0:{}:{}
1:{7}:{(0,1),(6,1)}
2:{7}:{(0,1),(5,1)}
3:{6}:{(0,1),(9,1),(10,1)}
4:{1}:{(0,1),(12,1)}
5:{6}:{(2,1),(13,1)}
6:{6}:{(1,1),(14,1)}
7:{1,7}:{(2,1),(4,1),(18,1),(19,1),(466,1),(1574,1)}
8:{1,7}:{(1,1),(4,1),(17,1),(20,1),(467,1),(1575,1)}
9:{5}:{(3,1),(21,1)}
10:{7}:{(3,1)}
11:{1,6}:{(3,1),(4,1),(24,1),(25,1),(26,1)}
12:{3}:{(4,1),(23,1)}
13:{5}:{(5,1),(27,1)}
14:{5}:{(6,1),(28,1)}
15:{6,7}:{(6,1),(10,1),(30,1),(40,1)}
16:{6,7}:{(5,1),(10,1),(29,1),(40,1)}
17:{1,6}:{(6,1),(8,1),(33,1),(37,1),(351,1)}
18:{1,6}:{(5,1),(7,1),(34,1),(38,1),(350,1)}
19:{3,7}:{(7,1),(12,1),(31,1),(38,1),(1303,1)}
20:{3,7}:{(8,1),(12,1),(32,1),(37,1),(1304,1)}
21:{4}:{(9,1),(41,1)}
22:{5,7}:{(9,1),(10,1),(39,1),(40,1),(107,1)}
23:{4}:{(12,1),(47,1)}
24:{1,5}:{(9,1),(11,1),(42,1),(45,1)}
25:{1,7}:{(10,1),(11,1),(46,1)}
26:{3,6}:{(11,1),(12,1),(43,1),(45,1),(46,1)}
27:{4}:{(13,1),(50,1),(53,1)}
28:{4}:{(14,1),(51,1),(52,1)}
29:{5,7}:{(13,1),(16,1),(48,1),(55,1)}
30:{5,7}:{(14,1),(15,1),(49,1),(54,1)}
31:{4,7}:{(19,1),(23,1),(59,1),(66,1),(1151,1)}
32:{4,7}:{(20,1),(23,1),(58,1),(67,1),(1152,1)}
33:{1,5}:{(14,1),(17,1),(56,1),(62,1),(248,1)}
34:{1,5}:{(13,1),(18,1),(57,1),(63,1),(249,1)}
35:{1,6,7}:{(15,1),(17,1),(25,1),(60,1),(65,1),(75,1),(464,1),(467,1),(510,1),(513,1)}
36:{1,6,7}:{(16,1),(18,1),(25,1),(61,1),(64,1),(75,1),(465,1),(466,1),(511,1),(512,1)}
37:{3,6}:{(17,1),(20,1),(58,1),(62,1)}
38:{3,6}:{(18,1),(19,1),(59,1),(63,1)}
39:{4,7}:{(21,1),(22,1),(68,1),(70,1)}
40:{6}:{(22,1)}
41:{2,3}:{(21,1),(50,1),(51,1),(52,1),(53,1),(69,1),(76,1)}
42:{1,4}:{(21,1),(24,1),(69,1),(71,1),(76,1)}
43:{4,6}:{(23,1),(26,1),(71,1),(73,1),(74,1),(78,1),(170,1)}
44:{1,5,7}:{(22,1),(24,1),(25,1),(72,1),(75,1),(77,1),(166,1)}
45:{3,5}:{(24,1),(26,1),(69,1),(71,1),(73,1)}
46:{3,7}:{(25,1),(26,1),(74,1)}
47:{2,5}:{(23,1),(73,1),(78,1)}
48:{4,7}:{(27,1),(29,1),(80,1),(81,1),(86,1)}
49:{4,7}:{(28,1),(30,1),(79,1),(82,1),(85,1)}
50:{3}:{(27,1),(94,1)}
51:{3}:{(28,1),(93,1)}
52:{2}:{(28,1)}
53:{2}:{(27,1)}
54:{5,6}:{(30,1),(40,1),(79,1),(107,1)}
55:{5,6}:{(29,1),(40,1),(80,1),(107,1)}
56:{1,4}:{(28,1),(33,1),(84,1),(92,1),(93,1),(100,1),(179,1)}
57:{1,4}:{(27,1),(34,1),(83,1),(91,1),(94,1),(99,1),(180,1)}
58:{4,6}:{(32,1),(37,1),(92,1),(96,1),(105,1)}
59:{4,6}:{(31,1),(38,1),(91,1),(95,1),(106,1)}
60:{1,5,7}:{(30,1),(33,1),(35,1),(90,1),(101,1),(104,1),(353,1)}
61:{1,5,7}:{(29,1),(34,1),(36,1),(89,1),(102,1),(103,1),(352,1)}
62:{3,5}:{(33,1),(37,1),(84,1),(92,1),(96,1)}
63:{3,5}:{(34,1),(38,1),(83,1),(91,1),(95,1)}
64:{3,6,7}:{(36,1),(38,1),(46,1),(97,1),(103,1),(117,1),(360,1),(363,1)}
65:{3,6,7}:{(35,1),(37,1),(46,1),(98,1),(104,1),(117,1),(361,1),(362,1)}
66:{2,5,7}:{(31,1),(47,1),(95,1),(106,1),(114,1),(120,1),(858,1),(872,1),(999,1)}
67:{2,5,7}:{(32,1),(47,1),(96,1),(105,1),(114,1),(120,1),(862,1),(877,1),(1000,1)}
68:{4,6}:{(39,1),(40,1),(107,1),(110,1),(229,1)}
69:{3}:{(42,1)}
70:{2,3,7}:{(39,1),(41,1),(81,1),(82,1),(85,1),(86,1),(108,1),(110,1),(116,1)}
71:{4}:{(45,1),(115,1)}
72:{1,4,7}:{(39,1),(42,1),(44,1),(108,1),(112,1),(113,1),(116,1)}
73:{5}:{(43,1)}
74:{4,7}:{(43,1),(46,1),(114,1),(120,1)}
75:{1,6}:{(40,1),(44,1),(117,1),(698,1)}
76:{1,2}:{(41,1),(42,1),(93,1),(94,1),(115,1)}
77:{3,5,7}:{(44,1),(45,1),(46,1),(108,1),(112,1),(114,1),(117,1),(230,1),(236,1)}
78:{2,6}:{(43,1),(47,1),(115,1),(120,1)}
79:{4,6}:{(49,1),(54,1),(121,1),(124,1),(130,1)}
80:{4,6}:{(48,1),(55,1),(122,1),(123,1),(129,1)}
81:{3,7}:{(48,1),(50,1),(123,1),(144,1)}
82:{3,7}:{(49,1),(51,1),(124,1),(143,1)}
83:{3}:{(57,1)}
84:{3}:{(56,1)}
85:{2,7}:{(49,1),(52,1),(130,1)}
86:{2,7}:{(48,1),(53,1),(129,1)}
87:{2,3}:{(50,1),(53,1),(134,1),(153,1),(316,1)}
88:{2,3}:{(51,1),(52,1),(133,1),(154,1),(317,1)}
89:{1,4,7}:{(48,1),(57,1),(61,1),(125,1),(137,1),(142,1),(144,1),(149,1),(253,1)}
90:{1,4,7}:{(49,1),(56,1),(60,1),(126,1),(138,1),(141,1),(143,1),(150,1),(252,1)}
91:{4}:{(63,1),(152,1)}
92:{4}:{(62,1),(151,1)}
93:{1}:{(51,1)}
94:{1}:{(50,1)}
95:{5}:{(59,1)}
96:{5}:{(58,1)}
97:{4,6,7}:{(59,1),(64,1),(74,1),(142,1),(145,1),(160,1),(168,1),(170,1),(282,1),(284,1)}
98:{4,6,7}:{(58,1),(65,1),(74,1),(141,1),(146,1),(159,1),(168,1),(170,1),(283,1),(285,1)}
99:{1,2}:{(53,1),(57,1),(136,1),(152,1)}
100:{1,2}:{(52,1),(56,1),(135,1),(151,1)}
101:{1,5,6}:{(54,1),(60,1),(75,1),(138,1),(156,1),(166,1),(462,1),(464,1),(507,1),(510,1)}
102:{1,5,6}:{(55,1),(61,1),(75,1),(137,1),(155,1),(166,1),(463,1),(465,1),(506,1),(511,1)}
103:{3,5,7}:{(61,1),(63,1),(64,1),(125,1),(142,1),(145,1),(155,1)}
104:{3,5,7}:{(60,1),(62,1),(65,1),(126,1),(141,1),(146,1),(156,1)}
105:{2,6}:{(58,1),(67,1),(151,1),(170,1),(1032,1)}
106:{2,6}:{(59,1),(66,1),(152,1),(170,1),(1031,1)}
107:{5}:{(68,1)}
108:{3,7}:{(69,1),(72,1),(162,1)}
109:{3,4}:{(69,1),(71,1),(161,1),(165,1),(171,1),(322,1)}
110:{2,3,6}:{(68,1),(70,1),(123,1),(124,1),(129,1),(130,1),(162,1),(164,1),(174,1)}
111:{4,5}:{(71,1),(73,1),(161,1),(169,1),(172,1),(322,1)}
112:{4,7}:{(71,1),(77,1),(168,1),(173,1),(318,1)}
113:{1,4,6}:{(68,1),(72,1),(75,1),(162,1),(166,1),(168,1),(174,1),(318,1),(328,1)}
114:{5,7}:{(73,1),(74,1),(170,1)}
115:{2}:{(71,1)}
116:{1,2,7}:{(70,1),(72,1),(76,1),(143,1),(144,1),(173,1),(174,1)}
117:{3,6}:{(75,1),(77,1),(168,1),(170,1),(551,1)}
118:{2,5,6}:{(73,1),(78,1),(169,1),(170,1),(172,1),(175,1),(326,1),(332,1),(333,1)}
119:{1,2,3}:{(69,1),(76,1),(135,1),(136,1),(147,1),(148,1),(165,1),(171,1),(314,1),(315,1)}
120:{2,7}:{(74,1),(78,1)}
121:{4,5}:{(79,1),(107,1),(177,1),(188,1),(229,1)}
122:{4,5}:{(80,1),(107,1),(178,1),(187,1),(229,1)}
123:{3,6}:{(80,1),(81,1),(178,1),(207,1)}
124:{3,6}:{(79,1),(82,1),(177,1),(208,1)}
125:{3,7}:{(83,1),(89,1),(181,1)}
126:{3,7}:{(84,1),(90,1),(182,1)}
127:{3,4}:{(83,1),(91,1),(180,1),(183,1),(197,1),(213,1),(365,1),(623,1)}
128:{3,4}:{(84,1),(92,1),(179,1),(184,1),(198,1),(214,1),(364,1),(622,1)}
129:{2,6}:{(80,1),(86,1),(187,1)}
130:{2,6}:{(79,1),(85,1),(188,1)}
131:{2,3,7}:{(81,1),(86,1),(87,1),(190,1),(191,1),(222,1),(423,1)}
132:{2,3,7}:{(82,1),(85,1),(88,1),(189,1),(192,1),(221,1),(422,1)}
133:{4}:{(88,1),(194,1)}
134:{4}:{(87,1),(193,1)}
135:{2,3}:{(84,1),(100,1),(179,1)}
136:{2,3}:{(83,1),(99,1),(180,1)}
137:{1,4,6}:{(80,1),(89,1),(102,1),(181,1),(200,1),(204,1),(207,1),(215,1),(356,1)}
138:{1,4,6}:{(79,1),(90,1),(101,1),(182,1),(199,1),(203,1),(208,1),(216,1),(357,1)}
139:{4,5}:{(92,1),(96,1),(184,1),(205,1),(217,1),(364,1)}
140:{4,5}:{(91,1),(95,1),(183,1),(206,1),(218,1),(365,1)}
141:{4,7}:{(92,1),(104,1),(203,1),(220,1)}
142:{4,7}:{(91,1),(103,1),(204,1),(219,1)}
143:{1,7}:{(82,1),(93,1),(208,1)}
144:{1,7}:{(81,1),(94,1),(207,1)}
145:{5,7}:{(95,1),(97,1),(210,1),(236,1)}
146:{5,7}:{(96,1),(98,1),(209,1),(236,1)}
147:{1,3}:{(84,1),(93,1),(214,1),(622,1)}
148:{1,3}:{(83,1),(94,1),(213,1),(623,1)}
149:{1,2,7}:{(86,1),(89,1),(99,1),(196,1),(215,1),(219,1),(1208,1)}
150:{1,2,7}:{(85,1),(90,1),(100,1),(195,1),(216,1),(220,1),(1213,1)}
151:{2}:{(92,1)}
152:{2}:{(91,1)}
153:{1,2}:{(87,1),(94,1),(224,1),(680,1)}
154:{1,2}:{(88,1),(93,1),(223,1),(681,1)}
155:{3,5,6}:{(102,1),(103,1),(117,1),(181,1),(204,1),(210,1),(230,1),(236,1),(358,1),(360,1)}
156:{3,5,6}:{(101,1),(104,1),(117,1),(182,1),(203,1),(209,1),(230,1),(236,1),(359,1),(361,1)}
157:{2,5,6}:{(95,1),(106,1),(206,1),(210,1),(218,1),(226,1),(400,1),(958,1),(993,1),(999,1)}
158:{2,5,6}:{(96,1),(105,1),(205,1),(209,1),(217,1),(225,1),(401,1),(957,1),(994,1),(1000,1)}
159:{2,6,7}:{(98,1),(105,1),(120,1),(220,1),(225,1),(242,1),(401,1),(1212,1)}
160:{2,6,7}:{(97,1),(106,1),(120,1),(219,1),(226,1),(242,1),(400,1),(1215,1)}
161:{3,5}:{(109,1),(111,1),(232,1),(239,1)}
162:{3,6}:{(108,1),(113,1),(230,1),(429,1)}
163:{3,4,7}:{(108,1),(109,1),(112,1),(231,1),(233,1),(235,1),(240,1),(431,1),(682,1),(1008,1),(1384,1)}
164:{2,3,5}:{(107,1),(110,1),(177,1),(178,1),(187,1),(188,1),(229,1),(230,1),(244,1),(346,1),(349,1),(429,1),(430,1)}
165:{2,3}:{(109,1),(115,1),(247,1),(622,1),(623,1)}
166:{1,5}:{(107,1),(113,1),(230,1),(236,1)}
167:{4,5,7}:{(111,1),(112,1),(114,1),(231,1),(236,1),(237,1),(238,1),(241,1),(426,1),(431,1),(436,1),(437,1),(682,1),(687,1)}
168:{4,6}:{(112,1),(117,1),(236,1),(242,1),(437,1)}
169:{4,6}:{(111,1),(118,1),(232,1),(238,1),(437,1)}
170:{6}:{(114,1)}
171:{1,4}:{(109,1),(119,1),(179,1),(180,1),(239,1)}
172:{2,5}:{(111,1),(115,1),(243,1),(687,1)}
173:{2,7}:{(112,1),(115,1),(242,1),(430,1)}
174:{1,2,6}:{(110,1),(113,1),(116,1),(207,1),(208,1),(242,1),(244,1),(430,1)}
175:{2,5,7}:{(114,1),(118,1),(120,1),(238,1),(245,1),(436,1)}
176:{1,2,3,7}:{(108,1),(116,1),(119,1),(195,1),(196,1),(211,1),(212,1),(235,1),(240,1),(246,1),(420,1),(421,1),(1008,1),(1022,1),(1208,1),(1213,1),(1392,1),(1395,1)}
177:{3,5}:{(121,1),(124,1),(251,1),(286,1)}
178:{3,5}:{(122,1),(123,1),(250,1),(287,1)}
179:{4}:{(135,1),(248,1)}
180:{4}:{(136,1),(249,1)}
181:{3,6}:{(125,1),(137,1),(254,1)}
182:{3,6}:{(126,1),(138,1),(255,1)}
183:{3,5}:{(127,1),(140,1),(249,1),(260,1),(293,1)}
184:{3,5}:{(128,1),(139,1),(248,1),(261,1),(292,1)}
185:{3,4,7}:{(125,1),(127,1),(142,1),(253,1),(256,1),(259,1),(278,1),(294,1),(477,1),(762,1)}
186:{3,4,7}:{(126,1),(128,1),(141,1),(252,1),(257,1),(258,1),(279,1),(295,1),(476,1),(761,1)}
187:{2,5}:{(122,1),(129,1),(263,1)}
188:{2,5}:{(121,1),(130,1),(262,1)}
189:{2,3,6}:{(124,1),(130,1),(132,1),(265,1),(267,1),(304,1),(541,1)}
190:{2,3,6}:{(123,1),(129,1),(131,1),(264,1),(266,1),(305,1),(540,1)}
191:{4,7}:{(131,1),(134,1),(266,1),(268,1)}
192:{4,7}:{(132,1),(133,1),(267,1),(269,1)}
193:{5}:{(134,1),(271,1)}
194:{5}:{(133,1),(270,1)}
195:{2,3,7}:{(126,1),(135,1),(150,1),(252,1),(275,1),(1064,1),(1078,1)}
196:{2,3,7}:{(125,1),(136,1),(149,1),(253,1),(274,1),(1063,1),(1077,1)}
197:{2,3}:{(127,1),(152,1),(272,1),(314,1)}
198:{2,3}:{(128,1),(151,1),(273,1),(315,1)}
199:{1,4,5}:{(121,1),(138,1),(166,1),(255,1),(281,1),(286,1),(297,1),(318,1),(328,1),(461,1),(462,1),(503,1),(507,1),(764,1)}
200:{1,4,5}:{(122,1),(137,1),(166,1),(254,1),(280,1),(287,1),(296,1),(318,1),(328,1),(460,1),(463,1),(502,1),(506,1),(763,1)}
201:{4,5,7}:{(139,1),(141,1),(146,1),(257,1),(281,1),(283,1),(285,1),(298,1),(476,1),(731,1)}
202:{4,5,7}:{(140,1),(142,1),(145,1),(256,1),(280,1),(282,1),(284,1),(299,1),(477,1),(732,1)}
203:{4,6}:{(141,1),(156,1),(281,1),(300,1),(318,1)}
204:{4,6}:{(142,1),(155,1),(280,1),(301,1),(318,1)}
205:{4,6}:{(139,1),(158,1),(261,1),(285,1),(1152,1)}
206:{4,6}:{(140,1),(157,1),(260,1),(284,1),(1151,1)}
207:{1,6}:{(123,1),(144,1),(287,1)}
208:{1,6}:{(124,1),(143,1),(286,1)}
209:{5,6}:{(146,1),(170,1),(283,1),(731,1)}
210:{5,6}:{(145,1),(170,1),(282,1),(732,1)}
211:{1,3,7}:{(126,1),(143,1),(147,1),(290,1),(295,1),(761,1)}
212:{1,3,7}:{(125,1),(144,1),(148,1),(291,1),(294,1),(762,1)}
213:{1,4}:{(127,1),(148,1),(293,1),(314,1)}
214:{1,4}:{(128,1),(147,1),(292,1),(315,1)}
215:{1,2,6}:{(129,1),(137,1),(149,1),(274,1),(296,1),(301,1),(1034,1)}
216:{1,2,6}:{(130,1),(138,1),(150,1),(275,1),(297,1),(300,1),(1033,1)}
217:{2,5}:{(139,1),(151,1),(303,1),(731,1),(1105,1)}
218:{2,5}:{(140,1),(152,1),(302,1),(732,1),(1106,1)}
219:{2,7}:{(142,1),(152,1),(301,1)}
220:{2,7}:{(141,1),(151,1),(300,1)}
221:{1,2,7}:{(132,1),(143,1),(154,1),(304,1),(307,1),(829,1)}
222:{1,2,7}:{(131,1),(144,1),(153,1),(305,1),(306,1),(830,1)}
223:{1,4}:{(133,1),(154,1),(309,1),(317,1),(518,1)}
224:{1,4}:{(134,1),(153,1),(308,1),(316,1),(519,1)}
225:{2,5,7}:{(146,1),(158,1),(159,1),(285,1),(332,1),(1130,1),(1174,1)}
226:{2,5,7}:{(145,1),(157,1),(160,1),(284,1),(332,1),(1129,1),(1173,1)}
227:{1,2,3}:{(136,1),(148,1),(153,1),(289,1),(314,1),(316,1),(546,1)}
228:{1,2,3}:{(135,1),(147,1),(154,1),(288,1),(315,1),(317,1),(547,1)}
229:{4}:{(164,1)}
230:{3,5}:{(162,1),(166,1),(318,1)}
231:{3,5,7}:{(161,1),(163,1),(167,1),(319,1),(320,1),(321,1),(329,1),(551,1),(1578,1)}
232:{3,6}:{(161,1),(169,1),(321,1),(330,1),(551,1)}
233:{3,4,6}:{(162,1),(163,1),(168,1),(318,1),(319,1),(320,1),(325,1),(331,1),(548,1),(549,1),(551,1),(552,1),(554,1),(839,1),(1192,1)}
234:{2,3,5}:{(161,1),(165,1),(172,1),(322,1),(324,1),(336,1),(558,1)}
235:{2,3,7}:{(163,1),(165,1),(173,1),(325,1),(337,1),(761,1),(762,1),(841,1),(1190,1)}
236:{5}:{(168,1)}
237:{4,6}:{(167,1),(170,1),(320,1),(326,1),(333,1)}
238:{4,7}:{(169,1),(175,1),(321,1)}
239:{1,5}:{(161,1),(171,1),(248,1),(249,1),(330,1)}
240:{1,4,7}:{(163,1),(171,1),(176,1),(252,1),(253,1),(329,1),(331,1)}
241:{2,5,7}:{(167,1),(172,1),(173,1),(332,1),(333,1),(334,1),(553,1),(841,1)}
242:{2,6}:{(168,1),(173,1),(332,1)}
243:{2,4,6}:{(169,1),(172,1),(322,1),(324,1),(333,1),(334,1),(554,1)}
244:{1,2,5}:{(164,1),(166,1),(174,1),(286,1),(287,1),(328,1),(332,1),(451,1),(452,1)}
245:{2,6,7}:{(170,1),(175,1),(327,1),(333,1),(841,1)}
246:{1,2,3,6}:{(162,1),(174,1),(176,1),(274,1),(275,1),(290,1),(291,1),(325,1),(331,1),(335,1),(536,1),(537,1),(839,1),(852,1),(1033,1),(1034,1),(1201,1),(1204,1)}
247:{1,2,4}:{(165,1),(171,1),(272,1),(273,1),(314,1),(315,1),(322,1),(336,1),(526,1),(527,1)}
248:{5}:{(179,1),(351,1)}
249:{5}:{(180,1),(350,1)}
250:{3,4}:{(178,1),(229,1),(349,1),(384,1),(429,1)}
251:{3,4}:{(177,1),(229,1),(346,1),(385,1),(429,1)}
252:{4,7}:{(179,1),(195,1),(353,1),(357,1)}
253:{4,7}:{(180,1),(196,1),(352,1),(356,1)}
254:{3,5}:{(181,1),(200,1),(355,1),(429,1),(896,1)}
255:{3,5}:{(182,1),(199,1),(354,1),(429,1),(895,1)}
256:{3,5,7}:{(183,1),(185,1),(202,1),(352,1),(358,1),(360,1),(363,1),(390,1)}
257:{3,5,7}:{(184,1),(186,1),(201,1),(353,1),(359,1),(361,1),(362,1),(391,1)}
258:{3,4,6}:{(182,1),(186,1),(203,1),(354,1),(357,1),(359,1),(361,1),(374,1),(393,1),(585,1),(600,1),(895,1),(929,1),(1248,1)}
259:{3,4,6}:{(181,1),(185,1),(204,1),(355,1),(356,1),(358,1),(360,1),(375,1),(392,1),(584,1),(601,1),(896,1),(930,1),(1247,1)}
260:{3,6}:{(183,1),(206,1),(350,1),(363,1),(395,1),(1303,1)}
261:{3,6}:{(184,1),(205,1),(351,1),(362,1),(394,1),(1304,1)}
262:{2,4}:{(188,1),(229,1),(349,1),(430,1)}
263:{2,4}:{(187,1),(229,1),(346,1),(430,1)}
264:{2,3,5}:{(178,1),(187,1),(190,1),(340,1),(341,1),(406,1),(577,1)}
265:{2,3,5}:{(177,1),(188,1),(189,1),(339,1),(344,1),(407,1),(574,1)}
266:{4,6}:{(190,1),(191,1),(340,1),(343,1)}
267:{4,6}:{(189,1),(192,1),(344,1),(347,1)}
268:{5,7}:{(191,1),(193,1),(338,1),(343,1)}
269:{5,7}:{(192,1),(194,1),(342,1),(347,1)}
270:{6}:{(194,1),(348,1)}
271:{6}:{(193,1),(345,1)}
272:{2,4}:{(180,1),(197,1),(365,1),(367,1)}
273:{2,4}:{(179,1),(198,1),(364,1),(366,1)}
274:{2,3,6}:{(181,1),(196,1),(215,1),(356,1),(370,1),(894,1),(902,1)}
275:{2,3,6}:{(182,1),(195,1),(216,1),(357,1),(371,1),(893,1),(901,1)}
276:{2,3,5}:{(183,1),(197,1),(218,1),(365,1),(367,1),(376,1),(419,1),(613,1),(623,1)}
277:{2,3,5}:{(184,1),(198,1),(217,1),(364,1),(366,1),(377,1),(418,1),(612,1),(622,1)}
278:{2,3,7}:{(185,1),(197,1),(219,1),(369,1),(375,1),(421,1),(1251,1)}
279:{2,3,7}:{(186,1),(198,1),(220,1),(368,1),(374,1),(420,1),(1252,1)}
280:{4,5}:{(204,1),(236,1),(358,1),(399,1),(437,1),(584,1),(1247,1)}
281:{4,5}:{(203,1),(236,1),(359,1),(398,1),(437,1),(585,1),(1248,1)}
282:{4,6}:{(202,1),(210,1),(360,1),(400,1)}
283:{4,6}:{(201,1),(209,1),(361,1),(401,1)}
284:{4,7}:{(206,1),(226,1),(363,1),(437,1)}
285:{4,7}:{(205,1),(225,1),(362,1),(437,1)}
286:{1,5}:{(177,1),(208,1),(385,1)}
287:{1,5}:{(178,1),(207,1),(384,1)}
288:{1,4}:{(179,1),(228,1),(383,1),(397,1)}
289:{1,4}:{(180,1),(227,1),(382,1),(396,1)}
290:{1,3,6}:{(182,1),(208,1),(211,1),(388,1),(393,1),(895,1),(929,1)}
291:{1,3,6}:{(181,1),(207,1),(212,1),(389,1),(392,1),(896,1),(930,1)}
292:{1,5}:{(184,1),(214,1),(394,1)}
293:{1,5}:{(183,1),(213,1),(395,1)}
294:{1,4,7}:{(185,1),(212,1),(213,1),(390,1),(392,1),(421,1)}
295:{1,4,7}:{(186,1),(211,1),(214,1),(391,1),(393,1),(420,1)}
296:{1,2,5}:{(187,1),(200,1),(215,1),(370,1),(399,1),(405,1),(430,1),(665,1),(867,1)}
297:{1,2,5}:{(188,1),(199,1),(216,1),(371,1),(398,1),(404,1),(430,1),(664,1),(865,1)}
298:{2,5,7}:{(201,1),(217,1),(220,1),(398,1),(401,1),(403,1),(1307,1)}
299:{2,5,7}:{(202,1),(218,1),(219,1),(399,1),(400,1),(402,1),(1308,1)}
300:{2,6}:{(203,1),(220,1),(398,1),(430,1)}
301:{2,6}:{(204,1),(219,1),(399,1),(430,1)}
302:{2,4,6}:{(206,1),(218,1),(365,1),(376,1),(400,1),(402,1),(601,1),(935,1),(967,1),(993,1)}
303:{2,4,6}:{(205,1),(217,1),(364,1),(377,1),(401,1),(403,1),(600,1),(936,1),(968,1),(994,1)}
304:{1,2,6}:{(189,1),(208,1),(221,1),(407,1),(408,1),(871,1)}
305:{1,2,6}:{(190,1),(207,1),(222,1),(406,1),(409,1),(876,1)}
306:{1,4,7}:{(191,1),(222,1),(224,1),(409,1),(410,1),(423,1),(649,1)}
307:{1,4,7}:{(192,1),(221,1),(223,1),(408,1),(411,1),(422,1),(648,1)}
308:{1,5}:{(193,1),(224,1),(412,1),(424,1)}
309:{1,5}:{(194,1),(223,1),(413,1),(425,1)}
310:{2,5,6,7}:{(209,1),(225,1),(245,1),(380,1),(401,1),(436,1),(442,1),(653,1),(1209,1),(1235,1),(1366,1),(2426,1),(2442,1),(2665,1)}
311:{2,5,6,7}:{(210,1),(226,1),(245,1),(381,1),(400,1),(436,1),(442,1),(652,1),(1216,1),(1234,1),(1365,1),(2427,1),(2443,1),(2663,1)}
312:{1,2,3,7}:{(196,1),(212,1),(222,1),(227,1),(386,1),(417,1),(421,1),(423,1),(679,1),(1210,1),(1354,1),(2387,1),(2404,1)}
313:{1,2,3,7}:{(195,1),(211,1),(221,1),(228,1),(387,1),(416,1),(420,1),(422,1),(678,1),(1217,1),(1353,1),(2394,1),(2403,1)}
314:{1,2}:{(197,1),(213,1)}
315:{1,2}:{(198,1),(214,1)}
316:{3}:{(224,1)}
317:{3}:{(223,1)}
318:{4}:{(230,1),(430,1)}
319:{3,5}:{(233,1),(236,1),(426,1),(439,1),(687,1),(1382,1)}
320:{3,6}:{(231,1),(237,1),(440,1),(1778,1)}
321:{3,7}:{(232,1),(238,1),(441,1)}
322:{4}:{(234,1)}
323:{2,3,5,7}:{(231,1),(234,1),(235,1),(241,1),(431,1),(433,1),(434,1),(435,1),(445,1),(687,1),(693,1)}
324:{2,3,6}:{(232,1),(234,1),(243,1),(432,1),(435,1),(446,1)}
325:{2,3,6}:{(233,1),(235,1),(242,1),(430,1),(433,1),(447,1),(688,1),(692,1),(895,1),(896,1),(929,1),(930,1),(1009,1),(1784,1)}
326:{5,6}:{(236,1),(237,1),(436,1),(687,1)}
327:{4,6,7}:{(237,1),(238,1),(245,1),(428,1),(436,1),(682,1)}
328:{1,4}:{(229,1),(244,1),(429,1),(437,1),(698,1)}
329:{1,5,7}:{(231,1),(239,1),(240,1),(352,1),(353,1),(439,1),(440,1),(441,1),(698,1)}
330:{1,6}:{(232,1),(239,1),(350,1),(351,1),(441,1),(698,1)}
331:{1,4,6}:{(233,1),(240,1),(246,1),(356,1),(357,1),(438,1),(439,1),(440,1),(698,1)}
332:{2,5}:{(236,1),(242,1),(437,1)}
333:{2,6}:{(237,1),(241,1)}
334:{2,4,7}:{(238,1),(241,1),(243,1),(431,1),(435,1),(437,1),(689,1)}
335:{1,2,3,5}:{(230,1),(244,1),(246,1),(370,1),(371,1),(388,1),(389,1),(429,1),(430,1),(433,1),(438,1),(439,1),(576,1),(580,1),(664,1),(665,1),(670,1),(671,1),(686,1),(692,1),(698,1),(699,1),(865,1),(867,1),(895,1),(896,1),(1021,1),(1025,1),(1394,1),(1784,1)}
336:{1,2,5}:{(234,1),(239,1),(247,1),(366,1),(367,1),(444,1),(446,1)}
337:{1,2,4,7}:{(235,1),(240,1),(247,1),(368,1),(369,1),(420,1),(421,1),(431,1),(445,1),(447,1),(658,1),(659,1),(1011,1),(1018,1),(1022,1),(1384,1),(1395,1)}
338:{6,7}:{(268,1),(271,1),(465,1),(466,1)}
339:{2,3,4}:{(251,1),(262,1),(265,1),(455,1),(461,1),(482,1),(494,1),(716,1)}
340:{4,5}:{(264,1),(266,1),(460,1),(463,1)}
341:{2,3,4}:{(250,1),(263,1),(264,1),(450,1),(460,1),(483,1),(495,1),(709,1)}
342:{6,7}:{(269,1),(270,1),(464,1),(467,1)}
343:{5,6}:{(266,1),(268,1),(463,1),(465,1)}
344:{4,5}:{(265,1),(267,1),(461,1),(462,1)}
345:{7}:{(271,1)}
346:{2,3}:{(251,1),(263,1),(451,1)}
347:{5,6}:{(267,1),(269,1),(462,1),(464,1)}
348:{7}:{(270,1)}
349:{2,3}:{(250,1),(262,1),(452,1)}
350:{6}:{(249,1),(466,1)}
351:{6}:{(248,1),(467,1)}
352:{5,7}:{(249,1),(253,1),(463,1),(465,1),(466,1)}
353:{5,7}:{(248,1),(252,1),(462,1),(464,1),(467,1)}
354:{3,4}:{(255,1),(318,1),(461,1),(482,1),(503,1)}
355:{3,4}:{(254,1),(318,1),(460,1),(483,1),(502,1)}
356:{4,6}:{(253,1),(274,1),(460,1),(463,1),(465,1)}
357:{4,6}:{(252,1),(275,1),(461,1),(462,1),(464,1)}
358:{3,5}:{(259,1),(280,1),(463,1),(506,1),(551,1),(732,1)}
359:{3,5}:{(258,1),(281,1),(462,1),(507,1),(551,1),(731,1)}
360:{3,6}:{(256,1),(282,1),(465,1),(511,1)}
361:{3,6}:{(257,1),(283,1),(464,1),(510,1)}
362:{3,7}:{(261,1),(285,1),(467,1),(513,1),(551,1)}
363:{3,7}:{(260,1),(284,1),(466,1),(512,1),(551,1)}
364:{4}:{(277,1)}
365:{4}:{(276,1)}
366:{2,5}:{(248,1),(273,1),(475,1),(479,1),(1467,1)}
367:{2,5}:{(249,1),(272,1),(474,1),(478,1),(1466,1)}
368:{2,4,7}:{(252,1),(273,1),(279,1),(476,1),(480,1),(485,1),(1054,1),(1078,1),(1467,1)}
369:{2,4,7}:{(253,1),(272,1),(278,1),(477,1),(481,1),(484,1),(1053,1),(1077,1),(1466,1)}
370:{2,3,5}:{(254,1),(274,1),(296,1),(460,1),(463,1),(483,1),(495,1),(729,1),(734,1)}
371:{2,3,5}:{(255,1),(275,1),(297,1),(461,1),(462,1),(482,1),(494,1),(730,1),(733,1)}
372:{2,3,5,7}:{(256,1),(276,1),(278,1),(299,1),(477,1),(481,1),(488,1),(490,1),(492,1),(535,1),(732,1),(750,1),(762,1),(1093,1),(1466,1)}
373:{2,3,5,7}:{(257,1),(277,1),(279,1),(298,1),(476,1),(480,1),(489,1),(491,1),(493,1),(534,1),(731,1),(749,1),(761,1),(1094,1),(1467,1)}
374:{2,3,6}:{(258,1),(279,1),(300,1),(482,1),(485,1),(489,1),(537,1),(1059,1),(1467,1)}
375:{2,3,6}:{(259,1),(278,1),(301,1),(483,1),(484,1),(488,1),(536,1),(1060,1),(1466,1)}
376:{2,3,6}:{(260,1),(276,1),(302,1),(478,1),(487,1),(492,1),(538,1),(1103,1),(1466,1)}
377:{2,3,6}:{(261,1),(277,1),(303,1),(479,1),(486,1),(493,1),(539,1),(1104,1),(1467,1)}
378:{4,5,6}:{(281,1),(283,1),(326,1),(471,1),(497,1),(521,1),(548,1),(559,1),(721,1),(731,1),(835,1),(1854,1),(2236,1),(2243,1)}
379:{4,5,6}:{(280,1),(282,1),(326,1),(470,1),(496,1),(520,1),(548,1),(559,1),(722,1),(732,1),(835,1),(1855,1),(2237,1),(2242,1)}
380:{4,6,7}:{(283,1),(285,1),(310,1),(473,1),(497,1),(559,1),(1410,1),(2243,1),(2785,1)}
381:{4,6,7}:{(282,1),(284,1),(311,1),(472,1),(496,1),(559,1),(1418,1),(2242,1),(2779,1)}
382:{1,5}:{(249,1),(289,1),(498,1),(509,1),(1574,1)}
383:{1,5}:{(248,1),(288,1),(499,1),(508,1),(1575,1)}
384:{1,4}:{(250,1),(287,1),(452,1),(515,1)}
385:{1,4}:{(251,1),(286,1),(451,1),(514,1)}
386:{1,4,7}:{(253,1),(289,1),(312,1),(500,1),(505,1),(517,1),(2215,1)}
387:{1,4,7}:{(252,1),(288,1),(313,1),(501,1),(504,1),(516,1),(2208,1)}
388:{1,3,5}:{(255,1),(286,1),(290,1),(503,1),(507,1),(514,1),(1094,1)}
389:{1,3,5}:{(254,1),(287,1),(291,1),(502,1),(506,1),(515,1),(1093,1)}
390:{1,5,7}:{(256,1),(293,1),(294,1),(506,1),(511,1),(512,1)}
391:{1,5,7}:{(257,1),(292,1),(295,1),(507,1),(510,1),(513,1)}
392:{1,4,6}:{(259,1),(291,1),(294,1),(502,1),(506,1),(511,1),(536,1),(763,1)}
393:{1,4,6}:{(258,1),(290,1),(295,1),(503,1),(507,1),(510,1),(537,1),(764,1)}
394:{1,6}:{(261,1),(292,1),(513,1),(1575,1)}
395:{1,6}:{(260,1),(293,1),(512,1),(1574,1)}
396:{3,4}:{(289,1),(316,1),(509,1),(519,1),(546,1),(765,1)}
397:{3,4}:{(288,1),(317,1),(508,1),(518,1),(547,1),(766,1)}
398:{2,5}:{(281,1),(300,1),(522,1),(1467,1)}
399:{2,5}:{(280,1),(301,1),(523,1),(1466,1)}
400:{2,6}:{(282,1),(299,1),(1499,1)}
401:{2,6}:{(283,1),(298,1),(1498,1)}
402:{2,4,7}:{(284,1),(299,1),(302,1),(477,1),(492,1),(523,1),(1116,1),(1173,1),(1466,1)}
403:{2,4,7}:{(285,1),(298,1),(303,1),(476,1),(493,1),(522,1),(1115,1),(1174,1),(1467,1)}
404:{1,2,4}:{(262,1),(297,1),(328,1),(452,1),(461,1),(494,1),(522,1),(708,1),(764,1),(816,1)}
405:{1,2,4}:{(263,1),(296,1),(328,1),(451,1),(460,1),(495,1),(523,1),(715,1),(763,1),(815,1)}
406:{1,2,5}:{(264,1),(287,1),(305,1),(450,1),(453,1),(1047,1)}
407:{1,2,5}:{(265,1),(286,1),(304,1),(448,1),(455,1),(1045,1)}
408:{1,4,6}:{(267,1),(304,1),(307,1),(448,1),(457,1),(541,1),(707,1)}
409:{1,4,6}:{(266,1),(305,1),(306,1),(453,1),(456,1),(540,1),(711,1)}
410:{1,5,7}:{(268,1),(306,1),(308,1),(456,1),(459,1),(543,1)}
411:{1,5,7}:{(269,1),(307,1),(309,1),(449,1),(457,1),(542,1)}
412:{1,6}:{(271,1),(308,1),(454,1),(545,1),(1574,1)}
413:{1,6}:{(270,1),(309,1),(458,1),(544,1),(1575,1)}
414:{1,2,4}:{(272,1),(289,1),(314,1),(526,1),(528,1),(546,1),(765,1)}
415:{1,2,4}:{(273,1),(288,1),(315,1),(527,1),(529,1),(547,1),(766,1)}
416:{1,2,3,6}:{(275,1),(290,1),(304,1),(313,1),(504,1),(533,1),(537,1),(541,1),(828,1),(1027,1),(1158,1)}
417:{1,2,3,6}:{(274,1),(291,1),(305,1),(312,1),(505,1),(532,1),(536,1),(540,1),(827,1),(1037,1),(1157,1)}
418:{1,2,5}:{(277,1),(292,1),(315,1),(527,1),(539,1),(807,1)}
419:{1,2,5}:{(276,1),(293,1),(314,1),(526,1),(538,1),(808,1)}
420:{1,2,7}:{(279,1),(295,1),(315,1),(537,1),(1512,1)}
421:{1,2,7}:{(278,1),(294,1),(314,1),(536,1),(1513,1)}
422:{3,7}:{(307,1),(317,1),(541,1)}
423:{3,7}:{(306,1),(316,1),(540,1)}
424:{3,5}:{(308,1),(316,1),(519,1),(545,1),(790,1)}
425:{3,5}:{(309,1),(317,1),(518,1),(544,1),(789,1)}
426:{4,5}:{(318,1),(319,1),(548,1),(549,1),(553,1)}
427:{3,5,6}:{(319,1),(320,1),(326,1),(548,1),(550,1),(561,1),(839,1)}
428:{3,6,7}:{(320,1),(321,1),(327,1),(550,1),(562,1)}
429:{3}:{(328,1)}
430:{2}:{(318,1)}
431:{4,7}:{(322,1),(323,1),(549,1),(554,1)}
432:{3,4,6}:{(322,1),(324,1),(554,1),(555,1),(558,1),(566,1),(846,1)}
433:{2,3,5}:{(319,1),(325,1),(332,1),(549,1),(551,1),(553,1),(567,1),(840,1),(844,1),(1093,1),(1094,1),(1466,1),(1467,1)}
434:{2,3,6}:{(320,1),(323,1),(333,1),(554,1),(568,1),(846,1)}
435:{2,3,7}:{(321,1),(324,1),(334,1),(551,1),(555,1),(569,1),(844,1),(1466,1),(1467,1)}
436:{5,7}:{(326,1),(327,1)}
437:{4}:{(332,1),(551,1)}
438:{1,4}:{(318,1),(335,1),(460,1),(461,1),(549,1),(552,1)}
439:{1,5}:{(319,1),(331,1),(462,1),(463,1)}
440:{1,6}:{(320,1),(329,1),(464,1),(465,1)}
441:{1,7}:{(321,1),(330,1),(466,1),(467,1)}
442:{2,5,6}:{(326,1),(332,1),(333,1),(559,1),(563,1)}
443:{2,4,6,7}:{(327,1),(333,1),(334,1),(554,1),(557,1),(559,1),(563,1),(836,1),(841,1),(842,1)}
444:{1,4,5}:{(322,1),(336,1),(474,1),(475,1),(526,1),(527,1),(558,1),(566,1),(807,1),(808,1)}
