Quelle  ctomax16.tbl   Sprache: unbekannt

#############################################################################
##
#W  ctomax16.tbl                GAP table library               Thomas Breuer
##
#H  ctbllib history
#H  ---------------
#H  $Log: ctomax16.tbl,v $
#H  Revision 1.4  2012/01/30 08:31:49  gap
#H  removed #H entries from the headers
#H      TB
#H
#H  Revision 1.3  2011/09/28 14:32:17  gap
#H  removed revision entry and SET_TABLEFILENAME call
#H      TB
#H
#H  Revision 1.2  2009/04/27 08:24:49  gap
#H  added fusion [2^35].(S5xL3(2)) -> B
#H      TB
#H
#H  Revision 1.1  2009/01/13 08:46:07  gap
#H  table of BM10 (contributed by Eamonn)
#H      TB
#H
##

MOT("[2^35].(S5xL3(2))",
[
"10th maximal subgroup of B,\n",
"computed by Eamonn O'Brien using Magma, March 2007"
],
[692692325498880,98956046499840,86586540687360,5772436045824,5772436045824,
1236950581248,1236950581248,618475290624,154618822656,154618822656,
103079215104,77309411328,4294967296,12884901888,12884901888,6442450944,
3221225472,1610612736,6442450944,2147483648,1610612736,805306368,268435456,
1073741824,1073741824,805306368,805306368,536870912,402653184,402653184,
134217728,134217728,134217728,100663296,100663296,100663296,100663296,
100663296,100663296,100663296,50331648,50331648,50331648,50331648,50331648,
50331648,50331648,33554432,25165824,16777216,16777216,12582912,12582912,
12582912,8388608,6291456,4194304,4194304,2097152,2097152,524288,524288,
77309411328,25769803776,12884901888,12884901888,6442450944,2147483648,
1207959552,805306368,805306368,603979776,503316480,134217728,67108864,
19327352832,6442450944,6442450944,2147483648,2013265920,1610612736,1610612736,
1610612736,1610612736,1207959552,805306368,805306368,805306368,671088640,
603979776,536870912,536870912,402653184,402653184,402653184,268435456,
268435456,201326592,201326592,134217728,134217728,134217728,134217728,
134217728,134217728,100663296,67108864,67108864,67108864,67108864,67108864,
67108864,67108864,67108864,67108864,67108864,67108864,50331648,33554432,
33554432,33554432,33554432,33554432,33554432,25165824,16777216,16777216,
16777216,16777216,16777216,16777216,16777216,16777216,16777216,16777216,
8388608,8388608,8388608,8388608,8388608,8388608,8388608,8388608,8388608,
8388608,6291456,6291456,6291456,6291456,4194304,4194304,4194304,4194304,
4194304,4194304,4194304,2097152,2097152,2097152,2097152,2097152,2097152,
2097152,2097152,1048576,1048576,524288,524288,6291456,2097152,1572864,262144,
262144,262144,262144,196608,131072,32212254720,32212254720,16106127360,
1610612736,1610612736,1073741824,1073741824,805306368,167772160,134217728,
100663296,100663296,50331648,50331648,33554432,16106127360,16106127360,
1073741824,1073741824,805306368,805306368,201326592,201326592,201326592,
201326592,201326592,201326592,167772160,134217728,134217728,134217728,
134217728,134217728,100663296,83886080,67108864,67108864,67108864,67108864,
50331648,50331648,50331648,50331648,50331648,50331648,33554432,33554432,
33554432,33554432,33554432,33554432,33554432,33554432,33554432,33554432,
33554432,33554432,25165824,25165824,25165824,25165824,25165824,25165824,
25165824,16777216,16777216,16777216,16777216,16777216,16777216,16777216,
16777216,16777216,16777216,16777216,12582912,12582912,12582912,12582912,
12582912,12582912,12582912,12582912,12582912,12582912,8388608,8388608,8388608,
8388608,8388608,8388608,8388608,8388608,8388608,8388608,8388608,8388608,
8388608,8388608,8388608,8388608,8388608,6291456,6291456,4194304,4194304,
4194304,4194304,4194304,4194304,4194304,4194304,4194304,4194304,4194304,
4194304,4194304,4194304,4194304,4194304,4194304,4194304,4194304,4194304,
4194304,4194304,4194304,4194304,4194304,4194304,4194304,3145728,3145728,
2097152,2097152,2097152,2097152,2097152,2097152,2097152,2097152,2097152,
2097152,2097152,2097152,2097152,2097152,2097152,2097152,2097152,2097152,
2097152,2097152,2097152,2097152,2097152,2097152,2097152,2097152,2097152,
2097152,1572864,1572864,1048576,1048576,1048576,1048576,1048576,1048576,
1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,
1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,
1048576,786432,786432,786432,524288,524288,524288,524288,524288,524288,524288,
524288,524288,524288,262144,262144,262144,262144,262144,262144,262144,262144,
131072,131072,393216,393216,393216,393216,327680,327680,262144,262144,262144,
262144,262144,262144,262144,262144,163840,131072,131072,131072,131072,131072,
131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,
131072,131072,131072,131072,131072,131072,65536,65536,65536,65536,65536,65536,
65536,65536,65536,65536,65536,65536,65536,65536,32768,32768,32768,32768,32768,
32768,16384,16384,16384,8192,11796480,11796480,5898240,589824,589824,393216,
393216,294912,147456,73728,73728,61440,49152,49152,49152,49152,36864,36864,
24576,18432,147456,61440,49152,36864,24576,24576,24576,24576,18432,12288,12288
,12288,12288,12288,6144,6144,6144,3072,3072,3072,3072,15728640,15728640,
15728640,15728640,1048576,1048576,1048576,1048576,786432,786432,786432,786432,
131072,131072,81920,196608,196608,98304,98304,98304,98304,81920,65536,65536,
65536,65536,49152,49152,32768,32768,32768,32768,32768,24576,24576,16384,16384,
16384,16384,16384,8192,8192,8192,4096,4096,4096,4096,26880,26880,1792,1792,
26880,26880,1792,1792,2818572288,402653184,352321536,50331648,352321536,
352321536,201326592,88080384,67108864,50331648,50331648,25165824,25165824,
25165824,25165824,12582912,12582912,12582912,12582912,8388608,8388608,8388608,
8388608,6291456,6291456,6291456,4194304,4194304,4194304,4194304,4194304,
4194304,4194304,3145728,3145728,2097152,2097152,2097152,1572864,1572864,
1572864,1572864,1572864,1048576,1048576,1048576,1048576,1048576,1048576,524288
,524288,524288,524288,524288,524288,524288,524288,393216,393216,262144,262144,
