GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tma12mx.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tma12mx.tom,v 4.3 2001/07/05 06:56:31 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains tables of marks of maximal subgroups of $A12$
##
#H tomlib history
#H --------------
#H $Log: tma12mx.tom,v $
#H Revision 4.3 2001/07/05 06:56:31 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.3 of tomlib coincides with Rev. 4.2 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tma12mx.tom,v
#H Working file: tma12mx.tom
#H head: 4.2
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.2.0.10
#H GAP4R2PRE2: 4.2.0.8
#H GAP4R2PRE1: 4.2.0.2
#H GAP4R1: 4.2.0.6
#H GAP4B5: 4.2.0.4
#H dec16-98b: 4.2
#H GAP4b4: 4.2
#H version-14-apr: 4.2
#H version-15-jun: 4.2
#H keyword substitution: kv
#H total revisions: 3; selected revisions: 3
#H description:
#H ----------------------------
#H revision 4.2
#H date: 1998/02/12 19:05:27; author: gap; state: Exp; lines: +3 -3
#H added a few names
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:34:01; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:47:12; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tma12mx_tom :=
"@(#)$Id: tma12mx.tom,v 4.3 2001/07/05 06:56:31 gap Exp $";
SetActualLibFileName( "tma12mx" );
LIBTOM( "(A9x3):2",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12],[1,
2,3,13],[1,2,3,4,14],[1,2,4,5,15],[1,3,16],[1,3,17],[1,3,18],[1,3,4,19],[1,3,
20],[1,3,5,21],[1,3,4,22],[1,3,5,23],[1,3,24],[1,4,5,25],[1,5,26],[1,5,27],[1,
28],[1,2,6,29],[1,2,7,30],[1,2,6,31],[1,3,6,32],[1,3,6,33],[1,4,6,34],[1,5,6,
35],[1,4,6,36],[1,3,8,37],[1,3,9,38],[1,4,7,39],[1,4,11,40],[1,3,7,41],[1,4,7,
42],[1,4,7,43],[1,5,7,44],[1,5,7,45],[1,2,8,46],[1,4,8,47],[1,5,8,48],[1,2,9,
49],[1,4,9,50],[1,4,10,51],[1,4,10,52],[1,5,10,53],[1,4,11,54],[1,5,11,55],[1,
4,12,56],[1,57],[1,2,3,13,16,17,58],[1,2,3,4,13,14,18,59],[1,2,3,4,13,19,20,
60],[1,2,3,4,5,13,14,15,21,22,61],[1,2,3,5,13,23,24,62],[1,2,3,4,14,16,19,
63],[1,2,3,4,14,17,20,64],[1,2,3,4,14,18,22,65],[1,2,3,4,5,14,15,19,23,25,
66],[1,2,3,4,14,20,24,67],[1,3,16,18,20,68],[1,3,5,16,21,23,69],[1,3,4,16,22,
24,70],[1,3,4,17,18,19,71],[1,3,5,17,21,24,72],[1,3,4,5,17,22,23,73],[1,3,5,
18,21,74],[1,3,4,18,19,24,75],[1,3,5,18,20,23,76],[1,3,4,5,19,21,22,25,77],[1,
3,4,19,20,22,78],[1,3,5,20,21,79],[1,3,5,21,23,26,80],[1,3,5,21,24,81],[1,3,5,
21,27,82],[1,3,5,21,26,27,83],[1,3,4,5,22,23,24,84],[1,4,5,25,27,85],[1,5,26,
86],[1,5,26,27,87],[1,5,26,27,88],[1,5,27,89],[1,5,27,90],[1,6,7,91],[1,6,8,9,
92],[1,6,9,10,93],[1,6,7,11,94],[1,6,10,12,95],[1,7,8,10,96],[1,7,9,10,97],[1,
7,11,98],[1,7,9,12,99],[1,7,10,12,100],[1,8,11,12,101],[1,9,10,11,12,102],[1,
10,11,103],[1,10,11,104],[1,11,105],[1,11,12,106],[1,11,107],[1,11,108],[1,2,
28,109],[1,3,28,110],[1,3,28,111],[1,4,28,112],[1,5,28,113],[1,2,3,6,13,29,33,
114],[1,2,3,6,13,29,31,32,115],[1,2,3,4,6,14,29,32,34,116],[1,2,3,4,6,14,29,
33,36,117],[1,2,4,5,6,15,29,34,35,118],[1,2,4,5,7,15,30,39,44,119],[1,2,3,4,7,
14,30,41,43,120],[1,2,4,5,7,15,30,42,45,121],[1,2,3,4,6,14,31,33,34,122],[1,2,
4,5,6,15,31,35,36,123],[1,3,6,18,32,33,124],[1,3,5,6,21,32,33,35,125],[1,3,4,
6,22,32,34,36,126],[1,3,6,16,33,127],[1,3,4,6,19,33,34,128],[1,3,6,20,33,
129],[1,3,6,17,33,130],[1,3,6,18,33,131],[1,3,4,6,22,33,34,132],[1,3,5,6,23,
33,35,133],[1,3,4,6,19,33,36,134],[1,3,6,20,33,135],[1,3,6,24,33,136],[1,4,5,
6,25,34,35,36,137],[1,3,6,16,138],[1,3,7,16,139],[1,3,8,16,37,140],[1,3,9,16,
141],[1,3,9,16,38,142],[1,3,10,16,143],[1,3,7,18,144],[1,3,8,18,37,145],[1,3,
10,18,146],[1,3,11,18,147],[1,3,9,18,38,148],[1,3,12,18,149],[1,3,8,20,37,
150],[1,3,9,20,38,151],[1,2,3,8,13,37,46,152],[1,3,8,17,37,153],[1,2,3,4,8,14,
37,46,47,154],[1,3,4,8,19,37,47,155],[1,3,5,8,21,37,48,156],[1,3,4,8,22,37,47,
157],[1,3,5,8,23,37,48,158],[1,3,8,24,37,159],[1,2,3,4,9,14,38,49,50,160],[1,
3,4,9,19,38,50,161],[1,3,4,9,22,38,50,162],[1,3,9,24,38,163],[1,3,4,7,19,39,
41,42,164],[1,4,5,7,25,39,43,45,165],[1,4,5,11,25,40,54,55,166],[1,3,5,7,23,
41,44,45,167],[1,4,5,7,25,42,43,44,168],[1,2,4,5,8,15,46,47,48,169],[1,4,5,8,
25,47,48,170],[1,5,8,26,48,171],[1,5,8,27,48,172],[1,4,5,10,25,51,52,53,173],[
1,5,7,26,174],[1,5,10,26,175],[1,2,57,176],[1,4,57,177],[1,5,57,178],[1,6,28,
179],[1,8,28,180],[1,9,28,181],[1,2,3,4,13,14,16,17,18,19,20,58,59,60,63,64,
68,71,182],[1,2,3,4,5,13,14,15,16,17,21,22,23,24,58,61,62,69,70,72,73,183],[1,
2,3,4,5,13,14,15,18,21,22,59,61,65,74,184],[1,2,3,4,5,13,14,15,18,19,20,23,24,
25,59,60,62,66,67,75,76,185],[1,2,3,4,5,13,14,15,19,20,21,22,25,60,61,77,78,
79,186],[1,2,3,4,5,13,14,15,16,19,21,22,23,25,61,63,66,69,77,187],[1,2,3,4,5,
13,14,15,21,22,23,24,26,61,62,80,81,84,188],[1,2,3,4,5,13,14,15,17,20,21,22,
24,61,64,67,72,79,189],[1,2,3,4,5,13,14,15,21,22,24,27,61,81,82,190],[1,2,3,4,
14,16,18,19,20,22,24,63,65,67,68,70,75,78,191],[1,2,3,4,5,14,15,17,18,19,20,
22,23,25,64,65,66,71,73,76,78,192],[1,3,5,16,18,20,21,23,68,69,74,76,79,193],[
1,3,5,16,21,23,26,69,80,194],[1,3,4,5,16,19,21,22,23,24,25,69,70,77,81,84,
195],[1,3,5,16,20,21,23,27,69,79,82,196],[1,3,5,16,17,21,23,24,69,72,81,197],[
1,3,4,5,17,18,19,21,22,24,25,71,72,74,75,77,198],[1,3,4,5,17,19,21,22,23,24,
25,26,72,73,77,80,84,199],[1,3,5,17,21,24,27,72,82,200],[1,3,5,17,20,21,24,72,
79,81,201],[1,3,5,18,21,23,26,27,74,80,82,83,202],[1,3,5,18,21,24,74,81,203],[
1,3,4,5,19,21,22,25,27,77,82,85,204],[1,3,4,5,19,20,21,22,24,25,77,79,81,
205],[1,3,5,20,21,23,26,79,80,206],[1,3,5,21,23,26,27,80,83,86,87,88,207],[1,
3,5,21,23,26,27,80,87,208],[1,3,5,21,26,27,82,83,87,88,90,209],[1,3,5,21,27,
82,89,210],[1,4,5,25,26,27,85,88,89,211],[1,4,5,25,27,85,89,90,212],[1,2,6,7,
29,30,91,213],[1,2,6,7,29,31,91,214],[1,2,6,7,11,30,31,94,215],[1,3,6,8,9,32,
37,92,216],[1,3,6,7,32,33,91,217],[1,3,6,9,10,32,38,93,218],[1,3,6,7,32,41,91,
219],[1,4,6,7,39,42,91,220],[1,4,6,7,34,43,91,221],[1,5,6,7,44,45,91,222],[1,
3,6,8,9,33,37,38,92,223],[1,2,6,8,9,31,46,49,92,224],[1,2,6,8,9,29,46,92,
225],[1,4,6,8,9,34,47,50,92,226],[1,5,6,8,9,35,48,92,227],[1,4,6,8,9,36,47,92,
228],[1,2,6,9,10,29,49,93,229],[1,4,6,9,10,34,50,52,93,230],[1,5,6,7,11,35,44,
94,231],[1,5,6,10,12,35,53,95,232],[1,4,6,7,11,36,39,40,94,233],[1,3,6,7,11,
33,41,94,234],[1,4,6,7,11,34,43,54,94,235],[1,5,6,7,11,35,45,55,94,236],[1,4,
6,7,11,36,42,94,237],[1,4,6,10,12,34,52,56,95,238],[1,4,6,10,12,36,51,95,
239],[1,3,7,8,10,37,41,96,240],[1,3,7,9,12,38,41,99,241],[1,4,7,11,40,42,98,
242],[1,4,7,8,10,39,47,96,243],[1,4,7,8,10,42,47,51,96,244],[1,2,7,8,10,30,46,
96,245],[1,4,7,8,10,43,47,52,96,246],[1,5,7,8,10,44,48,53,96,247],[1,5,7,8,10,
45,48,96,248],[1,4,7,9,10,39,51,97,249],[1,4,7,9,10,43,50,52,97,250],[1,5,7,9,
10,45,53,97,251],[1,4,7,11,43,54,98,252],[1,5,7,11,44,55,98,253],[1,2,7,9,12,
30,49,99,254],[1,4,7,9,12,43,50,56,99,255],[1,4,7,10,12,43,52,56,100,256],[1,
4,8,11,12,40,47,101,257],[1,4,8,11,12,47,54,56,101,258],[1,5,8,11,12,48,55,
101,259],[1,4,9,10,11,12,50,52,54,56,102,260],[1,4,10,11,40,51,103,261],[1,4,
10,11,40,51,104,262],[1,4,10,11,52,54,103,263],[1,5,10,11,53,55,103,264],[1,4,
10,11,52,54,104,265],[1,5,10,11,53,55,104,266],[1,4,11,40,54,105,267],[1,5,11,
55,105,268],[1,4,11,12,40,56,106,269],[1,5,11,55,107,270],[1,2,3,13,28,109,
110,271],[1,2,3,4,14,28,109,111,112,272],[1,2,4,5,15,28,109,112,113,273],[1,3,
16,28,110,274],[1,3,17,28,110,275],[1,3,5,21,28,110,111,113,276],[1,3,4,22,28,
110,112,277],[1,3,5,23,28,110,113,278],[1,3,24,28,110,279],[1,3,17,28,111,
280],[1,3,20,28,111,281],[1,3,24,28,111,282],[1,5,27,28,113,283],[1,7,57,
284],[1,8,57,285],[1,10,57,286],[1,2,3,6,13,16,17,29,33,58,114,127,130,287],[
1,2,3,4,7,13,14,18,39,59,144,288],[1,2,3,4,6,13,14,18,29,33,36,59,114,117,131,
289],[1,2,3,4,11,13,14,18,40,59,147,290],[1,2,3,4,6,13,19,20,29,33,36,60,114,
134,135,291],[1,2,3,4,6,13,14,18,29,31,32,33,34,59,114,115,116,122,124,292],[
1,2,3,4,6,13,19,20,29,33,34,60,114,128,129,293],[1,2,3,4,5,6,13,14,15,21,22,
29,32,33,34,35,61,114,116,118,125,132,294],[1,2,3,5,6,13,23,24,29,33,35,62,
114,133,136,295],[1,2,3,4,5,6,13,14,15,21,22,29,31,32,33,34,35,36,61,115,117,
118,122,123,125,126,296],[1,2,3,4,6,14,18,22,29,32,33,34,36,65,116,117,124,
126,132,297],[1,2,3,4,6,14,16,19,29,33,36,63,117,127,134,298],[1,2,3,4,5,6,14,
15,19,23,25,29,33,34,35,36,66,117,118,128,133,137,299],[1,2,3,4,6,14,17,20,29,
33,36,64,117,130,135,300],[1,2,3,4,6,14,20,24,29,33,36,67,117,129,136,301],[1,
2,3,4,6,14,16,19,29,63,138,302],[1,2,3,4,7,14,16,19,30,63,139,303],[1,2,3,4,7,
14,18,22,30,65,144,304],[1,2,3,4,5,7,14,15,19,23,25,30,39,41,42,43,44,45,66,
119,120,121,164,165,167,168,305],[1,2,3,4,6,14,16,19,31,33,34,63,122,127,128,
306],[1,2,3,4,6,14,17,20,31,33,34,64,122,129,130,307],[1,2,3,4,6,14,18,22,31,
33,34,65,122,131,132,308],[1,2,3,4,5,6,14,15,19,23,25,31,33,34,35,36,66,122,
123,133,134,137,309],[1,2,3,4,6,14,20,24,31,33,34,67,122,135,136,310],[1,3,6,
16,18,20,32,33,68,124,127,129,311],[1,3,4,6,17,18,19,32,33,34,71,124,128,130,
312],[1,3,5,6,18,21,32,33,35,74,124,125,131,313],[1,3,5,6,18,20,23,32,33,35,
76,124,133,135,314],[1,3,4,6,18,19,24,32,33,36,75,124,134,136,315],[1,3,5,6,
16,21,23,32,33,35,69,125,127,133,316],[1,3,4,5,6,19,21,22,25,32,33,34,35,36,
77,125,126,128,134,137,317],[1,3,5,6,17,21,24,32,33,35,72,125,130,136,318],[1,
3,5,6,20,21,32,33,35,79,125,129,135,319],[1,3,6,16,18,20,33,68,127,131,135,
320],[1,3,4,6,16,22,24,33,34,70,127,132,136,321],[1,3,4,6,18,19,24,33,34,75,
128,131,136,322],[1,3,4,6,19,20,22,33,34,78,128,132,135,323],[1,3,5,6,18,20,
23,33,35,76,129,131,133,324],[1,3,4,6,19,20,22,33,34,36,78,129,132,134,325],[
1,3,4,6,17,18,19,33,36,71,130,131,134,326],[1,3,4,5,6,17,22,23,33,34,35,73,
130,132,133,327],[1,2,3,6,13,16,17,31,58,138,328],[1,3,6,16,18,20,32,68,138,
329],[1,3,5,6,16,21,23,33,69,138,330],[1,3,4,6,16,22,24,34,70,138,331],[1,3,8,
16,18,20,37,68,140,145,150,332],[1,3,9,16,18,20,38,68,142,148,151,333],[1,3,7,
16,18,20,41,68,139,334],[1,3,4,7,16,22,24,43,70,139,335],[1,2,3,8,13,16,17,37,
46,58,140,152,153,336],[1,2,3,4,8,14,16,19,37,46,47,63,140,154,155,337],[1,3,
5,8,16,21,23,37,48,69,140,156,158,338],[1,3,4,8,16,22,24,37,47,70,140,157,159,
339],[1,2,3,9,13,16,17,49,58,141,340],[1,3,5,9,16,21,23,38,69,141,341],[1,3,4,
9,16,22,24,50,70,141,342],[1,2,3,4,9,14,16,19,38,49,50,63,142,160,161,343],[1,
3,4,9,16,22,24,38,50,70,142,162,163,344],[1,3,4,10,16,22,24,52,70,143,345],[1,
3,7,16,18,20,41,68,144,346],[1,3,4,7,17,18,19,42,71,144,347],[1,3,5,7,18,21,
44,74,144,348],[1,3,4,7,18,19,24,43,75,144,349],[1,3,5,7,18,20,23,45,76,144,
350],[1,2,3,4,8,13,14,18,37,46,47,59,145,152,154,351],[1,3,4,8,17,18,19,37,47,
71,145,153,155,352],[1,3,5,8,18,21,37,48,74,145,156,353],[1,2,3,4,8,14,18,22,
37,46,47,65,145,154,157,354],[1,3,4,8,18,19,24,37,47,75,145,155,159,355],[1,3,
5,8,18,20,23,37,48,76,145,150,158,356],[1,3,4,10,17,18,19,51,71,146,357],[1,3,
5,10,18,21,53,74,146,358],[1,3,4,10,18,19,24,52,75,146,359],[1,3,4,11,18,19,
24,54,75,147,360],[1,3,5,11,18,20,23,55,76,147,361],[1,2,3,4,9,14,18,22,38,49,
50,65,148,160,162,362],[1,3,4,9,18,19,24,38,50,75,148,161,163,363],[1,3,4,12,
18,19,24,56,75,149,364],[1,2,3,4,8,13,19,20,37,46,47,60,150,152,155,365],[1,2,
3,4,8,14,17,20,37,46,47,64,150,153,154,366],[1,2,3,4,8,14,20,24,37,46,47,67,
150,154,159,367],[1,3,4,8,19,20,22,37,47,78,150,155,157,368],[1,3,5,8,20,21,
37,48,79,150,156,369],[1,2,3,4,9,14,20,24,38,49,50,67,151,160,163,370],[1,3,4,
9,19,20,22,38,50,78,151,161,162,371],[1,2,3,4,5,8,13,14,15,21,22,37,46,47,48,
61,152,154,156,157,169,372],[1,2,3,5,8,13,23,24,37,46,48,62,152,158,159,373],[
1,3,5,8,17,21,24,37,48,72,153,156,159,374],[1,3,4,5,8,17,22,23,37,47,48,73,
153,157,158,375],[1,2,3,4,5,8,14,15,19,23,25,37,46,47,48,66,154,155,158,169,
170,376],[1,3,4,5,8,19,21,22,25,37,47,48,77,155,156,157,170,377],[1,3,5,8,21,
23,26,37,48,80,156,158,171,378],[1,3,5,8,21,24,37,48,81,156,159,379],[1,3,5,8,
21,27,37,48,82,156,172,380],[1,3,5,8,21,26,27,37,48,83,156,171,172,381],[1,3,
4,5,8,22,23,24,37,47,48,84,157,158,159,382],[1,4,5,8,25,27,47,48,85,170,172,
383],[1,5,8,26,48,86,171,384],[1,5,8,26,27,48,87,171,172,385],[1,5,8,26,27,48,
88,171,172,386],[1,5,8,27,48,89,172,387],[1,5,8,27,48,90,172,388],[1,3,5,7,21,
26,27,41,83,174,389],[1,5,7,26,44,86,174,390],[1,5,7,26,27,45,88,174,391],[1,
5,10,26,53,86,175,392],[1,5,7,27,44,90,393],[1,5,10,27,53,90,394],[1,5,10,27,
53,90,395],[1,6,7,8,9,10,91,92,93,96,97,396],[1,6,7,11,91,94,98,397],[1,6,7,9,
10,12,91,93,95,99,100,398],[1,6,7,8,9,10,11,12,92,94,95,96,99,101,102,399],[1,
6,7,9,10,11,12,93,94,95,97,100,102,103,104,400],[1,7,8,10,11,12,96,98,100,101,
103,104,401],[1,7,9,10,11,12,97,98,99,100,102,402],[1,7,11,98,105,403],[1,7,
11,12,98,106,404],[1,7,11,98,108,405],[1,7,11,98,107,406],[1,8,11,12,101,105,
106,407],[1,8,11,12,101,107,108,408],[1,10,11,12,103,105,106,409],[1,10,11,
103,107,108,410],[1,10,11,12,104,105,106,411],[1,10,11,104,107,108,412],[1,2,
4,5,15,57,176,177,178,413],[1,2,6,28,31,109,179,414],[1,3,6,28,33,111,179,
415],[1,4,6,28,34,112,179,416],[1,3,8,28,37,110,180,417],[1,3,8,28,37,111,180,
418],[1,3,9,28,38,111,181,419],[1,2,8,28,46,109,180,420],[1,4,8,28,47,112,180,
421],[1,5,8,28,48,113,180,422],[1,2,9,28,49,109,181,423],[1,4,9,28,50,112,181,
424],[1,2,3,4,5,13,14,15,16,17,18,19,20,21,22,23,24,25,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,182,183,184,185,186,187,189,191,
192,193,198,425],[1,2,3,4,5,13,14,15,16,17,19,21,22,23,24,25,26,58,61,62,63,
66,69,70,72,73,77,80,81,84,183,187,188,194,195,197,199,426],[1,2,3,4,5,13,14,
15,16,17,20,21,22,23,24,27,58,61,62,64,67,69,70,72,73,79,81,82,183,189,190,
196,197,200,201,427],[1,2,3,4,5,13,14,15,18,21,22,23,24,26,27,59,61,62,65,74,
80,81,82,83,84,184,188,190,202,203,428],[1,2,3,4,5,13,14,15,16,19,20,21,22,23,
24,25,27,60,61,63,66,69,70,77,78,79,81,82,84,85,186,187,190,195,196,204,205,
429],[1,2,3,4,5,13,14,15,17,19,20,21,22,23,24,25,26,60,61,62,64,67,72,73,77,
78,79,80,81,84,186,188,189,199,201,205,206,430],[1,3,5,16,18,20,21,23,26,27,
68,69,74,76,79,80,82,83,193,194,196,202,206,431],[1,3,4,5,16,17,18,19,20,21,
22,23,24,25,68,69,70,71,72,74,75,76,77,79,81,84,193,195,197,198,201,203,205,
432],[1,3,5,16,21,23,26,27,69,80,83,86,87,88,194,207,208,433],[1,3,4,5,17,18,
19,21,22,23,24,25,26,27,71,72,73,74,75,77,80,82,83,84,85,198,199,200,202,204,
434],[1,3,5,17,21,24,26,27,72,82,83,87,88,89,90,200,209,210,435],[1,3,5,18,21,
23,26,27,74,80,82,83,86,87,88,90,202,207,209,436],[1,3,5,18,21,23,26,27,74,80,
82,83,87,202,208,437],[1,3,5,18,21,23,26,27,74,80,82,83,89,202,210,438],[1,3,
5,18,21,23,24,26,27,74,80,81,82,83,202,203,439],[1,3,4,5,19,21,22,25,26,27,77,
82,83,85,87,88,89,90,204,209,210,211,212,440],[1,3,5,20,21,23,26,27,79,80,83,
86,87,88,206,207,208,441],[1,2,3,6,7,13,29,30,31,32,33,91,114,115,213,214,217,
442],[1,2,3,4,6,7,14,29,30,32,34,41,43,91,116,120,213,219,221,443],[1,2,4,5,6,
7,15,29,30,39,42,44,45,91,119,121,213,220,222,444],[1,2,3,6,7,13,29,31,32,41,
91,115,214,219,445],[1,2,3,4,6,7,14,29,31,32,33,34,43,91,116,122,214,217,221,
446],[1,2,4,5,6,7,11,15,30,31,35,36,39,40,44,94,119,123,215,231,233,447],[1,2,
3,4,6,7,11,14,30,31,33,34,41,43,54,94,120,122,215,234,235,448],[1,2,4,5,6,7,
11,15,30,31,35,36,42,45,55,94,121,123,215,236,237,449],[1,3,6,8,9,18,32,33,37,
38,92,124,145,216,223,450],[1,2,3,6,8,9,13,29,31,32,37,46,49,92,115,152,216,
224,225,451],[1,2,3,4,6,8,9,14,29,32,34,37,46,47,50,92,116,154,216,225,226,
452],[1,3,5,6,8,9,21,32,33,35,37,38,48,92,125,156,216,223,227,453],[1,3,4,6,8,
9,22,32,34,36,37,47,50,92,126,157,216,226,228,454],[1,3,6,7,18,32,33,41,91,
124,217,219,455],[1,2,3,4,6,9,10,14,29,32,34,38,49,50,52,93,116,160,218,229,
230,456],[1,3,6,7,20,32,41,91,219,457],[1,3,4,6,7,19,32,39,41,42,91,164,219,
220,458],[1,3,5,6,7,23,32,41,44,45,91,167,219,222,459],[1,3,6,7,24,32,41,91,
219,460],[1,4,5,6,7,25,34,39,42,43,44,45,91,165,168,220,221,222,461],[1,3,6,7,
16,33,91,127,138,139,462],[1,3,6,8,9,16,33,37,38,92,127,140,142,223,463],[1,3,
6,9,10,16,33,93,127,141,143,464],[1,3,6,8,9,20,33,37,38,92,129,150,223,465],[
1,2,3,4,6,8,9,14,31,33,34,37,38,46,47,49,50,92,122,154,160,223,224,226,466],[
1,2,3,6,8,9,13,29,33,37,38,46,92,114,152,223,225,467],[1,3,4,6,8,9,19,33,34,
37,38,47,50,92,128,155,161,223,226,468],[1,3,6,8,9,17,33,37,38,92,130,153,223,
469],[1,2,3,4,6,8,9,14,29,33,36,37,38,46,47,92,117,154,223,225,228,470],[1,3,
6,8,9,18,33,37,38,92,131,145,148,223,471],[1,3,4,6,8,9,22,33,34,37,38,47,50,
92,132,157,162,223,226,472],[1,3,5,6,8,9,23,33,35,37,38,48,92,133,158,223,227,
473],[1,3,4,6,8,9,19,33,36,37,38,47,92,134,155,223,228,474],[1,3,6,8,9,20,33,
37,38,92,135,150,151,223,475],[1,3,6,8,9,24,33,37,38,92,136,159,163,223,476],[
1,3,6,7,11,18,33,94,131,144,147,477],[1,3,6,10,12,18,33,95,131,146,149,478],[
1,2,4,5,6,8,9,15,31,35,36,46,47,48,49,92,123,169,224,227,228,479],[1,2,4,5,6,
8,9,15,29,34,35,46,47,48,50,92,118,169,225,226,227,480],[1,4,5,6,8,9,25,34,35,
36,47,48,50,92,137,170,226,227,228,481],[1,3,5,6,7,11,23,33,35,41,44,45,55,94,
133,167,231,234,236,482],[1,4,5,6,7,11,25,34,35,36,42,43,44,54,94,137,168,231,
235,237,483],[1,4,5,6,10,12,25,34,35,36,51,52,53,56,95,137,173,232,238,239,
484],[1,3,4,6,7,11,19,33,36,39,40,41,42,94,134,164,233,234,237,485],[1,4,5,6,
7,11,25,34,35,36,39,40,43,45,54,55,94,137,165,166,233,235,236,486],[1,3,6,8,9,
16,37,92,138,140,141,487],[1,3,6,9,10,16,38,93,138,142,143,488],[1,3,7,8,10,
16,37,96,139,140,143,489],[1,3,7,9,10,16,38,97,139,141,142,143,490],[1,3,7,8,
10,18,37,96,144,145,146,491],[1,3,7,9,12,18,38,99,144,148,149,492],[1,3,8,11,
12,18,37,101,145,147,149,493],[1,3,9,10,11,12,18,38,102,146,147,148,149,494],[
1,3,4,7,8,10,19,37,39,41,42,47,51,96,155,164,240,243,244,495],[1,2,3,4,7,8,10,
14,30,37,41,43,46,47,52,96,120,154,240,245,246,496],[1,3,5,7,8,10,23,37,41,44,
45,48,53,96,158,167,240,247,248,497],[1,2,3,4,7,9,12,14,30,38,41,43,49,50,56,
99,120,160,241,254,255,498],[1,4,5,7,11,25,40,42,43,44,54,55,98,166,168,242,
252,253,499],[1,2,4,5,7,8,10,15,30,39,44,46,47,48,53,96,119,169,243,245,247,
500],[1,4,5,7,8,10,25,39,43,45,47,48,52,96,165,170,243,246,248,501],[1,2,4,5,
7,8,10,15,30,42,45,46,47,48,51,96,121,169,244,245,248,502],[1,4,5,7,8,10,25,
42,43,44,47,48,51,52,53,96,168,170,173,244,246,247,503],[1,4,5,7,9,10,25,39,
43,45,50,51,52,53,97,165,173,249,250,251,504],[1,4,5,8,11,12,25,40,47,48,54,
55,56,101,166,170,257,258,259,505],[1,5,7,8,10,26,48,96,171,174,175,506],[1,4,
5,10,11,25,40,51,52,53,54,55,103,166,173,261,263,264,507],[1,4,5,10,11,25,40,
51,52,53,54,55,104,166,173,262,265,266,508],[1,4,5,11,25,40,54,55,105,166,267,
268,509],[1,5,11,27,55,105,268,510],[1,2,3,13,16,17,28,58,109,110,271,274,275,
511],[1,2,3,4,5,13,14,15,21,22,28,61,109,110,111,112,113,271,272,273,276,277,
512],[1,2,3,5,13,23,24,28,62,109,110,113,271,278,279,513],[1,2,3,4,14,17,20,
28,64,109,111,112,272,280,281,514],[1,2,3,4,14,20,24,28,67,109,111,112,272,
281,282,515],[1,3,5,16,21,23,28,69,110,111,113,274,276,278,516],[1,3,4,16,22,
24,28,70,110,112,274,277,279,517],[1,3,5,17,21,24,28,72,110,111,113,275,276,
279,518],[1,3,4,5,17,22,23,28,73,110,112,113,275,277,278,519],[1,3,5,17,21,24,
28,72,110,111,113,276,280,282,520],[1,3,5,21,27,28,82,110,111,113,276,283,
521],[1,3,5,21,24,28,81,110,111,113,276,282,522],[1,3,5,20,21,28,79,110,111,
113,276,281,523],[1,2,7,30,57,176,284,524],[1,4,7,39,57,177,284,525],[1,5,7,
44,57,178,284,526],[1,4,8,47,57,177,285,527],[1,2,8,46,57,176,285,528],[1,5,8,
48,57,178,285,529],[1,5,10,53,57,178,286,530],[1,6,8,9,28,92,179,180,181,
531],[1,2,3,4,6,13,14,16,17,18,19,20,29,33,36,58,59,60,63,64,68,71,114,117,
127,130,131,134,135,182,287,289,291,298,300,320,326,532],[1,2,3,4,6,13,14,16,
17,18,19,20,29,31,32,33,34,58,59,60,63,64,68,71,114,115,116,122,124,127,128,
129,130,182,287,292,293,306,307,311,312,533],[1,2,3,4,5,6,13,14,15,16,17,21,
22,23,24,29,32,33,34,35,58,61,62,69,70,72,73,114,116,118,125,127,130,132,133,
136,183,287,294,295,316,318,321,327,534],[1,2,3,4,7,13,14,16,17,18,19,20,39,
41,42,58,59,60,63,64,68,71,144,164,182,288,346,347,535],[1,2,3,4,5,7,13,14,15,
18,21,22,30,39,44,59,61,65,74,119,144,184,288,304,348,536],[1,2,3,4,5,7,13,14,
15,18,19,20,23,24,25,39,43,45,59,60,62,66,67,75,76,144,165,185,288,349,350,
537],[1,2,3,4,5,6,13,14,15,18,21,22,29,31,32,33,34,35,36,59,61,65,74,114,115,
116,117,118,122,123,124,125,126,131,132,184,289,292,294,296,297,308,313,538],[
1,2,3,4,5,6,13,14,15,18,19,20,23,24,25,29,33,34,35,36,59,60,62,66,67,75,76,
114,117,118,128,129,131,133,136,137,185,289,293,295,299,301,322,324,539],[1,2,
3,4,5,11,13,14,15,18,19,20,23,24,25,40,54,55,59,60,62,66,67,75,76,147,166,185,
290,360,361,540],[1,2,3,4,5,6,13,14,15,18,19,20,23,24,25,29,31,32,33,34,35,36,
59,60,62,66,67,75,76,114,115,116,122,123,124,133,134,135,136,137,185,291,292,
295,309,310,314,315,541],[1,2,3,4,5,6,13,14,15,19,20,21,22,25,29,32,33,34,35,
36,60,61,77,78,79,114,116,118,125,126,128,129,132,134,135,137,186,291,293,294,
317,319,323,325,542],[1,2,3,4,5,6,13,14,15,16,19,21,22,23,25,29,33,61,63,66,
69,77,114,138,187,302,330,543],[1,2,3,4,5,6,13,14,15,16,19,21,22,23,25,29,31,
32,33,34,35,36,61,63,66,69,77,115,117,118,122,123,125,126,127,128,133,134,137,
187,296,298,299,306,309,316,317,544],[1,2,3,4,5,6,13,14,15,17,20,21,22,24,29,
31,32,33,34,35,36,61,64,67,72,79,115,117,118,122,123,125,126,129,130,135,136,
189,296,300,301,307,310,318,319,545],[1,2,3,4,6,14,16,18,19,20,22,24,29,32,33,
34,36,63,65,67,68,70,75,78,116,117,124,126,127,129,132,134,136,191,297,298,
301,311,315,321,325,546],[1,2,3,4,5,6,14,15,17,18,19,20,22,23,25,29,32,33,34,
35,36,64,65,66,71,73,76,78,116,117,118,124,126,128,130,132,133,135,137,192,
297,299,300,312,314,323,327,547],[1,2,3,4,6,13,14,16,17,18,19,20,29,31,32,58,
59,60,63,64,68,71,115,138,182,302,328,329,548],[1,2,3,4,6,14,16,18,19,20,22,
24,29,32,34,63,65,67,68,70,75,78,116,138,191,302,329,331,549],[1,2,3,4,7,14,
16,18,19,20,22,24,30,41,43,63,65,67,68,70,75,78,120,139,191,303,334,335,550],[
1,2,3,4,7,14,16,18,19,20,22,24,30,41,43,63,65,67,68,70,75,78,120,144,191,304,
346,349,551],[1,2,3,4,5,7,14,15,17,18,19,20,22,23,25,30,42,45,64,65,66,71,73,
76,78,121,144,192,304,347,350,552],[1,2,3,4,6,14,16,18,19,20,22,24,31,33,34,
63,65,67,68,70,75,78,122,127,128,131,132,135,136,191,306,308,310,320,321,322,
323,553],[1,2,3,4,5,6,14,15,17,18,19,20,22,23,25,31,33,34,35,36,64,65,66,71,
73,76,78,122,123,129,130,131,132,133,134,137,192,307,308,309,324,325,326,327,
554],[1,3,5,6,16,18,20,21,23,32,33,35,68,69,74,76,79,124,125,127,129,131,133,
135,193,311,313,314,316,319,320,324,555],[1,3,4,5,6,17,18,19,21,22,24,25,32,
33,34,35,36,71,72,74,75,77,124,125,126,128,130,131,134,136,137,198,312,313,
315,317,318,322,326,556],[1,2,3,4,5,6,13,14,15,16,17,21,22,23,24,31,33,34,58,
61,62,69,70,72,73,122,138,183,328,330,331,557],[1,3,5,6,16,18,20,21,23,32,33,
68,69,74,76,79,124,138,193,329,330,558],[1,3,5,6,16,21,23,26,33,69,80,127,138,
194,330,559],[1,3,4,5,6,16,19,21,22,23,24,25,33,34,69,70,77,81,84,128,138,195,
330,331,560],[1,3,5,6,16,20,21,23,27,33,69,79,82,129,138,196,330,561],[1,3,5,
6,16,17,21,23,24,33,69,72,81,130,138,197,330,562],[1,2,3,4,8,13,14,16,17,18,
19,20,37,46,47,58,59,60,63,64,68,71,140,145,150,152,153,154,155,182,332,336,
337,351,352,365,366,563],[1,3,5,8,16,18,20,21,23,37,48,68,69,74,76,79,140,145,
150,156,158,193,332,338,353,356,369,564],[1,2,3,4,8,14,16,18,19,20,22,24,37,
46,47,63,65,67,68,70,75,78,140,145,150,154,155,157,159,191,332,337,339,354,
355,367,368,565],[1,2,3,4,9,14,16,18,19,20,22,24,38,49,50,63,65,67,68,70,75,
78,142,148,151,160,161,162,163,191,333,343,344,362,363,370,371,566],[1,2,3,4,
5,8,13,14,15,16,17,21,22,23,24,37,46,47,48,58,61,62,69,70,72,73,140,152,153,
154,156,157,158,159,169,183,336,338,339,372,373,374,375,567],[1,2,3,4,5,8,13,
14,15,16,19,21,22,23,25,37,46,47,48,61,63,66,69,77,140,152,154,155,156,157,
158,169,170,187,337,338,372,376,377,568],[1,3,5,8,16,21,23,26,37,48,69,80,140,
156,158,171,194,338,378,569],[1,3,4,5,8,16,19,21,22,23,24,25,37,47,48,69,70,
77,81,84,140,155,156,157,158,159,170,195,338,339,377,379,382,570],[1,3,5,8,16,
20,21,23,27,37,48,69,79,82,140,150,156,158,172,196,338,369,380,571],[1,3,5,8,
16,17,21,23,24,37,48,69,72,81,140,153,156,158,159,197,338,374,379,572],[1,2,3,
4,5,9,13,14,15,16,17,21,22,23,24,38,49,50,58,61,62,69,70,72,73,141,160,183,
340,341,342,573],[1,3,5,9,16,21,23,26,38,69,80,141,142,194,341,574],[1,3,4,5,
9,16,19,21,22,23,24,25,38,50,69,70,77,81,84,141,161,195,341,342,575],[1,3,5,7,
16,21,23,26,69,80,139,174,194,576],[1,3,5,10,16,21,23,26,69,80,143,175,194,
577],[1,3,5,7,16,18,20,21,23,41,44,45,68,69,74,76,79,144,167,193,346,348,350,
578],[1,3,4,5,7,17,18,19,21,22,24,25,42,43,44,71,72,74,75,77,144,168,198,347,
348,349,579],[1,2,3,4,5,8,13,14,15,18,21,22,37,46,47,48,59,61,65,74,145,152,
154,156,157,169,184,351,353,354,372,580],[1,2,3,4,5,8,13,14,15,18,19,20,23,24,
25,37,46,47,48,59,60,62,66,67,75,76,145,150,152,154,155,158,159,169,170,185,
351,355,356,365,367,373,376,581],[1,3,4,5,8,17,18,19,21,22,24,25,37,47,48,71,
72,74,75,77,145,153,155,156,157,159,170,198,352,353,355,374,377,582],[1,2,3,4,
5,8,14,15,17,18,19,20,22,23,25,37,46,47,48,64,65,66,71,73,76,78,145,150,153,
154,155,157,158,169,170,192,352,354,356,366,368,375,376,583],[1,3,5,8,18,21,
23,26,27,37,48,74,80,82,83,145,156,158,171,172,202,353,378,380,381,584],[1,3,
5,8,18,21,24,37,48,74,81,145,156,159,203,353,379,585],[1,3,4,5,10,17,18,19,21,
22,24,25,51,52,53,71,72,74,75,77,146,173,198,357,358,359,586],[1,2,3,4,5,8,13,
14,15,19,20,21,22,25,37,46,47,48,60,61,77,78,79,150,152,154,155,156,157,169,
170,186,365,368,369,372,377,587],[1,2,3,4,5,8,13,14,15,17,20,21,22,24,37,46,
47,48,61,64,67,72,79,150,152,153,154,156,157,159,169,189,366,367,369,372,374,
588],[1,3,4,5,8,19,20,21,22,24,25,37,47,48,77,79,81,150,155,156,157,159,170,
205,369,377,379,589],[1,3,5,8,20,21,23,26,37,48,79,80,150,156,158,171,206,369,
378,590],[1,3,5,8,17,20,21,24,37,48,72,79,81,150,153,156,159,201,369,374,379,
591],[1,2,3,4,5,8,13,14,15,21,22,23,24,26,37,46,47,48,61,62,80,81,84,152,154,
156,157,158,159,169,171,188,372,373,378,379,382,592],[1,2,3,4,5,8,13,14,15,21,
22,24,27,37,46,47,48,61,81,82,152,154,156,157,159,169,172,190,372,379,380,
593],[1,3,4,5,8,17,19,21,22,23,24,25,26,37,47,48,72,73,77,80,84,153,155,156,
157,158,159,170,171,199,374,375,377,378,382,594],[1,3,5,8,17,21,24,27,37,48,
72,82,153,156,159,172,200,374,380,595],[1,3,4,5,8,19,21,22,25,27,37,47,48,77,
82,85,155,156,157,170,172,204,377,380,383,596],[1,3,5,8,21,23,26,27,37,48,80,
83,86,87,88,156,158,171,172,207,378,381,384,385,386,597],[1,3,5,8,21,23,26,27,
37,48,80,87,156,158,171,172,208,378,385,598],[1,3,5,8,21,26,27,37,48,82,83,87,
88,90,156,171,172,209,380,381,385,386,388,599],[1,3,5,8,21,27,37,48,82,89,156,
172,210,380,387,600],[1,4,5,8,25,26,27,47,48,85,88,89,170,171,172,211,383,386,
387,601],[1,4,5,8,25,27,47,48,85,89,90,170,172,212,383,387,388,602],[1,3,5,7,
21,23,26,27,41,44,45,80,83,86,87,88,167,174,207,389,390,391,603],[1,4,5,7,25,
27,42,43,44,85,89,90,168,212,393,604],[1,4,5,10,25,27,51,52,53,85,89,90,173,
212,394,605],[1,4,5,10,25,27,51,52,53,85,89,90,173,212,395,606],[1,2,6,7,11,
29,30,31,91,94,98,213,214,215,397,607],[1,3,6,7,8,9,10,32,33,37,38,91,92,93,
96,97,216,217,218,223,396,608],[1,3,6,7,8,9,10,32,37,41,91,92,93,96,97,216,
219,240,396,609],[1,3,6,7,11,32,33,41,91,94,98,217,219,234,397,610],[1,3,6,7,
9,10,12,32,38,41,91,93,95,99,100,218,219,241,398,611],[1,4,6,7,11,36,39,40,42,
91,94,98,220,233,237,242,397,612],[1,2,6,7,8,9,10,29,31,46,49,91,92,93,96,97,
214,224,225,229,396,613],[1,4,6,7,8,9,10,39,42,47,51,91,92,93,96,97,220,243,
