File: tmo82mx.tom

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#############################################################################
##
#W  tmo82mx.tom         GAP table of marks library           Thomas Merkwitz
##
#H  @(#)$Id: tmo82mx.tom,v 1.2 2003/12/15 10:04:41 gap Exp $
##
#Y  Copyright (C)  1998,  Lehrstuhl D fuer Mathematik,  RWTH Aachen,  Germany
##
##  This file contains tables of marks of some maximal subgroups of "O8-(2)" 
##  and "O8+(2)".
##
#H  tomlib history
#H  --------------
#H  $Log: tmo82mx.tom,v $
#H  Revision 1.2  2003/12/15 10:04:41  gap
#H  ***&O_8^-(2)&:&The derived subgroup for the last class in the maximal
#H  subgroup $(S_3 \times S_3 \times A_5):2$ of $O_8^-(2)$ was corrected,
#H  it is $362$ not $368$
#H      TB
#H
#H  Revision 1.1  2003/02/26 17:33:23  gap
#H  This file had apparently been forgotten since the very beginning of
#H  GAP 4.  One explanation is that it is related to the groups in the
#H  four huge files which had been added later on, but is itself small.
#H      TB
#H
##
Revision.tmo82mx_tom :=
    "@(#)$Id: tmo82mx.tom,v 1.2 2003/12/15 10:04:41 gap Exp $";

SetActualLibFileName("tmo82mx");


LIBTOM( "(S3xS3xA5):2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12],[1,
4,13],[1,2,3,14],[1,3,15],[1,4,16],[1,2,4,6,17],[1,4,5,18],[1,4,6,19],[1,3,5,
20],[1,4,7,21],[1,3,4,7,22],[1,3,6,23],[1,6,7,24],[1,6,7,25],[1,7,26],[1,5,7,
27],[1,2,6,7,28],[1,29],[1,2,8,30],[1,2,8,31],[1,3,9,32],[1,3,8,33],[1,4,10,
34],[1,5,9,35],[1,4,8,36],[1,4,9,37],[1,6,8,38],[1,5,9,39],[1,5,10,40],[1,6,
10,41],[1,2,10,42],[1,5,10,43],[1,7,8,44],[1,7,9,45],[1,6,8,46],[1,7,10,47],[
1,3,10,48],[1,5,11,49],[1,2,12,50],[1,5,11,51],[1,6,12,52],[1,7,11,53],[1,7,
12,54],[1,2,4,6,13,17,19,55],[1,3,4,7,13,21,22,56],[1,4,5,13,16,18,57],[1,2,3,
5,14,15,20,58],[1,3,4,5,7,18,20,22,27,59],[1,3,4,7,16,22,60],[1,3,4,7,15,22,
61],[1,3,4,7,22,26,62],[1,2,3,4,6,7,14,17,22,23,28,63],[1,3,4,6,7,19,22,23,24,
25,64],[1,4,5,7,16,18,21,65],[1,3,5,6,15,20,23,66],[1,5,6,7,24,26,27,67],[1,2,
4,6,7,17,19,21,24,25,28,68],[1,5,6,7,25,26,27,69],[1,8,9,70],[1,9,10,11,71],[
1,8,10,12,72],[1,9,11,12,73],[1,8,11,12,74],[1,4,29,75],[1,2,29,76],[1,6,29,
77],[1,3,29,78],[1,7,29,79],[1,4,10,13,80],[1,2,3,8,14,30,31,33,81],[1,4,9,13,
37,82],[1,4,8,13,36,83],[1,4,11,13,84],[1,4,12,13,85],[1,4,5,9,18,35,37,86],[
1,2,4,6,8,17,30,36,38,87],[1,4,6,8,19,36,38,88],[1,4,9,16,37,89],[1,3,5,9,20,
32,35,39,90],[1,4,5,10,18,34,40,43,91],[1,2,4,6,10,17,34,41,42,92],[1,4,7,9,
21,37,45,93],[1,3,4,7,8,22,33,36,44,94],[1,3,6,8,23,33,38,46,95],[1,3,5,10,20,
40,48,96],[1,3,4,7,9,22,32,37,45,97],[1,4,9,16,37,98],[1,3,5,10,20,43,48,99],[
1,3,4,7,10,22,34,47,48,100],[1,2,3,10,14,42,48,101],[1,3,10,15,48,102],[1,4,6,
8,19,36,46,103],[1,3,6,10,23,41,48,104],[1,4,5,9,18,37,39,105],[1,6,7,8,25,38,
44,46,106],[1,4,7,8,21,36,44,107],[1,2,6,7,8,28,30,44,46,108],[1,2,4,6,8,17,
31,36,46,109],[1,3,10,15,48,110],[1,6,7,8,24,38,44,46,111],[1,2,6,7,8,28,31,
38,44,112],[1,5,7,9,27,35,39,45,113],[1,2,6,7,10,28,41,42,47,114],[1,5,7,10,
27,40,43,47,115],[1,5,7,11,27,49,51,53,116],[1,2,6,7,12,28,50,52,54,117],[1,8,
29,118],[1,9,29,119],[1,2,3,4,6,7,13,14,17,19,21,22,23,24,25,28,55,56,63,64,
68,120],[1,3,4,5,7,13,16,18,20,21,22,27,56,57,59,60,65,121],[1,3,4,6,7,15,16,
19,22,23,24,25,60,61,64,122],[1,2,3,4,6,7,14,16,17,22,23,26,28,60,62,63,123],[
1,2,3,4,5,6,7,14,15,17,18,20,22,23,27,28,58,59,61,63,66,124],[1,3,4,7,13,15,
21,22,26,56,61,62,125],[1,3,4,5,6,7,18,19,20,22,23,24,25,26,27,59,62,64,67,69,
126],[1,3,8,9,32,33,70,127],[1,2,8,9,30,31,70,128],[1,7,8,9,44,45,70,129],[1,
4,8,9,36,37,70,130],[1,5,9,10,11,35,43,49,71,131],[1,5,9,10,11,35,40,71,132],[
1,5,8,9,35,39,70,133],[1,4,9,10,11,34,37,71,134],[1,4,8,10,12,34,36,72,135],[
1,2,8,10,12,30,42,72,136],[1,6,8,10,12,38,41,52,72,137],[1,6,8,9,38,46,70,
138],[1,2,8,11,12,30,50,74,139],[1,5,9,11,12,35,51,73,140],[1,2,8,10,12,31,42,
50,72,141],[1,3,9,10,11,32,48,71,142],[1,7,8,10,12,44,47,54,72,143],[1,5,9,10,
11,39,40,51,71,144],[1,3,8,10,12,33,48,72,145],[1,6,8,10,12,41,46,72,146],[1,
7,9,10,11,45,47,53,71,147],[1,5,9,10,11,39,43,71,148],[1,5,9,11,12,39,49,73,
149],[1,7,9,11,12,45,53,54,73,150],[1,7,8,11,12,44,53,54,74,151],[1,6,8,11,12,
46,52,74,152],[1,2,4,6,17,29,75,76,77,153],[1,4,16,29,75,154],[1,3,6,23,29,77,
78,155],[1,2,3,14,29,76,78,156],[1,3,4,7,22,29,75,78,79,157],[1,7,26,29,79,
158],[1,2,6,7,28,29,76,77,79,159],[1,2,4,6,8,13,17,19,30,36,38,55,83,87,88,
160],[1,3,4,7,8,13,21,22,33,36,44,56,83,94,107,161],[1,2,4,6,8,13,17,19,31,36,
46,55,83,103,109,162],[1,2,4,6,10,13,17,19,42,55,80,163],[1,4,5,9,13,16,18,35,
37,57,82,86,89,164],[1,4,5,10,13,16,18,43,57,80,165],[1,3,4,7,9,13,21,22,32,
37,45,56,82,93,97,166],[1,3,4,7,10,13,21,22,48,56,80,167],[1,2,4,6,12,13,17,
19,50,55,85,168],[1,4,5,11,13,16,18,49,57,84,169],[1,3,4,5,7,10,18,20,22,27,
34,40,43,47,48,59,91,96,99,100,115,170],[1,2,3,5,10,14,15,20,42,43,48,58,99,
101,102,171],[1,2,3,4,6,7,10,14,17,22,23,28,34,41,42,47,48,63,92,100,101,104,
114,172],[1,2,3,5,10,14,15,20,40,42,48,58,96,101,110,173],[1,4,5,7,9,16,18,21,
35,37,45,65,86,93,98,174],[1,2,4,6,7,8,17,19,21,24,25,28,30,36,38,44,46,68,87,
103,106,107,108,111,175],[1,4,5,9,13,16,18,37,39,57,82,98,105,176],[1,3,4,6,7,
8,19,22,23,24,25,33,36,38,44,46,64,88,94,95,103,106,111,177],[1,3,4,5,7,9,18,
20,22,27,32,35,37,39,45,59,86,90,97,105,113,178],[1,3,5,6,10,15,20,23,40,41,
48,66,96,102,104,179],[1,3,4,7,9,16,22,32,37,45,60,89,97,98,180],[1,4,5,7,9,
16,18,21,37,39,45,65,89,93,105,181],[1,3,4,7,10,15,22,34,47,48,61,100,102,110,
182],[1,3,5,6,10,15,20,23,41,43,48,66,99,104,110,183],[1,2,3,4,6,7,8,14,17,22,
23,28,30,31,33,36,38,44,46,63,81,87,94,95,108,109,112,184],[1,2,4,6,7,8,17,19,
21,24,25,28,31,36,38,44,46,68,88,106,107,109,111,112,185],[1,8,9,10,11,12,70,
71,72,73,74,186],[1,2,8,29,30,76,118,187],[1,6,8,29,38,77,118,188],[1,4,9,29,
37,75,119,189],[1,4,8,29,36,75,118,190],[1,6,8,29,46,77,118,191],[1,2,8,29,31,
76,118,192],[1,7,9,29,45,79,119,193],[1,3,9,29,32,78,119,194],[1,3,8,29,33,78,
118,195],[1,7,8,29,44,79,118,196],[1,2,3,4,5,6,7,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,120,121,122,
123,124,125,126,197],[1,2,3,8,9,14,30,31,32,33,70,81,127,128,198],[1,4,8,9,13,
36,37,70,82,83,130,199],[1,3,5,8,9,20,32,33,35,39,70,90,127,133,200],[1,4,8,
10,12,13,36,72,80,83,85,201],[1,4,9,10,11,13,37,71,80,82,84,202],[1,3,8,9,15,
32,33,70,127,203],[1,4,7,8,9,21,36,37,44,45,70,93,107,129,130,204],[1,6,7,8,9,
25,38,44,45,46,70,106,129,138,205],[1,6,7,8,9,24,38,44,45,46,70,111,129,138,
206],[1,3,4,7,8,9,22,32,33,36,37,44,45,70,94,97,127,129,130,207],[1,3,6,8,9,
23,32,33,38,46,70,95,127,138,208],[1,4,8,11,12,13,36,74,83,84,85,209],[1,4,9,
11,12,13,37,73,82,84,85,210],[1,4,5,9,10,11,18,34,35,37,40,43,49,71,86,91,131,
132,134,211],[1,2,4,6,8,10,12,17,30,34,36,38,41,42,52,72,87,92,135,136,137,
212],[1,4,5,8,9,18,35,36,37,39,70,86,105,130,133,213],[1,5,7,8,9,27,35,39,44,
45,70,113,129,133,214],[1,7,8,9,26,44,45,70,129,215],[1,2,4,6,8,9,17,30,31,36,
37,38,46,70,87,109,128,130,138,216],[1,4,8,9,16,36,37,70,89,98,130,217],[1,2,
6,7,8,9,28,30,31,38,44,45,46,70,108,112,128,129,138,218],[1,4,6,8,9,19,36,37,
38,46,70,88,103,130,138,219],[1,3,5,9,10,11,20,32,35,39,40,48,51,71,90,96,132,
142,144,220],[1,5,7,9,10,11,27,35,39,40,43,45,47,53,71,113,115,132,147,148,
221],[1,2,3,8,10,12,14,30,31,33,42,48,50,72,81,101,136,141,145,222],[1,3,5,9,
10,11,20,32,35,39,43,48,49,71,90,99,131,142,148,223],[1,4,5,9,10,11,18,34,37,
39,40,43,51,71,91,105,134,144,148,224],[1,5,7,9,10,11,27,35,39,40,43,45,47,49,
51,53,71,113,115,116,131,144,147,225],[1,2,6,7,8,10,12,28,31,38,41,42,44,47,
50,52,54,72,112,114,117,137,141,143,226],[1,3,4,7,9,10,11,22,32,34,37,45,47,
48,53,71,97,100,134,142,147,227],[1,2,4,6,8,10,12,17,31,34,36,41,42,46,50,72,
92,109,135,141,146,228],[1,3,6,8,10,12,23,33,38,41,46,48,52,72,95,104,137,145,
146,229],[1,2,6,7,8,10,12,28,30,41,42,44,46,47,54,72,108,114,136,143,146,
230],[1,3,4,7,8,10,12,22,33,34,36,44,47,48,54,72,94,100,135,143,145,231],[1,5,
7,9,11,12,27,35,39,45,49,51,53,54,73,113,116,140,149,150,232],[1,2,6,7,8,11,
12,28,30,44,46,50,52,53,54,74,108,117,139,151,152,233],[1,2,3,4,6,7,14,17,22,
23,28,29,63,75,76,77,78,79,153,155,156,157,159,234],[1,3,4,7,16,22,29,60,75,
78,79,154,157,235],[1,3,4,7,22,26,29,62,75,78,79,157,158,236],[1,8,9,29,70,
118,119,237],[1,2,3,4,6,7,8,13,14,17,19,21,22,23,24,25,28,30,31,33,36,38,44,
46,55,56,63,64,68,81,83,87,88,94,95,103,106,107,108,109,111,112,120,160,161,
162,175,177,184,185,238],[1,3,4,5,7,10,13,16,18,20,21,22,27,43,48,56,57,59,60,
65,80,99,121,165,167,239],[1,2,3,4,6,7,10,13,14,17,19,21,22,23,24,25,28,42,48,
55,56,63,64,68,80,101,120,163,167,240],[1,3,4,7,10,13,15,21,22,26,48,56,61,62,
80,102,125,167,241],[1,3,4,5,7,9,13,16,18,20,21,22,27,32,35,37,39,45,56,57,59,
60,65,82,86,89,90,93,97,98,105,113,121,164,166,174,176,178,180,181,242],[1,2,
3,4,5,6,7,10,14,15,17,18,20,22,23,27,28,34,40,41,42,43,47,48,58,59,61,63,66,
91,92,96,99,100,101,102,104,110,114,115,124,170,171,172,173,179,182,183,243],[
1,7,8,9,10,11,12,44,45,47,53,54,70,71,72,73,74,129,143,147,150,151,186,244],[
1,4,8,9,10,11,12,34,36,37,70,71,72,73,74,130,134,135,186,245],[1,3,8,9,10,11,
12,32,33,48,70,71,72,73,74,127,142,145,186,246],[1,5,8,9,10,11,12,35,39,40,51,
70,71,72,73,74,132,133,140,144,186,247],[1,6,8,9,10,11,12,38,41,46,52,70,71,
72,73,74,137,138,146,152,186,248],[1,5,8,9,10,11,12,35,39,43,49,70,71,72,73,
74,131,133,148,149,186,249],[1,2,8,9,10,11,12,30,31,42,50,70,71,72,73,74,128,
136,139,141,186,250],[1,4,10,13,29,34,75,80,251],[1,4,9,16,29,37,75,89,119,
154,189,252],[1,2,4,6,8,17,29,30,36,38,75,76,77,87,118,153,187,188,190,253],[
1,2,3,8,14,29,30,31,33,76,78,81,118,156,187,192,195,254],[1,3,4,7,8,22,29,33,
36,44,75,78,79,94,118,157,190,195,196,255],[1,3,6,8,23,29,33,38,46,77,78,95,
118,155,188,191,195,256],[1,2,6,7,8,28,29,31,38,44,76,77,79,112,118,159,188,
192,196,257],[1,3,4,7,9,22,29,32,37,45,75,78,79,97,119,157,189,193,194,258],[
1,4,9,16,29,37,75,98,119,154,189,259],[1,2,4,6,8,17,29,31,36,46,75,76,77,109,
118,153,190,191,192,260],[1,2,6,7,8,28,29,30,44,46,76,77,79,108,118,159,187,
191,196,261],[1,3,4,7,8,9,13,21,22,32,33,36,37,44,45,56,70,82,83,93,94,97,107,
127,129,130,161,166,199,204,207,262],[1,2,4,6,8,10,12,13,17,19,30,36,38,42,55,
72,80,83,85,87,88,136,160,163,201,263],[1,2,3,5,8,9,14,15,20,30,31,32,33,35,
39,58,70,81,90,127,128,133,198,200,203,264],[1,4,5,9,10,11,13,16,18,35,37,43,
49,57,71,80,82,84,86,89,131,164,165,169,202,265],[1,2,4,6,8,9,13,17,19,30,31,
36,37,38,46,55,70,82,83,87,88,103,109,128,130,138,160,162,199,216,219,266],[1,
2,3,4,6,7,8,9,14,17,22,23,28,30,31,32,33,36,37,38,44,45,46,63,70,81,87,94,95,
97,108,109,112,127,128,129,130,138,184,198,207,208,216,218,267],[1,3,4,7,8,9,
16,22,32,33,36,37,44,45,60,70,89,94,97,98,127,129,130,180,207,217,268],[1,3,4,
7,8,9,22,26,32,33,36,37,44,45,62,70,94,97,127,129,130,207,215,269],[1,3,4,7,8,
9,15,22,32,33,36,37,44,45,61,70,94,97,127,129,130,203,207,270],[1,3,4,6,7,8,9,
19,22,23,24,25,32,33,36,37,38,44,45,46,64,70,88,94,95,97,103,106,111,127,129,
130,138,177,205,206,207,208,219,271],[1,3,4,5,7,8,9,18,20,22,27,32,33,35,36,
37,39,44,45,59,70,86,90,94,97,105,113,127,129,130,133,178,200,207,213,214,
272],[1,2,4,6,8,11,12,13,17,19,30,36,38,50,55,74,83,84,85,87,88,139,160,168,
209,273],[1,4,5,9,10,11,13,16,18,37,39,43,57,71,80,82,84,98,105,148,165,176,
202,274],[1,5,6,7,8,9,24,26,27,35,38,39,44,45,46,67,70,111,113,129,133,138,
206,214,215,275],[1,3,4,7,9,10,11,13,21,22,32,37,45,48,56,71,80,82,84,93,97,
142,166,167,202,276],[1,2,4,6,8,10,12,13,17,19,31,36,42,46,50,55,72,80,83,85,
103,109,141,162,163,168,201,277],[1,3,5,6,8,9,15,20,23,32,33,35,38,39,46,66,
70,90,95,127,133,138,200,203,208,278],[1,2,4,6,7,8,9,17,19,21,24,25,28,30,31,
36,37,38,44,45,46,68,70,87,88,93,103,106,107,108,109,111,112,128,129,130,138,
175,185,204,205,206,216,218,219,279],[1,4,5,7,8,9,16,18,21,35,36,37,39,44,45,
65,70,86,89,93,98,105,107,129,130,133,174,181,204,213,217,280],[1,4,5,8,9,13,
16,18,35,36,37,39,57,70,82,83,86,89,98,105,130,133,164,176,199,213,217,281],[
1,5,6,7,8,9,25,26,27,35,38,39,44,45,46,69,70,106,113,129,133,138,205,214,215,
282],[1,3,4,7,8,10,12,13,21,22,33,36,44,48,56,72,80,83,85,94,107,145,161,167,
201,283],[1,2,3,4,6,7,8,10,12,14,17,22,23,28,30,31,33,34,36,38,41,42,44,46,47,
48,50,52,54,63,72,81,87,92,94,95,100,101,104,108,109,112,114,117,135,136,137,
141,143,145,146,172,184,212,222,226,228,229,230,231,284],[1,3,4,5,7,9,10,11,
18,20,22,27,32,34,35,37,39,40,43,45,47,48,49,51,53,59,71,86,90,91,96,97,99,
100,105,113,115,116,131,132,134,142,144,147,148,170,178,211,220,221,223,224,
225,227,285],[1,4,5,9,11,12,13,16,18,37,39,49,57,73,82,84,85,98,105,149,169,
176,210,286],[1,2,3,4,6,7,14,16,17,22,23,26,28,29,60,62,63,75,76,77,78,79,123,
153,154,155,156,157,158,159,234,235,236,287],[1,7,8,9,29,44,45,70,79,118,119,
129,193,196,237,288],[1,4,8,9,29,36,37,70,75,118,119,130,189,190,237,289],[1,
3,8,9,29,32,33,70,78,118,119,127,194,195,237,290],[1,2,8,9,29,30,31,70,76,118,
119,128,187,192,237,291],[1,6,8,9,29,38,46,70,77,118,119,138,188,191,237,
292],[1,2,3,4,5,6,7,10,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,42,43,
48,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,80,99,101,102,120,121,122,123,
124,125,126,163,165,167,171,197,239,240,241,293],[1,4,8,9,10,11,12,13,36,37,
70,71,72,73,74,80,82,83,84,85,130,186,199,201,202,209,210,294],[1,3,5,8,9,10,
11,12,20,32,33,35,39,43,48,49,70,71,72,73,74,90,99,127,131,133,142,145,148,
149,186,200,223,246,249,295],[1,3,5,8,9,10,11,12,20,32,33,35,39,40,48,51,70,
71,72,73,74,90,96,127,132,133,140,142,144,145,186,200,220,246,247,296],[1,3,8,
9,10,11,12,15,32,33,48,70,71,72,73,74,110,127,142,145,186,203,246,297],[1,3,6,
8,9,10,11,12,23,32,33,38,41,46,48,52,70,71,72,73,74,95,104,127,137,138,142,
145,146,152,186,208,229,246,248,298],[1,3,4,7,8,9,10,11,12,22,32,33,34,36,37,
44,45,47,48,53,54,70,71,72,73,74,94,97,100,127,129,130,134,135,142,143,145,
147,150,151,186,207,227,231,244,245,246,299],[1,3,8,9,10,11,12,15,32,33,48,70,
71,72,73,74,102,127,142,145,186,203,246,300],[1,2,3,8,9,10,11,12,14,30,31,32,
33,42,48,50,70,71,72,73,74,81,101,127,128,136,139,141,142,145,186,198,222,246,
250,301],[1,4,5,8,9,10,11,12,18,34,35,36,37,39,40,43,49,51,70,71,72,73,74,86,
91,105,130,131,132,133,134,135,140,144,148,149,186,211,213,224,245,247,249,
302],[1,5,7,8,9,10,11,12,27,35,39,40,43,44,45,47,49,51,53,54,70,71,72,73,74,
113,115,116,129,131,132,133,140,143,144,147,148,149,150,151,186,214,221,225,
232,244,247,249,303],[1,2,4,6,8,9,10,11,12,17,30,31,34,36,37,38,41,42,46,50,
52,70,71,72,73,74,87,92,109,128,130,134,135,136,137,138,139,141,146,152,186,
212,216,228,245,248,250,304],[1,2,6,7,8,9,10,11,12,28,30,31,38,41,42,44,45,46,
47,50,52,53,54,70,71,72,73,74,108,112,114,117,128,129,136,137,138,139,141,143,
146,147,150,151,152,186,218,226,230,233,244,248,250,305],[1,2,4,6,10,13,17,19,
29,34,41,42,55,75,76,77,80,92,153,163,251,306],[1,4,5,10,13,16,18,29,34,40,43,
57,75,80,91,154,165,251,307],[1,3,4,7,10,13,21,22,29,34,47,48,56,75,78,79,80,
100,157,167,251,308],[1,2,3,4,6,7,8,14,17,22,23,28,29,30,31,33,36,38,44,46,63,
75,76,77,78,79,81,87,94,95,108,109,112,118,153,155,156,157,159,184,187,188,
190,191,192,195,196,234,253,254,255,256,257,260,261,309],[1,3,4,7,9,16,22,29,
32,37,45,60,75,78,79,89,97,98,119,154,157,180,189,193,194,235,252,258,259,
310],[1,2,3,4,6,7,8,9,13,14,17,19,21,22,23,24,25,28,30,31,32,33,36,37,38,44,
45,46,55,56,63,64,68,70,81,82,83,87,88,93,94,95,97,103,106,107,108,109,111,
112,120,127,128,129,130,138,160,161,162,166,175,177,184,185,198,199,204,205,
206,207,208,216,218,219,238,262,266,267,271,279,311],[1,2,3,4,5,6,7,8,9,14,15,
17,18,20,22,23,27,28,30,31,32,33,35,36,37,38,39,44,45,46,58,59,61,63,66,70,81,
86,87,90,94,95,97,105,108,109,112,113,124,127,128,129,130,133,138,178,184,198,
200,203,207,208,213,214,216,218,264,267,270,272,278,312],[1,3,4,5,7,8,9,13,16,
18,20,21,22,27,32,33,35,36,37,39,44,45,56,57,59,60,65,70,82,83,86,89,90,93,94,
97,98,105,107,113,121,127,129,130,133,161,164,166,174,176,178,180,181,199,200,
204,207,213,214,217,242,262,268,272,280,281,313],[1,3,4,7,8,9,13,15,21,22,26,
32,33,36,37,44,45,56,61,62,70,82,83,93,94,97,107,125,127,129,130,161,166,199,
203,204,207,215,262,269,270,314],[1,3,4,5,6,7,8,9,18,19,20,22,23,24,25,26,27,
32,33,35,36,37,38,39,44,45,46,59,62,64,67,69,70,86,88,90,94,95,97,103,105,106,
111,113,126,127,129,130,133,138,177,178,200,205,206,207,208,213,214,215,219,
269,271,272,275,282,315],[1,2,3,4,6,7,8,9,14,16,17,22,23,26,28,30,31,32,33,36,
37,38,44,45,46,60,62,63,70,81,87,89,94,95,97,98,108,109,112,123,127,128,129,
130,138,180,184,198,207,208,215,216,217,218,267,268,269,316],[1,3,4,6,7,8,9,
15,16,19,22,23,24,25,32,33,36,37,38,44,45,46,60,61,64,70,88,89,94,95,97,98,
103,106,111,122,127,129,130,138,177,180,203,205,206,207,208,217,219,268,270,
271,317],[1,2,3,4,6,7,8,10,12,13,14,17,19,21,22,23,24,25,28,30,31,33,36,38,42,
44,46,48,50,55,56,63,64,68,72,80,81,83,85,87,88,94,95,101,103,106,107,108,109,
111,112,120,136,141,145,160,161,162,163,167,168,175,177,184,185,201,222,238,
240,263,277,283,318],[1,3,4,5,7,9,10,11,13,16,18,20,21,22,27,32,35,37,39,43,
45,48,49,56,57,59,60,65,71,80,82,84,86,89,90,93,97,98,99,105,113,121,131,142,
148,164,165,166,167,169,174,176,178,180,181,202,223,239,242,265,274,276,319],[
1,4,9,10,11,13,29,34,37,71,75,80,82,84,119,134,189,202,251,320],[1,4,8,10,12,
13,29,34,36,72,75,80,83,85,118,135,190,201,251,321],[1,3,4,7,8,9,22,29,32,33,
36,37,44,45,70,75,78,79,94,97,118,119,127,129,130,157,189,190,193,194,195,196,
207,237,255,258,288,289,290,322],[1,2,3,8,9,14,29,30,31,32,33,70,76,78,81,118,
119,127,128,156,187,192,194,195,198,237,254,290,291,323],[1,3,6,8,9,23,29,32,
33,38,46,70,77,78,95,118,119,127,138,155,188,191,194,195,208,237,256,290,292,
324],[1,4,8,9,16,29,36,37,70,75,89,98,118,119,130,154,189,190,217,237,252,259,
289,325],[1,2,4,6,8,9,17,29,30,31,36,37,38,46,70,75,76,77,87,109,118,119,128,
130,138,153,187,188,189,190,191,192,216,237,253,260,289,291,292,326],[1,7,8,9,
26,29,44,45,70,79,118,119,129,158,193,196,215,237,288,327],[1,2,6,7,8,9,28,29,
30,31,38,44,45,46,70,76,77,79,108,112,118,119,128,129,138,159,187,188,191,192,
193,196,218,237,257,261,288,291,292,328],[1,3,4,7,8,9,10,11,12,13,21,22,32,33,
36,37,44,45,48,56,70,71,72,73,74,80,82,83,84,85,93,94,97,107,127,129,130,142,
145,161,166,167,186,199,201,202,204,207,209,210,246,262,276,283,294,329],[1,2,
3,5,8,9,10,11,12,14,15,20,30,31,32,33,35,39,40,42,48,50,51,58,70,71,72,73,74,
81,90,96,101,110,127,128,132,133,136,139,140,141,142,144,145,173,186,198,200,
203,220,222,246,247,250,264,296,297,301,330],[1,3,4,5,7,8,9,10,11,12,18,20,22,
27,32,33,34,35,36,37,39,40,43,44,45,47,48,49,51,53,54,59,70,71,72,73,74,86,90,
91,94,96,97,99,100,105,113,115,116,127,129,130,131,132,133,134,135,140,142,
143,144,145,147,148,149,150,151,170,178,186,200,207,211,213,214,220,221,223,
224,225,227,231,232,244,245,246,247,249,272,285,295,296,299,302,303,331],[1,2,
4,6,8,9,10,11,12,13,17,19,30,31,36,37,38,42,46,50,55,70,71,72,73,74,80,82,83,
84,85,87,88,103,109,128,130,136,138,139,141,160,162,163,168,186,199,201,202,
209,210,216,219,250,263,266,273,277,294,332],[1,3,5,6,8,9,10,11,12,15,20,23,
32,33,35,38,39,40,41,46,48,51,52,66,70,71,72,73,74,90,95,96,102,104,127,132,
133,137,138,140,142,144,145,146,152,179,186,200,203,208,220,229,246,247,248,
278,296,298,300,333],[1,2,3,5,8,9,10,11,12,14,15,20,30,31,32,33,35,39,42,43,
48,49,50,58,70,71,72,73,74,81,90,99,101,102,127,128,131,133,136,139,141,142,
145,148,149,171,186,198,200,203,222,223,246,249,250,264,295,300,301,334],[1,2,
3,4,6,7,8,9,10,11,12,14,17,22,23,28,30,31,32,33,34,36,37,38,41,42,44,45,46,47,
48,50,52,53,54,63,70,71,72,73,74,81,87,92,94,95,97,100,101,104,108,109,112,
114,117,127,128,129,130,134,135,136,137,138,139,141,142,143,145,146,147,150,
151,152,172,184,186,198,207,208,212,216,218,222,226,227,228,229,230,231,233,
244,245,246,248,250,267,284,298,299,301,304,305,335],[1,4,5,8,9,10,11,12,13,
16,18,35,36,37,39,43,49,57,70,71,72,73,74,80,82,83,84,85,86,89,98,105,130,131,
133,148,149,164,165,169,176,186,199,201,202,209,210,213,217,249,265,274,281,
286,294,336],[1,3,5,6,8,9,10,11,12,15,20,23,32,33,35,38,39,41,43,46,48,49,52,
66,70,71,72,73,74,90,95,99,104,110,127,131,133,137,138,142,145,146,148,149,
152,183,186,200,203,208,223,229,246,248,249,278,295,297,298,337],[1,3,4,7,8,9,
10,11,12,15,22,32,33,34,36,37,44,45,47,48,53,54,61,70,71,72,73,74,94,97,100,
102,110,127,129,130,134,135,142,143,145,147,150,151,182,186,203,207,227,231,
244,245,246,270,297,299,300,338],[1,3,4,5,7,10,13,16,18,20,21,22,27,29,34,40,
43,47,48,56,57,59,60,65,75,78,79,80,91,96,99,100,115,121,154,157,165,167,170,
235,239,251,307,308,339],[1,2,3,4,6,7,10,13,14,17,19,21,22,23,24,25,28,29,34,
41,42,47,48,55,56,63,64,68,75,76,77,78,79,80,92,100,101,104,114,120,153,155,
156,157,159,163,167,172,234,240,251,306,308,340],[1,3,4,7,10,13,15,21,22,26,
29,34,47,48,56,61,62,75,78,79,80,100,102,110,125,157,158,167,182,236,241,251,
308,341],[1,2,3,4,5,6,7,8,9,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
30,31,32,33,35,36,37,38,39,44,45,46,55,56,57,58,59,60,61,62,63,64,65,66,67,68,
69,70,81,82,83,86,87,88,89,90,93,94,95,97,98,103,105,106,107,108,109,111,112,
113,120,121,122,123,124,125,126,127,128,129,130,133,138,160,161,162,164,166,
174,175,176,177,178,180,181,184,185,197,198,199,200,203,204,205,206,207,208,
213,214,215,216,217,218,219,238,242,262,264,266,267,268,269,270,271,272,275,
278,279,280,281,282,311,312,313,314,315,316,317,342],[1,2,4,6,8,10,12,13,17,
19,29,30,34,36,38,41,42,52,55,72,75,76,77,80,83,85,87,88,92,118,135,136,137,
153,160,163,187,188,190,201,212,251,253,263,306,321,343],[1,4,5,9,10,11,13,16,
18,29,34,35,37,40,43,49,57,71,75,80,82,84,86,89,91,119,131,132,134,154,164,
165,169,189,202,211,251,252,265,307,320,344],[1,3,4,7,8,9,16,22,29,32,33,36,
37,44,45,60,70,75,78,79,89,94,97,98,118,119,127,129,130,154,157,180,189,190,
193,194,195,196,207,217,235,237,252,255,258,259,268,288,289,290,310,322,325,
345],[1,3,4,7,8,10,12,13,21,22,29,33,34,36,44,47,48,54,56,72,75,78,79,80,83,
85,94,100,107,118,135,143,145,157,161,167,190,195,196,201,231,251,255,283,308,
321,346],[1,4,5,9,10,11,13,16,18,29,34,37,39,40,43,51,57,71,75,80,82,84,91,98,
105,119,134,144,148,154,165,176,189,202,224,251,259,274,307,320,347],[1,3,4,7,
9,10,11,13,21,22,29,32,34,37,45,47,48,53,56,71,75,78,79,80,82,84,93,97,100,
119,134,142,147,157,166,167,189,193,194,202,227,251,258,276,308,320,348],[1,2,
4,6,8,10,12,13,17,19,29,31,34,36,41,42,46,50,55,72,75,76,77,80,83,85,92,103,
109,118,135,141,146,153,162,163,168,190,191,192,201,228,251,260,277,306,321,
349],[1,2,3,4,6,7,8,9,14,17,22,23,28,29,30,31,32,33,36,37,38,44,45,46,63,70,
75,76,77,78,79,81,87,94,95,97,108,109,112,118,119,127,128,129,130,138,153,155,
156,157,159,184,187,188,189,190,191,192,193,194,195,196,198,207,208,216,218,
234,237,253,254,255,256,257,258,260,261,267,288,289,290,291,292,309,322,323,
324,326,328,350],[1,3,4,7,8,9,22,26,29,32,33,36,37,44,45,62,70,75,78,79,94,97,
118,119,127,129,130,157,158,189,190,193,194,195,196,207,215,236,237,255,258,
269,288,289,290,322,327,351],[1,2,3,4,6,7,8,9,10,11,12,13,14,17,19,21,22,23,
24,25,28,30,31,32,33,36,37,38,42,44,45,46,48,50,55,56,63,64,68,70,71,72,73,74,
80,81,82,83,84,85,87,88,93,94,95,97,101,103,106,107,108,109,111,112,120,127,
128,129,130,136,138,139,141,142,145,160,161,162,163,166,167,168,175,177,184,
185,186,198,199,201,202,204,205,206,207,208,209,210,216,218,219,222,238,240,
246,250,262,263,266,267,271,273,276,277,279,283,294,301,311,318,329,332,352],[
1,3,4,5,7,8,9,10,11,12,13,16,18,20,21,22,27,32,33,35,36,37,39,43,44,45,48,49,
56,57,59,60,65,70,71,72,73,74,80,82,83,84,85,86,89,90,93,94,97,98,99,105,107,
113,121,127,129,130,131,133,142,145,148,149,161,164,165,166,167,169,174,176,
178,180,181,186,199,200,201,202,204,207,209,210,213,214,217,223,239,242,246,
249,262,265,268,272,274,276,280,281,283,286,294,295,313,319,329,336,353],[1,3,
4,7,8,9,10,11,12,13,15,21,22,26,32,33,36,37,44,45,48,56,61,62,70,71,72,73,74,
80,82,83,84,85,93,94,97,102,107,125,127,129,130,142,145,161,166,167,186,199,
201,202,203,204,207,209,210,215,241,246,262,269,270,276,283,294,300,314,329,
354],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,17,18,20,22,23,27,28,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,58,59,61,63,66,70,71,
72,73,74,81,86,87,90,91,92,94,95,96,97,99,100,101,102,104,105,108,109,110,112,
113,114,115,116,117,124,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,170,171,172,173,178,179,
182,183,184,186,198,200,203,207,208,211,212,213,214,216,218,220,221,222,223,
224,225,226,227,228,229,230,231,232,233,243,244,245,246,247,248,249,250,264,
267,270,272,278,284,285,295,296,297,298,299,300,301,302,303,304,305,312,330,
331,333,334,335,337,338,355],[1,2,3,4,5,6,7,10,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,28,29,34,40,41,42,43,47,48,55,56,57,58,59,60,61,62,63,64,65,66,
67,68,69,75,76,77,78,79,80,91,92,96,99,100,101,102,104,110,114,115,120,121,
122,123,124,125,126,153,154,155,156,157,158,159,163,165,167,170,171,172,173,
179,182,183,197,234,235,236,239,240,241,243,251,287,293,306,307,308,339,340,
341,356],[1,4,8,9,10,11,12,13,29,34,36,37,70,71,72,73,74,75,80,82,83,84,85,
118,119,130,134,135,186,189,190,199,201,202,209,210,237,245,251,289,294,320,
321,357],[1,2,3,4,6,7,8,9,14,16,17,22,23,26,28,29,30,31,32,33,36,37,38,44,45,
46,60,62,63,70,75,76,77,78,79,81,87,89,94,95,97,98,108,109,112,118,119,123,
127,128,129,130,138,153,154,155,156,157,158,159,180,184,187,188,189,190,191,
192,193,194,195,196,198,207,208,215,216,217,218,234,235,236,237,252,253,254,
255,256,257,258,259,260,261,267,268,269,287,288,289,290,291,292,309,310,316,
322,323,324,325,326,327,328,345,350,351,358],[1,2,3,4,6,7,8,10,12,13,14,17,19,
21,22,23,24,25,28,29,30,31,33,34,36,38,41,42,44,46,47,48,50,52,54,55,56,63,64,
68,72,75,76,77,78,79,80,81,83,85,87,88,92,94,95,100,101,103,104,106,107,108,
109,111,112,114,117,118,120,135,136,137,141,143,145,146,153,155,156,157,159,
160,161,162,163,167,168,172,175,177,184,185,187,188,190,191,192,195,196,201,
212,222,226,228,229,230,231,234,238,240,251,253,254,255,256,257,260,261,263,
277,283,284,306,308,309,318,321,340,343,346,349,359],[1,3,4,5,7,9,10,11,13,16,
18,20,21,22,27,29,32,34,35,37,39,40,43,45,47,48,49,51,53,56,57,59,60,65,71,75,
78,79,80,82,84,86,89,90,91,93,96,97,98,99,100,105,113,115,116,119,121,131,132,
134,142,144,147,148,154,157,164,165,166,167,169,170,174,176,178,180,181,189,
193,194,202,211,220,221,223,224,225,227,235,239,242,251,252,258,259,265,274,
276,285,307,308,310,319,320,339,344,347,348,360],[1,2,3,4,5,6,7,8,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,35,36,37,38,39,42,
43,44,45,46,48,49,50,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,80,81,82,83,84,85,86,87,88,89,90,93,94,95,97,98,99,101,102,103,105,106,107,
108,109,111,112,113,120,121,122,123,124,125,126,127,128,129,130,131,133,136,
138,139,141,142,145,148,149,160,161,162,163,164,165,166,167,168,169,171,174,
175,176,177,178,180,181,184,185,186,197,198,199,200,201,202,203,204,205,206,
207,208,209,210,213,214,215,216,217,218,219,222,223,238,239,240,241,242,246,
249,250,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,
279,280,281,282,283,286,293,294,295,300,301,311,312,313,314,315,316,317,318,
319,329,332,334,336,342,352,353,354,361],[1,3,4,7,8,9,10,11,12,13,21,22,29,32,
33,34,36,37,44,45,47,48,53,54,56,70,71,72,73,74,75,78,79,80,82,83,84,85,93,94,
97,100,107,118,119,127,129,130,134,135,142,143,145,147,150,151,157,161,166,
167,186,189,190,193,194,195,196,199,201,202,204,207,209,210,227,231,237,244,
245,246,251,255,258,262,276,283,288,289,290,294,299,308,320,321,322,329,346,
348,357,362],[1,2,4,6,8,9,10,11,12,13,17,19,29,30,31,34,36,37,38,41,42,46,50,
52,55,70,71,72,73,74,75,76,77,80,82,83,84,85,87,88,92,103,109,118,119,128,130,
134,135,136,137,138,139,141,146,152,153,160,162,163,168,186,187,188,189,190,
191,192,199,201,202,209,210,212,216,219,228,237,245,248,250,251,253,260,263,
266,273,277,289,291,292,294,304,306,320,321,326,332,343,349,357,363],[1,4,5,8,
9,10,11,12,13,16,18,29,34,35,36,37,39,40,43,49,51,57,70,71,72,73,74,75,80,82,
83,84,85,86,89,91,98,105,118,119,130,131,132,133,134,135,140,144,148,149,154,
164,165,169,176,186,189,190,199,201,202,209,210,211,213,217,224,237,245,247,
249,251,252,259,265,274,281,286,289,294,302,307,320,321,325,336,344,347,357,
364],[1,3,4,5,7,8,9,10,11,12,13,16,18,20,21,22,27,29,32,33,34,35,36,37,39,40,
43,44,45,47,48,49,51,53,54,56,57,59,60,65,70,71,72,73,74,75,78,79,80,82,83,84,
85,86,89,90,91,93,94,96,97,98,99,100,105,107,113,115,116,118,119,121,127,129,
130,131,132,133,134,135,140,142,143,144,145,147,148,149,150,151,154,157,161,
164,165,166,167,169,170,174,176,178,180,181,186,189,190,193,194,195,196,199,
200,201,202,204,207,209,210,211,213,214,217,220,221,223,224,225,227,231,232,
235,237,239,242,244,245,246,247,249,251,252,255,258,259,262,265,268,272,274,
276,280,281,283,285,286,288,289,290,294,295,296,299,302,303,307,308,310,313,
319,320,321,322,325,329,331,336,339,344,345,346,347,348,353,357,360,362,364,
365],[1,3,4,7,8,9,10,11,12,13,15,21,22,26,29,32,33,34,36,37,44,45,47,48,53,54,
56,61,62,70,71,72,73,74,75,78,79,80,82,83,84,85,93,94,97,100,102,107,110,118,
119,125,127,129,130,134,135,142,143,145,147,150,151,157,158,161,166,167,182,
186,189,190,193,194,195,196,199,201,202,203,204,207,209,210,215,227,231,236,
237,241,244,245,246,251,255,258,262,269,270,276,283,288,289,290,294,297,299,
300,308,314,320,321,322,327,329,338,341,346,348,351,354,357,362,366],[1,2,3,4,
6,7,8,9,10,11,12,13,14,17,19,21,22,23,24,25,28,29,30,31,32,33,34,36,37,38,41,
42,44,45,46,47,48,50,52,53,54,55,56,63,64,68,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,87,88,92,93,94,95,97,100,101,103,104,106,107,108,109,111,112,
114,117,118,119,120,127,128,129,130,134,135,136,137,138,139,141,142,143,145,
146,147,150,151,152,153,155,156,157,159,160,161,162,163,166,167,168,172,175,
177,184,185,186,187,188,189,190,191,192,193,194,195,196,198,199,201,202,204,
205,206,207,208,209,210,212,216,218,219,222,226,227,228,229,230,231,233,234,
237,238,240,244,245,246,248,250,251,253,254,255,256,257,258,260,261,262,263,
266,267,271,273,276,277,279,283,284,288,289,290,291,292,294,298,299,301,304,
305,306,308,309,311,318,320,321,322,323,324,326,328,329,332,335,340,343,346,
348,349,350,352,357,359,362,363,367],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,
1],[1,2,1,1],[1,1,1],[1,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,
1],[1,1,1,1,1],[1,1,2,1],[1,2,1,1],[1,2,1,1],[1,1,1],[1,2,1,1],[1,1,1,1,1],[1,
1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,
1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,
3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[
1,3,1,1],[1,3,1,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,3,2,1,1,1,1],[1,2,1,
2,1,1,1,1],[1,1,1,4,1,2,2,1,2,1],[1,1,1,1,2,1,1],[1,1,1,1,2,1,1],[1,1,1,1,1,2,
1],[1,2,1,1,2,1,1,2,1,1,2,1],[1,1,1,4,1,2,1,2,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,
2,1,1,1,1],[1,2,2,1,1,1,1,1],[1,1,1,3,2,1,1,1,1,1,2,1],[1,2,2,1,1,1,1,1],[1,2,
2,1],[1,1,1,2,1],[1,1,1,2,1],[1,1,1,2,1],[1,1,2,1,1],[1,5,1,1],[1,1,1,1],[1,5,
1,1],[1,1,1,1],[1,5,1,1],[1,3,4,1,1],[1,4,3,1,3,1,1,1,1],[1,3,1,1,3,1],[1,3,1,
1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,6,1,3,2,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,6,
1,3,1,2,1],[1,1,1,3,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,3,3,1,3,
1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,1,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,2,1,
1,2,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,2,1,1],[1,1,3,3,1,3,1,
1,1,1],[1,2,1,1,1,2,1,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,2,1,1],[1,
1,2,1,1,1,2,1],[1,4,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,1,3,1,3,1,1,1,1],[1,
1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,
4,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,2,1,3,6,3,1,1,6,6,3,3,3,3,3,6,
2,1,3,3,6,1],[1,1,3,4,3,1,2,2,2,3,3,2,1,2,1,1,2,1],[1,1,1,4,1,2,2,2,1,2,1,1,1,
1,1,1],[1,2,1,1,2,1,1,2,2,1,1,2,2,1,1,1,1],[1,2,1,1,4,2,1,1,2,2,2,2,1,1,2,2,2,
1,1,1,2,1],[1,1,3,3,1,2,3,3,2,1,1,1,1],[1,1,1,4,4,1,2,2,2,1,2,1,1,2,2,1,1,1,2,
2,1],[1,9,2,2,6,6,1,1],[1,3,2,2,1,3,1,1],[1,9,2,2,6,6,1,1],[1,1,2,2,2,2,1,1],[
1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,1,3,1,
1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,2,2,1,3,
1,1],[1,3,1,2,1,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,1,1,1,2,1,1,2,1,1],[1,3,1,1,2,
1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,1,1,1,2,1,1,2,1,1],[1,3,1,1,2,1,3,1,1],[1,3,
1,1,2,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,3,1,1,1],[1,3,1,1,2,3,1,1,1],[
1,9,1,1,2,3,3,6,1,1],[1,9,1,2,1,3,6,3,1,1],[1,3,1,2,1,3,1,1,1],[1,1,5,5,5,1,1,
1,1,1],[1,5,5,1,1,1],[1,1,10,5,1,2,1,1],[1,2,1,1,1,2,1,1],[1,1,5,5,5,1,1,1,1,
1],[1,5,5,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,
3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,1,3,3,1,1,3,3,1,3,3,1,1,3,3,1],[1,1,3,3,4,1,3,
3,4,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,3,9,1,1,
9,9,1,3,3,3,1,3,3,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,
6,4,1,3,3,4,3,1,1],[1,1,3,8,3,1,6,4,3,6,1,2,2,1,1,3,2,1,1,1,2,1],[1,2,1,6,1,1,
3,3,2,2,1,3,1,1,1,1],[1,2,1,3,6,3,1,1,6,3,3,6,1,2,2,1,1,3,2,1,1,1,2,1],[1,2,1,
2,1,1,1,1,2,2,1,1,1,1,1,1],[1,1,6,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,3,1,5,6,1,3,1,
3,3,3,6,1,1,1,2,2,3,1,1,1,1,2,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,3,1,8,3,1,
4,3,6,3,3,1,1,2,1,2,3,1,1,2,1,1,1,1],[1,3,1,8,3,1,4,6,3,6,1,2,1,2,1,3,1,2,1,1,
2,1],[1,1,2,6,1,3,1,3,2,2,1,3,1,1,1,1],[1,3,1,3,1,4,3,1,1,1,3,1,1,1,1],[1,1,2,
6,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,3,3,1,4,3,1,1,1,3,1,1,1,1],[1,1,6,6,1,1,3,3,2,
2,1,3,1,1,1,1],[1,4,3,1,4,3,1,3,4,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,
1,7,6,1,1,3,3,3,3,6,1,1,2,2,1,3,1,1,1,1,1,2,1],[1,2,2,1,4,4,1,2,2,4,4,1],[1,3,
1,1,1,3,1,1],[1,15,1,1,5,3,1,1],[1,5,1,1,5,1,1,1],[1,5,1,1,5,1,1,1],[1,5,1,1,
5,1,1,1],[1,1,1,1,1,1,1,1],[1,15,1,1,5,3,1,1],[1,3,1,1,1,3,1,1],[1,3,1,1,1,3,
1,1],[1,15,1,1,5,3,1,1],[1,2,1,3,4,6,3,1,1,2,2,6,2,6,2,3,3,3,3,3,2,2,6,2,1,2,
2,1,1,1,1,3,3,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,3,
2,2,1,6,6,1,2,2,3,1],[1,9,6,2,2,9,6,6,2,6,1,6,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,
1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,1,18,2,2,9,2,2,12,12,1,
6,6,2,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,
9,1,9,2,2,9,6,6,2,2,6,6,1,6,6,1,1,1,1],[1,9,6,2,2,9,6,6,2,6,1,6,1,2,1],[1,3,1,
8,4,1,3,4,1,2,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,12,1,1,2,9,1,4,3,3,3,6,1,3,
3,1,1,1,1],[1,3,3,9,1,1,2,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,1,6,2,2,3,2,2,2,6,
1,1,3,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,3,1,3,2,
2,3,1,3,2,2,1,3,1,1,3,1,1,1,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,3,3,9,2,2,9,1,3,1,
6,6,3,1,3,3,1,1,1,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[1,3,4,1,1,2,3,1,1,1,4,
3,2,1,1,3,1,1,1,1],[1,6,9,1,1,2,9,1,3,3,1,3,3,6,1,3,3,1,1,1,1],[1,4,3,1,1,2,3,
1,1,1,4,3,2,1,1,3,1,1,1,1],[1,3,12,1,1,2,9,1,3,3,4,3,6,1,3,3,1,1,1,1],[1,3,4,
1,1,2,3,1,3,4,1,1,2,1,1,3,1,1,1,1],[1,10,9,1,1,2,9,3,1,1,3,3,3,6,2,6,1,3,3,6,
1,1,1,1],[1,1,9,9,1,1,2,9,1,3,3,1,3,3,2,6,6,1,3,3,6,1,1,1,1],[1,3,3,9,1,1,2,9,
1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,1,3,3,1,1,2,3,1,1,3,1,1,3,2,1,1,3,1,1,1,1],[1,
3,12,1,1,2,9,1,3,4,3,3,6,1,3,3,1,1,1,1],[1,3,3,9,1,1,2,9,1,1,3,3,3,3,6,1,3,3,
1,1,1,1],[1,3,3,9,1,1,2,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,6,9,1,1,2,9,1,3,3,1,
3,3,6,1,3,3,1,1,1,1],[1,3,3,9,1,2,1,9,1,3,3,3,1,6,3,1,3,3,1,1,1,1],[1,2,1,5,
10,5,1,10,5,5,10,1,5,1,2,2,1,1,2,1,1,1,2,1],[1,1,5,5,10,5,1,5,1,1,1,2,1,1],[1,
1,5,5,5,10,1,5,1,1,1,1,2,1],[1,2,2,1,1,2,2,1],[1,4,3,3,12,9,1,1,3,12,12,9,9,9,
9,9,18,1,1,1,3,3,3,3,4,3,9,9,18,1,1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,3,3,1],[
1,1,3,12,3,4,1,6,6,6,3,3,6,8,4,1,6,3,3,6,1,4,3,2,1,1],[1,2,1,3,6,3,4,1,1,6,6,
3,3,3,3,3,6,8,4,2,1,3,3,6,1,4,1,2,1,1],[1,1,3,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,
1],[1,3,3,8,9,1,1,4,4,6,9,9,6,1,2,3,2,3,3,4,3,3,6,1,1,1,2,3,3,1,1,2,3,1,1,1,1,
1,1,1,1],[1,2,1,3,8,6,3,1,1,4,6,6,4,3,3,6,6,1,2,2,2,2,1,1,4,3,3,3,6,2,2,1,1,1,
1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,27,2,2,1,4,4,18,18,9,36,36,1,2,2,4,4,3,6,6,
12,12,1,1],[1,3,2,2,1,4,4,1,6,6,1,2,2,4,4,3,2,2,1,1],[1,9,2,2,1,4,4,6,6,9,1,2,
2,4,4,1,6,6,1,1],[1,3,2,2,1,4,4,1,3,3,6,1,2,2,4,4,1,1,2,3,1,1],[1,9,2,2,1,4,4,
3,3,9,6,1,2,2,4,4,1,3,3,6,1,1],[1,9,2,2,1,4,4,3,9,3,6,1,2,2,4,4,1,3,3,6,1,1],[
1,3,2,2,1,4,4,1,3,3,6,1,2,2,4,4,1,1,2,3,1,1],[1,15,10,5,6,10,6,5,1],[1,5,1,15,
1,5,1,5,1,3,1,1],[1,3,5,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,
1,4,3,1,1,3,1,1,1,1],[1,3,5,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,3,20,1,15,
1,1,5,5,4,3,5,1,3,1,1,1,1],[1,1,15,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,3,
5,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,1,5,5,1,5,
1,1,5,5,1,1,1,5,1,1,1,1,1,1],[1,3,5,15,1,15,1,1,5,5,3,1,3,5,1,3,1,1,1,1],[1,9,
3,27,2,2,1,27,27,6,6,6,6,18,18,9,1,2,2,18,18,18,18,1,3,3,6,6,1,3,3,1],[1,3,3,
9,1,4,8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,6,9,6,2,2,9,9,9,2,6,6,6,2,
6,9,1,6,6,1,2,2,1,1,1,1],[1,3,18,1,4,8,1,9,9,6,3,12,24,9,4,1,1,2,3,3,4,3,3,6,
1,1],[1,3,3,9,2,2,1,9,9,1,3,6,6,3,9,3,1,2,2,3,3,9,9,1,3,3,1,3,1,3,3,1],[1,6,9,
1,6,9,2,2,9,6,9,9,18,2,6,6,6,2,2,2,6,6,6,9,1,6,2,6,6,6,6,6,6,1,2,1,1,2,6,1,1,
1,2,2,1],[1,9,1,9,2,2,6,9,6,6,2,2,6,6,9,1,2,6,6,6,1,1,1,6,1,2,1],[1,9,1,9,2,2,
9,18,6,6,2,2,6,6,9,1,6,6,1,1,1,1,2,1],[1,9,1,9,2,2,18,9,6,6,2,2,6,6,9,1,6,6,1,
1,1,2,1,1],[1,9,1,12,9,2,2,6,9,18,9,9,6,6,2,2,4,6,6,12,9,1,2,6,12,6,6,6,6,1,1,
1,4,6,1,1,1,2,2,1],[1,9,1,12,9,2,2,6,18,9,18,6,6,4,2,2,12,6,6,9,1,2,12,6,6,6,
12,1,1,1,4,6,2,1,2,2,1],[1,3,3,9,1,8,4,1,9,9,1,3,3,12,3,4,1,2,1,3,3,4,1,3,1,
1],[1,3,6,1,4,8,1,3,3,3,6,4,3,4,1,1,2,3,3,4,1,3,1,1],[1,6,6,9,2,2,9,9,9,2,2,6,
6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,1,
3,1,1],[1,1,3,3,1,4,8,1,3,3,1,3,4,3,8,1,4,1,1,2,3,3,4,1,1,2,1,1],[1,9,6,6,2,2,
9,9,9,6,6,2,2,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,3,1,9,18,2,2,3,3,9,9,9,18,1,3,2,2,
3,12,12,9,9,1,1,1,6,3,6,6,6,3,6,6,1,2,1,3,3,3,1,1,1,1,2,1,1],[1,1,6,18,2,2,3,
3,9,2,2,2,6,12,12,9,1,1,1,6,3,3,6,2,1,2,3,3,1,1,1,1],[1,3,6,2,2,1,3,3,2,6,6,6,
3,1,2,2,1,1,3,3,3,2,1,3,1,1,1,1],[1,6,6,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,2,2,
1,1,1,1],[1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,4,3,3,12,9,
1,1,2,3,12,9,9,18,1,1,1,1,3,3,4,4,3,3,3,3,2,6,6,9,1,1,3,4,3,3,3,3,3,3,3,3,6,6,
1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,3,3,16,9,1,1,2,12,12,9,18,1,1,4,3,4,4,4,
3,3,3,6,2,6,9,1,3,4,4,3,3,3,3,3,6,6,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,3,
6,1,4,8,1,3,3,3,6,4,3,4,1,1,2,3,3,4,1,3,1,1],[1,2,1,5,10,5,1,10,10,5,5,10,10,
1,5,5,5,1,2,2,1,1,5,2,2,1,1,1,2,2,1,1,1,1],[1,45,2,2,1,30,30,1,9,2,2,5,6,6,1,
1],[1,5,2,2,1,10,10,1,1,2,2,5,2,2,1,1],[1,9,2,2,1,6,6,1,9,2,2,1,6,6,1,1],[1,3,
2,2,1,1,3,1,3,2,2,1,1,3,1,1],[1,15,2,2,1,5,15,1,3,2,2,5,1,3,1,1],[1,2,1,3,12,
6,3,4,1,1,6,6,6,6,6,6,3,3,3,3,3,6,6,6,8,8,4,2,1,6,6,3,3,3,3,3,3,6,6,6,6,6,1,4,
4,4,1,3,3,3,3,3,3,2,2,1,4,3,1,1,1,1],[1,3,2,2,4,16,16,1,6,6,1,8,8,16,16,1,2,2,
4,4,3,4,1,2,2,4,4,1],[1,9,18,2,2,1,4,4,27,6,6,6,18,6,9,12,1,2,2,4,4,18,9,1,2,
6,6,6,6,12,1,3,6,1,2,1],[1,9,6,2,2,1,4,4,9,6,6,2,6,6,9,12,1,2,2,4,4,6,9,1,2,2,
4,6,6,6,1,1,6,1,2,1],[1,9,2,2,1,4,4,9,6,6,9,1,2,2,4,4,9,1,6,6,1,1,1,1],[1,9,
18,2,2,1,4,4,27,6,6,6,6,18,9,12,1,2,2,4,4,18,9,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,
9,3,27,2,2,1,4,4,27,6,6,1,6,6,18,18,9,9,36,36,1,2,2,4,4,18,18,9,1,3,3,2,2,6,6,
6,6,12,12,1,3,6,6,1,1,1,1],[1,9,2,2,1,4,4,27,6,6,9,1,2,2,4,4,9,1,6,6,1,3,1,
1],[1,6,9,2,2,1,4,4,9,2,6,6,6,6,9,12,1,2,2,4,4,6,9,1,2,2,4,6,6,6,1,1,6,1,2,
1],[1,3,12,2,2,1,4,4,9,1,4,6,6,12,3,3,6,6,1,2,2,4,4,3,3,9,3,1,1,4,2,2,2,3,3,6,
1,1,3,3,1,1,1,1],[1,12,27,2,2,1,4,4,27,4,12,3,3,18,18,9,6,6,36,36,1,2,2,4,4,
18,9,18,3,1,1,4,2,6,3,6,3,6,12,12,1,3,3,3,6,1,1,1,1],[1,3,3,9,2,2,1,4,4,9,1,3,
1,6,6,3,3,3,9,6,6,1,2,2,4,4,3,3,9,1,3,2,2,1,1,3,2,3,3,6,1,1,3,3,1,1,1,1],[1,3,
9,27,2,2,1,4,4,27,1,3,3,3,3,18,18,9,9,6,6,36,36,1,2,2,4,4,9,9,9,18,1,3,1,1,3,
2,3,6,3,6,12,12,6,1,3,3,3,6,1,1,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,
5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,15,15,10,
5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,4,3,5,20,15,1,3,20,15,15,30,1,1,1,
1,5,5,5,5,15,1,4,4,3,3,1,5,5,5,5,5,5,1,4,3,3,3,6,5,1,1,1,1,1,1,1,3,1,1,1,1,1,
1,1,1],[1,3,5,15,1,20,15,1,1,5,5,15,1,3,3,5,5,5,1,4,3,5,1,1,1,3,1,1,1,1],[1,6,
9,3,18,27,2,2,1,9,18,18,27,27,27,27,27,54,2,6,6,6,6,6,6,18,18,18,6,9,27,27,54,
1,6,2,2,6,6,18,18,18,18,18,18,18,18,18,18,18,9,1,2,3,3,6,2,6,6,6,18,18,18,18,
1,1,3,3,3,3,3,6,6,6,6,1,2,3,3,6,1],[1,6,9,1,12,6,9,2,2,9,18,6,6,18,9,9,18,18,
2,6,6,6,4,2,2,2,12,6,6,6,18,9,9,9,18,1,6,2,2,12,6,6,6,6,6,6,6,12,9,1,2,1,1,4,
2,6,6,1,2,2,1,1,2,2,2,2,2,1,1,1,2,1],[1,9,3,12,27,2,2,1,6,6,18,27,27,18,6,6,4,
6,6,12,18,18,9,6,9,9,18,1,2,2,2,2,12,18,18,18,6,6,18,12,9,1,3,3,4,6,2,6,6,6,6,
6,6,1,2,3,3,2,2,2,6,1,1,1,2,2,1],[1,9,3,27,2,2,1,18,27,27,18,6,6,6,6,18,18,9,
9,9,1,2,2,18,18,18,18,9,1,3,3,6,6,1,2,3,3,2,1,1,1,1],[1,9,1,12,12,9,2,2,6,6,
18,9,18,9,9,18,18,6,6,4,2,2,4,12,6,6,12,9,9,9,18,18,1,2,2,12,6,12,6,6,6,6,6,
12,9,1,1,1,4,4,6,6,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,6,9,1,6,9,2,2,9,6,6,9,9,
18,18,2,6,6,6,2,2,2,6,6,6,9,9,9,1,6,2,2,6,6,6,6,6,6,6,9,1,2,1,1,2,6,6,1,1,1,2,
2,2,2,1,1,1,1],[1,9,1,12,9,2,2,18,6,6,9,18,9,9,6,6,2,2,4,6,6,12,9,9,9,1,2,2,6,
12,6,6,6,6,6,9,1,1,1,4,6,6,2,1,1,1,2,2,2,1,1,1,1],[1,4,3,3,12,9,1,4,8,1,3,12,
12,9,9,9,9,9,18,1,1,1,3,3,16,3,3,12,8,4,3,9,9,18,4,1,1,1,2,3,3,3,3,12,3,3,3,3,
3,3,3,3,4,4,4,1,1,1,4,3,2,3,3,3,3,1,4,1,3,1,1,1,1],[1,3,3,24,9,1,4,8,1,12,12,
18,9,9,18,1,6,3,6,16,3,12,24,3,12,9,9,18,4,1,1,2,3,3,6,3,3,3,12,3,6,9,4,4,4,3,
4,1,3,6,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,15,1,10,20,5,6,10,15,10,6,5,5,10,6,10,6,
5,1,1],[1,15,1,10,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,9,5,45,2,2,45,1,6,
6,10,10,30,30,1,1,9,9,30,30,2,2,1,5,5,9,2,2,6,6,6,6,5,1,6,6,1,1,1,1],[1,6,9,2,
2,9,1,2,6,6,6,1,6,9,6,2,2,1,2,9,2,6,6,6,1,1,6,1,2,1],[1,9,30,2,2,45,1,6,6,10,
30,1,6,9,30,2,2,1,10,9,2,6,6,6,5,1,6,1,2,1],[1,5,2,2,15,1,10,10,1,1,5,15,2,2,
5,3,2,2,5,1,1,3,1,1],[1,3,5,15,2,2,15,1,1,3,10,10,5,15,1,1,3,3,5,15,2,2,1,5,5,
3,1,1,2,2,3,3,5,1,1,3,1,1,1,1],[1,45,2,2,45,1,30,30,1,9,2,2,5,9,6,6,5,1,1,1],[
1,3,15,45,2,2,45,1,1,3,5,30,30,15,1,3,3,9,15,15,2,2,1,5,5,9,1,1,3,3,6,6,5,1,3,
3,1,1,1,1],[1,9,3,27,2,2,4,16,16,1,27,27,6,6,6,6,18,18,36,9,1,8,8,16,16,1,2,2,
4,4,18,18,18,18,1,3,3,24,24,6,6,9,4,1,2,2,3,3,4,4,4,1,6,6,1,1],[1,6,9,6,2,2,1,
4,4,9,9,9,2,6,6,6,2,6,6,6,9,12,12,9,1,2,2,4,4,6,6,9,9,9,1,2,2,2,2,4,4,6,6,6,6,
9,1,1,1,1,6,6,1,2,2,1,1,1,1,1],[1,9,3,24,27,2,2,1,4,4,18,36,27,54,6,6,1,8,6,6,
24,6,6,18,18,9,9,12,12,36,36,27,1,2,2,4,4,6,24,6,18,9,18,9,9,18,36,18,36,1,3,
3,2,2,8,2,2,4,6,6,6,6,6,6,12,12,12,9,18,1,4,3,2,6,6,6,6,6,6,6,6,6,12,1,1,1,2,
2,3,6,1,1,1,2,2,1],[1,3,3,9,2,2,4,16,16,1,9,9,1,3,6,6,3,12,9,24,3,1,8,8,16,16,
1,2,2,4,4,3,3,9,9,1,3,4,3,8,12,1,3,3,6,4,1,2,2,4,4,3,3,4,1,1,2,3,1,1],[1,9,6,
18,2,2,1,4,4,27,9,27,6,6,2,6,6,6,6,18,9,12,12,27,1,2,2,4,4,6,18,9,9,9,1,2,2,2,
6,4,6,6,6,6,12,9,1,1,3,3,6,6,1,2,2,3,1,1,1,1],[1,6,9,18,2,2,1,4,4,9,27,27,2,6,
6,6,6,18,6,6,9,12,12,27,1,2,2,4,4,6,18,9,9,9,1,2,2,6,2,4,6,6,6,6,12,9,1,1,3,3,
6,6,1,2,2,3,1,1,1,1],[1,6,9,3,18,27,2,2,1,4,4,9,18,27,27,54,2,6,6,6,1,6,6,6,6,
6,18,18,18,9,9,12,12,36,36,27,1,2,2,4,4,6,6,6,18,18,18,9,9,9,18,18,18,18,36,1,
2,3,3,2,2,2,2,6,4,6,6,6,6,6,6,12,12,12,9,18,1,1,3,3,2,6,6,6,6,6,6,6,6,6,12,1,
1,1,2,2,3,6,1,1,1,2,2,1],[1,3,18,2,2,4,16,16,1,9,9,6,6,6,18,12,24,9,1,8,8,16,
16,1,2,2,4,4,3,3,9,9,3,4,6,12,24,3,3,6,9,4,1,2,2,4,4,3,3,4,1,3,3,6,1,1],[1,9,
18,18,2,2,1,4,4,9,27,27,6,6,6,6,18,6,6,18,9,12,12,27,1,2,2,4,4,18,18,9,9,9,1,
2,6,2,6,6,6,6,6,12,12,9,1,3,1,3,6,6,1,2,2,3,1,1,1,1],[1,9,3,27,2,2,1,4,4,36,
27,6,6,1,6,6,18,18,9,9,36,36,27,1,2,2,4,4,18,18,9,9,9,1,3,3,2,2,6,6,6,6,12,12,
9,1,4,3,6,6,1,1,1,3,1,1,1,1],[1,1,15,20,15,10,5,30,30,10,15,15,30,6,10,20,20,
10,10,5,30,15,15,30,6,6,6,5,20,10,10,10,20,15,12,6,10,5,10,6,5,1,2,1,1],[1,2,
1,15,30,15,10,5,1,30,30,15,15,15,15,15,30,6,10,20,20,10,10,10,5,15,15,30,6,12,
12,6,6,5,20,10,10,10,20,5,12,6,6,6,12,10,5,10,6,5,1,2,1,1],[1,1,15,15,10,5,10,
15,15,30,6,10,10,10,5,15,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,6,9,3,
12,18,27,2,2,1,9,18,6,18,6,18,18,27,27,27,27,27,18,18,54,2,6,6,6,4,6,6,6,12,
18,18,18,6,9,6,18,9,9,9,9,27,27,18,18,18,54,18,1,6,2,2,2,6,6,2,12,18,18,18,18,
6,18,6,18,18,18,18,18,18,12,9,9,9,9,9,9,9,1,2,3,3,4,6,2,6,6,2,6,6,18,6,18,6,6,
6,18,18,9,1,1,2,2,3,3,3,3,3,2,2,2,6,2,6,6,6,6,1,2,2,3,1,1,1,3,1,2,2,6,2,2,2,1,
1,1,1,1,1,1,1],[1,3,15,45,1,10,20,5,45,45,6,1,10,15,15,30,30,60,15,10,6,18,18,
5,5,10,15,15,30,6,10,10,10,18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,15,30,1,10,20,5,
45,45,6,10,10,15,30,30,60,45,10,6,5,5,10,15,15,30,6,10,10,10,18,15,15,30,6,5,
10,1,6,5,3,1,1],[1,9,5,45,2,2,30,45,1,6,6,10,10,30,30,45,1,1,9,9,10,30,30,30,
2,2,1,5,5,6,9,30,2,2,6,6,6,6,5,10,9,1,2,6,6,6,5,1,1,1,6,1,2,1],[1,3,15,45,1,
10,20,5,45,45,6,1,10,15,15,30,30,60,15,10,6,18,18,5,5,10,15,30,15,6,10,10,10,
18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,15,10,1,10,20,5,15,15,6,10,15,10,10,10,20,
15,10,6,5,5,10,10,15,15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,3,15,45,1,10,
20,5,45,45,6,1,10,15,15,30,30,60,15,10,6,18,18,5,5,10,15,15,30,6,10,10,10,18,
5,15,6,6,6,5,10,1,6,5,3,1,1],[1,1,15,15,1,10,20,5,15,15,6,1,10,15,10,10,15,20,
5,10,6,6,6,5,5,10,10,15,15,6,10,10,10,6,5,5,10,6,6,6,5,10,1,6,5,1,1,1],[1,6,9,
5,30,45,2,2,9,30,45,45,90,1,2,6,6,6,10,10,10,30,30,30,45,1,1,6,6,9,9,6,10,30,
30,30,30,30,30,2,2,1,2,5,5,10,6,9,9,9,18,30,2,2,2,2,6,6,6,6,6,6,1,5,5,10,10,9,
1,2,6,6,6,6,6,6,6,5,1,1,1,2,2,6,1,1,1,2,2,1],[1,9,5,45,2,2,45,90,1,6,6,10,10,
30,30,45,1,1,9,9,30,30,2,2,1,5,5,9,18,2,2,6,6,6,6,5,10,9,1,6,6,5,1,1,1,1,2,
1],[1,6,9,3,18,27,2,2,4,16,16,1,9,18,18,27,27,27,27,27,54,2,6,6,6,6,6,6,24,18,
18,18,36,48,6,9,27,27,54,1,8,8,16,16,1,6,2,2,4,4,6,6,18,18,18,18,36,18,18,18,
18,18,18,18,9,1,2,3,3,8,6,16,24,24,24,2,6,6,6,6,9,12,18,18,18,18,4,1,1,2,2,3,
3,3,3,3,4,4,6,6,6,24,6,9,4,8,1,2,2,3,3,4,6,6,6,6,1,4,1,6,1,2,1],[1,9,3,36,27,
2,2,4,16,16,1,18,18,54,27,27,54,6,6,12,6,6,36,24,18,18,36,48,9,18,27,27,54,1,
8,8,16,16,1,2,2,4,4,6,6,36,18,18,18,18,36,18,18,36,27,1,3,3,8,12,24,24,24,48,
6,6,6,6,9,12,18,18,18,18,18,4,1,6,2,2,3,3,4,4,6,6,6,24,9,18,4,8,1,2,3,3,6,6,6,
6,6,12,1,4,3,6,1,2,1],[1,9,3,27,2,2,4,16,16,1,54,27,27,54,6,6,6,6,18,18,36,9,
27,27,1,8,8,16,16,1,2,2,4,4,18,18,18,36,18,27,1,3,3,24,24,6,6,9,4,1,2,2,6,3,3,
4,4,6,9,4,1,3,3,6,6,1,4,3,1,1],[1,6,9,3,24,18,27,2,2,1,4,4,9,36,18,18,36,27,
27,54,54,2,6,6,6,1,8,6,6,6,24,6,6,6,6,18,18,18,9,9,12,12,12,12,36,36,36,27,27,
27,54,1,2,2,4,4,6,6,6,24,6,6,18,18,9,18,9,9,9,9,9,18,18,18,9,18,36,18,18,36,
36,27,1,2,3,3,2,2,8,2,2,2,2,6,4,4,6,6,6,6,6,6,6,6,12,12,12,12,9,9,9,9,18,9,9,
9,18,1,1,4,4,3,3,2,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,9,1,1,1,2,2,2,2,4,
3,3,3,6,6,6,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,2,1,15,20,30,15,10,5,
1,10,30,30,30,30,10,15,15,15,15,15,30,30,30,6,10,20,20,20,20,10,10,10,5,30,10,
15,15,15,15,15,15,30,30,30,30,30,6,12,12,6,6,5,20,20,10,10,10,10,10,10,10,20,
20,5,15,15,15,15,15,15,12,12,6,6,6,12,12,10,10,5,10,10,10,10,10,10,10,15,6,6,
6,5,5,5,10,1,6,5,2,2,1,1,1,1,1],[1,15,2,2,10,40,40,5,6,10,30,30,1,20,20,40,40,
6,5,10,10,20,20,12,12,15,20,20,10,12,12,5,10,10,20,20,6,10,1,6,5,2,2,1],[1,6,
9,5,30,45,2,2,9,30,30,45,45,90,90,1,2,6,6,6,10,10,10,30,30,30,45,45,45,1,1,6,
6,9,9,6,10,10,30,30,30,30,30,30,30,2,2,45,1,2,5,5,10,6,6,9,9,9,18,18,30,30,2,
2,2,2,6,6,6,6,6,6,1,5,5,10,10,10,10,9,9,9,1,2,2,6,6,6,6,6,6,6,6,5,5,5,9,1,1,1,
2,2,6,6,5,1,1,1,2,2,2,2,1,1,1,1],[1,4,3,15,60,45,1,10,20,5,3,60,60,45,45,45,
45,45,90,6,1,1,1,10,15,15,40,40,15,15,30,30,20,60,60,20,15,45,45,90,10,6,24,
24,18,18,5,1,5,10,15,15,40,15,15,30,30,15,30,15,15,15,15,15,15,60,60,6,15,10,
10,10,10,10,10,10,24,18,18,18,36,5,5,5,20,15,10,30,15,15,15,15,6,6,6,6,6,6,6,
5,10,10,10,10,10,10,10,18,5,15,1,6,6,6,6,6,6,6,5,5,5,10,4,3,6,5,1,3,1,1,1,1],[
1,3,15,40,45,1,10,20,5,60,60,30,45,45,90,6,1,10,10,15,10,40,40,15,30,30,60,20,
60,15,60,45,45,90,10,6,18,18,5,5,10,15,15,10,40,15,30,15,15,30,30,15,30,60,60,
6,45,10,10,10,10,10,10,10,24,18,15,20,5,15,30,30,15,15,15,15,15,6,6,6,5,10,10,
10,10,10,10,10,18,15,15,1,6,6,6,5,5,5,10,4,3,6,5,1,3,1,1,1,1],[1,6,9,3,36,18,
27,2,2,4,16,16,1,9,54,18,18,18,18,54,27,27,27,27,27,54,54,54,2,6,6,6,12,6,6,6,
36,24,24,18,18,18,36,48,48,6,9,18,54,27,27,27,27,27,27,54,54,54,54,54,1,8,8,
16,16,1,6,2,2,4,4,6,6,6,6,36,18,18,18,18,18,36,36,36,18,18,18,18,18,18,18,18,
36,9,27,27,27,27,27,27,1,2,3,3,8,12,8,6,16,24,24,24,24,48,2,6,6,6,6,6,6,9,12,
12,36,18,18,18,18,18,18,18,18,18,4,27,1,1,6,2,2,6,3,3,3,3,3,4,4,6,6,6,6,6,6,6,
24,24,6,9,9,9,18,4,8,8,1,2,6,2,2,3,3,3,3,3,3,4,6,6,6,6,6,6,6,6,6,6,12,9,1,4,4,
4,1,3,3,3,3,3,3,6,6,1,2,4,2,3,1,1,1,1],[1,9,15,135,2,2,10,40,40,5,135,135,6,6,
6,10,30,30,90,90,90,90,360,360,45,1,20,20,40,40,6,54,54,5,10,10,20,20,90,90,
90,90,90,12,12,1,15,15,20,20,60,60,60,60,120,120,54,30,30,45,10,12,12,36,36,
36,36,5,10,10,15,15,20,20,60,60,6,10,10,10,1,36,36,5,30,30,6,6,6,5,10,9,2,2,6,
5,6,6,1,1],[1,3,15,45,2,2,10,40,40,5,45,45,6,1,3,10,30,30,15,30,30,45,60,60,
15,1,20,20,40,40,6,18,18,5,10,10,20,20,15,15,30,45,45,12,12,1,15,20,20,10,10,
15,20,30,30,60,18,5,15,15,30,10,6,6,12,12,18,18,5,10,10,20,20,10,15,15,30,6,
10,10,10,1,6,18,5,5,10,15,6,6,6,5,10,3,2,2,6,5,1,3,1,1],[1,15,30,2,2,10,40,40,
5,45,45,6,10,10,30,30,30,30,30,60,60,45,1,20,20,40,40,6,5,10,10,20,20,15,15,
30,45,45,12,12,15,10,10,10,20,20,20,30,30,60,18,15,15,30,45,10,12,12,5,10,10,
20,20,10,15,15,30,6,10,10,10,1,6,18,5,15,15,30,6,5,10,3,2,2,6,5,1,3,1,1],[1,9,
15,60,135,2,2,10,40,40,5,90,90,90,135,135,270,6,6,6,10,20,30,30,60,60,60,90,
90,90,90,120,120,360,360,45,90,135,135,270,1,20,20,40,40,6,54,54,5,10,10,20,
20,30,30,60,60,90,90,90,90,90,90,90,90,90,180,180,360,12,12,135,1,15,15,20,20,
20,20,20,40,60,60,60,60,60,60,120,120,120,36,54,30,30,30,30,45,60,90,90,90,90,
90,90,10,12,12,36,36,36,36,5,10,10,10,15,15,20,20,20,30,30,30,60,60,60,60,60,
60,60,120,54,6,45,90,10,10,10,20,20,1,12,36,36,36,5,10,15,15,30,30,30,30,30,
60,60,6,6,6,5,10,10,10,20,20,6,9,36,15,30,2,2,6,12,5,10,10,9,2,6,6,6,6,5,1,6,
1,2,1],[1,9,15,135,2,2,10,40,40,5,90,135,135,270,6,6,6,10,30,30,90,90,90,90,
360,360,45,135,135,1,20,20,40,40,6,54,54,5,10,10,20,20,90,90,90,90,90,90,90,
12,12,135,1,15,15,20,20,60,60,60,60,120,120,54,108,30,30,45,90,10,12,12,36,36,
36,36,5,10,10,10,15,15,20,20,30,60,60,54,6,45,10,10,10,1,36,36,5,15,15,30,30,
6,6,6,5,10,10,10,9,15,2,2,6,12,5,10,9,6,6,6,5,1,1,1],[1,6,9,15,90,135,2,2,10,
40,40,5,9,90,90,135,135,135,135,135,270,6,2,6,6,6,10,30,30,30,60,60,90,90,90,
90,90,120,120,360,360,30,45,135,135,270,1,20,20,40,40,6,36,36,54,54,5,6,10,10,
20,20,30,30,60,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,360,12,12,45,1,2,
15,15,20,20,20,20,30,40,60,60,60,60,60,60,120,120,120,36,54,54,54,108,10,30,
30,30,30,45,60,90,90,90,90,90,10,12,12,12,12,36,36,36,36,36,36,1,5,10,10,15,
15,15,15,15,20,20,20,30,30,30,60,60,60,60,60,60,60,120,54,6,30,45,10,10,10,20,
20,1,12,36,36,36,36,36,36,36,5,10,10,15,15,20,30,30,30,30,60,6,6,6,12,12,5,10,
10,10,20,20,6,9,36,5,30,2,2,6,6,6,12,12,5,10,10,9,2,6,6,6,6,5,1,6,1,2,1],[1,6,
9,15,60,90,135,2,2,10,40,40,5,9,90,90,90,90,90,90,135,135,135,135,135,270,270,
270,6,2,6,6,6,10,20,30,30,30,60,60,60,60,60,90,90,90,90,90,120,120,120,120,
360,360,30,45,90,90,135,135,135,135,135,135,270,270,270,270,270,1,20,20,40,40,
6,36,36,54,54,5,6,10,10,20,20,30,30,30,30,60,60,60,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,180,180,180,360,360,12,12,45,135,135,135,135,
135,135,1,2,15,15,20,20,20,20,20,20,20,30,40,40,60,60,60,60,60,60,60,60,120,
120,120,120,36,36,54,54,54,108,108,10,30,30,30,30,30,30,45,60,60,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,10,12,12,12,12,36,36,36,36,36,36,135,1,5,
10,10,10,10,15,15,15,15,15,20,20,20,20,30,30,30,30,30,30,30,60,60,60,60,60,60,
60,60,60,60,60,60,120,120,54,54,54,6,30,45,45,45,90,90,10,10,10,20,20,20,20,1,
12,12,36,36,36,36,36,36,36,36,5,10,10,10,10,15,15,15,15,15,15,20,30,30,30,30,
30,30,30,30,30,30,60,60,60,54,6,6,6,12,12,45,5,10,10,10,10,10,10,10,20,20,20,
20,6,6,9,36,36,5,15,15,15,15,15,15,30,30,2,2,6,6,6,12,12,12,12,5,10,10,10,10,
10,10,10,10,10,9,9,9,15,2,2,6,6,6,6,6,6,6,5,5,5,10,9,1,6,6,6,5,1,2,2,1,1,1,
1]],
[1,2,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,10,10,
10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,15,15,16,16,16,16,16,16,16,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,
20,20,20,20,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,27,30,30,30,30,30,30,30,30,30,30,32,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,40,40,40,45,48,48,48,48,48,48,54,54,54,54,54,54,54,60,60,60,60,60,60,60,60,
60,60,60,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,80,90,90,90,90,90,96,108,108,108,108,108,108,108,108,108,108,108,108,
120,120,120,120,120,144,144,144,144,144,144,144,144,144,180,180,180,180,180,
180,180,180,180,216,216,216,216,216,216,216,216,216,216,240,240,240,288,360,
360,360,360,360,360,360,360,360,432,432,432,432,480,540,720,720,720,864,1080,
1080,1080,2160,2160,2160,4320],
[368,359,356,342,285,238,197,367,365,355,303,305,361,356,243,242,238,242,238,
243,197,197,197,197,197,126,126,120,358,367,359,360,359,355,331,311,313,311,
285,285,284,284,285,238,242,238,243,243,232,226,225,233,116,117,318,293,242,
243,197,197,197,197,197,197,121,124,126,120,126,368,331,335,303,305,358,309,
309,287,287,361,359,353,352,336,332,313,311,311,313,285,285,284,242,238,238,
243,242,242,243,243,243,243,238,243,242,238,238,238,238,243,238,238,178,172,
170,116,117,350,345,293,197,197,197,197,197,197,368,367,342,342,331,331,331,
331,335,335,335,311,305,303,284,285,284,285,284,284,285,285,232,232,233,233,
309,310,287,287,287,236,234,352,318,318,318,313,319,319,293,277,286,243,243,
243,243,242,238,242,238,242,243,242,242,243,243,238,238,355,350,350,345,350,
309,309,310,310,309,309,197,368,361,355,352,353,355,342,342,342,342,342,332,
336,331,335,313,315,315,311,313,311,311,285,285,284,285,285,285,284,285,284,
284,284,284,232,233,287,287,287,358,318,293,293,293,242,243,355,355,355,331,
335,331,335,368,345,350,309,309,309,309,310,310,309,309,361,352,355,353,352,
342,342,342,342,342,342,332,319,315,319,318,312,311,313,313,315,318,284,285,
286,287,358,358,358,350,350,293,361,355,355,355,355,355,355,355,331,331,335,
335,359,360,356,309,310,361,342,342,342,342,342,342,318,319,365,367,358,358,
358,345,350,351,350,361,355,355,352,355,355,355,353,355,355,356,356,356,342,
367,365,358,359,360,360,359,358,358,361,361,361,355,356,368,358,359,360,361,
368,367,365,368,368,368,368],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,1,9,8,10,9,1,1,8,
1,1,10,1,10,8,9,1,10,1,11,1,1,12,11,12,1,1,4,3,1,1,1,1,1,1,4,3,7,1,7,1,1,1,1,
1,29,1,29,1,29,13,8,1,1,13,13,9,8,8,9,9,10,10,9,8,8,1,9,1,10,10,1,10,1,10,1,8,
8,8,1,1,8,8,9,10,10,11,12,1,1,1,4,7,3,3,4,7,70,8,70,1,71,9,9,10,10,8,72,8,8,9,
1,9,72,1,8,10,71,10,11,73,74,12,29,29,29,1,29,29,29,8,8,1,13,37,80,9,13,13,84,
10,48,10,3,37,8,4,8,9,48,9,37,10,48,8,8,1,8,118,29,29,29,1,119,9,8,118,22,70,
1,70,13,13,70,70,70,70,70,70,13,13,71,72,9,70,70,8,9,70,8,9,71,8,71,10,71,72,
71,10,72,72,72,73,74,29,29,29,1,8,80,13,80,37,48,186,10,70,9,72,71,8,251,119,
118,8,118,118,118,119,29,29,118,70,83,127,202,8,70,70,70,70,70,70,83,80,129,
82,13,127,70,130,37,129,83,72,71,84,78,237,29,70,8,118,167,13,186,70,70,186,
186,186,70,71,186,72,186,251,251,251,118,119,70,127,130,130,129,127,129,83,
202,251,251,237,70,237,119,118,237,237,199,127,186,83,246,246,186,202,246,186,
251,251,251,207,321,320,237,321,251,320,251,237,237,199,294,294,246,308,251,
290,321,320,329,357,321,320,357,357,357,362],
[(  1, 24)(  2, 44)(  3, 82)(  4, 98)(  5, 25)(  6, 50)(  7, 55)(  8, 83)
(  9, 56)( 11,108)( 12, 67)( 13,115)( 14, 46)( 15, 59)( 18,116)( 19, 53)
( 20, 95)( 21, 86)( 22, 31)( 23, 70)( 26, 89)( 28,114)( 29, 36)( 30, 48)
( 32, 72)( 33,110)( 34, 90)( 37, 80)( 38, 62)( 39,103)( 40, 97)( 41, 85)
( 42,104)( 43, 84)( 45,113)( 47, 88)( 49, 58)( 51,101)( 52,106)( 54, 96)
( 57, 65)( 61,119)( 63, 91)( 64, 78)( 66,100)( 68, 87)( 69, 76)( 71,117)
( 73, 81)( 74,102)( 75, 92)( 77,111)( 79,118)( 93,112)( 94,107)( 99,109),
(  1,  3, 90,  2, 20,  4)(  5, 39,106, 22,119, 83)(  6,110, 28)
(  7,117, 41, 78, 65, 73)(  8, 98, 87, 95,112, 76)(  9, 53, 69, 11, 21, 89)
( 10, 18)( 12, 57, 36)( 13, 26, 31)( 14, 71, 88)( 15, 93, 66,115,118, 97)
( 16, 46, 99, 81, 38, 85)( 17, 91, 62, 67, 23, 75)( 19, 34, 84,114,103, 25)
( 24, 61, 86)( 27, 42,111)( 29,113, 96, 58, 55, 80)( 30, 77, 60,105,104, 48)
( 32, 47, 49)( 33, 79, 52)( 35, 54, 70, 37,109, 72)( 40, 50,101, 82,108, 59)
( 43, 51)( 44, 56,100)( 45, 64, 63,107, 94, 92)( 74,116,102)],
[[[[]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[4,1,3,1,2,1,3,1,5,1,4,-1,2,-1,3,-2,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,
-1,3,-1,2,1,1,1,3,-2,2,1]]],[[[2,-3]]],[[[1,1]]],[[[2,1,1,1,2,1,1,1]]],[[[2,
2],[1,1,2,2,1,1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
3,1,2,1,3,1,5,1,4,-1,2,-1,3,-2,5,-1],[1,1,2,1],[2,1,1,1],[2,2],[8,1,9,1,7,1,1,
1,2,-1,7,-2,8,1,9,1],[6,1,10,1]]],[[[2,2],[2,1,1,1,3,-1,2,-1,1,1],[3,1,4,1,3,
1,4,1]]],[[[2,-2]]],[[[2,1,1,1,2,2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,
4,-1,3,1,4,1,2,1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,
-2]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,
3,1]]],[[[2,2,1,1],[3,2,2,-1,1,1]]],[[[2,2,1,1,2,-3,1,1]]],[[[1,1,2,1],[3,1,2,
2,3,1,2,2,1,1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-1,
2,-1,3,-2,4,1]]],[[[1,1,2,1],[2,-3,1,1,3,-2,2,1]],[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,1,4,-1,2,-1]],[[1,1,2,1],[1,1,
2,-2,3,1,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,
3,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,1,2,1,3,1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,
1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,4,1,3,1,2,1,1,1]],[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,1,4,-2,3,-1,4,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,3,-1,4,1]],[[1,1,2,1],[3,1,1,1,
2,-2,3,-2]]],[[[1,1,2,1],[3,-2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,2,3,1,2,1,3,
1,2,1,1,1]]],[[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[3,1,2,1,3,
1,2,1,1,1,2,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,2,3,1,2,
1,3,1,2,1,1,1],[1,1,2,1],[1,1,5,-1,2,2,1,1,5,-1],[4,1,6,-2]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,5,1,4,-1,2,-1,3,-2,5,-1]],[[1,1,2,1],[2,1,
1,1],[2,2],[4,1,5,1,3,1,1,1,2,-1,3,-2,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,3,1,2,1,3,1,4,1,5,-1,2,-1,3,-2,4,-1]],[[2,2],[1,1,2,2,1,1],[4,1,3,-1,
4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,2,1,4,-1,3,1]],[[1,1,
2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,1,1,1,3,-2,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,4,-1,2,-1,4,-1,3,-2,2,2]],[[1,1,2,1],[3,-2,2,2,1,1,2,-1,3,-2,2,1,1,1,
2,-1]]],[[[2,2,1,1,2,-2,1,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,1,4,
1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,4,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,
-1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,
-2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,1],[3,-2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,-2,3,-1,4,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,
1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,1,4,-2,2,-1,3,-1]],[[1,1,2,1],[3,-2,2,1],[1,1,2,-1,4,-1,2,1,1,1,4,1]]],[[[2,
1,1,1],[2,2],[3,1,4,-1,2,-1,1,1,2,1,1,1,4,-1,3,-1]],[[1,1,2,1],[3,-2,2,1],[1,
1,2,-1,4,-1,2,1,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,-2,2,1,4,-1,3,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,3,-1,4,1]],[[1,1,2,1],[2,-1,3,
-2,2,1]]],[[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,4,1,3,-1,2,-2]],[[1,1,2,-3,1,1]]],[[[2,1,1,1,2,1]]],[[[2,1]]],[[[2,1,1,1],[
3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,4,-2,3,-1,4,1]],[[1,1,2,1],[3,-2,2,1,1,1,3,-1]]],[[[2,2,1,1,2,2,1,1]],[[2,
1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,-3,1,1,3,-2,2,1]],[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,-1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,-1,3,1,4,1,2,1,4,1,3,-1]],[[2,1,1,1],[2,2],[3,1,4,-1,2,-1,1,1,2,1,1,1,4,
-1,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1,3,1,4,-1,2,-1,3,-2,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,2,3,1,
2,1,1,1,2,-1]]],[[[2,2,1,1],[1,1,2,1,3,-2]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,2,1,3,1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,4,-1,2,-1,3,-2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,
4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,2,1,4,1]],[[1,1,2,1],[1,1,2,-2,
3,1,2,1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[
1,1,2,1],[3,-2,2,1],[1,1,2,-1,4,-1,2,1,1,1,4,1]]],[[[1,1,2,1],[3,-2,2,2,3,
1]],[[2,1,1,1,2,1],[3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
2]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,
-1,2,1,4,-1,3,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,
1,1,2,-1],[4,1,3,-2,4,1]],[[1,1,2,1],[3,-2,2,1,1,1,3,-1,2,-1]]],[[[2,1,1,1],[
3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,
-2]],[[1,1,2,-1,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[2,-3,1,1,3,-2,2,1]],[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,
-3,1,1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,2,1,1,2,-2,3,
1]],[[2,2],[1,1,2,2,1,1],[4,1,3,-1,4,1,3,-1]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,
1,4,1,2,-1,3,1,4,1,3,-2,2,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,
-2]]],[[[1,1,2,1],[2,1,1,1],[3,-2,2,1,4,-2,3,1,2,1,3,1]],[[1,1,2,-3],[2,1,1,1,
3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-2,3,-1,2,-1,3,-1]],[[
1,1,2,-3],[2,1,1,1,3,-2,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-2,3,
-1]],[[1,1,2,1],[3,-2,2,1,1,1,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,
1,1,1,3,-2,2,1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,1,1,2,-1,4,1]]],[[[1,1,2,1],[3,
1,2,2,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,-2,2,1,1,1,2,-1,3,-2]],[[2,-1,1,1,2,
1]]],[[[1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,2,
-1]],[[1,1,2,1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[4,1,3,-1,4,1,5,-1,3,1,
4,-2,5,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[
3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,
1,3,1,2,1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,2,1,4,1,
3,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1],[3,1,4,2,3,-1]]],[[[1,1,2,1],[3,-2,2,1,
1,1,2,-2,3,-1]],[[1,1,2,1],[1,1,3,-1,2,2,1,1,3,-1]]],[[[2,2],[3,1,1,1,2,2,1,1,
3,-1]],[[1,1,2,2,1,1]]],[[[2,2],[2,1,1,1,3,-1,1,1,2,1,3,1]],[[2,1,1,1,2,2,1,1,
2,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[2,-3]]],[[[1,1,2,1],[3,
-2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[1,1,3,-1,2,2,1,1,3,-1]]],[[[2,1,1,1],[1,1,
2,1,3,-1,2,-1,3,1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,2,
1,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,2,3,1,2,1,1,1,3,-2,2,1]]],[[[1,1,2,1],[1,1,
2,-1,3,-2,2,1,1,1,3,-1,2,-1,3,-1]],[[2,-3]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,
1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-2,3,1,2,1,1,1]]],[[[1,1,2,1],[3,
1,2,2,3,1,2,2,1,1]],[[1,1,2,1],[2,2,1,1,3,-2,2,2]],[[1,1,2,1],[2,1,3,1,2,1,1,
1,2,2,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,-2,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,
-1,3,-1]]],[[[1,1,2,1],[3,-2,2,1,1,1,2,2,3,1]],[[2,2],[3,1,1,1,2,2,1,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,-1]],[[2,1,1,1],[2,2,3,-1,
1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,1],[
3,1,1,1,2,-2,3,-2]]],[[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1]],[[2,2],[3,1,1,
1,2,-1,1,1,2,1,3,1]]],[[[1,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,
-2]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,3,-1,4,1]],[[
1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,
1,1,2,-1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,
1,2,1,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,3,-1,4,1,2,1,4,1,3,-1]],[[2,2],[3,1,1,1,2,2,1,1,3,1]]],[[[1,1,2,1],[3,-2,1,
1,2,-1,3,1,2,1,3,1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-1,3,1,4,-1]],[[2,1,1,1,2,1,1,1]]],[[[1,1,2,1],[1,1,3,-1,2,2,1,1,
3,-1]],[[2,1,1,1,2,-1,1,1,2,-2]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[2,
1,1,1,2,1,1,1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[1,1,3,-1,
2,2,1,1,3,-1]]],[[[1,1,2,-3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,4,
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1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,-2,3,-1,4,1]],[[2,1,1,1,2,-3,1,1,2,
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-1],[3,1,4,-1,3,1,4,-1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[
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1,1]],[[1,1,2,1],[2,1,3,1,2,2,3,1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
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1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-2]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,3,1,2,1,3,1,4,1,5,-1,2,-1,3,-2,4,-1]],[[2,2],[1,1,2,2,1,
1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,1,2,1,3,1,5,1,
4,-1,2,-1,3,-2,5,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-2,3,
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1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-2]],[[1,1,2,-3,1,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-2,3,-2,2,1,4,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-2,3,1,2,
1,1,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1]],[[2,1,1,1,2,-3,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-2],[
4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[1,1,3,-1,2,2,1,1,3,-1]],[[1,1,2,1],[2,-1,3,1,
2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-2,3,-1]],[[1,1,2,1],[2,2,
3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[3,-2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,-2,
1,1,2,-1,3,1,2,1,3,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[
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1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,-2,2,-3,3,1]]],[[[1,
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1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,-2,3,-1,2,2,
3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,1,4,-2,3,-1,4,1]],[[1,1,2,1],[2,-1,3,-2,2,1]],[[1,1,2,1],[2,2,1,1,
3,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[
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2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,4,1,3,-1]],[[1,
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4,-2,3,-1,4,1]],[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[2,-1,3,-2,2,1]]],[[[1,1,
2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1]],[[2,2],[3,1,1,1,2,2,1,1,3,-1]]],[[[1,
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1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,2,1,4,1]],[[2,1,1,1],[1,1,2,
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2,-1,3,1,2,1,1,1,2,-2,3,-1]],[[1,1,2,1],[3,-2,2,1,1,1,3,-1]],[[1,1,2,1],[1,1,
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1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,1,1,2,
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1,1,3,-1,2,1,1,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,
3,1]],[[1,1,2,1],[3,1,2,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,
1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,2,-1,3,-1]],[[1,1,2,1],[2,
1,1,1],[3,-1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,2,
-1]],[[1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,-2,3,-1,4,1,3,-1,2,-1]],[[1,1,2,
1],[2,2,1,1,3,-1,2,2,3,1]]],[[[1,1,2,1],[3,-2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[
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-2,3,-1]],[[2,1,1,1,2,-1,1,1,2,-2]],[[1,1,2,1],[3,1,1,1,2,-2,3,1,1,1]]],[[[1,
1,2,1],[3,1,2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[1,1,3,-1,2,2,1,1,3,-1]],[[1,1,2,
1],[3,-2,2,1,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,2,3,1,2,1,1,1,3,-1,2,-1,3,-1,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,2,-1,3,-2]]],[[[1,1,2,1],[1,1,2,-1,3,
1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,4,1,2,1,4,-1,3,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,1,3,1]]],[[[1,
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2,-1,3,-2,2,1]],[[2,1,1,1,2,-1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,
1,3,1,4,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,
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-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,1,2,1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[1,
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3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-2]]],[[[1,1,2,1],[3,1,1,
1,3,-1,2,-1,3,-1]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[3,-2,2,1,1,1,2,-1,3,-2]],[[
1,1,2,1],[2,-1,3,-2,2,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,1,1,1]]],[[[1,1,2,1],[1,
1,2,-2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,4,1,2,1,4,1,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,
1],[2,-3,1,1,3,-2,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,2,1,4,1]],[[
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1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
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1],[3,1,2,2,1,1,2,-1,3,1,2,1,1,1]],[[2,1,1,1,2,1],[3,2,2,1,1,1]]],[[[1,1,2,
1],[3,-2,2,1,1,1,2,-1,3,-2]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,
1,2,2]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,
1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,2,3,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,
1]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1,2,-1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,4,-2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,
-1,2,-2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,3,-2,2,1,1,1]]],[[[1,1,2,1],[3,1,
2,1,3,1,2,1,1,1,2,2]],[[1,1,2,1],[3,1,2,2,3,1,2,1,1,1,2,-1]]],[[[1,1,2,-2,1,1,
2,2,1,1]],[[1,1,2,1],[3,-2,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-2],[4,1,3,1,4,1,3,
1]],[[2,1,1,1],[2,2,3,-2,2,-1,1,1,3,1]]],[[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,2,3,
-1]],[[2,2,1,1,2,-2,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,2,1,4,1,3,
-1]],[[2,-1,1,1,2,1]]],[[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[3,
1,2,2,1,1,2,-1,3,1,2,1,1,1]],[[2,1,1,1,2,-1,1,1,2,-2]]],[[[1,1,2,1],[3,1,2,1,
1,1,3,-1,2,1,1,1]],[[1,1,2,1],[3,-2,2,2]]],[[[1,1,2,1],[3,1,2,1,1,1,3,-1,2,1,
1,1]],[[2,2],[3,1,1,1,2,1,3,1,1,1,2,-1]]],[[[2,2],[3,1,1,1,2,-1,1,1,2,1,3,
1]],[[1,1,2,1],[3,1,1,1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,3,1,2,2,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,
2,1],[1,1,2,-1,3,1,2,1,3,1,2,1,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,3,1,2,1,1,1,2,
2,3,1]],[[1,1,2,1],[2,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,
2,2]]],[[[1,1,2,1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,-2,2,1,1,1,
2,-2,3,-1]],[[1,1,2,1],[1,1,3,-1,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
1,3,-1,4,1,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,1,4,1,3,1]]],[[[1,1,2,1],[
3,1,2,1,1,1,2,-1,3,-1,2,2,1,1]],[[1,1,2,1],[2,-1,3,1,2,1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1,2,-1],[4,1,3,1,4,1,3,1]],[[1,1,2,2,1,1]]],[[[1,1,2,-1,1,1,2,2,1,1,
2,2]],[[2,2,1,1],[1,1,2,1,3,-2]]],[[[1,1,2,1],[1,1,3,-1,2,2,1,1,3,-1]],[[2,1,
1,1,2,-1,1,1,2,-2]],[[1,1,2,1],[2,-1,3,-2,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
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2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,1,2,1,4,-1,3,1]],[[1,1,
2,1],[3,-2,2,1,1,1,2,2,3,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[3,1,2,2,1,
1,2,-1,3,1,2,1,1,1]],[[1,1,2,1],[2,2,1,1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[1,
1,2,-1,3,1,2,1,1,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,
4,-1]],[[1,1,2,1],[2,1,1,1],[3,-1,2,1,4,-1,3,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,
3,-1,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,-1]],[[2,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,-1,2,2,1,1]],[[2,1,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[3,-2,1,1,2,-2,3,
1]],[[1,1,2,-3,1,1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[1,1,2,1],[3,-2,1,1,2,-1,3,
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LIBTOM( "(3xU4(2)):2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12],[1,
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3,5,21],[1,4,22],[1,4,23],[1,4,5,24],[1,3,4,5,25],[1,4,5,26],[1,2,5,27],[1,
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9,35],[1,2,7,36],[1,5,6,37],[1,2,10,38],[1,3,11,39],[1,2,11,40],[1,4,12,41],[
1,4,10,42],[1,2,11,43],[1,2,12,44],[1,4,10,45],[1,2,13,46],[1,3,12,47],[1,3,
10,48],[1,4,11,49],[1,5,12,50],[1,5,10,51],[1,5,11,52],[1,5,11,53],[1,5,10,
54],[1,5,9,55],[1,5,8,56],[1,5,13,57],[1,5,7,58],[1,5,11,59],[1,5,12,60],[1,5,
12,61],[1,5,13,62],[1,2,15,63],[1,2,4,14,17,64],[1,2,4,17,18,65],[1,2,4,14,16,
17,66],[1,2,4,15,17,67],[1,2,4,15,17,68],[1,2,3,4,16,19,20,69],[1,2,4,17,22,
70],[1,2,4,16,18,22,71],[1,3,4,5,18,19,25,72],[1,3,4,5,14,25,26,73],[1,3,4,5,
18,24,25,74],[1,4,14,18,22,75],[1,3,4,14,19,23,76],[1,2,4,5,16,23,24,77],[1,2,
4,17,23,78],[1,2,4,17,20,23,79],[1,2,3,4,5,17,19,21,24,25,80],[1,2,4,5,17,24,
26,27,81],[1,4,5,14,20,24,82],[1,4,5,14,23,24,83],[1,4,5,18,20,26,84],[1,2,3,
4,5,16,21,25,26,27,85],[1,3,4,5,19,22,26,86],[1,2,15,87],[1,3,4,5,22,23,25,
88],[1,4,5,18,23,26,89],[1,3,4,5,20,22,25,90],[1,2,5,15,27,91],[1,4,5,22,24,
26,92],[1,6,7,8,9,93],[1,10,12,94],[1,6,10,11,95],[1,8,12,96],[1,6,12,13,97],[
1,9,11,12,98],[1,7,11,12,99],[1,8,10,12,100],[1,8,13,101],[1,7,9,10,13,102],[
1,9,12,13,103],[1,10,11,13,104],[1,7,12,13,105],[1,8,9,11,13,106],[1,11,12,13,
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113],[1,5,28,114],[1,2,6,15,30,115],[1,4,10,14,116],[1,4,6,14,32,117],[1,3,4,
6,19,29,32,118],[1,2,4,6,16,30,32,119],[1,4,6,20,32,120],[1,2,4,6,17,30,32,
