0:{2,3,6}:{(38,1),(39,1),(61,1),(109,1)}
1:{2,3,4,5}:{(31,1),(62,1),(307,1)}
2:{3,5,6}:{(42,1),(60,1),(109,1),(125,1)}
3:{1,3,4}:{(33,1),(56,1),(104,1)}
4:{1,3,4,6}:{(34,1),(53,1),(104,1),(122,1),(203,1)}
5:{5,6}:{(39,1)}
6:{3,4,5,6}:{(54,1),(57,1),(207,1),(231,1)}
7:{1,3,6}:{(33,1),(44,1)}
8:{4,5,6}:{(45,1),(51,1),(106,1)}
9:{1,4,5,6}:{(46,1),(52,1),(106,1),(147,1),(216,1)}
10:{1,2,5,6}:{(44,1),(47,1),(135,1)}
11:{1,5,6}:{(40,1),(45,1)}
12:{2,4,5,6}:{(47,1),(229,1)}
13:{1,2,3,6}:{(36,1),(40,1),(139,1)}
14:{2,3,4,5,6}:{(59,1),(338,1)}
15:{1,2,3,4,5}:{(32,1),(331,1)}
16:{1,2,3,4}:{(36,1),(227,1)}
17:{2,4,5}:{(30,1),(48,1),(201,1)}
18:{2,6}:{(37,1),(42,1)}
19:{2,3,4}:{(38,1),(58,1),(206,1)}
20:{1,3,4,5}:{(29,1),(55,1),(200,1),(232,1)}
21:{1,3}:{(41,1)}
22:{1,2,5}:{(28,1),(41,1),(48,1),(103,1)}
23:{1,2,4,6}:{(35,1),(49,1),(105,1),(120,1),(145,1),(210,1),(223,1),(326,1)}
24:{1,3,5}:{(27,1),(43,1),(103,1),(124,1)}
25:{1,2}:{(43,1),(50,1)}
26:{2,4}:{(37,1),(50,1),(105,1)}
27:{1,3,6}:{(21,1),(24,1),(63,1),(173,1)}
28:{1,2,6}:{(22,1),(25,1),(63,1),(64,1)}
29:{1,3,4,6}:{(3,1),(20,1),(66,1),(73,1),(150,1),(285,1)}
30:{2,4,6}:{(17,1),(26,1),(64,1),(75,1),(151,1)}
31:{2,3,4,6}:{(1,1),(19,1),(69,1),(77,1),(258,1)}
32:{1,2,3,4,6}:{(15,1),(16,1),(76,1),(283,1)}
33:{1,3,5}:{(3,1),(7,1),(80,1)}
34:{1,3,5}:{(4,1),(21,1),(84,1),(254,1)}
35:{1,2,5}:{(23,1),(25,1),(65,1),(82,1),(190,1),(260,1)}
36:{1,2,3,5}:{(13,1),(16,1),(79,1),(184,1)}
37:{2,5}:{(18,1),(26,1),(81,1)}
38:{2,3,5}:{(0,1),(19,1),(70,1),(83,1),(155,1)}
39:{4,6}:{(0,1),(5,1),(83,1)}
40:{1,4,6}:{(11,1),(13,1),(79,1),(87,1)}
41:{1,4}:{(21,1),(22,1),(89,1)}
42:{4,6}:{(2,1),(18,1),(81,1)}
43:{1,4}:{(24,1),(25,1),(90,1)}
44:{1,4,6}:{(7,1),(10,1),(80,1),(85,1)}
45:{3,5,6}:{(8,1),(11,1),(87,1)}
46:{3,5,6}:{(5,1),(9,1),(88,1),(257,1)}
47:{2,3,5,6}:{(10,1),(12,1),(85,1),(181,1)}
48:{2,3,5}:{(17,1),(22,1),(64,1),(89,1),(152,1)}
49:{2,3,6}:{(18,1),(23,1),(65,1),(86,1),(173,1),(267,1)}
50:{2,3}:{(25,1),(26,1),(90,1)}
51:{2,5,6}:{(5,1),(8,1),(91,1)}
52:{1,2,5,6}:{(9,1),(11,1),(68,1),(96,1),(196,1),(277,1)}
53:{1,2,3,6}:{(4,1),(7,1),(67,1),(92,1),(176,1),(264,1)}
54:{2,3,5,6}:{(2,1),(6,1),(72,1),(93,1),(161,1),(183,1)}
55:{1,2,3,5}:{(20,1),(24,1),(66,1),(95,1),(156,1),(182,1)}
56:{1,2,3}:{(3,1),(21,1),(94,1)}
57:{1,4,5,6}:{(6,1),(8,1),(72,1),(100,1),(164,1),(291,1)}
58:{1,2,4}:{(19,1),(26,1),(70,1),(98,1),(163,1)}
59:{1,2,4,5,6}:{(12,1),(14,1),(97,1),(288,1)}
60:{1,5,6}:{(2,1),(5,1),(71,1),(190,1)}
61:{1,2,6}:{(0,1),(18,1),(70,1),(71,1)}
62:{1,2,4,5}:{(1,1),(17,1),(69,1),(101,1),(269,1)}
63:{1,4,6}:{(27,1),(28,1),(41,1),(43,1),(103,1),(108,1)}
64:{2,3,6}:{(28,1),(30,1),(48,1),(50,1),(108,1)}
65:{2,3,5}:{(35,1),(37,1),(49,1),(50,1),(105,1),(124,1),(125,1)}
66:{1,2,3,6}:{(27,1),(29,1),(55,1),(56,1),(111,1),(233,1)}
67:{1,2,3,5}:{(33,1),(34,1),(53,1),(56,1),(104,1),(131,1),(135,1),(213,1)}
68:{2,3,5,6}:{(45,1),(46,1),(51,1),(52,1),(106,1),(139,1),(140,1),(212,1)}
69:{1,2,4,6}:{(30,1),(31,1),(58,1),(62,1),(112,1),(114,1),(217,1)}
70:{1,2,5}:{(37,1),(38,1),(58,1),(61,1),(113,1)}
71:{1,4,6}:{(39,1),(42,1),(60,1),(61,1),(109,1),(113,1)}
72:{1,2,5,6}:{(51,1),(54,1),(57,1),(60,1),(116,1),(246,1)}
73:{1,3,5,6}:{(29,1),(33,1),(118,1),(334,1)}
74:{1,3,5,6}:{(27,1),(34,1),(103,1),(122,1),(202,1)}
75:{2,5,6}:{(30,1),(37,1),(121,1)}