244,249,396,614],[1,2,6,7,8,9,10,29,30,46,91,92,93,96,97,213,225,245,396,
615],[1,4,6,7,8,9,10,34,43,47,50,52,91,92,93,96,97,221,226,230,246,250,396,
616],[1,5,6,7,8,9,10,44,45,48,53,91,92,93,96,97,222,247,248,251,396,617],[1,4,
6,7,11,34,43,54,91,94,98,221,235,252,397,618],[1,5,6,7,11,35,44,45,55,91,94,
98,222,231,236,253,397,619],[1,2,6,7,9,10,12,29,30,49,91,93,95,99,100,213,229,
254,398,620],[1,4,6,7,9,10,12,34,43,50,52,56,91,93,95,99,100,221,230,238,255,
256,398,621],[1,2,6,7,8,9,10,11,12,30,31,46,49,92,94,95,96,99,101,102,215,224,
245,254,399,622],[1,5,6,7,8,9,10,11,12,35,44,48,53,92,94,95,96,99,101,102,227,
231,232,247,399,623],[1,4,6,7,8,9,10,11,12,36,39,40,47,92,94,95,96,99,101,102,
228,233,243,257,399,624],[1,3,6,7,8,9,10,11,12,33,37,38,41,92,94,95,96,99,101,
102,223,234,240,241,399,625],[1,4,6,7,8,9,10,11,12,34,43,47,50,52,54,56,92,94,
95,96,99,101,102,226,235,238,246,255,258,260,399,626],[1,5,6,7,8,9,10,11,12,
35,45,48,55,92,94,95,96,99,101,102,227,236,248,259,399,627],[1,4,6,7,8,9,10,
11,12,36,42,47,51,92,94,95,96,99,101,102,228,237,239,244,399,628],[1,4,6,7,9,
10,11,12,34,43,50,52,54,56,93,94,95,97,100,102,103,104,230,235,238,250,256,
260,263,265,400,629],[1,4,6,7,9,10,11,12,36,39,40,51,93,94,95,97,100,102,103,
104,233,239,249,261,262,400,630],[1,5,6,7,9,10,11,12,35,45,53,55,93,94,95,97,
100,102,103,104,232,236,251,264,266,400,631],[1,4,7,8,10,11,12,40,42,47,51,96,
98,100,101,103,104,242,244,257,261,262,401,632],[1,4,7,8,10,11,12,43,47,52,54,
56,96,98,100,101,103,104,246,252,256,258,263,265,401,633],[1,5,7,8,10,11,12,
44,48,53,55,96,98,100,101,103,104,247,253,259,264,266,401,634],[1,4,7,9,10,11,
12,43,50,52,54,56,97,98,99,100,102,250,252,255,256,260,402,635],[1,4,7,11,40,
43,54,98,105,252,267,403,636],[1,4,7,11,40,42,54,98,105,242,267,403,637],[1,5,
7,11,44,55,98,105,253,268,403,638],[1,4,7,11,12,40,42,56,98,106,242,269,404,
639],[1,5,7,11,44,55,98,107,253,270,406,640],[1,4,8,11,12,40,47,54,56,101,105,
106,257,258,267,269,407,641],[1,5,8,11,12,48,55,101,105,106,259,268,407,642],[
1,5,8,11,12,48,55,101,107,108,259,270,408,643],[1,4,10,11,12,40,52,54,103,105,
106,263,267,409,644],[1,4,10,11,12,40,51,54,56,103,105,106,261,267,269,409,
645],[1,5,10,11,12,53,55,103,105,106,264,268,409,646],[1,5,10,11,53,55,103,
107,108,264,270,410,647],[1,4,10,11,12,40,52,54,104,105,106,265,267,411,648],[
1,4,10,11,12,40,51,54,56,104,105,106,262,267,269,411,649],[1,5,10,11,12,53,55,
104,105,106,266,268,411,650],[1,5,10,11,53,55,104,107,108,266,270,412,651],[1,
5,26,57,86,652],[1,3,7,18,28,41,111,144,653],[1,3,6,16,28,32,111,138,654],[1,
2,3,4,6,14,28,31,33,34,109,111,112,122,179,272,414,415,416,655],[1,3,6,20,28,
33,111,129,179,281,415,656],[1,3,6,17,28,33,111,130,179,280,415,657],[1,3,6,
16,28,110,138,179,274,658],[1,3,8,16,28,37,110,140,180,274,417,659],[1,3,9,16,
28,110,141,181,274,660],[1,2,3,8,13,28,37,46,109,110,152,180,271,417,420,
661],[1,3,8,17,28,37,110,153,180,275,417,662],[1,3,5,8,21,28,37,48,110,111,
113,156,180,276,417,418,422,663],[1,3,4,8,22,28,37,47,110,112,157,180,277,417,
421,664],[1,3,5,8,23,28,37,48,110,113,158,180,278,417,422,665],[1,3,8,24,28,
37,110,159,180,279,417,666],[1,3,8,20,28,37,111,150,180,281,418,667],[1,3,8,
17,28,37,111,153,180,280,418,668],[1,2,3,4,8,14,28,37,46,47,109,111,112,154,
180,272,418,420,421,669],[1,3,8,24,28,37,111,159,180,282,418,670],[1,2,3,4,9,
14,28,38,49,50,109,111,112,160,181,272,419,423,424,671],[1,2,4,5,8,15,28,46,
47,48,109,112,113,169,180,273,420,421,422,672],[1,5,8,27,28,48,113,172,180,
283,422,673],[1,7,8,10,57,96,284,285,286,674],[1,2,3,4,5,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,
76,77,78,79,80,81,82,83,84,85,182,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,205,206,425,426,427,428,429,430,
431,432,434,675],[1,2,3,4,5,13,14,15,18,21,22,23,24,26,27,59,61,62,65,74,80,
81,82,83,84,86,87,88,90,184,188,190,202,203,207,209,428,436,439,676],[1,2,3,4,
5,13,14,15,18,21,22,23,24,26,27,59,61,62,65,74,80,81,82,83,84,87,89,184,188,
190,202,203,208,210,428,437,438,677],[1,3,5,16,18,20,21,23,26,27,68,69,74,76,
79,80,82,83,86,87,88,90,193,194,196,202,206,207,208,209,431,433,436,437,441,
678],[1,3,5,16,18,20,21,23,24,26,27,68,69,74,76,79,80,81,82,83,89,193,194,196,
202,203,206,210,431,438,439,679],[1,3,4,5,17,18,19,21,22,23,24,25,26,27,71,72,
73,74,75,77,80,82,83,84,85,86,87,88,89,90,198,199,200,202,204,207,209,210,211,
212,434,435,436,438,440,680],[1,3,4,5,17,18,19,21,22,23,24,25,26,27,71,72,73,
74,75,77,80,81,82,83,84,85,87,198,199,200,202,203,204,208,434,437,439,681],[1,
2,3,4,6,7,11,13,14,18,29,33,36,39,40,59,94,114,117,131,144,147,233,288,289,
290,477,682],[1,2,3,4,6,7,13,14,18,29,30,31,32,33,34,41,43,59,91,114,115,116,
120,122,124,213,214,217,219,221,292,442,443,445,446,455,683],[1,2,3,4,5,6,7,
14,15,19,23,25,29,30,32,34,39,41,42,43,44,45,66,91,116,119,120,121,164,165,
167,168,213,219,220,221,222,305,443,444,458,459,461,684],[1,2,3,4,6,7,14,20,
24,29,30,32,34,41,43,67,91,116,120,213,219,221,443,457,460,685],[1,2,3,4,6,7,
14,16,19,29,30,33,36,63,91,117,127,134,138,139,213,298,302,303,462,686],[1,2,
3,4,6,7,13,19,20,29,31,32,39,41,42,60,91,115,164,214,219,220,445,457,458,
687],[1,2,3,5,6,7,13,23,24,29,31,32,41,44,45,62,91,115,167,214,219,222,445,
459,460,688],[1,2,3,4,6,7,14,16,19,29,31,33,34,63,91,122,127,128,138,139,214,
302,306,462,689],[1,2,3,4,6,7,11,14,18,22,30,31,33,34,65,94,122,131,132,144,
147,215,304,308,477,690],[1,2,3,4,5,6,7,11,14,15,19,23,25,30,31,33,34,35,36,
39,40,41,42,43,44,45,54,55,66,94,119,120,121,122,123,133,134,137,164,165,166,
167,168,215,231,233,234,235,236,237,305,309,447,448,449,482,483,485,486,691],[
1,3,6,8,9,16,18,20,32,33,37,38,68,92,124,127,129,140,142,145,150,216,223,311,
332,450,463,465,692],[1,2,3,4,6,8,9,13,14,18,29,31,32,33,34,37,38,46,47,49,50,
59,92,114,115,116,122,124,145,152,154,160,216,223,224,225,226,292,351,450,451,
452,466,467,693],[1,3,4,6,8,9,17,18,19,32,33,34,37,38,47,50,71,92,124,128,130,
145,153,155,161,216,223,226,312,352,450,468,469,694],[1,3,5,6,8,9,18,21,32,33,
35,37,38,48,74,92,124,125,131,145,148,156,216,223,227,313,353,450,453,471,
695],[1,2,3,4,6,8,9,14,18,22,29,32,33,34,36,37,38,46,47,50,65,92,116,117,124,
126,132,145,154,157,162,216,223,225,226,228,297,354,450,452,454,470,472,696],[
1,3,5,6,8,9,18,20,23,32,33,35,37,38,48,76,92,124,133,135,145,150,151,158,216,
223,227,314,356,450,473,475,697],[1,3,4,6,8,9,18,19,24,32,33,36,37,38,47,75,
92,124,134,136,145,155,159,163,216,223,228,315,355,450,474,476,698],[1,3,5,6,
7,11,18,21,32,33,35,44,74,94,124,125,131,144,147,231,313,348,477,699],[1,3,5,
6,10,12,18,21,32,33,35,53,74,95,124,125,131,146,149,232,313,358,478,700],[1,2,
3,4,5,6,8,9,13,14,15,21,22,29,31,32,33,34,35,36,37,38,46,47,48,49,50,61,92,
115,117,118,122,123,125,126,152,154,156,157,160,169,216,223,224,225,226,227,
228,296,372,451,453,454,466,470,479,480,701],[1,2,3,4,5,6,8,9,13,14,15,21,22,
29,32,33,34,35,37,38,46,47,48,50,61,92,114,116,118,125,132,152,154,156,157,
162,169,216,223,225,226,227,294,372,452,453,467,472,480,702],[1,3,5,6,8,9,16,
21,23,32,33,35,37,38,48,69,92,125,127,133,140,142,156,158,216,223,227,316,338,
453,463,473,703],[1,3,4,5,6,8,9,19,21,22,25,32,33,34,35,36,37,38,47,48,50,77,
92,125,126,128,134,137,155,156,157,161,170,216,223,226,227,228,317,377,453,
454,468,474,481,704],[1,3,5,6,8,9,17,21,24,32,33,35,37,38,48,72,92,125,130,
136,153,156,159,163,216,223,227,318,374,453,469,476,705],[1,3,5,6,8,9,20,21,
32,33,35,37,38,48,79,92,125,129,135,150,151,156,216,223,227,319,369,453,465,
475,706],[1,3,4,6,7,18,19,24,32,33,39,41,42,75,91,124,164,217,219,220,455,458,
460,707],[1,3,5,6,7,18,20,23,32,33,41,44,45,76,91,124,167,217,219,222,455,457,
459,708],[1,3,5,6,7,16,21,23,32,33,35,69,91,125,127,133,138,139,217,316,330,
462,709],[1,3,5,6,9,10,16,21,23,32,33,35,38,69,93,125,127,133,141,143,218,316,
341,464,710],[1,3,6,7,16,18,20,32,33,41,68,91,124,127,129,138,139,219,311,329,
334,462,711],[1,2,3,6,7,13,16,17,29,31,33,58,91,114,127,130,138,139,214,287,
328,462,712],[1,3,6,7,16,18,20,32,33,68,91,127,131,135,138,139,217,320,329,
462,713],[1,3,4,6,7,16,22,24,33,34,43,70,91,127,132,136,138,139,221,321,331,
335,462,714],[1,2,3,4,6,8,9,14,16,19,31,33,34,37,38,46,47,49,50,63,92,122,127,
128,140,142,154,155,160,161,223,224,226,306,337,343,463,466,468,715],[1,2,3,6,
8,9,13,16,17,29,33,37,38,46,58,92,114,127,130,140,142,152,153,223,225,287,336,
463,467,469,716],[1,2,3,4,6,8,9,14,16,19,29,33,36,37,38,46,47,63,92,117,127,
134,140,142,154,155,223,225,228,298,337,463,470,474,717],[1,3,6,8,9,16,18,20,
33,37,38,68,92,127,131,135,140,142,145,148,150,151,223,320,332,333,463,471,
475,718],[1,3,4,6,8,9,16,22,24,33,34,37,38,47,50,70,92,127,132,136,140,142,
157,159,162,163,223,226,321,339,344,463,472,476,719],[1,2,3,6,9,10,13,16,17,
29,33,49,58,93,114,127,130,141,143,229,287,340,464,720],[1,3,4,6,9,10,16,22,
24,33,34,50,52,70,93,127,132,136,141,143,230,321,342,345,464,721],[1,2,3,4,6,
8,9,14,17,20,31,33,34,37,38,46,47,49,50,64,92,122,129,130,150,153,154,160,223,
224,226,307,366,465,466,469,722],[1,2,3,4,6,8,9,13,19,20,29,33,34,37,38,46,47,
50,60,92,114,128,129,150,152,155,161,223,225,226,293,365,465,467,468,723],[1,
2,3,4,6,8,9,14,20,24,29,33,36,37,38,46,47,67,92,117,129,136,150,154,159,163,
223,225,228,301,367,465,470,476,724],[1,3,5,6,8,9,18,20,23,33,35,37,38,48,76,
92,129,131,133,145,148,150,158,223,227,324,356,465,471,473,725],[1,3,4,6,8,9,
19,20,22,33,34,36,37,38,47,50,78,92,129,132,134,150,155,157,162,223,226,228,
325,368,465,472,474,726],[1,2,3,4,6,8,9,14,18,22,31,33,34,37,38,46,47,49,50,
65,92,122,131,132,145,148,154,157,160,162,223,224,226,308,354,362,466,471,472,
727],[1,2,3,4,5,6,8,9,14,15,19,23,25,31,33,34,35,36,37,38,46,47,48,49,50,66,
92,122,123,133,134,137,154,155,158,160,169,170,223,224,226,227,228,309,376,
466,473,474,479,481,728],[1,2,3,4,6,8,9,14,20,24,31,33,34,37,38,46,47,49,50,
67,92,122,135,136,150,151,154,159,160,163,223,224,226,310,367,370,466,475,476,
729],[1,2,3,4,6,8,9,13,14,18,29,33,36,37,38,46,47,59,92,114,117,131,145,148,
152,154,223,225,228,289,351,467,470,471,730],[1,2,3,5,6,8,9,13,23,24,29,33,35,
37,38,46,48,62,92,114,133,136,152,158,159,163,223,225,227,295,373,467,473,476,
731],[1,2,3,4,6,8,9,13,19,20,29,33,36,37,38,46,47,60,92,114,134,135,150,151,
152,155,223,225,228,291,365,467,474,475,732],[1,2,3,4,5,6,8,9,14,15,19,23,25,
29,33,34,35,36,37,38,46,47,48,50,66,92,117,118,128,133,137,154,155,158,161,
169,170,223,225,226,227,228,299,376,468,470,473,480,481,733],[1,3,4,6,8,9,18,
19,24,33,34,37,38,47,50,75,92,128,131,136,145,148,155,159,161,163,223,226,322,
355,363,468,471,476,734],[1,3,4,6,8,9,19,20,22,33,34,37,38,47,50,78,92,128,
132,135,150,151,155,157,161,162,223,226,323,368,371,468,472,475,735],[1,2,3,4,
6,8,9,14,17,20,29,33,36,37,38,46,47,64,92,117,130,135,150,151,153,154,223,225,
228,300,366,469,470,475,736],[1,3,4,6,8,9,17,18,19,33,36,37,38,47,71,92,130,
131,134,145,148,153,155,223,228,326,352,469,471,474,737],[1,3,4,5,6,8,9,17,22,
23,33,34,35,37,38,47,48,50,73,92,130,132,133,153,157,158,162,223,226,227,327,
375,469,472,473,738],[1,3,6,7,11,16,18,20,33,41,68,94,127,131,135,144,147,234,
320,346,477,739],[1,3,4,6,7,11,18,19,24,33,34,43,54,75,94,128,131,136,144,147,
235,322,349,360,477,740],[1,3,5,6,7,11,18,20,23,33,35,45,55,76,94,129,131,133,
144,147,236,324,350,361,477,741],[1,3,4,6,7,11,17,18,19,33,36,42,71,94,130,
131,134,144,147,237,326,347,477,742],[1,3,4,6,10,12,18,19,24,33,34,52,56,75,
95,128,131,136,146,149,238,322,359,364,478,743],[1,3,4,6,10,12,17,18,19,33,36,
51,71,95,130,131,134,146,149,239,326,357,478,744],[1,3,6,8,9,16,18,20,32,37,
68,92,138,140,141,145,150,216,329,332,487,745],[1,3,6,9,10,16,18,20,32,38,68,
93,138,142,143,148,151,218,329,333,488,746],[1,2,3,6,8,9,13,16,17,31,37,46,49,
58,92,138,140,141,152,153,224,328,336,340,487,747],[1,2,3,4,6,8,9,14,16,19,29,
37,46,47,63,92,138,140,141,154,155,225,302,337,487,748],[1,3,5,6,8,9,16,21,23,
33,37,38,48,69,92,138,140,141,156,158,223,330,338,341,487,749],[1,3,4,6,8,9,
16,22,24,34,37,47,50,70,92,138,140,141,157,159,226,331,339,342,487,750],[1,2,
3,4,6,9,10,14,16,19,29,38,49,50,63,93,138,142,143,160,161,229,302,343,488,
751],[1,3,4,6,9,10,16,22,24,34,38,50,52,70,93,138,142,143,162,163,230,331,344,
345,488,752],[1,3,7,8,10,16,18,20,37,41,68,96,139,140,143,145,150,240,332,334,
489,753],[1,2,3,4,7,8,10,14,16,19,30,37,46,47,63,96,139,140,143,154,155,245,
303,337,489,754],[1,3,4,7,8,10,16,22,24,37,43,47,52,70,96,139,140,143,157,159,
246,335,339,345,489,755],[1,3,4,7,9,10,16,22,24,38,43,50,52,70,97,139,141,142,
143,162,163,250,335,342,344,345,490,756],[1,3,7,8,10,16,18,20,37,41,68,96,140,
144,145,146,150,240,332,346,491,757],[1,3,7,9,12,16,18,20,38,41,68,99,142,144,
148,149,151,241,333,346,492,758],[1,2,3,4,7,8,10,13,14,18,37,39,46,47,59,96,
144,145,146,152,154,243,288,351,491,759],[1,3,4,7,8,10,17,18,19,37,42,47,51,
71,96,144,145,146,153,155,244,347,352,357,491,760],[1,3,5,7,8,10,18,21,37,44,
48,53,74,96,144,145,146,156,247,348,353,358,491,761],[1,2,3,4,7,8,10,14,18,22,
30,37,46,47,65,96,144,145,146,154,157,245,304,354,491,762],[1,3,4,7,8,10,18,
19,24,37,43,47,52,75,96,144,145,146,155,159,246,349,355,359,491,763],[1,3,5,7,
8,10,18,20,23,37,45,48,76,96,144,145,146,150,158,248,350,356,491,764],[1,2,3,
4,7,9,12,14,18,22,30,38,49,50,65,99,144,148,149,160,162,254,304,362,492,765],[
1,3,4,7,9,12,18,19,24,38,43,50,56,75,99,144,148,149,161,163,255,349,363,364,
492,766],[1,2,3,4,8,11,12,13,14,18,37,40,46,47,59,101,145,147,149,152,154,257,
290,351,493,767],[1,3,4,8,11,12,18,19,24,37,47,54,56,75,101,145,147,149,155,
159,258,355,360,364,493,768],[1,3,5,8,11,12,18,20,23,37,48,55,76,101,145,147,
149,150,158,259,356,361,493,769],[1,3,4,9,10,11,12,18,19,24,38,50,52,54,56,75,
102,146,147,148,149,161,163,260,359,360,363,364,494,770],[1,2,3,4,5,7,8,10,14,
15,19,23,25,30,37,39,41,42,43,44,45,46,47,48,51,52,53,66,96,119,120,121,154,
155,158,164,165,167,168,169,170,173,240,243,244,245,246,247,248,305,376,495,
496,497,500,501,502,503,771],[1,3,5,7,8,10,21,26,27,37,41,48,83,96,156,171,
172,174,175,240,381,389,506,772],[1,5,7,8,10,26,44,48,53,86,96,171,174,175,
247,384,390,392,506,773],[1,5,7,8,10,26,27,45,48,88,96,171,172,174,175,248,
386,391,506,774],[1,5,7,8,10,27,44,48,53,90,96,172,247,388,393,394,395,775],[
1,4,5,11,25,27,40,54,55,85,105,166,267,268,509,510,776],[1,5,11,27,55,89,105,
268,510,777],[1,5,11,27,55,90,105,268,510,778],[1,2,3,4,5,13,14,15,16,17,21,
22,23,24,28,58,61,62,69,70,72,73,109,110,111,112,113,183,271,272,273,274,275,
276,277,278,279,511,512,513,516,517,518,519,779],[1,2,3,4,5,13,14,15,17,20,21,
22,24,28,61,64,67,72,79,109,110,111,112,113,189,271,272,273,276,277,280,281,
282,512,514,515,520,523,780],[1,2,3,4,5,13,14,15,21,22,24,27,28,61,81,82,109,
110,111,112,113,190,271,272,273,276,277,282,283,512,521,522,781],[1,3,5,16,20,
21,23,27,28,69,79,82,110,111,113,196,274,276,278,281,283,516,521,523,782],[1,
3,5,16,17,21,23,24,28,69,72,81,110,111,113,197,274,276,278,280,282,516,520,
522,783],[1,3,5,17,21,24,27,28,72,82,110,111,113,200,275,276,279,280,282,283,
518,520,521,784],[1,3,5,17,20,21,24,28,72,79,81,110,111,113,201,275,276,279,
281,282,518,522,523,785],[1,6,7,8,9,10,11,12,91,92,93,94,95,96,97,98,99,100,
101,102,103,104,396,397,398,399,400,401,402,786],[1,6,7,11,91,94,98,105,107,
397,403,406,787],[1,6,7,11,12,91,94,98,106,108,397,404,405,788],[1,7,8,10,11,
12,96,98,100,101,103,104,105,106,401,403,404,407,409,411,789],[1,7,8,10,11,12,
96,98,100,101,103,104,107,108,401,405,406,408,410,412,790],[1,7,9,10,11,12,97,
98,99,100,102,105,108,402,403,405,791],[1,7,9,10,11,12,97,98,99,100,102,106,
107,108,402,404,405,406,792],[1,2,4,5,7,15,30,39,44,57,119,176,177,178,284,
413,524,525,526,793],[1,2,4,5,8,15,46,47,48,57,169,176,177,178,285,413,527,
528,529,794],[1,2,6,8,9,28,31,46,49,92,109,179,180,181,224,414,420,423,531,
795],[1,3,6,8,9,28,33,37,38,92,111,179,180,181,223,415,418,419,531,796],[1,4,
6,8,9,28,34,47,50,92,112,179,180,181,226,416,421,424,531,797],[1,2,3,4,5,6,13,
14,15,16,17,18,19,20,21,22,23,24,25,29,31,32,33,34,35,36,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,114,115,116,117,118,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,136,137,182,183,184,185,186,187,
189,191,192,193,198,287,289,291,292,293,294,295,296,297,298,299,300,301,306,
307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,
326,327,425,532,533,534,538,539,541,542,544,545,546,547,553,554,555,556,798],[
1,2,3,4,5,6,13,14,15,16,17,19,21,22,23,24,25,26,29,33,58,61,62,63,66,69,70,72,
73,77,80,81,84,114,127,130,138,183,187,188,194,195,197,199,287,302,330,426,
543,559,562,799],[1,2,3,4,5,7,13,14,15,16,17,18,19,20,21,22,23,24,25,30,39,41,
42,43,44,45,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
119,120,121,144,164,165,167,168,182,183,184,185,186,187,189,191,192,193,198,
288,304,305,346,347,348,349,350,425,535,536,537,551,552,578,579,800],[1,2,3,4,
5,6,13,14,15,16,17,18,19,20,21,22,23,24,25,29,31,32,33,34,58,59,60,61,62,63,
64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,114,115,116,122,124,138,182,
183,184,185,186,187,189,191,192,193,198,292,302,328,329,330,331,425,543,548,
549,557,558,801],[1,2,3,4,5,6,13,14,15,16,19,20,21,22,23,24,25,27,29,33,34,60,
61,63,66,69,70,77,78,79,81,82,84,85,114,128,129,138,186,187,190,195,196,204,
205,293,302,330,331,429,543,560,561,802],[1,2,3,4,5,6,13,14,15,16,17,19,21,22,
23,24,25,26,31,33,34,58,61,62,63,66,69,70,72,73,77,80,81,84,122,127,128,138,
183,187,188,194,195,197,199,306,328,330,331,426,557,559,560,803],[1,2,3,4,5,6,
13,14,15,16,17,20,21,22,23,24,27,31,33,34,58,61,62,64,67,69,70,72,73,79,81,82,
122,129,130,138,183,189,190,196,197,200,201,307,328,330,331,427,557,561,562,
804],[1,3,5,6,16,18,20,21,23,26,27,32,33,68,69,74,76,79,80,82,83,124,127,129,
138,193,194,196,202,206,311,329,330,431,558,559,561,805],[1,3,4,5,6,16,17,18,
19,20,21,22,23,24,25,32,33,34,68,69,70,71,72,74,75,76,77,79,81,84,124,128,130,
138,193,195,197,198,201,203,205,312,329,330,331,432,558,560,562,806],[1,2,3,4,
5,8,13,14,15,16,17,18,19,20,21,22,23,24,25,37,46,47,48,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,140,145,150,152,153,154,155,156,
157,158,159,169,170,182,183,184,185,186,187,189,191,192,193,198,332,336,337,
338,339,351,352,353,354,355,356,365,366,367,368,369,372,373,374,375,376,377,
425,563,564,565,567,568,580,581,582,583,587,588,807],[1,3,5,8,16,18,20,21,23,
26,27,37,48,68,69,74,76,79,80,82,83,140,145,150,156,158,171,172,193,194,196,
202,206,332,338,353,356,369,378,380,381,431,564,569,571,584,590,808],[1,3,4,5,
8,16,17,18,19,20,21,22,23,24,25,37,47,48,68,69,70,71,72,74,75,76,77,79,81,84,
140,145,150,153,155,156,157,158,159,170,193,195,197,198,201,203,205,332,338,
339,352,353,355,356,369,374,377,379,382,432,564,570,572,582,585,589,591,809],[
1,2,3,4,5,8,13,14,15,16,17,19,21,22,23,24,25,26,37,46,47,48,58,61,62,63,66,69,
70,72,73,77,80,81,84,140,152,153,154,155,156,157,158,159,169,170,171,183,187,
188,194,195,197,199,336,337,338,339,372,373,374,375,376,377,378,379,382,426,
567,568,569,570,572,592,594,810],[1,2,3,4,5,8,13,14,15,16,17,20,21,22,23,24,
27,37,46,47,48,58,61,62,64,67,69,70,72,73,79,81,82,140,150,152,153,154,156,
157,158,159,169,172,183,189,190,196,197,200,201,336,338,339,366,367,369,372,
373,374,375,379,380,427,567,571,572,588,591,593,595,811],[1,2,3,4,5,8,13,14,
15,16,19,20,21,22,23,24,25,27,37,46,47,48,60,61,63,66,69,70,77,78,79,81,82,84,
85,140,150,152,154,155,156,157,158,159,169,170,172,186,187,190,195,196,204,
205,337,338,339,365,368,369,372,376,377,379,380,382,383,429,568,570,571,587,
589,593,596,812],[1,3,5,8,16,21,23,26,27,37,48,69,80,83,86,87,88,140,156,158,
171,172,194,207,208,338,378,381,384,385,386,433,569,597,598,813],[1,2,3,4,5,9,
13,14,15,16,17,19,21,22,23,24,25,26,38,49,50,58,61,62,63,66,69,70,72,73,77,80,
81,84,141,142,160,161,183,187,188,194,195,197,199,340,341,342,343,426,573,574,
575,814],[1,3,5,7,16,18,20,21,23,26,27,41,68,69,74,76,79,80,82,83,139,174,193,
194,196,202,206,334,389,431,576,815],[1,3,5,7,16,21,23,26,27,44,69,80,83,86,
87,88,139,174,194,207,208,390,433,576,816],[1,3,5,7,16,21,23,26,27,45,69,80,
83,86,87,88,139,174,194,207,208,391,433,576,817],[1,3,5,10,16,21,23,26,27,53,
69,80,83,86,87,88,143,175,194,207,208,392,433,577,818],[1,2,3,4,5,8,13,14,15,
18,21,22,23,24,26,27,37,46,47,48,59,61,62,65,74,80,81,82,83,84,145,152,154,
156,157,158,159,169,171,172,184,188,190,202,203,351,353,354,372,373,378,379,
380,381,382,428,580,584,585,592,593,819],[1,3,4,5,8,17,18,19,21,22,23,24,25,
26,27,37,47,48,71,72,73,74,75,77,80,82,83,84,85,145,153,155,156,157,158,159,
170,171,172,198,199,200,202,204,352,353,355,374,375,377,378,380,381,382,383,
434,582,584,594,595,596,820],[1,3,5,8,18,21,23,26,27,37,48,74,80,82,83,86,87,
88,90,145,156,158,171,172,202,207,209,353,378,380,381,384,385,386,388,436,584,
597,599,821],[1,3,5,8,18,21,23,26,27,37,48,74,80,82,83,87,145,156,158,171,172,
202,208,353,378,380,381,385,437,584,598,822],[1,3,5,8,18,21,23,26,27,37,48,74,
80,82,83,89,145,156,158,171,172,202,210,353,378,380,381,387,438,584,600,823],[
1,3,5,8,18,21,23,24,26,27,37,48,74,80,81,82,83,145,156,158,159,171,172,202,
203,353,378,379,380,381,439,584,585,824],[1,3,5,7,18,21,23,26,27,44,74,80,82,
83,86,87,88,90,144,174,202,207,209,348,390,393,436,825],[1,3,5,10,18,21,23,26,
27,53,74,80,82,83,86,87,88,90,146,175,202,207,209,358,392,394,395,436,826],[1,
2,3,4,5,8,13,14,15,17,19,20,21,22,23,24,25,26,37,46,47,48,60,61,62,64,67,72,
73,77,78,79,80,81,84,150,152,153,154,155,156,157,158,159,169,170,171,186,188,
189,199,201,205,206,365,366,367,368,369,372,373,374,375,377,378,379,382,430,
587,588,589,590,591,592,594,827],[1,3,5,8,20,21,23,26,27,37,48,79,80,83,86,87,
88,150,156,158,171,172,206,207,208,369,378,381,384,385,386,441,590,597,598,
828],[1,3,5,8,17,21,24,26,27,37,48,72,82,83,87,88,89,90,153,156,159,171,172,
200,209,210,374,380,381,385,386,387,388,435,595,599,600,829],[1,3,4,5,8,19,21,
22,25,26,27,37,47,48,77,82,83,85,87,88,89,90,155,156,157,170,171,172,204,209,
210,211,212,377,380,381,383,385,386,387,388,440,596,599,600,601,602,830],[1,2,
3,6,7,11,13,29,30,31,32,33,41,91,94,98,114,115,213,214,215,217,219,234,397,
442,445,607,610,831],[1,2,3,4,6,7,11,14,29,30,31,32,33,34,41,43,54,91,94,98,
116,120,122,213,214,215,217,219,221,234,235,252,397,443,446,448,607,610,618,
832],[1,2,4,5,6,7,11,15,29,30,31,35,36,39,40,42,44,45,55,91,94,98,119,121,123,
213,214,215,220,222,231,233,236,237,242,253,397,444,447,449,607,612,619,833],[
1,2,3,6,7,8,9,10,13,29,30,31,32,33,37,38,46,49,91,92,93,96,97,114,115,152,213,
214,216,217,218,223,224,225,229,245,396,442,451,467,608,613,615,834],[1,3,6,7,
8,9,10,18,32,33,37,38,41,91,92,93,96,97,124,145,216,217,218,219,223,240,396,
450,455,608,609,835],[1,2,3,4,6,7,8,9,10,14,29,31,32,33,34,37,38,43,46,47,49,
50,52,91,92,93,96,97,116,122,154,160,214,216,217,218,221,223,224,225,226,229,
230,246,250,396,446,452,456,466,608,613,616,836],[1,3,6,7,8,9,10,20,32,37,41,
91,92,93,96,97,150,216,219,240,396,457,609,837],[1,3,6,7,11,20,32,33,41,91,94,
98,135,217,219,234,397,457,610,838],[1,3,6,7,9,10,12,20,32,38,41,91,93,95,99,
100,151,218,219,241,398,457,611,839],[1,3,4,6,7,11,19,32,33,36,39,40,41,42,91,
94,98,134,164,217,219,220,233,234,237,242,397,458,485,610,612,840],[1,2,3,6,7,
8,9,10,13,29,31,32,37,41,46,49,91,92,93,96,97,115,152,214,216,219,224,225,229,
240,396,445,451,609,613,841],[1,3,4,6,7,8,9,10,19,32,37,39,41,42,47,51,91,92,
93,96,97,155,164,216,219,220,240,243,244,249,396,458,495,609,614,842],[1,2,3,
4,6,7,8,9,10,14,29,30,32,34,37,41,43,46,47,50,52,91,92,93,96,97,116,120,154,
213,216,219,221,225,226,230,240,245,246,250,396,443,452,496,609,615,616,843],[
1,3,5,6,7,8,9,10,23,32,37,41,44,45,48,53,91,92,93,96,97,158,167,216,219,222,
240,247,248,251,396,459,497,609,617,844],[1,3,6,7,8,9,10,24,32,37,41,91,92,93,
96,97,159,216,219,240,396,460,609,845],[1,3,6,7,11,18,32,33,41,91,94,98,124,
217,219,234,397,455,610,846],[1,3,5,6,7,11,23,32,33,35,41,44,45,55,91,94,98,
133,167,217,219,222,231,234,236,253,397,459,482,610,619,847],[1,3,6,7,11,24,
32,33,41,91,94,98,136,217,219,234,397,460,610,848],[1,2,3,4,6,7,9,10,12,14,29,
30,32,34,38,41,43,49,50,52,56,91,93,95,99,100,116,120,160,213,218,219,221,229,
230,238,241,254,255,256,398,443,456,498,611,620,621,849],[1,3,6,7,9,10,12,24,
32,38,41,91,93,95,99,100,163,218,219,241,398,460,611,850],[1,4,5,6,7,11,25,34,
35,36,39,40,42,43,44,45,54,55,91,94,98,137,165,166,168,220,221,222,231,233,
235,236,237,242,252,253,397,461,483,486,499,612,618,619,851],[1,2,4,5,6,7,8,9,
10,15,29,30,39,42,44,45,46,47,48,51,53,91,92,93,96,97,119,121,169,213,220,222,
225,243,244,245,247,248,249,251,396,444,500,502,614,615,617,852],[1,4,5,6,7,8,
9,10,25,34,39,42,43,44,45,47,48,50,51,52,53,91,92,93,96,97,165,168,170,173,
220,221,222,226,230,243,244,246,247,248,249,250,251,396,461,501,503,504,614,
616,617,853],[1,3,6,7,8,9,10,16,33,37,38,91,92,93,96,97,127,138,139,140,141,
142,143,223,396,462,463,464,487,488,489,490,854],[1,3,6,7,8,9,10,11,12,18,33,
37,38,92,94,95,96,99,101,102,131,144,145,146,147,148,149,223,399,471,477,478,
491,492,493,494,855],[1,2,4,5,6,7,8,9,10,11,12,15,30,31,35,36,39,40,44,46,47,
48,49,53,92,94,95,96,99,101,102,119,123,169,215,224,227,228,231,232,233,243,
245,247,254,257,399,447,479,500,622,623,624,856],[1,2,3,4,6,7,8,9,10,11,12,14,
30,31,33,34,37,38,41,43,46,47,49,50,52,54,56,92,94,95,96,99,101,102,120,122,
154,160,215,223,224,226,234,235,238,240,241,245,246,254,255,258,260,399,448,
466,496,498,622,625,626,857],[1,2,4,5,6,7,8,9,10,11,12,15,30,31,35,36,42,45,
46,47,48,49,51,55,92,94,95,96,99,101,102,121,123,169,215,224,227,228,236,237,
239,244,245,248,254,259,399,449,479,502,622,627,628,858],[1,3,5,6,7,8,9,10,11,
12,23,33,35,37,38,41,44,45,48,53,55,92,94,95,96,99,101,102,133,158,167,223,
227,231,232,234,236,240,241,247,248,259,399,473,482,497,623,625,627,859],[1,4,
5,6,7,8,9,10,11,12,25,34,35,36,42,43,44,47,48,50,51,52,53,54,56,92,94,95,96,
99,101,102,137,168,170,173,226,227,228,231,232,235,237,238,239,244,246,247,
255,258,260,399,481,483,484,503,623,626,628,860],[1,3,4,6,7,8,9,10,11,12,19,
33,36,37,38,39,40,41,42,47,51,92,94,95,96,99,101,102,134,155,164,223,228,233,
234,237,239,240,241,243,244,257,399,474,485,495,624,625,628,861],[1,4,5,6,7,8,
9,10,11,12,25,34,35,36,39,40,43,45,47,48,50,52,54,55,56,92,94,95,96,99,101,
102,137,165,166,170,226,227,228,233,235,236,238,243,246,248,255,257,258,259,
260,399,481,486,501,505,624,626,627,862],[1,4,5,6,7,9,10,11,12,25,34,35,36,39,
40,43,45,50,51,52,53,54,55,56,93,94,95,97,100,102,103,104,137,165,166,173,230,
232,233,235,236,238,239,249,250,251,256,260,261,262,263,264,265,266,400,484,
486,504,507,508,629,630,631,863],[1,4,5,7,8,10,11,12,25,40,42,43,44,47,48,51,
52,53,54,55,56,96,98,100,101,103,104,166,168,170,173,242,244,246,247,252,253,
256,257,258,259,261,262,263,264,265,266,401,499,503,505,507,508,632,633,634,
864],[1,4,5,7,11,25,40,42,43,44,54,55,98,105,166,168,242,252,253,267,268,403,
499,509,636,637,638,865],[1,4,5,8,11,12,25,40,47,48,54,55,56,101,105,106,166,
170,257,258,259,267,268,269,407,505,509,641,642,866],[1,5,8,11,12,27,48,55,
101,105,106,172,259,268,407,510,642,867],[1,4,5,10,11,12,25,40,51,52,53,54,55,
56,103,105,106,166,173,261,263,264,267,268,269,409,507,509,644,645,646,868],[
1,4,5,10,11,12,25,40,51,52,53,54,55,56,104,105,106,166,173,262,265,266,267,
268,269,411,508,509,648,649,650,869],[1,2,3,4,7,14,18,22,28,30,41,43,65,109,
111,112,120,144,272,304,653,870],[1,3,4,7,17,18,19,28,39,41,42,71,111,144,164,
280,347,653,871],[1,3,5,7,18,20,23,28,41,44,45,76,111,144,167,281,350,653,