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125],[1,2,4,12,16,31,41,44,126],[1,4,5,6,24,32,37,127],[1,4,6,23,32,128],[1,4,
10,18,42,45,129],[1,2,4,10,16,38,45,130],[1,2,7,15,36,131],[1,4,10,22,45,
132],[1,2,8,15,33,133],[1,4,13,18,134],[1,2,9,15,35,135],[1,3,4,5,6,25,29,32,
37,136],[1,4,5,6,26,32,37,137],[1,2,5,6,27,30,37,138],[1,4,6,22,32,139],[1,2,
3,5,11,21,39,40,53,140],[1,2,3,5,11,21,39,43,52,141],[1,2,4,11,16,40,43,49,
142],[1,2,3,5,12,21,31,47,50,143],[1,2,3,5,10,21,34,38,51,144],[1,3,4,10,19,
34,42,48,145],[1,4,10,20,45,146],[1,4,5,10,26,45,51,147],[1,3,4,5,10,25,34,45,
54,148],[1,3,4,10,19,45,48,149],[1,3,4,5,11,25,39,49,59,150],[1,2,5,11,27,43,
53,59,151],[1,2,5,11,27,40,52,59,152],[1,2,5,8,27,33,56,153],[1,3,4,5,12,25,
41,47,61,154],[1,2,5,7,27,36,58,155],[1,4,5,11,26,49,52,53,156],[1,2,5,12,27,
31,60,61,157],[1,4,5,12,26,41,50,60,158],[1,2,5,12,27,44,50,61,159],[1,2,5,10,
27,38,51,54,160],[1,2,3,5,12,21,44,47,60,161],[1,2,5,9,27,35,55,162],[1,3,4,5,
10,25,42,48,54,163],[1,2,5,13,27,46,57,62,164],[1,6,28,165],[1,2,4,14,16,17,
64,66,166],[1,2,4,15,17,63,67,68,167],[1,2,4,14,15,17,18,64,65,67,68,168],[1,
2,4,14,17,22,64,70,169],[1,2,3,4,5,17,18,19,21,24,25,65,72,74,80,170],[1,2,4,
14,16,17,20,23,66,78,79,171],[1,2,4,14,16,17,18,22,65,66,70,71,75,172],[1,2,4,
14,15,16,17,22,66,67,70,173],[1,2,3,4,5,14,16,17,19,21,24,25,26,27,66,73,80,
81,85,174],[1,2,4,5,15,17,24,26,27,67,81,91,175],[1,2,4,17,18,23,65,78,176],[
1,2,4,15,17,20,23,67,79,177],[1,2,3,4,5,15,17,19,21,23,24,25,67,78,80,178],[1,
2,4,5,14,16,17,23,24,26,27,66,77,78,81,83,179],[1,2,3,4,5,17,19,21,22,24,25,
26,27,70,80,81,86,92,180],[1,2,4,17,20,22,23,70,78,79,181],[1,2,3,4,5,14,17,
19,21,23,24,25,64,76,78,80,83,182],[1,2,4,15,17,67,87,183],[1,2,4,5,17,22,23,
24,26,27,70,78,81,184],[1,2,3,4,5,17,19,20,21,22,23,24,25,70,79,80,88,90,
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81,82,83,188],[1,2,3,4,5,16,18,19,20,21,22,25,26,27,69,71,72,84,85,86,90,
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21,22,23,24,25,26,27,71,74,77,85,88,89,92,191],[1,2,4,5,15,17,27,68,87,91,
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87,91,194],[1,4,10,12,41,42,94,195],[1,3,6,10,11,29,34,39,95,196],[1,2,9,11,
12,31,43,98,197],[1,2,8,10,12,31,38,100,198],[1,2,7,11,12,31,40,99,199],[1,2,
10,12,31,44,94,200],[1,2,6,12,13,30,31,97,201],[1,2,6,7,8,9,30,33,35,36,93,
202],[1,2,7,12,13,31,36,105,203],[1,2,9,12,13,31,35,103,204],[1,2,11,12,13,31,
46,107,205],[1,2,8,12,31,33,96,206],[1,3,6,10,11,29,48,95,207],[1,5,6,12,13,
37,50,57,97,208],[1,5,8,10,12,50,51,56,100,209],[1,3,8,10,12,34,47,100,210],[
1,4,7,11,12,41,49,99,211],[1,5,7,11,12,50,53,58,99,212],[1,2,6,10,11,30,38,40,
43,95,213],[1,2,7,11,12,36,43,44,99,214],[1,3,6,12,13,29,47,97,215],[1,2,6,12,
13,30,44,46,97,216],[1,2,9,11,12,35,40,44,98,217],[1,5,6,10,11,37,51,52,53,95,
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41,97,221],[1,3,10,12,34,48,94,222],[1,4,6,10,11,32,42,95,223],[1,2,8,10,12,
33,38,44,100,224],[1,4,10,12,42,45,94,225],[1,4,8,10,12,41,45,100,226],[1,4,9,
11,12,41,49,98,227],[1,3,7,11,12,39,47,99,228],[1,5,6,10,11,37,54,59,95,229],[
1,4,6,10,11,32,45,49,95,230],[1,5,10,12,54,61,94,231],[1,3,10,12,47,48,94,
232],[1,2,7,8,11,13,33,36,40,46,108,233],[1,5,8,12,56,61,96,234],[1,3,10,11,
13,39,48,104,235],[1,5,7,8,11,13,52,56,57,58,108,236],[1,5,6,7,8,9,37,55,56,
58,93,237],[1,2,8,9,11,13,33,35,43,46,106,238],[1,2,7,9,10,13,35,36,38,46,102,
239],[1,5,8,9,11,13,53,55,56,57,106,240],[1,4,10,11,13,42,49,104,241],[1,5,7,
9,10,13,51,55,57,58,102,242],[1,5,8,10,12,51,60,100,243],[1,5,9,11,12,53,60,
98,244],[1,5,6,12,13,37,61,62,97,245],[1,5,10,12,50,60,94,246],[1,5,7,11,12,
52,60,99,247],[1,5,6,12,13,37,60,97,248],[1,5,8,10,12,54,56,61,100,249],[1,5,
9,11,12,55,59,61,98,250],[1,5,7,11,12,58,59,61,99,251],[1,5,8,13,56,62,101,
252],[1,5,8,56,111,253],[1,5,8,56,109,254],[1,5,8,56,110,255],[1,5,11,12,13,
59,61,62,107,256],[1,5,10,11,13,54,59,62,104,257],[1,5,7,9,10,13,54,55,58,62,
102,258],[1,5,7,12,13,58,60,105,259],[1,5,7,8,11,13,56,58,59,62,108,260],[1,5,
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96,263],[1,5,11,12,13,57,60,107,264],[1,5,9,12,13,55,60,103,265],[1,5,9,12,13,
55,61,62,103,266],[1,4,22,28,112,267],[1,3,4,5,25,28,112,113,114,268],[1,4,23,
28,112,269],[1,2,9,15,35,63,270],[1,2,8,15,33,63,271],[1,2,6,15,30,63,115,
272],[1,2,7,15,36,63,273],[1,2,4,6,14,17,30,32,64,117,121,274],[1,2,4,6,17,18,
30,32,65,121,122,275],[1,2,3,4,6,16,19,20,29,30,32,69,118,119,120,276],[1,2,4,
10,14,16,17,45,66,116,277],[1,2,4,6,14,16,17,30,32,66,117,119,121,278],[1,2,8,
15,33,63,133,279],[1,2,9,15,35,63,135,280],[1,2,13,15,46,63,281],[1,2,7,15,36,
63,131,282],[1,2,10,15,38,63,283],[1,2,12,15,44,63,284],[1,2,11,15,40,63,
285],[1,2,13,15,46,63,286],[1,2,11,15,43,63,287],[1,2,4,6,15,17,30,32,67,115,
121,288],[1,4,10,14,18,22,42,75,116,289],[1,3,4,5,6,18,24,25,29,32,37,74,122,
127,136,290],[1,3,4,5,6,14,25,26,29,32,37,73,117,136,137,291],[1,2,4,11,14,17,
40,64,125,292],[1,2,4,10,14,17,38,64,116,293],[1,4,12,14,18,22,41,75,123,
294],[1,2,4,11,14,16,17,49,66,125,295],[1,2,4,11,14,17,43,64,125,296],[1,2,4,
12,16,18,22,31,71,123,297],[1,2,4,12,17,18,44,65,123,298],[1,3,4,5,6,18,19,25,
29,32,37,72,118,122,136,299],[1,4,5,10,14,20,24,54,82,116,300],[1,3,4,10,14,
19,23,34,76,116,301],[1,2,4,6,17,20,23,30,32,79,120,121,128,302],[1,2,4,5,6,
16,23,24,30,32,37,77,119,127,128,303],[1,3,4,6,14,19,23,29,32,76,117,118,128,
304],[1,2,3,4,5,6,17,19,21,24,25,29,30,32,37,80,118,121,124,127,136,305],[1,2,
4,6,17,22,30,32,70,121,139,306],[1,4,5,6,14,20,24,32,37,82,117,120,127,307],[
1,2,4,6,15,17,30,32,68,115,121,308],[1,2,4,5,6,17,24,26,27,30,32,37,81,121,
127,137,138,309],[1,2,4,6,17,23,30,32,78,121,128,310],[1,2,4,13,17,18,46,65,
134,311],[1,2,4,10,16,18,22,38,42,45,71,129,130,132,312],[1,4,5,11,14,20,24,
59,82,125,313],[1,2,4,6,16,18,22,30,32,71,119,122,139,314],[1,4,5,6,18,20,26,
32,37,84,120,122,137,315],[1,3,4,5,10,14,25,26,48,73,116,316],[1,4,5,12,18,20,
26,61,84,123,317],[1,4,5,11,14,23,24,53,83,125,318],[1,2,3,4,5,6,16,21,25,26,
27,29,30,32,37,85,119,124,136,137,138,319],[1,4,5,6,14,23,24,32,37,83,117,127,
128,320],[1,4,5,6,18,23,26,32,37,89,122,128,137,321],[1,3,4,5,12,18,19,25,60,
72,123,322],[1,4,5,12,18,23,26,50,89,123,323],[1,3,4,5,6,22,23,25,29,32,37,88,
128,136,139,324],[1,3,4,11,14,19,23,39,76,125,325],[1,4,5,10,14,23,24,51,83,
116,326],[1,3,4,5,12,18,24,25,47,74,123,327],[1,4,5,11,14,23,24,52,83,125,
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330],[1,2,6,15,30,87,115,331],[1,4,5,6,22,24,26,32,37,92,127,137,139,332],[1,
3,4,5,6,19,22,26,29,32,37,86,118,137,139,333],[1,3,4,5,6,20,22,25,29,32,37,90,
120,136,139,334],[1,3,4,5,10,20,22,25,34,45,54,90,132,146,148,335],[1,2,9,15,
35,87,135,336],[1,2,3,4,10,16,19,20,38,45,48,69,130,146,149,337],[1,2,5,7,15,
27,36,58,91,131,155,338],[1,2,3,4,5,10,16,21,25,26,27,34,38,45,51,54,85,130,
144,147,148,160,339],[1,4,5,13,18,20,26,62,84,134,340],[1,4,5,13,18,23,26,57,
89,134,341],[1,2,5,9,15,27,35,55,91,135,162,342],[1,4,5,10,18,20,26,42,45,51,
84,129,146,147,343],[1,2,7,15,36,87,131,344],[1,2,8,15,33,87,133,345],[1,3,4,
5,10,19,22,26,45,48,51,86,132,147,149,346],[1,2,5,8,15,27,33,56,91,133,153,
347],[1,3,4,5,10,18,19,25,34,42,45,48,54,72,129,145,148,149,163,348],[1,2,3,4,
5,11,16,21,25,26,27,39,40,43,49,52,53,59,85,140,141,142,150,151,152,156,349],[
1,2,3,4,5,12,16,21,25,26,27,31,41,44,47,50,60,61,85,126,143,154,157,158,159,
161,350],[1,8,10,12,94,96,100,351],[1,8,12,96,352],[1,6,10,11,12,13,94,95,97,
104,107,353],[1,7,8,11,12,13,96,99,105,107,108,354],[1,6,7,8,9,12,13,93,96,97,
101,103,105,355],[1,8,9,11,12,13,96,98,103,106,107,356],[1,7,9,10,11,12,13,94,
98,99,102,103,104,105,357],[1,6,7,8,9,10,11,12,13,93,95,97,98,99,100,102,106,
108,358],[1,8,12,96,109,359],[1,8,12,96,111,360],[1,8,12,13,96,101,361],[1,8,
12,96,110,362],[1,7,8,9,10,11,12,13,100,101,102,103,104,105,106,107,108,363],[
1,6,7,8,9,93,109,110,111,364],[1,8,13,101,109,110,111,365],[1,3,6,28,29,113,
165,366],[1,4,6,28,32,112,165,367],[1,5,6,28,37,114,165,368],[1,2,4,14,15,17,
18,63,64,65,67,68,167,168,369],[1,2,4,14,15,16,17,18,22,64,65,66,67,68,70,71,
75,166,168,169,172,173,370],[1,2,4,14,15,17,18,22,64,65,67,68,70,168,169,
371],[1,2,3,4,5,14,16,17,19,20,21,23,24,25,26,27,64,66,69,73,76,77,78,79,80,
81,82,83,85,166,171,174,179,182,187,188,372],[1,2,4,14,15,17,18,64,65,67,68,
87,168,183,373],[1,2,4,5,14,15,17,18,20,23,24,26,27,64,65,67,68,79,81,82,83,
84,89,91,168,175,177,186,188,374],[1,2,3,4,5,14,15,17,18,19,21,23,24,25,64,65,
67,68,72,74,76,78,80,83,168,170,176,178,182,375],[1,2,4,14,15,17,18,23,64,65,
67,68,78,168,176,376],[1,2,3,4,5,14,15,16,17,19,21,22,23,24,25,26,27,66,67,70,
73,77,78,80,81,83,85,86,91,92,173,174,175,178,179,180,184,377],[1,2,3,4,5,14,
16,17,18,19,20,21,22,23,24,25,26,27,65,66,69,70,71,72,73,74,75,76,77,79,80,81,
82,84,85,86,88,89,90,92,170,172,174,180,185,186,187,189,190,191,193,378],[1,2,
3,4,5,14,17,19,20,21,22,23,24,25,26,27,64,70,76,78,79,80,81,82,83,86,88,90,92,
169,180,181,182,184,185,188,379],[1,2,4,15,17,20,23,63,67,68,79,87,167,177,
183,380],[1,2,3,4,5,14,15,16,17,19,20,21,22,23,24,25,66,67,69,70,76,77,78,79,
80,82,88,90,171,173,177,178,181,185,187,381],[1,2,4,5,15,17,24,26,27,63,67,68,
81,87,91,167,175,183,192,194,382],[1,2,4,5,14,16,17,18,20,22,23,24,26,27,65,
66,70,71,75,77,78,79,81,83,84,89,171,172,176,179,181,184,186,383],[1,2,4,10,
12,16,31,41,42,44,94,126,195,200,384],[1,4,6,10,11,14,32,95,116,117,125,385],[
1,4,10,12,18,41,42,45,94,129,195,225,386],[1,4,10,12,20,41,42,94,195,387],[1,
3,4,10,12,19,34,41,42,48,94,145,195,222,388],[1,4,10,12,22,41,42,94,195,389],[
1,4,6,12,13,18,32,97,122,123,134,390],[1,2,3,5,6,12,13,21,29,30,31,37,47,50,
57,97,124,143,201,208,215,391],[1,2,4,7,11,12,16,31,36,40,41,43,44,49,99,126,
142,199,211,214,392],[1,2,3,5,9,11,12,21,31,39,43,47,50,52,55,98,141,143,197,
219,220,393],[1,2,4,8,10,12,16,31,33,38,41,44,45,100,126,130,198,224,226,
394],[1,3,4,6,10,11,19,29,32,34,39,42,48,95,118,145,196,207,223,395],[1,2,4,6,
12,13,16,30,31,32,41,44,46,97,119,126,201,216,221,396],[1,2,3,5,7,11,12,21,31,
39,40,47,50,53,58,99,140,143,199,212,228,397],[1,2,3,5,6,10,11,21,29,30,34,37,
38,39,40,43,51,52,53,95,124,140,141,144,196,213,218,398],[1,2,4,9,11,12,16,31,
35,40,41,43,44,49,98,126,142,197,217,227,399],[1,2,3,5,8,10,12,21,31,34,38,47,
50,51,56,100,143,144,198,209,210,400],[1,3,4,5,6,10,11,25,29,32,34,37,39,45,
49,54,59,95,136,148,150,196,229,230,401],[1,2,6,7,8,9,15,30,33,35,36,93,115,
131,133,135,202,402],[1,3,4,6,10,11,19,29,32,45,48,49,95,118,149,207,230,
403],[1,4,6,10,11,22,32,45,49,95,132,139,230,404],[1,4,5,6,10,11,26,32,37,45,
49,51,52,53,95,137,147,156,218,230,405],[1,4,5,10,12,26,41,42,50,60,94,158,
195,246,406],[1,4,6,10,11,18,32,42,45,49,95,122,129,223,230,407],[1,2,4,6,10,
11,16,30,32,38,40,43,45,49,95,119,130,142,213,230,408],[1,3,4,5,10,12,25,41,
42,47,48,54,61,94,154,163,195,231,232,409],[1,4,6,10,11,20,32,45,49,95,120,
146,230,410],[1,3,4,5,7,11,12,25,39,41,47,49,58,59,61,99,150,154,211,228,251,
411],[1,3,4,10,12,19,34,42,45,47,48,94,145,149,222,225,232,412],[1,2,3,5,7,11,
12,21,36,39,43,44,47,52,60,99,141,161,214,228,247,413],[1,3,4,5,10,12,25,34,
42,45,48,54,61,94,148,163,222,225,231,414],[1,2,5,8,10,12,27,33,38,44,50,51,
54,56,61,100,153,159,160,209,224,249,415],[1,2,3,5,6,12,13,21,29,30,37,44,46,
47,60,97,124,161,215,216,248,416],[1,3,4,5,8,10,12,25,34,41,45,47,54,56,61,
100,148,154,210,226,249,417],[1,3,4,5,9,11,12,25,39,41,47,49,55,59,61,98,150,
154,220,227,250,418],[1,2,5,9,11,12,27,31,43,53,55,59,60,61,98,151,157,197,
244,250,419],[1,2,5,8,10,12,27,31,38,51,54,56,60,61,100,157,160,198,243,249,
420],[1,2,5,10,12,27,31,44,50,54,60,61,94,157,159,200,231,246,421],[1,2,5,9,
11,12,27,35,40,44,50,52,55,59,61,98,152,159,162,217,219,250,422],[1,2,3,5,8,
10,12,21,33,34,38,44,47,51,60,100,144,161,210,224,243,423],[1,3,4,5,6,10,11,
25,29,32,37,42,48,54,59,95,136,163,207,223,229,424],[1,4,5,6,12,13,26,32,37,
41,50,57,60,97,137,158,208,221,248,425],[1,4,5,8,10,12,26,41,45,50,51,56,60,
100,147,158,209,226,243,426],[1,2,5,7,11,12,27,36,43,44,50,53,58,59,61,99,151,
155,159,212,214,251,427],[1,2,5,6,10,11,27,30,37,38,40,43,51,52,53,54,59,95,
138,151,152,160,213,218,229,428],[1,2,5,7,11,12,27,31,40,52,58,59,60,61,99,
152,157,199,247,251,429],[1,2,3,5,9,11,12,21,35,39,40,44,47,53,60,98,140,161,
217,220,244,430],[1,3,4,5,6,12,13,25,29,32,37,41,47,61,62,97,136,154,215,221,
245,431],[1,2,3,5,10,12,21,31,44,47,48,50,60,94,143,161,200,232,246,432],[1,2,
5,6,7,8,9,27,30,33,35,36,37,55,56,58,93,138,153,155,162,202,237,433],[1,4,5,7,
11,12,26,41,49,50,52,53,58,60,99,156,158,211,212,247,434],[1,2,5,6,12,13,27,
30,37,44,46,50,57,61,62,97,138,159,164,208,216,245,435],[1,2,5,6,12,13,27,30,
31,37,60,61,62,97,138,157,201,245,248,436],[1,4,5,9,11,12,26,41,49,50,52,53,
55,60,98,156,158,219,227,244,437],[1,2,5,9,12,13,27,31,35,55,60,61,62,103,157,
162,204,265,266,438],[1,2,5,8,9,11,13,27,33,35,43,46,53,55,56,57,59,62,106,
151,153,162,164,238,240,261,439],[1,2,5,11,12,13,27,31,46,57,59,60,61,62,107,
157,164,205,256,264,440],[1,3,4,5,10,11,13,25,39,42,48,49,54,59,62,104,150,
163,235,241,257,441],[1,2,5,7,9,10,13,27,35,36,38,46,51,54,55,57,58,62,102,
155,160,162,164,239,242,258,442],[1,2,5,7,8,11,13,27,33,36,40,46,52,56,57,58,
59,62,108,152,153,155,164,233,236,260,443],[1,2,5,7,12,13,27,31,36,58,60,61,
62,105,155,157,203,259,262,444],[1,2,5,8,12,27,31,33,56,60,61,96,153,157,206,
234,263,445],[1,3,4,5,22,23,25,28,88,112,113,114,267,268,269,446],[1,2,4,6,14,
16,17,30,32,64,66,117,119,121,166,274,278,447],[1,2,3,4,5,6,17,18,19,21,24,25,
29,30,32,37,65,72,74,80,118,121,122,124,127,136,170,275,290,299,305,448],[1,2,
4,10,14,15,16,17,22,45,66,67,70,116,132,173,277,449],[1,2,4,6,15,17,30,32,63,
67,68,115,121,167,272,288,308,450],[1,2,4,10,14,16,17,38,45,64,66,116,130,166,
277,293,451],[1,2,4,7,15,17,36,63,67,68,131,167,273,452],[1,2,4,8,15,17,33,63,
67,68,133,167,271,453],[1,2,4,6,14,16,17,20,23,30,32,66,78,79,117,119,120,121,
128,171,278,302,310,454],[1,2,3,4,5,6,14,16,17,19,21,24,25,26,27,29,30,32,37,
66,73,80,81,85,117,118,119,121,124,127,136,137,138,174,278,291,305,309,319,
455],[1,2,4,9,15,17,35,63,67,68,135,167,270,456],[1,2,4,10,14,16,17,18,22,42,
45,65,66,70,71,75,116,129,172,277,289,457],[1,2,4,6,14,17,22,30,32,64,70,117,
121,139,169,274,306,458],[1,2,4,6,15,17,20,23,30,32,67,79,115,120,121,128,177,
288,302,459],[1,2,4,6,14,15,17,18,30,32,64,65,67,68,115,117,121,122,168,274,
275,288,308,460],[1,2,4,5,6,15,17,24,26,27,30,32,37,67,81,91,115,121,127,137,
138,175,288,309,329,461],[1,2,4,6,17,18,23,30,32,65,78,121,122,128,176,275,
310,462],[1,2,4,11,14,16,17,40,43,49,64,66,125,142,166,292,295,296,463],[1,2,
4,12,14,16,17,18,22,31,41,44,65,66,70,71,75,123,126,172,294,297,298,464],[1,2,
4,6,14,15,16,17,22,30,32,66,67,70,115,117,119,121,139,173,278,288,306,465],[1,
2,3,4,5,10,14,16,17,19,20,21,23,24,25,34,45,54,66,69,76,77,79,80,82,116,148,
187,277,300,301,466],[1,2,4,5,10,14,16,17,23,24,26,27,45,51,66,77,78,81,83,
116,147,179,277,326,467],[1,2,4,6,15,17,30,32,67,87,115,121,183,288,331,468],[
1,2,4,6,17,20,22,23,30,32,70,78,79,120,121,128,139,181,302,306,310,469],[1,2,
4,6,14,16,17,18,22,30,32,65,66,70,71,75,117,119,121,122,139,172,275,278,306,
314,330,470],[1,2,3,4,5,6,15,17,19,21,23,24,25,29,30,32,37,67,78,80,115,118,
121,124,127,128,136,178,288,305,310,471],[1,2,3,4,5,6,17,19,20,21,22,23,24,25,
29,30,32,37,70,79,80,88,90,118,120,121,124,127,128,136,139,185,302,305,306,
324,334,472],[1,2,3,4,5,6,14,17,19,21,23,24,25,29,30,32,37,64,76,78,80,83,117,
118,121,124,127,128,136,182,274,304,305,310,320,473],[1,2,3,4,5,6,17,19,21,22,
24,25,26,27,29,30,32,37,70,80,81,86,92,118,121,124,127,136,137,138,139,180,
305,306,309,332,333,474],[1,2,3,4,5,10,14,16,17,19,21,24,25,26,27,45,48,66,73,
80,81,85,116,149,174,277,316,475],[1,2,4,10,14,16,17,20,23,45,66,78,79,116,
146,171,277,476],[1,2,4,5,6,17,22,23,24,26,27,30,32,37,70,78,81,121,127,128,
137,138,139,184,306,309,310,477],[1,2,3,4,5,6,14,16,17,19,20,21,23,24,25,29,
30,32,37,66,69,76,77,79,80,82,117,118,119,120,121,124,127,128,136,187,276,278,
302,303,304,305,307,478],[1,2,4,5,6,14,17,20,23,24,26,27,30,32,37,64,79,81,82,
83,117,120,121,127,128,137,138,188,274,302,307,309,320,479],[1,2,4,5,6,17,18,
20,23,24,26,27,30,32,37,65,79,81,84,89,120,121,122,127,128,137,138,186,275,
302,309,315,321,480],[1,2,4,5,6,14,16,17,23,24,26,27,30,32,37,66,77,78,81,83,
117,119,121,127,128,137,138,179,278,303,309,310,320,481],[1,2,4,5,6,15,17,27,
30,32,37,68,87,91,115,121,138,192,308,329,331,482],[1,3,4,5,12,14,18,19,22,23,
25,26,41,50,60,72,73,75,76,86,88,89,123,158,190,294,322,323,483],[1,2,4,5,11,
14,17,20,23,24,26,27,43,53,59,64,79,81,82,83,125,151,188,296,313,318,484],[1,
2,4,5,10,14,17,20,23,24,26,27,38,51,54,64,79,81,82,83,116,160,188,293,300,326,
485],[1,2,3,4,5,11,14,17,19,21,23,24,25,39,40,53,64,76,78,80,83,125,140,182,
292,318,325,486],[1,2,4,5,11,14,16,17,23,24,26,27,49,52,53,66,77,78,81,83,125,
156,179,295,318,328,487],[1,3,4,5,10,14,18,20,22,24,25,26,42,48,54,73,74,75,
82,84,90,92,116,163,193,289,300,316,488],[1,2,3,4,5,11,14,16,17,19,20,21,23,
24,25,39,49,59,66,69,76,77,79,80,82,125,150,187,295,313,325,489],[1,3,4,5,6,
14,18,20,22,24,25,26,29,32,37,73,74,75,82,84,90,92,117,120,122,127,136,137,
139,193,290,291,307,315,330,332,334,490],[1,2,5,8,15,27,33,56,63,87,91,153,
194,271,491],[1,3,4,5,10,14,18,19,22,23,25,26,34,42,48,72,73,75,76,86,88,89,
116,145,190,289,301,316,492],[1,2,3,4,5,11,14,17,19,21,23,24,25,39,43,52,64,
76,78,80,83,125,141,182,296,325,328,493],[1,2,3,4,5,12,16,18,21,22,23,24,25,
26,27,31,47,50,71,74,77,85,88,89,92,123,143,191,297,323,327,494],[1,3,4,5,12,
14,18,20,22,24,25,26,41,47,61,73,74,75,82,84,90,92,123,154,193,294,317,327,
495],[1,2,3,4,5,12,17,18,19,21,24,25,44,47,60,65,72,74,80,123,161,170,298,322,
327,496],[1,2,4,5,11,14,17,20,23,24,26,27,40,52,59,64,79,81,82,83,125,152,188,
292,313,328,497],[1,2,3,4,5,6,16,18,19,20,21,22,25,26,27,29,30,32,37,69,71,72,
84,85,86,90,118,119,120,122,124,136,137,138,139,189,276,299,314,315,319,333,
334,498],[1,2,5,7,15,27,36,58,63,87,91,155,194,273,499],[1,2,3,4,5,12,16,18,
19,20,21,22,25,26,27,31,60,61,69,71,72,84,85,86,90,123,157,189,297,317,322,
500],[1,2,3,4,5,10,14,17,19,21,23,24,25,34,38,51,64,76,78,80,83,116,144,182,
293,301,326,501],[1,2,3,4,5,6,16,18,21,22,23,24,25,26,27,29,30,32,37,71,74,77,
85,88,89,92,119,122,124,127,128,136,137,138,139,191,290,303,314,319,321,324,
332,502],[1,3,4,5,6,14,18,19,22,23,25,26,29,32,37,72,73,75,76,86,88,89,117,
118,122,128,136,137,139,190,291,299,304,321,324,330,333,503],[1,2,4,5,12,17,
18,20,23,24,26,27,44,50,61,65,79,81,84,89,123,159,186,298,317,323,504],[1,2,5,
9,15,27,35,55,63,87,91,162,194,270,505],[1,2,5,6,15,27,30,37,63,87,91,115,138,
194,272,329,331,506],[1,2,4,5,13,17,18,20,23,24,26,27,46,57,62,65,79,81,84,89,
134,164,186,311,340,341,507],[1,2,3,4,5,10,16,18,19,20,21,22,25,26,27,34,38,
42,45,48,51,54,69,71,72,84,85,86,90,129,130,132,144,145,146,147,148,149,160,
163,189,312,335,337,339,343,346,348,508],[1,2,5,13,15,27,46,57,62,63,87,91,
164,194,281,509],[1,2,5,10,15,27,38,51,54,63,87,91,160,194,283,510],[1,2,5,9,
15,27,35,55,63,87,91,135,162,194,280,336,342,511],[1,2,5,11,15,27,40,52,59,63,
87,91,152,194,285,512],[1,2,5,8,15,27,33,56,63,87,91,133,153,194,279,345,347,
513],[1,2,5,12,15,27,44,50,61,63,87,91,159,194,284,514],[1,2,5,13,15,27,46,57,
62,63,87,91,164,194,286,515],[1,2,5,7,15,27,36,58,63,87,91,131,155,194,282,
338,344,516],[1,2,5,11,15,27,43,53,59,63,87,91,151,194,287,517],[1,2,8,12,31,
33,96,206,352,518],[1,4,6,10,11,12,13,32,41,42,94,95,97,104,107,195,221,223,
353,519],[1,5,8,10,12,54,56,61,94,96,100,231,234,249,351,520],[1,4,8,10,12,41,
42,45,94,96,100,195,225,226,351,521],[1,3,6,7,8,9,10,11,12,13,29,34,39,47,93,
95,97,98,99,100,102,106,108,196,210,215,220,228,358,522],[1,2,7,9,10,11,12,13,
31,36,43,44,94,98,99,102,103,104,105,197,200,203,214,357,523],[1,2,8,10,12,31,
33,38,44,94,96,100,198,200,206,224,351,524],[1,5,6,7,8,9,10,11,12,13,37,50,51,
52,53,55,56,57,58,93,95,97,98,99,100,102,106,108,208,209,212,218,219,236,237,
240,242,358,525],[1,3,6,10,11,12,13,29,34,39,48,94,95,97,104,107,196,207,222,
235,353,526],[1,2,6,7,8,9,10,11,12,13,30,31,38,40,43,93,95,97,98,99,100,102,
106,108,197,198,199,201,213,358,527],[1,2,6,10,11,12,13,30,31,44,46,94,95,97,
104,107,200,201,205,216,353,528],[1,2,7,9,10,11,12,13,31,35,40,44,94,98,99,
102,103,104,105,199,200,204,217,357,529],[1,4,7,9,10,11,12,13,41,42,49,94,98,
99,102,103,104,105,195,211,227,241,357,530],[1,3,8,10,12,34,47,48,94,96,100,
210,222,232,351,531],[1,3,6,10,11,12,13,29,47,48,94,95,97,104,107,207,215,232,
353,532],[1,5,6,10,11,12,13,37,54,59,61,62,94,95,97,104,107,229,231,245,256,
257,353,533],[1,2,8,9,11,12,13,31,33,35,43,46,96,98,103,106,107,197,204,205,
206,238,356,534],[1,5,7,8,11,12,13,56,58,59,61,62,96,99,105,107,108,234,251,
256,260,262,354,535],[1,2,7,8,9,10,11,12,13,31,35,36,38,46,100,101,102,103,
104,105,106,107,108,198,203,204,205,239,363,536],[1,5,8,9,11,12,13,55,56,59,
61,62,96,98,103,106,107,234,250,256,261,266,356,537],[1,2,7,8,11,12,13,31,33,
36,40,46,96,99,105,107,108,199,203,205,206,233,354,538],[1,5,6,7,8,9,12,13,37,
55,56,58,61,62,93,96,97,101,103,105,234,237,245,252,262,266,355,539],[1,2,6,7,
8,9,12,13,30,31,33,35,36,93,96,97,101,103,105,201,202,203,204,206,355,540],[1,
5,6,7,8,9,10,11,12,13,37,51,52,53,60,93,95,97,98,99,100,102,106,108,218,243,
244,247,248,358,541],[1,4,6,7,8,9,10,11,12,13,32,41,45,49,93,95,97,98,99,100,
102,106,108,211,221,226,227,230,358,542],[1,2,6,7,8,9,10,11,12,13,30,33,35,36,
38,40,43,44,46,93,95,97,98,99,100,102,106,108,202,213,214,216,217,224,233,238,
239,358,543],[1,5,7,9,10,11,12,13,50,52,55,60,94,98,99,102,103,104,105,219,
246,247,265,357,544],[1,5,6,7,8,9,10,11,12,13,37,54,55,56,58,59,61,62,93,95,
97,98,99,100,102,106,108,229,237,245,249,250,251,258,260,261,358,545],[1,4,6,
10,11,12,13,32,42,45,49,94,95,97,104,107,223,225,230,241,353,546],[1,5,6,10,
11,12,13,37,50,57,60,94,95,97,104,107,208,246,248,264,353,547],[1,5,8,10,12,
50,51,56,60,94,96,100,209,243,246,263,351,548],[1,3,7,9,10,11,12,13,39,47,48,
94,98,99,102,103,104,105,220,228,232,235,357,549],[1,5,7,9,10,11,12,13,54,55,
58,59,61,62,94,98,99,102,103,104,105,231,250,251,257,258,262,266,357,550],[1,
5,7,9,10,11,12,13,50,53,58,60,94,98,99,102,103,104,105,212,244,246,259,357,
551],[1,5,6,7,8,9,37,55,56,58,93,109,110,111,237,253,254,255,364,552],[1,5,8,
9,11,12,13,53,55,56,57,60,96,98,103,106,107,240,244,263,264,265,356,553],[1,5,
7,8,9,10,11,12,13,54,55,56,58,59,61,62,100,101,102,103,104,105,106,107,108,
249,252,256,257,258,260,261,262,266,363,554],[1,5,7,8,11,12,13,52,56,57,58,60,
96,99,105,107,108,236,247,259,263,264,354,555],[1,5,8,12,56,60,61,96,234,263,
352,556],[1,5,7,8,9,10,11,12,13,51,55,57,58,60,100,101,102,103,104,105,106,
107,108,242,243,259,264,265,363,557],[1,5,6,7,8,9,12,13,37,55,56,58,60,93,96,
97,101,103,105,237,248,259,263,265,355,558],[1,5,8,12,13,56,60,62,96,101,252,
263,361,559],[1,5,8,12,56,60,96,110,255,263,362,560],[1,5,8,12,56,60,96,109,
254,263,359,561],[1,5,8,12,56,60,96,111,253,263,360,562],[1,4,12,18,28,41,112,
123,563],[1,4,10,14,28,42,112,116,564],[1,3,4,5,6,25,28,29,32,37,112,113,114,
136,165,268,366,367,368,565],[1,4,6,23,28,32,112,128,165,269,367,566],[1,4,6,
22,28,32,112,139,165,267,367,567],[1,2,4,14,15,16,17,18,22,63,64,65,66,67,68,
70,71,75,166,167,168,169,172,173,369,370,371,568],[1,2,3,4,5,14,15,17,18,19,
21,23,24,25,63,64,65,67,68,72,74,76,78,80,83,167,168,170,176,178,182,369,375,
376,569],[1,2,4,5,14,15,17,18,20,22,23,24,26,27,64,65,67,68,70,78,79,81,82,83,
84,89,91,168,169,175,176,177,186,188,371,374,376,570],[1,2,4,14,15,16,17,18,
22,23,64,65,66,67,68,70,71,75,78,87,166,168,169,172,173,176,183,370,373,376,
571],[1,2,3,4,5,14,15,16,17,18,19,20,21,22,23,24,25,26,27,64,65,66,67,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,91,92,166,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,184,185,186,187,188,189,
190,191,193,370,372,374,375,377,378,379,381,383,572],[1,2,3,4,5,14,15,17,18,
19,21,22,23,24,25,64,65,67,68,70,72,74,76,78,80,83,87,168,169,170,176,178,182,
183,371,373,375,573],[1,2,4,5,14,15,17,18,20,23,24,26,27,63,64,65,67,68,79,81,
82,83,84,87,89,91,167,168,175,177,183,186,188,192,194,369,373,374,380,382,
574],[1,2,6,7,8,9,15,30,33,35,36,63,93,115,202,270,271,272,273,575],[1,2,4,6,
10,11,14,16,17,30,32,45,49,66,95,116,117,119,121,125,230,277,278,295,385,
576],[1,4,5,6,10,11,14,20,24,32,37,54,59,82,95,116,117,120,125,127,229,300,
307,313,385,577],[1,3,4,6,10,11,14,19,23,29,32,34,39,76,95,116,117,118,125,
128,196,301,304,325,385,578],[1,2,7,11,12,15,36,43,44,63,99,131,214,273,282,
284,287,579],[1,2,4,10,12,16,18,22,31,41,42,44,45,71,94,126,129,195,200,225,
384,386,389,580],[1,2,8,9,11,13,15,33,35,43,46,63,106,133,238,270,279,281,287,
581],[1,2,7,8,11,13,15,33,36,40,46,63,108,133,233,273,279,285,286,582],[1,2,7,
9,10,13,15,35,36,38,46,63,102,135,239,273,280,281,283,583],[1,2,3,4,10,12,16,
19,20,31,34,41,42,44,48,69,94,126,145,195,200,222,384,387,388,584],[1,2,8,9,
11,13,15,33,35,43,46,63,106,135,238,271,280,286,287,585],[1,2,6,7,8,9,15,30,
33,35,36,63,93,115,131,133,135,202,272,279,280,282,402,586],[1,2,9,11,12,15,
35,40,44,63,98,135,217,270,280,284,285,587],[1,2,7,9,10,13,15,35,36,38,46,63,
102,131,239,270,282,283,286,588],[1,2,6,12,13,15,30,44,46,63,97,115,216,272,
281,284,286,589],[1,2,8,10,12,15,33,38,44,63,100,133,224,271,279,283,284,
590],[1,2,6,10,11,15,30,38,40,43,63,95,115,213,272,283,285,287,591],[1,2,7,8,
11,13,15,33,36,40,46,63,108,131,233,271,281,282,285,592],[1,2,4,6,12,13,16,18,
22,30,31,32,71,97,119,122,123,134,139,201,297,314,390,593],[1,4,5,6,12,13,18,
20,26,32,37,61,62,84,97,120,122,123,134,137,245,315,317,340,390,594],[1,2,4,6,
12,13,17,18,30,32,44,46,65,97,121,122,123,134,216,275,298,311,390,595],[1,3,4,
5,6,12,13,18,19,25,29,32,37,60,72,97,118,122,123,134,136,248,299,322,390,
596],[1,4,5,6,12,13,18,23,26,32,37,50,57,89,97,122,123,128,134,137,208,321,
323,341,390,597],[1,3,4,5,6,12,13,18,24,25,29,32,37,47,74,97,122,123,127,134,
136,215,290,327,390,598],[1,3,4,5,6,10,11,14,25,26,29,32,37,48,73,95,116,117,
125,136,137,207,291,316,385,599],[1,4,5,6,10,11,14,23,24,32,37,51,52,53,83,95,
116,117,125,127,128,218,318,320,326,328,385,600],[1,4,6,12,13,14,18,22,32,41,
75,97,117,122,123,134,139,221,294,330,390,601],[1,2,4,6,10,11,14,17,30,32,38,
40,43,64,95,116,117,121,125,213,274,292,293,296,385,602],[1,4,6,10,11,14,18,
22,32,42,75,95,116,117,122,125,139,223,289,330,385,603],[1,3,4,5,6,10,11,19,
22,26,29,32,37,45,48,49,51,52,53,86,95,118,132,137,139,147,149,156,207,218,
230,333,346,403,404,405,604],[1,2,4,6,10,11,16,18,22,30,32,38,40,42,43,45,49,
71,95,119,122,129,130,132,139,142,213,223,230,312,314,404,407,408,605],[1,3,4,
5,6,10,11,18,19,25,29,32,34,37,39,42,45,48,49,54,59,72,95,118,122,129,136,145,
148,149,150,163,196,207,223,229,230,299,348,395,401,403,407,424,606],[1,2,3,4,
5,6,10,11,16,21,25,26,27,29,30,32,34,37,38,39,40,43,45,49,51,52,53,54,59,85,
95,119,124,130,136,137,138,140,141,142,144,147,148,150,151,152,156,160,196,
213,218,229,230,319,339,349,398,401,405,408,428,607],[1,2,3,4,6,10,11,16,19,
20,29,30,32,38,40,43,45,48,49,69,95,118,119,120,130,142,146,149,207,213,230,
276,337,403,408,410,608],[1,3,4,5,10,12,20,22,25,41,42,47,48,54,61,90,94,154,
163,195,231,232,387,389,409,609],[1,3,4,5,10,12,19,22,26,34,41,42,48,50,60,86,
94,145,158,195,222,246,388,389,406,610],[1,4,5,6,10,11,18,20,26,32,37,42,45,
49,51,52,53,84,95,120,122,129,137,146,147,156,218,223,230,315,343,405,407,410,
611],[1,2,5,6,7,8,9,15,27,30,33,35,36,37,55,56,58,91,93,115,131,133,135,138,
153,155,162,202,237,329,338,342,347,402,433,612],[1,4,5,10,12,18,20,26,41,42,
45,50,60,84,94,129,158,195,225,246,386,387,406,613],[1,3,4,5,10,12,18,19,25,
34,41,42,45,47,48,54,61,72,94,129,145,148,149,154,163,195,222,225,231,232,348,
386,388,409,412,414,614],[1,3,4,5,6,10,11,20,22,25,29,32,34,37,39,45,49,54,59,
90,95,120,132,136,139,146,148,150,196,229,230,334,335,401,404,410,615],[1,2,3,
4,5,10,12,16,21,25,26,27,31,41,42,44,47,48,50,54,60,61,85,94,126,143,154,157,
158,159,161,163,195,200,231,232,246,350,384,406,409,421,432,616],[1,2,6,7,8,9,
15,30,33,35,36,87,93,115,131,133,135,202,331,336,344,345,402,617],[1,2,3,4,5,
7,11,12,16,21,25,26,27,31,36,39,40,41,43,44,47,49,50,52,53,58,59,60,61,85,99,
126,140,141,142,143,150,151,152,154,155,156,157,158,159,161,199,211,212,214,
228,247,251,349,350,392,397,411,413,427,429,434,618],[1,2,3,4,5,6,12,13,16,21,
25,26,27,29,30,31,32,37,41,44,46,47,50,57,60,61,62,85,97,119,124,126,136,137,
138,143,154,157,158,159,161,164,201,208,215,216,221,245,248,319,350,391,396,
416,425,431,435,436,619],[1,2,3,4,5,8,10,12,16,21,25,26,27,31,33,34,38,41,44,
45,47,50,51,54,56,60,61,85,100,126,130,143,144,147,148,153,154,157,158,159,
160,161,198,209,210,224,226,243,249,339,350,394,400,415,417,420,423,426,620],[
1,2,3,4,5,9,11,12,16,21,25,26,27,31,35,39,40,41,43,44,47,49,50,52,53,55,59,60,
61,85,98,126,140,141,142,143,150,151,152,154,156,157,158,159,161,162,197,217,
219,220,227,244,250,349,350,393,399,418,419,422,430,437,621],[1,2,4,14,16,17,
28,64,66,166,622],[1,6,7,8,9,10,11,12,13,93,94,95,96,97,98,99,100,101,102,103,
104,105,106,107,108,351,353,354,355,356,357,358,363,623],[1,6,7,8,9,12,13,93,
96,97,101,103,105,352,355,361,624],[1,8,9,11,12,13,96,98,103,106,107,109,352,
356,359,625],[1,8,10,12,94,96,100,110,351,352,362,626],[1,7,8,11,12,13,96,99,
105,107,108,111,352,354,360,627],[1,7,8,11,12,13,96,99,101,105,107,108,109,
110,354,359,361,362,628],[1,8,10,12,13,94,96,100,101,109,111,351,359,360,361,
629],[1,8,9,11,12,13,96,98,101,103,106,107,110,111,356,360,361,362,630],[1,6,
7,8,9,12,13,93,96,97,101,103,105,109,110,111,355,359,360,362,364,365,631],[1,
2,4,12,14,15,17,18,44,63,64,65,67,68,123,167,168,284,298,369,632],[1,2,4,10,
14,15,17,18,38,63,64,65,67,68,116,167,168,283,293,369,633],[1,2,4,11,14,15,17,
18,43,63,64,65,67,68,125,167,168,287,296,369,634],[1,2,4,6,14,15,17,18,30,32,
63,64,65,67,68,115,117,121,122,167,168,272,274,275,288,308,369,450,460,635],[
1,2,4,11,14,15,17,18,40,63,64,65,67,68,125,167,168,285,292,369,636],[1,2,4,8,
14,15,17,18,33,63,64,65,67,68,133,167,168,271,279,369,453,637],[1,2,4,7,14,15,
17,18,36,63,64,65,67,68,131,167,168,273,282,369,452,638],[1,2,4,13,14,15,17,
18,46,63,64,65,67,68,134,167,168,281,286,311,369,639],[1,2,4,9,14,15,17,18,35,
63,64,65,67,68,135,167,168,270,280,369,456,640],[1,2,4,10,14,15,16,17,18,22,
38,42,45,64,65,66,67,68,70,71,75,116,129,130,132,166,168,169,172,173,277,289,
293,312,370,449,451,457,641],[1,2,3,4,5,6,14,16,17,19,20,21,23,24,25,26,27,29,
30,32,37,64,66,69,73,76,77,78,79,80,81,82,83,85,117,118,119,120,121,124,127,
128,136,137,138,166,171,174,179,182,187,188,274,276,278,291,302,303,304,305,
307,309,310,319,320,372,447,454,455,473,478,479,481,642],[1,2,3,4,5,6,14,15,
17,18,19,21,23,24,25,29,30,32,37,64,65,67,68,72,74,76,78,80,83,115,117,118,
121,122,124,127,128,136,168,170,176,178,182,274,275,288,290,299,304,305,308,
310,320,375,448,460,462,471,473,643],[1,2,4,6,14,15,17,18,23,30,32,64,65,67,
68,78,115,117,121,122,128,168,176,274,275,288,308,310,376,460,462,644],[1,2,4,
6,14,15,16,17,18,22,30,32,64,65,66,67,68,70,71,75,115,117,119,121,122,139,166,
168,169,172,173,274,275,278,288,306,308,314,330,370,447,458,460,465,470,645],[
1,2,4,6,14,15,17,18,30,32,64,65,67,68,87,115,117,121,122,168,183,274,275,288,
308,331,373,460,468,646],[1,2,4,6,14,15,17,18,22,30,32,64,65,67,68,70,115,117,
121,122,139,168,169,274,275,288,306,308,371,458,460,647],[1,2,4,5,6,14,15,17,
18,20,23,24,26,27,30,32,37,64,65,67,68,79,81,82,83,84,89,91,115,117,120,121,
122,127,128,137,138,168,175,177,186,188,274,275,288,302,307,308,309,315,320,
321,329,374,459,460,461,479,480,648],[1,2,4,5,9,15,17,24,26,27,35,55,63,67,68,
81,87,91,135,162,167,175,183,192,194,270,342,382,456,505,649],[1,2,4,5,10,14,
16,17,18,20,22,23,24,26,27,42,45,51,65,66,70,71,75,77,78,79,81,83,84,89,116,
129,146,147,171,172,176,179,181,184,186,277,289,326,343,383,457,467,476,650],[
1,2,3,4,5,6,14,16,17,18,19,20,21,22,23,24,25,26,27,29,30,32,37,65,66,69,70,71,
72,73,74,75,76,77,79,80,81,82,84,85,86,88,89,90,92,117,118,119,120,121,122,
124,127,128,136,137,138,139,170,172,174,180,185,186,187,189,190,191,193,275,
276,278,290,291,299,302,303,304,305,306,307,309,314,315,319,321,324,330,332,
333,334,378,448,455,470,472,474,478,480,490,498,502,503,651],[1,2,4,9,15,17,
20,23,35,63,67,68,79,87,135,167,177,183,270,336,380,456,652],[1,2,3,4,5,10,14,
15,16,17,19,20,21,22,23,24,25,34,45,54,66,67,69,70,76,77,78,79,80,82,88,90,
116,132,146,148,171,173,177,178,181,185,187,277,300,301,335,381,449,466,476,
653],[1,2,3,4,5,6,14,17,19,20,21,22,23,24,25,26,27,29,30,32,37,64,70,76,78,79,
80,81,82,83,86,88,90,92,117,118,120,121,124,127,128,136,137,138,139,169,180,
181,182,184,185,188,274,302,304,305,306,307,309,310,320,324,332,333,334,379,
458,469,472,473,474,477,479,654],[1,2,3,4,5,10,14,16,17,19,20,21,23,24,25,26,
27,34,38,45,51,54,64,66,69,73,76,77,78,79,80,81,82,83,85,116,130,144,147,148,
160,166,171,174,179,182,187,188,277,293,300,301,326,339,372,451,466,467,485,
501,655],[1,2,4,5,6,14,16,17,18,20,22,23,24,26,27,30,32,37,65,66,70,71,75,77,
78,79,81,83,84,89,117,119,120,121,122,127,128,137,138,139,171,172,176,179,181,
184,186,275,278,302,303,306,309,310,314,315,320,321,330,383,454,462,469,470,
477,480,481,656],[1,2,3,4,5,6,14,15,16,17,19,21,22,23,24,25,26,27,29,30,32,37,
66,67,70,73,77,78,80,81,83,85,86,91,92,115,117,118,119,121,124,127,128,136,
137,138,139,173,174,175,178,179,180,184,278,288,291,303,305,306,309,310,319,
320,329,332,333,377,455,461,465,471,474,477,481,657],[1,2,3,4,5,10,14,15,16,
17,19,21,22,23,24,25,26,27,45,48,51,66,67,70,73,77,78,80,81,83,85,86,91,92,
116,132,147,149,173,174,175,178,179,180,184,277,316,326,346,377,449,467,475,
658],[1,2,4,5,7,15,17,24,26,27,36,58,63,67,68,81,87,91,131,155,167,175,183,
192,194,273,338,382,452,499,659],[1,2,4,5,6,15,17,24,26,27,30,32,37,63,67,68,
81,87,91,115,121,127,137,138,167,175,183,192,194,272,288,308,309,329,331,382,
450,461,468,482,506,660],[1,2,3,4,5,6,14,15,16,17,19,20,21,22,23,24,25,29,30,
32,37,66,67,69,70,76,77,78,79,80,82,88,90,115,117,118,119,120,121,124,127,128,
136,139,171,173,177,178,181,185,187,276,278,288,302,303,304,305,306,307,310,
324,334,381,454,459,465,469,471,472,478,661],[1,2,4,8,15,17,20,23,33,63,67,68,
79,87,133,167,177,183,271,345,380,453,662],[1,2,3,4,5,10,14,16,17,19,20,21,23,
24,25,26,27,38,45,48,64,66,69,73,76,77,78,79,80,81,82,83,85,116,130,146,149,
166,171,174,179,182,187,188,277,293,316,337,372,451,475,476,663],[1,2,4,7,15,
17,20,23,36,63,67,68,79,87,131,167,177,183,273,344,380,452,664],[1,2,3,4,5,10,
14,16,17,18,19,20,21,22,23,24,25,26,27,34,42,45,48,54,65,66,69,70,71,72,73,74,
75,76,77,79,80,81,82,84,85,86,88,89,90,92,116,129,145,148,149,163,170,172,174,
180,185,186,187,189,190,191,193,277,289,300,301,316,348,378,457,466,475,488,
492,665],[1,2,4,6,15,17,20,23,30,32,63,67,68,79,87,115,120,121,128,167,177,
183,272,288,302,308,331,380,450,459,468,666],[1,2,4,5,8,15,17,24,26,27,33,56,
63,67,68,81,87,91,133,153,167,175,183,192,194,271,347,382,453,491,667],[1,2,3,
4,5,12,14,16,17,18,19,20,21,22,23,24,25,26,27,31,41,44,47,50,60,61,65,66,69,
70,71,72,73,74,75,76,77,79,80,81,82,84,85,86,88,89,90,92,123,126,143,154,157,
158,159,161,170,172,174,180,185,186,187,189,190,191,193,294,297,298,317,322,
323,327,350,378,464,483,494,495,496,500,504,668],[1,2,3,4,5,11,14,16,17,19,20,
21,23,24,25,26,27,39,40,43,49,52,53,59,64,66,69,73,76,77,78,79,80,81,82,83,85,
125,140,141,142,150,151,152,156,166,171,174,179,182,187,188,292,295,296,313,
318,325,328,349,372,463,484,486,487,489,493,497,669],[1,4,8,10,12,18,41,42,45,
94,96,100,129,195,225,226,351,386,521,670],[1,2,4,6,10,11,12,13,16,30,31,32,
41,42,44,46,94,95,97,104,107,119,126,195,200,201,205,216,221,223,353,384,396,
519,528,671],[1,3,4,6,10,11,12,13,19,29,32,34,39,41,42,48,94,95,97,104,107,
118,145,195,196,207,221,222,223,235,353,388,395,519,526,672],[1,4,6,10,11,12,
13,20,32,41,42,94,95,97,104,107,120,195,221,223,353,387,519,673],[1,2,8,12,15,
31,33,96,133,206,352,518,674],[1,2,4,8,10,12,16,31,33,38,41,42,44,45,94,96,
100,126,130,195,198,200,206,224,225,226,351,384,394,521,524,675],[1,4,8,10,12,
22,41,42,45,94,96,100,132,195,225,226,351,389,521,676],[1,2,4,7,9,10,11,12,13,
16,31,35,36,40,41,42,43,44,49,94,98,99,102,103,104,105,126,142,195,197,199,
200,203,204,211,214,217,227,241,357,384,392,399,523,529,530,677],[1,2,3,5,6,7,
8,9,10,11,12,13,21,29,30,31,34,37,38,39,40,43,47,50,51,52,53,55,56,57,58,93,
95,97,98,99,100,102,106,108,124,140,141,143,144,196,197,198,199,201,208,209,
210,212,213,215,218,219,220,228,236,237,240,242,358,391,393,397,398,400,522,
525,527,678],[1,4,5,8,10,12,26,41,42,45,50,51,56,60,94,96,100,147,158,195,209,
225,226,243,246,263,351,406,426,521,548,679],[1,4,6,10,11,12,13,22,32,41,42,
94,95,97,104,107,139,195,221,223,353,389,519,680],[1,3,4,5,8,10,12,25,34,41,
42,45,47,48,54,56,61,94,96,100,148,154,163,195,210,222,225,226,231,232,234,
249,351,409,414,417,520,521,531,681],[1,4,5,6,10,11,12,13,26,32,37,41,42,50,
57,60,94,95,97,104,107,137,158,195,208,221,223,246,248,264,353,406,425,519,
547,682],[1,3,4,5,6,10,11,12,13,25,29,32,37,41,42,47,48,54,59,61,62,94,95,97,
104,107,136,154,163,195,207,215,221,223,229,231,232,245,256,257,353,409,424,
431,519,532,533,683],[1,4,8,10,12,20,41,42,45,94,96,100,146,195,225,226,351,
387,521,684],[1,3,4,8,10,12,19,34,41,42,45,47,48,94,96,100,145,149,195,210,
222,225,226,232,351,388,412,521,531,685],[1,4,6,10,11,12,13,18,32,41,42,45,49,
94,95,97,104,107,122,129,195,221,223,225,230,241,353,386,407,519,546,686],[1,
2,5,7,9,10,11,12,13,27,31,35,40,44,50,52,54,55,58,59,60,61,62,94,98,99,102,
103,104,105,152,157,159,162,199,200,204,217,219,231,246,247,250,251,257,258,
262,265,266,357,421,422,429,438,529,544,550,687],[1,3,4,5,6,7,8,9,10,11,12,13,
25,29,32,34,37,39,41,45,47,49,54,55,56,58,59,61,62,93,95,97,98,99,100,102,106,
108,136,148,150,154,196,210,211,215,220,221,226,227,228,229,230,237,245,249,
250,251,258,260,261,358,401,411,417,418,431,522,542,545,688],[1,2,5,7,9,10,11,
12,13,27,31,36,43,44,50,53,54,55,58,59,60,61,62,94,98,99,102,103,104,105,151,
155,157,159,197,200,203,212,214,231,244,246,250,251,257,258,259,262,266,357,
419,421,427,444,523,550,551,689],[1,2,5,6,10,11,12,13,27,30,31,37,44,46,50,54,
57,59,60,61,62,94,95,97,104,107,138,157,159,164,200,201,205,208,216,229,231,
245,246,248,256,257,264,353,421,435,436,440,528,533,547,690],[1,2,3,5,8,10,12,
21,31,33,34,38,44,47,48,50,51,56,60,94,96,100,143,144,161,198,200,206,209,210,
222,224,232,243,246,263,351,400,423,432,524,531,548,691],[1,2,3,5,7,9,10,11,
12,13,21,31,36,39,43,44,47,48,50,52,55,60,94,98,99,102,103,104,105,141,143,
161,197,200,203,214,219,220,228,232,235,246,247,265,357,393,413,432,523,544,
549,692],[1,3,4,6,10,11,12,13,19,29,32,34,39,42,45,47,48,49,94,95,97,104,107,
118,145,149,196,207,215,222,223,225,230,232,235,241,353,395,403,412,526,532,
546,693],[1,2,3,5,7,9,10,11,12,13,21,31,35,39,40,44,47,48,50,53,58,60,94,98,
99,102,103,104,105,140,143,161,199,200,204,212,217,220,228,232,235,244,246,
259,357,397,430,432,529,549,551,694],[1,2,5,6,7,8,9,10,11,12,13,27,30,33,35,
36,37,38,40,43,44,46,50,51,52,53,54,55,56,57,58,59,61,62,93,95,97,98,99,100,
102,106,108,138,151,152,153,155,159,160,162,164,202,208,209,212,213,214,216,
217,218,219,224,229,233,236,237,238,239,240,242,245,249,250,251,258,260,261,
358,415,422,427,428,433,435,439,442,443,525,543,545,695],[1,2,5,8,10,12,27,31,
33,38,44,50,51,54,56,60,61,94,96,100,153,157,159,160,198,200,206,209,224,231,
234,243,246,249,263,351,415,420,421,445,520,524,548,696],[1,2,5,6,7,8,9,10,11,
12,13,27,30,31,37,38,40,43,51,52,53,54,55,56,58,59,60,61,62,93,95,97,98,99,
100,102,106,108,138,151,152,157,160,197,198,199,201,213,218,229,237,243,244,
245,247,248,249,250,251,258,260,261,358,419,420,428,429,436,527,541,545,697],[
1,4,5,7,9,10,11,12,13,26,41,42,49,50,52,53,55,58,60,94,98,99,102,103,104,105,
156,158,195,211,212,219,227,241,244,246,247,259,265,357,406,434,437,530,544,
551,698],[1,4,5,6,7,8,9,10,11,12,13,26,32,37,41,45,49,50,51,52,53,55,56,57,58,
60,93,95,97,98,99,100,102,106,108,137,147,156,158,208,209,211,212,218,219,221,
226,227,230,236,237,240,242,243,244,247,248,358,405,425,426,434,437,525,541,
542,699],[1,2,3,5,6,10,11,12,13,21,29,30,31,37,44,46,47,48,50,57,60,94,95,97,
104,107,124,143,161,200,201,205,207,208,215,216,232,246,248,264,353,391,416,
432,528,532,547,700],[1,3,4,5,6,10,11,12,13,25,29,32,34,37,39,42,45,48,49,54,
59,61,62,94,95,97,104,107,136,148,150,163,196,207,222,223,225,229,230,231,235,
241,245,256,257,353,401,414,424,441,526,533,546,701],[1,2,4,6,7,8,9,10,11,12,
13,16,30,31,32,33,35,36,38,40,41,43,44,45,46,49,93,95,97,98,99,100,102,106,
108,119,126,130,142,197,198,199,201,202,211,213,214,216,217,221,224,226,227,
230,233,238,239,358,392,394,396,399,408,527,542,543,702],[1,2,5,8,12,27,31,33,
56,60,61,96,153,157,206,234,263,352,445,518,556,703],[1,3,4,5,7,9,10,11,12,13,
25,39,41,42,47,48,49,54,55,58,59,61,62,94,98,99,102,103,104,105,150,154,163,
195,211,220,227,228,231,232,235,241,250,251,257,258,262,266,357,409,411,418,
441,530,549,550,704],[1,2,3,5,6,7,8,9,10,11,12,13,21,29,30,33,34,35,36,37,38,
39,40,43,44,46,47,51,52,53,60,93,95,97,98,99,100,102,106,108,124,140,141,144,
161,196,202,210,213,214,215,216,217,218,220,224,228,233,238,239,243,244,247,
248,358,398,413,416,423,430,522,541,543,705],[1,2,5,6,7,8,9,12,13,27,30,31,33,
35,36,37,55,56,58,60,61,62,93,96,97,101,103,105,138,153,155,157,162,201,202,
203,204,206,234,237,245,248,252,259,262,263,265,266,355,433,436,438,444,445,
539,540,558,706],[1,2,5,8,9,11,12,13,27,31,33,35,43,46,53,55,56,57,59,60,61,
62,96,98,103,106,107,151,153,157,162,164,197,204,205,206,234,238,240,244,250,
256,261,263,264,265,266,356,419,438,439,440,445,534,537,553,707],[1,2,5,7,8,9,
10,11,12,13,27,31,35,36,38,46,51,54,55,56,57,58,59,60,61,62,100,101,102,103,
104,105,106,107,108,155,157,160,162,164,198,203,204,205,239,242,243,249,252,
256,257,258,259,260,261,262,264,265,266,363,420,438,440,442,444,536,554,557,
708],[1,2,5,7,8,11,12,13,27,31,33,36,40,46,52,56,57,58,59,60,61,62,96,99,105,
107,108,152,153,155,157,164,199,203,205,206,233,234,236,247,251,256,259,260,
262,263,264,354,429,440,443,444,445,535,538,555,709],[1,2,4,12,16,18,22,28,31,
41,44,71,112,123,126,267,297,563,710],[1,4,10,14,18,22,28,42,45,75,112,116,
129,267,289,564,711],[1,3,4,5,12,18,24,25,28,41,47,61,74,112,113,114,123,154,
268,327,563,712],[1,4,5,12,18,23,26,28,41,50,60,89,112,123,158,269,323,563,
713],[1,3,4,10,14,19,23,28,34,42,48,76,112,116,145,269,301,564,714],[1,3,4,5,
10,14,25,26,28,42,48,54,73,112,113,114,116,163,268,316,564,715],[1,3,4,5,6,22,
23,25,28,29,32,37,88,112,113,114,128,136,139,165,267,268,269,324,366,367,368,
446,565,566,567,716],[1,2,3,4,5,14,15,16,17,18,19,20,21,22,23,24,25,26,27,63,
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,
90,91,92,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,369,370,371,372,373,374,375,
376,377,378,379,380,381,382,383,568,569,570,571,572,573,574,717],[1,2,4,6,10,
11,14,15,16,17,22,30,32,45,49,66,67,70,95,115,116,117,119,121,125,132,139,173,
230,277,278,288,295,306,385,404,449,465,576,718],[1,2,4,6,7,8,9,15,17,30,32,
33,35,36,63,67,68,93,115,121,131,133,135,167,202,270,271,272,273,288,308,402,
450,452,453,456,575,719],[1,2,4,6,10,11,14,16,17,30,32,38,40,43,45,49,64,66,
95,116,117,119,121,125,130,142,166,213,230,274,277,278,292,293,295,296,385,
408,447,451,463,576,602,720],[1,2,4,5,6,10,11,14,16,17,23,24,26,27,30,32,37,
45,49,51,52,53,66,77,78,81,83,95,116,117,119,121,125,127,128,137,138,147,156,
179,218,230,277,278,295,303,309,310,318,320,326,328,385,405,467,481,487,576,
600,721],[1,2,3,4,5,6,10,11,14,16,17,19,21,24,25,26,27,29,30,32,37,45,48,49,
66,73,80,81,85,95,116,117,118,119,121,124,125,127,136,137,138,149,174,207,230,
277,278,291,295,305,309,316,319,385,403,455,475,576,599,722],[1,2,4,6,10,11,
14,16,17,18,22,30,32,42,45,49,65,66,70,71,75,95,116,117,119,121,122,125,129,
139,172,223,230,275,277,278,289,295,306,314,330,385,407,457,470,576,603,723],[
1,2,4,6,10,11,14,16,17,20,23,30,32,45,49,66,78,79,95,116,117,119,120,121,125,
128,146,171,230,277,278,295,302,310,385,410,454,476,576,724],[1,2,3,4,5,6,10,
11,14,16,17,19,20,21,23,24,25,29,30,32,34,37,39,45,49,54,59,66,69,76,77,79,80,
82,95,116,117,118,119,120,121,124,125,127,128,136,148,150,187,196,229,230,276,
277,278,295,300,301,302,303,304,305,307,313,325,385,401,466,478,489,576,577,
578,725],[1,2,3,4,5,6,12,13,16,18,19,20,21,22,25,26,27,29,30,31,32,37,60,61,
62,69,71,72,84,85,86,90,97,118,119,120,122,123,124,134,136,137,138,139,157,
189,201,245,248,276,297,299,314,315,317,319,322,333,334,340,390,436,498,500,
593,594,596,726],[1,2,3,4,5,6,10,11,14,17,19,21,23,24,25,29,30,32,34,37,38,39,
40,43,51,52,53,64,76,78,80,83,95,116,117,118,121,124,125,127,128,136,140,141,
144,182,196,213,218,274,292,293,296,301,304,305,310,318,320,325,326,328,385,
398,473,486,493,501,578,600,602,727],[1,3,4,5,6,10,11,14,18,19,22,23,25,26,29,
32,34,37,39,42,48,72,73,75,76,86,88,89,95,116,117,118,122,125,128,136,137,139,
145,190,196,207,223,289,291,299,301,304,316,321,324,325,330,333,385,395,492,
503,578,599,603,728],[1,2,4,5,6,12,13,17,18,20,23,24,26,27,30,32,37,44,46,50,
57,61,62,65,79,81,84,89,97,120,121,122,123,127,128,134,137,138,159,164,186,
208,216,245,275,298,302,309,311,315,317,321,323,340,341,390,435,480,504,507,
594,595,597,729],[1,2,3,4,5,6,12,13,16,18,21,22,23,24,25,26,27,29,30,31,32,37,
47,50,57,71,74,77,85,88,89,92,97,119,122,123,124,127,128,134,136,137,138,139,
143,191,201,208,215,290,297,303,314,319,321,323,324,327,332,341,390,391,494,
502,593,597,598,730],[1,3,4,5,6,10,11,14,18,20,22,24,25,26,29,32,37,42,48,54,
59,73,74,75,82,84,90,92,95,116,117,120,122,125,127,136,137,139,163,193,207,
223,229,289,290,291,300,307,313,315,316,330,332,334,385,424,488,490,577,599,
603,731],[1,2,5,6,7,8,9,15,27,30,33,35,36,37,55,56,58,63,87,91,93,115,138,153,
155,162,194,202,237,270,271,272,273,329,331,433,491,499,505,506,575,732],[1,3,
4,5,6,12,13,14,18,20,22,24,25,26,29,32,37,41,47,61,62,73,74,75,82,84,90,92,97,
117,120,122,123,127,134,136,137,139,154,193,215,221,245,290,291,294,307,315,
317,327,330,332,334,340,390,431,490,495,594,598,601,733],[1,2,4,6,12,13,14,16,
17,18,22,30,31,32,41,44,46,65,66,70,71,75,97,117,119,121,122,123,126,134,139,
172,201,216,221,275,278,294,297,298,306,311,314,330,390,396,464,470,593,595,
601,734],[1,2,3,4,5,6,12,13,17,18,19,21,24,25,29,30,32,37,44,46,47,60,65,72,
74,80,97,118,121,122,123,124,127,134,136,161,170,215,216,248,275,290,298,299,
305,311,322,327,390,416,448,496,595,596,598,735],[1,2,4,5,6,10,11,14,17,20,23,
24,26,27,30,32,37,38,40,43,51,52,53,54,59,64,79,81,82,83,95,116,117,120,121,
125,127,128,137,138,151,152,160,188,213,218,229,274,292,293,296,300,302,307,
309,313,318,320,326,328,385,428,479,484,485,497,577,600,602,736],[1,3,4,5,6,
12,13,14,18,19,22,23,25,26,29,32,37,41,50,57,60,72,73,75,76,86,88,89,97,117,
118,122,123,128,134,136,137,139,158,190,208,221,248,291,294,299,304,321,322,
323,324,330,333,341,390,425,483,503,596,597,601,737],[1,2,5,9,11,12,15,27,35,
40,44,50,52,55,59,61,63,87,91,98,135,152,159,162,194,217,219,250,270,280,284,
285,336,342,422,505,511,512,514,587,738],[1,2,5,8,9,11,13,15,27,33,35,43,46,
53,55,56,57,59,62,63,87,91,106,133,151,153,162,164,194,238,240,261,270,279,
281,287,345,347,439,505,509,513,517,581,739],[1,2,5,7,11,12,15,27,36,43,44,50,
53,58,59,61,63,87,91,99,131,151,155,159,194,212,214,251,273,282,284,287,338,
344,427,499,514,516,517,579,740],[1,2,5,6,10,11,15,27,30,37,38,40,43,51,52,53,
54,59,63,87,91,95,115,138,151,152,160,194,213,218,229,272,283,285,287,329,331,
428,506,510,512,517,591,741],[1,2,5,7,9,10,13,15,27,35,36,38,46,51,54,55,57,
58,62,63,87,91,102,131,155,160,162,164,194,239,242,258,270,282,283,286,338,
344,442,505,510,515,516,588,742],[1,2,3,4,5,6,10,11,16,18,19,20,21,22,25,26,
27,29,30,32,34,37,38,39,40,42,43,45,48,49,51,52,53,54,59,69,71,72,84,85,86,90,
95,118,119,120,122,124,129,130,132,136,137,138,139,140,141,142,144,145,146,
147,148,149,150,151,152,156,160,163,189,196,207,213,218,223,229,230,276,299,
312,314,315,319,333,334,335,337,339,343,346,348,349,395,398,401,403,404,405,
407,408,410,424,428,498,508,604,605,606,607,608,611,615,743],[1,2,5,7,8,11,13,
15,27,33,36,40,46,52,56,57,58,59,62,63,87,91,108,133,152,153,155,164,194,233,
236,260,273,279,285,286,345,347,443,499,512,513,515,582,744],[1,2,5,6,12,13,
15,27,30,37,44,46,50,57,61,62,63,87,91,97,115,138,159,164,194,208,216,245,272,
281,284,286,329,331,435,506,509,514,515,589,745],[1,2,5,6,7,8,9,15,27,30,33,
35,36,37,55,56,58,63,87,91,93,115,131,133,135,138,153,155,162,194,202,237,272,
279,280,282,329,331,336,338,342,344,345,347,402,433,506,511,513,516,586,612,
617,746],[1,2,3,4,5,10,12,16,18,19,20,21,22,25,26,27,31,34,41,42,44,45,47,48,
50,54,60,61,69,71,72,84,85,86,90,94,126,129,143,145,148,149,154,157,158,159,
161,163,189,195,200,222,225,231,232,246,348,350,384,386,387,388,389,406,409,
412,414,421,432,580,584,609,610,613,614,616,747],[1,2,5,8,10,12,15,27,33,38,
44,50,51,54,56,61,63,87,91,100,133,153,159,160,194,209,224,249,271,279,283,
284,345,347,415,491,510,513,514,590,748],[1,2,5,8,9,11,13,15,27,33,35,43,46,
53,55,56,57,59,62,63,87,91,106,135,151,153,162,164,194,238,240,261,271,280,
286,287,336,342,439,491,511,515,517,585,749],[1,2,5,7,8,11,13,15,27,33,36,40,
46,52,56,57,58,59,62,63,87,91,108,131,152,153,155,164,194,233,236,260,271,281,
282,285,338,344,443,491,509,512,516,592,750],[1,2,5,7,9,10,13,15,27,35,36,38,
46,51,54,55,57,58,62,63,87,91,102,135,155,160,162,164,194,239,242,258,273,280,
281,283,336,342,442,499,509,510,511,583,751],[1,2,4,14,15,16,17,18,22,28,64,
65,66,67,68,70,71,75,112,166,168,169,172,173,370,622,752],[1,2,6,7,8,9,12,13,
30,31,33,35,36,93,96,97,101,103,105,201,202,203,204,206,352,355,361,518,540,
624,753],[1,5,6,7,8,9,10,11,12,13,37,54,55,56,58,59,61,62,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,229,231,234,237,245,249,250,251,252,
256,257,258,260,261,262,266,351,353,354,355,356,357,358,363,520,533,535,537,
539,545,550,554,623,754],[1,4,6,7,8,9,10,11,12,13,32,41,42,45,49,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,195,211,221,223,225,226,227,230,
241,351,353,354,355,356,357,358,363,519,521,530,542,546,623,755],[1,3,6,7,8,9,
10,11,12,13,29,34,39,47,48,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,196,207,210,215,220,222,228,232,235,351,353,354,355,356,357,358,363,
522,526,531,532,549,623,756],[1,2,7,8,11,12,13,31,33,36,40,46,96,99,105,107,
108,111,199,203,205,206,233,352,354,360,518,538,627,757],[1,2,8,10,12,31,33,
38,44,94,96,100,110,198,200,206,224,351,352,362,518,524,626,758],[1,2,8,9,11,
12,13,31,33,35,43,46,96,98,103,106,107,109,197,204,205,206,238,352,356,359,
518,534,625,759],[1,2,6,7,8,9,10,11,12,13,30,31,33,35,36,38,40,43,44,46,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,197,198,199,200,201,202,
203,204,205,206,213,214,216,217,224,233,238,239,351,353,354,355,356,357,358,
363,523,524,527,528,529,534,536,538,540,543,623,760],[1,5,6,7,8,9,10,11,12,13,
37,50,51,52,53,55,56,57,58,60,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,208,209,212,218,219,236,237,240,242,243,244,246,247,248,259,263,
264,265,351,353,354,355,356,357,358,363,525,541,544,547,548,551,553,555,557,
558,623,761],[1,5,6,7,8,9,12,13,37,55,56,58,60,61,62,93,96,97,101,103,105,234,
237,245,248,252,259,262,263,265,266,352,355,361,539,556,558,559,624,762],[1,5,
7,8,11,12,13,56,58,59,60,61,62,96,99,105,107,108,111,234,251,256,260,262,263,
352,354,360,535,556,627,763],[1,5,8,9,11,12,13,55,56,59,60,61,62,96,98,103,
106,107,109,234,250,256,261,263,266,352,356,359,537,556,625,764],[1,5,8,9,11,
12,13,53,55,56,57,60,61,96,98,103,106,107,109,234,240,244,254,263,264,265,352,
356,359,553,556,561,625,765],[1,5,8,10,12,54,56,60,61,94,96,100,110,231,234,
249,263,351,352,362,520,556,626,766],[1,5,7,8,11,12,13,52,56,57,58,60,61,96,
99,105,107,108,111,234,236,247,253,259,263,264,352,354,360,555,556,562,627,
767],[1,5,8,10,12,50,51,56,60,61,94,96,100,110,209,234,243,246,255,263,351,
352,362,548,556,560,626,768],[1,5,7,8,11,12,13,52,56,57,58,60,62,96,99,101,
105,107,108,109,110,236,247,252,254,255,259,263,264,354,359,361,362,555,559,
560,561,628,769],[1,5,6,7,8,9,12,13,37,55,56,58,60,93,96,97,101,103,105,109,
110,111,237,248,253,254,255,259,263,265,355,359,360,362,364,365,552,558,560,
561,562,631,770],[1,5,8,9,11,12,13,53,55,56,57,60,62,96,98,101,103,106,107,
110,111,240,244,252,253,255,263,264,265,356,360,361,362,553,559,560,562,630,
771],[1,5,8,10,12,13,50,51,56,60,62,94,96,100,101,109,111,209,243,246,252,253,
254,263,351,359,360,361,548,559,561,562,629,772],[1,4,6,12,13,18,28,32,41,97,
112,122,123,134,165,221,367,390,563,773],[1,4,6,10,11,14,28,32,42,95,112,116,
117,125,165,223,367,385,564,774],[1,2,4,12,14,15,16,17,18,22,31,41,44,63,64,
65,66,67,68,70,71,75,123,126,166,167,168,169,172,173,284,294,297,298,369,370,
371,464,568,632,775],[1,2,4,10,14,15,16,17,18,22,38,45,63,64,65,66,67,68,70,
71,75,116,130,166,167,168,169,172,173,277,283,293,369,370,371,451,568,633,
776],[1,2,3,4,5,11,14,15,17,18,19,21,23,24,25,39,43,52,63,64,65,67,68,72,74,
76,78,80,83,125,141,167,168,170,176,178,182,287,296,325,328,369,375,376,493,
569,634,777],[1,2,3,4,5,10,14,15,17,18,19,21,23,24,25,34,38,51,63,64,65,67,68,
72,74,76,78,80,83,116,144,167,168,170,176,178,182,283,293,301,326,369,375,376,
501,569,633,778],[1,2,4,6,14,15,16,17,18,22,30,32,63,64,65,66,67,68,70,71,75,
115,117,119,121,122,139,166,167,168,169,172,173,272,274,275,278,288,306,308,
314,330,369,370,371,447,450,458,460,465,470,568,635,645,647,779],[1,2,4,11,14,
15,16,17,18,22,40,43,49,63,64,65,66,67,68,70,71,75,125,142,166,167,168,169,
172,173,287,292,295,296,369,370,371,463,568,634,780],[1,2,4,11,14,15,16,17,18,
22,40,43,49,63,64,65,66,67,68,70,71,75,125,142,166,167,168,169,172,173,285,
292,295,296,369,370,371,463,568,636,781],[1,2,3,4,5,11,14,15,17,18,19,21,23,
24,25,39,40,53,63,64,65,67,68,72,74,76,78,80,83,125,140,167,168,170,176,178,
182,285,292,318,325,369,375,376,486,569,636,782],[1,2,3,4,5,6,14,15,17,18,19,
21,23,24,25,29,30,32,37,63,64,65,67,68,72,74,76,78,80,83,115,117,118,121,122,
124,127,128,136,167,168,170,176,178,182,272,274,275,288,290,299,304,305,308,
310,320,369,375,376,448,450,460,462,471,473,569,635,643,644,783],[1,2,4,5,12,
14,15,17,18,20,23,24,26,27,44,50,61,63,64,65,67,68,79,81,82,83,84,87,89,91,
123,159,167,168,175,177,183,186,188,192,194,284,298,317,323,369,373,374,380,
382,504,514,574,632,784],[1,2,4,5,11,14,15,17,18,20,23,24,26,27,43,53,59,63,
64,65,67,68,79,81,82,83,84,87,89,91,125,151,167,168,175,177,183,186,188,192,
194,287,296,313,318,369,373,374,380,382,484,517,574,634,785],[1,2,3,4,5,12,14,
15,17,18,19,21,23,24,25,44,47,60,63,64,65,67,68,72,74,76,78,80,83,123,161,167,
168,170,176,178,182,284,298,322,327,369,375,376,496,569,632,786],[1,2,4,6,14,
15,16,17,18,22,23,30,32,64,65,66,67,68,70,71,75,78,87,115,117,119,121,122,128,
139,166,168,169,172,173,176,183,274,275,278,288,306,308,310,314,330,331,370,
373,376,447,458,460,462,465,468,470,571,644,645,646,787],[1,2,4,5,10,14,15,17,
18,20,23,24,26,27,38,51,54,63,64,65,67,68,79,81,82,83,84,87,89,91,116,160,167,
168,175,177,183,186,188,192,194,283,293,300,326,369,373,374,380,382,485,510,
574,633,788],[1,2,4,5,6,14,15,17,18,20,22,23,24,26,27,30,32,37,64,65,67,68,70,
78,79,81,82,83,84,89,91,115,117,120,121,122,127,128,137,138,139,168,169,175,
176,177,186,188,274,275,288,302,306,307,308,309,310,315,320,321,329,371,374,
376,458,459,460,461,462,479,480,570,644,647,648,789],[1,2,4,5,11,14,15,17,18,
20,23,24,26,27,40,52,59,63,64,65,67,68,79,81,82,83,84,87,89,91,125,152,167,
168,175,177,183,186,188,192,194,285,292,313,328,369,373,374,380,382,497,512,
574,636,790],[1,2,3,4,5,6,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,32,
37,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,
90,91,92,115,117,118,119,120,121,122,124,127,128,136,137,138,139,166,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,184,185,186,187,188,189,
190,191,193,274,275,276,278,288,290,291,299,302,303,304,305,306,307,308,309,
310,314,315,319,320,321,324,329,330,332,333,334,370,372,374,375,377,378,379,
381,383,447,448,454,455,458,459,460,461,462,465,469,470,471,472,473,474,477,
478,479,480,481,490,498,502,503,572,642,643,645,648,651,654,656,657,661,791],[
1,2,4,5,6,14,15,17,18,20,23,24,26,27,30,32,37,63,64,65,67,68,79,81,82,83,84,
87,89,91,115,117,120,121,122,127,128,137,138,167,168,175,177,183,186,188,192,
194,272,274,275,288,302,307,308,309,315,320,321,329,331,369,373,374,380,382,
450,459,460,461,468,479,480,482,506,574,635,646,648,660,666,792],[1,2,3,4,5,6,
14,15,17,18,19,21,22,23,24,25,29,30,32,37,64,65,67,68,70,72,74,76,78,80,83,87,
115,117,118,121,122,124,127,128,136,139,168,169,170,176,178,182,183,274,275,
288,290,299,304,305,306,308,310,320,331,371,373,375,448,458,460,462,468,471,
473,573,643,646,647,793],[1,2,4,5,13,14,15,17,18,20,23,24,26,27,46,57,62,63,
64,65,67,68,79,81,82,83,84,87,89,91,134,164,167,168,175,177,183,186,188,192,
194,281,286,311,340,341,369,373,374,380,382,507,509,515,574,639,794],[1,2,4,5,
9,14,15,17,18,20,23,24,26,27,35,55,63,64,65,67,68,79,81,82,83,84,87,89,91,135,
162,167,168,175,177,183,186,188,192,194,270,280,336,342,369,373,374,380,382,
456,505,511,574,640,649,652,795],[1,2,3,4,5,10,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,34,38,42,45,48,51,54,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,88,89,90,91,92,116,129,130,132,144,145,146,147,148,
149,160,163,166,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
184,185,186,187,188,189,190,191,193,277,289,293,300,301,312,316,326,335,337,
339,343,346,348,370,372,374,375,377,378,379,381,383,449,451,457,466,467,475,
476,485,488,492,501,508,572,641,650,653,655,658,663,665,796],[1,2,4,5,7,14,15,
17,18,20,23,24,26,27,36,58,63,64,65,67,68,79,81,82,83,84,87,89,91,131,155,167,
168,175,177,183,186,188,192,194,273,282,338,344,369,373,374,380,382,452,499,
516,574,638,659,664,797],[1,2,4,5,8,14,15,17,18,20,23,24,26,27,33,56,63,64,65,
67,68,79,81,82,83,84,87,89,91,133,153,167,168,175,177,183,186,188,192,194,271,
279,345,347,369,373,374,380,382,453,491,513,574,637,662,667,798],[1,2,8,12,15,
31,33,63,96,133,206,279,352,518,674,799],[1,2,4,8,10,12,16,18,22,31,33,38,41,
42,44,45,71,94,96,100,126,129,130,132,195,198,200,206,224,225,226,312,351,384,
386,389,394,521,524,580,670,675,676,800],[1,2,3,4,6,10,11,12,13,16,19,20,29,
30,31,32,34,39,41,42,44,46,48,69,94,95,97,104,107,118,119,120,126,145,195,196,
200,201,205,207,216,221,222,223,235,276,353,384,387,388,395,396,519,526,528,
584,671,672,673,801],[1,3,4,5,8,10,12,18,19,25,34,41,42,45,47,48,54,56,61,72,
94,96,100,129,145,148,149,154,163,195,210,222,225,226,231,232,234,249,348,351,
386,388,409,412,414,417,520,521,531,614,670,681,685,802],[1,2,3,4,8,10,12,16,
19,20,31,33,34,38,41,42,44,45,47,48,69,94,96,100,126,130,145,146,149,195,198,
200,206,210,222,224,225,226,232,337,351,384,387,388,394,412,521,524,531,584,
675,684,685,803],[1,3,4,5,8,10,12,19,22,26,34,41,42,45,47,48,50,51,56,60,86,
94,96,100,132,145,147,149,158,195,209,210,222,225,226,232,243,246,263,346,351,
388,389,406,412,426,521,531,548,610,676,679,685,804],[1,3,4,5,8,10,12,20,22,
25,34,41,42,45,47,48,54,56,61,90,94,96,100,132,146,148,154,163,195,210,222,
225,226,231,232,234,249,335,351,387,389,409,414,417,520,521,531,609,676,681,
684,805],[1,2,6,7,8,9,10,11,12,13,15,30,33,35,36,38,40,43,44,46,63,93,95,97,
98,99,100,102,106,108,115,131,133,135,202,213,214,216,217,224,233,238,239,270,
271,272,273,279,280,281,282,283,284,285,286,287,358,402,543,575,579,581,582,
583,585,586,587,588,589,590,591,592,806],[1,3,4,5,6,10,11,12,13,20,22,25,29,
32,37,41,42,47,48,54,59,61,62,90,94,95,97,104,107,120,136,139,154,163,195,207,
215,221,223,229,231,232,245,256,257,334,353,387,389,409,424,431,519,532,533,
609,673,680,683,807],[1,2,4,6,10,11,12,13,16,18,22,30,31,32,41,42,44,45,46,49,
71,94,95,97,104,107,119,122,126,129,139,195,200,201,205,216,221,223,225,230,
241,314,353,384,386,389,396,407,519,528,546,580,671,680,686,808],[1,2,5,8,12,
15,27,31,33,56,60,61,91,96,133,153,157,206,234,263,347,352,445,518,556,674,
703,809],[1,3,4,5,6,10,11,12,13,18,19,25,29,32,34,37,39,41,42,45,47,48,49,54,
59,61,62,72,94,95,97,104,107,118,122,129,136,145,148,149,150,154,163,195,196,
207,215,221,222,223,225,229,230,231,232,235,241,245,256,257,299,348,353,386,
388,395,401,403,407,409,412,414,424,431,441,519,526,532,533,546,606,614,672,
683,686,693,701,810],[1,2,8,12,15,31,33,87,96,133,206,345,352,518,674,811],[1,
2,3,4,5,6,10,11,12,13,16,21,25,26,27,29,30,31,32,37,41,42,44,46,47,48,50,54,
57,59,60,61,62,85,94,95,97,104,107,119,124,126,136,137,138,143,154,157,158,
159,161,163,164,195,200,201,205,207,208,215,216,221,223,229,231,232,245,246,
248,256,257,264,319,350,353,384,391,396,406,409,416,421,424,425,431,432,435,
436,440,519,528,532,533,547,616,619,671,682,683,690,700,812],[1,4,5,8,10,12,
18,20,26,41,42,45,50,51,56,60,84,94,96,100,129,146,147,158,195,209,225,226,
243,246,263,343,351,386,387,406,426,521,548,613,670,679,684,813],[1,3,4,5,6,
10,11,12,13,19,22,26,29,32,34,37,39,41,42,48,50,57,60,86,94,95,97,104,107,118,
137,139,145,158,195,196,207,208,221,222,223,235,246,248,264,333,353,388,389,
395,406,425,519,526,547,610,672,680,682,814],[1,2,3,4,5,8,10,12,16,21,25,26,
27,31,33,34,38,41,42,44,45,47,48,50,51,54,56,60,61,85,94,96,100,126,130,143,
144,147,148,153,154,157,158,159,160,161,163,195,198,200,206,209,210,222,224,
225,226,231,232,234,243,246,249,263,339,350,351,384,394,400,406,409,414,415,
417,420,421,423,426,432,445,520,521,524,531,548,616,620,675,679,681,691,696,
815],[1,4,5,6,10,11,12,13,18,20,26,32,37,41,42,45,49,50,57,60,84,94,95,97,104,
107,120,122,129,137,158,195,208,221,223,225,230,241,246,248,264,315,353,386,
387,406,407,425,519,546,547,613,673,682,686,816],[1,2,3,4,5,6,7,8,9,10,11,12,
13,16,21,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,43,44,45,46,47,49,50,
51,52,53,54,55,56,57,58,59,60,61,62,85,93,95,97,98,99,100,102,106,108,119,124,
126,130,136,137,138,140,141,142,143,144,147,148,150,151,152,153,154,155,156,
157,158,159,160,161,162,164,196,197,198,199,201,202,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,224,226,227,228,229,230,233,236,237,238,239,
240,242,243,244,245,247,248,249,250,251,258,260,261,319,339,349,350,358,391,
392,393,394,396,397,398,399,400,401,405,408,411,413,415,416,417,418,419,420,
422,423,425,426,427,428,429,430,431,433,434,435,436,437,439,442,443,522,525,
527,541,542,543,545,607,618,619,620,621,678,688,695,697,699,702,705,817],[1,2,
3,4,5,7,9,10,11,12,13,16,21,25,26,27,31,35,36,39,40,41,42,43,44,47,48,49,50,
52,53,54,55,58,59,60,61,62,85,94,98,99,102,103,104,105,126,140,141,142,143,
150,151,152,154,155,156,157,158,159,161,162,163,195,197,199,200,203,204,211,
212,214,217,219,220,227,228,231,232,235,241,244,246,247,250,251,257,258,259,
262,265,266,349,350,357,384,392,393,397,399,406,409,411,413,418,419,421,422,
427,429,430,432,434,437,438,441,444,523,529,530,544,549,550,551,616,618,621,
677,687,689,692,694,698,704,818],[1,2,4,6,14,16,17,28,30,32,64,66,117,119,121,
165,166,274,278,447,622,819],[1,3,4,5,10,14,18,19,22,23,25,26,28,34,42,45,48,
54,72,73,75,76,86,88,89,112,113,114,116,129,145,148,149,163,190,267,268,269,
289,301,316,348,446,492,564,711,714,715,820],[1,2,3,4,5,12,16,18,21,22,23,24,
25,26,27,28,31,41,44,47,50,60,61,71,74,77,85,88,89,92,112,113,114,123,126,143,
154,157,158,159,161,191,267,268,269,297,323,327,350,446,494,563,710,712,713,
821],[1,6,7,8,9,10,11,12,13,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,351,352,353,354,355,356,357,358,359,360,361,362,363,364,
365,623,624,625,626,627,628,629,630,631,822],[1,2,4,9,11,12,14,15,17,18,35,40,
44,63,64,65,67,68,98,123,125,135,167,168,217,270,280,284,285,292,298,369,456,
587,632,636,640,823],[1,2,4,7,11,12,14,15,17,18,36,43,44,63,64,65,67,68,99,
123,125,131,167,168,214,273,282,284,287,296,298,369,452,579,632,634,638,824],[
1,2,4,6,12,13,14,15,17,18,30,32,44,46,63,64,65,67,68,97,115,117,121,122,123,
134,167,168,216,272,274,275,281,284,286,288,298,308,311,369,390,450,460,589,
595,632,635,639,825],[1,2,4,8,10,12,14,15,17,18,33,38,44,63,64,65,67,68,100,
116,123,133,167,168,224,271,279,283,284,293,298,369,453,590,632,633,637,826],[
1,2,4,6,10,11,14,15,17,18,30,32,38,40,43,63,64,65,67,68,95,115,116,117,121,
122,125,167,168,213,272,274,275,283,285,287,288,292,293,296,308,369,385,450,
460,591,602,633,634,635,636,827],[1,2,4,6,7,8,9,14,15,17,18,30,32,33,35,36,63,
64,65,67,68,93,115,117,121,122,131,133,135,167,168,202,270,271,272,273,274,
275,279,280,282,288,308,369,402,450,452,453,456,460,575,586,635,637,638,640,
719,828],[1,2,4,7,9,10,13,14,15,17,18,35,36,38,46,63,64,65,67,68,102,116,131,
134,135,167,168,239,270,273,280,281,282,283,286,293,311,369,452,456,583,588,
633,638,639,640,829],[1,2,4,8,9,11,13,14,15,17,18,33,35,43,46,63,64,65,67,68,
106,125,133,134,135,167,168,238,270,271,279,280,281,286,287,296,311,369,453,
456,581,585,634,637,639,640,830],[1,2,4,7,8,11,13,14,15,17,18,33,36,40,46,63,
64,65,67,68,108,125,131,133,134,167,168,233,271,273,279,281,282,285,286,292,
311,369,452,453,582,592,636,637,638,639,831],[1,2,4,5,6,7,8,9,15,17,24,26,27,
30,32,33,35,36,37,55,56,58,63,67,68,81,87,91,93,115,121,127,131,133,135,137,
138,153,155,162,167,175,183,192,194,202,237,270,271,272,273,288,308,309,329,
331,338,342,347,382,402,433,450,452,453,456,461,468,482,491,499,505,506,575,
612,649,659,660,667,719,732,832],[1,2,4,6,7,8,9,15,17,20,23,30,32,33,35,36,63,
67,68,79,87,93,115,120,121,128,131,133,135,167,177,183,202,270,271,272,273,
288,302,308,331,336,344,345,380,402,450,452,453,456,459,468,575,617,652,662,
664,666,719,833],[1,2,3,4,5,6,10,11,14,16,17,18,19,20,21,22,23,24,25,26,27,29,
30,32,34,37,39,42,45,48,49,54,59,65,66,69,70,71,72,73,74,75,76,77,79,80,81,82,
84,85,86,88,89,90,92,95,116,117,118,119,120,121,122,124,125,127,128,129,136,
137,138,139,145,148,149,150,163,170,172,174,180,185,186,187,189,190,191,193,
196,207,223,229,230,275,276,277,278,289,290,291,295,299,300,301,302,303,304,
305,306,307,309,313,314,315,316,319,321,324,325,330,332,333,334,348,378,385,
395,401,403,407,424,448,455,457,466,470,472,474,475,478,480,488,489,490,492,
498,502,503,576,577,578,599,603,606,651,665,722,723,725,728,731,834],[1,2,3,4,
5,6,10,11,14,16,17,19,20,21,23,24,25,26,27,29,30,32,37,38,40,43,45,48,49,64,
66,69,73,76,77,78,79,80,81,82,83,85,95,116,117,118,119,120,121,124,125,127,
128,130,136,137,138,142,146,149,166,171,174,179,182,187,188,207,213,230,274,
276,277,278,291,292,293,295,296,302,303,304,305,307,309,310,316,319,320,337,
372,385,403,408,410,447,451,454,455,463,473,475,476,478,479,481,576,599,602,
608,642,663,720,722,724,835],[1,2,4,5,6,10,11,14,16,17,18,20,22,23,24,26,27,
30,32,37,42,45,49,51,52,53,65,66,70,71,75,77,78,79,81,83,84,89,95,116,117,119,
120,121,122,125,127,128,129,137,138,139,146,147,156,171,172,176,179,181,184,
186,218,223,230,275,277,278,289,295,302,303,306,309,310,314,315,318,320,321,
326,328,330,343,383,385,405,407,410,454,457,462,467,469,470,476,477,480,481,
487,576,600,603,611,650,656,721,723,724,836],[1,2,3,4,5,6,10,11,14,16,17,19,
20,21,23,24,25,26,27,29,30,32,34,37,38,39,40,43,45,49,51,52,53,54,59,64,66,69,
73,76,77,78,79,80,81,82,83,85,95,116,117,118,119,120,121,124,125,127,128,130,
136,137,138,140,141,142,144,147,148,150,151,152,156,160,166,171,174,179,182,
187,188,196,213,218,229,230,274,276,277,278,291,292,293,295,296,300,301,302,
303,304,305,307,309,310,313,318,319,320,325,326,328,339,349,372,385,398,401,
405,408,428,447,451,454,455,463,466,467,473,478,479,481,484,485,486,487,489,
493,497,501,576,577,578,600,602,607,642,655,669,720,721,725,727,736,837],[1,2,
3,4,5,6,10,11,14,15,16,17,19,20,21,22,23,24,25,29,30,32,34,37,39,45,49,54,59,
66,67,69,70,76,77,78,79,80,82,88,90,95,115,116,117,118,119,120,121,124,125,
127,128,132,136,139,146,148,150,171,173,177,178,181,185,187,196,229,230,276,
277,278,288,295,300,301,302,303,304,305,306,307,310,313,324,325,334,335,381,
385,401,404,410,449,454,459,465,466,469,471,472,476,478,489,576,577,578,615,
653,661,718,724,725,838],[1,2,4,6,10,11,14,15,16,17,18,22,30,32,38,40,42,43,
45,49,64,65,66,67,68,70,71,75,95,115,116,117,119,121,122,125,129,130,132,139,
142,166,168,169,172,173,213,223,230,274,275,277,278,288,289,292,293,295,296,
306,308,312,314,330,370,385,404,407,408,447,449,451,457,458,460,463,465,470,
576,602,603,605,641,645,718,720,723,839],[1,2,3,4,5,6,10,11,14,15,16,17,19,21,
22,23,24,25,26,27,29,30,32,37,45,48,49,51,52,53,66,67,70,73,77,78,80,81,83,85,
86,91,92,95,115,116,117,118,119,121,124,125,127,128,132,136,137,138,139,147,
149,156,173,174,175,178,179,180,184,207,218,230,277,278,288,291,295,303,305,
306,309,310,316,318,319,320,326,328,329,332,333,346,377,385,403,404,405,449,
455,461,465,467,471,474,475,477,481,487,576,599,600,604,657,658,718,721,722,
840],[1,2,3,4,5,6,12,13,14,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,37,
41,44,46,47,50,57,60,61,62,65,66,69,70,71,72,73,74,75,76,77,79,80,81,82,84,85,
86,88,89,90,92,97,117,118,119,120,121,122,123,124,126,127,128,134,136,137,138,
139,143,154,157,158,159,161,164,170,172,174,180,185,186,187,189,190,191,193,
201,208,215,216,221,245,248,275,276,278,290,291,294,297,298,299,302,303,304,
305,306,307,309,311,314,315,317,319,321,322,323,324,327,330,332,333,334,340,
341,350,378,390,391,396,416,425,431,435,436,448,455,464,470,472,474,478,480,
483,490,494,495,496,498,500,502,503,504,507,593,594,595,596,597,598,601,619,
651,668,726,729,730,733,734,735,737,841],[1,2,4,14,15,16,17,18,22,23,28,64,65,
66,67,68,70,71,75,78,87,112,166,168,169,172,173,176,183,269,370,373,376,571,
622,752,842],[1,4,8,10,12,18,41,42,45,94,96,100,110,123,129,195,225,226,351,
352,362,386,521,626,670,843],[1,4,6,7,8,9,10,11,12,13,18,32,41,42,45,49,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,122,129,195,211,221,223,
225,226,227,230,241,351,353,354,355,356,357,358,363,386,407,519,521,530,542,
546,623,670,686,755,844],[1,4,8,10,12,13,18,41,42,45,94,96,100,101,109,111,
129,134,195,225,226,351,359,360,361,386,521,629,670,845],[1,3,4,5,6,7,8,9,10,
11,12,13,25,29,32,34,37,39,41,42,45,47,48,49,54,55,56,58,59,61,62,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,136,148,150,154,163,195,196,207,
210,211,215,220,221,222,223,225,226,227,228,229,230,231,232,234,235,237,241,
245,249,250,251,252,256,257,258,260,261,262,266,351,353,354,355,356,357,358,
363,401,409,411,414,417,418,424,431,441,519,520,521,522,526,530,531,532,533,
535,537,539,542,545,546,549,550,554,623,681,683,688,701,704,754,755,756,846],[
1,4,6,7,8,9,10,11,12,13,22,32,41,42,45,49,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,132,139,195,211,221,223,225,226,227,230,241,351,353,
354,355,356,357,358,363,389,404,519,521,530,542,546,623,676,680,755,847],[1,2,
4,6,7,8,9,10,11,12,13,16,30,31,32,33,35,36,38,40,41,42,43,44,45,46,49,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,119,126,130,142,195,197,
198,199,200,201,202,203,204,205,206,211,213,214,216,217,221,223,224,225,226,
227,230,233,238,239,241,351,353,354,355,356,357,358,363,384,392,394,396,399,
408,519,521,523,524,527,528,529,530,534,536,538,540,542,543,546,623,671,675,
677,702,755,760,848],[1,3,4,6,7,8,9,10,11,12,13,19,29,32,34,39,41,42,45,47,48,
49,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,118,145,149,195,
196,207,210,211,215,220,221,222,223,225,226,227,228,230,232,235,241,351,353,
354,355,356,357,358,363,388,395,403,412,519,521,522,526,530,531,532,542,546,
549,623,672,685,693,755,756,849],[1,2,6,7,8,9,12,13,15,30,31,33,35,36,93,96,
97,101,103,105,115,131,133,135,201,202,203,204,206,352,355,361,402,518,540,
624,674,753,850],[1,4,6,7,8,9,10,11,12,13,20,32,41,42,45,49,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,120,146,195,211,221,223,225,226,227,
230,241,351,353,354,355,356,357,358,363,387,410,519,521,530,542,546,623,673,
684,755,851],[1,4,5,6,7,8,9,10,11,12,13,26,32,37,41,42,45,49,50,51,52,53,55,
56,57,58,60,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,137,147,
156,158,195,208,209,211,212,218,219,221,223,225,226,227,230,236,237,240,241,
242,243,244,246,247,248,259,263,264,265,351,353,354,355,356,357,358,363,405,
406,425,426,434,437,519,521,525,530,541,542,544,546,547,548,551,553,555,557,
558,623,679,682,698,699,755,761,852],[1,2,5,6,7,8,9,12,13,27,30,31,33,35,36,
37,55,56,58,60,61,62,93,96,97,101,103,105,138,153,155,157,162,201,202,203,204,
206,234,237,245,248,252,259,262,263,265,266,352,355,361,433,436,438,444,445,
518,539,540,556,558,559,624,703,706,753,762,853],[1,2,5,6,7,8,9,10,11,12,13,
27,30,31,33,35,36,37,38,40,43,44,46,50,51,52,53,54,55,56,57,58,59,60,61,62,93,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,138,151,152,153,155,157,
159,160,162,164,197,198,199,200,201,202,203,204,205,206,208,209,212,213,214,
216,217,218,219,224,229,231,233,234,236,237,238,239,240,242,243,244,245,246,
247,248,249,250,251,252,256,257,258,259,260,261,262,263,264,265,266,351,353,
354,355,356,357,358,363,415,419,420,421,422,427,428,429,433,435,436,438,439,
440,442,443,444,445,520,523,524,525,527,528,529,533,534,535,536,537,538,539,
540,541,543,544,545,547,548,550,551,553,554,555,557,558,623,687,689,690,695,
696,697,706,707,708,709,754,760,761,854],[1,2,3,5,6,7,8,9,10,11,12,13,21,29,
30,31,33,34,35,36,37,38,39,40,43,44,46,47,48,50,51,52,53,55,56,57,58,60,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,124,140,141,143,144,161,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,212,213,214,215,
216,217,218,219,220,222,224,228,232,233,235,236,237,238,239,240,242,243,244,
246,247,248,259,263,264,265,351,353,354,355,356,357,358,363,391,393,397,398,
400,413,416,423,430,432,522,523,524,525,526,527,528,529,531,532,534,536,538,
540,541,543,544,547,548,549,551,553,555,557,558,623,678,691,692,694,700,705,
756,760,761,855],[1,2,5,8,9,11,12,13,27,31,33,35,43,46,53,55,56,57,59,60,61,
62,96,98,103,106,107,109,151,153,157,162,164,197,204,205,206,234,238,240,244,
250,254,256,261,263,264,265,266,352,356,359,419,438,439,440,445,518,534,537,
553,556,561,625,703,707,759,764,765,856],[1,2,5,8,10,12,27,31,33,38,44,50,51,
54,56,60,61,94,96,100,110,153,157,159,160,198,200,206,209,224,231,234,243,246,
249,255,263,351,352,362,415,420,421,445,518,520,524,548,556,560,626,696,703,
758,766,768,857],[1,2,5,7,8,11,12,13,27,31,33,36,40,46,52,56,57,58,59,60,61,
62,96,99,105,107,108,111,152,153,155,157,164,199,203,205,206,233,234,236,247,
251,253,256,259,260,262,263,264,352,354,360,429,440,443,444,445,518,535,538,
555,556,562,627,703,709,757,763,767,858],[1,4,10,12,14,18,22,28,41,42,75,94,
