GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tm4l34mx.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tm4l34mx.tom,v 4.4 2001/07/05 06:54:47 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains tables of marks of maximal subgroups of
## $2^2.L3(4).2_2$, $2^2.L3(4)$, $2^2.L3(4).3$ and $2^2.L3(4).3.2_2$
##
#H tomlib history
#H --------------
#H $Log: tm4l34mx.tom,v $
#H Revision 4.4 2001/07/05 06:54:47 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.4 of tomlib coincides with Rev. 4.3 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tm4l34mx.tom,v
#H Working file: tm4l34mx.tom
#H head: 4.3
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.3.0.6
#H GAP4R2PRE2: 4.3.0.4
#H GAP4R2PRE1: 4.3.0.2
#H GAP4R1: 4.1.0.6
#H GAP4B5: 4.1.0.4
#H dec16-98b: 4.1
#H GAP4b4: 4.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1
#H keyword substitution: kv
#H total revisions: 4; selected revisions: 4
#H description:
#H ----------------------------
#H revision 4.3
#H date: 1999/10/07 07:08:55; author: gap; state: Exp; lines: +10 -10
#H renamed 2^2.L2(7) to 2^2xL2(7), and 2^2.(7:3x3) to A4x7:3
#H
#H TB
#H ----------------------------
#H revision 4.2
#H date: 1999/10/06 10:25:37; author: gap; state: Exp; lines: +6 -6
#H changed strange name 2^2.A6 to 2^2xA6
#H
#H TB
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:19:35; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/19 13:19:55; author: gap; state: Exp;
#H added new table of marks library files
#H ==========================================================================
#H
Revision.tm4l34mx_tom :=
"@(#)$Id: tm4l34mx.tom,v 4.4 2001/07/05 06:54:47 gap Exp $";
SetActualLibFileName("tm4l34mx");
LIBTOM( "2^2.(2^4S5)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,2,3,
12],[1,4,13],[1,5,14],[1,5,6,15],[1,5,6,16],[1,2,6,17],[1,4,5,18],[1,2,4,5,
19],[1,7,20],[1,6,21],[1,8,22],[1,3,5,6,23],[1,4,6,24],[1,5,8,25],[1,5,7,26],[
1,4,5,27],[1,3,4,6,28],[1,2,9,29],[1,2,30],[1,10,31],[1,6,10,32],[1,6,10,33],[
1,4,6,34],[1,7,8,35],[1,5,36],[1,2,7,8,37],[1,6,8,38],[1,6,39],[1,4,10,40],[1,
7,10,41],[1,5,6,42],[1,2,10,43],[1,5,6,44],[1,5,10,45],[1,8,10,46],[1,7,10,
47],[1,5,48],[1,4,7,8,49],[1,8,10,50],[1,7,8,51],[1,6,7,52],[1,4,6,53],[1,8,
10,54],[1,4,9,55],[1,6,10,56],[1,5,57],[1,10,58],[1,6,8,10,59],[1,6,60],[1,6,
7,8,61],[1,5,7,10,62],[1,4,7,10,63],[1,3,7,10,64],[1,6,7,10,65],[1,5,8,10,
66],[1,4,8,10,67],[1,5,9,68],[1,7,8,10,69],[1,7,8,10,70],[1,6,71],[1,3,8,10,
72],[1,8,10,73],[1,7,10,74],[1,7,10,75],[1,4,76],[1,4,5,6,77],[1,8,9,78],[1,7,
79],[1,7,9,80],[1,8,81],[1,82],[1,7,11,83],[1,8,11,84],[1,2,11,85],[1,9,11,
86],[1,10,11,87],[1,9,11,88],[1,3,11,89],[1,2,4,5,13,18,19,90],[1,2,4,5,14,19,
27,91],[1,3,4,6,13,24,28,92],[1,5,6,8,16,25,38,93],[1,4,5,6,15,27,34,94],[1,2,
3,4,5,6,12,17,19,23,28,95],[1,5,6,7,16,26,52,96],[1,5,6,14,15,42,97],[1,2,4,5,
6,15,16,17,19,24,98],[1,2,7,8,20,37,51,99],[1,5,9,14,68,100],[1,2,6,17,21,39,
101],[1,3,5,6,14,23,44,102],[1,3,5,6,21,23,42,103],[1,3,4,6,21,28,34,104],[1,
2,7,8,22,35,37,105],[1,2,4,5,6,17,19,44,53,106],[1,2,4,5,19,48,107],[1,5,6,16,
39,44,108],[1,5,6,15,48,109],[1,3,4,5,6,15,16,18,23,24,28,110],[1,5,6,10,16,
32,33,45,111],[1,5,6,15,36,112],[1,2,4,5,10,19,40,43,45,113],[1,5,6,16,48,
114],[1,2,4,5,19,36,115],[1,5,6,15,21,39,44,116],[1,4,5,6,14,16,27,77,117],[1,
5,6,10,15,45,56,118],[1,5,6,16,36,119],[1,5,6,7,8,15,25,26,61,120],[1,2,4,5,7,
8,19,25,26,37,49,121],[1,3,8,10,22,72,73,122],[1,2,3,9,12,29,30,123],[1,2,10,
31,43,58,124],[1,3,7,10,20,64,75,125],[1,3,7,10,31,64,74,126],[1,3,8,10,31,54,
72,127],[1,5,6,8,10,15,33,38,59,66,128],[1,4,5,6,18,27,34,44,77,129],[1,3,5,6,
7,10,23,33,52,62,64,130],[1,4,7,8,10,13,40,49,63,67,131],[1,3,5,6,8,10,23,25,
45,59,72,132],[1,2,6,7,8,10,17,37,43,59,65,133],[1,2,3,7,8,10,12,37,43,64,72,
134],[1,5,8,9,25,68,78,135],[1,2,7,8,10,37,43,46,50,75,136],[1,2,7,8,10,37,41,
43,47,73,137],[1,2,4,5,19,57,138],[1,4,5,7,26,27,48,139],[1,4,5,6,16,21,34,53,
77,140],[1,5,7,14,26,48,141],[1,2,4,5,6,17,19,34,42,77,142],[1,5,6,16,71,
143],[1,5,7,10,20,26,41,62,74,144],[1,5,7,26,57,145],[1,2,6,7,8,17,37,38,52,
61,146],[1,4,6,7,10,24,33,52,63,65,147],[1,4,5,6,18,27,42,53,77,148],[1,3,5,6,
7,10,23,26,45,64,65,149],[1,2,4,5,9,19,29,55,68,150],[1,5,7,8,10,26,47,51,66,
69,151],[1,5,6,15,71,152],[1,3,4,5,6,23,28,39,42,77,153],[1,2,6,10,17,32,33,
43,56,154],[1,4,5,8,10,18,25,45,66,67,155],[1,4,5,7,10,18,26,45,62,63,156],[1,
4,5,7,8,10,18,40,49,62,66,157],[1,5,6,16,39,42,44,158],[1,3,4,6,28,60,159],[1,
4,5,6,13,27,34,53,77,160],[1,5,14,57,161],[1,4,5,8,25,27,48,162],[1,4,6,8,10,
24,32,38,59,67,163],[1,4,5,6,21,24,42,44,77,164],[1,5,8,25,57,165],[1,2,4,5,
19,30,166],[1,4,7,8,10,35,46,49,63,74,167],[1,4,7,8,10,22,49,50,67,70,168],[1,
3,4,5,6,23,28,34,39,77,169],[1,5,8,10,22,25,46,54,66,170],[1,4,6,24,34,39,53,
171],[1,4,6,7,8,24,38,49,52,61,172],[1,3,4,6,7,10,28,32,52,63,64,173],[1,5,8,
14,25,48,174],[1,4,7,8,10,20,47,49,63,70,175],[1,4,6,21,24,39,53,176],[1,3,4,
6,8,10,28,33,38,67,72,177],[1,4,5,27,57,178],[1,4,6,10,24,32,33,40,56,179],[1,
4,5,6,24,27,34,42,77,180],[1,3,5,6,8,10,23,32,38,66,72,181],[1,5,6,7,10,15,32,
52,62,65,182],[1,5,6,16,60,183],[1,4,5,9,27,55,68,184],[1,4,7,8,10,41,49,51,
54,67,185],[1,5,7,8,10,25,35,50,62,69,186],[1,3,4,6,28,71,187],[1,5,7,9,26,68,
80,188],[1,4,5,6,14,18,42,44,77,189],[1,2,4,5,19,76,190],[1,3,4,5,6,23,27,28,
44,53,191],[1,5,6,15,60,192],[1,4,5,10,27,36,45,193],[1,5,6,7,42,52,71,194],[
1,2,7,8,37,81,195],[1,6,7,39,52,71,196],[1,5,7,8,10,26,35,62,66,70,74,75,
197],[1,5,7,8,10,31,45,62,66,69,73,75,198],[1,6,7,8,10,20,35,52,61,65,69,74,
199],[1,3,5,6,7,8,10,23,56,61,62,64,66,72,200],[1,6,8,10,31,32,46,56,58,59,73,
201],[1,5,7,8,10,25,51,54,62,66,70,73,202],[1,6,8,10,33,50,56,58,59,73,203],[
1,5,7,9,26,57,68,204],[1,4,7,8,49,76,205],[1,4,5,18,36,48,206],[1,5,6,10,32,
42,71,207],[1,3,4,6,7,8,10,28,40,49,59,64,65,72,208],[1,5,7,26,79,209],[1,6,7,
10,47,52,56,65,74,75,210],[1,4,5,6,24,34,39,44,53,77,211],[1,5,8,10,45,50,54,
58,66,73,212],[1,6,7,21,52,60,213],[1,6,7,8,10,33,61,65,70,73,74,75,214],[1,4,
7,8,9,49,55,78,80,215],[1,3,7,8,10,54,58,64,69,70,72,216],[1,5,9,48,57,68,
217],[1,4,6,7,8,10,24,56,59,61,63,65,67,218],[1,2,4,5,7,8,10,19,37,43,62,63,
66,67,219],[1,5,6,7,26,36,44,220],[1,6,7,8,10,33,46,47,54,59,61,69,221],[1,2,
6,17,60,71,222],[1,5,10,14,36,45,223],[1,4,7,8,10,40,58,63,67,69,73,75,224],[
1,4,8,10,40,46,54,58,67,73,225],[1,5,6,10,44,45,48,226],[1,5,6,10,44,45,48,
227],[1,4,6,7,34,52,60,228],[1,6,10,21,33,71,229],[1,5,8,25,81,230],[1,4,7,8,
49,81,231],[1,4,7,8,10,49,51,63,67,69,73,74,232],[1,2,6,9,17,29,30,233],[1,4,
9,13,55,76,234],[1,5,7,10,45,47,58,62,74,75,235],[1,6,10,32,39,71,236],[1,6,7,
8,10,41,52,56,59,69,70,75,237],[1,6,7,10,31,33,41,56,58,65,75,238],[1,2,7,8,
37,79,239],[1,4,5,9,27,57,68,240],[1,2,7,8,9,29,37,78,80,241],[1,6,7,8,10,35,
38,51,54,61,65,70,242],[1,6,7,8,10,22,38,51,54,59,61,69,243],[1,4,5,6,15,39,
42,44,53,77,244],[1,6,10,33,39,60,245],[1,5,9,48,57,68,246],[1,5,6,7,8,10,16,
56,59,61,62,65,66,247],[1,6,8,21,38,71,248],[1,6,7,8,10,32,41,50,61,65,69,74,
249],[1,6,7,8,10,32,54,59,61,70,73,75,250],[1,4,5,9,18,55,76,251],[1,6,7,10,
32,47,56,58,65,75,252],[1,3,4,6,7,8,10,28,56,61,63,64,67,72,253],[1,4,7,8,10,
31,40,47,50,63,67,70,254],[1,3,7,8,10,46,50,51,64,72,75,255],[1,5,6,8,25,36,
44,256],[1,4,6,10,33,34,71,257],[1,6,8,10,38,50,54,56,59,73,258],[1,4,7,8,49,
79,259],[1,3,7,8,10,35,41,47,64,72,73,260],[1,3,7,8,10,58,64,69,70,72,74,
261],[1,5,9,14,57,68,262],[1,5,48,57,263],[1,6,8,38,39,60,264],[1,2,7,8,30,37,
265],[1,5,6,9,16,57,68,266],[1,3,5,6,23,60,71,267],[1,6,7,8,10,35,51,52,59,61,
70,74,268],[1,5,6,9,15,57,68,269],[1,4,5,27,76,270],[1,4,6,24,60,71,271],[1,2,
7,8,10,37,43,54,69,70,74,272],[1,5,6,10,33,42,60,273],[1,3,5,6,23,36,48,274],[
1,4,7,8,10,35,49,54,63,67,69,75,275],[1,4,6,8,34,38,71,276],[1,4,7,10,40,41,
58,63,74,75,277],[1,5,9,48,68,278],[1,6,7,8,10,38,46,56,65,69,70,73,279],[1,5,
7,8,10,41,45,46,58,62,66,70,280],[1,4,6,24,60,71,281],[1,5,6,8,38,42,60,282],[
1,5,8,9,25,57,68,283],[1,4,6,10,32,34,60,284],[1,6,10,21,32,60,285],[1,4,6,9,
53,55,76,286],[1,8,9,22,78,81,287],[1,7,9,10,41,79,80,288],[1,7,9,20,79,80,
289],[1,4,9,10,40,55,76,290],[1,7,9,10,47,79,80,291],[1,5,36,292],[1,7,8,9,51,
79,80,293],[1,8,9,10,50,78,81,294],[1,2,9,10,29,30,43,295],[1,8,9,10,46,78,81,
296],[1,7,8,9,35,78,81,297],[1,7,82,298],[1,8,82,299],[1,2,82,300],[1,3,82,
301],[1,10,82,302],[1,5,11,14,303],[1,8,11,22,304],[1,4,11,13,305],[1,6,11,21,
306],[1,7,11,20,307],[1,2,11,30,85,308],[1,2,9,11,29,85,86,309],[1,2,11,30,85,
310],[1,2,10,11,43,85,87,311],[1,2,7,8,11,37,83,84,85,312],[1,10,11,31,313],[
1,2,3,11,12,85,89,314],[1,2,9,11,29,85,88,315],[1,7,9,11,80,83,86,88,316],[1,
3,7,10,11,64,83,87,89,317],[1,8,9,11,78,84,86,88,318],[1,3,8,10,11,72,84,87,
89,319],[1,2,3,4,5,6,12,13,15,16,17,18,19,23,24,28,90,92,95,98,110,320],[1,5,
6,16,39,42,44,108,158,321],[1,2,3,4,5,6,12,14,17,19,23,27,28,44,53,91,95,102,
106,191,322],[1,4,5,6,13,14,16,21,27,34,53,77,117,140,160,323],[1,2,4,5,14,19,
27,30,91,166,324],[1,2,4,5,9,14,19,27,29,55,68,91,100,150,184,325],[1,2,4,5,6,
15,16,17,19,21,24,39,44,53,98,101,106,108,116,176,326],[1,2,4,5,6,14,15,16,17,
19,24,27,34,42,77,91,94,97,98,117,142,180,327],[1,2,4,5,6,7,8,15,16,17,19,24,
25,26,37,38,49,52,61,93,96,98,120,121,146,172,328],[1,2,4,5,6,15,16,17,19,24,
36,98,112,115,119,329],[1,2,4,5,6,15,16,17,19,24,48,98,107,109,114,330],[1,2,
4,5,6,10,15,16,17,19,24,32,33,40,43,45,56,98,111,113,118,154,179,331],[1,2,3,
4,5,6,12,17,19,21,23,28,34,39,42,77,95,101,103,104,142,153,169,332],[1,2,3,7,
8,10,12,20,37,43,46,50,51,64,72,75,99,125,134,136,255,333],[1,4,7,8,10,13,20,
22,31,40,47,49,50,63,67,70,131,168,175,254,334],[1,2,3,7,8,10,12,22,35,37,41,
43,47,64,72,73,105,122,134,137,260,335],[1,2,3,4,5,6,7,8,10,12,17,19,23,25,26,
28,37,40,43,45,49,59,64,65,72,95,113,121,132,133,134,149,208,336],[1,3,4,5,6,
15,16,18,23,24,28,60,110,159,183,192,337],[1,5,6,10,15,45,56,60,118,192,338],[
1,5,6,8,16,25,36,38,39,44,93,108,119,256,339],[1,4,5,6,14,16,27,71,77,117,143,
340],[1,4,5,6,8,14,16,25,27,38,48,77,93,114,117,162,174,341],[1,3,4,5,6,15,16,
18,21,23,24,27,28,34,39,44,53,77,94,104,110,116,129,140,169,171,191,342],[1,2,
4,5,13,18,19,36,48,90,107,115,206,343],[1,3,4,5,6,7,10,15,16,18,23,24,26,28,
32,33,45,52,62,63,64,65,96,110,111,130,147,149,156,173,182,344],[1,2,4,5,7,8,
19,25,26,37,49,57,121,138,145,165,345],[1,3,4,5,6,15,16,18,23,24,28,71,110,
143,152,187,346],[1,4,5,6,10,15,27,34,36,45,56,94,112,118,193,347],[1,2,4,5,9,
19,29,48,55,68,107,150,278,348],[1,2,4,5,19,48,76,107,190,349],[1,5,6,16,39,
44,60,108,183,350],[1,5,6,7,10,15,32,45,47,52,56,58,62,65,74,75,118,182,210,
235,252,351],[1,3,4,5,6,14,15,16,18,21,23,24,28,39,42,44,77,97,102,103,110,
116,153,158,164,189,352],[1,4,5,6,14,16,27,60,77,117,183,353],[1,3,4,5,6,8,10,
15,16,18,23,24,25,28,32,33,38,45,59,66,67,72,93,110,111,128,132,155,163,177,
181,354],[1,2,4,5,7,8,19,25,26,30,37,49,121,166,265,355],[1,2,4,5,14,19,27,76,
91,190,270,356],[1,4,5,6,14,15,16,18,27,39,42,44,53,77,97,117,148,158,189,244,
357],[1,2,4,5,14,19,27,57,91,138,161,178,358],[1,2,4,5,7,8,19,25,26,37,49,76,
121,190,205,359],[1,2,4,5,19,48,57,107,138,263,360],[1,2,4,5,19,30,48,107,166,
361],[1,5,6,7,16,26,36,39,44,52,96,108,119,220,362],[1,5,6,7,8,15,25,26,61,71,
120,152,363],[1,2,3,4,5,6,12,17,19,23,28,36,48,95,107,115,274,364],[1,2,4,5,7,
8,9,19,25,26,29,37,49,55,68,78,80,121,135,150,188,215,241,365],[1,5,6,7,8,10,
15,20,25,26,32,35,41,50,52,61,62,65,69,74,120,144,182,186,199,249,366],[1,5,6,
7,8,15,25,26,60,61,120,192,367],[1,5,6,8,10,15,33,38,45,50,54,56,58,59,66,73,
118,128,203,212,258,368],[1,4,5,6,7,8,15,25,26,27,34,48,61,94,109,120,139,162,
369],[1,2,4,5,6,13,14,17,18,19,27,34,42,44,53,77,90,91,106,129,142,148,160,
189,370],[1,5,6,7,8,10,15,22,25,26,33,38,46,47,51,54,59,61,66,69,120,128,151,
170,221,243,371],[1,5,6,10,15,45,56,71,118,152,372],[1,5,6,16,39,44,71,108,
143,373],[1,5,6,10,14,15,36,42,45,56,97,112,118,223,374],[1,5,6,7,8,14,15,25,
26,42,48,61,97,109,120,141,174,375],[1,4,5,6,7,14,16,26,27,48,52,77,96,114,
117,139,141,376],[1,4,5,6,16,21,24,34,39,44,53,77,108,140,171,176,211,377],[1,
2,4,5,7,8,10,13,18,19,25,26,37,40,43,45,49,62,63,66,67,90,113,121,131,155,156,
157,219,378],[1,2,3,7,8,10,12,31,37,43,54,58,64,69,70,72,74,124,126,127,134,
216,261,272,379],[1,5,6,8,16,25,38,81,93,230,380],[1,2,4,5,6,7,8,10,15,16,17,
19,24,32,33,37,38,43,52,56,59,61,62,63,65,66,67,98,128,133,146,147,154,163,
182,218,219,247,381],[1,5,6,7,10,14,15,32,42,52,62,65,71,97,152,182,194,207,
382],[1,2,4,5,7,8,10,19,20,25,26,37,41,43,47,49,51,54,62,63,66,67,69,70,73,74,
99,121,137,144,151,175,185,202,219,232,272,383],[1,5,6,7,8,10,16,20,26,35,41,
47,51,52,56,59,61,62,65,66,69,70,74,75,96,144,151,197,199,210,237,247,268,
384],[1,5,6,16,39,42,44,48,71,114,143,158,385],[1,2,4,5,9,10,19,29,40,43,45,
55,68,76,113,150,190,290,386],[1,5,6,7,10,15,32,36,52,60,62,65,112,182,192,
387],[1,2,4,5,6,9,15,16,17,19,24,29,55,57,68,98,138,150,266,269,388],[1,4,7,8,
10,13,35,40,41,46,49,51,54,58,63,67,69,73,74,75,131,167,185,224,225,232,275,
277,389],[1,2,4,5,9,19,29,48,55,57,68,107,138,150,217,246,390],[1,2,4,5,7,8,9,
19,25,26,29,37,49,55,57,68,121,138,150,204,283,391],[1,4,5,6,14,16,18,21,24,
27,34,39,42,44,53,77,117,129,140,148,158,164,180,189,211,392],[1,5,6,7,10,15,
32,36,52,62,65,71,112,152,182,393],[1,2,4,5,6,17,19,30,44,53,57,106,138,166,
394],[1,2,4,5,7,8,19,25,26,37,49,79,121,209,239,259,395],[1,2,4,5,7,8,10,19,
22,25,26,35,37,43,46,49,50,54,62,63,66,67,69,70,74,75,105,121,136,167,168,170,
186,197,219,272,275,396],[1,5,6,16,39,42,44,48,60,114,158,183,397],[1,5,6,16,
36,39,42,44,71,119,143,158,398],[1,2,4,5,13,18,19,30,57,90,138,166,399],[1,4,
5,7,8,10,18,22,25,40,41,45,46,49,50,51,54,58,62,66,67,70,73,155,157,168,170,
185,202,212,225,280,400],[1,2,6,7,8,10,17,31,32,33,37,41,43,46,47,50,56,58,59,
65,73,75,124,133,136,137,154,201,203,238,252,401],[1,5,6,7,8,15,25,26,61,79,
120,209,402],[1,2,4,5,7,8,19,25,26,37,49,81,121,195,230,231,403],[1,3,4,6,7,8,
10,13,24,28,32,33,38,40,49,52,56,59,61,63,64,65,67,72,92,131,147,163,172,173,
177,179,208,218,253,404],[1,3,4,5,6,7,8,10,15,16,18,23,24,28,32,33,38,40,49,
52,56,59,61,62,64,65,66,72,110,128,130,157,172,179,181,182,200,208,247,405],[
1,2,4,5,10,19,30,40,43,45,57,113,138,166,406],[1,4,5,6,10,16,21,32,33,34,45,
53,60,77,111,140,183,284,285,407],[1,2,4,5,6,7,8,17,19,25,26,36,37,44,49,53,
106,115,121,220,256,408],[1,5,6,10,16,32,33,39,42,44,45,60,111,158,183,245,
273,409],[1,5,6,7,8,9,15,25,26,57,61,68,78,120,135,165,204,269,410],[1,4,5,6,
8,16,21,25,34,38,53,71,77,93,140,143,248,276,411],[1,5,6,7,8,15,25,26,60,61,
71,120,152,192,412],[1,3,4,5,6,15,16,18,23,24,28,60,71,110,152,192,267,271,
413],[1,5,6,7,16,26,39,42,44,52,71,96,143,158,194,196,414],[1,2,6,7,8,10,17,
20,22,35,37,38,43,51,52,54,59,61,65,69,70,74,99,105,133,146,199,242,243,268,
272,415],[1,5,6,16,39,44,60,71,108,143,183,416],[1,3,4,5,6,15,16,18,21,23,24,
27,28,34,39,42,44,53,77,103,110,140,148,153,158,169,176,180,191,244,417],[1,2,
3,4,5,6,12,17,19,23,28,57,76,95,138,190,418],[1,2,3,4,5,6,12,17,19,23,28,60,
71,95,159,187,222,267,419],[1,2,4,5,9,19,29,30,36,55,68,115,150,166,420],[1,2,
4,5,14,19,27,30,76,91,166,190,421],[1,2,4,5,9,14,19,27,29,55,57,68,91,138,150,
240,262,422],[1,5,6,10,16,32,33,39,44,45,48,108,111,114,226,227,423],[1,2,4,5,
9,13,18,19,29,55,68,76,90,150,190,234,251,424],[1,5,6,7,8,10,16,22,25,35,38,
46,50,51,54,56,59,61,62,65,66,69,70,73,93,170,186,202,242,243,247,258,279,
425],[1,2,4,5,6,9,17,19,29,44,53,55,68,76,106,150,190,286,426],[1,3,4,6,13,24,
28,60,71,92,159,187,271,281,427],[1,4,5,6,13,15,18,24,27,34,39,42,44,53,77,94,
129,148,160,171,180,211,244,428],[1,4,5,6,8,10,15,27,33,34,38,59,66,71,94,128,
152,257,276,429],[1,5,6,8,10,15,33,38,48,59,60,66,109,128,192,430],[1,2,4,5,6,
15,16,17,19,24,30,76,98,166,190,431],[1,2,4,5,6,15,16,17,19,24,60,71,98,152,
192,222,281,432],[1,5,6,8,10,15,33,36,38,59,66,71,112,128,152,433],[1,2,4,5,6,
15,16,17,19,24,60,71,98,143,183,222,271,434],[1,4,5,7,8,10,18,20,26,35,40,41,
45,46,47,49,58,62,63,66,70,74,75,144,156,157,167,175,197,235,277,280,435],[1,
5,6,7,8,10,15,31,32,33,38,41,45,46,52,56,58,59,62,65,66,69,70,73,75,118,128,
182,198,201,237,238,279,280,436],[1,2,4,5,19,36,57,76,115,138,190,437],[1,5,6,
7,8,15,25,26,61,81,120,230,438],[1,5,6,8,10,14,15,33,38,42,59,60,66,97,128,
192,273,282,439],[1,5,6,7,8,15,21,25,26,36,39,44,61,112,116,120,220,256,440],[
1,5,6,7,8,9,15,25,26,57,61,68,80,120,145,188,269,283,441],[1,2,3,4,5,6,7,8,10,
12,17,19,23,28,32,33,37,38,43,52,56,61,62,63,64,66,67,72,95,130,134,146,154,
173,177,181,200,219,253,442],[1,4,5,6,16,21,34,48,53,71,77,114,140,143,443],[
1,5,6,8,10,15,33,38,48,59,66,71,109,128,152,444],[1,3,4,5,6,7,8,10,15,16,18,
23,24,25,26,28,45,56,59,61,62,63,64,65,66,67,72,110,118,120,132,149,155,156,
200,218,247,253,445],[1,3,4,5,6,14,15,16,18,23,24,27,28,34,39,42,44,53,77,102,
108,110,117,129,153,169,189,191,211,244,446],[1,5,6,10,16,32,33,39,42,44,45,
71,111,143,158,207,236,447],[1,2,4,5,6,10,17,19,40,43,44,45,48,53,106,107,113,
226,227,448],[1,4,5,6,14,16,27,60,71,77,117,143,183,449],[1,5,6,7,9,16,26,52,
57,68,80,96,145,188,204,266,450],[1,5,6,8,16,25,38,39,42,44,60,93,158,183,264,
282,451],[1,2,4,5,6,15,16,17,19,21,24,34,39,42,44,53,77,98,101,106,140,142,
158,164,171,211,244,452],[1,5,6,10,15,45,56,60,71,118,152,192,453],[1,2,4,5,7,
8,19,25,26,30,37,49,76,121,166,190,454],[1,5,6,14,15,42,57,97,161,455],[1,4,5,
6,16,21,34,36,53,60,77,119,140,183,456],[1,5,6,8,10,15,21,33,38,39,44,59,60,
66,116,128,192,245,264,457],[1,2,4,5,10,14,19,27,36,40,43,45,91,113,115,193,
223,458],[1,2,4,5,10,19,40,43,45,57,76,113,138,190,459],[1,5,6,7,10,15,21,32,
39,44,52,62,65,71,116,152,182,196,236,460],[1,3,4,5,6,13,21,23,24,27,28,34,39,
42,44,53,77,92,104,153,160,164,169,171,176,180,191,211,461],[1,2,3,4,5,6,9,12,
17,19,23,28,29,30,55,68,95,123,150,166,233,462],[1,5,6,7,8,10,15,25,26,32,33,
35,38,51,52,54,59,61,62,65,66,70,73,74,75,120,128,182,197,202,214,242,250,268,
463],[1,4,5,6,15,16,21,24,34,39,42,44,53,77,108,116,140,158,164,176,211,244,
464],[1,5,6,16,36,39,42,44,60,119,158,183,465],[1,5,6,7,10,15,32,48,52,62,65,
71,109,152,182,466],[1,4,5,6,9,14,16,27,57,68,77,100,117,161,240,266,467],[1,
5,6,8,10,15,21,33,38,39,44,59,66,71,116,128,152,229,248,468],[1,5,6,8,10,15,
33,36,38,59,60,66,112,128,192,469],[1,4,5,6,16,21,34,48,53,60,77,114,140,183,
470],[1,4,5,6,7,10,15,27,32,34,52,60,62,65,94,182,192,228,284,471],[1,5,6,7,
10,15,32,48,52,60,62,65,109,182,192,472],[1,5,6,7,10,15,21,32,39,44,52,60,62,
65,116,182,192,213,285,473],[1,2,4,5,7,8,14,19,25,26,27,37,48,49,91,107,121,
139,141,162,174,474],[1,5,6,10,15,21,39,44,45,48,56,109,116,118,226,227,475],[
1,4,5,6,7,16,21,26,34,52,53,60,77,96,140,183,213,228,476],[1,4,5,6,16,21,34,
36,53,71,77,119,140,143,477],[1,3,4,5,6,15,16,18,23,24,28,36,48,110,114,119,
206,274,478],[1,2,4,5,9,19,29,36,55,68,76,115,150,190,479],[1,4,5,6,10,16,21,
32,33,34,45,53,71,77,111,140,143,229,257,480],[1,5,6,9,14,15,42,57,68,97,100,
161,262,269,481],[1,2,4,5,9,10,19,29,30,40,43,45,55,68,113,150,166,295,482],[
1,4,5,6,14,16,27,57,77,117,161,483],[1,4,5,6,9,14,16,27,55,57,68,77,117,178,
184,262,266,484],[1,4,5,6,14,16,27,76,77,117,270,485],[1,4,5,6,15,27,34,76,94,
270,486],[1,4,5,6,10,14,16,27,32,33,36,45,77,111,117,119,193,223,487],[1,2,4,
5,6,9,17,19,29,30,44,53,55,68,106,150,166,233,488],[1,4,5,6,9,15,27,34,55,57,
68,94,178,184,240,269,489],[1,2,4,5,19,30,48,76,107,166,190,490],[1,2,4,5,6,
17,19,44,53,57,76,106,138,190,491],[1,3,4,5,6,15,16,18,23,24,28,60,71,110,143,
183,267,281,492],[1,5,6,7,16,26,52,79,96,209,493],[1,2,4,5,19,30,36,57,115,
138,166,494],[1,3,4,5,6,15,16,18,23,24,28,36,48,109,110,112,206,274,495],[1,5,
6,8,9,16,25,38,57,68,78,93,135,165,266,283,496],[1,5,8,9,14,25,48,57,68,78,
100,135,174,217,262,278,283,497],[1,4,5,6,7,10,18,26,27,34,36,44,45,48,62,63,
77,129,139,156,193,206,220,226,498],[1,4,5,6,18,27,42,53,57,76,77,148,178,270,
499],[1,2,4,5,6,7,8,17,19,34,37,38,42,52,60,61,71,77,142,146,194,222,228,276,
282,500],[1,4,5,6,7,10,14,18,26,36,42,44,45,48,62,63,77,141,156,189,206,220,
223,227,501],[1,3,4,6,8,10,21,28,33,34,38,67,71,72,104,177,187,229,248,257,
276,502],[1,4,6,7,8,10,22,24,32,35,38,41,49,50,51,52,54,56,59,61,63,65,67,69,
70,73,74,75,163,168,172,185,218,232,237,242,243,249,250,258,268,275,503],[1,2,
6,7,8,17,21,37,38,39,52,60,61,71,101,146,196,213,222,248,264,504],[1,3,5,6,7,
8,10,22,23,25,31,32,38,45,46,50,51,54,56,58,59,61,62,64,66,69,70,72,73,75,122,
127,132,170,181,198,200,201,202,212,216,243,250,255,258,505],[1,2,6,7,8,9,10,
17,29,30,37,43,59,65,78,80,133,233,241,265,295,506],[1,4,7,8,10,13,40,49,63,
67,79,81,131,231,259,507],[1,5,7,10,20,26,41,57,62,74,79,144,145,209,508],[1,
3,4,5,6,8,10,23,28,33,38,39,42,60,67,72,77,153,159,177,245,264,273,282,509],[
1,2,6,7,8,10,17,32,33,37,38,41,43,46,47,50,52,54,56,59,61,65,69,70,73,74,75,
133,136,137,146,154,210,214,221,237,249,250,258,272,279,510],[1,2,7,8,10,30,
37,41,43,47,73,81,137,195,265,511],[1,4,5,6,8,10,14,18,25,36,42,44,45,48,66,
67,77,155,174,189,206,223,226,256,512],[1,5,7,8,10,25,35,50,57,62,69,81,165,
186,230,513],[1,2,3,7,8,9,10,12,29,30,37,43,64,72,78,80,123,134,241,265,295,
514],[1,4,6,7,8,10,24,31,32,33,40,41,47,50,52,56,58,59,61,63,65,67,69,70,73,
74,75,147,179,203,210,214,218,224,237,238,249,252,254,277,515],[1,2,4,5,6,10,
17,19,32,33,34,42,43,56,60,71,77,142,154,207,222,257,273,284,516],[1,5,6,16,
36,119,292,517],[1,4,6,7,8,10,24,31,32,33,38,40,46,47,50,54,56,58,59,61,63,65,
67,69,70,73,75,163,179,201,203,218,221,224,225,250,252,254,258,279,518],[1,4,
5,6,9,13,27,34,53,55,68,76,77,160,184,234,270,286,519],[1,2,7,8,9,10,29,37,43,
46,50,75,78,80,81,136,195,241,294,296,520],[1,2,6,7,8,10,17,37,43,59,65,79,81,
133,195,239,521],[1,4,5,6,13,27,34,53,57,76,77,160,178,270,522],[1,2,7,8,9,20,
29,37,51,78,79,80,99,239,241,289,293,523],[1,5,8,9,10,22,25,46,54,66,68,78,81,
135,170,230,287,296,524],[1,3,5,6,7,8,10,20,23,26,31,33,35,41,45,47,52,56,58,
61,62,64,65,66,69,70,72,73,74,75,125,126,130,144,149,197,198,199,200,210,214,
235,238,260,261,525],[1,2,7,8,9,22,29,35,37,78,80,81,105,195,241,287,297,
526],[1,4,6,7,10,21,24,33,39,52,53,60,63,65,71,147,176,196,213,229,245,281,
527],[1,4,6,8,10,21,24,32,38,39,53,59,60,67,71,163,176,236,248,264,281,285,
528],[1,2,6,10,17,21,32,33,39,43,56,60,71,101,154,222,229,236,245,285,529],[1,
2,7,8,10,30,37,43,46,50,75,79,136,239,265,530],[1,5,6,7,8,10,16,31,32,33,41,
45,46,47,50,54,56,58,59,61,62,65,66,69,70,73,74,75,111,198,201,203,212,214,
221,235,238,247,249,250,252,280,531],[1,3,4,5,6,7,10,23,28,33,34,39,52,60,62,
64,71,77,130,169,196,228,245,257,267,532],[1,5,7,9,10,20,26,41,62,68,74,79,80,
144,188,209,288,289,533],[1,5,8,10,22,25,46,54,57,66,81,165,170,230,534],[1,2,
3,7,8,10,12,37,43,64,72,79,81,134,195,239,535],[1,3,5,6,7,8,10,23,25,33,35,41,
45,46,47,50,51,52,54,56,58,59,61,62,64,66,69,70,72,73,74,75,130,132,186,200,
202,203,216,221,235,237,255,260,261,268,280,536],[1,4,7,8,10,41,49,51,54,67,
76,81,185,205,231,537],[1,4,7,8,9,10,22,49,50,55,67,70,78,80,81,168,215,231,
287,294,538],[1,4,5,6,7,10,24,27,33,34,42,52,60,63,65,71,77,147,180,194,228,
257,273,281,539],[1,5,7,8,9,10,25,35,50,62,68,69,78,81,135,186,230,294,297,
540],[1,2,7,8,20,30,37,51,81,99,195,265,541],[1,4,5,8,9,25,27,48,55,57,68,78,
135,162,184,240,246,278,283,542],[1,4,7,8,9,10,35,46,49,55,63,74,78,80,81,167,
215,231,296,297,543],[1,4,6,7,8,10,20,24,33,35,38,46,47,49,51,52,54,56,59,61,
63,65,67,69,70,73,74,75,147,167,172,175,199,210,214,218,221,232,242,268,275,
279,544],[1,3,5,6,8,10,14,23,25,36,44,45,48,59,72,102,132,174,223,227,256,274,
545],[1,4,7,8,9,10,13,40,49,55,63,67,76,78,80,131,205,215,234,290,546],[1,3,4,
6,7,8,10,28,31,33,35,38,40,41,46,47,49,50,51,54,56,58,59,61,63,64,65,67,69,70,
72,73,75,127,177,185,208,216,221,225,238,242,253,254,255,258,260,275,547],[1,
5,6,9,15,48,57,68,109,217,246,263,269,278,548],[1,3,4,6,7,8,10,22,28,33,38,40,
46,49,50,51,54,56,58,59,61,63,64,65,67,69,70,72,73,74,75,122,168,177,203,208,
214,216,224,225,232,243,253,255,261,279,549],[1,3,4,5,6,7,10,23,28,32,39,42,
52,63,64,71,77,153,173,187,194,196,207,236,550],[1,4,5,7,8,10,18,25,26,31,35,
40,45,47,49,50,51,54,58,62,63,66,67,69,70,73,74,75,151,155,156,157,186,197,
198,202,212,224,232,235,254,275,551],[1,5,7,8,9,10,26,47,51,66,68,69,79,80,
151,188,209,291,293,552],[1,5,7,8,10,26,47,51,57,66,69,79,145,151,209,553],[1,
4,5,6,7,8,21,24,38,42,44,49,52,60,61,71,77,164,172,194,213,248,271,282,554],[
1,4,7,8,10,22,49,50,67,70,76,79,168,205,259,555],[1,5,7,9,14,26,48,57,68,80,
100,141,188,204,246,262,278,556],[1,4,7,8,9,10,20,47,49,55,63,70,78,79,80,175,
215,259,289,291,557],[1,4,7,8,9,10,41,49,51,54,55,67,78,79,80,185,215,259,288,
293,558],[1,2,4,5,19,36,115,292,559],[1,3,4,6,7,10,21,28,32,34,52,60,63,64,
104,159,173,213,228,284,285,560],[1,3,4,5,6,8,10,23,28,32,34,38,39,60,66,71,
72,77,169,181,236,264,267,276,284,561],[1,5,6,9,16,48,57,68,114,217,246,263,
266,278,562],[1,4,7,8,10,35,46,49,63,74,76,79,167,205,259,563],[1,4,5,6,10,21,
24,32,33,40,42,44,56,60,71,77,164,179,207,229,271,273,285,564],[1,3,5,6,7,10,
14,23,26,36,44,45,48,64,65,102,141,149,220,223,226,274,565],[1,4,6,7,8,24,34,
38,39,49,52,53,60,61,71,171,172,196,228,264,271,276,566],[1,4,5,8,9,25,27,48,
57,68,162,165,178,217,240,263,283,567],[1,4,5,6,8,10,24,27,32,34,38,42,59,60,
67,71,77,163,180,207,276,281,282,284,568],[1,4,5,6,8,10,18,25,27,34,36,44,45,
48,66,67,77,129,155,162,193,206,227,256,569],[1,5,8,9,14,25,48,57,68,161,165,
174,246,262,263,283,570],[1,3,5,6,8,10,21,23,32,38,42,60,66,71,72,103,181,207,
248,267,282,285,571],[1,4,5,7,9,26,27,48,55,57,68,80,139,184,188,204,217,240,
278,572],[1,3,4,5,6,8,10,23,25,27,28,36,44,45,48,53,59,72,132,162,191,193,226,
256,274,573],[1,4,5,7,8,9,10,18,40,49,55,62,66,76,78,80,157,205,215,251,290,
574],[1,4,5,7,8,10,18,40,49,62,66,79,81,157,231,259,575],[1,2,7,8,9,10,29,37,
41,43,47,73,78,79,80,137,239,241,288,291,576],[1,3,4,6,7,8,10,20,28,32,35,40,
41,47,49,52,54,56,58,59,61,63,64,65,67,69,70,72,73,74,75,125,173,175,199,208,
216,224,237,250,252,253,260,261,275,277,577],[1,4,6,10,24,32,33,34,39,40,53,
56,60,71,171,179,236,245,257,271,284,578],[1,4,5,6,9,18,27,42,53,55,68,76,77,
148,184,251,270,286,579],[1,5,6,15,36,112,292,580],[1,3,5,6,7,10,21,23,33,42,
52,60,62,64,71,103,130,194,213,229,267,273,581],[1,2,4,5,7,8,10,19,31,37,40,
41,43,45,46,47,50,54,58,62,63,66,67,69,70,73,74,75,113,124,136,137,198,212,
219,224,225,235,254,272,277,280,582],[1,2,7,8,22,30,35,37,79,105,239,265,
583],[1,5,7,9,14,26,48,57,68,141,145,161,204,217,262,263,584],[1,4,5,7,9,26,
27,48,57,68,139,145,178,204,240,246,263,585],[1,3,4,5,6,7,10,23,26,27,28,36,
44,45,48,53,64,65,139,149,191,193,220,227,274,586],[1,3,5,6,7,8,10,23,26,32,
35,38,41,45,46,47,50,51,54,56,58,61,62,64,65,66,69,70,72,73,74,75,149,151,181,
197,200,212,216,242,249,252,255,260,261,279,280,587],[1,4,7,8,10,20,47,49,63,
70,76,81,175,205,231,588],[1,3,4,6,7,8,10,28,31,32,35,40,41,46,47,49,50,51,52,
56,58,59,61,63,64,65,67,69,70,72,73,74,75,126,167,173,201,208,210,232,249,253,
254,255,260,261,268,277,589],[1,2,7,8,37,82,298,299,300,590],[1,2,10,43,82,
300,302,591],[1,2,3,12,82,300,301,592],[1,3,8,10,72,82,299,301,302,593],[1,8,
81,82,299,594],[1,7,79,82,298,595],[1,3,7,10,64,82,298,301,302,596],[1,2,4,5,
11,14,19,27,85,91,303,597],[1,5,8,11,14,25,48,84,174,303,598],[1,5,7,11,14,26,
48,83,141,303,599],[1,3,5,6,11,14,23,44,89,102,303,600],[1,2,7,8,11,20,37,51,
85,99,307,601],[1,2,6,11,17,21,39,85,101,306,602],[1,5,9,11,14,68,86,100,303,
603],[1,3,4,6,11,21,28,34,89,104,306,604],[1,2,4,5,11,13,18,19,85,90,305,
605],[1,2,7,8,11,22,35,37,85,105,304,606],[1,3,5,6,11,21,23,42,89,103,306,
607],[1,6,7,11,21,52,60,83,213,306,608],[1,5,9,11,14,57,68,88,262,303,609],[1,
6,8,11,21,38,71,84,248,306,610],[1,5,10,11,14,36,45,87,223,303,611],[1,6,10,
11,21,32,60,87,285,306,612],[1,6,10,11,21,33,71,87,229,306,613],[1,7,9,11,20,
79,80,88,289,307,614],[1,2,3,7,8,10,11,12,37,43,64,72,83,84,85,87,89,134,311,
312,314,317,319,615],[1,3,8,10,11,22,72,73,89,122,304,616],[1,2,3,9,11,12,29,
30,85,86,89,123,309,310,314,617],[1,3,8,10,11,31,54,72,89,127,313,618],[1,2,9,
10,11,29,30,43,85,86,87,295,308,309,311,619],[1,3,7,10,11,31,64,74,89,126,313,
620],[1,2,3,9,11,12,29,30,85,88,89,123,308,314,315,621],[1,2,10,11,31,43,58,
85,124,313,622],[1,2,7,8,9,11,29,37,78,80,83,84,85,86,88,241,309,312,315,316,
318,623],[1,2,7,8,11,30,37,83,84,85,265,308,310,312,624],[1,8,9,11,22,78,81,
88,287,304,625],[1,3,4,6,11,13,24,28,89,92,305,626],[1,2,9,10,11,29,30,43,85,
87,88,295,310,311,315,627],[1,4,9,11,13,55,76,88,234,305,628],[1,3,7,10,11,20,
64,75,89,125,307,629],[1,2,4,5,6,15,16,17,19,21,24,34,39,42,44,53,77,98,101,
106,108,116,140,142,158,164,171,176,211,244,321,326,377,452,464,630],[1,2,3,4,
5,6,9,12,14,17,19,23,27,28,29,30,44,53,55,68,91,95,100,102,106,123,150,166,
184,191,233,322,324,325,462,488,631],[1,2,4,5,6,13,14,15,16,17,18,19,21,24,27,
34,39,42,44,53,77,90,91,94,97,98,101,106,117,129,140,142,148,158,160,164,171,
180,189,211,244,323,327,357,370,392,428,452,632],[1,3,4,5,6,14,15,16,18,21,23,
24,27,28,34,39,42,44,53,77,97,102,103,108,110,116,117,129,140,148,153,158,164,
169,176,180,189,191,211,244,321,352,357,392,417,446,464,633],[1,2,4,5,6,7,8,
14,15,16,17,19,24,25,26,27,34,37,38,42,48,49,52,61,77,91,93,94,96,97,98,107,
109,114,117,120,121,139,141,142,146,162,172,174,180,327,328,330,341,369,375,
376,474,634],[1,2,4,5,6,10,15,16,17,19,21,24,32,33,39,40,43,44,45,48,53,56,98,
101,106,107,108,109,111,113,114,116,118,154,176,179,226,227,326,330,331,423,
448,475,635],[1,2,4,5,6,7,8,15,16,17,19,21,24,25,26,36,37,38,39,44,49,52,53,
61,93,96,98,101,106,108,112,115,116,119,120,121,146,172,176,220,256,326,328,
329,339,362,408,440,636],[1,2,4,5,6,10,14,15,16,17,19,24,27,32,33,34,36,40,42,
43,45,56,77,91,94,97,98,111,112,113,115,117,118,119,142,154,179,180,193,223,
327,329,331,347,374,458,487,637],[1,2,3,4,5,6,7,8,10,12,13,15,16,17,18,19,23,
24,25,26,28,32,33,37,38,40,43,45,49,52,56,59,61,62,63,64,65,66,67,72,90,92,93,
95,96,98,110,111,113,118,120,121,128,130,131,132,133,134,146,147,149,154,155,
156,157,163,172,173,177,179,181,182,200,208,218,219,247,253,320,328,331,336,
344,354,378,381,404,405,442,445,638],[1,2,3,4,5,6,12,13,14,15,16,17,18,19,21,
23,24,27,28,34,39,42,44,53,77,90,91,92,94,95,97,98,101,102,103,104,106,108,
110,116,117,129,140,142,148,153,158,160,164,169,171,176,180,189,191,211,244,
320,322,326,327,332,342,352,370,417,446,452,461,639],[1,2,3,4,5,6,12,13,15,16,
17,18,19,23,24,28,36,48,90,92,95,98,107,109,110,112,114,115,119,206,274,320,
329,330,343,364,478,495,640],[1,2,4,5,7,8,10,13,18,19,20,22,25,26,31,35,37,40,
41,43,45,46,47,49,50,51,54,58,62,63,66,67,69,70,73,74,75,90,99,105,113,121,
124,131,136,137,144,151,155,156,157,167,168,170,175,185,186,197,198,202,212,
219,224,225,232,235,254,272,275,277,280,334,378,383,389,396,400,435,551,582,
641],[1,3,4,5,6,13,14,15,16,18,21,23,24,27,28,34,39,42,44,53,77,92,94,102,103,
104,108,110,116,117,129,140,148,153,158,160,164,169,171,176,180,189,191,211,
244,323,342,377,392,417,428,446,461,464,642],[1,2,4,5,13,18,19,36,48,90,107,
115,206,343,643],[1,4,5,6,9,13,14,16,21,27,34,53,57,68,77,100,117,140,160,161,
240,266,323,467,483,644],[1,5,6,8,10,14,15,33,36,38,42,45,50,54,56,58,59,60,
66,73,97,112,118,128,192,203,212,223,258,273,282,338,368,374,439,469,645],[1,
3,4,5,6,7,10,14,15,16,18,21,23,24,26,28,32,33,39,42,44,45,52,62,63,64,65,71,
77,96,97,102,103,110,111,116,130,143,147,149,152,153,156,158,164,173,182,187,
189,194,196,207,236,344,346,352,382,414,447,460,550,646],[1,2,4,5,6,14,15,16,
17,19,24,27,34,42,60,71,77,91,94,97,98,117,142,143,180,183,222,271,327,340,
353,434,449,647],[1,2,4,5,6,15,16,17,19,24,30,48,76,98,107,109,114,166,190,
330,349,361,431,490,648],[1,4,5,6,7,13,14,16,21,26,27,34,48,52,53,60,77,96,
114,117,139,140,141,160,183,213,228,323,353,376,470,476,649],[1,2,4,5,6,9,14,
15,16,17,19,24,27,29,34,42,55,57,68,77,91,94,97,98,100,117,138,142,150,161,
178,180,184,240,262,266,269,325,327,358,388,422,467,481,484,489,650],[1,2,4,5,
6,9,15,16,17,19,24,29,48,55,57,68,98,107,109,114,138,150,217,246,263,266,269,
278,330,348,360,388,390,548,562,651],[1,5,6,7,8,10,14,15,20,25,26,32,35,41,42,
48,50,52,61,62,65,69,71,74,97,109,120,141,144,152,174,182,186,194,199,207,249,
363,366,375,382,466,652],[1,2,4,5,6,7,8,15,16,17,19,24,25,26,37,38,49,52,61,
81,93,96,98,120,121,146,172,195,230,231,328,380,403,438,653],[1,5,6,7,16,26,
36,39,42,44,52,71,96,108,119,143,158,194,196,220,321,362,373,398,414,654],[1,
2,4,5,6,7,8,10,15,16,17,19,24,31,32,33,37,38,40,41,43,45,46,47,50,52,54,56,58,
59,61,62,63,65,66,67,69,70,73,74,75,98,111,113,118,124,128,133,136,137,146,
147,154,163,179,182,198,201,203,210,212,214,218,219,221,224,225,235,237,238,
247,249,250,252,254,258,272,277,279,280,331,351,368,381,401,436,510,515,518,
531,582,655],[1,2,3,4,5,6,9,12,17,19,23,28,29,30,36,48,55,68,95,107,115,123,
150,166,233,274,278,348,361,364,420,462,656],[1,2,3,4,5,6,7,8,9,10,12,17,19,
23,25,26,28,29,30,37,40,43,45,49,55,59,64,65,68,72,78,80,95,113,121,123,132,
133,134,135,149,150,166,188,208,215,233,241,265,295,336,355,365,462,482,506,
514,657],[1,4,5,6,7,10,15,27,32,34,36,45,47,52,56,58,60,62,65,74,75,94,112,
118,182,192,193,210,228,235,252,284,338,347,351,387,471,658],[1,4,5,6,8,16,21,
24,25,34,36,38,39,44,53,71,77,93,108,119,140,143,171,176,211,248,256,276,339,
373,377,411,477,659],[1,2,4,5,6,14,15,16,17,19,24,27,34,42,76,77,91,94,97,98,
117,142,180,190,270,327,356,485,486,660],[1,5,6,7,10,14,15,32,36,42,45,47,52,
56,58,62,65,71,74,75,97,112,118,152,182,194,207,210,223,235,252,351,372,374,
382,393,661],[1,2,4,5,6,13,14,17,18,19,27,30,34,42,44,53,57,77,90,91,106,129,
138,142,148,160,161,166,178,189,324,358,370,394,399,662],[1,4,5,6,7,8,10,15,
20,25,26,27,32,34,35,41,48,50,52,60,61,62,65,69,74,94,109,120,139,144,162,182,
186,192,199,228,249,284,366,367,369,471,472,663],[1,2,3,4,5,6,7,8,10,12,17,19,
23,25,26,28,37,40,43,45,49,57,59,64,65,72,76,95,113,121,132,133,134,138,145,
149,165,190,205,208,336,345,359,418,459,664],[1,2,4,5,7,8,9,10,13,18,19,25,26,
29,37,40,43,45,49,55,62,63,66,67,68,76,78,80,90,113,121,131,135,150,155,156,
157,188,190,205,215,219,234,241,251,290,359,365,378,386,424,546,574,665],[1,2,
4,5,9,13,18,19,29,36,48,55,68,76,90,107,115,150,190,206,234,251,278,343,348,
349,424,479,666],[1,2,3,4,5,6,12,13,15,16,17,18,19,23,24,28,60,71,90,92,95,98,
110,143,152,159,183,187,192,222,267,271,281,320,337,346,413,419,427,432,434,
492,667],[1,2,4,5,6,7,8,15,16,17,19,24,25,26,37,38,49,52,61,79,93,96,98,120,
121,146,172,209,239,259,328,395,402,493,668],[1,2,4,5,13,18,19,30,36,48,57,90,
107,115,138,166,206,263,343,360,361,399,494,669],[1,4,5,6,7,8,10,15,22,25,26,
27,33,34,38,46,47,48,51,54,59,61,66,69,71,94,109,120,128,139,151,152,162,170,
221,243,257,276,363,369,371,429,444,670],[1,5,6,8,16,25,36,38,39,42,44,60,93,
108,119,158,183,256,264,282,321,339,350,451,465,671],[1,2,4,5,6,14,15,16,17,
19,24,27,34,42,57,77,91,94,97,98,117,138,142,161,178,180,327,358,455,483,
672],[1,4,5,6,8,14,15,16,18,25,27,38,39,42,44,48,53,60,77,93,97,114,117,148,
158,162,174,183,189,244,264,282,341,353,357,397,451,673],[1,2,4,5,6,7,8,15,16,
17,19,24,25,26,37,38,49,52,60,61,71,93,96,98,120,121,146,152,172,192,222,281,
328,363,367,412,432,674],[1,2,4,5,6,7,8,9,15,16,17,19,24,25,26,29,37,38,49,52,
55,57,61,68,78,80,93,96,98,120,121,135,138,145,146,150,165,172,188,204,215,
241,266,269,283,328,345,365,388,391,410,441,450,496,675],[1,2,4,5,6,10,15,16,
17,19,24,32,33,40,43,45,56,60,71,98,111,113,118,152,154,179,192,222,281,331,
338,372,432,453,676],[1,4,5,6,7,16,21,24,26,34,36,39,44,52,53,60,77,96,108,
119,140,171,176,183,211,213,220,228,350,362,377,456,476,677],[1,3,4,5,6,8,10,
15,16,18,21,23,24,25,27,28,32,33,34,38,39,44,45,53,59,66,67,71,72,77,93,94,
104,110,111,116,128,129,132,140,143,152,155,163,169,171,177,181,187,191,229,
248,257,276,342,346,354,411,429,468,480,502,678],[1,3,4,5,6,7,10,15,16,18,21,
23,24,26,27,28,32,33,34,39,44,45,52,53,60,62,63,64,65,77,94,96,104,110,111,
116,129,130,140,147,149,156,159,169,171,173,182,183,191,192,213,228,284,285,
337,342,344,407,471,473,476,560,679],[1,2,4,5,6,7,8,10,15,16,17,19,20,22,24,
25,26,32,33,35,37,38,41,43,46,47,49,50,51,52,54,56,59,61,62,63,65,66,67,69,70,
73,74,75,93,96,98,99,105,120,121,128,133,136,137,144,146,147,151,154,163,167,
168,170,172,175,182,185,186,197,199,202,210,214,218,219,221,232,237,242,243,
247,249,250,258,268,272,275,279,328,366,371,381,383,384,396,415,425,463,503,
510,544,680],[1,2,4,5,6,7,8,15,16,17,19,24,25,26,30,37,38,49,52,61,76,93,96,
98,120,121,146,166,172,190,205,265,328,355,359,431,454,681],[1,2,4,5,6,15,16,
17,19,21,24,39,44,53,60,71,98,101,106,108,116,143,176,183,222,271,326,350,373,
416,434,682],[1,5,6,7,8,10,14,15,22,25,26,33,38,42,46,47,48,51,54,59,60,61,66,
69,97,109,120,128,141,151,170,174,192,221,243,273,282,367,371,375,430,439,
683],[1,2,4,5,7,8,10,13,18,19,25,26,30,37,40,43,45,49,57,62,63,66,67,90,113,
121,131,138,145,155,156,157,165,166,219,265,345,355,378,399,406,684],[1,2,4,5,
6,14,15,16,17,19,24,27,30,34,42,76,77,91,94,97,98,117,142,166,180,190,270,324,
327,356,421,431,685],[1,4,5,6,8,10,15,27,33,34,36,38,45,50,54,56,58,59,66,71,
73,94,112,118,128,152,193,203,212,257,258,276,347,368,372,429,433,686],[1,2,3,
4,5,6,12,14,17,19,23,27,28,44,53,57,76,91,95,102,106,138,161,178,190,191,270,
322,356,358,418,491,687],[1,2,4,5,6,9,13,14,17,18,19,27,29,34,42,44,53,55,68,
76,77,90,91,100,106,129,142,148,150,160,184,189,190,234,251,270,286,325,356,
370,424,426,519,579,688],[1,2,3,4,5,6,12,17,19,23,28,36,48,57,76,95,107,115,
138,190,263,274,349,360,364,418,437,689],[1,3,4,5,6,8,10,14,15,16,18,21,23,24,
25,28,32,33,38,39,42,44,45,59,60,66,67,72,77,93,97,102,103,110,111,116,128,
132,153,155,158,159,163,164,177,181,183,189,192,245,264,273,282,337,352,354,
409,439,451,457,509,690],[1,4,5,6,7,14,15,16,18,26,27,39,42,44,48,52,53,71,77,
96,97,114,117,139,141,143,148,158,189,194,196,244,340,357,376,385,414,691],[1,
4,5,6,8,13,14,16,21,25,27,34,38,48,53,71,77,93,114,117,140,143,160,162,174,
248,276,323,340,341,411,443,692],[1,3,4,6,13,24,28,60,71,92,159,187,271,281,
427,693],[1,3,4,6,7,8,10,13,20,22,24,28,31,32,33,35,38,40,41,46,47,49,50,51,
52,54,56,58,59,61,63,64,65,67,69,70,72,73,74,75,92,122,125,126,127,131,147,
163,167,168,172,173,175,177,179,185,199,201,203,208,210,214,216,218,221,224,
225,232,237,238,242,243,249,250,252,253,254,255,258,260,261,268,275,277,279,
334,389,404,503,515,518,544,547,549,577,589,694],[1,4,5,6,7,8,10,15,27,31,32,
33,34,36,38,41,45,46,52,56,58,59,60,62,65,66,69,70,71,73,75,94,112,118,128,
152,182,192,193,198,201,228,237,238,257,276,279,280,284,347,393,429,436,453,
469,471,695],[1,3,4,5,6,7,10,14,15,16,18,23,24,26,27,28,32,33,34,36,39,42,44,
45,48,52,53,62,63,64,65,77,96,102,108,110,111,114,117,119,129,130,139,141,147,
149,153,156,169,173,182,189,191,193,206,211,220,223,226,227,244,274,344,362,
376,423,446,478,487,498,501,565,586,696],[1,2,4,5,6,7,8,10,15,16,17,19,24,32,
33,36,37,38,43,52,56,59,60,61,62,63,65,66,67,71,98,112,115,119,128,133,146,
147,152,154,163,182,192,218,219,222,247,281,329,381,387,393,432,433,469,697],[
1,2,3,4,5,6,7,8,10,12,14,17,19,23,25,26,27,28,36,37,40,43,44,45,48,49,53,59,
64,65,72,91,95,102,106,107,113,115,121,132,133,134,139,141,149,162,174,191,
193,208,220,223,226,227,256,274,322,336,364,408,448,458,474,545,565,573,586,
698],[1,2,4,5,7,8,10,19,20,25,26,37,41,43,47,49,51,54,57,62,63,66,67,69,70,73,
74,79,99,121,137,138,144,145,151,165,175,185,202,209,219,232,239,259,272,345,
383,395,508,553,699],[1,2,4,5,6,7,8,10,14,15,16,17,19,24,27,32,33,34,37,38,42,
43,52,56,59,60,61,62,63,65,66,67,71,77,91,94,97,98,117,128,133,142,146,147,
152,154,163,180,182,192,194,207,218,219,222,228,247,257,273,276,281,282,284,
327,381,382,429,432,439,471,500,516,539,568,700],[1,3,4,5,6,7,8,10,15,16,18,
23,24,28,32,33,36,38,40,48,49,52,56,59,60,61,62,64,65,66,72,109,110,112,128,
130,157,159,172,179,181,182,183,192,200,206,208,247,274,337,387,405,430,469,
472,495,701],[1,2,4,5,7,8,10,13,18,19,25,26,37,40,43,45,49,62,63,66,67,79,81,
90,113,121,131,155,156,157,195,209,219,230,231,239,259,378,395,403,507,575,
702],[1,2,3,4,5,6,9,12,13,15,16,17,18,19,23,24,28,29,30,55,57,68,76,90,92,95,
98,110,123,138,150,166,190,233,234,251,266,269,320,388,399,418,424,431,462,
703],[1,2,4,5,7,8,9,14,19,25,26,27,29,37,48,49,55,57,68,91,107,121,138,139,
141,145,150,161,162,165,174,178,204,217,240,246,262,263,283,345,358,360,390,
391,422,474,567,570,584,585,704],[1,3,4,5,6,7,8,10,15,16,18,22,23,24,25,26,28,
31,32,33,35,38,40,41,45,46,47,49,50,51,52,54,56,58,59,61,62,63,64,65,66,67,69,
70,72,73,74,75,93,110,111,118,120,122,127,128,130,132,149,151,155,156,157,163,
168,170,172,177,179,181,182,185,186,197,198,200,201,202,203,208,212,214,216,
218,221,224,225,232,235,237,238,242,243,247,249,250,252,253,254,255,258,260,
261,268,275,279,280,354,368,371,400,405,425,436,445,463,503,505,518,531,536,
547,549,551,587,705],[1,3,4,5,6,7,10,15,16,18,21,23,24,26,27,28,32,33,34,39,
42,44,45,52,53,60,62,63,64,65,71,77,96,103,110,111,130,140,143,147,148,149,
153,156,158,169,173,176,180,182,183,191,194,196,213,228,229,244,245,257,267,
273,281,344,409,414,417,476,480,492,527,532,539,581,706],[1,2,4,5,7,8,14,19,
25,26,27,30,37,48,49,76,91,107,121,139,141,162,166,174,190,265,324,355,361,
421,454,474,490,707],[1,2,4,5,7,8,9,14,19,25,26,27,29,37,48,49,55,57,68,78,80,
91,100,107,121,135,138,139,141,150,162,174,184,188,204,215,217,240,241,246,
262,278,283,325,348,365,390,391,422,474,497,542,556,572,708],[1,3,4,5,6,7,8,
10,15,16,18,23,24,25,26,28,45,56,59,60,61,62,63,64,65,66,67,71,72,110,118,120,
132,149,152,155,156,159,183,192,200,218,247,253,267,271,337,338,367,412,413,
445,453,709],[1,2,4,5,6,7,8,10,15,16,17,19,24,32,33,37,38,43,48,52,56,59,60,
61,62,63,65,66,67,71,98,107,109,114,128,133,146,147,152,154,163,182,192,218,
219,222,247,281,330,381,430,432,444,466,472,710],[1,2,4,5,7,8,10,19,20,25,26,
30,37,41,43,47,49,51,54,62,63,66,67,69,70,73,74,81,99,121,137,144,151,166,175,
185,195,202,219,230,231,232,265,272,355,383,403,511,541,711],[1,5,6,7,8,10,15,
21,22,25,26,33,36,38,39,44,46,47,51,54,59,60,61,66,69,71,112,116,120,128,151,
152,170,192,220,221,229,243,245,248,256,264,371,412,433,440,457,468,469,712],[
1,5,6,7,8,10,14,15,31,32,33,36,38,41,42,45,46,52,56,58,59,60,62,65,66,69,70,
71,73,75,97,112,118,128,152,182,192,194,198,201,207,223,237,238,273,279,280,
282,374,382,387,433,436,439,453,713],[1,5,6,8,16,25,36,38,39,44,93,108,119,
256,292,339,517,714],[1,2,3,4,5,6,7,8,10,12,17,19,23,25,26,28,37,40,43,45,49,
59,64,65,72,79,81,95,113,121,132,133,134,149,195,208,209,230,231,239,259,336,
395,403,521,535,715],[1,2,3,4,5,6,7,8,9,10,12,17,19,23,25,26,28,29,30,37,40,
43,45,49,55,57,59,64,65,68,72,76,95,113,121,123,132,133,134,138,149,150,166,
190,204,208,233,283,290,336,386,391,406,418,454,462,716],[1,2,4,5,7,8,10,19,
22,25,26,35,37,43,46,49,50,54,57,62,63,66,67,69,70,74,75,81,105,121,136,138,
145,165,167,168,170,186,195,197,219,230,231,272,275,345,396,403,513,534,717],[
1,5,6,7,8,10,15,20,21,25,26,32,35,36,39,41,44,50,52,60,61,62,65,69,71,74,112,
116,120,144,152,182,186,192,196,199,213,220,236,249,256,285,366,387,393,412,
440,460,473,718],[1,5,6,7,8,10,15,21,25,26,32,33,35,36,38,39,44,51,52,54,59,
60,61,62,65,66,70,73,74,75,112,116,120,128,182,192,197,202,213,214,220,242,
245,250,256,264,268,285,367,387,440,457,463,469,473,719],[1,5,6,7,8,9,14,15,
25,26,42,48,57,61,68,78,80,97,100,109,120,135,141,145,161,165,174,188,204,217,
246,262,263,269,278,283,375,410,441,481,497,548,556,570,584,720],[1,4,5,6,9,
14,16,27,57,60,68,76,77,100,117,161,183,240,266,270,353,467,485,721],[1,4,5,6,
7,8,9,15,25,26,27,34,48,55,57,61,68,78,80,94,109,120,135,139,145,162,165,178,
184,188,204,217,240,246,263,269,278,283,369,410,441,489,542,548,567,572,585,
722],[1,2,4,5,6,7,8,10,13,14,17,18,19,25,26,27,34,36,37,40,42,43,44,45,48,49,
53,62,63,66,67,77,90,91,106,107,113,115,121,129,131,139,141,142,148,155,156,
157,160,162,174,189,193,206,219,220,223,226,227,256,343,370,378,408,448,458,
474,498,501,512,569,723],[1,5,6,7,8,9,15,25,26,57,60,61,68,78,79,120,135,165,
192,204,209,269,367,402,410,724],[1,5,6,7,8,9,15,25,26,57,61,68,71,78,79,120,
135,152,165,204,209,269,363,402,410,725],[1,5,6,7,8,9,15,25,26,57,60,61,68,80,
81,120,145,188,192,230,269,283,367,438,441,726],[1,5,6,7,8,9,15,25,26,57,61,
68,71,80,81,120,145,152,188,230,269,283,363,438,441,727],[1,4,5,6,9,13,14,16,
21,27,34,53,55,57,68,76,77,117,140,160,178,184,234,262,266,270,286,323,484,
485,519,522,728],[1,4,5,6,9,14,15,16,18,27,39,42,44,53,55,57,68,76,77,97,117,
148,158,178,184,189,244,251,262,266,270,286,357,484,485,499,579,729],[1,2,3,4,
5,6,7,8,10,12,17,19,20,22,23,25,26,28,31,32,33,35,37,38,40,41,43,45,46,47,49,
50,51,52,54,56,58,59,61,62,63,64,65,66,67,69,70,72,73,74,75,95,99,105,113,121,
122,124,125,126,127,130,132,133,134,136,137,144,146,149,151,154,167,168,170,
173,175,177,181,185,186,197,198,199,200,201,202,203,208,210,212,214,216,219,
221,224,225,232,235,237,238,242,243,249,250,252,253,254,255,258,260,261,268,
272,275,277,279,280,333,335,336,379,383,396,401,415,442,505,510,525,536,547,
549,577,582,587,589,730],[1,3,4,5,6,8,10,15,16,18,21,23,24,25,27,28,32,33,34,
38,39,42,44,45,53,59,60,66,67,71,72,77,93,103,110,111,128,132,140,143,148,153,
155,158,163,169,176,177,180,181,183,191,207,236,244,248,264,267,276,281,282,
284,285,354,407,411,417,447,451,492,528,561,568,571,731],[1,2,4,5,7,8,10,19,
22,25,26,30,35,37,43,46,49,50,54,62,63,66,67,69,70,74,75,79,105,121,136,166,
167,168,170,186,197,209,219,239,259,265,272,275,355,395,396,530,583,732],[1,4,
5,6,10,16,21,24,32,33,34,39,44,45,48,53,60,71,77,108,111,114,140,143,171,176,
183,211,226,227,229,257,284,285,377,407,416,423,443,470,480,733],[1,5,6,10,16,
32,33,39,42,44,45,48,60,71,108,111,114,143,158,183,207,226,227,236,245,273,
321,385,397,409,416,423,447,734],[1,3,4,5,6,7,8,10,15,16,18,21,23,24,25,26,27,
28,34,36,39,44,45,48,53,56,59,61,62,63,64,65,66,67,72,77,94,104,109,110,112,
116,118,120,129,132,139,140,149,155,156,162,169,171,191,193,200,206,218,220,
226,227,247,253,256,274,342,347,369,440,445,475,495,498,569,573,586,735],[1,4,
5,6,10,15,27,34,36,45,56,76,94,112,118,193,270,347,486,736],[1,4,5,6,8,9,14,
16,25,27,38,48,55,57,68,77,78,93,100,114,117,135,161,162,165,174,178,184,217,
240,246,262,263,266,278,283,341,467,484,496,497,542,562,567,570,737],[1,2,4,5,
6,9,13,14,17,18,19,27,29,30,34,42,44,53,55,57,68,76,77,90,91,106,129,138,142,
148,150,160,166,189,190,233,234,240,251,262,370,399,421,422,424,488,491,738],[
1,2,4,5,9,10,14,19,27,29,36,40,43,45,55,57,68,76,91,113,115,138,150,190,193,
223,240,262,270,290,356,386,422,437,458,459,479,739],[1,5,6,7,8,10,15,21,31,
32,33,38,39,41,44,45,46,48,52,56,58,59,62,65,66,69,70,71,73,75,109,116,118,
128,152,182,196,198,201,226,227,229,236,237,238,248,279,280,372,436,444,460,
466,468,475,740],[1,3,4,5,6,15,16,18,21,23,24,27,28,34,36,39,42,44,48,53,71,
77,103,110,114,119,140,143,148,152,153,158,169,176,180,187,191,206,244,274,
346,385,398,417,443,477,478,741],[1,3,4,5,6,14,15,16,18,21,23,24,28,36,39,42,
44,48,60,71,77,97,102,103,110,114,116,119,143,153,158,164,183,189,206,267,274,
281,352,385,397,398,465,478,492,742],[1,2,4,5,6,7,8,9,17,19,25,26,29,36,37,44,
49,53,55,57,68,76,106,115,121,138,150,190,204,205,220,256,283,286,359,391,408,
426,437,479,491,743],[1,5,6,8,10,15,21,33,38,39,44,45,48,50,54,56,58,59,60,66,
71,73,109,116,118,128,152,192,203,212,226,227,229,245,248,258,264,368,430,444,
453,457,468,475,744],[1,3,4,5,6,8,10,15,16,18,23,24,25,28,32,33,36,38,45,48,
59,60,66,67,71,72,93,109,110,111,112,128,132,152,155,163,177,181,192,206,267,
271,274,354,413,430,433,444,469,495,745],[1,4,5,6,8,14,16,18,21,24,25,27,34,
38,39,42,44,48,53,60,71,77,93,114,117,129,140,143,148,158,162,164,174,180,183,
189,211,248,264,276,282,341,385,392,411,449,451,470,746],[1,2,4,5,9,13,18,19,
29,30,36,48,55,57,68,76,90,107,115,138,150,166,190,206,217,234,246,251,343,
390,399,420,424,437,490,747],[1,2,3,4,5,6,12,17,19,23,28,36,48,60,71,95,107,
115,159,187,222,267,274,364,419,748],[1,4,5,6,8,14,16,25,27,38,48,57,76,77,93,
114,117,161,162,174,270,341,483,485,749],[1,2,4,5,6,7,8,9,17,19,25,26,29,30,
36,37,44,49,53,55,68,76,78,80,106,115,121,135,150,166,188,190,215,220,233,241,
256,286,365,408,420,426,454,479,488,750],[1,5,6,7,8,9,10,15,22,25,26,33,38,46,
47,51,54,57,59,61,66,68,69,78,81,120,128,135,151,165,170,204,221,230,243,269,
287,296,371,410,438,524,534,751],[1,4,5,6,8,15,16,21,24,25,34,36,38,39,42,44,
53,60,71,77,93,108,116,119,140,143,158,164,176,183,211,244,248,256,264,276,
282,339,398,411,416,451,456,464,752],[1,2,4,5,7,8,10,19,20,25,26,37,41,43,47,
49,51,54,62,63,66,67,69,70,73,74,76,81,99,121,137,144,151,175,185,190,195,202,
205,219,230,231,232,272,359,383,403,537,588,753],[1,2,4,5,6,9,15,16,17,19,24,
29,30,36,55,57,68,76,98,112,115,119,138,150,166,190,266,269,329,388,420,431,
437,479,494,754],[1,3,4,5,6,8,10,14,15,16,18,23,24,25,27,28,32,33,34,36,38,39,
42,44,45,48,53,59,66,67,72,77,93,102,108,110,111,114,117,119,128,129,132,153,
155,162,163,169,174,177,181,189,191,193,206,211,223,226,227,244,256,274,339,
341,354,423,446,478,487,512,545,569,573,755],[1,2,4,5,6,9,15,16,17,19,21,24,
29,30,39,44,53,55,57,68,76,98,101,106,108,116,138,150,166,176,190,233,266,269,
286,326,388,394,426,431,488,491,756],[1,2,4,5,7,8,10,19,22,25,26,35,37,43,46,
49,50,54,62,63,66,67,69,70,74,75,76,79,105,121,136,167,168,170,186,190,197,
205,209,219,239,259,272,275,359,395,396,555,563,757],[1,3,4,5,6,7,10,15,16,18,
23,24,26,28,32,33,36,45,48,52,60,62,63,64,65,71,96,109,110,111,112,130,147,
149,152,156,173,182,192,206,267,271,274,344,387,393,413,466,472,495,758],[1,5,
6,7,8,9,10,15,20,25,26,32,35,41,50,52,57,61,62,65,68,69,74,79,80,120,144,145,
182,186,188,199,209,249,269,283,288,289,366,402,441,508,533,759],[1,4,5,6,9,
14,15,16,18,27,39,42,44,53,57,68,77,97,100,117,148,158,161,189,240,244,262,
266,269,357,455,467,481,483,760],[1,5,6,7,10,15,21,32,39,44,45,47,48,52,56,58,
60,62,65,71,74,75,109,116,118,152,182,192,196,210,213,226,227,235,236,252,285,
351,453,460,466,472,473,475,761],[1,5,6,7,8,14,15,25,26,42,48,61,79,81,97,109,
120,141,174,209,230,375,402,438,762],[1,4,5,6,7,9,14,16,26,27,48,52,55,57,68,
77,80,96,100,114,117,139,141,145,161,178,184,188,204,217,240,246,262,263,266,
278,376,450,467,484,556,562,572,584,585,763],[1,5,6,7,16,26,36,39,44,52,79,96,
108,119,209,220,362,493,764],[1,2,4,5,6,7,8,10,15,16,17,19,21,24,32,33,37,38,
39,43,44,52,53,56,59,60,61,62,63,65,66,67,71,98,101,106,108,116,128,133,146,
147,152,154,163,176,182,192,196,213,218,219,222,229,236,245,247,248,264,281,
285,326,381,432,457,460,468,473,504,527,528,529,765],[1,4,5,6,7,15,16,21,24,
26,34,36,39,42,44,52,53,60,71,77,96,108,116,119,140,143,158,164,176,183,194,
196,211,213,220,228,244,362,414,416,464,465,476,477,766],[1,4,5,6,7,14,16,18,
21,24,26,27,34,39,42,44,48,52,53,60,71,77,96,114,117,129,139,140,141,143,148,
158,164,180,183,189,194,196,211,213,228,376,392,397,414,443,449,476,767],[1,3,
4,5,6,7,8,10,15,16,18,23,24,28,32,33,36,38,40,48,49,52,56,59,61,62,64,65,66,
71,72,109,110,112,128,130,143,152,157,172,179,181,182,187,200,206,208,247,274,
346,393,405,433,444,466,495,768],[1,2,4,5,9,10,14,19,27,29,30,36,40,43,45,55,
57,68,91,113,115,138,150,166,193,223,240,262,295,324,406,420,422,458,482,494,
769],[1,4,5,6,7,14,16,26,27,48,52,57,76,77,96,114,117,139,141,161,270,376,483,
485,770],[1,2,4,5,6,7,8,15,16,17,19,21,24,25,26,34,37,38,39,42,44,49,52,53,60,
61,71,77,93,96,98,101,106,120,121,140,142,143,146,158,164,171,172,183,194,196,
211,213,222,228,244,248,264,271,276,282,328,411,414,434,451,452,476,500,504,
554,566,771],[1,5,6,7,16,26,36,39,44,52,96,108,119,220,292,362,517,772],[1,4,
5,6,10,15,16,21,24,32,33,34,39,42,44,45,48,53,71,77,108,111,114,116,140,143,
158,164,176,207,211,226,227,229,236,244,257,373,385,423,443,447,464,480,773],[
1,2,3,4,5,6,9,12,14,17,19,23,27,28,29,30,44,53,55,57,68,76,91,95,102,106,123,
138,150,166,190,191,233,240,262,286,322,394,418,421,422,426,462,774],[1,4,5,6,
10,15,16,21,24,32,33,34,39,42,44,45,48,53,60,77,108,111,114,116,140,158,164,
176,183,211,226,227,244,245,273,284,285,350,397,407,409,423,464,470,775],[1,2,
4,5,6,15,16,17,19,21,24,34,36,39,42,44,53,60,71,77,98,101,106,112,115,119,140,
142,143,158,164,171,183,211,222,244,271,329,398,434,452,456,465,477,776],[1,2,
4,5,6,15,16,17,19,21,24,34,39,42,44,48,53,60,71,77,98,101,106,107,109,114,140,
142,143,158,164,171,183,211,222,244,271,330,385,397,434,443,452,470,777],[1,2,
3,4,5,6,9,12,17,19,23,28,29,30,36,48,55,57,68,76,95,107,115,123,138,150,166,
190,217,233,246,274,364,390,418,462,479,490,494,778],[1,3,4,5,6,7,8,10,15,16,
18,21,23,24,27,28,32,33,34,38,39,40,44,49,52,53,56,59,60,61,62,64,65,66,71,72,
77,94,104,110,116,128,129,130,140,152,157,169,171,172,179,181,182,191,192,196,
200,208,228,236,245,247,257,264,267,271,276,284,342,405,413,429,457,460,471,
532,561,566,578,779],[1,3,4,5,6,7,8,10,14,15,16,18,21,23,24,28,32,33,38,39,40,
42,44,49,52,56,59,60,61,62,64,65,66,71,72,77,97,102,103,110,116,128,130,152,
153,157,158,164,172,179,181,182,189,192,194,200,207,208,213,229,247,248,267,
271,273,282,285,352,382,405,413,439,468,473,554,564,571,581,780],[1,2,4,5,10,
14,19,27,30,36,40,43,45,57,76,91,113,115,138,161,166,178,190,193,223,358,406,
421,437,458,459,494,781],[1,2,4,5,6,10,15,16,17,19,21,24,32,33,34,39,40,42,43,
44,45,53,56,60,71,77,98,101,106,111,113,118,140,142,143,154,158,164,171,179,
183,207,211,222,229,236,244,245,257,271,273,284,285,331,407,409,434,447,452,
480,516,529,564,578,782],[1,2,4,5,7,8,14,19,25,26,27,30,37,48,49,76,91,107,
121,139,141,162,166,174,190,205,270,349,356,359,421,454,474,490,783],[1,2,4,5,
6,9,10,17,19,29,30,40,43,44,45,48,53,55,68,76,106,107,113,150,166,190,226,227,
233,278,286,290,295,348,386,426,448,482,488,490,784],[1,2,4,5,6,9,10,17,19,29,
30,40,43,44,45,48,53,55,57,68,106,107,113,138,150,166,217,226,227,233,246,295,
361,390,394,406,448,482,488,785],[1,2,4,5,7,8,9,10,19,20,25,26,29,37,41,43,47,
49,51,54,55,62,63,66,67,68,69,70,73,74,78,79,80,99,121,135,137,144,150,151,
175,185,188,202,209,215,219,232,239,241,259,272,288,289,291,293,365,383,395,
523,533,552,557,558,576,786],[1,2,4,5,7,8,9,10,19,22,25,26,29,35,37,43,46,49,
50,54,55,62,63,66,67,68,69,70,74,75,78,80,81,105,121,135,136,150,167,168,170,
186,188,195,197,215,219,230,231,241,272,275,287,294,296,297,365,396,403,520,
524,526,538,540,543,787],[1,5,6,7,8,10,15,21,25,26,32,33,35,36,38,39,44,51,52,
54,59,61,62,65,66,70,71,73,74,75,112,116,120,128,152,182,196,197,202,214,220,
229,236,242,248,250,256,268,363,393,433,440,460,463,468,788],[1,2,4,5,6,9,10,
17,19,29,40,43,44,45,48,53,55,57,68,76,106,107,113,138,150,190,217,226,227,
246,286,290,349,386,390,426,448,459,491,789],[1,5,6,8,16,25,36,38,39,44,81,93,
108,119,230,256,339,380,790],[1,2,4,5,6,9,10,15,16,17,19,24,29,30,32,33,40,43,
45,55,56,57,68,76,98,111,113,118,138,150,154,166,179,190,266,269,290,295,331,
386,388,406,431,459,482,791],[1,3,4,5,6,7,8,10,15,16,18,23,24,25,26,28,45,56,
59,60,61,62,63,64,65,66,67,71,72,110,118,120,132,143,149,152,155,156,187,192,
200,218,247,253,267,271,346,363,372,412,413,445,453,792],[1,5,6,7,8,9,10,15,
22,25,26,33,38,46,47,51,54,57,59,61,66,68,69,79,80,120,128,145,151,170,188,
209,221,243,269,283,291,293,371,402,441,552,553,793],[1,5,6,7,8,10,15,21,31,
32,33,38,39,41,44,45,46,48,52,56,58,59,60,62,65,66,69,70,73,75,109,116,118,
128,182,192,198,201,213,226,227,237,238,245,264,279,280,285,338,430,436,457,
472,473,475,794],[1,3,4,5,6,15,16,18,21,23,24,27,28,34,36,39,42,44,48,53,60,
77,103,110,114,119,140,148,153,158,159,169,176,180,183,191,192,206,244,274,
337,397,417,456,465,470,478,795],[1,2,4,5,6,13,14,17,18,19,27,34,42,44,53,57,
76,77,90,91,106,129,138,142,148,160,161,178,189,190,270,356,358,370,499,522,
796],[1,2,4,5,6,7,8,9,17,19,25,26,29,30,36,37,44,49,53,55,57,68,106,115,121,
138,150,166,204,220,233,256,265,283,355,391,394,408,420,488,494,797],[1,4,5,6,
9,14,16,27,55,57,60,68,77,117,161,178,183,184,262,266,353,483,484,798],[1,4,5,
6,9,14,16,27,55,57,68,71,77,117,143,161,178,184,262,266,340,483,484,799],[1,4,
5,6,7,8,10,15,25,26,27,32,33,34,35,38,48,51,52,54,59,60,61,62,65,66,70,71,73,
74,75,94,109,120,128,139,152,162,182,192,197,202,214,228,242,250,257,268,276,
284,369,412,429,430,463,466,471,800],[1,3,4,5,6,7,8,10,15,16,18,20,23,24,25,
26,28,31,32,33,35,38,40,41,45,46,47,49,50,51,52,54,56,58,59,61,62,63,64,65,66,
67,69,70,72,73,74,75,96,110,111,118,120,125,126,128,130,132,144,147,149,151,
155,156,157,167,172,173,175,179,181,182,186,197,198,199,200,201,202,203,208,
210,212,214,216,218,221,224,232,235,237,238,242,247,249,250,252,253,254,255,
260,261,268,275,277,279,280,344,351,366,384,405,435,436,445,463,515,525,531,
536,544,551,577,587,589,801],[1,3,4,5,6,7,8,10,14,15,16,18,21,23,24,25,26,28,
36,39,42,44,45,48,56,59,61,62,63,64,65,66,67,72,77,97,102,103,109,110,112,116,
118,120,132,141,149,153,155,156,158,164,174,189,200,206,218,220,223,226,227,
247,253,256,274,352,374,375,440,445,475,495,501,512,545,565,802],[1,4,5,6,9,
14,16,27,57,68,71,76,77,100,117,143,161,240,266,270,340,467,485,803],[1,4,5,6,
7,8,15,25,26,27,34,48,61,79,81,94,109,120,139,162,209,230,369,402,438,804],[1,
2,3,4,5,6,12,17,19,23,28,36,48,95,107,115,274,292,364,559,805],[1,2,4,5,7,8,9,
10,13,18,19,25,26,29,30,37,40,43,45,49,55,57,62,63,66,67,68,76,90,113,121,131,
138,150,155,156,157,166,190,204,219,234,251,283,295,378,391,399,424,454,459,
482,806],[1,2,4,5,6,10,17,19,30,40,43,44,45,48,53,57,76,106,107,113,138,166,
190,226,227,263,360,394,406,448,459,490,491,807],[1,4,5,6,10,13,14,16,21,27,
32,33,34,36,45,53,60,71,77,111,117,119,140,143,160,183,193,223,229,257,284,
285,323,407,449,456,477,480,487,808],[1,4,5,6,10,14,16,18,21,24,27,32,33,34,
36,39,42,44,45,53,71,77,111,117,119,129,140,143,148,158,164,180,189,193,207,
211,223,229,236,257,340,392,398,447,477,480,487,809],[1,4,5,6,10,14,15,16,18,
27,32,33,36,39,42,44,45,53,60,71,77,97,111,117,119,143,148,158,183,189,193,
207,223,236,244,245,273,357,398,409,447,449,465,487,810],[1,3,4,5,6,14,15,16,
18,23,24,27,28,34,39,42,44,53,60,71,77,102,108,110,117,129,143,153,159,169,
183,189,191,192,211,244,267,281,337,350,353,416,446,449,492,811],[1,2,4,5,6,7,
8,17,19,25,26,30,36,37,44,49,53,57,76,106,115,121,138,145,165,166,190,220,256,
345,394,408,437,454,491,494,812],[1,2,4,5,13,18,19,36,48,90,107,115,206,292,
343,559,813],[1,3,4,5,6,14,15,16,18,23,24,27,28,34,39,42,44,53,60,71,77,102,
108,110,117,129,143,152,153,169,183,187,189,191,211,244,267,281,340,346,373,
416,446,449,492,814],[1,4,5,6,10,15,27,34,36,45,56,94,112,118,193,292,347,580,
815],[1,4,5,6,10,14,16,18,21,24,27,32,33,34,36,39,42,44,45,53,60,77,111,117,
119,129,140,148,158,164,180,183,189,193,211,223,245,273,284,285,353,392,407,
409,456,465,487,816],[1,2,4,5,9,10,14,19,27,29,30,36,40,43,45,55,68,76,91,100,
113,115,150,166,184,190,193,223,290,295,325,386,420,421,458,479,482,817],[1,5,
6,10,14,15,36,42,45,56,97,112,118,223,292,374,580,818],[1,5,6,10,14,15,36,42,
45,56,57,97,112,118,161,223,374,455,819],[1,3,4,5,6,15,16,18,21,23,24,27,28,
34,36,39,44,48,53,60,71,77,94,104,110,114,116,119,129,140,143,169,171,183,191,
206,267,274,281,342,443,456,470,477,478,492,820],[1,5,6,7,8,10,14,15,25,26,32,
33,35,38,42,48,51,52,54,59,60,61,62,65,66,70,71,73,74,75,97,109,120,128,141,
152,174,182,192,194,197,202,207,214,242,250,268,273,282,375,382,412,439,444,
463,472,821],[1,2,4,5,6,15,16,17,19,24,36,98,112,115,119,292,329,517,559,580,
822],[1,5,6,7,8,9,10,15,20,25,26,32,35,41,50,52,57,61,62,65,68,69,74,78,81,
120,135,144,165,182,186,199,204,230,249,269,294,297,366,410,438,513,540,823],[
1,4,5,6,9,13,15,18,24,27,34,39,42,44,53,55,57,68,76,77,94,129,148,160,171,178,
180,184,211,234,240,244,251,269,270,286,428,486,489,499,519,522,579,824],[1,2,
3,7,8,9,10,12,20,29,30,37,43,46,50,51,64,72,75,78,79,80,81,99,123,125,134,136,
195,239,241,255,265,289,293,294,295,296,333,514,520,523,530,535,541,825],[1,5,
6,7,8,9,10,16,22,25,35,38,46,50,51,54,56,57,59,61,62,65,66,68,69,70,73,78,81,
93,135,165,170,186,202,230,242,243,247,258,266,279,283,287,294,296,297,380,
425,496,513,524,534,540,826],[1,2,3,4,5,6,7,8,10,12,17,19,21,23,28,32,33,34,
37,38,39,42,43,52,56,60,61,62,63,64,66,67,71,72,77,95,101,103,104,130,134,142,
146,153,154,159,169,173,177,181,187,194,196,200,207,213,219,222,228,229,236,
245,248,253,257,264,267,273,276,282,284,285,332,419,442,500,502,504,509,516,
529,532,550,560,561,571,581,827],[1,3,4,5,6,7,8,10,13,21,23,24,27,28,32,33,34,
38,39,40,42,44,49,52,53,56,59,60,61,63,64,65,67,71,72,77,92,104,131,147,153,
159,160,163,164,169,171,172,173,176,177,179,180,187,191,194,196,207,208,211,
213,218,228,229,236,245,248,253,257,264,271,273,276,281,282,284,285,404,427,
461,502,509,527,528,539,550,554,560,564,566,568,578,828],[1,4,7,8,9,10,13,20,
22,31,40,47,49,50,55,63,67,70,76,78,79,80,81,131,168,175,205,215,231,234,254,
259,287,289,290,291,294,334,507,538,546,555,557,588,829],[1,4,7,8,9,10,13,35,
40,41,46,49,51,54,55,58,63,67,69,73,74,75,76,78,79,80,81,131,167,185,205,215,
224,225,231,232,234,259,275,277,288,290,293,296,297,389,507,537,543,546,558,
563,830],[1,2,3,7,8,9,10,12,22,29,30,35,37,41,43,47,64,72,73,78,79,80,81,105,
122,123,134,137,195,239,241,260,265,287,288,291,295,297,335,511,514,526,535,
576,583,831],[1,2,6,7,8,9,10,17,20,22,29,30,35,37,38,43,51,52,54,59,61,65,69,
70,74,78,79,80,81,99,105,133,146,195,199,233,239,241,242,243,265,268,272,287,
289,293,295,297,415,506,521,523,526,541,583,832],[1,5,6,7,8,9,10,16,20,26,35,
41,47,51,52,56,57,59,61,62,65,66,68,69,70,74,75,79,80,96,144,145,151,188,197,
199,204,209,210,237,247,266,268,288,289,291,293,384,450,493,508,533,552,553,
833],[1,2,6,7,8,9,10,17,29,30,31,32,33,37,41,43,46,47,50,56,58,59,65,73,75,78,
79,80,81,124,133,136,137,154,195,201,203,233,238,239,241,252,265,288,291,294,
295,296,401,506,511,520,521,530,576,834],[1,4,5,7,8,9,10,18,20,26,35,40,41,45,
46,47,49,55,58,62,63,66,70,74,75,76,78,79,80,81,144,156,157,167,175,197,205,
215,231,235,251,259,277,280,289,290,291,296,297,435,543,557,563,574,575,588,
835],[1,4,5,7,8,9,10,18,22,25,40,41,45,46,49,50,51,54,55,58,62,66,67,70,73,76,
78,79,80,81,155,157,168,170,185,202,205,212,215,225,231,251,259,280,287,288,
290,293,294,400,537,538,555,558,574,575,836],[1,2,7,8,37,79,82,239,298,299,
300,590,595,837],[1,2,7,8,37,81,82,195,298,299,300,590,594,838],[1,2,3,7,8,10,
12,37,43,64,72,82,134,298,299,300,301,302,590,591,592,593,596,839],[1,4,5,6,
11,13,14,16,21,27,34,53,77,117,140,160,303,305,306,323,840],[1,4,7,8,10,11,13,
20,22,31,40,47,49,50,63,67,70,131,168,175,254,304,305,307,313,334,841],[1,2,4,
5,11,14,19,27,30,85,91,166,303,310,324,597,842],[1,2,4,5,11,14,19,27,30,76,85,
91,166,190,303,308,421,597,843],[1,2,4,5,9,11,14,19,27,29,55,57,68,85,88,91,
138,150,240,262,303,315,422,597,609,844],[1,2,4,5,7,8,11,14,19,25,26,27,37,48,
49,83,84,85,91,107,121,139,141,162,174,303,312,474,597,598,599,845],[1,2,4,5,
10,11,14,19,27,36,40,43,45,85,87,91,113,115,193,223,303,311,458,597,611,846],[
1,2,3,4,5,6,11,12,14,17,19,23,27,28,44,53,85,89,91,95,102,106,191,303,314,322,
597,600,847],[1,2,4,5,9,11,14,19,27,29,55,68,85,86,91,100,150,184,303,309,325,
597,603,848],[1,2,4,5,9,11,13,18,19,29,55,68,76,85,88,90,150,190,234,251,305,
315,424,605,628,849],[1,5,7,9,11,14,26,48,57,68,80,83,86,88,100,141,188,204,
246,262,278,303,316,556,599,603,609,850],[1,2,7,8,11,20,30,37,51,81,85,99,195,
265,307,308,541,601,851],[1,2,7,8,9,11,22,29,35,37,78,80,81,85,88,105,195,241,
287,297,304,315,526,606,625,852],[1,2,3,7,8,10,11,12,22,35,37,41,43,47,64,72,
73,85,89,105,122,134,137,260,304,314,335,606,616,853],[1,5,8,9,11,14,25,48,57,
68,78,84,86,88,100,135,174,217,262,278,283,303,318,497,598,603,609,854],[1,2,
7,8,9,11,20,29,37,51,78,79,80,85,88,99,239,241,289,293,307,315,523,601,614,
855],[1,2,3,4,5,6,11,12,17,19,21,23,28,34,39,42,77,85,89,95,101,103,104,142,
153,169,306,314,332,602,604,607,856],[1,3,4,6,8,10,11,21,28,33,34,38,67,71,72,
84,87,89,104,177,187,229,248,257,276,306,319,502,604,610,613,857],[1,2,4,5,11,
13,18,19,30,57,85,90,138,166,305,308,399,605,858],[1,2,6,10,11,17,21,32,33,39,
43,56,60,71,85,87,101,154,222,229,236,245,285,306,311,529,602,612,613,859],[1,
3,4,6,7,10,11,21,28,32,34,52,60,63,64,83,87,89,104,159,173,213,228,284,285,
306,317,560,604,608,612,860],[1,3,5,6,8,10,11,21,23,32,38,42,60,66,71,72,84,
87,89,103,181,207,248,267,282,285,306,319,571,607,610,612,861],[1,3,5,6,7,10,
11,14,23,26,36,44,45,48,64,65,83,87,89,102,141,149,220,223,226,274,303,317,
565,599,600,611,862],[1,2,3,4,5,6,11,12,13,15,16,17,18,19,23,24,28,85,89,90,
92,95,98,110,305,314,320,605,626,863],[1,3,5,6,7,10,11,21,23,33,42,52,60,62,
64,71,83,87,89,103,130,194,213,229,267,273,306,317,581,607,608,613,864],[1,3,
5,6,8,10,11,14,23,25,36,44,45,48,59,72,84,87,89,102,132,174,223,227,256,274,
303,319,545,598,600,611,865],[1,2,6,7,8,11,17,21,37,38,39,52,60,61,71,83,84,
85,101,146,196,213,222,248,264,306,312,504,602,608,610,866],[1,2,7,8,11,22,30,
35,37,79,85,105,239,265,304,308,583,606,867],[1,2,3,7,8,10,11,12,20,37,43,46,
50,51,64,72,75,85,89,99,125,134,136,255,307,314,333,601,629,868],[1,2,3,7,8,
10,11,12,31,37,43,54,58,64,69,70,72,74,85,89,124,126,127,134,216,261,272,313,
314,379,618,620,622,869],[1,2,3,7,8,9,10,11,12,29,30,37,43,64,72,78,80,83,84,
85,86,87,88,89,123,134,241,265,295,308,309,310,311,312,314,315,316,317,318,
319,514,615,617,619,621,623,624,627,870],[1,7,11,20,82,83,298,307,871],[1,8,
11,22,82,84,299,304,872],[1,10,11,31,82,87,302,313,873],[1,2,3,4,5,6,12,13,14,
15,16,17,18,19,21,23,24,27,28,34,39,42,44,53,77,90,91,92,94,95,97,98,101,102,
103,104,106,108,110,116,117,129,140,142,148,153,158,160,164,169,171,176,180,
189,191,211,244,320,321,322,323,326,327,332,342,352,357,370,377,392,417,428,
446,452,461,464,630,632,633,639,642,874],[1,2,3,4,5,6,12,13,15,16,17,18,19,23,
24,28,36,48,90,92,95,98,107,109,110,112,114,115,119,206,274,320,329,330,343,
364,478,495,640,643,875],[1,2,3,4,5,6,7,8,10,12,13,15,16,17,18,19,20,22,23,24,
25,26,28,31,32,33,35,37,38,40,41,43,45,46,47,49,50,51,52,54,56,58,59,61,62,63,
64,65,66,67,69,70,72,73,74,75,90,92,93,95,96,98,99,105,110,111,113,118,120,
121,122,124,125,126,127,128,130,131,132,133,134,136,137,144,146,147,149,151,
154,155,156,157,163,167,168,170,172,173,175,177,179,181,182,185,186,197,198,
199,200,201,202,203,208,210,212,214,216,218,219,221,224,225,232,235,237,238,
242,243,247,249,250,252,253,254,255,258,260,261,268,272,275,277,279,280,320,
328,331,333,334,335,336,344,351,354,366,368,371,378,379,381,383,384,389,396,
400,401,404,405,415,425,435,436,442,445,463,503,505,510,515,518,525,531,536,
544,547,549,551,577,582,587,589,638,641,655,680,694,705,730,801,876],[1,2,4,5,
6,13,14,15,16,17,18,19,21,24,27,30,34,39,42,44,53,76,77,90,91,94,97,98,101,
106,117,129,140,142,148,158,160,164,166,171,180,189,190,211,244,270,323,324,
327,356,357,370,392,421,428,431,452,485,486,632,660,685,877],[1,2,4,5,6,9,13,
14,15,16,17,18,19,21,24,27,29,34,39,42,44,53,55,57,68,77,90,91,94,97,98,100,
101,106,117,129,138,140,142,148,150,158,160,161,164,171,178,180,184,189,211,
240,244,262,266,269,323,325,327,357,358,370,388,392,422,428,452,455,467,481,
483,484,489,632,644,650,672,760,878],[1,2,3,4,5,6,12,13,15,16,17,18,19,23,24,
28,60,71,90,92,95,98,110,143,152,159,183,187,192,222,267,271,281,320,337,346,
413,419,427,432,434,492,667,693,879],[1,2,3,4,5,6,7,8,10,12,13,15,16,17,18,19,
23,24,25,26,28,32,33,37,38,40,43,45,49,52,56,59,60,61,62,63,64,65,66,67,71,72,
90,92,93,95,96,98,110,111,113,118,120,121,128,130,131,132,133,134,143,146,147,
149,152,154,155,156,157,159,163,172,173,177,179,181,182,183,187,192,200,208,
218,219,222,247,253,267,271,281,320,328,331,336,337,338,344,346,354,363,367,
372,378,381,404,405,412,413,419,427,432,434,442,445,453,492,638,667,674,676,
709,792,880],[1,2,4,5,6,7,8,9,14,15,16,17,19,24,25,26,27,29,34,37,38,42,48,49,
52,55,57,61,68,77,78,80,91,93,94,96,97,98,100,107,109,114,117,120,121,135,138,
139,141,142,145,146,150,161,162,165,172,174,178,180,184,188,204,215,217,240,
241,246,262,263,266,269,278,283,325,327,328,330,341,345,348,358,360,365,369,
375,376,388,390,391,410,422,441,450,467,474,481,484,489,496,497,542,548,556,
562,567,570,572,584,585,634,650,651,675,704,708,720,722,737,763,881],[1,2,3,4,
5,6,12,13,14,15,16,17,18,19,21,23,24,27,28,34,39,42,44,53,60,71,77,90,91,92,
94,95,97,98,101,102,103,104,106,108,110,116,117,129,140,142,143,148,152,153,
158,159,160,164,169,171,176,180,183,187,189,191,192,211,222,244,267,271,281,
320,322,326,327,332,337,340,342,346,350,352,353,370,373,413,416,417,419,427,
432,434,446,449,452,461,492,639,647,667,682,811,814,882],[1,2,3,4,5,6,12,13,
15,16,17,18,19,23,24,28,36,48,60,71,90,92,95,98,107,109,110,112,114,115,119,
143,152,159,183,187,192,206,222,267,271,274,281,320,329,330,337,343,346,364,
413,419,427,432,434,478,492,495,640,667,748,883],[1,2,3,4,5,6,7,8,10,12,13,14,
15,16,17,18,19,21,23,24,25,26,27,28,32,33,34,36,37,38,39,40,42,43,44,45,48,49,
52,53,56,59,61,62,63,64,65,66,67,72,77,90,91,92,93,94,95,96,97,98,101,102,103,
104,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,128,129,
130,131,132,133,134,139,140,141,142,146,147,148,149,153,154,155,156,157,158,
160,162,163,164,169,171,172,173,174,176,177,179,180,181,182,189,191,193,200,
206,208,211,218,219,220,223,226,227,244,247,253,256,274,320,322,326,327,328,
329,330,331,332,336,339,341,342,343,344,347,352,354,362,364,369,370,374,375,
376,378,381,404,405,408,417,423,440,442,445,446,448,452,458,461,474,475,478,
487,495,498,501,512,545,565,569,573,586,634,635,636,637,638,639,640,696,698,
723,735,755,802,884],[1,2,4,5,6,10,14,15,16,17,19,24,27,32,33,34,36,40,42,43,
45,56,57,77,91,94,97,98,111,112,113,115,117,118,119,138,142,154,161,178,179,
180,193,223,327,329,331,347,358,374,455,458,483,487,637,672,819,885],[1,2,4,5,
6,10,14,15,16,17,19,24,27,32,33,34,36,40,42,43,45,56,76,77,91,94,97,98,111,
112,113,115,117,118,119,142,154,179,180,190,193,223,270,327,329,331,347,356,
374,458,485,486,487,637,660,736,886],[1,2,4,5,6,7,8,14,15,16,17,19,24,25,26,
27,30,34,37,38,42,48,49,52,61,76,77,91,93,94,96,97,98,107,109,114,117,120,121,
139,141,142,146,162,166,172,174,180,190,205,265,270,324,327,328,330,341,349,
355,356,359,361,369,375,376,421,431,454,474,490,634,648,681,685,707,783,887],[
1,2,4,5,6,7,8,15,16,17,19,21,24,25,26,36,37,38,39,44,49,52,53,61,79,93,96,98,
101,106,108,112,115,116,119,120,121,146,172,176,209,220,239,256,259,326,328,
329,339,362,395,402,408,440,493,636,668,764,888],[1,2,4,5,6,7,8,15,16,17,19,
21,24,25,26,36,37,38,39,44,49,52,53,61,81,93,96,98,101,106,108,112,115,116,
119,120,121,146,172,176,195,220,230,231,256,326,328,329,339,362,380,403,408,
438,440,636,653,790,889],[1,2,4,5,6,7,8,10,15,16,17,19,20,21,22,24,25,26,32,
33,35,36,37,38,39,41,43,44,46,47,49,50,51,52,53,54,56,59,60,61,62,63,65,66,67,
69,70,71,73,74,75,93,96,98,99,101,105,106,108,112,115,116,119,120,121,128,133,
136,137,144,146,147,151,152,154,163,167,168,170,172,175,176,182,185,186,192,
196,197,199,202,210,213,214,218,219,220,221,222,229,232,236,237,242,243,245,
247,248,249,250,256,258,264,268,272,275,279,281,285,326,328,329,339,362,363,
366,367,371,381,383,384,387,393,396,408,412,415,425,432,433,440,457,460,463,
468,469,473,503,504,510,527,528,529,544,636,674,680,697,712,718,719,765,788,
890],[1,2,4,5,6,10,14,15,16,17,19,24,27,32,33,34,36,40,42,43,45,56,77,91,94,
97,98,111,112,113,115,117,118,119,142,154,179,180,193,223,292,327,329,331,347,
374,458,487,517,559,580,637,815,818,822,891],[1,2,4,5,6,9,10,15,16,17,19,21,
24,29,30,32,33,39,40,43,44,45,48,53,55,56,57,68,76,98,101,106,107,108,109,111,
113,114,116,118,138,150,154,166,176,179,190,217,226,227,233,246,263,266,269,
278,286,290,295,326,330,331,348,349,360,361,386,388,390,394,406,423,426,431,
448,459,475,482,488,490,491,548,562,635,648,651,756,784,785,789,791,807,892],[
1,2,4,5,6,7,8,9,15,16,17,19,24,25,26,29,37,38,49,52,55,57,60,61,68,71,78,80,
81,93,96,98,120,121,135,138,145,146,150,152,165,172,188,192,195,204,215,222,
230,231,241,266,269,281,283,328,345,363,365,367,380,388,391,403,410,412,432,
438,441,450,496,653,674,675,726,727,893],[1,2,4,5,6,7,8,10,14,15,16,17,19,20,
22,24,25,26,27,32,33,34,35,37,38,41,42,43,46,47,48,49,50,51,52,54,56,59,60,61,
62,63,65,66,67,69,70,71,73,74,75,77,91,93,94,96,97,98,99,105,107,109,114,117,
120,121,128,133,136,137,139,141,142,144,146,147,151,152,154,162,163,167,168,
170,172,174,175,180,182,185,186,192,194,197,199,202,207,210,214,218,219,221,
222,228,232,237,242,243,247,249,250,257,258,268,272,273,275,276,279,281,282,
284,327,328,330,341,363,366,367,369,371,375,376,381,382,383,384,396,412,415,
425,429,430,432,439,444,463,466,471,472,474,500,503,510,516,539,544,568,634,
652,663,670,674,680,683,700,710,800,821,894],[1,2,4,5,6,9,14,15,16,17,19,24,
27,29,34,42,55,57,60,68,71,76,77,91,94,97,98,100,117,138,142,143,150,161,178,
180,183,184,190,222,240,262,266,269,270,271,325,327,340,353,356,358,388,422,
434,449,467,481,484,485,486,489,647,650,660,721,803,895],[1,2,4,5,6,7,8,9,15,
16,17,19,24,25,26,29,37,38,49,52,55,57,60,61,68,71,78,79,80,93,96,98,120,121,
135,138,145,146,150,152,165,172,188,192,204,209,215,222,239,241,259,266,269,
281,283,328,345,363,365,367,388,391,395,402,410,412,432,441,450,493,496,668,
674,675,724,725,896],[1,2,4,5,6,7,8,9,10,15,16,17,19,20,22,24,25,26,29,32,33,
35,37,38,41,43,46,47,49,50,51,52,54,55,56,57,59,61,62,63,65,66,67,68,69,70,73,
74,75,78,79,80,93,96,98,99,105,120,121,128,133,135,136,137,138,144,145,146,
147,150,151,154,163,165,167,168,170,172,175,182,185,186,188,197,199,202,204,
209,210,214,215,218,219,221,232,237,239,241,242,243,247,249,250,258,259,266,
268,269,272,275,279,283,288,289,291,293,328,345,365,366,371,381,383,384,388,
391,395,396,402,410,415,425,441,450,463,493,496,503,508,510,523,533,544,552,
553,557,558,576,668,675,680,699,759,786,793,833,897],[1,2,3,4,5,6,7,8,10,12,
13,15,16,17,18,19,23,24,25,26,28,32,33,36,37,38,40,43,45,48,49,52,56,59,60,61,
62,63,64,65,66,67,71,72,90,92,93,95,96,98,107,109,110,111,112,113,114,115,118,
119,120,121,128,130,131,132,133,134,143,146,147,149,152,154,155,156,157,159,
163,172,173,177,179,181,182,183,187,192,200,206,208,218,219,222,247,253,267,
271,274,281,320,328,329,330,331,336,337,343,344,346,354,364,378,381,387,393,
404,405,413,419,427,430,432,433,434,442,444,445,466,469,472,478,492,495,638,
640,667,697,701,710,745,758,768,898],[1,2,4,5,6,7,8,9,15,16,17,19,21,24,25,26,
29,30,36,37,38,39,44,49,52,53,55,57,61,68,76,78,80,93,96,98,101,106,108,112,
115,116,119,120,121,135,138,145,146,150,165,166,172,176,188,190,204,205,215,
220,233,241,256,265,266,269,283,286,326,328,329,339,345,355,359,362,365,388,
391,394,408,410,420,426,431,437,440,441,450,454,479,488,491,494,496,636,675,
681,743,750,754,756,797,812,899],[1,2,4,5,6,7,8,10,14,15,16,17,19,24,27,31,32,
33,34,36,37,38,40,41,42,43,45,46,47,50,52,54,56,58,59,60,61,62,63,65,66,67,69,
70,71,73,74,75,77,91,94,97,98,111,112,113,115,117,118,119,124,128,133,136,137,
142,146,147,152,154,163,179,180,182,192,193,194,198,201,203,207,210,212,214,
218,219,221,222,223,224,225,228,235,237,238,247,249,250,252,254,257,258,272,
273,276,277,279,280,281,282,284,327,329,331,338,347,351,368,372,374,381,382,
387,393,401,429,432,433,436,439,453,458,469,471,487,500,510,515,516,518,531,
539,568,582,637,645,655,658,661,676,686,695,697,700,713,900],[1,2,4,5,6,7,8,
15,16,17,19,24,25,26,30,37,38,49,52,60,61,71,76,81,93,96,98,120,121,146,152,
166,172,190,192,195,205,222,230,231,265,281,328,355,359,363,367,380,403,412,
431,432,438,454,653,674,681,901],[1,2,4,5,6,9,13,14,15,16,17,18,19,21,24,27,
29,34,39,42,44,53,55,57,68,76,77,90,91,94,97,98,100,101,106,117,129,138,140,
142,148,150,158,160,161,164,171,178,180,184,189,190,211,234,240,244,251,262,
266,269,270,286,323,325,327,356,357,358,370,388,392,422,424,426,428,452,467,
481,484,485,486,489,499,519,522,579,632,650,660,688,728,729,796,824,902],[1,2,
4,5,6,7,8,9,10,15,16,17,19,20,22,24,25,26,29,32,33,35,37,38,41,43,46,47,49,50,
51,52,54,55,56,57,59,61,62,63,65,66,67,68,69,70,73,74,75,78,80,81,93,96,98,99,
105,120,121,128,133,135,136,137,138,144,145,146,147,150,151,154,163,165,167,
168,170,172,175,182,185,186,188,195,197,199,202,204,210,214,215,218,219,221,
230,231,232,237,241,242,243,247,249,250,258,266,268,269,272,275,279,283,287,
294,296,297,328,345,365,366,371,380,381,383,384,388,391,396,403,410,415,425,
438,441,450,463,496,503,510,513,520,524,526,534,538,540,543,544,653,675,680,
717,751,787,823,826,903],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,21,23,24,
25,26,27,28,32,33,34,37,38,39,40,42,43,44,45,49,52,53,56,59,60,61,62,63,64,65,
66,67,71,72,77,90,91,92,93,94,95,96,97,98,101,102,103,104,106,108,110,111,113,
116,117,118,120,121,128,129,130,131,132,133,134,140,142,143,146,147,148,149,
152,153,154,155,156,157,158,159,160,163,164,169,171,172,173,176,177,179,180,
181,182,183,187,189,191,192,194,196,200,207,208,211,213,218,219,222,228,229,
236,244,245,247,248,253,257,264,267,271,273,276,281,282,284,285,320,322,326,
327,328,331,332,336,337,342,344,346,352,354,370,378,381,382,404,405,407,409,
411,413,414,417,419,427,429,432,434,439,442,445,446,447,451,452,457,460,461,
468,471,473,476,480,492,500,502,504,509,516,527,528,529,532,539,550,554,560,
561,564,566,568,571,578,581,638,639,646,667,678,679,690,700,706,731,765,771,
779,780,782,827,828,904],[1,2,4,5,6,9,14,15,16,17,19,24,27,29,34,42,55,57,60,
68,71,77,91,94,97,98,100,117,138,142,143,150,161,178,180,183,184,222,240,262,
266,269,271,325,327,340,353,358,388,422,434,449,455,467,481,483,484,489,647,
650,672,798,799,905],[1,2,4,5,6,7,8,14,15,16,17,19,24,25,26,27,34,37,38,42,48,
49,52,57,61,76,77,91,93,94,96,97,98,107,109,114,117,120,121,138,139,141,142,
146,161,162,172,174,178,180,190,270,327,328,330,341,356,358,369,375,376,455,
474,483,485,486,634,660,672,749,770,906],[1,2,4,5,6,7,8,10,15,16,17,19,20,22,
24,25,26,30,32,33,35,37,38,41,43,46,47,49,50,51,52,54,56,59,61,62,63,65,66,67,
69,70,73,74,75,76,79,93,96,98,99,105,120,121,128,133,136,137,144,146,147,151,
154,163,166,167,168,170,172,175,182,185,186,190,197,199,202,205,209,210,214,
218,219,221,232,237,239,242,243,247,249,250,258,259,265,268,272,275,279,328,
355,359,366,371,381,383,384,395,396,402,415,425,431,454,463,493,503,510,530,
544,555,563,583,668,680,681,732,757,907],[1,2,4,5,6,7,8,15,16,17,19,21,24,25,
26,34,36,37,38,39,42,44,49,52,53,60,61,71,77,93,96,98,101,106,108,112,115,116,
119,120,121,140,142,143,146,158,164,171,172,176,183,194,196,211,213,220,222,
228,244,248,256,264,271,276,282,321,326,328,329,339,350,362,373,377,398,408,
411,414,416,434,440,451,452,456,464,465,476,477,500,504,554,566,630,636,654,
659,671,677,682,752,766,771,776,908],[1,2,4,5,6,13,14,15,16,17,18,19,21,24,27,
30,34,39,42,44,53,57,76,77,90,91,94,97,98,101,106,117,129,138,140,142,148,158,
160,161,164,166,171,178,180,189,190,211,244,270,323,324,327,356,357,358,370,
392,394,399,421,428,431,452,455,483,499,522,632,662,672,685,796,909],[1,2,4,5,
6,7,8,10,15,16,17,19,21,24,31,32,33,37,38,39,40,41,43,44,45,46,47,48,50,52,53,
54,56,58,59,60,61,62,63,65,66,67,69,70,71,73,74,75,98,101,106,107,108,109,111,
113,114,116,118,124,128,133,136,137,146,147,152,154,163,176,179,182,192,196,
198,201,203,210,212,213,214,218,219,221,222,224,225,226,227,229,235,236,237,
238,245,247,248,249,250,252,254,258,264,272,277,279,280,281,285,326,330,331,
338,351,368,372,381,401,423,430,432,436,444,448,453,457,460,466,468,472,473,
475,504,510,515,518,527,528,529,531,582,635,655,676,710,740,744,761,765,794,
910],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,23,24,25,26,28,29,30,32,33,37,
38,40,43,45,49,52,55,56,57,59,61,62,63,64,65,66,67,68,72,76,78,80,90,92,93,95,
96,98,110,111,113,118,120,121,123,128,130,131,132,133,134,135,138,145,146,147,
149,150,154,155,156,157,163,165,166,172,173,177,179,181,182,188,190,200,204,
205,208,215,218,219,233,234,241,247,251,253,265,266,269,283,290,295,320,328,
331,336,344,345,354,355,359,365,378,381,386,388,391,399,404,405,406,410,418,
424,431,441,442,445,450,454,459,462,482,496,506,514,546,574,638,657,664,665,
675,681,684,703,716,791,806,911],[1,2,4,5,6,10,15,16,17,19,21,24,32,33,34,39,
40,42,43,44,45,48,53,56,60,71,77,98,101,106,107,108,109,111,113,114,116,118,
140,142,143,154,158,164,171,176,179,183,207,211,222,226,227,229,236,244,245,
257,271,273,284,285,321,326,330,331,350,373,377,385,397,407,409,416,423,434,
443,447,448,452,464,470,475,480,516,529,564,578,630,635,682,733,734,773,775,
777,782,912],[1,2,4,5,6,7,8,15,16,17,19,24,25,26,30,37,38,49,52,60,61,71,76,
79,93,96,98,120,121,146,152,166,172,190,192,205,209,222,239,259,265,281,328,
355,359,363,367,395,402,412,431,432,454,493,668,674,681,913],[1,2,3,4,5,6,12,
13,14,15,16,17,18,19,21,23,24,27,28,34,39,42,44,53,57,76,77,90,91,92,94,95,97,
98,101,102,103,104,106,108,110,116,117,129,138,140,142,148,153,158,160,161,
164,169,171,176,178,180,189,190,191,211,244,270,320,322,326,327,332,342,352,
356,358,370,417,418,446,452,455,461,483,485,486,491,499,522,639,660,672,687,
796,914],[1,2,3,4,5,6,12,13,14,15,16,17,18,19,21,23,24,27,28,34,36,39,42,44,
48,53,60,71,77,90,91,92,94,95,97,98,101,102,103,104,106,107,108,109,110,112,
114,115,116,117,119,129,140,142,143,148,152,153,158,159,160,164,169,171,176,
180,183,187,189,191,192,206,211,222,244,267,271,274,281,320,322,326,327,329,
330,332,337,342,343,346,352,364,370,385,397,398,413,417,419,427,432,434,443,
446,452,456,461,465,470,477,478,492,495,639,640,667,741,742,776,777,795,820,
915],[1,2,4,5,6,7,8,10,15,16,17,19,20,22,24,25,26,30,32,33,35,37,38,41,43,46,
47,49,50,51,52,54,56,59,61,62,63,65,66,67,69,70,73,74,75,76,81,93,96,98,99,
105,120,121,128,133,136,137,144,146,147,151,154,163,166,167,168,170,172,175,
182,185,186,190,195,197,199,202,205,210,214,218,219,221,230,231,232,237,242,
243,247,249,250,258,265,268,272,275,279,328,355,359,366,371,380,381,383,384,
396,403,415,425,431,438,454,463,503,510,511,537,541,544,588,653,680,681,711,
753,916],[1,2,3,4,5,6,7,8,10,12,13,15,16,17,18,19,23,24,25,26,28,32,33,37,38,
40,43,45,49,52,56,59,61,62,63,64,65,66,67,72,79,81,90,92,93,95,96,98,110,111,
113,118,120,121,128,130,131,132,133,134,146,147,149,154,155,156,157,163,172,
173,177,179,181,182,195,200,208,209,218,219,230,231,239,247,253,259,320,328,
331,336,344,354,378,380,381,395,402,403,404,405,438,442,445,493,507,521,535,
575,638,653,668,702,715,917],[1,2,4,5,6,14,15,16,17,19,24,27,30,34,42,57,60,
71,76,77,91,94,97,98,117,138,142,143,161,166,178,180,183,190,222,270,271,324,
327,340,353,356,358,421,431,434,449,455,483,647,672,685,918],[1,2,4,5,6,14,15,
16,17,19,24,27,30,34,42,60,71,76,77,91,94,97,98,117,142,143,166,180,183,190,
222,270,271,324,327,340,353,356,421,431,434,449,485,486,647,660,685,919],[1,2,
4,5,6,7,8,15,16,17,19,21,24,25,26,36,37,38,39,44,49,52,53,61,93,96,98,101,106,
108,112,115,116,119,120,121,146,172,176,220,256,292,326,328,329,339,362,408,
440,517,559,580,636,714,772,822,920],[1,2,4,5,6,10,13,14,15,16,17,18,19,21,24,
27,32,33,34,36,39,40,42,43,44,45,53,56,60,71,77,90,91,94,97,98,101,106,111,
112,113,115,117,118,119,129,140,142,143,148,154,158,160,164,171,179,180,183,
189,193,207,211,222,223,229,236,244,245,257,271,273,284,285,323,327,329,331,
340,347,353,357,370,374,392,398,407,409,428,434,447,449,452,456,458,465,477,
480,487,516,529,564,578,632,637,647,776,782,808,809,810,816,921],[1,2,4,5,6,7,
8,14,15,16,17,19,24,25,26,27,34,37,38,42,48,49,52,61,77,79,81,91,93,94,96,97,
98,107,109,114,117,120,121,139,141,142,146,162,172,174,180,195,209,230,231,
239,259,327,328,330,341,369,375,376,380,395,402,403,438,474,493,634,653,668,
762,804,922],[1,2,4,5,6,7,8,13,14,15,16,17,18,19,21,24,25,26,27,34,37,38,39,
42,44,48,49,52,53,60,61,71,77,90,91,93,94,96,97,98,101,106,107,109,114,117,
120,121,129,139,140,141,142,143,146,148,158,160,162,164,171,172,174,180,183,
189,194,196,211,213,222,228,244,248,264,271,276,282,323,327,328,330,340,341,
353,357,369,370,375,376,385,392,397,411,414,428,434,443,449,451,452,470,474,
476,500,504,554,566,632,634,647,649,673,691,692,746,767,771,777,923],[1,2,3,4,
5,6,12,13,15,16,17,18,19,23,24,28,36,48,90,92,95,98,107,109,110,112,114,115,
119,206,274,292,320,329,330,343,364,478,495,517,559,580,640,805,813,822,924],[
1,2,4,5,6,9,10,14,15,16,17,19,24,27,29,30,32,33,34,36,40,42,43,45,55,56,57,68,
76,77,91,94,97,98,100,111,112,113,115,117,118,119,138,142,150,154,161,166,178,
179,180,184,190,193,223,240,262,266,269,270,290,295,324,325,327,329,331,347,
356,358,374,386,388,406,420,421,422,431,437,458,459,467,479,481,482,484,487,
489,494,637,650,685,739,754,769,781,791,817,925],[1,2,3,4,5,6,9,12,13,14,15,
16,17,18,19,21,23,24,27,28,29,30,34,39,42,44,53,55,57,68,76,77,90,91,92,94,95,
97,98,100,101,102,103,104,106,108,110,116,117,123,129,138,140,142,148,150,153,
158,160,161,164,166,169,171,176,178,180,184,189,190,191,211,233,234,240,244,
251,262,266,269,270,286,320,322,324,325,326,327,332,342,352,356,358,370,388,
394,399,417,418,421,422,424,426,431,446,452,461,462,467,481,484,488,489,491,
519,579,631,639,650,662,685,687,688,703,738,756,774,926],[1,2,3,4,5,6,9,12,13,
15,16,17,18,19,23,24,28,29,30,36,48,55,57,68,76,90,92,95,98,107,109,110,112,
114,115,119,123,138,150,166,190,206,217,233,234,246,251,263,266,269,274,278,
320,329,330,343,348,349,360,361,364,388,390,399,418,420,424,431,437,462,478,
479,490,494,495,548,562,640,648,651,656,666,669,689,703,747,754,778,927],[1,2,
4,5,6,7,8,9,10,13,14,17,18,19,25,26,27,29,30,34,36,37,40,42,43,44,45,48,49,53,
55,57,62,63,66,67,68,76,77,78,80,90,91,100,106,107,113,115,121,129,131,135,
138,139,141,142,148,150,155,156,157,160,162,166,174,184,188,189,190,193,204,
205,206,215,217,219,220,223,226,227,233,234,240,241,246,251,256,262,270,278,
283,286,290,295,325,343,348,349,356,359,365,370,378,386,390,391,399,408,420,
421,422,424,426,437,448,454,458,459,474,479,482,488,490,491,497,498,501,512,
519,542,546,556,569,572,574,579,665,666,688,708,723,738,739,743,747,750,783,
784,789,806,817,928],[1,2,4,5,9,13,18,19,29,36,48,55,68,76,90,107,115,150,190,
206,234,251,278,292,343,348,349,424,479,559,643,666,813,929],[1,2,4,5,6,7,8,9,
10,13,14,17,18,19,25,26,27,29,30,34,36,37,40,42,43,44,45,48,49,53,55,57,62,63,
66,67,68,76,77,90,91,106,107,113,115,121,129,131,138,139,141,142,145,148,150,
155,156,157,160,161,162,165,166,174,178,189,190,193,204,206,217,219,220,223,
226,227,233,234,240,246,251,256,262,263,265,283,295,324,343,345,355,358,360,
361,370,378,390,391,394,399,406,408,420,421,422,424,437,448,454,458,459,474,
482,488,490,491,494,498,501,512,567,569,570,584,585,662,669,684,704,707,723,
738,747,769,781,785,797,806,807,812,930],[1,4,5,6,8,9,13,14,16,21,25,27,34,38,
48,53,55,57,68,71,76,77,78,93,100,114,117,135,140,143,160,161,162,165,174,178,
184,217,234,240,246,248,262,263,266,270,276,278,283,286,323,340,341,411,443,
467,483,484,485,496,497,519,522,542,562,567,570,644,692,728,737,749,799,803,
931],[1,2,4,5,7,8,10,13,18,19,20,22,25,26,30,31,35,37,40,41,43,45,46,47,49,50,
51,54,57,58,62,63,66,67,69,70,73,74,75,79,81,90,99,105,113,121,124,131,136,
137,138,144,145,151,155,156,157,165,166,167,168,170,175,185,186,195,197,198,
202,209,212,219,224,225,230,231,232,235,239,254,259,265,272,275,277,280,334,
345,355,378,383,389,395,396,399,400,403,406,435,507,508,511,513,530,534,541,
551,553,575,582,583,641,684,699,702,711,717,732,932],[1,2,4,5,7,8,9,10,13,18,
19,20,22,25,26,29,31,35,37,40,41,43,45,46,47,49,50,51,54,55,58,62,63,66,67,68,
69,70,73,74,75,76,78,79,80,81,90,99,105,113,121,124,131,135,136,137,144,150,
151,155,156,157,167,168,170,175,185,186,188,190,195,197,198,202,205,209,212,
215,219,224,225,230,231,232,234,235,239,241,251,254,259,272,275,277,280,287,
288,289,290,291,293,294,296,297,334,359,365,378,383,386,389,395,396,400,403,
424,435,507,520,523,524,526,533,537,538,540,543,546,551,552,555,557,558,563,
574,575,576,582,588,641,665,702,753,757,786,787,829,830,835,836,933],[1,4,5,6,
7,9,14,15,16,18,26,27,39,42,44,48,52,53,55,57,68,71,76,77,80,96,97,100,114,
117,139,141,143,145,148,158,161,178,184,188,189,194,196,204,217,240,244,246,
251,262,263,266,269,270,278,286,340,357,376,385,414,450,455,467,481,483,484,
485,499,556,562,572,579,584,585,691,729,760,763,770,799,803,934],[1,2,3,4,5,6,
7,8,9,10,12,17,19,20,22,23,25,26,28,29,30,31,32,33,35,37,38,40,41,43,45,46,47,
49,50,51,52,54,55,56,58,59,61,62,63,64,65,66,67,68,69,70,72,73,74,75,78,79,80,
81,95,99,105,113,121,122,123,124,125,126,127,130,132,133,134,135,136,137,144,
146,149,150,151,154,166,167,168,170,173,175,177,181,185,186,188,195,197,198,
199,200,201,202,203,208,209,210,212,214,215,216,219,221,224,225,230,231,232,
233,235,237,238,239,241,242,243,249,250,252,253,254,255,258,259,260,261,265,
268,272,275,277,279,280,287,288,289,291,293,294,295,296,297,333,335,336,355,
365,379,383,395,396,401,403,415,442,462,482,505,506,510,511,514,520,521,523,
524,525,526,530,533,535,536,538,540,541,543,547,549,552,557,558,576,577,582,
583,587,589,657,711,715,730,732,786,787,825,831,832,834,935],[1,3,4,5,6,8,10,
14,15,16,18,21,23,24,25,27,28,32,33,34,36,38,39,42,44,45,48,53,59,60,66,67,71,
72,77,93,97,102,103,108,110,111,114,116,117,119,128,129,132,140,143,148,153,
155,158,159,162,163,164,169,174,176,177,180,181,183,189,191,192,193,206,207,