872],[1,2,3,6,13,16,17,28,29,31,32,58,111,115,138,280,328,654,873],[1,3,6,16,
18,20,28,32,33,68,111,124,138,281,329,654,874],[1,2,3,4,6,14,16,19,28,29,32,
34,63,109,111,112,116,138,272,302,654,875],[1,3,5,6,16,21,23,28,32,33,35,69,
110,111,113,125,138,276,330,654,876],[1,3,4,6,16,22,24,28,32,34,36,70,111,126,
138,282,331,654,877],[1,2,3,4,6,14,17,20,28,31,33,34,64,109,111,112,122,129,
130,179,272,280,281,307,414,415,416,514,655,656,657,878],[1,2,3,6,13,16,17,28,
31,58,109,110,138,179,271,274,275,328,414,511,658,879],[1,3,5,6,16,21,23,28,
33,69,110,111,113,138,179,274,276,278,330,415,516,658,880],[1,3,4,6,16,22,24,
28,34,70,110,112,138,179,274,277,279,331,416,517,658,881],[1,2,3,8,13,16,17,
28,37,46,58,109,110,140,152,153,180,271,274,275,336,417,420,511,659,661,662,
882],[1,3,5,8,16,21,23,28,37,48,69,110,111,113,140,156,158,180,274,276,278,
338,417,418,422,516,659,663,665,883],[1,3,4,8,16,22,24,28,37,47,70,110,112,
140,157,159,180,274,277,279,339,417,421,517,659,664,666,884],[1,2,3,9,13,16,
17,28,49,58,109,110,141,181,271,274,275,340,423,511,660,885],[1,3,5,9,16,21,
23,28,38,69,110,111,113,141,181,274,276,278,341,419,516,660,886],[1,3,4,9,16,
22,24,28,50,70,110,112,141,181,274,277,279,342,424,517,660,887],[1,2,3,4,5,8,
13,14,15,21,22,28,37,46,47,48,61,109,110,111,112,113,152,154,156,157,169,180,
271,272,273,276,277,372,417,418,420,421,422,512,661,663,664,669,672,888],[1,2,
3,5,8,13,23,24,28,37,46,48,62,109,110,113,152,158,159,180,271,278,279,373,417,
420,422,513,661,665,666,889],[1,3,5,8,17,21,24,28,37,48,72,110,111,113,153,
156,159,180,275,276,279,374,417,418,422,518,662,663,666,890],[1,3,4,5,8,17,22,
23,28,37,47,48,73,110,112,113,153,157,158,180,275,277,278,375,417,421,422,519,
662,664,665,891],[1,3,5,8,17,21,24,28,37,48,72,110,111,113,153,156,159,180,
276,280,282,374,417,418,422,520,663,668,670,892],[1,3,5,8,21,27,28,37,48,82,
110,111,113,156,172,180,276,283,380,417,418,422,521,663,673,893],[1,3,5,8,21,
24,28,37,48,81,110,111,113,156,159,180,276,282,379,417,418,422,522,663,670,
894],[1,3,5,8,20,21,28,37,48,79,110,111,113,150,156,180,276,281,369,417,418,
422,523,663,667,895],[1,2,3,4,8,14,17,20,28,37,46,47,64,109,111,112,150,153,
154,180,272,280,281,366,418,420,421,514,667,668,669,896],[1,2,3,4,8,14,20,24,
28,37,46,47,67,109,111,112,150,154,159,180,272,281,282,367,418,420,421,515,
667,669,670,897],[1,4,7,8,10,39,47,57,96,177,243,284,285,286,525,527,674,
898],[1,2,7,8,10,30,46,57,96,176,245,284,285,286,524,528,674,899],[1,5,7,8,10,
44,48,53,57,96,178,247,284,285,286,526,529,530,674,900],[1,2,3,4,5,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,58,59,60,61,62,63,64,65,66,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,207,208,209,210,211,212,425,426,427,428,429,430,431,432,433,434,435,436,
437,438,439,440,441,675,676,677,678,679,680,681,901],[1,2,3,4,6,7,11,13,14,16,
17,18,19,20,29,33,36,39,40,41,42,58,59,60,63,64,68,71,94,114,117,127,130,131,
134,135,144,147,164,182,233,234,237,287,288,289,290,291,298,300,320,326,346,
347,477,485,532,535,682,739,742,902],[1,2,3,4,5,6,7,11,13,14,15,18,21,22,29,
30,31,32,33,34,35,36,39,40,44,59,61,65,74,94,114,115,116,117,118,119,122,123,
124,125,126,131,132,144,147,184,215,231,233,288,289,290,292,294,296,297,304,
308,313,348,447,477,536,538,682,690,699,903],[1,2,3,4,5,6,7,11,13,14,15,18,19,
20,23,24,25,29,33,34,35,36,39,40,43,45,54,55,59,60,62,66,67,75,76,94,114,117,
118,128,129,131,133,136,137,144,147,165,166,185,233,235,236,288,289,290,293,
295,299,301,322,324,349,350,360,361,477,486,537,539,540,682,740,741,904],[1,2,
3,4,5,6,7,13,14,15,18,19,20,23,24,25,29,30,31,32,33,34,39,41,42,43,44,45,59,
60,62,66,67,75,76,91,114,115,116,119,120,121,122,124,164,165,167,168,185,213,
214,217,219,220,221,222,292,305,442,443,444,445,446,455,457,458,459,460,461,
683,684,685,687,688,707,708,905],[1,2,3,4,5,6,7,13,14,15,16,19,21,22,23,25,29,
30,31,32,33,34,35,36,61,63,66,69,77,91,114,115,117,118,122,123,125,126,127,
128,133,134,137,138,139,187,213,214,217,296,298,299,302,303,306,309,316,317,
330,442,462,543,544,686,689,709,906],[1,2,3,4,6,7,13,14,16,17,18,19,20,29,30,
31,32,33,36,58,59,60,63,64,68,71,91,114,115,117,127,130,131,134,135,138,139,
182,213,214,217,287,289,291,298,300,302,303,320,326,328,329,442,462,532,548,
686,712,713,907],[1,2,3,4,6,7,14,16,18,19,20,22,24,29,30,32,33,34,36,41,43,63,
65,67,68,70,75,78,91,116,117,120,124,126,127,129,132,134,136,138,139,191,213,
219,221,297,298,301,302,303,311,315,321,325,329,331,334,335,443,462,546,549,
550,686,711,714,908],[1,2,3,4,6,7,13,14,16,17,18,19,20,29,31,32,33,34,41,58,
59,60,63,64,68,71,91,114,115,116,122,124,127,128,129,130,138,139,182,214,219,
287,292,293,302,306,307,311,312,328,329,334,445,462,533,548,689,711,712,909],[
1,2,3,4,6,7,14,16,18,19,20,22,24,29,31,32,33,34,43,63,65,67,68,70,75,78,91,
116,122,127,128,131,132,135,136,138,139,191,214,217,221,302,306,308,310,320,
321,322,323,329,331,335,446,462,549,553,689,713,714,910],[1,2,3,4,6,7,11,14,
16,18,19,20,22,24,30,31,33,34,41,43,54,63,65,67,68,70,75,78,94,120,122,127,
128,131,132,135,136,144,147,191,215,234,235,304,306,308,310,320,321,322,323,
346,349,360,448,477,551,553,690,739,740,911],[1,2,3,4,5,6,7,11,14,15,17,18,19,
20,22,23,25,30,31,33,34,35,36,42,45,55,64,65,66,71,73,76,78,94,121,122,123,
129,130,131,132,133,134,137,144,147,192,215,236,237,304,307,308,309,324,325,
326,327,347,350,361,449,477,552,554,690,741,742,912],[1,2,3,4,6,8,9,13,14,16,
17,18,19,20,29,31,32,33,34,37,38,46,47,49,50,58,59,60,63,64,68,71,92,114,115,
116,122,124,127,128,129,130,140,142,145,150,152,153,154,155,160,161,182,216,
223,224,225,226,287,292,293,306,307,311,312,332,336,337,343,351,352,365,366,
450,451,452,463,465,466,467,468,469,533,563,692,693,694,715,716,722,723,913],[
1,3,5,6,8,9,16,18,20,21,23,32,33,35,37,38,48,68,69,74,76,79,92,124,125,127,
129,131,133,135,140,142,145,148,150,151,156,158,193,216,223,227,311,313,314,
316,319,320,324,332,333,338,353,356,369,450,453,463,465,471,473,475,555,564,
692,695,697,703,706,718,725,914],[1,2,3,4,6,8,9,14,16,18,19,20,22,24,29,32,33,
34,36,37,38,46,47,50,63,65,67,68,70,75,78,92,116,117,124,126,127,129,132,134,
136,140,142,145,150,154,155,157,159,162,163,191,216,223,225,226,228,297,298,
301,311,315,321,325,332,337,339,344,354,355,367,368,450,452,454,463,465,470,
472,474,476,546,565,692,696,698,717,719,724,726,915],[1,2,3,4,5,6,8,9,13,14,
15,18,21,22,29,31,32,33,34,35,36,37,38,46,47,48,49,50,59,61,65,74,92,114,115,
116,117,118,122,123,124,125,126,131,132,145,148,152,154,156,157,160,162,169,
184,216,223,224,225,226,227,228,289,292,294,296,297,308,313,351,353,354,362,
372,450,451,452,453,454,466,467,470,471,472,479,480,538,580,693,695,696,701,
702,727,730,916],[1,2,3,4,5,6,8,9,13,14,15,18,19,20,23,24,25,29,31,32,33,34,
35,36,37,38,46,47,48,49,50,59,60,62,66,67,75,76,92,114,115,116,122,123,124,
133,134,135,136,137,145,150,151,152,154,155,158,159,160,163,169,170,185,216,
223,224,225,226,227,228,291,292,295,309,310,314,315,351,355,356,365,367,370,
373,376,450,451,452,466,467,473,474,475,476,479,481,541,581,693,697,698,728,
729,731,732,917],[1,3,4,5,6,8,9,17,18,19,21,22,24,25,32,33,34,35,36,37,38,47,
48,50,71,72,74,75,77,92,124,125,126,128,130,131,134,136,137,145,148,153,155,
156,157,159,161,163,170,198,216,223,226,227,228,312,313,315,317,318,322,326,
352,353,355,363,374,377,450,453,454,468,469,471,474,476,481,556,582,694,695,
698,704,705,734,737,918],[1,2,3,4,5,6,8,9,14,15,17,18,19,20,22,23,25,29,32,33,
34,35,36,37,38,46,47,48,50,64,65,66,71,73,76,78,92,116,117,118,124,126,128,
130,132,133,135,137,145,150,151,153,154,155,157,158,161,162,169,170,192,216,
223,225,226,227,228,297,299,300,312,314,323,327,352,354,356,366,368,371,375,
376,450,452,454,468,469,470,472,473,475,480,481,547,583,694,696,697,733,735,
736,738,919],[1,3,5,6,7,11,16,18,20,21,23,32,33,35,41,44,45,55,68,69,74,76,79,
94,124,125,127,129,131,133,135,144,147,167,193,231,234,236,311,313,314,316,
319,320,324,346,348,350,361,477,482,555,578,699,739,741,920],[1,3,4,5,6,7,11,
17,18,19,21,22,24,25,32,33,34,35,36,42,43,44,54,71,72,74,75,77,94,124,125,126,
128,130,131,134,136,137,144,147,168,198,231,235,237,312,313,315,317,318,322,
326,347,348,349,360,477,483,556,579,699,740,742,921],[1,3,4,5,6,10,12,17,18,
19,21,22,24,25,32,33,34,35,36,51,52,53,56,71,72,74,75,77,95,124,125,126,128,
130,131,134,136,137,146,149,173,198,232,238,239,312,313,315,317,318,322,326,
357,358,359,364,478,484,556,586,700,743,744,922],[1,2,3,4,5,6,8,9,13,14,15,16,
19,21,22,23,25,29,31,32,33,34,35,36,37,38,46,47,48,49,50,61,63,66,69,77,92,
115,117,118,122,123,125,126,127,128,133,134,137,140,142,152,154,155,156,157,
158,160,161,169,170,187,216,223,224,225,226,227,228,296,298,299,306,309,316,
317,337,338,343,372,376,377,451,453,454,463,466,468,470,473,474,479,480,481,
544,568,701,703,704,715,717,728,733,923],[1,2,3,4,5,6,8,9,13,14,15,17,20,21,
22,24,29,31,32,33,34,35,36,37,38,46,47,48,49,50,61,64,67,72,79,92,115,117,118,
122,123,125,126,129,130,135,136,150,151,152,153,154,156,157,159,160,163,169,
189,216,223,224,225,226,227,228,296,300,301,307,310,318,319,366,367,369,370,
372,374,451,453,454,465,466,469,470,475,476,479,480,545,588,701,705,706,722,
724,729,736,924],[1,2,3,4,5,6,8,9,13,14,15,16,17,21,22,23,24,29,32,33,34,35,
37,38,46,47,48,50,58,61,62,69,70,72,73,92,114,116,118,125,127,130,132,133,136,
140,142,152,153,154,156,157,158,159,162,163,169,183,216,223,225,226,227,287,
294,295,316,318,321,327,336,338,339,344,372,373,374,375,452,453,463,467,469,
472,473,476,480,534,567,702,703,705,716,719,731,738,925],[1,2,3,4,5,6,8,9,13,
14,15,19,20,21,22,25,29,32,33,34,35,36,37,38,46,47,48,50,60,61,77,78,79,92,
114,116,118,125,126,128,129,132,134,135,137,150,151,152,154,155,156,157,161,
162,169,170,186,216,223,225,226,227,228,291,293,294,317,319,323,325,365,368,
369,371,372,377,452,453,454,465,467,468,472,474,475,480,481,542,587,702,704,
706,723,726,732,735,926],[1,3,5,6,7,16,18,20,21,23,32,33,35,41,68,69,74,76,79,
91,124,125,127,129,131,133,135,138,139,193,217,219,311,313,314,316,319,320,
324,329,330,334,455,462,555,558,709,711,713,927],[1,2,3,4,5,6,7,13,14,15,16,
17,21,22,23,24,29,31,32,33,34,35,43,58,61,62,69,70,72,73,91,114,116,118,122,
125,127,130,132,133,136,138,139,183,214,217,221,287,294,295,316,318,321,327,
328,330,331,335,446,462,534,557,709,712,714,928],[1,2,3,4,5,6,9,10,13,14,15,
16,17,21,22,23,24,29,32,33,34,35,38,49,50,52,58,61,62,69,70,72,73,93,114,116,
118,125,127,130,132,133,136,141,143,160,183,218,229,230,287,294,295,316,318,
321,327,340,341,342,345,456,464,534,573,710,720,721,929],[1,2,3,4,6,8,9,14,16,
18,19,20,22,24,31,33,34,37,38,46,47,49,50,63,65,67,68,70,75,78,92,122,127,128,
131,132,135,136,140,142,145,148,150,151,154,155,157,159,160,161,162,163,191,
223,224,226,306,308,310,320,321,322,323,332,333,337,339,343,344,354,355,362,
363,367,368,370,371,463,466,468,471,472,475,476,553,565,566,715,718,719,727,
729,734,735,930],[1,2,3,4,6,8,9,13,14,16,17,18,19,20,29,33,36,37,38,46,47,58,
59,60,63,64,68,71,92,114,117,127,130,131,134,135,140,142,145,148,150,151,152,
153,154,155,182,223,225,228,287,289,291,298,300,320,326,332,333,336,337,351,
352,365,366,463,467,469,470,471,474,475,532,563,716,717,718,730,732,736,737,
931],[1,2,3,4,5,6,8,9,14,15,17,18,19,20,22,23,25,31,33,34,35,36,37,38,46,47,
48,49,50,64,65,66,71,73,76,78,92,122,123,129,130,131,132,133,134,137,145,148,
150,153,154,155,157,158,160,162,169,170,192,223,224,226,227,228,307,308,309,
324,325,326,327,352,354,356,362,366,368,375,376,465,466,469,471,472,473,474,
479,481,554,583,722,725,726,727,728,737,738,932],[1,2,3,4,5,6,8,9,13,14,15,18,
19,20,23,24,25,29,33,34,35,36,37,38,46,47,48,50,59,60,62,66,67,75,76,92,114,
117,118,128,129,131,133,136,137,145,148,150,152,154,155,158,159,161,163,169,
170,185,223,225,226,227,228,289,293,295,299,301,322,324,351,355,356,363,365,
367,373,376,465,467,468,470,471,473,476,480,481,539,581,723,724,725,730,731,
733,734,933],[1,2,3,4,6,8,9,13,14,16,17,18,19,20,29,31,32,37,46,47,49,58,59,
60,63,64,68,71,92,115,138,140,141,145,150,152,153,154,155,182,216,224,225,302,
328,329,332,336,337,340,351,352,365,366,451,487,548,563,745,747,748,934],[1,3,
5,6,8,9,16,18,20,21,23,32,33,37,38,48,68,69,74,76,79,92,124,138,140,141,145,
150,156,158,193,216,223,329,330,332,338,341,353,356,369,450,487,558,564,745,
749,935],[1,2,3,4,6,8,9,14,16,18,19,20,22,24,29,32,34,37,46,47,50,63,65,67,68,
70,75,78,92,116,138,140,141,145,150,154,155,157,159,191,216,225,226,302,329,
331,332,337,339,342,354,355,367,368,452,487,549,565,745,748,750,936],[1,2,3,4,
6,9,10,14,16,18,19,20,22,24,29,32,34,38,49,50,52,63,65,67,68,70,75,78,93,116,
138,142,143,148,151,160,161,162,163,191,218,229,230,302,329,331,333,343,344,
345,362,363,370,371,456,488,549,566,746,751,752,937],[1,2,3,4,5,6,8,9,13,14,
15,16,17,21,22,23,24,31,33,34,37,38,46,47,48,49,50,58,61,62,69,70,72,73,92,
122,138,140,141,152,153,154,156,157,158,159,160,169,183,223,224,226,328,330,
331,336,338,339,340,341,342,372,373,374,375,466,487,557,567,573,747,749,750,
938],[1,2,3,4,5,6,8,9,13,14,15,16,19,21,22,23,25,29,33,37,38,46,47,48,61,63,
66,69,77,92,114,138,140,141,152,154,155,156,157,158,169,170,187,223,225,302,
330,337,338,341,372,376,377,467,487,543,568,748,749,939],[1,3,5,6,8,9,16,21,
23,26,33,37,38,48,69,80,92,127,138,140,141,142,156,158,171,194,223,330,338,
341,378,463,487,559,569,574,749,940],[1,3,4,5,6,8,9,16,19,21,22,23,24,25,33,
34,37,38,47,48,50,69,70,77,81,84,92,128,138,140,141,155,156,157,158,159,161,
170,195,223,226,330,331,338,339,341,342,377,379,382,468,487,560,570,575,749,
750,941],[1,3,5,6,8,9,16,20,21,23,27,33,37,38,48,69,79,82,92,129,138,140,141,
150,156,158,172,196,223,330,338,341,369,380,465,487,561,571,749,942],[1,3,5,6,
8,9,16,17,21,23,24,33,37,38,48,69,72,81,92,130,138,140,141,153,156,158,159,
197,223,330,338,341,374,379,469,487,562,572,749,943],[1,3,5,6,7,16,21,23,26,
33,69,80,91,127,138,139,174,194,330,462,559,576,944],[1,3,5,6,9,10,16,21,23,
26,33,38,69,80,93,127,138,141,142,143,175,194,330,341,464,488,559,574,577,
945],[1,2,3,4,7,8,10,14,16,18,19,20,22,24,30,37,41,43,46,47,52,63,65,67,68,70,
75,78,96,120,139,140,143,145,150,154,155,157,159,191,240,245,246,303,332,334,
335,337,339,345,354,355,367,368,489,496,550,565,753,754,755,946],[1,3,5,7,8,
10,16,21,23,26,37,48,69,80,96,139,140,143,156,158,171,174,175,194,338,378,489,
506,569,576,577,947],[1,3,5,7,9,10,16,21,23,26,38,69,80,97,139,141,142,143,
174,175,194,341,490,574,576,577,948],[1,2,3,4,7,8,10,13,14,16,17,18,19,20,37,
39,41,42,46,47,51,58,59,60,63,64,68,71,96,140,144,145,146,150,152,153,154,155,
164,182,240,243,244,288,332,336,337,346,347,351,352,357,365,366,491,495,535,
563,757,759,760,949],[1,3,5,7,8,10,16,18,20,21,23,37,41,44,45,48,53,68,69,74,
76,79,96,140,144,145,146,150,156,158,167,193,240,247,248,332,338,346,348,350,
353,356,358,369,491,497,564,578,757,761,764,950],[1,2,3,4,7,8,10,14,16,18,19,
20,22,24,30,37,41,43,46,47,52,63,65,67,68,70,75,78,96,120,140,144,145,146,150,
154,155,157,159,191,240,245,246,304,332,337,339,346,349,354,355,359,367,368,
491,496,551,565,757,762,763,951],[1,2,3,4,7,9,12,14,16,18,19,20,22,24,30,38,
41,43,49,50,56,63,65,67,68,70,75,78,99,120,142,144,148,149,151,160,161,162,
163,191,241,254,255,304,333,343,344,346,349,362,363,364,370,371,492,498,551,
566,758,765,766,952],[1,2,3,4,5,7,8,10,13,14,15,18,21,22,30,37,39,44,46,47,48,
53,59,61,65,74,96,119,144,145,146,152,154,156,157,169,184,243,245,247,288,304,
348,351,353,354,358,372,491,500,536,580,759,761,762,953],[1,2,3,4,5,7,8,10,13,
14,15,18,19,20,23,24,25,37,39,43,45,46,47,48,52,59,60,62,66,67,75,76,96,144,
145,146,150,152,154,155,158,159,165,169,170,185,243,246,248,288,349,350,351,
355,356,359,365,367,373,376,491,501,537,581,759,763,764,954],[1,3,4,5,7,8,10,
17,18,19,21,22,24,25,37,42,43,44,47,48,51,52,53,71,72,74,75,77,96,144,145,146,
153,155,156,157,159,168,170,173,198,244,246,247,347,348,349,352,353,355,357,
358,359,374,377,491,503,579,582,586,760,761,763,955],[1,2,3,4,5,7,8,10,14,15,
17,18,19,20,22,23,25,30,37,42,45,46,47,48,51,64,65,66,71,73,76,78,96,121,144,
145,146,150,153,154,155,157,158,169,170,192,244,245,248,304,347,350,352,354,
356,357,366,368,375,376,491,502,552,583,760,762,764,956],[1,2,3,4,5,8,11,12,
13,14,15,18,19,20,23,24,25,37,40,46,47,48,54,55,56,59,60,62,66,67,75,76,101,
145,147,149,150,152,154,155,158,159,166,169,170,185,257,258,259,290,351,355,
356,360,361,364,365,367,373,376,493,505,540,581,767,768,769,957],[1,3,5,7,8,
10,21,23,26,27,37,41,44,45,48,53,80,83,86,87,88,96,156,158,167,171,172,174,
175,207,240,247,248,378,381,384,385,386,389,390,391,392,497,506,597,603,772,
773,774,958],[1,4,5,7,8,10,25,27,42,43,44,47,48,51,52,53,85,89,90,96,168,170,
172,173,212,244,246,247,383,387,388,393,394,395,503,602,604,605,606,775,959],[
1,4,5,11,25,27,40,54,55,85,89,90,105,166,212,267,268,509,510,776,777,778,
960],[1,2,3,4,5,13,14,15,16,17,20,21,22,23,24,27,28,58,61,62,64,67,69,70,72,
73,79,81,82,109,110,111,112,113,183,189,190,196,197,200,201,271,272,273,274,
275,276,277,278,279,280,281,282,283,427,511,512,513,514,515,516,517,518,519,
520,521,522,523,779,780,781,782,783,784,785,961],[1,3,6,7,8,9,10,11,12,32,33,
37,38,41,91,92,93,94,95,96,97,98,99,100,101,102,103,104,216,217,218,219,223,
234,240,241,396,397,398,399,400,401,402,608,609,610,611,625,786,962],[1,2,6,7,
8,9,10,11,12,29,30,31,46,49,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
213,214,215,224,225,229,245,254,396,397,398,399,400,401,402,607,613,615,620,
622,786,963],[1,4,6,7,8,9,10,11,12,36,39,40,42,47,51,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,220,228,233,237,239,242,243,244,249,257,261,262,396,
397,398,399,400,401,402,612,614,624,628,630,632,786,964],[1,4,6,7,8,9,10,11,
12,34,43,47,50,52,54,56,91,92,93,94,95,96,97,98,99,100,101,102,103,104,221,
226,230,235,238,246,250,252,255,256,258,260,263,265,396,397,398,399,400,401,
402,616,618,621,626,629,633,635,786,965],[1,5,6,7,8,9,10,11,12,35,44,45,48,53,
55,91,92,93,94,95,96,97,98,99,100,101,102,103,104,222,227,231,232,236,247,248,
251,253,259,264,266,396,397,398,399,400,401,402,617,619,623,627,631,634,786,
966],[1,4,6,7,11,34,40,43,54,91,94,98,105,107,221,235,252,267,397,403,406,618,
636,787,967],[1,4,6,7,11,36,39,40,42,54,91,94,98,105,107,220,233,237,242,267,
397,403,406,612,637,787,968],[1,5,6,7,11,35,44,45,55,91,94,98,105,107,222,231,
236,253,268,270,397,403,406,619,638,640,787,969],[1,4,6,7,11,12,36,39,40,42,
56,91,94,98,106,108,220,233,237,242,269,397,404,405,612,639,788,970],[1,4,7,8,
10,11,12,40,43,47,52,54,56,96,98,100,101,103,104,105,106,246,252,256,257,258,
263,265,267,269,401,403,404,407,409,411,633,636,641,644,648,789,971],[1,4,7,8,
10,11,12,40,42,47,51,54,56,96,98,100,101,103,104,105,106,242,244,257,258,261,
262,267,269,401,403,404,407,409,411,632,637,639,641,645,649,789,972],[1,5,7,8,
10,11,12,44,48,53,55,96,98,100,101,103,104,105,106,247,253,259,264,266,268,
401,403,404,407,409,411,634,638,642,646,650,789,973],[1,5,7,8,10,11,12,44,48,
53,55,96,98,100,101,103,104,107,108,247,253,259,264,266,270,401,405,406,408,
410,412,634,640,643,647,651,790,974],[1,4,7,9,10,11,12,40,43,50,52,54,56,97,
98,99,100,102,105,108,250,252,255,256,260,267,402,403,405,635,636,791,975],[1,
5,7,26,27,45,57,88,174,284,391,976],[1,3,7,16,18,20,41,57,68,139,144,284,334,
346,977],[1,5,8,26,48,57,86,171,285,384,652,978],[1,5,7,26,44,57,86,174,284,
390,652,979],[1,5,10,26,53,57,86,175,286,392,652,980],[1,5,10,26,53,57,86,175,
286,392,652,981],[1,3,7,8,10,18,28,37,41,96,111,144,145,146,180,240,418,491,
653,982],[1,3,6,7,11,18,28,33,41,94,111,131,144,147,179,234,415,477,653,983],[
1,3,7,9,12,18,28,38,41,99,111,144,148,149,181,241,419,492,653,984],[1,3,6,8,9,
16,28,32,37,92,111,138,140,141,180,216,418,487,654,985],[1,3,6,7,16,28,32,33,
91,111,127,138,139,179,217,415,462,654,986],[1,3,6,9,10,16,28,32,38,93,111,
138,142,143,181,218,419,488,654,987],[1,2,3,4,6,8,9,14,28,31,33,34,37,38,46,
47,49,50,92,109,111,112,122,154,160,179,180,181,223,224,226,272,414,415,416,
418,419,420,421,423,424,466,531,655,669,671,795,796,797,988],[1,3,6,8,9,20,28,
33,37,38,92,111,129,150,179,180,181,223,281,415,418,419,465,531,656,667,796,
989],[1,3,6,8,9,17,28,33,37,38,92,111,130,153,179,180,181,223,280,415,418,419,
469,531,657,668,796,990],[1,3,6,8,9,16,28,37,92,110,138,140,141,179,180,181,
274,417,487,531,658,659,660,991],[1,2,3,4,5,6,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,29,31,32,33,34,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,114,115,116,122,124,127,128,129,130,138,
182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,287,292,293,302,306,307,311,312,328,329,330,331,425,
426,427,428,429,430,431,432,434,533,543,548,549,557,558,559,560,561,562,675,
799,801,802,803,804,805,806,992],[1,2,3,4,5,7,13,14,15,18,21,22,23,24,26,27,
30,39,44,59,61,62,65,74,80,81,82,83,84,86,87,88,90,119,144,174,184,188,190,
202,203,207,209,288,304,348,390,393,428,436,439,536,676,825,993],[1,2,3,4,5,8,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,37,46,47,48,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,140,145,150,
152,153,154,155,156,157,158,159,169,170,171,172,182,183,184,185,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,332,
336,337,338,339,351,352,353,354,355,356,365,366,367,368,369,372,373,374,375,
376,377,378,379,380,381,382,383,425,426,427,428,429,430,431,432,434,563,564,
565,567,568,569,570,571,572,580,581,582,583,584,585,587,588,589,590,591,592,
593,594,595,596,675,807,808,809,810,811,812,819,820,827,994],[1,3,5,8,16,18,
20,21,23,26,27,37,48,68,69,74,76,79,80,82,83,86,87,88,90,140,145,150,156,158,
171,172,193,194,196,202,206,207,208,209,332,338,353,356,369,378,380,381,384,
385,386,388,431,433,436,437,441,564,569,571,584,590,597,598,599,678,808,813,
821,822,828,995],[1,3,5,8,16,18,20,21,23,24,26,27,37,48,68,69,74,76,79,80,81,
82,83,89,140,145,150,156,158,159,171,172,193,194,196,202,203,206,210,332,338,
353,356,369,378,379,380,381,387,431,438,439,564,569,571,584,585,590,600,679,
808,823,824,996],[1,3,5,7,16,18,20,21,23,26,27,41,44,45,68,69,74,76,79,80,82,
83,86,87,88,90,139,167,174,193,194,196,202,206,207,208,209,334,389,390,391,
431,433,436,437,441,576,603,678,815,816,817,997],[1,2,3,4,5,8,13,14,15,18,21,
22,23,24,26,27,37,46,47,48,59,61,62,65,74,80,81,82,83,84,86,87,88,90,145,152,
154,156,157,158,159,169,171,172,184,188,190,202,203,207,209,351,353,354,372,
373,378,379,380,381,382,384,385,386,388,428,436,439,580,584,585,592,593,597,
599,676,819,821,824,998],[1,2,3,4,5,8,13,14,15,18,21,22,23,24,26,27,37,46,47,
48,59,61,62,65,74,80,81,82,83,84,87,89,145,152,154,156,157,158,159,169,171,
172,184,188,190,202,203,208,210,351,353,354,372,373,378,379,380,381,382,385,
387,428,437,438,580,584,585,592,593,598,600,677,819,822,823,999],[1,3,4,5,8,
17,18,19,21,22,23,24,25,26,27,37,47,48,71,72,73,74,75,77,80,82,83,84,85,86,87,
88,89,90,145,153,155,156,157,158,159,170,171,172,198,199,200,202,204,207,209,
210,211,212,352,353,355,374,375,377,378,380,381,382,383,384,385,386,387,388,
434,435,436,438,440,582,584,594,595,596,597,599,600,601,602,680,820,821,823,
829,830,1000],[1,3,4,5,8,17,18,19,21,22,23,24,25,26,27,37,47,48,71,72,73,74,
75,77,80,81,82,83,84,85,87,145,153,155,156,157,158,159,170,171,172,198,199,
200,202,203,204,208,352,353,355,374,375,377,378,379,380,381,382,383,385,434,
437,439,582,584,585,594,595,596,598,681,820,822,824,1001],[1,3,5,7,16,18,20,
21,23,26,27,41,44,45,68,69,74,76,79,80,82,83,86,87,88,90,144,167,174,193,194,
196,202,206,207,208,209,346,348,350,389,390,391,393,431,433,436,437,441,578,
603,678,825,1002],[1,3,4,5,7,17,18,19,21,22,23,24,25,26,27,42,43,44,71,72,73,
74,75,77,80,82,83,84,85,86,87,88,89,90,144,168,174,198,199,200,202,204,207,
209,210,211,212,347,348,349,390,393,434,435,436,438,440,579,604,680,825,
1003],[1,3,4,5,10,17,18,19,21,22,23,24,25,26,27,51,52,53,71,72,73,74,75,77,80,
82,83,84,85,86,87,88,89,90,146,173,175,198,199,200,202,204,207,209,210,211,
212,357,358,359,392,394,395,434,435,436,438,440,586,605,606,680,826,1004],[1,
2,3,4,6,7,11,13,19,20,29,30,31,32,33,36,39,40,41,42,60,91,94,98,114,115,134,
135,164,213,214,215,217,219,220,233,234,237,242,291,397,442,445,457,458,485,
607,610,612,687,831,838,840,1005],[1,2,3,4,6,7,11,13,14,18,29,30,31,32,33,34,
41,43,54,59,91,94,98,114,115,116,120,122,124,213,214,215,217,219,221,234,235,
252,292,397,442,443,445,446,448,455,607,610,618,683,831,832,846,1006],[1,2,3,
5,6,7,11,13,23,24,29,30,31,32,33,35,41,44,45,55,62,91,94,98,114,115,133,136,
167,213,214,215,217,219,222,231,234,236,253,295,397,442,445,459,460,482,607,
610,619,688,831,847,848,1007],[1,2,3,4,5,6,7,11,14,15,19,23,25,29,30,31,32,33,
34,35,36,39,40,41,42,43,44,45,54,55,66,91,94,98,116,119,120,121,122,123,133,
134,137,164,165,166,167,168,213,214,215,217,219,220,221,222,231,233,234,235,
236,237,242,252,253,305,309,397,443,444,446,447,448,449,458,459,461,482,483,
485,486,499,607,610,612,618,619,684,691,832,833,840,847,851,1008],[1,2,3,4,6,
7,11,14,20,24,29,30,31,32,33,34,41,43,54,67,91,94,98,116,120,122,135,136,213,
214,215,217,219,221,234,235,252,310,397,443,446,448,457,460,607,610,618,685,
832,838,848,1009],[1,3,5,6,7,8,9,10,11,12,18,21,32,33,35,37,38,44,48,53,74,92,
94,95,96,99,101,102,124,125,131,144,145,146,147,148,149,156,216,223,227,231,
232,247,313,348,353,358,399,450,453,471,477,478,491,492,493,494,623,695,699,
700,761,855,1010],[1,2,3,4,6,7,8,9,10,13,14,18,29,30,31,32,33,34,37,38,41,43,
46,47,49,50,52,59,91,92,93,96,97,114,115,116,120,122,124,145,152,154,160,213,
214,216,217,218,219,221,223,224,225,226,229,230,240,245,246,250,292,351,396,
442,443,445,446,450,451,452,455,456,466,467,496,608,609,613,615,616,683,693,
834,835,836,841,843,1011],[1,3,4,6,7,8,9,10,18,19,24,32,33,37,38,39,41,42,47,
51,75,91,92,93,96,97,124,145,155,159,164,216,217,218,219,220,223,240,243,244,
249,355,396,450,455,458,460,495,608,609,614,707,835,842,845,1012],[1,3,5,6,7,
8,9,10,18,20,23,32,33,37,38,41,44,45,48,53,76,91,92,93,96,97,124,145,150,158,
167,216,217,218,219,222,223,240,247,248,251,356,396,450,455,457,459,497,608,
609,617,708,835,837,844,1013],[1,3,5,6,7,8,9,10,16,21,23,32,33,35,37,38,48,69,
91,92,93,96,97,125,127,133,138,139,140,141,142,143,156,158,216,217,218,223,
227,316,330,338,341,396,453,462,463,464,473,487,488,489,490,608,703,709,710,
749,854,1014],[1,2,3,4,6,7,8,9,10,13,19,20,29,31,32,37,39,41,42,46,47,49,51,
60,91,92,93,96,97,115,150,152,155,164,214,216,219,220,224,225,229,240,243,244,
249,365,396,445,451,457,458,495,609,613,614,687,837,841,842,1015],[1,2,3,4,6,
7,8,9,10,14,20,24,29,30,32,34,37,41,43,46,47,50,52,67,91,92,93,96,97,116,120,
150,154,159,213,216,219,221,225,226,230,240,245,246,250,367,396,443,452,457,
460,496,609,615,616,685,837,843,845,1016],[1,3,5,6,7,11,18,20,23,32,33,35,41,
44,45,55,76,91,94,98,124,133,135,167,217,219,222,231,234,236,253,314,397,455,
457,459,482,610,619,708,838,846,847,1017],[1,2,3,4,6,7,9,10,12,14,20,24,29,30,
32,34,38,41,43,49,50,52,56,67,91,93,95,99,100,116,120,151,160,163,213,218,219,
221,229,230,238,241,254,255,256,370,398,443,456,457,460,498,611,620,621,685,
839,849,850,1018],[1,3,4,6,7,11,18,19,24,32,33,36,39,40,41,42,75,91,94,98,124,
134,136,164,217,219,220,233,234,237,242,315,397,455,458,460,485,610,612,707,
840,846,848,1019],[1,2,3,5,6,7,8,9,10,13,23,24,29,31,32,37,41,44,45,46,48,49,
53,62,91,92,93,96,97,115,152,158,159,167,214,216,219,222,224,225,229,240,247,
248,251,373,396,445,451,459,460,497,609,613,617,688,841,844,845,1020],[1,2,3,
4,5,6,7,8,9,10,14,15,19,23,25,29,30,32,34,37,39,41,42,43,44,45,46,47,48,50,51,
52,53,66,91,92,93,96,97,116,119,120,121,154,155,158,164,165,167,168,169,170,