112,116,123,195,289,294,389,563,564,859],[1,3,4,5,6,10,11,14,25,26,28,29,32,
37,42,48,54,59,73,95,112,113,114,116,117,125,136,137,163,165,207,223,229,268,
291,316,366,367,368,385,424,564,565,599,715,774,860],[1,4,5,6,12,13,18,23,26,
28,32,37,41,50,57,60,89,97,112,122,123,128,134,137,158,165,208,221,248,269,
321,323,341,367,390,425,563,566,597,713,773,861],[1,3,4,5,6,12,13,18,24,25,28,
29,32,37,41,47,61,62,74,97,112,113,114,122,123,127,134,136,154,165,215,221,
245,268,290,327,366,367,368,390,431,563,565,598,712,773,862],[1,2,4,6,12,13,
16,18,22,28,30,31,32,41,44,46,71,97,112,119,122,123,126,134,139,165,201,216,
221,267,297,314,367,390,396,563,567,593,710,773,863],[1,4,6,10,11,14,18,22,28,
32,42,45,49,75,95,112,116,117,122,125,129,139,165,223,230,267,289,330,367,385,
407,564,567,603,711,774,864],[1,3,4,6,10,11,14,19,23,28,29,32,34,39,42,48,76,
95,112,116,117,118,125,128,145,165,196,207,223,269,301,304,325,367,385,395,
564,566,578,714,774,865],[1,2,3,4,5,6,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,29,30,32,37,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,115,117,118,119,120,121,122,124,127,128,136,137,
138,139,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,272,274,275,276,278,288,290,
291,299,302,303,304,305,306,307,308,309,310,314,315,319,320,321,324,329,330,
331,332,333,334,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,
447,448,450,454,455,458,459,460,461,462,465,468,469,470,471,472,473,474,477,
478,479,480,481,482,490,498,502,503,506,568,569,570,571,572,573,574,635,642,
643,644,645,646,647,648,651,654,656,657,660,661,666,717,779,783,787,789,791,
792,793,866],[1,2,3,4,5,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,31,41,44,
47,50,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,87,88,89,90,91,92,123,126,143,154,157,158,159,161,166,167,168,169,170,
171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,
190,191,192,193,194,284,294,297,298,317,322,323,327,350,369,370,371,372,373,
374,375,376,377,378,379,380,381,382,383,464,483,494,495,496,500,504,514,568,
569,570,571,572,573,574,632,668,717,775,784,786,867],[1,2,3,4,5,10,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,34,38,45,51,54,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,116,130,144,147,
148,160,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,277,283,293,300,301,326,339,
369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,451,466,467,485,
501,510,568,569,570,571,572,573,574,633,655,717,776,778,788,868],[1,2,3,4,5,
11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,39,40,43,49,52,53,59,63,64,65,66,
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,
125,140,141,142,150,151,152,156,166,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,285,
292,295,296,313,318,325,328,349,369,370,371,372,373,374,375,376,377,378,379,
380,381,382,383,463,484,486,487,489,493,497,512,568,569,570,571,572,573,574,
636,669,717,781,782,790,869],[1,2,3,4,5,11,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,39,40,43,49,52,53,59,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,125,140,141,142,150,151,152,156,166,
167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,287,292,295,296,313,318,325,328,349,369,
370,371,372,373,374,375,376,377,378,379,380,381,382,383,463,484,486,487,489,
493,497,517,568,569,570,571,572,573,574,634,669,717,777,780,785,870],[1,2,3,4,
5,8,10,12,16,18,19,20,21,22,25,26,27,31,33,34,38,41,42,44,45,47,48,50,51,54,
56,60,61,69,71,72,84,85,86,90,94,96,100,126,129,130,132,143,144,145,146,147,
148,149,153,154,157,158,159,160,161,163,189,195,198,200,206,209,210,222,224,
225,226,231,232,234,243,246,249,263,312,335,337,339,343,346,348,350,351,384,
386,387,388,389,394,400,406,409,412,414,415,417,420,421,423,426,432,445,508,
520,521,524,531,548,580,584,609,610,613,614,616,620,670,675,676,679,681,684,
685,691,696,747,800,802,803,804,805,813,815,871],[1,2,5,6,7,8,9,10,11,12,13,
15,27,30,33,35,36,37,38,40,43,44,46,50,51,52,53,54,55,56,57,58,59,61,62,63,87,
91,93,95,97,98,99,100,102,106,108,115,131,133,135,138,151,152,153,155,159,160,
162,164,194,202,208,209,212,213,214,216,217,218,219,224,229,233,236,237,238,
239,240,242,245,249,250,251,258,260,261,270,271,272,273,279,280,281,282,283,
284,285,286,287,329,331,336,338,342,344,345,347,358,402,415,422,427,428,433,
435,439,442,443,491,499,505,506,509,510,511,512,513,514,515,516,517,525,543,
545,575,579,581,582,583,585,586,587,588,589,590,591,592,612,617,695,732,738,
739,740,741,742,744,745,746,748,749,750,751,806,872],[1,2,3,4,5,6,10,11,12,13,
16,18,19,20,21,22,25,26,27,29,30,31,32,34,37,39,41,42,44,45,46,47,48,49,50,54,
57,59,60,61,62,69,71,72,84,85,86,90,94,95,97,104,107,118,119,120,122,124,126,
129,136,137,138,139,143,145,148,149,150,154,157,158,159,161,163,164,189,195,
196,200,201,205,207,208,215,216,221,222,223,225,229,230,231,232,235,241,245,
246,248,256,257,264,276,299,314,315,319,333,334,348,350,353,384,386,387,388,
389,391,395,396,401,403,406,407,409,412,414,416,421,424,425,431,432,435,436,
440,441,498,519,526,528,532,533,546,547,580,584,606,609,610,613,614,616,619,
671,672,673,680,682,683,686,690,693,700,701,747,801,807,808,810,812,814,816,
873],[1,2,5,8,12,15,27,31,33,56,60,61,63,87,91,96,133,153,157,194,206,234,263,
279,345,347,352,445,513,518,556,674,703,799,809,811,874],[1,2,4,6,14,15,16,17,
18,22,28,30,32,64,65,66,67,68,70,71,75,112,115,117,119,121,122,139,165,166,
168,169,172,173,274,275,278,288,306,308,314,330,367,370,447,458,460,465,470,
622,645,752,819,875],[1,2,6,7,8,9,10,11,12,13,30,31,33,35,36,38,40,43,44,46,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,197,198,
199,200,201,202,203,204,205,206,213,214,216,217,224,233,238,239,351,352,353,
354,355,356,357,358,359,360,361,362,363,364,365,518,523,524,527,528,529,534,
536,538,540,543,623,624,625,626,627,628,629,630,631,753,757,758,759,760,822,
876],[1,5,6,7,8,9,10,11,12,13,37,50,51,52,53,55,56,57,58,60,61,62,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,208,209,212,218,219,
234,236,237,240,242,243,244,245,246,247,248,252,253,254,255,259,262,263,264,
265,266,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,525,539,
541,544,547,548,551,552,553,555,556,557,558,559,560,561,562,623,624,625,626,
627,628,629,630,631,761,762,765,767,768,769,770,771,772,822,877],[1,5,6,7,8,9,
10,11,12,13,37,54,55,56,58,59,60,61,62,93,94,95,96,97,98,99,100,101,102,103,
104,105,106,107,108,109,110,111,229,231,234,237,245,248,249,250,251,252,256,
257,258,259,260,261,262,263,265,266,351,352,353,354,355,356,357,358,359,360,
361,362,363,364,365,520,533,535,537,539,545,550,554,556,558,559,623,624,625,
626,627,628,629,630,631,754,762,763,764,766,822,878],[1,2,4,9,11,12,14,15,16,
17,18,22,31,35,40,41,43,44,49,63,64,65,66,67,68,70,71,75,98,123,125,126,135,
142,166,167,168,169,172,173,197,217,227,270,280,284,285,292,294,295,296,297,
298,369,370,371,399,456,463,464,568,587,632,636,640,775,781,823,879],[1,2,4,6,
12,13,14,15,16,17,18,22,30,31,32,41,44,46,63,64,65,66,67,68,70,71,75,97,115,
117,119,121,122,123,126,134,139,166,167,168,169,172,173,201,216,221,272,274,
275,278,281,284,286,288,294,297,298,306,308,311,314,330,369,370,371,390,396,
447,450,458,460,464,465,470,568,589,593,595,601,632,635,639,645,647,734,775,
779,825,880],[1,2,4,7,11,12,14,15,16,17,18,22,31,36,40,41,43,44,49,63,64,65,
66,67,68,70,71,75,99,123,125,126,131,142,166,167,168,169,172,173,199,211,214,
273,282,284,287,292,294,295,296,297,298,369,370,371,392,452,463,464,568,579,
632,634,638,775,780,824,881],[1,2,4,8,10,12,14,15,16,17,18,22,31,33,38,41,44,
45,63,64,65,66,67,68,70,71,75,100,116,123,126,130,133,166,167,168,169,172,173,
198,224,226,271,277,279,283,284,293,294,297,298,369,370,371,394,451,453,464,
568,590,632,633,637,775,776,826,882],[1,2,3,4,5,6,10,11,14,15,17,18,19,21,23,
24,25,29,30,32,34,37,38,39,40,43,51,52,53,63,64,65,67,68,72,74,76,78,80,83,95,
115,116,117,118,121,122,124,125,127,128,136,140,141,144,167,168,170,176,178,
182,196,213,218,272,274,275,283,285,287,288,290,292,293,296,299,301,304,305,
308,310,318,320,325,326,328,369,375,376,385,398,448,450,460,462,471,473,486,
493,501,569,578,591,600,602,633,634,635,636,643,644,727,777,778,782,783,827,
883],[1,2,4,6,10,11,14,15,16,17,18,22,30,32,38,40,43,45,49,63,64,65,66,67,68,
70,71,75,95,115,116,117,119,121,122,125,130,139,142,166,167,168,169,172,173,
213,230,272,274,275,277,278,283,285,287,288,292,293,295,296,306,308,314,330,
369,370,371,385,408,447,450,451,458,460,463,465,470,568,576,591,602,633,634,
635,636,645,647,720,776,779,780,781,827,884],[1,2,3,4,5,7,11,12,14,15,17,18,
19,21,23,24,25,36,39,43,44,47,52,60,63,64,65,67,68,72,74,76,78,80,83,99,123,
125,131,141,161,167,168,170,176,178,182,214,228,247,273,282,284,287,296,298,
322,325,327,328,369,375,376,413,452,493,496,569,579,632,634,638,777,786,824,
885],[1,2,4,5,6,10,11,14,15,17,18,20,23,24,26,27,30,32,37,38,40,43,51,52,53,
54,59,63,64,65,67,68,79,81,82,83,84,87,89,91,95,115,116,117,120,121,122,125,
127,128,137,138,151,152,160,167,168,175,177,183,186,188,192,194,213,218,229,
272,274,275,283,285,287,288,292,293,296,300,302,307,308,309,313,315,318,320,
321,326,328,329,331,369,373,374,380,382,385,428,450,459,460,461,468,479,480,
482,484,485,497,506,510,512,517,574,577,591,600,602,633,634,635,636,646,648,
660,666,736,741,785,788,790,792,827,886],[1,2,3,4,5,6,12,13,14,15,17,18,19,21,
23,24,25,29,30,32,37,44,46,47,60,63,64,65,67,68,72,74,76,78,80,83,97,115,117,
118,121,122,123,124,127,128,134,136,161,167,168,170,176,178,182,215,216,248,
272,274,275,281,284,286,288,290,298,299,304,305,308,310,311,320,322,327,369,
375,376,390,416,448,450,460,462,471,473,496,569,589,595,596,598,632,635,639,
643,644,735,783,786,825,887],[1,2,4,5,6,12,13,14,15,17,18,20,23,24,26,27,30,
32,37,44,46,50,57,61,62,63,64,65,67,68,79,81,82,83,84,87,89,91,97,115,117,120,
121,122,123,127,128,134,137,138,159,164,167,168,175,177,183,186,188,192,194,
208,216,245,272,274,275,281,284,286,288,298,302,307,308,309,311,315,317,320,
321,323,329,331,340,341,369,373,374,380,382,390,435,450,459,460,461,468,479,
480,482,504,506,507,509,514,515,574,589,594,595,597,632,635,639,646,648,660,
666,729,745,784,792,794,825,888],[1,2,3,4,5,9,11,12,14,15,17,18,19,21,23,24,
25,35,39,40,44,47,53,60,63,64,65,67,68,72,74,76,78,80,83,98,123,125,135,140,
161,167,168,170,176,178,182,217,220,244,270,280,284,285,292,298,318,322,325,
327,369,375,376,430,456,486,496,569,587,632,636,640,782,786,823,889],[1,2,4,5,
8,10,12,14,15,17,18,20,23,24,26,27,33,38,44,50,51,54,56,61,63,64,65,67,68,79,
81,82,83,84,87,89,91,100,116,123,133,153,159,160,167,168,175,177,183,186,188,
192,194,209,224,249,271,279,283,284,293,298,300,317,323,326,345,347,369,373,
374,380,382,415,453,485,491,504,510,513,514,574,590,632,633,637,662,667,748,
784,788,798,826,890],[1,2,3,4,5,8,10,12,14,15,17,18,19,21,23,24,25,33,34,38,
44,47,51,60,63,64,65,67,68,72,74,76,78,80,83,100,116,123,133,144,161,167,168,
170,176,178,182,210,224,243,271,279,283,284,293,298,301,322,326,327,369,375,
376,423,453,496,501,569,590,632,633,637,778,786,826,891],[1,2,4,5,9,11,12,14,
15,17,18,20,23,24,26,27,35,40,44,50,52,55,59,61,63,64,65,67,68,79,81,82,83,84,
87,89,91,98,123,125,135,152,159,162,167,168,175,177,183,186,188,192,194,217,
219,250,270,280,284,285,292,298,313,317,323,328,336,342,369,373,374,380,382,
422,456,497,504,505,511,512,514,574,587,632,636,640,649,652,738,784,790,795,
823,892],[1,2,4,5,7,11,12,14,15,17,18,20,23,24,26,27,36,43,44,50,53,58,59,61,
63,64,65,67,68,79,81,82,83,84,87,89,91,99,123,125,131,151,155,159,167,168,175,
177,183,186,188,192,194,212,214,251,273,282,284,287,296,298,313,317,318,323,
338,344,369,373,374,380,382,427,452,484,499,504,514,516,517,574,579,632,634,
638,659,664,740,784,785,797,824,893],[1,2,4,5,6,7,8,9,14,15,17,18,20,23,24,26,
27,30,32,33,35,36,37,55,56,58,63,64,65,67,68,79,81,82,83,84,87,89,91,93,115,
117,120,121,122,127,128,131,133,135,137,138,153,155,162,167,168,175,177,183,
186,188,192,194,202,237,270,271,272,273,274,275,279,280,282,288,302,307,308,
309,315,320,321,329,331,336,338,342,344,345,347,369,373,374,380,382,402,433,
450,452,453,456,459,460,461,468,479,480,482,491,499,505,506,511,513,516,574,
575,586,612,617,635,637,638,640,646,648,649,652,659,660,662,664,666,667,719,
732,746,792,795,797,798,828,832,833,894],[1,2,3,4,5,6,10,11,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,29,30,32,34,37,38,39,40,42,43,45,48,49,51,52,53,54,59,
64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,88,89,90,
91,92,95,115,116,117,118,119,120,121,122,124,125,127,128,129,130,132,136,137,
138,139,140,141,142,144,145,146,147,148,149,150,151,152,156,160,163,166,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,184,185,186,187,188,
189,190,191,193,196,207,213,218,223,229,230,274,275,276,277,278,288,289,290,
291,292,293,295,296,299,300,301,302,303,304,305,306,307,308,309,310,312,313,
314,315,316,318,319,320,321,324,325,326,328,329,330,332,333,334,335,337,339,
343,346,348,349,370,372,374,375,377,378,379,381,383,385,395,398,401,403,404,
405,407,408,410,424,428,447,448,449,451,454,455,457,458,459,460,461,462,463,
465,466,467,469,470,471,472,473,474,475,476,477,478,479,480,481,484,485,486,
487,488,489,490,492,493,497,498,501,502,503,508,572,576,577,578,599,600,602,
603,604,605,606,607,608,611,615,641,642,643,645,648,650,651,653,654,655,656,
657,658,661,663,665,669,718,720,721,722,723,724,725,727,728,731,736,743,791,
796,834,835,836,837,838,839,840,895],[1,2,4,5,7,8,11,13,14,15,17,18,20,23,24,
26,27,33,36,40,46,52,56,57,58,59,62,63,64,65,67,68,79,81,82,83,84,87,89,91,
108,125,131,133,134,152,153,155,164,167,168,175,177,183,186,188,192,194,233,
236,260,271,273,279,281,282,285,286,292,311,313,328,338,340,341,344,345,347,
369,373,374,380,382,443,452,453,491,497,499,507,509,512,513,515,516,574,582,
592,636,637,638,639,659,662,664,667,744,750,790,794,797,798,831,896],[1,2,4,5,
8,9,11,13,14,15,17,18,20,23,24,26,27,33,35,43,46,53,55,56,57,59,62,63,64,65,
67,68,79,81,82,83,84,87,89,91,106,125,133,134,135,151,153,162,164,167,168,175,
177,183,186,188,192,194,238,240,261,270,271,279,280,281,286,287,296,311,313,
318,336,340,341,342,345,347,369,373,374,380,382,439,453,456,484,491,505,507,
509,511,513,515,517,574,581,585,634,637,639,640,649,652,662,667,739,749,785,
794,795,798,830,897],[1,2,4,5,7,9,10,13,14,15,17,18,20,23,24,26,27,35,36,38,
46,51,54,55,57,58,62,63,64,65,67,68,79,81,82,83,84,87,89,91,102,116,131,134,
135,155,160,162,164,167,168,175,177,183,186,188,192,194,239,242,258,270,273,
280,281,282,283,286,293,300,311,326,336,338,340,341,342,344,369,373,374,380,
382,442,452,456,485,499,505,507,509,510,511,515,516,574,583,588,633,638,639,
640,649,652,659,664,742,751,788,794,795,797,829,898],[1,2,7,8,11,12,13,15,31,
33,36,40,46,63,96,99,105,107,108,111,133,199,203,205,206,233,273,279,285,286,
352,354,360,518,538,582,627,674,757,799,899],[1,2,4,8,10,12,16,18,22,31,33,38,
41,42,44,45,71,94,96,100,110,123,126,129,130,132,195,198,200,206,224,225,226,
297,312,351,352,362,384,386,389,394,518,521,524,580,626,670,675,676,758,800,
843,900],[1,2,6,7,8,9,12,13,15,30,31,33,35,36,63,93,96,97,101,103,105,115,131,
133,135,201,202,203,204,206,272,279,280,282,352,355,361,402,518,540,586,624,
674,753,799,850,901],[1,3,4,5,6,7,8,9,10,11,12,13,18,19,25,29,32,34,37,39,41,
42,45,47,48,49,54,55,56,58,59,61,62,72,93,94,95,96,97,98,99,100,101,102,103,
104,105,106,107,108,118,122,129,136,145,148,149,150,154,163,195,196,207,210,
211,215,220,221,222,223,225,226,227,228,229,230,231,232,234,235,237,241,245,
249,250,251,252,256,257,258,260,261,262,266,299,348,351,353,354,355,356,357,
358,363,386,388,395,401,403,407,409,411,412,414,417,418,424,431,441,519,520,
521,522,526,530,531,532,533,535,537,539,542,545,546,549,550,554,606,614,623,
670,672,681,683,685,686,688,693,701,704,754,755,756,802,810,844,846,849,902],[
1,2,8,9,11,12,13,15,31,33,35,43,46,63,96,98,103,106,107,109,133,197,204,205,
206,238,270,279,281,287,352,356,359,518,534,581,625,674,759,799,903],[1,2,8,
10,12,15,31,33,38,44,63,94,96,100,110,133,198,200,206,224,271,279,283,284,351,
352,362,518,524,590,626,674,758,799,904],[1,2,6,7,8,9,12,13,15,30,31,33,35,36,
87,93,96,97,101,103,105,115,131,133,135,201,202,203,204,206,331,336,344,345,
352,355,361,402,518,540,617,624,674,753,811,850,905],[1,3,4,5,6,7,8,9,10,11,
12,13,20,22,25,29,32,34,37,39,41,42,45,47,48,49,54,55,56,58,59,61,62,90,93,94,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,120,132,136,139,146,148,
150,154,163,195,196,207,210,211,215,220,221,222,223,225,226,227,228,229,230,
231,232,234,235,237,241,245,249,250,251,252,256,257,258,260,261,262,266,334,
335,351,353,354,355,356,357,358,363,387,389,401,404,409,410,411,414,417,418,
424,431,441,519,520,521,522,526,530,531,532,533,535,537,539,542,545,546,549,
550,554,609,615,623,673,676,680,681,683,684,688,701,704,754,755,756,805,807,
846,847,851,906],[1,2,3,4,5,6,7,8,9,10,11,12,13,16,21,25,26,27,29,30,31,32,33,
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,
60,61,62,85,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,119,124,
126,130,136,137,138,140,141,142,143,144,147,148,150,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,195,196,197,198,199,200,201,202,203,204,205,
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,
244,245,246,247,248,249,250,251,252,256,257,258,259,260,261,262,263,264,265,
266,319,339,349,350,351,353,354,355,356,357,358,363,384,391,392,393,394,396,
397,398,399,400,401,405,406,408,409,411,413,414,415,416,417,418,419,420,421,
422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,
441,442,443,444,445,519,520,521,522,523,524,525,526,527,528,529,530,531,532,
533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,
553,554,555,557,558,607,616,618,619,620,621,623,671,675,677,678,679,681,682,
683,687,688,689,690,691,692,694,695,696,697,698,699,700,701,702,704,705,706,
707,708,709,754,755,756,760,761,812,815,817,818,846,848,852,854,855,907],[1,2,
5,6,7,8,9,12,13,15,27,30,31,33,35,36,37,55,56,58,60,61,62,91,93,96,97,101,103,
105,115,131,133,135,138,153,155,157,162,201,202,203,204,206,234,237,245,248,
252,259,262,263,265,266,329,338,342,347,352,355,361,402,433,436,438,444,445,
518,539,540,556,558,559,612,624,674,703,706,753,762,809,850,853,908],[1,3,4,5,
6,7,8,9,10,11,12,13,19,22,26,29,32,34,37,39,41,42,45,47,48,49,50,51,52,53,55,
56,57,58,60,86,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,118,
132,137,139,145,147,149,156,158,195,196,207,208,209,210,211,212,215,218,219,
220,221,222,223,225,226,227,228,230,232,235,236,237,240,241,242,243,244,246,
247,248,259,263,264,265,333,346,351,353,354,355,356,357,358,363,388,389,395,
403,404,405,406,412,425,426,434,437,519,521,522,525,526,530,531,532,541,542,
544,546,547,548,549,551,553,555,557,558,604,610,623,672,676,679,680,682,685,
693,698,699,755,756,761,804,814,847,849,852,909],[1,3,4,5,8,10,12,18,19,25,34,
41,42,45,47,48,54,56,60,61,72,94,96,100,110,123,129,145,148,149,154,163,195,
210,222,225,226,231,232,234,249,263,322,348,351,352,362,386,388,409,412,414,
417,520,521,531,556,614,626,670,681,685,766,802,843,910],[1,2,4,6,7,8,9,10,11,
12,13,16,18,22,30,31,32,33,35,36,38,40,41,42,43,44,45,46,49,71,93,94,95,96,97,
98,99,100,101,102,103,104,105,106,107,108,119,122,126,129,130,132,139,142,195,
197,198,199,200,201,202,203,204,205,206,211,213,214,216,217,221,223,224,225,
226,227,230,233,238,239,241,312,314,351,353,354,355,356,357,358,363,384,386,
389,392,394,396,399,404,407,408,519,521,523,524,527,528,529,530,534,536,538,
540,542,543,546,580,605,623,670,671,675,676,677,680,686,702,755,760,800,808,
844,847,848,911],[1,4,5,6,7,8,9,10,11,12,13,18,20,26,32,37,41,42,45,49,50,51,
52,53,55,56,57,58,60,84,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,120,122,129,137,146,147,156,158,195,208,209,211,212,218,219,221,223,225,
226,227,230,236,237,240,241,242,243,244,246,247,248,259,263,264,265,315,343,
351,353,354,355,356,357,358,363,386,387,405,406,407,410,425,426,434,437,519,
521,525,530,541,542,544,546,547,548,551,553,555,557,558,611,613,623,670,673,
679,682,684,686,698,699,755,761,813,816,844,851,852,912],[1,2,3,4,6,7,8,9,10,
11,12,13,16,19,20,29,30,31,32,33,34,35,36,38,39,40,41,42,43,44,45,46,47,48,49,
69,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,118,119,120,126,
130,142,145,146,149,195,196,197,198,199,200,201,202,203,204,205,206,207,210,
211,213,214,215,216,217,220,221,222,223,224,225,226,227,228,230,232,233,235,
238,239,241,276,337,351,353,354,355,356,357,358,363,384,387,388,392,394,395,
396,399,403,408,410,412,519,521,522,523,524,526,527,528,529,530,531,532,534,
536,538,540,542,543,546,549,584,608,623,671,672,673,675,677,684,685,693,702,
755,756,760,801,803,848,849,851,913],[1,4,5,8,10,12,18,20,26,41,42,45,50,51,
56,60,61,84,94,96,100,110,123,129,146,147,158,195,209,225,226,234,243,246,255,
263,317,343,351,352,362,386,387,406,426,521,548,556,560,613,626,670,679,684,
768,813,843,914],[1,4,5,8,10,12,13,18,20,26,41,42,45,50,51,56,60,62,84,94,96,
100,101,109,111,129,134,146,147,158,195,209,225,226,243,246,252,253,254,263,
340,343,351,359,360,361,386,387,406,426,521,548,559,561,562,613,629,670,679,
684,772,813,845,915],[1,2,4,10,12,14,16,17,18,22,28,31,41,42,44,45,65,66,70,
71,75,94,112,116,123,126,129,172,195,200,225,267,277,289,294,297,298,384,386,
389,457,464,563,564,580,710,711,859,916],[1,3,4,5,10,12,14,18,19,22,23,25,26,
28,34,41,42,48,50,60,72,73,75,76,86,88,89,94,112,116,123,145,158,190,195,222,
246,269,289,294,301,316,322,323,388,389,406,483,492,563,564,610,713,714,859,
917],[1,3,4,5,10,12,14,18,20,22,24,25,26,28,41,42,47,48,54,61,73,74,75,82,84,
90,92,94,112,113,114,116,123,154,163,193,195,231,232,268,289,294,300,316,317,
327,387,389,409,488,495,563,564,609,712,715,859,918],[1,3,4,5,6,10,11,14,18,
19,22,23,25,26,28,29,32,34,37,39,42,45,48,49,54,59,72,73,75,76,86,88,89,95,
112,113,114,116,117,118,122,125,128,129,136,137,139,145,148,149,150,163,165,
190,196,207,223,229,230,267,268,269,289,291,299,301,304,316,321,324,325,330,
333,348,366,367,368,385,395,401,403,407,424,446,492,503,564,565,566,567,578,
599,603,606,711,714,715,716,728,774,820,860,864,865,919],[1,2,3,4,5,6,12,13,
16,18,21,22,23,24,25,26,27,28,29,30,31,32,37,41,44,46,47,50,57,60,61,62,71,74,
77,85,88,89,92,97,112,113,114,119,122,123,124,126,127,128,134,136,137,138,139,
143,154,157,158,159,161,164,165,191,201,208,215,216,221,245,248,267,268,269,
290,297,303,314,319,321,323,324,327,332,341,350,366,367,368,390,391,396,416,
425,431,435,436,446,494,502,563,565,566,567,593,597,598,619,710,712,713,716,
730,773,821,861,862,863,920],[1,2,4,6,7,8,9,10,11,12,13,14,15,17,18,30,32,33,
35,36,38,40,43,44,46,63,64,65,67,68,93,95,97,98,99,100,102,106,108,115,116,
117,121,122,123,125,131,133,134,135,167,168,202,213,214,216,217,224,233,238,
239,270,271,272,273,274,275,279,280,281,282,283,284,285,286,287,288,292,293,
296,298,308,311,358,369,385,390,402,450,452,453,456,460,543,575,579,581,582,
583,585,586,587,588,589,590,591,592,595,602,632,633,634,635,636,637,638,639,
640,719,806,823,824,825,826,827,828,829,830,831,921],[1,2,4,10,14,15,16,17,18,
22,28,38,42,45,63,64,65,66,67,68,70,71,75,112,116,129,130,132,166,167,168,169,
172,173,277,283,289,293,312,369,370,371,449,451,457,564,568,622,633,641,752,
776,922],[1,2,4,6,14,15,16,17,18,22,23,28,30,32,64,65,66,67,68,70,71,75,78,87,
112,115,117,119,121,122,128,139,165,166,168,169,172,173,176,183,269,274,275,
278,288,306,308,310,314,330,331,367,370,373,376,447,458,460,462,465,468,470,
566,571,622,644,645,646,752,787,819,842,875,923],[1,4,6,7,8,9,10,11,12,13,18,
32,41,42,45,49,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,122,123,129,134,195,211,221,223,225,226,227,230,241,351,352,353,354,
355,356,357,358,359,360,361,362,363,364,365,386,390,407,519,521,530,542,546,
623,624,625,626,627,628,629,630,631,670,686,755,822,843,844,845,924],[1,2,5,6,
7,8,9,10,11,12,13,27,30,31,33,35,36,37,38,40,43,44,46,50,51,52,53,54,55,56,57,
58,59,60,61,62,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
110,111,138,151,152,153,155,157,159,160,162,164,197,198,199,200,201,202,203,
204,205,206,208,209,212,213,214,216,217,218,219,224,229,231,233,234,236,237,
238,239,240,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,
258,259,260,261,262,263,264,265,266,351,352,353,354,355,356,357,358,359,360,
361,362,363,364,365,415,419,420,421,422,427,428,429,433,435,436,438,439,440,
442,443,444,445,518,520,523,524,525,527,528,529,533,534,535,536,537,538,539,
540,541,543,544,545,547,548,550,551,552,553,554,555,556,557,558,559,560,561,
562,623,624,625,626,627,628,629,630,631,687,689,690,695,696,697,703,706,707,
708,709,753,754,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,
772,822,853,854,856,857,858,876,877,878,925],[1,4,6,10,11,12,13,14,18,22,28,
32,41,42,75,94,95,97,104,107,112,116,117,122,123,125,134,139,165,195,221,223,
289,294,330,353,367,385,389,390,519,563,564,601,603,680,773,774,859,926],[1,2,
3,4,5,6,10,11,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,32,34,37,38,39,
40,43,45,49,51,52,53,54,59,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,89,90,91,92,95,115,116,117,118,119,120,121,122,124,
125,127,128,130,136,137,138,139,140,141,142,144,147,148,150,151,152,156,160,
166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,
185,186,187,188,189,190,191,192,193,194,196,213,218,229,230,272,274,275,276,
277,278,283,285,287,288,290,291,292,293,295,296,299,300,301,302,303,304,305,
306,307,308,309,310,313,314,315,318,319,320,321,324,325,326,328,329,330,331,
332,333,334,339,349,369,370,371,372,373,374,375,376,377,378,379,380,381,382,
383,385,398,401,405,408,428,447,448,450,451,454,455,458,459,460,461,462,463,
465,466,467,468,469,470,471,472,473,474,477,478,479,480,481,482,484,485,486,
487,489,490,493,497,498,501,502,503,506,510,512,517,568,569,570,571,572,573,
574,576,577,578,591,600,602,607,633,634,635,636,642,643,644,645,646,647,648,
651,654,655,656,657,660,661,666,669,717,720,721,725,727,736,741,776,777,778,
779,780,781,782,783,785,787,788,789,790,791,792,793,827,837,866,868,869,870,
883,884,886,927],[1,2,3,4,5,9,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
31,35,39,40,41,43,44,47,49,50,52,53,55,59,60,61,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,98,123,125,126,
135,140,141,142,143,150,151,152,154,156,157,158,159,161,162,166,167,168,169,
170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,
189,190,191,192,193,194,197,217,219,220,227,244,250,270,280,284,285,292,294,
295,296,297,298,313,317,318,322,323,325,327,328,336,342,349,350,369,370,371,
372,373,374,375,376,377,378,379,380,381,382,383,393,399,418,419,422,430,437,
456,463,464,483,484,486,487,489,493,494,495,496,497,500,504,505,511,512,514,
568,569,570,571,572,573,574,587,621,632,636,640,649,652,668,669,717,738,775,
781,782,784,786,790,795,823,867,869,879,889,892,928],[1,2,3,4,5,6,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,37,41,44,46,47,50,57,60,61,62,
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,
89,90,91,92,97,115,117,118,119,120,121,122,123,124,126,127,128,134,136,137,
138,139,143,154,157,158,159,161,164,166,167,168,169,170,171,172,173,174,175,
176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,
201,208,215,216,221,245,248,272,274,275,276,278,281,284,286,288,290,291,294,
297,298,299,302,303,304,305,306,307,308,309,310,311,314,315,317,319,320,321,
322,323,324,327,329,330,331,332,333,334,340,341,350,369,370,371,372,373,374,
375,376,377,378,379,380,381,382,383,390,391,396,416,425,431,435,436,447,448,
450,454,455,458,459,460,461,462,464,465,468,469,470,471,472,473,474,477,478,
479,480,481,482,483,490,494,495,496,498,500,502,503,504,506,507,509,514,515,
568,569,570,571,572,573,574,589,593,594,595,596,597,598,601,619,632,635,639,
642,643,644,645,646,647,648,651,654,656,657,660,661,666,668,717,726,729,730,
733,734,735,737,745,775,779,783,784,786,787,789,791,792,793,794,825,841,866,
867,880,887,888,929],[1,2,3,4,5,7,11,12,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,31,36,39,40,41,43,44,47,49,50,52,53,58,59,60,61,63,64,65,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,99,123,125,
126,131,140,141,142,143,150,151,152,154,155,156,157,158,159,161,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,199,211,212,214,228,247,251,273,282,284,287,292,
294,295,296,297,298,313,317,318,322,323,325,327,328,338,344,349,350,369,370,
371,372,373,374,375,376,377,378,379,380,381,382,383,392,397,411,413,427,429,
434,452,463,464,483,484,486,487,489,493,494,495,496,497,499,500,504,514,516,
517,568,569,570,571,572,573,574,579,618,632,634,638,659,664,668,669,717,740,
775,777,780,784,785,786,797,824,867,870,881,885,893,930],[1,2,3,4,5,8,10,12,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,31,33,34,38,41,44,45,47,50,51,54,56,
60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,92,100,116,123,126,130,133,143,144,147,148,153,154,157,158,159,
160,161,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,
183,184,185,186,187,188,189,190,191,192,193,194,198,209,210,224,226,243,249,
271,277,279,283,284,293,294,297,298,300,301,317,322,323,326,327,339,345,347,
350,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,394,400,415,
417,420,423,426,451,453,464,466,467,483,485,491,494,495,496,500,501,504,510,
513,514,568,569,570,571,572,573,574,590,620,632,633,637,655,662,667,668,717,
748,775,776,778,784,786,788,798,826,867,868,882,890,891,931],[1,2,3,4,5,8,10,
12,16,18,19,20,21,22,25,26,27,31,33,34,38,41,42,44,45,47,48,50,51,54,56,60,61,
69,71,72,84,85,86,90,94,96,100,110,123,126,129,130,132,143,144,145,146,147,
148,149,153,154,157,158,159,160,161,163,189,195,198,200,206,209,210,222,224,
225,226,231,232,234,243,246,249,255,263,297,312,317,322,335,337,339,343,346,
348,350,351,352,362,384,386,387,388,389,394,400,406,409,412,414,415,417,420,
421,423,426,432,445,500,508,518,520,521,524,531,548,556,560,580,584,609,610,
613,614,616,620,626,670,675,676,679,681,684,685,691,696,703,747,758,766,768,
800,802,803,804,805,813,815,843,857,871,900,910,914,932],[1,2,3,4,5,6,7,8,9,
10,11,12,13,16,18,19,20,21,22,25,26,27,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,69,71,72,84,85,
86,90,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,118,119,120,
122,124,126,129,130,132,136,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,189,195,196,
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,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,256,
257,258,259,260,261,262,263,264,265,266,276,299,312,314,315,319,333,334,335,
337,339,343,346,348,349,350,351,353,354,355,356,357,358,363,384,386,387,388,
389,391,392,393,394,395,396,397,398,399,400,401,403,404,405,406,407,408,409,
410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,
429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,498,508,
519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,
538,539,540,541,542,543,544,545,546,547,548,549,550,551,553,554,555,557,558,
580,584,604,605,606,607,608,609,610,611,613,614,615,616,618,619,620,621,623,
670,671,672,673,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,
690,691,692,693,694,695,696,697,698,699,700,701,702,704,705,706,707,708,709,
743,747,754,755,756,760,761,800,801,802,803,804,805,807,808,810,812,813,814,
815,816,817,818,844,846,847,848,849,851,852,854,855,871,873,902,906,907,909,
911,912,913,933],[1,2,5,8,10,12,15,27,31,33,38,44,50,51,54,56,60,61,63,87,91,
94,96,100,110,133,153,157,159,160,194,198,200,206,209,224,231,234,243,246,249,
255,263,271,279,283,284,345,347,351,352,362,415,420,421,445,491,510,513,514,
518,520,524,548,556,560,590,626,674,696,703,748,758,766,768,799,809,811,857,
874,904,934],[1,2,5,6,7,8,9,12,13,15,27,30,31,33,35,36,37,55,56,58,60,61,62,
63,87,91,93,96,97,101,103,105,115,131,133,135,138,153,155,157,162,194,201,202,
203,204,206,234,237,245,248,252,259,262,263,265,266,272,279,280,282,329,331,
336,338,342,344,345,347,352,355,361,402,433,436,438,444,445,506,511,513,516,
518,539,540,556,558,559,586,612,617,624,674,703,706,746,753,762,799,809,811,
850,853,874,901,905,908,935],[1,2,5,8,9,11,12,13,15,27,31,33,35,43,46,53,55,
56,57,59,60,61,62,63,87,91,96,98,103,106,107,109,133,151,153,157,162,164,194,
197,204,205,206,234,238,240,244,250,254,256,261,263,264,265,266,270,279,281,
287,345,347,352,356,359,419,438,439,440,445,505,509,513,517,518,534,537,553,
556,561,581,625,674,703,707,739,759,764,765,799,809,811,856,874,903,936],[1,2,
5,7,8,11,12,13,15,27,31,33,36,40,46,52,56,57,58,59,60,61,62,63,87,91,96,99,
105,107,108,111,133,152,153,155,157,164,194,199,203,205,206,233,234,236,247,
251,253,256,259,260,262,263,264,273,279,285,286,345,347,352,354,360,429,440,
443,444,445,499,512,513,515,518,535,538,555,556,562,582,627,674,703,709,744,
757,763,767,799,809,811,858,874,899,937],[1,2,3,4,5,10,12,14,16,17,18,19,20,
21,22,23,24,25,26,27,28,31,34,41,42,44,45,47,48,50,54,60,61,65,66,69,70,71,72,
73,74,75,76,77,79,80,81,82,84,85,86,88,89,90,92,94,112,113,114,116,123,126,
129,143,145,148,149,154,157,158,159,161,163,170,172,174,180,185,186,187,189,
190,191,193,195,200,222,225,231,232,246,267,268,269,277,289,294,297,298,300,
301,316,317,322,323,327,348,350,378,384,386,387,388,389,406,409,412,414,421,
432,446,457,464,466,475,483,488,492,494,495,496,500,504,563,564,580,584,609,
610,613,614,616,665,668,710,711,712,713,714,715,747,820,821,859,916,917,918,
938],[1,2,4,6,7,8,9,10,11,12,13,14,15,16,17,18,22,30,31,32,33,35,36,38,40,41,
43,44,45,46,49,63,64,65,66,67,68,70,71,75,93,95,97,98,99,100,102,106,108,115,
116,117,119,121,122,123,125,126,130,131,133,134,135,139,142,166,167,168,169,
172,173,197,198,199,201,202,211,213,214,216,217,221,224,226,227,230,233,238,
239,270,271,272,273,274,275,277,278,279,280,281,282,283,284,285,286,287,288,
292,293,294,295,296,297,298,306,308,311,314,330,358,369,370,371,385,390,392,
394,396,399,402,408,447,450,451,452,453,456,458,460,463,464,465,470,527,542,
543,568,575,576,579,581,582,583,585,586,587,588,589,590,591,592,593,595,601,
602,632,633,634,635,636,637,638,639,640,645,647,702,719,720,734,775,776,779,
780,781,806,823,824,825,826,827,828,829,830,831,879,880,881,882,884,921,939],[
1,2,4,5,6,7,8,9,10,11,12,13,14,15,17,18,20,23,24,26,27,30,32,33,35,36,37,38,
40,43,44,46,50,51,52,53,54,55,56,57,58,59,61,62,63,64,65,67,68,79,81,82,83,84,
87,89,91,93,95,97,98,99,100,102,106,108,115,116,117,120,121,122,123,125,127,
128,131,133,134,135,137,138,151,152,153,155,159,160,162,164,167,168,175,177,
183,186,188,192,194,202,208,209,212,213,214,216,217,218,219,224,229,233,236,
237,238,239,240,242,245,249,250,251,258,260,261,270,271,272,273,274,275,279,
280,281,282,283,284,285,286,287,288,292,293,296,298,300,302,307,308,309,311,
313,315,317,318,320,321,323,326,328,329,331,336,338,340,341,342,344,345,347,
358,369,373,374,380,382,385,390,402,415,422,427,428,433,435,439,442,443,450,
452,453,456,459,460,461,468,479,480,482,484,485,491,497,499,504,505,506,507,
509,510,511,512,513,514,515,516,517,525,543,545,574,575,577,579,581,582,583,
585,586,587,588,589,590,591,592,594,595,597,600,602,612,617,632,633,634,635,
636,637,638,639,640,646,648,649,652,659,660,662,664,666,667,695,719,729,732,
736,738,739,740,741,742,744,745,746,748,749,750,751,784,785,788,790,792,794,
795,797,798,806,823,824,825,826,827,828,829,830,831,832,833,872,886,888,890,
892,893,894,896,897,898,921,940],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,17,18,
19,21,23,24,25,29,30,32,33,34,35,36,37,38,39,40,43,44,46,47,51,52,53,60,63,64,
65,67,68,72,74,76,78,80,83,93,95,97,98,99,100,102,106,108,115,116,117,118,121,
122,123,124,125,127,128,131,133,134,135,136,140,141,144,161,167,168,170,176,
178,182,196,202,210,213,214,215,216,217,218,220,224,228,233,238,239,243,244,
247,248,270,271,272,273,274,275,279,280,281,282,283,284,285,286,287,288,290,
292,293,296,298,299,301,304,305,308,310,311,318,320,322,325,326,327,328,358,
369,375,376,385,390,398,402,413,416,423,430,448,450,452,453,456,460,462,471,
473,486,493,496,501,522,541,543,569,575,578,579,581,582,583,585,586,587,588,
589,590,591,592,595,596,598,600,602,632,633,634,635,636,637,638,639,640,643,
644,705,719,727,735,777,778,782,783,786,806,823,824,825,826,827,828,829,830,
831,883,885,887,889,891,921,941],[1,2,3,4,5,10,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,34,38,42,45,48,51,54,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,112,116,129,130,132,144,145,
146,147,148,149,160,163,166,167,168,169,170,171,172,173,174,175,176,177,178,
179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,269,277,283,
289,293,300,301,312,316,326,335,337,339,343,346,348,369,370,371,372,373,374,
375,376,377,378,379,380,381,382,383,449,451,457,466,467,475,476,485,488,492,
501,508,510,564,568,569,570,571,572,573,574,622,633,641,650,653,655,658,663,
665,714,717,752,776,778,788,796,842,868,922,942],[1,2,6,7,8,9,10,11,12,13,15,
30,31,33,35,36,38,40,43,44,46,63,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,115,131,133,135,197,198,199,200,201,202,203,204,205,
206,213,214,216,217,224,233,238,239,270,271,272,273,279,280,281,282,283,284,
285,286,287,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,402,
518,523,524,527,528,529,534,536,538,540,543,575,579,581,582,583,585,586,587,
588,589,590,591,592,623,624,625,626,627,628,629,630,631,674,753,757,758,759,
760,799,806,822,850,876,899,901,903,904,943],[1,3,4,5,6,7,8,9,10,11,12,13,18,
19,25,29,32,34,37,39,41,42,45,47,48,49,54,55,56,58,59,60,61,62,72,93,94,95,96,
97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,118,122,123,129,134,
136,145,148,149,150,154,163,195,196,207,210,211,215,220,221,222,223,225,226,
227,228,229,230,231,232,234,235,237,241,245,248,249,250,251,252,256,257,258,
259,260,261,262,263,265,266,299,322,348,351,352,353,354,355,356,357,358,359,
360,361,362,363,364,365,386,388,390,395,401,403,407,409,411,412,414,417,418,
424,431,441,519,520,521,522,526,530,531,532,533,535,537,539,542,545,546,549,
550,554,556,558,559,596,606,614,623,624,625,626,627,628,629,630,631,670,672,
681,683,685,686,688,693,701,704,754,755,756,762,763,764,766,802,810,822,843,
844,845,846,849,878,902,910,924,944],[1,2,4,6,7,8,9,10,11,12,13,16,18,22,30,
31,32,33,35,36,38,40,41,42,43,44,45,46,49,71,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,119,122,123,126,129,130,132,134,139,142,
195,197,198,199,200,201,202,203,204,205,206,211,213,214,216,217,221,223,224,
225,226,227,230,233,238,239,241,297,312,314,351,352,353,354,355,356,357,358,
359,360,361,362,363,364,365,384,386,389,390,392,394,396,399,404,407,408,518,
519,521,523,524,527,528,529,530,534,536,538,540,542,543,546,580,593,605,623,
624,625,626,627,628,629,630,631,670,671,675,676,677,680,686,702,753,755,757,
758,759,760,800,808,822,843,844,845,847,848,876,900,911,924,945],[1,4,5,6,7,8,
9,10,11,12,13,18,20,26,32,37,41,42,45,49,50,51,52,53,55,56,57,58,60,61,62,84,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,120,122,
123,129,134,137,146,147,156,158,195,208,209,211,212,218,219,221,223,225,226,
227,230,234,236,237,240,241,242,243,244,245,246,247,248,252,253,254,255,259,
262,263,264,265,266,315,317,340,343,351,352,353,354,355,356,357,358,359,360,
361,362,363,364,365,386,387,390,405,406,407,410,425,426,434,437,519,521,525,
530,539,541,542,544,546,547,548,551,552,553,555,556,557,558,559,560,561,562,
594,611,613,623,624,625,626,627,628,629,630,631,670,673,679,682,684,686,698,
699,755,761,762,765,767,768,769,770,771,772,813,816,822,843,844,845,851,852,
877,912,914,915,924,946],[1,2,4,6,10,11,12,13,14,16,17,18,22,28,30,31,32,41,
42,44,45,46,49,65,66,70,71,75,94,95,97,104,107,112,116,117,119,121,122,123,
125,126,129,134,139,165,172,195,200,201,205,216,221,223,225,230,241,267,275,
277,278,289,294,295,297,298,306,311,314,330,353,367,384,385,386,389,390,396,
407,457,464,470,519,528,546,563,564,567,576,580,593,595,601,603,671,680,686,
710,711,723,734,773,774,808,859,863,864,916,926,947],[1,3,4,5,6,10,11,12,13,
14,18,19,22,23,25,26,28,29,32,34,37,39,41,42,48,50,57,60,72,73,75,76,86,88,89,
94,95,97,104,107,112,116,117,118,122,123,125,128,134,136,137,139,145,158,165,
190,195,196,207,208,221,222,223,235,246,248,264,269,289,291,294,299,301,304,
316,321,322,323,324,325,330,333,341,353,367,385,388,389,390,395,406,425,483,
492,503,519,526,547,563,564,566,578,596,597,599,601,603,610,672,680,682,713,
714,728,737,773,774,814,859,861,865,917,926,948],[1,3,4,5,6,10,11,12,13,14,18,
20,22,24,25,26,28,29,32,37,41,42,47,48,54,59,61,62,73,74,75,82,84,90,92,94,95,
97,104,107,112,113,114,116,117,120,122,123,125,127,134,136,137,139,154,163,
165,193,195,207,215,221,223,229,231,232,245,256,257,268,289,290,291,294,300,
307,313,315,316,317,327,330,332,334,340,353,366,367,368,385,387,389,390,409,
424,431,488,490,495,519,532,533,563,564,565,577,594,598,599,601,603,609,673,
680,683,712,715,731,733,773,774,807,859,860,862,918,926,949],[1,2,4,6,10,11,
14,15,16,17,18,22,28,30,32,38,40,42,43,45,49,63,64,65,66,67,68,70,71,75,95,
112,115,116,117,119,121,122,125,129,130,132,139,142,165,166,167,168,169,172,
173,213,223,230,272,274,275,277,278,283,285,287,288,289,292,293,295,296,306,
308,312,314,330,367,369,370,371,385,404,407,408,447,449,450,451,457,458,460,
463,465,470,564,568,576,591,602,603,605,622,633,634,635,636,641,645,647,718,
720,723,752,774,776,779,780,781,819,827,839,875,884,922,950],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,30,31,32,33,34,35,
36,37,38,39,40,41,43,44,45,46,47,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
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,
90,91,92,93,95,97,98,99,100,102,106,108,115,116,117,118,119,120,121,122,123,
124,125,126,127,128,130,131,133,134,135,136,137,138,139,140,141,142,143,144,
147,148,150,151,152,153,154,155,156,157,158,159,160,161,162,164,166,167,168,
169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,
188,189,190,191,192,193,194,196,197,198,199,201,202,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,224,226,227,228,229,230,233,236,237,238,239,
240,242,243,244,245,247,248,249,250,251,258,260,261,270,271,272,273,274,275,
276,277,278,279,280,281,282,283,284,285,286,287,288,290,291,292,293,294,295,
296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,313,314,315,
317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,336,
338,339,340,341,342,344,345,347,349,350,358,369,370,371,372,373,374,375,376,
377,378,379,380,381,382,383,385,390,391,392,393,394,396,397,398,399,400,401,
402,405,408,411,413,415,416,417,418,419,420,422,423,425,426,427,428,429,430,
431,433,434,435,436,437,439,442,443,447,448,450,451,452,453,454,455,456,458,
459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,477,478,479,
480,481,482,483,484,485,486,487,489,490,491,493,494,495,496,497,498,499,500,
501,502,503,504,505,506,507,509,510,511,512,513,514,515,516,517,522,525,527,
541,542,543,545,568,569,570,571,572,573,574,575,576,577,578,579,581,582,583,
585,586,587,588,589,590,591,592,593,594,595,596,597,598,600,601,602,607,612,
617,618,619,620,621,632,633,634,635,636,637,638,639,640,642,643,644,645,646,
647,648,649,651,652,654,655,656,657,659,660,661,662,664,666,667,668,669,678,
688,695,697,699,702,705,717,719,720,721,725,726,727,729,730,732,733,734,735,
736,737,738,739,740,741,742,744,745,746,748,749,750,751,775,776,777,778,779,
780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,797,798,806,
817,823,824,825,826,827,828,829,830,831,832,833,837,841,866,867,868,869,870,
872,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,896,897,
898,921,927,928,929,930,931,939,940,941,951],[1,2,5,6,7,8,9,10,11,12,13,15,27,
30,31,33,35,36,37,38,40,43,44,46,50,51,52,53,54,55,56,57,58,59,60,61,62,63,87,
91,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,115,
131,133,135,138,151,152,153,155,157,159,160,162,164,194,197,198,199,200,201,
202,203,204,205,206,208,209,212,213,214,216,217,218,219,224,229,231,233,234,
236,237,238,239,240,242,243,244,245,246,247,248,249,250,251,252,253,254,255,
256,257,258,259,260,261,262,263,264,265,266,270,271,272,273,279,280,281,282,
283,284,285,286,287,329,331,336,338,342,344,345,347,351,352,353,354,355,356,
357,358,359,360,361,362,363,364,365,402,415,419,420,421,422,427,428,429,433,
435,436,438,439,440,442,443,444,445,491,499,505,506,509,510,511,512,513,514,
515,516,517,518,520,523,524,525,527,528,529,533,534,535,536,537,538,539,540,
541,543,544,545,547,548,550,551,552,553,554,555,556,557,558,559,560,561,562,
575,579,581,582,583,585,586,587,588,589,590,591,592,612,617,623,624,625,626,
627,628,629,630,631,674,687,689,690,695,696,697,703,706,707,708,709,732,738,
739,740,741,742,744,745,746,748,749,750,751,753,754,757,758,759,760,761,762,
763,764,765,766,767,768,769,770,771,772,799,806,809,811,822,850,853,854,856,
857,858,872,874,876,877,878,899,901,903,904,905,908,925,934,935,936,937,943,
952],[1,2,3,4,5,6,7,8,9,10,11,12,13,16,18,19,20,21,22,25,26,27,29,30,31,32,33,
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,
60,61,62,69,71,72,84,85,86,90,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,118,119,120,122,123,124,126,129,130,132,134,136,137,
138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,
157,158,159,160,161,162,163,164,189,195,196,197,198,199,200,201,202,203,204,
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,
262,263,264,265,266,276,297,299,312,314,315,317,319,322,333,334,335,337,339,
340,343,346,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,
364,365,384,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,
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,
441,442,443,444,445,498,500,508,518,519,520,521,522,523,524,525,526,527,528,
529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,
548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,580,584,593,594,
596,604,605,606,607,608,609,610,611,613,614,615,616,618,619,620,621,623,624,
625,626,627,628,629,630,631,670,671,672,673,675,676,677,678,679,680,681,682,
683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,
702,703,704,705,706,707,708,709,726,743,747,753,754,755,756,757,758,759,760,
761,762,763,764,765,766,767,768,769,770,771,772,800,801,802,803,804,805,807,
808,810,812,813,814,815,816,817,818,822,843,844,845,846,847,848,849,851,852,
853,854,855,856,857,858,871,873,876,877,878,900,902,906,907,909,910,911,912,
913,914,915,924,925,932,933,944,945,946,953],[1,2,3,4,5,6,10,11,12,13,14,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,37,39,41,42,44,45,46,47,48,
49,50,54,57,59,60,61,62,65,66,69,70,71,72,73,74,75,76,77,79,80,81,82,84,85,86,
88,89,90,92,94,95,97,104,107,112,113,114,116,117,118,119,120,121,122,123,124,
125,126,127,128,129,134,136,137,138,139,143,145,148,149,150,154,157,158,159,
161,163,164,165,170,172,174,180,185,186,187,189,190,191,193,195,196,200,201,
205,207,208,215,216,221,222,223,225,229,230,231,232,235,241,245,246,248,256,
257,264,267,268,269,275,276,277,278,289,290,291,294,295,297,298,299,300,301,
302,303,304,305,306,307,309,311,313,314,315,316,317,319,321,322,323,324,325,
327,330,332,333,334,340,341,348,350,353,366,367,368,378,384,385,386,387,388,
389,390,391,395,396,401,403,406,407,409,412,414,416,421,424,425,431,432,435,
436,440,441,446,448,455,457,464,466,470,472,474,475,478,480,483,488,489,490,
492,494,495,496,498,500,502,503,504,507,519,526,528,532,533,546,547,563,564,
565,566,567,576,577,578,580,584,593,594,595,596,597,598,599,601,603,606,609,
610,613,614,616,619,651,665,668,671,672,673,680,682,683,686,690,693,700,701,
710,711,712,713,714,715,716,722,723,725,726,728,729,730,731,733,734,735,737,
747,773,774,801,807,808,810,812,814,816,820,821,834,841,859,860,861,862,863,
864,865,873,916,917,918,919,920,926,938,947,948,949,954],[1,2,3,4,5,6,10,11,
14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,34,37,38,39,40,42,43,45,
48,49,51,52,53,54,59,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,95,112,115,116,117,118,119,120,121,122,124,
125,127,128,129,130,132,136,137,138,139,140,141,142,144,145,146,147,148,149,
150,151,152,156,160,163,165,166,167,168,169,170,171,172,173,174,175,176,177,
178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,196,207,
213,218,223,229,230,269,272,274,275,276,277,278,283,285,287,288,289,290,291,
292,293,295,296,299,300,301,302,303,304,305,306,307,308,309,310,312,313,314,
315,316,318,319,320,321,324,325,326,328,329,330,331,332,333,334,335,337,339,
343,346,348,349,367,369,370,371,372,373,374,375,376,377,378,379,380,381,382,
383,385,395,398,401,403,404,405,407,408,410,424,428,447,448,449,450,451,454,
455,457,458,459,460,461,462,463,465,466,467,468,469,470,471,472,473,474,475,
476,477,478,479,480,481,482,484,485,486,487,488,489,490,492,493,497,498,501,
502,503,506,508,510,512,517,564,566,568,569,570,571,572,573,574,576,577,578,
591,599,600,602,603,604,605,606,607,608,611,615,622,633,634,635,636,641,642,
643,644,645,646,647,648,650,651,653,654,655,656,657,658,660,661,663,665,666,
669,714,717,718,720,721,722,723,724,725,727,728,731,736,741,743,752,774,776,
777,778,779,780,781,782,783,785,787,788,789,790,791,792,793,796,819,827,834,
835,836,837,838,839,840,842,865,866,868,869,870,875,883,884,886,895,922,923,
927,942,950,955],[1,2,4,8,10,12,14,15,16,17,18,22,28,31,33,38,41,42,44,45,63,
64,65,66,67,68,70,71,75,94,96,100,110,112,116,123,126,129,130,132,133,166,167,
168,169,172,173,195,198,200,206,224,225,226,267,271,277,279,283,284,289,293,
294,297,298,312,351,352,362,369,370,371,384,386,389,394,449,451,453,457,464,
518,521,524,563,564,568,580,590,622,626,632,633,637,641,670,674,675,676,710,
711,752,758,775,776,799,800,826,843,859,882,900,904,916,922,956],[1,2,3,4,5,8,
10,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,33,34,38,41,42,44,45,47,
48,50,51,54,56,60,61,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,94,96,100,110,112,113,114,116,123,126,129,
130,132,133,143,144,145,146,147,148,149,153,154,157,158,159,160,161,163,166,
167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,
186,187,188,189,190,191,192,193,194,195,198,200,206,209,210,222,224,225,226,
231,232,234,243,246,249,255,263,267,268,269,271,277,279,283,284,289,293,294,
297,298,300,301,312,316,317,322,323,326,327,335,337,339,343,345,346,347,348,
350,351,352,362,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,
384,386,387,388,389,394,400,406,409,412,414,415,417,420,421,423,426,432,445,
446,449,451,453,457,464,466,467,475,476,483,485,488,491,492,494,495,496,500,
501,504,508,510,513,514,518,520,521,524,531,548,556,560,563,564,568,569,570,
571,572,573,574,580,584,590,609,610,613,614,616,620,622,626,632,633,637,641,
650,653,655,658,662,663,665,667,668,670,674,675,676,679,681,684,685,691,696,
703,710,711,712,713,714,715,717,747,748,752,758,766,768,775,776,778,784,786,
788,796,798,799,800,802,803,804,805,809,811,813,815,820,821,826,842,843,857,
859,867,868,871,874,882,890,891,900,904,910,914,916,917,918,922,931,932,934,
938,942,956,957],[1,2,4,6,7,8,9,10,11,12,13,14,15,16,17,18,22,28,30,31,32,33,
35,36,38,40,41,42,43,44,45,46,49,63,64,65,66,67,68,70,71,75,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,109,110,111,112,115,116,117,119,121,
122,123,125,126,129,130,131,132,133,134,135,139,142,165,166,167,168,169,172,
173,195,197,198,199,200,201,202,203,204,205,206,211,213,214,216,217,221,223,
224,225,226,227,230,233,238,239,241,267,270,271,272,273,274,275,277,278,279,
280,281,282,283,284,285,286,287,288,289,292,293,294,295,296,297,298,306,308,
311,312,314,330,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,
367,369,370,371,384,385,386,389,390,392,394,396,399,402,404,407,408,447,449,
450,451,452,453,456,457,458,460,463,464,465,470,518,519,521,523,524,527,528,
529,530,534,536,538,540,542,543,546,563,564,567,568,575,576,579,580,581,582,
583,585,586,587,588,589,590,591,592,593,595,601,602,603,605,622,623,624,625,
626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,645,647,670,
671,674,675,676,677,680,686,702,710,711,718,719,720,723,734,752,753,755,757,
758,759,760,773,774,775,776,779,780,781,799,800,806,808,819,822,823,824,825,
826,827,828,829,830,831,839,843,844,845,847,848,850,859,863,864,875,876,879,
880,881,882,884,899,900,901,903,904,911,916,921,922,924,926,939,943,945,947,
950,956,958],[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,
520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,
539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,
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]],
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],[
1,3,1],[1,1,1],[1,2,1,1],[1,1,2,1],[1,3,1],[1,2,1,1],[1,1,1],[1,1,1,1,1],[1,1,
1],[1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,1],[1,3,1,1],[1,1,1,
1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,
1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[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],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[
1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,
1],[1,3,1,1],[1,1,3,1],[1,1,6,4,3,1],[1,1,6,3,4,1],[1,3,4,1,3,3,1],[1,1,2,2,1,
1],[1,1,4,1,2,1],[1,2,2,1,1,1,1,1],[1,1,2,1,2,1],[1,2,3,1,1,1,1],[1,3,3,1,1,3,
3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,5,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,
2,1,1,1,1],[1,1,2,1,2,1],[1,1,2,1,1,1,1],[1,1,2,2,2,1,1,2,1,2,1],[1,1,2,4,1,2,
2,2,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,1,3,1,2,1,1,2,
1],[1,2,1,2,1,1,1,1],[1,1,1,1],[1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1,
1,1],[1,1,4,1,2,1],[1,1,4,1,1,1,1],[1,1,1,1,1,1],[1,2,2,1],[1,1,1,2,1],[1,1,3,
1],[1,1,1,2,1],[1,2,1,1,1],[1,2,1,1,1],[1,2,1,1,1],[1,1,3,1],[1,1,1,1,1,1],[1,
1,1,2,1],[1,1,1,2,1],[1,1,1,2,1],[1,1,1,1,1,1],[1,2,1,1,1],[1,1,1,1,1,1],[1,1,
1],[1,1,1],[1,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,
3,1,1,3,1],[1,6,1,1,3,2,1,1],[1,2,1,1,1,2,1,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,
1],[1,3,1,1,3,1],[1,3,4,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,1],[1,4,3,1,3,1,1,
1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,7,1,3,2,1,1],[1,2,1,1,1,2,1,1],[1,1,1,
1,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,3,1,3,1,3,1,1,
1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[
1,1,3,3,1,3,1,1,1,1],[1,2,1,1,1,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,
1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,3,1,3,1,3,1,1,1,
1],[1,2,1,1,1,1,2,1],[1,3,1,3,1,3,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,6,1,3,1,1,
1,1],[1,1,6,1,3,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,1,
1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,6,1,3,1,
1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,
3,1,1,1,1],[1,1,1,1],[1,5,10,10,10,15,5,10,1],[1,1,6,4,3,1,3,3,1],[1,1,10,4,2,
5,4,1,1,1,4,1],[1,1,6,4,3,4,1,2,1],[1,1,4,6,4,3,4,6,4,6,12,1,4,4,6,1],[1,3,4,
1,3,3,1,3,1,3,3,1],[1,3,8,1,3,5,4,2,1,1,1,2,2,1],[1,3,4,1,2,3,3,2,1,1,1,1],[1,
3,2,4,6,1,3,3,1,6,3,6,6,6,1,2,3,3,6,1],[1,1,2,8,2,1,4,4,4,1,2,4,1],[1,1,6,3,4,
4,1,2,1],[1,1,2,2,1,2,2,1,2,1],[1,1,2,2,2,2,1,1,2,2,1,2,1,1,1,1],[1,3,4,4,1,3,
3,2,2,2,2,1,2,1,1,2,1],[1,1,2,2,6,1,1,2,2,3,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,3,
1,1,1,1],[1,1,2,6,2,4,3,1,2,2,1,2,1,2,1,1,2,1],[1,1,2,2,1,1,2,1],[1,1,2,4,1,2,
2,2,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,2,2,1,1,2,1,1,1,2,2,1],[1,1,6,4,3,4,1,1,2,2,
2,1,1,1,2,2,1],[1,3,2,4,2,1,3,3,1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,6,4,4,3,1,1,
2,2,2,1,1,1,2,2,1],[1,2,3,3,3,1,1,3,1,2,1,3,1,2,1,1,1,1,1,1,1,1],[1,3,5,3,1,1,
3,1,1,5,3,1,1,1,1,1,1,1,1],[1,2,1,3,5,1,1,2,1,1,3,3,1,2,1,1,1,1,1,1,1,1],[1,1,
4,4,1,2,2,1,1,1,1],[1,1,5,5,1,1,1,1,3,5,3,1,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,
1],[1,9,2,2,6,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,
1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,3,1,1,1],[1,1,1,1,1,1,1,
1,1,1,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,1,
3,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,2,1,1,3,3,6,1,1],[1,
3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,9,2,1,1,3,3,6,1,1],[1,1,1,1,2,1,1,1,1,
1,1],[1,1,2,1,1,2,1,1,1,1],[1,3,1,1,2,1,3,1,1],[1,1,1,1,2,1,1,2,1,1],[1,1,2,1,
1,2,1,1,1,1],[1,9,1,1,2,3,3,3,3,1,1],[1,9,2,1,1,3,3,6,1,1],[1,3,2,1,1,1,3,1,
1],[1,3,1,1,2,3,1,1,1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,3,1,1,1],[1,1,2,1,1,2,1,1,
1,1],[1,3,2,2,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,
1,1],[1,9,1,1,2,3,3,6,1,1],[1,1,1,1,2,1,1,2,1,1],[1,9,2,2,6,6,1,1],[1,1,2,2,2,
2,1,1],[1,1,1,1,1,1,1,1,1,1,1,1],[1,9,1,3,3,9,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,
1,1,1,3,3,3,3,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,
1,1,1,1,1,1,1,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,1,1,1,
3,3,3,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,
3,2,2,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,2,1,1,3,6,3,1,1],[
1,9,2,1,1,6,3,3,1,1],[1,9,2,1,1,6,3,3,1,1],[1,9,1,3,3,9,1,1],[1,9,1,3,1,1],[1,
9,1,3,1,1],[1,9,1,3,1,1],[1,9,2,1,1,6,3,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,1,1,
1,1,3,3,3,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,9,1,1,1,1,3,
3,3,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,3,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,1,
1,2,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,5,5,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,5,5,
1,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,1,3,1,1,3,1],[1,1,4,3,4,1,1],[1,1,
6,1,4,3,1,6,1,4,3,1],[1,1,6,1,3,4,1,6,1,3,4,1],[1,2,6,1,1,1,3,3,2,2,1,3,1,1,1,
1],[1,3,4,4,1,3,3,4,1,1,1],[1,3,4,1,1,3,3,3,4,1,1,3,3,1],[1,1,1,3,1,1,3,1],[1,
1,1,3,1,1,3,1],[1,1,4,3,4,1,1],[1,1,1,3,1,1,3,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,
1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,2,1,2,1,1,2,1,2,1,1],[
1,9,4,1,3,3,4,3,1,1],[1,3,3,9,1,1,9,9,1,3,3,3,1,3,3,1],[1,3,3,9,1,1,9,9,1,3,3,
3,1,3,3,1],[1,1,6,4,4,3,4,1,1,1],[1,1,6,4,4,3,4,1,1,1],[1,9,4,3,1,3,4,3,1,1],[
1,3,4,4,1,3,3,4,1,1,1],[1,1,6,4,4,3,4,1,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,1,6,4,
3,4,4,1,1,1],[1,9,3,3,1,1,9,9,3,3,1,3,3,1,3,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,
4,1,3,3,4,3,1,1],[1,1,2,1,1,3,3,1,2,3,1,1,1,1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,
1],[1,6,3,1,1,3,3,2,3,3,1,1,1,1],[1,1,6,2,6,1,1,3,6,3,6,2,1,2,2,3,1,1,2,1,2,
1],[1,1,2,1,1,2,1,2,1,1,2,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,1,4,1,1,2,1,4,1,
1,2,1],[1,1,2,12,1,1,6,6,6,1,2,4,3,1,2,2,2,1],[1,1,2,1,1,6,1,2,3,1,2,1],[1,1,
6,4,3,4,4,1,1,1],[1,2,7,1,1,3,3,2,2,1,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,2,
3,1,1,1,1,2,3,1,1,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,2,3,1,9,1,1,6,3,3,6,1,2,
1,3,3,1,2,1,1,2,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,
1],[1,3,3,1,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,1,3,1,1,3,3,1,1,1,3,
1,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,
1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,5,1,1,1,1,5,1,1,1,
1,1],[1,1,1,1,1,3,1,1],[1,1,12,1,1,3,3,1,4,3,1,1,1,1],[1,6,1,6,1,3,1,3,2,1,2,
3,1,1,1,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,3,1,3,1,1,3,3,1,1,1,3,1,1,1,
1],[1,1,1,1,1,3,1,1],[1,2,2,1,1,1,1,1,2,1,2,1,1,1,1,1],[1,1,12,1,1,6,1,4,3,1,
2,1],[1,2,3,1,9,1,1,6,3,3,6,1,2,1,2,1,3,1,2,1,1,2,1],[1,3,6,4,1,3,3,4,3,1,1],[
1,3,6,4,1,3,3,4,3,1,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,7,6,1,3,1,3,2,1,2,3,1,1,
1,1],[1,1,1,1,1,3,1,1],[1,1,1,1,1,3,1,1],[1,2,1,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,
1,12,1,1,6,1,4,3,1,2,1],[1,5,7,3,1,3,7,9,1,2,1,2,1,3,1,2,1,1,2,1],[1,2,3,1,9,
1,1,6,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,4,1,3,7,1,3,4,3,3,6,1,1,1,1,1,
1,1,3,1,1,1,1,1,1,1,1],[1,4,3,6,3,4,6,1],[1,1,12,4,1],[1,1,2,4,2,4,1,2,2,4,4,
1],[1,3,1,3,3,3,1,3,3,3,3,1],[1,1,1,1,1,3,6,1,1,3,2,3,3,1],[1,1,3,3,3,3,1,3,3,
3,3,1],[1,2,2,2,1,2,4,1,1,1,4,2,2,2,1],[1,1,2,2,2,1,2,1,2,2,1,1,1,1,1,2,2,2,
1],[1,1,3,1,3,1],[1,1,3,1,3,1],[1,1,3,9,1,3,1],[1,1,3,1,3,1],[1,1,2,1,1,2,1,5,
1,2,1,1,2,1,2,1,2,1],[1,1,1,1,1,1,1,1,1,1],[1,1,3,1,1,1,1,1],[1,3,1,1,1,3,1,
1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,1,18,12,6,9,12,2,3,3,9,18,6,9,1],[
1,5,14,10,2,10,17,4,4,5,1,10,1,4,2,4,4,1,1,1,2,2,1],[1,1,10,4,2,5,4,8,1,1,1,4,
4,1,2,1],[1,5,2,10,6,10,10,15,1,1,6,3,3,6,6,6,5,10,1,2,3,3,3,3,3,3,3,6,6,1,1,
1,3,3,3,3,1],[1,1,10,4,2,5,4,1,1,1,4,4,1,2,1],[1,1,10,8,4,2,5,4,2,2,4,4,4,1,1,
1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,4,10,4,4,2,5,4,6,4,4,6,12,1,1,1,4,4,4,4,2,
6,4,1,1,1,2,2,1],[1,1,10,4,2,5,4,8,1,1,1,4,4,1,2,1],[1,3,2,4,10,1,2,3,3,1,6,2,
2,5,6,8,8,1,1,1,2,2,1,3,4,2,6,2,4,2,1,1,1,1,1,1,1,1],[1,3,4,8,8,1,3,5,4,6,1,8,
2,1,8,16,6,6,1,1,1,1,2,4,2,4,2,1,1,1,8,3,1,2,6,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,1],[1,1,2,6,6,4,3,1,1,2,4,3,3,2,2,2,1,2,2,1,1,1,1,2,4,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,6,4,3,2,2,1,3,3,2,2,1,1,1,1],[1,3,2,4,2,1,2,3,3,1,2,2,2,4,1,2,1,1,1,1,
1,1,3,4,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,4,3,4,4,4,1,3,3,2,2,4,1,1,1,2,2,1],[
1,3,8,4,1,3,5,4,1,2,5,2,2,2,1,1,1,2,2,2,4,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,6,9,2,
2,9,2,6,6,6,1,6,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,15,2,2,9,6,8,6,1,6,1,2,
1],[1,9,2,2,9,6,6,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,
1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,3,9,1,1,2,9,1,3,1,3,3,3,6,1,3,3,1,1,1,1],[1,
4,3,2,1,1,3,1,2,3,1,1,1,3,1,1,3,1,1,1,1],[1,3,3,9,2,1,1,9,1,1,3,3,3,3,6,1,3,3,
1,1,1,1],[1,4,3,2,1,1,3,1,2,4,1,1,3,1,1,3,1,1,1,1],[1,12,3,1,1,2,9,4,3,3,6,1,
3,1,3,3,1,1,1,1],[1,4,3,1,1,2,3,4,1,3,1,1,2,1,3,1,1,1,1,1],[1,3,3,9,2,1,1,9,1,
1,3,3,3,3,6,1,3,3,1,1,1,1],[1,1,9,9,1,1,2,9,3,1,3,3,1,6,1,1,3,3,3,1,3,3,3,3,1,
1,1,1],[1,4,3,2,1,1,3,1,2,1,1,3,1,3,1,1,3,1,1,1,1],[1,3,3,9,2,1,1,9,1,1,3,3,3,
3,6,1,3,3,1,1,1,1],[1,9,1,9,1,1,2,9,3,1,3,3,6,1,2,3,6,1,3,3,6,1,1,1,1],[1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,1,1,1,2,3,2,1,1,6,2,1,1,3,2,1,1],[1,1,1,1,
2,3,1,1,2,1,1,3,1,1],[1,1,18,1,1,2,9,1,6,1,2,6,6,6,1,3,3,6,2,1,1],[1,9,6,2,2,
9,6,6,2,6,1,6,1,2,1],[1,7,1,1,2,3,7,2,1,2,1,3,1,2,1,1],[1,2,1,1,1,2,1,2,1,2,2,
2,1,2,1,1,1,2,2,1,1],[1,1,9,9,2,2,9,6,6,2,2,6,6,1,6,6,1,1,1,1],[1,1,1,1,2,3,1,
1,2,1,1,3,1,1],[1,3,3,9,2,1,1,9,1,1,3,3,6,3,3,1,3,3,1,1,1,1],[1,4,3,2,2,3,1,1,
3,2,5,1,1,3,1,1,1,1],[1,1,3,3,2,1,1,3,2,1,1,1,3,1,3,1,1,3,1,1,1,1],[1,3,3,9,2,
2,9,1,1,3,3,6,6,1,3,3,1,1,1,1],[1,1,18,2,1,1,9,2,1,1,3,3,3,12,3,1,6,3,3,1,1,1,
1],[1,1,3,3,1,1,2,3,1,1,1,1,2,3,3,1,1,3,1,1,1,1],[1,3,3,9,2,1,1,9,1,1,3,3,3,6,
3,1,3,3,1,1,1,1],[1,3,3,9,2,1,1,9,1,1,3,3,6,3,3,1,3,3,1,1,1,1],[1,3,12,2,1,1,
9,1,3,1,6,3,3,3,1,3,3,1,1,1,1],[1,3,12,2,1,1,9,1,3,1,3,6,3,3,1,3,3,1,1,1,1],[
1,3,12,2,2,9,1,3,1,6,3,6,1,3,3,1,1,1,1],[1,1,18,2,1,1,9,2,1,1,3,3,12,3,3,1,3,
3,6,1,1,1,1],[1,1,3,3,2,1,1,3,2,1,1,1,3,1,3,1,1,3,1,1,1,1],[1,3,3,9,1,1,2,9,1,
3,3,1,3,3,6,1,3,3,1,1,1,1],[1,3,12,1,1,2,9,3,4,1,3,6,3,1,3,3,1,1,1,1],[1,3,12,
2,1,1,9,1,3,3,4,6,3,1,3,3,1,1,1,1],[1,1,18,2,1,1,9,2,1,1,3,3,12,3,3,1,3,6,3,1,
1,1,1],[1,1,18,1,1,2,9,1,6,1,1,1,3,3,3,3,6,1,3,3,3,3,1,1,1,1],[1,3,12,2,1,1,9,
1,3,1,6,3,3,3,1,3,3,1,1,1,1],[1,1,3,3,2,1,1,3,2,1,1,1,3,1,3,1,1,3,1,1,1,1],[1,
3,3,9,1,1,2,9,1,3,3,1,3,3,6,1,3,3,1,1,1,1],[1,3,1,3,2,2,3,1,3,2,2,1,3,1,1,3,1,
1,1,1],[1,1,18,1,1,1,1,9,1,1,1,1,6,6,6,6,1,3,3,3,3,1,2,1],[1,3,12,2,1,1,9,1,3,
3,1,3,6,3,1,3,3,1,1,1,1],[1,1,18,1,1,2,9,1,6,1,2,3,6,3,6,1,3,3,6,1,1,1,1],[1,
3,12,1,1,2,9,3,1,4,3,3,6,1,3,3,1,1,1,1],[1,3,12,2,1,1,9,1,3,3,3,1,6,3,1,3,3,1,
1,1,1],[1,3,12,1,1,2,9,1,3,4,3,3,6,1,3,3,1,1,1,1],[1,1,18,1,1,1,1,9,1,1,1,1,3,
6,6,3,3,3,1,3,3,3,3,1,1,1,1],[1,3,12,2,1,1,9,1,3,1,6,3,3,3,1,3,3,1,1,1,1],[1,
3,3,9,1,1,2,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,1,18,1,1,1,1,9,1,1,1,1,3,3,6,3,
6,3,1,3,3,3,3,1,1,1,1],[1,1,18,1,1,1,1,9,1,1,1,1,3,6,3,6,3,3,1,3,3,3,3,1,1,1,
1],[1,3,12,1,1,2,9,1,3,4,3,3,6,1,3,3,1,1,1,1],[1,3,12,1,3,9,1,3,4,3,9,1,3,3,1,
1,1,1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,5,10,1,10,10,15,5,10,5,10,10,10,
15,1,5,10,1],[1,1,12,6,12,1,3,4,18,12,18,36,4,1,6,4,1,12,12,18,6,3,4,4,6,12,3,
1,4,4,6,1],[1,3,4,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,1,6,1,4,3,1,6,1,3,3,4,3,1,
1,3,3,1],[1,5,10,4,10,10,15,8,4,5,10,1,4,1,1,2,1],[1,1,6,4,4,3,4,1,3,3,4,1,1,
1],[1,1,6,4,4,3,4,1,3,3,4,1,1,1],[1,3,4,1,1,3,3,3,9,3,4,1,9,9,1,3,1,3,3,3,1,3,
3,1],[1,3,6,4,18,1,1,3,3,3,18,9,18,18,18,2,3,4,6,1,6,9,9,18,1,1,3,3,6,3,6,6,6,
3,1,2,3,3,6,1],[1,1,6,4,4,3,4,1,3,3,4,1,1,1],[1,3,16,4,1,3,9,12,6,8,4,3,1,3,6,
6,1,4,3,1,2,1],[1,1,6,1,4,3,4,1,6,1,2,4,3,4,1,1,2,1],[1,1,2,1,2,1,6,6,1,2,1,6,
2,2,1,2,3,1,2,1],[1,1,10,1,4,2,5,4,1,10,1,1,1,4,2,4,5,4,1,1,1,1,4,1],[1,1,2,
24,1,2,1,12,12,12,1,2,8,1,6,12,2,1,4,4,4,3,1,2,4,1],[1,1,6,1,3,4,12,1,6,1,6,3,
4,4,3,1,2,1],[1,5,10,4,10,10,15,4,4,4,5,10,1,4,1,1,1,1,1],[1,7,12,4,3,9,9,4,6,
4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,4,1,1,2,3,3,2,3,4,1,1,1,2,1,3,3,2,1,1,1,1,
1],[1,3,6,4,6,4,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,4,
12,4,1,3,3,6,6,6,6,4,8,1,6,3,3,6,1,4,3,1,2,1],[1,1,2,1,2,1,1,2,1,6,2,1,3,1,2,
1],[1,1,2,1,1,3,2,9,1,2,1,3,3,1,1,3,2,3,1,1,1,1],[1,3,8,1,1,3,5,4,2,3,8,1,1,1,
2,2,1,3,5,4,2,1,1,1,1,2,2,1],[1,1,6,2,6,1,2,1,3,6,6,3,6,2,1,2,2,1,3,3,2,1,1,2,
1,2,2,3,1,1,1,1],[1,1,6,2,6,1,1,3,3,6,2,3,3,6,2,1,2,2,1,3,3,6,6,1,1,1,2,1,1,2,
2,3,1,1,1,2,2,1],[1,1,6,6,6,1,4,3,3,6,6,3,6,2,1,6,2,1,6,3,3,6,4,1,3,2,1,2,2,3,
1,2,1,1,2,1],[1,1,6,2,18,1,1,3,6,2,9,6,6,6,2,1,2,6,1,3,3,6,6,1,1,2,3,2,2,2,2,
3,1,1,1,2,2,1],[1,3,2,4,6,4,1,3,3,1,6,3,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,3,
4,4,1,3,3,1,3,4,1,3,3,1,4,1,1,1],[1,1,2,12,1,1,2,6,6,6,6,1,2,4,1,3,3,1,2,2,2,
2,2,3,1,1,1,1],[1,3,6,4,6,1,1,3,3,3,3,6,3,3,6,2,3,4,2,1,3,3,3,3,3,3,1,1,3,1,3,
2,1,1,2,3,1,1,1,1,1,1,1,1],[1,1,6,12,1,4,3,3,3,6,6,6,1,6,4,1,3,3,6,6,4,1,3,2,
1,2,2,3,1,1,2,1,2,1],[1,1,6,12,1,3,4,3,3,6,6,6,1,6,4,1,3,3,6,6,1,3,4,2,1,2,2,
3,1,1,1,2,2,1],[1,3,4,12,1,1,3,3,6,6,6,6,3,4,4,1,6,3,3,6,1,3,3,2,2,2,2,3,1,2,
1,1,2,1],[1,1,4,12,1,1,2,6,1,4,4,1,3,3,1,2,2,3,1,1,1,1],[1,3,9,7,4,3,1,3,3,3,
9,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,4,3,3,3,6,6,6,4,4,4,1,3,3,
6,6,1,4,3,1,1,1,1],[1,1,6,12,4,4,3,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[
1,1,6,6,6,4,4,3,3,6,6,3,6,4,4,4,1,6,3,3,6,1,4,3,1,1,1,1],[1,3,4,12,4,1,3,3,6,
6,6,6,4,4,4,1,6,3,3,6,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,3,3,9,9,3,4,4,4,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,3,6,4,6,4,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,3,5,15,1,1,1,3,1,9,15,9,1,5,5,3,3,1,3,3,3,3,1,1,1,3,5,3,1,3,1,1,1,1,
1,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,7,9,3,4,1,3,9,3,3,9,3,4,4,4,3,1,
3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,6,4,4,3,3,6,6,3,6,4,4,4,1,6,3,3,6,1,4,3,1,1,
1,1],[1,6,1,3,9,4,3,1,6,3,3,3,3,3,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,
9,4,3,1,3,3,3,9,9,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,4,6,4,4,3,4,6,4,6,
12,4,4,4,1,4,4,6,1,4,1,1,1,1,1],[1,1,6,12,4,4,3,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,
3,1,1,1,1],[1,2,9,3,9,1,1,1,9,3,6,1,9,3,6,3,2,3,3,3,1,3,3,3,3,3,3,1,1,1,2,3,1,
2,1,3,1,1,1,1,1,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,6,3,3,7,4,3,1,3,3,
6,3,3,3,6,4,4,4,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,6,4,4,3,3,6,6,3,6,4,4,4,
1,6,3,3,6,1,4,3,1,1,1,1],[1,2,3,3,15,1,1,1,6,1,3,9,9,3,6,1,2,3,5,1,3,3,3,3,3,
3,1,1,2,3,1,3,1,2,1,3,1,1,1,1,1,1,1,1],[1,9,5,9,1,1,1,9,1,3,15,9,3,5,3,3,3,1,
3,3,3,3,1,3,1,1,5,3,1,3,1,1,1,1,1,1,1,1],[1,1,6,12,4,3,4,3,3,6,6,6,4,4,4,1,3,
3,6,6,1,4,3,1,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,12,1,3,6,1,4,1,3,3,
3,2,3,1,1,1,1],[1,1,6,12,4,3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,2,
5,7,9,1,1,3,7,1,6,3,9,3,6,1,2,2,1,2,2,1,1,3,3,3,3,3,3,1,1,1,2,2,1,1,1,1,2,2,3,
1,1,1,1,1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,
4,3,1,1],[1,1,12,1,3,6,1,4,1,3,3,3,2,3,1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,
1,1],[1,1,12,1,3,6,1,4,1,3,3,3,2,3,1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,
1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,12,1,3,6,1,4,1,3,3,3,2,3,1,1,1,1],[
1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,9,1,12,12,9,4,12,1,1],[1,9,1,2,4,2,4,9,6,
6,1,2,2,4,4,1,6,6,1,1],[1,27,4,3,6,27,36,54,3,4,6,9,12,18,1,1],[1,9,4,3,6,6,6,
9,3,4,6,1,6,6,1,1],[1,9,1,2,2,2,1,2,1,2,3,3,6,9,2,1,1,1,1,1,2,2,2,1,3,3,3,3,1,
1],[1,3,2,2,2,1,2,4,1,6,3,3,1,1,1,4,2,2,2,1,1,2,3,1,1],[1,3,4,3,6,1,6,3,3,3,4,
6,1,1,2,3,1,1],[1,27,1,2,2,2,1,2,1,2,9,9,9,9,9,18,18,18,18,2,1,1,1,1,1,2,2,2,
3,3,3,3,3,6,6,6,6,1,1],[1,9,1,2,4,2,4,3,3,6,9,1,2,2,4,4,1,3,3,6,1,1],[1,3,1,2,
2,2,1,2,1,2,3,1,3,3,3,2,1,1,1,1,1,2,2,2,1,1,1,1,3,1,1],[1,3,1,2,4,2,4,3,1,3,6,
1,2,2,4,4,1,1,2,3,1,1],[1,3,2,2,2,1,2,4,1,6,3,3,1,1,1,4,2,2,2,1,1,2,3,1,1],[1,
9,2,2,2,1,2,4,6,6,9,1,1,1,4,2,2,2,1,3,3,6,1,1],[1,3,4,3,6,1,6,6,3,4,6,2,2,3,1,
1],[1,3,1,2,4,2,4,1,6,6,1,2,2,4,4,2,2,3,1,1],[1,27,1,2,4,2,4,9,18,36,18,36,1,
2,2,4,4,6,3,6,12,12,1,1],[1,3,1,3,3,3,3,1,3,3,3,3,1,3,3,3,3,1,1,1,1,3,1,1],[1,
27,3,1,3,3,3,9,27,27,27,27,1,3,3,3,3,3,9,9,9,9,1,1],[1,3,1,2,1,1,2,1,5,1,3,3,
3,3,1,2,1,1,2,1,2,1,2,1,1,1,1,3,1,1],[1,27,1,3,3,3,3,27,9,27,27,27,1,3,3,3,3,
3,9,9,9,9,1,1],[1,3,3,1,3,3,3,1,3,3,3,3,1,3,3,3,3,1,1,1,1,3,1,1],[1,27,1,1,1,
1,3,6,9,9,9,9,27,54,1,1,3,2,3,3,3,3,9,6,9,9,1,1],[1,3,1,1,1,1,3,6,3,1,3,3,3,1,
1,3,2,3,3,1,3,1,1,1,1,1],[1,9,1,2,2,2,1,2,1,2,3,3,3,3,9,2,1,1,1,1,1,2,2,2,1,3,
3,3,3,1,1],[1,3,1,2,2,2,1,2,1,2,3,1,3,6,2,1,1,1,1,1,2,2,2,1,1,1,1,3,1,1],[1,1,
1,2,2,2,1,2,1,2,1,2,2,2,1,1,1,1,2,2,1,1,1,1,1,2,2,2,2,1,1,1,1,1,2,2,2,1,1],[1,
9,2,2,2,1,2,4,3,3,6,9,1,1,1,4,2,2,2,1,3,3,6,1,1],[1,27,1,2,2,2,1,2,1,2,9,9,18,
18,18,18,9,18,2,1,1,1,1,1,2,2,2,3,6,3,3,3,3,6,6,6,1,1],[1,3,1,2,4,2,4,3,1,3,6,
1,2,2,4,4,1,1,3,2,1,1],[1,9,1,2,4,2,4,3,3,6,9,1,2,2,4,4,1,3,3,6,1,1],[1,9,4,3,
6,3,3,6,9,3,4,6,1,3,3,6,1,1],[1,3,2,2,2,1,2,4,1,6,6,1,1,1,4,2,2,2,1,1,3,2,1,
1],[1,27,2,2,2,1,2,4,18,18,18,9,18,36,1,1,1,4,2,2,2,3,3,3,6,12,6,6,1,1],[1,9,
2,2,2,1,2,4,3,3,6,9,1,1,1,4,2,2,2,1,3,3,6,1,1],[1,27,1,1,1,1,9,9,9,9,1,1,1,1,
3,3,3,3,1,1],[1,9,1,3,3,3,3,3,3,3,3,9,1,3,3,3,3,1,3,3,3,3,1,1],[1,27,1,2,1,1,
2,1,5,9,9,18,9,18,9,45,1,2,1,1,2,1,2,1,2,3,6,3,6,3,6,6,3,3,1,1],[1,9,3,1,3,3,
3,3,3,3,3,9,1,3,3,3,3,1,3,3,3,3,1,1],[1,9,1,12,3,9,9,4,1,3,1,1],[1,9,1,2,1,1,
2,1,5,3,3,3,3,9,1,2,1,1,2,1,2,1,2,1,3,3,3,3,1,1],[1,9,1,1,1,1,3,6,3,3,3,3,9,1,
1,3,2,3,3,1,3,3,3,3,1,1],[1,9,1,3,9,3,9,9,1,3,1,3,1,1],[1,9,1,3,3,9,1,3,1,3,1,
1],[1,9,1,3,3,9,1,3,1,3,1,1],[1,9,1,3,3,9,1,3,1,3,1,1],[1,15,10,5,6,10,6,5,
1],[1,15,10,5,6,10,6,5,1],[1,3,5,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,5,1,
15,1,5,1,5,1,3,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,22,18,6,10,21,12,12,2,7,3,
10,9,18,6,12,12,1,6,9,3,6,6,1,3,3,1],[1,1,4,18,4,12,6,9,12,6,4,12,6,12,2,3,3,
9,18,4,4,12,6,6,12,6,9,1,3,6,6,1,3,3,1],[1,1,10,8,4,2,5,4,2,8,10,4,4,4,1,1,1,
4,4,4,2,2,4,4,4,4,4,1,2,1,2,1,2,2,1,1,1,1],[1,5,14,10,2,10,17,4,4,8,5,1,10,1,
4,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,4,14,12,10,2,10,17,4,6,2,12,4,6,10,20,
12,12,5,1,10,1,4,2,2,4,4,4,4,4,6,6,6,6,10,6,6,12,4,12,4,4,4,4,4,4,1,1,1,1,2,2,
2,2,1,1,1,2,6,2,2,6,2,2,2,6,6,4,4,4,4,1,2,1,1,2,2,2,2,2,1],[1,1,4,10,4,4,2,5,
4,6,4,8,4,6,12,1,1,1,4,4,4,4,4,2,6,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,18,8,12,6,
9,12,2,2,4,4,4,2,3,3,9,18,2,2,4,4,4,4,4,4,6,9,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,
1,4,4,4,3,1,4,4,4,1,4,3,4,1,1,1,1,1],[1,3,4,1,4,8,1,3,3,3,4,4,8,1,4,1,1,3,3,2,
4,1,1,2,1,1],[1,3,18,1,4,8,1,9,9,3,6,12,24,9,4,1,1,3,2,3,4,3,3,6,1,1],[1,18,3,
1,4,8,1,9,9,6,3,12,24,9,4,1,1,3,2,3,4,3,3,6,1,1],[1,1,5,4,4,3,5,4,4,1,4,3,4,1,
1,1,1,1],[1,6,15,2,2,9,9,9,2,6,8,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,1,1,4,4,4,3,1,
4,4,4,1,4,3,4,1,1,1,1,1],[1,1,4,1,4,4,3,1,4,4,4,1,4,3,4,1,1,1,1,1],[1,1,4,1,4,
4,3,1,4,4,4,1,4,3,4,1,1,1,1,1],[1,6,6,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,2,2,1,
1,1,1],[1,1,4,1,4,4,3,4,1,4,4,1,4,3,4,1,1,1,1,1],[1,1,1,1,1,1,3,1,1,1,1,1,1,3,
3,3,3,1,1,1,1,1,3,1],[1,1,5,4,4,3,5,4,4,1,4,3,4,1,1,1,1,1],[1,1,1,4,4,4,3,4,1,
4,4,1,4,3,4,1,1,1,1,1],[1,1,1,4,8,3,1,4,8,1,4,3,4,1,1,1,1,1],[1,1,5,4,4,3,5,4,
4,1,4,3,4,1,1,1,1,1],[1,1,1,4,8,3,1,4,4,4,1,4,3,4,1,1,1,1,1],[1,1,1,4,4,4,3,4,
1,4,4,1,4,3,4,1,1,1,1,1],[1,6,3,1,4,8,3,1,3,6,4,3,3,4,3,1,1,2,3,4,1,3,1,1],[1,
3,18,1,4,8,1,9,9,3,6,12,24,9,4,3,1,1,2,3,4,3,3,6,1,1],[1,1,6,1,4,8,3,4,1,6,4,
8,1,4,3,4,1,2,4,1,1,2,1,1],[1,9,3,3,1,4,8,1,9,9,3,3,1,12,3,4,3,1,1,2,3,4,1,3,
1,1],[1,3,18,1,4,8,1,9,9,3,6,12,24,9,4,1,1,3,2,3,4,3,3,6,1,1],[1,3,3,9,1,4,8,
1,9,9,1,3,3,12,3,4,1,1,3,2,3,4,1,3,1,1],[1,3,3,9,1,4,8,1,9,9,1,3,3,12,3,4,1,1,
2,3,3,4,1,3,1,1],[1,3,18,1,4,8,1,9,9,3,6,12,12,12,9,4,1,1,2,3,3,4,3,3,3,3,1,
1],[1,9,1,4,8,3,1,3,9,4,3,4,3,1,1,2,3,4,1,3,1,1],[1,1,6,1,4,8,4,3,1,6,4,4,4,1,
4,1,4,3,2,4,1,1,1,1,1,1],[1,9,1,4,8,1,3,3,9,4,3,4,1,1,3,2,3,4,1,3,1,1],[1,6,1,
18,1,1,2,3,3,9,2,1,6,1,6,2,6,6,6,9,1,1,1,3,3,3,3,6,2,2,1,3,3,1,1,1,1],[1,2,7,
1,1,2,1,3,3,2,7,2,2,2,2,1,2,3,1,1,3,1,1,1,3,2,2,2,1,1,3,1,1,1,1],[1,15,7,9,1,
1,2,3,21,27,5,7,3,3,6,2,1,6,2,3,6,9,1,7,3,1,9,6,3,3,6,6,1,2,2,1,1,3,3,2,1,1,1,
2,1],[1,2,9,1,27,1,1,2,1,18,9,9,18,3,2,1,3,9,2,6,2,2,1,2,6,6,6,3,6,9,1,1,6,1,
3,3,6,6,6,2,6,3,3,6,6,6,6,6,1,2,2,1,1,3,3,6,2,1,1,1,2,1],[1,2,6,1,1,1,2,1,3,3,
2,2,1,2,2,2,1,6,2,3,1,1,1,1,1,2,3,3,2,2,1,1,3,1,1,1,1],[1,1,9,9,2,2,9,9,9,6,6,
2,2,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,6,9,6,2,2,9,9,9,2,6,6,6,2,6,9,1,6,6,1,2,2,1,
1,1,1],[1,7,18,1,1,2,3,3,9,7,6,2,1,2,6,6,6,9,1,1,3,1,3,3,3,6,2,2,1,3,3,1,1,1,
1],[1,1,36,1,1,1,1,1,18,1,1,1,1,12,12,12,12,9,1,1,1,1,1,6,6,6,6,1,4,3,3,3,3,1,
2,1],[1,15,6,2,2,9,9,9,6,8,6,2,6,9,1,6,6,1,2,2,1,1,1,1],[1,7,15,9,2,2,9,15,27,
2,6,8,6,2,8,6,6,9,1,6,8,6,6,6,12,1,2,2,1,1,6,1,1,1,2,2,1],[1,9,1,9,1,1,2,3,3,
9,3,1,3,3,6,1,2,3,6,9,1,1,1,3,3,3,3,6,1,1,1,3,3,1,1,1,1],[1,6,1,9,15,2,2,9,6,
9,9,18,2,6,6,6,2,2,2,6,6,6,9,1,6,2,6,6,6,6,6,6,1,2,1,1,2,6,1,1,1,2,2,1],[1,1,
1,1,1,1,1,1,1,1,1,9,1,1,1,1,1,1,3,3,3,3,1,1],[1,4,3,3,21,2,1,1,3,12,9,9,18,1,
2,1,3,1,1,1,3,3,3,1,3,12,3,3,3,9,1,1,3,1,3,3,3,3,3,3,6,3,3,3,3,3,1,1,1,1,1,1,
1,3,3,1,1,1,1,1,1,1,1],[1,4,3,3,21,1,1,2,3,12,9,9,18,1,4,1,3,7,1,1,2,3,3,6,3,
3,6,9,1,3,4,1,3,3,6,3,3,3,3,3,3,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,4,3,3,
21,2,1,1,3,12,9,9,18,1,2,1,4,1,1,3,3,3,4,3,12,3,3,9,1,1,3,3,4,3,3,6,3,3,3,3,6,
3,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,4,3,3,21,2,1,1,3,12,9,9,18,1,2,1,1,1,
3,1,3,3,3,3,1,12,3,3,3,9,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,6,1,1,1,1,1,1,1,3,3,1,
1,1,1,1,1,1,1],[1,5,10,10,10,15,16,5,10,1,1],[1,1,4,4,4,3,6,6,12,4,3,3,4,6,6,
6,6,8,12,12,12,12,12,12,12,1,3,4,4,4,6,6,12,1],[1,1,1,1,1,12,24,1,4,12,8,12,
12,1,4,8,1],[1,1,3,3,12,3,4,3,3,3,3,6,1,1,2,1],[1,4,3,15,3,7,6,6,1,1,2,1],[1,
3,1,3,12,3,4,3,3,3,3,6,1,1,2,1],[1,3,1,3,3,12,1,3,3,3,3,3,3,3,1,1,1,1,1],[1,4,
3,6,9,3,4,6,3,3,3,1,1,1,1,1],[1,1,3,3,3,12,1,3,3,3,3,3,3,3,1,1,1,1,1],[1,1,1,
1,1,3,6,1,1,3,2,3,3,3,3,3,1,1,1,1,3,6,1],[1,1,18,16,12,6,9,12,16,2,3,3,9,18,
