5,7}:{(7835,1),(7901,1),(7962,1),(7966,1),(8627,1),(8695,1),(9488,1)}
8345:{1,2,4,5,6}:{(7838,1),(7905,1),(7963,1),(8092,1),(8093,1),(8543,1),(8603,1),(8631,1),(8697,1),(8776,1),(8778,1),(9130,1),(9157,1),(9502,1)}
8346:{1,2,4,6}:{(7839,1),(7904,1),(7962,1),(8093,1),(8549,1),(8605,1),(8632,1),(8695,1),(9136,1)}
8347:{1,2,4,5}:{(7840,1),(7903,1),(7965,1),(8092,1),(8557,1),(8602,1),(8633,1),(9132,1)}
8348:{1,2,4}:{(7841,1),(7902,1),(7964,1),(8545,1),(8604,1),(8630,1)}
8349:{1,2,4,6,7}:{(7797,1),(7973,1),(8014,1),(8094,1),(8598,1),(8636,1),(8640,1),(8659,1),(8687,1),(9105,1),(9141,1)}
8350:{1,2,4,6,7}:{(7794,1),(7970,1),(8016,1),(8094,1),(8601,1),(8637,1),(8638,1),(8658,1),(8689,1),(9100,1),(9140,1),(9443,1)}
8351:{1,2,4,6}:{(7796,1),(7972,1),(8015,1),(8600,1),(8634,1),(8641,1),(8660,1),(8686,1)}
8352:{1,2,4,6}:{(7795,1),(7971,1),(8017,1),(8599,1),(8635,1),(8639,1),(8661,1),(8688,1)}
8353:{1,6}:{(7842,1),(7976,1)}
8354:{1,2,5,6}:{(7844,1),(7975,1),(8071,1),(8098,1),(8652,1)}
8355:{1,2,5,6}:{(7845,1),(7974,1),(8071,1),(8098,1),(8653,1)}
8356:{1,6}:{(7843,1),(7977,1)}
8357:{1,2,7}:{(7846,1),(7906,1),(7983,1)}
8358:{1,2,7}:{(7849,1),(7907,1),(7985,1)}
8359:{1,2,7}:{(7847,1),(7908,1),(7982,1)}
8360:{1,2,7}:{(7848,1),(7909,1),(7984,1)}
8361:{1,2,5}:{(7853,1),(7912,1),(7984,1),(8556,1)}
8362:{1,2,5,6}:{(7851,1),(7911,1),(7983,1),(8101,1),(8552,1),(8700,1),(8781,1)}
8363:{1,2,5}:{(7850,1),(7913,1),(7982,1),(8550,1)}
8364:{1,2,5,6}:{(7852,1),(7910,1),(7985,1),(8101,1),(8551,1),(8698,1),(8781,1)}
8365:{1,2,4,6,7}:{(7855,1),(7917,1),(7978,1),(7986,1),(8652,1),(8662,1),(8705,1),(8706,1),(8728,1),(9094,1)}
8366:{1,2,4,6,7}:{(7857,1),(7914,1),(7979,1),(7988,1),(8651,1),(8665,1),(8702,1),(8707,1),(8727,1),(9095,1),(9181,1),(9480,1)}
8367:{1,2,4,6,7}:{(7854,1),(7915,1),(7981,1),(7987,1),(8653,1),(8663,1),(8703,1),(8708,1),(8729,1),(9099,1)}
8368:{1,2,4,6,7}:{(7856,1),(7916,1),(7980,1),(7989,1),(8650,1),(8664,1),(8704,1),(8709,1),(8726,1),(9106,1),(9179,1),(9478,1)}
8369:{1,2,5}:{(7860,1),(7921,1),(7989,1),(8545,1),(8643,1)}
8370:{1,2,5}:{(7859,1),(7919,1),(7988,1),(8548,1),(8644,1),(8732,1)}
8371:{1,2,4,5}:{(7858,1),(7920,1),(7987,1),(8099,1),(8550,1),(8645,1),(8733,1),(8773,1)}
8372:{1,2,4,5}:{(7861,1),(7918,1),(7986,1),(8099,1),(8556,1),(8642,1),(8730,1),(8773,1)}
8373:{1,2,4,6}:{(7862,1),(7922,1),(7984,1),(7992,1),(8543,1),(8554,1),(8708,1),(8735,1),(9130,1)}
8374:{1,2,4,6}:{(7864,1),(7923,1),(7982,1),(7993,1),(8542,1),(8553,1),(8706,1),(8734,1),(9128,1)}
8375:{1,2,4,6}:{(7863,1),(7924,1),(7983,1),(7991,1),(8546,1),(8707,1),(8737,1),(9095,1),(9125,1),(9480,1)}
8376:{1,2,4,6}:{(7865,1),(7925,1),(7985,1),(7990,1),(8557,1),(8709,1),(8736,1),(9106,1),(9132,1)}
8377:{1,2,4,5}:{(7868,1),(7928,1),(7990,1),(8101,1),(8552,1),(8741,1),(8782,1),(9206,1)}
8378:{1,2,5}:{(7867,1),(7926,1),(7992,1),(8549,1)}
8379:{1,2,4,5}:{(7866,1),(7929,1),(7991,1),(8101,1),(8551,1),(8740,1),(8782,1),(9205,1)}
8380:{1,2,5}:{(7869,1),(7927,1),(7993,1),(8544,1),(8739,1)}
8381:{1,2,4,7}:{(7872,1),(7933,1),(7992,1),(8018,1),(8713,1),(8717,1)}
8382:{1,2,4,7}:{(7870,1),(7931,1),(7993,1),(8021,1),(8712,1),(8716,1),(8744,1)}
8383:{1,2,4,7}:{(7873,1),(7932,1),(7990,1),(8019,1),(8715,1),(8782,1),(9132,1),(9200,1)}
8384:{1,2,4,7}:{(7871,1),(7930,1),(7991,1),(8020,1),(8714,1),(8745,1),(8782,1),(9125,1),(9201,1)}
8385:{1,2,5,6,7}:{(7875,1),(7938,1),(7995,1),(8014,1),(8105,1),(8558,1),(8573,1),(8640,1),(9059,1),(9105,1)}
8386:{1,2,3,5,6}:{(7874,1),(7941,1),(7997,1),(8015,1),(8097,1),(8561,1),(8641,1),(8686,1),(8693,1),(8752,1),(8762,1),(9045,1),(9072,1),(9096,1),(9143,1),(9162,1),(9462,1)}
8387:{1,2,5,6,7}:{(7877,1),(7939,1),(7994,1),(8016,1),(8105,1),(8562,1),(8564,1),(8638,1),(8689,1),(9066,1),(9100,1)}
8388:{1,2,3,5,6}:{(7876,1),(7940,1),(7996,1),(8017,1),(8097,1),(8559,1),(8639,1),(8688,1),(8691,1),(8752,1),(8762,1),(9051,1),(9069,1),(9106,1),(9146,1),(9160,1)}
8389:{1,2,3,6}:{(7881,1),(8003,1),(8078,1),(8098,1),(8661,1)}
8390:{1,6,7}:{(7880,1),(8005,1),(8106,1)}
8391:{1,2,3,6}:{(7878,1),(8002,1),(8078,1),(8098,1),(8660,1)}
8392:{1,6,7}:{(7879,1),(8004,1),(8106,1)}
8393:{1,5,6}:{(7884,1),(8008,1),(8106,1),(8655,1),(9506,1)}
8394:{1,2,6}:{(7882,1),(8006,1),(8079,1),(8657,1)}
8395:{1,5,6}:{(7883,1),(8007,1),(8106,1),(8654,1)}
8396:{1,2,6}:{(7885,1),(8009,1),(8079,1),(8656,1),(9509,1)}
8397:{1,2,3,6,7}:{(7889,1),(7949,1),(7979,1),(8001,1),(8011,1),(8560,1),(8567,1),(8665,1),(8727,1),(9088,1),(9095,1)}
8398:{1,2,3,5,6,7}:{(7887,1),(7948,1),(7978,1),(7998,1),(8013,1),(8108,1),(8563,1),(8571,1),(8662,1),(8721,1),(8728,1),(8771,1),(8784,1),(9080,1),(9102,1),(9111,1),(9173,1),(9194,1),(9457,1)}
8399:{1,2,3,5,6,7}:{(7886,1),(7947,1),(7981,1),(7999,1),(8010,1),(8108,1),(8568,1),(8573,1),(8663,1),(8720,1),(8729,1),(8771,1),(8784,1),(9083,1),(9105,1),(9119,1),(9174,1),(9192,1),(9459,1)}
8400:{1,2,3,6,7}:{(7888,1),(7946,1),(7980,1),(8000,1),(8012,1),(8558,1),(8559,1),(8664,1),(9078,1),(9106,1)}
8401:{1,2,3,6}:{(7892,1),(7950,1),(7983,1),(8020,1),(8714,1),(8737,1),(8781,1),(9095,1),(9219,1)}
8402:{1,2,3,6}:{(7893,1),(7953,1),(7984,1),(8018,1),(8717,1),(8723,1),(9505,1)}
8403:{1,2,3,6}:{(7891,1),(7952,1),(7985,1),(8019,1),(8715,1),(8781,1),(9106,1)}
8404:{1,2,3,6}:{(7890,1),(7951,1),(7982,1),(8021,1),(8716,1),(8725,1),(8734,1)}
8405:{2,3,6}:{(7956,1),(7988,1),(8024,1),(8684,1),(8732,1),(9509,1)}
8406:{2,3,6}:{(7954,1),(7986,1),(8025,1),(8683,1),(8730,1)}
8407:{1,2,3,6}:{(7957,1),(7987,1),(8023,1),(8057,1),(8682,1),(8733,1)}
8408:{1,2,3,6}:{(7955,1),(7989,1),(8022,1),(8057,1),(8685,1),(8731,1),(9510,1)}
8409:{1,2,3}:{(7960,1),(7992,1),(8059,1)}
8410:{2,3}:{(7958,1),(7993,1)}
8411:{1,2,3}:{(7961,1),(7990,1),(8059,1)}
8412:{2,3}:{(7959,1),(7991,1)}
8413:{1,2,3,5,6}:{(7896,1),(7936,1),(8115,1),(8116,1),(8530,1),(8535,1),(8542,1),(8543,1),(8748,1),(8783,1),(8787,1)}
8414:{1,2,3,4}:{(7895,1),(7935,1),(8113,1),(8534,1),(8537,1),(8550,1),(8556,1),(8773,1),(9127,1)}
8415:{1,2,3,6}:{(7894,1),(7937,1),(8116,1),(8529,1),(8540,1),(8544,1),(8549,1),(8746,1)}
8416:{1,2,3,4,5}:{(7897,1),(7934,1),(8113,1),(8115,1),(8531,1),(8541,1),(8553,1),(8554,1),(8773,1),(8783,1),(9126,1),(9129,1)}
8417:{4,5,7}:{(8026,1),(8028,1),(8031,1),(8577,1),(8583,1),(8757,1)}
8418:{4,5,6}:{(8027,1),(8028,1),(8030,1),(8574,1),(8586,1),(8758,1)}
8419:{4}:{(8054,1)}
8420:{3,5,7}:{(8026,1),(8032,1),(8036,1),(8579,1),(8585,1),(8771,1)}
8421:{3,5,6}:{(8027,1),(8032,1),(8035,1),(8578,1),(8588,1),(8772,1)}
8422:{3,5,6}:{(8037,1),(8039,1),(8065,1),(8580,1),(8752,1),(9143,1)}
8423:{3,5,6}:{(8034,1),(8038,1),(8066,1),(8587,1),(8754,1)}
8424:{3,5,7}:{(8040,1),(8041,1),(8067,1),(8597,1),(8752,1),(9143,1)}
8425:{3,4,7}:{(8040,1),(8042,1),(8068,1),(8595,1),(8765,1)}
8426:{3,5,7}:{(8043,1),(8044,1),(8069,1),(8594,1),(8753,1),(8754,1)}
8427:{3,4,6}:{(8044,1),(8057,1),(8070,1),(8753,1),(8754,1),(8756,1)}
8428:{2,5}:{(8028,1),(8050,1)}
8429:{2,4,5,6}:{(8029,1),(8045,1),(8047,1),(8575,1),(8577,1),(8599,1),(8600,1),(8616,1)}
8430:{2,4,6}:{(8030,1),(8046,1),(8049,1),(8620,1),(8758,1)}
8431:{2,4,6,7}:{(8031,1),(8048,1),(8050,1),(8055,1),(8599,1),(8757,1)}
8432:{4}:{(8056,1)}
8433:{2,3,5,6}:{(8033,1),(8045,1),(8051,1),(8053,1),(8579,1),(8580,1),(8610,1),(8612,1),(8615,1),(8780,1),(9043,1),(9053,1),(9056,1),(9456,1)}
8434:{2,3,6}:{(8034,1),(8046,1),(8052,1),(8619,1),(8781,1)}
8435:{2,3,5}:{(8032,1),(8061,1),(8086,1),(8609,1),(8751,1),(8753,1)}
8436:{2,3,5,7}:{(8037,1),(8054,1),(8058,1),(8087,1),(8750,1),(8762,1)}
8437:{2,3,5,7}:{(8038,1),(8056,1),(8062,1),(8088,1),(8607,1),(8608,1),(8759,1),(8763,1),(9052,1),(9170,1),(9401,1)}
8438:{2,3,6,7}:{(8040,1),(8057,1),(8089,1),(8752,1),(8755,1),(8764,1),(8765,1),(9160,1)}
8439:{2,3,5}:{(8041,1),(8057,1),(8090,1),(8630,1),(8753,1),(8756,1)}
8440:{2,3,6}:{(8039,1),(8060,1),(8091,1),(8752,1)}
8441:{2,3,6}:{(8042,1),(8059,1),(8092,1),(8633,1),(8765,1)}
8442:{2,3,5}:{(8043,1),(8059,1),(8093,1),(8632,1),(8768,1),(9170,1)}
8443:{2,3,6}:{(8035,1),(8064,1),(8094,1),(8618,1),(8754,1)}
8444:{2,3,4,6,7}:{(8036,1),(8058,1),(8061,1),(8063,1),(8095,1),(8622,1),(8635,1),(8636,1),(8750,1),(8755,1),(8760,1),(9141,1),(9166,1),(9408,1)}
8445:{2,3,4,7}:{(8044,1),(8059,1),(8096,1),(8765,1),(8766,1),(8767,1),(8768,1),(9165,1)}
8446:{1,4,5}:{(8028,1),(8070,1),(8086,1),(8643,1),(8751,1),(8753,1)}
8447:{1,4,6}:{(8029,1),(8067,1),(8097,1),(8752,1)}
8448:{1,4,6}:{(8030,1),(8069,1),(8105,1),(8754,1)}
8449:{1,4,6,7}:{(8031,1),(8068,1),(8070,1),(8107,1),(8639,1),(8750,1),(8755,1),(8769,1),(9141,1),(9179,1)}
8450:{1,5}:{(8032,1),(8075,1)}
8451:{1,4,5,6}:{(8033,1),(8071,1),(8072,1),(8073,1),(8647,1),(8648,1),(8652,1),(8653,1),(8774,1),(8780,1),(9067,1),(9068,1),(9241,1)}
8452:{1,4,6}:{(8034,1),(8074,1),(8079,1),(8775,1),(8781,1)}
8453:{1,4,6}:{(8035,1),(8077,1),(8106,1),(8772,1),(8787,1)}
8454:{1,4,6,7}:{(8036,1),(8075,1),(8076,1),(8108,1),(8661,1),(8771,1)}
8455:{1,3,5,7}:{(8037,1),(8073,1),(8080,1),(8084,1),(8673,1),(8771,1),(8774,1),(9173,1)}
8456:{1,3,4,6}:{(8039,1),(8072,1),(8078,1),(8083,1),(8647,1),(8648,1),(8660,1),(8661,1),(8774,1),(8786,1),(9084,1),(9086,1),(9241,1)}
8457:{1,3,5,7}:{(8038,1),(8074,1),(8082,1),(8085,1),(8643,1),(8644,1),(8680,1),(8775,1),(9066,1),(9073,1)}
8458:{1,2,5,7}:{(8026,1),(8086,1),(8095,1),(8688,1),(8757,1),(8760,1),(8769,1),(8771,1)}
8459:{1,2,5,6}:{(8027,1),(8086,1),(8094,1),(8689,1),(8758,1),(8761,1),(8770,1),(8772,1),(9510,1)}
8460:{1,2,5,6}:{(8045,1),(8065,1),(8087,1),(8091,1),(8686,1),(8762,1),(9043,1),(9053,1)}
8461:{1,2,5,6}:{(8046,1),(8066,1),(8088,1),(8758,1),(8763,1),(8778,1),(8781,1),(9502,1)}
8462:{1,2,4,5,7}:{(8047,1),(8067,1),(8087,1),(8089,1),(8090,1),(8696,1),(8704,1),(8750,1),(8764,1),(8769,1),(8777,1),(9153,1),(9179,1),(9482,1)}
8463:{1,2,4,7}:{(8048,1),(8068,1),(8092,1),(8100,1),(8765,1)}
8464:{1,2,4,5,7}:{(8049,1),(8069,1),(8088,1),(8093,1),(8096,1),(8695,1),(8713,1),(8759,1),(8766,1),(8776,1),(8778,1),(9231,1)}
8465:{1,2,4,6}:{(8050,1),(8070,1),(8096,1),(8109,1),(8602,1),(8603,1),(8767,1),(8776,1),(9130,1),(9132,1),(9158,1)}
8466:{1,2,5,7}:{(8051,1),(8073,1),(8099,1),(8103,1),(8771,1),(8780,1)}
8467:{1,2,5,7}:{(8052,1),(8074,1),(8101,1),(8104,1),(8781,1)}
8468:{1,2,4,6}:{(8053,1),(8072,1),(8098,1),(8102,1),(8652,1),(8653,1),(8660,1),(8661,1),(8780,1),(8786,1),(9241,1)}
8469:{1,2,3,5}:{(8054,1),(8080,1),(8099,1),(8110,1),(8730,1),(8773,1)}
8470:{1,2,3,5,6,7}:{(8055,1),(8081,1),(8100,1),(8109,1),(8628,1),(8629,1),(8690,1),(8691,1),(8719,1),(8720,1),(8757,1),(8765,1),(8779,1),(9048,1),(9051,1),(9105,1),(9106,1),(9115,1),(9119,1),(9160,1),(9161,1),(9191,1),(9192,1),(9238,1),(9459,1)}
8471:{1,2,3,5}:{(8056,1),(8082,1),(8101,1),(8111,1),(8740,1),(8782,1)}
8472:{1,2,3,6,7}:{(8058,1),(8084,1),(8103,1),(8110,1),(8112,1),(8728,1),(8784,1),(8786,1),(9107,1),(9114,1)}
8473:{1,2,3,5,7}:{(8060,1),(8083,1),(8102,1),(8112,1),(8113,1),(8670,1),(8673,1),(8699,1),(8701,1),(8747,1),(8786,1),(9107,1),(9112,1),(9114,1),(9210,1),(9456,1),(9462,1)}