173,213,216,219,220,221,222,225,226,230,240,243,244,245,246,247,248,249,250,
251,305,376,396,443,444,452,458,459,461,495,496,497,500,501,502,503,504,609,
614,615,616,617,684,771,842,843,844,852,853,1021],[1,3,6,7,8,9,10,16,18,20,32,
33,37,38,41,68,91,92,93,96,97,124,127,129,138,139,140,141,142,143,145,150,216,
219,223,240,311,329,332,334,396,450,462,463,464,465,487,488,489,490,609,692,
711,745,753,854,1022],[1,2,3,4,6,7,8,9,10,14,16,19,29,31,33,34,37,38,46,47,49,
50,63,91,92,93,96,97,122,127,128,138,139,140,141,142,143,154,155,160,161,214,
223,224,225,226,229,302,306,337,343,396,462,463,464,466,468,487,488,489,490,
613,689,715,748,751,854,1023],[1,2,3,6,7,8,9,10,13,16,17,29,31,33,37,38,46,49,
58,91,92,93,96,97,114,127,130,138,139,140,141,142,143,152,153,214,223,224,225,
229,287,328,336,340,396,462,463,464,467,469,487,488,489,490,613,712,716,720,
747,854,1024],[1,2,3,4,6,7,8,9,10,14,16,19,29,30,33,36,37,38,46,47,63,91,92,
93,96,97,117,127,134,138,139,140,141,142,143,154,155,213,223,225,228,245,298,
302,303,337,396,462,463,464,470,474,487,488,489,490,615,686,717,748,754,854,
1025],[1,3,6,7,8,9,10,16,18,20,32,33,37,38,68,91,92,93,96,97,127,131,135,138,
139,140,141,142,143,145,148,150,151,216,217,218,223,320,329,332,333,396,462,
463,464,471,475,487,488,489,490,608,713,718,745,746,854,1026],[1,3,4,6,7,8,9,
10,16,22,24,33,34,37,38,43,47,50,52,70,91,92,93,96,97,127,132,136,138,139,140,
141,142,143,157,159,162,163,221,223,226,230,246,250,321,331,335,339,342,344,
345,396,462,463,464,472,476,487,488,489,490,616,714,719,721,750,752,755,756,
854,1027],[1,2,3,4,6,7,8,9,10,11,12,14,18,22,30,31,33,34,37,38,46,47,49,50,65,
92,94,95,96,99,101,102,122,131,132,144,145,146,147,148,149,154,157,160,162,
215,223,224,226,245,254,304,308,354,362,399,466,471,472,477,478,491,492,493,
494,622,690,727,762,765,855,1028],[1,2,3,4,6,7,8,9,10,11,12,13,14,18,29,33,36,
37,38,39,40,46,47,59,92,94,95,96,99,101,102,114,117,131,144,145,146,147,148,
149,152,154,223,225,228,233,243,257,288,289,290,351,399,467,470,471,477,478,
491,492,493,494,624,682,730,759,767,855,1029],[1,3,6,7,8,9,10,11,12,16,18,20,
33,37,38,41,68,92,94,95,96,99,101,102,127,131,135,140,142,144,145,146,147,148,
149,150,151,223,234,240,241,320,332,333,346,399,463,471,475,477,478,491,492,
493,494,625,718,739,757,758,855,1030],[1,3,4,6,7,8,9,10,11,12,18,19,24,33,34,
37,38,43,47,50,52,54,56,75,92,94,95,96,99,101,102,128,131,136,144,145,146,147,
148,149,155,159,161,163,223,226,235,238,246,255,258,260,322,349,355,359,360,
363,364,399,468,471,476,477,478,491,492,493,494,626,734,740,743,763,766,768,
770,855,1031],[1,3,5,6,7,8,9,10,11,12,18,20,23,33,35,37,38,45,48,55,76,92,94,
95,96,99,101,102,129,131,133,144,145,146,147,148,149,150,158,223,227,236,248,
259,324,350,356,361,399,465,471,473,477,478,491,492,493,494,627,725,741,764,
769,855,1032],[1,3,4,6,7,8,9,10,11,12,17,18,19,33,36,37,38,42,47,51,71,92,94,
95,96,99,101,102,130,131,134,144,145,146,147,148,149,153,155,223,228,237,239,
244,326,347,352,357,399,469,471,474,477,478,491,492,493,494,628,737,742,744,
760,855,1033],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,19,23,25,30,31,33,34,35,36,37,
38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,66,92,94,95,96,99,
101,102,119,120,121,122,123,133,134,137,154,155,158,160,164,165,166,167,168,
169,170,173,215,223,224,226,227,228,231,232,233,234,235,236,237,238,239,240,
241,243,244,245,246,247,248,254,255,257,258,259,260,305,309,376,399,447,448,
449,466,473,474,479,481,482,483,484,485,486,495,496,497,498,500,501,502,503,
505,622,623,624,625,626,627,628,691,728,771,856,857,858,859,860,861,862,
1034],[1,4,5,8,11,12,25,27,40,47,48,54,55,56,85,101,105,106,166,170,172,257,
258,259,267,268,269,383,407,505,509,510,641,642,776,866,867,1035],[1,5,8,11,
12,27,48,55,89,101,105,106,172,259,268,387,407,510,642,777,867,1036],[1,5,8,
11,12,27,48,55,90,101,105,106,172,259,268,388,407,510,642,778,867,1037],[1,5,
7,11,27,44,55,90,98,105,253,268,393,403,510,638,778,1038],[1,5,10,11,12,27,53,
55,90,104,105,106,266,268,394,411,510,650,778,1039],[1,5,10,11,12,27,53,55,90,
103,105,106,264,268,395,409,510,646,778,1040],[1,2,3,4,5,7,14,15,17,18,19,20,
22,23,25,28,30,39,41,42,43,44,45,64,65,66,71,73,76,78,109,111,112,119,120,121,
144,164,165,167,168,192,272,280,281,304,305,347,350,514,552,653,870,871,872,
1041],[1,2,3,4,6,13,14,16,17,18,19,20,28,29,31,32,33,34,58,59,60,63,64,68,71,
109,111,112,114,115,116,122,124,138,182,272,280,281,292,302,328,329,514,548,
654,873,874,875,1042],[1,2,3,4,5,6,13,14,15,16,17,21,22,23,24,28,29,31,32,33,
34,35,36,58,61,62,69,70,72,73,110,111,113,115,117,118,122,123,125,126,138,183,
276,280,282,296,328,330,331,520,557,654,873,876,877,1043],[1,3,5,6,16,18,20,
21,23,28,32,33,35,68,69,74,76,79,110,111,113,124,125,131,138,193,276,281,313,
329,330,523,558,654,874,876,1044],[1,2,3,4,6,14,16,18,19,20,22,24,28,29,32,33,
34,36,63,65,67,68,70,75,78,109,111,112,116,117,124,126,132,138,191,272,281,
282,297,302,329,331,515,549,654,874,875,877,1045],[1,2,3,4,5,6,13,14,15,16,19,
21,22,23,25,28,29,32,33,34,35,61,63,66,69,77,109,110,111,112,113,114,116,118,
125,132,138,187,271,272,273,276,277,294,302,330,512,543,654,875,876,1046],[1,
3,5,6,16,21,23,26,28,32,33,35,69,80,110,111,113,125,127,133,138,194,274,276,
278,316,330,516,559,654,876,1047],[1,3,4,5,6,16,19,21,22,23,24,25,28,32,33,34,
35,36,69,70,77,81,84,110,111,113,125,126,128,134,137,138,195,276,282,317,330,
331,522,560,654,876,877,1048],[1,3,5,6,16,20,21,23,27,28,32,33,35,69,79,82,
110,111,113,125,129,135,138,196,276,283,319,330,521,561,654,876,1049],[1,3,5,
6,16,17,21,23,24,28,32,33,35,69,72,81,110,111,113,125,130,136,138,197,275,276,
279,318,330,518,562,654,876,1050],[1,2,3,4,5,6,13,14,15,16,17,21,22,23,24,28,
31,33,34,58,61,62,69,70,72,73,109,110,111,112,113,122,138,179,183,271,272,273,
274,275,276,277,278,279,328,330,331,414,415,416,511,512,513,516,517,518,519,
557,655,658,779,879,880,881,1051],[1,3,5,6,16,20,21,23,27,28,33,69,79,82,110,
111,113,129,138,179,196,274,276,278,281,283,330,415,516,521,523,561,656,658,
782,880,1052],[1,3,5,6,16,17,21,23,24,28,33,69,72,81,110,111,113,130,138,179,
197,274,276,278,280,282,330,415,516,520,522,562,657,658,783,880,1053],[1,2,3,
4,5,8,13,14,15,16,17,21,22,23,24,28,37,46,47,48,58,61,62,69,70,72,73,109,110,
111,112,113,140,152,153,154,156,157,158,159,169,180,183,271,272,273,274,275,
276,277,278,279,336,338,339,372,373,374,375,417,418,420,421,422,511,512,513,
516,517,518,519,567,659,661,662,663,664,665,666,669,672,779,882,883,884,888,
889,890,891,1054],[1,3,5,8,16,20,21,23,27,28,37,48,69,79,82,110,111,113,140,
150,156,158,172,180,196,274,276,278,281,283,338,369,380,417,418,422,516,521,
523,571,659,663,665,667,673,782,883,893,895,1055],[1,3,5,8,16,17,21,23,24,28,
37,48,69,72,81,110,111,113,140,153,156,158,159,180,197,274,276,278,280,282,
338,374,379,417,418,422,516,520,522,572,659,663,665,668,670,783,883,892,894,
1056],[1,2,3,4,5,9,13,14,15,16,17,21,22,23,24,28,38,49,50,58,61,62,69,70,72,
73,109,110,111,112,113,141,160,181,183,271,272,273,274,275,276,277,278,279,
340,341,342,419,423,424,511,512,513,516,517,518,519,573,660,671,779,885,886,
887,1057],[1,2,3,4,5,8,13,14,15,17,20,21,22,24,28,37,46,47,48,61,64,67,72,79,
109,110,111,112,113,150,152,153,154,156,157,159,169,180,189,271,272,273,276,
277,280,281,282,366,367,369,372,374,417,418,420,421,422,512,514,515,520,523,
588,661,663,664,667,668,669,670,672,780,888,892,895,896,897,1058],[1,2,3,4,5,
8,13,14,15,21,22,24,27,28,37,46,47,48,61,81,82,109,110,111,112,113,152,154,
156,157,159,169,172,180,190,271,272,273,276,277,282,283,372,379,380,417,418,
420,421,422,512,521,522,593,661,663,664,669,670,672,673,781,888,893,894,
1059],[1,3,5,8,17,21,24,27,28,37,48,72,82,110,111,113,153,156,159,172,180,200,
275,276,279,280,282,283,374,380,417,418,422,518,520,521,595,662,663,666,668,
670,673,784,890,892,893,1060],[1,3,5,8,17,20,21,24,28,37,48,72,79,81,110,111,
113,150,153,156,159,180,201,275,276,279,281,282,369,374,379,417,418,422,518,
522,523,591,662,663,666,667,670,785,890,894,895,1061],[1,6,7,8,9,10,11,12,91,
92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,396,397,398,399,
400,401,402,403,404,405,406,407,408,409,410,411,412,786,787,788,789,790,791,
792,1062],[1,2,4,5,7,8,10,15,30,39,44,46,47,48,53,57,96,119,169,176,177,178,
243,245,247,284,285,286,413,500,524,525,526,527,528,529,530,674,793,794,898,
899,900,1063],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,21,22,23,24,25,29,30,
31,32,33,34,35,36,39,40,41,42,43,44,45,54,55,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,94,114,115,116,117,118,119,120,121,122,123,
124,125,126,127,128,129,130,131,132,133,134,135,136,137,144,147,164,165,166,
167,168,182,183,184,185,186,187,189,191,192,193,198,215,231,233,234,235,236,
237,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,304,305,306,
307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,
326,327,346,347,348,349,350,360,361,425,447,448,449,477,482,483,485,486,532,
533,534,535,536,537,538,539,540,541,542,544,545,546,547,551,552,553,554,555,
556,578,579,682,690,691,699,739,740,741,742,798,800,902,903,904,911,912,920,
921,1064],[1,2,3,4,5,6,7,13,14,15,16,17,18,19,20,21,22,23,24,25,29,30,31,32,
33,34,35,36,41,43,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,
78,79,91,114,115,116,117,118,120,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,136,137,138,139,182,183,184,185,186,187,189,191,192,193,198,213,
214,217,219,221,287,289,291,292,293,294,295,296,297,298,299,300,301,302,303,
306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,
325,326,327,328,329,330,331,334,335,425,442,443,445,446,455,462,532,533,534,
538,539,541,542,543,544,545,546,547,548,549,550,553,554,555,556,557,558,683,
686,689,709,711,712,713,714,798,801,906,907,908,909,910,927,928,1065],[1,2,3,
4,5,6,8,9,13,14,15,16,17,18,19,20,21,22,23,24,25,29,31,32,33,34,35,36,37,38,
46,47,48,49,50,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,
79,92,114,115,116,117,118,122,123,124,125,126,127,128,129,130,131,132,133,134,
135,136,137,140,142,145,148,150,151,152,153,154,155,156,157,158,159,160,161,
162,163,169,170,182,183,184,185,186,187,189,191,192,193,198,216,223,224,225,
226,227,228,287,289,291,292,293,294,295,296,297,298,299,300,301,306,307,308,
309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,
332,333,336,337,338,339,343,344,351,352,353,354,355,356,362,363,365,366,367,
368,369,370,371,372,373,374,375,376,377,425,450,451,452,453,454,463,465,466,
467,468,469,470,471,472,473,474,475,476,479,480,481,532,533,534,538,539,541,
542,544,545,546,547,553,554,555,556,563,564,565,566,567,568,580,581,582,583,
587,588,692,693,694,695,696,697,698,701,702,703,704,705,706,715,716,717,718,
719,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,798,
807,913,914,915,916,917,918,919,923,924,925,926,930,931,932,933,1066],[1,2,3,
4,5,6,7,13,14,15,16,17,19,21,22,23,24,25,26,29,31,33,34,58,61,62,63,66,69,70,
72,73,77,80,81,84,91,114,122,127,128,130,138,139,174,183,187,188,194,195,197,
199,214,287,302,306,328,330,331,426,462,543,557,559,560,562,576,689,712,799,
803,944,1067],[1,2,3,4,5,6,8,9,13,14,15,16,17,18,19,20,21,22,23,24,25,29,31,
32,33,34,37,38,46,47,48,49,50,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,92,114,115,116,122,124,138,140,141,145,150,152,153,154,155,
156,157,158,159,160,169,170,182,183,184,185,186,187,189,191,192,193,198,216,
223,224,225,226,292,302,328,329,330,331,332,336,337,338,339,340,341,342,351,
352,353,354,355,356,365,366,367,368,369,372,373,374,375,376,377,425,450,451,
452,466,467,487,543,548,549,557,558,563,564,565,567,568,573,580,581,582,583,
587,588,693,745,747,748,749,750,801,807,934,935,936,938,939,1068],[1,3,5,6,8,
9,16,18,20,21,23,26,27,32,33,37,38,48,68,69,74,76,79,80,82,83,92,124,127,129,
138,140,141,142,145,150,156,158,171,172,193,194,196,202,206,216,223,311,329,
330,332,338,341,353,356,369,378,380,381,431,450,463,465,487,558,559,561,564,
569,571,574,584,590,692,745,749,805,808,935,940,942,1069],[1,3,4,5,6,8,9,16,
17,18,19,20,21,22,23,24,25,32,33,34,37,38,47,48,50,68,69,70,71,72,74,75,76,77,
79,81,84,92,124,128,130,138,140,141,145,150,153,155,156,157,158,159,161,170,
193,195,197,198,201,203,205,216,223,226,312,329,330,331,332,338,339,341,342,
352,353,355,356,369,374,377,379,382,432,450,468,469,487,558,560,562,564,570,
572,575,582,585,589,591,694,745,749,750,806,809,935,941,943,1070],[1,2,3,4,5,
6,8,9,13,14,15,16,17,19,21,22,23,24,25,26,31,33,34,37,38,46,47,48,49,50,58,61,
62,63,66,69,70,72,73,77,80,81,84,92,122,127,128,138,140,141,142,152,153,154,
155,156,157,158,159,160,161,169,170,171,183,187,188,194,195,197,199,223,224,
226,306,328,330,331,336,337,338,339,340,341,342,343,372,373,374,375,376,377,
378,379,382,426,463,466,468,487,557,559,560,567,568,569,570,572,573,574,575,
592,594,715,747,749,750,803,810,814,938,940,941,1071],[1,2,3,4,5,6,8,9,13,14,
15,16,17,20,21,22,23,24,27,31,33,34,37,38,46,47,48,49,50,58,61,62,64,67,69,70,
72,73,79,81,82,92,122,129,130,138,140,141,150,152,153,154,156,157,158,159,160,
169,172,183,189,190,196,197,200,201,223,224,226,307,328,330,331,336,338,339,
340,341,342,366,367,369,372,373,374,375,379,380,427,465,466,469,487,557,561,
562,567,571,572,573,588,591,593,595,722,747,749,750,804,811,938,942,943,
1072],[1,2,3,4,5,6,8,9,13,14,15,16,17,19,21,22,23,24,25,26,29,33,37,38,46,47,
48,58,61,62,63,66,69,70,72,73,77,80,81,84,92,114,127,130,138,140,141,142,152,
153,154,155,156,157,158,159,169,170,171,183,187,188,194,195,197,199,223,225,
287,302,330,336,337,338,339,341,372,373,374,375,376,377,378,379,382,426,463,
467,469,487,543,559,562,567,568,569,570,572,574,592,594,716,748,749,799,810,
939,940,943,1073],[1,2,3,4,5,6,8,9,13,14,15,16,19,20,21,22,23,24,25,27,29,33,
34,37,38,46,47,48,50,60,61,63,66,69,70,77,78,79,81,82,84,85,92,114,128,129,
138,140,141,150,152,154,155,156,157,158,159,161,169,170,172,186,187,190,195,
196,204,205,223,225,226,293,302,330,331,337,338,339,341,342,365,368,369,372,
376,377,379,380,382,383,429,465,467,468,487,543,560,561,568,570,571,575,587,
589,593,596,723,748,749,750,802,812,939,941,942,1074],[1,3,5,6,7,16,18,20,21,
23,26,27,32,33,41,68,69,74,76,79,80,82,83,91,124,127,129,138,139,174,193,194,
196,202,206,219,311,329,330,334,389,431,462,558,559,561,576,711,805,815,944,
1075],[1,3,5,6,7,16,21,23,26,27,33,44,45,69,80,83,86,87,88,91,127,138,139,174,
194,207,208,222,330,390,391,433,462,559,576,816,817,944,1076],[1,2,3,4,5,6,9,
10,13,14,15,16,17,19,21,22,23,24,25,26,29,33,38,49,50,58,61,62,63,66,69,70,72,
73,77,80,81,84,93,114,127,130,138,141,142,143,160,161,175,183,187,188,194,195,
197,199,229,287,302,330,340,341,342,343,426,464,488,543,559,562,573,574,575,
577,720,751,799,814,945,1077],[1,3,5,7,8,10,16,18,20,21,23,26,27,37,41,48,68,
69,74,76,79,80,82,83,96,139,140,143,145,150,156,158,171,172,174,175,193,194,
196,202,206,240,332,334,338,353,356,369,378,380,381,389,431,489,506,564,569,
571,576,577,584,590,753,772,808,815,947,1078],[1,3,5,7,8,10,16,21,23,26,27,37,
44,48,53,69,80,83,86,87,88,96,139,140,143,156,158,171,172,174,175,194,207,208,
247,338,378,381,384,385,386,390,392,433,489,506,569,576,577,597,598,773,813,
816,818,947,1079],[1,3,5,7,8,10,16,21,23,26,27,37,45,48,69,80,83,86,87,88,96,
139,140,143,156,158,171,172,174,175,194,207,208,248,338,378,381,384,385,386,
391,433,489,506,569,576,577,597,598,774,813,817,947,1080],[1,3,5,7,9,10,16,21,
23,26,27,38,45,53,69,80,83,86,87,88,97,139,141,142,143,174,175,194,207,208,
251,341,391,392,433,490,574,576,577,817,818,948,1081],[1,2,3,4,5,7,8,10,13,14,
15,16,17,18,19,20,21,22,23,24,25,30,37,39,41,42,43,44,45,46,47,48,51,52,53,58,
59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,96,119,120,121,
140,144,145,146,150,152,153,154,155,156,157,158,159,164,165,167,168,169,170,
173,182,183,184,185,186,187,189,191,192,193,198,240,243,244,245,246,247,248,
288,304,305,332,336,337,338,339,346,347,348,349,350,351,352,353,354,355,356,
357,358,359,365,366,367,368,369,372,373,374,375,376,377,425,491,495,496,497,
500,501,502,503,535,536,537,551,552,563,564,565,567,568,578,579,580,581,582,
583,586,587,588,757,759,760,761,762,763,764,771,800,807,949,950,951,953,954,
955,956,1082],[1,3,5,7,8,10,18,21,23,26,27,37,44,48,53,74,80,82,83,86,87,88,
90,96,144,145,146,156,158,171,172,174,175,202,207,209,247,348,353,358,378,380,
381,384,385,386,388,390,392,393,394,395,436,491,506,584,597,599,761,773,775,
821,825,826,1083],[1,3,6,7,8,9,10,11,12,20,32,33,37,38,41,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,135,150,151,216,217,218,219,223,234,240,241,396,
397,398,399,400,401,402,457,475,608,609,610,611,625,786,837,838,839,962,
1084],[1,2,3,6,7,8,9,10,11,12,13,29,30,31,32,33,37,38,41,46,49,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,114,115,152,213,214,215,216,217,218,219,223,
224,225,229,234,240,241,245,254,396,397,398,399,400,401,402,442,445,451,467,
607,608,609,610,611,613,615,620,622,625,786,831,834,841,962,963,1085],[1,3,4,
6,7,8,9,10,11,12,19,32,33,36,37,38,39,40,41,42,47,51,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,134,155,164,216,217,218,219,220,223,228,233,234,237,
239,240,241,242,243,244,249,257,261,262,396,397,398,399,400,401,402,458,474,
485,495,608,609,610,611,612,614,624,625,628,630,632,786,840,842,861,962,964,
1086],[1,3,6,7,8,9,10,11,12,18,32,33,37,38,41,91,92,93,94,95,96,97,98,99,100,
101,102,103,104,124,145,216,217,218,219,223,234,240,241,396,397,398,399,400,
401,402,450,455,608,609,610,611,625,786,835,846,962,1087],[1,2,3,4,6,7,8,9,10,
11,12,14,29,30,31,32,33,34,37,38,41,43,46,47,49,50,52,54,56,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,116,120,122,154,160,213,214,215,216,217,218,219,
221,223,224,225,226,229,230,234,235,238,240,241,245,246,250,252,254,255,256,
258,260,263,265,396,397,398,399,400,401,402,443,446,448,452,456,466,496,498,
607,608,609,610,611,613,615,616,618,620,621,622,625,626,629,633,635,786,832,
836,843,849,857,962,963,965,1088],[1,3,5,6,7,8,9,10,11,12,23,32,33,35,37,38,
41,44,45,48,53,55,91,92,93,94,95,96,97,98,99,100,101,102,103,104,133,158,167,
216,217,218,219,222,223,227,231,232,234,236,240,241,247,248,251,253,259,264,
266,396,397,398,399,400,401,402,459,473,482,497,608,609,610,611,617,619,623,
625,627,631,634,786,844,847,859,962,966,1089],[1,3,6,7,8,9,10,11,12,24,32,33,
37,38,41,91,92,93,94,95,96,97,98,99,100,101,102,103,104,136,159,163,216,217,
218,219,223,234,240,241,396,397,398,399,400,401,402,460,476,608,609,610,611,
625,786,845,848,850,962,1090],[1,3,6,7,11,18,32,33,41,91,94,98,105,107,124,
147,217,219,234,397,403,406,455,610,787,846,1091],[1,3,6,7,11,12,18,32,33,41,
91,94,98,106,108,124,149,217,219,234,397,404,405,455,610,788,846,1092],[1,2,4,
5,6,7,8,9,10,11,12,15,29,30,31,35,36,39,40,42,44,45,46,47,48,49,51,53,55,91,
92,93,94,95,96,97,98,99,100,101,102,103,104,119,121,123,169,213,214,215,220,
222,224,225,227,228,229,231,232,233,236,237,239,242,243,244,245,247,248,249,
251,253,254,257,259,261,262,264,266,396,397,398,399,400,401,402,444,447,449,
479,500,502,607,612,613,614,615,617,619,620,622,623,624,627,628,630,631,632,
634,786,833,852,856,858,963,964,966,1093],[1,4,5,6,7,8,9,10,11,12,25,34,35,36,
39,40,42,43,44,45,47,48,50,51,52,53,54,55,56,91,92,93,94,95,96,97,98,99,100,
101,102,103,104,137,165,166,168,170,173,220,221,222,226,227,228,230,231,232,
233,235,236,237,238,239,242,243,244,246,247,248,249,250,251,252,253,255,256,
257,258,259,260,261,262,263,264,265,266,396,397,398,399,400,401,402,461,481,
483,484,486,499,501,503,504,505,507,508,612,614,616,617,618,619,621,623,624,
626,627,628,629,630,631,632,633,634,635,786,851,853,860,862,863,864,964,965,
966,1094],[1,4,5,6,7,11,25,34,35,36,39,40,42,43,44,45,54,55,91,94,98,105,107,
137,165,166,168,220,221,222,231,233,235,236,237,242,252,253,267,268,270,397,
403,406,461,483,486,499,509,612,618,619,636,637,638,640,787,851,865,967,968,
969,1095],[1,4,5,7,8,10,11,12,25,40,42,43,44,47,48,51,52,53,54,55,56,96,98,
100,101,103,104,105,106,166,168,170,173,242,244,246,247,252,253,256,257,258,
259,261,262,263,264,265,266,267,268,269,401,403,404,407,409,411,499,503,505,
507,508,509,632,633,634,636,637,638,639,641,642,644,645,646,648,649,650,789,
864,865,866,868,869,971,972,973,1096],[1,4,5,7,25,26,27,39,43,45,57,85,88,89,
165,174,177,211,284,391,525,976,1097],[1,2,3,4,7,14,16,18,19,20,22,24,30,41,
43,57,63,65,67,68,70,75,78,120,139,144,176,191,284,303,304,334,335,346,349,
524,550,551,977,1098],[1,3,6,7,16,18,20,28,32,41,68,91,111,138,144,219,329,
346,457,653,654,1099],[1,3,4,6,7,11,17,18,19,28,33,36,39,40,41,42,71,94,111,
130,131,134,144,147,164,179,233,234,237,280,326,347,415,477,485,653,657,742,
871,983,1100],[1,3,5,7,8,10,18,20,23,28,37,41,44,45,48,53,76,96,111,144,145,
146,150,158,167,180,240,247,248,281,350,356,418,491,497,653,667,764,872,982,
1101],[1,2,3,4,7,8,10,14,18,22,28,30,37,41,43,46,47,52,65,96,109,111,112,120,
144,145,146,154,157,180,240,245,246,272,304,354,418,420,421,491,496,653,669,
762,870,982,1102],[1,3,4,7,8,10,17,18,19,28,37,39,41,42,47,51,71,96,111,144,
145,146,153,155,164,180,240,243,244,280,347,352,357,418,491,495,653,668,760,
871,982,1103],[1,2,3,4,6,7,11,14,18,22,28,30,31,33,34,41,43,54,65,94,109,111,
112,120,122,131,132,144,147,179,215,234,235,272,304,308,414,415,416,448,477,
653,655,690,870,983,1104],[1,3,5,6,7,11,18,20,23,28,33,35,41,44,45,55,76,94,
111,129,131,133,144,147,167,179,231,234,236,281,324,350,361,415,477,482,653,
656,741,872,983,1105],[1,2,3,4,7,9,12,14,18,22,28,30,38,41,43,49,50,56,65,99,
109,111,112,120,144,148,149,160,162,181,241,254,255,272,304,362,419,423,424,
492,498,653,671,765,870,984,1106],[1,2,3,6,7,13,16,17,28,29,30,31,32,33,58,91,
111,114,115,127,130,138,139,179,213,214,217,280,287,328,415,442,462,654,657,
712,873,986,1107],[1,3,6,8,9,16,18,20,28,32,33,37,38,68,92,111,124,138,140,
141,145,150,180,216,223,281,329,332,418,450,487,654,667,745,874,985,1108],[1,
2,3,6,8,9,13,16,17,28,29,31,32,37,46,49,58,92,111,115,138,140,141,152,153,180,
216,224,225,280,328,336,340,418,451,487,654,668,747,873,985,1109],[1,2,3,4,6,
8,9,14,16,19,28,29,32,34,37,46,47,50,63,92,109,111,112,116,138,140,141,154,
155,180,216,225,226,272,302,337,418,420,421,452,487,654,669,748,875,985,
1110],[1,3,5,6,8,9,16,21,23,28,32,33,35,37,38,48,69,92,110,111,113,125,138,
140,141,156,158,180,216,223,227,276,330,338,341,417,418,422,453,487,654,663,
749,876,985,1111],[1,3,4,6,8,9,16,22,24,28,32,34,36,37,47,50,70,92,111,126,
138,140,141,157,159,180,216,226,228,282,331,339,342,418,454,487,654,670,750,
877,985,1112],[1,3,6,7,16,18,20,28,32,33,41,68,91,111,124,127,129,138,139,179,
217,219,281,311,329,334,415,455,462,654,656,711,874,986,1113],[1,2,3,4,6,7,14,
16,19,28,29,31,32,33,34,43,63,91,109,111,112,116,122,127,128,138,139,179,214,
217,221,272,302,306,414,415,416,446,462,654,655,689,875,986,1114],[1,2,3,4,6,
9,10,14,16,19,28,29,32,34,38,49,50,52,63,93,109,111,112,116,138,142,143,160,
161,181,218,229,230,272,302,343,419,423,424,456,488,654,671,751,875,987,
1115],[1,2,3,4,6,8,9,14,17,20,28,31,33,34,37,38,46,47,49,50,64,92,109,111,112,
122,129,130,150,153,154,160,179,180,181,223,224,226,272,280,281,307,366,414,
415,416,418,419,420,421,423,424,465,466,469,514,531,655,656,657,667,668,669,
671,722,795,796,797,878,896,988,989,990,1116],[1,2,3,6,8,9,13,16,17,28,31,37,
46,49,58,92,109,110,138,140,141,152,153,179,180,181,224,271,274,275,328,336,
340,414,417,420,423,487,511,531,658,659,660,661,662,747,795,879,882,885,991,
1117],[1,3,5,6,8,9,16,21,23,28,33,37,38,48,69,92,110,111,113,138,140,141,156,
158,179,180,181,223,274,276,278,330,338,341,415,417,418,419,422,487,516,531,
658,659,660,663,665,749,796,880,883,886,991,1118],[1,3,4,6,8,9,16,22,24,28,34,
37,47,50,70,92,110,112,138,140,141,157,159,179,180,181,226,274,277,279,331,
339,342,416,417,421,424,487,517,531,658,659,660,664,666,750,797,881,884,887,
991,1119],[1,2,3,4,5,7,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,30,39,41,
42,43,44,45,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,89,90,119,120,121,144,164,165,167,168,174,182,183,
184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,
203,204,205,206,207,208,209,210,211,212,288,304,305,346,347,348,349,350,389,
390,391,393,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,
441,535,536,537,551,552,578,579,603,604,675,676,677,678,679,680,681,800,825,
901,993,1002,1003,1120],[1,2,3,4,5,8,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,37,46,47,48,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,81,82,83,84,85,86,87,88,89,90,140,145,150,152,153,154,155,156,157,
158,159,169,170,171,172,182,183,184,185,186,187,188,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,332,
336,337,338,339,351,352,353,354,355,356,365,366,367,368,369,372,373,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,425,426,427,428,429,430,
431,432,433,434,435,436,437,438,439,440,441,563,564,565,567,568,569,570,571,
572,580,581,582,583,584,585,587,588,589,590,591,592,593,594,595,596,597,598,
599,600,601,602,675,676,677,678,679,680,681,807,808,809,810,811,812,813,819,
820,821,822,823,824,827,828,829,830,901,994,995,996,998,999,1000,1001,1121],[
1,2,3,4,5,6,7,11,13,14,15,18,19,20,23,24,25,29,30,31,32,33,34,35,36,39,40,41,
42,43,44,45,54,55,59,60,62,66,67,75,76,91,94,98,114,115,116,119,120,121,122,
123,124,133,134,135,136,137,164,165,166,167,168,185,213,214,215,217,219,220,
221,222,231,233,234,235,236,237,242,252,253,291,292,295,305,309,310,314,315,
397,442,443,444,445,446,447,448,449,455,457,458,459,460,461,482,483,485,486,
499,541,607,610,612,618,619,683,684,685,687,688,691,707,708,831,832,833,838,
840,846,847,848,851,905,1005,1006,1007,1008,1009,1017,1019,1122],[1,2,3,4,5,6,
7,8,9,10,11,12,13,14,15,18,21,22,29,30,31,32,33,34,35,36,37,38,39,40,44,46,47,
48,49,50,53,59,61,65,74,92,94,95,96,99,101,102,114,115,116,117,118,119,122,
123,124,125,126,131,132,144,145,146,147,148,149,152,154,156,157,160,162,169,
184,215,216,223,224,225,226,227,228,231,232,233,243,245,247,254,257,288,289,
290,292,294,296,297,304,308,313,348,351,353,354,358,362,372,399,447,450,451,
452,453,454,466,467,470,471,472,477,478,479,480,491,492,493,494,500,536,538,
580,622,623,624,682,690,693,695,696,699,700,701,702,727,730,759,761,762,765,
767,855,856,903,916,953,1010,1028,1029,1123],[1,3,5,6,7,8,9,10,11,12,16,18,20,
21,23,32,33,35,37,38,41,44,45,48,53,55,68,69,74,76,79,92,94,95,96,99,101,102,
124,125,127,129,131,133,135,140,142,144,145,146,147,148,149,150,151,156,158,
167,193,216,223,227,231,232,234,236,240,241,247,248,259,311,313,314,316,319,
320,324,332,333,338,346,348,350,353,356,358,361,369,399,450,453,463,465,471,
473,475,477,478,482,491,492,493,494,497,555,564,578,623,625,627,692,695,697,
699,700,703,706,718,725,739,741,757,758,761,764,769,855,859,914,920,950,1010,
1030,1032,1124],[1,3,4,5,6,7,8,9,10,11,12,17,18,19,21,22,24,25,32,33,34,35,36,
37,38,42,43,44,47,48,50,51,52,53,54,56,71,72,74,75,77,92,94,95,96,99,101,102,
124,125,126,128,130,131,134,136,137,144,145,146,147,148,149,153,155,156,157,
159,161,163,168,170,173,198,216,223,226,227,228,231,232,235,237,238,239,244,
246,247,255,258,260,312,313,315,317,318,322,326,347,348,349,352,353,355,357,
358,359,360,363,364,374,377,399,450,453,454,468,469,471,474,476,477,478,481,
483,484,491,492,493,494,503,556,579,582,586,623,626,628,694,695,698,699,700,
704,705,734,737,740,742,743,744,760,761,763,766,768,770,855,860,918,921,922,
955,1010,1031,1033,1125],[1,2,3,4,5,6,7,8,9,10,13,14,15,18,19,20,23,24,25,29,
30,31,32,33,34,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,53,59,60,62,66,67,
75,76,91,92,93,96,97,114,115,116,119,120,121,122,124,145,150,152,154,155,158,