196608,1572864,1572864,524288,524288,393216,393216,393216,393216,196608,131072
,131072,131072,131072,131072,131072,131072,131072,98304,98304,65536,65536,
65536,65536,65536,32768,32768,32768,32768,32768,16384,16384,4096,16777216,
8388608,33554432,33554432,16777216,16777216,16777216,16777216,8388608,8388608,
8388608,8388608,8388608,8388608,8388608,8388608,4194304,4194304,4194304,
4194304,2097152,2097152,2097152,2097152,2097152,2097152,2097152,2097152,
2097152,2097152,2097152,2097152,2097152,2097152,2097152,2097152,2097152,
2097152,2097152,1048576,1048576,1048576,1048576,1048576,1048576,1048576,
1048576,524288,524288,524288,524288,524288,524288,524288,524288,524288,524288,
524288,524288,524288,524288,524288,524288,524288,524288,524288,524288,524288,
524288,524288,524288,524288,524288,524288,524288,524288,524288,262144,262144,
262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,
262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,
131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,65536,
65536,65536,32768,32768,32768,16384,262144,262144,262144,262144,262144,262144,
262144,262144,131072,131072,131072,131072,131072,131072,131072,131072,131072,
131072,131072,131072,131072,131072,131072,131072,65536,65536,65536,65536,65536
,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536
,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536
,65536,65536,65536,65536,65536,65536,65536,65536,32768,32768,32768,32768,32768
,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768
,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768
,32768,32768,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384
,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384
,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,8192,
8192,8192,8192,8192,8192,8192,8192,4096,4096,4096,4096,4096,4096,2048,2048,
2048,2048,2048,2048,1024,1024,4096,4096,2048,2048,2048,1024,1024,12288,12288,
6144,6144,6144,6144,6144,6144,6144,3072,3072,3072,3072,3072,3072,1536,1536,
1536,1536,1536,1536,1536,768,768,768,768,768,768,768,768,384,768,768,768,768,
768,768,384,192,192,262144,262144,262144,262144,262144,262144,262144,262144,
131072,131072,131072,131072,65536,65536,65536,65536,16384,8192,65536,65536,
32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,
16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,
16384,16384,16384,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,4096,4096,
4096,4096,4096,4096,4096,4096,4096,4096,2048,2048,2048,2048,2048,1024,1024,
1024,1024,512,1024,1024,1024,1024,1024,1024,1024,1024,512,256,256,448,448,448,
448,112,448,448,448,448,112,8257536,1179648,1032192,589824,294912,294912,
196608,147456,147456,147456,98304,98304,73728,36864,24576,24576,18432,147456,
49152,49152,49152,36864,24576,24576,24576,18432,12288,12288,6144,6144,24576,
24576,12288,12288,12288,12288,12288,6144,6144,6144,24576,24576,12288,12288,
12288,6144,6144,6144,6144,6144,6144,6144,6144,6144,6144,6144,6144,6144,6144,
3072,3072,3072,3072,3072,3072,3072,3072,3072,3072,3072,1536,1536,1536,1536,
1536,1536,1536,1536,1536,1536,1536,1536,1536,768,768,768,768,36864,36864,36864
,36864,18432,18432,18432,18432,9216,4608,4608,2304,4608,4608,3072,3072,3072,
3072,2304,1536,1536,1536,1536,768,768,768,768,768,768,768,768,768,768,384,384,
384,384,192,192,192,96,768,768,768,768,384,384,384,384,768,768,768,768,384,384
,384,384,192,192,84,84,84,84,107520,15360,13440,1920,7680,2560,1280,1280,640,
640,640,640,640,320,320,320,160,120,120,60,60,60,160,160,160,160,80,80,70,70,
70,70,33822867456,4831838208,4227858432,2415919104,805306368,201326592,
201326592,100663296,67108864,50331648,1409286144,1409286144,603979776,
402653184,402653184,301989888,301989888,201326592,201326592,201326592,
150994944,134217728,134217728,100663296,100663296,100663296,100663296,
100663296,100663296,100663296,100663296,100663296,67108864,67108864,50331648,
50331648,50331648,50331648,50331648,37748736,37748736,33554432,33554432,
33554432,33554432,33554432,33554432,33554432,33554432,25165824,25165824,
16777216,16777216,16777216,16777216,16777216,12582912,12582912,12582912,
12582912,8388608,8388608,8388608,8388608,8388608,8388608,8388608,8388608,
8388608,8388608,6291456,6291456,6291456,6291456,4194304,4194304,4194304,
4194304,4194304,4194304,4194304,4194304,4194304,4194304,3145728,3145728,
3145728,3145728,3145728,3145728,2097152,2097152,2097152,2097152,2097152,
2097152,2097152,2097152,2097152,2097152,1048576,1048576,1048576,1048576,
1048576,1048576,1048576,1048576,1048576,1048576,524288,524288,524288,524288,
524288,524288,262144,262144,262144,262144,786432,786432,393216,393216,393216,
393216,393216,393216,393216,393216,393216,393216,262144,262144,196608,131072,
131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,
65536,65536,65536,65536,65536,65536,49152,49152,32768,32768,16384,16384,
12582912,12582912,12582912,25165824,25165824,25165824,25165824,12582912,
12582912,12582912,12582912,12582912,12582912,12582912,12582912,12582912,
8388608,8388608,6291456,6291456,6291456,6291456,4194304,4194304,4194304,
4194304,4194304,4194304,4194304,4194304,4194304,4194304,4194304,4194304,
4194304,4194304,4194304,4194304,4194304,4194304,4194304,4194304,4194304,
3145728,3145728,3145728,3145728,3145728,2097152,2097152,2097152,2097152,
2097152,2097152,2097152,2097152,2097152,2097152,2097152,2097152,2097152,
2097152,2097152,2097152,2097152,2097152,2097152,2097152,1572864,1572864,
1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,
1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,
1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,
1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,1048576,
1048576,786432,786432,786432,524288,524288,524288,524288,524288,524288,524288,
524288,524288,524288,524288,524288,524288,524288,524288,524288,524288,524288,