76:{1,2,3,5,6}:{(32,1),(36,1),(123,1),(235,1)}
77:{2,3,5,6}:{(31,1),(38,1),(112,1),(119,1),(205,1)}
78:{1,2,5,6}:{(28,1),(35,1),(103,1),(107,1),(120,1),(242,1),(326,1)}
79:{1,4,5}:{(36,1),(40,1),(127,1)}
80:{1,4,5}:{(33,1),(44,1),(104,1),(128,1),(135,1)}
81:{4,5}:{(37,1),(42,1),(105,1),(125,1)}
82:{1,4,5}:{(35,1),(43,1),(103,1),(105,1),(120,1),(124,1),(201,1)}
83:{4,5}:{(38,1),(39,1)}
84:{1,4,5}:{(34,1),(41,1),(103,1),(104,1),(122,1),(126,1),(131,1)}
85:{3,4,6}:{(44,1),(47,1),(128,1)}
86:{3,4,6}:{(42,1),(49,1),(105,1),(109,1),(125,1),(145,1),(206,1)}
87:{3,4,6}:{(40,1),(45,1),(106,1),(127,1),(139,1)}
88:{3,4,6}:{(39,1),(46,1),(106,1),(109,1),(129,1),(140,1),(147,1)}
89:{3,4}:{(41,1),(48,1)}
90:{3,4}:{(43,1),(50,1),(105,1),(124,1)}
91:{2,4,6}:{(39,1),(51,1),(106,1),(133,1),(140,1)}
92:{1,2,4,6}:{(44,1),(53,1),(104,1),(135,1),(136,1)}
93:{2,4,6}:{(42,1),(54,1),(132,1)}
94:{1,2,4}:{(41,1),(56,1),(104,1),(131,1),(137,1)}
95:{1,2,4}:{(43,1),(55,1),(141,1)}
96:{1,2,4,6}:{(40,1),(52,1),(106,1),(130,1),(139,1)}
97:{1,2,3,5,6}:{(47,1),(59,1),(142,1),(248,1)}
98:{1,2,3}:{(50,1),(58,1),(144,1)}
99:{1,2,3,6}:{(49,1),(61,1),(109,1),(115,1),(145,1),(241,1),(326,1)}
100:{1,3,5,6}:{(45,1),(57,1),(143,1),(341,1)}
101:{1,2,3,5}:{(48,1),(62,1),(114,1),(146,1),(218,1)}
102:{1,3,5,6}:{(46,1),(60,1),(109,1),(147,1),(221,1)}
103:{1,5}:{(63,1),(152,1)}
104:{1,4}:{(67,1),(153,1)}
105:{4}:{(65,1)}
106:{4,6}:{(68,1),(148,1)}
107:{2,3,5,6}:{(64,1),(65,1),(75,1),(78,1),(151,1),(152,1),(169,1),(173,1),(260,1),(265,1)}
108:{3,4,6}:{(63,1),(64,1),(89,1),(90,1),(151,1),(152,1),(173,1)}
109:{3,6}:{(71,1),(155,1)}
110:{1,2,3,5,6}:{(66,1),(67,1),(73,1),(74,1),(150,1),(156,1),(176,1),(179,1),(254,1),(263,1),(264,1)}
111:{1,2,4,6}:{(63,1),(66,1),(94,1),(95,1),(150,1),(156,1),(159,1),(176,1)}
112:{1,2,5,6}:{(69,1),(70,1),(75,1),(77,1),(162,1)}
113:{1,4,5}:{(70,1),(71,1),(81,1),(83,1),(155,1),(163,1),(190,1)}
114:{1,2,3,6}:{(64,1),(69,1),(98,1),(101,1),(165,1)}
115:{1,2,3,5}:{(65,1),(70,1),(98,1),(99,1),(155,1),(163,1),(190,1),(192,1),(267,1),(279,1)}
116:{1,2,4,6}:{(71,1),(72,1),(91,1),(93,1),(161,1),(164,1),(168,1),(196,1)}
117:{1,2,3,5,6}:{(68,1),(72,1),(100,1),(102,1),(161,1),(164,1),(195,1),(196,1),(257,1),(277,1),(280,1)}
118:{1,4,5,6}:{(73,1),(80,1),(150,1),(170,1),(179,1),(350,1)}
119:{4,5,6}:{(77,1),(83,1)}
120:{1,4,6}:{(78,1),(82,1),(151,1),(173,1)}
121:{4,5,6}:{(75,1),(81,1),(151,1),(169,1)}
122:{1,4,6}:{(74,1),(84,1),(172,1),(176,1)}
123:{1,4,5,6}:{(76,1),(79,1),(174,1)}
124:{3,5}:{(82,1),(90,1),(173,1)}
125:{3,5}:{(81,1),(86,1),(190,1)}
126:{3,4,5}:{(84,1),(89,1),(152,1),(153,1),(172,1),(185,1),(251,1),(254,1)}
127:{3,4,5}:{(79,1),(87,1),(148,1),(184,1)}
128:{3,4,5}:{(80,1),(85,1),(153,1),(181,1)}
129:{3,4,5}:{(83,1),(88,1),(148,1),(155,1),(186,1),(187,1),(253,1),(257,1)}
130:{1,2,4,5}:{(79,1),(96,1),(148,1),(184,1),(277,1),(290,1)}
131:{1,2,5}:{(84,1),(94,1),(176,1),(185,1)}
132:{2,4,5}:{(81,1),(93,1),(158,1),(183,1)}
133:{2,4,5}:{(83,1),(91,1),(148,1),(186,1)}
134:{1,2,4,5}:{(82,1),(95,1),(156,1),(158,1),(177,1),(182,1),(251,1),(260,1),(279,1),(289,1)}
135:{1,2,5}:{(80,1),(92,1),(181,1)}
136:{2,3,4,6}:{(85,1),(92,1),(153,1),(181,1),(264,1),(282,1)}
137:{2,3,4}:{(89,1),(94,1),(153,1),(185,1)}
138:{2,3,4,6}:{(86,1),(93,1),(158,1),(161,1),(183,1),(193,1),(253,1),(265,1),(267,1),(286,1)}