159,160,164,165,167,168,169,170,173,185,213,214,216,217,218,219,220,221,222,
223,224,225,226,229,230,240,243,244,245,246,247,248,249,250,251,292,305,351,
355,356,365,367,373,376,396,442,443,444,445,446,450,451,452,455,456,457,458,
459,460,461,466,467,495,496,497,500,501,502,503,504,581,608,609,613,614,615,
616,617,683,684,685,687,688,693,707,708,771,834,835,836,837,841,842,843,844,
845,852,853,905,1011,1012,1013,1015,1016,1020,1021,1126],[1,2,3,4,5,6,7,8,9,
10,13,14,15,16,19,21,22,23,25,29,30,31,32,33,34,35,36,37,38,46,47,48,49,50,61,
63,66,69,77,91,92,93,96,97,114,115,117,118,122,123,125,126,127,128,133,134,
137,138,139,140,141,142,143,152,154,155,156,157,158,160,161,169,170,187,213,
214,216,217,218,223,224,225,226,227,228,229,245,296,298,299,302,303,306,309,
316,317,330,337,338,341,343,372,376,377,396,442,451,453,454,462,463,464,466,
467,468,470,473,474,479,480,481,487,488,489,490,543,544,568,608,613,615,686,
689,701,703,704,709,710,715,717,728,733,748,749,751,754,834,854,906,923,939,
1014,1023,1025,1127],[1,3,5,6,7,8,9,10,16,18,20,21,23,32,33,35,37,38,41,48,68,
69,74,76,79,91,92,93,96,97,124,125,127,129,131,133,135,138,139,140,141,142,
143,145,148,150,151,156,158,193,216,217,218,219,223,227,240,311,313,314,316,
319,320,324,329,330,332,333,334,338,341,353,356,369,396,450,453,455,462,463,
464,465,471,473,475,487,488,489,490,555,558,564,608,609,692,695,697,703,706,
709,710,711,713,718,725,745,746,749,753,835,854,914,927,935,1014,1022,1026,
1128],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,21,22,23,24,29,31,32,33,34,35,37,
38,43,46,47,48,49,50,52,58,61,62,69,70,72,73,91,92,93,96,97,114,116,118,122,
125,127,130,132,133,136,138,139,140,141,142,143,152,153,154,156,157,158,159,
160,162,163,169,183,214,216,217,218,221,223,224,225,226,227,229,230,246,250,
287,294,295,316,318,321,327,328,330,331,335,336,338,339,340,341,342,344,345,
372,373,374,375,396,446,452,453,456,462,463,464,466,467,469,472,473,476,480,
487,488,489,490,534,557,567,573,608,613,616,702,703,705,709,710,712,714,716,
719,720,721,731,738,747,749,750,752,755,756,836,854,925,928,929,938,1014,1024,
1027,1129],[1,2,3,4,6,7,8,9,10,13,14,16,17,18,19,20,29,31,32,33,34,37,38,41,
46,47,49,50,58,59,60,63,64,68,71,91,92,93,96,97,114,115,116,122,124,127,128,
129,130,138,139,140,141,142,143,145,150,152,153,154,155,160,161,182,214,216,
219,223,224,225,226,229,240,287,292,293,302,306,307,311,312,328,329,332,334,
336,337,340,343,351,352,365,366,396,445,450,451,452,462,463,464,465,466,467,
468,469,487,488,489,490,533,548,563,609,613,689,692,693,694,711,712,715,716,
720,722,723,745,747,748,751,753,841,854,909,913,934,1022,1023,1024,1130],[1,2,
3,4,6,7,8,9,10,14,16,18,19,20,22,24,29,30,32,33,34,36,37,38,41,43,46,47,50,52,
63,65,67,68,70,75,78,91,92,93,96,97,116,117,120,124,126,127,129,132,134,136,
138,139,140,141,142,143,145,150,154,155,157,159,162,163,191,213,216,219,221,
223,225,226,228,230,240,245,246,250,297,298,301,302,303,311,315,321,325,329,
331,332,334,335,337,339,342,344,345,354,355,367,368,396,443,450,452,454,462,
463,464,465,470,472,474,476,487,488,489,490,496,546,549,550,565,609,615,616,
686,692,696,698,711,714,717,719,721,724,726,745,748,750,752,753,754,755,756,
843,854,908,915,936,946,1022,1025,1027,1131],[1,2,3,4,6,7,8,9,10,14,16,18,19,
20,22,24,29,31,32,33,34,37,38,43,46,47,49,50,52,63,65,67,68,70,75,78,91,92,93,
96,97,116,122,127,128,131,132,135,136,138,139,140,141,142,143,145,148,150,151,
154,155,157,159,160,161,162,163,191,214,216,217,218,221,223,224,225,226,229,
230,246,250,302,306,308,310,320,321,322,323,329,331,332,333,335,337,339,342,
343,344,345,354,355,362,363,367,368,370,371,396,446,452,456,462,463,464,466,
468,471,472,475,476,487,488,489,490,549,553,565,566,608,613,616,689,713,714,
715,718,719,721,727,729,734,735,745,746,748,750,751,752,755,756,836,854,910,
930,936,937,1023,1026,1027,1132],[1,2,3,4,6,7,8,9,10,13,14,16,17,18,19,20,29,
30,31,32,33,36,37,38,46,47,49,58,59,60,63,64,68,71,91,92,93,96,97,114,115,117,
127,130,131,134,135,138,139,140,141,142,143,145,148,150,151,152,153,154,155,
182,213,214,216,217,218,223,224,225,228,229,245,287,289,291,298,300,302,303,
320,326,328,329,332,333,336,337,340,351,352,365,366,396,442,451,462,463,464,
467,469,470,471,474,475,487,488,489,490,532,548,563,608,613,615,686,712,713,
716,717,718,720,730,732,736,737,745,746,747,748,754,834,854,907,931,934,1024,
1025,1026,1133],[1,2,3,4,6,7,8,9,10,11,12,14,16,18,19,20,22,24,30,31,33,34,37,
38,41,43,46,47,49,50,52,54,56,63,65,67,68,70,75,78,92,94,95,96,99,101,102,120,
122,127,128,131,132,135,136,140,142,144,145,146,147,148,149,150,151,154,155,
157,159,160,161,162,163,191,215,223,224,226,234,235,238,240,241,245,246,254,
255,258,260,304,306,308,310,320,321,322,323,332,333,337,339,343,344,346,349,
354,355,359,360,362,363,364,367,368,370,371,399,448,463,466,468,471,472,475,
476,477,478,491,492,493,494,496,498,551,553,565,566,622,625,626,690,715,718,
719,727,729,734,735,739,740,743,757,758,762,763,765,766,768,770,855,857,911,
930,951,952,1028,1030,1031,1134],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,17,18,19,
20,22,23,25,30,31,33,34,35,36,37,38,42,45,46,47,48,49,50,51,55,64,65,66,71,73,
76,78,92,94,95,96,99,101,102,121,122,123,129,130,131,132,133,134,137,144,145,
146,147,148,149,150,153,154,155,157,158,160,162,169,170,192,215,223,224,226,
227,228,236,237,239,244,245,248,254,259,304,307,308,309,324,325,326,327,347,
350,352,354,356,357,361,362,366,368,375,376,399,449,465,466,469,471,472,473,
474,477,478,479,481,491,492,493,494,502,552,554,583,622,627,628,690,722,725,
726,727,728,737,738,741,742,744,760,762,764,765,769,855,858,912,932,956,1028,
1032,1033,1135],[1,2,3,4,6,7,8,9,10,11,12,13,14,16,17,18,19,20,29,33,36,37,38,
39,40,41,42,46,47,51,58,59,60,63,64,68,71,92,94,95,96,99,101,102,114,117,127,
130,131,134,135,140,142,144,145,146,147,148,149,150,151,152,153,154,155,164,
182,223,225,228,233,234,237,239,240,241,243,244,257,287,288,289,290,291,298,
300,320,326,332,333,336,337,346,347,351,352,357,365,366,399,463,467,469,470,
471,474,475,477,478,485,491,492,493,494,495,532,535,563,624,625,628,682,716,
717,718,730,732,736,737,739,742,744,757,758,759,760,767,855,861,902,931,949,
1029,1030,1033,1136],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,18,19,20,23,24,25,
29,33,34,35,36,37,38,39,40,43,45,46,47,48,50,52,54,55,56,59,60,62,66,67,75,76,
92,94,95,96,99,101,102,114,117,118,128,129,131,133,136,137,144,145,146,147,
148,149,150,152,154,155,158,159,161,163,165,166,169,170,185,223,225,226,227,
228,233,235,236,238,243,246,248,255,257,258,259,260,288,289,290,293,295,299,
301,322,324,349,350,351,355,356,359,360,361,363,364,365,367,373,376,399,465,
467,468,470,471,473,476,477,478,480,481,486,491,492,493,494,501,505,537,539,
540,581,624,626,627,682,723,724,725,730,731,733,734,740,741,743,759,763,764,
766,767,768,769,770,855,862,904,933,954,957,1029,1031,1032,1137],[1,3,5,6,7,8,
9,10,16,21,23,26,33,37,38,48,69,80,91,92,93,96,97,127,138,139,140,141,142,143,
156,158,171,174,175,194,223,330,338,341,378,396,462,463,464,487,488,489,490,
506,559,569,574,576,577,749,854,940,944,945,947,948,1138],[1,4,5,8,11,12,25,
27,40,47,48,54,55,56,85,89,90,101,105,106,166,170,172,212,257,258,259,267,268,
269,383,387,388,407,505,509,510,602,641,642,776,777,778,866,867,960,1035,1036,
1037,1139],[1,4,5,7,11,25,27,40,42,43,44,54,55,85,89,90,98,105,166,168,212,
242,252,253,267,268,393,403,499,509,510,604,636,637,638,776,777,778,865,960,
1038,1140],[1,4,5,10,11,12,25,27,40,51,52,53,54,55,56,85,89,90,104,105,106,
166,173,212,262,265,266,267,268,269,394,411,508,509,510,605,648,649,650,776,
777,778,869,960,1039,1141],[1,4,5,10,11,12,25,27,40,51,52,53,54,55,56,85,89,
90,103,105,106,166,173,212,261,263,264,267,268,269,395,409,507,509,510,606,
644,645,646,776,777,778,868,960,1040,1142],[1,2,3,4,5,6,13,14,15,16,17,18,19,
20,21,22,23,24,25,28,29,31,32,33,34,35,36,58,59,60,61,62,63,64,65,66,67,68,69,
70,71,72,73,74,75,76,77,78,79,109,110,111,112,113,114,115,116,117,118,122,123,
124,125,126,131,132,138,182,183,184,185,186,187,189,191,192,193,198,271,272,
273,276,277,280,281,282,289,292,294,296,297,302,308,313,328,329,330,331,425,
512,514,515,520,523,538,543,548,549,557,558,654,780,801,873,874,875,876,877,
1042,1043,1044,1045,1046,1143],[1,2,3,4,5,6,13,14,15,16,17,19,21,22,23,24,25,
26,28,29,31,32,33,34,35,36,58,61,62,63,66,69,70,72,73,77,80,81,84,110,111,113,
115,117,118,122,123,125,126,127,128,133,134,137,138,183,187,188,194,195,197,
199,274,276,278,280,282,296,298,299,306,309,316,317,328,330,331,426,516,520,
522,544,557,559,560,654,783,803,873,876,877,1043,1047,1048,1144],[1,2,3,4,5,6,
13,14,15,16,17,20,21,22,23,24,27,28,29,31,32,33,34,35,36,58,61,62,64,67,69,70,
72,73,79,81,82,110,111,113,115,117,118,122,123,125,126,129,130,135,136,138,
183,189,190,196,197,200,201,275,276,279,280,282,283,296,300,301,307,310,318,
319,328,330,331,427,518,520,521,545,557,561,562,654,784,804,873,876,877,1043,
1049,1050,1145],[1,3,5,6,16,18,20,21,23,26,27,28,32,33,35,68,69,74,76,79,80,
82,83,110,111,113,124,125,127,129,131,133,135,138,193,194,196,202,206,274,276,
278,281,283,311,313,314,316,319,320,324,329,330,431,516,521,523,555,558,559,
561,654,782,805,874,876,1044,1047,1049,1146],[1,3,4,5,6,16,17,18,19,20,21,22,
23,24,25,28,32,33,34,35,36,68,69,70,71,72,74,75,76,77,79,81,84,110,111,113,
124,125,126,128,130,131,134,136,137,138,193,195,197,198,201,203,205,275,276,
279,281,282,312,313,315,317,318,322,326,329,330,331,432,518,522,523,556,558,
560,562,654,785,806,874,876,877,1044,1048,1050,1147],[1,2,3,4,5,6,13,14,15,16,
17,19,21,22,23,24,25,26,28,29,32,33,34,35,58,61,62,63,66,69,70,72,73,77,80,81,
84,109,110,111,112,113,114,116,118,125,127,130,132,133,136,138,183,187,188,
194,195,197,199,271,272,273,274,275,276,277,278,279,287,294,295,302,316,318,
321,327,330,426,511,512,513,516,517,518,519,534,543,559,562,654,779,799,875,
876,1046,1047,1050,1148],[1,2,3,4,5,6,13,14,15,16,19,20,21,22,23,24,25,27,28,
29,32,33,34,35,36,60,61,63,66,69,70,77,78,79,81,82,84,85,109,110,111,112,113,
114,116,118,125,126,128,129,132,134,135,137,138,186,187,190,195,196,204,205,
271,272,273,276,277,282,283,291,293,294,302,317,319,323,325,330,331,429,512,
521,522,542,543,560,561,654,781,802,875,876,877,1046,1048,1049,1149],[1,2,3,4,
5,6,13,14,15,16,17,20,21,22,23,24,27,28,31,33,34,58,61,62,64,67,69,70,72,73,
79,81,82,109,110,111,112,113,122,129,130,138,179,183,189,190,196,197,200,201,
271,272,273,274,275,276,277,278,279,280,281,282,283,307,328,330,331,414,415,
416,427,511,512,513,514,515,516,517,518,519,520,521,522,523,557,561,562,655,
656,657,658,779,780,781,782,783,784,785,804,878,879,880,881,961,1051,1052,
1053,1150],[1,2,3,4,5,8,13,14,15,16,17,20,21,22,23,24,27,28,37,46,47,48,58,61,
62,64,67,69,70,72,73,79,81,82,109,110,111,112,113,140,150,152,153,154,156,157,
158,159,169,172,180,183,189,190,196,197,200,201,271,272,273,274,275,276,277,
278,279,280,281,282,283,336,338,339,366,367,369,372,373,374,375,379,380,417,
418,420,421,422,427,511,512,513,514,515,516,517,518,519,520,521,522,523,567,
571,572,588,591,593,595,659,661,662,663,664,665,666,667,668,669,670,672,673,
779,780,781,782,783,784,785,811,882,883,884,888,889,890,891,892,893,894,895,
896,897,961,1054,1055,1056,1058,1059,1060,1061,1151],[1,4,6,7,8,9,10,11,12,34,
40,43,47,50,52,54,56,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,221,226,230,235,238,246,250,252,255,256,257,258,260,263,265,267,269,
396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,616,618,
621,626,629,633,635,636,641,644,648,786,787,788,789,790,791,792,965,967,971,
975,1062,1152],[1,4,6,7,8,9,10,11,12,36,39,40,42,47,51,54,56,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,105,106,107,108,220,228,233,237,239,242,243,
244,249,257,258,261,262,267,269,396,397,398,399,400,401,402,403,404,405,406,
407,408,409,410,411,412,612,614,624,628,630,632,637,639,641,645,649,786,787,
788,789,790,791,792,964,968,970,972,1062,1153],[1,5,6,7,8,9,10,11,12,35,44,45,
48,53,55,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,222,
227,231,232,236,247,248,251,253,259,264,266,268,270,396,397,398,399,400,401,
402,403,404,405,406,407,408,409,410,411,412,617,619,623,627,631,634,638,640,
642,643,646,647,650,651,786,787,788,789,790,791,792,966,969,973,974,1062,
1154],[1,5,11,26,55,57,86,107,178,270,652,1155],[1,5,7,8,10,26,27,45,48,57,88,
96,171,172,174,175,248,284,285,286,386,391,506,674,774,976,1156],[1,3,7,8,10,
16,18,20,37,41,57,68,96,139,140,143,144,145,146,150,240,284,285,286,332,334,
346,489,491,674,753,757,977,1157],[1,5,7,8,10,26,44,48,53,57,86,96,171,174,
175,247,284,285,286,384,390,392,506,652,674,773,978,979,980,981,1158],[1,3,6,
7,8,9,10,11,12,18,28,33,37,38,41,92,94,95,96,99,101,102,111,131,144,145,146,
147,148,149,179,180,181,223,234,240,241,399,415,418,419,471,477,478,491,492,
493,494,531,625,653,796,855,982,983,984,1159],[1,3,6,7,8,9,10,16,28,32,33,37,
38,91,92,93,96,97,111,127,138,139,140,141,142,143,179,180,181,216,217,218,223,
396,415,418,419,462,463,464,487,488,489,490,531,608,654,796,854,985,986,987,
1160],[1,2,3,4,5,6,7,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,31,32,33,
34,41,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,91,114,115,116,122,124,127,128,129,130,138,139,174,182,183,184,
185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,
204,205,206,214,219,287,292,293,302,306,307,311,312,328,329,330,331,334,389,
425,426,427,428,429,430,431,432,434,445,462,533,543,548,549,557,558,559,560,
561,562,576,675,689,711,712,799,801,802,803,804,805,806,815,909,944,992,1067,
1075,1161],[1,2,3,4,5,6,8,9,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,
31,32,33,34,37,38,46,47,48,49,50,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,81,82,83,84,85,92,114,115,116,122,124,127,128,129,130,
138,140,141,142,145,150,152,153,154,155,156,157,158,159,160,161,169,170,171,
172,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,
200,201,202,203,204,205,206,216,223,224,225,226,287,292,293,302,306,307,311,
312,328,329,330,331,332,336,337,338,339,340,341,342,343,351,352,353,354,355,
356,365,366,367,368,369,372,373,374,375,376,377,378,379,380,381,382,383,425,
426,427,428,429,430,431,432,434,450,451,452,463,465,466,467,468,469,487,533,
543,548,549,557,558,559,560,561,562,563,564,565,567,568,569,570,571,572,573,
574,575,580,581,582,583,584,585,587,588,589,590,591,592,593,594,595,596,675,
692,693,694,715,716,722,723,745,747,748,749,750,799,801,802,803,804,805,806,
807,808,809,810,811,812,814,819,820,827,913,934,935,936,938,939,940,941,942,
943,992,994,1068,1069,1070,1071,1072,1073,1074,1162],[1,3,5,6,7,16,18,20,21,
23,26,27,32,33,41,44,45,68,69,74,76,79,80,82,83,86,87,88,90,91,124,127,129,
138,139,167,174,193,194,196,202,206,207,208,209,219,222,311,329,330,334,389,
390,391,431,433,436,437,441,459,462,558,559,561,576,603,678,711,805,815,816,
817,944,997,1075,1076,1163],[1,3,5,6,7,16,18,20,21,23,24,26,27,32,33,41,68,69,
74,76,79,80,81,82,83,89,91,124,127,129,138,139,174,193,194,196,202,203,206,
210,219,311,329,330,334,389,431,438,439,460,462,558,559,561,576,679,711,805,
815,944,1075,1164],[1,3,5,7,8,10,16,18,20,21,23,26,27,37,41,44,45,48,53,68,69,
74,76,79,80,82,83,86,87,88,90,96,139,140,143,145,150,156,158,167,171,172,174,
175,193,194,196,202,206,207,208,209,240,247,248,332,334,338,353,356,369,378,
380,381,384,385,386,388,389,390,391,392,431,433,436,437,441,489,497,506,564,
569,571,576,577,584,590,597,598,599,603,678,753,772,773,774,808,813,815,816,
817,818,821,822,828,947,958,995,997,1078,1079,1080,1165],[1,2,3,4,5,7,8,10,13,
14,15,18,21,22,23,24,26,27,30,37,39,44,46,47,48,53,59,61,62,65,74,80,81,82,83,
84,86,87,88,90,96,119,144,145,146,152,154,156,157,158,159,169,171,172,174,175,
184,188,190,202,203,207,209,243,245,247,288,304,348,351,353,354,358,372,373,
378,379,380,381,382,384,385,386,388,390,392,393,394,395,428,436,439,491,500,
506,536,580,584,585,592,593,597,599,676,759,761,762,773,775,819,821,824,825,
826,953,993,998,1083,1166],[1,3,5,7,8,10,16,18,20,21,23,26,27,37,41,44,45,48,
53,68,69,74,76,79,80,82,83,86,87,88,90,96,140,144,145,146,150,156,158,167,171,
172,174,175,193,194,196,202,206,207,208,209,240,247,248,332,338,346,348,350,
353,356,358,369,378,380,381,384,385,386,388,389,390,391,392,393,394,395,431,
433,436,437,441,491,497,506,564,569,571,578,584,590,597,598,599,603,678,757,
761,764,772,773,774,775,808,813,821,822,825,826,828,950,958,995,1002,1083,
1167],[1,3,4,5,7,8,10,17,18,19,21,22,23,24,25,26,27,37,42,43,44,47,48,51,52,
53,71,72,73,74,75,77,80,82,83,84,85,86,87,88,89,90,96,144,145,146,153,155,156,
157,158,159,168,170,171,172,173,174,175,198,199,200,202,204,207,209,210,211,
212,244,246,247,347,348,349,352,353,355,357,358,359,374,375,377,378,380,381,
382,383,384,385,386,387,388,390,392,393,394,395,434,435,436,438,440,491,503,
506,579,582,584,586,594,595,596,597,599,600,601,602,604,605,606,680,760,761,
763,773,775,820,821,823,825,826,829,830,955,959,1000,1003,1004,1083,1168],[1,
2,3,4,6,7,11,13,14,18,29,30,31,32,33,34,40,41,43,54,59,91,94,98,105,107,114,
115,116,120,122,124,147,213,214,215,217,219,221,234,235,252,267,290,292,397,
403,406,442,443,445,446,448,455,607,610,618,636,683,787,831,832,846,967,1006,
1091,1169],[1,2,3,4,6,7,8,9,10,11,12,13,19,20,29,30,31,32,33,36,37,38,39,40,
41,42,46,47,49,51,60,91,92,93,94,95,96,97,98,99,100,101,102,103,104,114,115,
134,135,150,151,152,155,164,213,214,215,216,217,218,219,220,223,224,225,228,
229,233,234,237,239,240,241,242,243,244,245,249,254,257,261,262,291,365,396,
397,398,399,400,401,402,442,445,451,457,458,467,474,475,485,495,607,608,609,
610,611,612,613,614,615,620,622,624,625,628,630,632,687,732,786,831,834,837,
838,839,840,841,842,861,962,963,964,1005,1015,1084,1085,1086,1170],[1,3,5,6,7,
8,9,10,11,12,18,20,23,32,33,35,37,38,41,44,45,48,53,55,76,91,92,93,94,95,96,
97,98,99,100,101,102,103,104,124,133,135,145,150,151,158,167,216,217,218,219,
222,223,227,231,232,234,236,240,241,247,248,251,253,259,264,266,314,356,396,
397,398,399,400,401,402,450,455,457,459,473,475,482,497,608,609,610,611,617,
619,623,625,627,631,634,697,708,786,835,837,838,839,844,846,847,859,962,966,
1013,1017,1084,1087,1089,1171],[1,2,3,4,6,7,8,9,10,11,12,14,20,24,29,30,31,32,
33,34,37,38,41,43,46,47,49,50,52,54,56,67,91,92,93,94,95,96,97,98,99,100,101,
102,103,104,116,120,122,135,136,150,151,154,159,160,163,213,214,215,216,217,
218,219,221,223,224,225,226,229,230,234,235,238,240,241,245,246,250,252,254,
255,256,258,260,263,265,310,367,370,396,397,398,399,400,401,402,443,446,448,
452,456,457,460,466,475,476,496,498,607,608,609,610,611,613,615,616,618,620,
621,622,625,626,629,633,635,685,729,786,832,836,837,838,839,843,845,848,849,
850,857,962,963,965,1009,1016,1018,1084,1088,1090,1172],[1,2,3,4,6,7,8,9,10,
11,12,13,14,18,29,30,31,32,33,34,37,38,41,43,46,47,49,50,52,54,56,59,91,92,93,
94,95,96,97,98,99,100,101,102,103,104,114,115,116,120,122,124,145,152,154,160,
213,214,215,216,217,218,219,221,223,224,225,226,229,230,234,235,238,240,241,
245,246,250,252,254,255,256,258,260,263,265,292,351,396,397,398,399,400,401,
402,442,443,445,446,448,450,451,452,455,456,466,467,496,498,607,608,609,610,
611,613,615,616,618,620,621,622,625,626,629,633,635,683,693,786,831,832,834,
835,836,841,843,846,849,857,962,963,965,1006,1011,1085,1087,1088,1173],[1,2,3,
5,6,7,8,9,10,11,12,13,23,24,29,30,31,32,33,35,37,38,41,44,45,46,48,49,53,55,
62,91,92,93,94,95,96,97,98,99,100,101,102,103,104,114,115,133,136,152,158,159,
163,167,213,214,215,216,217,218,219,222,223,224,225,227,229,231,232,234,236,
240,241,245,247,248,251,253,254,259,264,266,295,373,396,397,398,399,400,401,
402,442,445,451,459,460,467,473,476,482,497,607,608,609,610,611,613,615,617,
619,620,622,623,625,627,631,634,688,731,786,831,834,841,844,845,847,848,850,
859,962,963,966,1007,1020,1085,1089,1090,1174],[1,3,4,6,7,8,9,10,11,12,18,19,
24,32,33,36,37,38,39,40,41,42,47,51,75,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,124,134,136,145,155,159,163,164,216,217,218,219,220,223,228,233,234,
237,239,240,241,242,243,244,249,257,261,262,315,355,396,397,398,399,400,401,
402,450,455,458,460,474,476,485,495,608,609,610,611,612,614,624,625,628,630,
632,698,707,786,835,840,842,845,846,848,850,861,962,964,1012,1019,1086,1087,
1090,1175],[1,2,3,4,5,6,7,8,9,10,11,12,14,15,19,23,25,29,30,31,32,33,34,35,36,
37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,66,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,116,119,120,121,122,123,133,134,137,154,155,
158,160,164,165,166,167,168,169,170,173,213,214,215,216,217,218,219,220,221,
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,
260,261,262,263,264,265,266,305,309,376,396,397,398,399,400,401,402,443,444,
446,447,448,449,452,456,458,459,461,466,473,474,479,481,482,483,484,485,486,
495,496,497,498,499,500,501,502,503,504,505,507,508,607,608,609,610,611,612,
613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,
632,633,634,635,684,691,728,771,786,832,833,836,840,842,843,844,847,849,851,
852,853,856,857,858,859,860,861,862,863,864,962,963,964,965,966,1008,1021,
1034,1086,1088,1089,1093,1094,1176],[1,3,5,6,7,11,18,20,23,32,33,35,41,44,45,
55,76,91,94,98,105,107,124,133,135,147,167,217,219,222,231,234,236,253,268,
270,314,361,397,403,406,455,457,459,482,610,619,638,640,708,787,838,846,847,
969,1017,1091,1177],[1,3,4,6,7,11,18,19,24,32,33,36,39,40,41,42,54,75,91,94,
98,105,107,124,134,136,147,164,217,219,220,233,234,237,242,267,315,360,397,
403,406,455,458,460,485,610,612,637,707,787,840,846,848,968,1019,1091,1178],[
1,3,4,6,7,11,12,18,19,24,32,33,36,39,40,41,42,56,75,91,94,98,106,108,124,134,
136,149,164,217,219,220,233,234,237,242,269,315,364,397,404,405,455,458,460,
485,610,612,639,707,788,840,846,848,970,1019,1092,1179],[1,5,7,8,10,11,12,27,
44,48,53,55,90,96,98,100,101,103,104,105,106,172,247,253,259,264,266,268,388,
393,394,395,401,403,404,407,409,411,510,634,638,642,646,650,775,778,789,867,
973,1037,1038,1039,1040,1180],[1,2,3,4,6,7,14,16,18,19,20,22,24,28,29,30,32,
34,41,43,63,65,67,68,70,75,78,91,109,111,112,116,120,138,144,191,213,219,221,
272,302,304,329,331,346,349,443,457,460,549,551,653,654,685,870,875,1099,
1181],[1,2,3,4,6,7,13,14,16,17,18,19,20,28,29,31,32,39,41,42,58,59,60,63,64,
68,71,91,111,115,138,144,164,182,214,219,220,280,288,302,328,329,346,347,445,
457,458,535,548,653,654,687,871,873,1099,1182],[1,3,5,6,7,16,18,20,21,23,28,
32,33,41,44,45,68,69,74,76,79,91,111,124,138,144,167,193,217,219,222,281,329,
330,346,348,350,455,457,459,558,578,653,654,708,872,874,1099,1183],[1,2,3,4,5,
6,7,11,14,15,17,18,19,20,22,23,25,28,30,31,33,34,35,36,39,40,41,42,43,44,45,
54,55,64,65,66,71,73,76,78,94,109,111,112,119,120,121,122,123,129,130,131,132,
133,134,137,144,147,164,165,166,167,168,179,192,215,231,233,234,235,236,237,
272,280,281,304,305,307,308,309,324,325,326,327,347,350,361,414,415,416,447,
448,449,477,482,483,485,486,514,552,554,653,655,656,657,690,691,741,742,870,
871,872,878,912,983,1041,1100,1104,1105,1184],[1,2,3,4,5,7,8,10,14,15,17,18,
19,20,22,23,25,28,30,37,39,41,42,43,44,45,46,47,48,51,52,53,64,65,66,71,73,76,
78,96,109,111,112,119,120,121,144,145,146,150,153,154,155,157,158,164,165,167,
168,169,170,173,180,192,240,243,244,245,246,247,248,272,280,281,304,305,347,
350,352,354,356,357,366,368,375,376,418,420,421,491,495,496,497,500,501,502,
503,514,552,583,653,667,668,669,760,762,764,771,870,871,872,896,956,982,1041,
1101,1102,1103,1185],[1,2,3,4,6,7,13,14,16,17,18,19,20,28,29,30,31,32,33,34,
41,43,58,59,60,63,64,68,71,91,109,111,112,114,115,116,120,122,124,127,128,129,
130,138,139,179,182,213,214,217,219,221,272,280,281,287,292,293,302,306,307,
311,312,328,329,334,414,415,416,442,443,445,446,455,462,514,533,548,654,655,
656,657,683,689,711,712,873,874,875,878,909,986,1042,1107,1113,1114,1186],[1,
2,3,4,6,8,9,13,14,16,17,18,19,20,28,29,31,32,33,34,37,38,46,47,49,50,58,59,60,
63,64,68,71,92,109,111,112,114,115,116,122,124,138,140,141,145,150,152,153,
154,155,160,180,182,216,223,224,225,226,272,280,281,292,302,328,329,332,336,
337,340,351,352,365,366,418,420,421,450,451,452,466,467,487,514,548,563,654,
667,668,669,693,745,747,748,873,874,875,896,934,985,1042,1108,1109,1110,
1187],[1,3,5,6,8,9,16,18,20,21,23,28,32,33,35,37,38,48,68,69,74,76,79,92,110,
111,113,124,125,131,138,140,141,145,148,150,156,158,180,193,216,223,227,276,
281,313,329,330,332,338,341,353,356,369,417,418,422,450,453,471,487,523,558,
564,654,663,667,695,745,749,874,876,895,935,985,1044,1108,1111,1188],[1,2,3,4,
6,8,9,14,16,18,19,20,22,24,28,29,32,33,34,36,37,38,46,47,50,63,65,67,68,70,75,
78,92,109,111,112,116,117,124,126,132,138,140,141,145,150,154,155,157,159,162,
180,191,216,223,225,226,228,272,281,282,297,302,329,331,332,337,339,342,354,
355,367,368,418,420,421,450,452,454,470,472,487,515,549,565,654,667,669,670,
696,745,748,750,874,875,877,897,936,985,1045,1108,1110,1112,1189],[1,2,3,4,5,
6,8,9,13,14,15,16,17,21,22,23,24,28,29,31,32,33,34,35,36,37,38,46,47,48,49,50,
58,61,62,69,70,72,73,92,110,111,113,115,117,118,122,123,125,126,138,140,141,
152,153,154,156,157,158,159,160,169,180,183,216,223,224,225,226,227,228,276,
280,282,296,328,330,331,336,338,339,340,341,342,372,373,374,375,417,418,422,
451,453,454,466,470,479,480,487,520,557,567,573,654,663,668,670,701,747,749,
750,873,876,877,892,938,985,1043,1109,1111,1112,1190],[1,2,3,4,5,6,8,9,13,14,
15,16,19,21,22,23,25,28,29,32,33,34,35,37,38,46,47,48,50,61,63,66,69,77,92,
109,110,111,112,113,114,116,118,125,132,138,140,141,152,154,155,156,157,158,
162,169,170,180,187,216,223,225,226,227,271,272,273,276,277,294,302,330,337,
338,341,372,376,377,417,418,420,421,422,452,453,467,472,480,487,512,543,568,
654,661,663,664,669,672,702,748,749,875,876,888,939,985,1046,1110,1111,1191],[
1,3,5,6,8,9,16,21,23,26,28,32,33,35,37,38,48,69,80,92,110,111,113,125,127,133,
138,140,141,142,156,158,171,180,194,216,223,227,274,276,278,316,330,338,341,
378,417,418,422,453,463,473,487,516,559,569,574,654,659,663,665,703,749,876,
883,940,985,1047,1111,1192],[1,3,4,5,6,8,9,16,19,21,22,23,24,25,28,32,33,34,
35,36,37,38,47,48,50,69,70,77,81,84,92,110,111,113,125,126,128,134,137,138,
140,141,155,156,157,158,159,161,170,180,195,216,223,226,227,228,276,282,317,
330,331,338,339,341,342,377,379,382,417,418,422,453,454,468,474,481,487,522,
560,570,575,654,663,670,704,749,750,876,877,894,941,985,1048,1111,1112,1193],[
1,3,5,6,8,9,16,20,21,23,27,28,32,33,35,37,38,48,69,79,82,92,110,111,113,125,
129,135,138,140,141,150,151,156,158,172,180,196,216,223,227,276,283,319,330,
338,341,369,380,417,418,422,453,465,475,487,521,561,571,654,663,673,706,749,
876,893,942,985,1049,1111,1194],[1,3,5,6,8,9,16,17,21,23,24,28,32,33,35,37,38,
48,69,72,81,92,110,111,113,125,130,136,138,140,141,153,156,158,159,163,180,
197,216,223,227,275,276,279,318,330,338,341,374,379,417,418,422,453,469,476,
487,518,562,572,654,662,663,666,705,749,876,890,943,985,1050,1111,1195],[1,3,
5,6,7,16,21,23,26,28,32,33,35,69,80,91,110,111,113,125,127,133,138,139,174,
179,194,217,274,276,278,316,330,415,462,516,559,576,654,658,709,876,880,944,
986,1047,1196],[1,3,5,6,9,10,16,21,23,26,28,32,33,35,38,69,80,93,110,111,113,
125,127,133,138,141,142,143,175,181,194,218,274,276,278,316,330,341,419,464,
488,516,559,574,577,654,660,710,876,886,945,987,1047,1197],[1,2,3,4,5,6,8,9,
13,14,15,16,17,21,22,23,24,28,31,33,34,37,38,46,47,48,49,50,58,61,62,69,70,72,
73,92,109,110,111,112,113,122,138,140,141,152,153,154,156,157,158,159,160,169,
179,180,181,183,223,224,226,271,272,273,274,275,276,277,278,279,328,330,331,