12,6,9,8,12,1,1],[1,1,18,16,12,6,9,12,16,2,3,3,9,18,12,6,9,8,12,1,1],[1,1,18,
16,12,6,9,12,16,2,3,3,9,18,12,6,9,8,12,1,1],[1,1,18,1,12,6,9,12,1,18,2,3,3,9,
18,6,12,9,12,6,9,2,3,3,9,18,1,6,9,1],[1,1,18,16,12,6,9,12,16,2,3,3,9,18,12,6,
9,8,12,1,1],[1,1,18,4,12,6,9,12,4,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,1,18,4,12,6,
9,12,4,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,1,18,16,12,6,9,12,16,2,3,3,9,18,12,6,9,
4,4,12,1,1],[1,1,18,4,12,6,9,12,4,2,3,3,9,18,12,6,9,1,4,1,3,1],[1,5,22,4,10,6,
10,21,12,12,8,8,4,5,3,10,3,12,6,12,12,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,
5,6,10,18,1,10,10,15,3,3,18,9,9,18,18,18,2,5,10,6,5,10,3,6,9,9,9,9,9,9,9,18,
18,10,1,10,1,15,6,3,3,6,6,6,1,3,3,9,9,9,9,5,1,10,2,3,3,3,3,3,3,3,6,6,3,1,1,1,
3,3,3,3,1],[1,1,12,10,12,1,4,2,5,4,18,12,12,18,36,4,1,10,4,1,1,1,4,12,12,12,6,
18,12,2,4,6,5,4,4,6,4,12,1,3,3,6,6,1,1,1,4,4,4,6,4,2,4,3,1,1,1,2,2,1],[1,1,10,
1,4,2,5,4,24,1,10,1,1,1,4,12,2,4,5,4,8,1,6,1,1,1,4,4,3,1,2,1],[1,5,14,1,10,2,
10,17,4,4,5,14,5,1,10,1,4,2,4,4,2,10,10,17,4,4,1,1,1,2,2,5,1,10,1,2,4,4,4,1,1,
1,1,2,2,1],[1,1,10,1,4,2,5,4,1,10,1,1,1,4,12,2,4,5,4,1,6,1,1,1,4,4,3,1,2,1],[
1,1,10,1,4,2,5,4,8,1,10,1,1,1,4,4,2,4,5,4,8,1,2,1,1,1,4,4,1,2,1,1],[1,1,10,24,
1,4,2,5,4,6,6,12,12,12,1,10,8,1,1,1,4,6,6,12,12,12,12,12,2,4,2,5,4,4,2,4,4,1,
3,3,6,6,1,1,1,2,4,4,2,4,4,4,4,3,1,1,1,2,2,1],[1,1,6,24,4,4,3,12,12,12,4,16,1,
3,3,6,6,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,16,12,4,1,3,9,12,1,6,9,6,6,6,8,4,8,
3,1,3,6,6,6,6,3,3,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,3,12,8,24,
1,1,3,5,4,18,3,24,2,3,24,48,18,18,4,3,8,8,1,1,3,1,2,12,6,12,2,3,3,3,24,9,3,6,
18,6,6,6,6,6,1,6,3,1,5,4,8,8,1,16,6,6,2,3,1,3,3,3,3,3,6,6,6,6,1,1,1,4,2,4,1,1,
1,8,1,1,3,2,2,6,2,2,2,2,2,2,3,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,4,4,3,6,6,4,1,3,
3,6,6,4,1,3,3,1,4,3,1,1],[1,3,6,4,6,4,1,6,3,3,3,4,6,6,6,3,6,4,4,4,1,3,3,3,3,3,
3,6,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,6,6,18,1,4,3,3,3,6,
4,9,9,6,6,6,2,1,6,6,1,2,6,3,3,3,3,6,12,6,6,6,6,4,1,1,3,2,3,3,2,2,2,4,1,3,3,3,
3,3,3,1,1,2,1,2,2,1,1,4,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,5,6,10,18,4,10,10,15,3,
3,18,9,9,18,18,18,4,8,4,8,4,5,10,3,6,9,9,9,9,9,9,9,18,18,1,4,8,4,4,8,1,3,3,9,
9,9,9,1,2,1,1,2,4,3,1,1,1,2,2,1],[1,3,8,12,1,1,3,5,4,3,2,15,6,6,6,3,8,4,1,1,1,
2,2,6,12,9,3,6,6,6,1,3,1,5,4,2,5,2,2,2,3,1,3,3,3,3,3,1,1,3,2,1,1,4,2,2,2,2,2,
3,1,1,1,1,1,1,1,1],[1,3,6,4,30,1,1,2,3,3,3,18,2,6,15,18,24,24,2,3,4,10,1,1,1,
6,6,3,9,12,6,18,6,12,6,2,1,1,3,3,6,5,2,6,8,8,2,1,3,3,3,3,3,3,1,1,2,2,3,1,4,1,
6,2,4,2,2,3,1,1,1,1,1,1,1,1],[1,3,2,4,18,4,1,6,3,3,1,6,6,6,9,6,12,12,4,8,8,1,
3,3,2,6,3,3,6,6,6,6,12,6,1,4,4,4,3,1,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,24,4,
4,3,12,12,12,4,16,1,3,3,6,6,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,6,24,1,4,3,12,
12,12,1,6,8,1,3,3,6,6,12,4,3,4,4,4,1,3,3,6,6,1,3,3,2,4,2,3,1,1,1,2,2,1],[1,3,
6,4,6,1,1,2,3,3,3,6,6,2,12,3,6,2,3,4,2,1,1,3,1,3,3,9,12,3,3,6,6,2,1,1,3,2,3,2,
1,4,2,2,3,1,3,3,3,3,3,1,1,1,4,1,1,1,1,1,3,2,2,3,1,1,1,1,1,1,1,1],[1,1,6,4,4,3,
6,6,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,5,2,10,6,4,10,10,15,1,1,6,3,3,6,6,6,8,4,
8,5,10,1,2,3,3,3,3,3,3,3,6,6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,6,
4,4,3,6,6,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,3,8,16,12,4,1,3,9,12,16,3,12,6,3,
18,36,6,6,4,8,4,8,4,3,1,3,3,6,12,2,12,6,3,3,3,18,3,3,6,6,6,6,6,6,6,1,4,8,4,4,
8,3,3,1,3,3,3,3,6,6,6,6,1,2,1,1,2,4,3,1,1,1,2,2,1],[1,1,6,1,4,3,6,6,1,6,1,3,3,
6,6,4,2,3,2,1,3,3,1,3,2,3,2,3,1,1,1,1],[1,1,6,24,4,4,3,12,12,12,4,16,1,3,3,6,
6,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,7,4,12,16,4,3,9,9,4,6,3,16,6,3,12,24,18,18,
4,4,4,4,4,4,4,1,3,3,3,6,4,6,4,6,3,3,3,12,9,3,6,18,6,6,6,6,6,1,4,4,4,4,4,4,4,1,
3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,5,6,10,18,4,10,10,
15,3,3,18,9,9,18,18,18,4,4,4,4,4,4,4,5,10,3,6,9,9,9,9,9,9,9,18,18,1,4,4,4,4,4,
4,4,1,3,3,9,9,9,9,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,27,4,3,6,27,18,18,27,
3,4,6,27,3,18,18,1,9,3,1],[1,6,9,1,2,4,2,4,9,6,2,9,6,6,6,12,1,2,2,4,4,9,6,1,2,
2,4,6,6,6,1,1,6,1,2,1],[1,18,9,1,2,4,2,4,27,6,9,6,12,6,6,18,1,2,2,4,4,9,18,1,
2,6,6,6,6,12,1,3,6,1,2,1],[1,9,1,2,4,2,4,27,9,6,6,1,2,2,4,4,9,1,6,6,1,3,1,1],[
1,9,1,12,9,12,9,4,9,12,1,1,1],[1,6,9,4,3,6,9,2,12,6,6,6,6,9,3,4,6,6,9,1,2,2,4,
6,6,6,1,1,6,1,2,1],[1,9,4,3,6,27,6,6,9,3,4,6,9,1,6,6,1,3,1,1],[1,6,9,2,2,2,1,
2,4,9,2,6,6,3,6,6,3,6,9,1,1,1,4,2,2,2,6,9,1,1,1,2,2,2,3,3,3,3,6,1,1,3,3,1,1,1,
1],[1,3,9,27,1,2,2,2,1,2,1,2,27,3,3,1,3,9,3,6,3,3,9,9,9,9,9,18,18,18,18,2,1,1,
1,1,1,2,2,2,9,9,9,9,9,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,6,6,6,6,1,3,3,3,3,3,1,1,1,
1],[1,9,18,4,3,6,27,6,6,9,6,6,12,18,3,4,6,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,
9,1,2,4,2,4,9,9,6,6,1,2,2,4,4,9,1,6,6,1,1,1,1],[1,3,9,27,4,3,6,27,1,6,6,9,6,6,
27,36,54,3,4,6,9,18,18,1,2,2,6,6,9,3,12,18,1,3,6,6,1,1,1,1],[1,9,18,1,2,4,2,4,
27,9,6,6,6,6,12,18,1,2,2,4,4,9,18,1,2,6,6,6,6,12,1,3,6,1,2,1],[1,3,9,27,1,2,4,
2,4,27,1,9,9,6,6,6,6,18,36,18,36,1,2,2,4,4,9,18,18,1,2,2,6,6,6,3,3,6,12,12,1,
3,6,6,1,1,1,1],[1,9,4,3,6,9,6,6,9,3,4,6,9,1,6,6,1,1,1,1],[1,6,9,4,3,6,9,2,6,6,
9,12,12,3,4,6,6,9,1,4,4,6,6,6,1,1,6,1,2,1],[1,15,1,2,4,2,4,9,15,6,8,6,12,1,2,
2,4,4,9,6,1,6,8,2,6,4,1,1,6,1,2,1],[1,3,36,2,2,2,1,2,4,27,1,6,3,3,3,3,18,24,
18,9,9,18,36,1,1,1,4,2,2,2,9,9,9,18,1,1,2,3,1,3,3,3,3,3,6,12,6,6,6,1,3,3,3,6,
1,1,1,1],[1,9,3,27,1,2,2,2,1,2,1,2,27,3,3,3,9,6,1,3,9,6,9,18,18,18,18,9,18,2,
1,1,1,1,1,2,2,2,9,9,18,9,1,3,1,3,3,1,1,1,3,3,3,6,3,3,3,3,6,6,6,1,3,3,3,3,3,1,
1,1,1],[1,3,36,2,2,2,1,2,4,27,1,6,3,3,3,3,18,18,24,9,9,18,36,1,1,1,4,2,2,2,9,
18,9,9,1,1,2,1,3,3,3,3,3,3,6,12,6,6,6,1,3,3,3,6,1,1,1,1],[1,3,36,1,2,4,2,4,27,
3,1,12,3,6,3,18,6,36,9,18,36,1,2,2,4,4,9,9,9,18,1,1,2,1,3,6,3,6,3,3,12,12,6,1,
3,3,3,6,1,1,1,1],[1,3,3,9,4,3,6,9,1,6,1,3,3,6,6,3,3,6,9,3,4,6,3,3,9,1,1,2,1,2,
2,3,3,3,3,6,1,1,3,3,1,1,1,1],[1,3,3,9,2,2,2,1,2,4,9,1,6,1,3,3,6,6,3,3,6,9,1,1,
1,4,2,2,2,3,3,9,1,1,2,3,1,1,1,3,2,3,3,6,1,1,3,3,1,1,1,1],[1,12,3,1,2,4,2,4,9,
4,3,3,6,1,3,6,15,6,1,2,2,4,4,3,3,9,1,5,2,3,1,1,3,3,6,2,1,1,3,3,1,1,1,1],[1,3,
3,9,2,2,2,1,2,4,9,1,6,1,3,3,6,6,3,3,6,9,1,1,1,4,2,2,2,3,3,9,1,1,2,1,3,1,1,3,2,
3,3,6,1,1,3,3,1,1,1,1],[1,1,54,1,2,2,2,1,2,1,2,27,1,2,2,2,18,1,1,1,1,2,9,9,9,
9,9,36,36,18,36,18,9,18,2,1,1,1,1,1,2,2,2,9,9,9,18,18,9,9,18,18,2,3,3,3,1,1,1,
1,3,3,1,3,2,6,12,2,2,6,6,3,3,3,3,6,6,6,1,3,3,3,3,6,3,6,6,6,1,1,1,1],[1,3,36,4,
3,6,27,1,6,3,3,3,3,27,42,9,54,3,4,6,18,9,9,9,1,1,2,1,3,9,12,3,3,18,6,1,3,3,3,
6,1,1,1,1],[1,3,36,1,2,2,2,1,2,1,2,27,3,1,12,3,3,3,3,3,3,9,18,18,18,18,9,9,18,
2,1,1,1,1,1,2,2,2,9,9,9,9,9,1,1,1,1,3,1,3,6,3,3,3,3,3,3,3,3,6,6,6,1,3,3,3,3,3,
1,1,1,1],[1,9,18,2,2,2,1,2,4,27,6,6,9,6,3,3,6,6,18,1,1,1,4,2,2,2,9,18,1,3,1,1,
3,6,3,6,3,6,6,1,3,3,3,1,1,1,1],[1,3,36,1,2,2,2,1,2,1,2,27,3,12,1,3,6,9,12,12,
12,18,18,18,18,9,2,1,1,1,1,1,2,2,2,9,9,18,9,3,3,1,3,4,3,1,1,1,3,6,6,6,6,3,3,3,
3,1,3,3,3,3,3,1,1,1,1],[1,3,3,9,1,2,4,2,4,9,1,3,1,3,3,6,6,6,3,6,9,1,2,2,4,4,3,
3,9,1,1,2,2,1,2,3,3,3,3,6,1,1,3,3,1,1,1,1],[1,9,3,27,1,2,4,2,4,27,3,3,3,9,6,1,
3,9,6,18,36,18,36,1,2,2,4,4,9,9,18,9,1,3,3,1,1,6,3,3,6,2,6,12,12,1,3,3,3,6,1,
1,1,1],[1,4,3,1,2,2,2,1,2,1,2,3,4,1,3,2,2,2,4,4,1,4,1,3,2,6,2,1,1,1,1,1,2,2,2,
3,1,3,6,1,1,1,1,2,1,4,1,1,1,1,1,1,1,3,2,2,2,1,1,1,1,1,3,1,1,1,1],[1,9,18,1,12,
27,12,9,6,18,18,4,9,18,12,2,6,1,6,1,2,1],[1,3,9,27,2,2,2,1,2,4,27,1,6,6,6,6,9,
18,18,18,9,18,36,1,1,1,4,2,2,2,9,18,18,1,3,1,3,1,3,3,2,6,3,3,6,12,6,6,1,3,3,3,
6,1,1,1,1],[1,1,9,9,1,2,2,2,1,2,1,2,9,3,1,2,3,2,2,3,1,6,1,1,1,2,9,3,3,3,9,2,1,
1,1,1,1,2,2,2,3,3,3,3,9,1,2,3,1,1,3,1,1,1,3,1,3,2,2,2,3,3,3,3,1,1,3,3,3,3,1,1,
1,1],[1,3,36,1,1,1,1,3,6,27,3,1,3,3,3,12,12,12,12,9,27,54,1,1,3,2,3,3,9,9,9,9,
9,1,3,1,1,1,3,4,9,3,6,3,9,3,3,9,1,3,3,3,3,3,1,1,1,1],[1,3,36,1,3,3,3,3,27,1,3,
3,3,3,3,30,12,3,27,9,27,27,1,3,3,3,3,9,9,9,9,9,1,1,1,1,3,3,1,3,9,9,9,3,3,3,9,
1,3,3,3,3,3,1,1,1,1],[1,3,36,1,2,1,1,2,1,5,27,1,3,3,3,3,3,9,12,18,3,12,18,9,9,
45,1,2,1,1,2,1,2,1,2,9,9,9,9,9,1,1,1,1,3,1,3,3,6,3,6,3,3,6,6,3,3,3,3,1,3,3,3,
3,3,1,1,1,1],[1,3,36,3,1,3,3,3,27,1,3,3,3,3,3,12,3,30,27,9,27,27,1,3,3,3,3,9,
9,9,9,9,1,1,1,1,3,3,1,3,9,9,3,9,9,3,3,1,3,3,3,3,3,1,1,1,1],[1,10,15,10,15,5,
15,6,10,10,10,15,6,5,10,6,5,1,1],[1,25,10,5,15,15,6,20,10,15,6,5,10,6,5,1,1],[
1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,
10,10,10,15,6,5,10,6,5,1,1],[1,10,15,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,
1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,3,5,15,1,5,15,15,
1,1,5,5,15,1,3,3,5,5,5,1,1,3,3,5,1,1,1,3,1,1,1,1],[1,5,4,22,12,18,6,10,21,12,
6,2,12,12,14,10,20,12,12,2,7,3,10,9,18,2,6,12,4,4,4,12,14,6,10,6,10,6,6,20,4,
12,4,4,4,4,4,4,4,1,6,9,3,1,2,6,6,2,1,3,1,6,6,2,2,10,2,2,2,2,6,6,4,4,4,4,4,4,1,
3,3,2,1,1,3,3,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,1,4,8,1,6,3,3,6,3,4,4,8,1,
3,3,4,6,1,1,3,3,2,4,6,3,4,1,1,3,2,3,1,4,1,3,1,1],[1,1,6,1,4,4,4,4,3,1,6,4,4,4,
1,3,3,4,4,3,4,4,4,1,4,1,1,1,1,3,3,4,1,1,1,1,1,1],[1,5,10,1,4,8,10,10,15,5,10,
8,8,8,4,8,5,10,4,1,10,10,15,2,4,8,1,8,4,5,1,10,2,2,2,2,1,4,1,1,2,1,2,1],[1,3,
4,36,1,4,8,1,3,3,18,18,18,18,3,4,12,4,8,24,24,24,1,18,9,9,18,4,1,1,3,3,2,6,6,
6,6,12,24,9,8,4,1,1,2,6,3,3,6,6,6,6,1,4,3,3,6,1,2,1],[1,3,6,4,18,1,4,8,1,3,3,
3,18,9,18,18,18,2,3,4,6,4,24,8,1,6,9,9,18,4,1,1,1,3,3,6,2,3,6,6,6,12,3,8,4,1,
1,2,2,3,3,6,6,1,4,1,3,1,2,1],[1,3,16,1,4,8,1,3,9,12,6,3,16,8,4,8,3,1,3,6,6,4,
1,1,3,9,12,2,4,6,3,8,4,3,1,1,2,2,3,6,6,1,4,1,3,1,2,1],[1,3,4,1,4,8,1,3,3,3,9,
3,4,4,8,1,9,9,4,1,1,3,1,3,2,3,12,3,4,1,1,2,3,3,1,4,1,3,1,1],[1,3,18,4,18,1,4,
8,1,3,3,9,9,18,9,9,18,6,3,4,12,6,24,4,8,12,24,1,9,9,9,9,9,9,4,1,1,3,3,3,3,6,2,
3,3,6,12,24,9,4,4,4,3,1,1,2,3,3,3,3,3,3,3,6,6,1,4,3,3,6,1,1,1,1],[1,6,9,3,21,
1,4,8,3,1,9,9,18,3,9,9,18,3,6,4,3,7,12,12,24,9,3,3,9,9,9,9,4,3,3,3,1,1,6,2,3,
3,6,3,12,9,4,4,4,3,1,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,18,6,18,1,4,8,4,
3,9,18,18,9,18,6,1,6,12,6,4,24,4,4,12,12,12,1,18,9,9,18,4,1,4,3,3,6,2,3,6,6,
12,12,12,9,4,4,4,1,1,1,1,3,6,3,3,3,6,6,3,3,1,4,3,3,3,3,1,1,1,1],[1,21,9,9,1,4,
8,1,3,27,3,9,27,9,7,9,12,3,24,4,12,9,3,3,9,9,9,9,4,1,1,9,3,2,3,9,3,3,12,9,4,4,
4,1,1,3,3,3,3,3,3,6,3,3,1,4,3,3,1,1,1,1],[1,1,6,36,1,4,8,3,4,9,9,18,18,18,1,6,
12,4,8,12,24,12,24,1,9,9,18,18,4,3,3,4,1,6,3,2,6,6,12,24,9,4,4,4,1,1,3,3,2,6,
3,6,3,6,6,1,4,3,3,6,1,1,1,1],[1,6,3,3,27,1,4,8,3,1,18,3,9,9,9,9,18,1,6,4,3,9,
12,12,24,3,3,9,9,9,9,9,4,3,1,1,6,3,3,2,3,3,6,3,12,9,4,4,4,1,1,3,3,3,3,3,3,3,3,
6,1,4,3,3,1,1,1,1],[1,3,9,27,1,4,8,1,3,9,3,27,27,9,1,9,9,4,12,12,24,3,9,3,9,9,
9,9,4,1,1,3,3,2,9,9,3,3,12,9,4,4,4,1,3,1,3,3,6,3,3,3,3,3,1,4,3,3,1,1,1,1],[1,
1,36,1,4,4,4,3,18,1,4,4,4,12,24,24,24,1,9,9,4,3,6,12,12,12,9,4,8,1,1,1,1,3,3,
4,3,3,3,3,1,1],[1,3,9,27,1,4,8,3,1,9,3,9,27,27,1,9,9,4,12,12,24,9,3,3,9,9,9,9,
4,3,3,1,1,3,2,9,9,3,12,9,4,4,4,1,3,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,7,12,
1,4,8,3,9,9,4,6,7,4,12,4,4,8,1,3,3,6,6,4,3,9,9,4,1,4,2,6,3,4,4,4,1,3,1,1,1,3,
2,6,6,1,4,1,3,1,1,1,1],[1,1,12,6,12,1,4,8,3,4,18,12,18,36,4,1,6,4,4,8,12,12,1,
12,12,18,4,6,3,4,1,4,6,2,12,12,3,4,4,4,1,4,1,4,6,2,3,3,1,4,1,3,1,1,1,1],[1,1,
6,36,1,4,8,4,3,9,9,18,18,18,1,6,12,4,4,4,12,12,12,12,24,1,9,9,18,18,4,1,4,3,3,
2,6,3,6,6,12,12,12,9,4,4,4,1,1,1,1,3,3,6,3,6,3,6,3,3,1,4,3,3,3,3,1,1,1,1],[1,
9,9,21,1,4,8,3,1,9,3,9,27,27,3,9,7,4,12,24,12,3,9,3,9,9,9,9,4,3,3,1,1,3,2,9,9,
3,12,9,4,4,4,3,1,1,3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,36,5,4,4,3,18,5,4,4,
12,12,36,12,12,1,9,9,4,3,12,12,18,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,1,36,
1,4,4,4,3,18,1,4,4,4,12,24,12,12,12,12,1,9,9,4,3,12,6,12,12,9,4,4,4,1,1,1,1,3,
3,4,3,3,3,3,1,1],[1,1,36,5,4,4,3,18,5,4,4,12,12,36,12,12,1,9,9,4,3,12,18,12,9,
4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,1,36,1,4,8,3,18,1,12,4,4,4,12,12,12,12,24,
1,9,9,4,3,6,12,12,12,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,1,36,1,4,4,4,3,18,
4,1,4,4,12,12,24,12,12,12,1,9,9,4,3,6,12,12,12,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,
1,1],[1,2,15,7,27,1,1,2,1,3,21,3,18,3,27,9,18,5,2,7,3,9,2,6,2,2,2,1,6,2,6,6,6,
3,6,3,3,9,9,9,9,9,1,7,1,1,3,6,1,1,1,9,3,6,3,6,6,2,6,6,3,3,3,3,6,6,6,6,6,6,9,1,
2,2,2,2,1,1,1,3,1,3,3,3,3,3,3,3,3,3,3,3,6,2,2,1,1,1,1,1,1,1,2,2,3,3,1,1,1,1,1,
1,1,1],[1,1,36,4,1,4,4,3,18,1,4,4,4,12,12,12,24,12,12,1,9,9,4,3,12,6,12,12,9,
4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,1,36,1,4,8,3,18,1,12,4,8,12,24,12,24,1,9,
9,4,3,6,12,24,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,1,36,1,1,1,1,3,18,1,1,1,1,
12,12,12,12,1,9,9,1,3,3,3,3,6,6,6,6,9,1,4,1,1,1,1,3,3,3,3,3,3,3,3,3,2,3,3,3,3,
1,1,1,1],[1,6,7,15,15,2,2,9,9,15,9,6,9,27,9,18,2,2,6,8,6,6,2,8,2,6,6,6,9,9,9,
9,9,9,9,1,6,6,2,8,6,6,6,6,6,6,6,12,9,1,2,2,2,1,1,2,6,6,1,1,1,1,1,1,1,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,36,5,4,4,3,18,5,4,4,12,12,12,36,12,1,9,9,4,3,18,12,12,9,
4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,1,36,4,1,4,4,3,18,4,1,4,4,12,12,24,12,12,
12,1,9,9,4,3,12,12,6,12,9,4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,1,36,1,4,4,4,3,
18,4,1,4,4,12,24,12,12,12,12,1,9,9,4,3,12,12,6,12,9,4,4,4,1,1,1,1,3,3,4,3,3,3,
3,1,1],[1,1,36,4,1,4,4,3,18,1,4,4,4,12,12,12,12,24,12,1,9,9,4,3,12,12,6,12,9,
4,4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,5,30,10,10,10,25,20,20,16,5,5,10,5,20,10,
20,20,16,1,5,5,10,10,5,1,1],[1,9,1,1,1,1,12,24,9,12,9,9,9,1,4,12,8,12,12,12,9,
12,12,12,1,4,8,1,12,1,1],[1,81,1,4,4,4,3,6,6,12,27,81,108,108,108,162,162,324,
4,3,3,4,6,6,6,6,8,12,12,12,12,12,12,12,27,27,36,36,54,54,54,54,72,108,108,108,
108,108,108,108,1,3,4,4,4,6,6,12,3,9,12,12,12,18,18,36,1,1],[1,9,1,4,4,4,3,6,
6,12,9,6,6,9,18,4,3,3,4,6,6,6,6,8,12,12,12,12,12,12,12,1,6,6,6,6,6,6,9,12,1,3,
4,4,4,6,6,12,1,1,2,6,6,1,1],[1,9,1,4,4,4,3,6,6,12,3,3,6,18,18,4,3,3,4,6,6,6,6,
8,12,12,12,12,12,12,12,1,6,6,6,6,6,6,9,12,1,3,4,4,4,6,6,12,2,2,3,3,6,1,1],[1,
9,3,1,3,12,3,12,9,9,9,9,4,3,3,3,3,6,3,3,3,12,9,1,1,2,1,3,1,1],[1,9,4,3,15,12,
18,9,9,3,7,6,6,3,3,15,9,1,1,2,1,3,1,1],[1,9,1,3,3,12,3,12,9,9,9,9,4,3,3,3,3,6,
3,3,3,12,9,1,1,2,1,3,1,1],[1,3,1,4,4,4,3,6,6,12,3,1,6,6,6,3,3,3,3,6,4,3,3,4,6,
6,6,6,8,12,12,12,12,12,12,12,1,1,1,1,1,6,2,2,2,2,3,3,3,3,3,6,6,6,1,3,4,4,4,6,
6,12,1,1,1,1,1,2,2,2,2,3,1,1],[1,27,1,4,4,4,3,6,6,12,9,9,9,9,9,18,18,18,18,27,
4,3,3,4,6,6,6,6,8,12,12,12,12,12,12,12,3,3,3,3,3,6,6,6,6,9,9,9,9,9,18,18,18,
18,1,3,4,4,4,6,6,12,1,3,3,3,3,3,6,6,6,6,1,1],[1,27,1,1,1,1,12,24,9,9,9,9,27,
27,54,1,4,12,8,12,12,3,3,9,9,6,9,9,9,9,9,1,4,8,1,3,3,6,1,1],[1,27,3,1,3,12,3,
9,27,27,27,27,27,4,3,3,3,3,6,3,9,9,9,9,9,1,1,2,1,3,1,1],[1,27,1,3,3,12,3,27,9,
27,27,27,27,4,3,3,3,3,6,3,9,9,9,9,9,1,1,2,1,3,1,1],[1,27,1,3,3,12,3,9,9,9,9,
27,27,4,3,3,3,3,6,3,3,9,6,9,9,9,1,1,2,3,3,6,1,1],[1,27,4,3,15,27,36,27,54,3,7,
6,6,9,12,18,9,1,1,2,1,3,1,1],[1,27,3,1,3,12,3,9,9,9,9,27,27,4,3,3,3,3,6,3,3,9,
6,9,9,9,1,1,2,3,3,6,1,1],[1,27,4,3,15,9,9,18,27,27,3,7,6,6,3,3,9,9,6,18,1,1,2,
3,3,6,1,1],[1,27,3,1,3,3,12,9,9,9,9,27,27,1,3,3,3,3,3,3,3,3,9,3,3,3,9,9,9,1,1,
1,1,3,3,3,3,1,1],[1,27,1,1,1,1,3,6,9,9,9,9,27,1,1,3,2,3,3,3,3,3,3,9,3,3,3,9,9,
9,1,1,1,1,3,6,1,3,3,3,3,1,1],[1,27,1,3,3,3,12,9,9,9,9,27,27,1,3,3,3,3,3,3,3,3,
9,3,3,3,9,9,9,1,1,1,1,3,3,3,3,1,1],[1,27,4,3,6,9,9,9,18,27,27,3,4,6,3,3,3,3,9,
9,3,3,3,18,1,1,1,1,3,3,3,3,1,1],[1,15,1,10,20,5,6,15,10,10,6,5,5,10,6,10,6,5,
1,1],[1,15,1,10,20,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,13,30,16,30,6,30,45,
12,36,16,16,16,2,15,3,30,9,18,18,36,36,12,16,3,6,9,9,18,18,8,12,12,12,1,9,9,
12,3,1,1],[1,5,22,16,18,6,10,21,12,12,32,16,2,7,3,10,9,18,6,12,12,12,16,1,6,9,
3,6,6,4,8,16,1,3,3,4,1,1,1],[1,1,12,18,12,16,12,6,9,12,18,12,36,18,36,16,16,
16,2,3,3,9,18,12,12,36,18,18,36,12,16,6,9,3,9,18,18,8,12,12,12,1,9,9,12,3,1,
1],[1,1,12,18,12,16,12,6,9,12,18,12,36,18,36,16,16,16,2,3,3,9,18,12,12,36,18,
18,36,12,16,6,9,3,9,18,18,8,12,12,12,1,9,9,12,3,1,1],[1,5,22,1,18,6,10,21,12,
12,5,22,2,7,3,10,9,18,6,12,12,6,18,10,21,12,12,1,6,9,3,6,6,2,7,3,10,9,6,18,12,
12,1,3,3,1,6,3,9,6,6,1,1,3,3,1],[1,5,22,16,18,6,10,21,12,12,16,16,16,2,7,3,10,
9,18,6,12,12,12,16,1,6,9,3,6,6,8,4,4,12,1,3,3,4,1,1,1],[1,5,22,16,18,6,10,21,
12,12,16,16,16,2,7,3,10,9,18,6,12,12,12,16,1,6,9,3,6,6,8,12,4,4,1,3,3,4,1,1,
1],[1,1,12,18,12,16,12,6,9,12,18,12,36,18,36,16,16,16,2,3,3,9,18,12,12,36,18,
18,36,12,16,6,9,3,9,18,18,8,12,12,12,1,9,9,12,3,1,1],[1,1,12,18,12,1,12,6,9,
12,18,12,36,18,36,4,1,18,4,2,3,3,9,18,12,12,36,18,18,36,6,12,6,9,12,4,6,12,12,
6,9,3,9,18,18,2,3,3,9,4,4,12,6,18,6,12,1,9,9,1,6,9,3,6,6,3,1,3,3,1],[1,1,18,
24,16,12,6,9,12,6,6,12,12,12,16,16,16,2,3,3,9,18,6,6,12,12,12,12,12,12,12,16,
6,9,3,3,6,6,6,12,12,8,12,4,4,1,3,3,6,6,4,8,3,1,1],[1,1,18,24,16,12,6,9,12,6,6,
12,12,12,16,16,16,2,3,3,9,18,6,6,12,12,12,12,12,12,12,16,6,9,3,3,6,6,6,12,12,
8,12,4,4,1,3,3,6,6,4,8,3,1,1],[1,1,4,18,4,16,12,6,9,12,6,4,12,6,12,16,16,16,2,
3,3,9,18,4,4,12,6,6,12,12,16,6,9,1,3,6,6,8,12,4,4,1,3,3,4,1,1,1],[1,5,14,1,10,
2,10,17,4,4,24,5,14,5,1,10,1,4,2,4,4,12,12,2,10,10,17,4,8,4,1,1,1,2,2,6,6,5,1,
10,1,2,4,4,4,4,4,1,3,3,1,1,1,2,2,2,2,3,1,1,1,1],[1,1,18,24,16,12,6,9,12,6,6,
12,12,12,16,16,16,2,3,3,9,18,6,6,12,12,12,12,12,12,12,16,6,9,3,3,6,6,6,12,12,
8,12,4,4,1,3,3,6,6,4,8,3,1,1],[1,1,10,24,1,4,2,5,4,6,8,30,12,12,12,1,10,8,1,1,
1,4,4,12,6,6,12,12,12,12,12,2,4,2,5,4,4,10,4,4,8,1,2,3,6,3,6,6,1,1,1,2,4,4,4,
2,4,4,4,4,4,1,3,3,2,1,1,1,2,2,2,3,1,1,1,1],[1,1,18,24,16,12,6,9,12,6,6,12,12,
12,16,16,16,2,3,3,9,18,6,6,12,12,12,12,12,12,12,16,6,9,3,3,6,6,6,12,12,8,12,4,
4,1,3,3,6,6,4,8,3,1,1],[1,5,12,14,36,1,10,2,10,17,4,18,6,36,4,18,30,60,36,36,
4,5,14,12,5,1,10,1,4,6,2,4,12,12,12,4,18,18,18,18,30,18,18,36,12,36,12,12,12,
12,12,12,2,10,6,10,2,17,4,12,10,6,20,12,12,4,1,1,1,3,6,2,2,6,3,3,3,6,18,6,6,
18,6,6,6,18,18,12,12,12,12,5,1,2,10,1,4,4,4,6,6,6,10,2,6,4,6,6,4,4,12,12,4,4,
4,4,4,4,4,1,6,3,3,6,6,6,6,6,1,1,2,2,1,1,1,1,1,2,2,2,2,2,6,2,2,6,6,2,6,4,4,4,4,
3,2,1,1,1,2,2,2,2,2,1],[1,1,18,24,1,12,6,9,12,6,6,12,12,12,1,18,8,2,3,3,9,18,
6,6,12,12,12,12,12,12,6,12,2,9,12,4,2,4,4,6,9,3,3,6,6,6,12,12,2,3,3,9,2,4,18,
2,4,4,4,4,4,1,3,3,6,6,6,1,9,1,2,2,2,4,4,3,1,1,1,2,2,1],[1,1,12,10,12,1,4,2,5,
4,18,12,8,12,18,36,4,1,10,4,1,1,1,4,4,12,12,12,6,18,12,12,2,4,6,5,4,4,6,4,12,
8,1,2,3,3,6,6,6,1,1,1,4,4,4,6,4,4,2,4,4,1,3,3,1,2,1,1,2,2,2,3,1,1,1,1],[1,1,
18,24,16,12,6,9,12,6,6,12,12,12,16,16,16,2,3,3,9,18,6,6,12,12,12,12,12,12,12,
16,6,9,3,3,6,6,6,12,12,4,4,12,4,4,1,3,3,6,6,4,4,4,3,1,1],[1,1,18,24,4,12,6,9,
12,6,6,12,12,12,4,16,2,3,3,9,18,6,6,12,12,12,12,12,12,12,8,6,9,3,3,6,6,6,12,
12,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,5,8,22,24,4,10,6,10,21,12,16,4,24,12,
12,24,48,24,24,4,8,8,4,8,8,4,5,3,10,3,12,4,6,12,12,8,12,12,12,12,12,12,24,12,
12,24,12,24,12,12,12,12,12,12,1,4,4,4,8,8,4,4,4,4,8,8,1,3,3,3,4,6,6,4,3,3,3,6,
12,6,6,12,6,6,6,12,12,12,12,12,12,1,2,2,1,1,4,2,2,4,4,4,4,4,4,3,4,3,3,6,6,6,6,
6,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,18,24,4,12,6,9,12,6,6,12,12,
12,4,16,2,3,3,9,18,6,6,12,12,12,12,12,12,12,8,6,9,3,3,6,6,6,12,12,1,4,4,4,1,3,
3,6,6,3,2,4,3,1,1,1,1],[1,1,18,24,4,12,6,9,12,6,6,12,12,12,4,16,2,3,3,9,18,6,
6,12,12,12,12,12,12,12,8,6,9,3,3,6,6,6,12,12,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,
1],[1,9,1,12,27,12,9,9,4,27,12,9,1,1,3,1],[1,6,27,4,3,6,9,27,27,2,12,6,18,18,
6,27,27,3,4,6,6,27,9,9,3,2,2,4,6,18,18,9,1,1,9,3,6,3,2,3,1,1,1,1],[1,6,18,9,1,
2,4,2,4,9,27,27,6,6,2,9,6,12,6,6,6,12,18,27,1,2,2,4,4,9,9,9,6,18,1,2,2,2,4,6,
6,6,6,6,12,9,1,1,3,3,6,6,1,2,2,3,1,1,1,1],[1,9,27,27,4,3,6,27,27,81,3,18,18,
27,18,18,27,36,54,27,3,4,6,27,18,27,27,54,54,3,6,6,18,18,9,9,12,18,27,1,9,3,9,
18,18,18,1,3,3,9,1,3,3,1],[1,6,6,9,4,3,6,9,9,9,2,12,2,6,6,6,6,9,12,12,9,3,4,6,
6,9,6,9,9,1,2,2,4,4,4,6,6,6,6,9,1,1,1,1,6,6,1,2,2,1,1,1,1,1],[1,6,9,18,4,3,6,
9,27,27,2,6,6,9,12,12,6,6,12,18,27,3,4,6,9,6,9,9,18,1,2,4,4,6,6,6,6,6,12,9,1,
1,3,3,6,6,1,2,2,3,1,1,1,1],[1,3,9,27,4,3,6,9,27,27,1,6,6,9,6,6,27,36,54,27,3,
4,6,9,9,9,18,18,1,2,2,6,6,9,3,12,18,9,1,1,3,3,6,6,1,1,1,3,1,1,1,1],[1,1,1,5,5,
5,4,8,4,8,3,1,5,5,5,4,4,4,4,8,1,5,4,4,4,4,4,8,8,8,3,3,3,3,5,4,4,4,4,4,8,8,8,1,
1,1,1,1,1,1,1,1,1,1,1,1,4,3,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,9,27,1,2,4,2,
4,27,9,27,1,9,9,6,6,6,6,18,36,18,36,27,1,2,2,4,4,9,9,9,18,18,1,2,2,6,6,6,3,3,
6,12,12,9,1,3,1,3,6,6,1,1,1,3,1,1,1,1],[1,6,15,1,2,4,2,4,9,9,9,6,2,15,6,8,6,6,
12,12,9,1,2,2,4,4,9,9,6,6,9,1,2,2,4,6,6,8,2,6,4,9,1,1,1,1,6,6,1,2,2,1,1,1,1,
1],[1,9,36,1,12,9,54,12,9,12,36,36,27,4,9,18,36,12,4,12,9,1,12,1,4,1,2,1],[1,
21,15,27,1,2,4,2,4,9,45,81,7,15,6,9,12,6,8,6,6,24,12,18,36,18,36,27,1,2,2,4,4,
15,9,6,27,24,18,18,36,18,36,1,2,8,2,6,6,8,2,6,6,3,3,12,4,6,12,12,9,18,1,1,3,8,
6,6,6,3,6,6,12,6,12,1,2,1,1,2,6,3,1,1,1,2,2,1],[1,9,1,12,9,12,9,27,4,9,12,9,1,
1,1,1],[1,6,3,9,45,1,2,4,2,4,9,18,27,27,54,1,6,2,9,15,6,6,6,12,6,6,6,18,12,36,
18,18,36,27,1,2,2,4,4,9,6,6,9,9,18,6,18,18,18,18,18,18,36,1,2,2,4,2,2,2,6,6,6,
6,3,3,6,6,6,12,12,12,9,18,1,1,2,6,3,3,6,6,6,6,6,6,6,6,12,1,2,1,1,2,3,6,1,1,1,
2,2,1],[1,27,18,4,3,6,27,9,27,18,18,27,6,6,12,18,27,3,4,6,27,9,9,18,3,2,18,18,
6,6,12,9,1,9,1,3,6,3,2,3,1,1,1,1],[1,18,9,18,1,2,4,2,4,27,9,27,6,9,6,6,12,6,6,
18,6,12,18,27,1,2,2,4,4,9,9,9,18,18,1,2,6,2,6,6,6,12,6,6,12,9,1,3,1,6,3,6,1,2,
2,3,1,1,1,1],[1,6,3,9,45,4,3,6,9,18,27,27,54,2,12,1,6,6,6,6,9,6,6,6,6,27,48,
18,54,27,3,4,6,6,9,6,6,9,9,36,18,18,18,18,18,18,18,1,2,2,4,2,2,2,6,6,6,9,3,12,
6,6,18,12,9,18,1,1,6,2,3,3,6,6,6,6,6,6,6,6,12,1,1,2,1,2,3,6,1,1,1,2,2,1],[1,
15,18,1,2,4,2,4,9,27,27,15,6,6,8,6,12,6,12,18,27,1,2,2,4,4,9,9,6,9,18,1,2,6,8,
2,6,4,6,6,12,9,1,1,3,3,6,6,1,2,2,3,1,1,1,1],[1,4,9,3,63,1,2,2,2,1,2,1,2,3,36,
27,27,54,3,4,1,3,2,3,2,2,21,4,6,4,1,4,1,3,2,9,6,9,12,12,12,9,36,36,18,36,18,9,
9,18,27,2,1,1,1,1,1,2,2,2,3,12,1,3,9,9,18,12,12,6,9,12,9,9,18,18,18,18,9,18,
18,9,9,9,18,9,18,18,1,1,1,1,1,2,3,3,3,1,3,4,1,3,1,1,4,3,3,1,1,1,1,3,3,3,2,6,
12,2,2,6,6,3,3,3,3,3,3,3,3,6,6,6,9,9,18,9,1,3,1,3,1,1,3,4,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,6,3,3,3,6,3,3,3,3,6,6,6,1,1,1,1,1,1,1,3,3,3,3,3,1,1,1,1,1,1,1,
1],[1,6,3,9,45,2,2,2,1,2,4,9,18,27,27,54,2,6,6,1,3,6,6,3,6,6,6,9,6,3,3,18,24,
24,9,18,18,36,27,1,1,1,4,2,2,2,6,3,3,9,6,9,9,9,18,18,9,18,18,18,18,18,18,1,1,
1,2,2,2,3,1,3,3,1,1,3,1,3,3,2,6,3,6,3,3,3,6,12,6,6,6,6,9,18,1,1,3,1,1,3,3,3,3,
3,3,3,6,3,3,3,3,6,3,3,6,6,6,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1],[1,5,10,1,10,
10,15,16,5,10,5,10,10,10,15,16,1,5,10,1,1,1],[1,11,25,15,10,5,15,25,15,15,45,
15,6,10,20,10,20,10,15,5,15,15,15,15,15,6,6,6,5,10,20,10,10,20,15,6,6,6,5,5,5,
10,6,5,1,1,1,1,1],[1,10,1,15,25,10,15,5,10,15,15,15,15,15,30,6,10,10,10,10,10,
10,10,15,5,15,15,15,15,15,6,6,6,5,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,
1,1,1,1,1],[1,1,4,4,4,3,6,15,30,4,3,3,7,15,6,6,6,14,12,21,12,21,12,12,12,6,6,
6,1,1,3,4,7,4,6,6,2,2,8,2,12,6,12,1,1,1,1,1,2,2,2,2,1],[1,1,18,8,16,16,12,6,9,
12,8,16,16,2,3,3,9,18,16,12,12,24,6,9,16,2,8,8,8,12,12,1,6,8,1,1,2,1],[1,1,18,
8,16,16,12,6,9,12,8,16,16,2,3,3,9,18,16,12,12,24,6,9,16,2,8,8,8,12,12,1,6,8,1,
1,2,1],[1,1,18,1,16,32,12,6,9,12,1,18,16,32,2,3,3,9,18,16,6,12,9,12,12,24,6,9,
16,2,3,3,8,8,8,9,12,18,24,1,12,6,9,8,12,1,1,2,1],[1,1,18,8,16,16,12,6,9,12,8,
16,16,2,3,3,9,18,16,12,12,24,6,9,16,2,8,8,8,12,12,1,6,8,1,1,2,1],[1,1,18,1,16,
32,12,6,9,12,1,18,16,16,16,2,3,3,9,18,16,6,12,12,9,12,24,6,9,16,2,3,3,8,8,8,9,
12,12,12,18,1,12,6,9,8,12,1,1,1,1,1],[1,1,18,1,4,4,4,12,6,9,12,1,18,4,4,4,2,3,
3,9,18,4,6,12,9,12,12,12,12,6,9,4,1,1,2,1,3,3,4,4,4,9,18,1,12,6,3,3,3,9,1,4,1,
1,1,1,3,1],[1,1,18,4,4,16,16,12,6,9,12,4,4,16,16,2,3,3,9,18,16,12,12,12,12,6,
9,16,1,1,4,4,4,8,4,12,12,1,3,3,4,4,1,1,1,1,1],[1,1,18,4,4,16,16,12,6,9,12,4,4,
16,16,2,3,3,9,18,16,12,12,12,12,6,9,16,1,1,4,4,4,4,8,12,12,1,3,3,4,4,1,1,1,1,
1],[1,1,18,4,4,16,16,12,6,9,12,4,4,16,16,2,3,3,9,18,16,12,12,12,12,6,9,16,1,1,
4,4,4,8,4,12,12,1,3,3,4,4,1,1,1,1,1],[1,1,6,72,1,4,4,4,4,3,36,36,36,1,6,4,4,4,
24,48,48,48,1,3,3,18,18,36,4,4,3,12,4,4,4,12,12,24,24,24,1,9,9,18,18,4,16,1,1,
1,1,3,3,6,12,6,12,12,12,9,4,8,1,1,1,1,3,3,6,6,6,6,6,1,4,3,3,3,3,1,2,1],[1,1,6,
1,4,4,4,4,3,18,18,1,6,4,4,4,1,3,3,18,18,4,4,6,3,6,4,4,4,1,9,9,4,1,1,1,1,3,6,3,
6,12,12,12,9,4,1,1,1,1,3,3,1,4,3,3,3,3,1,1],[1,3,24,16,36,1,4,8,1,3,9,12,48,9,
36,6,9,54,108,18,18,8,3,16,12,12,24,8,4,24,8,12,24,3,1,9,3,6,36,6,36,6,9,9,9,
54,9,9,18,18,18,18,18,18,18,4,1,1,16,3,3,9,12,12,2,18,3,4,36,6,6,6,24,12,12,
24,24,9,3,3,9,9,9,9,18,18,18,18,4,8,8,4,4,3,3,1,1,2,12,2,2,12,3,3,3,3,3,18,3,
3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,9,1,8,4,4,4,8,3,1,1,3,3,3,3,3,3,3,6,6,6,6,6,6,
6,1,1,1,2,2,4,3,3,1,1,1,2,2,1],[1,5,6,10,18,1,4,8,10,10,15,3,3,18,9,9,18,18,
18,2,5,10,6,8,8,8,4,24,8,5,10,3,6,9,9,9,9,9,9,9,18,18,4,1,10,1,10,1,15,6,2,3,
3,4,6,6,6,8,12,12,1,3,3,9,9,9,9,8,8,4,5,1,1,10,2,2,2,2,2,3,3,3,3,3,3,3,6,6,6,
12,3,1,4,4,4,1,1,1,1,2,3,3,3,3,3,3,1,2,2,4,1,3,1,1,1,1],[1,3,16,36,1,4,8,1,3,
9,12,3,6,27,18,18,18,3,16,12,8,4,8,24,24,24,3,1,3,6,6,18,18,9,9,18,18,18,4,1,
1,3,1,9,12,2,6,9,4,6,6,6,12,12,24,3,3,9,9,9,9,9,8,8,4,3,1,1,2,2,3,6,3,3,6,6,6,
6,6,6,6,6,6,12,9,1,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,2,2,4,3,3,1,1,1,1],[1,5,18,
10,54,1,4,8,10,10,15,9,9,54,27,27,54,54,54,6,5,10,12,18,8,24,8,8,4,8,24,24,24,
12,24,5,10,9,18,27,27,27,27,27,27,27,54,54,4,1,10,3,10,3,15,18,2,9,9,4,18,18,
18,24,24,8,24,12,12,24,24,24,24,24,1,9,9,27,27,27,27,4,8,8,4,4,5,3,1,10,6,2,2,
2,2,3,3,9,9,9,9,9,9,9,6,6,18,18,6,6,6,12,24,9,1,8,4,4,4,8,1,1,3,3,2,3,3,9,9,9,
9,6,6,6,6,6,6,6,6,1,1,1,2,2,4,3,3,6,1,1,1,2,2,1],[1,3,18,4,18,1,4,8,1,6,3,3,9,
12,18,6,18,9,18,6,3,4,12,6,24,4,8,12,24,1,3,9,3,9,9,9,18,9,9,18,18,4,6,1,1,3,
3,4,3,6,2,3,6,4,6,6,12,12,24,3,3,9,9,9,9,9,4,4,4,3,1,1,3,2,3,3,6,3,3,3,3,3,3,
6,6,6,6,12,9,1,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,1,1,4,3,3,1,1,1,1],[1,5,22,1,4,8,
10,6,10,21,12,12,5,22,8,8,8,8,4,8,5,3,10,3,12,6,12,12,4,6,1,10,10,21,12,2,4,4,
4,12,8,1,3,3,6,6,8,8,4,5,3,1,10,3,2,2,2,2,2,6,12,4,12,12,3,1,4,4,4,1,1,1,1,3,
3,2,6,6,1,2,2,4,1,3,1,1,1,1],[1,3,6,4,54,1,4,8,1,6,3,3,3,18,6,18,27,18,36,36,
2,3,4,18,4,24,8,24,24,24,1,3,3,6,18,9,9,18,18,18,18,36,18,4,6,1,1,1,3,3,6,2,9,
6,4,6,12,12,6,12,12,24,3,3,9,9,9,9,9,8,8,4,1,1,3,2,2,6,3,3,6,3,6,6,6,6,6,6,12,
6,6,12,9,1,4,4,4,1,1,3,3,3,3,3,3,3,3,6,1,2,2,4,3,3,1,1,1,1],[1,7,12,12,48,1,4,
8,3,9,9,4,18,9,48,6,9,36,72,54,54,4,7,4,12,16,4,4,8,12,12,24,12,12,24,1,3,9,3,
6,12,18,12,6,9,9,9,36,27,9,18,54,18,18,18,18,18,4,3,6,9,3,9,4,1,16,4,12,3,2,
24,18,18,6,12,12,12,12,12,12,24,3,3,9,9,9,9,9,18,18,18,18,4,4,4,4,4,4,4,1,3,3,
4,6,1,1,1,4,3,3,3,12,3,3,9,2,6,6,3,18,6,3,3,6,3,6,6,6,6,6,6,12,9,1,4,4,4,4,4,
4,4,1,3,1,3,3,3,3,3,3,6,3,3,3,6,3,6,6,3,6,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,1,
1],[1,5,30,10,10,10,25,20,20,40,16,5,5,10,5,20,10,20,20,20,20,16,1,5,5,10,10,
10,10,16,5,5,5,5,1,1,1],[1,27,4,3,42,27,18,18,27,3,16,6,24,27,27,3,18,18,1,4,
8,9,3,4,1,1],[1,27,1,4,4,4,3,6,6,12,27,27,18,18,27,54,4,3,3,4,6,6,6,6,8,12,12,
12,12,12,12,12,27,27,3,18,18,18,18,18,18,27,36,1,3,4,4,4,6,6,12,9,27,3,3,6,18,
18,1,1,9,3,1],[1,27,4,3,6,36,27,18,18,27,3,4,6,12,12,12,27,27,3,18,18,1,4,4,4,
9,3,4,1,1],[1,9,9,81,1,4,4,4,3,6,6,12,81,3,9,3,27,6,6,6,9,18,18,18,81,108,108,
108,162,162,324,4,3,3,4,6,6,6,6,8,12,12,12,12,12,12,12,27,27,54,54,54,1,1,6,6,
6,6,6,6,6,6,6,6,6,6,27,9,27,9,36,12,36,12,54,54,54,54,72,108,108,108,108,108,
108,108,1,3,4,4,4,6,6,12,9,9,18,18,18,18,18,18,36,1,3,1,2,2,2,3,3,9,12,12,12,
6,18,6,6,18,36,1,3,3,6,6,6,1,1,1,1],[1,9,1,4,4,4,3,6,6,12,27,9,6,6,9,18,4,3,3,
4,6,6,6,6,8,12,12,12,12,12,12,12,9,27,1,6,6,6,6,6,6,9,12,1,3,4,4,4,6,6,12,3,9,
1,1,2,6,6,1,1,3,1,1],[1,6,9,1,4,4,4,3,6,6,12,9,6,2,9,12,12,12,6,6,6,6,6,6,9,
12,18,4,3,3,4,6,6,6,6,8,12,12,12,12,12,12,12,9,6,9,18,1,2,2,2,2,2,12,4,4,4,4,
6,6,6,6,6,6,6,6,6,6,6,9,12,12,12,12,1,3,4,4,4,6,6,12,1,6,6,6,6,9,1,1,2,2,2,2,
2,2,4,4,4,4,6,6,6,1,1,1,2,6,1,2,1],[1,18,9,1,4,4,4,3,6,6,12,27,6,9,6,12,6,6,9,
36,36,18,4,3,3,4,6,6,6,6,8,12,12,12,12,12,12,12,9,18,27,1,2,12,12,6,12,12,6,
12,6,6,6,6,12,9,18,24,12,1,3,4,4,4,6,6,12,3,6,9,18,1,1,4,4,2,6,6,6,6,12,1,1,3,
6,1,2,1],[1,9,1,1,1,1,12,24,9,9,12,9,9,9,1,4,12,8,12,12,9,9,9,9,12,9,12,12,12,
1,4,8,9,1,12,1,1,1,1],[1,9,1,4,4,4,3,6,6,12,27,9,6,6,9,18,4,3,3,4,6,6,6,6,8,
12,12,12,12,12,12,12,9,27,1,6,6,6,6,6,6,9,12,1,3,4,4,4,6,6,12,3,9,1,1,2,6,6,1,
1,3,1,1],[1,9,54,1,4,4,4,3,6,6,12,81,9,18,6,6,9,18,18,18,18,18,36,36,36,36,54,
4,3,3,4,6,6,6,6,8,12,12,12,12,12,12,12,27,27,54,54,1,6,6,6,6,6,6,6,6,6,6,6,9,
12,12,12,12,12,18,18,18,18,18,36,36,36,36,1,3,4,4,4,6,6,12,9,9,18,18,18,18,1,
1,2,2,6,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,1,2,1],[1,9,54,1,1,1,1,12,24,81,9,
12,9,9,9,18,18,18,18,54,54,108,1,4,12,8,12,12,27,27,27,54,27,12,9,12,12,12,6,
6,18,18,12,18,18,18,18,18,1,4,8,9,18,18,18,18,1,2,12,6,6,12,1,3,6,1,2,1],[1,3,
108,1,4,4,4,3,6,6,12,81,3,1,6,6,6,36,3,3,3,3,6,9,9,9,9,81,126,126,18,126,162,
27,162,324,4,3,3,4,6,6,6,6,8,12,12,12,12,12,12,12,27,27,27,54,54,27,27,27,54,
54,1,1,1,1,1,6,2,2,2,2,3,3,3,3,3,3,3,3,3,3,27,27,6,36,6,42,6,6,6,6,9,9,54,9,9,
9,54,54,54,72,108,108,108,18,108,108,108,18,18,18,108,1,3,4,4,4,6,6,12,9,9,9,
9,9,9,9,9,18,9,9,18,18,18,18,18,18,18,3,1,1,1,1,1,1,9,2,12,2,12,2,12,2,3,3,3,
18,3,3,18,3,6,36,6,6,6,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1],[1,3,9,27,1,4,4,4,3,6,6,
12,27,3,3,1,6,3,6,6,9,3,6,3,3,3,6,18,18,9,9,9,9,18,18,18,18,27,4,3,3,4,6,6,6,
6,8,12,12,12,12,12,12,12,9,9,9,9,9,27,1,1,1,1,1,1,6,2,2,2,2,6,3,3,6,3,3,3,6,3,
3,3,3,6,6,3,6,9,6,12,6,6,6,6,6,6,9,9,9,9,9,18,18,18,18,1,3,4,4,4,6,6,12,3,3,3,
3,3,9,9,9,9,9,2,1,1,1,2,1,1,1,3,3,2,2,2,2,3,3,3,3,3,6,3,6,6,6,6,1,1,3,3,3,3,3,
1,1,1,1],[1,9,54,1,3,3,12,3,81,12,9,9,9,9,9,36,18,9,27,54,54,27,4,3,3,3,3,6,
27,27,54,27,27,3,3,3,12,6,9,3,9,9,6,9,9,18,9,9,9,1,1,2,9,9,9,9,18,1,3,1,3,6,6,
1,3,3,1,1,1,1],[1,9,54,4,3,15,81,12,18,9,9,9,9,27,54,54,81,3,7,6,6,54,54,27,
27,3,3,15,3,9,9,15,9,9,18,6,27,1,1,2,9,9,9,27,1,1,3,3,6,6,1,3,3,1,1,1,1],[1,9,
54,3,1,3,12,3,81,12,9,9,9,9,9,18,9,36,27,54,54,27,4,3,3,3,3,6,27,27,27,54,27,
3,3,3,12,9,6,3,9,9,6,9,9,9,9,18,9,1,1,2,9,9,9,9,18,1,1,3,3,6,6,1,3,3,1,1,1,
1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,3,15,45,
1,10,20,5,45,45,6,1,15,15,10,30,30,60,15,10,6,18,18,5,5,10,15,15,30,6,10,10,
10,18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,15,30,1,10,20,5,45,45,6,15,10,10,30,60,
30,45,10,6,5,5,15,10,15,30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,3,15,
45,1,10,20,5,45,45,6,1,15,15,10,30,30,60,15,10,6,18,18,5,5,15,10,15,30,6,10,
10,10,18,5,15,6,6,6,5,10,1,6,5,3,1,1],[1,10,15,1,10,20,15,5,15,6,10,10,15,10,
10,20,15,10,6,15,5,5,10,10,15,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,25,1,
10,20,5,15,15,6,25,20,10,20,15,10,6,5,5,15,10,10,15,6,20,10,6,5,15,6,5,10,1,6,
5,1,1,1],[1,30,15,1,10,20,5,45,45,6,10,15,30,60,10,30,45,10,6,5,5,15,10,15,30,
6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,5,12,22,36,1,18,6,10,21,12,18,6,
36,12,42,30,60,36,36,4,5,22,12,2,7,3,10,9,18,6,6,12,12,12,12,12,42,18,30,18,
30,18,18,60,12,36,12,12,12,12,12,12,12,6,18,6,10,2,21,12,12,10,14,20,12,12,12,
1,6,9,3,3,6,6,6,6,3,9,3,18,18,6,6,30,6,6,6,6,18,18,12,12,12,12,12,12,2,7,3,2,
10,9,4,4,4,6,6,14,10,6,6,18,6,10,12,4,12,20,4,4,4,12,4,4,4,4,1,3,3,6,3,3,9,9,
6,6,6,6,6,6,6,1,1,6,2,2,3,1,9,1,3,6,2,2,6,6,2,10,2,2,6,6,2,6,4,4,4,4,4,4,1,3,
3,3,3,3,3,1,2,3,3,3,1,3,1,2,2,2,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,13,4,30,28,16,
30,6,30,45,12,6,6,28,36,18,18,36,36,36,16,16,16,16,16,16,16,2,15,3,30,9,18,6,
18,36,4,12,4,36,18,18,18,18,18,18,18,36,12,36,12,12,12,12,12,12,12,12,16,16,
16,16,16,16,16,3,6,9,9,1,6,18,18,6,3,3,3,6,18,6,6,18,6,6,6,6,18,18,12,12,12,
12,12,12,8,12,12,12,4,4,4,4,16,1,9,9,6,3,3,3,3,6,6,6,6,6,6,6,12,4,4,4,4,4,4,8,
3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,5,12,22,36,16,18,6,10,21,12,18,6,36,12,42,30,
60,36,36,16,32,16,32,16,2,7,3,10,9,18,6,6,12,12,12,12,12,42,18,30,18,30,18,18,
60,12,36,12,12,12,12,12,12,12,12,16,32,16,16,32,1,6,9,3,3,6,6,6,6,3,9,3,18,18,
6,6,30,6,6,6,6,18,18,12,12,12,12,12,12,4,8,16,4,12,16,16,1,3,3,6,3,3,9,9,6,6,
6,6,6,6,6,4,4,4,8,16,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,5,12,22,36,16,18,6,10,
21,12,18,6,36,12,42,30,60,36,36,16,16,16,16,16,16,16,2,7,3,10,9,18,6,6,12,12,
12,12,12,42,18,30,18,30,18,18,60,12,36,12,12,12,12,12,12,12,12,16,16,16,16,16,
16,16,1,6,9,3,3,6,6,6,6,3,9,3,18,18,6,6,30,6,6,6,6,18,18,12,12,12,12,12,12,8,
12,4,4,4,12,12,4,16,1,3,3,6,3,3,9,9,6,6,6,6,6,6,6,4,4,12,4,4,4,4,8,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,5,12,22,36,16,18,6,10,21,12,18,6,36,12,42,30,60,36,36,
16,16,16,16,16,16,16,2,7,3,10,9,18,6,6,12,12,12,12,12,42,18,30,18,30,18,18,60,
12,36,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,1,6,9,3,3,6,6,6,6,3,9,3,18,
18,6,6,30,6,6,6,6,18,18,12,12,12,12,12,12,8,4,4,12,4,4,12,12,16,1,3,3,6,3,3,9,
9,6,6,6,6,6,6,6,4,4,4,4,4,12,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,9,27,45,4,
3,6,9,27,27,9,18,27,81,27,54,2,12,3,6,18,18,6,27,18,18,6,6,27,48,18,54,9,27,
27,27,27,27,27,3,4,6,6,27,9,9,6,6,18,9,9,27,27,36,54,18,18,18,18,18,54,27,3,2,
2,4,2,6,6,6,18,18,9,9,12,6,6,18,12,9,9,9,9,9,9,27,18,1,1,9,1,3,3,6,2,3,9,18,
18,6,18,6,6,6,6,6,12,9,1,3,2,3,2,3,1,3,3,3,9,3,6,1,1,1,1,3,1,3,2,2,3,1,1,1,1,
1,1,1,1],[1,1,108,1,5,5,5,4,8,4,8,3,54,1,5,5,5,36,4,4,4,4,8,36,36,36,36,36,
108,108,72,108,72,36,72,1,27,27,5,4,4,4,4,4,8,8,8,3,3,3,3,18,36,36,54,54,36,
36,54,72,27,5,12,12,12,4,4,4,4,12,12,4,12,8,24,36,8,8,24,24,12,12,12,12,24,24,
24,1,1,1,1,1,1,1,1,1,1,1,1,1,9,9,9,9,9,9,9,9,4,3,12,12,12,12,18,12,24,24,24,9,
9,9,9,9,9,9,9,9,9,9,9,9,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,4,3,3,3,3,3,3,3,3,
3,3,3,3,3,1,1],[1,6,21,15,45,1,2,4,2,4,9,9,45,27,18,9,81,27,54,7,6,2,15,6,15,
12,6,8,6,6,12,6,24,12,6,18,12,36,18,18,36,27,9,27,27,27,27,27,1,2,2,4,4,15,9,
9,9,6,6,6,27,9,18,9,6,24,18,18,36,18,18,18,18,18,36,36,27,1,2,2,2,4,8,2,2,6,6,
6,8,2,6,6,3,3,12,4,6,6,6,12,12,12,9,9,9,9,9,9,9,18,18,1,1,1,3,3,1,2,8,6,6,6,3,
6,3,6,6,6,6,12,6,6,6,6,6,12,12,9,1,2,2,1,1,2,2,1,3,6,3,3,3,3,3,6,1,1,1,1,1,1,
1,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,9,36,1,12,27,54,12,9,12,36,36,9,27,27,4,27,18,
36,27,12,4,12,9,9,9,1,12,9,1,4,3,2,1,1,1,1],[1,5,30,1,10,10,10,25,20,20,16,5,
30,5,5,10,5,20,10,20,20,16,10,10,10,25,20,20,16,1,5,5,10,10,5,5,10,5,10,20,20,
20,16,5,1,5,5,10,10,1,5,1,1,1],[1,9,1,4,4,4,3,6,15,30,9,12,18,18,18,9,9,9,9,
18,4,3,3,7,15,6,6,6,14,12,21,12,21,12,12,12,6,6,6,3,3,3,3,12,18,15,15,6,15,9,
9,9,9,9,18,18,18,1,1,3,4,7,4,6,6,2,2,8,2,12,6,12,1,3,3,3,3,3,6,6,6,15,9,1,1,1,
1,1,2,2,2,2,1,1,1,1,3,1,1],[1,81,1,4,4,4,3,6,15,30,27,27,27,27,27,54,54,54,54,
81,81,162,4,3,3,7,15,6,6,6,14,12,21,12,21,12,12,12,6,6,6,9,9,9,9,9,9,18,18,18,
18,27,27,27,27,27,27,18,18,18,18,54,27,54,54,54,27,1,1,3,4,7,4,6,6,2,2,8,2,12,
6,12,3,3,9,9,9,9,9,6,18,18,9,18,18,18,18,18,18,1,1,1,1,1,2,2,2,2,3,3,3,3,3,6,
6,6,6,1,1],[1,81,1,4,4,4,3,6,15,30,27,81,108,108,108,162,81,162,324,4,3,3,7,
15,6,6,6,14,12,21,12,21,12,12,12,6,6,6,27,27,36,36,54,27,54,54,54,72,108,108,
108,27,108,108,108,27,27,108,1,1,3,4,7,4,6,6,2,2,8,2,12,6,12,3,9,12,12,12,18,
18,36,9,9,18,1,1,1,1,1,2,2,2,2,1,3,3,3,3,1,1],[1,13,30,8,16,16,30,6,30,45,12,
36,16,8,16,16,48,16,48,2,15,3,30,9,18,18,36,36,16,12,12,16,24,48,3,6,9,9,18,
18,16,16,16,2,8,8,8,12,12,12,12,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,
13,30,1,16,32,30,6,30,45,12,36,13,16,30,16,16,32,2,15,3,30,9,18,18,36,36,16,6,
30,30,45,12,12,16,24,36,3,6,9,9,18,18,16,16,16,2,15,3,30,8,8,8,9,12,12,12,18,
18,24,36,36,1,9,9,12,16,3,6,9,9,12,18,18,3,8,12,12,12,1,1,2,9,9,12,1,3,1,1],[
1,13,30,8,16,16,30,6,30,45,12,36,16,8,48,16,16,16,48,2,15,3,30,9,18,18,36,36,
16,12,12,16,24,48,3,6,9,9,18,18,16,16,16,2,8,8,8,12,12,12,12,12,12,1,9,9,16,6,
12,12,3,8,1,1,2,1,3,1,1],[1,13,30,8,16,16,30,6,30,45,12,36,16,8,64,16,16,48,2,
15,3,30,9,18,18,36,36,16,12,12,16,48,24,3,6,9,9,18,18,16,16,16,2,12,8,8,8,24,
12,12,12,1,9,9,16,12,6,12,3,8,1,1,2,1,3,1,1],[1,1,36,18,36,1,16,32,12,6,9,12,
54,36,108,54,108,12,1,18,48,12,16,96,16,16,48,48,48,2,3,3,9,18,36,36,108,54,
54,108,16,6,12,12,18,9,12,12,24,18,36,36,48,48,48,6,9,9,27,54,54,16,16,16,2,3,
3,8,8,8,9,12,12,12,12,12,36,36,18,18,18,36,36,72,36,36,1,27,27,12,16,3,6,9,9,
18,18,36,36,36,9,12,8,12,12,1,1,1,1,9,9,12,3,3,3,3,1,1],[1,5,22,1,16,32,18,6,
10,21,12,12,5,22,32,32,32,16,32,2,7,3,10,9,18,6,12,12,16,6,12,18,10,21,12,24,
16,12,32,1,6,9,3,6,6,32,16,2,7,3,4,10,8,8,8,9,16,16,8,16,6,18,12,12,1,3,3,12,
16,1,6,4,3,9,8,6,6,1,4,8,16,1,1,1,1,3,3,4,1,1,1,1,1,1],[1,1,12,18,12,8,16,16,
12,6,9,12,18,12,36,18,36,8,16,16,16,48,16,48,2,3,3,9,18,12,12,36,18,18,36,16,
12,12,24,16,48,6,9,3,9,18,18,16,16,16,2,8,8,8,12,12,12,12,12,12,1,9,9,16,6,12,
12,3,8,1,1,2,1,3,1,1],[1,1,18,72,1,16,32,12,6,9,12,18,18,36,36,36,1,18,24,16,
16,16,48,48,48,48,96,2,3,3,9,18,18,18,36,36,36,36,36,36,16,6,12,12,6,9,12,24,
12,6,12,12,48,48,48,6,9,9,9,18,18,18,36,36,16,16,16,2,3,3,8,8,8,9,12,12,12,12,
6,12,18,6,24,12,12,12,12,12,12,12,12,1,9,9,18,18,12,16,6,3,9,3,6,6,6,12,12,12,
12,12,24,24,24,9,4,8,4,12,1,1,1,1,3,3,6,6,4,8,3,3,3,3,1,1],[1,1,12,18,12,1,16,
32,12,6,9,12,18,12,36,18,36,4,1,18,4,16,32,48,48,2,3,3,9,18,12,12,36,18,18,36,
16,6,12,6,9,12,12,4,6,12,24,12,48,6,9,3,9,18,18,16,16,16,2,3,3,8,8,8,9,4,12,4,
12,6,18,6,24,12,12,12,1,9,9,12,16,1,6,9,3,6,6,12,3,8,12,4,4,1,1,2,3,3,4,1,3,1,
1],[1,1,18,72,1,16,32,12,6,9,12,18,18,36,36,36,1,18,24,16,32,48,96,48,96,2,3,
3,9,18,18,18,36,36,36,36,36,36,16,6,12,6,9,12,12,12,6,24,12,12,48,96,6,9,9,9,
18,18,18,36,36,16,16,16,2,3,3,8,8,8,9,12,6,12,18,6,24,12,12,12,12,12,12,12,24,
24,1,9,9,18,18,12,16,6,3,9,3,6,6,6,12,12,12,24,24,24,24,9,8,4,12,4,1,1,2,3,3,
6,6,4,8,3,3,6,1,1],[1,1,12,18,12,8,16,16,12,6,9,12,18,12,36,18,36,8,16,16,16,
48,16,48,2,3,3,9,18,12,12,36,18,18,36,16,12,12,24,16,48,6,9,3,9,18,18,16,16,
16,2,8,8,8,12,12,12,12,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,1,18,72,8,
16,16,12,6,9,12,18,18,36,36,36,8,16,16,48,48,48,96,48,2,3,3,9,18,18,18,36,36,
36,36,36,36,16,12,12,24,48,48,48,6,9,9,9,18,18,18,36,36,16,16,16,2,8,8,8,12,
12,12,12,12,12,24,24,1,9,9,18,18,16,6,12,12,12,24,24,24,9,8,1,1,2,6,6,8,3,3,6,
1,1],[1,1,12,18,12,8,16,16,12,6,9,12,18,12,36,18,36,8,16,16,16,48,16,48,2,3,3,
9,18,12,12,36,18,18,36,16,12,12,24,16,48,6,9,3,9,18,18,16,16,16,2,8,8,8,12,12,
12,12,12,12,1,9,9,16,6,12,12,3,8,1,1,2,1,3,1,1],[1,1,18,72,8,16,16,12,6,9,12,
18,18,36,36,36,8,16,16,48,48,96,48,48,2,3,3,9,18,18,18,36,36,36,36,36,36,16,
12,12,24,48,48,48,6,9,9,9,18,18,18,36,36,16,16,16,2,8,8,8,12,12,12,12,12,12,
24,24,1,9,9,18,18,16,6,12,12,12,24,24,24,9,8,1,1,2,6,6,8,3,3,6,1,1],[1,1,18,
72,8,16,16,12,6,9,12,18,18,36,36,36,8,16,16,48,48,96,48,48,2,3,3,9,18,18,18,
36,36,36,36,36,36,16,12,12,24,48,48,48,6,9,9,9,18,18,18,36,36,16,16,16,2,8,8,
8,12,12,12,12,12,12,24,24,1,9,9,18,18,16,6,12,12,12,24,24,24,9,8,1,1,2,6,6,8,
3,3,6,1,1],[1,1,18,72,1,4,4,4,12,6,9,12,18,18,36,36,36,1,18,4,4,4,24,48,48,48,
2,3,3,9,18,18,18,36,36,36,36,36,36,4,6,12,6,9,12,12,6,12,12,12,12,12,24,24,24,
6,9,9,9,18,18,18,36,36,4,16,1,1,2,1,3,3,4,4,4,9,6,12,18,6,12,12,12,12,12,12,
12,12,12,12,12,1,9,9,18,18,12,8,6,3,3,3,3,9,3,6,6,6,12,6,6,6,12,12,12,12,9,1,
4,4,4,1,1,1,1,3,3,3,3,3,6,3,3,6,3,3,2,4,3,3,3,3,1,1,1,1],[1,5,24,22,72,1,4,8,
10,6,10,21,12,48,12,72,12,36,72,144,72,72,8,5,22,12,24,8,24,8,8,8,4,24,8,24,
24,24,12,24,5,3,10,3,12,12,6,12,36,24,36,12,36,36,36,36,72,36,36,72,36,72,36,
36,36,36,36,36,4,6,1,10,16,10,4,21,12,24,2,24,12,4,4,4,48,24,24,12,24,24,8,24,
24,12,12,12,12,24,24,24,24,24,24,1,3,3,9,12,6,6,12,9,9,9,18,36,18,18,36,18,18,
18,36,36,36,36,36,36,4,8,8,8,8,4,4,5,3,4,1,10,3,2,12,8,2,2,2,2,12,3,3,12,12,
12,24,6,12,12,12,12,4,6,12,12,6,6,24,24,12,12,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,24,3,12,9,9,18,18,18,18,18,1,8,8,4,4,4,4,4,4,4,8,8,1,3,1,1,4,4,1,3,3,
3,3,3,2,6,3,3,6,6,6,6,12,6,3,3,6,12,12,6,12,6,6,6,6,6,6,12,6,6,6,12,6,12,12,
12,9,1,1,1,2,2,2,2,4,4,4,4,4,4,4,1,4,3,3,3,3,6,3,6,3,6,6,3,6,3,3,6,1,1,1,1,1,
1,1,2,2,2,2,4,3,3,1,1,1,1,1,1,1,1],[1,1,18,72,4,4,16,16,12,6,9,12,18,18,36,36,
36,4,4,16,16,48,48,48,48,48,48,2,3,3,9,18,18,18,36,36,36,36,36,36,16,12,12,12,
12,48,24,24,48,6,9,9,9,18,18,18,36,36,16,16,16,1,1,4,4,4,8,4,12,12,12,12,12,
12,12,12,12,12,1,9,9,18,18,16,3,3,6,12,6,12,12,24,12,12,12,9,4,4,1,1,1,1,3,3,
3,3,4,4,3,3,3,3,1,1],[1,1,18,72,4,4,16,16,12,6,9,12,18,18,36,36,36,4,4,16,16,
48,48,48,48,48,48,2,3,3,9,18,18,18,36,36,36,36,36,36,16,12,12,12,12,48,24,24,
48,6,9,9,9,18,18,18,36,36,16,16,16,1,1,4,4,4,4,8,12,12,12,12,12,12,12,12,12,
12,1,9,9,18,18,16,3,3,12,6,6,12,12,12,12,12,24,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,
3,3,1,1],[1,1,18,72,4,4,16,16,12,6,9,12,18,18,36,36,36,4,4,16,16,48,48,48,48,
48,48,2,3,3,9,18,18,18,36,36,36,36,36,36,16,12,12,12,12,24,48,24,48,6,9,9,9,
18,18,18,36,36,16,16,16,1,1,4,4,4,8,4,12,12,12,12,12,12,12,12,12,12,1,9,9,18,
18,16,3,3,12,6,6,12,12,24,12,12,12,9,4,4,1,1,1,1,3,3,3,3,4,4,3,3,3,3,1,1],[1,
9,12,1,12,12,12,27,12,9,36,36,36,9,4,12,12,12,12,24,27,12,12,12,12,36,9,9,9,9,
1,4,8,1,12,9,4,3,4,1,1],[1,18,27,4,3,42,27,27,81,42,36,18,18,18,18,27,81,3,16,
6,24,27,18,27,27,27,3,6,6,48,18,18,18,27,27,1,4,8,3,9,9,18,4,3,6,9,4,1,3,3,4,
3,1,1],[1,9,1,1,1,1,12,24,27,9,12,9,9,9,9,1,4,12,8,12,12,27,27,27,27,12,9,12,
12,12,9,9,9,9,1,4,8,27,1,12,9,1,3,1,1,3,1],[1,27,27,81,1,4,4,4,3,6,6,12,27,81,
243,9,27,9,27,18,18,18,27,54,54,54,81,108,108,108,162,162,324,81,4,3,3,4,6,6,
6,6,8,12,12,12,12,12,12,12,27,27,27,81,54,81,81,162,162,162,3,3,18,18,18,18,
18,18,18,18,18,18,18,18,27,27,27,27,36,36,36,36,54,54,54,54,72,108,108,108,
108,108,108,108,27,81,1,3,4,4,4,6,6,12,9,9,18,27,27,27,27,54,54,54,54,54,54,
54,108,3,3,3,6,6,6,9,9,9,12,12,12,18,18,18,18,18,36,27,27,1,1,3,9,9,9,9,18,18,
18,18,1,3,3,3,9,1,3,3,1],[1,9,1,12,12,12,12,27,12,9,36,36,36,9,4,12,12,12,12,
24,27,12,12,12,12,36,9,9,9,9,1,4,8,1,12,9,4,3,4,1,1],[1,9,13,12,24,27,12,45,
36,36,9,12,16,24,24,27,12,12,24,36,9,9,9,9,4,1,8,1,12,9,4,3,4,1,1],[1,9,1,1,1,
1,12,24,9,9,12,9,9,9,81,1,4,12,8,12,12,9,9,9,9,12,9,12,12,12,27,27,27,27,1,4,
8,9,1,12,9,1,1,1,3,1,1],[1,9,9,81,1,4,4,4,3,6,6,12,27,27,81,3,9,3,27,6,6,6,9,
18,18,18,81,108,108,108,162,162,324,81,4,3,3,4,6,6,6,6,8,12,12,12,12,12,12,12,
9,9,27,27,27,27,54,54,54,1,1,6,6,6,6,6,6,6,6,6,6,6,6,27,9,27,9,36,12,36,12,54,
54,54,54,72,108,108,108,108,108,108,108,27,27,1,3,4,4,4,6,6,12,3,3,9,9,9,9,18,
18,18,18,18,18,36,1,3,1,2,2,2,3,3,9,12,12,12,6,18,6,6,18,36,9,9,1,1,1,3,3,3,3,
6,6,6,1,1,1,3,3,1,1,1,1],[1,6,9,9,135,1,4,4,4,3,6,6,12,9,54,81,81,162,3,6,2,9,
12,3,12,12,45,6,6,6,6,6,6,6,9,12,18,18,18,18,18,18,18,81,144,144,36,144,162,
54,162,324,81,4,3,3,4,6,6,6,6,8,12,12,12,12,12,12,12,9,18,6,9,27,27,54,18,18,
18,18,18,27,27,54,54,54,108,54,108,54,54,54,54,54,54,108,54,108,1,1,2,2,2,2,2,
12,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,27,9,27,9,12,36,12,12,
48,12,12,12,12,12,18,18,54,18,18,18,54,54,54,72,108,108,108,36,108,108,108,36,
36,36,108,27,27,54,54,1,3,4,4,4,6,6,12,1,6,6,6,6,6,6,6,6,6,9,9,9,9,9,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,18,18,18,18,36,36,36,
36,36,36,36,36,1,3,1,2,2,2,2,2,2,2,2,2,3,3,9,4,12,4,12,4,12,4,6,6,6,6,18,6,6,
6,6,18,6,12,36,12,12,12,9,9,18,18,18,18,1,1,1,2,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,12,12,12,12,1,1,1,2,2,3,3,6,6,1,1,1,2,2,1],[1,9,108,1,1,1,1,12,
24,9,162,9,12,9,9,9,36,36,36,36,108,108,216,81,1,4,12,8,12,12,9,9,9,9,54,54,
54,108,54,12,9,12,12,12,12,12,36,36,24,36,36,36,36,36,27,27,27,27,1,4,8,9,18,
36,36,36,36,1,4,12,12,12,24,9,1,1,6,12,1,4,3,1,2,1],[1,18,9,54,1,4,4,4,3,6,6,
12,27,27,81,6,9,6,18,12,6,6,9,36,36,18,18,18,18,18,36,36,36,36,54,81,4,3,3,4,
6,6,6,6,8,12,12,12,12,12,12,12,9,9,27,27,18,27,27,54,54,1,2,12,6,6,12,6,6,12,
6,6,12,6,12,6,6,6,6,12,9,18,24,12,12,12,12,12,18,18,18,18,18,36,36,36,36,27,
27,1,3,4,4,4,6,6,12,3,3,6,9,9,9,9,18,18,18,18,18,1,1,4,2,4,2,6,6,6,6,6,6,6,6,
12,6,12,12,12,12,9,9,1,1,1,3,3,3,3,6,6,6,1,2,2,3,3,1,1,1,1],[1,9,27,27,4,3,42,
27,27,81,3,18,18,27,18,18,27,36,108,54,27,3,16,6,24,27,27,18,27,27,54,54,3,6,
6,18,18,9,9,12,18,36,27,27,1,4,8,9,3,9,18,18,18,1,3,3,12,9,4,1,3,3,4,1,1,1],[
1,6,27,1,4,4,4,3,6,6,12,9,27,27,6,2,27,12,12,12,6,6,18,18,6,6,27,12,54,27,4,3,
3,4,6,6,6,6,8,12,12,12,12,12,12,12,9,27,6,27,9,9,27,18,3,2,2,2,2,2,12,4,4,4,4,
18,6,6,6,6,18,18,6,18,18,18,27,12,12,12,36,9,27,1,3,4,4,4,6,6,12,1,9,3,6,6,6,
6,9,27,9,3,3,2,2,2,2,2,6,4,4,4,4,18,6,18,3,9,1,1,1,1,1,2,3,9,6,3,2,1,3,1,1,1,
1],[1,27,54,1,4,4,4,3,6,6,12,27,27,81,27,18,18,18,27,54,18,18,18,18,36,36,36,
36,54,81,4,3,3,4,6,6,6,6,8,12,12,12,12,12,12,12,9,27,27,27,27,27,54,54,3,6,6,
18,6,6,6,18,18,18,18,18,27,12,12,12,36,12,18,18,18,18,18,36,36,36,36,27,27,1,
3,4,4,4,6,6,12,9,3,9,9,27,9,18,18,18,18,3,3,2,6,6,18,6,18,6,6,6,12,12,12,12,9,
9,1,1,1,3,3,3,9,6,6,3,2,3,3,1,1,1,1],[1,6,18,9,1,4,4,4,3,6,6,12,9,27,27,6,6,2,
9,12,6,12,12,6,12,6,6,6,6,6,9,12,36,36,18,27,4,3,3,4,6,6,6,6,8,12,12,12,12,12,
12,12,9,9,9,6,9,18,18,27,27,1,2,2,2,2,2,2,12,4,4,4,4,12,12,6,6,6,12,6,6,12,6,
12,6,6,6,6,6,12,9,18,12,24,12,12,12,9,27,1,3,4,4,4,6,6,12,1,3,3,6,6,6,6,6,9,9,
9,18,1,1,4,2,2,4,2,2,2,2,6,6,4,4,4,4,6,6,6,12,3,9,1,1,1,1,1,2,3,3,6,6,1,2,2,1,
3,1,1,1,1],[1,27,54,4,3,42,27,27,81,18,18,27,18,18,36,54,108,81,3,16,6,24,27,
27,27,27,54,3,6,18,18,12,18,18,24,36,27,27,1,4,8,9,3,9,18,3,6,12,24,9,4,1,3,3,
4,3,1,1],[1,27,54,4,3,6,36,27,27,81,18,18,27,18,18,36,54,108,81,3,4,6,12,12,
12,27,27,27,27,54,3,6,18,18,18,18,12,12,12,36,27,27,1,4,4,4,9,3,9,18,3,6,12,
12,12,9,4,1,3,3,4,3,1,1],[1,15,60,20,20,15,45,45,60,90,36,20,60,80,60,60,15,
15,45,90,90,10,36,15,15,60,60,45,10,20,20,36,15,30,15,15,15,10,10,10,15,15,6,
6,10,6,6,1,1],[1,15,45,15,20,20,15,15,45,45,45,45,45,36,20,60,60,60,20,60,15,
15,45,45,45,45,45,10,36,15,15,60,60,45,10,20,20,36,15,15,15,15,15,15,10,10,10,
15,15,6,6,10,6,6,1,1],[1,1,45,45,20,20,15,15,45,45,45,45,45,36,60,60,20,20,60,
60,15,15,45,45,45,45,45,10,36,36,36,15,15,60,60,45,10,10,10,36,15,15,15,15,15,
15,10,10,10,15,15,6,6,10,6,6,1,1],[1,33,25,45,1,10,20,5,15,75,15,45,135,45,6,
11,25,30,15,60,20,10,60,20,30,60,45,15,15,45,45,45,45,10,6,18,18,5,5,25,15,10,
15,10,45,15,15,60,30,30,60,60,6,45,10,20,20,10,10,6,18,18,5,5,15,15,15,15,15,
15,30,15,15,30,6,6,6,5,20,10,10,10,20,18,15,15,1,6,6,6,5,5,5,10,1,3,3,6,5,1,3,
1,1,1,1],[1,10,3,15,75,1,10,20,15,5,30,15,45,45,45,45,90,6,1,10,10,15,25,10,
10,20,30,30,60,30,30,60,15,15,45,45,45,45,45,10,6,18,18,15,5,5,10,10,15,15,10,
15,15,30,15,30,30,30,30,30,30,60,6,45,10,10,10,10,10,10,10,6,18,18,5,5,15,15,
15,15,15,15,15,15,30,30,6,6,6,5,10,10,10,10,10,10,10,18,15,15,1,6,6,6,5,5,5,
10,1,3,3,6,5,1,3,1,1,1,1],[1,1,18,1,8,8,8,16,32,16,32,12,6,9,12,1,18,8,8,8,16,
16,16,16,32,2,3,3,9,18,8,16,16,16,16,16,32,32,32,6,12,12,9,12,12,24,24,24,24,
24,6,9,8,16,16,16,16,16,32,32,32,2,2,2,2,3,3,8,8,8,8,8,8,8,8,8,9,12,12,12,12,
18,24,16,1,12,12,24,6,6,6,6,9,16,2,8,8,8,8,8,8,8,8,8,8,8,8,12,12,1,1,1,1,1,2,
2,2,2,6,8,1,1,1,1,1,2,2,2,2,1],[1,5,70,40,50,30,10,45,60,60,96,80,80,40,10,15,
15,10,45,90,30,60,60,96,50,40,40,40,1,30,45,15,30,30,10,40,20,60,40,5,15,15,
10,10,10,16,5,6,5,10,6,5,1],[1,5,30,1,10,10,10,25,20,20,120,16,5,30,5,5,10,5,
20,10,20,20,60,60,16,10,10,10,25,20,40,20,16,1,5,5,10,10,30,30,48,5,5,10,5,10,
20,20,20,20,20,16,5,15,15,1,5,5,10,10,10,10,16,15,1,5,5,5,1,5,1,3,1,1],[1,27,
1,4,4,4,3,6,42,84,27,27,18,18,27,54,4,3,3,16,42,6,6,6,32,12,48,12,48,12,12,12,
24,24,24,27,27,27,54,3,18,18,18,18,18,18,27,36,1,4,3,4,16,4,6,6,8,8,32,8,12,
24,48,9,27,27,3,3,6,18,18,1,4,4,4,4,8,8,8,8,1,9,3,4,1,1,2,1],[1,9,162,1,4,4,4,
3,6,15,30,243,9,12,18,18,18,54,9,9,9,9,18,27,27,27,27,81,162,162,54,162,162,
162,243,486,4,3,3,7,15,6,6,6,14,12,21,12,21,12,12,12,6,6,6,81,81,81,162,162,
162,81,81,162,162,3,3,3,3,12,18,15,15,6,15,9,9,9,9,9,9,9,9,9,9,27,27,18,45,18,
54,18,18,18,18,27,27,81,27,27,54,54,54,54,90,18,18,18,108,108,108,81,108,108,
135,81,54,81,135,1,1,3,4,7,4,6,6,2,2,8,2,12,6,12,27,27,27,27,27,27,27,27,54,
27,54,81,54,54,54,54,81,81,1,3,3,3,3,3,3,3,9,6,12,6,12,6,15,15,9,9,9,18,9,9,
18,9,6,18,36,18,18,18,27,36,18,18,18,1,1,1,1,1,2,2,2,2,9,9,9,9,9,9,9,27,18,18,
18,1,1,1,1,1,3,3,6,3,3,3,3,3,3,6,6,6,6,1,3,3,3,3,3,1,1,1,1],[1,45,1,20,40,20,
40,15,15,45,36,45,60,60,45,10,20,20,40,40,36,15,15,15,15,30,30,45,36,10,60,60,
15,15,45,10,36,15,10,15,10,6,6,15,15,10,6,6,1,1],[1,5,36,22,108,1,16,32,18,6,
10,21,12,54,18,108,12,126,90,180,108,108,12,5,22,48,36,32,96,32,32,16,32,96,
96,96,48,96,2,7,3,10,9,18,18,6,12,36,36,36,12,126,54,90,54,90,54,54,180,36,
108,36,36,36,36,36,36,36,16,6,12,18,18,10,6,21,12,36,24,30,42,16,60,36,36,12,
96,96,32,96,48,48,96,96,96,96,96,1,6,9,3,9,18,6,6,18,9,27,9,54,54,18,18,90,18,
18,18,18,54,54,36,36,36,36,36,36,16,32,32,16,16,2,7,3,6,4,10,8,8,8,9,12,12,16,
16,8,16,12,12,36,18,18,42,30,6,18,18,18,30,24,12,12,48,36,60,12,12,72,48,48,
12,12,12,12,12,12,48,96,1,3,3,18,9,9,27,27,18,18,18,18,18,18,18,12,32,16,16,
16,32,1,3,6,4,6,6,3,3,9,3,9,8,6,12,12,6,6,6,18,6,30,6,6,18,18,6,18,12,24,24,
48,24,24,12,48,24,12,48,12,12,12,24,24,24,1,9,9,9,9,9,9,4,4,12,8,16,16,16,1,1,
1,1,6,9,9,3,3,3,3,6,6,12,6,6,6,6,6,24,9,4,4,4,16,8,8,1,3,3,1,1,1,3,3,3,3,3,3,
3,3,3,3,1,4,3,3,3,3,1,1,1,1],[1,13,12,30,84,8,16,16,30,6,30,45,12,18,18,84,36,
54,54,108,108,108,16,8,16,16,16,48,16,48,48,48,48,16,96,48,48,48,2,15,3,30,9,
18,18,18,36,12,36,12,36,54,54,54,54,54,54,54,108,36,108,36,36,36,36,36,36,36,
16,12,12,16,24,16,48,48,48,48,48,48,48,48,48,48,48,48,48,3,6,9,9,3,18,18,18,
18,9,9,9,18,54,18,18,54,18,18,18,18,54,54,36,36,36,36,36,36,16,16,16,16,16,16,
16,2,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,48,48,1,9,9,18,9,9,
9,9,18,18,18,18,18,18,18,16,16,16,16,16,16,16,6,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,24,3,3,9,9,9,9,9,8,16,1,1,2,6,6,12,12,9,8,1,3,1,3,3,3,6,
1,3,3,1,1,1,1],[1,13,12,30,84,1,16,32,30,6,30,45,12,18,18,84,36,54,54,108,108,
108,4,13,16,30,28,16,16,32,48,48,96,48,48,96,2,15,3,30,9,18,18,18,36,12,36,12,
36,54,54,54,54,54,54,54,108,36,108,36,36,36,36,36,36,36,16,6,30,6,30,6,45,12,
12,28,16,18,18,24,36,36,36,36,48,48,48,48,48,48,96,3,6,9,9,3,18,18,18,18,9,9,
9,18,54,18,18,54,18,18,18,18,54,54,36,36,36,36,36,36,16,16,16,16,16,16,16,2,
15,3,6,30,8,8,8,9,4,12,12,12,12,4,18,18,18,18,18,18,18,18,18,24,36,12,12,36,
36,12,12,12,12,12,12,36,12,12,12,12,24,24,48,1,9,9,18,9,9,9,9,18,18,18,18,18,
18,18,12,16,16,16,16,16,16,16,3,1,6,6,6,9,3,9,3,3,12,18,6,6,18,6,6,18,6,6,18,
18,6,18,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,3,3,9,9,9,9,9,8,12,4,
12,4,4,4,12,16,1,1,2,6,3,3,9,3,9,3,6,6,6,6,6,6,6,12,9,4,4,4,4,12,4,4,8,1,3,1,
3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,13,12,30,84,8,16,16,30,6,30,45,12,18,18,
84,36,54,54,108,108,108,16,8,16,48,16,16,16,48,48,48,16,48,96,48,48,48,2,15,3,
30,9,18,18,18,36,12,36,12,36,54,54,54,54,54,54,54,108,36,108,36,36,36,36,36,
36,36,16,12,12,16,24,48,16,48,48,48,48,48,48,48,48,48,48,48,48,3,6,9,9,3,18,
18,18,18,9,9,9,18,54,18,18,54,18,18,18,18,54,54,36,36,36,36,36,36,16,16,16,16,
16,16,16,2,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,48,48,1,9,9,
18,9,9,9,9,18,18,18,18,18,18,18,16,16,16,16,16,16,16,6,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,24,24,3,3,9,9,9,9,9,8,16,1,1,2,6,6,12,12,9,8,1,1,3,
3,3,3,6,1,3,3,1,1,1,1],[1,13,12,30,84,8,16,16,30,6,30,45,12,18,18,84,36,54,54,
108,108,108,16,8,16,64,16,16,48,48,48,64,48,96,48,48,2,15,3,30,9,18,18,18,36,
12,36,12,36,54,54,54,54,54,54,54,108,36,108,36,36,36,36,36,36,36,16,12,12,16,
48,24,48,64,48,48,48,48,48,48,48,96,48,3,6,9,9,3,18,18,18,18,9,9,9,18,54,18,
18,54,18,18,18,18,54,54,36,36,36,36,36,36,16,16,16,16,16,16,16,2,12,8,8,8,24,
12,12,12,12,12,12,12,12,24,12,48,24,24,48,1,9,9,18,9,9,9,9,18,18,18,18,18,18,
18,16,16,16,16,16,16,16,12,6,12,12,12,12,24,12,12,12,12,12,24,12,24,24,24,3,3,
9,9,9,9,9,8,16,1,1,2,12,6,6,12,9,8,1,3,1,3,3,3,6,1,3,3,1,1,1,1],[1,18,9,27,81,
4,3,42,27,27,27,27,54,81,81,81,162,42,36,3,18,18,18,18,27,18,18,18,18,27,72,
162,162,27,81,27,81,81,81,81,3,16,6,24,27,18,27,27,27,18,18,18,27,27,27,27,
108,54,162,54,54,54,54,54,81,3,6,6,48,6,6,6,18,18,18,9,9,24,18,18,18,24,72,27,
27,27,27,27,27,27,27,27,27,54,1,4,8,3,9,3,3,9,18,6,9,9,18,18,18,18,18,18,18,
18,18,72,27,27,4,1,3,6,3,6,24,24,9,3,9,9,9,9,9,18,4,1,3,3,3,3,3,3,6,6,12,9,4,
4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,27,27,135,1,4,4,4,3,6,6,12,9,27,81,27,
54,27,243,81,162,9,6,2,27,12,9,12,12,45,6,18,6,18,18,6,6,27,12,54,54,54,18,18,
18,18,81,144,144,36,144,162,54,162,324,27,27,81,81,81,81,81,4,3,3,4,6,6,6,6,8,
12,12,12,12,12,12,12,27,9,9,27,18,6,27,9,9,81,27,54,27,18,18,18,18,18,54,27,
27,81,81,162,54,54,108,162,108,54,54,54,54,54,54,108,162,108,81,3,3,2,2,2,2,2,
12,4,4,4,4,18,6,6,18,18,6,6,6,18,6,6,6,6,18,18,18,18,6,18,18,18,18,27,27,27,
27,12,36,36,12,48,12,12,12,36,12,18,18,54,18,18,18,54,54,54,72,108,108,108,36,
108,108,108,36,36,36,108,9,27,9,27,27,27,27,27,27,27,27,27,27,81,54,54,1,3,4,
4,4,6,6,12,1,9,3,9,3,6,6,6,6,18,6,6,6,6,6,27,27,9,9,9,27,9,27,9,54,54,18,54,
18,18,54,54,18,18,18,18,18,54,18,18,18,18,18,18,54,18,36,18,18,18,18,36,36,36,
108,36,36,36,36,27,27,3,3,3,6,2,2,2,6,2,2,2,6,9,9,9,4,12,4,12,4,12,4,6,18,6,6,
18,18,6,6,18,18,6,12,36,12,12,12,3,3,9,9,27,9,9,9,9,9,9,27,9,9,18,18,18,18,1,
1,1,3,1,1,1,2,2,3,3,9,3,9,3,9,9,6,18,6,6,6,6,18,6,6,6,6,6,6,6,18,6,18,6,12,12,
12,12,9,9,1,3,3,2,2,1,1,3,3,3,3,3,3,9,3,3,3,3,3,6,6,1,3,1,1,3,1,1,2,2,3,3,1,1,
1,1,1,1,1,1],[1,9,108,13,12,24,27,162,12,45,36,36,36,36,108,180,108,216,9,81,
81,12,16,24,24,27,162,108,108,108,81,12,12,24,12,36,36,48,36,36,72,24,72,9,9,
9,9,27,27,4,1,8,36,36,36,72,27,27,27,27,1,4,12,12,12,24,9,4,3,12,6,9,4,4,4,1,
3,3,4,3,1,1],[1,9,108,1,1,1,1,12,24,27,162,9,12,9,9,9,36,36,36,36,108,108,216,
9,81,81,1,4,12,8,12,12,27,27,27,27,54,54,54,108,54,81,12,9,12,12,12,12,12,36,
36,24,36,36,36,36,36,9,9,9,9,27,27,27,27,27,27,27,27,1,4,8,27,18,36,36,36,36,
27,27,27,27,1,4,12,12,12,24,9,9,9,1,3,6,12,9,1,4,1,3,3,3,2,3,1,1,1,1],[1,9,
108,1,12,12,12,12,27,162,12,9,36,36,36,36,144,36,36,108,108,108,108,9,81,81,4,
12,12,12,12,24,27,108,54,108,108,108,81,12,12,12,12,12,36,12,36,36,24,36,36,
36,36,36,36,9,9,9,9,27,27,1,4,8,36,36,36,36,36,27,27,27,27,1,12,4,12,12,24,9,
4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,9,108,12,1,12,12,12,27,162,12,9,36,36,36,
36,36,36,144,108,108,108,108,9,81,81,4,12,12,12,12,24,27,108,54,108,108,108,
81,12,12,12,12,36,12,12,36,36,24,36,36,36,36,36,36,9,9,9,9,27,27,1,4,8,36,36,
36,36,36,27,27,27,27,1,4,12,12,12,24,9,4,3,6,12,9,4,4,4,1,3,3,4,3,1,1],[1,15,
16,60,60,20,20,15,45,45,60,60,45,60,90,45,90,180,90,90,36,20,20,60,80,60,60,
20,80,20,60,60,60,15,15,45,45,90,60,30,60,90,45,45,45,90,45,45,90,90,90,90,90,
90,90,10,36,36,36,15,15,60,60,20,80,60,60,60,60,60,60,60,120,15,45,15,45,45,
45,45,90,90,90,90,10,20,20,20,10,10,20,36,36,36,15,30,15,15,15,15,15,30,15,15,
15,15,60,60,45,10,10,10,10,10,10,10,20,20,20,20,36,15,15,15,15,15,30,30,15,15,
15,15,15,6,6,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,6,6,1,1,1,1,1],[1,13,
30,1,8,8,8,16,32,16,32,30,6,30,45,12,36,13,16,30,8,8,8,64,64,16,64,16,48,32,
96,2,15,3,30,9,18,18,36,36,8,16,16,16,16,16,32,32,32,6,12,30,30,45,12,12,24,
16,48,24,24,24,24,36,96,3,6,9,9,18,18,16,16,16,16,8,16,64,16,16,16,16,16,16,
16,48,32,32,32,2,2,2,2,15,3,12,30,8,8,8,8,8,8,8,8,8,9,24,24,12,24,24,12,12,18,
18,24,36,36,16,1,9,9,12,12,16,16,16,16,24,48,3,6,12,6,6,6,9,9,24,12,18,18,16,
16,16,3,2,12,8,8,8,8,8,8,8,8,8,8,8,8,12,12,12,24,1,1,1,1,1,2,2,2,2,9,9,16,6,
12,12,1,3,3,3,3,8,1,1,1,1,1,2,2,2,2,1,1,1,1,3,1,1],[1,1,18,216,1,8,8,8,16,32,
16,32,12,6,9,12,54,54,108,108,108,1,18,8,8,8,72,16,16,16,16,32,144,144,144,
144,144,288,288,288,288,288,144,288,2,3,3,9,18,54,54,108,108,108,108,108,108,
8,16,16,16,16,16,32,32,32,6,12,12,18,9,12,12,24,36,18,24,24,24,24,36,36,144,
144,144,144,144,144,144,288,6,9,27,27,54,54,54,108,108,8,48,48,48,16,16,16,16,
48,48,16,48,32,96,96,32,32,96,96,48,48,48,48,96,96,96,2,2,2,2,3,3,8,8,8,8,8,8,
8,8,8,9,12,12,12,12,36,18,36,18,18,24,72,36,36,36,36,36,36,36,36,36,36,72,72,
72,72,72,72,72,72,16,1,27,27,54,54,12,12,24,48,48,48,48,48,48,96,96,96,6,6,6,
6,9,9,9,18,18,18,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,16,
16,16,27,2,12,8,8,8,8,8,8,8,8,8,8,8,8,12,12,12,12,12,24,24,1,1,1,1,1,2,2,2,2,
9,9,18,18,18,18,18,18,18,18,16,6,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,
9,9,9,9,9,18,18,18,18,8,1,1,1,1,1,2,2,2,2,6,6,8,3,3,3,3,3,6,6,6,6,1,1],[1,1,
36,18,36,1,8,8,8,16,32,16,32,12,6,9,12,54,36,108,54,108,12,1,18,8,48,8,8,12,
16,96,16,16,16,32,144,48,48,48,144,2,3,3,9,18,36,36,108,54,54,108,8,16,16,16,
16,16,32,32,32,6,12,12,18,9,12,12,12,24,18,36,24,24,24,24,36,48,48,48,144,6,9,
9,27,54,54,16,8,48,16,16,48,16,16,16,48,16,48,32,32,32,48,48,48,48,2,2,2,2,3,
3,8,8,8,8,8,8,8,8,8,9,12,12,12,12,12,12,36,36,18,18,18,24,36,36,36,72,36,36,
36,16,1,27,27,12,12,16,24,48,48,48,48,3,6,6,6,6,9,9,18,18,36,36,36,36,16,16,
16,9,2,12,8,8,8,8,8,8,8,8,8,8,8,8,12,12,12,12,12,1,1,1,1,1,2,2,2,2,9,9,16,6,
12,12,3,3,3,3,9,8,1,1,1,1,1,2,2,2,2,1,3,3,3,3,1,1],[1,5,20,70,60,40,50,30,10,
45,60,70,10,60,60,150,90,180,60,60,96,40,80,80,40,80,80,40,10,15,15,10,45,90,
10,30,60,60,20,60,60,150,30,90,30,90,30,30,180,60,60,60,60,60,60,60,60,60,96,
50,40,40,40,80,80,40,40,40,40,80,80,1,30,45,15,15,10,30,30,10,15,45,15,90,30,
30,30,90,30,30,30,30,30,30,60,60,60,60,60,60,96,10,40,20,60,10,50,40,20,60,40,
40,40,40,40,40,5,15,15,10,15,15,45,45,30,30,30,30,30,30,30,10,10,10,10,10,10,
10,20,20,20,60,40,40,16,5,15,15,15,15,15,15,6,5,10,10,10,10,10,10,10,16,15,6,
5,5,5,10,6,5,1,1],[1,9,1,13,13,13,12,24,24,48,27,9,12,45,45,45,36,36,36,36,72,
9,13,12,12,16,24,24,24,24,32,48,48,48,48,48,48,48,24,24,24,27,27,27,27,12,12,
12,12,12,45,24,24,24,24,36,36,36,36,36,72,72,72,9,9,9,9,9,9,9,9,9,9,9,9,9,4,1,
12,16,16,16,24,24,8,8,8,8,48,24,48,27,1,12,12,12,12,12,24,24,24,24,36,9,9,9,9,
9,9,9,9,9,9,9,9,9,4,1,4,4,4,8,8,8,8,3,1,4,4,4,12,1,9,4,3,4,1,1,1,1,1],[1,27,
27,81,1,4,4,4,3,6,42,84,27,81,243,9,27,9,27,18,18,18,27,54,54,54,81,108,108,
108,162,324,162,324,81,4,3,3,16,42,6,6,6,32,12,48,12,48,12,12,12,24,24,24,27,
27,27,27,54,81,54,81,81,162,162,162,3,3,18,18,18,18,18,18,18,18,18,18,18,18,
27,27,27,27,36,36,36,36,54,108,54,54,54,72,108,108,108,108,108,108,108,108,
108,108,27,81,81,1,4,3,4,16,4,6,6,8,8,32,8,12,24,48,9,9,27,18,27,27,27,27,54,
54,54,54,54,54,54,108,3,3,3,6,6,6,9,9,9,12,12,12,18,18,18,18,18,36,36,36,72,
27,27,27,1,4,4,4,4,8,8,8,8,1,3,9,9,9,9,18,18,18,18,1,3,3,12,12,12,12,3,9,4,1,
1,2,3,3,4,1,3,1,1],[1,18,27,1,4,4,4,3,6,42,84,27,27,81,18,42,27,36,36,36,18,
18,18,18,18,18,27,36,54,81,4,3,3,16,42,6,6,6,32,12,48,12,48,12,12,12,24,24,24,
27,27,27,18,27,27,27,54,81,54,3,6,6,6,6,42,36,48,48,12,48,18,18,18,18,18,18,
18,18,18,18,18,27,36,36,36,36,27,27,81,1,4,3,4,16,4,6,6,8,8,32,8,12,24,48,3,9,
9,27,18,18,18,18,27,27,27,4,3,3,6,6,6,6,6,6,12,12,12,48,18,18,18,9,27,27,1,4,
4,4,4,8,8,8,8,1,3,3,3,6,9,9,18,4,3,4,4,4,6,3,9,4,1,1,2,3,3,4,1,3,1,1],[1,27,
162,1,4,4,4,3,6,42,84,27,81,243,27,54,18,18,27,54,54,54,54,54,108,108,108,108,
162,324,648,243,4,3,3,16,42,6,6,6,32,12,48,12,48,12,12,12,24,24,24,27,27,27,
27,54,81,81,81,162,162,3,18,18,18,18,18,18,18,18,18,18,18,27,36,36,36,36,36,
36,54,54,108,54,54,54,72,72,72,72,108,108,108,108,108,108,81,81,162,81,1,4,3,
4,16,4,6,6,8,8,32,8,12,24,48,9,9,27,27,27,27,27,54,54,54,54,3,3,6,6,12,18,18,
18,18,18,18,18,24,36,36,36,36,36,72,72,72,72,27,27,27,1,4,4,4,4,8,8,8,8,1,3,9,
9,9,9,18,18,3,6,12,12,12,12,24,24,24,24,9,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,15,60,
1,20,40,20,40,15,45,45,60,90,36,15,20,60,60,80,60,60,120,120,15,15,45,90,90,
10,20,20,40,40,36,15,15,45,45,60,15,30,60,60,30,90,36,45,10,20,20,40,60,60,80,
20,60,40,36,15,15,15,30,15,30,15,15,45,30,90,90,10,36,10,15,10,10,15,60,60,15,
15,45,10,20,20,6,6,36,15,10,15,15,15,30,10,10,10,6,6,15,15,6,6,10,1,6,6,1,1,
1],[1,45,45,45,1,20,40,20,40,15,15,135,45,135,135,135,36,15,45,60,15,120,60,
60,180,60,120,180,45,45,45,135,135,135,135,10,20,20,40,40,36,15,15,45,15,15,
30,45,30,45,45,45,180,180,36,135,10,20,60,20,60,60,60,120,60,60,120,108,15,15,
15,15,45,45,45,45,45,45,45,90,45,45,90,10,36,15,30,10,15,60,30,60,45,45,45,10,
20,20,6,6,36,15,15,15,15,15,15,30,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,
3,45,135,1,20,40,20,40,15,15,135,45,135,135,135,36,1,45,45,60,60,60,60,180,
360,180,360,45,45,45,135,135,135,135,10,20,20,40,40,36,108,108,15,15,45,15,15,
30,45,30,45,45,45,180,180,36,135,10,20,20,60,60,60,30,30,60,120,120,108,15,15,
15,15,45,45,90,45,45,45,45,45,45,45,90,10,36,36,36,15,30,10,15,30,60,60,45,45,
45,10,10,10,6,6,36,15,15,15,15,15,15,30,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,
1],[1,5,70,1,40,80,50,30,10,45,60,60,96,5,70,80,80,80,80,40,80,10,15,15,10,45,
90,30,60,60,40,96,30,50,50,10,45,60,100,40,40,40,60,80,96,1,30,45,15,30,30,80,
80,40,10,15,15,10,10,40,40,40,45,20,60,60,20,60,30,90,40,60,60,96,5,15,15,50,
40,40,40,1,10,30,10,10,15,45,20,30,30,16,5,10,40,60,20,40,6,5,5,5,5,10,15,15,
10,10,10,6,16,5,5,5,5,6,5,10,6,5,1,1],[1,13,36,30,252,1,8,8,8,16,32,16,32,30,
6,30,45,12,54,54,252,36,162,162,324,324,324,12,13,16,30,8,48,8,8,84,64,96,64,
16,64,16,48,32,144,96,144,192,192,192,144,288,288,288,288,288,144,144,288,2,
15,3,30,9,18,54,18,36,36,108,36,36,162,162,162,162,162,162,162,324,108,324,
108,108,108,108,108,108,108,8,16,16,16,16,16,32,32,32,6,12,30,18,30,18,45,12,
12,84,24,16,54,54,48,24,24,24,24,108,108,108,36,192,192,96,144,192,144,144,
288,288,288,144,144,144,288,144,144,144,288,144,144,288,3,6,9,9,9,54,18,18,54,
27,27,27,54,162,54,54,162,54,54,54,54,162,162,108,108,108,108,108,108,16,16,
16,16,16,8,48,48,48,16,48,64,16,48,16,16,64,48,48,16,16,16,16,48,48,48,32,96,
96,32,32,96,96,48,48,48,48,48,48,48,48,96,96,96,2,2,2,2,15,3,18,12,30,8,8,8,8,
8,8,8,8,8,9,12,36,24,24,12,24,24,12,12,12,36,36,54,54,54,54,18,54,18,54,54,24,
72,36,36,36,72,108,108,36,36,36,36,72,72,36,72,36,36,36,36,36,36,72,72,144,72,
72,72,72,72,72,288,144,16,1,9,9,54,27,27,27,27,54,54,54,54,54,54,54,12,12,48,
16,48,16,16,48,64,16,48,48,24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,96,
48,48,48,48,48,48,48,48,96,96,96,3,3,6,12,6,6,18,18,6,9,9,9,9,9,24,12,18,36,
36,18,18,18,18,18,54,18,18,54,54,18,54,36,36,72,72,72,72,72,36,36,72,36,36,36,
72,36,36,36,72,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,16,16,16,16,16,16,
16,3,9,27,27,27,27,27,2,12,12,12,8,8,8,8,8,8,8,8,8,8,8,8,12,12,12,12,12,12,24,
12,24,48,24,24,48,48,48,48,1,1,1,1,1,2,2,2,2,18,9,9,9,9,9,9,18,18,18,18,36,18,
18,18,18,18,18,18,18,18,36,72,16,16,16,16,16,16,16,27,6,12,12,12,12,24,12,12,
12,12,12,12,24,12,24,24,24,24,24,24,24,24,24,24,24,24,1,3,3,3,3,3,3,3,3,9,9,9,
9,9,9,9,9,9,9,18,18,18,18,8,16,1,1,1,1,1,2,2,2,2,6,6,12,12,9,9,9,9,9,8,1,1,1,
1,1,3,3,3,3,3,3,3,3,3,3,6,6,6,6,1,3,3,3,3,3,1,1,1,1],[1,9,324,1,13,13,13,12,
24,24,48,27,486,9,12,45,45,45,108,36,36,36,36,72,108,108,108,108,324,540,540,
216,540,648,324,648,1296,9,243,243,13,12,12,16,24,24,24,24,32,48,48,48,48,48,
48,48,24,24,24,27,27,27,27,162,324,324,486,486,324,324,324,486,648,243,12,12,
12,12,12,45,24,24,24,24,36,36,36,36,36,36,36,36,36,36,108,108,72,144,72,180,
72,72,72,72,108,108,216,108,108,108,216,216,216,288,72,72,72,432,432,432,216,
432,432,432,216,216,216,432,9,9,9,9,9,9,9,9,9,9,9,9,9,81,81,81,81,81,81,81,81,
4,1,12,16,16,16,24,24,8,8,8,8,48,24,48,27,108,108,108,108,108,108,108,108,162,
108,108,216,216,216,216,216,216,216,81,81,81,81,81,81,81,81,81,81,81,81,81,1,
12,12,12,12,12,12,12,36,24,48,24,48,24,48,24,36,36,36,72,36,36,72,36,24,72,
144,72,36,72,72,72,72,72,72,9,9,9,9,9,9,9,9,9,9,9,9,9,27,27,4,1,4,4,4,8,8,8,8,
3,36,36,36,36,36,36,18,72,72,72,72,27,27,27,27,27,27,27,27,27,27,27,27,27,1,4,
4,4,4,12,12,12,12,12,12,12,12,12,24,24,24,24,1,9,9,9,4,3,6,12,12,12,12,9,9,4,
4,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,18,27,27,243,1,4,4,4,3,6,42,84,27,27,81,81,
162,81,243,243,486,9,18,42,27,36,9,36,36,81,18,18,18,18,18,18,18,27,36,54,54,
54,54,54,54,54,81,216,216,108,216,162,486,486,972,81,81,81,243,243,243,243,4,
3,3,16,42,6,6,6,32,12,48,12,48,12,12,12,24,24,24,27,27,27,27,27,54,18,27,27,
27,54,81,81,162,81,54,54,54,54,54,54,81,81,81,81,162,162,162,324,162,324,162,
486,162,162,162,162,324,162,324,243,3,3,6,6,6,6,42,36,48,48,12,48,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,27,27,27,27,36,72,36,36,
72,36,36,36,36,36,54,54,162,54,54,162,54,54,54,144,72,72,72,108,108,108,216,
108,108,216,216,108,216,216,27,27,27,27,81,81,81,81,81,81,81,81,81,81,162,81,
81,81,162,162,1,4,3,4,16,4,6,6,8,8,32,8,12,24,48,3,9,9,9,9,27,18,18,18,18,18,
18,18,18,18,18,27,27,27,27,27,27,27,27,27,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,108,54,54,162,54,216,108,108,108,108,108,216,
216,81,81,81,4,3,3,3,6,6,6,6,6,6,6,6,6,9,9,9,12,12,12,12,12,24,48,18,18,18,18,
18,18,18,18,18,18,18,24,36,36,36,72,36,72,144,72,72,72,9,9,27,27,27,27,27,27,
27,27,27,27,27,27,27,27,27,54,54,54,54,1,4,4,4,4,8,8,8,8,1,3,3,3,3,3,6,6,9,9,
9,9,9,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,18,18,72,36,36,
36,27,27,27,4,1,3,3,4,4,4,6,6,24,12,12,12,12,12,12,24,24,24,24,3,3,3,9,9,9,9,
9,9,9,9,9,9,9,18,18,4,1,1,2,3,3,3,3,3,3,12,6,6,12,12,12,9,9,4,4,4,1,1,3,3,3,3,
3,3,3,3,6,1,4,3,3,1,1,1,1],[1,15,48,60,180,1,20,40,20,40,15,45,45,60,180,135,
180,90,135,270,540,270,270,36,16,15,20,60,60,60,120,60,80,60,60,120,60,240,
120,60,180,120,360,180,180,360,15,15,135,45,90,180,90,180,90,135,135,135,270,
135,135,270,270,270,270,270,270,270,10,20,20,40,40,36,108,108,15,15,60,45,45,
45,60,15,60,30,60,90,45,60,30,180,90,90,90,60,240,180,180,360,180,180,180,180,
180,360,360,36,45,45,45,135,135,135,135,270,270,270,270,10,20,20,20,40,80,20,
20,60,60,60,80,20,60,60,30,30,120,40,60,60,60,120,120,120,36,108,108,15,45,15,
15,30,60,30,15,30,15,15,60,45,45,45,45,45,90,45,45,45,30,90,90,90,90,45,90,90,
45,45,90,90,45,90,90,90,90,90,90,180,180,10,36,36,36,135,10,15,10,30,30,10,15,
20,80,60,60,60,30,60,30,60,60,60,60,120,60,60,60,60,60,120,120,108,15,15,15,
15,45,45,45,45,45,45,45,45,90,90,90,90,45,45,45,90,45,90,90,45,90,10,20,20,10,
10,20,20,6,6,36,36,36,15,15,15,10,30,15,15,15,15,15,15,30,15,30,60,30,30,30,
30,30,60,45,45,45,10,10,10,10,10,10,10,20,20,20,20,6,6,18,18,18,18,36,15,15,
15,15,30,15,15,30,15,15,15,15,30,6,6,10,10,10,10,10,10,10,18,18,15,15,1,6,6,6,
6,6,6,10,1,3,3,6,6,1,3,1,1,1,1],[1,5,60,70,180,1,40,80,50,30,10,45,60,210,30,
180,60,450,270,540,180,180,96,20,5,70,120,60,80,240,80,80,80,40,240,80,240,
240,240,120,240,10,15,15,10,45,90,30,30,60,180,60,180,60,450,90,270,90,270,90,
90,540,180,180,180,180,180,180,180,180,180,40,96,30,50,50,70,10,10,45,60,60,
100,90,150,40,40,40,180,60,60,60,240,240,80,240,240,120,120,120,120,240,240,
240,240,240,240,96,1,30,45,15,45,30,30,30,30,45,135,45,270,90,90,90,270,90,90,
90,90,90,90,180,180,180,180,180,180,40,80,80,80,80,40,40,288,10,15,15,10,10,
10,40,40,40,45,20,60,20,60,60,20,60,60,30,150,30,30,150,90,30,30,90,30,90,40,
60,60,60,60,180,60,180,60,60,300,180,180,60,60,60,60,60,60,120,120,120,120,
120,120,240,96,5,15,15,30,45,45,135,135,90,90,90,90,90,90,90,50,80,80,40,40,
40,40,40,40,40,80,80,1,15,10,30,10,10,10,10,15,15,45,15,45,20,30,30,30,30,30,
30,90,30,90,30,30,30,30,30,30,30,30,60,60,60,180,60,60,60,60,60,180,60,60,180,
60,60,60,120,120,120,120,16,96,5,45,45,45,45,45,45,10,10,50,40,20,60,60,20,40,
40,40,40,40,40,40,6,5,5,5,5,10,10,45,45,15,15,15,15,30,30,30,30,30,30,30,30,
30,30,30,30,30,60,48,45,10,10,10,10,10,10,10,60,20,20,20,40,40,6,16,5,15,15,5,
5,5,15,15,15,15,15,15,15,15,15,15,30,6,5,10,10,10,10,10,10,10,18,16,15,15,15,
15,6,5,5,5,10,1,6,5,3,1,1],[1,45,270,40,120,240,270,270,270,405,540,1620,1296,
240,360,720,720,720,720,1080,90,135,135,270,405,810,810,1620,1620,120,160,240,
960,1296,270,540,720,1080,1080,1080,1080,27,270,405,405,810,810,120,240,240,
480,720,720,720,1296,90,270,360,360,360,540,540,540,540,540,1080,40,40,320,45,
405,405,120,360,360,720,270,270,270,270,540,40,120,240,216,216,135,360,360,
162,160,45,45,90,270,40,120,120,120,216,216,162,160,45,135,40,120,45,40,36,45,
40,40,36,27,1],[1,45,36,270,540,40,120,240,270,270,270,405,540,270,270,540,
1620,810,810,1620,1620,1620,1296,240,360,120,720,720,720,720,1080,720,720,720,
720,1080,1440,2160,2160,90,135,135,270,405,810,270,810,1620,540,540,540,1620,
810,810,810,810,810,810,810,1620,1620,1620,1620,1620,1620,1620,1620,1620,1620,
120,160,240,960,1296,1296,1296,270,540,720,1080,1080,1080,1080,720,720,720,
1080,1080,1080,1080,2160,2160,2160,2160,2160,2160,2160,2160,27,270,405,405,
135,270,810,810,270,405,405,405,810,810,810,810,810,810,810,810,810,810,810,
1620,1620,1620,1620,1620,1620,120,240,240,480,240,240,240,720,720,720,360,360,
480,720,720,720,960,1440,1296,1296,1296,90,270,360,360,360,540,540,540,540,
540,270,270,1080,540,540,540,540,540,540,1080,1080,1080,1080,1080,1080,1080,
1080,2160,40,40,320,45,405,405,270,405,405,405,405,810,810,810,810,810,810,
810,120,360,120,120,360,720,240,360,360,720,720,720,720,720,720,720,720,720,
1440,1296,270,270,270,270,540,270,270,270,270,540,540,540,540,540,540,540,540,
540,540,540,1080,1080,1080,1080,40,40,120,240,120,240,480,960,216,216,135,135,
405,405,405,405,405,360,120,360,360,360,360,360,360,720,162,160,45,45,90,270,
270,270,270,270,270,270,270,270,540,40,120,120,120,120,120,120,120,240,240,
240,216,216,216,216,216,216,405,360,360,162,160,160,160,45,135,45,135,135,135,
270,270,40,120,40,120,120,120,120,120,120,120,216,216,45,162,40,160,36,135,
135,120,120,45,45,45,40,40,40,40,36,36,36,27,45,40,40,36,27,1,1],[1,45,270,1,
40,40,40,120,240,240,480,270,270,270,405,540,1620,1296,45,240,270,360,360,360,
720,720,720,720,720,720,1080,1440,2160,90,135,135,270,405,810,810,1620,1620,
40,120,120,160,240,240,240,240,320,480,480,480,480,480,480,480,960,960,960,
1296,270,270,270,270,405,540,540,540,720,1080,1080,1080,1080,1080,1080,1080,
1620,2160,1296,27,270,405,405,810,810,120,240,240,240,240,240,360,480,480,480,
480,720,720,720,720,720,720,720,720,720,720,720,1080,1440,1440,1440,1440,1296,
90,90,90,90,135,135,270,270,360,360,360,360,360,360,360,360,360,405,540,540,
540,540,540,540,540,540,810,810,1080,1080,1620,1620,40,40,120,160,160,160,240,
240,320,320,320,320,480,960,1920,1296,45,405,405,120,270,360,360,540,720,720,
720,720,1080,1080,1080,1080,27,270,270,270,270,270,270,270,405,405,540,540,
810,810,40,120,120,240,240,240,240,240,240,480,480,480,480,720,720,720,216,
216,1296,135,90,270,360,360,360,360,360,360,360,360,360,360,360,360,360,540,
540,540,540,540,1080,162,40,40,160,160,160,320,320,320,320,45,45,45,45,45,90,
90,90,90,270,405,405,40,120,120,120,120,240,360,360,720,216,216,270,270,270,
270,540,162,40,120,160,160,160,240,216,216,45,135,135,135,135,40,120,360,360,
162,160,45,45,45,45,45,90,90,90,90,270,40,40,80,120,120,120,36,216,216,162,
160,45,45,45,45,135,40,40,40,40,40,120,36,45,27,40,36,45,40,40,36,27,1,1],[1,
45,108,270,1620,1,40,40,40,120,240,240,480,270,270,270,405,540,810,810,1620,
1620,2430,2430,4860,4860,4860,1296,36,45,240,270,360,360,360,360,540,720,720,
720,720,720,720,720,1080,1440,2160,2160,2160,2160,2160,2160,2160,3240,4320,
4320,4320,4320,6480,6480,6480,12960,90,135,135,270,405,810,810,810,1620,1620,
1620,1620,1620,2430,2430,2430,2430,2430,2430,2430,4860,4860,4860,4860,4860,
4860,4860,4860,4860,4860,40,120,120,160,240,240,240,240,320,480,480,480,480,
480,480,480,960,960,960,1296,3888,3888,270,270,270,270,270,270,405,540,540,
540,540,720,810,810,1080,1080,1080,1080,1080,1080,1080,1620,1620,1620,1620,
2160,2160,2160,2160,2160,2160,3240,3240,3240,3240,6480,6480,6480,6480,6480,
6480,6480,6480,6480,6480,6480,6480,6480,6480,12960,1296,27,270,405,405,405,
810,810,810,810,1215,1215,1215,2430,2430,2430,2430,2430,2430,2430,2430,2430,
2430,2430,4860,4860,4860,4860,4860,4860,120,120,240,240,240,240,240,360,480,
480,480,480,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,
720,720,720,720,720,720,1080,1080,1080,1080,1440,1440,1440,1440,1440,1440,
1440,1440,1440,1440,2160,2160,2160,2160,2160,2160,2160,2160,2160,2880,2880,
2880,2880,4320,4320,4320,4320,4320,4320,4320,4320,4320,4320,4320,1296,3888,
3888,90,90,90,90,135,135,270,270,270,360,360,360,360,360,360,360,360,360,405,
540,540,540,540,540,540,540,540,540,540,540,810,810,810,810,810,810,810,810,
810,810,810,1080,1080,1620,1620,1620,1620,1620,1620,1620,1620,1620,1620,1620,
1620,1620,1620,1620,1620,1620,1620,1620,1620,1620,1620,3240,3240,3240,3240,
3240,3240,3240,3240,3240,3240,3240,3240,3240,3240,6480,6480,40,40,120,160,160,
160,240,240,320,320,320,320,480,960,1920,1296,1296,1296,45,405,405,810,1215,
1215,1215,1215,2430,2430,2430,2430,2430,2430,2430,120,270,360,360,360,360,540,
720,720,720,720,720,720,720,720,720,720,1080,1080,1080,1080,1080,1080,1080,
1080,1080,1080,2160,2160,2160,2160,2160,2160,2160,2160,2160,2160,2160,2160,
2160,2160,2160,2160,2160,2160,2160,2160,2160,2160,2160,2160,2160,2160,2160,
4320,4320,4320,4320,4320,4320,4320,4320,3888,27,135,270,270,270,270,270,270,
270,270,270,405,405,405,405,405,540,540,810,810,810,810,810,810,810,810,810,
810,810,810,810,810,810,810,810,1620,1620,1620,1620,1620,1620,1620,1620,1620,
1620,1620,1620,1620,1620,1620,1620,1620,1620,1620,1620,1620,1620,1620,1620,
1620,3240,3240,3240,3240,3240,3240,3240,3240,3240,3240,3240,40,120,120,120,
240,240,240,240,240,240,240,240,240,360,360,360,480,480,480,480,480,480,480,
720,720,720,720,720,720,720,720,720,720,720,960,1440,1440,1440,1440,1440,1440,
2880,2880,2880,2880,216,216,1296,1296,1296,135,405,1215,1215,1215,1215,1215,
90,270,270,270,360,360,360,360,360,360,360,360,360,360,360,360,360,360,540,
540,540,540,540,540,540,540,540,540,540,1080,1080,1080,1080,1080,1080,1080,
1080,1080,1080,1080,1080,1080,1080,2160,2160,2160,2160,162,40,40,160,160,160,
320,320,320,320,45,45,45,45,45,90,90,90,90,270,270,405,405,405,405,405,405,
810,810,810,810,810,810,810,810,810,810,810,810,810,810,810,810,810,810,810,
1620,1620,40,120,120,120,120,120,120,240,240,360,360,360,360,360,360,360,360,
720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,
1440,1440,1440,1440,216,216,648,648,648,648,1296,1215,270,270,270,270,270,270,
270,270,540,540,540,540,540,540,540,540,540,540,540,540,1080,1080,1080,1080,
1080,1080,1080,1080,1080,1080,1080,1080,1080,1080,162,40,40,120,120,160,160,
160,240,240,480,480,480,480,480,480,480,960,960,960,960,216,216,45,135,135,
135,135,135,135,135,135,405,405,405,405,405,405,405,405,405,405,810,810,810,
810,810,40,120,120,120,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,720,720,162,648,648,160,45,45,45,45,45,90,90,90,90,270,270,270,270,270,
270,270,270,270,540,486,40,40,80,120,120,120,120,120,120,120,240,240,240,480,
480,480,36,216,216,216,216,216,216,405,405,405,405,405,360,360,360,360,162,
160,160,160,45,45,45,45,45,135,135,135,135,135,135,135,135,135,135,270,270,
270,270,270,40,40,40,40,40,40,120,120,120,120,120,120,120,120,120,120,240,36,
108,108,216,216,45,27,162,40,160,36,135,135,135,135,135,120,120,120,120,120,
120,108,45,45,45,81,40,40,40,40,36,36,36,27,45,40,40,36,27,1,3,1,1]],
[1,2,2,2,2,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,15,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,20,20,20,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,27,27,27,27,27,27,27,27,27,27,27,27,27,27,27,30,30,30,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,40,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,60,60,60,60,60,64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,80,81,81,81,81,81,81,81,81,81,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,120,120,120,120,120,120,120,128,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,160,162,162,162,162,162,