8474:{1,2,3,4,6}:{(8061,1),(8075,1),(8110,1),(8114,1),(8682,1),(8683,1),(8716,1),(8717,1),(8773,1),(8783,1),(8787,1),(9126,1),(9129,1),(9243,1),(9499,1),(9505,1)}
8475:{1,2,3,4,6,7}:{(8062,1),(8085,1),(8104,1),(8111,1),(8714,1),(8715,1),(8718,1),(8719,1),(8742,1),(8745,1),(8781,1),(8782,1),(8785,1),(9091,1),(9104,1),(9113,1),(9117,1),(9131,1),(9133,1),(9200,1),(9201,1),(9219,1),(9220,1),(9244,1),(9466,1),(9477,1)}
8476:{1,2,3,4,7}:{(8063,1),(8076,1),(8112,1),(8115,1),(8675,1),(8677,1),(8706,1),(8708,1),(8748,1)}
8477:{1,2,3,5,7}:{(8064,1),(8077,1),(8114,1),(8116,1),(8679,1),(8681,1),(8712,1),(8713,1),(8746,1),(8783,1),(8787,1)}
8478:{3,4,6}:{(8132,1),(8150,1),(8203,1),(8804,1),(8821,1),(9021,1)}
8479:{4,6}:{(8128,1),(8154,1),(8797,1),(9570,1)}
8480:{4,6,7}:{(8126,1),(8149,1),(8218,1),(8803,1),(8806,1)}
8481:{3,4,6}:{(8124,1),(8153,1),(8204,1),(8835,1),(9021,1)}
8482:{4,6}:{(8120,1),(8158,1)}
8483:{4,6,7}:{(8122,1),(8155,1),(8218,1),(8815,1)}
8484:{4,6,7}:{(8131,1),(8152,1),(8220,1),(8802,1)}
8485:{3,4,6,7}:{(8127,1),(8163,1),(8201,1),(8219,1),(8792,1),(8825,1),(8888,1)}
8486:{4,6,7}:{(8129,1),(8159,1),(8220,1),(8791,1)}
8487:{4,6}:{(8118,1),(8164,1),(8789,1),(8810,1)}
8488:{4,6}:{(8117,1),(8157,1),(8790,1),(8805,1),(9247,1)}
8489:{3,4,6}:{(8121,1),(8160,1),(8203,1),(8793,1),(8807,1),(8830,1),(9245,1),(9523,1)}
8490:{3,4,6,7}:{(8123,1),(8156,1),(8201,1),(8217,1),(8812,1),(8836,1),(8888,1)}
8491:{3,4,6,7}:{(8119,1),(8161,1),(8202,1),(8217,1),(8796,1),(8817,1),(8826,1),(8885,1)}
8492:{3,4,6,7}:{(8125,1),(8151,1),(8202,1),(8219,1),(8799,1),(8831,1),(8885,1),(9341,1)}
8493:{3,4,6}:{(8130,1),(8162,1),(8204,1),(8800,1),(8811,1),(8828,1),(9254,1),(9548,1)}
8494:{2,3,5,7}:{(8130,1),(8141,1),(8243,1),(8254,1),(8811,1),(8861,1)}
8495:{2,4,7}:{(8129,1),(8139,1),(8247,1),(8893,1)}
8496:{2,4,7}:{(8128,1),(8138,1),(8246,1),(8818,1),(9570,1)}
8497:{2,3,4,5,7}:{(8127,1),(8143,1),(8244,1),(8247,1),(8254,1),(8813,1),(8862,1),(8893,1),(8902,1),(8920,1),(9257,1),(9309,1),(9549,1)}
8498:{2,3,4,7}:{(8125,1),(8133,1),(8242,1),(8245,1),(8858,1),(8896,1),(8917,1),(9316,1)}
8499:{2,4,5,7}:{(8131,1),(8136,1),(8245,1),(8255,1),(8819,1),(8896,1),(8901,1),(9252,1)}
8500:{2,3,7}:{(8121,1),(8134,1),(8241,1),(8807,1),(8854,1)}
8501:{2,5,7}:{(8118,1),(8147,1),(8255,1),(8810,1)}
8502:{2,3,7}:{(8119,1),(8144,1),(8242,1),(8866,1)}
8503:{2,3,5,7}:{(8123,1),(8142,1),(8244,1),(8253,1),(8812,1),(8859,1)}
8504:{2,3,4,5,7}:{(8124,1),(8140,1),(8243,1),(8246,1),(8253,1),(8816,1),(8855,1),(8894,1),(8904,1),(8919,1),(9256,1),(9320,1),(9354,1),(9566,1)}
8505:{2,7}:{(8126,1),(8146,1)}
8506:{2,5,7}:{(8122,1),(8135,1),(8256,1),(8815,1)}
8507:{2,4,5,7}:{(8120,1),(8148,1),(8248,1),(8256,1),(8820,1),(8895,1),(8903,1),(9259,1)}
8508:{2,7}:{(8117,1),(8137,1),(8805,1)}
8509:{2,3,4,7}:{(8132,1),(8145,1),(8241,1),(8248,1),(8814,1),(8856,1),(8895,1),(8918,1)}
8510:{1,4,5,7}:{(8120,1),(8168,1),(8186,1),(8294,1),(8827,1),(8850,1),(9034,1),(9361,1)}
8511:{1,4,7}:{(8126,1),(8171,1),(8184,1),(8840,1),(8857,1),(9323,1)}
8512:{1,4,5,7}:{(8130,1),(8165,1),(8189,1),(8293,1),(8828,1),(8861,1),(8935,1)}
8513:{1,4,5,7}:{(8131,1),(8167,1),(8183,1),(8295,1),(8833,1),(8844,1),(8933,1),(9370,1)}
8514:{1,4,7}:{(8129,1),(8170,1),(8187,1),(8846,1)}
8515:{1,4,7}:{(8128,1),(8176,1),(8194,1),(8822,1),(8839,1),(9570,1)}
8516:{1,4,5,7}:{(8118,1),(8174,1),(8191,1),(8295,1),(8823,1),(8849,1),(8867,1),(8933,1)}
8517:{1,4,7}:{(8121,1),(8169,1),(8196,1),(8830,1),(8854,1)}
8518:{1,4,5,7}:{(8122,1),(8180,1),(8192,1),(8294,1),(8832,1),(8838,1),(8868,1),(9322,1),(9557,1)}
8519:{1,4,5,7}:{(8124,1),(8177,1),(8181,1),(8296,1),(8835,1),(9034,1),(9361,1)}
8520:{1,4,7}:{(8125,1),(8175,1),(8188,1),(8852,1)}
8521:{1,4,5,7}:{(8123,1),(8166,1),(8182,1),(8296,1),(8836,1),(8845,1),(8859,1),(9315,1),(9553,1)}
8522:{1,4,5,7}:{(8127,1),(8179,1),(8185,1),(8293,1),(8825,1),(8837,1),(8935,1)}
8523:{1,4,7}:{(8117,1),(8173,1),(8193,1),(8829,1),(8847,1),(8864,1)}
8524:{1,4,7}:{(8119,1),(8178,1),(8195,1),(8841,1),(8866,1)}
8525:{1,4,7}:{(8132,1),(8172,1),(8190,1),(8821,1),(9571,1)}
8526:{1,3,4}:{(8169,1),(8234,1),(8326,1),(8874,1),(8964,1)}
8527:{3,4}:{(8173,1),(8328,1),(8871,1),(8962,1)}
8528:{1,3,5,6}:{(8179,1),(8236,1),(8330,1),(8335,1),(8837,1),(8952,1),(8954,1)}
8529:{3,6}:{(8171,1),(8336,1),(8840,1)}
8530:{1,3,5,6}:{(8166,1),(8236,1),(8329,1),(8334,1),(8845,1),(8949,1),(8953,1)}
8531:{3,4,5}:{(8168,1),(8325,1),(8331,1),(8870,1),(8951,1),(8961,1),(9337,1)}
8532:{3,4,5}:{(8174,1),(8328,1),(8332,1),(8878,1),(8950,1),(8962,1)}
8533:{3,6}:{(8170,1),(8333,1),(8846,1)}
8534:{1,3,4}:{(8172,1),(8234,1),(8327,1),(8881,1)}
8535:{3,5,6}:{(8180,1),(8331,1),(8336,1),(8838,1),(8951,1),(8956,1)}
8536:{1,3,6}:{(8175,1),(8233,1),(8335,1),(8852,1)}
8537:{3,4}:{(8176,1),(8325,1),(8877,1)}
8538:{1,3,4,5}:{(8165,1),(8235,1),(8326,1),(8330,1),(8882,1),(8952,1),(8964,1)}
8539:{3,5,6}:{(8167,1),(8332,1),(8333,1),(8844,1),(8950,1),(8955,1)}
8540:{1,3,6}:{(8178,1),(8233,1),(8334,1),(8841,1)}
8541:{1,3,4,5}:{(8177,1),(8235,1),(8327,1),(8329,1),(8872,1),(8949,1),(8963,1),(9330,1)}
8542:{1,2,5,6}:{(8135,1),(8180,1),(8374,1),(8380,1),(8868,1),(8876,1),(8974,1),(8981,1)}
8543:{1,2,5,6}:{(8142,1),(8166,1),(8373,1),(8378,1),(8859,1),(8976,1),(8984,1)}
8544:{1,2,6}:{(8146,1),(8171,1),(8380,1),(8857,1),(8873,1)}
8545:{1,2}:{(8134,1),(8169,1)}
8546:{1,2,5}:{(8147,1),(8174,1),(8375,1),(8878,1),(9524,1)}
8547:{1,2,4,5,6}:{(8136,1),(8167,1),(8362,1),(8375,1),(8379,1),(8863,1),(8880,1),(8975,1),(8982,1),(8990,1),(9282,1),(9332,1),(9388,1),(9569,1)}
8548:{1,2}:{(8137,1),(8173,1),(8871,1)}
8549:{1,2,6}:{(8144,1),(8178,1),(8378,1),(8866,1)}
8550:{1,2,4}:{(8145,1),(8172,1),(8363,1),(8881,1)}
8551:{1,2,4,6}:{(8139,1),(8170,1),(8364,1),(8379,1),(8860,1),(8883,1),(8989,1)}
8552:{1,2,4,6}:{(8133,1),(8175,1),(8362,1),(8377,1),(8858,1),(8879,1),(8990,1)}
8553:{1,2,4,5}:{(8148,1),(8168,1),(8363,1),(8374,1),(8870,1),(8974,1),(8991,1),(9337,1)}
8554:{1,2,4,5}:{(8140,1),(8177,1),(8361,1),(8373,1),(8872,1),(8976,1),(8992,1),(9330,1)}
8555:{1,2,4,5,6}:{(8143,1),(8179,1),(8364,1),(8376,1),(8377,1),(8862,1),(8875,1),(8973,1),(8983,1),(8989,1),(9280,1),(9329,1),(9387,1)}
8556:{1,2,4}:{(8138,1),(8176,1),(8361,1),(8877,1)}
8557:{1,2,5}:{(8141,1),(8165,1),(8376,1)}
8558:{1,2,6,7}:{(8163,1),(8185,1),(8312,1),(8394,1),(8825,1)}
8559:{1,3,6}:{(8162,1),(8189,1),(8353,1),(8828,1),(9548,1)}
8560:{1,2,6,7}:{(8152,1),(8183,1),(8309,1),(8396,1),(8833,1),(9572,1)}
8561:{1,3,6}:{(8160,1),(8196,1),(8353,1),(8830,1),(9523,1)}
8562:{1,2,6,7}:{(8151,1),(8188,1),(8309,1),(8394,1),(8831,1),(9531,1)}
8563:{1,5,6,7}:{(8155,1),(8192,1),(8392,1),(8393,1),(8832,1),(9557,1)}
8564:{1,5,6,7}:{(8161,1),(8195,1),(8390,1),(8395,1),(8826,1),(8931,1)}
8565:{1,5,6,7}:{(8149,1),(8184,1),(8390,1),(8393,1),(8824,1),(8931,1),(9522,1)}
8566:{1,2,3,5,6}:{(8150,1),(8190,1),(8310,1),(8355,1),(8391,1),(8821,1),(8932,1),(8948,1),(8971,1),(9264,1),(9277,1),(9298,1)}
8567:{1,3,6}:{(8164,1),(8191,1),(8356,1),(8823,1),(8946,1)}
8568:{1,2,3,5,6}:{(8153,1),(8181,1),(8311,1),(8355,1),(8389,1),(8835,1),(8929,1),(8948,1),(8970,1),(9274,1),(9285,1),(9306,1)}
8569:{1,2,6,7}:{(8159,1),(8187,1),(8312,1),(8396,1),(8834,1),(9515,1)}
8570:{1,2,3,5,6}:{(8154,1),(8194,1),(8311,1),(8354,1),(8391,1),(8822,1),(8932,1),(8945,1),(8970,1),(9276,1),(9292,1),(9307,1)}
8571:{1,2,3,5,6}:{(8158,1),(8186,1),(8310,1),(8354,1),(8389,1),(8827,1),(8929,1),(8945,1),(8971,1),(9261,1),(9287,1),(9295,1)}
8572:{1,3,6}:{(8157,1),(8193,1),(8356,1),(8829,1),(8946,1),(9536,1)}
8573:{1,5,6,7}:{(8156,1),(8182,1),(8392,1),(8395,1),(8836,1),(9553,1)}
8574:{4,5,7}:{(8199,1),(8202,1),(8418,1),(8799,1),(8891,1)}
8575:{4,5}:{(8197,1),(8203,1),(8793,1),(8889,1),(9245,1)}
8576:{4,5,6,7}:{(8198,1),(8201,1),(8417,1),(8418,1),(8792,1),(8892,1)}
8577:{4,5,6}:{(8200,1),(8204,1),(8417,1),(8800,1),(8890,1),(9254,1)}
8578:{3,5,7}:{(8199,1),(8223,1),(8421,1),(8803,1),(8931,1)}
8579:{3,5,6}:{(8200,1),(8224,1),(8420,1),(8795,1),(8929,1)}
8580:{3,5}:{(8197,1),(8221,1),(8797,1),(8932,1)}
8581:{3,5,6,7}:{(8198,1),(8222,1),(8420,1),(8421,1),(8794,1),(8930,1)}
8582:{3,4,5,7}:{(8205,1),(8228,1),(8417,1),(8420,1),(8798,1),(8904,1),(8936,1),(9022,1),(9024,1)}
8583:{3,5,7}:{(8206,1),(8227,1),(8417,1),(8800,1),(8935,1)}
8584:{5,7}:{(8207,1),(8226,1),(8789,1)}
8585:{4,5,7}:{(8208,1),(8225,1),(8420,1),(8795,1),(8903,1)}
8586:{3,5,6}:{(8206,1),(8219,1),(8418,1),(8799,1),(8938,1)}
8587:{5,6}:{(8207,1),(8220,1),(8791,1)}
8588:{4,5,6}:{(8208,1),(8218,1),(8421,1),(8803,1),(8906,1),(9023,1)}
8589:{3,4,5,6}:{(8205,1),(8217,1),(8418,1),(8421,1),(8796,1),(8907,1),(8937,1),(9023,1),(9025,1),(9374,1)}
8590:{3,5,6,7}:{(8211,1),(8231,1),(8279,1),(8423,1),(8799,1),(8802,1),(8885,1),(9568,1)}
8591:{3,4,5,6}:{(8210,1),(8232,1),(8277,1),(8422,1),(8795,1),(8804,1),(8887,1),(8916,1),(9021,1)}
8592:{3,4,5,6}:{(8209,1),(8230,1),(8280,1),(8422,1),(8797,1),(8886,1),(8913,1),(9021,1),(9344,1)}
8593:{3,5,6,7}:{(8212,1),(8229,1),(8278,1),(8423,1),(8791,1),(8888,1)}
8594:{3,7}:{(8233,1),(8284,1)}
8595:{3,5,7}:{(8236,1),(8283,1),(8425,1),(8888,1)}
8596:{3,4,5,7}:{(8235,1),(8282,1),(8424,1),(8425,1),(8886,1),(8919,1),(9024,1),(9026,1),(9344,1)}
8597:{3,4,7}:{(8234,1),(8281,1),(8424,1),(8887,1),(8918,1)}
8598:{2,4,6,7}:{(8201,1),(8240,1),(8244,1),(8430,1),(8812,1),(8892,1)}
8599:{2,4,6}:{(8204,1),(8239,1),(8243,1),(8811,1),(8890,1),(9254,1)}
8600:{2,4,6}:{(8203,1),(8237,1),(8241,1),(8807,1),(8889,1),(9245,1)}
8601:{2,4,6,7}:{(8202,1),(8238,1),(8242,1),(8430,1),(8817,1),(8891,1),(9248,1)}
8602:{2,4}:{(8265,1),(8419,1)}
8603:{4,6}:{(8268,1),(8432,1),(8893,1),(8900,1)}
8604:{2,4}:{(8266,1),(8419,1)}
8605:{4,6}:{(8267,1),(8432,1),(8896,1),(8899,1)}
8606:{2,3,5}:{(8205,1),(8263,1),(8428,1),(8898,1),(8976,1)}
8607:{2,5}:{(8207,1),(8261,1),(8899,1)}
8608:{2,3,5}:{(8206,1),(8262,1),(8428,1),(8900,1),(8973,1),(9328,1)}
8609:{2,5}:{(8208,1),(8264,1)}
8610:{2,3,6}:{(8210,1),(8237,1),(8248,1),(8820,1),(8971,1)}
8611:{2,3,6,7}:{(8211,1),(8238,1),(8245,1),(8434,1),(8819,1),(8969,1)}
8612:{2,3,6}:{(8209,1),(8239,1),(8246,1),(8818,1),(8970,1)}
8613:{2,3,6,7}:{(8212,1),(8240,1),(8247,1),(8434,1),(8809,1),(8972,1)}
8614:{2,5,6}:{(8215,1),(8249,1),(8789,1),(8790,1),(8805,1),(8810,1)}
8615:{2,4,5,6}:{(8214,1),(8250,1),(8433,1),(8795,1),(8797,1),(8818,1),(8820,1),(9021,1),(9259,1),(9556,1),(9570,1)}
8616:{2,3,5,6}:{(8213,1),(8251,1),(8429,1),(8793,1),(8800,1),(8807,1),(8811,1),(8979,1)}
8617:{2,3,4,5,6}:{(8216,1),(8252,1),(8429,1),(8433,1),(8798,1),(8804,1),(8814,1),(8816,1),(8980,1),(9021,1),(9029,1),(9253,1),(9256,1),(9365,1),(9566,1)}
8618:{2,6}:{(8218,1),(8258,1)}
8619:{2,4,6}:{(8220,1),(8259,1),(8434,1),(8908,1),(9028,1)}
8620:{2,3,6}:{(8217,1),(8257,1),(8430,1),(8984,1)}
8621:{2,3,4,6}:{(8219,1),(8260,1),(8430,1),(8434,1),(8905,1),(8983,1),(9028,1),(9030,1),(9399,1)}
8622:{2,4,6,7}:{(8225,1),(8256,1),(8264,1),(8272,1),(8815,1),(8820,1),(8895,1),(8903,1)}