336,338,339,340,341,342,372,373,374,375,414,415,416,417,418,419,420,421,422,
423,424,466,487,511,512,513,516,517,518,519,531,557,567,573,655,658,659,660,
661,662,663,664,665,666,669,671,672,747,749,750,779,795,796,797,879,880,881,
882,883,884,885,886,887,888,889,890,891,938,988,991,1051,1054,1057,1117,1118,
1119,1198],[1,3,5,6,8,9,16,20,21,23,27,28,33,37,38,48,69,79,82,92,110,111,113,
129,138,140,141,150,156,158,172,179,180,181,196,223,274,276,278,281,283,330,
338,341,369,380,415,417,418,419,422,465,487,516,521,523,531,561,571,656,658,
659,660,663,665,667,673,749,782,796,880,883,886,893,895,942,989,991,1052,1055,
1118,1199],[1,3,5,6,8,9,16,17,21,23,24,28,33,37,38,48,69,72,81,92,110,111,113,
130,138,140,141,153,156,158,159,179,180,181,197,223,274,276,278,280,282,330,
338,341,374,379,415,417,418,419,422,469,487,516,520,522,531,562,572,657,658,
659,660,663,665,668,670,749,783,796,880,883,886,892,894,943,990,991,1053,1056,
1118,1200],[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,
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,
55,56,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,92,94,
95,96,99,101,102,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,140,142,144,145,146,147,148,149,150,151,
152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,
173,182,183,184,185,186,187,189,191,192,193,198,215,216,223,224,225,226,227,
228,231,232,233,234,235,236,237,238,239,240,241,243,244,245,246,247,248,254,
255,257,258,259,260,287,288,289,290,291,292,293,294,295,296,297,298,299,300,
301,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,332,333,336,337,338,339,343,344,346,347,348,349,350,
351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,
370,371,372,373,374,375,376,377,399,425,447,448,449,450,451,452,453,454,463,
465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,
484,485,486,491,492,493,494,495,496,497,498,500,501,502,503,505,532,533,534,
535,536,537,538,539,540,541,542,544,545,546,547,551,552,553,554,555,556,563,
564,565,566,567,568,578,579,580,581,582,583,586,587,588,622,623,624,625,626,
627,628,682,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,
706,715,716,717,718,719,722,723,724,725,726,727,728,729,730,731,732,733,734,
735,736,737,738,739,740,741,742,743,744,757,758,759,760,761,762,763,764,765,
766,767,768,769,770,771,798,800,807,855,856,857,858,859,860,861,862,902,903,
904,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,930,931,
932,933,949,950,951,952,953,954,955,956,957,1010,1028,1029,1030,1031,1032,
1033,1034,1064,1066,1082,1123,1124,1125,1134,1135,1136,1137,1201],[1,2,3,4,5,
6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,24,25,29,30,31,32,33,34,35,36,37,
38,41,43,46,47,48,49,50,52,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,91,92,93,96,97,114,115,116,117,118,120,122,123,124,125,126,127,
128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,145,148,150,
151,152,153,154,155,156,157,158,159,160,161,162,163,169,170,182,183,184,185,
186,187,189,191,192,193,198,213,214,216,217,218,219,221,223,224,225,226,227,
228,229,230,240,245,246,250,287,289,291,292,293,294,295,296,297,298,299,300,
301,302,303,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,
341,342,343,344,345,351,352,353,354,355,356,362,363,365,366,367,368,369,370,
371,372,373,374,375,376,377,396,425,442,443,445,446,450,451,452,453,454,455,
456,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,479,480,481,
487,488,489,490,496,532,533,534,538,539,541,542,543,544,545,546,547,548,549,
550,553,554,555,556,557,558,563,564,565,566,567,568,573,580,581,582,583,587,
588,608,609,613,615,616,683,686,689,692,693,694,695,696,697,698,701,702,703,
704,705,706,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,
725,726,727,728,729,730,731,732,733,734,735,736,737,738,745,746,747,748,749,
750,751,752,753,754,755,756,798,801,807,834,835,836,841,843,854,906,907,908,
909,910,913,914,915,916,917,918,919,923,924,925,926,927,928,929,930,931,932,
933,934,935,936,937,938,939,946,1011,1014,1022,1023,1024,1025,1026,1027,1065,
1066,1068,1127,1128,1129,1130,1131,1132,1133,1202],[1,2,3,4,5,6,7,8,9,10,13,
14,15,16,17,19,21,22,23,24,25,26,29,31,33,34,37,38,46,47,48,49,50,58,61,62,63,
66,69,70,72,73,77,80,81,84,91,92,93,96,97,114,122,127,128,130,138,139,140,141,
142,143,152,153,154,155,156,157,158,159,160,161,169,170,171,174,175,183,187,
188,194,195,197,199,214,223,224,225,226,229,287,302,306,328,330,331,336,337,
338,339,340,341,342,343,372,373,374,375,376,377,378,379,382,396,426,462,463,
464,466,467,468,469,487,488,489,490,506,543,557,559,560,562,567,568,569,570,
572,573,574,575,576,577,592,594,613,689,712,715,716,720,747,748,749,750,751,
799,803,810,814,854,938,939,940,941,943,944,945,947,948,1023,1024,1067,1071,
1073,1077,1138,1203],[1,3,5,6,7,8,9,10,16,18,20,21,23,26,27,32,33,37,38,41,48,
68,69,74,76,79,80,82,83,91,92,93,96,97,124,127,129,138,139,140,141,142,143,
145,150,156,158,171,172,174,175,193,194,196,202,206,216,219,223,240,311,329,
330,332,334,338,341,353,356,369,378,380,381,389,396,431,450,462,463,464,465,
487,488,489,490,506,558,559,561,564,569,571,574,576,577,584,590,609,692,711,
745,749,753,772,805,808,815,854,935,940,942,944,945,947,948,1022,1069,1075,
1078,1138,1204],[1,3,5,6,7,8,9,10,16,21,23,26,27,33,37,38,44,45,48,53,69,80,
83,86,87,88,91,92,93,96,97,127,138,139,140,141,142,143,156,158,171,172,174,
175,194,207,208,222,223,247,248,251,330,338,341,378,381,384,385,386,390,391,
392,396,433,462,463,464,487,488,489,490,506,559,569,574,576,577,597,598,617,
749,773,774,813,816,817,818,854,940,944,945,947,948,1076,1079,1080,1081,1138,
1205],[1,2,3,4,5,6,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,31,32,
33,34,35,36,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,109,110,111,112,113,114,115,116,117,118,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,182,183,184,185,186,187,188,
189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,271,
272,273,274,275,276,277,278,279,280,281,282,283,287,289,291,292,293,294,295,
296,297,298,299,300,301,302,306,307,308,309,310,311,312,313,314,315,316,317,
318,319,320,321,322,323,324,325,326,327,328,329,330,331,425,426,427,428,429,
430,431,432,434,511,512,513,514,515,516,517,518,519,520,521,522,523,532,533,
534,538,539,541,542,543,544,545,546,547,548,549,553,554,555,556,557,558,559,
560,561,562,654,675,779,780,781,782,783,784,785,798,799,801,802,803,804,805,
806,873,874,875,876,877,961,992,1042,1043,1044,1045,1046,1047,1048,1049,1050,
1143,1144,1145,1146,1147,1148,1149,1206],[1,3,6,7,8,9,10,11,12,18,32,33,37,38,
41,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,124,145,147,
149,216,217,218,219,223,234,240,241,396,397,398,399,400,401,402,403,404,405,
406,407,408,409,410,411,412,450,455,493,608,609,610,611,625,786,787,788,789,
790,791,792,835,846,962,1062,1087,1091,1092,1207],[1,4,5,6,7,8,9,10,11,12,25,
34,35,36,39,40,42,43,44,45,47,48,50,51,52,53,54,55,56,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,108,137,165,166,168,170,173,220,221,222,
226,227,228,230,231,232,233,235,236,237,238,239,242,243,244,246,247,248,249,
250,251,252,253,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,
270,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,461,
481,483,484,486,499,501,503,504,505,507,508,509,612,614,616,617,618,619,621,
623,624,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,
643,644,645,646,647,648,649,650,651,786,787,788,789,790,791,792,851,853,860,
862,863,864,865,866,868,869,964,965,966,967,968,969,970,971,972,973,974,975,
1062,1094,1095,1096,1152,1153,1154,1208],[1,4,5,7,8,10,25,26,27,39,43,45,47,
48,52,57,85,88,89,96,165,170,171,172,174,175,177,211,243,246,248,284,285,286,
383,386,387,391,501,506,525,527,601,674,774,898,976,1097,1156,1209],[1,2,3,4,
7,8,10,14,16,18,19,20,22,24,30,37,41,43,46,47,52,57,63,65,67,68,70,75,78,96,
120,139,140,143,144,145,146,150,154,155,157,159,176,191,240,245,246,284,285,
286,303,304,332,334,335,337,339,345,346,349,354,355,359,367,368,489,491,496,
524,528,550,551,565,674,753,754,755,757,762,763,899,946,951,977,1098,1157,
1210],[1,3,6,7,8,9,10,16,18,20,28,32,37,41,68,91,92,93,96,97,111,138,140,141,
144,145,146,150,180,216,219,240,329,332,346,396,418,457,487,491,609,653,654,
745,757,837,982,985,1099,1211],[1,3,6,7,11,16,18,20,28,32,33,41,68,91,94,98,
111,127,131,135,138,139,144,147,179,217,219,234,320,329,346,397,415,457,462,
477,610,653,654,713,739,838,983,986,1099,1212],[1,3,6,7,9,10,12,16,18,20,28,
32,38,41,68,91,93,95,99,100,111,138,142,143,144,148,149,151,181,218,219,241,
329,333,346,398,419,457,488,492,611,653,654,746,758,839,984,987,1099,1213],[1,
3,4,6,7,8,9,10,11,12,17,18,19,28,33,36,37,38,39,40,41,42,47,51,71,92,94,95,96,
99,101,102,111,130,131,134,144,145,146,147,148,149,153,155,164,179,180,181,
223,228,233,234,237,239,240,241,243,244,257,280,326,347,352,357,399,415,418,
419,469,471,474,477,478,485,491,492,493,494,495,531,624,625,628,653,657,668,
737,742,744,760,796,855,861,871,982,983,984,990,1033,1100,1103,1159,1214],[1,
2,3,4,6,7,8,9,10,11,12,14,18,22,28,30,31,33,34,37,38,41,43,46,47,49,50,52,54,
56,65,92,94,95,96,99,101,102,109,111,112,120,122,131,132,144,145,146,147,148,
149,154,157,160,162,179,180,181,215,223,224,226,234,235,238,240,241,245,246,
254,255,258,260,272,304,308,354,362,399,414,415,416,418,419,420,421,423,424,
448,466,471,472,477,478,491,492,493,494,496,498,531,622,625,626,653,655,669,
671,690,727,762,765,795,796,797,855,857,870,982,983,984,988,1028,1102,1104,
1106,1159,1215],[1,3,5,6,7,8,9,10,11,12,18,20,23,28,33,35,37,38,41,44,45,48,
53,55,76,92,94,95,96,99,101,102,111,129,131,133,144,145,146,147,148,149,150,
158,167,179,180,181,223,227,231,232,234,236,240,241,247,248,259,281,324,350,
356,361,399,415,418,419,465,471,473,477,478,482,491,492,493,494,497,531,623,
625,627,653,656,667,725,741,764,769,796,855,859,872,982,983,984,989,1032,1101,
1105,1159,1216],[1,2,3,6,7,8,9,10,13,16,17,28,29,30,31,32,33,37,38,46,49,58,
91,92,93,96,97,111,114,115,127,130,138,139,140,141,142,143,152,153,179,180,
181,213,214,216,217,218,223,224,225,229,245,280,287,328,336,340,396,415,418,
419,442,451,462,463,464,467,469,487,488,489,490,531,608,613,615,654,657,668,
712,716,720,747,796,834,854,873,985,986,987,990,1024,1107,1109,1160,1217],[1,
3,6,7,8,9,10,16,18,20,28,32,33,37,38,41,68,91,92,93,96,97,111,124,127,129,138,
139,140,141,142,143,145,150,179,180,181,216,217,218,219,223,240,281,311,329,
332,334,396,415,418,419,450,455,462,463,464,465,487,488,489,490,531,608,609,
654,656,667,692,711,745,753,796,835,854,874,985,986,987,989,1022,1108,1113,
1160,1218],[1,2,3,4,6,7,8,9,10,14,16,19,28,29,31,32,33,34,37,38,43,46,47,49,
50,52,63,91,92,93,96,97,109,111,112,116,122,127,128,138,139,140,141,142,143,
154,155,160,161,179,180,181,214,216,217,218,221,223,224,225,226,229,230,246,
250,272,302,306,337,343,396,414,415,416,418,419,420,421,423,424,446,452,456,
462,463,464,466,468,487,488,489,490,531,608,613,616,654,655,669,671,689,715,
748,751,795,796,797,836,854,875,985,986,987,988,1023,1110,1114,1115,1160,
1219],[1,2,3,4,5,6,7,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,29,31,32,33,
34,41,44,45,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,89,90,91,114,115,116,122,124,127,128,129,130,138,
139,167,174,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,
198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,214,219,222,287,
292,293,302,306,307,311,312,328,329,330,331,334,389,390,391,425,426,427,428,
429,430,431,432,433,434,435,436,437,438,439,440,441,445,459,460,462,533,543,
548,549,557,558,559,560,561,562,576,603,675,676,677,678,679,680,681,688,689,
711,712,799,801,802,803,804,805,806,815,816,817,901,909,944,992,997,1067,1075,
1076,1161,1163,1164,1220],[1,2,3,4,5,7,8,10,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,30,37,39,41,42,43,44,45,46,47,48,51,52,53,58,59,60,61,62,63,64,65,
66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,96,
119,120,121,140,144,145,146,150,152,153,154,155,156,157,158,159,164,165,167,
168,169,170,171,172,173,174,175,182,183,184,185,186,187,188,189,190,191,192,
193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,
212,240,243,244,245,246,247,248,288,304,305,332,336,337,338,339,346,347,348,
349,350,351,352,353,354,355,356,357,358,359,365,366,367,368,369,372,373,374,
375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,
394,395,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,
491,495,496,497,500,501,502,503,506,535,536,537,551,552,563,564,565,567,568,
569,570,571,572,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,
593,594,595,596,597,598,599,600,601,602,603,604,605,606,675,676,677,678,679,
680,681,757,759,760,761,762,763,764,771,772,773,774,775,800,807,808,809,810,
811,812,813,819,820,821,822,823,824,825,826,827,828,829,830,901,949,950,951,
953,954,955,956,958,959,993,994,995,996,998,999,1000,1001,1002,1003,1004,1082,
1083,1120,1121,1166,1167,1168,1221],[1,2,3,4,5,6,7,11,13,14,15,18,19,20,23,24,
25,29,30,31,32,33,34,35,36,39,40,41,42,43,44,45,54,55,59,60,62,66,67,75,76,91,
94,98,105,107,114,115,116,119,120,121,122,123,124,133,134,135,136,137,147,164,
165,166,167,168,185,213,214,215,217,219,220,221,222,231,233,234,235,236,237,
242,252,253,267,268,270,290,291,292,295,305,309,310,314,315,360,361,397,403,
406,442,443,444,445,446,447,448,449,455,457,458,459,460,461,482,483,485,486,
499,509,540,541,607,610,612,618,619,636,637,638,640,683,684,685,687,688,691,
707,708,787,831,832,833,838,840,846,847,848,851,865,905,967,968,969,1005,1006,
1007,1008,1009,1017,1019,1091,1095,1122,1169,1177,1178,1222],[1,2,3,4,5,6,7,8,
9,10,11,12,13,14,15,18,19,20,23,24,25,29,30,31,32,33,34,35,36,37,38,39,40,41,
42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,59,60,62,66,67,75,76,91,92,93,94,
95,96,97,98,99,100,101,102,103,104,114,115,116,119,120,121,122,123,124,133,
134,135,136,137,145,150,151,152,154,155,158,159,160,163,164,165,166,167,168,
169,170,173,185,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,
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,
266,291,292,295,305,309,310,314,315,351,355,356,365,367,370,373,376,396,397,
398,399,400,401,402,442,443,444,445,446,447,448,449,450,451,452,455,456,457,
458,459,460,461,466,467,473,474,475,476,479,481,482,483,484,485,486,495,496,
497,498,499,500,501,502,503,504,505,507,508,541,581,607,608,609,610,611,612,
613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,
632,633,634,635,683,684,685,687,688,691,693,697,698,707,708,728,729,731,732,
771,786,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,
848,849,850,851,852,853,856,857,858,859,860,861,862,863,864,905,917,962,963,
964,965,966,1005,1006,1007,1008,1009,1011,1012,1013,1015,1016,1017,1018,1019,
1020,1021,1034,1084,1085,1086,1087,1088,1089,1090,1093,1094,1122,1126,1170,
1171,1172,1173,1174,1175,1176,1223],[1,4,5,7,8,10,11,12,25,27,40,42,43,44,47,
48,51,52,53,54,55,56,85,89,90,96,98,100,101,103,104,105,106,166,168,170,172,
173,212,242,244,246,247,252,253,256,257,258,259,261,262,263,264,265,266,267,
268,269,383,387,388,393,394,395,401,403,404,407,409,411,499,503,505,507,508,
509,510,602,604,605,606,632,633,634,636,637,638,639,641,642,644,645,646,648,
649,650,775,776,777,778,789,864,865,866,867,868,869,959,960,971,972,973,1035,
1036,1037,1038,1039,1040,1096,1139,1140,1141,1142,1180,1224],[1,3,5,7,16,18,
20,21,23,26,27,41,44,45,57,68,69,74,76,79,80,82,83,86,87,88,90,139,144,167,
174,193,194,196,202,206,207,208,209,284,334,346,348,350,389,390,391,393,431,
433,436,437,441,576,578,603,652,678,815,816,817,825,976,977,979,997,1002,
1225],[1,2,3,4,5,6,7,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,30,31,32,33,
34,39,41,42,43,44,45,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,91,109,111,112,114,115,116,119,120,121,122,124,138,144,164,165,167,
168,182,183,184,185,186,187,189,191,192,193,198,213,214,217,219,220,221,222,
272,280,281,288,292,302,304,305,328,329,330,331,346,347,348,349,350,425,442,
443,444,445,446,455,457,458,459,460,461,514,535,536,537,543,548,549,551,552,
557,558,578,579,653,654,683,684,685,687,688,707,708,800,801,870,871,872,873,
874,875,905,1041,1042,1099,1181,1182,1183,1226],[1,2,3,4,5,6,7,13,14,15,16,17,
19,21,22,23,24,25,26,28,29,30,31,32,33,34,35,36,58,61,62,63,66,69,70,72,73,77,
80,81,84,91,110,111,113,114,115,117,118,122,123,125,126,127,128,130,133,134,
137,138,139,174,179,183,187,188,194,195,197,199,213,214,217,274,276,278,280,
282,287,296,298,299,302,303,306,309,316,317,328,330,331,415,426,442,462,516,
520,522,543,544,557,559,560,562,576,654,657,658,686,689,709,712,783,799,803,
873,876,877,880,906,944,986,1043,1047,1048,1053,1067,1107,1144,1196,1227],[1,
2,3,4,5,6,8,9,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,31,32,33,34,35,36,
37,38,46,47,48,49,50,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,
77,78,79,92,109,110,111,112,113,114,115,116,117,118,122,123,124,125,126,131,
132,138,140,141,145,148,150,152,153,154,155,156,157,158,159,160,162,169,170,
180,182,183,184,185,186,187,189,191,192,193,198,216,223,224,225,226,227,228,
271,272,273,276,277,280,281,282,289,292,294,296,297,302,308,313,328,329,330,
331,332,336,337,338,339,340,341,342,351,352,353,354,355,356,362,365,366,367,
368,369,372,373,374,375,376,377,417,418,420,421,422,425,450,451,452,453,454,
466,467,470,471,472,479,480,487,512,514,515,520,523,538,543,548,549,557,558,
563,564,565,567,568,573,580,581,582,583,587,588,654,661,663,664,667,668,669,
670,672,693,695,696,701,702,727,730,745,747,748,749,750,780,801,807,873,874,
875,876,877,888,892,895,896,897,916,934,935,936,938,939,985,1042,1043,1044,
1045,1046,1058,1068,1108,1109,1110,1111,1112,1143,1187,1188,1189,1190,1191,
1228],[1,3,5,6,8,9,16,18,20,21,23,26,27,28,32,33,35,37,38,48,68,69,74,76,79,
80,82,83,92,110,111,113,124,125,127,129,131,133,135,138,140,141,142,145,148,
150,151,156,158,171,172,180,193,194,196,202,206,216,223,227,274,276,278,281,
283,311,313,314,316,319,320,324,329,330,332,333,338,341,353,356,369,378,380,
381,417,418,422,431,450,453,463,465,471,473,475,487,516,521,523,555,558,559,
561,564,569,571,574,584,590,654,659,663,665,667,673,692,695,697,703,706,718,
725,745,749,782,805,808,874,876,883,893,895,914,935,940,942,985,1044,1047,
1049,1055,1069,1108,1111,1146,1188,1192,1194,1229],[1,3,4,5,6,8,9,16,17,18,19,
20,21,22,23,24,25,28,32,33,34,35,36,37,38,47,48,50,68,69,70,71,72,74,75,76,77,
79,81,84,92,110,111,113,124,125,126,128,130,131,134,136,137,138,140,141,145,
148,150,153,155,156,157,158,159,161,163,170,180,193,195,197,198,201,203,205,
216,223,226,227,228,275,276,279,281,282,312,313,315,317,318,322,326,329,330,
331,332,338,339,341,342,352,353,355,356,363,369,374,377,379,382,417,418,422,
432,450,453,454,468,469,471,474,476,481,487,518,522,523,556,558,560,562,564,
570,572,575,582,585,589,591,654,662,663,666,667,670,694,695,698,704,705,734,
737,745,749,750,785,806,809,874,876,877,890,894,895,918,935,941,943,985,1044,
1048,1050,1061,1070,1108,1111,1112,1147,1188,1193,1195,1230],[1,2,3,4,5,6,8,9,
13,14,15,16,17,19,21,22,23,24,25,26,28,29,31,32,33,34,35,36,37,38,46,47,48,49,
50,58,61,62,63,66,69,70,72,73,77,80,81,84,92,110,111,113,115,117,118,122,123,
125,126,127,128,133,134,137,138,140,141,142,152,153,154,155,156,157,158,159,
160,161,169,170,171,180,183,187,188,194,195,197,199,216,223,224,225,226,227,
228,274,276,278,280,282,296,298,299,306,309,316,317,328,330,331,336,337,338,
339,340,341,342,343,372,373,374,375,376,377,378,379,382,417,418,422,426,451,
453,454,463,466,468,470,473,474,479,480,481,487,516,520,522,544,557,559,560,
567,568,569,570,572,573,574,575,592,594,654,659,663,665,668,670,701,703,704,
715,717,728,733,747,749,750,783,803,810,814,873,876,877,883,892,894,923,938,
940,941,985,1043,1047,1048,1056,1071,1109,1111,1112,1144,1190,1192,1193,
1231],[1,2,3,4,5,6,8,9,13,14,15,16,17,20,21,22,23,24,27,28,29,31,32,33,34,35,
36,37,38,46,47,48,49,50,58,61,62,64,67,69,70,72,73,79,81,82,92,110,111,113,
115,117,118,122,123,125,126,129,130,135,136,138,140,141,150,151,152,153,154,
156,157,158,159,160,163,169,172,180,183,189,190,196,197,200,201,216,223,224,
225,226,227,228,275,276,279,280,282,283,296,300,301,307,310,318,319,328,330,
331,336,338,339,340,341,342,366,367,369,370,372,373,374,375,379,380,417,418,
422,427,451,453,454,465,466,469,470,475,476,479,480,487,518,520,521,545,557,
561,562,567,571,572,573,588,591,593,595,654,662,663,666,668,670,673,701,705,
706,722,724,729,736,747,749,750,784,804,811,873,876,877,890,892,893,924,938,
942,943,985,1043,1049,1050,1060,1072,1109,1111,1112,1145,1190,1194,1195,
1232],[1,2,3,4,5,6,8,9,13,14,15,16,17,19,21,22,23,24,25,26,28,29,32,33,34,35,
37,38,46,47,48,50,58,61,62,63,66,69,70,72,73,77,80,81,84,92,109,110,111,112,
113,114,116,118,125,127,130,132,133,136,138,140,141,142,152,153,154,155,156,
157,158,159,162,163,169,170,171,180,183,187,188,194,195,197,199,216,223,225,
226,227,271,272,273,274,275,276,277,278,279,287,294,295,302,316,318,321,327,
330,336,337,338,339,341,344,372,373,374,375,376,377,378,379,382,417,418,420,
421,422,426,452,453,463,467,469,472,473,476,480,487,511,512,513,516,517,518,
519,534,543,559,562,567,568,569,570,572,574,592,594,654,659,661,662,663,664,
665,666,669,672,702,703,705,716,719,731,738,748,749,779,799,810,875,876,882,
883,884,888,889,890,891,925,939,940,943,985,1046,1047,1050,1054,1073,1110,
1111,1148,1191,1192,1195,1233],[1,2,3,4,5,6,8,9,13,14,15,16,19,20,21,22,23,24,
25,27,28,29,32,33,34,35,36,37,38,46,47,48,50,60,61,63,66,69,70,77,78,79,81,82,
84,85,92,109,110,111,112,113,114,116,118,125,126,128,129,132,134,135,137,138,
140,141,150,151,152,154,155,156,157,158,159,161,162,169,170,172,180,186,187,
190,195,196,204,205,216,223,225,226,227,228,271,272,273,276,277,282,283,291,
293,294,302,317,319,323,325,330,331,337,338,339,341,342,365,368,369,371,372,
376,377,379,380,382,383,417,418,420,421,422,429,452,453,454,465,467,468,472,
474,475,480,481,487,512,521,522,542,543,560,561,568,570,571,575,587,589,593,
596,654,661,663,664,669,670,672,673,702,704,706,723,726,732,735,748,749,750,
781,802,812,875,876,877,888,893,894,926,939,941,942,985,1046,1048,1049,1059,
1074,1110,1111,1112,1149,1191,1193,1194,1234],[1,3,5,6,7,16,18,20,21,23,26,27,
28,32,33,35,41,68,69,74,76,79,80,82,83,91,110,111,113,124,125,127,129,131,133,
135,138,139,174,179,193,194,196,202,206,217,219,274,276,278,281,283,311,313,
314,316,319,320,324,329,330,334,389,415,431,455,462,516,521,523,555,558,559,
561,576,654,656,658,709,711,713,782,805,815,874,876,880,927,944,986,1044,1047,
1049,1052,1075,1113,1146,1196,1235],[1,2,3,4,5,6,7,13,14,15,16,17,19,21,22,23,
24,25,26,28,29,31,32,33,34,35,43,58,61,62,63,66,69,70,72,73,77,80,81,84,91,
109,110,111,112,113,114,116,118,122,125,127,128,130,132,133,136,138,139,174,
179,183,187,188,194,195,197,199,214,217,221,271,272,273,274,275,276,277,278,
279,287,294,295,302,306,316,318,321,327,328,330,331,335,414,415,416,426,446,
462,511,512,513,516,517,518,519,534,543,557,559,560,562,576,654,655,658,689,
709,712,714,779,799,803,875,876,879,880,881,928,944,986,1046,1047,1050,1051,
1067,1114,1148,1196,1236],[1,2,3,4,5,6,9,10,13,14,15,16,17,19,21,22,23,24,25,
26,28,29,32,33,34,35,38,49,50,52,58,61,62,63,66,69,70,72,73,77,80,81,84,93,
109,110,111,112,113,114,116,118,125,127,130,132,133,136,138,141,142,143,160,
161,175,181,183,187,188,194,195,197,199,218,229,230,271,272,273,274,275,276,
277,278,279,287,294,295,302,316,318,321,327,330,340,341,342,343,345,419,423,
424,426,456,464,488,511,512,513,516,517,518,519,534,543,559,562,573,574,575,
577,654,660,671,710,720,721,751,779,799,814,875,876,885,886,887,929,945,987,
1046,1047,1050,1057,1077,1115,1148,1197,1237],[1,2,3,4,5,6,8,9,13,14,15,16,17,
20,21,22,23,24,27,28,31,33,34,37,38,46,47,48,49,50,58,61,62,64,67,69,70,72,73,
79,81,82,92,109,110,111,112,113,122,129,130,138,140,141,150,152,153,154,156,
157,158,159,160,169,172,179,180,181,183,189,190,196,197,200,201,223,224,226,
271,272,273,274,275,276,277,278,279,280,281,282,283,307,328,330,331,336,338,
339,340,341,342,366,367,369,372,373,374,375,379,380,414,415,416,417,418,419,
420,421,422,423,424,427,465,466,469,487,511,512,513,514,515,516,517,518,519,
520,521,522,523,531,557,561,562,567,571,572,573,588,591,593,595,655,656,657,
658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,722,747,749,
750,779,780,781,782,783,784,785,795,796,797,804,811,878,879,880,881,882,883,
884,885,886,887,888,889,890,891,892,893,894,895,896,897,938,942,943,961,988,
989,990,991,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1072,1116,
1117,1118,1119,1150,1151,1198,1199,1200,1238],[1,5,7,11,26,44,55,57,86,98,107,
174,178,253,270,284,390,406,526,640,652,979,1155,1239],[1,5,8,11,12,26,48,55,
57,86,101,107,108,171,178,259,270,285,384,408,529,643,652,978,1155,1240],[1,5,
10,11,26,53,55,57,86,103,107,108,175,178,264,270,286,392,410,530,647,652,981,
1155,1241],[1,5,10,11,26,53,55,57,86,104,107,108,175,178,266,270,286,392,412,
530,651,652,980,1155,1242],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,29,31,32,33,34,37,38,41,46,47,48,49,50,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,91,92,93,96,97,
114,115,116,122,124,127,128,129,130,138,139,140,141,142,143,145,150,152,153,
154,155,156,157,158,159,160,161,169,170,171,172,174,175,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,214,216,219,223,224,225,226,229,240,287,292,293,302,306,307,311,312,328,
329,330,331,332,334,336,337,338,339,340,341,342,343,351,352,353,354,355,356,
365,366,367,368,369,372,373,374,375,376,377,378,379,380,381,382,383,389,396,
425,426,427,428,429,430,431,432,434,445,450,451,452,462,463,464,465,466,467,
468,469,487,488,489,490,506,533,543,548,549,557,558,559,560,561,562,563,564,
565,567,568,569,570,571,572,573,574,575,576,577,580,581,582,583,584,585,587,
588,589,590,591,592,593,594,595,596,609,613,675,689,692,693,694,711,712,715,
716,720,722,723,745,747,748,749,750,751,753,772,799,801,802,803,804,805,806,
807,808,809,810,811,812,814,815,819,820,827,841,854,909,913,934,935,936,938,
939,940,941,942,943,944,945,947,948,992,994,1022,1023,1024,1067,1068,1069,
1070,1071,1072,1073,1074,1075,1077,1078,1130,1138,1161,1162,1203,1204,1243],[
1,3,5,6,7,8,9,10,16,18,20,21,23,26,27,32,33,37,38,41,44,45,48,53,68,69,74,76,
79,80,82,83,86,87,88,90,91,92,93,96,97,124,127,129,138,139,140,141,142,143,
145,150,156,158,167,171,172,174,175,193,194,196,202,206,207,208,209,216,219,
222,223,240,247,248,251,311,329,330,332,334,338,341,353,356,369,378,380,381,
384,385,386,388,389,390,391,392,396,431,433,436,437,441,450,459,462,463,464,
465,487,488,489,490,497,506,558,559,561,564,569,571,574,576,577,584,590,597,
598,599,603,609,617,678,692,711,745,749,753,772,773,774,805,808,813,815,816,
817,818,821,822,828,844,854,935,940,942,944,945,947,948,958,995,997,1022,1069,
1075,1076,1078,1079,1080,1081,1138,1163,1165,1204,1205,1244],[1,3,5,6,7,8,9,
10,16,18,20,21,23,24,26,27,32,33,37,38,41,48,68,69,74,76,79,80,81,82,83,89,91,
92,93,96,97,124,127,129,138,139,140,141,142,143,145,150,156,158,159,171,172,
174,175,193,194,196,202,203,206,210,216,219,223,240,311,329,330,332,334,338,
341,353,356,369,378,379,380,381,387,389,396,431,438,439,450,460,462,463,464,
465,487,488,489,490,506,558,559,561,564,569,571,574,576,577,584,585,590,600,
609,679,692,711,745,749,753,772,805,808,815,823,824,845,854,935,940,942,944,
945,947,948,996,1022,1069,1075,1078,1138,1164,1204,1245],[1,2,3,4,6,7,8,9,10,
11,12,13,14,18,29,30,31,32,33,34,37,38,40,41,43,46,47,49,50,52,54,56,59,91,92,
93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,114,115,116,120,122,
124,145,147,149,152,154,160,213,214,215,216,217,218,219,221,223,224,225,226,