445:{1,2,5,7}:{(323,1),(329,1),(336,1),(337,1),(480,1),(481,1),(565,1),(567,1),(568,1),(569,1),(1191,1),(1466,1),(1467,1),(1578,1)}
446:{1,2,6}:{(324,1),(330,1),(336,1),(478,1),(479,1),(566,1),(569,1),(1466,1),(1467,1)}
447:{1,2,4,6}:{(325,1),(331,1),(337,1),(484,1),(485,1),(536,1),(537,1),(549,1),(554,1),(564,1),(567,1),(568,1),(763,1),(764,1),(797,1),(798,1),(842,1),(848,1),(852,1),(1192,1),(1204,1),(1466,1),(1467,1),(1585,1)}
448:{1,4,5}:{(344,1),(407,1),(408,1),(574,1),(625,1),(632,1),(861,1)}
449:{1,6,7}:{(342,1),(411,1),(413,1),(578,1),(627,1),(629,1),(1630,1)}
450:{1,2,4}:{(341,1),(384,1),(406,1),(573,1),(633,1),(665,1),(1224,1)}
451:{1,2}:{(346,1),(385,1)}
452:{1,2}:{(349,1),(384,1)}
453:{1,4,5}:{(340,1),(406,1),(409,1),(577,1),(624,1),(633,1),(857,1)}
454:{1,7}:{(345,1),(412,1),(575,1)}
455:{1,2,4}:{(339,1),(385,1),(407,1),(572,1),(632,1),(664,1),(1229,1)}
456:{1,5,6}:{(343,1),(409,1),(410,1),(581,1),(624,1),(626,1)}
457:{1,5,6}:{(347,1),(408,1),(411,1),(571,1),(625,1),(627,1)}
458:{1,7}:{(348,1),(413,1),(579,1)}
459:{1,6,7}:{(338,1),(410,1),(412,1),(570,1),(626,1),(628,1),(1628,1)}
460:{4}:{(370,1)}
461:{4}:{(371,1)}
462:{5}:{(357,1)}
463:{5}:{(356,1)}
464:{6}:{(353,1)}
465:{6}:{(352,1)}
466:{7}:{(350,1)}
467:{7}:{(351,1)}
468:{3,4,5}:{(355,1),(358,1),(426,1),(583,1),(584,1),(591,1),(610,1),(630,1),(684,1),(686,1),(882,1),(889,1),(896,1),(1006,1),(1012,1),(1247,1),(1256,1),(1300,1),(1380,1),(1382,1),(1653,1),(1691,1),(1784,1)}
469:{3,4,5}:{(354,1),(359,1),(426,1),(582,1),(585,1),(590,1),(611,1),(631,1),(684,1),(686,1),(881,1),(890,1),(895,1),(1006,1),(1012,1),(1248,1),(1255,1),(1299,1),(1380,1),(1382,1),(1652,1),(1690,1),(1784,1)}
470:{3,5,6}:{(358,1),(360,1),(379,1),(586,1),(591,1),(593,1),(635,1),(685,1),(1006,1),(1382,1),(1691,1),(1778,1),(2092,1)}
471:{3,5,6}:{(359,1),(361,1),(378,1),(587,1),(590,1),(592,1),(634,1),(685,1),(1006,1),(1382,1),(1690,1),(1778,1),(2091,1)}
472:{3,6,7}:{(360,1),(363,1),(381,1),(588,1),(593,1),(642,1),(685,1),(1594,1),(1778,1),(2092,1),(2882,1)}
473:{3,6,7}:{(361,1),(362,1),(380,1),(589,1),(592,1),(643,1),(685,1),(1600,1),(1778,1),(2091,1),(2886,1)}
474:{4,5}:{(365,1),(367,1),(597,1),(613,1),(1247,1)}
475:{4,5}:{(364,1),(366,1),(596,1),(612,1),(1248,1)}
476:{4,7}:{(364,1),(373,1),(585,1),(600,1),(1248,1)}
477:{4,7}:{(365,1),(372,1),(584,1),(601,1),(1247,1)}
478:{2,6}:{(350,1),(367,1),(597,1),(609,1)}
479:{2,6}:{(351,1),(366,1),(596,1),(608,1)}
480:{2,5,7}:{(353,1),(366,1),(368,1),(599,1),(605,1),(606,1),(608,1)}
481:{2,5,7}:{(352,1),(367,1),(369,1),(598,1),(604,1),(607,1),(609,1)}
482:{2,3}:{(354,1),(430,1),(603,1),(664,1)}
483:{2,3}:{(355,1),(430,1),(602,1),(665,1)}
484:{2,4,6}:{(356,1),(369,1),(375,1),(584,1),(601,1),(602,1),(604,1),(607,1),(884,1),(902,1)}
485:{2,4,6}:{(357,1),(368,1),(374,1),(585,1),(600,1),(603,1),(605,1),(606,1),(883,1),(901,1)}
486:{3,4,6}:{(364,1),(377,1),(596,1),(600,1),(612,1),(615,1),(622,1),(669,1),(897,1),(916,1),(925,1),(929,1),(936,1),(1248,1)}
487:{3,4,6}:{(365,1),(376,1),(597,1),(601,1),(613,1),(614,1),(623,1),(668,1),(898,1),(915,1),(926,1),(930,1),(935,1),(1247,1)}
488:{2,3,5}:{(358,1),(375,1),(399,1),(584,1),(604,1),(619,1),(671,1),(889,1),(896,1)}
489:{2,3,5}:{(359,1),(374,1),(398,1),(585,1),(605,1),(618,1),(670,1),(890,1),(895,1)}
490:{2,3,6}:{(360,1),(372,1),(400,1),(601,1),(607,1),(674,1),(915,1),(930,1)}
491:{2,3,6}:{(361,1),(373,1),(401,1),(600,1),(606,1),(675,1),(916,1),(929,1)}
492:{2,3,7}:{(363,1),(376,1),(402,1),(609,1),(614,1),(619,1),(676,1)}
493:{2,3,7}:{(362,1),(377,1),(403,1),(608,1),(615,1),(618,1),(677,1)}
494:{2,3}:{(404,1),(429,1),(594,1),(895,1)}
495:{2,3}:{(405,1),(429,1),(595,1),(896,1)}
496:{4,5,7}:{(379,1),(381,1),(436,1),(593,1),(652,1),(682,1),(888,1),(1606,1)}
497:{4,5,7}:{(378,1),(380,1),(436,1),(592,1),(653,1),(682,1),(887,1),(1614,1)}
498:{1,6}:{(350,1),(382,1),(628,1),(637,1)}
499:{1,6}:{(351,1),(383,1),(629,1),(636,1)}
500:{1,5,7}:{(352,1),(382,1),(386,1),(624,1),(626,1),(628,1),(639,1),(1628,1),(2027,1)}
501:{1,5,7}:{(353,1),(383,1),(387,1),(625,1),(627,1),(629,1),(638,1),(1630,1),(2026,1)}
502:{1,4}:{(355,1),(389,1),(665,1),(1247,1)}
503:{1,4}:{(354,1),(388,1),(664,1),(1248,1)}
504:{1,4,6}:{(357,1),(387,1),(416,1),(625,1),(627,1),(632,1),(646,1)}
505:{1,4,6}:{(356,1),(386,1),(417,1),(624,1),(626,1),(633,1),(647,1)}
506:{1,5}:{(358,1),(392,1),(698,1)}
507:{1,5}:{(359,1),(393,1),(698,1)}
508:{3,5}:{(383,1),(397,1),(636,1),(641,1),(1304,1)}
509:{3,5}:{(382,1),(396,1),(637,1),(640,1),(1303,1)}
510:{1,6}:{(361,1),(391,1)}
511:{1,6}:{(360,1),(390,1)}
512:{1,7}:{(363,1),(395,1),(698,1)}
513:{1,7}:{(362,1),(394,1),(698,1)}
514:{1,3}:{(385,1),(429,1),(698,1)}
515:{1,3}:{(384,1),(429,1),(698,1)}
516:{3,4,7}:{(387,1),(397,1),(422,1),(638,1),(646,1),(648,1),(678,1),(937,1),(1987,1)}
517:{3,4,7}:{(386,1),(396,1),(423,1),(639,1),(647,1),(649,1),(679,1),(938,1),(1988,1)}
518:{4}:{(425,1),(681,1)}
519:{4}:{(424,1),(680,1)}
520:{2,5,6}:{(379,1),(399,1),(400,1),(652,1),(655,1),(688,1),(1010,1),(1706,1),(2083,1),(2443,1)}
521:{2,5,6}:{(378,1),(398,1),(401,1),(653,1),(654,1),(688,1),(1010,1),(1707,1),(2084,1),(2442,1)}
522:{2,4}:{(398,1),(437,1),(585,1),(618,1)}
523:{2,4}:{(399,1),(437,1),(584,1),(619,1)}
524:{2,4,6,7}:{(380,1),(401,1),(403,1),(600,1),(620,1),(653,1),(654,1),(887,1),(1315,1),(1344,1),(1366,1),(1624,1),(2058,1),(2086,1),(2442,1)}
525:{2,4,6,7}:{(381,1),(400,1),(402,1),(601,1),(621,1),(652,1),(655,1),(888,1),(1316,1),(1343,1),(1365,1),(1616,1),(2057,1),(2085,1),(2443,1)}
526:{1,4}:{(365,1),(419,1),(623,1)}
527:{1,4}:{(364,1),(418,1),(622,1)}
528:{1,2,5}:{(367,1),(382,1),(414,1),(657,1),(661,1),(673,1),(1377,1)}
529:{1,2,5}:{(366,1),(383,1),(415,1),(656,1),(660,1),(672,1),(1378,1)}
530:{1,2,4,7}:{(369,1),(386,1),(414,1),(421,1),(658,1),(663,1),(667,1),(679,1),(938,1),(1313,1),(1354,1),(1621,1),(2070,1),(2102,1),(2404,1)}
531:{1,2,4,7}:{(368,1),(387,1),(415,1),(420,1),(659,1),(662,1),(666,1),(678,1),(937,1),(1314,1),(1353,1),(1619,1),(2069,1),(2101,1),(2403,1)}
532:{1,2,3,5}:{(370,1),(389,1),(406,1),(417,1),(573,1),(577,1),(624,1),(633,1),(665,1),(671,1),(868,1),(879,1),(896,1),(975,1),(992,1)}
533:{1,2,3,5}:{(371,1),(388,1),(407,1),(416,1),(572,1),(574,1),(625,1),(632,1),(664,1),(670,1),(864,1),(878,1),(895,1),(976,1),(991,1)}
534:{1,2,5,7}:{(373,1),(391,1),(418,1),(420,1),(659,1),(670,1),(675,1),(677,1),(959,1),(979,1)}
535:{1,2,5,7}:{(372,1),(390,1),(419,1),(421,1),(658,1),(671,1),(674,1),(676,1),(960,1),(980,1)}
536:{1,2,6}:{(375,1),(392,1),(421,1),(665,1),(671,1),(1321,1)}
537:{1,2,6}:{(374,1),(393,1),(420,1),(664,1),(670,1),(1322,1)}
538:{1,2,6}:{(376,1),(395,1),(419,1),(668,1),(676,1),(1377,1)}
539:{1,2,6}:{(377,1),(394,1),(418,1),(669,1),(677,1),(1378,1)}
540:{3,6}:{(409,1),(423,1),(577,1)}
541:{3,6}:{(408,1),(422,1),(574,1)}
542:{3,5,7}:{(411,1),(422,1),(425,1),(571,1),(578,1),(648,1),(860,1)}
543:{3,5,7}:{(410,1),(423,1),(424,1),(570,1),(581,1),(649,1),(859,1)}
544:{3,6}:{(413,1),(425,1),(579,1),(651,1),(1304,1)}
545:{3,6}:{(412,1),(424,1),(575,1),(650,1),(1303,1)}
546:{2,3}:{(396,1),(414,1),(623,1),(680,1)}
547:{2,3}:{(397,1),(415,1),(622,1),(681,1)}
548:{4,6}:{(426,1),(427,1),(682,1),(688,1)}
549:{4}:{(433,1)}
550:{3,5,7}:{(427,1),(428,1),(436,1),(682,1),(697,1),(1008,1)}
551:{3}:{(437,1),(698,1)}
552:{3,4}:{(429,1),(438,1),(686,1),(692,1),(895,1),(896,1),(1012,1),(1784,1)}
553:{2,5}:{(426,1),(430,1),(688,1),(689,1)}
554:{4,6}:{(431,1),(434,1),(687,1)}
555:{3,4,7}:{(431,1),(432,1),(435,1),(684,1),(693,1),(701,1),(1247,1),(1248,1)}
556:{2,3,5,6}:{(427,1),(433,1),(434,1),(442,1),(683,1),(685,1),(687,1),(688,1),(691,1),(702,1),(1006,1),(1009,1),(1010,1),(1013,1),(1014,1),(1015,1),(1382,1),(1383,1),(1778,1)}
557:{2,3,6,7}:{(428,1),(434,1),(435,1),(443,1),(685,1),(690,1),(691,1),(703,1),(1013,1),(1383,1),(1778,1)}
558:{3,5}:{(432,1),(444,1),(622,1),(623,1),(687,1)}
559:{4,6}:{(437,1),(442,1),(685,1),(694,1),(1778,1)}
560:{1,4,5}:{(426,1),(438,1),(439,1),(582,1),(583,1),(686,1),(695,1),(699,1),(865,1),(867,1),(1012,1),(1382,1)}
561:{1,5,6}:{(427,1),(439,1),(440,1),(586,1),(587,1),(695,1),(697,1),(1382,1),(1778,1)}
562:{1,6,7}:{(428,1),(440,1),(441,1),(588,1),(589,1),(697,1),(1778,1)}
563:{2,5,7}:{(436,1),(442,1),(443,1),(687,1),(694,1),(1010,1)}
564:{1,2,4}:{(430,1),(438,1),(602,1),(603,1),(664,1),(665,1),(689,1),(692,1),(699,1),(1012,1),(1025,1)}
565:{1,4,5,7}:{(431,1),(444,1),(445,1),(598,1),(599,1),(658,1),(659,1),(687,1),(693,1),(696,1),(700,1),(701,1),(959,1),(960,1),(979,1),(980,1),(1005,1),(1018,1),(1024,1),(1247,1),(1248,1)}
566:{1,4,6}:{(432,1),(444,1),(446,1),(596,1),(597,1),(701,1),(704,1),(1247,1),(1248,1)}
567:{1,2,5}:{(433,1),(439,1),(447,1),(604,1),(605,1),(687,1),(696,1),(698,1),(959,1),(960,1),(1010,1),(1025,1),(1382,1)}
568:{1,2,6}:{(434,1),(440,1),(445,1),(606,1),(607,1),(700,1),(1383,1),(1778,1)}
569:{1,2,7}:{(435,1),(441,1),(446,1),(608,1),(609,1),(698,1),(701,1),(1025,1)}
570:{3,6,7}:{(459,1),(543,1),(545,1),(705,1),(777,1),(779,1),(1401,1)}
571:{3,5,6}:{(457,1),(541,1),(542,1),(707,1),(778,1),(781,1),(1035,1)}
572:{1,2,3}:{(455,1),(494,1),(514,1),(714,1),(816,1),(1404,1)}
573:{1,2,3}:{(450,1),(495,1),(515,1),(710,1),(815,1),(1407,1)}
574:{3,5}:{(448,1),(541,1),(716,1)}
575:{3,7}:{(454,1),(545,1),(712,1)}
576:{1,2,3}:{(452,1),(494,1),(515,1),(708,1),(816,1),(1133,1)}
577:{3,5}:{(453,1),(540,1),(709,1)}
578:{3,6,7}:{(449,1),(542,1),(544,1),(713,1),(778,1),(780,1),(1398,1)}
579:{3,7}:{(458,1),(544,1),(706,1)}
580:{1,2,3}:{(451,1),(495,1),(514,1),(715,1),(815,1),(1134,1)}
581:{3,5,6}:{(456,1),(540,1),(543,1),(711,1),(777,1),(782,1),(1030,1)}
582:{4,5}:{(461,1),(462,1),(719,1),(730,1),(733,1)}
583:{4,5}:{(460,1),(463,1),(720,1),(729,1),(734,1)}
584:{4}:{(488,1)}
585:{4}:{(489,1)}
586:{5,6}:{(463,1),(465,1),(720,1),(723,1)}
587:{5,6}:{(462,1),(464,1),(719,1),(724,1)}
588:{6,7}:{(465,1),(466,1),(723,1)}
589:{6,7}:{(464,1),(467,1),(724,1)}
590:{3,4,6}:{(469,1),(471,1),(548,1),(719,1),(721,1),(726,1),(746,1),(772,1),(839,1),(1059,1),(1068,1),(1192,1)}
591:{3,4,6}:{(468,1),(470,1),(548,1),(720,1),(722,1),(725,1),(745,1),(771,1),(839,1),(1060,1),(1067,1),(1192,1)}
592:{3,5,7}:{(471,1),(473,1),(497,1),(724,1),(726,1),(776,1),(1578,1),(1797,1)}
593:{3,5,7}:{(470,1),(472,1),(496,1),(723,1),(725,1),(775,1),(1578,1),(1793,1)}
594:{3,4}:{(461,1),(494,1),(708,1),(730,1)}
595:{3,4}:{(460,1),(495,1),(715,1),(729,1)}
596:{4,6}:{(475,1),(479,1),(738,1),(747,1)}
597:{4,6}:{(474,1),(478,1),(737,1),(748,1)}
598:{4,5,7}:{(474,1),(477,1),(481,1),(718,1),(732,1),(735,1),(737,1),(750,1),(1053,1),(1074,1)}
599:{4,5,7}:{(475,1),(476,1),(480,1),(717,1),(731,1),(736,1),(738,1),(749,1),(1054,1),(1073,1)}
600:{4,6}:{(476,1),(491,1),(731,1)}
601:{4,6}:{(477,1),(490,1),(732,1)}
602:{2,4}:{(460,1),(483,1),(734,1)}
603:{2,4}:{(461,1),(482,1),(733,1)}
604:{2,5}:{(463,1),(484,1),(718,1),(732,1)}
605:{2,5}:{(462,1),(485,1),(717,1),(731,1)}
606:{2,6}:{(464,1),(480,1),(736,1)}
607:{2,6}:{(465,1),(481,1),(735,1)}
608:{2,7}:{(467,1),(479,1),(738,1)}
609:{2,7}:{(466,1),(478,1),(737,1)}
610:{2,3,5}:{(468,1),(483,1),(553,1),(734,1),(739,1),(745,1),(806,1),(844,1),(1075,1),(1102,1),(1466,1)}
611:{2,3,5}:{(469,1),(482,1),(553,1),(733,1),(740,1),(746,1),(805,1),(844,1),(1076,1),(1101,1),(1467,1)}
612:{3,5}:{(475,1),(486,1),(731,1),(807,1),(1105,1)}
613:{3,5}:{(474,1),(487,1),(732,1),(808,1),(1106,1)}
614:{3,4,7}:{(477,1),(487,1),(492,1),(727,1),(737,1),(750,1),(762,1),(811,1),(1099,1),(1116,1)}
615:{3,4,7}:{(476,1),(486,1),(493,1),(728,1),(738,1),(749,1),(761,1),(812,1),(1100,1),(1115,1)}
616:{2,3,5,6}:{(471,1),(489,1),(491,1),(521,1),(721,1),(731,1),(742,1),(746,1),(753,1),(755,1),(813,1),(1057,1),(1059,1),(1068,1),(1076,1),(1085,1),(1094,1),(1193,1),(1465,1),(1467,1),(1480,1),(1895,1),(2236,1)}
617:{2,3,5,6}:{(470,1),(488,1),(490,1),(520,1),(722,1),(732,1),(741,1),(745,1),(754,1),(756,1),(814,1),(1058,1),(1060,1),(1067,1),(1075,1),(1086,1),(1093,1),(1193,1),(1464,1),(1466,1),(1481,1),(1894,1),(2237,1)}
618:{2,3}:{(522,1),(551,1),(728,1),(816,1)}
619:{2,3}:{(523,1),(551,1),(727,1),(815,1)}
620:{2,3,6,7}:{(473,1),(491,1),(493,1),(524,1),(743,1),(752,1),(753,1),(755,1),(823,1),(1465,1),(1467,1),(1488,1),(1805,1),(1872,1),(1895,1),(1897,1)}
621:{2,3,6,7}:{(472,1),(490,1),(492,1),(525,1),(744,1),(751,1),(754,1),(756,1),(824,1),(1464,1),(1466,1),(1489,1),(1812,1),(1873,1),(1894,1),(1896,1)}
622:{3}:{(527,1)}
623:{3}:{(526,1)}
624:{1,5}:{(463,1),(505,1),(782,1)}
625:{1,5}:{(462,1),(504,1),(781,1)}
626:{1,6}:{(465,1),(500,1),(777,1)}
627:{1,6}:{(464,1),(501,1),(778,1)}
628:{1,7}:{(466,1),(498,1),(779,1)}
629:{1,7}:{(467,1),(499,1),(780,1)}
630:{1,4,5}:{(468,1),(502,1),(506,1),(763,1),(771,1),(786,1),(806,1),(849,1),(1120,1),(1147,1),(1199,1),(1537,1),(1585,1)}
631:{1,4,5}:{(469,1),(503,1),(507,1),(764,1),(772,1),(785,1),(805,1),(849,1),(1119,1),(1148,1),(1199,1),(1536,1),(1585,1)}
632:{1,4}:{(461,1),(533,1),(716,1),(1117,1)}
633:{1,4}:{(460,1),(532,1),(709,1),(1118,1)}
634:{1,5,6}:{(471,1),(507,1),(510,1),(772,1),(776,1),(850,1),(1199,1),(1536,1),(1933,1)}
635:{1,5,6}:{(470,1),(506,1),(511,1),(771,1),(775,1),(850,1),(1199,1),(1537,1),(1932,1)}
636:{3,6}:{(499,1),(508,1),(780,1),(783,1)}
637:{3,6}:{(498,1),(509,1),(779,1),(784,1)}
638:{3,5,7}:{(501,1),(508,1),(516,1),(778,1),(780,1),(781,1),(787,1),(1398,1),(1797,1)}
639:{3,5,7}:{(500,1),(509,1),(517,1),(777,1),(779,1),(782,1),(788,1),(1401,1),(1793,1)}
640:{4,5}:{(509,1),(519,1),(765,1),(784,1),(790,1),(822,1),(1106,1),(1151,1)}
641:{4,5}:{(508,1),(518,1),(766,1),(783,1),(789,1),(821,1),(1105,1),(1152,1)}
642:{1,6,7}:{(472,1),(511,1),(512,1),(775,1),(850,1),(1835,1),(1932,1),(2983,1)}
643:{1,6,7}:{(473,1),(510,1),(513,1),(776,1),(850,1),(1829,1),(1933,1),(2981,1)}
644:{1,3,4}:{(503,1),(514,1),(552,1),(715,1),(785,1),(825,1),(849,1),(1134,1),(1148,1),(1443,1)}
645:{1,3,4}:{(502,1),(515,1),(552,1),(708,1),(786,1),(826,1),(849,1),(1133,1),(1147,1),(1442,1)}
646:{3,4,6}:{(504,1),(516,1),(541,1),(707,1),(716,1),(778,1),(781,1),(828,1),(1113,1),(1117,1)}
647:{3,4,6}:{(505,1),(517,1),(540,1),(709,1),(711,1),(777,1),(782,1),(827,1),(1114,1),(1118,1)}
648:{4,7}:{(518,1),(542,1),(707,1),(829,1)}
649:{4,7}:{(519,1),(543,1),(711,1),(830,1)}
650:{4,6}:{(519,1),(545,1),(712,1),(790,1),(832,1),(1031,1),(1151,1)}
651:{4,6}:{(518,1),(544,1),(706,1),(789,1),(831,1),(1032,1),(1152,1)}
652:{2,5,7}:{(496,1),(520,1),(525,1),(732,1),(841,1),(1496,1),(1530,1),(2237,1)}
653:{2,5,7}:{(497,1),(521,1),(524,1),(731,1),(841,1),(1497,1),(1531,1),(2236,1)}
654:{2,4,6}:{(521,1),(522,1),(559,1),(721,1),(755,1),(791,1),(1465,1),(1467,1),(1882,1),(1899,1)}
655:{2,4,6}:{(520,1),(523,1),(559,1),(722,1),(756,1),(792,1),(1464,1),(1466,1),(1883,1),(1898,1)}
656:{1,4,5}:{(475,1),(527,1),(529,1),(758,1),(766,1),(794,1),(807,1),(1105,1),(1136,1)}
657:{1,4,5}:{(474,1),(526,1),(528,1),(757,1),(765,1),(793,1),(808,1),(1106,1),(1135,1)}
658:{1,4,7}:{(477,1),(526,1),(535,1),(762,1),(763,1),(797,1)}
659:{1,4,7}:{(476,1),(527,1),(534,1),(761,1),(764,1),(798,1)}
660:{1,2,6}:{(479,1),(499,1),(529,1),(794,1),(804,1),(817,1)}
661:{1,2,6}:{(478,1),(498,1),(528,1),(793,1),(803,1),(818,1)}
662:{1,2,5,7}:{(480,1),(501,1),(529,1),(531,1),(795,1),(799,1),(801,1),(804,1),(820,1),(1467,1),(1572,1),(1825,1),(1870,1),(1872,1),(1953,1)}
663:{1,2,5,7}:{(481,1),(500,1),(528,1),(530,1),(796,1),(800,1),(802,1),(803,1),(819,1),(1466,1),(1573,1),(1817,1),(1871,1),(1873,1),(1952,1)}
664:{1,2}:{(482,1),(503,1),(1467,1)}
665:{1,2}:{(483,1),(502,1),(1466,1)}
666:{1,2,4,6}:{(485,1),(504,1),(531,1),(537,1),(764,1),(798,1),(799,1),(801,1),(810,1),(828,1),(1109,1),(1113,1),(1117,1),(1158,1),(1413,1),(1467,1)}
667:{1,2,4,6}:{(484,1),(505,1),(530,1),(536,1),(763,1),(797,1),(800,1),(802,1),(809,1),(827,1),(1110,1),(1114,1),(1118,1),(1157,1),(1411,1),(1466,1)}
668:{1,4,6}:{(487,1),(526,1),(538,1),(808,1),(811,1),(834,1),(1135,1),(1161,1)}
669:{1,4,6}:{(486,1),(527,1),(539,1),(807,1),(812,1),(833,1),(1136,1),(1162,1)}
670:{1,2,5}:{(489,1),(507,1),(537,1),(764,1),(816,1),(1119,1)}
671:{1,2,5}:{(488,1),(506,1),(536,1),(763,1),(815,1),(1120,1)}
672:{2,3,5}:{(508,1),(529,1),(547,1),(758,1),(766,1),(817,1),(821,1),(1104,1),(1105,1)}
673:{2,3,5}:{(509,1),(528,1),(546,1),(757,1),(765,1),(818,1),(822,1),(1103,1),(1106,1)}
674:{1,2,6}:{(490,1),(511,1),(535,1),(797,1),(1161,1),(1466,1)}
675:{1,2,6}:{(491,1),(510,1),(534,1),(798,1),(1162,1),(1467,1)}
676:{1,2,7}:{(492,1),(512,1),(538,1),(811,1),(815,1)}
677:{1,2,7}:{(493,1),(513,1),(539,1),(812,1),(816,1)}
678:{2,3,7}:{(516,1),(531,1),(547,1),(761,1),(828,1),(829,1),(1455,1),(2184,1),(2251,1)}
679:{2,3,7}:{(517,1),(530,1),(546,1),(762,1),(827,1),(830,1),(1454,1),(2188,1),(2250,1)}
680:{2}:{(519,1)}
681:{2}:{(518,1)}
682:{4,7}:{(548,1),(550,1),(841,1)}
683:{4,6}:{(549,1),(556,1),(835,1),(836,1)}
684:{3,4}:{(549,1),(551,1),(840,1),(844,1),(849,1)}
685:{3,6}:{(551,1),(559,1),(838,1),(850,1)}
686:{3,5}:{(552,1),(560,1),(839,1)}
687:{5}:{(554,1)}
688:{2,6}:{(548,1),(553,1),(841,1)}
689:{2,4}:{(549,1),(553,1),(844,1),(1466,1),(1467,1)}
690:{3,4,6,7}:{(554,1),(555,1),(557,1),(836,1),(837,1),(843,1),(846,1),(854,1),(1187,1),(1190,1)}
691:{2,3,5,7}:{(550,1),(556,1),(557,1),(563,1),(836,1),(838,1),(841,1),(843,1),(855,1),(1190,1),(1191,1),(1193,1),(1194,1),(1196,1),(1578,1)}
692:{2,3}:{(552,1),(564,1)}
693:{3,5,7}:{(555,1),(558,1),(565,1),(761,1),(762,1),(840,1),(846,1),(1093,1),(1094,1),(1190,1)}
694:{4,5,7}:{(559,1),(563,1),(835,1),(836,1),(838,1),(1578,1)}
695:{1,4,6}:{(548,1),(560,1),(561,1),(719,1),(720,1),(839,1),(847,1),(852,1),(1033,1),(1034,1),(1192,1)}
696:{1,4,5}:{(549,1),(567,1),(717,1),(718,1),(763,1),(764,1),(835,1),(840,1),(848,1),(849,1),(1119,1),(1120,1),(1199,1),(1585,1)}
697:{1,5,7}:{(550,1),(561,1),(562,1),(723,1),(724,1),(847,1),(1578,1)}
698:{1}:{(551,1)}
699:{1,2,5}:{(553,1),(560,1),(564,1),(733,1),(734,1),(845,1),(852,1)}
700:{1,4,6}:{(554,1),(565,1),(568,1),(735,1),(736,1),(846,1),(851,1),(1161,1),(1162,1),(1187,1)}
701:{1,4,7}:{(555,1),(566,1),(569,1),(737,1),(738,1),(849,1),(856,1)}
702:{1,2,5,6}:{(556,1),(561,1),(567,1),(568,1),(741,1),(742,1),(848,1),(850,1),(851,1),(852,1),(855,1),(1199,1),(1204,1)}
703:{1,2,6,7}:{(557,1),(562,1),(568,1),(569,1),(743,1),(744,1),(850,1),(854,1),(855,1),(1204,1)}
704:{1,3,5,6}:{(558,1),(566,1),(747,1),(748,1),(807,1),(808,1),(833,1),(834,1),(846,1),(851,1),(856,1),(1093,1),(1094,1),(1161,1),(1162,1)}
705:{4,6,7}:{(570,1),(649,1),(650,1),(859,1),(875,1),(952,1),(953,1),(1215,1),(1227,1)}
706:{4,7}:{(579,1),(651,1),(862,1),(877,1)}
707:{4,6}:{(571,1),(648,1),(861,1),(871,1)}
708:{1,4}:{(576,1),(594,1),(865,1)}
709:{3,4}:{(577,1),(633,1),(879,1),(896,1)}
710:{1,3,4}:{(573,1),(595,1),(633,1),(868,1),(896,1),(946,1),(1268,1)}
711:{4,6}:{(581,1),(649,1),(857,1),(876,1)}
712:{4,7}:{(575,1),(650,1),(858,1),(872,1)}
713:{4,6,7}:{(578,1),(648,1),(651,1),(860,1),(870,1),(951,1),(954,1),(1212,1),(1219,1)}
714:{1,3,4}:{(572,1),(594,1),(632,1),(864,1),(895,1),(945,1),(1267,1)}
715:{1,4}:{(580,1),(595,1),(867,1)}
716:{3,4}:{(574,1),(632,1),(878,1),(895,1)}
717:{4,5}:{(585,1),(605,1),(883,1),(890,1)}
718:{4,5}:{(584,1),(604,1),(884,1),(889,1)}
719:{4,6}:{(582,1),(587,1),(885,1),(893,1),(901,1)}
720:{4,6}:{(583,1),(586,1),(886,1),(894,1),(902,1)}
721:{4,6}:{(585,1),(616,1),(881,1),(887,1),(1248,1),(1380,1),(1652,1)}
722:{4,6}:{(584,1),(617,1),(882,1),(888,1),(1247,1),(1380,1),(1653,1)}
723:{5,7}:{(586,1),(588,1),(886,1)}
724:{5,7}:{(587,1),(589,1),(885,1)}
725:{3,4,7}:{(591,1),(593,1),(682,1),(886,1),(888,1),(914,1),(943,1),(1008,1),(1251,1),(1262,1),(1384,1),(1988,1)}
726:{3,4,7}:{(590,1),(592,1),(682,1),(885,1),(887,1),(913,1),(944,1),(1008,1),(1252,1),(1261,1),(1384,1),(1987,1)}
727:{3,4}:{(584,1),(619,1),(889,1),(896,1),(946,1)}
728:{3,4}:{(585,1),(618,1),(890,1),(895,1),(945,1)}
729:{3,5}:{(583,1),(595,1),(867,1),(894,1)}
730:{3,5}:{(582,1),(594,1),(865,1),(893,1)}
731:{5}:{(600,1)}
732:{5}:{(601,1)}
733:{2,5}:{(582,1),(603,1),(901,1)}
734:{2,5}:{(583,1),(602,1),(902,1)}
735:{4,6}:{(598,1),(607,1),(900,1),(915,1)}
736:{4,6}:{(599,1),(606,1),(899,1),(916,1)}
737:{4,7}:{(597,1),(609,1),(918,1)}
738:{4,7}:{(596,1),(608,1),(917,1)}
739:{2,4}:{(584,1),(610,1),(1012,1),(1380,1),(1653,1)}
740:{2,4}:{(585,1),(611,1),(1012,1),(1380,1),(1652,1)}
741:{2,5,6}:{(586,1),(604,1),(607,1),(884,1),(900,1),(902,1),(910,1)}
742:{2,5,6}:{(587,1),(605,1),(606,1),(883,1),(899,1),(901,1),(909,1)}
743:{2,6,7}:{(589,1),(606,1),(608,1),(905,1),(909,1)}
744:{2,6,7}:{(588,1),(607,1),(609,1),(906,1),(910,1)}
745:{2,3,6}:{(591,1),(610,1),(688,1),(902,1),(908,1),(914,1),(973,1)}
746:{2,3,6}:{(590,1),(611,1),(688,1),(901,1),(907,1),(913,1),(974,1)}
747:{3,5,6}:{(596,1),(612,1),(899,1),(916,1),(917,1),(925,1),(978,1)}
748:{3,5,6}:{(597,1),(613,1),(900,1),(915,1),(918,1),(926,1),(977,1)}
749:{3,5,7}:{(599,1),(612,1),(615,1),(890,1),(916,1),(979,1),(1252,1),(1307,1)}
750:{3,5,7}:{(598,1),(613,1),(614,1),(889,1),(915,1),(980,1),(1251,1),(1308,1)}
751:{3,4,6,7}:{(601,1),(614,1),(621,1),(888,1),(891,1),(906,1),(912,1),(915,1),(930,1),(982,1),(1245,1),(1247,1),(1251,1),(1262,1),(1264,1),(1292,1),(1316,1),(1642,1),(1663,1),(1665,1),(1667,1),(2057,1),(2062,1)}
752:{3,4,6,7}:{(600,1),(615,1),(620,1),(887,1),(892,1),(905,1),(911,1),(916,1),(929,1),(981,1),(1246,1),(1248,1),(1252,1),(1261,1),(1263,1),(1291,1),(1315,1),(1643,1),(1662,1),(1664,1),(1666,1),(2058,1),(2061,1)}
753:{2,3,5,7}:{(592,1),(616,1),(620,1),(653,1),(887,1),(909,1),(911,1),(913,1),(983,1),(1252,1),(1261,1),(1271,1),(1687,1)}
754:{2,3,5,7}:{(593,1),(617,1),(621,1),(652,1),(888,1),(910,1),(912,1),(914,1),(984,1),(1251,1),(1262,1),(1272,1),(1686,1)}
755:{2,3,6}:{(618,1),(654,1),(685,1),(892,1),(922,1),(985,1),(1681,1),(2061,1)}
756:{2,3,6}:{(619,1),(655,1),(685,1),(891,1),(921,1),(986,1),(1680,1),(2062,1)}
757:{3,5}:{(623,1),(657,1),(898,1),(926,1)}
758:{3,5}:{(622,1),(656,1),(897,1),(925,1)}
759:{2,3,4}:{(594,1),(603,1),(692,1),(874,1),(924,1),(1012,1),(1300,1)}
760:{2,3,4}:{(595,1),(602,1),(692,1),(869,1),(923,1),(1012,1),(1299,1)}
761:{3,7}:{(622,1),(659,1),(895,1),(929,1)}
762:{3,7}:{(623,1),(658,1),(896,1),(930,1)}
763:{1,4}:{(584,1),(671,1),(896,1)}
764:{1,4}:{(585,1),(670,1),(895,1)}
765:{4}:{(673,1)}
766:{4}:{(672,1)}
767:{1,5,6}:{(587,1),(625,1),(627,1),(939,1),(942,1),(950,1),(2026,1)}
768:{1,5,6}:{(586,1),(624,1),(626,1),(940,1),(941,1),(949,1),(2027,1)}
769:{1,6,7}:{(589,1),(627,1),(629,1),(939,1),(947,1)}
770:{1,6,7}:{(588,1),(626,1),(628,1),(940,1),(948,1)}
771:{1,4,6}:{(591,1),(630,1),(635,1),(943,1),(955,1),(973,1),(1321,1)}
772:{1,4,6}:{(590,1),(631,1),(634,1),(944,1),(956,1),(974,1),(1322,1)}
773:{1,4,5}:{(583,1),(624,1),(633,1),(863,1),(868,1),(941,1),(975,1)}
774:{1,4,5}:{(582,1),(625,1),(632,1),(864,1),(866,1),(942,1),(976,1)}
775:{1,5,7}:{(593,1),(635,1),(642,1),(943,1),(2027,1)}
776:{1,5,7}:{(592,1),(634,1),(643,1),(944,1),(2026,1)}
777:{3,6}:{(626,1),(639,1),(953,1)}
778:{3,6}:{(627,1),(638,1),(954,1)}
779:{3,7}:{(628,1),(637,1),(952,1)}
780:{3,7}:{(629,1),(636,1),(951,1)}
781:{3,5}:{(625,1),(646,1),(861,1),(1306,1)}
782:{3,5}:{(624,1),(647,1),(857,1),(1305,1)}
783:{4,6}:{(636,1),(641,1),(951,1),(957,1),(994,1)}
784:{4,6}:{(637,1),(640,1),(952,1),(958,1),(993,1)}
785:{1,3,5}:{(631,1),(644,1),(686,1),(867,1),(895,1),(956,1),(1255,1),(1784,1)}
786:{1,3,5}:{(630,1),(645,1),(686,1),(865,1),(896,1),(955,1),(1256,1),(1784,1)}
787:{4,5,7}:{(638,1),(641,1),(648,1),(860,1),(861,1),(937,1),(951,1),(954,1),(998,1),(1219,1),(1306,1),(1307,1),(1614,1)}
788:{4,5,7}:{(639,1),(640,1),(649,1),(857,1),(859,1),(938,1),(952,1),(953,1),(997,1),(1227,1),(1305,1),(1308,1),(1606,1)}
789:{5}:{(651,1)}
790:{5}:{(650,1)}
791:{2,4,5,7}:{(653,1),(654,1),(694,1),(881,1),(887,1),(922,1),(1010,1),(1011,1),(1271,1),(1380,1),(1607,1),(1624,1),(1709,1)}
792:{2,4,5,7}:{(652,1),(655,1),(694,1),(882,1),(888,1),(921,1),(1010,1),(1011,1),(1272,1),(1380,1),(1613,1),(1616,1),(1708,1)}
793:{1,4,6}:{(597,1),(657,1),(661,1),(926,1),(935,1),(963,1),(977,1)}
794:{1,4,6}:{(596,1),(656,1),(660,1),(925,1),(936,1),(964,1),(978,1)}
795:{1,4,5,7}:{(599,1),(656,1),(659,1),(662,1),(927,1),(932,1),(937,1),(959,1),(962,1),(964,1),(979,1),(1248,1),(1306,1),(1307,1),(1314,1),(1331,1),(1334,1),(1640,1),(1643,1),(1709,1),(1723,1),(2101,1),(2121,1)}
796:{1,4,5,7}:{(598,1),(657,1),(658,1),(663,1),(928,1),(931,1),(938,1),(960,1),(961,1),(963,1),(980,1),(1247,1),(1305,1),(1308,1),(1313,1),(1332,1),(1333,1),(1641,1),(1642,1),(1708,1),(1722,1),(2102,1),(2122,1)}
797:{1,4,6}:{(601,1),(658,1),(674,1),(930,1),(960,1),(1247,1)}
798:{1,4,6}:{(600,1),(659,1),(675,1),(929,1),(959,1),(1248,1)}
799:{1,2,5}:{(605,1),(625,1),(666,1),(932,1),(959,1),(991,1),(1306,1),(1605,1),(1629,1)}
800:{1,2,5}:{(604,1),(624,1),(667,1),(931,1),(960,1),(992,1),(1305,1),(1612,1),(1639,1)}
801:{1,2,6}:{(606,1),(627,1),(662,1),(962,1),(987,1),(1672,1),(2017,1)}
802:{1,2,6}:{(607,1),(626,1),(663,1),(961,1),(988,1),(1673,1),(2007,1)}
803:{1,2,7}:{(609,1),(628,1),(661,1),(963,1),(989,1)}
804:{1,2,7}:{(608,1),(629,1),(660,1),(964,1),(990,1)}
805:{1,2,5}:{(611,1),(631,1),(664,1),(965,1),(974,1),(1025,1)}
806:{1,2,5}:{(610,1),(630,1),(665,1),(966,1),(973,1),(1025,1)}
807:{1,5}:{(612,1),(669,1)}
808:{1,5}:{(613,1),(668,1)}
809:{1,2,4}:{(602,1),(633,1),(665,1),(879,1),(975,1),(1221,1)}
810:{1,2,4}:{(603,1),(632,1),(664,1),(878,1),(976,1),(1223,1)}