8623:{2,4,6,7}:{(8226,1),(8255,1),(8261,1),(8271,1),(8810,1),(8896,1),(8901,1),(9251,1)}
8624:{2,3,4,6,7}:{(8228,1),(8253,1),(8263,1),(8269,1),(8431,1),(8812,1),(8816,1),(8894,1),(8904,1),(8985,1),(9258,1),(9320,1),(9547,1)}
8625:{2,3,4,6,7}:{(8227,1),(8254,1),(8262,1),(8270,1),(8431,1),(8811,1),(8893,1),(8902,1),(8988,1),(9254,1),(9309,1),(9548,1)}
8626:{2,3,5,7}:{(8232,1),(8266,1),(8272,1),(8341,1),(8895,1),(8903,1),(8916,1),(8918,1)}
8627:{2,3,5,7}:{(8231,1),(8267,1),(8271,1),(8344,1),(8896,1),(8901,1),(8917,1),(9356,1)}
8628:{2,3,5,7}:{(8230,1),(8265,1),(8269,1),(8343,1),(8894,1),(8913,1)}
8629:{2,3,5,7}:{(8229,1),(8268,1),(8270,1),(8342,1),(8893,1)}
8630:{2,3}:{(8234,1),(8348,1)}
8631:{2,3,5,6}:{(8236,1),(8345,1),(8441,1),(8442,1),(8920,1),(8922,1),(9030,1),(9031,1),(9357,1)}
8632:{2,3,6}:{(8233,1),(8346,1),(8442,1),(8917,1),(8924,1)}
8633:{2,3,5}:{(8235,1),(8347,1),(8441,1),(8923,1)}
8634:{2,3,4,6}:{(8221,1),(8275,1),(8351,1),(8440,1),(8818,1),(8887,1),(8911,1),(9021,1)}
8635:{2,3,4,6}:{(8224,1),(8273,1),(8352,1),(8440,1),(8820,1),(8886,1),(8910,1),(9021,1)}
8636:{2,3,6,7}:{(8222,1),(8276,1),(8349,1),(8443,1),(8815,1),(8888,1)}
8637:{2,3,6,7}:{(8223,1),(8274,1),(8350,1),(8443,1),(8806,1),(8885,1),(8909,1),(9541,1)}
8638:{1,4,6,7}:{(8202,1),(8284,1),(8387,1),(8448,1),(8885,1),(8928,1)}
8639:{1,4,6}:{(8204,1),(8282,1),(8388,1),(8886,1),(9021,1),(9254,1)}
8640:{1,4,6,7}:{(8201,1),(8283,1),(8385,1),(8448,1),(8888,1)}
8641:{1,4,6}:{(8203,1),(8281,1),(8386,1),(8887,1),(8925,1),(9021,1),(9245,1),(9571,1)}
8642:{1,4,5}:{(8208,1),(8302,1),(8450,1),(8951,1),(8974,1),(9337,1)}
8643:{1,5}:{(8206,1),(8301,1)}
8644:{1,5}:{(8207,1),(8304,1),(8950,1)}
8645:{1,4,5}:{(8205,1),(8303,1),(8450,1),(8949,1),(8976,1)}
8646:{1,4,6,7}:{(8211,1),(8288,1),(8309,1),(8452,1),(8943,1),(8969,1)}
8647:{1,4,6}:{(8209,1),(8285,1),(8311,1),(8970,1)}
8648:{1,4,6}:{(8210,1),(8286,1),(8310,1),(8971,1)}
8649:{1,4,6,7}:{(8212,1),(8287,1),(8312,1),(8452,1),(8941,1),(8972,1)}
8650:{1,4,6}:{(8213,1),(8290,1),(8353,1),(8947,1),(8979,1)}
8651:{1,4,6}:{(8215,1),(8292,1),(8356,1),(8946,1),(8978,1),(9368,1)}
8652:{1,4,6}:{(8214,1),(8291,1),(8354,1),(8945,1)}
8653:{1,4,6}:{(8216,1),(8289,1),(8355,1),(8948,1)}
8654:{1,4,6}:{(8217,1),(8297,1),(8395,1),(8953,1),(8984,1)}
8655:{1,4,6}:{(8218,1),(8298,1),(8393,1),(8956,1),(8981,1),(9400,1)}
8656:{1,4,6}:{(8220,1),(8300,1),(8396,1),(8940,1),(8955,1),(9373,1)}
8657:{1,4,6}:{(8219,1),(8299,1),(8394,1),(8938,1),(8954,1)}
8658:{1,4,6,7}:{(8223,1),(8308,1),(8390,1),(8453,1),(8931,1),(9011,1),(9362,1)}
8659:{1,4,6,7}:{(8222,1),(8306,1),(8392,1),(8453,1),(8930,1),(9010,1)}
8660:{1,4,6}:{(8221,1),(8307,1),(8391,1),(8932,1)}
8661:{1,4,6}:{(8224,1),(8305,1),(8389,1),(8929,1)}
8662:{1,4,6,7}:{(8225,1),(8294,1),(8302,1),(8398,1),(8827,1),(8934,1),(8960,1),(9034,1),(9322,1),(9556,1)}
8663:{1,4,6,7}:{(8228,1),(8296,1),(8303,1),(8399,1),(8835,1),(8936,1),(9034,1),(9315,1),(9552,1)}
8664:{1,4,6,7}:{(8227,1),(8293,1),(8301,1),(8400,1),(8828,1),(8935,1)}
8665:{1,4,6,7}:{(8226,1),(8295,1),(8304,1),(8397,1),(8823,1),(8933,1),(8959,1)}
8666:{1,3,5,7}:{(8229,1),(8287,1),(8315,1),(8320,1),(8846,1),(8935,1)}
8667:{1,3,4,5,7}:{(8232,1),(8286,1),(8313,1),(8318,1),(8455,1),(8843,1),(8850,1),(8934,1),(8944,1),(8994,1),(9034,1)}
8668:{1,3,5,7}:{(8231,1),(8288,1),(8316,1),(8317,1),(8844,1),(8852,1),(8933,1),(9568,1)}
8669:{1,3,4,5,7}:{(8230,1),(8285,1),(8314,1),(8319,1),(8455,1),(8839,1),(8936,1),(8942,1),(8996,1),(9034,1),(9369,1)}
8670:{1,3,5,7}:{(8289,1),(8324,1),(8327,1),(8424,1),(8843,1),(8948,1),(9264,1)}
8671:{3,5,7}:{(8292,1),(8321,1),(8328,1),(8847,1),(8946,1),(9272,1)}
8672:{1,3,5,7}:{(8290,1),(8322,1),(8326,1),(8424,1),(8848,1),(8947,1),(9267,1)}
8673:{3,5,7}:{(8291,1),(8323,1),(8325,1),(8839,1),(8945,1),(9276,1)}
8674:{3,4,7}:{(8295,1),(8321,1),(8332,1),(8844,1),(9004,1)}
8675:{1,3,4,7}:{(8296,1),(8324,1),(8329,1),(8425,1),(8845,1),(9002,1),(9315,1)}
8676:{1,3,4,7}:{(8293,1),(8322,1),(8330,1),(8425,1),(8837,1),(9001,1)}
8677:{3,4,7}:{(8294,1),(8323,1),(8331,1),(8838,1),(9003,1),(9322,1)}
8678:{1,3,5,7}:{(8299,1),(8335,1),(8337,1),(8426,1),(8852,1),(8952,1),(8954,1)}
8679:{1,3,5,7}:{(8297,1),(8334,1),(8338,1),(8426,1),(8841,1),(8949,1),(8953,1)}
8680:{3,5,7}:{(8300,1),(8333,1),(8340,1),(8846,1),(8950,1),(8955,1)}
8681:{3,5,7}:{(8298,1),(8336,1),(8339,1),(8840,1),(8951,1),(8956,1)}
8682:{1,3,4,6}:{(8303,1),(8338,1),(8407,1),(8427,1),(8949,1),(8953,1),(8963,1)}
8683:{3,4,6}:{(8302,1),(8339,1),(8406,1),(8951,1),(8956,1),(8961,1)}
8684:{3,4,6}:{(8304,1),(8340,1),(8405,1),(8950,1),(8955,1),(8962,1),(9373,1)}
8685:{1,3,4,6}:{(8301,1),(8337,1),(8408,1),(8427,1),(8952,1),(8954,1),(8964,1),(9376,1)}
8686:{1,2,5}:{(8197,1),(8351,1),(8889,1),(8911,1),(8925,1),(8932,1)}
8687:{1,2,5,6,7}:{(8198,1),(8349,1),(8458,1),(8459,1),(8892,1),(8912,1),(8927,1),(8930,1),(9574,1)}
8688:{1,2,5,6}:{(8200,1),(8352,1),(8458,1),(8890,1),(8910,1),(8926,1),(8929,1)}
8689:{1,2,5,7}:{(8199,1),(8350,1),(8459,1),(8891,1),(8909,1),(8928,1),(8931,1),(9531,1)}
8690:{1,2,5,6,7}:{(8240,1),(8278,1),(8342,1),(8461,1),(8892,1),(8915,1),(8968,1),(8972,1),(9553,1)}
8691:{1,2,5,6}:{(8239,1),(8280,1),(8343,1),(8890,1),(8913,1),(8965,1),(8970,1),(9532,1)}
8692:{1,2,5,6,7}:{(8238,1),(8279,1),(8344,1),(8461,1),(8891,1),(8914,1),(8967,1),(8969,1),(9281,1),(9542,1)}
8693:{1,2,5,6}:{(8237,1),(8277,1),(8341,1),(8889,1),(8916,1),(8966,1),(8971,1),(9277,1)}
8694:{1,2,4,5,7}:{(8243,1),(8282,1),(8343,1),(8347,1),(8463,1),(8861,1),(8894,1),(8919,1),(8965,1),(9256,1),(9310,1),(9532,1)}
8695:{1,2,4,7}:{(8242,1),(8284,1),(8344,1),(8346,1),(8866,1),(8896,1),(8917,1),(9324,1)}
8696:{1,2,4,7}:{(8241,1),(8281,1),(8341,1),(8348,1),(8854,1),(8895,1),(8918,1),(8966,1)}
8697:{1,2,4,5,7}:{(8244,1),(8283,1),(8342,1),(8345,1),(8463,1),(8859,1),(8893,1),(8920,1),(8968,1),(9257,1),(9315,1),(9553,1)}
8698:{1,2,5,7}:{(8247,1),(8287,1),(8358,1),(8364,1),(8860,1),(8972,1)}
8699:{1,2,5,7}:{(8248,1),(8286,1),(8359,1),(8363,1),(8856,1),(8971,1),(9277,1)}
8700:{1,2,5,7}:{(8245,1),(8288,1),(8357,1),(8362,1),(8858,1),(8969,1)}
8701:{1,2,5,7}:{(8246,1),(8285,1),(8360,1),(8361,1),(8853,1),(8970,1),(9292,1)}
8702:{1,2,5,7}:{(8249,1),(8292,1),(8366,1),(8370,1),(8864,1),(8933,1),(8978,1),(9000,1),(9524,1)}
8703:{1,2,4,5,7}:{(8252,1),(8289,1),(8367,1),(8371,1),(8466,1),(8856,1),(8936,1),(8980,1),(8998,1),(9034,1)}
8704:{1,2,5,7}:{(8251,1),(8290,1),(8368,1),(8369,1),(8854,1),(8935,1),(8979,1),(9532,1)}
8705:{1,2,4,5,7}:{(8250,1),(8291,1),(8365,1),(8372,1),(8466,1),(8853,1),(8934,1),(8977,1),(8997,1),(9034,1)}
8706:{1,2,4,7}:{(8256,1),(8294,1),(8359,1),(8374,1),(8868,1),(9003,1),(9322,1)}
8707:{1,2,4,7}:{(8255,1),(8295,1),(8357,1),(8375,1),(8867,1),(9004,1),(9312,1)}
8708:{1,2,4,7}:{(8253,1),(8296,1),(8360,1),(8373,1),(8859,1),(9002,1),(9315,1)}
8709:{1,2,4,7}:{(8254,1),(8293,1),(8358,1),(8376,1),(8861,1),(9001,1)}
8710:{1,2,4,5,7}:{(8259,1),(8300,1),(8379,1),(8384,1),(8467,1),(8860,1),(8975,1),(8982,1),(9007,1),(9038,1),(9279,1),(9332,1),(9534,1)}
8711:{1,2,4,5,7}:{(8260,1),(8299,1),(8377,1),(8383,1),(8467,1),(8858,1),(8973,1),(8983,1),(9005,1),(9038,1),(9281,1),(9329,1),(9573,1)}
8712:{1,2,5,7}:{(8258,1),(8298,1),(8380,1),(8382,1),(8857,1),(8974,1),(8981,1),(9008,1)}
8713:{1,2,5,7}:{(8257,1),(8297,1),(8378,1),(8381,1),(8866,1),(8976,1),(8984,1)}
8714:{1,2,4,6}:{(8261,1),(8304,1),(8384,1),(8401,1),(8975,1),(8990,1),(9013,1)}
8715:{1,2,4,6}:{(8262,1),(8301,1),(8383,1),(8403,1),(8973,1),(8989,1)}
8716:{1,2,4,6}:{(8264,1),(8302,1),(8382,1),(8404,1),(8974,1),(8981,1),(8991,1),(9014,1)}
8717:{1,2,4,6}:{(8263,1),(8303,1),(8381,1),(8402,1),(8976,1),(8984,1),(8992,1)}
8718:{1,2,3,6,7}:{(8271,1),(8316,1),(8357,1),(8401,1),(8969,1),(8987,1),(8995,1),(9004,1),(9305,1),(9535,1)}
8719:{1,2,3,6,7}:{(8270,1),(8315,1),(8358,1),(8403,1),(8972,1),(8988,1),(8993,1),(9001,1),(9548,1)}
8720:{1,2,3,6,7}:{(8269,1),(8314,1),(8360,1),(8402,1),(8970,1),(8985,1),(8996,1),(9002,1),(9306,1),(9547,1)}
8721:{1,2,3,6,7}:{(8272,1),(8313,1),(8359,1),(8404,1),(8971,1),(8986,1),(8994,1),(9003,1),(9295,1)}
8722:{1,2,3,5,6}:{(8268,1),(8320,1),(8364,1),(8403,1),(8471,1),(8883,1),(8973,1),(8989,1),(8993,1),(9280,1),(9328,1),(9548,1)}
8723:{1,2,3,5}:{(8265,1),(8319,1),(8361,1),(8402,1),(8877,1),(8976,1),(8992,1),(9326,1)}
8724:{1,2,3,5,6}:{(8267,1),(8317,1),(8362,1),(8401,1),(8471,1),(8879,1),(8880,1),(8975,1),(8990,1),(8995,1),(9282,1),(9331,1),(9535,1)}
8725:{1,2,3,5}:{(8266,1),(8318,1),(8363,1),(8404,1),(8870,1),(8881,1),(8974,1),(8991,1)}
8726:{1,2,3,6,7}:{(8322,1),(8368,1),(8408,1),(8438,1),(8947,1),(8957,1),(8999,1),(9001,1),(9297,1),(9574,1)}
8727:{2,3,6,7}:{(8321,1),(8366,1),(8405,1),(8946,1),(8959,1),(9000,1),(9004,1),(9308,1),(9572,1)}
8728:{2,3,6,7}:{(8323,1),(8365,1),(8406,1),(8945,1),(8960,1),(8997,1),(9003,1),(9295,1)}
8729:{1,2,3,6,7}:{(8324,1),(8367,1),(8407,1),(8438,1),(8948,1),(8958,1),(8998,1),(9002,1),(9306,1)}
8730:{2,3,5}:{(8325,1),(8372,1),(8406,1),(8877,1),(8951,1),(8961,1)}
8731:{1,2,3,5}:{(8326,1),(8369,1),(8408,1),(8439,1),(8874,1),(8952,1),(8964,1),(9338,1)}
8732:{2,3,5}:{(8328,1),(8370,1),(8405,1),(8871,1),(8950,1),(8962,1),(9325,1)}
8733:{1,2,3,5}:{(8327,1),(8371,1),(8407,1),(8439,1),(8881,1),(8949,1),(8963,1)}
8734:{2,3,6}:{(8331,1),(8374,1),(8410,1),(8870,1),(9003,1)}
8735:{1,2,3,6}:{(8329,1),(8373,1),(8409,1),(8441,1),(8872,1),(9002,1)}
8736:{1,2,3,6}:{(8330,1),(8376,1),(8411,1),(8441,1),(8882,1),(9001,1)}
8737:{2,3,6}:{(8332,1),(8375,1),(8412,1),(8878,1),(9004,1)}
8738:{1,2,3,5}:{(8334,1),(8378,1),(8409,1),(8442,1),(8869,1),(9017,1),(9336,1)}
8739:{2,3,5}:{(8336,1),(8380,1),(8410,1),(8873,1),(9020,1),(9339,1)}
8740:{2,3,5}:{(8333,1),(8379,1),(8412,1),(8883,1),(9018,1),(9328,1)}
8741:{1,2,3,5}:{(8335,1),(8377,1),(8411,1),(8442,1),(8879,1),(9019,1),(9331,1)}
8742:{1,2,3,4,7}:{(8337,1),(8383,1),(8411,1),(8445,1),(9001,1),(9005,1),(9016,1),(9019,1),(9321,1),(9573,1)}
8743:{1,2,3,4,7}:{(8338,1),(8381,1),(8409,1),(8445,1),(9002,1),(9006,1),(9015,1),(9017,1),(9315,1)}
8744:{2,3,4,7}:{(8339,1),(8382,1),(8410,1),(9003,1),(9008,1),(9014,1),(9020,1),(9322,1)}
8745:{2,3,4,7}:{(8340,1),(8384,1),(8412,1),(9004,1),(9007,1),(9013,1),(9018,1),(9316,1),(9534,1)}
8746:{1,2,3,7}:{(8274,1),(8308,1),(8415,1),(8840,1),(8841,1),(8857,1),(8866,1)}
8747:{1,2,3,4,7}:{(8275,1),(8307,1),(8414,1),(8473,1),(8839,1),(8843,1),(8853,1),(8856,1),(9009,1),(9034,1),(9317,1),(9570,1),(9571,1)}
8748:{1,2,3,5,7}:{(8276,1),(8306,1),(8413,1),(8476,1),(8838,1),(8845,1),(8859,1),(8868,1),(9010,1)}
8749:{1,2,3,4,5,7}:{(8273,1),(8305,1),(8416,1),(8473,1),(8476,1),(8850,1),(8851,1),(8855,1),(8865,1),(9012,1),(9034,1),(9039,1),(9319,1),(9320,1),(9361,1),(9529,1),(9566,1)}
8750:{4,7}:{(8419,1),(8436,1),(9021,1)}
8751:{4,5}:{(8419,1),(8435,1),(9023,1)}
8752:{3,6}:{(8424,1),(8447,1)}
8753:{3,5}:{(8427,1),(8446,1)}
8754:{3,6}:{(8426,1),(8448,1)}