211,223,226,227,236,244,245,248,256,264,267,273,274,276,281,282,284,285,321,
337,339,341,350,352,353,354,357,385,392,397,398,407,409,411,416,417,423,439,
446,447,449,451,456,457,464,465,470,478,487,492,509,512,528,545,561,568,569,
571,573,633,671,673,690,731,734,742,746,752,755,775,795,810,811,816,936],[1,5,
6,7,16,26,36,39,42,44,52,71,79,96,108,119,143,158,194,196,209,220,292,321,362,
373,398,414,493,517,654,764,772,937],[1,4,5,6,7,9,13,14,16,21,26,27,34,48,52,
53,55,57,60,68,76,77,80,96,100,114,117,139,140,141,145,160,161,178,183,184,
188,204,213,217,228,234,240,246,262,263,266,270,278,286,323,353,376,450,467,
470,476,483,484,485,519,522,556,562,572,584,585,644,649,721,728,763,770,798,
938],[1,4,5,6,7,8,9,10,15,20,25,26,27,32,34,35,41,48,50,52,55,57,60,61,62,65,
68,69,74,78,79,80,81,94,109,120,135,139,144,145,162,165,178,182,184,186,188,
192,199,204,209,217,228,230,240,246,249,263,269,278,283,284,288,289,294,297,
366,367,369,402,410,438,441,471,472,489,508,513,533,540,542,548,567,572,585,
663,722,724,726,759,804,823,939],[1,4,5,6,7,16,21,24,26,34,36,39,44,52,53,60,
77,79,96,108,119,140,171,176,183,209,211,213,220,228,292,350,362,377,456,476,
493,517,677,764,772,940],[1,4,5,6,8,16,21,24,25,34,36,38,39,44,53,71,77,81,93,
108,119,140,143,171,176,211,230,248,256,276,292,339,373,377,380,411,477,517,
659,714,790,941],[1,2,3,4,5,6,7,8,9,10,12,14,17,19,23,25,26,27,28,29,30,36,37,
40,43,44,45,48,49,53,55,57,59,64,65,68,72,76,78,80,91,95,100,102,106,107,113,
115,121,123,132,133,134,135,138,139,141,149,150,162,166,174,184,188,190,191,
193,204,208,215,217,220,223,226,227,233,240,241,246,256,262,265,274,278,283,
286,290,295,322,324,325,336,348,355,361,364,365,386,390,391,394,406,408,418,
420,421,422,426,448,454,458,462,474,479,482,488,490,494,497,506,514,542,545,
556,565,572,573,586,631,656,657,698,707,708,716,750,769,774,778,784,785,797,
817,942],[1,4,5,6,8,9,14,15,16,18,25,27,38,39,42,44,48,53,55,57,60,68,76,77,
78,93,97,100,114,117,135,148,158,161,162,165,174,178,183,184,189,217,240,244,
246,251,262,263,264,266,269,270,278,282,283,286,341,353,357,397,451,455,467,
481,483,484,485,496,497,499,542,562,567,570,579,673,721,729,737,749,760,798,
943],[1,5,6,7,8,9,10,14,15,22,25,26,33,38,42,46,47,48,51,54,57,59,60,61,66,68,
69,78,79,80,81,97,100,109,120,128,135,141,145,151,161,165,170,174,188,192,204,
209,217,221,230,243,246,262,263,269,273,278,282,283,287,291,293,296,367,371,
375,402,410,430,438,439,441,481,497,524,534,548,552,553,556,570,584,683,720,
724,726,751,762,793,944],[1,2,3,4,5,6,7,8,9,10,12,14,17,19,23,25,26,27,28,29,
30,36,37,40,43,44,45,48,49,53,55,57,59,64,65,68,72,76,91,95,102,106,107,113,
115,121,123,132,133,134,138,139,141,145,149,150,161,162,165,166,174,178,190,
191,193,204,205,208,217,220,223,226,227,233,240,246,256,262,263,270,274,283,
286,290,322,336,345,349,356,358,359,360,364,386,390,391,394,406,408,418,421,
422,426,437,448,454,458,459,462,474,479,490,491,494,545,565,567,570,573,584,
585,586,664,687,689,698,704,716,739,743,774,778,781,783,789,807,812,945],[1,4,
5,6,7,10,15,27,32,34,36,45,47,52,56,58,60,62,65,74,75,76,94,112,118,182,192,
193,210,228,235,252,270,284,292,338,347,351,387,471,486,580,658,736,815,946],[
1,5,6,8,16,25,36,38,39,42,44,60,81,93,108,119,158,183,230,256,264,282,292,321,
339,350,380,451,465,517,671,714,790,947],[1,3,4,5,6,7,8,10,14,15,16,18,21,22,
23,24,25,26,28,31,32,33,35,36,38,39,40,41,42,44,45,46,47,48,49,50,51,52,54,56,
58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,77,93,97,102,103,109,110,
111,112,116,118,120,122,127,128,130,132,141,149,151,152,153,155,156,157,158,
159,163,164,168,170,172,174,177,179,181,182,183,185,186,189,192,194,197,198,
200,201,202,203,206,207,208,212,213,214,216,218,220,221,223,224,225,226,227,
229,232,235,237,238,242,243,245,247,248,249,250,252,253,254,255,256,258,260,
261,264,267,268,271,273,274,275,279,280,282,285,337,338,352,354,367,368,371,
374,375,382,387,400,405,409,412,413,425,430,433,436,439,440,444,445,451,453,
457,463,468,469,472,473,475,495,501,503,505,509,512,518,531,536,545,547,549,
551,554,564,565,571,581,587,645,683,690,701,705,709,712,713,719,744,745,780,
794,802,821,948],[1,3,4,5,6,8,10,13,14,15,16,18,21,23,24,25,27,28,32,33,34,36,
38,39,42,44,45,48,53,59,60,66,67,71,72,77,92,93,94,102,103,104,108,110,111,
114,116,117,119,128,129,132,140,143,148,152,153,155,158,160,162,163,164,169,
171,174,176,177,180,181,183,187,189,191,193,206,207,211,223,226,227,229,236,
244,248,256,257,264,267,274,276,281,282,284,285,323,339,340,341,342,346,354,
373,377,385,392,398,407,411,416,417,423,428,429,443,446,447,449,451,456,461,
464,468,470,477,478,480,487,492,502,512,528,545,561,568,569,571,573,642,659,
678,692,731,733,741,746,752,755,773,808,809,814,820,949],[1,2,3,4,5,6,9,12,17,
19,23,28,29,30,36,48,55,60,68,71,95,107,115,123,150,159,166,187,222,233,267,
274,278,292,348,361,364,419,420,462,559,656,748,805,950],[1,5,6,7,8,9,10,14,
15,20,25,26,32,35,41,42,48,50,52,57,61,62,65,68,69,71,74,78,79,80,81,97,100,
109,120,135,141,144,145,152,161,165,174,182,186,188,194,199,204,207,209,217,
230,246,249,262,263,269,278,283,288,289,294,297,363,366,375,382,402,410,438,
441,466,481,497,508,513,533,540,548,556,570,584,652,720,725,727,759,762,823,
951],[1,3,4,5,6,7,8,10,14,15,16,18,20,21,23,24,25,26,28,31,32,33,35,36,38,39,
40,41,42,44,45,46,47,48,49,50,51,52,54,56,58,59,60,61,62,63,64,65,66,67,69,70,
71,72,73,74,75,77,96,97,102,103,109,110,111,112,116,118,120,125,126,128,130,
132,141,143,144,147,149,151,152,153,155,156,157,158,164,167,172,173,174,175,
179,181,182,186,187,189,192,194,196,197,198,199,200,201,202,203,206,207,208,
210,212,213,214,216,218,220,221,223,224,226,227,229,232,235,236,237,238,242,
247,248,249,250,252,253,254,255,256,260,261,267,268,271,273,274,275,277,279,
280,282,285,344,346,351,352,363,366,372,374,375,382,384,387,393,405,412,413,
414,433,435,436,439,440,444,445,447,453,460,463,466,468,472,473,475,495,501,
512,515,525,531,536,544,545,550,551,554,564,565,571,577,581,587,589,646,652,
661,713,718,740,758,761,768,780,788,792,801,802,821,952],[1,2,3,4,5,6,7,8,10,
12,17,19,20,22,23,25,26,28,31,32,33,35,37,38,40,41,43,45,46,47,49,50,51,52,54,
56,57,58,59,61,62,63,64,65,66,67,69,70,72,73,74,75,76,79,81,95,99,105,113,121,
122,124,125,126,127,130,132,133,134,136,137,138,144,145,146,149,151,154,165,
167,168,170,173,175,177,181,185,186,190,195,197,198,199,200,201,202,203,205,
208,209,210,212,214,216,219,221,224,225,230,231,232,235,237,238,239,242,243,
249,250,252,253,254,255,258,259,260,261,268,272,275,277,279,280,333,335,336,
345,359,379,383,395,396,401,403,415,418,442,459,505,508,510,513,521,525,534,
535,536,537,547,549,553,555,563,577,582,587,588,589,664,699,715,717,730,753,
757,953],[1,4,5,6,7,8,9,10,15,22,25,26,27,33,34,38,46,47,48,51,54,55,57,59,61,
66,68,69,71,78,79,80,81,94,109,120,128,135,139,145,151,152,162,165,170,178,
184,188,204,209,217,221,230,240,243,246,257,263,269,276,278,283,287,291,293,
296,363,369,371,402,410,429,438,441,444,489,524,534,542,548,552,553,567,572,
585,670,722,725,727,751,793,804,954],[1,3,4,5,6,7,8,10,15,16,18,20,21,23,24,
25,26,27,28,31,32,33,34,35,36,38,39,40,41,44,45,46,47,48,49,50,51,52,53,54,56,
58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,77,94,96,104,109,110,111,
112,116,118,120,125,126,128,129,130,132,139,140,144,147,149,151,152,155,156,
157,159,162,167,169,171,172,173,175,179,181,182,183,186,191,192,193,196,197,
198,199,200,201,202,203,206,208,210,212,213,214,216,218,220,221,224,226,227,
228,232,235,236,237,238,242,245,247,249,250,252,253,254,255,256,257,260,261,
264,267,268,271,274,275,276,277,279,280,284,285,337,338,342,344,347,351,366,
367,369,384,387,393,405,407,412,413,429,430,435,436,440,445,453,457,460,463,
466,469,471,472,473,475,476,495,498,515,525,531,532,536,544,551,560,561,566,
569,573,577,578,586,587,589,658,663,679,695,701,709,718,719,735,758,761,779,
794,800,801,955],[1,5,6,7,10,14,15,32,36,42,45,47,52,56,57,58,62,65,71,74,75,
97,112,118,152,161,182,194,207,210,223,235,252,292,351,372,374,382,393,455,
580,661,818,819,956],[1,3,4,5,6,7,10,13,14,15,16,18,21,23,24,26,27,28,32,33,
34,36,39,42,44,45,48,52,53,60,62,63,64,65,71,77,92,94,96,102,103,104,108,110,
111,114,116,117,119,129,130,139,140,141,143,147,148,149,153,156,158,159,160,
164,169,171,173,176,180,182,183,189,191,192,193,194,196,206,211,213,220,223,
226,227,228,229,244,245,257,267,273,274,281,284,285,323,337,342,344,350,353,
362,376,377,392,397,407,409,414,416,417,423,428,443,446,449,456,461,464,465,
470,471,473,476,477,478,480,487,492,498,501,527,532,539,560,565,581,586,642,
649,677,679,696,706,733,766,767,775,795,808,811,816,820,957],[1,2,3,4,5,6,12,
17,19,23,28,36,48,57,60,71,76,95,107,115,138,159,187,190,222,263,267,274,292,
349,360,364,418,419,437,559,689,748,805,958],[1,3,4,5,6,7,10,14,15,16,18,21,
23,24,26,27,28,32,33,34,36,39,42,44,45,48,52,53,60,62,63,64,65,71,77,96,97,
102,103,108,110,111,114,116,117,119,129,130,139,140,141,143,147,148,149,152,
153,156,158,164,169,173,176,180,182,183,187,189,191,193,194,196,206,207,211,
213,220,223,226,227,228,229,236,244,245,257,267,273,274,281,321,340,344,346,
352,357,362,373,376,382,385,392,397,398,409,414,416,417,423,443,446,447,449,
460,464,465,476,477,478,480,487,492,498,501,527,532,539,550,565,581,586,633,
646,654,691,696,706,734,741,742,766,767,773,809,810,814,959],[1,4,5,6,8,10,15,
27,33,34,36,38,45,50,54,56,58,59,66,71,73,76,94,112,118,128,152,193,203,212,
257,258,270,276,292,347,368,372,429,433,486,580,686,736,815,960],[1,2,4,5,13,
18,19,30,36,48,57,90,107,115,138,166,206,263,292,343,360,361,399,494,559,643,
669,813,961],[1,3,4,5,6,7,8,10,15,16,18,21,22,23,24,25,26,27,28,31,32,33,34,
35,36,38,39,40,41,44,45,46,47,48,49,50,51,52,53,54,56,58,59,60,61,62,63,64,65,
66,67,69,70,71,72,73,74,75,77,93,94,104,109,110,111,112,116,118,120,122,127,
128,129,130,132,139,140,143,149,151,152,155,156,157,162,163,168,169,170,171,
172,177,179,181,182,185,186,187,191,192,193,196,197,198,200,201,202,203,206,
208,212,214,216,218,220,221,224,225,226,227,228,229,232,235,236,237,238,242,
243,245,247,248,249,250,252,253,254,255,256,257,258,260,261,264,267,268,271,
274,275,276,279,280,284,342,346,347,354,363,368,369,371,372,393,400,405,411,
412,413,425,429,430,433,436,440,444,445,453,457,460,463,466,468,469,471,475,
480,495,498,502,503,505,518,531,532,536,547,549,551,561,566,569,573,578,586,
587,670,678,686,695,705,712,735,740,744,745,768,779,788,792,800,962],[1,5,6,8,
10,14,15,33,36,38,42,45,50,54,56,57,58,59,60,66,73,97,112,118,128,161,192,203,
212,223,258,273,282,292,338,368,374,439,455,469,580,645,818,819,963],[1,5,6,
16,39,42,44,82,108,158,321,964],[1,2,3,7,8,10,12,37,43,64,72,79,81,82,134,195,
239,298,299,300,301,302,535,590,591,592,593,594,595,596,837,838,839,965],[1,4,
5,6,7,11,13,14,16,21,26,27,34,48,52,53,60,77,83,96,114,117,139,140,141,160,
183,213,228,303,305,306,323,353,376,470,476,599,608,649,840,966],[1,2,4,5,6,
11,13,14,15,16,17,18,19,21,24,27,34,39,42,44,53,77,85,90,91,94,97,98,101,106,
117,129,140,142,148,158,160,164,171,180,189,211,244,303,305,306,323,327,357,
370,392,428,452,597,602,605,632,840,967],[1,4,5,6,8,11,13,14,16,21,25,27,34,
38,48,53,71,77,84,93,114,117,140,143,160,162,174,248,276,303,305,306,323,340,
341,411,443,598,610,692,840,968],[1,2,4,5,7,8,10,11,13,18,19,20,22,25,26,31,
35,37,40,41,43,45,46,47,49,50,51,54,58,62,63,66,67,69,70,73,74,75,85,90,99,
105,113,121,124,131,136,137,144,151,155,156,157,167,168,170,175,185,186,197,
198,202,212,219,224,225,232,235,254,272,275,277,280,304,305,307,313,334,378,
383,389,396,400,435,551,582,601,605,606,622,641,841,969],[1,4,5,6,10,11,13,14,
16,21,27,32,33,34,36,45,53,60,71,77,87,111,117,119,140,143,160,183,193,223,
229,257,284,285,303,305,306,323,407,449,456,477,480,487,611,612,613,808,840,
970],[1,4,5,6,9,11,13,14,16,21,27,34,53,55,57,68,76,77,88,117,140,160,178,184,
234,262,266,270,286,303,305,306,323,484,485,519,522,609,628,728,840,971],[1,3,
4,5,6,11,13,14,15,16,18,21,23,24,27,28,34,39,42,44,53,77,89,92,94,102,103,104,
108,110,116,117,129,140,148,153,158,160,164,169,171,176,180,189,191,211,244,
303,305,306,323,342,377,392,417,428,446,461,464,600,604,607,626,642,840,972],[
1,2,4,5,11,13,18,19,36,48,85,90,107,115,206,305,343,605,643,973],[1,4,5,6,9,
11,13,14,16,21,27,34,53,57,68,77,86,100,117,140,160,161,240,266,303,305,306,
323,467,483,603,644,840,974],[1,3,4,6,7,8,10,11,13,20,22,24,28,31,32,33,35,38,
40,41,46,47,49,50,51,52,54,56,58,59,61,63,64,65,67,69,70,72,73,74,75,89,92,
122,125,126,127,131,147,163,167,168,172,173,175,177,179,185,199,201,203,208,
210,214,216,218,221,224,225,232,237,238,242,243,249,250,252,253,254,255,258,
260,261,268,275,277,279,304,305,307,313,334,389,404,503,515,518,544,547,549,
577,589,616,618,620,626,629,694,841,975],[1,4,7,8,9,10,11,13,20,22,31,40,47,
49,50,55,63,67,70,76,78,79,80,81,88,131,168,175,205,215,231,234,254,259,287,
289,290,291,294,304,305,307,313,334,507,538,546,555,557,588,614,625,628,829,
841,976],[1,2,4,5,9,10,11,14,19,27,29,30,36,40,43,45,55,68,76,85,86,87,91,100,
113,115,150,166,184,190,193,223,290,295,303,308,309,311,325,386,420,421,458,
479,482,597,603,611,619,817,843,846,848,977],[1,3,4,6,11,13,24,28,60,71,89,92,
159,187,271,281,305,427,626,693,978],[1,2,4,5,7,8,9,11,14,19,25,26,27,29,37,
48,49,55,57,68,78,80,83,84,85,86,88,91,100,107,121,135,138,139,141,150,162,
174,184,188,204,215,217,240,241,246,262,278,283,303,309,312,315,316,318,325,
348,365,390,391,422,474,497,542,556,572,597,598,599,603,609,623,708,844,845,
848,850,854,979],[1,2,4,5,7,8,11,14,19,25,26,27,30,37,48,49,76,83,84,85,91,
107,121,139,141,162,166,174,190,265,303,308,310,312,324,355,361,421,454,474,
490,597,598,599,624,707,842,843,845,980],[1,2,3,4,5,6,9,11,12,14,17,19,23,27,
28,29,30,44,53,55,57,68,76,85,88,89,91,95,102,106,123,138,150,166,190,191,233,
240,262,286,303,308,314,315,322,394,418,421,422,426,462,597,600,609,621,774,
843,844,847,981],[1,2,3,4,5,6,9,11,12,14,17,19,23,27,28,29,30,44,53,55,68,85,
86,89,91,95,100,102,106,123,150,166,184,191,233,303,309,310,314,322,324,325,
462,488,597,600,603,617,631,842,847,848,982],[1,2,4,5,9,10,11,14,19,27,29,30,
36,40,43,45,55,57,68,85,87,88,91,113,115,138,150,166,193,223,240,262,295,303,
310,311,315,324,406,420,422,458,482,494,597,609,611,627,769,842,844,846,983],[
1,2,3,4,5,6,7,8,10,11,12,14,17,19,23,25,26,27,28,36,37,40,43,44,45,48,49,53,
59,64,65,72,83,84,85,87,89,91,95,102,106,107,113,115,121,132,133,134,139,141,
149,162,174,191,193,208,220,223,226,227,256,274,303,311,312,314,317,319,322,
336,364,408,448,458,474,545,565,573,586,597,598,599,600,611,615,698,845,846,
847,862,865,984],[1,2,3,4,5,6,9,11,12,13,15,16,17,18,19,23,24,28,29,30,55,57,
68,76,85,88,89,90,92,95,98,110,123,138,150,166,190,233,234,251,266,269,305,
308,314,315,320,388,399,418,424,431,462,605,621,626,628,703,849,858,863,985],[
1,2,3,7,8,9,10,11,12,20,29,30,37,43,46,50,51,64,72,75,78,79,80,81,85,88,89,99,
123,125,134,136,195,239,241,255,265,289,293,294,295,296,307,308,314,315,333,
514,520,523,530,535,541,601,614,621,629,825,851,855,868,986],[1,2,3,4,5,6,7,8,
10,11,12,17,19,21,23,28,32,33,34,37,38,39,42,43,52,56,60,61,62,63,64,66,67,71,
72,77,83,84,85,87,89,95,101,103,104,130,134,142,146,153,154,159,169,173,177,
181,187,194,196,200,207,213,219,222,228,229,236,245,248,253,257,264,267,273,
276,282,284,285,306,311,312,314,317,319,332,419,442,500,502,504,509,516,529,
532,550,560,561,571,581,602,604,607,608,610,612,613,615,827,856,857,859,860,
861,864,866,987],[1,2,3,7,8,9,10,11,12,22,29,30,35,37,41,43,47,64,72,73,78,79,
80,81,85,88,89,105,122,123,134,137,195,239,241,260,265,287,288,291,295,297,
304,308,314,315,335,511,514,526,535,576,583,606,616,621,625,831,852,853,867,
988],[1,2,7,8,11,22,35,37,82,83,84,85,105,298,299,300,304,312,590,606,872,
989],[1,2,7,8,11,20,37,51,82,83,84,85,99,298,299,300,307,312,590,601,871,
990],[1,8,9,11,22,78,81,82,84,86,88,287,299,304,318,594,625,872,991],[1,3,8,
10,11,22,72,73,82,84,87,89,122,299,301,302,304,319,593,616,872,992],[1,7,9,11,
20,79,80,82,83,86,88,289,298,307,316,595,614,871,993],[1,3,7,10,11,20,64,75,
82,83,87,89,125,298,301,302,307,317,596,629,871,994],[1,3,7,10,11,31,64,74,82,
83,87,89,126,298,301,302,313,317,596,620,873,995],[1,2,10,11,31,43,58,82,85,
87,124,300,302,311,313,591,622,873,996],[1,3,8,10,11,31,54,72,82,84,87,89,127,
299,301,302,313,319,593,618,873,997],[1,2,3,4,5,6,9,12,13,14,15,16,17,18,19,
21,23,24,27,28,29,30,34,39,42,44,53,55,57,68,76,77,90,91,92,94,95,97,98,100,
101,102,103,104,106,108,110,116,117,123,129,138,140,142,148,150,153,158,160,
161,164,166,169,171,176,178,180,184,189,190,191,211,233,234,240,244,251,262,
266,269,270,286,320,321,322,323,324,325,326,327,332,342,352,356,357,358,370,
377,388,392,394,399,417,418,421,422,424,426,428,431,446,452,455,461,462,464,
467,481,483,484,485,486,488,489,491,499,519,522,579,630,631,632,633,639,642,
644,650,660,662,672,685,687,688,703,728,729,738,756,760,774,796,824,874,877,
878,902,909,914,926,998],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,21,23,24,
25,26,27,28,32,33,34,36,37,38,39,40,42,43,44,45,48,49,52,53,56,59,61,62,63,64,
65,66,67,72,77,90,91,92,93,94,95,96,97,98,101,102,103,104,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,128,129,130,131,132,133,134,139,
140,141,142,146,147,148,149,153,154,155,156,157,158,160,162,163,164,169,171,
172,173,174,176,177,179,180,181,182,189,191,193,200,206,208,211,218,219,220,
223,226,227,244,247,253,256,274,292,320,322,326,327,328,329,330,331,332,336,
339,341,342,343,344,347,352,354,362,364,369,370,374,375,376,378,381,404,405,
408,417,423,440,442,445,446,448,452,458,461,474,475,478,487,495,498,501,512,
517,545,559,565,569,573,580,586,634,635,636,637,638,639,640,696,698,714,723,
735,755,772,802,805,813,815,818,822,884,891,920,924,999],[1,2,3,4,5,6,7,8,10,
12,13,14,15,16,17,18,19,21,23,24,25,26,27,28,32,33,34,36,37,38,39,40,42,43,44,
45,48,49,52,53,56,57,59,61,62,63,64,65,66,67,72,76,77,90,91,92,93,94,95,96,97,
98,101,102,103,104,106,107,108,109,110,111,112,113,114,115,116,117,118,119,
120,121,128,129,130,131,132,133,134,138,139,140,141,142,146,147,148,149,153,
154,155,156,157,158,160,161,162,163,164,169,171,172,173,174,176,177,178,179,
180,181,182,189,190,191,193,200,206,208,211,218,219,220,223,226,227,244,247,
253,256,270,274,320,322,326,327,328,329,330,331,332,336,339,341,342,343,344,
347,352,354,356,358,362,364,369,370,374,375,376,378,381,404,405,408,417,418,
423,440,442,445,446,448,452,455,458,461,474,475,478,483,485,486,487,491,495,
498,499,501,512,522,545,565,569,573,586,634,635,636,637,638,639,640,660,672,
687,696,698,723,735,736,749,755,770,796,802,819,884,885,886,906,914,1000],[1,
2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,21,23,24,25,26,27,28,32,33,34,36,37,
38,39,40,42,43,44,45,48,49,52,53,56,59,60,61,62,63,64,65,66,67,71,72,77,90,91,
92,93,94,95,96,97,98,101,102,103,104,106,107,108,109,110,111,112,113,114,115,
116,117,118,119,120,121,128,129,130,131,132,133,134,139,140,141,142,143,146,
147,148,149,152,153,154,155,156,157,158,159,160,162,163,164,169,171,172,173,
174,176,177,179,180,181,182,183,187,189,191,192,193,200,206,208,211,218,219,
220,222,223,226,227,244,247,253,256,267,271,274,281,320,322,326,327,328,329,
330,331,332,336,337,339,341,342,343,344,346,347,352,354,362,364,369,370,374,
375,376,378,381,385,387,393,397,398,404,405,408,413,417,419,423,427,430,432,
433,434,440,442,443,444,445,446,448,452,456,458,461,465,466,469,470,472,474,
475,477,478,487,492,495,498,501,512,545,565,569,573,586,634,635,636,637,638,
639,640,643,667,696,697,698,701,710,723,735,741,742,745,748,755,758,768,776,
777,795,802,820,875,883,884,898,915,1001],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,56,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,
74,75,77,90,91,92,93,94,95,96,97,98,99,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,124,125,126,127,128,129,
130,131,132,133,134,136,137,139,140,141,142,143,144,146,147,148,149,151,152,
153,154,155,156,157,158,159,160,162,163,164,167,168,169,170,171,172,173,174,
175,176,177,179,180,181,182,183,185,186,187,189,191,192,193,194,196,197,198,
199,200,201,202,203,206,207,208,210,211,212,213,214,216,218,219,220,221,222,
223,224,225,226,227,228,229,232,235,236,237,238,242,243,244,245,247,248,249,
250,252,253,254,255,256,257,258,260,261,264,267,268,271,272,273,274,275,276,
277,279,280,281,282,284,285,320,322,326,327,328,329,330,331,332,333,334,335,
336,337,338,339,341,342,343,344,346,347,351,352,354,362,363,364,366,367,368,
369,370,371,372,374,375,376,378,379,381,382,383,384,387,389,393,396,400,401,
404,405,407,408,409,411,412,413,414,415,417,419,423,425,427,429,430,432,433,
434,435,436,439,440,442,444,445,446,447,448,451,452,453,457,458,460,461,463,
466,468,469,471,472,473,474,475,476,478,480,487,492,495,498,500,501,502,503,
504,505,509,510,512,515,516,518,525,527,528,529,531,532,536,539,544,545,547,
549,550,551,554,560,561,564,565,566,568,569,571,573,577,578,581,582,586,587,
589,634,635,636,637,638,639,640,641,645,646,652,655,658,661,663,667,670,674,
676,678,679,680,683,686,690,694,695,696,697,698,700,701,705,706,709,710,712,
713,718,719,723,730,731,735,740,744,745,755,758,761,765,768,771,779,780,782,
788,792,794,800,801,802,821,827,828,876,880,884,890,894,898,900,904,910,948,
952,955,962,1002],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,21,23,24,25,26,
27,28,32,33,34,36,37,38,39,40,42,43,44,45,48,49,52,53,56,59,60,61,62,63,64,65,
66,67,71,72,77,90,91,92,93,94,95,96,97,98,101,102,103,104,106,107,108,109,110,
111,112,113,114,115,116,117,118,119,120,121,128,129,130,131,132,133,134,139,
140,141,142,143,146,147,148,149,152,153,154,155,156,157,158,159,160,162,163,
164,169,171,172,173,174,176,177,179,180,181,182,183,187,189,191,192,193,194,
196,200,206,207,208,211,213,218,219,220,222,223,226,227,228,229,236,244,245,
247,248,253,256,257,264,267,271,273,274,276,281,282,284,285,320,321,322,323,
326,327,328,329,330,331,332,336,337,339,340,341,342,343,344,346,347,350,352,
353,354,357,362,364,369,370,373,374,375,376,377,378,381,382,385,392,397,398,
404,405,407,408,409,411,413,414,416,417,419,423,427,428,429,432,434,439,440,
442,443,445,446,447,448,449,451,452,456,457,458,460,461,464,465,468,470,471,
473,474,475,476,477,478,480,487,492,495,498,500,501,502,504,509,512,516,527,
528,529,532,539,545,550,554,560,561,564,565,566,568,569,571,573,578,581,586,
630,632,633,634,635,636,637,638,639,640,642,646,647,649,654,659,667,671,673,
677,678,679,682,690,691,692,696,698,700,706,723,731,733,734,735,741,742,746,
752,755,765,766,767,771,773,775,776,777,779,780,782,795,802,808,809,810,811,
814,816,820,827,828,874,882,884,904,908,912,915,921,923,936,949,957,959,
1003],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,21,23,24,25,26,27,28,29,
30,32,33,34,36,37,38,39,40,42,43,44,45,48,49,52,53,55,56,57,59,61,62,63,64,65,
66,67,68,72,76,77,78,80,90,91,92,93,94,95,96,97,98,100,101,102,103,104,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,123,128,129,130,
131,132,133,134,135,138,139,140,141,142,145,146,147,148,149,150,153,154,155,
156,157,158,160,161,162,163,164,165,166,169,171,172,173,174,176,177,178,179,
180,181,182,184,188,189,190,191,193,200,204,205,206,208,211,215,217,218,219,
220,223,226,227,233,234,240,241,244,246,247,251,253,256,262,263,265,266,269,
270,274,278,283,286,290,295,320,322,324,325,326,327,328,329,330,331,332,336,
339,341,342,343,344,345,347,348,349,352,354,355,356,358,359,360,361,362,364,
365,369,370,374,375,376,378,381,386,388,390,391,394,399,404,405,406,408,410,
417,418,420,421,422,423,424,426,431,437,440,441,442,445,446,448,450,452,454,
458,459,461,462,467,474,475,478,479,481,482,484,487,488,489,490,491,494,495,
496,497,498,501,506,512,514,519,542,545,546,548,556,562,565,567,569,570,572,
573,574,579,584,585,586,631,634,635,636,637,638,639,640,648,650,651,656,657,
662,664,665,666,669,675,681,684,685,687,688,689,696,698,703,704,707,708,716,
720,722,723,735,737,738,739,743,747,750,754,755,756,763,769,774,778,781,783,
784,785,789,791,797,802,806,807,812,817,881,884,887,892,899,911,925,926,927,
928,930,942,945,1004],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,21,23,24,25,
26,27,28,32,33,34,36,37,38,39,40,42,43,44,45,48,49,52,53,56,59,61,62,63,64,65,
66,67,72,77,79,81,90,91,92,93,94,95,96,97,98,101,102,103,104,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,128,129,130,131,132,133,134,
139,140,141,142,146,147,148,149,153,154,155,156,157,158,160,162,163,164,169,
171,172,173,174,176,177,179,180,181,182,189,191,193,195,200,206,208,209,211,
218,219,220,223,226,227,230,231,239,244,247,253,256,259,274,320,322,326,327,
328,329,330,331,332,336,339,341,342,343,344,347,352,354,362,364,369,370,374,
375,376,378,380,381,395,402,403,404,405,408,417,423,438,440,442,445,446,448,
452,458,461,474,475,478,487,493,495,498,501,507,512,521,535,545,565,569,573,
575,586,634,635,636,637,638,639,640,653,668,696,698,702,715,723,735,755,762,
764,790,802,804,884,888,889,917,922,1005],[1,2,3,4,5,6,9,12,13,15,16,17,18,19,
23,24,28,29,30,36,48,55,57,60,68,71,76,90,92,95,98,107,109,110,112,114,115,
119,123,138,143,150,152,159,166,183,187,190,192,206,217,222,233,234,246,251,
263,266,267,269,271,274,278,281,292,320,329,330,337,343,346,348,349,360,361,
364,388,390,399,413,418,419,420,424,427,431,432,434,437,462,478,479,490,492,
494,495,517,548,559,562,580,640,648,651,656,666,667,669,689,703,747,748,754,
778,805,813,822,883,924,927,950,958,1006],[1,2,4,5,6,7,8,9,10,14,15,16,17,19,
20,22,24,25,26,27,29,32,33,34,35,37,38,41,42,43,46,47,48,49,50,51,52,54,55,56,
57,59,60,61,62,63,65,66,67,68,69,70,71,73,74,75,77,78,79,80,81,91,93,94,96,97,
98,99,100,105,107,109,114,117,120,121,128,133,135,136,137,138,139,141,142,144,
145,146,147,150,151,152,154,161,162,163,165,167,168,170,172,174,175,178,180,
182,184,185,186,188,192,194,195,197,199,202,204,207,209,210,214,215,217,218,
219,221,222,228,230,231,232,237,239,240,241,242,243,246,247,249,250,257,258,
259,262,263,266,268,269,272,273,275,276,278,279,281,282,283,284,287,288,289,
291,293,294,296,297,325,327,328,330,341,345,348,358,360,363,365,366,367,369,
371,375,376,380,381,382,383,384,388,390,391,395,396,402,403,410,412,415,422,
425,429,430,432,438,439,441,444,450,463,466,467,471,472,474,481,484,489,493,
496,497,500,503,508,510,513,516,520,523,524,526,533,534,538,539,540,542,543,
544,548,552,553,556,557,558,562,567,568,570,572,576,584,585,634,650,651,652,
653,663,668,670,674,675,680,683,699,700,704,708,710,717,720,722,724,725,726,
727,737,751,759,762,763,786,787,793,800,804,821,823,826,833,881,893,894,896,
897,903,922,939,944,951,954,1007],[1,2,4,5,6,7,8,10,14,15,16,17,19,24,27,31,
32,33,34,36,37,38,40,41,42,43,45,46,47,50,52,54,56,57,58,59,60,61,62,63,65,66,
67,69,70,71,73,74,75,77,91,94,97,98,111,112,113,115,117,118,119,124,128,133,
136,137,138,142,146,147,152,154,161,163,178,179,180,182,192,193,194,198,201,
203,207,210,212,214,218,219,221,222,223,224,225,228,235,237,238,247,249,250,
252,254,257,258,272,273,276,277,279,280,281,282,284,292,327,329,331,338,347,
351,358,368,372,374,381,382,387,393,401,429,432,433,436,439,453,455,458,469,
471,483,487,500,510,515,516,517,518,531,539,559,568,580,582,637,645,655,658,
661,672,676,686,695,697,700,713,815,818,819,822,885,891,900,956,963,1008],[1,
2,4,5,6,7,8,9,10,15,16,17,19,20,21,22,24,25,26,29,30,32,33,35,36,37,38,39,41,
43,44,46,47,49,50,51,52,53,54,55,56,57,59,60,61,62,63,65,66,67,68,69,70,71,73,
74,75,76,78,79,80,93,96,98,99,101,105,106,108,112,115,116,119,120,121,128,133,
135,136,137,138,144,145,146,147,150,151,152,154,163,165,166,167,168,170,172,
175,176,182,185,186,188,190,192,196,197,199,202,204,205,209,210,213,214,215,
218,219,220,221,222,229,232,233,236,237,239,241,242,243,245,247,248,249,250,
256,258,259,264,265,266,268,269,272,275,279,281,283,285,286,288,289,291,293,
326,328,329,339,345,355,359,362,363,365,366,367,371,381,383,384,387,388,391,
393,394,395,396,402,408,410,412,415,420,425,426,431,432,433,437,440,441,450,
454,457,460,463,468,469,473,479,488,491,493,494,496,503,504,508,510,523,527,
528,529,530,533,544,552,553,555,557,558,563,576,583,636,668,674,675,680,681,
697,699,712,718,719,724,725,732,743,750,754,756,757,759,764,765,786,788,793,
797,812,833,888,890,896,897,899,907,913,1009],[1,2,3,4,5,6,7,8,9,10,12,13,15,
16,17,18,19,23,24,25,26,28,29,30,32,33,37,38,40,43,45,49,52,55,56,57,59,60,61,
62,63,64,65,66,67,68,71,72,76,78,79,80,81,90,92,93,95,96,98,110,111,113,118,
120,121,123,128,130,131,132,133,134,135,138,143,145,146,147,149,150,152,154,
155,156,157,159,163,165,166,172,173,177,179,181,182,183,187,188,190,192,195,
200,204,205,208,209,215,218,219,222,230,231,233,234,239,241,247,251,253,259,
265,266,267,269,271,281,283,290,295,320,328,331,336,337,338,344,345,346,354,
355,359,363,365,367,372,378,380,381,386,388,391,395,399,402,403,404,405,406,
410,412,413,418,419,424,427,431,432,434,438,441,442,445,450,453,454,459,462,
482,492,493,496,506,507,514,521,535,546,574,575,638,653,657,664,665,667,668,
674,675,676,681,684,702,703,709,715,716,724,725,726,727,791,792,806,880,893,
896,901,911,913,917,1010],[1,2,3,4,5,6,9,12,13,14,15,16,17,18,19,21,23,24,27,
28,29,30,34,39,42,44,53,55,57,60,68,71,76,77,90,91,92,94,95,97,98,100,101,102,
103,104,106,108,110,116,117,123,129,138,140,142,143,148,150,152,153,158,159,
160,161,164,166,169,171,176,178,180,183,184,187,189,190,191,192,211,222,233,
234,240,244,251,262,266,267,269,270,271,281,286,320,322,324,325,326,327,332,
337,340,342,346,350,352,353,356,358,370,373,388,394,399,413,416,417,418,419,
421,422,424,426,427,431,432,434,446,449,452,455,461,462,467,481,483,484,485,
486,488,489,491,492,499,519,522,579,631,639,647,650,660,662,667,672,682,685,
687,688,703,721,738,756,774,796,798,799,803,811,814,882,895,905,914,918,919,
926,1011],[1,2,4,5,6,7,8,15,16,17,19,21,24,25,26,34,36,37,38,39,42,44,49,52,
53,60,61,71,77,81,93,96,98,101,106,108,112,115,116,119,120,121,140,142,143,
146,158,164,171,172,176,183,194,195,196,211,213,220,222,228,230,231,244,248,
256,264,271,276,282,292,321,326,328,329,339,350,362,373,377,380,398,403,408,
411,414,416,434,438,440,451,452,456,464,465,476,477,500,504,517,554,559,566,
580,630,636,653,654,659,671,677,682,714,752,766,771,772,776,790,822,889,908,
920,941,947,1012],[1,2,4,5,6,7,8,15,16,17,19,21,24,25,26,34,36,37,38,39,42,44,
49,52,53,60,61,71,77,79,93,96,98,101,106,108,112,115,116,119,120,121,140,142,
143,146,158,164,171,172,176,183,194,196,209,211,213,220,222,228,239,244,248,
256,259,264,271,276,282,292,321,326,328,329,339,350,362,373,377,395,398,402,
408,411,414,416,434,440,451,452,456,464,465,476,477,493,500,504,517,554,559,
566,580,630,636,654,659,668,671,677,682,714,752,764,766,771,772,776,822,888,
908,920,937,940,1013],[1,2,3,4,5,6,9,12,13,15,16,17,18,19,23,24,28,29,30,36,
48,55,57,68,76,90,92,95,98,107,109,110,112,114,115,119,123,138,150,166,190,
206,217,233,234,246,251,263,266,269,274,278,292,320,329,330,343,348,349,360,
361,364,388,390,399,418,420,424,431,437,462,478,479,490,494,495,517,548,559,
562,580,640,643,648,651,656,666,669,689,703,747,754,778,805,813,822,875,924,
927,929,961,1014],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,20,22,23,24,25,
26,28,29,30,31,32,33,35,37,38,40,41,43,45,46,47,49,50,51,52,54,55,56,57,58,59,
61,62,63,64,65,66,67,68,69,70,72,73,74,75,76,78,79,80,81,90,92,93,95,96,98,99,
105,110,111,113,118,120,121,122,123,124,125,126,127,128,130,131,132,133,134,
135,136,137,138,144,145,146,147,149,150,151,154,155,156,157,163,165,166,167,
168,170,172,173,175,177,179,181,182,185,186,188,190,195,197,198,199,200,201,
202,203,204,205,208,209,210,212,214,215,216,218,219,221,224,225,230,231,232,
233,234,235,237,238,239,241,242,243,247,249,250,251,252,253,254,255,258,259,
260,261,265,266,268,269,272,275,277,279,280,283,287,288,289,290,291,293,294,
295,296,297,320,328,331,333,334,335,336,344,345,351,354,355,359,365,366,368,
371,378,379,380,381,383,384,386,388,389,391,395,396,399,400,401,402,403,404,
405,406,410,415,418,424,425,431,435,436,438,441,442,445,450,454,459,462,463,
482,493,496,503,505,506,507,508,510,511,513,514,515,518,520,521,523,524,525,
526,530,531,533,534,535,536,537,538,540,541,543,544,546,547,549,551,552,553,
555,557,558,563,574,575,576,577,582,583,587,588,589,638,641,653,655,657,664,
665,668,675,680,681,684,694,699,702,703,705,711,715,716,717,730,732,751,753,
757,759,786,787,791,793,801,806,823,825,826,829,830,831,832,833,834,835,836,
876,897,903,907,911,916,917,932,933,935,953,1015],[1,2,3,4,5,6,7,8,10,12,13,
14,15,16,17,18,19,21,23,24,25,26,27,28,32,33,34,36,37,38,39,40,42,43,44,45,48,
49,52,53,56,59,60,61,62,63,64,65,66,67,71,72,77,90,91,92,93,94,95,96,97,98,
101,102,103,104,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,
121,128,129,130,131,132,133,134,140,142,143,146,147,148,149,152,153,154,155,
156,157,158,159,160,163,164,169,171,172,173,176,177,179,180,181,182,183,187,
189,191,192,194,196,200,206,207,208,211,213,218,219,222,228,229,236,244,245,
247,248,253,257,264,267,271,273,274,276,281,282,284,285,320,322,326,327,328,
329,330,331,332,336,337,338,340,342,343,344,346,350,352,353,354,363,364,367,
370,372,373,378,381,382,385,387,393,397,398,404,405,407,409,411,412,413,414,
416,417,419,427,429,430,432,433,434,439,442,443,444,445,446,447,449,451,452,
453,456,457,460,461,465,466,468,469,470,471,472,473,476,477,478,480,492,495,
500,502,504,509,516,527,528,529,532,539,550,554,560,561,564,566,568,571,578,
581,638,639,640,646,647,667,674,676,678,679,682,690,693,697,700,701,706,709,
710,731,741,742,745,748,758,765,768,771,776,777,779,780,782,792,795,811,814,
820,827,828,879,880,882,883,898,904,915,1016],[1,2,4,5,6,9,10,13,14,15,16,17,
18,19,21,24,27,29,30,32,33,34,36,39,40,42,43,44,45,53,55,56,57,60,68,71,76,77,
90,91,94,97,98,100,101,106,111,112,113,115,117,118,119,129,138,140,142,143,
148,150,154,158,160,161,164,166,171,178,179,180,183,184,189,190,193,207,211,
222,223,229,234,236,240,244,245,251,257,262,266,269,270,271,273,284,285,286,
290,295,323,324,325,327,329,331,340,347,353,356,357,358,370,374,386,388,392,
398,406,407,409,420,421,422,424,426,428,431,434,437,447,449,452,456,458,459,
465,467,477,479,480,481,482,484,485,486,487,489,494,499,516,519,522,529,564,
578,579,632,637,647,650,660,685,688,721,728,729,736,739,754,769,776,781,782,
791,796,803,808,809,810,816,817,824,877,886,895,902,919,921,925,1017],[1,2,4,
5,6,7,8,10,14,15,16,17,19,24,27,31,32,33,34,36,37,38,40,41,42,43,45,46,47,50,
52,54,56,58,59,60,61,62,63,65,66,67,69,70,71,73,74,75,76,77,91,94,97,98,111,
112,113,115,117,118,119,124,128,133,136,137,142,146,147,152,154,163,179,180,
182,190,192,193,194,198,201,203,207,210,212,214,218,219,221,222,223,224,225,
228,235,237,238,247,249,250,252,254,257,258,270,272,273,276,277,279,280,281,
282,284,292,327,329,331,338,347,351,356,368,372,374,381,382,387,393,401,429,
432,433,436,439,453,458,469,471,485,486,487,500,510,515,516,517,518,531,539,
559,568,580,582,637,645,655,658,660,661,676,686,695,697,700,713,736,815,818,
822,886,891,900,946,960,1018],[1,2,4,5,6,7,8,10,14,15,16,17,19,20,22,24,25,26,
27,30,32,33,34,35,37,38,41,42,43,46,47,48,49,50,51,52,54,56,59,60,61,62,63,65,
66,67,69,70,71,73,74,75,76,77,79,81,91,93,94,96,97,98,99,105,107,109,114,117,
120,121,128,133,136,137,139,141,142,144,146,147,151,152,154,162,163,166,167,
168,170,172,174,175,180,182,185,186,190,192,194,195,197,199,202,205,207,209,
210,214,218,219,221,222,228,230,231,232,237,239,242,243,247,249,250,257,258,
259,265,268,270,272,273,275,276,279,281,282,284,324,327,328,330,341,349,355,
356,359,361,363,366,367,369,371,375,376,380,381,382,383,384,395,396,402,403,
412,415,421,425,429,430,431,432,438,439,444,454,463,466,471,472,474,490,493,
500,503,510,511,516,530,537,539,541,544,555,563,568,583,588,634,648,652,653,
663,668,670,674,680,681,683,685,700,707,710,711,732,753,757,762,783,800,804,
821,887,894,901,907,913,916,922,1019],[1,2,4,5,6,7,8,9,10,15,16,17,19,20,21,
22,24,25,26,29,30,32,33,35,36,37,38,39,41,43,44,46,47,49,50,51,52,53,54,55,56,
57,59,60,61,62,63,65,66,67,68,69,70,71,73,74,75,76,78,80,81,93,96,98,99,101,
105,106,108,112,115,116,119,120,121,128,133,135,136,137,138,144,145,146,147,
150,151,152,154,163,165,166,167,168,170,172,175,176,182,185,186,188,190,192,
195,196,197,199,202,204,205,210,213,214,215,218,219,220,221,222,229,230,231,
232,233,236,237,241,242,243,245,247,248,249,250,256,258,264,265,266,268,269,
272,275,279,281,283,285,286,287,294,296,297,326,328,329,339,345,355,359,362,
363,365,366,367,371,380,381,383,384,387,388,391,393,394,396,403,408,410,412,
415,420,425,426,431,432,433,437,438,440,441,450,454,457,460,463,468,469,473,
479,488,491,494,496,503,504,510,511,513,520,524,526,527,528,529,534,537,538,
540,541,543,544,588,636,653,674,675,680,681,697,711,712,717,718,719,726,727,
743,750,751,753,754,756,765,787,788,790,797,812,823,826,889,890,893,899,901,
903,916,1020],[1,2,4,5,6,7,8,9,13,14,15,16,17,18,19,21,24,25,26,27,29,34,37,
38,39,42,44,48,49,52,53,55,57,60,61,68,71,76,77,78,80,90,91,93,94,96,97,98,
100,101,106,107,109,114,117,120,121,129,135,138,139,140,141,142,143,145,146,
148,150,158,160,161,162,164,165,171,172,174,178,180,183,184,188,189,190,194,
196,204,211,213,215,217,222,228,234,240,241,244,246,248,251,262,263,264,266,
269,270,271,276,278,282,283,286,323,325,327,328,330,340,341,345,348,353,356,
357,358,360,365,369,370,375,376,385,388,390,391,392,397,410,411,414,422,424,
426,428,434,441,443,449,450,451,452,455,467,470,474,476,481,483,484,485,486,
489,496,497,499,500,504,519,522,542,548,554,556,562,566,567,570,572,579,584,
585,632,634,644,647,649,650,651,660,672,673,675,688,691,692,704,708,720,721,
722,728,729,737,746,749,760,763,767,770,771,777,796,798,799,803,824,878,881,
895,902,905,906,923,931,934,938,943,1021],[1,2,4,5,6,7,8,13,14,15,16,17,18,19,
21,24,25,26,27,30,34,37,38,39,42,44,48,49,52,53,57,60,61,71,76,77,90,91,93,94,
96,97,98,101,106,107,109,114,117,120,121,129,138,139,140,141,142,143,146,148,
158,160,161,162,164,166,171,172,174,178,180,183,189,190,194,196,205,211,213,
222,228,244,248,264,265,270,271,276,282,323,324,327,328,330,340,341,349,353,
355,356,357,358,359,361,369,370,375,376,385,392,394,397,399,411,414,421,428,
431,434,443,449,451,452,454,455,470,474,476,483,485,486,490,499,500,504,522,
554,566,632,634,647,648,649,660,662,672,673,681,685,691,692,707,746,749,767,
770,771,777,783,796,877,887,906,909,918,919,923,1022],[1,2,4,5,6,9,10,13,14,
15,16,17,18,19,21,24,27,29,30,32,33,34,36,39,40,42,43,44,45,53,55,56,57,60,68,
71,76,77,90,91,94,97,98,100,101,106,111,112,113,115,117,118,119,129,138,140,
142,143,148,150,154,158,160,161,164,166,171,178,179,180,183,184,189,190,193,
207,211,222,223,229,236,240,244,245,257,262,266,269,270,271,273,284,285,290,
295,323,324,325,327,329,331,340,347,353,356,357,358,370,374,386,388,392,394,
398,399,406,407,409,420,421,422,428,431,434,437,447,449,452,455,456,458,459,
465,467,477,479,480,481,482,483,484,487,489,494,499,516,522,529,564,578,632,
637,644,647,650,662,672,685,739,754,760,769,776,781,782,791,796,798,799,808,
809,810,816,817,819,878,885,905,909,918,921,925,1023],[1,2,4,5,6,15,16,17,19,
21,24,34,39,42,44,53,77,82,98,101,106,108,116,140,142,158,164,171,176,211,244,
300,321,326,377,452,464,630,964,1024],[1,5,6,7,16,26,36,39,42,44,52,71,82,96,
108,119,143,158,194,196,220,298,321,362,373,398,414,654,964,1025],[1,5,6,8,16,
25,36,38,39,42,44,60,82,93,108,119,158,183,256,264,282,299,321,339,350,451,
465,671,964,1026],[1,3,4,5,6,14,15,16,18,21,23,24,27,28,34,39,42,44,53,77,82,
97,102,103,108,110,116,117,129,140,148,153,158,164,169,176,180,189,191,211,
244,301,321,352,357,392,417,446,464,633,964,1027],[1,5,6,10,16,32,33,39,42,44,
45,48,60,71,82,108,111,114,143,158,183,207,226,227,236,245,273,302,321,385,
397,409,416,423,447,734,964,1028],[1,2,4,5,6,9,11,13,14,15,16,17,18,19,21,24,
27,29,34,39,42,44,53,55,57,68,76,77,85,88,90,91,94,97,98,100,101,106,117,129,
138,140,142,148,150,158,160,161,164,171,178,180,184,189,190,211,234,240,244,
251,262,266,269,270,286,303,305,306,315,323,325,327,356,357,358,370,388,392,
422,424,426,428,452,467,481,484,485,486,489,499,519,522,579,597,602,605,609,
628,632,650,660,688,728,729,796,824,840,844,849,902,967,971,1029],[1,2,4,5,6,
11,13,14,15,16,17,18,19,21,24,27,30,34,39,42,44,53,76,77,85,90,91,94,97,98,
101,106,117,129,140,142,148,158,160,164,166,171,180,189,190,211,244,270,303,
305,306,310,323,324,327,356,357,370,392,421,428,431,452,485,486,597,602,605,
632,660,685,840,842,877,967,1030],[1,2,4,5,6,11,13,14,15,16,17,18,19,21,24,27,
30,34,39,42,44,53,57,76,77,85,90,91,94,97,98,101,106,117,129,138,140,142,148,
158,160,161,164,166,171,178,180,189,190,211,244,270,303,305,306,308,323,324,
327,356,357,358,370,392,394,399,421,428,431,452,455,483,499,522,597,602,605,
632,662,672,685,796,840,843,858,909,967,1031],[1,2,4,5,6,7,8,11,13,14,15,16,
17,18,19,21,24,25,26,27,34,37,38,39,42,44,48,49,52,53,60,61,71,77,83,84,85,90,
91,93,94,96,97,98,101,106,107,109,114,117,120,121,129,139,140,141,142,143,146,
148,158,160,162,164,171,172,174,180,183,189,194,196,211,213,222,228,244,248,
264,271,276,282,303,305,306,312,323,327,328,330,340,341,353,357,369,370,375,
376,385,392,397,411,414,428,434,443,449,451,452,470,474,476,500,504,554,566,
597,598,599,602,605,608,610,632,634,647,649,673,691,692,746,767,771,777,840,
845,866,923,966,967,968,1032],[1,2,3,4,5,6,11,12,13,14,15,16,17,18,19,21,23,
24,27,28,34,39,42,44,53,77,85,89,90,91,92,94,95,97,98,101,102,103,104,106,108,
110,116,117,129,140,142,148,153,158,160,164,169,171,176,180,189,191,211,244,
303,305,306,314,320,321,322,323,326,327,332,342,352,357,370,377,392,417,428,
446,452,461,464,597,600,602,604,605,607,626,630,632,633,639,642,840,847,856,
863,874,967,972,1033],[1,2,4,5,6,9,11,13,14,15,16,17,18,19,21,24,27,29,34,39,
42,44,53,55,57,68,77,85,86,90,91,94,97,98,100,101,106,117,129,138,140,142,148,
150,158,160,161,164,171,178,180,184,189,211,240,244,262,266,269,303,305,306,
309,323,325,327,357,358,370,388,392,422,428,452,455,467,481,483,484,489,597,
602,603,605,632,644,650,672,760,840,848,878,967,974,1034],[1,2,4,5,6,10,11,13,
14,15,16,17,18,19,21,24,27,32,33,34,36,39,40,42,43,44,45,53,56,60,71,77,85,87,
90,91,94,97,98,101,106,111,112,113,115,117,118,119,129,140,142,143,148,154,
158,160,164,171,179,180,183,189,193,207,211,222,223,229,236,244,245,257,271,
273,284,285,303,305,306,311,323,327,329,331,340,347,353,357,370,374,392,398,
407,409,428,434,447,449,452,456,458,465,477,480,487,516,529,564,578,597,602,
605,611,612,613,632,637,647,776,782,808,809,810,816,840,846,859,921,967,970,
1035],[1,3,4,5,6,7,10,11,13,14,15,16,18,21,23,24,26,27,28,32,33,34,36,39,42,
44,45,48,52,53,60,62,63,64,65,71,77,83,87,89,92,94,96,102,103,104,108,110,111,
114,116,117,119,129,130,139,140,141,143,147,148,149,153,156,158,159,160,164,
169,171,173,176,180,182,183,189,191,192,193,194,196,206,211,213,220,223,226,
227,228,229,244,245,257,267,273,274,281,284,285,303,305,306,317,323,337,342,
344,350,353,362,376,377,392,397,407,409,414,416,417,423,428,443,446,449,456,
461,464,465,470,471,473,476,477,478,480,487,492,498,501,527,532,539,560,565,
581,586,599,600,604,607,608,611,612,613,626,642,649,677,679,696,706,733,766,
767,775,795,808,811,816,820,840,860,862,864,957,966,970,972,1036],[1,2,4,5,7,
8,9,10,11,13,18,19,20,22,25,26,29,31,35,37,40,41,43,45,46,47,49,50,51,54,55,
58,62,63,66,67,68,69,70,73,74,75,76,78,79,80,81,85,88,90,99,105,113,121,124,
131,135,136,137,144,150,151,155,156,157,167,168,170,175,185,186,188,190,195,
197,198,202,205,209,212,215,219,224,225,230,231,232,234,235,239,241,251,254,
259,272,275,277,280,287,288,289,290,291,293,294,296,297,304,305,307,313,315,
334,359,365,378,383,386,389,395,396,400,403,424,435,507,520,523,524,526,533,
537,538,540,543,546,551,552,555,557,558,563,574,575,576,582,588,601,605,606,
614,622,625,628,641,665,702,753,757,786,787,829,830,835,836,841,849,852,855,
933,969,976,1037],[1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,19,20,22,23,24,25,
26,28,31,32,33,35,37,38,40,41,43,45,46,47,49,50,51,52,54,56,58,59,61,62,63,64,
65,66,67,69,70,72,73,74,75,85,89,90,92,93,95,96,98,99,105,110,111,113,118,120,
121,122,124,125,126,127,128,130,131,132,133,134,136,137,144,146,147,149,151,
154,155,156,157,163,167,168,170,172,173,175,177,179,181,182,185,186,197,198,
199,200,201,202,203,208,210,212,214,216,218,219,221,224,225,232,235,237,238,
242,243,247,249,250,252,253,254,255,258,260,261,268,272,275,277,279,280,304,
305,307,313,314,320,328,331,333,334,335,336,344,351,354,366,368,371,378,379,
381,383,384,389,396,400,401,404,405,415,425,435,436,442,445,463,503,505,510,
515,518,525,531,536,544,547,549,551,577,582,587,589,601,605,606,616,618,620,
622,626,629,638,641,655,680,694,705,730,801,841,853,863,868,869,876,969,975,
1038],[1,2,4,5,11,13,18,19,30,36,48,57,85,90,107,115,138,166,206,263,292,305,
308,343,360,361,399,494,559,605,643,669,813,858,961,973,1039],[1,2,4,5,7,8,10,
11,13,18,19,20,22,25,26,30,31,35,37,40,41,43,45,46,47,49,50,51,54,57,58,62,63,
66,67,69,70,73,74,75,79,81,85,90,99,105,113,121,124,131,136,137,138,144,145,
151,155,156,157,165,166,167,168,170,175,185,186,195,197,198,202,209,212,219,
224,225,230,231,232,235,239,254,259,265,272,275,277,280,304,305,307,308,313,
334,345,355,378,383,389,395,396,399,400,403,406,435,507,508,511,513,530,534,
541,551,553,575,582,583,601,605,606,622,641,684,699,702,711,717,732,841,851,
858,867,932,969,1040],[1,4,5,6,7,9,11,13,14,16,21,26,27,34,48,52,53,55,57,60,
68,76,77,80,83,86,88,96,100,114,117,139,140,141,145,160,161,178,183,184,188,
204,213,217,228,234,240,246,262,263,266,270,278,286,303,305,306,316,323,353,
376,450,467,470,476,483,484,485,519,522,556,562,572,584,585,599,603,608,609,
628,644,649,721,728,763,770,798,840,850,938,966,971,974,1041],[1,4,5,6,8,9,11,
13,14,16,21,25,27,34,38,48,53,55,57,68,71,76,77,78,84,86,88,93,100,114,117,
135,140,143,160,161,162,165,174,178,184,217,234,240,246,248,262,263,266,270,
276,278,283,286,303,305,306,318,323,340,341,411,443,467,483,484,485,496,497,
519,522,542,562,567,570,598,603,609,610,628,644,692,728,737,749,799,803,840,
854,931,968,971,974,1042],[1,3,4,5,6,8,10,11,13,14,15,16,18,21,23,24,25,27,28,
32,33,34,36,38,39,42,44,45,48,53,59,60,66,67,71,72,77,84,87,89,92,93,94,102,
103,104,108,110,111,114,116,117,119,128,129,132,140,143,148,152,153,155,158,
160,162,163,164,169,171,174,176,177,180,181,183,187,189,191,193,206,207,211,
223,226,227,229,236,244,248,256,257,264,267,274,276,281,282,284,285,303,305,
306,319,323,339,340,341,342,346,354,373,377,385,392,398,407,411,416,417,423,
428,429,443,446,447,449,451,456,461,464,468,470,477,478,480,487,492,502,512,
528,545,561,568,569,571,573,598,600,604,607,610,611,612,613,626,642,659,678,
692,731,733,741,746,752,755,773,808,809,814,820,840,857,861,865,949,968,970,
972,1043],[1,2,4,5,9,11,13,18,19,29,36,48,55,68,76,85,88,90,107,115,150,190,
206,234,251,278,292,305,315,343,348,349,424,479,559,605,628,643,666,813,849,
929,973,1044],[1,2,3,4,5,6,11,12,13,15,16,17,18,19,23,24,28,36,48,85,89,90,92,
95,98,107,109,110,112,114,115,119,206,274,305,314,320,329,330,343,364,478,495,
605,626,640,643,863,875,973,1045],[1,2,3,4,5,6,7,8,9,10,11,12,14,17,19,23,25,
26,27,28,29,30,36,37,40,43,44,45,48,49,53,55,57,59,64,65,68,72,76,78,80,83,84,
85,86,87,88,89,91,95,100,102,106,107,113,115,121,123,132,133,134,135,138,139,
141,149,150,162,166,174,184,188,190,191,193,204,208,215,217,220,223,226,227,
233,240,241,246,256,262,265,274,278,283,286,290,295,303,308,309,310,311,312,
314,315,316,317,318,319,322,324,325,336,348,355,361,364,365,386,390,391,394,
406,408,418,420,421,422,426,448,454,458,462,474,479,482,488,490,494,497,506,
514,542,545,556,565,572,573,586,597,598,599,600,603,609,611,615,617,619,621,
623,624,627,631,656,657,698,707,708,716,750,769,774,778,784,785,797,817,842,
843,844,845,846,847,848,850,854,862,865,870,942,977,979,980,981,982,983,984,
1046],[1,2,3,4,5,6,11,12,13,15,16,17,18,19,23,24,28,60,71,85,89,90,92,95,98,
110,143,152,159,183,187,192,222,267,271,281,305,314,320,337,346,413,419,427,
432,434,492,605,626,667,693,863,879,978,1047],[1,2,3,7,8,10,11,12,22,35,37,41,
43,47,64,72,73,82,83,84,85,87,89,105,122,134,137,260,298,299,300,301,302,304,
311,312,314,317,319,335,590,591,592,593,596,606,615,616,839,853,872,989,992,
1048],[1,2,7,8,11,22,30,35,37,79,82,83,84,85,105,239,265,298,299,300,304,308,
310,312,583,590,595,606,624,837,867,872,989,1049],[1,2,7,8,9,11,20,29,37,51,
78,79,80,82,83,84,85,86,88,99,239,241,289,293,298,299,300,307,309,312,315,316,
318,523,590,595,601,614,623,837,855,871,990,993,1050],[1,2,3,7,8,10,11,12,20,
37,43,46,50,51,64,72,75,82,83,84,85,87,89,99,125,134,136,255,298,299,300,301,
302,307,311,312,314,317,319,333,590,591,592,593,596,601,615,629,839,868,871,
990,994,1051],[1,2,7,8,11,20,30,37,51,81,82,83,84,85,99,195,265,298,299,300,
307,308,310,312,541,590,594,601,624,838,851,871,990,1052],[1,2,7,8,9,11,22,29,
35,37,78,80,81,82,83,84,85,86,88,105,195,241,287,297,298,299,300,304,309,312,
315,316,318,526,590,594,606,623,625,838,852,872,989,991,1053],[1,2,3,7,8,10,
11,12,31,37,43,54,58,64,69,70,72,74,82,83,84,85,87,89,124,126,127,134,216,261,
272,298,299,300,301,302,311,312,313,314,317,319,379,590,591,592,593,596,615,
618,620,622,839,869,873,995,996,997,1054],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,
45,46,47,48,49,50,51,52,53,54,56,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,
74,75,77,90,91,92,93,94,95,96,97,98,99,101,102,103,104,105,106,107,108,109,
110,111,112,113,114,115,116,117,118,119,120,121,122,124,125,126,127,128,129,
130,131,132,133,134,136,137,139,140,141,142,143,144,146,147,148,149,151,152,
153,154,155,156,157,158,159,160,162,163,164,167,168,169,170,171,172,173,174,
175,176,177,179,180,181,182,183,185,186,187,189,191,192,193,194,196,197,198,
199,200,201,202,203,206,207,208,210,211,212,213,214,216,218,219,220,221,222,
223,224,225,226,227,228,229,232,235,236,237,238,242,243,244,245,247,248,249,
250,252,253,254,255,256,257,258,260,261,264,267,268,271,272,273,274,275,276,
277,279,280,281,282,284,285,320,321,322,323,326,327,328,329,330,331,332,333,
334,335,336,337,338,339,340,341,342,343,344,346,347,350,351,352,353,354,357,
362,363,364,366,367,368,369,370,371,372,373,374,375,376,377,378,379,381,382,
383,384,385,387,389,392,393,396,397,398,400,401,404,405,407,408,409,411,412,
413,414,415,416,417,419,423,425,427,428,429,430,432,433,434,435,436,439,440,
442,443,444,445,446,447,448,449,451,452,453,456,457,458,460,461,463,464,465,
466,468,469,470,471,472,473,474,475,476,477,478,480,487,492,495,498,500,501,
502,503,504,505,509,510,512,515,516,518,525,527,528,529,531,532,536,539,544,
545,547,549,550,551,554,560,561,564,565,566,568,569,571,573,577,578,581,582,
586,587,589,630,632,633,634,635,636,637,638,639,640,641,642,643,645,646,647,
649,652,654,655,658,659,661,663,667,670,671,673,674,676,677,678,679,680,682,
683,686,690,691,692,693,694,695,696,697,698,700,701,705,706,709,710,712,713,
718,719,723,730,731,733,734,735,740,741,742,744,745,746,748,752,755,758,761,
765,766,767,768,771,773,775,776,777,779,780,782,788,792,794,795,800,801,802,
808,809,810,811,814,816,820,821,827,828,874,875,876,879,880,882,883,884,890,
894,898,900,904,908,910,912,915,921,923,936,948,949,952,955,957,959,962,1001,
1002,1003,1016,1055],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,21,23,24,25,
26,27,28,32,33,34,36,37,38,39,40,42,43,44,45,48,49,52,53,56,57,59,60,61,62,63,
64,65,66,67,71,72,76,77,79,81,90,91,92,93,94,95,96,97,98,101,102,103,104,106,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,128,129,130,131,
132,133,134,138,139,140,141,142,143,146,147,148,149,152,153,154,155,156,157,
158,159,160,161,162,163,164,169,171,172,173,174,176,177,178,179,180,181,182,
183,187,189,190,191,192,193,195,200,206,208,209,211,218,219,220,222,223,226,
227,230,231,239,244,247,253,256,259,267,270,271,274,281,320,322,326,327,328,
329,330,331,332,336,337,339,341,342,343,344,346,347,352,354,356,358,362,364,
369,370,374,375,376,378,380,381,385,387,393,395,397,398,402,403,404,405,408,
413,417,418,419,423,427,430,432,433,434,438,440,442,443,444,445,446,448,452,
455,456,458,461,465,466,469,470,472,474,475,477,478,483,485,486,487,491,492,
493,495,498,499,501,507,512,521,522,535,545,565,569,573,575,586,634,635,636,
637,638,639,640,643,653,660,667,668,672,687,696,697,698,701,702,710,715,723,
735,736,741,742,745,748,749,755,758,762,764,768,770,776,777,790,795,796,802,
804,819,820,875,883,884,885,886,888,889,898,906,914,915,917,922,1000,1001,
1005,1056],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
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,
79,80,81,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
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,
280,281,282,283,284,285,286,287,288,289,290,291,293,294,295,296,297,320,322,
324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,341,342,343,
344,345,346,347,348,349,351,352,354,355,356,358,359,360,361,362,363,364,365,
366,367,368,369,370,371,372,374,375,376,378,379,380,381,382,383,384,386,387,
388,389,390,391,393,394,395,396,399,400,401,402,403,404,405,406,407,408,409,
410,411,412,413,414,415,417,418,419,420,421,422,423,424,425,426,427,429,430,
431,432,433,434,435,436,437,438,439,440,441,442,444,445,446,447,448,450,451,
452,453,454,457,458,459,460,461,462,463,466,467,468,469,471,472,473,474,475,
476,478,479,480,481,482,484,487,488,489,490,491,492,493,494,495,496,497,498,
500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,518,519,
520,521,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,
540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,
560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,
579,581,582,583,584,585,586,587,588,589,631,634,635,636,637,638,639,640,641,
645,646,648,650,651,652,653,655,656,657,658,661,662,663,664,665,666,667,668,
669,670,674,675,676,678,679,680,681,683,684,685,686,687,688,689,690,694,695,
696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,715,
716,717,718,719,720,722,723,724,725,726,727,730,731,732,735,737,738,739,740,
743,744,745,747,750,751,753,754,755,756,757,758,759,761,762,763,764,765,768,
769,771,774,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,
794,797,800,801,802,804,806,807,812,817,821,823,825,826,827,828,829,830,831,
832,833,834,835,836,876,880,881,884,887,888,889,890,892,893,894,896,897,898,
899,900,901,903,904,907,910,911,913,916,917,922,925,926,927,928,930,932,933,
935,939,942,944,945,948,951,952,953,954,955,962,1002,1004,1005,1007,1009,1010,
1015,1019,1020,1057],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,56,57,58,59,60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,76,77,90,91,
92,93,94,95,96,97,98,99,101,102,103,104,105,106,107,108,109,110,111,112,113,
114,115,116,117,118,119,120,121,122,124,125,126,127,128,129,130,131,132,133,
134,136,137,138,139,140,141,142,143,144,146,147,148,149,151,152,153,154,155,
156,157,158,159,160,161,162,163,164,167,168,169,170,171,172,173,174,175,176,
177,178,179,180,181,182,183,185,186,187,189,190,191,192,193,194,196,197,198,
199,200,201,202,203,206,207,208,210,211,212,213,214,216,218,219,220,221,222,
223,224,225,226,227,228,229,232,235,236,237,238,242,243,244,245,247,248,249,
250,252,253,254,255,256,257,258,260,261,264,267,268,270,271,272,273,274,275,
276,277,279,280,281,282,284,285,292,320,322,326,327,328,329,330,331,332,333,
334,335,336,337,338,339,341,342,343,344,346,347,351,352,354,356,358,362,363,
364,366,367,368,369,370,371,372,374,375,376,378,379,381,382,383,384,387,389,
393,396,400,401,404,405,407,408,409,411,412,413,414,415,417,418,419,423,425,
427,429,430,432,433,434,435,436,439,440,442,444,445,446,447,448,451,452,453,
455,457,458,460,461,463,466,468,469,471,472,473,474,475,476,478,480,483,485,
486,487,491,492,495,498,499,500,501,502,503,504,505,509,510,512,515,516,517,
518,522,525,527,528,529,531,532,536,539,544,545,547,549,550,551,554,559,560,
561,564,565,566,568,569,571,573,577,578,580,581,582,586,587,589,634,635,636,
637,638,639,640,641,645,646,652,655,658,660,661,663,667,670,672,674,676,678,
679,680,683,686,687,690,694,695,696,697,698,700,701,705,706,709,710,712,713,
714,718,719,723,730,731,735,736,740,744,745,749,755,758,761,765,768,770,771,
772,779,780,782,788,792,794,796,800,801,802,805,813,815,818,819,821,822,827,
828,876,880,884,885,886,890,891,894,898,900,904,906,910,914,920,924,946,948,
952,955,956,960,962,963,999,1000,1002,1008,1018,1058],[1,2,3,4,5,6,7,8,9,10,
12,13,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,32,33,34,36,37,38,39,40,42,
43,44,45,48,49,52,53,55,56,57,59,60,61,62,63,64,65,66,67,68,71,72,76,77,78,80,
90,91,92,93,94,95,96,97,98,100,101,102,103,104,106,107,108,109,110,111,112,
113,114,115,116,117,118,119,120,121,123,128,129,130,131,132,133,134,135,138,
139,140,141,142,143,145,146,147,148,149,150,152,153,154,155,156,157,158,159,
160,161,162,163,164,165,166,169,171,172,173,174,176,177,178,179,180,181,182,
183,184,187,188,189,190,191,192,193,194,196,200,204,205,206,207,208,211,213,
215,217,218,219,220,222,223,226,227,228,229,233,234,236,240,241,244,245,246,
247,248,251,253,256,257,262,263,264,265,266,267,269,270,271,273,274,276,278,
281,282,283,284,285,286,290,295,320,321,322,323,324,325,326,327,328,329,330,
331,332,336,337,339,340,341,342,343,344,345,346,347,348,349,350,352,353,354,
355,356,357,358,359,360,361,362,364,365,369,370,373,374,375,376,377,378,381,
382,385,386,388,390,391,392,394,397,398,399,404,405,406,407,408,409,410,411,
413,414,416,417,418,419,420,421,422,423,424,426,427,428,429,431,432,434,437,
439,440,441,442,443,445,446,447,448,449,450,451,452,454,455,456,457,458,459,
460,461,462,464,465,467,468,470,471,473,474,475,476,477,478,479,480,481,482,
483,484,485,486,487,488,489,490,491,492,494,495,496,497,498,499,500,501,502,
504,506,509,512,514,516,519,522,527,528,529,532,539,542,545,546,548,550,554,
556,560,561,562,564,565,566,567,568,569,570,571,572,573,574,578,579,581,584,
585,586,630,631,632,633,634,635,636,637,638,639,640,642,644,646,647,648,649,
650,651,654,656,657,659,660,662,664,665,666,667,669,671,672,673,675,677,678,
679,681,682,684,685,687,688,689,690,691,692,696,698,700,703,704,706,707,708,
716,720,721,722,723,728,729,731,733,734,735,736,737,738,739,741,742,743,746,
747,749,750,752,754,755,756,760,763,765,766,767,769,770,771,773,774,775,776,
777,778,779,780,781,782,783,784,785,789,791,795,796,797,798,799,802,803,806,
807,808,809,810,811,812,814,816,817,819,820,824,827,828,874,877,878,881,882,
884,885,886,887,892,895,899,902,904,905,906,908,909,911,912,914,915,918,919,
921,923,925,926,927,928,930,931,934,936,938,942,943,945,949,957,959,998,1000,
1003,1004,1011,1017,1021,1022,1023,1059],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,
17,18,19,21,23,24,25,26,27,28,32,33,34,36,37,38,39,40,42,43,44,45,48,49,52,53,
56,59,60,61,62,63,64,65,66,67,71,72,77,79,81,90,91,92,93,94,95,96,97,98,101,
102,103,104,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
128,129,130,131,132,133,134,139,140,141,142,143,146,147,148,149,152,153,154,
155,156,157,158,159,160,162,163,164,169,171,172,173,174,176,177,179,180,181,
182,183,187,189,191,192,193,194,195,196,200,206,207,208,209,211,213,218,219,
220,222,223,226,227,228,229,230,231,236,239,244,245,247,248,253,256,257,259,
264,267,271,273,274,276,281,282,284,285,292,320,321,322,323,326,327,328,329,
330,331,332,336,337,339,340,341,342,343,344,346,347,350,352,353,354,357,362,
364,369,370,373,374,375,376,377,378,380,381,382,385,392,395,397,398,402,403,
404,405,407,408,409,411,413,414,416,417,419,423,427,428,429,432,434,438,439,
440,442,443,445,446,447,448,449,451,452,456,457,458,460,461,464,465,468,470,
471,473,474,475,476,477,478,480,487,492,493,495,498,500,501,502,504,507,509,
512,516,517,521,527,528,529,532,535,539,545,550,554,559,560,561,564,565,566,
568,569,571,573,575,578,580,581,586,630,632,633,634,635,636,637,638,639,640,
642,646,647,649,653,654,659,667,668,671,673,677,678,679,682,690,691,692,696,
698,700,702,706,714,715,723,731,733,734,735,741,742,746,752,755,762,764,765,
766,767,771,772,773,775,776,777,779,780,782,790,795,802,804,805,808,809,810,
811,813,814,815,816,818,820,822,827,828,874,882,884,888,889,891,904,908,912,
915,917,920,921,922,923,924,936,937,940,941,947,949,957,959,999,1003,1005,
1012,1013,1060],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,21,23,24,25,26,
27,28,29,30,32,33,34,36,37,38,39,40,42,43,44,45,48,49,52,53,55,56,57,59,60,61,
62,63,64,65,66,67,68,71,72,76,77,78,80,90,91,92,93,94,95,96,97,98,100,101,102,
103,104,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,123,
128,129,130,131,132,133,134,135,138,139,140,141,142,143,145,146,147,148,149,
150,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,169,171,172,
173,174,176,177,178,179,180,181,182,183,184,187,188,189,190,191,192,193,200,
204,205,206,208,211,215,217,218,219,220,222,223,226,227,233,234,240,241,244,
246,247,251,253,256,262,263,265,266,267,269,270,271,274,278,281,283,286,290,
292,295,320,322,324,325,326,327,328,329,330,331,332,336,337,339,341,342,343,
344,345,346,347,348,349,352,354,355,356,358,359,360,361,362,364,365,369,370,
374,375,376,378,381,385,386,387,388,390,391,393,394,397,398,399,404,405,406,
408,410,413,417,418,419,420,421,422,423,424,426,427,430,431,432,433,434,437,
440,441,442,443,444,445,446,448,450,452,454,456,458,459,461,462,465,466,467,
469,470,472,474,475,477,478,479,481,482,484,487,488,489,490,491,492,494,495,
496,497,498,501,506,512,514,517,519,542,545,546,548,556,559,562,565,567,569,
570,572,573,574,579,580,584,585,586,631,634,635,636,637,638,639,640,643,648,
650,651,656,657,662,664,665,666,667,669,675,681,684,685,687,688,689,696,697,
698,701,703,704,707,708,710,714,716,720,722,723,735,737,738,739,741,742,743,
745,747,748,750,754,755,756,758,763,768,769,772,774,776,777,778,781,783,784,
785,789,791,795,797,802,805,806,807,812,813,815,817,818,820,822,875,881,883,
884,887,891,892,898,899,911,915,920,924,925,926,927,928,929,930,942,945,950,
958,961,999,1001,1004,1006,1014,1061],[1,2,4,5,6,7,8,15,16,17,19,21,24,25,26,
34,36,37,38,39,42,44,49,52,53,60,61,71,77,82,93,96,98,101,106,108,112,115,116,
119,120,121,140,142,143,146,158,164,171,172,176,183,194,196,211,213,220,222,
228,244,248,256,264,271,276,282,298,299,300,321,326,328,329,339,350,362,373,
377,398,408,411,414,416,434,440,451,452,456,464,465,476,477,500,504,554,566,
590,630,636,654,659,671,677,682,752,766,771,776,908,964,1024,1025,1026,1062],[
1,2,4,5,6,10,15,16,17,19,21,24,32,33,34,39,40,42,43,44,45,48,53,56,60,71,77,
82,98,101,106,107,108,109,111,113,114,116,118,140,142,143,154,158,164,171,176,
179,183,207,211,222,226,227,229,236,244,245,257,271,273,284,285,300,302,321,
326,330,331,350,373,377,385,397,407,409,416,423,434,443,447,448,452,464,470,
475,480,516,529,564,578,591,630,635,682,733,734,773,775,777,782,912,964,1024,
1028,1063],[1,2,3,4,5,6,12,13,14,15,16,17,18,19,21,23,24,27,28,34,39,42,44,53,
77,82,90,91,92,94,95,97,98,101,102,103,104,106,108,110,116,117,129,140,142,
148,153,158,160,164,169,171,176,180,189,191,211,244,300,301,320,321,322,323,
326,327,332,342,352,357,370,377,392,417,428,446,452,461,464,592,630,632,633,
639,642,874,964,1024,1027,1064],[1,3,4,5,6,7,10,14,15,16,18,21,23,24,26,27,28,
32,33,34,36,39,42,44,45,48,52,53,60,62,63,64,65,71,77,82,96,97,102,103,108,
110,111,114,116,117,119,129,130,139,140,141,143,147,148,149,152,153,156,158,
164,169,173,176,180,182,183,187,189,191,193,194,196,206,207,211,213,220,223,
226,227,228,229,236,244,245,257,267,273,274,281,298,301,302,321,340,344,346,
352,357,362,373,376,382,385,392,397,398,409,414,416,417,423,443,446,447,449,
460,464,465,476,477,478,480,487,492,498,501,527,532,539,550,565,581,586,596,
633,646,654,691,696,706,734,741,742,766,767,773,809,810,814,959,964,1025,1027,
1028,1065],[1,3,4,5,6,8,10,14,15,16,18,21,23,24,25,27,28,32,33,34,36,38,39,42,
44,45,48,53,59,60,66,67,71,72,77,82,93,97,102,103,108,110,111,114,116,117,119,
128,129,132,140,143,148,153,155,158,159,162,163,164,169,174,176,177,180,181,
183,189,191,192,193,206,207,211,223,226,227,236,244,245,248,256,264,267,273,
274,276,281,282,284,285,299,301,302,321,337,339,341,350,352,353,354,357,385,
392,397,398,407,409,411,416,417,423,439,446,447,449,451,456,457,464,465,470,
478,487,492,509,512,528,545,561,568,569,571,573,593,633,671,673,690,731,734,
742,746,752,755,775,795,810,811,816,936,964,1026,1027,1028,1066],[1,5,6,8,16,
25,36,38,39,42,44,60,81,82,93,108,119,158,183,230,256,264,282,292,299,321,339,
350,380,451,465,517,594,671,714,790,947,964,1026,1067],[1,5,6,7,16,26,36,39,
42,44,52,71,79,82,96,108,119,143,158,194,196,209,220,292,298,321,362,373,398,
414,493,517,595,654,764,772,937,964,1025,1068],[1,2,3,4,5,6,9,11,12,13,14,15,
16,17,18,19,21,23,24,27,28,29,30,34,39,42,44,53,55,57,68,76,77,85,88,89,90,91,
92,94,95,97,98,100,101,102,103,104,106,108,110,116,117,123,129,138,140,142,
148,150,153,158,160,161,164,166,169,171,176,178,180,184,189,190,191,211,233,
234,240,244,251,262,266,269,270,286,303,305,306,308,314,315,320,321,322,323,
324,325,326,327,332,342,352,356,357,358,370,377,388,392,394,399,417,418,421,
422,424,426,428,431,446,452,455,461,462,464,467,481,483,484,485,486,488,489,
491,499,519,522,579,597,600,602,604,605,607,609,621,626,628,630,631,632,633,
639,642,644,650,660,662,672,685,687,688,703,728,729,738,756,760,774,796,824,
840,843,844,847,849,856,858,863,874,877,878,902,909,914,926,967,971,972,981,
985,998,1029,1031,1033,1069],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,
21,23,24,25,26,27,28,32,33,34,36,37,38,39,40,42,43,44,45,48,49,52,53,56,59,60,
61,62,63,64,65,66,67,71,72,77,83,84,85,87,89,90,91,92,93,94,95,96,97,98,101,
102,103,104,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,
128,129,130,131,132,133,134,139,140,141,142,143,146,147,148,149,152,153,154,
155,156,157,158,159,160,162,163,164,169,171,172,173,174,176,177,179,180,181,
182,183,187,189,191,192,193,194,196,200,206,207,208,211,213,218,219,220,222,
223,226,227,228,229,236,244,245,247,248,253,256,257,264,267,271,273,274,276,
281,282,284,285,303,305,306,311,312,314,317,319,320,321,322,323,326,327,328,
329,330,331,332,336,337,339,340,341,342,343,344,346,347,350,352,353,354,357,
362,364,369,370,373,374,375,376,377,378,381,382,385,392,397,398,404,405,407,
408,409,411,413,414,416,417,419,423,427,428,429,432,434,439,440,442,443,445,
446,447,448,449,451,452,456,457,458,460,461,464,465,468,470,471,473,474,475,
476,477,478,480,487,492,495,498,500,501,502,504,509,512,516,527,528,529,532,
539,545,550,554,560,561,564,565,566,568,569,571,573,578,581,586,597,598,599,
600,602,604,605,607,608,610,611,612,613,615,626,630,632,633,634,635,636,637,
638,639,640,642,646,647,649,654,659,667,671,673,677,678,679,682,690,691,692,
696,698,700,706,723,731,733,734,735,741,742,746,752,755,765,766,767,771,773,
775,776,777,779,780,782,795,802,808,809,810,811,814,816,820,827,828,840,845,
846,847,856,857,859,860,861,862,863,864,865,866,874,882,884,904,908,912,915,
921,923,936,949,957,959,966,967,968,970,972,984,987,1003,1032,1033,1035,1036,
1043,1070],[1,2,4,5,6,7,8,11,13,14,15,16,17,18,19,21,24,25,26,27,30,34,37,38,
39,42,44,48,49,52,53,57,60,61,71,76,77,83,84,85,90,91,93,94,96,97,98,101,106,
107,109,114,117,120,121,129,138,139,140,141,142,143,146,148,158,160,161,162,
164,166,171,172,174,178,180,183,189,190,194,196,205,211,213,222,228,244,248,
264,265,270,271,276,282,303,305,306,308,310,312,323,324,327,328,330,340,341,
349,353,355,356,357,358,359,361,369,370,375,376,385,392,394,397,399,411,414,
421,428,431,434,443,449,451,452,454,455,470,474,476,483,485,486,490,499,500,
504,522,554,566,597,598,599,602,605,608,610,624,632,634,647,648,649,660,662,
672,673,681,685,691,692,707,746,749,767,770,771,777,783,796,840,842,843,845,
858,866,877,887,906,909,918,919,923,966,967,968,980,1022,1030,1031,1032,
1071],[1,2,3,4,5,6,9,11,12,13,14,15,16,17,18,19,21,23,24,27,28,29,30,34,39,42,
44,53,55,57,68,76,77,85,86,89,90,91,92,94,95,97,98,100,101,102,103,104,106,
108,110,116,117,123,129,138,140,142,148,150,153,158,160,161,164,166,169,171,
176,178,180,184,189,190,191,211,233,234,240,244,251,262,266,269,270,286,303,
305,306,309,310,314,320,321,322,323,324,325,326,327,332,342,352,356,357,358,
370,377,388,392,394,399,417,418,421,422,424,426,428,431,446,452,455,461,462,
464,467,481,483,484,485,486,488,489,491,499,519,522,579,597,600,602,603,604,
605,607,617,626,630,631,632,633,639,642,644,650,660,662,672,685,687,688,703,
728,729,738,756,760,774,796,824,840,842,847,848,856,863,874,877,878,902,909,
914,926,967,972,974,982,998,1030,1033,1034,1072],[1,2,4,5,6,7,8,9,11,13,14,15,
16,17,18,19,21,24,25,26,27,29,34,37,38,39,42,44,48,49,52,53,55,57,60,61,68,71,
76,77,78,80,83,84,85,86,88,90,91,93,94,96,97,98,100,101,106,107,109,114,117,
120,121,129,135,138,139,140,141,142,143,145,146,148,150,158,160,161,162,164,
165,171,172,174,178,180,183,184,188,189,190,194,196,204,211,213,215,217,222,
228,234,240,241,244,246,248,251,262,263,264,266,269,270,271,276,278,282,283,
286,303,305,306,309,312,315,316,318,323,325,327,328,330,340,341,345,348,353,
356,357,358,360,365,369,370,375,376,385,388,390,391,392,397,410,411,414,422,
424,426,428,434,441,443,449,450,451,452,455,467,470,474,476,481,483,484,485,
486,489,496,497,499,500,504,519,522,542,548,554,556,562,566,567,570,572,579,
584,585,597,598,599,602,603,605,608,609,610,623,628,632,634,644,647,649,650,
651,660,672,673,675,688,691,692,704,708,720,721,722,728,729,737,746,749,760,
763,767,770,771,777,796,798,799,803,824,840,844,845,848,849,850,854,866,878,
881,895,902,905,906,923,931,934,938,943,966,967,968,971,974,979,1021,1029,
1032,1034,1041,1042,1073],[1,2,4,5,6,9,10,11,13,14,15,16,17,18,19,21,24,27,29,
30,32,33,34,36,39,40,42,43,44,45,53,55,56,57,60,68,71,76,77,85,86,87,90,91,94,
97,98,100,101,106,111,112,113,115,117,118,119,129,138,140,142,143,148,150,154,
158,160,161,164,166,171,178,179,180,183,184,189,190,193,207,211,222,223,229,
236,240,244,245,257,262,266,269,270,271,273,284,285,290,295,303,305,306,308,
309,311,323,324,325,327,329,331,340,347,353,356,357,358,370,374,386,388,392,
394,398,399,406,407,409,420,421,422,428,431,434,437,447,449,452,455,456,458,
459,465,467,477,479,480,481,482,483,484,487,489,494,499,516,522,529,564,578,
597,602,603,605,611,612,613,619,632,637,644,647,650,662,672,685,739,754,760,
769,776,781,782,791,796,798,799,808,809,810,816,817,819,840,843,846,848,858,
859,878,885,905,909,918,921,925,967,970,974,977,1023,1031,1034,1035,1074],[1,
2,4,5,6,9,10,11,13,14,15,16,17,18,19,21,24,27,29,30,32,33,34,36,39,40,42,43,
44,45,53,55,56,57,60,68,71,76,77,85,87,88,90,91,94,97,98,100,101,106,111,112,
113,115,117,118,119,129,138,140,142,143,148,150,154,158,160,161,164,166,171,
178,179,180,183,184,189,190,193,207,211,222,223,229,234,236,240,244,245,251,
257,262,266,269,270,271,273,284,285,286,290,295,303,305,306,310,311,315,323,
324,325,327,329,331,340,347,353,356,357,358,370,374,386,388,392,398,406,407,
409,420,421,422,424,426,428,431,434,437,447,449,452,456,458,459,465,467,477,
479,480,481,482,484,485,486,487,489,494,499,516,519,522,529,564,578,579,597,
602,605,609,611,612,613,627,628,632,637,647,650,660,685,688,721,728,729,736,
739,754,769,776,781,782,791,796,803,808,809,810,816,817,824,840,842,844,846,
849,859,877,886,895,902,919,921,925,967,970,971,983,1017,1029,1030,1035,
1075],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,17,18,19,20,22,23,24,25,26,28,29,
30,31,32,33,35,37,38,40,41,43,45,46,47,49,50,51,52,54,55,56,57,58,59,61,62,63,
64,65,66,67,68,69,70,72,73,74,75,76,78,79,80,81,85,88,89,90,92,93,95,96,98,99,
105,110,111,113,118,120,121,122,123,124,125,126,127,128,130,131,132,133,134,
135,136,137,138,144,145,146,147,149,150,151,154,155,156,157,163,165,166,167,
168,170,172,173,175,177,179,181,182,185,186,188,190,195,197,198,199,200,201,
202,203,204,205,208,209,210,212,214,215,216,218,219,221,224,225,230,231,232,
233,234,235,237,238,239,241,242,243,247,249,250,251,252,253,254,255,258,259,
260,261,265,266,268,269,272,275,277,279,280,283,287,288,289,290,291,293,294,
295,296,297,304,305,307,308,313,314,315,320,328,331,333,334,335,336,344,345,
351,354,355,359,365,366,368,371,378,379,380,381,383,384,386,388,389,391,395,
396,399,400,401,402,403,404,405,406,410,415,418,424,425,431,435,436,438,441,
442,445,450,454,459,462,463,482,493,496,503,505,506,507,508,510,511,513,514,
515,518,520,521,523,524,525,526,530,531,533,534,535,536,537,538,540,541,543,
544,546,547,549,551,552,553,555,557,558,563,574,575,576,577,582,583,587,588,
589,601,605,606,614,616,618,620,621,622,625,626,628,629,638,641,653,655,657,
664,665,668,675,680,681,684,694,699,702,703,705,711,715,716,717,730,732,751,
753,757,759,786,787,791,793,801,806,823,825,826,829,830,831,832,833,834,835,
836,841,849,851,852,853,855,858,863,867,868,869,876,897,903,907,911,916,917,
932,933,935,953,969,975,976,985,986,988,1015,1037,1038,1040,1076],[1,2,3,4,5,
6,9,11,12,13,15,16,17,18,19,23,24,28,29,30,36,48,55,57,68,76,85,88,89,90,92,
95,98,107,109,110,112,114,115,119,123,138,150,166,190,206,217,233,234,246,251,
263,266,269,274,278,292,305,308,314,315,320,329,330,343,348,349,360,361,364,
388,390,399,418,420,424,431,437,462,478,479,490,494,495,517,548,559,562,580,
605,621,626,628,640,643,648,651,656,666,669,689,703,747,754,778,805,813,822,
849,858,863,875,924,927,929,961,973,985,1014,1039,1044,1045,1077],[1,2,3,7,8,
9,10,11,12,20,29,30,37,43,46,50,51,64,72,75,78,79,80,81,82,83,84,85,86,87,88,
89,99,123,125,134,136,195,239,241,255,265,289,293,294,295,296,298,299,300,301,
302,307,308,309,310,311,312,314,315,316,317,318,319,333,514,520,523,530,535,
541,590,591,592,593,594,595,596,601,614,615,617,619,621,623,624,627,629,825,
837,838,839,851,855,868,870,871,965,986,990,993,994,1050,1051,1052,1078],[1,2,
3,7,8,9,10,11,12,22,29,30,35,37,41,43,47,64,72,73,78,79,80,81,82,83,84,85,86,
87,88,89,105,122,123,134,137,195,239,241,260,265,287,288,291,295,297,298,299,
300,301,302,304,308,309,310,311,312,314,315,316,317,318,319,335,511,514,526,
535,576,583,590,591,592,593,594,595,596,606,615,616,617,619,621,623,624,625,
627,831,837,838,839,852,853,867,870,872,965,988,989,991,992,1048,1049,1053,
1079],[1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
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,
80,81,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,
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,
281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,320,321,
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,
588,589,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,
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,
874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,
893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,
912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,
931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,
950,951,952,953,954,955,956,957,958,959,960,961,962,963,998,999,1000,1001,
1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,
1017,1018,1019,1020,1021,1022,1023,1055,1056,1057,1058,1059,1060,1061,1080],[
1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,21,23,24,25,26,27,28,32,33,34,36,
37,38,39,40,42,43,44,45,48,49,52,53,56,59,60,61,62,63,64,65,66,67,71,72,77,82,
90,91,92,93,94,95,96,97,98,101,102,103,104,106,107,108,109,110,111,112,113,
114,115,116,117,118,119,120,121,128,129,130,131,132,133,134,139,140,141,142,
143,146,147,148,149,152,153,154,155,156,157,158,159,160,162,163,164,169,171,
172,173,174,176,177,179,180,181,182,183,187,189,191,192,193,194,196,200,206,
207,208,211,213,218,219,220,222,223,226,227,228,229,236,244,245,247,248,253,
256,257,264,267,271,273,274,276,281,282,284,285,298,299,300,301,302,320,321,
322,323,326,327,328,329,330,331,332,336,337,339,340,341,342,343,344,346,347,
350,352,353,354,357,362,364,369,370,373,374,375,376,377,378,381,382,385,392,
397,398,404,405,407,408,409,411,413,414,416,417,419,423,427,428,429,432,434,
439,440,442,443,445,446,447,448,449,451,452,456,457,458,460,461,464,465,468,
470,471,473,474,475,476,477,478,480,487,492,495,498,500,501,502,504,509,512,
516,527,528,529,532,539,545,550,554,560,561,564,565,566,568,569,571,573,578,
581,586,590,591,592,593,596,630,632,633,634,635,636,637,638,639,640,642,646,
647,649,654,659,667,671,673,677,678,679,682,690,691,692,696,698,700,706,723,
731,733,734,735,741,742,746,752,755,765,766,767,771,773,775,776,777,779,780,
782,795,802,808,809,810,811,814,816,820,827,828,839,874,882,884,904,908,912,
915,921,923,936,949,957,959,964,1003,1024,1025,1026,1027,1028,1062,1063,1064,
1065,1066,1081],[1,2,4,5,6,7,8,15,16,17,19,21,24,25,26,34,36,37,38,39,42,44,
49,52,53,60,61,71,77,79,82,93,96,98,101,106,108,112,115,116,119,120,121,140,
142,143,146,158,164,171,172,176,183,194,196,209,211,213,220,222,228,239,244,
248,256,259,264,271,276,282,292,298,299,300,321,326,328,329,339,350,362,373,
377,395,398,402,408,411,414,416,434,440,451,452,456,464,465,476,477,493,500,
504,517,554,559,566,580,590,595,630,636,654,659,668,671,677,682,714,752,764,
766,771,772,776,822,837,888,908,920,937,940,964,1013,1024,1025,1026,1062,1068,
1082],[1,2,4,5,6,7,8,15,16,17,19,21,24,25,26,34,36,37,38,39,42,44,49,52,53,60,
61,71,77,81,82,93,96,98,101,106,108,112,115,116,119,120,121,140,142,143,146,
158,164,171,172,176,183,194,195,196,211,213,220,222,228,230,231,244,248,256,
264,271,276,282,292,298,299,300,321,326,328,329,339,350,362,373,377,380,398,
403,408,411,414,416,434,438,440,451,452,456,464,465,476,477,500,504,517,554,
559,566,580,590,594,630,636,653,654,659,671,677,682,714,752,766,771,772,776,
790,822,838,889,908,920,941,947,964,1012,1024,1025,1026,1062,1067,1083],[1,2,
3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,58,59,60,61,
62,63,64,65,66,67,69,70,71,72,73,74,75,77,85,89,90,91,92,93,94,95,96,97,98,99,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,
120,121,122,124,125,126,127,128,129,130,131,132,133,134,136,137,139,140,141,
142,143,144,146,147,148,149,151,152,153,154,155,156,157,158,159,160,162,163,
164,167,168,169,170,171,172,173,174,175,176,177,179,180,181,182,183,185,186,
187,189,191,192,193,194,196,197,198,199,200,201,202,203,206,207,208,210,211,
212,213,214,216,218,219,220,221,222,223,224,225,226,227,228,229,232,235,236,
237,238,242,243,244,245,247,248,249,250,252,253,254,255,256,257,258,260,261,
264,267,268,271,272,273,274,275,276,277,279,280,281,282,284,285,303,304,305,
306,307,313,314,320,321,322,323,326,327,328,329,330,331,332,333,334,335,336,
337,338,339,340,341,342,343,344,346,347,350,351,352,353,354,357,362,363,364,
366,367,368,369,370,371,372,373,374,375,376,377,378,379,381,382,383,384,385,
387,389,392,393,396,397,398,400,401,404,405,407,408,409,411,412,413,414,415,
416,417,419,423,425,427,428,429,430,432,433,434,435,436,439,440,442,443,444,
445,446,447,448,449,451,452,453,456,457,458,460,461,463,464,465,466,468,469,
470,471,472,473,474,475,476,477,478,480,487,492,495,498,500,501,502,503,504,
505,509,510,512,515,516,518,525,527,528,529,531,532,536,539,544,545,547,549,
550,551,554,560,561,564,565,566,568,569,571,573,577,578,581,582,586,587,589,
597,600,601,602,604,605,606,607,616,618,620,622,626,629,630,632,633,634,635,
636,637,638,639,640,641,642,643,645,646,647,649,652,654,655,658,659,661,663,
667,670,671,673,674,676,677,678,679,680,682,683,686,690,691,692,693,694,695,
696,697,698,700,701,705,706,709,710,712,713,718,719,723,730,731,733,734,735,
740,741,742,744,745,746,748,752,755,758,761,765,766,767,768,771,773,775,776,
777,779,780,782,788,792,794,795,800,801,802,808,809,810,811,814,816,820,821,
827,828,840,841,847,853,856,863,868,869,874,875,876,879,880,882,883,884,890,
894,898,900,904,908,910,912,915,921,923,936,948,949,952,955,957,959,962,967,
969,972,973,975,978,1001,1002,1003,1016,1033,1038,1045,1047,1055,1084],[1,2,3,
4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,23,24,25,26,27,28,29,30,32,33,34,
36,37,38,39,40,42,43,44,45,48,49,52,53,55,56,57,59,60,61,62,63,64,65,66,67,68,
71,72,76,77,78,80,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,100,101,102,
103,104,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,123,
128,129,130,131,132,133,134,135,138,139,140,141,142,143,145,146,147,148,149,
150,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,169,171,172,
173,174,176,177,178,179,180,181,182,183,184,187,188,189,190,191,192,193,194,
196,200,204,205,206,207,208,211,213,215,217,218,219,220,222,223,226,227,228,
229,233,234,236,240,241,244,245,246,247,248,251,253,256,257,262,263,264,265,
266,267,269,270,271,273,274,276,278,281,282,283,284,285,286,290,295,303,305,
306,308,309,310,311,312,314,315,316,317,318,319,320,321,322,323,324,325,326,
327,328,329,330,331,332,336,337,339,340,341,342,343,344,345,346,347,348,349,
350,352,353,354,355,356,357,358,359,360,361,362,364,365,369,370,373,374,375,
376,377,378,381,382,385,386,388,390,391,392,394,397,398,399,404,405,406,407,
408,409,410,411,413,414,416,417,418,419,420,421,422,423,424,426,427,428,429,
431,432,434,437,439,440,441,442,443,445,446,447,448,449,450,451,452,454,455,
456,457,458,459,460,461,462,464,465,467,468,470,471,473,474,475,476,477,478,
479,480,481,482,483,484,485,486,487,488,489,490,491,492,494,495,496,497,498,
499,500,501,502,504,506,509,512,514,516,519,522,527,528,529,532,539,542,545,
546,548,550,554,556,560,561,562,564,565,566,567,568,569,570,571,572,573,574,
578,579,581,584,585,586,597,598,599,600,602,603,604,605,607,608,609,610,611,
612,613,615,617,619,621,623,624,626,627,628,630,631,632,633,634,635,636,637,
638,639,640,642,644,646,647,648,649,650,651,654,656,657,659,660,662,664,665,
666,667,669,671,672,673,675,677,678,679,681,682,684,685,687,688,689,690,691,
692,696,698,700,703,704,706,707,708,716,720,721,722,723,728,729,731,733,734,
735,736,737,738,739,741,742,743,746,747,749,750,752,754,755,756,760,763,765,
766,767,769,770,771,773,774,775,776,777,778,779,780,781,782,783,784,785,789,
791,795,796,797,798,799,802,803,806,807,808,809,810,811,812,814,816,817,819,
820,824,827,828,840,842,843,844,845,846,847,848,849,850,854,856,857,858,859,
860,861,862,863,864,865,866,870,874,877,878,881,882,884,885,886,887,892,895,
899,902,904,905,906,908,909,911,912,914,915,918,919,921,923,925,926,927,928,
930,931,934,936,938,942,943,945,949,957,959,966,967,968,970,971,972,974,977,
979,980,981,982,983,984,985,987,998,1000,1003,1004,1011,1017,1021,1022,1023,
1029,1030,1031,1032,1033,1034,1035,1036,1041,1042,1043,1046,1059,1069,1070,
1071,1072,1073,1074,1075,1085],[1,2,3,4,5,6,7,8,10,12,13,14,15,16,17,18,19,21,
23,24,25,26,27,28,32,33,34,36,37,38,39,40,42,43,44,45,48,49,52,53,56,59,60,61,
62,63,64,65,66,67,71,72,77,79,81,82,90,91,92,93,94,95,96,97,98,101,102,103,
104,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,128,129,
130,131,132,133,134,139,140,141,142,143,146,147,148,149,152,153,154,155,156,
157,158,159,160,162,163,164,169,171,172,173,174,176,177,179,180,181,182,183,
187,189,191,192,193,194,195,196,200,206,207,208,209,211,213,218,219,220,222,
223,226,227,228,229,230,231,236,239,244,245,247,248,253,256,257,259,264,267,
271,273,274,276,281,282,284,285,292,298,299,300,301,302,320,321,322,323,326,
327,328,329,330,331,332,336,337,339,340,341,342,343,344,346,347,350,352,353,
354,357,362,364,369,370,373,374,375,376,377,378,380,381,382,385,392,395,397,
398,402,403,404,405,407,408,409,411,413,414,416,417,419,423,427,428,429,432,
434,438,439,440,442,443,445,446,447,448,449,451,452,456,457,458,460,461,464,
465,468,470,471,473,474,475,476,477,478,480,487,492,493,495,498,500,501,502,
504,507,509,512,516,517,521,527,528,529,532,535,539,545,550,554,559,560,561,
564,565,566,568,569,571,573,575,578,580,581,586,590,591,592,593,594,595,596,
630,632,633,634,635,636,637,638,639,640,642,646,647,649,653,654,659,667,668,
671,673,677,678,679,682,690,691,692,696,698,700,702,706,714,715,723,731,733,
734,735,741,742,746,752,755,762,764,765,766,767,771,772,773,775,776,777,779,
780,782,790,795,802,804,805,808,809,810,811,813,814,815,816,818,820,822,827,
828,837,838,839,874,882,884,888,889,891,904,908,912,915,917,920,921,922,923,
924,936,937,940,941,947,949,957,959,964,965,999,1003,1005,1012,1013,1024,1025,
1026,1027,1028,1060,1062,1063,1064,1065,1066,1067,1068,1081,1082,1083,1086],[
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,
85,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
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,
280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,303,
304,305,306,307,308,313,314,315,320,321,322,323,324,325,326,327,328,329,330,
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,
578,579,580,581,582,583,584,585,586,587,588,589,597,600,601,602,604,605,606,
607,609,614,616,618,620,621,622,625,626,628,629,630,631,632,633,634,635,636,
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,
827,828,829,830,831,832,833,834,835,836,840,841,843,844,847,849,851,852,853,
855,856,858,863,867,868,869,874,875,876,877,878,879,880,881,882,883,884,885,
886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,
905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,
924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,
943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,
962,963,967,969,971,972,973,975,976,978,981,985,986,988,998,999,1000,1001,
1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,
1017,1018,1019,1020,1021,1022,1023,1029,1031,1033,1037,1038,1039,1040,1044,
1045,1047,1055,1056,1057,1058,1059,1060,1061,1069,1076,1077,1080,1084,1087],[
1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,56,58,59,
60,61,62,63,64,65,66,67,69,70,71,72,73,74,75,77,82,83,84,85,87,89,90,91,92,93,
94,95,96,97,98,99,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,
116,117,118,119,120,121,122,124,125,126,127,128,129,130,131,132,133,134,136,
137,139,140,141,142,143,144,146,147,148,149,151,152,153,154,155,156,157,158,
159,160,162,163,164,167,168,169,170,171,172,173,174,175,176,177,179,180,181,
182,183,185,186,187,189,191,192,193,194,196,197,198,199,200,201,202,203,206,
207,208,210,211,212,213,214,216,218,219,220,221,222,223,224,225,226,227,228,
229,232,235,236,237,238,242,243,244,245,247,248,249,250,252,253,254,255,256,
257,258,260,261,264,267,268,271,272,273,274,275,276,277,279,280,281,282,284,
285,298,299,300,301,302,303,304,305,306,307,311,312,313,314,317,319,320,321,
322,323,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,
343,344,346,347,350,351,352,353,354,357,362,363,364,366,367,368,369,370,371,
372,373,374,375,376,377,378,379,381,382,383,384,385,387,389,392,393,396,397,
398,400,401,404,405,407,408,409,411,412,413,414,415,416,417,419,423,425,427,
428,429,430,432,433,434,435,436,439,440,442,443,444,445,446,447,448,449,451,
452,453,456,457,458,460,461,463,464,465,466,468,469,470,471,472,473,474,475,
476,477,478,480,487,492,495,498,500,501,502,503,504,505,509,510,512,515,516,
518,525,527,528,529,531,532,536,539,544,545,547,549,550,551,554,560,561,564,
565,566,568,569,571,573,577,578,581,582,586,587,589,590,591,592,593,596,597,
598,599,600,601,602,604,605,606,607,608,610,611,612,613,615,616,618,620,622,
626,629,630,632,633,634,635,636,637,638,639,640,641,642,643,645,646,647,649,
652,654,655,658,659,661,663,667,670,671,673,674,676,677,678,679,680,682,683,
686,690,691,692,693,694,695,696,697,698,700,701,705,706,709,710,712,713,718,
719,723,730,731,733,734,735,740,741,742,744,745,746,748,752,755,758,761,765,
766,767,768,771,773,775,776,777,779,780,782,788,792,794,795,800,801,802,808,
809,810,811,814,816,820,821,827,828,839,840,841,845,846,847,853,856,857,859,
860,861,862,863,864,865,866,868,869,871,872,873,874,875,876,879,880,882,883,
884,890,894,898,900,904,908,910,912,915,921,923,936,948,949,952,955,957,959,
962,964,966,967,968,969,970,972,973,975,978,984,987,989,990,992,994,995,996,
997,1001,1002,1003,1016,1024,1025,1026,1027,1028,1032,1033,1035,1036,1038,
1043,1045,1047,1048,1051,1054,1055,1062,1063,1064,1065,1066,1070,1081,1084,
1088],[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,
958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,
977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,
996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,
1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,
1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,
1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,
1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,
1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,
1087,1088,1089]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,2,1],[1,
3,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,1],[1,3,1],[1,3,
1],[1,3,1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,2,1,1],[1,1,1,1,1],[1,
1,2,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,2,1,1],[1,2,1,1],[1,1,1],[1,1,1,
1,1],[1,1,2,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,2,1,1],[1,1,2,1],[1,1,2,1],[1,1,
2,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,
1,2,1],[1,2,1,1],[1,1,2,1],[1,1,2,1],[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],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,
1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1],[1,1,1,1,1],[1,1,2,1],[1,2,1,1],[
1,1,2,1],[1,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1],[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],[1,1,3,3,1,3,3,
1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,2,4,1,2,4,1],[1,4,1,2,1,2,4,1],[1,