811:{1,4,7}:{(614,1),(668,1),(676,1),(946,1),(980,1),(1003,1)}
812:{1,4,7}:{(615,1),(669,1),(677,1),(945,1),(979,1),(1004,1)}
813:{1,2,5,6}:{(616,1),(634,1),(670,1),(675,1),(933,1),(959,1),(974,1),(983,1),(985,1),(1320,1),(1322,1),(1338,1),(1351,1),(1394,1),(1746,1)}
814:{1,2,5,6}:{(617,1),(635,1),(671,1),(674,1),(934,1),(960,1),(973,1),(984,1),(986,1),(1319,1),(1321,1),(1337,1),(1352,1),(1394,1),(1747,1)}
815:{1,2}:{(619,1),(698,1),(946,1)}
816:{1,2}:{(618,1),(698,1),(945,1)}
817:{2,3,6}:{(636,1),(660,1),(672,1),(925,1),(936,1),(990,1),(994,1)}
818:{2,3,6}:{(637,1),(661,1),(673,1),(926,1),(935,1),(989,1),(993,1)}
819:{2,3,5,7}:{(639,1),(663,1),(673,1),(679,1),(928,1),(938,1),(988,1),(989,1),(992,1),(997,1),(1302,1),(1305,1),(1308,1),(1686,1)}
820:{2,3,5,7}:{(638,1),(662,1),(672,1),(678,1),(927,1),(937,1),(987,1),(990,1),(991,1),(998,1),(1301,1),(1306,1),(1307,1),(1687,1)}
821:{2,5}:{(641,1),(681,1),(968,1),(994,1)}
822:{2,5}:{(640,1),(680,1),(967,1),(993,1)}
823:{1,2,6,7}:{(620,1),(643,1),(675,1),(677,1),(981,1),(983,1),(985,1),(1746,1),(1748,1),(1769,1),(2034,1)}
824:{1,2,6,7}:{(621,1),(642,1),(674,1),(676,1),(982,1),(984,1),(986,1),(1747,1),(1749,1),(1768,1),(2037,1)}
825:{1,2,3}:{(644,1),(664,1),(692,1),(869,1),(1025,1),(1681,1)}
826:{1,2,3}:{(645,1),(665,1),(692,1),(874,1),(1025,1),(1680,1)}
827:{2,3,6}:{(647,1),(667,1),(679,1),(876,1),(879,1),(896,1),(930,1),(992,1),(1259,1)}
828:{2,3,6}:{(646,1),(666,1),(678,1),(871,1),(878,1),(895,1),(929,1),(991,1),(1260,1)}
829:{2,7}:{(648,1),(681,1),(871,1)}
830:{2,7}:{(649,1),(680,1),(876,1)}
831:{2,6}:{(651,1),(681,1),(877,1),(1000,1)}
832:{2,6}:{(650,1),(680,1),(872,1),(999,1)}
833:{1,3,6}:{(622,1),(669,1),(925,1),(929,1),(1001,1),(1004,1)}
834:{1,3,6}:{(623,1),(668,1),(926,1),(930,1),(1002,1),(1003,1)}
835:{4,5}:{(683,1),(687,1),(1006,1),(1010,1),(1380,1),(1382,1)}
836:{4,7}:{(683,1),(691,1),(1380,1)}
837:{3,4,6}:{(683,1),(684,1),(685,1),(1006,1),(1007,1),(1009,1),(1013,1),(1019,1),(1380,1),(1784,1)}
838:{3,5,7}:{(685,1),(694,1),(1006,1),(1007,1),(1020,1)}
839:{3,6}:{(686,1),(695,1),(1008,1)}
840:{3,5}:{(684,1),(696,1),(895,1),(896,1),(1009,1),(1784,1)}
841:{2,7}:{(682,1),(688,1)}
842:{2,4,6}:{(683,1),(688,1),(689,1),(1010,1),(1011,1),(1013,1),(1380,1),(1383,1)}
843:{3,5,7}:{(687,1),(690,1),(1005,1),(1006,1),(1014,1),(1024,1)}
844:{2,3}:{(684,1),(689,1),(1025,1)}
845:{2,3,5}:{(686,1),(692,1),(699,1),(1012,1),(1015,1),(1382,1)}
846:{3,6}:{(693,1),(700,1)}
847:{1,4,7}:{(682,1),(695,1),(697,1),(885,1),(886,1),(1008,1),(1022,1),(1208,1),(1213,1),(1384,1)}
848:{1,4,6}:{(683,1),(696,1),(702,1),(883,1),(884,1),(1009,1),(1018,1),(1321,1),(1322,1)}
849:{1,4}:{(684,1),(698,1),(1021,1),(1025,1)}
850:{1,6}:{(685,1),(698,1),(1020,1)}
851:{1,5,6}:{(687,1),(700,1),(899,1),(900,1),(959,1),(960,1),(1014,1),(1024,1)}
852:{1,2,6}:{(688,1),(695,1),(699,1),(901,1),(902,1),(1015,1),(1022,1)}
853:{1,2,4,5}:{(689,1),(696,1),(699,1),(903,1),(904,1),(965,1),(966,1),(1010,1),(1012,1),(1016,1),(1023,1),(1025,1),(1226,1),(1228,1),(1337,1),(1338,1),(1355,1),(1356,1),(1380,1),(1382,1),(1394,1),(1396,1),(1652,1),(1653,1),(1720,1),(1721,1),(1776,1),(1785,1),(2083,1),(2084,1),(2145,1),(2146,1),(2169,1),(2509,1)}
854:{1,4,6,7}:{(690,1),(700,1),(701,1),(703,1),(905,1),(906,1),(1018,1),(1019,1),(1024,1),(1026,1)}
855:{1,2,5,7}:{(691,1),(697,1),(702,1),(703,1),(909,1),(910,1),(1018,1),(1020,1),(1022,1),(1024,1),(1394,1),(1395,1)}
856:{1,3,5,7}:{(693,1),(701,1),(704,1),(917,1),(918,1),(979,1),(980,1),(1003,1),(1004,1),(1021,1),(1024,1),(1026,1)}
857:{4,5}:{(711,1),(782,1),(1047,1),(1118,1)}
858:{5,7}:{(712,1),(790,1),(1031,1)}
859:{5,7}:{(705,1),(790,1),(1030,1)}
860:{5,7}:{(713,1),(789,1),(1035,1)}
861:{4,5}:{(707,1),(781,1),(1045,1),(1117,1)}
862:{5,7}:{(706,1),(789,1),(1032,1)}
863:{3,4,5}:{(709,1),(773,1),(782,1),(1028,1),(1050,1),(1066,1),(1118,1),(1503,1)}
864:{1,3,5}:{(714,1),(730,1),(774,1),(1027,1),(1065,1),(1119,1)}
865:{1,5}:{(708,1),(730,1),(1033,1)}
866:{3,4,5}:{(716,1),(774,1),(781,1),(1038,1),(1049,1),(1065,1),(1117,1),(1502,1)}
867:{1,5}:{(715,1),(729,1),(1034,1)}
868:{1,3,5}:{(710,1),(729,1),(773,1),(1037,1),(1066,1),(1120,1)}
869:{1,2,4}:{(715,1),(760,1),(825,1),(1044,1),(1148,1),(1882,1)}
870:{2,6,7}:{(713,1),(829,1),(831,1),(1039,1),(1174,1),(1176,1)}
871:{2,6}:{(707,1),(829,1),(1045,1)}
872:{2,7}:{(712,1),(832,1)}
873:{1,2,3,4}:{(714,1),(759,1),(810,1),(825,1),(1041,1),(1101,1),(1148,1),(1165,1),(1406,1),(1571,1)}
874:{1,2,4}:{(708,1),(759,1),(826,1),(1042,1),(1147,1),(1883,1)}
875:{2,6,7}:{(705,1),(830,1),(832,1),(1043,1),(1173,1),(1175,1)}
876:{2,6}:{(711,1),(830,1),(1047,1)}
877:{2,7}:{(706,1),(831,1)}
878:{2,3}:{(716,1),(810,1)}
879:{2,3}:{(709,1),(809,1)}
880:{1,2,3,4}:{(710,1),(760,1),(809,1),(826,1),(1046,1),(1102,1),(1147,1),(1166,1),(1402,1),(1570,1)}
881:{4,5}:{(721,1),(731,1),(1057,1),(1076,1),(2236,1)}
882:{4,5}:{(722,1),(732,1),(1058,1),(1075,1),(2237,1)}
883:{4,6}:{(717,1),(742,1),(1054,1),(1059,1)}
884:{4,6}:{(718,1),(741,1),(1053,1),(1060,1)}
885:{4,7}:{(719,1),(724,1),(1064,1),(1078,1)}
886:{4,7}:{(720,1),(723,1),(1063,1),(1077,1)}
887:{4,7}:{(721,1),(753,1),(1841,1)}
888:{4,7}:{(722,1),(754,1),(1840,1)}
889:{3,5}:{(718,1),(727,1),(1060,1),(1120,1)}
890:{3,5}:{(717,1),(728,1),(1059,1),(1119,1)}
891:{3,4,6}:{(722,1),(727,1),(756,1),(1058,1),(1060,1),(1061,1),(1067,1),(1124,1),(1442,1)}
892:{3,4,6}:{(721,1),(728,1),(755,1),(1057,1),(1059,1),(1062,1),(1068,1),(1123,1),(1443,1)}
893:{3,6}:{(719,1),(730,1),(1033,1),(1064,1)}
894:{3,6}:{(720,1),(729,1),(1034,1),(1063,1)}
895:{3}:{(764,1)}
896:{3}:{(763,1)}
897:{3,4}:{(758,1),(766,1),(1104,1),(1136,1)}
898:{3,4}:{(757,1),(765,1),(1103,1),(1135,1)}
899:{5,6}:{(731,1),(736,1),(1073,1)}
900:{5,6}:{(732,1),(735,1),(1074,1)}
901:{2,6}:{(719,1),(733,1),(1078,1)}
902:{2,6}:{(720,1),(734,1),(1077,1)}
903:{2,4,5}:{(717,1),(733,1),(740,1),(1076,1),(1080,1),(1084,1),(1088,1),(1445,1),(2651,1),(2842,1)}
904:{2,4,5}:{(718,1),(734,1),(739,1),(1075,1),(1079,1),(1083,1),(1087,1),(1444,1),(2650,1),(2835,1)}
905:{4,6,7}:{(736,1),(738,1),(743,1),(1054,1),(1073,1),(1089,1)}
906:{4,6,7}:{(735,1),(737,1),(744,1),(1053,1),(1074,1),(1090,1)}
907:{2,4,6}:{(721,1),(740,1),(746,1),(1076,1),(1081,1),(1192,1),(1465,1),(1467,1)}
908:{2,4,6}:{(722,1),(739,1),(745,1),(1075,1),(1082,1),(1192,1),(1464,1),(1466,1)}
909:{2,5,7}:{(724,1),(742,1),(743,1),(1054,1),(1073,1),(1078,1)}
910:{2,5,7}:{(723,1),(741,1),(744,1),(1053,1),(1074,1),(1077,1)}
911:{3,5,7}:{(731,1),(752,1),(1055,1),(1057,1),(1073,1),(1085,1),(1094,1),(1153,1),(1447,1),(1497,1),(2236,1)}
912:{3,5,7}:{(732,1),(751,1),(1056,1),(1058,1),(1074,1),(1086,1),(1093,1),(1154,1),(1446,1),(1496,1),(2237,1)}
913:{2,3,7}:{(726,1),(746,1),(841,1),(1078,1),(1081,1),(1160,1),(2184,1)}
914:{2,3,7}:{(725,1),(745,1),(841,1),(1077,1),(1082,1),(1159,1),(2188,1)}
915:{3,6}:{(735,1),(750,1),(1161,1),(1499,1)}
916:{3,6}:{(736,1),(749,1),(1162,1),(1498,1)}
917:{3,5,7}:{(738,1),(747,1),(1073,1),(1089,1),(1100,1),(1163,1)}
918:{3,5,7}:{(737,1),(748,1),(1074,1),(1090,1),(1099,1),(1164,1)}
919:{2,3,4}:{(727,1),(739,1),(844,1),(1087,1),(1102,1),(1166,1),(1195,1),(1882,1),(2338,1),(2650,1)}
920:{2,3,4}:{(728,1),(740,1),(844,1),(1088,1),(1101,1),(1165,1),(1195,1),(1883,1),(2339,1),(2651,1)}
921:{2,3,5,7}:{(756,1),(792,1),(838,1),(1058,1),(1061,1),(1167,1),(1193,1),(1194,1),(1795,1),(1812,1),(1863,1)}
922:{2,3,5,7}:{(755,1),(791,1),(838,1),(1057,1),(1062,1),(1168,1),(1193,1),(1194,1),(1800,1),(1805,1),(1862,1)}
923:{2,3,5}:{(729,1),(734,1),(760,1),(1044,1),(1083,1),(1095,1),(1409,1)}
924:{2,3,5}:{(730,1),(733,1),(759,1),(1042,1),(1084,1),(1096,1),(1399,1)}
925:{3,6}:{(758,1),(794,1),(1100,1)}
926:{3,6}:{(757,1),(793,1),(1099,1)}
927:{3,5,7}:{(758,1),(761,1),(795,1),(1065,1),(1072,1),(1094,1),(1097,1),(1100,1),(1447,1),(1455,1),(2251,1)}
928:{3,5,7}:{(757,1),(762,1),(796,1),(1066,1),(1071,1),(1093,1),(1098,1),(1099,1),(1446,1),(1454,1),(2250,1)}
929:{3,6}:{(761,1),(798,1),(1094,1)}
930:{3,6}:{(762,1),(797,1),(1093,1)}
931:{1,4,5}:{(718,1),(763,1),(800,1),(1066,1),(1110,1),(1118,1),(1120,1),(1503,1),(1529,1),(1916,1)}
932:{1,4,5}:{(717,1),(764,1),(799,1),(1065,1),(1109,1),(1117,1),(1119,1),(1502,1),(1528,1),(1917,1)}
933:{1,4,6}:{(721,1),(764,1),(813,1),(1068,1),(1108,1),(1112,1),(1585,1)}
934:{1,4,6}:{(722,1),(763,1),(814,1),(1067,1),(1107,1),(1111,1),(1585,1)}
935:{4,6}:{(765,1),(818,1),(1106,1),(1116,1),(1499,1)}
936:{4,6}:{(766,1),(817,1),(1105,1),(1115,1),(1498,1)}
937:{4,7}:{(766,1),(820,1),(1113,1),(1117,1),(1841,1)}
938:{4,7}:{(765,1),(819,1),(1114,1),(1118,1),(1840,1)}
939:{1,5,7}:{(724,1),(767,1),(769,1),(1122,1),(1126,1)}
940:{1,5,7}:{(723,1),(768,1),(770,1),(1121,1),(1125,1)}
941:{1,4,6}:{(720,1),(768,1),(773,1),(1028,1),(1037,1),(1121,1),(1157,1),(2215,1)}
942:{1,4,6}:{(719,1),(767,1),(774,1),(1027,1),(1038,1),(1122,1),(1158,1),(2208,1)}
943:{1,4,7}:{(725,1),(771,1),(775,1),(1131,1),(1159,1),(1513,1),(2215,1)}
944:{1,4,7}:{(726,1),(772,1),(776,1),(1132,1),(1160,1),(1512,1),(2208,1)}
945:{1,4}:{(728,1),(816,1),(1119,1),(1133,1)}
946:{1,4}:{(727,1),(815,1),(1120,1),(1134,1)}
947:{3,6,7}:{(769,1),(778,1),(780,1),(1126,1),(1128,1)}
948:{3,6,7}:{(770,1),(777,1),(779,1),(1125,1),(1127,1)}
949:{3,5,6}:{(768,1),(777,1),(782,1),(1028,1),(1029,1),(1125,1),(1793,1)}
950:{3,5,6}:{(767,1),(778,1),(781,1),(1036,1),(1038,1),(1126,1),(1797,1)}
951:{4,7}:{(780,1),(783,1),(1130,1),(1174,1)}
952:{4,7}:{(779,1),(784,1),(1129,1),(1173,1)}
953:{4,6}:{(777,1),(788,1),(1030,1),(1175,1),(1499,1)}
954:{4,6}:{(778,1),(787,1),(1035,1),(1176,1),(1498,1)}
955:{1,3,6}:{(771,1),(786,1),(839,1),(1033,1),(1067,1),(1131,1)}
956:{1,3,6}:{(772,1),(785,1),(839,1),(1034,1),(1068,1),(1132,1)}
957:{5,6}:{(783,1),(789,1),(1032,1),(1105,1),(1130,1),(1498,1)}
958:{5,6}:{(784,1),(790,1),(1031,1),(1106,1),(1129,1),(1499,1)}
959:{1,5}:{(731,1),(798,1),(1094,1)}
960:{1,5}:{(732,1),(797,1),(1093,1)}
961:{1,4,6}:{(735,1),(796,1),(802,1),(1098,1),(1114,1),(1138,1),(1161,1),(1436,1),(1499,1),(1898,1),(2289,1)}
962:{1,4,6}:{(736,1),(795,1),(801,1),(1097,1),(1113,1),(1137,1),(1162,1),(1437,1),(1498,1),(1899,1),(2288,1)}
963:{1,4,7}:{(737,1),(793,1),(803,1),(1099,1),(1116,1),(1164,1)}
964:{1,4,7}:{(738,1),(794,1),(804,1),(1100,1),(1115,1),(1163,1)}
965:{1,2,4}:{(740,1),(764,1),(805,1),(1101,1),(1148,1),(1585,1)}
966:{1,2,4}:{(739,1),(763,1),(806,1),(1102,1),(1147,1),(1585,1)}
967:{2,4}:{(765,1),(822,1),(1103,1),(1151,1)}
968:{2,4}:{(766,1),(821,1),(1104,1),(1152,1)}
969:{1,2,5,6}:{(741,1),(768,1),(800,1),(802,1),(1110,1),(1138,1),(1155,1),(1157,1),(1172,1),(1827,1),(1916,1),(1952,1),(2289,1)}
970:{1,2,5,6}:{(742,1),(767,1),(799,1),(801,1),(1109,1),(1137,1),(1156,1),(1158,1),(1171,1),(1833,1),(1917,1),(1953,1),(2288,1)}
971:{1,2,6,7}:{(743,1),(769,1),(801,1),(804,1),(1140,1),(1156,1),(1169,1),(1872,1),(2288,1)}
972:{1,2,6,7}:{(744,1),(770,1),(802,1),(803,1),(1139,1),(1155,1),(1170,1),(1873,1),(2289,1)}
973:{1,2,6}:{(745,1),(771,1),(806,1),(1159,1)}
974:{1,2,6}:{(746,1),(772,1),(805,1),(1160,1)}
975:{1,2,5}:{(734,1),(773,1),(809,1),(1050,1),(1157,1)}
976:{1,2,5}:{(733,1),(774,1),(810,1),(1049,1),(1158,1)}
977:{1,5,6}:{(748,1),(793,1),(808,1),(1106,1),(1161,1),(1164,1),(1499,1)}
978:{1,5,6}:{(747,1),(794,1),(807,1),(1105,1),(1162,1),(1163,1),(1498,1)}
979:{1,5,7}:{(749,1),(807,1),(812,1),(1119,1),(1162,1),(1512,1)}
980:{1,5,7}:{(750,1),(808,1),(811,1),(1120,1),(1161,1),(1513,1)}
981:{1,4,6,7}:{(752,1),(798,1),(812,1),(823,1),(1112,1),(1123,1),(1153,1),(1162,1),(1186,1),(1505,1),(1507,1),(1512,1),(1525,1),(1926,1),(2288,1)}
982:{1,4,6,7}:{(751,1),(797,1),(811,1),(824,1),(1111,1),(1124,1),(1154,1),(1161,1),(1185,1),(1504,1),(1506,1),(1513,1),(1524,1),(1927,1),(2289,1)}
983:{1,2,5,7}:{(753,1),(776,1),(813,1),(823,1),(1112,1),(1153,1),(1160,1),(1512,1),(1953,1)}
984:{1,2,5,7}:{(754,1),(775,1),(814,1),(824,1),(1111,1),(1154,1),(1159,1),(1513,1),(1952,1)}
985:{1,2,6}:{(755,1),(816,1),(850,1),(1123,1),(1168,1),(1947,1),(2288,1)}
986:{1,2,6}:{(756,1),(815,1),(850,1),(1124,1),(1167,1),(1946,1),(2289,1)}
987:{2,3,6}:{(778,1),(801,1),(820,1),(1097,1),(1113,1),(1176,1),(1498,1)}
988:{2,3,6}:{(777,1),(802,1),(819,1),(1098,1),(1114,1),(1175,1),(1499,1)}
989:{2,3,7}:{(779,1),(803,1),(818,1),(1099,1),(1116,1),(1173,1)}
990:{2,3,7}:{(780,1),(804,1),(817,1),(1100,1),(1115,1),(1174,1)}
991:{2,3,5}:{(781,1),(799,1),(828,1),(1045,1),(1065,1),(1094,1),(1117,1),(1404,1),(1467,1)}
992:{2,3,5}:{(782,1),(800,1),(827,1),(1047,1),(1066,1),(1093,1),(1118,1),(1407,1),(1466,1)}
993:{2,6}:{(784,1),(822,1),(1173,1)}
994:{2,6}:{(783,1),(821,1),(1174,1)}
995:{1,2,3,5}:{(785,1),(805,1),(825,1),(845,1),(1044,1),(1101,1),(1148,1),(1178,1),(1409,1),(1480,1),(1536,1)}
996:{1,2,3,5}:{(786,1),(806,1),(826,1),(845,1),(1042,1),(1102,1),(1147,1),(1177,1),(1399,1),(1481,1),(1537,1)}
997:{2,5,7}:{(788,1),(822,1),(830,1),(1047,1),(1150,1),(1173,1),(1175,1),(1530,1)}
998:{2,5,7}:{(787,1),(821,1),(829,1),(1045,1),(1149,1),(1174,1),(1176,1),(1531,1)}
999:{2,5}:{(790,1),(832,1),(1151,1)}
1000:{2,5}:{(789,1),(831,1),(1152,1)}
1001:{1,3,5}:{(758,1),(807,1),(833,1),(1094,1),(1136,1)}
1002:{1,3,5}:{(757,1),(808,1),(834,1),(1093,1),(1135,1)}
1003:{1,3,7}:{(762,1),(811,1),(834,1),(1099,1),(1134,1)}
1004:{1,3,7}:{(761,1),(812,1),(833,1),(1100,1),(1133,1)}
1005:{4,5,7}:{(835,1),(836,1),(843,1),(1187,1),(1191,1),(1578,1)}
1006:{3,5}:{(835,1),(837,1),(1199,1)}
1007:{3,4,7}:{(836,1),(837,1),(838,1),(1190,1),(1194,1),(1200,1)}
1008:{3,7}:{(839,1),(847,1)}
1009:{3,6}:{(840,1),(848,1),(1190,1)}
1010:{2,5}:{(835,1),(842,1)}
1011:{2,4,7}:{(836,1),(841,1),(842,1),(1191,1),(1194,1)}
1012:{4}:{(845,1)}
1013:{2,3,6}:{(837,1),(842,1),(844,1),(1193,1),(1194,1),(1204,1)}
1014:{3,5,6}:{(843,1),(846,1),(851,1),(1093,1),(1094,1),(1187,1)}
1015:{2,3,6}:{(839,1),(845,1),(852,1),(1192,1),(1196,1)}
1016:{2,3,5}:{(840,1),(844,1),(853,1),(1101,1),(1102,1),(1195,1),(1197,1),(1399,1),(1409,1),(1579,1),(1924,1),(1925,1),(2338,1),(2339,1)}
1017:{1,4,5,6}:{(835,1),(848,1),(851,1),(1051,1),(1052,1),(1107,1),(1108,1),(1187,1),(1189,1),(1198,1),(1199,1),(1202,1),(1504,1),(1505,1),(1510,1),(1511,1),(1576,1),(1584,1),(1585,1),(1908,1),(1909,1),(1976,1),(2236,1),(2237,1)}
1018:{1,4,7}:{(836,1),(848,1),(855,1),(1053,1),(1054,1),(1190,1),(1512,1),(1513,1),(1585,1)}
1019:{1,4,6}:{(837,1),(849,1),(850,1),(1199,1),(1200,1),(1201,1),(1204,1),(1585,1)}
1020:{1,5,7}:{(838,1),(850,1),(1199,1),(1200,1)}
1021:{1,3,5}:{(840,1),(849,1),(1119,1),(1120,1),(1133,1),(1134,1),(1199,1),(1201,1)}
1022:{1,2,7}:{(841,1),(847,1),(852,1),(1077,1),(1078,1),(1196,1)}
1023:{1,2,4,6}:{(842,1),(848,1),(852,1),(853,1),(1079,1),(1080,1),(1192,1),(1197,1),(1202,1),(1203,1),(1204,1),(1414,1),(1416,1),(1554,1),(1555,1),(1576,1),(1585,1),(1589,1),(1908,1),(1909,1),(2189,1),(2193,1)}
1024:{1,5,7}:{(843,1),(851,1),(854,1),(1073,1),(1074,1),(1199,1)}
1025:{1,2}:{(844,1),(849,1)}
1026:{1,3,6,7}:{(846,1),(854,1),(856,1),(1089,1),(1090,1),(1161,1),(1162,1),(1190,1),(1201,1),(1512,1),(1513,1)}
1027:{1,3,6}:{(864,1),(893,1),(942,1),(1217,1),(1260,1),(1322,1),(2394,1)}
1028:{3,4,6}:{(863,1),(941,1),(949,1),(1207,1),(1240,1),(1259,1),(1318,1),(1988,1)}
1029:{4,5,6}:{(857,1),(949,1),(953,1),(1211,1),(1242,1),(1305,1),(1318,1),(1606,1),(1706,1)}
1030:{5,6}:{(859,1),(953,1),(1305,1)}
1031:{6}:{(858,1)}
1032:{6}:{(862,1)}
1033:{1,6}:{(865,1),(893,1),(1213,1)}
1034:{1,6}:{(867,1),(894,1),(1208,1)}
1035:{5,6}:{(860,1),(954,1),(1306,1)}
1036:{4,5,6}:{(861,1),(950,1),(954,1),(1214,1),(1237,1),(1306,1),(1317,1),(1614,1),(1707,1)}
1037:{1,3,6}:{(868,1),(894,1),(941,1),(1210,1),(1259,1),(1321,1),(2387,1)}
1038:{3,4,6}:{(866,1),(942,1),(950,1),(1218,1),(1232,1),(1260,1),(1317,1),(1987,1)}
1039:{2,5,7}:{(860,1),(870,1),(1000,1),(1219,1),(1235,1)}
1040:{2,5,7}:{(862,1),(877,1),(1000,1),(1230,1),(1236,1),(1604,1)}
1041:{1,2,3,5}:{(864,1),(873,1),(924,1),(976,1),(1225,1),(1233,1),(1295,1),(1355,1),(1632,1)}
1042:{1,2,5}:{(865,1),(874,1),(924,1),(1228,1),(1239,1),(2083,1)}
1043:{2,5,7}:{(859,1),(875,1),(999,1),(1227,1),(1234,1)}
1044:{1,2,5}:{(867,1),(869,1),(923,1),(1226,1),(1241,1),(2084,1)}
1045:{2,5}:{(861,1),(871,1),(1229,1)}
1046:{1,2,3,5}:{(868,1),(880,1),(923,1),(975,1),(1220,1),(1238,1),(1296,1),(1356,1),(1638,1)}
1047:{2,5}:{(857,1),(876,1),(1224,1)}
1048:{2,5,7}:{(858,1),(872,1),(999,1),(1222,1),(1231,1),(1611,1)}
1049:{2,3,5}:{(866,1),(878,1),(976,1),(1223,1),(1232,1),(1605,1)}
1050:{2,3,5}:{(863,1),(879,1),(975,1),(1221,1),(1240,1),(1612,1)}
1051:{4,5,6}:{(882,1),(884,1),(900,1),(1244,1),(1245,1),(1249,1),(1269,1),(1650,1),(2748,1),(2891,1)}
1052:{4,5,6}:{(881,1),(883,1),(899,1),(1243,1),(1246,1),(1250,1),(1270,1),(1651,1),(2749,1),(2898,1)}
1053:{4,7}:{(884,1),(910,1),(1251,1)}
1054:{4,7}:{(883,1),(909,1),(1252,1)}
1055:{4,5,7}:{(881,1),(887,1),(911,1),(1246,1),(1248,1),(1271,1),(1640,1),(1643,1)}
1056:{4,5,7}:{(882,1),(888,1),(912,1),(1245,1),(1247,1),(1272,1),(1641,1),(1642,1)}
1057:{3,5}:{(881,1),(892,1),(1320,1)}
1058:{3,5}:{(882,1),(891,1),(1319,1)}
1059:{3,6}:{(883,1),(890,1),(1252,1),(1322,1)}
1060:{3,6}:{(884,1),(889,1),(1251,1),(1321,1)}
1061:{3,4,7}:{(888,1),(891,1),(921,1),(1251,1),(1262,1),(1323,1),(1380,1),(1784,1),(1993,1)}
1062:{3,4,7}:{(887,1),(892,1),(922,1),(1252,1),(1261,1),(1324,1),(1380,1),(1784,1),(1983,1)}
1063:{3,7}:{(886,1),(894,1),(1208,1)}
1064:{3,7}:{(885,1),(893,1),(1213,1)}
1065:{3,5}:{(895,1),(932,1),(1260,1),(1267,1)}
1066:{3,5}:{(896,1),(931,1),(1259,1),(1268,1)}
1067:{3,6}:{(896,1),(934,1),(1256,1),(1262,1),(1784,1)}
1068:{3,6}:{(895,1),(933,1),(1255,1),(1261,1),(1784,1)}
1069:{3,4,6}:{(897,1),(925,1),(936,1),(1257,1),(1266,1),(1297,1),(1329,1),(1644,1),(1660,1),(2047,1)}
1070:{3,4,6}:{(898,1),(926,1),(935,1),(1258,1),(1265,1),(1298,1),(1330,1),(1645,1),(1661,1),(2048,1)}
1071:{3,4,7}:{(898,1),(928,1),(938,1),(1247,1),(1264,1),(1268,1),(1302,1),(1332,1),(1642,1)}
1072:{3,4,7}:{(897,1),(927,1),(937,1),(1248,1),(1263,1),(1267,1),(1301,1),(1331,1),(1643,1)}
1073:{5,7}:{(899,1),(905,1)}
1074:{5,7}:{(900,1),(906,1)}
1075:{2,5}:{(882,1),(908,1),(1382,1)}
1076:{2,5}:{(881,1),(907,1),(1382,1)}
1077:{2,7}:{(886,1),(902,1)}
1078:{2,7}:{(885,1),(901,1)}
1079:{2,4,6}:{(884,1),(902,1),(904,1),(1269,1),(1274,1),(1275,1),(1281,1),(1650,1)}
1080:{2,4,6}:{(883,1),(901,1),(903,1),(1270,1),(1273,1),(1276,1),(1282,1),(1651,1)}
1081:{2,4,7}:{(887,1),(907,1),(913,1),(1271,1),(1384,1),(2069,1)}
1082:{2,4,7}:{(888,1),(908,1),(914,1),(1272,1),(1384,1),(2070,1)}
1083:{4,5}:{(923,1),(1012,1),(1275,1),(1382,1)}
1084:{4,5}:{(924,1),(1012,1),(1276,1),(1382,1)}
1085:{3,5,6}:{(899,1),(911,1),(916,1),(1246,1),(1351,1),(1662,1),(1707,1),(2061,1)}
1086:{3,5,6}:{(900,1),(912,1),(915,1),(1245,1),(1352,1),(1663,1),(1706,1),(2062,1)}
1087:{2,3,5}:{(889,1),(904,1),(919,1),(1281,1),(1285,1),(1356,1),(2084,1)}
1088:{2,3,5}:{(890,1),(903,1),(920,1),(1282,1),(1286,1),(1355,1),(2083,1)}
1089:{3,6,7}:{(905,1),(916,1),(917,1),(1252,1),(1357,1)}
1090:{3,6,7}:{(906,1),(915,1),(918,1),(1251,1),(1358,1)}
1091:{2,3,4,6}:{(892,1),(907,1),(920,1),(1013,1),(1279,1),(1282,1),(1284,1),(1294,1),(1360,1),(1380,1),(1386,1),(1651,1),(1652,1),(1678,1),(1681,1),(1780,1),(1784,1),(2058,1),(2127,1),(2129,1),(2171,1),(2474,1),(2509,1),(2724,1)}
1092:{2,3,4,6}:{(891,1),(908,1),(919,1),(1013,1),(1280,1),(1281,1),(1283,1),(1293,1),(1359,1),(1380,1),(1386,1),(1650,1),(1653,1),(1679,1),(1680,1),(1780,1),(1784,1),(2057,1),(2128,1),(2130,1),(2171,1),(2475,1),(2509,1),(2715,1)}
1093:{3,5}:{(930,1),(960,1),(1247,1)}
1094:{3,5}:{(929,1),(959,1),(1248,1)}
1095:{2,3,6}:{(894,1),(902,1),(923,1),(1241,1),(1275,1),(1290,1),(1601,1)}
1096:{2,3,6}:{(893,1),(901,1),(924,1),(1239,1),(1276,1),(1289,1),(1599,1)}
1097:{3,6}:{(927,1),(962,1)}
1098:{3,6}:{(928,1),(961,1)}
1099:{3,7}:{(926,1),(963,1)}
1100:{3,7}:{(925,1),(964,1)}
1101:{2,3}:{(895,1),(965,1),(1299,1),(1784,1)}
1102:{2,3}:{(896,1),(966,1),(1300,1),(1784,1)}
1103:{2,3}:{(898,1),(967,1),(1303,1),(1377,1)}
1104:{2,3}:{(897,1),(968,1),(1304,1),(1378,1)}
1105:{5}:{(936,1)}
1106:{5}:{(935,1)}
1107:{1,4,5}:{(882,1),(934,1),(960,1),(1247,1),(1256,1),(1319,1),(1337,1),(1653,1),(1718,1)}
1108:{1,4,5}:{(881,1),(933,1),(959,1),(1248,1),(1255,1),(1320,1),(1338,1),(1652,1),(1719,1)}
1109:{1,4,6}:{(883,1),(932,1),(970,1),(1260,1),(1314,1),(1317,1),(1322,1),(2101,1)}
1110:{1,4,6}:{(884,1),(931,1),(969,1),(1259,1),(1313,1),(1318,1),(1321,1),(2102,1)}
1111:{1,4,7}:{(888,1),(934,1),(984,1),(1262,1),(2102,1)}
1112:{1,4,7}:{(887,1),(933,1),(983,1),(1261,1),(2101,1)}
1113:{4,6}:{(937,1),(987,1),(1306,1)}
1114:{4,6}:{(938,1),(988,1),(1305,1)}
1115:{4,7}:{(936,1),(990,1),(1307,1)}
1116:{4,7}:{(935,1),(989,1),(1308,1)}
1117:{4}:{(991,1)}
1118:{4}:{(992,1)}
1119:{1,5}:{(890,1),(945,1),(1322,1)}
1120:{1,5}:{(889,1),(946,1),(1321,1)}
1121:{1,4,7}:{(886,1),(940,1),(941,1),(1207,1),(1210,1),(1354,1)}
1122:{1,4,7}:{(885,1),(939,1),(942,1),(1217,1),(1218,1),(1353,1)}
1123:{1,4,6}:{(892,1),(945,1),(985,1),(1320,1),(1322,1),(1324,1),(1328,1),(1719,1)}
1124:{1,4,6}:{(891,1),(946,1),(986,1),(1319,1),(1321,1),(1323,1),(1327,1),(1718,1)}
1125:{3,5,7}:{(940,1),(948,1),(949,1),(1207,1),(1211,1)}
1126:{3,5,7}:{(939,1),(947,1),(950,1),(1214,1),(1218,1)}
1127:{4,6,7}:{(948,1),(952,1),(953,1),(1211,1),(1216,1),(1365,1)}
1128:{4,6,7}:{(947,1),(951,1),(954,1),(1209,1),(1214,1),(1366,1)}
1129:{5,7}:{(952,1),(958,1),(1215,1)}
1130:{5,7}:{(951,1),(957,1),(1212,1)}
1131:{1,3,7}:{(943,1),(955,1),(1008,1),(1213,1),(1262,1),(2387,1)}
1132:{1,3,7}:{(944,1),(956,1),(1008,1),(1208,1),(1261,1),(2394,1)}
1133:{1,3}:{(895,1),(945,1)}
1134:{1,3}:{(896,1),(946,1)}
1135:{1,4}:{(898,1),(1002,1),(1247,1),(1377,1)}
1136:{1,4}:{(897,1),(1001,1),(1248,1),(1378,1)}
1137:{1,5,6}:{(899,1),(959,1),(962,1),(1287,1),(1306,1),(1334,1),(1707,1),(1723,1)}
1138:{1,5,6}:{(900,1),(960,1),(961,1),(1288,1),(1305,1),(1333,1),(1706,1),(1722,1)}
1139:{1,4,6,7}:{(906,1),(961,1),(963,1),(972,1),(1292,1),(1313,1),(1316,1),(1333,1),(1358,1),(1642,1)}
1140:{1,4,6,7}:{(905,1),(962,1),(964,1),(971,1),(1291,1),(1314,1),(1315,1),(1334,1),(1357,1),(1643,1)}
1141:{1,2,4,6}:{(908,1),(934,1),(966,1),(973,1),(1293,1),(1337,1),(1341,1),(1348,1),(1653,1),(1747,1),(2057,1)}
1142:{1,2,4,6}:{(907,1),(933,1),(965,1),(974,1),(1294,1),(1338,1),(1342,1),(1347,1),(1652,1),(1746,1),(2058,1)}
1143:{1,2,4,5}:{(904,1),(931,1),(966,1),(975,1),(1220,1),(1221,1),(1296,1),(1337,1),(1339,1),(1356,1),(1612,1),(1635,1),(1653,1),(1720,1),(1991,1),(2030,1)}
1144:{1,2,4,5}:{(903,1),(932,1),(965,1),(976,1),(1223,1),(1225,1),(1295,1),(1338,1),(1340,1),(1355,1),(1605,1),(1633,1),(1652,1),(1721,1),(1986,1),(2029,1)}
1145:{2,4,6}:{(935,1),(967,1),(993,1),(1298,1),(1336,1),(1345,1),(1349,1),(1645,1),(1736,1),(2048,1)}
1146:{2,4,6}:{(936,1),(968,1),(994,1),(1297,1),(1335,1),(1346,1),(1350,1),(1644,1),(1737,1),(2047,1)}
1147:{1,4}:{(996,1),(1012,1),(1300,1),(1653,1)}
1148:{1,4}:{(995,1),(1012,1),(1299,1),(1652,1)}
1149:{2,4,7}:{(937,1),(968,1),(998,1),(1219,1),(1229,1),(1301,1),(1344,1)}
1150:{2,4,7}:{(938,1),(967,1),(997,1),(1224,1),(1227,1),(1302,1),(1343,1)}
1151:{4}:{(999,1),(1303,1)}
1152:{4}:{(1000,1),(1304,1)}
1153:{1,5,7}:{(911,1),(959,1),(981,1),(1320,1),(1351,1),(1723,1)}
1154:{1,5,7}:{(912,1),(960,1),(982,1),(1319,1),(1352,1),(1722,1)}
1155:{1,2,5,7}:{(910,1),(940,1),(969,1),(972,1),(1313,1),(1333,1),(1354,1),(1364,1),(2037,1),(2122,1)}
1156:{1,2,5,7}:{(909,1),(939,1),(970,1),(971,1),(1314,1),(1334,1),(1353,1),(1363,1),(2034,1),(2121,1)}
1157:{1,2,6}:{(902,1),(941,1),(975,1),(1240,1),(1354,1),(2404,1)}
1158:{1,2,6}:{(901,1),(942,1),(976,1),(1232,1),(1353,1),(2403,1)}
1159:{1,2,7}:{(914,1),(943,1),(973,1),(2404,1)}
1160:{1,2,7}:{(913,1),(944,1),(974,1),(2403,1)}
1161:{1,6}:{(915,1),(980,1)}
1162:{1,6}:{(916,1),(979,1)}
1163:{1,5,7}:{(917,1),(964,1),(978,1),(1307,1),(1357,1)}
1164:{1,5,7}:{(918,1),(963,1),(977,1),(1308,1),(1358,1)}
1165:{1,2,4}:{(920,1),(945,1),(1025,1),(1355,1),(1375,1),(1396,1)}
1166:{1,2,4}:{(919,1),(946,1),(1025,1),(1356,1),(1376,1),(1396,1)}
1167:{1,2,5,7}:{(921,1),(986,1),(1020,1),(1319,1),(1323,1),(1394,1),(1395,1),(2022,1),(2037,1),(2122,1)}
1168:{1,2,5,7}:{(922,1),(985,1),(1020,1),(1320,1),(1324,1),(1394,1),(1395,1),(2028,1),(2034,1),(2121,1)}
1169:{2,3,6,7}:{(947,1),(971,1),(987,1),(990,1),(1291,1),(1315,1),(1363,1),(1366,1),(2017,1),(2061,1)}
1170:{2,3,6,7}:{(948,1),(972,1),(988,1),(989,1),(1292,1),(1316,1),(1364,1),(1365,1),(2007,1),(2062,1)}
1171:{2,3,5,6}:{(950,1),(970,1),(987,1),(991,1),(1232,1),(1237,1),(1260,1),(1287,1),(1306,1),(1317,1),(1363,1),(1598,1),(1605,1),(1659,1),(1672,1),(1687,1),(1707,1),(2017,1),(2061,1)}
1172:{2,3,5,6}:{(949,1),(969,1),(988,1),(992,1),(1240,1),(1242,1),(1259,1),(1288,1),(1305,1),(1318,1),(1364,1),(1597,1),(1612,1),(1658,1),(1673,1),(1686,1),(1706,1),(2007,1),(2062,1)}
1173:{2,7}:{(952,1),(993,1)}
1174:{2,7}:{(951,1),(994,1)}
1175:{2,6}:{(953,1),(997,1)}
1176:{2,6}:{(954,1),(998,1)}
1177:{1,2,3,6}:{(955,1),(973,1),(996,1),(1015,1),(1239,1),(1293,1),(1348,1),(1370,1),(1599,1)}
1178:{1,2,3,6}:{(956,1),(974,1),(995,1),(1015,1),(1241,1),(1294,1),(1347,1),(1369,1),(1601,1)}
1179:{2,5,6}:{(958,1),(993,1),(999,1),(1231,1),(1336,1),(1349,1),(1367,1),(1611,1),(1736,1),(2018,1)}
1180:{2,5,6}:{(957,1),(994,1),(1000,1),(1236,1),(1335,1),(1350,1),(1368,1),(1604,1),(1737,1),(2008,1)}
1181:{1,3,5,6}:{(925,1),(978,1),(1001,1),(1257,1),(1287,1),(1329,1),(1371,1),(1374,1),(1660,1),(1723,1),(2120,1)}