139:{2,3,6}:{(87,1),(96,1),(184,1)}
140:{2,3,6}:{(88,1),(91,1),(186,1),(196,1)}
141:{2,3,4}:{(90,1),(95,1),(158,1),(182,1)}
142:{1,3,4,6}:{(85,1),(97,1),(188,1)}
143:{1,3,4,6}:{(87,1),(100,1),(164,1),(189,1),(195,1),(356,1)}
144:{1,3,4}:{(90,1),(98,1),(163,1),(192,1)}
145:{1,4,6}:{(86,1),(99,1),(163,1),(190,1)}
146:{1,3,4}:{(89,1),(101,1)}
147:{1,4,6}:{(88,1),(102,1),(187,1),(196,1)}
148:{4,5}:{(106,1),(212,1)}
149:{1,4,5,6}:{(103,1),(120,1),(122,1),(200,1),(201,1),(202,1),(208,1),(302,1)}
150:{1,4,6}:{(104,1),(110,1),(200,1),(203,1),(302,1)}
151:{4,6}:{(105,1),(107,1),(201,1)}
152:{3,5}:{(103,1),(108,1),(201,1)}
153:{3,4}:{(104,1),(213,1)}
154:{3,4,5}:{(105,1),(124,1),(125,1),(201,1),(204,1),(206,1),(214,1),(220,1)}
155:{3,5}:{(109,1),(113,1),(206,1)}
156:{1,2,5}:{(103,1),(111,1),(200,1),(211,1)}
157:{1,2,4,5}:{(104,1),(131,1),(135,1),(200,1),(209,1),(213,1),(228,1),(229,1)}
158:{2,4}:{(105,1),(214,1)}
159:{2,3,4,6}:{(108,1),(111,1),(137,1),(141,1),(203,1),(210,1),(211,1),(233,1),(237,1),(302,1)}
160:{2,3,4,6}:{(106,1),(139,1),(140,1),(207,1),(212,1),(225,1),(227,1),(230,1)}
161:{2,3,6}:{(109,1),(116,1),(207,1),(215,1)}
162:{1,4,5,6}:{(112,1),(113,1),(119,1),(121,1),(205,1),(217,1),(242,1)}
163:{1,4}:{(105,1),(115,1),(206,1)}
164:{1,4,6}:{(106,1),(117,1),(207,1),(216,1),(316,1)}
165:{1,3,4,6}:{(108,1),(114,1),(144,1),(146,1),(217,1),(218,1),(241,1)}
166:{1,2,3,5,6}:{(107,1),(112,1),(114,1),(115,1),(205,1),(217,1),(218,1),(241,1),(242,1),(313,1),(321,1),(326,1)}
167:{1,3,4,6}:{(109,1),(145,1),(147,1),(206,1),(207,1),(221,1),(226,1),(316,1)}
168:{1,2,4,5}:{(113,1),(116,1),(132,1),(133,1),(215,1),(216,1),(223,1),(246,1),(250,1),(316,1)}
169:{3,5,6}:{(121,1),(125,1),(204,1),(242,1)}
170:{3,4,5,6}:{(118,1),(128,1),(203,1),(234,1)}
171:{3,4,5,6}:{(119,1),(129,1),(199,1),(205,1),(236,1),(244,1),(303,1),(306,1)}
172:{3,4,6}:{(122,1),(126,1),(202,1),(237,1),(302,1)}
173:{3,6}:{(120,1),(124,1)}
174:{3,4,5,6}:{(123,1),(127,1),(199,1),(235,1)}
175:{2,4,5,6}:{(119,1),(133,1),(199,1),(236,1)}
176:{1,2,6}:{(122,1),(131,1),(237,1)}
177:{1,2,4,6}:{(120,1),(134,1),(208,1),(210,1),(233,1),(302,1),(326,1),(347,1)}
178:{1,2,4,5,6}:{(123,1),(130,1),(199,1),(235,1),(323,1),(345,1)}
179:{1,2,5,6}:{(118,1),(135,1),(209,1),(234,1),(335,1)}
180:{2,4,5,6}:{(121,1),(132,1),(210,1),(238,1)}
181:{2,3,5}:{(128,1),(135,1),(136,1),(229,1)}
182:{2,3,5}:{(124,1),(134,1),(141,1),(232,1),(233,1)}
183:{2,3,5}:{(125,1),(132,1),(138,1),(231,1),(246,1)}
184:{2,3,5}:{(127,1),(130,1),(139,1),(227,1)}
185:{2,3,5}:{(126,1),(131,1),(137,1),(228,1),(237,1)}
186:{2,3,5}:{(129,1),(133,1),(140,1),(230,1),(250,1)}
187:{1,4,5}:{(129,1),(147,1),(221,1),(250,1),(316,1)}
188:{1,3,4,5}:{(128,1),(142,1),(219,1),(248,1)}
189:{1,3,4,5}:{(127,1),(143,1),(216,1),(249,1)}
190:{1,5}:{(125,1),(145,1)}
191:{1,3,4,5}:{(126,1),(146,1),(218,1),(219,1),(240,1),(247,1),(314,1),(317,1)}
192:{1,3,5}:{(124,1),(144,1),(220,1),(241,1)}
193:{1,2,4,6}:{(138,1),(145,1),(223,1),(226,1),(246,1),(316,1),(326,1),(346,1)}
194:{1,2,3,4}:{(137,1),(146,1),(219,1),(247,1)}
195:{1,2,3,6}:{(139,1),(143,1),(225,1),(249,1),(337,1)}
196:{1,2,6}:{(140,1),(147,1),(250,1)}
197:{1,2,3,4,6}:{(136,1),(142,1),(219,1),(248,1),(325,1),(342,1)}
198:{1,2,3,4}:{(141,1),(144,1),(223,1),(245,1)}