1,2,1,1,2,1,1,1,2,2,1],[1,1,2,4,1,2,4,1],[1,5,2,2,1,4,1],[1,1,1,1,4,1,1,2,1,2,
1],[1,1,3,3,1,3,3,1],[1,3,4,1,6,1],[1,1,6,3,1,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,
1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,1,1,4,2,1,2,2,1],[1,1,1,1,1,
2,1],[1,1,6,1,4,2,1],[1,1,2,1,2,1],[1,1,1,2,3,1,1,1,2,1,1,1],[1,1,2,4,1,2,2,2,
1],[1,1,2,1,2,1],[1,1,1,1,4,1,2,2,2,1],[1,1,2,1,2,1],[1,1,1,1,1,2,1],[1,1,6,1,
2,2,2,1],[1,2,3,2,1,1,1,4,1],[1,1,2,4,1,2,4,1],[1,1,2,1,2,1],[1,1,2,2,2,1,1,1,
4,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,3,3,1,3,3,1],[1,1,2,2,1,1,1,1],[1,1,6,1,3,
3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,2,2,2,1,1,1,2,
2,1],[1,3,2,2,1,1,2,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,3,1,1,2,1,1,1,2,2,1],[
1,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,2,2,1],[
1,1,2,4,1,2,4,1],[1,1,1,1,4,1,2,1,1,2,1],[1,1,1,1,4,1,1,2,1,2,1],[1,1,1,1,1,2,
1],[1,2,1,2,1,1,1,1],[1,2,1,4,1,1,1,2,2,1],[1,3,2,1,1,1,1],[1,1,2,2,2,1,2,1,1,
2,1],[1,1,2,1,2,1],[1,1,4,2,1,1,1,2,2,1],[1,1,2,1,2,1],[1,1,2,2,2,1,2,1,1,2,
1],[1,1,2,2,2,1,1,1,2,2,1],[1,2,3,2,1,1,2,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,
1,1,1,4,1,2,2,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,2,1,2,1],[1,1,1,2,3,2,1,1,1,2,
1],[1,1,2,4,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,
2,1,1,2,1,1,1,2,2,1],[1,3,4,1,1,3,2,1],[1,1,1,1,1,2,1],[1,4,1,2,1,1,2,1,2,1],[
1,3,1,2,1],[1,2,1,2,1,1,1,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,1],[1,
1,2,1,2,1],[1,1,1,1,1,2,1],[1,1,3,1,2,1,1,1,2,2,1],[1,1,1,3,2,1,1,1,2,2,1],[1,
1,2,1,3,1,2,1,1,2,1],[1,1,4,2,1,1,1,2,2,1],[1,3,4,1,3,1,2,1],[1,1,2,2,2,1,1,2,
1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,3,2,1,1,1,1],[1,1,3,1,2,1,1,1,2,2,1],[1,1,
6,1,1,3,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,2,1,1,2,1],[1,1,2,4,1,1,1,2,2,1],[1,
3,2,2,1,2,1,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,2,1,
2,1],[1,2,1,4,1,4,2,1],[1,1,1,3,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,1,
1,1,2,1],[1,1,2,4,1,2,4,1],[1,1,4,2,1,1,2,1,2,1],[1,1,1,1,1,2,1],[1,1,2,1,3,1,
1,2,1,2,1],[1,1,2,1,2,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,1,1,2,1],[
1,3,2,1,1,1,1],[1,1,3,1,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,4,
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],[1,1,1,5,1,1,1,1,1,1,1,
1],[1,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,1,5,1,1,1,2,1,1,1],[1,1,2,2,1,1,1,1],[1,1,
1,1,1,2,1],[1,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[
1,1,2,1,2,1],[1,1,3,3,1,1,1,1,2,1,1],[1,2,1,4,1,1,1,1,1,2,1],[1,1,2,4,1,1,1,1,
2,1,1],[1,3,2,1,1,1,1],[1,1,2,1,3,1,1,1,1,1,1,1,1],[1,1,1,1,4,1,2,2,2,1],[1,1,
1,2,3,1,1,1,1,1,2,1],[1,1,2,1,1,1,1],[1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,1,1,1,
1,2,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,2,3,1,1,1,1,1,1,1,1],[1,1,2,1,1,
1,1],[1,3,2,1,1,1,1],[1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,1,2,1,1],[1,1,
2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,1,2,
1],[1,1,1,1,1,2,1],[1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,
1],[1,1,2,4,1,1,1,2,1,1,1],[1,3,2,1,1,1,1],[1,1,2,1,3,1,1,1,1,1,1,1,1],[1,1,1,
5,1,1,1,1,1,1,1,1],[1,1,1,1,1,2,1],[1,2,1,2,1,1,1,1],[1,1,1,1,4,2,1,2,2,1],[1,
1,2,3,1,1,1,1,1,1,1,1,1],[1,1,1,4,1,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,1,1,2,1],[
1,3,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[
1,1,2,1,3,1,1,1,1,1,1,1,1],[1,1,1,2,3,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,
1,5,1,1,1,2,1,1,1],[1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,1,1,1,1,1,1,1,
1],[1,1,1,2,3,1,1,1,1,2,1,1],[1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,3,3,1,1,
2,1,1,1,1],[1,1,1,1,1,2,1],[1,1,2,1,3,1,1,1,2,1,1,1],[1,1,2,1,3,1,2,1,1,1,1,
1],[1,3,2,1,1,1,1],[1,1,1,2,1],[1,3,2,1,1,1,1],[1,1,1,1,2,1,1],[1,1,2,2,1,1,1,
1],[1,1,1,1,1,1,1,1],[1,1,3,2,1,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,1,1,2,
1],[1,1,2,1,1,1,1],[1,1,2,2,2,2,1,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,1,1,1,1,
1],[1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,4,1,1,1,2,1,1,1],[1,1,
4,1,2,1],[1,1,1,2,3,1,1,1,1,1,1,1,1],[1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,
1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,
1,1,1],[1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,1],[1,1,
1,1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,
1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,3,3,1,3,1,1,
1,1],[1,3,4,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,1],[1,3,4,1,3,1,1,1,1],[1,1,
3,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,2,3,3,6,1,1,3,
3,3,3,3,6,6,6,1,2,3,3,6,1],[1,5,10,5,10,10,10,5,10,1],[1,1,2,3,3,6,1,1,3,3,6,
3,6,6,6,1,3,2,3,6,1],[1,6,3,6,2,1,3,2,3,6,6,12,3,6,6,1],[1,1,3,3,1,3,3,4,1,6,
1],[1,1,3,3,8,1,3,3,4,12,12,1,2,6,6,1],[1,1,1,1,12,1,1,6,1,4,2,12,4,4,1,4,2,2,
2,4,1],[1,1,5,5,4,2,1,1,2,5,2,6,4,4,8,2,1,1,1,2,4,4,1],[1,1,1,1,4,4,4,1,1,2,1,
2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,1,1,4,1,1,2,1,2,4,1,2,2,2,1],[1,1,1,1,4,
1,1,2,1,2,4,1,2,2,2,1],[1,1,1,1,4,8,1,1,2,1,2,4,4,4,4,4,8,1,2,2,2,4,4,1],[1,1,
2,3,3,6,1,3,3,1,6,6,3,3,3,6,3,1,1,1,3,3,3,1],[1,1,2,3,3,6,1,1,3,3,3,3,3,6,6,6,
1,2,3,3,6,1],[1,3,3,3,6,1,1,1,2,3,3,3,3,6,6,6,3,3,3,6,1],[1,1,2,3,3,6,1,1,3,3,
3,3,3,6,6,6,1,2,3,3,6,1],[1,1,2,1,1,2,2,2,4,1,1,1,2,1,1,2,2,2,2,2,2,4,4,4,4,1,
1,1,2,2,2,2,4,1],[1,1,1,2,3,1,1,1,2,1,1,4,1,2,2,2,1],[1,1,2,4,1,2,4,4,1,2,1],[
1,1,6,4,1,2,2,4,4,2,1,1,1,4,1],[1,2,3,2,1,1,1,4,4,1,2,1],[1,2,3,2,4,1,1,2,1,4,
2,4,1,1,1,2,2,1],[1,1,5,2,7,1,1,1,2,2,1,2,5,8,2,2,4,4,1,2,1,1,2,2,2,2,2,1],[1,
1,3,3,1,3,3,2,2,1,1,1,4,1],[1,1,1,2,3,4,4,1,1,1,2,1,2,1,2,2,2,4,4,4,4,4,1,1,1,
2,2,2,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,4,1,2,2,2,1],[1,1,1,2,3,1,1,1,2,1,1,4,1,
2,2,2,1],[1,4,1,2,4,1,2,4,2,2,4,1,1,1,4,1],[1,1,1,1,8,1,4,2,4,4,1,2,4,1],[1,1,
1,1,1,2,4,1,2,1],[1,1,6,1,4,2,4,1,2,1],[1,1,2,4,8,1,2,2,4,2,4,4,4,4,4,4,1,2,4,
4,4,1],[1,1,1,6,7,2,1,1,1,2,6,1,1,2,8,6,4,1,2,2,1,1,2,2,2,2,1],[1,2,3,2,1,1,1,
4,4,1,2,1],[1,1,1,2,3,4,4,1,1,1,2,1,2,1,2,2,4,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[
1,1,1,1,2,2,1,1,1,4,2,2,1,2,4,1],[1,1,3,3,1,3,3,4,1,2,4,1],[1,2,7,6,3,2,1,2,1,
2,10,4,2,8,2,1,2,2,4,4,1],[1,1,3,3,1,3,3,4,1,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,
4,1,2,4,1],[1,1,1,1,1,2,4,1,2,4,1],[1,1,1,1,1,4,2,1,2,1],[1,1,6,4,1,2,2,4,2,4,
1,1,1,4,1],[1,1,2,2,2,1,1,1,4,4,1,2,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,4,1],[
1,1,1,1,2,2,8,1,1,1,4,2,2,4,4,8,8,1,2,2,2,4,4,1],[1,1,2,6,2,4,1,2,1,1,2,2,2,2,
2,4,4,4,4,4,1,2,2,2,4,4,1],[1,1,2,2,2,1,1,1,4,4,1,2,1],[1,1,2,4,8,1,2,2,2,4,4,
4,4,4,4,4,1,2,4,4,4,1],[1,4,1,2,2,2,1,1,1,2,4,2,4,1,1,1,2,2,1],[1,1,5,5,4,1,1,
2,3,5,3,4,4,2,2,8,1,1,1,2,4,2,2,2,1],[1,1,2,2,6,4,1,2,1,1,2,2,2,2,2,4,4,4,4,4,
1,2,2,2,4,4,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,6,1,4,2,4,1,2,1],[1,5,2,4,2,1,2,4,
2,4,1,1,1,4,1],[1,5,2,2,2,2,1,1,1,4,2,4,1,1,1,2,2,1],[1,2,3,2,4,1,1,2,1,2,4,4,
1,1,1,2,2,1],[1,4,1,10,1,2,4,6,8,2,8,4,1,2,4,4,4,1],[1,1,3,3,2,2,4,1,3,3,1,1,
2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,3,3,6,1,1,3,3,3,3,6,3,3,6,3,1,1,1,
3,3,3,3,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,1,1,4,2,2,4,1,1,2,1,2,1,1,2,1,2,1,2,4,
2,2,2,4,2,2,1,1,2,1,1,1,1,1,2,2,2,1],[1,5,2,2,2,2,1,1,4,1,2,2,2,1,1,1,2,2,1],[
1,1,1,1,4,4,4,1,1,1,1,4,1,2,1,2,3,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,2,6,2,4,1,1,2,2,1,1,1,4,2,2,2,2,2,2,2,2,4,2,1,1,1,2,2,2,2,2,2,1],[1,3,4,1,
1,3,2,2,2,1,1,1,1],[1,1,1,1,4,4,1,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,2,2,2,1,1,2,1,
2,2,2,1,1,1,1],[1,1,1,1,4,4,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,3,3,6,1,1,3,1,
1,3,1,2,2,6,6,2,2,2,2,3,1,1,2,2,2,2,2,1],[1,1,1,1,4,1,2,2,2,2,2,1,1,1,2,2,1],[
1,1,1,1,2,2,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,4,5,6,1,1,2,1,2,3,3,1,5,4,2,
10,1,2,1,2,1,2,2,2,2,1],[1,1,2,2,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,1,1,4,2,1,2,2,
2,2,1,1,1,1],[1,1,1,1,2,2,1,1,1,2,2,4,1,2,2,2,1],[1,1,1,1,4,4,4,1,1,1,1,3,4,2,
1,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,4,1,1,3,2,2,2,1,1,1,1],[
1,3,4,1,2,1,3,2,2,1,1,1,1],[1,1,3,3,1,3,3,2,2,1,1,1,1],[1,1,2,1,5,6,1,1,2,1,1,
2,2,1,1,1,4,2,2,6,4,2,2,2,1,1,2,1,2,2,2,2,1],[1,1,2,1,1,10,1,2,2,2,1,1,5,1,1,
1,4,6,2,2,2,2,2,1,1,1,2,2,2,2,2,1],[1,1,2,2,2,1,1,1,4,4,1,2,1],[1,1,1,1,2,2,1,
1,1,2,2,4,1,2,2,2,1],[1,1,3,3,2,2,4,1,3,3,1,1,1,2,2,1,2,2,2,4,2,2,4,2,1,2,1,1,
1,1,1,1,2,2,2,1],[1,1,1,2,3,2,2,4,1,1,1,2,1,1,1,1,1,2,2,1,2,2,2,4,2,2,4,2,1,1,
1,2,1,1,1,1,2,2,2,1],[1,1,1,1,4,1,2,2,2,2,2,1,1,1,1],[1,2,1,4,4,1,1,2,2,1,2,2,
2,2,1,1,1,2,2,1],[1,1,1,1,4,2,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,4,4,1,2,2,
1,3,2,2,2,1,1,1,2,2,1],[1,1,2,2,2,4,1,1,1,2,4,2,4,1,1,1,2,2,1],[1,2,1,4,4,1,1,
2,1,4,2,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,4,2,1,1,1,1],[1,1,1,2,3,1,1,1,2,1,
1,2,2,1,1,1,2,2,1],[1,3,4,4,1,2,1,3,2,4,2,1,1,1,2,2,1],[1,1,2,5,5,2,1,1,1,3,5,
2,1,3,2,2,2,4,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,6,1,4,2,2,2,1,1,1,1],[1,1,3,4,
7,1,1,1,1,4,1,2,3,1,3,5,2,4,6,1,1,1,2,2,1,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,2,2,
2,2,1,1,1,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,1,2,2,2,2,2,1,
1,1,1],[1,1,3,3,1,3,3,2,2,1,1,1,1],[1,1,3,3,4,1,3,3,2,2,2,2,1,1,1,2,2,1],[1,1,
6,4,1,2,2,4,2,2,2,1,1,1,2,2,1],[1,1,3,3,4,1,3,3,2,2,2,2,1,1,1,2,2,1],[1,1,2,2,
6,4,1,1,2,1,4,1,1,2,4,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,4,4,2,1,
2,2,2,2,2,2,1,1,1,4,1],[1,1,3,3,1,3,3,2,2,1,1,1,2,2,1],[1,6,3,6,1,1,1,2,4,8,2,
2,2,4,8,1,2,1,3,2,2,2,2,1],[1,4,1,2,2,2,1,2,1,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,2,
2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,1,1,4,1,1,2,1,
2,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,1,1,4,1,1,2,1,2,2,2,
1,1,1,2,2,1],[1,1,2,5,1,6,1,1,2,1,1,2,2,1,1,1,2,6,4,2,2,4,2,2,2,1,1,1,2,2,2,2,
1],[1,1,2,2,2,8,1,2,1,1,1,2,2,2,1,4,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,
1,1,1,1,2,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,4,4,1,2,1],[1,5,2,2,2,2,1,1,1,4,2,2,2,
1,1,1,2,2,1],[1,1,6,2,2,1,2,1,1,2,2,2,4,1,1,1,2,2,1],[1,1,2,2,2,4,1,1,1,2,4,2,
4,1,1,1,2,2,1],[1,1,2,1,1,2,2,2,4,1,1,1,2,2,1,1,2,1,2,1,2,2,2,2,4,2,2,4,1,1,2,
1,1,1,1,1,2,2,2,1],[1,2,1,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,2,2,2,2,1,
1,1,1],[1,1,1,2,3,2,2,4,1,1,1,2,1,1,1,1,2,4,2,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,1],[1,1,3,4,7,1,1,1,1,4,1,1,3,2,4,2,4,2,8,1,1,1,1,1,2,2,1,1,2,2,1],[1,3,
4,4,1,2,2,1,3,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,4,2,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,
2,3,2,1,1,1,2,2,4,1,1,1,1],[1,1,2,4,4,1,2,4,2,2,4,1,1,1,2,2,1],[1,3,4,4,1,2,4,
1,3,2,2,1,1,1,2,2,1],[1,1,3,3,8,1,1,4,3,1,2,3,3,3,4,4,6,1,1,2,1,3,1,1,1,2,2,
1],[1,1,2,4,1,2,4,2,2,1,1,1,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,5,2,2,1,
4,4,1,2,1],[1,2,1,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,6,2,2,1,2,1,1,2,2,2,2,2,1,1,1,
2,2,1],[1,1,3,3,4,1,3,3,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,1,2,2,2,2,2,1,1,1,1],[
1,1,6,2,2,1,2,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,1,5,2,7,1,1,2,3,2,5,5,3,1,2,4,6,1,
1,1,2,1,2,1,1,1,2,2,1],[1,1,2,1,1,2,4,1,1,1,2,2,2,2,2,2,1,2,1,1,2,1],[1,1,2,4,
4,4,1,1,1,1,1,2,1,2,1,2,2,4,2,2,2,4,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,2,3,10,2,1,
3,2,1,7,3,6,4,6,1,2,1,1,2,2,2,4,1],[1,3,4,1,2,1,3,2,2,1,1,1,1],[1,1,2,2,2,1,1,
2,1,2,2,2,1,1,1,1],[1,2,3,2,4,1,1,1,2,6,4,1,1,1,2,2,1],[1,1,6,2,2,1,2,1,1,2,2,
2,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,2,1,2,2,2,1,1,1,1],[1,2,1,4,1,1,1,2,2,2,2,1,
1,1,1],[1,4,1,2,2,2,1,2,1,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,2,1,2,2,2,1,1,
1,1],[1,1,6,2,2,1,2,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,1,3,3,2,2,1,3,1,1,3,2,2,2,1,
1,1,1,1,1,1,1],[1,1,6,4,1,2,2,2,2,2,4,1,1,1,2,2,1],[1,2,1,4,4,1,1,2,1,4,2,2,2,
1,1,1,2,2,1],[1,2,1,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,2,3,1,1,1,2,1,1,2,2,1,1,1,
2,2,1],[1,1,1,1,4,1,2,2,2,2,2,1,1,1,1],[1,2,1,4,4,1,1,2,2,1,2,2,2,2,1,1,1,2,2,
1],[1,5,2,4,2,1,4,2,6,1,1,1,2,2,1],[1,1,1,1,4,4,1,2,2,2,2,2,2,2,1,1,1,4,1],[1,
2,3,2,1,1,1,4,4,1,2,1],[1,2,3,2,4,1,1,1,4,2,2,4,1,1,1,2,2,1],[1,2,3,2,1,1,1,4,
4,1,2,1],[1,4,1,2,1,2,4,4,1,2,1],[1,2,3,2,4,1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,1,
1,1,4,4,2,1,2,2,2,2,2,2,1,1,1,4,1],[1,4,1,2,4,1,2,4,4,2,2,1,1,1,2,2,1],[1,1,1,
1,1,2,2,2,1,1,1,1],[1,1,1,1,4,2,1,2,2,2,2,1,1,1,1],[1,1,1,2,3,1,1,1,2,1,1,2,2,
1,1,1,2,2,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,1,1,1,2,2,2,1,1,1,1],[1,1,1,2,3,1,1,
1,2,1,1,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,2,4,2,2,4,1,1,1,2,2,1],[1,3,2,6,1,1,1,1,
7,4,1,1,1,1,1,1,1,1],[1,3,2,2,2,2,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,
3,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,2,2,2,2,1,2,1,2,1,1,1,1,2,1,2,1,1,1,1,1,1,1,
1],[1,1,4,2,2,2,1,1,1,1,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,1,3,1,
2,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,5,4,1,1,1,1,2,1,2,1,2,1,3,1,3,3,1,1,3,2,2,1,1,
1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1],[1,1,6,2,2,3,1,2,1,3,1,1,2,1,1,1,1,1,1,1,1,
1],[1,1,1,1,1,5,6,1,1,1,1,1,1,1,1,1,1,4,1,1,2,1,1,1,3,1,1,5,3,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,1,2,1,1,4,2,1,2,2,1,1,2,2,2,2,1,2,1,1,2,1],[1,3,1,1,2,1,
1,1,2,2,2,2,1,1,1,1],[1,1,4,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,2,3,2,2,2,1,1,1,1,
1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,3,6,1,1,1,3,1,1,3,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1],[1,1,1,1,4,2,1,1,2,1,2,2,1,1,1,1],[1,1,4,2,
2,2,1,1,1,1,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,2,2,2,2,1,1,1,1],[
1,1,2,1,1,4,2,1,2,2,1,1,2,2,2,2,2,1,1,1,2,1],[1,1,2,3,1,8,1,1,1,2,2,2,1,1,1,3,
3,1,1,3,3,1,1,1,1,2,3,1,1,1,1,1,1,1,1,2,1,1,1,2,1],[1,1,2,2,2,4,1,2,1,1,1,1,2,
2,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,1,2,1,2,1],[1,1,2,1,3,8,1,1,2,1,1,2,2,1,1,2,3,
3,3,1,1,1,3,1,1,3,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1],[1,4,1,2,4,1,1,2,1,4,2,2,2,1,
1,2,1,2,1],[1,1,1,1,4,4,2,1,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,2,2,
2,2,1,1,1,1],[1,4,1,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,3,3,4,1,2,3,3,2,2,2,1,1,1,2,
2,1],[1,1,4,4,2,1,1,1,2,2,2,4,2,1,1,1,2,2,1],[1,1,1,1,5,1,6,1,1,1,1,1,1,1,1,1,
1,1,1,1,3,5,2,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,3,4,1,2,3,
3,2,2,2,1,1,1,2,2,1],[1,1,6,2,2,1,1,1,3,1,2,1,2,2,1,1,1,1,1,1,1,1,1],[1,1,6,2,
2,1,1,1,1,3,2,2,1,2,1,1,1,1,1,1,1,1,1],[1,1,6,4,3,1,1,1,3,2,2,1,1,1,1,1,1,1,1,
1,1],[1,1,1,1,4,2,1,2,1,1,2,2,1,1,1,1],[1,1,2,2,2,8,1,1,2,2,1,2,1,1,1,1,2,3,2,
2,2,2,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1],[1,1,2,1,3,2,2,1,2,1,1,1,1,1,
2,2,1,2,1,1,1,1,1,1,1,1],[1,1,4,4,2,1,1,1,2,2,2,2,4,1,1,1,2,2,1],[1,1,4,2,1,1,
1,2,2,2,2,1,1,1,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,3,3,6,1,1,1,1,
1,1,1,1,1,1,1,1,1,2,2,1,3,3,1,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,1,3,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,3,4,2,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,
3,2,2,2,2,1,2,1,1,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,2,1,1,1,2,2,2,4,2,
1,1,1,2,2,1],[1,1,3,3,1,2,3,3,2,1,1,1,1],[1,2,1,2,6,1,1,1,4,1,3,4,1,1,1,1,1,1,
1,1],[1,1,3,1,4,2,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,5,3,4,1,1,1,2,1,1,1,2,
1,2,1,1,1,3,3,3,1,2,2,1,3,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,1,
1,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,3,1,1,4,2,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,
1,1,2,4,6,1,1,1,1,1,1,1,1,1,1,1,1,4,1,1,1,1,1,2,1,3,1,1,4,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,1,1,1,1,2,1,1],[1,1,1,1,2,4,6,1,1,1,1,1,1,1,
1,1,1,1,2,1,1,1,2,1,3,2,2,4,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,2,3,
2,2,2,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,3,6,1,1,1,1,1,1,2,1,1,1,1,1,
1,4,2,4,2,3,1,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,2,4,2,1,1,1,2,2,2,2,
4,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,2,2,1,1,1,1,2,2,1,1,
2,1,2,1,1,1,1,1,1,1,1],[1,1,1,3,2,1,1,1,2,2,2,2,1,1,1,1],[1,3,2,6,1,1,1,1,7,4,
1,1,1,1,1,1,1,1],[1,1,3,1,4,2,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,3,4,2,1,1,
1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,1,2,1,2,1],[1,1,3,3,2,2,1,3,1,3,1,2,2,2,1,
1,1,1,1,1,1,1],[1,1,2,1,3,2,2,1,2,1,1,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,
1,2,2,2,1,1,1,1,2,1,1],[1,1,3,1,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,4,1,1,1,1,2,
1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,1,1,3,1,1,2,2,1,1,1,1,1,1,1,1],[
1,3,4,2,2,1,3,1,1,2,1,2,1,2,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,3,1,1,1,1,1,1,
1,1,1],[1,3,2,2,2,2,1,2,1,1,1,1,2,1,2,1,2,1,1,1,1,1,1,1,1],[1,3,2,2,2,2,1,1,1,
2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,1,3,3,
2,2,1,3,1,1,3,1,2,1,2,1,1,1,1,1,1,1,1],[1,2,1,2,6,1,1,1,4,1,3,4,1,1,1,1,1,1,1,
1],[1,1,2,1,3,2,2,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,4,2,1,1,1,
2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,4,4,2,1,
1,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,2,6,1,1,1,1,1,1,1,1,1,1,1,2,1,1,3,4,1,1,
2,2,2,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,1,1,1,3,1,2,2,2,1,1,1,1,
1,1,1,1,1,1],[1,2,3,2,4,1,1,2,1,4,2,2,2,1,1,2,1,2,1],[1,1,2,1,2,1,2,1],[1,1,3,
3,2,2,1,3,1,3,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,8,1,1,2,2,1,4,2,1,1,1,1,
3,2,2,2,2,1,1,2,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,3,3,1,2,3,3,2,1,1,1,
1],[1,3,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,2,1,2,2,1,1,1,3,1,1,1,1,1,1,1,1,1],[
1,1,2,1,3,2,2,1,1,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,3,3,6,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,1,1,3,2,3,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
3,1,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,4,2,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,
4,1,1,1,1,2,1,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,
10,5,1,1,2,1],[1,1,2,1,1,1,2,1],[1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,5,5,1,
1,1],[1,1,5,5,5,1,1,1,1,1],[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],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,
1,6,4,3,1,3,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,
4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,
1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,
4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,1,2,3,3,6,1,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,3,3,4,1,3,3,4,1,1,
1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,2,6,1,1,3,
3,1,2,2,3,1,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,
1],[1,1,6,4,1,3,3,4,1,1,1],[1,1,3,3,8,1,4,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,
3,3,1,4,3,1,1,1,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[
1,1,6,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,
1,1],[1,1,5,5,20,5,5,10,5,10,10,10,30,10,20,20,20,5,10,10,10,10,10,10,10,10,
10,20,20,20,1,5,5,10,10,1],[1,1,2,3,3,6,8,1,1,3,3,6,3,6,4,4,6,6,12,12,1,3,2,2,
3,4,6,6,6,6,12,1,1,1,6,6,1],[1,1,9,9,12,2,4,3,3,6,6,9,2,6,12,18,6,18,12,12,36,
2,4,3,3,3,2,6,6,12,6,18,12,6,12,6,6,12,12,12,12,1,3,3,6,6,6,6,1],[1,1,5,10,15,
5,5,5,5,5,10,5,5,5,5,15,25,20,10,30,5,5,5,5,5,5,5,5,5,10,10,15,10,5,5,5,15,5,
10,20,1,5,5,5,5,5,5,1],[1,1,5,5,4,4,4,2,1,1,2,5,2,2,2,6,4,4,4,4,4,4,4,8,8,2,1,
1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,1,1,12,8,1,1,6,1,
4,2,4,4,12,4,4,4,4,4,4,8,1,4,2,2,2,2,2,2,2,2,2,4,4,4,8,8,1,1,1,4,4,4,1],[1,1,
1,1,12,4,4,1,1,6,1,4,2,2,2,4,4,4,12,4,4,4,4,8,1,1,1,4,2,2,2,2,2,2,2,2,4,4,4,8,
8,1,1,1,2,2,4,4,1],[1,1,5,5,4,8,2,1,1,2,5,2,6,4,4,4,4,4,4,4,4,8,8,2,1,1,1,2,2,
2,2,2,2,2,4,4,4,4,8,8,1,1,1,2,2,4,4,1],[1,1,2,3,3,6,4,4,8,1,1,3,3,3,3,3,6,6,2,
2,6,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,2,1,3,1,3,6,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,2,2,2,2,4,4,4,4,4,1],[1,1,2,7,7,
14,1,1,2,3,3,7,3,7,4,14,6,6,14,12,12,12,12,12,24,1,2,2,1,7,1,3,4,4,4,4,6,2,6,
2,2,4,4,12,4,12,4,4,4,12,4,4,4,4,12,8,8,1,2,1,1,4,2,2,2,4,4,4,4,1],[1,1,2,3,3,
6,1,1,3,3,3,3,3,6,6,6,4,4,1,2,3,3,2,2,6,2,2,2,2,8,8,1,1,1,2,2,4,4,1],[1,1,3,3,
6,6,12,1,3,3,1,1,3,3,2,3,6,6,3,6,6,3,3,6,3,3,6,6,12,12,12,12,6,6,6,6,6,1,1,1,
3,3,2,6,3,3,3,3,6,6,6,3,3,3,3,3,3,6,6,6,6,12,6,6,6,6,6,6,6,6,6,1,3,3,3,3,3,3,
6,6,1],[1,1,9,6,15,2,1,3,3,3,5,6,9,9,9,21,15,9,12,18,30,2,3,1,1,4,3,3,3,3,9,9,
6,6,3,12,6,9,12,9,9,3,9,18,12,1,3,3,3,3,6,3,6,3,1],[1,1,3,3,1,3,3,6,6,1,3,3,
12,3,1],[1,6,3,6,4,2,1,3,2,3,6,6,6,6,12,1,3,6,6,3,6,6,1,3,3,1],[1,5,2,4,8,2,1,
2,2,2,4,2,4,4,4,4,4,4,4,4,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,1,6,7,4,4,2,
1,1,1,2,6,1,2,1,2,2,2,8,6,2,4,4,4,4,4,4,4,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,5,5,4,2,1,1,2,5,2,6,4,4,4,4,8,2,1,1,1,2,4,
2,4,2,4,4,1,1,1,2,2,1],[1,1,1,1,4,1,1,2,1,2,4,4,4,1,2,2,2,2,2,1,1,1,2,2,1],[1,
6,3,6,4,2,1,3,2,2,3,6,2,4,6,4,12,1,1,3,2,6,2,6,2,4,4,1,1,1,2,2,1],[1,1,5,5,4,
8,2,1,1,2,5,2,6,4,4,4,12,4,12,8,2,1,1,1,2,2,2,4,6,2,2,4,6,4,4,4,4,1,1,1,2,2,2,
2,2,2,1],[1,1,1,1,4,8,1,1,2,1,2,4,4,4,4,4,1,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,4,
4,1],[1,5,2,6,2,4,2,1,2,1,1,2,2,2,4,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,
4,1,1,1,2,2,1],[1,1,1,1,4,4,4,1,1,2,1,2,2,2,4,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,
2,2,2,1],[1,5,10,4,5,2,2,10,10,10,4,4,1,5,1,2,10,4,4,4,1,1,1,2,2,1],[1,1,1,1,
4,4,4,16,1,1,2,1,2,4,6,6,4,2,4,4,8,4,4,4,4,2,4,12,12,8,4,4,4,8,4,4,4,4,8,4,8,
1,2,2,2,4,2,4,4,4,2,2,6,2,4,2,4,8,8,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,4,4,4,4,4,4,
1,1,1,2,4,2,4,4,4,4,4,1],[1,1,2,1,1,2,8,1,1,1,2,2,4,4,2,2,4,4,1,1,1,4,2,2,4,4,
4,1,1,1,2,2,1],[1,1,2,1,1,2,2,2,8,4,1,1,1,2,1,1,2,4,4,2,2,2,2,2,4,4,4,4,4,4,8,
8,1,1,1,4,2,2,2,2,2,2,2,2,4,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,4,1,2,4,8,1,2,2,4,2,
2,4,2,4,4,4,4,4,4,4,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,4,1,10,4,1,2,4,2,6,
2,4,8,2,8,4,4,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,5,5,4,2,1,1,2,5,2,6,4,4,
8,8,2,1,1,1,2,4,4,4,8,1,2,2,2,1],[1,5,2,4,8,2,1,2,2,4,2,4,2,4,4,4,4,4,4,4,1,1,
1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,5,5,4,1,1,2,3,5,3,4,4,4,2,2,4,8,1,1,1,2,2,
4,2,2,2,6,2,2,1,1,1,2,2,1],[1,4,1,2,6,2,4,1,2,1,1,2,2,4,2,2,2,2,2,4,4,4,4,4,4,
1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,1,1,2,2,2,4,1,1,1,2,1,1,2,2,2,2,
2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,3,3,2,2,8,4,1,3,3,
1,1,4,2,2,2,2,2,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,8,1,1,1,2,
2,4,4,1],[1,1,3,3,8,1,3,3,4,2,2,4,4,4,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,3,
3,6,1,1,3,3,3,3,3,6,6,6,4,4,1,2,3,3,6,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,
1],[1,1,1,1,4,4,4,1,1,2,1,2,2,2,4,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,
1,3,3,1,3,3,4,2,2,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,4,1,2,2,6,4,1,2,1,1,2,2,4,2,
2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,5,10,4,5,2,2,4,
10,10,10,4,1,5,1,10,2,4,4,4,1,1,1,2,2,1],[1,1,5,5,4,2,1,1,2,5,2,6,4,4,8,8,2,1,
1,1,2,4,4,4,4,4,1,2,2,2,1],[1,2,7,6,4,3,2,1,2,2,1,4,2,10,4,2,2,4,8,1,2,1,1,2,
2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,1,1,4,4,4,1,1,2,1,2,2,2,4,4,4,4,4,8,4,1,1,1,
2,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,1,1,1,4,4,4,8,1,1,2,1,2,2,2,4,4,4,4,4,4,4,8,4,
8,8,1,1,1,2,2,2,2,2,4,2,2,4,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,4,8,1,
1,2,1,2,4,4,4,4,4,8,4,4,1,2,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,4,1,10,4,1,2,4,2,
6,2,8,2,4,8,4,4,1,1,1,2,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,5,2,7,4,4,1,1,1,2,2,1,
2,2,5,2,2,8,4,2,2,2,4,4,4,4,4,4,4,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,
4,4,1,1,1,2,2,2,2,4,1],[1,1,5,2,7,4,4,1,1,1,2,2,1,2,2,5,2,2,8,2,2,2,4,4,4,4,4,
4,4,4,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,
1,1,4,8,8,8,1,1,2,1,2,2,2,2,2,2,2,6,8,6,2,4,2,2,4,2,6,6,8,4,8,12,4,4,8,4,4,8,
8,4,8,4,1,1,1,2,2,2,2,2,4,2,2,2,6,2,2,2,2,2,2,2,4,2,2,2,2,4,8,4,4,4,4,4,4,4,4,
8,8,4,4,4,4,8,8,4,4,1,1,1,2,2,2,2,4,2,2,4,4,4,1],[1,1,1,1,4,4,4,1,1,2,1,2,2,2,
4,4,4,4,4,8,4,1,1,1,2,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,1,1,1,12,1,1,6,1,4,2,12,4,
4,4,4,1,4,2,2,2,2,4,2,4,4,1,1,1,2,2,1],[1,5,2,2,6,4,2,1,2,1,1,2,2,4,2,2,2,2,4,
4,4,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,3,3,2,2,4,1,3,3,1,1,4,2,
2,2,2,2,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,5,5,4,2,1,1,2,5,
2,6,4,4,4,4,8,2,1,1,1,2,4,6,4,2,4,1,1,1,2,2,1],[1,4,1,2,4,8,1,2,2,4,2,2,2,4,4,
4,4,4,4,4,4,1,1,1,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,3,3,6,1,1,3,3,6,3,6,6,6,
4,4,1,3,2,3,2,2,2,2,6,4,1,1,1,2,2,1],[1,1,5,5,4,8,1,1,2,3,5,3,4,4,4,2,2,12,12,
4,8,1,1,2,1,2,4,2,6,2,6,2,2,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,2,1,1,2,1,1,1,2,2,2,
2,4,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,1,6,7,4,4,2,1,1,1,2,6,1,2,1,2,2,4,2,8,6,
2,4,4,4,4,4,4,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,
1],[1,2,7,6,4,3,2,1,2,2,1,2,10,4,2,4,2,4,8,1,2,1,1,2,2,2,2,2,4,4,4,4,1,1,1,2,
2,1],[1,6,3,6,4,2,1,3,2,2,3,6,4,2,6,4,12,1,1,3,6,2,6,2,2,4,4,1,1,1,2,2,1],[1,
1,3,3,1,3,3,6,6,1,3,3,6,6,3,1],[1,1,3,3,6,6,12,1,1,1,3,3,2,3,3,3,3,6,3,3,3,6,
3,3,3,6,6,6,6,6,12,6,6,12,6,6,6,6,6,6,1,1,1,1,1,6,3,3,3,3,3,3,3,3,3,3,3,3,3,6,
3,3,3,6,3,6,6,6,3,3,3,3,3,3,3,6,6,3,3,3,3,3,6,6,3,1,3,3,3,3,3,3,3,3,3,3,1],[1,
4,1,2,2,2,8,1,2,2,1,1,4,2,1,2,2,2,1,4,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,4,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,4,7,4,4,1,1,1,1,4,1,2,1,3,2,2,2,2,4,
2,4,2,2,4,2,4,4,4,4,8,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,2,2,2,4,2,2,2,
2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,1,4,2,2,4,1,1,2,1,2,1,1,4,2,1,2,1,2,4,2,2,
2,2,4,2,2,2,1,2,2,2,1,2,1,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,3,6,
2,2,4,1,1,3,3,6,1,1,3,6,2,2,2,2,6,2,2,2,6,4,4,4,4,1,3,2,3,1,1,1,1,2,2,2,1,1,2,
1,1,6,2,4,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,1,4,4,4,1,1,1,1,4,1,2,1,
2,3,2,4,2,2,2,2,2,2,2,2,4,1,1,1,2,1,2,1,2,1,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,
5,5,4,2,2,4,2,1,1,2,5,2,6,1,1,4,2,1,4,2,1,2,4,2,2,2,2,4,2,2,2,8,2,1,1,1,2,1,2,
4,1,1,1,1,1,4,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,2,
3,2,2,4,1,1,1,2,1,1,1,1,2,1,2,2,2,1,2,2,4,2,4,2,2,4,2,1,1,1,1,1,2,2,1,1,1,1,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,4,1,3,3,1,1,2,2,2,2,2,4,4,4,4,4,4,1,
1,1,2,2,2,2,2,2,4,2,2,2,2,1,1,1,2,2,1],[1,1,2,3,3,6,4,1,1,3,3,3,3,3,6,6,6,2,2,
2,2,2,2,1,2,3,3,6,2,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,4,1,3,1,1,
3,2,2,2,2,2,6,2,1,1,1,3,1,1,2,1,2,1,2,1,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,1,2,3,4,8,12,1,1,1,2,2,1,3,1,1,2,3,3,2,5,2,2,4,4,2,2,4,4,1,10,6,6,8,6,
6,2,4,4,10,6,6,6,8,8,2,4,1,1,1,1,1,2,2,3,1,3,1,2,3,1,2,2,2,4,1,2,1,3,1,2,2,2,
4,4,4,6,4,2,6,2,4,2,4,2,4,2,2,2,2,4,6,4,2,4,2,2,2,4,6,2,2,2,2,4,4,1,1,1,2,1,2,
1,1,1,2,4,2,2,2,2,2,2,2,1],[1,1,3,4,7,4,4,1,1,1,1,4,1,2,2,3,2,2,1,3,5,2,2,4,4,
2,4,4,4,4,2,6,1,1,1,1,2,1,1,2,2,2,2,2,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,2,2,1,3,1,1,3,6,2,2,2,2,1,1,1,1,1,1,7,1,1,4,1,
1,1,1,1,1,1,1],[1,1,3,3,2,2,12,1,3,1,1,3,6,2,2,2,14,2,14,8,8,1,2,1,1,2,1,1,1,
7,1,1,6,2,2,4,2,2,4,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,2,3,2,2,4,1,1,1,2,
1,1,1,1,2,4,2,6,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,2,2,3,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,1,1,4,2,2,4,1,1,2,1,2,1,1,2,1,2,4,1,2,4,2,2,2,2,4,2,2,2,1,2,2,2,1,
2,1,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,4,1,1,1,1,4,4,1,2,1,2,
3,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,2,1,1,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,1,6,2,6,
4,1,2,2,1,1,2,2,2,2,2,2,2,2,4,4,2,4,4,4,2,1,1,1,2,2,1,2,1,2,4,2,4,2,2,2,2,1,1,
1,1,1,1,1,1],[1,5,2,2,2,8,2,1,2,1,1,2,1,2,4,2,2,1,4,2,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,2,2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,2,2,4,4,2,1,1,1,4,
4,1,2,1],[1,1,2,1,1,2,2,2,4,1,1,1,2,1,1,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,
2,4,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,2,2,4,4,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,
2,4,4,4,2,4,2,1,1,1,2,2,2,2,1,2,1,1,1,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,
4,1,1,1,1,3,4,2,1,2,1,2,4,2,2,2,2,2,2,2,2,4,1,1,1,2,2,2,1,1,1,1,2,2,2,2,2,2,2,
1,1,1,2,2,1],[1,1,6,6,2,4,1,2,2,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,2,4,1,1,1,2,1,2,
2,1,2,4,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,4,4,1,2,1,1,1,1,2,2,1,2,2,2,1,2,
2,4,4,2,2,2,4,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,
2,2,2,8,2,1,1,1,4,2,4,4,12,4,4,1,2,1,1,1,2,1,2,1,2,1,2,2,2,4,2,4,2,2,1,1,1,2,
2,2,2,2,2,1],[1,2,3,2,4,1,1,1,2,4,6,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,4,1,2,2,2,8,
1,1,1,2,4,2,8,4,4,4,4,4,1,1,1,1,2,1,2,1,2,2,1,2,2,4,2,2,4,2,2,1,1,1,2,2,2,2,2,
2,1],[1,1,5,5,4,2,2,4,1,1,2,3,5,1,1,3,4,2,2,2,4,2,2,2,2,2,2,4,4,4,4,8,1,1,1,1,
1,1,1,2,2,1,1,4,2,2,2,2,2,1,1,2,2,4,4,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
2,2,2,4,1,1,1,2,4,4,2,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,2,2,4,1,1,1,2,4,2,4,4,
4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,2,2,4,1,1,1,2,4,4,2,4,4,1,1,1,2,2,2,2,1,1,1,
1],[1,1,2,2,2,4,1,1,1,2,4,2,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,6,3,6,4,2,1,3,2,3,
6,6,4,2,2,4,12,3,6,6,1,1,4,2,2,2,4,1,1,1,2,2,1],[1,2,7,6,4,3,2,1,2,1,2,10,4,2,
4,2,2,4,8,2,1,2,2,1,1,4,4,4,2,2,2,4,1,1,1,2,2,1],[1,1,2,1,1,2,6,6,12,1,1,1,1,
1,2,1,1,2,2,2,2,3,6,2,2,3,6,2,3,3,2,3,3,2,6,4,6,4,4,4,4,12,4,4,4,6,6,12,6,6,6,
1,1,1,1,1,2,2,2,2,2,2,2,2,6,3,3,1,2,2,1,2,1,1,1,2,1,2,2,1,1,2,2,2,4,2,2,2,4,2,
2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,6,2,6,6,2,6,2,2,2,2,1,1,1,2,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,1],[1,1,3,4,7,4,4,1,1,1,1,4,1,2,2,3,2,2,1,4,3,5,2,2,4,4,2,4,4,
2,4,6,1,1,1,1,2,2,1,1,2,2,2,1,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,2,2,2,2,1],[1,1,1,1,4,4,4,1,1,1,1,4,3,4,2,1,2,1,2,2,2,2,2,2,2,2,2,4,1,1,1,
2,1,1,1,1,2,2,2,2,2,4,2,2,1,1,1,2,2,1],[1,4,1,10,4,1,2,4,2,2,6,8,2,2,2,8,2,2,
4,1,1,1,2,1,4,4,1,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,10,4,5,2,2,10,10,10,2,2,
2,2,5,1,1,1,10,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,2,7,2,2,4,1,1,1,2,2,1,1,
1,2,5,8,2,2,2,2,2,4,4,2,4,2,2,2,2,2,2,2,4,1,2,1,1,1,1,1,1,2,1,2,2,1,1,1,2,2,2,
2,4,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,4,1,2,4,1,2,4,2,2,4,8,1,1,
1,4,4,1,2,1],[1,2,3,2,4,8,1,1,2,1,4,2,4,4,8,4,8,1,1,1,1,2,1,2,2,2,1,1,2,2,2,2,
2,4,2,4,1,1,1,2,2,2,2,2,2,1],[1,1,5,5,4,4,1,1,2,3,5,3,2,2,4,4,2,2,2,2,2,2,8,1,
1,1,2,1,4,2,1,2,1,2,1,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,4,4,1,3,3,2,2,2,2,2,
2,2,2,4,1,1,1,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,2,2,8,1,2,2,1,1,1,2,2,
2,2,2,2,1,4,2,2,2,2,2,2,2,4,2,2,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,3,4,7,1,1,1,1,4,1,2,3,1,2,3,5,2,2,4,4,6,1,1,1,1,1,2,2,2,2,1,1,1,1,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,6,7,2,1,1,1,2,6,1,1,2,2,8,6,2,2,2,4,1,2,2,1,
1,1,1,1,2,2,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,2,2,4,2,1,1,1,2,2,2,2,2,
2,2,2,2,4,1,1,1,1,1,2,2,4,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,6,4,8,1,2,2,2,2,2,2,2,
4,4,4,4,4,2,4,2,4,1,1,1,2,1,1,4,4,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,1,1,2,3,4,
4,1,1,1,2,1,2,1,2,2,2,4,2,2,4,2,4,4,2,4,1,1,1,1,1,2,2,1,2,2,2,2,1,2,2,2,2,1,1,
1,1,1,1,1,1],[1,4,5,6,4,1,1,2,1,2,2,3,3,4,1,5,4,2,2,2,2,10,1,1,1,2,1,1,2,1,2,
2,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,4,1,3,3,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,4,4,1,1,1,2,2,4,4,
4,1,2,1],[1,2,3,2,4,1,1,2,1,4,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,4,2,2,8,
2,1,1,1,4,2,2,2,2,2,2,4,4,2,8,8,1,1,1,2,2,1,2,1,4,2,4,4,2,4,1,1,1,1,1,1,1,1],[
1,1,2,2,6,4,4,1,2,1,1,2,2,2,2,2,4,2,4,4,4,2,4,4,4,1,2,1,2,1,2,2,4,2,4,2,4,4,1,
1,1,2,2,1],[1,2,3,10,4,2,1,3,2,2,1,2,4,7,3,6,4,2,2,6,1,1,2,1,1,1,1,2,2,1,2,4,
2,4,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,4,1,1,1,1,4,1,2,1,2,3,2,2,2,2,2,2,2,2,
2,4,4,1,1,1,1,1,1,1,2,2,2,4,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,4,1,1,2,1,2,2,2,
4,2,2,2,2,1,2,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,4,7,4,4,1,1,1,1,4,1,2,1,
3,2,2,2,2,4,4,2,4,2,2,2,4,4,4,4,8,1,1,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,1,1,2,
2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,1,12,4,1,1,6,1,4,2,2,2,12,4,4,
2,2,2,2,1,4,2,2,2,1,1,1,4,1,4,2,2,4,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,4,1,1,1,1,3,
4,2,1,2,1,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,1,1,1,2,2,1],[
1,1,1,2,3,4,4,1,1,1,2,1,2,1,2,2,2,2,2,4,2,4,4,4,4,2,1,1,1,1,1,2,2,2,1,2,2,2,1,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,6,2,4,4,1,2,1,1,2,2,2,2,2,2,4,4,4,2,4,4,4,4,1,
2,1,2,2,1,4,2,4,2,2,4,4,1,1,1,2,2,1],[1,2,7,6,4,3,2,1,2,1,2,10,4,2,6,6,8,2,1,
1,2,2,3,4,2,4,4,2,4,1,2,1,2,1,1],[1,1,6,4,8,1,2,2,2,2,2,4,2,2,4,4,2,4,4,2,4,4,
1,1,1,1,2,1,2,4,2,2,2,4,2,4,2,1,1,1,1,1,1,1,1],[1,5,2,2,2,2,1,1,1,4,2,4,4,4,1,
1,1,2,2,2,2,1,1,1,1],[1,2,3,2,4,8,1,1,2,1,2,4,4,4,8,4,8,1,1,1,1,2,2,2,1,1,1,2,
4,2,2,2,2,2,4,2,1,2,1,1,2,2,2,2,2,1],[1,1,6,4,1,2,2,4,2,4,8,1,1,1,4,4,1,2,1],[
1,1,1,1,12,2,2,4,1,1,6,1,4,2,1,1,2,1,12,2,4,1,4,2,4,2,2,2,2,4,2,2,2,1,4,2,2,2,
1,2,1,1,1,1,1,4,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,3,
10,4,2,1,3,2,2,1,2,7,3,6,4,4,2,2,6,1,1,2,1,1,1,1,2,2,1,2,2,2,2,4,2,4,1,1,1,1,
1,1,1,1],[1,4,5,6,4,1,1,2,1,2,2,3,3,1,5,4,2,4,2,2,2,10,1,1,1,2,2,1,2,1,2,1,2,
2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,2,3,2,2,4,1,1,1,2,1,1,1,1,2,1,2,2,2,1,
2,2,2,4,2,2,4,4,2,1,1,1,1,1,2,2,2,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,
3,4,4,1,3,3,2,4,2,2,2,2,2,2,2,1,1,1,1,1,6,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,2,3,2,
4,1,1,2,1,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,3,8,4,4,1,1,4,3,1,2,2,2,3,4,
4,3,3,4,4,4,4,2,8,2,6,1,1,1,1,2,2,2,1,3,1,4,1,1,1,4,1,2,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,4,1,2,2,4,2,4,1,1,1,4,4,1,2,1],[1,2,3,10,4,2,
1,3,2,2,2,1,7,3,6,2,2,4,4,6,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,
1],[1,1,2,3,3,6,4,1,1,3,3,6,3,6,2,2,6,6,2,2,2,2,1,3,2,3,2,1,1,1,1,6,2,2,2,4,1,
1,1,1,1,1,1,1],[1,2,3,10,4,2,1,3,2,2,2,1,7,3,6,2,2,4,4,6,1,1,1,2,1,1,2,2,2,2,
2,2,4,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,8,1,1,4,3,1,2,3,4,3,3,4,4,2,2,6,1,1,2,
2,2,2,1,3,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,8,1,1,4,3,1,2,3,3,3,4,4,
4,2,2,6,1,1,2,2,2,2,1,3,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,4,1,1,
1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,1,1,1,1,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,5,2,7,2,2,
4,1,1,1,2,2,1,2,5,1,1,8,1,2,2,2,2,1,4,2,2,2,2,4,2,2,4,2,2,4,1,2,1,1,1,2,1,2,1,
2,2,2,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,6,
7,2,2,4,2,1,1,1,2,6,1,1,1,1,1,2,2,8,6,2,1,2,2,2,2,4,2,2,4,2,2,4,1,2,2,1,1,1,1,
1,2,2,2,2,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
3,3,4,1,3,3,2,2,2,2,2,4,2,1,1,1,2,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,8,8,1,
1,4,3,1,2,4,4,3,3,4,3,4,4,4,4,8,2,2,6,1,1,2,2,2,2,1,3,1,4,1,1,1,4,1,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,2,2,1,3,1,1,3,2,2,2,2,6,1,1,1,
1,1,1,1,1,3,4,4,1,1,1,1,1,1,1,1],[1,1,1,1,4,8,4,2,1,4,2,2,2,2,2,2,2,4,4,2,1,1,
1,2,1,1,2,2,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,4,2,1,2,4,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,2,2,2,2,4,2,4,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,8,4,1,1,1,1,4,4,1,2,1,
2,3,2,4,2,2,2,2,4,2,2,2,2,8,4,8,1,1,2,1,1,2,1,1,1,2,2,2,4,2,2,2,4,2,2,4,4,4,4,
1,1,1,2,2,2,2,2,2,1],[1,1,1,1,4,4,8,4,1,1,1,1,4,3,4,2,1,2,1,2,4,2,2,2,2,4,2,2,
2,2,8,8,4,1,1,2,1,2,1,1,1,1,2,2,2,4,2,2,2,4,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[
1,1,6,4,4,4,1,2,1,1,1,1,2,2,1,2,2,2,1,2,2,4,2,2,2,4,4,2,2,2,1,1,1,1,2,1,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,4,2,1,2,2,2,2,2,2,2,2,2,2,4,1,
1,1,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,1,2,2,4,4,2,8,1,1,1,4,4,1,2,
1],[1,1,1,1,4,4,8,1,1,2,1,2,2,2,4,4,4,4,4,2,8,2,2,2,1,2,2,2,1,1,4,1,4,1,2,2,4,
4,1,1,1,1,1,1,1,1],[1,1,1,2,3,2,2,4,1,1,1,2,1,1,1,1,2,4,2,2,4,2,2,2,2,2,2,6,2,
1,1,1,1,2,1,3,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,6,4,4,1,2,1,1,2,2,
2,2,2,4,2,4,4,4,2,4,4,4,1,2,1,2,2,1,2,4,4,2,2,4,4,1,1,1,2,2,1],[1,1,6,2,2,8,1,
2,2,1,1,1,2,2,2,2,2,2,1,4,2,2,4,2,2,2,2,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,3,4,7,1,1,1,1,4,1,2,3,1,2,3,5,2,2,4,4,6,1,1,1,1,1,2,
2,1,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,5,4,1,1,2,3,5,3,4,4,2,2,4,4,8,
1,1,1,2,2,4,2,2,2,2,2,2,4,1,1,1,2,2,1],[1,1,1,1,4,2,2,4,2,1,1,1,2,4,2,2,2,2,2,
2,2,2,1,1,1,1,1,2,2,2,4,2,4,2,1,1,1,1,1,1,1,1],[1,2,3,2,4,1,1,1,4,6,4,2,4,1,2,
1,2,1,2,2,1,1,1,1],[1,2,3,2,4,1,1,1,4,6,2,4,4,1,2,2,1,1,2,2,1,1,1,1],[1,4,1,2,
4,4,4,1,1,1,2,1,1,4,2,1,2,2,1,2,2,2,4,2,2,2,4,2,2,2,2,1,1,1,1,2,1,2,1,1,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,2,3,8,4,12,1,1,1,2,2,1,1,3,1,2,3,3,4,1,
2,4,4,2,4,2,2,2,5,2,6,6,4,6,10,6,8,8,6,2,6,6,4,4,10,8,1,1,1,1,1,2,2,1,3,1,4,2,
3,2,1,3,2,2,1,2,2,1,1,3,2,6,4,6,4,2,2,2,2,6,2,4,2,2,2,2,2,6,4,4,2,4,4,2,4,2,2,
2,4,4,4,2,4,2,4,1,1,1,2,1,2,1,1,1,2,4,2,2,2,2,2,2,2,1],[1,1,1,6,7,2,2,4,2,1,1,
1,2,6,1,1,1,1,2,2,8,6,2,2,4,2,4,2,2,2,2,2,2,2,4,1,2,2,1,1,1,1,1,1,1,2,1,2,1,1,
2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,3,2,4,1,1,1,2,6,4,
4,4,1,1,2,1,2,2,2,1,1,1,1],[1,4,1,2,2,2,1,1,1,2,4,2,4,4,4,1,1,1,2,2,2,2,1,1,1,
1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,4,4,1,2,1],[1,1,3,3,2,2,4,4,1,3,3,1,1,2,2,
2,2,2,2,2,2,2,4,4,4,4,2,2,1,1,1,2,1,1,2,2,2,1,1,2,4,2,2,2,4,1,1,1,1,1,1,1,1],[
1,1,1,1,4,4,2,1,2,2,2,2,2,2,2,4,2,1,1,1,2,1,1,2,2,4,1,1,1,1,1,1,1,1],[1,6,3,6,
4,2,1,3,2,3,2,2,6,2,2,6,2,2,12,1,3,1,6,1,6,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
4,5,6,4,1,1,2,1,2,3,2,2,3,2,1,5,4,2,2,4,10,1,1,1,2,1,2,2,1,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,2,7,6,4,3,2,1,2,1,2,2,2,2,10,4,2,2,2,2,8,2,1,1,1,1,2,2,
1,4,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1],[1,1,3,4,7,1,1,1,1,4,1,1,3,2,4,2,4,2,6,2,8,
1,1,1,1,1,1,2,2,2,3,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,2,2,2,1,1,1,2,2,
2,2,2,2,4,2,1,1,1,2,2,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,3,2,2,1,1,1,4,4,
1,2,1],[1,1,3,4,7,1,1,1,1,4,1,1,3,2,4,2,4,2,2,6,8,1,1,1,1,1,3,2,2,2,1,2,1,1,2,
2,2,2,1,1,1,1,1,1,1,1],[1,4,1,2,4,1,2,4,2,2,4,1,1,1,4,4,1,2,1],[1,4,5,6,4,1,1,
2,1,2,3,2,2,3,2,1,5,4,2,2,4,10,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,3,3,8,4,1,3,3,4,2,2,2,2,2,12,12,2,1,2,1,1,6,1,6,1,2,2,4,4,1,1,1,1,
1,1,1,1],[1,5,2,4,2,1,2,4,2,4,1,1,1,4,4,1,2,1],[1,5,2,4,2,1,2,4,2,4,8,1,1,1,4,
4,1,2,1],[1,1,5,2,7,1,1,1,2,2,1,2,5,8,2,2,2,2,4,2,2,4,1,2,1,1,1,1,2,2,1,2,2,1,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,2,4,4,4,2,1,1,1,1,1,2,1,4,2,2,1,2,2,2,4,2,2,2,
4,2,2,2,2,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,1,
1,2,1,2,4,1,2,2,2,4,1,2,2,2,1],[1,1,2,6,2,4,4,1,2,1,1,2,2,2,2,2,2,4,4,4,2,4,4,
4,4,1,1,2,1,2,2,4,2,2,4,2,4,4,1,1,1,2,2,1],[1,6,3,6,4,1,1,1,2,4,8,2,2,2,4,4,2,
2,4,8,1,2,1,3,2,1,2,1,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,3,3,4,6,1,1,2,2,
3,3,3,3,3,6,6,6,2,2,2,2,1,2,2,3,3,1,1,1,6,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,
2,6,4,4,1,1,2,1,4,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,3,6,2,2,4,1,3,3,1,6,6,1,1,3,2,1,3,3,2,1,2,
2,2,2,2,4,2,2,2,4,6,3,1,1,1,1,2,3,1,3,1,1,3,1,1,1,1,1,1,2,1,1,2,2,1,1,1,1,1,2,
1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,5,2,7,2,2,4,1,1,2,3,2,5,
1,1,5,1,3,2,1,2,2,1,4,2,2,2,2,4,2,2,4,2,2,6,1,1,2,1,1,1,2,1,1,2,1,1,1,1,1,1,1,
1,2,1,1,1,2,2,1,2,1,1,1,1,1,2,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,3,3,3,4,6,1,1,1,2,3,3,3,3,2,6,6,6,2,2,2,2,2,3,3,3,1,1,1,2,6,1,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,3,3,3,4,6,1,1,3,1,1,3,1,2,2,2,6,6,2,2,2,2,2,2,2,2,2,3,1,1,
1,1,2,2,1,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,3,4,6,1,1,2,2,3,3,3,3,
3,6,6,6,2,2,2,2,1,2,2,3,3,1,1,1,6,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,5,5,4,2,
1,1,1,2,2,3,5,2,1,3,2,2,2,4,2,2,2,2,2,2,2,2,1,1,1,2,1,2,2,1,1,2,2,1,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,6,2,4,4,1,1,2,2,1,1,1,4,2,2,2,2,2,2,2,2,2,2,4,2,4,
4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,4,10,1,2,2,
2,2,2,1,1,5,1,1,1,4,6,2,2,2,2,2,2,2,2,2,1,1,1,2,1,2,2,2,2,1,1,2,1,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,2,5,1,4,6,1,1,2,1,1,2,2,1,1,1,2,2,6,4,2,2,4,2,2,2,2,2,2,2,
2,1,1,1,2,1,1,1,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,5,4,6,1,1,2,1,1,
2,2,1,1,1,4,2,2,2,6,4,2,2,2,2,2,2,2,2,1,1,2,1,2,1,2,1,2,1,2,1,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,
1,2,5,5,10,1,5,5,10,10,1,5,1,1,1,2,2,1,1,1,2,2,1],[1,6,3,6,16,2,1,3,2,3,6,6,
12,3,6,6,4,8,8,1,1],[1,3,3,3,6,16,1,1,1,2,3,3,3,3,6,6,6,3,3,3,6,4,4,4,8,1,1],[
1,1,3,3,4,1,3,3,4,4,1,6,1,4,1,1,1],[1,1,3,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,
1,3,3,12,4,1,3,3,6,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,3,3,6,6,4,1,3,3,3,3,
6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,12,4,1,3,3,6,6,6,6,4,8,1,3,
3,6,6,1,4,3,1,2,1],[1,1,2,3,3,6,4,1,1,3,3,6,3,6,6,6,4,8,1,3,2,3,6,1,4,1,1,2,
1],[1,1,3,3,8,4,1,3,3,4,12,12,4,8,1,2,6,6,1,4,1,1,2,1],[1,1,3,3,12,4,1,3,3,6,
6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,3,6,10,4,1,3,3,3,9,12,4,4,4,1,3,3,3,3,3,3,
1,4,3,1,1,1,1],[1,1,3,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,1,3,3,12,4,1,6,3,3,
6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,2,3,3,6,4,1,1,3,3,3,3,3,6,6,6,4,8,1,2,3,
3,6,1,4,1,1,2,1],[1,3,6,10,4,1,3,3,3,9,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,3,3,12,4,1,6,3,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,2,3,3,6,4,1,3,3,1,
6,6,3,3,3,6,4,8,3,1,1,1,3,3,3,1,4,1,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,6,6,4,
4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,4,1,3,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,
6,12,4,3,1,3,3,3,6,6,3,3,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,
3,3,3,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,3,6,3,
6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,3,3,6,4,1,1,3,3,3,3,3,6,6,6,4,8,1,2,3,3,6,1,
4,1,1,2,1],[1,1,3,3,6,6,4,1,3,3,3,3,3,6,6,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,3,3,6,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,
6,6,4,3,1,6,3,3,3,3,6,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,4,1,6,3,3,
6,4,1,3,3,1,4,3,1,1],[1,1,2,3,3,6,4,1,1,3,3,3,3,3,6,6,6,4,8,1,2,3,3,6,1,4,1,1,
2,1],[1,1,2,3,3,6,4,1,1,3,3,3,3,6,3,3,6,3,4,8,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,
1,2,3,3,8,6,1,1,4,4,3,3,6,6,6,6,1,1,1,2,2,2,2,4,3,3,3,6,1,1,1,1,1,1,1,2,2,2,2,
3,1,1,1,1,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,
10,6,5,1],[1,1,2,15,15,30,1,5,10,15,15,15,15,15,20,30,30,30,30,60,60,60,60,60,
120,5,10,10,15,15,15,15,20,20,20,20,30,30,30,30,30,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,120,120,5,6,10,10,15,15,20,30,30,30,30,30,60,60,60,60,60,60,60,
6,10,12,15,20,1],[1,1,2,3,3,6,1,1,3,3,3,3,3,6,6,6,12,12,1,2,3,3,6,6,6,6,6,6,6,
24,24,1,3,3,6,6,12,12,3,4,1],[1,1,2,3,3,6,12,12,24,1,1,3,3,3,3,3,4,4,6,6,6,6,
6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,1,2,3,3,3,3,4,4,6,6,6,6,6,6,8,8,8,8,8,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,
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,
24,24,24,24,24,24,24,24,24,24,24,24,1,3,3,4,4,4,6,6,6,6,6,6,6,6,8,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,3,4,6,6,8,12,12,12,1],[1,1,9,9,12,2,4,3,3,6,6,9,2,6,12,4,18,6,18,12,12,
12,36,2,4,3,3,3,2,6,6,12,6,18,12,6,12,6,6,6,12,12,6,12,12,12,1,1,3,3,3,6,6,6,
6,6,6,6,6,1,3,3,1],[1,1,9,9,12,8,2,4,3,3,6,6,9,2,6,12,4,18,6,18,12,12,12,12,
12,36,2,4,3,3,3,2,2,6,6,12,6,6,18,12,6,6,12,6,6,6,6,12,6,12,12,12,12,12,12,12,
1,1,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,2,3,3,6,1],[1,1,2,3,3,6,1,1,3,3,3,3,3,6,6,
6,12,12,1,2,3,3,6,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,6,6,6,6,3,4,1],[1,1,2,3,3,
6,4,4,8,1,1,3,3,3,3,3,6,6,2,2,6,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,1,2,
1,3,1,3,6,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,
8,8,8,8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,2,2,4,4,
1],[1,1,5,5,4,4,4,16,2,1,1,2,5,2,2,2,6,8,4,4,4,4,4,4,4,24,8,8,24,8,16,16,2,1,
1,1,1,1,4,2,2,2,2,2,2,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,12,4,8,8,8,8,8,8,8,8,8,8,
8,8,2,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,
2,2,2,4,4,4,4,4,4,1],[1,1,2,7,7,14,1,1,2,3,3,7,3,7,4,14,6,6,14,12,12,12,12,12,
8,8,24,1,2,2,1,7,1,3,4,4,4,4,6,2,6,2,2,4,4,12,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,
12,4,8,8,8,8,8,8,1,2,1,1,4,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,2,2,2,
4,4,1],[1,1,2,3,3,6,1,1,3,3,3,3,3,6,6,6,4,4,8,8,1,2,3,3,2,2,6,2,2,2,2,4,4,4,4,
4,4,8,8,8,8,8,8,1,1,1,2,2,2,2,4,4,4,4,4,4,4,4,1,2,4,1],[1,1,2,7,7,14,4,4,8,1,
1,2,3,3,7,3,7,4,14,6,2,2,6,14,4,4,12,4,4,4,12,4,12,4,12,4,4,4,4,12,8,8,8,8,8,
8,8,8,8,8,24,1,2,2,1,1,7,1,1,3,4,4,4,4,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,4,4,4,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,2,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,4,4,4,4,
4,4,1],[1,1,5,5,4,8,2,1,1,2,5,2,6,4,4,4,4,4,4,4,4,8,16,8,2,1,1,1,2,2,2,2,2,2,
2,8,4,4,8,8,4,4,8,8,1,1,1,2,4,2,4,4,4,4,1,2,4,1],[1,1,5,5,4,8,2,1,1,2,5,2,6,4,
4,4,4,4,4,4,4,8,16,8,2,1,1,1,2,2,2,2,2,2,2,4,4,4,4,8,8,8,16,1,1,1,2,4,2,4,4,4,
4,1,2,4,1],[1,1,5,5,4,4,4,2,1,1,2,5,2,2,2,6,8,4,4,4,4,4,4,4,8,8,8,2,1,1,1,1,1,
2,2,2,2,2,2,4,4,4,4,4,12,4,4,4,4,8,8,8,2,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,1,
2,2,2,4,4,1],[1,1,1,1,12,4,4,1,1,6,1,4,2,2,2,4,4,4,12,4,4,4,4,8,16,1,1,1,4,2,
2,2,2,2,2,2,2,4,4,4,8,8,8,8,8,1,1,1,2,2,4,4,4,4,4,1,2,4,1],[1,1,1,1,12,4,4,1,
1,6,1,4,2,2,2,4,4,4,12,4,4,4,4,8,16,1,1,1,4,2,2,2,2,2,2,2,2,4,4,4,8,8,8,8,8,1,
1,1,2,2,4,4,4,4,4,1,2,4,1],[1,1,1,1,12,8,8,8,1,1,6,1,2,4,2,2,2,2,2,2,6,4,8,6,
12,2,4,4,2,2,4,2,6,6,4,8,4,8,4,12,4,4,8,4,4,8,8,4,4,8,4,1,1,1,2,4,2,2,2,2,2,2,
2,2,2,2,4,2,2,2,6,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,4,4,8,4,4,4,4,4,4,8,4,4,4,4,4,
4,8,8,4,4,4,4,4,8,4,4,8,8,4,4,4,4,1,1,1,2,2,1,1,1,1,2,2,2,2,2,2,4,2,4,2,2,2,4,
2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,5,5,4,8,2,1,1,2,5,2,6,4,4,
4,4,4,4,4,4,8,8,2,1,1,1,2,2,2,2,2,2,2,4,4,4,4,8,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,
2,1],[1,1,1,1,12,8,8,1,1,6,1,4,2,4,4,4,4,12,4,4,4,4,4,4,4,8,4,4,4,1,4,2,2,2,2,
2,2,2,2,2,2,2,4,2,4,4,2,4,8,8,8,4,4,4,4,4,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,4,2,2,
4,2,4,2,2,2,2,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,4,4,4,8,1,1,2,1,2,2,2,4,4,4,4,
4,4,4,4,8,4,4,8,8,8,1,1,1,2,2,2,2,2,4,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,5,5,4,8,8,8,2,1,1,2,5,2,2,2,2,2,6,
2,2,4,6,8,6,2,4,4,2,2,4,4,2,6,6,8,4,8,4,12,4,4,8,4,4,8,8,4,4,8,4,8,2,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,2,6,2,2,2,2,4,2,2,2,2,4,4,2,4,2,2,2,2,4,4,8,4,
4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,8,8,4,4,4,4,4,4,4,1,1,1,2,1,1,1,2,1,2,2,2,2,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,5,
5,4,8,2,1,1,2,5,2,6,4,4,4,12,4,4,12,4,8,8,2,1,1,1,2,2,2,4,2,6,2,2,4,2,6,4,4,4,
4,4,4,8,4,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,4,4,8,1,1,2,
1,2,2,2,4,4,4,4,4,4,4,4,8,4,4,8,8,8,1,1,1,2,2,2,2,2,4,2,2,2,4,2,2,4,4,4,4,4,4,
4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,8,8,8,8,1,1,
2,1,2,2,2,2,2,4,2,2,6,8,6,2,4,2,2,4,2,6,6,8,4,4,4,8,12,4,4,8,4,4,4,8,8,4,8,4,
8,8,8,1,1,1,2,2,2,2,2,4,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,8,4,4,4,
4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,4,8,4,4,4,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,3,3,6,4,4,
8,1,1,3,3,3,3,3,6,6,2,2,6,4,4,4,4,4,4,4,4,4,4,4,8,8,4,8,8,8,8,8,8,8,4,8,1,2,1,
3,1,3,2,2,6,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,2,4,4,4,2,4,4,4,4,2,4,4,4,4,4,4,4,2,
2,2,8,8,8,8,8,4,8,8,4,4,8,4,1,1,1,1,1,2,1,2,2,1,2,2,2,4,2,2,4,4,2,2,2,2,2,2,2,
4,2,4,2,2,2,4,2,4,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,12,4,4,8,1,1,6,1,4,2,2,2,4,4,
4,4,4,12,4,4,4,4,4,4,8,4,4,8,8,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,2,2,
4,4,4,8,8,4,8,4,4,4,4,8,1,1,1,2,1,1,1,2,1,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,
1,1,1,2,2,2,2,2,2,1],[1,1,5,5,4,4,4,16,2,1,1,2,5,2,6,4,6,6,4,4,4,2,4,4,4,8,4,
4,4,4,2,4,12,12,8,4,4,4,4,8,4,4,4,4,4,8,4,8,8,2,1,1,1,2,2,2,2,2,2,2,4,2,4,4,4,
4,2,2,2,6,2,4,4,2,2,8,4,4,8,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,8,4,4,4,8,4,4,4,4,4,
4,4,4,4,4,4,4,1,1,1,1,2,1,1,1,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,
4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,1,4,4,4,1,1,2,1,2,2,2,4,4,4,4,4,4,8,4,4,8,1,
1,1,2,2,4,2,2,4,2,2,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,1,9,9,
12,8,2,4,3,3,6,6,9,2,6,12,4,18,6,18,12,12,12,4,12,8,36,2,4,3,3,3,2,2,6,6,12,2,
6,18,12,6,6,12,2,6,6,2,12,6,12,4,12,8,4,12,8,4,4,4,8,16,1,1,3,2,3,1,6,2,6,2,4,
4,6,6,2,2,2,2,2,2,4,8,4,8,1,1,1,2,2,2,2,4,1],[1,1,1,1,4,8,8,8,8,1,1,2,1,2,2,2,
2,2,4,2,2,6,8,6,2,4,2,2,4,2,6,6,8,4,4,4,8,12,4,4,8,4,4,4,8,8,4,8,4,8,8,8,1,1,
1,2,2,2,2,2,4,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,4,8,4,4,4,4,4,4,4,
4,4,4,4,4,4,8,8,4,4,4,4,4,8,4,8,4,4,4,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,7,7,14,4,4,8,1,1,2,
3,3,7,3,7,4,14,6,2,2,6,14,4,4,12,4,4,12,4,12,4,12,4,4,4,12,8,8,4,8,8,8,8,8,8,
8,4,8,24,1,2,2,1,1,7,1,1,3,4,4,4,4,6,2,6,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,12,2,4,
4,4,4,2,12,4,4,4,4,4,2,4,4,4,12,4,4,4,4,4,4,4,4,4,2,2,4,12,2,4,4,8,4,8,8,4,8,
8,4,4,4,4,8,4,8,4,8,4,4,4,4,4,4,4,4,4,4,1,2,1,1,1,1,4,2,1,2,2,1,2,2,2,2,4,2,4,
4,2,2,2,2,2,4,2,2,2,2,2,2,4,4,4,2,2,4,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,5,5,4,8,2,1,1,2,5,
2,6,4,4,4,12,12,4,12,4,8,2,1,1,1,2,2,6,4,2,6,6,6,4,2,6,4,4,4,4,4,4,1,1,1,1,3,
2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,5,5,4,4,4,2,1,1,2,5,2,2,2,6,4,4,4,4,4,4,
4,8,8,8,8,2,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,
2,4,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,8,8,8,1,1,2,1,2,2,2,2,2,4,2,2,6,8,6,2,4,2,2,
4,2,6,6,8,4,8,12,4,4,8,4,4,8,8,4,8,4,4,8,1,1,1,2,2,2,2,2,4,2,2,2,6,2,2,2,2,2,
2,2,2,4,2,2,2,2,2,4,8,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,8,4,4,1,1,1,1,1,
2,2,2,2,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,5,5,20,4,4,5,5,10,5,
10,10,2,2,10,4,4,4,30,10,20,4,4,20,4,8,4,20,1,1,5,10,10,10,2,2,10,2,2,2,10,10,
2,4,10,10,10,4,20,2,4,4,20,4,8,4,4,20,4,8,4,4,4,4,1,5,1,1,2,1,2,1,5,2,4,2,2,2,
2,4,2,10,2,10,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,9,9,12,2,4,3,3,6,6,
9,2,6,12,4,18,6,18,12,12,8,4,36,2,4,3,3,3,2,6,6,12,4,6,18,12,6,12,4,6,6,6,4,
12,12,2,12,12,4,1,1,3,1,3,2,6,6,4,4,2,6,2,6,2,2,4,4,1,2,1,1,2,1],[1,1,1,1,12,
4,4,16,1,1,6,1,4,2,4,6,6,4,2,12,4,4,8,4,4,4,4,4,4,2,4,4,12,12,8,4,4,4,4,8,4,4,
4,4,4,8,4,8,1,4,2,2,2,2,2,2,2,2,2,4,2,4,4,4,2,2,2,6,2,4,4,2,2,4,4,8,8,4,4,4,4,
4,4,4,4,4,4,8,8,4,4,4,4,8,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,4,4,2,
2,2,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,3,3,6,4,
4,8,8,1,1,3,3,3,3,3,6,6,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,8,4,8,
4,8,8,1,2,1,3,1,3,6,2,2,2,2,2,4,4,4,4,4,4,4,2,2,2,4,4,4,2,4,4,4,4,4,2,2,4,4,4,
4,4,4,2,2,8,4,4,8,4,8,8,4,4,4,8,4,8,4,4,4,4,8,8,1,1,1,2,2,1,2,1,1,1,2,4,2,2,2,
2,4,4,2,2,2,2,2,2,4,4,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,5,5,
20,8,5,5,10,5,10,10,4,4,10,30,4,10,4,20,4,4,20,8,4,4,20,5,10,10,2,10,2,2,2,2,
10,2,10,10,2,4,10,10,10,20,4,2,4,20,4,8,8,4,4,20,4,4,4,4,4,4,1,5,1,1,1,1,5,2,
2,2,2,2,4,2,2,2,4,10,10,2,4,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,4,4,4,1,1,
2,1,2,2,2,4,4,4,4,4,4,8,4,4,8,1,1,1,2,2,4,2,2,4,2,2,4,4,4,4,4,4,4,1,1,1,1,1,2,
2,2,2,2,2,2,1,1,1,1],[1,1,2,7,7,14,1,1,2,3,3,7,3,7,4,14,6,6,14,12,12,12,12,12,
8,8,24,1,2,2,1,7,1,3,4,4,4,4,6,2,6,2,2,4,4,4,12,4,12,4,4,4,4,12,4,4,4,4,4,4,
12,8,8,8,1,2,1,1,4,2,2,2,2,2,4,4,4,4,2,4,2,2,2,4,4,4,1,1,1,2,2,1],[1,1,2,7,7,
14,1,1,2,3,3,7,3,7,4,14,6,6,14,12,4,12,12,12,4,12,4,4,24,1,2,2,1,7,1,3,4,4,4,
4,6,2,2,2,6,2,2,2,2,2,2,4,4,12,2,4,2,12,4,2,4,4,12,4,4,4,2,2,4,12,2,8,8,4,8,4,
4,8,4,1,2,1,1,1,1,4,1,2,2,1,2,2,2,2,2,2,2,4,2,2,2,2,2,4,4,2,4,2,2,2,4,2,4,1,1,
1,2,2,2,2,2,2,1],[1,1,1,1,4,8,8,8,1,1,2,1,2,2,2,2,2,4,2,2,6,8,6,2,4,2,2,4,2,6,
6,8,4,8,12,4,4,8,4,4,8,8,4,8,4,4,8,1,1,1,2,2,2,2,2,4,2,2,2,6,2,2,2,2,2,2,2,2,
4,2,2,2,2,2,4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,8,8,4,4,1,1,1,1,1,2,2,2,
2,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,3,3,6,4,4,8,1,1,3,3,3,3,3,
6,6,2,2,6,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,1,2,1,3,1,3,6,2,2,2,2,2,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,8,8,4,4,4,8,8,4,1,1,1,2,2,2,2,2,
4,2,2,2,4,4,2,4,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,5,5,4,2,1,1,2,5,2,6,4,4,4,8,4,4,
4,8,2,1,1,1,2,4,4,2,4,6,4,4,2,2,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,1,5,
5,4,2,1,1,2,5,2,6,4,4,4,4,4,12,8,2,1,1,1,2,4,2,6,4,2,6,4,12,4,1,1,1,1,3,2,2,2,
2,2,2,1,1,1,1],[1,1,1,1,12,4,4,1,1,6,1,4,2,2,2,4,4,4,12,4,4,4,4,8,1,1,1,4,2,2,
2,2,2,2,2,2,4,4,4,8,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,1,9,9,12,8,2,4,3,3,
6,6,9,2,6,12,4,4,18,4,6,4,18,4,12,4,12,8,4,4,36,2,4,3,3,3,2,6,2,2,2,2,6,2,2,
12,6,18,2,12,4,6,12,6,6,4,12,2,12,8,4,12,4,8,4,4,12,4,4,4,4,4,4,1,3,1,1,1,2,1,
3,6,2,6,2,2,2,6,2,2,2,6,2,4,2,2,2,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,5,5,4,4,
4,2,1,1,2,5,2,2,2,6,4,4,4,4,4,4,4,8,8,8,8,2,1,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,1,9,9,12,4,4,2,4,
3,3,6,6,9,2,6,2,2,12,18,4,4,6,18,12,4,4,4,12,4,8,4,36,2,4,1,3,1,3,3,2,6,2,2,2,
6,2,2,12,4,6,4,18,2,4,12,6,12,4,6,6,4,4,12,2,12,4,4,12,4,4,4,12,4,4,4,4,4,1,3,
1,1,1,2,1,3,2,6,2,2,2,6,2,2,2,6,2,2,2,2,6,2,4,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,2,3,3,6,1,1,3,3,3,3,3,6,6,6,4,4,1,2,3,3,2,2,6,2,2,2,2,8,8,8,1,1,1,2,2,
4,4,4,4,4,1,2,2,2,1],[1,1,5,5,4,8,8,2,1,1,2,5,2,6,4,4,4,4,4,4,4,4,4,4,12,8,4,
12,4,8,2,1,1,1,2,2,2,2,2,2,2,2,2,4,6,4,2,6,2,4,4,6,2,8,8,4,4,4,4,4,8,8,1,1,1,
1,1,2,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,2,7,
7,14,8,1,1,2,3,3,7,3,7,4,14,6,6,14,4,4,12,12,12,12,12,12,4,12,4,24,1,2,2,1,7,
1,3,2,4,4,4,4,6,2,6,2,2,4,4,2,4,12,4,6,12,4,4,2,4,6,12,4,4,2,4,6,4,2,12,8,12,
4,4,8,4,4,4,4,4,8,1,2,1,1,1,1,4,2,2,1,1,2,2,2,2,4,2,2,2,2,2,2,4,4,4,6,2,2,2,6,
2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,3,3,6,8,1,1,3,3,3,3,3,6,6,6,4,4,4,4,4,
4,4,4,1,2,3,3,2,2,6,2,2,2,2,4,2,2,2,2,8,4,4,4,4,4,4,4,4,8,4,1,1,1,2,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,5,5,4,2,2,12,4,
1,1,2,3,5,1,1,3,6,2,4,2,2,2,4,2,2,2,2,2,2,14,2,4,4,4,4,14,6,8,8,8,1,1,2,1,1,1,
1,1,2,2,2,1,1,1,4,2,7,2,2,2,2,1,1,1,6,2,2,3,2,2,4,4,4,2,4,2,2,2,2,4,6,2,4,2,6,
2,2,4,4,2,8,8,4,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,3,2,1,1,1,1,1,1,2,1,1,1,1,2,
2,2,2,4,2,4,2,2,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,3,8,1,3,3,4,6,6,
4,4,4,1,3,3,2,2,12,4,4,4,4,3,1,1,2,2,2,1,1,1,1],[1,1,5,5,4,2,2,4,4,1,1,2,3,5,
1,1,3,2,6,4,2,2,2,4,2,2,2,2,2,2,2,6,4,4,4,4,2,2,8,1,1,1,1,1,1,1,2,2,3,1,1,4,2,
2,1,2,2,2,2,2,1,2,7,1,2,2,1,2,2,4,2,4,2,2,2,2,4,2,2,2,2,2,2,4,4,2,4,1,1,1,1,1,
1,1,1,1,1,1,2,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,6,3,6,4,8,2,1,3,2,2,3,6,4,2,6,4,8,8,4,4,12,8,1,1,1,3,
2,6,2,6,3,2,2,2,1,1,2,4,6,2,4,2,2,8,2,4,2,4,4,1,1,1,2,2,3,3,1,1,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,3,3,6,6,12,1,3,3,1,1,3,3,4,2,3,6,6,3,6,6,3,3,6,3,3,6,
4,6,12,12,12,12,6,6,6,6,6,4,4,1,1,1,3,3,2,6,3,3,2,3,2,3,6,6,6,2,2,3,3,3,3,3,3,
2,6,6,6,2,6,12,6,6,2,2,6,6,2,6,2,4,6,6,6,6,1,1,1,3,3,3,1,3,2,3,1,2,3,2,2,2,2,
2,2,2,6,2,2,6,2,1,1,1,1,1,1,1,1],[1,1,3,3,6,6,8,12,1,3,3,1,1,3,3,4,2,3,6,6,3,
6,6,3,3,6,3,3,6,4,6,12,12,12,12,4,6,6,6,6,6,4,8,4,8,4,1,1,1,3,3,2,6,2,3,3,3,2,
3,6,6,6,3,3,3,3,3,3,2,2,2,6,6,6,4,2,6,4,12,6,6,2,2,6,4,6,2,4,4,6,2,6,6,6,6,4,
4,4,8,4,4,4,4,4,1,1,1,3,3,2,3,1,3,3,1,2,3,2,2,2,2,2,2,2,2,2,2,4,6,2,2,2,2,2,4,
2,2,6,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,2,7,6,4,8,3,2,1,2,2,1,2,10,4,2,4,2,4,8,8,
4,4,8,8,1,2,1,1,1,2,2,2,2,2,2,3,1,1,2,4,4,4,4,2,2,4,2,4,6,2,4,4,2,2,4,1,1,1,2,
2,2,2,1,2,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,6,6,8,12,1,1,1,1,
1,2,1,1,2,4,4,2,2,2,3,6,2,2,3,6,2,3,3,2,3,3,2,6,4,4,6,4,4,4,4,12,4,4,4,4,6,6,
12,6,6,6,8,4,8,4,1,1,1,1,1,2,4,2,2,2,2,2,2,2,6,2,3,3,1,2,2,2,1,2,2,1,1,1,2,1,
2,2,1,1,2,2,2,2,2,4,2,2,2,4,2,2,2,2,4,6,4,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,4,
2,6,2,2,6,6,4,2,6,2,2,2,2,4,4,4,4,4,4,8,4,4,1,1,1,1,1,2,1,1,1,1,1,1,2,2,2,2,4,
2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,5,10,15,4,4,5,5,5,5,5,10,5,2,5,5,2,2,5,2,4,15,25,20,2,2,10,4,6,4,4,2,
4,30,1,5,5,5,5,5,1,1,5,5,1,2,5,2,5,1,10,10,2,15,2,2,2,10,5,2,5,2,5,2,3,15,5,2,
2,2,2,10,2,2,2,2,20,4,2,4,6,2,4,2,2,2,6,2,2,1,1,1,1,1,5,1,1,5,1,5,2,1,1,2,1,1,
5,1,2,5,1,1,3,1,2,5,2,1,1,1,1,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,5,10,4,5,2,2,10,10,10,4,4,8,1,5,1,2,10,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,
1],[1,6,3,6,4,8,2,1,3,2,2,3,6,2,4,6,4,8,4,8,4,12,8,1,1,1,3,2,6,2,2,6,3,1,2,1,
2,4,4,2,4,4,6,2,2,2,8,2,2,4,1,1,1,2,3,2,2,3,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,4,1,2,6,2,8,4,1,2,1,1,2,2,4,2,2,2,2,2,8,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,
2,2,1,2,1,2,2,2,2,1,2,4,2,2,2,4,2,4,2,4,2,4,2,2,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,1,10,4,1,2,4,2,6,2,8,2,4,8,4,4,8,1,1,
1,2,4,4,2,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,4,1,10,4,1,2,4,2,6,2,4,8,2,8,
4,4,8,1,1,1,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,3,3,6,2,2,12,4,
1,1,3,3,6,1,1,3,6,6,6,2,2,2,2,6,2,2,2,6,14,2,4,4,4,14,4,2,8,8,1,3,2,2,3,1,1,1,
1,6,2,2,2,2,1,1,1,2,7,1,7,1,6,2,1,6,2,2,4,4,2,2,2,2,2,14,2,4,2,2,2,4,4,4,2,4,
4,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,7,1,1,2,6,1,1,2,4,4,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,7,6,4,8,3,2,1,2,2,1,4,2,10,4,2,2,
4,8,4,8,4,8,8,1,2,1,1,1,2,2,2,3,2,2,2,1,2,1,4,2,2,4,2,4,6,2,4,4,4,2,2,4,4,4,1,
1,1,2,2,2,1,2,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,2,2,6,8,4,2,1,2,1,1,
2,2,4,2,2,2,2,4,4,4,4,4,4,12,4,4,4,4,4,1,2,1,1,2,1,2,1,2,2,1,2,2,1,2,2,2,2,4,
2,4,2,4,2,4,4,2,4,2,4,4,4,4,1,1,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,2,3,3,6,2,2,4,4,1,1,3,3,6,1,1,3,6,2,2,2,2,2,2,6,2,2,2,6,2,6,4,4,4,2,
4,6,1,3,2,3,1,1,1,1,2,2,2,2,3,1,1,2,2,1,2,1,2,1,1,2,3,6,2,2,4,4,2,2,2,2,2,2,2,
2,2,2,4,4,4,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,2,1,1,1,2,1,1,1,1,2,1,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,1,2,4,8,1,2,2,4,2,2,4,2,
4,4,4,4,4,4,4,8,1,1,1,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,10,4,5,
2,2,4,10,10,10,4,8,1,5,1,10,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,6,7,4,8,
12,2,1,1,1,2,2,6,1,3,1,1,2,3,3,2,2,5,2,2,2,8,6,4,4,2,2,2,4,4,1,10,6,6,8,6,6,6,
2,4,4,10,6,6,6,2,8,8,2,4,4,1,1,2,2,1,1,1,1,1,1,1,2,2,3,1,3,2,1,2,1,2,3,1,2,2,
2,2,2,2,4,1,2,2,1,3,1,2,2,2,2,3,2,2,4,4,4,6,4,2,2,2,6,2,2,4,2,2,4,4,2,4,2,2,2,
2,2,2,2,4,6,4,4,2,2,4,2,2,2,4,2,6,2,2,4,2,2,2,6,2,2,4,4,6,2,1,1,1,1,1,1,1,1,1,
1,1,2,1,2,1,1,2,2,1,1,3,1,1,1,2,1,2,1,1,2,1,1,1,1,2,2,4,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,9,6,15,4,4,2,1,3,3,3,5,6,9,2,9,
9,2,2,21,2,4,15,9,12,2,2,18,4,2,4,4,6,4,30,2,1,3,1,1,4,3,3,1,1,3,3,1,2,9,2,9,
3,6,2,6,2,3,12,2,2,6,9,12,2,9,2,9,2,1,2,3,9,2,2,2,18,2,2,2,4,2,12,6,4,4,2,2,2,
6,2,2,2,2,1,1,1,1,3,1,1,1,3,1,3,1,1,3,1,3,1,6,2,2,3,1,1,1,1,6,3,2,1,2,1,2,1,1,
4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,8,1,1,1,2,2,4,
4,2,2,4,4,4,4,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,5,2,6,2,8,
4,2,1,2,1,1,2,2,2,4,2,2,2,4,4,4,4,12,4,4,4,4,4,4,4,1,2,1,1,1,2,2,1,2,2,1,2,2,
2,1,4,4,2,4,2,2,2,2,4,4,2,4,2,2,4,4,4,4,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,1,6,7,8,4,12,2,1,1,1,2,2,6,1,1,3,1,2,3,3,4,2,1,2,2,4,8,
6,4,2,4,2,2,2,2,5,2,6,6,4,2,6,10,6,8,8,6,2,6,6,6,4,4,10,8,4,1,1,2,2,1,1,1,1,1,
1,1,2,2,1,3,1,2,2,4,2,3,2,3,2,1,3,2,2,2,2,1,2,2,2,1,1,3,2,2,2,1,6,4,6,4,6,4,2,
2,2,2,6,2,6,2,2,4,2,2,2,2,4,2,2,2,2,2,6,4,4,4,2,4,2,4,2,4,2,2,2,2,4,4,2,4,2,2,
2,2,4,2,4,2,2,1,1,1,1,1,1,1,1,1,3,2,1,2,1,1,1,2,1,2,1,1,1,1,1,2,1,2,1,2,1,1,1,
1,1,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
2,1,1,2,6,6,12,1,1,1,1,1,2,1,1,2,2,2,2,3,6,2,2,3,6,2,3,3,2,3,3,2,6,4,4,6,4,4,
4,4,12,4,4,4,6,6,12,6,6,6,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,6,3,3,2,1,2,2,2,1,2,
2,1,1,1,2,1,2,2,1,1,2,2,2,2,2,4,2,2,2,4,4,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,2,6,2,2,6,6,2,6,2,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,4,1,2,2,6,8,4,1,2,1,1,2,2,4,2,2,2,
2,2,4,8,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,2,1,2,2,2,1,2,2,2,1,2,2,2,4,2,4,4,2,4,
2,4,4,2,2,4,4,4,4,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
5,2,7,8,4,12,1,1,1,2,2,2,1,1,3,2,5,2,3,3,8,4,2,1,2,2,4,2,4,2,4,2,2,2,2,5,4,2,
6,6,4,6,6,10,6,8,8,6,2,6,6,2,4,4,10,8,4,1,1,2,1,1,1,1,1,1,1,2,2,1,2,3,1,2,2,4,
2,3,2,1,1,3,2,2,2,2,2,2,1,2,2,1,1,3,2,2,2,3,4,2,6,4,6,4,2,2,2,2,2,6,2,4,4,2,2,
2,2,2,2,2,6,2,6,2,4,4,2,2,4,4,2,4,2,2,2,2,2,4,4,2,2,4,2,2,2,2,4,2,4,6,4,1,1,1,
1,1,1,1,1,1,2,2,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,3,2,2,1,2,1,2,2,4,2,2,2,2,2,
4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,2,4,8,2,1,2,2,4,2,4,
2,4,8,4,4,4,4,4,4,1,1,1,2,4,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,9,6,
15,4,4,2,1,3,3,3,5,6,9,2,9,9,2,2,21,2,15,9,12,2,2,4,18,6,4,4,4,4,2,30,2,3,1,1,
1,4,3,3,1,1,3,3,1,9,2,2,9,2,1,2,6,2,6,2,3,2,12,6,9,12,2,9,9,2,3,3,9,2,2,2,2,2,
18,6,4,2,2,2,6,2,12,2,2,2,2,2,2,4,4,1,1,3,1,1,1,1,1,3,3,1,2,1,1,1,3,1,6,1,3,1,
2,6,3,1,2,2,2,3,1,1,1,1,1,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,1,2,1,1,2,1,1,1,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,
1],[1,1,5,10,15,4,4,5,5,5,5,5,10,5,2,5,5,2,2,5,2,15,25,20,2,2,4,10,2,4,4,4,4,
6,30,1,5,5,5,5,5,1,1,5,5,1,5,2,2,5,2,3,2,10,2,2,10,2,15,10,5,2,5,5,2,1,2,15,5,
2,6,6,2,4,10,2,4,2,2,2,2,2,4,20,2,2,2,2,2,2,1,1,1,1,5,5,1,1,1,2,2,5,1,2,1,3,1,
5,1,1,5,2,1,2,5,1,1,1,1,1,1,1,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,4,1,2,4,8,1,2,2,4,2,2,2,4,4,4,4,4,4,4,4,8,1,1,1,2,2,4,4,4,4,4,4,4,4,1,1,
1,2,2,2,2,1,1,1,1],[1,1,3,3,1,3,3,4,6,6,4,1,3,3,2,2,12,4,4,3,1,1,2,2,2,1,1,1,
1],[1,1,5,2,7,4,8,12,1,1,1,2,2,2,1,3,1,2,5,2,3,3,8,2,2,5,2,2,2,2,4,4,2,2,2,4,
4,1,4,10,6,6,8,2,6,6,2,4,4,10,6,6,6,6,8,8,2,4,4,1,1,2,1,1,1,1,1,1,1,2,2,3,2,1,
3,2,2,2,1,2,3,3,1,2,2,2,2,2,4,2,1,2,1,3,1,2,2,2,2,1,4,2,2,4,4,4,6,4,2,2,6,2,4,
2,2,4,2,4,2,2,2,4,2,2,2,2,2,4,6,2,4,4,2,4,2,2,2,4,2,6,6,2,2,2,2,2,2,2,2,6,4,4,
2,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,2,3,1,2,1,1,2,1,1,1,1,1,1,2,1,1,1,2,1,2,4,2,4,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,2,4,8,2,1,2,
2,2,4,2,4,4,4,8,4,4,4,4,4,1,1,1,2,4,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,
5,10,5,10,10,10,16,5,10,1,1],[1,1,2,5,5,10,1,5,5,10,10,10,10,1,5,5,5,1,1,1,2,
2,5,1,1,1,2,2,2,2,1,1,1,1],[1,6,3,6,12,16,2,1,3,2,6,3,6,6,12,6,12,12,16,3,3,3,
6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,9,9,12,16,2,4,3,3,6,6,9,2,6,
12,18,6,18,12,12,36,16,2,4,3,3,3,2,6,6,12,6,18,12,6,12,6,6,12,12,12,12,4,8,8,
1,3,3,6,6,6,6,4,8,8,1,1,1],[1,6,3,6,12,16,2,1,3,2,6,3,6,12,6,6,12,12,16,3,3,3,
6,6,6,6,6,12,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,3,3,6,6,12,16,1,3,3,1,1,3,3,2,
3,6,6,3,6,6,3,3,6,3,3,6,6,12,12,12,12,6,6,6,6,6,16,1,1,1,3,3,2,6,3,3,3,3,6,6,
6,3,3,3,3,3,3,6,6,6,6,12,6,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,
1,1,1],[1,6,3,6,12,16,2,1,3,2,3,6,6,6,6,6,6,6,6,12,16,3,3,3,6,3,6,3,6,6,6,6,6,
6,4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,6,3,6,12,16,2,1,3,2,3,6,6,12,6,6,12,12,
16,3,6,6,3,3,12,6,6,6,12,4,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,9,6,15,16,2,1,3,3,3,
5,6,9,9,9,21,15,9,12,18,30,16,2,3,1,1,4,3,3,3,3,9,9,6,6,3,12,6,9,12,9,9,3,9,
18,12,4,8,8,1,3,3,3,3,6,3,6,3,4,4,4,8,1,1,1],[1,1,3,3,16,1,3,3,6,6,16,1,3,3,
12,4,3,4,1,1],[1,6,3,6,4,16,2,1,3,2,3,6,6,6,6,12,16,1,3,6,6,3,6,6,4,8,8,1,3,3,
4,1,1,1],[1,1,3,3,6,6,12,16,1,1,1,3,3,2,3,3,3,3,6,3,3,3,6,3,3,3,6,6,6,6,6,12,
6,6,12,6,6,6,6,6,6,16,1,1,1,1,1,6,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,6,3,6,6,6,
3,3,3,3,3,3,3,6,6,3,3,3,3,3,6,6,3,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,1,1,
1],[1,3,3,3,12,6,16,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,16,3,3,3,3,3,3,6,6,3,6,
6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,3,3,8,12,4,1,3,3,4,6,6,6,6,6,
12,12,6,4,8,8,1,2,3,3,6,3,6,3,6,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,
1],[1,1,3,3,16,1,3,3,6,6,16,1,3,3,6,6,4,3,4,1,1],[1,1,3,3,6,6,20,4,1,3,3,3,3,
10,6,6,6,18,6,18,24,24,4,4,4,8,8,1,2,3,3,6,3,3,3,9,3,3,6,6,6,12,6,6,12,6,6,12,
6,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,3,3,6,6,4,
1,3,3,3,3,10,6,6,6,6,4,4,4,1,3,3,3,3,3,9,3,3,12,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,
3,1,1,1,1],[1,1,2,3,3,6,12,4,1,1,3,3,6,3,6,6,6,6,6,6,6,6,6,4,8,8,1,3,2,3,6,3,
3,3,3,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,2,3,3,6,8,4,1,
1,3,3,6,3,6,4,4,6,6,12,12,4,8,8,1,3,2,2,3,4,6,6,6,6,12,1,4,4,4,1,1,1,6,6,1,2,
2,4,1,1,1,1,1],[1,1,3,3,12,12,4,1,3,3,6,4,6,6,6,6,6,6,6,4,8,8,1,3,3,3,3,6,6,6,
6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,2,3,3,6,6,6,12,4,1,1,3,3,
6,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,8,8,1,3,2,3,3,3,3,3,6,6,6,3,3,6,
3,3,6,6,12,6,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,
2,2,1],[1,1,2,3,3,6,12,4,1,1,3,3,3,3,3,6,6,6,6,6,6,6,6,6,4,8,8,1,2,3,3,6,6,3,
3,3,3,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,4,2,2,3,1,1,1,1],[1,1,2,3,3,12,6,4,1,
1,6,6,3,3,3,3,3,6,6,6,6,6,6,6,4,8,8,1,6,2,3,3,3,3,3,6,3,6,6,6,6,6,1,4,4,4,1,3,
3,3,3,3,3,1,2,4,2,3,1,1,1,1],[1,1,2,3,3,6,6,6,12,4,1,3,3,1,6,6,3,3,3,6,3,3,3,
6,3,6,6,6,6,6,12,6,6,6,12,6,4,4,4,8,8,3,1,1,1,3,6,3,3,3,3,3,3,3,3,3,3,3,3,6,3,
3,6,6,3,3,3,3,3,6,3,3,6,3,3,3,3,3,1,4,4,4,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,
1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,3,3,12,6,4,1,1,6,6,3,3,3,3,3,6,6,6,6,
6,6,6,4,8,8,1,2,6,3,3,3,3,3,6,3,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,4,2,3,1,1,
1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,
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],[1,15,10,
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],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,
30,10,5,15,15,6,10,20,5,6,12,10,5,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,
6,6,6,5,10,6,5,1,1],[1,1,2,15,15,30,8,1,5,10,15,15,15,15,15,20,30,30,30,30,4,
4,60,60,60,60,60,12,12,12,12,120,5,10,10,15,15,15,15,2,20,20,20,20,30,30,30,
30,30,4,60,6,60,60,60,6,60,60,60,6,60,6,60,60,60,6,60,6,60,6,60,120,12,12,12,
120,12,12,12,12,12,24,5,6,10,10,1,1,15,15,20,30,30,3,30,3,30,30,6,60,6,6,60,6,
6,6,6,6,60,6,60,60,6,60,6,60,6,6,6,6,6,6,6,6,6,12,12,12,12,6,1,10,12,15,20,2,
3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,12,1,1,1,3,3,3,3,1],[1,1,2,7,7,14,4,4,8,1,1,2,3,
3,7,3,7,4,14,6,2,2,6,14,4,4,12,4,4,4,12,4,12,4,12,4,4,4,4,12,8,8,8,8,8,8,8,8,
8,8,24,1,2,2,1,1,7,1,1,3,4,4,4,4,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,16,1,2,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,4,4,
4,4,4,4,4,4,4,4,4,4,4,1,2,2,2,1],[1,1,2,7,7,14,4,4,8,1,1,2,3,3,7,3,7,4,14,6,2,
2,6,14,4,4,12,4,4,4,12,4,12,4,12,4,4,4,4,12,8,16,8,8,8,8,8,8,8,8,8,16,24,1,2,
2,1,1,7,1,1,3,4,4,4,4,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,8,4,4,4,
12,4,4,4,4,12,4,4,4,4,4,4,8,4,4,4,12,4,4,4,4,4,4,8,4,4,4,4,4,8,12,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,16,8,1,2,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,
2,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,8,8,8,1,1,1,
1,1,1,1,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,7,7,14,4,4,8,1,1,2,3,
3,7,3,7,4,14,6,2,2,6,14,4,4,12,12,4,4,12,4,12,4,12,4,12,4,4,12,8,8,8,8,8,8,8,
8,8,8,8,8,24,1,2,2,1,1,7,1,1,3,4,4,4,4,6,6,2,6,6,2,6,2,6,6,2,2,2,6,2,2,4,4,4,
4,4,4,4,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,
4,4,12,4,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,1,2,1,1,1,3,3,1,4,2,2,2,2,
2,6,2,2,2,2,2,2,6,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,12,8,8,8,8,8,8,8,8,1,1,1,1,1,1,3,4,2,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,7,7,14,12,12,24,1,1,2,3,3,7,
3,7,4,4,4,14,6,6,6,6,14,8,12,12,12,12,4,12,12,12,12,12,12,12,12,12,12,12,4,12,
12,12,12,12,24,24,24,24,8,24,24,24,24,24,24,24,24,24,8,24,24,24,24,24,1,2,2,3,
1,7,3,1,3,4,4,4,4,4,4,6,2,2,2,6,6,2,6,2,2,2,2,6,2,6,6,8,8,8,8,8,12,4,12,12,12,
12,12,12,12,4,4,4,12,4,12,12,12,4,12,12,4,12,12,12,12,12,4,4,4,4,12,4,12,12,
12,12,4,12,12,4,12,4,12,12,4,12,12,4,12,12,4,4,12,4,8,8,8,24,24,24,24,24,24,
24,8,8,24,24,8,24,8,24,24,24,24,8,24,8,8,24,24,8,8,8,8,24,24,8,24,24,24,24,8,
8,24,8,24,24,24,24,24,24,8,8,24,24,24,8,8,24,8,24,8,8,24,8,24,24,24,8,8,8,8,1,
2,1,1,3,1,1,3,4,4,4,4,6,2,2,2,2,2,2,6,2,2,6,2,6,2,2,2,6,2,6,2,2,6,2,2,2,2,6,8,
12,4,12,12,4,12,4,12,12,12,12,12,4,4,4,4,4,4,4,12,4,4,4,12,4,4,4,4,4,4,12,12,
4,4,12,4,12,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,24,8,
24,8,24,8,24,8,24,24,8,8,8,24,8,24,8,24,8,24,24,8,24,8,8,8,8,8,8,8,8,8,8,24,8,
8,24,8,24,24,1,1,1,1,3,1,1,4,2,2,2,6,2,2,2,2,2,2,2,2,2,6,2,2,2,8,4,4,4,4,4,4,
12,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,8,8,1,1,1,2,
2,2,2,2,2,4,4,4,4,1],[1,1,2,15,15,30,4,4,8,1,5,10,15,15,15,15,15,20,30,30,2,2,
30,30,4,4,60,4,4,4,60,4,60,4,60,4,4,4,4,60,8,8,8,8,8,8,8,8,8,8,8,8,120,5,10,
10,1,15,15,1,15,15,20,20,20,20,30,2,30,2,30,2,2,2,2,2,30,30,2,2,2,2,4,60,4,4,
4,4,4,4,60,4,60,4,4,4,60,4,4,60,4,4,4,4,60,4,60,4,4,60,60,60,4,4,4,60,4,4,60,
4,4,4,4,60,60,4,8,8,8,8,8,8,8,120,8,8,8,8,8,8,8,8,8,8,8,120,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,5,6,10,10,15,15,1,1,1,1,20,2,2,2,2,2,30,2,2,2,2,2,30,2,2,30,2,2,
2,30,2,2,2,2,30,2,4,4,4,60,4,4,4,4,4,4,4,4,4,4,4,60,4,4,4,60,4,4,4,4,4,4,4,4,
60,4,4,4,4,60,4,4,4,4,60,60,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,6,10,12,1,1,1,1,1,15,1,20,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1],[1,1,2,7,7,14,4,4,16,8,1,1,2,3,3,7,3,7,4,
14,6,2,2,6,14,8,8,4,4,12,4,4,4,12,4,12,4,12,4,4,4,4,12,24,8,8,8,8,8,8,8,8,8,8,
24,8,8,24,16,16,1,2,2,1,1,7,1,1,3,4,4,4,4,4,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,8,
4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,
4,4,4,4,4,4,4,4,12,4,4,4,12,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,16,16,16,1,2,2,2,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,
2,2,2,2,4,4,4,4,1],[1,1,2,7,7,14,4,4,8,1,1,2,3,3,7,3,7,4,14,6,2,2,6,14,4,4,12,
4,4,4,12,4,12,4,12,4,4,4,4,12,8,8,8,8,8,8,8,8,8,8,24,16,16,1,2,2,1,1,7,1,1,3,
4,4,4,4,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,12,4,4,
4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,1,2,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,2,2,4,4,
4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,3,3,6,8,1,1,3,3,3,3,3,6,6,6,4,4,4,4,4,
4,8,4,8,4,1,2,3,3,2,2,6,2,2,2,2,4,2,4,2,4,4,2,4,4,2,4,8,4,8,4,4,4,4,4,4,8,4,8,
8,4,8,8,1,1,1,2,2,2,1,1,1,1,2,2,2,2,4,2,4,2,2,4,2,4,4,2,2,4,2,2,4,2,4,4,4,4,4,
4,1,1,1,1,1,2,1,1,2,2,4,2,2,2,2,2,1,1,1,2,2,1],[1,1,5,5,4,8,8,16,8,2,1,1,2,5,
2,2,2,2,2,6,8,2,2,4,6,8,6,2,4,4,2,2,4,4,2,6,6,8,24,4,8,8,4,12,4,4,8,4,4,24,8,
8,4,4,8,4,8,16,8,16,8,2,1,1,1,1,1,2,4,2,2,2,2,2,2,2,2,4,4,2,2,4,4,4,4,2,4,6,2,
12,2,2,2,4,4,2,4,2,2,2,4,4,2,4,4,2,12,2,2,4,2,4,4,4,8,4,8,4,4,4,4,8,8,4,4,4,4,
4,4,4,4,4,4,8,8,8,8,8,4,4,4,4,4,4,8,8,8,8,8,8,4,4,4,8,4,4,4,8,4,8,8,8,8,8,8,8,
8,2,1,1,1,2,2,2,2,2,1,2,1,1,2,1,2,2,2,2,2,2,2,4,4,4,2,2,2,2,4,2,4,4,2,2,2,2,2,
2,4,2,4,2,2,4,2,2,4,4,4,4,2,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,4,4,8,4,
4,8,8,4,8,8,4,8,8,1,2,2,1,1,1,1,1,1,2,1,1,2,2,4,4,2,2,4,4,2,2,2,2,4,2,2,2,4,2,
2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,5,5,4,4,4,16,2,1,1,2,5,2,6,4,6,
6,4,4,4,2,4,4,4,8,4,4,4,4,2,4,12,16,12,8,4,4,4,4,8,4,4,4,4,4,8,4,8,8,2,1,1,1,
2,2,2,2,2,2,2,4,2,4,4,4,8,4,2,2,2,6,8,2,8,4,4,2,2,8,4,4,8,8,4,4,4,4,4,4,4,4,8,
4,4,4,4,4,8,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,2,1,4,1,1,2,2,2,2,2,4,2,
2,2,2,2,2,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,1,1,2,2,2,2,2,2,4,2,
1,1,1,2,2,1],[1,1,1,1,12,8,8,8,8,1,1,6,1,2,4,2,2,2,2,4,4,2,2,6,4,8,6,12,2,4,4,
2,2,4,2,6,6,4,8,4,4,4,8,4,12,4,4,8,4,4,4,8,8,4,4,8,4,4,8,16,8,1,1,1,2,4,2,2,2,
2,2,2,2,2,2,2,4,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,4,4,8,4,
4,4,8,4,4,4,4,4,4,8,4,4,4,4,8,4,4,8,4,8,8,4,4,4,4,4,8,4,8,4,4,4,8,4,8,4,4,4,4,
4,8,8,8,8,8,1,1,1,2,1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,4,2,4,4,2,2,4,2,2,2,2,2,
2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,3,
3,6,4,4,8,8,1,1,3,3,3,3,3,6,6,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,
8,8,4,8,8,4,8,8,8,8,1,2,1,3,1,3,6,2,2,2,2,2,4,4,4,4,4,4,4,2,2,4,2,4,4,4,2,4,4,
4,4,4,4,4,2,2,4,4,4,4,4,4,4,4,2,2,4,4,8,4,4,8,4,4,8,8,8,4,4,4,4,4,4,8,4,8,4,4,
4,8,4,8,8,4,8,8,1,1,1,2,2,2,2,1,2,2,1,1,2,1,2,2,2,2,4,2,2,2,2,2,2,2,4,4,2,2,4,
4,2,4,2,4,2,4,4,2,2,4,4,2,4,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,2,1,2,1,2,
1,1,2,2,4,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,1,2,7,7,14,8,1,1,2,3,3,7,3,7,
4,14,6,6,14,4,4,12,12,12,12,12,12,12,8,12,8,12,24,1,2,2,1,7,1,3,2,4,4,4,4,6,2,
6,2,2,4,4,6,4,12,4,4,6,4,12,4,4,4,6,4,6,12,4,4,6,4,4,6,4,4,6,12,4,8,8,12,4,4,
8,4,4,4,8,4,12,8,8,8,1,2,1,1,1,1,4,2,2,2,2,2,2,2,3,3,2,2,2,2,2,4,4,4,6,4,2,2,
2,2,4,2,4,4,4,4,4,2,4,6,2,2,2,2,2,2,6,2,6,4,4,4,4,4,1,1,2,1,1,1,2,1,2,1,3,1,2,
2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,5,5,20,4,4,5,5,10,5,10,10,2,2,10,4,
4,4,30,10,20,4,4,20,4,8,4,20,16,1,1,5,10,10,10,2,2,10,2,2,2,10,10,2,4,10,10,
10,4,20,2,4,8,4,20,4,8,4,4,8,8,20,4,8,4,4,4,4,8,1,5,1,1,2,1,2,1,5,4,2,4,4,2,2,
2,2,4,4,2,10,2,10,2,2,2,4,4,4,4,4,4,4,1,1,2,1,1,1,1,1,2,2,2,2,2,2,4,2,1,1,1,2,
2,1],[1,1,5,5,20,4,4,5,5,10,5,10,10,2,2,10,4,4,4,30,10,20,4,4,20,4,8,4,20,16,
1,1,5,10,10,10,2,2,10,2,2,2,10,10,2,4,10,10,10,4,20,2,4,4,8,20,4,8,4,4,8,20,4,
8,8,4,4,4,4,8,1,5,1,1,2,1,2,1,5,4,2,4,4,2,2,2,2,4,2,10,2,10,2,2,2,4,4,4,4,4,4,
4,4,1,1,1,1,2,1,1,1,2,2,4,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,3,3,6,8,1,1,3,3,3,3,3,
6,6,6,4,4,12,12,4,4,4,4,1,2,3,3,6,6,6,6,6,6,6,4,2,2,2,2,24,4,4,4,4,4,4,4,4,24,
4,8,1,3,3,6,1,1,1,1,6,2,2,2,2,2,2,2,2,2,12,2,2,2,12,4,4,4,4,4,3,4,1,1,1,1,1,1,
2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,3,3,6,12,12,8,24,1,1,3,3,3,3,3,4,4,6,6,6,6,
6,4,4,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,4,24,4,24,24,24,24,24,
24,24,24,24,4,24,24,24,24,24,24,4,8,8,8,8,1,2,3,3,3,3,4,4,6,6,6,6,6,6,8,4,8,8,
8,8,12,12,12,12,12,12,2,12,12,2,12,2,12,12,12,2,12,12,12,12,12,12,2,2,12,12,
12,12,12,12,12,12,12,12,12,12,2,2,4,24,24,24,24,24,24,24,4,4,24,4,24,24,24,4,
24,24,24,24,24,24,4,4,24,4,4,24,24,24,4,4,24,24,24,24,24,4,24,24,24,24,24,4,
24,24,4,4,24,4,24,24,24,24,24,4,8,8,8,8,8,8,8,8,8,8,1,3,3,4,4,4,6,6,1,6,6,1,1,
1,6,6,6,6,8,2,12,12,12,2,2,12,2,2,12,2,12,12,2,2,12,12,2,2,12,2,2,12,2,12,12,
2,2,12,12,2,2,2,2,12,2,2,2,24,24,4,4,4,24,4,4,4,24,24,4,4,4,4,24,4,4,24,4,4,4,
24,4,4,4,4,4,24,4,24,24,24,4,4,4,4,4,4,4,4,4,24,24,4,24,4,24,3,4,1,6,1,1,1,1,
1,6,1,1,8,2,2,2,12,2,2,2,2,12,2,2,2,2,2,2,2,2,2,12,2,2,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,2,7,7,14,4,4,8,1,1,2,3,3,7,3,7,4,14,6,2,2,6,14,4,
4,12,4,4,4,12,4,12,4,12,4,4,4,4,12,8,8,16,8,8,8,8,8,8,8,16,8,24,1,2,2,1,1,7,1,
1,3,4,4,4,4,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,12,8,4,4,4,4,8,12,
4,4,4,4,4,8,4,4,4,12,4,4,4,4,4,4,4,4,4,8,8,4,12,8,4,4,8,8,4,8,8,4,8,8,16,4,4,
4,8,4,8,4,8,4,4,16,16,4,8,4,16,4,4,4,1,2,1,1,1,1,1,1,4,2,4,2,2,2,2,2,4,2,2,2,
2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,2,2,2,4,8,2,4,4,8,8,2,2,8,2,8,2,4,2,2,4,4,2,
4,2,4,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,1,1,1,1,2,4,2,2,1,1,2,1,4,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,4,
4,2,4,4,1,1,1,1,1,1,1,1],[1,1,9,9,12,8,8,2,4,3,3,6,6,9,2,6,12,4,4,4,4,18,4,6,
4,18,4,12,4,12,12,8,4,4,12,4,20,36,2,4,3,3,3,2,2,6,2,2,2,2,6,2,2,12,2,6,18,2,
12,6,4,6,12,2,6,6,6,2,4,12,2,6,12,10,8,4,12,4,8,4,8,4,4,12,4,8,4,4,4,4,20,4,4,
4,4,16,8,8,1,1,1,3,1,1,1,2,1,5,3,1,6,2,2,2,6,2,2,2,2,2,6,2,4,4,6,6,2,2,2,2,6,
2,4,2,2,2,2,2,2,2,2,2,8,8,4,2,2,4,4,8,4,4,4,4,8,1,1,1,1,4,3,2,2,2,2,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,5,5,4,4,4,16,2,1,1,2,5,2,6,4,6,6,
4,4,4,2,4,4,4,8,4,4,4,4,2,4,12,12,8,4,4,4,4,8,4,4,4,4,4,8,4,8,16,8,2,1,1,1,2,
2,2,2,2,2,2,4,2,4,4,4,4,2,2,2,6,2,4,4,2,8,2,8,4,4,8,8,4,4,4,4,4,4,4,4,8,4,4,4,
4,4,8,4,4,4,8,4,4,4,16,4,4,4,4,4,4,4,4,4,8,1,1,1,1,2,1,4,1,1,2,2,2,2,2,4,2,2,
2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,2,1,1,1,2,2,2,2,4,2,2,2,1,
1,1,2,2,1],[1,1,5,5,4,8,8,8,2,1,1,2,5,2,2,2,2,2,6,8,2,2,4,6,8,6,2,4,4,2,2,4,4,
2,6,6,8,4,8,4,12,4,4,8,4,4,8,8,4,4,8,4,8,8,8,8,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
4,2,2,4,4,4,2,6,2,2,2,2,4,2,12,2,2,2,4,4,2,4,2,2,2,4,2,4,4,4,8,4,8,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,8,8,4,4,4,4,4,4,8,8,8,8,4,4,4,4,4,4,4,2,1,1,1,2,2,2,2,2,2,1,
1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,4,2,2,2,2,4,2,2,2,2,4,4,2,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,1,2,1,1,1,1,1,1,1,2,1,2,2,4,2,2,2,2,2,2,4,2,2,2,1,1,1,1,1,
1,1,1],[1,1,1,1,12,8,8,8,8,1,1,6,1,2,4,2,2,2,2,4,4,2,2,6,4,8,6,12,2,4,4,2,2,4,
2,6,6,4,8,4,4,4,8,4,12,4,4,8,4,4,4,8,8,4,4,8,4,4,8,8,16,1,1,1,2,4,2,2,2,2,2,2,
2,2,2,2,4,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,8,4,4,8,4,4,4,
4,4,4,4,4,4,8,4,4,4,8,8,4,8,4,4,4,8,8,4,4,4,4,4,8,4,4,4,4,8,4,8,4,4,4,4,4,8,8,
8,8,8,1,1,1,2,1,1,1,2,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,4,4,2,2,4,2,2,2,2,2,2,2,4,
4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,9,9,12,4,
4,16,2,4,3,3,6,6,9,2,6,2,2,12,8,18,4,4,6,18,12,4,4,4,12,24,16,4,8,24,4,8,36,
16,16,2,4,1,3,1,3,3,4,2,6,2,2,2,6,2,2,12,4,8,4,6,4,18,2,4,4,12,12,6,12,8,4,6,
4,6,4,4,8,12,2,12,4,12,4,4,4,8,12,4,8,8,4,4,8,16,8,12,8,4,8,16,8,4,16,16,8,4,
4,8,4,8,16,1,2,3,1,1,1,2,2,2,1,2,3,4,2,2,2,6,2,2,2,8,4,4,6,2,4,2,2,8,4,4,6,2,
4,2,2,4,2,6,6,8,2,4,2,8,6,8,2,2,8,4,8,4,4,4,8,4,8,8,4,8,8,4,8,8,8,8,8,8,1,1,2,
1,1,4,2,1,3,1,2,2,1,1,4,4,4,2,4,2,2,4,2,2,6,4,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,9,9,12,4,4,2,4,3,3,6,6,9,2,6,2,2,12,8,18,4,4,6,18,12,4,4,4,12,
8,4,8,4,16,36,2,4,1,3,1,3,3,2,6,2,2,2,6,2,2,12,4,4,6,4,18,2,4,12,6,12,4,4,6,
12,6,4,4,4,12,2,12,8,4,4,8,12,4,4,4,12,4,4,8,16,4,4,4,1,2,3,1,1,1,2,2,1,2,4,3,
2,2,2,2,6,2,2,2,6,4,2,4,2,2,8,6,8,2,2,2,2,6,4,2,2,4,2,2,6,6,4,4,4,4,4,4,4,1,1,
1,2,1,3,2,1,1,2,4,1,1,4,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,1,9,9,12,8,8,2,4,
3,3,6,6,9,2,6,12,4,4,4,4,18,4,6,4,18,4,12,4,12,12,8,20,4,12,4,4,36,2,4,3,3,3,
2,2,6,2,2,2,2,6,2,2,12,10,6,18,2,12,6,4,6,12,10,6,6,6,10,4,12,2,6,12,2,8,4,12,
4,8,4,4,12,12,4,4,12,12,12,4,4,4,4,4,8,8,1,1,1,3,1,1,1,2,1,1,3,5,6,2,2,6,6,4,
2,4,2,2,2,2,2,6,6,2,2,2,2,2,6,8,2,4,2,2,6,2,2,2,6,2,8,6,4,6,2,4,4,4,4,4,4,1,1,
2,1,3,2,4,1,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,5,5,20,5,
5,10,5,10,10,10,30,10,20,20,20,16,5,10,10,10,10,10,10,10,10,10,20,20,20,16,1,
5,5,10,10,1,1,1],[1,5,10,20,5,10,10,10,10,10,20,20,16,5,5,5,10,10,20,20,20,16,
1,5,5,10,10,5,1,1],[1,5,10,20,5,10,10,20,10,10,10,20,16,5,5,5,10,10,20,20,20,
16,1,5,5,10,10,5,1,1],[1,1,5,10,15,5,5,5,5,5,10,5,5,5,5,15,25,20,10,30,16,5,5,
5,5,5,5,5,5,5,10,10,15,10,5,5,5,15,5,10,20,16,1,5,5,5,5,5,5,1,1,1],[1,5,10,20,
5,10,10,10,10,10,10,10,10,10,16,5,5,5,5,10,5,10,10,10,10,10,10,16,1,5,5,5,5,5,
5,5,1,1],[1,1,9,9,12,24,16,2,4,3,3,6,6,9,2,6,12,12,18,6,18,12,12,36,12,36,24,
36,16,32,2,4,3,3,3,6,2,6,6,12,6,6,18,12,18,6,12,6,6,6,6,12,18,12,12,12,24,12,
12,24,12,12,12,24,48,4,8,8,16,1,3,3,6,3,3,6,6,6,6,12,12,6,6,6,6,6,6,6,6,12,24,
12,24,4,8,8,8,16,1,3,3,6,6,6,6,12,1,4,8,3,1,2,1],[1,1,9,9,12,16,2,4,3,3,6,6,9,
2,6,12,4,18,6,18,12,12,12,36,16,2,4,3,3,3,2,6,6,12,6,18,12,6,12,6,6,6,12,12,6,
12,12,12,4,8,8,16,1,1,3,3,3,6,6,6,6,6,6,6,6,4,8,8,1,3,3,1,4,1,1,1],[1,1,9,9,
12,16,2,4,3,3,6,6,9,2,6,12,12,18,6,18,12,12,24,12,36,16,2,4,3,3,3,2,6,6,12,12,
6,18,12,6,12,12,6,18,6,12,12,12,6,12,12,12,4,8,8,16,1,3,3,3,3,6,6,6,12,12,6,6,
6,6,6,6,12,12,4,8,8,1,6,3,3,6,1,4,8,3,1,1],[1,1,9,9,12,12,12,16,2,4,3,3,6,6,9,
2,6,6,6,12,18,12,12,6,18,12,12,12,12,12,12,24,12,36,16,16,16,2,4,3,3,3,3,3,2,
6,6,6,6,6,6,6,12,12,6,12,18,6,12,12,6,12,12,6,6,12,12,12,6,12,12,12,12,12,12,
12,12,12,12,12,12,12,4,8,8,16,1,3,3,3,3,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,6,12,12,12,12,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,4,8,3,1,1,1,1],[1,1,2,
15,15,30,16,1,5,10,15,15,15,15,15,20,30,30,30,30,60,60,60,60,60,120,16,32,5,
10,10,15,15,15,15,20,20,20,20,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,120,120,4,8,8,16,5,6,10,10,15,15,20,30,30,30,30,30,60,60,60,60,60,60,
60,4,8,8,8,8,8,16,6,10,12,15,20,1,4,8,8,1,1,2,1],[1,1,9,9,12,8,16,2,4,3,3,6,6,
9,2,6,12,4,18,6,18,12,12,12,12,12,36,16,32,2,4,3,3,3,2,2,6,6,12,6,6,18,12,6,6,
12,6,6,6,6,12,6,12,12,12,12,12,12,12,4,8,8,16,1,1,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,4,8,8,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,9,9,12,24,16,2,4,3,3,6,6,9,2,6,12,12,12,
18,12,6,12,18,12,12,12,12,24,12,12,36,16,32,2,4,3,3,3,2,6,6,6,6,6,6,6,6,12,6,
18,6,12,12,6,12,6,6,12,12,6,12,24,12,12,12,24,12,12,12,12,12,12,12,12,12,4,8,
8,16,1,3,3,3,3,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,12,12,12,12,12,4,8,8,8,
8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,2,1],[1,1,9,6,15,12,12,16,2,1,3,3,3,5,6,9,6,9,
9,6,6,21,6,15,9,12,6,6,12,18,18,12,12,12,12,6,30,16,16,16,2,3,3,1,1,4,3,3,3,3,
3,3,3,9,6,6,9,6,3,6,6,6,6,6,3,6,12,6,9,12,6,9,9,6,9,3,9,6,6,6,6,6,18,18,12,6,
6,6,18,6,12,6,6,6,6,6,6,12,12,4,8,8,16,1,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,6,3,
3,3,6,6,3,3,6,6,6,9,3,3,3,3,3,6,6,6,6,6,12,6,6,6,4,4,4,4,8,4,4,4,8,1,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,3,3,6,6,24,12,16,1,3,3,1,1,3,3,12,
2,3,6,6,3,6,6,3,3,6,3,3,6,12,6,12,12,12,12,12,6,6,6,6,6,12,24,12,24,12,16,32,
1,1,1,3,3,2,6,6,3,3,3,6,3,6,6,6,3,3,3,3,3,3,6,6,6,6,6,6,12,6,6,12,12,6,6,6,6,
6,12,6,6,12,12,6,6,6,6,6,6,12,12,12,24,12,12,12,12,12,4,4,4,8,16,1,3,3,3,3,6,
3,3,3,3,3,6,3,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,12,6,6,6,6,4,4,4,8,8,8,8,1,3,
3,3,3,3,3,6,6,6,6,1,4,4,4,3,1,2,1],[1,1,2,3,3,6,12,12,24,16,1,1,3,3,3,3,3,4,4,
6,6,6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,16,32,1,2,3,3,3,3,4,4,6,6,6,6,6,6,8,8,8,8,8,12,
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,
12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,4,4,8,16,1,3,3,4,4,4,6,6,6,
6,6,6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,4,4,4,8,8,8,8,8,8,3,4,6,6,8,12,12,12,1,4,4,4,8,
1,1,2,1],[1,1,3,3,16,1,3,3,12,6,6,12,16,1,3,3,6,6,12,12,12,4,16,3,3,3,6,6,6,4,
1,3,3,4,3,1,1],[1,1,3,3,6,6,12,16,1,3,3,1,1,3,3,12,2,3,6,6,3,6,6,3,3,6,3,3,6,
12,6,12,12,12,12,6,6,6,6,6,12,12,16,1,1,1,3,3,2,6,3,3,6,3,6,3,6,6,6,6,6,3,3,3,
3,3,3,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,12,6,6,6,6,4,4,4,16,8,1,3,3,3,3,3,3,3,
6,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,1,4,4,4,3,1,1],[1,6,3,
6,12,16,16,2,1,3,2,6,3,6,6,12,6,12,12,12,12,12,12,24,16,16,16,3,1,3,3,6,6,6,6,
6,3,3,6,3,6,12,12,6,12,12,6,6,6,6,12,6,6,12,4,8,8,16,1,3,3,6,3,6,6,3,3,3,6,6,
6,6,6,6,6,4,4,8,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,3,6,12,16,16,2,1,3,2,6,
3,6,12,6,6,12,12,12,12,12,12,24,16,16,16,3,1,3,3,6,6,6,6,3,6,6,6,3,3,6,12,6,6,
12,6,6,12,6,12,6,12,12,4,8,8,16,1,3,3,6,6,3,3,3,3,6,6,6,6,6,6,6,6,4,4,4,8,8,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,6,15,12,12,16,2,1,3,3,3,5,6,9,6,9,9,6,6,21,
6,12,15,9,12,6,6,18,12,6,12,12,18,12,30,16,16,16,2,3,3,1,1,4,3,3,3,3,3,3,3,6,
9,6,9,9,6,6,6,6,3,12,6,6,6,9,12,6,9,6,9,6,3,6,3,9,6,6,6,18,6,6,6,12,6,12,18,
12,12,6,6,6,18,6,6,6,6,4,8,8,16,1,3,3,3,3,3,3,3,3,3,3,3,3,9,3,3,3,6,6,6,3,3,3,
3,3,6,3,6,3,6,3,6,3,3,12,6,6,6,6,6,6,6,6,4,4,4,4,8,4,4,4,8,1,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,3,3,24,16,1,3,3,12,6,6,12,12,12,16,32,1,3,
3,6,6,12,12,12,12,12,4,16,3,3,3,6,6,6,4,8,1,3,3,4,3,1,1],[1,1,2,3,3,6,16,1,1,
3,3,3,3,3,6,6,6,12,12,16,32,1,2,3,3,6,6,6,6,6,6,6,24,24,4,16,1,3,3,6,6,12,12,
4,8,3,4,4,1,1,1],[1,1,2,3,3,6,6,6,20,12,4,1,1,3,3,6,3,3,3,6,10,10,6,6,6,6,6,6,
6,6,6,18,6,12,12,12,18,12,6,24,24,4,4,4,8,8,8,8,1,3,2,2,3,3,3,3,3,10,6,6,6,6,
3,3,3,6,9,3,9,3,6,6,3,6,6,6,12,12,6,6,6,6,6,18,6,12,6,6,6,12,12,12,6,12,12,24,
1,4,4,4,4,4,4,4,8,8,8,8,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,9,3,3,6,
6,3,3,6,12,12,6,6,6,6,6,6,6,1,1,1,2,2,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,2,3,3,6,16,1,1,3,3,3,
3,3,6,6,6,12,12,16,32,1,2,3,3,6,6,6,6,6,6,6,12,12,12,12,4,16,1,3,3,6,6,6,6,6,
6,4,8,3,4,4,1,1,1],[1,1,2,15,15,30,10,1,5,15,15,15,15,15,30,30,30,6,10,10,10,
20,20,5,10,15,15,30,6,6,6,12,12,5,10,10,10,20,20,5,6,6,6,12,12,5,10,10,6,5,1,
1,2,1],[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],[1,1,15,15,20,10,5,10,15,15,30,30,30,6,10,10,10,20,20,5,15,
15,30,30,6,6,6,5,10,10,10,20,20,15,6,12,5,10,10,6,5,1,1,2,1],[1,1,2,15,15,30,
10,1,5,15,15,15,15,15,30,30,30,6,10,10,10,20,20,5,10,15,15,30,6,6,6,12,12,5,
10,10,10,20,20,5,6,6,6,12,12,5,10,10,6,5,1,1,2,1],[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],[1,1,15,15,20,10,
5,10,15,15,30,30,30,6,10,10,10,20,20,5,15,15,30,30,6,6,6,5,10,10,10,20,20,15,
6,12,5,10,10,6,5,1,1,2,1],[1,1,2,15,15,30,10,1,5,15,15,15,15,30,15,15,30,15,6,
10,10,10,20,20,5,5,5,15,15,15,15,6,6,6,12,12,10,10,5,10,20,20,5,6,6,6,12,12,
10,5,5,5,6,5,1,1,1,1,1],[1,1,2,15,15,30,12,12,24,1,5,10,15,15,15,15,15,4,20,4,
30,30,6,6,30,30,8,12,12,60,12,12,12,12,60,12,12,60,12,60,12,12,12,12,12,12,12,
12,60,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,120,5,10,10,3,
15,15,3,15,15,4,20,20,20,20,4,30,6,30,6,30,6,6,6,6,6,30,30,6,6,6,6,8,8,8,8,8,
12,60,12,12,12,12,12,12,12,12,60,12,60,12,12,12,12,60,12,12,12,60,12,12,12,12,
60,12,60,12,12,60,12,12,60,12,60,12,12,12,12,60,12,12,60,12,12,12,12,12,12,60,
60,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,120,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,120,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,5,6,10,10,15,
15,3,3,3,3,20,4,4,4,6,6,6,6,6,6,30,6,6,6,6,6,6,30,6,6,30,6,6,6,6,6,6,6,30,6,6,
6,6,6,6,30,6,8,12,12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,60,12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12,60,12,12,
12,12,60,12,12,12,12,12,60,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,6,10,12,3,3,3,3,3,
15,3,4,20,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,12,12,
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,
12,12,12,12,24,24,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,
12,3,3,3,6,1],[1,1,2,7,7,14,4,4,8,1,1,2,3,3,7,3,7,4,14,6,2,2,6,14,4,4,12,12,4,
4,12,4,12,4,12,4,12,4,4,12,8,16,8,8,8,8,8,8,8,8,8,8,8,16,24,16,16,1,2,2,1,1,7,
1,1,3,4,4,4,4,6,6,2,6,6,2,6,2,6,6,2,2,2,6,2,2,4,4,4,4,4,4,4,8,4,4,4,12,4,4,4,
4,4,4,12,4,4,4,4,4,4,4,8,4,4,4,12,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,12,4,8,8,8,24,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,8,24,8,1,2,1,1,1,3,3,1,4,2,2,2,2,2,6,
2,2,2,2,2,4,4,2,6,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,8,4,4,12,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,1,1,1,1,1,1,3,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1],[1,1,2,7,7,14,12,12,16,
24,1,1,2,3,3,7,3,7,4,4,4,14,6,6,6,6,14,8,8,8,12,12,12,12,4,12,12,12,12,12,12,
12,12,12,12,12,4,12,12,12,12,12,24,24,24,8,24,24,8,24,24,24,24,24,24,24,24,24,
24,8,24,24,24,24,8,24,16,16,16,16,1,2,2,3,1,7,3,1,3,4,4,4,4,4,4,4,6,2,2,2,6,6,
2,6,2,2,2,2,6,2,6,6,8,8,8,8,8,8,12,4,12,12,12,12,12,4,12,12,4,4,4,4,12,4,12,4,
12,12,4,12,12,12,4,12,12,12,12,12,4,4,4,4,4,12,4,4,12,12,12,12,12,4,12,12,4,
12,4,12,4,12,4,12,12,4,12,12,12,4,4,4,4,12,4,8,8,8,8,24,24,24,24,24,24,24,8,8,
8,8,24,8,24,8,24,8,24,8,24,8,24,24,8,24,8,8,24,24,8,8,8,8,8,8,24,24,8,24,8,24,
24,8,8,8,24,24,8,8,8,24,8,24,24,8,24,24,24,24,8,8,24,8,24,24,8,8,8,8,8,8,24,8,
8,8,24,8,8,24,8,24,8,24,24,8,8,8,8,8,16,16,16,16,16,16,16,16,16,16,16,1,2,2,2,
1,1,3,1,1,3,4,4,4,4,6,2,2,2,2,2,2,6,2,2,2,2,2,6,2,6,2,2,2,2,2,2,2,2,2,2,6,2,6,
2,2,6,2,2,2,2,6,8,4,12,4,12,12,4,4,4,12,4,4,4,4,4,12,4,12,12,4,4,12,12,4,4,4,
4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,12,4,12,4,4,
4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,
4,4,8,8,8,8,8,24,8,24,8,8,8,8,24,8,8,8,8,24,8,24,8,8,8,8,8,24,8,8,8,8,8,24,8,
8,8,8,24,8,8,8,8,8,8,8,24,8,8,24,8,24,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,24,8,8,8,24,8,8,8,8,24,8,24,2,1,1,1,1,3,1,1,4,2,2,2,2,2,2,2,6,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,8,4,4,4,4,4,4,4,4,4,4,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,
4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,7,7,14,
12,12,24,1,1,2,3,3,7,3,7,4,4,4,14,6,6,6,6,14,8,12,12,12,12,4,12,12,12,12,12,
12,12,12,12,12,12,4,12,12,12,12,12,24,24,16,24,24,8,24,24,24,24,24,24,24,24,
24,8,24,24,24,24,16,24,1,2,2,3,1,7,3,1,3,4,4,4,4,4,4,6,2,2,2,6,6,2,6,2,2,2,2,
6,2,6,6,8,8,8,8,8,12,4,12,12,12,12,12,12,12,8,4,4,4,12,4,12,12,12,4,12,12,4,
12,12,12,12,12,4,4,4,8,4,12,4,12,12,12,12,4,12,12,4,12,4,12,8,12,4,12,12,4,12,