1182:{1,3,5,6}:{(926,1),(977,1),(1002,1),(1258,1),(1288,1),(1330,1),(1372,1),(1373,1),(1661,1),(1722,1),(2119,1)}
1183:{1,3,5,7}:{(928,1),(980,1),(1002,1),(1003,1),(1325,1),(1332,1),(1372,1),(1722,1),(1731,1),(2122,1)}
1184:{1,3,5,7}:{(927,1),(979,1),(1001,1),(1004,1),(1326,1),(1331,1),(1371,1),(1723,1),(1730,1),(2121,1)}
1185:{1,3,6,7}:{(930,1),(982,1),(1003,1),(1262,1),(1292,1),(1327,1),(1362,1),(1372,1),(1663,1),(1731,1)}
1186:{1,3,6,7}:{(929,1),(981,1),(1004,1),(1261,1),(1291,1),(1328,1),(1361,1),(1371,1),(1662,1),(1730,1)}
1187:{4,6}:{(1005,1),(1014,1),(1247,1),(1248,1),(1383,1),(1778,1)}
1188:{3,4,5,7}:{(1005,1),(1006,1),(1007,1),(1379,1),(1380,1),(1381,1),(1385,1),(1390,1),(1776,1),(1777,1),(1779,1),(1784,1),(2166,1),(2167,1),(2509,1)}
1189:{3,5,6}:{(1006,1),(1009,1),(1017,1),(1255,1),(1256,1),(1379,1),(1381,1),(1662,1),(1663,1),(1784,1),(2127,1),(2128,1),(2166,1)}
1190:{3,7}:{(1009,1),(1018,1),(1784,1)}
1191:{2,5,7}:{(1005,1),(1010,1),(1011,1),(1383,1)}
1192:{4,6}:{(1012,1),(1015,1),(1382,1),(1384,1),(1778,1)}
1193:{2,3,5}:{(1006,1),(1010,1),(1013,1),(1380,1),(1394,1),(1784,1)}
1194:{2,3,7}:{(1007,1),(1011,1),(1013,1),(1395,1)}
1195:{3,4}:{(1012,1),(1016,1),(1380,1),(1396,1),(1652,1),(1653,1),(1784,1),(2509,1)}
1196:{2,3,7}:{(1008,1),(1015,1),(1022,1),(1384,1)}
1197:{2,3,6}:{(1009,1),(1016,1),(1023,1),(1386,1),(1388,1),(1599,1),(1601,1),(1784,1),(2127,1),(2128,1)}
1198:{1,4,5,7}:{(1005,1),(1017,1),(1018,1),(1024,1),(1243,1),(1244,1),(1381,1),(1389,1),(1393,1),(1714,1),(1715,1),(1777,1),(2107,1),(2108,1)}
1199:{1,5}:{(1006,1),(1019,1)}
1200:{1,4,7}:{(1007,1),(1019,1),(1020,1),(1392,1),(1395,1)}
1201:{1,3,6}:{(1009,1),(1019,1),(1021,1),(1321,1),(1322,1),(1392,1),(1784,1)}
1202:{1,2,5,6}:{(1010,1),(1017,1),(1023,1),(1269,1),(1270,1),(1337,1),(1338,1),(1382,1),(1383,1),(1387,1),(1393,1),(1394,1),(1609,1),(1610,1),(1746,1),(1747,1),(1778,1),(1785,1),(1786,1),(2168,1),(2169,1)}
1203:{1,2,4,7}:{(1011,1),(1018,1),(1022,1),(1023,1),(1273,1),(1274,1),(1384,1),(1388,1),(1393,1),(1395,1),(1618,1),(1620,1),(1754,1),(1755,1),(1777,1),(1788,1),(2107,1),(2108,1),(2364,1),(2369,1)}
1204:{1,2,6}:{(1013,1),(1019,1),(1025,1),(1394,1),(1395,1)}
1205:{1,3,5,6,7}:{(1014,1),(1024,1),(1026,1),(1277,1),(1278,1),(1351,1),(1352,1),(1361,1),(1362,1),(1381,1),(1389,1),(1391,1),(1662,1),(1663,1),(1714,1),(1715,1),(2123,1),(2124,1)}
1206:{1,2,3,5}:{(1016,1),(1021,1),(1025,1),(1355,1),(1356,1),(1375,1),(1376,1),(1394,1),(1396,1),(1397,1),(1632,1),(1638,1),(1784,1),(1785,1)}
1207:{3,4,7}:{(1028,1),(1121,1),(1125,1),(1422,1),(1454,1),(1508,1)}
1208:{1,7}:{(1034,1),(1063,1)}
1209:{5,6,7}:{(1035,1),(1128,1),(1130,1),(1497,1),(1498,1)}
1210:{1,3,7}:{(1037,1),(1063,1),(1121,1),(1454,1),(1513,1)}
1211:{4,5,7}:{(1029,1),(1125,1),(1127,1),(1424,1),(1496,1),(1508,1)}
1212:{6,7}:{(1032,1),(1130,1),(1498,1)}
1213:{1,7}:{(1033,1),(1064,1)}
1214:{4,5,7}:{(1036,1),(1126,1),(1128,1),(1433,1),(1497,1),(1509,1)}
1215:{6,7}:{(1031,1),(1129,1),(1499,1)}
1216:{5,6,7}:{(1030,1),(1127,1),(1129,1),(1496,1),(1499,1)}
1217:{1,3,7}:{(1027,1),(1064,1),(1122,1),(1455,1),(1512,1)}
1218:{3,4,7}:{(1038,1),(1122,1),(1126,1),(1432,1),(1455,1),(1509,1)}
1219:{4,7}:{(1039,1),(1152,1),(1398,1),(1410,1)}
1220:{1,4,5}:{(1046,1),(1083,1),(1147,1),(1400,1),(1417,1),(1537,1)}
1221:{2,4}:{(1050,1),(1118,1),(1466,1)}
1222:{4,7}:{(1048,1),(1151,1),(1405,1),(1415,1)}
1223:{2,4}:{(1049,1),(1117,1),(1467,1)}
1224:{2,4}:{(1047,1),(1118,1),(1407,1),(1466,1)}
1225:{1,4,5}:{(1041,1),(1084,1),(1148,1),(1403,1),(1412,1),(1536,1)}
1226:{1,4,5}:{(1044,1),(1083,1),(1148,1),(1409,1),(1414,1),(1536,1),(1854,1)}
1227:{4,7}:{(1043,1),(1151,1),(1401,1),(1418,1)}
1228:{1,4,5}:{(1042,1),(1084,1),(1147,1),(1399,1),(1416,1),(1537,1),(1855,1)}
1229:{2,4}:{(1045,1),(1117,1),(1404,1),(1467,1)}
1230:{4,7}:{(1040,1),(1152,1),(1408,1),(1420,1)}
1231:{2,6}:{(1031,1),(1048,1),(1415,1),(2192,1)}
1232:{2,3,6}:{(1038,1),(1049,1),(1158,1),(1413,1),(1432,1),(2184,1)}
1233:{1,2,3,6}:{(1027,1),(1041,1),(1096,1),(1158,1),(1412,1),(1423,1),(1485,1),(1555,1),(1831,1),(2579,1)}
1234:{2,5,6}:{(1030,1),(1043,1),(1175,1),(1418,1),(1530,1)}
1235:{2,5,6}:{(1035,1),(1039,1),(1176,1),(1410,1),(1531,1)}
1236:{2,6}:{(1032,1),(1040,1),(1420,1),(2195,1)}
1237:{2,5,6}:{(1036,1),(1045,1),(1176,1),(1419,1),(1433,1),(1531,1)}
1238:{1,2,3,6}:{(1037,1),(1046,1),(1095,1),(1157,1),(1417,1),(1430,1),(1484,1),(1554,1),(1828,1),(2573,1)}
1239:{1,2,6}:{(1033,1),(1042,1),(1096,1),(1416,1),(1428,1),(2193,1)}
1240:{2,3,6}:{(1028,1),(1050,1),(1157,1),(1411,1),(1422,1),(2188,1)}
1241:{1,2,6}:{(1034,1),(1044,1),(1095,1),(1414,1),(1426,1),(2189,1)}
1242:{2,5,6}:{(1029,1),(1047,1),(1175,1),(1421,1),(1424,1),(1530,1)}
1243:{4,5,7}:{(1052,1),(1054,1),(1073,1),(1434,1),(1438,1),(1461,1),(1849,1)}
1244:{4,5,7}:{(1051,1),(1053,1),(1074,1),(1435,1),(1439,1),(1460,1),(1848,1)}
1245:{4,6}:{(1056,1),(1086,1),(1464,1)}
1246:{4,6}:{(1055,1),(1085,1),(1465,1)}
1247:{4}:{(1093,1),(1466,1)}
1248:{4}:{(1094,1),(1467,1)}
1249:{3,5,6}:{(1051,1),(1058,1),(1060,1),(1439,1),(1440,1),(1511,1),(2237,1),(2520,1),(2616,1)}
1250:{3,5,6}:{(1052,1),(1057,1),(1059,1),(1438,1),(1441,1),(1510,1),(2236,1),(2519,1),(2617,1)}
1251:{3,7}:{(1053,1),(1060,1),(1513,1)}
1252:{3,7}:{(1054,1),(1059,1),(1512,1)}
1253:{3,4,5,7}:{(1056,1),(1058,1),(1061,1),(1439,1),(1440,1),(1442,1),(1444,1),(1452,1),(1472,1),(1515,1),(1844,1),(1847,1),(1848,1),(1857,1),(1863,1),(1924,1),(2180,1),(2237,1),(2294,1),(2303,1),(2548,1),(2616,1),(2862,1)}
1254:{3,4,5,7}:{(1055,1),(1057,1),(1062,1),(1438,1),(1441,1),(1443,1),(1445,1),(1453,1),(1473,1),(1514,1),(1845,1),(1846,1),(1849,1),(1856,1),(1862,1),(1925,1),(2181,1),(2236,1),(2295,1),(2302,1),(2551,1),(2617,1),(2861,1)}
1255:{3,5}:{(1068,1),(1108,1),(1443,1)}
1256:{3,5}:{(1067,1),(1107,1),(1442,1)}
1257:{3,5}:{(1069,1),(1105,1),(1518,1),(2233,1),(2251,1)}
1258:{3,5}:{(1070,1),(1106,1),(1519,1),(2232,1),(2250,1)}
1259:{3,6}:{(1066,1),(1110,1),(1454,1),(2250,1)}
1260:{3,6}:{(1065,1),(1109,1),(1455,1),(2251,1)}
1261:{3,7}:{(1068,1),(1112,1),(2251,1)}
1262:{3,7}:{(1067,1),(1111,1),(2250,1)}
1263:{3,4,6}:{(1072,1),(1097,1),(1113,1),(1437,1),(1447,1),(1488,1),(1525,1),(1841,1),(2251,1)}
1264:{3,4,6}:{(1071,1),(1098,1),(1114,1),(1436,1),(1446,1),(1489,1),(1524,1),(1840,1),(2250,1)}
1265:{3,4,7}:{(1070,1),(1099,1),(1116,1),(1451,1),(1494,1),(1526,1),(1843,1),(2848,1)}
1266:{3,4,7}:{(1069,1),(1100,1),(1115,1),(1450,1),(1495,1),(1527,1),(1842,1),(2847,1)}
1267:{3,4}:{(1065,1),(1117,1),(1404,1),(1528,1)}
1268:{3,4}:{(1066,1),(1118,1),(1407,1),(1529,1)}
1269:{2,5,6}:{(1051,1),(1075,1),(1079,1),(1460,1),(1462,1),(1464,1),(2835,1),(2988,1)}
1270:{2,5,6}:{(1052,1),(1076,1),(1080,1),(1461,1),(1463,1),(1465,1),(2842,1),(3003,1)}
1271:{2,5,7}:{(1055,1),(1076,1),(1081,1),(1465,1),(1467,1),(1578,1),(1870,1),(1872,1)}
1272:{2,5,7}:{(1056,1),(1075,1),(1082,1),(1464,1),(1466,1),(1578,1),(1871,1),(1873,1)}
1273:{2,4,7}:{(1054,1),(1078,1),(1080,1),(1461,1),(1468,1),(1474,1),(1849,1)}
1274:{2,4,7}:{(1053,1),(1077,1),(1079,1),(1460,1),(1469,1),(1475,1),(1848,1)}
1275:{4,6}:{(1083,1),(1095,1),(1462,1),(1469,1)}
1276:{4,6}:{(1084,1),(1096,1),(1463,1),(1468,1)}
1277:{3,5,6,7}:{(1074,1),(1086,1),(1090,1),(1435,1),(1439,1),(1478,1),(1551,1),(1865,1),(2787,1)}
1278:{3,5,6,7}:{(1073,1),(1085,1),(1089,1),(1434,1),(1438,1),(1479,1),(1550,1),(1864,1),(2797,1)}
1279:{2,3,5}:{(1057,1),(1076,1),(1091,1),(1445,1),(1553,1),(1579,1),(1925,1),(1974,1),(2236,1),(2617,1),(2842,1)}
1280:{2,3,5}:{(1058,1),(1075,1),(1092,1),(1444,1),(1552,1),(1579,1),(1924,1),(1974,1),(2237,1),(2616,1),(2835,1)}
1281:{2,3,6}:{(1060,1),(1079,1),(1087,1),(1475,1),(1476,1),(1554,1),(2189,1)}
1282:{2,3,6}:{(1059,1),(1080,1),(1088,1),(1474,1),(1477,1),(1555,1),(2193,1)}
1283:{2,3,4,7}:{(1061,1),(1082,1),(1092,1),(1194,1),(1472,1),(1475,1),(1487,1),(1557,1),(1581,1),(1582,1),(1848,1),(1857,1),(1982,1),(2185,1),(2294,1),(2303,1),(2829,1)}
1284:{2,3,4,7}:{(1062,1),(1081,1),(1091,1),(1194,1),(1473,1),(1474,1),(1486,1),(1556,1),(1581,1),(1582,1),(1849,1),(1856,1),(1982,1),(2191,1),(2295,1),(2302,1),(2833,1)}
1285:{3,4,5}:{(1083,1),(1087,1),(1195,1),(1409,1),(1444,1),(1476,1),(1559,1),(1579,1),(1854,1),(1924,1)}
1286:{3,4,5}:{(1084,1),(1088,1),(1195,1),(1399,1),(1445,1),(1477,1),(1558,1),(1579,1),(1855,1),(1925,1)}
1287:{3,5,6}:{(1094,1),(1097,1),(1137,1),(1437,1),(1447,1),(1479,1)}
1288:{3,5,6}:{(1093,1),(1098,1),(1138,1),(1436,1),(1446,1),(1478,1)}
1289:{2,3,7}:{(1064,1),(1078,1),(1096,1),(1428,1),(1468,1),(1804,1)}
1290:{2,3,7}:{(1063,1),(1077,1),(1095,1),(1426,1),(1469,1),(1810,1)}
1291:{3,6,7}:{(1097,1),(1100,1),(1140,1),(1455,1),(1479,1)}
1292:{3,6,7}:{(1098,1),(1099,1),(1139,1),(1454,1),(1478,1)}
1293:{2,3,6}:{(1067,1),(1102,1),(1141,1),(1481,1),(1487,1),(1490,1),(2193,1)}
1294:{2,3,6}:{(1068,1),(1101,1),(1142,1),(1480,1),(1486,1),(1491,1),(2189,1)}
1295:{2,3,5}:{(1065,1),(1101,1),(1144,1),(1403,1),(1406,1),(1485,1),(1925,1)}
1296:{2,3,5}:{(1066,1),(1102,1),(1143,1),(1400,1),(1402,1),(1484,1),(1924,1)}
1297:{2,3,6}:{(1069,1),(1104,1),(1146,1),(1483,1),(1493,1),(1495,1),(1568,1)}
1298:{2,3,6}:{(1070,1),(1103,1),(1145,1),(1482,1),(1492,1),(1494,1),(1569,1)}
1299:{3,4}:{(1101,1),(1148,1),(1409,1)}
1300:{3,4}:{(1102,1),(1147,1),(1399,1)}
1301:{2,3,7}:{(1072,1),(1104,1),(1149,1),(1398,1),(1404,1),(1467,1),(1488,1),(1572,1),(1872,1)}
1302:{2,3,7}:{(1071,1),(1103,1),(1150,1),(1401,1),(1407,1),(1466,1),(1489,1),(1573,1),(1873,1)}
1303:{3}:{(1151,1),(1574,1)}
1304:{3}:{(1152,1),(1575,1)}
1305:{5}:{(1114,1)}
1306:{5}:{(1113,1)}
1307:{5,7}:{(1105,1),(1115,1),(1498,1)}
1308:{5,7}:{(1106,1),(1116,1),(1499,1)}
1309:{1,4,5,6}:{(1052,1),(1108,1),(1109,1),(1137,1),(1437,1),(1448,1),(1501,1),(1502,1),(1505,1),(1510,1),(1534,1),(1853,1),(1899,1),(1901,1),(1907,1),(1909,1),(1917,1),(2212,1),(2236,1),(2288,1),(2519,1),(2545,1)}
1310:{1,4,5,6}:{(1051,1),(1107,1),(1110,1),(1138,1),(1436,1),(1449,1),(1500,1),(1503,1),(1504,1),(1511,1),(1535,1),(1852,1),(1898,1),(1900,1),(1906,1),(1908,1),(1916,1),(2211,1),(2237,1),(2289,1),(2520,1),(2542,1)}
1311:{1,4,5,7}:{(1055,1),(1108,1),(1112,1),(1153,1),(1453,1),(1505,1),(1507,1),(1540,1),(1856,1),(1901,1),(2236,1)}
1312:{1,4,5,7}:{(1056,1),(1107,1),(1111,1),(1154,1),(1452,1),(1504,1),(1506,1),(1541,1),(1857,1),(1900,1),(2237,1)}
1313:{1,4,7}:{(1053,1),(1110,1),(1155,1),(1454,1),(1508,1),(1513,1)}
1314:{1,4,7}:{(1054,1),(1109,1),(1156,1),(1455,1),(1509,1),(1512,1)}
1315:{4,6,7}:{(1113,1),(1115,1),(1169,1),(1497,1),(1498,1),(1509,1),(1899,1)}
1316:{4,6,7}:{(1114,1),(1116,1),(1170,1),(1496,1),(1499,1),(1508,1),(1898,1)}
1317:{4,6}:{(1117,1),(1171,1),(1502,1),(1509,1),(1841,1)}
1318:{4,6}:{(1118,1),(1172,1),(1503,1),(1508,1),(1840,1)}
1319:{1,5}:{(1058,1),(1124,1)}
1320:{1,5}:{(1057,1),(1123,1)}
1321:{1,6}:{(1060,1),(1120,1),(1513,1)}
1322:{1,6}:{(1059,1),(1119,1),(1512,1)}
1323:{1,4,7}:{(1061,1),(1124,1),(1167,1),(1513,1),(1523,1),(1585,1),(2218,1)}
1324:{1,4,7}:{(1062,1),(1123,1),(1168,1),(1512,1),(1522,1),(1585,1),(2217,1)}
1325:{1,3,5}:{(1066,1),(1120,1),(1134,1),(1521,1),(1529,1),(1916,1)}
1326:{1,3,5}:{(1065,1),(1119,1),(1133,1),(1520,1),(1528,1),(1917,1)}
1327:{1,3,6}:{(1067,1),(1124,1),(1134,1),(1516,1),(1523,1)}
1328:{1,3,6}:{(1068,1),(1123,1),(1133,1),(1517,1),(1522,1)}
1329:{1,4,6}:{(1069,1),(1136,1),(1181,1),(1437,1),(1518,1),(1527,1),(1568,1)}
1330:{1,4,6}:{(1070,1),(1135,1),(1182,1),(1436,1),(1519,1),(1526,1),(1569,1)}
1331:{1,4,7}:{(1072,1),(1136,1),(1184,1),(1525,1),(1528,1),(1572,1)}
1332:{1,4,7}:{(1071,1),(1135,1),(1183,1),(1524,1),(1529,1),(1573,1)}
1333:{1,5,7}:{(1074,1),(1138,1),(1139,1),(1478,1),(1496,1)}
1334:{1,5,7}:{(1073,1),(1137,1),(1140,1),(1479,1),(1497,1)}
1335:{2,5}:{(1105,1),(1146,1),(1538,1),(2195,1),(2233,1)}
1336:{2,5}:{(1106,1),(1145,1),(1539,1),(2192,1),(2232,1)}
1337:{1,2,5}:{(1075,1),(1107,1),(1141,1),(1466,1),(1481,1),(1537,1),(1946,1),(2237,1)}
1338:{1,2,5}:{(1076,1),(1108,1),(1142,1),(1467,1),(1480,1),(1536,1),(1947,1),(2236,1)}
1339:{1,2,4,6}:{(1079,1),(1110,1),(1143,1),(1157,1),(1411,1),(1417,1),(1484,1),(1535,1),(1542,1),(1554,1),(1852,1),(1908,1),(2306,1)}
1340:{1,2,4,6}:{(1080,1),(1109,1),(1144,1),(1158,1),(1412,1),(1413,1),(1485,1),(1534,1),(1543,1),(1555,1),(1853,1),(1909,1),(2307,1)}
1341:{1,2,4,7}:{(1082,1),(1111,1),(1141,1),(1159,1),(1487,1),(1541,1),(1549,1),(1857,1),(2306,1)}
1342:{1,2,4,7}:{(1081,1),(1112,1),(1142,1),(1160,1),(1486,1),(1540,1),(1548,1),(1856,1),(2307,1)}
1343:{2,4,6}:{(1114,1),(1150,1),(1175,1),(1418,1),(1489,1),(1530,1),(1840,1)}
1344:{2,4,6}:{(1113,1),(1149,1),(1176,1),(1410,1),(1488,1),(1531,1),(1841,1)}
1345:{2,4,7}:{(1116,1),(1145,1),(1173,1),(1494,1),(1533,1),(1546,1),(1843,1),(2782,1)}
1346:{2,4,7}:{(1115,1),(1146,1),(1174,1),(1495,1),(1532,1),(1547,1),(1842,1),(2775,1)}
1347:{1,4,6}:{(1148,1),(1178,1),(1192,1),(1491,1),(1536,1),(1548,1),(1933,1)}
1348:{1,4,6}:{(1147,1),(1177,1),(1192,1),(1490,1),(1537,1),(1549,1),(1932,1)}
1349:{4,6}:{(1151,1),(1179,1),(1492,1),(1539,1),(1546,1)}
1350:{4,6}:{(1152,1),(1180,1),(1493,1),(1538,1),(1547,1)}
1351:{1,5,6}:{(1085,1),(1153,1),(1162,1),(1505,1),(2236,1),(2288,1)}
1352:{1,5,6}:{(1086,1),(1154,1),(1161,1),(1504,1),(2237,1),(2289,1)}
1353:{1,2,7}:{(1078,1),(1122,1),(1158,1),(1432,1)}
1354:{1,2,7}:{(1077,1),(1121,1),(1157,1),(1422,1)}
1355:{1,2,5}:{(1088,1),(1119,1),(1165,1),(1555,1),(1558,1)}
1356:{1,2,5}:{(1087,1),(1120,1),(1166,1),(1554,1),(1559,1)}
1357:{1,6,7}:{(1089,1),(1162,1),(1163,1),(1498,1),(1512,1)}
1358:{1,6,7}:{(1090,1),(1161,1),(1164,1),(1499,1),(1513,1)}
1359:{1,2,4,6}:{(1092,1),(1124,1),(1166,1),(1204,1),(1552,1),(1554,1),(1557,1),(1564,1),(1585,1),(1589,1),(1908,1),(1910,1),(1945,1),(1946,1),(2285,1)}
1360:{1,2,4,6}:{(1091,1),(1123,1),(1165,1),(1204,1),(1553,1),(1555,1),(1556,1),(1565,1),(1585,1),(1589,1),(1909,1),(1911,1),(1944,1),(1947,1),(2284,1)}
1361:{1,3,5,7}:{(1094,1),(1153,1),(1186,1),(1453,1),(1479,1),(1507,1),(1517,1),(1561,1)}
1362:{1,3,5,7}:{(1093,1),(1154,1),(1185,1),(1452,1),(1478,1),(1506,1),(1516,1),(1560,1)}
1363:{2,3,5,7}:{(1126,1),(1156,1),(1169,1),(1171,1),(1432,1),(1433,1),(1455,1),(1479,1),(1497,1),(1509,1),(1805,1),(1825,1),(1862,1),(1872,1)}
1364:{2,3,5,7}:{(1125,1),(1155,1),(1170,1),(1172,1),(1422,1),(1424,1),(1454,1),(1478,1),(1496,1),(1508,1),(1812,1),(1817,1),(1863,1),(1873,1)}
1365:{2,6,7}:{(1127,1),(1173,1),(1175,1),(1424,1)}
1366:{2,6,7}:{(1128,1),(1174,1),(1176,1),(1433,1)}
1367:{2,5,7}:{(1129,1),(1173,1),(1179,1),(1431,1),(1546,1),(1819,1)}
1368:{2,5,7}:{(1130,1),(1174,1),(1180,1),(1429,1),(1547,1),(1821,1)}
1369:{1,2,3,7}:{(1132,1),(1160,1),(1178,1),(1196,1),(1426,1),(1486,1),(1548,1),(1810,1),(2579,1)}
1370:{1,2,3,7}:{(1131,1),(1159,1),(1177,1),(1196,1),(1428,1),(1487,1),(1549,1),(1804,1),(2573,1)}
1371:{1,3,6}:{(1097,1),(1162,1),(1184,1),(1525,1),(2251,1),(2288,1)}
1372:{1,3,6}:{(1098,1),(1161,1),(1183,1),(1524,1),(2250,1),(2289,1)}
1373:{1,3,5,7}:{(1099,1),(1164,1),(1182,1),(1451,1),(1478,1),(1526,1),(1562,1),(1913,1),(2793,1)}
1374:{1,3,5,7}:{(1100,1),(1163,1),(1181,1),(1450,1),(1479,1),(1527,1),(1563,1),(1912,1),(2795,1)}
1375:{1,2,3}:{(1101,1),(1133,1),(1165,1),(1570,1),(2339,1)}
1376:{1,2,3}:{(1102,1),(1134,1),(1166,1),(1571,1),(2338,1)}
1377:{1,2}:{(1103,1),(1135,1),(1466,1),(1574,1)}
1378:{1,2}:{(1104,1),(1136,1),(1467,1),(1575,1)}
1379:{3,4,6}:{(1187,1),(1188,1),(1189,1),(1442,1),(1443,1),(1576,1),(1580,1),(1584,1),(1973,1)}
1380:{4}:{(1193,1)}
1381:{3,5,7}:{(1189,1),(1190,1),(1198,1),(1577,1),(2236,1),(2237,1),(2294,1),(2295,1)}
1382:{5}:{(1192,1)}
1383:{2,6}:{(1187,1),(1191,1),(1466,1),(1467,1)}
1384:{4,7}:{(1192,1),(1196,1),(1578,1)}
1385:{2,3,5,7}:{(1188,1),(1191,1),(1193,1),(1194,1),(1580,1),(1581,1),(1588,1),(1974,1),(1982,1),(2346,1)}
1386:{3,4,6}:{(1192,1),(1195,1),(1197,1),(1576,1),(1579,1),(1582,1),(1589,1),(1973,1)}
1387:{2,3,5,6}:{(1189,1),(1193,1),(1197,1),(1202,1),(1480,1),(1481,1),(1576,1),(1579,1),(1580,1),(1583,1),(1796,1),(1801,1),(1894,1),(1895,1),(1973,1),(1974,1),(2189,1),(2193,1),(2236,1),(2237,1),(2342,1),(2346,1)}
1388:{2,3,7}:{(1190,1),(1197,1),(1203,1),(1582,1),(1804,1),(1810,1),(2294,1),(2295,1)}
1389:{1,4,6,7}:{(1187,1),(1198,1),(1205,1),(1434,1),(1435,1),(1504,1),(1505,1),(1506,1),(1507,1),(1577,1),(1584,1),(1587,1)}
1390:{1,4,5,7}:{(1188,1),(1199,1),(1200,1),(1584,1),(1585,1),(1586,1),(1588,1),(1976,1),(1977,1),(1979,1),(2861,1),(2862,1)}
1391:{1,3,5,6}:{(1189,1),(1199,1),(1201,1),(1510,1),(1511,1),(1516,1),(1517,1),(1584,1),(1586,1),(1918,1),(1919,1),(2787,1),(2797,1)}
1392:{1,3,7}:{(1190,1),(1200,1),(1201,1),(1512,1),(1513,1)}
1393:{1,2,5,7}:{(1191,1),(1198,1),(1202,1),(1203,1),(1460,1),(1461,1),(1578,1),(1583,1),(1587,1),(1822,1),(1824,1),(1979,1)}
1394:{1,2,5}:{(1193,1),(1199,1),(1204,1),(1585,1)}
1395:{1,2,7}:{(1194,1),(1200,1),(1204,1)}
1396:{1,4}:{(1195,1),(1206,1)}
1397:{1,2,3,6}:{(1197,1),(1201,1),(1204,1),(1206,1),(1554,1),(1555,1),(1589,1),(1591,1),(1828,1),(1831,1)}
1398:{3,7}:{(1219,1),(1304,1),(1600,1),(1630,1)}
1399:{3,5}:{(1228,1),(1300,1),(1599,1)}
1400:{3,4,5}:{(1220,1),(1296,1),(1300,1),(1592,1),(1653,1),(1691,1),(1991,1)}
1401:{3,7}:{(1227,1),(1303,1),(1594,1),(1628,1)}
1402:{2,3,4}:{(1221,1),(1268,1),(1296,1),(1635,1),(1653,1),(1680,1),(2130,1)}
1403:{3,4,5}:{(1225,1),(1295,1),(1299,1),(1596,1),(1652,1),(1690,1),(1986,1)}
1404:{2,3}:{(1229,1),(1267,1),(1629,1)}
1405:{3,7}:{(1222,1),(1303,1),(1602,1),(1634,1)}
1406:{2,3,4}:{(1223,1),(1267,1),(1295,1),(1633,1),(1652,1),(1681,1),(2129,1)}
1407:{2,3}:{(1224,1),(1268,1),(1639,1)}
1408:{3,7}:{(1230,1),(1304,1),(1595,1),(1637,1)}
1409:{3,5}:{(1226,1),(1299,1),(1601,1)}
1410:{4,6}:{(1219,1),(1235,1),(1600,1),(1614,1)}
1411:{2,4,6}:{(1221,1),(1240,1),(1318,1),(1612,1),(1621,1),(1673,1),(2007,1),(2070,1)}
1412:{1,4,6}:{(1225,1),(1233,1),(1276,1),(1596,1),(1608,1),(1617,1),(2719,1)}
1413:{2,4,6}:{(1223,1),(1232,1),(1317,1),(1605,1),(1619,1),(1672,1),(2017,1),(2069,1)}
1414:{1,4,6}:{(1226,1),(1241,1),(1275,1),(1601,1),(1609,1),(1620,1),(1989,1)}
1415:{4,6}:{(1222,1),(1231,1),(1602,1),(1611,1),(1984,1)}
1416:{1,4,6}:{(1228,1),(1239,1),(1276,1),(1599,1),(1610,1),(1618,1),(1985,1)}
1417:{1,4,6}:{(1220,1),(1238,1),(1275,1),(1592,1),(1615,1),(1625,1),(2725,1)}
1418:{4,6}:{(1227,1),(1234,1),(1594,1),(1606,1)}
1419:{2,4,6}:{(1229,1),(1237,1),(1317,1),(1598,1),(1607,1),(1624,1),(1672,1)}
1420:{4,6}:{(1230,1),(1236,1),(1595,1),(1604,1),(1992,1)}
1421:{2,4,6}:{(1224,1),(1242,1),(1318,1),(1597,1),(1613,1),(1616,1),(1673,1)}
1422:{2,3,7}:{(1207,1),(1240,1),(1354,1),(1621,1)}
1423:{1,2,3,7}:{(1217,1),(1233,1),(1289,1),(1353,1),(1617,1),(1698,1),(1755,1),(2031,1)}
1424:{2,5,7}:{(1211,1),(1242,1),(1365,1),(1616,1)}
1425:{2,5,6,7}:{(1209,1),(1235,1),(1366,1),(1368,1),(1622,1),(1737,1),(1738,1),(2008,1)}
1426:{1,2,7}:{(1208,1),(1241,1),(1290,1),(1620,1),(2364,1)}
1427:{2,5,6,7}:{(1216,1),(1234,1),(1365,1),(1367,1),(1626,1),(1736,1),(1739,1),(2018,1)}
1428:{1,2,7}:{(1213,1),(1239,1),(1289,1),(1618,1),(2369,1)}
1429:{2,6,7}:{(1212,1),(1236,1),(1368,1),(1623,1),(1737,1),(2362,1)}
1430:{1,2,3,7}:{(1210,1),(1238,1),(1290,1),(1354,1),(1625,1),(1699,1),(1754,1),(2036,1)}
1431:{2,6,7}:{(1215,1),(1231,1),(1367,1),(1627,1),(1736,1),(2361,1)}
1432:{2,3,7}:{(1218,1),(1232,1),(1353,1),(1619,1)}
1433:{2,5,7}:{(1214,1),(1237,1),(1366,1),(1624,1)}
1434:{4,6,7}:{(1243,1),(1246,1),(1278,1),(1643,1),(1670,1),(2898,1)}
1435:{4,6,7}:{(1244,1),(1245,1),(1277,1),(1642,1),(1671,1),(2891,1)}
1436:{4,6}:{(1247,1),(1288,1),(1641,1),(1642,1),(1673,1)}
1437:{4,6}:{(1248,1),(1287,1),(1640,1),(1643,1),(1672,1)}
1438:{3,5,7}:{(1243,1),(1250,1),(1252,1),(1646,1),(1714,1),(2424,1)}
1439:{3,5,7}:{(1244,1),(1249,1),(1251,1),(1647,1),(1715,1),(2425,1)}
1440:{3,4,6}:{(1245,1),(1249,1),(1253,1),(1650,1),(1663,1),(1679,1),(1716,1),(2057,1),(2062,1),(2128,1),(2354,1),(2682,1),(2891,1)}
1441:{3,4,6}:{(1246,1),(1250,1),(1254,1),(1651,1),(1662,1),(1678,1),(1717,1),(2058,1),(2061,1),(2127,1),(2359,1),(2679,1),(2898,1)}
1442:{3,4}:{(1247,1),(1256,1),(1653,1),(1680,1),(1718,1)}
1443:{3,4}:{(1248,1),(1255,1),(1652,1),(1681,1),(1719,1)}
1444:{4,5}:{(1280,1),(1380,1),(1650,1),(1653,1),(2509,1)}
1445:{4,5}:{(1279,1),(1380,1),(1651,1),(1652,1),(2509,1)}
1446:{3,5}:{(1264,1),(1305,1),(1641,1),(1722,1)}
1447:{3,5}:{(1263,1),(1306,1),(1640,1),(1723,1)}
1448:{3,5,6}:{(1255,1),(1260,1),(1309,1),(1648,1),(1657,1),(1659,1),(1662,1),(2061,1),(2063,1),(2127,1),(2389,1),(2679,1)}
1449:{3,5,6}:{(1256,1),(1259,1),(1310,1),(1649,1),(1656,1),(1658,1),(1663,1),(2062,1),(2064,1),(2128,1),(2391,1),(2682,1)}
1450:{3,5,7}:{(1257,1),(1266,1),(1307,1),(1660,1),(1729,1),(2431,1),(2728,1)}
1451:{3,5,7}:{(1258,1),(1265,1),(1308,1),(1661,1),(1728,1),(2430,1),(2729,1)}
1452:{3,5,7}:{(1256,1),(1262,1),(1312,1),(1663,1),(1665,1),(2064,1)}
1453:{3,5,7}:{(1255,1),(1261,1),(1311,1),(1662,1),(1664,1),(2063,1)}
1454:{3,7}:{(1259,1),(1313,1)}
1455:{3,7}:{(1260,1),(1314,1)}
1456:{3,4,6,7}:{(1263,1),(1266,1),(1291,1),(1315,1),(1643,1),(1655,1),(1660,1),(1666,1),(1701,1),(1732,1),(2043,1),(2046,1),(2047,1),(2061,1),(2355,1),(2431,1)}
1457:{3,4,6,7}:{(1264,1),(1265,1),(1292,1),(1316,1),(1642,1),(1654,1),(1661,1),(1667,1),(1700,1),(1733,1),(2044,1),(2045,1),(2048,1),(2062,1),(2358,1),(2430,1)}
1458:{3,4,6}:{(1260,1),(1267,1),(1317,1),(1598,1),(1659,1),(1666,1),(1735,1),(1983,1),(2061,1)}
1459:{3,4,6}:{(1259,1),(1268,1),(1318,1),(1597,1),(1658,1),(1667,1),(1734,1),(1993,1),(2062,1)}
1460:{2,5,7}:{(1244,1),(1269,1),(1274,1),(1668,1),(1671,1)}
1461:{2,5,7}:{(1243,1),(1270,1),(1273,1),(1669,1),(1670,1)}
1462:{5,6}:{(1275,1),(1382,1),(1668,1),(1778,1)}
1463:{5,6}:{(1276,1),(1382,1),(1669,1),(1778,1)}
1464:{2,6}:{(1245,1),(1272,1),(1778,1)}
1465:{2,6}:{(1246,1),(1271,1),(1778,1)}
1466:{2}:{(1247,1)}
1467:{2}:{(1248,1)}
1468:{4,7}:{(1276,1),(1289,1),(1669,1)}
1469:{4,7}:{(1275,1),(1290,1),(1668,1)}
1470:{2,3,5,6}:{(1250,1),(1270,1),(1279,1),(1282,1),(1651,1),(1675,1),(1676,1),(1678,1),(1750,1),(2080,1),(2127,1)}
1471:{2,3,5,6}:{(1249,1),(1269,1),(1280,1),(1281,1),(1650,1),(1674,1),(1677,1),(1679,1),(1751,1),(2079,1),(2128,1)}
1472:{2,3,5,7}:{(1253,1),(1272,1),(1280,1),(1283,1),(1679,1),(1680,1),(1682,1),(1753,1),(1779,1),(2073,1),(2075,1),(2945,1)}
1473:{2,3,5,7}:{(1254,1),(1271,1),(1279,1),(1284,1),(1678,1),(1681,1),(1683,1),(1752,1),(1779,1),(2074,1),(2076,1),(2947,1)}
1474:{2,3,7}:{(1252,1),(1273,1),(1282,1),(1685,1),(1755,1),(2369,1)}
1475:{2,3,7}:{(1251,1),(1274,1),(1281,1),(1684,1),(1754,1),(2364,1)}
1476:{3,4,6}:{(1275,1),(1281,1),(1285,1),(1601,1),(1650,1),(1677,1),(1684,1),(1756,1),(1989,1),(2128,1)}
1477:{3,4,6}:{(1276,1),(1282,1),(1286,1),(1599,1),(1651,1),(1676,1),(1685,1),(1757,1),(1985,1),(2127,1)}
1478:{3,5,7}:{(1288,1),(1292,1),(1333,1),(1642,1)}
1479:{3,5,7}:{(1287,1),(1291,1),(1334,1),(1643,1)}
1480:{2,3,5}:{(1255,1),(1294,1),(1338,1),(1652,1),(1681,1),(1690,1),(2084,1)}
1481:{2,3,5}:{(1256,1),(1293,1),(1337,1),(1653,1),(1680,1),(1691,1),(2083,1)}
1482:{2,3,5}:{(1258,1),(1298,1),(1336,1),(1645,1),(1693,1),(1762,1),(2098,1)}
1483:{2,3,5}:{(1257,1),(1297,1),(1335,1),(1644,1),(1692,1),(1763,1),(2097,1)}
1484:{2,3,6}:{(1259,1),(1296,1),(1339,1),(1592,1),(1699,1),(2128,1),(2448,1)}
1485:{2,3,6}:{(1260,1),(1295,1),(1340,1),(1596,1),(1698,1),(2127,1),(2449,1)}
1486:{2,3,7}:{(1261,1),(1294,1),(1342,1),(1705,1),(2364,1),(2449,1)}
1487:{2,3,7}:{(1262,1),(1293,1),(1341,1),(1704,1),(2369,1),(2448,1)}
1488:{2,3,6}:{(1263,1),(1301,1),(1344,1),(1600,1),(1672,1),(1687,1),(1769,1)}
1489:{2,3,6}:{(1264,1),(1302,1),(1343,1),(1594,1),(1673,1),(1686,1),(1768,1)}
1490:{3,4,6}:{(1293,1),(1300,1),(1348,1),(1599,1),(1653,1),(1691,1),(1704,1),(1985,1),(2057,1),(2092,1)}
1491:{3,4,6}:{(1294,1),(1299,1),(1347,1),(1601,1),(1652,1),(1690,1),(1705,1),(1989,1),(2058,1),(2091,1)}
1492:{3,6}:{(1303,1),(1349,1),(1693,1),(1703,1),(1772,1)}
1493:{3,6}:{(1304,1),(1350,1),(1692,1),(1702,1),(1773,1)}
1494:{2,3,7}:{(1265,1),(1298,1),(1345,1),(1703,1),(1774,1),(2884,1)}
1495:{2,3,7}:{(1266,1),(1297,1),(1346,1),(1702,1),(1775,1),(2888,1)}
1496:{5,7}:{(1305,1),(1316,1),(1706,1)}
1497:{5,7}:{(1306,1),(1315,1),(1707,1)}
1498:{6}:{(1307,1)}
1499:{6}:{(1308,1)}
1500:{1,4,5,7}:{(1244,1),(1310,1),(1313,1),(1333,1),(1642,1),(1656,1),(1708,1),(1710,1),(1715,1),(1740,1),(2054,1),(2103,1),(2108,1),(2122,1),(2425,1)}
1501:{1,4,5,7}:{(1243,1),(1309,1),(1314,1),(1334,1),(1643,1),(1657,1),(1709,1),(1711,1),(1714,1),(1741,1),(2053,1),(2104,1),(2107,1),(2121,1),(2424,1)}
1502:{4,5}:{(1306,1),(1317,1),(1605,1),(1659,1)}
1503:{4,5}:{(1305,1),(1318,1),(1612,1),(1658,1)}
1504:{1,4,6}:{(1245,1),(1312,1),(1352,1),(1663,1),(1747,1),(2057,1)}
1505:{1,4,6}:{(1246,1),(1311,1),(1351,1),(1662,1),(1746,1),(2058,1)}
1506:{1,4,7}:{(1247,1),(1362,1),(1642,1),(1665,1),(1712,1),(1718,1),(1749,1)}
1507:{1,4,7}:{(1248,1),(1361,1),(1643,1),(1664,1),(1713,1),(1719,1),(1748,1)}
1508:{4,7}:{(1318,1),(1364,1)}
1509:{4,7}:{(1317,1),(1363,1)}
1510:{1,5,6}:{(1250,1),(1320,1),(1322,1),(1714,1),(1717,1),(2455,1)}
1511:{1,5,6}:{(1249,1),(1319,1),(1321,1),(1715,1),(1716,1),(2454,1)}
1512:{1,7}:{(1252,1),(1322,1)}
1513:{1,7}:{(1251,1),(1321,1)}
1514:{1,4,5,7}:{(1254,1),(1320,1),(1324,1),(1714,1),(1717,1),(1719,1),(1721,1),(1726,1),(1752,1),(2104,1),(2106,1),(2107,1),(2115,1),(2121,1),(2455,1)}
1515:{1,4,5,7}:{(1253,1),(1319,1),(1323,1),(1715,1),(1716,1),(1718,1),(1720,1),(1727,1),(1753,1),(2103,1),(2105,1),(2108,1),(2116,1),(2122,1),(2454,1)}