229,230,234,235,238,240,241,245,246,250,252,254,255,256,257,258,260,263,265,
267,269,290,292,351,396,397,398,399,400,401,402,403,404,405,406,407,408,409,
410,411,412,442,443,445,446,448,450,451,452,455,456,466,467,493,496,498,607,
608,609,610,611,613,615,616,618,620,621,622,625,626,629,633,635,636,641,644,
648,683,693,767,786,787,788,789,790,791,792,831,832,834,835,836,841,843,846,
849,857,962,963,965,967,971,975,1006,1011,1062,1085,1087,1088,1091,1092,1152,
1169,1173,1207,1246],[1,3,5,6,7,8,9,10,11,12,18,20,23,32,33,35,37,38,41,44,45,
48,53,55,76,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
124,133,135,145,147,149,150,151,158,167,216,217,218,219,222,223,227,231,232,
234,236,240,241,247,248,251,253,259,264,266,268,270,314,356,361,396,397,398,
399,400,401,402,403,404,405,406,407,408,409,410,411,412,450,455,457,459,473,
475,482,493,497,608,609,610,611,617,619,623,625,627,631,634,638,640,642,643,
646,647,650,651,697,708,769,786,787,788,789,790,791,792,835,837,838,839,844,
846,847,859,962,966,969,973,974,1013,1017,1062,1084,1087,1089,1091,1092,1154,
1171,1177,1207,1247],[1,3,4,6,7,8,9,10,11,12,18,19,24,32,33,36,37,38,39,40,41,
42,47,51,54,56,75,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,124,134,136,145,147,149,155,159,163,164,216,217,218,219,220,223,228,233,
234,237,239,240,241,242,243,244,249,257,258,261,262,267,269,315,355,360,364,
396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,450,455,
458,460,474,476,485,493,495,608,609,610,611,612,614,624,625,628,630,632,637,
639,641,645,649,698,707,768,786,787,788,789,790,791,792,835,840,842,845,846,
848,850,861,962,964,968,970,972,1012,1019,1062,1086,1087,1090,1091,1092,1153,
1175,1178,1179,1207,1248],[1,2,3,4,6,7,11,13,14,16,17,18,19,20,28,29,30,31,32,
33,36,39,40,41,42,58,59,60,63,64,68,71,91,94,98,111,114,115,117,127,130,131,
134,135,138,139,144,147,164,179,182,213,214,215,217,219,220,233,234,237,242,
280,287,288,289,290,291,298,300,302,303,320,326,328,329,346,347,397,415,442,
445,457,458,462,477,485,532,535,548,607,610,612,653,654,657,682,686,687,712,
713,739,742,831,838,840,871,873,902,907,983,986,1005,1099,1100,1107,1182,1212,
1249],[1,3,5,6,7,8,9,10,16,18,20,21,23,28,32,33,37,38,41,44,45,48,53,68,69,74,
76,79,91,92,93,96,97,111,124,138,140,141,144,145,146,150,156,158,167,180,193,
216,217,218,219,222,223,240,247,248,251,281,329,330,332,338,341,346,348,350,
353,356,358,369,396,418,450,455,457,459,487,491,497,558,564,578,608,609,617,
653,654,667,708,745,749,757,761,764,835,837,844,872,874,935,950,982,985,1013,
1099,1101,1108,1183,1211,1250],[1,2,3,4,6,7,8,9,10,14,16,18,19,20,22,24,28,29,
30,32,34,37,41,43,46,47,50,52,63,65,67,68,70,75,78,91,92,93,96,97,109,111,112,
116,120,138,140,141,144,145,146,150,154,155,157,159,180,191,213,216,219,221,
225,226,230,240,245,246,250,272,302,304,329,331,332,337,339,342,346,349,354,
355,359,367,368,396,418,420,421,443,452,457,460,487,491,496,549,551,565,609,
615,616,653,654,669,685,745,748,750,757,762,763,837,843,845,870,875,936,951,
982,985,1016,1099,1102,1110,1181,1211,1251],[1,2,3,4,6,7,8,9,10,13,14,16,17,
18,19,20,28,29,31,32,37,39,41,42,46,47,49,51,58,59,60,63,64,68,71,91,92,93,96,
97,111,115,138,140,141,144,145,146,150,152,153,154,155,164,180,182,214,216,
219,220,224,225,229,240,243,244,249,280,288,302,328,329,332,336,337,340,346,
347,351,352,357,365,366,396,418,445,451,457,458,487,491,495,535,548,563,609,
613,614,653,654,668,687,745,747,748,757,759,760,837,841,842,871,873,934,949,
982,985,1015,1099,1103,1109,1182,1211,1252],[1,2,3,4,6,7,11,14,16,18,19,20,22,
24,28,29,30,31,32,33,34,41,43,54,63,65,67,68,70,75,78,91,94,98,109,111,112,
116,120,122,127,128,131,132,135,136,138,139,144,147,179,191,213,214,215,217,
219,221,234,235,252,272,302,304,306,308,310,320,321,322,323,329,331,335,346,
349,360,397,414,415,416,443,446,448,457,460,462,477,549,551,553,607,610,618,
653,654,655,685,689,690,713,714,739,740,832,838,848,870,875,910,911,983,986,
1009,1099,1104,1114,1181,1212,1253],[1,3,5,6,7,11,16,18,20,21,23,28,32,33,35,
41,44,45,55,68,69,74,76,79,91,94,98,111,124,125,127,129,131,133,135,138,139,
144,147,167,179,193,217,219,222,231,234,236,253,281,311,313,314,316,319,320,
324,329,330,334,346,348,350,361,397,415,455,457,459,462,477,482,555,558,578,
610,619,653,654,656,699,708,709,711,713,739,741,838,846,847,872,874,920,927,
983,986,1017,1099,1105,1113,1183,1212,1254],[1,2,3,4,6,7,9,10,12,14,16,18,19,
20,22,24,28,29,30,32,34,38,41,43,49,50,52,56,63,65,67,68,70,75,78,91,93,95,99,
100,109,111,112,116,120,138,142,143,144,148,149,151,160,161,162,163,181,191,
213,218,219,221,229,230,238,241,254,255,256,272,302,304,329,331,333,343,344,
345,346,349,362,363,364,370,371,398,419,423,424,443,456,457,460,488,492,498,
549,551,566,611,620,621,653,654,671,685,746,751,752,758,765,766,839,849,850,
870,875,937,952,984,987,1018,1099,1106,1115,1181,1213,1255],[1,2,3,4,5,6,7,8,
9,10,11,12,14,15,17,18,19,20,22,23,25,28,30,31,33,34,35,36,37,38,39,40,41,42,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,64,65,66,71,73,76,78,92,94,95,96,99,
101,102,109,111,112,119,120,121,122,123,129,130,131,132,133,134,137,144,145,
146,147,148,149,150,153,154,155,157,158,160,162,164,165,166,167,168,169,170,
173,179,180,181,192,215,223,224,226,227,228,231,232,233,234,235,236,237,238,
239,240,241,243,244,245,246,247,248,254,255,257,258,259,260,272,280,281,304,
305,307,308,309,324,325,326,327,347,350,352,354,356,357,361,362,366,368,375,
376,399,414,415,416,418,419,420,421,423,424,447,448,449,465,466,469,471,472,
473,474,477,478,479,481,482,483,484,485,486,491,492,493,494,495,496,497,498,
500,501,502,503,505,514,531,552,554,583,622,623,624,625,626,627,628,653,655,
656,657,667,668,669,671,690,691,722,725,726,727,728,737,738,741,742,744,760,
762,764,765,769,771,795,796,797,855,856,857,858,859,860,861,862,870,871,872,
878,896,912,932,956,982,983,984,988,989,990,1028,1032,1033,1034,1041,1100,
1101,1102,1103,1104,1105,1106,1116,1135,1159,1184,1185,1214,1215,1216,1256],[
1,2,3,4,6,7,8,9,10,13,14,16,17,18,19,20,28,29,30,31,32,33,34,37,38,41,43,46,
47,49,50,52,58,59,60,63,64,68,71,91,92,93,96,97,109,111,112,114,115,116,120,
122,124,127,128,129,130,138,139,140,141,142,143,145,150,152,153,154,155,160,
161,179,180,181,182,213,214,216,217,218,219,221,223,224,225,226,229,230,240,
245,246,250,272,280,281,287,292,293,302,306,307,311,312,328,329,332,334,336,
337,340,343,351,352,365,366,396,414,415,416,418,419,420,421,423,424,442,443,
445,446,450,451,452,455,456,462,463,464,465,466,467,468,469,487,488,489,490,
496,514,531,533,548,563,608,609,613,615,616,654,655,656,657,667,668,669,671,
683,689,692,693,694,711,712,715,716,720,722,723,745,747,748,751,753,795,796,
797,834,835,836,841,843,854,873,874,875,878,896,909,913,934,985,986,987,988,
989,990,1011,1022,1023,1024,1042,1107,1108,1109,1110,1113,1114,1115,1116,1130,
1160,1186,1187,1217,1218,1219,1257],[1,3,5,6,7,8,9,10,16,21,23,26,28,32,33,35,
37,38,48,69,80,91,92,93,96,97,110,111,113,125,127,133,138,139,140,141,142,143,
156,158,171,174,175,179,180,181,194,216,217,218,223,227,274,276,278,316,330,
338,341,378,396,415,417,418,419,422,453,462,463,464,473,487,488,489,490,506,
516,531,559,569,574,576,577,608,654,658,659,660,663,665,703,709,710,749,796,
854,876,880,883,886,940,944,945,947,948,985,986,987,991,1014,1047,1111,1118,
1138,1160,1192,1196,1197,1258],[1,3,6,7,16,18,20,28,32,33,41,57,68,91,111,124,
127,129,138,139,144,219,281,284,311,329,334,346,457,462,653,654,711,874,977,
1099,1259],[1,2,3,4,5,6,7,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,
30,31,32,33,34,35,36,41,43,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,81,82,83,84,85,91,109,110,111,112,113,114,115,116,117,118,
120,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
174,179,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,203,204,205,206,213,214,217,219,221,271,272,273,274,275,276,
277,278,279,280,281,282,283,287,289,291,292,293,294,295,296,297,298,299,300,
301,302,303,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,331,334,335,389,414,415,416,425,426,427,
428,429,430,431,432,434,442,443,445,446,455,462,511,512,513,514,515,516,517,
518,519,520,521,522,523,532,533,534,538,539,541,542,543,544,545,546,547,548,
549,550,553,554,555,556,557,558,559,560,561,562,576,654,655,656,657,658,675,
683,686,689,709,711,712,713,714,779,780,781,782,783,784,785,798,799,801,802,
803,804,805,806,815,873,874,875,876,877,878,879,880,881,906,907,908,909,910,
927,928,944,961,986,992,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,
1052,1053,1065,1067,1075,1107,1113,1114,1143,1144,1145,1146,1147,1148,1149,
1150,1161,1186,1196,1206,1227,1235,1236,1260],[1,2,3,4,5,6,8,9,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,31,32,33,34,35,36,37,38,46,47,48,49,50,58,
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,
85,92,109,110,111,112,113,114,115,116,117,118,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,140,141,142,145,148,150,151,152,153,154,
155,156,157,158,159,160,161,162,163,169,170,171,172,180,182,183,184,185,186,
187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,
206,216,223,224,225,226,227,228,271,272,273,274,275,276,277,278,279,280,281,
282,283,287,289,291,292,293,294,295,296,297,298,299,300,301,302,306,307,308,
309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,
328,329,330,331,332,333,336,337,338,339,340,341,342,343,344,351,352,353,354,
355,356,362,363,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,
380,381,382,383,417,418,420,421,422,425,426,427,428,429,430,431,432,434,450,
451,452,453,454,463,465,466,467,468,469,470,471,472,473,474,475,476,479,480,
481,487,511,512,513,514,515,516,517,518,519,520,521,522,523,532,533,534,538,
539,541,542,543,544,545,546,547,548,549,553,554,555,556,557,558,559,560,561,
562,563,564,565,566,567,568,569,570,571,572,573,574,575,580,581,582,583,584,
585,587,588,589,590,591,592,593,594,595,596,654,659,661,662,663,664,665,666,
667,668,669,670,672,673,675,692,693,694,695,696,697,698,701,702,703,704,705,
706,715,716,717,718,719,722,723,724,725,726,727,728,729,730,731,732,733,734,
735,736,737,738,745,747,748,749,750,779,780,781,782,783,784,785,798,799,801,
802,803,804,805,806,807,808,809,810,811,812,814,819,820,827,873,874,875,876,
877,882,883,884,888,889,890,891,892,893,894,895,896,897,913,914,915,916,917,
918,919,923,924,925,926,930,931,932,933,934,935,936,938,939,940,941,942,943,
961,985,992,994,1042,1043,1044,1045,1046,1047,1048,1049,1050,1054,1055,1056,
1058,1059,1060,1061,1066,1068,1069,1070,1071,1072,1073,1074,1108,1109,1110,
1111,1112,1143,1144,1145,1146,1147,1148,1149,1151,1162,1187,1188,1189,1190,
1191,1192,1193,1194,1195,1206,1228,1229,1230,1231,1232,1233,1234,1261],[1,3,6,
7,8,9,10,11,12,16,18,20,28,32,33,37,38,41,68,91,92,93,94,95,96,97,98,99,100,
101,102,103,104,111,127,131,135,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,179,180,181,216,217,218,219,223,234,240,241,320,329,332,333,346,
396,397,398,399,400,401,402,415,418,419,457,462,463,464,471,475,477,478,487,
488,489,490,491,492,493,494,531,608,609,610,611,625,653,654,713,718,739,745,
746,757,758,786,796,837,838,839,854,855,962,982,983,984,985,986,987,1026,1030,
1084,1099,1159,1160,1211,1212,1213,1262],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,29,31,32,33,34,37,38,41,44,45,46,47,48,49,50,53,
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,
84,85,86,87,88,89,90,91,92,93,96,97,114,115,116,122,124,127,128,129,130,138,
139,140,141,142,143,145,150,152,153,154,155,156,157,158,159,160,161,167,169,
170,171,172,174,175,182,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,214,216,
219,222,223,224,225,226,229,240,247,248,251,287,292,293,302,306,307,311,312,
328,329,330,331,332,334,336,337,338,339,340,341,342,343,351,352,353,354,355,
356,365,366,367,368,369,372,373,374,375,376,377,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,396,425,426,427,428,429,430,431,432,433,434,
435,436,437,438,439,440,441,445,450,451,452,459,460,462,463,464,465,466,467,
468,469,487,488,489,490,497,506,533,543,548,549,557,558,559,560,561,562,563,
564,565,567,568,569,570,571,572,573,574,575,576,577,580,581,582,583,584,585,
587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,609,613,
617,675,676,677,678,679,680,681,688,689,692,693,694,711,712,715,716,720,722,
723,745,747,748,749,750,751,753,772,773,774,799,801,802,803,804,805,806,807,
808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,827,828,
829,830,841,844,845,854,901,909,913,934,935,936,938,939,940,941,942,943,944,
945,947,948,958,992,994,995,996,997,998,999,1000,1001,1020,1022,1023,1024,
1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,
1121,1130,1138,1161,1162,1163,1164,1165,1203,1204,1205,1220,1243,1244,1245,
1263],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,18,19,20,23,24,25,29,30,31,32,33,
34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,59,60,62,
66,67,75,76,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,
114,115,116,119,120,121,122,123,124,133,134,135,136,137,145,147,149,150,151,
152,154,155,158,159,160,163,164,165,166,167,168,169,170,173,185,213,214,215,
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,
254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,290,291,
292,295,305,309,310,314,315,351,355,356,360,361,364,365,367,370,373,376,396,
397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,442,443,444,
445,446,447,448,449,450,451,452,455,456,457,458,459,460,461,466,467,473,474,
475,476,479,481,482,483,484,485,486,493,495,496,497,498,499,500,501,502,503,
504,505,507,508,509,540,541,581,607,608,609,610,611,612,613,614,615,616,617,
618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,
637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,683,684,685,687,
688,691,693,697,698,707,708,728,729,731,732,767,768,769,771,786,787,788,789,
790,791,792,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,
847,848,849,850,851,852,853,856,857,858,859,860,861,862,863,864,865,866,868,
869,905,917,957,962,963,964,965,966,967,968,969,970,971,972,973,974,975,1005,
1006,1007,1008,1009,1011,1012,1013,1015,1016,1017,1018,1019,1020,1021,1034,
1062,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1122,
1126,1152,1153,1154,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,
1207,1208,1222,1223,1246,1247,1248,1264],[1,3,5,7,8,10,16,18,20,21,23,26,27,
37,41,44,45,48,53,57,68,69,74,76,79,80,82,83,86,87,88,90,96,139,140,143,144,
145,146,150,156,158,167,171,172,174,175,193,194,196,202,206,207,208,209,240,
247,248,284,285,286,332,334,338,346,348,350,353,356,358,369,378,380,381,384,
385,386,388,389,390,391,392,393,394,395,431,433,436,437,441,489,491,497,506,
564,569,571,576,577,578,584,590,597,598,599,603,652,674,678,753,757,761,764,
772,773,774,775,808,813,815,816,817,818,821,822,825,826,828,947,950,958,976,
977,978,979,980,981,995,997,1002,1078,1079,1080,1083,1156,1157,1158,1165,1167,
1225,1265],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,30,
31,32,33,34,35,36,39,40,41,42,43,44,45,54,55,58,59,60,61,62,63,64,65,66,67,68,
69,70,71,72,73,74,75,76,77,78,79,91,94,98,109,111,112,114,115,116,117,118,119,
120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,
139,144,147,164,165,166,167,168,179,182,183,184,185,186,187,189,191,192,193,
198,213,214,215,217,219,220,221,222,231,233,234,235,236,237,242,252,253,272,
280,281,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,
304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,
323,324,325,326,327,328,329,330,331,334,335,346,347,348,349,350,360,361,397,
414,415,416,425,442,443,444,445,446,447,448,449,455,457,458,459,460,461,462,
477,482,483,485,486,499,514,532,533,534,535,536,537,538,539,540,541,542,543,
544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,578,579,607,610,
612,618,619,653,654,655,656,657,682,683,684,685,686,687,688,689,690,691,699,
707,708,709,711,712,713,714,739,740,741,742,798,800,801,831,832,833,838,840,
846,847,848,851,870,871,872,873,874,875,878,902,903,904,905,906,907,908,909,
910,911,912,920,921,927,928,983,986,1005,1006,1007,1008,1009,1017,1019,1041,
1042,1064,1065,1099,1100,1104,1105,1107,1113,1114,1122,1181,1182,1183,1184,
1186,1212,1226,1249,1253,1254,1266],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,
19,20,21,22,23,24,25,28,29,30,31,32,33,34,37,38,39,41,42,43,44,45,46,47,48,49,
50,51,52,53,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
91,92,93,96,97,109,111,112,114,115,116,119,120,121,122,124,138,140,141,144,
145,146,150,152,153,154,155,156,157,158,159,160,164,165,167,168,169,170,173,
180,182,183,184,185,186,187,189,191,192,193,198,213,214,216,217,218,219,220,
221,222,223,224,225,226,229,230,240,243,244,245,246,247,248,249,250,251,272,
280,281,288,292,302,304,305,328,329,330,331,332,336,337,338,339,340,341,342,
346,347,348,349,350,351,352,353,354,355,356,357,358,359,365,366,367,368,369,
372,373,374,375,376,377,396,418,420,421,425,442,443,444,445,446,450,451,452,
455,456,457,458,459,460,461,466,467,487,491,495,496,497,500,501,502,503,504,
514,535,536,537,543,548,549,551,552,557,558,563,564,565,567,568,573,578,579,
580,581,582,583,586,587,588,608,609,613,614,615,616,617,653,654,667,668,669,
683,684,685,687,688,693,707,708,745,747,748,749,750,757,759,760,761,762,763,
764,771,800,801,807,834,835,836,837,841,842,843,844,845,852,853,870,871,872,
873,874,875,896,905,934,935,936,938,939,949,950,951,953,954,955,956,982,985,
1011,1012,1013,1015,1016,1020,1021,1041,1042,1068,1082,1099,1101,1102,1103,
1108,1109,1110,1126,1181,1182,1183,1185,1187,1211,1226,1250,1251,1252,1267],[
1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,19,21,22,23,24,25,26,28,29,30,31,32,33,34,
35,36,37,38,46,47,48,49,50,58,61,62,63,66,69,70,72,73,77,80,81,84,91,92,93,96,
97,110,111,113,114,115,117,118,122,123,125,126,127,128,130,133,134,137,138,
139,140,141,142,143,152,153,154,155,156,157,158,159,160,161,169,170,171,174,
175,179,180,181,183,187,188,194,195,197,199,213,214,216,217,218,223,224,225,
226,227,228,229,245,274,276,278,280,282,287,296,298,299,302,303,306,309,316,
317,328,330,331,336,337,338,339,340,341,342,343,372,373,374,375,376,377,378,
379,382,396,415,417,418,419,422,426,442,451,453,454,462,463,464,466,467,468,
469,470,473,474,479,480,481,487,488,489,490,506,516,520,522,531,543,544,557,
559,560,562,567,568,569,570,572,573,574,575,576,577,592,594,608,613,615,654,
657,658,659,660,663,665,668,670,686,689,701,703,704,709,710,712,715,716,717,
720,728,733,747,748,749,750,751,754,783,796,799,803,810,814,834,854,873,876,
877,880,883,886,892,894,906,923,938,939,940,941,943,944,945,947,948,985,986,
987,990,991,1014,1023,1024,1025,1043,1047,1048,1053,1056,1067,1071,1073,1077,
1107,1109,1111,1112,1118,1127,1138,1144,1160,1190,1192,1193,1196,1197,1200,
1203,1217,1227,1231,1258,1268],[1,3,5,6,7,8,9,10,16,18,20,21,23,26,27,28,32,
33,35,37,38,41,48,68,69,74,76,79,80,82,83,91,92,93,96,97,110,111,113,124,125,
127,129,131,133,135,138,139,140,141,142,143,145,148,150,151,156,158,171,172,
174,175,179,180,181,193,194,196,202,206,216,217,218,219,223,227,240,274,276,
278,281,283,311,313,314,316,319,320,324,329,330,332,333,334,338,341,353,356,
369,378,380,381,389,396,415,417,418,419,422,431,450,453,455,462,463,464,465,
471,473,475,487,488,489,490,506,516,521,523,531,555,558,559,561,564,569,571,
574,576,577,584,590,608,609,654,656,658,659,660,663,665,667,673,692,695,697,
703,706,709,710,711,713,718,725,745,746,749,753,772,782,796,805,808,815,835,
854,874,876,880,883,886,893,895,914,927,935,940,942,944,945,947,948,985,986,
987,989,991,1014,1022,1026,1044,1047,1049,1052,1055,1069,1075,1078,1108,1111,
1113,1118,1128,1138,1146,1160,1188,1192,1194,1196,1197,1199,1204,1218,1229,
1235,1258,1269],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,19,21,22,23,24,25,26,28,
29,31,32,33,34,35,37,38,43,46,47,48,49,50,52,58,61,62,63,66,69,70,72,73,77,80,
81,84,91,92,93,96,97,109,110,111,112,113,114,116,118,122,125,127,128,130,132,
133,136,138,139,140,141,142,143,152,153,154,155,156,157,158,159,160,161,162,
163,169,170,171,174,175,179,180,181,183,187,188,194,195,197,199,214,216,217,
218,221,223,224,225,226,227,229,230,246,250,271,272,273,274,275,276,277,278,
279,287,294,295,302,306,316,318,321,327,328,330,331,335,336,337,338,339,340,
341,342,343,344,345,372,373,374,375,376,377,378,379,382,396,414,415,416,417,
418,419,420,421,422,423,424,426,446,452,453,456,462,463,464,466,467,468,469,
472,473,476,480,487,488,489,490,506,511,512,513,516,517,518,519,531,534,543,
557,559,560,562,567,568,569,570,572,573,574,575,576,577,592,594,608,613,616,
654,655,658,659,660,661,662,663,664,665,666,669,671,672,689,702,703,705,709,
710,712,714,715,716,719,720,721,731,738,747,748,749,750,751,752,755,756,779,
795,796,797,799,803,810,814,836,854,875,876,879,880,881,882,883,884,885,886,
887,888,889,890,891,925,928,929,938,939,940,941,943,944,945,947,948,985,986,
987,988,991,1014,1023,1024,1027,1046,1047,1050,1051,1054,1057,1067,1071,1073,
1077,1110,1111,1114,1115,1117,1118,1119,1129,1138,1148,1160,1191,1192,1195,
1196,1197,1198,1203,1219,1233,1236,1237,1258,1270],[1,5,7,8,10,11,12,26,44,48,
53,55,57,86,96,98,100,101,103,104,107,108,171,174,175,178,247,253,259,264,266,
270,284,285,286,384,390,392,401,405,406,408,410,412,506,526,529,530,634,640,
643,647,651,652,674,773,790,900,974,978,979,980,981,1155,1158,1239,1240,1241,
1242,1271],[1,2,3,4,6,7,13,14,16,17,18,19,20,28,29,31,32,33,34,39,41,42,57,58,
59,60,63,64,68,71,91,109,111,112,114,115,116,122,124,127,128,129,130,138,139,
144,164,177,182,214,219,220,272,280,281,284,287,288,292,293,302,306,307,311,
312,328,329,334,346,347,445,457,458,462,514,525,533,535,548,653,654,687,689,
711,712,871,873,874,875,909,977,1042,1099,1182,1259,1272],[1,3,5,6,7,16,18,20,
21,23,28,32,33,35,41,44,45,57,68,69,74,76,79,91,110,111,113,124,125,127,129,
131,133,135,138,139,144,167,178,193,217,219,222,276,281,284,311,313,314,316,
319,320,324,329,330,334,346,348,350,455,457,459,462,523,526,555,558,578,653,
654,708,709,711,713,872,874,876,927,977,1044,1099,1183,1259,1273],[1,2,3,4,6,
7,14,16,18,19,20,22,24,28,29,30,32,33,34,36,41,43,57,63,65,67,68,70,75,78,91,
109,111,112,116,117,120,124,126,127,129,132,134,136,138,139,144,176,191,213,
219,221,272,281,282,284,297,298,301,302,303,304,311,315,321,325,329,331,334,
335,346,349,443,457,460,462,515,524,546,549,550,551,653,654,685,686,711,714,
870,874,875,877,908,977,1045,1098,1099,1181,1259,1274],[1,2,3,4,6,7,8,9,10,11,
12,13,14,16,17,18,19,20,28,29,30,31,32,33,36,37,38,39,40,41,42,46,47,49,51,58,
59,60,63,64,68,71,91,92,93,94,95,96,97,98,99,100,101,102,103,104,111,114,115,
117,127,130,131,134,135,138,139,140,141,142,143,144,145,146,147,148,149,150,
151,152,153,154,155,164,179,180,181,182,213,214,215,216,217,218,219,220,223,
224,225,228,229,233,234,237,239,240,241,242,243,244,245,249,254,257,261,262,
280,287,288,289,290,291,298,300,302,303,320,326,328,329,332,333,336,337,340,
346,347,351,352,357,365,366,396,397,398,399,400,401,402,415,418,419,442,445,
451,457,458,462,463,464,467,469,470,471,474,475,477,478,485,487,488,489,490,
491,492,493,494,495,531,532,535,548,563,607,608,609,610,611,612,613,614,615,
620,622,624,625,628,630,632,653,654,657,668,682,686,687,712,713,716,717,718,
720,730,732,736,737,739,742,744,745,746,747,748,754,757,758,759,760,767,786,
796,831,834,837,838,839,840,841,842,854,855,861,871,873,902,907,931,934,949,
962,963,964,982,983,984,985,986,987,990,1005,1015,1024,1025,1026,1029,1030,
1033,1084,1085,1086,1099,1100,1103,1107,1109,1133,1136,1159,1160,1170,1182,
1211,1212,1213,1214,1217,1249,1252,1262,1275],[1,2,3,4,6,7,8,9,10,11,12,14,16,
18,19,20,22,24,28,29,30,31,32,33,34,37,38,41,43,46,47,49,50,52,54,56,63,65,67,
68,70,75,78,91,92,93,94,95,96,97,98,99,100,101,102,103,104,109,111,112,116,
120,122,127,128,131,132,135,136,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,154,155,157,159,160,161,162,163,179,180,181,191,213,214,215,216,
217,218,219,221,223,224,225,226,229,230,234,235,238,240,241,245,246,250,252,
254,255,256,258,260,263,265,272,302,304,306,308,310,320,321,322,323,329,331,
332,333,335,337,339,342,343,344,345,346,349,354,355,359,360,362,363,364,367,
368,370,371,396,397,398,399,400,401,402,414,415,416,418,419,420,421,423,424,
443,446,448,452,456,457,460,462,463,464,466,468,471,472,475,476,477,478,487,
488,489,490,491,492,493,494,496,498,531,549,551,553,565,566,607,608,609,610,
611,613,615,616,618,620,621,622,625,626,629,633,635,653,654,655,669,671,685,
689,690,713,714,715,718,719,721,727,729,734,735,739,740,743,745,746,748,750,
751,752,755,756,757,758,762,763,765,766,768,770,786,795,796,797,832,836,837,
838,839,843,845,848,849,850,854,855,857,870,875,910,911,930,936,937,951,952,
962,963,965,982,983,984,985,986,987,988,1009,1016,1018,1023,1026,1027,1028,
1030,1031,1084,1088,1090,1099,1102,1104,1106,1110,1114,1115,1132,1134,1159,
1160,1172,1181,1211,1212,1213,1215,1219,1251,1253,1255,1262,1276],[1,3,5,6,7,
8,9,10,11,12,16,18,20,21,23,28,32,33,35,37,38,41,44,45,48,53,55,68,69,74,76,
79,91,92,93,94,95,96,97,98,99,100,101,102,103,104,111,124,125,127,129,131,133,
135,138,139,140,141,142,143,144,145,146,147,148,149,150,151,156,158,167,179,
180,181,193,216,217,218,219,222,223,227,231,232,234,236,240,241,247,248,251,
253,259,264,266,281,311,313,314,316,319,320,324,329,330,332,333,334,338,341,
346,348,350,353,356,358,361,369,396,397,398,399,400,401,402,415,418,419,450,
453,455,457,459,462,463,464,465,471,473,475,477,478,482,487,488,489,490,491,
492,493,494,497,531,555,558,564,578,608,609,610,611,617,619,623,625,627,631,
634,653,654,656,667,692,695,697,699,700,703,706,708,709,710,711,713,718,725,
739,741,745,746,749,753,757,758,761,764,769,786,796,835,837,838,839,844,846,
847,854,855,859,872,874,914,920,927,935,950,962,966,982,983,984,985,986,987,
989,1010,1013,1014,1017,1022,1026,1030,1032,1084,1087,1089,1099,1101,1105,
1108,1113,1124,1128,1159,1160,1171,1183,1211,1212,1213,1216,1218,1250,1254,
1262,1277],[1,3,6,7,8,9,10,16,18,20,28,32,33,37,38,41,57,68,91,92,93,96,97,
111,124,127,129,138,139,140,141,142,143,144,145,146,150,180,216,219,223,240,
281,284,285,286,311,329,332,334,346,396,418,450,457,462,463,464,465,487,488,
489,490,491,609,653,654,667,674,692,711,745,753,757,837,854,874,977,982,985,
1022,1099,1108,1157,1211,1259,1278],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,41,43,46,47,48,49,
50,52,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,91,92,93,96,97,109,110,111,112,113,114,115,116,117,118,120,122,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
142,143,145,148,150,151,152,153,154,155,156,157,158,159,160,161,162,163,169,
170,171,172,174,175,179,180,181,182,183,184,185,186,187,188,189,190,191,192,
193,194,195,196,197,198,199,200,201,202,203,204,205,206,213,214,216,217,218,
219,221,223,224,225,226,227,228,229,230,240,245,246,250,271,272,273,274,275,
276,277,278,279,280,281,282,283,287,289,291,292,293,294,295,296,297,298,299,
300,301,302,303,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,
340,341,342,343,344,345,351,352,353,354,355,356,362,363,365,366,367,368,369,
370,371,372,373,374,375,376,377,378,379,380,381,382,383,389,396,414,415,416,
417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,434,442,443,
445,446,450,451,452,453,454,455,456,462,463,464,465,466,467,468,469,470,471,
472,473,474,475,476,479,480,481,487,488,489,490,496,506,511,512,513,514,515,
516,517,518,519,520,521,522,523,531,532,533,534,538,539,541,542,543,544,545,
546,547,548,549,550,553,554,555,556,557,558,559,560,561,562,563,564,565,566,
567,568,569,570,571,572,573,574,575,576,577,580,581,582,583,584,585,587,588,