262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,
262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,
262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,
262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,262144,
262144,65536,65536,65536,65536,32768,32768,786432,786432,524288,524288,524288,
524288,524288,524288,524288,524288,393216,393216,393216,393216,262144,262144,
262144,262144,262144,262144,131072,131072,131072,131072,131072,131072,131072,
131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,
131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,131072,
131072,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536
,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536
,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536
,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,65536,32768,32768
,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768
,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768
,32768,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384
,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384
,16384,16384,16384,16384,8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,
4096,4096,4096,4096,4096,2048,2048,2048,2048,1024,1024,36864,36864,18432,18432
,6144,6144,6144,18432,12288,12288,9216,9216,6144,6144,6144,6144,6144,6144,6144
,6144,4608,4608,4608,3072,3072,3072,3072,3072,3072,1536,1536,1536,1536,1536,
1536,1536,1536,1536,1536,1536,768,768,768,768,768,768,768,768,384,384,393216,
393216,393216,393216,131072,131072,131072,131072,65536,65536,65536,65536,32768
,32768,24576,196608,196608,98304,98304,98304,98304,65536,65536,65536,65536,
65536,65536,49152,49152,32768,32768,32768,32768,32768,32768,32768,32768,32768,
32768,32768,32768,32768,32768,24576,24576,24576,16384,16384,16384,16384,16384,
16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,16384,
8192,8192,8192,8192,8192,8192,8192,8192,4096,4096,4096,4096,4096,2048,2048,512
,512,1024,1024,1024,1024,1024,1024,1024,1024,512,512,672,672,224,224,672,672,
224,224,11010048,1572864,1376256,786432,262144,196608,1376256,1376256,196608,
196608,98304,98304,98304,98304,32768,32768,32768,32768,24576,24576,12288,8192,
8192,4096,12288,12288,2048,131072,131072,65536,65536,65536,65536,65536,32768,
32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,32768,
32768,16384,16384,16384,16384,16384,16384,16384,8192,8192,8192,8192,8192,8192,
8192,8192,8192,8192,8192,8192,8192,8192,8192,8192,4096,4096,4096,4096,4096,
4096,4096,4096,4096,4096,2048,2048,2048,1024,1024,1024,4096,4096,2048,2048,
2048,2048,2048,1024,512,512,512,512,512,256,256,768,768,384,384,384,384,384,
384,384,192,192,192,192,192,192,96,96,96,8192,8192,8192,16384,16384,16384,
16384,8192,8192,8192,8192,8192,8192,8192,4096,4096,4096,4096,4096,4096,2048,
2048,1024,1024,1024,1024,512,1024,1024,512,512,512,512,512,512,256,256,128,128
,128,128,112,112,112,112,112,112,112,112,1032192,147456,129024,73728,24576,
36864,36864,18432,18432,12288,12288,6144,4608,4608,6144,6144,6144,12288,12288,
6144,6144,6144,6144,6144,6144,6144,6144,3072,3072,3072,3072,3072,3072,3072,
3072,1536,1536,1536,1536,1536,1536,1536,1536,1536,768,768,768,768,384,384,4608
,4608,2304,2304,768,4608,4608,2304,2304,2304,2304,768,768,768,768,768,768,768,
192,192,96,96,96,768,768,768,768,192,768,768,768,768,384,384,384,384,192,192,
192,84,84,84,84],
[,[1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,2,2,2,2,2,5,5,2,5,5,4,10,8,8,
8,8,10,7,5,5,9,9,10,7,4,5,10,10,9,12,12,9,9,11,10,12,10,17,17,1,1,1,1,1,1,1,1,
1,1,1,1,1,2,2,2,2,2,5,2,2,5,2,5,5,2,2,2,5,5,2,5,2,5,5,2,2,5,5,2,5,5,5,5,2,10,
10,5,2,10,5,5,10,2,2,5,5,10,5,10,2,5,4,5,10,9,9,8,8,10,5,5,5,4,10,10,5,7,9,10,
10,5,4,9,9,10,10,10,10,11,10,9,9,10,10,9,10,9,10,10,9,11,12,12,13,13,17,17,17,
16,17,17,16,18,16,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,10,10,8,8,2,2,2,
8,8,8,8,2,2,10,10,8,8,10,10,2,2,2,2,10,10,8,10,10,10,10,8,8,2,2,2,2,9,9,10,10,
9,9,10,8,8,5,5,10,10,10,10,10,10,8,8,8,8,8,8,65,65,65,65,8,10,10,11,11,10,10,5
,8,11,11,5,5,8,10,8,8,65,65,10,10,10,10,10,12,12,8,11,10,10,9,10,10,10,10,4,10
,7,10,10,11,4,7,5,9,10,66,65,10,10,11,10,9,8,11,9,10,10,11,11,9,11,11,10,8,12,
5,8,9,10,9,9,65,65,65,65,65,65,12,11,12,11,12,10,19,19,20,20,12,12,66,65,66,65
,65,66,66,65,65,66,12,12,11,65,66,65,20,20,65,65,66,66,19,20,19,19,20,20,19,68
,68,68,68,20,22,22,88,88,88,88,89,89,28,28,28,104,104,104,104,28,89,88,28,27,
33,33,33,33,88,28,27,33,33,33,33,104,104,104,88,104,91,91,88,91,104,91,92,91,
31,30,30,31,30,30,92,91,91,48,34,34,104,104,48,34,118,48,125,450,450,450,450,
450,450,450,450,450,450,450,450,450,450,450,450,450,450,450,450,451,451,451,
451,451,455,455,451,451,455,455,455,455,455,455,455,455,456,455,455,456,180,
180,180,180,180,180,180,180,181,181,182,182,182,181,186,218,218,211,211,211,
211,205,216,216,218,218,200,200,207,208,215,251,251,236,236,243,243,223,223,
251,303,303,270,307,300,267,304,538,538,538,538,542,542,542,542,1,1,1,1,5,5,5,
4,5,5,2,19,19,8,8,4,7,10,10,8,8,19,19,19,10,19,10,10,20,20,7,20,20,19,19,10,20
,20,10,9,11,19,21,19,19,19,19,13,13,13,19,21,20,19,20,20,19,21,19,20,13,22,27,
27,27,27,30,30,30,30,27,27,27,30,30,30,30,28,28,34,34,38,38,38,38,25,36,31,41,
36,41,47,48,57,1,1,8,8,8,8,8,2,5,8,8,5,5,2,2,5,19,19,8,8,7,4,10,10,10,10,8,8,
19,19,19,20,20,20,20,7,4,10,10,7,13,13,19,19,19,19,10,19,19,19,19,20,20,19,19,
19,21,21,20,19,20,20,19,11,13,10,9,20,19,20,19,65,65,65,65,13,13,20,19,19,21,
20,13,19,20,68,65,65,68,66,68,68,66,68,68,67,64,64,67,10,20,13,19,13,21,19,22,
20,19,22,20,21,21,22,22,75,75,74,16,15,15,28,28,16,28,28,28,25,25,27,17,16,25,
25,28,28,28,91,91,17,15,27,18,91,84,30,92,100,100,100,100,89,89,127,127,127,
127,30,28,33,33,38,38,38,38,33,33,27,31,28,33,33,27,27,31,33,33,30,30,25,18,41
,36,31,27,38,38,93,36,36,51,51,93,116,116,36,34,89,112,115,112,115,127,31,34,
38,38,127,100,100,36,36,31,41,47,97,101,41,113,34,48,51,51,44,44,114,35,40,34,