12,4,4,8,12,4,8,8,8,24,24,24,24,24,24,24,8,8,24,24,8,24,8,24,24,24,24,8,24,8,
8,24,24,8,8,8,8,24,24,8,24,24,24,24,8,8,24,8,24,24,24,24,24,24,8,8,24,24,24,8,
8,24,16,8,24,8,8,24,8,24,24,24,8,8,8,8,16,1,2,1,1,3,1,1,3,4,4,4,4,6,2,2,2,2,2,
2,6,2,2,6,2,6,4,4,2,2,2,6,2,6,2,2,6,2,2,2,2,6,8,12,4,12,12,4,12,4,12,12,12,12,
12,4,4,4,4,4,4,4,12,4,8,4,4,12,4,4,4,4,4,4,12,12,4,4,12,4,12,4,4,4,4,4,4,4,4,
4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,8,8,8,8,24,8,24,8,24,8,24,8,8,
24,8,24,8,8,8,24,8,24,8,24,8,24,24,8,24,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,24,8,
24,24,1,1,1,1,3,1,1,4,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,6,2,2,4,2,8,4,4,4,4,4,4,
12,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,
4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[
1,1,2,15,15,30,4,4,16,8,1,5,10,15,15,15,15,15,20,30,30,2,2,30,30,8,8,4,4,60,4,
4,4,60,4,60,4,60,4,4,4,4,60,24,8,24,8,8,8,8,8,8,8,8,8,24,8,8,24,120,16,16,5,
10,10,1,15,15,1,15,15,4,20,20,20,20,30,2,30,2,30,2,2,2,2,2,30,30,2,2,2,2,8,4,
60,4,4,4,4,4,4,12,4,60,4,60,4,4,4,4,60,4,12,4,60,4,4,4,4,60,4,60,12,4,4,60,4,
12,60,60,4,4,4,60,4,12,4,60,4,4,4,12,4,4,60,12,60,4,8,8,8,8,8,8,8,8,8,120,8,8,
8,8,8,8,8,8,8,8,8,8,24,24,8,24,8,120,8,8,8,8,24,8,8,8,24,8,8,8,24,8,24,24,8,8,
8,8,8,8,8,8,8,8,48,16,16,5,6,10,10,2,2,15,15,1,1,1,1,20,2,2,2,2,2,30,2,2,2,2,
2,2,2,2,30,2,2,2,6,30,6,2,2,2,2,2,2,2,30,2,2,2,2,30,2,4,4,4,4,12,4,4,60,12,4,
4,12,4,4,4,4,4,4,4,4,4,4,4,60,12,4,4,12,12,4,12,12,4,60,4,12,4,4,4,4,4,4,4,4,
4,60,4,4,4,4,4,60,4,12,4,4,4,4,4,60,12,60,4,12,4,4,4,4,4,4,4,4,4,4,4,12,4,12,
12,12,12,4,12,12,4,12,4,4,4,4,8,8,24,8,8,8,8,8,8,8,8,8,24,24,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,6,2,10,12,1,1,1,1,1,15,1,20,
4,2,2,2,2,6,2,2,2,2,2,6,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,6,6,6,2,2,2,2,4,4,4,
12,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,
4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
24,8,8,1,2,2,1,1,1,1,1,1,2,2,2,6,2,2,2,2,6,2,2,6,2,2,2,2,2,2,6,2,4,4,4,4,4,4,
4,4,4,4,4,4,2,1,1,1,2,2,2,2,2,1],[1,1,2,15,15,30,4,4,8,1,5,10,15,15,15,15,15,
20,30,30,2,2,30,30,4,4,60,4,4,4,60,4,60,4,60,4,4,4,4,60,8,8,8,8,8,8,8,8,8,8,8,
8,120,16,16,5,10,10,1,15,15,1,15,15,20,20,20,20,30,2,30,2,30,2,2,2,2,2,30,30,
2,2,2,2,4,60,4,4,4,4,4,4,60,4,60,4,4,4,60,4,4,60,4,4,4,4,60,4,60,4,4,60,60,60,
4,4,4,60,4,4,60,4,4,4,4,60,60,4,8,8,8,8,8,8,8,8,8,120,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,120,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,5,6,10,10,15,15,1,1,1,1,20,2,2,2,
2,2,30,2,2,2,2,2,30,2,2,30,2,2,2,30,2,2,2,2,30,2,4,4,4,4,60,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,60,4,4,4,60,4,4,4,4,4,4,4,4,4,60,4,4,4,4,60,4,4,4,4,60,60,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,6,10,12,1,1,1,1,1,15,1,20,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,
1,2,7,7,14,4,4,16,8,1,1,2,3,3,7,3,7,4,14,6,2,2,6,14,8,8,4,4,12,12,4,4,12,4,12,
4,12,4,12,4,4,12,24,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,24,16,16,1,2,2,1,1,7,1,1,3,
4,4,4,4,4,6,6,2,6,6,2,6,2,6,6,2,2,2,6,2,2,8,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,
4,4,4,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,
4,12,4,8,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
24,8,8,8,16,16,16,16,1,2,2,2,1,1,1,3,3,1,4,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,6,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,
12,4,4,4,4,4,12,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,2,1,1,
1,1,1,1,3,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,5,5,20,
20,20,5,5,10,5,10,10,10,10,10,20,20,20,30,10,20,20,20,20,20,40,20,20,16,5,5,5,
10,10,10,10,10,10,10,10,10,10,10,10,20,10,10,10,20,20,10,20,20,20,20,40,20,20,
20,20,40,20,20,20,20,16,16,16,1,5,5,5,10,5,10,5,5,10,20,10,10,10,10,20,10,10,
10,10,10,10,10,20,20,20,20,16,1,5,5,5,5,5,5,10,10,10,10,5,1,1,1,1,1],[1,1,5,5,
20,40,5,5,10,5,10,10,20,20,10,30,20,10,20,20,20,20,20,40,20,20,20,16,5,10,10,
10,10,10,10,10,10,10,10,10,10,10,20,10,10,10,20,20,10,20,20,20,40,40,20,20,20,
20,20,20,20,20,20,16,32,1,5,5,5,5,5,5,10,10,10,10,10,20,10,10,10,20,10,10,10,
20,10,20,20,20,20,16,1,5,5,10,10,10,10,10,10,5,1,1,2,1],[1,1,2,15,15,30,1,5,
10,15,15,15,15,15,20,30,30,30,30,60,60,60,60,60,120,16,5,10,10,15,15,15,15,20,
20,20,20,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,16,
32,5,6,10,10,15,15,20,30,30,30,30,30,60,60,60,60,60,60,60,16,6,10,12,15,20,1,
1,1,2,1],[1,1,5,10,15,20,20,5,5,5,5,5,10,5,10,5,5,10,10,5,10,15,25,20,10,10,
20,10,10,20,20,20,20,30,30,16,5,5,5,5,5,5,5,5,5,5,5,5,10,10,5,10,15,10,10,10,
10,10,10,15,10,5,10,5,5,10,5,10,15,5,10,30,30,10,20,10,10,20,10,10,10,10,10,
20,20,10,10,10,10,10,10,16,16,16,1,5,5,5,5,5,5,5,5,10,10,5,5,10,5,15,5,5,5,5,
5,10,5,10,5,5,5,5,5,5,5,5,10,10,10,10,10,20,10,10,10,16,1,5,5,5,5,5,5,5,5,5,5,
5,5,5,5,5,1,1,1,1,1],[1,1,5,10,15,20,20,5,5,5,5,5,10,5,10,5,5,10,10,5,10,20,
15,25,20,10,10,10,20,30,20,20,10,20,30,16,5,5,5,5,5,5,5,5,5,5,5,10,5,10,5,5,
10,10,10,15,10,10,10,10,5,10,5,10,5,10,15,15,5,10,10,10,10,10,10,10,10,10,20,
20,10,20,30,10,20,10,10,10,30,10,10,16,16,16,1,5,5,5,5,5,5,5,5,5,5,10,5,5,10,
5,5,5,5,10,5,5,5,15,5,10,5,10,5,5,5,5,20,10,10,10,10,10,10,10,10,16,1,5,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,5,10,20,5,10,10,20,10,10,10,20,40,16,5,5,
5,10,10,20,20,20,20,20,16,1,5,5,10,10,10,10,16,5,5,5,5,1,1,1],[1,5,10,20,5,10,
10,10,10,10,20,20,40,16,5,5,5,10,10,20,20,20,20,20,16,1,5,5,10,10,10,10,16,5,
5,5,5,1,1,1],[1,1,2,15,15,30,24,16,1,5,10,15,15,15,15,15,20,30,30,30,30,12,12,
60,60,60,60,60,36,36,36,36,120,16,32,32,5,10,10,15,15,15,15,6,20,20,20,20,30,
30,30,30,30,12,60,18,60,60,60,18,60,60,60,18,60,18,60,60,60,18,60,18,60,18,60,
120,36,36,36,120,36,36,36,36,36,72,4,8,8,16,16,16,5,6,10,10,3,3,15,15,20,30,
30,9,30,9,30,30,18,60,18,18,60,18,18,18,18,18,60,18,60,60,18,60,18,60,18,18,
18,18,18,18,18,18,18,36,36,36,36,4,8,8,8,8,8,8,16,16,16,6,3,10,12,15,20,6,9,9,
9,9,9,9,9,18,18,18,18,18,18,18,18,36,1,4,4,4,8,8,8,8,1,3,3,9,9,9,9,1,2,2,4,8,
3,1,1,1,1],[1,1,2,15,15,30,12,12,24,16,1,5,10,15,15,15,15,15,20,30,30,6,6,30,
30,12,12,60,12,12,12,60,12,60,12,60,12,12,12,12,60,24,24,24,24,24,24,24,24,24,
24,24,24,120,16,16,16,32,32,5,10,10,3,15,15,3,15,15,20,20,20,20,30,6,30,6,30,
6,6,6,6,6,30,30,6,6,6,6,12,60,12,12,12,12,12,12,60,12,60,12,12,12,60,12,12,60,
12,12,12,12,60,12,60,12,12,60,60,60,12,12,12,60,12,12,60,12,12,12,12,60,60,12,
24,24,24,24,24,24,24,120,24,24,24,24,24,24,24,24,24,24,24,120,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,4,8,8,16,16,16,32,32,5,6,10,10,15,15,3,3,3,3,
20,6,6,6,6,6,30,6,6,6,6,6,30,6,6,30,6,6,6,30,6,6,6,6,30,6,12,12,12,60,12,12,
12,12,12,12,12,12,12,12,12,60,12,12,12,60,12,12,12,12,12,12,12,12,60,12,12,12,
12,60,12,12,12,12,60,60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,4,4,
8,8,8,8,8,8,8,8,8,8,16,16,6,10,12,3,3,3,3,3,15,3,20,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,24,1,4,4,4,8,8,8,8,8,8,8,8,8,8,1,3,3,6,6,6,6,
6,6,12,12,12,12,1,1,1,2,2,4,8,3,1,1,1,2,2,1],[1,1,9,9,12,12,12,16,2,4,3,3,6,6,
9,2,6,6,6,12,16,18,12,12,6,18,12,12,12,12,12,24,12,24,12,24,36,16,16,16,2,4,3,
3,3,3,3,2,6,6,6,6,6,6,6,12,12,12,6,12,18,6,12,12,6,12,12,12,6,24,6,12,12,12,
12,6,12,12,12,12,24,12,12,12,12,12,12,12,24,24,12,12,12,4,8,8,16,16,16,1,4,3,
3,3,3,6,6,3,6,6,3,6,6,6,6,6,6,6,6,6,12,6,12,6,6,12,6,12,6,6,6,6,6,12,6,6,12,6,
6,6,6,12,12,12,12,12,12,12,4,4,4,8,8,8,8,16,1,3,3,6,3,3,6,3,3,6,6,3,3,12,6,6,
6,6,6,6,12,6,1,4,4,4,8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,2,15,15,30,8,
16,1,5,10,15,15,15,15,15,20,30,30,30,30,4,4,60,60,60,60,60,12,12,12,12,120,16,
32,32,5,10,10,15,15,15,15,2,20,20,20,20,30,30,30,30,30,4,60,6,60,60,60,6,60,
60,60,6,60,6,60,60,60,6,60,6,60,6,60,120,12,12,12,120,12,12,12,12,12,24,4,8,8,
16,16,16,5,6,10,10,1,1,15,15,20,30,30,3,30,3,30,30,6,60,6,6,60,6,6,6,6,6,60,6,
60,60,6,60,6,60,6,6,6,6,6,6,6,6,6,12,12,12,12,4,8,8,8,8,8,8,16,16,6,1,10,12,
15,20,2,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,12,1,4,4,4,8,8,1,1,1,3,3,3,3,1,2,2,4,1,
1,1,1,1],[1,1,9,9,12,12,12,32,16,2,4,3,3,6,6,9,2,6,6,6,12,16,18,12,12,6,18,12,
12,12,12,12,48,24,12,24,48,12,24,36,48,48,16,16,16,32,32,2,4,3,3,3,3,3,8,2,6,
6,6,6,6,6,6,12,12,12,12,6,12,18,6,12,12,12,24,6,12,12,12,6,12,6,12,12,12,12,6,
24,12,12,12,12,12,24,12,12,24,24,12,12,24,24,24,12,24,12,24,24,24,12,24,24,24,
12,12,24,12,24,48,4,8,8,16,16,16,32,32,1,4,3,3,3,3,6,6,6,3,6,3,6,6,6,6,6,6,6,
6,12,12,12,6,6,12,6,6,12,12,12,6,6,12,6,6,12,6,6,6,12,6,12,6,12,6,12,6,6,12,
12,24,12,12,12,24,12,24,24,12,24,24,12,24,24,24,24,24,24,4,4,4,8,8,8,8,8,8,16,
16,1,3,2,3,3,6,6,3,3,3,6,6,3,3,12,12,12,6,12,6,6,12,6,6,6,12,6,6,6,6,6,6,6,6,
12,1,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,9,9,
12,8,24,16,2,4,3,3,6,6,9,2,6,12,4,12,12,12,18,12,6,12,18,12,12,12,12,12,24,36,
12,12,12,12,36,16,32,32,2,4,3,3,3,2,2,6,6,6,6,6,6,6,6,12,18,6,18,6,12,6,12,6,
12,18,6,18,6,18,12,12,6,6,12,6,24,12,12,12,24,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,24,24,4,8,8,16,16,16,1,3,1,3,3,3,3,6,3,3,3,9,6,6,6,6,6,12,6,12,6,
6,6,6,6,6,6,6,6,6,6,6,6,12,6,12,6,6,6,6,6,6,6,6,12,6,12,6,6,12,12,12,12,12,12,
4,8,8,8,8,8,8,16,1,3,2,3,3,6,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,
8,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,9,9,12,24,24,16,2,4,3,3,6,6,9,2,6,12,
12,4,12,12,18,12,6,12,18,12,12,12,12,36,24,12,12,36,12,36,36,16,32,32,2,4,3,3,
3,6,2,6,6,6,6,6,6,6,6,12,6,6,18,6,12,18,12,6,12,6,6,6,6,6,12,12,6,18,12,18,24,
12,12,12,24,12,24,12,12,12,12,24,12,12,12,12,36,12,12,12,12,48,24,24,4,8,8,16,
16,16,1,1,3,3,3,3,3,6,3,9,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,
12,6,6,6,6,6,6,6,6,6,12,12,12,6,6,12,12,24,12,12,12,12,24,4,8,8,8,8,8,8,16,16,
1,3,3,3,6,3,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,8,8,1,3,3,3,3,3,
3,1,2,2,4,3,1,1,1,1],[1,1,2,3,3,6,12,12,24,24,16,1,1,3,3,3,3,3,4,4,6,6,6,6,6,
12,12,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,24,12,24,24,24,24,
24,24,24,24,24,12,24,24,24,24,24,24,12,24,24,24,24,16,32,32,1,2,3,3,3,3,4,4,6,
6,6,6,6,6,8,12,8,8,8,8,12,12,12,12,12,12,6,12,12,6,12,6,12,12,12,6,12,12,12,
12,12,12,6,6,12,12,12,12,12,12,12,12,12,12,12,12,6,6,12,24,24,24,24,24,24,24,
12,12,24,12,24,24,24,12,24,24,24,24,24,24,12,12,24,12,12,24,24,24,12,12,24,24,
24,24,24,12,24,24,24,24,24,12,24,24,12,12,24,12,24,24,24,24,24,12,24,24,24,24,
24,24,24,24,24,24,4,4,4,16,8,16,16,1,3,3,4,4,4,6,6,3,6,6,3,3,3,6,6,6,6,8,6,12,
12,12,6,6,12,6,6,12,6,12,12,6,6,12,12,6,6,12,6,6,12,6,12,12,6,6,12,12,6,6,6,6,
12,6,6,6,24,24,12,12,12,24,12,12,12,24,24,12,12,12,12,24,12,12,24,12,12,12,24,
12,12,12,12,12,24,12,24,24,24,12,12,12,12,12,12,12,12,12,24,24,12,24,12,24,4,
4,4,8,8,8,8,16,8,8,8,8,8,3,4,3,6,3,3,3,3,3,6,3,3,8,6,6,6,12,6,6,6,6,12,6,6,6,
6,6,6,6,6,6,12,6,6,12,12,12,12,12,12,12,12,12,12,1,4,4,4,4,4,4,4,4,4,8,1,3,3,
3,3,3,3,6,6,6,6,1,2,2,4,4,4,3,1,1,1,1],[1,1,2,3,3,6,24,16,1,1,3,3,3,3,3,6,6,6,
12,12,12,12,12,12,12,12,16,32,32,1,2,3,3,6,6,6,6,6,6,6,12,6,6,6,6,24,12,12,12,
12,12,12,12,12,24,12,24,4,16,16,16,1,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,6,6,
6,12,12,12,12,12,12,4,16,8,8,3,4,3,3,3,3,3,3,6,6,6,6,6,6,6,4,4,4,1,3,3,6,6,1,
4,3,1,1,1,1],[1,1,2,15,15,20,30,10,1,5,10,10,15,15,15,15,15,30,30,30,30,30,30,
30,6,10,10,10,20,20,20,20,5,10,10,15,15,15,15,15,30,15,30,30,30,30,30,6,6,6,
12,12,5,10,10,10,10,10,10,10,20,20,20,20,5,15,15,15,15,15,15,6,6,6,12,12,12,
12,5,10,10,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,1,2,2,1,1,1,1],[1,1,2,
15,15,20,30,10,1,5,10,10,15,15,15,15,15,30,30,30,30,30,30,30,6,10,10,10,20,20,
20,20,5,10,10,15,15,15,15,15,30,15,30,30,30,30,30,6,6,6,12,12,5,10,10,10,10,
10,10,10,20,20,20,20,5,15,15,15,15,15,15,6,6,6,12,12,12,12,5,10,10,10,10,10,
10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,1,2,2,1,1,1,1],[1,1,2,15,15,30,12,12,16,
24,1,5,10,15,15,15,15,15,4,20,4,30,30,6,6,30,30,8,8,8,12,12,60,12,12,12,12,60,
12,12,60,12,60,12,12,12,12,12,12,12,12,60,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,120,16,16,16,16,5,10,10,3,15,15,3,15,15,4,4,
20,20,20,20,4,30,6,30,6,30,6,6,6,6,6,30,30,6,6,6,6,8,8,8,8,8,8,12,60,12,12,12,
12,12,4,12,12,12,12,60,12,60,12,12,4,12,12,60,12,12,12,12,60,12,12,12,12,60,
12,60,12,12,12,60,4,12,12,12,60,12,60,12,12,12,12,60,12,12,12,60,12,12,12,12,
12,12,12,4,60,12,60,12,24,24,8,24,24,24,24,24,24,24,24,8,8,24,24,24,8,24,120,
24,24,24,8,24,8,24,24,24,24,24,24,24,24,24,24,24,24,8,8,24,24,24,24,24,24,24,
8,24,8,24,24,120,24,8,24,24,24,24,24,24,24,24,24,24,24,24,8,24,24,24,8,24,8,
24,24,24,24,24,24,24,24,24,24,24,24,8,24,24,24,24,8,24,24,48,16,16,16,16,16,
16,16,16,16,16,16,5,6,10,10,2,2,15,15,3,3,3,3,20,4,4,4,6,6,6,6,6,6,30,6,6,2,6,
6,2,2,6,6,30,6,6,2,6,30,6,2,2,2,6,6,6,2,6,6,6,6,30,6,6,6,6,6,6,30,6,8,4,12,12,
12,12,12,4,12,12,12,4,4,60,12,12,4,12,12,12,12,12,12,4,4,12,12,4,12,12,12,4,
12,12,12,12,12,12,60,12,12,4,12,12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,
4,4,12,12,4,12,12,12,12,60,12,12,12,4,12,60,12,4,12,12,12,12,4,12,60,12,12,60,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,12,12,4,12,12,12,12,12,12,12,4,12,
12,4,4,12,4,8,24,24,24,24,24,24,24,24,8,8,8,24,24,8,24,8,8,24,24,8,24,24,8,8,
24,8,8,24,8,24,24,24,8,24,24,8,8,8,24,8,8,24,8,8,8,8,24,24,8,24,8,24,24,24,8,
8,24,8,8,8,8,8,24,24,8,8,24,24,24,8,24,24,8,24,8,24,8,8,8,24,24,24,8,24,24,8,
8,8,24,24,8,24,6,2,10,12,3,3,3,3,3,15,3,4,20,4,4,6,6,6,2,6,6,2,6,2,6,6,2,2,6,
6,6,6,6,6,2,2,2,6,2,2,6,6,6,6,6,2,6,6,6,6,6,2,6,6,2,6,6,6,6,2,6,6,6,8,8,12,12,
12,12,4,12,12,4,12,4,12,12,4,4,12,12,4,12,12,4,4,4,4,12,12,4,4,4,12,4,4,4,4,
12,12,12,12,4,12,12,12,4,4,12,4,12,12,12,4,12,12,12,4,12,4,4,4,12,4,4,12,12,4,
12,4,12,12,4,4,4,12,12,12,12,4,4,12,4,12,12,12,12,12,4,12,12,4,12,4,4,4,4,4,
12,4,4,4,12,4,12,12,12,4,4,4,12,12,12,4,4,4,4,4,12,12,12,12,4,4,12,4,12,4,4,4,
12,12,4,4,24,8,8,24,24,8,8,8,8,8,8,8,8,1,1,1,2,2,2,3,1,3,3,3,1,1,1,1,1,6,2,2,
2,6,2,2,2,6,2,6,2,6,2,6,2,2,2,6,6,6,2,6,2,6,6,2,2,2,2,2,6,2,6,2,2,6,2,4,4,4,4,
4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,12,4,4,12,4,4,12,4,12,4,12,4,4,12,4,2,1,1,
3,3,3,1,1,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,15,15,
30,20,20,40,1,5,10,15,15,15,15,15,20,30,30,10,10,30,30,20,20,60,20,20,20,60,
20,60,20,60,20,20,20,20,60,40,40,40,40,40,40,40,40,40,40,40,40,120,16,5,10,10,
5,15,15,5,15,15,20,20,20,20,30,10,30,10,30,10,10,10,10,10,30,30,10,10,10,10,
20,60,20,20,20,20,20,20,60,20,60,20,20,20,60,20,20,60,20,20,20,20,60,20,60,20,
20,60,60,60,20,20,20,60,20,20,60,20,20,20,20,60,60,20,40,40,40,40,40,40,40,
120,40,40,40,40,40,40,40,40,40,40,40,120,40,40,40,40,40,40,40,40,40,40,40,40,
40,40,40,40,16,16,16,32,32,5,6,10,10,15,15,5,5,5,5,20,10,10,10,10,10,30,10,10,
10,10,10,30,10,10,30,10,10,10,30,10,10,10,10,30,10,20,20,20,60,20,20,20,20,20,
20,20,20,20,20,20,60,20,20,20,60,20,20,20,20,20,20,20,20,60,20,20,20,20,60,20,
20,20,20,60,60,20,20,20,20,20,20,20,20,20,20,20,20,20,20,40,40,40,40,40,40,40,
40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,16,16,16,32,32,
6,10,12,5,5,5,5,5,15,5,20,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,40,40,16,1,5,5,10,10,10,10,10,10,20,20,20,20,1,5,1,1,1,2,2,
1,1,1,2,2,1],[1,1,5,5,20,20,20,5,5,10,5,10,10,10,10,10,20,20,20,30,10,20,20,
20,20,20,40,20,20,80,16,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,20,10,10,10,
20,20,10,20,20,40,20,20,40,20,20,40,20,20,40,40,20,20,20,20,40,16,16,16,1,5,5,
5,10,5,10,5,5,20,10,20,20,10,10,10,10,20,10,10,10,10,10,10,10,20,20,20,20,20,
20,20,20,16,32,1,5,5,5,10,5,5,5,10,10,20,10,10,10,10,10,16,5,5,5,10,10,1,5,1,
1,1,1,2,1],[1,1,5,5,20,20,20,5,5,10,5,10,10,10,10,10,20,20,20,30,10,20,20,20,
20,20,40,20,20,80,16,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,20,10,10,10,20,
20,10,20,40,20,20,20,40,20,20,40,40,20,20,40,20,20,20,20,40,16,16,16,1,5,5,5,
10,5,10,5,5,20,10,20,20,10,10,10,10,20,20,10,10,10,10,10,10,10,20,20,20,20,20,
20,20,16,32,1,5,10,5,5,5,5,5,10,10,10,10,10,10,20,10,16,5,5,5,10,10,1,5,1,1,1,
1,2,1],[1,1,2,15,15,30,12,12,24,64,1,5,10,15,15,15,15,15,4,20,4,30,30,6,6,30,
30,8,12,12,60,12,12,12,12,60,12,12,60,12,60,12,12,12,12,12,12,12,12,60,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,120,64,128,5,10,10,3,15,15,
3,15,15,4,20,20,20,20,4,30,6,30,6,30,6,6,6,6,6,30,30,6,6,6,6,8,8,8,8,8,12,60,
12,12,12,12,12,12,12,12,60,12,60,12,12,12,12,60,12,12,12,60,12,12,12,12,60,12,
60,12,12,60,12,12,60,12,60,12,12,12,12,60,12,12,60,12,12,12,12,12,12,60,60,12,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,120,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,120,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,16,16,32,32,16,32,64,
5,6,10,10,15,15,3,3,3,3,20,4,4,4,6,6,6,6,6,6,30,6,6,6,6,6,6,30,6,6,30,6,6,6,6,
6,6,6,30,6,6,6,6,6,6,30,6,8,12,12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,60,12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,
12,12,60,12,12,12,12,60,12,12,12,12,12,60,12,60,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,16,
32,16,32,32,32,16,32,32,32,32,32,64,32,6,10,12,3,3,3,3,3,15,3,4,20,4,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,4,
4,16,16,32,32,16,32,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,
12,12,4,4,8,4,8,8,3,3,3,6,4,4,4,8,1,1],[1,1,2,15,15,30,12,12,32,24,16,1,5,10,
15,15,15,15,15,20,30,30,6,6,30,30,16,16,12,12,60,12,12,12,60,12,60,12,60,12,
12,12,12,60,48,24,48,24,24,24,24,24,24,24,24,24,48,24,24,48,120,48,48,16,16,
16,32,32,32,32,5,10,10,3,15,15,3,15,15,8,20,20,20,20,30,6,30,6,30,6,6,6,6,6,
30,30,6,6,6,6,16,12,60,12,12,12,12,12,12,24,12,60,12,60,12,12,12,12,60,12,24,
12,60,12,12,12,12,60,12,60,24,12,12,60,12,24,60,60,12,12,12,60,12,24,12,60,12,
12,12,24,12,12,60,24,60,12,24,24,24,24,24,24,24,24,24,120,24,24,24,24,24,24,
24,24,24,24,24,24,48,48,24,48,24,120,24,24,24,24,48,24,24,24,48,24,24,24,48,
24,48,48,24,24,24,24,24,24,24,24,24,24,96,48,48,4,8,8,16,16,16,16,16,16,16,32,
32,32,32,5,6,10,10,4,4,15,15,3,3,3,3,20,6,6,6,6,6,30,6,6,6,6,6,6,6,6,30,6,6,6,
12,30,12,6,6,6,6,6,6,6,30,6,6,6,6,30,6,12,12,12,12,24,12,12,60,24,12,12,24,12,
12,12,12,12,12,12,12,12,12,12,60,24,12,12,24,24,12,24,24,12,60,12,24,12,12,12,
12,12,12,12,12,12,60,12,12,12,12,12,60,12,24,12,12,12,12,12,60,24,60,12,24,12,
12,12,12,12,12,12,12,12,12,12,24,12,24,24,24,24,12,24,24,12,24,12,12,12,12,24,
24,48,24,24,24,24,24,24,24,24,24,48,48,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,24,24,24,24,4,4,4,8,8,8,8,8,8,8,
8,8,8,8,8,16,16,16,16,16,16,16,16,16,6,4,10,12,3,3,3,3,3,15,3,20,8,6,6,6,6,12,
6,6,6,6,6,12,12,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,12,12,12,6,6,6,6,12,12,12,24,
12,12,12,12,12,12,12,12,12,24,24,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,
12,12,12,24,24,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,48,24,24,1,4,4,4,
4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,1,4,4,3,3,3,3,3,3,6,6,6,12,6,6,6,6,12,
6,6,12,6,6,6,6,6,6,12,6,12,12,12,12,12,12,12,12,12,12,12,12,1,1,1,2,2,2,2,4,4,
4,4,4,4,4,8,8,4,3,3,3,6,6,6,6,6,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,
1,2,15,15,30,20,20,40,1,5,10,15,15,15,15,15,20,30,30,10,10,30,30,20,20,60,20,
20,20,60,20,60,20,60,20,20,20,20,60,40,40,40,40,40,40,40,40,40,40,40,40,120,
80,80,16,5,10,10,5,15,15,5,15,15,20,20,20,20,30,10,30,10,30,10,10,10,10,10,30,
30,10,10,10,10,20,60,20,20,20,20,20,20,60,20,60,20,20,20,60,20,20,60,20,20,20,
20,60,20,60,20,20,60,60,60,20,20,20,60,20,20,60,20,20,20,20,60,60,20,40,40,40,
40,40,40,40,40,40,120,40,40,40,40,40,40,40,40,40,40,40,40,40,40,120,40,40,40,
40,40,40,40,40,40,40,40,40,40,40,40,40,40,80,16,16,16,32,32,5,6,10,10,15,15,5,
5,5,5,20,10,10,10,10,10,30,10,10,10,10,10,30,10,10,30,10,10,10,30,10,10,10,10,
30,10,20,20,20,20,60,20,20,20,20,20,20,20,20,20,20,20,20,20,20,60,20,20,20,60,
20,20,20,20,20,20,20,20,20,60,20,20,20,20,60,20,20,20,20,60,60,20,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,
40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,16,16,16,32,32,32,32,
6,10,12,5,5,5,5,5,15,5,20,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,40,40,16,16,16,
1,5,5,5,5,10,10,10,10,10,10,10,10,10,10,10,20,20,20,20,20,20,20,20,1,16,5,5,5,
10,10,1,1,1,2,2,5,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,15,15,30,12,12,48,24,64,1,5,
10,15,15,15,15,15,4,20,4,30,30,6,6,30,30,24,24,8,12,12,60,12,12,12,12,60,12,
12,60,12,60,12,12,12,12,12,12,12,12,60,24,72,24,72,24,24,24,24,24,24,24,24,24,
24,72,24,24,24,24,24,24,24,72,120,48,48,48,48,64,128,128,5,10,10,3,15,15,3,15,
15,4,12,20,20,20,20,4,30,6,30,6,30,6,6,6,6,6,30,30,6,6,6,6,8,24,8,8,8,8,12,60,
12,12,12,12,12,12,12,12,36,12,60,12,60,12,12,12,12,12,60,12,36,12,12,60,12,12,
12,12,60,12,60,36,12,12,60,12,36,12,12,60,12,60,12,12,12,12,60,12,36,12,60,12,
12,12,36,12,12,12,12,60,36,60,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,120,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
72,72,24,24,24,24,24,72,24,24,24,120,24,24,24,24,24,24,72,24,24,24,24,24,24,
24,24,24,24,72,24,24,24,72,24,24,72,72,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,144,48,48,48,48,48,48,48,48,48,48,48,16,16,32,32,16,64,32,64,64,5,6,10,
10,6,6,15,15,3,3,3,3,20,4,4,4,6,6,6,6,6,6,30,6,6,6,6,6,6,6,6,6,30,6,6,6,18,30,
18,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,6,30,6,8,12,12,12,12,12,12,12,12,36,12,
12,12,60,12,36,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,60,36,12,12,36,36,12,36,12,36,12,60,12,12,36,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,60,12,12,12,12,12,60,12,12,36,12,12,12,12,12,60,36,12,60,12,12,36,
12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,36,36,36,36,12,36,36,12,36,12,12,
12,12,12,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,
24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
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,
24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,16,32,16,32,32,32,16,32,
32,32,32,32,32,64,32,32,64,64,32,6,6,10,12,3,3,3,3,3,15,3,4,20,4,12,6,6,6,6,6,
18,6,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,18,
6,18,18,6,6,6,6,8,8,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,36,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,36,12,12,12,12,12,
12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,72,24,24,24,24,24,24,24,24,24,24,24,24,4,4,16,16,16,32,16,
16,16,16,32,32,32,16,16,32,1,1,1,6,6,2,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,
6,6,6,18,6,6,6,6,6,6,18,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,18,6,12,12,12,12,12,
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,
12,12,12,12,12,4,4,8,8,4,8,8,8,16,32,16,16,6,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,2,15,15,
30,60,60,120,160,1,5,10,15,15,15,15,15,20,20,20,30,30,30,30,30,30,40,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,96,160,160,160,
320,320,5,10,10,15,15,15,15,15,15,20,20,20,20,20,20,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,40,40,40,40,40,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,96,96,96,192,192,40,80,80,80,80,160,160,160,160,320,320,5,6,
10,10,15,15,15,15,15,15,20,20,20,20,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,40,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
96,96,96,192,192,40,40,40,80,80,80,80,80,80,80,80,80,80,80,80,160,160,160,160,
160,160,160,6,10,12,15,15,15,15,15,15,15,20,20,20,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,40,40,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
120,120,96,10,20,40,40,40,80,80,80,80,80,80,80,80,80,80,80,80,160,16,16,32,1,
5,5,10,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,6,
10,10,10,20,20,20,20,40,40,40,80,16,16,32,32,32,32,32,15,15,15,30,6,6,6,12,12,
10,10,10,20,20,20,20,40,16,16,32,5,6,6,6,12,12,10,6,5,1],[1,1,2,15,15,30,60,
60,80,120,160,1,5,10,15,15,15,15,15,20,20,20,30,30,30,30,30,30,40,40,40,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,240,240,240,240,96,160,160,160,320,320,320,320,5,10,10,15,15,15,15,15,15,
20,20,20,20,20,20,20,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,40,40,40,
40,40,40,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,240,240,240,240,240,240,240,240,240,
240,240,240,96,96,96,192,192,40,80,80,80,80,160,160,160,160,160,160,160,160,
320,320,320,320,5,6,10,10,10,10,15,15,15,15,15,15,20,20,20,20,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,40,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,96,96,96,
192,192,192,192,40,40,40,80,80,80,80,80,80,80,80,80,80,80,80,80,80,160,160,
160,160,160,160,160,160,160,160,160,160,160,160,160,160,6,10,10,12,15,15,15,
15,15,15,15,20,20,20,20,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,40,40,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,120,120,120,120,120,120,120,120,120,120,120,120,120,96,96,96,
10,20,40,40,40,40,40,40,40,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,
80,80,80,160,160,16,16,32,1,5,5,10,10,10,15,15,15,15,15,15,15,15,15,15,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,6,96,10,10,10,20,
20,20,20,20,20,40,40,40,40,40,40,40,40,40,40,80,80,80,80,16,16,32,32,32,32,32,
32,32,10,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,6,6,6,12,12,10,10,10,10,10,10,10,20,20,20,20,20,20,20,20,20,20,40,40,16,
16,16,16,16,16,32,5,15,15,15,15,15,15,6,6,6,12,12,12,12,10,10,10,10,10,10,10,
20,20,16,16,15,6,6,6,5,10,6,5,1,1]],
[1,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,5,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,10,10,10,10,10,12,12,12,12,
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,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,20,20,20,
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,
24,24,24,24,24,24,24,24,24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,40,40,40,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,60,60,60,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,80,80,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,120,120,120,120,120,120,120,120,120,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,160,160,160,160,160,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,240,240,240,240,240,240,240,256,256,256,256,256,256,
256,320,320,320,320,320,320,320,384,384,384,384,384,384,384,384,384,480,480,
512,640,640,640,768,768,1280,1536,3840,7680],
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1080,1080,1080,1076,1070,1076,1055,1055,1057,1057,1059,1055,1046,1046,1038,
1002,1002,1003,1015,999,1015,1002,1003,1015,1015,1003,1015,1003,1002,1015,
1015,1004,1015,1015,1015,1002,998,876,928,876,881,876,876,904,876,876,876,876,
876,876,876,881,876,876,904,876,876,876,876,928,874,787,786,786,787,965,870,
870,870,623,615,623,615,1087,1085,1084,1080,1080,1080,1080,1080,1080,1076,
1073,1070,1070,1070,1070,1076,1059,1061,1060,1057,1055,1055,1058,1057,1059,
1061,1055,1059,1058,1060,1057,1057,1038,1046,1038,1038,1038,1038,1002,1003,
1002,1015,1002,1015,1015,1007,1015,1015,1004,1004,1003,1004,1003,1003,1015,
1007,1002,1002,998,1002,1004,1015,1002,1003,1002,1002,1002,1015,1003,1016,998,
1021,1004,1002,1003,1007,1004,1015,1015,1003,1015,1003,1002,1002,1004,1015,
1003,1002,1021,1002,1003,1002,1002,1003,1021,1015,1015,1016,1007,1003,1004,
1003,1002,884,904,935,904,876,876,876,876,876,876,876,881,933,884,904,876,897,
876,874,876,904,876,933,876,881,876,876,884,876,904,884,876,876,884,884,904,
904,903,933,876,942,928,876,904,876,876,935,881,935,876,876,874,904,881,876,
904,876,876,928,876,876,876,876,884,904,876,933,876,876,881,881,904,935,881,
904,876,881,902,904,876,904,884,876,904,876,881,876,876,904,904,881,904,904,
688,787,786,786,665,786,822,786,787,657,787,787,965,965,965,839,839,1046,988,
985,987,986,870,870,870,870,870,869,870,870,623,615,623,615,1087,1086,1085,
1085,1085,1085,1080,1080,1080,1080,1080,1080,1070,1076,1076,1076,1057,1055,
1058,1060,1059,1059,1055,1061,1055,1057,1055,1058,1061,1061,1060,1058,1055,
1059,1055,1057,1059,1059,1059,1057,1061,1061,1060,1057,1061,1057,1057,1057,
1058,1057,1059,1057,1058,1060,1058,1057,1059,1060,1057,1038,1020,1002,1002,
1015,1015,1003,1004,1002,1004,1015,1004,1004,1003,1002,1004,1015,1015,1003,
1003,1004,1015,1015,1007,1015,1002,1002,1004,1003,1004,1003,1007,1003,1002,
1002,1003,1015,1003,1003,1004,1016,1004,1004,1004,1003,1004,1015,1004,1016,
998,1002,1002,1004,1002,1002,1003,1015,1002,1004,1007,1002,1002,1007,1002,
1003,1002,1002,1003,1003,1004,1003,1007,1003,1003,1002,1004,1023,1003,1002,
1004,1004,1002,1003,1004,1002,1003,1003,1002,1021,1002,1002,1003,1002,1002,
1002,1004,1002,1003,1003,1003,1004,1003,1021,1004,1021,1021,1021,1017,1003,
1004,1021,1004,1004,1003,1009,1004,1002,1007,881,884,902,904,884,904,876,904,
876,935,933,897,904,876,935,884,903,935,876,904,920,876,902,935,935,902,935,
903,876,935,904,904,904,935,876,904,897,903,935,876,933,933,904,903,935,881,
933,876,884,933,876,881,876,904,876,897,897,904,933,881,933,933,924,904,904,
881,933,904,884,904,881,904,884,881,904,881,884,933,933,935,876,904,902,891,
904,876,935,881,881,884,876,933,876,965,965,965,839,838,837,839,1046,1046,
1046,984,986,987,979,987,985,988,987,987,979,987,984,987,987,855,870,853,870,
869,870,869,870,869,870,870,852,863,870,849,868,1086,1085,1085,1081,1080,1080,
1080,1080,1080,1080,1080,1076,1070,1077,1073,1058,1055,1059,1061,1059,1059,
1061,1057,1057,1060,1058,1061,1057,1058,1060,1059,1058,1059,1057,1057,1057,
1061,1055,1057,1061,1057,1060,1059,1059,1057,1057,1058,1060,1055,1055,1057,
1057,1060,1057,1057,1059,1058,1059,1059,1061,1055,1059,1059,1047,1038,1002,
1003,1002,1004,1015,1002,1002,1015,1004,1004,1002,1003,1004,1004,1002,1002,
1015,1002,1002,1012,1015,1004,1015,1002,1002,1007,1021,1007,1004,1007,1007,
1007,1007,1021,1021,1015,1003,1015,1003,1003,1002,1018,1021,1004,1004,1002,
1003,1003,1004,1002,1002,1003,1004,1006,1021,1004,1007,1003,1015,1004,1003,
1004,1015,1002,1007,1021,1002,1007,1021,1013,1002,1003,1003,1002,1004,1021,
1003,1013,1003,1004,1003,1003,1003,1004,1002,1002,1004,1003,1004,1004,1004,
1015,1015,1002,1004,1012,1004,1002,1007,1002,1003,998,1004,1021,1021,1002,
1002,1002,1021,1007,1006,1004,1004,1003,1003,1003,1003,1004,1014,1003,1018,
1003,1004,1008,1008,1003,1002,999,1007,902,935,903,904,904,933,933,935,935,
897,935,933,933,965,965,965,1085,1076,1046,1046,1046,1046,1046,1046,1046,985,
979,986,988,988,979,986,987,987,985,987,987,987,984,985,987,984,987,988,986,
869,870,1078,1079,1054,1089,1087,1087,1085,1085,1084,1080,1080,1080,1080,1080,
1080,1080,1080,1080,1080,1057,1058,1061,1057,1057,1059,1057,1057,1055,1057,
1058,1057,1059,1057,1055,1059,1059,1057,1060,1059,1058,1057,1060,1057,1059,
1055,1057,1057,1059,1059,1060,1059,1057,1059,1061,1059,1059,1061,1004,1014,
1004,1021,1015,1015,1021,1015,1003,1013,1021,1007,1013,1012,1004,1021,1007,
1004,1018,1012,1002,1003,1006,1007,1002,1015,1007,1002,1008,1003,1006,1003,
1018,1014,1002,1008,1086,965,1085,1085,1085,1076,1070,1073,1070,1077,1073,
1038,1037,1046,1047,1046,1046,1046,1046,1046,1046,985,986,987,988,1079,1078,
1053,1048,1050,1051,1054,1054,1054,1085,1080,1080,1080,1080,1080,1080,1080,
1061,1057,1058,1057,1057,1059,1060,1060,1061,1057,1055,1059,1058,1057,1057,
1059,1059,1059,1086,1086,1086,1081,1081,1085,1085,1085,1085,1085,1085,1085,
1070,1076,1076,1077,1076,1073,1073,1070,1077,1077,1046,1047,1079,1079,1078,
1078,1078,1079,1054,1087,1080,1080,1080,1080,1080,1080,1086,1086,1086,1081,
1081,1083,1082,1085,1085,1085,1085,1085,1085,1085,1076,1077,1078,1079,1080,
1086,1086,1086,1087,1085,1086,1087,1089,1089],
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1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,11,11,1,1,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,5,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
5,6,1,6,1,1,1,1,1,1,1,5,1,1,6,1,1,1,1,1,6,1,1,1,1,1,1,5,1,1,5,1,1,5,5,6,6,1,1,
1,2,4,1,6,1,1,1,5,1,1,1,1,6,1,1,6,1,1,4,1,1,1,1,5,6,1,1,1,1,5,5,6,1,5,1,1,5,1,
1,1,6,1,1,6,1,5,1,1,1,6,5,6,6,4,8,7,7,4,7,1,7,8,2,8,8,82,82,1,1,82,14,22,13,
21,20,11,1,1,11,11,31,1,11,11,11,11,11,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,
5,5,5,1,1,1,1,1,5,5,5,5,1,1,5,1,1,1,1,1,1,5,5,5,5,1,1,1,5,1,5,1,1,5,5,5,5,5,1,
1,1,5,1,6,1,1,6,4,6,5,1,1,5,1,6,4,1,1,6,6,4,1,1,5,1,1,1,4,6,5,6,5,6,5,1,6,1,5,
1,2,1,4,5,5,5,4,1,4,1,1,6,6,5,1,6,1,1,1,4,5,6,5,5,1,6,6,1,1,6,5,5,5,6,1,5,5,5,
6,6,5,2,6,1,2,1,1,6,6,5,6,6,6,6,6,6,5,5,6,6,1,2,6,5,2,5,5,5,5,5,2,5,1,2,1,5,2,
1,5,5,5,4,6,5,6,1,6,1,2,4,7,6,1,7,5,8,2,1,6,5,1,4,8,2,4,7,8,1,8,6,6,6,8,1,6,7,
8,2,1,7,8,6,8,7,5,8,1,5,4,1,5,1,6,1,7,7,6,8,5,7,7,1,6,6,5,8,6,5,6,5,6,5,5,6,5,
5,4,4,7,1,6,4,5,6,1,8,5,5,5,1,7,1,82,82,1,82,82,82,82,14,303,303,14,20,21,14,
21,13,22,21,306,303,306,303,306,306,307,11,22,2,31,85,31,85,31,11,11,304,13,
85,305,20,1,2,1,1,5,5,5,5,1,1,1,1,1,2,14,15,6,5,5,16,5,5,15,5,16,1,19,2,15,16,
5,15,4,15,2,4,19,1,5,19,15,16,5,16,5,5,5,16,6,6,1,5,5,15,4,5,15,2,4,19,6,16,
16,3,1,15,5,6,5,7,6,6,4,19,5,1,6,5,5,5,6,7,15,15,16,2,19,8,15,15,5,14,5,5,25,
25,26,26,27,27,1,6,8,16,16,5,15,5,19,19,15,6,6,19,15,6,16,4,4,16,19,25,16,7,
19,5,19,8,6,26,14,15,15,5,16,6,16,16,6,19,16,6,16,16,19,16,6,6,2,6,6,19,6,5,
19,19,7,8,15,19,16,19,5,26,15,6,4,19,27,27,15,1,5,14,15,2,19,19,16,16,16,5,19,
4,5,15,16,19,15,15,6,15,5,25,27,37,25,6,6,49,49,37,37,26,37,49,49,82,82,82,
323,334,14,303,303,303,303,14,14,305,303,307,304,22,303,307,21,306,305,306,
306,306,303,13,306,303,306,304,20,31,85,871,872,873,1,2,1,14,14,3,5,5,5,4,5,
15,15,5,16,16,15,15,19,26,15,14,25,26,6,19,15,25,27,25,6,27,16,25,16,27,15,19,
16,26,19,6,26,19,14,27,16,16,15,16,19,19,19,19,19,107,19,117,49,49,117,37,16,
108,117,120,108,108,19,117,120,19,118,108,15,16,107,120,15,37,120,15,118,16,
107,16,118,107,15,118,321,300,840,323,840,334,840,840,323,643,323,334,841,597,
693,303,303,597,91,597,303,605,601,306,606,872,871,872,872,871,871,873,873,
873,91,98,98,98,15,16,19,98,107,120,118,328,121,91,108,108,107,121,110,327,
118,120,328,117,117,327,321,964,964,321,964,840,323,840,840,323,323,840,840,
841,334,973,841,840,840,840,973,643,597,693,872,872,871,871,871,872,873,320,
329,328,331,327,326,330,964,964,321,964,964,964,964,967,840,840,632,840,967,
967,969,973,990,989,884,964,964,964,1055,967,1024,1084,1088,1088],
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1]],[[1,1,2,-1,1,-1,2,1]],[[1,1,2,1],[2,1,3,1,1,-2,3,1]]],[[[1,2],[3,1,2,1,1,
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35,53,99,111,205],[1,4,5,7,9,14,26,32,50,58,112,206],[1,4,7,9,14,30,37,42,94,
112,207],[1,2,4,8,9,15,17,21,40,50,51,100,118,119,126,208],[1,2,3,5,10,11,12,
16,41,45,52,54,114,121,122,209],[1,2,3,4,9,11,15,17,40,43,50,55,115,119,124,
210],[1,2,4,6,7,9,17,18,30,38,40,42,48,49,50,73,113,119,123,128,129,211],[1,2,
6,7,9,15,18,40,48,49,66,118,123,124,212],[1,2,3,6,7,8,10,11,18,21,27,36,41,45,
46,47,53,71,114,120,125,133,134,213],[1,2,5,6,7,10,12,18,28,32,41,44,46,47,52,
67,116,121,125,130,131,214],[1,2,5,8,10,12,16,21,41,52,53,101,117,120,121,
215],[1,2,3,6,7,8,9,11,18,21,27,36,40,43,48,49,51,71,115,123,126,127,132,
216],[1,2,4,8,9,15,17,21,40,42,51,100,113,124,126,217],[1,2,6,7,10,16,18,41,
46,47,74,117,122,125,218],[1,2,5,8,10,12,16,21,41,44,53,101,116,120,122,219],[
1,2,3,4,5,6,7,8,11,12,13,15,16,17,18,20,21,24,25,26,27,29,30,36,38,54,55,56,
59,61,62,65,66,69,71,73,77,80,83,84,100,138,139,140,145,153,162,166,220],[1,2,
3,4,5,6,7,8,11,12,14,15,16,17,18,21,22,24,26,27,28,31,32,33,36,54,55,57,58,60,
62,64,65,67,71,74,77,80,85,87,101,135,136,137,141,152,153,167,221],[1,2,4,6,7,
8,14,15,16,17,18,21,22,25,29,30,35,37,38,57,65,69,72,73,74,75,80,81,82,90,94,
100,136,142,145,149,158,159,161,222],[1,2,3,6,7,8,11,13,14,18,19,20,21,22,23,
25,27,29,31,33,35,36,56,57,60,61,63,64,68,69,71,72,76,78,79,81,82,84,85,88,89,
93,95,96,99,135,139,144,147,151,157,159,172,173,174,176,223],[1,2,4,5,6,7,8,
12,15,16,17,18,19,21,23,24,25,26,29,31,33,37,62,64,66,68,69,74,75,77,80,88,92,
96,98,100,101,147,148,149,152,155,166,169,224],[1,2,3,5,6,7,8,11,12,13,16,18,
20,21,25,27,28,29,32,34,36,37,54,56,61,67,69,70,71,74,75,84,97,101,102,104,
139,141,149,150,163,164,165,225],[1,2,3,4,6,7,8,11,14,15,17,18,21,22,27,30,31,
33,34,36,37,38,55,57,60,64,66,70,71,73,75,85,90,94,100,103,135,148,158,160,
162,163,168,226],[1,2,4,5,6,7,12,13,14,17,18,19,20,22,23,24,26,28,30,32,37,38,
56,57,58,59,62,63,67,68,73,75,76,78,79,83,86,87,90,91,92,94,97,98,102,137,138,
143,155,157,158,165,170,171,175,177,227],[1,2,4,5,6,7,8,12,14,15,17,18,21,22,
24,25,26,28,29,32,34,35,57,58,62,66,67,69,70,72,77,81,82,87,100,104,137,154,
156,159,160,164,166,228],[1,2,4,5,6,7,8,12,13,16,17,18,20,21,24,26,30,31,33,
34,35,38,56,59,62,64,70,72,73,74,80,83,89,99,101,103,138,142,144,150,152,154,
168,229],[1,2,3,4,5,6,7,8,11,12,15,16,17,18,19,21,23,24,26,27,34,35,36,37,54,
55,62,65,68,70,71,72,75,77,80,92,93,95,98,146,151,153,154,155,161,163,230],[1,
2,5,6,7,8,12,13,15,16,18,20,21,28,31,32,33,35,37,56,64,65,66,67,72,75,77,89,
97,99,101,102,140,144,148,156,161,165,167,231],[1,2,4,5,6,7,8,12,15,16,17,18,
19,21,23,25,28,29,30,31,32,33,34,38,64,65,67,68,69,70,73,77,80,86,88,91,96,
100,101,103,104,143,145,146,147,164,167,168,232],[1,2,3,4,5,6,7,8,11,12,15,16,
17,18,19,21,23,27,28,30,32,35,36,38,54,55,66,67,68,71,72,73,74,86,91,93,95,
100,101,141,142,143,151,156,162,169,233],[1,2,6,7,13,14,15,16,18,19,20,22,23,
34,56,57,63,65,66,68,70,74,76,78,79,136,140,146,150,157,160,169,234],[1,2,8,9,
10,21,40,41,51,53,105,120,126,179,182,235],[1,2,3,9,10,11,40,41,43,45,105,114,
115,179,181,236],[1,2,6,7,9,10,18,40,41,46,47,48,49,105,123,125,178,179,180,
237],[1,7,9,10,19,46,49,105,178,238],[1,7,9,10,23,46,49,105,178,239],[1,5,7,9,
10,32,44,46,49,52,105,130,178,184,240],[1,5,6,9,10,28,44,47,48,52,105,131,180,
184,241],[1,2,4,9,10,17,40,41,42,50,105,113,119,179,183,242],[1,2,9,10,15,40,
41,105,118,124,179,243],[1,3,6,8,9,10,27,43,45,47,48,51,53,105,127,134,180,
181,182,244],[1,2,9,10,16,40,41,105,117,122,179,245],[1,4,7,9,10,30,42,46,49,
50,105,128,178,183,246],[1,2,5,9,10,12,40,41,44,52,105,116,121,179,184,247],[
1,7,9,10,35,46,49,105,178,248],[1,3,7,8,9,10,36,43,45,46,49,51,53,105,132,133,
178,181,182,249],[1,4,6,9,10,38,42,47,48,50,105,129,180,183,250],[1,2,6,7,18,
34,39,70,106,107,108,187,188,251],[1,2,6,7,18,37,39,75,106,107,108,187,191,
252],[1,2,3,6,7,8,11,18,21,27,36,39,71,106,107,108,109,110,185,186,187,189,
190,253],[1,2,4,5,6,7,10,12,13,17,18,20,24,26,30,38,41,52,56,59,62,73,83,111,
121,138,192,203,254],[1,2,3,6,7,8,10,11,13,18,20,21,25,27,29,36,41,45,56,61,
69,71,84,111,114,139,192,200,255],[1,2,5,6,7,10,12,13,18,20,28,32,37,41,44,56,
67,75,97,102,111,116,165,192,201,256],[1,2,6,7,10,13,14,18,19,20,22,23,41,46,
47,56,57,63,68,76,78,79,111,125,157,192,194,197,257],[1,2,3,6,7,8,9,11,14,18,
21,22,27,31,33,36,40,43,57,60,64,71,85,112,115,135,193,202,258],[1,2,4,5,6,7,
9,12,14,17,18,22,24,26,28,32,40,50,57,58,62,67,87,112,119,137,193,206,259],[1,
2,6,7,9,14,15,16,18,22,40,57,65,74,112,124,136,193,260],[1,2,6,7,9,13,14,18,
19,20,22,23,40,48,49,56,57,63,68,76,78,79,112,123,157,193,195,196,261],[1,2,4,
6,7,9,14,17,18,22,30,37,38,40,42,57,73,75,90,94,112,113,158,193,207,262],[1,2,
6,7,8,9,14,18,21,22,25,29,35,40,51,57,69,72,81,82,112,126,159,193,204,263],[1,
2,6,7,9,14,15,18,22,34,40,57,66,70,112,118,160,193,264],[1,2,6,7,10,13,15,16,
18,20,41,56,65,66,111,122,140,192,265],[1,2,6,7,8,10,13,18,20,21,31,33,35,41,
53,56,64,72,89,99,111,120,144,192,205,266],[1,2,6,7,10,13,16,18,20,34,41,56,
70,74,111,117,150,192,267],[1,4,5,6,7,10,13,19,22,24,26,28,30,32,37,44,47,52,
59,76,87,90,91,92,102,111,131,170,197,201,203,268],[1,3,7,8,10,13,14,23,29,33,
35,36,45,46,53,60,61,78,81,88,93,99,111,133,173,194,200,205,269],[1,3,7,8,9,
13,14,23,29,33,35,36,43,49,51,60,61,78,81,88,93,99,112,132,173,195,202,204,
270],[1,4,5,7,10,13,14,23,26,30,32,37,44,46,52,58,59,78,86,94,98,102,111,130,
177,194,201,203,271],[1,3,6,7,8,10,13,19,22,27,29,31,33,35,36,45,47,53,61,76,
82,85,95,96,99,111,134,176,197,200,205,272],[1,4,5,7,9,13,14,23,26,30,32,37,
42,49,50,58,59,78,86,94,98,102,112,128,177,195,206,207,273],[1,3,6,7,8,9,14,
19,20,25,27,29,33,35,36,43,48,51,60,63,81,84,89,95,96,112,127,174,196,202,204,
274],[1,4,5,6,7,9,14,19,20,24,26,30,32,37,38,42,48,50,58,63,83,91,92,94,97,
112,129,175,196,206,207,275],[1,2,3,4,6,7,8,9,11,15,17,18,21,27,30,36,38,40,
42,43,48,49,50,51,55,66,71,73,100,113,115,118,119,123,124,126,127,128,129,132,
162,199,208,210,211,212,216,217,276],[1,2,3,5,6,7,8,10,11,12,16,18,21,27,28,
32,36,41,44,45,46,47,52,53,54,67,71,74,101,114,116,117,120,121,122,125,130,
131,133,134,141,198,209,213,214,215,218,219,277],[1,7,9,14,39,49,108,112,
278],[1,7,10,13,39,46,108,111,279],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,54,55,56,57,58,59,
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,
86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,135,136,137,138,
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,
177,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,280],[1,2,4,6,
7,9,10,17,18,30,38,40,41,42,46,47,48,49,50,73,105,113,119,123,125,128,129,178,
179,180,183,211,237,242,246,250,281],[1,2,3,6,7,8,9,10,11,18,21,27,36,40,41,
43,45,46,47,48,49,51,53,71,105,114,115,120,123,125,126,127,132,133,134,178,
179,180,181,182,213,216,235,236,237,244,249,282],[1,2,6,7,9,10,16,18,40,41,46,
47,48,49,74,105,117,122,123,125,178,179,180,218,237,245,283],[1,2,6,7,9,10,18,
19,23,40,41,46,47,48,49,68,105,123,125,178,179,180,237,238,239,284],[1,2,5,6,
7,9,10,12,18,28,32,40,41,44,46,47,48,49,52,67,105,116,121,123,125,130,131,178,
179,180,184,214,237,240,241,247,285],[1,2,6,7,9,10,18,35,40,41,46,47,48,49,72,
105,123,125,178,179,180,237,248,286],[1,2,6,7,9,10,15,18,40,41,46,47,48,49,66,
105,118,123,124,125,178,179,180,212,237,243,287],[1,2,3,4,9,10,11,15,17,40,41,
42,43,45,50,55,105,113,114,115,118,119,124,179,181,183,199,210,236,242,243,
288],[1,2,3,5,9,10,11,12,16,40,41,43,44,45,52,54,105,114,115,116,117,121,122,
179,181,184,198,209,236,245,247,289],[1,3,7,8,9,10,23,35,36,43,45,46,49,51,53,
93,105,132,133,178,181,182,239,248,249,290],[1,2,4,8,9,10,15,17,21,40,41,42,
50,51,53,100,105,113,118,119,120,124,126,179,182,183,208,217,235,242,243,
291],[1,2,5,8,9,10,12,16,21,40,41,44,51,52,53,101,105,116,117,120,121,122,126,
179,182,184,215,219,235,245,247,292],[1,3,7,8,9,10,19,35,36,43,45,46,49,51,53,
95,105,132,133,178,181,182,238,248,249,293],[1,4,5,7,9,10,19,30,32,42,44,46,
49,50,52,91,105,128,130,178,183,184,238,240,246,294],[1,4,5,7,9,10,23,30,32,
42,44,46,49,50,52,86,105,128,130,178,183,184,239,240,246,295],[1,2,3,6,7,8,11,
18,21,27,34,36,37,39,70,71,75,106,107,108,109,110,163,185,186,187,188,189,190,
191,251,252,253,296],[1,2,3,6,7,8,9,11,13,14,18,19,20,21,22,23,25,27,29,31,33,
35,36,40,43,48,49,51,56,57,60,61,63,64,68,69,71,72,76,78,79,81,82,84,85,88,89,
93,95,96,99,112,115,123,126,127,132,135,139,144,147,151,157,159,172,173,174,
176,193,195,196,202,204,216,223,258,261,263,270,274,297],[1,2,3,4,6,7,8,9,11,
14,15,17,18,21,22,27,30,31,33,34,36,37,38,40,42,43,55,57,60,64,66,70,71,73,75,
85,90,94,100,103,112,113,115,118,135,148,158,160,162,163,168,193,199,202,207,
226,258,262,264,298],[1,2,3,6,7,8,10,11,13,14,18,19,20,21,22,23,25,27,29,31,
33,35,36,41,45,46,47,53,56,57,60,61,63,64,68,69,71,72,76,78,79,81,82,84,85,88,
89,93,95,96,99,111,114,120,125,133,134,135,139,144,147,151,157,159,172,173,
174,176,192,194,197,200,205,213,223,255,257,266,269,272,299],[1,2,6,7,9,13,14,
15,16,18,19,20,22,23,34,40,48,49,56,57,63,65,66,68,70,74,76,78,79,112,118,123,
124,136,140,146,150,157,160,169,193,195,196,212,234,260,261,264,300],[1,2,4,6,
7,8,9,14,15,16,17,18,21,22,25,29,30,35,37,38,40,42,51,57,65,69,72,73,74,75,80,
81,82,90,94,100,112,113,124,126,136,142,145,149,158,159,161,193,204,207,217,
222,260,262,263,301],[1,2,3,5,6,7,8,10,11,12,13,16,18,20,21,25,27,28,29,32,34,
36,37,41,44,45,54,56,61,67,69,70,71,74,75,84,97,101,102,104,111,114,116,117,
139,141,149,150,163,164,165,192,198,200,201,225,255,256,267,302],[1,2,3,4,5,6,
7,8,9,11,12,14,15,16,17,18,21,22,24,26,27,28,31,32,33,36,40,43,50,54,55,57,58,
60,62,64,65,67,71,74,77,80,85,87,101,112,115,119,124,135,136,137,141,152,153,
167,193,202,206,210,221,258,259,260,303],[1,2,3,4,5,6,7,8,10,11,12,13,15,16,
17,18,20,21,24,25,26,27,29,30,36,38,41,45,52,54,55,56,59,61,62,65,66,69,71,73,
77,80,83,84,100,111,114,121,122,138,139,140,145,153,162,166,192,200,203,209,
220,254,255,265,304],[1,2,4,5,6,7,9,12,13,14,17,18,19,20,22,23,24,26,28,30,32,
37,38,40,42,48,49,50,56,57,58,59,62,63,67,68,73,75,76,78,79,83,86,87,90,91,92,
94,97,98,102,112,113,119,123,128,129,137,138,143,155,157,158,165,170,171,175,
177,193,195,196,206,207,211,227,259,261,262,273,275,305],[1,2,4,5,6,7,8,9,12,
14,15,17,18,21,22,24,25,26,28,29,32,34,35,40,50,51,57,58,62,66,67,69,70,72,77,
81,82,87,100,104,112,118,119,126,137,154,156,159,160,164,166,193,204,206,208,
228,259,263,264,306],[1,2,4,5,6,7,10,12,13,14,17,18,19,20,22,23,24,26,28,30,
32,37,38,41,44,46,47,52,56,57,58,59,62,63,67,68,73,75,76,78,79,83,86,87,90,91,
92,94,97,98,102,111,116,121,125,130,131,137,138,143,155,157,158,165,170,171,
175,177,192,194,197,201,203,214,227,254,256,257,268,271,307],[1,2,4,5,6,7,8,
10,12,13,16,17,18,20,21,24,26,30,31,33,34,35,38,41,52,53,56,59,62,64,70,72,73,
74,80,83,89,99,101,103,111,117,120,121,138,142,144,150,152,154,168,192,203,
205,215,229,254,266,267,308],[1,2,5,6,7,8,10,12,13,15,16,18,20,21,28,31,32,33,
35,37,41,44,53,56,64,65,66,67,72,75,77,89,97,99,101,102,111,116,120,122,140,
144,148,156,161,165,167,192,201,205,219,231,256,265,266,309],[1,2,6,7,10,13,
14,15,16,18,19,20,22,23,34,41,46,47,56,57,63,65,66,68,70,74,76,78,79,111,117,
122,125,136,140,146,150,157,160,169,192,194,197,218,234,257,265,267,310],[1,2,
6,7,10,13,18,20,39,41,46,47,56,106,107,108,111,125,187,192,279,311],[1,2,6,7,
9,14,18,22,39,40,48,49,57,106,107,108,112,123,187,193,278,312],[1,5,7,10,13,
32,37,39,44,46,52,102,108,111,130,191,201,279,313],[1,3,7,8,9,14,33,36,39,43,
49,51,60,108,109,110,112,132,189,202,278,314],[1,4,7,9,14,30,37,39,42,49,50,
94,108,112,128,191,207,278,315],[1,3,7,8,10,13,29,36,39,45,46,53,61,108,109,
110,111,133,189,200,279,316],[1,2,3,4,6,7,8,9,10,11,15,17,18,21,27,30,36,38,
40,41,42,43,45,46,47,48,49,50,51,53,55,66,71,73,100,105,113,114,115,118,119,
120,123,124,125,126,127,128,129,132,133,134,162,178,179,180,181,182,183,199,
208,210,211,212,213,216,217,235,236,237,242,243,244,246,249,250,276,281,282,
287,288,291,317],[1,2,3,5,6,7,8,9,10,11,12,16,18,21,27,28,32,36,40,41,43,44,
45,46,47,48,49,51,52,53,54,67,71,74,101,105,114,115,116,117,120,121,122,123,
125,126,127,130,131,132,133,134,141,178,179,180,181,182,184,198,209,213,214,
215,216,218,219,235,236,237,240,241,244,245,247,249,277,282,283,285,289,292,
318],[1,2,3,6,7,8,9,10,11,18,19,21,23,27,35,36,40,41,43,45,46,47,48,49,51,53,
68,71,72,93,95,105,114,115,120,123,125,126,127,132,133,134,151,178,179,180,
181,182,213,216,235,236,237,238,239,244,248,249,282,284,286,290,293,319],[1,2,
4,5,6,7,9,10,12,17,18,19,23,28,30,32,38,40,41,42,44,46,47,48,49,50,52,67,68,
73,86,91,105,113,116,119,121,123,125,128,129,130,131,143,178,179,180,183,184,
211,214,237,238,239,240,241,242,246,247,250,281,284,285,294,295,320],[1,2,4,6,
7,9,10,16,17,18,30,35,38,40,41,42,46,47,48,49,50,72,73,74,105,113,117,119,122,
123,125,128,129,142,178,179,180,183,211,218,237,242,245,246,248,250,281,283,
286,321],[1,2,5,6,7,9,10,12,15,18,28,32,35,40,41,44,46,47,48,49,52,66,67,72,
105,116,118,121,123,124,125,130,131,156,178,179,180,184,212,214,237,240,241,
243,247,248,285,286,287,322],[1,2,6,7,9,10,15,16,18,19,23,40,41,46,47,48,49,
66,68,74,105,117,118,122,123,124,125,169,178,179,180,212,218,237,238,239,243,
245,283,284,287,323],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,44,45,46,47,52,53,54,55,56,
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,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,111,
114,116,117,120,121,122,125,130,131,133,134,135,136,137,138,139,140,141,142,
143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,
162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,192,194,197,
198,200,201,203,205,209,213,214,215,218,219,220,221,222,223,224,225,226,227,
228,229,230,231,232,233,234,254,255,256,257,265,266,267,268,269,271,272,277,
280,299,302,304,307,308,309,310,324],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,40,42,43,48,49,
50,51,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,
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,
103,104,112,113,115,118,119,123,124,126,127,128,129,132,135,136,137,138,139,
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,
193,195,196,199,202,204,206,207,208,210,211,212,216,217,220,221,222,223,224,
225,226,227,228,229,230,231,232,233,234,258,259,260,261,262,263,264,270,273,
274,275,276,280,297,298,300,301,303,305,306,325],[1,2,3,6,7,8,10,11,13,18,20,
21,25,27,29,36,39,41,45,46,47,53,56,61,69,71,84,106,107,108,109,110,111,114,
120,125,133,134,139,185,186,187,189,190,192,200,213,253,255,279,311,316,326],[
1,2,6,7,10,13,16,18,20,34,39,41,46,47,56,70,74,106,107,108,111,117,122,125,
150,187,188,192,218,251,267,279,311,327],[1,2,5,6,7,10,12,13,18,20,28,32,37,
39,41,44,46,47,52,56,67,75,97,102,106,107,108,111,116,121,125,130,131,165,187,
191,192,201,214,252,256,279,311,313,328],[1,2,4,6,7,9,14,17,18,22,30,37,38,39,
40,42,48,49,50,57,73,75,90,94,106,107,108,112,113,119,123,128,129,158,187,191,
193,207,211,252,262,278,312,315,329],[1,2,3,6,7,8,9,11,14,18,21,22,27,31,33,
36,39,40,43,48,49,51,57,60,64,71,85,106,107,108,109,110,112,115,123,126,127,
132,135,185,186,187,189,190,193,202,216,253,258,278,312,314,330],[1,2,6,7,9,
14,15,18,22,34,39,40,48,49,57,66,70,106,107,108,112,118,123,124,160,187,188,
193,212,251,264,278,312,331],[1,2,3,4,5,6,7,8,9,10,11,12,15,16,17,18,19,21,23,
27,28,30,32,35,36,38,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,66,67,68,
71,72,73,74,86,91,93,95,100,101,105,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,128,129,130,131,132,133,134,141,142,143,151,156,162,169,
178,179,180,181,182,183,184,198,199,208,209,210,211,212,213,214,215,216,217,
218,219,233,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,
276,277,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,317,318,
319,320,321,322,323,332],[1,7,9,10,13,14,23,39,46,49,78,105,108,111,112,178,
194,195,239,278,279,333],[1,2,3,5,6,7,8,10,11,12,13,16,18,20,21,25,27,28,29,
32,34,36,37,39,41,44,45,46,47,52,53,54,56,61,67,69,70,71,74,75,84,97,101,102,
104,106,107,108,109,110,111,114,116,117,120,121,122,125,130,131,133,134,139,
141,149,150,163,164,165,185,186,187,188,189,190,191,192,198,200,201,209,213,
214,215,218,219,225,251,252,253,255,256,267,277,279,296,302,311,313,316,326,
327,328,334],[1,2,3,4,6,7,8,9,11,14,15,17,18,21,22,27,30,31,33,34,36,37,38,39,
40,42,43,48,49,50,51,55,57,60,64,66,70,71,73,75,85,90,94,100,103,106,107,108,
109,110,112,113,115,118,119,123,124,126,127,128,129,132,135,148,158,160,162,
163,168,185,186,187,188,189,190,191,193,199,202,207,208,210,211,212,216,217,
226,251,252,253,258,262,264,276,278,296,298,312,314,315,329,330,331,335],[1,2,
6,7,9,10,13,14,18,19,20,22,23,39,40,41,46,47,48,49,56,57,63,68,76,78,79,105,
106,107,108,111,112,123,125,157,178,179,180,187,192,193,194,195,196,197,237,
238,239,257,261,278,279,284,311,312,333,336],[1,4,5,7,9,10,13,14,23,26,30,32,
37,39,42,44,46,49,50,52,58,59,78,86,94,98,102,105,108,111,112,128,130,177,178,
183,184,191,194,195,201,203,206,207,239,240,246,271,273,278,279,295,313,315,
333,337],[1,3,7,8,9,10,13,14,23,29,33,35,36,39,43,45,46,49,51,53,60,61,78,81,
88,93,99,105,108,109,110,111,112,132,133,173,178,181,182,189,194,195,200,202,
204,205,239,248,249,269,270,278,279,290,314,316,333,338],[1,2,4,5,6,7,9,10,12,
13,14,17,18,19,20,22,23,24,26,28,30,32,37,38,39,40,41,42,44,46,47,48,49,50,52,
56,57,58,59,62,63,67,68,73,75,76,78,79,83,86,87,90,91,92,94,97,98,102,105,106,
107,108,111,112,113,116,119,121,123,125,128,129,130,131,137,138,143,155,157,
158,165,170,171,175,177,178,179,180,183,184,187,191,192,193,194,195,196,197,
201,203,206,207,211,214,227,237,238,239,240,241,242,246,247,250,252,254,256,
257,259,261,262,268,271,273,275,278,279,281,284,285,294,295,305,307,311,312,
313,315,320,328,329,333,336,337,339],[1,2,3,6,7,8,9,10,11,13,14,18,19,20,21,
22,23,25,27,29,31,33,35,36,39,40,41,43,45,46,47,48,49,51,53,56,57,60,61,63,64,
68,69,71,72,76,78,79,81,82,84,85,88,89,93,95,96,99,105,106,107,108,109,110,
111,112,114,115,120,123,125,126,127,132,133,134,135,139,144,147,151,157,159,
172,173,174,176,178,179,180,181,182,185,186,187,189,190,192,193,194,195,196,
197,200,202,204,205,213,216,223,235,236,237,238,239,244,248,249,253,255,257,
258,261,263,266,269,270,272,274,278,279,282,284,286,290,293,297,299,311,312,
314,316,319,326,330,333,336,338,340],[1,2,6,7,9,10,13,14,15,16,18,19,20,22,23,
34,39,40,41,46,47,48,49,56,57,63,65,66,68,70,74,76,78,79,105,106,107,108,111,
112,117,118,122,123,124,125,136,140,146,150,157,160,169,178,179,180,187,188,
192,193,194,195,196,197,212,218,234,237,238,239,243,245,251,257,260,261,264,
265,267,278,279,283,284,287,300,310,311,312,323,327,331,333,336,341],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,2,1],[1,1,2,
1],[1,3,1],[1,3,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,1],[1,2,1,1],[1,
1,2,1],[1,2,1,1],[1,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,1],[1,2,1,
1],[1,1,2,1],[1,2,1,1],[1,1,2,1],[1,2,1,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,1,1,
1],[1,1,1],[1,2,1,1],[1,1],[1,1,1,1],[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],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,
1],[1,3,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,
3,3,1],[1,1,3,3,1,3,3,1],[1,3,1,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,
1],[1,1,2,2,1,1,1,1,1,2,2,1],[1,2,3,1,1,1,1],[1,1,1,1,4,1,2,2,2,1],[1,1,1,1,1,
1,1,1],[1,1,1,1,2,1,1],[1,1,4,1,1,2,1,2,2,1],[1,1,1,1,1,1,1,1],[1,1,1,1,4,1,2,
2,2,1],[1,1,1,1,1,2,1],[1,1,2,1,1,2,1,1,1,2,2,1],[1,1,1,1,1,2,1],[1,1,4,1,1,2,
1,2,2,1],[1,1,1,1,2,1,1],[1,1,1,1,1,2,1],[1,2,3,1,1,1,1],[1,1,2,2,1,1,1,1],[1,
5,1,1,1,1],[1,4,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,2,1,1,1,
1],[1,3,1,2,1,1,2,1,1,2,1],[1,1,2,1,3,1,2,2,1,1,1],[1,1,2,1,3,1,2,2,1,1,1],[1,
2,2,1,1,1,1,1],[1,1,3,2,1,1,2,1,2,1,1],[1,1,4,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,
2,1,1,1,1,1],[1,2,2,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,2,3,1,1,
1,1],[1,1,1,1,1,1,1,1],[1,1,4,1,1,1,1],[1,2,2,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,
3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,2,1,1,
1,1],[1,2,1,2,1,1,1,1],[1,2,2,1],[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],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,2,1,1,1,
2,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,
3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1,1,1],[
1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,
1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,
1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,2,3,3,6,1,1,3,3,3,6,6,
6,6,1,2,3,3,6,1],[1,1,3,3,1,1,3,3,3,1,3,3,1],[1,1,2,6,3,3,3,1,1,3,3,6,6,6,6,1,
2,3,3,6,1],[1,1,6,2,3,3,1,1,3,3,3,6,6,6,6,1,2,3,3,6,1],[1,1,2,3,3,6,1,1,3,3,3,
6,6,6,6,1,2,3,3,6,1],[1,1,3,3,1,3,1,3,3,1,3,3,1],[1,1,2,4,1,1,2,1,2,2,1,1,2,2,
2,2,2,1,1,1,2,1],[1,1,4,1,1,2,2,1,2,2,2,1,1,1,1],[1,1,4,4,1,1,2,2,1,1,1,2,2,2,
2,1,1,1,2,2,1],[1,1,3,3,4,1,3,3,2,2,2,2,1,1,1,2,2,1],[1,1,4,1,1,4,1,1,2,1,2,2,
2,2,2,1,1,1,2,2,1],[1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,1,1,1,8,1,1,4,1,2,2,2,2,1,
1,1,2,2,1],[1,1,1,1,4,2,1,2,2,2,2,1,1,1,1],[1,1,1,1,4,2,1,2,2,2,2,1,1,1,1],[1,
1,3,3,1,2,3,3,2,1,1,1,1],[1,1,2,1,1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,2,2,1,
1,4,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,2,1,1,1,1,1,1,1,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,2,2,1,1,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,2,1,1,1,1,1,1,1,2,2,2,
1,1,1,2,2,1],[1,1,4,1,1,2,2,1,2,2,2,1,1,1,1],[1,1,5,5,1,1,5,1,3,3,1,1,1,1,1,1,
1,1,1],[1,1,4,3,3,1,2,3,3,2,2,2,1,1,1,2,2,1],[1,1,3,3,4,1,3,2,3,2,2,2,1,1,1,2,
2,1],[1,1,3,3,1,2,3,3,2,1,1,1,1],[1,1,1,1,1,1,1,2,2,1,1,1,1],[1,1,2,4,1,1,2,1,
2,2,1,1,2,2,2,2,2,1,1,1,2,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,4,1,1,4,
2,1,2,2,2,2,2,2,1,1,1,4,1],[1,1,4,3,3,2,1,3,3,2,2,2,1,1,1,2,2,1],[1,1,2,2,1,1,
4,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,4,1,1,4,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[
1,1,4,1,1,4,2,1,2,2,2,2,2,2,1,1,1,4,1],[1,1,1,1,2,2,1,1,1,1,1,1,1],[1,3,3,2,3,
1,1,1,2,3,2,3,1,1,1,1,1,1,1,1,1,1],[1,3,3,4,1,1,1,1,4,1,2,1,1,1,2,1,1,1,1,1,1,
1,1],[1,1,4,1,5,1,1,1,2,4,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,1,3,3,1,5,1,
1,1,1,1,1,1,1],[1,1,2,3,5,1,1,1,2,2,1,3,1,3,1,1,1,1,1,1,1,1],[1,3,3,2,3,1,1,1,
2,3,1,3,1,2,1,1,1,1,1,1,1,1],[1,1,2,3,5,1,1,1,2,3,2,1,1,3,1,1,1,1,1,1,1,1],[1,
3,3,5,1,1,1,5,3,3,1,1,1,1,1,1,1,1,1],[1,9,2,2,6,6,1,1],[1,1,2,2,2,2,1,1],[1,9,
2,2,6,6,1,1],[1,1,2,2,2,2,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,
3,1,1],[1,1,2,1,1,1,2,1],[1,1,10,5,1,1,2,1],[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],[1,1,5,5,5,1,1,1,1,1],[1,5,5,1,1,1],[1,1,3,3,4,1,3,3,
4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,9,4,3,1,3,4,3,1,
1],[1,6,3,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,
1,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,6,3,4,1,
3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,
3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,6,3,4,1,3,3,4,
3,1,1],[1,1,2,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,
1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,8,3,3,1,4,3,6,6,1,2,1,1,2,3,1,1,1,2,2,1],[
1,1,3,3,1,4,3,1,1,1,3,1,1,1,1],[1,1,2,3,3,6,1,1,3,3,6,6,1,2,1,1,2,3,1,1,1,2,2,
1],[1,1,8,3,3,1,4,3,6,6,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,
1,1],[1,1,2,3,3,6,1,1,3,3,6,6,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,6,6,1,1,3,3,1,2,2,
3,1,1,1,1],[1,1,3,3,1,4,3,1,1,1,3,1,1,1,1],[1,1,6,6,1,3,1,3,1,2,2,3,1,1,1,1],[
1,1,2,6,2,3,3,6,1,1,1,3,1,3,3,3,3,6,6,6,6,6,6,6,6,1,3,1,2,2,3,3,3,3,3,3,3,3,6,
6,6,1,1,1,3,3,3,3,1],[1,1,2,2,6,3,3,6,1,3,1,1,3,1,3,3,3,6,6,6,6,6,6,6,6,3,1,1,
2,2,3,3,3,3,3,3,3,3,6,6,6,1,1,1,3,3,3,3,1],[1,1,4,3,3,4,1,1,3,2,3,2,3,2,2,2,2,
2,2,1,3,1,1,1,3,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,5,5,10,1,1,1,5,1,3,5,3,
1,6,10,6,6,6,2,10,1,1,2,2,1,3,1,3,5,1,1,1,1,2,2,6,6,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,2,2,1,1,8,1,2,2,1,1,1,4,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,3,3,6,1,2,1,2,3,3,3,6,6,2,6,2,2,6,2,2,1,2,1,
3,1,3,1,1,6,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,3,3,6,1,1,2,2,3,3,3,6,2,6,6,2,6,
2,2,2,1,2,3,1,1,3,1,1,6,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,6,6,5,5,3,1,1,3,5,1,3,3,
1,10,10,6,6,6,2,6,1,1,2,2,5,1,3,1,3,1,1,1,1,6,2,6,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,2,6,3,3,4,3,1,2,1,3,2,3,6,2,6,6,2,6,2,2,1,2,3,1,3,1,1,1,2,2,2,
6,2,4,1,1,1,1,1,1,1,1],[1,1,6,2,3,3,4,1,1,2,3,3,3,2,6,6,6,2,2,2,2,6,1,2,3,1,1,
1,3,1,2,6,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,4,2,1,3,1,3,3,
2,2,2,2,2,2,2,1,1,3,3,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,1,1,8,2,1,1,
2,1,1,4,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,
1],[1,1,2,4,4,1,1,2,1,2,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,3,3,5,1,3,3,1,2,1,1,1,5,3,1,1,3,1,1,1,1,1,1,
1,1,1,1,1],[1,1,18,2,2,9,2,2,12,12,1,6,6,1,2,1],[1,1,2,2,2,1,2,2,4,4,1,2,2,1,
2,1],[1,1,9,9,2,2,9,2,2,6,6,6,6,1,6,6,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,2,2,
9,6,6,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[
1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,1,9,9,2,2,9,2,2,
6,6,6,6,1,6,6,1,1,1,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,
1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,1,9,9,2,2,9,2,2,
6,6,6,6,1,6,6,1,1,1,1],[1,6,9,2,2,9,2,6,6,6,1,6,1,2,1],[1,1,5,5,5,10,1,5,1,1,
1,1,2,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,1,2,5,5,10,1,5,5,10,10,1,5,1,1,1,2,
2,1,1,1,2,2,1],[1,1,6,2,3,3,4,1,1,3,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,
1,2,3,3,6,4,1,1,3,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,12,3,3,4,6,1,3,
3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,9,9,4,1,3,9,3,3,9,3,4,4,4,1,3,3,3,3,3,
3,1,4,3,1,1,1,1],[1,1,2,3,3,6,4,1,1,3,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[
1,1,2,6,3,3,4,3,1,1,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,3,3,4,1,1,3,3,
3,4,1,3,3,1,4,1,1,1],[1,1,9,9,4,3,1,9,3,9,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,12,3,3,4,1,6,3,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,3,3,12,4,1,3,6,
3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,3,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,
1,3,3,4,1,3,1,3,3,4,1,3,3,1,4,1,1,1],[1,1,3,3,12,4,1,3,3,6,6,6,6,4,8,1,3,3,6,
6,1,4,3,1,2,1],[1,1,3,3,4,1,6,3,3,6,4,1,3,3,1,4,3,1,1],[1,3,7,6,3,4,1,3,3,6,3,
6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,3,3,9,3,9,4,4,4,3,1,
3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,3,9,3,3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,3,7,9,4,1,3,3,9,3,9,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,3,9,
4,1,3,3,6,3,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,7,3,9,4,3,1,3,9,9,3,
3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,3,9,4,1,3,3,6,6,3,3,3,3,4,4,4,1,3,
3,3,3,3,3,1,4,3,1,1,1,1],[1,7,3,6,3,4,1,3,3,6,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,1,2,8,3,3,6,1,1,4,4,3,3,6,6,6,6,1,2,2,1,1,2,2,4,3,3,3,6,1,1,1,
1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,1,2,8,3,3,6,1,1,4,4,3,3,6,6,6,6,1,2,2,1,
1,2,2,4,3,3,3,6,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,15,10,5,6,10,6,5,
1],[1,15,10,5,6,10,6,5,1],[1,1,2,6,6,5,5,10,1,3,1,1,3,3,3,5,1,3,5,3,1,10,6,10,
10,6,6,6,6,6,6,2,2,10,2,6,3,3,1,1,2,2,2,2,5,1,3,5,3,3,1,3,1,5,1,3,3,1,1,5,1,1,
5,2,2,6,6,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,4,4,1,1,1,1,1,1,3,1,1,1,3,1,1,1,
1,1,1,3,5,1,1,1,1,1,1,1,1,3,1,1,1,3,3,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,12,9,9,2,2,6,9,18,18,2,2,4,6,6,6,6,12,9,1,2,6,6,6,12,12,1,1,
1,4,6,1,2,2,2,1],[1,1,2,9,9,18,2,2,1,9,9,18,18,2,2,4,4,6,6,6,6,12,12,9,1,2,2,
6,6,6,6,12,12,12,12,1,1,1,2,2,6,6,1,1,1,2,2,1],[1,1,9,9,2,2,6,9,2,2,6,6,6,6,9,
1,2,6,6,6,1,1,1,6,1,2,1],[1,1,9,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,1,1,1,1,1,
1],[1,1,12,9,9,2,2,6,9,18,18,2,2,4,6,6,6,6,12,9,1,2,6,6,6,12,12,1,1,1,4,6,1,2,
2,2,1],[1,1,9,9,2,2,9,18,2,2,6,6,6,6,9,1,6,6,1,1,1,1,2,1],[1,1,9,9,2,2,6,9,2,
2,6,6,6,6,9,1,2,6,6,6,1,1,1,6,1,2,1],[1,1,2,6,2,2,1,3,3,2,2,2,4,4,6,3,1,1,2,2,
1,3,3,1,2,2,1,3,1,1,1,1],[1,1,2,6,2,2,1,3,3,2,2,4,2,4,6,3,1,2,2,1,1,3,3,1,2,2,
1,3,1,1,1,1],[1,1,9,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,1,6,18,
2,2,3,3,9,2,2,2,6,12,12,9,1,1,1,3,6,3,6,1,2,2,3,3,1,1,1,1],[1,1,6,18,2,2,3,3,
9,2,2,2,12,6,12,9,1,1,1,6,3,3,6,1,2,2,3,3,1,1,1,1],[1,1,9,9,2,2,9,9,9,2,2,6,6,
6,6,9,1,6,6,1,1,1,1,1,1,1],[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],[1,6,6,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,2,2,1,1,1,1],[1,1,2,5,5,10,1,5,5,
10,10,10,10,1,5,5,5,1,1,1,2,2,5,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,9,9,18,4,1,3,1,
9,3,9,9,3,3,18,18,18,6,6,6,18,4,8,4,4,8,3,1,2,6,3,3,3,9,9,3,3,3,3,6,6,18,6,6,
6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,2,
12,3,3,6,4,1,1,6,6,3,3,3,6,6,6,6,6,6,6,6,4,8,8,6,1,2,3,3,3,3,3,3,6,6,6,6,12,1,
4,4,4,1,3,3,3,3,3,3,1,4,2,2,3,1,1,1,1],[1,1,2,9,9,18,4,1,1,3,9,3,3,9,9,3,6,18,
6,18,18,6,18,4,8,4,4,8,1,3,6,2,3,9,3,3,9,3,3,3,3,6,6,6,18,6,6,6,6,6,6,1,4,4,4,
8,8,3,1,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,9,9,4,3,1,7,3,9,3,9,
3,3,6,4,4,4,3,1,3,9,9,3,3,3,3,3,3,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,
1,12,3,3,12,4,1,1,3,6,3,6,3,6,6,6,6,6,6,4,8,8,1,3,3,3,3,3,3,6,6,6,6,6,6,1,4,4,
4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,2,12,3,3,6,4,1,6,1,6,3,3,3,6,6,6,6,6,
6,6,6,4,8,8,6,1,2,3,3,3,3,3,3,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,4,2,2,3,1,1,
1,1],[1,1,2,2,6,3,3,6,4,1,3,1,1,3,1,3,3,3,6,6,6,6,6,6,6,6,4,8,8,3,1,1,2,2,3,3,
3,3,3,3,3,3,6,6,6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,2,6,2,3,3,6,4,
1,1,1,3,1,3,3,3,3,6,6,6,6,6,6,6,6,4,8,8,1,3,1,2,2,3,3,3,3,3,3,3,3,6,6,6,1,4,4,
4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,14,6,9,9,4,3,3,1,7,9,3,9,3,3,18,18,6,
18,6,6,18,4,8,4,4,8,3,1,2,6,9,3,3,3,9,3,3,3,3,18,6,6,6,6,6,6,6,6,6,1,4,4,4,8,
8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,2,6,3,3,12,4,3,1,6,1,
3,6,3,6,6,6,6,6,6,6,6,4,8,8,1,2,3,3,3,3,3,3,6,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,
3,1,2,2,4,3,1,1,1,1],[1,1,6,14,9,9,4,7,1,3,3,9,3,3,9,3,18,18,18,6,18,6,6,4,8,
4,4,8,1,3,6,2,9,3,9,3,3,3,3,3,3,6,6,18,6,6,6,6,6,6,6,1,4,4,4,8,8,3,1,3,3,3,3,
3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,2,3,3,12,4,1,1,6,3,3,3,6,6,6,6,6,
6,6,6,6,4,8,8,1,2,3,3,3,3,3,3,6,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,
1,1,1],[1,1,12,3,3,12,4,6,1,3,1,3,3,6,6,6,6,6,6,6,4,8,8,1,3,3,3,3,3,3,6,6,6,6,
6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,9,9,4,1,3,3,7,9,3,3,9,3,6,4,
4,4,1,3,3,9,3,3,3,9,3,3,3,1,4,4,4,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,15,15,
10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,
5,6,6,6,5,10,6,5,1,1],[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],[1,10,15,10,5,15,15,6,10,10,
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],[
1,1,2,12,9,9,18,2,2,1,6,6,9,9,18,18,18,18,2,2,4,4,4,6,6,6,6,12,12,12,6,9,9,9,
18,1,2,2,2,2,6,6,6,6,6,6,12,12,12,12,12,12,9,1,1,1,2,2,4,2,6,6,6,6,6,6,6,1,1,
1,2,2,2,2,2,2,6,1,1,1,2,2,1],[1,1,2,12,9,9,18,2,2,1,6,6,9,9,18,18,18,18,2,2,4,
4,4,6,6,6,6,12,12,12,6,9,9,9,18,1,2,2,2,2,6,6,6,6,6,6,12,12,12,12,12,12,9,1,1,
1,2,2,4,2,6,6,6,6,6,6,6,1,1,1,2,2,2,2,2,2,6,1,1,1,2,2,1],[1,1,2,9,9,18,2,2,1,
9,9,9,9,18,18,18,2,2,4,4,6,6,6,6,12,12,9,9,9,18,18,1,2,2,6,6,6,6,12,12,12,12,
9,1,1,1,2,2,6,6,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,12,12,9,9,2,2,6,6,9,9,9,18,
18,18,18,2,2,4,4,6,6,6,6,12,12,9,9,9,18,18,1,2,2,6,6,6,6,12,12,12,12,9,1,1,1,
4,4,6,6,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,12,9,9,2,2,6,6,9,18,18,18,2,2,4,6,
6,6,6,12,9,9,9,1,2,2,6,6,6,6,12,12,9,1,1,1,4,6,6,1,2,2,2,2,2,1,1,1,1],[1,1,12,
9,9,2,2,6,6,9,18,18,18,2,2,4,6,6,6,6,12,9,9,9,1,2,2,6,6,6,6,12,12,9,1,1,1,4,6,
6,1,2,2,2,2,2,1,1,1,1],[1,1,9,9,2,2,6,6,9,9,9,2,2,6,6,6,6,9,9,9,1,2,2,6,6,6,6,
9,1,1,1,6,6,1,1,1,2,2,1,1,1,1],[1,1,2,6,14,9,9,18,4,1,7,1,3,3,7,3,9,3,3,9,9,3,
18,6,18,18,18,6,6,18,18,18,6,6,18,6,6,4,8,8,4,4,8,8,7,3,1,3,6,2,6,2,9,3,9,9,3,
9,3,3,3,9,3,3,9,3,3,9,3,3,9,6,6,6,6,18,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,12,
12,1,4,4,4,4,4,4,4,8,8,8,8,3,3,3,1,1,1,9,3,3,3,3,3,3,3,3,3,3,9,9,3,3,3,3,3,3,
3,3,3,3,3,3,3,9,3,3,6,6,6,6,6,6,6,6,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,2,14,6,9,9,18,
4,1,3,3,1,7,3,7,9,3,9,9,3,3,18,18,18,18,6,18,18,6,6,6,6,6,18,6,18,4,8,8,4,4,8,
8,3,7,3,1,2,6,2,6,9,3,3,9,9,3,3,9,3,9,3,9,3,3,3,9,3,3,9,6,6,18,18,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,18,6,6,12,12,1,4,4,4,4,4,4,4,8,8,8,8,1,1,1,3,3,3,3,3,3,3,9,
3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,9,3,3,3,9,3,3,3,6,6,6,6,6,6,6,6,1,1,1,4,2,2,2,
2,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,
1,1,1,1],[1,1,2,15,15,30,10,1,5,15,15,15,30,30,30,30,6,10,20,10,10,20,5,10,15,
15,30,6,6,6,12,12,5,10,10,10,20,20,5,6,6,6,12,12,5,10,10,6,5,1,1,2,1],[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],[1,1,20,15,15,10,10,5,15,15,30,30,30,6,10,20,10,10,20,5,15,15,30,30,6,6,6,
5,10,10,10,20,20,15,6,12,5,10,10,6,5,1,1,2,1],[1,1,20,15,15,10,5,10,15,15,30,
30,30,6,10,20,10,10,20,5,15,15,30,30,6,6,6,5,10,10,10,20,20,15,6,12,5,10,10,6,
5,1,1,2,1],[1,1,2,15,15,30,10,1,5,15,15,15,30,30,30,30,6,10,20,10,10,20,5,10,
15,15,30,6,6,6,12,12,5,10,10,10,20,20,5,6,6,6,12,12,5,10,10,6,5,1,1,2,1],[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],[1,1,2,12,12,9,9,18,2,2,1,6,6,6,6,9,9,9,9,18,18,18,18,18,18,18,2,2,4,4,4,
4,6,6,6,6,12,12,12,12,6,6,9,9,9,9,9,9,9,18,18,18,18,18,18,1,2,2,2,2,2,2,6,6,6,
6,6,6,6,6,12,12,12,12,12,12,12,12,9,9,9,9,9,9,9,1,1,1,2,2,4,4,2,2,6,6,6,6,6,6,
6,6,6,6,6,6,9,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,6,6,1,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,6,
6,1],[1,1,2,20,15,15,30,10,1,10,5,10,15,15,15,30,30,30,30,30,30,30,30,6,10,20,
20,10,10,20,20,10,5,10,15,15,15,15,15,15,30,30,30,30,60,6,6,6,12,12,5,10,10,
10,10,10,10,10,20,20,20,20,5,15,15,15,15,15,15,6,6,6,12,12,12,12,5,10,10,10,
10,10,10,10,10,10,15,6,6,6,5,5,5,10,1,6,5,1,2,2,1,1,1,1],[1,1,2,20,15,15,30,
10,1,5,10,10,15,15,15,30,30,30,30,30,30,30,30,6,10,20,20,10,10,20,20,10,5,10,
15,15,15,15,15,15,30,30,30,30,60,6,6,6,12,12,5,10,10,10,10,10,10,10,20,20,20,
20,5,15,15,15,15,15,15,6,6,6,12,12,12,12,5,10,10,10,10,10,10,10,10,10,15,6,6,
6,5,5,5,10,1,6,5,1,2,2,1,1,1,1],[1,1,45,45,20,20,15,15,45,45,45,45,45,36,20,
20,60,60,60,60,15,15,45,45,45,45,45,10,36,36,36,15,15,60,60,45,10,10,10,36,15,
15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,15,15,45,20,20,15,15,45,45,
45,45,45,36,20,20,60,60,60,60,15,15,45,45,45,45,45,10,36,15,15,60,60,45,10,20,
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,
45,45,45,45,45,36,20,20,60,60,60,60,15,15,45,45,45,45,45,10,36,36,36,15,15,60,
60,45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,30,30,
45,45,20,20,15,15,15,15,45,45,45,45,45,90,90,90,90,90,90,90,36,20,20,40,40,60,
60,60,60,120,120,15,15,30,30,45,45,45,45,45,45,45,45,45,90,90,90,90,90,90,90,
90,90,90,10,36,36,36,15,15,20,20,60,60,60,60,120,120,120,120,15,15,45,45,45,
45,45,90,90,90,90,10,10,10,40,40,36,72,15,15,15,15,15,15,30,30,30,30,60,60,45,
10,10,10,20,20,20,20,20,20,36,15,15,15,15,15,15,30,30,30,30,6,6,10,10,10,20,
20,15,15,6,6,12,12,10,6,6,1,1,2,1],[1,1,2,45,45,90,20,20,1,15,15,45,45,45,45,
45,45,90,90,90,90,90,90,90,36,20,20,40,40,60,60,60,60,120,120,15,15,30,30,45,
45,45,45,45,45,45,45,45,90,90,90,90,90,90,90,90,90,90,10,36,36,36,72,72,15,15,
20,20,60,60,60,60,120,120,120,120,15,15,45,45,45,45,45,90,90,90,90,10,10,10,
20,20,36,36,36,72,72,15,15,15,15,15,15,30,30,30,30,60,60,45,10,10,10,10,10,20,
20,20,36,15,15,15,15,15,15,30,30,30,30,6,6,10,10,10,20,20,15,15,6,6,12,12,10,
6,6,1,1,2,1],[1,1,45,45,20,20,15,15,15,15,45,45,45,45,45,90,36,20,20,60,60,60,
60,15,15,45,45,45,45,45,45,45,45,45,10,36,36,36,15,15,20,20,60,60,60,60,15,15,
45,45,45,45,45,10,10,10,36,72,15,15,15,15,15,15,60,60,45,10,10,10,20,20,36,15,
15,15,15,15,15,6,6,10,10,10,15,15,6,6,10,6,6,1,1,1],[1,1,2,30,30,45,45,90,20,
20,1,15,15,15,15,15,15,45,45,45,45,45,45,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,36,20,20,40,40,40,40,60,60,60,60,120,120,120,120,15,15,15,15,30,30,
30,30,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,180,180,10,36,36,36,72,72,
15,15,20,20,20,20,20,20,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,
120,15,15,15,15,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,90,90,90,90,10,10,10,20,20,40,40,
36,36,36,72,72,72,72,15,15,15,15,15,15,20,20,30,30,30,30,30,30,30,30,60,60,60,
60,60,60,60,60,60,60,60,60,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,10,10,
10,10,10,20,20,20,20,20,20,20,20,20,20,20,36,36,36,15,15,15,15,15,15,15,15,15,
15,15,15,15,15,30,30,30,30,30,30,30,30,60,60,6,6,45,10,10,10,10,10,10,10,20,
20,20,20,20,20,20,20,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,12,12,
12,12,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,1,6,6,1,2,2,1,1,1,1]],
[1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,10,10,10,10,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,20,20,20,20,20,20,
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,
24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,40,40,40,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,60,60,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,80,96,96,96,96,96,96,96,96,96,96,96,96,96,96,120,120,120,120,120,120,144,
144,144,144,144,144,144,192,192,240,240,240,240,240,240,288,360,480,480,720,
720,720,1440,1440,1440,2880],
[342,342,340,305,307,280,280,223,317,318,342,324,324,325,325,324,325,280,280,
280,280,280,280,227,225,227,223,228,223,227,226,227,223,232,223,223,227,229,
296,317,318,281,282,285,282,277,277,276,276,211,216,214,213,324,325,324,325,
305,307,297,299,280,280,280,280,280,280,280,280,280,280,280,280,280,280,280,
280,280,280,280,223,223,227,223,223,227,227,223,223,227,227,227,223,227,223,
223,227,227,223,220,221,227,168,164,332,296,296,296,253,253,324,325,317,318,
317,318,318,317,276,277,277,277,276,276,277,276,216,211,211,214,214,216,213,
213,325,325,325,324,324,324,280,280,280,280,280,280,280,280,280,280,280,280,
280,280,280,280,280,280,280,280,280,280,280,280,280,280,280,280,280,227,227,
223,223,223,227,223,227,332,332,332,319,319,281,285,296,296,296,251,253,253,
252,324,325,324,325,325,324,318,317,299,307,297,307,297,299,305,305,276,277,
276,276,276,277,277,277,276,276,277,277,324,325,280,280,280,280,280,280,280,
280,280,280,280,280,280,332,332,332,332,332,320,322,317,317,319,318,320,318,
319,319,321,296,296,296,324,324,324,324,325,325,325,325,325,325,325,324,324,
324,307,299,297,307,299,305,297,305,276,277,335,334,280,332,332,332,332,332,
332,332,317,318,319,317,318,319,320,320,296,325,325,324,325,325,324,325,324,
325,325,324,324,324,324,334,335,328,330,329,326,332,332,332,332,332,332,332,
324,325,334,334,334,335,335,335,332,342,334,335,342,339,340,342,342,342,342],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,9,1,10,1,10,10,9,9,1,9,1,10,2,2,1,1,1,1,1,1,1,7,1,1,1,1,1,1,1,1,1,1,1,1,
7,2,7,7,2,7,7,1,1,1,7,1,7,7,7,7,1,1,7,1,7,7,1,7,2,2,7,6,6,1,39,1,39,1,39,13,
14,9,1,1,10,10,9,1,10,1,1,9,1,10,9,9,9,9,10,10,9,10,10,1,1,1,1,1,1,2,6,7,7,2,
1,7,6,6,7,1,2,2,2,1,6,7,7,7,7,2,2,2,6,7,2,2,6,7,7,7,7,7,7,7,7,7,105,1,105,1,
105,9,10,1,39,39,39,39,39,39,13,14,111,112,112,111,41,40,13,111,14,13,112,111,
14,112,40,2,2,9,9,10,10,41,9,40,10,41,2,2,18,7,18,18,18,7,18,18,2,18,18,18,7,
105,1,105,105,105,105,105,9,9,105,10,105,10,105,105,105,39,39,39,13,13,111,
111,14,14,14,112,112,112,112,13,111,111,111,111,112,111,111,112,112,112,40,41,
278,279,18,105,105,105,105,105,105,105,40,41,105,179,179,105,178,178,107,112,
193,111,112,193,192,57,56,112,193,111,192,192,111,279,278,279,278,278,279,179,
179,105,178,180,180,178,192,193,279,279,279,278,278,278,237,333,311,312,333,
333,333,333,333,333,336],
[ ( 1,193,212,161)( 2,156,219,174)( 3,309, 34,253)( 4,162, 80, 89)
( 5, 62,134, 15)( 6,218)( 7, 46)( 8, 63,206, 85)( 9,184,127,300)
( 10, 90,257, 70)( 11,303,260,221)( 12,335,321, 82)( 13,319,233,329)
( 14,315,173,123)( 16,186,158,177)( 17,252,126,197)( 18,324,195,237)
( 19, 67)( 20, 39,112,246)( 21,132,256,216)( 22,100)( 23,166,143,242)
( 24, 54,111,199)( 25,165,210,241)( 26,172,330,284)( 27,333, 61,287)
( 28, 97,285,307)( 29, 83,191,283)( 30, 93,170,334)( 31,270, 77,298)
( 32,248,151, 99)( 33, 52)( 35,239,290, 51)( 36,311,314,251)
( 37,154,259,104)( 38, 96,209,194)( 40,198)( 41,211, 76,150)
( 42, 69,322,225)( 43,302,240,332)( 44,157)( 45,325)( 47,323,180,107)
( 48,139,142,192)( 49, 84,228,117)( 50,317,213, 58)( 53, 92,185,265)
( 55,316,136,200)( 56,106,235,159)( 57,276)( 59,313,229,118)
( 60,230,288, 86)( 64,138)( 65,308,169,167)( 66,289)( 68,304)
( 71,175, 91,110)( 72,222,271,145)( 73,234,178,296)( 74,312,295,204)
( 75,236,292,140)( 78,196)( 79,293,125,220)( 81,279,255,179)( 87,176)
( 88, 98,144,336)( 94,320,231,160)( 95,269,152,149)(101,273,146,331)
(102,189)(103,215,282,108)(105,137,243,129)(109,258,217,182)
(113,205,135,131)(114,202,163,266)(115,187,310,268)(116,207)
(119,226,278,168)(120,249)(121,272,275,306)(122,305)(124,291,208,247)
(128,148)(130,232,244,188)(133,301,203,245)(141,201,155,328)
(147,294,297,267)(153,223)(164,286,263,190)(171,326)(181,183,327,254)
(214,238,227,261)(224,262,274,250)(264,280)(277,318)(281,299),
( 1,215,212,307,207,179)( 2,197,146,280,173,252)( 3,189,174, 31,265, 77)
( 4, 87,141, 35,104,290)( 5,309,306,111,291,237)( 6,194,151,130, 32,329
)( 7,292, 69, 59,225, 99)( 8, 54,325,328,206,135)( 9, 96, 61,319,235,
244)( 10,112, 66,320,257, 95)( 11,155,178, 80,270,154)( 12, 29,105,326,
259,191)( 13,311,159)( 14,245,101,283,219,211)( 15,113,303,201,205,199)
( 16,117,302,240,286,231)( 17,260,122,298,126, 73)( 18, 41,171,294,195,284
)( 20, 39,152,177,160, 47)( 21,214,266)( 22,324,119, 24,278,253)
( 23, 91,143,312, 67, 93)( 25,190,210,332,299,158)( 26, 76,123,172,254,267
)( 27,140,127,128, 56,236)( 28,163,148,184,285,136)( 30,120,295,110,242,
175)( 33,315,124,330,208,183)( 34,275, 92,133,156,335)( 36,125, 46,200,
314,322)( 37, 53,243, 48,321,296)( 38,218,238,255,220, 81)
( 40,202,118,256,313,227)( 42, 79,316)( 43,182, 84,258, 94,318)
( 44,271,107,217,323,262)( 45,121,162, 82, 89,203)( 49,213,276,308,228, 86
)( 50,224,230,169,167, 70)( 51,150,100, 83,239,301)( 52,142,331,185,273,
234)( 55,209,300,293,114,261)( 57, 78)( 58,269,241,149,222,304)
( 60,180,288,186,138,246)( 62,187,131,268,221,102)( 63,176,192,144,297, 88
)( 64,289)( 65,196,274,164, 90,263)( 68,157)( 71,204,334)
( 72,165,250,317,109,145)( 74,166,170)( 75,229,248)( 85,310,147,137,139,
327)( 97,279,108)( 98,129,305,115,336,181)(103,251,282,106,198,233)
(116,232,132,193,216,287)(134,226,247,264,272,168)(161,333,188)(277,281)
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LIBTOM( "2^2.(L2(7)x2)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,2,3,10],[1,2,4,11],[1,
2,12],[1,6,13],[1,6,14],[1,2,5,6,15],[1,2,16],[1,6,17],[1,6,18],[1,2,8,19],[1,
5,6,20],[1,2,7,21],[1,5,6,22],[1,5,8,23],[1,5,7,24],[1,6,7,25],[1,3,5,8,26],[
1,4,6,7,27],[1,5,7,28],[1,3,6,8,29],[1,6,30],[1,4,5,7,31],[1,6,32],[1,5,33],[
1,5,8,34],[1,6,8,35],[1,6,7,36],[1,6,8,37],[1,2,9,38],[1,6,9,39],[1,5,9,40],[
1,3,9,41],[1,7,9,42],[1,8,9,43],[1,4,9,44],[1,45],[1,2,3,4,10,11,12,46],[1,2,
5,6,13,15,20,47],[1,2,5,6,14,15,22,48],[1,4,6,7,14,25,27,49],[1,3,6,8,13,29,
35,50],[1,3,6,8,14,29,37,51],[1,4,6,7,13,27,36,52],[1,2,5,6,15,17,18,53],[1,2,
5,6,7,15,21,25,28,54],[1,2,3,5,6,8,10,15,19,26,29,55],[1,2,4,5,6,7,11,15,21,
27,31,56],[1,2,5,6,8,15,19,23,37,57],[1,2,5,6,8,15,19,34,35,58],[1,2,5,6,7,15,
21,24,36,59],[1,2,5,6,15,32,60],[1,2,5,6,12,15,16,61],[1,5,6,14,18,20,62],[1,
2,5,6,15,30,63],[1,2,5,6,15,16,64],[1,2,5,6,15,33,65],[1,2,5,6,15,16,66],[1,5,
6,13,18,22,67],[1,2,4,8,11,16,19,68],[1,5,6,17,20,22,69],[1,2,3,7,10,16,21,
70],[1,6,13,14,17,71],[1,2,7,8,12,19,21,72],[1,3,5,6,8,22,23,26,29,37,73],[1,
4,6,7,17,27,30,74],[1,5,6,8,22,32,35,75],[1,6,7,14,30,36,76],[1,5,6,8,20,32,
37,77],[1,4,5,6,7,22,25,27,28,31,78],[1,6,7,17,25,36,79],[1,5,6,7,20,25,30,
80],[1,6,7,18,25,36,81],[1,2,7,8,16,19,21,82],[1,6,8,18,35,37,83],[1,6,7,13,
25,30,84],[1,5,6,7,22,30,36,85],[1,4,6,7,18,27,30,86],[1,6,8,13,32,37,87],[1,
4,5,6,7,20,24,27,31,36,88],[1,3,6,8,18,29,32,89],[1,3,6,8,17,29,32,90],[1,3,5,
6,8,20,26,29,34,35,91],[1,6,8,14,32,35,92],[1,6,8,17,35,37,93],[1,2,7,8,16,19,
21,94],[1,5,7,8,28,33,34,95],[1,5,7,8,23,24,33,96],[1,6,9,13,97],[1,6,9,14,
98],[1,2,4,9,11,38,44,99],[1,2,5,6,9,15,38,39,40,100],[1,2,8,9,19,38,43,101],[
1,2,7,9,21,38,42,102],[1,2,3,9,10,38,41,103],[1,2,9,12,38,104],[1,2,9,16,38,
105],[1,4,6,7,9,27,39,42,44,106],[1,4,5,7,9,31,40,42,44,107],[1,3,6,8,9,29,39,
41,43,108],[1,3,5,8,9,26,40,41,43,109],[1,2,45,110],[1,4,45,111],[1,3,45,
112],[1,2,3,5,6,8,10,14,15,19,22,23,26,29,37,48,51,55,57,73,113],[1,2,4,5,6,7,
11,13,15,20,21,24,27,31,36,47,52,56,59,88,114],[1,2,3,5,6,8,10,13,15,19,20,26,
29,34,35,47,50,55,58,91,115],[1,2,5,6,12,14,15,16,22,48,61,64,116],[1,2,4,5,6,
7,11,14,15,21,22,25,27,28,31,48,49,54,56,78,117],[1,2,5,6,12,13,15,16,20,47,
61,66,118],[1,2,5,6,8,15,16,19,30,34,35,58,63,64,119],[1,2,5,6,8,14,15,19,22,
32,34,35,48,58,60,75,92,120],[1,2,3,4,5,6,7,8,10,11,12,15,16,19,21,26,27,29,
31,46,55,56,61,68,70,72,121],[1,2,5,6,13,14,15,17,18,20,22,47,48,53,62,67,69,
71,122],[1,2,5,6,15,16,17,18,53,64,66,123],[1,2,5,6,7,8,15,19,21,25,28,33,34,
35,54,58,65,95,124],[1,2,5,6,7,8,12,15,16,19,21,23,25,28,37,54,57,61,72,82,
125],[1,2,5,6,7,15,16,21,25,28,32,54,60,66,126],[1,2,5,6,7,8,15,19,21,23,24,
33,36,37,57,59,65,96,127],[1,2,5,6,7,8,12,15,16,19,21,24,34,35,36,58,59,61,72,
94,128],[1,2,5,6,7,13,15,20,21,25,28,30,47,54,63,80,84,129],[1,2,3,5,6,7,8,10,
15,16,19,21,24,26,29,36,55,59,66,70,94,130],[1,2,3,5,6,8,10,15,19,26,29,30,33,
55,63,65,131],[1,2,5,6,13,15,16,20,33,47,64,65,132],[1,2,3,5,6,7,8,10,15,16,
19,21,25,26,28,29,54,55,64,70,82,133],[1,2,3,5,6,8,10,15,17,18,19,26,29,32,53,
55,60,89,90,134],[1,2,5,6,7,15,17,18,21,24,25,28,36,53,54,59,79,81,135],[1,2,
4,5,6,7,11,15,21,27,31,32,33,56,60,65,136],[1,2,4,5,6,7,8,11,15,16,19,21,23,
27,31,37,56,57,64,68,82,137],[1,2,4,5,6,7,8,11,15,16,19,21,27,31,34,35,56,58,
66,68,94,138],[1,2,4,5,6,7,11,15,17,18,21,27,30,31,53,56,63,74,86,139],[1,2,5,
6,14,15,16,22,33,48,65,66,140],[1,2,5,6,8,15,16,19,23,30,37,57,63,66,141],[1,
2,5,6,7,14,15,21,22,24,30,36,48,59,63,76,85,142],[1,2,5,6,7,15,16,21,24,32,36,
59,60,64,143],[1,2,5,6,8,13,15,19,20,23,32,37,47,57,60,77,87,144],[1,2,5,6,12,
15,16,30,32,60,61,63,145],[1,2,5,6,12,15,16,17,18,33,53,61,65,146],[1,2,5,6,8,
15,17,18,19,23,34,35,37,53,57,58,83,93,147],[1,4,5,6,7,13,18,22,25,27,28,30,
31,36,52,67,78,81,84,85,86,148],[1,4,5,6,7,17,20,22,24,25,27,28,30,31,36,69,
74,78,79,80,85,88,149],[1,4,6,7,13,14,17,25,27,30,36,49,52,71,74,76,79,84,
150],[1,3,5,6,8,17,20,22,23,26,29,32,34,35,37,69,73,75,77,90,91,93,151],[1,3,
5,6,8,13,18,22,23,26,29,32,35,37,50,67,73,75,83,87,89,152],[1,4,5,6,7,14,18,
20,24,25,27,30,31,36,49,62,76,80,81,86,88,153],[1,3,6,8,13,14,17,29,32,35,37,
50,51,71,87,90,92,93,154],[1,3,5,6,8,14,18,20,26,29,32,34,35,37,51,62,77,83,
89,91,92,155],[1,9,45,156],[1,6,9,13,14,17,39,71,98,157],[1,2,5,6,9,13,15,20,
38,47,97,158],[1,2,5,6,9,14,15,22,38,48,98,159],[1,6,9,13,14,17,39,71,97,
160],[1,5,6,9,14,18,20,40,62,98,161],[1,5,6,9,13,18,22,40,67,97,162],[1,4,6,7,
9,13,27,36,44,52,97,163],[1,3,6,8,9,13,29,35,41,50,97,164],[1,6,7,9,14,30,36,
42,76,98,165],[1,6,8,9,14,32,35,43,92,98,166],[1,4,6,7,9,14,25,27,44,49,98,
167],[1,6,7,9,13,25,30,42,84,97,168],[1,6,8,9,13,32,37,43,87,97,169],[1,3,6,8,
9,14,29,37,41,51,98,170],[1,2,3,5,6,8,9,10,15,19,26,29,38,39,40,41,43,55,100,
101,103,108,109,171],[1,2,4,8,9,11,16,19,38,43,44,68,99,101,105,172],[1,2,4,5,
6,7,9,11,15,21,27,31,38,39,40,42,44,56,99,100,102,106,107,173],[1,2,5,6,9,12,
15,16,38,39,40,61,100,104,105,174],[1,2,3,7,9,10,16,21,38,41,42,70,102,103,
105,175],[1,2,7,8,9,12,19,21,38,42,43,72,101,102,104,176],[1,2,3,4,9,10,11,12,
38,41,44,46,99,103,104,177],[1,2,3,10,45,110,112,178],[1,2,4,11,45,110,111,
179],[1,2,12,45,110,180],[1,2,3,4,5,6,7,8,10,11,12,14,15,16,19,21,22,23,25,26,
27,28,29,31,37,46,48,49,51,54,55,56,57,61,64,68,70,72,73,78,82,113,116,117,
121,125,133,137,181],[1,2,3,4,5,6,7,8,10,11,12,13,15,16,19,20,21,24,26,27,29,
31,34,35,36,46,47,50,52,55,56,58,59,61,66,68,70,72,88,91,94,114,115,118,121,
128,130,138,182],[1,2,3,5,6,7,8,10,14,15,16,19,21,22,23,24,26,29,30,33,36,37,
48,51,55,57,59,63,65,66,70,73,76,85,94,96,113,127,130,131,140,141,142,183],[1,
2,4,5,6,7,8,11,14,15,16,19,21,22,25,27,28,31,32,33,34,35,48,49,54,56,58,60,65,
66,68,75,78,92,94,95,117,120,124,126,136,138,140,184],[1,2,3,5,6,7,8,10,15,16,
17,18,19,21,24,25,26,28,29,32,36,53,54,55,59,60,64,66,70,79,81,82,89,90,94,
123,126,130,133,134,135,143,185],[1,2,3,5,6,7,8,10,13,15,16,19,20,21,25,26,28,
29,30,33,34,35,47,50,54,55,58,63,64,65,70,80,82,84,91,95,115,119,124,129,131,
132,133,186],[1,2,4,5,6,7,11,13,14,15,17,18,20,21,22,24,25,27,28,30,31,36,47,
48,49,52,53,54,56,59,62,63,67,69,71,74,76,78,79,80,81,84,85,86,88,114,117,122,
129,135,139,142,148,149,150,153,187],[1,2,3,5,6,8,10,13,14,15,17,18,19,20,22,
23,26,29,32,34,35,37,47,48,50,51,53,55,57,58,60,62,67,69,71,73,75,77,83,87,89,
90,91,92,93,113,115,120,122,134,144,147,151,152,154,155,188],[1,2,5,6,12,13,
14,15,16,17,18,20,22,33,47,48,53,61,62,64,65,66,67,69,71,116,118,122,123,132,
140,146,189],[1,2,5,6,7,8,12,15,16,17,18,19,21,23,24,25,28,33,34,35,36,37,53,
54,57,58,59,61,65,72,79,81,82,83,93,94,95,96,124,125,127,128,135,146,147,
190],[1,2,5,6,7,8,12,13,15,16,19,20,21,23,25,28,30,32,37,47,54,57,60,61,63,66,
72,77,80,82,84,87,118,125,126,129,141,144,145,191],[1,2,3,4,5,6,7,8,10,11,12,
15,16,17,18,19,21,26,27,29,30,31,32,33,46,53,55,56,60,61,63,65,68,70,72,74,86,
89,90,121,131,134,136,139,145,146,192],[1,2,4,5,6,7,8,11,13,15,16,19,20,21,23,
24,27,31,32,33,36,37,47,52,56,57,59,60,64,65,68,77,82,87,88,96,114,127,132,
136,137,143,144,193],[1,2,5,6,7,8,12,14,15,16,19,21,22,24,30,32,34,35,36,48,
58,59,60,61,63,64,72,75,76,85,92,94,116,119,120,128,142,143,145,194],[1,2,4,5,
6,7,8,11,15,16,17,18,19,21,23,27,30,31,34,35,37,53,56,57,58,63,64,66,68,74,82,
83,86,93,94,119,123,137,138,139,141,147,195],[1,2,9,38,45,110,156,196],[1,3,9,
41,45,112,156,197],[1,4,9,44,45,111,156,198],[1,2,3,5,6,8,9,10,14,15,19,22,23,
26,29,37,38,41,48,51,55,57,73,98,103,113,159,170,199],[1,2,5,6,9,12,13,15,16,
20,38,47,61,66,97,104,118,158,200],[1,2,5,6,8,9,14,15,19,22,32,34,35,38,43,48,
58,60,75,92,98,101,120,159,166,201],[1,2,5,6,9,13,14,15,17,18,20,22,38,39,40,
47,48,53,62,67,69,71,98,100,122,157,159,161,202],[1,2,4,5,6,7,9,11,13,15,20,
21,24,27,31,36,38,44,47,52,56,59,88,97,99,114,158,163,203],[1,2,5,6,7,9,13,15,
20,21,25,28,30,38,42,47,54,63,80,84,97,102,129,158,168,204],[1,2,3,5,6,8,9,10,
13,15,19,20,26,29,34,35,38,41,47,50,55,58,91,97,103,115,158,164,205],[1,2,4,5,
6,7,9,11,14,15,21,22,25,27,28,31,38,44,48,49,54,56,78,98,99,117,159,167,206],[
1,2,5,6,9,12,14,15,16,22,38,48,61,64,98,104,116,159,207],[1,2,5,6,7,9,14,15,
21,22,24,30,36,38,42,48,59,63,76,85,98,102,142,159,165,208],[1,2,5,6,9,14,15,
16,22,33,38,48,65,66,98,105,140,159,209],[1,2,5,6,9,13,15,16,20,33,38,47,64,
65,97,105,132,158,210],[1,2,5,6,8,9,13,15,19,20,23,32,37,38,43,47,57,60,77,87,
97,101,144,158,169,211],[1,2,5,6,9,13,14,15,17,18,20,22,38,39,40,47,48,53,62,
67,69,71,97,100,122,158,160,162,212],[1,4,6,7,9,13,14,17,25,27,30,36,39,42,44,
49,52,71,74,76,79,84,98,106,150,157,165,167,213],[1,3,6,8,9,13,14,17,29,32,35,
37,39,41,43,50,51,71,87,90,92,93,97,108,154,160,164,169,214],[1,4,5,6,7,9,13,
18,22,25,27,28,30,31,36,40,42,44,52,67,78,81,84,85,86,97,107,148,162,163,168,
215],[1,4,6,7,9,13,14,17,25,27,30,36,39,42,44,49,52,71,74,76,79,84,97,106,150,
160,163,168,216],[1,3,5,6,8,9,14,18,20,26,29,32,34,35,37,40,41,43,51,62,77,83,
89,91,92,98,109,155,161,166,170,217],[1,4,5,6,7,9,14,18,20,24,25,27,30,31,36,
40,42,44,49,62,76,80,81,86,88,98,107,153,161,165,167,218],[1,3,5,6,8,9,13,18,
22,23,26,29,32,35,37,40,41,43,50,67,73,75,83,87,89,97,109,152,162,164,169,
219],[1,3,6,8,9,13,14,17,29,32,35,37,39,41,43,50,51,71,87,90,92,93,98,108,154,
157,166,170,220],[1,2,3,4,5,6,7,8,9,10,11,12,15,16,19,21,26,27,29,31,38,39,40,
41,42,43,44,46,55,56,61,68,70,72,99,100,101,102,103,104,105,106,107,108,109,
121,171,172,173,174,175,176,177,221],[1,2,3,4,10,11,12,45,46,110,111,112,178,
179,180,222],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,35,36,37,46,47,48,49,50,51,52,53,54,55,56,57,58,59,
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,
86,87,88,89,90,91,92,93,94,95,96,113,114,115,116,117,118,119,120,121,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,144,145,146,147,148,149,150,151,152,153,154,155,181,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,223],[1,2,9,12,38,45,104,110,156,180,196,
224],[1,2,3,9,10,38,41,45,103,110,112,156,178,196,197,225],[1,2,4,9,11,38,44,
45,99,110,111,156,179,196,198,226],[1,2,5,6,7,8,9,12,14,15,16,19,21,22,24,30,
32,34,35,36,38,42,43,48,58,59,60,61,63,64,72,75,76,85,92,94,98,101,102,104,
116,119,120,128,142,143,145,159,165,166,176,194,201,207,208,227],[1,2,5,6,9,
12,13,14,15,16,17,18,20,22,33,38,39,40,47,48,53,61,62,64,65,66,67,69,71,98,
100,104,105,116,118,122,123,132,140,146,157,159,161,174,189,202,207,209,228],[
1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,19,21,22,23,25,26,27,28,29,31,37,38,41,44,
46,48,49,51,54,55,56,57,61,64,68,70,72,73,78,82,98,99,103,104,113,116,117,121,
125,133,137,159,167,170,177,181,199,206,207,229],[1,2,4,5,6,7,9,11,13,14,15,
17,18,20,21,22,24,25,27,28,30,31,36,38,39,40,42,44,47,48,49,52,53,54,56,59,62,
63,67,69,71,74,76,78,79,80,81,84,85,86,88,98,99,100,102,106,107,114,117,122,
129,135,139,142,148,149,150,153,157,159,161,165,167,173,187,202,206,208,213,
218,230],[1,2,4,5,6,7,8,9,11,14,15,16,19,21,22,25,27,28,31,32,33,34,35,38,43,
44,48,49,54,56,58,60,65,66,68,75,78,92,94,95,98,99,101,105,117,120,124,126,
136,138,140,159,166,167,172,184,201,206,209,231],[1,2,3,4,5,6,7,8,9,10,11,12,
13,15,16,19,20,21,24,26,27,29,31,34,35,36,38,41,44,46,47,50,52,55,56,58,59,61,
66,68,70,72,88,91,94,97,99,103,104,114,115,118,121,128,130,138,158,163,164,
177,182,200,203,205,232],[1,2,3,5,6,7,8,9,10,14,15,16,19,21,22,23,24,26,29,30,
33,36,37,38,41,42,48,51,55,57,59,63,65,66,70,73,76,85,94,96,98,102,103,105,
113,127,130,131,140,141,142,159,165,170,175,183,199,208,209,233],[1,2,3,5,6,8,
9,10,13,14,15,17,18,19,20,22,23,26,29,32,34,35,37,38,39,40,41,43,47,48,50,51,
53,55,57,58,60,62,67,69,71,73,75,77,83,87,89,90,91,92,93,98,100,101,103,108,
109,113,115,120,122,134,144,147,151,152,154,155,157,159,161,166,170,171,188,
199,201,202,217,220,234],[1,2,3,5,6,7,8,9,10,13,15,16,19,20,21,25,26,28,29,30,
33,34,35,38,41,42,47,50,54,55,58,63,64,65,70,80,82,84,91,95,97,102,103,105,
115,119,124,129,131,132,133,158,164,168,175,186,204,205,210,235],[1,2,3,5,6,8,
9,10,13,14,15,17,18,19,20,22,23,26,29,32,34,35,37,38,39,40,41,43,47,48,50,51,
53,55,57,58,60,62,67,69,71,73,75,77,83,87,89,90,91,92,93,97,100,101,103,108,