162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,180,180,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,
216,216,216,216,240,240,240,243,288,288,288,288,288,288,288,288,288,288,288,
288,288,288,288,288,288,288,288,320,324,324,324,324,324,324,324,324,324,324,
324,324,324,324,324,324,360,360,360,360,360,360,360,384,384,384,384,384,432,
432,432,432,480,486,486,486,576,576,576,576,576,576,576,576,576,576,576,576,
576,576,576,576,576,576,576,576,648,648,648,648,648,648,648,648,648,648,648,
648,648,648,648,648,648,720,720,720,720,720,864,960,960,972,972,1080,1152,
1152,1152,1152,1152,1296,1296,1296,1296,1296,1296,1440,1728,1728,1728,1920,
1944,1944,1944,1944,2160,2160,2160,2880,3456,3888,3888,4320,5760,25920,51840,
77760,155520],
[959,951,938,895,668,959,952,952,952,933,907,907,854,895,894,895,866,841,796,
796,668,651,572,572,378,378,377,716,954,951,907,895,872,871,872,872,841,817,
818,817,817,810,817,817,743,695,616,614,607,616,620,618,621,508,438,445,440,
444,349,350,350,164,940,927,929,895,866,792,796,791,651,668,665,668,651,572,
572,572,572,572,572,572,372,378,378,378,382,378,378,378,382,378,952,933,933,
925,907,907,907,907,878,854,854,846,854,854,854,854,770,770,770,716,446,446,
894,895,895,895,895,895,866,841,841,841,837,817,791,791,743,743,746,743,746,
729,746,651,651,657,651,621,618,607,616,620,614,508,508,508,508,349,349,349,
347,350,338,349,350,350,350,339,350,342,348,164,716,955,894,866,866,867,796,
791,791,796,717,717,717,572,572,572,572,572,574,572,572,572,572,572,378,378,
378,382,378,382,933,933,907,907,907,907,907,872,854,854,854,854,810,812,815,
815,817,818,817,817,812,817,817,817,818,818,817,802,810,817,810,817,817,818,
743,743,747,747,695,703,704,709,706,695,695,707,701,708,620,621,619,616,618,
619,620,621,618,559,562,561,560,440,441,442,444,443,439,444,445,440,438,438,
716,446,446,940,940,940,940,927,929,895,895,895,872,872,872,872,872,872,872,
872,872,866,834,841,834,837,837,841,837,837,841,841,841,796,796,791,791,791,
791,791,791,792,791,791,729,743,669,651,651,665,668,669,651,642,651,668,668,
651,669,655,668,669,660,651,660,651,651,651,508,511,508,516,508,507,507,511,
508,516,513,508,513,508,349,350,953,952,933,925,925,925,907,907,877,877,877,
877,854,770,631,716,716,716,951,866,866,796,717,717,717,717,572,572,572,574,
572,574,572,933,895,873,871,871,873,841,812,817,818,817,810,817,818,817,817,
815,743,746,743,743,743,747,743,743,747,743,618,614,618,614,620,619,620,621,
621,620,616,621,620,606,619,620,618,607,618,621,619,616,612,618,619,619,621,
438,439,440,441,442,443,444,445,446,955,929,895,894,895,894,894,895,895,894,
895,866,866,866,866,866,837,841,791,796,796,792,791,791,791,791,791,791,796,
796,791,791,791,791,791,660,668,669,655,669,669,665,669,651,667,665,669,668,
668,668,669,651,659,668,655,651,651,668,649,660,507,508,509,510,511,512,513,
514,515,516,517,952,933,932,933,907,907,907,907,902,907,907,907,907,871,873,
873,854,858,854,856,854,853,854,817,817,817,818,817,810,812,815,818,818,818,
770,707,708,709,703,708,706,559,560,561,562,920,919,716,716,716,927,867,717,
717,717,717,717,940,895,895,895,872,873,872,872,872,871,872,872,872,872,872,
872,872,872,841,841,841,841,841,841,834,837,841,837,834,743,743,743,743,743,
747,747,743,746,747,747,743,747,746,618,619,620,621,923,953,952,925,925,925,
877,877,877,877,951,951,951,951,951,940,940,940,940,895,895,866,866,866,866,
866,866,795,796,791,795,796,791,796,791,791,796,797,792,791,798,796,797,796,
792,798,668,669,953,933,933,933,935,933,933,907,907,871,873,871,873,873,871,
871,873,818,817,818,812,815,818,810,818,817,815,817,818,817,812,810,817,809,
818,817,706,707,708,709,920,919,821,821,820,820,716,717,895,894,895,895,895,
895,895,895,841,837,834,841,841,834,832,841,841,841,837,841,738,739,740,741,
742,743,744,745,746,747,748,749,750,751,923,952,953,933,933,925,925,925,907,
907,853,858,856,856,857,858,857,769,770,771,772,920,919,951,927,930,931,927,
927,927,928,929,867,870,867,866,868,866,869,866,866,866,794,795,796,797,798,
952,933,933,932,871,871,871,872,873,873,874,873,874,873,871,873,871,873,817,
818,923,820,821,925,951,951,951,951,951,940,940,940,940,894,894,895,895,895,
895,895,895,895,841,842,953,953,946,933,933,933,933,935,933,933,908,907,907,
856,857,858,954,919,920,920,920,919,919,866,867,868,869,870,871,872,873,874,
923,925,925,925,951,951,951,951,951,927,930,927,929,929,928,931,931,928,930,
894,895,896,897,898,952,953,952,953,952,952,935,933,933,935,933,932,933,933,
933,932,915,954,938,938,919,920,951,955,923,953,925,954,927,928,929,930,931,
932,933,934,935,936,937,938,951,951,951,942,952,953,953,953,954,954,954,955,
951,952,953,954,955,959,957,959,959],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,12,1,1,10,1,1,6,
1,11,1,12,10,1,1,1,1,1,1,1,12,10,11,11,10,9,8,13,7,11,1,12,13,2,1,1,1,1,2,4,1,
4,1,1,1,4,4,4,1,1,1,1,4,4,4,1,4,1,1,4,1,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,28,1,28,1,14,1,6,1,6,1,1,18,6,14,12,6,6,10,1,1,10,1,18,1,6,6,6,1,11,11,1,
12,10,10,1,10,10,1,11,11,11,8,12,7,11,12,12,12,10,1,9,10,13,1,1,2,2,2,1,1,4,4,
1,2,2,1,4,4,4,4,4,2,2,1,4,4,4,4,4,4,15,4,15,94,95,12,12,12,12,12,1,12,12,12,
12,6,97,100,10,12,99,1,1,6,1,1,95,98,11,12,10,10,1,10,12,12,11,95,1,94,1,1,96,
11,108,93,1,1,106,10,102,10,11,97,12,11,6,100,98,99,101,111,109,110,107,104,
102,7,108,106,105,8,13,9,103,28,28,28,63,63,2,63,1,1,32,14,1,2,2,63,2,63,63,
63,63,63,1,116,6,6,14,14,123,14,14,123,18,6,116,116,6,32,32,6,1,32,2,6,6,18,
45,125,4,32,14,123,125,6,32,32,18,123,6,125,116,18,125,30,4,6,32,32,6,10,9,4,
36,10,134,134,35,45,7,8,45,33,10,11,12,1,8,1,1,1,1,1,1,8,8,8,8,1,1,8,6,28,165,
2,17,17,4,17,17,17,17,17,4,17,15,4,15,17,94,14,94,94,94,94,18,97,12,98,12,95,
12,99,95,12,100,95,1,6,10,95,94,10,1,94,6,99,10,11,94,100,6,100,98,98,100,94,
98,10,95,97,100,99,95,99,11,97,12,93,99,97,97,98,103,106,107,104,102,108,105,
96,28,1,6,116,2,14,63,63,6,6,63,116,2,6,2,30,30,14,123,4,116,116,30,32,4,32,6,
32,32,14,14,30,32,32,32,32,115,123,125,116,125,125,116,125,32,271,116,125,123,
123,18,125,32,273,123,116,32,32,123,270,115,134,45,281,283,135,285,133,284,
286,131,287,352,94,351,94,95,12,12,358,95,12,12,12,94,10,6,353,12,354,12,356,
12,355,12,95,12,1,98,358,10,97,100,11,357,99,364,106,363,108,96,102,93,101,
110,109,111,563,564,165,165,28,64,65,67,64,17,65,67,63,14,385,385,63,195,63,
63,63,195,63,2,63,63,63,63,63,63,123,390,18,122,390,122,117,385,123,14,116,
230,45,95,95,32,94,195,230,202,195,94,95,94,93,99,97,100,98,166,1,8,96,96,96,
96,96,96,8,369,369,369,2,369,63,63,369,63,277,32,121,121,17,121,17,121,270,
277,32,270,116,121,116,121,121,277,273,115,32,271,66,273,116,115,271,123,125,
351,94,353,353,352,94,351,94,358,351,94,351,353,353,94,94,94,357,358,357,353,
100,98,95,99,358,351,358,357,358,97,353,12,352,357,95,355,356,363,354,563,564,
563,563,564,564,165,168,116,63,14,385,117,116,117,385,390,385,385,390,390,385,
575,390,123,122,385,390,587,581,579,591,588,230,582,589,402,195,590,585,592,
583,622,352,623,94,95,352,352,352,12,358,355,354,356,625,351,627,626,628,364,
630,629,563,564,632,369,634,633,64,369,369,636,275,632,634,369,274,633,288,
636,121,288,275,639,456,277,452,453,518,521,519,351,195,521,351,63,353,195,
518,353,352,353,521,519,351,519,358,357,166,564,563,96,369,369,369,369,369,63,
369,369,369,575,575,385,278,576,385,385,277,576,390,622,670,351,670,623,351,
94,353,352,353,623,624,623,358,625,626,627,859,774,773,773,563,564,774,460,
632,633,636,634,521,806,519,674,622,352,822,623,632,632,632,632,827,369,634,
827,635,825,636,826,633,823,824,719,576,831,830,829,799,843,518,623,799,799,
624,623,623,753,755,670,521,755,519,843,845,859,859,859,774,773,369,922,819,
670,822,859,827,823,825,824,826,843,755,904,850,903,899,859,632,921,827,922,
799,844,843,924,859,926,926,922,921,943,924,926,950,956,956,956,958],
[( 1, 2)( 3, 5)( 4, 7)( 6,10)( 8,13)( 9,14)(11,17)(12,19)(15,20)(16,23)(18,25)
(21,29)(22,31)(24,33)(26,35)(27,36)(28,37)(32,39)(34,42)(38,46)(40,49)(41,51)
(43,54)(44,56)(45,58)(47,61)(48,53)(50,63)(52,66)(55,68)(57,70)(59,71)(60,67)
(64,74)(65,75)(72,78)(73,76)(77,81)(79,80),( 1, 3, 6,11,18,26)( 2, 4, 8)
( 5, 9,15,22,19,27)( 7,12,17,10,16,24)(13,20,28,37,45,59)(14,21,30)
(23,32,40,50,64,75)(25,34,43,55,56,69)(29,38,47,51,65,58)(31,39,48)(33,41,52)
(35,44,57)(36,42,53)(46,60,54,67,49,62)(61,72,68,77,63,73)(66,76,80,81,70,78)
(71,74,79)],
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3,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,
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1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-1,4,-2,2,-1]],[[1,1,2,1],[
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-2]],[[1,1,2,1],[2,1,1,1],[4,3,3,-2,2,-1]],[[2,1,1,1],[1,1,2,-1],[4,2,1,1,2,2,
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1,3,1,4,-2,3,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[
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1],[1,1,2,-1],[3,1,2,2,1,1,2,-1,4,2,3,2,2,1]],[[1,1,2,1],[2,2,3,3,1,1,2,
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1,3,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
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1],[2,1,1,1,3,-1,2,-1,3,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
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1]]],[[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[1,1,2,1],[
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1,1,1],[1,1,2,-1],[4,2,2,-1,3,-2,2,1,5,-2]],[[1,1,2,1],[1,1,2,-1],[3,2,2,1,1,
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2]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,3,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
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1,1],[2,2,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[2,2],[3,1,1,1,2,-2,1,1,3,-1]],[[1,1,
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4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,2]]],[[[2,1,1,1],[1,1,2,-1],[
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1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,1,3,2,2,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,
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1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,2]],[[2,1,1,1,2,1,1,1,2,
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1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[
1,1,2,1],[2,1,1,1],[2,2],[4,1,5,-1,3,-1,5,1,3,1,4,-1]],[[1,1,2,1],[2,1,3,1],[
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3,2,2,1,4,1,3,-1,4,1]]],[[[2,1,1,1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[
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1]],[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,
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2,1],[2,-1,3,1,2,2,3,1]],[[2,1,1,1],[3,2,2,-1,1,1,3,1,2,-1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[
2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
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1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,2]],[[2,1,1,1],[3,1,2,-1,1,1,
3,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,4,-1,3,1]],[[2,1,1,1,2,2,1,1,2,
-2,1,1,2,1]]],[[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,-3,1,1]]],[[[2,1,1,
1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,
1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,-1,3,-1,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[3,1,2,1,3,1,
1,1,2,-1,3,1,2,2]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1,2,-2,1,1,2,
-2,1,1,2,1]]],[[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[2,
1,1,1,2,-2,1,1,2,-2,1,1,2,1]],[[2,1,1,1],[1,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,-2,
1,1,2,-3]]],[[[2,1,1,1],[1,1,2,-1],[2,2,3,-1,4,1,3,-2,2,-1,1,1,4,-1]],[[1,1,2,
1],[2,-1,3,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,2,1,4,2,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-1,4,-2,2,-1]]],[[[2,1,1,1],[1,
1,2,-1],[4,2,1,1,2,2,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,1,4,-1,2,
-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,
1,4,2,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,1,4,-1,2,-1]],[[1,1,2,1],[
1,1,2,-2,3,1,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,
1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,2,2,1,1,
1,4,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[4,3,3,-2,2,-1]],[[2,1,1,1],[1,1,2,
-1],[4,2,1,1,2,2,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,1,3,2]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,
3,3,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,3,1,2,2,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,-1,3,-2,4,1,3,-2,2,-1]],[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[1,1,2,1],[
2,1,1,1],[4,1,2,1,3,3,1,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,
-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,2,2,1,4,-2]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[2,-1,1,1,2,1]],[[2,1,1,1],[
2,2,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,2,4,1,2,1,1,1]],[[1,1,2,1],[2,2,3,1,
2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,4,1,2,-2,3,-1]],[[1,1,2,1],[3,2,2,2,1,1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[
2,1,1,1],[2,1,4,-1],[4,1,5,1,3,1,5,1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,
1,3,-1,2,1,1,1]],[[2,1,1,1,2,2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,
4,1,3,-1,4,1,2,-1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]],[[2,1,1,
1],[2,2,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,
-1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,3,2,1,4,-2]],[[1,1,2,1],[2,1,
1,1],[4,1,2,2,3,2,4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,1,3,2,4,-1]],[[
1,1,2,1],[2,1,1,1],[4,3,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,2,4,1]],[[1,1,2,-1,1,1,2,2,1,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,3,2,1,4,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,
-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,1,2,1,4,-1,3,1,4,1]],[[2,
1,1,1],[3,2,2,-1,1,1,3,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,1,1,
2,-1,4,-1,5,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,
-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,2,1,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1,3,3,2,
1,1,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,
1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,3,2,1,1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,-1,3,1,2,1,4,2]],[[1,1,2,1],[2,-1,
3,1,2,2,3,1]],[[2,1,1,1],[3,2,2,-1,1,1,3,1,2,-1,3,-1]]],[[[2,1,1,1],[2,2,1,1,
2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[2,1,1,1],[1,1,2,-1,3,
-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,-3,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,2,4,-2]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
4,-1,3,2,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,2,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,
-1],[4,2,2,-1,3,1,2,2,3,1,2,1,1,1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,
2,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,1,3,1,4,-1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,4,1,2,2,3,1,4,-1,5,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[6,1,4,-1,5,2,4,-1,6,-1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,1,3,1],[4,1,3,1,6,1,5,-1,6,1,3,1,4,-1,5,1]]],[[[2,1,1,
1],[2,1,3,2,2,1,3,-1,1,1,2,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,2,2,-1,3,-2,2,1,5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,
-2,1,1,2,-1,3,1,2,1,3,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,
2,1],[2,1,3,1],[3,1,4,2,2,1,1,1]],[[2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,
3,-1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[1,1,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,1,1,3,-1,2,1,4,
-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,4,-1,3,2,4,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,2,2,1,4,1,2,1,4,1,3,-1]]],[[[2,1,1,1],[1,1,2,1,3,2,2,1,1,1]],[[2,
1,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,4,1,3,1,4,-1,5,2,
3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,2,3,1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,3,1,4,
-1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,
1]],[[2,1,1,1],[3,2,2,-2,1,1,2,2,3,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,2,2,-1,3,1,5,1,3,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,1,1,
3,-1,4,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,
3,-2,4,-1,2,-1,4,-1]]],[[[2,1,1,1],[1,1,2,-1],[3,1,2,-1,1,1,3,1,4,-1,3,1,2,2,
4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,-1,3,2,2,1,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,3,2,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,4,2,3,-1,5,-1]],[[1,1,2,-2,1,1,2,2,1,1,
2,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,2,-1,3,-2,2,1,1,1]]],[[[1,1,2,
1],[3,2,2,1,1,1,2,-1,3,1,2,2]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,1,2,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,-1,5,1,3,-1,4,1]],[[2,1,1,1],[2,2,3,-1,1,
1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,3,3,1,2,1,3,1]],[[1,1,2,1],[2,1,
1,1],[4,1,2,1,4,-1,3,1,2,2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,
1,3,-1,5,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,3,2,4,1]]],[[[1,1,2,
1],[2,1,3,2,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]],[[2,1,1,1],[1,1,
2,-1],[3,1,2,-1,1,1,3,1,4,-1,3,1,2,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
2,2,-1,3,1,5,1,3,1,4,2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,-1]],[[2,-1,1,1,
2,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,2,
2,1,4,-1,3,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,2,3,-2]],[[1,1,2,1],[2,-1,3,1,2,2,3,1]]],[[[2,1,1,1],[1,1,2,-1],[2,1,3,
2,4,-1,2,2,3,-1,4,1]],[[1,1,2,1],[1,1,2,-1],[3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,2,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,
3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[1,
1,2,-1],[3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,2,5,
-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,
1,1,1,2,-2,3,1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[5,1,4,2,5,
-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,-2]],[[2,2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]],[[1,1,2,1],[1,1,2,-1],[3,2,1,1,
2,-1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,5,1,3,1,
4,2]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,3,2,1]],[[1,1,2,1],[1,1,3,-3,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,2,3,1,2,1,3,1,4,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,
1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-4,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,2,3,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,2,4,2,3,2,2,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-1,4,1,3,-2,2,-1]],[[2,
1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,3,1,2,
1,3,1,4,1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,2,1,3,1]],[[2,2]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1,1,1,
2,-1,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[2,1,1,1],[3,2,2,-2,1,1,2,2,
3,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,4,-1,2,-1,3,1,1,1,4,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]],[[
2,1,1,1],[2,1,3,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,
-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,2,3,2,2,1]]],[[[1,1,2,1],[2,1,3,
1],[4,1,1,1,2,-1,3,-1,4,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[
3,1,2,1,3,1,2,1,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,
-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,
1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,-1]],[[2,1,1,1],[1,1,2,-1,
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-1]],[[1,1,2,1],[1,1,2,-1],[3,2],[4,1,5,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,
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2,-1,3,1,4,2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[
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-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,2]],[[1,1,2,-2,1,1,2,2,1,1,2,
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2,2,-1,1,1,3,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,2,4,-2,3,-2,2,-1]]],[[[2,1,
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1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,2,
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1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,-1,1,1,
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2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,
-1]],[[1,1,2,-2,1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,4,-1,3,
1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,-2,1,1,2,2,1,1,2,-2]],[[2,1,
1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-2]],[[1,1,2,
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2]],[[2,-3]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1,
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6,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,2,1,4,-1,3,-1,4,1]]],[[[1,
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4,-1],[4,1,5,1,3,1,5,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-2,3,-1,
2,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,1,5,1,3,1,5,1,3,-1,4,1]]],[[[1,
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2,1,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,1,1,2,-1,4,-2,2,
-1]],[[1,1,2,1],[1,1,2,-1],[3,2,2,1,1,1],[4,1,5,-1,4,1,5,-1]],[[2,1,1,1],[1,1,
2,-1],[4,1,2,-1,1,1,3,1,4,-1,2,2,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
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4,-1,5,2,3,2,2,1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[1,
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1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[3,1,1,1,2,-1,3,1,
2,1,3,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,
-1,2,-1]],[[1,1,2,-2,1,1,2,-2]]],[[[1,1,2,1],[3,1,2,2,3,2,2,1,1,1]],[[1,1,2,
1],[2,1,3,1],[4,1,3,1,4,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,2,2,
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1,1,2,-1]],[[1,1,2,1],[1,1,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,
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1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,
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1],[2,2,3,1,2,1,3,-1,2,-1,1,1,3,1]]],[[[1,1,2,1],[2,2,3,3,1,1,2,-1]],[[2,1,1,
1],[1,1,2,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,2,1,3,2,4,2,2,-1,
3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-1,3,1,4,2]]],[[[1,1,2,1],[1,1,2,-1],[2,
1,1,1,2,-1,3,-3,2,1,4,-2]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1,1,1,2,-1,3,1,2,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,3,2,4,-1,2,-1,4,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,2,3,2]]],[[[1,
1,2,1],[3,2,2,2,1,1,3,-1]],[[1,1,2,1],[1,1,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,4,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,2,2,
4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,3,1,4,-1,2,-1,4,-1]],[[2,1,1,1],[2,2,1,
1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[3,1,2,2,3,2,1,1,2,-1]],[[2,1,1,1,2,-3,
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1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,2]],[[1,1,2,1],[3,1,1,1,
2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-4,2,-1,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,1,
1,4,1,2,1,3,2]],[[1,1,2,1],[1,1,2,-1],[2,1,3,1,1,1,2,-1,4,1,3,-1,2,1,4,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[1,1,2,
1],[2,2,1,1,3,2,2,2]],[[2,1,1,1],[1,1,2,-1,3,-1,2,-1,1,1,2,1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,1,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,2,
2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,
1],[2,-3,1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,
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1,4,2,2,-2]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,2,4,-1,3,2,2,1,4,1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,1]],[[2,1,1,
1],[1,1,2,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,5,
1,4,-1,3,1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,1,1,4,2,3,-1,2,-1,3,
-1]]],[[[1,1,2,1],[2,2,3,2]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,1,2,1,4,-1,3,1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,
3,1,2,1,3,1,4,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,
2,-1,1,1,2,-2,3,1,4,1]],[[2,1,1,1],[2,2,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,4,2]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,
1,3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,3,1,2,1,3,1,4,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,
1]],[[2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,
-1,1,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,4,1,2,-1,3,1,4,1,3,1]]],[[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,-1,3,-2]],[[2,1,1,1,2,-2,1,1,2,-2,1,1,2,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,
1,1],[3,1,2,2,4,-1,3,2,2,1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,1,1,2,-1,3,-2]],[[
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1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,
1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,3,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,1,3,1,4,-1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,2,-1,
3,2,2,1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,2,3,3,1,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,1,3,2]],[[1,1,2,-3,1,1]]],[[[2,1,1,
1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,-1,1,1,2,-2,3,1]]],[[[1,1,2,
1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,2,1,1,3,2,2,2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,-1,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,-2,4,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,
1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,
1,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,1,4,-1,3,2,1,1,4,1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[2,1,4,-1,3,2,2,1,4,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[
2,1,1,1,2,-1,3,-1,2,1,3,2]],[[2,1,1,1],[2,2,3,2,2,-1,1,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,2,4,-1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,3,2,
-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1,2,-2,1,1,
2,-2,1,1,2,1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1],[3,1,2,
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1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[2,1,1,1],[1,1,2,-1,1,1,
2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1],[4,
1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]],[[2,1,1,1,2,2,1,1,2,1,1,
1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,
1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,2,
1,1,1,4,1,3,1]]],[[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[1,1,2,-3,1,1]],[[2,1,1,1],[
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1,3,1]],[[1,1,2,-3,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,3,1,2,1,4,-2,5,1]],[[2,1,1,1],[2,1,3,2,
2,1,1,1,2,2,3,-1,1,1,2,-1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,1,1,3,-1,
4,1,2,1,3,2,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,1,2,-1,4,-1,3,
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2,1,1,1],[1,1,2,-1],[3,2],[6,1,4,1,5,-2,4,1,6,-1]],[[2,1,1,1],[1,1,2,-3],[4,1,
3,-1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,-1,5,-1,4,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,3,1],[4,1,1,1,2,-1,
3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,
1,1,1],[4,2,2,-1,3,-1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-3,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-2,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,1,3,2,2,1,4,2]],[[1,1,2,1],[2,1,3,1],[4,1,1,1,2,-1,3,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,4,-1,1,1,3,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,4,-2,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,
-2]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,3,-1,4,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,1,4,-1,2,-1,3,1,1,1,4,1]],[[1,1,2,-1],[3,1,2,-1,1,1,2,-1,3,1,1,
1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,2,2,1,4,-2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,-1,2,
-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,1,1,3,-1,4,1,2,1,4,-1,3,1]],[[
2,1,1,1],[2,2,3,2,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,1],[1,1,2,-3],[4,1,3,-1,4,1,3,
-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,1,3,1,4,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,
3,-1,1,1,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,3,2,4,1]]],[[[1,1,2,
1],[2,1,1,1,2,-1,3,-1,2,1,3,2]],[[1,1,2,-1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,4,-2,3,-2]],[[1,1,2,1],[1,1,2,-2,3,2,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,1,4,-2,3,-1]],[[1,1,2,-2,1,1,2,-3]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,
4,1,2,-1,3,1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1],[4,2,1,1,2,2,
3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,2,2,1,3,2]],[[1,1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1,3,3,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,2,2,3,1,4,-1]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,
-1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,3,-2]]],[[[1,1,2,1],[1,1,2,-1,
3,1,2,2,1,1,2,1,3,2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-2,
3,-1,1,1,2,-1,1,1,3,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,3,2,-1,3,-1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,1,3,1,4,-1,1,1,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[4,
1,5,1,3,1,5,1,3,-1,4,1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-1],[4,1,5,1,3,1,5,1,3,-1,4,1]],[[1,1,2,1],[2,-1,1,1,2,-1,3,2]],[[2,1,1,1,
2,-3,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,4,2,2,-1,3,-1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,
2,1,1,1]],[[2,2],[2,1,1,1,3,-1,1,1,2,1,3,1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,3,1,4,-1,3,1,2,1,4,2]],[[1,1,2,1],[2,-1,3,1,2,2,3,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,-1,4,1,2,-1,4,-1]],[[2,1,1,1],[3,2,2,-1,1,
1,3,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,1,2,1,4,-1,3,1]],[[2,1,1,
1],[1,1,2,-1,1,1,2,2,3,2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,3,4,-1]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
-2,3,-1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
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1,2,1],[2,1,1,1],[1,1,2,-1,3,3,2,1,4,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-2,2,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,
1,4,-1,3,1,4,2]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]]],[[[1,1,2,
1],[2,1,3,1],[4,1,1,1,2,-1,3,-1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,3,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2],[5,1,4,2,5,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[
1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,3,1,1,4,1]],[[1,1,2,1],[2,-1,
3,3,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,3,
1],[3,1,4,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2],[5,1,4,-1,5,1,4,1]],[[
1,1,2,1],[2,2,3,3,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,2,2,1,4,
2]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,4,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,-1,2,-2,3,1,2,1,3,1,4,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,2,3,-1,4,1,2,-1]]],[[[2,2],[3,1,1,1,2,2,1,1,3,
1]],[[1,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[
1,1,2,-2,3,3,2,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,2,2,1],[5,1,4,2,5,-1]],[[2,1,1,1],[2,2,1,1,2,1],[4,1,3,1,4,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,2,3,-2,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,2,2,1,3,1,4,-1,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,3,3,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,2,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,2,3,1,4,2]],[[2,1,1,1,2,-2,1,1,2,-2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1,4,-1,5,1,3,2,4,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,
3,-1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,5,1,3,1,
4,2]]],[[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,2]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[2,1,
1,1],[2,2,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[3,2,2,-1,1,1,3,1,2,-1,3,
-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,2,2,-1,3,-2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,-2,3,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-2,3,1,4,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,-1]],[[
1,1,2,1],[1,1,2,-1,3,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1,3,-1,2,-2,1,1,2,-1,3,
2]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,1,1,2,-1,3,-2,4,-1]],[[2,1,1,1,2,-3,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,3,1,4,2]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,
3,2,2,1]]],[[[2,1,1,1,2,-2,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[3,1,2,2,3,1,2,2,1,
1]],[[1,1,2,1],[3,2,2,1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,
-2]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-4,2,1,1,
1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,
2,3,-2,2,-1]],[[1,1,2,1,1,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,
-3]],[[1,1,2,-2,1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,1,3,
1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,2,4,2]]],[[[1,1,2,1],[2,2,1,1,3,2,2,
2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,
4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,4,-1,2,-1,4,1,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,3,2,1,1,2,-1,3,
1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,-1,3,-1]],[[1,1,2,1],[2,2,1,1,3,
2,2,2]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,
1,2,2,3,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[2,1,1,1],[1,1,2,-2,
1,1,2,2,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-2,3,-1]],[[2,2],[3,1,1,1,2,-1,1,1,2,1,3,1]]],[[[1,1,2,-1,1,
1,2,1,1,1,2,1,1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[2,2,1,1,2,
1,3,-2,2,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,-1]],[[2,1,1,1],[3,1,2,-2,1,
1,2,2,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,
2,-1,1,1,2,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,2,3,
1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,2,3,1]],[[1,1,2,-2,1,1,
2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,-2,1,1,2,2,
1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-1,
3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,4,2,2,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,-1,2,-1,3,2,4,-1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,-3,1,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,-1,3,2,2,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,-2,2,-1]],[[1,1,2,-2,1,1,2,2,1,
1,2,-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,2,1,4,-1,3,-1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[2,1,4,-1,3,1,2,1,3,1,4,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[2,1,
1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,
2]],[[2,2],[3,1,1,1,2,2,1,1,3,1]],[[1,1,2,-2,1,1]]],[[[2,1,1,1],[1,1,2,-2,3,
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1],[2,1,1,1],[2,1,3,2,4,2,3,-2]],[[1,1,2,1],[2,-1,3,1,2,2,3,1]]],[[[1,1,2,1],[
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1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1,1,1]],[[2,2],[3,1,1,
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3,1,1,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,
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5,2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2]]],[[[1,1,2,
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1,2,1],[3,2],[4,1,1,1,2,-1,4,-1]],[[2,-3]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,
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1]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,4,-1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
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1],[2,1,1,1],[1,1,3,-1,4,2,2,1,3,2]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,
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3,1]],[[1,1,2,1],[1,1,3,-3,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,2,1,1,
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1],[2,2],[4,1,3,1,4,1,3,1]],[[2,-3]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
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1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-2]],[[1,
1,2,1],[3,2,2,2,1,1,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,1,1,1],[
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1,2,1,1,1,2,-2,3,-1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,-1,3,-1,4,1,3,-1,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
3,-2,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,-1,3,-1]],[[1,1,2,1],[
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2]],[[1,1,2,-2,1,1,2,2,1,1,2,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,1,
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1],[3,2,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,1]],[[1,1,2,-2,1,
1,2,2,1,1]],[[2,2]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[
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1,3,-1,2,-1,1,1,2,1,3,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,2]]],[[[1,1,
2,1],[2,1,1,1],[3,1,2,1,4,2,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-1,
3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,2,2,3,1,4,-1]]],[[[1,1,2,1],[3,1,
2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,3,1,4,2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[2,1,1,1],[1,
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1,1,2,-2,1,1,2,2,1,1,2,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[
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2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[3,2,2,2,1,1,2,-1,3,1]],[[1,1,2,1],[3,2,2,1,1,
1,2,-2,3,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[2,1,1,1],[3,2,2,2]]],[[[1,
1,2,1],[1,1,2,-2,3,1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,3,1],[4,1,1,1,2,-1,3,
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2,1],[2,1,1,1],[3,1,4,2,2,2,3,1]],[[1,1,2,1],[1,1,2,-2,3,3,2,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,-2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1,
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3,-1,4,1,3,-2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
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4,1,3,-1,4,1,3,-2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,
1],[2,1,3,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,-1]],[[2,1,1,
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1,1,2,1],[2,1,3,2,2,1,1,1,3,-1]]],[[[2,1,1,1],[2,1,1,1,2,1],[4,1,3,-2,4,
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1,1,1,2,-1,3,-1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,3,-2]],[[2,2],[
3,1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1,2,-2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,1,1,4,2,3,-2]],[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,1,3,-1,
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4,-1]],[[1,1,2,1],[3,2,2,2,3,1,2,1,1,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,
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1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-2,3,-1]],[[1,1,2,1],[2,1,3,1],[4,1,
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3,-1,2,2,3,1]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[1,1,2,-2,1,1,2,2,1,1,2,
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1],[3,1,2,-3,3,-1,1,1,2,1]],[[1,1,2,-2,1,1,2,2,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,
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2,1,3,-2,2,-1]]],[[[2,1,1,1,2,-2,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[1,1,3,-3,2,
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1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[1,1,2,-2,1,1]],[[2,1,1,1],[3,1,2,
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1,1,2,2,1,1,2,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,1,1,1,
3,-1,2,-2,3,-2]],[[2,-3]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-1,3,1,4,-1,2,-1,
4,-1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,2,1,1,2,1],[
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1,2,1],[2,1,1,1],[2,1,3,2,4,2,3,-2]],[[1,1,2,1],[2,1,1,1],[1,1,3,-1,4,2,2,1,4,
1,3,-1]],[[2,1,1,1],[3,2,2,-1,1,1,3,1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,3,1,1,
1,3,-1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,-1,2,-2,4,-1]],[[2,1,1,1,2,-1,
1,1,2,-2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,2,3,2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-1,3,2,4,1]],[[1,1,2,
1],[2,1,1,1],[3,1,1,1,4,2,3,1,4,-1,2,-1]]],[[[2,2],[2,1,1,1,3,1,1,1,2,1,3,
1]],[[1,1,2,1],[3,1,1,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
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4,1]]],[[[1,1,2,1],[3,2,2,1,3,1,2,1,1,1,2,-1]],[[2,-3,1,1,2,1,1,1]]],[[[1,1,2,
1],[2,2,3,3,1,1,2,-1]],[[1,1,2,1],[1,1,3,-1,2,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,
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1],[2,1,1,1],[4,1,3,-1,4,1,3,-2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,1]],[[1,1,2,
1],[2,1,1,1,2,-1,3,-1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,
-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1,
3,-1,2,1,3,2]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[3,2,
2,1,3,2,2,1,1,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,1,2,2]],[[1,1,2,1],[2,1,1,1,2,
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3,3,-1,2,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
4,1,2,1,4,-1,3,1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,1,3,2,2,2,3,1]]],[[[
1,1,2,1],[2,1,1,1],[2,1,4,3,3,-2]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,1,
1,1,2,2,1,1,2,-2,1,1,2,1]]],[[[1,1,2,1],[2,2,1,1,3,-1,2,-1,3,-2]],[[1,1,2,-2,
1,1,2,2,1,1,2,-2]],[[1,1,2,1],[2,1,1,1,2,-1,3,-1,2,2,3,1]]],[[[1,1,2,1],[1,1,
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-2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,2,-1,3,1]],[[1,1,2,-1],[3,1,1,1,2,-1,3,1,1,
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4,-1,3,1]],[[2,-3]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[2,1,1,1,2,-3,1,1,2,
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3,2,4,1]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,2]],[[2,-3]]],[[[2,1,1,1],[1,1,2,-1,
3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[2,2,3,3,1,1,2,-1]],[[1,1,2,1],[3,2,2,2,1,1,
3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,2,2,-1,3,-2]],[[1,1,2,-3,1,
1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[2,2],[3,1,2,1,1,1,3,1,1,1,2,1]],[[1,1,2,-3,
1,1]]],[[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,2]],[[1,1,2,-2,1,1]]],[[[1,1,2,1],[1,1,
2,-1,3,1,1,1,3,-1,2,1,1,1]],[[1,1,2,1],[2,-1,3,1,2,1,1,1,2,-1]],[[2,2]]],[[[1,
1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1],[5,1,3,-1,4,2,5,1,3,
1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,
2]],[[1,1,2,1],[2,2,3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,
2,-1,3,2,4,-1]],[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,-3,1,1]]],[[[2,1,1,1],[1,1,
2,-1,1,1,2,2,3,2]],[[1,1,2,1],[3,1,2,1,1,1,2,-2,3,1]]],[[[2,1,1,1],[2,1,3,2,2,
-1,1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,3,1,1,1,4,1]]],[[[1,1,2,1],[3,
1,1,1,2,1,1,1,2,1,3,1]],[[1,1,2,1],[3,2,2,1,3,1]],[[2,1,1,1,2,-3,1,1,2,
-1]]],[[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1,2,-2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-2,3,
-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[2,2,3,1,2,2,1,1,3,
-1]],[[2,1,1,1,2,-2,1,1,2,-1]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,
-1,4,-1,3,-2,2,-1]],[[2,1,1,1],[2,2,3,1,2,1,3,-1,2,-1,1,1,3,1]],[[2,1,1,1],[2,
2,1,1,2,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,2,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,3,4,-1]],[[2,1,1,1,2,2,1,1,2,-2,1,1,2,
1]],[[1,1,2,1],[3,2,2,2,1,1,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,3,-2]],[[1,1,
2,1],[2,1,3,1],[4,1,3,1,4,1]]],[[[1,1,2,1],[2,2,1,1,3,2,2,2]],[[1,1,2,1],[2,2,
3,1,2,2,1,1,3,-1]],[[1,1,2,-3,1,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-1,3,-2]],[[2,
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2,1],[2,2,1,1],[3,1,4,2,3,-1]],[[2,-3]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,3,2,-1,
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1],[3,1,2,1,3,1,2,1,1,1,2,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,
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2,1],[1,1,2,-1,3,3,2,1,1,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[2,1,1,
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LIBTOM( "3^4:2^3.S4(a)",
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13,48,65,105,255],[1,6,9,10,11,14,48,49,50,59,114,256],[1,5,8,10,63,69,98,
257],[1,6,8,13,14,49,65,110,258],[1,5,10,12,55,63,99,259],[1,4,10,12,14,47,67,
70,101,260],[1,6,8,11,13,50,65,102,261],[1,5,10,11,12,54,55,100,262],[1,4,9,
10,11,14,38,47,56,67,114,263],[1,5,10,63,112,264],[1,3,12,14,37,51,113,265],[
1,4,11,12,36,52,107,266],[1,4,8,13,14,39,47,110,267],[1,3,10,12,14,37,45,101,
268],[1,4,10,12,14,36,47,101,269],[1,7,9,12,43,46,109,270],[1,3,11,12,41,45,
107,271],[1,5,10,11,12,54,63,71,100,272],[1,5,7,8,16,20,33,69,94,161,273],[1,
2,4,5,6,12,21,22,23,29,30,42,57,58,60,68,70,72,88,117,121,136,151,173,175,177,
274],[1,5,7,13,16,20,33,64,94,183,275],[1,3,5,13,15,27,34,64,85,119,276],[1,2,
4,11,23,24,35,38,66,96,132,134,135,277],[1,3,6,13,15,19,65,77,119,278],[1,2,3,
4,5,7,12,22,23,25,26,28,31,32,36,45,46,52,58,60,68,81,125,126,155,163,176,177,
184,279],[1,2,5,11,24,29,35,40,54,66,83,127,133,135,280],[1,2,4,5,6,12,21,22,
23,29,30,36,42,52,55,57,60,71,88,117,141,152,163,164,167,170,281],[1,4,7,13,
16,20,28,39,87,183,282],[1,2,3,4,5,7,12,22,23,25,26,28,31,32,45,52,55,57,62,
68,70,81,124,136,141,143,150,153,155,283],[1,3,4,14,15,31,34,37,47,51,78,142,
147,159,284],[1,3,4,13,15,31,34,39,78,119,285],[1,2,4,11,23,24,35,38,40,66,96,
133,134,178,286],[1,3,6,14,19,34,37,49,51,89,120,157,159,287],[1,2,5,8,24,29,
35,69,83,144,288],[1,2,4,13,23,24,35,39,96,172,289],[1,2,5,13,24,29,35,64,83,
172,290],[1,2,4,5,6,11,21,22,23,29,30,38,40,50,54,66,88,122,127,128,134,165,
291],[1,2,6,13,21,24,65,82,172,292],[1,2,3,4,5,7,12,22,25,26,27,29,32,33,45,
46,55,60,70,71,72,84,125,137,148,150,154,170,175,293],[1,4,5,6,7,12,18,26,28,
30,33,42,46,52,58,62,70,71,97,138,148,153,167,168,173,176,294],[1,2,3,4,5,7,
12,22,23,25,26,28,31,32,36,41,52,60,62,70,72,81,145,153,163,171,175,179,182,
295],[1,4,5,6,7,9,18,26,28,30,33,43,44,48,56,61,97,123,129,139,146,169,296],[
1,2,5,11,24,29,35,54,66,83,127,132,178,297],[1,3,6,14,15,19,37,49,51,77,147,
157,162,298],[1,3,4,5,6,14,19,27,30,31,32,37,47,49,51,53,92,116,140,142,156,
157,299],[1,6,7,9,18,20,43,44,48,73,123,160,180,300],[1,2,6,11,21,24,40,50,66,
82,132,133,165,301],[1,4,5,6,7,12,18,26,28,30,33,36,42,46,55,62,68,72,97,126,
137,138,143,151,164,182,302],[1,6,7,9,16,18,43,44,48,80,123,158,181,303],[1,3,
5,14,15,27,34,51,53,85,116,159,162,304],[1,5,7,9,16,20,33,43,44,61,94,129,158,
160,305],[1,5,7,9,16,20,33,44,61,94,129,180,181,306],[1,3,5,14,15,27,34,37,51,
53,85,116,120,147,307],[1,3,4,5,6,12,19,27,30,31,32,41,42,45,52,68,71,72,92,
130,131,151,154,155,167,171,308],[1,2,3,4,5,7,12,22,25,26,27,29,32,33,41,55,
58,60,62,68,71,84,131,143,145,166,168,170,177,309],[1,3,4,14,15,31,34,47,51,
78,120,142,162,310],[1,3,4,5,6,12,19,27,30,31,32,36,41,42,45,55,58,70,92,130,
150,164,166,173,179,184,311],[1,6,7,13,16,18,65,80,183,312],[1,4,7,9,16,20,28,
43,44,56,87,158,169,180,313],[1,3,5,8,15,27,34,69,85,115,314],[1,6,13,17,65,
95,315],[1,2,6,11,21,35,40,50,66,91,135,165,178,316],[1,2,3,4,5,7,12,22,25,26,
27,29,32,33,41,46,52,55,57,58,72,84,118,121,137,141,166,171,176,317],[1,2,3,4,
5,7,12,22,23,25,26,28,31,32,36,41,46,57,68,70,71,81,118,126,131,136,148,152,
179,318],[1,2,3,4,5,7,12,22,25,26,27,29,32,33,36,45,57,58,62,71,72,84,121,124,
152,154,168,182,184,319],[1,4,7,9,16,20,28,44,56,87,160,169,181,320],[1,2,3,6,
7,12,18,19,21,25,41,42,45,46,57,60,62,86,117,118,124,125,130,138,145,321],[1,
10,12,99,103,322],[1,9,10,11,12,14,99,100,101,104,111,114,323],[1,10,12,99,
106,324],[1,10,11,12,99,100,107,325],[1,8,9,10,11,13,14,98,102,105,108,110,
114,326],[1,10,103,104,106,112,327],[1,8,10,12,98,99,328],[1,9,10,11,12,14,
100,101,107,109,111,113,114,329],[1,10,12,99,112,330],[1,10,12,13,99,108,
331],[1,9,10,11,14,103,106,112,114,332],[1,10,12,14,99,101,113,333],[1,8,10,
13,98,104,108,334],[1,9,10,12,99,109,111,335],[1,2,3,6,7,17,18,19,20,21,24,25,
34,73,75,82,86,89,90,93,187,194,198,336],[1,2,3,6,7,15,17,18,19,20,21,25,35,
73,74,76,77,86,91,93,192,196,198,337],[1,2,3,6,7,16,17,18,19,21,25,34,35,74,
79,80,86,89,90,91,185,187,196,338],[1,2,3,4,5,6,7,17,18,19,21,22,23,24,25,26,
27,28,29,30,31,32,33,35,75,81,82,83,84,86,88,90,91,92,93,96,97,191,193,194,
195,196,339],[1,2,3,4,5,6,7,15,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,
34,74,76,77,78,81,84,85,86,88,89,92,93,97,187,189,190,192,193,340],[1,2,3,6,7,
15,16,17,18,19,21,24,25,74,75,76,77,79,80,82,86,90,93,95,185,188,192,194,
341],[1,2,3,4,5,6,7,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,73,74,
79,80,81,84,86,87,88,90,92,94,97,185,186,193,197,198,342],[1,2,5,10,11,12,29,
54,55,60,63,66,71,100,127,170,205,262,272,343],[1,2,3,7,12,14,25,37,41,46,57,
60,62,113,118,145,215,226,246,344],[1,4,5,6,11,12,30,38,42,50,54,58,68,70,72,
107,128,151,173,207,236,248,345],[1,2,5,9,12,29,55,57,58,60,61,71,72,109,121,
170,231,238,239,346],[1,2,3,7,9,12,25,41,44,45,57,60,62,109,124,145,208,238,
251,347],[1,2,5,11,12,29,40,55,60,71,107,170,227,252,348],[1,2,5,11,12,29,54,
57,58,66,72,107,121,127,204,236,349],[1,4,5,6,12,14,30,42,47,49,52,53,68,71,
72,113,151,156,167,223,229,247,350],[1,4,5,6,9,10,11,14,30,38,47,48,49,50,53,
54,56,59,61,63,67,114,128,146,156,174,218,256,263,351],[1,2,3,7,11,12,25,40,
41,45,46,60,62,107,125,145,216,227,271,352],[1,4,5,6,9,10,12,30,42,48,56,59,
61,63,67,68,72,111,146,151,174,217,230,254,353],[1,4,5,6,9,12,30,42,48,52,56,
58,61,70,71,109,146,167,173,214,221,239,354],[1,3,4,5,11,12,32,38,41,45,55,68,
70,71,107,131,150,207,252,271,355],[1,2,4,5,12,14,22,47,52,55,57,58,60,68,113,
141,177,226,229,249,356],[1,4,5,7,12,14,26,36,46,53,62,70,71,72,113,148,182,
223,245,246,357],[1,2,6,10,11,12,21,40,42,50,57,59,60,66,100,117,165,202,203,
205,358],[1,3,8,13,14,15,51,110,115,119,162,359],[1,4,5,6,10,12,14,30,42,47,
49,53,58,59,63,67,70,101,156,173,174,222,235,260,360],[1,6,7,12,14,18,42,46,
49,62,113,138,246,247,361],[1,3,6,10,12,14,19,37,41,42,45,49,51,59,101,130,
157,209,222,268,362],[1,2,5,12,14,29,53,55,57,58,60,71,72,113,121,170,223,226,
249,363],[1,4,5,6,10,13,30,39,59,63,64,65,67,108,149,174,200,233,237,364],[1,
2,4,10,11,12,23,36,38,52,60,66,67,100,134,163,205,212,228,365],[1,2,11,12,24,
40,60,66,107,133,224,227,366],[1,6,7,11,12,18,42,46,50,62,107,138,216,248,
367],[1,6,12,14,17,42,49,113,247,368],[1,6,7,9,12,18,42,43,44,48,109,123,199,
214,369],[1,3,6,12,14,19,37,41,42,45,49,51,113,130,157,215,220,247,370],[1,4,
5,6,10,11,12,30,38,42,50,52,54,59,63,67,71,100,128,167,174,203,228,272,371],[
1,6,7,9,12,18,42,43,44,46,48,62,109,123,138,214,251,270,372],[1,2,8,11,13,24,
66,102,132,144,172,373],[1,3,6,12,14,19,37,42,49,51,113,157,247,265,374],[1,3,
12,14,34,45,51,113,120,159,220,375],[1,2,11,12,24,40,57,66,107,132,133,204,
224,376],[1,7,9,12,16,43,44,62,109,158,181,199,251,377],[1,3,4,5,9,12,32,41,
45,52,55,56,70,72,109,150,171,208,221,231,378],[1,2,4,12,14,23,36,47,52,57,60,
68,70,113,136,163,226,229,245,379],[1,2,4,5,11,12,22,36,52,55,57,66,71,107,
141,152,204,252,266,380],[1,6,7,9,10,12,18,42,43,44,46,48,59,62,111,123,138,
217,225,244,381],[1,2,6,11,12,21,40,42,50,66,107,165,224,248,382],[1,6,9,12,
17,42,48,109,214,383],[1,2,3,7,9,12,25,41,43,45,46,57,60,109,118,125,208,238,
270,384],[1,4,5,7,12,14,26,46,47,52,55,58,62,68,113,143,176,229,246,249,385],[
1,7,9,12,20,44,62,109,160,180,251,386],[1,4,5,7,11,12,26,36,46,52,54,58,62,72,
107,176,182,216,236,266,387],[1,7,9,12,16,43,44,46,109,158,199,270,388],[1,4,
5,7,9,10,12,26,36,43,56,61,62,63,72,111,139,182,210,244,254,389],[1,3,12,14,
15,37,45,51,113,147,162,220,265,390],[1,3,4,5,12,14,32,36,45,51,55,58,70,113,
150,184,220,245,249,391],[1,2,4,5,9,12,22,36,57,58,60,61,68,71,109,152,177,
238,239,253,392],[1,4,5,6,10,12,14,30,36,42,47,49,53,55,59,101,156,164,222,
243,269,393],[1,4,5,7,11,12,26,38,46,55,62,68,70,71,107,143,148,207,216,252,
394],[1,4,5,6,9,12,30,36,42,48,55,68,72,109,151,164,214,231,253,395],[1,3,4,5,
9,12,32,36,41,45,58,61,68,71,109,131,184,208,239,253,396],[1,4,5,6,8,9,13,30,
39,48,56,61,64,65,69,105,146,149,206,232,255,397],[1,2,4,5,10,11,12,22,36,38,
40,54,57,63,71,100,122,152,202,212,272,398],[1,5,7,9,12,33,43,46,55,72,109,
137,231,270,399],[1,3,4,5,12,14,32,37,41,47,52,53,68,71,72,113,131,140,171,
215,223,229,400],[1,2,4,5,11,12,22,38,40,54,58,60,68,70,72,107,122,175,177,
207,227,236,401],[1,2,4,5,9,12,22,52,55,56,57,60,70,72,109,141,175,221,231,
238,402],[1,2,4,11,12,23,36,40,52,60,107,163,227,266,403],[1,2,6,9,12,21,42,
48,57,60,109,117,214,238,404],[1,4,5,6,12,14,30,36,42,49,55,58,70,113,164,173,
245,247,249,405],[1,4,7,11,12,28,36,38,46,52,62,68,70,107,126,153,207,216,266,
406],[1,4,5,6,8,13,14,30,39,47,49,53,64,65,69,110,149,156,241,258,267,407],[1,
4,5,7,9,12,26,36,44,55,62,68,72,109,143,182,231,251,253,408],[1,2,6,11,12,21,
40,42,50,57,60,66,107,117,165,204,227,248,409],[1,4,5,6,10,11,12,30,36,38,42,
50,54,55,59,100,128,164,203,212,262,410],[1,4,5,6,10,12,30,36,42,55,59,63,67,
99,164,174,213,240,259,411],[1,3,12,14,34,37,41,113,215,412],[1,3,6,9,12,19,
41,42,45,48,109,130,208,214,413],[1,2,4,5,12,14,22,36,53,57,60,70,71,72,113,
152,175,223,226,245,414],[1,4,5,6,9,10,12,30,36,42,48,55,56,59,61,111,146,164,
210,217,250,415],[1,3,4,12,14,31,45,47,51,52,68,113,142,155,220,229,416],[1,3,
4,5,11,12,32,36,41,45,52,54,58,72,107,171,184,236,266,271,417],[1,7,8,9,13,16,
44,105,161,181,183,418],[1,2,3,7,11,12,25,41,45,46,57,62,66,107,118,124,204,
216,271,419],[1,2,4,11,12,23,38,57,66,68,70,107,134,136,204,207,420],[1,2,4,9,
12,23,36,52,56,57,60,68,70,109,136,163,221,238,253,421],[1,3,4,5,10,12,14,32,
36,37,45,47,53,58,63,101,140,184,235,268,269,422],[1,2,6,12,14,21,42,49,57,60,
113,117,226,247,423],[1,2,3,7,12,14,25,45,46,51,57,60,62,113,124,125,220,226,
246,424],[1,4,7,12,14,28,36,46,47,52,62,68,70,113,126,153,229,245,246,425],[1,
5,7,9,12,33,44,58,61,62,71,109,129,168,239,251,426],[1,4,5,6,8,11,13,30,38,39,
50,54,64,65,69,102,128,149,201,242,261,427],[1,4,7,9,12,28,36,43,46,68,109,
126,253,270,428],[1,3,12,14,15,37,41,51,113,147,215,265,429],[1,3,4,11,12,31,
36,38,41,45,52,68,70,107,155,179,207,266,271,430],[1,4,5,7,9,10,12,26,43,55,
56,61,62,67,68,111,139,143,230,244,250,431],[1,3,4,12,14,31,36,37,41,70,113,
179,215,245,432],[1,2,11,12,35,57,66,107,135,178,204,433],[1,5,7,12,14,33,46,
53,55,58,62,71,72,113,137,168,223,246,249,434],[1,3,5,11,12,27,41,45,54,55,58,
71,72,107,154,166,236,252,271,435],[1,3,4,5,10,12,14,32,37,45,47,53,55,67,70,
101,140,150,243,260,268,436],[1,3,6,11,12,19,41,42,45,50,107,130,248,271,
437],[1,3,4,10,12,14,31,36,41,47,51,67,70,101,142,179,209,260,269,438],[1,7,9,
12,20,43,46,109,270,439],[1,5,7,9,10,12,33,44,46,55,61,63,72,111,129,137,225,
250,254,440],[1,3,5,12,14,27,45,51,53,71,72,113,116,154,220,223,441],[1,3,5,9,
12,27,41,45,55,58,61,71,72,109,154,166,208,231,239,442],[1,6,11,12,17,42,50,
107,248,443],[1,4,5,6,11,12,30,36,42,50,52,55,71,107,164,167,248,252,266,
444],[1,6,10,17,59,104,211,445],[1,4,7,9,12,28,44,52,56,62,70,109,153,169,221,
251,446],[1,4,5,7,9,12,26,43,46,52,56,58,61,70,71,109,139,148,176,221,239,270,
447],[1,2,4,5,10,11,12,22,38,40,52,54,55,57,67,100,122,141,202,228,262,448],[
1,4,7,9,10,12,28,36,44,46,56,67,68,111,126,169,210,225,230,449],[1,3,4,9,12,
31,36,41,45,52,56,68,70,109,155,179,208,221,253,450],[1,5,7,11,12,33,46,54,55,
58,62,71,72,107,137,168,216,236,252,451],[1,3,5,10,12,14,27,41,51,53,55,58,63,
101,116,166,209,235,243,452],[1,2,11,12,35,40,60,107,227,453],[1,3,5,12,14,27,
37,41,55,58,113,166,215,249,454],[1,4,5,6,7,13,16,18,20,26,28,30,33,39,64,65,
73,80,87,94,97,149,183,186,275,282,312,455],[1,2,4,5,6,11,21,22,23,24,29,30,
35,38,40,50,54,66,82,83,88,91,96,122,127,128,132,133,134,135,165,178,191,277,
280,286,291,297,301,316,456],[1,4,5,6,7,9,16,18,20,26,28,30,33,43,44,48,56,61,
73,80,87,94,97,123,129,139,146,158,160,169,180,181,186,296,300,303,305,306,
313,320,457],[1,2,4,5,6,13,21,22,23,24,29,30,35,39,64,65,82,83,88,91,96,149,
172,191,289,290,292,458],[1,3,4,5,6,13,15,19,27,30,31,32,34,39,64,65,77,78,85,
89,92,119,149,189,276,278,285,459],[1,2,3,4,5,6,7,12,18,19,21,22,23,25,26,27,
28,29,30,31,32,33,36,41,42,45,46,52,55,57,58,60,62,68,70,71,72,81,84,86,88,92,
97,117,118,121,124,125,126,130,131,136,137,138,141,143,145,148,150,151,152,
153,154,155,163,164,166,167,168,170,171,173,175,176,177,179,182,184,193,274,
279,281,283,293,294,295,302,308,309,311,317,318,319,321,460],[1,3,4,5,6,14,15,
19,27,30,31,32,34,37,47,49,51,53,77,78,85,89,92,116,120,140,142,147,156,157,
159,162,189,284,287,298,299,304,307,310,461],[1,5,10,12,14,53,55,58,63,99,101,
113,235,243,249,259,333,462],[1,4,10,12,13,36,39,67,99,108,200,213,331,463],[
1,6,9,10,12,42,48,59,99,109,111,214,217,240,335,464],[1,7,9,10,12,43,44,46,99,
109,111,199,225,270,335,465],[1,2,9,10,11,12,14,40,57,60,100,101,107,109,111,
113,114,202,226,227,238,329,466],[1,2,10,11,12,40,57,66,99,100,107,202,204,
224,325,467],[1,7,9,10,12,43,44,62,99,109,111,199,244,251,335,468],[1,4,9,10,
11,12,14,36,38,47,56,67,99,100,101,104,111,114,210,212,213,263,269,323,469],[
1,5,9,10,11,14,53,54,61,63,103,106,112,114,218,219,234,264,332,470],[1,3,9,10,
11,12,14,41,45,51,100,101,107,109,111,113,114,208,209,220,271,329,471],[1,5,9,
10,11,12,14,53,54,58,61,63,71,72,100,101,107,109,111,113,114,218,223,235,236,
239,254,272,329,472],[1,3,10,12,14,37,45,51,99,101,113,220,265,268,333,473],[
1,2,9,10,11,12,14,57,60,66,100,101,107,109,111,113,114,204,205,226,238,329,
474],[1,6,8,10,13,59,65,98,104,108,211,237,334,475],[1,4,9,10,11,12,14,38,47,
52,56,67,68,70,100,101,107,109,111,113,114,207,221,228,229,230,260,263,329,
476],[1,6,8,9,10,11,13,14,48,49,50,59,65,98,102,105,108,110,114,237,255,256,
258,261,326,477],[1,7,9,10,11,12,14,44,46,62,100,101,107,109,111,113,114,216,
225,246,251,329,478],[1,2,10,11,12,40,60,66,99,100,107,205,224,227,325,479],[
1,5,9,10,11,12,14,53,54,55,61,63,99,100,101,104,111,114,218,243,250,259,262,
323,480],[1,6,9,10,11,12,14,42,48,49,50,59,100,101,107,109,111,113,114,203,
214,217,222,247,248,256,329,481],[1,5,10,12,55,63,99,106,234,259,324,482],[1,
7,9,10,11,12,14,43,46,62,100,101,107,109,111,113,114,216,244,246,270,329,
483],[1,5,8,10,12,55,63,69,98,99,257,259,328,484],[1,5,10,12,55,63,99,103,219,
259,322,485],[1,6,10,11,12,42,50,59,99,100,107,203,240,248,325,486],[1,3,10,
12,14,37,41,51,99,101,113,209,215,265,333,487],[1,4,9,10,11,12,14,36,52,56,70,
100,101,107,109,111,113,114,210,221,245,266,329,488],[1,4,8,9,10,11,13,14,38,
39,47,56,67,98,102,105,108,110,114,200,201,232,263,267,326,489],[1,5,8,9,10,
11,13,14,53,54,61,63,64,69,98,102,105,108,110,114,206,218,233,241,242,257,326,
490],[1,4,10,11,12,36,38,52,67,99,100,107,212,213,228,266,325,491],[1,4,9,10,
11,12,14,36,47,52,68,100,101,107,109,111,113,114,229,253,266,269,329,492],[1,
5,10,11,12,54,55,63,71,99,100,107,252,259,262,272,325,493],[1,5,10,12,55,63,
99,112,259,264,330,494],[1,6,9,10,11,12,14,42,48,49,50,59,99,100,101,104,111,
114,203,211,217,222,240,256,323,495],[1,6,10,12,13,42,59,65,99,108,237,240,
331,496],[1,5,9,10,11,12,14,54,55,58,72,100,101,107,109,111,113,114,231,236,
249,262,329,497],[1,5,9,10,12,55,61,63,72,99,109,111,231,250,254,259,335,
498],[1,5,9,10,11,12,14,55,58,61,71,100,101,107,109,111,113,114,239,249,250,
252,329,499],[1,6,10,12,14,42,49,59,99,101,113,222,240,247,333,500],[1,5,10,
12,13,55,63,64,99,108,233,259,331,501],[1,4,9,10,12,36,56,67,68,99,109,111,
210,213,230,253,335,502],[1,4,10,12,14,36,47,67,70,99,101,113,213,245,260,269,
333,503],[1,4,9,10,11,12,14,36,38,68,70,100,101,107,109,111,113,114,207,212,
245,253,329,504],[1,5,9,10,11,12,14,53,55,71,72,100,101,107,109,111,113,114,
223,231,243,252,329,505],[1,3,9,10,11,12,14,37,41,45,100,101,107,109,111,113,
114,208,215,268,271,329,506],[1,2,3,4,5,6,7,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,
89,90,91,92,93,94,95,96,97,185,186,187,188,189,190,191,192,193,194,195,196,
197,198,336,337,338,339,340,341,342,507],[1,2,4,5,6,9,12,21,22,23,29,30,36,42,
48,52,55,56,57,58,60,61,68,70,71,72,88,109,117,121,136,141,146,151,152,163,
164,167,170,173,175,177,214,221,231,238,239,253,274,281,346,354,392,395,402,
404,421,508],[1,2,5,11,12,24,29,35,40,54,57,58,66,72,83,107,121,127,132,133,
135,178,204,224,236,280,297,349,376,433,509],[1,2,4,5,6,11,12,21,22,23,29,30,
38,40,42,50,54,57,58,60,66,68,70,72,88,107,117,121,122,127,128,134,136,151,
165,173,175,177,204,207,227,236,248,274,291,345,349,401,409,420,510],[1,6,10,
17,59,95,104,211,445,511],[1,2,4,11,12,23,24,35,36,40,52,60,66,96,107,133,163,
224,227,266,366,403,453,512],[1,3,4,8,13,14,15,31,34,39,47,51,78,110,115,119,
120,142,162,267,285,310,359,513],[1,4,7,9,12,16,20,28,43,44,52,56,62,70,87,
109,153,158,160,169,180,181,199,221,251,313,320,377,386,446,514],[1,3,4,5,6,
12,14,19,27,30,31,32,37,41,42,45,47,49,51,52,53,68,71,72,92,113,116,130,131,
140,142,151,154,155,156,157,167,171,215,220,223,229,247,299,308,350,370,400,
416,441,515],[1,2,6,7,9,12,17,18,21,42,43,44,48,57,60,90,109,117,123,199,214,
238,369,383,404,516],[1,3,6,7,9,12,17,18,19,41,42,43,44,45,48,74,109,123,130,
199,208,214,369,383,413,517],[1,3,4,12,14,15,31,34,36,37,41,51,70,78,113,147,
179,215,245,265,412,429,432,518],[1,2,5,11,12,24,29,35,40,55,60,66,71,83,107,
133,170,224,227,252,348,366,453,519],[1,6,7,9,12,17,18,42,43,44,46,48,62,79,
109,123,138,214,251,270,372,383,520],[1,6,7,9,12,16,18,42,43,44,46,48,62,80,
109,123,138,158,181,199,214,251,270,303,369,372,377,388,521],[1,2,6,11,12,21,
35,40,42,50,57,60,66,91,107,117,135,165,178,204,227,248,316,409,433,522],[1,3,
4,12,14,15,31,34,37,45,47,51,52,68,78,113,120,142,147,155,159,162,220,229,265,
284,310,375,390,416,523],[1,3,6,7,12,14,17,18,19,37,42,46,49,51,62,74,113,138,
157,246,247,265,361,368,374,524],[1,2,5,8,11,13,24,29,35,54,64,66,69,83,102,
127,132,144,172,178,242,288,290,297,373,525],[1,6,7,9,12,18,20,42,43,44,46,48,
62,73,109,123,138,214,251,270,372,439,526],[1,2,3,4,5,7,9,12,22,25,26,27,29,
32,33,36,41,44,45,55,57,58,60,61,62,68,71,72,84,109,121,124,129,131,143,145,
152,154,166,168,170,177,182,184,208,231,238,239,251,253,309,319,346,347,392,
396,408,426,442,527],[1,6,7,9,12,18,20,42,43,44,46,48,62,73,109,123,138,160,
180,214,251,270,300,372,386,528],[1,2,3,4,5,7,9,12,22,25,26,27,29,32,33,41,43,
45,46,52,55,56,57,58,60,61,70,71,72,84,109,118,121,125,137,139,141,148,150,
154,166,170,171,175,176,208,221,231,238,239,270,293,317,346,378,384,399,402,
442,447,529],[1,2,3,4,5,7,12,14,22,23,25,26,28,31,32,36,45,46,47,51,52,55,57,
58,60,62,68,70,81,113,124,125,126,136,141,142,143,150,153,155,163,176,177,184,
220,226,229,245,246,249,279,283,356,379,385,391,416,424,425,530],[1,3,5,12,14,
15,27,34,37,45,51,53,71,72,85,113,116,120,147,154,159,162,220,223,265,304,307,
375,390,441,531],[1,5,7,8,9,13,16,20,33,44,61,64,69,94,105,129,161,180,181,
183,206,273,275,306,418,532],[1,2,4,5,6,10,11,12,21,22,23,29,30,36,38,40,42,
50,52,54,55,57,59,60,63,66,67,71,88,100,117,122,127,128,134,141,152,163,164,
165,167,170,174,202,203,205,212,228,262,272,281,291,343,358,365,371,398,410,
448,533],[1,3,6,12,14,17,19,37,41,42,45,49,51,76,113,130,157,215,220,247,368,
370,534],[1,2,6,8,11,13,21,24,40,50,65,66,82,102,132,133,144,165,172,261,292,
301,373,535],[1,2,3,4,5,7,12,14,22,25,26,27,29,32,33,36,45,46,51,53,55,57,58,
60,62,70,71,72,84,113,116,121,124,125,137,148,150,152,154,168,170,175,182,184,
220,223,226,245,246,249,293,319,357,363,391,414,424,434,441,536],[1,3,4,5,6,
10,12,14,19,27,30,31,32,36,37,41,42,45,47,49,51,53,55,58,59,63,67,70,92,101,
116,130,140,142,150,156,157,164,166,173,174,179,184,209,222,235,243,260,268,
269,299,311,360,362,393,422,436,438,452,537],[1,4,5,6,7,9,10,12,18,26,28,30,
33,36,42,43,44,46,48,55,56,59,61,62,63,67,68,72,97,111,123,126,129,137,138,
139,143,146,151,164,169,174,182,210,217,225,230,244,250,254,296,302,353,381,
389,415,431,440,449,538],[1,3,4,5,6,9,12,19,27,30,31,32,36,41,42,45,48,52,55,
56,58,61,68,70,71,72,92,109,130,131,146,150,151,154,155,164,166,167,171,173,
179,184,208,214,221,231,239,253,308,311,354,378,395,396,413,442,450,539],[1,2,
3,4,5,7,9,12,22,23,25,26,28,31,32,36,41,44,45,52,55,56,57,60,62,68,70,72,81,
109,124,136,141,143,145,150,153,155,163,169,171,175,179,182,208,221,231,238,
251,253,283,295,347,378,402,408,421,446,450,540],[1,4,5,6,7,9,12,18,26,28,30,
33,36,42,43,44,46,48,55,62,68,72,97,109,123,126,137,138,143,151,164,182,214,
231,251,253,270,302,372,395,399,408,428,541],[1,2,6,11,12,21,24,40,42,50,57,
60,66,82,107,117,132,133,165,204,224,227,248,301,366,376,382,409,542],[1,3,5,
12,14,15,27,34,37,41,51,55,58,85,113,147,166,215,249,265,412,429,454,543],[1,
2,3,4,5,7,9,12,22,23,25,26,28,31,32,36,41,43,45,46,52,56,57,58,60,61,68,70,71,
81,109,118,125,126,131,136,139,148,152,155,163,176,177,179,184,208,221,238,
239,253,270,279,318,384,392,396,421,428,447,450,544],[1,4,7,9,12,16,20,28,36,
43,44,46,68,87,109,126,158,199,253,270,388,428,439,545],[1,2,4,5,6,12,14,21,
22,23,29,30,36,42,47,49,52,53,55,57,58,60,68,70,71,72,88,113,117,121,136,141,
151,152,156,163,164,167,170,173,175,177,223,226,229,245,247,249,274,281,350,
356,363,379,405,414,423,546],[1,2,3,4,5,7,11,12,22,23,25,26,28,31,32,36,38,41,
45,46,52,55,57,62,66,68,70,71,81,107,118,124,126,131,134,136,141,143,148,150,
152,153,155,179,204,207,216,252,266,271,283,318,355,380,394,406,419,420,430,
547],[1,6,7,8,9,13,16,18,43,44,48,65,80,105,123,158,161,181,183,255,303,312,
418,548],[1,3,4,5,6,11,12,19,27,30,31,32,36,38,41,42,45,50,52,54,55,58,68,70,
71,72,92,107,128,130,131,150,151,154,155,164,166,167,171,173,179,184,207,236,
248,252,266,271,308,311,345,355,417,430,435,437,444,549],[1,4,5,6,7,12,14,18,
26,28,30,33,36,42,46,47,49,52,53,55,58,62,68,70,71,72,97,113,126,137,138,143,
148,151,153,156,164,167,168,173,176,182,223,229,245,246,247,249,294,302,350,
357,361,385,405,425,434,550],[1,4,5,6,7,9,12,18,26,28,30,33,42,43,44,46,48,52,
56,58,61,62,70,71,97,109,123,129,138,139,146,148,153,167,168,169,173,176,214,
221,239,251,270,294,296,354,372,426,446,447,551],[1,2,6,11,12,17,21,40,42,50,
57,60,66,75,107,117,165,204,227,248,409,443,552],[1,2,4,8,11,13,23,24,35,38,
39,66,96,102,132,134,135,144,172,201,277,289,373,553],[1,2,3,4,5,7,12,14,22,
23,25,26,28,31,32,36,37,41,46,47,52,53,57,60,62,68,70,71,72,81,113,118,126,
131,136,140,145,148,152,153,163,171,175,179,182,215,223,226,229,245,246,295,
318,344,357,379,400,414,425,432,554],[1,2,3,6,12,14,17,19,21,37,42,49,51,57,
60,93,113,117,157,226,247,265,368,374,423,555],[1,3,6,12,14,15,19,37,41,42,45,
49,51,77,113,130,147,157,162,215,220,247,265,298,370,374,390,429,556],[1,3,5,
8,13,14,15,27,34,51,53,64,69,85,110,115,116,119,159,162,241,276,304,314,359,
557],[1,2,4,5,6,11,12,21,22,23,29,30,36,40,42,50,52,55,57,60,66,71,88,107,117,
141,152,163,164,165,167,170,204,227,248,252,266,281,348,380,403,409,444,558],[
1,2,6,11,12,21,35,40,42,50,57,60,66,91,107,117,165,204,227,248,409,453,559],[
1,2,3,6,7,11,12,18,19,21,25,40,41,42,45,46,50,57,60,62,66,86,107,117,118,124,
125,130,138,145,165,204,216,227,248,271,321,352,367,409,419,437,560],[1,3,6,8,
13,14,15,19,37,49,51,65,77,110,115,119,147,157,162,258,278,298,359,561],[1,4,
5,6,7,11,12,18,26,28,30,33,36,38,42,46,50,52,54,55,58,62,68,70,71,72,97,107,
126,128,137,138,143,148,151,153,164,167,168,173,176,182,207,216,236,248,252,
266,294,302,345,367,387,394,406,444,451,562],[1,5,7,9,12,16,20,33,43,44,46,55,
72,94,109,137,158,199,231,270,388,399,439,563],[1,2,3,4,5,7,11,12,22,25,26,27,
29,32,33,38,40,41,45,46,54,55,58,60,62,68,70,71,72,84,107,122,125,131,137,143,
145,148,150,154,166,168,170,175,177,207,216,227,236,252,271,293,309,348,352,
355,394,401,435,451,564],[1,3,6,12,14,19,34,37,41,42,45,49,51,89,113,130,157,
215,220,247,370,412,565],[1,2,6,7,11,12,17,18,21,40,42,46,50,62,66,90,107,138,
165,216,224,248,367,382,443,566],[1,2,3,4,5,7,12,14,22,25,26,27,29,32,33,37,
41,46,47,52,53,55,57,58,60,62,68,71,72,84,113,118,121,131,137,140,141,143,145,
166,168,170,171,176,177,215,223,226,229,246,249,309,317,344,356,363,385,400,
434,454,567],[1,3,6,12,14,19,34,37,41,42,45,49,51,89,113,120,130,157,159,215,
220,247,287,370,375,568],[1,2,3,6,11,12,17,19,21,40,41,42,45,50,66,93,107,130,
165,224,248,271,382,437,443,569],[1,3,4,5,6,12,14,19,27,30,31,32,36,37,41,42,
45,49,51,55,58,70,92,113,130,150,157,164,166,173,179,184,215,220,245,247,249,
311,370,391,405,432,454,570],[1,2,3,4,5,7,11,12,22,25,26,27,29,32,33,36,41,45,
46,52,54,55,57,58,62,66,71,72,84,107,118,121,124,127,137,141,152,154,166,168,
171,176,182,184,204,216,236,252,266,271,317,319,349,380,387,417,419,435,451,
571],[1,2,3,6,7,12,14,18,19,21,25,37,41,42,45,46,49,51,57,60,62,86,113,117,
118,124,125,130,138,145,157,215,220,226,246,247,321,344,361,370,423,424,572],[
1,2,4,11,12,23,24,35,38,40,57,66,68,70,96,107,132,133,134,135,136,178,204,207,
224,277,286,376,420,433,573],[1,2,3,6,7,9,12,18,19,21,25,41,42,43,44,45,46,48,
57,60,62,86,109,117,118,123,124,125,130,138,145,208,214,238,251,270,321,347,
372,384,404,413,574],[1,5,7,9,12,16,20,33,43,44,58,61,62,71,94,109,129,158,
160,168,180,181,199,239,251,305,306,377,386,426,575],[1,4,7,8,9,13,16,20,28,
39,44,56,87,105,160,161,169,181,183,232,282,320,418,576],[1,2,3,4,5,7,11,12,
22,23,25,26,28,31,32,36,38,40,41,45,46,52,54,58,60,62,68,70,72,81,107,122,125,
126,145,153,155,163,171,175,176,177,179,182,184,207,216,227,236,266,271,279,
295,352,387,401,403,406,417,430,577],[1,8,9,10,11,12,13,14,98,99,100,101,102,
104,105,108,110,111,114,323,326,328,331,334,578],[1,10,12,13,14,99,101,106,
108,113,324,331,333,579],[1,8,10,11,12,98,99,100,103,106,107,322,324,325,328,
580],[1,9,10,12,13,99,103,108,109,111,322,331,335,581],[1,9,10,11,12,14,99,
100,101,103,104,106,111,112,114,322,323,324,327,330,332,582],[1,8,9,10,12,98,
99,106,109,111,112,324,328,330,335,583],[1,8,10,12,14,98,99,101,103,112,113,
322,328,330,333,584],[1,10,11,12,13,99,100,107,108,112,325,330,331,585],[1,9,
10,11,12,14,99,100,101,104,107,109,111,113,114,323,325,329,333,335,586],[1,2,
3,6,7,13,15,16,17,18,19,21,24,25,65,74,75,76,77,79,80,82,86,90,93,95,119,172,
183,185,188,192,194,278,292,312,315,341,587],[1,2,3,7,9,10,11,12,14,25,41,43,
45,46,51,57,60,62,66,100,101,107,109,111,113,114,118,124,125,204,205,208,209,
216,220,226,238,244,246,270,271,329,384,419,424,471,474,483,588],[1,4,5,7,9,
10,11,12,14,26,36,44,46,47,52,54,55,58,62,68,72,100,101,107,109,111,113,114,
143,176,182,216,225,229,231,236,246,249,251,253,262,266,269,329,385,387,408,
478,492,497,589],[1,2,3,7,9,10,11,12,14,25,37,40,41,43,45,46,57,60,62,100,101,
107,109,111,113,114,118,125,145,202,208,215,216,226,227,238,244,246,268,270,
271,329,344,352,384,466,483,506,590],[1,7,9,10,12,20,43,44,46,99,109,111,160,
199,225,270,335,439,465,591],[1,4,5,6,9,10,12,30,36,42,48,55,56,59,61,63,67,
68,72,99,109,111,146,151,164,174,210,213,214,217,230,231,240,250,253,254,259,
335,353,395,411,415,464,498,502,592],[1,4,5,6,9,10,11,12,14,30,36,42,47,48,49,
50,52,53,55,59,68,71,72,100,101,107,109,111,113,114,151,156,164,167,203,214,
217,222,223,229,231,243,247,248,252,253,256,266,269,329,350,393,395,444,481,
492,505,593],[1,4,5,6,9,10,11,12,14,30,36,38,42,47,48,49,50,53,54,55,56,59,61,
63,67,99,100,101,104,111,114,128,146,156,164,174,203,210,211,212,213,217,218,
222,240,243,250,256,259,262,263,269,323,351,393,410,411,415,469,480,495,594],[
1,4,5,7,9,10,11,12,14,26,36,38,44,46,53,55,62,68,70,71,72,100,101,107,109,111,
113,114,143,148,182,207,212,216,223,225,231,243,245,246,251,252,253,329,357,
394,408,478,504,505,595],[1,4,5,6,9,10,11,12,14,30,36,42,48,49,50,52,55,56,58,
59,61,70,71,100,101,107,109,111,113,114,146,164,167,173,203,210,214,217,221,
222,239,245,247,248,249,250,252,256,266,329,354,405,415,444,481,488,499,596],[
1,7,9,10,12,20,43,44,46,99,109,111,180,199,225,270,335,439,465,597],[1,4,5,6,
10,12,13,30,36,39,42,55,59,63,64,65,67,99,108,149,164,174,200,213,233,237,240,
259,331,364,411,463,496,501,598],[1,2,3,7,9,10,11,12,14,25,40,41,44,45,46,51,
57,60,62,100,101,107,109,111,113,114,124,125,145,202,208,209,216,220,225,226,
227,238,246,251,271,329,347,352,424,466,471,478,599],[1,4,5,6,9,10,11,12,14,
30,38,42,47,48,49,50,52,53,54,56,58,59,61,63,67,68,70,71,72,100,101,107,109,
111,113,114,128,146,151,156,167,173,174,203,207,214,217,218,221,222,223,228,
229,230,235,236,239,247,248,254,256,260,263,272,329,345,350,351,353,354,360,
371,472,476,481,600],[1,3,4,5,9,10,11,12,14,32,36,38,41,45,51,55,58,61,68,70,
71,100,101,107,109,111,113,114,131,150,184,207,208,209,212,220,239,245,249,
250,252,253,271,329,355,391,396,471,499,504,601],[1,2,4,10,11,12,23,36,38,40,
52,60,66,67,99,100,107,134,163,205,212,213,224,227,228,266,325,365,403,479,
491,602],[1,2,10,11,12,24,40,57,60,66,99,100,107,132,133,202,204,205,224,227,
325,366,376,467,479,603],[1,5,7,9,10,11,12,14,33,44,46,53,54,55,58,61,62,63,
71,72,100,101,107,109,111,113,114,129,137,168,216,218,223,225,235,236,239,246,
249,250,251,252,254,272,329,426,434,440,451,472,478,499,604],[1,4,5,6,9,10,11,
12,14,30,36,38,42,48,49,50,54,55,58,59,68,70,72,100,101,107,109,111,113,114,
128,151,164,173,203,207,212,214,217,222,231,236,245,247,248,249,253,256,262,
329,345,395,405,410,481,497,504,605],[1,6,7,9,10,11,12,14,18,42,43,44,46,48,
49,50,59,62,100,101,107,109,111,113,114,123,138,203,214,216,217,222,225,244,
246,247,248,251,256,270,329,361,367,372,381,478,481,483,606],[1,2,10,11,12,35,
40,60,66,99,100,107,135,205,224,227,325,453,479,607],[1,3,10,12,14,34,37,41,