1516:{1,3,5}:{(1256,1),(1319,1),(1327,1),(1718,1)}
1517:{1,3,5}:{(1255,1),(1320,1),(1328,1),(1719,1)}
1518:{1,4,5}:{(1257,1),(1329,1),(1640,1),(1644,1),(1723,1),(1763,1),(2101,1)}
1519:{1,4,5}:{(1258,1),(1330,1),(1641,1),(1645,1),(1722,1),(1762,1),(2102,1)}
1520:{1,3,6}:{(1260,1),(1322,1),(1326,1),(1730,1),(1735,1),(2385,1)}
1521:{1,3,6}:{(1259,1),(1321,1),(1325,1),(1731,1),(1734,1),(2393,1)}
1522:{1,3,7}:{(1261,1),(1324,1),(1328,1),(1784,1),(2385,1)}
1523:{1,3,7}:{(1262,1),(1323,1),(1327,1),(1784,1),(2393,1)}
1524:{1,4,6}:{(1264,1),(1332,1),(1372,1),(1722,1),(1768,1),(2102,1)}
1525:{1,4,6}:{(1263,1),(1331,1),(1371,1),(1723,1),(1769,1),(2101,1)}
1526:{1,4,7}:{(1265,1),(1330,1),(1373,1),(1642,1),(1774,1),(2896,1)}
1527:{1,4,7}:{(1266,1),(1329,1),(1374,1),(1643,1),(1775,1),(2890,1)}
1528:{1,4}:{(1267,1),(1326,1),(1629,1)}
1529:{1,4}:{(1268,1),(1325,1),(1639,1)}
1530:{2,5}:{(1305,1),(1343,1),(1606,1)}
1531:{2,5}:{(1306,1),(1344,1),(1614,1)}
1532:{2,5,7}:{(1307,1),(1335,1),(1346,1),(1737,1),(1742,1),(2362,1),(2662,1)}
1533:{2,5,7}:{(1308,1),(1336,1),(1345,1),(1736,1),(1743,1),(2361,1),(2654,1)}
1534:{1,2,5,6}:{(1270,1),(1309,1),(1338,1),(1340,1),(1605,1),(1608,1),(1672,1),(1689,1),(1741,1),(1746,1),(2017,1),(2029,1),(2131,1),(2141,1),(2416,1)}
1535:{1,2,5,6}:{(1269,1),(1310,1),(1337,1),(1339,1),(1612,1),(1615,1),(1673,1),(1688,1),(1740,1),(1747,1),(2007,1),(2030,1),(2132,1),(2142,1),(2408,1)}
1536:{1,5}:{(1347,1),(1382,1),(1690,1)}
1537:{1,5}:{(1348,1),(1382,1),(1691,1)}
1538:{4,5}:{(1335,1),(1350,1),(1604,1),(1644,1),(1692,1),(1992,1)}
1539:{4,5}:{(1336,1),(1349,1),(1611,1),(1645,1),(1693,1),(1984,1)}
1540:{1,2,5,7}:{(1271,1),(1311,1),(1338,1),(1342,1),(1696,1),(1744,1),(1746,1),(1748,1),(2131,1)}
1541:{1,2,5,7}:{(1272,1),(1312,1),(1337,1),(1341,1),(1697,1),(1745,1),(1747,1),(1749,1),(2132,1)}
1542:{1,2,4,7}:{(1274,1),(1313,1),(1339,1),(1354,1),(1621,1),(1625,1),(1699,1),(1740,1),(1754,1),(2054,1),(2108,1)}
1543:{1,2,4,7}:{(1273,1),(1314,1),(1340,1),(1353,1),(1617,1),(1619,1),(1698,1),(1741,1),(1755,1),(2053,1),(2107,1)}
1544:{2,4,6,7}:{(1316,1),(1343,1),(1345,1),(1365,1),(1616,1),(1626,1),(1700,1),(1736,1),(1739,1),(2015,1),(2045,1),(2048,1)}
1545:{2,4,6,7}:{(1315,1),(1344,1),(1346,1),(1366,1),(1622,1),(1624,1),(1701,1),(1737,1),(1738,1),(2010,1),(2046,1),(2047,1)}
1546:{4,7}:{(1349,1),(1367,1),(1703,1)}
1547:{4,7}:{(1350,1),(1368,1),(1702,1)}
1548:{1,4,7}:{(1347,1),(1369,1),(1384,1),(1705,1),(1744,1),(2719,1)}
1549:{1,4,7}:{(1348,1),(1370,1),(1384,1),(1704,1),(1745,1),(2725,1)}
1550:{1,5,6,7}:{(1278,1),(1334,1),(1351,1),(1357,1),(1707,1),(1711,1),(1714,1),(2424,1),(2667,1)}
1551:{1,5,6,7}:{(1277,1),(1333,1),(1352,1),(1358,1),(1706,1),(1710,1),(1715,1),(2425,1),(2668,1)}
1552:{1,2,5}:{(1280,1),(1319,1),(1359,1),(1720,1),(1785,1),(2454,1)}
1553:{1,2,5}:{(1279,1),(1320,1),(1360,1),(1721,1),(1785,1),(2455,1)}
1554:{1,2,6}:{(1281,1),(1321,1),(1356,1),(1754,1),(1756,1)}
1555:{1,2,6}:{(1282,1),(1322,1),(1355,1),(1755,1),(1757,1)}
1556:{1,2,4,7}:{(1284,1),(1324,1),(1360,1),(1395,1),(1752,1),(1755,1),(1767,1),(1788,1),(2107,1),(2115,1),(2400,1)}
1557:{1,2,4,7}:{(1283,1),(1323,1),(1359,1),(1395,1),(1753,1),(1754,1),(1766,1),(1788,1),(2108,1),(2116,1),(2402,1)}
1558:{1,4,5}:{(1286,1),(1355,1),(1396,1),(1632,1),(1757,1),(1785,1)}
1559:{1,4,5}:{(1285,1),(1356,1),(1396,1),(1638,1),(1756,1),(1785,1)}
1560:{1,3,5,6}:{(1288,1),(1352,1),(1362,1),(1372,1),(1663,1),(1712,1),(1722,1),(2064,1)}
1561:{1,3,5,6}:{(1287,1),(1351,1),(1361,1),(1371,1),(1662,1),(1713,1),(1723,1),(2063,1)}
1562:{1,3,6,7}:{(1292,1),(1358,1),(1372,1),(1373,1),(1661,1),(1731,1),(1733,1),(2430,1),(2681,1)}
1563:{1,3,6,7}:{(1291,1),(1357,1),(1371,1),(1374,1),(1660,1),(1730,1),(1732,1),(2431,1),(2683,1)}
1564:{1,2,3,6}:{(1293,1),(1327,1),(1359,1),(1376,1),(1760,1),(1766,1),(1771,1),(1784,1),(2128,1),(2171,1),(2396,1)}
1565:{1,2,3,6}:{(1294,1),(1328,1),(1360,1),(1375,1),(1761,1),(1767,1),(1770,1),(1784,1),(2127,1),(2171,1),(2405,1)}
1566:{1,2,3,5}:{(1296,1),(1325,1),(1356,1),(1376,1),(1635,1),(1636,1),(1764,1),(2030,1),(2503,1)}
1567:{1,2,3,5}:{(1295,1),(1326,1),(1355,1),(1375,1),(1631,1),(1633,1),(1765,1),(2029,1),(2502,1)}
1568:{1,2,6}:{(1297,1),(1329,1),(1378,1),(1672,1),(1763,1),(1773,1),(1775,1)}
1569:{1,2,6}:{(1298,1),(1330,1),(1377,1),(1673,1),(1762,1),(1772,1),(1774,1)}
1570:{1,3,4}:{(1299,1),(1375,1),(1396,1),(1638,1),(1784,1),(2130,1)}
1571:{1,3,4}:{(1300,1),(1376,1),(1396,1),(1632,1),(1784,1),(2129,1)}
1572:{1,2,7}:{(1301,1),(1331,1),(1378,1),(1629,1),(1630,1),(1769,1)}
1573:{1,2,7}:{(1302,1),(1332,1),(1377,1),(1628,1),(1639,1),(1768,1)}
1574:{1}:{(1303,1)}
1575:{1}:{(1304,1)}
1576:{4,6}:{(1380,1),(1387,1),(1652,1),(1653,1),(1776,1),(1777,1),(2509,1)}
1577:{3,4,6,7}:{(1379,1),(1381,1),(1389,1),(1662,1),(1663,1),(1664,1),(1665,1),(1777,1),(1781,1),(2057,1),(2058,1)}
1578:{5,7}:{(1382,1),(1384,1),(1778,1)}
1579:{3,5}:{(1382,1),(1386,1),(1776,1),(1785,1)}
1580:{2,3,6}:{(1379,1),(1383,1),(1385,1),(1680,1),(1681,1),(1780,1),(1786,1)}
1581:{2,4,7}:{(1380,1),(1385,1),(1777,1),(1780,1),(2364,1),(2369,1),(2509,1)}
1582:{3,4,7}:{(1384,1),(1386,1),(1388,1),(1777,1),(1779,1),(1788,1)}
1583:{2,3,5,7}:{(1381,1),(1387,1),(1388,1),(1393,1),(1777,1),(1779,1),(1781,1),(2003,1),(2004,1),(2164,1),(2364,1),(2369,1)}
1584:{1,4,6}:{(1379,1),(1390,1),(1391,1),(1718,1),(1719,1),(1786,1),(2168,1),(2891,1),(2898,1)}
1585:{1,4}:{(1380,1),(1394,1),(1784,1)}
1586:{1,3,5,7}:{(1381,1),(1390,1),(1391,1),(1392,1),(1714,1),(1715,1),(1783,1),(1784,1),(2166,1),(2454,1),(2455,1),(2742,1),(2743,1)}
1587:{1,2,6,7}:{(1383,1),(1389,1),(1393,1),(1670,1),(1671,1),(1746,1),(1747,1),(1748,1),(1749,1),(1778,1),(1781,1),(1786,1),(2014,1),(2016,1),(2168,1)}
1588:{1,2,5,7}:{(1385,1),(1390,1),(1394,1),(1395,1),(1786,1),(1787,1),(2169,1),(2945,1),(2947,1)}
1589:{1,4,6}:{(1386,1),(1396,1),(1397,1),(1785,1),(1788,1),(2168,1)}
1590:{1,2,3,5,6}:{(1387,1),(1391,1),(1394,1),(1397,1),(1750,1),(1751,1),(1760,1),(1761,1),(1782,1),(1784,1),(1785,1),(1786,1),(1789,1),(2020,1),(2024,1),(2127,1),(2128,1),(2155,1),(2156,1),(2166,1),(2168,1),(2169,1),(2171,1),(2396,1),(2405,1),(2454,1),(2455,1),(2498,1),(2499,1),(2508,1),(2510,1)}
1591:{1,2,3,7}:{(1388,1),(1392,1),(1395,1),(1397,1),(1754,1),(1755,1),(1788,1),(2031,1),(2036,1)}
1592:{3,4,6}:{(1400,1),(1417,1),(1484,1),(1791,1),(1807,1),(1852,1),(2603,1)}
1593:{2,3,4,6}:{(1402,1),(1411,1),(1459,1),(1484,1),(1798,1),(1809,1),(1832,1),(1852,1),(1878,1),(2185,1),(2199,1),(2299,1)}
1594:{3,6}:{(1401,1),(1418,1),(1793,1),(1835,1)}
1595:{3,6}:{(1408,1),(1420,1),(1794,1),(1826,1)}
1596:{3,4,6}:{(1403,1),(1412,1),(1485,1),(1792,1),(1802,1),(1853,1),(2602,1)}
1597:{2,3,6}:{(1407,1),(1421,1),(1459,1),(1795,1),(1812,1),(1827,1)}
1598:{2,3,6}:{(1404,1),(1419,1),(1458,1),(1800,1),(1805,1),(1833,1)}
1599:{3,6}:{(1399,1),(1416,1),(1804,1)}
1600:{3,6}:{(1398,1),(1410,1),(1797,1),(1829,1)}
1601:{3,6}:{(1409,1),(1414,1),(1810,1)}
1602:{3,6}:{(1405,1),(1415,1),(1790,1),(1834,1)}
1603:{2,3,4,6}:{(1406,1),(1413,1),(1458,1),(1485,1),(1799,1),(1813,1),(1830,1),(1853,1),(1879,1),(2191,1),(2207,1),(2298,1)}
1604:{5}:{(1420,1)}
1605:{2,5}:{(1413,1),(1502,1)}
1606:{4,5}:{(1418,1),(1530,1),(1793,1),(1840,1)}
1607:{2,4,5}:{(1419,1),(1502,1),(1531,1),(1800,1),(1841,1),(1870,1)}
1608:{1,5,6}:{(1412,1),(1463,1),(1536,1),(1792,1),(1820,1),(1933,1),(2839,1)}
1609:{1,5,6}:{(1414,1),(1462,1),(1536,1),(1801,1),(1824,1),(1933,1)}
1610:{1,5,6}:{(1416,1),(1463,1),(1537,1),(1796,1),(1822,1),(1932,1)}
1611:{5}:{(1415,1)}
1612:{2,5}:{(1411,1),(1503,1)}
1613:{2,4,5}:{(1421,1),(1503,1),(1530,1),(1795,1),(1840,1),(1871,1)}
1614:{4,5}:{(1410,1),(1531,1),(1797,1),(1841,1)}
1615:{1,5,6}:{(1417,1),(1462,1),(1537,1),(1791,1),(1818,1),(1932,1),(2840,1)}
1616:{2,4,7}:{(1421,1),(1424,1),(1508,1),(1812,1),(1873,1)}
1617:{1,4,7}:{(1412,1),(1423,1),(1468,1),(1802,1),(1820,1)}
1618:{1,4,7}:{(1416,1),(1428,1),(1468,1),(1804,1),(1822,1),(2183,1)}
1619:{2,4,7}:{(1413,1),(1432,1),(1509,1),(1825,1),(1872,1)}
1620:{1,4,7}:{(1414,1),(1426,1),(1469,1),(1810,1),(1824,1),(2179,1)}
1621:{2,4,7}:{(1411,1),(1422,1),(1508,1),(1817,1),(1873,1)}
1622:{4,6,7}:{(1410,1),(1425,1),(1547,1),(1803,1),(1815,1),(1931,1)}
1623:{4,6,7}:{(1420,1),(1429,1),(1547,1),(1811,1),(1821,1),(1931,1),(2173,1)}
1624:{2,4,7}:{(1419,1),(1433,1),(1509,1),(1805,1),(1872,1)}
1625:{1,4,7}:{(1417,1),(1430,1),(1469,1),(1807,1),(1818,1)}
1626:{4,6,7}:{(1418,1),(1427,1),(1546,1),(1806,1),(1823,1),(1930,1)}
1627:{4,6,7}:{(1415,1),(1431,1),(1546,1),(1808,1),(1819,1),(1930,1),(2178,1)}
1628:{1,7}:{(1401,1),(1574,1),(1835,1)}
1629:{1,2}:{(1404,1),(1528,1)}
1630:{1,7}:{(1398,1),(1575,1),(1829,1)}
1631:{1,3,4,5}:{(1403,1),(1558,1),(1567,1),(1570,1),(1836,1),(1911,1),(1925,1),(1956,1),(2212,1),(2300,1)}
1632:{1,3,5}:{(1399,1),(1558,1),(1571,1),(1831,1),(1925,1)}
1633:{1,2,4}:{(1406,1),(1528,1),(1567,1),(1911,1),(1947,1),(2651,1)}
1634:{1,7}:{(1405,1),(1574,1),(1834,1),(3014,1)}
1635:{1,2,4}:{(1402,1),(1529,1),(1566,1),(1910,1),(1946,1),(2650,1)}
1636:{1,3,4,5}:{(1400,1),(1559,1),(1566,1),(1571,1),(1837,1),(1910,1),(1924,1),(1957,1),(2211,1),(2301,1)}
1637:{1,7}:{(1408,1),(1575,1),(1826,1),(3013,1)}
1638:{1,3,5}:{(1409,1),(1559,1),(1570,1),(1828,1),(1924,1)}
1639:{1,2}:{(1407,1),(1529,1)}
1640:{4,5}:{(1437,1),(1447,1),(1841,1),(1870,1)}
1641:{4,5}:{(1436,1),(1446,1),(1840,1),(1871,1)}
1642:{4,7}:{(1436,1),(1478,1),(1873,1)}
1643:{4,7}:{(1437,1),(1479,1),(1872,1)}
1644:{4}:{(1483,1)}
1645:{4}:{(1482,1)}
1646:{3,4,6,7}:{(1434,1),(1438,1),(1441,1),(1845,1),(1849,1),(1864,1),(1876,1),(1905,1),(2247,1),(2295,1)}
1647:{3,4,6,7}:{(1435,1),(1439,1),(1440,1),(1844,1),(1848,1),(1865,1),(1877,1),(1904,1),(2246,1),(2294,1)}
1648:{3,4,6}:{(1437,1),(1443,1),(1448,1),(1845,1),(1846,1),(1853,1),(1879,1),(1907,1)}
1649:{3,4,6}:{(1436,1),(1442,1),(1449,1),(1844,1),(1847,1),(1852,1),(1878,1),(1906,1)}
1650:{4,6}:{(1444,1),(1471,1),(1848,1)}
1651:{4,6}:{(1445,1),(1470,1),(1849,1)}
1652:{4}:{(1480,1)}
1653:{4}:{(1481,1)}
1654:{3,5,7}:{(1446,1),(1457,1),(1496,1),(1839,1),(1860,1),(1913,1),(2232,1),(2521,1)}
1655:{3,5,7}:{(1447,1),(1456,1),(1497,1),(1838,1),(1861,1),(1912,1),(2233,1),(2512,1)}
1656:{3,5,7}:{(1449,1),(1454,1),(1500,1),(1844,1),(1865,1),(2294,1)}
1657:{3,5,7}:{(1448,1),(1455,1),(1501,1),(1845,1),(1864,1),(2295,1)}
1658:{3,5}:{(1459,1),(1503,1),(1916,1)}
1659:{3,5}:{(1458,1),(1502,1),(1917,1)}
1660:{3,6}:{(1450,1),(1498,1),(1921,1)}
1661:{3,6}:{(1451,1),(1499,1),(1920,1)}
1662:{3,6}:{(1453,1),(1505,1)}
1663:{3,6}:{(1452,1),(1504,1)}
1664:{3,4,7}:{(1443,1),(1453,1),(1507,1),(1856,1),(1867,1),(1897,1)}
1665:{3,4,7}:{(1442,1),(1452,1),(1506,1),(1857,1),(1866,1),(1896,1)}
1666:{3,4,7}:{(1455,1),(1458,1),(1509,1),(1805,1),(1862,1),(1926,1)}
1667:{3,4,7}:{(1454,1),(1459,1),(1508,1),(1812,1),(1863,1),(1927,1)}
1668:{5,7}:{(1462,1),(1469,1),(1868,1)}
1669:{5,7}:{(1463,1),(1468,1),(1869,1)}
1670:{2,6,7}:{(1434,1),(1461,1),(1465,1),(1869,1),(1872,1),(3003,1)}
1671:{2,6,7}:{(1435,1),(1460,1),(1464,1),(1868,1),(1873,1),(2988,1)}
1672:{2,6}:{(1437,1),(1467,1),(1870,1),(1872,1)}
1673:{2,6}:{(1436,1),(1466,1),(1871,1),(1873,1)}
1674:{2,3,5,7}:{(1439,1),(1460,1),(1471,1),(1475,1),(1848,1),(1874,1),(1877,1),(1941,1),(2258,1),(2294,1)}
1675:{2,3,5,7}:{(1438,1),(1461,1),(1470,1),(1474,1),(1849,1),(1875,1),(1876,1),(1940,1),(2259,1),(2295,1)}
1676:{3,5,6}:{(1463,1),(1477,1),(1579,1),(1851,1),(1875,1),(1943,1),(1973,1)}
1677:{3,5,6}:{(1462,1),(1476,1),(1579,1),(1850,1),(1874,1),(1942,1),(1973,1)}
1678:{2,3,6}:{(1441,1),(1465,1),(1473,1),(1881,1),(1944,1),(1973,1),(3003,1)}
1679:{2,3,6}:{(1440,1),(1464,1),(1472,1),(1880,1),(1945,1),(1973,1),(2988,1)}
1680:{2,3}:{(1442,1),(1466,1),(1883,1),(1946,1)}
1681:{2,3}:{(1443,1),(1467,1),(1882,1),(1947,1)}
1682:{2,4,5,7}:{(1444,1),(1472,1),(1581,1),(1848,1),(1857,1),(1880,1),(1883,1),(1972,1),(1974,1),(2180,1),(2187,1),(2237,1),(2258,1),(2261,1),(2263,1)}
1683:{2,4,5,7}:{(1445,1),(1473,1),(1581,1),(1849,1),(1856,1),(1881,1),(1882,1),(1972,1),(1974,1),(2181,1),(2190,1),(2236,1),(2259,1),(2260,1),(2262,1)}
1684:{3,4,7}:{(1469,1),(1475,1),(1476,1),(1810,1),(1848,1),(1874,1),(1951,1),(2179,1),(2294,1)}
1685:{3,4,7}:{(1468,1),(1474,1),(1477,1),(1804,1),(1849,1),(1875,1),(1950,1),(2183,1),(2295,1)}
1686:{2,3,5}:{(1446,1),(1489,1),(1530,1),(1793,1),(1840,1),(1871,1),(1952,1),(2188,1),(2250,1)}
1687:{2,3,5}:{(1447,1),(1488,1),(1531,1),(1797,1),(1841,1),(1870,1),(1953,1),(2184,1),(2251,1)}
1688:{2,3,5,6}:{(1449,1),(1481,1),(1484,1),(1535,1),(1791,1),(1798,1),(1852,1),(1878,1),(1887,1),(1894,1),(2186,1),(2199,1),(2237,1),(2267,1),(2520,1)}
1689:{2,3,5,6}:{(1448,1),(1480,1),(1485,1),(1534,1),(1792,1),(1799,1),(1853,1),(1879,1),(1886,1),(1895,1),(2194,1),(2207,1),(2236,1),(2266,1),(2519,1)}
1690:{3,5}:{(1491,1),(1536,1),(1854,1),(2236,1)}
1691:{3,5}:{(1490,1),(1537,1),(1855,1),(2237,1)}
1692:{3,5}:{(1493,1),(1538,1),(1858,1),(1959,1)}
1693:{3,5}:{(1492,1),(1539,1),(1859,1),(1958,1)}
1694:{2,3,5,7}:{(1451,1),(1482,1),(1494,1),(1533,1),(1843,1),(1889,1),(1893,1),(1963,1),(2232,1),(2271,1),(2596,1)}
1695:{2,3,5,7}:{(1450,1),(1483,1),(1495,1),(1532,1),(1842,1),(1888,1),(1892,1),(1962,1),(2233,1),(2270,1),(2597,1)}
1696:{2,3,5,7}:{(1453,1),(1480,1),(1486,1),(1540,1),(1856,1),(1890,1),(1895,1),(1897,1),(2236,1),(2262,1),(2266,1)}
1697:{2,3,5,7}:{(1452,1),(1481,1),(1487,1),(1541,1),(1857,1),(1891,1),(1894,1),(1896,1),(2237,1),(2263,1),(2267,1)}
1698:{2,3,7}:{(1455,1),(1485,1),(1543,1),(1802,1),(2295,1)}
1699:{2,3,7}:{(1454,1),(1484,1),(1542,1),(1807,1),(2294,1)}
1700:{2,3,6,7}:{(1457,1),(1489,1),(1494,1),(1544,1),(1806,1),(1812,1),(1873,1),(1885,1),(1893,1),(1966,1),(2197,1),(2252,1)}
1701:{2,3,6,7}:{(1456,1),(1488,1),(1495,1),(1545,1),(1803,1),(1805,1),(1872,1),(1884,1),(1892,1),(1967,1),(2204,1),(2253,1)}
1702:{3,7}:{(1493,1),(1547,1),(1968,1)}
1703:{3,7}:{(1492,1),(1546,1),(1969,1)}
1704:{3,4,7}:{(1487,1),(1490,1),(1549,1),(1804,1),(1857,1),(1891,1),(2183,1),(2603,1)}
1705:{3,4,7}:{(1486,1),(1491,1),(1548,1),(1810,1),(1856,1),(1890,1),(2179,1),(2602,1)}
1706:{5,6}:{(1496,1),(1499,1),(1898,1)}
1707:{5,6}:{(1497,1),(1498,1),(1899,1)}
1708:{4,5,7}:{(1496,1),(1503,1),(1508,1),(1817,1),(1863,1),(1898,1)}
1709:{4,5,7}:{(1497,1),(1502,1),(1509,1),(1825,1),(1862,1),(1899,1)}
1710:{1,4,6,7}:{(1435,1),(1500,1),(1504,1),(1551,1),(1865,1),(1898,1),(1935,1),(2246,1),(2289,1),(2542,1)}
1711:{1,4,6,7}:{(1434,1),(1501,1),(1505,1),(1550,1),(1864,1),(1899,1),(1934,1),(2247,1),(2288,1),(2545,1)}
1712:{1,4,6}:{(1436,1),(1506,1),(1560,1),(1866,1),(1900,1),(1936,1)}
1713:{1,4,6}:{(1437,1),(1507,1),(1561,1),(1867,1),(1901,1),(1937,1)}
1714:{1,5,7}:{(1438,1),(1510,1),(1512,1),(1905,1)}
1715:{1,5,7}:{(1439,1),(1511,1),(1513,1),(1904,1)}
1716:{1,4,6}:{(1440,1),(1511,1),(1515,1),(1918,1),(1945,1),(2289,1)}
1717:{1,4,6}:{(1441,1),(1510,1),(1514,1),(1919,1),(1944,1),(2288,1)}
1718:{1,4}:{(1442,1),(1516,1),(1946,1)}
1719:{1,4}:{(1443,1),(1517,1),(1947,1)}
1720:{1,4,5}:{(1444,1),(1552,1),(1585,1),(1908,1),(1910,1),(1924,1)}
1721:{1,4,5}:{(1445,1),(1553,1),(1585,1),(1909,1),(1911,1),(1925,1)}
1722:{1,5}:{(1446,1),(1524,1)}
1723:{1,5}:{(1447,1),(1525,1)}
1724:{1,3,5,6}:{(1448,1),(1510,1),(1517,1),(1520,1),(1907,1),(1915,1),(1917,1),(1919,1),(2288,1),(2292,1)}
1725:{1,3,5,6}:{(1449,1),(1511,1),(1516,1),(1521,1),(1906,1),(1914,1),(1916,1),(1918,1),(2289,1),(2293,1)}
1726:{1,3,5,7}:{(1453,1),(1514,1),(1517,1),(1522,1),(1919,1),(1922,1),(1925,1),(2292,1),(2295,1),(2551,1)}
1727:{1,3,5,7}:{(1452,1),(1515,1),(1516,1),(1523,1),(1918,1),(1923,1),(1924,1),(2293,1),(2294,1),(2548,1)}
1728:{1,4,5,7}:{(1451,1),(1519,1),(1526,1),(1839,1),(1843,1),(1913,1),(1920,1),(1963,1),(2232,1),(2275,1),(2604,1)}
1729:{1,4,5,7}:{(1450,1),(1518,1),(1527,1),(1838,1),(1842,1),(1912,1),(1921,1),(1962,1),(2233,1),(2274,1),(2605,1)}
1730:{1,3,7}:{(1455,1),(1512,1),(1520,1),(1926,1)}
1731:{1,3,7}:{(1454,1),(1513,1),(1521,1),(1927,1)}
1732:{1,4,6,7}:{(1456,1),(1525,1),(1527,1),(1563,1),(1912,1),(1921,1),(1926,1),(1967,1),(2274,1),(2288,1),(2546,1)}
1733:{1,4,6,7}:{(1457,1),(1524,1),(1526,1),(1562,1),(1913,1),(1920,1),(1927,1),(1966,1),(2275,1),(2289,1),(2536,1)}
1734:{1,4,6}:{(1459,1),(1521,1),(1529,1),(1827,1),(1916,1),(1927,1),(2218,1),(2289,1)}
1735:{1,4,6}:{(1458,1),(1520,1),(1528,1),(1833,1),(1917,1),(1926,1),(2217,1),(2288,1)}
1736:{2,6}:{(1499,1),(1533,1),(1930,1)}
1737:{2,6}:{(1498,1),(1532,1),(1931,1)}
1738:{2,5,7}:{(1497,1),(1531,1),(1545,1),(1815,1),(1928,1),(2233,1)}
1739:{2,5,7}:{(1496,1),(1530,1),(1544,1),(1823,1),(1929,1),(2232,1)}
1740:{1,2,5,7}:{(1460,1),(1500,1),(1535,1),(1542,1),(1817,1),(1818,1),(1873,1),(1887,1),(1935,1),(2313,1)}
1741:{1,2,5,7}:{(1461,1),(1501,1),(1534,1),(1543,1),(1820,1),(1825,1),(1872,1),(1886,1),(1934,1),(2312,1)}
1742:{4,5,7}:{(1532,1),(1538,1),(1547,1),(1821,1),(1842,1),(1888,1),(1931,1),(2173,1),(2233,1),(2516,1)}
1743:{4,5,7}:{(1533,1),(1539,1),(1546,1),(1819,1),(1843,1),(1889,1),(1930,1),(2178,1),(2232,1),(2518,1)}
1744:{1,5,7}:{(1536,1),(1548,1),(1578,1),(1890,1),(1933,1),(2839,1),(2981,1)}
1745:{1,5,7}:{(1537,1),(1549,1),(1578,1),(1891,1),(1932,1),(2840,1),(2983,1)}
1746:{1,2,6}:{(1465,1),(1505,1),(1540,1),(1895,1),(1933,1)}
1747:{1,2,6}:{(1464,1),(1504,1),(1541,1),(1894,1),(1932,1)}
1748:{1,2,7}:{(1467,1),(1507,1),(1872,1),(1897,1),(1937,1),(1947,1),(2981,1)}
1749:{1,2,7}:{(1466,1),(1506,1),(1873,1),(1896,1),(1936,1),(1946,1),(2983,1)}
1750:{1,2,5,6}:{(1470,1),(1510,1),(1553,1),(1555,1),(1909,1),(1940,1),(1943,1),(1944,1)}
1751:{1,2,5,6}:{(1471,1),(1511,1),(1552,1),(1554,1),(1908,1),(1941,1),(1942,1),(1945,1)}
1752:{1,2,5,7}:{(1473,1),(1514,1),(1553,1),(1556,1),(1944,1),(1947,1),(1979,1),(2312,1),(2315,1)}
1753:{1,2,5,7}:{(1472,1),(1515,1),(1552,1),(1557,1),(1945,1),(1946,1),(1979,1),(2313,1),(2314,1)}
1754:{1,2,7}:{(1475,1),(1513,1),(1554,1),(1951,1)}
1755:{1,2,7}:{(1474,1),(1512,1),(1555,1),(1950,1)}
1756:{1,4,6}:{(1476,1),(1554,1),(1559,1),(1828,1),(1942,1),(1951,1)}
1757:{1,4,6}:{(1477,1),(1555,1),(1558,1),(1831,1),(1943,1),(1950,1)}
1758:{1,3,5,6,7}:{(1479,1),(1550,1),(1561,1),(1563,1),(1861,1),(1864,1),(1903,1),(1912,1),(1915,1),(2249,1),(2288,1),(2612,1)}
1759:{1,3,5,6,7}:{(1478,1),(1551,1),(1560,1),(1562,1),(1860,1),(1865,1),(1902,1),(1913,1),(1914,1),(2248,1),(2289,1),(2613,1)}
1760:{1,2,3,5}:{(1481,1),(1516,1),(1552,1),(1564,1),(1910,1),(1924,1),(1946,1),(1957,1),(2323,1),(2339,1),(2346,1)}
1761:{1,2,3,5}:{(1480,1),(1517,1),(1553,1),(1565,1),(1911,1),(1925,1),(1947,1),(1956,1),(2322,1),(2338,1),(2346,1)}
1762:{1,2,5}:{(1482,1),(1519,1),(1569,1),(1871,1),(1938,1),(1958,1)}
1763:{1,2,5}:{(1483,1),(1518,1),(1568,1),(1870,1),(1939,1),(1959,1)}
1764:{1,2,3,6}:{(1484,1),(1521,1),(1554,1),(1566,1),(1832,1),(1837,1),(1965,1),(2572,1),(2574,1)}
1765:{1,2,3,6}:{(1485,1),(1520,1),(1555,1),(1567,1),(1830,1),(1836,1),(1964,1),(2578,1),(2581,1)}
1766:{1,2,3,7}:{(1487,1),(1523,1),(1557,1),(1564,1),(1971,1),(1982,1),(2294,1),(2568,1),(2574,1)}
1767:{1,2,3,7}:{(1486,1),(1522,1),(1556,1),(1565,1),(1970,1),(1982,1),(2295,1),(2561,1),(2578,1)}
1768:{1,2,6}:{(1489,1),(1524,1),(1573,1),(1835,1),(1952,1)}
1769:{1,2,6}:{(1488,1),(1525,1),(1572,1),(1829,1),(1953,1)}
1770:{1,3,4,6}:{(1491,1),(1565,1),(1570,1),(1589,1),(1828,1),(1911,1),(1956,1),(1970,1),(1978,1),(2214,1),(2284,1),(2331,1)}
1771:{1,3,4,6}:{(1490,1),(1564,1),(1571,1),(1589,1),(1831,1),(1910,1),(1957,1),(1971,1),(1978,1),(2210,1),(2285,1),(2330,1)}
1772:{1,6}:{(1492,1),(1574,1),(1958,1),(1969,1)}
1773:{1,6}:{(1493,1),(1575,1),(1959,1),(1968,1)}
1774:{1,2,7}:{(1494,1),(1526,1),(1569,1),(1873,1),(1969,1),(3012,1)}
1775:{1,2,7}:{(1495,1),(1527,1),(1568,1),(1872,1),(1968,1),(2993,1)}
1776:{4,5}:{(1576,1),(1579,1),(1974,1),(2236,1),(2237,1)}
1777:{4,7}:{(1576,1),(1583,1)}
1778:{6}:{(1578,1)}
1779:{3,5,7}:{(1578,1),(1579,1),(1582,1),(1972,1),(1973,1),(1979,1)}
1780:{2,4,6}:{(1576,1),(1580,1),(1581,1),(1882,1),(1883,1),(1974,1),(2189,1),(2193,1)}
1781:{2,3,6,7}:{(1577,1),(1580,1),(1583,1),(1587,1),(1894,1),(1895,1),(1896,1),(1897,1),(1973,1),(1975,1),(2203,1),(2206,1)}
1782:{1,4,6}:{(1576,1),(1585,1),(1590,1),(1910,1),(1911,1),(1976,1),(1977,1),(1978,1),(2622,1),(2623,1)}
1783:{1,3,4,6,7}:{(1577,1),(1584,1),(1586,1),(1904,1),(1905,1),(1918,1),(1919,1),(1922,1),(1923,1),(1977,1),(1978,1),(1981,1),(2284,1),(2285,1),(2294,1),(2295,1),(2620,1),(2621,1)}
1784:{3}:{(1585,1)}
1785:{1,5}:{(1579,1),(1589,1)}
1786:{1,2,6}:{(1580,1),(1584,1),(1588,1),(1946,1),(1947,1),(2988,1),(3003,1)}
1787:{1,2,4,7}:{(1581,1),(1585,1),(1588,1),(1977,1),(1980,1),(1982,1),(2561,1),(2568,1),(2829,1),(2833,1)}
1788:{1,4,7}:{(1582,1),(1589,1),(1591,1),(1979,1)}
1789:{1,2,3,5,7}:{(1583,1),(1586,1),(1588,1),(1590,1),(1591,1),(1940,1),(1941,1),(1977,1),(1979,1),(1981,1),(1982,1),(2221,1),(2222,1),(2294,1),(2295,1),(2344,1),(2345,1),(2346,1),(2561,1),(2568,1),(2640,1),(2641,1)}
1790:{3,5}:{(1602,1),(1611,1),(1984,1),(2023,1),(2388,1)}
1791:{3,5,6}:{(1592,1),(1615,1),(1691,1),(1990,1),(1997,1),(2092,1),(2741,1)}
1792:{3,5,6}:{(1596,1),(1608,1),(1690,1),(1994,1),(1996,1),(2091,1),(2740,1)}
1793:{3,5}:{(1594,1),(1606,1),(1988,1),(2027,1)}
1794:{3,5}:{(1595,1),(1604,1),(1992,1),(2021,1),(2384,1)}
1795:{2,3,5}:{(1597,1),(1613,1),(1658,1),(1993,1),(2022,1)}
1796:{3,5,6}:{(1599,1),(1610,1),(1691,1),(1985,1),(2003,1),(2092,1),(2427,1)}
1797:{3,5}:{(1600,1),(1614,1),(1987,1),(2026,1)}
1798:{2,3,5}:{(1593,1),(1612,1),(1658,1),(1991,1),(2030,1),(2391,1)}
1799:{2,3,5}:{(1603,1),(1605,1),(1659,1),(1986,1),(2029,1),(2389,1)}
1800:{2,3,5}:{(1598,1),(1607,1),(1659,1),(1983,1),(2028,1)}
1801:{3,5,6}:{(1601,1),(1609,1),(1690,1),(1989,1),(2004,1),(2091,1),(2426,1)}
1802:{3,4,7}:{(1596,1),(1617,1),(1698,1),(1996,1),(2053,1)}
1803:{3,6,7}:{(1600,1),(1622,1),(1702,1),(1999,1),(2041,1),(2089,1)}
1804:{3,7}:{(1599,1),(1618,1)}
1805:{2,3,7}:{(1598,1),(1624,1),(1666,1),(2034,1)}
1806:{3,6,7}:{(1594,1),(1626,1),(1703,1),(2006,1),(2039,1),(2090,1)}
1807:{3,4,7}:{(1592,1),(1625,1),(1699,1),(1997,1),(2054,1)}
1808:{3,6,7}:{(1602,1),(1627,1),(1703,1),(2005,1),(2035,1),(2090,1)}
1809:{2,3,4,7}:{(1593,1),(1621,1),(1667,1),(1699,1),(1998,1),(2033,1),(2054,1),(2073,1),(2470,1)}
1810:{3,7}:{(1601,1),(1620,1)}
1811:{3,6,7}:{(1595,1),(1623,1),(1702,1),(1995,1),(2032,1),(2089,1)}
1812:{2,3,7}:{(1597,1),(1616,1),(1667,1),(2037,1)}
1813:{2,3,4,7}:{(1603,1),(1619,1),(1666,1),(1698,1),(2002,1),(2040,1),(2053,1),(2074,1),(2471,1)}
1814:{2,4,5,7}:{(1607,1),(1624,1),(1709,1),(1738,1),(2001,1),(2010,1),(2046,1),(2068,1),(2421,1)}
1815:{4,5,7}:{(1614,1),(1622,1),(1738,1),(1999,1),(2011,1),(2046,1)}
1816:{2,4,5,7}:{(1613,1),(1616,1),(1708,1),(1739,1),(2000,1),(2015,1),(2045,1),(2067,1),(2420,1)}
1817:{2,5,7}:{(1612,1),(1621,1),(1708,1),(2007,1)}
1818:{1,5,7}:{(1615,1),(1625,1),(1668,1),(1997,1),(2009,1)}
1819:{5,7}:{(1611,1),(1627,1),(2018,1)}
1820:{1,5,7}:{(1608,1),(1617,1),(1669,1),(1996,1),(2013,1)}
1821:{5,7}:{(1604,1),(1623,1),(2008,1)}
1822:{1,5,7}:{(1610,1),(1618,1),(1669,1),(2003,1),(2014,1)}
1823:{4,5,7}:{(1606,1),(1626,1),(1739,1),(2006,1),(2012,1),(2045,1)}
1824:{1,5,7}:{(1609,1),(1620,1),(1668,1),(2004,1),(2016,1)}
1825:{2,5,7}:{(1605,1),(1619,1),(1709,1),(2017,1)}
1826:{1,6}:{(1595,1),(1637,1),(2021,1),(2950,1)}
1827:{1,2,6}:{(1597,1),(1639,1),(1734,1),(2022,1),(2037,1)}
1828:{1,3,6}:{(1601,1),(1638,1),(1756,1),(2036,1),(2128,1)}
1829:{1,6}:{(1600,1),(1630,1),(2026,1)}
1830:{1,2,4,6}:{(1603,1),(1633,1),(1735,1),(1765,1),(2029,1),(2040,1),(2111,1),(2141,1),(2400,1),(2416,1),(2724,1)}
1831:{1,3,6}:{(1599,1),(1632,1),(1757,1),(2031,1),(2127,1)}
1832:{1,2,4,6}:{(1593,1),(1635,1),(1734,1),(1764,1),(2030,1),(2033,1),(2112,1),(2142,1),(2402,1),(2408,1),(2715,1)}
1833:{1,2,6}:{(1598,1),(1629,1),(1735,1),(2028,1),(2034,1)}
1834:{1,6}:{(1602,1),(1634,1),(2023,1),(2953,1)}
1835:{1,6}:{(1594,1),(1628,1),(2027,1)}
1836:{1,3,4,6}:{(1596,1),(1631,1),(1757,1),(1765,1),(2025,1),(2042,1),(2111,1),(2127,1),(2386,1),(2720,1)}
1837:{1,3,4,6}:{(1592,1),(1636,1),(1756,1),(1764,1),(2019,1),(2038,1),(2112,1),(2128,1),(2395,1),(2714,1)}
1838:{4,5,7}:{(1640,1),(1643,1),(1655,1),(2043,1),(2046,1),(2068,1),(2421,1)}
1839:{4,5,7}:{(1641,1),(1642,1),(1654,1),(2044,1),(2045,1),(2067,1),(2420,1)}
1840:{4}:{(1686,1)}
1841:{4}:{(1687,1)}
1842:{4,7}:{(1644,1),(1695,1),(2047,1),(2727,1)}
1843:{4,7}:{(1645,1),(1694,1),(2048,1),(2726,1)}
1844:{3,4,7}:{(1642,1),(1649,1),(1656,1),(2054,1),(2073,1),(2103,1)}
1845:{3,4,7}:{(1643,1),(1648,1),(1657,1),(2053,1),(2074,1),(2104,1)}
1846:{3,4,5}:{(1640,1),(1648,1),(1659,1),(1983,1),(1986,1),(2063,1),(2076,1),(2106,1),(2389,1),(2434,1),(2717,1)}
1847:{3,4,5}:{(1641,1),(1649,1),(1658,1),(1991,1),(1993,1),(2064,1),(2075,1),(2105,1),(2391,1),(2435,1),(2718,1)}
1848:{4,7}:{(1650,1),(1674,1)}
1849:{4,7}:{(1651,1),(1675,1)}
1850:{4,5,6}:{(1650,1),(1677,1),(1776,1),(1989,1),(2052,1),(2079,1),(2163,1),(2426,1)}
1851:{4,5,6}:{(1651,1),(1676,1),(1776,1),(1985,1),(2051,1),(2080,1),(2163,1),(2427,1)}
1852:{4,6}:{(1653,1),(1688,1),(1991,1),(2054,1),(2435,1)}
1853:{4,6}:{(1652,1),(1689,1),(1986,1),(2053,1),(2434,1)}
1854:{4,5}:{(1652,1),(1690,1),(1989,1),(2084,1)}
1855:{4,5}:{(1653,1),(1691,1),(1985,1),(2083,1)}
1856:{4,7}:{(1652,1),(1696,1),(2058,1),(2434,1)}
1857:{4,7}:{(1653,1),(1697,1),(2057,1),(2435,1)}
1858:{3,4}:{(1644,1),(1692,1),(1992,1),(2097,1),(2118,1),(2384,1)}
1859:{3,4}:{(1645,1),(1693,1),(1984,1),(2098,1),(2117,1),(2388,1)}