109,113,115,120,122,134,144,147,151,152,154,155,158,160,162,164,169,171,188,
205,211,212,214,219,236],[1,2,4,5,6,7,9,11,13,14,15,17,18,20,21,22,24,25,27,
28,30,31,36,38,39,40,42,44,47,48,49,52,53,54,56,59,62,63,67,69,71,74,76,78,79,
80,81,84,85,86,88,97,99,100,102,106,107,114,117,122,129,135,139,142,148,149,
150,153,158,160,162,163,168,173,187,203,204,212,215,216,237],[1,2,4,5,6,7,8,9,
11,13,15,16,19,20,21,23,24,27,31,32,33,36,37,38,43,44,47,52,56,57,59,60,64,65,
68,77,82,87,88,96,97,99,101,105,114,127,132,136,137,143,144,158,163,169,172,
193,203,210,211,238],[1,2,5,6,7,8,9,12,13,15,16,19,20,21,23,25,28,30,32,37,38,
42,43,47,54,57,60,61,63,66,72,77,80,82,84,87,97,101,102,104,118,125,126,129,
141,144,145,158,168,169,176,191,200,204,211,239],[1,2,5,6,9,12,13,14,15,16,17,
18,20,22,33,38,39,40,47,48,53,61,62,64,65,66,67,69,71,97,100,104,105,116,118,
122,123,132,140,146,158,160,162,174,189,200,210,212,240],[1,6,9,13,14,17,39,
45,71,97,98,156,157,160,241],[1,2,3,4,9,10,11,12,38,41,44,45,46,99,103,104,
110,111,112,156,177,178,179,180,196,197,198,222,224,225,226,242],[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,
34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,
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,
87,88,89,90,91,92,93,94,95,96,97,99,100,101,102,103,104,105,106,107,108,109,
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,
151,152,153,154,155,158,160,162,163,164,168,169,171,172,173,174,175,176,177,
181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,200,203,204,205,
210,211,212,214,215,216,219,221,223,232,235,236,237,238,239,240,243],[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,
32,33,34,35,36,37,38,39,40,41,42,43,44,46,47,48,49,50,51,52,53,54,55,56,57,58,
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,
85,86,87,88,89,90,91,92,93,94,95,96,98,99,100,101,102,103,104,105,106,107,108,
109,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,
150,151,152,153,154,155,157,159,161,165,166,167,170,171,172,173,174,175,176,
177,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,199,201,202,
206,207,208,209,213,217,218,220,221,223,227,228,229,230,231,233,234,244],[1,2,
5,6,9,13,14,15,17,18,20,22,38,39,40,45,47,48,53,62,67,69,71,97,98,100,110,122,
156,157,158,159,160,161,162,196,202,212,241,245],[1,4,6,7,9,13,14,17,25,27,30,
36,39,42,44,45,49,52,71,74,76,79,84,97,98,106,111,150,156,157,160,163,165,167,
168,198,213,216,241,246],[1,3,6,8,9,13,14,17,29,32,35,37,39,41,43,45,50,51,71,
87,90,92,93,97,98,108,112,154,156,157,160,164,166,169,170,197,214,220,241,
247],[1,2,4,5,6,7,9,11,13,14,15,17,18,20,21,22,24,25,27,28,30,31,36,38,39,40,
42,44,45,47,48,49,52,53,54,56,59,62,63,67,69,71,74,76,78,79,80,81,84,85,86,88,
97,98,99,100,102,106,107,110,111,114,117,122,129,135,139,142,148,149,150,153,
156,157,158,159,160,161,162,163,165,167,168,173,179,187,196,198,202,203,204,
206,208,212,213,215,216,218,226,230,237,241,245,246,248],[1,2,3,5,6,8,9,10,13,
14,15,17,18,19,20,22,23,26,29,32,34,35,37,38,39,40,41,43,45,47,48,50,51,53,55,
57,58,60,62,67,69,71,73,75,77,83,87,89,90,91,92,93,97,98,100,101,103,108,109,
110,112,113,115,120,122,134,144,147,151,152,154,155,156,157,158,159,160,161,
162,164,166,169,170,171,178,188,196,197,199,201,202,205,211,212,214,217,219,
220,225,234,236,241,245,247,249],[1,2,5,6,9,12,13,14,15,16,17,18,20,22,33,38,
39,40,45,47,48,53,61,62,64,65,66,67,69,71,97,98,100,104,105,110,116,118,122,
123,132,140,146,156,157,158,159,160,161,162,174,180,189,196,200,202,207,209,
210,212,224,228,240,241,245,250],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,2,1],[1,1,2,1],[1,1,
1],[1,3,1],[1,3,1],[1,1,1,1,1],[1,1,1],[1,1,1],[1,1,1],[1,1,2,1],[1,2,1,1],[1,
1,2,1],[1,2,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,1],[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],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,
1],[1,1,2,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,
1,1],[1,1],[1,1,2,2,1,1,1,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,
3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,1,1,1,1,1,1],[
1,1,1,1,4,1,2,2,2,1],[1,1,2,1,1,2,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,2,2,1],[1,1,
1,1,4,1,2,2,2,1],[1,1,1,1,4,1,2,2,2,1],[1,1,1,1,4,1,2,2,2,1],[1,1,1,1,1,2,1],[
1,1,1,1,1,1,1,1],[1,2,3,1,1,1,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,
1],[1,1,1,1,1,2,1],[1,2,3,1,1,1,1],[1,1,2,2,1,1,1,1],[1,4,1,1,1,1,1],[1,1,2,2,
1,1,1,1],[1,5,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,3,1,2,2,1,1,1],[1,1,1,1,1,1,
1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,1,3,1,1,1,2,2,
1],[1,1,4,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,4,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,
1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[
1,1,2,1,3,1,2,1,2,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,2,1,3,1,2,1,2,
1,1],[1,3,2,1,1,1,1],[1,1,4,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,2,1,1,1,2,1],[1,1,3,3,1,3,1,1,1,1],[
1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,1,1,1],[1,1,1,3,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,
1,3,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,2,3,3,6,1,1,3,3,3,6,6,6,6,1,2,
3,3,6,1],[1,1,2,3,3,6,1,1,3,3,3,6,6,6,6,1,2,3,3,6,1],[1,1,2,3,3,6,1,1,3,3,3,6,
6,6,6,1,2,3,3,6,1],[1,1,3,3,1,1,3,3,3,1,3,3,1],[1,1,2,3,3,6,1,1,3,3,3,6,6,6,6,
1,2,3,3,6,1],[1,1,3,3,1,1,3,3,3,1,3,3,1],[1,1,1,1,4,1,2,2,2,2,2,1,1,1,1],[1,1,
3,3,4,1,3,2,3,2,2,2,1,1,1,2,2,1],[1,1,2,2,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,5,5,1,1,5,1,1,3,3,1,1,1,1,1,1,1,1],[1,1,1,1,1,4,1,1,1,1,1,1],[
1,1,1,1,4,4,1,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,1,1,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,
2,1],[1,1,1,1,4,1,2,2,2,2,2,1,1,1,1],[1,1,1,1,4,4,1,2,2,2,2,2,2,2,1,1,1,4,1],[
1,1,1,1,4,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,3,3,4,1,3,3,2,2,2,2,1,1,1,2,2,
1],[1,1,2,1,1,4,2,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,
1,1,1],[1,1,3,3,1,3,2,3,2,1,1,1,1],[1,1,2,1,1,4,2,1,1,2,1,2,2,2,2,2,1,1,1,2,2,
1],[1,1,2,1,1,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,1,1,8,1,1,1,4,2,2,2,2,1,1,1,
2,2,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,1,1,2,4,1,1,2,2,1,2,2,2,2,1,
1,1,2,2,1],[1,1,2,1,1,2,4,1,1,2,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,1,
1,2,2,2,1,1,1,2,2,1],[1,1,3,3,1,3,2,3,2,1,1,1,1],[1,1,1,1,4,1,2,2,2,2,2,1,1,1,
1],[1,1,3,3,4,1,3,2,3,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,1,2,2,2,2,2,1,1,1,1],[1,1,
3,3,4,1,3,2,3,2,2,2,1,1,1,2,2,1],[1,1,1,1,1,1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1,
1,2,1,1,1,1],[1,1,1,1,8,1,1,1,4,2,2,2,2,1,1,1,2,2,1],[1,1,2,3,5,1,1,1,1,3,2,1,
2,3,1,1,1,1,1,1,1,1],[1,1,4,1,5,1,1,1,2,1,1,2,1,4,1,1,1,1,1,1,1,1,1],[1,1,5,5,
1,1,1,3,5,1,3,1,1,1,1,1,1,1,1],[1,1,4,1,5,1,1,1,2,4,1,1,2,1,1,1,1,1,1,1,1,1,
1],[1,1,2,3,5,1,1,1,2,2,3,1,3,1,1,1,1,1,1,1,1,1],[1,1,2,3,5,1,1,1,2,3,3,1,2,1,
1,1,1,1,1,1,1,1],[1,1,5,5,1,1,1,5,1,3,3,1,1,1,1,1,1,1,1],[1,1,2,3,5,1,1,1,2,3,
1,2,1,3,1,1,1,1,1,1,1,1],[1,7,1,1],[1,9,4,3,1,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,
1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[
1,6,3,4,1,3,3,4,3,1,1],[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],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,2,3,3,
6,1,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,
2,3,3,6,1,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,3,3,1,1,3,3,1,1,1,3,1,1,1,
1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,2,
2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,2,1,1,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,1,1,1],[
1,1,2,2,3,3,6,6,1,1,1,1,3,3,3,3,3,6,6,6,6,6,6,6,6,1,1,2,2,3,3,3,3,3,3,3,3,3,6,
6,6,1,1,1,3,3,3,3,1],[1,1,2,2,3,3,6,6,1,1,1,1,3,3,3,3,3,6,6,6,6,6,6,6,6,1,1,2,
2,3,3,3,3,3,3,3,3,3,6,6,6,1,1,1,3,3,3,3,1],[1,1,2,3,3,4,6,1,1,3,2,3,2,3,6,2,6,
6,2,2,2,6,1,2,3,3,1,1,1,1,2,6,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,3,3,6,4,1,1,3,2,
2,3,3,6,6,6,6,2,2,2,2,1,2,3,3,1,1,1,1,2,2,6,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,
8,2,1,1,4,1,1,1,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,2,3,3,4,6,1,1,3,2,3,3,2,2,6,2,6,2,2,6,6,1,2,1,3,3,1,1,1,2,2,2,2,6,4,1,1,1,
1,1,1,1,1],[1,1,2,5,5,10,1,1,1,5,1,1,3,5,3,6,6,10,6,2,10,6,1,1,2,2,1,3,5,3,1,
1,1,1,1,2,2,6,2,2,2,2,2,2,6,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,5,5,10,1,1,1,5,1,
1,5,3,3,6,10,10,2,6,6,6,1,1,2,2,1,5,3,3,1,1,1,1,1,6,2,2,2,2,2,2,6,2,2,1,1,1,1,
1,1,1,2,2,2,2,1],[1,1,5,5,1,1,1,5,5,1,1,3,3,2,1,1,1,5,1,3,1,3,1,1,1,1,1,1,1,1,
1,1,1],[1,1,1,1,8,8,1,1,1,1,1,4,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,4,2,2,2,2,2,
2,4,4,1,1,1,1,1,1,1,1],[1,1,3,3,4,4,1,1,3,3,2,3,2,2,2,2,2,2,2,1,1,1,1,3,1,3,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,2,2,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,3,6,4,1,1,3,2,2,3,3,2,6,
6,6,2,2,6,2,1,2,3,1,3,1,1,1,2,2,2,2,6,4,1,1,1,1,1,1,1,1],[1,1,3,3,4,4,1,1,3,3,
2,2,3,2,2,2,2,2,2,1,1,1,1,3,1,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,8,1,
1,4,1,1,4,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,7,
7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,1,2,3,3,6,4,1,1,3,3,3,6,6,6,
6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,3,3,4,1,1,3,3,3,4,1,3,3,1,4,1,1,1],[1,1,3,3,
12,4,1,3,6,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,9,9,4,3,1,9,3,3,9,3,4,4,4,
3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,3,3,6,4,1,1,3,3,3,6,6,6,6,4,8,1,2,3,3,6,1,
4,1,1,2,1],[1,1,3,3,12,4,1,3,3,6,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,2,3,3,
6,4,1,1,3,3,3,6,6,6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,2,3,3,6,4,1,1,3,3,3,6,6,
6,6,4,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,3,3,4,1,1,3,3,3,4,1,3,3,1,4,1,1,1],[1,1,3,
3,12,4,1,3,6,3,6,6,6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,3,3,4,1,3,6,3,6,4,1,3,3,
1,4,3,1,1],[1,1,3,3,4,1,3,6,3,6,4,1,3,3,1,4,3,1,1],[1,1,3,3,12,4,1,3,6,3,6,6,
6,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,9,9,4,1,3,9,3,3,3,9,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,1,9,9,4,3,1,3,3,9,3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,
9,4,1,3,3,9,3,3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,3,9,4,1,3,3,3,3,6,
3,6,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,3,9,9,3,3,4,4,4,3,1,3,
3,3,3,3,1,4,3,1,1,1,1],[1,1,6,3,9,4,1,3,3,6,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,1,6,3,9,4,1,3,3,6,3,3,3,6,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,6,3,9,4,1,3,3,6,6,3,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,
1,3,9,3,9,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,2,3,3,6,6,1,1,1,1,3,3,3,
3,6,6,6,6,1,1,1,2,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,
1],[1,1,2,2,1,1,1,1,1,1,2,2,1,1,1,1],[1,1,2,2,5,5,10,10,1,1,1,1,1,5,5,1,1,5,3,
5,3,6,6,6,10,10,6,10,2,10,2,2,6,6,6,6,1,1,1,2,2,2,2,1,3,5,5,3,3,3,1,5,1,1,3,1,
3,1,5,1,5,1,5,6,2,2,2,2,6,2,2,2,6,2,2,2,2,2,6,2,2,6,2,2,6,4,4,1,1,1,1,1,1,1,1,
5,1,1,1,3,1,1,3,1,3,1,1,3,1,1,1,3,3,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,7,1,7,1,7,1,1,1,1,1],[1,1,2,7,1,7,14,1,7,1,2,1,
1,1,2,1],[1,1,2,7,1,7,14,1,7,1,2,1,1,1,2,1],[1,1,3,3,12,12,4,1,1,3,3,6,6,3,6,
6,6,6,6,6,4,8,8,1,3,3,3,3,3,3,6,6,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,
1,1],[1,1,9,9,4,1,3,1,9,9,3,3,9,3,6,4,4,4,3,1,3,9,3,3,3,9,3,3,3,1,4,4,4,1,3,3,
3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,2,2,3,3,6,6,4,1,1,1,1,3,3,3,3,3,6,6,6,6,6,6,6,
6,4,8,8,1,1,2,2,3,3,3,3,3,3,3,3,3,6,6,6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,
1],[1,1,2,9,9,18,4,1,3,1,9,3,3,9,9,3,18,6,18,6,6,18,18,4,4,4,8,8,3,1,2,6,3,3,
9,9,3,3,3,3,3,6,6,6,6,6,6,6,6,6,18,1,4,4,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,1,1,2,
2,4,3,1,1,1,2,2,1],[1,1,2,3,3,6,12,4,1,1,3,6,6,3,3,6,6,6,6,6,6,6,6,4,8,8,1,2,
3,3,3,3,3,3,6,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,2,2,3,
3,6,6,4,1,1,1,1,3,3,3,3,3,6,6,6,6,6,6,6,6,4,8,8,1,1,2,2,3,3,3,3,3,3,3,3,3,6,6,
6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,2,3,3,12,6,4,1,1,3,6,3,6,3,6,
6,6,6,6,6,6,6,4,8,8,1,2,3,3,3,3,3,3,6,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,
4,3,1,1,1,1],[1,1,2,9,9,18,4,1,3,1,9,3,3,9,9,3,6,18,18,6,18,18,6,4,4,4,8,8,3,
1,6,2,3,9,3,9,3,3,3,3,3,6,6,6,6,6,6,6,18,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,
6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,2,3,3,12,6,4,1,1,3,6,3,3,6,6,6,6,6,6,6,6,6,
4,8,8,1,2,3,3,3,3,3,3,6,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[
1,1,2,9,9,18,4,1,1,3,9,3,3,9,3,9,18,18,18,6,6,6,18,4,4,4,8,8,1,3,2,6,3,9,9,3,
3,3,3,3,3,18,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,
3,1,1,1,2,2,1],[1,1,2,9,9,18,4,1,1,3,9,3,3,3,9,9,6,18,18,18,6,18,6,4,4,4,8,8,
1,3,6,2,3,9,9,3,3,3,3,3,3,6,6,18,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,
6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,2,3,3,6,12,4,1,1,3,6,6,3,3,6,6,6,6,6,6,6,
6,4,8,8,1,2,3,3,3,3,3,3,6,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,
1],[1,1,3,3,12,12,4,1,1,3,3,6,3,6,6,6,6,6,6,6,4,8,8,1,3,3,3,3,3,3,6,6,6,6,6,6,
1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,9,9,4,1,1,3,9,9,3,3,3,9,6,4,4,4,
1,3,3,9,3,9,3,3,3,3,3,1,4,4,4,3,1,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,21,28,7,7,
21,28,8,21,7,7,8,7,7,1],[1,1,2,2,7,1,1,1,7,14,14,1,1,7,7,7,1,2,2,1,7,1,1,1,1,
2,2,1,1,1,1,1],[1,1,2,2,9,9,18,18,4,1,1,1,1,3,9,9,3,3,9,3,9,9,18,6,18,18,18,
18,18,6,18,6,6,6,6,6,18,4,4,4,8,8,8,8,1,1,3,6,2,6,2,3,9,9,9,9,3,3,3,9,3,3,9,3,
3,3,9,3,9,3,9,18,6,6,6,6,18,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,4,4,4,4,
4,4,4,8,8,8,8,3,1,1,3,3,1,3,3,9,3,3,3,9,3,3,3,3,3,3,3,9,3,3,3,9,3,3,3,3,3,3,3,
3,3,3,6,6,6,6,6,6,6,6,1,1,1,2,2,2,2,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,
3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,2,2,9,9,18,18,4,1,1,1,3,1,9,
9,3,3,9,9,9,3,6,18,6,18,18,6,18,6,18,6,6,18,18,18,6,4,4,4,8,8,8,8,1,3,1,2,6,2,
6,3,3,9,9,3,9,9,3,9,3,3,3,3,9,3,9,3,9,3,9,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,
6,18,6,6,18,12,12,1,4,4,4,4,4,4,4,8,8,8,8,1,3,3,1,1,3,3,3,9,3,3,3,3,3,3,9,3,9,
3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,1,1,1,2,2,2,2,4,4,4,4,4,4,4,
1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,
21,21,28,7,7,21,21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,
7,7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,21,21,21,21,28,28,28,8,7,7,21,21,21,21,
21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,21,21,21,21,28,
28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,2,21,21,
42,28,1,7,7,21,21,21,21,21,21,42,42,42,42,42,42,42,28,28,28,56,56,8,7,7,14,14,
21,21,21,21,21,21,21,21,21,42,42,42,42,42,42,42,42,42,42,7,7,28,28,28,56,56,8,
16,7,7,21,21,21,21,21,42,42,42,42,8,7,7,7,7,7,7,14,14,14,14,28,8,21,8,16,7,7,
7,7,7,7,14,14,14,14,8,7,7,1,1,2,1],[1,1,2,21,21,42,28,1,7,7,21,21,21,21,21,21,
42,42,42,42,42,42,42,28,28,28,56,56,8,7,7,14,14,21,21,21,21,21,21,21,21,21,42,
42,42,42,42,42,42,42,42,42,7,7,28,28,28,56,56,8,16,7,7,21,21,21,21,21,42,42,
42,42,8,7,7,7,7,7,7,14,14,14,14,28,8,21,8,16,7,7,7,7,7,7,14,14,14,14,8,7,7,1,
1,2,1],[1,1,21,21,28,1,7,7,21,21,21,21,21,21,42,28,28,28,8,7,7,21,21,21,21,21,
21,21,21,21,7,7,28,28,28,8,7,7,21,21,21,21,21,8,7,7,7,7,7,7,28,8,21,8,7,7,7,7,
7,7,8,7,7,1,1,1],[1,1,2,2,21,21,42,42,28,1,1,1,7,7,21,21,21,21,21,21,21,21,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,28,28,28,56,56,56,56,8,1,7,7,14,14,
14,14,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,42,42,42,42,
42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,84,84,7,7,28,28,28,28,
28,28,28,56,56,56,56,8,16,16,7,7,7,7,7,7,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,42,42,42,42,42,42,42,42,8,
7,7,7,7,7,7,14,14,14,14,14,14,14,14,28,28,28,28,28,28,28,8,8,8,7,7,21,21,21,
21,21,21,21,21,21,21,21,21,21,8,16,16,7,7,7,7,7,7,7,7,7,7,7,7,7,7,14,14,14,14,
14,14,14,14,28,8,21,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,1,8,7,7,1,2,2,1,1,1,1]],
[1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,
6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,
14,14,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,21,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,28,28,28,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,42,42,42,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,56,64,84,84,84,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,168,168,192,192,336,336,336,672,672,672,1344],
[251,251,249,248,223,223,187,188,221,251,251,251,243,244,223,223,223,223,223,
223,223,223,183,193,187,188,187,184,188,187,187,188,190,186,188,187,188,221,
221,221,171,173,171,173,242,251,243,244,230,236,234,237,223,223,223,223,223,
223,223,223,223,223,223,223,223,223,223,223,223,223,223,223,188,187,188,187,
188,187,187,187,187,181,188,187,187,187,188,187,188,188,188,188,188,182,124,
127,243,244,221,221,221,221,221,221,221,173,173,171,171,242,226,225,244,243,
243,244,244,243,223,223,223,223,223,223,223,223,223,223,223,223,223,223,223,
223,223,223,223,223,223,223,223,223,223,223,223,223,223,187,187,187,188,188,
187,188,188,242,244,243,244,243,244,243,237,236,230,234,230,237,236,234,221,
221,221,221,221,221,221,242,242,242,244,243,223,223,223,223,223,223,223,223,
223,223,223,223,223,242,225,226,244,243,244,244,243,243,243,244,244,244,244,
243,243,243,230,236,237,237,234,230,236,234,221,242,223,242,242,242,244,244,
244,244,244,243,244,244,243,243,243,243,243,243,251,242,243,244,251,248,249,
251,251,251,251],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
9,9,1,9,9,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,1,1,1,1,6,2,6,2,6,2,1,1,6,6,6,
1,6,6,6,2,6,6,6,1,6,1,1,1,1,6,6,2,5,5,13,14,1,9,9,9,1,1,9,9,9,9,9,1,1,1,1,1,1,
1,1,1,5,6,2,6,6,5,2,5,5,2,6,2,2,6,2,1,6,2,2,2,1,6,5,6,5,6,2,1,6,6,6,6,6,6,6,6,
6,45,98,13,14,97,98,97,13,13,98,98,14,97,97,14,9,38,9,9,38,38,2,1,1,1,2,2,15,
15,15,15,6,6,6,15,15,2,15,15,15,45,45,45,14,13,98,98,13,97,13,14,14,98,98,97,
97,97,98,97,97,97,98,98,97,98,38,2,15,45,45,45,159,98,48,98,159,47,159,98,158,
97,97,158,158,97,241,110,158,159,241,241,241,241,241,241,245],
[ ( 1,153, 21,136, 13,198,312, 71,285, 74, 19,193, 28,184)( 2,281,240,321,
84,211, 94,178,109,283,189, 37,303, 34,104,289, 39, 92,180, 11,186,245,
230,270,326,156, 76,243)( 3,121,119, 50, 58,246,228,177,171,100,197,239,
162,234,105,142,336,250,274, 43,107,231,102,122,290,126,331,203)
( 4,139,210, 35, 29,187,167, 5, 82,318, 17,297,117,258,146,306, 10,252,
77,195, 72,147,185,138, 51,134, 47,288)( 6,313,295,329,261,125, 67,279,
215,132,161,106, 7, 55)( 8, 87,181, 85,157, 18,129, 49,217,112,219,158,
14, 45,208,280, 24,291, 57,268,253,323, 86,332,154,320,155, 52)
( 9,218, 38,319, 79,202, 99,251,179,216, 23, 46,175,248)( 12, 88, 89,296,
190,149, 44,304, 90,284,315, 41,150,309,265,226,273,133, 95,263,276,196,
241,131,328,221,260,137)( 15,305, 31,259, 66,298, 64, 20,257,183,173, 65,
172, 98,267, 22,191,174,299, 83,277,302, 25, 54,141,222,205,278)
( 16, 53,301,308,330,324,152, 33,192,310,182, 62, 63,164,160,335, 73,271,
135,115,286,325,272,237, 60,294,247,269)( 26, 48,201,176,254,144,317,327,
68,124,145,101, 70,262,113,275,123,264,199,168,224,111, 78,206,169, 80,
165,213)( 27,225,293,188,242, 56,214,220,212, 61,316, 91,238,159)
( 30,166,151,334,249,322, 32,194, 69,223,311,130,266, 40)( 36,110,116,143,
97,209,128,127,114,333,233,307,256,292)( 42,227,207,244,148,282, 93,163,
235,287,120, 75, 59,314)( 81,103,229, 96,232,255,170,140,118,108,300,200,
236,204), ( 1,175,251,148)( 2, 8,196,237)( 3,183, 65, 68)
( 4,262, 64,234)( 5,317, 98,228)( 6, 69,143,256)( 7, 36,248, 42)
( 9, 75, 71,202)( 10,185,124, 80)( 11,330, 60, 92)( 12, 73,178,323)
( 13, 55,322,120)( 14, 39,226,154)( 15,100,117,121)( 16,273,280,328)
( 17,239,257,111)( 18,270, 90, 85)( 19,106,312,153)( 20,119,195,102)
( 21, 59,218, 23)( 22,113,252, 58)( 24,230,115,149)( 25,327, 51,126)
( 26, 35,274,305)( 27, 56)( 28, 93, 40,132)( 29, 72, 77,167)
( 30,223,249,227)( 31,299, 48,177)( 32,295,198,314)( 33,284, 86,133)
( 34,320, 52,190)( 37, 44,156,276)( 38,307,329,287)( 41, 94,157,253)
( 43,264,246,176)( 45, 95,243,158)( 46,116)( 47,142,267,122)
( 49,265,301,245)( 50,168,173,205)( 53,269,335,164)( 54,222, 78,105)
( 57,129,221,186)( 61,242,159,316)( 62,271,326,303)( 63,150,112,281)
( 66,275,231,191)( 67,266,244,193)( 70,174, 83,197)( 74,282,179,319)
( 76,294,308,189)( 79,333)( 81,200,170,103)( 82,206,101,210)
( 84,309,180,137)( 87,315,160, 89)( 88,219,155,240)( 91,214,188,293)
( 96,236)( 97,161,207,216)( 99,163,125,127)(104,208,304,310)
(107,147,224,278)(108,229)(109,324,263,181)(110,311,215,128)
(114,334,313,292)(118,140,232,204)(123,199,138,306)(130,235,194,151)
(131,217,296,325)(134,288,297,258)(135,182,321,211)(136,261,184,285)
(139,201,254,318)(141,172,250,144)(145,162,169,331)(146,213,277,203)
(152,192,286,272)(165,259,298,290)(166,233,209,279)(171,302,336,187)
(212,225)(220,238)(241,291,268,283)(247,260,332,289)(255,300) ],
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64,65,66,81,89,99],[1,2,6,7,8,10,12,13,22,24,27,28,38,43,44,46,47,49,50,62,66,
67,72,73,79,85,90,100],[1,2,6,8,10,19,20,22,28,42,43,49,62,66,79,88,89,101],[
1,3,4,6,8,14,16,17,23,26,28,37,43,54,63,65,66,82,83,84,102],[1,3,4,6,8,17,19,
20,23,26,28,40,43,54,63,65,66,82,88,89,103],[1,4,7,8,16,18,24,26,27,39,43,52,
63,67,83,87,104],[1,4,8,14,26,41,43,63,84,105],[1,2,3,7,8,9,12,13,22,23,24,27,
32,43,44,45,46,47,50,62,65,67,68,74,78,85,90,106],[1,2,3,4,5,6,8,9,10,11,14,
15,16,17,22,23,25,26,28,29,30,31,37,43,45,48,49,51,54,55,62,63,64,65,66,69,78,
79,80,81,82,83,84,93,94,95,102,107],[1,2,4,5,7,8,11,13,16,18,21,22,24,25,26,
27,31,35,39,43,46,47,48,52,53,57,62,63,64,67,70,80,83,86,87,90,94,96,104,
108],[1,2,4,5,8,11,12,16,22,25,26,31,34,43,44,48,50,56,62,63,64,71,80,83,85,
94,97,109],[1,2,3,4,5,6,7,8,9,10,11,12,13,15,17,18,21,22,23,24,25,26,27,28,29,
32,34,35,38,43,44,45,46,47,48,49,50,51,52,53,54,60,62,63,64,65,66,67,68,69,70,
71,72,73,74,78,79,80,81,82,85,86,87,90,91,93,96,97,100,106,110],[1,2,3,4,5,6,
8,9,10,11,15,17,19,20,22,23,25,26,28,29,33,36,40,42,43,45,48,49,51,54,58,62,
63,64,65,66,69,78,79,80,81,82,88,89,93,98,99,101,103,111],[1,2,4,5,7,8,11,12,
13,14,18,21,22,24,25,26,27,30,34,35,43,44,46,47,48,50,52,53,59,62,63,64,67,70,
71,80,84,85,86,87,90,95,96,97,112],[1,2,4,5,8,11,14,22,25,26,30,41,43,48,61,
62,63,64,80,84,95,105,113],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,
22,23,24,25,26,27,28,29,30,31,32,34,35,37,38,39,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,59,60,62,63,64,65,66,67,68,69,70,71,72,73,74,77,78,79,80,81,82,
83,84,85,86,87,90,91,93,94,95,96,97,100,102,104,106,107,108,109,110,112,114],[
1,2,3,4,5,6,8,9,10,11,14,15,16,17,19,20,22,23,25,26,28,29,30,31,33,36,37,40,
42,43,45,48,49,51,54,55,58,62,63,64,65,66,69,75,78,79,80,81,82,83,84,88,89,93,
94,95,98,99,101,102,103,107,111,115],[1,2,3,4,5,6,8,9,10,11,14,15,16,17,22,23,
25,26,28,29,30,31,37,41,43,45,48,49,51,54,55,61,62,63,64,65,66,69,76,78,79,80,
81,82,83,84,93,94,95,102,105,107,113,116],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1,2,1],[1,1,2,1],[1,1,1,1,
1],[1,1,1],[1,1,2,1],[1,1,1],[1,1,1,1,1],[1,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,
1],[1,1,1],[1,1,2,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,
1],[1,3,1,1],[1,1,2,1,1,2,1,1,1,2,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,2,
2,1,1,1,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,4,1,2,2,2,1],[1,1,1,1,1,2,
1],[1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,1,2,1],[1,1,1,1,1,1,1,1],[1,1,1,
1],[1,1,2,1,1,1,1],[1,4,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,1],[
1,1,2,1,1,1,2,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,3,
3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[
1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,4,1],[1,1,1,1,1,4,2,1,2,1],[1,1,1,1,8,1,4,2,4,
4,1,2,4,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,1,2,2,2,2,2,1,1,
1,1],[1,1,2,1,1,2,4,1,1,1,2,2,2,2,2,2,1,2,1,1,2,1],[1,1,1,1,1,2,1,2,1],[1,1,4,
4,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,1,4,4,1,1],[1,9,4,12,1,1],[1,3,4,1,3,
1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,2,3,3,6,1,1,3,3,6,6,1,2,1,1,2,3,1,
1,1,2,2,1],[1,1,3,3,8,1,3,4,6,6,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,3,3,1,3,4,1,1,1,
3,1,1,1,1],[1,1,6,2,1,3,3,1,1,2,2,3,1,1,1,1],[1,1,6,6,1,3,1,3,1,2,2,3,1,1,1,
1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,4,4,1,1,1,2,2,
4,4,4,1,2,1],[1,1,2,1,1,2,1,1,1,2,2,2,2,1,1,1,4,4,1,2,1],[1,1,2,1,1,2,8,1,1,1,
4,4,2,2,2,2,4,4,1,1,1,4,2,2,4,4,4,1,1,1,2,2,1],[1,1,2,4,1,4,8,1,4,1,2,1],[1,1,
18,4,9,4,24,1,12,1,2,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,1,1],[1,1,9,9,4,9,4,12,
12,1,12,1,1,1,1],[1,1,9,9,4,9,4,12,12,1,12,1,1,1,1],[1,9,4,9,12,1,1,1],[1,9,4,
9,12,1,1,1],[1,1,4,3,4,1,1,3,1,1],[1,9,6,4,9,2,12,6,1,6,1,2,1],[1,9,6,4,9,2,
12,6,1,6,1,2,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,1,6,4,3,4,2,6,1,1,3,
1,2,1],[1,1,2,3,3,6,8,1,1,3,3,4,4,6,6,6,6,1,2,2,1,1,2,2,3,4,3,3,6,1,1,1,1,1,1,
1,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,8,1,1,1,4,4,2,2,2,2,4,4,4,4,1,1,1,4,
2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,9,9,18,4,1,9,9,18,18,4,8,12,
12,24,9,1,4,12,12,24,24,1,1,1,2,2,12,1,1,1,2,2,1],[1,1,9,9,4,9,18,4,12,12,9,1,
12,1,1,1,1,2,1],[1,1,9,9,4,9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,9,9,12,4,9,6,
18,18,4,4,12,12,12,9,1,2,6,12,12,12,1,1,1,4,6,1,2,2,2,1],[1,1,9,9,4,9,6,4,12,
12,9,1,2,12,6,1,1,1,6,1,2,1],[1,1,9,9,4,9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,
9,9,4,9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,18,6,4,9,3,3,4,2,6,24,9,1,1,1,3,
12,3,1,2,2,3,3,1,1,1,1],[1,1,18,4,9,9,9,4,24,9,1,12,1,2,1,1,1,1],[1,1,9,9,4,9,
9,9,4,12,12,9,1,12,1,1,1,1,1,1,1],[1,1,9,9,4,9,9,9,4,12,12,9,1,12,1,1,1,1,1,1,
1],[1,9,12,4,9,18,4,12,12,9,1,12,1,4,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,1,2,6,4,
1,3,3,4,8,2,6,3,1,1,4,1,3,3,1,2,2,1,3,1,1,1,1],[1,1,2,9,9,18,4,1,9,9,18,18,18,
18,4,8,12,12,24,9,9,9,36,1,4,12,12,24,24,9,1,1,1,2,2,12,1,1,1,2,2,2,2,1,1,1,4,
1],[1,1,9,9,24,4,9,12,18,36,36,4,8,12,12,24,9,18,36,1,4,12,12,24,24,9,1,1,1,8,
12,1,2,4,4,4,1,2,4,1],[1,1,9,9,4,9,12,18,4,12,12,9,18,1,4,12,12,9,1,1,1,12,1,
2,4,1,2,1],[1,1,2,9,9,18,12,4,1,9,9,6,6,18,18,18,18,4,8,4,12,12,12,24,9,6,9,9,
18,1,2,4,2,6,12,12,6,24,12,12,24,9,1,1,1,2,2,4,2,12,6,6,6,6,6,1,1,1,2,2,2,2,2,
2,6,1,1,1,2,2,1],[1,1,2,9,9,18,4,1,9,9,18,18,18,18,4,8,12,12,24,9,9,9,18,18,1,
4,12,12,24,24,9,1,1,1,2,2,12,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,9,9,12,4,9,6,6,
18,18,18,4,4,12,12,12,9,9,9,1,2,2,6,12,6,12,12,9,1,1,1,4,6,6,1,2,2,2,2,2,1,1,
1,1],[1,1,9,9,4,9,18,4,12,12,9,18,1,12,9,1,1,1,1,2,1,2,1],[1,1,2,9,9,18,24,4,
1,9,9,12,12,18,18,18,18,36,36,4,8,8,12,12,24,24,9,9,9,12,18,18,36,36,36,1,4,4,
4,12,12,12,12,24,24,24,24,9,9,9,18,18,1,1,1,2,2,8,4,12,12,12,12,12,12,9,1,1,1,
2,2,2,2,4,4,4,4,12,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,9,9,18,4,1,9,9,18,18,
18,18,36,36,4,8,12,12,24,9,9,9,18,18,36,36,36,1,4,12,12,24,24,9,18,1,1,1,2,2,
12,9,1,1,1,2,2,2,2,4,4,1,1,1,2,2,4,4,4,1,2,1],[1,1,2,9,9,18,4,1,9,9,18,18,18,
18,4,8,12,12,24,9,9,9,36,36,1,4,12,12,24,24,9,18,1,1,1,2,2,12,9,1,1,1,2,2,2,2,
1,1,1,4,4,1,2,1],[1,1,2,9,9,18,24,4,1,9,9,12,12,18,18,18,18,36,36,36,36,4,8,8,
12,12,24,24,9,9,9,12,18,18,18,18,36,36,36,36,36,36,1,4,4,4,12,12,12,12,24,24,
24,24,9,9,9,18,18,18,18,1,1,1,2,2,8,4,12,12,12,12,12,12,9,9,9,1,1,1,2,2,2,2,4,
4,4,4,4,4,12,9,1,1,1,2,2,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1]],
[1,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,9,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,18,18,18,18,
18,18,24,24,24,24,24,24,24,32,32,32,36,36,36,36,36,36,36,36,36,36,36,36,36,48,
64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,144,144,144,144,144,288,
288,288,576],
[117,117,115,92,92,75,70,110,117,92,92,91,91,76,75,77,75,57,58,58,59,110,93,
96,91,91,70,69,92,92,92,91,75,77,77,75,55,60,57,58,61,58,117,110,110,110,91,
91,91,91,69,70,70,69,92,92,92,75,77,77,76,117,117,117,115,115,96,110,91,91,91,
91,91,91,92,92,92,117,117,117,115,115,114,116,110,112,108,111,111,110,91,92,
117,117,117,114,114,115,115,110,111,107,111,108,113,110,117,117,117,114,115,
114,116,117,117,117,117],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,8,8,1,8,1,1,1,2,1,1,1,1,1,2,
4,1,1,1,1,8,1,8,1,8,8,1,8,8,8,8,1,4,4,1,5,2,1,1,43,43,1,43,8,22,8,8,8,22,22,2,
5,2,11,1,43,43,43,43,43,43,8,43,43,43,43,8,22,31,43,43,43,43,43,43,43,62,43,
43,43,63,43,22,43,63,63,62,43,64,43,80,64,62,94],
[ ( 1,256,316, 91,106, 7, 30,161)( 2,158, 14,183,263,134,208, 92)
( 3,309,162, 47, 20, 39,273, 76)( 4, 34,115,187,304,330,180, 11)
( 5, 77,259, 82, 12,326,123,177)( 6,218,279, 40,236,307,108, 81)
( 8,321,104,320,155, 54,149,297)( 9,314,322,293,334, 46,235,300)
( 10, 90, 51,145,264,278,168, 70)( 13,311,184,238, 23, 67, 27,329)
( 15, 16, 31,152,111,199, 57,291)( 17,169,176, 98,144,165,210,241)
( 18,129,260,275,245,246,323,284)( 19,166,200, 55,216,114,204,287)
( 21,194, 56,110,120,220,163,266)( 22,100,258,277,197, 25,336,109)
( 24,328,206, 44,181,315,124,276)( 26,121, 45,234,139,205, 78,237)
( 28, 97,285,292,118,153,215,282)( 29,174,185,265,189,201,231,147)
( 32,248,151,179,103,223, 59,313)( 33,192, 41,228,101,112,133,301)
( 35,299,281,239,138, 86,317,271)( 36,319,170,125,249, 71,232,244)
( 37,154,298,186,156,219, 83, 94)( 38,214,127,159)( 42, 69,251,188,242,
227,207,312)( 43, 49,131,268,253,150, 48,178)( 50, 60,226,280, 72,222,
213, 58)( 52,203,306,172, 68,310,113,142)( 53,247,173,171,335, 63,141,102
)( 61, 74,116,261, 96,209,132,193)( 62,190,164,283,294, 95,269,270)
( 64,290,257,119,230,305,122,288)( 65,262,274,250,182, 88, 87,167)
( 66,289,126,318,217,224,308,252)( 73,325,272,221,107, 80,332,296)
( 75,198,255, 99,229,140,148,128)( 79,225,295,202)( 84,211,146,243,324,
195,196,135)( 85,267,160,191,286,327,254,157)( 89,303,105,137,331,117,
302,240)( 93,233,333,212)(130,175,136,143),
( 1, 27,108,161)( 2,230,234,154)( 3,270,199, 60)( 4,208, 82,325)
( 5,328,336,320)( 6,232, 21,202)( 7, 30, 81, 79)( 8,185, 33,146)
( 9,314, 32, 38)( 10,231, 14,122)( 11,272,197, 68)( 12, 26, 18, 73)
( 13, 55,198,255)( 15, 39, 76,226)( 16,252,138, 20)( 17, 84,237,326)
( 19,295,194, 56)( 22, 54,323, 52)( 23, 67,256,125)( 24, 77,296,129)
( 25,206,304,172)( 28,127,209,132)( 29,133,253,181)( 31,271,191,308)
( 34,134)( 35,318,302,160)( 36,319,242,279)( 37,139,135,169)
( 40,236,266,244)( 41,277,221, 64)( 42, 69,220,229)( 43,263,115,144)
( 44,150, 98,187)( 45,305,183, 49)( 46,215,116, 59)( 47, 86,167,262)
( 48,101, 94,176)( 50, 57,327,294)( 51,180,310,189)( 53,173,335,141)
( 58, 95,289,331)( 61, 74,282,193)( 62,250,157,111)( 66,269,309,239)
( 70,288,107,245)( 71,218,227,212)( 72,213,117,217)( 75,216,114, 91)
( 78,211,192,290)( 80,186,264,275)( 83,112,174,321)( 85, 87,317,152)
( 88,267,240,303)( 90,201)( 92,298,332,259)( 93,184,238,249)
( 96,159,248,151)( 97,285,300,214)( 99,163,307,329)(100,210,177,155)
(103,223,261,179)(104,109,203,219)(105,283,254,182)(106,225,166,128)
(110,120,251,287)(113,268,301,265)(118,153,235,292)(119,158,147,315)
(121,131,142,284)(123,241)(124,196,205,257)(126,299,164,137)
(130,175,136,143)(140,333,207,312)(145,156,306,330)(148,200,311,233)
(149,324,168,246)(162,274,190,281)(165,258,228,178)(170,316,204,188)
(195,276,260,278)(224,286,291,280)(243,297)(293,334,313,322) ],
[[[[]]],[[[1,2],[1,1,2,1],[2,1,4,1,3,-2,2,1,3,1,4,1]]],[[[1,2],[3,1,2,-2,1,1,
3,1,2,1,1,1,2,1]]],[[[1,-4]]],[[[2,1,1,1,2,1,1,-3]]],[[[2,-2]]],[[[1,1,2,
-1]]],[[[2,1,1,1,2,1],[3,1,1,2,3,1]]],[[[1,2],[3,1,2,-2,1,1,3,1,2,1,1,1,2,
1]],[[1,2],[3,1,2,1,1,1,2,1,3,1,2,-2,1,1]]],[[[1,2],[1,1,2,1],[3,1,4,-1,2,-1,
3,-1,2,-1,4,-1]],[[1,2,2,1,1,2,2,1]]],[[[1,2],[3,-2,2,1,3,1,2,-1,3,1]],[[2,-2,
1,2,2,-2,1,2]]],[[[1,2,2,-2,1,-1,2,-1]]],[[[1,1,2,-2,1,2,2,-1]],[[1,2],[1,-1,
3,-1,2,1,3,1]]],[[[1,1,2,1],[1,-2]]],[[[1,2],[2,1,3,1],[3,1,4,1,3,1,4,1]],[[1,
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11,12,73,81,84,86,88,89,101,279],[1,5,8,10,46,48,57,280],[1,6,9,10,11,12,42,
59,82,84,87,91,102,281],[1,7,9,10,12,63,65,66,80,84,98,99,282],[1,5,12,16,38,
57,283],[1,7,9,10,11,12,32,59,63,73,76,77,80,284],[1,5,6,11,45,51,57,285],[1,
8,9,10,11,35,66,68,71,77,82,90,286],[1,4,9,10,11,12,59,66,75,79,88,92,287],[1,
5,11,16,45,64,288],[1,6,10,11,12,40,59,65,69,74,94,97,289],[1,5,8,9,48,50,64,
290],[1,7,9,10,11,12,33,59,76,78,80,89,98,291],[1,5,6,7,8,29,41,48,54,58,62,
96,292],[1,8,10,11,12,49,59,61,68,70,81,94,293],[1,3,9,10,11,12,60,77,85,99,
101,102,294],[1,4,6,8,21,105,106,295],[1,4,6,8,21,83,104,296],[1,5,9,10,12,38,
65,72,76,94,103,107,297],[1,8,9,10,12,37,65,67,71,76,99,103,298],[1,6,10,11,
12,53,59,61,69,74,81,101,299],[1,7,9,10,11,12,30,63,76,77,78,86,98,300],[1,7,
9,10,11,12,15,63,73,80,86,89,98,301],[1,7,9,10,11,61,63,73,82,86,88,102,302],[
1,8,9,10,12,49,66,67,71,76,82,94,303],[1,7,9,10,11,63,66,73,81,86,90,102,
304],[1,5,9,11,12,50,55,78,88,90,95,99,305],[1,8,9,10,11,32,49,61,66,68,71,
102,306],[1,7,8,12,37,43,106,307],[1,6,8,12,37,41,105,308],[1,8,12,17,37,106,
309],[1,5,8,12,37,52,105,310],[1,6,12,18,40,104,311],[1,7,9,10,12,63,80,82,84,
94,98,103,312],[1,8,9,10,11,12,37,68,71,78,79,84,94,313],[1,6,8,12,39,40,83,
314],[1,4,9,10,11,12,75,76,84,90,92,97,315],[1,2,6,7,9,10,11,12,24,56,74,80,
86,91,93,316],[1,6,10,11,12,32,42,61,69,74,79,94,317],[1,5,7,22,57,64,318],[1,
6,9,10,11,12,40,74,76,79,87,100,101,319],[1,8,9,10,11,12,49,65,67,70,77,79,84,
320],[1,6,9,10,11,31,53,74,81,87,88,102,321],[1,6,9,10,11,44,74,77,82,87,88,
90,322],[1,5,6,7,8,22,47,52,54,58,62,96,323],[1,5,7,22,57,64,324],[1,4,9,10,
11,12,65,75,78,82,92,100,325],[1,4,9,10,11,12,75,77,92,94,101,102,326],[1,4,5,
7,9,10,11,12,28,72,75,80,86,92,95,327],[1,4,6,8,9,10,11,12,21,69,70,71,75,87,
92,328],[1,5,6,7,8,29,39,51,52,58,62,96,329],[1,8,9,11,12,34,67,70,78,88,97,
101,330],[1,2,9,10,11,12,56,65,78,81,93,100,331],[1,7,8,20,105,106,332],[1,2,
9,10,11,12,56,77,93,94,99,102,333],[1,6,9,11,12,40,78,87,91,97,99,103,334],[1,
2,6,7,9,10,11,12,24,56,69,73,87,93,98,335],[1,5,9,10,11,45,55,72,77,81,88,90,
336],[1,3,9,10,11,12,60,78,81,82,85,100,337],[1,5,6,7,8,27,36,41,51,58,62,96,
338],[1,7,10,11,12,61,65,73,79,80,89,101,339],[1,7,9,10,11,12,65,80,89,97,98,
102,103,340],[1,6,9,10,12,42,65,66,69,76,91,94,341],[1,5,10,11,12,33,38,65,79,
95,97,107,342],[1,6,8,10,41,49,105,343],[1,5,9,10,12,50,66,72,76,82,99,107,
344],[1,2,5,8,25,57,64,345],[1,3,5,6,26,83,104,346],[1,5,7,9,10,11,12,22,55,
72,73,95,98,107,347],[1,5,9,10,11,30,50,55,72,82,90,102,348],[1,6,8,10,39,42,
104,349],[1,5,9,10,11,12,45,61,72,78,79,102,107,350],[1,2,5,8,25,105,106,
351],[1,5,6,12,40,54,83,352],[1,6,7,12,36,40,104,353],[1,6,9,10,11,12,53,69,
77,79,91,97,100,354],[1,7,8,10,43,49,106,355],[1,2,9,10,11,12,56,59,79,88,93,
103,356],[1,8,10,17,49,106,357],[1,5,8,10,49,52,105,358],[1,6,10,18,42,83,
359],[1,5,6,10,42,54,104,360],[1,6,7,10,36,42,83,361],[1,6,7,9,36,44,83,362],[
1,5,6,12,38,51,64,363],[1,6,7,27,83,104,364],[1,6,7,27,83,104,365],[1,8,10,11,
12,37,59,65,68,70,97,101,366],[1,7,9,11,12,86,88,89,97,98,99,100,367],[1,7,9,
11,12,86,89,90,98,100,101,103,368],[1,5,8,9,35,52,106,369],[1,8,9,11,12,33,37,
67,70,97,100,103,370],[1,7,8,20,105,106,371],[1,5,6,9,44,54,104,372],[1,5,9,
11,12,31,45,55,88,95,100,101,373],[1,6,8,9,39,44,104,374],[1,5,7,12,38,47,57,
375],[1,6,9,18,44,83,376],[1,6,8,9,35,41,106,377],[1,7,8,9,35,43,105,378],[1,
5,6,7,8,15,36,43,47,58,62,96,379],[1,5,8,11,34,52,106,380],[1,3,5,6,26,57,64,
381],[1,6,7,11,36,53,104,382],[1,6,11,18,53,104,383],[1,5,6,11,53,54,83,384],[
1,7,8,11,34,43,105,385],[1,8,11,17,34,105,386],[1,8,9,17,35,105,387],[1,5,8,
12,38,48,64,388],[1,6,8,11,39,53,83,389],[1,6,8,11,34,41,106,390],[1,3,108,
391],[1,9,108,392],[1,4,108,393],[1,11,108,394],[1,2,108,395],[1,12,108,396],[
1,10,108,397],[1,5,13,16,398],[1,6,13,18,399],[1,8,13,17,400],[1,7,13,15,
401],[1,12,13,33,402],[1,10,13,32,403],[1,11,13,31,404],[1,9,13,30,405],[1,3,
10,12,13,60,109,110,111,406],[1,3,9,11,13,85,110,114,115,407],[1,4,9,12,13,92,
111,112,115,408],[1,2,11,12,13,93,111,113,114,409],[1,2,9,10,13,56,109,113,
115,410],[1,2,3,4,13,14,110,112,113,411],[1,4,10,11,13,75,109,112,114,412],[1,
2,3,4,5,6,7,8,14,15,19,20,21,22,23,24,25,26,27,28,29,116,117,118,128,134,135,
137,413],[1,5,6,8,19,39,41,48,51,52,54,210,226,230,414],[1,5,6,7,8,15,16,17,
18,19,36,43,47,58,62,96,170,222,225,379,415],[1,2,3,4,5,6,7,8,14,18,21,23,24,
25,26,28,36,39,54,58,120,125,126,128,182,189,211,416],[1,2,3,4,5,6,7,8,14,17,
21,23,24,25,26,28,41,43,52,62,119,121,124,128,186,207,209,417],[1,2,3,4,5,6,7,
8,14,16,21,23,24,25,26,28,47,48,51,96,122,123,127,128,188,206,231,418],[1,3,5,
6,7,8,17,19,22,23,26,27,29,36,39,43,47,48,58,96,124,131,134,139,164,198,211,
225,231,419],[1,4,5,6,7,8,10,11,19,20,21,27,28,29,34,42,45,46,49,53,68,73,74,
75,130,133,137,156,171,179,190,199,223,420],[1,4,5,6,7,8,17,18,19,20,21,27,28,
29,39,41,48,51,96,119,120,131,136,137,174,181,206,230,421],[1,3,5,6,7,8,10,12,
19,22,23,26,27,29,37,38,40,42,46,49,60,69,80,107,130,134,138,153,163,172,185,
219,220,422],[1,2,5,6,7,8,11,12,19,20,22,24,25,29,34,37,38,40,45,53,70,89,93,
95,133,135,138,157,169,180,183,203,205,423],[1,4,5,6,7,8,19,20,21,27,28,29,64,
137,187,197,214,424],[1,3,5,6,7,8,19,22,23,26,27,29,105,134,155,191,217,425],[
1,4,5,6,7,8,9,12,19,20,21,27,28,29,35,37,38,40,44,50,67,91,92,98,129,137,138,
158,167,184,194,195,212,426],[1,4,5,6,7,8,19,20,21,27,28,29,57,137,166,193,
218,427],[1,2,5,6,7,8,18,19,20,22,24,25,29,36,41,43,47,51,62,96,126,135,136,
139,186,188,208,222,224,428],[1,2,5,6,7,8,19,20,22,24,25,29,104,135,168,176,
215,429],[1,4,5,6,7,8,16,19,20,21,27,28,29,36,43,47,52,54,58,62,127,132,137,
139,170,182,202,207,232,430],[1,3,5,6,7,8,16,18,19,22,23,26,27,29,41,51,52,54,
62,123,125,132,134,136,201,209,216,226,431],[1,3,5,6,7,8,9,11,19,22,23,26,27,
29,34,35,44,45,50,53,55,85,86,87,129,133,134,154,159,165,196,227,229,432],[1,
2,5,6,7,8,19,20,22,24,25,29,83,135,160,177,204,433],[1,2,5,6,7,8,9,10,19,20,
22,24,25,29,35,42,44,46,49,50,56,63,71,72,129,130,135,161,173,178,213,221,228,
434],[1,2,5,6,7,8,16,17,19,20,22,24,25,29,39,48,52,54,58,121,122,131,132,135,
152,189,200,210,435],[1,3,5,6,7,8,19,22,23,26,27,29,106,134,162,175,192,436],[
1,2,3,4,9,10,11,12,14,32,56,60,65,75,78,81,82,85,92,93,100,140,148,149,261,
325,331,337,437],[1,7,9,10,11,12,15,30,31,32,33,59,63,73,76,77,78,80,86,89,98,
250,284,291,300,301,438],[1,2,3,4,9,10,11,12,14,33,56,60,75,77,85,92,93,94,99,
101,102,143,145,147,261,294,326,333,439],[1,2,3,4,9,10,11,12,14,31,56,60,61,
75,76,84,85,90,92,93,97,141,146,151,248,261,276,315,440],[1,2,3,4,9,10,11,12,
14,30,56,59,60,66,75,79,85,88,92,93,103,142,144,150,245,261,287,356,441],[1,2,
3,4,5,6,7,8,14,21,23,24,25,26,28,83,104,128,160,168,296,346,442],[1,2,3,4,5,6,
7,8,9,10,11,12,14,21,23,24,25,26,28,40,42,44,53,55,56,60,63,67,68,75,85,89,92,
93,107,128,153,154,161,167,171,203,236,244,261,265,443],[1,5,6,8,19,41,51,52,
54,57,104,193,215,226,444],[1,5,6,7,8,17,19,43,57,58,96,104,193,215,225,445],[
1,5,6,8,10,11,12,29,37,40,45,46,49,53,59,61,65,68,69,70,74,81,94,95,97,101,
107,179,183,219,243,258,289,293,299,366,446],[1,2,3,4,5,6,7,8,14,21,23,24,25,
26,28,57,64,128,197,218,345,381,447],[1,5,6,8,9,11,29,34,35,55,64,87,104,165,
176,187,448],[1,3,5,6,7,8,9,10,11,12,19,22,23,26,27,29,40,42,44,53,55,60,70,
71,72,73,74,85,91,95,98,107,134,153,154,158,183,199,213,237,240,246,347,449],[
1,5,6,8,9,19,35,41,44,50,51,52,54,106,129,162,226,369,377,450],[1,5,6,8,10,12,
17,29,37,39,48,49,69,106,107,131,175,219,309,357,451],[1,2,3,4,5,6,7,8,9,10,
11,12,14,21,23,24,25,26,28,38,45,46,50,56,60,69,70,71,73,75,85,87,92,93,98,
128,156,163,169,195,221,229,240,261,328,335,452],[1,5,6,7,8,16,18,19,22,27,36,
41,47,51,52,54,58,62,96,170,201,202,216,222,224,226,323,338,453],[1,5,6,7,8,
16,19,22,29,39,41,47,48,51,52,54,58,62,96,132,170,200,201,210,226,292,323,329,
454],[1,5,6,8,10,12,29,37,49,57,69,104,107,166,176,219,455],[1,5,6,7,8,16,17,
19,20,22,39,43,47,48,52,54,58,62,96,152,170,198,200,210,225,232,266,323,456],[
1,3,5,6,7,8,19,22,23,26,27,29,83,104,134,176,177,346,364,457],[1,3,5,6,7,8,19,
22,23,26,27,29,83,104,134,204,215,346,365,458],[1,5,6,7,8,18,19,27,29,36,39,
41,48,51,52,54,58,62,96,136,174,216,222,226,230,292,329,338,459],[1,5,6,8,9,
10,29,42,44,64,71,72,106,175,187,213,460],[1,3,5,6,7,8,9,10,11,12,19,22,23,26,
27,29,38,45,46,50,60,63,67,68,69,72,74,85,87,89,91,95,134,157,163,178,179,194,
229,236,246,253,267,461],[1,5,6,7,8,10,12,29,36,37,43,47,49,69,106,107,139,
175,219,307,355,462],[1,5,6,8,9,10,11,12,29,31,34,35,40,45,46,53,55,68,70,74,
76,79,81,87,88,95,100,101,102,165,179,183,234,263,272,319,321,373,463],[1,5,6,
7,8,18,19,36,57,62,96,105,193,217,222,464],[1,5,6,8,10,11,17,29,39,45,46,48,
57,68,74,131,166,179,259,280,465],[1,5,6,8,10,12,16,29,37,49,52,54,69,105,107,
132,155,219,310,358,466],[1,5,6,8,10,12,29,37,49,64,69,83,107,177,187,219,
467],[1,5,6,8,19,41,51,52,54,57,83,193,204,226,468],[1,4,5,7,9,10,11,12,15,22,
28,38,45,46,50,55,63,72,73,75,80,86,89,92,95,98,107,118,156,157,178,185,195,
196,244,301,327,347,469],[1,5,6,8,10,12,29,37,49,64,69,104,107,176,187,219,
470],[1,5,6,8,10,11,29,45,46,68,74,104,105,155,176,179,471],[1,5,6,7,8,17,18,
19,20,27,36,39,41,43,48,51,58,62,96,164,174,181,208,222,225,230,266,338,472],[
1,5,6,8,9,12,17,29,38,39,48,50,64,67,91,131,187,194,290,388,473],[1,5,6,8,9,
12,18,29,38,41,50,51,64,67,91,136,187,194,256,363,474],[1,2,5,6,7,8,9,10,11,
12,19,20,22,24,25,29,38,45,46,50,55,56,67,68,70,71,74,80,86,91,93,107,135,169,
179,185,194,196,221,237,254,265,316,475],[1,5,6,8,9,12,29,38,50,67,91,104,105,
155,176,194,476],[1,5,6,8,10,19,39,41,42,46,48,49,51,57,130,193,230,269,280,
477],[1,5,6,7,8,10,18,19,36,42,46,49,62,83,96,130,204,222,359,361,478],[1,5,6,
8,10,19,39,42,46,48,49,52,54,104,130,210,215,349,360,479],[1,5,6,7,8,10,16,19,
42,46,47,49,58,62,64,130,170,214,268,270,480],[1,5,6,8,10,11,16,29,45,46,52,
54,64,68,74,132,179,187,270,288,481],[1,5,6,8,10,11,29,45,46,68,74,83,105,155,
177,179,482],[1,2,6,7,15,24,27,83,104,116,160,168,364,365,483],[1,5,6,7,8,12,
16,19,37,38,40,47,57,58,62,138,170,193,283,375,484],[1,5,6,8,10,11,29,45,46,
68,74,83,106,175,177,179,485],[1,3,5,6,7,8,19,22,23,26,27,29,57,64,134,193,
214,324,381,486],[1,5,6,8,12,19,37,38,39,40,48,52,54,83,138,204,210,314,352,
487],[1,5,6,8,9,12,16,29,38,50,52,54,57,67,91,132,166,194,262,283,488],[1,5,6,
8,12,19,37,38,40,41,51,52,54,105,138,217,226,308,310,489],[1,5,6,7,8,9,17,19,
35,43,44,50,58,96,105,129,217,225,378,387,490],[1,4,5,6,7,8,19,20,21,27,28,29,
105,106,137,162,217,295,371,491],[1,5,6,8,19,39,48,52,54,57,105,193,210,217,
492],[1,2,3,4,5,6,7,8,14,21,23,24,25,26,28,105,106,128,191,192,295,351,493],[
1,5,6,7,8,17,19,43,57,58,83,96,193,204,225,494],[1,5,6,8,11,12,18,29,40,41,51,
53,70,95,104,136,176,183,311,383,495],[1,5,6,8,9,10,12,29,37,38,42,44,49,50,
65,66,67,69,71,72,76,82,91,94,99,103,107,194,213,219,247,297,298,303,341,344,
496],[1,5,6,8,9,10,16,29,42,44,52,54,71,72,104,132,176,213,360,372,497],[1,5,
6,8,12,19,37,38,39,40,41,48,51,64,138,214,230,363,388,498],[1,5,6,8,9,10,17,
29,39,42,44,48,71,72,104,131,176,213,349,374,499],[1,5,6,8,19,39,41,48,51,104,
105,215,217,230,500],[1,4,5,6,7,8,19,20,21,27,28,29,105,106,137,155,175,295,
332,501],[1,5,6,8,9,10,29,42,44,57,71,72,106,166,175,213,502],[1,5,6,8,9,10,
11,12,29,33,37,38,40,49,50,53,65,67,69,70,77,79,84,91,95,97,100,103,107,183,
194,219,241,277,320,342,354,370,503],[1,4,5,6,7,8,15,16,21,22,28,36,43,47,48,
51,52,54,58,62,96,118,127,182,198,200,201,206,207,224,323,379,504],[1,5,6,8,
10,12,18,29,37,41,49,51,69,105,107,136,155,219,308,343,505],[1,5,6,7,8,10,11,
29,36,43,45,46,47,64,68,74,139,179,187,268,273,506],[1,5,6,7,8,9,11,29,34,35,
36,43,47,55,87,105,139,155,165,378,385,507],[1,3,5,6,7,8,18,19,22,23,26,27,29,
36,39,41,47,48,52,54,58,62,96,125,134,174,202,209,210,211,222,231,292,323,
508],[1,5,6,8,11,12,16,29,40,52,53,54,70,83,95,132,177,183,352,384,509],[1,5,
6,7,8,11,12,29,36,40,43,47,53,70,95,104,139,176,183,353,382,510],[1,5,6,8,11,
12,17,29,39,40,48,53,70,83,95,131,177,183,314,389,511],[1,4,5,6,7,8,9,10,11,
12,19,20,21,27,28,29,34,35,37,49,55,63,69,70,71,74,75,87,89,91,92,107,137,165,
205,212,219,223,228,237,244,267,328,512],[1,2,6,7,9,10,11,12,15,24,27,40,42,
44,53,56,63,69,73,74,80,86,87,89,91,93,98,116,158,161,199,203,220,227,267,301,
316,335,513],[1,5,6,8,11,12,29,40,53,57,70,95,106,166,175,183,514],[1,5,6,8,
11,12,29,40,53,64,70,95,106,175,183,187,515],[1,4,5,7,15,22,28,57,64,118,197,
218,318,324,516],[1,5,6,8,9,10,29,42,44,64,71,72,105,155,187,213,517],[1,3,5,
6,7,8,19,22,23,26,27,29,57,64,134,166,187,318,381,518],[1,4,5,6,7,8,9,10,11,
12,19,20,21,27,28,29,40,42,44,53,67,68,69,70,71,72,75,80,86,87,92,95,137,167,
171,183,213,220,227,253,254,327,328,519],[1,2,5,6,7,8,16,19,20,22,24,25,29,39,
41,43,47,48,51,54,58,62,96,122,135,170,186,188,189,198,201,230,266,292,520],[
1,5,6,7,8,18,19,36,62,64,96,105,214,217,222,521],[1,5,6,8,10,19,41,42,46,49,
51,52,54,105,130,217,226,343,358,522],[1,2,5,6,7,8,17,19,20,22,24,25,29,39,41,
43,47,51,52,54,58,62,96,121,135,181,186,188,189,225,226,232,323,329,523],[1,2,
5,6,7,8,19,20,22,24,25,29,57,64,135,166,187,324,345,524],[1,2,5,6,7,8,19,20,
22,24,25,29,105,106,135,155,175,351,371,525],[1,5,6,7,8,12,18,19,36,37,38,40,
62,96,104,138,215,222,311,353,526],[1,2,5,6,7,8,19,20,22,24,25,29,105,106,135,
162,217,332,351,527],[1,5,6,8,9,10,11,12,29,30,34,35,38,42,44,50,55,59,67,71,
72,82,84,87,90,91,99,100,102,165,194,213,249,252,255,271,281,348,528],[1,5,6,
8,9,10,11,12,29,32,37,42,44,45,46,49,61,66,68,69,71,72,74,78,79,84,94,102,107,
179,213,219,257,274,306,313,317,350,529],[1,3,7,8,9,10,11,12,15,20,23,34,35,
37,49,60,63,67,68,70,71,73,80,85,86,89,98,117,159,172,184,190,205,228,236,240,
254,301,530],[1,5,6,8,19,39,41,48,51,104,106,162,215,230,531],[1,5,6,8,9,10,
11,29,34,35,42,44,45,46,55,61,66,68,71,72,74,77,81,82,87,88,90,165,179,213,
238,239,242,286,322,336,532],[1,5,6,8,9,11,17,29,34,35,39,48,55,87,105,131,
155,165,386,387,533],[1,3,5,6,7,8,16,19,22,23,26,27,29,36,39,41,47,48,51,52,
58,62,96,123,134,170,200,209,211,224,230,231,329,338,534],[1,5,6,8,9,11,18,29,
34,35,41,51,55,87,106,136,165,175,377,390,535],[1,5,6,8,10,12,29,37,49,57,69,
83,107,166,177,219,536],[1,5,6,7,8,18,19,36,57,62,96,106,162,193,222,537],[1,
3,5,6,7,8,15,17,20,23,26,36,39,41,43,47,48,52,58,62,96,117,124,152,181,208,
209,211,231,232,266,379,538],[1,5,6,7,8,9,10,29,36,42,43,44,47,71,72,83,139,
177,213,361,362,539],[1,4,5,6,7,8,17,19,20,21,27,28,29,36,41,43,48,51,52,54,
58,62,96,119,137,152,182,206,207,208,225,226,292,338,540],[1,5,6,8,9,10,29,42,
44,57,71,72,105,155,166,213,541],[1,5,6,8,19,39,41,48,51,83,106,162,204,230,
542],[1,5,6,7,8,12,17,19,37,38,40,43,58,96,106,138,162,225,307,309,543],[1,2,
3,4,5,6,7,8,9,10,11,12,14,21,23,24,25,26,28,34,35,37,49,56,60,72,74,75,80,85,
86,91,92,93,95,128,159,172,173,180,212,223,246,261,316,327,544],[1,5,6,8,9,12,
29,38,50,67,83,91,106,175,177,194,545],[1,5,6,8,11,19,34,39,41,45,48,51,53,57,
133,193,230,259,285,546],[1,5,6,7,8,18,19,36,62,64,96,106,162,214,222,547],[1,
5,6,7,8,10,17,19,42,43,46,49,58,96,106,130,162,225,355,357,548],[1,5,6,7,8,11,
16,19,34,45,47,53,58,62,64,133,170,214,273,288,549],[1,5,6,8,9,11,29,34,35,55,
64,83,87,165,177,187,550],[1,5,6,8,9,11,29,34,35,55,57,87,104,165,166,176,
551],[1,5,6,8,9,11,12,29,34,35,38,40,50,53,55,67,70,78,87,88,90,91,95,97,99,
101,103,165,183,194,233,260,278,305,330,334,552],[1,5,6,7,8,17,19,20,29,39,41,
43,48,51,52,54,58,62,96,131,152,181,210,225,230,266,292,329,553],[1,5,6,7,8,
17,19,43,58,64,83,96,204,214,225,554],[1,5,6,7,8,17,19,43,58,64,96,104,214,
215,225,555],[1,5,6,7,8,16,19,47,58,62,83,106,162,170,204,556],[1,5,6,8,19,39,
41,48,51,83,105,204,217,230,557],[1,4,5,6,7,8,19,20,21,27,28,29,83,104,137,
204,215,296,364,558],[1,2,5,6,7,8,15,18,24,25,27,36,39,41,43,47,51,54,58,62,
96,116,126,164,174,186,188,189,202,216,338,379,559],[1,5,6,8,9,12,29,38,50,67,
91,104,106,175,176,194,560],[1,5,6,8,9,12,29,38,50,67,83,91,105,155,177,194,
561],[1,5,6,8,10,11,18,29,41,45,46,51,57,68,74,136,166,179,269,285,562],[1,5,
6,7,8,11,17,19,34,43,45,53,58,96,105,133,217,225,385,386,563],[1,5,6,8,11,19,
34,41,45,51,52,53,54,106,133,162,226,380,390,564],[1,5,6,7,8,9,16,19,35,44,47,
50,57,58,62,129,170,193,251,262,565],[1,5,6,8,9,19,35,39,41,44,48,50,51,64,
129,214,230,256,290,566],[1,5,6,7,8,9,18,19,35,36,44,50,62,83,96,129,204,222,
362,376,567],[1,5,6,8,9,19,35,39,44,48,50,52,54,104,129,210,215,372,374,568],[
1,5,6,7,8,16,19,47,58,62,83,105,170,204,217,569],[1,5,6,8,19,41,51,52,54,64,
104,214,215,226,570],[1,5,6,8,19,41,51,52,54,64,83,204,214,226,571],[1,5,6,8,
19,39,48,52,54,64,105,210,214,217,572],[1,5,6,8,9,10,18,29,41,42,44,51,71,72,
83,136,177,213,359,376,573],[1,5,6,8,9,11,29,34,35,55,57,83,87,165,166,177,
574],[1,5,6,7,8,11,18,19,34,36,45,53,62,96,104,133,215,222,382,383,575],[1,5,
6,7,8,9,12,29,36,38,43,47,50,57,67,91,139,166,194,251,375,576],[1,5,6,8,11,12,
29,40,53,64,70,95,105,155,183,187,577],[1,4,5,6,7,8,18,19,20,21,27,28,29,36,
39,43,48,51,52,54,58,62,96,120,137,164,182,206,207,210,216,222,266,329,578],[
1,5,6,8,19,39,48,52,54,57,106,162,193,210,579],[1,4,5,6,7,8,19,20,21,27,28,29,
83,104,137,176,177,296,365,580],[1,5,6,8,11,19,34,39,45,48,52,53,54,83,133,
204,210,384,389,581],[1,5,6,7,8,16,19,47,58,62,104,105,170,215,217,582],[1,5,
6,8,10,11,29,45,46,68,74,104,106,175,176,179,583],[1,2,5,6,7,8,19,20,22,24,25,
29,57,64,135,193,214,318,345,584],[1,3,7,8,15,20,23,105,106,117,191,192,332,
371,585],[1,5,6,8,11,12,29,40,53,57,70,95,105,155,166,183,586],[1,2,5,6,7,8,9,
10,11,12,19,20,22,24,25,29,34,35,37,49,55,56,67,68,69,72,73,87,93,95,98,107,
135,165,173,180,184,190,219,253,265,335,347,587],[1,5,6,7,8,16,19,47,58,62,
104,106,162,170,215,588],[1,5,6,8,9,11,16,29,34,35,52,54,55,87,106,132,165,
175,369,380,589],[1,5,6,8,19,39,48,52,54,64,106,162,210,214,590],[1,7,8,9,10,
11,12,20,31,34,37,49,59,61,65,67,68,70,71,73,77,78,79,80,81,84,86,88,89,94,97,
101,190,205,239,250,254,264,272,279,293,313,320,330,339,366,591],[1,2,6,7,9,
10,11,12,24,32,42,44,56,59,61,63,69,73,74,76,77,79,80,82,84,86,87,88,90,91,93,
94,98,99,102,103,149,161,247,275,276,281,284,302,312,316,317,322,333,335,356,
592],[1,2,5,6,7,8,11,12,24,25,39,40,53,54,58,83,89,93,160,189,203,314,352,384,
389,593],[1,5,7,8,11,12,20,34,37,43,47,52,58,70,89,105,106,205,232,307,310,
332,380,385,594],[1,4,6,8,9,10,11,12,21,35,37,42,53,59,65,66,68,69,70,71,75,
76,77,78,79,82,84,87,88,90,91,92,94,97,100,101,102,171,212,234,260,281,286,
287,313,315,325,326,328,341,354,366,595],[1,4,5,6,7,8,9,12,21,28,36,40,44,54,
58,67,83,92,104,167,182,296,352,353,362,372,596],[1,6,7,9,10,11,12,27,31,42,
44,53,59,61,63,66,69,73,74,77,78,81,82,84,86,87,88,89,90,91,101,102,199,227,
242,250,260,267,274,279,281,299,302,304,321,322,597],[1,7,8,9,10,11,12,20,32,
34,35,49,59,61,63,66,67,68,70,71,73,76,77,80,81,82,86,88,90,94,100,102,190,
228,234,235,239,252,254,284,286,293,302,303,304,306,598],[1,4,5,7,9,10,11,12,
28,30,38,50,55,63,65,72,75,76,77,78,80,82,84,86,89,90,92,94,95,97,98,100,101,
102,103,107,150,195,241,244,278,297,300,312,315,325,326,327,340,348,368,599],[
1,7,9,10,11,12,15,61,63,65,66,73,79,80,81,82,84,86,88,89,90,94,97,98,99,100,
101,102,103,235,264,275,279,282,301,302,304,312,339,340,367,368,600],[1,7,8,9,
10,11,12,20,30,35,37,49,63,65,66,67,68,70,71,76,77,78,79,80,82,84,86,90,94,98,
99,103,184,228,233,249,254,275,282,286,298,300,303,312,313,320,601],[1,6,7,8,
9,12,20,35,36,37,41,43,67,96,98,105,106,184,208,307,308,371,377,378,602],[1,6,
7,8,11,12,17,20,34,37,39,41,70,89,96,105,106,181,205,308,309,332,386,390,
603],[1,6,7,9,10,11,12,27,33,40,42,44,59,63,65,66,69,74,76,78,80,82,84,87,89,
91,94,97,98,99,102,103,158,220,247,267,274,277,281,282,289,291,312,334,340,
341,604],[1,5,6,7,10,12,22,36,38,46,47,51,57,62,64,80,107,185,224,268,269,324,
363,375,605],[1,5,6,8,9,10,11,12,19,33,37,38,40,55,59,65,67,68,69,70,71,72,74,
76,78,79,84,87,91,94,95,97,99,100,101,103,107,138,237,253,271,277,278,289,297,
298,313,319,334,342,366,370,606],[1,4,6,8,9,10,11,12,21,30,33,35,37,40,44,65,
67,69,70,71,75,76,78,82,84,87,90,91,92,97,99,100,103,145,150,167,212,233,247,
249,255,277,298,315,325,328,334,370,607],[1,4,6,8,9,12,18,21,39,40,44,67,83,
92,104,120,167,296,311,314,374,376,608],[1,5,6,7,9,11,22,36,45,47,50,51,55,57,
62,64,86,196,224,251,256,273,285,324,609],[1,5,6,7,8,15,20,22,27,29,36,39,41,
43,47,48,51,52,54,58,62,96,139,164,198,202,208,224,232,266,292,323,329,338,
379,610],[1,2,6,7,11,12,18,24,36,40,53,89,93,104,126,168,203,311,353,382,383,
611],[1,2,6,7,9,10,11,12,24,33,40,53,56,59,61,65,69,73,74,76,78,79,80,81,84,
86,87,88,89,90,91,93,98,100,101,103,143,203,260,276,277,279,291,299,316,319,
331,335,339,356,368,612],[1,2,5,8,9,10,11,12,25,31,33,34,37,38,45,55,56,59,65,
67,68,70,78,79,81,88,93,95,97,100,101,103,107,143,151,169,180,243,265,272,278,
330,331,342,356,366,370,373,613],[1,4,6,8,9,10,11,12,21,34,40,44,49,59,65,66,
67,69,70,71,74,75,76,77,78,79,82,84,87,88,90,92,94,97,100,101,102,167,223,252,
274,287,289,303,315,319,320,322,325,326,328,330,614],[1,2,5,8,9,10,17,25,35,
49,52,56,72,105,106,121,173,351,357,358,369,387,615],[1,2,5,8,9,10,11,12,25,
30,32,35,46,49,50,55,56,61,66,67,68,71,72,76,77,82,84,90,93,94,99,102,107,142,
149,173,221,238,249,257,265,276,286,303,306,333,344,348,616],[1,5,7,8,10,12,
16,22,38,46,48,52,57,58,64,80,107,185,200,270,280,283,324,388,617],[1,2,6,7,9,
10,11,12,24,30,42,44,56,61,63,65,66,69,73,74,76,77,78,80,81,84,86,87,90,91,93,
94,98,99,100,102,142,161,235,242,255,274,276,282,300,304,316,331,333,335,341,
618],[1,5,6,8,9,10,11,12,19,30,35,44,50,55,66,67,68,69,70,71,72,74,76,77,78,
82,84,87,88,90,91,95,99,100,102,103,107,129,233,234,237,241,247,249,253,255,
274,286,305,322,344,348,619],[1,4,5,7,9,10,11,12,28,33,38,50,55,59,63,65,66,
72,75,76,78,79,80,82,84,86,88,89,90,92,95,97,98,99,100,107,145,195,244,271,
275,282,287,291,305,315,325,327,342,344,367,620],[1,6,7,9,10,11,12,27,30,40,
44,53,63,69,74,76,77,78,79,82,86,87,88,89,90,91,97,98,99,100,101,103,158,227,
247,255,260,267,275,300,319,322,334,354,367,368,621],[1,6,7,8,9,12,27,36,39,
40,43,44,83,91,96,98,104,158,164,314,353,362,364,374,622],[1,5,7,8,9,11,16,22,
45,48,50,52,55,57,58,64,86,196,200,259,262,288,290,324,623],[1,6,7,9,10,11,12,
27,32,40,42,53,59,61,63,65,66,69,73,74,76,77,79,80,81,87,89,91,94,97,100,101,
199,220,235,242,264,267,284,289,299,317,319,339,341,354,624],[1,3,5,6,9,10,11,
12,26,38,44,46,53,55,59,60,61,66,69,72,74,76,77,78,79,81,82,84,85,91,95,97,99,
100,101,102,103,154,163,238,245,246,247,248,263,271,274,278,294,299,337,354,
625],[1,5,6,8,9,10,11,12,19,32,42,46,49,55,59,61,65,66,67,68,69,70,71,72,74,
76,77,79,81,82,84,87,91,94,95,102,107,130,237,238,242,253,257,258,263,281,293,
303,306,317,320,341,626],[1,2,5,8,9,10,11,12,25,34,37,46,50,55,56,59,61,65,67,
68,71,76,77,78,79,81,84,88,90,93,94,95,99,100,102,103,107,180,221,239,241,252,
258,263,265,276,298,305,313,331,333,356,627],[1,3,5,6,10,12,16,26,38,46,51,57,
60,64,69,123,163,269,270,283,363,381,628],[1,5,7,9,10,11,12,22,33,38,45,46,55,
59,61,65,72,73,76,78,79,80,81,89,94,95,97,98,101,102,103,107,157,185,243,258,
263,264,278,291,297,339,340,342,347,350,629],[1,5,7,8,9,12,17,20,35,37,48,52,
58,67,98,105,106,152,184,309,310,369,371,387,630],[1,5,6,8,9,10,11,12,19,31,
34,45,53,55,59,61,67,68,69,70,71,72,74,77,78,79,81,87,88,90,91,95,97,100,101,
102,107,133,237,239,243,252,253,260,272,299,321,330,336,350,354,373,631],[1,3,
5,6,9,10,11,12,26,40,42,45,50,59,60,61,66,72,74,76,77,78,79,81,82,84,85,87,91,
95,97,99,100,101,102,103,107,153,229,241,242,243,245,246,248,281,294,319,334,
337,344,350,632],[1,5,7,8,9,10,22,43,46,47,48,50,57,58,63,64,72,178,198,251,
268,280,290,318,633],[1,2,5,8,9,10,11,12,25,35,38,45,49,55,56,59,61,65,67,68,
70,72,76,77,78,79,81,84,88,90,93,94,99,100,102,103,107,169,173,233,234,265,
271,276,293,297,320,331,333,336,350,356,634],[1,4,5,6,7,8,10,11,21,28,45,46,
48,51,57,73,75,96,156,206,218,259,269,280,285,635],[1,2,6,7,9,10,18,24,36,42,
44,56,63,83,126,160,161,359,361,362,376,636],[1,2,5,6,7,8,9,10,24,25,39,42,44,
54,56,58,63,104,161,168,189,349,360,372,374,637],[1,6,7,8,9,10,17,20,35,39,41,
49,63,71,96,105,106,181,228,332,343,357,377,387,638],[1,5,6,7,9,11,27,36,44,
47,53,54,62,83,86,87,104,202,227,362,365,372,382,384,639],[1,4,5,7,9,10,11,12,
28,31,45,46,55,59,61,63,65,66,72,73,75,77,78,79,80,82,86,88,89,92,94,95,100,
101,102,107,146,156,235,238,244,250,258,287,302,325,326,327,339,350,373,640],[
1,4,5,7,9,12,16,28,38,47,50,57,92,98,127,195,218,251,262,283,375,641],[1,4,5,
6,7,8,9,12,21,28,38,48,50,51,64,92,96,98,195,197,206,256,290,363,388,642],[1,
2,5,6,7,8,11,12,24,25,38,45,47,51,57,64,70,93,96,169,188,273,285,345,363,375,
643],[1,6,7,8,10,11,20,34,36,41,43,49,68,73,96,105,106,190,208,343,355,371,
385,390,644],[1,5,7,8,10,11,17,20,34,48,49,52,58,68,73,105,106,152,190,357,
358,371,380,386,645],[1,4,5,6,7,8,10,11,21,28,34,43,49,52,62,74,75,105,106,
207,223,295,355,358,380,385,646],[1,5,6,7,9,10,16,22,46,50,51,54,57,62,63,64,
72,178,201,256,262,269,270,318,647],[1,5,6,7,10,11,18,27,42,51,53,54,62,73,74,
83,104,199,216,359,360,364,383,384,648],[1,6,7,8,10,11,27,36,39,42,43,53,73,
74,83,96,104,164,199,349,361,364,382,389,649],[1,5,7,9,10,11,12,22,31,38,45,
50,55,59,72,73,77,78,81,84,86,88,89,90,95,97,98,99,100,101,103,107,157,196,
241,243,250,271,278,279,305,336,347,367,368,373,650],[1,4,5,7,9,10,11,12,28,
32,45,46,55,59,63,66,72,73,75,76,77,79,80,81,84,86,88,89,90,92,94,95,97,101,
102,107,140,156,243,244,257,263,264,279,284,287,304,315,326,327,336,651],[1,5,
7,8,9,10,20,35,43,47,49,52,58,63,71,105,106,228,232,332,355,358,369,378,652],[
1,2,5,8,11,12,17,25,34,37,52,93,95,105,106,121,180,309,310,351,380,386,653],[
1,2,5,6,7,8,9,10,24,25,35,41,43,49,56,62,72,105,106,173,186,343,351,355,377,
378,654],[1,3,5,6,7,8,9,11,23,26,36,39,44,53,55,58,83,85,104,154,211,346,362,
374,382,389,655],[1,3,5,6,9,11,18,26,44,53,54,55,83,85,104,125,154,346,372,
376,383,384,656],[1,3,5,6,9,11,16,26,45,50,51,57,64,85,87,123,229,256,262,285,
288,381,657],[1,3,5,6,7,8,9,11,23,26,45,47,48,50,57,64,85,87,96,229,231,251,
259,273,290,381,658],[1,5,7,9,10,11,12,22,30,45,46,50,55,61,63,66,72,73,76,77,
78,79,81,82,86,88,90,95,98,99,102,107,178,196,238,263,275,300,302,304,305,336,
344,347,348,350,659],[1,4,6,8,10,11,17,21,34,41,49,74,75,105,106,119,223,295,
343,357,386,390,660],[1,5,6,7,9,12,18,27,40,44,51,54,62,83,91,98,104,158,216,
311,352,364,372,376,661],[1,3,5,6,9,10,11,12,26,32,33,38,40,42,46,59,60,61,65,
66,69,72,74,76,79,84,85,91,94,95,97,103,107,147,148,153,163,245,246,248,257,
258,277,289,297,317,341,342,662],[1,3,7,8,9,11,17,23,34,35,43,85,86,105,124,
159,191,378,385,386,387,663],[1,2,5,8,9,10,16,25,46,48,50,56,57,64,71,122,221,
262,270,280,290,345,664],[1,7,8,9,10,11,12,20,33,34,35,37,59,65,67,68,70,71,
76,78,80,86,88,89,90,97,98,99,100,101,102,103,184,205,233,234,252,254,291,298,
330,340,366,367,368,370,665],[1,2,5,6,7,8,9,10,24,25,46,47,50,51,56,57,64,71,
96,188,221,251,256,268,269,345,666],[1,3,5,6,7,8,10,12,23,26,38,46,47,48,57,
60,64,69,96,163,231,268,280,375,381,388,667],[1,4,6,8,10,11,18,21,39,42,53,68,
75,83,104,120,171,296,349,359,383,389,668],[1,4,6,8,9,12,17,21,35,37,41,91,92,
105,106,119,212,295,308,309,377,387,669],[1,4,6,8,9,10,11,12,21,31,32,34,42,
49,53,59,61,66,68,69,70,71,74,75,77,79,81,87,88,92,94,101,102,140,146,171,223,
239,242,272,287,293,299,306,317,321,326,328,670],[1,3,7,8,9,10,11,12,23,30,34,
35,60,61,63,67,68,70,71,73,76,77,78,81,82,84,85,86,88,89,97,98,99,100,101,102,
144,159,234,236,239,240,248,249,279,294,300,302,330,337,367,671],[1,2,6,7,9,
10,11,12,24,31,40,53,56,59,65,69,73,74,77,78,79,80,81,86,87,88,89,91,93,94,97,
98,99,100,102,103,151,203,250,264,289,316,321,331,333,334,335,340,354,356,367,
672],[1,3,7,8,10,12,17,23,37,43,49,60,80,106,124,172,192,307,309,355,357,
673],[1,3,7,8,9,10,11,12,23,31,34,35,59,60,63,66,67,68,70,71,73,77,78,79,81,
82,85,86,89,90,98,99,100,101,102,103,141,159,233,236,240,245,250,252,272,275,
286,294,304,337,368,674],[1,3,5,6,7,8,10,12,23,26,36,39,40,42,58,60,83,104,
107,153,211,314,346,349,353,361,675],[1,4,5,7,10,11,16,28,45,46,47,64,73,75,
127,156,197,268,270,273,288,676],[1,5,7,9,10,11,12,22,32,38,46,50,55,59,61,63,
65,66,72,73,76,77,80,82,84,94,95,98,99,100,103,107,178,185,235,238,241,257,
258,271,282,284,297,312,344,347,677],[1,4,5,6,7,8,10,11,21,28,36,42,53,54,58,
68,75,83,104,171,182,296,360,361,382,384,678],[1,3,7,8,9,10,11,12,23,33,37,49,
59,60,61,63,66,67,68,70,71,73,76,78,79,80,81,82,84,85,89,94,97,98,100,103,147,
172,235,236,240,245,248,264,291,293,303,312,313,337,370,679],[1,3,5,6,9,10,11,
12,26,30,31,44,45,50,53,55,60,72,74,77,78,81,82,85,87,88,90,91,95,99,100,101,
102,141,144,154,229,246,255,260,294,305,321,322,336,337,348,373,680],[1,2,5,6,
7,8,11,12,24,25,34,37,41,43,62,93,95,105,106,180,186,307,308,351,385,390,
681],[1,3,5,6,7,8,10,12,23,26,37,41,49,52,60,62,80,105,172,191,209,308,310,
343,358,682],[1,3,5,6,10,12,18,26,40,42,54,60,83,104,107,125,153,311,346,352,
359,360,683],[1,6,7,8,9,11,18,27,39,41,44,53,83,86,87,96,104,174,227,365,374,
376,383,389,684],[1,5,7,8,11,12,22,38,43,45,47,48,57,58,64,89,95,157,198,259,
273,318,375,388,685],[1,5,6,7,11,12,16,22,38,45,51,54,57,62,64,89,95,157,201,
283,285,288,318,363,686],[1,4,5,6,7,8,9,12,21,28,35,37,43,52,62,91,92,105,106,
207,212,295,307,310,369,378,687],[1,5,6,7,10,12,27,36,40,42,47,54,62,69,80,83,
104,202,220,352,353,360,361,365,688],[1,6,7,8,10,12,18,27,39,40,41,42,69,80,
83,96,104,174,220,311,314,349,359,365,689],[1,3,5,6,7,8,9,11,23,26,34,35,41,
52,62,85,86,106,159,192,209,369,377,380,390,690],[1,2,5,8,11,12,16,25,38,45,
48,57,64,70,93,122,169,259,283,288,345,388,691],[1,3,7,8,9,10,11,12,23,32,37,
49,59,60,61,63,65,66,67,68,70,71,73,76,77,79,80,84,85,89,97,98,99,101,102,103,
148,172,236,240,245,248,282,284,294,298,306,320,339,340,366,692],[1,4,9,12,92,
108,392,393,396,693],[1,4,10,11,75,108,393,394,397,694],[1,2,3,4,14,108,391,
393,395,695],[1,3,10,12,60,108,391,396,397,696],[1,2,11,12,93,108,394,395,396,
697],[1,3,9,11,85,108,391,392,394,698],[1,2,9,10,56,108,392,395,397,699],[1,8,
9,13,17,35,105,115,387,400,700],[1,4,6,8,13,18,21,39,112,120,399,701],[1,3,7,
8,13,17,23,43,110,124,400,702],[1,2,5,8,13,16,25,48,113,122,398,703],[1,2,5,8,
13,17,25,52,113,121,400,704],[1,8,10,13,17,49,106,109,357,400,705],[1,3,5,6,
13,18,26,54,110,125,399,706],[1,5,10,13,16,46,64,109,270,398,707],[1,5,12,13,
16,38,57,111,283,398,708],[1,4,5,7,13,16,28,47,112,127,398,709],[1,8,12,13,17,
37,106,111,309,400,710],[1,4,6,8,13,17,21,41,112,119,400,711],[1,6,9,13,18,44,
83,115,376,399,712],[1,8,11,13,17,34,105,114,386,400,713],[1,3,5,6,13,16,26,
51,110,123,398,714],[1,6,11,13,18,53,104,114,383,399,715],[1,5,9,13,16,50,57,
115,262,398,716],[1,5,11,13,16,45,64,114,288,398,717],[1,2,6,7,13,18,24,36,
113,126,399,718],[1,6,10,13,18,42,83,109,359,399,719],[1,6,12,13,18,40,104,
111,311,399,720],[1,2,11,12,13,33,93,101,113,143,402,721],[1,4,9,12,13,33,92,
99,112,145,402,722],[1,3,9,11,13,31,85,90,110,141,404,723],[1,3,7,8,13,15,20,
23,110,117,401,724],[1,3,9,11,13,30,85,88,110,144,405,725],[1,2,6,7,13,15,24,
27,113,116,401,726],[1,4,9,12,13,30,92,103,112,150,405,727],[1,2,9,10,13,32,
56,82,113,149,403,728],[1,2,9,10,13,30,56,66,113,142,405,729],[1,4,10,11,13,
32,75,81,112,140,403,730],[1,4,5,7,13,15,22,28,112,118,401,731],[1,3,10,12,13,
32,60,65,110,148,403,732],[1,3,10,12,13,33,60,94,110,147,402,733],[1,2,11,12,
13,31,93,97,113,151,404,734],[1,4,10,11,13,31,61,75,112,146,404,735],[1,2,3,4,
9,10,11,12,13,14,56,60,75,85,92,93,109,110,111,112,113,114,115,261,406,407,
408,409,410,411,412,736],[1,3,5,6,7,8,16,18,19,22,23,26,27,29,36,39,41,47,48,
51,52,54,58,62,96,123,125,132,134,136,170,174,200,201,202,209,210,211,216,222,
224,226,230,231,292,323,329,338,414,431,453,454,459,508,534,737],[1,2,5,6,7,8,
16,17,19,20,22,24,25,29,39,41,43,47,48,51,52,54,58,62,96,121,122,131,132,135,
152,170,181,186,188,189,198,200,201,210,225,226,230,232,266,292,323,329,414,
435,454,456,520,523,553,738],[1,4,5,6,7,8,17,18,19,20,21,27,28,29,36,39,41,43,
48,51,52,54,58,62,96,119,120,131,136,137,152,164,174,181,182,206,207,208,210,
216,222,225,226,230,266,292,329,338,414,421,459,472,540,553,578,739],[1,4,5,6,
7,8,15,16,17,18,19,20,21,22,27,28,29,36,39,41,43,47,48,51,52,54,58,62,96,118,
119,120,127,132,137,139,152,164,170,182,198,200,201,202,206,207,208,210,216,
222,224,225,226,232,266,292,323,329,338,379,415,430,453,454,456,504,540,578,
610,740],[1,2,5,6,7,8,15,16,17,18,19,20,22,24,25,27,29,36,39,41,43,47,48,51,
52,54,58,62,96,116,121,122,126,135,136,139,164,170,174,181,186,188,189,198,
201,202,208,216,222,224,225,226,230,232,266,292,323,329,338,379,415,428,453,
459,472,520,523,559,610,741],[1,3,5,6,7,8,15,16,17,18,19,20,22,23,26,27,29,36,
39,41,43,47,48,51,52,54,58,62,96,117,123,124,125,131,134,139,152,164,170,174,
181,198,200,202,208,209,210,211,222,224,225,230,231,232,266,292,323,329,338,
379,415,419,456,472,508,534,538,553,610,742],[1,4,5,6,7,8,9,12,17,18,19,20,21,
27,28,29,35,37,38,39,40,41,44,48,50,51,64,67,91,92,96,98,119,120,129,131,136,
137,138,158,167,174,181,184,187,194,195,197,206,212,214,230,256,290,363,388,
421,424,426,473,474,498,566,642,743],[1,3,5,6,7,8,10,12,17,19,22,23,26,27,29,
36,37,38,39,40,42,43,46,47,48,49,58,60,69,80,96,106,107,124,130,131,134,138,
139,153,162,163,164,172,175,185,192,198,211,219,220,225,231,307,309,355,357,
419,422,436,451,462,543,548,673,744],[1,2,5,6,7,8,9,10,18,19,20,22,24,25,29,
35,36,41,42,43,44,46,47,49,50,51,56,62,63,71,72,83,96,126,129,130,135,136,139,
160,161,173,177,178,186,188,204,208,213,221,222,224,228,359,361,362,376,428,
433,434,478,539,567,573,636,745],[1,4,5,6,7,8,10,11,17,18,19,20,21,27,28,29,
34,39,41,42,45,46,48,49,51,53,57,68,73,74,75,96,119,120,130,131,133,136,137,
156,166,171,174,179,181,190,193,199,206,218,223,230,259,269,280,285,420,421,
427,465,477,546,562,635,746],[1,4,5,6,7,8,9,12,16,19,20,21,27,28,29,35,36,37,
38,40,43,44,47,50,52,54,57,58,62,67,91,92,98,127,129,132,137,138,139,158,166,
167,170,182,184,193,194,195,202,207,212,218,232,251,262,283,375,426,427,430,
484,488,565,576,641,747],[1,2,5,6,7,8,11,12,18,19,20,22,24,25,29,34,36,37,38,
40,41,43,45,47,51,53,62,70,89,93,95,96,104,126,133,135,136,138,139,157,168,
169,176,180,183,186,188,203,205,208,215,222,224,311,353,382,383,423,428,429,
495,510,526,575,611,748],[1,3,5,6,7,8,10,12,16,18,19,22,23,26,27,29,37,38,40,
41,42,46,49,51,52,54,60,62,69,80,105,107,123,125,130,132,134,136,138,153,155,
163,172,185,191,201,209,216,217,219,220,226,308,310,343,358,422,425,431,466,
489,505,522,682,749],[1,3,5,6,7,8,9,11,16,18,19,22,23,26,27,29,34,35,41,44,45,
50,51,52,53,54,55,62,85,86,87,106,123,125,129,132,133,134,136,154,159,162,165,
175,192,196,201,209,216,226,227,229,369,377,380,390,431,432,436,450,535,564,
589,690,750],[1,2,3,4,5,6,7,8,14,15,19,20,21,22,23,24,25,26,27,28,29,57,64,
116,117,118,128,134,135,137,166,187,193,197,214,218,318,324,345,381,413,424,
427,447,486,516,518,524,584,751],[1,3,5,6,7,8,9,11,17,19,22,23,26,27,29,34,35,
36,39,43,44,45,47,48,50,53,55,58,85,86,87,96,105,124,129,131,133,134,139,154,
155,159,164,165,191,196,198,211,217,225,227,229,231,378,385,386,387,419,425,
432,490,507,533,563,663,752],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,19,20,21,22,23,
24,25,26,27,28,29,34,35,37,38,40,42,44,45,46,49,50,53,55,56,60,63,67,68,69,70,
71,72,73,74,75,80,85,86,87,89,91,92,93,95,98,107,116,117,118,128,129,130,133,
134,135,137,138,153,154,156,157,158,159,161,163,165,167,169,171,172,173,178,
179,180,183,184,185,190,194,195,196,199,203,205,212,213,219,220,221,223,227,
228,229,236,237,240,244,246,253,254,261,265,267,301,316,327,328,335,347,413,
420,422,423,426,432,434,443,449,452,461,469,475,512,513,519,530,544,587,753],[
1,2,5,6,7,8,11,12,16,17,19,20,22,24,25,29,34,37,38,39,40,45,48,52,53,54,58,70,
83,89,93,95,121,122,131,132,133,135,138,152,157,160,169,177,180,183,189,200,
203,204,205,210,314,352,384,389,423,433,435,487,509,511,581,593,754],[1,2,3,4,
5,6,7,8,14,15,19,20,21,22,23,24,25,26,27,28,29,83,104,116,117,118,128,134,135,
137,160,168,176,177,204,215,296,346,364,365,413,429,433,442,457,458,483,558,
580,755],[1,2,5,6,7,8,9,10,16,17,19,20,22,24,25,29,35,39,42,44,46,48,49,50,52,
54,56,58,63,71,72,104,121,122,129,130,131,132,135,152,161,168,173,176,178,189,
200,210,213,215,221,228,349,360,372,374,429,434,435,479,497,499,568,637,756],[
1,2,3,4,5,6,7,8,14,15,19,20,21,22,23,24,25,26,27,28,29,105,106,116,117,118,
128,134,135,137,155,162,175,191,192,217,295,332,351,371,413,425,436,491,493,
501,525,527,585,757],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,36,39,41,43,47,48,51,52,54,58,62,96,116,117,118,119,120,121,122,123,
124,125,126,127,128,131,132,134,135,136,137,139,152,164,170,174,181,182,186,
188,189,198,200,201,202,206,207,208,209,210,211,216,222,224,225,226,230,231,
232,266,292,323,329,338,379,413,416,417,418,419,421,428,430,431,435,504,508,
520,523,534,538,540,559,578,758],[1,4,5,6,7,8,10,11,16,19,20,21,27,28,29,34,
36,42,43,45,46,47,49,52,53,54,58,62,64,68,73,74,75,127,130,132,133,137,139,
156,170,171,179,182,187,190,197,199,202,207,214,223,232,268,270,273,288,420,
424,430,480,481,506,549,676,759],[1,2,6,7,9,10,11,12,15,24,27,30,31,32,33,40,
42,44,53,56,59,61,63,65,66,69,73,74,76,77,78,79,80,81,82,84,86,87,88,89,90,91,
93,94,97,98,99,100,101,102,103,116,142,143,149,151,158,161,199,203,220,227,
235,242,247,250,255,260,264,267,274,275,276,277,279,281,282,284,289,291,299,
300,301,302,304,312,316,317,319,321,322,331,333,334,335,339,340,341,354,356,
367,368,438,513,592,597,600,604,612,618,621,624,672,760],[1,3,7,8,9,10,11,12,
15,20,23,30,31,32,33,34,35,37,49,59,60,61,63,65,66,67,68,70,71,73,76,77,78,79,
80,81,82,84,85,86,88,89,90,94,97,98,99,100,101,102,103,117,141,144,147,148,
159,172,184,190,205,228,233,234,235,236,239,240,245,248,249,250,252,254,264,
272,275,279,282,284,286,291,293,294,298,300,301,302,303,304,306,312,313,320,
330,337,339,340,366,367,368,370,438,530,591,598,600,601,665,671,674,679,692,
761],[1,3,7,8,15,20,23,105,106,117,191,192,332,371,585,762],[1,2,6,7,15,24,27,
83,104,116,160,168,364,365,483,763],[1,4,5,7,15,22,28,57,64,118,197,218,318,
324,516,764],[1,4,5,7,9,10,11,12,15,22,28,30,31,32,33,38,45,46,50,55,59,61,63,
65,66,72,73,75,76,77,78,79,80,81,82,84,86,88,89,90,92,94,95,97,98,99,100,101,
102,103,107,118,140,145,146,150,156,157,178,185,195,196,235,238,241,243,244,
250,257,258,263,264,271,275,278,279,282,284,287,291,297,300,301,302,304,305,
312,315,325,326,327,336,339,340,342,344,347,348,350,367,368,373,438,469,599,
600,620,629,640,650,651,659,677,765],[1,5,6,7,8,9,16,17,19,20,22,35,39,43,44,
47,48,50,52,54,57,58,62,96,104,105,129,152,170,193,198,200,210,215,217,225,
232,251,262,266,323,372,374,378,387,445,456,490,492,565,568,582,766],[1,5,6,8,
10,11,12,16,29,37,40,45,46,49,52,53,54,59,61,64,65,68,69,70,74,81,83,94,95,97,
101,105,107,132,155,177,179,183,187,219,243,258,270,288,289,293,299,310,352,
358,366,384,446,466,467,481,482,509,577,767],[1,5,6,8,10,11,12,18,29,37,40,41,
45,46,49,51,53,57,59,61,65,68,69,70,74,81,94,95,97,101,104,105,107,136,155,
166,176,179,183,219,243,258,269,285,289,293,299,308,311,343,366,383,446,455,
471,495,505,562,586,768],[1,5,6,8,9,10,11,12,18,29,31,34,35,40,41,45,46,51,53,
55,57,68,70,74,76,79,81,87,88,95,100,101,102,104,106,136,165,166,175,176,179,
183,234,263,269,272,285,311,319,321,373,377,383,390,463,495,514,535,551,562,
583,769],[1,5,6,8,12,19,37,38,39,40,41,48,51,52,54,64,83,105,138,204,210,214,
217,226,230,308,310,314,352,363,388,414,487,489,498,557,571,572,770],[1,2,5,6,
7,8,11,12,17,19,20,22,24,25,29,34,37,38,39,40,41,43,45,47,51,52,53,54,58,62,
70,89,93,95,96,105,106,121,133,135,138,157,162,169,180,181,183,186,188,189,
203,205,217,225,226,232,307,308,309,310,323,329,332,351,380,385,386,390,423,
489,523,527,543,563,564,594,603,653,681,771],[1,3,5,6,7,8,10,12,16,19,22,23,
26,27,29,36,37,38,39,40,41,42,46,47,48,49,51,52,57,58,60,62,64,69,80,96,107,
123,130,134,138,153,163,170,172,185,193,200,209,211,214,219,220,224,230,231,
268,269,270,280,283,324,329,338,363,375,381,388,422,477,480,484,486,498,534,
605,617,628,667,772],[1,5,6,8,9,10,11,12,18,29,32,37,41,42,44,45,46,49,51,57,
61,66,68,69,71,72,74,78,79,83,84,94,102,105,107,136,155,166,177,179,213,219,
257,269,274,285,306,308,313,317,343,350,359,376,482,505,529,536,541,562,573,
773],[1,5,6,8,9,10,11,12,16,29,32,37,42,44,45,46,49,52,54,61,64,66,68,69,71,
72,74,78,79,84,94,102,104,105,107,132,155,176,179,187,213,219,257,270,274,288,
306,310,313,317,350,358,360,372,466,470,471,481,497,517,529,774],[1,2,5,6,7,8,
9,10,16,19,20,22,24,25,29,35,39,41,42,43,44,46,47,48,49,50,51,54,56,57,58,62,
63,64,71,72,96,122,129,130,135,161,170,173,178,186,188,189,193,198,201,213,
214,221,228,230,251,256,262,266,268,269,270,280,290,292,318,345,434,477,480,
520,565,566,584,633,647,664,666,775],[1,5,6,7,8,9,10,11,12,29,32,36,37,42,43,
44,45,46,47,49,61,64,66,68,69,71,72,74,78,79,83,84,94,102,106,107,139,175,177,
179,187,213,219,257,268,273,274,306,307,313,317,350,355,361,362,460,462,467,
485,506,529,539,776],[1,3,5,6,7,8,9,10,11,12,19,22,23,26,27,29,40,42,44,53,55,
57,60,64,70,71,72,73,74,85,91,95,98,105,107,134,153,154,155,158,166,183,187,
191,199,213,217,237,240,246,318,347,381,425,449,517,518,541,577,586,777],[1,5,
6,8,9,10,11,12,18,29,33,37,38,40,41,49,50,51,53,64,65,67,69,70,77,79,84,91,95,
97,100,103,104,105,107,136,155,176,183,187,194,219,241,256,277,308,311,320,
342,343,354,363,370,383,470,474,476,495,503,505,577,778],[1,5,6,8,9,10,11,12,
17,29,33,37,38,39,40,48,49,50,53,64,65,67,69,70,77,79,83,84,91,95,97,100,103,
106,107,131,175,177,183,187,194,219,241,277,290,309,314,320,342,354,357,370,
388,389,451,467,473,503,511,515,545,779],[1,3,5,6,7,8,9,10,11,12,17,19,22,23,
26,27,29,36,39,40,42,43,44,47,48,53,55,58,60,70,71,72,73,74,83,85,91,95,96,98,
104,107,124,131,134,139,153,154,158,164,176,177,183,198,199,211,213,225,231,
237,240,246,314,346,347,349,353,361,362,364,374,382,389,419,449,457,499,510,
511,539,622,649,655,675,780],[1,3,5,6,7,8,10,12,19,22,23,26,27,29,37,38,40,42,
46,49,57,60,64,69,80,83,104,107,130,134,138,153,163,166,172,176,177,185,187,
219,220,318,346,364,381,422,455,457,467,470,518,536,781],[1,3,5,6,7,8,9,10,11,
12,19,22,23,26,27,29,32,33,37,38,40,42,44,45,46,49,50,53,55,59,60,61,63,65,66,
67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,84,85,87,89,91,94,95,97,98,99,
100,101,102,103,107,130,134,138,147,148,153,154,157,158,163,172,178,179,183,
185,194,199,213,219,220,229,235,236,237,238,240,241,242,243,245,246,247,248,
253,257,258,263,264,267,271,274,277,278,281,282,284,289,291,293,294,297,298,
299,303,306,312,313,317,319,320,334,337,339,340,341,342,344,347,350,354,366,
370,422,446,449,461,496,503,529,604,606,624,625,626,629,632,662,677,679,692,
782],[1,5,6,7,8,9,11,12,29,34,35,36,38,40,43,47,50,53,55,57,67,70,78,87,88,90,
91,95,97,99,101,103,104,105,139,155,165,166,176,183,194,233,251,260,278,305,
330,334,353,375,378,382,385,476,507,510,551,552,576,586,783],[1,5,6,8,9,10,11,
12,16,29,33,37,38,40,49,50,52,53,54,57,65,67,69,70,77,79,83,84,91,95,97,100,
103,105,107,132,155,166,177,183,194,219,241,262,277,283,310,320,342,352,354,
358,370,384,466,488,503,509,536,561,586,784],[1,3,5,6,7,8,9,10,11,12,19,22,23,
26,27,29,30,31,34,35,38,40,42,44,45,46,50,53,55,59,60,61,63,66,67,68,69,70,71,
72,73,74,76,77,78,79,81,82,84,85,86,87,88,89,90,91,95,97,98,99,100,101,102,
103,107,129,133,134,141,144,153,154,157,158,159,163,165,178,179,183,194,196,
199,213,227,229,233,234,236,237,238,239,240,241,242,243,245,246,247,248,249,
250,252,253,255,260,263,267,271,272,274,275,278,279,281,286,294,299,300,302,
304,305,319,321,322,330,334,336,337,344,347,348,350,354,367,368,373,432,449,
461,463,528,532,552,597,619,621,625,631,632,650,659,671,674,680,785],[1,3,5,6,
7,8,9,10,11,12,17,19,22,23,26,27,29,36,38,39,43,45,46,47,48,50,57,58,60,63,64,
67,68,69,72,74,85,87,89,91,95,96,124,131,134,139,157,163,164,166,178,179,187,
194,198,211,225,229,231,236,246,251,253,259,267,268,273,280,290,318,375,381,
388,419,461,465,473,506,518,576,633,658,667,685,786],[1,3,5,6,7,8,9,10,11,12,
16,18,19,22,23,26,27,29,38,41,45,46,50,51,52,54,57,60,62,63,64,67,68,69,72,74,
85,87,89,91,95,123,125,132,134,136,157,163,166,178,179,187,194,201,209,216,
226,229,236,246,253,256,262,267,269,270,283,285,288,318,363,381,431,461,474,
481,488,518,562,628,647,657,686,787],[1,5,6,8,9,11,12,17,29,34,35,38,39,40,48,
50,53,55,64,67,70,78,83,87,88,90,91,95,97,99,101,103,105,131,155,165,177,183,
187,194,233,260,278,290,305,314,330,334,386,387,388,389,473,511,533,550,552,
561,577,788],[1,4,5,6,7,8,10,11,17,19,20,21,27,28,29,34,36,41,42,43,45,46,48,
49,51,52,53,54,58,62,68,73,74,75,96,105,106,119,130,133,137,152,156,162,171,
179,182,190,199,206,207,208,217,223,225,226,292,295,338,343,355,357,358,371,
380,385,386,390,420,491,522,540,548,563,564,644,645,646,660,789],[1,5,6,7,8,
10,11,12,29,36,37,40,43,45,46,47,49,53,59,61,64,65,68,69,70,74,81,94,95,97,
101,104,106,107,139,175,176,179,183,187,219,243,258,268,273,289,293,299,307,
353,355,366,382,446,462,470,506,510,515,583,790],[1,2,5,6,7,8,9,10,11,12,16,
17,19,20,22,24,25,29,38,39,45,46,48,50,52,54,55,56,57,58,64,67,68,70,71,74,80,
86,91,93,107,121,122,131,132,135,152,166,169,179,185,187,189,194,196,200,210,
221,237,254,259,262,265,270,280,283,288,290,316,324,345,388,435,465,473,475,
481,488,524,617,623,664,691,791],[1,2,5,6,7,8,9,10,11,12,18,19,20,22,24,25,29,
36,38,41,43,45,46,47,50,51,55,56,57,62,64,67,68,70,71,74,80,86,91,93,96,107,
126,135,136,139,166,169,179,185,186,187,188,194,196,208,221,222,224,237,251,
254,256,265,268,269,273,285,316,324,345,363,375,428,474,475,506,524,562,576,
605,609,643,666,792],[1,2,5,6,7,8,9,10,11,12,19,20,22,24,25,29,38,45,46,50,55,
56,67,68,70,71,74,80,83,86,91,93,105,106,107,135,155,160,169,175,177,179,185,
194,196,204,221,237,254,265,316,351,371,433,475,482,485,525,545,561,793],[1,5,
6,7,8,12,17,18,19,20,27,36,37,38,39,40,41,43,48,51,58,62,64,96,104,106,138,
162,164,174,181,208,214,215,222,225,230,266,307,309,311,338,353,363,388,472,
498,526,531,543,547,555,794],[1,5,6,8,9,10,11,12,17,29,31,34,35,39,40,45,46,
48,53,55,57,68,70,74,76,79,81,83,87,88,95,100,101,102,105,131,155,165,166,177,
179,183,234,259,263,272,280,314,319,321,373,386,387,389,463,465,482,511,533,
574,586,795],[1,4,5,6,7,8,9,10,11,12,17,18,19,20,21,27,28,29,34,35,37,39,41,
48,49,51,55,63,69,70,71,74,75,87,89,91,92,96,105,106,107,119,120,131,136,137,
155,165,174,175,181,205,206,212,219,223,228,230,237,244,267,295,308,309,328,
332,343,357,377,386,387,390,421,451,501,505,512,533,535,603,638,660,669,796],[
1,2,5,6,7,8,9,10,17,19,20,22,24,25,29,35,39,41,42,43,44,46,47,49,50,51,52,54,
56,58,62,63,71,72,96,105,106,121,129,130,135,161,162,173,178,181,186,188,189,
213,217,221,225,226,228,232,323,329,332,343,351,355,357,358,369,377,378,387,
434,450,490,522,523,527,548,615,638,652,654,797],[1,5,6,8,9,10,11,12,16,29,31,
34,35,40,45,46,52,53,54,55,64,68,70,74,76,79,81,83,87,88,95,100,101,102,106,
132,165,175,177,179,183,187,234,263,270,272,288,319,321,352,369,373,380,384,
463,481,485,509,515,550,589,798],[1,5,6,8,9,11,12,18,29,34,35,38,40,41,50,51,
53,55,64,67,70,78,87,88,90,91,95,97,99,101,103,104,106,136,165,175,176,183,
187,194,233,256,260,278,305,311,330,334,363,377,383,390,448,474,495,515,535,
552,560,799],[1,5,6,8,9,11,12,16,29,34,35,38,40,50,52,53,54,55,57,67,70,78,83,
87,88,90,91,95,97,99,101,103,106,132,165,166,175,177,183,194,233,260,262,278,
283,305,330,334,352,369,380,384,488,509,514,545,552,574,589,800],[1,5,6,7,8,
12,16,18,19,22,27,36,37,38,40,41,47,51,52,54,57,58,62,96,104,105,138,170,193,
201,202,215,216,217,222,224,226,283,308,310,311,323,338,353,375,444,453,464,
484,489,526,582,801],[1,3,5,6,7,8,9,10,11,12,16,18,19,22,23,26,27,29,40,41,42,
44,51,52,53,54,55,60,62,70,71,72,73,74,83,85,91,95,98,104,107,123,125,132,134,
136,153,154,158,176,177,183,199,201,209,213,216,226,237,240,246,311,346,347,
352,359,360,364,372,376,383,384,431,449,457,495,497,509,573,648,656,661,683,
802],[1,4,5,6,7,8,10,11,19,20,21,27,28,29,34,42,45,46,49,53,68,73,74,75,83,
104,105,106,130,133,137,155,156,171,175,176,177,179,190,199,223,295,296,332,
365,420,471,482,485,501,580,583,803],[1,5,6,8,10,19,39,41,42,46,48,49,51,52,
54,57,104,105,130,193,210,215,217,226,230,269,280,343,349,358,360,414,444,477,
479,492,500,522,804],[1,3,5,6,7,8,9,10,11,12,19,22,23,26,27,29,40,42,44,53,55,
57,60,64,70,71,72,73,74,85,91,95,98,106,107,134,153,154,158,162,166,175,183,
187,192,199,213,237,240,246,318,347,381,436,449,460,502,514,515,518,805],[1,5,
6,7,8,10,17,19,20,29,39,41,42,43,46,48,49,51,52,54,57,58,62,96,104,106,130,
131,152,162,181,193,210,215,225,230,266,269,280,292,329,349,355,357,360,445,
477,479,531,548,553,579,806],[1,5,6,7,8,11,16,17,19,20,22,34,39,43,45,47,48,
52,53,54,58,62,64,83,96,105,133,152,170,198,200,204,210,214,217,225,232,266,
273,288,323,384,385,386,389,456,549,554,563,569,572,581,807],[1,5,6,7,8,10,15,
16,17,18,19,36,42,43,46,47,49,58,62,64,83,96,106,130,162,170,204,214,222,225,
268,270,355,357,359,361,379,415,478,480,547,548,554,556,808],[1,5,6,7,8,9,10,
11,12,29,31,34,35,36,40,43,45,46,47,53,55,64,68,70,74,76,79,81,87,88,95,100,
101,102,104,105,139,155,165,176,179,183,187,234,263,268,272,273,319,321,353,
373,378,382,385,448,463,471,506,507,510,577,809],[1,5,6,7,8,9,10,12,29,36,37,
38,42,43,44,47,49,50,57,65,66,67,69,71,72,76,82,83,91,94,99,103,106,107,139,
166,175,177,194,213,219,247,251,297,298,303,307,341,344,355,361,362,375,462,
496,502,536,539,545,576,810],[1,5,6,8,9,10,11,12,17,29,32,37,39,42,44,45,46,
48,49,57,61,66,68,69,71,72,74,78,79,84,94,102,104,106,107,131,166,175,176,179,
213,219,257,259,274,280,306,309,313,317,349,350,357,374,451,455,465,499,502,
529,583,811],[1,5,6,8,9,10,11,12,18,29,30,34,35,38,41,42,44,50,51,55,59,64,67,
71,72,82,83,84,87,90,91,99,100,102,106,136,165,175,177,187,194,213,249,252,
255,256,271,281,348,359,363,376,377,390,460,474,528,535,545,550,573,812],[1,5,
6,8,9,10,11,12,16,29,30,34,35,38,42,44,50,52,54,55,57,59,67,71,72,82,84,87,90,
91,99,100,102,104,106,132,165,166,175,176,194,213,249,252,255,262,271,281,283,
348,360,369,372,380,488,497,502,528,551,560,589,813],[1,5,6,7,8,9,10,11,12,29,
30,34,35,36,38,42,43,44,47,50,55,57,59,67,71,72,82,83,84,87,90,91,99,100,102,
105,139,155,165,166,177,194,213,249,251,252,255,271,281,348,361,362,375,378,
385,507,528,539,541,561,574,576,814],[1,5,6,8,9,10,11,12,17,29,30,34,35,38,39,
42,44,48,50,55,59,64,67,71,72,82,84,87,90,91,99,100,102,104,105,131,155,165,
176,187,194,213,249,252,255,271,281,290,348,349,374,386,387,388,448,473,476,
499,517,528,533,815],[1,5,6,7,8,10,18,19,27,29,36,39,41,42,46,48,49,51,52,54,
57,58,62,83,96,105,130,136,174,193,204,216,217,222,226,230,269,280,292,329,
338,343,358,359,361,459,464,468,477,478,522,557,816],[1,5,6,7,8,9,10,11,12,29,
33,36,37,38,40,43,47,49,50,53,57,65,67,69,70,77,79,84,91,95,97,100,103,104,
106,107,139,166,175,176,183,194,219,241,251,277,307,320,342,353,354,355,370,
375,382,455,462,503,510,514,560,576,817],[1,2,5,6,7,8,16,19,20,22,24,25,29,39,
41,43,47,48,51,54,58,62,96,104,105,106,122,135,162,168,170,176,186,188,189,
198,201,215,217,230,266,292,332,351,429,500,520,527,531,582,588,818],[1,2,5,6,
7,8,16,19,20,22,24,25,29,39,41,43,47,48,51,54,58,62,83,96,105,106,122,135,160,
162,170,177,186,188,189,198,201,204,217,230,266,292,332,351,433,520,527,542,
556,557,569,819],[1,2,5,6,7,8,9,10,11,12,19,20,22,24,25,29,34,35,37,49,55,56,
57,64,67,68,69,72,73,83,87,93,95,98,107,135,160,165,166,173,177,180,184,187,
190,204,219,253,265,324,335,345,347,433,467,524,536,550,574,587,820],[1,2,5,6,
7,8,9,10,11,12,19,20,22,24,25,29,38,45,46,50,55,56,67,68,70,71,74,80,86,91,93,
104,105,106,107,135,155,168,169,175,176,179,185,194,196,215,221,237,254,265,
316,351,371,429,471,475,476,525,560,583,821],[1,4,5,6,7,8,9,10,11,12,16,19,20,
21,27,28,29,34,35,36,37,43,47,49,52,54,55,58,62,63,69,70,71,74,75,87,89,91,92,
105,106,107,127,132,137,139,155,165,170,175,182,202,205,207,212,219,223,228,
232,237,244,267,295,307,310,328,332,355,358,369,378,380,385,430,462,466,501,
507,512,589,594,646,652,687,822],[1,5,6,7,8,11,16,18,19,22,27,34,36,41,45,47,
51,52,53,54,58,62,64,96,104,106,133,162,170,201,202,214,215,216,222,224,226,
273,288,323,338,380,382,383,390,453,547,549,564,570,575,588,823],[1,4,5,6,7,8,
9,10,11,12,19,20,21,27,28,29,34,35,37,49,55,63,64,69,70,71,74,75,83,87,89,91,
92,104,107,137,165,176,177,187,197,205,212,214,219,223,228,237,244,267,296,
328,365,424,448,467,470,512,550,580,824],[1,2,5,6,7,8,9,10,19,20,22,24,25,29,
35,42,44,46,49,50,56,57,63,64,71,72,105,106,129,130,135,155,161,166,173,175,
178,187,213,221,228,324,345,351,371,434,460,502,517,524,525,541,825],[1,4,5,6,
7,8,18,19,20,21,27,28,29,36,39,43,48,51,52,54,57,58,62,96,105,106,120,137,162,
164,166,182,193,206,207,210,216,217,218,222,266,295,329,371,427,464,491,492,
537,578,579,826],[1,4,5,6,7,8,9,10,11,12,17,18,19,20,21,27,28,29,39,40,41,42,
44,48,51,53,67,68,69,70,71,72,75,80,83,86,87,92,95,96,104,119,120,131,136,137,
167,171,174,176,177,181,183,206,213,220,227,230,253,254,296,311,314,327,328,
349,359,365,374,376,383,389,421,495,499,511,519,573,580,608,668,684,689,827],[
1,4,5,6,7,8,9,10,11,12,16,19,20,21,27,28,29,36,40,42,43,44,47,52,53,54,58,62,
67,68,69,70,71,72,75,80,83,86,87,92,95,104,127,132,137,139,167,170,171,176,
177,182,183,202,207,213,220,227,232,253,254,296,327,328,352,353,360,361,362,
365,372,382,384,430,497,509,510,519,539,580,596,639,678,688,828],[1,4,5,6,7,8,
9,10,11,12,19,20,21,27,28,29,40,42,44,53,57,67,68,69,70,71,72,75,80,86,87,92,
95,105,106,137,155,166,167,171,175,183,193,213,218,220,227,253,254,295,327,
328,332,427,501,502,514,519,541,586,829],[1,4,5,6,7,8,9,10,11,12,19,20,21,27,
28,29,40,42,44,53,64,67,68,69,70,71,72,75,80,86,87,92,95,105,106,137,155,167,
171,175,183,187,197,213,214,220,227,253,254,295,327,328,332,424,460,501,515,
517,519,577,830],[1,2,5,6,7,8,9,10,11,12,18,19,20,22,24,25,29,34,35,36,37,41,
43,47,49,51,55,56,62,67,68,69,72,73,87,93,95,96,98,105,106,107,126,135,136,
139,155,165,173,175,180,184,186,188,190,208,219,222,224,253,265,307,308,335,
343,347,351,355,371,377,378,385,390,428,462,505,507,525,535,587,602,644,654,
681,831],[1,2,5,6,7,8,9,10,11,12,16,17,19,20,22,24,25,29,34,35,37,39,48,49,52,
54,55,56,58,67,68,69,72,73,87,93,95,98,105,106,107,121,122,131,132,135,152,
155,165,173,175,180,184,189,190,200,210,219,253,265,309,310,335,347,351,357,
358,369,371,380,386,387,435,451,466,525,533,587,589,615,630,645,653,832],[1,3,
5,6,7,8,9,11,16,19,22,23,26,27,29,34,35,36,39,41,44,45,47,48,50,51,52,53,55,
57,58,62,64,85,86,87,96,123,129,133,134,154,159,165,170,193,196,200,209,211,
214,224,227,229,230,231,251,256,259,262,273,285,288,290,324,329,338,381,432,
486,534,546,549,565,566,609,623,657,658,833],[1,5,6,7,8,10,16,18,19,22,27,36,
41,42,46,47,49,51,52,54,58,62,64,83,96,105,130,170,201,202,204,214,216,217,
222,224,226,268,270,323,338,343,358,359,361,453,478,480,521,522,569,571,834],[
1,5,6,8,9,10,12,18,29,37,38,41,42,44,49,50,51,64,65,66,67,69,71,72,76,82,83,
91,94,99,103,105,107,136,155,177,187,194,213,219,247,256,297,298,303,308,341,
343,344,359,363,376,467,474,496,505,517,561,573,835],[1,5,6,8,9,10,12,16,29,
37,38,42,44,49,50,52,54,57,65,66,67,69,71,72,76,82,91,94,99,103,104,105,107,
132,155,166,176,194,213,219,247,262,283,297,298,303,310,341,344,358,360,372,
455,466,476,488,496,497,541,836],[1,4,5,6,7,8,9,12,19,20,21,27,28,29,35,37,38,
40,44,50,67,83,91,92,98,104,105,106,129,137,138,155,158,167,175,176,177,184,
194,195,212,295,296,332,365,426,476,501,545,560,561,580,837],[1,5,6,8,9,10,12,
17,29,37,38,39,42,44,48,49,50,64,65,66,67,69,71,72,76,82,91,94,99,103,104,106,
107,131,175,176,187,194,213,219,247,290,297,298,303,309,341,344,349,357,374,
388,451,460,470,473,496,499,560,838],[1,5,6,8,9,10,11,17,29,34,35,39,42,44,45,
46,48,55,57,61,66,68,71,72,74,77,81,82,87,88,90,104,105,131,155,165,166,176,
179,213,238,239,242,259,280,286,322,336,349,374,386,387,465,471,499,532,533,
541,551,839],[1,5,6,7,8,9,10,11,29,34,35,36,42,43,44,45,46,47,55,61,64,66,68,
71,72,74,77,81,82,83,87,88,90,105,139,155,165,177,179,187,213,238,239,242,268,
273,286,322,336,361,362,378,385,482,506,507,517,532,539,550,840],[1,5,6,8,9,
10,11,18,29,34,35,41,42,44,45,46,51,55,57,61,66,68,71,72,74,77,81,82,83,87,88,
90,106,136,165,166,175,177,179,213,238,239,242,269,285,286,322,336,359,376,
377,390,485,502,532,535,562,573,574,841],[1,5,6,8,9,10,11,16,29,34,35,42,44,
45,46,52,54,55,61,64,66,68,71,72,74,77,81,82,87,88,90,104,106,132,165,175,176,
179,187,213,238,239,242,270,286,288,322,336,360,369,372,380,448,460,481,497,
532,583,589,842],[1,5,6,7,8,12,16,19,22,29,37,38,39,40,41,47,48,51,52,54,57,
58,62,83,96,105,132,138,170,193,200,201,204,210,217,226,283,292,308,310,314,
323,329,352,375,454,468,484,487,489,492,569,843],[1,3,5,6,7,8,9,11,19,22,23,
26,27,29,34,35,44,45,50,53,55,57,64,83,85,86,87,104,129,133,134,154,159,165,
166,176,177,187,196,227,229,318,346,364,381,432,448,457,518,550,551,574,844],[
1,5,6,7,8,10,17,18,19,20,27,36,39,41,42,43,46,48,49,51,57,58,62,83,96,106,130,
162,164,174,181,193,204,208,222,225,230,266,269,280,338,355,357,359,361,472,
477,478,494,537,542,548,845],[1,2,5,6,7,8,11,12,19,20,22,24,25,29,34,37,38,40,