51,40,40,55,118,102,41,47,127,55,48,127,128,128,47,48,112,112,141,141,105,128,
125,123,55,44,130,130,141,152,145,59,140,136,59,60,53,159,164,158,56,167,168,
170,170,61,170,61,61,62,450,450,450,450,451,455,455,455,455,463,463,457,457,
463,463,463,456,454,456,460,460,463,459,464,463,464,463,465,460,460,468,477,
482,482,477,482,482,477,490,490,182,181,182,182,181,182,181,181,180,180,184,
184,185,185,183,183,186,191,216,216,214,200,200,214,215,207,208,211,211,211,
211,216,216,218,205,224,223,218,251,251,243,243,269,269,269,269,215,207,210,
270,219,272,272,249,249,293,293,246,246,241,300,298,328,328,298,304,306,290,
263,312,313,334,320,288,375,370,376,377,387,409,409,407,407,416,416,415,415,
413,445,440,538,538,540,540,541,542,542,544,544,545,1059,1059,1059,1059,1059,
1059,1059,1059,1059,1059,1059,1059,1059,1059,1059,1059,1059,1060,1060,1060,
1060,1060,1060,1060,1060,1060,1060,1060,1060,1060,1059,1059,1059,1059,1059,
1059,1059,1059,1059,1059,1060,1060,1060,1060,1060,1060,1060,1070,1070,1070,
1070,1060,1060,1060,1064,1064,1064,1064,1060,1063,1063,1063,1060,1064,1064,
1070,1070,1070,1070,1063,1069,1071,1071,1071,1071,1071,1071,1071,1071,1070,
1070,1069,1070,1083,1083,1083,1083,1146,1146,1146,1146,1146,1146,1146,1146,
1146,1146,1146,1146,1147,1147,1147,1149,1149,1147,1147,1147,1148,1149,1148,
1149,1154,1154,1154,1148,1149,1154,1148,1148,1148,1150,1150,1152,1152,1148,
1165,1165,1163,1092,1092,1092,1092,1095,1091,1091,1095,1102,1102,1102,1102,
1114,1114,1116,1116,1128,1128,1205,1205,1207,1207,1209,1209,1209,1209,1210,
1210,1209,1209,1209,1209,1210,1210,1210,1210,1214,1214,1214,1226,1226,1226,
1226,1227,1218,1218,1218,1218,1217,1219,1237,1237,1239,1239,1,1,1,1,1,1,1,1,1,
1,5,5,2,5,5,10,10,5,5,5,10,5,5,10,10,2,5,5,10,10,2,2,5,2,5,2,5,10,10,10,9,5,5,
10,10,5,5,5,5,5,5,5,5,2,10,2,19,9,10,19,10,10,10,10,5,5,10,10,10,10,9,9,10,9,
19,9,10,10,10,10,9,10,10,19,19,19,19,19,19,19,9,19,19,19,19,10,9,9,10,9,19,19,
20,20,19,19,20,20,20,20,20,19,20,19,19,20,20,20,20,19,29,29,26,30,30,30,26,46,
30,26,46,26,29,29,35,26,26,26,26,46,46,30,30,29,29,30,30,46,46,40,40,35,29,44,
45,40,46,44,45,1,1,1,10,10,65,65,10,10,10,2,2,2,10,10,66,65,65,65,65,2,10,10,
10,10,10,5,5,5,5,19,19,19,19,5,5,10,10,65,66,66,65,66,66,64,64,65,65,8,8,8,8,
19,19,19,19,19,19,5,10,10,10,10,10,65,65,66,65,10,10,66,11,11,9,10,65,65,64,64
,65,65,65,65,9,10,19,19,19,19,9,9,11,8,11,8,20,19,19,20,19,20,20,19,20,20,19,
19,10,10,9,19,19,20,19,66,65,65,66,20,19,66,66,68,68,65,65,20,19,67,20,20,68,
65,65,68,68,65,66,19,19,65,68,68,68,68,65,66,20,13,19,20,20,19,20,20,19,20,13,
13,19,20,19,68,68,13,20,67,19,20,20,19,20,19,23,23,23,23,75,75,93,93,33,33,33,
33,33,33,33,33,15,15,15,15,33,33,33,33,93,93,16,16,33,33,28,28,28,28,28,28,16,
28,28,16,33,33,28,28,28,28,28,28,93,93,28,28,46,46,46,46,51,33,33,30,26,26,30,
30,33,30,93,30,30,30,40,30,33,40,35,26,26,35,46,46,46,104,104,91,91,104,104,91
,91,88,88,88,88,100,100,100,100,100,100,46,100,100,51,51,51,35,40,40,46,40,35,
46,40,46,127,127,116,116,32,29,110,110,110,110,46,40,40,35,40,46,51,32,29,51,
55,55,51,51,127,128,128,112,112,128,128,129,129,127,127,141,141,115,112,107,
117,130,130,130,130,40,40,44,44,36,44,141,140,140,129,128,128,55,36,152,47,57,
152,57,62,62,62,62,174,174,450,450,450,450,450,450,450,451,455,455,460,460,455
,455,455,455,455,451,455,455,460,459,460,455,455,460,460,455,455,460,459,463,
463,463,463,460,463,463,463,463,482,474,474,482,482,474,474,482,479,479,180,
180,180,180,184,184,184,184,181,182,181,182,187,187,191,218,218,211,211,211,
211,218,218,243,243,243,243,200,200,251,251,223,224,223,224,211,211,211,211,
243,243,243,243,241,241,219,216,216,207,207,269,269,269,269,223,223,251,200,
214,251,251,218,218,243,249,249,267,267,290,290,307,307,306,293,303,272,236,
323,317,387,388,409,407,415,416,407,416,409,415,413,406,538,538,540,540,542,
542,544,544,546,546,546,547,547,546,550,550,550,550,559,559,569,569,569,569,
559,559,557,557,562,582,582,575,609,609,611,546,546,547,546,547,547,546,547,
559,559,559,559,569,569,569,569,554,554,550,550,550,550,569,569,559,559,554,
556,556,559,559,557,557,557,567,575,575,582,582,575,575,557,567,566,566,569,
582,562,575,582,569,583,583,576,576,593,593,578,602,595,601,609,609,611,609,
611,609,611,610,630,630,618,628,628,634,636,920,920,919,920,920,927,927,927,
927,932,933,931,931,932,933,936,953,953,640,641,641,645,645,645,645,652,652,
647,649,649,655,655,656,657,669,669,673,673,672,675,715,704,698,699,749,769,
769,770,804,804,801,801,779,821,853,916,916,914,914,1049,1049,1051,1051,1054,
1054,1056,1056,1059,1059,1059,1059,1059,1064,1064,1064,1060,1064,1064,1064,
1064,1063,1059,1059,1059,1064,1064,1060,1064,1064,1060,1060,1064,1064,1064,
1064,1064,1064,1070,1070,1070,1070,1060,1065,1070,1070,1069,1064,1063,1064,
1069,1065,1081,1081,1081,1081,1086,1086,1146,1146,1146,1146,1146,1149,1149,
1149,1149,1148,1147,1147,1149,1148,1147,1147,1148,1148,1167,1167,1162,1166,
1168,1092,1092,1092,1092,1098,1102,1102,1102,1102,1114,1116,1116,1114,1105,
1120,1120,1205,1205,1207,1207],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,
117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,
155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,
174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,
193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,
212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,
250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,
269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,
288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,
307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,
326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,
345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,
364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,
383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,