51,99,101,113,120,209,215,265,333,412,487,608],[1,2,5,10,11,12,29,40,54,55,60,
63,66,71,99,100,107,127,170,205,224,227,252,259,262,272,325,343,348,479,493,
609],[1,4,5,6,10,11,12,30,36,38,42,50,52,54,55,59,63,67,71,99,100,107,128,164,
167,174,203,212,213,228,240,248,252,259,262,266,272,325,371,410,411,444,486,
491,493,610],[1,3,4,5,10,12,14,32,36,37,45,47,51,53,55,58,63,67,70,99,101,113,
140,150,184,213,220,235,243,245,249,259,260,265,268,269,333,391,422,436,462,
473,503,611],[1,2,4,9,10,11,12,14,23,36,40,47,52,56,57,60,68,70,100,101,107,
109,111,113,114,136,163,202,210,221,226,227,229,238,245,253,266,269,329,379,
403,421,466,488,492,612],[1,4,5,7,9,10,12,26,36,43,44,55,56,61,62,63,67,68,72,
99,109,111,139,143,182,199,210,213,230,231,244,250,251,253,254,259,335,389,
408,431,468,498,502,613],[1,2,4,5,9,10,11,12,14,22,36,47,52,55,57,58,60,61,66,
68,71,100,101,107,109,111,113,114,141,152,177,204,205,226,229,238,239,249,250,
252,253,266,269,329,356,380,392,474,492,499,614],[1,2,5,9,10,11,12,14,29,53,
54,55,57,58,60,61,63,66,71,72,100,101,107,109,111,113,114,121,127,170,204,205,
218,223,226,231,235,236,238,239,249,254,262,272,329,343,346,349,363,472,474,
497,615],[1,2,4,5,9,10,11,12,14,22,36,38,40,53,54,57,58,60,61,63,68,70,71,72,
100,101,107,109,111,113,114,122,152,175,177,202,207,212,218,223,226,227,235,
236,238,239,245,253,254,272,329,392,398,401,414,466,472,504,616],[1,3,6,9,10,
11,12,14,19,37,41,42,45,48,49,50,51,59,100,101,107,109,111,113,114,130,157,
203,208,209,214,215,217,220,222,247,248,256,268,271,329,362,370,413,437,471,
481,506,617],[1,6,7,9,10,12,18,42,43,44,46,48,59,62,99,109,111,123,138,199,
214,217,225,240,244,251,270,335,369,372,381,464,465,468,618],[1,4,5,7,9,10,11,
12,14,26,38,43,46,47,52,55,56,58,61,62,67,68,70,71,100,101,107,109,111,113,
114,139,143,148,176,207,216,221,228,229,230,239,244,246,249,250,252,260,263,
270,329,385,394,431,447,476,483,499,619],[1,3,4,5,9,10,11,12,14,32,36,37,41,
45,47,52,53,54,58,61,63,68,71,72,100,101,107,109,111,113,114,131,140,171,184,
208,215,218,223,229,235,236,239,253,254,266,268,269,271,272,329,396,400,417,
422,472,492,506,620],[1,3,5,10,12,14,27,37,41,51,53,55,58,63,99,101,113,116,
166,209,215,235,243,249,259,265,333,452,454,462,487,621],[1,7,9,10,12,16,43,
44,46,99,109,111,158,199,225,270,335,388,465,622],[1,3,6,10,12,14,19,37,41,42,
45,49,51,59,99,101,113,130,157,209,215,220,222,240,247,265,268,333,362,370,
374,473,487,500,623],[1,2,10,11,12,35,40,60,66,99,100,107,178,205,224,227,325,
453,479,624],[1,2,4,5,9,10,11,12,14,22,36,52,53,55,56,57,60,66,70,71,72,100,
101,107,109,111,113,114,141,152,175,204,205,210,221,223,226,231,238,243,245,
252,266,329,380,402,414,474,488,505,625],[1,4,5,7,9,10,11,12,14,26,36,43,46,
52,53,54,56,58,61,62,63,70,71,72,100,101,107,109,111,113,114,139,148,176,182,
210,216,218,221,223,235,236,239,244,245,246,254,266,270,272,329,357,387,389,
447,472,483,488,626],[1,3,4,5,9,10,11,12,14,32,36,41,45,51,52,54,55,56,58,70,
72,100,101,107,109,111,113,114,150,171,184,208,209,210,220,221,231,236,245,
249,262,266,271,329,378,391,417,471,488,497,627],[1,4,7,9,10,12,28,36,43,44,
46,56,67,68,99,109,111,126,169,199,210,213,225,230,253,270,335,428,449,465,
502,628],[1,4,7,9,10,11,12,14,28,36,38,43,46,47,52,62,68,70,100,101,107,109,
111,113,114,126,153,207,212,216,229,244,245,246,253,266,269,270,329,406,425,
428,483,492,504,629],[1,3,4,9,10,11,12,14,31,36,38,41,45,47,51,52,56,67,68,70,
100,101,107,109,111,113,114,142,155,179,207,208,209,220,221,228,229,230,253,
260,263,266,269,271,329,416,430,438,450,471,476,492,630],[1,3,4,10,12,14,31,
36,37,41,47,51,67,70,99,101,113,142,179,209,213,215,245,260,265,269,333,432,
438,487,503,631],[1,5,7,9,10,11,12,14,33,43,46,53,54,55,58,62,71,72,100,101,
107,109,111,113,114,137,168,216,223,231,236,243,244,246,249,252,262,270,329,
399,434,451,483,497,505,632],[1,4,5,6,10,12,14,30,36,42,47,49,53,55,58,59,63,
67,70,99,101,113,156,164,173,174,213,222,235,240,243,245,247,249,259,260,269,
333,360,393,405,411,462,500,503,633],[1,3,10,12,14,34,37,41,51,99,101,113,159,
209,215,265,333,412,487,634],[1,2,10,11,12,24,40,60,66,99,100,107,133,205,224,
227,325,366,479,635],[1,2,5,9,10,11,12,14,29,40,53,55,57,58,60,61,71,72,100,
101,107,109,111,113,114,121,170,202,223,226,227,231,238,239,243,249,250,252,
329,346,348,363,466,499,505,636],[1,4,5,6,8,9,10,11,13,14,30,38,39,47,48,49,
50,53,54,56,59,61,63,64,65,67,69,98,102,105,108,110,114,128,146,149,156,174,
200,201,206,218,232,233,237,241,242,255,256,257,258,261,263,267,326,351,364,
397,407,427,477,489,490,637],[1,3,5,9,10,11,12,14,27,41,45,51,53,54,55,58,61,
63,71,72,100,101,107,109,111,113,114,116,154,166,208,209,218,220,223,231,235,
236,239,243,252,254,271,272,329,435,441,442,452,471,472,505,638],[1,2,6,10,11,
12,21,40,42,50,57,59,60,66,99,100,107,117,165,202,203,204,205,224,227,240,248,
325,358,382,409,467,479,486,639],[1,2,4,5,9,10,11,12,14,22,38,40,47,52,54,55,
56,57,58,60,67,68,70,72,100,101,107,109,111,113,114,122,141,175,177,202,207,
221,226,227,228,229,230,231,236,238,249,260,262,263,329,356,401,402,448,466,
476,497,640],[1,2,4,9,10,11,12,14,23,36,38,47,52,56,57,60,66,67,68,70,100,101,
107,109,111,113,114,134,136,163,204,205,207,212,221,226,228,229,230,238,245,
253,260,263,329,365,379,420,421,474,476,504,641],[1,2,4,5,10,11,12,22,36,38,
40,52,54,55,57,63,66,67,71,99,100,107,122,141,152,202,204,212,213,224,228,252,
259,262,266,272,325,380,398,448,467,491,493,642],[1,3,4,9,10,11,12,14,31,36,
37,38,41,45,52,56,68,70,100,101,107,109,111,113,114,155,179,207,208,210,212,
215,221,245,253,266,268,271,329,430,432,450,488,504,506,643],[1,2,6,9,10,11,
12,14,21,40,42,48,49,50,57,59,60,66,100,101,107,109,111,113,114,117,165,202,
203,204,205,214,217,222,226,227,238,247,248,256,329,358,404,409,423,466,474,
481,644],[1,7,9,10,12,16,43,44,46,62,99,109,111,158,181,199,225,244,251,270,
335,377,388,465,468,645],[1,3,10,12,14,15,37,41,45,51,99,101,113,147,162,209,
215,220,265,268,333,390,429,473,487,646],[1,2,3,7,9,10,11,12,14,25,37,41,44,
45,46,57,60,62,66,100,101,107,109,111,113,114,118,124,145,204,205,208,215,216,
225,226,238,246,251,268,271,329,344,347,419,474,478,506,647],[1,3,10,12,14,15,
37,41,51,99,101,113,147,209,215,265,333,429,487,648],[1,5,7,9,10,12,33,43,44,
46,55,61,63,72,99,109,111,129,137,199,225,231,250,254,259,270,335,399,440,465,
498,649],[1,3,4,5,9,10,11,12,14,32,37,38,41,45,47,52,53,55,56,67,68,70,71,72,
100,101,107,109,111,113,114,131,140,150,171,207,208,215,221,223,228,229,230,
231,243,252,260,263,268,271,329,355,378,400,436,476,505,506,650],[1,3,5,9,10,
11,12,14,27,37,41,45,54,55,58,61,71,72,100,101,107,109,111,113,114,154,166,
208,215,231,236,239,249,250,252,262,268,271,329,435,442,454,497,499,506,651],[
1,4,7,9,10,11,12,14,28,36,38,44,46,47,52,56,62,67,68,70,100,101,107,109,111,
113,114,126,153,169,207,210,216,221,225,228,229,230,245,246,251,260,263,266,
329,406,425,446,449,476,478,488,652],[1,2,3,4,5,6,7,12,14,18,19,21,22,23,25,
26,27,28,29,30,31,32,33,36,37,41,42,45,46,47,49,51,52,53,55,57,58,60,62,68,70,
71,72,81,84,86,88,92,97,113,116,117,118,121,124,125,126,130,131,136,137,138,
140,141,142,143,145,148,150,151,152,153,154,155,156,157,163,164,166,167,168,
170,171,173,175,176,177,179,182,184,193,215,220,223,226,229,245,246,247,249,
274,279,281,283,293,294,295,299,302,308,309,311,317,318,319,321,344,350,356,
357,361,363,370,379,385,391,400,405,414,416,423,424,425,432,434,441,454,460,
515,530,536,546,550,554,567,570,572,653],[1,2,3,6,7,12,14,18,19,21,25,34,37,
41,42,45,46,49,51,57,60,62,86,89,113,117,118,120,124,125,130,138,145,157,159,
187,215,220,226,246,247,287,321,344,361,370,375,412,423,424,565,568,572,654],[
1,3,4,5,6,12,14,17,19,27,30,31,32,34,37,41,42,45,47,49,51,52,53,68,71,72,76,
89,92,113,116,130,131,140,142,151,154,155,156,157,167,171,190,215,220,223,229,
247,299,308,350,368,370,400,412,416,441,515,534,565,655],[1,4,5,6,7,9,12,17,
18,20,26,28,30,33,42,43,44,46,48,52,56,58,61,62,70,71,73,79,97,109,123,129,
138,139,146,148,153,167,168,169,173,176,197,214,221,239,251,270,294,296,354,
372,383,426,439,446,447,520,526,551,656],[1,2,3,6,7,11,12,18,19,21,25,35,40,
41,42,45,46,50,57,60,62,66,86,91,107,117,118,124,125,130,135,138,145,165,178,
196,204,216,227,248,271,316,321,352,367,409,419,433,437,453,522,559,560,657],[
1,2,3,6,7,12,14,15,17,18,19,21,25,37,41,42,45,46,49,51,57,60,62,74,76,77,86,
93,113,117,118,124,125,130,138,145,147,157,162,192,215,220,226,246,247,265,
298,321,344,361,368,370,374,390,423,424,429,524,534,555,556,572,658],[1,3,4,5,
6,12,14,15,19,27,30,31,32,34,37,41,42,45,47,49,51,52,53,68,71,72,77,78,85,89,
92,113,116,120,130,131,140,142,147,151,154,155,156,157,159,162,167,171,189,
215,220,223,229,247,265,284,287,298,299,304,307,308,310,350,370,374,375,390,
400,416,429,441,461,515,523,531,556,568,659],[1,2,4,5,6,11,12,17,21,22,23,29,
30,35,36,40,42,50,52,55,57,60,66,71,75,88,91,107,117,135,141,152,163,164,165,
167,170,178,195,204,227,248,252,266,281,316,348,380,403,409,433,443,444,522,
552,558,660],[1,2,3,4,5,6,7,11,12,18,19,21,22,23,25,26,27,28,29,30,31,32,33,
36,38,40,41,42,45,46,50,52,54,55,57,58,60,62,66,68,70,71,72,81,84,86,88,92,97,
107,117,118,121,122,124,125,126,127,128,130,131,134,136,137,138,141,143,145,
148,150,151,152,153,154,155,163,164,165,166,167,168,170,171,173,175,176,177,
179,182,184,193,204,207,216,227,236,248,252,266,271,274,279,281,283,291,293,
294,295,302,308,309,311,317,318,319,321,345,348,349,352,355,367,380,387,394,
401,403,406,409,417,419,420,430,435,437,444,451,460,510,547,549,558,560,562,
564,571,577,661],[1,2,4,5,6,8,11,13,21,22,23,24,29,30,35,38,39,40,50,54,64,65,
66,69,82,83,88,91,96,102,122,127,128,132,133,134,135,144,149,165,172,178,191,
201,242,261,277,280,286,288,289,290,291,292,297,301,316,373,427,456,458,525,
535,553,662],[1,2,3,6,7,9,12,16,17,18,19,21,25,41,42,43,44,45,46,48,57,60,62,
74,79,80,86,90,109,117,118,123,124,125,130,138,145,158,181,185,199,208,214,
238,251,270,303,321,347,369,372,377,383,384,388,404,413,516,517,520,521,574,
663],[1,4,5,6,7,8,9,13,16,18,20,26,28,30,33,39,43,44,48,56,61,64,65,69,73,80,
87,94,97,105,123,129,139,146,149,158,160,161,169,180,181,183,186,206,232,255,
273,275,282,296,300,303,305,306,312,313,320,397,418,455,457,532,548,576,664],[
1,2,3,4,5,6,7,9,12,18,19,21,22,23,25,26,27,28,29,30,31,32,33,36,41,42,43,44,
45,46,48,52,55,56,57,58,60,61,62,68,70,71,72,81,84,86,88,92,97,109,117,118,
121,123,124,125,126,129,130,131,136,137,138,139,141,143,145,146,148,150,151,
152,153,154,155,163,164,166,167,168,169,170,171,173,175,176,177,179,182,184,
193,208,214,221,231,238,239,251,253,270,274,279,281,283,293,294,295,296,302,
308,309,311,317,318,319,321,346,347,354,372,378,384,392,395,396,399,402,404,
408,413,421,426,428,442,446,447,450,460,508,527,529,539,540,541,544,551,574,
665],[1,4,5,6,7,9,12,16,18,20,26,28,30,33,42,43,44,46,48,52,56,58,61,62,70,71,
73,80,87,94,97,109,123,129,138,139,146,148,153,158,160,167,168,169,173,176,
180,181,186,199,214,221,239,251,270,294,296,300,303,305,306,313,320,354,369,
372,377,386,388,426,446,447,457,514,521,528,551,575,666],[1,2,3,6,7,9,12,18,
19,20,21,25,41,42,43,44,45,46,48,57,60,62,73,86,109,117,118,123,124,125,130,
138,145,160,180,198,208,214,238,251,270,300,321,347,372,384,386,404,413,439,
526,528,574,667],[1,2,4,5,6,11,12,17,21,22,23,29,30,35,38,40,42,50,54,57,58,
60,66,68,70,72,75,88,91,107,117,121,122,127,128,134,136,151,165,173,175,177,
195,204,207,227,236,248,274,291,345,349,401,409,420,443,453,510,552,559,668],[
1,2,4,5,6,11,12,21,22,23,24,29,30,35,36,40,42,50,52,55,57,60,66,71,82,83,88,
91,96,107,117,132,133,141,152,163,164,165,167,170,191,204,224,227,248,252,266,
281,301,348,366,376,380,382,403,409,444,453,512,519,542,558,559,669],[1,2,4,5,
6,11,12,21,22,23,24,29,30,35,38,40,42,50,54,57,58,60,66,68,70,72,82,83,88,91,
96,107,117,121,122,127,128,132,133,134,135,136,151,165,173,175,177,178,191,
204,207,224,227,236,248,274,277,280,286,291,297,301,316,345,349,366,376,382,
401,409,420,433,456,509,510,522,542,573,670],[1,2,3,6,7,11,12,17,18,19,21,24,
25,40,41,42,45,46,50,57,60,62,66,75,82,86,90,93,107,117,118,124,125,130,132,
133,138,145,165,194,204,216,224,227,248,271,301,321,352,366,367,376,382,409,
419,437,443,542,552,560,566,569,671],[1,3,4,5,6,12,14,17,19,27,30,31,32,34,36,
37,41,42,45,49,51,55,58,70,76,89,92,113,120,130,150,157,159,164,166,173,179,
184,190,215,220,245,247,249,287,311,368,370,375,391,405,432,454,534,568,570,
672],[1,3,4,5,6,8,13,14,15,19,27,30,31,32,34,37,39,47,49,51,53,64,65,69,77,78,
85,89,92,110,115,116,119,120,140,142,147,149,156,157,159,162,189,241,258,267,
276,278,284,285,287,298,299,304,307,310,314,359,407,459,461,513,557,561,673],[
1,3,4,5,6,12,14,15,19,27,30,31,32,34,36,37,41,42,45,49,51,55,58,70,77,78,85,
89,92,113,130,147,150,157,162,164,166,173,179,184,189,215,220,245,247,249,265,
298,311,370,374,390,391,405,412,429,432,454,518,543,556,565,570,674],[1,4,5,6,
7,9,12,17,18,20,26,28,30,33,36,42,43,44,46,48,55,62,68,72,73,79,97,109,123,
126,137,138,143,151,160,164,180,182,197,214,231,251,253,270,300,302,372,383,
386,395,399,408,428,520,528,541,675],[1,4,5,6,7,9,12,16,18,20,26,28,30,33,36,
42,43,44,46,48,55,62,68,72,73,80,87,94,97,109,123,126,137,138,143,151,158,164,
181,182,186,199,214,231,251,253,270,302,303,369,372,377,388,395,399,408,428,
439,521,526,541,545,563,676],[1,5,8,10,11,12,54,55,63,69,71,98,99,100,103,106,
107,219,234,252,257,259,262,272,322,324,325,328,482,484,485,493,580,677],[1,4,
10,11,12,13,36,38,39,52,67,99,100,107,108,112,200,212,213,228,266,325,330,331,
463,491,585,678],[1,4,10,12,13,14,36,39,47,67,70,99,101,106,108,113,200,213,
245,260,269,324,331,333,463,503,579,679],[1,5,9,10,11,12,14,53,54,55,58,61,63,
71,72,99,100,101,104,107,109,111,113,114,218,223,231,235,236,239,243,249,250,
252,254,259,262,272,323,325,329,333,335,462,472,480,493,497,498,499,505,586,
680],[1,5,8,9,10,12,55,61,63,69,72,98,99,106,109,111,112,231,234,250,254,257,
259,264,324,328,330,335,482,484,494,498,583,681],[1,5,9,10,11,12,14,53,54,55,
61,63,99,100,101,103,104,106,111,112,114,218,219,234,243,250,259,262,264,322,
323,324,327,330,332,470,480,482,485,494,582,682],[1,3,9,10,11,12,14,37,41,45,
51,99,100,101,104,107,109,111,113,114,208,209,215,220,265,268,271,323,325,329,
333,335,471,473,487,506,586,683],[1,5,8,10,12,14,53,55,58,63,69,98,99,101,103,
112,113,219,235,243,249,257,259,264,322,328,330,333,462,484,485,494,584,684],[
1,6,10,12,13,14,42,49,59,65,99,101,106,108,113,222,237,240,247,324,331,333,
496,500,579,685],[1,5,10,11,12,13,54,55,63,64,71,99,100,107,108,112,233,252,
259,262,264,272,325,330,331,493,494,501,585,686],[1,4,9,10,12,13,36,39,56,67,
68,99,103,108,109,111,200,210,213,230,253,322,331,335,463,502,581,687],[1,4,8,
9,10,11,12,13,14,36,38,39,47,56,67,98,99,100,101,102,104,105,108,110,111,114,
200,201,210,212,213,232,263,267,269,323,326,328,331,334,463,469,489,578,688],[
1,6,8,9,10,11,12,13,14,42,48,49,50,59,65,98,99,100,101,102,104,105,108,110,
111,114,203,211,217,222,237,240,255,256,258,261,323,326,328,331,334,475,477,
495,496,578,689],[1,6,9,10,12,13,42,48,59,65,99,103,108,109,111,214,217,237,
240,322,331,335,464,496,581,690],[1,7,9,10,11,12,14,43,44,46,62,99,100,101,
104,107,109,111,113,114,199,216,225,244,246,251,270,323,325,329,333,335,465,
468,478,483,586,691],[1,2,9,10,11,12,14,40,57,60,66,99,100,101,104,107,109,
111,113,114,202,204,205,224,226,227,238,323,325,329,333,335,466,467,474,479,
586,692],[1,5,9,10,12,13,55,61,63,64,72,99,103,108,109,111,219,231,233,250,
254,259,322,331,335,485,498,501,581,693],[1,5,8,9,10,11,12,13,14,53,54,55,61,
63,64,69,98,99,100,101,102,104,105,108,110,111,114,206,218,233,241,242,243,
250,257,259,262,323,326,328,331,334,480,484,490,501,578,694],[1,6,9,10,11,12,
14,42,48,49,50,59,99,100,101,104,107,109,111,113,114,203,211,214,217,222,240,
247,248,256,323,325,329,333,335,464,481,486,495,500,586,695],[1,4,9,10,11,12,
14,36,38,47,52,56,67,68,70,99,100,101,104,107,109,111,113,114,207,210,212,213,
221,228,229,230,245,253,260,263,266,269,323,325,329,333,335,469,476,488,491,
492,502,503,504,586,696],[1,5,10,12,13,14,53,55,58,63,64,99,101,106,108,113,
233,234,235,243,249,259,324,331,333,462,482,501,579,697],[1,6,10,11,12,13,42,
50,59,65,99,100,107,108,112,203,237,240,248,325,330,331,486,496,585,698],[1,2,
3,4,5,6,7,13,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
39,64,65,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,
96,97,119,149,172,183,185,186,187,188,189,190,191,192,193,194,195,196,197,198,
275,276,278,282,285,289,290,292,312,315,336,337,338,339,340,341,342,455,458,
459,507,587,699],[1,2,3,4,5,7,9,10,11,12,14,22,23,25,26,28,31,32,36,37,38,40,
41,43,45,46,47,52,53,54,56,57,58,60,61,62,63,68,70,71,72,81,100,101,107,109,
111,113,114,118,122,125,126,131,136,139,140,145,148,152,153,155,163,171,175,
176,177,179,182,184,202,207,208,210,212,215,216,218,221,223,226,227,229,235,
236,238,239,244,245,246,253,254,266,268,269,270,271,272,279,295,318,329,344,
352,357,379,384,387,389,392,396,398,400,401,403,406,414,417,421,422,425,428,
430,432,447,450,466,472,483,488,492,504,506,544,554,577,590,612,616,620,626,
629,643,700],[1,2,4,5,6,9,10,11,12,14,21,22,23,29,30,36,40,42,47,48,49,50,52,
53,55,56,57,58,59,60,61,66,68,70,71,72,88,100,101,107,109,111,113,114,117,121,
136,141,146,151,152,156,163,164,165,167,170,173,175,177,202,203,204,205,210,
214,217,221,222,223,226,227,229,231,238,239,243,245,247,248,249,250,252,253,
256,266,269,274,281,329,346,348,350,354,356,358,363,379,380,392,393,395,402,
403,404,405,409,414,415,421,423,444,466,474,481,488,492,499,505,508,546,558,
593,596,612,614,625,636,644,701],[1,5,7,9,10,12,16,20,33,43,44,46,55,61,63,72,
94,99,109,111,129,137,158,160,199,225,231,250,254,259,270,305,335,388,399,439,
440,465,498,563,591,622,649,702],[1,4,5,6,7,9,10,11,12,14,18,26,28,30,33,36,
38,42,43,44,46,47,48,49,50,52,53,54,55,56,58,59,61,62,63,67,68,70,71,72,97,
100,101,107,109,111,113,114,123,126,128,129,137,138,139,143,146,148,151,153,
156,164,167,168,169,173,174,176,182,203,207,210,214,216,217,218,221,222,223,
225,228,229,230,235,236,239,244,245,246,247,248,249,250,251,252,254,256,260,
263,266,270,272,294,296,302,329,345,350,351,353,354,357,360,361,367,371,372,
381,385,387,389,394,405,406,415,425,426,431,434,440,444,446,447,449,451,472,
476,478,481,483,488,499,538,550,551,562,596,600,604,606,619,626,652,703],[1,3,
6,10,12,14,15,19,37,41,42,45,49,51,59,77,99,101,113,130,147,157,162,209,215,
220,222,240,247,265,268,298,333,362,370,374,390,429,473,487,500,556,623,646,
648,704],[1,4,7,9,10,12,16,20,28,36,43,44,46,56,67,68,87,99,109,111,126,158,
169,180,199,210,213,225,230,253,270,313,335,388,428,439,449,465,502,545,597,
622,628,705],[1,2,3,4,5,7,9,10,11,12,14,22,25,26,27,29,32,33,36,37,41,44,45,
46,47,52,53,54,55,57,58,60,61,62,63,66,68,71,72,84,100,101,107,109,111,113,
114,118,121,124,127,129,131,137,140,141,143,145,152,154,166,168,170,171,176,
177,182,184,204,205,208,215,216,218,223,225,226,229,231,235,236,238,239,246,
249,250,251,252,253,254,262,266,268,269,271,272,309,317,319,329,343,344,346,
347,349,356,363,380,385,387,392,396,400,408,417,419,422,426,434,435,440,442,
451,454,472,474,478,492,497,499,506,527,567,571,589,604,614,615,620,647,651,
706],[1,2,3,4,5,7,9,10,11,12,14,22,25,26,27,29,32,33,37,38,40,41,43,45,46,47,
52,53,54,55,56,57,58,60,61,62,67,68,70,71,72,84,100,101,107,109,111,113,114,
118,121,122,125,131,137,139,140,141,143,145,148,150,154,166,168,170,171,175,
176,177,202,207,208,215,216,221,223,226,227,228,229,230,231,236,238,239,243,
244,246,249,250,252,260,262,263,268,270,271,293,309,317,329,344,346,348,352,
355,356,363,378,384,385,394,399,400,401,402,431,434,435,436,442,447,448,451,
454,466,476,483,497,499,505,506,529,564,567,590,619,632,636,640,650,651,707],[
1,2,5,10,11,12,24,29,35,40,54,55,57,60,63,66,71,83,99,100,107,127,132,133,170,
178,202,204,205,224,227,252,259,262,272,297,325,343,348,366,376,453,467,479,
493,519,603,609,624,708],[1,6,7,9,10,12,16,18,42,43,44,46,48,59,62,80,99,109,
111,123,138,158,181,199,214,217,225,240,244,251,270,303,335,369,372,377,381,
388,464,465,468,521,618,622,645,709],[1,2,4,5,6,10,11,12,21,22,23,29,30,36,38,
40,42,50,52,54,55,57,59,60,63,66,67,71,88,99,100,107,117,122,127,128,134,141,
152,163,164,165,167,170,174,202,203,204,205,212,213,224,227,228,240,248,252,
259,262,266,272,281,291,325,343,348,358,365,371,380,382,398,403,409,410,411,
444,448,467,479,486,491,493,533,558,602,609,610,639,642,710],[1,2,6,10,11,12,
21,35,40,42,50,57,59,60,66,91,99,100,107,117,135,165,178,202,203,204,205,224,
227,240,248,316,325,358,382,409,453,467,479,486,559,607,624,639,711],[1,4,5,6,
7,9,10,11,12,14,18,26,28,30,33,36,38,42,43,44,46,47,48,49,50,52,53,54,55,58,
59,62,68,70,71,72,97,100,101,107,109,111,113,114,123,126,128,137,138,143,148,
151,153,156,164,167,168,173,176,182,203,207,212,214,216,217,222,223,225,229,
231,236,243,244,245,246,247,248,249,251,252,253,256,262,266,269,270,294,302,
329,345,350,357,361,367,372,381,385,387,393,394,395,399,405,406,408,410,425,
428,434,444,451,478,481,483,492,497,504,505,541,550,562,589,593,595,605,606,
629,632,712],[1,4,5,6,7,9,10,12,18,26,28,30,33,36,42,43,44,46,48,55,56,59,61,
62,63,67,68,72,97,99,109,111,123,126,129,137,138,139,143,146,151,164,169,174,
182,199,210,213,214,217,225,230,231,240,244,250,251,253,254,259,270,296,302,
335,353,369,372,381,389,395,399,408,411,415,428,431,440,449,464,465,468,498,
502,538,541,592,613,618,628,649,713],[1,2,4,5,6,9,10,11,12,14,21,22,23,29,30,
36,38,40,42,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,66,67,68,70,71,72,88,
100,101,107,109,111,113,114,117,121,122,127,128,134,136,141,146,151,152,156,
163,164,165,167,170,173,174,175,177,202,203,204,205,207,212,214,217,218,221,
222,223,226,227,228,229,230,231,235,236,238,239,245,247,248,249,253,254,256,
260,262,263,272,274,281,291,329,343,345,346,349,350,351,353,354,356,358,360,
363,365,371,379,392,395,398,401,402,404,405,409,410,414,420,421,423,448,466,
472,474,476,481,497,504,508,510,533,546,600,605,615,616,640,641,644,714],[1,2,
6,10,11,12,21,24,40,42,50,57,59,60,66,82,99,100,107,117,132,133,165,202,203,
204,205,224,227,240,248,301,325,358,366,376,382,409,467,479,486,542,603,635,
639,715],[1,5,7,9,10,12,16,20,33,43,44,46,55,61,62,63,72,94,99,109,111,129,
137,158,180,181,199,225,231,244,250,251,254,259,270,306,335,377,388,399,439,
440,465,468,498,563,597,645,649,716],[1,3,4,10,12,14,15,31,34,36,37,41,47,51,
67,70,78,99,101,113,142,147,159,179,209,213,215,245,260,265,269,284,333,412,
429,432,438,487,503,518,631,634,648,717],[1,2,3,4,5,7,9,10,11,12,14,22,25,26,
27,29,32,33,36,38,40,41,44,45,46,51,53,54,55,57,58,60,61,62,63,68,70,71,72,84,
100,101,107,109,111,113,114,116,121,122,124,125,129,131,137,143,145,148,150,
152,154,166,168,170,175,177,182,184,202,207,208,209,212,216,218,220,223,225,
226,227,231,235,236,238,239,243,245,246,249,250,251,252,253,254,271,272,293,
309,319,329,346,347,348,352,355,357,363,391,392,394,396,398,401,408,414,424,
426,434,435,440,441,442,451,452,466,471,472,478,499,504,505,527,536,564,595,
599,601,604,616,636,638,718],[1,2,3,4,5,7,9,10,11,12,14,22,23,25,26,28,31,32,
36,38,40,41,44,45,46,47,51,52,54,55,56,57,58,60,62,67,68,70,72,81,100,101,107,
109,111,113,114,122,124,125,126,136,141,142,143,145,150,153,155,163,169,171,
175,176,177,179,182,184,202,207,208,209,210,216,220,221,225,226,227,228,229,
230,231,236,238,245,246,249,251,253,260,262,263,266,269,271,279,283,295,329,
347,352,356,378,379,385,387,391,401,402,403,406,408,416,417,421,424,425,430,
438,446,448,449,450,466,471,476,478,488,492,497,530,540,577,589,599,612,627,
630,640,652,719],[1,2,3,4,5,7,9,10,11,12,14,22,23,25,26,28,31,32,36,37,38,41,
44,45,46,47,52,53,55,56,57,60,62,66,67,68,70,71,72,81,100,101,107,109,111,113,
114,118,124,126,131,134,136,140,141,143,145,148,150,152,153,155,163,169,171,
175,179,182,204,205,207,208,210,212,215,216,221,223,225,226,228,229,230,231,
238,243,245,246,251,252,253,260,263,266,268,271,283,295,318,329,344,347,355,
357,365,378,379,380,394,400,402,406,408,414,419,420,421,425,430,432,436,446,
449,450,474,476,478,488,504,505,506,540,547,554,595,625,641,643,647,650,652,
720],[1,3,6,10,12,14,19,34,37,41,42,45,49,51,59,89,99,101,113,120,130,157,159,
209,215,220,222,240,247,265,268,287,333,362,370,374,412,473,487,500,565,608,
623,634,721],[1,2,3,4,5,7,9,10,11,12,14,22,23,25,26,28,31,32,36,38,41,43,45,
46,47,51,52,55,56,57,58,60,61,62,66,67,68,70,71,81,100,101,107,109,111,113,
114,118,124,125,126,131,134,136,139,141,142,143,148,150,152,153,155,163,176,
177,179,184,204,205,207,208,209,212,216,220,221,226,228,229,230,238,239,244,
245,246,249,250,252,253,260,263,266,269,270,271,279,283,318,329,355,356,365,
379,380,384,385,391,392,394,396,406,416,419,420,421,424,425,428,430,431,438,
447,450,471,474,476,483,492,499,504,530,544,547,588,601,614,619,629,630,641,
722],[1,2,3,6,7,9,10,11,12,14,18,19,21,25,37,40,41,42,43,44,45,46,48,49,50,51,
57,59,60,62,66,86,100,101,107,109,111,113,114,117,118,123,124,125,130,138,145,
157,165,202,203,204,205,208,209,214,215,216,217,220,222,225,226,227,238,244,
246,247,248,251,256,268,270,271,321,329,344,347,352,358,361,362,367,370,372,
381,384,404,409,413,419,423,424,437,466,471,474,478,481,483,506,560,572,574,
588,590,599,606,617,644,647,723],[1,3,5,10,12,14,15,27,34,37,41,51,53,55,58,
63,85,99,101,113,116,120,147,166,209,215,235,243,249,259,265,307,333,412,429,
452,454,462,487,543,608,621,648,724],[1,2,4,10,11,12,23,24,35,36,38,40,52,60,
66,67,96,99,100,107,133,134,163,178,205,212,213,224,227,228,266,286,325,365,
366,403,453,479,491,512,602,624,635,725],[1,2,5,10,11,12,24,29,35,40,54,55,60,
63,66,71,83,99,100,107,127,133,135,170,205,224,227,252,259,262,272,280,325,
343,348,366,453,479,493,519,607,609,635,726],[1,6,8,10,13,17,59,65,95,98,104,
108,211,237,315,334,445,475,511,727],[1,3,4,5,6,10,12,14,19,27,30,31,32,36,37,
41,42,45,47,49,51,53,55,58,59,63,67,70,92,99,101,113,116,130,140,142,150,156,
157,164,166,173,174,179,184,209,213,215,220,222,235,240,243,245,247,249,259,
260,265,268,269,299,311,333,360,362,370,374,391,393,405,411,422,432,436,438,
452,454,462,473,487,500,503,537,570,611,621,623,631,633,728],[1,2,3,4,5,7,9,
10,11,12,14,22,25,26,27,29,32,33,36,41,43,45,46,51,52,53,54,55,56,57,58,60,61,
62,63,66,70,71,72,84,100,101,107,109,111,113,114,116,118,121,124,125,127,137,
139,141,148,150,152,154,166,168,170,171,175,176,182,184,204,205,208,209,210,
216,218,220,221,223,226,231,235,236,238,239,243,244,245,246,249,252,254,262,
266,270,271,272,293,317,319,329,343,346,349,357,363,378,380,384,387,389,391,
399,402,414,417,419,424,434,435,441,442,447,451,452,471,472,474,483,488,497,
505,529,536,571,588,615,625,626,627,632,638,729],[1,6,7,9,10,12,18,20,42,43,
44,46,48,59,62,73,99,109,111,123,138,160,180,199,214,217,225,240,244,251,270,
300,335,369,372,381,439,464,465,468,526,591,597,618,730],[1,3,4,10,12,14,15,
31,34,36,37,41,45,47,51,67,70,78,99,101,113,120,142,147,162,179,209,213,215,
220,245,260,265,268,269,310,333,390,412,429,432,438,473,487,503,518,608,631,
646,731],[1,3,5,10,12,14,15,27,34,37,41,45,51,53,55,58,63,85,99,101,113,116,
147,159,162,166,209,215,220,235,243,249,259,265,268,304,333,390,412,429,452,
454,462,473,487,543,621,634,646,732],[1,2,4,10,11,12,23,24,35,36,38,40,52,57,
60,66,67,96,99,100,107,132,133,134,135,163,202,204,205,212,213,224,227,228,
266,277,325,365,366,376,403,453,467,479,491,512,602,603,607,733],[1,4,7,9,10,
12,16,20,28,36,43,44,46,56,62,67,68,87,99,109,111,126,158,160,169,181,199,210,
213,225,230,244,251,253,270,320,335,377,388,428,439,449,465,468,502,545,591,
628,645,734],[1,3,4,5,6,9,10,11,12,14,19,27,30,31,32,36,37,38,41,42,45,48,49,
50,51,52,54,55,56,58,59,61,68,70,71,72,92,100,101,107,109,111,113,114,128,130,
131,146,150,151,154,155,157,164,166,167,171,173,179,184,203,207,208,209,210,
212,214,215,217,220,221,222,231,236,239,245,247,248,249,250,252,253,256,262,
266,268,271,308,311,329,345,354,355,362,370,378,391,395,396,405,410,413,415,
417,430,432,435,437,442,444,450,454,471,481,488,497,499,504,506,539,549,570,
596,601,605,617,627,643,651,735],[1,3,4,5,6,9,10,11,12,14,19,27,30,31,32,36,
37,38,41,42,45,47,48,49,50,51,52,53,54,55,56,58,59,61,63,67,68,70,71,72,92,
100,101,107,109,111,113,114,116,128,130,131,140,142,146,150,151,154,155,156,
157,164,166,167,171,173,174,179,184,203,207,208,209,214,215,217,218,220,221,
222,223,228,229,230,231,235,236,239,243,247,248,252,253,254,256,260,263,266,
268,269,271,272,299,308,311,329,345,350,351,353,354,355,360,362,370,371,378,
393,395,396,400,413,416,417,422,430,435,436,437,438,441,442,444,450,452,471,
472,476,481,492,505,506,515,537,539,549,593,600,617,620,630,638,650,736],[1,8,
9,10,11,12,13,14,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,322,323,324,325,326,327,328,329,330,331,332,333,334,335,578,579,580,
581,582,583,584,585,586,737],[1,2,3,4,5,6,7,11,12,17,18,19,21,22,23,24,25,26,
27,28,29,30,31,32,33,35,36,38,40,41,42,45,46,50,52,54,55,57,58,60,62,66,68,70,
71,72,75,81,82,83,84,86,88,90,91,92,93,96,97,107,117,118,121,122,124,125,126,
127,128,130,131,132,133,134,135,136,137,138,141,143,145,148,150,151,152,153,
154,155,163,164,165,166,167,168,170,171,173,175,176,177,178,179,182,184,191,
193,194,195,196,204,207,216,224,227,236,248,252,266,271,274,277,279,280,281,
283,286,291,293,294,295,297,301,302,308,309,311,316,317,318,319,321,339,345,
348,349,352,355,366,367,376,380,382,387,394,401,403,406,409,417,419,420,430,
433,435,437,443,444,451,453,456,460,509,510,512,519,522,542,547,549,552,558,
559,560,562,564,566,569,571,573,577,657,660,661,668,669,670,671,738],[1,2,3,4,
5,6,7,9,12,16,17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,36,41,42,43,44,
45,46,48,52,55,56,57,58,60,61,62,68,70,71,72,73,74,79,80,81,84,86,87,88,90,92,
94,97,109,117,118,121,123,124,125,126,129,130,131,136,137,138,139,141,143,145,
146,148,150,151,152,153,154,155,158,160,163,164,166,167,168,169,170,171,173,
175,176,177,179,180,181,182,184,185,186,193,197,198,199,208,214,221,231,238,
239,251,253,270,274,279,281,283,293,294,295,296,300,302,303,305,306,308,309,
311,313,317,318,319,320,321,342,346,347,354,369,372,377,378,383,384,386,388,
392,395,396,399,402,404,408,413,421,426,428,439,442,446,447,450,457,460,508,
514,516,517,520,521,526,527,528,529,539,540,541,544,545,551,563,574,575,656,
663,665,666,667,675,676,739],[1,2,3,4,5,6,7,12,14,15,17,18,19,21,22,23,25,26,
27,28,29,30,31,32,33,34,36,37,41,42,45,46,47,49,51,52,53,55,57,58,60,62,68,70,
71,72,74,76,77,78,81,84,85,86,88,89,92,93,97,113,116,117,118,120,121,124,125,
126,130,131,136,137,138,140,141,142,143,145,147,148,150,151,152,153,154,155,
156,157,159,162,163,164,166,167,168,170,171,173,175,176,177,179,182,184,187,
189,190,192,193,215,220,223,226,229,245,246,247,249,265,274,279,281,283,284,
287,293,294,295,298,299,302,304,307,308,309,310,311,317,318,319,321,340,344,
350,356,357,361,363,368,370,374,375,379,385,390,391,400,405,412,414,416,423,
424,425,429,432,434,441,454,460,461,515,518,523,524,530,531,534,536,543,546,
550,554,555,556,565,567,568,570,572,653,654,655,658,659,672,674,740],[1,7,9,
10,11,12,14,20,43,44,46,62,99,100,101,104,107,109,111,113,114,160,180,199,216,
225,244,246,251,270,323,325,329,333,335,386,439,465,468,478,483,586,591,597,
691,741],[1,3,4,5,9,10,11,12,14,32,36,37,38,41,45,47,51,52,53,54,55,56,58,61,
63,67,68,70,71,72,99,100,101,104,107,109,111,113,114,131,140,150,171,184,207,
208,209,210,212,213,215,218,220,221,223,228,229,230,231,235,236,239,243,245,
249,250,252,253,254,259,260,262,263,265,266,268,269,271,272,323,325,329,333,
335,355,378,391,396,400,417,422,436,462,469,471,472,473,476,480,487,488,491,
492,493,497,498,499,502,503,504,505,506,586,601,611,620,627,650,680,683,696,
742],[1,4,7,9,10,11,12,14,28,36,38,43,44,46,47,52,56,62,67,68,70,99,100,101,
104,107,109,111,113,114,126,153,169,199,207,210,212,213,216,221,225,228,229,
230,244,245,246,251,253,260,263,266,269,270,323,325,329,333,335,406,425,428,
446,449,465,468,469,476,478,483,488,491,492,502,503,504,586,628,629,652,691,
696,743],[1,2,3,7,9,10,11,12,14,25,37,40,41,43,44,45,46,51,57,60,62,66,99,100,
101,104,107,109,111,113,114,118,124,125,145,199,202,204,205,208,209,215,216,
220,224,225,226,227,238,244,246,251,265,268,270,271,323,325,329,333,335,344,
347,352,384,419,424,465,466,467,468,471,473,474,478,479,483,487,506,586,588,
590,599,647,683,691,692,744],[1,7,8,9,10,12,16,43,44,46,98,99,106,109,111,112,
158,161,199,225,270,324,328,330,335,388,465,583,622,745],[1,6,7,9,10,11,12,14,
18,42,43,44,46,48,49,50,59,62,99,100,101,104,107,109,111,113,114,123,138,199,
203,211,214,216,217,222,225,240,244,246,247,248,251,256,270,323,325,329,333,
335,361,367,369,372,381,464,465,468,478,481,483,486,495,500,586,606,618,691,
695,746],[1,2,9,10,11,12,14,24,40,57,60,66,99,100,101,104,107,109,111,113,114,
132,133,202,204,205,224,226,227,238,323,325,329,333,335,366,376,466,467,474,
479,586,603,635,692,747],[1,2,4,5,9,10,11,12,14,22,36,38,40,47,52,53,54,55,56,
57,58,60,61,63,66,67,68,70,71,72,99,100,101,104,107,109,111,113,114,122,141,
152,175,177,202,204,205,207,210,212,213,218,221,223,224,226,227,228,229,230,
231,235,236,238,239,243,245,249,250,252,253,254,259,260,262,263,266,269,272,
323,325,329,333,335,356,380,392,398,401,402,414,448,462,466,467,469,472,474,
476,479,480,488,491,492,493,497,498,499,502,503,504,505,586,614,616,625,640,
642,680,692,696,748],[1,5,7,9,10,11,12,14,33,43,44,46,53,54,55,58,61,62,63,71,
72,99,100,101,104,107,109,111,113,114,129,137,168,199,216,218,223,225,231,235,
236,239,243,244,246,249,250,251,252,254,259,262,270,272,323,325,329,333,335,
399,426,434,440,451,462,465,468,472,478,480,483,493,497,498,499,505,586,604,
632,649,680,691,749],[1,3,9,10,11,12,14,15,37,41,45,51,99,100,101,104,107,109,
111,113,114,147,162,208,209,215,220,265,268,271,323,325,329,333,335,390,429,
471,473,487,506,586,646,648,683,750],[1,4,5,6,9,10,12,13,30,36,39,42,48,55,56,
59,61,63,64,65,67,68,72,99,103,108,109,111,146,149,151,164,174,200,210,213,
214,217,219,230,231,233,237,240,250,253,254,259,322,331,335,353,364,395,411,
415,463,464,485,496,498,501,502,581,592,598,687,690,693,751],[1,2,5,9,10,11,
12,14,29,40,53,54,55,57,58,60,61,63,66,71,72,99,100,101,104,107,109,111,113,
114,121,127,170,202,204,205,218,223,224,226,227,231,235,236,238,239,243,249,
250,252,254,259,262,272,323,325,329,333,335,343,346,348,349,363,462,466,467,
472,474,479,480,493,497,498,499,505,586,609,615,636,680,692,752],[1,3,4,9,10,
11,12,14,31,36,37,38,41,45,47,51,52,56,67,68,70,99,100,101,104,107,109,111,
113,114,142,155,179,207,208,209,210,212,213,215,220,221,228,229,230,245,253,
260,263,265,266,268,269,271,323,325,329,333,335,416,430,432,438,450,469,471,
473,476,487,488,491,492,502,503,504,506,586,630,631,643,683,696,753],[1,3,8,
10,12,14,15,37,41,51,98,99,101,103,112,113,115,147,209,215,265,322,328,330,
333,429,487,584,648,754],[1,2,6,9,10,11,12,14,21,40,42,48,49,50,57,59,60,66,
99,100,101,104,107,109,111,113,114,117,165,202,203,204,205,211,214,217,222,
224,226,227,238,240,247,248,256,323,325,329,333,335,358,382,404,409,423,464,
466,467,474,479,481,486,495,500,586,639,644,692,695,755],[1,2,10,11,12,13,24,
40,60,66,99,100,107,108,112,133,172,205,224,227,325,330,331,366,479,585,635,
756],[1,4,5,6,9,10,11,12,14,30,36,38,42,47,48,49,50,52,53,54,55,56,58,59,61,
63,67,68,70,71,72,99,100,101,104,107,109,111,113,114,128,146,151,156,164,167,
173,174,203,207,210,211,212,213,214,217,218,221,222,223,228,229,230,231,235,
236,239,240,243,245,247,248,249,250,252,253,254,256,259,260,262,263,266,269,
272,323,325,329,333,335,345,350,351,353,354,360,371,393,395,405,410,411,415,
444,462,464,469,472,476,480,481,486,488,491,492,493,495,497,498,499,500,502,
503,504,505,586,592,593,594,596,600,605,610,633,680,695,696,757],[1,3,5,9,10,
11,12,14,27,37,41,45,51,53,54,55,58,61,63,71,72,99,100,101,104,107,109,111,
113,114,116,154,166,208,209,215,218,220,223,231,235,236,239,243,249,250,252,
254,259,262,265,268,271,272,323,325,329,333,335,435,441,442,452,454,462,471,
472,473,480,487,493,497,498,499,505,506,586,621,638,651,680,683,758],[1,4,5,6,
10,12,13,14,30,36,39,42,47,49,53,55,58,59,63,64,65,67,70,99,101,106,108,113,
149,156,164,173,174,200,213,222,233,234,235,237,240,243,245,247,249,259,260,
269,324,331,333,360,364,393,405,411,462,463,482,496,500,501,503,579,598,633,
679,685,697,759],[1,2,4,9,10,11,12,14,23,36,38,40,47,52,56,57,60,66,67,68,70,
99,100,101,104,107,109,111,113,114,134,136,163,202,204,205,207,210,212,213,
221,224,226,227,228,229,230,238,245,253,260,263,266,269,323,325,329,333,335,
365,379,403,420,421,466,467,469,474,476,479,488,491,492,502,503,504,586,602,
612,641,692,696,760],[1,3,6,9,10,11,12,14,19,37,41,42,45,48,49,50,51,59,99,
100,101,104,107,109,111,113,114,130,157,203,208,209,211,214,215,217,220,222,
240,247,248,256,265,268,271,323,325,329,333,335,362,370,374,413,437,464,471,
473,481,486,487,495,500,506,586,617,623,683,695,761],[1,7,9,10,11,12,14,16,43,
44,46,62,99,100,101,104,107,109,111,113,114,158,181,199,216,225,244,246,251,
270,323,325,329,333,335,377,388,465,468,478,483,586,622,645,691,762],[1,2,9,
10,11,12,14,35,40,57,60,66,99,100,101,104,107,109,111,113,114,135,178,202,204,
205,224,226,227,238,323,325,329,333,335,433,453,466,467,474,479,586,607,624,
692,763],[1,4,5,6,8,9,10,11,12,13,14,30,36,38,39,42,47,48,49,50,53,54,55,56,
59,61,63,64,65,67,69,98,99,100,101,102,104,105,108,110,111,114,128,146,149,
156,164,174,200,201,203,206,210,211,212,213,217,218,222,232,233,237,240,241,
242,243,250,255,256,257,258,259,261,262,263,267,269,323,326,328,331,334,351,
364,393,397,407,410,411,415,427,463,469,475,477,480,484,489,490,495,496,501,
578,594,598,637,688,689,694,764],[1,4,5,7,9,10,11,12,14,26,36,38,43,44,46,47,
52,53,54,55,56,58,61,62,63,67,68,70,71,72,99,100,101,104,107,109,111,113,114,
139,143,148,176,182,199,207,210,212,213,216,218,221,223,225,228,229,230,231,
235,236,239,243,244,245,246,249,250,251,252,253,254,259,260,262,263,266,269,
270,272,323,325,329,333,335,357,385,387,389,394,408,431,447,462,465,468,469,
472,476,478,480,483,488,491,492,493,497,498,499,502,503,504,505,586,589,595,
613,619,626,680,691,696,765],[1,7,9,10,12,13,16,43,44,46,99,103,108,109,111,
158,183,199,225,270,322,331,335,388,465,581,622,766],[1,3,9,10,11,12,14,34,37,
41,45,51,99,100,101,104,107,109,111,113,114,120,159,208,209,215,220,265,268,
271,323,325,329,333,335,375,412,471,473,487,506,586,608,634,683,767],[1,3,10,
12,13,14,15,37,41,51,99,101,106,108,113,119,147,209,215,265,324,331,333,429,
487,579,648,768],[1,6,9,10,11,12,14,17,42,48,49,50,59,99,100,101,104,107,109,
111,113,114,203,211,214,217,222,240,247,248,256,323,325,329,333,335,368,383,
443,445,464,481,486,495,500,586,695,769],[1,2,8,10,11,12,24,40,60,66,98,99,
100,103,106,107,133,144,205,224,227,322,324,325,328,366,479,580,635,770],[1,4,
5,6,10,11,12,13,30,36,38,39,42,50,52,54,55,59,63,64,65,67,71,99,100,107,108,
112,128,149,164,167,174,200,203,212,213,228,233,237,240,248,252,259,262,264,
266,272,325,330,331,364,371,410,411,444,463,486,491,493,494,496,501,585,598,
610,678,686,698,771],[1,2,3,4,5,6,7,9,10,11,12,14,18,19,21,22,23,25,26,27,28,
29,30,31,32,33,36,37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,59,60,61,62,63,66,67,68,70,71,72,81,84,86,88,92,97,100,101,107,109,111,113,
114,116,117,118,121,122,123,124,125,126,127,128,129,130,131,134,136,137,138,
139,140,141,142,143,145,146,148,150,151,152,153,154,155,156,157,163,164,165,
166,167,168,169,170,171,173,174,175,176,177,179,182,184,193,202,203,204,205,
207,208,209,210,212,214,215,216,217,218,220,221,222,223,225,226,227,228,229,
230,231,235,236,238,239,243,244,245,246,247,248,249,250,251,252,253,254,256,
260,262,263,266,268,269,270,271,272,274,279,281,283,291,293,294,295,296,299,
302,308,309,311,317,318,319,321,329,343,344,345,346,347,348,349,350,351,352,
353,354,355,356,357,358,360,361,362,363,365,367,370,371,372,378,379,380,381,
384,385,387,389,391,392,393,394,395,396,398,399,400,401,402,403,404,405,406,
408,409,410,413,414,415,416,417,419,420,421,422,423,424,425,426,428,430,431,
432,434,435,436,437,438,440,441,442,444,446,447,448,449,450,451,452,454,460,
466,471,472,474,476,478,481,483,488,492,497,499,504,505,506,508,510,515,527,
529,530,533,536,537,538,539,540,541,544,546,547,549,550,551,554,558,560,562,
564,567,570,571,572,574,577,588,589,590,593,595,596,599,600,601,604,605,606,
612,614,615,616,617,619,620,625,626,627,629,630,632,636,638,640,641,643,644,
647,650,651,652,653,661,665,700,701,703,706,707,712,714,718,719,720,722,723,
729,735,736,772],[1,4,5,6,7,9,10,12,16,18,20,26,28,30,33,36,42,43,44,46,48,55,
56,59,61,62,63,67,68,72,73,80,87,94,97,99,109,111,123,126,129,137,138,139,143,
146,151,158,160,164,169,174,180,181,182,186,199,210,213,214,217,225,230,231,
240,244,250,251,253,254,259,270,296,300,302,303,305,306,313,320,335,353,369,
372,377,381,388,389,395,399,408,411,415,428,431,439,440,449,457,464,465,468,
498,502,521,526,538,541,545,563,591,592,597,613,618,622,628,645,649,676,702,
705,709,713,716,730,734,773],[1,2,4,5,6,10,11,12,21,22,23,24,29,30,35,36,38,
40,42,50,52,54,55,57,59,60,63,66,67,71,82,83,88,91,96,99,100,107,117,122,127,
128,132,133,134,135,141,152,163,164,165,167,170,174,178,191,202,203,204,205,
212,213,224,227,228,240,248,252,259,262,266,272,277,280,281,286,291,297,301,
316,325,343,348,358,365,366,371,376,380,382,398,403,409,410,411,444,448,453,
456,467,479,486,491,493,512,519,533,542,558,559,602,603,607,609,610,624,635,
639,642,669,708,710,711,715,725,726,733,774],[1,3,4,5,6,10,12,14,15,19,27,30,
31,32,34,36,37,41,42,45,47,49,51,53,55,58,59,63,67,70,77,78,85,89,92,99,101,
113,116,120,130,140,142,147,150,156,157,159,162,164,166,173,174,179,184,189,
209,213,215,220,222,235,240,243,245,247,249,259,260,265,268,269,284,287,298,
299,304,307,310,311,333,360,362,370,374,390,391,393,405,411,412,422,429,432,
436,438,452,454,461,462,473,487,500,503,518,537,543,556,565,570,608,611,621,
623,631,633,634,646,648,674,704,717,721,724,728,731,732,775],[1,5,8,9,10,11,
12,13,14,53,54,55,58,61,63,64,69,71,72,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,206,218,219,223,231,233,234,235,236,239,241,242,
243,249,250,252,254,257,259,262,264,272,322,323,324,325,326,327,328,329,330,
331,332,333,334,335,462,470,472,480,482,484,485,490,493,494,497,498,499,501,
505,578,579,580,581,582,583,584,585,586,677,680,681,682,684,686,693,694,697,
737,776],[1,4,8,9,10,11,12,13,14,36,38,39,47,52,56,67,68,70,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,200,201,207,210,212,213,221,
228,229,230,232,245,253,260,263,266,267,269,322,323,324,325,326,327,328,329,
330,331,332,333,334,335,463,469,476,488,489,491,492,502,503,504,578,579,580,
581,582,583,584,585,586,678,679,687,688,696,737,777],[1,6,8,9,10,11,12,13,14,
42,48,49,50,59,65,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,
113,114,203,211,214,217,222,237,240,247,248,255,256,258,261,322,323,324,325,
326,327,328,329,330,331,332,333,334,335,464,475,477,481,486,495,496,500,578,
579,580,581,582,583,584,585,586,685,689,690,695,698,737,778],[1,2,6,9,10,11,
12,14,21,35,40,42,48,49,50,57,59,60,66,91,99,100,101,104,107,109,111,113,114,
117,135,165,178,202,203,204,205,211,214,217,222,224,226,227,238,240,247,248,
256,316,323,325,329,333,335,358,382,404,409,423,433,453,464,466,467,474,479,
481,486,495,500,522,559,586,607,624,639,644,692,695,711,755,763,779],[1,3,5,9,
10,11,12,14,15,27,34,37,41,45,51,53,54,55,58,61,63,71,72,85,99,100,101,104,
107,109,111,113,114,116,120,147,154,159,162,166,208,209,215,218,220,223,231,
235,236,239,243,249,250,252,254,259,262,265,268,271,272,304,307,323,325,329,
333,335,375,390,412,429,435,441,442,452,454,462,471,472,473,480,487,493,497,
498,499,505,506,531,543,586,608,621,634,638,646,648,651,680,683,724,732,750,
758,767,780],[1,6,9,10,11,12,14,17,42,48,49,50,59,95,99,100,101,104,107,109,
111,113,114,203,211,214,217,222,240,247,248,256,323,325,329,333,335,368,383,
443,445,464,481,486,495,500,511,586,695,769,781],[1,2,6,9,10,11,12,14,17,21,
40,42,48,49,50,57,59,60,66,75,99,100,101,104,107,109,111,113,114,117,165,202,
203,204,205,211,214,217,222,224,226,227,238,240,247,248,256,323,325,329,333,
335,358,368,382,383,404,409,423,443,445,464,466,467,474,479,481,486,495,500,
552,586,639,644,692,695,755,769,782],[1,3,5,10,12,13,14,15,27,34,37,41,51,53,
55,58,63,64,85,99,101,106,108,113,116,119,120,147,166,209,215,233,234,235,243,
249,259,265,276,307,324,331,333,412,429,452,454,462,482,487,501,543,579,608,
621,648,697,724,768,783],[1,4,7,9,10,12,13,16,20,28,36,39,43,44,46,56,67,68,
87,99,103,108,109,111,126,158,169,180,183,199,200,210,213,225,230,253,270,282,
313,322,331,335,388,428,439,449,463,465,502,545,581,597,622,628,687,705,766,
784],[1,3,6,10,12,13,14,15,19,37,41,42,45,49,51,59,65,77,99,101,106,108,113,
119,130,147,157,162,209,215,220,222,237,240,247,265,268,278,298,324,331,333,
362,370,374,390,429,473,487,496,500,556,579,623,646,648,685,704,768,785],[1,3,
4,10,12,13,14,15,31,34,36,37,39,41,47,51,67,70,78,99,101,106,108,113,119,142,
147,159,179,200,209,213,215,245,260,265,269,284,285,324,331,333,412,429,432,
438,463,487,503,518,579,631,634,648,679,717,768,786],[1,2,5,9,10,11,12,14,24,
29,35,40,53,54,55,57,58,60,61,63,66,71,72,83,99,100,101,104,107,109,111,113,
114,121,127,132,133,135,170,178,202,204,205,218,223,224,226,227,231,235,236,
238,239,243,249,250,252,254,259,262,272,280,297,323,325,329,333,335,343,346,
348,349,363,366,376,433,453,462,466,467,472,474,479,480,493,497,498,499,505,
509,519,586,603,607,609,615,624,635,636,680,692,708,726,747,752,763,787],[1,6,
7,9,10,12,13,16,18,42,43,44,46,48,59,62,65,80,99,103,108,109,111,123,138,158,
181,183,199,214,217,225,237,240,244,251,270,303,312,322,331,335,369,372,377,
381,388,464,465,468,496,521,581,618,622,645,690,709,766,788],[1,2,3,4,5,7,9,
10,11,12,14,22,23,25,26,28,31,32,36,37,38,40,41,43,44,45,46,47,51,52,53,54,55,
56,57,58,60,61,62,63,66,67,68,70,71,72,81,99,100,101,104,107,109,111,113,114,
118,122,124,125,126,131,134,136,139,140,141,142,143,145,148,150,152,153,155,
163,169,171,175,176,177,179,182,184,199,202,204,205,207,208,209,210,212,213,
215,216,218,220,221,223,224,225,226,227,228,229,230,231,235,236,238,239,243,
244,245,246,249,250,251,252,253,254,259,260,262,263,265,266,268,269,270,271,
272,279,283,295,318,323,325,329,333,335,344,347,352,355,356,357,365,378,379,
380,384,385,387,389,391,392,394,396,398,400,401,402,403,406,408,414,416,417,
419,420,421,422,424,425,428,430,431,432,436,438,446,447,448,449,450,462,465,
466,467,468,469,471,472,473,474,476,478,479,480,483,487,488,491,492,493,497,
498,499,502,503,504,505,506,530,540,544,547,554,577,586,588,589,590,595,599,
601,602,611,612,613,614,616,619,620,625,626,627,628,629,630,631,640,641,642,
643,647,650,652,680,683,691,692,696,700,719,720,722,742,743,744,748,753,760,
765,789],[1,4,5,6,7,9,10,11,12,14,18,26,28,30,33,36,38,42,43,44,46,47,48,49,
50,52,53,54,55,56,58,59,61,62,63,67,68,70,71,72,97,99,100,101,104,107,109,111,
113,114,123,126,128,129,137,138,139,143,146,148,151,153,156,164,167,168,169,
173,174,176,182,199,203,207,210,211,212,213,214,216,217,218,221,222,223,225,
228,229,230,231,235,236,239,240,243,244,245,246,247,248,249,250,251,252,253,
254,256,259,260,262,263,266,269,270,272,294,296,302,323,325,329,333,335,345,
350,351,353,354,357,360,361,367,369,371,372,381,385,387,389,393,394,395,399,
405,406,408,410,411,415,425,426,428,431,434,440,444,446,447,449,451,462,464,
465,468,469,472,476,478,480,481,483,486,488,491,492,493,495,497,498,499,500,
502,503,504,505,538,541,550,551,562,586,589,592,593,594,595,596,600,604,605,
606,610,613,618,619,626,628,629,632,633,649,652,680,691,695,696,703,712,713,
743,746,749,757,765,790],[1,2,5,8,10,11,12,24,29,35,40,54,55,60,63,66,69,71,
83,98,99,100,103,106,107,127,133,135,144,170,205,219,224,227,234,252,257,259,
262,272,280,288,322,324,325,328,343,348,366,453,479,482,484,485,493,519,580,
607,609,635,677,726,770,791],[1,6,7,9,10,11,12,14,18,20,42,43,44,46,48,49,50,
59,62,73,99,100,101,104,107,109,111,113,114,123,138,160,180,199,203,211,214,
216,217,222,225,240,244,246,247,248,251,256,270,300,323,325,329,333,335,361,
367,369,372,381,386,439,464,465,468,478,481,483,486,495,500,526,528,586,591,
597,606,618,691,695,730,741,746,792],[1,4,7,9,10,11,12,14,16,20,28,36,38,43,
44,46,47,52,56,62,67,68,70,87,99,100,101,104,107,109,111,113,114,126,153,158,
160,169,180,181,199,207,210,212,213,216,221,225,228,229,230,244,245,246,251,
253,260,263,266,269,270,313,320,323,325,329,333,335,377,386,388,406,425,428,
439,446,449,465,468,469,476,478,483,488,491,492,502,503,504,514,545,586,591,
597,622,628,629,645,652,691,696,705,734,741,743,762,793],[1,2,4,9,10,11,12,14,
23,24,35,36,38,40,47,52,56,57,60,66,67,68,70,96,99,100,101,104,107,109,111,
113,114,132,133,134,135,136,163,178,202,204,205,207,210,212,213,221,224,226,
227,228,229,230,238,245,253,260,263,266,269,277,286,323,325,329,333,335,365,
366,376,379,403,420,421,433,453,466,467,469,474,476,479,488,491,492,502,503,
504,512,573,586,602,603,607,612,624,635,641,692,696,725,733,747,760,763,794],[
1,2,4,5,6,9,10,11,12,14,21,22,23,29,30,36,38,40,42,47,48,49,50,52,53,54,55,56,
57,58,59,60,61,63,66,67,68,70,71,72,88,99,100,101,104,107,109,111,113,114,117,
121,122,127,128,134,136,141,146,151,152,156,163,164,165,167,170,173,174,175,
177,202,203,204,205,207,210,211,212,213,214,217,218,221,222,223,224,226,227,
228,229,230,231,235,236,238,239,240,243,245,247,248,249,250,252,253,254,256,
259,260,262,263,266,269,272,274,281,291,323,325,329,333,335,343,345,346,348,
349,350,351,353,354,356,358,360,363,365,371,379,380,382,392,393,395,398,401,
402,403,404,405,409,410,411,414,415,420,421,423,444,448,462,464,466,467,469,
472,474,476,479,480,481,486,488,491,492,493,495,497,498,499,500,502,503,504,
505,508,510,533,546,558,586,592,593,594,596,600,602,605,609,610,612,614,615,
616,625,633,636,639,640,641,642,644,680,692,695,696,701,710,714,748,752,755,
757,760,795],[1,3,6,9,10,11,12,14,17,19,37,41,42,45,48,49,50,51,59,76,99,100,
101,104,107,109,111,113,114,130,157,203,208,209,211,214,215,217,220,222,240,
247,248,256,265,268,271,323,325,329,333,335,362,368,370,374,383,413,437,443,
445,464,471,473,481,486,487,495,500,506,534,586,617,623,683,695,761,769,796],[
1,2,3,6,9,10,11,12,14,17,19,21,37,40,41,42,45,48,49,50,51,57,59,60,66,93,99,
100,101,104,107,109,111,113,114,117,130,157,165,202,203,204,205,208,209,211,
214,215,217,220,222,224,226,227,238,240,247,248,256,265,268,271,323,325,329,
333,335,358,362,368,370,374,382,383,404,409,413,423,437,443,445,464,466,467,
471,473,474,479,481,486,487,495,500,506,555,569,586,617,623,639,644,683,692,
695,755,761,769,797],[1,6,7,9,10,11,12,14,16,18,42,43,44,46,48,49,50,59,62,80,
99,100,101,104,107,109,111,113,114,123,138,158,181,199,203,211,214,216,217,
222,225,240,244,246,247,248,251,256,270,303,323,325,329,333,335,361,367,369,
372,377,381,388,464,465,468,478,481,483,486,495,500,521,586,606,618,622,645,
691,695,709,746,762,798],[1,2,4,10,11,12,13,23,24,35,36,38,39,40,52,60,66,67,
96,99,100,107,108,112,133,134,163,172,178,200,205,212,213,224,227,228,266,286,
289,325,330,331,365,366,403,453,463,479,491,512,585,602,624,635,678,725,756,
799],[1,3,4,5,6,9,10,11,12,14,19,27,30,31,32,36,37,38,41,42,45,47,48,49,50,51,
52,53,54,55,56,58,59,61,63,67,68,70,71,72,92,99,100,101,104,107,109,111,113,
114,116,128,130,131,140,142,146,150,151,154,155,156,157,164,166,167,171,173,
174,179,184,203,207,208,209,210,211,212,213,214,215,217,218,220,221,222,223,
228,229,230,231,235,236,239,240,243,245,247,248,249,250,252,253,254,256,259,
260,262,263,265,266,268,269,271,272,299,308,311,323,325,329,333,335,345,350,
351,353,354,355,360,362,370,371,374,378,391,393,395,396,400,405,410,411,413,
415,416,417,422,430,432,435,436,437,438,441,442,444,450,452,454,462,464,469,
471,472,473,476,480,481,486,487,488,491,492,493,495,497,498,499,500,502,503,
504,505,506,515,537,539,549,570,586,592,593,594,596,600,601,605,610,611,617,
620,621,623,627,630,631,633,638,643,650,651,680,683,695,696,728,735,736,742,
753,757,758,761,800],[1,6,7,9,10,11,12,14,17,18,42,43,44,46,48,49,50,59,62,79,
99,100,101,104,107,109,111,113,114,123,138,199,203,211,214,216,217,222,225,
240,244,246,247,248,251,256,270,323,325,329,333,335,361,367,368,369,372,381,
383,443,445,464,465,468,478,481,483,486,495,500,520,586,606,618,691,695,746,
769,801],[1,5,7,9,10,12,13,16,20,33,43,44,46,55,61,63,64,72,94,99,103,108,109,
111,129,137,158,160,183,199,219,225,231,233,250,254,259,270,275,305,322,331,
335,388,399,439,440,465,485,498,501,563,581,591,622,649,693,702,766,802],[1,3,
6,7,9,10,11,12,14,17,18,19,37,41,42,43,44,45,46,48,49,50,51,59,62,74,99,100,
101,104,107,109,111,113,114,123,130,138,157,199,203,208,209,211,214,215,216,
217,220,222,225,240,244,246,247,248,251,256,265,268,270,271,323,325,329,333,
335,361,362,367,368,369,370,372,374,381,383,413,437,443,445,464,465,468,471,
473,478,481,483,486,487,495,500,506,517,524,586,606,617,618,623,683,691,695,
746,761,769,803],[1,5,7,8,9,10,12,16,20,33,43,44,46,55,61,63,69,72,94,98,99,
106,109,111,112,129,137,158,160,161,199,225,231,234,250,254,257,259,264,270,
273,305,324,328,330,335,388,399,439,440,465,482,484,494,498,563,583,591,622,
649,681,702,745,804],[1,2,6,9,10,11,12,14,21,24,40,42,48,49,50,57,59,60,66,82,
99,100,101,104,107,109,111,113,114,117,132,133,165,202,203,204,205,211,214,
217,222,224,226,227,238,240,247,248,256,301,323,325,329,333,335,358,366,376,
382,404,409,423,464,466,467,474,479,481,486,495,500,542,586,603,635,639,644,
692,695,715,747,755,805],[1,3,6,9,10,11,12,14,19,34,37,41,42,45,48,49,50,51,
59,89,99,100,101,104,107,109,111,113,114,120,130,157,159,203,208,209,211,214,
215,217,220,222,240,247,248,256,265,268,271,287,323,325,329,333,335,362,370,
374,375,412,413,437,464,471,473,481,486,487,495,500,506,565,568,586,608,617,
623,634,683,695,721,761,767,806],[1,2,6,7,9,10,11,12,14,17,18,21,40,42,43,44,
46,48,49,50,57,59,60,62,66,90,99,100,101,104,107,109,111,113,114,117,123,138,
165,199,202,203,204,205,211,214,216,217,222,224,225,226,227,238,240,244,246,
247,248,251,256,270,323,325,329,333,335,358,361,367,368,369,372,381,382,383,
404,409,423,443,445,464,465,466,467,468,474,478,479,481,483,486,495,500,516,
566,586,606,618,639,644,691,692,695,746,755,769,807],[1,2,5,10,11,12,13,24,29,
35,40,54,55,60,63,64,66,71,83,99,100,107,108,112,127,133,135,170,172,205,224,
227,233,252,259,262,264,272,280,290,325,330,331,343,348,366,453,479,493,494,
501,519,585,607,609,635,686,726,756,808],[1,3,5,8,10,12,14,15,27,34,37,41,51,
53,55,58,63,69,85,98,99,101,103,112,113,115,116,120,147,166,209,215,219,235,
243,249,257,259,264,265,307,314,322,328,330,333,412,429,452,454,462,484,485,
487,494,543,584,608,621,648,684,724,754,809],[1,5,7,9,10,11,12,14,16,20,33,43,
44,46,53,54,55,58,61,62,63,71,72,94,99,100,101,104,107,109,111,113,114,129,
137,158,160,168,180,181,199,216,218,223,225,231,235,236,239,243,244,246,249,
250,251,252,254,259,262,270,272,305,306,323,325,329,333,335,377,386,388,399,
426,434,439,440,451,462,465,468,472,478,480,483,493,497,498,499,505,563,575,
586,591,597,604,622,632,645,649,680,691,702,716,741,749,762,810],[1,3,6,9,10,
11,12,14,15,19,37,41,42,45,48,49,50,51,59,77,99,100,101,104,107,109,111,113,
114,130,147,157,162,203,208,209,211,214,215,217,220,222,240,247,248,256,265,
268,271,298,323,325,329,333,335,362,370,374,390,413,429,437,464,471,473,481,
486,487,495,500,506,556,586,617,623,646,648,683,695,704,750,761,811],[1,3,4,9,
10,11,12,14,15,31,34,36,37,38,41,45,47,51,52,56,67,68,70,78,99,100,101,104,
107,109,111,113,114,120,142,147,155,159,162,179,207,208,209,210,212,213,215,
220,221,228,229,230,245,253,260,263,265,266,268,269,271,284,310,323,325,329,
333,335,375,390,412,416,429,430,432,438,450,469,471,473,476,487,488,491,492,
502,503,504,506,518,523,586,608,630,631,634,643,646,648,683,696,717,731,750,
753,767,812],[1,2,6,10,11,12,13,21,24,40,42,50,57,59,60,65,66,82,99,100,107,
108,112,117,132,133,165,172,202,203,204,205,224,227,237,240,248,292,301,325,
330,331,358,366,376,382,409,467,479,486,496,542,585,603,635,639,698,715,756,
813],[1,2,3,6,7,9,10,11,12,14,18,19,21,25,37,40,41,42,43,44,45,46,48,49,50,51,
57,59,60,62,66,86,99,100,101,104,107,109,111,113,114,117,118,123,124,125,130,
138,145,157,165,199,202,203,204,205,208,209,211,214,215,216,217,220,222,224,
225,226,227,238,240,244,246,247,248,251,256,265,268,270,271,321,323,325,329,
333,335,344,347,352,358,361,362,367,369,370,372,374,381,382,384,404,409,413,
419,423,424,437,464,465,466,467,468,471,473,474,478,479,481,483,486,487,495,
500,506,560,572,574,586,588,590,599,606,617,618,623,639,644,647,683,691,692,
695,723,744,746,755,761,814],[1,2,3,4,5,7,9,10,11,12,14,22,25,26,27,29,32,33,
36,37,38,40,41,43,44,45,46,47,51,52,53,54,55,56,57,58,60,61,62,63,66,67,68,70,
71,72,84,99,100,101,104,107,109,111,113,114,116,118,121,122,124,125,127,129,
131,137,139,140,141,143,145,148,150,152,154,166,168,170,171,175,176,177,182,
184,199,202,204,205,207,208,209,210,212,213,215,216,218,220,221,223,224,225,
226,227,228,229,230,231,235,236,238,239,243,244,245,246,249,250,251,252,253,
254,259,260,262,263,265,266,268,269,270,271,272,293,309,317,319,323,325,329,
333,335,343,344,346,347,348,349,352,355,356,357,363,378,380,384,385,387,389,
391,392,394,396,398,399,400,401,402,408,414,417,419,422,424,426,431,434,435,
436,440,441,442,447,448,451,452,454,462,465,466,467,468,469,471,472,473,474,
476,478,479,480,483,487,488,491,492,493,497,498,499,502,503,504,505,506,527,
529,536,564,567,571,586,588,589,590,595,599,601,604,609,611,613,614,615,616,
619,620,621,625,626,627,632,636,638,640,642,647,649,650,651,680,683,691,692,
696,706,707,718,729,742,744,748,749,752,758,765,815],[1,3,8,9,10,11,12,13,14,
15,37,41,45,51,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,119,147,162,208,209,215,220,265,268,271,322,323,324,325,326,327,328,
329,330,331,332,333,334,335,359,390,429,471,473,487,506,578,579,580,581,582,
583,584,585,586,646,648,683,737,750,754,768,816],[1,2,8,9,10,11,12,13,14,24,
40,57,60,66,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
132,133,144,172,202,204,205,224,226,227,238,322,323,324,325,326,327,328,329,
330,331,332,333,334,335,366,373,376,466,467,474,479,578,579,580,581,582,583,
584,585,586,603,635,692,737,747,756,770,817],[1,7,8,9,10,11,12,13,14,16,43,44,
46,62,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,158,
161,181,183,199,216,225,244,246,251,270,322,323,324,325,326,327,328,329,330,
331,332,333,334,335,377,388,418,465,468,478,483,578,579,580,581,582,583,584,
585,586,622,645,691,737,745,762,766,818],[1,4,5,6,8,9,10,11,12,13,14,30,36,38,
39,42,47,48,49,50,52,53,54,55,56,58,59,61,63,64,65,67,68,69,70,71,72,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,128,146,149,151,
156,164,167,173,174,200,201,203,206,207,210,211,212,213,214,217,218,219,221,
222,223,228,229,230,231,232,233,234,235,236,237,239,240,241,242,243,245,247,
248,249,250,252,253,254,255,256,257,258,259,260,261,262,263,264,266,267,269,
272,322,323,324,325,326,327,328,329,330,331,332,333,334,335,345,350,351,353,
354,360,364,371,393,395,397,405,407,410,411,415,427,444,462,463,464,469,470,
472,475,476,477,480,481,482,484,485,486,488,489,490,491,492,493,494,495,496,
497,498,499,500,501,502,503,504,505,578,579,580,581,582,583,584,585,586,592,
593,594,596,598,600,605,610,633,637,677,678,679,680,681,682,684,685,686,687,
688,689,690,693,694,695,696,697,698,737,751,757,759,764,771,776,777,778,819],[
1,2,3,6,7,9,10,11,12,14,18,19,21,25,35,37,40,41,42,43,44,45,46,48,49,50,51,57,
59,60,62,66,86,91,99,100,101,104,107,109,111,113,114,117,118,123,124,125,130,
135,138,145,157,165,178,196,199,202,203,204,205,208,209,211,214,215,216,217,
220,222,224,225,226,227,238,240,244,246,247,248,251,256,265,268,270,271,316,
321,323,325,329,333,335,344,347,352,358,361,362,367,369,370,372,374,381,382,
384,404,409,413,419,423,424,433,437,453,464,465,466,467,468,471,473,474,478,
479,481,483,486,487,495,500,506,522,559,560,572,574,586,588,590,599,606,607,
617,618,623,624,639,644,647,657,683,691,692,695,711,723,744,746,755,761,763,
779,814,820],[1,3,4,5,6,10,12,13,14,15,19,27,30,31,32,34,36,37,39,41,42,45,47,
49,51,53,55,58,59,63,64,65,67,70,77,78,85,89,92,99,101,106,108,113,116,119,
120,130,140,142,147,149,150,156,157,159,162,164,166,173,174,179,184,189,200,
209,213,215,220,222,233,234,235,237,240,243,245,247,249,259,260,265,268,269,
276,278,284,285,287,298,299,304,307,310,311,324,331,333,360,362,364,370,374,
390,391,393,405,411,412,422,429,432,436,438,452,454,459,461,462,463,473,482,
487,496,500,501,503,518,537,543,556,565,570,579,598,608,611,621,623,631,633,
634,646,648,674,679,685,697,704,717,721,724,728,731,732,759,768,775,783,785,
786,821],[1,2,3,6,7,9,10,11,12,14,18,19,20,21,25,37,40,41,42,43,44,45,46,48,
49,50,51,57,59,60,62,66,73,86,99,100,101,104,107,109,111,113,114,117,118,123,
124,125,130,138,145,157,160,165,180,198,199,202,203,204,205,208,209,211,214,
215,216,217,220,222,224,225,226,227,238,240,244,246,247,248,251,256,265,268,
270,271,300,321,323,325,329,333,335,344,347,352,358,361,362,367,369,370,372,
374,381,382,384,386,404,409,413,419,423,424,437,439,464,465,466,467,468,471,
473,474,478,479,481,483,486,487,495,500,506,526,528,560,572,574,586,588,590,
591,597,599,606,617,618,623,639,644,647,667,683,691,692,695,723,730,741,744,
746,755,761,792,814,822],[1,3,4,5,6,9,10,11,12,14,17,19,27,30,31,32,34,36,37,
38,41,42,45,47,48,49,50,51,52,53,54,55,56,58,59,61,63,67,68,70,71,72,76,89,92,
99,100,101,104,107,109,111,113,114,116,120,128,130,131,140,142,146,150,151,
154,155,156,157,159,164,166,167,171,173,174,179,184,190,203,207,208,209,210,
211,212,213,214,215,217,218,220,221,222,223,228,229,230,231,235,236,239,240,
243,245,247,248,249,250,252,253,254,256,259,260,262,263,265,266,268,269,271,
272,287,299,308,311,323,325,329,333,335,345,350,351,353,354,355,360,362,368,
370,371,374,375,378,383,391,393,395,396,400,405,410,411,412,413,415,416,417,
422,430,432,435,436,437,438,441,442,443,444,445,450,452,454,462,464,469,471,
472,473,476,480,481,486,487,488,491,492,493,495,497,498,499,500,502,503,504,
505,506,515,534,537,539,549,565,568,570,586,592,593,594,596,600,601,605,608,
610,611,617,620,621,623,627,630,631,633,634,638,643,650,651,655,672,680,683,
695,696,721,728,735,736,742,753,757,758,761,767,769,796,800,806,823],[1,2,4,5,
6,9,10,11,12,14,21,22,23,24,29,30,35,36,38,40,42,47,48,49,50,52,53,54,55,56,
57,58,59,60,61,63,66,67,68,70,71,72,82,83,88,91,96,99,100,101,104,107,109,111,
113,114,117,121,122,127,128,132,133,134,135,136,141,146,151,152,156,163,164,
165,167,170,173,174,175,177,178,191,202,203,204,205,207,210,211,212,213,214,
217,218,221,222,223,224,226,227,228,229,230,231,235,236,238,239,240,243,245,
247,248,249,250,252,253,254,256,259,260,262,263,266,269,272,274,277,280,281,
286,291,297,301,316,323,325,329,333,335,343,345,346,348,349,350,351,353,354,
356,358,360,363,365,366,371,376,379,380,382,392,393,395,398,401,402,403,404,
405,409,410,411,414,415,420,421,423,433,444,448,453,456,462,464,466,467,469,
472,474,476,479,480,481,486,488,491,492,493,495,497,498,499,500,502,503,504,
505,508,509,510,512,519,522,533,542,546,558,559,573,586,592,593,594,596,600,
602,603,605,607,609,610,612,614,615,616,624,625,633,635,636,639,640,641,642,
644,669,670,680,692,695,696,701,708,710,711,714,715,725,726,733,747,748,752,
755,757,760,763,774,779,787,794,795,805,824],[1,2,3,6,7,9,10,11,12,14,16,17,
18,19,21,25,37,40,41,42,43,44,45,46,48,49,50,51,57,59,60,62,66,74,79,80,86,90,
99,100,101,104,107,109,111,113,114,117,118,123,124,125,130,138,145,157,158,
165,181,185,199,202,203,204,205,208,209,211,214,215,216,217,220,222,224,225,
226,227,238,240,244,246,247,248,251,256,265,268,270,271,303,321,323,325,329,
333,335,344,347,352,358,361,362,367,368,369,370,372,374,377,381,382,383,384,
388,404,409,413,419,423,424,437,443,445,464,465,466,467,468,471,473,474,478,
479,481,483,486,487,495,500,506,516,517,520,521,524,560,566,572,574,586,588,
590,599,606,617,618,622,623,639,644,645,647,663,683,691,692,695,709,723,744,
746,755,761,762,769,798,801,803,807,814,825],[1,2,3,6,7,9,10,11,12,14,17,18,
19,21,37,40,41,42,43,44,45,46,48,49,50,51,57,59,60,62,66,74,75,76,79,90,93,95,
99,100,101,104,107,109,111,113,114,117,123,130,138,157,165,188,199,202,203,
204,205,208,209,211,214,215,216,217,220,222,224,225,226,227,238,240,244,246,
247,248,251,256,265,268,270,271,323,325,329,333,335,358,361,362,367,368,369,
370,372,374,381,382,383,404,409,413,423,437,443,445,464,465,466,467,468,471,
473,474,478,479,481,483,486,487,495,500,506,511,516,517,520,524,534,552,555,
566,569,586,606,617,618,623,639,644,683,691,692,695,746,755,761,769,781,782,
796,797,801,803,807,826],[1,3,4,5,6,9,10,11,12,14,15,19,27,30,31,32,34,36,37,
38,41,42,45,47,48,49,50,51,52,53,54,55,56,58,59,61,63,67,68,70,71,72,77,78,85,
89,92,99,100,101,104,107,109,111,113,114,116,120,128,130,131,140,142,146,147,
150,151,154,155,156,157,159,162,164,166,167,171,173,174,179,184,189,203,207,
208,209,210,211,212,213,214,215,217,218,220,221,222,223,228,229,230,231,235,
236,239,240,243,245,247,248,249,250,252,253,254,256,259,260,262,263,265,266,
268,269,271,272,284,287,298,299,304,307,308,310,311,323,325,329,333,335,345,
350,351,353,354,355,360,362,370,371,374,375,378,390,391,393,395,396,400,405,
410,411,412,413,415,416,417,422,429,430,432,435,436,437,438,441,442,444,450,
452,454,461,462,464,469,471,472,473,476,480,481,486,487,488,491,492,493,495,
497,498,499,500,502,503,504,505,506,515,518,523,531,537,539,543,549,556,565,
568,570,586,592,593,594,596,600,601,605,608,610,611,617,620,621,623,627,630,
631,633,634,638,643,646,648,650,651,659,674,680,683,695,696,704,717,721,724,
728,731,732,735,736,742,750,753,757,758,761,767,775,780,800,806,811,812,827],[
1,2,4,5,6,9,10,11,12,14,17,21,22,23,29,30,35,36,38,40,42,47,48,49,50,52,53,54,
55,56,57,58,59,60,61,63,66,67,68,70,71,72,75,88,91,99,100,101,104,107,109,111,
113,114,117,121,122,127,128,134,135,136,141,146,151,152,156,163,164,165,167,
170,173,174,175,177,178,195,202,203,204,205,207,210,211,212,213,214,217,218,
221,222,223,224,226,227,228,229,230,231,235,236,238,239,240,243,245,247,248,
249,250,252,253,254,256,259,260,262,263,266,269,272,274,281,291,316,323,325,
329,333,335,343,345,346,348,349,350,351,353,354,356,358,360,363,365,368,371,
379,380,382,383,392,393,395,398,401,402,403,404,405,409,410,411,414,415,420,
421,423,433,443,444,445,448,453,462,464,466,467,469,472,474,476,479,480,481,
486,488,491,492,493,495,497,498,499,500,502,503,504,505,508,510,522,533,546,
552,558,559,586,592,593,594,596,600,602,605,607,609,610,612,614,615,616,624,
625,633,636,639,640,641,642,644,660,668,680,692,695,696,701,710,711,714,748,
752,755,757,760,763,769,779,782,795,828],[1,2,3,6,7,9,10,11,12,14,18,19,21,25,
34,37,40,41,42,43,44,45,46,48,49,50,51,57,59,60,62,66,86,89,99,100,101,104,
107,109,111,113,114,117,118,120,123,124,125,130,138,145,157,159,165,187,199,
202,203,204,205,208,209,211,214,215,216,217,220,222,224,225,226,227,238,240,
244,246,247,248,251,256,265,268,270,271,287,321,323,325,329,333,335,344,347,
352,358,361,362,367,369,370,372,374,375,381,382,384,404,409,412,413,419,423,
424,437,464,465,466,467,468,471,473,474,478,479,481,483,486,487,495,500,506,
560,565,568,572,574,586,588,590,599,606,608,617,618,623,634,639,644,647,654,
683,691,692,695,721,723,744,746,755,761,767,806,814,829],[1,4,5,6,7,9,10,12,
13,16,18,20,26,28,30,33,36,39,42,43,44,46,48,55,56,59,61,62,63,64,65,67,68,72,
73,80,87,94,97,99,103,108,109,111,123,126,129,137,138,139,143,146,149,151,158,
160,164,169,174,180,181,182,183,186,199,200,210,213,214,217,219,225,230,231,
233,237,240,244,250,251,253,254,259,270,275,282,296,300,302,303,305,306,312,
313,320,322,331,335,353,364,369,372,377,381,388,389,395,399,408,411,415,428,
431,439,440,449,455,457,463,464,465,468,485,496,498,501,502,521,526,538,541,
545,563,581,591,592,597,598,613,618,622,628,645,649,676,687,690,693,702,705,
709,713,716,730,734,751,766,773,784,788,802,830],[1,2,3,4,5,6,7,9,10,11,12,14,
18,19,21,22,23,25,26,27,28,29,30,31,32,33,36,37,38,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,66,67,68,70,71,72,81,84,86,88,92,
97,99,100,101,104,107,109,111,113,114,116,117,118,121,122,123,124,125,126,127,
128,129,130,131,134,136,137,138,139,140,141,142,143,145,146,148,150,151,152,
153,154,155,156,157,163,164,165,166,167,168,169,170,171,173,174,175,176,177,
179,182,184,193,199,202,203,204,205,207,208,209,210,211,212,213,214,215,216,
217,218,220,221,222,223,224,225,226,227,228,229,230,231,235,236,238,239,240,
243,244,245,246,247,248,249,250,251,252,253,254,256,259,260,262,263,265,266,
268,269,270,271,272,274,279,281,283,291,293,294,295,296,299,302,308,309,311,
317,318,319,321,323,325,329,333,335,343,344,345,346,347,348,349,350,351,352,
353,354,355,356,357,358,360,361,362,363,365,367,369,370,371,372,374,378,379,
380,381,382,384,385,387,389,391,392,393,394,395,396,398,399,400,401,402,403,
404,405,406,408,409,410,411,413,414,415,416,417,419,420,421,422,423,424,425,
426,428,430,431,432,434,435,436,437,438,440,441,442,444,446,447,448,449,450,
451,452,454,460,462,464,465,466,467,468,469,471,472,473,474,476,478,479,480,
481,483,486,487,488,491,492,493,495,497,498,499,500,502,503,504,505,506,508,
510,515,527,529,530,533,536,537,538,539,540,541,544,546,547,549,550,551,554,
558,560,562,564,567,570,571,572,574,577,586,588,589,590,592,593,594,595,596,
599,600,601,602,604,605,606,609,610,611,612,613,614,615,616,617,618,619,620,
621,623,625,626,627,628,629,630,631,632,633,636,638,639,640,641,642,643,644,
647,649,650,651,652,653,661,665,680,683,691,692,695,696,700,701,703,706,707,
710,712,713,714,718,719,720,722,723,728,729,735,736,742,743,744,746,748,749,
752,753,755,757,758,760,761,765,772,789,790,795,800,814,815,831],[1,4,5,6,7,9,
10,11,12,14,16,18,20,26,28,30,33,36,38,42,43,44,46,47,48,49,50,52,53,54,55,56,
58,59,61,62,63,67,68,70,71,72,73,80,87,94,97,99,100,101,104,107,109,111,113,
114,123,126,128,129,137,138,139,143,146,148,151,153,156,158,160,164,167,168,
169,173,174,176,180,181,182,186,199,203,207,210,211,212,213,214,216,217,218,
221,222,223,225,228,229,230,231,235,236,239,240,243,244,245,246,247,248,249,
250,251,252,253,254,256,259,260,262,263,266,269,270,272,294,296,300,302,303,
305,306,313,320,323,325,329,333,335,345,350,351,353,354,357,360,361,367,369,
371,372,377,381,385,386,387,388,389,393,394,395,399,405,406,408,410,411,415,
425,426,428,431,434,439,440,444,446,447,449,451,457,462,464,465,468,469,472,
476,478,480,481,483,486,488,491,492,493,495,497,498,499,500,502,503,504,505,
514,521,526,528,538,541,545,550,551,562,563,575,586,589,591,592,593,594,595,
596,597,600,604,605,606,610,613,618,619,622,626,628,629,632,633,645,649,652,
666,676,680,691,695,696,702,703,705,709,712,713,716,730,734,741,743,746,749,
757,762,765,773,790,792,793,798,810,832],[1,2,4,5,6,10,11,12,13,21,22,23,24,
29,30,35,36,38,39,40,42,50,52,54,55,57,59,60,63,64,65,66,67,71,82,83,88,91,96,
99,100,107,108,112,117,122,127,128,132,133,134,135,141,149,152,163,164,165,
167,170,172,174,178,191,200,202,203,204,205,212,213,224,227,228,233,237,240,
248,252,259,262,264,266,272,277,280,281,286,289,290,291,292,297,301,316,325,
330,331,343,348,358,364,365,366,371,376,380,382,398,403,409,410,411,444,448,
453,456,458,463,467,479,486,491,493,494,496,501,512,519,533,542,558,559,585,
598,602,603,607,609,610,624,635,639,642,669,678,686,698,708,710,711,715,725,
726,733,756,771,774,799,808,813,833],[1,4,5,6,7,9,10,11,12,14,17,18,20,26,28,
30,33,36,38,42,43,44,46,47,48,49,50,52,53,54,55,56,58,59,61,62,63,67,68,70,71,
72,73,79,97,99,100,101,104,107,109,111,113,114,123,126,128,129,137,138,139,
143,146,148,151,153,156,160,164,167,168,169,173,174,176,180,182,197,199,203,
207,210,211,212,213,214,216,217,218,221,222,223,225,228,229,230,231,235,236,
239,240,243,244,245,246,247,248,249,250,251,252,253,254,256,259,260,262,263,
266,269,270,272,294,296,300,302,323,325,329,333,335,345,350,351,353,354,357,
360,361,367,368,369,371,372,381,383,385,386,387,389,393,394,395,399,405,406,
408,410,411,415,425,426,428,431,434,439,440,443,444,445,446,447,449,451,462,
464,465,468,469,472,476,478,480,481,483,486,488,491,492,493,495,497,498,499,
500,502,503,504,505,520,526,528,538,541,550,551,562,586,589,591,592,593,594,
595,596,597,600,604,605,606,610,613,618,619,626,628,629,632,633,649,652,656,
675,680,691,695,696,703,712,713,730,741,743,746,749,757,765,769,790,792,801,
834],[1,2,3,6,7,9,10,11,12,14,17,18,19,21,24,25,37,40,41,42,43,44,45,46,48,49,
50,51,57,59,60,62,66,75,82,86,90,93,99,100,101,104,107,109,111,113,114,117,
118,123,124,125,130,132,133,138,145,157,165,194,199,202,203,204,205,208,209,
211,214,215,216,217,220,222,224,225,226,227,238,240,244,246,247,248,251,256,
265,268,270,271,301,321,323,325,329,333,335,344,347,352,358,361,362,366,367,
368,369,370,372,374,376,381,382,383,384,404,409,413,419,423,424,437,443,445,
464,465,466,467,468,471,473,474,478,479,481,483,486,487,495,500,506,516,542,
552,555,560,566,569,572,574,586,588,590,599,603,606,617,618,623,635,639,644,
647,671,683,691,692,695,715,723,744,746,747,755,761,769,782,797,805,807,814,
835],[1,2,3,6,7,9,10,11,12,14,15,17,18,19,21,25,37,40,41,42,43,44,45,46,48,49,
50,51,57,59,60,62,66,74,76,77,86,93,99,100,101,104,107,109,111,113,114,117,
118,123,124,125,130,138,145,147,157,162,165,192,199,202,203,204,205,208,209,
211,214,215,216,217,220,222,224,225,226,227,238,240,244,246,247,248,251,256,
265,268,270,271,298,321,323,325,329,333,335,344,347,352,358,361,362,367,368,
369,370,372,374,381,382,383,384,390,404,409,413,419,423,424,429,437,443,445,
464,465,466,467,468,471,473,474,478,479,481,483,486,487,495,500,506,517,524,
534,555,556,560,569,572,574,586,588,590,599,606,617,618,623,639,644,646,647,
648,658,683,691,692,695,704,723,744,746,750,755,761,769,796,797,803,811,814,
836],[1,3,6,8,9,10,11,12,13,14,15,19,37,41,42,45,48,49,50,51,59,65,77,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,119,130,147,
157,162,203,208,209,211,214,215,217,220,222,237,240,247,248,255,256,258,261,
265,268,271,278,298,322,323,324,325,326,327,328,329,330,331,332,333,334,335,
359,362,370,374,390,413,429,437,464,471,473,475,477,481,486,487,495,496,500,
506,556,561,578,579,580,581,582,583,584,585,586,617,623,646,648,683,685,689,
690,695,698,704,737,750,754,761,768,778,785,811,816,837],[1,4,7,8,9,10,11,12,
13,14,16,20,28,36,38,39,43,44,46,47,52,56,62,67,68,70,87,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,126,153,158,160,161,169,180,
181,183,199,200,201,207,210,212,213,216,221,225,228,229,230,232,244,245,246,
251,253,260,263,266,267,269,270,282,313,320,322,323,324,325,326,327,328,329,
330,331,332,333,334,335,377,386,388,406,418,425,428,439,446,449,463,465,468,
469,476,478,483,488,489,491,492,502,503,504,514,545,576,578,579,580,581,582,
583,584,585,586,591,597,622,628,629,645,652,678,679,687,688,691,696,705,734,
737,741,743,745,762,766,777,784,793,818,838],[1,3,5,8,9,10,11,12,13,14,15,27,