8755:{3,4,6,7}:{(8425,1),(8427,1),(8438,1),(8449,1),(8886,1),(8888,1),(9024,1),(9026,1)}
8756:{3,4}:{(8419,1),(8439,1),(8964,1)}
8757:{2,5,7}:{(8417,1),(8428,1),(8431,1),(8890,1)}
8758:{2,5,6}:{(8418,1),(8428,1),(8430,1),(8891,1)}
8759:{4,5,7}:{(8432,1),(8437,1),(8893,1),(8896,1),(8899,1),(8900,1),(9028,1)}
8760:{2,3,5,7}:{(8420,1),(8435,1),(8444,1),(8458,1),(8903,1),(8910,1),(9022,1),(9024,1)}
8761:{2,3,5,6}:{(8421,1),(8435,1),(8443,1),(8459,1),(8906,1),(8909,1),(9023,1),(9025,1),(9358,1)}
8762:{2,3,5,6}:{(8422,1),(8436,1),(8440,1),(8460,1),(8911,1),(9021,1)}
8763:{2,3,5,6}:{(8423,1),(8434,1),(8437,1),(8461,1),(8908,1),(9028,1),(9030,1),(9357,1)}
8764:{2,3,5,7}:{(8424,1),(8438,1),(8439,1),(8462,1),(8918,1),(9024,1),(9026,1),(9029,1)}
8765:{2,3,7}:{(8425,1),(8441,1),(8463,1)}
8766:{2,3,5,7}:{(8426,1),(8442,1),(8445,1),(8464,1),(8917,1),(9030,1),(9031,1),(9033,1)}
8767:{2,3,4,6}:{(8427,1),(8441,1),(8445,1),(8465,1),(8922,1),(8923,1),(9030,1),(9031,1)}
8768:{3,4}:{(8432,1),(8442,1),(9017,1)}
8769:{1,4,5,7}:{(8417,1),(8446,1),(8449,1),(8458,1),(8926,1),(8935,1),(9022,1),(9024,1)}
8770:{1,4,5,6}:{(8418,1),(8446,1),(8448,1),(8459,1),(8928,1),(8938,1),(9023,1),(9025,1),(9376,1)}
8771:{1,5,7}:{(8420,1),(8450,1),(8454,1),(8929,1)}
8772:{1,5,6}:{(8421,1),(8450,1),(8453,1),(8931,1)}
8773:{1,4}:{(8419,1),(8469,1),(8961,1)}
8774:{1,3,5,6}:{(8422,1),(8451,1),(8455,1),(8456,1),(8929,1),(8932,1),(8945,1),(8948,1),(9261,1),(9264,1),(9276,1)}
8775:{1,3,5,6}:{(8423,1),(8452,1),(8457,1),(8938,1),(8940,1),(8954,1),(8955,1)}
8776:{1,2,4,5}:{(8428,1),(8446,1),(8465,1),(8898,1),(8900,1),(8973,1),(8976,1),(9031,1),(9330,1)}
8777:{1,2,4,5,6}:{(8429,1),(8447,1),(8460,1),(8462,1),(8925,1),(8926,1),(8965,1),(8966,1),(8979,1),(9021,1),(9029,1),(9253,1),(9256,1),(9366,1),(9530,1),(9532,1)}
8778:{1,2,4,6}:{(8430,1),(8448,1),(8461,1),(8464,1),(8984,1),(9028,1),(9030,1),(9397,1)}
8779:{1,2,4,6,7}:{(8431,1),(8449,1),(8463,1),(8465,1),(8470,1),(8893,1),(8894,1),(8965,1),(9032,1),(9036,1),(9254,1),(9258,1),(9310,1),(9315,1),(9552,1)}
8780:{1,2,5,6}:{(8433,1),(8451,1),(8466,1),(8468,1),(8929,1),(8932,1),(8970,1),(8971,1),(9277,1),(9292,1)}
8781:{1,2,6}:{(8434,1),(8452,1),(8467,1)}
8782:{1,4}:{(8432,1),(8471,1),(9018,1)}
8783:{1,2,3,5}:{(8435,1),(8450,1),(8474,1),(8949,1),(8951,1),(8974,1),(8976,1),(9035,1),(9326,1)}
8784:{1,2,3,5,7}:{(8436,1),(8455,1),(8466,1),(8469,1),(8472,1),(8997,1),(9034,1),(9041,1)}
8785:{1,2,3,5,7}:{(8437,1),(8457,1),(8467,1),(8471,1),(8475,1),(8973,1),(8975,1),(9007,1),(9038,1),(9042,1),(9279,1),(9281,1),(9328,1),(9331,1),(9561,1),(9568,1)}
8786:{1,2,3,6}:{(8440,1),(8456,1),(8468,1),(8473,1),(8945,1),(8948,1),(8970,1),(8971,1),(9295,1),(9307,1)}
8787:{1,2,3,6}:{(8443,1),(8453,1),(8477,1),(8953,1),(8956,1),(8981,1),(8984,1)}
8788:{1,2,3,4,6,7}:{(8444,1),(8454,1),(8472,1),(8474,1),(8476,1),(8958,1),(8960,1),(8985,1),(8986,1),(9010,1),(9012,1),(9034,1),(9039,1),(9319,1),(9320,1),(9364,1),(9513,1),(9547,1)}
8789:{5,6}:{(8487,1),(8584,1)}
8790:{5}:{(8488,1)}
8791:{5,7}:{(8486,1),(8587,1)}
8792:{3,5,6,7}:{(8485,1),(8576,1),(8583,1),(8586,1),(9059,1)}
8793:{3,5}:{(8489,1),(8575,1),(9072,1)}
8794:{4,5,6,7}:{(8483,1),(8581,1),(8585,1),(8588,1),(9057,1),(9141,1)}
8795:{4,5,6}:{(8482,1),(8579,1),(8585,1),(9053,1)}
8796:{3,4,5,7}:{(8491,1),(8574,1),(8578,1),(8589,1),(9049,1),(9061,1),(9140,1),(9144,1),(9417,1)}
8797:{4,5}:{(8479,1),(8580,1),(9043,1)}
8798:{3,4,5,6}:{(8481,1),(8577,1),(8579,1),(8582,1),(9044,1),(9062,1),(9142,1),(9146,1),(9416,1)}
8799:{3,5,7}:{(8492,1),(8574,1),(8586,1),(9066,1)}
8800:{3,5,6}:{(8493,1),(8577,1),(8583,1),(9069,1)}
8801:{3,4,5,6,7}:{(8490,1),(8576,1),(8581,1),(8582,1),(8589,1),(9048,1),(9070,1),(9141,1),(9145,1),(9428,1)}
8802:{5,6,7}:{(8484,1),(8584,1),(8587,1)}
8803:{4,5,7}:{(8480,1),(8578,1),(8588,1),(9047,1),(9140,1)}
8804:{3,4,5}:{(8478,1),(8575,1),(8580,1),(9056,1),(9068,1),(9139,1),(9143,1),(9402,1)}
8805:{2,6}:{(8488,1),(8508,1),(9050,1)}
8806:{2,6,7}:{(8480,1),(8505,1),(8618,1),(9047,1)}
8807:{2,3,6}:{(8489,1),(8500,1),(8600,1),(9045,1),(9096,1)}
8808:{2,3,4,6,7}:{(8492,1),(8498,1),(8601,1),(8611,1),(8621,1),(9055,1),(9091,1),(9149,1),(9159,1),(9413,1),(9477,1)}
8809:{2,4,6,7}:{(8486,1),(8495,1),(8613,1),(8619,1),(9052,1),(9148,1)}
8810:{2,6}:{(8487,1),(8501,1)}
8811:{2,3,6}:{(8493,1),(8494,1),(8599,1),(9106,1)}
8812:{2,3,6,7}:{(8490,1),(8503,1),(8598,1),(8620,1),(9105,1)}
8813:{2,3,4,6,7}:{(8485,1),(8497,1),(8598,1),(8613,1),(8621,1),(9054,1),(9101,1),(9148,1),(9161,1),(9468,1)}
8814:{2,3,4,6}:{(8478,1),(8509,1),(8600,1),(8610,1),(9056,1),(9093,1),(9150,1),(9162,1),(9402,1)}
8815:{2,6,7}:{(8483,1),(8506,1),(8618,1)}
8816:{2,3,4,6}:{(8481,1),(8504,1),(8599,1),(8612,1),(9044,1),(9099,1),(9147,1),(9160,1),(9416,1)}
8817:{2,3,6,7}:{(8491,1),(8502,1),(8601,1),(8620,1),(9049,1),(9100,1)}
8818:{2,4,6}:{(8479,1),(8496,1),(8612,1),(9043,1)}
8819:{2,4,6,7}:{(8484,1),(8499,1),(8611,1),(8619,1),(9058,1),(9149,1)}
8820:{2,4,6}:{(8482,1),(8507,1),(8610,1),(9053,1)}
8821:{1,4,6}:{(8478,1),(8525,1),(8566,1),(9068,1)}
8822:{1,4,6}:{(8479,1),(8515,1),(8570,1),(9067,1),(9086,1)}
8823:{1,4,6}:{(8487,1),(8516,1),(8567,1),(9071,1),(9077,1),(9095,1)}
8824:{1,4,6,7}:{(8480,1),(8511,1),(8565,1),(8655,1),(9074,1),(9087,1),(9092,1),(9472,1)}
8825:{1,4,6,7}:{(8485,1),(8522,1),(8558,1),(8657,1),(9059,1),(9078,1)}
8826:{1,4,6,7}:{(8491,1),(8524,1),(8564,1),(8654,1),(9061,1),(9081,1),(9100,1)}
8827:{1,4,6}:{(8482,1),(8510,1),(8571,1),(9084,1)}
8828:{1,4,6}:{(8493,1),(8512,1),(8559,1),(9069,1),(9106,1)}
8829:{1,4,6}:{(8488,1),(8523,1),(8572,1),(9064,1),(9076,1),(9098,1),(9437,1)}
8830:{1,4,6}:{(8489,1),(8517,1),(8561,1),(9072,1),(9096,1),(9445,1)}
8831:{1,4,6,7}:{(8492,1),(8520,1),(8562,1),(8657,1),(9066,1),(9085,1),(9420,1)}
8832:{1,4,6,7}:{(8483,1),(8518,1),(8563,1),(8655,1),(9080,1),(9102,1),(9465,1)}
8833:{1,4,6,7}:{(8484,1),(8513,1),(8560,1),(8656,1),(9063,1),(9088,1),(9432,1)}
8834:{1,4,6,7}:{(8486,1),(8514,1),(8569,1),(8656,1),(9073,1),(9090,1),(9425,1)}
8835:{1,4,6}:{(8481,1),(8519,1),(8568,1)}
8836:{1,4,6,7}:{(8490,1),(8521,1),(8573,1),(8654,1),(9083,1),(9105,1)}
8837:{1,3,5,7}:{(8522,1),(8528,1),(8595,1),(8676,1),(9078,1)}
8838:{3,5,7}:{(8518,1),(8535,1),(8677,1),(9080,1)}
8839:{3,4,7}:{(8515,1),(8537,1),(8673,1),(9086,1),(9107,1)}
8840:{3,7}:{(8511,1),(8529,1)}
8841:{1,3,7}:{(8524,1),(8540,1),(8594,1)}
8842:{1,3,4,5,7}:{(8512,1),(8538,1),(8596,1),(8672,1),(8676,1),(9082,1),(9115,1),(9172,1),(9179,1),(9430,1)}
8843:{1,3,4,7}:{(8525,1),(8534,1),(8597,1),(8670,1),(9075,1),(9114,1)}
8844:{3,5,7}:{(8513,1),(8539,1),(8674,1),(9088,1)}
8845:{1,3,5,7}:{(8521,1),(8530,1),(8595,1),(8675,1),(9083,1)}
8846:{3,7}:{(8514,1),(8533,1)}
8847:{3,4,7}:{(8523,1),(8527,1),(8671,1),(9076,1),(9121,1),(9181,1)}
8848:{1,3,4,7}:{(8517,1),(8526,1),(8597,1),(8672,1),(9089,1),(9118,1),(9179,1)}
8849:{3,4,5,7}:{(8516,1),(8532,1),(8671,1),(8674,1),(9077,1),(9109,1),(9171,1),(9181,1),(9431,1)}
8850:{3,4,5,7}:{(8510,1),(8531,1),(8673,1),(8677,1),(9084,1),(9112,1),(9173,1),(9180,1),(9418,1),(9486,1)}
8851:{1,3,4,5,7}:{(8519,1),(8541,1),(8596,1),(8670,1),(8675,1),(9079,1),(9108,1),(9174,1),(9182,1),(9427,1),(9493,1)}
8852:{1,3,7}:{(8520,1),(8536,1),(8594,1)}
8853:{1,2,4,7}:{(8496,1),(8515,1),(8556,1),(8701,1),(9097,1),(9107,1)}
8854:{1,2,7}:{(8500,1),(8517,1),(8545,1),(9096,1)}
8855:{1,2,4,5,7}:{(8504,1),(8519,1),(8554,1),(8701,1),(8708,1),(9099,1),(9108,1),(9192,1),(9202,1),(9439,1),(9493,1)}
8856:{1,2,4,7}:{(8509,1),(8525,1),(8550,1),(8699,1),(9093,1),(9114,1)}
8857:{1,2,7}:{(8505,1),(8511,1),(8544,1),(9120,1)}
8858:{1,2,4,7}:{(8498,1),(8520,1),(8552,1),(8700,1),(9113,1),(9201,1)}
8859:{1,2,5,7}:{(8503,1),(8521,1),(8543,1),(8708,1),(9105,1)}
8860:{1,2,4,7}:{(8495,1),(8514,1),(8551,1),(8698,1),(9117,1),(9200,1)}
8861:{1,2,5,7}:{(8494,1),(8512,1),(8557,1),(8709,1),(9106,1)}
8862:{1,2,4,5,7}:{(8497,1),(8522,1),(8555,1),(8698,1),(8709,1),(9101,1),(9122,1),(9191,1),(9200,1),(9438,1)}
8863:{1,2,4,5,7}:{(8499,1),(8513,1),(8547,1),(8700,1),(8707,1),(9103,1),(9116,1),(9193,1),(9201,1),(9447,1),(9489,1)}
8864:{1,2,7}:{(8508,1),(8523,1),(8548,1),(9098,1),(9121,1)}
8865:{1,2,4,5,7}:{(8507,1),(8510,1),(8553,1),(8699,1),(8706,1),(9094,1),(9112,1),(9194,1),(9199,1),(9434,1),(9486,1)}
8866:{1,2,7}:{(8502,1),(8524,1),(8549,1)}
8867:{1,2,5,7}:{(8501,1),(8516,1),(8546,1),(8707,1),(9095,1),(9109,1)}
8868:{1,2,5,7}:{(8506,1),(8518,1),(8542,1),(8706,1),(9102,1),(9111,1)}
8869:{1,2,3,6}:{(8540,1),(8549,1),(8632,1),(8738,1),(9110,1),(9136,1)}
8870:{2,3,5}:{(8531,1),(8553,1),(8734,1),(9127,1)}
8871:{2,3}:{(8527,1),(8548,1),(9124,1)}
8872:{1,2,3,5}:{(8541,1),(8554,1),(8633,1),(8735,1),(9135,1)}
8873:{2,3,6}:{(8529,1),(8544,1),(8739,1),(9120,1),(9123,1)}
8874:{1,2,3}:{(8526,1),(8545,1),(8630,1),(9138,1)}
8875:{1,2,3,5,6}:{(8528,1),(8555,1),(8631,1),(8736,1),(8741,1),(9122,1),(9134,1),(9220,1),(9226,1),(9500,1)}
8876:{2,3,5,6}:{(8535,1),(8542,1),(8734,1),(8739,1),(9111,1),(9128,1),(9221,1),(9225,1),(9506,1)}
8877:{2,3}:{(8537,1),(8556,1)}
8878:{2,3,5}:{(8532,1),(8546,1),(8737,1),(9125,1)}
8879:{1,2,3,6}:{(8536,1),(8552,1),(8632,1),(8741,1),(9113,1),(9133,1)}
8880:{2,3,5,6}:{(8539,1),(8547,1),(8737,1),(8740,1),(9116,1),(9137,1),(9219,1),(9223,1),(9507,1)}
8881:{1,2,3}:{(8534,1),(8550,1),(8630,1)}
8882:{1,2,3,5}:{(8538,1),(8557,1),(8633,1),(8736,1),(9132,1)}
8883:{2,3,6}:{(8533,1),(8551,1),(8740,1),(9117,1),(9131,1)}
8884:{1,2,3,5,6}:{(8530,1),(8543,1),(8631,1),(8735,1),(8738,1),(9119,1),(9130,1),(9222,1),(9224,1),(9502,1)}
8885:{3,6,7}:{(8594,1),(8638,1),(8754,1),(9144,1)}
8886:{3,4,6}:{(8596,1),(8639,1),(8752,1),(9146,1),(9160,1)}
8887:{3,4,6}:{(8597,1),(8641,1),(8752,1),(9143,1),(9162,1),(9402,1)}
8888:{3,6,7}:{(8595,1),(8640,1),(8754,1)}
8889:{2,5}:{(8575,1),(8600,1)}
8890:{2,5,6}:{(8577,1),(8599,1),(8757,1)}
8891:{2,5,7}:{(8574,1),(8601,1),(8758,1)}
8892:{2,5,6,7}:{(8576,1),(8598,1),(8757,1),(8758,1)}
8893:{4,7}:{(8603,1),(8629,1)}
8894:{2,4,7}:{(8602,1),(8628,1),(8750,1),(9147,1)}
8895:{2,4,7}:{(8604,1),(8626,1),(8750,1),(9150,1)}
8896:{4,7}:{(8605,1),(8627,1)}
8897:{2,4,5}:{(8604,1),(8609,1),(8751,1),(9155,1),(9168,1)}
8898:{2,4,5}:{(8602,1),(8606,1),(8751,1),(9158,1)}
8899:{4,5}:{(8605,1),(8607,1),(9170,1)}
8900:{4,5}:{(8603,1),(8608,1)}
8901:{2,5,7}:{(8584,1),(8607,1),(8623,1),(9046,1),(9152,1)}
8902:{2,3,5,7}:{(8583,1),(8608,1),(8625,1),(8757,1),(9051,1),(9151,1),(9191,1),(9494,1)}
8903:{2,5,7}:{(8585,1),(8609,1),(8622,1),(9053,1)}
8904:{2,3,5,7}:{(8582,1),(8606,1),(8624,1),(8757,1),(9044,1),(9154,1),(9192,1)}
8905:{2,3,5,6}:{(8586,1),(8608,1),(8621,1),(8758,1),(9055,1),(9156,1),(9197,1),(9507,1)}
8906:{2,5,6}:{(8588,1),(8609,1),(8618,1),(9047,1),(9155,1)}
8907:{2,3,5,6}:{(8589,1),(8606,1),(8620,1),(8758,1),(9049,1),(9158,1),(9195,1),(9505,1)}
8908:{2,5,6}:{(8587,1),(8607,1),(8619,1),(9052,1),(9157,1)}
8909:{2,3,5,7}:{(8578,1),(8637,1),(8689,1),(8761,1),(9047,1),(9140,1),(9144,1),(9406,1)}