1860:{3,5,6}:{(1654,1),(1661,1),(1706,1),(2044,1),(2062,1),(2119,1)}
1861:{3,5,6}:{(1655,1),(1660,1),(1707,1),(2043,1),(2061,1),(2120,1)}
1862:{3,5,7}:{(1659,1),(1666,1),(1709,1),(2061,1),(2121,1)}
1863:{3,5,7}:{(1658,1),(1667,1),(1708,1),(2062,1),(2122,1)}
1864:{3,6,7}:{(1657,1),(1662,1),(1711,1),(2061,1),(2679,1)}
1865:{3,6,7}:{(1656,1),(1663,1),(1710,1),(2062,1),(2682,1)}
1866:{3,4,6}:{(1663,1),(1665,1),(1712,1),(2057,1),(2064,1),(2096,1),(2435,1)}
1867:{3,4,6}:{(1662,1),(1664,1),(1713,1),(2058,1),(2063,1),(2095,1),(2434,1)}
1868:{6,7}:{(1668,1),(1778,1)}
1869:{6,7}:{(1669,1),(1778,1)}
1870:{2,5}:{(1640,1),(1672,1),(2069,1)}
1871:{2,5}:{(1641,1),(1673,1),(2070,1)}
1872:{2,7}:{(1643,1),(1672,1)}
1873:{2,7}:{(1642,1),(1673,1)}
1874:{3,5,7}:{(1668,1),(1677,1),(1684,1),(2052,1),(2072,1),(2138,1)}
1875:{3,5,7}:{(1669,1),(1676,1),(1685,1),(2051,1),(2071,1),(2137,1)}
1876:{2,3,6,7}:{(1646,1),(1670,1),(1675,1),(1678,1),(2071,1),(2074,1),(2078,1),(2140,1)}
1877:{2,3,6,7}:{(1647,1),(1671,1),(1674,1),(1679,1),(2072,1),(2073,1),(2077,1),(2139,1)}
1878:{2,3,6}:{(1649,1),(1673,1),(1680,1),(2073,1),(2075,1),(2082,1),(2142,1)}
1879:{2,3,6}:{(1648,1),(1672,1),(1681,1),(2074,1),(2076,1),(2081,1),(2141,1)}
1880:{2,4,6}:{(1650,1),(1679,1),(1682,1),(2057,1),(2079,1),(2163,1),(2354,1),(2443,1)}
1881:{2,4,6}:{(1651,1),(1678,1),(1683,1),(2058,1),(2080,1),(2163,1),(2359,1),(2442,1)}
1882:{2,4}:{(1652,1),(1681,1),(2084,1)}
1883:{2,4}:{(1653,1),(1680,1),(2083,1)}
1884:{2,3,5,7}:{(1655,1),(1687,1),(1701,1),(1738,1),(1999,1),(2046,1),(2068,1),(2088,1),(2147,1),(2360,1),(2431,1)}
1885:{2,3,5,7}:{(1654,1),(1686,1),(1700,1),(1739,1),(2006,1),(2045,1),(2067,1),(2087,1),(2148,1),(2365,1),(2430,1)}
1886:{2,3,5,7}:{(1657,1),(1689,1),(1698,1),(1741,1),(1996,1),(2053,1),(2074,1),(2093,1),(2367,1),(2424,1)}
1887:{2,3,5,7}:{(1656,1),(1688,1),(1699,1),(1740,1),(1997,1),(2054,1),(2073,1),(2094,1),(2366,1),(2425,1)}
1888:{3,5,7}:{(1692,1),(1702,1),(1742,1),(2059,1),(2089,1),(2152,1),(2423,1)}
1889:{3,5,7}:{(1693,1),(1703,1),(1743,1),(2060,1),(2090,1),(2151,1),(2422,1)}
1890:{3,5,7}:{(1690,1),(1705,1),(1744,1),(2055,1),(2091,1),(2740,1),(2886,1)}
1891:{3,5,7}:{(1691,1),(1704,1),(1745,1),(2056,1),(2092,1),(2741,1),(2882,1)}
1892:{2,3,6}:{(1660,1),(1695,1),(1737,1),(2047,1),(2089,1),(2158,1)}
1893:{2,3,6}:{(1661,1),(1694,1),(1736,1),(2048,1),(2090,1),(2157,1)}
1894:{2,3,6}:{(1663,1),(1697,1),(1747,1),(2057,1),(2092,1),(2443,1)}
1895:{2,3,6}:{(1662,1),(1696,1),(1746,1),(2058,1),(2091,1),(2442,1)}
1896:{2,3,7}:{(1665,1),(1680,1),(1749,1),(2085,1),(2096,1),(2882,1)}
1897:{2,3,7}:{(1664,1),(1681,1),(1748,1),(2086,1),(2095,1),(2886,1)}
1898:{4,6}:{(1706,1),(1708,1),(2007,1),(2062,1)}
1899:{4,6}:{(1707,1),(1709,1),(2017,1),(2061,1)}
1900:{1,4,5}:{(1641,1),(1712,1),(1722,1),(2064,1),(2102,1),(2132,1),(2435,1)}
1901:{1,4,5}:{(1640,1),(1713,1),(1723,1),(2063,1),(2101,1),(2131,1),(2434,1)}
1902:{1,4,6,7}:{(1642,1),(1712,1),(1759,1),(2044,1),(2066,1),(2100,1),(2103,1),(2133,1),(2457,1)}
1903:{1,4,6,7}:{(1643,1),(1713,1),(1758,1),(2043,1),(2065,1),(2099,1),(2104,1),(2134,1),(2456,1)}
1904:{1,4,6,7}:{(1647,1),(1715,1),(1716,1),(2103,1),(2108,1),(2123,1),(2139,1)}
1905:{1,4,6,7}:{(1646,1),(1714,1),(1717,1),(2104,1),(2107,1),(2124,1),(2140,1)}
1906:{1,4,6}:{(1649,1),(1718,1),(1725,1),(2103,1),(2105,1),(2142,1)}
1907:{1,4,6}:{(1648,1),(1719,1),(1724,1),(2104,1),(2106,1),(2141,1)}
1908:{1,4,6}:{(1650,1),(1720,1),(1751,1),(2108,1),(2128,1)}
1909:{1,4,6}:{(1651,1),(1721,1),(1750,1),(2107,1),(2127,1)}
1910:{1,4}:{(1653,1),(1760,1),(2130,1),(2509,1)}
1911:{1,4}:{(1652,1),(1761,1),(2129,1),(2509,1)}
1912:{1,5,7}:{(1655,1),(1723,1),(1732,1),(2120,1),(2666,1)}
1913:{1,5,7}:{(1654,1),(1722,1),(1733,1),(2119,1),(2677,1)}
1914:{1,3,5,7}:{(1656,1),(1715,1),(1725,1),(1731,1),(2103,1),(2122,1),(2123,1)}
1915:{1,3,5,7}:{(1657,1),(1714,1),(1724,1),(1730,1),(2104,1),(2121,1),(2124,1)}
1916:{1,5}:{(1658,1),(1734,1)}
1917:{1,5}:{(1659,1),(1735,1)}
1918:{1,3,6}:{(1663,1),(1716,1),(1727,1),(2128,1),(2682,1)}
1919:{1,3,6}:{(1662,1),(1717,1),(1726,1),(2127,1),(2679,1)}
1920:{1,4,6}:{(1661,1),(1728,1),(2044,1),(2048,1),(2119,1),(2157,1)}
1921:{1,4,6}:{(1660,1),(1729,1),(2043,1),(2047,1),(2120,1),(2158,1)}
1922:{1,3,4,7}:{(1664,1),(1719,1),(1726,1),(2104,1),(2115,1),(2125,1),(2129,1),(2160,1),(2471,1)}
1923:{1,3,4,7}:{(1665,1),(1718,1),(1727,1),(2103,1),(2116,1),(2126,1),(2130,1),(2159,1),(2470,1)}
1924:{3,5}:{(1720,1),(1784,1),(2128,1),(2130,1)}
1925:{3,5}:{(1721,1),(1784,1),(2127,1),(2129,1)}
1926:{1,4,7}:{(1666,1),(1730,1),(1735,1),(2034,1),(2121,1)}
1927:{1,4,7}:{(1667,1),(1731,1),(1734,1),(2037,1),(2122,1)}
1928:{2,5,6}:{(1707,1),(1737,1),(1738,1),(2010,1),(2011,1),(2662,1)}
1929:{2,5,6}:{(1706,1),(1736,1),(1739,1),(2012,1),(2015,1),(2654,1)}
1930:{4,6}:{(1736,1),(1743,1),(2018,1),(2090,1)}
1931:{4,6}:{(1737,1),(1742,1),(2008,1),(2089,1)}
1932:{1,6}:{(1745,1),(1778,1),(2092,1)}
1933:{1,6}:{(1744,1),(1778,1),(2091,1)}
1934:{1,2,6,7}:{(1670,1),(1711,1),(1741,1),(1746,1),(2013,1),(2017,1),(2093,1),(2416,1)}
1935:{1,2,6,7}:{(1671,1),(1710,1),(1740,1),(1747,1),(2007,1),(2009,1),(2094,1),(2408,1)}
1936:{1,2,6}:{(1673,1),(1712,1),(1749,1),(2096,1),(2132,1),(2954,1)}
1937:{1,2,6}:{(1672,1),(1713,1),(1748,1),(2095,1),(2131,1),(2951,1)}
1938:{1,2,4}:{(1645,1),(1762,1),(2070,1),(2098,1),(2102,1),(2117,1),(2404,1)}
1939:{1,2,4}:{(1644,1),(1763,1),(2069,1),(2097,1),(2101,1),(2118,1),(2403,1)}
1940:{1,2,5,7}:{(1675,1),(1714,1),(1750,1),(1755,1),(2107,1),(2137,1),(2140,1)}
1941:{1,2,5,7}:{(1674,1),(1715,1),(1751,1),(1754,1),(2108,1),(2138,1),(2139,1)}
1942:{1,5,6}:{(1677,1),(1756,1),(1785,1),(2138,1),(2168,1)}
1943:{1,5,6}:{(1676,1),(1757,1),(1785,1),(2137,1),(2168,1)}
1944:{1,2,6}:{(1678,1),(1717,1),(1752,1),(2168,1)}
1945:{1,2,6}:{(1679,1),(1716,1),(1753,1),(2168,1)}
1946:{1,2}:{(1680,1),(1718,1)}
1947:{1,2}:{(1681,1),(1719,1)}
1948:{1,2,4,5,7}:{(1683,1),(1721,1),(1752,1),(1787,1),(2107,1),(2115,1),(2143,1),(2145,1),(2161,1),(2165,1),(2169,1),(2375,1),(2397,1),(2455,1),(2485,1),(2486,1),(2488,1),(2509,1),(2746,1),(2749,1),(2772,1),(2947,1)}
1949:{1,2,4,5,7}:{(1682,1),(1720,1),(1753,1),(1787,1),(2108,1),(2116,1),(2144,1),(2146,1),(2162,1),(2165,1),(2169,1),(2378,1),(2398,1),(2454,1),(2484,1),(2487,1),(2489,1),(2509,1),(2747,1),(2748,1),(2773,1),(2945,1)}
1950:{1,4,7}:{(1685,1),(1755,1),(1757,1),(2031,1),(2137,1)}
1951:{1,4,7}:{(1684,1),(1754,1),(1756,1),(2036,1),(2138,1)}
1952:{1,2,5}:{(1686,1),(1722,1),(1768,1),(2027,1),(2102,1),(2404,1)}
1953:{1,2,5}:{(1687,1),(1723,1),(1769,1),(2026,1),(2101,1),(2403,1)}
1954:{1,2,3,5,6}:{(1689,1),(1724,1),(1750,1),(1761,1),(1765,1),(2025,1),(2029,1),(2111,1),(2127,1),(2141,1),(2149,1),(2156,1),(2389,1),(2407,1),(2416,1),(2455,1),(2495,1),(2499,1),(2500,1),(2667,1),(2679,1)}
1955:{1,2,3,5,6}:{(1688,1),(1725,1),(1751,1),(1760,1),(1764,1),(2019,1),(2030,1),(2112,1),(2128,1),(2142,1),(2150,1),(2155,1),(2391,1),(2399,1),(2408,1),(2454,1),(2494,1),(2498,1),(2501,1),(2668,1),(2682,1)}
1956:{1,3,5}:{(1690,1),(1770,1),(1785,1),(2114,1),(2166,1),(2455,1)}
1957:{1,3,5}:{(1691,1),(1771,1),(1785,1),(2113,1),(2166,1),(2454,1)}
1958:{1,5}:{(1693,1),(1772,1),(2117,1)}
1959:{1,5}:{(1692,1),(1773,1),(2118,1)}
1960:{1,2,3,5,7}:{(1697,1),(1727,1),(1753,1),(1760,1),(1766,1),(2116,1),(2153,1),(2155,1),(2159,1),(2162,1),(2454,1),(2489,1),(2494,1)}
1961:{1,2,3,5,7}:{(1696,1),(1726,1),(1752,1),(1761,1),(1767,1),(2115,1),(2154,1),(2156,1),(2160,1),(2161,1),(2455,1),(2488,1),(2495,1)}
1962:{1,2,5,7}:{(1695,1),(1729,1),(1763,1),(1775,1),(2068,1),(2136,1),(2152,1),(2158,1),(2476,1)}
1963:{1,2,5,7}:{(1694,1),(1728,1),(1762,1),(1774,1),(2067,1),(2135,1),(2151,1),(2157,1),(2477,1)}
1964:{1,2,3,7}:{(1698,1),(1730,1),(1755,1),(1765,1),(2040,1),(2042,1),(2710,1)}
1965:{1,2,3,7}:{(1699,1),(1731,1),(1754,1),(1764,1),(2033,1),(2038,1),(2702,1)}
1966:{1,2,6,7}:{(1700,1),(1733,1),(1768,1),(1774,1),(2037,1),(2039,1),(2148,1),(2157,1),(2417,1)}
1967:{1,2,6,7}:{(1701,1),(1732,1),(1769,1),(1775,1),(2034,1),(2041,1),(2147,1),(2158,1),(2411,1)}
1968:{1,7}:{(1702,1),(1773,1)}
1969:{1,7}:{(1703,1),(1772,1)}
1970:{1,3,4,7}:{(1705,1),(1767,1),(1770,1),(1788,1),(2036,1),(2115,1),(2154,1),(2167,1),(2381,1),(2720,1)}
1971:{1,3,4,7}:{(1704,1),(1766,1),(1771,1),(1788,1),(2031,1),(2116,1),(2153,1),(2167,1),(2374,1),(2714,1)}
1972:{4,5,7}:{(1776,1),(1777,1),(1779,1),(2163,1),(2164,1)}
1973:{3,6}:{(1778,1),(1779,1),(2163,1),(2168,1)}
1974:{2,5}:{(1776,1),(1780,1)}
1975:{2,4,6,7}:{(1777,1),(1780,1),(1781,1),(2057,1),(2058,1),(2085,1),(2086,1),(2163,1),(2164,1),(2349,1),(2356,1),(2364,1),(2369,1),(2442,1),(2443,1)}
1976:{1,4,5}:{(1776,1),(1782,1),(1785,1),(2166,1),(2169,1),(2454,1),(2455,1),(2509,1),(2748,1),(2749,1)}
1977:{1,4,7}:{(1777,1),(1782,1),(1789,1),(2167,1),(2509,1),(2746,1),(2747,1)}
1978:{3,4,6}:{(1782,1),(1784,1),(2127,1),(2128,1),(2129,1),(2130,1),(2166,1),(2167,1),(2171,1),(2508,1),(2509,1)}
1979:{1,5,7}:{(1779,1),(1785,1),(1788,1),(2168,1)}
1980:{1,2,4,6}:{(1780,1),(1782,1),(1786,1),(1787,1),(2145,1),(2146,1),(2169,1),(2171,1),(2396,1),(2405,1),(2509,1),(2715,1),(2724,1)}
1981:{1,2,3,6,7}:{(1781,1),(1783,1),(1786,1),(1789,1),(2139,1),(2140,1),(2155,1),(2156,1),(2159,1),(2160,1),(2168,1),(2170,1),(2171,1),(2413,1),(2419,1),(2496,1),(2497,1),(2508,1)}
1982:{2,3,7}:{(1784,1),(1787,1),(2167,1),(2171,1)}
1983:{3,4}:{(1800,1),(1841,1),(2217,1),(2251,1)}
1984:{4}:{(1790,1),(2192,1)}
1985:{4,6}:{(1796,1),(1855,1),(2183,1),(2193,1)}
1986:{4,5}:{(1799,1),(1853,1),(2236,1)}
1987:{3,4}:{(1797,1),(1841,1),(2184,1),(2208,1),(2251,1)}
1988:{3,4}:{(1793,1),(1840,1),(2188,1),(2215,1),(2250,1)}
1989:{4,6}:{(1801,1),(1854,1),(2179,1),(2189,1)}
1990:{4,5,6}:{(1791,1),(1852,1),(1855,1),(2176,1),(2186,1),(2237,1),(2242,1),(2520,1),(2591,1)}
1991:{4,5}:{(1798,1),(1852,1),(2237,1)}
1992:{4}:{(1794,1),(2195,1)}
1993:{3,4}:{(1795,1),(1840,1),(2218,1),(2250,1)}
1994:{4,5,6}:{(1792,1),(1853,1),(1854,1),(2182,1),(2194,1),(2236,1),(2243,1),(2519,1),(2590,1)}
1995:{3,5,7}:{(1794,1),(1811,1),(1821,1),(2173,1),(2200,1),(2224,1),(2555,1)}
1996:{3,5,7}:{(1792,1),(1802,1),(1820,1),(2182,1),(2202,1)}
1997:{3,5,7}:{(1791,1),(1807,1),(1818,1),(2176,1),(2205,1)}
1998:{2,3,5,7}:{(1798,1),(1809,1),(1817,1),(1863,1),(2180,1),(2199,1),(2226,1),(2548,1)}
1999:{3,5,7}:{(1797,1),(1803,1),(1815,1),(2175,1),(2196,1),(2227,1)}
2000:{2,3,5,7}:{(1795,1),(1812,1),(1816,1),(1863,1),(2172,1),(2197,1),(2225,1),(2521,1)}
2001:{2,3,5,7}:{(1800,1),(1805,1),(1814,1),(1862,1),(2177,1),(2204,1),(2229,1),(2512,1)}
2002:{2,3,5,7}:{(1799,1),(1813,1),(1825,1),(1862,1),(2181,1),(2207,1),(2220,1),(2551,1)}
2003:{3,5,7}:{(1796,1),(1804,1),(1822,1),(2183,1),(2203,1),(2514,1)}
2004:{3,5,7}:{(1801,1),(1810,1),(1824,1),(2179,1),(2206,1),(2515,1)}
2005:{3,5,7}:{(1790,1),(1808,1),(1819,1),(2178,1),(2201,1),(2231,1),(2559,1)}
2006:{3,5,7}:{(1793,1),(1806,1),(1823,1),(2174,1),(2198,1),(2230,1)}
2007:{2,6}:{(1817,1),(1898,1)}
2008:{5,6}:{(1821,1),(1931,1),(2233,1)}
2009:{1,6,7}:{(1818,1),(1868,1),(1932,1),(2205,1)}
2010:{2,4,6}:{(1814,1),(1899,1),(1928,1),(2204,1),(2235,1),(2253,1),(2775,1)}
2011:{4,5,6}:{(1815,1),(1928,1),(1931,1),(2196,1),(2233,1),(2235,1),(2516,1)}
2012:{4,5,6}:{(1823,1),(1929,1),(1930,1),(2198,1),(2232,1),(2234,1),(2518,1)}
2013:{1,6,7}:{(1820,1),(1869,1),(1933,1),(2202,1)}
2014:{1,6,7}:{(1822,1),(1869,1),(1932,1),(2203,1),(2983,1)}
2015:{2,4,6}:{(1816,1),(1898,1),(1929,1),(2197,1),(2234,1),(2252,1),(2782,1)}
2016:{1,6,7}:{(1824,1),(1868,1),(1933,1),(2206,1),(2981,1)}
2017:{2,6}:{(1825,1),(1899,1)}
2018:{5,6}:{(1819,1),(1930,1),(2232,1)}
2019:{1,3,5,6}:{(1791,1),(1837,1),(1942,1),(1957,1),(2219,1),(2228,1),(2297,1),(2330,1),(2843,1)}
2020:{1,3,5,6}:{(1796,1),(1831,1),(1943,1),(1957,1),(2210,1),(2221,1),(2296,1),(2330,1),(2610,1)}
2021:{1,5}:{(1794,1),(1826,1),(2213,1),(2836,1)}
2022:{1,2,5}:{(1795,1),(1827,1),(1916,1),(2218,1)}
2023:{1,5}:{(1790,1),(1834,1),(2216,1),(2838,1)}
2024:{1,3,5,6}:{(1801,1),(1828,1),(1942,1),(1956,1),(2214,1),(2222,1),(2297,1),(2331,1),(2611,1)}
2025:{1,3,5,6}:{(1792,1),(1836,1),(1943,1),(1956,1),(2209,1),(2223,1),(2296,1),(2331,1),(2845,1)}
2026:{1,5}:{(1797,1),(1829,1),(2208,1)}
2027:{1,5}:{(1793,1),(1835,1),(2215,1)}
2028:{1,2,5}:{(1800,1),(1833,1),(1917,1),(2217,1)}
2029:{1,2,5}:{(1799,1),(1830,1),(1917,1),(2212,1),(2842,1)}
2030:{1,2,5}:{(1798,1),(1832,1),(1916,1),(2211,1),(2835,1)}
2031:{1,3,7}:{(1804,1),(1831,1),(1950,1),(2295,1)}
2032:{1,6,7}:{(1811,1),(1826,1),(1968,1),(2224,1),(2328,1),(2964,1)}
2033:{1,2,4,7}:{(1809,1),(1832,1),(1927,1),(1965,1),(2226,1),(2280,1),(2313,1),(2829,1)}
2034:{1,2,7}:{(1805,1),(1833,1),(1926,1)}
2035:{1,6,7}:{(1808,1),(1834,1),(1969,1),(2231,1),(2329,1),(3000,1)}
2036:{1,3,7}:{(1810,1),(1828,1),(1951,1),(2294,1)}
2037:{1,2,7}:{(1812,1),(1827,1),(1927,1)}
2038:{1,3,4,7}:{(1807,1),(1837,1),(1951,1),(1965,1),(2228,1),(2280,1),(2294,1),(2554,1)}
2039:{1,6,7}:{(1806,1),(1835,1),(1969,1),(2230,1),(2329,1)}
2040:{1,2,4,7}:{(1813,1),(1830,1),(1926,1),(1964,1),(2220,1),(2281,1),(2312,1),(2833,1)}
2041:{1,6,7}:{(1803,1),(1829,1),(1968,1),(2227,1),(2328,1)}
2042:{1,3,4,7}:{(1802,1),(1836,1),(1950,1),(1964,1),(2223,1),(2281,1),(2295,1),(2556,1)}
2043:{4,6}:{(1838,1),(1861,1),(2253,1)}
2044:{4,6}:{(1839,1),(1860,1),(2252,1)}
2045:{4,7}:{(1840,1),(1885,1),(2234,1)}
2046:{4,7}:{(1841,1),(1884,1),(2235,1)}
2047:{4,6}:{(1842,1),(1892,1),(2233,1)}
2048:{4,6}:{(1843,1),(1893,1),(2232,1)}
2049:{3,4,5,7}:{(1839,1),(1844,1),(1847,1),(1863,1),(2172,1),(2180,1),(2238,1),(2248,1),(2257,1),(2276,1),(2521,1),(2548,1),(2589,1),(2776,1),(2825,1),(2991,1)}
2050:{3,4,5,7}:{(1838,1),(1845,1),(1846,1),(1862,1),(2177,1),(2181,1),(2239,1),(2249,1),(2256,1),(2277,1),(2512,1),(2551,1),(2588,1),(2783,1),(2823,1),(2976,1)}
2051:{4,5,7}:{(1849,1),(1851,1),(1875,1),(2183,1),(2241,1),(2259,1),(2514,1)}
2052:{4,5,7}:{(1848,1),(1850,1),(1874,1),(2179,1),(2240,1),(2258,1),(2515,1)}
2053:{4,7}:{(1853,1),(1886,1)}
2054:{4,7}:{(1852,1),(1887,1)}
2055:{4,5,7}:{(1854,1),(1856,1),(1890,1),(2179,1),(2236,1),(2243,1),(2262,1),(2515,1),(2590,1),(2785,1)}
2056:{4,5,7}:{(1855,1),(1857,1),(1891,1),(2183,1),(2237,1),(2242,1),(2263,1),(2514,1),(2591,1),(2779,1)}
2057:{4,6}:{(1857,1),(1894,1),(2237,1)}
2058:{4,6}:{(1856,1),(1895,1),(2236,1)}
2059:{3,4,7}:{(1842,1),(1858,1),(1888,1),(2173,1),(2244,1),(2270,1),(2286,1),(2555,1)}
2060:{3,4,7}:{(1843,1),(1859,1),(1889,1),(2178,1),(2245,1),(2271,1),(2287,1),(2559,1)}
2061:{3,6}:{(1862,1),(1899,1),(2288,1)}
2062:{3,6}:{(1863,1),(1898,1),(2289,1)}
2063:{3,5}:{(1867,1),(1901,1),(2236,1),(2251,1)}
2064:{3,5}:{(1866,1),(1900,1),(2237,1),(2250,1)}
2065:{3,4,6,7}:{(1845,1),(1864,1),(1867,1),(1903,1),(2239,1),(2247,1),(2249,1),(2268,1),(2588,1)}
2066:{3,4,6,7}:{(1844,1),(1865,1),(1866,1),(1902,1),(2238,1),(2246,1),(2248,1),(2269,1),(2589,1)}
2067:{2,5,7}:{(1839,1),(1871,1),(1873,1),(2252,1),(2255,1),(2587,1)}
2068:{2,5,7}:{(1838,1),(1870,1),(1872,1),(2253,1),(2254,1),(2586,1)}
2069:{2,4}:{(1841,1),(1870,1),(2184,1)}
2070:{2,4}:{(1840,1),(1871,1),(2188,1)}
2071:{3,6,7}:{(1869,1),(1875,1),(1973,1),(2241,1),(2310,1)}
2072:{3,6,7}:{(1868,1),(1874,1),(1973,1),(2240,1),(2311,1)}
2073:{2,3,7}:{(1844,1),(1873,1),(1878,1),(2261,1),(2313,1)}
2074:{2,3,7}:{(1845,1),(1872,1),(1879,1),(2260,1),(2312,1)}
2075:{2,3,5}:{(1847,1),(1871,1),(1878,1),(2185,1),(2187,1),(2314,1)}
2076:{2,3,5}:{(1846,1),(1870,1),(1879,1),(2190,1),(2191,1),(2315,1)}
2077:{2,4,6,7}:{(1848,1),(1877,1),(1880,1),(2240,1),(2246,1),(2258,1),(2261,1),(2524,1)}
2078:{2,4,6,7}:{(1849,1),(1876,1),(1881,1),(2241,1),(2247,1),(2259,1),(2260,1),(2528,1)}
2079:{2,5,6}:{(1850,1),(1880,1),(1974,1),(2189,1),(2237,1),(2258,1),(2520,1)}
2080:{2,5,6}:{(1851,1),(1881,1),(1974,1),(2193,1),(2236,1),(2259,1),(2519,1)}
2081:{2,4,6}:{(1853,1),(1879,1),(1882,1),(2190,1),(2194,1),(2260,1)}
2082:{2,4,6}:{(1852,1),(1878,1),(1883,1),(2186,1),(2187,1),(2261,1)}
2083:{2,5}:{(1855,1),(1883,1),(2193,1)}
2084:{2,5}:{(1854,1),(1882,1),(2189,1)}
2085:{2,4,7}:{(1857,1),(1883,1),(1896,1),(2263,1),(2265,1),(2779,1)}
2086:{2,4,7}:{(1856,1),(1882,1),(1897,1),(2262,1),(2264,1),(2785,1)}
2087:{2,3,5,6}:{(1860,1),(1885,1),(1893,1),(1929,1),(2197,1),(2198,1),(2232,1),(2234,1),(2252,1),(2326,1),(2521,1),(2535,1),(2585,1),(2587,1),(2596,1)}
2088:{2,3,5,6}:{(1861,1),(1884,1),(1892,1),(1928,1),(2196,1),(2204,1),(2233,1),(2235,1),(2253,1),(2327,1),(2512,1),(2530,1),(2584,1),(2586,1),(2597,1)}
2089:{3,6}:{(1888,1),(1931,1),(2328,1)}
2090:{3,6}:{(1889,1),(1930,1),(2329,1)}
2091:{3,6}:{(1890,1),(1933,1),(2243,1)}
2092:{3,6}:{(1891,1),(1932,1),(2242,1)}
2093:{2,3,6,7}:{(1864,1),(1886,1),(1895,1),(1934,1),(2202,1),(2207,1),(2247,1),(2528,1)}
2094:{2,3,6,7}:{(1865,1),(1887,1),(1894,1),(1935,1),(2199,1),(2205,1),(2246,1),(2524,1)}
2095:{2,3,6}:{(1867,1),(1897,1),(1937,1),(2264,1),(2266,1),(2855,1)}
2096:{2,3,6}:{(1866,1),(1896,1),(1936,1),(2265,1),(2267,1),(2856,1)}
2097:{2,3}:{(1858,1),(1939,1),(2195,1),(2251,1)}
2098:{2,3}:{(1859,1),(1938,1),(2192,1),(2250,1)}
2099:{1,4,5,7}:{(1838,1),(1901,1),(1903,1),(1912,1),(2249,1),(2272,1),(2274,1),(2304,1),(2588,1)}
2100:{1,4,5,7}:{(1839,1),(1900,1),(1902,1),(1913,1),(2248,1),(2273,1),(2275,1),(2305,1),(2589,1)}
2101:{1,4}:{(1841,1),(1953,1),(2251,1)}
2102:{1,4}:{(1840,1),(1952,1),(2250,1)}
2103:{1,4,7}:{(1844,1),(1906,1),(1914,1),(2313,1)}
2104:{1,4,7}:{(1845,1),(1907,1),(1915,1),(2312,1)}
2105:{1,4,5}:{(1847,1),(1906,1),(1916,1),(2218,1),(2293,1),(2314,1),(2636,1)}
2106:{1,4,5}:{(1846,1),(1907,1),(1917,1),(2217,1),(2292,1),(2315,1),(2637,1)}
2107:{1,4,7}:{(1849,1),(1909,1),(1940,1),(2295,1)}
2108:{1,4,7}:{(1848,1),(1908,1),(1941,1),(2294,1)}
2109:{1,4,5,6}:{(1851,1),(1909,1),(1943,1),(1976,1),(2210,1),(2279,1),(2296,1),(2319,1),(2343,1),(2610,1),(2623,1),(2863,1)}
2110:{1,4,5,6}:{(1850,1),(1908,1),(1942,1),(1976,1),(2214,1),(2278,1),(2297,1),(2318,1),(2343,1),(2611,1),(2622,1),(2864,1)}
2111:{1,4,6}:{(1853,1),(1911,1),(1954,1),(2212,1),(2281,1),(2298,1),(2623,1),(2637,1)}
2112:{1,4,6}:{(1852,1),(1910,1),(1955,1),(2211,1),(2280,1),(2299,1),(2622,1),(2636,1)}
2113:{1,4,5}:{(1855,1),(1910,1),(1957,1),(2210,1),(2300,1),(2323,1)}
2114:{1,4,5}:{(1854,1),(1911,1),(1956,1),(2214,1),(2301,1),(2322,1)}
2115:{1,4,7}:{(1856,1),(1911,1),(1961,1),(2284,1),(2302,1),(2637,1)}
2116:{1,4,7}:{(1857,1),(1910,1),(1960,1),(2285,1),(2303,1),(2636,1)}
2117:{1,4}:{(1859,1),(1958,1),(2341,1)}
2118:{1,4}:{(1858,1),(1959,1),(2340,1)}
2119:{1,5,6}:{(1860,1),(1913,1),(1920,1),(2232,1),(2289,1)}
2120:{1,5,6}:{(1861,1),(1912,1),(1921,1),(2233,1),(2288,1)}
2121:{1,5,7}:{(1862,1),(1917,1),(1926,1),(2288,1)}
2122:{1,5,7}:{(1863,1),(1916,1),(1927,1),(2289,1)}
2123:{1,3,6,7}:{(1865,1),(1904,1),(1914,1),(1918,1),(2289,1),(2294,1)}
2124:{1,3,6,7}:{(1864,1),(1905,1),(1915,1),(1919,1),(2288,1),(2295,1)}
2125:{1,3,4,6}:{(1867,1),(1907,1),(1919,1),(1922,1),(2284,1),(2292,1),(2298,1),(2335,1),(2637,1)}
2126:{1,3,4,6}:{(1866,1),(1906,1),(1918,1),(1923,1),(2285,1),(2293,1),(2299,1),(2334,1),(2636,1)}
2127:{3,6}:{(1909,1),(1925,1),(2295,1)}
2128:{3,6}:{(1908,1),(1924,1),(2294,1)}
2129:{3,4}:{(1911,1),(1925,1),(2338,1)}
2130:{3,4}:{(1910,1),(1924,1),(2339,1)}
2131:{1,2,5}:{(1870,1),(1901,1),(1937,1),(2266,1),(2307,1),(2839,1)}
2132:{1,2,5}:{(1871,1),(1900,1),(1936,1),(2267,1),(2306,1),(2840,1)}
2133:{1,2,6,7}:{(1873,1),(1902,1),(1936,1),(2252,1),(2269,1),(2305,1),(2313,1),(2627,1),(2989,1)}
2134:{1,2,6,7}:{(1872,1),(1903,1),(1937,1),(2253,1),(2268,1),(2304,1),(2312,1),(2626,1),(2972,1)}
2135:{1,2,4,7}:{(1843,1),(1938,1),(1963,1),(2255,1),(2271,1),(2275,1),(2287,1),(2309,1),(2570,1)}
2136:{1,2,4,7}:{(1842,1),(1939,1),(1962,1),(2254,1),(2270,1),(2274,1),(2286,1),(2308,1),(2567,1)}
2137:{1,5,7}:{(1875,1),(1943,1),(1950,1),(2310,1)}
2138:{1,5,7}:{(1874,1),(1942,1),(1951,1),(2311,1)}
2139:{1,2,6,7}:{(1877,1),(1904,1),(1941,1),(1945,1),(2311,1),(2313,1)}
2140:{1,2,6,7}:{(1876,1),(1905,1),(1940,1),(1944,1),(2310,1),(2312,1)}
2141:{1,2,6}:{(1879,1),(1907,1),(1947,1),(2312,1),(2315,1)}
2142:{1,2,6}:{(1878,1),(1906,1),(1946,1),(2313,1),(2314,1)}
2143:{1,2,4,6}:{(1881,1),(1909,1),(1944,1),(1948,1),(2284,1),(2319,1),(2337,1),(2343,1),(2545,1),(2623,1),(2633,1),(2876,1),(3003,1)}
2144:{1,2,4,6}:{(1880,1),(1908,1),(1945,1),(1949,1),(2285,1),(2318,1),(2336,1),(2343,1),(2542,1),(2622,1),(2632,1),(2875,1),(2988,1)}
2145:{1,2,4}:{(1882,1),(1911,1),(1947,1),(2322,1),(2338,1),(2650,1)}
2146:{1,2,4}:{(1883,1),(1910,1),(1946,1),(2323,1),(2339,1),(2651,1)}
2147:{1,2,5,7}:{(1884,1),(1912,1),(1953,1),(1967,1),(2227,1),(2274,1),(2327,1),(2567,1)}
2148:{1,2,5,7}:{(1885,1),(1913,1),(1952,1),(1966,1),(2230,1),(2275,1),(2326,1),(2570,1)}
2149:{1,2,3,5,7}:{(1886,1),(1915,1),(1940,1),(1954,1),(1964,1),(2220,1),(2223,1),(2281,1),(2295,1),(2312,1),(2333,1),(2551,1),(2564,1),(2608,1),(2640,1),(2642,1)}
2150:{1,2,3,5,7}:{(1887,1),(1914,1),(1941,1),(1955,1),(1965,1),(2226,1),(2228,1),(2280,1),(2294,1),(2313,1),(2332,1),(2548,1),(2562,1),(2609,1),(2641,1),(2643,1)}
2151:{1,5,7}:{(1889,1),(1958,1),(1969,1),(2287,1),(2329,1),(2606,1)}
2152:{1,5,7}:{(1888,1),(1959,1),(1968,1),(2286,1),(2328,1),(2607,1)}
2153:{1,3,5,7}:{(1891,1),(1957,1),(1971,1),(1979,1),(2283,1),(2330,1),(2344,1),(2843,1),(2977,1)}
2154:{1,3,5,7}:{(1890,1),(1956,1),(1970,1),(1979,1),(2282,1),(2331,1),(2344,1),(2845,1),(2974,1)}
2155:{1,2,3,6}:{(1894,1),(1918,1),(1945,1),(1960,1),(2285,1),(2330,1),(2336,1),(2632,1)}
2156:{1,2,3,6}:{(1895,1),(1919,1),(1944,1),(1961,1),(2284,1),(2331,1),(2337,1),(2633,1)}
2157:{1,2,6}:{(1893,1),(1920,1),(1963,1),(2252,1),(2329,1)}
2158:{1,2,6}:{(1892,1),(1921,1),(1962,1),(2253,1),(2328,1)}
2159:{1,2,3,7}:{(1896,1),(1923,1),(1946,1),(2313,1),(2325,1),(2334,1),(2339,1),(2643,1),(2977,1)}
2160:{1,2,3,7}:{(1897,1),(1922,1),(1947,1),(2312,1),(2324,1),(2335,1),(2338,1),(2642,1),(2974,1)}
2161:{2,3,5,7}:{(1925,1),(1948,1),(1982,1),(2295,1),(2302,1),(2337,1),(2338,1),(2344,1),(2346,1),(2551,1),(2582,1),(2617,1),(2642,1)}
2162:{2,3,5,7}:{(1924,1),(1949,1),(1982,1),(2294,1),(2303,1),(2336,1),(2339,1),(2344,1),(2346,1),(2548,1),(2583,1),(2616,1),(2643,1)}
2163:{4,6}:{(1972,1),(1973,1),(2342,1)}
2164:{2,5,7}:{(1972,1),(1974,1),(1975,1),(2236,1),(2237,1),(2342,1),(2514,1),(2515,1)}
2165:{1,4,5,7}:{(1972,1),(1976,1),(1977,1),(1979,1),(2343,1),(2344,1),(2345,1),(2652,1)}
2166:{3,5}:{(1976,1),(1978,1)}
2167:{3,4,7}:{(1977,1),(1978,1),(1982,1),(2294,1),(2295,1),(2344,1)}
2168:{1,6}:{(1973,1),(1979,1)}
2169:{1,2,5}:{(1974,1),(1976,1),(1980,1),(2346,1),(2835,1),(2842,1)}
2170:{1,2,4,6,7}:{(1975,1),(1977,1),(1980,1),(1981,1),(2284,1),(2285,1),(2324,1),(2325,1),(2343,1),(2345,1),(2347,1),(2538,1),(2543,1),(2561,1),(2568,1),(2632,1),(2633,1)}
2171:{2,3,6}:{(1978,1),(1980,1),(1982,1),(2338,1),(2339,1),(2346,1)}
2172:{3,4,7}:{(1993,1),(2000,1),(2045,1),(2358,1),(2377,1),(2430,1)}
2173:{4,7}:{(1992,1),(1995,1),(2350,1),(2362,1)}
2174:{3,4,7}:{(1988,1),(2006,1),(2045,1),(2351,1),(2365,1),(2383,1),(2430,1)}
2175:{3,4,7}:{(1987,1),(1999,1),(2046,1),(2353,1),(2360,1),(2373,1),(2431,1)}
2176:{4,5,7}:{(1990,1),(1997,1),(2054,1),(2357,1),(2366,1),(2425,1)}
2177:{3,4,7}:{(1983,1),(2001,1),(2046,1),(2355,1),(2379,1),(2431,1)}
2178:{4,7}:{(1984,1),(2005,1),(2352,1),(2361,1)}
2179:{4,7}:{(1989,1),(2004,1),(2364,1)}
2180:{4,5,7}:{(1991,1),(1998,1),(2054,1),(2354,1),(2425,1)}
2181:{4,5,7}:{(1986,1),(2002,1),(2053,1),(2359,1),(2424,1)}
2182:{4,5,7}:{(1994,1),(1996,1),(2053,1),(2348,1),(2367,1),(2424,1)}
2183:{4,7}:{(1985,1),(2003,1),(2369,1)}
2184:{2,3}:{(1987,1),(2069,1),(2403,1)}
2185:{2,3,4}:{(1993,1),(2070,1),(2075,1),(2402,1),(2435,1),(2448,1),(2718,1)}
2186:{2,5,6}:{(1990,1),(2082,1),(2083,1),(2366,1),(2437,1),(2443,1)}
2187:{2,4,5}:{(1991,1),(2075,1),(2082,1),(2435,1),(2437,1)}
2188:{2,3}:{(1988,1),(2070,1),(2404,1)}
2189:{2,6}:{(1989,1),(2084,1),(2364,1)}
2190:{2,4,5}:{(1986,1),(2076,1),(2081,1),(2434,1),(2436,1)}
2191:{2,3,4}:{(1983,1),(2069,1),(2076,1),(2400,1),(2434,1),(2449,1),(2717,1)}
2192:{2}:{(1984,1)}
2193:{2,6}:{(1985,1),(2083,1),(2369,1)}
2194:{2,5,6}:{(1994,1),(2081,1),(2084,1),(2367,1),(2436,1),(2442,1)}
2195:{2}:{(1992,1)}
2196:{3,5,6}:{(1999,1),(2011,1),(2089,1),(2353,1),(2414,1),(2423,1)}
2197:{2,3,6}:{(2000,1),(2015,1),(2062,1),(2358,1),(2417,1),(2884,1)}
2198:{3,5,6}:{(2006,1),(2012,1),(2090,1),(2351,1),(2409,1),(2422,1)}
2199:{2,3,6}:{(1998,1),(2007,1),(2062,1),(2354,1),(2408,1),(2682,1)}
2200:{3,5,6}:{(1995,1),(2008,1),(2089,1),(2350,1),(2415,1),(2423,1),(2685,1)}
2201:{3,5,6}:{(2005,1),(2018,1),(2090,1),(2352,1),(2410,1),(2422,1),(2687,1)}
2202:{3,6,7}:{(1996,1),(2013,1),(2091,1),(2348,1)}
2203:{3,6,7}:{(2003,1),(2014,1),(2092,1),(2349,1),(2882,1)}
2204:{2,3,6}:{(2001,1),(2010,1),(2061,1),(2355,1),(2411,1),(2888,1)}
2205:{3,6,7}:{(1997,1),(2009,1),(2092,1),(2357,1)}
2206:{3,6,7}:{(2004,1),(2016,1),(2091,1),(2356,1),(2886,1)}
2207:{2,3,6}:{(2002,1),(2017,1),(2061,1),(2359,1),(2416,1),(2679,1)}
2208:{1,4}:{(1987,1),(2026,1),(2394,1),(2403,1)}
2209:{1,4,5,6}:{(1994,1),(2025,1),(2111,1),(2114,1),(2372,1),(2390,1),(2407,1),(2455,1),(2461,1),(2667,1),(2758,1)}
2210:{1,4,6}:{(1985,1),(2020,1),(2113,1),(2374,1),(2386,1),(2396,1)}
2211:{1,4,5}:{(1991,1),(2030,1),(2112,1),(2391,1),(2454,1),(2748,1)}
2212:{1,4,5}:{(1986,1),(2029,1),(2111,1),(2389,1),(2455,1),(2749,1)}
2213:{1,4}:{(1992,1),(2021,1),(2384,1),(2401,1),(2722,1)}
2214:{1,4,6}:{(1989,1),(2024,1),(2114,1),(2381,1),(2395,1),(2405,1)}
2215:{1,4}:{(1988,1),(2027,1),(2387,1),(2404,1)}