45,53,57,64,70,89,93,95,105,106,133,135,138,155,157,166,169,175,180,183,187,
203,205,324,345,351,371,423,514,515,524,525,577,586,846],[1,3,5,6,7,8,10,12,
18,19,22,23,26,27,29,36,37,38,39,40,41,42,46,47,48,49,52,54,58,60,62,69,80,83,
96,104,107,125,130,134,138,153,163,172,174,185,202,204,209,210,211,215,219,
220,222,231,292,311,314,323,346,349,352,353,359,360,361,365,422,458,478,479,
487,508,526,675,683,688,689,847],[1,3,5,6,7,8,9,11,18,19,22,23,26,27,29,34,35,
36,39,41,44,45,47,48,50,52,53,54,55,58,62,83,85,86,87,96,104,125,129,133,134,
154,159,165,174,196,202,204,209,210,211,215,222,227,229,231,292,323,346,362,
365,372,374,376,382,383,384,389,432,458,508,567,568,575,581,639,655,656,684,
848],[1,5,6,7,8,10,16,19,22,29,39,41,42,46,47,48,49,51,52,54,58,62,64,96,104,
105,130,132,170,200,201,210,214,215,217,226,268,270,292,323,329,343,349,358,
360,454,479,480,522,570,572,582,849],[1,3,5,6,7,8,17,19,22,23,26,27,29,36,39,
43,47,48,57,58,64,83,96,104,124,131,134,139,164,193,198,204,211,214,215,225,
231,324,346,365,381,419,445,458,486,494,554,555,850],[1,4,5,6,7,8,9,10,11,12,
19,20,21,27,28,29,30,33,34,35,37,38,40,42,44,49,50,53,55,59,63,65,66,67,68,69,
70,71,72,74,75,76,77,78,79,80,82,84,86,87,88,89,90,91,92,94,95,97,98,99,100,
101,102,103,107,129,137,138,145,150,158,165,167,171,183,184,194,195,205,212,
213,219,220,223,227,228,233,234,237,241,244,247,249,252,253,254,255,260,267,
271,274,275,277,278,281,282,286,287,289,291,297,298,300,303,305,312,313,315,
319,320,322,325,326,327,328,330,334,340,341,342,344,348,354,366,367,368,370,
426,496,503,512,519,528,552,595,599,601,604,606,607,614,619,620,621,665,851],[
1,3,5,6,7,8,16,19,22,23,26,27,29,36,39,41,47,48,51,52,58,62,83,96,104,105,123,
134,155,170,191,200,204,209,211,215,217,224,230,231,329,338,346,365,425,458,
500,534,557,569,582,852],[1,3,5,6,7,8,16,19,22,23,26,27,29,36,39,41,47,48,51,
52,58,62,83,96,104,106,123,134,162,170,175,192,200,204,209,211,215,224,230,
231,329,338,346,365,436,458,531,534,542,556,588,853],[1,3,5,6,7,8,16,18,19,22,
23,26,27,29,41,51,52,54,57,62,64,83,104,123,125,132,134,136,193,201,204,209,
214,215,216,226,324,346,365,381,431,444,458,468,486,570,571,854],[1,3,5,6,7,8,
18,19,22,23,26,27,29,36,39,41,47,48,52,54,57,58,62,64,96,105,125,134,155,174,
191,193,202,209,210,211,214,217,222,231,292,323,324,381,425,464,486,492,508,
521,572,855],[1,3,5,6,7,8,18,19,22,23,26,27,29,36,39,41,47,48,52,54,57,58,62,
64,96,106,125,134,162,174,175,192,193,202,209,210,211,214,222,231,292,323,324,
381,436,486,508,537,547,579,590,856],[1,5,6,8,10,11,12,17,29,37,39,40,45,46,
48,49,53,57,59,61,65,68,69,70,74,81,83,94,95,97,101,106,107,131,166,175,177,
179,183,219,243,258,259,280,289,293,299,309,314,357,366,389,446,451,465,485,
511,514,536,857],[1,4,5,6,7,8,16,19,20,21,27,28,29,36,43,47,52,54,58,62,83,
104,105,106,127,132,137,139,162,170,182,202,204,207,215,217,232,295,296,364,
371,430,491,556,558,569,582,588,858],[1,5,6,7,8,12,15,16,17,18,19,36,37,38,40,
43,47,57,58,62,96,104,106,138,162,170,193,215,222,225,283,307,309,311,353,375,
379,415,445,484,526,537,543,588,859],[1,5,6,7,8,12,18,19,27,29,36,37,38,39,40,
41,48,51,52,54,58,62,64,96,104,105,136,138,174,214,215,216,217,222,226,230,
292,308,310,311,329,338,353,363,388,459,489,498,500,521,526,570,860],[1,2,5,6,
7,8,9,10,11,12,19,20,22,24,25,29,34,35,37,49,55,56,57,64,67,68,69,72,73,87,93,
95,98,104,107,135,165,166,168,173,176,180,184,187,190,215,219,253,265,324,335,
345,347,429,448,455,470,524,551,587,861],[1,5,6,7,8,9,16,18,19,22,27,35,36,41,
44,47,50,51,52,54,57,58,62,83,96,106,129,162,170,193,201,202,204,216,222,224,
226,251,262,323,338,362,369,376,377,450,453,468,537,556,565,567,862],[1,4,5,6,
7,8,9,12,17,19,20,21,27,28,29,35,36,37,38,40,41,43,44,48,50,51,52,54,58,62,67,
91,92,96,98,105,106,119,129,137,138,152,158,162,167,182,184,194,195,206,207,
208,212,217,225,226,292,295,307,308,309,310,338,369,371,377,378,387,426,450,
489,490,491,540,543,602,630,669,687,863],[1,5,6,7,8,11,16,19,22,29,34,39,41,
45,47,48,51,52,53,54,58,62,64,83,96,106,132,133,162,170,200,201,204,210,214,
226,273,288,292,323,329,380,384,389,390,454,549,556,564,571,581,590,864],[1,4,
5,6,7,8,9,10,11,12,19,20,21,27,28,29,34,35,37,49,55,57,63,69,70,71,74,75,83,
87,89,91,92,104,107,137,165,166,176,177,193,205,212,218,219,223,228,237,244,
267,296,328,365,427,455,512,536,551,574,580,865],[1,2,5,6,7,8,18,19,20,22,24,
25,29,36,41,43,47,51,57,62,64,96,105,106,126,135,136,139,162,186,188,193,208,
214,217,222,224,318,332,345,351,428,464,521,527,537,547,584,866],[1,4,5,6,7,8,
17,19,20,21,27,28,29,36,41,43,48,51,52,54,57,58,62,83,96,104,119,137,152,166,
182,193,204,206,207,208,215,218,225,226,292,296,338,364,427,444,445,468,494,
540,558,867],[1,2,5,6,7,8,11,12,16,19,20,22,24,25,29,34,37,38,39,40,41,43,45,
47,48,51,53,54,57,58,62,64,70,89,93,95,96,122,133,135,138,157,169,170,180,183,
186,188,189,193,198,201,203,205,214,230,259,266,273,283,285,288,292,318,345,
363,375,388,423,484,498,520,546,549,584,643,685,686,691,868],[1,3,5,6,7,8,9,
10,11,12,19,22,23,26,27,29,38,45,46,50,60,63,67,68,69,72,74,83,85,87,89,91,95,
104,105,134,155,157,163,176,177,178,179,191,194,217,229,236,246,253,267,346,
364,425,457,461,471,476,482,561,869],[1,3,5,6,7,8,9,10,11,12,19,22,23,26,27,
29,38,45,46,50,60,63,67,68,69,72,74,83,85,87,89,91,95,104,106,134,157,162,163,
175,176,177,178,179,192,194,229,236,246,253,267,346,364,436,457,461,485,545,
560,583,870],[1,5,6,7,8,12,16,17,19,20,22,37,38,39,40,43,47,48,52,54,57,58,62,
83,96,106,138,152,162,170,193,198,200,204,210,225,232,266,283,307,309,314,323,
352,375,456,484,487,494,543,556,579,871],[1,5,6,8,11,19,34,39,41,45,48,51,52,
53,54,57,83,106,133,162,193,204,210,226,230,259,285,380,384,389,390,414,468,
542,546,564,579,581,872],[1,4,5,6,7,8,17,19,20,21,27,28,29,36,41,43,48,51,52,
54,58,62,64,83,96,104,119,137,152,182,187,197,204,206,207,208,214,215,225,226,
292,296,338,364,424,540,554,555,558,570,571,873],[1,5,6,8,9,19,35,39,41,44,48,
50,51,52,54,64,104,106,129,162,210,214,215,226,230,256,290,369,372,374,377,
414,450,531,566,568,570,590,874],[1,4,5,6,7,8,9,12,18,19,20,21,27,28,29,35,36,
37,38,39,40,43,44,48,50,51,52,54,58,62,67,83,91,92,96,98,104,120,129,137,138,
158,164,167,182,184,194,195,204,206,207,210,212,215,216,222,266,296,311,314,
329,352,353,362,364,372,374,376,426,487,526,558,567,568,578,596,608,622,661,
875],[1,5,6,7,8,12,17,19,20,29,37,38,39,40,41,43,48,51,52,54,58,62,64,83,96,
106,131,138,152,162,181,204,210,214,225,230,266,292,307,309,314,329,352,363,
388,487,498,542,543,553,554,590,876],[1,2,5,6,7,8,9,10,11,12,19,20,22,24,25,
29,30,32,34,35,37,38,42,44,45,46,49,50,55,56,59,61,63,65,66,67,68,69,70,71,72,
73,74,76,77,78,79,80,81,82,84,86,87,88,90,91,93,94,95,98,99,100,102,103,107,
129,130,135,142,149,161,165,169,173,178,179,180,184,185,190,194,196,213,219,
221,228,233,234,235,237,238,239,241,242,247,249,252,253,254,255,257,258,263,
265,271,274,275,276,281,282,284,286,293,297,298,300,302,303,304,305,306,312,
313,316,317,320,322,331,333,335,336,341,344,347,348,350,356,434,475,496,528,
529,532,587,592,598,601,616,618,619,626,627,634,659,677,877],[1,4,5,6,7,8,9,
10,11,12,19,20,21,27,28,29,31,32,34,35,37,40,42,44,45,46,49,53,55,59,61,63,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,86,87,88,89,90,91,92,94,
95,97,100,101,102,107,130,133,137,140,146,156,165,167,171,179,183,190,199,205,
212,213,219,220,223,227,228,234,235,237,238,239,242,243,244,250,252,253,254,
257,258,260,263,264,267,272,274,279,281,284,286,287,289,293,299,302,303,304,
306,313,315,317,319,320,321,322,325,326,327,328,330,336,339,341,350,354,366,
373,420,446,463,512,519,529,532,591,595,597,598,614,624,626,631,640,651,670,
878],[1,5,6,7,8,9,16,19,22,29,35,39,41,44,47,48,50,51,52,54,57,58,62,96,104,
106,129,132,162,170,193,200,201,210,215,226,251,262,292,323,329,369,372,374,
377,444,450,454,565,568,579,588,879],[1,2,5,6,7,8,16,17,19,20,22,24,25,29,39,
48,52,54,57,58,64,105,106,121,122,131,132,135,152,162,189,193,200,210,214,217,
318,332,345,351,435,492,527,572,579,584,590,880],[1,2,5,6,7,8,17,19,20,22,24,
25,29,39,41,43,47,51,52,54,57,58,62,64,83,96,121,135,160,177,181,186,188,189,
193,204,214,225,226,232,318,323,329,345,433,468,494,523,554,571,584,881],[1,2,
5,6,7,8,17,19,20,22,24,25,29,39,41,43,47,51,52,54,57,58,62,64,96,104,121,135,
168,176,181,186,188,189,193,214,215,225,226,232,318,323,329,345,429,444,445,
523,555,570,584,882],[1,5,6,7,8,11,17,18,19,20,27,34,36,39,41,43,45,48,51,53,
57,58,62,96,104,105,133,164,174,181,193,208,215,217,222,225,230,259,266,285,
338,382,383,385,386,445,464,472,500,546,563,575,883],[1,4,5,6,7,8,18,19,20,21,
27,28,29,36,39,43,48,51,52,54,58,62,64,96,105,106,120,137,162,164,182,187,197,
206,207,210,214,216,217,222,266,295,329,371,424,491,521,547,572,578,590,884],[
1,5,6,7,8,9,18,19,27,29,35,36,39,41,44,48,50,51,52,54,58,62,64,83,96,106,129,
136,162,174,204,214,216,222,226,230,256,290,292,329,338,362,369,376,377,450,
459,542,547,566,567,571,885],[1,5,6,7,8,11,15,16,17,18,19,34,36,43,45,47,53,
58,62,64,96,104,105,133,170,214,215,217,222,225,273,288,379,382,383,385,386,
415,521,549,555,563,575,582,886],[1,5,6,7,8,9,17,19,20,29,35,39,41,43,44,48,
50,51,52,54,58,62,64,96,104,105,129,131,152,181,210,214,215,217,225,230,256,
266,290,292,329,372,374,378,387,490,500,553,555,566,568,572,887],[1,5,6,7,8,9,
17,18,19,20,27,35,36,39,41,43,44,48,50,51,58,62,64,83,96,105,129,164,174,181,
204,208,214,217,222,225,230,256,266,290,338,362,376,378,387,472,490,521,554,
557,566,567,888],[1,5,6,7,8,11,17,19,20,29,34,39,41,43,45,48,51,52,53,54,57,
58,62,83,96,105,131,133,152,181,193,204,210,217,225,230,259,266,285,292,329,
384,385,386,389,492,494,546,553,557,563,581,889],[1,5,6,7,8,11,18,19,27,29,34,
36,39,41,45,48,51,52,53,54,57,58,62,96,104,106,133,136,162,174,193,215,216,
222,226,230,259,285,292,329,338,380,382,383,390,444,459,531,537,546,564,575,
890],[1,4,5,6,7,8,10,11,18,19,20,21,27,28,29,34,36,39,42,43,45,46,48,49,51,52,
53,54,58,62,68,73,74,75,83,96,104,120,130,133,137,156,164,171,179,182,190,199,
204,206,207,210,215,216,222,223,266,296,329,349,359,360,361,364,382,383,384,
389,420,478,479,558,575,578,581,648,649,668,678,891],[1,5,6,7,8,10,16,17,19,
20,22,39,42,43,46,47,48,49,52,54,58,62,64,96,104,106,130,152,162,170,198,200,
210,214,215,225,232,266,268,270,323,349,355,357,360,456,479,480,548,555,588,
590,892],[1,4,5,6,7,8,17,18,19,20,21,27,28,29,39,41,48,51,83,96,104,105,106,
119,120,131,136,137,162,174,181,204,206,215,217,230,295,296,364,371,421,491,
500,531,542,557,558,893],[1,2,5,6,7,8,9,10,11,12,19,20,22,24,25,29,31,33,34,
35,37,38,40,45,46,49,50,53,55,56,59,61,65,67,68,69,70,71,72,73,74,76,77,78,79,
80,81,84,86,87,88,89,90,91,93,94,95,97,98,99,100,101,102,103,107,133,135,138,
143,151,157,165,169,173,179,180,183,184,185,190,194,196,203,205,219,221,233,
234,237,239,241,243,250,252,253,254,258,260,263,264,265,271,272,276,277,278,
279,289,291,293,297,298,299,305,313,316,319,320,321,330,331,333,334,335,336,
339,340,342,347,350,354,356,366,367,368,370,373,423,446,463,475,503,552,587,
591,606,612,613,627,629,631,634,650,665,672,894],[1,5,6,7,8,9,15,16,17,18,19,
35,36,43,44,47,50,57,58,62,83,96,105,129,170,193,204,217,222,225,251,262,362,
376,378,379,387,415,464,490,494,565,567,569,895],[1,3,5,6,7,8,9,10,11,12,15,
17,20,23,26,34,35,36,37,39,41,43,47,48,49,52,58,60,62,63,67,68,70,71,73,80,85,
86,89,96,98,105,106,117,124,152,159,172,181,184,190,191,192,205,208,209,211,
228,231,232,236,240,254,266,301,307,308,309,310,332,343,355,357,358,369,371,
377,378,379,380,385,386,387,390,530,538,585,594,602,603,630,638,644,645,652,
663,673,682,690,896],[1,4,5,6,7,8,9,10,11,12,15,16,21,22,28,36,38,43,45,46,47,
48,50,51,52,54,55,57,58,62,63,64,72,73,75,80,86,89,92,95,96,98,107,118,127,
156,157,178,182,185,195,196,197,198,200,201,206,207,218,224,244,251,256,259,
262,268,269,270,273,280,283,285,288,290,301,318,323,324,327,347,363,375,379,
388,469,504,516,605,609,617,623,633,635,641,642,647,676,685,686,897],[1,2,3,4,
5,6,7,8,9,10,11,12,14,16,21,23,24,25,26,28,38,45,46,47,48,50,51,56,57,60,64,
69,70,71,73,75,85,87,92,93,96,98,122,123,127,128,156,163,169,188,195,197,206,
218,221,229,231,240,251,256,259,261,262,268,269,270,273,280,283,285,288,290,
328,335,345,363,375,381,388,418,447,452,628,635,641,642,643,657,658,664,666,
667,676,691,898],[1,2,3,4,5,6,7,8,9,10,11,12,14,18,21,23,24,25,26,28,36,39,40,
42,44,53,54,55,56,58,60,63,67,68,75,83,85,89,92,93,104,107,120,125,126,128,
153,154,160,161,167,168,171,182,189,203,211,236,244,261,265,296,311,314,346,
349,352,353,359,360,361,362,372,374,376,382,383,384,389,416,442,443,593,596,
608,611,636,637,655,656,668,675,678,683,899],[1,2,3,4,5,6,7,8,9,10,11,12,14,
21,23,24,25,26,28,30,31,32,33,34,35,37,38,40,42,44,45,46,49,50,53,55,56,59,60,
61,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,
90,91,92,93,94,95,97,98,99,100,101,102,103,107,128,140,141,142,143,144,145,
146,147,148,149,150,151,153,154,156,159,161,163,167,169,171,172,173,180,195,
203,212,221,223,229,233,234,235,236,238,239,240,241,242,243,244,245,246,247,
248,249,250,252,255,257,258,260,261,263,264,265,271,272,274,275,276,277,278,
279,281,282,284,286,287,289,291,293,294,297,298,299,300,302,303,304,305,306,
312,313,315,316,317,319,320,321,322,325,326,327,328,330,331,333,334,335,336,
337,339,340,341,342,344,348,350,354,356,366,367,368,370,373,437,439,440,441,
443,452,544,592,595,599,607,612,613,614,616,618,620,625,627,632,634,640,651,
662,670,671,672,674,679,680,692,900],[1,2,3,4,5,6,7,8,9,10,11,12,14,17,21,23,
24,25,26,28,34,35,37,41,43,49,52,56,60,62,72,74,75,80,85,86,91,92,93,95,105,
106,119,121,124,128,159,172,173,180,186,191,192,207,209,212,223,246,261,295,
307,308,309,310,316,327,343,351,355,357,358,369,377,378,380,385,386,387,390,
417,493,544,615,646,653,654,660,663,669,673,681,682,687,690,901],[1,2,3,4,5,6,
7,8,14,21,23,24,25,26,28,57,64,83,104,105,106,128,160,168,191,192,197,218,295,
296,345,346,351,381,442,447,493,902],[1,2,5,6,7,8,9,10,11,12,15,18,24,25,27,
36,39,40,41,42,43,44,47,51,53,54,56,58,62,63,69,73,74,80,83,86,87,89,91,93,96,
98,104,116,126,158,160,161,164,168,174,186,188,189,199,202,203,216,220,227,
267,301,311,314,316,335,338,349,352,353,359,360,361,362,364,365,372,374,376,
379,382,383,384,389,483,513,559,593,611,622,636,637,639,648,649,661,684,688,
689,903],[1,2,3,4,9,10,11,12,14,56,60,75,85,92,93,108,261,391,392,393,394,395,
396,397,693,694,695,696,697,698,699,904],[1,5,6,7,8,13,15,16,17,18,19,36,43,
47,58,62,96,170,222,225,379,398,399,400,401,415,905],[1,7,9,10,11,12,13,15,30,
31,32,33,59,63,73,76,77,78,80,86,89,98,250,284,291,300,301,401,402,403,404,
405,438,906],[1,3,7,8,10,12,13,17,23,37,43,49,60,80,106,109,110,111,124,172,
192,307,309,355,357,400,406,673,702,705,710,907],[1,3,7,8,9,11,13,17,23,34,35,
43,85,86,105,110,114,115,124,159,191,378,385,386,387,400,407,663,700,702,713,
908],[1,4,5,7,9,12,13,16,28,38,47,50,57,92,98,111,112,115,127,195,218,251,262,
283,375,398,408,641,708,709,716,909],[1,2,3,4,5,6,7,8,13,14,17,21,23,24,25,26,
28,41,43,52,62,110,112,113,119,121,124,128,186,207,209,400,411,417,702,704,
711,910],[1,2,3,4,5,6,7,8,13,14,18,21,23,24,25,26,28,36,39,54,58,110,112,113,
120,125,126,128,182,189,211,399,411,416,701,706,718,911],[1,3,5,6,10,12,13,16,
26,38,46,51,57,60,64,69,109,110,111,123,163,269,270,283,363,381,398,406,628,
707,708,714,912],[1,3,5,6,9,11,13,16,26,45,50,51,57,64,85,87,110,114,115,123,
229,256,262,285,288,381,398,407,657,714,716,717,913],[1,2,5,8,9,10,13,16,25,
46,48,50,56,57,64,71,109,113,115,122,221,262,270,280,290,345,398,410,664,703,
707,716,914],[1,2,6,7,9,10,13,18,24,36,42,44,56,63,83,109,113,115,126,160,161,
359,361,362,376,399,410,636,712,718,719,915],[1,3,5,6,10,12,13,18,26,40,42,54,
60,83,104,107,109,110,111,125,153,311,346,352,359,360,399,406,683,706,719,720,
916],[1,3,5,6,9,11,13,18,26,44,53,54,55,83,85,104,110,114,115,125,154,346,372,
376,383,384,399,407,656,706,712,715,917],[1,2,5,8,11,12,13,17,25,34,37,52,93,
95,105,106,111,113,114,121,180,309,310,351,380,386,400,409,653,704,710,713,
918],[1,4,6,8,10,11,13,18,21,39,42,53,68,75,83,104,109,112,114,120,171,296,
349,359,383,389,399,412,668,701,715,719,919],[1,2,5,8,11,12,13,16,25,38,45,48,
57,64,70,93,111,113,114,122,169,259,283,288,345,388,398,409,691,703,708,717,
920],[1,2,5,8,9,10,13,17,25,35,49,52,56,72,105,106,109,113,115,121,173,351,
357,358,369,387,400,410,615,700,704,705,921],[1,4,5,7,10,11,13,16,28,45,46,47,
64,73,75,109,112,114,127,156,197,268,270,273,288,398,412,676,707,709,717,
922],[1,4,6,8,9,12,13,17,21,35,37,41,91,92,105,106,111,112,115,119,212,295,
308,309,377,387,400,408,669,700,710,711,923],[1,2,3,4,5,6,7,8,13,14,16,21,23,
24,25,26,28,47,48,51,96,110,112,113,122,123,127,128,188,206,231,398,411,418,
703,709,714,924],[1,2,6,7,11,12,13,18,24,36,40,53,89,93,104,111,113,114,126,
168,203,311,353,382,383,399,409,611,715,718,720,925],[1,4,6,8,10,11,13,17,21,
34,41,49,74,75,105,106,109,112,114,119,223,295,343,357,386,390,400,412,660,
705,711,713,926],[1,4,6,8,9,12,13,18,21,39,40,44,67,83,92,104,111,112,115,120,
167,296,311,314,374,376,399,408,608,701,712,720,927],[1,2,3,4,9,10,11,12,13,
14,33,56,60,75,77,85,92,93,94,99,101,102,110,112,113,143,145,147,261,294,326,
333,402,411,439,721,722,733,928],[1,2,3,4,9,10,11,12,13,14,30,56,59,60,66,75,
79,85,88,92,93,103,110,112,113,142,144,150,245,261,287,356,405,411,441,725,
727,729,929],[1,2,3,4,9,10,11,12,13,14,32,56,60,65,75,78,81,82,85,92,93,100,
110,112,113,140,148,149,261,325,331,337,403,411,437,728,730,732,930],[1,2,3,4,
9,10,11,12,13,14,31,56,60,61,75,76,84,85,90,92,93,97,110,112,113,141,146,151,
248,261,276,315,404,411,440,723,734,735,931],[1,2,3,4,5,6,7,8,13,14,15,19,20,
21,22,23,24,25,26,27,28,29,110,112,113,116,117,118,128,134,135,137,401,411,
413,724,726,731,932],[1,11,13,31,108,114,394,404,933],[1,12,13,33,108,111,396,
402,934],[1,10,13,32,108,109,397,403,935],[1,9,13,30,108,115,392,405,936],[1,
2,3,4,5,6,7,8,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,36,39,41,43,47,
48,51,52,54,58,62,96,116,117,118,119,120,121,122,123,124,125,126,127,128,131,
132,134,135,136,137,139,152,164,170,174,181,182,186,188,189,198,200,201,202,
206,207,208,209,210,211,216,222,224,225,226,230,231,232,266,292,323,329,338,
379,413,414,415,416,417,418,419,421,428,430,431,435,453,454,456,459,472,504,
508,520,523,534,538,540,553,559,578,610,737,738,739,740,741,742,758,937],[1,2,
3,4,5,6,7,8,9,10,11,12,14,15,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,
35,37,38,40,42,44,45,46,49,50,53,55,56,59,60,61,63,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100,
101,102,103,107,116,117,118,128,129,130,133,134,135,137,138,140,141,142,143,
144,145,146,147,148,149,150,151,153,154,156,157,158,159,161,163,165,167,169,
171,172,173,178,179,180,183,184,185,190,194,195,196,199,203,205,212,213,219,
220,221,223,227,228,229,233,234,235,236,237,238,239,240,241,242,243,244,245,
246,247,248,249,250,252,253,254,255,257,258,260,261,263,264,265,267,271,272,
274,275,276,277,278,279,281,282,284,286,287,289,291,293,294,297,298,299,300,
301,302,303,304,305,306,312,313,315,316,317,319,320,321,322,325,326,327,328,
330,331,333,334,335,336,337,339,340,341,342,344,347,348,350,354,356,366,367,
368,370,373,413,420,422,423,426,432,434,437,438,439,440,441,443,446,449,452,
461,463,469,475,496,503,512,513,519,528,529,530,532,544,552,587,591,592,595,
597,598,599,600,601,604,606,607,612,613,614,616,618,619,620,621,624,625,626,
627,629,631,632,634,640,650,651,659,662,665,670,671,672,674,677,679,680,692,
753,760,761,765,782,785,851,877,878,894,900,938],[1,2,3,4,5,6,7,8,14,15,19,20,
21,22,23,24,25,26,27,28,29,105,106,116,117,118,128,134,135,137,155,162,175,
191,192,217,295,332,351,371,413,425,436,491,493,501,525,527,585,757,762,939],[
1,2,3,4,5,6,7,8,14,15,19,20,21,22,23,24,25,26,27,28,29,57,64,116,117,118,128,
134,135,137,166,187,193,197,214,218,318,324,345,381,413,424,427,447,486,516,
518,524,584,751,764,940],[1,2,3,4,5,6,7,8,14,15,19,20,21,22,23,24,25,26,27,28,
29,83,104,116,117,118,128,134,135,137,160,168,176,177,204,215,296,346,364,365,
413,429,433,442,457,458,483,558,580,755,763,941],[1,2,3,4,5,6,7,8,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,36,39,41,43,47,48,51,52,54,57,58,62,64,83,
96,104,116,117,118,119,120,121,122,123,124,125,126,127,128,131,132,134,135,
136,137,139,152,160,164,166,168,170,174,176,177,181,182,186,187,188,189,193,
197,198,200,201,202,204,206,207,208,209,210,211,214,215,216,218,222,224,225,
226,230,231,232,266,292,296,318,323,324,329,338,345,346,364,365,379,381,413,
416,417,418,419,421,424,427,428,429,430,431,433,435,442,444,445,447,457,458,
468,483,486,494,504,508,516,518,520,523,524,534,538,540,554,555,558,559,570,
571,578,580,584,751,755,758,850,854,867,873,881,882,942],[1,2,3,4,5,6,7,8,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,36,39,41,43,47,48,51,52,54,57,58,
62,64,96,105,106,116,117,118,119,120,121,122,123,124,125,126,127,128,131,132,
134,135,136,137,139,152,155,162,164,166,170,174,175,181,182,186,187,188,189,
191,192,193,197,198,200,201,202,206,207,208,209,210,211,214,216,217,218,222,
224,225,226,230,231,232,266,292,295,318,323,324,329,332,338,345,351,371,379,
381,413,416,417,418,419,421,424,425,427,428,430,431,435,436,447,464,486,491,
492,493,501,504,508,516,518,520,521,523,524,525,527,534,537,538,540,547,559,
572,578,579,584,585,590,751,757,758,826,855,856,866,880,884,943],[1,2,3,4,5,6,
7,8,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,36,39,41,43,47,48,51,52,
54,58,62,83,96,104,105,106,116,117,118,119,120,121,122,123,124,125,126,127,
128,131,132,134,135,136,137,139,152,155,160,162,164,168,170,174,175,176,177,
181,182,186,188,189,191,192,198,200,201,202,204,206,207,208,209,210,211,215,
216,217,222,224,225,226,230,231,232,266,292,295,296,323,329,332,338,346,351,
364,365,371,379,413,416,417,418,419,421,425,428,429,430,431,433,435,436,442,
457,458,483,491,493,500,501,504,508,520,523,525,527,531,534,538,540,542,556,
557,558,559,569,578,580,582,585,588,755,757,758,818,819,852,853,858,893,944],[
1,2,3,4,5,6,7,8,14,15,19,20,21,22,23,24,25,26,27,28,29,57,64,83,104,105,106,
116,117,118,128,134,135,137,155,160,162,166,168,175,176,177,187,191,192,193,
197,204,214,215,217,218,295,296,318,324,332,345,346,351,364,365,371,381,413,
424,425,427,429,433,436,442,447,457,458,483,486,491,493,501,516,518,524,525,
527,558,580,584,585,751,755,757,902,945],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,29,34,35,36,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,51,52,53,54,55,56,58,60,62,63,67,68,69,70,71,72,73,74,75,80,85,86,
87,89,91,92,93,95,96,98,105,106,107,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,138,139,152,153,154,155,156,
157,158,159,161,162,163,164,165,167,169,170,171,172,173,174,175,178,179,180,
181,182,183,184,185,186,188,189,190,191,192,194,195,196,198,199,200,201,202,
203,205,206,207,208,209,210,211,212,213,216,217,219,220,221,222,223,224,225,
226,227,228,229,230,231,232,236,237,240,244,246,253,254,261,265,266,267,292,
295,301,307,308,309,310,316,323,327,328,329,332,335,338,343,347,351,355,357,
358,369,371,377,378,379,380,385,386,387,390,413,416,417,418,419,420,421,422,
423,425,426,428,430,431,432,434,435,436,443,449,450,451,452,461,462,466,469,
475,489,490,491,493,501,504,505,507,508,512,513,519,520,522,523,525,527,530,
533,534,535,538,540,543,544,548,559,563,564,578,585,587,589,594,602,603,615,
630,638,644,645,646,652,653,654,660,663,669,673,681,682,687,690,744,749,750,
752,753,757,758,771,789,796,797,822,831,832,863,896,901,946],[1,2,3,4,5,6,7,8,
9,10,11,12,14,15,19,20,21,22,23,24,25,26,27,28,29,34,35,37,38,40,42,44,45,46,
49,50,53,55,56,60,63,67,68,69,70,71,72,73,74,75,80,83,85,86,87,89,91,92,93,95,
98,104,105,106,107,116,117,118,128,129,130,133,134,135,137,138,153,154,155,
156,157,158,159,160,161,162,163,165,167,168,169,171,172,173,175,176,177,178,
179,180,183,184,185,190,191,192,194,195,196,199,203,204,205,212,213,215,217,
219,220,221,223,227,228,229,236,237,240,244,246,253,254,261,265,267,295,296,
301,316,327,328,332,335,346,347,351,364,365,371,413,420,422,423,425,426,429,
432,433,434,436,442,443,449,452,457,458,461,469,471,475,476,482,483,485,491,
493,501,512,513,519,525,527,530,544,545,558,560,561,580,583,585,587,753,755,
757,793,803,821,837,869,870,947],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,
49,50,51,52,53,54,55,56,57,58,60,62,63,64,67,68,69,70,71,72,73,74,75,80,85,86,
87,89,91,92,93,95,96,98,107,116,117,118,119,120,121,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,136,137,138,139,152,153,154,156,157,158,159,
161,163,164,165,166,167,169,170,171,172,173,174,178,179,180,181,182,183,184,
185,186,187,188,189,190,193,194,195,196,197,198,199,200,201,202,203,205,206,
207,208,209,210,211,212,213,214,216,218,219,220,221,222,223,224,225,226,227,
228,229,230,231,232,236,237,240,244,246,251,253,254,256,259,261,262,265,266,
267,268,269,270,273,280,283,285,288,290,292,301,316,318,323,324,327,328,329,
335,338,345,347,363,375,379,381,388,413,416,417,418,419,420,421,422,423,424,
426,427,428,430,431,432,434,435,443,447,449,452,461,465,469,473,474,475,477,
480,481,484,486,488,498,504,506,508,512,513,516,518,519,520,523,524,530,534,
538,540,544,546,549,559,562,565,566,576,578,584,587,605,609,617,623,628,633,
635,641,642,643,647,657,658,664,666,667,676,685,686,691,743,746,747,751,753,
758,759,772,775,786,787,791,792,833,868,897,898,948],[1,2,3,4,5,6,7,8,9,10,11,
12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,60,62,63,67,68,69,70,71,72,73,74,
75,80,83,85,86,87,89,91,92,93,95,96,98,104,107,116,117,118,119,120,121,122,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,152,153,
154,156,157,158,159,160,161,163,164,165,167,168,169,170,171,172,173,174,176,
177,178,179,180,181,182,183,184,185,186,188,189,190,194,195,196,198,199,200,
201,202,203,204,205,206,207,208,209,210,211,212,213,215,216,219,220,221,222,
223,224,225,226,227,228,229,230,231,232,236,237,240,244,246,253,254,261,265,
266,267,292,296,301,311,314,316,323,327,328,329,335,338,346,347,349,352,353,
359,360,361,362,364,365,372,374,376,379,382,383,384,389,413,416,417,418,419,
420,421,422,423,426,428,429,430,431,432,433,434,435,442,443,449,452,457,458,
461,469,475,478,479,483,487,495,497,499,504,508,509,510,511,512,513,519,520,
523,526,530,534,538,539,540,544,558,559,567,568,573,575,578,580,581,587,593,
596,608,611,622,636,637,639,648,649,655,656,661,668,675,678,683,684,688,689,
745,748,753,754,755,756,758,780,802,827,828,847,848,875,891,899,903,949],[1,2,
3,4,5,6,7,8,9,10,11,12,14,15,19,20,21,22,23,24,25,26,27,28,29,34,35,37,38,40,
42,44,45,46,49,50,53,55,56,57,60,63,64,67,68,69,70,71,72,73,74,75,80,83,85,86,
87,89,91,92,93,95,98,104,107,116,117,118,128,129,130,133,134,135,137,138,153,
154,156,157,158,159,160,161,163,165,166,167,168,169,171,172,173,176,177,178,
179,180,183,184,185,187,190,193,194,195,196,197,199,203,204,205,212,213,214,
215,218,219,220,221,223,227,228,229,236,237,240,244,246,253,254,261,265,267,
296,301,316,318,324,327,328,335,345,346,347,364,365,381,413,420,422,423,424,
426,427,429,432,433,434,442,443,447,448,449,452,455,457,458,461,467,469,470,
475,483,486,512,513,516,518,519,524,530,536,544,550,551,558,574,580,584,587,
751,753,755,781,820,824,844,861,865,950],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,19,
20,21,22,23,24,25,26,27,28,29,34,35,37,38,40,42,44,45,46,49,50,53,55,56,57,60,
63,64,67,68,69,70,71,72,73,74,75,80,85,86,87,89,91,92,93,95,98,105,106,107,
116,117,118,128,129,130,133,134,135,137,138,153,154,155,156,157,158,159,161,
162,163,165,166,167,169,171,172,173,175,178,179,180,183,184,185,187,190,191,
192,193,194,195,196,197,199,203,205,212,213,214,217,218,219,220,221,223,227,
228,229,236,237,240,244,246,253,254,261,265,267,295,301,316,318,324,327,328,
332,335,345,347,351,371,381,413,420,422,423,424,425,426,427,432,434,436,443,
447,449,452,460,461,469,475,486,491,493,501,502,512,513,514,515,516,517,518,
519,524,525,527,530,541,544,577,584,585,586,587,751,753,757,777,805,825,829,
830,846,951],[1,3,5,6,7,8,9,11,16,18,19,22,23,26,27,29,34,35,36,39,41,44,45,
47,48,50,51,52,53,54,55,57,58,62,64,83,85,86,87,96,104,106,123,125,129,132,
133,134,136,154,159,162,165,170,174,175,192,193,196,200,201,202,204,209,210,
211,214,215,216,222,224,226,227,229,230,231,251,256,259,262,273,285,288,290,
292,323,324,329,338,346,362,365,369,372,374,376,377,380,381,382,383,384,389,
390,414,431,432,436,444,450,453,454,458,459,468,486,508,531,534,535,537,542,
546,547,549,556,564,565,566,567,568,570,571,575,579,581,588,589,590,609,623,
639,655,656,657,658,684,690,737,750,823,833,848,853,854,856,862,864,872,874,
879,885,890,952],[1,3,5,6,7,8,9,10,11,12,17,19,22,23,26,27,29,32,33,36,37,38,
39,40,42,43,44,45,46,47,48,49,50,53,55,57,58,59,60,61,63,64,65,66,67,68,69,70,
71,72,73,74,76,77,78,79,80,81,82,83,84,85,87,89,91,94,95,96,97,98,99,100,101,
102,103,104,106,107,124,130,131,134,138,139,147,148,153,154,157,158,162,163,
164,166,172,175,176,177,178,179,183,185,187,192,194,198,199,211,213,219,220,
225,229,231,235,236,237,238,240,241,242,243,245,246,247,248,251,253,257,258,
259,263,264,267,268,271,273,274,277,278,280,281,282,284,289,290,291,293,294,
297,298,299,303,306,307,309,312,313,314,317,318,319,320,334,337,339,340,341,
342,344,346,347,349,350,353,354,355,357,361,362,364,366,370,374,375,381,382,
388,389,419,422,436,446,449,451,455,457,460,461,462,465,467,470,473,485,496,
499,502,503,506,510,511,514,515,518,529,536,539,543,545,548,560,576,583,604,
606,622,624,625,626,629,632,633,649,655,658,662,667,673,675,677,679,685,692,
744,776,779,780,781,782,786,790,805,810,811,817,838,857,870,953],[1,3,5,6,7,8,
10,12,16,18,19,22,23,26,27,29,36,37,38,39,40,41,42,46,47,48,49,51,52,54,57,58,
60,62,64,69,80,83,96,104,105,107,123,125,130,132,134,136,138,153,155,163,170,
172,174,185,191,193,200,201,202,204,209,210,211,214,215,216,217,219,220,222,
224,226,230,231,268,269,270,280,283,292,308,310,311,314,323,324,329,338,343,
346,349,352,353,358,359,360,361,363,365,375,381,388,414,422,425,431,444,453,
454,458,459,464,466,468,477,478,479,480,484,486,487,489,492,498,500,505,508,
521,522,526,534,557,569,570,571,572,582,605,617,628,667,675,682,683,688,689,
737,749,770,772,801,804,816,834,843,847,849,852,854,855,860,954],[1,2,5,6,7,8,
9,10,11,12,16,17,19,20,22,24,25,29,31,33,34,35,37,38,39,40,45,46,48,49,50,52,
53,54,55,56,57,58,59,61,64,65,67,68,69,70,71,72,73,74,76,77,78,79,80,81,83,84,
86,87,88,89,90,91,93,94,95,97,98,99,100,101,102,103,105,106,107,121,122,131,
132,133,135,138,143,151,152,155,157,160,165,166,169,173,175,177,179,180,183,
184,185,187,189,190,194,196,200,203,204,205,210,219,221,233,234,237,239,241,
243,250,252,253,254,258,259,260,262,263,264,265,270,271,272,276,277,278,279,
280,283,288,289,290,291,293,297,298,299,305,309,310,313,314,316,319,320,321,
324,330,331,333,334,335,336,339,340,342,345,347,350,351,352,354,356,357,358,
366,367,368,369,370,371,373,380,384,386,387,388,389,423,433,435,446,451,463,
465,466,467,473,475,481,482,485,487,488,503,509,511,514,515,524,525,533,536,
545,550,552,561,574,577,581,586,587,589,591,593,606,612,613,615,617,623,627,
629,630,631,634,645,650,653,664,665,672,691,754,767,779,784,788,791,793,795,
798,800,820,832,846,857,894,955],[1,3,5,6,7,8,9,10,11,12,16,18,19,22,23,26,27,
29,32,33,37,38,40,41,42,44,45,46,49,50,51,52,53,54,55,57,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,83,84,85,87,89,91,94,95,97,98,
99,100,101,102,103,104,105,107,123,125,130,132,134,136,138,147,148,153,154,
155,157,158,163,166,172,176,177,178,179,183,185,187,191,194,199,201,209,213,
216,217,219,220,226,229,235,236,237,238,240,241,242,243,245,246,247,248,253,
256,257,258,262,263,264,267,269,270,271,274,277,278,281,282,283,284,285,288,
289,291,293,294,297,298,299,303,306,308,310,311,312,313,317,318,319,320,334,
337,339,340,341,342,343,344,346,347,350,352,354,358,359,360,363,364,366,370,
372,376,381,383,384,422,425,431,446,449,455,457,461,466,467,470,471,474,476,
481,482,488,489,495,496,497,503,505,509,517,518,522,529,536,541,561,562,573,
577,586,604,606,624,625,626,628,629,632,647,648,656,657,661,662,677,679,682,
683,686,692,749,767,768,773,774,777,778,781,782,784,787,802,835,836,869,956],[
1,3,5,6,7,8,10,12,15,16,17,18,19,20,22,23,26,27,29,36,37,38,39,40,41,42,43,46,
47,48,49,51,52,54,57,58,60,62,64,69,80,83,96,104,106,107,117,123,124,125,130,
131,134,138,139,152,153,162,163,164,170,172,174,175,181,185,192,193,198,200,
202,204,208,209,210,211,214,215,219,220,222,224,225,230,231,232,266,268,269,
270,280,283,292,307,309,311,314,323,324,329,338,346,349,352,353,355,357,359,
360,361,363,365,375,379,381,388,415,419,422,436,445,451,456,458,462,472,477,
478,479,480,484,486,487,494,498,508,526,531,534,537,538,542,543,547,548,553,
554,555,556,579,588,590,605,610,617,628,667,673,675,683,688,689,742,744,772,
794,806,808,845,847,850,853,856,859,871,876,892,957],[1,3,5,6,7,8,9,11,15,16,
17,18,19,20,22,23,26,27,29,34,35,36,39,41,43,44,45,47,48,50,51,52,53,54,55,57,
58,62,64,83,85,86,87,96,104,105,117,123,124,125,129,131,133,134,139,152,154,
155,159,164,165,170,174,181,191,193,196,198,200,202,204,208,209,210,211,214,
215,217,222,224,225,227,229,230,231,232,251,256,259,262,266,273,285,288,290,
292,323,324,329,338,346,362,365,372,374,376,378,379,381,382,383,384,385,386,
387,389,415,419,425,432,445,456,458,464,472,486,490,492,494,500,507,508,521,
533,534,538,546,549,553,554,555,557,563,565,566,567,568,569,572,575,581,582,
609,610,623,639,655,656,657,658,663,684,742,752,766,807,833,848,850,852,855,
883,886,887,888,889,895,958],[1,3,5,6,7,8,9,10,11,12,17,19,22,23,26,27,29,30,
31,34,35,36,38,39,40,42,43,44,45,46,47,48,50,53,55,57,58,59,60,61,63,64,66,67,
68,69,70,71,72,73,74,76,77,78,79,81,82,83,84,85,86,87,88,89,90,91,95,96,97,98,
99,100,101,102,103,104,105,107,124,129,131,133,134,139,141,144,153,154,155,
157,158,159,163,164,165,166,176,177,178,179,183,187,191,194,196,198,199,211,
213,217,225,227,229,231,233,234,236,237,238,239,240,241,242,243,245,246,247,
248,249,250,251,252,253,255,259,260,263,267,268,271,272,273,274,275,278,279,
280,281,286,290,294,299,300,302,304,305,314,318,319,321,322,330,334,336,337,
344,346,347,348,349,350,353,354,361,362,364,367,368,373,374,375,378,381,382,
385,386,387,388,389,419,425,432,448,449,457,461,463,465,471,473,476,482,490,
499,506,507,510,511,517,518,528,532,533,539,541,550,551,552,561,563,574,576,
577,586,597,619,621,622,625,631,632,633,649,650,655,658,659,663,667,671,674,
675,680,685,752,777,780,783,785,786,788,795,809,814,815,839,840,844,869,959],[
1,3,5,6,7,8,9,10,11,12,16,18,19,22,23,26,27,29,30,31,34,35,38,40,41,42,44,45,
46,50,51,52,53,54,55,57,59,60,61,62,63,64,66,67,68,69,70,71,72,73,74,76,77,78,
79,81,82,83,84,85,86,87,88,89,90,91,95,97,98,99,100,101,102,103,104,106,107,
123,125,129,132,133,134,136,141,144,153,154,157,158,159,162,163,165,166,175,
176,177,178,179,183,187,192,194,196,199,201,209,213,216,226,227,229,233,234,
236,237,238,239,240,241,242,243,245,246,247,248,249,250,252,253,255,256,260,
262,263,267,269,270,271,272,274,275,278,279,281,283,285,286,288,294,299,300,
302,304,305,311,318,319,321,322,330,334,336,337,344,346,347,348,350,352,354,
359,360,363,364,367,368,369,372,373,376,377,380,381,383,384,390,431,432,436,
448,449,450,457,460,461,463,474,481,485,488,495,497,502,509,514,515,518,528,
532,535,545,550,551,552,560,562,564,573,574,583,589,597,619,621,625,628,631,
632,647,648,650,656,657,659,661,671,674,680,683,686,690,750,769,785,787,798,
799,800,802,805,812,813,841,842,844,870,960],[1,4,5,6,7,8,10,11,15,16,17,18,
19,20,21,22,27,28,29,34,36,39,41,42,43,45,46,47,48,49,51,52,53,54,58,62,64,68,
73,74,75,83,96,104,105,106,118,119,120,127,130,132,133,137,139,152,156,162,
164,170,171,179,182,187,190,197,198,199,200,201,202,204,206,207,208,210,214,
215,216,217,222,223,224,225,226,232,266,268,270,273,288,292,295,296,323,329,
338,343,349,355,357,358,359,360,361,364,371,379,380,382,383,384,385,386,389,
390,415,420,424,430,453,454,456,478,479,480,481,491,504,506,521,522,540,547,
548,549,554,555,556,558,563,564,569,570,571,572,575,578,581,582,588,590,610,
644,645,646,648,649,660,668,676,678,740,759,789,807,808,823,834,849,858,864,
873,884,886,891,892,961],[1,4,5,6,7,8,9,10,11,12,17,18,19,20,21,27,28,29,30,
33,34,35,37,38,39,40,41,42,44,48,49,50,51,53,55,59,63,64,65,66,67,68,69,70,71,
72,74,75,76,77,78,79,80,82,83,84,86,87,88,89,90,91,92,94,95,96,97,98,99,100,
101,102,103,104,105,106,107,119,120,129,131,136,137,138,145,150,155,158,165,
167,171,174,175,176,177,181,183,184,187,194,195,197,205,206,212,213,214,219,
220,223,227,228,230,233,234,237,241,244,247,249,252,253,254,255,256,260,267,
271,274,275,277,278,281,282,286,287,289,290,291,295,296,297,298,300,303,305,
308,309,311,312,313,314,315,319,320,322,325,326,327,328,330,332,334,340,341,
342,343,344,348,349,354,357,359,363,365,366,367,368,370,374,376,377,383,386,
387,388,389,390,421,424,426,448,451,460,467,470,473,474,476,495,496,498,499,
501,503,505,511,512,515,517,519,528,533,535,545,550,552,560,561,566,573,577,
580,595,599,601,603,604,606,607,608,614,619,620,621,638,642,660,665,668,669,
684,689,743,778,779,788,796,799,812,815,824,827,830,835,837,838,851,962],[1,4,
5,6,7,8,9,10,11,12,16,19,20,21,27,28,29,30,33,34,35,36,37,38,40,42,43,44,47,
49,50,52,53,54,55,57,58,59,62,63,65,66,67,68,69,70,71,72,74,75,76,77,78,79,80,
82,83,84,86,87,88,89,90,91,92,94,95,97,98,99,100,101,102,103,104,105,106,107,
127,129,132,137,138,139,145,150,155,158,165,166,167,170,171,175,176,177,182,
183,184,193,194,195,202,205,207,212,213,218,219,220,223,227,228,232,233,234,
237,241,244,247,249,251,252,253,254,255,260,262,267,271,274,275,277,278,281,
282,283,286,287,289,291,295,296,297,298,300,303,305,307,310,312,313,315,319,
320,322,325,326,327,328,330,332,334,340,341,342,344,348,352,353,354,355,358,
360,361,362,365,366,367,368,369,370,372,375,378,380,382,384,385,426,427,430,
455,462,466,476,484,488,496,497,501,502,503,507,509,510,512,514,519,528,536,
539,541,545,551,552,560,561,565,574,576,580,586,589,594,595,596,599,601,604,
606,607,614,619,620,621,639,641,646,652,665,678,687,688,747,783,784,800,810,
813,814,817,822,828,829,836,837,851,865,963],[1,4,5,6,7,8,9,10,11,12,16,19,20,
21,27,28,29,31,32,34,35,36,37,40,42,43,44,45,46,47,49,52,53,54,55,58,59,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,
90,91,92,94,95,97,100,101,102,104,105,106,107,127,130,132,133,137,139,140,146,
155,156,165,167,170,171,175,176,177,179,182,183,187,190,197,199,202,205,207,
212,213,214,219,220,223,227,228,232,234,235,237,238,239,242,243,244,250,252,
253,254,257,258,260,263,264,267,268,270,272,273,274,279,281,284,286,287,288,
289,293,295,296,299,302,303,304,306,307,310,313,315,317,319,320,321,322,325,
326,327,328,330,332,336,339,341,350,352,353,354,355,358,360,361,362,365,366,
369,372,373,378,380,382,384,385,420,424,430,446,448,460,462,463,466,467,470,
471,480,481,482,485,497,501,506,507,509,510,512,515,517,519,529,532,539,549,
550,577,580,583,589,591,594,595,596,597,598,614,624,626,631,639,640,646,651,
652,670,676,678,687,688,759,767,774,776,790,798,803,809,822,824,828,830,840,
842,878,964],[1,2,5,6,7,8,9,10,11,12,18,19,20,22,24,25,29,30,32,34,35,36,37,
38,41,42,43,44,45,46,47,49,50,51,55,56,57,59,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,76,77,78,79,80,81,82,83,84,86,87,88,90,91,93,94,95,96,98,99,100,102,
103,105,106,107,126,129,130,135,136,139,142,149,155,160,161,165,166,169,173,
175,177,178,179,180,184,185,186,187,188,190,194,196,204,208,213,219,221,222,
224,228,233,234,235,237,238,239,241,242,247,249,251,252,253,254,255,256,257,
258,263,265,268,269,271,273,274,275,276,281,282,284,285,286,293,297,298,300,
302,303,304,305,306,307,308,312,313,316,317,320,322,324,331,333,335,336,341,
343,344,345,347,348,350,351,355,356,359,361,362,363,371,375,376,377,378,385,
390,428,433,434,460,462,467,474,475,478,482,485,496,502,505,506,507,517,524,
525,528,529,532,535,536,539,541,545,550,561,562,567,573,574,576,587,592,598,
601,602,605,609,616,618,619,626,627,634,636,643,644,654,659,666,677,681,745,
773,776,792,793,810,812,814,820,825,831,835,840,841,877,965],[1,2,5,6,7,8,9,
10,11,12,16,17,19,20,22,24,25,29,30,32,34,35,37,38,39,42,44,45,46,48,49,50,52,
54,55,56,57,58,59,61,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,79,80,81,82,
84,86,87,88,90,91,93,94,95,98,99,100,102,103,104,105,106,107,121,122,129,130,
131,132,135,142,149,152,155,161,165,166,168,169,173,175,176,178,179,180,184,
185,187,189,190,194,196,200,210,213,215,219,221,228,233,234,235,237,238,239,
241,242,247,249,252,253,254,255,257,258,259,262,263,265,270,271,274,275,276,
280,281,282,283,284,286,288,290,293,297,298,300,302,303,304,305,306,309,310,
312,313,316,317,320,322,324,331,333,335,336,341,344,345,347,348,349,350,351,
356,357,358,360,369,371,372,374,380,386,387,388,429,434,435,448,451,455,460,
465,466,470,471,473,475,476,479,481,488,496,497,499,502,517,524,525,528,529,
532,533,541,551,560,568,583,587,589,592,598,601,615,616,617,618,619,623,626,
627,630,634,637,645,653,659,664,677,691,756,774,791,811,813,815,821,825,832,
836,838,839,842,861,877,966],[1,4,5,6,7,8,9,10,11,12,17,18,19,20,21,27,28,29,
31,32,34,35,37,39,40,41,42,44,45,46,48,49,51,53,55,57,59,61,63,65,66,67,68,69,
70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,86,87,88,89,90,91,92,94,95,96,97,
100,101,102,104,105,106,107,119,120,130,131,133,136,137,140,146,155,156,165,
166,167,171,174,175,176,177,179,181,183,190,193,199,205,206,212,213,218,219,
220,223,227,228,230,234,235,237,238,239,242,243,244,250,252,253,254,257,258,
259,260,263,264,267,269,272,274,279,280,281,284,285,286,287,289,293,295,296,
299,302,303,304,306,308,309,311,313,314,315,317,319,320,321,322,325,326,327,
328,330,332,336,339,341,343,349,350,354,357,359,365,366,373,374,376,377,383,
386,387,389,390,420,421,427,446,451,455,463,465,471,477,482,485,495,499,501,
502,505,511,512,514,519,529,532,533,535,536,541,546,551,562,573,574,580,583,
586,591,595,597,598,603,608,614,624,626,631,635,638,640,651,660,668,669,670,
684,689,746,768,769,773,795,796,803,811,827,829,839,841,857,865,878,967],[1,2,
5,6,7,8,9,10,16,17,19,20,22,24,25,29,35,39,41,42,43,44,46,47,48,49,50,51,52,
54,56,57,58,62,63,64,71,72,96,104,105,106,121,122,129,130,131,132,135,152,161,
162,168,170,173,176,178,181,186,188,189,193,198,200,201,210,213,214,215,217,
221,225,226,228,230,232,251,256,262,266,268,269,270,280,290,292,318,323,329,
332,343,345,349,351,355,357,358,360,369,372,374,377,378,387,414,429,434,435,
444,445,450,454,456,477,479,480,490,492,497,499,500,520,522,523,527,531,548,
553,555,565,566,568,570,572,579,582,584,588,590,615,633,637,638,647,652,654,
664,666,738,756,766,775,797,804,806,818,849,874,879,880,882,887,892,968],[1,2,
5,6,7,8,11,12,16,17,19,20,22,24,25,29,34,37,38,39,40,41,43,45,47,48,51,52,53,
54,57,58,62,64,70,83,89,93,95,96,105,106,121,122,131,132,133,135,138,152,157,
160,162,169,170,177,180,181,183,186,188,189,193,198,200,201,203,204,205,210,
214,217,225,226,230,232,259,266,273,283,285,288,292,307,308,309,310,314,318,
323,329,332,345,351,352,363,375,380,384,385,386,388,389,390,414,423,433,435,
454,456,468,484,487,489,492,494,498,509,511,520,523,527,542,543,546,549,553,
554,556,557,563,564,569,571,572,579,581,584,590,593,594,603,643,653,681,685,
686,691,738,754,770,771,807,819,843,864,868,871,872,876,880,881,889,969],[1,2,
5,6,7,8,9,10,11,12,18,19,20,22,24,25,29,31,33,34,35,36,37,38,40,41,43,45,46,
47,49,50,51,53,55,56,57,59,61,62,64,65,67,68,69,70,71,72,73,74,76,77,78,79,80,
81,84,86,87,88,89,90,91,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
126,133,135,136,138,139,143,151,155,157,165,166,168,169,173,175,176,179,180,
183,184,185,186,187,188,190,194,196,203,205,208,215,219,221,222,224,233,234,
237,239,241,243,250,251,252,253,254,256,258,260,263,264,265,268,269,271,272,
273,276,277,278,279,285,289,291,293,297,298,299,305,307,308,311,313,316,319,
320,321,324,330,331,333,334,335,336,339,340,342,343,345,347,350,351,353,354,
355,356,363,366,367,368,370,371,373,375,377,378,382,383,385,390,423,428,429,
446,448,455,462,463,470,471,474,475,476,495,503,505,506,507,510,514,515,524,
525,526,535,551,552,560,562,575,576,577,583,586,587,591,602,605,606,609,611,
612,613,627,629,631,634,643,644,650,654,665,666,672,681,748,768,769,778,783,
790,792,799,809,817,821,831,846,861,894,970],[1,2,5,6,7,8,9,10,15,16,17,18,19,
20,22,24,25,27,29,35,36,39,41,42,43,44,46,47,48,49,50,51,52,54,56,57,58,62,63,
64,71,72,83,96,105,106,116,121,122,126,129,130,135,136,139,160,161,162,164,
170,173,174,177,178,181,186,188,189,193,198,201,202,204,208,213,214,216,217,
221,222,224,225,226,228,230,232,251,256,262,266,268,269,270,280,290,292,318,
323,329,332,338,343,345,351,355,357,358,359,361,362,369,376,377,378,379,387,
415,428,433,434,450,453,459,464,468,472,477,478,480,490,494,520,521,522,523,
527,537,539,542,547,548,554,556,557,559,565,566,567,569,571,573,584,610,615,
633,636,638,647,652,654,664,666,741,745,775,797,808,816,819,834,845,862,866,
881,885,888,895,971],[1,4,5,6,7,8,9,12,17,18,19,20,21,27,28,29,35,36,37,38,39,
40,41,43,44,48,50,51,52,54,58,62,64,67,83,91,92,96,98,104,105,106,119,120,129,
131,136,137,138,152,158,162,164,167,174,181,182,184,187,194,195,197,204,206,
207,208,210,212,214,215,216,217,222,225,226,230,256,266,290,292,295,296,307,
308,309,310,311,314,329,338,352,353,362,363,364,369,371,372,374,376,377,378,
387,388,414,421,424,426,450,459,472,473,474,487,489,490,491,498,500,521,526,
531,540,542,543,547,553,554,555,557,558,566,567,568,570,571,572,578,590,596,
602,608,622,630,642,661,669,687,739,743,770,794,860,863,873,874,875,876,884,
885,887,888,893,972],[1,4,5,6,7,8,10,11,17,18,19,20,21,27,28,29,34,36,39,41,
42,43,45,46,48,49,51,52,53,54,57,58,62,68,73,74,75,83,96,104,105,106,119,120,
130,131,133,136,137,152,156,162,164,166,171,174,179,181,182,190,193,199,204,
206,207,208,210,215,216,217,218,222,223,225,226,230,259,266,269,280,285,292,
295,296,329,338,343,349,355,357,358,359,360,361,364,371,380,382,383,384,385,
386,389,390,414,420,421,427,444,445,459,464,465,468,472,477,478,479,491,492,
494,500,522,531,537,540,542,546,548,553,557,558,562,563,564,575,578,579,581,
635,644,645,646,648,649,660,668,678,739,746,789,804,806,816,826,845,867,872,
883,889,890,891,893,973],[1,4,5,6,7,8,9,12,15,16,17,18,19,20,21,22,27,28,29,
35,36,37,38,39,40,41,43,44,47,48,50,51,52,54,57,58,62,67,83,91,92,96,98,104,
105,106,118,119,120,127,129,132,137,138,139,152,158,162,164,166,167,170,182,
184,193,194,195,198,200,201,202,204,206,207,208,210,212,215,216,217,218,222,
224,225,226,232,251,262,266,283,292,295,296,307,308,309,310,311,314,323,329,
338,352,353,362,364,369,371,372,374,375,376,377,378,379,387,415,426,427,430,
444,445,450,453,454,456,464,468,484,487,488,489,490,491,492,494,504,526,537,
540,543,556,558,565,567,568,569,576,578,579,582,588,596,602,608,610,622,630,
641,661,669,687,740,747,766,801,826,843,858,859,862,863,867,871,875,879,895,
974],[1,2,5,6,7,8,11,12,15,16,17,18,19,20,22,24,25,27,29,34,36,37,38,39,40,41,
43,45,47,48,51,52,53,54,57,58,62,64,70,89,93,95,96,104,105,106,116,121,122,
126,133,135,136,138,139,157,162,164,168,169,170,174,176,180,181,183,186,188,
189,193,198,201,202,203,205,208,214,215,216,217,222,224,225,226,230,232,259,
266,273,283,285,288,292,307,308,309,310,311,318,323,329,332,338,345,351,353,
363,375,379,380,382,383,385,386,388,390,415,423,428,429,444,445,453,459,464,
472,484,489,495,498,500,510,520,521,523,526,527,531,537,543,546,547,549,555,
559,563,564,570,575,582,584,588,594,603,610,611,643,653,681,685,686,691,741,
748,771,794,801,818,823,859,860,866,868,882,883,886,890,975],[1,5,6,8,19,39,
41,48,51,52,54,108,210,226,230,414,976],[1,5,6,7,8,11,13,15,16,17,18,19,34,36,
43,45,47,53,58,62,64,96,104,105,114,133,170,214,215,217,222,225,273,288,379,
382,383,385,386,398,399,400,401,415,521,549,555,563,575,582,713,715,717,886,
905,977],[1,3,5,6,7,8,13,15,16,17,18,19,20,22,23,26,27,29,36,39,41,43,47,48,
51,52,54,58,62,96,110,117,123,124,125,131,134,139,152,164,170,174,181,198,200,
202,208,209,210,211,222,224,225,230,231,232,266,292,323,329,338,379,398,399,
400,401,415,419,456,472,508,534,538,553,610,702,706,714,724,742,905,978],[1,2,
5,6,7,8,13,15,16,17,18,19,20,22,24,25,27,29,36,39,41,43,47,48,51,52,54,58,62,
96,113,116,121,122,126,135,136,139,164,170,174,181,186,188,189,198,201,202,
208,216,222,224,225,226,230,232,266,292,323,329,338,379,398,399,400,401,415,
428,453,459,472,520,523,559,610,703,704,718,726,741,905,979],[1,5,6,7,8,9,13,
15,16,17,18,19,35,36,43,44,47,50,57,58,62,83,96,105,115,129,170,193,204,217,
222,225,251,262,362,376,378,379,387,398,399,400,401,415,464,490,494,565,567,
569,700,712,716,895,905,980],[1,4,5,6,7,8,13,15,16,17,18,19,20,21,22,27,28,29,
36,39,41,43,47,48,51,52,54,58,62,96,112,118,119,120,127,132,137,139,152,164,
170,182,198,200,201,202,206,207,208,210,216,222,224,225,226,232,266,292,323,
329,338,379,398,399,400,401,415,430,453,454,456,504,540,578,610,701,709,711,
731,740,905,981],[1,5,6,7,8,12,13,15,16,17,18,19,36,37,38,40,43,47,57,58,62,
96,104,106,111,138,162,170,193,215,222,225,283,307,309,311,353,375,379,398,
399,400,401,415,445,484,526,537,543,588,708,710,720,859,905,982],[1,5,6,7,8,
10,13,15,16,17,18,19,36,42,43,46,47,49,58,62,64,83,96,106,109,130,162,170,204,
214,222,225,268,270,355,357,359,361,379,398,399,400,401,415,478,480,547,548,
554,556,705,707,719,808,905,983],[1,4,5,7,9,10,11,12,13,15,22,28,30,31,32,33,
38,45,46,50,55,59,61,63,65,66,72,73,75,76,77,78,79,80,81,82,84,86,88,89,90,92,
94,95,97,98,99,100,101,102,103,107,112,118,140,145,146,150,156,157,178,185,
195,196,235,238,241,243,244,250,257,258,263,264,271,275,278,279,282,284,287,
291,297,300,301,302,304,305,312,315,325,326,327,336,339,340,342,344,347,348,
350,367,368,373,401,402,403,404,405,438,469,599,600,620,629,640,650,651,659,
677,722,727,730,731,735,765,906,984],[1,3,7,8,9,10,11,12,13,15,20,23,30,31,32,
33,34,35,37,49,59,60,61,63,65,66,67,68,70,71,73,76,77,78,79,80,81,82,84,85,86,
88,89,90,94,97,98,99,100,101,102,103,110,117,141,144,147,148,159,172,184,190,
205,228,233,234,235,236,239,240,245,248,249,250,252,254,264,272,275,279,282,
284,286,291,293,294,298,300,301,302,303,304,306,312,313,320,330,337,339,340,
366,367,368,370,401,402,403,404,405,438,530,591,598,600,601,665,671,674,679,
692,723,724,725,732,733,761,906,985],[1,2,6,7,9,10,11,12,13,15,24,27,30,31,32,
33,40,42,44,53,56,59,61,63,65,66,69,73,74,76,77,78,79,80,81,82,84,86,87,88,89,
90,91,93,94,97,98,99,100,101,102,103,113,116,142,143,149,151,158,161,199,203,
220,227,235,242,247,250,255,260,264,267,274,275,276,277,279,281,282,284,289,
291,299,300,301,302,304,312,316,317,319,321,322,331,333,334,335,339,340,341,
354,356,367,368,401,402,403,404,405,438,513,592,597,600,604,612,618,621,624,
672,721,726,728,729,734,760,906,986],[1,3,7,8,13,15,20,23,105,106,110,117,191,
192,332,371,401,585,724,762,987],[1,4,5,7,13,15,22,28,57,64,112,118,197,218,
318,324,401,516,731,764,988],[1,2,6,7,13,15,24,27,83,104,113,116,160,168,364,
365,401,483,726,763,989],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,21,23,24,25,26,
28,36,39,40,42,44,53,54,55,56,58,60,63,67,68,75,83,85,89,92,93,104,107,109,
110,111,112,113,114,115,120,125,126,128,153,154,160,161,167,168,171,182,189,
203,211,236,244,261,265,296,311,314,346,349,352,353,359,360,361,362,372,374,
376,382,383,384,389,399,406,407,408,409,410,411,412,416,442,443,593,596,608,
611,636,637,655,656,668,675,678,683,701,706,712,715,718,719,720,736,899,911,
915,916,917,919,925,927,990],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,21,23,24,25,
26,28,34,35,37,41,43,49,52,56,60,62,72,74,75,80,85,86,91,92,93,95,105,106,109,
110,111,112,113,114,115,119,121,124,128,159,172,173,180,186,191,192,207,209,
212,223,246,261,295,307,308,309,310,316,327,343,351,355,357,358,369,377,378,
380,385,386,387,390,400,406,407,408,409,410,411,412,417,493,544,615,646,653,
654,660,663,669,673,681,682,687,690,700,702,704,705,710,711,713,736,901,907,
908,910,918,921,923,926,991],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,21,23,24,25,
26,28,38,45,46,47,48,50,51,56,57,60,64,69,70,71,73,75,85,87,92,93,96,98,109,
110,111,112,113,114,115,122,123,127,128,156,163,169,188,195,197,206,218,221,
229,231,240,251,256,259,261,262,268,269,270,273,280,283,285,288,290,328,335,
345,363,375,381,388,398,406,407,408,409,410,411,412,418,447,452,628,635,641,
642,643,657,658,664,666,667,676,691,703,707,708,709,714,716,717,736,898,909,
912,913,914,920,922,924,992],[1,4,9,12,13,30,92,103,108,111,112,115,150,392,
393,396,405,408,693,727,936,993],[1,3,9,11,13,30,85,88,108,110,114,115,144,
391,392,394,405,407,698,725,936,994],[1,2,11,12,13,31,93,97,108,111,113,114,
151,394,395,396,404,409,697,734,933,995],[1,3,9,11,13,31,85,90,108,110,114,
115,141,391,392,394,404,407,698,723,933,996],[1,4,10,11,13,31,61,75,108,109,
112,114,146,393,394,397,404,412,694,735,933,997],[1,4,9,12,13,33,92,99,108,
111,112,115,145,392,393,396,402,408,693,722,934,998],[1,2,9,10,13,32,56,82,
108,109,113,115,149,392,395,397,403,410,699,728,935,999],[1,2,9,10,13,30,56,
66,108,109,113,115,142,392,395,397,405,410,699,729,936,1000],[1,3,10,12,13,32,
60,65,108,109,110,111,148,391,396,397,403,406,696,732,935,1001],[1,3,10,12,13,
33,60,94,108,109,110,111,147,391,396,397,402,406,696,733,934,1002],[1,2,11,12,
13,33,93,101,108,111,113,114,143,394,395,396,402,409,697,721,934,1003],[1,4,
10,11,13,32,75,81,108,109,112,114,140,393,394,397,403,412,694,730,935,1004],[
1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,62,
63,64,67,68,69,70,71,72,73,74,75,80,83,85,86,87,89,91,92,93,95,96,98,104,105,
106,107,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,136,137,138,139,152,153,154,155,156,157,158,159,160,161,162,163,
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,
221,222,223,224,225,226,227,228,229,230,231,232,236,237,240,244,246,251,253,
254,256,259,261,262,265,266,267,268,269,270,273,280,283,285,288,290,292,295,
296,301,307,308,309,310,311,314,316,318,323,324,327,328,329,332,335,338,343,
345,346,347,349,351,352,353,355,357,358,359,360,361,362,363,364,365,369,371,
372,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,413,
414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,
433,434,435,436,442,443,444,445,447,449,450,451,452,453,454,456,457,458,459,
461,462,464,465,466,468,469,472,473,474,475,477,478,479,480,481,483,484,486,
487,488,489,490,491,492,493,494,495,497,498,499,500,501,504,505,506,507,508,
509,510,511,512,513,516,518,519,520,521,522,523,524,525,526,527,530,531,533,
534,535,537,538,539,540,542,543,544,546,547,548,549,553,554,555,556,557,558,
559,562,563,564,565,566,567,568,569,570,571,572,573,575,576,578,579,580,581,
582,584,585,587,588,589,590,593,594,596,602,603,605,608,609,610,611,615,617,
622,623,628,630,633,635,636,637,638,639,641,642,643,644,645,646,647,648,649,
652,653,654,655,656,657,658,660,661,663,664,666,667,668,669,673,675,676,678,
681,682,683,684,685,686,687,688,689,690,691,737,738,739,740,741,742,743,744,
745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,766,770,771,772,
775,780,786,787,789,791,792,794,796,797,801,802,804,806,807,808,816,818,819,
822,823,826,827,828,831,832,833,834,843,845,847,848,849,850,852,853,854,855,
856,858,859,860,862,863,864,866,867,868,871,872,873,874,875,876,879,880,881,
882,883,884,885,886,887,888,889,890,891,892,893,895,896,897,898,899,901,903,
937,942,943,944,946,948,949,952,954,957,958,961,968,969,971,972,973,974,975,
1005],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
58,60,62,63,64,67,68,69,70,71,72,73,74,75,80,83,85,86,87,89,91,92,93,95,96,98,
104,105,106,107,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,
131,132,133,134,135,136,137,138,139,152,153,154,155,156,157,158,159,160,161,
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,
219,220,221,222,223,224,225,226,227,228,229,230,231,232,236,237,240,244,246,
253,254,261,265,266,267,292,295,296,301,307,308,309,310,316,318,323,324,327,
328,329,332,335,338,343,345,346,347,351,355,357,358,364,365,369,371,377,378,
379,380,381,385,386,387,390,413,416,417,418,419,420,421,422,423,424,425,426,
427,428,429,430,431,432,433,434,435,436,442,443,447,449,450,451,452,457,458,
460,461,462,464,466,469,471,475,476,482,483,485,486,489,490,491,492,493,500,
501,502,504,505,507,508,512,513,514,515,516,517,518,519,520,521,522,523,524,
525,527,530,531,533,534,535,537,538,540,541,542,543,544,545,547,548,556,557,
558,559,560,561,563,564,569,572,577,578,579,580,582,583,584,585,586,587,588,
589,590,594,602,603,615,630,638,644,645,646,652,653,654,660,663,669,673,681,
682,687,690,744,749,750,751,752,753,755,757,758,762,771,777,789,793,796,797,
803,805,818,819,821,822,825,826,829,830,831,832,837,846,852,853,855,856,858,
863,866,869,870,880,884,893,896,901,902,939,943,944,945,946,947,951,1006],[1,
2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,34,
35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,62,
63,64,67,68,69,70,71,72,73,74,75,80,83,85,86,87,89,91,92,93,95,96,98,104,105,
106,107,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,136,137,138,139,152,153,154,155,156,157,158,159,160,161,162,163,
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,
221,222,223,224,225,226,227,228,229,230,231,232,236,237,240,244,246,251,253,
254,256,259,261,262,265,266,267,268,269,270,273,280,283,285,288,290,292,295,
296,301,316,318,323,324,327,328,329,332,335,338,345,346,347,351,363,364,365,
371,375,379,381,388,413,416,417,418,419,420,421,422,423,424,425,426,427,428,
429,430,431,432,433,434,435,436,442,443,444,445,447,448,449,452,455,457,458,
460,461,464,465,467,468,469,470,473,474,475,477,480,481,483,484,486,488,491,
492,493,494,498,501,502,504,506,508,512,513,514,515,516,517,518,519,520,521,
523,524,525,527,530,534,536,537,538,540,541,544,546,547,549,550,551,554,555,
558,559,562,565,566,570,571,572,574,576,577,578,579,580,584,585,586,587,590,
605,609,617,623,628,633,635,641,642,643,647,657,658,664,666,667,676,685,686,
691,743,746,747,751,753,755,757,758,759,764,772,775,777,781,786,787,791,792,
805,820,824,825,826,829,830,833,844,846,850,854,855,856,861,865,866,867,868,
873,880,881,882,884,897,898,902,940,942,943,945,948,950,951,1007],[1,2,3,4,5,
6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,62,63,64,67,
68,69,70,71,72,73,74,75,80,83,85,86,87,89,91,92,93,95,96,98,104,105,106,107,
116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,
135,136,137,138,139,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
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,
223,224,225,226,227,228,229,230,231,232,236,237,240,244,246,253,254,261,265,
266,267,292,295,296,301,311,314,316,318,323,324,327,328,329,332,335,338,345,
346,347,349,351,352,353,359,360,361,362,364,365,371,372,374,376,379,381,382,
383,384,389,413,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,
431,432,433,434,435,436,442,443,444,445,447,448,449,452,455,457,458,461,467,
468,469,470,471,475,476,478,479,482,483,485,486,487,491,493,494,495,497,499,
500,501,504,508,509,510,511,512,513,516,518,519,520,523,524,525,526,527,530,
531,534,536,538,539,540,542,544,545,550,551,554,555,556,557,558,559,560,561,
567,568,569,570,571,573,574,575,578,580,581,582,583,584,585,587,588,593,596,
608,611,622,636,637,639,648,649,655,656,661,668,675,678,683,684,688,689,745,
748,751,753,754,755,756,757,758,763,780,781,793,802,803,818,819,820,821,824,
827,828,837,844,847,848,850,852,853,854,858,861,865,867,869,870,873,875,881,
882,891,893,899,902,903,941,942,944,945,947,949,950,1008],[1,2,3,4,5,6,7,8,9,
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,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
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,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,116,117,118,
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,
385,386,387,388,389,390,413,416,417,418,419,420,421,422,423,424,425,426,427,
428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,446,447,448,
449,450,451,452,455,457,458,460,461,462,463,465,466,467,469,470,471,473,474,
475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,493,495,
496,497,498,499,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,
516,517,518,519,520,522,523,524,525,526,527,528,529,530,532,533,534,535,536,
538,539,540,541,543,544,545,546,548,549,550,551,552,558,559,560,561,562,563,
564,565,566,567,568,573,574,575,576,577,578,580,581,583,584,585,586,587,589,
591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,
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,
687,688,689,690,691,692,743,744,745,746,747,748,749,750,751,752,753,754,755,
756,757,758,759,760,761,765,767,768,769,771,772,773,774,775,776,777,778,779,
780,781,782,783,784,785,786,787,788,789,790,791,792,793,795,796,797,798,799,
800,802,803,805,809,810,811,812,813,814,815,817,820,821,822,824,825,827,828,
829,830,831,832,833,835,836,837,838,839,840,841,842,844,846,847,848,851,857,
861,863,865,868,869,870,875,877,878,891,894,896,897,898,899,900,901,903,938,
946,947,948,949,950,951,953,955,956,959,960,962,963,964,965,966,967,970,
1009],[1,3,5,6,7,8,16,18,19,22,23,26,27,29,36,39,41,47,48,51,52,54,58,62,96,
108,123,125,132,134,136,170,174,200,201,202,209,210,211,216,222,224,226,230,
231,292,323,329,338,391,414,431,453,454,459,508,534,737,976,1010],[1,4,5,6,7,
8,17,18,19,20,21,27,28,29,36,39,41,43,48,51,52,54,58,62,96,108,119,120,131,
136,137,152,164,174,181,182,206,207,208,210,216,222,225,226,230,266,292,329,
338,393,414,421,459,472,540,553,578,739,976,1011],[1,5,6,8,12,19,37,38,39,40,
41,48,51,52,54,64,83,105,108,138,204,210,214,217,226,230,308,310,314,352,363,
388,396,414,487,489,498,557,571,572,770,976,1012],[1,2,5,6,7,8,16,17,19,20,22,
24,25,29,39,41,43,47,48,51,52,54,58,62,96,108,121,122,131,132,135,152,170,181,
186,188,189,198,200,201,210,225,226,230,232,266,292,323,329,395,414,435,454,
456,520,523,553,738,976,1013],[1,5,6,8,11,19,34,39,41,45,48,51,52,53,54,57,83,
106,108,133,162,193,204,210,226,230,259,285,380,384,389,390,394,414,468,542,
546,564,579,581,872,976,1014],[1,5,6,8,9,19,35,39,41,44,48,50,51,52,54,64,104,
106,108,129,162,210,214,215,226,230,256,290,369,372,374,377,392,414,450,531,
566,568,570,590,874,976,1015],[1,5,6,8,10,19,39,41,42,46,48,49,51,52,54,57,
104,105,108,130,193,210,215,217,226,230,269,280,343,349,358,360,397,414,444,
477,479,492,500,522,804,976,1016],[1,2,5,6,7,8,9,10,13,15,16,17,18,19,20,22,
24,25,27,29,35,36,39,41,42,43,44,46,47,48,49,50,51,52,54,56,57,58,62,63,64,71,
72,83,96,105,106,109,113,115,116,121,122,126,129,130,135,136,139,160,161,162,
164,170,173,174,177,178,181,186,188,189,193,198,201,202,204,208,213,214,216,
217,221,222,224,225,226,228,230,232,251,256,262,266,268,269,270,280,290,292,
318,323,329,332,338,343,345,351,355,357,358,359,361,362,369,376,377,378,379,
387,398,399,400,401,410,415,428,433,434,450,453,459,464,468,472,477,478,480,
490,494,520,521,522,523,527,537,539,542,547,548,554,556,557,559,565,566,567,
569,571,573,584,610,615,633,636,638,647,652,654,664,666,700,703,704,705,707,
712,716,718,719,726,741,745,775,797,808,816,819,834,845,862,866,881,885,888,
895,905,914,915,921,971,979,980,983,1017],[1,3,5,6,7,8,10,12,13,15,16,17,18,
19,20,22,23,26,27,29,36,37,38,39,40,41,42,43,46,47,48,49,51,52,54,57,58,60,62,
64,69,80,83,96,104,106,107,109,110,111,117,123,124,125,130,131,134,138,139,
152,153,162,163,164,170,172,174,175,181,185,192,193,198,200,202,204,208,209,
210,211,214,215,219,220,222,224,225,230,231,232,266,268,269,270,280,283,292,
307,309,311,314,323,324,329,338,346,349,352,353,355,357,359,360,361,363,365,
375,379,381,388,398,399,400,401,406,415,419,422,436,445,451,456,458,462,472,
477,478,479,480,484,486,487,494,498,508,526,531,534,537,538,542,543,547,548,
553,554,555,556,579,588,590,605,610,617,628,667,673,675,683,688,689,702,705,
706,707,708,710,714,719,720,724,742,744,772,794,806,808,845,847,850,853,856,
859,871,876,892,905,907,912,916,957,978,982,983,1018],[1,3,5,6,7,8,9,11,13,15,
16,17,18,19,20,22,23,26,27,29,34,35,36,39,41,43,44,45,47,48,50,51,52,53,54,55,
57,58,62,64,83,85,86,87,96,104,105,110,114,115,117,123,124,125,129,131,133,
134,139,152,154,155,159,164,165,170,174,181,191,193,196,198,200,202,204,208,
209,210,211,214,215,217,222,224,225,227,229,230,231,232,251,256,259,262,266,
273,285,288,290,292,323,324,329,338,346,362,365,372,374,376,378,379,381,382,
383,384,385,386,387,389,398,399,400,401,407,415,419,425,432,445,456,458,464,
472,486,490,492,494,500,507,508,521,533,534,538,546,549,553,554,555,557,563,
565,566,567,568,569,572,575,581,582,609,610,623,639,655,656,657,658,663,684,
700,702,706,712,713,714,715,716,717,724,742,752,766,807,833,848,850,852,855,
883,886,887,888,889,895,905,908,913,917,958,977,978,980,1019],[1,4,5,6,7,8,9,
12,13,15,16,17,18,19,20,21,22,27,28,29,35,36,37,38,39,40,41,43,44,47,48,50,51,
52,54,57,58,62,67,83,91,92,96,98,104,105,106,111,112,115,118,119,120,127,129,
132,137,138,139,152,158,162,164,166,167,170,182,184,193,194,195,198,200,201,
202,204,206,207,208,210,212,215,216,217,218,222,224,225,226,232,251,262,266,
283,292,295,296,307,308,309,310,311,314,323,329,338,352,353,362,364,369,371,
372,374,375,376,377,378,379,387,398,399,400,401,408,415,426,427,430,444,445,
450,453,454,456,464,468,484,487,488,489,490,491,492,494,504,526,537,540,543,
556,558,565,567,568,569,576,578,579,582,588,596,602,608,610,622,630,641,661,
669,687,700,701,708,709,710,711,712,716,720,731,740,747,766,801,826,843,858,
859,862,863,867,871,875,879,895,905,909,923,927,974,980,981,982,1020],[1,2,5,
6,7,8,11,12,13,15,16,17,18,19,20,22,24,25,27,29,34,36,37,38,39,40,41,43,45,47,
48,51,52,53,54,57,58,62,64,70,89,93,95,96,104,105,106,111,113,114,116,121,122,
126,133,135,136,138,139,157,162,164,168,169,170,174,176,180,181,183,186,188,
189,193,198,201,202,203,205,208,214,215,216,217,222,224,225,226,230,232,259,
266,273,283,285,288,292,307,308,309,310,311,318,323,329,332,338,345,351,353,
363,375,379,380,382,383,385,386,388,390,398,399,400,401,409,415,423,428,429,
444,445,453,459,464,472,484,489,495,498,500,510,520,521,523,526,527,531,537,
543,546,547,549,555,559,563,564,570,575,582,584,588,594,603,610,611,643,653,
681,685,686,691,703,704,708,710,713,715,717,718,720,726,741,748,771,794,801,
818,823,859,860,866,868,882,883,886,890,905,918,920,925,975,977,979,982,
1021],[1,2,3,4,5,6,7,8,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,36,
39,41,43,47,48,51,52,54,58,62,96,110,112,113,116,117,118,119,120,121,122,123,
124,125,126,127,128,131,132,134,135,136,137,139,152,164,170,174,181,182,186,
188,189,198,200,201,202,206,207,208,209,210,211,216,222,224,225,226,230,231,
232,266,292,323,329,338,379,398,399,400,401,411,413,414,415,416,417,418,419,
421,428,430,431,435,453,454,456,459,472,504,508,520,523,534,538,540,553,559,
578,610,701,702,703,704,706,709,711,714,718,724,726,731,737,738,739,740,741,
742,758,905,910,911,924,932,937,978,979,981,1022],[1,4,5,6,7,8,10,11,13,15,16,
17,18,19,20,21,22,27,28,29,34,36,39,41,42,43,45,46,47,48,49,51,52,53,54,58,62,
64,68,73,74,75,83,96,104,105,106,109,112,114,118,119,120,127,130,132,133,137,
139,152,156,162,164,170,171,179,182,187,190,197,198,199,200,201,202,204,206,
207,208,210,214,215,216,217,222,223,224,225,226,232,266,268,270,273,288,292,
295,296,323,329,338,343,349,355,357,358,359,360,361,364,371,379,380,382,383,
384,385,386,389,390,398,399,400,401,412,415,420,424,430,453,454,456,478,479,
480,481,491,504,506,521,522,540,547,548,549,554,555,556,558,563,564,569,570,
571,572,575,578,581,582,588,590,610,644,645,646,648,649,660,668,676,678,701,
705,707,709,711,713,715,717,719,731,740,759,789,807,808,823,834,849,858,864,
873,884,886,891,892,905,919,922,926,961,977,981,983,1023],[1,2,3,4,5,6,7,8,13,
14,15,19,20,21,22,23,24,25,26,27,28,29,83,104,110,112,113,116,117,118,128,134,
135,137,160,168,176,177,204,215,296,346,364,365,401,411,413,429,433,442,457,
458,483,558,580,724,726,731,755,763,932,941,989,1024],[1,2,3,4,5,6,7,8,13,14,
15,19,20,21,22,23,24,25,26,27,28,29,105,106,110,112,113,116,117,118,128,134,
135,137,155,162,175,191,192,217,295,332,351,371,401,411,413,425,436,491,493,
501,525,527,585,724,726,731,757,762,932,939,987,1025],[1,2,3,4,5,6,7,8,9,10,
11,12,13,14,15,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,37,38,40,42,
44,45,46,49,50,53,55,56,59,60,61,63,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,84,85,86,87,88,89,90,91,92,93,94,95,97,98,99,100,101,102,103,107,
110,112,113,116,117,118,128,129,130,133,134,135,137,138,140,141,142,143,144,
145,146,147,148,149,150,151,153,154,156,157,158,159,161,163,165,167,169,171,
172,173,178,179,180,183,184,185,190,194,195,196,199,203,205,212,213,219,220,
221,223,227,228,229,233,234,235,236,237,238,239,240,241,242,243,244,245,246,
247,248,249,250,252,253,254,255,257,258,260,261,263,264,265,267,271,272,274,
275,276,277,278,279,281,282,284,286,287,289,291,293,294,297,298,299,300,301,
302,303,304,305,306,312,313,315,316,317,319,320,321,322,325,326,327,328,330,
331,333,334,335,336,337,339,340,341,342,344,347,348,350,354,356,366,367,368,
370,373,401,402,403,404,405,411,413,420,422,423,426,432,434,437,438,439,440,
441,443,446,449,452,461,463,469,475,496,503,512,513,519,528,529,530,532,544,
552,587,591,592,595,597,598,599,600,601,604,606,607,612,613,614,616,618,619,
620,621,624,625,626,627,629,631,632,634,640,650,651,659,662,665,670,671,672,
674,677,679,680,692,721,722,723,724,725,726,727,728,729,730,731,732,733,734,
735,753,760,761,765,782,785,851,877,878,894,900,906,928,929,930,931,932,938,
984,985,986,1026],[1,2,3,4,5,6,7,8,13,14,15,19,20,21,22,23,24,25,26,27,28,29,
57,64,110,112,113,116,117,118,128,134,135,137,166,187,193,197,214,218,318,324,
345,381,401,411,413,424,427,447,486,516,518,524,584,724,726,731,751,764,932,
940,988,1027],[1,2,3,4,9,10,11,12,13,14,30,56,59,60,66,75,79,85,88,92,93,103,
108,109,110,111,112,113,114,115,142,144,150,245,261,287,356,391,392,393,394,
395,396,397,405,406,407,408,409,410,411,412,441,693,694,695,696,697,698,699,
725,727,729,736,904,929,936,993,994,1000,1028],[1,2,3,4,9,10,11,12,13,14,31,
56,60,61,75,76,84,85,90,92,93,97,108,109,110,111,112,113,114,115,141,146,151,
248,261,276,315,391,392,393,394,395,396,397,404,406,407,408,409,410,411,412,
440,693,694,695,696,697,698,699,723,734,735,736,904,931,933,995,996,997,
1029],[1,2,3,4,9,10,11,12,13,14,33,56,60,75,77,85,92,93,94,99,101,102,108,109,
110,111,112,113,114,115,143,145,147,261,294,326,333,391,392,393,394,395,396,
397,402,406,407,408,409,410,411,412,439,693,694,695,696,697,698,699,721,722,
733,736,904,928,934,998,1002,1003,1030],[1,2,3,4,9,10,11,12,13,14,32,56,60,65,
75,78,81,82,85,92,93,100,108,109,110,111,112,113,114,115,140,148,149,261,325,
331,337,391,392,393,394,395,396,397,403,406,407,408,409,410,411,412,437,693,
694,695,696,697,698,699,728,730,732,736,904,930,935,999,1001,1004,1031],[1,2,
3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,
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,
107,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
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,
381,382,383,384,385,386,387,388,389,390,413,414,415,416,417,418,419,420,421,
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,
688,689,690,691,692,737,738,739,740,741,742,743,744,745,746,747,748,749,750,
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,
903,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,
955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,
974,975,1005,1006,1007,1008,1009,1032],[1,2,3,4,5,6,7,8,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,36,39,41,43,47,48,51,52,54,58,62,96,108,116,117,
118,119,120,121,122,123,124,125,126,127,128,131,132,134,135,136,137,139,152,
164,170,174,181,182,186,188,189,198,200,201,202,206,207,208,209,210,211,216,
222,224,225,226,230,231,232,266,292,323,329,338,379,391,393,395,413,414,415,
416,417,418,419,421,428,430,431,435,453,454,456,459,472,504,508,520,523,534,
538,540,553,559,578,610,695,737,738,739,740,741,742,758,937,976,1010,1011,
1013,1033],[1,3,5,6,7,8,10,12,16,18,19,22,23,26,27,29,36,37,38,39,40,41,42,46,
47,48,49,51,52,54,57,58,60,62,64,69,80,83,96,104,105,107,108,123,125,130,132,
134,136,138,153,155,163,170,172,174,185,191,193,200,201,202,204,209,210,211,
214,215,216,217,219,220,222,224,226,230,231,268,269,270,280,283,292,308,310,
311,314,323,324,329,338,343,346,349,352,353,358,359,360,361,363,365,375,381,
388,391,396,397,414,422,425,431,444,453,454,458,459,464,466,468,477,478,479,
480,484,486,487,489,492,498,500,505,508,521,522,526,534,557,569,570,571,572,
582,605,617,628,667,675,682,683,688,689,696,737,749,770,772,801,804,816,834,
843,847,849,852,854,855,860,954,976,1010,1012,1016,1034],[1,3,5,6,7,8,9,11,16,
18,19,22,23,26,27,29,34,35,36,39,41,44,45,47,48,50,51,52,53,54,55,57,58,62,64,
83,85,86,87,96,104,106,108,123,125,129,132,133,134,136,154,159,162,165,170,
174,175,192,193,196,200,201,202,204,209,210,211,214,215,216,222,224,226,227,
229,230,231,251,256,259,262,273,285,288,290,292,323,324,329,338,346,362,365,
369,372,374,376,377,380,381,382,383,384,389,390,391,392,394,414,431,432,436,
444,450,453,454,458,459,468,486,508,531,534,535,537,542,546,547,549,556,564,
565,566,567,568,570,571,575,579,581,588,589,590,609,623,639,655,656,657,658,
684,690,698,737,750,823,833,848,853,854,856,862,864,872,874,879,885,890,952,
976,1010,1014,1015,1035],[1,2,5,6,7,8,11,12,16,17,19,20,22,24,25,29,34,37,38,
39,40,41,43,45,47,48,51,52,53,54,57,58,62,64,70,83,89,93,95,96,105,106,108,
121,122,131,132,133,135,138,152,157,160,162,169,170,177,180,181,183,186,188,
189,193,198,200,201,203,204,205,210,214,217,225,226,230,232,259,266,273,283,
285,288,292,307,308,309,310,314,318,323,329,332,345,351,352,363,375,380,384,
385,386,388,389,390,394,395,396,414,423,433,435,454,456,468,484,487,489,492,
494,498,509,511,520,523,527,542,543,546,549,553,554,556,557,563,564,569,571,
572,579,581,584,590,593,594,603,643,653,681,685,686,691,697,738,754,770,771,
807,819,843,864,868,871,872,876,880,881,889,969,976,1012,1013,1014,1036],[1,4,
5,6,7,8,10,11,17,18,19,20,21,27,28,29,34,36,39,41,42,43,45,46,48,49,51,52,53,
54,57,58,62,68,73,74,75,83,96,104,105,106,108,119,120,130,131,133,136,137,152,
156,162,164,166,171,174,179,181,182,190,193,199,204,206,207,208,210,215,216,
217,218,222,223,225,226,230,259,266,269,280,285,292,295,296,329,338,343,349,
355,357,358,359,360,361,364,371,380,382,383,384,385,386,389,390,393,394,397,
414,420,421,427,444,445,459,464,465,468,472,477,478,479,491,492,494,500,522,
531,537,540,542,546,548,553,557,558,562,563,564,575,578,579,581,635,644,645,
646,648,649,660,668,678,694,739,746,789,804,806,816,826,845,867,872,883,889,
890,891,893,973,976,1011,1014,1016,1037],[1,4,5,6,7,8,9,12,17,18,19,20,21,27,
28,29,35,36,37,38,39,40,41,43,44,48,50,51,52,54,58,62,64,67,83,91,92,96,98,
104,105,106,108,119,120,129,131,136,137,138,152,158,162,164,167,174,181,182,
184,187,194,195,197,204,206,207,208,210,212,214,215,216,217,222,225,226,230,
256,266,290,292,295,296,307,308,309,310,311,314,329,338,352,353,362,363,364,
369,371,372,374,376,377,378,387,388,392,393,396,414,421,424,426,450,459,472,
473,474,487,489,490,491,498,500,521,526,531,540,542,543,547,553,554,555,557,
558,566,567,568,570,571,572,578,590,596,602,608,622,630,642,661,669,687,693,
739,743,770,794,860,863,873,874,875,876,884,885,887,888,893,972,976,1011,1012,
1015,1038],[1,2,5,6,7,8,9,10,16,17,19,20,22,24,25,29,35,39,41,42,43,44,46,47,
48,49,50,51,52,54,56,57,58,62,63,64,71,72,96,104,105,106,108,121,122,129,130,
131,132,135,152,161,162,168,170,173,176,178,181,186,188,189,193,198,200,201,
210,213,214,215,217,221,225,226,228,230,232,251,256,262,266,268,269,270,280,
290,292,318,323,329,332,343,345,349,351,355,357,358,360,369,372,374,377,378,
387,392,395,397,414,429,434,435,444,445,450,454,456,477,479,480,490,492,497,
499,500,520,522,523,527,531,548,553,555,565,566,568,570,572,579,582,584,588,
590,615,633,637,638,647,652,654,664,666,699,738,756,766,775,797,804,806,818,
849,874,879,880,882,887,892,968,976,1013,1015,1016,1039],[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,60,62,63,64,67,68,69,
70,71,72,73,74,75,80,83,85,86,87,89,91,92,93,95,96,98,104,105,106,107,109,110,
111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,152,153,154,155,156,157,158,159,160,
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,
218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,236,237,240,244,
246,251,253,254,256,259,261,262,265,266,267,268,269,270,273,280,283,285,288,
290,292,295,296,301,307,308,309,310,311,314,316,318,323,324,327,328,329,332,
335,338,343,345,346,347,349,351,352,353,355,357,358,359,360,361,362,363,364,
365,369,371,372,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,
389,390,398,399,400,401,406,407,408,409,410,411,412,413,414,415,416,417,418,
419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,442,
443,444,445,447,449,450,451,452,453,454,456,457,458,459,461,462,464,465,466,
468,469,472,473,474,475,477,478,479,480,481,483,484,486,487,488,489,490,491,
492,493,494,495,497,498,499,500,501,504,505,506,507,508,509,510,511,512,513,
516,518,519,520,521,522,523,524,525,526,527,530,531,533,534,535,537,538,539,
540,542,543,544,546,547,548,549,553,554,555,556,557,558,559,562,563,564,565,
566,567,568,569,570,571,572,573,575,576,578,579,580,581,582,584,585,587,588,
589,590,593,594,596,602,603,605,608,609,610,611,615,617,622,623,628,630,633,
635,636,637,638,639,641,642,643,644,645,646,647,648,649,652,653,654,655,656,
657,658,660,661,663,664,666,667,668,669,673,675,676,678,681,682,683,684,685,
686,687,688,689,690,691,700,701,702,703,704,705,706,707,708,709,710,711,712,
713,714,715,716,717,718,719,720,724,726,731,736,737,738,739,740,741,742,743,
744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,766,770,771,
772,775,780,786,787,789,791,792,794,796,797,801,802,804,806,807,808,816,818,
819,822,823,826,827,828,831,832,833,834,843,845,847,848,849,850,852,853,854,
855,856,858,859,860,862,863,864,866,867,868,871,872,873,874,875,876,879,880,
881,882,883,884,885,886,887,888,889,890,891,892,893,895,896,897,898,899,901,
903,905,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,
924,925,926,927,932,937,942,943,944,946,948,949,952,954,957,958,961,968,969,
971,972,973,974,975,977,978,979,980,981,982,983,990,991,992,1005,1017,1018,
1019,1020,1021,1022,1023,1040],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,
50,51,52,53,54,55,56,57,58,60,62,63,64,67,68,69,70,71,72,73,74,75,80,83,85,86,
87,89,91,92,93,95,96,98,104,105,106,107,108,116,117,118,119,120,121,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,152,153,154,
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,
231,232,236,237,240,244,246,251,253,254,256,259,261,262,265,266,267,268,269,
270,273,280,283,285,288,290,292,295,296,301,307,308,309,310,311,314,316,318,
323,324,327,328,329,332,335,338,343,345,346,347,349,351,352,353,355,357,358,
359,360,361,362,363,364,365,369,371,372,374,375,376,377,378,379,380,381,382,
383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,413,414,415,416,
417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,
436,442,443,444,445,447,449,450,451,452,453,454,456,457,458,459,461,462,464,
465,466,468,469,472,473,474,475,477,478,479,480,481,483,484,486,487,488,489,
490,491,492,493,494,495,497,498,499,500,501,504,505,506,507,508,509,510,511,
512,513,516,518,519,520,521,522,523,524,525,526,527,530,531,533,534,535,537,
538,539,540,542,543,544,546,547,548,549,553,554,555,556,557,558,559,562,563,
564,565,566,567,568,569,570,571,572,573,575,576,578,579,580,581,582,584,585,
587,588,589,590,593,594,596,602,603,605,608,609,610,611,615,617,622,623,628,
630,633,635,636,637,638,639,641,642,643,644,645,646,647,648,649,652,653,654,
655,656,657,658,660,661,663,664,666,667,668,669,673,675,676,678,681,682,683,
684,685,686,687,688,689,690,691,693,694,695,696,697,698,699,737,738,739,740,
741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,
766,770,771,772,775,780,786,787,789,791,792,794,796,797,801,802,804,806,807,
808,816,818,819,822,823,826,827,828,831,832,833,834,843,845,847,848,849,850,
852,853,854,855,856,858,859,860,862,863,864,866,867,868,871,872,873,874,875,
876,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,895,896,897,
898,899,901,903,904,937,942,943,944,946,948,949,952,954,957,958,961,968,969,
971,972,973,974,975,976,1005,1010,1011,1012,1013,1014,1015,1016,1033,1034,
1035,1036,1037,1038,1039,1041],[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,
97,98,99,100,101,102,103,104,105,106,107,110,112,113,116,117,118,119,120,121,
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,
388,389,390,398,399,400,401,402,403,404,405,411,413,414,415,416,417,418,419,
420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,
439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,
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,
686,687,688,689,690,691,692,701,702,703,704,706,709,711,714,718,721,722,723,
724,725,726,727,728,729,730,731,732,733,734,735,737,738,739,740,741,742,743,
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,
896,897,898,899,900,901,902,903,905,906,910,911,924,928,929,930,931,932,937,
938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,
957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,
978,979,981,984,985,986,987,988,989,1005,1006,1007,1008,1009,1022,1024,1025,
1026,1027,1032,1042],[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,
955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,
974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,
993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,
1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,
1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,
1040,1041,1042,1043]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[
1,1,1,1,1],[1,3,1],[1,3,1],[1,3,1],[1,3,1],[1,1,1,1,1],[1,1,2,1],[1,1,1,1,1],[
1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,2,1,1],[1,1,1,1,
1],[1,1,1,1,1],[1,3,1],[1,3,1],[1,3,1],[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],[1,2,1,1],[1,1,2,1],[1,2,1,1],[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,
1,1],[1,1,2,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1],[1,1,1,1,1],[1,1,1,1,
1],[1,1,1,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[
1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,
1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[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],[1,1,1,1,1],[1,1,1,1,1],[1,
1,1,1,1],[1,1,2,1],[1,1,1,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,1,1,1],[
1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,1,1,1],[1,2,1,1],[1,1,1,1,1],[
1,2,1,1],[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],[1,3,
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],[1,1,3,3,1,3,
3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[
1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,
3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,1,1,4,1,2,2,2,1],[1,1,1,1,4,1,2,2,2,1],[1,1,1,5,2,1,2,2,1],[1,5,1,1,2,
1,2,2,1],[1,1,1,1,4,1,2,2,2,1],[1,1,2,2,1,1,1,1,1,2,1,1,1],[1,1,2,1,1,2,1,1,1,
1,2,1,1],[1,1,5,1,2,1,2,2,1],[1,1,1,2,1,2,1,1,2,1,1,1,1],[1,1,1,1,4,1,2,2,2,
1],[1,1,1,4,1,1,2,2,2,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,
1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,
1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,
1,3,3,1],[1,2,1,4,1,1,2,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,
2,1],[1,1,1,1,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,2,1,2,2,1,1,1,2,2,1],[1,2,1,
2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,1,2,1],[1,1,1,1,2,2,1,1,1,
2,2,1],[1,1,1,1,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,2,3,2,1,1,1,2,2,1],[1,1,1,
1,2,2,1,1,1,2,2,1],[1,1,1,1,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,1,2,1],[
1,1,1,1,2,2,1,1,1,2,2,1],[1,3,1,2,1,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,
1,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,4,1,2,1,1,1,2,2,1],[1,1,1,
1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,2,1,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,
1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,2,1,4,1,1,2,1,2,1],[1,1,2,1,2,1,1,2,
1,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,2,1,2,2,1,1,1,2,
2,1],[1,1,1,2,2,1,2,1,1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,2,2,1,2,1,1,1,2,1],[1,1,
2,1,1,2,1,2,1,1,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[
1,1,1,1,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,2,1,2,2,
1,1,1,2,2,1],[1,1,1,1,1,2,1],[1,2,3,2,1,2,1,1,2,1],[1,2,1,2,2,1,1,1,2,2,1],[1,
4,1,2,1,1,1,2,2,1],[1,4,2,1,1,1,1,2,2,1],[1,2,2,3,1,1,2,1,2,1],[1,1,1,1,2,2,1,
1,1,2,2,1],[1,1,1,1,1,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,1,2,1,2,2,1,1,1,2,1],[
1,1,2,1,2,1,1,2,1,1,2,1],[1,2,3,2,1,2,1,1,2,1],[1,1,2,2,1,1,1,2,1,1,2,1],[1,3,
1,3,1,1,2,2,1,1],[1,1,1,1,2,2,2,1,1,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,
2,2,1,1,1,2,2,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,2,4,1,1,1,2,1,2,1],[1,1,1,
1,1,2,1],[1,1,1,1,1,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,2,1,2,2,1,1,1,2,2,1],[1,
1,1,1,2,2,1,1,1,2,2,1],[1,1,3,2,1,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,2,
2,3,1,2,1,1,2,1],[1,1,1,2,3,1,1,1,2,2,1],[1,3,3,1,1,1,2,1,2,1],[1,2,1,2,2,1,1,
1,2,2,1],[1,1,2,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,1],[1,1,3,3,1,2,2,1,1,
1],[1,1,1,1,2,2,2,1,1,1,2,1],[1,2,3,2,1,1,2,1,2,1],[1,1,3,1,2,1,1,1,1,1,1,1,
1],[1,1,2,1,2,1,1,1,1,1,1,1,1,1],[1,1,1,3,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,3,1,1,1,1,1,1,1,1,
1],[1,1,1,2,3,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,
1,1,1,1,1,1,1,1],[1,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,2,1,2,1,2,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,3,1,2,1,1,1,1,1,1,1,1],[1,1,1,2,1,2,2,1,1,1,1,1,1],[1,1,4,1,
1,1,1,1,1,1,1,1,1],[1,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,2,
1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,4,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,4,1,1,1,1,1,1,1,1,
1],[1,1,3,1,2,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,3,1,1,1,1,1,1,1,1,1],[
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,2,2,1,1,1,1,1,1,1,1,
1],[1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,2,3,1,
1,1,1,1,1,1,1],[1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,
1,1],[1,3,2,1,1,1,1],[1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,1,4,1,1,1,1,1,1,1,1,
1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,3,1,1,1,1,1,1,1,1,1,1,
1],[1,1,2,2,1,1,2,1,1,1,1,1,1],[1,1,1,1,4,1,1,1,1,1,1,1,1],[1,1,1,2,3,1,1,1,1,
1,1,1,1],[1,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1,1,1,
1,1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[1,1,1,3,1,1,1,1,1,1,1,1,
1,1],[1,1,2,2,1,1,1,1],[1,1,3,2,1,1,1,1,1,1,1,1,1],[1,1,1,2,2,1,1,1,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,1,2,1,3,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,3,
1,1,1,1,1,1,1,1],[1,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,3,2,1,1,1,1,1,1,1,1,1],[1,1,
2,1,2,1,1,1,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,2,3,1,1,1,1,
1,1,1,1],[1,1,2,1,3,1,1,1,1,1,1,1,1],[1,1,2,3,1,1,1,1,1,1,1,1,1],[1,1,3,1,1,1,
1,1,1,1,1,1,1,1],[1,3,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,1],[1,
1,2,3,1,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,2,1,1,1,1,1,1,1,1,
1],[1,1,1,4,1,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,
1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,2,1,
2,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,2,1,1,1,1,2,1,1],[1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,4,1,1,1,1,1,1,1,1,1,1],[1,2,1,1,1,1,1],[1,1,1,1,2,2,
1,1,1,1,1,1,1,1],[1,1,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,1,1,1,1,1,1,1,1],[1,
1,3,1,2,1,1,1,1,1,1,1,1],[1,3,1,2,1,1,1,1,1,1,1,1,1],[1,2,1,1,1,1,1],[1,1,2,1,
1,2,1,1,1,1,2,1,1],[1,1,1,2,2,1,2,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,1,3,2,1,
1,1,1,1,1,1,1],[1,1,1,1,2,2,1,1,1,1,2,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,2,1,1,
1,1,1,1],[1,1,2,1,3,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,
1,3,1,1,1,1,1,1,1,1],[1,1,2,1,2,1,1,1,1,1,2,1,1],[1,1,3,2,1,1,1,1,1,1,1,1,1],[
1,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,1,3,2,1,1,1,1,1,
1,1,1],[1,1,1,1,4,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,3,2,1,1,1,1,1,1,1,1,
1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,
1,1,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,2,2,1,1,1,1,1,1,1,1,1],[1,1,1,1,
1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,
2,1,2,1,1,1,1],[1,1,1,1,2,2,1,1,1,1,2,1,1],[1,3,2,1,1,1,1],[1,2,1,2,1,1,1,1],[
1,3,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,
1,1,1,1],[1,2,1,1,1,1,1],[1,2,1,1,1,1,1],[1,1,1,2,3,1,1,1,1,1,1,1,1],[1,1,2,2,
2,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,1,4,1,
1,1,1,1,1,1,1],[1,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,4,1,1,1,1,1,1,1,1,1],[
1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,
1,1,1,1],[1,1,1,4,1,1,1,1,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,1,
1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,3,4,1,1],[
1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,4,1,1],[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],[1,1,3,3,1,3,1,1,1,1],[1,1,3,
3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,3,3,1,3,1,1,1,