402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,
421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,
440,441,442,443,444,445,446,447,448,449,1,2,3,6,7,5,4,8,63,9,10,73,67,19,21,11
,12,69,22,72,76,80,78,85,26,87,86,27,90,29,84,81,30,94,118,42,43,125,49,106,34
,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,
510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,
529,530,531,532,533,534,535,536,537,542,543,544,545,538,539,540,541,546,547,
548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,
567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,
586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,
605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,
624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,
643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,
662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,
681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,
700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,
719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,
738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,
757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,
776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,
795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,
814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,
833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,
852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,
871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,
890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,
909,910,911,912,913,914,915,916,917,918,547,546,549,548,556,555,552,551,550,
558,571,560,559,557,569,580,561,562,553,563,564,579,585,603,604,588,587,586,
570,584,607,608,613,614,609,612,615,616,625,626,959,960,961,962,963,964,965,
966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,
985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,
1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,
1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,
1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,
1048,1054,1055,1056,1057,1058,1049,1050,1051,1052,1053,1,2,3,63,9,10,64,12,6,7
,66,65,8,69,71,70,72,76,82,83,77,85,15,14,88,90,95,93,98,99,178,179,181,180,
189,188,182,185,190,191,199,204,194,211,193,221,219,259,260,261,262,222,198,
197,201,200,217,218,220,237,240,241,235,239,238,281,280,340,339,236,367,256,
257,202,203,258,253,254,255,366,310,309,368,392,391,389,390,1,2,9,10,7,3,12,6,
8,63,69,72,85,76,16,40,35,18,90,17,44,46,45,149,39,37,36,147,148,38,146,52,52,
47,41,54,53,56,171,169,176,494,491,493,492,502,499,500,501,510,511,508,509,518
,517,507,506,525,524,542,543,538,539,1209,1210,1211,1212,1213,1214,1215,1216,
1217,1218,1219,1220,1221,1222,1223,1224,1225,1209,1210,1212,1211,1213,1231,
1232,1233,1234,1235,1236,1239,1240,1237,1238,1241,1242,1243,1244,1245,1246,
1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,
1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,
1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,
1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,
1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,
1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,
1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,
1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,
1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,
1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,
1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,
1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,
1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,
1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,
1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,
1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,
1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,
1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,
1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,
1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,
1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,
1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,
1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,
1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,
1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,
1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,
1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,
1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,
1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,
1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,
1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,
1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,
1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,
1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,
1242,1241,1243,1244,1246,1247,1250,1253,1255,1254,1257,1256,1251,1252,1259,
1260,1258,1276,1277,1275,1280,1281,1261,1268,1267,1270,1269,1290,1291,1299,
1298,1300,1327,1325,1326,1278,1328,1330,1329,1297,1366,1370,1372,1364,1365,
1367,1363,1369,1362,1361,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,
1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,
1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,
1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,
1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,
1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,
1892,1893,1894,1895,1896,1897,1902,1903,1904,1905,1898,1899,1900,1901,1906,
1907,1908,1909,1910,1911,1913,1912,1915,1914,1916,1917,1918,1919,1920,1921,
1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,
1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1952,
1951,1954,1953,1955,1956,1957,1958,1959,1961,1960,1962,1963,1964,1965,1966,
1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,
1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,