2216:{1,4}:{(1984,1),(2023,1),(2388,1),(2406,1),(2723,1)}
2217:{1,4}:{(1983,1),(2028,1),(2385,1)}
2218:{1,4}:{(1993,1),(2022,1),(2393,1)}
2219:{1,4,5,6}:{(1990,1),(2019,1),(2112,1),(2113,1),(2382,1),(2392,1),(2399,1),(2454,1),(2460,1),(2668,1),(2759,1)}
2220:{1,2,5,7}:{(2002,1),(2029,1),(2040,1),(2121,1),(2375,1),(2416,1),(2947,1)}
2221:{1,3,5,7}:{(2003,1),(2020,1),(2031,1),(2137,1),(2374,1),(2419,1),(2468,1),(2671,1)}
2222:{1,3,5,7}:{(2004,1),(2024,1),(2036,1),(2138,1),(2381,1),(2413,1),(2469,1),(2669,1)}
2223:{1,3,5,7}:{(1996,1),(2025,1),(2042,1),(2137,1),(2372,1),(2418,1),(2468,1)}
2224:{1,5,7}:{(1995,1),(2021,1),(2032,1),(2376,1),(2415,1),(2941,1)}
2225:{1,2,5,7}:{(2000,1),(2022,1),(2037,1),(2122,1),(2377,1),(2417,1),(2677,1)}
2226:{1,2,5,7}:{(1998,1),(2030,1),(2033,1),(2122,1),(2378,1),(2408,1),(2945,1)}
2227:{1,5,7}:{(1999,1),(2026,1),(2041,1),(2373,1),(2414,1)}
2228:{1,3,5,7}:{(1997,1),(2019,1),(2038,1),(2138,1),(2382,1),(2412,1),(2469,1)}
2229:{1,2,5,7}:{(2001,1),(2028,1),(2034,1),(2121,1),(2379,1),(2411,1),(2666,1)}
2230:{1,5,7}:{(2006,1),(2027,1),(2039,1),(2383,1),(2409,1)}
2231:{1,5,7}:{(2005,1),(2023,1),(2035,1),(2380,1),(2410,1),(2942,1)}
2232:{5}:{(2048,1)}
2233:{5}:{(2047,1)}
2234:{4,6}:{(2045,1),(2087,1),(2420,1),(2726,1)}
2235:{4,6}:{(2046,1),(2088,1),(2421,1),(2727,1)}
2236:{5}:{(2058,1)}
2237:{5}:{(2057,1)}
2238:{3,4,6}:{(2044,1),(2049,1),(2062,1),(2354,1),(2429,1),(2439,1),(2457,1),(2682,1),(2730,1)}
2239:{3,4,6}:{(2043,1),(2050,1),(2061,1),(2359,1),(2428,1),(2438,1),(2456,1),(2679,1),(2731,1)}
2240:{4,6,7}:{(2052,1),(2072,1),(2163,1),(2441,1)}
2241:{4,6,7}:{(2051,1),(2071,1),(2163,1),(2440,1)}
2242:{4,6}:{(2056,1),(2092,1),(2427,1),(2443,1)}
2243:{4,6}:{(2055,1),(2091,1),(2426,1),(2442,1)}
2244:{3,4,6}:{(2047,1),(2059,1),(2089,1),(2350,1),(2423,1),(2450,1),(2463,1),(2685,1),(2727,1),(2893,1)}
2245:{3,4,6}:{(2048,1),(2060,1),(2090,1),(2352,1),(2422,1),(2451,1),(2462,1),(2687,1),(2726,1),(2889,1)}
2246:{4,6,7}:{(2054,1),(2057,1),(2094,1),(2354,1),(2425,1)}
2247:{4,6,7}:{(2053,1),(2058,1),(2093,1),(2359,1),(2424,1)}
2248:{3,5,7}:{(2064,1),(2066,1),(2100,1),(2425,1),(2429,1),(2430,1)}
2249:{3,5,7}:{(2063,1),(2065,1),(2099,1),(2424,1),(2428,1),(2431,1)}
2250:{3}:{(2102,1)}
2251:{3}:{(2101,1)}
2252:{2,6}:{(2044,1),(2067,1)}
2253:{2,6}:{(2043,1),(2068,1)}
2254:{2,4,7}:{(2046,1),(2068,1),(2069,1),(2360,1),(2432,1)}
2255:{2,4,7}:{(2045,1),(2067,1),(2070,1),(2365,1),(2433,1)}
2256:{2,3,5,7}:{(2050,1),(2068,1),(2074,1),(2076,1),(2363,1),(2370,1),(2438,1),(2482,1),(2661,1)}
2257:{2,3,5,7}:{(2049,1),(2067,1),(2073,1),(2075,1),(2368,1),(2371,1),(2439,1),(2483,1),(2659,1)}
2258:{2,5,7}:{(2052,1),(2077,1),(2079,1),(2364,1),(2425,1)}
2259:{2,5,7}:{(2051,1),(2078,1),(2080,1),(2369,1),(2424,1)}
2260:{2,4,7}:{(2053,1),(2074,1),(2081,1),(2367,1)}
2261:{2,4,7}:{(2054,1),(2073,1),(2082,1),(2366,1)}
2262:{2,5,7}:{(2055,1),(2084,1),(2086,1),(2364,1),(2436,1),(2442,1)}
2263:{2,5,7}:{(2056,1),(2083,1),(2085,1),(2369,1),(2437,1),(2443,1)}
2264:{2,4,6}:{(2058,1),(2086,1),(2095,1),(2434,1),(2436,1),(2442,1),(2735,1)}
2265:{2,4,6}:{(2057,1),(2085,1),(2096,1),(2435,1),(2437,1),(2443,1),(2734,1)}
2266:{2,3,5}:{(2063,1),(2095,1),(2131,1),(2434,1),(2436,1),(2449,1),(2740,1)}
2267:{2,3,5}:{(2064,1),(2096,1),(2132,1),(2435,1),(2437,1),(2448,1),(2741,1)}
2268:{2,3,6,7}:{(2065,1),(2074,1),(2095,1),(2134,1),(2438,1),(2445,1),(2447,1),(2879,1)}
2269:{2,3,6,7}:{(2066,1),(2073,1),(2096,1),(2133,1),(2439,1),(2444,1),(2446,1),(2878,1)}
2270:{2,3,7}:{(2059,1),(2097,1),(2136,1),(2362,1),(2431,1),(2450,1)}
2271:{2,3,7}:{(2060,1),(2098,1),(2135,1),(2361,1),(2430,1),(2451,1)}
2272:{1,4,5,6}:{(2043,1),(2099,1),(2120,1),(2421,1),(2428,1),(2453,1),(2456,1),(2479,1),(2666,1),(2731,1),(2908,1)}
2273:{1,4,5,6}:{(2044,1),(2100,1),(2119,1),(2420,1),(2429,1),(2452,1),(2457,1),(2478,1),(2677,1),(2730,1),(2907,1)}
2274:{1,4,7}:{(2046,1),(2101,1),(2147,1),(2431,1),(2453,1)}
2275:{1,4,7}:{(2045,1),(2102,1),(2148,1),(2430,1),(2452,1)}
2276:{1,4,5,7}:{(2049,1),(2103,1),(2105,1),(2122,1),(2377,1),(2457,1),(2466,1),(2483,1),(2677,1),(2756,1),(2907,1)}
2277:{1,4,5,7}:{(2050,1),(2104,1),(2106,1),(2121,1),(2379,1),(2456,1),(2467,1),(2482,1),(2666,1),(2757,1),(2908,1)}
2278:{1,4,5,7}:{(2052,1),(2108,1),(2110,1),(2138,1),(2381,1),(2459,1),(2469,1),(2484,1),(2669,1),(2747,1),(2897,1)}
2279:{1,4,5,7}:{(2051,1),(2107,1),(2109,1),(2137,1),(2374,1),(2458,1),(2468,1),(2485,1),(2671,1),(2746,1),(2899,1)}
2280:{1,4,7}:{(2054,1),(2112,1),(2150,1),(2470,1),(2747,1)}
2281:{1,4,7}:{(2053,1),(2111,1),(2149,1),(2471,1),(2746,1)}
2282:{1,4,5,7}:{(2055,1),(2114,1),(2115,1),(2154,1),(2381,1),(2455,1),(2461,1),(2473,1),(2488,1),(2669,1),(2758,1),(2905,1)}
2283:{1,4,5,7}:{(2056,1),(2113,1),(2116,1),(2153,1),(2374,1),(2454,1),(2460,1),(2472,1),(2489,1),(2671,1),(2759,1),(2909,1)}
2284:{1,4,6}:{(2058,1),(2115,1),(2156,1),(2455,1),(2474,1)}
2285:{1,4,6}:{(2057,1),(2116,1),(2155,1),(2454,1),(2475,1)}
2286:{1,4,7}:{(2059,1),(2118,1),(2152,1),(2463,1),(2506,1)}
2287:{1,4,7}:{(2060,1),(2117,1),(2151,1),(2462,1),(2507,1)}
2288:{1,6}:{(2061,1),(2121,1)}
2289:{1,6}:{(2062,1),(2122,1)}
2290:{1,3,4,6,7}:{(2065,1),(2104,1),(2124,1),(2125,1),(2456,1),(2465,1),(2467,1),(2471,1),(2493,1),(2679,1),(2757,1),(2935,1)}
2291:{1,3,4,6,7}:{(2066,1),(2103,1),(2123,1),(2126,1),(2457,1),(2464,1),(2466,1),(2470,1),(2492,1),(2682,1),(2756,1),(2931,1)}
2292:{1,3,5}:{(2063,1),(2106,1),(2125,1),(2385,1),(2389,1),(2455,1)}
2293:{1,3,5}:{(2064,1),(2105,1),(2126,1),(2391,1),(2393,1),(2454,1)}
2294:{3,7}:{(2108,1),(2128,1)}
2295:{3,7}:{(2107,1),(2127,1)}
2296:{3,5,6}:{(2109,1),(2127,1),(2166,1),(2386,1),(2468,1),(2508,1)}
2297:{3,5,6}:{(2110,1),(2128,1),(2166,1),(2395,1),(2469,1),(2508,1)}
2298:{3,4,6}:{(2111,1),(2127,1),(2129,1),(2389,1),(2471,1),(2500,1),(2679,1),(2717,1)}
2299:{3,4,6}:{(2112,1),(2128,1),(2130,1),(2391,1),(2470,1),(2501,1),(2682,1),(2718,1)}
2300:{3,4,5}:{(2113,1),(2130,1),(2166,1),(2386,1),(2502,1),(2509,1),(2749,1)}
2301:{3,4,5}:{(2114,1),(2129,1),(2166,1),(2395,1),(2503,1),(2509,1),(2748,1)}
2302:{3,4,7}:{(2115,1),(2129,1),(2161,1),(2474,1),(2509,1),(2717,1),(2746,1)}
2303:{3,4,7}:{(2116,1),(2130,1),(2162,1),(2475,1),(2509,1),(2718,1),(2747,1)}
2304:{1,2,5,7}:{(2068,1),(2099,1),(2131,1),(2134,1),(2447,1),(2479,1),(2481,1),(2940,1)}
2305:{1,2,5,7}:{(2067,1),(2100,1),(2132,1),(2133,1),(2446,1),(2478,1),(2480,1),(2939,1)}
2306:{1,2,4}:{(2070,1),(2102,1),(2132,1),(2404,1),(2435,1),(2448,1),(2725,1)}
2307:{1,2,4}:{(2069,1),(2101,1),(2131,1),(2403,1),(2434,1),(2449,1),(2719,1)}
2308:{1,2,4,6}:{(2047,1),(2136,1),(2158,1),(2432,1),(2450,1),(2453,1),(2463,1),(2476,1),(2701,1),(2727,1),(2912,1)}
2309:{1,2,4,6}:{(2048,1),(2135,1),(2157,1),(2433,1),(2451,1),(2452,1),(2462,1),(2477,1),(2690,1),(2726,1),(2902,1)}
2310:{1,6,7}:{(2071,1),(2137,1),(2168,1)}
2311:{1,6,7}:{(2072,1),(2138,1),(2168,1)}
2312:{1,2,7}:{(2074,1),(2104,1),(2141,1)}
2313:{1,2,7}:{(2073,1),(2103,1),(2142,1)}
2314:{1,2,5}:{(2075,1),(2105,1),(2142,1),(2402,1)}
2315:{1,2,5}:{(2076,1),(2106,1),(2141,1),(2400,1)}
2316:{1,2,4,6,7}:{(2077,1),(2108,1),(2139,1),(2144,1),(2459,1),(2464,1),(2484,1),(2487,1),(2496,1),(2696,1),(2747,1),(2936,1)}
2317:{1,2,4,6,7}:{(2078,1),(2107,1),(2140,1),(2143,1),(2458,1),(2465,1),(2485,1),(2486,1),(2497,1),(2697,1),(2746,1),(2932,1)}
2318:{1,2,5,6}:{(2079,1),(2110,1),(2144,1),(2169,1),(2405,1),(2454,1),(2484,1),(2498,1),(2668,1),(2958,1)}
2319:{1,2,5,6}:{(2080,1),(2109,1),(2143,1),(2169,1),(2396,1),(2455,1),(2485,1),(2499,1),(2667,1),(2956,1)}
2320:{1,2,4,6}:{(2081,1),(2111,1),(2141,1),(2145,1),(2397,1),(2407,1),(2486,1),(2500,1),(2716,1)}
2321:{1,2,4,6}:{(2082,1),(2112,1),(2142,1),(2146,1),(2398,1),(2399,1),(2487,1),(2501,1),(2721,1)}
2322:{1,2,5}:{(2084,1),(2114,1),(2145,1),(2405,1),(2503,1)}
2323:{1,2,5}:{(2083,1),(2113,1),(2146,1),(2396,1),(2502,1)}
2324:{1,2,4,7}:{(2086,1),(2115,1),(2145,1),(2160,1),(2488,1),(2491,1),(2505,1),(2905,1)}
2325:{1,2,4,7}:{(2085,1),(2116,1),(2146,1),(2159,1),(2489,1),(2490,1),(2504,1),(2909,1)}
2326:{1,2,5,6}:{(2087,1),(2119,1),(2148,1),(2157,1),(2409,1),(2417,1),(2452,1),(2477,1),(2677,1),(2690,1)}
2327:{1,2,5,6}:{(2088,1),(2120,1),(2147,1),(2158,1),(2411,1),(2414,1),(2453,1),(2476,1),(2666,1),(2701,1)}
2328:{1,6}:{(2089,1),(2152,1)}
2329:{1,6}:{(2090,1),(2151,1)}
2330:{1,3,6}:{(2092,1),(2153,1),(2168,1),(2460,1),(2508,1)}
2331:{1,3,6}:{(2091,1),(2154,1),(2168,1),(2461,1),(2508,1)}
2332:{1,2,3,6,7}:{(2094,1),(2123,1),(2139,1),(2150,1),(2155,1),(2408,1),(2412,1),(2464,1),(2496,1),(2682,1),(2696,1)}
2333:{1,2,3,6,7}:{(2093,1),(2124,1),(2140,1),(2149,1),(2156,1),(2416,1),(2418,1),(2465,1),(2497,1),(2679,1),(2697,1)}
2334:{1,2,3,6}:{(2096,1),(2126,1),(2142,1),(2159,1),(2490,1),(2494,1),(2501,1),(2949,1)}
2335:{1,2,3,6}:{(2095,1),(2125,1),(2141,1),(2160,1),(2491,1),(2495,1),(2500,1),(2960,1)}
2336:{2,3,6}:{(2128,1),(2144,1),(2162,1),(2475,1),(2508,1),(2682,1)}
2337:{2,3,6}:{(2127,1),(2143,1),(2161,1),(2474,1),(2508,1),(2679,1)}
2338:{2,3}:{(2129,1),(2145,1)}
2339:{2,3}:{(2130,1),(2146,1)}
2340:{1,2,3}:{(2097,1),(2118,1),(2384,1),(2394,1),(2401,1),(2403,1)}
2341:{1,2,3}:{(2098,1),(2117,1),(2387,1),(2388,1),(2404,1),(2406,1)}
2342:{2,5,6}:{(2163,1),(2164,1),(2426,1),(2427,1),(2442,1),(2443,1)}
2343:{1,4,6}:{(2163,1),(2165,1),(2168,1),(2508,1),(2510,1),(2774,1)}
2344:{3,5,7}:{(2165,1),(2166,1),(2167,1),(2508,1)}
2345:{1,2,5,7}:{(2164,1),(2165,1),(2169,1),(2170,1),(2454,1),(2455,1),(2510,1),(2511,1),(2669,1),(2671,1)}
2346:{2,3,5}:{(2166,1),(2169,1),(2171,1),(2509,1)}
2347:{2,3,4,6,7}:{(2167,1),(2170,1),(2171,1),(2474,1),(2475,1),(2496,1),(2497,1),(2504,1),(2505,1),(2508,1),(2509,1),(2511,1),(2680,1),(2688,1),(2702,1),(2710,1),(2715,1),(2724,1),(2746,1),(2747,1),(2766,1),(2767,1),(2774,1),(2932,1),(2936,1)}
2348:{4,6,7}:{(2182,1),(2202,1),(2243,1),(2523,1),(2528,1)}
2349:{4,6,7}:{(2183,1),(2203,1),(2242,1),(2514,1),(2527,1),(2779,1)}
2350:{4,6}:{(2173,1),(2200,1),(2516,1),(2529,1)}
2351:{3,4,6}:{(2174,1),(2198,1),(2234,1),(2522,1),(2535,1),(2541,1),(2585,1)}
2352:{4,6}:{(2178,1),(2201,1),(2518,1),(2532,1)}
2353:{3,4,6}:{(2175,1),(2196,1),(2235,1),(2513,1),(2530,1),(2537,1),(2584,1)}
2354:{4,6}:{(2180,1),(2199,1),(2520,1)}
2355:{3,4,6}:{(2177,1),(2204,1),(2235,1),(2512,1),(2546,1),(2584,1),(2847,1)}
2356:{4,6,7}:{(2179,1),(2206,1),(2243,1),(2515,1),(2531,1),(2785,1)}
2357:{4,6,7}:{(2176,1),(2205,1),(2242,1),(2517,1),(2524,1)}
2358:{3,4,6}:{(2172,1),(2197,1),(2234,1),(2521,1),(2536,1),(2585,1),(2848,1)}
2359:{4,6}:{(2181,1),(2207,1),(2519,1)}
2360:{2,3,7}:{(2175,1),(2184,1),(2254,1),(2530,1),(2567,1)}
2361:{2,7}:{(2178,1),(2192,1),(2532,1)}
2362:{2,7}:{(2173,1),(2195,1),(2529,1)}
2363:{2,4,5,7}:{(2181,1),(2190,1),(2256,1),(2260,1),(2533,1),(2588,1),(2593,1),(2783,1)}
2364:{2,7}:{(2179,1),(2189,1)}
2365:{2,3,7}:{(2174,1),(2188,1),(2255,1),(2535,1),(2570,1)}
2366:{2,5,7}:{(2176,1),(2186,1),(2261,1),(2524,1)}
2367:{2,5,7}:{(2182,1),(2194,1),(2260,1),(2528,1)}
2368:{2,3,4,7}:{(2172,1),(2185,1),(2255,1),(2257,1),(2525,1),(2571,1),(2589,1),(2601,1),(2825,1)}
2369:{2,7}:{(2183,1),(2193,1)}
2370:{2,3,4,7}:{(2177,1),(2191,1),(2254,1),(2256,1),(2526,1),(2566,1),(2588,1),(2600,1),(2823,1)}
2371:{2,4,5,7}:{(2180,1),(2187,1),(2257,1),(2261,1),(2534,1),(2589,1),(2592,1),(2776,1)}
2372:{1,4,5,7}:{(2182,1),(2209,1),(2223,1),(2281,1),(2547,1),(2558,1),(2564,1),(2608,1)}
2373:{1,4,7}:{(2175,1),(2208,1),(2227,1),(2537,1),(2550,1),(2567,1)}
2374:{1,4,7}:{(2183,1),(2210,1),(2221,1),(2556,1),(2568,1)}
2375:{1,4,5,7}:{(2181,1),(2212,1),(2220,1),(2281,1),(2545,1),(2551,1),(2608,1),(2861,1)}
2376:{1,4,7}:{(2173,1),(2213,1),(2224,1),(2539,1),(2555,1),(2565,1),(2824,1)}
2377:{1,4,7}:{(2172,1),(2218,1),(2225,1),(2536,1),(2553,1)}
2378:{1,4,5,7}:{(2180,1),(2211,1),(2226,1),(2280,1),(2542,1),(2548,1),(2609,1),(2862,1)}
2379:{1,4,7}:{(2177,1),(2217,1),(2229,1),(2546,1),(2557,1)}
2380:{1,4,7}:{(2178,1),(2216,1),(2231,1),(2540,1),(2559,1),(2563,1),(2827,1)}
2381:{1,4,7}:{(2179,1),(2214,1),(2222,1),(2554,1),(2561,1)}
2382:{1,4,5,7}:{(2176,1),(2219,1),(2228,1),(2280,1),(2544,1),(2549,1),(2562,1),(2609,1)}
2383:{1,4,7}:{(2174,1),(2215,1),(2230,1),(2541,1),(2552,1),(2570,1)}
2384:{3}:{(2213,1)}
2385:{1,3}:{(2217,1),(2251,1)}
2386:{3,4,6}:{(2210,1),(2296,1),(2300,1),(2556,1),(2581,1),(2623,1)}
2387:{1,3}:{(2215,1),(2250,1)}
2388:{3}:{(2216,1)}
2389:{3,5}:{(2212,1),(2298,1)}
2390:{3,4,5,6}:{(2209,1),(2296,1),(2298,1),(2301,1),(2558,1),(2575,1),(2617,1),(2618,1),(2623,1),(2797,1),(2841,1),(2863,1)}
2391:{3,5}:{(2211,1),(2299,1)}
2392:{3,4,5,6}:{(2219,1),(2297,1),(2299,1),(2300,1),(2549,1),(2577,1),(2616,1),(2619,1),(2622,1),(2787,1),(2837,1),(2864,1)}
2393:{1,3}:{(2218,1),(2250,1)}
2394:{1,3}:{(2208,1),(2251,1)}
2395:{3,4,6}:{(2214,1),(2297,1),(2301,1),(2554,1),(2572,1),(2622,1)}
2396:{1,2,6}:{(2193,1),(2210,1),(2323,1),(2568,1),(2581,1)}
2397:{1,2,4,5}:{(2190,1),(2212,1),(2315,1),(2320,1),(2582,1),(2629,1),(2637,1),(2844,1)}
2398:{1,2,4,5}:{(2187,1),(2211,1),(2314,1),(2321,1),(2583,1),(2628,1),(2636,1),(2846,1)}
2399:{1,2,5,6}:{(2186,1),(2219,1),(2321,1),(2323,1),(2562,1),(2577,1),(2628,1),(2632,1)}
2400:{1,2,4}:{(2191,1),(2217,1),(2315,1),(2578,1),(2637,1)}
2401:{1,2}:{(2195,1),(2213,1),(2576,1)}
2402:{1,2,4}:{(2185,1),(2218,1),(2314,1),(2574,1),(2636,1)}
2403:{1,2}:{(2184,1),(2208,1)}
2404:{1,2}:{(2188,1),(2215,1)}
2405:{1,2,6}:{(2189,1),(2214,1),(2322,1),(2561,1),(2572,1)}
2406:{1,2}:{(2192,1),(2216,1),(2580,1)}
2407:{1,2,5,6}:{(2194,1),(2209,1),(2320,1),(2322,1),(2564,1),(2575,1),(2629,1),(2633,1)}
2408:{1,2,6}:{(2199,1),(2226,1),(2289,1),(2542,1),(2988,1)}
2409:{1,5,6}:{(2198,1),(2230,1),(2329,1),(2541,1),(2606,1)}
2410:{1,5,6}:{(2201,1),(2231,1),(2329,1),(2540,1),(2606,1),(3005,1)}
2411:{1,2,6}:{(2204,1),(2229,1),(2288,1),(2546,1),(2993,1)}
2412:{1,3,6,7}:{(2205,1),(2228,1),(2311,1),(2330,1),(2544,1),(2615,1)}
2413:{1,3,6,7}:{(2206,1),(2222,1),(2311,1),(2331,1),(2543,1),(2615,1),(2974,1)}
2414:{1,5,6}:{(2196,1),(2227,1),(2328,1),(2537,1),(2607,1)}
2415:{1,5,6}:{(2200,1),(2224,1),(2328,1),(2539,1),(2607,1),(2965,1)}
2416:{1,2,6}:{(2207,1),(2220,1),(2288,1),(2545,1),(3003,1)}
2417:{1,2,6}:{(2197,1),(2225,1),(2289,1),(2536,1),(3012,1)}
2418:{1,3,6,7}:{(2202,1),(2223,1),(2310,1),(2331,1),(2547,1),(2614,1)}
2419:{1,3,6,7}:{(2203,1),(2221,1),(2310,1),(2330,1),(2538,1),(2614,1),(2977,1)}
2420:{4,5}:{(2232,1),(2234,1),(2521,1),(2587,1)}
2421:{4,5}:{(2233,1),(2235,1),(2512,1),(2586,1)}
2422:{3,5}:{(2232,1),(2245,1),(2518,1),(2606,1)}
2423:{3,5}:{(2233,1),(2244,1),(2516,1),(2607,1)}
2424:{5,7}:{(2236,1),(2247,1),(2519,1)}
2425:{5,7}:{(2237,1),(2246,1),(2520,1)}
2426:{5,6}:{(2236,1),(2243,1),(2515,1)}
2427:{5,6}:{(2237,1),(2242,1),(2514,1)}
2428:{3,5,6}:{(2239,1),(2249,1),(2272,1),(2512,1),(2519,1),(2584,1),(2976,1)}
2429:{3,5,6}:{(2238,1),(2248,1),(2273,1),(2520,1),(2521,1),(2585,1),(2991,1)}
2430:{3,7}:{(2250,1),(2275,1),(2585,1)}
2431:{3,7}:{(2251,1),(2274,1),(2584,1)}
2432:{2,4,6}:{(2235,1),(2253,1),(2254,1),(2530,1),(2586,1),(2781,1)}
2433:{2,4,6}:{(2234,1),(2252,1),(2255,1),(2535,1),(2587,1),(2778,1)}
2434:{4}:{(2266,1)}
2435:{4}:{(2267,1)}
2436:{2,5}:{(2236,1),(2264,1),(2590,1)}
2437:{2,5}:{(2237,1),(2265,1),(2591,1)}
2438:{2,3,6}:{(2239,1),(2253,1),(2256,1),(2533,1),(2626,1)}
2439:{2,3,6}:{(2238,1),(2252,1),(2257,1),(2534,1),(2627,1)}
2440:{2,5,6,7}:{(2241,1),(2259,1),(2342,1),(2514,1),(2523,1),(2527,1),(2528,1)}
2441:{2,5,6,7}:{(2240,1),(2258,1),(2342,1),(2515,1),(2517,1),(2524,1),(2531,1)}
2442:{2,6}:{(2243,1),(2262,1)}
2443:{2,6}:{(2242,1),(2263,1)}
2444:{2,4,6,7}:{(2246,1),(2261,1),(2265,1),(2269,1),(2524,1),(2534,1),(2589,1),(2592,1),(2784,1)}
2445:{2,4,6,7}:{(2247,1),(2260,1),(2264,1),(2268,1),(2528,1),(2533,1),(2588,1),(2593,1),(2786,1)}
2446:{2,3,5,7}:{(2248,1),(2267,1),(2269,1),(2305,1),(2589,1),(2592,1),(2599,1),(2601,1),(2853,1)}
2447:{2,3,5,7}:{(2249,1),(2266,1),(2268,1),(2304,1),(2588,1),(2593,1),(2598,1),(2600,1),(2854,1)}
2448:{2,3}:{(2250,1),(2306,1),(2603,1)}
2449:{2,3}:{(2251,1),(2307,1),(2602,1)}
2450:{2,3,6}:{(2244,1),(2270,1),(2308,1),(2529,1),(2584,1),(2597,1),(2968,1)}
2451:{2,3,6}:{(2245,1),(2271,1),(2309,1),(2532,1),(2585,1),(2596,1),(3009,1)}
2452:{1,4,6}:{(2234,1),(2275,1),(2326,1),(2585,1),(2604,1)}
2453:{1,4,6}:{(2235,1),(2274,1),(2327,1),(2584,1),(2605,1)}
2454:{1,5}:{(2237,1),(2285,1),(2616,1)}
2455:{1,5}:{(2236,1),(2284,1),(2617,1)}
2456:{1,4,6}:{(2239,1),(2277,1),(2288,1),(2612,1),(2626,1)}
2457:{1,4,6}:{(2238,1),(2276,1),(2289,1),(2613,1),(2627,1)}
2458:{1,4,6,7}:{(2241,1),(2279,1),(2310,1),(2343,1),(2614,1),(2631,1),(2860,1)}
2459:{1,4,6,7}:{(2240,1),(2278,1),(2311,1),(2343,1),(2615,1),(2630,1),(2859,1)}
2460:{1,4,6}:{(2242,1),(2283,1),(2330,1),(2610,1),(2619,1),(2632,1)}
2461:{1,4,6}:{(2243,1),(2282,1),(2331,1),(2611,1),(2618,1),(2633,1)}
2462:{1,4,6}:{(2245,1),(2287,1),(2329,1),(2606,1),(2646,1),(2857,1)}
2463:{1,4,6}:{(2244,1),(2286,1),(2328,1),(2607,1),(2647,1),(2858,1)}
2464:{1,4,6,7}:{(2246,1),(2280,1),(2285,1),(2332,1),(2542,1),(2609,1),(2621,1)}
2465:{1,4,6,7}:{(2247,1),(2281,1),(2284,1),(2333,1),(2545,1),(2608,1),(2620,1)}
2466:{1,3,5,7}:{(2248,1),(2276,1),(2291,1),(2293,1),(2548,1),(2553,1),(2609,1),(2613,1),(2991,1)}
2467:{1,3,5,7}:{(2249,1),(2277,1),(2290,1),(2292,1),(2551,1),(2557,1),(2608,1),(2612,1),(2976,1)}
2468:{3,5,7}:{(2279,1),(2295,1),(2296,1),(2556,1),(2614,1)}
2469:{3,5,7}:{(2278,1),(2294,1),(2297,1),(2554,1),(2615,1)}
2470:{3,4,7}:{(2280,1),(2294,1),(2299,1),(2548,1),(2643,1)}
2471:{3,4,7}:{(2281,1),(2295,1),(2298,1),(2551,1),(2642,1)}
2472:{3,4,5,7}:{(2283,1),(2300,1),(2303,1),(2344,1),(2556,1),(2616,1),(2619,1),(2645,1),(2652,1),(2789,1),(2837,1),(2966,1)}
2473:{3,4,5,7}:{(2282,1),(2301,1),(2302,1),(2344,1),(2554,1),(2617,1),(2618,1),(2644,1),(2652,1),(2798,1),(2841,1),(3008,1)}
2474:{3,4,6}:{(2284,1),(2302,1),(2337,1),(2617,1),(2623,1)}
2475:{3,4,6}:{(2285,1),(2303,1),(2336,1),(2616,1),(2622,1)}
2476:{1,2,5}:{(2233,1),(2308,1),(2586,1),(2597,1),(2605,1),(2607,1),(2993,1)}
2477:{1,2,5}:{(2232,1),(2309,1),(2587,1),(2596,1),(2604,1),(2606,1),(3012,1)}
2478:{1,2,5,6}:{(2252,1),(2273,1),(2305,1),(2587,1),(2599,1),(2624,1),(2627,1),(2804,1),(2971,1)}
2479:{1,2,5,6}:{(2253,1),(2272,1),(2304,1),(2586,1),(2598,1),(2625,1),(2626,1),(2810,1),(2980,1)}
2480:{1,2,4,7}:{(2255,1),(2275,1),(2305,1),(2306,1),(2570,1),(2589,1),(2601,1),(2624,1),(2834,1)}
2481:{1,2,4,7}:{(2254,1),(2274,1),(2304,1),(2307,1),(2567,1),(2588,1),(2600,1),(2625,1),(2831,1)}
2482:{1,2,5,7}:{(2256,1),(2277,1),(2312,1),(2315,1),(2566,1),(2626,1),(2810,1)}
2483:{1,2,5,7}:{(2257,1),(2276,1),(2313,1),(2314,1),(2571,1),(2627,1),(2804,1)}
2484:{1,2,5,7}:{(2258,1),(2278,1),(2316,1),(2318,1),(2561,1),(2609,1),(2641,1),(3004,1)}
2485:{1,2,5,7}:{(2259,1),(2279,1),(2317,1),(2319,1),(2568,1),(2608,1),(2640,1),(2997,1)}
2486:{1,2,4,7}:{(2260,1),(2281,1),(2312,1),(2320,1),(2564,1),(2642,1),(2832,1)}
2487:{1,2,4,7}:{(2261,1),(2280,1),(2313,1),(2321,1),(2562,1),(2643,1),(2828,1)}
2488:{1,2,5,7}:{(2262,1),(2282,1),(2322,1),(2324,1),(2561,1),(2629,1),(2633,1),(2644,1)}
2489:{1,2,5,7}:{(2263,1),(2283,1),(2323,1),(2325,1),(2568,1),(2628,1),(2632,1),(2645,1)}
2490:{1,2,4,6}:{(2265,1),(2285,1),(2325,1),(2334,1),(2628,1),(2632,1),(2636,1),(2649,1),(2869,1)}
2491:{1,2,4,6}:{(2264,1),(2284,1),(2324,1),(2335,1),(2629,1),(2633,1),(2637,1),(2648,1),(2870,1)}
2492:{1,2,3,6,7}:{(2269,1),(2291,1),(2313,1),(2334,1),(2627,1),(2635,1),(2639,1),(2643,1),(2812,1),(2984,1)}
2493:{1,2,3,6,7}:{(2268,1),(2290,1),(2312,1),(2335,1),(2626,1),(2634,1),(2638,1),(2642,1),(2817,1),(3006,1)}
2494:{1,2,3,5}:{(2267,1),(2293,1),(2314,1),(2334,1),(2574,1),(2583,1),(2628,1),(2636,1),(2843,1)}
2495:{1,2,3,5}:{(2266,1),(2292,1),(2315,1),(2335,1),(2578,1),(2582,1),(2629,1),(2637,1),(2845,1)}
2496:{2,3,6,7}:{(2294,1),(2316,1),(2336,1),(2615,1),(2621,1),(2641,1),(2643,1),(2988,1)}
2497:{2,3,6,7}:{(2295,1),(2317,1),(2337,1),(2614,1),(2620,1),(2640,1),(2642,1),(3003,1)}
2498:{2,3,5,6}:{(2297,1),(2318,1),(2336,1),(2346,1),(2572,1),(2616,1),(2622,1),(2641,1),(2787,1),(2835,1),(2988,1)}
2499:{2,3,5,6}:{(2296,1),(2319,1),(2337,1),(2346,1),(2581,1),(2617,1),(2623,1),(2640,1),(2797,1),(2842,1),(3003,1)}
2500:{2,3,6}:{(2298,1),(2320,1),(2338,1),(2582,1),(2642,1)}
2501:{2,3,6}:{(2299,1),(2321,1),(2339,1),(2583,1),(2643,1)}
2502:{2,3,5}:{(2300,1),(2323,1),(2339,1),(2581,1),(2651,1),(2842,1)}
2503:{2,3,5}:{(2301,1),(2322,1),(2338,1),(2572,1),(2650,1),(2835,1)}
2504:{2,3,4,7}:{(2303,1),(2325,1),(2339,1),(2643,1),(2645,1),(2649,1),(2651,1),(2828,1),(2966,1)}
2505:{2,3,4,7}:{(2302,1),(2324,1),(2338,1),(2642,1),(2644,1),(2648,1),(2650,1),(2832,1),(3008,1)}
2506:{1,2,3,7}:{(2270,1),(2286,1),(2340,1),(2550,1),(2555,1),(2565,1),(2567,1),(2647,1)}
2507:{1,2,3,7}:{(2271,1),(2287,1),(2341,1),(2552,1),(2559,1),(2563,1),(2570,1),(2646,1)}
2508:{3,6}:{(2343,1),(2344,1)}
2509:{4}:{(2346,1)}
2510:{1,2,5,6}:{(2342,1),(2343,1),(2345,1),(2610,1),(2611,1),(2632,1),(2633,1),(2653,1)}
2511:{2,3,5,7}:{(2344,1),(2345,1),(2346,1),(2347,1),(2616,1),(2617,1),(2652,1),(2653,1),(2789,1),(2798,1),(2835,1),(2842,1),(2997,1),(3004,1)}
2512:{3,5}:{(2355,1),(2421,1),(2666,1)}
2513:{3,4,5}:{(2353,1),(2421,1),(2423,1),(2660,1),(2672,1),(2727,1),(2728,1),(2893,1)}
2514:{5,7}:{(2349,1),(2427,1)}
2515:{5,7}:{(2356,1),(2426,1)}
2516:{4,5}:{(2350,1),(2423,1),(2662,1),(2727,1)}
2517:{5,6,7}:{(2357,1),(2425,1),(2427,1)}
2518:{4,5}:{(2352,1),(2422,1),(2654,1),(2726,1)}
2519:{5,6}:{(2359,1),(2424,1)}
2520:{5,6}:{(2354,1),(2425,1)}
2521:{3,5}:{(2358,1),(2420,1),(2677,1)}
2522:{3,4,5}:{(2351,1),(2420,1),(2422,1),(2655,1),(2674,1),(2726,1),(2729,1),(2889,1)}
2523:{5,6,7}:{(2348,1),(2424,1),(2426,1)}
2524:{2,6,7}:{(2357,1),(2366,1),(2443,1)}
2525:{2,3,4,6}:{(2358,1),(2368,1),(2433,1),(2439,1),(2659,1),(2693,1),(2730,1),(2736,1),(2883,1),(2931,1)}
2526:{2,3,4,6}:{(2355,1),(2370,1),(2432,1),(2438,1),(2661,1),(2699,1),(2731,1),(2737,1),(2877,1),(2935,1)}
2527:{2,6,7}:{(2349,1),(2369,1),(2443,1),(2663,1)}
2528:{2,6,7}:{(2348,1),(2367,1),(2442,1)}
2529:{2,6}:{(2350,1),(2362,1),(2662,1)}
2530:{2,3,6}:{(2353,1),(2360,1),(2432,1),(2660,1),(2701,1)}
2531:{2,6,7}:{(2356,1),(2364,1),(2442,1),(2665,1)}
2532:{2,6}:{(2352,1),(2361,1),(2654,1)}
2533:{2,4,6}:{(2359,1),(2363,1),(2438,1),(2656,1),(2731,1)}
2534:{2,4,6}:{(2354,1),(2371,1),(2439,1),(2664,1),(2730,1)}
2535:{2,3,6}:{(2351,1),(2365,1),(2433,1),(2655,1),(2690,1)}
2536:{1,4,6}:{(2358,1),(2377,1),(2417,1),(2677,1),(2681,1),(2896,1)}
2537:{1,4,6}:{(2353,1),(2373,1),(2414,1),(2672,1),(2689,1),(2701,1)}
2538:{1,4,6,7}:{(2349,1),(2374,1),(2419,1),(2460,1),(2671,1),(2688,1),(2700,1),(2909,1)}
2539:{1,4,6}:{(2350,1),(2376,1),(2415,1),(2675,1),(2685,1),(2692,1),(2928,1)}
2540:{1,4,6}:{(2352,1),(2380,1),(2410,1),(2673,1),(2687,1),(2698,1),(2925,1)}
2541:{1,4,6}:{(2351,1),(2383,1),(2409,1),(2674,1),(2678,1),(2690,1)}
2542:{1,4,6}:{(2354,1),(2378,1),(2408,1),(2668,1),(2682,1),(2891,1)}
2543:{1,4,6,7}:{(2356,1),(2381,1),(2413,1),(2461,1),(2669,1),(2680,1),(2691,1),(2905,1)}
2544:{1,4,6,7}:{(2357,1),(2382,1),(2412,1),(2460,1),(2676,1),(2686,1),(2696,1)}
2545:{1,4,6}:{(2359,1),(2375,1),(2416,1),(2667,1),(2679,1),(2898,1)}
2546:{1,4,6}:{(2355,1),(2379,1),(2411,1),(2666,1),(2683,1),(2890,1)}
2547:{1,4,6,7}:{(2348,1),(2372,1),(2418,1),(2461,1),(2670,1),(2684,1),(2697,1)}
2548:{3,5,7}:{(2378,1),(2391,1),(2470,1),(2682,1)}
2549:{3,4,5,7}:{(2382,1),(2392,1),(2469,1),(2470,1),(2686,1),(2705,1),(2742,1),(2747,1),(2897,1)}
2550:{1,3,7}:{(2373,1),(2394,1),(2431,1),(2689,1)}
2551:{3,5,7}:{(2375,1),(2389,1),(2471,1),(2679,1)}
2552:{1,3,7}:{(2383,1),(2387,1),(2430,1),(2678,1)}
2553:{1,3,7}:{(2377,1),(2393,1),(2430,1),(2681,1)}
2554:{3,4,7}:{(2381,1),(2395,1),(2469,1),(2702,1),(2747,1)}
2555:{3,7}:{(2376,1),(2384,1),(2685,1)}
2556:{3,4,7}:{(2374,1),(2386,1),(2468,1),(2710,1),(2746,1)}
2557:{1,3,7}:{(2379,1),(2385,1),(2431,1),(2683,1)}
2558:{3,4,5,7}:{(2372,1),(2390,1),(2468,1),(2471,1),(2684,1),(2706,1),(2743,1),(2746,1),(2899,1)}
2559:{3,7}:{(2380,1),(2388,1),(2687,1)}
2560:{1,2,4,5,7}:{(2371,1),(2378,1),(2398,1),(2483,1),(2487,1),(2695,1),(2709,1),(2753,1),(2756,1),(2907,1),(2937,1)}
2561:{1,2,7}:{(2364,1),(2381,1),(2405,1),(2702,1)}
2562:{1,2,5,7}:{(2366,1),(2382,1),(2399,1),(2487,1),(2696,1),(2705,1)}
2563:{1,2,7}:{(2361,1),(2380,1),(2406,1),(2698,1),(2707,1)}
2564:{1,2,5,7}:{(2367,1),(2372,1),(2407,1),(2486,1),(2697,1),(2706,1)}
2565:{1,2,7}:{(2362,1),(2376,1),(2401,1),(2692,1),(2713,1)}
2566:{1,2,4,7}:{(2370,1),(2379,1),(2400,1),(2482,1),(2699,1),(2712,1),(2757,1)}
2567:{1,2,7}:{(2360,1),(2373,1),(2403,1),(2701,1)}
2568:{1,2,7}:{(2369,1),(2374,1),(2396,1),(2710,1)}
2569:{1,2,4,5,7}:{(2363,1),(2375,1),(2397,1),(2482,1),(2486,1),(2694,1),(2704,1),(2752,1),(2757,1),(2908,1),(2944,1)}
2570:{1,2,7}:{(2365,1),(2383,1),(2404,1),(2690,1)}
2571:{1,2,4,7}:{(2368,1),(2377,1),(2402,1),(2483,1),(2693,1),(2708,1),(2756,1)}
2572:{2,3,6}:{(2395,1),(2405,1),(2503,1),(2702,1),(2715,1)}
2573:{1,2,3}:{(2387,1),(2404,1),(2448,1),(2725,1)}
2574:{1,2,3}:{(2393,1),(2402,1),(2448,1),(2714,1)}
2575:{2,3,5,6}:{(2390,1),(2407,1),(2500,1),(2503,1),(2706,1),(2716,1),(2766,1),(2768,1),(2956,1)}
2576:{2,3}:{(2384,1),(2401,1),(2722,1)}
2577:{2,3,5,6}:{(2392,1),(2399,1),(2501,1),(2502,1),(2705,1),(2721,1),(2767,1),(2769,1),(2958,1)}
2578:{1,2,3}:{(2385,1),(2400,1),(2449,1),(2720,1)}
2579:{1,2,3}:{(2394,1),(2403,1),(2449,1),(2719,1)}