1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,3,3,1],[1,5,5,5,5,5,5,
5,5,5,5,5,5,5,1],[1,3,3,6,3,2,1,1,1,3,3,3,3,6,6,6,3,3,3,6,1],[1,1,1,1,3,3,3,3,
1,1,3,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,
3,6,1,1,1,3,3,3,3,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,
1],[1,1,2,2,5,5,2,1,1,5,2,1,1,2,2,6,2,2,4,4,2,1,1,1,2,2,2,2,2,1],[1,1,1,2,1,2,
4,4,1,1,2,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,1,6,1,6,2,2,1,1,
6,1,1,1,6,6,2,2,4,2,2,1,1,1,2,2,2,2,1],[1,1,2,2,1,1,4,4,1,1,1,2,1,1,2,2,2,2,2,
2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,1,1,2,4,4,1,1,1,1,2,1,2,2,2,2,2,2,4,4,4,
4,1,1,1,2,2,2,2,2,2,1],[1,1,1,2,1,2,1,1,2,1,1,1,4,1,2,2,2,1],[1,1,2,2,1,1,1,1,
1,2,1,1,4,1,2,2,2,1],[1,1,1,2,1,2,4,4,1,1,2,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,
2,2,2,2,2,1],[1,1,1,2,1,2,1,1,2,1,1,1,4,1,2,2,2,1],[1,1,2,5,5,2,2,1,1,1,5,2,1,
6,2,2,2,2,4,4,2,1,1,1,2,2,2,2,2,1],[1,1,2,1,1,2,1,1,1,1,2,1,4,1,2,2,2,1],[1,1,
5,2,5,2,2,1,1,2,1,5,1,2,2,6,2,2,4,4,2,1,1,1,2,2,2,2,2,1],[1,1,6,6,1,1,2,2,1,1,
1,6,1,1,2,6,2,6,4,2,2,1,1,1,2,2,2,2,1],[1,1,2,2,1,1,4,4,1,1,1,2,1,1,2,2,2,2,2,
2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,1,1,2,1,1,1,1,2,1,4,1,2,2,2,1],[1,1,2,1,
1,2,4,4,1,1,1,1,2,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,6,1,1,6,2,2,
1,1,1,1,6,1,2,6,6,2,4,2,2,1,1,1,2,2,2,2,1],[1,1,2,2,1,1,1,1,1,2,1,1,4,1,2,2,2,
1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,3,3,1],[1,3,3,3,3,3,1,
1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,
3,3,3,1,1,1,3,3,3,3,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,3,
3,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,3,3,1],[1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,3,1,1,1,2,1,2,2,2,1,
1,1,1],[1,1,1,2,3,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,4,4,4,1,1,1,1,1,1,1,4,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,
1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,2,1,1,2,2,2,2,1,1,1,2,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,3,1,4,1,2,1,2,2,
2,1,2,2,1,1,1,2,2,1],[1,1,1,5,2,2,2,1,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,1,1,1,1,1,
1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,1],[1,5,5,4,1,1,1,1,2,2,3,1,3,4,1,4,2,8,2,1,2,2,2,1,2,1,2,2,1],[1,7,3,2,3,3,
1,2,2,1,1,1,2,2,5,5,4,4,2,2,1,2,2,1,1,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,
1,1],[1,5,1,4,5,1,1,1,2,2,1,3,3,4,4,1,8,2,2,2,1,2,2,1,1,2,2,2,1],[1,1,2,2,1,1,
1,1,1,2,1,1,2,2,1,1,1,2,2,1],[1,1,2,2,1,1,1,1,1,2,1,1,2,2,1,1,1,2,2,1],[1,3,7,
2,3,3,1,2,2,1,2,5,1,5,1,2,2,4,4,2,2,2,1,1,1,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,
2,1,1,1,1],[1,1,2,2,1,1,2,2,2,2,1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,1,4,1,2,2,1,2,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,1,1,1,
2,2,6,2,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,3,
2,1,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,5,2,2,2,1,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,5,1,
1,2,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,3,
3,1,1,1,2,1,2,2,2,1,1,1,1],[1,1,3,3,2,2,2,2,1,3,3,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,2,2,
1,1,1,2,2,2,2,1,1,1,1],[1,1,5,4,5,1,1,1,2,2,3,4,4,3,1,1,2,2,8,2,2,2,2,1,1,1,2,
2,1],[1,1,1,5,2,2,2,1,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,1,5,1,2,2,2,1,1,2,1,2,2,2,
2,1,1,1,2,2,1],[1,1,2,1,1,2,2,2,2,2,1,1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,3,4,1,2,
2,2,2,1,2,1,2,1,1,1,2,2,1],[1,1,3,2,1,4,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,3,1,
3,4,1,1,2,2,2,2,2,1,2,1,1,1,2,2,1],[1,3,1,2,1,4,1,1,2,2,1,2,2,2,2,1,1,1,2,2,
1],[1,5,1,1,2,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,
1,1],[1,1,3,3,1,3,3,2,2,1,1,1,2,2,1],[1,3,1,2,1,4,1,1,2,2,2,1,2,2,2,1,1,1,2,2,
1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,2,1,1,1,1,1,2,1,1,2,2,1,1,1,2,2,
1],[1,3,1,3,4,1,2,2,1,2,2,2,1,2,1,1,1,2,2,1],[1,5,1,1,2,2,2,1,1,1,2,2,2,2,2,1,
1,1,2,2,1],[1,3,3,1,4,1,2,2,2,1,2,1,2,2,1,1,1,2,2,1],[1,1,1,2,3,4,1,1,2,1,2,2,
2,2,2,1,1,1,2,2,1],[1,1,1,2,1,2,1,1,2,1,1,1,2,2,1,1,1,2,2,1],[1,3,1,3,1,1,2,2,
1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,2,2,1],[1,1,1,2,3,1,1,
1,2,2,2,2,1,1,1,1],[1,1,5,1,2,2,2,1,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,1,1,1,4,4,4,
1,1,1,1,1,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,5,1,1,2,2,2,1,
1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,3,3,4,1,2,2,2,2,2,1,1,2,1,1,1,2,2,1],[1,1,1,5,
2,2,2,1,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,3,3,1,2,2,1,1,2,2,1,1,1,1],[1,1,1,2,1,
2,1,1,2,1,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,2,
2,2,6,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,5,2,
5,2,1,1,2,3,5,2,2,3,1,1,2,2,4,4,2,1,1,2,1,1,1,1,2,1,2,2,1],[1,1,5,1,2,2,2,1,1,
2,1,2,2,2,2,1,1,1,2,2,1],[1,1,1,4,1,2,2,1,2,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,1,
4,1,2,2,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,4,4,3,3,1,1,1,3,4,1,1,1,1,2,2,2,2,
3,2,4,4,1,1,1,1,2,1,1,1,2,2,2,1],[1,5,1,1,2,2,2,1,1,2,1,2,2,2,2,1,1,1,2,2,1],[
1,1,1,4,1,2,2,1,2,1,2,2,1,2,2,2,1,1,1,2,2,1],[1,1,1,5,2,2,2,1,2,1,2,1,2,2,2,1,
1,1,2,2,1],[1,1,1,2,1,2,2,2,2,2,1,1,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,2,2,2,2,1,3,3,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,2,2,1,1,
1,2,2,2,2,1,1,1,1],[1,1,3,3,1,3,3,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,
1,1,1,1],[1,1,2,2,1,1,1,1,1,2,1,1,2,2,1,1,1,2,2,1],[1,1,1,2,1,2,2,2,2,2,1,1,2,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,3,3,4,1,
1,1,1,3,4,1,2,2,2,1,3,1,2,4,4,2,1,1,1,2,1,2,1,1,1,2,2,1],[1,1,3,2,1,1,1,1,2,2,
2,2,1,1,1,1],[1,3,3,1,4,1,1,2,2,2,2,1,2,2,1,1,1,2,2,1],[1,1,4,3,3,4,1,1,1,1,3,
4,1,2,1,1,2,2,3,2,4,2,4,1,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,1,2,1,2,2,
1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,1,2,1,2,2,1,1,1,2,2,1],[1,1,3,2,1,4,1,1,1,2,2,
2,2,2,2,1,1,1,2,2,1],[1,1,2,1,1,2,1,1,1,1,2,1,2,2,1,1,1,2,2,1],[1,1,1,1,6,2,2,
2,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,2,6,
2,2,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,3,3,2,
2,2,2,1,3,3,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,3,3,
1,2,2,1,1,2,2,1,1,1,1],[1,1,1,1,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,
1,1,1,2,2,2,2,2,2,1],[1,1,1,5,2,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,4,4,3,3,
1,1,1,3,4,1,1,2,2,2,1,1,3,2,4,4,2,1,1,1,1,2,2,1,1,1,2,2,1],[1,1,5,1,2,2,2,1,1,
1,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,2,1,1,1,1,
2,2,2,2,1,1,1,1],[1,1,2,2,5,5,1,1,3,5,2,2,2,1,3,2,2,1,4,2,4,1,1,1,1,1,1,2,2,1,
2,2,1],[1,1,1,4,1,2,2,1,2,1,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,3,4,3,4,1,1,1,4,1,3,
1,2,3,1,2,2,1,2,4,2,4,1,1,1,2,2,1,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,
1,1],[1,1,3,3,1,2,2,1,1,2,2,1,1,1,1],[1,1,1,2,3,4,1,1,2,2,2,1,2,2,2,1,1,1,2,2,
1],[1,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,2,2,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,3,4,1,2,2,2,2,
1,1,2,2,1,1,1,2,2,1],[1,1,3,2,1,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,2,3,4,1,1,2,1,2,
2,2,2,2,1,1,1,2,2,1],[1,3,1,2,1,4,1,1,2,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,
1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,4,4,4,1,1,
1,1,1,1,1,2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,3,3,2,7,3,1,2,2,5,
2,1,5,1,2,1,4,2,4,2,2,2,1,1,1,2,2,2,1],[1,1,1,2,3,1,1,1,2,2,2,2,1,1,1,1],[1,1,
1,2,3,1,1,1,2,2,2,2,1,1,1,1],[1,3,1,2,1,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,3,1,2,2,
1,1,2,2,1,1,1,1],[1,1,1,2,1,2,1,1,2,1,1,1,2,2,1,1,1,2,2,1],[1,1,2,5,5,2,1,1,5,
2,3,3,1,2,2,2,2,1,2,4,4,1,1,1,1,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,
1,1,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,5,1,2,2,2,1,2,1,1,2,2,2,2,1,1,
1,2,2,1],[1,1,1,2,3,4,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,3,1,4,1,2,1,2,2,1,2,
2,2,1,1,1,2,2,1],[1,3,1,2,1,4,1,1,2,2,1,2,2,2,2,1,1,1,2,2,1],[1,1,3,3,4,1,2,2,
2,2,1,2,1,2,1,1,1,2,2,1],[1,1,3,2,1,4,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,1,3,
4,1,2,1,2,2,2,2,1,2,1,1,1,2,2,1],[1,3,1,2,1,1,1,1,2,2,2,2,1,1,1,1],[1,3,3,1,1,
1,2,1,2,2,2,1,1,1,1],[1,3,3,1,1,1,2,1,2,2,2,1,1,1,1],[1,3,1,3,1,1,2,2,1,2,2,1,
1,1,1],[1,1,5,1,2,2,2,1,2,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,
1,1,1,1],[1,1,3,2,1,4,1,1,2,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,1,4,1,2,2,1,2,1,2,2,
1,2,2,2,1,1,1,2,2,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,3,4,3,4,1,1,1,4,
1,3,1,1,3,2,2,2,2,1,2,4,4,1,1,1,1,2,2,1,1,1,2,2,1],[1,3,1,3,1,1,2,2,1,2,2,1,1,
1,1],[1,1,1,2,1,2,1,1,2,1,1,1,2,2,1,1,1,2,2,1],[1,3,1,3,4,1,2,1,2,2,2,2,1,2,1,
1,1,2,2,1],[1,3,1,2,1,1,1,1,2,2,2,2,1,1,1,1],[1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,
1],[1,1,2,1,1,2,1,1,1,1,2,1,2,2,1,1,1,2,2,1],[1,1,3,3,1,3,3,2,2,1,1,1,2,2,1],[
1,1,1,1,2,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,1,1,2,2,2,2,2,1,1,1,1,2,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,3,1,2,1,1,1,1,2,2,2,2,1,1,1,
1],[1,5,1,1,2,2,2,1,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,3,1,3,1,1,2,2,1,2,2,1,1,1,
1],[1,1,2,1,3,5,3,1,1,2,1,1,1,1,1,1,3,3,1,2,1,1,2,1,2,1,1,1,2,1,1,2,1,1,1,1,1,
1,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,2,2,1,1,1,1,4,1,1,2,1,1,1,1,1,1,1,3,1,1,1,1,
1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,2,2,1,2,1,1,1,1,
2,2,2,2,1,1,1,1,1,1,1,1],[1,2,3,2,2,2,1,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[
1,1,1,1,3,3,3,3,1,1,1,1,1,1,1,1,2,1,1,1,3,1,1,1,1,1,1,1,1,1,2,3,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,1,2,1,2,2,1,2,1,1,1,1,2,2,1,2,1,1,1,1,1,1,
1,1,1],[1,2,1,3,3,5,1,1,1,1,1,2,1,1,1,1,1,2,3,1,1,2,1,1,2,3,2,1,1,1,1,2,1,1,1,
1,1,1,1,1,1,1,1,1,2,1,1],[1,1,2,3,5,3,1,1,1,1,1,2,1,2,2,2,1,3,1,3,2,1,1,1,1,1,
1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1],[1,1,1,1,4,2,2,4,1,1,1,1,1,1,1,1,2,
1,1,1,1,1,1,1,1,1,4,1,1,1,2,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,3,
3,3,3,1,1,3,1,1,3,1,3,1,1,1,3,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,
1],[1,1,2,5,3,1,3,1,1,2,1,1,2,1,1,3,1,1,3,1,1,1,1,1,2,2,1,1,1,2,2,1,1,1,1,2,1,
1,1,1,1,1,1,1,1,1,1],[1,2,3,2,2,2,1,1,2,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,2,
1,4,2,2,1,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,2,1,3,3,1,5,1,1,2,1,1,1,1,2,
1,3,1,1,1,2,1,2,1,1,3,1,1,2,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,2,2,3,2,2,
1,2,1,1,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,2,6,1,1,2,2,2,1,1,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,
5,1,1,5,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,5,1,3,1,3,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,3,3,2,2,1,3,3,1,1,2,1,2,1,1,1,1,1,1,1,1,1],[1,2,2,3,2,2,1,2,
1,1,1,1,2,1,2,1,2,1,1,1,1,1,1,1,1],[1,3,3,6,3,1,1,1,1,1,4,1,1,4,4,1,1,1,1,4,4,
4,1,1,1,1,1,1,1,1,1,1,1,1,3,1],[1,1,3,3,2,2,1,3,3,1,1,2,2,2,1,1,1,1,1,1,1,1],[
1,1,1,1,2,2,4,4,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,4,1,1,3,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,5,5,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,
1,5,2,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,3,3,3,3,1,1,1,1,1,1,
1,1,2,1,1,1,2,3,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,3,3,2,2,1,3,1,1,3,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,5,5,1,1,1,1,1,1,1,
1,1,1,5,1,3,1,1,2,2,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,
1,2,2,2,1,1,1,1,1,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,2,2,1,1,1,1,4,1,2,
1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,1,1,6,2,2,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,4,2,2,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,
1,1,1,1,4,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,1,5,1,3,3,1,1,1,2,
1,1,1,1,1,1,1,1,1,2,3,1,1,2,3,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,2,
3,2,2,2,1,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1],[1,4,1,2,2,2,1,1,1,1,1,2,2,1,2,
1,2,1,1,1,1,1,1,1,1],[1,2,1,1,5,3,3,1,1,1,2,1,1,2,1,1,1,3,2,3,1,1,2,2,1,1,1,1,
2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1],[1,1,1,1,3,3,3,3,1,1,1,1,1,2,1,3,1,1,2,
1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,
2,6,2,2,1,1,2,2,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,1,1,3,3,3,3,1,1,1,1,1,1,3,1,1,1,1,1,2,1,1,1,1,1,1,1,
1,3,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,1,1,3,1,2,
1,2,1,1,1,1,1,1,1,1],[1,2,1,1,3,3,5,1,1,2,1,1,1,1,1,2,1,1,1,1,2,2,1,2,1,3,2,1,
1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1],[1,2,1,4,2,2,1,1,1,1,2,1,2,2,2,1,1,1,1,
1,1,1,1,1,1],[1,1,1,1,2,2,6,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,
1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,3,3,3,3,1,1,1,1,1,1,3,1,1,
1,1,1,1,1,1,1,1,1,3,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,2,
3,2,2,2,1,2,1,1,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,1,1,3,3,3,3,1,1,1,1,1,1,3,
1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,1,1,2,1,2,2,2,2,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,3,1,1,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,2,2,1,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,
2,1,4,2,2,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,2,2,3,2,2,1,1,1,2,1,1,2,1,
2,2,1,1,1,1,1,1,1,1,1],[1,1,1,1,2,4,4,2,1,1,1,1,1,1,3,1,1,1,1,2,4,1,1,1,1,1,1,
1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,1,3,1,2,2,
2,1,1,1,1,1,1,1,1],[1,1,1,2,1,2,2,2,2,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
1,2,2,1,2,2,2,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,2,3,2,2,2,1,1,2,1,1,1,2,
2,2,1,1,1,1,1,1,1,1,1,1],[1,2,1,4,2,2,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[
1,1,2,1,2,1,2,2,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,4,2,1,2,2,1,1,1,1,1,
2,1,2,2,1,2,1,1,1,1,1,1,1,1],[1,2,4,1,2,2,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,
1],[1,2,3,2,2,2,1,1,1,1,2,1,2,2,1,2,1,1,1,1,1,1,1,1,1],[1,2,1,3,1,5,3,1,1,1,2,
1,3,1,1,1,1,1,1,1,2,2,2,1,3,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1],[1,1,
1,1,2,4,4,2,1,1,1,1,1,1,1,1,1,2,4,1,1,1,1,3,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,2,3,2,2,2,1,1,1,2,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,
1,3,3,2,2,1,3,1,1,3,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,1,2,2,1,2,2,2,1,1,1,1,1,2,2,
2,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,2,2,2,1,1,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1,
1],[1,1,3,3,2,2,1,3,1,1,3,2,1,2,1,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,1,1,3,1,1,
2,2,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[
1,2,1,5,3,3,1,1,1,1,1,2,3,1,2,1,3,1,1,1,1,1,1,2,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,2,1,1],[1,1,3,3,2,2,1,3,1,3,1,2,2,1,1,1,1,1,1,1,1,1,1],[1,2,4,1,2,2,
1,1,1,1,2,1,2,1,2,2,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,5,1,5,1,1,1,1,1,1,1,1,5,1,3,
1,2,1,1,1,1,1,1,1,3,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,
1,1,3,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,1,3,1,2,1,1,2,1,1,1,1,1,1,1,1],[
1,1,2,3,1,3,5,1,1,1,1,2,1,1,3,1,3,1,1,1,1,1,1,2,1,2,2,1,2,1,1,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,2,1],[1,1,1,2,2,1,2,2,2,1,1,1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,
1,1,2,2,2,2,2,1,1,1,1,1,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,3,1,1,2,2,
1,1,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,1,1,3,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,
1,5,5,1,1,1,1,1,1,1,1,1,3,1,2,1,1,1,2,5,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,1,1,4,2,4,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,4,2,3,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,4,4,1,1,1,1,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,1,4,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,3,
2,2,1,3,1,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,2,4,2,1,1,1,1,1,2,1,1,1,1,1,1,
1,1,1,1,1,1,4,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,2,2,
2,2,2,1,1,1,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,1,1,3,2,2,2,1,1,1,
1,1,1,1,1],[1,2,1,3,5,1,3,1,1,1,2,1,1,1,1,2,1,2,3,1,1,1,2,1,2,2,1,1,1,1,1,3,1,
1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,2,1,2,1,2,2,1,2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,
1,1,1],[1,1,1,1,2,4,2,4,1,1,1,1,1,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,3,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,5,1,5,1,1,1,1,1,1,1,1,2,1,1,1,1,1,
1,1,5,2,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,2,2,1,2,2,2,1,
1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,2,2,1,2,1,1,1,1,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,3,3,2,2,1,3,1,1,3,2,1,1,2,1,1,1,1,1,1,1,1],[1,4,1,2,2,2,1,1,1,
2,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1],[1,2,3,2,2,2,1,1,2,1,1,1,1,2,1,2,2,1,1,1,1,1,
1,1,1],[1,4,2,1,2,2,1,1,1,1,1,2,1,2,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,2,1,2,2,1,
2,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1,1,1],[1,2,2,3,2,2,1,1,1,1,2,1,2,2,2,1,1,1,1,1,
1,1,1,1,1],[1,4,1,2,2,2,1,1,1,1,2,1,2,2,1,2,1,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,2,
2,1,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,3,2,2,1,3,1,1,3,1,1,2,2,1,1,1,1,
1,1,1,1],[1,1,1,1,2,4,2,4,1,1,1,1,1,4,1,1,3,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,
1],[1,1,1,1,1,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,5,5,
5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,
1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[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],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[
1,1,3,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,
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],[1,3,6,4,
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],[1,3,6,4,1,3,
3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,
3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,
3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,
3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,
3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,
3,4,1,1,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[
1,1,10,10,5,5,5,5,5,5,5,10,5,5,5,5,10,5,5,15,10,15,10,20,10,5,5,5,5,5,5,5,5,
10,5,10,5,5,10,5,5,10,5,5,10,10,10,10,1,5,5,5,5,5,5,1],[1,1,10,5,5,10,5,5,5,5,
5,5,10,5,10,5,5,5,15,5,15,10,20,10,10,5,5,5,5,5,10,5,5,5,5,10,5,10,5,10,5,5,5,
5,10,10,10,10,1,5,5,5,5,5,5,1],[1,1,5,10,5,10,5,5,5,5,10,5,5,5,5,15,15,5,10,
10,5,5,10,10,20,5,5,5,5,5,5,5,10,10,5,10,5,5,5,5,5,5,5,10,10,10,10,10,1,5,5,5,
5,5,5,1],[1,1,9,6,9,6,2,4,1,1,3,3,6,6,3,9,3,9,3,3,9,12,6,6,9,9,18,18,12,2,1,1,
4,3,3,3,3,3,6,9,6,6,6,6,6,9,3,3,3,3,6,3,3,6,6,6,12,6,6,12,1,3,3,3,3,6,3,3,6,
1],[1,1,6,9,9,6,2,1,1,4,3,3,3,9,6,6,3,12,6,9,9,9,3,9,3,6,12,18,18,2,1,1,4,3,3,
3,6,3,6,3,9,9,6,3,3,6,6,6,6,6,3,3,3,3,6,6,6,6,12,12,1,3,3,3,3,3,3,6,6,1],[1,1,
6,6,9,9,2,1,4,1,3,6,3,9,6,3,3,9,9,6,12,9,9,3,6,3,18,12,18,2,1,4,1,3,3,3,6,6,3,
3,6,6,3,3,6,6,3,9,3,3,6,3,9,6,12,6,6,6,6,12,1,3,3,3,3,3,6,3,6,1],[1,1,1,6,1,6,
4,4,2,2,1,1,6,1,1,1,2,2,2,6,2,6,2,2,2,2,4,4,4,4,4,4,2,2,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,2,5,5,4,4,2,1,1,5,2,1,1,2,2,2,
2,2,2,6,2,2,2,2,4,4,4,4,4,4,4,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,
1,1,1,2,2,2,2,4,1],[1,1,2,5,5,2,4,4,2,1,1,1,5,2,1,2,6,2,2,2,2,2,2,2,2,2,4,4,4,
4,4,4,4,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,
1,1,6,1,6,4,4,2,2,1,1,6,1,1,1,2,6,6,2,2,2,2,2,2,2,4,4,4,4,4,4,2,2,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,5,2,5,2,4,4,2,1,1,2,1,
5,1,2,2,2,2,2,2,2,6,2,2,2,4,4,4,4,4,4,4,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,5,5,2,4,4,2,1,1,1,5,2,1,2,6,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,
2,4,1],[1,1,6,6,1,1,4,4,2,2,1,1,1,6,1,1,2,2,2,2,2,2,2,6,2,6,4,4,4,4,4,4,2,2,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,6,6,1,1,4,4,
2,2,1,1,1,6,1,1,2,2,2,2,2,2,6,2,2,6,4,4,4,4,4,4,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,
3,4,4,1,1,1,3,3,3,3,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,2,5,5,4,4,
2,1,1,5,2,1,1,2,2,2,2,6,2,2,2,2,2,2,4,4,4,4,4,4,4,2,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,1,1,3,3,3,3,4,4,4,4,1,1,3,3,3,3,3,
3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,1,1,1,3,1,1,1,3,3,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,1],[1,1,6,1,1,6,4,4,2,2,1,1,1,1,6,1,2,2,2,2,2,2,6,6,2,2,4,4,4,4,
4,4,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,1,
1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,1,1,1,3,3,3,3,2,2,2,2,2,2,4,4,4,4,1,1,
1,2,2,2,2,2,2,1],[1,1,6,1,1,6,4,4,2,2,1,1,1,1,6,1,2,2,2,2,2,6,2,2,6,2,4,4,4,4,
4,4,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,1,
1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,1,1,1,3,3,3,3,2,2,2,2,2,2,4,4,4,4,1,1,
1,2,2,2,2,2,2,1],[1,1,1,1,7,7,7,7,1,1,2,2,2,3,3,7,3,7,7,7,7,3,7,3,6,6,6,6,6,6,
6,6,6,12,12,12,1,1,1,2,2,2,2,2,2,2,2,2,7,1,1,3,3,1,3,1,2,2,2,2,2,6,6,6,6,2,2,
2,2,6,6,2,6,2,6,2,2,2,2,2,2,6,2,4,4,4,4,4,4,1,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,1],[1,1,5,2,5,2,4,4,2,1,1,2,1,5,1,2,2,2,2,2,2,6,2,2,2,2,4,4,4,4,4,4,4,2,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,3,3,6,6,6,
6,1,3,3,1,1,1,1,3,3,3,3,6,3,3,6,3,3,6,6,6,3,3,3,3,6,3,3,3,6,6,3,6,3,6,6,3,3,6,
3,3,3,3,3,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,
3,6,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,1],[1,1,3,3,6,6,6,6,1,
3,3,1,1,1,1,3,3,3,3,3,6,3,6,3,3,6,6,6,6,6,3,3,3,3,6,3,3,3,6,6,3,6,3,3,3,6,3,3,
3,3,3,1,1,1,1,1,3,3,3,3,3,3,3,3,3,6,3,6,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,6,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,1],[1,1,3,3,1,3,3,6,6,1,3,
3,6,6,3,1],[1,1,3,3,1,3,3,6,6,1,3,3,6,6,3,1],[1,1,3,3,1,3,3,6,6,1,3,3,6,6,3,
1],[1,1,3,3,6,6,6,6,1,3,3,1,1,1,1,3,3,3,3,6,3,3,6,3,3,6,6,6,3,3,3,3,6,3,3,3,6,
3,6,3,6,3,6,3,6,3,3,3,3,3,6,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,6,3,3,3,3,3,3,3,6,3,3,3,3,3,6,3,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,1],[
1,5,1,4,5,4,1,1,1,2,2,2,1,3,2,3,4,2,4,1,2,8,2,2,2,2,1,2,1,1,2,2,1,1,1,1,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,1,1,4,4,4,2,1,1,1,1,1,1,2,1,2,4,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
5,1,4,4,4,2,1,1,1,2,1,1,1,2,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,1,2,2,6,2,2,1,2,1,1,1,2,1,1,2,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,5,5,5,4,5,2,2,5,2,5,5,5,5,5,2,2,2,1,1,5,1,1,5,5,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,4,3,3,4,4,4,1,1,1,1,3,4,1,2,2,2,2,2,1,1,2,2,2,3,2,2,4,2,4,4,4,
4,4,2,2,1,1,1,1,2,1,2,2,1,2,1,2,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,2,2,2,2,1],[1,1,4,4,3,3,4,4,1,1,1,3,4,1,1,2,2,2,2,2,2,2,2,1,1,2,3,2,2,4,
4,4,2,4,4,2,4,1,1,1,1,2,2,1,2,2,1,1,2,2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,5,1,2,6,2,2,2,1,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,1,
1,2,6,2,2,2,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,4,4,4,1,1,1,1,3,4,1,2,2,2,
2,2,2,2,1,3,2,2,1,2,4,2,4,4,4,2,4,4,2,1,1,1,1,2,1,2,2,2,1,2,1,1,1,2,1,2,2,1,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,4,1,2,6,2,2,1,2,2,1,1,2,
1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,2,2,2,2,1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,2,1,1,1,2,1,1,1,1,2,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,1,2,2,
2,6,2,1,2,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,5,2,2,2,6,2,1,2,1,1,2,1,2,1,1,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,2,2,5,5,2,2,2,2,2,1,1,5,2,1,1,2,2,1,1,6,1,2,2,1,2,4,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,1,1,1,1,1,1,2,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,2,2,2,2,1],[1,1,2,2,1,1,4,4,1,1,1,2,1,1,2,2,2,2,2,2,2,4,2,4,4,2,2,4,
1,1,1,2,2,1,2,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,4,8,4,8,1,1,1,
2,1,1,2,2,2,3,3,3,1,1,3,2,1,1,2,4,8,4,2,6,4,2,2,6,2,2,4,2,4,4,2,2,4,4,2,2,4,4,
2,2,4,6,4,4,2,2,2,2,2,4,6,1,1,1,2,2,3,1,1,1,3,2,1,1,1,2,1,1,1,2,2,1,2,2,2,2,2,
2,2,2,4,4,2,4,2,4,4,2,2,2,2,2,4,2,2,2,2,4,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,4,
4,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,1],[1,1,1,4,1,4,4,4,1,1,1,2,
1,1,2,2,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,5,1,1,2,2,2,6,2,1,2,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,
1,1,8,4,8,4,1,1,1,2,1,1,2,2,2,2,1,1,1,3,3,1,3,3,6,2,4,2,2,2,2,2,2,2,2,4,2,4,2,
4,4,2,4,4,2,8,4,6,6,2,6,4,4,2,2,4,4,4,4,2,2,1,1,1,2,2,1,3,1,1,2,1,2,1,1,1,1,2,
1,1,2,3,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
4,2,4,4,2,2,4,4,2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,1],[1,1,2,
2,5,5,2,2,2,2,2,1,1,5,2,1,1,2,1,2,6,1,1,2,2,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
2,1,1,1,1,1,2,1,1,1,1,1,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,1],[1,1,6,6,1,1,2,2,2,2,2,2,1,1,1,6,1,1,1,2,1,1,1,6,2,6,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,1,5,4,4,4,2,1,1,1,1,2,1,2,1,1,2,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,4,3,
4,4,4,1,1,1,4,1,3,1,2,2,3,2,1,2,2,2,2,2,1,2,2,4,2,4,4,4,4,4,2,2,1,1,1,1,1,2,1,
2,2,2,2,2,2,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
1,4,1,4,4,4,1,2,1,1,2,1,1,2,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,1,1,6,2,2,2,2,2,2,1,1,1,1,6,1,
1,2,1,1,6,1,6,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,1,1,1,1,1,2,1,1,2,2,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,5,5,2,2,2,2,2,2,
1,1,1,5,2,1,6,1,2,2,1,1,2,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,
2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,
1,1,2,2,2,2,2,1,1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,1,1,2,1,1,2,1,
1,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,4,5,4,1,1,1,2,2,3,2,2,4,2,4,3,1,
1,2,2,2,8,2,2,1,1,2,2,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,5,
2,2,6,2,2,1,2,1,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,6,1,6,2,2,2,2,2,2,1,1,6,1,1,1,1,
1,1,6,6,2,1,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,1,1,1,1,1,2,1,2,1,2,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,3,3,4,4,4,1,1,1,1,
3,4,1,2,2,1,2,1,2,2,2,2,2,2,3,2,4,4,2,4,4,4,4,2,2,1,1,1,1,2,1,2,2,1,1,2,2,2,1,
2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,1,1,2,2,6,2,2,
1,2,1,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,1,4,4,4,2,1,1,1,1,1,2,1,2,1,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,
1,1,4,4,4,2,1,1,1,1,1,1,2,1,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,5,4,1,4,1,1,1,2,2,3,2,2,2,1,3,4,1,
4,2,2,8,2,2,2,1,1,1,2,2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,6,
1,1,2,2,2,2,2,2,1,1,1,6,1,1,1,2,1,1,6,2,1,6,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,1],[1,1,1,2,1,2,4,4,1,1,2,1,1,1,2,2,2,2,2,2,4,4,4,4,2,2,2,2,1,1,1,1,2,2,1,1,
1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,5,5,4,5,5,5,2,2,5,2,5,5,5,2,2,2,1,1,5,
1,1,5,5,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,2,2,2,2,1,1,1,2,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,1,1,1,1,2,1,2,1,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,3,3,2,7,4,3,1,2,2,5,2,2,1,2,5,2,1,2,1,2,4,2,4,2,2,1,2,2,1,2,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,1,4,5,4,1,1,1,2,2,2,1,3,2,3,4,4,2,1,8,
2,2,2,2,2,1,2,1,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,3,6,3,4,
2,1,1,1,3,3,2,3,2,3,2,6,6,2,2,6,2,1,1,3,1,1,3,3,2,2,2,2,2,2,6,1,1,1,1,1,1,1,
1],[1,1,1,4,1,2,2,6,2,1,2,1,1,2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,4,1,4,4,4,1,2,1,1,
1,2,1,2,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,1,5,2,6,2,2,2,1,2,1,2,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,1,
6,2,2,2,2,1,2,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,1,1,6,2,2,2,2,1,2,1,1,1,1,1,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,1,4,1,6,2,2,2,1,2,1,1,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,5,6,2,2,2,2,
1,2,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,7,2,3,4,3,1,2,2,1,2,5,2,2,1,2,5,1,2,2,2,4,2,
4,2,1,2,2,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,4,1,2,2,2,6,
1,2,2,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,4,1,1,1,1,3,4,1,2,2,2,1,3,1,2,4,4,2,
4,2,2,1,1,1,2,1,2,2,1,2,1,1,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,4,1,1,1,
1,3,4,1,2,2,2,1,3,1,2,4,4,4,2,2,2,1,1,2,1,1,2,2,1,2,1,1,2,1,1,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,2,1,1,2,2,2,2,2,1,1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,
2,1,2,1,1,1,2,1,1,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,2,2,2,2,1,
1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,1,1,2,1,1,2,1,1,1,1,2,1,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,5,2,5,2,2,2,2,2,2,1,1,2,1,5,1,1,1,2,1,2,6,1,2,2,2,
4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,1,2,2,1,2,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,5,5,4,1,4,1,1,1,2,2,2,3,1,2,3,4,1,2,
4,2,8,2,2,2,2,1,1,1,2,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,2,
1,2,2,2,2,2,1,1,2,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,2,2,1,1,
2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,4,4,1,1,1,1,2,1,2,2,2,2,2,2,
4,2,4,2,4,4,2,2,1,1,1,1,2,1,2,1,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,4,3,
4,1,1,1,4,1,3,1,1,3,2,2,2,2,1,4,2,4,4,2,2,1,1,1,1,2,1,2,2,2,1,1,1,2,1,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,1,6,1,6,2,2,2,2,2,2,1,1,6,1,1,1,6,1,6,1,1,2,2,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,2,1,1,1,1,1,2,1,1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,5,2,5,2,2,2,2,2,2,1,1,2,1,5,1,2,1,1,2,1,6,
2,1,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,2,1,1,1,2,1,2,2,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,1,2,1,2,2,2,2,2,1,1,2,1,1,
1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,1,2,1,2,2,2,2,2,1,1,2,1,1,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,2,2,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,5,5,2,2,2,
2,2,2,1,1,1,5,2,1,1,1,6,1,2,2,2,1,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,1,1,1,1,
1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,6,1,1,6,2,2,2,2,2,2,1,1,1,1,6,1,1,1,1,2,6,1,6,2,2,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,2,1,1,1,1,1,1,2,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,4,4,3,3,4,4,1,1,1,3,4,1,1,2,2,2,2,2,2,2,1,1,2,3,2,2,4,2,4,4,
2,4,4,4,2,1,1,1,1,2,2,2,1,1,2,1,2,2,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,1],[1,5,5,4,1,4,1,1,1,2,2,3,1,2,2,3,2,4,1,4,2,8,2,2,2,2,1,1,2,
2,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,1,4,4,4,2,1,1,1,2,1,1,
1,1,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,5,1,1,4,4,4,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,2,1,2,4,4,1,
1,2,1,1,1,2,2,2,2,2,2,4,2,4,4,4,2,2,2,1,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,1,5,4,4,4,2,1,1,1,2,1,1,2,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,5,4,4,4,2,1,1,1,
2,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,1,4,1,4,4,4,1,1,1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,4,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,1,4,
4,4,2,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,1,1,4,4,4,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,7,3,2,3,4,3,1,2,2,2,2,1,2,1,1,2,2,5,5,2,4,4,2,2,2,2,1,1,1,2,2,1,1,1,1,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,4,4,1,1,1,2,1,1,2,2,2,2,2,2,4,2,2,2,
4,4,4,2,1,1,1,2,2,2,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,4,5,4,1,1,1,
2,2,3,4,4,2,3,2,1,2,1,2,2,2,2,8,2,1,1,2,2,2,1,1,2,1,1,1,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,2,1,1,2,4,4,1,1,1,1,2,1,2,2,2,2,2,2,2,2,4,4,4,4,2,2,1,1,1,1,2,
1,2,1,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,3,3,4,4,1,1,1,3,4,1,1,1,2,2,
1,2,2,2,2,2,2,2,2,3,2,4,4,4,4,2,4,2,4,1,1,1,1,2,2,2,1,2,1,1,2,1,1,1,2,2,1,2,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,4,4,3,3,4,4,1,1,1,3,4,1,1,
2,2,1,1,2,2,2,2,2,2,2,2,3,4,2,4,2,4,4,4,4,2,1,1,1,1,2,2,2,1,2,1,1,2,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,3,2,3,4,3,1,2,2,1,1,
2,2,1,2,2,2,5,5,4,4,2,2,2,2,1,2,1,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,2,2,5,5,2,1,1,5,2,1,1,2,2,6,2,2,2,4,2,2,4,2,2,1,1,1,2,1,2,1,2,1,1,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,2,1,2,8,4,4,8,1,1,2,1,1,1,2,2,1,3,3,2,3,1,3,
1,2,1,2,2,2,4,2,6,2,4,4,4,2,2,4,4,2,4,2,2,4,4,2,4,2,2,4,6,8,2,2,4,4,6,4,2,2,6,
2,1,1,1,2,2,2,1,3,1,1,2,2,2,1,3,1,1,1,1,1,1,4,2,2,2,2,4,4,2,2,2,4,2,2,2,2,2,4,
2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,4,2,2,4,2,4,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,
1,1,2,2,2,2,2,4,2,2,2,2,2,1],[1,1,4,4,3,3,1,1,1,3,4,1,1,2,2,2,1,1,3,2,4,4,2,2,
2,4,1,1,2,1,2,1,1,2,2,1,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,3,3,1,1,1,3,
4,1,1,2,2,2,1,1,3,2,4,4,2,2,2,4,1,1,2,1,2,2,1,1,2,2,1,1,1,1,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,6,6,1,1,2,2,1,1,1,6,1,1,2,6,2,6,2,4,2,2,2,2,2,1,1,1,1,2,1,2,1,1,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,3,3,1,1,1,3,4,1,1,1,1,2,2,2,2,3,2,2,4,2,4,
4,1,1,2,1,2,1,1,2,1,1,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,4,3,3,1,1,1,3,4,
1,1,1,1,2,2,2,2,3,2,2,4,2,4,4,1,1,2,1,2,2,1,1,2,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,1,5,4,4,4,2,1,1,2,1,1,1,2,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,2,5,2,2,1,1,2,1,5,1,2,
2,6,2,2,4,4,2,2,2,2,2,1,1,1,1,2,2,2,1,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,3,
6,3,4,2,1,1,1,3,3,2,2,2,3,3,2,6,6,6,2,2,1,1,3,1,1,3,3,2,2,2,2,2,2,6,1,1,1,1,1,
1,1,1],[1,3,7,2,3,4,3,1,2,2,1,2,2,2,2,5,1,5,1,2,2,4,2,4,2,2,2,1,2,1,1,2,1,1,1,
1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,2,2,2,2,1,1,1,1,2,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,1,1,1,2,1,2,1,1,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,5,5,4,1,4,1,1,1,2,2,2,3,1,2,3,2,4,1,4,2,2,8,2,2,2,1,1,1,1,2,2,1,2,1,2,
1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,4,3,4,4,4,1,1,1,4,1,3,1,2,2,2,2,2,3,
1,2,2,2,2,1,2,4,2,4,4,4,4,4,2,2,1,1,1,1,1,2,1,2,2,2,2,2,2,1,1,2,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,7,3,2,3,4,3,1,2,2,2,1,1,2,1,2,2,5,
2,5,4,4,2,2,2,2,2,1,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,
2,1,2,2,2,2,2,1,1,2,1,1,1,1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,2,1,1,2,1,
1,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,5,5,2,2,1,1,1,5,2,1,6,2,2,2,2,2,
4,2,4,2,2,2,1,1,1,1,2,2,1,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,4,3,4,1,1,
1,4,1,3,1,2,3,1,2,2,1,2,4,4,2,2,4,2,1,1,1,2,2,2,1,2,1,1,1,2,1,1,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,4,3,3,4,4,4,1,1,1,1,3,4,1,2,2,2,2,2,2,2,2,1,3,1,2,2,2,4,4,2,4,
4,4,4,2,1,1,1,1,2,2,1,2,2,2,1,2,1,1,1,2,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,2,2,2,2,1],[1,1,2,2,1,1,2,2,2,2,1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,1,2,1,1,1,1,1,1,2,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,1,1,2,
2,2,2,1,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,2,1,2,1,1,1,1,2,1,
1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,1,4,5,4,1,1,1,2,2,2,2,1,2,3,3,4,4,1,2,8,2,
2,2,2,1,2,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,5,5,5,4,5,2,5,
5,2,5,5,5,2,5,2,2,2,1,1,1,1,5,5,5,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,4,3,4,1,
1,1,4,1,3,1,2,3,1,2,2,1,2,4,2,4,2,4,2,1,1,1,2,2,2,1,2,1,1,2,1,1,1,2,2,2,2,1,1,
1,1,1,1,1,1],[1,5,5,5,4,5,2,5,5,2,5,2,5,5,5,2,2,2,1,1,5,1,1,5,5,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,3,4,3,4,4,4,1,1,1,4,1,3,1,2,1,2,2,3,2,2,2,2,2,2,2,1,2,4,4,
2,4,4,4,4,2,1,1,1,1,2,1,2,1,2,2,2,1,2,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,2,2,2,2,1],[1,3,3,2,7,4,3,1,2,2,2,2,5,2,2,1,5,1,2,1,4,2,2,2,4,2,2,1,
2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,8,8,4,4,1,1,1,
1,2,1,2,2,1,3,1,1,2,2,1,3,3,3,4,8,2,4,4,2,6,4,4,2,2,6,6,2,2,4,4,2,2,2,2,6,4,2,
2,2,4,2,4,4,2,2,4,2,4,2,4,1,1,1,2,2,2,1,1,3,2,1,1,1,1,1,1,1,2,1,3,2,2,2,2,2,4,
2,2,2,2,4,2,2,2,2,4,2,2,4,2,2,2,4,2,2,2,4,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,4,2,
2,2,4,2,4,2,2,1,1,1,1,1,1,1,2,2,2,4,2,2,2,2,2,2,2,1],[1,1,1,2,1,2,4,8,8,4,1,1,
2,1,1,1,2,2,3,1,1,1,3,1,2,2,3,3,2,4,6,2,2,4,2,6,4,4,4,2,4,6,8,2,4,2,4,2,6,2,2,
2,4,4,2,2,2,4,4,2,2,2,4,4,2,1,1,1,2,2,2,1,1,3,2,1,2,2,1,1,1,1,1,3,1,1,2,2,2,2,
4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,4,4,2,2,2,4,2,2,4,2,2,4,2,2,4,2,4,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,1],[1,7,3,2,3,4,3,1,2,2,2,
1,1,2,1,2,2,2,5,5,2,4,4,2,2,2,1,2,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,6,1,1,6,2,2,1,1,1,1,6,1,2,6,6,2,2,4,2,2,2,2,2,1,1,1,2,1,2,1,2,2,1,
1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,4,1,1,1,1,3,4,1,2,1,1,2,2,3,2,2,4,2,2,4,
4,1,1,2,2,1,1,2,2,1,2,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,4,3,3,4,1,1,1,1,3,
4,1,2,1,1,2,2,3,2,2,4,2,2,4,4,1,1,2,2,1,1,2,2,1,1,2,1,1,1,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,5,4,5,4,1,1,1,2,2,2,3,4,4,3,2,1,1,2,2,2,2,8,2,2,1,2,2,2,1,2,1,1,1,1,
1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,4,3,4,1,1,1,4,1,3,1,1,3,2,2,2,2,1,2,
4,4,4,2,2,1,1,1,1,1,2,2,2,2,1,2,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,7,2,3,4,3,
1,2,2,2,1,2,5,2,1,2,5,1,2,2,4,2,2,4,2,1,2,1,2,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,3,3,6,3,4,2,1,1,1,3,2,3,3,2,3,2,6,6,2,6,2,2,1,3,1,1,1,3,3,2,
2,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,3,2,7,4,3,1,2,2,2,5,2,1,2,5,2,1,2,1,4,2,2,4,
2,2,1,2,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,5,4,5,4,1,1,1,
2,2,2,3,4,4,3,2,1,2,1,2,2,2,2,8,2,1,2,2,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,3,3,2,7,4,3,1,2,2,2,5,2,1,2,5,1,2,2,1,2,4,2,2,4,2,2,1,2,2,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,7,2,3,4,3,1,2,2,2,1,2,5,2,1,5,1,
2,2,2,2,4,4,2,2,1,2,1,2,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,3,
4,3,4,4,4,1,1,1,4,1,3,1,2,1,3,2,2,2,2,2,2,2,2,2,1,2,4,4,4,4,4,2,4,2,1,1,1,1,2,
1,2,2,1,2,2,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[
1,5,1,4,5,4,1,1,1,2,2,1,2,3,2,3,4,2,4,1,8,2,2,2,2,2,1,2,1,1,2,2,1,1,1,1,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,1,6,1,6,2,2,1,1,6,1,1,1,6,6,2,2,2,4,2,2,2,2,
2,1,1,1,1,2,2,1,2,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,2,4,4,8,8,1,1,1,1,
2,1,2,2,3,1,3,3,2,3,1,1,1,2,4,4,4,2,4,4,4,2,6,2,2,2,2,2,2,4,4,2,4,2,2,2,4,4,2,
2,8,2,6,6,2,2,4,6,2,4,4,1,1,1,2,2,2,1,3,1,1,3,2,1,1,1,1,1,2,2,1,1,2,2,2,2,2,4,
2,2,2,2,2,2,2,2,4,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,4,2,2,2,
4,4,2,2,4,4,1,1,1,1,1,1,1,2,2,2,4,2,2,2,2,2,2,2,1],[1,3,3,6,3,4,2,1,1,1,3,2,3,
3,2,3,2,2,6,6,2,6,2,1,3,1,1,1,3,3,2,2,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,1,2,2,5,5,
2,2,2,2,1,1,3,5,2,1,1,2,1,2,1,3,2,2,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,1,1,
1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,2,2,2,2,1,1,1,1,2,1,1,1,1,1,2,1,1,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,5,2,5,2,2,2,2,2,1,1,2,3,5,2,1,2,1,1,3,1,
1,1,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,1,1,3,3,3,3,2,2,2,2,1,1,3,3,3,3,3,3,1,1,1,3,3,1,3,2,2,2,2,2,2,2,2,2,2,
2,2,2,6,2,1,1,1,3,1,1,1,3,1,1,3,1,1,1,3,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,1,
1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,3,3,3,3,2,2,2,2,1,1,3,3,3,3,3,
3,3,3,1,1,1,1,3,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,3,1,1,1,1,1,1,1,3,3,1,3,2,
2,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,1,1,1,1,1,1,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,6,3,6,3,
2,3,3,2,2,2,2,2,2,2,2,6,3,3,3,3,2,3,3,3,6,2,2,3,2,3,2,6,6,3,2,3,2,3,3,3,3,3,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,
1,1,2,3,2,1,3,1,1,1,1,1,1,1,6,1,1,2,1,1,1,1,3,1,1,1,1,1,1,1,3,1,1,1,3,1,1,1,1,
1,1,1,1,1,1,1,3,2,1,1,1,1,1,3,3,2,2,1,3,3,1,2,1,3,1,1,1,1,1,1,1,1,3,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,3,3,
3,3,2,2,2,2,1,1,3,3,3,3,3,3,1,1,1,3,3,1,3,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
3,1,1,1,1,3,1,1,3,3,1,1,2,2,2,1,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,
1,2,2,2,2,2,2,1,1,1,1],[1,1,2,5,5,2,2,2,2,2,1,1,5,2,3,3,1,1,2,1,2,1,2,2,1,1,2,
2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,2,2,1,1,2,2,
2,1,1,1,1,1,1,1,2,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,
5,5,5,5,1,5,5,5,5,5,5,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,3,6,3,16,2,1,1,
1,3,3,3,3,6,6,6,3,3,3,6,4,4,4,8,1,1],[1,3,3,3,3,3,16,1,1,1,1,1,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,4,4,4,4,4,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,6,6,4,4,4,1,3,3,3,3,
3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,
1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,
1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,
3,3,6,6,4,1,3,3,3,3,3,6,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,
1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,
6,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,6,6,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,3,6,3,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,3,3,6,6,4,1,3,3,3,3,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,
3,6,6,4,1,3,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,
3,3,3,3,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,
6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,6,3,3,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,4,
1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,6,6,4,4,4,1,3,3,3,3,3,
3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,3,6,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[
1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,
1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,
1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,1,1,1,3,3,3,3,1,4,1,1,
1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,1,1,1,3,3,3,3,1,4,1,
1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,
1],[1,15,10,5,6,10,6,5,1],[1,1,1,1,15,15,15,15,1,5,10,10,10,15,15,15,15,15,15,
15,15,15,15,15,30,30,30,30,30,30,30,30,30,60,60,60,5,5,5,10,10,10,10,10,10,10,
10,10,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,5,6,10,10,10,10,15,15,15,
15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,6,6,6,10,10,10,15,
1],[1,1,1,1,3,3,3,3,12,12,12,12,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,6,6,6,6,6,6,
6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,1,1,3,3,3,
3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,3,3,
3,3,3,3,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,3,4,4,4,6,6,6,6,6,6,12,1],[1,1,1,1,3,3,3,3,1,1,3,3,
3,3,3,3,3,3,3,3,3,12,12,1,1,1,3,3,3,3,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,6,6,6,
6,3,4,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,12,12,1,1,1,3,3,3,3,6,6,6,
6,6,6,12,12,12,12,1,3,3,6,6,6,6,6,6,3,4,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,
3,3,3,3,12,12,1,1,1,3,3,3,3,6,6,6,6,6,6,12,12,12,12,1,3,3,6,6,6,6,6,6,3,4,1],[
1,1,1,1,7,7,7,7,1,1,2,2,2,3,3,7,3,7,7,7,7,3,7,3,6,6,6,6,6,6,6,6,6,4,12,12,4,4,
12,4,1,1,1,2,2,2,2,2,2,2,2,2,7,1,1,3,3,1,3,1,2,2,2,2,2,2,2,2,2,2,6,6,2,6,6,2,
2,2,2,2,2,2,6,6,2,6,2,6,2,2,2,2,2,2,2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,
2,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,7,7,7,7,1,1,2,2,2,3,3,7,3,7,7,7,7,3,7,3,6,6,
6,6,6,6,6,6,6,4,12,12,4,12,4,4,1,1,1,2,2,2,2,2,2,2,2,2,7,1,1,3,3,1,3,1,2,2,2,
2,2,2,2,2,2,6,6,2,6,6,2,2,2,2,2,2,2,2,6,6,2,6,2,6,2,2,2,2,2,2,2,2,2,6,2,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,1,2,2,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,7,7,7,7,1,1,2,2,2,
3,3,7,3,7,7,7,7,3,7,3,6,6,6,6,6,6,6,6,6,12,12,4,12,4,4,4,1,1,1,2,2,2,2,2,2,2,
2,2,7,1,1,3,3,1,3,1,2,2,2,2,2,2,2,2,2,2,2,2,6,6,6,6,2,2,2,2,2,2,2,6,6,2,6,2,6,
2,2,2,2,2,2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,2,2,1,1,1,1,1,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[
1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,1,1,1,3,3,3,3,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,1,1,7,7,7,7,4,4,4,4,1,1,2,2,2,3,3,7,3,7,
7,7,7,3,7,3,2,2,6,2,2,6,2,6,2,6,2,2,2,6,6,2,2,6,6,2,6,4,4,12,4,12,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,7,1,1,1,1,1,3,3,
1,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,6,6,2,2,2,
2,2,2,2,2,2,2,2,2,2,6,6,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,2,
2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,1,1,3,3,3,3,4,4,4,4,1,1,3,3,3,3,3,
3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,1,1,1,3,1,1,1,3,3,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,1,1,7,7,7,7,4,4,4,4,
1,1,2,2,2,3,3,7,3,7,7,7,7,3,7,3,2,2,6,2,2,6,2,6,2,6,2,2,2,6,6,2,2,6,6,2,6,4,4,
4,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,1,1,1,2,2,2,2,2,2,2,
2,2,7,1,1,1,1,1,3,3,1,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,
2,2,6,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,1,1,7,7,7,7,4,
4,4,4,1,1,2,2,2,3,3,7,3,7,7,7,7,3,7,3,2,2,6,2,2,6,2,6,2,6,2,2,2,6,6,2,2,6,6,2,
6,4,4,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,1,1,1,2,2,2,2,
2,2,2,2,2,7,1,1,1,1,1,3,3,1,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,6,2,2,2,6,6,6,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,6,2,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,1,1,3,3,
3,3,4,4,4,4,1,1,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,3,1,1,1,3,3,3,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,
1],[1,1,1,1,3,3,3,3,4,4,4,4,1,1,3,3,3,3,3,3,3,3,3,3,3,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,3,1,1,1,3,3,3,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,
1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,
1,2,2,2,2,2,2,1],[1,1,10,10,5,5,4,4,5,5,5,5,5,10,5,5,2,2,5,5,10,2,2,5,5,2,15,
10,2,15,4,2,10,20,2,2,4,4,4,10,2,4,5,5,1,5,1,5,5,2,2,2,2,5,5,2,2,1,2,5,10,5,1,
10,5,5,1,1,10,5,5,10,2,2,5,5,2,2,2,2,2,2,2,2,10,10,2,10,10,2,2,2,4,2,2,2,4,4,
2,2,2,2,2,4,1,5,1,1,1,2,5,5,1,5,1,1,5,1,5,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,
2,1,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,5,5,4,8,4,8,2,
1,1,5,2,1,1,2,2,2,2,3,2,3,3,6,1,1,3,2,2,2,1,1,2,2,4,4,8,4,2,2,6,4,2,2,6,2,2,4,
2,4,4,2,2,4,4,2,2,2,4,4,2,2,4,6,4,4,4,2,2,2,2,2,4,2,4,6,2,1,1,1,1,1,2,2,3,1,1,
1,2,3,2,1,2,2,1,1,1,1,1,2,1,2,1,2,1,2,1,2,2,2,1,2,2,2,2,2,2,2,2,2,4,4,2,4,2,2,
4,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,4,4,2,2,2,4,2,2,2,2,2,2,2,
4,4,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,10,5,5,4,4,5,5,5,5,5,10,5,5,5,2,2,5,2,
10,2,2,5,5,2,15,10,15,2,10,4,20,2,4,4,2,10,2,4,4,5,5,1,5,5,5,1,2,2,2,5,2,5,2,
2,1,5,10,5,1,10,5,5,1,1,10,2,2,2,5,5,10,5,5,2,2,2,2,2,10,4,4,2,2,10,2,10,10,4,
2,2,2,2,4,2,2,2,2,2,2,2,2,1,1,1,5,1,5,5,1,5,1,2,1,1,1,1,1,1,1,1,2,1,1,1,2,5,1,
2,1,5,1,1,1,1,1,1,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,1,
1,6,4,4,8,8,2,2,1,1,1,1,6,1,2,2,3,1,3,3,2,2,3,1,6,1,1,6,2,2,4,4,2,4,4,2,2,4,4,
4,2,6,2,2,2,2,2,2,4,4,2,4,4,2,2,2,4,4,2,2,8,2,6,6,2,2,4,6,2,4,2,2,4,2,2,1,1,1,
1,1,2,2,2,1,2,2,1,1,3,1,1,2,1,3,2,1,1,1,2,1,1,1,2,2,2,2,2,1,1,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,4,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,4,4,2,
2,2,2,2,2,4,2,2,2,2,4,2,4,2,2,4,2,2,2,4,2,4,2,4,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,2,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,6,1,1,4,8,4,8,2,2,1,1,1,6,1,
1,2,2,2,3,3,2,3,1,1,3,2,1,6,2,1,6,2,2,4,8,4,4,2,2,6,4,2,2,6,2,2,4,2,4,4,2,2,4,
4,2,2,2,4,4,2,2,4,6,4,4,2,2,2,2,2,4,2,4,6,2,2,1,1,1,1,1,2,2,3,1,2,1,1,3,1,2,1,
1,1,1,1,2,1,2,1,1,2,2,1,2,2,2,2,2,1,2,2,2,2,2,2,2,2,4,4,2,4,2,2,4,4,2,2,2,2,2,
2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,4,2,2,2,2,4,4,2,2,2,4,2,2,2,2,2,2,2,4,4,4,2,2,2,
2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,
1,1,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,1,6,6,9,9,4,4,2,1,4,1,3,6,3,9,6,3,3,9,2,2,9,2,6,2,12,2,9,
9,2,3,6,3,2,18,4,12,2,4,4,2,18,2,4,4,2,1,4,1,1,3,3,1,3,6,2,2,2,6,3,2,3,2,6,2,
2,1,6,3,3,1,6,6,3,9,1,1,2,2,3,3,6,3,9,6,12,2,2,2,2,2,6,4,4,2,2,6,2,6,6,2,2,2,
2,4,4,2,2,2,2,2,2,12,2,2,1,3,1,1,1,2,3,1,2,3,1,1,1,1,1,1,1,1,1,3,1,1,3,1,6,1,
2,1,2,3,1,1,1,1,1,1,2,6,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
6,6,9,9,4,4,2,1,4,1,3,6,3,9,6,3,3,2,2,9,9,6,12,2,2,9,9,2,3,6,2,3,4,2,18,12,2,
2,4,4,4,18,2,4,2,1,4,1,1,3,1,3,3,6,2,2,2,6,2,3,3,6,2,1,2,6,3,3,1,6,6,3,9,1,1,
2,3,3,6,2,2,3,9,6,2,2,2,2,12,2,2,2,2,6,6,2,6,6,2,2,2,2,2,2,4,12,2,2,2,2,4,4,4,
2,1,3,1,1,1,3,1,1,3,1,2,1,1,1,2,3,1,2,3,6,1,1,3,1,1,1,2,1,1,1,1,1,1,1,1,1,2,6,
2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,5,5,8,4,8,4,2,1,1,5,
2,1,1,2,2,2,2,2,1,2,1,1,6,3,3,1,2,2,3,3,6,2,4,2,4,2,2,2,2,2,2,2,2,2,4,2,4,2,4,
4,2,4,4,2,2,8,4,6,6,2,6,4,4,4,2,2,4,4,4,4,2,2,4,2,2,1,1,1,1,1,2,2,1,3,2,1,1,2,
1,2,2,1,1,1,1,1,1,1,2,1,2,2,1,2,1,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,
2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,4,4,2,2,4,4,2,2,2,4,2,
2,2,2,2,2,2,2,2,4,2,2,4,2,2,4,4,4,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,
1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,6,1,1,8,4,8,4,2,2,1,1,1,6,1,1,2,2,2,2,1,1,2,1,
3,3,1,3,6,2,3,6,6,2,2,4,2,4,2,2,2,2,2,2,2,2,4,2,4,2,4,4,2,4,4,2,2,8,4,6,6,2,6,
4,4,2,2,4,4,4,4,2,2,4,2,2,2,1,1,1,1,1,2,2,1,3,1,1,2,2,1,2,1,2,1,1,1,1,1,1,2,1,
2,1,2,2,1,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,4,4,2,2,4,4,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,4,2,
4,4,2,2,2,4,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,1,9,6,9,6,4,4,2,4,1,1,3,3,6,6,3,9,3,2,9,3,3,2,9,2,2,12,6,2,6,9,2,9,18,18,4,
4,4,4,4,2,12,2,2,2,2,1,1,4,1,3,1,3,3,3,2,1,3,6,2,2,9,2,2,2,6,2,6,6,6,1,6,9,3,
3,2,1,3,1,3,2,6,3,3,6,6,4,4,4,4,6,2,2,12,6,6,2,2,2,2,2,2,2,2,2,2,12,2,2,2,2,2,
2,2,2,1,1,1,3,3,3,3,1,1,2,2,1,6,2,1,1,3,1,1,2,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,
6,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,6,1,6,8,4,4,8,2,2,
1,1,6,1,1,1,2,2,1,3,3,2,6,3,6,1,3,2,1,2,2,1,2,2,2,4,4,2,6,2,4,4,4,2,2,4,4,2,4,
2,2,4,2,4,2,4,2,2,4,6,8,2,2,4,4,4,6,4,2,2,6,2,2,2,2,2,2,1,1,1,1,1,2,2,1,2,1,3,
1,2,1,1,1,2,1,2,2,2,2,2,1,2,3,1,2,1,1,1,1,1,2,4,2,2,2,2,4,4,2,2,2,4,4,2,2,2,2,
2,4,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,4,2,2,4,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1,2,2,1,1,1,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,2,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,5,2,5,2,8,4,4,8,2,1,1,2,1,5,1,2,2,1,3,2,3,2,3,
1,2,3,6,1,2,2,1,2,2,4,4,2,4,2,4,2,6,2,4,4,4,2,2,4,4,2,4,2,2,4,2,4,2,4,2,2,4,6,
8,2,2,4,4,6,4,2,2,6,2,2,2,2,2,1,1,1,1,1,2,2,1,2,1,2,3,2,1,1,1,1,2,1,2,2,2,2,2,
1,2,3,1,2,1,1,1,1,1,2,4,2,2,2,2,4,4,4,2,2,2,4,2,4,2,2,2,2,4,2,2,2,4,2,2,2,2,2,
2,2,4,2,2,2,2,2,2,2,4,2,2,2,4,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,2,4,2,2,2,2,2,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,
2,1,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,5,2,5,2,4,8,8,4,2,1,1,2,1,5,1,2,2,3,1,2,1,1,3,2,1,2,2,6,3,2,3,2,2,4,4,
6,4,2,4,2,4,2,6,4,4,4,2,4,6,8,2,4,2,4,2,6,2,2,2,2,4,4,2,2,2,4,4,2,2,2,4,4,2,2,
2,2,2,1,1,1,1,1,2,2,1,2,1,1,2,3,1,1,1,2,2,1,2,2,2,2,2,1,2,1,1,2,1,1,3,1,1,2,2,
2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,2,2,2,2,4,4,2,4,2,2,4,2,2,2,4,2,2,
2,2,4,2,2,4,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,5,5,2,8,8,4,4,
2,1,1,1,5,2,1,2,2,1,3,6,1,1,2,2,2,2,1,3,2,3,3,2,4,8,2,2,4,4,4,2,2,6,4,4,2,2,6,
6,2,2,4,4,2,2,2,2,6,4,4,2,2,2,4,2,4,4,2,4,2,4,2,4,2,2,2,4,2,1,1,1,1,1,2,2,1,2,
2,1,1,1,3,1,2,2,1,1,1,1,2,1,2,1,1,1,2,2,2,1,3,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,
2,2,2,4,2,2,4,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,4,
2,2,2,2,4,2,2,4,2,2,2,2,4,4,4,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,2,1,1,1,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,1,1,6,8,8,4,4,2,2,1,1,1,1,6,1,2,2,1,3,
1,1,2,2,2,1,3,6,3,3,6,2,4,8,2,4,2,4,4,2,2,6,4,4,2,2,6,6,2,2,4,4,2,2,2,2,6,4,2,
2,2,4,2,4,4,2,2,4,2,4,2,4,2,2,4,2,2,1,1,1,1,1,2,2,2,1,2,1,1,2,1,3,1,2,2,1,1,1,
1,1,2,1,1,1,2,2,2,2,1,3,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,2,2,2,4,2,
2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,2,2,4,4,2,2,2,2,
2,4,2,2,4,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,
1,1,2,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,1,6,1,6,4,8,8,4,2,2,1,1,6,1,1,1,2,2,3,1,1,6,1,6,3,1,2,2,2,3,2,3,2,
4,4,6,2,2,4,2,6,4,4,4,2,4,6,8,2,4,2,4,2,6,2,2,2,2,4,4,2,2,2,4,4,2,4,2,2,4,4,2,
2,2,2,2,2,1,1,1,1,1,2,2,1,2,1,2,1,3,2,1,1,1,2,2,1,2,2,2,1,2,1,1,2,1,1,3,1,1,2,
2,2,2,2,4,4,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,2,2,4,2,2,4,2,4,2,4,2,2,4,2,2,2,4,2,
2,2,2,2,2,4,2,2,4,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,2,2,2,2,2,2,2,
2,2,2,4,2,2,2,2,2,2,4,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,5,5,10,4,4,
5,5,5,5,5,5,10,5,2,10,5,2,5,2,2,5,15,2,2,5,15,10,4,2,20,10,4,2,4,4,10,4,2,2,5,
5,1,1,5,5,5,10,2,1,2,5,2,2,2,5,5,5,10,1,5,10,5,10,2,1,2,1,2,5,5,2,5,5,2,2,2,
10,2,2,2,2,2,10,2,10,10,2,2,2,4,2,2,2,2,4,2,4,4,2,2,2,1,1,1,5,1,1,1,5,5,1,2,1,
1,1,2,2,1,5,1,5,1,1,1,5,1,1,1,2,1,1,1,1,1,1,1,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,1,10,5,5,10,4,4,5,5,5,5,5,5,10,5,2,2,2,10,2,5,5,2,5,15,
5,15,2,10,2,20,10,2,4,4,4,4,4,10,2,2,5,5,5,5,1,5,1,10,2,2,1,2,5,2,2,5,2,5,5,
10,1,5,10,5,2,2,2,10,1,1,5,5,5,5,2,10,2,2,2,2,10,2,2,2,2,4,2,10,10,2,2,2,4,2,
2,2,4,2,2,2,4,2,1,1,1,5,5,5,1,1,2,1,1,1,1,2,2,5,5,1,1,1,1,1,5,1,1,1,1,1,1,1,1,
1,2,1,1,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,5,5,2,4,4,8,
8,2,1,1,1,5,2,1,2,2,3,1,6,3,3,2,2,2,3,1,2,1,1,2,2,4,4,2,4,2,4,2,4,4,4,2,6,2,2,
2,2,2,2,4,4,2,4,2,2,2,4,4,2,2,8,2,6,4,6,2,2,4,6,2,4,4,2,2,4,2,1,1,1,1,1,2,2,1,
2,1,1,2,3,1,1,2,1,3,2,1,1,2,1,2,1,1,1,2,2,2,2,1,1,2,2,2,2,2,2,2,4,2,2,2,2,2,2,
2,2,2,2,4,2,2,2,4,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,2,2,2,2,2,2,
4,2,2,2,2,2,4,2,2,4,2,4,2,2,4,2,4,2,2,2,4,4,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,
1,1,1,2,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,9,9,6,4,4,2,1,1,4,3,3,3,9,6,6,3,2,
12,6,9,2,9,2,2,9,3,2,2,9,3,6,4,2,12,18,4,2,4,4,4,18,2,2,2,1,1,4,1,1,3,3,3,2,2,
1,6,3,2,6,2,2,3,9,9,6,1,3,3,6,2,6,2,1,6,1,2,6,6,3,3,2,3,3,2,2,2,6,2,2,2,2,2,6,
2,6,6,2,12,2,2,2,2,2,2,4,4,4,2,4,2,2,12,2,1,3,1,1,1,3,3,1,1,3,1,2,1,1,1,3,1,1,
3,1,1,2,1,1,1,1,1,1,6,1,1,2,1,1,2,1,6,2,2,4,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,1,5,10,5,10,4,4,5,5,5,5,10,5,5,5,2,5,2,2,15,2,15,5,2,10,2,10,5,
5,10,10,4,4,2,4,4,20,4,2,2,2,5,5,1,5,5,5,1,5,2,1,5,2,10,10,5,2,2,2,2,2,1,10,5,
5,5,2,2,1,5,1,5,5,5,10,4,10,4,10,2,2,2,2,2,2,2,2,10,10,2,2,2,4,2,2,2,2,2,2,2,
2,2,4,1,5,1,1,1,5,5,2,2,1,1,1,1,2,1,1,1,1,5,1,1,1,5,1,1,1,1,2,1,1,1,1,1,5,1,2,
2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,5,10,5,10,4,4,5,5,5,5,
10,5,5,5,2,5,15,15,2,5,2,2,10,2,10,5,2,5,4,10,10,4,4,4,4,2,20,2,2,2,5,5,1,5,1,
5,5,5,2,1,5,2,2,10,2,10,5,2,2,2,1,10,5,5,5,1,5,1,2,5,2,5,5,10,4,10,4,4,4,10,2,
2,10,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,5,1,1,1,5,1,2,1,5,2,1,1,1,1,1,
1,1,1,1,5,1,2,1,5,1,1,2,1,1,1,5,1,1,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,9,6,9,6,4,4,2,4,1,1,3,3,6,6,3,9,3,2,9,2,2,3,2,3,9,2,12,6,2,6,9,
9,4,18,18,4,2,4,4,12,4,2,2,2,2,1,1,4,1,3,3,1,3,3,2,1,3,2,2,6,9,2,2,2,2,6,6,6,
6,1,6,9,3,3,2,1,3,1,2,3,6,3,3,6,4,4,6,4,6,2,2,2,2,2,2,2,2,12,6,6,2,2,2,2,2,2,
2,2,4,2,2,2,12,2,1,1,1,3,1,1,1,3,3,3,1,1,2,1,2,1,1,1,1,1,6,1,1,3,1,1,1,2,1,1,
1,2,3,1,1,1,2,2,2,6,2,2,4,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,9,9,6,
4,4,2,1,1,4,3,3,3,9,6,6,3,2,12,2,2,6,2,9,9,2,9,3,9,3,2,6,2,12,18,2,4,4,4,4,18,
4,2,2,2,1,1,4,1,3,3,1,3,2,1,6,2,2,3,6,2,2,3,2,9,9,6,1,3,3,6,2,2,6,1,2,6,1,6,6,
3,3,3,3,2,6,2,2,2,2,6,2,2,2,2,4,2,6,6,2,12,2,2,4,2,2,12,2,4,4,2,2,2,2,1,1,3,1,
1,1,3,3,1,3,1,1,2,1,1,2,3,1,3,2,1,1,1,1,1,1,1,1,6,1,1,1,2,1,1,1,2,2,6,4,2,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,5,5,5,5,5,5,5,5,5,16,5,5,5,1,1],[
1,3,3,6,3,12,16,2,1,1,1,3,6,3,3,6,3,6,6,6,6,6,6,6,16,3,3,3,3,3,3,3,6,6,6,6,6,
6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,6,6,9,9,16,2,1,4,1,3,6,3,9,6,3,3,
9,9,6,12,9,9,3,6,3,18,12,18,16,2,1,4,1,3,3,3,6,6,3,3,6,6,3,3,6,6,3,9,3,3,6,3,
9,6,12,6,6,6,6,12,4,4,4,8,1,3,3,3,3,3,6,3,6,4,4,4,8,1,1,1],[1,1,6,9,9,6,16,2,
1,1,4,3,3,3,9,6,6,3,12,6,9,9,9,3,9,3,6,12,18,18,16,2,1,1,4,3,3,3,6,3,6,3,9,9,
6,3,3,6,6,6,6,6,3,3,3,3,6,6,6,6,12,12,4,4,4,8,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,
1],[1,3,3,6,3,12,16,2,1,1,1,3,6,3,3,6,3,6,6,6,6,6,6,6,16,3,3,3,3,3,3,3,6,6,6,
6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,9,6,9,6,16,2,4,1,1,3,3,6,6,3,
9,3,9,3,3,9,12,6,6,9,9,18,18,12,16,2,1,1,4,3,3,3,3,3,6,9,6,6,6,6,6,9,3,3,3,3,
6,3,3,6,6,6,12,6,6,12,4,4,4,8,1,3,3,3,3,6,3,3,6,4,4,4,8,1,1,1],[1,3,3,6,3,12,
16,2,1,1,1,3,3,6,6,6,3,3,6,6,6,6,6,6,16,3,3,3,3,3,3,3,6,6,6,6,6,6,6,4,4,4,8,1,
3,3,3,3,3,3,4,4,4,3,1,1],[1,3,3,6,3,12,16,2,1,1,1,3,3,6,3,6,3,6,6,6,6,6,6,6,
16,3,3,3,3,3,3,3,6,6,6,6,6,6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,3,3,6,
6,6,6,16,1,3,3,1,1,1,1,3,3,3,3,6,3,3,6,3,3,6,6,6,3,3,3,3,6,3,3,3,6,3,6,3,6,3,
6,3,6,3,3,3,3,3,6,16,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,6,3,3,3,3,3,3,3,6,3,3,3,3,3,6,3,3,3,3,3,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,
4,4,4,4,4,1,1,1],[1,1,3,3,6,6,6,6,16,1,3,3,1,1,1,1,3,3,3,3,3,6,3,6,3,3,6,6,6,
6,6,3,3,3,3,6,3,3,3,6,6,3,6,3,3,3,6,3,3,3,3,3,16,1,1,1,1,1,3,3,3,3,3,3,3,3,3,
6,3,6,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,
4,4,4,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,1,1,1],[1,1,3,3,6,6,6,6,16,1,3,3,1,1,1,
1,3,3,3,3,6,3,3,6,3,3,6,6,6,3,3,3,3,6,3,3,3,6,6,3,6,3,6,6,3,3,6,3,3,3,3,3,16,
1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,6,3,3,3,
3,3,3,3,6,3,3,3,3,3,3,3,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,1,1,1],[1,1,
3,3,16,1,3,3,6,6,16,1,3,3,6,6,4,3,4,1,1],[1,1,3,3,16,1,3,3,6,6,16,1,3,3,6,6,4,
3,4,1,1],[1,1,3,3,16,1,3,3,6,6,16,1,3,3,6,6,4,3,4,1,1],[1,1,1,1,3,3,3,3,6,6,6,
6,4,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,
1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,
4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[
1,1,1,1,3,3,3,3,6,6,6,6,4,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,4,4,4,4,4,4,4,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,3,3,3,3,6,6,3,6,3,3,
3,3,3,3,3,3,3,3,3,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,
4,3,1,1,1,1,1,1,1,1],[1,1,1,1,3,3,3,3,6,6,6,6,4,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,6,3,
3,3,6,3,3,3,3,3,3,3,3,3,3,6,6,6,3,3,6,3,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,
6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,
1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,
10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,
6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,
5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,
6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,
15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,
10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,
1,1],[1,1,1,1,15,15,15,15,4,4,4,4,1,5,10,10,10,15,15,15,15,15,15,15,15,15,15,
15,2,2,30,2,2,30,2,30,2,30,2,2,2,30,30,2,2,30,30,2,30,4,4,4,60,4,60,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,60,4,4,4,4,4,5,5,5,10,10,10,10,10,10,10,10,10,
15,1,1,15,15,1,15,15,15,15,1,15,30,2,2,2,2,2,2,2,2,2,2,2,30,2,2,2,2,2,30,2,2,
2,30,2,2,2,2,2,2,30,30,2,2,2,30,2,30,30,2,2,2,2,2,2,2,2,30,2,30,30,30,2,2,2,
30,30,30,30,30,30,2,2,2,2,30,2,2,2,2,2,30,2,30,30,30,2,2,2,30,30,30,4,4,4,4,4,
4,4,4,4,4,4,4,4,60,4,4,4,4,4,4,4,4,4,4,60,4,4,4,4,4,4,4,4,4,4,4,60,4,4,4,60,4,
4,60,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,60,4,4,4,4,4,4,4,4,4,
4,4,5,6,10,10,10,10,15,1,15,1,1,1,1,1,1,15,1,15,15,1,1,1,15,1,2,2,2,2,2,2,2,2,
2,30,30,30,2,2,30,2,2,2,2,2,2,2,30,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,30,2,2,2,30,2,2,2,2,2,2,2,2,30,2,2,30,2,2,2,2,2,2,2,30,2,2,30,2,30,2,
2,2,2,2,2,2,30,2,2,2,2,2,30,2,2,2,2,2,2,2,2,2,2,2,2,2,2,30,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,60,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,10,10,10,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,15,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1],[1,1,1,1,7,
7,7,7,4,4,4,4,1,1,2,2,2,3,3,7,3,7,7,7,7,3,7,3,2,2,6,2,2,6,2,6,2,6,2,2,2,6,6,2,
2,6,6,2,6,4,4,4,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,12,
12,4,1,1,1,2,2,2,2,2,2,2,2,2,7,1,1,1,1,1,3,3,1,3,1,1,2,2,2,6,2,2,2,2,2,2,6,2,
2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,6,2,2,2,6,2,6,6,2,6,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,6,6,2,6,2,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,4,4,4,4,4,4,4,4,
4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4,4,4,12,4,4,4,4,4,
4,4,4,4,1,2,2,2,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,6,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,3,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,1,1,1,7,7,7,7,
4,4,4,4,1,1,2,2,2,3,3,7,3,7,7,7,7,3,7,3,2,2,6,2,2,6,2,6,2,6,2,2,2,6,6,2,2,6,6,
2,6,4,4,12,12,4,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,1,
1,1,2,2,2,2,2,2,2,2,2,7,1,1,1,1,1,3,3,1,3,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,6,6,6,2,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,6,
6,2,6,2,6,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,12,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,4,
1,2,2,2,1,1,1,1,1,3,1,1,3,1,1,1,1,1,1,1,1,1,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,2,2,2,2,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,3,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,1,1,1,7,7,7,7,4,4,4,4,
1,1,2,2,2,3,3,7,3,7,7,7,7,3,7,3,2,2,6,2,2,6,2,6,2,6,2,2,2,6,6,2,2,6,6,2,6,4,4,
4,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,12,4,12,4,4,4,1,1,1,2,2,
2,2,2,2,2,2,2,7,1,1,1,1,1,3,3,1,3,1,1,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,6,2,2,2,
2,2,2,2,6,6,2,2,2,2,6,2,2,2,6,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,6,2,6,2,
6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,1,2,2,
2,1,1,1,1,1,1,1,1,1,1,3,1,1,1,3,1,1,1,6,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,
2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,1,1,1,1,1,3,1,1,1,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,1],[1,1,1,1,7,7,7,7,12,12,12,12,1,
1,2,2,2,3,3,7,3,7,7,7,7,3,7,3,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,12,12,4,12,12,12,12,12,12,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,12,
1,1,1,2,2,2,2,2,2,2,2,2,7,3,3,1,1,3,3,3,1,3,3,1,4,4,4,4,4,4,4,4,4,4,4,4,2,6,6,
2,6,6,6,6,2,6,2,6,2,6,2,6,2,6,2,6,6,6,2,2,2,2,6,6,6,2,6,6,6,6,6,2,6,6,6,2,2,2,
6,6,6,2,2,6,2,2,2,6,2,6,6,6,2,6,2,6,6,6,2,2,2,2,2,6,6,6,2,6,2,2,2,6,6,6,2,6,2,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,12,12,12,12,4,12,12,4,
12,12,4,12,12,12,4,12,4,4,4,12,12,4,12,12,12,12,12,12,4,12,12,4,12,4,12,12,4,
12,4,12,4,12,12,4,4,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,12,12,4,12,12,12,
4,12,12,12,12,4,4,12,12,12,12,4,12,12,4,12,12,12,12,12,4,12,12,12,12,4,12,4,4,
12,12,4,12,4,4,4,12,4,12,4,4,4,4,4,4,4,4,4,12,12,12,4,12,4,4,12,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,1,2,2,2,1,3,1,3,3,1,1,3,1,1,1,1,1,3,1,3,1,1,4,4,4,4,4,2,6,
6,2,2,6,2,2,6,2,2,2,2,6,2,6,2,2,2,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,6,2,2,2,2,2,6,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,6,2,2,2,2,2,2,2,6,6,6,6,2,2,2,
2,2,2,2,2,2,6,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,
12,12,4,4,12,4,12,12,12,12,12,4,4,12,4,12,12,4,4,4,12,12,12,4,12,4,12,12,12,
12,4,4,12,12,12,12,4,12,4,12,12,4,12,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,12,12,4,4,
4,4,4,4,4,12,4,4,12,4,4,12,4,4,4,4,12,12,12,4,12,4,4,12,4,12,12,4,4,4,4,4,4,4,
4,4,4,4,12,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,6,6,2,6,4,4,4,4,12,4,4,1,1,1,
1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1],[1,1,10,10,5,5,5,5,5,5,5,10,5,5,5,5,10,5,5,
15,10,15,10,20,10,16,5,5,5,5,5,5,5,5,10,5,10,5,5,10,5,5,10,5,5,10,10,10,10,16,
1,5,5,5,5,5,5,1,1,1],[1,1,5,10,5,10,5,5,5,5,10,5,5,5,5,15,15,5,10,10,5,5,10,
10,20,16,5,5,5,5,5,5,5,10,10,5,10,5,5,5,5,5,5,5,10,10,10,10,10,16,1,5,5,5,5,5,
5,1,1,1],[1,5,5,5,20,5,10,10,5,10,5,5,5,5,5,10,10,10,16,5,5,5,5,5,5,5,10,10,
10,10,10,10,16,1,5,5,5,5,5,5,5,1,1],[1,1,10,5,5,10,5,5,5,5,5,5,10,5,10,5,5,5,
15,5,15,10,20,10,10,16,5,5,5,5,5,10,5,5,5,5,10,5,10,5,10,5,5,5,5,10,10,10,10,
16,1,5,5,5,5,5,5,1,1,1],[1,5,5,5,20,5,10,5,5,10,5,5,5,10,5,10,10,10,16,5,5,5,
5,5,5,5,10,10,10,10,10,10,16,1,5,5,5,5,5,5,5,1,1],[1,5,5,5,20,5,10,5,5,10,5,
10,5,5,5,10,10,10,16,5,5,5,5,5,5,5,10,10,10,10,10,10,16,1,5,5,5,5,5,5,5,1,1],[
1,5,5,5,20,5,5,5,10,10,5,10,5,5,5,10,10,10,16,5,5,5,5,5,5,5,10,10,10,10,10,10,
16,1,5,5,5,5,5,5,5,1,1],[1,1,6,9,9,6,12,12,16,2,1,1,4,3,3,3,9,6,6,3,6,12,6,9,
6,9,6,6,9,3,6,6,9,3,6,12,6,12,18,12,6,12,12,12,18,6,6,16,16,16,2,1,1,4,3,3,3,
3,3,6,6,3,6,3,6,6,6,6,3,9,9,6,3,3,3,6,6,6,6,3,6,3,6,6,6,3,3,6,3,3,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,12,12,12,6,12,6,6,12,6,4,4,4,8,16,1,3,3,3,3,3,
3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,6,3,3,6,3,3,6,3,6,6,6,12,6,6,6,6,
6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,
6,6,9,9,12,12,16,2,1,4,1,3,6,3,9,6,3,3,9,6,6,9,6,6,6,12,6,9,9,6,3,6,3,6,18,12,
12,6,12,12,6,18,6,12,12,16,16,16,2,1,4,1,3,3,3,3,3,6,6,6,6,6,3,6,3,6,6,6,6,3,
6,3,3,3,6,6,3,9,3,3,6,6,3,3,6,3,9,6,12,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,6,
12,12,6,6,6,6,6,6,12,6,6,4,4,4,8,16,1,3,3,3,3,6,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,6,3,6,3,6,3,3,3,3,3,3,3,6,6,6,6,6,12,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,6,6,9,9,12,12,16,2,1,4,1,3,6,
3,9,6,3,3,6,6,9,9,6,12,6,6,9,9,6,3,6,6,3,12,6,18,12,6,6,12,12,12,18,6,12,16,
16,16,2,1,4,1,3,3,3,3,3,6,6,6,6,6,6,3,3,6,6,3,6,6,3,3,3,6,6,3,9,3,3,6,3,3,6,6,
6,3,9,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,12,12,12,6,4,4,
4,8,16,1,3,3,3,3,3,3,3,3,3,6,3,3,3,6,3,3,6,3,6,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,
3,6,6,6,6,6,6,6,6,12,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,
4,4,3,1,1,1,1],[1,1,9,6,9,6,12,12,16,2,4,1,1,3,3,6,6,3,9,3,6,9,6,6,3,6,3,9,6,
12,6,6,6,9,9,12,18,18,12,6,12,12,12,12,6,6,6,16,16,16,2,1,1,4,3,3,3,3,3,3,6,3,
3,6,6,6,9,6,6,6,6,6,6,6,6,3,6,9,3,3,6,3,3,3,6,3,6,3,3,6,12,12,6,12,6,6,6,6,6,
6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,12,6,6,6,12,6,4,4,4,8,16,1,3,3,3,3,3,3,3,3,3,3,
3,6,3,6,3,3,3,3,3,6,3,3,3,3,3,3,6,3,3,3,6,3,3,3,3,6,6,6,6,6,6,12,6,6,6,4,4,4,
4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,6,9,9,6,
12,12,16,2,1,1,4,3,3,3,9,6,6,3,6,12,6,6,6,6,9,9,6,9,3,9,3,6,6,6,12,18,6,12,12,
12,12,18,12,6,6,16,16,16,2,1,1,4,3,3,3,3,3,6,3,6,6,6,3,6,6,6,3,6,9,9,6,3,3,3,
6,6,6,6,3,6,6,3,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,12,6,6,12,6,6,12,
6,12,12,6,6,6,6,4,4,4,8,16,1,3,3,3,3,3,3,3,3,3,3,3,6,3,3,6,3,3,3,6,3,3,3,3,3,
3,3,3,6,3,3,3,6,3,3,3,6,6,6,12,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,1,1,15,15,15,15,16,1,5,10,10,10,15,15,
15,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,60,60,60,16,16,16,5,5,5,
10,10,10,10,10,10,10,10,10,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,4,4,4,
8,16,5,6,10,10,10,10,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,60,4,4,4,4,4,4,4,4,4,8,8,8,6,6,6,10,10,10,15,1,4,4,4,8,1,1,1,1,1],[1,1,
9,6,9,6,12,12,16,2,4,1,1,3,3,6,6,3,9,3,6,9,3,3,6,9,6,6,12,6,6,6,9,6,9,18,18,
12,12,12,12,12,6,12,6,6,6,16,16,16,2,1,1,4,3,3,3,3,3,3,6,3,3,6,6,6,9,6,6,6,6,
6,6,6,6,3,6,9,3,3,6,3,3,3,3,6,6,3,3,6,6,12,12,12,12,6,6,6,12,6,6,6,6,6,6,6,6,
6,6,6,6,12,6,6,6,6,6,6,6,6,4,4,4,8,16,1,3,3,3,3,3,3,3,3,6,6,3,6,6,3,3,3,3,3,6,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,12,6,4,4,4,4,4,4,4,4,4,8,1,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,1,1,3,3,3,3,16,1,1,3,3,3,3,
3,3,3,3,3,3,3,12,12,16,16,16,1,1,1,3,3,3,3,6,6,6,6,6,6,12,12,12,12,4,16,1,3,3,
6,6,6,6,6,6,4,4,4,3,4,4,1,1,1],[1,1,1,1,3,3,3,3,16,1,1,3,3,3,3,3,3,3,3,3,3,3,
12,12,16,16,16,1,1,1,3,3,3,3,6,6,6,6,6,6,12,12,12,12,4,16,1,3,3,6,6,6,6,6,6,4,
4,4,3,4,4,1,1,1],[1,1,1,1,3,3,3,3,12,12,12,12,16,1,1,3,3,3,3,3,3,3,3,3,3,3,4,
4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,12,16,16,16,1,1,1,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,4,4,4,4,4,16,1,3,3,3,3,3,3,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,3,4,4,4,6,6,6,6,6,6,12,1,4,4,4,4,4,1,1,1,1,1],[1,1,1,1,3,3,
3,3,16,1,1,3,3,3,3,3,3,3,3,3,3,3,12,12,16,16,16,1,1,1,3,3,3,3,6,6,6,6,6,6,12,
12,12,12,4,16,1,3,3,6,6,6,6,6,6,4,4,4,3,4,4,1,1,1],[1,1,1,1,15,15,15,15,10,1,
5,15,15,15,15,15,15,15,15,15,15,15,6,10,10,10,10,10,10,10,5,5,5,15,15,15,15,6,
6,6,6,6,6,6,5,10,10,10,10,10,10,10,5,6,6,6,6,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,
1,1,1,15,15,15,15,10,1,5,15,15,15,15,15,15,15,15,15,15,15,6,10,10,10,10,10,10,
10,5,5,5,15,15,15,15,6,6,6,6,6,6,6,5,10,10,10,10,10,10,10,5,6,6,6,6,6,6,6,5,5,
5,10,6,5,1,1,1,1,1],[1,1,1,1,15,15,15,15,10,1,5,15,15,15,15,15,15,15,15,15,15,
15,6,10,10,10,10,10,10,10,5,5,5,15,15,15,15,6,6,6,6,6,6,6,5,10,10,10,10,10,10,
10,5,6,6,6,6,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,1,1,15,15,15,15,10,1,5,15,15,
15,15,15,15,15,15,15,15,15,6,10,10,10,10,10,10,10,5,5,5,15,15,15,15,6,6,6,6,6,
6,6,5,10,10,10,10,10,10,10,5,6,6,6,6,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,1,1,
15,15,15,15,12,12,12,12,1,5,10,10,10,15,15,15,15,15,15,15,15,15,15,15,4,4,4,4,
6,6,30,6,6,30,6,30,6,30,6,6,6,30,30,6,6,30,30,6,30,12,12,12,60,12,12,12,60,12,
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,
12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,5,5,5,10,10,10,10,10,10,
10,10,10,15,3,3,15,15,3,15,15,15,15,3,15,4,4,4,4,4,4,4,4,4,4,4,4,30,6,6,6,6,6,
6,6,6,6,6,6,30,6,6,6,6,6,30,6,6,6,30,6,6,6,6,6,6,30,30,6,6,6,30,6,30,30,6,6,6,
6,6,6,6,6,30,6,30,30,30,6,6,6,30,30,30,30,30,30,6,6,6,6,30,6,6,6,6,6,30,6,30,
30,30,6,6,6,30,30,30,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,60,12,12,12,12,12,60,
12,12,12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,60,12,12,
12,12,12,12,12,12,12,12,12,5,6,10,10,10,10,15,3,15,3,3,3,3,3,3,15,3,15,15,3,3,
3,15,3,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,30,30,6,30,6,6,30,6,6,6,6,6,6,6,6,6,6,
6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,
30,6,6,6,6,6,6,6,6,6,6,6,30,6,6,30,6,6,6,6,6,6,6,6,6,6,30,6,6,6,30,6,30,6,6,6,
6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,6,6,6,10,10,10,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,15,3,4,4,4,4,4,4,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,1,1,1,1,1,3,3,3,3,3,3,3,3,3,
3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,3,3,3,3,3,1],[1,1,1,1,15,15,
15,15,1,5,10,10,10,15,15,15,15,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,
30,60,60,60,16,5,5,5,10,10,10,10,10,10,10,10,10,15,15,15,15,15,15,15,15,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,
60,60,60,60,60,16,16,16,5,6,10,10,10,10,15,15,15,15,15,15,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,60,16,6,6,6,10,10,10,15,1,1,1,1,1,1],[1,1,10,10,5,
5,20,20,5,5,5,5,5,10,5,5,5,10,10,5,10,10,10,10,5,5,10,15,10,15,10,10,20,20,10,
20,20,10,10,10,20,20,16,5,5,5,5,5,5,5,10,10,10,5,10,5,10,10,5,5,10,5,5,10,5,5,
5,5,10,10,10,10,5,5,10,5,5,10,10,10,10,10,10,20,20,10,10,10,10,10,10,20,10,10,
10,10,20,10,10,10,10,10,10,10,10,16,16,16,1,5,5,5,5,5,5,5,5,5,10,5,5,5,5,5,5,
5,5,10,5,5,5,10,5,5,10,5,5,5,5,5,5,5,5,10,10,10,10,10,20,10,10,10,16,1,5,5,5,
5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,10,10,5,5,20,20,5,5,5,5,5,10,5,5,10,
10,5,5,10,10,10,5,5,10,15,10,10,15,20,10,10,20,10,10,20,20,20,10,10,20,16,5,5,
5,5,5,5,5,10,10,10,10,5,5,10,10,5,10,5,10,5,5,10,5,5,5,5,10,5,5,10,10,10,5,5,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,20,10,10,10,20,20,10,10,10,10,
10,20,16,16,16,1,5,5,5,5,10,5,5,5,5,5,5,5,5,5,10,5,5,5,5,5,5,10,5,5,5,5,5,5,5,
5,5,5,10,5,10,10,10,10,10,10,10,10,20,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,
1,1,1],[1,1,10,5,5,10,20,20,5,5,5,5,5,5,10,5,10,10,10,10,10,5,5,10,5,15,5,15,
10,10,10,20,10,10,20,20,20,20,20,10,10,10,16,5,5,5,5,5,5,5,10,10,10,5,10,5,10,
10,5,10,5,5,10,5,5,10,5,10,10,10,10,5,5,5,5,5,5,10,10,10,10,10,10,10,10,10,10,
10,20,10,10,10,10,10,10,20,10,10,10,20,10,10,10,20,10,16,16,16,1,5,5,5,5,5,5,
5,10,5,5,5,5,10,10,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,10,5,5,20,10,10,10,10,10,
10,10,10,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,5,10,5,10,20,20,5,
5,5,5,10,5,5,5,10,5,15,15,10,5,10,10,10,10,10,5,10,5,20,10,10,20,20,20,20,10,
20,10,10,10,16,5,5,5,5,5,5,5,5,10,5,5,10,10,10,10,10,5,10,10,10,5,10,5,5,5,5,
5,5,10,5,10,5,5,10,20,10,20,20,20,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,16,16,16,1,5,5,5,5,5,5,5,10,5,5,10,5,5,5,5,5,5,5,5,
5,5,5,10,5,5,5,5,10,5,5,5,5,5,5,20,10,10,10,10,10,10,10,10,16,1,5,5,5,5,5,5,5,
5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,5,10,5,10,20,20,5,5,5,5,10,5,5,5,10,5,10,10,
15,10,15,5,10,10,10,10,5,5,10,10,20,20,10,20,20,20,20,10,10,10,16,5,5,5,5,5,5,
5,5,10,5,5,10,10,10,5,10,10,10,10,10,5,10,5,5,5,10,10,5,5,5,5,5,5,10,20,10,20,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,20,10,10,10,10,10,10,10,10,10,20,16,
16,16,1,5,5,5,5,5,5,10,10,5,5,5,5,10,5,5,5,5,5,5,5,5,5,5,5,5,5,10,5,5,5,5,5,5,
5,10,10,10,10,10,20,10,10,10,16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,
1,10,5,5,10,20,20,5,5,5,5,5,5,10,5,10,10,5,10,5,10,10,5,15,10,10,5,15,10,20,
10,20,10,20,10,20,20,10,20,10,10,16,5,5,5,5,5,5,5,10,10,5,10,5,10,10,10,5,5,5,
10,5,5,10,5,10,10,5,10,5,10,5,5,10,5,5,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,20,10,10,10,10,20,10,20,20,10,10,10,16,16,16,1,5,5,5,5,5,5,5,5,5,10,
5,5,5,10,10,5,5,5,5,5,5,5,5,5,5,5,10,5,5,5,5,5,5,5,10,10,20,10,10,10,10,10,10,
16,1,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,1,1,1,1,1],[1,1,1,1,15,15,15,15,12,12,12,
12,16,1,5,10,10,10,15,15,15,15,15,15,15,15,15,15,15,6,6,30,6,6,30,6,30,6,30,6,
6,6,30,30,6,6,30,30,6,30,12,12,12,60,12,60,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,60,12,12,12,12,12,16,16,16,16,16,16,16,5,5,5,10,
10,10,10,10,10,10,10,10,15,3,3,15,15,3,15,15,15,15,3,15,30,6,6,6,6,6,6,6,6,6,
6,6,30,6,6,6,6,6,30,6,6,6,30,6,6,6,6,6,6,30,30,6,6,6,30,6,30,30,6,6,6,6,6,6,6,
6,30,6,30,30,30,6,6,6,30,30,30,30,30,30,6,6,6,6,30,6,6,6,6,6,30,6,30,30,30,6,
6,6,30,30,30,12,12,12,12,12,12,12,12,12,12,12,12,12,60,12,12,12,12,12,12,12,
12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,60,12,12,12,60,12,12,60,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,60,12,12,
12,12,12,12,12,12,12,12,12,4,4,4,8,16,16,16,16,16,16,16,5,6,10,10,10,10,15,3,
15,3,3,3,3,3,3,15,3,15,15,3,3,3,15,3,6,6,6,6,6,6,6,6,6,30,30,30,6,6,30,6,6,6,
6,6,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,30,6,6,
6,6,6,6,6,6,30,6,6,30,6,6,6,6,6,6,6,30,6,6,30,6,30,6,6,6,6,6,6,6,30,6,6,6,6,6,
30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,16,6,6,6,10,10,10,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,15,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,8,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,
1,1],[1,1,1,1,15,15,15,15,20,20,20,20,1,5,10,10,10,15,15,15,15,15,15,15,15,15,
15,15,10,10,30,10,10,30,10,30,10,30,10,10,10,30,30,10,10,30,30,10,30,20,20,20,
60,20,60,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,60,20,
20,20,20,20,16,5,5,5,10,10,10,10,10,10,10,10,10,15,5,5,15,15,5,15,15,15,15,5,
15,30,10,10,10,10,10,10,10,10,10,10,10,30,10,10,10,10,10,30,10,10,10,30,10,10,
10,10,10,10,30,30,10,10,10,30,10,30,30,10,10,10,10,10,10,10,10,30,10,30,30,30,
10,10,10,30,30,30,30,30,30,10,10,10,10,30,10,10,10,10,10,30,10,30,30,30,10,10,
10,30,30,30,20,20,20,20,20,20,20,20,20,20,20,20,20,60,20,20,20,20,20,20,20,20,
20,20,60,20,20,20,20,20,20,20,20,20,20,20,60,20,20,20,60,20,20,60,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,60,20,20,20,
20,20,20,20,20,20,20,20,16,16,16,16,16,16,16,5,6,10,10,10,10,15,5,15,5,5,5,5,
5,5,15,5,15,15,5,5,5,15,5,10,10,10,10,10,10,10,10,10,30,30,30,10,10,30,10,10,
10,10,10,10,10,30,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,30,10,10,10,30,10,10,10,10,10,10,10,10,30,10,10,30,10,10,10,10,
10,10,10,30,10,10,30,10,30,10,10,10,10,10,10,10,30,10,10,10,10,10,30,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,30,10,10,10,10,10,10,10,10,10,10,20,20,20,20,
20,20,20,20,60,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,16,16,16,16,16,16,16,6,6,6,10,10,10,5,5,5,5,5,5,5,5,5,5,5,5,5,
5,5,15,5,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,20,
20,20,20,20,20,16,1,5,5,5,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,1,5,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,15,15,15,15,12,12,12,12,64,1,5,10,10,10,15,
15,15,15,15,15,15,15,15,15,15,4,4,4,4,6,6,30,6,6,30,6,30,6,30,6,6,6,30,30,6,6,
30,30,6,30,12,12,12,60,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,60,12,12,12,12,12,12,
12,12,12,12,12,64,64,64,5,5,5,10,10,10,10,10,10,10,10,10,15,3,3,15,15,3,15,15,
15,15,3,15,4,4,4,4,4,4,4,4,4,4,4,4,30,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,30,6,
6,6,30,6,6,6,6,6,6,30,30,6,6,6,30,6,30,30,6,6,6,6,6,6,6,6,30,6,30,30,30,6,6,6,
30,30,30,30,30,30,6,6,6,6,30,6,6,6,6,6,30,6,30,30,30,6,6,6,30,30,30,12,12,12,
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,
12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,60,12,12,12,12,12,60,12,12,12,12,12,12,12,12,60,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,60,12,12,12,12,12,12,12,12,12,12,12,16,
16,16,32,16,16,16,16,64,5,6,10,10,10,10,15,3,15,3,3,3,3,3,3,15,3,15,15,3,3,3,
15,3,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,30,30,6,30,6,6,30,6,6,6,6,6,6,6,6,6,6,6,
6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,6,
30,6,6,6,6,6,6,6,6,6,6,6,30,6,6,30,6,6,6,6,6,6,6,6,6,6,30,6,6,6,30,6,30,6,6,6,
6,6,6,6,6,6,6,6,6,30,6,6,6,6,6,30,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,30,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
60,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
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,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,32,16,32,16,16,16,16,32,16,
16,16,16,6,6,6,10,10,10,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,15,3,4,4,4,4,4,4,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,4,4,16,16,16,16,16,16,16,32,1,1,1,
1,1,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,
4,4,4,4,4,4,3,3,3,3,3,4,4,4,4,4,1,1],[1,1,1,1,15,15,15,15,60,60,60,60,160,1,5,
10,10,10,15,15,15,15,15,15,15,15,15,15,15,20,20,20,20,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,96,160,160,160,160,160,160,160,5,5,
5,10,10,10,10,10,10,10,10,10,15,15,15,15,15,15,15,15,15,15,15,15,20,20,20,20,
20,20,20,20,20,20,20,20,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,96,96,96,96,96,96,96,40,40,40,80,80,80,
80,80,160,160,160,160,160,160,160,5,6,10,10,10,10,15,15,15,15,15,15,15,15,15,
15,15,15,15,15,15,15,15,15,20,20,20,20,20,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,96,96,96,96,96,96,96,40,40,40,40,40,40,40,40,40,40,40,40,40,40,
40,40,40,40,40,40,40,80,80,80,80,80,80,80,80,80,80,80,80,80,80,80,160,6,6,6,
10,10,10,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,20,20,20,20,20,20,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
60,60,60,60,60,60,60,60,96,10,20,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,
40,40,40,40,40,40,80,80,80,80,80,16,16,16,16,1,5,5,5,5,15,15,15,15,15,15,15,
15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,6,10,10,10,10,10,10,10,20,20,20,20,20,20,40,40,40,16,16,16,16,16,16,16,16,
16,16,16,16,15,15,15,15,15,6,6,6,6,6,6,6,10,10,10,10,10,10,10,20,20,20,20,16,
16,16,16,5,6,6,6,6,6,6,6,10,6,5,1]],
[1,2,2,2,2,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,10,10,10,10,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
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,
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,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,20,20,20,20,20,20,20,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,40,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,60,60,60,
60,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,80,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,120,120,120,120,120,120,120,120,120,120,120,120,128,128,128,
128,128,160,160,160,160,160,160,160,192,192,192,192,192,192,192,192,192,192,
192,240,240,240,240,256,320,320,320,320,320,320,320,384,640,768,3840],
[1043,1043,1043,1043,1032,1032,1032,1032,938,938,938,938,736,1043,1042,1040,
1040,1040,1032,1032,1032,1032,1032,1032,1032,1032,1032,1032,1032,1026,1026,
1026,1026,1009,1009,1005,1009,1009,1005,1009,1005,1009,1005,1009,1009,1009,
1005,1005,1009,1009,1005,1005,1009,1005,938,938,948,937,938,938,938,937,938,
948,938,938,938,938,938,938,938,938,938,938,938,938,938,938,938,938,938,938,
949,938,938,938,938,938,938,938,938,938,938,938,938,937,938,938,938,938,938,
938,938,949,946,946,938,904,736,736,736,736,736,736,736,1042,1042,1042,1040,
1040,1040,1040,1040,1040,1040,1040,1040,1032,1032,1032,1032,1032,1032,1032,
1032,1032,1032,1032,1032,1026,1026,1026,1026,1026,1026,1026,1026,1026,1026,
1026,1026,1005,1009,1009,1009,1009,1009,1009,1009,1008,1009,1005,1009,1005,
1009,1009,1009,1008,1009,1005,1009,1009,1009,1005,1009,1009,1009,1009,1009,
1009,1005,1005,1009,1009,1009,1005,1009,1005,1005,1009,1006,1006,1005,1009,
1009,1009,1007,1005,1009,1005,1005,1005,1009,1005,1009,1005,1005,1005,1005,
1005,1005,1009,1009,1005,1005,1005,1005,1007,1009,1009,1009,1005,1009,1005,
1005,1005,1009,1009,1009,1005,1005,1005,938,938,938,938,938,938,938,938,938,
938,938,938,938,938,938,938,938,938,948,938,938,938,938,948,938,938,948,938,
938,948,938,938,938,937,938,948,948,948,938,938,948,938,938,938,938,938,938,
948,938,938,948,938,948,938,938,948,938,948,938,937,938,938,946,949,938,938,
938,938,938,938,938,938,938,938,946,946,946,946,949,938,938,949,938,938,938,
948,938,938,938,938,937,948,938,938,938,938,937,938,938,946,938,938,938,938,
938,937,938,938,938,938,946,938,948,949,938,938,949,938,946,949,949,938,946,
938,946,946,949,949,949,949,948,949,949,938,938,938,946,938,946,949,938,949,
948,949,946,946,937,946,948,949,949,949,946,946,946,948,949,946,904,904,904,
904,904,904,904,992,990,991,932,928,930,931,929,736,736,736,736,736,736,736,
1042,1041,1040,1040,1040,1040,1032,1032,1032,1032,1032,1032,1032,1032,1032,
1032,1032,1032,1032,1032,1032,1032,1032,1032,1026,1026,1026,1026,1026,1008,
1009,1005,1005,1009,1007,1009,1009,1005,1009,1009,1005,1005,1009,1005,1009,
1005,1005,1009,1009,1009,1009,1005,1009,1009,1009,1005,1009,1009,1009,1005,
1009,1009,1009,1009,1005,1005,1005,1005,1009,1009,1008,1005,1009,1005,1005,
1009,1005,1005,1005,1005,1006,1005,1009,1009,1009,1005,1009,1005,1009,1009,
1009,1005,1009,1009,1009,1005,1009,1009,1009,1009,1009,1009,1009,1007,1009,
1009,1009,1005,1005,1005,1005,1009,1009,1005,1005,1009,1009,1009,1005,1009,
1009,1005,1009,1009,1005,1005,1009,1005,1009,1005,1005,1009,1009,1005,1005,
1005,1005,1009,1009,1009,1005,1005,1005,1005,1005,1005,1005,1009,1009,1009,
1005,1005,1005,1005,1005,1005,1005,1005,1005,1005,1009,1009,1005,1009,1009,
1005,1005,1009,1005,1005,1009,1005,1006,1009,1009,1005,1009,1005,938,938,949,
946,938,949,938,938,938,938,938,946,946,938,948,938,938,949,948,937,949,938,
938,938,946,938,948,938,938,938,938,949,948,938,938,938,938,948,938,946,938,
938,948,938,948,949,949,946,949,938,948,948,948,946,946,946,948,949,949,938,
938,946,946,946,949,949,948,948,938,946,949,938,946,948,938,948,948,949,946,
938,938,938,946,938,949,948,938,949,938,938,946,946,949,949,948,948,946,949,
949,946,948,938,904,904,904,904,904,904,904,991,990,991,992,991,991,990,992,
992,992,991,991,990,991,992,990,992,992,990,990,990,928,928,931,932,929,932,
929,930,929,930,932,930,928,931,931,736,1041,1041,1041,1040,1040,1040,1032,
1032,1032,1032,1032,1032,1032,1032,1032,1032,1032,1032,1032,1032,1032,1032,
1032,1026,1026,1025,1024,1027,1026,1005,1009,1009,1009,1005,1005,1005,1009,
1009,1005,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,1009,
1005,1009,1009,1009,1009,1005,1009,1009,1005,1009,1009,1009,1005,1009,1009,
1005,1009,1005,1005,1005,1009,1009,1009,1009,1009,1009,1009,1005,1009,1005,
1005,1009,1009,1009,1005,1009,1009,1005,1009,1009,1009,1009,1009,1009,1005,
1005,1009,1009,1009,1009,1009,1009,1009,1009,1005,1009,1005,1009,1005,1005,
1005,1005,1009,1005,1005,1005,1005,1005,1009,1005,1005,1005,1009,1005,1005,
1005,1009,1005,1005,1005,1009,1009,1005,1005,1005,1005,1005,1005,1009,1009,
1005,1005,1005,1005,1005,1005,1005,1005,1005,1005,1005,1005,1005,1005,1005,
1009,1005,946,948,948,949,938,946,945,949,904,1040,1026,991,991,992,991,990,
992,992,992,990,990,990,991,990,992,991,992,991,992,990,991,990,928,929,930,
931,932,1029,1030,1031,1028,1043,1042,1042,1042,1042,1032,1032,1032,1032,1032,
1032,1032,1032,1032,1032,1005,1009,1005,1009,1009,1005,1005,1009,1009,1005,
1009,1009,1009,1009,1009,1009,1005,1005,1009,1005,1005,1005,1005,1005,1041,
1040,1040,1040,1040,1040,1040,1040,1026,1026,1026,1025,1027,1024,990,991,992,
1028,1028,1029,1029,1029,1030,1031,1028,1031,1030,1030,1031,1032,1032,1032,
1032,1032,1041,1041,1041,1041,1041,1041,1041,1040,1040,1040,1040,1040,1040,
1040,1024,1025,1026,1027,1028,1029,1030,1031,1042,1041,1041,1041,1041,1041,
1041,1041,1040,1041,1042,1043],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,13,1,13,1,1,13,
13,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,5,1,1,1,1,5,1,1,5,1,1,5,1,1,1,1,1,5,5,
5,1,1,5,1,1,1,1,1,1,5,1,1,5,1,5,1,1,5,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,8,
8,8,6,1,1,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,1,1,1,1,
1,6,1,1,6,6,1,8,1,8,8,6,6,6,6,5,1,1,1,1,1,8,1,1,6,1,6,5,6,8,8,1,8,1,6,6,6,8,8,
8,5,6,8,1,108,1,108,1,108,108,16,18,17,15,33,32,31,30,13,13,13,13,13,1,13,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,8,1,1,8,1,8,8,1,1,
1,8,1,1,1,1,6,1,8,1,6,5,8,8,8,1,8,5,1,5,5,1,5,5,6,6,5,5,5,1,5,5,1,6,5,8,8,1,6,
1,8,6,1,6,5,6,5,1,6,1,1,8,5,8,1,6,6,6,1,1,6,6,1,6,1,1,1,6,8,1,1,1,6,1,1,1,1,5,
1,8,1,8,8,6,1,6,1,6,5,8,1,5,5,6,8,5,8,8,1,1,8,8,5,5,1,1,5,5,5,8,8,5,5,6,6,5,8,
8,6,6,8,6,5,6,1,6,1,6,5,5,1,1,6,1,5,8,6,1,1,6,8,1,6,1,1,1,1,1,8,8,1,5,1,1,6,5,
1,6,1,1,1,8,1,5,1,1,1,1,6,5,1,1,1,1,5,1,8,1,1,5,1,5,6,6,8,6,1,5,5,5,8,8,8,5,6,
6,1,1,8,8,8,6,6,5,5,1,8,6,1,8,5,1,5,5,6,8,1,1,1,8,1,6,5,1,6,1,1,8,8,6,6,5,5,8,
6,6,8,5,1,108,108,1,108,108,108,108,400,18,17,16,17,400,18,398,398,16,400,17,
399,400,16,399,398,398,18,399,399,33,33,31,15,30,15,30,32,30,32,15,32,33,31,
31,13,1,1,1,1,1,1,5,8,6,5,5,6,8,8,1,8,1,6,1,6,1,1,5,1,1,3,2,4,1,19,29,29,29,
19,8,5,29,29,5,29,6,29,29,6,8,1,29,29,1,5,5,29,8,29,5,5,5,19,29,8,8,29,29,29,
19,6,5,19,6,19,19,19,29,29,29,29,29,29,29,19,29,5,5,8,5,8,19,8,6,6,6,6,6,6,8,
8,5,19,29,29,5,29,29,29,29,29,19,8,19,6,6,6,19,8,1,5,5,8,6,6,29,5,19,19,8,19,
8,19,8,6,8,5,5,5,19,19,8,19,6,19,1,1,19,6,8,8,19,6,19,19,19,19,19,19,6,19,5,1,
19,8,5,5,6,1,8,7,6,108,415,438,400,400,398,17,18,398,398,398,399,399,399,400,
399,398,400,398,400,16,399,400,399,33,30,32,31,15,933,934,935,936,1,1,3,4,2,8,
6,5,7,8,5,5,6,8,6,19,29,19,29,29,19,19,29,29,19,29,29,29,29,29,29,19,19,29,19,
19,19,19,19,414,905,415,415,905,415,905,905,438,438,438,762,764,763,399,400,
398,936,936,933,933,933,934,935,936,935,934,934,935,19,134,137,135,29,414,414,
976,414,976,976,976,905,905,905,905,905,415,905,763,762,438,764,936,933,934,
935,413,414,976,976,976,976,976,976,905,976,1032,1043],
[ ( 1,118, 94)( 2,110, 34)( 3,103, 37)( 4,117, 91)( 5,199, 12)
( 6,143, 62)( 7,213, 76)( 10,214, 75)( 11, 54, 17)( 13, 16,200)
( 14, 53, 20)( 15,144, 59)( 21,148, 93)( 22,202, 74)( 23,215,221)
( 24,216,222)( 25, 49,133)( 26, 32,122)( 27, 31,121)( 28, 56,134)
( 29,201, 73)( 30,147, 92)( 33,178,174)( 35,166, 84)( 36,165, 83)
( 38,111, 66)( 39,112, 65)( 40,177,173)( 41,171, 57)( 42,172, 58)
( 43, 80,151)( 44,102, 55)( 45,101, 52)( 46, 79,154)( 47,211,162)
( 48,212,161)( 50,207, 69)( 51,208, 68)( 60,167,181)( 61,168,180)
( 63, 89,184)( 64, 90,183)( 67, 77,224)( 70, 78,223)( 71,141,135)
( 72,142,136)( 81,185,155)( 82,186,156)( 85,126,132)( 86,125,131)
( 87,169,205)( 88,170,206)( 96,197,188)( 97,150,106)( 98,149,105)
( 99,198,187)(104,138,192)(107,137,191)(108,116,128)(109,113,127)
(114,140,158)(115,139,157)(119,217,209)(120,218,210)(123,146,160)
(124,145,159)(129,193,204)(130,194,203)(152,176,163)(153,175,164)
(189,195,219)(190,196,220), ( 1, 30, 51,179, 45, 4, 21, 50,182, 44)
( 2,187, 81,140, 39, 3,188, 82,139, 38)( 5,117,128,216, 80, 16,118,127,
215, 79)( 6,104, 88,124,209, 15,107, 87,123,210)( 7,120, 31,163,196,
10,119, 32,164,195)( 8, 93,199,101,222, 9, 92,200,102,221)
( 11,201, 76,205,181, 14,202, 75,206,180)( 12, 67, 69,162, 94, 13, 70, 68,
161, 91)( 17,156,135, 28,183, 20,155,136, 25,184)( 18, 63,103, 83, 53,
19, 64,110, 84, 54)( 22, 36,157,152,191, 29, 35,158,153,192)
( 23,116, 48,212,147, 24,113, 47,211,148)( 26,171, 74,143, 34, 27,172, 73,
144, 37)( 33,197, 89, 97,145, 40,198, 90, 98,146)( 41,217,150,106, 49,
42,218,149,105, 56)( 43, 52,208,224,154, 46, 55,207,223,151)
( 57, 65,166, 62,213, 58, 66,165, 59,214)( 60,167,137,204,186, 61,168,138,
203,185)( 71,190,115,129,178, 72,189,114,130,177)( 77, 78)
( 85,142, 99,194,175, 86,141, 96,193,176)( 95,170,220,125,160,100,169,219,
126,159)(108,109)(111,133,174,131,122,112,134,173,132,121) ],
[[[[]]],[[[1,1,2,1],[2,1,3,4,1,1]]],[[[2,-5]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,
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1,-1],[2,1,1,1],[2,1,4,-1],[3,1,5,-1,1,1,2,1,4,-1,3,-1,5,-1]]],[[[1,1,2,1],[3,
3,1,1,3,-1,2,-1]]],[[[2,1,1,1,2,1,1,-1,2,-2,1,1]]],[[[2,1,1,1,2,2,1,1,2,-1,1,
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1,5,-1,3,-1,1,1,2,1,5,1,3,-1]],[[1,-1],[2,1,1,1],[3,1,2,2,4,-1,1,1,2,1,3,-1,4,