8910:{2,3,5,6}:{(8579,1),(8635,1),(8688,1),(8760,1),(9053,1),(9142,1),(9146,1)}
8911:{2,3,5}:{(8580,1),(8634,1),(8686,1),(9043,1),(9139,1),(9143,1)}
8912:{2,3,5,6,7}:{(8581,1),(8636,1),(8687,1),(8760,1),(8761,1),(9057,1),(9141,1),(9145,1),(9408,1)}
8913:{2,3,5,6}:{(8592,1),(8612,1),(8628,1),(8691,1),(9043,1),(9147,1),(9160,1),(9415,1)}
8914:{2,3,5,6,7}:{(8590,1),(8611,1),(8627,1),(8692,1),(8763,1),(9055,1),(9058,1),(9149,1),(9159,1),(9410,1)}
8915:{2,3,5,6,7}:{(8593,1),(8613,1),(8629,1),(8690,1),(8763,1),(9052,1),(9148,1),(9161,1),(9401,1)}
8916:{2,3,5,6}:{(8591,1),(8610,1),(8626,1),(8693,1),(9053,1),(9056,1),(9150,1),(9162,1)}
8917:{2,3,7}:{(8594,1),(8632,1),(8695,1),(9164,1)}
8918:{2,3,7}:{(8597,1),(8630,1),(8696,1),(9162,1)}
8919:{2,3,5,7}:{(8596,1),(8633,1),(8694,1),(8765,1),(9160,1),(9163,1),(9415,1)}
8920:{2,3,5,7}:{(8595,1),(8631,1),(8697,1),(8765,1),(9161,1),(9165,1),(9401,1)}
8921:{2,3,4}:{(8604,1),(8630,1),(8756,1),(9138,1),(9168,1)}
8922:{3,4,6}:{(8603,1),(8631,1),(8768,1),(9130,1),(9165,1),(9169,1)}
8923:{2,3,4}:{(8602,1),(8633,1),(8756,1),(9132,1)}
8924:{3,4,6}:{(8605,1),(8632,1),(8768,1),(9136,1),(9164,1),(9170,1),(9405,1)}
8925:{1,4,5}:{(8575,1),(8641,1),(8686,1),(9072,1),(9139,1),(9143,1)}
8926:{1,4,5,6}:{(8577,1),(8639,1),(8688,1),(8769,1),(9069,1),(9142,1),(9146,1)}
8927:{1,4,5,6,7}:{(8576,1),(8640,1),(8687,1),(8769,1),(8770,1),(9059,1),(9141,1),(9145,1),(9422,1)}
8928:{1,4,5,7}:{(8574,1),(8638,1),(8689,1),(8770,1),(9066,1),(9140,1),(9144,1),(9420,1)}
8929:{1,5,6}:{(8579,1),(8661,1),(8771,1)}
8930:{1,5,6,7}:{(8581,1),(8659,1),(8771,1),(8772,1)}
8931:{1,5,7}:{(8578,1),(8658,1),(8772,1)}
8932:{1,5}:{(8580,1),(8660,1)}
8933:{1,5,7}:{(8584,1),(8644,1),(8665,1),(9071,1),(9171,1)}
8934:{1,4,5,7}:{(8585,1),(8642,1),(8662,1),(8771,1),(9065,1),(9173,1),(9194,1),(9486,1)}
8935:{1,5,7}:{(8583,1),(8643,1),(8664,1),(9069,1)}
8936:{1,4,5,7}:{(8582,1),(8645,1),(8663,1),(8771,1),(9062,1),(9174,1),(9192,1)}
8937:{1,4,5,6}:{(8589,1),(8645,1),(8654,1),(8772,1),(9061,1),(9177,1),(9195,1),(9243,1)}
8938:{1,5,6}:{(8586,1),(8643,1),(8657,1),(9066,1)}
8939:{1,4,5,6}:{(8588,1),(8642,1),(8655,1),(8772,1),(9074,1),(9178,1),(9198,1),(9243,1),(9508,1)}
8940:{1,5,6}:{(8587,1),(8644,1),(8656,1),(9073,1),(9176,1)}
8941:{1,3,5,6,7}:{(8593,1),(8649,1),(8666,1),(8775,1),(9059,1),(9073,1),(9078,1),(9090,1)}
8942:{1,3,4,5,6}:{(8592,1),(8647,1),(8669,1),(8774,1),(9062,1),(9067,1),(9079,1),(9086,1),(9213,1),(9241,1),(9421,1),(9427,1)}
8943:{1,3,5,6,7}:{(8590,1),(8646,1),(8668,1),(8775,1),(9063,1),(9066,1),(9085,1),(9088,1)}
8944:{1,3,4,5,6}:{(8591,1),(8648,1),(8667,1),(8774,1),(9065,1),(9068,1),(9075,1),(9084,1),(9211,1),(9241,1),(9418,1)}
8945:{3,6}:{(8652,1),(8673,1)}
8946:{3,6}:{(8651,1),(8671,1)}
8947:{1,3,6}:{(8650,1),(8672,1),(8752,1)}
8948:{1,3,6}:{(8653,1),(8670,1),(8752,1)}
8949:{1,3,5}:{(8645,1),(8682,1),(8753,1)}
8950:{3,5}:{(8644,1),(8684,1),(9186,1)}
8951:{3,5}:{(8642,1),(8683,1)}
8952:{1,3,5}:{(8643,1),(8685,1),(8753,1),(9183,1)}
8953:{1,3,6}:{(8654,1),(8679,1),(8754,1)}
8954:{1,3,6}:{(8657,1),(8678,1),(8754,1)}
8955:{3,6}:{(8656,1),(8680,1)}
8956:{3,6}:{(8655,1),(8681,1)}
8957:{1,3,4,6,7}:{(8664,1),(8676,1),(8685,1),(8726,1),(8755,1),(9078,1),(9082,1),(9172,1),(9179,1),(9422,1)}
8958:{1,3,4,6,7}:{(8663,1),(8675,1),(8682,1),(8729,1),(8755,1),(9079,1),(9083,1),(9174,1),(9182,1)}
8959:{3,4,6,7}:{(8665,1),(8674,1),(8684,1),(8727,1),(9077,1),(9088,1),(9171,1),(9181,1),(9432,1)}
8960:{3,4,6,7}:{(8662,1),(8677,1),(8683,1),(8728,1),(9080,1),(9084,1),(9173,1),(9180,1)}
8961:{3,4}:{(8730,1),(8773,1)}
8962:{4}:{(8732,1)}
8963:{1,3,4}:{(8733,1),(8756,1),(8773,1)}
8964:{1,4}:{(8731,1),(8756,1)}
8965:{1,2,4,6}:{(8599,1),(8639,1),(8691,1),(8694,1),(9106,1),(9147,1),(9160,1)}
8966:{1,2,4,6}:{(8600,1),(8641,1),(8693,1),(8696,1),(9096,1),(9150,1),(9162,1),(9190,1)}
8967:{1,2,4,6,7}:{(8601,1),(8638,1),(8692,1),(8695,1),(8778,1),(9100,1),(9149,1),(9159,1),(9187,1),(9473,1)}
8968:{1,2,4,6,7}:{(8598,1),(8640,1),(8690,1),(8697,1),(8778,1),(9105,1),(9148,1),(9161,1),(9467,1)}
8969:{1,2,6,7}:{(8611,1),(8646,1),(8700,1),(8781,1)}
8970:{1,2,6}:{(8612,1),(8647,1),(8701,1)}
8971:{1,2,6}:{(8610,1),(8648,1),(8699,1)}
8972:{1,2,6,7}:{(8613,1),(8649,1),(8698,1),(8781,1)}
8973:{1,2,5}:{(8608,1),(8643,1),(8715,1),(9205,1)}
8974:{1,2,5}:{(8609,1),(8642,1),(8716,1),(9225,1)}
8975:{1,2,5}:{(8607,1),(8644,1),(8714,1),(9206,1),(9223,1)}
8976:{1,2,5}:{(8606,1),(8645,1),(8717,1)}
8977:{1,2,4,5,6}:{(8615,1),(8652,1),(8705,1),(8780,1),(9065,1),(9067,1),(9094,1),(9097,1),(9217,1),(9241,1),(9434,1)}
8978:{1,2,5,6}:{(8614,1),(8651,1),(8702,1),(9064,1),(9071,1),(9095,1),(9098,1),(9215,1)}
8979:{1,2,5,6}:{(8616,1),(8650,1),(8704,1),(9069,1),(9072,1),(9096,1),(9106,1)}
8980:{1,2,4,5,6}:{(8617,1),(8653,1),(8703,1),(8780,1),(9062,1),(9068,1),(9093,1),(9099,1),(9216,1),(9241,1),(9439,1)}
8981:{1,2,6}:{(8618,1),(8655,1),(8712,1),(9221,1)}
8982:{1,2,4,6}:{(8619,1),(8656,1),(8710,1),(8781,1),(9196,1),(9219,1),(9244,1),(9512,1)}
8983:{1,2,4,6}:{(8621,1),(8657,1),(8711,1),(8781,1),(9197,1),(9220,1),(9244,1)}
8984:{1,2,6}:{(8620,1),(8654,1),(8713,1)}
8985:{1,2,4,6,7}:{(8624,1),(8663,1),(8708,1),(8717,1),(8720,1),(9099,1),(9105,1),(9192,1),(9202,1)}
8986:{1,2,4,6,7}:{(8622,1),(8662,1),(8706,1),(8716,1),(8721,1),(9094,1),(9102,1),(9194,1),(9199,1),(9227,1)}
8987:{1,2,4,6,7}:{(8623,1),(8665,1),(8707,1),(8714,1),(8718,1),(9095,1),(9193,1),(9201,1),(9228,1),(9442,1)}
8988:{1,2,4,6,7}:{(8625,1),(8664,1),(8709,1),(8715,1),(8719,1),(9106,1),(9191,1),(9200,1),(9444,1)}
8989:{1,4,6}:{(8603,1),(8722,1),(8782,1),(9131,1),(9200,1),(9205,1)}
8990:{1,4,6}:{(8605,1),(8724,1),(8782,1),(9137,1),(9201,1),(9206,1)}
8991:{1,2,4}:{(8604,1),(8725,1),(8773,1),(9127,1)}
8992:{1,2,4}:{(8602,1),(8723,1),(8773,1),(9126,1)}
8993:{1,2,3,5,7}:{(8629,1),(8666,1),(8698,1),(8719,1),(8722,1),(9117,1),(9191,1),(9200,1),(9494,1)}
8994:{1,2,3,5,7}:{(8626,1),(8667,1),(8699,1),(8721,1),(8725,1),(9112,1),(9114,1),(9194,1),(9199,1),(9211,1)}
8995:{1,2,3,5,7}:{(8627,1),(8668,1),(8700,1),(8718,1),(8724,1),(9113,1),(9116,1),(9193,1),(9201,1),(9483,1)}
8996:{1,2,3,5,7}:{(8628,1),(8669,1),(8701,1),(8720,1),(8723,1),(9107,1),(9192,1),(9202,1),(9213,1),(9487,1)}
8997:{2,3,5,7}:{(8673,1),(8705,1),(8728,1),(8730,1),(9107,1),(9173,1),(9180,1),(9217,1)}
8998:{1,2,3,5,7}:{(8670,1),(8703,1),(8729,1),(8733,1),(8764,1),(9114,1),(9174,1),(9182,1),(9216,1)}
8999:{1,2,3,5,7}:{(8672,1),(8704,1),(8726,1),(8731,1),(8764,1),(9118,1),(9172,1),(9179,1),(9218,1),(9482,1)}
9000:{2,3,5,7}:{(8671,1),(8702,1),(8727,1),(8732,1),(9121,1),(9171,1),(9181,1),(9215,1),(9484,1)}
9001:{1,2,3,7}:{(8676,1),(8709,1),(8736,1),(8765,1)}
9002:{1,2,3,7}:{(8675,1),(8708,1),(8735,1),(8765,1)}
9003:{2,3,7}:{(8677,1),(8706,1),(8734,1)}
9004:{2,3,7}:{(8674,1),(8707,1),(8737,1)}
9005:{1,2,3,5,7}:{(8678,1),(8711,1),(8741,1),(8742,1),(8766,1),(9113,1),(9220,1),(9226,1),(9232,1)}
9006:{1,2,3,5,7}:{(8679,1),(8713,1),(8738,1),(8743,1),(8766,1),(9110,1),(9222,1),(9224,1),(9231,1)}
9007:{2,3,5,7}:{(8680,1),(8710,1),(8740,1),(8745,1),(9117,1),(9219,1),(9223,1),(9234,1)}
9008:{2,3,5,7}:{(8681,1),(8712,1),(8739,1),(8744,1),(9120,1),(9221,1),(9225,1),(9233,1)}
9009:{1,2,3,4,6}:{(8634,1),(8660,1),(8747,1),(8786,1),(9075,1),(9086,1),(9093,1),(9097,1),(9210,1),(9241,1),(9470,1)}
9010:{1,2,3,6,7}:{(8636,1),(8659,1),(8748,1),(8787,1),(9080,1),(9083,1),(9102,1),(9105,1)}
9011:{1,2,3,6,7}:{(8637,1),(8658,1),(8746,1),(8787,1),(9081,1),(9087,1),(9092,1),(9100,1),(9208,1)}
9012:{1,2,3,4,6}:{(8635,1),(8661,1),(8749,1),(8786,1),(9079,1),(9084,1),(9094,1),(9099,1),(9209,1),(9241,1),(9479,1)}
9013:{2,3,4,6}:{(8684,1),(8714,1),(8737,1),(8745,1),(9125,1),(9137,1),(9219,1),(9223,1),(9512,1)}
9014:{2,3,4,6}:{(8683,1),(8716,1),(8734,1),(8744,1),(9127,1),(9128,1),(9221,1),(9225,1)}
9015:{1,2,3,4,6}:{(8682,1),(8717,1),(8735,1),(8743,1),(8767,1),(9130,1),(9135,1),(9222,1),(9224,1)}
9016:{1,2,3,4,6}:{(8685,1),(8715,1),(8736,1),(8742,1),(8767,1),(9132,1),(9134,1),(9220,1),(9226,1),(9497,1)}
9017:{1,4}:{(8738,1),(8768,1)}
9018:{3,4}:{(8740,1),(8782,1)}
9019:{1,3,4}:{(8741,1),(8768,1),(8782,1)}
9020:{4}:{(8739,1)}
9021:{4,6}:{(8750,1),(8762,1),(9139,1)}
9022:{4,5,7}:{(8750,1),(8751,1),(8760,1),(9141,1),(9142,1)}
9023:{4,6}:{(8751,1),(8761,1),(9140,1)}
9024:{3,5,7}:{(8753,1),(8755,1),(8769,1),(9146,1)}
9025:{3,5,6}:{(8753,1),(8754,1),(8770,1),(9144,1),(9237,1)}
9026:{3,4,7}:{(8750,1),(8756,1),(8764,1),(9179,1),(9235,1)}
9027:{3,4,5}:{(8751,1),(8753,1),(8756,1),(9168,1),(9183,1),(9237,1)}
9028:{4,6}:{(8759,1),(8763,1)}
9029:{2,3,5,6}:{(8752,1),(8764,1),(8777,1),(9143,1),(9146,1),(9160,1),(9162,1),(9235,1),(9415,1)}
9030:{2,3,6}:{(8754,1),(8766,1),(8778,1),(9240,1)}
9031:{2,3,5}:{(8753,1),(8767,1),(8776,1),(9169,1)}
9032:{2,3,4,6,7}:{(8755,1),(8765,1),(8767,1),(8779,1),(9160,1),(9161,1),(9163,1),(9165,1),(9238,1),(9416,1)}
9033:{3,4,5,7}:{(8759,1),(8766,1),(8768,1),(9164,1),(9165,1),(9169,1),(9170,1),(9231,1),(9240,1),(9401,1)}
9034:{1,4,7}:{(8750,1),(8773,1),(8784,1),(9180,1),(9241,1)}
9035:{1,4,5}:{(8751,1),(8773,1),(8783,1),(9184,1),(9243,1)}
9036:{1,2,4,5,7}:{(8757,1),(8769,1),(8776,1),(8779,1),(9151,1),(9154,1),(9189,1),(9191,1),(9192,1),(9238,1),(9493,1)}
9037:{1,2,4,5,6}:{(8758,1),(8770,1),(8776,1),(8778,1),(9156,1),(9158,1),(9187,1),(9195,1),(9197,1),(9239,1),(9497,1),(9511,1)}
9038:{1,4,5,7}:{(8759,1),(8782,1),(8785,1),(9200,1),(9201,1),(9205,1),(9206,1),(9234,1),(9244,1)}
9039:{1,2,3,5,7}:{(8760,1),(8771,1),(8783,1),(8788,1),(9173,1),(9174,1),(9192,1),(9194,1),(9209,1),(9242,1),(9487,1)}
9040:{1,2,3,5,6}:{(8761,1),(8772,1),(8783,1),(8787,1),(9177,1),(9178,1),(9195,1),(9198,1),(9208,1),(9243,1),(9499,1),(9505,1)}
9041:{1,2,3,5,6}:{(8762,1),(8774,1),(8780,1),(8784,1),(8786,1),(9210,1),(9217,1),(9241,1)}
9042:{1,2,3,5,6}:{(8763,1),(8775,1),(8781,1),(8785,1),(9196,1),(9197,1),(9219,1),(9220,1),(9244,1),(9500,1),(9507,1)}
9043:{2,5}:{(8797,1),(8818,1)}
9044:{2,3,5,6}:{(8798,1),(8816,1),(8890,1),(8904,1),(9249,1),(9285,1)}
9045:{2,3,5}:{(8793,1),(8807,1),(8889,1),(9245,1),(9278,1),(9523,1)}
9046:{2,5,6}:{(8789,1),(8810,1),(8901,1),(9251,1)}
9047:{2,5,7}:{(8803,1),(8806,1),(8906,1),(9255,1)}
9048:{2,3,5,6,7}:{(8801,1),(8812,1),(8892,1),(8904,1),(8907,1),(9258,1),(9284,1),(9547,1)}
9049:{2,3,5,7}:{(8796,1),(8817,1),(8891,1),(8907,1),(9248,1),(9286,1),(9541,1)}
9050:{2,5}:{(8790,1),(8805,1),(9247,1)}
9051:{2,3,5,6}:{(8800,1),(8811,1),(8890,1),(8902,1),(9254,1),(9280,1),(9548,1)}
9052:{2,5,7}:{(8791,1),(8809,1),(8908,1),(9257,1)}
9053:{2,5,6}:{(8795,1),(8820,1),(8903,1)}
9054:{2,3,5,6,7}:{(8792,1),(8813,1),(8892,1),(8902,1),(8905,1),(9260,1),(9289,1),(9563,1)}
9055:{2,3,5,7}:{(8799,1),(8808,1),(8891,1),(8905,1),(9252,1),(9281,1),(9568,1)}
9056:{2,3,5}:{(8804,1),(8814,1),(8889,1),(9259,1),(9277,1)}
9057:{2,5,6,7}:{(8794,1),(8815,1),(8903,1),(8906,1),(9250,1)}
9058:{2,5,6,7}:{(8802,1),(8819,1),(8901,1),(8908,1),(9246,1)}