2580:{2,3}:{(2388,1),(2406,1),(2723,1)}
2581:{2,3,6}:{(2386,1),(2396,1),(2502,1),(2710,1),(2724,1)}
2582:{2,3,5}:{(2389,1),(2397,1),(2500,1),(2717,1)}
2583:{2,3,5}:{(2391,1),(2398,1),(2501,1),(2718,1)}
2584:{3,6}:{(2431,1),(2453,1),(2728,1)}
2585:{3,6}:{(2430,1),(2452,1),(2729,1)}
2586:{2,5}:{(2421,1),(2432,1)}
2587:{2,5}:{(2420,1),(2433,1)}
2588:{4,7}:{(2434,1),(2447,1),(2731,1)}
2589:{4,7}:{(2435,1),(2446,1),(2730,1)}
2590:{4,5}:{(2434,1),(2436,1),(2735,1),(2740,1)}
2591:{4,5}:{(2435,1),(2437,1),(2734,1),(2741,1)}
2592:{2,5,7}:{(2425,1),(2437,1),(2444,1),(2664,1),(2733,1)}
2593:{2,5,7}:{(2424,1),(2436,1),(2445,1),(2656,1),(2732,1)}
2594:{2,5,6}:{(2427,1),(2437,1),(2443,1),(2663,1),(2734,1)}
2595:{2,5,6}:{(2426,1),(2436,1),(2442,1),(2665,1),(2735,1)}
2596:{2,3,5}:{(2422,1),(2451,1),(2477,1),(2654,1),(2726,1),(2729,1),(2884,1)}
2597:{2,3,5}:{(2423,1),(2450,1),(2476,1),(2662,1),(2727,1),(2728,1),(2888,1)}
2598:{2,3,5,6}:{(2428,1),(2438,1),(2447,1),(2479,1),(2656,1),(2661,1),(2731,1),(2737,1),(2885,1)}
2599:{2,3,5,6}:{(2429,1),(2439,1),(2446,1),(2478,1),(2659,1),(2664,1),(2730,1),(2736,1),(2880,1)}
2600:{2,3,7}:{(2431,1),(2449,1),(2481,1),(2737,1),(2739,1)}
2601:{2,3,7}:{(2430,1),(2448,1),(2480,1),(2736,1),(2738,1)}
2602:{3,4}:{(2434,1),(2449,1),(2719,1),(2740,1)}
2603:{3,4}:{(2435,1),(2448,1),(2725,1),(2741,1)}
2604:{1,4,5}:{(2420,1),(2452,1),(2477,1),(2677,1),(2726,1),(2729,1),(2896,1)}
2605:{1,4,5}:{(2421,1),(2453,1),(2476,1),(2666,1),(2727,1),(2728,1),(2890,1)}
2606:{1,5}:{(2422,1),(2462,1)}
2607:{1,5}:{(2423,1),(2463,1)}
2608:{1,5,7}:{(2424,1),(2455,1),(2465,1),(2667,1),(2743,1)}
2609:{1,5,7}:{(2425,1),(2454,1),(2464,1),(2668,1),(2742,1)}
2610:{1,5,6}:{(2427,1),(2454,1),(2460,1),(2671,1),(2744,1)}
2611:{1,5,6}:{(2426,1),(2455,1),(2461,1),(2669,1),(2745,1)}
2612:{1,3,5,6}:{(2428,1),(2456,1),(2467,1),(2666,1),(2667,1),(2679,1),(2683,1)}
2613:{1,3,5,6}:{(2429,1),(2457,1),(2466,1),(2668,1),(2677,1),(2681,1),(2682,1)}
2614:{3,6,7}:{(2458,1),(2468,1),(2508,1)}
2615:{3,6,7}:{(2459,1),(2469,1),(2508,1)}
2616:{3,5}:{(2454,1),(2475,1),(2748,1)}
2617:{3,5}:{(2455,1),(2474,1),(2749,1)}
2618:{3,4,6}:{(2461,1),(2473,1),(2508,1),(2745,1),(2766,1),(2774,1)}
2619:{3,4,6}:{(2460,1),(2472,1),(2508,1),(2744,1),(2767,1),(2774,1)}
2620:{3,4,6,7}:{(2465,1),(2471,1),(2474,1),(2497,1),(2679,1),(2743,1),(2746,1),(2898,1)}
2621:{3,4,6,7}:{(2464,1),(2470,1),(2475,1),(2496,1),(2682,1),(2742,1),(2747,1),(2891,1)}
2622:{4,6}:{(2498,1),(2509,1),(2747,1),(2748,1)}
2623:{4,6}:{(2499,1),(2509,1),(2746,1),(2749,1)}
2624:{1,2,4,6}:{(2433,1),(2452,1),(2478,1),(2480,1),(2690,1),(2730,1),(2736,1),(2751,1),(2929,1)}
2625:{1,2,4,6}:{(2432,1),(2453,1),(2479,1),(2481,1),(2701,1),(2731,1),(2737,1),(2750,1),(2927,1)}
2626:{1,2,6}:{(2438,1),(2456,1),(2482,1)}
2627:{1,2,6}:{(2439,1),(2457,1),(2483,1)}
2628:{1,2,5}:{(2437,1),(2454,1),(2490,1),(2759,1),(2769,1)}
2629:{1,2,5}:{(2436,1),(2455,1),(2491,1),(2758,1),(2768,1)}
2630:{1,2,5,6,7}:{(2441,1),(2459,1),(2484,1),(2510,1),(2669,1),(2676,1),(2691,1),(2696,1),(2764,1)}
2631:{1,2,5,6,7}:{(2440,1),(2458,1),(2485,1),(2510,1),(2670,1),(2671,1),(2697,1),(2700,1),(2765,1)}
2632:{1,2,6}:{(2443,1),(2460,1),(2489,1),(2767,1)}
2633:{1,2,6}:{(2442,1),(2461,1),(2488,1),(2766,1)}
2634:{1,2,4,6,7}:{(2445,1),(2465,1),(2486,1),(2491,1),(2493,1),(2694,1),(2697,1),(2752,1),(2757,1),(2771,1),(2911,1)}
2635:{1,2,4,6,7}:{(2444,1),(2464,1),(2487,1),(2490,1),(2492,1),(2695,1),(2696,1),(2753,1),(2756,1),(2770,1),(2910,1)}
2636:{1,4}:{(2435,1),(2494,1),(2718,1)}
2637:{1,4}:{(2434,1),(2495,1),(2717,1)}
2638:{1,2,3,5,7}:{(2447,1),(2467,1),(2482,1),(2493,1),(2495,1),(2704,1),(2712,1),(2752,1),(2757,1),(2763,1),(2948,1)}
2639:{1,2,3,5,7}:{(2446,1),(2466,1),(2483,1),(2492,1),(2494,1),(2708,1),(2709,1),(2753,1),(2756,1),(2762,1),(2946,1)}
2640:{2,3,5,7}:{(2468,1),(2485,1),(2497,1),(2499,1),(2710,1),(2743,1),(2746,1),(2947,1)}
2641:{2,3,5,7}:{(2469,1),(2484,1),(2496,1),(2498,1),(2702,1),(2742,1),(2747,1),(2945,1)}
2642:{2,3,7}:{(2471,1),(2486,1),(2500,1)}
2643:{2,3,7}:{(2470,1),(2487,1),(2501,1)}
2644:{2,3,5,7}:{(2473,1),(2488,1),(2503,1),(2505,1),(2702,1),(2766,1),(2768,1),(2772,1)}
2645:{2,3,5,7}:{(2472,1),(2489,1),(2502,1),(2504,1),(2710,1),(2767,1),(2769,1),(2773,1)}
2646:{1,2,3,6}:{(2451,1),(2462,1),(2507,1),(2678,1),(2687,1),(2690,1),(2698,1),(2761,1)}
2647:{1,2,3,6}:{(2450,1),(2463,1),(2506,1),(2685,1),(2689,1),(2692,1),(2701,1),(2760,1)}
2648:{2,3,4,6}:{(2474,1),(2491,1),(2500,1),(2505,1),(2716,1),(2717,1),(2766,1),(2768,1),(2955,1)}
2649:{2,3,4,6}:{(2475,1),(2490,1),(2501,1),(2504,1),(2718,1),(2721,1),(2767,1),(2769,1),(2957,1)}
2650:{2,4}:{(2503,1),(2509,1)}
2651:{2,4}:{(2502,1),(2509,1)}
2652:{4,5,7}:{(2509,1),(2511,1),(2746,1),(2747,1),(2748,1),(2749,1),(2774,1)}
2653:{2,3,5,6}:{(2508,1),(2510,1),(2511,1),(2744,1),(2745,1),(2766,1),(2767,1),(2774,1),(2956,1),(2958,1)}
2654:{2,5}:{(2518,1),(2532,1),(2782,1)}
2655:{2,3,5}:{(2522,1),(2535,1),(2587,1),(2778,1),(2803,1),(3009,1)}
2656:{2,5,6}:{(2519,1),(2533,1),(2593,1),(2777,1)}
2657:{2,5,6,7}:{(2517,1),(2524,1),(2592,1),(2594,1),(2784,1)}
2658:{2,5,6,7}:{(2523,1),(2528,1),(2593,1),(2595,1),(2786,1)}
2659:{2,3,5}:{(2521,1),(2525,1),(2587,1),(2776,1),(2804,1),(2991,1)}
2660:{2,3,5}:{(2513,1),(2530,1),(2586,1),(2781,1),(2805,1),(2968,1)}
2661:{2,3,5}:{(2512,1),(2526,1),(2586,1),(2783,1),(2810,1),(2976,1)}
2662:{2,5}:{(2516,1),(2529,1),(2775,1)}
2663:{2,5,7}:{(2514,1),(2527,1),(2594,1),(2779,1)}
2664:{2,5,6}:{(2520,1),(2534,1),(2592,1),(2780,1)}
2665:{2,5,7}:{(2515,1),(2531,1),(2595,1),(2785,1)}
2666:{1,5}:{(2512,1),(2546,1)}
2667:{1,5,6}:{(2519,1),(2545,1),(2608,1),(2797,1)}
2668:{1,5,6}:{(2520,1),(2542,1),(2609,1),(2787,1)}
2669:{1,5,7}:{(2515,1),(2543,1),(2611,1),(2798,1)}
2670:{1,5,6,7}:{(2523,1),(2547,1),(2608,1),(2611,1),(2790,1)}
2671:{1,5,7}:{(2514,1),(2538,1),(2610,1),(2789,1)}
2672:{1,4,5}:{(2513,1),(2537,1),(2607,1),(2791,1),(2805,1),(2858,1)}
2673:{1,4,5}:{(2518,1),(2540,1),(2606,1),(2788,1),(2800,1),(2857,1),(3011,1)}
2674:{1,4,5}:{(2522,1),(2541,1),(2606,1),(2796,1),(2803,1),(2857,1)}
2675:{1,4,5}:{(2516,1),(2539,1),(2607,1),(2792,1),(2809,1),(2858,1),(3001,1)}
2676:{1,5,6,7}:{(2517,1),(2544,1),(2609,1),(2610,1),(2794,1)}
2677:{1,5}:{(2521,1),(2536,1)}
2678:{1,3,6}:{(2541,1),(2552,1),(2585,1),(2796,1)}
2679:{3,6}:{(2545,1),(2551,1)}
2680:{3,4,6,7}:{(2543,1),(2554,1),(2615,1),(2618,1),(2798,1),(2813,1),(2859,1),(3008,1)}
2681:{1,3,6}:{(2536,1),(2553,1),(2585,1),(2793,1)}
2682:{3,6}:{(2542,1),(2548,1)}
2683:{1,3,6}:{(2546,1),(2557,1),(2584,1),(2795,1)}
2684:{3,4,6,7}:{(2547,1),(2558,1),(2614,1),(2618,1),(2790,1),(2815,1),(2860,1)}
2685:{3,6}:{(2539,1),(2555,1),(2792,1)}
2686:{3,4,6,7}:{(2544,1),(2549,1),(2615,1),(2619,1),(2794,1),(2811,1),(2859,1)}
2687:{3,6}:{(2540,1),(2559,1),(2788,1)}
2688:{3,4,6,7}:{(2538,1),(2556,1),(2614,1),(2619,1),(2789,1),(2819,1),(2860,1),(2966,1)}
2689:{1,3,6}:{(2537,1),(2550,1),(2584,1),(2791,1)}
2690:{1,2,6}:{(2535,1),(2541,1),(2570,1),(2803,1)}
2691:{1,2,6,7}:{(2531,1),(2543,1),(2561,1),(2633,1),(2806,1),(2813,1)}
2692:{1,2,6}:{(2529,1),(2539,1),(2565,1),(2809,1),(2820,1)}
2693:{1,2,4,6}:{(2525,1),(2536,1),(2571,1),(2627,1),(2804,1),(2818,1),(2865,1),(2962,1)}
2694:{1,2,4,6}:{(2533,1),(2545,1),(2569,1),(2626,1),(2801,1),(2817,1),(2866,1),(2998,1)}
2695:{1,2,4,6}:{(2534,1),(2542,1),(2560,1),(2627,1),(2802,1),(2812,1),(2865,1),(2979,1)}
2696:{1,2,6,7}:{(2524,1),(2544,1),(2562,1),(2632,1),(2811,1)}
2697:{1,2,6,7}:{(2528,1),(2547,1),(2564,1),(2633,1),(2815,1)}
2698:{1,2,6}:{(2532,1),(2540,1),(2563,1),(2800,1),(2822,1)}
2699:{1,2,4,6}:{(2526,1),(2546,1),(2566,1),(2626,1),(2810,1),(2814,1),(2866,1),(2987,1)}
2700:{1,2,6,7}:{(2527,1),(2538,1),(2568,1),(2632,1),(2807,1),(2819,1)}
2701:{1,2,6}:{(2530,1),(2537,1),(2567,1),(2805,1)}
2702:{2,3,7}:{(2554,1),(2561,1),(2572,1),(2829,1)}
2703:{1,2,3,7}:{(2550,1),(2567,1),(2579,1),(2600,1),(2816,1),(2831,1)}
2704:{2,3,5,7}:{(2551,1),(2569,1),(2582,1),(2642,1),(2817,1),(2823,1),(2976,1)}
2705:{2,3,5,7}:{(2549,1),(2562,1),(2577,1),(2643,1),(2811,1),(2828,1),(3004,1)}
2706:{2,3,5,7}:{(2558,1),(2564,1),(2575,1),(2642,1),(2815,1),(2832,1),(2997,1)}
2707:{2,3,7}:{(2559,1),(2563,1),(2580,1),(2822,1),(2827,1)}
2708:{1,2,3,7}:{(2553,1),(2571,1),(2574,1),(2601,1),(2818,1),(2830,1)}
2709:{2,3,5,7}:{(2548,1),(2560,1),(2583,1),(2643,1),(2812,1),(2825,1),(2991,1)}
2710:{2,3,7}:{(2556,1),(2568,1),(2581,1),(2833,1)}
2711:{1,2,3,7}:{(2552,1),(2570,1),(2573,1),(2601,1),(2821,1),(2834,1)}
2712:{1,2,3,7}:{(2557,1),(2566,1),(2578,1),(2600,1),(2814,1),(2826,1)}
2713:{2,3,7}:{(2555,1),(2565,1),(2576,1),(2820,1),(2824,1)}
2714:{1,3,4}:{(2574,1),(2603,1),(2636,1),(2843,1)}
2715:{2,4,6}:{(2572,1),(2622,1),(2650,1),(2829,1),(2835,1),(2988,1)}
2716:{2,4,6}:{(2575,1),(2623,1),(2650,1),(2832,1),(2844,1)}
2717:{3,4}:{(2582,1),(2637,1)}
2718:{3,4}:{(2583,1),(2636,1)}
2719:{1,4}:{(2579,1),(2602,1),(2839,1)}
2720:{1,3,4}:{(2578,1),(2602,1),(2637,1),(2845,1)}
2721:{2,4,6}:{(2577,1),(2622,1),(2651,1),(2828,1),(2846,1)}
2722:{4}:{(2576,1),(2836,1)}
2723:{4}:{(2580,1),(2838,1)}
2724:{2,4,6}:{(2581,1),(2623,1),(2651,1),(2833,1),(2842,1),(3003,1)}
2725:{1,4}:{(2573,1),(2603,1),(2840,1)}
2726:{4}:{(2596,1)}
2727:{4}:{(2597,1)}
2728:{3,5}:{(2584,1),(2605,1),(2847,1)}
2729:{3,5}:{(2585,1),(2604,1),(2848,1)}
2730:{4,6}:{(2589,1),(2599,1),(2776,1)}
2731:{4,6}:{(2588,1),(2598,1),(2783,1)}
2732:{4,5,7}:{(2588,1),(2590,1),(2593,1),(2777,1),(2786,1),(2854,1)}
2733:{4,5,7}:{(2589,1),(2591,1),(2592,1),(2780,1),(2784,1),(2853,1)}
2734:{4,6}:{(2591,1),(2594,1),(2779,1),(2856,1)}
2735:{4,6}:{(2590,1),(2595,1),(2785,1),(2855,1)}
2736:{2,3,6}:{(2585,1),(2601,1),(2624,1),(2849,1),(2851,1)}
2737:{2,3,6}:{(2584,1),(2600,1),(2625,1),(2850,1),(2852,1)}
2738:{3,4,7}:{(2589,1),(2601,1),(2603,1),(2834,1),(2851,1),(2853,1)}
2739:{3,4,7}:{(2588,1),(2600,1),(2602,1),(2831,1),(2852,1),(2854,1)}
2740:{3,5}:{(2590,1),(2602,1),(2839,1),(2855,1)}
2741:{3,5}:{(2591,1),(2603,1),(2840,1),(2856,1)}
2742:{3,5,7}:{(2609,1),(2616,1),(2621,1),(2787,1),(2862,1)}
2743:{3,5,7}:{(2608,1),(2617,1),(2620,1),(2797,1),(2861,1)}
2744:{3,5,6}:{(2610,1),(2616,1),(2619,1),(2789,1),(2863,1)}
2745:{3,5,6}:{(2611,1),(2617,1),(2618,1),(2798,1),(2864,1)}
2746:{4,7}:{(2623,1),(2640,1)}
2747:{4,7}:{(2622,1),(2641,1)}
2748:{4,5}:{(2616,1),(2622,1),(2835,1)}
2749:{4,5}:{(2617,1),(2623,1),(2842,1)}
2750:{1,2,4,5}:{(2586,1),(2605,1),(2625,1),(2781,1),(2783,1),(2805,1),(2810,1),(2850,1),(2986,1),(2987,1)}
2751:{1,2,4,5}:{(2587,1),(2604,1),(2624,1),(2776,1),(2778,1),(2803,1),(2804,1),(2849,1),(2962,1),(2963,1)}
2752:{1,2,5,7}:{(2593,1),(2608,1),(2629,1),(2634,1),(2801,1),(2867,1),(2871,1)}
2753:{1,2,5,7}:{(2592,1),(2609,1),(2628,1),(2635,1),(2802,1),(2868,1),(2872,1)}
2754:{1,2,5,6}:{(2595,1),(2611,1),(2629,1),(2633,1),(2806,1),(2870,1),(2873,1)}
2755:{1,2,5,6}:{(2594,1),(2610,1),(2628,1),(2632,1),(2807,1),(2869,1),(2874,1)}
2756:{1,4,7}:{(2589,1),(2636,1),(2639,1),(2825,1),(2865,1)}
2757:{1,4,7}:{(2588,1),(2637,1),(2638,1),(2823,1),(2866,1)}
2758:{1,4,5}:{(2590,1),(2629,1),(2637,1),(2841,1),(2845,1),(2870,1)}
2759:{1,4,5}:{(2591,1),(2628,1),(2636,1),(2837,1),(2843,1),(2869,1)}
2760:{1,2,3,5}:{(2597,1),(2607,1),(2647,1),(2791,1),(2792,1),(2805,1),(2809,1),(2858,1),(2968,1),(2969,1)}
2761:{1,2,3,5}:{(2596,1),(2606,1),(2646,1),(2788,1),(2796,1),(2800,1),(2803,1),(2857,1),(3009,1),(3010,1)}
2762:{1,2,3,5,6}:{(2599,1),(2613,1),(2627,1),(2639,1),(2802,1),(2804,1),(2812,1),(2818,1),(2865,1),(2990,1),(2991,1)}
2763:{1,2,3,5,6}:{(2598,1),(2612,1),(2626,1),(2638,1),(2801,1),(2810,1),(2814,1),(2817,1),(2866,1),(2973,1),(2976,1)}
2764:{2,3,5,6,7}:{(2615,1),(2630,1),(2641,1),(2653,1),(2794,1),(2798,1),(2811,1),(2813,1),(2859,1),(3004,1),(3015,1)}
2765:{2,3,5,6,7}:{(2614,1),(2631,1),(2640,1),(2653,1),(2789,1),(2790,1),(2815,1),(2819,1),(2860,1),(2995,1),(2997,1)}
2766:{2,3,6}:{(2618,1),(2633,1),(2644,1),(2876,1)}
2767:{2,3,6}:{(2619,1),(2632,1),(2645,1),(2875,1)}
2768:{2,3,5}:{(2617,1),(2629,1),(2648,1),(2841,1),(2844,1)}
2769:{2,3,5}:{(2616,1),(2628,1),(2649,1),(2837,1),(2846,1)}
2770:{2,3,4,6,7}:{(2621,1),(2635,1),(2643,1),(2649,1),(2811,1),(2812,1),(2825,1),(2828,1),(2872,1),(2978,1),(2979,1)}
2771:{2,3,4,6,7}:{(2620,1),(2634,1),(2642,1),(2648,1),(2815,1),(2817,1),(2823,1),(2832,1),(2871,1),(2996,1),(2998,1)}
2772:{2,4,5,7}:{(2644,1),(2650,1),(2652,1),(2829,1),(2832,1),(2835,1),(2844,1),(2876,1),(2997,1)}
2773:{2,4,5,7}:{(2645,1),(2651,1),(2652,1),(2828,1),(2833,1),(2842,1),(2846,1),(2875,1),(3004,1)}
2774:{4,6}:{(2652,1),(2653,1)}
2775:{2,4}:{(2662,1),(2727,1),(2888,1)}
2776:{4,5}:{(2659,1),(2730,1)}
2777:{4,5,6}:{(2656,1),(2731,1),(2732,1),(2885,1)}
2778:{2,4}:{(2655,1),(2726,1)}
2779:{4,7}:{(2663,1),(2734,1),(2882,1)}
2780:{4,5,6}:{(2664,1),(2730,1),(2733,1),(2880,1)}
2781:{2,4}:{(2660,1),(2727,1)}
2782:{2,4}:{(2654,1),(2726,1),(2884,1)}
2783:{4,5}:{(2661,1),(2731,1)}
2784:{4,6,7}:{(2657,1),(2733,1),(2734,1),(2878,1)}
2785:{4,7}:{(2665,1),(2735,1),(2886,1)}
2786:{4,6,7}:{(2658,1),(2732,1),(2735,1),(2879,1)}
2787:{3,5,6}:{(2668,1),(2682,1),(2742,1),(2891,1)}
2788:{3,5}:{(2673,1),(2687,1),(2889,1)}
2789:{3,5,7}:{(2671,1),(2688,1),(2744,1),(2899,1)}
2790:{3,5,6,7}:{(2670,1),(2684,1),(2743,1),(2745,1),(2900,1)}
2791:{1,3,5}:{(2672,1),(2689,1),(2728,1),(2892,1)}
2792:{3,5}:{(2675,1),(2685,1),(2893,1)}
2793:{1,3,5}:{(2677,1),(2681,1),(2729,1),(2896,1)}
2794:{3,5,6,7}:{(2676,1),(2686,1),(2742,1),(2744,1),(2895,1)}
2795:{1,3,5}:{(2666,1),(2683,1),(2728,1),(2890,1)}
2796:{1,3,5}:{(2674,1),(2678,1),(2729,1),(2894,1)}
2797:{3,5,6}:{(2667,1),(2679,1),(2743,1),(2898,1)}
2798:{3,5,7}:{(2669,1),(2680,1),(2745,1),(2897,1)}
2799:{1,2,5,6,7}:{(2658,1),(2670,1),(2697,1),(2752,1),(2754,1),(2911,1),(2923,1)}
2800:{1,2,5}:{(2654,1),(2673,1),(2698,1),(2901,1),(2917,1)}
2801:{1,2,5,6}:{(2656,1),(2667,1),(2694,1),(2752,1),(2906,1),(2918,1)}
2802:{1,2,5,6}:{(2664,1),(2668,1),(2695,1),(2753,1),(2903,1),(2913,1)}
2803:{1,2,5}:{(2655,1),(2674,1),(2690,1),(2902,1)}
2804:{1,2,5}:{(2659,1),(2677,1),(2693,1),(2907,1)}
2805:{1,2,5}:{(2660,1),(2672,1),(2701,1),(2912,1)}
2806:{1,2,5,7}:{(2665,1),(2669,1),(2691,1),(2754,1),(2905,1),(2915,1)}
2807:{1,2,5,7}:{(2663,1),(2671,1),(2700,1),(2755,1),(2909,1),(2919,1)}
2808:{1,2,5,6,7}:{(2657,1),(2676,1),(2696,1),(2753,1),(2755,1),(2910,1),(2914,1)}
2809:{1,2,5}:{(2662,1),(2675,1),(2692,1),(2904,1),(2922,1)}
2810:{1,2,5}:{(2661,1),(2666,1),(2699,1),(2908,1)}
2811:{2,3,6,7}:{(2686,1),(2696,1),(2705,1),(2767,1),(2936,1)}
2812:{2,3,6}:{(2682,1),(2695,1),(2709,1),(2931,1)}
2813:{2,3,6,7}:{(2680,1),(2691,1),(2702,1),(2766,1),(2915,1),(2933,1)}
2814:{1,2,3,6}:{(2683,1),(2699,1),(2712,1),(2737,1),(2924,1),(2926,1)}
2815:{2,3,6,7}:{(2684,1),(2697,1),(2706,1),(2766,1),(2932,1)}
2816:{1,2,3,6}:{(2689,1),(2701,1),(2703,1),(2737,1),(2921,1),(2927,1)}
2817:{2,3,6}:{(2679,1),(2694,1),(2704,1),(2935,1)}
2818:{1,2,3,6}:{(2681,1),(2693,1),(2708,1),(2736,1),(2916,1),(2930,1)}
2819:{2,3,6,7}:{(2688,1),(2700,1),(2710,1),(2767,1),(2919,1),(2934,1)}
2820:{2,3,6}:{(2685,1),(2692,1),(2713,1),(2922,1),(2928,1)}
2821:{1,2,3,6}:{(2678,1),(2690,1),(2711,1),(2736,1),(2920,1),(2929,1)}
2822:{2,3,6}:{(2687,1),(2698,1),(2707,1),(2917,1),(2925,1)}
2823:{3,4,7}:{(2704,1),(2717,1),(2757,1),(2935,1)}
2824:{4,7}:{(2713,1),(2722,1),(2928,1),(2941,1)}
2825:{3,4,7}:{(2709,1),(2718,1),(2756,1),(2931,1)}
2826:{1,3,4,7}:{(2712,1),(2720,1),(2739,1),(2757,1),(2926,1),(2948,1)}
2827:{4,7}:{(2707,1),(2723,1),(2925,1),(2942,1)}
2828:{2,4,7}:{(2705,1),(2721,1),(2747,1)}
2829:{2,4,7}:{(2702,1),(2715,1),(2747,1),(2945,1)}
2830:{1,3,4,7}:{(2708,1),(2714,1),(2738,1),(2756,1),(2930,1),(2946,1)}
2831:{1,4,7}:{(2703,1),(2719,1),(2739,1),(2927,1),(2940,1)}
2832:{2,4,7}:{(2706,1),(2716,1),(2746,1)}
2833:{2,4,7}:{(2710,1),(2724,1),(2746,1),(2947,1)}
2834:{1,4,7}:{(2711,1),(2725,1),(2738,1),(2929,1),(2939,1)}
2835:{2,5}:{(2715,1),(2748,1)}
2836:{5}:{(2722,1),(2950,1)}
2837:{3,4,5}:{(2718,1),(2759,1),(2769,1),(2957,1)}
2838:{5}:{(2723,1),(2953,1)}
2839:{1,5}:{(2719,1),(2740,1),(2951,1)}
2840:{1,5}:{(2725,1),(2741,1),(2954,1)}
2841:{3,4,5}:{(2717,1),(2758,1),(2768,1),(2955,1)}
2842:{2,5}:{(2724,1),(2749,1)}
2843:{1,3,5}:{(2714,1),(2741,1),(2759,1),(2949,1)}
2844:{2,4,5}:{(2716,1),(2749,1),(2768,1)}
2845:{1,3,5}:{(2720,1),(2740,1),(2758,1),(2960,1)}
2846:{2,4,5}:{(2721,1),(2748,1),(2769,1)}
2847:{3,4}:{(2727,1),(2728,1),(2888,1),(2890,1)}
2848:{3,4}:{(2726,1),(2729,1),(2884,1),(2896,1)}
2849:{2,3,5}:{(2729,1),(2736,1),(2751,1),(2883,1),(2887,1)}
2850:{2,3,5}:{(2728,1),(2737,1),(2750,1),(2877,1),(2881,1)}
2851:{3,4,6}:{(2730,1),(2736,1),(2738,1),(2880,1),(2887,1),(2929,1)}
2852:{3,4,6}:{(2731,1),(2737,1),(2739,1),(2881,1),(2885,1),(2927,1)}
2853:{3,5,7}:{(2733,1),(2738,1),(2741,1),(2878,1),(2880,1),(2939,1)}
2854:{3,5,7}:{(2732,1),(2739,1),(2740,1),(2879,1),(2885,1),(2940,1)}
2855:{3,6}:{(2735,1),(2740,1),(2886,1),(2951,1)}
2856:{3,6}:{(2734,1),(2741,1),(2882,1),(2954,1)}
2857:{1,4}:{(2726,1),(2761,1),(2889,1)}
2858:{1,4}:{(2727,1),(2760,1),(2893,1)}
2859:{4,6,7}:{(2747,1),(2764,1),(2774,1),(2897,1)}
2860:{4,6,7}:{(2746,1),(2765,1),(2774,1),(2899,1)}
2861:{4,5,7}:{(2743,1),(2746,1),(2749,1),(2898,1),(2947,1)}
2862:{4,5,7}:{(2742,1),(2747,1),(2748,1),(2891,1),(2945,1)}
2863:{4,5,6}:{(2744,1),(2748,1),(2774,1),(2899,1),(2956,1)}
2864:{4,5,6}:{(2745,1),(2749,1),(2774,1),(2897,1),(2958,1)}
2865:{1,4,6}:{(2730,1),(2756,1),(2762,1),(2907,1),(2931,1)}
2866:{1,4,6}:{(2731,1),(2757,1),(2763,1),(2908,1),(2935,1)}
2867:{1,4,5,7}:{(2732,1),(2752,1),(2757,1),(2758,1),(2906,1),(2911,1),(2938,1),(2948,1)}
2868:{1,4,5,7}:{(2733,1),(2753,1),(2756,1),(2759,1),(2903,1),(2910,1),(2943,1),(2946,1)}
2869:{1,4,6}:{(2734,1),(2755,1),(2759,1),(2909,1),(2949,1),(2957,1)}
2870:{1,4,6}:{(2735,1),(2754,1),(2758,1),(2905,1),(2955,1),(2960,1)}
2871:{2,3,5,7}:{(2743,1),(2752,1),(2768,1),(2771,1),(2918,1),(2938,1),(2944,1)}
2872:{2,3,5,7}:{(2742,1),(2753,1),(2769,1),(2770,1),(2913,1),(2937,1),(2943,1)}
2873:{2,3,5,6}:{(2745,1),(2754,1),(2766,1),(2768,1),(2915,1),(2952,1),(2955,1)}
2874:{2,3,5,6}:{(2744,1),(2755,1),(2767,1),(2769,1),(2919,1),(2957,1),(2959,1)}
2875:{2,4,6}:{(2767,1),(2773,1),(2774,1),(2958,1)}
2876:{2,4,6}:{(2766,1),(2772,1),(2774,1),(2956,1)}
2877:{2,3,4}:{(2781,1),(2847,1),(2850,1),(2987,1)}
2878:{3,6,7}:{(2784,1),(2853,1),(2856,1),(2989,1)}
2879:{3,6,7}:{(2786,1),(2854,1),(2855,1),(2972,1)}
2880:{3,5,6}:{(2780,1),(2851,1),(2853,1),(2971,1)}
2881:{3,4,5}:{(2783,1),(2850,1),(2852,1),(2986,1)}
2882:{3,7}:{(2779,1),(2856,1),(2983,1)}
2883:{2,3,4}:{(2778,1),(2848,1),(2849,1),(2962,1)}
2884:{2,3}:{(2782,1),(2848,1),(3012,1)}
2885:{3,5,6}:{(2777,1),(2852,1),(2854,1),(2980,1)}
2886:{3,7}:{(2785,1),(2855,1),(2981,1)}
2887:{3,4,5}:{(2776,1),(2849,1),(2851,1),(2963,1)}
2888:{2,3}:{(2775,1),(2847,1),(2993,1)}
2889:{3,4}:{(2788,1),(2857,1),(3009,1)}
2890:{1,4}:{(2795,1),(2847,1),(2993,1)}
2891:{4,6}:{(2787,1),(2862,1),(2988,1)}
2892:{1,3,4}:{(2791,1),(2847,1),(2858,1),(2969,1)}
2893:{3,4}:{(2792,1),(2858,1),(2968,1)}
2894:{1,3,4}:{(2796,1),(2848,1),(2857,1),(3010,1)}
2895:{4,5,6,7}:{(2794,1),(2859,1),(2862,1),(2863,1),(3015,1)}
2896:{1,4}:{(2793,1),(2848,1),(3012,1)}
2897:{4,5,7}:{(2798,1),(2859,1),(2864,1),(3004,1)}
2898:{4,6}:{(2797,1),(2861,1),(3003,1)}
2899:{4,5,7}:{(2789,1),(2860,1),(2863,1),(2997,1)}
2900:{4,5,6,7}:{(2790,1),(2860,1),(2861,1),(2864,1),(2995,1)}
2901:{1,2,4}:{(2782,1),(2800,1),(2857,1),(2975,1),(3010,1)}
2902:{1,2,4}:{(2778,1),(2803,1),(2857,1),(3009,1)}
2903:{1,4,5,6}:{(2780,1),(2802,1),(2865,1),(2868,1),(2985,1),(2990,1)}
2904:{1,2,4}:{(2775,1),(2809,1),(2858,1),(2961,1),(2969,1)}
2905:{1,4,7}:{(2785,1),(2806,1),(2870,1),(2974,1),(3008,1)}
2906:{1,4,5,6}:{(2777,1),(2801,1),(2866,1),(2867,1),(2973,1),(3007,1)}
2907:{1,4,5}:{(2776,1),(2804,1),(2865,1),(2991,1)}
2908:{1,4,5}:{(2783,1),(2810,1),(2866,1),(2976,1)}
2909:{1,4,7}:{(2779,1),(2807,1),(2869,1),(2966,1),(2977,1)}
2910:{1,4,6,7}:{(2784,1),(2808,1),(2868,1),(2869,1),(2978,1),(2984,1)}
2911:{1,4,6,7}:{(2786,1),(2799,1),(2867,1),(2870,1),(2996,1),(3006,1)}
2912:{1,2,4}:{(2781,1),(2805,1),(2858,1),(2968,1)}
2913:{2,3,5,6}:{(2787,1),(2802,1),(2812,1),(2872,1),(2979,1),(2985,1)}
2914:{2,3,5,6,7}:{(2794,1),(2808,1),(2811,1),(2872,1),(2874,1),(2967,1),(2978,1)}
2915:{2,3,5,7}:{(2798,1),(2806,1),(2813,1),(2873,1),(2999,1),(3008,1)}
2916:{1,2,3,5}:{(2793,1),(2804,1),(2818,1),(2849,1),(2962,1),(2970,1)}
2917:{2,3,5}:{(2788,1),(2800,1),(2822,1),(2975,1),(3011,1)}
2918:{2,3,5,6}:{(2797,1),(2801,1),(2817,1),(2871,1),(2998,1),(3007,1)}
2919:{2,3,5,7}:{(2789,1),(2807,1),(2819,1),(2874,1),(2966,1),(3002,1)}
2920:{1,2,3,5}:{(2796,1),(2803,1),(2821,1),(2849,1),(2963,1),(3016,1)}
2921:{1,2,3,5}:{(2791,1),(2805,1),(2816,1),(2850,1),(2986,1),(2992,1)}
2922:{2,3,5}:{(2792,1),(2809,1),(2820,1),(2961,1),(3001,1)}
2923:{2,3,5,6,7}:{(2790,1),(2799,1),(2815,1),(2871,1),(2873,1),(2994,1),(2996,1)}
2924:{1,2,3,5}:{(2795,1),(2810,1),(2814,1),(2850,1),(2982,1),(2987,1)}
2925:{4,6}:{(2822,1),(2827,1),(3005,1),(3011,1)}
2926:{1,3,4,6}:{(2814,1),(2826,1),(2852,1),(2866,1),(2973,1),(2982,1)}
2927:{1,4,6}:{(2816,1),(2831,1),(2852,1),(2980,1),(2986,1)}
2928:{4,6}:{(2820,1),(2824,1),(2965,1),(3001,1)}
2929:{1,4,6}:{(2821,1),(2834,1),(2851,1),(2963,1),(2971,1)}
2930:{1,3,4,6}:{(2818,1),(2830,1),(2851,1),(2865,1),(2970,1),(2990,1)}
2931:{3,4,6}:{(2812,1),(2825,1),(2865,1),(2991,1)}
2932:{2,4,6,7}:{(2815,1),(2832,1),(2860,1),(2876,1),(2997,1)}
2933:{2,4,6,7}:{(2813,1),(2829,1),(2859,1),(2876,1),(2999,1),(3015,1)}
2934:{2,4,6,7}:{(2819,1),(2833,1),(2860,1),(2875,1),(2995,1),(3002,1)}
2935:{3,4,6}:{(2817,1),(2823,1),(2866,1),(2976,1)}
2936:{2,4,6,7}:{(2811,1),(2828,1),(2859,1),(2875,1),(3004,1)}
2937:{2,4,5,7}:{(2828,1),(2846,1),(2862,1),(2872,1),(2979,1)}
2938:{3,4,5,7}:{(2823,1),(2841,1),(2867,1),(2871,1),(2996,1),(3007,1)}
2939:{1,5,7}:{(2834,1),(2840,1),(2853,1),(2971,1),(2989,1)}
2940:{1,5,7}:{(2831,1),(2839,1),(2854,1),(2972,1),(2980,1)}
2941:{5,7}:{(2824,1),(2836,1),(2964,1),(2965,1)}
2942:{5,7}:{(2827,1),(2838,1),(3000,1),(3005,1)}
2943:{3,4,5,7}:{(2825,1),(2837,1),(2868,1),(2872,1),(2978,1),(2985,1)}
2944:{2,4,5,7}:{(2832,1),(2844,1),(2861,1),(2871,1),(2998,1)}
2945:{2,5,7}:{(2829,1),(2835,1),(2862,1),(2988,1)}
2946:{1,3,5,7}:{(2830,1),(2843,1),(2853,1),(2868,1),(2984,1),(2990,1)}
2947:{2,5,7}:{(2833,1),(2842,1),(2861,1),(3003,1)}
2948:{1,3,5,7}:{(2826,1),(2845,1),(2854,1),(2867,1),(2973,1),(3006,1)}
2949:{1,3,6}:{(2843,1),(2856,1),(2869,1),(2977,1)}
2950:{6}:{(2836,1),(3013,1)}
2951:{1,6}:{(2839,1),(2855,1),(2981,1)}
2952:{2,4,5,6}:{(2844,1),(2864,1),(2873,1),(2876,1),(2999,1)}
2953:{6}:{(2838,1),(3014,1)}
2954:{1,6}:{(2840,1),(2856,1),(2983,1)}
2955:{3,4,6}:{(2841,1),(2870,1),(2873,1),(3008,1)}
2956:{2,5,6}:{(2835,1),(2863,1),(2876,1),(2997,1)}
2957:{3,4,6}:{(2837,1),(2869,1),(2874,1),(2966,1)}
2958:{2,5,6}:{(2842,1),(2864,1),(2875,1),(3004,1)}
2959:{2,4,5,6}:{(2846,1),(2863,1),(2874,1),(2875,1),(3002,1)}
2960:{1,3,6}:{(2845,1),(2855,1),(2870,1),(2974,1)}
2961:{2,3,4}:{(2893,1),(2904,1),(2922,1)}
2962:{1,2,4}:{(2883,1),(2896,1),(2916,1)}
2963:{1,4,5}:{(2887,1),(2920,1),(2929,1)}
2964:{6,7}:{(2941,1),(2950,1)}
2965:{5,6}:{(2928,1),(2941,1)}
2966:{3,4,7}:{(2909,1),(2919,1),(2957,1)}
2967:{2,4,5,6,7}:{(2895,1),(2914,1),(2936,1),(2937,1),(2959,1)}
2968:{2,3}:{(2893,1),(2912,1)}
2969:{1,2,3}:{(2888,1),(2892,1),(2904,1)}
2970:{1,3,4,5}:{(2887,1),(2907,1),(2916,1),(2930,1)}
2971:{1,5,6}:{(2880,1),(2929,1),(2939,1)}
2972:{1,6,7}:{(2879,1),(2940,1),(2951,1)}
2973:{1,3,5,6}:{(2885,1),(2906,1),(2926,1),(2948,1)}
2974:{1,3,7}:{(2886,1),(2905,1),(2960,1)}
2975:{2,3,4}:{(2889,1),(2901,1),(2917,1)}
2976:{3,5}:{(2908,1),(2935,1)}
2977:{1,3,7}:{(2882,1),(2909,1),(2949,1)}
2978:{3,4,6,7}:{(2910,1),(2914,1),(2943,1),(2957,1)}
2979:{2,4,6}:{(2891,1),(2913,1),(2937,1)}
2980:{1,5,6}:{(2885,1),(2927,1),(2940,1)}
2981:{1,7}:{(2886,1),(2951,1)}
2982:{1,3,4,5}:{(2881,1),(2908,1),(2924,1),(2926,1)}
2983:{1,7}:{(2882,1),(2954,1)}
2984:{1,3,6,7}:{(2878,1),(2910,1),(2946,1),(2949,1)}
2985:{3,4,5,6}:{(2903,1),(2913,1),(2931,1),(2943,1)}
2986:{1,4,5}:{(2881,1),(2921,1),(2927,1)}
2987:{1,2,4}:{(2877,1),(2890,1),(2924,1)}
2988:{2,6}:{(2891,1),(2945,1)}
2989:{1,6,7}:{(2878,1),(2939,1),(2954,1)}
2990:{1,3,5,6}:{(2880,1),(2903,1),(2930,1),(2946,1)}
2991:{3,5}:{(2907,1),(2931,1)}
2992:{1,2,3,4}:{(2877,1),(2892,1),(2912,1),(2921,1)}
2993:{1,2}:{(2888,1),(2890,1)}
2994:{2,4,5,6,7}:{(2900,1),(2923,1),(2932,1),(2944,1),(2952,1)}
2995:{2,5,6,7}:{(2900,1),(2934,1),(2947,1),(2958,1)}
2996:{3,4,6,7}:{(2911,1),(2923,1),(2938,1),(2955,1)}
2997:{2,5,7}:{(2899,1),(2932,1),(2956,1)}
2998:{2,4,6}:{(2898,1),(2918,1),(2944,1)}
2999:{2,4,5,7}:{(2897,1),(2915,1),(2933,1),(2952,1)}
3000:{6,7}:{(2942,1),(2953,1)}
3001:{4,5}:{(2922,1),(2928,1)}
3002:{2,4,5,7}:{(2899,1),(2919,1),(2934,1),(2959,1)}
3003:{2,6}:{(2898,1),(2947,1)}
3004:{2,5,7}:{(2897,1),(2936,1),(2958,1)}
3005:{5,6}:{(2925,1),(2942,1)}
3006:{1,3,6,7}:{(2879,1),(2911,1),(2948,1),(2960,1)}
3007:{3,4,5,6}:{(2906,1),(2918,1),(2935,1),(2938,1)}
3008:{3,4,7}:{(2905,1),(2915,1),(2955,1)}
3009:{2,3}:{(2889,1),(2902,1)}
3010:{1,2,3}:{(2884,1),(2894,1),(2901,1)}
3011:{4,5}:{(2917,1),(2925,1)}
3012:{1,2}:{(2884,1),(2896,1)}
3013:{7}:{(2950,1)}
3014:{7}:{(2953,1)}
3015:{2,5,6,7}:{(2895,1),(2933,1),(2945,1),(2956,1)}
3016:{1,2,3,4}:{(2883,1),(2894,1),(2902,1),(2920,1)}