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1,4,1]]],[[[1,-1],[3,1,2,1,1,-1,2,-2,1,-1,2,2,3,-1]],[[1,1,2,1],[1,-1,2,-1,3,
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1],[1,-1,3,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,-2,3,
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2]],[[2,-5]]],[[[1,-1],[3,1,2,1,1,-1,2,-2,1,-1,2,2,3,-1]],[[2,1,1,-1,2,-2,1,
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1,3,-1,4,-1,2,-1,3,1,2,1,1,-1,2,-1]],[[1,1,2,1],[2,2,3,1,1,-1,3,-1,2,-1,3,
-1]]],[[[1,-1],[1,1,2,1],[4,1,2,1,1,-1,2,-1,4,-1,3,1,2,1,3,-1]],[[1,-1],[2,
2],[3,1,4,1,3,1,4,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,2,1,3,1,1,
-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-2,3,1]]],[[[1,-1],[1,1,2,1],[4,1,3,-1,4,-1,2,
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4,1],[3,1,5,1,4,1,3,1,5,-1,4,1]],[[1,1,2,1],[2,2,1,1,3,-2]]],[[[1,-1],[2,1,1,
1],[2,1,4,-1],[4,1,5,-1,3,-1,1,1,2,1,5,1,3,-1]],[[1,1,2,1],[2,2,1,1],[3,1,4,
-1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,2,1,3,1,1,-1]],[[1,1,2,1],[3,1,1,
1,3,-1,2,-1,3,2]]],[[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]],[[1,1,2,-2,1,
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3,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,-2,1,1,2,2,1,1,2,-1,1,-1]],[[1,1,2,
1],[2,1,1,1,2,-1,3,1,2,1,3,1,1,-1]]],[[[1,1,2,1],[1,-1,2,-1,3,-1,2,2,1,-1,3,
1]],[[1,1,2,1],[1,-1,3,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[1,-1],[2,2],[3,1,4,1,3,
1,4,-1,1,1,2,1]],[[2,1,1,-1,2,-2,1,-1,2,2]]],[[[1,-1],[1,1,2,1],[2,1,1,1],[5,
1,2,-1,3,1,4,-1,5,1,2,1,4,1,3,1]],[[1,-1],[2,1,1,1],[2,1,4,-1],[1,1,2,1,5,1,3,
-1,4,1,5,-1,3,-1]]],[[[1,-1],[3,1,2,1,1,-1,2,-2,1,-1,2,2,3,-1]],[[1,1,2,1],[2,
2,1,1,3,-2]]],[[[1,-1],[2,1,1,1,2,1],[3,1,4,-2,3,-1]],[[2,1,1,1],[2,1,3,1,2,1,
3,-1,1,1]]],[[[2,1,1,1,2,2,1,1,2,-1,1,-1]],[[1,1,2,2,1,1,2,2]]],[[[1,-1],[2,1,
1,1],[2,1,4,-1],[3,1,5,-1,1,1,2,1,4,-1,3,-1,5,-1]],[[2,1,1,-1,2,2,1,1,2,-1,1,
1,2,1]]],[[[1,1,2,1],[3,2,2,1,1,-1,2,1,1,1,2,-1,3,1]],[[1,-1],[1,1,2,1],[3,1,
2,-1,3,-1],[5,1,4,1,5,1,4,1]]],[[[1,-1],[1,1,2,1],[3,1,2,1,1,1,4,-1,2,1,4,1,3,
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1,-1,3,1]],[[1,-1],[2,1,1,1,2,1],[3,1,4,-2,3,-1]]],[[[1,1,2,1],[1,-1,2,-1,3,
-1,2,2,1,-1,3,1]],[[2,1,1,-1,2,2,1,1,2,-1,1,1,2,1]]],[[[1,-1],[2,1,1,1,2,1],[
3,1,4,-2,3,-1]],[[1,-1],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[1,-1],[3,1,2,1,
1,-1,2,-2,1,-1,2,2,3,-1]],[[1,1,2,1],[3,1,1,-1,2,-1,3,1,2,1]]],[[[1,-1,2,2,1,
1,2,2,1,-1]],[[1,1,2,2,1,1,2,2]]],[[[1,1,2,1],[1,-1,2,-2,3,2]],[[1,1,2,2,1,1,
2,2]]],[[[2,1,1,1,2,-1,1,-1,2,1,1,1,2,1]],[[1,1,2,1],[2,2,1,1,3,-2]]],[[[1,-1,
2,1,1,-1,2,-1]]],[[[1,-1],[1,1,2,1],[3,1,2,-1,3,-1,4,2,3,1,4,-1,2,-1]],[[2,1,
1,-1,2,2,1,1,2,-1,1,1,2,1]]],[[[2,1,1,1],[2,1,3,1,2,1,3,-1,1,1]],[[2,1,1,1,2,
2,1,1,2,-1,1,-1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,1,2,1,3,1,1,-1]],[[2,-5]]],[[[
1,1,2,1],[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],[
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2,1],[3,1,2,-2,4,2,2,1,3,1]],[[1,-1],[2,2],[3,1,4,1,3,1,4,-1,1,1,2,1]]],[[[1,
1,2,2]]],[[[1,-1],[1,1,2,1],[3,1,4,-1,2,-1,4,-1,2,1,1,-1,2,-1,3,1]],[[1,1,2,
1],[1,-1,2,1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,-1],[2,2],[3,1,4,1,3,1,4,-1,1,1,2,
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1],[2,1,4,1],[3,1,5,1,4,1,3,1,5,-1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,2,1,3,1,
1,-1]]],[[[1,-1],[2,2],[3,1,4,1,3,1,4,-1,1,1,2,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,
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1,-1]]],[[[1,1,2,1],[2,2,3,1,1,-1,3,-1,2,-1,3,-1]],[[1,-1],[2,2],[3,1,4,1,3,1,
4,-1,1,1,2,1]]],[[[1,-1],[3,1,2,1,1,-1,2,-2,1,-1,2,2,3,-1]],[[2,1,1,1],[2,1,3,
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-1,3,1,2,1]]],[[[1,1,2,1],[1,-1,2,-2,3,2]],[[2,1,1,1,2,2,1,1,2,-1,1,-1]]],[[[
1,-1],[3,1,2,1,1,-1,2,-1,1,1,2,2,3,1]],[[1,1,2,1],[2,2,1,1,3,-2]]],[[[1,-1],[
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102,117,135,142,148,169],[1,3,5,6,7,8,9,12,18,20,22,25,26,28,29,30,36,42,45,
47,55,58,66,69,70,72,90,101,108,136,143,144,170],[1,4,5,7,9,12,13,19,20,21,23,
28,37,41,45,50,51,60,69,75,77,80,90,95,116,137,139,143,171],[1,4,5,6,7,8,9,12,
14,15,16,19,21,22,26,30,37,42,44,50,54,56,66,67,76,79,90,94,119,137,144,145,
172],[1,2,5,6,7,8,9,12,15,16,17,20,24,27,28,30,35,44,45,49,54,61,62,68,69,78,
90,103,120,141,143,145,173],[1,4,5,6,7,8,10,13,14,15,21,26,27,28,29,31,38,40,
43,51,57,70,71,78,79,81,91,100,113,138,147,148,174],[1,2,5,6,7,8,10,13,15,17,
19,20,22,24,29,31,33,39,40,52,59,61,71,72,76,80,91,105,115,140,146,148,175],[
1,2,5,8,10,12,13,22,23,24,26,27,33,43,46,49,52,60,64,66,73,81,91,98,118,140,
142,147,176],[1,4,5,7,10,12,13,19,20,21,23,28,38,39,46,50,51,60,69,75,77,80,
91,104,116,138,142,146,177],[1,5,9,12,32,41,86,90,178],[1,5,10,13,32,46,86,91,
179],[1,3,5,6,9,10,15,18,23,34,36,40,41,44,46,53,82,97,102,123,125,127,152,
156,160,180],[1,2,5,8,9,10,23,24,26,33,35,41,42,43,46,64,82,96,98,122,126,127,
155,156,159,181],[1,2,5,8,9,10,15,20,24,33,35,41,42,43,46,61,82,96,98,122,126,
127,155,158,160,182],[1,4,5,7,9,10,15,21,26,37,38,39,41,45,46,79,82,95,104,
121,124,127,157,159,160,183],[1,4,5,7,9,10,20,21,23,37,38,39,41,45,46,75,82,
95,104,121,124,127,156,157,158,184],[1,2,3,4,5,6,7,8,9,10,11,14,17,18,21,24,
25,33,34,35,36,37,38,39,40,41,42,43,44,45,46,74,82,92,93,94,95,96,97,98,99,
100,101,102,103,104,105,121,122,123,124,125,126,127,149,150,152,153,154,155,
157,161,162,185],[1,3,5,6,9,10,18,20,26,34,36,40,41,44,46,55,82,97,102,123,
125,127,152,158,159,186],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,33,34,38,39,40,43,46,47,48,49,50,51,52,53,54,55,
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,
91,92,98,99,100,102,104,105,106,107,108,109,110,111,112,113,114,115,116,117,
118,119,120,135,138,140,142,146,147,148,150,151,165,166,169,174,175,176,177,
187],[1,2,3,4,5,6,7,8,9,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,35,36,37,41,42,44,45,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,
63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,90,93,94,95,96,97,
101,103,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,136,137,
139,141,143,144,145,149,151,164,167,168,170,171,172,173,188],[1,4,5,7,9,12,19,
21,32,37,41,45,50,85,86,89,90,95,128,137,178,189],[1,2,5,8,9,12,24,27,32,35,
41,42,49,83,84,86,90,96,131,141,178,190],[1,2,5,8,10,13,22,24,32,33,43,46,52,
83,84,86,91,98,131,140,179,191],[1,3,5,6,10,13,16,18,32,34,40,46,48,86,87,88,
91,102,132,135,179,192],[1,3,5,6,9,12,18,29,32,36,41,44,47,86,87,88,90,97,132,
136,178,193],[1,4,5,7,10,13,21,28,32,38,39,46,51,85,86,89,91,104,128,138,179,
194],[1,2,3,4,5,6,7,8,9,10,11,14,15,17,18,20,21,23,24,25,26,33,34,35,36,37,38,
39,40,41,42,43,44,45,46,53,55,61,64,74,75,79,82,92,93,94,95,96,97,98,99,100,
101,102,103,104,105,110,121,122,123,124,125,126,127,149,150,152,153,154,155,
156,157,158,159,160,161,162,180,181,182,183,184,185,186,195],[1,2,3,4,5,6,7,8,
9,11,12,14,17,18,19,21,24,25,27,29,31,32,35,36,37,41,42,44,45,47,49,50,57,59,
63,74,83,84,85,86,87,88,89,90,93,94,95,96,97,101,103,106,128,129,130,131,132,
133,134,136,137,141,149,163,164,178,189,190,193,196],[1,2,3,4,5,6,7,8,10,11,
13,14,16,17,18,21,22,24,25,28,30,32,33,34,38,39,40,43,46,48,51,52,56,58,62,74,
83,84,85,86,87,88,89,91,92,98,99,100,102,104,105,107,128,129,130,131,132,133,
134,135,138,140,150,163,166,179,191,192,194,197],[1,5,9,10,12,13,23,32,41,46,
60,82,86,90,91,127,139,142,156,178,179,198],[1,3,5,6,9,10,12,13,15,16,18,23,
29,32,34,36,40,41,44,46,47,48,53,54,60,65,71,82,86,87,88,90,91,97,102,117,123,
125,127,132,135,136,139,142,145,148,152,156,160,167,169,178,179,180,192,193,
198,199],[1,4,5,7,9,10,12,13,19,20,21,23,28,32,37,38,39,41,45,46,50,51,60,69,
75,77,80,82,85,86,89,90,91,95,104,116,121,124,127,128,137,138,139,142,143,146,
156,157,158,171,177,178,179,184,189,194,198,200],[1,2,5,8,9,10,12,13,22,23,24,
26,27,32,33,35,41,42,43,46,49,52,60,64,66,73,81,82,83,84,86,90,91,96,98,118,
122,126,127,131,139,140,141,142,144,147,155,156,159,168,176,178,179,181,190,
191,198,201],[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]],
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],[1,3,
1],[1,3,1],[1,1,1,1,1],[1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,2,1],[1,
1,1],[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],[1,1,2,1],[
1,1,2,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,1],[1,1],[1,1,1,1],[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],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,
3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,1,1,1,1,
1,1],[1,3,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,2,1,2,2,1,1,1,2,1],[1,1,1,2,1,2,
2,1,1,1,2,1],[1,1,1,1,2,2,1,1,2,1,2,1],[1,1,1,2,2,1,2,1,1,1,2,1],[1,5,1,1,1,
1],[1,1,1,1,1,1,1,1],[1,1,1,2,2,1,1,2,1,1,2,1],[1,1,1,1,2,2,1,1,2,1,2,1],[1,1,
1,1,1,1,1,1],[1,1,4,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,
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],[1,1,2,2,1,1,1,
1],[1,1,4,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,3,2,1,1,1,1],[1,3,2,
1,1,1,1],[1,2,2,1],[1,5,1,1],[1,1,1,1],[1,1,1,1],[1,5,1,1],[1,5,1,1],[1,1,1,
1],[1,5,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,
1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,
1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,
1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,6,1,
1,1,3,3,3,3,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,
3,3,2,2,1,3,1,1,2,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,1,1,4,4,1,1,1,1,1,4,1,1,2,2,1,
1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,3,
3,2,2,1,3,3,1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,1,4,1,4,4,1,1,1,1,1,1,1,2,2,1,1,
1,1,1,1,1,1],[1,1,3,2,3,2,1,2,1,3,1,1,3,1,2,1,1,1,1,1,1,1,1],[1,1,1,4,4,1,1,4,
1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,3,2,2,3,1,1,2,1,1,3,3,1,2,1,1,1,1,1,1,1,
1],[1,1,5,5,1,1,3,1,5,1,3,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,1,3,5,1,3,1,1,1,1,1,1,
1,1],[1,1,5,5,1,1,3,1,5,1,3,1,1,1,1,1,1,1,1],[1,1,3,2,3,2,1,2,1,1,3,3,1,1,2,1,
1,1,1,1,1,1,1],[1,1,3,2,2,3,1,1,1,2,1,3,3,1,2,1,1,1,1,1,1,1,1],[1,1,2,2,2,2,1,
1],[1,9,2,2,6,6,1,1],[1,1,2,2,2,2,1,1],[1,9,2,2,6,6,1,1],[1,9,2,2,6,6,1,1],[1,
1,2,2,2,2,1,1],[1,9,2,2,6,6,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[
1,1,5,5,5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,5,5,5,1,
1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,
1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,9,4,1,3,3,4,3,1,
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],[1,9,4,3,1,3,4,3,1,1],[
1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,1,1,3,3,
3,3,1,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,1,1,3,3,3,3,1,1,3,3,
3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,1,1,5,5,5,5,1,1,1,5,1,3,5,5,3,1,
5,3,1,5,5,1,3,3,3,6,6,1,1,1,1,1,1,1,1,1,3,3,3,3,1,1,3,3,1,1,1,1,1,1,1,1,1,1,5,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,9,9,2,2,9,2,2,6,6,6,6,1,6,
6,1,1,1,1],[1,1,9,9,2,2,9,2,2,6,6,6,6,1,6,6,1,1,1,1],[1,1,9,9,2,2,9,2,2,6,6,6,
6,1,6,6,1,1,1,1],[1,1,9,9,2,2,9,2,2,6,6,6,6,1,6,6,1,1,1,1],[1,9,2,2,9,6,6,1,1,
1],[1,1,9,9,2,2,9,2,2,6,6,6,6,1,6,6,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,2,2,9,
6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,1,9,9,2,2,9,2,2,6,6,6,6,1,6,6,1,1,1,1],[1,
1,1,1,2,2,1,2,2,2,2,2,2,1,2,2,1,1,1,1],[1,1,1,1,5,5,5,5,1,5,5,5,5,5,5,1,5,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,4,1,
1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,3,3,
3,1,4,3,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,
3,1,4,1,1,1,1,1],[1,1,9,9,4,1,3,3,9,9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,9,9,4,1,3,9,3,9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,3,3,
9,3,9,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,3,6,6,4,1,3,3,3,6,3,3,3,6,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,3,3,9,3,9,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,1,3,6,3,6,4,1,6,3,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,3,6,6,3,4,1,3,3,6,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,
6,3,6,4,1,6,3,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,6,6,3,4,1,
3,6,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,3,3,9,3,9,4,
4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,9,3,9,3,3,4,4,4,3,1,3,3,3,3,3,
1,4,3,1,1,1,1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,1,9,9,2,2,9,9,
9,2,2,6,6,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,1,9,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,
1,1,1,1,1,1],[1,1,9,9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,1,9,9,2,
2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,1,9,9,2,2,9,9,9,2,2,6,6,6,6,9,1,
6,6,1,1,1,1,1,1,1],[1,1,1,1,9,9,9,9,2,2,1,9,9,9,9,9,9,2,2,2,2,2,2,6,6,6,6,6,6,
6,6,9,1,2,2,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,1,1,1,1,6,6,1,1,1,1,1,1,1,1],[1,1,9,
9,2,2,9,9,9,2,2,6,6,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,1,1,1,9,9,9,9,4,1,3,1,9,3,3,
9,9,9,3,9,3,3,9,9,3,9,3,9,6,18,4,4,4,4,4,4,4,3,1,3,3,1,1,3,3,3,3,9,3,9,3,3,3,
9,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,1,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,
3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,1,1,9,9,9,9,4,1,1,3,9,3,9,9,9,3,
3,9,9,3,9,9,3,3,9,3,18,6,4,4,4,4,4,4,4,1,3,1,1,3,3,3,3,3,9,3,9,3,3,3,9,3,3,3,
3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,
10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,
10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,
5,6,6,6,5,10,6,5,1,1],[1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[
1,1,15,15,10,5,15,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,1,1,9,9,9,9,2,2,1,
9,9,9,9,9,9,9,9,9,9,2,2,2,2,2,2,6,6,6,6,6,6,6,6,9,9,9,9,9,9,9,1,2,2,6,6,6,6,6,
6,6,6,6,6,6,6,9,1,1,1,1,1,1,1,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
1,1,15,15,15,15,10,1,5,15,15,15,15,15,15,15,15,15,30,6,10,10,10,10,10,10,10,5,
5,5,15,15,15,15,6,6,6,6,6,6,6,5,10,10,10,10,10,10,10,5,6,6,6,6,6,6,6,5,5,5,10,
6,5,1,1,1,1,1],[1,1,1,1,15,15,15,15,10,1,5,15,15,15,15,15,15,15,15,15,30,6,10,
10,10,10,10,10,10,5,5,5,15,15,15,15,6,6,6,6,6,6,6,5,10,10,10,10,10,10,10,5,6,
6,6,6,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,
15,10,15,15,10,6,6,1],[1,1,45,45,20,20,15,15,45,45,45,45,45,36,20,20,60,60,60,
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],[1,1,45,45,20,20,15,15,45,45,45,45,45,36,20,
20,60,60,60,60,15,15,45,45,45,45,45,10,36,36,36,15,15,60,60,45,10,10,10,36,15,
15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,45,45,20,20,15,15,45,45,45,
45,45,36,20,20,60,60,60,60,15,15,45,45,45,45,45,10,36,36,36,15,15,60,60,45,10,
10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,1,1,45,45,45,
45,20,20,1,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,36,20,
20,20,20,20,20,60,60,60,60,60,60,60,60,15,15,15,15,15,15,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,10,36,36,36,
36,36,36,36,15,15,20,20,60,60,60,60,60,60,60,60,60,60,60,60,15,15,45,45,45,45,
45,45,45,45,45,45,45,45,45,10,10,10,10,10,10,10,36,36,36,36,36,36,36,15,15,15,
15,15,15,15,15,15,15,15,15,15,15,60,60,45,10,10,10,10,10,10,10,10,10,10,10,36,
15,15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,10,10,10,10,10,10,10,15,15,6,6,
6,6,6,6,10,6,6,1,1,1,1,1]],
[1,2,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,9,10,10,10,10,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,20,20,20,
20,20,20,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,32,36,36,36,36,36,
36,36,36,36,36,36,40,48,48,48,48,48,48,48,48,48,48,48,48,48,48,60,60,72,72,72,
72,72,72,72,96,96,120,120,120,120,120,120,144,240,240,360,720,720,720,1440],
[202,202,202,202,151,151,151,151,185,185,202,188,187,151,151,151,151,151,151,
151,151,151,151,151,151,151,151,151,151,107,106,163,185,185,185,185,185,185,
150,150,149,149,150,149,149,150,188,187,188,188,187,187,151,151,151,151,151,
151,151,151,151,151,151,151,151,151,151,151,151,151,151,151,151,151,151,151,
151,151,151,151,151,195,163,163,163,163,163,163,163,188,187,185,185,149,149,
149,149,150,150,150,149,150,149,150,150,188,187,151,151,151,151,151,151,151,
151,151,151,151,151,151,195,195,195,195,195,195,195,163,163,163,163,163,163,
163,187,188,188,187,188,187,188,187,188,188,188,187,187,187,149,150,151,195,
195,195,195,195,195,195,195,195,195,195,163,188,187,187,188,188,187,188,188,
188,188,187,187,187,187,196,197,195,195,195,195,195,195,195,187,188,196,196,
197,197,196,197,195,196,197,202,202,202,202,202],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
10,10,9,9,10,9,9,10,1,1,1,1,1,1,1,5,1,1,1,1,1,5,1,1,1,1,5,5,5,5,5,5,5,5,5,1,1,
5,5,5,1,5,5,1,32,1,1,32,32,1,32,12,13,1,1,9,9,9,9,10,10,10,9,10,9,10,10,1,1,5,
5,1,5,5,5,5,5,5,5,5,5,5,1,82,1,82,82,1,82,32,1,32,32,32,32,32,13,12,12,13,90,
13,12,91,90,90,90,91,91,91,9,10,5,82,82,82,82,82,82,82,82,82,82,1,32,12,91,13,
90,90,91,90,90,90,90,91,91,91,91,178,179,82,82,82,82,82,82,82,91,90,178,178,
179,179,178,179,82,178,179,198,198,198,198,198],
[ ( 1, 75,200,197)( 2,184,115, 34)( 3,183,114, 37)( 4, 76,199,198)
( 5,219,127,130)( 6,106,160,111)( 7, 38,169,206)( 8, 28,216,177)
( 9, 25,215,178)( 10, 39,170,205)( 11, 30,176,161)( 12,109,221, 23)
( 13,108,222, 24)( 14, 21,175,162)( 15,105,159,112)( 16,220,128,129)
( 17,218,140,157)( 18, 46,166,154)( 19, 43,165,151)( 20,217,139,158)
( 22,147,174, 55)( 26,189,195, 88)( 27,190,196, 87)( 29,148,173, 52)
( 31,122,124,185)( 32,121,123,186)( 33,119,125, 59)( 35,214,137,180)
( 36,213,138,181)( 40,120,126, 62)( 41, 57,149,144)( 42, 58,150,143)
( 44,133, 92,192)( 45,134, 93,191)( 47,100,211, 86)( 48, 95,212, 85)
( 49, 98,131, 99)( 50,207,118, 77)( 51,208,117, 78)( 53,153,136,168)
( 54,152,135,167)( 56, 97,132, 96)( 60, 71,204,193)( 61, 72,203,194)
( 63, 90,188,163)( 64, 89,187,164)( 65, 79,145,102)( 66, 80,146,101)
( 67,171, 94,103)( 68, 74,182,104)( 69, 73,179,107)( 70,172, 91,110)
( 81, 84,142,201)( 82, 83,141,202)(113,156,223,209)(116,155,224,210),
( 1, 31, 93,214, 36,200,140, 45, 96,131)( 2, 16, 11, 82,108,195, 94,145,
119, 77)( 3, 5, 14, 81,109,196, 91,146,120, 78)( 4, 32, 92,213, 35,
199,139, 44, 99,132)( 6,189, 18,118,147,136, 34, 95, 13, 55)
( 7,173,210, 64,102,187, 29,155,169, 30)( 8, 72,218,122,204,179,143,185,
157, 41)( 9, 71,217,121,203,182,144,186,158, 42)( 10,174,209, 63,101,
188, 22,156,170, 21)( 12, 52, 15,190, 19,117,148,135, 37,100)
( 17,138,107,177,180,124, 49, 28, 73, 97)( 20,137,104,178,181,123, 56, 25,
74, 98)( 23,220,152,114,113,208,103,112, 27,223)( 24,219,153,115,116,207,
110,111, 26,224)( 33, 85,163,171,142,202,166, 39,129, 62)
( 38,130, 59, 40, 86,164,172,141,201,165)( 43,160,222, 83, 66,211, 53, 50,
125,175)( 46,159,221, 84, 65,212, 54, 51,126,176)( 47,127,105,205,184,
151, 70,167, 90, 88)( 48,128,106,206,183,154, 67,168, 89, 87)
( 57, 76, 68,133, 61,193,198,215,192,150)( 58, 75, 69,134, 60,194,197,216,
191,149)( 79,161)( 80,162) ],
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LIBTOM( "2^2xL2(7)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,2,3,4,10],[1,7,11],[1,
7,12],[1,2,5,7,13],[1,7,14],[1,4,7,8,15],[1,2,6,8,16],[1,7,8,17],[1,3,5,8,
18],[1,4,5,6,19],[1,6,7,20],[1,5,7,21],[1,7,22],[1,5,7,23],[1,3,6,7,24],[1,7,
8,25],[1,7,26],[1,7,27],[1,6,7,28],[1,5,6,8,29],[1,5,6,8,30],[1,8,9,31],[1,7,
9,32],[1,5,9,33],[1,3,9,34],[1,4,9,35],[1,2,9,36],[1,6,9,37],[1,38],[1,4,7,8,
11,15,25,39],[1,3,6,7,12,20,24,40],[1,3,6,7,11,24,28,41],[1,4,7,8,12,15,17,
42],[1,2,5,7,12,13,21,43],[1,2,5,7,11,13,23,44],[1,4,7,8,14,15,22,45],[1,2,5,
7,13,22,27,46],[1,5,6,7,20,23,26,47],[1,6,7,20,27,28,48],[1,5,7,11,21,22,49],[
1,2,3,4,5,6,7,8,10,13,15,16,18,19,24,50],[1,2,5,7,13,14,26,51],[1,7,11,12,27,
52],[1,4,5,6,7,8,15,19,20,21,29,53],[1,4,5,6,7,8,15,19,23,28,30,54],[1,3,5,6,
7,8,17,18,21,24,29,55],[1,3,5,6,7,8,18,23,24,25,30,56],[1,2,5,6,7,8,13,16,25,
28,30,57],[1,6,7,11,14,20,58],[1,5,7,21,23,27,59],[1,6,7,12,14,28,60],[1,5,6,
7,21,26,28,61],[1,7,8,11,17,26,62],[1,5,7,8,14,17,23,63],[1,5,7,8,14,21,25,
64],[1,5,7,12,22,23,65],[1,3,6,7,14,24,27,66],[1,3,6,7,22,24,26,67],[1,7,8,17,
25,27,68],[1,2,5,6,7,8,13,16,17,20,29,69],[1,6,7,8,17,22,28,70],[1,4,7,8,15,
26,27,71],[1,6,7,8,20,22,25,72],[1,7,8,12,25,26,73],[1,7,9,11,74],[1,7,9,12,
75],[1,2,3,4,9,10,34,35,36,76],[1,3,6,7,9,24,32,34,37,77],[1,4,7,8,9,15,31,32,
35,78],[1,2,5,7,9,13,32,33,36,79],[1,3,5,8,9,18,31,33,34,80],[1,2,6,8,9,16,31,
36,37,81],[1,4,5,6,9,19,33,35,37,82],[1,3,38,83],[1,4,38,84],[1,2,38,85],[1,2,
3,4,5,6,7,8,10,11,13,15,16,18,19,23,24,25,28,30,39,41,44,50,54,56,57,86],[1,2,
3,4,5,6,7,8,10,12,13,15,16,17,18,19,20,21,24,29,40,42,43,50,53,55,69,87],[1,4,
5,6,7,8,11,14,15,19,20,21,22,25,29,39,45,49,53,58,64,72,88],[1,4,5,6,7,8,12,
14,15,17,19,22,23,28,30,42,45,54,60,63,65,70,89],[1,4,5,6,7,8,15,19,20,21,23,
26,27,28,29,30,47,48,53,54,59,61,71,90],[1,2,3,4,5,6,7,8,10,13,14,15,16,18,19,
22,24,26,27,45,46,50,51,66,67,71,91],[1,2,5,6,7,8,13,16,17,20,22,25,27,28,29,
30,46,48,57,68,69,70,72,92],[1,2,5,7,11,12,13,21,22,23,27,43,44,46,49,52,59,
65,93],[1,4,7,8,11,12,15,17,25,26,27,39,42,52,62,68,71,73,94],[1,3,5,6,7,8,11,
17,18,21,22,24,26,28,29,41,49,55,61,62,67,70,95],[1,3,5,6,7,8,14,17,18,21,23,
24,25,27,29,30,55,56,59,63,64,66,68,96],[1,3,5,6,7,8,12,18,20,22,23,24,25,26,
30,40,47,56,65,67,72,73,97],[1,3,6,7,11,12,14,20,24,27,28,40,41,48,52,58,60,
66,98],[1,2,5,6,7,8,12,13,14,16,21,25,26,28,30,43,51,57,60,61,64,73,99],[1,2,
5,6,7,8,11,13,14,16,17,20,23,26,29,44,47,51,58,62,63,69,100],[1,9,38,101],[1,
6,7,9,11,14,20,37,58,74,102],[1,4,7,8,9,11,15,25,35,39,74,103],[1,2,5,7,9,12,
13,21,36,43,75,104],[1,3,6,7,9,11,24,28,34,41,74,105],[1,2,5,7,9,11,13,23,36,
44,74,106],[1,4,7,8,9,12,15,17,35,42,75,107],[1,7,9,11,12,27,32,52,74,108],[1,
3,6,7,9,12,20,24,34,40,75,109],[1,5,7,9,11,21,22,33,49,74,110],[1,7,8,9,11,17,
26,31,62,74,111],[1,5,7,9,12,22,23,33,65,75,112],[1,7,8,9,12,25,26,31,73,75,
113],[1,7,9,11,12,27,32,52,75,114],[1,6,7,9,12,14,28,37,60,75,115],[1,2,3,4,5,
6,7,8,9,10,13,15,16,18,19,24,31,32,33,34,35,36,37,50,76,77,78,79,80,81,82,
116],[1,2,3,4,10,38,83,84,85,117],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,39,40,41,42,43,44,45,46,47,48,49,50,51,52,
53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,86,87,88,89,90,
91,92,93,94,95,96,97,98,99,100,118],[1,2,9,36,38,85,101,119],[1,4,9,35,38,84,
101,120],[1,3,9,34,38,83,101,121],[1,2,3,4,5,6,7,8,9,10,12,13,15,16,17,18,19,
20,21,24,29,34,35,36,40,42,43,50,53,55,69,75,76,87,104,107,109,122],[1,4,5,6,
7,8,9,11,14,15,19,20,21,22,25,29,33,35,37,39,45,49,53,58,64,72,74,82,88,102,
103,110,123],[1,2,3,4,5,6,7,8,9,10,11,13,15,16,18,19,23,24,25,28,30,34,35,36,
39,41,44,50,54,56,57,74,76,86,103,105,106,124],[1,2,5,6,7,8,9,12,13,14,16,21,
25,26,28,30,31,36,37,43,51,57,60,61,64,73,75,81,99,104,113,115,125],[1,2,5,7,
9,11,12,13,21,22,23,27,32,33,36,43,44,46,49,52,59,65,75,79,93,104,112,114,
126],[1,2,5,7,9,11,12,13,21,22,23,27,32,33,36,43,44,46,49,52,59,65,74,79,93,
106,108,110,127],[1,2,5,6,7,8,9,11,13,14,16,17,20,23,26,29,31,36,37,44,47,51,
58,62,63,69,74,81,100,102,106,111,128],[1,3,5,6,7,8,9,11,17,18,21,22,24,26,28,
29,31,33,34,41,49,55,61,62,67,70,74,80,95,105,110,111,129],[1,3,6,7,9,11,12,
14,20,24,27,28,32,34,37,40,41,48,52,58,60,66,74,77,98,102,105,108,130],[1,3,6,
7,9,11,12,14,20,24,27,28,32,34,37,40,41,48,52,58,60,66,75,77,98,109,114,115,
131],[1,3,5,6,7,8,9,12,18,20,22,23,24,25,26,30,31,33,34,40,47,56,65,67,72,73,
75,80,97,109,112,113,132],[1,4,5,6,7,8,9,12,14,15,17,19,22,23,28,30,33,35,37,
42,45,54,60,63,65,70,75,82,89,107,112,115,133],[1,4,7,8,9,11,12,15,17,25,26,
27,31,32,35,39,42,52,62,68,71,73,75,78,94,107,113,114,134],[1,4,7,8,9,11,12,
15,17,25,26,27,31,32,35,39,42,52,62,68,71,73,74,78,94,103,108,111,135],[1,2,3,
4,9,10,34,35,36,38,76,83,84,85,101,117,119,120,121,136],[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,
37,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,73,75,76,77,78,79,80,81,82,86,87,88,89,90,91,92,93,
94,95,96,97,98,99,100,104,107,109,112,113,114,115,116,118,122,125,126,131,132,
133,134,137],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,49,50,51,
52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,76,77,78,
79,80,81,82,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,102,103,105,106,108,
110,111,116,118,123,124,127,128,129,130,135,138],[1,7,9,11,12,27,32,38,52,74,
75,101,108,114,139],[1,2,5,7,9,11,12,13,21,22,23,27,32,33,36,38,43,44,46,49,
52,59,65,74,75,79,85,93,101,104,106,108,110,112,114,119,126,127,139,140],[1,3,
6,7,9,11,12,14,20,24,27,28,32,34,37,38,40,41,48,52,58,60,66,74,75,77,83,98,
101,102,105,108,109,114,115,121,130,131,139,141],[1,4,7,8,9,11,12,15,17,25,26,
27,31,32,35,38,39,42,52,62,68,71,73,74,75,78,84,94,101,103,107,108,111,113,
114,120,134,135,139,142],[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]],
0,
[[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],[1,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,1,1,1],[1,1,1,1,
1],[1,2,1,1],[1,2,1,1],[1,1,1],[1,2,1,1],[1,1,1,1,1],[1,1,2,1],[1,1,1],[1,1,
1],[1,2,1,1],[1,1,1,1,1],[1,1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[
1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,
3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,1,1,1,1,1,
1,1],[1,1,1,1,1,1,1,1],[1,2,2,1,1,1,1,1],[1,4,1,1,1,1,1],[1,2,3,1,1,1,1],[1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,5,1,1,1,1],[1,1,2,2,1,1,1,2,
1,1,2,1],[1,1,2,2,1,1,1,2,1,1,2,1],[1,1,2,1,1,2,1,2,1,1,2,1],[1,1,2,1,1,2,2,1,
1,1,2,1],[1,1,1,2,1,2,1,2,1,1,2,1],[1,2,3,1,1,1,1],[1,4,1,1,1,1,1],[1,2,3,1,1,
1,1],[1,2,2,1,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,2,1,1,1,1],[1,
2,3,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,4,1,1,1,1],[1,1,1,2,1,2,
1,2,1,1,2,1],[1,2,1,2,1,1,1,1],[1,1,1,1,1,1,1,1],[1,2,1,2,1,1,1,1],[1,3,2,1,1,
1,1],[1,3,4,1,1],[1,3,4,1,1],[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],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,
1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1,3,3,3,3,1,1,
3,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,3,3,3,3,3,6,
1,1,1,3,3,3,3,1],[1,1,2,2,3,3,1,1,3,2,1,1,1,3,2,1,1,1,1,1,1,1,1],[1,1,2,2,3,3,
1,1,3,3,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,4,1,1,1,4,1,1,1,1,1,1,2,2,1,1,1,1,1,
1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,1,4,1,4,1,
4,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,5,3,1,3,1,1,1,1,1,1,1,1,1],[1,
1,5,5,1,1,5,3,3,1,1,1,1,1,1,1,1,1,1],[1,1,2,3,3,2,1,1,2,1,1,3,1,3,2,1,1,1,1,1,
1,1,1],[1,1,4,1,1,4,1,1,4,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,3,3,2,1,2,3,1,
1,3,1,1,2,1,1,1,1,1,1,1,1],[1,1,5,5,1,1,1,3,5,1,3,1,1,1,1,1,1,1,1],[1,1,3,2,3,
2,1,3,1,2,3,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,3,2,3,2,1,3,1,2,1,1,3,1,2,1,1,1,1,1,
1,1,1],[1,7,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,
1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,1,3,3,4,
1,3,3,4,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,1,3,3,4,1,3,3,4,1,1,1],[1,6,3,4,1,3,3,
4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,
1],[1,9,4,3,1,3,4,3,1,1],[1,6,3,4,1,3,3,4,3,1,1],[1,1,1,1,3,3,3,3,1,1,3,3,3,3,
3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[1,1,1,1,5,5,5,5,1,
1,1,5,1,5,5,3,5,5,3,3,1,3,5,3,1,1,3,6,6,1,1,1,1,1,1,1,1,1,1,1,5,1,1,3,3,3,3,3,
1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,7,7,1,1,
1,1],[1,1,7,7,1,1,1,1],[1,1,7,7,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,
3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,6,6,3,3,4,1,3,3,6,3,3,3,3,6,4,4,
4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,1,1,3,3,3,3,4,1,1,3,3,3,3,3,3,3,3,3,6,4,4,
4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,3,6,3,6,4,1,3,3,6,3,3,3,3,6,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,9,3,3,9,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,9,9,4,1,3,9,9,3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,3,6,3,6,4,
1,3,3,6,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,3,3,6,4,1,3,6,3,3,
3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,3,9,9,3,3,4,4,4,3,1,
3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,1,3,3,9,3,9,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,6,3,3,6,4,1,6,3,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,6,6,3,3,4,1,3,3,3,6,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,3,
1,9,3,9,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,9,9,4,1,3,9,9,3,3,3,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,1,1,7,1,7,7,7,1,7,1,1,1,1,1,1,1,1,1],[1,1,1,
1,9,9,9,9,4,1,3,1,9,3,9,9,3,9,9,3,3,3,9,9,9,3,3,9,6,18,4,4,4,4,4,4,4,3,1,3,1,
1,3,3,3,3,3,3,9,3,3,3,9,3,9,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,4,4,4,4,
3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,1,1,9,9,
9,9,4,1,1,3,9,3,9,9,9,9,9,9,9,3,3,9,3,3,3,3,18,6,4,4,4,4,4,4,4,1,3,1,3,3,1,3,
3,3,3,3,9,3,3,9,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,1,4,4,4,4,4,4,4,1,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,21,28,7,7,21,28,
8,21,7,7,8,7,7,1],[1,1,21,21,28,7,7,21,21,21,21,21,28,28,28,8,7,7,21,21,21,21,
21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,21,28,7,7,21,21,21,21,21,28,
28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,1,21,21,28,
7,7,21,21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,
7,7,1,1],[1,1,1,1,21,21,21,21,28,1,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,
21,21,21,42,42,28,28,28,28,28,28,28,8,7,7,7,7,7,7,21,21,21,21,21,21,21,21,21,
21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,7,7,28,28,28,28,
28,28,28,8,8,8,7,7,21,21,21,21,21,21,21,21,21,21,21,21,21,8,7,7,7,7,7,7,7,7,7,
7,7,7,7,7,28,8,21,8,8,8,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,7,7,1,1,1,1,1]],
[1,2,2,2,2,2,2,2,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,7,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,12,12,
12,12,12,12,12,12,12,14,14,14,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,21,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,28,32,42,42,42,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,84,96,96,168,336,336,336,672],
[143,143,143,143,118,118,118,118,116,143,138,137,118,118,118,118,118,118,118,
118,118,118,118,118,118,118,118,118,87,86,116,116,116,116,116,116,116,136,138,
137,138,137,137,138,118,118,118,118,118,118,118,118,118,118,118,118,118,118,
118,118,118,118,118,118,118,118,118,118,118,118,118,118,118,138,137,116,116,
116,116,116,116,116,136,136,136,138,137,118,118,118,118,118,118,118,118,118,
118,118,118,118,136,138,138,137,138,138,137,138,137,138,138,137,137,137,137,
116,136,118,136,136,136,137,138,138,137,137,138,138,138,138,137,137,137,137,
138,136,137,138,143,143,143,143,143],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,9,9,9,1,1,1,9,1,
1,1,1,1,1,1,1,1,7,7,7,1,1,7,1,1,1,1,1,7,7,7,7,7,7,7,7,1,1,7,1,7,1,7,7,11,12,1,
9,9,9,9,9,9,1,1,1,1,1,7,7,7,1,7,7,7,7,7,7,7,7,7,38,74,11,12,11,11,12,74,12,74,
74,75,75,75,75,9,1,7,38,38,38,12,74,11,75,75,74,74,74,74,75,75,75,75,74,38,75,
74,139,139,139,139,139],
[ ( 1,176,166,104)( 2,220, 83,148)( 3,219, 84,147)( 4,175,165,107)
( 5,224, 48, 95)( 6, 62, 99,112)( 7,215,161, 63)( 8,204,217, 22)
( 9,203,218, 29)( 10,216,162, 64)( 11,180,145, 97)( 12, 32, 38, 23)
( 13, 31, 39, 24)( 14,181,146, 98)( 15, 59, 96,111)( 16,223, 47,100)
( 17, 37,109, 27)( 18, 91,116,154)( 19, 94,113,151)( 20, 34,108, 26)
( 21, 76,122,194)( 25,200, 65, 85)( 28,199, 66, 86)( 30, 75,121,193)
( 33,221, 36, 90)( 35, 89, 40,222)( 41,186,174,179)( 42,185,173,182)
( 43,160,211, 53)( 44, 88,130, 49)( 45, 87,129, 56)( 46,159,212, 54)
( 50,132,206,201)( 51,131,205,202)( 52,195,103,125)( 55,196,110,126)
( 57,102,197,158)( 58,101,198,157)( 60, 72,210,134)( 61, 71,209,133)
( 67, 82,128,119)( 68, 79,170,187)( 69, 80,169,188)( 70, 81,127,120)
( 73,106,177,168)( 74,105,178,167)( 77,115,123,189)( 78,114,124,190)
( 92,184,172,138)( 93,183,171,137)(117,139,164,208)(118,140,163,207)
(135,141,214,153)(136,142,213,152)(143,155,191,149)(144,156,192,150),
( 1,207, 30,154)( 2, 80,210, 50)( 3, 79,209, 51)( 4,208, 21,151)
( 5,164, 44,180)( 6,170, 89, 73)( 7,203, 96,133)( 8,201,127,144)
( 9,202,128,143)( 10,204, 99,134)( 11, 76,115, 95)( 12,190,117, 37)
( 13,189,118, 34)( 14, 75,114,100)( 15,169, 90, 74)( 16,163, 45,181)
( 17, 32,194,129)( 18,145,198, 26)( 19,146,197, 27)( 20, 31,193,130)
( 22,142, 36, 84)( 23,101, 47,199)( 24,102, 48,200)( 25,138,160,122)
( 28,137,159,121)( 29,141, 35, 83)( 33, 67, 72,182)( 38, 92, 97, 91)
( 39, 93, 98, 94)( 40, 70, 71,179)( 41,213,191,188)( 42,214,192,187)
( 43, 66,211,175)( 46, 65,212,176)( 49, 53,157,104)( 52,185,148,218)
( 54,158,107, 56)( 55,186,147,217)( 57,172,123,140)( 58,171,124,139)
( 59,132,125,173)( 60,119,153,110)( 61,120,152,103)( 62,131,126,174)
( 63,206,177,136)( 64,205,178,135)( 68,105,215,167)( 69,106,216,168)
( 77, 86,113, 88)( 78, 85,116, 87)( 81,112,220,150)( 82,111,219,149)
(108,165,223,184)(109,166,224,183)(155,222,195,162)(156,221,196,161) ],
[[[[]]],[[[1,-2],[1,1,2,1],[3,1,2,1,4,1,1,1,2,-1,3,1,4,-1]]],[[[1,1,2,1],[3,1,
2,1,1,-2,3,-1,1,-1,2,-2]]],[[[1,1,2,1],[3,1,2,1,1,1,3,-2,2,-1]]],[[[1,1,2,1],[
2,1,3,3]]],[[[1,-2,2,-2,1,1,2,1]]],[[[1,-2]]],[[[1,1,2,1],[3,3,1,1]]],[[[2,-2,
1,-2]]],[[[1,1,2,1],[3,1,2,1,1,-2,3,-1,1,-1,2,-2]],[[1,1,2,1],[3,1,2,1,1,1,3,
-2,2,-1]]],[[[2,1,1,1,2,-1,1,1,2,-2]],[[1,-2],[2,-1,3,1,2,1]]],[[[1,-2],[3,1,
2,1,3,1,2,-1,3,1]],[[2,1,1,-2,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,1,3,1]],[[1,
1,2,-1],[3,1,1,-2,3,-1]]],[[[2,1,1,-1]]],[[[1,-2],[3,1,2,-1,1,-1,3,1,2,1,1,-1,
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LIBTOM( "2^2.(3^2:Q8)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,2,4,8,10],[1,3,4,7,
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46,54,57,60,66],[1,2,4,8,9,10,24,25,26,43,44,54,55,59,67],[1,6,9,20,29,43,56,
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29,43,48,54,56,58,73],[1,7,9,13,23,43,60,74],[1,6,7,8,9,16,23,25,29,43,49,55,
56,60,75],[1,4,5,6,9,12,14,15,26,27,29,32,43,47,56,57,59,63,65,69,76],[1,3,5,
8,9,12,18,25,27,28,36,43,50,55,57,58,64,65,77],[1,2,5,7,9,12,14,17,23,24,27,
40,43,46,54,57,60,63,65,66,78],[1,2,3,4,5,6,7,8,9,10,11,15,16,17,18,19,23,24,
25,26,27,28,29,31,43,44,45,46,47,48,49,50,54,55,56,57,58,59,60,61,64,66,67,69,
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55,57,58,63,64,82],[1,2,3,6,9,19,21,24,28,29,34,43,48,54,56,58,70,73,83],[1,2,
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27,29,38,43,47,56,57,59,68,69,70,85],[1,6,7,8,9,13,16,22,23,25,29,42,43,49,55,
56,60,72,74,75,86],[1,6,7,8,9,16,20,21,23,25,29,33,43,49,55,56,60,68,70,75,
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48,49,50,53,54,55,56,57,58,59,60,61,64,66,67,69,71,72,73,74,75,79,80,84,86,88,
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34,38,41,43,44,45,46,47,48,49,50,52,54,55,56,57,58,59,60,61,64,66,67,68,69,70,
71,73,75,79,81,83,85,87,90],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,16,17,18,19,23,
24,25,26,27,28,29,31,32,36,39,40,43,44,45,46,47,48,49,50,51,54,55,56,57,58,59,
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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,
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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],[
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36,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,
144,288],
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79,61,61,61,53,62,51,52,62,62,62,62,52,62,51,62,53,92,79,61,61,61,61,61,61,62,
62,62,92,92,92,92,92,92,92,61,62,91,92,91,92,92,90,92,90,92,89,92,89,92,91,92,
91,92,92,92,92,92,89,90,89,90,92,92,92,92,92],
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[ ( 1, 63, 50, 53)( 2, 77, 42, 16)( 3, 78, 41, 5)( 4, 64, 51, 54)
( 6,213, 58,217)( 7,189, 71,206)( 8,120, 24,184)( 9,119, 23,183)
( 10,190, 72,205)( 11,158, 60,103)( 12,117)( 13,118)( 14,157, 61,110)
( 15,214, 57,218)( 17,123)( 18, 30, 35, 55)( 19, 21, 36, 52)( 20,124)
( 22,167, 83,156)( 25,164, 86,142)( 26, 68, 66, 70)( 27, 69, 65, 67)
( 28,163, 85,141)( 29,168, 84,155)( 31,211, 76, 93)( 32,212, 75, 92)
( 33,201)( 34,144, 89,187)( 37,143, 90,188)( 38,165, 62,104)
( 39,166, 59,107)( 40,202)( 43,198, 45,140)( 44,139, 46,197)( 47,116)
( 48,113)( 49, 98, 74,171)( 56, 97, 73,172)( 79,161)( 80,162)
( 81,207, 88,179)( 82,208, 87,182)( 91,196,109,204)( 94,195,108,203)
( 95,102,132,147)( 96,193,185,135)( 99,194,186,136)(100,101,131,148)
(105,125,209,174)(106,126,210,173)(111,133)(112,134)(114,216,176,128)
(115,215,175,127)(121,149,220,145)(122,150,219,146)(129,138,181,178)
(130,137,180,177)(151,224)(152,191)(153,192)(154,223)(159,199,169,221)
(160,200,170,222), ( 1,111, 60,102)( 2,211,222, 68)( 3,212,221, 69)
( 4,112, 61,101)( 5,133, 98, 26)( 6, 8,202, 84)( 7,207, 96, 81)
( 9,201, 83, 15)( 10,208, 99, 82)( 11, 45, 42, 38)( 12, 20,117,123)
( 13, 17,118,124)( 14, 44, 41, 39)( 16,134, 97, 27)( 18,110,198, 47)
( 19,103,197, 48)( 21,199,152,150)( 22,143, 87, 89)( 23,213,119,188)
( 24,214,120,187)( 25, 54, 31,171)( 28, 53, 32,172)( 29,144, 88, 90)
( 30,200,153,149)( 33,126,136,179)( 34, 79,186,156)( 35,169, 86, 78)
( 36,170, 85, 77)( 37, 80,185,155)( 40,125,135,182)( 43, 50,215,195)
( 46, 51,216,196)( 49,148,138, 52)( 55, 56,147,137)( 57,167,193,105)
( 58,168,194,106)( 59,224, 67,178)( 62,223, 70,177)( 63,166,108,131)
( 64,165,109,132)( 65,121,176,158)( 66,122,175,157)( 71,184,205,173)
( 72,183,206,174)( 73,142,113,127)( 74,141,116,128)( 75,154,100,220)
( 76,151, 95,219)( 91,192,181,115)( 92,204,163,146)( 93,203,164,145)
( 94,191,180,114)(104,159,140,129)(107,160,139,130)(161,217,209,189)
(162,218,210,190) ],
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LIBTOM( "2^2.(3^2:2A4)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,2,8],[1,2,3,4,9],[1,2,4,10],[1,4,
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3,1,22,22,8,22,22,8,22,22,22,22,22,22,25,38,25,22,39,31,57],
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( 6, 72,323)( 7, 8,288)( 9, 25,158)( 10,281,233)( 11,312,203)
( 12, 28, 94)( 13,262,228)( 14,156,261)( 15,274,130)( 16,316,157)
( 17,134, 71)( 18,333,309)( 19,303,330)( 20,179,180)( 21,275,152)
( 22,238,172)( 24,259, 40)( 26,295, 77)( 27,121,182)( 29,113, 93)
( 30,234,211)( 31,291,242)( 32,186,265)( 33,243,125)( 34,287,325)
( 35,163,237)( 36,111,328)( 37,235,155)( 38,117,241)( 39,321,116)
( 42,177,283)( 43,139,313)( 44,120, 66)( 45,334,133)( 46,240, 92)
( 47, 90,127)( 48,286,311)( 49,148,167)( 50, 70,279)( 51,297,166)
( 52, 74,296)( 54,300,219)( 55, 88,190)( 56,205,305)( 57,160,188)
( 58,136,267)( 59,324,123)( 60,220,142)( 61, 62, 68)( 63,204,126)
( 64,301,103)( 65,225,206)( 67,299,276)( 69,122,317)( 73,118,277)
( 75,250,165)( 76,135,249)( 78,293,294)( 79,137,268)( 80,278,106)
( 81,230,298)( 82, 87,194)( 83,140,109)( 84,302,292)( 85, 91,191)
( 86,272,193)( 89,314,189)( 95,244,226)( 96,154,183)( 97,104,336)
( 98,227,101)(102,285,149)(105,214,335)(107,266,213)(108,141,197)
(110,221,147)(112,200,271)(114,284,331)(115,201,215)(124,222,212)
(128,129,254)(131,162,319)(132,326,273)(138,153,196)(143,264,260)
(144,169,251)(145,256,168)(146,187,307)(150,175,176)(151,263,171)
(161,231,270)(164,178,236)(170,239,247)(173,290,229)(174,198,181)
(184,185,280)(192,322,217)(199,218,253)(202,210,289)(207,208,258)
(209,257,320)(216,327,315)(223,304,318)(232,308,332)(245,255,269)
(246,306,282)(252,329,310), ( 1,267,169)( 2,290,130)( 3, 32,111)
( 4,336,295)( 5, 79,294)( 6,326,260)( 7,206,273)( 8,241,329)
( 9,177,190)( 10,315,225)( 11,127,121)( 12, 40,324)( 13,180, 49)
( 14,156,188)( 15,145, 69)( 16,261,157)( 17,134,120)( 18,215, 48)
( 19,325, 35)( 20, 46,263)( 21, 31,243)( 22,110, 88)( 23,226,305)
( 24,102,242)( 25, 85,285)( 26,248,144)( 27,205, 52)( 28,327,105)
( 29,276,103)( 30,335,135)( 33,252,249)( 34,311,191)( 36, 94,245)
( 37,316,155)( 38,142,211)( 39,222, 42)( 41,332, 55)( 43,199, 99)
( 44,118, 77)( 45,220,172)( 47,152,223)( 50,306,227)( 51,297, 67)
( 53,330,312)( 54,184,101)( 56,304,123)( 57,160,235)( 58,300, 66)
( 59,275,268)( 60,292,234)( 61,167,174)( 62,147,333)( 63,251,122)
( 64,195,282)( 65,161,240)( 68,159,262)( 70,166,230)( 71,109,165)
( 72,259,293)( 73, 75,173)( 74,264, 92)( 76,281,200)( 78,214,213)
( 80,183,194)( 81,154,317)( 82, 87,229)( 83,204,253)( 84,323,266)
( 86,331,287)( 89,207,124)( 90,163,208)( 91,181,171)( 93,146,119)
( 95,209,231)( 96,299,274)( 97,168,113)( 98,218,239)(100,247,256)
(104,197,136)(106,250,139)(107,193,308)(108,185,280)(112,244,221)
(114,164,138)(115,265,198)(116,149,302)(117,286,153)(125,217,162)
(126,278,128)(129,298,170)(131,192,175)(132,137,258)(133,283,255)
(140,219,224)(141,301,279)(143,284,272)(148,189,150)(151,257,291)
(158,202,237)(176,321,334)(178,216,186)(179,203,182)(187,313,277)
(196,201,238)(210,328,212)(228,322,271)(232,303,289)(233,310,320)
(236,296,270)(246,254,307)(269,318,319)(288,314,309) ],
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[ ( 1,274,154)( 2,223, 98)( 3,181, 40)( 4,279,182)( 5,326,333)
( 6,199,180)( 7, 22,325)( 8,202,318)( 9,328,124)( 10,287,192)
( 11,327,295)( 12, 94,236)( 13,259,294)( 14,232,243)( 15, 56, 35)
( 16,275,175)( 17, 61,134)( 18,304, 81)( 19,135,177)( 20, 77,242)
( 21,306,133)( 23, 83,271)( 24,198,105)( 25, 67,323)( 26,253,215)
( 27,222,234)( 28,270,173)( 29, 91,302)( 30,201,157)( 31, 36, 52)
( 32,283,141)( 33,207,305)( 34,155,200)( 37,172, 46)( 38,290,303)
( 39,136,119)( 41,261,162)( 42,178, 47)( 43,307,291)( 44,277,218)
( 45,191,216)( 48,143,160)( 49,257,120)( 50,313,301)( 51,293,297)
( 53, 55, 68)( 54,310,132)( 57,312,123)( 58,219, 69)( 59,113,129)
( 60,146, 75)( 62,266,174)( 63,217, 96)( 64,128,276)( 65,203,220)
( 66,212,165)( 70,299,225)( 71, 95,262)( 72,151,260)( 73,250,282)
( 74,320,176)( 76,127,197)( 78,335,244)( 79,147,189)( 80,319, 92)
( 82,184, 90)( 84,148,254)( 85,246, 99)( 86,300,247)( 87,164,108)
( 88,251,145)( 89,284,170)( 93,211,111)( 97,317,230)(100,193,112)
(101,114,321)(102,121,188)(103,152,115)(104,153,278)(106,289,239)
(107,168,159)(109,248,224)(110,298,308)(116,156,205)(117,161,245)
(118,286,324)(122,322,332)(125,272,210)(126,227,281)(130,336,240)
(131,204,273)(137,329,258)(138,208,233)(139,296,311)(140,268,196)
(142,316,171)(144,214,228)(149,179,195)(150,167,285)(158,264,334)
(163,288,309)(166,190,213)(169,226,256)(183,237,314)(185,194,241)
(186,255,265)(187,263,292)(206,209,315)(221,235,331)(229,280,269)
(231,249,330)(238,252,267), ( 1,100,224)( 2,119,248)( 3,159, 53)
( 4,195, 99)( 5, 23, 41)( 6, 72,323)( 7, 8,288)( 9, 25,158)
( 10,281,233)( 11,312,203)( 12, 28, 94)( 13,262,228)( 14,156,261)
( 15,274,130)( 16,316,157)( 17,134, 71)( 18,333,309)( 19,303,330)
( 20,179,180)( 21,275,152)( 22,238,172)( 24,259, 40)( 26,295, 77)
( 27,121,182)( 29,113, 93)( 30,234,211)( 31,291,242)( 32,186,265)
( 33,243,125)( 34,287,325)( 35,163,237)( 36,111,328)( 37,235,155)
( 38,117,241)( 39,321,116)( 42,177,283)( 43,139,313)( 44,120, 66)
( 45,334,133)( 46,240, 92)( 47, 90,127)( 48,286,311)( 49,148,167)
( 50, 70,279)( 51,297,166)( 52, 74,296)( 54,300,219)( 55, 88,190)
( 56,205,305)( 57,160,188)( 58,136,267)( 59,324,123)( 60,220,142)
( 61, 62, 68)( 63,204,126)( 64,301,103)( 65,225,206)( 67,299,276)
( 69,122,317)( 73,118,277)( 75,250,165)( 76,135,249)( 78,293,294)
( 79,137,268)( 80,278,106)( 81,230,298)( 82, 87,194)( 83,140,109)
( 84,302,292)( 85, 91,191)( 86,272,193)( 89,314,189)( 95,244,226)
( 96,154,183)( 97,104,336)( 98,227,101)(102,285,149)(105,214,335)
(107,266,213)(108,141,197)(110,221,147)(112,200,271)(114,284,331)
(115,201,215)(124,222,212)(128,129,254)(131,162,319)(132,326,273)
(138,153,196)(143,264,260)(144,169,251)(145,256,168)(146,187,307)
(150,175,176)(151,263,171)(161,231,270)(164,178,236)(170,239,247)
(173,290,229)(174,198,181)(184,185,280)(192,322,217)(199,218,253)
(202,210,289)(207,208,258)(209,257,320)(216,327,315)(223,304,318)
(232,308,332)(245,255,269)(246,306,282)(252,329,310) ],
[[[[]]],[[[2,1,1,1,2,1,1,1,2,1,1,1]]],[[[1,-1,2,1,1,-1,2,-1,1,1,2,1]]],[[[2,1,
1,1,2,1,1,1]]],[[[2,1]]],[[[1,1]]],[[[1,1,2,1],[3,1,1,1,2,1,3,1]],[[2,1,1,1,2,
1,1,1,2,1,1,1]]],[[[1,-1,2,-1]]],[[[2,1,1,-1,2,1,1,-1,2,1,1,-1]]],[[[2,1,1,-1,
2,1,1,-1,2,1]],[[2,1,1,1,2,1,1,1]]],[[[2,1,1,1,2,-1,1,1,2,-1,1,-1]],[[1,-1,2,
1,1,1,2,-1,1,1,2,-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,-1,2,1]]],[[[1,1,2,1],[3,1,1,1,2,
1,3,1]],[[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]]],[[[1,-1,2,1,1,1,2,1]],[[1,1,2,-1,1,-1,2,-1]]],[[[2,1,1,
-1,2,1,1,-1,2,1]],[[1,-1]]],[[[1,1,2,-1]]],[[[2,-1,1,1,2,1,1,-1]],[[1,1,2,1,1,
-1,2,-1]]],[[[1,1,2,1,1,-1,2,1]],[[2,1,1,1]]],[[[1,-1,2,-1,1,-1,2,-1]],[[1,1,
2,1]]],[[[2,1,1,1,2,1]],[[1,-1]]],[[[2,1,1,1]],[[2,-1,1,-1]]],[[[1,1,2,-1,1,
-1]],[[2,-1]]],[[[1,-1,2,1]],[[2,1,1,-1]]],[[[2,-1,1,1,2,1]],[[1,1]]],[[[1,
1]],[[2,1]]]]);
LIBTOM( "2^2.(3^2:2S4)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,2,9],[1,2,3,4,10],[1,2,4,
11],[1,2,12],[1,2,5,13],[1,4,14],[1,4,15],[1,4,5,16],[1,3,5,17],[1,2,6,18],[1,
3,6,19],[1,5,6,20],[1,4,6,21],[1,5,7,22],[1,5,6,23],[1,5,8,24],[1,3,7,25],[1,
5,7,26],[1,2,3,4,9,10,11,27],[1,2,3,4,10,15,28],[1,2,3,4,10,14,29],[1,2,5,9,
12,13,30],[1,2,3,4,5,10,13,16,17,31],[1,2,3,4,10,12,32],[1,4,5,15,16,33],[1,2,
4,11,14,15,34],[1,2,4,5,11,12,13,35],[1,4,14,36],[1,6,37],[1,6,7,38],[1,6,8,
39],[1,2,6,9,18,40],[1,2,5,6,13,18,20,41],[1,2,7,9,42],[1,2,6,12,18,43],[1,2,
8,9,44],[1,2,3,4,6,10,18,19,21,45],[1,2,4,6,11,18,21,46],[1,2,6,12,18,47],[1,
2,5,6,13,18,23,48],[1,3,5,6,17,19,20,23,49],[1,4,5,6,16,20,21,23,50],[1,3,5,7,
17,22,25,26,51],[1,2,3,4,5,10,13,15,16,17,28,31,33,52],[1,2,3,4,9,10,11,14,15,
27,28,29,34,53],[1,2,3,4,10,12,15,28,32,54],[1,2,3,4,10,14,29,36,55],[1,2,3,4,
5,9,10,11,12,13,16,17,27,30,31,32,35,56],[1,2,3,4,5,10,12,13,14,16,17,29,31,
32,57],[1,3,6,19,37,58],[1,4,6,21,37,59],[1,2,6,18,37,60],[1,5,6,7,20,26,38,
61],[1,5,6,20,23,37,62],[1,3,6,7,19,25,38,63],[1,5,6,7,22,23,38,64],[1,5,6,8,
23,24,39,65],[1,2,3,4,6,9,10,11,18,19,21,27,40,45,46,66],[1,2,5,7,9,12,13,22,
30,42,67],[1,2,5,6,9,12,13,18,20,30,40,41,43,68],[1,2,5,8,9,12,13,24,30,44,
69],[1,2,4,5,6,11,12,13,18,20,21,35,41,46,47,70],[1,2,3,4,7,9,10,11,25,27,42,
71],[1,2,3,4,5,6,10,13,16,17,18,19,20,21,23,31,41,45,48,49,50,72],[1,2,5,7,9,
12,13,26,30,42,73],[1,2,3,4,6,10,12,18,19,21,32,43,45,47,74],[1,2,4,5,6,11,12,
13,18,21,23,35,43,46,48,75],[1,2,5,6,9,12,13,18,23,30,40,47,48,76],[1,6,7,8,
37,38,39,77],[1,2,3,4,9,10,11,14,15,27,28,29,34,53,78],[1,2,3,4,9,10,11,14,15,
27,28,29,34,36,53,55,79],[1,2,3,4,5,9,10,11,12,13,14,15,16,17,27,28,29,30,31,
32,33,34,35,52,53,54,56,57,80],[1,2,6,9,18,37,40,60,81],[1,2,4,6,11,18,21,37,
46,59,60,82],[1,2,3,4,6,10,18,19,21,37,45,58,59,60,83],[1,2,6,7,9,18,38,40,42,
84],[1,4,6,15,21,37,59,85],[1,4,6,14,21,37,59,86],[1,2,6,8,9,18,39,40,44,87],[
1,4,5,6,16,20,21,23,37,50,59,62,88],[1,2,5,6,13,18,20,23,37,41,48,60,62,89],[
1,3,5,6,17,19,20,23,37,49,58,62,90],[1,2,6,12,18,37,43,47,60,91],[1,3,5,6,7,
17,19,20,22,23,25,26,38,49,51,61,63,64,92],[1,2,3,4,5,6,9,10,11,12,13,16,17,
18,19,20,21,23,27,30,31,32,35,40,41,43,45,46,47,48,49,50,56,66,68,70,72,74,75,
76,93],[1,2,3,4,5,7,9,10,11,12,13,16,17,22,25,26,27,30,31,32,35,42,51,56,67,
71,73,94],[1,5,6,7,8,20,22,23,24,37,38,39,62,64,65,77,95],[1,3,6,7,8,19,25,37,
38,39,58,63,77,96],[1,5,6,7,8,20,23,26,37,38,39,61,62,77,97],[1,2,3,4,5,9,10,
11,12,13,14,15,16,17,27,28,29,30,31,32,33,34,35,36,52,53,54,55,56,57,78,79,80,
98],[1,2,3,4,6,9,10,11,18,19,21,27,37,40,45,46,58,59,60,66,81,82,83,99],[1,2,
3,4,6,10,15,18,19,21,28,37,45,58,59,60,83,85,100],[1,2,3,4,6,10,14,18,19,21,
29,37,45,58,59,60,83,86,101],[1,2,5,6,7,9,12,13,18,20,26,30,38,40,41,42,43,61,
68,73,84,102],[1,2,3,4,5,6,10,13,16,17,18,19,20,21,23,31,37,41,45,48,49,50,58,
59,60,62,72,83,88,89,90,103],[1,2,3,4,6,10,12,18,19,21,32,37,43,45,47,58,59,
60,74,83,91,104],[1,2,5,6,9,12,13,18,20,23,30,37,40,41,43,47,48,60,62,68,76,
81,89,91,105],[1,2,3,4,6,7,9,10,11,18,19,21,25,27,38,40,42,45,46,63,66,71,84,
106],[1,2,4,5,6,11,12,13,18,20,21,23,35,37,41,43,46,47,48,59,60,62,70,75,82,
89,91,107],[1,2,5,6,7,9,12,13,18,22,23,30,38,40,42,47,48,64,67,76,84,108],[1,
2,4,6,11,14,15,18,21,34,37,46,59,60,82,85,86,109],[1,4,5,6,15,16,20,21,23,33,
37,50,59,62,85,88,110],[1,4,6,14,21,36,37,59,86,111],[1,2,5,6,8,9,12,13,18,23,
24,30,39,40,44,47,48,65,69,76,87,112],[1,2,3,4,7,9,10,11,14,15,25,27,28,29,34,
42,53,71,78,113],[1,2,6,7,8,9,18,37,38,39,40,42,44,60,77,81,84,87,114],[1,3,5,
6,7,8,17,19,20,22,23,24,25,26,37,38,39,49,51,58,61,62,63,64,65,77,90,92,95,96,
97,115],[1,2,3,4,6,9,10,11,14,15,18,19,21,27,28,29,34,37,40,45,46,53,58,59,60,
66,81,82,83,85,86,99,100,101,109,116],[1,2,3,4,5,6,10,13,15,16,17,18,19,20,21,
23,28,31,33,37,41,45,48,49,50,52,58,59,60,62,72,83,85,88,89,90,100,103,110,
117],[1,2,3,4,6,10,12,15,18,19,21,28,32,37,43,45,47,54,58,59,60,74,83,85,91,
100,104,118],[1,2,3,4,5,6,9,10,11,12,13,16,17,18,19,20,21,23,27,30,31,32,35,
37,40,41,43,45,46,47,48,49,50,56,58,59,60,62,66,68,70,72,74,75,76,81,82,83,88,
89,90,91,93,99,103,104,105,107,119],[1,2,3,4,5,6,10,12,13,14,16,17,18,19,20,
21,23,29,31,32,37,41,43,45,47,48,49,50,57,58,59,60,62,72,74,83,86,88,89,90,91,
101,103,104,120],[1,2,3,4,6,10,14,18,19,21,29,36,37,45,55,58,59,60,83,86,101,
111,121],[1,2,3,4,5,6,7,9,10,11,12,13,16,17,18,19,20,21,22,23,25,26,27,30,31,
32,35,38,40,41,42,43,45,46,47,48,49,50,51,56,61,63,64,66,67,68,70,71,72,73,74,
75,76,84,92,93,94,102,106,108,122],[1,2,3,4,5,7,9,10,11,12,13,14,15,16,17,22,
25,26,27,28,29,30,31,32,33,34,35,36,42,51,52,53,54,55,56,57,67,71,73,78,79,80,
94,98,113,123],[1,2,5,6,7,8,9,12,13,18,20,23,26,30,37,38,39,40,41,42,43,44,47,
48,60,61,62,68,73,76,77,81,84,87,89,91,97,102,105,114,124],[1,2,5,6,7,8,9,12,
13,18,20,22,23,24,30,37,38,39,40,41,42,43,44,47,48,60,62,64,65,67,68,69,76,77,
81,84,87,89,91,95,105,108,112,114,125],[1,2,3,4,6,7,8,9,10,11,18,19,21,25,27,
37,38,39,40,42,44,45,46,58,59,60,63,66,71,77,81,82,83,84,87,96,99,106,114,
126],[1,2,3,4,6,9,10,11,14,15,18,19,21,27,28,29,34,37,40,45,46,53,58,59,60,66,
78,81,82,83,85,86,99,100,101,109,116,127],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,
17,18,19,20,21,23,27,28,29,30,31,32,33,34,35,37,40,41,43,45,46,47,48,49,50,52,
53,54,56,57,58,59,60,62,66,68,70,72,74,75,76,80,81,82,83,85,86,88,89,90,91,93,
99,100,101,103,104,105,107,109,110,116,117,118,119,120,128],[1,2,3,4,6,9,10,
11,14,15,18,19,21,27,28,29,34,36,37,40,45,46,53,55,58,59,60,66,79,81,82,83,85,
86,99,100,101,109,111,116,121,129],[1,2,3,4,5,6,7,8,9,10,11,12,13,16,17,18,19,
20,21,22,23,24,25,26,27,30,31,32,35,37,38,39,40,41,42,43,44,45,46,47,48,49,50,
51,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,81,82,83,84,
87,88,89,90,91,92,93,94,95,96,97,99,102,103,104,105,106,107,108,112,114,115,
119,122,124,125,126,130],[1,2,3,4,5,6,9,10,11,12,13,14,15,16,17,18,19,20,21,
23,27,28,29,30,31,32,33,34,35,36,37,40,41,43,45,46,47,48,49,50,52,53,54,55,56,
57,58,59,60,62,66,68,70,72,74,75,76,78,79,80,81,82,83,85,86,88,89,90,91,93,98,
99,100,101,103,104,105,107,109,110,111,116,117,118,119,120,121,127,128,129,
131],[1,2,3,4,6,7,8,9,10,11,14,15,18,19,21,25,27,28,29,34,37,38,39,40,42,44,
45,46,53,58,59,60,63,66,71,77,78,81,82,83,84,85,86,87,96,99,100,101,106,109,
113,114,116,126,127,132],[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]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1,1,1],[1,1,2,1],[
1,1,1],[1,1,2,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[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],[1,1,1,1],[1,3,1,1],[1,3,1,3,1,3,
3,1],[1,1,1,1,1,2,1],[1,1,1,1,1,2,1],[1,3,2,1,1,1,1],[1,1,1,1,4,1,2,2,2,1],[1,
1,1,1,1,2,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,1,1],[1,4,
1],[1,1,3,1],[1,1,3,1],[1,3,1,1,3,1],[1,1,6,1,3,1,2,1],[1,3,4,1,1],[1,1,1,3,1,
1],[1,3,4,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,2,1,
1,1,2,1],[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],[1,1,1,1,
8,1,4,2,4,4,1,2,4,1],[1,3,1,3,1,3,3,2,2,1,1,1,4,1],[1,1,1,1,1,4,2,1,2,1],[1,1,
1,1,1,2,1,2,1],[1,3,1,3,4,1,3,3,2,2,2,2,1,2,1,1,2,1],[1,1,1,1,4,1,2,2,2,2,2,1,
1,1,1],[1,9,4,12,1,1],[1,9,4,12,1,1],[1,1,4,4,1,1],[1,9,1,3,3,9,1,1],[1,3,4,1,
3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,1,3,1,1],[1,3,1,3,3,1,1,1],[1,3,3,9,1,1,9,9,
3,1,3,3,1,3,3,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,6,
4,1,3,3,4,3,1,1],[1,1,6,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[
1,1,3,3,8,1,3,4,6,6,1,1,2,1,2,3,1,1,1,2,2,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,
1,3,4,1,1,1,3,1,1,1,1],[1,1,6,2,1,3,3,1,1,2,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,
1,1,1,1],[1,4,3,6,1,1,2,1],[1,3,1,3,1,3,3,6,6,1,3,3,12,3,1],[1,3,1,3,1,3,3,2,
2,1,1,1,4,4,1,2,1],[1,3,1,3,8,1,3,3,4,4,2,2,4,4,1,1,1,4,2,2,4,4,4,1,1,1,2,2,
1],[1,3,4,1,12,1,4,3,1],[1,1,18,4,9,4,24,1,12,2,1,1],[1,1,9,9,4,9,4,12,12,1,
12,1,1,1,1],[1,3,1,12,1,3,4,1,3,1],[1,9,4,9,12,1,1,1],[1,9,4,9,12,1,1,1],[1,3,
1,12,1,3,4,1,3,1],[1,9,6,4,9,2,12,6,1,6,1,2,1],[1,1,6,4,3,4,2,6,1,1,3,1,2,1],[
1,9,6,4,9,12,2,6,1,6,1,2,1],[1,1,4,3,4,1,1,3,1,1],[1,3,12,1,3,9,1,3,1,3,3,9,1,
3,3,1,1,1,1],[1,3,3,9,8,1,1,9,9,4,4,6,6,3,1,2,3,2,3,4,3,3,6,1,1,1,3,3,1,1,2,2,
3,1,1,1,1,1,1,1,1],[1,3,1,3,12,4,1,3,3,6,6,6,6,4,4,4,1,6,3,3,6,1,4,3,1,1,1,
1],[1,9,4,3,6,3,3,9,6,1,1,2,3,3,6,1,1],[1,9,4,3,6,12,9,1,1,2,1,3,1,1],[1,9,4,
3,6,3,9,9,1,1,2,1,3,1,1],[1,3,1,3,8,1,3,3,4,4,6,6,4,4,1,3,3,4,2,2,4,12,4,4,1,
3,1,2,2,2,1,1,1,1],[1,3,9,27,4,1,27,27,12,12,36,9,1,4,36,36,1,3,3,12,1,3,3,
1],[1,1,9,9,4,9,18,4,12,12,9,1,12,1,1,1,1,2,1],[1,1,9,9,4,9,18,4,12,12,9,1,12,
1,1,1,1,2,1],[1,3,18,1,12,1,9,9,3,6,36,9,4,1,3,3,3,4,3,9,1,1],[1,1,9,9,12,4,9,
6,18,18,4,12,4,12,12,9,1,2,12,6,12,12,1,1,1,4,6,1,2,2,2,1],[1,1,9,9,4,9,6,4,
12,12,9,1,2,12,6,1,1,1,6,1,2,1],[1,3,6,4,1,3,3,12,2,6,3,1,4,1,1,3,3,3,2,1,3,1,
1,1,1],[1,3,3,9,1,12,1,9,9,3,1,3,12,3,4,1,3,3,3,4,1,3,1,1],[1,1,18,6,4,9,3,3,
4,2,24,6,9,1,1,1,12,3,3,2,1,2,3,3,1,1,1,1],[1,3,6,1,12,1,3,3,3,4,6,3,4,1,3,3,
3,4,1,3,1,1],[1,1,18,4,9,9,9,4,24,9,1,12,2,1,1,1,1,1],[1,9,12,4,9,18,4,12,12,
9,1,12,1,4,1,2,1],[1,9,4,9,12,9,1,1,1,1],[1,3,6,1,12,1,3,3,3,6,4,3,4,1,3,3,3,
4,1,3,1,1],[1,3,1,3,16,1,3,3,6,6,16,1,3,3,12,4,3,4,1,1],[1,3,4,12,24,1,12,1,4,
8,4,3,6,3,4,1,1,2,1],[1,9,18,4,3,6,27,12,6,3,18,6,9,9,1,1,2,18,9,1,1,6,3,3,6,
1,3,3,1,1,1,1],[1,3,9,27,4,1,27,27,18,18,12,12,36,9,9,9,36,1,4,36,36,9,1,3,3,
12,1,3,3,2,2,1,1,1,4,1],[1,1,9,9,24,4,9,12,18,36,36,4,12,8,12,24,9,18,36,1,4,
12,12,24,24,9,1,1,1,8,12,1,2,4,4,4,1,2,4,1],[1,1,9,9,4,9,12,18,4,12,12,9,18,1,
4,12,12,9,1,1,1,12,1,2,4,1,2,1],[1,3,9,27,12,4,1,27,27,6,6,18,18,12,12,4,36,
12,9,6,9,9,18,1,4,2,2,36,36,6,6,12,12,9,1,3,3,4,12,2,6,6,6,6,6,1,3,3,2,2,2,2,
6,1,1,1,2,2,1],[1,1,9,9,12,4,9,6,6,18,18,18,4,12,4,12,12,9,9,9,1,2,2,12,6,6,
12,12,9,1,1,1,4,6,6,1,2,2,2,2,2,1,1,1,1],[1,1,9,9,4,9,18,4,12,12,9,18,1,12,9,
1,1,1,1,2,1,2,1],[1,3,3,9,24,1,12,1,9,9,12,12,18,18,3,1,6,3,4,6,12,36,3,12,9,
9,18,4,1,3,3,3,3,3,3,3,6,6,12,9,4,4,4,1,1,3,3,3,3,9,3,3,3,1,4,3,3,1,1,1,1],[1,
3,1,3,24,16,1,3,3,12,12,6,6,12,12,16,16,16,1,3,3,12,6,6,12,12,12,12,4,16,3,3,
3,6,6,6,4,4,4,1,3,3,4,3,1,1],[1,3,18,4,12,24,1,9,9,12,6,18,36,9,1,4,8,4,3,3,3,
6,9,9,3,4,6,3,9,9,4,1,1,2,3,3,4,1,3,1,1],[1,3,18,4,12,24,1,9,9,12,6,12,18,24,
9,1,4,8,4,3,3,3,6,9,9,3,6,12,24,3,3,6,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,9,27,4,
12,24,1,27,27,12,12,36,36,9,1,4,8,4,3,6,36,36,1,3,3,12,12,9,4,1,3,3,1,2,4,1,3,
1,1],[1,3,9,27,4,1,27,27,54,54,12,12,36,9,27,27,108,1,4,36,36,27,1,3,3,12,9,1,
3,3,6,6,1,3,3,12,3,1],[1,3,9,27,24,4,1,27,27,12,12,18,18,36,36,12,12,8,36,24,
9,9,9,12,18,18,36,36,36,1,4,4,4,36,36,12,12,24,24,9,9,9,18,18,1,3,3,8,12,4,12,
12,12,12,12,9,1,3,3,2,2,4,4,4,4,12,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,3,9,27,4,
1,27,27,18,18,12,12,36,9,9,9,36,36,1,4,36,36,9,18,1,3,3,12,9,1,3,3,2,2,1,1,1,
4,4,1,2,1],[1,3,9,27,36,4,12,24,1,27,27,18,18,54,54,12,12,12,36,12,36,24,36,
36,9,18,27,27,54,1,4,8,4,6,3,6,6,36,36,18,18,36,36,36,27,1,3,3,4,12,12,12,24,
12,3,6,6,18,9,18,9,18,18,18,4,1,3,3,1,2,6,6,6,6,12,18,9,4,4,4,1,1,3,3,6,3,6,3,
6,1,4,3,3,1,1,1,1],[1,3,9,27,24,4,1,27,27,12,12,54,54,36,36,12,12,8,36,24,9,
27,27,12,18,18,36,108,36,36,1,4,4,4,36,36,12,12,24,24,9,27,9,18,18,18,1,3,3,8,
12,4,12,12,12,12,12,9,9,9,1,3,3,6,6,4,4,4,4,12,9,1,3,3,2,2,4,4,12,4,4,3,1,1,2,
2,2,1,1,1,1],[1,3,9,27,4,48,96,1,27,27,54,54,12,12,36,144,9,27,27,108,1,16,32,
4,12,24,36,36,27,1,3,3,48,12,36,16,9,1,3,3,4,6,6,8,16,1,3,3,12,12,9,4,3,4,1,
1],[1,3,9,27,72,4,48,96,1,27,27,36,36,54,54,108,108,12,12,24,36,48,72,96,144,
144,9,27,27,36,54,54,108,108,108,108,1,16,32,4,12,12,12,24,36,36,36,36,72,72,
144,27,27,27,54,54,54,1,3,3,16,24,48,48,96,12,12,12,24,36,36,36,36,36,36,36,
16,9,27,27,1,3,3,4,6,6,8,12,12,12,12,48,36,36,16,16,16,27,1,3,3,4,6,6,12,12,
12,12,12,12,12,24,9,4,16,3,3,3,6,6,6,12,9,4,4,4,1,3,3,4,3,1,1]],
[1,2,2,2,2,3,3,3,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,9,9,
9,12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,18,18,18,18,18,18,18,
18,24,24,24,24,24,24,24,24,24,24,24,27,32,32,32,36,36,36,36,36,36,36,36,36,36,
36,36,48,48,54,54,54,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,96,108,108,
144,144,144,144,144,144,144,192,216,216,216,288,288,288,432,576,864,1728],
[133,131,123,98,72,130,92,65,133,98,98,93,93,79,80,52,57,119,122,103,93,92,72,
65,51,51,123,98,98,93,80,80,52,53,56,55,133,115,95,130,119,122,119,112,93,93,
93,93,72,72,51,98,98,98,79,80,80,133,131,131,115,103,92,92,65,122,122,119,112,
93,94,93,94,93,93,93,115,123,98,98,133,131,131,130,128,129,125,117,119,120,
119,92,93,94,115,115,115,98,133,131,131,130,128,128,119,122,119,122,116,117,
121,112,123,130,115,131,131,131,128,128,129,122,123,130,130,130,133,131,131,
130,131,133,133],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,6,7,1,8,1,7,1,1,1,2,1,1,4,1,2,1,1,1,
1,1,6,9,6,9,6,6,1,1,6,6,7,4,1,4,1,2,3,37,37,1,38,6,6,7,8,6,42,18,44,18,9,6,42,
6,18,2,6,3,2,10,1,37,37,9,37,37,9,37,6,37,6,38,18,42,77,37,38,28,37,37,37,84,
37,37,18,40,60,42,37,59,37,44,78,40,77,37,59,59,60,58,37,84,113,84,114,81,58,
83,60,114,100,127,132],
[ ( 1, 81,175, 59,249,170, 7,114)( 2, 60,335,252,309, 26,196,328)
( 3,177,228,117,195,210, 37,191)( 4, 16,154, 70,208,135, 88, 45)
( 5,327,306,141, 49,296,336,264)( 6,312, 74, 61,136,233,214,218)
( 8,330,226, 52,146,160,219,165)( 9, 93, 75, 56,194, 32, 99,108)
( 10,156, 31,105,231,107, 47,187)( 11, 64,174, 80, 22,237,134,142)
( 12,131,272,303, 44, 25,245,239)( 13,329,193, 79,236,235, 96,200)
( 14, 85,185,171,155,291, 82,102)( 15,158, 84,190, 66,288,262,331)
( 17,281, 77,298,271, 63,250,243)( 18,217,278,205,270,326,301, 94)
( 19,204,207,319, 69,140,143,215)( 20, 48,123,164, 78,206, 65,234)
( 21,292, 71,256,188, 91,248,287)( 23, 55,110,244)( 24, 89,129,169,263,
58,168,197)( 27,313,220,282)( 28,307,229,209,295,279,238,184)
( 29, 83,308,247, 50, 34, 51,289)( 30,334,293,130,202,159,128,148)
( 33,241,115,199,325, 90,324,254)( 35,137,113,304,315,104,182, 53)
( 36,127,116,106,153,161,103,151)( 38, 46,227,223, 42,118,285,216)
( 39,321,122,150,240, 92,100,260)( 40,225,132, 67)( 41,224,157, 54,167,
152, 43,138)( 57,183, 72,286,246,318,221,317)( 62, 87,109,112,294,280,
230,332)( 68,124,222,203,302,275,201,269)( 73,186,268, 86, 98,172,283,189
)( 76,276,257,178,126,265,284,192)( 95,299,258,213,162,267,320,180)
( 97,125,311,179,166,251,316,242)(101,305,310,297,121,211,277,259)
(111,139,173,323,133,119,176,147)(120,198,212,314)(144,290,181,273,253,
145,149,274)(163,322,333,255,261,300,232,266),
( 1,291,310)( 2,166,247)( 3,264,333)( 4,312,183)( 5, 80, 96)
( 6,321,226)( 7, 65,231)( 8, 42,268)( 9, 58,240)( 10,200, 22)
( 11,164,235)( 12,168,218)( 13,228, 14)( 15,108,135)( 16,308,153)
( 17,256,331)( 18,208,161)( 19,119, 82)( 20,327,215)( 21,283,213)
( 23, 37,124)( 24,118, 26)( 25,188,318)( 27, 87,230)( 28, 60, 57)
( 29,184,199)( 30, 54,146)( 31,204,134)( 32,182,157)( 33,285,288)
( 34, 66,287)( 35,131, 38)( 36,298,239)( 39,209,274)( 40,320, 72)
( 41,227,150)( 43,334,197)( 44,309,307)( 45,253, 97)( 46,169, 94)
( 47,319, 49)( 48,255,102)( 50,132,273)( 51,251,162)( 52,129,248)
( 53,120, 98)( 55,139, 64)( 56,190,303)( 59,302,111)( 61,281, 86)
( 62,282,112)( 63,104, 71)( 67,278,335)( 68,142, 81)( 69, 85,237)
( 70,189,279)( 73,115,242)( 74,290,246)( 75,165,326)( 76,238, 95)
( 77,194,254)( 78,121,140)( 79,105,176)( 83,126,216)( 84,202,315)
( 88,148, 92)( 89,250,314)( 90,304,179)( 91,301,324)( 93,317,172)
( 99,276,137)(100,136,192)(101,300,147)(103,113,181)(106,260,221)
(107,155,266)(109,220,280)(110,156,206)(114,323,117)(116,145,186)
(122,130,272)(123,141,163)(125,243,299)(127,252,284)(128,265,144)
(133,322,174)(138,257,316)(143,195,234)(149,214,152)(151,258,325)
(154,225,245)(158,167,198)(159,286,263)(160,271,223)(170,297,191)
(171,275,236)(173,329,201)(175,187,203)(177,207,222)(178,219,212)
(180,233,328)(185,249,336)(193,259,296)(196,292,241)(205,295,224)
(210,232,305)(211,269,261)(217,293,289)(229,330,267)(244,306,277)
(262,311,270)(294,313,332) ],
[[[[]]],[[[1,2],[2,1,1,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[2,1,1,1],[2,1,3,2,2,-1,
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LIBTOM( "2^2.(7:3xS3)",
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[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,3,1],[1,1,1],[1,1,2,1],[1,3,1,1],[1,1,1,
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[( 1, 57,159,205,106,196,151,101,216,219, 6,299,244,203, 69,157,214,172,227,
304,285, 80, 36,154,148, 66, 55,234)( 2,232,164, 9, 41, 21,230,120, 10,300,
237,161, 86,287,104,200,269,209,221,311,109, 67,210, 96,310, 42,217,125)
( 3,323,162, 11,332,280,171,317,139,156, 58, 52,268, 70)( 4,279, 48,215, 77,
242, 25,248,142,163,111, 56, 62,198,146, 75,275, 59, 29, 91,257, 97,121,329,
327,238,294, 40)( 5,247,321,182,199,123,228,289, 34,135, 26,301,138, 65)
( 7,181, 93,284,313,122,255, 64,249,296,314,303,233, 72,207, 24,295,131,282,
100,236,277, 19,133,132, 76,202,167)( 8,103,177,212,168,333, 39, 71,124,153,
309,175,246,293,208,118,231,225,144, 79,240,166,206,223,137,143, 43, 61)
( 12,195, 20,152,245,258, 44,265,187,302,286,178,288,276)( 13,213, 99,335,128,
185,322,117,235,263, 27, 33,256,267,266,262,307, 53,218, 82,193, 47,261,149,
220,325,251, 15)( 14,229,253,188,126,204,180,179,176,184,326, 23,250, 46,155,
108,129,316,239,170, 84,292,264,194,189,110, 50,116)( 16,150, 83,158,270,290,
54,241,278,336, 68, 85,259,190)( 17,136, 88, 81, 31,319,324, 32, 94, 74,141,
38,271,312, 51,130,226,140,191,114,115, 28,186,334,173,127,308, 30)
( 18,165,105, 49,331,211,112, 87,102,224,306, 37,274, 45)( 22,297,273,328, 35,
169,192,305,134, 89,315,252,145,272)( 60,254,201,107,281,243,330,113, 73,318,
222,147, 63, 92)( 78,291,174, 95,160,260,298,320,283,197,183, 90, 98,119),
( 1,314, 61,127,261,170)( 2,328,230,192, 41,169,104,315,109,272,221,145)
( 3,124,174,185,321, 57,105,206,259, 82, 92,157)( 4,178, 29, 44, 62,152,146,
245, 77,276,294,286)( 5, 80,274, 39,270,262,147,101, 58,240,283,213)
( 6,249,333, 32,193,110)( 7,103,114,256,292, 36)( 8, 98, 53, 34, 66, 18,
208,278,335,243,299,268)( 9,300,311,209, 96, 21)( 10,305,210, 22)
( 11,250,291,131,289,191,211, 50, 85,284,281, 31)( 12,275,258,121,187,257,265,
48,288,142,195, 25)( 13,229, 55,295,153,334)( 14,197,277,135,308,224,155,290,
64,330,271,317)( 15,107,205,139,246,160,267,228,172,306, 43, 16)
( 17,323,126, 90,181, 65, 51, 49,239,241, 24,222)( 19, 79, 28,322, 23,148)
( 20,327,302,111)( 26,196,331,177, 83,117,113,304,162,231,298, 47)
( 27,116,106,202, 71,136)( 30,307,184,159,313,225)( 33,318,234,171,168, 78,
325,138,203,102,144, 68)( 35,310,297,217,273,269,252,237,134, 86, 89,164)
( 37,264,336,133, 60,226,156,176,119,296,182, 88)( 38,235,204, 69,132,293)
( 40,279,329,198, 75,163)( 42,125, 67,161,287,120)( 45,253,190,303, 73,115,
52,129, 95, 76,301,324)( 46,227,233,166,130,220)( 54,149,254,154,332,137,
183,263,199,219,112,309)( 56, 97, 91,238,248,242)( 59,215)( 63, 94,280, 84,
260,122,247,186, 87,180,150,100)( 70,189,320, 72,123,141,165,326,158,167,201,
173)( 74,266,108,244, 93,223)( 81,128,316,151,236,143)( 99,194,214,282,212,
312)(118,319,251,179,216,207)(140,218,188,285,255,175)(200,232)],
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36,44,25,22,35,20,42,37,39,46,38,42,47,53,52,48,50,54,51,49,56,79,57,81,82,89,
84,83,90,80,95,93,99,62,59,56,91,170,104,171,58,103,159,92,172,173,105,86,106,
160,85,80,57,120,94,100,61,60,76,116,61,111,102,92,89,98,92,90,180,123,75,125,
118,164,84,179,117,68,114,100,119,85,162,65,94,115,109,113,74,168,112,178,124,
72,67,177,175,113,111,64,111,71,88,66,122,85,108,60,176,107,87,63,73,163,97,
81,113,167,96,110,174,101,161,129,130,174,134,109,68,109,66,107,88,107,150,
184,183,135,102,179,73,77,78,137,68,98,63,181,78,117,126,76,186,127,78,72,149,
148,132,142,184,184,88,121,146,73,144,70,103,180,152,119,115,111,69,145,182,
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156,150,157,155,189,153,157,121,157,147,191,192,194,195,193,197,198,198,200,
196,208,210,211,202,203,199,209,201,204,206,205,207,215,220,226,230,254,228,
241,238,239,259,258,240,216,227,231,215,227,263,362,282,367,275,245,271,243,
269,264,281,285,412,365,221,242,368,244,255,256,233,270,257,417,413,280,370,
268,229,232,371,222,276,252,231,361,364,279,278,277,223,253,217,383,218,319,
239,232,379,292,392,330,236,274,286,235,391,393,269,253,380,390,402,236,240,
403,257,248,247,394,302,328,298,310,321,372,266,318,253,366,246,395,260,398,
400,287,288,290,236,291,267,237,320,375,407,262,385,261,232,225,415,381,322,
283,309,217,373,376,250,251,299,331,369,314,317,219,363,401,405,387,301,329,
396,297,249,293,234,224,389,377,308,300,386,374,316,378,296,332,289,323,388,
272,399,303,315,294,404,311,382,384,284,295,313,414,397,265,406,416,273,312,
357,348,411,349,346,340,236,360,248,294,408,406,333,218,407,347,410,293,225,
359,418,222,354,292,396,409,286,353,243,290,306,304,350,394,225,335,314,408,
395,247,383,353,325,351,401,355,351,234,342,353,244,425,248,338,234,309,403,
324,408,356,310,312,420,334,339,426,410,307,344,326,424,327,345,423,336,358,
343,351,410,330,250,305,352,419,337,218,402,421,422,341,250,381,247,435,434,
433,437,439,438,436,459,444,442,465,458,462,461,468,471,471,467,447,452,450,
445,454,453,451,477,470,474,469,473,466,472,463,476,478,457,470,475,457,464,
482,492,484,486,501,496,494,495,491,490,523,485,488,525,528,551,506,587,619,
536,502,630,533,590,545,483,621,493,546,548,589,544,595,538,602,513,620,524,
599,628,535,547,600,539,588,503,603,550,507,505,485,591,604,537,596,592,549,
601,514,629,504,532,534,526,489,552,497,609,520,599,517,612,597,574,631,489,
508,632,519,605,593,591,558,554,657,602,564,597,556,560,660,640,662,521,637,
636,642,643,566,568,491,510,596,582,584,499,649,661,586,627,578,613,615,626,
581,618,541,635,527,645,576,567,553,590,654,500,573,597,616,531,530,583,646,
659,651,515,555,542,611,625,647,518,655,579,565,580,610,594,634,511,509,652,
516,633,664,622,503,513,561,623,648,572,606,529,577,614,598,624,639,638,540,
487,498,641,644,665,585,667,559,562,557,608,653,666,607,658,563,575,656,650,
617,543,663,569,571,564,570,522,512,567,570,574,585,531,572,569,570,682,683,
681,688,687,723,725,698,691,689,716,718,713,693,726,713,722,696,697,720,710,
727,704,706,708,702,722,711,699,714,727,717,721,728,730,732,733,735,737,736,
763,741,738,769,772,768,739,784,773,776,783,774,775,746,791,788,777,742,778,
781,740,770,787,748,795,760,761,785,782,780,767,749,766,750,745,751,794,764,
771,762,765,793,796,792,747,779,743,789,786,744,790,805,817,819,812,767,761,
813,745,754,799,807,809,797,801,806,810,808,820,804,803,756,752,818,814,758,
765,811,755,800,757,816,759,802,815,753,798,835,837,846,841,845,842,849,851,
843,855,853,844,852,863,856,859,873,865,868,870,858,867,866,862,867,876,874,
888,885,886,878,883,880,882,890,893,895,896,892,891,898,894,903,905,907,901,
913,914,909,908,904,889,897,899,910,912,900,906,911,902,928,922,924,930,926,
939,935,937,948,950,952,942,944,940,949,959,938,953,954,943,960,957,962,958,
965,971,968,963,972,970,967,974,977,976,978,975,979,980,986,988,984,990,993,
994,996,1018,1014,1013,1016,1009,1007,1010,1019,1020,1021,1023,1024,1026,1028,
1031,1042,1043,1045,1052,1055,1057] );
AFLT( "2^2.(2^4S5)","2^2.L3(4).2_2",[1,4,2,6,7,3,6,7,5,3,8,9,11,15,18,19,10,
12,27,11,29,14,26,22,14,17,16,25,13,40,28,28,30,33,17,41,27,34,31,24,24,35,10,
20,21,19,24,43,17,18,12,32,23,34,39,30,46,30,21,44,37,37,32,25,24,34,37,38,37,
37,45,26,21,32,22,42,36,38,42,39,46,47,52,53,48,50,54,51,49,56,80,57,83,81,89,
82,84,90,56,96,94,100,61,60,79,92,170,106,172,58,105,160,91,171,173,103,85,
104,159,86,79,99,120,93,57,59,62,74,115,64,112,99,91,89,95,90,91,180,124,76,
123,117,161,112,176,118,71,113,101,119,114,163,66,93,110,116,114,73,167,111,
179,122,67,68,178,175,82,86,63,83,72,87,59,125,112,107,65,177,108,88,62,75,
162,98,114,86,168,97,109,174,102,164,128,132,180,139,87,67,112,65,105,110,104,
152,185,183,137,101,185,71,78,74,138,77,97,65,182,77,118,129,69,186,126,77,69,
148,149,131,145,178,176,116,121,146,77,143,77,108,174,153,119,114,110,70,144,
181,69,136,75,67,147,108,64,75,58,127,140,74,185,101,64,150,188,135,175,155,
169,116,156,184,165,118,134,187,87,133,71,154,69,69,166,130,151,141,142,157,
151,158,146,158,158,189,147,156,121,155,152,192,191,194,195,193,196,197,198,
199,198,208,210,211,202,203,200,209,201,205,207,204,206,215,221,227,231,255,
229,240,239,238,259,258,241,217,215,230,226,226,264,364,279,371,278,244,271,
245,270,263,282,285,412,361,223,243,370,242,254,257,232,269,256,417,413,281,
368,268,228,230,367,220,275,253,233,365,362,280,277,276,222,252,216,405,219,
323,252,237,378,291,388,330,237,274,287,234,387,394,256,238,377,392,402,233,
241,382,270,249,246,393,300,329,297,308,322,369,265,316,252,363,247,395,260,
398,401,286,289,290,233,292,267,236,317,379,407,261,389,262,237,224,415,404,
318,284,311,216,375,380,251,250,296,331,372,313,319,218,366,400,406,385,299,
328,397,302,248,293,235,225,391,374,309,298,390,376,321,373,303,332,288,320,
386,273,399,301,314,295,403,310,381,383,283,294,312,414,396,266,384,416,272,
315,356,345,410,349,348,333,235,359,242,295,409,409,338,219,393,346,404,293,
223,360,419,224,353,330,397,408,290,315,249,287,305,307,350,407,224,339,354,
405,395,251,411,311,326,308,402,357,313,237,344,354,246,426,251,334,235,352,
411,325,382,358,354,352,420,340,336,425,384,306,341,327,423,324,347,421,337,
355,342,352,411,291,249,304,351,418,335,219,400,422,424,343,246,409,245,435,
434,433,436,438,439,437,458,441,443,464,471,463,460,469,471,459,466,449,451,
448,446,456,455,457,477,465,474,467,473,468,472,462,476,478,452,470,475,457,
470,483,493,485,487,501,496,495,494,490,491,523,484,489,525,529,545,505,588,
619,535,503,630,536,600,546,482,621,492,548,551,590,550,596,534,601,514,620,
524,589,628,539,544,599,533,587,502,604,549,504,507,484,592,603,532,595,591,
547,602,513,629,506,538,537,526,488,553,499,610,520,598,518,613,598,574,631,
486,511,632,519,607,594,595,557,555,656,601,565,600,559,562,659,643,661,521,
641,640,638,639,567,569,490,509,592,581,583,500,648,660,585,626,580,612,616,
627,584,615,543,635,527,646,575,530,554,598,654,498,572,589,617,566,531,582,
647,662,649,516,552,540,614,624,644,517,658,577,564,578,609,593,634,510,508,
653,515,633,664,622,514,502,563,623,650,573,608,568,579,611,597,625,636,637,
541,488,497,642,645,665,586,667,558,560,556,606,652,666,605,657,561,576,655,
651,618,542,663,528,570,574,530,522,512,566,571,565,586,571,573,571,568,683,
682,681,687,688,724,726,697,692,690,717,719,713,695,727,698,716,694,713,721,
705,727,703,709,712,700,722,707,701,715,725,722,720,728,732,731,734,736,737,
735,762,740,738,768,772,769,739,784,774,775,783,776,773,747,792,788,782,743,
777,778,760,771,786,749,793,761,741,785,781,779,763,748,767,751,744,750,796,
765,770,766,764,794,795,791,746,780,742,789,787,745,790,805,817,819,808,766,
760,809,744,758,804,811,812,802,798,806,814,813,820,801,800,759,756,818,807,
757,764,810,752,797,753,816,755,803,815,754,799,836,837,847,842,848,841,850,
852,844,855,854,843,851,864,856,860,872,866,869,871,857,867,867,861,865,875,
876,887,877,888,885,881,879,884,889,893,894,896,891,892,898,895,903,906,908,
899,914,913,907,910,904,890,897,900,909,911,902,905,912,901,929,925,923,931,
927,940,936,938,947,949,951,941,945,939,950,959,937,956,955,946,960,957,961,
958,964,973,970,965,971,969,966,974,977,975,979,976,978,980,987,989,985,992,
991,997,995,1019,1015,1012,1017,1008,1006,1011,1018,1020,1023,1022,1024,1027,
1030,1029,1042,1044,1046,1052,1054,1056] );
AFLT( "2^2.S6","2^2.L3(4).2_2",[1,4,2,5,5,6,7,3,8,8,9,13,15,14,40,40,13,27,43,
16,10,17,43,39,23,38,25,39,20,38,24,38,21,42,41,26,46,39,47,48,48,51,49,51,49,
53,52,52,53,50,54,50,54,120,120,80,79,95,96,99,100,119,122,91,175,175,119,170,
92,174,89,173,119,175,180,123,121,125,124,121,127,129,98,102,101,154,97,149,
128,152,154,181,187,151,187,148,153,182,126,121,121,150,158,157,190,192,194,
191,195,193,196,197,201,209,209,201,208,208,210,202,210,211,203,211,203,202,
207,204,205,204,205,206,206,207,226,254,228,229,227,255,293,398,285,328,294,
414,331,393,394,401,268,295,293,399,274,398,332,287,329,400,416,293,395,292,
286,294,295,291,413,358,355,343,344,342,357,341,356,430,427,429,428,431,432,
432,433,434,435,439,436,437,438,458,459,441,442,444,443,472,472,464,451,465,
460,445,446,461,452,473,474,474,476,478,477,476,473,477,475,478,475,493,492,
625,520,622,564,565,519,575,576,634,624,664,621,632,668,672,671,673,673,678,
677,679,680,670,680,678,679,676,669,677,683,682,681,719,717,697,692,716,718,
723,691,698,689,725,724,690,726,695,701,702,694,700,693,699,696,728,728,731,
730,806,829,828,830,821,829,826,830,831,831,827,832,832,827,833,833,837,858,
865,857,873,870,866,868,869,859,863,860,864,871,872,874,875,886,877,887,878,
919,919,916,915,920,920,918,961,962,963,972,968,969,964,973,982,1004,1021,
1022,1036,1041,1040,1048,1049,1051,1053] );
AFLT( "2^2.(L2(7)x2)","2^2.L3(4).2_2",[1,4,2,5,6,7,5,3,8,9,13,40,14,15,27,40,
43,43,10,17,13,16,23,39,38,25,38,39,26,46,39,41,42,24,21,38,20,48,53,52,49,51,
54,50,55,120,79,80,96,99,100,95,170,119,89,119,92,91,119,173,175,123,180,175,
174,175,122,121,124,120,125,121,102,182,128,150,129,98,154,152,154,121,148,
151,153,181,127,97,187,187,101,126,149,121,158,157,197,196,210,203,202,201,
209,211,208,204,205,206,207,212,213,214,227,228,226,255,229,254,393,328,293,
332,413,291,294,398,292,295,287,293,395,400,293,268,285,399,294,295,274,401,
394,286,398,329,416,414,331,357,355,356,343,342,358,344,341,440,441,459,458,
442,443,444,461,465,451,446,460,452,445,464,477,473,476,478,472,475,474,480,
479,481,493,492,564,576,621,565,519,520,632,664,625,634,575,624,622,684,685,
686,717,723,690,692,718,698,716,719,724,697,726,725,689,691,694,702,696,693,
700,695,699,701,728,729,806,840,838,839,871,872,869,860,864,868,866,857,865,
858,859,863,870,873,932,934,962,961,998,999,1003,1033,1034,1032,1047] );
AFLT( "2^2.(3^2:Q8.2)","2^2.L3(4).2_2",[1,4,2,7,6,3,5,8,9,10,27,40,13,41,25,
43,26,38,44,45,39,48,49,51,52,53,50,54,89,173,170,120,167,175,119,168,187,121,
154,169,189,186,190,208,209,201,210,203,202,211,207,204,205,206,268,413,285,
260,398,293,420,427,430,429,428,431,432,472,477,476,478,473,475,474,527,665,
621,672,668,671,670,669,673,676,680,677,678,675,674,679,728,818,828,821,826,
829,830,823,822,832,825,827,824,833,834,831,916,915,918,919,917,920,921,982,
983,981,1025] );
AFLT( "2^2.(2^4:A5)","2^2.L3(4)",[1,3,2,4,5,7,6,8,5,8,7,6,9,10,11,16,12,14,20,
26,21,22,25,23,28,24,18,27,19,17,15,13,11,29,42,35,32,40,34,36,30,33,31,44,45,
37,39,38,13,17,46,41,15,43,44,28,54,52,50,25,33,47,51,53,32,37,51,33,50,50,37,
42,50,29,21,51,19,48,50,32,29,42,58,51,24,48,45,45,36,44,48,27,23,26,48,49,36,
40,22,48,18,20,40,57,56,55,51,59,63,61,66,62,60,64,65,68,70,69,78,72,73,79,76,
87,82,86,84,97,93,96,95,92,91,94,89,90,98,99,100,77,81,80,68,75,69,71,70,88,
74,83,85,154,141,81,182,102,140,138,130,176,111,179,113,149,103,171,109,175,
107,119,71,88,74,133,180,169,167,125,127,122,106,110,143,116,118,121,174,108,
112,105,177,178,173,120,83,148,183,117,134,126,147,137,85,168,131,101,123,132,
129,145,142,124,146,172,170,152,181,184,136,150,80,144,77,139,135,104,151,153,
75,128,114,115,164,166,156,141,158,146,127,113,120,127,159,109,113,130,164,
141,125,143,202,158,166,156,148,210,153,156,199,151,97,203,158,131,111,155,
159,214,200,197,164,134,232,158,164,111,161,138,159,206,166,118,201,136,211,
146,102,209,131,198,161,157,105,94,185,186,116,118,134,120,161,166,153,158,
148,96,216,217,219,212,207,116,156,204,109,122,105,193,159,136,91,103,163,192,
124,98,124,102,165,159,122,189,89,140,107,103,130,160,150,99,156,161,238,125,
191,194,164,93,241,166,195,236,242,143,220,107,227,225,229,234,205,237,233,
188,187,150,140,138,240,161,190,221,151,235,224,231,223,213,162,222,196,208,
243,230,218,239,226,215,228,244,247,249,246,252,248,251,250,255,258,253,259,
259,254,257,256,261,264,262,266,265,260,263,270,272,280,274,277,276,288,284,
283,287,281,326,329,290,325,282,327,289,291,292,328,286,285,330,278,279,270,
273,275,341,273,457,477,306,333,461,301,363,370,275,300,311,478,315,334,335,
310,497,307,367,309,489,358,355,475,458,297,476,481,305,359,361,293,465,357,
353,379,360,388,485,343,390,482,339,351,386,375,356,347,504,344,480,373,316,
394,349,380,487,348,501,279,298,392,350,376,302,384,371,354,318,313,494,496,
336,503,340,319,294,490,396,304,338,346,372,345,312,296,322,486,271,395,308,
366,479,495,321,352,317,500,488,368,278,468,381,491,369,362,459,460,299,295,
473,474,467,484,331,314,471,472,382,391,365,385,387,383,393,470,463,462,499,
378,464,374,389,492,320,502,332,377,466,483,337,342,493,303,469,364,498,306,
303,419,409,319,422,309,296,290,324,316,410,429,324,444,324,297,404,441,323,
455,313,313,318,433,286,438,293,312,297,299,451,411,306,301,296,293,405,324,
418,309,307,437,303,439,420,452,427,397,319,431,415,399,430,428,436,412,426,
424,299,318,417,448,449,446,454,402,406,312,408,398,322,443,434,324,400,432,
416,435,284,307,281,413,301,407,414,316,403,322,292,456,442,447,425,445,440,
453,450,423,421,401,287,512,513,518,516,515,514,517,540,561,558,548,550,536,
544,523,525,554,538,552,526,528,556,530,532,521,546,534,542,563,564,545,562,
557,563,555,551,549,553,564,559,562,547,560,565,569,568,572,575,574,577,591,
583,581,588,585,589,586,590,623,587,579,582,624,584,625,580,592,573,578,626,
628,627,576,649,663,691,684,633,608,593,683,669,601,687,718,675,670,603,714,
578,634,639,570,594,598,651,610,637,602,600,697,636,655,609,605,657,672,660,
635,612,727,643,719,646,640,671,659,652,647,689,677,681,666,654,692,694,695,
704,696,615,673,722,728,710,595,613,711,712,607,606,597,650,641,648,702,644,
642,632,630,678,680,716,664,709,604,611,667,715,576,698,699,717,721,720,665,
703,693,658,707,661,616,688,723,708,724,599,701,700,653,631,725,679,614,686,
567,571,676,729,705,706,690,713,656,674,668,662,682,685,596,645,726,573,638,
619,621,620,618,579,622,629,617,743,748,747,778,769,764,788,786,752,783,782,
756,776,754,760,779,772,762,766,773,790,750,758,768,791,789,787,785,791,798,
792,795,794,800,799,803,802,801,805,809,807,804,812,808,811,813,806,810,823,
820,817,830,815,821,814,816,822,826,827,818,836,835,824,828,825,834,832,831,
837,829,819,833,851,860,867,864,858,862,856,854,863,866,865,868,870,869,876,
873,872,878,884,893,885,887,889,879,882,890,892,897,896,901,898,899,900,902,
914,916,912,919,910,907,909,926,931,936,929,933,923,927,938,939,924,937,945,
943,946,940,947,962,960,953,955,957,949,951,975,977,991,996] );
AFLT( "2^2.(2^4:A5)","2^2.L3(4)",[1,2,3,4,5,8,6,7,5,7,8,6,9,10,11,17,15,13,19,
18,21,22,23,25,24,28,26,27,20,16,12,14,11,34,43,32,35,39,29,31,33,30,36,41,38,
46,40,45,14,16,37,44,12,42,41,24,54,48,49,23,30,51,47,53,35,46,47,30,49,49,46,
43,49,34,21,47,20,52,49,35,34,43,56,47,28,52,38,38,31,41,52,27,25,18,52,50,31,
39,22,52,26,19,39,55,58,57,47,59,64,60,66,62,61,63,65,70,68,69,71,77,81,75,80,
85,74,88,83,97,92,90,91,93,95,89,94,96,98,100,99,72,73,76,70,79,69,78,68,86,
82,84,87,151,121,73,168,101,117,115,112,177,129,169,108,131,145,173,123,178,
114,120,78,86,82,105,170,179,181,147,128,142,134,124,135,137,139,141,172,113,
130,133,176,175,171,119,84,126,183,140,106,148,125,116,87,182,149,102,109,150,
111,103,122,110,104,174,180,153,167,184,144,132,76,136,72,118,143,146,154,152,
79,127,107,138,163,157,160,121,165,104,128,108,119,128,155,123,108,112,163,
121,147,135,201,165,157,160,126,197,152,160,199,154,97,203,165,149,129,159,
155,233,200,210,163,106,215,165,163,129,162,115,155,211,157,139,202,144,206,
104,101,198,149,209,162,166,133,89,186,185,137,139,106,119,162,157,152,165,
126,90,242,205,208,237,220,137,160,218,123,142,133,193,155,144,95,145,164,192,
110,98,110,101,158,155,142,188,94,117,114,145,112,156,132,100,160,162,229,147,
196,195,163,92,244,157,194,213,216,135,207,114,243,231,238,223,217,212,214,
189,190,132,117,115,221,162,187,240,154,222,224,225,234,236,161,235,191,219,
227,226,204,228,230,232,239,241,248,249,246,250,247,251,252,256,254,257,259,
259,258,253,255,266,265,262,261,264,260,263,270,271,279,278,273,275,281,283,
284,282,288,326,328,289,325,287,330,290,286,285,329,291,292,327,274,280,270,
277,276,344,277,501,494,305,333,498,304,394,374,276,316,312,495,299,345,346,
296,463,294,372,295,479,381,383,490,500,298,491,488,306,362,360,308,467,382,
392,366,361,387,484,342,389,487,338,376,385,352,384,332,464,341,493,369,300,
363,350,365,482,331,457,280,297,353,349,351,303,356,368,391,320,321,477,474,
336,462,337,317,307,475,378,301,339,335,367,334,311,310,314,483,272,377,293,
379,489,478,313,375,319,458,481,371,274,466,358,476,373,359,499,502,315,309,
492,496,465,485,348,322,469,470,357,354,380,386,388,355,364,472,497,503,459,
396,504,370,390,473,318,460,347,395,468,486,340,343,480,302,471,393,461,305,
302,443,451,317,453,295,310,289,323,300,450,424,323,444,323,298,436,438,324,
413,321,321,320,454,291,441,308,311,298,315,409,411,305,304,310,308,400,323,
397,295,294,440,302,439,442,421,426,418,317,431,414,432,423,425,404,412,427,
429,315,320,398,446,447,448,433,434,401,311,416,417,314,419,402,323,405,399,
408,403,283,294,288,455,304,456,415,300,435,314,285,407,420,449,428,445,437,
422,410,430,452,406,282,512,513,518,515,516,517,514,527,553,547,557,545,531,
551,520,524,555,543,560,541,535,549,537,533,522,559,529,539,562,564,550,563,
548,562,554,544,556,561,564,546,563,558,552,565,567,570,571,576,578,573,592,
589,586,588,585,583,581,584,623,582,580,587,625,590,624,579,591,577,574,628,
626,627,575,660,662,664,646,632,603,600,654,656,598,658,705,671,674,608,708,
574,653,638,568,599,601,640,595,636,597,593,698,637,682,596,612,668,645,649,
652,605,726,630,706,684,651,675,686,635,685,667,676,680,688,683,693,700,701,
721,699,614,644,713,717,723,610,616,724,725,604,611,602,641,650,661,703,673,
631,633,643,679,681,729,691,715,607,606,689,709,575,697,696,728,704,707,690,
702,692,687,720,648,613,666,710,714,711,594,695,694,634,642,712,678,615,659,
569,572,677,716,718,719,665,722,669,670,657,663,655,647,609,672,727,577,639,
617,621,620,622,580,618,629,619,743,747,748,749,755,763,785,787,771,781,784,
770,759,761,775,757,751,753,765,767,789,777,780,774,791,790,786,788,791,796,
792,797,793,799,800,801,802,803,810,806,808,804,813,807,811,812,809,805,824,
833,835,814,831,832,830,834,825,827,826,819,837,817,823,829,822,816,821,815,
836,828,818,820,852,855,865,866,859,863,857,861,862,864,867,869,870,868,874,
875,871,877,881,891,880,895,889,886,883,894,897,892,888,902,900,899,898,901,
918,917,913,915,908,906,911,935,934,925,930,932,924,928,939,938,923,937,944,
941,946,942,947,961,956,952,959,958,950,954,976,978,991,995] );
AFLT( "2^2xA6","2^2.L3(4)",[1,4,2,3,5,7,8,6,9,9,10,16,17,23,53,45,21,24,38,53,
28,40,54,27,25,54,39,37,46,50,49,59,62,61,62,61,60,60,63,64,65,66,66,64,63,65,
76,75,84,79,80,83,196,209,196,107,108,113,101,203,183,102,114,184,211,201,199,
232,197,200,210,233,224,97,191,215,206,214,191,198,202,245,251,246,248,249,
252,247,250,255,256,260,260,266,265,262,264,262,261,266,261,264,263,265,263,
276,275,405,432,333,406,399,400,439,415,434,402,431,401,414,511,508,510,506,
505,509,507,517,518,513,512,514,516,515,557,556,548,549,532,555,554,533,523,
525,521,522,524,520,565,565,620,733,731,735,732,740,734,739,740,739,730,736,
743,790,751,789,783,764,784,752,782,772,766,771,765,763,781,793,794,847,840,
841,844,844,850,847,871,872,881,877,878,884,883,882,905,944,945,974,990,984,
983,994] );
AFLT( "2^2xA6","2^2.L3(4)",[1,2,4,3,8,7,5,6,9,9,10,12,13,23,56,29,24,21,41,56,
28,32,55,25,27,55,31,42,30,48,47,59,61,62,61,62,60,60,65,64,63,66,66,64,65,63,
78,77,87,73,74,88,185,239,185,122,121,124,129,227,177,130,123,178,244,219,222,
218,226,223,238,217,216,97,195,212,240,213,195,225,220,245,251,247,248,250,
252,246,249,253,254,260,260,266,265,261,263,261,262,266,262,263,264,265,264,
277,278,435,453,344,436,456,449,421,442,433,408,413,448,443,511,508,509,507,
505,510,506,517,518,514,516,513,512,515,553,552,550,551,536,559,558,537,540,
538,528,541,539,529,565,565,622,731,733,732,735,738,734,737,738,737,730,736,
743,788,774,787,758,778,757,773,762,760,769,759,770,777,761,796,795,846,838,
839,849,849,850,846,874,873,880,891,890,896,895,879,904,941,940,972,989,986,
987,993] );
AFLT( "2^2xA6","2^2.L3(4)",[1,3,4,2,7,8,5,6,9,9,10,15,14,25,58,34,28,21,44,58,
24,35,57,23,27,57,36,43,33,52,51,59,60,62,60,62,61,61,65,63,64,66,66,63,65,64,
71,72,85,81,82,86,186,228,186,142,141,110,111,243,176,112,109,175,241,208,235,
204,230,234,229,205,242,97,194,237,221,236,194,231,207,245,251,248,247,252,
250,246,249,257,258,260,260,261,264,266,263,266,262,261,262,263,265,264,265,
273,274,403,422,341,404,407,447,452,420,454,416,455,446,419,510,508,509,507,
506,511,505,514,518,517,515,513,512,516,561,560,545,544,531,546,547,530,527,
543,535,526,542,534,565,565,618,731,734,732,730,741,733,742,741,742,735,736,
743,785,768,786,780,749,779,767,753,775,755,776,756,750,754,798,797,848,842,
843,845,845,850,848,876,875,885,893,894,888,887,886,903,943,942,973,988,985,
982,992] );
AFLT( "2^2xL2(7)","2^2.L3(4)",[1,4,3,2,7,5,8,6,9,10,12,13,21,56,25,27,32,23,
24,42,29,56,30,28,31,55,55,41,48,47,66,63,64,60,61,62,65,67,87,74,73,88,77,78,
177,185,223,240,239,97,185,227,130,129,122,121,123,226,244,225,222,219,217,
218,238,195,195,216,124,212,178,213,220,253,254,260,265,261,263,266,262,264,
268,267,269,277,278,443,442,421,344,453,408,413,448,456,449,433,436,435,519,
540,558,553,550,552,559,536,551,528,538,529,539,537,541,565,566,622,745,746,
744,787,769,788,774,757,758,773,760,762,761,759,770,777,778,853,874,873,920,
963,968,970,981] );
AFLT( "2^2xL2(7)","2^2.L3(4)",[1,2,3,4,7,8,5,6,9,10,16,17,24,53,27,25,40,23,
21,37,45,53,46,28,39,54,54,38,50,49,66,65,64,60,62,61,63,67,84,80,79,83,75,76,
183,196,200,206,209,97,196,203,102,101,107,108,114,197,211,198,199,201,233,
232,210,191,191,224,113,215,184,214,202,255,256,260,265,262,264,266,261,263,
268,269,267,276,275,414,415,439,333,432,402,431,401,399,400,434,406,405,519,
523,554,557,548,556,555,532,549,521,525,520,524,533,522,565,566,620,746,745,
744,789,766,790,751,784,783,752,772,782,781,771,765,763,764,853,871,872,922,
965,971,969,980] );
AFLT( "2^2xL2(7)","2^2.L3(4)",[1,3,4,2,6,8,7,5,9,10,15,14,23,58,24,28,43,27,
25,34,35,57,36,21,44,58,57,33,52,51,65,64,66,62,61,60,63,67,81,72,71,82,86,85,
194,175,204,241,208,97,176,243,142,141,110,109,111,228,242,229,205,230,236,
237,207,186,186,221,112,234,194,235,231,257,258,260,263,264,266,262,265,261,
269,267,268,273,274,446,447,407,341,452,455,454,403,422,404,416,420,419,519,
535,545,546,560,547,544,531,561,543,527,542,526,530,534,565,566,618,744,746,
745,786,775,785,756,750,749,755,767,780,779,768,776,754,753,853,876,875,921,
967,964,966,979] );
AFLT( "2^2.(3^2:Q8)","2^2.L3(4)",[1,4,6,2,7,5,8,3,9,10,25,58,55,57,24,28,21,
23,27,53,54,56,63,62,60,61,64,66,65,185,97,194,191,184,177,176,178,196,175,
186,183,195,245,260,261,263,264,262,265,266,341,333,344,509,511,507,505,508,
510,506,565,629,741,730,742,731,736,739,733,740,735,737,732,738,734,845,843,
848,850,838,841,842,840,846,847,849,844,839,904,905,903,948] );
AFLT( "2^2.(3^2:2A4)","2^2.L3(4).3",[1,2,3,4,5,6,7,8,19,10,25,26,30,28,31,29,
36,76,77,79,78,98,99,100,113,104,105,115,116,149,202,204,203,205,237,236,238,
287,300,301,302,303,306,307,304,338,359,360,361,363,362,364,380,387,402,423,
431,463] );
AFLT( "A4x7:3","2^2.L3(4).3",[1,2,7,5,7,7,8,28,32,100,105,105,105,113,
117,209,211,210,212,239,304,309,343,367,368,370,369,429] );
AFLT( "2^2.(3^2:2S4)","2^2.L3(4).3.2_2",[1,2,3,5,4,6,7,8,9,22,11,27,16,29,28,
26,25,38,33,36,37,35,40,34,39,35,42,99,100,76,75,102,92,112,98,119,120,121,
122,135,140,126,138,127,142,141,146,137,144,145,143,234,181,186,285,258,212,
286,287,289,288,290,293,291,292,331,303,333,302,337,321,332,303,336,334,338,
339,408,462,412,478,479,480,481,485,484,482,488,486,487,490,489,545,533,548,
547,546,629,630,631,632,634,637,636,644,639,643,640,633,638,642,641,670,697,
698,738,734,739,741,742,740,743,786,794,793,792,815,824,816,862,874,898,
920] );
AFLT( "2^2.(7:3xS3)","2^2.L3(4).3.2_2",[1,2,4,8,6,8,9,27,16,34,38,40,41,76,
122,127,135,127,146,137,147,148,292,299,301,300,302,338,340,341,342,482,494,
496,495,549,555,641,648,650,651,652,649,708,751,752,807,868] );
#############################################################################
#############################################################################
##
#E