9059:{1,5,6,7}:{(8792,1),(8825,1),(8935,1),(8938,1)}
9060:{1,4,5,6,7}:{(8794,1),(8832,1),(8930,1),(8934,1),(8939,1),(9266,1),(9291,1),(9364,1),(9526,1)}
9061:{1,4,5,7}:{(8796,1),(8826,1),(8931,1),(8937,1),(9275,1),(9286,1),(9362,1)}
9062:{1,4,5,6}:{(8798,1),(8835,1),(8929,1),(8936,1),(9274,1),(9285,1),(9552,1)}
9063:{1,5,6,7}:{(8802,1),(8833,1),(8933,1),(8940,1),(9265,1)}
9064:{1,5}:{(8790,1),(8829,1),(9272,1)}
9065:{1,4,5,6}:{(8795,1),(8827,1),(8929,1),(8934,1),(9261,1),(9287,1),(9556,1)}
9066:{1,5,7}:{(8799,1),(8831,1),(8938,1)}
9067:{1,4,5}:{(8797,1),(8822,1),(8932,1),(9276,1),(9292,1),(9570,1)}
9068:{1,4,5}:{(8804,1),(8821,1),(8932,1),(9264,1),(9277,1),(9571,1)}
9069:{1,5,6}:{(8800,1),(8828,1),(8935,1)}
9070:{1,4,5,6,7}:{(8801,1),(8836,1),(8930,1),(8936,1),(8937,1),(9273,1),(9284,1),(9364,1)}
9071:{1,5,6}:{(8789,1),(8823,1),(8933,1),(9263,1)}
9072:{1,5}:{(8793,1),(8830,1)}
9073:{1,5,7}:{(8791,1),(8834,1),(8940,1),(9269,1)}
9074:{1,4,5,7}:{(8803,1),(8824,1),(8931,1),(8939,1),(9262,1),(9288,1),(9362,1),(9555,1)}
9075:{1,3,4,6}:{(8821,1),(8843,1),(8887,1),(8948,1),(9264,1),(9298,1),(9571,1)}
9076:{3,4,6}:{(8829,1),(8847,1),(8946,1),(9272,1),(9301,1),(9368,1),(9514,1)}
9077:{3,4,6}:{(8823,1),(8849,1),(8946,1),(9263,1),(9308,1),(9368,1)}
9078:{1,3,6,7}:{(8825,1),(8837,1),(8888,1),(8954,1)}
9079:{1,3,4,6}:{(8835,1),(8851,1),(8886,1),(8948,1),(9274,1),(9306,1),(9552,1)}
9080:{3,6,7}:{(8832,1),(8838,1),(8956,1)}
9081:{1,3,6,7}:{(8826,1),(8841,1),(8885,1),(8953,1),(9275,1)}
9082:{1,3,4,6}:{(8828,1),(8842,1),(8886,1),(8947,1),(9268,1),(9297,1),(9366,1)}
9083:{1,3,6,7}:{(8836,1),(8845,1),(8888,1),(8953,1)}
9084:{3,4,6}:{(8827,1),(8850,1),(8945,1),(9261,1),(9295,1),(9556,1)}
9085:{1,3,6,7}:{(8831,1),(8852,1),(8885,1),(8954,1),(9270,1)}
9086:{3,4,6}:{(8822,1),(8839,1),(8945,1),(9276,1),(9307,1),(9570,1)}
9087:{3,6,7}:{(8824,1),(8840,1),(8956,1),(9262,1)}
9088:{3,6,7}:{(8833,1),(8844,1),(8955,1)}
9089:{1,3,4,6}:{(8830,1),(8848,1),(8887,1),(8947,1),(9267,1),(9296,1),(9366,1),(9558,1)}
9090:{3,6,7}:{(8834,1),(8846,1),(8955,1),(9269,1)}
9091:{1,2,4,6,7}:{(8808,1),(8831,1),(8858,1),(8969,1),(8983,1),(9281,1),(9299,1),(9377,1),(9573,1)}
9092:{1,2,6,7}:{(8806,1),(8824,1),(8857,1),(8981,1),(9288,1),(9294,1)}
9093:{1,2,4,6}:{(8814,1),(8821,1),(8856,1),(8971,1),(9277,1),(9298,1),(9571,1)}
9094:{1,2,4,6}:{(8820,1),(8827,1),(8865,1),(8971,1),(9287,1),(9295,1),(9556,1)}
9095:{1,2,6}:{(8810,1),(8823,1),(8867,1),(9308,1)}
9096:{1,2,6}:{(8807,1),(8830,1),(8854,1),(9278,1)}
9097:{1,2,4,6}:{(8818,1),(8822,1),(8853,1),(8970,1),(9292,1),(9307,1),(9570,1)}
9098:{1,2,6}:{(8805,1),(8829,1),(8864,1),(9283,1),(9301,1)}
9099:{1,2,4,6}:{(8816,1),(8835,1),(8855,1),(8970,1),(9285,1),(9306,1),(9552,1)}
9100:{1,2,6,7}:{(8817,1),(8826,1),(8866,1),(8984,1),(9286,1)}
9101:{1,2,4,6,7}:{(8813,1),(8825,1),(8862,1),(8972,1),(8983,1),(9289,1),(9300,1),(9380,1)}
9102:{1,2,6,7}:{(8815,1),(8832,1),(8868,1),(8981,1),(9302,1)}
9103:{1,2,4,6,7}:{(8819,1),(8833,1),(8863,1),(8969,1),(8982,1),(9290,1),(9305,1),(9377,1),(9516,1)}
9104:{1,2,4,6,7}:{(8809,1),(8834,1),(8860,1),(8972,1),(8982,1),(9279,1),(9293,1),(9380,1),(9534,1)}
9105:{1,2,6,7}:{(8812,1),(8836,1),(8859,1),(8984,1)}
9106:{1,2,6}:{(8811,1),(8828,1),(8861,1)}
9107:{2,3,7}:{(8839,1),(8853,1),(8877,1),(9307,1)}
9108:{1,2,3,5,7}:{(8851,1),(8855,1),(8872,1),(8919,1),(9002,1),(9306,1),(9318,1),(9543,1)}
9109:{2,3,5,7}:{(8849,1),(8867,1),(8878,1),(9004,1),(9308,1),(9312,1),(9524,1)}
9110:{1,2,3,7}:{(8841,1),(8866,1),(8869,1),(8917,1),(9324,1)}
9111:{2,3,5,7}:{(8838,1),(8868,1),(8876,1),(9003,1),(9302,1),(9322,1),(9557,1)}
9112:{2,3,5,7}:{(8850,1),(8865,1),(8870,1),(9003,1),(9295,1),(9317,1),(9550,1)}
9113:{1,2,3,7}:{(8852,1),(8858,1),(8879,1),(8917,1),(9314,1)}
9114:{1,2,3,7}:{(8843,1),(8856,1),(8881,1),(8918,1),(9298,1)}
9115:{1,2,3,5,7}:{(8842,1),(8861,1),(8882,1),(8919,1),(9001,1),(9297,1),(9310,1),(9532,1)}
9116:{2,3,5,7}:{(8844,1),(8863,1),(8880,1),(9004,1),(9305,1),(9316,1),(9568,1)}
9117:{2,3,7}:{(8846,1),(8860,1),(8883,1),(9309,1)}
9118:{1,2,3,7}:{(8848,1),(8854,1),(8874,1),(8918,1),(9296,1),(9311,1)}
9119:{1,2,3,5,7}:{(8845,1),(8859,1),(8884,1),(8920,1),(9002,1),(9304,1),(9315,1),(9553,1)}
9120:{2,3,7}:{(8840,1),(8857,1),(8873,1),(9323,1)}
9121:{2,3,7}:{(8847,1),(8864,1),(8871,1),(9301,1),(9313,1)}
9122:{1,2,3,5,7}:{(8837,1),(8862,1),(8875,1),(8920,1),(9001,1),(9300,1),(9321,1),(9561,1)}
9123:{4,6}:{(8873,1),(9020,1),(9323,1),(9339,1),(9518,1)}
9124:{2,4}:{(8871,1),(8962,1),(9325,1)}
9125:{2,4}:{(8878,1),(8962,1)}
9126:{2,3,4}:{(8877,1),(8961,1),(8992,1),(9326,1)}
9127:{2,3,4}:{(8870,1),(8961,1),(8991,1)}
9128:{4,6}:{(8876,1),(9020,1),(9322,1),(9337,1)}
9129:{1,2,3,4}:{(8881,1),(8921,1),(8963,1),(8991,1),(9327,1)}
9130:{1,4,6}:{(8884,1),(8922,1),(9017,1),(9315,1),(9330,1)}
9131:{3,4,6}:{(8883,1),(8989,1),(9018,1),(9309,1),(9328,1),(9548,1)}
9132:{1,2,4}:{(8882,1),(8923,1),(8964,1)}
9133:{1,3,4,6}:{(8879,1),(8924,1),(8990,1),(9019,1),(9314,1),(9331,1),(9535,1)}
9134:{1,3,4,6}:{(8875,1),(8922,1),(8989,1),(9019,1),(9321,1),(9335,1)}
9135:{1,2,3,4}:{(8872,1),(8923,1),(8963,1),(8992,1)}
9136:{1,4,6}:{(8869,1),(8924,1),(9017,1),(9324,1),(9336,1),(9544,1)}
9137:{3,4,6}:{(8880,1),(8990,1),(9018,1),(9316,1),(9340,1)}
9138:{1,2,4}:{(8874,1),(8921,1),(8964,1),(9338,1)}
9139:{4,5}:{(8911,1),(9021,1)}
9140:{4,7}:{(8909,1),(9023,1)}
9141:{4,6,7}:{(8912,1),(9022,1),(9023,1)}
9142:{4,5,6}:{(8910,1),(9021,1),(9022,1)}
9143:{3,5}:{(8887,1),(8925,1)}
9144:{3,5,7}:{(8885,1),(8928,1),(9025,1),(9341,1)}
9145:{3,5,6,7}:{(8888,1),(8927,1),(9024,1),(9025,1),(9342,1)}
9146:{3,5,6}:{(8886,1),(8926,1),(9024,1)}
9147:{2,4,6}:{(8894,1),(8913,1),(9021,1),(9256,1)}
9148:{4,6,7}:{(8893,1),(8915,1),(9028,1),(9257,1)}
9149:{4,6,7}:{(8896,1),(8914,1),(9028,1),(9252,1)}
9150:{2,4,6}:{(8895,1),(8916,1),(9021,1),(9259,1)}
9151:{4,5,7}:{(8893,1),(8900,1),(8902,1),(9254,1)}
9152:{4,5,7}:{(8896,1),(8899,1),(8901,1),(9251,1),(9356,1)}
9153:{2,4,5,7}:{(8895,1),(8897,1),(8903,1),(9022,1),(9250,1),(9253,1),(9353,1)}
9154:{2,4,5,7}:{(8894,1),(8898,1),(8904,1),(9022,1),(9249,1),(9258,1)}
9155:{2,4,6}:{(8897,1),(8906,1),(9023,1),(9255,1),(9358,1)}
9156:{4,5,6}:{(8900,1),(8905,1),(9028,1),(9252,1)}
9157:{4,5,6}:{(8899,1),(8908,1),(9028,1),(9257,1),(9357,1)}
9158:{2,4,6}:{(8898,1),(8907,1),(9023,1),(9248,1)}
9159:{2,3,6,7}:{(8885,1),(8917,1),(8967,1),(9030,1),(9346,1),(9351,1)}
9160:{2,3,6}:{(8886,1),(8919,1),(8965,1)}
9161:{2,3,6,7}:{(8888,1),(8920,1),(8968,1),(9030,1),(9352,1)}
9162:{2,3,6}:{(8887,1),(8918,1),(8966,1),(9347,1)}
9163:{2,3,4,7}:{(8894,1),(8919,1),(8923,1),(9026,1),(9310,1),(9349,1)}
9164:{3,4,7}:{(8896,1),(8917,1),(8924,1),(9324,1),(9356,1)}
9165:{3,4,7}:{(8893,1),(8920,1),(8922,1),(9315,1)}
9166:{2,3,4,7}:{(8895,1),(8918,1),(8921,1),(9026,1),(9311,1),(9350,1),(9353,1)}
9167:{2,3,4,5}:{(8898,1),(8923,1),(9027,1),(9031,1),(9329,1),(9359,1)}
9168:{2,3,5}:{(8897,1),(8921,1),(9027,1),(9338,1),(9358,1)}
9169:{3,4,5}:{(8900,1),(8922,1),(9031,1),(9330,1)}
9170:{3,5}:{(8899,1),(8924,1),(9336,1)}
9171:{3,5,7}:{(8933,1),(8950,1),(8959,1),(9263,1),(9370,1)}
9172:{1,3,5,7}:{(8935,1),(8952,1),(8957,1),(9024,1),(9268,1),(9372,1)}
9173:{3,5,7}:{(8934,1),(8951,1),(8960,1),(9261,1)}
9174:{1,3,5,7}:{(8936,1),(8949,1),(8958,1),(9024,1),(9274,1)}
9175:{1,3,5,6}:{(8938,1),(8952,1),(8954,1),(9025,1),(9270,1),(9376,1)}
9176:{3,5,6}:{(8940,1),(8950,1),(8955,1),(9269,1),(9373,1)}
9177:{1,3,5,6}:{(8937,1),(8949,1),(8953,1),(9025,1),(9275,1),(9375,1)}
9178:{3,5,6}:{(8939,1),(8951,1),(8956,1),(9262,1),(9374,1)}
9179:{1,4,7}:{(8964,1),(8999,1),(9026,1),(9366,1)}
9180:{3,4,7}:{(8961,1),(8997,1),(9034,1),(9365,1)}
9181:{4,7}:{(8962,1),(9000,1),(9368,1)}
9182:{1,3,4,7}:{(8963,1),(8998,1),(9026,1),(9034,1),(9367,1)}
9183:{1,4,5}:{(8952,1),(8964,1),(9027,1),(9338,1),(9376,1)}
9184:{3,4,5}:{(8951,1),(8961,1),(9035,1),(9326,1),(9374,1)}
9185:{1,3,4,5}:{(8949,1),(8963,1),(9027,1),(9035,1),(9327,1),(9375,1)}
9186:{4,5}:{(8950,1),(8962,1),(9325,1),(9373,1)}
9187:{1,2,4,5,7}:{(8891,1),(8928,1),(8967,1),(9037,1),(9248,1),(9252,1),(9281,1),(9286,1),(9346,1),(9551,1),(9573,1)}
9188:{1,2,4,5,6,7}:{(8892,1),(8927,1),(8968,1),(9036,1),(9037,1),(9258,1),(9260,1),(9284,1),(9289,1),(9345,1),(9562,1),(9564,1)}
9189:{1,2,4,5,6}:{(8890,1),(8926,1),(8965,1),(9036,1),(9249,1),(9254,1),(9280,1),(9285,1),(9348,1),(9552,1)}
9190:{1,2,4,5}:{(8889,1),(8925,1),(8966,1),(9245,1),(9259,1),(9277,1),(9278,1),(9347,1),(9571,1)}
9191:{1,2,5,7}:{(8902,1),(8935,1),(8973,1),(8988,1),(9280,1),(9384,1)}
9192:{1,2,5,7}:{(8904,1),(8936,1),(8976,1),(8985,1),(9285,1)}
9193:{1,2,5,7}:{(8901,1),(8933,1),(8975,1),(8987,1),(9282,1),(9381,1),(9389,1)}
9194:{1,2,5,7}:{(8903,1),(8934,1),(8974,1),(8986,1),(9287,1),(9390,1)}
9195:{1,2,5,6}:{(8907,1),(8937,1),(8976,1),(8984,1),(9286,1),(9386,1)}
9196:{1,2,5,6}:{(8908,1),(8940,1),(8975,1),(8982,1),(9279,1),(9387,1),(9393,1)}
9197:{1,2,5,6}:{(8905,1),(8938,1),(8973,1),(8983,1),(9281,1),(9388,1)}
9198:{1,2,5,6}:{(8906,1),(8939,1),(8974,1),(8981,1),(9288,1),(9385,1),(9396,1)}
9199:{1,2,4,7}:{(8895,1),(8991,1),(8994,1),(9034,1),(9317,1),(9378,1)}
9200:{1,4,7}:{(8893,1),(8989,1),(8993,1),(9309,1)}
9201:{1,4,7}:{(8896,1),(8990,1),(8995,1),(9316,1)}
9202:{1,2,4,7}:{(8894,1),(8992,1),(8996,1),(9034,1),(9320,1),(9379,1)}
9203:{1,2,4,5}:{(8898,1),(8976,1),(8992,1),(9035,1),(9326,1),(9386,1)}
9204:{1,2,4,5}:{(8897,1),(8974,1),(8991,1),(9035,1),(9327,1),(9333,1),(9385,1)}
9205:{1,4,5}:{(8900,1),(8973,1),(8989,1),(9328,1)}
9206:{1,4,5}:{(8899,1),(8975,1),(8990,1),(9331,1),(9340,1)}
9207:{1,2,3,5,6,7}:{(8912,1),(8930,1),(9010,1),(9039,1),(9040,1),(9266,1),(9273,1),(9284,1),(9291,1),(9364,1),(9513,1),(9547,1)}
9208:{1,2,3,5,7}:{(8909,1),(8931,1),(9011,1),(9040,1),(9262,1),(9275,1),(9286,1),(9288,1),(9362,1),(9539,1),(9541,1)}
9209:{1,2,3,5,6}:{(8910,1),(8929,1),(9012,1),(9039,1),(9261,1),(9274,1),(9285,1),(9287,1),(9363,1),(9540,1)}
9210:{1,2,3,5}:{(8911,1),(8932,1),(9009,1),(9264,1),(9276,1),(9277,1),(9292,1),(9361,1),(9550,1)}
9211:{1,2,3,5,6}:{(8916,1),(8944,1),(8971,1),(8994,1),(9277,1),(9287,1),(9295,1),(9298,1),(9378,1),(9550,1)}
9212:{1,2,3,5,6,7}:{(8915,1),(8941,1),(8972,1),(8993,1),(9042,1),(9279,1),(9289,1),(9293,1),(9300,1),(9380,1),(9561,1),(9563,1)}
9213:{1,2,3,5,6}:{(8913,1),(8942,1),(8970,1),(8996,1),(9285,1),(9292,1),(9306,1),(9307,1),(9379,1),(9540,1),(9543,1)}
9214:{1,2,3,5,6,7}:{(8914,1),(8943,1),(8969,1),(8995,1),(9042,1),(9281,1),(9290,1),(9299,1),(9305,1),(9377,1),(9567,1),(9568,1)}
9215:{2,3,5,6}:{(8946,1),(8978,1),(9000,1),(9263,1),(9272,1),(9301,1),(9308,1),(9368,1),(9524,1),(9525,1)}
9216:{1,2,3,5,6}:{(8948,1),(8980,1),(8998,1),(9029,1),(9264,1),(9274,1),(9298,1),(9306,1),(9367,1),(9543,1)}
9217:{2,3,5,6}:{(8945,1),(8977,1),(8997,1),(9261,1),(9276,1),(9295,1),(9307,1),(9365,1),(9550,1)}
9218:{1,2,3,5,6}:{(8947,1),(8979,1),(8999,1),(9029,1),(9267,1),(9268,1),(9296,1),(9297,1),(9366,1),(9530,1),(9532,1)}