199:{4,5,6}:{(148,1),(262,1)}
200:{1,4,5}:{(150,1),(156,1),(251,1),(254,1)}
201:{4,5}:{(151,1),(152,1),(260,1)}
202:{3,5,6}:{(149,1),(152,1),(172,1),(173,1),(254,1)}
203:{3,4,6}:{(150,1),(153,1),(254,1),(264,1)}
204:{3,4,6}:{(151,1),(154,1),(169,1),(173,1),(265,1),(272,1)}
205:{3,5,6}:{(155,1),(162,1),(258,1)}
206:{3,4}:{(155,1),(163,1),(267,1)}
207:{3,4,6}:{(161,1),(164,1),(253,1),(257,1)}
208:{1,2,5,6}:{(149,1),(156,1),(176,1),(177,1),(260,1),(263,1),(390,1)}
209:{1,2,4,6}:{(150,1),(157,1),(176,1),(179,1),(264,1),(282,1),(287,1)}
210:{2,4,6}:{(151,1),(158,1),(260,1),(265,1)}
211:{2,3,5}:{(152,1),(156,1),(159,1),(251,1),(254,1),(260,1)}
212:{2,3,5}:{(148,1),(160,1),(257,1),(277,1)}
213:{2,3,5}:{(153,1),(157,1),(254,1),(264,1)}
214:{2,3,5}:{(154,1),(158,1),(260,1),(265,1),(267,1),(279,1)}
215:{2,3,5}:{(155,1),(161,1),(168,1),(253,1),(257,1),(267,1)}
216:{1,4,5}:{(148,1),(164,1),(257,1),(277,1)}
217:{1,4,6}:{(151,1),(163,1),(166,1),(258,1),(269,1)}
218:{1,3,5}:{(152,1),(165,1),(269,1)}
219:{1,3,4}:{(153,1),(278,1)}
220:{1,4,5}:{(154,1),(163,1),(190,1),(192,1),(272,1),(279,1)}
221:{1,3,5}:{(155,1),(167,1),(187,1),(190,1),(257,1)}
222:{1,2,4,5,6}:{(162,1),(168,1),(175,1),(180,1),(266,1),(268,1),(275,1),(295,1),(299,1),(367,1),(425,1),(442,1),(444,1)}
223:{1,2,4}:{(158,1),(163,1),(267,1),(279,1)}
224:{1,2,3,4,6}:{(159,1),(165,1),(194,1),(198,1),(271,1),(275,1),(276,1),(296,1),(298,1),(366,1),(426,1),(434,1),(445,1)}
225:{1,2,4,6}:{(160,1),(164,1),(195,1),(196,1),(277,1),(290,1),(292,1)}
226:{1,2,3,6}:{(161,1),(167,1),(193,1),(196,1),(267,1),(280,1),(379,1)}
227:{2,3,4}:{(184,1),(290,1)}
228:{2,4,5}:{(185,1),(251,1),(287,1)}
229:{2,4,5}:{(181,1),(282,1)}
230:{2,3,4}:{(186,1),(253,1),(292,1)}
231:{3,4,5}:{(183,1),(253,1),(286,1),(291,1)}
232:{3,4,5}:{(182,1),(251,1),(285,1),(289,1)}
233:{2,3,6}:{(173,1),(177,1),(182,1),(285,1)}
234:{2,3,5,6}:{(170,1),(179,1),(181,1),(264,1),(282,1)}
235:{2,3,5,6}:{(174,1),(178,1),(184,1),(283,1)}
236:{2,3,5,6}:{(171,1),(175,1),(186,1),(284,1),(295,1)}
237:{2,3,6}:{(172,1),(176,1),(185,1),(287,1)}
238:{2,3,5,6}:{(169,1),(180,1),(183,1),(265,1),(286,1),(299,1)}
239:{1,3,4,5,6}:{(170,1),(188,1),(271,1),(297,1),(439,1),(452,1)}
240:{1,3,4,6}:{(172,1),(191,1),(270,1),(298,1),(366,1)}
241:{1,3,6}:{(173,1),(192,1),(272,1)}
242:{1,5,6}:{(169,1),(190,1),(272,1)}
243:{1,3,4,5,6}:{(174,1),(189,1),(268,1),(294,1),(430,1),(449,1)}
244:{1,4,5,6}:{(171,1),(187,1),(273,1),(295,1),(367,1)}
245:{1,2,3,5}:{(182,1),(192,1),(198,1),(279,1),(289,1),(296,1)}
246:{1,2,5}:{(183,1),(190,1),(193,1),(291,1)}
247:{1,2,3,5}:{(185,1),(191,1),(194,1),(293,1),(298,1)}
248:{1,2,3,5}:{(181,1),(188,1),(197,1),(288,1)}
249:{1,2,3,5}:{(184,1),(189,1),(195,1),(277,1),(290,1)}
250:{1,2,5}:{(186,1),(187,1),(196,1),(292,1)}
251:{4,5}:{(211,1),(302,1)}
252:{2,3,4,5}:{(212,1),(227,1),(230,1),(300,1),(301,1),(315,1)}
253:{3,4}:{(215,1),(316,1)}
254:{3,5}:{(200,1),(203,1)}
255:{3,4,5,6}:{(201,1),(202,1),(204,1),(302,1),(304,1),(307,1),(312,1),(318,1),(334,1),(395,1)}
256:{2,3,4,5}:{(213,1),(228,1),(229,1),(304,1),(305,1),(319,1)}
257:{3,5}:{(207,1),(216,1)}
258:{3,4,6}:{(205,1),(206,1),(217,1),(307,1),(313,1)}
259:{1,2,4,5,6}:{(200,1),(208,1),(209,1),(302,1),(308,1),(311,1),(333,1),(335,1),(407,1),(409,1),(410,1),(415,1),(417,1)}
260:{2,5}:{(201,1),(210,1)}