1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,1906,1907,1909,
1911,1908,1912,1913,1915,1914,1924,1919,1917,1916,1925,1918,1926,1931,1930,
2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2038,2037,2040,2039,2041,
2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2055,2054,2056,
2057,2058,2059,2060,2061,2062,2063,2065,2064,2066,2067,2072,2073,2075,2074,
2068,2069,2071,2070,1241,1242,1243,1244,1245,1256,1257,1261,1253,1264,1265,
1279,1280,1281,1400,1402,1401,1403,1404,1412,1413,1414,1411,1410,1408,1407,
1409,1421,1468,1469,1418,1419,1405,1406,1420,1444,1446,1447,1415,1507,1509,
1508,1443,1445,1589,1590,1592,1591,1580,1579,1242,1241,1244,1243,1248,1256,
1257,1261,1280,1281,1253,1266,1313,1311,1272,1271,1314,1312,1368,1371,1375,
1394,1395,1809,1808,1810,1807,1821,1824,1827,1825,1826,1835,1822,1823,1834,
1852,1851,1850,1902,1903,1898,1899],,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115
,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,
135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,
154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,
173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,
192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,
211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,
230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,
249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,
268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,
287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,
306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,
344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,
363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,
382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,
401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,
420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,
439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,
458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,
477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,
496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,
515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,
534,535,536,537,542,543,544,545,538,539,540,541,546,547,548,549,550,551,552,
553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,
572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,
591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,
610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,
629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,
648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,
667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,
686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,
705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,
724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,
743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,
762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,
781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,
800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,
819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,
838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,
857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,
876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,
895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,
914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,
933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,
952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,
971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,
990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,
1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,
1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,
1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1054,1055,1056,
1057,1058,1049,1050,1051,1052,1053,1059,1060,1061,1062,1063,1064,1065,1066,
1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,
1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,
1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,
1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,
1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,
1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,
1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,
1172,1173,1174,1175,1176,1178,1177,1179,1180,1181,1182,1183,1184,1185,1186,
1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,
1202,1203,1204,1207,1208,1205,1206,1,2,3,73,80,89,178,179,186,180,205,193,194,
212,394,393,403,450,451,461,452,471,492,491,494,493,505,512,542,543,538,539,
1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,
1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,
1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,
1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,
1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,
1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,
1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,
1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,
1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,
1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,
1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,
1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,
1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,
1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,
1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,
1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,
1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,
1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,
1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,
1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,
1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,
1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,