9219:{2,3,6}:{(8955,1),(8982,1),(9007,1),(9399,1)}
9220:{1,2,3,6}:{(8954,1),(8983,1),(9005,1),(9030,1),(9398,1)}
9221:{2,3,6}:{(8956,1),(8981,1),(9008,1),(9400,1)}
9222:{1,2,3,6}:{(8953,1),(8984,1),(9006,1),(9030,1),(9397,1)}
9223:{2,3,5}:{(8950,1),(8975,1),(9013,1),(9332,1),(9340,1)}
9224:{1,2,3,5}:{(8949,1),(8976,1),(9015,1),(9031,1),(9330,1)}
9225:{2,3,5}:{(8951,1),(8974,1),(9014,1),(9337,1)}
9226:{1,2,3,5}:{(8952,1),(8973,1),(9016,1),(9031,1),(9329,1),(9335,1)}
9227:{2,3,4,6,7}:{(8960,1),(8986,1),(9003,1),(9014,1),(9295,1),(9302,1),(9317,1),(9322,1),(9390,1),(9556,1)}
9228:{2,3,4,6,7}:{(8959,1),(8987,1),(9004,1),(9013,1),(9305,1),(9308,1),(9312,1),(9316,1),(9389,1),(9516,1),(9517,1)}
9229:{1,2,3,4,6,7}:{(8957,1),(8988,1),(9001,1),(9016,1),(9032,1),(9297,1),(9300,1),(9310,1),(9321,1),(9391,1),(9560,1),(9562,1)}
9230:{1,2,3,4,6,7}:{(8958,1),(8985,1),(9002,1),(9015,1),(9032,1),(9304,1),(9306,1),(9315,1),(9318,1),(9392,1),(9552,1)}
9231:{1,4,5,7}:{(9006,1),(9017,1),(9033,1),(9315,1),(9324,1),(9330,1),(9336,1),(9397,1),(9553,1)}
9232:{1,3,4,5,7}:{(9005,1),(9019,1),(9033,1),(9038,1),(9314,1),(9321,1),(9331,1),(9335,1),(9398,1),(9561,1)}
9233:{4,5,7}:{(9008,1),(9020,1),(9322,1),(9323,1),(9337,1),(9339,1),(9400,1),(9557,1)}
9234:{3,4,5,7}:{(9007,1),(9018,1),(9038,1),(9309,1),(9316,1),(9328,1),(9340,1),(9399,1),(9568,1)}
9235:{3,4,6}:{(9021,1),(9026,1),(9029,1),(9344,1),(9366,1)}
9236:{3,4,5,7}:{(9022,1),(9024,1),(9026,1),(9027,1),(9342,1),(9343,1),(9353,1),(9372,1)}
9237:{3,4,6}:{(9023,1),(9025,1),(9027,1),(9341,1),(9358,1),(9376,1)}
9238:{2,3,5,7}:{(9024,1),(9031,1),(9032,1),(9036,1),(9348,1),(9354,1)}
9239:{2,3,5,6}:{(9025,1),(9030,1),(9031,1),(9037,1),(9346,1),(9359,1),(9360,1)}
9240:{3,4,6}:{(9028,1),(9030,1),(9033,1),(9357,1),(9397,1)}
9241:{1,4,6}:{(9021,1),(9034,1),(9041,1),(9361,1),(9365,1)}
9242:{1,4,5,7}:{(9022,1),(9034,1),(9035,1),(9039,1),(9363,1),(9364,1),(9369,1)}
9243:{1,4,6}:{(9023,1),(9035,1),(9040,1),(9362,1),(9374,1)}
9244:{1,4,6}:{(9028,1),(9038,1),(9042,1),(9399,1)}
9245:{4}:{(9045,1)}
9246:{4,5,6,7}:{(9058,1),(9149,1),(9152,1),(9157,1),(9410,1)}
9247:{4}:{(9050,1),(9414,1)}
9248:{2,4,7}:{(9049,1),(9140,1),(9158,1)}
9249:{2,4,5,6}:{(9044,1),(9142,1),(9147,1),(9154,1)}
9250:{2,4,6,7}:{(9057,1),(9141,1),(9153,1),(9155,1),(9408,1)}
9251:{4,6}:{(9046,1),(9152,1),(9405,1)}
9252:{4,5,7}:{(9055,1),(9149,1),(9156,1)}
9253:{2,4,5,6}:{(9053,1),(9142,1),(9150,1),(9153,1),(9411,1)}
9254:{4,6}:{(9051,1),(9151,1)}
9255:{2,4,7}:{(9047,1),(9140,1),(9155,1),(9406,1)}
9256:{2,4,5}:{(9043,1),(9139,1),(9147,1),(9415,1)}
9257:{4,5,7}:{(9052,1),(9148,1),(9157,1),(9401,1)}
9258:{2,4,6,7}:{(9048,1),(9141,1),(9154,1),(9158,1)}
9259:{2,4,5}:{(9056,1),(9139,1),(9150,1)}
9260:{4,5,6,7}:{(9054,1),(9148,1),(9151,1),(9156,1)}
9261:{3,5,6}:{(9065,1),(9084,1),(9173,1)}
9262:{3,5,7}:{(9074,1),(9087,1),(9178,1),(9417,1)}
9263:{3,5,6}:{(9071,1),(9077,1),(9171,1),(9429,1)}
9264:{1,3,5}:{(9068,1),(9075,1),(9143,1)}
9265:{3,5,6,7}:{(9063,1),(9088,1),(9171,1),(9176,1),(9432,1)}
9266:{3,5,6,7}:{(9060,1),(9080,1),(9173,1),(9178,1),(9428,1)}
9267:{1,3,5}:{(9072,1),(9089,1),(9143,1),(9430,1)}
9268:{1,3,5,6}:{(9069,1),(9082,1),(9146,1),(9172,1),(9419,1)}
9269:{3,5,7}:{(9073,1),(9090,1),(9176,1),(9425,1)}
9270:{1,3,5,7}:{(9066,1),(9085,1),(9144,1),(9175,1),(9420,1)}
9271:{1,3,5,6,7}:{(9059,1),(9078,1),(9145,1),(9172,1),(9175,1),(9422,1)}
9272:{3,5}:{(9064,1),(9076,1),(9431,1)}
9273:{1,3,5,6,7}:{(9070,1),(9083,1),(9145,1),(9174,1),(9177,1),(9423,1)}
9274:{1,3,5,6}:{(9062,1),(9079,1),(9146,1),(9174,1)}
9275:{1,3,5,7}:{(9061,1),(9081,1),(9144,1),(9177,1),(9424,1)}
9276:{3,5}:{(9067,1),(9086,1)}
9277:{1,2,5}:{(9056,1),(9068,1),(9093,1)}
9278:{1,2,5}:{(9045,1),(9072,1),(9096,1),(9445,1)}
9279:{1,2,5,7}:{(9052,1),(9073,1),(9104,1),(9196,1),(9438,1),(9454,1)}
9280:{1,2,5,6}:{(9051,1),(9069,1),(9106,1),(9191,1),(9444,1)}
9281:{1,2,5,7}:{(9055,1),(9066,1),(9091,1),(9197,1),(9447,1)}
9282:{1,2,5,6}:{(9046,1),(9071,1),(9095,1),(9193,1),(9442,1),(9452,1)}
9283:{1,2,5}:{(9050,1),(9064,1),(9098,1),(9437,1),(9461,1)}
9284:{1,2,5,6,7}:{(9048,1),(9070,1),(9105,1),(9192,1),(9195,1),(9440,1)}
9285:{1,2,5,6}:{(9044,1),(9062,1),(9099,1),(9192,1)}
9286:{1,2,5,7}:{(9049,1),(9061,1),(9100,1),(9195,1),(9443,1)}
9287:{1,2,5,6}:{(9053,1),(9065,1),(9094,1),(9194,1),(9457,1)}
9288:{1,2,5,7}:{(9047,1),(9074,1),(9092,1),(9198,1),(9435,1),(9464,1)}
9289:{1,2,5,6,7}:{(9054,1),(9059,1),(9101,1),(9191,1),(9197,1),(9448,1)}
9290:{1,2,5,6,7}:{(9058,1),(9063,1),(9103,1),(9193,1),(9196,1),(9446,1),(9453,1)}
9291:{1,2,5,6,7}:{(9057,1),(9060,1),(9102,1),(9194,1),(9198,1),(9433,1),(9463,1)}
9292:{1,2,5}:{(9043,1),(9067,1),(9097,1),(9456,1)}
9293:{2,3,6,7}:{(9090,1),(9104,1),(9117,1),(9219,1),(9454,1),(9468,1)}
9294:{2,3,6,7}:{(9087,1),(9092,1),(9120,1),(9221,1),(9464,1),(9472,1)}
9295:{2,3,6}:{(9084,1),(9094,1),(9112,1)}
9296:{1,2,3,6}:{(9089,1),(9096,1),(9118,1),(9162,1),(9455,1),(9476,1)}
9297:{1,2,3,6}:{(9082,1),(9106,1),(9115,1),(9160,1),(9478,1)}
9298:{1,2,3,6}:{(9075,1),(9093,1),(9114,1),(9162,1),(9462,1)}
9299:{1,2,3,6,7}:{(9085,1),(9091,1),(9113,1),(9159,1),(9220,1),(9450,1),(9475,1)}
9300:{1,2,3,6,7}:{(9078,1),(9101,1),(9122,1),(9161,1),(9220,1),(9466,1)}
9301:{2,3,6}:{(9076,1),(9098,1),(9121,1),(9461,1),(9469,1)}
9302:{2,3,6,7}:{(9080,1),(9102,1),(9111,1),(9221,1),(9465,1)}
9303:{1,2,3,6,7}:{(9081,1),(9100,1),(9110,1),(9159,1),(9222,1),(9460,1),(9473,1)}
9304:{1,2,3,6,7}:{(9083,1),(9105,1),(9119,1),(9161,1),(9222,1),(9467,1)}
9305:{2,3,6,7}:{(9088,1),(9103,1),(9116,1),(9219,1),(9477,1)}
9306:{1,2,3,6}:{(9079,1),(9099,1),(9108,1),(9160,1)}
9307:{2,3,6}:{(9086,1),(9097,1),(9107,1),(9456,1)}
9308:{2,3,6}:{(9077,1),(9095,1),(9109,1),(9480,1)}
9309:{3,4,7}:{(9117,1),(9131,1),(9200,1),(9494,1)}
9310:{1,2,4,7}:{(9115,1),(9132,1),(9163,1),(9179,1),(9478,1)}
9311:{1,2,4,7}:{(9118,1),(9138,1),(9166,1),(9179,1),(9476,1),(9482,1)}
9312:{2,4,7}:{(9109,1),(9125,1),(9181,1),(9480,1)}
9313:{2,4,7}:{(9121,1),(9124,1),(9181,1),(9469,1),(9484,1)}
9314:{1,3,4,7}:{(9113,1),(9133,1),(9164,1),(9201,1),(9483,1)}
9315:{1,4,7}:{(9119,1),(9130,1),(9165,1)}
9316:{3,4,7}:{(9116,1),(9137,1),(9201,1)}
9317:{2,3,4,7}:{(9112,1),(9127,1),(9180,1),(9199,1),(9470,1)}
9318:{1,2,3,4,7}:{(9108,1),(9135,1),(9163,1),(9182,1),(9202,1),(9474,1)}
9319:{1,2,3,4,7}:{(9114,1),(9129,1),(9166,1),(9182,1),(9199,1),(9471,1),(9485,1)}
9320:{2,3,4,7}:{(9107,1),(9126,1),(9180,1),(9202,1),(9479,1),(9487,1)}
9321:{1,3,4,7}:{(9122,1),(9134,1),(9165,1),(9200,1)}
9322:{4,7}:{(9111,1),(9128,1)}
9323:{4,7}:{(9120,1),(9123,1),(9491,1)}
9324:{1,4,7}:{(9110,1),(9136,1),(9164,1),(9488,1)}
9325:{2,5}:{(9124,1),(9186,1),(9509,1)}
9326:{2,3,5}:{(9126,1),(9184,1),(9203,1),(9505,1)}
9327:{1,2,3,5}:{(9129,1),(9168,1),(9185,1),(9204,1),(9499,1)}
9328:{3,5}:{(9131,1),(9205,1)}
9329:{1,2,4,5}:{(9132,1),(9167,1),(9183,1),(9226,1),(9497,1)}
9330:{1,4,5}:{(9130,1),(9169,1),(9224,1)}
9331:{1,3,5}:{(9133,1),(9170,1),(9206,1)}
9332:{2,4,5}:{(9125,1),(9186,1),(9223,1),(9512,1)}
9333:{2,3,4,5}:{(9127,1),(9184,1),(9204,1),(9225,1),(9498,1)}
9334:{1,2,3,4,5}:{(9135,1),(9167,1),(9185,1),(9203,1),(9224,1),(9504,1)}
9335:{1,3,4,5}:{(9134,1),(9169,1),(9205,1),(9226,1)}
9336:{1,5}:{(9136,1),(9170,1)}
9337:{4,5}:{(9128,1),(9225,1)}
9338:{1,2,5}:{(9138,1),(9168,1),(9183,1),(9510,1)}
9339:{5}:{(9123,1)}
9340:{3,4,5}:{(9137,1),(9206,1),(9223,1)}
9341:{3,4,7}:{(9140,1),(9144,1),(9237,1),(9406,1),(9420,1)}
9342:{3,4,6,7}:{(9141,1),(9145,1),(9236,1),(9237,1),(9408,1),(9422,1)}
9343:{3,4,5,6}:{(9142,1),(9146,1),(9235,1),(9236,1),(9411,1),(9419,1)}
9344:{3,4,5}:{(9139,1),(9143,1),(9235,1),(9415,1),(9430,1)}
9345:{2,3,5,6,7}:{(9145,1),(9161,1),(9188,1),(9238,1),(9239,1),(9407,1),(9412,1)}
9346:{2,3,5,7}:{(9144,1),(9159,1),(9187,1),(9239,1),(9409,1),(9413,1)}
9347:{2,3,5}:{(9143,1),(9162,1),(9190,1),(9402,1)}
9348:{2,3,5,6}:{(9146,1),(9160,1),(9189,1),(9238,1),(9416,1)}
9349:{2,3,4,6}:{(9147,1),(9160,1),(9163,1),(9235,1),(9415,1),(9478,1)}
9350:{2,3,4,6}:{(9150,1),(9162,1),(9166,1),(9235,1),(9404,1),(9411,1),(9476,1)}
9351:{3,4,6,7}:{(9149,1),(9159,1),(9164,1),(9240,1),(9409,1),(9410,1),(9473,1)}
9352:{3,4,6,7}:{(9148,1),(9161,1),(9165,1),(9240,1),(9401,1),(9467,1)}
9353:{2,3,5,7}:{(9153,1),(9166,1),(9168,1),(9236,1),(9408,1),(9411,1),(9482,1)}
9354:{3,4,5,7}:{(9151,1),(9165,1),(9169,1),(9238,1),(9416,1),(9493,1)}
9355:{2,3,4,5,7}:{(9154,1),(9163,1),(9167,1),(9236,1),(9238,1),(9403,1),(9412,1),(9495,1)}
9356:{3,5,7}:{(9152,1),(9164,1),(9170,1),(9405,1),(9488,1)}
9357:{3,5,6}:{(9157,1),(9170,1),(9240,1),(9401,1),(9502,1)}
9358:{2,3,6}:{(9155,1),(9168,1),(9237,1),(9406,1),(9510,1)}
9359:{2,3,4,6}:{(9158,1),(9167,1),(9237,1),(9239,1),(9413,1),(9497,1)}
9360:{3,4,5,6}:{(9156,1),(9169,1),(9239,1),(9240,1),(9409,1),(9511,1)}
9361:{1,4,5}:{(9139,1),(9210,1),(9241,1),(9418,1)}
9362:{1,4,7}:{(9140,1),(9208,1),(9243,1),(9417,1)}
9363:{1,4,5,6}:{(9142,1),(9209,1),(9241,1),(9242,1),(9421,1)}
9364:{1,4,6,7}:{(9141,1),(9207,1),(9242,1),(9243,1),(9428,1)}
9365:{3,4,6}:{(9180,1),(9217,1),(9241,1),(9418,1)}
9366:{1,4,6}:{(9179,1),(9218,1),(9235,1),(9430,1)}
9367:{1,3,4,6}:{(9182,1),(9216,1),(9235,1),(9241,1),(9427,1)}
9368:{4,6}:{(9181,1),(9215,1),(9431,1)}
9369:{3,4,5,7}:{(9173,1),(9180,1),(9184,1),(9242,1),(9421,1),(9428,1),(9487,1)}
9370:{4,5,7}:{(9171,1),(9181,1),(9186,1),(9429,1),(9432,1),(9484,1)}
9371:{1,3,4,5,7}:{(9174,1),(9182,1),(9185,1),(9236,1),(9242,1),(9423,1),(9426,1),(9485,1)}
9372:{1,4,5,7}:{(9172,1),(9179,1),(9183,1),(9236,1),(9419,1),(9422,1),(9482,1)}
9373:{4,6}:{(9176,1),(9186,1),(9425,1),(9509,1)}
9374:{3,4,6}:{(9178,1),(9184,1),(9243,1),(9417,1),(9505,1)}
9375:{1,3,4,6}:{(9177,1),(9185,1),(9237,1),(9243,1),(9424,1),(9499,1)}
9376:{1,4,6}:{(9175,1),(9183,1),(9237,1),(9420,1),(9510,1)}
9377:{1,4,6,7}:{(9149,1),(9201,1),(9214,1),(9244,1),(9447,1),(9477,1)}
9378:{1,2,4,6}:{(9150,1),(9199,1),(9211,1),(9241,1),(9434,1),(9470,1)}
9379:{1,2,4,6}:{(9147,1),(9202,1),(9213,1),(9241,1),(9439,1),(9479,1)}
9380:{1,4,6,7}:{(9148,1),(9200,1),(9212,1),(9244,1),(9438,1),(9468,1)}
9381:{1,4,5,7}:{(9152,1),(9193,1),(9201,1),(9206,1),(9442,1),(9483,1),(9490,1)}
9382:{1,2,4,5,7}:{(9153,1),(9194,1),(9199,1),(9204,1),(9242,1),(9433,1),(9436,1),(9481,1),(9485,1)}
9383:{1,2,4,5,7}:{(9154,1),(9192,1),(9202,1),(9203,1),(9242,1),(9440,1),(9441,1),(9487,1)}
9384:{1,4,5,7}:{(9151,1),(9191,1),(9200,1),(9205,1),(9444,1),(9494,1)}
9385:{1,2,4,6}:{(9155,1),(9198,1),(9204,1),(9243,1),(9435,1),(9498,1),(9499,1)}
9386:{1,2,4,6}:{(9158,1),(9195,1),(9203,1),(9243,1),(9443,1),(9505,1)}
9387:{1,4,5,6}:{(9157,1),(9196,1),(9206,1),(9244,1),(9438,1),(9500,1),(9501,1)}
9388:{1,4,5,6}:{(9156,1),(9197,1),(9205,1),(9244,1),(9447,1),(9507,1)}
9389:{2,3,5,7}:{(9171,1),(9193,1),(9223,1),(9228,1),(9452,1),(9489,1),(9490,1)}
9390:{2,3,5,7}:{(9173,1),(9194,1),(9225,1),(9227,1),(9457,1),(9486,1)}