34,37,41,45,51,53,54,55,58,61,63,64,69,71,72,85,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,115,116,119,120,147,154,159,162,166,206,
208,209,215,218,219,220,223,231,233,234,235,236,239,241,242,243,249,250,252,
254,257,259,262,264,265,268,271,272,276,304,307,314,322,323,324,325,326,327,
328,329,330,331,332,333,334,335,359,375,390,412,429,435,441,442,452,454,462,
470,471,472,473,480,482,484,485,487,490,493,494,497,498,499,501,505,506,531,
543,557,578,579,580,581,582,583,584,585,586,608,621,634,638,646,648,651,677,
680,681,682,683,684,686,693,694,697,724,732,737,750,754,758,767,768,776,780,
783,809,816,839],[1,2,5,8,9,10,11,12,13,14,24,29,35,40,53,54,55,57,58,60,61,
63,64,66,69,71,72,83,98,99,100,101,102,103,104,105,106,107,108,109,110,111,
112,113,114,121,127,132,133,135,144,170,172,178,202,204,205,206,218,219,223,
224,226,227,231,233,234,235,236,238,239,241,242,243,249,250,252,254,257,259,
262,264,272,280,288,290,297,322,323,324,325,326,327,328,329,330,331,332,333,
334,335,343,346,348,349,363,366,373,376,433,453,462,466,467,470,472,474,479,
480,482,484,485,490,493,494,497,498,499,501,505,509,519,525,578,579,580,581,
582,583,584,585,586,603,607,609,615,624,635,636,677,680,681,682,684,686,692,
693,694,697,708,726,737,747,752,756,763,770,776,787,791,808,817,840],[1,6,8,9,
10,11,12,13,14,17,42,48,49,50,59,65,95,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,203,211,214,217,222,237,240,247,248,255,256,258,
261,315,322,323,324,325,326,327,328,329,330,331,332,333,334,335,368,383,443,
445,464,475,477,481,486,495,496,500,511,578,579,580,581,582,583,584,585,586,
685,689,690,695,698,727,737,769,778,781,841],[1,6,7,8,9,10,11,12,13,14,16,18,
42,43,44,46,48,49,50,59,62,65,80,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,123,138,158,161,181,183,199,203,211,214,216,217,222,
225,237,240,244,246,247,248,251,255,256,258,261,270,303,312,322,323,324,325,
326,327,328,329,330,331,332,333,334,335,361,367,369,372,377,381,388,418,464,
465,468,475,477,478,481,483,486,495,496,500,521,548,578,579,580,581,582,583,
584,585,586,606,618,622,645,685,689,690,691,695,698,709,737,745,746,762,766,
778,788,798,818,842],[1,2,6,8,9,10,11,12,13,14,21,24,40,42,48,49,50,57,59,60,
65,66,82,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
117,132,133,144,165,172,202,203,204,205,211,214,217,222,224,226,227,237,238,
240,247,248,255,256,258,261,292,301,322,323,324,325,326,327,328,329,330,331,
332,333,334,335,358,366,373,376,382,404,409,423,464,466,467,474,475,477,479,
481,486,495,496,500,535,542,578,579,580,581,582,583,584,585,586,603,635,639,
644,685,689,690,692,695,698,715,737,747,755,756,770,778,805,813,817,843],[1,3,
4,8,9,10,11,12,13,14,15,31,34,36,37,38,39,41,45,47,51,52,56,67,68,70,78,98,99,
100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,119,120,142,
147,155,159,162,179,200,201,207,208,209,210,212,213,215,220,221,228,229,230,
232,245,253,260,263,265,266,267,268,269,271,284,285,310,322,323,324,325,326,
327,328,329,330,331,332,333,334,335,359,375,390,412,416,429,430,432,438,450,
463,469,471,473,476,487,488,489,491,492,502,503,504,506,513,518,523,578,579,
580,581,582,583,584,585,586,608,630,631,634,643,646,648,678,679,683,687,688,
696,717,731,737,750,753,754,767,768,777,786,812,816,844],[1,2,4,8,9,10,11,12,
13,14,23,24,35,36,38,39,40,47,52,56,57,60,66,67,68,70,96,98,99,100,101,102,
103,104,105,106,107,108,109,110,111,112,113,114,132,133,134,135,136,144,163,
172,178,200,201,202,204,205,207,210,212,213,221,224,226,227,228,229,230,232,
238,245,253,260,263,266,267,269,277,286,289,322,323,324,325,326,327,328,329,
330,331,332,333,334,335,365,366,373,376,379,403,420,421,433,453,463,466,467,
469,474,476,479,488,489,491,492,502,503,504,512,553,573,578,579,580,581,582,
583,584,585,586,602,603,607,612,624,635,641,678,679,687,688,692,696,725,733,
737,747,756,760,763,770,777,794,799,817,845],[1,5,7,8,9,10,11,12,13,14,16,20,
33,43,44,46,53,54,55,58,61,62,63,64,69,71,72,94,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,112,113,114,129,137,158,160,161,168,180,181,183,199,
206,216,218,219,223,225,231,233,234,235,236,239,241,242,243,244,246,249,250,
251,252,254,257,259,262,264,270,272,273,275,305,306,322,323,324,325,326,327,
328,329,330,331,332,333,334,335,377,386,388,399,418,426,434,439,440,451,462,
465,468,470,472,478,480,482,483,484,485,490,493,494,497,498,499,501,505,532,
563,575,578,579,580,581,582,583,584,585,586,591,597,604,622,632,645,649,677,
680,681,682,684,686,691,693,694,697,702,716,737,741,745,749,762,766,776,802,
804,810,818,846],[1,2,3,6,7,9,10,11,12,14,15,16,17,18,19,21,24,25,37,40,41,42,
43,44,45,46,48,49,50,51,57,59,60,62,66,74,75,76,77,79,80,82,86,90,93,95,99,
100,101,104,107,109,111,113,114,117,118,123,124,125,130,132,133,138,145,147,
157,158,162,165,181,185,188,192,194,199,202,203,204,205,208,209,211,214,215,
216,217,220,222,224,225,226,227,238,240,244,246,247,248,251,256,265,268,270,
271,298,301,303,321,323,325,329,333,335,341,344,347,352,358,361,362,366,367,
368,369,370,372,374,376,377,381,382,383,384,388,390,404,409,413,419,423,424,
429,437,443,445,464,465,466,467,468,471,473,474,478,479,481,483,486,487,495,
500,506,511,516,517,520,521,524,534,542,552,555,556,560,566,569,572,574,586,
588,590,599,603,606,617,618,622,623,635,639,644,645,646,647,648,658,663,671,
683,691,692,695,704,709,715,723,744,746,747,750,755,761,762,769,781,782,796,
797,798,801,803,805,807,811,814,825,826,835,836,847],[1,2,3,4,5,6,7,9,10,11,
12,14,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,66,67,68,70,71,72,
75,81,82,83,84,86,88,90,91,92,93,96,97,99,100,101,104,107,109,111,113,114,116,
117,118,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,145,146,148,150,151,152,153,154,155,156,157,163,164,
165,166,167,168,169,170,171,173,174,175,176,177,178,179,182,184,191,193,194,
195,196,199,202,203,204,205,207,208,209,210,211,212,213,214,215,216,217,218,
220,221,222,223,224,225,226,227,228,229,230,231,235,236,238,239,240,243,244,
245,246,247,248,249,250,251,252,253,254,256,259,260,262,263,265,266,268,269,
270,271,272,274,277,279,280,281,283,286,291,293,294,295,296,297,299,301,302,
308,309,311,316,317,318,319,321,323,325,329,333,335,339,343,344,345,346,347,
348,349,350,351,352,353,354,355,356,357,358,360,361,362,363,365,366,367,368,
369,370,371,372,374,376,378,379,380,381,382,383,384,385,387,389,391,392,393,
394,395,396,398,399,400,401,402,403,404,405,406,408,409,410,411,413,414,415,
416,417,419,420,421,422,423,424,425,426,428,430,431,432,433,434,435,436,437,
438,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,456,460,462,
464,465,466,467,468,469,471,472,473,474,476,478,479,480,481,483,486,487,488,
491,492,493,495,497,498,499,500,502,503,504,505,506,508,509,510,512,515,516,
519,522,527,529,530,533,536,537,538,539,540,541,542,544,546,547,549,550,551,
552,554,555,558,559,560,562,564,566,567,569,570,571,572,573,574,577,586,588,
589,590,592,593,594,595,596,599,600,601,602,603,604,605,606,607,609,610,611,
612,613,614,615,616,617,618,619,620,621,623,624,625,626,627,628,629,630,631,
632,633,635,636,638,639,640,641,642,643,644,647,649,650,651,652,653,657,660,
661,665,668,669,670,671,680,683,691,692,695,696,700,701,703,706,707,708,710,
711,712,713,714,715,718,719,720,722,723,725,726,728,729,733,735,736,738,742,
743,744,746,747,748,749,752,753,755,757,758,760,761,763,765,769,772,774,779,
782,787,789,790,794,795,797,800,805,807,814,815,820,824,828,831,835,848],[1,2,
3,6,7,9,10,11,12,14,16,17,18,19,21,25,34,35,37,40,41,42,43,44,45,46,48,49,50,
51,57,59,60,62,66,74,79,80,86,89,90,91,99,100,101,104,107,109,111,113,114,117,
118,120,123,124,125,130,135,138,145,157,158,159,165,178,181,185,187,196,199,
202,203,204,205,208,209,211,214,215,216,217,220,222,224,225,226,227,238,240,
244,246,247,248,251,256,265,268,270,271,287,303,316,321,323,325,329,333,335,
338,344,347,352,358,361,362,367,368,369,370,372,374,375,377,381,382,383,384,
388,404,409,412,413,419,423,424,433,437,443,445,453,464,465,466,467,468,471,
473,474,478,479,481,483,486,487,495,500,506,516,517,520,521,522,524,559,560,
565,566,568,572,574,586,588,590,599,606,607,608,617,618,622,623,624,634,639,
644,645,647,654,657,663,683,691,692,695,709,711,721,723,744,746,755,761,762,
763,767,769,779,798,801,803,806,807,814,820,825,829,849],[1,2,3,6,7,9,10,11,
12,14,17,18,19,20,21,24,25,34,37,40,41,42,43,44,45,46,48,49,50,51,57,59,60,62,
66,73,75,82,86,89,90,93,99,100,101,104,107,109,111,113,114,117,118,120,123,
124,125,130,132,133,138,145,157,159,160,165,180,187,194,198,199,202,203,204,
205,208,209,211,214,215,216,217,220,222,224,225,226,227,238,240,244,246,247,
248,251,256,265,268,270,271,287,300,301,321,323,325,329,333,335,336,344,347,
352,358,361,362,366,367,368,369,370,372,374,375,376,381,382,383,384,386,404,
409,412,413,419,423,424,437,439,443,445,464,465,466,467,468,471,473,474,478,
479,481,483,486,487,495,500,506,516,526,528,542,552,555,560,565,566,568,569,
572,574,586,588,590,591,597,599,603,606,608,617,618,623,634,635,639,644,647,
654,667,671,683,691,692,695,715,721,723,730,741,744,746,747,755,761,767,769,
782,792,797,805,806,807,814,822,829,835,850],[1,2,3,4,5,6,7,9,10,11,12,14,16,
17,18,19,20,21,22,23,25,26,27,28,29,30,31,32,33,36,37,38,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,66,67,68,70,71,72,73,74,79,
80,81,84,86,87,88,90,92,94,97,99,100,101,104,107,109,111,113,114,116,117,118,
121,122,123,124,125,126,127,128,129,130,131,134,136,137,138,139,140,141,142,
143,145,146,148,150,151,152,153,154,155,156,157,158,160,163,164,165,166,167,
168,169,170,171,173,174,175,176,177,179,180,181,182,184,185,186,193,197,198,
199,202,203,204,205,207,208,209,210,211,212,213,214,215,216,217,218,220,221,
222,223,224,225,226,227,228,229,230,231,235,236,238,239,240,243,244,245,246,
247,248,249,250,251,252,253,254,256,259,260,262,263,265,266,268,269,270,271,
272,274,279,281,283,291,293,294,295,296,299,300,302,303,305,306,308,309,311,
313,317,318,319,320,321,323,325,329,333,335,342,343,344,345,346,347,348,349,
350,351,352,353,354,355,356,357,358,360,361,362,363,365,367,368,369,370,371,
372,374,377,378,379,380,381,382,383,384,385,386,387,388,389,391,392,393,394,
395,396,398,399,400,401,402,403,404,405,406,408,409,410,411,413,414,415,416,
417,419,420,421,422,423,424,425,426,428,430,431,432,434,435,436,437,438,439,
440,441,442,443,444,445,446,447,448,449,450,451,452,454,457,460,462,464,465,
466,467,468,469,471,472,473,474,476,478,479,480,481,483,486,487,488,491,492,
493,495,497,498,499,500,502,503,504,505,506,508,510,514,515,516,517,520,521,
524,526,527,528,529,530,533,536,537,538,539,540,541,544,545,546,547,549,550,
551,554,558,560,562,563,564,566,567,570,571,572,574,575,577,586,588,589,590,
591,592,593,594,595,596,597,599,600,601,602,604,605,606,609,610,611,612,613,
614,615,616,617,618,619,620,621,622,623,625,626,627,628,629,630,631,632,633,
636,638,639,640,641,642,643,644,645,647,649,650,651,652,653,656,661,663,665,
666,667,675,676,680,683,691,692,695,696,700,701,702,703,705,706,707,709,710,
712,713,714,716,718,719,720,722,723,728,729,730,734,735,736,739,741,742,743,
744,746,748,749,752,753,755,757,758,760,761,762,765,769,772,773,789,790,792,
793,795,798,800,801,803,807,810,814,815,822,825,831,832,834,851],[1,2,3,6,7,9,
10,11,12,14,15,17,18,19,20,21,25,35,37,40,41,42,43,44,45,46,48,49,50,51,57,59,
60,62,66,73,74,76,77,86,91,93,99,100,101,104,107,109,111,113,114,117,118,123,
124,125,130,135,138,145,147,157,160,162,165,178,180,192,196,198,199,202,203,
204,205,208,209,211,214,215,216,217,220,222,224,225,226,227,238,240,244,246,
247,248,251,256,265,268,270,271,298,300,316,321,323,325,329,333,335,337,344,
347,352,358,361,362,367,368,369,370,372,374,381,382,383,384,386,390,404,409,
413,419,423,424,429,433,437,439,443,445,453,464,465,466,467,468,471,473,474,
478,479,481,483,486,487,495,500,506,517,522,524,526,528,534,555,556,559,560,
569,572,574,586,588,590,591,597,599,606,607,617,618,623,624,639,644,646,647,
648,657,658,667,683,691,692,695,704,711,723,730,741,744,746,750,755,761,763,
769,779,792,796,797,803,811,814,820,822,836,852],[1,2,3,4,5,6,7,9,10,11,12,14,
15,17,18,19,21,22,23,25,26,27,28,29,30,31,32,33,34,36,37,38,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,66,67,68,70,71,72,74,76,
77,78,81,84,85,86,88,89,92,93,97,99,100,101,104,107,109,111,113,114,116,117,
118,120,121,122,123,124,125,126,127,128,129,130,131,134,136,137,138,139,140,
141,142,143,145,146,147,148,150,151,152,153,154,155,156,157,159,162,163,164,
165,166,167,168,169,170,171,173,174,175,176,177,179,182,184,187,189,190,192,
193,199,202,203,204,205,207,208,209,210,211,212,213,214,215,216,217,218,220,
221,222,223,224,225,226,227,228,229,230,231,235,236,238,239,240,243,244,245,
246,247,248,249,250,251,252,253,254,256,259,260,262,263,265,266,268,269,270,
271,272,274,279,281,283,284,287,291,293,294,295,296,298,299,302,304,307,308,
309,310,311,317,318,319,321,323,325,329,333,335,340,343,344,345,346,347,348,
349,350,351,352,353,354,355,356,357,358,360,361,362,363,365,367,368,369,370,
371,372,374,375,378,379,380,381,382,383,384,385,387,389,390,391,392,393,394,
395,396,398,399,400,401,402,403,404,405,406,408,409,410,411,412,413,414,415,
416,417,419,420,421,422,423,424,425,426,428,429,430,431,432,434,435,436,437,
438,440,441,442,443,444,445,446,447,448,449,450,451,452,454,460,461,462,464,
465,466,467,468,469,471,472,473,474,476,478,479,480,481,483,486,487,488,491,
492,493,495,497,498,499,500,502,503,504,505,506,508,510,515,517,518,523,524,
527,529,530,531,533,534,536,537,538,539,540,541,543,544,546,547,549,550,551,
554,555,556,558,560,562,564,565,567,568,569,570,571,572,574,577,586,588,589,
590,592,593,594,595,596,599,600,601,602,604,605,606,608,609,610,611,612,613,
614,615,616,617,618,619,620,621,623,625,626,627,628,629,630,631,632,633,634,
636,638,639,640,641,642,643,644,646,647,648,649,650,651,652,653,654,655,658,
659,661,665,672,674,680,683,691,692,695,696,700,701,703,704,706,707,710,712,
713,714,717,718,719,720,721,722,723,724,728,729,731,732,735,736,740,742,743,
744,746,748,749,750,752,753,755,757,758,760,761,765,767,769,772,775,780,789,
790,795,796,797,800,803,806,811,812,814,815,823,827,829,831,836,853],[1,4,5,6,
7,8,9,10,11,12,13,14,16,18,20,26,28,30,33,36,38,39,42,43,44,46,47,48,49,50,52,
53,54,55,56,58,59,61,62,63,64,65,67,68,69,70,71,72,73,80,87,94,97,98,99,100,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,123,126,128,129,137,
138,139,143,146,148,149,151,153,156,158,160,161,164,167,168,169,173,174,176,
180,181,182,183,186,199,200,201,203,206,207,210,211,212,213,214,216,217,218,
219,221,222,223,225,228,229,230,231,232,233,234,235,236,237,239,240,241,242,
243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,
262,263,264,266,267,269,270,272,273,275,282,294,296,300,302,303,305,306,312,
313,320,322,323,324,325,326,327,328,329,330,331,332,333,334,335,345,350,351,
353,354,357,360,361,364,367,369,371,372,377,381,385,386,387,388,389,393,394,
395,397,399,405,406,407,408,410,411,415,418,425,426,427,428,431,434,439,440,
444,446,447,449,451,455,457,462,463,464,465,468,469,470,472,475,476,477,478,
480,481,482,483,484,485,486,488,489,490,491,492,493,494,495,496,497,498,499,
500,501,502,503,504,505,514,521,526,528,532,538,541,545,548,550,551,562,563,
575,576,578,579,580,581,582,583,584,585,586,589,591,592,593,594,595,596,597,
598,600,604,605,606,610,613,618,619,622,626,628,629,632,633,637,645,649,652,
664,666,676,677,678,679,680,681,682,684,685,686,687,688,689,690,691,693,694,
695,696,697,698,702,703,705,709,712,713,716,730,734,737,741,743,745,746,749,
751,757,759,762,764,765,766,771,773,776,777,778,784,788,790,792,793,798,802,
804,810,818,819,830,832,838,842,846,854],[1,2,4,5,6,8,9,10,11,12,13,14,21,22,
23,24,29,30,35,36,38,39,40,42,47,48,49,50,52,53,54,55,56,57,58,59,60,61,63,64,
65,66,67,68,69,70,71,72,82,83,88,91,96,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,112,113,114,117,121,122,127,128,132,133,134,135,136,141,144,
146,149,151,152,156,163,164,165,167,170,172,173,174,175,177,178,191,200,201,
202,203,204,205,206,207,210,211,212,213,214,217,218,219,221,222,223,224,226,
227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,245,247,
248,249,250,252,253,254,255,256,257,258,259,260,261,262,263,264,266,267,269,
272,274,277,280,281,286,288,289,290,291,292,297,301,316,322,323,324,325,326,
327,328,329,330,331,332,333,334,335,343,345,346,348,349,350,351,353,354,356,
358,360,363,364,365,366,371,373,376,379,380,382,392,393,395,397,398,401,402,
403,404,405,407,409,410,411,414,415,420,421,423,427,433,444,448,453,456,458,
462,463,464,466,467,469,470,472,474,475,476,477,479,480,481,482,484,485,486,
488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,508,
509,510,512,519,522,525,533,535,542,546,553,558,559,573,578,579,580,581,582,
583,584,585,586,592,593,594,596,598,600,602,603,605,607,609,610,612,614,615,
616,624,625,633,635,636,637,639,640,641,642,644,662,669,670,677,678,679,680,
681,682,684,685,686,687,688,689,690,692,693,694,695,696,697,698,701,708,710,
711,714,715,725,726,733,737,747,748,751,752,755,756,757,759,760,763,764,770,
771,774,776,777,778,779,787,791,794,795,799,805,808,813,817,819,824,833,840,
843,845,855],[1,3,4,5,6,8,9,10,11,12,13,14,15,19,27,30,31,32,34,36,37,38,39,
41,42,45,47,48,49,50,51,52,53,54,55,56,58,59,61,63,64,65,67,68,69,70,71,72,77,
78,85,89,92,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,
115,116,119,120,128,130,131,140,142,146,147,149,150,151,154,155,156,157,159,
162,164,166,167,171,173,174,179,184,189,200,201,203,206,207,208,209,210,211,
212,213,214,215,217,218,219,220,221,222,223,228,229,230,231,232,233,234,235,
236,237,239,240,241,242,243,245,247,248,249,250,252,253,254,255,256,257,258,
259,260,261,262,263,264,265,266,267,268,269,271,272,276,278,284,285,287,298,
299,304,307,308,310,311,314,322,323,324,325,326,327,328,329,330,331,332,333,
334,335,345,350,351,353,354,355,359,360,362,364,370,371,374,375,378,390,391,
393,395,396,397,400,405,407,410,411,412,413,415,416,417,422,427,429,430,432,
435,436,437,438,441,442,444,450,452,454,459,461,462,463,464,469,470,471,472,
473,475,476,477,480,481,482,484,485,486,487,488,489,490,491,492,493,494,495,
496,497,498,499,500,501,502,503,504,505,506,513,515,518,523,531,537,539,543,
549,556,557,561,565,568,570,578,579,580,581,582,583,584,585,586,592,593,594,
596,598,600,601,605,608,610,611,617,620,621,623,627,630,631,633,634,637,638,
643,646,648,650,651,659,673,674,677,678,679,680,681,682,683,684,685,686,687,
688,689,690,693,694,695,696,697,698,704,717,721,724,728,731,732,735,736,737,
742,750,751,753,754,757,758,759,761,764,767,768,771,775,776,777,778,780,783,
785,786,800,806,809,811,812,816,819,821,827,837,839,844,856],[1,2,3,4,5,6,7,9,
10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,
37,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
66,67,68,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,
93,94,95,96,97,99,100,101,104,107,109,111,113,114,116,117,118,120,121,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,145,146,147,148,150,151,152,153,154,155,156,157,158,159,160,162,163,164,
165,166,167,168,169,170,171,173,174,175,176,177,178,179,180,181,182,184,185,
186,187,188,189,190,191,192,193,194,195,196,197,198,199,202,203,204,205,207,
208,209,210,211,212,213,214,215,216,217,218,220,221,222,223,224,225,226,227,
228,229,230,231,235,236,238,239,240,243,244,245,246,247,248,249,250,251,252,
253,254,256,259,260,262,263,265,266,268,269,270,271,272,274,277,279,280,281,
283,284,286,287,291,293,294,295,296,297,298,299,300,301,302,303,304,305,306,
307,308,309,310,311,313,316,317,318,319,320,321,323,325,329,333,335,336,337,
338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,
357,358,360,361,362,363,365,366,367,368,369,370,371,372,374,375,376,377,378,
379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,398,
399,400,401,402,403,404,405,406,408,409,410,411,412,413,414,415,416,417,419,
420,421,422,423,424,425,426,428,429,430,431,432,433,434,435,436,437,438,439,
440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,456,457,460,461,
462,464,465,466,467,468,469,471,472,473,474,476,478,479,480,481,483,486,487,
488,491,492,493,495,497,498,499,500,502,503,504,505,506,507,508,509,510,511,
512,514,515,516,517,518,519,520,521,522,523,524,526,527,528,529,530,531,533,
534,536,537,538,539,540,541,542,543,544,545,546,547,549,550,551,552,554,555,
556,558,559,560,562,563,564,565,566,567,568,569,570,571,572,573,574,575,577,
586,588,589,590,591,592,593,594,595,596,597,599,600,601,602,603,604,605,606,
607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,
626,627,628,629,630,631,632,633,634,635,636,638,639,640,641,642,643,644,645,
646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,663,665,666,
667,668,669,670,671,672,674,675,676,680,683,691,692,695,696,700,701,702,703,
704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,
723,724,725,726,728,729,730,731,732,733,734,735,736,738,739,740,741,742,743,
744,746,747,748,749,750,752,753,755,757,758,760,761,762,763,765,767,769,772,
773,774,775,779,780,781,782,787,789,790,792,793,794,795,796,797,798,800,801,
803,805,806,807,810,811,812,814,815,820,822,823,824,825,826,827,828,829,831,
832,834,835,836,847,848,849,850,851,852,853,857],[1,2,3,6,7,8,9,10,11,12,13,
14,15,16,17,18,19,21,24,25,37,40,41,42,43,44,45,46,48,49,50,51,57,59,60,62,65,
66,74,75,76,77,79,80,82,86,90,93,95,98,99,100,101,102,103,104,105,106,107,108,
109,110,111,112,113,114,115,117,118,119,123,124,125,130,132,133,138,144,145,
147,157,158,161,162,165,172,181,183,185,188,192,194,199,202,203,204,205,208,
209,211,214,215,216,217,220,222,224,225,226,227,237,238,240,244,246,247,248,
251,255,256,258,261,265,268,270,271,278,292,298,301,303,312,315,321,322,323,
324,325,326,327,328,329,330,331,332,333,334,335,341,344,347,352,358,359,361,
362,366,367,368,369,370,372,373,374,376,377,381,382,383,384,388,390,404,409,
413,418,419,423,424,429,437,443,445,464,465,466,467,468,471,473,474,475,477,
478,479,481,483,486,487,495,496,500,506,511,516,517,520,521,524,534,535,542,
548,552,555,556,560,561,566,569,572,574,578,579,580,581,582,583,584,585,586,
587,588,590,599,603,606,617,618,622,623,635,639,644,645,646,647,648,658,663,
671,683,685,689,690,691,692,695,698,704,709,715,723,727,737,744,745,746,747,
750,754,755,756,761,762,766,768,769,770,778,781,782,785,788,796,797,798,801,
803,805,807,811,813,814,816,817,818,825,826,835,836,837,841,842,843,847,858],[
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,
524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,
543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,
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]],
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],[1,3,1],[1,3,1],[1,1,1],[1,1,2,1],[1,2,1,1],[1,1,1],[1,2,1,1],[1,1,1,1,
1],[1,1,2,1],[1,3,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,2,1],[1,2,1,1],[1,1,2,1],[1,
1,1,1,1],[1,1,2,1],[1,1,1,1,1],[1,2,1,1],[1,1,1],[1,1,1],[1,3,1,1],[1,3,1,1],[
1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,
1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,3,
1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,
3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[
1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,2,1,2,1],[1,2,1,2,1,1,1,1],[1,2,1,
2,1,1],[1,2,1,2,1,1],[1,6,1,4,3,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1],[1,1,6,4,3,
1],[1,1,1,3,1,1,1,1,1,1,1,1,1,1],[1,6,1,3,4,1],[1,3,2,1,1,1,1],[1,1,1,1,3,1,1,
1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[1,2,2,1,2,1,1,1,4,1],[1,2,3,1,1,1,1],[1,2,2,2,
1,1,2,1,1,2,1],[1,2,1,1,2,1],[1,2,1,2,1,1,1,1],[1,2,1,1,2,1],[1,2,2,2,1,1,1,2,
1,2,1],[1,2,2,1,1,1,1,1],[1,2,3,1,1,1,1],[1,1,3,1],[1,3,2,1,1,1,1],[1,2,2,1,2,
1,2,1,2,1,1],[1,3,1,1],[1,1,3,1],[1,2,1,1,1],[1,2,1,1,1],[1,2,1,1,1],[1,1,1],[
1,4,1],[1,2,1,1,1],[1,1,1],[1,2,2,1],[1,1,3,1],[1,2,2,1],[1,2,1,1,1],[1,1,2,1,
1],[1,1,1],[1,2,2,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,4,3,1,3,1,
1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,4,1,1],[1,1,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,
3,1,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,3,1,3,1,3,1,1,
1,1],[1,4,3,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,1,3,3,1,3,1,1,1,1],[1,6,1,1,3,1,
2,1],[1,4,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,1,1,3,1],[1,7,1,3,2,1,1],[
1,1,2,1,1,2,1,1],[1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,3,4,
1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,
1],[1,1,2,1,1,2,1,1],[1,1,1,1,1,1,1,1,1,1],[1,3,4,1,1],[1,3,3,1,1,3,1,1,1,1],[
1,1,3,3,1,3,1,1,1,1],[1,7,1,3,2,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,3,1,1,3,1,1,1,
1],[1,1,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,2,1,1,
1,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,2,1,1,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,4,
3,1,3,1,1,1,1],[1,7,1,3,2,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,3,1,
1,3,1],[1,3,4,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,3,4,1,
3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,6,1,1,3,1,1,1,1],[1,2,1,1,1,1,2,1],[1,3,4,
1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,4,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,
1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,
1],[1,1,1,3,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,3,1,1],[1,3,1,1,3,1],[1,3,3,1,1,3,
1,1,1,1],[1,3,4,1,1],[1,1,3,3,1,3,1,1,1,1],[1,2,2,1,6,4,2,3,1,1,4,2,1,1,1,2,
1],[1,2,2,1,6,4,3,2,2,1,2,1,1,1,2,2,1,1],[1,2,2,1,2,1,1,1,4,4,1,2,1],[1,2,2,1,
2,4,1,1,1,1,1,1,1,1,1,1,1],[1,6,2,2,1,4,3,1,2,1,2,2,1,2,2,1,1,1],[1,2,2,2,1,2,
1,1,2,1,2,2,1,1,1,1],[1,6,2,2,1,3,2,1,4,1,2,2,1,2,1,1,2,1],[1,2,6,1,2,4,2,1,3,
1,4,2,1,1,1,2,1],[1,2,2,4,4,1,2,1,1,1,4,2,4,4,2,2,2,4,2,4,2,4,4,1,2,2,2,1],[1,
6,2,1,2,2,1,1,3,4,4,1,1,1,2,2,1],[1,2,2,2,1,2,1,2,1,1,2,2,1,1,1,1],[1,2,2,1,2,
1,1,1,4,4,1,2,1],[1,2,2,1,2,2,1,2,2,1,2,1,1,1,1,1],[1,2,2,1,2,1,1,4,1,4,2,1,
1],[1,3,2,2,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,2,1,1,3,1,1,1],[1,3,2,1,1,1,3,1,
1],[1,9,2,1,1,3,3,6,1,1],[1,1,2,2,2,2,1,1],[1,3,2,1,1,1,3,1,1],[1,9,2,1,1,3,3,
6,1,1],[1,1,2,2,2,1,1,1,1],[1,3,2,2,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,1,2,1,1,
3,1,1],[1,9,4,12,1,1],[1,3,2,1,1,1,3,1,1],[1,3,1,3,1,3,1,1],[1,9,2,2,6,6,1,
1],[1,9,2,2,6,6,1,1],[1,3,2,2,1,3,1,1],[1,9,1,2,1,3,3,6,1,1],[1,9,1,1,1,1,3,3,
3,3,1,1],[1,9,1,3,1,1],[1,1,2,2,2,2,1,1],[1,1,2,2,1,2,1,1,1],[1,9,2,1,1,3,3,6,
1,1],[1,9,2,2,6,3,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,2,1,3,1,1,1],[1,3,2,2,3,1,1,
1],[1,9,2,2,6,6,1,1],[1,1,2,1,1,1,1,2,1,1],[1,1,2,2,2,1,1,1,1],[1,1,1,2,1,1,2,
1,1,1],[1,3,2,2,3,1,1,1],[1,3,2,1,1,1,3,1,1],[1,9,1,3,3,9,1,1],[1,9,1,3,1,1],[
1,9,2,1,1,3,3,6,1,1],[1,9,2,2,6,3,3,1,1],[1,3,1,3,1,3,1,1],[1,3,2,2,3,1,1,1],[
1,9,2,2,3,6,3,1,1],[1,9,1,3,9,3,1,1],[1,9,2,1,1,3,3,6,1,1],[1,9,2,1,1,3,3,6,1,
1],[1,3,2,1,1,1,3,1,1],[1,3,1,2,1,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,
1],[1,9,2,2,6,6,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,3,1,1,1],[1,3,1,2,1,3,1,1,1],[
1,1,2,2,2,2,1,1],[1,3,2,2,3,1,1,1],[1,3,2,2,1,3,1,1],[1,9,1,2,1,3,6,3,1,1],[1,
3,2,1,1,1,3,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,9,3,1,3,9,1,1],[1,3,2,1,1,1,3,1,
1],[1,3,1,3,3,1,1,1],[1,1,2,1,1,1,2,1,1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,
1,1],[1,1,1,1,1,1,1,1,1,1,1,1],[1,9,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,
1],[1,3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,3,2,1,1,1,3,1,1],[1,9,2,2,6,6,1,
1],[1,3,2,2,1,3,1,1],[1,9,2,1,1,3,6,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,4,2,6,3,
1,3,6,1,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,6,4,
1,3,3,4,3,1,1],[1,3,2,1,1,1,1,2,3,1,1,1,1,1],[1,6,1,4,4,3,4,1,1,1],[1,3,1,5,3,
3,1,3,3,3,3,3,1,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,7,6,1,3,3,1,2,2,1,3,1,1,
1,1],[1,4,4,4,3,1,3,4,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,6,3,4,1,3,3,4,
3,1,1],[1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,7,2,1,
3,1,3,2,2,1,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,7,2,1,1,3,3,2,2,1,3,1,1,1,
1],[1,4,3,1,3,4,1,1,1,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,4,2,6,3,1,3,6,1,3,6,2,1,1,2,1,3,2,1,2,1,1,1],[1,
6,1,4,3,4,4,1,1,1],[1,3,1,1,7,3,1,3,3,3,3,3,1,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,
1],[1,2,6,3,4,1,3,6,1,6,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,3,5,3,1,1,3,3,
3,3,1,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,6,3,4,1,3,6,1,6,3,1,1,1,2,2,3,
1,1,2,2,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,12,3,1,10,9,3,1,3,3,3,3,1,1],[1,
4,2,6,3,1,3,3,6,1,6,1,2,1,1,2,3,1,2,1,2,1,1],[1,3,4,1,3,4,1,1,1,3,1,1,1,1],[1,
12,3,1,9,10,3,1,3,3,1,3,3,1],[1,4,4,3,4,1,3,4,3,6,3,1,1,1,1,1,1,1,3,1,1,1,1,1,
1,1,1],[1,3,12,1,10,9,3,3,1,3,3,3,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,6,7,1,
3,1,3,2,1,2,3,1,1,1,1],[1,6,3,1,1,3,3,3,2,3,1,1,1,1],[1,7,6,1,3,3,1,2,1,2,3,1,
1,1,1],[1,4,2,6,3,1,3,3,6,1,6,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,3,1,7,1,1,
3,3,1,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1,2,3,1,1,1,1,1],[
1,4,4,4,3,1,3,3,6,3,4,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,6,4,4,3,4,1,1,1],[
1,2,7,1,3,3,1,2,1,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,4,3,4,1,1],[1,4,3,
1,3,4,1,1,1,3,1,1,1,1],[1,1,3,1,7,3,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,
1,1,1],[1,1,3,5,3,3,1,3,1,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,1,3,
9,1,1,3,1,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,2,3,1,1,1,1,3,2,1,1,1,
1,1],[1,4,4,3,4,1,3,3,3,10,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,3,1,3,1],[1,
1,7,1,3,1,1,3,3,2,3,1,1],[1,1,3,1,3,1],[1,4,3,6,4,6,3,1],[1,6,1,1,1,3,1,2,3,3,
1,3,1,1],[1,4,1,1,1,1,1],[1,9,1,3,3,1,1],[1,2,4,2,3,2,2,2,1,1,2,1,4,1],[1,1,3,
1,3,1],[1,1,3,9,1,3,1],[1,1,1,1,1,1,1,1,1,1],[1,4,6,3,4,6,3,1],[1,6,4,3,2,1,1,
1],[1,3,4,6,4,3,6,1],[1,6,2,1,2,2,1,1,4,3,4,4,4,2,1,1,1,2,2,2,1,1,1,1],[1,2,6,
1,2,4,2,1,3,4,1,4,4,2,2,1,1,1,2,2,1,1,1,1],[1,2,2,1,6,4,2,3,1,1,4,4,4,2,1,1,1,
2,2,2,1,1,1,1],[1,6,2,4,4,1,2,2,1,1,3,4,2,4,4,4,2,2,2,4,2,4,2,4,1,4,1,4,4,1,2,
2,2,2,2,4,2,2,1,1,2,1,1],[1,2,6,4,4,1,2,4,2,1,3,1,4,2,4,4,2,2,2,4,2,4,2,4,2,1,
1,4,4,4,4,1,2,2,2,2,2,1,2,2,1,1,1],[1,6,6,1,6,4,4,6,3,3,3,4,12,6,3,3,1,3,1,1,
3,6,6,2,3,6,3,3,1],[1,2,2,4,4,1,6,4,2,3,1,4,1,4,2,4,4,2,2,2,4,2,4,2,2,2,1,1,4,
4,1,4,2,2,2,4,2,1,2,1,2,1,1],[1,3,12,2,1,1,9,4,3,1,6,3,3,1,3,3,1,1,1,1],[1,3,
9,3,2,2,9,6,6,1,3,1,3,1,3,3,1,1,1,1],[1,1,9,9,2,2,9,2,6,6,6,3,1,1,3,1,6,3,3,1,
1,1,1],[1,3,12,2,2,9,3,3,3,1,6,3,1,1,3,3,1,1,1,1],[1,3,3,1,2,2,3,1,2,3,3,1,2,
1,3,1,1,1,1,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,1,18,2,2,9,12,2,6,2,6,1,6,6,
1,2,1],[1,1,9,9,2,2,9,6,2,6,1,6,1,3,3,1,3,6,3,1,1,1,1],[1,1,9,9,1,1,1,1,9,1,1,
3,3,3,3,3,1,3,3,3,1,1,3,3,3,3,1,1,1,1],[1,9,3,3,2,2,9,6,1,3,1,6,3,1,3,3,1,1,1,
1],[1,1,9,9,1,2,1,9,3,3,1,6,3,6,2,1,3,1,3,3,6,1,1,1,1],[1,1,9,9,2,2,9,6,6,1,2,
3,6,1,3,1,6,3,3,1,1,1,1],[1,3,1,3,2,2,3,2,1,3,3,1,1,1,1,1,3,1,1,1,1],[1,3,1,3,
2,2,3,2,1,3,3,1,1,1,1,3,1,1,1,1,1],[1,3,9,3,2,2,9,1,1,6,3,3,3,3,1,3,3,1,1,1,
1],[1,6,9,2,1,1,9,1,3,3,3,6,1,3,1,3,3,1,1,1,1],[1,3,8,4,1,1,3,4,2,1,1,1],[1,1,
9,9,2,1,1,9,3,1,3,3,3,6,6,2,1,1,3,3,6,1,1,1,1],[1,9,6,2,2,9,6,2,6,6,1,6,2,1,
1],[1,6,9,2,1,1,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,3,12,2,2,9,6,3,3,1,1,3,3,1,
3,3,1,1,1,1],[1,3,9,3,1,3,9,1,1,3,9,3,3,1,3,3,1,1,1,1],[1,3,4,2,1,1,3,1,4,1,1,
3,2,1,3,1,1,1,1,1],[1,15,2,2,9,8,6,6,1,6,2,1,1],[1,9,6,2,2,9,6,2,6,6,1,6,2,1,
1],[1,9,2,2,9,6,6,1,1,1],[1,9,6,2,2,9,6,2,6,6,1,6,2,1,1],[1,10,9,2,2,9,6,6,6,
2,6,2,1,6,6,1,1,1,1],[1,1,9,9,2,1,1,9,1,3,3,1,3,6,6,2,3,1,3,3,6,1,1,1,1],[1,9,
10,2,2,9,6,6,2,6,6,2,1,6,6,1,1,1,1],[1,3,8,1,4,1,3,4,1,2,1,1],[1,6,9,2,2,9,2,
6,6,6,1,6,1,2,1],[1,1,2,2,3,2,2,1,3,1,1,1],[1,7,2,2,3,2,2,8,1,3,1,1,2,1],[1,7,
2,2,3,2,8,2,1,1,3,2,1,1],[1,3,1,3,2,2,3,1,3,1,3,2,1,1,1,3,1,1,1,1,1],[1,3,4,2,
2,3,1,2,1,3,1,1,3,1,3,1,1,1,1,1],[1,1,3,3,2,2,3,1,3,3,2,2,1,1,3,1,1,1,1,1],[1,
9,6,1,2,1,9,3,1,3,1,3,6,3,1,3,3,1,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,2,1,1],[1,9,
2,2,9,6,6,1,1,1],[1,3,3,9,2,2,9,1,6,3,6,3,1,1,3,3,1,1,1,1],[1,1,3,3,2,2,3,1,2,
1,3,1,3,1,1,3,1,1,1,1,1],[1,1,2,2,3,2,2,1,3,1,1,1],[1,3,9,3,2,2,9,1,1,3,6,3,3,
3,1,3,3,1,1,1,1],[1,15,2,2,9,8,6,6,1,6,2,1,1],[1,3,9,3,1,2,1,9,1,1,3,3,3,6,3,
1,3,3,1,1,1,1],[1,7,2,2,3,2,2,8,1,1,3,1,2,1],[1,1,3,3,2,2,3,1,2,2,3,1,3,1,3,1,
1,1,1,1],[1,3,3,9,2,2,9,1,3,3,1,6,3,3,1,3,3,1,1,1,1],[1,3,3,9,2,1,1,9,1,3,3,3,
1,3,6,1,3,3,1,1,1,1],[1,1,3,3,2,2,3,2,1,3,3,1,1,1,1,3,1,1,1,1,1],[1,3,3,9,2,2,
9,1,6,6,3,3,1,1,3,3,1,1,1,1],[1,3,3,9,2,2,9,1,1,3,3,6,3,3,1,3,3,1,1,1,1],[1,3,
9,3,2,1,1,9,1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,3,3,9,2,1,1,9,1,3,1,3,3,6,3,1,3,3,
1,1,1,1],[1,6,9,2,2,9,6,6,6,2,1,6,2,1,1],[1,9,1,9,2,2,9,6,6,2,1,6,1,3,3,1,3,6,
3,1,1,1,1],[1,9,1,9,2,2,9,2,6,6,3,6,1,1,3,1,6,3,3,1,1,1,1],[1,3,1,3,2,2,3,1,3,
2,3,1,1,1,1,3,1,1,1,1,1],[1,9,6,2,2,9,2,6,6,6,1,6,1,2,1],[1,6,9,2,2,9,6,6,6,2,
1,6,1,2,1],[1,3,3,9,2,2,9,1,6,6,3,1,3,1,3,3,1,1,1,1],[1,4,3,2,2,3,1,2,1,3,3,1,
1,1,1,3,1,1,1,1],[1,3,9,3,2,1,1,9,1,3,1,3,3,3,6,1,3,3,1,1,1,1],[1,3,3,1,2,2,3,
1,2,3,2,3,1,1,3,1,1,1,1,1],[1,10,9,2,2,9,6,6,6,2,6,2,1,6,6,1,1,1,1],[1,3,3,9,
2,1,1,9,1,3,3,3,1,3,6,1,3,3,1,1,1,1],[1,3,3,9,1,3,9,1,9,3,3,1,3,1,3,3,1,1,1,
1],[1,9,2,2,9,6,6,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,2,1,1],[1,3,3,9,2,2,9,1,6,3,
1,3,3,3,1,3,3,1,1,1,1],[1,3,3,9,1,2,1,9,1,3,3,3,3,6,1,1,3,3,1,1,1,1],[1,1,2,2,
2,1,2,4,2,2,2,1,2,2,1,2,1],[1,3,3,9,2,2,9,1,1,3,3,6,3,3,1,3,3,1,1,1,1],[1,3,8,
1,4,1,3,4,2,1,1,1],[1,1,3,3,2,2,3,1,3,1,2,3,2,1,1,3,1,1,1,1],[1,1,2,2,2,1,4,2,
2,2,2,1,2,2,1,2,1],[1,3,4,2,2,3,1,1,2,3,1,3,1,1,3,1,1,1,1,1],[1,3,3,9,2,1,1,9,
1,1,3,3,3,3,6,1,3,3,1,1,1,1],[1,6,9,2,2,9,6,6,6,2,1,6,2,1,1],[1,3,1,3,2,2,3,2,
1,2,3,1,3,1,3,1,1,1,1,1],[1,4,3,2,2,3,1,1,2,1,3,1,3,1,1,3,1,1,1,1],[1,18,1,2,
2,9,2,6,12,2,6,1,6,6,2,1,1],[1,3,9,3,2,1,1,9,3,1,1,3,3,3,6,1,3,3,1,1,1,1],[1,
6,9,2,2,9,2,6,6,6,1,6,2,1,1],[1,15,2,2,9,8,6,6,1,6,1,2,1],[1,3,4,2,2,3,1,2,1,
3,3,1,1,1,3,1,1,1,1,1],[1,1,3,3,1,2,1,3,1,3,1,1,3,2,1,1,1,3,1,1,1,1],[1,9,6,2,
2,9,2,6,6,6,1,6,1,2,1],[1,1,2,2,3,2,2,1,3,1,1,1],[1,12,3,2,2,9,1,6,3,1,3,3,3,
1,3,3,1,1,1,1],[1,3,12,2,2,9,1,3,6,3,3,1,3,1,3,3,1,1,1,1],[1,3,1,3,2,1,1,3,1,
3,1,1,3,2,1,1,1,3,1,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,3,4,2,1,1,3,1,1,
4,3,2,1,1,3,1,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,12,3,1,2,1,9,3,1,3,4,6,3,1,3,
3,1,1,1,1],[1,1,18,2,2,9,2,2,12,6,6,1,6,6,1,2,1],[1,3,12,2,2,9,1,3,3,3,6,3,1,
1,3,3,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,3,3,9,2,2,9,1,6,6,3,3,1,1,3,3,1,1,1,
1],[1,9,4,9,12,1,1,1],[1,2,1,2,2,1,2,2,4,2,2,1,2,2,2,1,1],[1,1,9,9,2,2,9,6,6,
1,2,3,6,1,3,1,6,3,3,1,1,1,1],[1,3,1,3,2,1,1,3,1,1,1,1,3,3,2,1,1,3,1,1,1,1],[1,
4,3,1,2,1,3,1,3,1,4,2,1,1,1,3,1,1,1,1],[1,3,4,2,2,3,1,1,3,1,2,3,1,1,3,1,1,1,1,
1],[1,12,3,2,2,9,1,6,3,3,3,1,3,1,3,3,1,1,1,1],[1,3,12,2,1,1,9,1,3,4,3,3,6,1,3,
3,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,6,6,1,6,4,
4,3,6,6,3,6,3,4,4,4,3,1,6,6,3,4,1,3,1,1,1,1],[1,12,2,6,3,1,9,6,1,10,3,6,4,2,3,
1,2,3,3,6,3,3,4,2,1,2,1,3,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,2,6,3,12,1,10,9,4,6,1,
6,3,3,3,1,2,2,3,3,4,6,3,3,1,2,2,3,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,6,6,6,1,4,3,6,
3,4,3,6,6,4,4,4,1,6,3,3,6,4,1,3,1,1,1,1],[1,6,6,6,1,4,4,3,3,6,3,6,6,4,4,4,1,6,
6,3,3,1,4,3,1,1,1,1],[1,4,4,6,10,3,4,1,3,3,3,10,4,10,10,6,4,6,12,4,10,6,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,10,12,3,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,12,2,6,3,
1,10,9,3,6,1,6,4,3,2,1,3,2,3,4,6,3,3,1,1,2,1,3,2,3,1,1,3,1,1,1,1,1,1,1,1],[1,
9,4,6,3,3,9,3,6,4,6,3,1,3,3,6,1,1],[1,9,1,3,9,3,9,9,1,3,9,3,1,1],[1,27,3,4,6,
54,27,36,4,3,6,9,18,12,1,1],[1,9,3,4,6,6,9,6,4,3,6,6,6,1,1,1],[1,9,2,4,2,3,2,
6,9,6,2,2,1,1,2,1,4,6,3,1,3,1,1],[1,3,4,3,6,1,6,6,4,6,3,2,3,2,1,1],[1,3,3,4,6,
1,6,6,4,3,6,2,2,3,1,1],[1,3,1,7,1,3,1,1,3,3,3,3,1,3,3,2,3,1,1,1,1,3,1,1,1],[1,
27,1,1,1,1,9,9,9,9,1,1,1,1,3,3,3,3,1,1],[1,3,2,4,2,3,2,1,6,6,2,2,1,1,2,1,4,1,
2,3,1,1,1],[1,27,2,4,2,3,2,18,18,9,18,36,9,9,2,2,1,1,2,1,4,12,3,6,3,3,6,6,1,
1],[1,3,4,6,3,1,6,6,4,6,3,3,2,2,1,1],[1,3,2,4,2,3,2,6,1,6,2,2,1,1,2,1,4,3,2,1,
1,1,1],[1,9,6,4,3,12,9,2,1,1,1,3,1,1],[1,1,2,4,2,3,2,2,2,1,2,4,1,1,2,2,1,1,2,
1,4,1,1,2,1,2,2,4,1,1],[1,9,6,1,1,1,3,1,3,3,3,3,9,2,3,3,1,3,1,3,3,1,3,3,1,1],[
1,3,2,4,2,3,2,6,1,6,2,2,1,1,2,1,4,1,2,1,3,1,1],[1,9,4,3,6,6,6,9,4,6,3,6,6,1,1,
1],[1,9,1,7,1,3,1,3,3,9,3,3,1,3,3,2,3,1,1,3,3,3,3,1,1],[1,27,2,4,2,3,2,27,18,
18,18,36,2,2,1,1,2,1,4,6,3,6,6,3,3,12,1,1],[1,9,1,3,9,3,1,3,1,3,1,1],[1,9,2,4,
2,3,2,6,6,9,2,2,1,1,2,1,4,3,6,3,1,1,1],[1,9,9,1,3,9,3,9,3,1,1,3,1,1],[1,9,1,3,
9,3,1,3,1,3,1,1],[1,27,4,3,6,54,27,36,4,6,3,18,12,9,1,1],[1,9,4,6,3,6,6,9,4,6,
3,6,1,6,1,1],[1,3,2,4,2,3,2,1,3,6,3,2,2,1,1,2,1,4,2,3,1,1,1,1],[1,3,6,1,1,1,3,
1,3,1,3,3,3,2,3,3,1,3,1,1,1,1,3,1,1,1],[1,27,6,1,1,1,3,1,9,9,9,9,27,54,2,3,3,
1,3,1,9,3,3,9,9,6,1,1],[1,3,4,3,6,1,3,3,6,4,6,3,1,2,3,1,1,1],[1,3,2,4,2,3,2,1,
6,3,3,2,2,1,1,2,1,4,3,1,1,2,1,1],[1,9,4,3,6,3,9,6,3,4,6,3,3,6,3,1,1,1],[1,9,1,
3,9,3,1,3,3,1,1,1],[1,27,1,7,1,3,1,27,9,9,9,63,1,3,3,2,3,1,9,6,9,9,3,3,1,1],[
1,9,1,3,9,9,3,9,1,3,3,1,1,1],[1,9,2,4,2,3,2,6,9,3,3,2,2,1,1,2,1,4,3,1,3,6,1,
1],[1,9,3,4,6,9,3,6,3,4,3,6,3,3,1,6,1,1],[1,9,2,4,2,3,2,9,3,6,3,2,2,1,1,2,1,4,
1,3,6,3,1,1],[1,27,4,6,3,54,27,36,4,6,3,18,12,9,1,1],[1,9,1,3,9,9,3,9,1,3,1,3,
1,1],[1,3,3,4,6,1,3,6,3,4,3,6,1,2,3,1,1,1],[1,3,4,6,3,1,3,6,3,4,6,3,2,1,3,1,1,
1],[1,3,2,4,2,3,2,1,6,3,3,2,2,1,1,2,1,4,3,2,1,1,1,1],[1,9,2,4,2,3,2,6,9,3,3,2,
2,1,1,2,1,4,1,3,6,3,1,1],[1,9,2,4,2,3,2,6,6,9,2,2,1,1,2,1,4,3,1,6,3,1,1],[1,6,
6,4,4,1,6,4,4,6,3,3,4,3,4,2,4,12,4,2,2,2,4,2,4,2,4,4,2,6,3,3,1,4,3,1,4,1,4,4,
4,3,4,2,2,6,2,2,6,4,2,4,2,3,2,1,6,2,2,2,3,1,3,2,1,2,1,1,1,1,1,1,1,1,1],[1,6,4,
12,9,2,2,9,12,3,9,18,1,6,6,1,3,2,6,3,2,6,3,1,3,1,9,1,6,3,3,3,6,3,3,1,3,3,3,3,
1,3,1,1,1,2,1,1,3,3,1,1,1,1,1,1,1,1],[1,7,18,2,2,3,9,3,2,12,2,6,8,6,9,1,6,6,3,
1,3,1,1,2,2,3,3,1,1,1,1],[1,10,2,18,9,2,2,9,18,1,9,18,4,6,6,6,12,2,6,6,2,2,2,
6,9,1,6,6,12,6,12,2,2,6,6,6,6,6,1,2,1,2,1,6,6,2,1,2,1,1,1],[1,9,4,27,12,9,1,1,
3,1],[1,15,6,2,2,9,9,9,2,8,6,6,6,9,1,6,6,2,1,2,1,1,1,1],[1,3,6,8,4,1,1,3,3,4,
6,3,3,4,2,1,3,3,1,4,1,3,1,1],[1,2,7,2,2,3,3,1,2,8,2,4,2,2,3,1,2,1,3,2,1,3,2,2,
1,1,3,1,1,1,1],[1,10,2,18,9,2,2,9,9,18,1,18,6,6,6,2,4,6,2,2,12,2,6,6,9,1,6,6,
6,12,2,6,6,2,12,6,6,6,1,1,2,2,1,6,6,2,1,2,1,1,1],[1,6,9,6,2,2,9,9,9,6,2,6,6,6,
2,9,1,6,6,2,1,2,1,1,1,1],[1,6,9,6,2,2,9,9,9,2,6,2,6,6,6,9,1,6,6,2,2,1,1,1,1,
1],[1,15,6,2,2,9,9,9,2,8,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,15,6,2,2,9,9,9,8,6,6,
6,2,9,1,6,6,2,1,2,1,1,1,1],[1,9,10,2,2,18,9,6,6,2,6,6,2,9,1,6,6,1,1,1,1,2,1],[
1,9,22,2,2,24,27,6,10,14,6,6,2,9,1,18,6,14,6,4,1,1,1,6,2,1,2,2,1],[1,10,9,2,2,
9,6,6,6,6,2,6,2,9,1,6,6,6,2,1,1,1,6,1,2,1],[1,7,2,2,2,3,1,3,2,2,4,8,2,2,3,1,3,
2,1,2,1,3,1,2,2,1,3,1,1,1,1],[1,6,9,6,2,2,9,9,9,2,6,2,6,6,6,9,1,6,6,2,1,2,1,1,
1,1],[1,3,18,8,1,4,1,9,9,6,12,3,24,9,4,3,1,2,1,3,4,6,3,3,1,1],[1,9,10,2,2,9,
18,6,6,2,6,6,2,9,1,6,6,1,1,1,1,2,1],[1,3,3,3,21,1,2,2,9,3,3,9,9,9,9,1,1,2,3,3,
3,6,1,12,2,3,6,1,9,1,3,3,6,3,3,1,3,3,3,6,3,3,1,3,1,1,1,2,1,1,3,3,1,1,1,1,1,1,
1,1],[1,9,10,2,2,9,6,6,6,2,6,6,2,9,1,6,6,6,2,1,1,1,6,1,2,1],[1,3,3,1,15,9,2,2,
3,9,9,9,9,3,9,1,6,3,6,1,6,2,3,3,1,6,1,3,2,9,1,3,3,3,6,6,3,3,3,3,3,3,1,1,3,1,1,
2,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,3,1,5,3,3,2,2,3,3,3,3,3,1,3,1,2,1,4,2,2,3,3,1,
1,3,2,3,3,1,3,1,1,3,3,2,3,3,3,2,1,1,1,1,1,1,2,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,7,
18,2,2,3,9,3,2,2,8,12,6,6,9,1,6,3,1,6,1,3,1,2,2,3,3,1,1,1,1],[1,18,3,8,1,4,1,
9,9,3,6,12,24,9,4,3,2,3,1,1,4,6,3,3,1,1],[1,6,4,12,9,2,1,1,9,12,3,9,18,1,4,1,
3,3,1,4,3,3,6,1,6,3,2,3,9,1,3,4,3,6,3,3,3,1,3,3,3,3,6,1,1,1,1,1,1,1,3,3,1,1,1,
1,1,1,1,1],[1,10,9,2,2,18,9,6,6,6,2,6,2,9,1,6,6,1,1,1,2,1,1],[1,12,3,8,1,4,9,
10,3,1,12,3,3,4,1,3,2,3,1,4,3,1,1,1],[1,3,1,3,21,3,2,2,9,3,9,9,9,3,9,1,2,1,2,
12,3,3,1,1,3,3,6,6,9,1,6,3,3,1,3,3,3,3,6,3,3,3,3,1,1,2,1,1,1,1,3,3,1,1,1,1,1,
1,1,1],[1,6,4,12,9,2,1,1,9,9,18,3,12,1,1,1,3,3,4,3,3,4,3,3,6,6,2,1,9,1,3,3,4,
3,3,6,3,3,3,3,6,1,3,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,4,12,9,6,1,2,1,9,12,
3,18,9,1,3,1,3,1,3,3,4,6,4,3,6,2,1,3,9,1,3,1,3,3,3,4,3,6,3,3,3,6,3,1,1,1,1,1,
1,1,3,3,1,1,1,1,1,1,1,1],[1,6,4,12,9,2,2,9,9,18,3,12,1,2,6,6,6,1,3,2,3,6,3,1,
3,1,9,1,6,3,6,3,3,3,3,3,3,3,1,3,1,3,2,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,3,3,5,
3,1,2,2,3,3,3,3,1,3,3,1,1,2,3,2,3,4,3,1,2,3,2,1,3,1,3,3,3,3,1,3,2,3,1,2,1,1,1,
1,1,2,1,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,6,6,9,10,2,2,9,6,9,18,9,2,6,6,2,6,6,6,2,
6,2,9,1,6,6,6,6,6,6,6,2,1,2,1,2,1,6,1,2,1,2,1,1],[1,22,9,2,2,27,24,10,6,6,2,6,
14,9,1,6,6,14,18,1,4,1,1,6,2,2,2,1,1],[1,15,6,2,2,9,9,9,8,6,6,6,2,9,1,6,6,1,2,
2,1,1,1,1],[1,3,3,7,9,9,2,2,9,3,9,9,9,3,9,2,1,6,3,6,1,2,3,3,1,6,6,1,3,9,1,3,3,
6,3,3,6,3,3,3,1,3,3,1,3,1,1,1,1,2,1,3,3,1,1,1,1,1,1,1,1],[1,6,15,2,2,9,9,9,2,
8,6,6,6,9,1,6,6,2,2,1,1,1,1,1],[1,6,4,12,9,2,2,9,12,3,9,18,1,6,2,6,1,6,3,6,1,
2,1,3,3,3,9,1,6,3,3,3,3,3,6,1,3,3,3,3,3,1,1,2,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,
1,3,5,3,3,2,2,3,1,3,3,3,3,3,1,4,1,3,1,3,3,2,3,2,2,2,1,3,1,1,3,1,1,2,2,3,3,1,3,
1,3,3,1,1,2,1,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,3,12,8,1,4,10,9,3,3,1,12,3,4,3,3,
2,1,1,4,1,3,1,1],[1,6,4,12,9,2,2,9,9,18,3,12,1,2,2,6,6,6,3,6,3,3,1,1,1,3,9,1,
6,6,1,3,3,3,3,3,3,3,3,3,1,3,1,1,1,1,1,2,3,3,1,1,1,1,1,1,1,1],[1,4,12,9,6,2,2,
9,12,3,18,9,1,6,2,2,6,1,6,3,1,6,1,3,3,3,9,1,1,3,6,3,3,3,3,6,3,3,3,3,1,3,1,1,1,
2,1,1,3,3,1,1,1,1,1,1,1,1],[1,2,18,9,10,2,2,9,18,1,18,9,6,6,2,6,6,2,4,6,12,2,
2,6,9,1,6,6,6,12,12,6,2,6,6,2,6,6,1,2,2,1,1,6,6,2,1,1,1,2,1],[1,10,9,2,2,18,9,
6,6,6,2,6,2,9,1,6,6,1,1,1,1,2,1],[1,3,6,8,1,4,3,1,3,6,4,3,3,4,1,3,3,2,1,4,3,1,
1,1],[1,3,9,7,9,3,2,2,9,3,9,9,3,9,9,2,6,6,1,2,1,6,3,1,3,1,6,3,3,9,1,3,1,3,3,6,
3,3,3,3,1,3,3,6,3,1,1,1,1,2,1,3,3,1,1,1,1,1,1,1,1],[1,6,6,9,2,2,9,9,9,2,6,6,6,
6,2,9,1,6,6,2,1,2,1,1,1,1],[1,22,9,2,2,24,27,10,6,6,2,6,14,9,1,6,14,18,6,1,1,
1,4,6,1,2,2,2,1],[1,3,18,8,4,1,1,9,9,3,6,12,24,9,4,2,3,1,3,1,4,3,3,6,1,1],[1,
10,6,6,9,2,2,9,6,9,9,18,2,6,6,6,6,6,2,6,2,2,9,1,6,6,2,6,6,6,6,6,1,1,1,2,2,6,1,
2,1,1,2,1],[1,10,9,2,2,9,18,6,6,6,2,6,2,9,1,6,6,1,1,1,1,2,1],[1,10,6,9,6,2,2,
9,9,9,24,6,2,6,6,2,6,2,6,6,2,9,1,6,2,6,6,6,6,6,6,1,2,1,1,2,6,2,1,1,2,1,1],[1,
12,3,8,4,1,10,9,3,1,3,12,3,4,2,1,3,3,1,4,3,1,1,1],[1,4,12,9,6,2,2,9,12,3,18,9,
1,2,6,2,6,3,6,3,3,6,1,1,1,3,9,1,1,6,3,6,3,1,3,3,3,3,3,3,3,3,1,2,1,1,1,1,3,3,1,
1,1,1,1,1,1,1],[1,6,15,2,2,9,9,9,8,6,6,6,2,9,1,6,6,2,2,1,1,1,1,1],[1,9,3,1,15,
3,2,2,9,9,3,9,9,3,9,2,6,1,3,1,6,6,3,6,3,1,1,2,3,9,1,6,3,1,3,3,3,1,3,3,3,3,6,3,
3,1,1,1,1,2,1,3,3,1,1,1,1,1,1,1,1],[1,10,9,2,2,9,18,6,6,6,2,6,2,9,1,6,6,1,1,1,
1,2,1],[1,6,9,6,2,2,9,9,9,2,6,2,6,6,6,9,1,6,6,2,2,1,1,1,1,1],[1,3,9,1,15,3,2,
2,3,9,3,9,9,9,9,6,6,1,2,1,6,6,3,2,1,3,1,3,3,9,1,3,3,3,3,6,3,3,3,6,3,3,3,1,1,1,
1,1,1,1,2,3,3,1,1,1,1,1,1,1,1],[1,10,9,2,2,9,6,6,6,6,2,6,2,9,1,6,6,6,2,1,1,1,
6,1,2,1],[1,6,6,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,2,1,2,1,1,1,1],[1,10,6,6,9,2,
2,9,9,18,9,6,2,6,6,6,2,6,2,6,2,6,9,1,6,6,6,6,6,6,6,2,1,1,2,1,2,6,1,2,2,1,1,
1],[1,1,3,3,21,3,2,2,3,3,9,9,9,9,9,1,1,3,1,3,12,3,2,6,3,2,1,6,9,1,1,6,3,6,3,3,
1,3,3,3,3,3,3,3,1,1,2,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,6,10,9,6,2,2,9,9,9,24,6,6,
6,2,2,6,2,6,2,6,9,1,6,6,6,2,6,6,6,6,1,1,2,2,1,6,2,1,1,1,2,1],[1,7,2,2,2,1,3,3,
4,2,2,8,2,2,3,1,3,1,2,3,2,1,1,2,2,3,1,1,1,1,1],[1,6,6,9,10,2,2,9,9,9,24,2,6,6,
2,6,6,6,6,2,2,9,1,6,6,6,6,6,6,6,2,2,1,2,1,1,6,2,1,2,1,1,1],[1,18,7,2,2,3,3,9,
2,8,6,12,2,6,9,1,6,1,3,6,1,3,2,2,1,3,3,1,1,1,1],[1,6,3,8,1,4,1,3,3,4,3,6,3,4,
3,2,3,1,1,4,1,3,1,1],[1,9,3,7,9,3,2,2,9,9,9,9,3,3,9,2,2,6,1,3,1,6,6,3,6,3,1,1,
3,9,1,6,3,1,3,3,3,6,3,3,3,3,1,3,3,1,1,1,1,2,1,3,3,1,1,1,1,1,1,1,1],[1,18,1,7,
1,3,9,1,6,1,3,3,9,2,9,3,9,3,1,1,3,2,1,6,1],[1,4,6,9,3,4,6,6,3,3,2,1,1,1],[1,9,
4,3,6,3,4,6,3,3,3,1,1,1,1,1],[1,3,4,6,9,4,6,3,3,6,2,1,1,1],[1,1,7,1,3,1,1,3,3,
3,2,3,3,3,1,1,1,1,6,1,3,1],[1,9,3,4,6,3,4,3,3,6,3,1,1,1,1,1],[1,9,4,6,3,3,4,6,
3,3,3,1,1,1,1,1],[1,4,3,6,9,4,6,3,3,6,1,2,1,1],[1,4,16,4,12,4,16,24,24,8,6,6,
24,6,16,16,4,12,4,4,1],[1,6,6,1,6,16,4,4,6,3,3,3,4,12,16,6,3,3,1,3,1,1,3,6,6,
2,4,4,4,3,6,3,3,4,4,4,8,1,1],[1,3,3,9,2,4,2,3,2,9,1,6,6,6,6,6,1,9,6,2,2,1,1,2,
1,4,3,9,3,3,2,1,2,3,3,1,1,6,3,1,1,1,1,3,3,1,1,1,1],[1,3,9,3,2,4,2,3,2,9,1,6,1,
6,3,6,9,3,6,3,3,2,2,1,1,2,1,4,9,3,3,1,2,3,3,1,1,3,3,1,6,1,2,1,3,1,3,1,1,1,1],[
1,9,9,9,2,4,2,3,2,27,6,6,6,6,9,6,9,6,9,2,2,1,1,2,1,4,9,9,9,6,3,1,3,3,1,3,6,3,
6,1,3,1,3,3,3,1,1,1,1],[1,9,3,4,6,9,6,9,6,4,3,6,9,6,6,1,1,1,1,1],[1,3,9,27,3,
4,6,27,1,54,27,9,3,36,3,6,6,3,3,4,3,6,9,9,9,18,1,2,9,18,3,3,12,3,1,1,6,1,3,3,
6,3,1,1,1,1],[1,3,9,27,2,4,2,3,2,27,1,27,6,18,18,18,3,6,9,36,3,3,3,2,2,1,1,2,
1,4,9,18,9,9,6,3,6,6,1,3,3,6,3,3,3,1,12,1,2,1,3,6,3,3,1,1,1,1],[1,3,9,27,1,7,
1,3,1,27,1,3,27,3,9,9,9,3,3,9,3,63,3,3,3,1,3,3,2,3,1,9,9,9,9,9,9,1,6,1,1,9,1,
9,3,3,3,3,3,3,3,1,1,3,3,3,3,3,1,1,1,1],[1,3,9,3,2,4,2,3,2,9,1,6,6,1,6,9,6,3,3,
3,3,2,2,1,1,2,1,4,9,3,3,3,2,1,1,2,3,6,1,1,3,3,1,1,1,3,3,1,1,1,1],[1,3,9,27,2,
4,2,3,2,27,1,27,18,18,18,3,9,6,3,36,6,3,3,2,2,1,1,2,1,4,18,9,9,9,6,2,3,6,3,6,
1,1,3,3,3,6,3,12,1,1,3,3,6,3,1,1,1,1],[1,9,3,4,6,27,6,9,6,4,3,6,9,6,6,1,1,3,1,
1],[1,9,9,9,1,3,9,27,3,9,9,9,3,3,9,9,9,1,3,9,9,9,9,3,1,3,1,3,1,3,3,1,1,1,1],[
1,9,3,3,2,4,2,3,2,9,6,1,6,6,1,6,9,6,6,2,2,1,1,2,1,4,9,3,3,6,1,2,1,3,2,3,1,3,1,
3,1,1,3,1,3,1,1,1,1],[1,1,27,27,2,4,2,3,2,27,2,27,2,18,18,18,1,18,18,2,9,36,
18,36,4,1,1,9,9,2,2,1,1,2,1,4,18,18,9,18,9,9,36,6,1,3,6,12,1,6,3,2,1,2,6,3,3,
3,3,6,12,2,4,6,1,3,3,12,6,3,6,6,1,1,1,1],[1,3,3,9,2,4,2,3,2,9,1,6,1,6,6,9,3,6,
3,3,3,2,2,1,1,2,1,4,3,9,3,3,1,2,2,3,1,1,3,6,3,1,1,1,3,3,1,1,1,1,1],[1,9,6,4,3,
6,9,2,6,6,6,6,9,12,4,6,3,9,6,6,2,4,6,1,6,2,1,6,1,1,2,1],[1,15,4,3,6,9,8,12,6,
21,4,6,3,9,6,4,6,6,10,1,1,1,6,2,1,1],[1,36,3,2,4,2,3,2,27,6,1,18,18,9,12,24,6,
36,12,9,2,2,1,1,2,1,4,18,9,18,1,12,3,2,6,3,4,1,3,6,3,3,6,6,1,3,3,6,3,1,1,1,
1],[1,3,9,27,2,4,2,3,2,27,1,6,27,18,18,18,6,9,3,36,3,3,3,2,2,1,1,2,1,4,18,9,9,
9,6,3,2,3,6,6,3,1,1,3,3,3,1,12,6,1,3,3,3,6,1,1,1,1],[1,27,12,2,4,2,3,2,27,27,
6,6,7,18,18,18,36,15,2,2,1,1,2,1,4,18,27,6,3,4,6,6,2,6,4,3,3,3,12,1,1,3,3,3,6,
1,1,1,1],[1,9,4,3,6,9,6,6,9,4,6,3,9,6,6,1,1,1,1,1],[1,9,4,6,3,9,6,6,9,4,6,3,9,
6,1,6,1,1,1,1],[1,9,18,4,3,6,27,6,6,18,6,12,9,6,4,6,3,9,18,6,6,1,6,12,6,2,1,6,
3,1,2,1],[1,3,9,27,4,3,6,27,1,3,54,27,3,3,9,36,6,6,3,4,6,3,9,9,9,18,18,1,2,3,
12,9,3,6,3,1,1,1,3,3,6,3,1,1,1,1],[1,3,3,9,4,6,3,9,1,1,6,3,6,3,9,3,6,6,3,4,6,
3,3,9,3,2,3,1,3,1,3,6,3,2,2,1,1,3,1,3,1,1,1,1],[1,9,6,2,4,2,3,2,9,2,6,6,6,6,9,
6,3,3,2,2,1,1,2,1,4,9,6,6,2,3,3,1,3,3,1,1,2,2,1,3,1,3,1,1,1,1],[1,3,9,3,3,4,6,
9,1,1,6,9,3,3,6,6,6,3,3,4,3,6,3,9,3,2,1,2,3,3,2,3,3,1,1,6,1,1,3,3,1,1,1,1],[1,
3,3,9,2,4,2,3,2,9,1,6,3,9,6,3,1,6,6,3,3,2,2,1,1,2,1,4,9,3,3,3,2,1,3,1,1,3,6,3,
1,1,2,1,3,3,1,1,1,1,1],[1,3,36,2,4,2,3,2,27,18,24,9,6,12,1,18,36,6,9,12,2,2,1,
1,2,1,4,18,18,9,3,2,12,3,1,3,6,4,1,3,3,6,6,6,1,6,3,3,3,1,1,1,1],[1,9,3,27,2,4,
2,3,2,27,1,6,6,18,18,9,9,6,18,36,3,3,9,9,2,2,1,1,2,1,4,18,9,9,9,6,3,2,12,3,3,
1,6,3,3,3,1,1,6,6,1,3,6,3,3,1,1,1,1],[1,12,27,2,4,2,3,2,27,6,7,27,15,18,18,18,
6,36,2,2,1,1,2,1,4,27,18,6,4,2,3,1,6,3,6,3,3,12,6,4,1,6,3,3,3,1,1,1,1],[1,27,
12,3,4,6,27,54,7,15,6,27,36,6,4,3,6,27,18,8,9,18,6,12,2,3,1,1,6,3,6,1,1,1,1],[
1,1,9,9,2,4,2,3,2,9,2,6,6,2,1,9,2,3,6,9,4,1,1,3,2,2,1,1,2,1,4,6,9,3,3,1,3,1,2,
1,2,1,6,3,3,6,3,2,4,1,1,3,3,6,1,1,1,1,1],[1,9,3,27,2,4,2,3,2,27,1,6,6,9,6,3,
18,18,9,18,36,3,9,9,2,2,1,1,2,1,4,9,18,9,9,3,1,12,3,3,6,3,3,1,6,1,6,2,3,6,1,3,
3,3,6,1,1,1,1],[1,9,18,4,6,3,27,6,6,9,6,18,6,12,4,6,3,9,18,6,1,2,6,6,12,6,1,6,
3,2,1,1],[1,27,3,4,6,27,18,27,18,4,3,6,27,18,18,3,1,9,3,1],[1,12,27,4,6,3,27,
7,6,54,6,27,15,36,4,6,3,18,27,6,1,3,18,12,9,8,2,1,6,3,6,1,1,1,1],[1,9,4,3,6,
27,6,6,9,4,6,3,9,6,6,1,1,3,1,1],[1,3,3,9,2,4,2,3,2,9,1,3,6,9,6,6,1,6,3,3,3,2,
2,1,1,2,1,4,9,3,3,3,2,2,3,1,1,3,1,6,1,3,1,1,3,3,1,1,1,1,1],[1,3,27,9,2,4,2,3,
2,27,1,6,6,3,18,18,6,9,18,9,36,3,9,9,2,2,1,1,2,1,4,18,9,9,9,2,3,12,3,3,6,3,3,
6,1,3,6,1,1,6,1,3,3,6,3,1,1,1,1],[1,3,3,9,2,4,2,3,2,9,1,1,6,6,3,6,9,6,3,3,3,2,
2,1,1,2,1,4,9,3,3,1,2,2,3,3,3,1,1,3,6,1,1,1,3,3,1,1,1,1,1],[1,6,9,3,4,6,9,2,6,
9,6,6,12,6,4,3,6,6,9,6,2,4,6,6,2,1,1,1,6,1,2,1],[1,6,9,2,4,2,3,2,9,2,6,6,6,6,
3,9,6,3,2,2,1,1,2,1,4,6,9,3,2,3,3,6,1,3,2,1,2,1,1,3,3,1,1,1,1,1],[1,3,4,2,4,2,
3,2,3,1,2,1,6,8,6,4,2,4,4,1,2,2,1,1,2,1,4,6,6,1,1,1,2,3,1,2,4,2,1,2,4,1,2,1,1,
3,1,2,1,1,1,1,1],[1,9,6,4,6,3,9,2,6,6,6,9,12,6,4,6,3,9,6,6,4,1,2,6,6,2,1,1,6,
1,2,1],[1,18,9,2,4,2,3,2,27,6,6,6,6,18,3,9,3,6,2,2,1,1,2,1,4,18,9,3,1,6,1,6,6,
3,3,3,6,1,1,3,3,3,1,1,1,1],[1,3,9,27,4,6,3,27,1,54,3,27,3,9,3,36,6,6,3,4,6,3,
9,9,9,18,2,18,1,12,3,1,9,3,6,3,1,1,3,3,3,6,1,1,1,1],[1,9,4,6,3,27,6,6,9,4,6,3,
9,6,1,6,1,3,1,1],[1,27,4,3,6,27,18,18,27,4,6,3,27,18,18,3,1,9,3,1],[1,9,18,2,
4,2,3,2,27,6,6,18,9,3,6,6,6,3,2,2,1,1,2,1,4,9,18,6,1,3,1,3,3,1,6,3,6,6,1,3,3,
3,1,1,1,1],[1,3,27,9,6,1,1,1,3,1,27,3,1,3,3,3,3,9,9,3,3,9,9,27,9,3,54,2,3,3,1,
3,1,9,9,9,9,9,1,1,9,3,1,3,3,9,9,3,1,6,3,3,3,1,1,3,3,3,3,3,1,1,1,1],[1,3,36,2,
4,2,3,2,27,1,6,6,24,18,9,9,18,36,12,12,2,2,1,1,2,1,4,18,18,9,1,2,12,3,4,3,6,3,
3,6,3,6,1,6,1,3,3,3,6,1,1,1,1],[1,12,27,4,3,6,27,7,54,27,6,36,6,15,4,6,3,18,
27,2,18,3,6,8,1,12,9,1,6,6,3,1,1,1,1],[1,9,1,9,2,4,2,3,2,9,2,6,2,1,6,9,2,9,3,
6,4,1,1,3,2,2,1,1,2,1,4,6,9,3,3,6,1,1,3,1,2,1,2,3,1,3,3,2,6,4,1,3,1,3,6,1,1,1,
1],[1,3,4,2,4,2,3,2,3,1,8,2,1,2,6,1,6,4,4,4,2,2,1,1,2,1,4,6,6,1,3,2,4,2,1,1,2,
1,2,1,1,1,2,4,1,2,1,3,1,1,1,1,1],[1,3,3,9,4,3,6,9,1,3,1,3,3,9,6,6,6,6,3,4,6,3,
3,9,3,2,3,1,2,2,3,3,6,3,1,1,1,3,1,3,1,1,1,1],[1,9,6,2,4,2,3,2,9,2,6,6,6,9,3,6,
3,6,2,2,1,1,2,1,4,9,6,3,3,2,2,1,3,2,1,1,6,3,1,3,1,3,1,1,1,1],[1,12,27,2,4,2,3,
2,27,6,27,18,18,18,15,36,7,6,2,2,1,1,2,1,4,27,18,6,6,3,2,3,6,6,4,1,4,3,3,12,1,
6,3,3,3,1,1,1,1],[1,15,3,4,6,9,8,21,6,12,4,3,6,6,9,10,6,4,6,1,1,6,1,1,2,1],[1,
15,4,6,3,9,8,6,12,21,4,6,3,6,9,6,1,6,10,4,1,6,1,2,1,1],[1,3,9,3,2,4,2,3,2,9,6,
6,6,9,1,6,1,6,6,2,2,1,1,2,1,4,3,9,3,3,2,3,1,1,2,1,1,1,3,6,3,1,1,3,3,1,1,1,1],[
1,27,4,6,3,27,18,18,27,4,6,3,27,18,3,18,1,9,3,1],[1,18,9,3,4,6,27,6,9,6,18,6,
12,6,4,3,6,9,18,6,6,6,6,2,12,1,1,3,6,1,2,1],[1,9,1,9,2,4,2,3,2,9,6,2,6,9,2,1,
6,9,2,4,1,1,3,3,2,2,1,1,2,1,4,3,6,9,3,1,3,1,1,1,2,1,2,3,6,3,2,4,6,3,1,3,3,1,6,
1,1,1,1],[1,9,18,2,4,2,3,2,27,6,6,9,6,18,6,6,3,3,2,2,1,1,2,1,4,9,18,3,1,3,1,1,
6,6,3,6,6,3,1,3,3,3,1,1,1,1],[1,4,3,2,4,2,3,2,3,1,2,6,1,2,4,8,6,4,1,4,2,2,1,1,
2,1,4,1,6,6,1,2,1,4,2,2,1,2,1,1,3,2,4,1,1,1,1,3,2,1,1,1,1],[1,6,10,8,24,9,6,2,
2,9,9,9,24,6,24,24,18,6,18,36,10,24,18,2,6,6,6,2,2,4,6,2,2,12,6,6,2,2,6,2,6,6,
6,24,36,9,18,18,18,1,6,6,6,6,6,2,2,6,6,6,6,6,12,6,2,6,6,6,6,6,6,6,6,2,12,6,2,
6,6,6,6,6,6,6,6,2,2,6,6,2,9,1,1,2,2,2,2,2,1,2,6,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
2,2,2,2,1,2,1,2,2,2,2,2,2,1,1,2,2,1,2,1,1,6,1,2,2,2,2,2,2,1,1,1],[1,6,10,9,6,
2,2,9,9,9,24,24,6,6,6,2,2,6,2,6,2,6,9,18,1,6,6,6,6,2,6,6,6,6,2,9,1,1,2,2,1,6,
6,2,1,1,2,2,1,2,1,1,1,1],[1,10,2,18,9,2,2,18,9,9,18,1,18,18,6,6,6,2,4,6,2,2,
12,2,6,6,9,9,9,1,6,6,6,12,2,6,6,2,12,6,6,6,9,1,1,2,2,1,6,6,2,2,1,2,2,1,1,1,1,
1,1],[1,2,18,9,10,2,2,18,9,18,18,1,18,9,6,6,2,6,6,2,4,6,12,2,2,6,9,9,9,1,6,6,
6,12,12,6,2,6,6,2,6,6,9,1,2,2,1,1,6,6,2,1,2,1,2,1,2,1,1,1,1],[1,10,6,9,6,2,2,
9,9,9,24,24,6,2,6,6,2,6,2,6,6,2,9,18,1,6,2,6,6,6,6,6,6,6,2,9,1,2,1,1,2,6,6,2,
1,1,2,2,1,2,1,1,1,1],[1,6,22,9,6,2,2,24,18,9,27,9,24,10,6,6,2,2,6,14,6,2,6,18,
9,9,9,18,1,6,6,6,2,6,6,6,14,18,6,9,1,1,2,2,1,4,6,6,2,1,2,1,2,2,1,2,2,2,1,2,1,
1,1],[1,22,2,18,9,2,2,24,27,9,18,1,18,6,10,6,6,2,4,6,14,2,12,2,6,6,9,6,18,9,9,
1,6,6,6,6,12,2,14,6,6,2,12,18,2,6,6,6,9,1,1,2,2,1,4,2,6,6,6,6,6,6,6,2,1,2,2,2,
2,1,2,1,6,1,2,2,1,1,1],[1,10,6,6,9,2,2,18,9,6,9,9,18,6,2,6,6,6,6,6,2,6,2,2,9,
9,9,1,6,6,6,2,6,6,6,6,6,2,9,1,1,1,2,2,6,6,1,2,1,1,2,2,2,1,1,1,1],[1,10,6,8,24,
9,6,2,2,9,9,9,24,10,24,24,18,6,18,36,6,24,18,2,4,6,2,6,6,2,6,6,12,6,2,6,6,6,2,
2,2,2,6,24,36,9,18,18,18,1,6,2,6,12,6,6,2,6,12,6,2,2,2,6,6,6,6,6,2,6,6,2,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,2,6,6,9,1,2,2,1,2,1,2,2,2,6,6,6,6,6,6,6,6,6,6,6,6,6,
2,6,6,2,1,1,2,2,1,2,2,2,2,1,2,1,2,2,1,2,2,1,2,2,6,1,2,2,1,1,2,2,2,2,1],[1,12,
6,18,3,8,1,4,9,18,3,10,9,18,12,6,4,3,1,6,12,12,3,24,3,18,9,9,12,4,6,3,6,1,3,3,
3,2,12,3,1,3,9,4,4,4,3,3,3,6,1,3,3,3,3,1,3,1,4,3,3,1,1,1,1],[1,6,6,9,22,2,2,
24,18,27,9,9,24,2,6,10,14,6,6,6,6,2,2,18,9,9,9,18,1,6,6,18,6,6,6,6,2,14,6,9,4,
2,1,2,1,1,6,6,2,2,1,2,2,2,2,1,1,2,2,1,1,1,1],[1,6,18,3,12,8,1,4,10,9,12,18,3,
18,9,4,3,3,1,6,6,12,12,24,9,3,12,18,9,4,3,3,6,6,12,3,3,2,3,3,1,1,9,4,4,4,6,3,
1,3,3,1,3,3,3,3,3,4,1,3,3,1,1,1,1],[1,6,6,8,24,9,10,2,2,9,9,9,24,6,24,24,18,
10,18,36,6,24,18,2,2,6,6,2,6,6,6,2,6,4,6,6,2,12,2,6,2,6,2,24,36,9,18,18,18,1,
6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,2,12,6,6,6,6,2,6,6,2,6,6,6,6,2,6,2,6,2,6,6,2,
2,6,9,2,1,2,2,2,2,1,2,1,6,6,6,6,6,6,2,6,6,6,6,6,6,6,6,6,2,2,2,1,2,2,2,2,2,1,2,
1,2,1,2,1,1,2,1,2,2,6,2,2,2,2,2,1,2,1,1,1],[1,2,18,9,22,2,2,24,27,6,18,1,18,9,
6,10,14,6,6,2,4,6,12,2,2,6,9,9,6,18,9,1,18,6,6,12,12,6,2,14,6,6,6,2,6,6,2,6,9,
4,1,2,2,1,1,6,6,6,6,6,6,2,6,2,2,1,2,2,2,1,1,2,6,2,1,1,1,2,1],[1,6,6,9,10,2,2,
9,9,24,9,24,2,6,6,2,6,6,6,6,2,2,18,9,1,6,6,6,6,6,6,6,2,6,2,9,2,1,2,1,1,6,6,2,
1,2,2,1,1,2,1,1,1,1],[1,10,2,18,9,2,2,18,9,18,1,9,18,18,4,6,6,6,12,2,6,6,2,2,
2,6,9,9,9,1,6,6,12,6,12,2,2,6,6,6,6,6,9,1,2,1,2,1,6,6,2,1,2,1,1,2,2,1,1,1,1],[
1,22,6,6,9,2,2,27,6,9,24,9,18,18,2,10,6,6,6,6,2,6,14,2,9,18,9,9,18,1,6,6,14,6,
2,6,6,18,6,6,9,1,4,1,1,2,2,6,6,1,2,2,2,2,1,1,2,2,2,2,1,1,1,1],[1,22,2,18,9,2,
2,27,18,1,24,9,18,6,4,10,6,6,12,2,6,6,14,2,2,6,9,18,9,9,6,1,6,6,12,6,12,6,14,
2,6,2,6,18,6,6,6,2,9,1,2,4,1,2,1,6,6,6,2,6,6,6,6,2,1,2,2,2,2,1,1,2,6,2,1,1,1,
2,1],[1,22,6,9,6,2,2,18,9,9,27,24,24,10,2,6,6,2,6,2,6,6,14,9,9,9,18,18,1,6,2,
6,6,6,6,14,6,6,18,9,1,2,4,1,1,2,6,6,2,2,1,2,2,1,2,1,2,1,1,1,2,2,1],[1,10,6,6,
9,2,2,18,9,9,18,9,6,6,2,6,6,6,2,6,2,6,2,6,9,9,9,1,6,6,6,6,2,6,6,6,6,2,9,1,1,2,
1,2,6,6,2,1,2,2,2,1,1,1,1,1,1],[1,12,6,18,3,8,4,1,10,9,9,18,3,18,12,3,4,6,1,3,
6,12,12,24,3,12,18,9,9,4,2,3,1,3,6,3,3,12,6,3,3,1,9,4,4,4,3,3,3,1,3,1,3,3,3,3,
6,1,4,3,3,1,1,1,1],[1,22,6,6,9,2,2,24,27,9,18,9,6,18,2,10,6,6,2,6,14,6,2,6,9,
18,18,9,9,1,6,14,6,18,6,6,6,6,6,2,9,1,1,2,1,2,4,6,6,1,2,2,2,2,2,2,1,1,2,2,1,1,
1,1],[1,6,6,9,10,2,2,18,9,6,6,9,18,9,2,6,6,2,6,6,6,2,6,2,9,9,9,1,6,6,6,6,6,6,
6,6,2,2,9,1,2,1,2,1,6,6,1,2,2,2,1,2,1,1,1,1,1],[1,6,6,9,22,2,2,24,27,18,6,9,
18,9,2,6,10,14,6,6,6,2,6,2,9,9,18,18,9,1,18,6,6,6,6,6,14,6,6,2,9,4,1,2,1,2,1,
6,6,2,1,2,2,2,1,2,1,2,1,1,1,2,2,1],[1,27,9,4,3,6,9,27,18,27,9,3,4,6,3,3,3,3,3,
9,3,18,9,3,1,1,1,1,3,3,3,3,1,1],[1,9,4,3,6,9,3,9,9,9,18,4,6,3,3,6,9,3,6,9,3,1,
2,1,1,3,1,1],[1,9,4,6,9,3,3,9,9,18,9,4,6,6,3,3,9,6,3,9,3,2,1,1,1,3,1,1],[1,27,
4,16,4,12,4,18,18,27,9,18,36,9,9,16,24,24,8,6,6,24,6,16,12,3,9,6,3,3,18,9,18,
9,6,36,18,6,16,4,12,4,4,6,1,12,6,3,6,3,3,1,1],[1,27,9,3,4,6,27,9,18,27,9,3,4,
3,3,6,3,9,3,9,3,3,18,3,1,1,1,1,3,3,3,3,1,1],[1,27,1,7,1,3,1,9,9,27,9,9,1,3,3,
3,2,3,3,3,1,3,3,3,9,9,9,9,3,1,1,1,6,1,3,1,3,3,3,3,1,1],[1,9,4,16,4,12,4,6,6,
18,18,16,24,24,8,6,6,24,6,16,6,12,1,9,12,12,6,16,4,12,4,4,6,6,2,2,1,1],[1,27,
9,4,6,3,9,27,9,18,27,3,4,6,3,3,3,3,3,9,9,3,18,3,1,1,1,1,3,3,3,3,1,1],[1,27,4,
6,9,3,54,27,36,27,4,6,6,3,3,18,9,12,9,2,1,1,3,1,1,1],[1,27,4,3,6,9,9,27,18,27,
9,4,6,3,3,6,3,9,18,9,6,3,1,2,1,3,6,3,1,1],[1,9,3,4,6,9,3,9,9,18,9,4,6,3,3,6,9,
3,6,9,3,2,1,1,1,3,1,1],[1,9,18,1,7,1,3,9,1,3,9,9,9,9,9,6,1,3,3,9,2,9,3,9,3,1,
9,9,3,3,3,9,9,9,3,1,3,2,1,6,1,3,9,1,1],[1,27,18,1,7,1,3,9,1,27,9,9,9,63,27,6,
1,3,3,9,2,9,3,9,3,1,9,6,9,9,9,3,9,3,9,9,1,3,2,1,6,6,3,1,3,1,1],[1,27,3,4,6,9,
54,27,36,27,4,6,3,3,6,9,18,9,12,2,1,1,1,3,1,1],[1,9,4,16,4,12,4,6,18,6,18,16,
24,24,8,6,6,24,6,16,12,6,12,12,6,9,1,16,4,12,4,4,2,6,6,2,1,1],[1,9,4,16,4,12,
4,6,18,6,18,16,24,24,8,6,6,24,6,16,12,9,12,12,6,1,6,16,4,12,4,4,2,6,6,2,1,1],[
1,27,3,4,6,9,27,9,18,27,9,4,6,3,3,6,6,9,3,9,3,18,2,1,1,6,3,3,1,1],[1,27,18,1,
7,1,3,9,1,9,9,27,9,9,27,54,6,1,3,3,9,2,9,3,9,3,1,9,3,3,9,9,9,9,6,9,9,1,3,2,1,
6,3,6,1,3,1,1],[1,81,4,16,4,12,4,324,108,108,108,432,16,24,24,8,6,6,24,6,16,
216,72,54,216,216,144,54,54,144,16,4,12,4,4,12,36,12,48,12,1,1],[1,3,4,16,4,
12,4,1,6,6,3,6,12,3,3,16,24,24,8,6,6,24,6,16,3,2,2,4,3,6,3,6,1,1,6,12,1,2,16,
4,12,4,4,4,3,1,2,1,2,2,1,1,1],[1,27,4,6,9,3,9,27,9,18,27,4,6,6,3,3,3,6,3,9,9,
18,2,1,1,3,6,3,1,1],[1,27,4,3,6,9,54,27,36,27,4,6,3,3,6,18,9,12,9,1,2,1,1,3,1,
1],[1,6,6,12,12,1,6,16,4,4,6,3,3,12,3,12,6,4,12,12,6,6,6,12,6,12,6,12,12,16,
16,16,6,6,3,3,1,12,3,1,12,1,12,12,12,3,12,6,6,6,6,6,6,12,2,12,6,4,16,4,4,3,6,
3,6,6,6,6,3,3,3,6,3,6,3,4,4,4,4,4,4,4,4,4,8,3,3,3,3,3,1,3,4,4,4,3,1,1],[1,9,9,
9,27,9,2,4,2,3,2,27,9,27,27,9,9,27,3,6,6,6,6,6,9,6,6,6,18,18,6,9,9,6,18,9,36,
6,6,9,9,27,2,2,1,1,2,1,4,9,18,9,6,9,9,18,18,9,9,9,9,9,6,9,9,9,9,6,9,9,6,3,3,2,
2,1,3,12,3,3,3,1,3,6,3,3,3,6,2,3,2,6,2,6,2,1,3,6,9,9,9,1,3,3,3,3,3,3,6,3,3,6,
3,3,1,3,3,3,3,6,3,1,3,1,3,3,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1],[1,12,6,18,
27,2,4,2,3,2,27,18,9,27,54,2,6,27,6,18,18,18,6,6,18,6,15,3,36,7,6,6,3,3,6,3,
27,2,2,1,1,2,1,4,27,9,9,18,18,9,6,18,6,18,18,18,18,9,3,3,6,6,3,2,2,3,6,3,6,1,
4,1,3,3,4,1,6,1,3,3,3,6,6,1,12,2,2,9,18,1,3,3,3,3,3,6,3,3,6,1,6,3,3,1,3,3,3,1,
6,3,3,6,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1],[1,18,27,3,4,6,27,9,27,18,27,18,
18,6,12,6,27,4,3,6,9,18,27,9,18,18,6,6,2,12,3,9,1,9,3,1,6,3,2,3,1,1,1,1],[1,4,
36,27,12,2,4,2,3,2,27,36,3,54,27,1,2,27,6,6,7,2,18,18,18,4,18,18,9,8,12,36,24,
15,36,4,1,4,12,9,27,2,2,1,1,2,1,4,18,1,18,18,9,27,24,9,36,12,9,6,18,9,18,18,6,
18,36,12,9,6,1,2,3,4,6,12,4,6,3,2,2,1,2,6,3,4,6,1,4,3,3,3,6,3,3,6,12,2,4,1,1,
6,18,18,9,1,3,3,12,6,6,3,6,3,3,6,3,6,3,3,6,3,3,1,6,1,3,6,3,6,3,3,4,2,3,1,1,1,
1,1,1,1,6,3,3,3,1,1,1,1,1,1,1,1],[1,36,27,4,6,3,54,81,21,18,54,18,27,45,36,27,
4,6,3,54,45,81,27,18,3,9,18,12,9,24,6,27,1,18,9,18,18,12,3,3,1,9,3,3,1,1],[1,
6,27,3,4,6,27,27,9,2,18,27,18,6,12,6,27,4,3,6,6,27,9,9,18,2,4,18,6,2,3,9,1,9,
1,3,6,3,2,3,1,1,1,1],[1,3,9,3,45,3,2,4,2,3,2,9,9,9,27,27,27,27,1,6,6,6,9,1,6,
3,18,24,18,6,15,1,24,6,36,6,3,12,12,27,2,2,1,1,2,1,4,3,18,9,18,18,9,9,18,9,9,
3,3,9,18,18,9,9,3,3,3,9,3,2,3,1,1,12,3,2,1,3,3,6,4,1,4,1,6,6,3,3,1,6,6,1,6,2,
3,6,9,9,9,1,6,1,3,3,3,3,3,3,3,1,1,3,3,3,3,3,6,3,3,3,6,3,3,3,1,1,1,1,1,1,1,3,3,
3,1,1,1,1,1,1,1,1],[1,9,9,1,27,9,2,4,2,3,2,9,27,9,27,27,9,27,6,2,6,6,6,9,6,2,
1,6,6,27,2,9,6,6,6,9,4,1,1,6,6,27,2,2,1,1,2,1,4,9,9,6,9,3,18,6,6,9,9,9,3,9,9,
18,9,18,3,3,3,3,6,1,3,1,3,1,1,3,1,2,1,2,6,1,3,1,6,6,3,6,6,6,2,6,4,6,1,3,9,9,9,
1,3,3,3,3,3,3,3,3,3,3,3,3,1,1,3,6,3,3,6,3,1,6,3,3,1,1,1,1,1,1,1,3,3,3,1,1,1,1,
1,1,1,1],[1,15,18,4,3,6,9,27,27,8,6,18,12,6,12,21,6,27,4,6,3,9,9,6,18,9,4,6,6,
10,1,6,12,6,2,9,1,6,3,1,6,3,2,1,2,3,1,1,1,1],[1,27,36,3,4,6,54,81,54,21,45,18,
27,36,18,27,4,3,6,81,54,45,27,24,9,18,18,12,6,9,3,27,1,18,9,18,18,12,1,3,3,9,
3,1,3,1],[1,12,6,18,27,4,3,6,27,18,9,27,54,2,6,7,54,27,6,6,18,6,36,6,12,15,12,
6,27,4,6,3,18,6,9,18,9,18,6,6,18,27,18,18,36,2,18,3,6,2,4,8,1,6,12,9,6,12,6,2,
2,18,9,1,6,3,6,6,6,6,6,2,1,3,6,12,6,6,1,1,1,2,2,6,3,1,1,2,1,2,1],[1,12,27,4,3,
6,27,36,7,54,27,6,36,6,15,27,4,6,3,18,9,27,9,2,18,3,6,8,1,12,9,9,1,6,6,3,4,1,
1,1,3,1,1,1,1],[1,6,18,27,12,2,4,2,3,2,27,18,9,54,27,2,6,27,6,6,7,6,18,18,18,
3,6,6,18,3,36,15,6,3,3,6,27,2,2,1,1,2,1,4,18,6,18,18,27,18,3,18,9,18,18,9,9,9,
3,6,6,3,2,3,4,6,6,1,2,3,6,1,6,6,1,4,3,3,3,3,3,2,12,6,1,2,1,9,18,1,3,3,1,3,3,3,
6,3,1,6,3,6,3,3,3,6,6,3,1,3,3,3,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1],[1,6,18,
27,12,3,4,6,27,18,9,54,27,2,54,7,15,6,27,18,6,36,6,6,12,12,6,6,27,4,3,6,27,6,
9,18,18,6,18,18,18,18,9,36,6,8,2,4,9,18,6,6,6,12,2,6,3,2,2,12,1,9,18,1,6,6,3,
6,2,6,3,6,12,6,1,6,6,6,1,1,1,2,2,6,3,2,2,1,1,1,1],[1,12,4,36,27,2,4,2,3,2,27,
36,3,27,54,1,8,6,27,2,18,18,18,1,18,24,9,2,15,12,36,7,18,36,6,4,4,4,9,12,27,2,
2,1,1,2,1,4,27,18,24,18,36,6,6,9,18,18,9,18,1,9,18,9,9,18,36,12,12,6,6,3,2,4,
2,3,6,12,1,6,3,4,1,2,1,2,3,6,4,4,3,1,3,3,3,1,6,12,2,6,4,6,18,9,18,1,6,6,3,3,3,
12,6,3,3,6,6,3,2,6,1,3,3,6,4,3,3,3,3,6,3,3,1,3,6,1,1,1,1,1,1,1,3,3,6,3,1,1,1,
1,1,1,1,1],[1,36,27,4,3,6,81,54,21,54,27,18,36,18,45,27,4,6,3,54,27,45,81,6,
18,9,18,24,3,12,9,27,1,18,12,18,18,9,3,3,1,9,3,1,3,1],[1,18,15,3,4,6,9,27,27,
8,21,6,18,6,12,12,6,27,4,3,6,9,18,6,9,9,10,6,6,4,6,6,2,12,1,9,1,6,1,3,3,6,1,2,
2,3,1,1,1,1],[1,27,6,4,6,3,27,9,27,2,18,18,6,27,12,6,27,4,6,3,9,27,9,6,18,4,3,
2,6,18,2,9,1,3,9,1,6,3,2,3,1,1,1,1],[1,9,3,3,45,3,2,4,2,3,2,27,9,9,27,27,9,27,
1,6,6,1,6,6,1,6,24,18,18,9,12,6,24,6,36,3,3,15,12,27,2,2,1,1,2,1,4,18,9,18,9,
3,18,3,9,9,3,3,9,9,18,9,18,18,9,9,3,3,6,3,1,2,2,1,12,3,4,2,3,1,3,6,3,3,4,6,1,
1,3,6,3,6,1,6,1,6,9,9,9,1,3,3,3,1,3,1,3,3,3,3,1,6,3,3,3,3,3,3,3,6,3,3,3,6,1,1,
1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1],[1,9,3,7,9,3,2,4,2,3,2,9,9,9,9,3,3,9,2,2,6,1,
6,6,1,8,6,7,6,9,8,9,3,6,6,4,4,4,3,9,2,2,1,1,2,1,4,6,9,3,1,9,9,6,9,3,9,6,6,6,6,
3,3,3,3,1,3,3,6,1,1,2,2,1,3,4,2,3,1,2,4,2,3,1,3,1,1,3,3,1,2,6,4,2,2,1,3,9,3,1,
3,1,3,3,3,3,1,3,1,3,1,1,3,3,1,3,3,1,1,2,3,6,2,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,
1,1,1],[1,3,9,7,9,3,2,4,2,3,2,9,3,9,9,3,9,9,2,6,8,6,6,9,1,2,4,6,9,8,6,1,6,6,4,
4,7,3,3,9,2,2,1,1,2,1,4,3,9,1,3,6,6,6,9,9,3,3,9,3,6,9,1,6,3,3,6,3,3,2,4,3,2,2,
1,1,4,1,2,1,2,1,2,3,1,6,2,1,3,3,1,2,4,1,6,3,9,3,3,1,1,3,3,1,2,3,1,3,3,1,3,1,3,
1,3,3,1,1,3,1,6,3,2,3,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,1],[1,12,27,4,6,3,27,
36,7,6,54,6,27,15,36,27,4,6,3,9,18,27,9,6,1,3,18,12,9,8,2,9,1,6,3,6,4,1,1,1,3,
1,1,1,1],[1,3,3,7,9,9,2,4,2,3,2,9,3,9,9,9,3,9,2,8,1,6,6,6,8,6,4,9,2,6,3,1,6,9,
6,4,7,4,3,9,2,2,1,1,2,1,4,3,9,3,6,3,6,6,6,9,6,9,3,9,3,9,6,1,3,3,1,3,3,2,4,1,2,
2,3,3,1,1,2,4,2,1,1,6,1,3,3,6,3,2,2,4,1,2,1,1,3,9,3,1,3,3,2,1,3,1,3,3,1,3,1,3,
3,3,3,1,3,3,1,1,6,2,1,1,1,1,1,1,1,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,12,12,27,12,2,
4,2,3,2,27,27,27,54,6,6,7,27,6,6,15,7,18,18,18,6,15,36,7,15,6,27,2,2,1,1,2,1,
4,27,15,18,27,15,27,27,15,18,18,6,6,3,2,4,2,3,1,4,6,3,6,2,4,1,4,6,4,3,3,3,12,
6,1,4,27,1,4,6,4,6,3,6,3,3,3,6,4,3,3,3,6,3,6,3,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,
1,1,1],[1,27,18,4,6,3,27,27,9,18,18,27,6,18,6,12,27,4,6,3,9,9,27,18,18,3,2,6,
6,12,18,9,1,1,9,6,3,2,3,3,1,1,1,1],[1,27,6,4,3,6,9,27,27,2,6,18,6,18,27,12,27,
4,6,3,27,9,6,9,18,2,4,18,3,6,2,9,1,6,9,1,3,3,2,3,1,1,1,1],[1,27,18,4,3,6,27,
27,9,18,6,18,18,12,27,6,27,4,6,3,9,27,9,18,18,18,3,6,12,6,2,9,1,6,3,9,1,3,2,3,
1,1,1,1],[1,9,24,4,12,27,12,36,9,8,1,4,1,12,9,4,3,4,1,1],[1,12,6,18,27,4,6,3,
27,27,54,9,18,2,7,6,54,6,6,27,15,6,18,6,36,12,12,6,27,4,6,3,9,18,6,9,18,18,27,
18,18,18,36,6,6,6,4,1,3,18,2,12,6,2,9,6,12,6,8,2,2,9,18,1,6,6,3,6,6,6,6,12,2,
1,6,6,6,3,2,1,1,1,2,6,3,2,1,1,1,2,1],[1,3,3,3,45,9,2,4,2,3,2,9,9,27,27,27,9,
27,1,1,6,6,6,6,3,24,24,18,6,6,12,1,18,9,36,6,3,12,15,27,2,2,1,1,2,1,4,18,3,18,
9,3,18,18,18,9,9,9,3,18,9,9,9,3,3,9,9,3,3,2,1,2,2,3,12,3,3,4,1,6,6,4,1,3,6,6,
1,3,3,3,6,6,1,1,1,6,9,9,9,1,6,3,3,3,3,3,3,1,3,6,3,3,3,1,1,3,3,3,3,3,3,3,3,6,1,
1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1],[1,27,12,3,4,6,27,36,54,7,15,6,27,36,6,27,
4,3,6,27,18,9,9,8,9,18,6,12,2,3,1,9,1,6,3,6,4,1,1,1,3,1,1,1,1],[1,15,6,4,6,3,
9,9,9,2,8,6,12,6,21,12,6,9,4,6,3,9,9,6,9,6,6,4,1,6,2,6,10,4,2,9,1,6,1,1,1,6,2,
1,2,1,1,1,1,1],[1,15,18,4,6,3,9,27,27,8,6,12,21,6,18,6,12,27,4,6,3,9,6,9,9,18,
6,1,6,2,6,6,12,10,4,9,1,6,3,1,6,3,2,2,1,3,1,1,1,1],[1,15,6,4,3,6,9,9,9,2,6,8,
6,12,6,21,12,9,4,6,3,9,6,9,9,6,4,6,6,2,4,10,1,6,2,9,1,6,1,6,1,1,2,1,2,1,1,1,1,
1],[1,6,15,3,4,6,9,9,9,2,8,21,6,6,12,12,6,9,4,3,6,6,6,9,9,9,10,2,4,6,6,4,6,2,
1,9,1,6,1,1,1,6,1,2,2,1,1,1,1,1],[1,12,6,18,27,2,4,2,3,2,27,27,54,9,18,2,6,6,
7,27,15,18,18,18,6,3,6,18,6,6,36,6,3,6,3,3,27,2,2,1,1,2,1,4,18,27,3,18,18,9,9,
9,18,18,18,9,3,18,6,6,6,3,4,2,2,2,3,1,6,3,3,6,3,1,1,2,3,3,6,6,3,1,12,6,1,6,4,
9,18,1,3,3,3,6,3,3,6,3,1,6,6,3,6,1,3,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,3,3,1,1,1,
1,1,1,1,1],[1,12,4,36,27,2,4,2,3,2,27,27,54,3,36,1,6,2,7,27,15,8,18,18,18,6,4,
24,18,9,2,9,36,18,36,4,4,1,12,12,27,2,2,1,1,2,1,4,18,18,27,12,24,6,18,9,18,18,
6,36,18,9,9,18,12,9,36,1,9,6,1,4,2,3,1,6,12,3,1,6,4,2,4,2,3,6,3,3,6,3,3,3,1,6,
12,2,4,1,6,2,4,6,18,18,9,1,3,6,12,6,3,3,6,6,3,6,3,6,3,3,4,3,3,3,6,1,3,6,3,2,3,
3,3,1,6,1,1,1,1,1,1,1,3,6,3,3,1,1,1,1,1,1,1,1],[1,18,4,16,4,12,9,4,6,16,24,24,
9,6,8,9,6,6,3,6,9,24,6,6,16,2,16,2,4,3,12,2,12,2,1,6,4,6,4,1,1,2,1,2,2,2,1,1,
1],[1,22,6,8,24,9,6,2,2,18,9,9,27,24,10,24,24,24,18,6,18,36,6,24,18,24,2,4,10,
2,6,6,2,6,6,12,6,2,6,6,6,14,2,2,2,6,9,24,9,36,36,9,18,18,18,18,18,24,18,1,6,2,
6,12,6,6,2,6,12,6,2,6,14,2,6,2,6,6,6,6,6,2,6,6,2,6,6,6,6,6,18,6,6,6,6,6,6,6,6,
6,2,2,6,6,18,9,9,18,9,1,2,2,4,1,2,1,2,2,2,6,6,6,6,6,6,2,6,6,6,6,6,6,6,6,6,6,6,
6,2,6,6,9,2,1,1,2,2,2,1,2,2,2,2,2,2,1,2,1,2,2,1,2,2,2,1,2,2,2,2,6,6,2,1,2,2,1,
1,2,2,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,6,6,8,24,9,22,2,2,24,18,27,9,
24,9,24,6,24,24,18,10,18,36,6,24,18,2,2,6,10,14,6,6,6,2,6,4,6,6,2,12,2,6,2,6,
2,18,18,9,9,24,36,9,24,18,18,18,36,18,1,6,6,6,18,6,6,6,6,6,6,6,6,6,12,6,6,2,
12,6,6,6,6,2,6,6,14,6,2,6,6,6,6,2,6,2,6,2,6,6,2,2,6,2,6,9,18,9,18,9,4,2,1,2,2,
2,2,1,2,1,6,6,6,6,6,6,2,6,6,6,6,6,6,6,6,6,2,6,6,6,6,6,9,2,2,2,2,1,2,2,2,2,2,2,
2,2,2,1,2,1,2,1,2,1,1,2,2,1,2,2,6,6,2,2,2,2,1,1,1,2,1,2,2,2,1,2,2,1,2,1,2,1,1,
1,1,1,1,1,1],[1,6,22,8,24,9,6,2,2,24,18,9,27,9,24,6,24,24,18,6,18,36,10,24,18,
24,2,10,6,6,2,2,4,6,14,2,12,6,6,2,2,6,2,6,6,6,18,9,9,24,24,36,36,9,18,18,18,
18,18,1,6,6,6,6,6,6,2,2,6,6,6,6,6,12,6,2,6,6,14,6,6,6,6,6,6,2,12,18,2,6,2,6,6,
6,6,6,6,6,6,2,2,6,6,2,9,18,18,9,9,1,1,2,2,2,2,2,1,2,4,6,2,6,6,2,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,9,2,2,2,2,1,2,2,1,2,2,2,2,2,2,2,2,2,2,1,1,2,2,2,1,2,1,1,6,
6,1,2,2,2,2,2,1,2,2,2,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,9,4,16,4,12,4,27,
6,18,6,18,16,24,24,8,6,6,24,6,16,27,9,12,6,12,12,6,9,1,16,4,12,4,4,9,3,2,6,6,
2,1,3,1,1,1],[1,9,3,27,4,16,4,12,4,27,1,6,6,6,18,6,18,3,18,18,27,6,9,18,36,12,
3,3,9,9,16,24,24,8,6,6,24,6,16,9,18,27,9,9,3,6,12,2,2,4,1,12,9,3,3,6,3,6,9,6,
3,3,18,1,9,18,9,1,6,36,6,18,12,12,1,12,2,6,6,16,4,12,4,4,9,9,9,3,3,3,6,18,6,4,
6,1,6,3,12,2,1,2,1,6,3,6,3,2,2,1,3,2,1,3,6,1,3,3,1,1,1,1],[1,6,9,4,16,4,12,4,
9,2,12,6,18,6,12,6,12,18,24,6,6,16,24,24,8,6,6,24,6,16,6,18,18,12,6,4,4,8,6,6,
12,12,6,12,12,2,6,9,2,12,24,2,4,1,16,4,12,4,4,6,6,1,9,12,2,6,8,6,6,2,2,4,2,4,
4,2,1,2,2,6,1,2,1],[1,9,9,9,4,16,4,12,4,27,6,6,6,6,18,18,6,18,18,6,18,18,16,
24,24,8,6,6,24,6,16,9,27,9,9,12,12,9,12,6,12,1,6,9,12,12,6,1,6,12,6,9,12,12,1,
6,16,4,12,4,4,3,9,3,3,9,9,2,2,6,6,6,6,6,6,2,2,2,2,1,3,1,3,3,1,1,1,1],[1,27,36,
3,4,6,27,18,27,18,12,4,12,3,6,12,27,27,18,18,3,4,4,4,1,9,3,4,1,1],[1,81,18,4,
16,4,12,4,81,324,12,36,12,108,108,108,432,36,16,24,24,8,6,6,24,6,16,108,108,
24,216,72,54,12,216,216,24,144,24,12,54,54,18,144,2,16,4,12,4,4,18,18,36,18,
72,12,4,12,12,36,4,12,48,12,1,12,12,2,1,1],[1,27,4,16,4,12,4,27,18,54,18,54,
16,24,24,8,6,6,24,6,16,27,27,36,27,36,36,18,3,18,16,4,12,4,4,9,27,6,18,18,6,1,
9,1,3,1],[1,9,3,27,4,16,4,12,4,27,1,6,6,6,3,18,18,27,6,18,9,6,18,36,18,12,3,3,
9,9,16,24,24,8,6,6,24,6,16,18,27,9,9,9,12,9,12,3,2,2,4,12,3,3,12,6,1,6,3,6,9,
6,3,6,3,18,1,9,18,9,1,6,36,6,18,12,1,2,6,16,4,12,4,4,9,9,3,6,3,9,3,18,6,2,6,4,
1,6,3,2,12,1,2,1,6,3,6,3,2,2,1,3,1,3,1,3,3,6,1,1,1,1],[1,54,9,4,16,4,12,4,81,
6,18,6,36,36,54,18,36,18,72,18,18,16,24,24,8,6,6,24,6,16,54,54,54,12,6,24,6,
12,18,12,6,6,36,12,6,18,36,9,18,12,72,36,1,12,16,4,12,4,4,9,9,18,36,18,12,2,6,
2,6,24,2,12,6,12,6,6,1,6,6,6,2,1,1],[1,27,4,16,4,12,4,27,18,18,54,54,16,24,24,
8,6,6,24,6,16,27,27,18,36,3,27,36,36,18,16,4,12,4,4,27,9,18,18,6,6,1,9,1,3,
1],[1,9,27,27,3,4,6,9,81,3,9,54,27,27,9,36,9,18,27,27,18,9,9,4,6,3,3,6,27,27,
27,27,54,9,3,6,9,18,6,9,9,3,9,12,9,3,3,18,2,1,1,9,9,9,18,9,1,1,6,3,3,3,3,1,3,
3,1,1,1,1],[1,9,54,4,16,4,12,4,81,6,36,36,54,18,18,6,36,72,18,18,18,16,24,24,
8,6,6,24,6,16,54,54,54,12,9,12,24,6,12,6,1,18,12,6,6,6,36,18,36,18,12,72,36,
12,16,4,12,4,4,36,18,9,9,18,12,2,6,2,6,2,24,12,6,12,6,6,1,6,6,6,2,1,1],[1,9,6,
4,16,4,12,4,9,2,6,12,6,18,12,18,6,12,24,6,6,16,24,24,8,6,6,24,6,16,18,18,6,6,
6,12,4,4,8,1,9,6,12,6,12,2,2,12,24,12,2,12,4,6,16,4,12,4,4,9,6,1,12,6,8,6,6,6,
2,2,4,2,4,4,2,2,1,6,2,2,1,2,1],[1,27,36,4,6,3,27,18,18,27,12,4,6,12,12,3,27,
27,18,3,18,4,4,4,1,9,3,4,1,1],[1,18,81,4,16,4,12,4,81,12,324,108,108,108,36,
432,12,36,16,24,24,8,6,6,24,6,16,108,108,24,216,18,24,72,54,216,216,24,12,2,
12,144,54,54,144,16,4,12,4,4,72,36,18,18,18,12,4,12,12,4,36,12,48,12,1,12,12,
2,1,1],[1,27,4,3,6,36,27,18,18,27,4,6,3,12,24,27,27,18,18,3,1,8,4,9,3,4,1,1],[
1,3,27,81,4,16,4,12,4,81,1,6,324,6,108,108,108,3,18,18,27,6,9,432,18,36,12,3,
3,9,9,16,24,24,8,6,6,24,6,16,54,54,27,54,27,27,27,108,216,3,2,72,2,4,54,216,
12,3,216,3,6,3,6,9,6,3,3,144,18,1,54,54,9,18,9,1,6,144,36,6,18,12,1,2,6,16,4,
12,4,4,9,9,36,18,9,18,18,18,9,9,18,36,18,9,6,12,4,1,3,12,36,12,1,2,1,6,48,3,6,
3,12,2,2,1,3,1,6,3,12,3,3,3,6,6,1,1,1,1],[1,9,54,4,16,4,12,4,81,6,6,18,18,36,
36,54,18,36,72,18,18,16,24,24,8,6,6,24,6,16,54,54,54,6,12,1,24,9,6,18,12,6,6,
36,18,36,18,12,72,36,12,12,6,12,16,4,12,4,4,18,9,18,36,9,12,6,2,6,24,2,12,6,
12,6,6,2,1,6,6,6,2,1,1],[1,9,27,27,4,6,9,3,81,3,9,54,9,27,9,27,9,36,18,27,27,
18,9,4,6,6,3,3,27,27,27,27,54,9,6,18,3,6,3,9,12,9,3,9,9,18,9,3,2,1,1,9,9,9,9,
18,3,1,6,3,1,3,3,1,3,3,1,1,1,1],[1,9,6,4,16,4,12,4,9,2,12,6,12,6,12,18,6,18,
24,6,6,16,24,24,8,6,6,24,6,16,18,18,6,12,9,12,6,4,4,8,6,12,6,1,12,6,12,6,2,2,
12,24,2,4,16,4,12,4,4,12,6,1,9,6,2,6,8,6,6,2,2,4,2,4,4,2,1,2,2,6,1,2,1],[1,18,
81,4,16,4,12,4,81,12,12,324,36,108,108,108,36,432,16,24,24,8,6,6,24,6,16,108,
108,216,12,24,72,54,2,216,18,216,144,54,54,144,24,24,12,16,4,12,4,4,72,18,36,
18,18,12,12,12,36,12,4,48,12,4,1,12,12,2,1,1],[1,27,4,16,4,12,4,27,18,54,18,
54,16,24,24,8,6,6,24,6,16,27,27,36,18,36,36,18,27,3,16,4,12,4,4,27,9,6,18,18,
6,1,1,9,3,1],[1,9,4,16,4,12,4,27,6,18,6,18,16,24,24,8,6,6,24,6,16,27,9,12,9,
12,12,6,1,6,16,4,12,4,4,9,3,2,6,6,2,1,3,1,1,1],[1,9,27,27,18,1,7,1,3,9,1,81,3,
9,9,27,9,9,9,9,9,9,27,9,63,9,9,27,27,9,54,6,1,3,3,9,2,9,3,9,3,1,27,27,27,27,
27,27,9,9,9,9,3,6,3,3,9,3,9,9,3,9,3,9,9,9,9,9,3,6,9,9,9,9,9,9,3,1,3,2,1,6,9,9,
9,9,9,9,9,9,9,1,3,6,3,3,6,9,1,1,3,3,1,3,3,3,1,1,1,1],[1,3,27,9,4,16,4,12,4,27,
1,6,6,18,6,6,3,18,18,27,6,9,18,18,36,12,3,3,9,9,16,24,24,8,6,6,24,6,16,18,27,
9,9,9,12,3,2,2,4,6,12,3,3,12,6,3,6,9,6,3,3,18,12,1,6,9,18,9,9,1,6,36,6,18,12,
1,2,1,6,16,4,12,4,4,3,9,3,6,9,9,18,3,6,2,6,4,1,3,6,12,2,1,2,1,6,3,6,3,2,2,1,3,
1,3,3,6,3,1,1,1,1,1],[1,27,3,4,6,36,27,18,27,18,4,24,12,3,6,27,27,18,18,3,8,4,
1,9,3,4,1,1],[1,9,4,16,4,12,4,27,6,6,18,18,16,24,24,8,6,6,24,6,16,27,9,6,12,1,
9,12,12,6,16,4,12,4,4,9,3,6,6,2,2,1,3,1,1,1],[1,27,4,6,36,3,27,18,18,27,4,6,
24,12,3,27,27,18,3,18,8,4,1,9,3,4,1,1],[1,81,4,16,4,12,4,81,324,108,108,108,
432,16,24,24,8,6,6,24,6,16,216,72,54,216,216,144,54,54,144,16,4,12,4,4,18,18,
18,36,12,36,12,48,12,1,1,1],[1,27,36,4,3,6,27,18,18,27,12,4,6,12,12,3,27,27,
18,18,3,4,4,1,4,9,3,4,1,1],[1,9,27,27,4,3,6,9,81,3,9,9,54,27,9,9,27,36,18,27,
27,18,9,4,6,3,3,6,27,27,27,27,54,9,18,3,6,9,3,9,12,9,9,18,9,6,3,3,1,2,1,9,9,9,
18,9,1,1,3,3,6,3,3,1,3,3,1,1,1,1],[1,12,12,10,54,27,12,2,4,2,3,2,27,27,27,54,
12,54,54,54,12,54,108,12,54,54,3,6,8,6,7,27,6,6,15,7,8,18,18,18,6,7,24,24,27,
8,15,15,36,7,24,15,36,6,4,7,7,15,15,54,108,27,54,54,54,2,2,1,1,2,1,4,18,27,15,
27,24,18,27,15,7,18,36,18,27,15,6,15,27,27,24,24,27,6,27,15,36,15,27,27,15,15,
27,15,36,18,7,27,18,27,27,27,6,27,15,27,36,15,15,15,7,15,15,27,6,6,3,2,4,4,2,
2,2,3,1,4,6,12,3,4,6,4,2,4,1,2,4,2,6,6,4,4,4,6,6,2,4,3,3,6,6,3,6,2,6,12,2,6,4,
2,6,2,1,4,6,27,15,27,27,18,27,27,15,18,18,27,27,27,27,27,15,27,27,1,6,4,6,6,6,
3,3,6,12,4,6,6,6,6,4,6,6,3,6,6,2,3,3,6,3,6,4,6,6,4,6,4,6,6,4,6,6,6,4,6,3,4,4,
6,1,3,6,4,6,3,6,3,4,6,3,4,6,3,4,6,3,6,4,3,1,4,6,1,6,6,6,3,2,6,3,6,6,3,4,6,2,4,
6,6,3,27,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,3,3,6,6,6,6,6,6,6,6,6,3,4,6,6,6,6,3,
4,3,3,6,6,6,3,6,3,3,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,18,27,36,3,4,6,54,
81,36,18,9,54,27,2,54,21,45,18,27,18,6,36,6,18,12,12,6,6,27,27,36,54,27,4,3,6,
81,6,9,18,54,6,18,18,18,45,9,18,9,36,9,27,6,27,24,2,4,9,18,18,6,6,12,6,6,9,2,
2,12,3,9,9,18,27,9,9,9,9,1,6,18,9,18,18,12,2,6,3,6,12,6,1,6,4,6,6,9,1,3,3,2,2,
9,3,6,3,4,6,1,2,1,2,3,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,36,6,18,27,4,3,6,81,18,9,
54,27,54,36,2,6,21,54,27,6,6,18,18,36,18,12,45,12,6,27,54,27,27,36,4,6,3,54,6,
9,18,27,45,9,9,18,6,6,18,81,18,18,36,9,27,6,18,9,18,2,4,24,3,6,12,9,6,12,6,2,
2,9,9,18,9,9,9,27,9,1,6,3,18,6,12,6,18,6,18,2,1,9,6,12,6,6,4,9,3,3,1,2,2,4,6,
6,9,3,3,1,3,1,1,2,1,1,3,2,3,1,1,1,1,1,1,1,1],[1,36,6,18,27,4,6,3,54,81,27,54,
9,18,36,2,21,18,54,18,6,27,45,6,18,6,36,12,12,6,27,36,54,27,27,4,6,3,9,9,54,6,
9,45,18,18,81,9,27,18,18,18,36,6,6,27,18,4,3,9,18,2,12,6,2,9,6,12,6,24,6,2,9,
9,27,9,9,9,9,18,1,6,18,9,18,18,6,6,6,12,4,2,12,1,6,6,6,3,9,2,3,3,1,2,4,6,6,9,
3,3,1,2,1,3,1,2,1,3,1,3,1,1,1,1,1,1,1,1],[1,81,18,4,16,4,12,9,4,54,54,81,27,
54,108,81,162,27,27,6,16,24,24,9,6,8,9,6,6,3,6,9,24,6,6,16,27,36,18,9,27,9,18,
18,9,9,27,27,54,27,54,27,18,18,108,54,18,18,2,16,2,4,3,12,2,12,2,1,6,4,6,4,18,
6,3,36,18,18,18,3,18,18,9,18,9,9,9,1,1,2,1,2,2,2,1,1,6,3,6,6,6,3,3,3,3,1,1],[
1,9,18,4,16,4,12,9,4,3,18,9,18,9,18,36,9,9,6,16,24,24,9,6,8,9,6,6,3,6,9,24,6,
6,16,9,9,9,6,6,12,9,18,9,18,9,3,3,18,36,3,9,6,2,16,2,4,3,12,2,12,2,1,6,4,6,4,
1,12,9,3,9,6,3,6,6,3,1,1,2,1,2,2,2,1,1,1,1,1,1,3,1,1],[1,81,18,4,16,4,12,9,4,
324,108,108,108,432,81,6,16,24,24,9,6,8,9,6,6,3,6,9,24,6,6,16,216,72,54,216,
216,27,144,54,54,27,144,27,27,2,16,2,4,3,12,2,12,2,1,6,4,6,4,12,18,9,36,12,48,
9,12,1,1,2,1,2,2,2,1,1,3,3,3,1,3,1,1],[1,18,81,4,16,4,12,4,81,54,12,324,108,
108,108,36,432,12,36,81,16,24,24,8,6,6,24,6,16,108,54,108,18,24,216,18,24,72,
54,216,216,24,12,2,12,144,54,54,144,54,16,4,12,4,4,72,36,18,18,18,18,6,12,4,
12,12,4,36,12,48,12,9,9,1,6,2,12,12,2,1,6,1,2,1],[1,27,54,4,16,4,12,4,27,81,
27,18,18,54,54,36,36,54,18,36,72,18,18,81,16,24,24,8,6,6,24,6,16,54,27,27,54,
9,27,54,18,36,3,24,27,6,18,12,6,6,36,18,36,18,12,72,36,36,36,18,12,27,27,16,4,
12,4,4,9,27,3,9,18,9,18,36,9,12,18,2,18,24,6,12,6,12,6,6,6,9,9,1,3,6,1,6,9,1,
6,2,3,3,3,1,1,1,1],[1,81,4,16,4,12,4,243,324,108,108,108,432,81,16,24,24,8,6,
6,24,6,16,216,72,54,216,216,144,54,54,144,16,4,12,4,4,54,54,54,108,12,36,12,
48,12,36,1,1,3,1],[1,18,81,4,16,4,12,4,162,81,12,324,108,108,108,36,432,12,36,
81,16,24,24,8,6,6,24,6,16,108,108,24,216,18,24,72,54,216,216,24,12,2,12,144,
54,54,144,16,4,12,4,4,72,36,36,36,18,18,18,36,72,12,4,12,12,4,36,12,48,12,18,
1,12,12,2,1,1,2,1],[1,27,54,4,6,36,3,27,81,27,18,18,27,18,54,18,36,108,81,4,6,
24,12,3,27,27,27,27,54,18,3,12,24,6,18,18,36,18,27,27,8,4,1,3,9,18,9,6,24,3,
12,9,4,3,3,1,4,3,1,1],[1,18,27,3,4,6,36,27,81,27,6,36,18,27,18,18,36,18,81,4,
24,12,3,6,18,27,27,27,27,18,36,6,12,18,18,6,3,27,27,8,4,1,9,3,9,18,4,3,6,9,4,
3,1,3,4,3,1,1],[1,36,27,4,6,36,3,54,81,21,18,54,18,27,45,36,108,27,4,6,24,12,
3,27,54,45,81,27,18,3,9,18,36,12,9,24,6,27,27,8,4,1,18,9,18,18,12,3,3,12,1,9,
4,3,3,1,4,1,1,1],[1,27,18,4,6,36,3,27,27,81,6,18,36,18,18,27,36,18,81,4,6,24,