1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,
1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,
1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,
1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,
1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,
1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,
1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,
1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,
1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,
1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,
1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,
1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,
1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,
1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,
1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,
1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,
1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,
1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,
1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,
1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,
1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,
1886,1887,1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1902,1903,1904,
1905,1898,1899,1900,1901,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,
1916,1917,1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,
1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,
1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,
1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,
1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,
1991,1992,1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,
2006,2007,2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,
2021,2022,2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,
2036,2037,2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,
2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2065,2064,
2067,2066,2072,2073,2074,2075,2068,2069,2070,2071,2076,2077,2078,2079,2080,
2081,2082,2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,
2096,2097,2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,
2111,2112,2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,
2126,2127,2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140,
2141,2142,2143,2144,2145,2146,2147,2148,2149,2150,2151,2152,2153,2154,2155,
2156,2157,2158,2159,2160,2161,2162,2163,2164,2167,2168,2165,2166],,[1,2,3,4,5,
6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,
59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,
165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,
184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,
203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,
222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,
241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,
260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,
279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,
298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,
317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,
336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,
374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,
393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,
412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,
431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,
450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,
469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,
488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,
507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,
526,527,528,529,530,531,532,533,534,535,536,537,1,3,5,4,1,3,5,4,546,547,548,
549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,
568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,
587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,
606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,
625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,
644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,
663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,
682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,
701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,
720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,
739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,
758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,
777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,
796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,
815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,
834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,
853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,
872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,
891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,
910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,
929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,
948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,
967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,
986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,
1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,
1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,
1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,546
,548,550,551,553,546,548,550,551,553,1059,1060,1061,1062,1063,1064,1065,1066,
1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,
1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,
1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,
1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,
1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,
1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,
1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,
1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,
1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,