261:{2,3,4,5}:{(214,1),(231,1),(232,1),(308,1),(309,1),(310,1),(322,1),(392,1),(398,1),(402,1),(494,1)}
262:{2,3,5,6}:{(199,1),(212,1),(301,1),(306,1),(323,1)}
263:{2,3,5,6}:{(202,1),(208,1),(211,1),(233,1),(237,1),(302,1),(334,1),(335,1)}
264:{2,3,6}:{(203,1),(209,1),(213,1)}
265:{2,3,6}:{(204,1),(210,1),(214,1),(326,1)}
266:{2,3,5,6}:{(205,1),(215,1),(222,1),(303,1),(306,1),(313,1),(398,1),(400,1)}
267:{2,3}:{(206,1),(223,1)}
268:{1,4,5,6}:{(199,1),(216,1),(306,1),(323,1),(408,1)}
269:{1,4,5}:{(201,1),(217,1),(218,1),(307,1),(321,1)}
270:{1,3,5,6}:{(202,1),(218,1),(240,1),(241,1),(317,1),(318,1)}
271:{1,3,4,6}:{(203,1),(219,1),(317,1),(325,1),(410,1)}
272:{1,4,6}:{(204,1),(220,1),(241,1),(242,1),(326,1)}
273:{1,3,5,6}:{(205,1),(221,1),(242,1),(244,1),(306,1),(320,1)}
274:{1,3,4,5}:{(206,1),(220,1),(221,1),(300,1),(307,1),(316,1),(320,1),(329,1),(341,1),(406,1)}
275:{1,2,4,6}:{(210,1),(217,1),(223,1),(313,1),(321,1),(326,1),(392,1)}
276:{1,2,3,5}:{(211,1),(218,1),(224,1),(314,1),(317,1),(321,1),(402,1),(417,1)}
277:{1,2,5}:{(212,1),(216,1),(225,1)}
278:{1,2,3,5}:{(213,1),(219,1),(317,1),(319,1),(325,1)}
279:{1,2,5}:{(214,1),(220,1),(223,1),(326,1)}
280:{1,2,3,5}:{(215,1),(221,1),(226,1),(246,1),(250,1),(316,1),(337,1),(341,1)}
281:{1,2,3,4,6}:{(207,1),(225,1),(226,1),(310,1),(316,1),(327,1),(336,1),(337,1),(394,1),(396,1),(400,1),(408,1),(416,1)}
282:{2,4,6}:{(229,1),(234,1)}
283:{2,3,4,6}:{(227,1),(235,1),(331,1),(345,1)}
284:{2,3,4,6}:{(230,1),(236,1),(303,1),(330,1),(344,1)}
285:{3,4,6}:{(232,1),(233,1),(302,1),(334,1),(347,1)}
286:{3,4,6}:{(231,1),(238,1),(346,1)}
287:{2,4,6}:{(228,1),(237,1),(302,1),(335,1)}
288:{1,2,4,5}:{(229,1),(248,1),(338,1),(342,1)}
289:{1,4,5}:{(232,1),(245,1),(347,1)}
290:{1,2,4}:{(227,1),(249,1)}
291:{1,4,5}:{(231,1),(246,1),(316,1),(341,1),(346,1)}
292:{1,2,4}:{(230,1),(250,1),(316,1),(337,1)}
293:{1,2,4,5}:{(228,1),(247,1),(314,1),(340,1),(343,1)}
294:{1,2,3,5,6}:{(235,1),(243,1),(249,1),(323,1),(345,1),(394,1),(422,1)}
295:{1,2,5,6}:{(236,1),(244,1),(250,1),(344,1)}
296:{1,2,3,6}:{(233,1),(241,1),(245,1),(326,1),(347,1)}
297:{1,2,3,5,6}:{(234,1),(239,1),(248,1),(325,1),(342,1),(409,1),(419,1)}
298:{1,2,3,6}:{(237,1),(240,1),(247,1),(343,1)}
299:{1,2,5,6}:{(238,1),(242,1),(246,1),(326,1),(346,1)}
300:{3,4,5}:{(253,1),(257,1),(351,1),(358,1),(364,1)}
301:{2,3,4,6}:{(252,1),(262,1),(351,1),(365,1)}
302:{4,6}:{(251,1),(263,1)}
303:{3,4,6}:{(253,1),(266,1),(349,1),(367,1)}
304:{3,4,5}:{(251,1),(254,1),(353,1),(361,1),(368,1)}
305:{2,3,4,6}:{(256,1),(264,1),(282,1),(287,1),(352,1),(353,1),(369,1)}
306:{3,5,6}:{(257,1),(268,1),(351,1)}
307:{3,4,5}:{(258,1),(269,1),(362,1)}
308:{2,4,5}:{(251,1),(260,1),(359,1),(361,1)}
309:{2,3,4,6}:{(261,1),(265,1),(285,1),(286,1),(357,1),(359,1),(373,1),(434,1),(480,1)}
310:{2,3,4}:{(253,1),(267,1),(358,1),(374,1)}
311:{2,3,5,6}:{(254,1),(259,1),(264,1),(353,1),(361,1),(429,1),(434,1)}
312:{2,3,5,6}:{(255,1),(260,1),(265,1),(359,1),(361,1),(362,1),(376,1),(434,1)}
313:{2,3,6}:{(258,1),(267,1),(275,1),(362,1)}
314:{1,4,5}:{(251,1),(276,1),(354,1),(366,1)}
315:{1,2,4,5}:{(252,1),(277,1),(290,1),(292,1),(355,1),(364,1),(365,1)}
316:{1,4}:{(253,1),(280,1)}
317:{1,3,5}:{(254,1),(271,1),(368,1)}
318:{1,4,5,6}:{(255,1),(269,1),(270,1),(272,1),(366,1),(368,1),(376,1),(390,1)}