12,3,27,27,27,27,18,36,18,12,3,6,18,18,6,27,27,8,4,1,9,9,3,18,4,3,6,9,4,3,3,1,
4,3,1,1],[1,27,54,4,16,4,12,4,27,81,27,18,36,36,54,54,18,18,36,72,54,18,18,81,
16,24,24,8,6,6,24,6,16,54,54,27,27,27,54,9,36,27,36,24,6,36,18,3,18,12,6,18,6,
36,18,36,18,12,72,36,12,27,27,16,4,12,4,4,36,18,9,9,18,9,27,9,3,12,6,18,2,18,
6,24,12,6,12,6,6,9,9,1,9,3,6,6,1,1,6,2,3,3,3,1,1,1,1],[1,27,36,3,4,6,36,54,81,
54,21,45,18,27,36,18,108,27,4,24,12,3,6,81,54,45,27,27,24,9,18,18,36,12,6,9,3,
27,27,8,4,1,18,9,18,18,12,1,3,3,12,9,4,3,1,3,4,1,1,1],[1,9,9,9,27,9,4,16,4,12,
4,27,9,27,27,9,9,27,3,6,18,6,6,6,18,18,6,18,18,9,18,18,27,18,18,9,6,18,18,36,
18,36,9,9,9,9,27,16,24,24,8,6,6,24,6,16,9,18,27,9,6,9,18,18,18,18,27,18,27,9,
9,27,9,18,18,6,18,9,9,9,9,6,9,9,12,12,9,12,9,6,12,6,6,12,1,6,12,9,9,3,12,12,6,
1,18,9,18,9,6,3,6,3,18,12,3,6,9,18,9,9,3,6,36,18,18,36,12,3,12,6,1,6,6,9,27,9,
9,16,4,12,4,4,3,9,3,9,9,3,12,9,6,9,3,9,3,6,9,3,9,3,6,3,3,9,1,6,9,3,9,3,9,9,6,
6,9,6,1,6,18,1,18,12,9,3,18,12,6,6,2,2,6,6,12,6,1,6,6,9,6,2,12,2,2,3,6,3,6,3,
6,3,6,6,3,3,2,9,9,3,9,3,3,1,3,3,1,3,3,3,2,6,2,6,3,1,3,1,3,1,3,2,2,6,2,3,6,6,2,
3,3,6,1,1,1,1,3,1,3,3,3,1,1,1,1,1,1,1,1],[1,6,54,81,18,4,16,4,12,4,81,54,9,
162,81,2,12,324,12,36,12,12,108,108,108,6,36,36,54,12,18,432,36,36,72,24,6,6,
18,18,81,16,24,24,8,6,6,24,6,16,108,6,108,54,54,108,36,54,108,18,54,18,108,54,
54,54,18,54,216,18,18,24,216,6,4,72,4,8,54,12,216,24,6,216,6,24,12,6,12,18,12,
6,6,144,36,24,2,12,54,54,18,36,18,18,2,12,144,72,12,36,24,2,4,2,12,54,54,54,
16,4,12,4,4,18,18,72,36,18,6,36,18,18,36,36,18,72,18,6,12,36,18,18,9,18,6,18,
36,72,36,6,9,1,36,18,36,18,9,6,12,18,12,12,4,12,8,2,6,12,24,36,4,12,2,4,2,12,
48,6,12,6,12,4,4,2,6,36,9,18,9,18,1,6,12,6,24,6,6,6,6,6,12,12,12,12,6,2,2,2,6,
12,6,6,2,2,1,2,6,6,6,1,1,1,2,2,1],[1,27,54,36,4,3,6,27,81,27,18,18,54,18,36,
27,108,18,81,12,4,6,12,12,3,27,27,27,27,54,18,12,18,3,12,18,12,36,18,6,27,27,
4,4,1,4,18,9,9,3,3,12,12,12,6,9,4,3,3,1,4,3,1,1],[1,81,18,4,16,4,12,4,81,54,
324,12,36,12,108,108,108,432,36,81,16,24,24,8,6,6,24,6,16,108,108,54,18,24,
216,72,54,12,216,216,24,144,24,12,54,54,18,144,2,54,16,4,12,4,4,18,18,36,18,
72,18,6,12,4,12,12,36,4,12,48,12,9,9,1,6,2,12,12,2,1,6,2,1,1],[1,6,27,4,16,4,
12,4,27,27,9,2,12,18,54,18,12,6,12,54,24,6,6,27,16,24,24,8,6,6,24,6,16,6,18,
27,27,18,9,27,36,6,4,4,8,18,6,36,12,6,12,36,2,18,27,2,12,24,2,4,3,9,27,16,4,
12,4,4,27,9,9,6,6,1,3,9,12,6,18,8,6,18,6,2,4,2,4,4,2,9,3,1,3,1,1,2,2,9,6,3,2,
1,3,1,1,1,1],[1,27,6,4,16,4,12,4,9,27,27,2,12,18,12,6,12,54,18,54,24,6,6,27,
16,24,24,8,6,6,24,6,16,27,27,18,27,18,6,9,36,27,36,6,4,4,8,6,36,18,3,12,6,12,
18,2,2,12,24,2,4,27,9,16,4,12,4,4,12,9,27,6,1,9,6,9,3,6,18,8,18,6,6,2,4,2,4,4,
2,3,9,1,2,9,3,2,1,1,6,3,2,1,3,1,1,1,1],[1,18,6,54,81,4,16,4,12,4,81,54,9,81,
162,2,12,12,324,12,108,108,108,6,36,36,54,12,36,18,432,12,36,72,36,24,6,6,18,
18,81,16,24,24,8,6,6,24,6,16,108,54,36,54,108,18,18,54,108,54,18,108,6,54,108,
54,54,54,216,18,18,24,216,18,24,6,4,72,4,8,54,216,24,6,216,6,24,12,2,12,6,12,
18,12,6,12,6,144,36,2,54,54,18,36,18,2,12,144,72,12,36,24,2,4,12,54,54,54,16,
4,12,4,4,36,18,18,9,9,18,72,36,18,18,72,36,18,12,36,6,18,36,6,36,18,12,6,18,1,
18,18,18,36,72,6,36,9,6,18,18,36,12,12,4,12,8,2,12,6,4,24,36,12,2,4,2,12,48,6,
12,6,12,4,4,2,6,18,9,36,18,9,1,12,6,24,6,6,2,6,6,12,2,6,6,2,6,12,6,12,6,6,12,
12,2,2,1,2,6,6,6,2,1,1,2,1,1],[1,18,81,4,16,4,12,4,162,81,12,12,324,36,108,
108,108,36,432,81,16,24,24,8,6,6,24,6,16,108,108,216,12,24,72,54,2,216,18,216,
144,54,54,144,24,24,12,16,4,12,4,4,72,36,18,36,36,18,18,36,72,12,12,12,36,12,
4,48,12,4,18,1,12,12,2,1,1,2,1],[1,18,18,81,4,16,4,12,4,81,81,81,12,12,12,324,
36,108,108,108,36,36,432,12,36,81,16,24,24,8,6,6,24,6,16,108,108,108,108,24,
216,18,24,12,24,72,54,2,216,18,216,24,12,2,12,144,54,54,144,24,24,12,16,4,12,
4,4,72,72,18,18,36,36,18,18,18,18,18,18,18,36,12,4,12,12,12,12,4,36,12,4,48,
12,4,18,18,1,12,12,12,12,2,2,1,1,1,1,1],[1,81,54,4,16,4,12,4,108,243,324,36,
108,36,108,108,108,432,108,81,16,24,24,8,6,6,24,6,16,324,324,108,108,72,216,
72,54,36,216,216,72,144,72,36,54,54,54,144,6,108,16,4,12,4,4,54,54,108,54,108,
216,36,12,12,36,36,36,12,12,48,12,54,1,36,36,4,36,6,1,12,3,4,1],[1,27,18,4,3,
6,36,27,27,81,6,18,36,18,18,18,27,36,81,4,6,3,12,24,27,27,18,27,27,36,18,6,12,
18,3,18,6,27,27,1,8,4,18,9,3,9,4,3,6,9,4,3,3,1,4,3,1,1],[1,18,6,54,81,4,16,4,
12,4,81,81,162,9,54,2,12,12,12,324,36,12,108,108,108,36,6,36,36,54,12,18,432,
36,72,24,6,6,18,18,81,16,24,24,8,6,6,24,6,16,54,108,108,18,36,18,108,54,54,54,
18,108,108,54,54,54,18,54,216,6,18,216,6,12,24,4,72,4,8,54,2,216,24,18,6,216,
6,12,6,12,18,12,6,6,144,36,2,54,54,18,36,18,2,12,144,72,12,36,24,24,2,24,4,12,
12,54,54,54,16,4,12,4,4,18,18,72,36,18,18,36,72,18,36,36,18,18,36,18,6,6,18,
36,72,18,36,9,6,12,6,1,18,36,18,12,9,18,18,6,36,9,12,12,8,12,2,12,6,24,36,12,
4,2,4,2,12,48,6,12,6,12,4,4,2,6,4,9,36,18,18,9,1,12,6,24,6,6,6,6,12,12,12,2,6,
12,6,6,2,12,6,2,6,6,2,2,1,2,6,6,6,2,1,2,1,1,1],[1,81,18,4,16,4,12,4,162,81,
324,12,36,12,108,108,108,432,36,81,16,24,24,8,6,6,24,6,16,108,108,24,216,72,
54,12,216,216,24,144,24,12,54,54,18,144,2,16,4,12,4,4,18,18,36,36,18,72,36,36,
72,12,4,12,12,36,4,12,48,12,18,1,12,12,2,1,1,2,1],[1,54,27,3,4,6,36,27,27,81,
18,27,18,54,18,36,108,18,81,4,24,12,3,6,27,54,27,27,27,18,24,18,18,12,18,6,36,
3,27,27,8,4,1,9,9,3,18,3,24,6,12,9,4,3,1,3,4,3,1,1],[1,18,81,18,4,16,4,12,4,
81,81,81,12,12,324,12,36,36,12,108,108,108,36,432,36,81,16,24,24,8,6,6,24,6,
16,108,108,108,108,24,216,12,24,72,54,2,12,216,18,216,24,144,24,12,54,54,18,
144,24,24,2,12,16,4,12,4,4,18,72,18,18,36,18,18,36,72,18,18,18,18,36,12,4,12,
12,12,12,36,4,12,4,48,12,4,18,18,1,12,12,12,12,2,2,1,1,1,1,1],[1,54,27,36,3,4,
6,27,27,81,18,27,18,54,18,36,108,18,81,12,4,12,3,6,12,27,54,27,27,27,18,18,18,
12,18,6,12,36,12,3,27,27,4,4,4,1,9,9,3,18,3,12,12,12,6,9,4,3,1,3,4,3,1,1],[1,
54,81,4,16,4,12,4,243,108,36,324,108,108,108,108,432,36,108,81,16,24,24,8,6,6,
24,6,16,324,108,108,324,72,216,54,72,72,54,216,216,72,36,6,36,144,54,54,144,
108,16,4,12,4,4,216,36,108,108,54,54,54,12,12,36,36,12,36,12,48,12,54,1,36,4,
36,36,6,1,12,4,3,1],[1,18,81,4,16,4,12,4,81,54,12,12,324,36,108,108,108,36,
432,81,16,24,24,8,6,6,24,6,16,54,108,108,18,216,12,24,72,54,2,216,18,216,144,
54,54,144,24,24,12,54,16,4,12,4,4,72,18,36,18,6,18,18,12,12,12,36,12,4,48,12,
4,9,9,1,6,12,12,2,2,1,6,1,2,1],[1,18,81,18,4,16,4,12,4,81,81,81,12,324,12,36,
12,108,108,108,36,432,12,36,36,81,16,24,24,8,6,6,24,6,16,108,108,108,108,24,
24,216,18,24,72,54,12,216,216,24,24,12,2,12,144,24,12,54,54,18,144,2,16,4,12,
4,4,72,18,18,18,36,18,72,36,18,18,18,18,18,36,12,4,4,12,12,12,12,4,36,4,12,48,
12,18,18,1,12,12,12,12,2,2,1,1,1,1,1],[1,27,54,4,3,6,36,27,81,27,18,18,54,18,
36,108,27,18,81,4,6,3,12,24,27,27,27,54,27,18,18,3,12,18,36,18,24,6,27,27,1,8,
4,18,9,9,3,3,6,24,12,9,4,3,3,1,4,3,1,1],[1,27,54,36,4,6,3,27,81,27,18,18,27,
18,54,18,36,108,81,12,4,6,12,12,3,27,27,27,27,54,18,3,12,6,18,18,12,36,12,18,
27,27,4,4,4,1,3,9,18,9,6,12,12,3,12,9,4,3,3,1,4,3,1,1],[1,54,27,4,16,4,12,4,
27,27,81,18,54,18,36,36,54,18,36,54,72,18,18,81,16,24,24,8,6,6,24,6,16,54,54,
27,27,54,9,27,36,18,24,6,36,18,12,6,6,36,36,18,18,36,27,18,12,72,36,3,12,27,
27,16,4,12,4,4,27,9,9,9,9,18,3,36,18,12,6,18,2,18,24,6,12,6,12,6,6,9,9,1,3,1,
6,1,6,9,6,2,3,3,3,1,1,1,1],[1,54,81,4,16,4,12,4,108,243,36,36,324,108,108,108,
108,108,432,81,16,24,24,8,6,6,24,6,16,324,108,324,108,216,36,72,72,54,6,216,
54,216,144,54,54,144,72,72,36,108,16,4,12,4,4,216,54,108,108,54,36,54,12,36,
36,36,12,12,48,12,12,54,1,36,36,36,4,6,1,12,4,3,1],[1,27,6,4,16,4,12,4,27,9,
27,2,18,12,18,54,12,54,6,12,24,6,6,27,16,24,24,8,6,6,24,6,16,27,18,27,18,9,27,
6,6,18,36,4,4,8,3,27,6,12,6,12,2,2,12,24,36,2,36,4,18,9,27,16,4,12,4,4,9,27,3,
9,9,6,1,12,6,8,18,18,6,6,2,4,2,4,4,2,6,3,9,1,3,6,2,1,2,9,1,3,2,1,3,1,1,1,1],[
1,36,27,4,3,6,36,81,54,21,54,27,18,36,18,108,45,27,4,6,3,12,24,54,27,45,81,27,
6,18,9,18,24,3,36,12,9,27,27,1,8,4,18,12,18,18,9,3,3,1,12,9,4,3,1,3,4,1,1,1],[
1,18,18,81,18,4,16,4,12,4,81,81,81,108,12,12,12,324,12,36,36,12,108,108,108,
36,36,432,12,36,36,81,16,24,24,8,6,6,24,6,16,108,36,108,108,36,108,108,36,108,
108,24,24,216,18,24,12,24,72,54,2,12,216,18,216,24,24,12,2,12,144,24,12,54,54,
18,144,24,24,2,12,108,16,4,12,4,4,12,36,12,72,18,72,18,36,18,18,36,72,36,12,
18,18,18,36,18,36,18,12,4,4,12,12,12,12,12,12,4,36,4,12,4,48,12,4,18,18,18,1,
12,4,12,12,12,12,12,12,12,12,2,2,2,1,12,4,1,1,1,1],[1,9,9,3,81,9,4,16,4,12,4,
27,27,27,81,81,27,81,1,6,6,6,6,6,18,18,6,6,18,3,54,54,81,6,18,27,6,54,18,108,
18,12,3,3,27,27,81,16,24,24,8,6,6,24,6,16,54,9,54,18,27,9,54,54,9,54,18,18,27,
27,9,9,27,9,54,54,54,54,9,9,9,9,9,9,12,12,9,12,3,6,12,2,2,4,1,6,36,9,3,9,12,
12,6,1,6,3,6,27,18,9,6,9,54,12,1,6,27,54,9,27,1,18,108,6,54,12,12,1,12,2,1,6,
18,27,27,27,27,16,4,12,4,4,36,3,18,9,9,9,3,9,9,3,18,9,9,3,9,3,6,9,3,9,3,6,9,3,
3,9,9,3,3,9,6,9,9,18,18,18,18,36,9,18,3,18,18,36,9,18,2,2,6,6,4,6,3,6,6,3,6,2,
36,2,2,1,2,1,18,9,18,9,2,2,1,9,2,9,9,9,9,9,9,1,3,3,1,3,3,3,6,6,6,6,3,6,1,3,1,
6,3,1,3,6,6,6,3,6,3,6,3,6,3,1,1,1,1,3,3,3,3,1,1,1,1,1,1,1,1],[1,27,72,4,16,4,
12,36,4,27,18,18,54,54,24,16,24,24,36,24,8,36,24,6,12,6,36,24,24,6,16,54,27,
27,27,18,36,3,27,36,36,18,8,16,8,4,12,48,8,12,8,4,24,4,24,4,27,27,9,18,18,6,6,
4,4,8,4,8,8,8,4,1,9,1,3,4,1,2,1,1],[1,27,72,4,16,4,12,36,4,27,18,54,18,54,24,
16,24,24,36,24,8,36,24,6,12,6,36,24,24,6,16,27,27,54,27,36,27,36,36,18,3,18,8,
16,8,4,12,48,8,12,8,4,24,4,24,4,9,27,27,6,18,18,6,4,4,8,4,8,8,8,4,1,9,1,3,4,1,
1,2,1],[1,27,72,4,16,4,12,36,4,27,18,54,18,54,24,16,24,24,36,24,8,36,24,6,12,
6,36,24,24,6,16,27,54,27,27,36,18,36,36,18,27,3,8,16,8,4,12,48,8,12,8,4,24,4,
24,4,27,9,27,6,18,18,6,4,4,8,4,8,8,8,4,1,1,9,3,4,2,1,1,1],[1,9,81,81,18,4,16,
4,12,9,4,243,3,18,9,324,18,108,108,108,9,54,54,81,18,27,432,54,108,81,81,36,9,
162,9,27,27,6,16,24,24,9,6,8,9,6,6,3,6,9,24,6,6,16,162,162,81,81,162,81,81,81,
324,9,9,216,27,9,6,72,6,12,54,216,36,18,9,216,9,18,9,18,27,9,9,18,18,9,27,9,
144,27,27,54,3,54,54,27,54,27,3,18,27,144,18,27,108,18,27,54,36,18,3,9,6,18,2,
16,2,4,3,12,2,12,2,1,6,4,6,4,27,27,108,54,27,54,27,54,54,27,27,27,27,54,108,
54,27,27,18,1,12,12,6,3,18,9,9,36,36,18,18,18,12,3,9,3,6,3,18,18,48,9,9,18,9,
12,9,6,6,3,9,1,1,2,1,2,2,2,1,1,18,9,36,9,9,9,9,18,18,9,6,1,1,3,6,6,6,3,3,1,1,
3,3,3,3,1,3,3,3,1,3,3,3,3,3,1,1,1,1],[1,18,18,81,18,4,16,4,12,4,81,81,81,108,
108,12,12,12,324,12,36,36,12,108,108,108,36,36,432,12,36,36,81,162,16,24,24,8,
6,6,24,6,16,108,36,108,108,36,108,108,108,36,108,108,36,81,24,24,216,18,24,12,
24,72,54,2,12,216,18,216,24,24,12,2,12,144,24,12,54,54,18,144,24,24,2,12,108,
108,16,4,12,4,4,12,36,12,72,18,72,18,36,18,18,36,72,36,12,18,18,18,36,18,36,
36,18,12,12,4,4,12,12,12,12,12,12,4,36,4,12,4,48,12,4,18,18,18,18,18,1,12,4,
12,12,12,12,12,12,4,12,12,12,18,2,2,2,1,12,12,4,1,1,1,4,2,1,1],[1,36,18,54,27,
4,6,36,3,54,81,81,162,27,54,108,6,21,36,18,54,18,18,27,45,18,54,18,36,36,108,
108,36,18,27,108,162,81,81,4,6,24,12,3,27,27,27,54,18,27,45,108,54,54,81,27,
27,54,54,54,108,18,18,81,36,18,12,3,9,18,12,24,6,36,12,18,6,9,18,36,18,24,6,6,
27,27,27,27,27,27,27,27,27,27,54,8,4,1,18,18,36,9,18,18,18,18,18,36,12,6,12,3,
18,18,18,9,27,27,6,4,3,24,3,12,1,12,6,12,18,18,9,9,9,4,12,3,6,3,3,3,6,3,3,1,9,
4,4,4,1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,18,18,81,18,4,16,4,12,4,81,81,108,81,
108,12,12,12,324,12,36,36,12,108,108,108,36,36,432,12,36,36,162,81,16,24,24,8,
6,6,24,6,16,108,36,108,108,36,108,108,36,108,108,108,36,81,24,24,216,18,24,12,
24,72,54,2,12,216,18,216,24,24,12,2,12,144,24,12,54,54,18,144,24,24,2,12,108,
108,16,4,12,4,4,12,36,12,72,18,72,18,36,18,18,36,72,36,12,36,18,18,18,36,18,
36,18,12,12,4,4,12,12,12,12,12,12,4,36,4,12,4,48,12,4,18,18,18,18,18,1,12,4,
12,4,12,12,12,12,12,12,12,12,18,2,2,2,1,12,12,4,4,1,1,1,2,1,1],[1,18,6,54,81,
4,16,4,12,4,162,81,81,162,9,54,54,2,12,12,12,324,36,12,108,108,108,36,6,36,36,
54,12,18,432,36,72,24,6,6,18,18,81,81,81,16,24,24,8,6,6,24,6,16,54,54,108,108,
18,36,18,108,54,54,54,18,108,108,18,54,54,54,18,54,216,6,18,81,216,6,12,24,4,
72,4,8,54,2,216,24,18,6,216,6,12,6,12,18,12,6,6,144,36,2,54,54,18,36,18,2,12,
144,72,12,36,24,24,2,24,4,12,12,54,54,54,54,16,4,12,4,4,18,18,72,36,18,18,36,
72,36,18,36,36,18,18,36,18,36,18,6,6,18,36,72,6,18,36,9,6,12,6,1,18,36,18,12,
9,18,36,18,72,6,36,9,12,12,8,12,2,12,6,24,36,12,4,2,4,2,12,48,6,12,6,12,4,4,2,
6,4,9,18,36,18,18,9,9,9,1,12,6,24,6,6,6,6,6,12,12,12,2,6,12,6,6,2,12,2,6,2,6,
6,9,9,2,2,1,2,6,6,6,6,2,1,2,1,1,2,2,1,1,1,1],[1,54,6,54,81,4,16,4,12,4,243,54,
9,108,81,162,54,2,12,36,324,12,108,108,108,6,36,36,54,12,108,18,432,36,36,72,
108,24,6,6,18,18,81,162,81,81,54,16,24,24,8,6,6,24,6,16,324,54,36,54,108,108,
108,18,54,18,54,108,54,18,108,6,54,324,54,54,54,216,18,18,18,81,72,216,54,72,
6,4,72,4,8,54,216,24,6,216,6,72,36,6,12,6,12,18,12,6,36,6,144,36,2,54,54,18,
36,18,2,12,144,72,12,36,24,2,4,12,54,54,54,54,18,54,54,108,54,16,4,12,4,4,36,
18,18,9,9,18,72,36,18,18,216,36,18,12,36,36,108,6,18,108,6,36,18,12,6,18,1,54,
18,54,36,72,6,36,9,6,54,18,18,36,6,54,12,12,12,36,8,2,36,6,12,24,36,12,2,4,2,
12,48,6,12,6,12,4,4,2,6,18,18,9,6,18,9,36,54,18,9,9,18,1,12,6,24,6,6,2,36,6,6,
6,12,2,6,6,2,2,6,12,4,6,36,6,6,12,36,9,9,2,6,1,2,6,6,6,6,6,12,2,6,6,4,2,1,3,2,
1,2,6,1,2,2,1,1,1],[1,18,18,81,54,4,16,4,12,4,108,162,243,81,81,108,12,12,12,
324,36,108,36,36,108,108,108,36,36,432,12,108,36,162,81,81,81,162,16,24,24,8,
6,6,24,6,16,108,36,324,108,36,108,324,36,108,108,108,108,81,72,24,216,18,24,
12,24,72,54,2,36,216,18,216,24,72,12,2,12,144,72,36,54,54,54,144,24,24,6,12,
108,108,16,4,12,4,4,12,36,12,72,54,72,54,36,108,18,54,36,108,216,36,36,12,36,
18,18,18,36,18,36,18,36,72,12,12,4,12,36,12,12,12,36,4,36,12,12,4,48,12,4,36,
36,18,54,36,18,36,18,18,1,12,4,12,36,12,36,4,12,12,12,36,12,18,2,6,2,1,12,12,
4,3,1,1,4,2,1,1,2,2,1,1],[1,18,18,81,18,4,16,4,12,4,324,81,81,81,12,12,12,324,
12,36,36,12,108,108,108,36,36,432,12,36,36,81,81,81,81,81,81,81,16,24,24,8,6,
6,24,6,16,108,108,108,108,108,108,81,24,24,216,18,24,12,24,72,54,2,12,216,18,
216,24,24,12,2,12,144,24,12,54,54,18,144,24,24,2,12,16,4,12,4,4,72,18,72,18,
72,36,18,18,36,72,36,72,18,18,18,18,18,72,144,12,4,4,12,12,12,12,12,12,4,36,4,
12,4,48,12,4,36,18,18,18,18,18,18,18,18,18,1,12,12,12,12,12,12,2,2,2,1,1,1,1,
4,1,1,1,1,1,1,1,1],[1,54,6,54,81,4,16,4,12,4,108,243,81,162,9,54,54,2,36,12,
36,324,108,12,108,108,108,108,6,36,36,54,12,18,432,36,72,24,6,6,18,18,81,54,
162,81,81,16,24,24,8,6,6,24,6,16,54,54,108,324,18,36,18,108,108,54,54,54,18,
108,324,18,108,54,54,54,18,54,216,6,18,81,216,6,36,72,4,72,4,8,54,6,216,24,54,
6,216,6,12,6,12,18,12,6,6,144,36,2,54,54,18,36,18,2,12,144,72,12,36,24,72,2,
72,4,36,12,18,54,108,54,54,54,54,54,54,16,4,12,4,4,18,18,72,36,18,18,36,216,
54,36,108,18,18,108,18,36,18,6,6,18,36,72,6,54,36,9,6,12,36,6,1,18,36,54,12,9,
18,18,6,36,9,54,12,12,8,36,2,36,6,24,36,12,12,2,4,2,12,48,6,12,6,12,4,4,2,6,
12,9,6,18,18,36,18,18,18,54,9,9,9,1,12,6,24,6,6,6,6,6,12,12,36,2,6,36,6,6,2,
12,2,6,2,36,4,6,6,9,9,2,6,1,2,12,2,6,6,6,6,6,6,6,2,4,1,2,1,3,2,6,2,1,1,1,2,
1],[1,18,6,54,81,4,16,4,12,4,162,81,54,9,81,162,54,2,12,12,324,12,108,108,108,
6,36,36,54,12,36,18,432,12,36,72,36,24,6,6,18,18,81,81,81,16,24,24,8,6,6,24,6,
16,108,54,36,54,108,18,54,18,54,108,54,18,108,6,54,108,54,54,54,216,18,18,18,
81,24,216,18,24,6,4,72,4,8,54,216,24,6,216,6,24,12,2,12,6,12,18,12,6,12,6,144,
36,2,54,54,18,36,18,2,12,144,72,12,36,24,2,4,12,54,54,54,54,16,4,12,4,4,36,18,
18,9,9,18,72,36,18,18,72,36,18,12,36,36,6,18,36,36,6,36,18,12,6,18,1,18,18,18,
36,72,6,36,9,6,18,18,36,18,72,36,6,12,12,4,12,8,2,12,6,4,24,36,12,2,4,2,12,48,
6,12,6,12,4,4,2,6,18,9,9,36,18,18,9,9,1,12,6,24,6,6,2,6,6,6,12,2,6,6,2,2,6,12,
6,12,6,6,12,12,9,9,2,2,1,2,6,6,6,6,2,1,1,2,1,2,2,1,1,1,1],[1,18,18,81,18,4,16,
4,12,4,81,81,81,108,108,12,12,12,324,12,36,36,12,108,108,108,36,36,432,12,36,
36,81,162,16,24,24,8,6,6,24,6,16,108,36,108,108,108,36,108,108,36,108,36,108,
81,24,24,216,18,24,12,24,72,54,2,12,216,18,216,24,24,12,2,12,144,24,12,54,54,
18,144,24,24,2,12,108,108,16,4,12,4,4,12,36,12,72,18,72,18,36,18,18,36,36,72,
36,12,18,18,12,18,36,18,36,18,12,4,4,12,12,12,12,12,12,4,36,4,12,4,48,12,4,18,
18,18,18,18,1,12,4,12,12,12,12,12,12,4,12,12,12,18,2,2,2,1,12,12,4,1,1,1,4,2,
1,1],[1,18,54,27,36,3,4,6,36,54,81,108,54,27,162,81,6,36,54,21,45,18,27,54,18,
36,18,18,36,108,108,36,18,18,81,27,108,162,81,4,24,12,3,6,81,18,27,54,54,18,
54,54,108,54,45,27,54,27,108,27,27,18,27,81,24,36,6,12,9,18,24,18,18,18,12,36,
12,6,18,9,6,6,36,3,27,27,27,27,54,27,27,27,27,27,27,8,4,1,18,36,18,9,18,18,12,
6,18,9,18,36,18,3,18,12,18,18,27,27,4,1,3,3,24,12,6,12,6,9,9,18,9,12,18,4,3,6,
3,12,6,3,1,3,3,3,9,4,4,4,3,3,1,3,3,3,3,4,1,3,1,1,1,1],[1,18,18,12,108,81,18,4,
16,4,12,4,81,81,81,108,18,108,108,162,18,162,324,18,108,162,4,12,24,12,12,324,
12,36,36,12,24,108,108,108,36,12,72,72,108,24,36,36,432,12,72,36,144,36,48,12,
12,36,36,108,324,81,162,162,162,16,24,24,8,6,6,24,6,16,108,108,36,108,72,108,
108,36,12,108,216,108,108,36,36,36,108,108,72,72,108,36,108,36,216,36,108,108,
36,36,108,36,216,108,12,108,108,108,108,108,36,108,36,108,432,36,36,36,12,36,
36,81,24,24,216,18,24,12,12,24,8,72,8,16,54,2,12,216,48,18,12,216,12,24,24,12,
2,24,12,24,36,24,12,12,12,144,72,24,4,12,54,54,36,72,18,36,4,24,144,144,24,72,
48,24,4,24,8,2,12,24,108,36,108,108,108,108,108,36,108,108,108,108,108,108,
108,36,108,108,16,4,12,4,4,72,12,36,36,36,18,18,36,144,12,72,36,36,36,12,72,
72,18,72,36,24,18,36,18,72,18,36,36,12,36,72,36,12,36,12,24,36,12,72,36,36,12,
24,18,12,12,36,2,18,36,12,36,18,72,144,18,12,72,18,12,36,18,12,24,18,36,12,18,
2,12,72,2,36,36,72,18,24,72,18,36,36,18,12,72,24,12,36,72,18,108,24,12,4,4,12,
12,16,12,4,12,12,12,12,4,48,36,4,12,4,4,8,4,24,48,12,24,12,12,8,8,4,12,4,36,
18,18,36,36,36,72,36,72,72,36,36,18,12,36,36,36,36,18,12,18,18,36,36,36,18,36,
18,18,12,1,12,12,4,24,12,48,12,12,12,12,12,4,12,12,12,12,24,24,4,24,12,12,4,
12,12,12,4,12,12,12,4,12,4,4,12,4,12,24,12,12,12,12,12,24,4,12,12,12,12,12,12,
18,18,18,4,2,2,2,1,4,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,2,
4,1,4,2,2,2,1,4,2,2,1,4,12,4,2,2,2,1,4,1],[1,6,54,81,54,4,16,4,12,4,108,243,
54,54,9,162,81,2,12,324,36,108,36,12,108,108,108,6,36,36,54,12,18,432,36,108,
72,24,6,6,18,18,81,81,54,162,81,16,24,24,8,6,6,24,6,16,324,6,108,54,54,324,36,
54,108,18,54,18,108,108,54,54,54,54,18,54,216,18,18,108,18,81,72,216,6,4,72,4,
8,54,36,216,24,6,216,6,72,12,6,12,18,12,6,6,144,36,72,2,36,54,54,18,36,54,18,
2,12,144,72,12,36,24,2,4,6,12,54,54,54,54,108,54,54,18,54,16,4,12,4,4,18,18,
72,36,18,6,36,54,54,108,36,54,108,216,18,18,6,36,12,36,18,18,9,18,6,18,36,72,
36,6,9,1,36,18,6,36,18,9,6,12,18,54,12,12,12,36,8,2,6,36,24,36,12,12,2,4,2,12,
48,6,12,6,12,4,4,2,6,18,54,9,9,36,9,6,18,9,18,18,18,1,6,6,12,6,24,6,6,2,6,6,6,
36,12,12,36,6,4,2,2,2,6,12,36,6,6,9,9,2,6,1,2,6,6,2,12,6,6,6,6,6,2,1,3,1,2,4,
2,6,1,1,2,1,2,1],[1,36,18,54,27,4,3,6,36,81,54,27,54,81,162,108,6,18,36,21,54,
27,18,18,54,18,36,18,36,108,108,45,36,18,27,162,81,81,108,4,6,3,12,24,54,18,
27,54,27,45,27,27,54,108,18,18,54,81,54,54,27,108,27,81,36,6,18,9,18,6,12,24,
3,18,12,36,12,9,18,36,18,24,6,6,27,27,54,27,27,27,27,27,27,27,27,1,8,4,18,9,
18,36,18,12,18,18,18,18,6,3,9,18,36,18,18,12,27,27,4,3,3,1,6,6,24,12,12,12,18,
18,9,9,9,4,12,3,3,3,3,6,3,1,3,6,9,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,6,54,
81,18,4,16,4,12,4,162,81,54,54,9,162,81,2,12,324,12,36,12,12,108,108,108,6,36,
36,54,12,18,432,36,36,72,24,6,6,18,18,81,81,81,16,24,24,8,6,6,24,6,16,108,6,
108,54,54,108,36,54,108,18,54,18,108,54,54,54,54,18,54,216,18,18,18,81,24,216,
6,4,72,4,8,54,12,216,24,6,216,6,24,12,6,12,18,12,6,6,144,36,24,2,12,54,54,18,
36,18,18,2,12,144,72,12,36,24,2,4,2,12,54,54,54,54,16,4,12,4,4,18,18,72,36,18,
6,36,18,18,36,36,36,18,72,36,18,18,6,12,36,18,18,9,18,6,18,36,72,36,6,9,1,36,
18,6,36,36,18,72,9,6,12,18,12,12,4,12,8,2,6,12,24,36,4,12,2,4,2,12,48,6,12,6,
12,4,4,2,6,18,9,9,36,9,18,9,18,1,6,6,12,6,24,6,6,2,6,6,6,12,12,12,12,6,2,2,2,
6,12,6,6,9,9,2,2,1,2,6,6,6,6,2,1,1,1,2,2,2,1,1,1,1],[1,54,18,81,18,4,16,4,12,
4,162,81,81,243,108,108,12,36,12,324,12,36,36,12,108,108,108,36,108,432,36,36,
108,81,81,81,162,162,16,24,24,8,6,6,24,6,16,324,36,108,108,36,108,108,108,108,
36,108,324,81,24,72,216,54,72,12,24,72,54,2,12,216,18,216,72,24,36,6,36,144,
24,12,54,54,18,144,24,24,2,12,108,108,16,4,12,4,4,12,36,12,216,18,72,36,18,36,
36,18,18,36,108,72,108,36,12,54,54,18,36,54,36,18,36,72,12,4,12,36,12,12,12,
36,12,12,36,4,12,4,48,12,4,36,54,18,36,18,36,36,18,18,1,12,4,12,36,12,12,12,
12,4,36,36,12,18,2,2,6,1,12,12,4,1,4,3,1,2,1,2,1,2,1,1],[1,18,54,81,18,4,16,4,
12,4,108,162,81,243,81,108,36,12,36,324,12,36,108,12,108,108,108,108,36,432,
12,36,36,162,81,81,81,162,16,24,24,8,6,6,24,6,16,108,36,108,108,36,324,108,36,
108,324,108,108,81,24,24,216,18,24,36,72,72,54,6,12,216,54,216,24,24,12,2,12,
144,24,12,54,54,18,144,72,72,2,36,108,108,16,4,12,4,4,12,36,12,72,18,216,18,
36,36,54,18,108,72,36,36,12,108,18,18,54,36,18,36,36,54,36,72,12,4,4,12,12,36,
36,12,12,4,36,4,12,12,48,12,12,36,36,18,36,54,18,36,18,18,1,12,4,12,12,36,12,
36,12,12,36,12,4,18,6,2,2,1,12,12,4,1,4,1,3,2,1,2,2,1,1,1],[1,54,81,72,4,16,4,
12,36,4,108,243,36,36,324,108,108,108,108,108,432,324,81,24,16,24,24,36,24,8,
36,24,6,12,6,36,24,24,6,16,54,27,324,108,324,108,216,36,72,72,54,6,216,54,216,
108,144,54,54,108,144,108,108,72,72,36,81,108,8,16,8,4,12,48,8,12,8,4,24,4,24,
4,27,216,54,108,108,54,36,54,12,36,36,72,36,36,12,12,48,36,12,12,54,27,4,4,8,
4,8,8,8,4,1,36,36,36,4,6,12,12,12,1,12,12,4,4,2,3,1,4,3,1,1,1],[1,18,27,72,4,
16,4,12,36,4,27,81,27,6,36,36,18,54,18,36,18,36,54,72,18,18,81,24,16,24,24,36,
24,8,36,24,6,12,6,36,24,24,6,16,18,54,27,81,54,54,27,27,27,36,36,36,18,12,12,
24,18,18,36,36,18,36,36,36,6,18,27,6,36,72,6,36,12,3,27,27,81,8,16,8,4,12,48,
8,12,8,4,24,4,24,4,27,27,9,18,27,18,3,9,27,36,4,6,18,24,18,18,6,6,36,12,6,12,
12,6,27,9,27,4,4,8,4,8,8,8,4,1,9,3,1,6,6,9,18,4,4,4,4,3,6,3,9,4,3,3,2,1,1,4,1,
3,1,1],[1,27,162,72,4,16,4,12,36,4,27,243,81,18,18,54,54,108,108,162,54,108,
216,324,648,54,54,243,24,16,24,24,36,24,8,36,24,6,12,6,36,24,24,6,16,54,162,
27,81,27,162,27,27,162,108,18,36,3,72,72,27,18,54,36,72,36,18,18,108,108,108,
54,108,54,36,72,216,108,72,36,36,18,36,81,81,81,162,8,16,8,4,12,48,8,12,8,4,
24,4,24,4,27,27,27,9,9,54,27,54,108,27,36,24,18,6,18,72,72,72,72,6,12,36,72,
18,36,18,36,18,6,27,27,27,4,4,8,4,8,8,8,4,1,9,18,3,18,9,1,18,24,6,24,24,3,24,
12,12,12,12,9,9,4,1,2,3,3,1,4,3,3,6,1,1],[1,27,162,72,4,16,4,12,36,4,27,243,
81,18,108,108,162,54,54,18,108,216,324,54,648,54,54,243,24,16,24,24,36,24,8,
36,24,6,12,6,36,24,24,6,16,162,162,27,27,81,54,162,27,27,36,27,36,108,72,72,
18,36,18,3,54,36,72,36,18,18,18,108,108,108,54,108,54,36,72,216,108,72,36,81,
162,81,81,8,16,8,4,12,48,8,12,8,4,24,4,24,4,108,54,27,27,54,9,27,27,27,9,36,6,
18,24,6,18,6,72,72,72,72,12,36,72,18,36,18,36,18,27,27,27,4,4,8,4,8,8,8,4,1,9,
9,18,18,3,1,18,24,6,24,24,24,12,3,12,12,12,9,9,4,1,3,1,3,2,4,3,6,3,1,1],[1,81,
72,4,16,4,12,36,4,243,324,108,108,108,432,324,81,24,16,24,24,36,24,8,36,24,6,
12,6,36,24,24,6,16,216,72,54,216,216,108,144,54,54,108,144,108,108,81,8,16,8,
4,12,48,8,12,8,4,24,4,24,4,54,54,54,108,12,72,36,36,12,48,36,12,36,4,4,8,4,8,
8,8,4,1,12,12,12,1,12,9,4,3,4,1,1],[1,81,54,72,4,16,4,12,36,4,108,243,324,36,
108,36,108,108,108,432,108,324,81,24,16,24,24,36,24,8,36,24,6,12,6,36,24,24,6,
16,324,324,108,54,108,27,72,216,72,54,36,216,216,72,108,144,72,36,54,54,54,
108,144,108,108,6,108,81,8,16,8,4,12,48,8,12,8,4,24,4,24,4,54,54,108,54,108,
216,36,27,12,12,36,72,36,36,36,12,12,48,36,12,54,27,4,4,8,4,8,8,8,4,1,36,36,4,
36,12,12,12,6,1,12,12,4,2,3,4,1,4,3,1,1,1],[1,54,81,72,4,16,4,12,36,4,243,108,
36,324,108,108,108,108,432,36,324,108,81,24,16,24,24,36,24,8,36,24,6,12,6,36,
24,24,6,16,324,108,108,54,324,27,72,216,54,72,72,54,216,216,72,36,6,108,36,
144,54,54,108,144,108,108,81,108,8,16,8,4,12,48,8,12,8,4,24,4,24,4,216,36,27,
108,108,54,54,54,12,12,36,36,72,36,12,36,12,48,36,12,27,54,4,4,8,4,8,8,8,4,1,
36,4,36,36,12,12,12,6,1,12,12,4,4,3,1,2,4,1,3,1,1],[1,27,18,72,4,16,4,12,36,4,
27,27,81,6,18,36,36,18,54,36,54,18,36,72,18,18,81,24,16,24,24,36,24,8,36,24,6,
12,6,36,24,24,6,16,54,27,81,54,27,54,27,27,18,36,36,18,18,36,12,12,24,3,27,18,
36,18,36,36,6,6,36,72,36,6,36,36,12,18,27,27,81,8,16,8,4,12,48,8,12,8,4,24,4,
24,4,27,27,27,9,27,9,18,3,36,18,4,24,18,18,18,6,6,36,12,6,12,12,6,6,27,9,27,4,
4,8,4,8,8,8,4,1,9,18,6,3,6,9,1,4,4,3,4,4,6,3,9,4,1,3,2,3,1,4,1,3,1,1],[1,27,
18,72,4,16,4,12,36,4,27,27,81,6,36,36,18,36,18,36,54,18,54,72,18,18,81,24,16,
24,24,36,24,8,36,24,6,12,6,36,24,24,6,16,27,27,54,81,54,54,18,27,27,36,36,36,
27,36,18,12,12,24,18,36,18,3,36,18,36,36,18,6,6,36,72,6,36,12,81,27,27,8,16,8,
4,12,48,8,12,8,4,24,4,24,4,36,9,27,27,18,3,27,18,27,9,4,6,18,24,18,18,6,6,36,
12,6,12,12,6,9,27,27,4,4,8,4,8,8,8,4,1,6,9,9,6,3,1,18,4,4,4,4,3,6,3,9,4,1,1,3,
3,2,4,3,1,1,1],[1,162,27,72,4,16,4,12,36,4,27,81,243,18,54,18,108,108,162,54,
108,54,216,324,648,54,54,243,24,16,24,24,36,24,8,36,24,6,12,6,36,24,24,6,16,
162,162,27,81,54,162,27,27,27,36,108,18,72,72,18,36,54,36,72,36,18,18,108,108,
108,36,18,54,108,27,54,36,72,216,108,72,3,36,162,81,81,81,8,16,8,4,12,48,8,12,
8,4,24,4,24,4,27,27,9,27,27,27,54,9,108,54,36,6,18,24,6,18,72,72,6,72,72,12,
36,72,18,36,18,36,18,27,27,27,4,4,8,4,8,8,8,4,1,9,3,18,1,18,9,18,24,6,24,24,
24,12,3,12,12,12,9,9,4,3,2,3,1,1,4,3,6,3,1,1],[1,54,54,81,54,4,16,4,12,4,108,
108,486,243,243,243,108,324,36,36,36,324,36,108,108,36,108,108,108,108,108,
432,36,108,108,486,243,243,81,243,81,81,243,486,486,162,16,24,24,8,6,6,24,6,
16,324,108,324,324,108,324,108,108,324,108,108,324,108,108,324,108,243,486,
243,243,72,72,216,54,72,36,72,72,54,6,36,216,54,216,72,72,36,6,36,144,72,36,
54,54,54,144,72,72,6,36,108,108,108,324,16,4,12,4,4,81,36,108,36,216,54,216,
36,54,108,108,54,54,108,108,108,216,108,108,36,36,108,54,54,54,108,54,108,36,
54,108,216,12,12,12,36,36,36,36,36,36,12,36,12,12,12,48,12,12,72,108,108,54,
54,108,54,54,54,108,54,54,108,108,54,54,1,36,12,36,36,36,36,36,4,36,4,36,36,
36,36,36,4,54,54,54,6,6,6,1,12,12,12,36,12,3,4,4,3,3,4,6,2,3,3,6,1,3,6,1,6,1,
3,3,6,3,3,1],[1,54,18,12,108,81,18,4,16,4,12,4,162,81,81,243,108,18,108,108,
108,162,18,162,324,18,108,162,108,4,12,24,36,12,324,12,36,36,12,24,108,108,
108,36,12,72,72,108,24,108,36,432,36,72,36,144,108,48,12,12,36,36,81,108,81,
324,324,81,162,162,162,162,162,108,162,16,24,24,8,6,6,24,6,16,108,324,36,108,
72,108,108,36,12,108,216,108,108,36,108,108,36,108,36,108,108,72,72,108,36,
108,36,216,36,108,108,36,36,108,36,216,108,12,108,324,108,108,108,36,108,36,
108,432,36,36,36,36,12,36,36,162,81,81,162,81,24,72,216,54,72,12,12,24,8,72,8,
16,54,2,12,216,48,18,12,216,12,72,24,36,6,24,12,24,36,24,12,36,12,144,72,24,4,
12,54,54,36,72,18,36,4,24,144,144,24,72,48,24,4,24,8,2,12,24,108,108,36,108,
108,108,36,108,108,108,36,108,108,108,108,108,108,108,108,108,108,36,108,108,
16,4,12,4,4,81,72,12,36,36,36,18,18,36,144,12,72,36,36,36,12,216,72,18,72,36,
24,36,18,36,36,18,72,18,36,108,36,12,36,72,108,36,12,36,12,24,36,12,72,36,36,
12,24,18,12,12,36,2,54,36,12,36,54,72,144,18,12,72,18,12,36,18,12,24,54,36,12,
18,2,12,72,2,36,36,36,72,18,24,72,18,36,36,36,72,18,12,72,24,12,36,72,12,18,
108,108,24,12,4,12,36,12,16,12,4,12,36,12,12,12,48,36,4,12,4,4,8,4,24,48,12,
24,12,12,8,8,4,12,4,36,36,18,12,18,36,36,18,36,36,36,72,36,72,72,36,36,18,54,
12,36,36,36,36,18,18,12,36,18,18,18,36,36,36,36,36,18,36,18,36,18,12,1,12,12,
4,24,12,48,12,12,12,12,12,4,36,12,12,12,12,12,24,24,4,24,12,12,4,12,12,12,4,
12,12,4,12,4,12,4,4,12,4,12,24,4,12,12,36,12,12,24,4,36,12,12,12,12,12,18,18,
18,18,18,18,18,18,18,4,2,2,6,1,4,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,4,12,12,12,12,12,12,18,4,2,4,1,4,4,2,2,2,3,4,2,2,1,4,4,2,12,12,2,1,4,4,
2,4,2,2,2,1,2,1,4,1,2,2,1,1,1],[1,18,18,81,54,4,16,4,12,4,108,162,243,81,81,
108,108,108,12,12,12,324,36,108,36,36,108,108,108,36,36,432,12,108,36,162,81,
81,81,162,162,162,16,24,24,8,6,6,24,6,16,108,36,108,324,108,36,108,108,324,36,
108,108,36,108,36,108,81,81,81,72,24,216,18,24,12,24,72,54,2,36,216,18,216,24,
72,12,2,12,144,72,36,54,54,54,144,24,24,6,12,108,108,108,108,16,4,12,4,4,81,
12,36,12,72,54,72,54,36,108,18,54,36,36,108,216,36,36,12,36,18,18,12,18,36,18,
36,36,18,36,72,12,12,12,4,12,36,12,12,12,36,4,36,12,12,4,48,12,4,36,36,18,54,
18,36,18,18,18,36,18,18,18,1,12,4,12,36,12,12,12,36,4,12,4,4,12,12,36,12,18,
18,18,2,6,2,1,12,12,12,12,4,3,1,1,4,4,4,2,2,1,1,2,2,2,1,1,1,1,1],[1,54,18,81,
18,4,16,4,12,4,162,81,81,108,243,108,108,108,12,36,12,324,12,36,36,12,108,108,
108,36,108,432,36,36,108,162,81,81,81,162,162,162,16,24,24,8,6,6,24,6,16,324,
36,108,108,108,36,108,108,108,108,36,108,36,108,324,36,81,81,81,24,72,216,54,
72,12,24,72,54,2,12,216,18,216,72,24,36,6,36,144,24,12,54,54,18,144,24,24,2,
12,108,108,108,108,16,4,12,4,4,81,12,36,12,216,18,72,36,18,36,36,18,18,36,36,
108,72,108,36,12,36,54,54,12,18,36,54,36,18,12,36,72,12,4,12,36,12,12,12,36,
12,12,36,4,12,4,48,12,4,36,18,18,54,18,36,18,18,36,18,36,18,18,1,12,4,12,4,12,
36,12,12,12,12,12,4,4,36,36,12,18,18,18,2,2,6,1,12,12,12,12,4,4,1,4,3,1,4,2,1,
2,2,1,2,2,1,1,1,1,1],[1,18,18,12,108,81,54,4,16,4,12,4,108,162,243,81,108,81,
108,18,108,108,162,18,162,324,18,108,162,4,12,24,12,12,324,36,108,36,36,24,
108,108,108,36,12,72,72,108,24,36,36,432,12,72,108,144,36,48,12,12,36,36,162,
162,81,81,108,324,81,108,162,162,162,324,162,16,24,24,8,6,6,24,6,16,108,108,
36,108,72,324,108,36,12,108,216,108,108,36,36,36,108,324,72,72,108,36,108,36,
216,36,108,108,36,36,108,36,216,108,108,108,12,108,108,108,108,108,36,108,36,
108,432,36,36,36,12,36,108,36,36,81,162,81,162,81,72,24,216,18,24,12,12,24,8,
72,8,16,54,2,36,216,48,18,12,216,12,24,72,12,2,24,12,24,36,24,12,12,12,144,72,
72,4,36,54,54,36,72,54,36,4,24,144,144,24,72,48,24,4,24,8,6,12,24,108,36,108,
108,108,108,108,36,108,108,108,108,108,108,108,108,108,108,36,108,36,108,108,
108,16,4,12,4,4,81,72,12,36,36,36,18,18,36,144,12,72,36,36,36,12,72,72,54,72,
36,24,54,36,108,18,72,54,36,108,36,12,36,216,36,36,12,36,36,12,36,24,36,12,72,
36,36,12,24,18,12,12,36,2,18,36,12,36,18,72,144,18,12,72,18,12,36,18,12,24,18,
36,12,18,2,12,72,2,36,36,72,18,24,12,72,18,36,36,36,72,18,12,72,24,12,36,72,
18,108,108,24,12,12,4,12,36,16,12,4,12,12,12,36,4,48,36,12,12,4,4,8,4,24,48,
12,24,12,12,8,8,4,12,4,36,18,36,18,36,36,18,54,36,18,36,18,36,36,72,36,72,72,
36,36,18,12,12,36,36,36,36,18,12,18,18,36,36,36,36,36,18,36,18,18,36,12,1,12,
12,4,12,24,12,48,12,12,4,12,12,12,4,12,12,36,12,24,24,4,24,12,12,4,12,36,12,4,
12,4,12,12,4,12,4,4,12,4,12,24,12,12,12,12,12,24,4,12,36,12,12,12,12,12,18,18,
18,18,18,18,18,18,18,4,2,6,2,1,4,4,12,12,12,4,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,18,4,4,2,4,3,4,2,2,2,1,4,2,2,1,4,4,2,12,12,4,2,2,4,
2,1,2,1,2,2,4,1,4,1,1,1,2,2,1],[1,18,54,81,18,4,16,4,12,4,108,162,81,243,108,
81,108,108,36,12,36,324,12,36,108,12,108,108,108,108,36,432,12,36,36,162,162,
81,81,81,162,162,16,24,24,8,6,6,24,6,16,108,36,108,108,36,324,108,108,36,108,
324,108,108,108,36,36,81,81,81,24,24,216,18,24,36,72,72,54,6,12,216,54,216,24,
24,12,2,12,144,24,12,54,54,18,144,72,72,2,36,108,108,108,108,16,4,12,4,4,81,
12,36,12,72,18,216,18,36,36,54,18,108,72,36,36,12,36,108,18,18,54,36,18,36,36,
36,54,12,36,72,12,12,4,4,12,12,36,36,12,12,4,36,4,12,12,48,12,12,36,18,36,18,
18,18,36,54,18,18,36,18,18,1,12,4,12,4,12,12,12,36,12,36,4,12,12,36,12,4,18,
18,18,6,2,2,1,12,12,12,12,4,4,1,4,1,3,4,2,2,2,1,2,2,1,1,1,1,1,1],[1,18,54,12,
108,81,18,4,16,4,12,4,108,162,81,243,81,108,18,108,108,162,18,162,324,18,108,
162,108,4,36,24,12,36,324,12,36,108,12,24,108,108,108,108,12,72,72,108,24,36,
36,432,12,72,36,144,36,48,12,12,36,36,162,81,81,108,108,324,324,81,162,162,
162,162,162,16,24,24,8,6,6,24,6,16,108,108,36,108,108,72,108,108,36,12,108,
216,108,324,36,36,36,108,108,72,72,108,36,108,36,216,108,36,108,108,36,36,108,
36,216,324,36,108,12,108,108,108,108,108,36,108,36,108,432,36,36,36,12,36,36,
81,162,162,81,81,24,24,216,18,24,12,36,72,8,72,8,16,54,6,12,216,48,54,12,216,
12,24,24,12,2,24,12,24,36,24,12,12,12,144,72,24,4,12,54,54,36,72,18,36,4,24,
144,144,24,72,48,72,4,72,8,2,36,24,108,36,108,108,36,108,108,108,108,36,108,
108,108,108,108,108,108,108,108,108,108,36,108,108,16,4,12,4,4,81,72,12,36,36,
36,18,18,36,144,12,72,36,36,36,12,72,72,18,216,36,24,18,36,36,54,72,18,108,36,
36,12,36,72,36,36,12,36,12,24,108,36,12,72,36,36,12,24,18,12,12,36,2,18,36,12,
36,18,72,144,12,54,12,72,18,12,36,18,12,24,18,36,12,18,2,36,12,72,2,36,36,72,
54,24,72,18,36,36,36,72,18,12,72,24,12,36,72,18,108,108,24,12,4,4,12,12,16,36,
4,36,12,12,12,4,48,36,4,12,12,4,8,4,24,48,12,24,12,12,8,8,4,12,12,36,18,18,36,
12,36,36,36,36,36,36,72,18,36,72,72,36,36,18,36,12,36,36,36,36,18,12,36,54,18,
18,36,36,18,36,18,36,18,36,18,18,12,1,12,12,4,24,12,48,12,12,12,12,12,4,12,12,
12,12,12,24,24,4,24,12,12,4,36,12,12,4,12,36,12,4,12,4,4,12,4,12,24,4,12,12,
12,12,12,24,4,12,36,12,4,12,12,12,12,18,18,18,18,18,18,18,18,18,4,6,2,2,1,4,4,
12,12,12,12,12,12,12,12,12,4,12,12,12,12,12,12,12,12,12,12,12,12,12,18,4,2,4,
1,4,2,4,2,2,1,4,2,2,3,4,4,2,12,12,4,4,2,2,1,2,2,2,2,1,4,1,4,2,2,1,1,1,1],[1,
18,162,81,54,72,4,16,4,12,36,4,108,243,162,162,27,486,243,6,36,36,324,36,108,
36,36,108,108,108,18,108,108,162,36,54,432,108,108,216,324,324,72,18,648,18,
54,54,243,81,162,486,243,24,16,24,24,36,24,8,36,24,6,12,6,36,24,24,6,16,324,
18,324,162,162,324,108,162,324,54,324,162,54,324,108,162,54,162,162,162,54,
162,648,54,54,108,54,27,243,72,36,36,216,108,18,12,72,12,24,54,36,216,72,72,
18,216,18,72,36,18,36,54,36,36,72,36,18,108,18,144,108,108,108,72,6,36,54,54,
54,108,54,54,6,36,108,144,72,108,216,36,108,108,72,72,6,36,12,6,36,162,81,27,
162,162,162,162,108,162,162,81,54,162,8,16,8,4,12,48,8,12,8,4,24,4,24,4,54,54,
216,108,54,18,108,54,108,54,108,108,54,108,216,54,54,18,36,36,108,54,54,108,
27,54,18,108,54,108,216,108,27,18,27,108,3,108,54,18,108,54,27,18,36,54,81,
162,36,4,12,12,36,24,24,6,72,18,36,36,72,36,72,12,72,72,12,6,36,12,12,6,36,72,
48,36,18,36,18,12,36,12,12,6,18,54,54,27,27,27,108,27,18,27,54,27,54,54,54,27,
4,4,8,4,8,8,8,4,1,18,18,36,18,72,18,18,6,36,18,18,18,36,36,36,36,18,4,6,6,6,
18,36,36,36,18,18,27,27,27,24,4,4,6,24,24,24,12,12,4,4,12,12,6,12,12,1,6,12,
12,18,18,6,12,18,18,18,18,18,4,6,3,2,3,3,12,6,12,4,12,6,1,12,18,4,4,4,1,3,3,3,
6,1,3,6,6,1,4,3,3,1,1,1,1],[1,54,18,162,81,72,4,16,4,12,36,4,243,162,27,108,
243,486,162,6,36,36,36,324,36,108,108,108,18,108,108,162,36,108,54,432,36,108,
216,324,324,108,72,18,648,18,54,54,81,486,243,243,162,24,16,24,24,36,24,8,36,
24,6,12,6,36,24,24,6,16,324,162,108,162,324,108,108,54,162,54,162,54,324,324,
162,54,324,18,162,324,162,162,27,162,648,54,54,54,243,36,36,72,216,54,72,108,
18,12,72,12,24,54,216,72,72,18,216,18,72,36,6,36,18,36,54,36,36,72,36,18,108,
36,18,144,108,108,108,6,54,54,54,108,54,6,36,108,144,72,108,216,36,108,108,72,
72,6,36,12,36,162,162,162,162,54,162,27,81,162,81,162,108,162,8,16,8,4,12,48,
8,12,8,4,24,4,24,4,108,54,54,27,27,54,216,108,54,54,216,108,54,108,36,36,108,
27,108,18,54,108,18,108,54,108,36,18,54,3,54,54,108,54,108,216,18,108,27,18,
54,108,54,54,108,18,162,81,36,4,12,12,36,24,24,6,36,72,18,36,12,72,36,72,72,
72,12,6,36,12,12,6,36,72,48,36,18,36,18,12,36,12,12,6,18,54,54,27,18,54,27,27,
108,27,54,54,27,27,27,54,4,4,8,4,8,8,8,4,1,36,18,72,18,36,18,6,36,18,18,18,36,
6,18,18,6,6,18,36,4,18,36,36,18,18,36,36,27,27,27,24,4,4,6,24,24,24,12,12,4,4,
12,12,6,12,12,1,6,12,12,18,18,18,18,18,12,6,18,18,4,4,6,12,3,3,1,6,12,3,6,12,
2,12,18,4,4,4,3,6,6,6,3,1,1,3,3,1,4,3,3,1,1,1,1],[1,54,18,162,81,72,4,16,4,12,
36,4,108,243,243,486,27,162,162,6,36,36,36,36,324,108,36,108,108,108,108,18,
108,108,162,36,54,432,108,216,324,324,72,18,648,18,54,54,81,162,486,243,243,
24,16,24,24,36,24,8,36,24,6,12,6,36,24,24,6,16,54,162,27,162,324,324,54,108,
54,324,108,324,162,162,162,54,324,324,54,108,162,162,162,54,162,648,18,54,243,
36,36,216,108,18,36,72,12,72,12,24,54,6,216,72,72,54,18,216,18,36,18,36,54,36,
36,72,36,18,108,18,144,108,108,108,6,54,54,54,108,54,6,36,108,144,72,108,216,
36,108,108,72,72,72,6,36,72,12,36,36,81,81,54,27,162,108,162,162,162,162,162,
162,162,8,16,8,4,12,48,8,12,8,4,24,4,24,4,54,54,216,108,54,54,27,108,216,108,
54,108,108,54,54,108,54,108,54,18,108,18,54,108,108,216,18,54,108,27,18,36,
108,36,18,3,54,108,54,36,27,54,54,18,108,27,81,162,36,4,12,24,24,36,6,36,72,
18,36,72,36,72,72,72,12,12,6,36,12,12,6,36,72,48,36,18,36,18,12,36,12,12,6,18,
12,27,27,18,54,54,108,54,54,54,54,27,27,27,27,27,4,4,8,4,8,8,8,4,1,36,18,72,
18,36,18,18,18,18,36,36,36,6,18,36,18,18,6,36,6,36,18,6,36,4,18,18,27,27,27,
24,4,4,6,24,24,6,24,12,12,4,4,12,12,12,12,1,6,12,12,12,6,18,18,18,18,18,18,18,
4,6,4,12,3,2,6,3,12,3,12,6,1,12,18,4,4,4,6,3,3,1,3,3,6,1,6,1,4,3,3,1,1,1,1],[
1,54,54,12,108,81,54,4,16,4,12,4,108,108,486,243,243,108,243,108,18,108,324,
108,162,18,162,324,18,108,162,108,108,4,36,24,36,36,324,36,108,108,36,24,108,
108,108,108,12,72,72,108,24,108,36,432,36,72,108,144,108,48,12,12,36,36,162,
486,243,243,81,108,243,81,108,81,324,324,324,243,108,162,162,486,162,162,486,
324,162,108,162,16,24,24,8,6,6,24,6,16,108,324,108,108,108,72,324,324,108,12,
108,216,108,324,36,108,108,36,108,36,108,324,72,72,108,36,108,108,216,108,36,
108,108,36,36,108,36,216,324,108,36,108,108,12,108,324,108,108,108,36,108,36,
108,432,36,36,36,36,12,36,108,36,36,243,162,81,486,162,162,162,243,81,243,162,
81,162,81,72,72,216,54,72,12,36,72,8,72,8,16,54,6,36,216,48,54,12,216,12,72,
72,36,6,24,12,24,36,24,12,36,12,144,72,72,4,36,54,54,36,72,54,36,4,24,144,144,
24,72,48,72,4,72,8,6,36,24,108,108,36,108,108,108,36,36,108,108,108,108,36,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,36,108,108,36,
108,108,324,16,4,12,4,4,81,81,81,81,81,81,81,72,36,36,36,108,18,18,36,144,36,
72,36,36,36,12,216,72,54,216,36,24,36,54,108,108,54,72,54,108,36,108,108,36,
12,36,216,108,108,36,36,36,12,36,24,108,36,12,72,36,36,12,24,18,12,12,36,2,54,
36,12,36,54,72,144,12,54,12,72,18,12,108,18,12,24,54,108,12,18,2,36,12,72,2,
36,36,36,72,54,24,12,72,18,36,108,36,216,18,12,72,24,12,36,72,12,18,108,108,
108,108,24,12,12,12,36,36,16,36,4,36,36,12,36,12,48,36,12,12,12,4,8,4,24,48,
12,24,12,12,8,8,4,12,12,81,36,36,18,72,12,36,18,108,108,12,36,54,54,18,36,108,
18,36,18,36,36,36,72,54,36,72,72,36,36,18,54,36,12,12,36,36,36,36,18,54,12,
108,54,18,18,54,36,36,36,18,108,36,18,108,18,36,54,36,54,36,12,1,36,12,12,12,
24,12,48,12,12,4,36,12,12,4,36,12,12,36,12,12,12,24,24,4,24,12,12,4,36,36,12,
4,12,4,36,4,12,4,12,4,4,12,4,12,24,4,4,12,12,36,12,12,24,4,36,36,36,36,4,12,
12,12,12,18,18,18,18,18,54,18,18,18,54,18,18,18,18,18,18,54,18,18,18,18,4,6,6,
6,1,4,4,12,12,12,12,4,12,12,12,12,12,12,12,12,12,12,12,4,12,12,12,12,12,36,12,
4,12,12,12,12,12,12,12,12,12,12,18,18,18,4,4,2,12,3,4,4,2,4,2,2,3,4,2,2,3,4,4,
4,4,6,12,12,12,12,2,4,2,3,4,4,2,2,4,4,2,3,6,1,2,3,6,1,2,6,4,1,4,3,4,1,1,2,2,3,
6,2,2,1,1,2,2,3,3,1,1,1,1,1,1,1,1],[1,54,54,81,54,288,4,16,4,12,144,4,108,108,
486,243,243,243,108,324,36,36,36,324,36,108,108,36,108,108,108,108,108,432,36,
108,1296,108,486,243,243,81,243,81,81,243,486,486,162,96,16,24,24,144,96,8,
144,96,6,48,6,144,24,96,6,16,216,324,108,108,324,324,108,324,108,108,324,216,
108,108,324,108,216,108,324,108,108,108,243,486,243,243,72,72,216,54,72,36,72,
72,54,6,36,216,54,216,72,72,36,6,432,36,144,72,36,54,54,54,432,144,432,432,72,
72,6,36,324,324,108,108,108,324,648,324,32,16,32,4,48,192,32,12,32,16,96,4,96,
4,81,36,108,36,216,108,54,216,36,54,108,108,54,54,108,108,108,108,216,108,108,
36,36,108,54,54,54,108,108,54,108,36,54,108,216,12,12,12,36,36,36,36,36,288,
144,36,12,36,12,12,12,48,144,12,12,72,108,108,54,54,108,54,108,54,108,54,108,
54,54,108,108,108,54,54,16,16,32,16,32,32,32,16,1,81,36,12,36,36,36,36,36,4,
36,4,36,36,36,36,36,4,54,54,54,6,48,48,48,6,6,1,48,12,12,12,36,72,16,12,8,3,4,
4,8,3,4,3,4,4,4,6,8,16,2,3,12,12,3,6,1,3,6,1,6,1,12,3,4,4,4,3,6,3,3,4,8,4,4,1,
1],[1,54,54,36,324,81,54,288,4,16,4,12,144,4,108,108,486,243,243,324,243,324,
54,108,324,324,486,54,486,972,54,324,486,324,324,12,36,72,144,36,36,324,36,
108,108,36,72,108,108,108,108,36,216,216,324,72,108,108,432,36,216,108,432,
1296,1296,108,144,36,2592,36,108,108,486,486,243,243,81,324,243,81,324,81,972,
972,972,243,324,486,486,486,486,486,486,972,162,324,486,96,16,24,24,144,96,8,
144,96,6,48,6,144,24,96,6,16,216,324,324,108,108,324,324,216,324,324,108,36,
324,648,324,324,108,108,108,108,324,108,324,324,216,216,324,108,324,216,108,
648,108,108,1296,324,324,108,108,324,108,648,324,108,108,324,216,108,36,324,
324,324,324,324,108,324,108,108,324,1296,108,108,108,108,36,108,108,108,108,
108,243,486,243,486,486,486,486,243,243,243,486,243,486,243,72,144,144,72,216,
54,72,432,36,36,72,24,72,24,48,54,6,36,216,144,288,54,36,216,36,72,72,36,6,72,
36,72,108,144,144,288,72,36,432,36,36,144,432,432,216,72,12,36,54,54,108,216,
54,108,12,72,432,144,288,432,432,72,432,216,144,288,72,12,144,72,24,6,36,72,
648,324,324,324,324,324,108,324,324,108,324,108,108,108,324,648,108,324,324,
324,324,324,108,324,324,108,324,324,108,324,108,324,324,324,324,324,324,324,
324,324,108,648,648,324,324,108,324,324,324,32,16,32,4,48,192,32,12,32,16,96,
4,96,4,243,243,243,243,243,81,243,216,36,108,108,108,54,54,108,432,36,216,108,
108,108,36,216,108,216,54,216,108,432,72,36,54,108,108,54,216,54,108,108,108,
108,108,108,36,108,216,108,108,36,108,108,36,36,72,108,108,36,216,108,108,36,
432,72,54,36,36,108,6,54,108,36,432,108,54,216,432,36,54,36,216,54,36,108,108,
54,36,72,54,108,36,54,432,6,36,36,216,6,108,108,108,216,54,72,36,216,54,108,
108,108,216,54,36,216,72,36,108,216,36,54,324,324,324,324,324,324,324,72,16,
12,12,12,36,36,48,96,36,12,36,36,288,36,144,36,12,144,36,288,12,288,288,12,12,
12,144,48,24,12,72,288,48,144,36,72,36,12,144,24,24,12,36,12,243,108,108,54,
72,36,108,108,54,108,108,36,108,54,54,54,108,108,108,54,108,54,108,108,108,
108,216,54,108,108,216,216,108,108,54,54,108,36,36,108,108,108,108,108,54,54,
108,36,108,54,108,54,54,54,108,108,108,108,54,108,108,54,108,54,108,54,108,54,
108,108,36,16,16,32,16,32,32,32,16,1,81,36,36,12,36,72,36,144,36,36,12,144,36,
36,36,12,36,36,36,36,36,36,36,72,72,12,72,36,36,12,36,36,36,12,36,4,36,12,36,
12,36,12,12,36,12,36,72,12,4,36,144,36,36,36,36,72,12,36,36,36,36,4,36,36,36,
36,54,54,54,54,54,54,54,54,54,108,54,108,54,54,54,54,54,54,54,54,108,54,54,54,
96,16,16,12,96,96,6,96,48,48,16,16,48,48,6,6,48,48,1,12,48,48,81,12,36,36,36,
12,12,36,36,36,12,36,36,36,36,36,12,36,12,36,36,36,36,36,36,36,12,36,72,36,36,
36,36,36,36,36,36,36,16,54,54,54,12,12,6,12,8,3,4,12,6,4,48,6,6,8,3,4,12,6,48,
6,3,4,12,48,12,4,12,4,6,8,48,36,36,36,36,16,16,16,6,12,2,3,12,4,12,4,12,12,12,
6,24,6,12,12,6,3,6,1,4,6,3,12,6,24,1,6,6,12,24,12,1,12,12,3,12,4,4,4,16,3,12,
3,6,6,3,6,6,6,3,12,3,6,12,6,3,3,4,4,4,4,8,4,4,4,4,4,1,3,3,3,3,3,3,4,4,4,3,1,
1]],
[1,2,2,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,27,
27,27,27,27,27,27,27,27,27,27,27,27,32,32,32,32,32,32,32,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,48,48,48,48,48,48,48,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,81,81,81,81,81,81,
81,81,81,96,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,162,162,162,
162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,162,
192,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,
243,288,288,288,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,
324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,432,432,432,
432,486,486,486,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,
648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,648,
648,648,648,972,972,972,972,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,
1296,1296,1296,1296,1296,1296,1296,1944,1944,1944,1944,1944,1944,1944,1944,
1944,1944,2592,2592,2592,2592,2592,2592,2592,3888,3888,3888,5184,7776,15552],
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637,774,772,460,773,666,653,772,736,664,673,662,659,772,537,533,460,703,661,
653,364,772,538,665,411,149,149,670,600,772,69,772,661,665,342,341,507,507,
699,461,507,699,460,699,191,193,189,507,457,339,340,341,339,340,341,186,587,
456,342,694,819,795,800,637,682,841,637,682,848,764,851,637,790,682,853,819,
557,461,460,661,673,461,460,533,457,460,653,772,456,291,457,460,661,662,670,
670,456,661,460,460,538,537,460,659,460,525,665,296,659,661,149,460,460,661,
665,460,653,299,461,666,659,457,532,673,772,460,456,460,460,460,666,460,665,
662,460,174,665,653,653,670,772,666,664,665,664,653,507,342,507,341,340,340,
339,507,507,507,339,507,342,507,709,637,637,710,533,738,714,397,772,772,736,
790,727,795,757,739,853,772,538,594,485,740,772,537,772,715,703,772,848,714,
772,703,665,637,598,482,728,772,364,772,772,598,407,427,537,713,831,772,740,
738,653,538,739,661,831,713,397,637,484,407,411,736,427,533,600,494,704,831,
637,728,800,851,772,710,273,460,455,459,456,459,653,456,460,664,460,659,673,
670,461,288,662,458,456,458,460,460,665,457,456,673,461,457,662,460,664,461,
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776,855,764,582,776,831,776,819,682,856,689,854,507,507,507,507,507,699,507,
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537,653,364,714,774,738,658,663,740,533,739,662,658,659,670,666,665,772,661,
538,671,663,772,653,666,772,773,713,659,653,772,537,661,665,772,397,710,739,
772,772,665,848,739,653,772,407,665,738,533,411,775,739,772,538,740,772,664,
661,738,772,728,740,653,772,739,427,851,775,772,538,853,670,653,661,537,738,
736,773,538,740,665,671,661,511,739,772,533,703,772,661,537,774,740,455,456,
457,458,459,460,461,728,819,830,832,831,774,773,757,682,772,831,775,772,475,
772,637,772,824,594,772,482,831,484,485,833,827,831,637,764,795,831,710,494,
764,598,772,713,772,821,598,790,800,831,772,831,507,665,670,738,727,774,673,
666,740,663,663,775,669,739,739,738,659,658,662,739,665,739,665,653,659,664,
533,740,662,653,537,538,665,665,739,738,674,772,773,653,661,664,661,653,739,
738,662,772,658,740,673,738,738,738,673,661,676,661,740,671,653,740,671,740,
661,740,670,739,666,664,772,819,819,776,819,776,776,776,819,859,699,772,772,
831,773,713,772,594,772,772,832,598,772,772,772,824,774,772,772,772,774,775,
774,710,728,831,713,772,772,831,772,773,772,831,775,854,775,824,772,831,772,
832,831,772,827,772,728,827,855,772,637,772,774,772,772,710,831,772,773,775,
772,856,773,772,772,772,740,740,740,739,738,740,740,738,738,662,739,664,739,
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772,775,824,774,727,775,772,773,775,775,774,773,772,772,819,738,739,740,832,
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857,854,824,764,831,854,827,856,847,840,771,772,773,774,775,819,819,819,848,
827,858,857,821,854,821,856,824,830,831,851,791,851,832,824,848,857,847,859,
855,853,857,830,847,804,859,853,847,833,809,832,859,827,833,857,831,856,855,
854,819,857,821,857,853,848,857,847,853,848,857,830,857,851,833,851,857,857,
856,854,856,855,841,854,855,856,855,854,859,857,857,857,857,857,857,854,855,
856,857,859,859],
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1,13,11,12,12,9,1,1,12,1,9,14,11,1,1,14,11,1,1,1,12,10,12,9,1,10,13,1,1,1,1,8,
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1,1,1,1,1,1,1,15,14,12,12,15,1,12,11,9,1,12,12,11,11,9,12,12,1,11,1,1,1,12,12,
9,14,1,1,1,24,12,9,14,12,13,1,12,12,1,12,1,14,14,9,14,1,16,1,12,12,11,12,12,
12,1,12,12,24,12,10,12,12,12,11,12,9,1,12,16,12,6,7,6,6,3,3,2,6,1,6,2,6,7,6,9,
13,13,11,100,1,12,105,1,12,12,12,104,12,12,109,113,12,111,114,103,1,1,101,113,
11,12,12,107,1,1,1,12,13,108,106,101,107,10,12,109,99,110,102,14,9,12,12,113,
107,12,9,1,12,12,111,9,114,98,14,10,1,11,11,1,112,14,12,13,14,12,109,12,100,
161,12,183,119,2,15,12,66,12,183,1,51,119,66,14,144,172,172,11,24,12,12,12,9,
66,14,14,9,11,12,9,51,44,44,51,12,12,3,12,16,44,115,95,11,12,12,12,7,12,10,1,
10,1,1,10,10,1,10,10,1,1,10,1,21,19,18,21,19,6,18,100,113,107,109,12,107,107,
113,114,107,111,109,12,12,113,100,15,101,113,101,113,108,12,107,107,113,109,
113,100,109,24,113,14,11,9,12,12,12,111,107,109,109,12,9,107,109,111,14,12,
109,101,12,109,109,105,100,109,113,107,12,107,109,113,12,110,12,107,100,99,
113,109,113,111,1,107,16,12,1,12,101,113,12,12,109,102,109,113,12,9,113,11,
113,107,14,107,12,109,111,113,109,107,107,104,1,109,11,12,12,107,101,107,113,
183,66,44,172,119,12,51,101,331,335,109,107,11,9,12,332,12,329,14,12,104,1,
114,12,107,114,329,106,109,98,103,325,113,12,13,326,12,12,100,112,323,99,107,
111,109,333,108,12,12,12,113,113,86,109,204,107,211,227,119,44,113,214,214,
215,227,109,109,107,51,247,373,109,109,109,109,12,220,418,100,113,132,113,101,
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107,107,107,162,107,270,107,113,248,113,113,248,113,107,113,66,109,251,183,
107,10,99,99,99,10,99,99,99,1,341,109,107,329,109,335,329,323,113,329,335,331,
107,329,109,107,107,329,329,329,107,113,325,325,101,107,111,109,329,329,329,
335,109,329,333,335,333,325,113,329,107,109,109,12,113,329,333,333,325,329,
326,329,325,107,12,100,113,329,109,113,113,333,335,113,329,12,113,247,220,251,
248,247,220,227,107,373,214,418,109,251,214,204,227,204,248,215,359,215,270,
270,580,331,331,329,583,332,113,584,333,585,331,331,323,335,109,107,581,326,
586,12,579,325,587,329,329,465,329,333,465,329,329,479,335,325,325,329,335,
329,325,465,487,329,107,113,333,109,329,487,479,479,511,333,329,335,215,487,
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[( 1, 2, 4, 8)( 3, 6, 7,11)( 5,10,12, 9),( 1, 3, 7,11,12, 8,10, 2, 5)
( 4, 9, 6)],
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3]],[[1,-1,2,3,1,1]],[[2,1,1,1,2,1,1,1]]],[[[1,1,2,-1],[3,1,1,-2,3,-1]],[[1,
-2,2,1,1,-2,2,-1]],[[2,3]]],[[[2,3]],[[1,1,2,-1]]],[[[2,1,1,1,2,-1,1,-2]],[[2,
1,1,-1,2,-1,1,-1]],[[1,-1,2,3,1,1]]],[[[2,1,1,-2,2,-1,1,-2]],[[2,2,1,-1,2,1,1,
-2]],[[1,-1,2,3,1,1]]],[[[2,2,1,-1,2,1,1,1,2,1]],[[1,-2]]],[[[1,-2],[3,1,2,-1,
3,1,2,-1,1,-1]],[[2,3]]],[[[1,1,2,-1,1,-1,2,-1,1,-2]],[[2,1]]],[[[1,1,2,-3,1,
-1]],[[2,2,1,-1,2,-1,1,1]],[[2,3]]],[[[1,-1,2,-1,1,1,2,-1,1,-2]],[[1,1,2,-1,1,
-1]]],[[[2,1,1,1,2,-1,1,-2]],[[1,1,2,1],[3,-2,2,1]],[[1,1,2,-3,1,-1]]],[[[1,
-2,2,2,1,1,2,1]],[[2,1,1,1,2,-2,1,1]],[[1,-2],[2,-1,3,1,2,-2]],[[1,1,2,1],[3,
1,1,-2,3,-1]]],[[[2,2,1,-1,2,-2]],[[2,1,1,-2,2,-1]],[[1,-2]]],[[[1,1,2,1],[2,
1,3,1,2,1,3,1]],[[1,1,2,1,1,-2,2,1]],[[2,1,1,-1,2,1,1,-1]]],[[[2,2,1,1,2,1,1,
-2]],[[1,1,2,1,1,1,2,-2]],[[2,1,1,1]]],[[[2,1,1,-2,2,2,1,1]],[[2,1,1,-1,2,1,1,
-2,2,1]],[[2,3]],[[1,-1,2,3,1,1]]],[[[1,1,2,-1,1,-2,2,1]],[[2,1,1,1,2,-1,1,
-2]],[[1,1,2,-3,1,-1]]],[[[1,1,2,-2,1,1,2,-1]],[[2,3]],[[1,1,2,1,1,1,2,
-1]]],[[[1,-1,2,-1,1,1,2,-1,1,-2]],[[2,1,1,-1]]],[[[2,1,1,-1,2,-1,1,-1,2,
1]],[[1,-1,2,2]],[[2,1,1,1]]],[[[1,1,2,-2,1,-1,2,1]],[[1,1,2,-1,1,-1,2,-1]],[[
2,3]]],[[[1,-1,2,-2,1,1,2,1]],[[1,1,2,-1,1,1,2,-1]],[[2,3]]],[[[1,-1,2,1,1,
-2]],[[2,-1]]],[[[2,2,1,-1,2,1,1,1,2,1]],[[2,1,1,-1,2,-1]],[[1,-2]]],[[[1,1,2,
4,1,1]],[[2,-1]]],[[[1,1,2,-1,1,-2]],[[2,-1]]],[[[1,-2,2,1,1,1]],[[1,-1,2,1,1,
-1,2,1]],[[2,3]]],[[[1,1,2,-2,1,-1,2,-1]],[[1,-2]]],[[[2,1,1,-2,2,1,1,-1,2,
1]],[[1,1,2,-1,1,1,2,-1]],[[2,1,1,1,2,1,1,1]],[[2,3]]],[[[2,1,1,-2,2,1,1,1,2,
1]],[[2,2,1,-2,2,1]],[[1,-2,2,-1,1,1,2,1]]],[[[2,1,1,1,2,-2]],[[1,1,2,-1,1,
-1]]],[[[1,-2,2,1,1,-2,2,-1]],[[2,2,1,-1,2,1]],[[2,3]]],[[[2,1,1,-2,2,1,1,1,2,
1]],[[1,-2]]],[[[1,1,2,1,1,-2,2,1]],[[1,-1,2,1,1,-1,2,1]],[[1,1,2,-3,1,
-1]]],[[[1,-2],[2,-1,1,1,2,1,3,1]],[[1,1,2,-1,1,1,2,-1]],[[1,-2,2,1,1,-1,2,1,
1,1]],[[2,3]]],[[[2,2,1,-1,2,-1,1,1]],[[1,1,2,-1,1,-1,2,-1]],[[2,3]]],[[[1,-1,
2,1,1,-1,2,1]],[[2,1,1,1,2,1,1,1]],[[2,3]]],[[[1,-2],[2,-1,3,1,2,1]],[[1,-2,2,
-3]],[[1,-2]],[[2,1,1,-2,2,-1]]],[[[1,1,2,1,1,-2,2,1]],[[2,2,1,1]]],[[[1,-2],[
2,-1,1,1,2,1,3,1]],[[2,1,1,1,2,1,1,1]],[[2,1,1,-2,2,1,1,1,2,1]],[[2,3]]],[[[1,
1,2,1,1,-1,2,-2]],[[2,1,1,-2,2,-1]],[[2,3]]],[[[2,2,1,-1,2,1,1,1,2,1]],[[2,3,
1,1]],[[1,-2]]],[[[2,1,1,1,2,-1,1,-1,2,1]],[[2,1,1,-2,2,-1]],[[2,3]]],[[[2,1,
1,-1,2,1,1,-2,2,1]],[[1,-1]]],[[[2,1,1,1,2,-1,1,1,2,1]],[[1,1,2,-1,1,1,2,
-1]],[[1,-1,2,1,1,-1,2,1]]],[[[1,1,2,-1,1,-1,2,-1,1,-2]],[[2,4,1,1]],[[2,1,1,
1]]],[[[2,2,1,-1,2,-1,1,1]],[[1,-1,2,1,1,-1,2,1]],[[2,3]]],[[[2,1,1,-1,2,-1,1,
-2,2,1]],[[2,1,1,-2,2,1,1,-2]],[[1,1,2,3,1,-1]]],[[[1,-2,2,2,1,1]],[[1,-2,2,
-1,1,1,2,1]],[[2,3]]],[[[2,2,1,1,2,1]],[[2,3]],[[1,-2]]],[[[2,1,1,-1,2,-1,1,
-1,2,1]],[[1,-1,2,3,1,1]],[[2,1,1,1,2,1,1,1]],[[1,1,2,1,1,1,2,1]]],[[[2,1,1,
-2,2,1,1,1,2,1]],[[2,1,1,-1,2,-1,1,-1,2,1]],[[2,3]]],[[[1,1,2,1],[3,-2,2,
1]],[[2,1,1,-1,2,1,1,-1]]],[[[1,1,2,-1,1,-1,2,-1,1,-2]],[[1,1,2,-1,1,1,2,
-1]],[[2,1,1,1,2,1,1,1]],[[2,3]]],[[[2,1,1,-2,2,-1,1,-2]],[[1,1,2,-1,1,1,2,
2]],[[1,-2,2,-1,1,1,2,-2]]],[[[1,1,2,1,1,-2,2,1,1,1]],[[2,1,1,1,2,-3,1,-1]],[[
2,1]]],[[[1,-1,2,1,1,-1,2,1]],[[1,1,2,1,1,-1]]],[[[2,2,1,-1,2,1,1,1,2,1]],[[1,
-2,2,3]],[[1,-2]]],[[[1,1,2,-2,1,1,2,-1]],[[2,3]],[[1,1,2,1,1,1,2,-1]],[[2,1,
1,1,2,-1,1,-2]]],[[[1,-2,2,1,1,1]],[[2,1,1,-1]]],[[[1,1,2,4,1,1]],[[1,1,2,-1,
1,-2]],[[2,1]]],[[[2,2,1,-1,2,1]],[[1,1,2,-1,1,1,2,-1]],[[2,3]]],[[[1,1,2,-2,
1,-1,2,1]],[[1,-2,2,1,1,-1]],[[2,1,1,1,2,1,1,1]]],[[[1,-1,2,1,1,-1,2,1]],[[1,
-2,2,1,1,1]],[[1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1,2,1,1,-1]],[[1,1,2,-1,1,1,2,
-1]],[[1,-2]]],[[[1,1,2,-1,1,-1,2,-1]],[[2,1,1,-1,2,1,1,1]],[[1,-1,2,1,1,-1,2,
1]]],[[[2,1,1,-1,2,-1,1,-1,2,1]],[[1,-1,2,2]],[[1,1,2,1,1,1,2,1]]],[[[1,-1,2,
1,1,1,2,-2]],[[2,1,1,-1]]],[[[2,1,1,-1,2,1,1,-1]],[[2,1,1,1]]],[[[2,3,1,1]],[[
2,1,1,-1,2,-1]],[[1,-2]]],[[[1,-2,2,1,1,-1,2,1,1,1]],[[2,1,1,1,2,-2,1,1]],[[2,
1,1,-1,2,1,1,-1]],[[1,-2,2,-1,1,1,2,-2]]],[[[2,1,1,-2,2,-1]],[[2,2,1,1,2,
1]],[[1,-2]]],[[[1,1,2,1,1,-2,2,1]],[[2,2,1,1]],[[2,1,1,-1,2,-2,1,-1]]],[[[1,
-2,2,-1,1,1,2,1]],[[2,1,1,-1,2,1,1,1]],[[2,3]]],[[[2,1,1,-2,2,-1]],[[1,1,2,-1,
1,-1,2,-1]],[[2,3]],[[1,1,2,1,1,1,2,1]]],[[[1,1,2,1,1,1,2,1]],[[2,3]],[[1,
-2]],[[2,1,1,1,2,1,1,-1]]],[[[1,-1,2,2,1,-1]],[[2,1]],[[1,1,2,1,1,1]]],[[[1,1,
2,-1,1,-2,2,1]],[[2,1,1,1,2,-1]],[[1,-2]]],[[[1,1,2,-3,1,-1]],[[1,-2,2,-1,1,
1]],[[2,1]]],[[[1,1,2,1,1,-1]],[[2,1,1,1,2,1]],[[2,3]]],[[[2,1,1,-1,2,-1,1,
-1]],[[1,-1,2,1,1,1]],[[2,3]]],[[[2,1,1,1,2,-1,1,1]],[[1,-2]],[[2,3]]],[[[2,1,
1,-2]],[[1,1,2,1,1,-1]]],[[[1,1,2,2,1,-2]],[[2,-1]]],[[[1,1,2,-1,1,-1]],[[1,
-1,2,1]]],[[[2,1,1,-1,2,1,1,-2,2,1]],[[1,-1]],[[1,-2,2,3]]],[[[1,-1,2,1,1,-1,
2,1]],[[2,1,1,1,2,1,1,-1]],[[1,-2]],[[2,1,1,-2,2,-1]]],[[[1,-1,2,1,1,-1,2,
1]],[[2,1,1,-1]],[[1,-2,2,1,1,1]]],[[[1,-1,2,-1]],[[2,1,1,-1]]],[[[2,2,1,-1,2,
1]],[[2,1,1,1]]],[[[2,2,1,1,2,1]],[[2,1,1,1,2,1,1,1]],[[1,-2]]],[[[2,2,1,-1,2,
1]],[[2,1,1,-1]]],[[[1,1,2,1,1,1,2,1]],[[1,-1,2,2]],[[1,-2,2,1,1,-1]],[[1,-1,
2,-1]]],[[[2,1,1,1,2,-1]],[[1,-1]],[[2,3]]],[[[1,-2,2,-1]],[[1,-1,2,1]]],[[[1,
-1,2,1,1,-2]],[[1,1,2,1,1,1]],[[2,1]]],[[[2,2,1,1,2,1]],[[2,1,1,1]],[[1,
-2]]],[[[1,1,2,-1,1,-1]],[[2,1]],[[1,-2,2,1]]],[[[1,1]],[[2,1]]]]);

AFLT( "(S3xS3xA5):2", "O8-(2)", [1,2,3,3,3,4,4,6,5,5,6,7,10,11,27,27,20,13,21,13,
23,9,23,19,18,28,9,24,29,31,41,30,32,30,30,39,38,34,38,38,33,37,30,35,33,42,
33,38,32,40,39,36,35,36,70,71,136,137,62,93,92,95,75,67,142,142,146,77,145,
151,151,153,153,152,155,158,156,159,157,160,178,170,172,161,166,179,182,183,
195,179,179,180,184,191,187,174,185,198,179,185,175,196,176,184,174,189,193,
190,177,198,188,192,185,186,185,191,194,202,201,229,391,659,662,403,660,399,
706,711,707,720,706,712,712,712,714,713,708,715,716,714,721,712,709,720,717,
718,707,712,717,709,710,719,723,727,725,729,724,728,726,793,799,737,741,786,
765,794,743,756,769,796,789,800,809,816,803,810,802,796,790,819,792,818,816,
804,801,823,825,828,832,831,833,834,830,826,827,829,1637,1952,1970,1953,1965,
1964,1971,1974,1954,1955,1973,1956,1967,1968,1953,1957,1977,1958,1972,1978,
1981,1959,1976,1977,1958,1980,1953,1977,1973,1975,1958,1979,1962,1961,1960,
1960,1963,1982,1983,1984,1987,2049,2014,2002,2046,2105,2104,2109,2110,2112,
2110,2113,2112,2111,2118,2121,2122,2130,2125,2124,2129,2126,2128,2127,2123,
3174,3179,3185,3170,3189,3198,3196,3202,3203,3197,3199,3183,3192,3187,3182,
3177,3186,3200,3205,3204,3188,3184,3201,3199,3195,3210,3214,3212,3213,3216,
3215,3288,3395,3393,3397,3396,3394,3400,3403,3398,3397,3400,3399,3401,3410,
3406,3411,3415,3414,4035,4057,4058,4049,4056,4048,4047,4039,4052,4082,4083,
4086,4087,4085,4088,4090,4091,4089,4302,4308,4299,4309,4306,4305,4300,4303,
4307,4304,4314,4313,4317,4675,4692,4690,4699,4695,4697,4694,4696,4701,4700,
4832,4831,4830,4833,4841,4950,4995,4994,4992,5080,5108,5111,5110,5216,5220,
5221,5269]);


AFLT( "(3xU4(2)):2","O8+(2)", [1,2,3,3,6,8,7,10,9,8,11,11,10,13,43,26,21,15,
15,46,32,46,46,34,40,35,41,49,53,68,55,71,76,53,67,69,61,68,58,73,58,53,75,74,
71,76,79,71,79,62,61,63,64,61,59,66,66,60,65,80,65,66,155,88,87,112,168,233,
262,208,262,129,93,94,261,261,278,211,212,143,146,267,267,269,101,269,291,228,
269,227,285,287,292,294,294,299,297,298,293,297,295,292,300,297,296,300,299,
296,303,301,302,305,312,309,329,313,339,356,337,403,344,341,322,365,321,359,
367,405,356,337,330,403,332,317,331,390,370,386,334,373,381,348,362,365,356,
334,370,390,341,398,395,394,401,398,387,375,392,383,393,386,352,385,390,401,
409,412,475,697,1183,452,1172,904,1189,468,757,1185,1263,1223,992,960,1271,
949,1273,1206,1178,975,1023,976,961,1032,1021,1297,950,1293,1302,1302,1324,
1323,1320,1321,1323,1349,1322,1325,1338,1338,1334,1308,1308,1332,1330,1306,
1350,1351,1332,1352,1354,1307,1305,1328,1336,1334,1334,1352,1334,1336,1328,
1330,1311,1356,1311,1356,1353,1318,1336,1309,1319,1358,1349,1316,1332,1319,
1344,1346,1314,1343,1342,1344,1314,1310,1312,1313,1359,1361,1360,1318,1314,
1319,1345,1315,1317,1315,1348,1348,1347,1317,1366,1372,1366,1380,1382,1438,
1378,1445,1447,1506,1397,1448,1441,1440,1383,1439,1379,1385,1386,1381,1384,
1526,1453,1533,1534,1407,1393,1460,1412,1417,1463,1404,1540,1456,1453,1564,
1517,1521,1537,1530,1507,1571,1544,1567,1401,1506,1482,1576,1511,1394,1483,
1480,1546,1512,1509,1428,1493,1583,1461,1456,1408,1494,1592,1574,1596,1587,
1590,1581,1581,1597,1576,1593,1546,1504,1504,1588,1590,1595,1598,1511,1594,
1540,1556,1560,1601,1605,1601,1600,1604,1602,1603,1603,1607,1608,1606,1609,
1604,1611,1610,1618,1612,1615,1621,2917,3052,2900,3356,3338,2950,3054,3042,
2910,3411,3443,3542,3527,3406,3547,3596,3560,3602,3560,3602,3599,3551,3613,
3558,3615,3560,3615,3550,3637,3611,3551,3642,3655,3630,3657,3639,3571,3630,
3652,3642,3657,3568,3630,3626,3573,3648,3627,3574,3579,3591,3584,3583,3645,
3627,3573,3566,3566,3646,3647,3582,3631,3574,3618,3651,3563,3648,3584,3589,
3593,3650,3595,3574,3651,3649,3585,3595,3665,3670,3851,3841,3873,3797,3831,
3838,3872,3854,3834,3684,3878,3882,3888,3894,3901,3815,3710,3881,3696,3708,
3922,3887,3892,3938,3919,3915,3898,3812,3860,3940,3909,3906,3905,3913,3960,
3761,3772,3703,3765,3789,3689,3786,3950,3929,3706,3776,3782,3762,3829,3747,
3948,3925,3770,3687,3952,3954,3745,3926,3957,3792,3948,3930,3924,3955,3933,
3958,3932,3928,3956,3931,3966,3972,3981,3972,3969,3987,3989,3982,3972,3988,
3989,3986,3969,3994,3994,3981,3991,3980,3998,3983,3990,3985,3998,3974,3993,
3999,3973,3984,3994,3977,3977,3993,3984,3975,4000,3978,3985,3976,4001,3979,
3979,4002,4004,4005,4003,4016,4012,4029,4026,4030,4550,4574,5833,5775,5821,
5777,5600,5858,5878,5866,5862,5851,5887,5860,5856,5850,5887,5861,5886,5859,
5857,5853,5855,5852,5854,5932,5867,5883,5940,5872,5935,5938,5875,5930,5881,
5928,5960,5965,5905,5954,5965,5952,5892,5960,5967,5892,5905,5945,5908,5957,
5914,5916,5916,5921,5969,5974,5975,5980,5977,5976,5979,5978,5981,5982,5992,
5984,5999,6050,5990,6034,6028,5986,6030,6175,6342,6368,6401,6413,6387,6373,
6405,6377,6348,6431,6390,6365,6433,6226,6419,6425,6189,6375,6422,6428,6397,
6335,6395,6234,6416,6381,6252,6253,6444,6473,6444,6495,6493,6473,6495,6477,
6454,6448,6497,6458,6448,6458,6497,6487,6487,6463,6461,6466,6469,6475,6484,
6487,6479,6506,6469,6467,6452,6457,6475,6458,6500,6507,6461,6505,6471,6470,
6471,6468,6511,6509,6526,6515,6509,6524,6536,7639,7690,7699,7703,7669,7693,
7683,7688,7671,7737,7673,7739,7677,7730,7724,7711,7726,7684,7696,7675,7728,
7720,7721,7717,7716,7712,7754,7715,7719,7756,7748,7714,7722,7718,7713,7759,
7767,7766,7768,7768,7775,7774,7773,7771,7772,7776,7785,7783,7777,7784,7779,
7778,7781,7786,7782,7780,7802,7800,7824,7855,7832,7820,8048,7864,7860,7826,
8045,8025,8030,7868,8362,8013,8360,8023,8347,8344,8356,8034,8389,8337,8387,
8393,8403,8404,8404,8411,8433,8406,8430,8441,8430,8433,8437,8411,8424,8415,
8426,8426,8415,8406,8434,8419,8448,8454,8456,8465,9174,9165,9205,9166,9204,
9234,9163,9178,9169,9272,9266,9248,9245,9271,9261,9264,9258,9254,9252,9290,
9304,9299,9306,9297,9317,9314,9299,9319,9317,9310,9324,9323,9322,9325,9327,
9326,9330,9345,9340,9346,9333,9335,9339,9648,9557,9552,9558,9563,9652,9655,
9652,9654,9670,9677,9676,9675,9998,10007,9989,9992,10004,10081,9993,10075,
10074,10077,10001,10056,9995,10063,10058,10085,10094,10061,10071,10054,10119,
10122,10116,10110,10117,10118,10148,10126,10125,10135,10132,10136,10139,10132,
10139,10142,10144,10153,10155,10158,10166,10164,10375,10379,10385,10387,10390,
10449,10548,10545,10550,10541,10542,10574,10569,10575,10578,10577,10576,10604,
10738,10740,10734,10753,10758,10760,10755,10764,10788,10783,10785,10853,10908,
10940,10937,10943,10968,11120,11140,11150,11158]);
AFLT( "(3xU4(2)):2","O8+(2)", [1,2,4,4,6,7,9,10,8,7,11,11,10,16,43,27,20,14,
14,45,33,45,45,36,39,37,41,50,54,69,55,70,76,54,68,67,60,69,57,75,57,54,74,73,
70,76,78,70,78,63,60,64,62,60,61,66,66,59,65,80,65,66,155,85,86,113,169,234,
263,210,263,128,92,91,260,260,279,209,213,142,145,270,270,268,100,268,291,230,
268,229,285,286,292,293,293,299,296,294,298,296,295,292,297,296,300,297,299,
300,301,302,303,304,311,308,330,314,338,355,336,402,345,340,320,366,323,360,
368,404,355,336,331,402,332,318,329,389,369,387,333,380,374,349,361,366,355,
333,369,389,340,399,393,395,401,399,385,376,392,384,394,387,351,386,389,401,
410,413,474,696,1184,453,1173,905,1190,469,758,1186,1264,1222,993,959,1270,
948,1274,1205,1177,973,1024,974,962,1031,1020,1296,951,1293,1303,1303,1321,
1322,1324,1320,1322,1349,1325,1323,1338,1338,1335,1309,1309,1333,1329,1305,
1351,1354,1333,1353,1350,1306,1307,1331,1337,1335,1335,1353,1335,1337,1331,
1329,1312,1357,1312,1357,1358,1318,1337,1316,1319,1352,1349,1308,1333,1319,
1345,1343,1315,1342,1346,1345,1315,1311,1310,1313,1361,1360,1359,1318,1315,
1319,1347,1317,1314,1317,1348,1348,1344,1314,1365,1373,1365,1379,1381,1439,
1380,1446,1444,1505,1398,1449,1441,1438,1382,1440,1378,1386,1384,1383,1385,
1527,1452,1535,1532,1416,1392,1459,1413,1406,1464,1405,1539,1455,1452,1566,
1516,1522,1536,1529,1508,1570,1543,1565,1400,1505,1481,1575,1514,1395,1479,
1496,1545,1513,1510,1427,1495,1584,1462,1455,1409,1484,1593,1573,1595,1586,
1591,1582,1582,1596,1575,1588,1545,1503,1503,1592,1591,1597,1598,1514,1594,
1539,1557,1561,1600,1605,1600,1602,1604,1601,1603,1603,1609,1607,1606,1608,
1604,1611,1610,1619,1613,1616,1622,2918,3053,2899,3355,3337,2951,3055,3041,
2909,3410,3444,3541,3526,3405,3548,3597,3559,3603,3559,3603,3598,3552,3612,
3549,3616,3559,3616,3557,3636,3614,3552,3643,3655,3629,3658,3640,3570,3629,
3653,3643,3658,3580,3629,3632,3572,3649,3628,3575,3569,3583,3585,3582,3647,
3628,3572,3565,3565,3645,3646,3591,3625,3575,3617,3651,3588,3649,3585,3564,
3584,3648,3595,3575,3651,3650,3593,3595,3664,3671,3850,3842,3874,3796,3835,
3837,3871,3853,3830,3685,3879,3883,3889,3895,3902,3816,3711,3880,3697,3707,
3921,3886,3891,3937,3918,3914,3897,3811,3861,3939,3908,3903,3904,3912,3959,
3760,3746,3702,3775,3790,3688,3785,3949,3928,3705,3764,3781,3763,3828,3771,
3947,3926,3769,3686,3951,3953,3748,3924,3956,3791,3947,3929,3925,3957,3931,
3958,3933,3930,3955,3932,3966,3971,3980,3971,3970,3986,3990,3982,3971,3987,
3990,3988,3970,3995,3995,3980,3989,3983,3998,3981,3991,3985,3998,3975,3992,
3999,3974,3984,3995,3976,3976,3992,3984,3973,4000,3977,3985,3978,4001,3979,
3979,4002,4003,4004,4005,4015,4013,4028,4025,4031,4549,4575,5832,5776,5820,
5778,5601,5857,5879,5865,5863,5859,5888,5855,5860,5858,5888,5853,5886,5852,
5850,5854,5856,5851,5861,5933,5868,5882,5939,5873,5936,5937,5874,5929,5880,
5927,5959,5964,5904,5953,5964,5951,5893,5959,5967,5893,5904,5946,5907,5957,
5922,5915,5915,5913,5968,5974,5975,5977,5976,5980,5981,5979,5978,5982,5989,
5985,5991,6051,5998,6033,6029,5987,6027,6174,6341,6369,6402,6414,6388,6372,
6404,6374,6347,6430,6394,6364,6434,6225,6418,6424,6188,6376,6421,6427,6396,
6334,6391,6233,6415,6380,6251,6254,6443,6472,6443,6496,6493,6472,6496,6476,
6455,6449,6498,6459,6449,6459,6498,6488,6488,6467,6460,6463,6468,6474,6478,
6488,6483,6506,6468,6466,6451,6456,6474,6459,6501,6507,6460,6504,6471,6469,
6471,6470,6510,6508,6527,6514,6508,6523,6535,7638,7691,7700,7702,7668,7694,
7682,7689,7670,7738,7672,7740,7678,7731,7725,7712,7727,7685,7697,7676,7729,
7716,7714,7720,7717,7713,7753,7721,7718,7756,7749,7715,7719,7722,7711,7758,
7767,7766,7769,7769,7773,7775,7774,7771,7772,7776,7783,7784,7778,7785,7777,
7779,7782,7786,7780,7781,7803,7801,7823,7856,7827,7821,8049,7861,7865,7833,
8046,8026,8024,7869,8363,8012,8359,8029,8348,8345,8357,8035,8386,8336,8388,
8394,8403,8405,8405,8410,8432,8407,8429,8441,8429,8432,8437,8410,8424,8416,
8425,8425,8416,8407,8435,8420,8447,8453,8457,8465,9164,9175,9206,9167,9203,
9233,9162,9168,9177,9273,9267,9249,9246,9270,9260,9263,9257,9255,9253,9291,
9305,9300,9307,9296,9316,9313,9300,9319,9316,9309,9324,9323,9321,9327,9326,
9325,9329,9344,9341,9347,9332,9334,9338,9649,9556,9551,9564,9559,9653,9655,
9653,9654,9669,9677,9676,9675,9990,10008,9997,9991,10005,10082,10002,10076,
10073,10078,9994,10057,9996,10059,10064,10084,10093,10070,10060,10055,10117,
10121,10116,10109,10118,10119,10148,10127,10124,10135,10133,10137,10140,10133,
10140,10143,10145,10152,10154,10157,10165,10163,10376,10380,10386,10388,10390,
10450,10547,10540,10549,10544,10543,10573,10570,10576,10578,10575,10577,10603,
10737,10741,10735,10752,10758,10761,10756,10763,10787,10782,10784,10854,10907,
10940,10938,10944,10967,11121,11139,11149,11157]);
AFLT( "(3xU4(2)):2","O8+(2)", [1,2,5,5,6,9,7,10,8,9,11,11,10,12,43,25,19,24,
24,47,30,47,47,38,18,42,41,51,52,67,55,72,76,52,68,69,59,67,56,73,56,52,74,75,
72,76,77,72,77,64,59,63,62,59,61,66,66,60,65,80,65,66,155,96,95,103,170,239,
259,218,259,131,144,134,264,264,249,205,206,127,139,271,271,288,152,288,291,
176,288,175,285,289,292,298,298,299,300,294,293,300,295,292,297,300,296,297,
299,296,301,303,302,306,310,307,331,315,342,357,343,406,346,347,324,371,319,
358,372,407,357,343,330,406,332,316,329,391,388,385,335,378,377,350,379,371,
357,335,388,391,347,396,393,394,401,396,387,397,392,400,395,385,354,386,391,
401,411,414,480,695,1181,451,1171,906,1182,470,944,1191,1265,1207,1017,1040,
1269,989,1272,1247,1180,983,918,988,1033,1039,1041,1298,1042,1293,1304,1304,
1321,1325,1320,1324,1325,1349,1322,1323,1338,1338,1340,1316,1316,1341,1326,
1306,1354,1351,1341,1358,1350,1305,1307,1327,1339,1340,1340,1358,1340,1339,
1327,1326,1310,1355,1310,1355,1353,1318,1339,1309,1319,1352,1349,1308,1341,
1319,1347,1343,1317,1346,1342,1347,1317,1311,1312,1313,1359,1360,1361,1318,
1317,1319,1345,1315,1314,1315,1348,1348,1344,1314,1367,1376,1367,1379,1383,
1440,1378,1442,1443,1515,1399,1450,1441,1438,1382,1439,1380,1384,1386,1381,
1385,1528,1454,1541,1542,1414,1396,1458,1418,1415,1465,1420,1538,1457,1454,
1568,1518,1520,1547,1531,1519,1572,1548,1569,1402,1515,1470,1577,1523,1403,
1497,1500,1555,1524,1525,1430,1498,1579,1501,1457,1432,1499,1588,1578,1597,
1589,1585,1580,1580,1596,1577,1593,1555,1502,1502,1592,1585,1595,1598,1523,
1594,1538,1563,1562,1602,1605,1602,1600,1604,1601,1603,1603,1609,1608,1606,
1607,1604,1611,1610,1620,1614,1617,1637,2923,3064,2901,3359,3339,2964,3083,
3050,2914,3416,3427,3545,3528,3414,3553,3600,3567,3604,3567,3604,3601,3581,
3610,3555,3621,3567,3621,3556,3638,3609,3581,3641,3655,3622,3656,3644,3578,
3622,3654,3641,3656,3577,3622,3624,3590,3650,3635,3594,3576,3583,3593,3591,
3647,3635,3590,3592,3592,3646,3645,3582,3623,3594,3633,3651,3586,3650,3593,
3587,3584,3648,3595,3594,3651,3649,3585,3595,3667,3669,3852,3843,3875,3801,
3832,3836,3870,3855,3833,3690,3876,3884,3890,3896,3900,3814,3712,3877,3704,
3701,3923,3885,3893,3941,3920,3907,3899,3813,3862,3942,3916,3910,3917,3911,
3961,3757,3778,3709,3773,3780,3713,3721,3943,3930,3700,3774,3767,3777,3824,
3779,3945,3925,3768,3699,3944,3946,3766,3924,3955,3795,3945,3929,3926,3957,
3933,3958,3931,3928,3956,3932,3966,3967,3983,3967,3968,3987,3991,3982,3967,
3986,3991,3988,3968,3997,3997,3983,3989,3980,3998,3981,3990,3985,3998,3973,
3996,3999,3974,3984,3997,3978,3978,3996,3984,3975,4000,3977,3985,3976,4001,
3979,3979,4002,4005,4004,4003,4017,4014,4027,4024,4032,4548,4590,5836,5789,
5824,5766,5618,5850,5877,5869,5864,5851,5889,5855,5856,5858,5889,5853,5886,
5852,5857,5861,5860,5859,5854,5931,5870,5884,5941,5871,5942,5943,5876,5934,
5885,5926,5958,5966,5906,5955,5966,5947,5896,5958,5967,5896,5906,5944,5917,
5957,5924,5925,5925,5923,5970,5974,5975,5977,5980,5976,5979,5981,5978,5982,
5997,5983,6002,6052,6003,6035,6031,5988,6032,6180,6343,6370,6400,6412,6389,
6371,6403,6378,6353,6432,6393,6367,6435,6229,6420,6426,6193,6379,6423,6429,
6398,6340,6392,6231,6417,6383,6259,6256,6445,6482,6445,6494,6493,6482,6494,
6481,6453,6447,6499,6465,6447,6465,6499,6489,6489,6467,6462,6466,6470,6492,
6491,6489,6490,6506,6470,6463,6450,6464,6492,6465,6502,6507,6462,6503,6471,
6469,6471,6468,6513,6512,6530,6522,6512,6525,6537,7644,7692,7701,7704,7666,
7695,7681,7687,7674,7735,7680,7732,7679,7734,7723,7713,7733,7686,7698,7667,
7736,7716,7714,7717,7720,7712,7755,7715,7722,7756,7752,7721,7719,7718,7711,
7757,7767,7766,7770,7770,7775,7773,7774,7771,7772,7776,7785,7784,7778,7783,
7779,7777,7781,7786,7780,7782,7805,7804,7825,7857,7830,7822,8050,7859,7858,
7831,8047,8036,8015,7877,8364,8014,8361,8016,8349,8346,8358,8037,8391,8342,
8390,8392,8403,8408,8408,8412,8431,8409,8428,8441,8428,8431,8437,8412,8424,
8422,8427,8427,8422,8409,8436,8423,8449,8455,8461,8465,9171,9170,9208,9176,
9207,9235,9161,9172,9173,9274,9268,9250,9247,9269,9262,9265,9259,9256,9251,
9295,9303,9301,9308,9298,9318,9312,9301,9319,9318,9311,9324,9323,9320,9327,
9325,9326,9331,9349,9343,9348,9337,9336,9342,9647,9560,9553,9568,9569,9651,
9655,9651,9654,9671,9677,9676,9675,9986,10006,9985,9999,10003,10083,9987,
10079,10072,10080,9988,10062,10000,10066,10065,10086,10095,10067,10068,10069,
10119,10120,10116,10108,10118,10117,10148,10128,10123,10135,10134,10138,10141,
10134,10141,10146,10147,10151,10156,10159,10167,10168,10377,10378,10384,10389,
10390,10451,10546,10539,10551,10538,10537,10572,10568,10577,10578,10575,10576,
10605,10739,10742,10736,10754,10758,10759,10757,10762,10789,10781,10786,10855,
10909,10940,10939,10942,10969,11122,11141,11151,11156]);
AFLT( "3^4:2^3.S4(a)","O8+(2)", [1,5,3,2,6,6,4,10,7,10,9,11,11,8,15,14,48,39,
40,45,18,30,25,24,31,33,35,27,42,41,26,32,37,46,47,55,53,67,55,52,58,65,54,70,
79,57,68,60,61,59,71,75,61,59,80,69,77,62,66,56,60,78,66,65,80,72,76,73,66,74,
64,63,229,280,221,225,129,262,223,128,151,131,288,153,269,99,263,152,227,276,
175,101,277,268,166,259,100,295,299,300,297,300,302,295,296,301,298,299,293,
297,296,303,294,292,317,370,396,382,322,334,397,371,389,353,363,360,388,385,
369,398,373,347,357,343,335,350,384,399,366,365,354,337,351,316,364,387,356,
374,392,352,394,379,349,375,348,386,390,355,403,333,318,341,358,392,391,383,
395,376,336,400,381,324,393,401,377,380,378,406,359,402,340,361,320,362,953,
962,1251,679,961,1253,1033,952,473,1016,1258,1256,1252,1250,1335,1338,1325,
1341,1317,1355,1339,1315,1354,1330,1336,1322,1313,1325,1338,1312,1302,1329,
1315,1319,1359,1356,1351,1314,1307,1340,1337,1327,1304,1358,1350,1353,1342,
1322,1318,1360,1308,1305,1348,1326,1306,1318,1314,1317,1344,1333,1321,1331,
1311,1310,1343,1345,1357,1346,1320,1309,1345,1319,1313,1344,1348,1352,1347,
1347,1349,1361,1334,1324,1323,1332,1323,1303,1328,1316,1503,1563,1479,1483,
1577,1428,1550,1585,1562,1464,1451,1506,1463,1515,1581,1502,1465,1497,1555,
1430,1553,1557,1549,1545,1523,1540,1546,1582,1538,1561,1539,1511,1591,1514,
1590,1556,1552,1576,1560,1427,1505,1504,1391,1580,1558,1551,1554,1575,1559,
1608,1604,1609,1602,1604,1610,1606,1603,1607,1605,1611,1601,1606,1600,3136,
3164,3165,3048,3044,2021,3043,3592,3561,3645,3586,3619,3578,3644,3647,3651,
3554,3649,3646,3631,3623,3549,3594,3599,3648,3569,3574,3587,3595,3621,3567,
3580,3606,3572,3642,3650,3643,3601,3573,3657,3622,3629,3626,3609,3633,3575,
3590,3605,3562,3625,3658,3557,3559,3552,3630,3618,3556,3584,3632,3582,3550,
3585,3581,3570,3637,3638,3624,3553,3577,3583,3612,3584,3617,3641,3593,3595,
3602,3568,3555,3585,3652,3558,3598,3634,3654,3610,3551,3576,3620,3614,3640,
3593,3548,3560,3611,3628,3547,3656,3564,3589,3627,3579,3615,3603,3565,3639,
3563,3608,3591,3607,3653,3636,3635,3616,3613,3588,3566,3604,3571,3769,3945,
3947,3768,3770,3856,3948,3977,3966,3980,3971,3968,3997,3995,3998,4000,3993,
3982,3994,3996,4002,3999,3979,3992,3967,3979,3984,4004,3970,4002,4003,3983,
3972,3987,3998,3985,3991,3988,3978,4005,3985,4001,3973,3976,3975,3981,4001,
3990,3989,3986,3974,3969,4664,5924,5958,5955,5956,5889,5932,5964,5954,5891,
5894,5887,5896,5949,5904,5944,5965,5895,5870,5951,5901,5946,5912,5961,5960,
5868,5925,5950,5941,5902,5916,5915,5914,5962,5907,5906,5892,5900,5888,5923,
5963,5939,5921,5913,5953,5948,5931,5899,5890,5905,5867,5917,5947,5918,5940,
5922,5893,5919,5952,5897,5911,5945,5898,5908,5920,5910,5966,5909,5959,5933,
5903,5975,5977,5981,5976,5982,5979,5978,5980,5974,6023,6485,6483,6446,6498,
6468,6467,6471,6478,6466,6496,6507,6480,6506,6479,6482,6489,6456,6463,6460,
6499,6497,6447,6470,6475,6481,6474,6490,6464,6453,6461,6459,6504,6454,6448,
6443,6458,6494,6491,6455,6484,6472,6476,6500,6473,6451,6469,6495,6445,6450,
6471,6457,6465,6503,6502,6492,6477,6462,6488,6487,6486,6444,6449,6505,6452,
6501,7746,7705,7742,7743,7710,7750,7754,7709,7744,7735,7751,7738,7745,7753,
7706,7741,7752,7755,7747,7708,7737,7748,7707,7749,7782,7773,7774,7772,7781,
7786,7768,7780,7784,7777,7775,7767,7776,7785,7769,7770,7779,7776,7766,7771,
7778,7783,7842,8413,8423,8425,8435,8411,8405,8417,8442,8409,8410,8422,8428,
8420,8416,8436,8412,8407,8404,8414,8440,8438,8430,8439,8421,8426,8408,8427,
8443,8415,8418,8429,8433,8406,8431,8432,8419,8434,8465,9277,9275,9276,9316,
9322,9313,9302,9307,9296,9301,9320,9309,9299,9326,9311,9314,9306,9298,9303,
9323,9310,9327,9312,9297,9300,9318,9324,9321,9305,9317,9304,9315,9308,9325,
9656,9653,9651,9652,9676,9677,9675,10128,10132,10112,10113,10142,10121,10136,
10122,10134,10137,10149,10124,10147,10127,10140,10141,10123,10115,10131,10109,
10120,10125,10114,10143,10129,10145,10108,10126,10130,10146,10144,10133,10110,
10139,10138,10111,10150,10387,10389,10388,10390,10564,10574,10563,10566,10568,
10559,10571,10569,10567,10562,10573,10561,10570,10572,10565,10560,10558,10760,
10756,10764,10762,10765,10761,10759,10755,10757,10763,10846,10852,10847,10849,
10850,10848,10851,10938,10939,10937,10966,11012,11077]);
#############################################################################

#############################################################################
##
#E