1202,1203,1204,1059,1061,1059,1061,1209,1210,1211,1212,1213,1214,1215,1216,
1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,
1232,1233,1234,1235,1236,1209,1211,1209,1211,1241,1242,1243,1244,1245,1246,
1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,
1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,
1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,
1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,
1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,
1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,
1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,
1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,
1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,
1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,
1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,
1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,
1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,
1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,
1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,
1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,
1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,
1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,
1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,
1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,
1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,
1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,
1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,
1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,
1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,
1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,
1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,
1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,
1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,
1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,
1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,
1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,
1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,
1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,
1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,
1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,
1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,
1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,
1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,
1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,
1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,
1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,
1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,
1892,1893,1894,1895,1896,1897,1241,1243,1252,1251,1241,1243,1252,1251,1906,
1907,1908,1909,1910,1911,1913,1912,1915,1914,1916,1917,1918,1919,1920,1921,
1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,
1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1952,
1951,1954,1953,1955,1956,1957,1958,1959,1961,1960,1962,1963,1964,1965,1966,
1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,
1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,1993,1994,1995,1996,
1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,2008,2009,2010,2011,
2012,2013,2015,2014,2017,2016,2018,2019,2020,2021,2022,2023,2024,2025,2026,
2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2038,2037,2040,2039,2041,
2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,2053,2055,2054,2056,
2057,2058,2059,2060,2061,2062,2063,2064,2065,2067,2066,1906,1908,1912,1913,
1906,1908,1912,1913,2076,2077,2078,2079,2080,2081,2082,2083,2084,2085,2086,
2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,2098,2099,2100,2101,
2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,2113,2114,2115,2116,
2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,2128,2129,2130,2131,
2132,2133,2134,2135,2136,2137,2138,2139,2140,2141,2142,2143,2144,2145,2146,
2147,2148,2149,2150,2151,2152,2153,2154,2155,2156,2157,2158,2159,2160,2161,
2162,2163,2164,2076,2078,2076,2078]],
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1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
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1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,
E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3
,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3
,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,E(7)+E(7)^2+E(7)^4,
E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,
E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6,3,3,3,3,3,3,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,1,
1,1,1,1,1,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3
,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3
,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3
,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3
,3,3,3,3,3,3,3,3,3,3,3,3,3,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,E(7)+E(7)^2+E(7)^4,
E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,3,3,3,3,3,3,3,3
,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,
-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1
,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,
E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1
,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
,E(7)+E(7)^2+E(7)^4,E(7)+E(7)^2+E(7)^4,E(7)^3+E(7)^5+E(7)^6,
E(7)^3+E(7)^5+E(7)^6],
[GALOIS,[2,3]],[6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2
,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0
,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,-1,-1,-1,-1,-1,-1,-1,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,-1,-1,-1,-1,-1,-1,-1,-1,-1,-1,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,-1,6,6,6,6,6,6,2,2,2,2,2,2,2,2,2,2,2,0,0,0,
--> --------------------

--> maximum size reached

--> --------------------