319:{1,2,4,5}:{(256,1),(278,1),(368,1),(369,1)}
320:{1,3,4,6}:{(258,1),(272,1),(273,1),(274,1),(351,1),(367,1),(378,1),(379,1)}
321:{1,2,5}:{(260,1),(269,1),(275,1),(362,1)}
322:{1,2,4,5}:{(261,1),(279,1),(289,1),(291,1),(363,1),(373,1),(374,1),(442,1),(478,1)}
323:{1,2,5,6}:{(262,1),(268,1),(277,1),(365,1)}
324:{1,2,3,5,6}:{(263,1),(270,1),(276,1),(296,1),(298,1),(366,1),(376,1),(389,1),(390,1),(429,1),(434,1)}
325:{1,2,3,6}:{(264,1),(271,1),(278,1),(369,1)}
326:{1,2,6}:{(265,1),(272,1),(279,1)}
327:{1,2,3,5}:{(257,1),(277,1),(281,1),(358,1),(364,1),(428,1),(442,1)}
328:{1,2,3,5,6}:{(266,1),(273,1),(280,1),(295,1),(299,1),(367,1),(378,1),(379,1),(380,1),(428,1),(442,1)}
329:{1,2,3,5}:{(267,1),(274,1),(279,1),(358,1),(362,1),(374,1),(378,1),(442,1)}
330:{2,3,4,5}:{(284,1),(349,1),(388,1)}
331:{2,3,4,5}:{(283,1),(386,1)}
332:{3,4,5,6}:{(286,1),(349,1),(357,1),(387,1),(480,1)}
333:{2,4,5,6}:{(282,1),(352,1),(448,1)}
334:{3,5,6}:{(285,1),(350,1),(390,1)}
335:{2,5,6}:{(287,1),(350,1)}
336:{1,2,3,4}:{(290,1),(355,1),(451,1)}
337:{1,2,3}:{(292,1),(356,1)}
338:{2,3,4,5}:{(288,1),(381,1)}
339:{1,3,4,5}:{(289,1),(354,1),(363,1),(383,1),(478,1)}
340:{2,3,4,5}:{(293,1),(354,1),(384,1)}
341:{1,3,5}:{(291,1),(356,1),(379,1)}
342:{1,2,4,6}:{(282,1),(288,1),(297,1),(381,1)}
343:{1,2,4,6}:{(287,1),(293,1),(298,1),(366,1),(384,1),(389,1)}
344:{1,2,4,6}:{(284,1),(292,1),(295,1),(367,1),(380,1),(388,1)}
345:{1,2,4,6}:{(283,1),(290,1),(294,1),(386,1)}
346:{1,4,6}:{(286,1),(291,1),(299,1),(379,1)}
347:{1,4,6}:{(285,1),(289,1),(296,1),(390,1)}
348:{2,3,4,5,6}:{(301,1),(330,1),(331,1),(391,1),(405,1)}
349:{3,4,5}:{(303,1),(398,1),(406,1)}
350:{4,5,6}:{(302,1),(334,1),(335,1)}
351:{3,4,6}:{(300,1),(306,1),(400,1),(408,1)}
352:{2,3,5,6}:{(305,1),(333,1),(335,1),(393,1),(409,1)}
353:{3,4,6}:{(302,1),(304,1),(311,1),(410,1)}
354:{3,4,5}:{(314,1),(395,1),(402,1)}
355:{1,2,3,5}:{(315,1),(336,1),(337,1),(394,1),(397,1)}
356:{1,3,4}:{(316,1),(337,1),(341,1)}
357:{2,3,5,6}:{(309,1),(332,1),(334,1),(398,1),(399,1),(413,1)}
358:{2,3,5}:{(300,1),(310,1),(400,1),(414,1)}
359:{2,4,6}:{(302,1),(308,1),(312,1),(392,1)}
360:{2,3,4,6}:{(303,1),(310,1),(313,1),(392,1),(398,1),(400,1),(416,1),(453,1)}
361:{2,3,5}:{(304,1),(308,1),(401,1),(417,1)}
362:{2,3,5}:{(307,1),(313,1),(321,1),(392,1)}
363:{1,2,3,5}:{(322,1),(339,1),(341,1),(402,1),(403,1),(404,1)}
364:{1,4,5}:{(300,1),(316,1),(327,1),(408,1)}
365:{1,2,4,6}:{(301,1),(315,1),(323,1),(394,1),(408,1)}
366:{1,4,6}:{(302,1),(314,1),(324,1),(395,1)}
367:{1,4,6}:{(303,1),(316,1),(328,1),(406,1)}
368:{1,4,5}:{(304,1),(317,1),(410,1),(417,1)}
369:{1,2,4,6}:{(305,1),(319,1),(325,1),(409,1),(410,1)}
370:{1,3,4,5,6}:{(307,1),(318,1),(320,1),(391,1),(395,1),(406,1),(411,1),(418,1),(420,1),(423,1),(456,1),(494,1)}
371:{1,2,3,4,5}:{(319,1),(338,1),(340,1),(411,1),(412,1)}
372:{1,2,4,5}:{(308,1),(314,1),(321,1),(392,1),(402,1),(415,1),(417,1),(466,1)}
373:{1,2,4,6}:{(309,1),(322,1),(326,1),(346,1),(347,1),(403,1),(413,1),(456,1)}
374:{1,2,4}:{(310,1),(316,1),(329,1),(392,1)}
375:{1,2,3,5,6}:{(311,1),(317,1),(325,1),(409,1),(410,1),(417,1),(467,1),(470,1)}
376:{1,2,5,6}:{(312,1),(318,1),(321,1),(326,1),(415,1),(417,1)}
377:{1,2,3,5,6}:{(306,1),(323,1),(327,1),(394,1),(400,1),(408,1),(459,1),(468,1)}
378:{1,2,3,6}:{(313,1),(320,1),(326,1),(329,1),(400,1),(416,1)}