9391:{1,2,3,5,7}:{(9172,1),(9191,1),(9226,1),(9229,1),(9238,1),(9458,1),(9492,1),(9495,1)}
9392:{1,2,3,5,7}:{(9174,1),(9192,1),(9224,1),(9230,1),(9238,1),(9459,1),(9493,1)}
9393:{2,3,5,6}:{(9176,1),(9196,1),(9219,1),(9223,1),(9454,1),(9501,1),(9512,1)}
9394:{1,2,3,5,6}:{(9175,1),(9197,1),(9220,1),(9226,1),(9239,1),(9450,1),(9497,1),(9503,1)}
9395:{1,2,3,5,6}:{(9177,1),(9195,1),(9222,1),(9224,1),(9239,1),(9460,1),(9504,1),(9511,1)}
9396:{2,3,5,6}:{(9178,1),(9198,1),(9221,1),(9225,1),(9464,1),(9498,1),(9508,1)}
9397:{1,4,6}:{(9222,1),(9231,1),(9240,1),(9502,1)}
9398:{1,3,4,6}:{(9220,1),(9232,1),(9240,1),(9244,1),(9500,1)}
9399:{3,4,6}:{(9219,1),(9234,1),(9244,1),(9507,1)}
9400:{4,6}:{(9221,1),(9233,1),(9506,1)}
9401:{3,5,7}:{(9257,1),(9352,1),(9357,1),(9553,1)}
9402:{3,4}:{(9245,1),(9347,1),(9571,1)}
9403:{2,3,4,5,6}:{(9249,1),(9343,1),(9348,1),(9349,1),(9355,1),(9575,1)}
9404:{2,3,4,5}:{(9259,1),(9344,1),(9347,1),(9350,1),(9520,1)}
9405:{3,6}:{(9251,1),(9356,1),(9544,1)}
9406:{2,3,7}:{(9255,1),(9341,1),(9358,1),(9531,1)}
9407:{3,4,5,6,7}:{(9260,1),(9345,1),(9352,1),(9354,1),(9360,1),(9564,1)}
9408:{2,3,6,7}:{(9250,1),(9342,1),(9353,1),(9358,1),(9574,1)}
9409:{3,4,5,7}:{(9252,1),(9346,1),(9351,1),(9360,1),(9551,1)}
9410:{3,5,6,7}:{(9246,1),(9351,1),(9356,1),(9357,1),(9542,1)}
9411:{2,3,5,6}:{(9253,1),(9343,1),(9350,1),(9353,1),(9530,1)}
9412:{2,3,4,6,7}:{(9258,1),(9342,1),(9345,1),(9355,1),(9359,1),(9562,1)}
9413:{2,3,4,7}:{(9248,1),(9341,1),(9346,1),(9359,1),(9573,1)}
9414:{3}:{(9247,1),(9519,1)}
9415:{2,3,5}:{(9256,1),(9344,1),(9349,1),(9532,1)}
9416:{3,4,6}:{(9254,1),(9348,1),(9354,1),(9552,1)}
9417:{3,4,7}:{(9262,1),(9362,1),(9374,1),(9541,1)}
9418:{3,4,5}:{(9276,1),(9361,1),(9365,1),(9550,1)}
9419:{1,4,5,6}:{(9268,1),(9343,1),(9366,1),(9372,1),(9530,1)}
9420:{1,4,7}:{(9270,1),(9341,1),(9376,1),(9531,1)}
9421:{3,4,5,6}:{(9261,1),(9363,1),(9365,1),(9369,1),(9540,1)}
9422:{1,4,6,7}:{(9271,1),(9342,1),(9372,1),(9376,1),(9574,1)}
9423:{1,3,4,6,7}:{(9273,1),(9342,1),(9364,1),(9371,1),(9375,1),(9513,1)}
9424:{1,3,4,7}:{(9275,1),(9341,1),(9362,1),(9375,1),(9539,1)}
9425:{4,7}:{(9269,1),(9373,1),(9515,1)}
9426:{1,3,4,5,6}:{(9274,1),(9343,1),(9363,1),(9367,1),(9371,1),(9538,1)}
9427:{1,3,4,5}:{(9264,1),(9344,1),(9361,1),(9367,1),(9543,1)}
9428:{3,4,6,7}:{(9266,1),(9364,1),(9369,1),(9374,1),(9547,1)}
9429:{4,5,6}:{(9263,1),(9368,1),(9370,1),(9525,1)}
9430:{1,4,5}:{(9267,1),(9344,1),(9366,1),(9532,1)}
9431:{4,5}:{(9272,1),(9368,1),(9524,1)}
9432:{4,6,7}:{(9265,1),(9370,1),(9373,1),(9572,1)}
9433:{1,2,4,6,7}:{(9250,1),(9291,1),(9364,1),(9382,1),(9385,1),(9513,1),(9537,1)}
9434:{1,2,4,5}:{(9259,1),(9277,1),(9361,1),(9378,1),(9550,1)}
9435:{1,2,4,7}:{(9255,1),(9288,1),(9362,1),(9385,1),(9528,1),(9539,1)}
9436:{1,2,4,5,6}:{(9253,1),(9287,1),(9363,1),(9378,1),(9382,1),(9527,1),(9538,1)}
9437:{1,4}:{(9247,1),(9283,1),(9514,1),(9536,1)}
9438:{1,4,5,7}:{(9257,1),(9279,1),(9380,1),(9387,1),(9549,1),(9561,1)}
9439:{1,2,4,5}:{(9256,1),(9292,1),(9361,1),(9379,1),(9543,1),(9566,1)}
9440:{1,2,4,6,7}:{(9258,1),(9284,1),(9364,1),(9383,1),(9386,1),(9547,1)}
9441:{1,2,4,5,6}:{(9249,1),(9285,1),(9363,1),(9379,1),(9383,1),(9540,1)}
9442:{1,4,6}:{(9251,1),(9282,1),(9381,1),(9517,1),(9535,1)}
9443:{1,2,4,7}:{(9248,1),(9286,1),(9362,1),(9386,1),(9541,1)}
9444:{1,4,6}:{(9254,1),(9280,1),(9384,1),(9548,1)}
9445:{1,4}:{(9245,1),(9278,1),(9523,1)}
9446:{1,4,5,6,7}:{(9246,1),(9290,1),(9377,1),(9381,1),(9387,1),(9533,1),(9567,1)}
9447:{1,4,5,7}:{(9252,1),(9281,1),(9377,1),(9388,1),(9568,1)}
9448:{1,4,5,6,7}:{(9260,1),(9289,1),(9380,1),(9384,1),(9388,1),(9563,1)}
9449:{1,2,3,5,6,7}:{(9271,1),(9289,1),(9300,1),(9345,1),(9391,1),(9394,1),(9562,1),(9565,1)}
9450:{1,2,3,5,7}:{(9270,1),(9281,1),(9299,1),(9346,1),(9394,1),(9559,1),(9573,1)}
9451:{1,2,3,5,6,7}:{(9273,1),(9284,1),(9304,1),(9345,1),(9392,1),(9395,1),(9554,1),(9564,1)}
9452:{2,3,5,6}:{(9263,1),(9282,1),(9308,1),(9389,1),(9517,1),(9569,1)}
9453:{2,3,5,6,7}:{(9265,1),(9290,1),(9305,1),(9389,1),(9393,1),(9516,1),(9533,1)}
9454:{2,3,5,7}:{(9269,1),(9279,1),(9293,1),(9393,1),(9534,1),(9549,1)}
9455:{1,2,3,5}:{(9267,1),(9278,1),(9296,1),(9347,1),(9520,1),(9558,1)}
9456:{2,3,5}:{(9276,1),(9292,1),(9307,1),(9570,1)}
9457:{2,3,5,6}:{(9261,1),(9287,1),(9295,1),(9390,1),(9556,1)}
9458:{1,2,3,5,6}:{(9268,1),(9280,1),(9297,1),(9348,1),(9391,1),(9560,1),(9575,1)}
9459:{1,2,3,5,6}:{(9274,1),(9285,1),(9306,1),(9348,1),(9392,1),(9552,1)}
9460:{1,2,3,5,7}:{(9275,1),(9286,1),(9303,1),(9346,1),(9395,1),(9545,1),(9551,1)}
9461:{2,3,5}:{(9272,1),(9283,1),(9301,1),(9514,1),(9521,1)}
9462:{1,2,3,5}:{(9264,1),(9277,1),(9298,1),(9347,1),(9571,1)}
9463:{2,3,5,6,7}:{(9266,1),(9291,1),(9302,1),(9390,1),(9396,1),(9526,1),(9537,1)}
9464:{2,3,5,7}:{(9262,1),(9288,1),(9294,1),(9396,1),(9528,1),(9555,1)}
9465:{4,6,7}:{(9302,1),(9322,1),(9400,1),(9557,1)}
9466:{1,3,4,6,7}:{(9300,1),(9321,1),(9352,1),(9380,1),(9398,1),(9561,1)}
9467:{1,4,6,7}:{(9304,1),(9315,1),(9352,1),(9397,1),(9553,1)}
9468:{3,4,6,7}:{(9293,1),(9309,1),(9380,1),(9399,1),(9549,1),(9563,1)}
9469:{2,4,6}:{(9301,1),(9313,1),(9368,1),(9521,1),(9525,1)}
9470:{2,3,4,6}:{(9295,1),(9317,1),(9365,1),(9378,1),(9550,1)}
9471:{1,2,3,4,6}:{(9298,1),(9319,1),(9350,1),(9367,1),(9378,1),(9529,1),(9538,1)}
9472:{4,6,7}:{(9294,1),(9323,1),(9400,1),(9522,1),(9555,1)}
9473:{1,4,6,7}:{(9303,1),(9324,1),(9351,1),(9397,1),(9542,1),(9551,1)}
9474:{1,2,3,4,6}:{(9306,1),(9318,1),(9349,1),(9367,1),(9379,1),(9543,1)}
9475:{1,3,4,6,7}:{(9299,1),(9314,1),(9351,1),(9377,1),(9398,1),(9559,1),(9567,1)}
9476:{1,2,4,6}:{(9296,1),(9311,1),(9350,1),(9366,1),(9520,1),(9530,1)}
9477:{3,4,6,7}:{(9305,1),(9316,1),(9377,1),(9399,1),(9568,1)}
9478:{1,2,4,6}:{(9297,1),(9310,1),(9349,1),(9366,1),(9532,1)}
9479:{2,3,4,6}:{(9307,1),(9320,1),(9365,1),(9379,1),(9540,1),(9566,1)}
9480:{2,4,6}:{(9308,1),(9312,1),(9368,1),(9524,1)}
9481:{2,3,4,5,7}:{(9317,1),(9333,1),(9369,1),(9382,1),(9390,1),(9527,1),(9537,1)}
9482:{1,2,5,7}:{(9311,1),(9338,1),(9353,1),(9372,1),(9530,1),(9574,1)}
9483:{1,3,5,7}:{(9314,1),(9331,1),(9356,1),(9381,1),(9535,1)}
9484:{2,5,7}:{(9313,1),(9325,1),(9370,1),(9525,1),(9572,1)}
9485:{1,2,3,5,7}:{(9319,1),(9327,1),(9353,1),(9371,1),(9382,1),(9513,1),(9538,1)}
9486:{4,5,7}:{(9322,1),(9337,1),(9390,1),(9556,1)}
9487:{2,3,5,7}:{(9320,1),(9326,1),(9369,1),(9383,1),(9540,1),(9547,1)}
9488:{1,5,7}:{(9324,1),(9336,1),(9356,1),(9544,1)}
9489:{2,4,5,7}:{(9312,1),(9332,1),(9370,1),(9389,1),(9516,1),(9569,1)}
9490:{3,4,5,7}:{(9316,1),(9340,1),(9381,1),(9389,1),(9517,1)}
9491:{5,7}:{(9323,1),(9339,1),(9518,1)}
9492:{1,3,4,5,7}:{(9321,1),(9335,1),(9354,1),(9384,1),(9391,1),(9560,1)}
9493:{1,4,5,7}:{(9315,1),(9330,1),(9354,1),(9392,1),(9552,1)}
9494:{3,5,7}:{(9309,1),(9328,1),(9384,1),(9548,1)}
9495:{1,2,4,5,7}:{(9310,1),(9329,1),(9355,1),(9372,1),(9391,1),(9562,1),(9575,1)}
9496:{1,2,3,4,5,7}:{(9318,1),(9334,1),(9355,1),(9371,1),(9383,1),(9392,1),(9546,1),(9554,1)}
9497:{1,2,4,6}:{(9329,1),(9359,1),(9376,1),(9394,1),(9573,1)}
9498:{2,3,4,6}:{(9333,1),(9374,1),(9385,1),(9396,1),(9528,1)}
9499:{1,2,3,6}:{(9327,1),(9358,1),(9375,1),(9385,1),(9539,1)}
9500:{1,3,5,6}:{(9331,1),(9357,1),(9387,1),(9398,1),(9561,1)}
9501:{3,4,5,6}:{(9340,1),(9387,1),(9393,1),(9399,1),(9549,1)}
9502:{1,5,6}:{(9336,1),(9357,1),(9397,1),(9553,1)}
9503:{1,3,4,5,6}:{(9335,1),(9360,1),(9388,1),(9394,1),(9398,1),(9559,1)}
9504:{1,2,3,4,6}:{(9334,1),(9359,1),(9375,1),(9386,1),(9395,1),(9545,1)}
9505:{2,3,6}:{(9326,1),(9374,1),(9386,1),(9541,1)}
9506:{5,6}:{(9339,1),(9400,1),(9557,1)}
9507:{3,5,6}:{(9328,1),(9388,1),(9399,1),(9568,1)}
9508:{4,5,6}:{(9337,1),(9396,1),(9400,1),(9555,1)}
9509:{2,6}:{(9325,1),(9373,1),(9515,1)}
9510:{1,2,6}:{(9338,1),(9358,1),(9376,1),(9531,1)}
9511:{1,4,5,6}:{(9330,1),(9360,1),(9395,1),(9397,1),(9551,1)}
9512:{2,4,6}:{(9332,1),(9373,1),(9393,1),(9534,1)}
9513:{1,2,3,6,7}:{(9408,1),(9423,1),(9433,1),(9485,1),(9499,1)}
9514:{3,4}:{(9437,1),(9461,1)}
9515:{2,7}:{(9425,1),(9509,1)}
9516:{2,4,6,7}:{(9432,1),(9453,1),(9489,1),(9512,1)}
9517:{3,4,6}:{(9442,1),(9452,1),(9490,1)}
9518:{6}:{(9491,1)}
9519:{1}:{(9414,1)}
9520:{1,2,4,5}:{(9404,1),(9430,1),(9455,1),(9476,1)}
9521:{2,4,5}:{(9431,1),(9461,1),(9469,1)}
9522:{5,6,7}:{(9472,1),(9491,1),(9506,1)}
9523:{3}:{(9445,1)}
9524:{2,5}:{(9431,1),(9480,1)}
9525:{2,5,6}:{(9429,1),(9469,1),(9484,1)}
9526:{4,5,6,7}:{(9463,1),(9465,1),(9486,1),(9508,1)}
9527:{2,3,4,5,6}:{(9421,1),(9436,1),(9457,1),(9470,1),(9481,1)}
9528:{2,3,4,7}:{(9417,1),(9435,1),(9464,1),(9498,1)}
9529:{1,2,3,4,5}:{(9404,1),(9427,1),(9434,1),(9462,1),(9471,1)}
9530:{1,2,5,6}:{(9411,1),(9419,1),(9476,1),(9482,1)}
9531:{1,2,7}:{(9406,1),(9420,1),(9510,1)}
9532:{1,2,5}:{(9415,1),(9430,1),(9478,1)}
9533:{3,4,5,6,7}:{(9446,1),(9453,1),(9477,1),(9490,1),(9501,1)}
9534:{2,4,7}:{(9425,1),(9454,1),(9512,1)}
9535:{1,3,6}:{(9405,1),(9442,1),(9483,1)}
9536:{1,3}:{(9414,1),(9437,1)}
9537:{2,3,4,6,7}:{(9428,1),(9433,1),(9463,1),(9481,1),(9498,1)}
9538:{1,2,3,5,6}:{(9411,1),(9426,1),(9436,1),(9471,1),(9485,1)}
9539:{1,2,3,7}:{(9406,1),(9424,1),(9435,1),(9499,1)}
9540:{2,3,5,6}:{(9421,1),(9441,1),(9479,1),(9487,1)}
9541:{2,3,7}:{(9417,1),(9443,1),(9505,1)}
9542:{1,5,6,7}:{(9410,1),(9473,1),(9488,1),(9502,1)}
9543:{1,2,3,5}:{(9415,1),(9427,1),(9439,1),(9474,1)}
9544:{1,6}:{(9405,1),(9488,1)}
9545:{1,2,3,4,7}:{(9413,1),(9424,1),(9443,1),(9460,1),(9504,1)}
9546:{1,2,3,4,5,6}:{(9403,1),(9426,1),(9441,1),(9459,1),(9474,1),(9496,1)}
9547:{2,3,6,7}:{(9428,1),(9440,1),(9487,1),(9505,1)}
9548:{3,6}:{(9444,1),(9494,1)}
9549:{3,4,5,7}:{(9438,1),(9454,1),(9468,1),(9501,1)}
9550:{2,3,5}:{(9418,1),(9434,1),(9470,1)}
9551:{1,4,5,7}:{(9409,1),(9460,1),(9473,1),(9511,1)}
9552:{1,4,6}:{(9416,1),(9459,1),(9493,1)}
9553:{1,5,7}:{(9401,1),(9467,1),(9502,1)}
9554:{1,2,3,4,6,7}:{(9412,1),(9423,1),(9440,1),(9451,1),(9496,1),(9504,1)}
9555:{4,5,7}:{(9464,1),(9472,1),(9508,1)}
9556:{4,6}:{(9457,1),(9486,1)}
9557:{5,7}:{(9465,1),(9506,1)}
9558:{1,3,4}:{(9402,1),(9445,1),(9455,1)}
9559:{1,3,4,5,7}:{(9409,1),(9447,1),(9450,1),(9475,1),(9503,1)}
9560:{1,3,4,6}:{(9416,1),(9444,1),(9458,1),(9492,1)}
9561:{1,3,5,7}:{(9401,1),(9438,1),(9466,1),(9500,1)}
9562:{1,2,4,6,7}:{(9412,1),(9422,1),(9449,1),(9495,1),(9497,1)}
9563:{3,5,6,7}:{(9448,1),(9468,1),(9494,1),(9507,1)}
9564:{1,4,5,6,7}:{(9407,1),(9451,1),(9467,1),(9493,1),(9511,1)}
9565:{1,3,4,5,6,7}:{(9407,1),(9448,1),(9449,1),(9466,1),(9492,1),(9503,1)}
9566:{2,3,4,5}:{(9418,1),(9439,1),(9456,1),(9479,1)}
9567:{1,3,5,6,7}:{(9410,1),(9446,1),(9475,1),(9483,1),(9500,1)}
9568:{3,5,7}:{(9447,1),(9477,1),(9507,1)}
9569:{2,4,5,6}:{(9429,1),(9452,1),(9480,1),(9489,1)}
9570:{4}:{(9456,1)}
9571:{1,4}:{(9402,1),(9462,1)}
9572:{2,6,7}:{(9432,1),(9484,1),(9509,1)}
9573:{1,2,4,7}:{(9413,1),(9420,1),(9450,1),(9497,1)}
9574:{1,2,6,7}:{(9408,1),(9422,1),(9482,1),(9510,1)}
9575:{1,2,4,5,6}:{(9403,1),(9419,1),(9458,1),(9478,1),(9495,1)}