379:{1,3,6}:{(341,1),(346,1)}
380:{1,2,3,6}:{(337,1),(344,1),(396,1),(421,1)}
381:{2,3,4,6}:{(338,1),(342,1),(419,1)}
382:{1,2,3,4,6}:{(336,1),(345,1),(394,1),(422,1),(454,1)}
383:{1,3,4,6}:{(339,1),(347,1),(395,1),(403,1),(420,1),(456,1)}
384:{2,3,4,6}:{(340,1),(343,1),(395,1),(424,1)}
385:{1,2,4,5,6}:{(333,1),(342,1),(409,1),(419,1),(465,1)}
386:{1,2,4,5}:{(331,1),(345,1),(422,1)}
387:{1,4,5,6}:{(332,1),(346,1),(406,1),(413,1),(423,1),(456,1)}
388:{1,2,4,5}:{(330,1),(344,1),(406,1),(421,1)}
389:{1,2,5,6}:{(335,1),(343,1),(407,1),(424,1)}
390:{1,5,6}:{(334,1),(347,1)}
391:{3,4,5,6}:{(349,1),(351,1),(431,1),(437,1)}
392:{2,4}:{(362,1)}
393:{3,4,5,6}:{(350,1),(352,1),(353,1),(429,1),(439,1),(448,1)}
394:{1,2,3,6}:{(355,1),(365,1),(430,1)}
395:{3,4,6}:{(354,1),(366,1),(429,1),(434,1)}
396:{1,3,4,6}:{(356,1),(367,1),(379,1),(380,1),(428,1),(451,1)}
397:{1,3,4,5}:{(355,1),(356,1),(364,1),(428,1),(430,1),(451,1)}
398:{2,3,5}:{(349,1),(360,1),(425,1),(442,1)}
399:{2,4,5,6}:{(350,1),(357,1),(359,1),(425,1)}
400:{2,3,6}:{(351,1),(358,1),(444,1)}
401:{2,3,4,6}:{(353,1),(359,1),(361,1),(426,1),(434,1),(445,1)}
402:{2,3,5}:{(354,1),(372,1),(426,1),(434,1)}
403:{1,2,3,6}:{(363,1),(373,1),(379,1),(383,1),(434,1)}
404:{1,2,3,4}:{(356,1),(363,1),(374,1),(426,1)}
405:{1,2,4,5,6}:{(348,1),(365,1),(386,1),(388,1),(427,1),(437,1)}
406:{1,4,5}:{(349,1),(367,1),(428,1),(442,1)}
407:{1,4,5,6}:{(350,1),(366,1),(389,1),(390,1),(429,1),(448,1)}
408:{1,4,6}:{(351,1),(364,1),(377,1)}
409:{1,2,5,6}:{(352,1),(369,1),(439,1)}
410:{1,4,6}:{(353,1),(368,1),(375,1)}
411:{1,3,4,5}:{(354,1),(368,1),(441,1),(446,1)}
412:{1,2,3,4,6}:{(369,1),(371,1),(381,1),(384,1),(440,1),(441,1)}
413:{1,2,5,6}:{(357,1),(373,1),(387,1),(390,1),(442,1)}
414:{1,2,4,5}:{(358,1),(364,1),(374,1),(425,1),(442,1),(444,1)}
415:{1,2,4,6}:{(359,1),(366,1),(372,1),(376,1),(434,1)}
416:{1,2,4,6}:{(360,1),(367,1),(374,1),(378,1),(442,1)}
417:{1,2,5}:{(361,1),(368,1),(445,1)}
418:{1,2,3,5,6}:{(362,1),(370,1),(376,1),(378,1),(431,1),(434,1),(438,1),(442,1),(446,1),(481,1)}
419:{2,3,5,6}:{(381,1),(385,1),(452,1)}
420:{1,3,5,6}:{(383,1),(390,1),(429,1),(450,1)}
421:{1,2,3,5}:{(380,1),(388,1),(428,1),(451,1)}
422:{1,2,3,5}:{(382,1),(386,1),(449,1)}
423:{1,3,5,6}:{(379,1),(387,1),(428,1),(447,1)}
424:{2,3,5,6}:{(384,1),(389,1),(429,1),(448,1)}
425:{2,4,5}:{(392,1),(398,1),(453,1)}
426:{2,3,4}:{(392,1),(402,1),(466,1)}
427:{1,2,3,5,6}:{(394,1),(405,1),(421,1),(422,1),(454,1),(459,1)}
428:{1,3,5}:{(396,1),(406,1)}
429:{3,5,6}:{(395,1),(407,1)}
430:{1,3,4,6}:{(394,1),(397,1),(408,1),(459,1)}
431:{2,3,5,6}:{(391,1),(398,1),(400,1),(453,1),(468,1)}
432:{2,3,4,5,6}:{(393,1),(399,1),(401,1),(457,1),(462,1),(469,1),(474,1)}
433:{1,2,3,5,6}:{(403,1),(413,1),(420,1),(423,1),(456,1),(461,1),(462,1),(475,1),(476,1)}
434:{2,3,6}:{(395,1),(402,1),(415,1)}
435:{1,2,3,4,5}:{(397,1),(404,1),(414,1),(457,1),(461,1),(463,1),(471,1)}
436:{1,2,3,4,6}:{(396,1),(403,1),(404,1),(416,1),(456,1),(460,1),(461,1),(471,1),(475,1)}
437:{1,4,5,6}:{(391,1),(406,1),(408,1),(459,1),(468,1)}
438:{1,2,4,6}:{(392,1),(418,1),(453,1),(456,1),(460,1),(464,1),(466,1)}
439:{1,4,5,6}:{(393,1),(409,1),(410,1),(467,1)}
440:{1,2,3,5,6}:{(409,1),(412,1),(419,1),(424,1),(465,1),(467,1)}
441:{1,3,4,6}:{(395,1),(410,1),(411,1),(467,1),(470,1)}
442:{1,2,5}:{(398,1),(406,1),(416,1)}
443:{1,2,4,5,6}:{(399,1),(407,1),(413,1),(415,1),(456,1),(462,1),(464,1),(474,1),(476,1)}
444:{1,2,4,6}:{(400,1),(408,1),(414,1),(453,1),(468,1)}
445:{1,2,4,6}:{(401,1),(410,1),(417,1),(466,1),(470,1)}
446:{1,2,3,5}:{(402,1),(411,1),(417,1),(466,1),(470,1)}
447:{1,3,4,6}:{(423,1),(455,1),(456,1),(475,1)}
448:{4,5,6}:{(424,1)}
449:{1,3,4,5}:{(422,1),(454,1)}
450:{1,4,5,6}:{(420,1),(456,1),(458,1),(476,1)}
451:{1,3,4}:{(421,1)}
452:{3,4,5,6}:{(419,1),(465,1)}
453:{2,4,6}:{(425,1),(431,1)}
454:{1,3,4,6}:{(427,1),(449,1),(451,1)}
455:{1,3,4,5}:{(428,1),(447,1),(451,1),(478,1),(483,1)}
456:{1,4,6}:{(433,1),(478,1),(480,1)}
457:{2,3,4,5}:{(425,1),(426,1),(479,1),(481,1),(488,1)}
458:{3,4,5,6}:{(429,1),(448,1),(450,1),(480,1),(485,1)}
459:{1,3,5,6}:{(428,1),(430,1),(437,1)}
460:{2,3,4,6}:{(426,1),(434,1),(438,1),(480,1),(481,1)}
461:{1,2,3,5}:{(428,1),(436,1),(442,1),(478,1),(481,1)}
462:{2,3,5,6}:{(429,1),(434,1),(443,1),(480,1),(481,1)}
463:{1,2,3,4,6}:{(430,1),(435,1),(444,1),(479,1),(486,1)}
464:{1,2,4,5}:{(425,1),(438,1),(442,1),(478,1),(481,1)}
465:{1,4,5,6}:{(440,1),(448,1),(452,1)}
466:{1,2,4}:{(426,1),(446,1)}
467:{1,3,5,6}:{(429,1),(439,1),(441,1)}
468:{1,2,5,6}:{(431,1),(437,1),(442,1),(444,1)}
469:{1,2,4,5,6}:{(432,1),(439,1),(445,1),(488,1),(492,1)}
470:{1,2,3,6}:{(434,1),(441,1),(445,1),(446,1)}
471:{1,2,3,4}:{(451,1),(483,1)}
472:{2,3,4,5,6}:{(452,1),(491,1)}
473:{1,2,3,4,5}:{(449,1),(482,1)}
474:{2,4,5,6}:{(448,1),(485,1)}
475:{1,2,3,6}:{(447,1),(483,1),(484,1)}
476:{1,2,5,6}:{(450,1),(484,1),(485,1)}
477:{1,3,4,5,6}:{(454,1),(455,1),(459,1),(493,1),(496,1)}
478:{1,4,5}:{(456,1),(461,1),(494,1)}
479:{2,3,4,6}:{(453,1),(457,1),(495,1),(499,1)}
480:{3,4,6}:{(456,1),(462,1),(494,1)}
481:{2,3,5}:{(460,1),(464,1),(494,1)}
482:{1,2,3,4,6}:{(454,1),(471,1),(473,1),(496,1)}
483:{1,2,3,5}:{(455,1),(471,1),(475,1),(497,1)}
484:{1,2,4,6}:{(456,1),(475,1),(476,1),(497,1),(498,1)}
485:{2,3,5,6}:{(458,1),(474,1),(476,1),(498,1)}
486:{1,2,3,5,6}:{(459,1),(461,1),(463,1),(468,1),(493,1),(495,1)}
487:{1,2,4,5,6}:{(453,1),(464,1),(468,1),(493,1),(495,1),(499,1)}
488:{1,2,4,5}:{(457,1),(466,1),(499,1),(501,1)}
489:{1,3,4,5,6}:{(458,1),(465,1),(467,1),(500,1),(502,1)}
490:{1,2,3,4,6}:{(460,1),(466,1),(470,1),(499,1),(500,1),(501,1)}
491:{1,2,4,5,6}:{(465,1),(472,1),(474,1),(502,1)}
492:{1,2,3,5,6}:{(462,1),(467,1),(469,1),(470,1),(500,1),(501,1)}
493:{1,4,5,6}:{(478,1),(486,1),(503,1)}
494:{3,4,5}:{(478,1),(480,1),(481,1)}
495:{2,3,5,6}:{(479,1),(481,1),(487,1),(503,1)}
496:{1,2,3,5,6}:{(477,1),(482,1),(483,1),(504,1)}
497:{1,2,4,5}:{(478,1),(483,1),(484,1),(505,1)}
498:{2,3,4,6}:{(480,1),(484,1),(485,1),(505,1)}
499:{1,2,4,6}:{(479,1),(488,1),(507,1)}
500:{1,3,4,6}:{(480,1),(492,1),(506,1)}
501:{1,2,3,5}:{(481,1),(488,1),(490,1),(506,1)}
502:{1,2,3,5,6}:{(485,1),(489,1),(491,1),(508,1)}
503:{3,4,5,6}:{(493,1),(494,1),(495,1)}
504:{1,2,4,5,6}:{(493,1),(496,1),(497,1),(509,1)}
505:{2,3,4,5}:{(494,1),(497,1),(498,1)}
506:{1,3,4,5}:{(494,1),(500,1),(501,1)}
507:{1,2,3,5,6}:{(495,1),(499,1),(501,1),(510,1)}
508:{1,2,3,4,6}:{(498,1),(500,1),(502,1),(511,1)}
509:{2,3,4,5,6}:{(503,1),(504,1),(505,1)}
510:{1,3,4,5,6}:{(503,1),(506,1),(507,1)}
511:{1,2,3,4,5}:{(505,1),(506,1),(508,1)}
512:{1,2,3,4,5,6}:{(509,1),(510,1),(511,1)}