589,590,591,592,593,594,595,596,608,609,613,615,616,654,655,656,657,658,659,
660,661,662,663,664,665,666,667,668,669,670,671,672,673,675,683,686,689,692,
693,694,695,696,697,698,701,702,703,704,705,706,709,710,711,712,713,714,715,
716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,
735,736,737,738,745,746,747,748,749,750,751,752,753,754,755,756,772,779,780,
781,782,783,784,785,795,796,797,798,799,801,802,803,804,805,806,807,808,809,
810,811,812,814,815,819,820,827,834,835,836,841,843,854,873,874,875,876,877,
878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,
897,906,907,908,909,910,913,914,915,916,917,918,919,923,924,925,926,927,928,
929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,
948,961,985,986,987,988,989,990,991,992,994,1011,1014,1022,1023,1024,1025,
1026,1027,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,
1055,1056,1057,1058,1059,1060,1061,1065,1066,1067,1068,1069,1070,1071,1072,
1073,1074,1075,1077,1078,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,
1117,1118,1119,1127,1128,1129,1130,1131,1132,1133,1138,1143,1144,1145,1146,
1147,1148,1149,1150,1151,1160,1161,1162,1186,1187,1188,1189,1190,1191,1192,
1193,1194,1195,1196,1197,1198,1199,1200,1202,1203,1204,1206,1217,1218,1219,
1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1243,1257,1258,
1260,1261,1268,1269,1270,1279],[1,2,3,4,5,6,7,13,14,15,16,17,18,19,20,21,22,
23,24,25,28,29,30,31,32,33,34,35,36,39,41,42,43,44,45,57,58,59,60,61,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,91,109,110,111,112,113,114,115,
116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,
135,136,137,138,139,144,164,165,167,168,176,177,178,182,183,184,185,186,187,
189,191,192,193,198,213,214,217,219,220,221,222,271,272,273,276,277,280,281,
282,284,287,288,289,291,292,293,294,295,296,297,298,299,300,301,302,303,304,
305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,
324,325,326,327,328,329,330,331,334,335,346,347,348,349,350,413,425,442,443,
444,445,446,455,457,458,459,460,461,462,512,514,515,520,523,524,525,526,532,
533,534,535,536,537,538,539,541,542,543,544,545,546,547,548,549,550,551,552,
553,554,555,556,557,558,578,579,653,654,683,684,685,686,687,688,689,707,708,
709,711,712,713,714,780,793,798,800,801,870,871,872,873,874,875,876,877,905,
906,907,908,909,910,927,928,977,1041,1042,1043,1044,1045,1046,1065,1098,1099,
1143,1181,1182,1183,1226,1259,1272,1273,1274,1280],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,28,29,30,31,32,33,34,35,36,37,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,58,59,60,61,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,76,77,78,79,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,109,111,112,114,115,116,117,118,119,120,121,122,123,124,125,126,127,
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,
166,167,168,169,170,173,179,180,181,182,183,184,185,186,187,189,191,192,193,
198,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,
250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,272,280,
281,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,
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,
362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,396,397,398,
399,400,401,402,414,415,416,418,419,420,421,423,424,425,442,443,444,445,446,
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,
504,505,507,508,514,531,532,533,534,535,536,537,538,539,540,541,542,543,544,
545,546,547,548,549,550,551,552,553,554,555,556,557,558,563,564,565,566,567,
568,573,578,579,580,581,582,583,586,587,588,607,608,609,610,611,612,613,614,
615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,
634,635,653,654,655,656,657,667,668,669,671,682,683,684,685,686,687,688,689,
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,
766,767,768,769,770,771,786,795,796,797,798,800,801,807,831,832,833,834,835,
836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,
855,856,857,858,859,860,861,862,863,864,870,871,872,873,874,875,878,896,902,
903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,
922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,946,
949,950,951,952,953,954,955,956,957,962,963,964,965,966,982,983,984,985,986,
987,988,989,990,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,
1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,
1032,1033,1034,1041,1042,1064,1065,1066,1068,1082,1084,1085,1086,1087,1088,
1089,1090,1093,1094,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,
1110,1113,1114,1115,1116,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,
1132,1133,1134,1135,1136,1137,1159,1160,1170,1171,1172,1173,1174,1175,1176,
1181,1182,1183,1184,1185,1186,1187,1201,1202,1211,1212,1213,1214,1215,1216,
1217,1218,1219,1223,1226,1249,1250,1251,1252,1253,1254,1255,1256,1257,1262,
1266,1267,1275,1276,1277,1281],[1,2,3,4,6,7,8,9,10,13,14,16,17,18,19,20,28,29,
31,32,33,34,37,38,39,41,42,46,47,49,50,51,57,58,59,60,63,64,68,71,91,92,93,96,
97,109,111,112,114,115,116,122,124,127,128,129,130,138,139,140,141,142,143,
144,145,146,150,152,153,154,155,160,161,164,177,180,182,214,216,219,220,223,
224,225,226,229,240,243,244,249,272,280,281,284,285,286,287,288,292,293,302,
306,307,311,312,328,329,332,334,336,337,340,343,346,347,351,352,357,365,366,
396,418,420,421,445,450,451,452,457,458,462,463,464,465,466,467,468,469,487,
488,489,490,491,495,514,525,527,533,535,548,563,609,613,614,653,654,667,668,
669,674,687,689,692,693,694,711,712,715,716,720,722,723,745,747,748,751,753,
757,759,760,837,841,842,854,871,873,874,875,896,898,909,913,934,949,977,982,
985,1015,1022,1023,1024,1042,1099,1103,1108,1109,1110,1130,1157,1182,1187,
1211,1252,1259,1272,1278,1282],[1,3,5,6,7,8,9,10,16,18,20,21,23,28,32,33,35,
37,38,41,44,45,48,53,57,68,69,74,76,79,91,92,93,96,97,110,111,113,124,125,127,
129,131,133,135,138,139,140,141,142,143,144,145,146,148,150,151,156,158,167,
178,180,193,216,217,218,219,222,223,227,240,247,248,251,276,281,284,285,286,
311,313,314,316,319,320,324,329,330,332,333,334,338,341,346,348,350,353,356,
358,369,396,417,418,422,450,453,455,457,459,462,463,464,465,471,473,475,487,
488,489,490,491,497,523,526,529,530,555,558,564,578,608,609,617,653,654,663,
667,674,692,695,697,703,706,708,709,710,711,713,718,725,745,746,749,753,757,
761,764,835,837,844,854,872,874,876,895,900,914,927,935,950,977,982,985,1013,
1014,1022,1026,1044,1099,1101,1108,1111,1128,1157,1183,1188,1211,1250,1259,
1273,1278,1283],[1,2,3,4,6,7,8,9,10,14,16,18,19,20,22,24,28,29,30,32,33,34,36,
37,38,41,43,46,47,50,52,57,63,65,67,68,70,75,78,91,92,93,96,97,109,111,112,
116,117,120,124,126,127,129,132,134,136,138,139,140,141,142,143,144,145,146,
150,154,155,157,159,162,163,176,180,191,213,216,219,221,223,225,226,228,230,
240,245,246,250,272,281,282,284,285,286,297,298,301,302,303,304,311,315,321,
325,329,331,332,334,335,337,339,342,344,345,346,349,354,355,359,367,368,396,
418,420,421,443,450,452,454,457,460,462,463,464,465,470,472,474,476,487,488,
489,490,491,496,515,524,528,546,549,550,551,565,609,615,616,653,654,667,669,
670,674,685,686,692,696,698,711,714,717,719,721,724,726,745,748,750,752,753,
754,755,756,757,762,763,837,843,845,854,870,874,875,877,897,899,908,915,936,
946,951,977,982,985,1016,1022,1025,1027,1045,1098,1099,1102,1108,1110,1112,
1131,1157,1181,1189,1210,1211,1251,1259,1274,1278,1284],[1,3,5,6,7,16,18,20,
21,23,26,27,28,32,33,41,44,45,57,68,69,74,76,79,80,82,83,86,87,88,90,91,111,
124,127,129,138,139,144,167,174,179,193,194,196,202,206,207,208,209,217,219,
222,281,284,311,329,330,334,346,348,350,389,390,391,393,415,431,433,436,437,
441,455,457,459,462,558,559,561,576,578,603,652,653,654,656,678,708,711,805,
815,816,817,825,872,874,944,976,977,979,986,997,1002,1075,1076,1099,1113,1163,
1183,1225,1259,1285],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,23,
24,25,28,29,30,31,32,33,34,35,36,37,38,39,41,42,43,44,45,46,47,48,49,50,51,52,
53,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,91,92,
93,96,97,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,
145,146,148,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,
167,168,169,170,173,176,177,178,180,182,183,184,185,186,187,189,191,192,193,
198,213,214,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,240,
243,244,245,246,247,248,249,250,251,271,272,273,276,277,280,281,282,284,285,
286,287,288,289,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,
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,
344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,362,363,365,
366,367,368,369,370,371,372,373,374,375,376,377,396,413,417,418,420,421,422,
425,442,443,444,445,446,450,451,452,453,454,455,456,457,458,459,460,461,462,
463,464,465,466,467,468,469,470,471,472,473,474,475,476,479,480,481,487,488,
489,490,491,495,496,497,500,501,502,503,504,512,514,515,520,523,524,525,526,
527,528,529,530,532,533,534,535,536,537,538,539,541,542,543,544,545,546,547,
548,549,550,551,552,553,554,555,556,557,558,563,564,565,566,567,568,573,578,
579,580,581,582,583,586,587,588,608,609,613,614,615,616,617,653,654,661,663,
664,667,668,669,670,672,674,683,684,685,686,687,688,689,692,693,694,695,696,
697,698,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,
718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,
737,738,745,746,747,748,749,750,751,752,753,754,755,756,757,759,760,761,762,
763,764,771,780,793,794,798,800,801,807,834,835,836,837,841,842,843,844,845,
852,853,854,870,871,872,873,874,875,876,877,888,892,895,896,897,898,899,900,
905,906,907,908,909,910,913,914,915,916,917,918,919,923,924,925,926,927,928,
929,930,931,932,933,934,935,936,937,938,939,946,949,950,951,953,954,955,956,
977,982,985,1011,1012,1013,1014,1015,1016,1020,1021,1022,1023,1024,1025,1026,
1027,1041,1042,1043,1044,1045,1046,1058,1063,1065,1066,1068,1082,1098,1099,
1101,1102,1103,1108,1109,1110,1111,1112,1126,1127,1128,1129,1130,1131,1132,
1133,1143,1157,1181,1182,1183,1185,1187,1188,1189,1190,1191,1202,1210,1211,
1226,1228,1250,1251,1252,1259,1267,1272,1273,1274,1278,1280,1282,1283,1284,
1286],[1,2,3,4,5,6,7,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,39,41,42,43,44,45,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,
74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,109,111,112,114,115,116,
119,120,121,122,124,127,128,129,130,138,139,144,164,165,167,168,174,177,179,
182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,
201,202,203,204,205,206,207,208,209,210,211,212,213,214,217,219,220,221,222,
272,280,281,284,287,288,292,293,302,304,305,306,307,311,312,328,329,330,331,
334,346,347,348,349,350,389,390,391,393,414,415,416,425,426,427,428,429,430,
431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,455,457,458,
459,460,461,462,514,525,533,535,536,537,543,548,549,551,552,557,558,559,560,
561,562,576,578,579,603,604,652,653,654,655,656,657,675,676,677,678,679,680,
681,683,684,685,687,688,689,707,708,711,712,799,800,801,802,803,804,805,806,
815,816,817,825,870,871,872,873,874,875,878,901,905,909,944,976,977,979,986,
992,993,997,1002,1003,1041,1042,1067,1075,1076,1097,1099,1107,1113,1114,1120,
1161,1163,1164,1181,1182,1183,1186,1220,1225,1226,1259,1272,1285,1287],[1,3,5,
6,7,8,9,10,16,18,20,21,23,26,27,28,32,33,37,38,41,44,45,48,53,57,68,69,74,76,
79,80,82,83,86,87,88,90,91,92,93,96,97,111,124,127,129,138,139,140,141,142,
143,144,145,146,150,156,158,167,171,172,174,175,179,180,181,193,194,196,202,
206,207,208,209,216,217,218,219,222,223,240,247,248,251,281,284,285,286,311,
329,330,332,334,338,341,346,348,350,353,356,358,369,378,380,381,384,385,386,
388,389,390,391,392,393,394,395,396,415,418,419,431,433,436,437,441,450,455,
457,459,462,463,464,465,487,488,489,490,491,497,506,531,558,559,561,564,569,
571,574,576,577,578,584,590,597,598,599,603,608,609,617,652,653,654,656,667,
674,678,692,708,711,745,749,753,757,761,764,772,773,774,775,796,805,808,813,
815,816,817,818,821,822,825,826,828,835,837,844,854,872,874,935,940,942,944,
945,947,948,950,958,976,977,978,979,980,981,982,985,986,987,989,995,997,1002,
1013,1022,1069,1075,1076,1078,1079,1080,1081,1083,1099,1101,1108,1113,1138,
1156,1157,1158,1160,1163,1165,1167,1183,1204,1205,1211,1218,1225,1244,1250,
1259,1265,1278,1285,1288],[1,2,3,4,5,6,7,8,9,10,13,14,15,16,17,18,19,20,21,22,
23,24,25,26,27,28,29,30,31,32,33,34,37,38,39,41,42,43,44,45,46,47,48,49,50,51,
52,53,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,87,88,89,90,91,92,93,96,97,109,111,112,114,115,116,119,120,
121,122,124,127,128,129,130,138,139,140,141,142,143,144,145,146,150,152,153,
154,155,156,157,158,159,160,161,164,165,167,168,169,170,171,172,173,174,175,
177,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,216,
217,218,219,220,221,222,223,224,225,226,229,230,240,243,244,245,246,247,248,
249,250,251,272,280,281,284,285,286,287,288,292,293,302,304,305,306,307,311,
312,328,329,330,331,332,334,336,337,338,339,340,341,342,343,346,347,348,349,
350,351,352,353,354,355,356,357,358,359,365,366,367,368,369,372,373,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,
395,396,414,415,416,418,419,420,421,423,424,425,426,427,428,429,430,431,432,
433,434,435,436,437,438,439,440,441,442,443,444,445,446,450,451,452,455,456,
457,458,459,460,461,462,463,464,465,466,467,468,469,487,488,489,490,491,495,
496,497,500,501,502,503,504,506,514,525,527,531,533,535,536,537,543,548,549,
551,552,557,558,559,560,561,562,563,564,565,567,568,569,570,571,572,573,574,
575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,
594,595,596,597,598,599,600,601,602,603,604,605,606,608,609,613,614,615,616,
617,652,653,654,655,656,657,667,668,669,671,674,675,676,677,678,679,680,681,
683,684,685,687,688,689,692,693,694,707,708,711,712,715,716,720,722,723,745,
747,748,749,750,751,753,757,759,760,761,762,763,764,771,772,773,774,775,795,
796,797,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,
816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,834,835,836,837,
841,842,843,844,845,852,853,854,870,871,872,873,874,875,878,896,898,901,905,
909,913,934,935,936,938,939,940,941,942,943,944,945,947,948,949,950,951,953,
954,955,956,958,959,976,977,978,979,980,981,982,985,986,987,988,989,990,992,
993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1011,1012,1013,1015,1016,
1020,1021,1022,1023,1024,1041,1042,1067,1068,1069,1070,1071,1072,1073,1074,
1075,1076,1077,1078,1079,1080,1081,1082,1083,1097,1099,1101,1102,1103,1107,
1108,1109,1110,1113,1114,1115,1116,1120,1121,1126,1130,1138,1156,1157,1158,
1160,1161,1162,1163,1164,1165,1166,1167,1168,1181,1182,1183,1185,1186,1187,
1203,1204,1205,1209,1211,1217,1218,1219,1220,1221,1225,1226,1243,1244,1245,
1250,1251,1252,1257,1259,1263,1265,1267,1272,1278,1282,1285,1287,1288,1289],[
1,3,5,6,7,11,16,18,20,21,23,26,27,28,32,33,35,41,44,45,55,57,68,69,74,76,79,
80,82,83,86,87,88,90,91,94,98,105,107,110,111,113,124,125,127,129,131,133,135,
138,139,144,147,167,174,178,179,193,194,196,202,206,207,208,209,217,219,222,
231,234,236,253,268,270,274,276,278,281,283,284,311,313,314,316,319,320,324,
329,330,334,346,348,350,361,389,390,391,393,397,403,406,415,431,433,436,437,
441,455,457,459,462,477,482,510,516,521,523,526,555,558,559,561,576,578,603,
610,619,638,640,652,653,654,656,658,678,699,708,709,711,713,739,741,778,782,
787,805,815,816,817,825,838,846,847,872,874,876,880,920,927,944,969,976,977,
979,983,986,997,1002,1017,1038,1044,1047,1049,1052,1075,1076,1091,1099,1105,
1113,1146,1155,1163,1177,1183,1196,1212,1225,1235,1239,1254,1259,1273,1285,
1290],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,
31,32,33,34,35,36,39,40,41,42,43,44,45,54,55,57,58,59,60,61,62,63,64,65,66,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,94,98,
105,107,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,
126,127,128,129,130,131,132,133,134,135,136,137,138,139,144,147,164,165,166,
167,168,174,176,177,178,179,182,183,184,185,186,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
213,214,215,217,219,220,221,222,231,233,234,235,236,237,242,252,253,267,268,
270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,287,288,289,290,
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,
329,330,331,334,335,346,347,348,349,350,360,361,389,390,391,393,397,403,406,
413,414,415,416,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,
440,441,442,443,444,445,446,447,448,449,455,457,458,459,460,461,462,477,482,
483,485,486,499,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,
524,525,526,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,
548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,576,578,579,603,
604,607,610,612,618,619,636,637,638,640,652,653,654,655,656,657,658,675,676,
677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,699,707,708,709,
711,712,713,714,739,740,741,742,776,777,778,779,780,781,782,783,784,785,787,
793,798,799,800,801,802,803,804,805,806,815,816,817,825,831,832,833,838,840,
846,847,848,851,865,870,871,872,873,874,875,876,877,878,879,880,881,901,902,
903,904,905,906,907,908,909,910,911,912,920,921,927,928,944,960,961,967,968,
969,976,977,979,983,986,992,993,997,1002,1003,1005,1006,1007,1008,1009,1017,
1019,1038,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,
1064,1065,1067,1075,1076,1091,1095,1097,1098,1099,1100,1104,1105,1107,1113,
1114,1120,1122,1140,1143,1144,1145,1146,1147,1148,1149,1150,1155,1161,1163,
1164,1169,1177,1178,1181,1182,1183,1184,1186,1196,1206,1212,1220,1222,1225,
1226,1227,1235,1236,1239,1249,1253,1254,1259,1260,1266,1272,1273,1274,1280,
1285,1287,1290,1291],[1,3,5,6,7,8,9,10,11,12,16,18,20,21,23,26,27,28,32,33,35,
37,38,41,44,45,48,53,55,57,68,69,74,76,79,80,82,83,86,87,88,90,91,92,93,94,95,
96,97,98,99,100,101,102,103,104,105,106,107,108,110,111,113,124,125,127,129,
131,133,135,138,139,140,141,142,143,144,145,146,147,148,149,150,151,156,158,
167,171,172,174,175,178,179,180,181,193,194,196,202,206,207,208,209,216,217,
218,219,222,223,227,231,232,234,236,240,241,247,248,251,253,259,264,266,268,
270,274,276,278,281,283,284,285,286,311,313,314,316,319,320,324,329,330,332,
333,334,338,341,346,348,350,353,356,358,361,369,378,380,381,384,385,386,388,
389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,
408,409,410,411,412,415,417,418,419,422,431,433,436,437,441,450,453,455,457,
459,462,463,464,465,471,473,475,477,478,482,487,488,489,490,491,492,493,494,
497,506,510,516,521,523,526,529,530,531,555,558,559,561,564,569,571,574,576,
577,578,584,590,597,598,599,603,608,609,610,611,617,619,623,625,627,631,634,
638,640,642,643,646,647,650,651,652,653,654,656,658,659,660,663,665,667,673,
674,678,692,695,697,699,700,703,706,708,709,710,711,713,718,725,739,741,745,
746,749,753,757,758,761,764,769,772,773,774,775,778,782,786,787,788,789,790,
791,792,796,805,808,813,815,816,817,818,821,822,825,826,828,835,837,838,839,
844,846,847,854,855,859,867,872,874,876,880,883,886,893,895,900,914,920,927,
935,940,942,944,945,947,948,950,958,962,966,969,973,974,976,977,978,979,980,
981,982,983,984,985,986,987,989,991,995,997,1002,1010,1013,1014,1017,1022,
1026,1030,1032,1037,1038,1039,1040,1044,1047,1049,1052,1055,1062,1069,1075,
1076,1078,1079,1080,1081,1083,1084,1087,1089,1091,1092,1099,1101,1105,1108,
1111,1113,1118,1124,1128,1138,1146,1154,1155,1156,1157,1158,1159,1160,1163,
1165,1167,1171,1177,1180,1183,1188,1192,1194,1196,1197,1199,1204,1205,1207,
1211,1212,1213,1216,1218,1225,1229,1235,1239,1240,1241,1242,1244,1247,1250,
1254,1258,1259,1262,1265,1269,1271,1273,1277,1278,1283,1285,1288,1290,1292],[
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,
1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,
1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,
1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,
1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,
1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,
1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,
1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,
1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,
1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,
1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,
1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,
1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,
1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,
1284,1285,1286,1287,1288,1289,1290,1291,1292,1293]],
0,
[[1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,1],[1,2,1,
1],[1,1,1,1,1],[1,1,1,1,1],[1,3,1],[1,1,1],[1,3,1],[1,1,2,1],[1,1,1],[1,2,1,
1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,2,1,1],[1,3,1],[1,1,1],[1,1],[1,1,1,1],[1,1,
1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,
1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[
1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,
1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1],[1,2,3,1,1,1,1],[1,3,3,1,3,3,1,1],[1,2,
1,2,1,1,1,1],[1,2,2,2,1,1,2,2,1,1,1],[1,2,1,2,1,1,1,1],[1,1,3,3,3,1,3,1],[1,1,
1,1,1,1,1,1],[1,1,3,3,3,1,3,1],[1,1,1,3,2,1,2,1,1,2,1],[1,1,1,1,1,1,1,1],[1,5,
1,1,1,1],[1,4,3,1,3,3,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,1,1,1,1,1],[1,1,
2,2,1,1,1,1],[1,6,1,4,3,1],[1,3,2,1,1,1,1],[1,3,2,1,1,1,1],[1,2,4,1,2,1,2,2,
1],[1,1,4,1,1,1,1],[1,2,1,2,1,1],[1,2,5,1,4,2,1],[1,2,1,1,2,1],[1,2,1,1,2,1],[
1,2,3,1,1,1,1],[1,1,2,2,1,1,1,1],[1,4,1,2,1,1],[1,7,7,1],[1,3,1,2,1],[1,5,2,1,
1],[1,1,1,1],[1,1,3,1],[1,2,2,1],[1,1,1,2,1],[1,1,1,2,1],[1,1,1,2,1],[1,1,1,2,
1],[1,1,1,2,1],[1,1,2,1,1],[1,3,1,1],[1,1,1,2,1],[1,1,2,1,1],[1,1,1,2,1],[1,1,
1,1,1,1],[1,3,1,1],[1,3,1,1],[1,4,1],[1,1,3,1],[1,1,1],[1,1,1],[1,1,1,1],[1,1,
1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,2,1,1,1,2,1,1],[1,4,3,1,3,1,1,1,1],[1,1,
3,3,1,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1],[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],[1,1,3,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,1,
3,1,3,1,1,1,1],[1,7,1,3,2,1,1],[1,4,3,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,1,
1,3,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,3,1,1,3,1],[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],[1,4,3,
1,3,1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,1,1,3,1],[
1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,3,4,1,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,
3,4,1,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,6,1,1,3,1,2,1],[1,1,1,3,1,1],[1,3,1,3,
1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,2,1,1,1,2,1,1],[1,1,6,1,3,1,2,1],[1,1,2,1,1,
1,2,1],[1,1,1,3,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,
1],[1,1,1,3,1,1],[1,3,4,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[
1,3,4,1,3,1,1,1,1],[1,6,1,1,3,1,1,1,1],[1,3,3,1,1,3,1,1,1,1],[1,6,1,1,3,2,1,
1],[1,3,1,1,3,1],[1,1,1,1,1,1],[1,6,1,1,3,1,1,1,1],[1,3,4,1,1],[1,3,4,1,1],[1,
1,1,1],[1,7,1,1],[1,7,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,5,3,3,5,1,1,1,3,
1,1,1,1,1,1,1,1,1],[1,2,4,2,3,1,2,2,1,1,3,1,3,1,1,1,1,1,1,1,1,1],[1,4,6,4,1,6,
12,4,4,3,6,4,6,4,1,1],[1,3,3,3,2,3,3,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,2,6,
1,1,2,2,2,2,1,3,2,2,1,1,2,1,1],[1,2,4,6,3,1,6,6,1,6,3,3,3,6,3,2,6,1,3,1],[1,2,
2,2,5,1,2,2,1,1,4,2,2,1,2,1,1,2,1],[1,2,2,2,1,1,2,2,1,2,1,1,1,1,2,2,1,1,1],[1,
2,2,2,1,1,2,2,1,1,2,2,1,1,1,1],[1,1,5,5,5,1,1,3,1,3,1,1,1,1,1,1,1,1,1],[1,1,3,
5,2,3,2,1,1,1,1,3,1,2,1,1,1,1,1,1,1,1],[1,8,3,1,4,2,5,3,2,1,1,2,1,1],[1,6,9,2,
9,18,6,6,9,1],[1,4,4,3,1,2,3,2,3,2,2,1,2,1,1,2,1],[1,4,3,1,2,3,3,2,1,1,1,1],[
1,4,3,1,1,3,3,3,1,3,3,1],[1,6,4,1,1,4,2,3,2,1,2,2,1,1,2,1,1],[1,2,4,5,1,2,1,2,
4,1,2,2,1,2,1,1,2,1],[1,2,1,2,1,2,2,2,1,1],[1,2,1,1,2,1,3,1,1,1,1],[1,6,5,4,3,
4,2,2,1,1,1,4,1],[1,6,1,4,3,4,1,2,1],[1,2,8,1,4,1,4,4,2,2,1,4,1],[1,2,4,1,2,2,
1,2,2,2,1,1,1,1],[1,2,5,4,1,4,2,2,1,1],[1,2,9,1,4,8,2,1,2,1,1,2,1],[1,2,5,1,4,
2,4,1,2,1],[1,2,5,1,2,4,1,2,2,1,1,1],[1,2,1,1,2,1,2,1],[1,4,5,2,2,1,1,1,1,1],[
1,4,1,2,3,1,1,1,1],[1,1,2,2,2,2,1,1],[1,3,2,2,3,1,1,1],[1,3,1,1,2,3,1,1,1],[1,
3,1,1,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,9,2,2,6,6,1,1],[1,3,
2,2,3,1,1,1],[1,9,2,2,6,6,1,1],[1,3,2,2,3,1,1,1],[1,1,1,1,2,1,1,2,1,1],[1,9,1,
1,2,3,3,6,1,1],[1,3,1,1,2,3,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,1,3,1,1],[
1,3,1,1,2,3,1,1,1],[1,3,1,1,2,3,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,1,3,1,
1],[1,3,1,1,2,1,3,1,1],[1,1,1,1,2,1,1,2,1,1],[1,3,1,1,2,3,1,1,1],[1,9,1,1,2,3,
3,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,3,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,
1,1,2,3,1,1,1],[1,3,1,1,2,3,1,1,1],[1,3,1,1,2,3,1,1,1],[1,3,3,1,3,1,1,1],[1,3,
1,1,2,3,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,3,1,1,1],[1,9,1,1,2,3,3,6,1,
1],[1,1,1,1,2,1,1,2,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,2,1,3,1,1,1],[1,9,1,2,1,3,
6,3,1,1],[1,3,1,2,1,1,3,1,1],[1,9,3,1,9,3,1,1],[1,3,3,1,3,1,1,1],[1,3,1,1,2,3,
1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,1,2,1,3,6,3,1,1],[1,3,1,1,2,3,1,1,1],[1,9,1,
1,2,3,3,6,1,1],[1,3,1,1,2,3,1,1,1],[1,9,1,1,1,1,3,3,3,3,1,1],[1,3,3,1,3,1,1,
1],[1,3,3,1,3,1,1,1],[1,9,3,1,9,3,1,1],[1,3,3,1,3,1,1,1],[1,9,3,1,9,3,1,1],[1,
3,3,1,3,1,1,1],[1,3,4,3,1,1,1],[1,9,4,12,1,1],[1,3,1,3,3,1,1,1],[1,9,1,3,1,
1],[1,2,1,1,1,2,1,1],[1,1,5,5,5,1,1,1,1,1],[1,1,5,5,5,1,1,1,1,1],[1,3,1,1,3,
1],[1,1,1,1,1,1],[1,6,5,5,1,1,1,1,1],[1,1,10,5,1,1,2,1],[1,1,10,5,1,1,2,1],[1,
1,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,7,1,1],[
1,1,1,1],[1,7,1,1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,3,3,1,4,3,3,1,4,1,1,1],[1,
3,3,1,1,3,3,1,3,3,1,1,3,3,1,1],[1,3,3,1,4,3,3,1,4,1,1,1],[1,2,1,2,1,1,1,1,2,1,
2,1,1,1,1,1],[1,5,7,3,1,7,9,3,2,1,2,1,1,3,1,2,2,1,1,1],[1,2,1,6,1,1,3,3,2,1,2,
3,1,1,1,1],[1,2,4,6,3,1,1,6,6,3,3,2,1,1,2,1,3,1,2,2,1,1,1],[1,2,1,6,1,1,3,3,2,
1,2,3,1,1,1,1],[1,4,4,4,3,1,3,4,6,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,7,
7,1,7,3,9,1,2,1,2,1,3,2,1,1,2,1,1],[1,1,3,3,1,3,1,3,1,3,3,1,3,1,3,1],[1,1,1,7,
6,1,1,6,3,3,6,1,1,2,2,1,3,1,2,1,1,2,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,1,3,3,4,3,1,3,4,1,1,
1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,1,3,7,4,1,3,4,3,3,6,1,1,1,1,1,1,1,3,1,1,1,1,1,
1,1,1],[1,3,3,9,1,9,1,9,1,3,3,3,3,1,3,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,
3,3,9,1,9,1,9,1,3,3,3,3,1,3,1],[1,3,1,5,6,1,3,6,1,3,6,1,1,1,2,2,3,1,2,1,1,2,
1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,9,1,1,3,3,2,3,3,1,1,1,1],[1,7,6,1,1,3,
3,2,1,2,3,1,1,1,1],[1,12,3,1,10,9,3,3,1,3,3,3,1,1],[1,7,6,1,3,1,3,2,1,2,3,1,1,
1,1],[1,7,2,1,3,1,3,2,1,2,3,1,1,1,1],[1,6,9,1,1,9,9,1,3,3,3,3,1,3,1],[1,4,8,3,
1,4,3,6,6,1,1,2,1,2,3,1,2,1,1,2,1],[1,4,3,1,1,3,3,1,1,1,3,1,1,1,1],[1,4,3,1,4,
3,1,1,1,3,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,
3,6,1,1,3,3,3,2,3,1,1,1,1],[1,1,12,1,3,1,3,1,4,3,1,1,1,1],[1,3,6,1,1,3,3,3,2,
3,1,1,1,1],[1,1,8,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,
6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,9,4,1,3,3,4,3,1,1],[1,
4,3,4,1,3,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,5,1,
1,1,1,5,1,1,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,1,3,1,
3,3,2,3,1,1,1,1],[1,3,3,9,1,9,1,9,3,1,3,3,1,3,3,1],[1,4,3,1,1,3,3,4,3,1,1,3,3,
1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,4,3,4,1,3,3,4,1,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,3,9,1,9,1,9,3,1,3,3,1,3,3,1],[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],[1,9,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,
1,1],[1,6,1,4,4,3,4,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,
9,3,3,1,9,9,1,3,3,1,3,1,3,3,1],[1,3,6,1,3,1,3,3,2,3,1,1,1,1],[1,6,1,1,4,3,6,1,
1,4,3,1],[1,3,3,9,1,9,1,9,3,1,3,3,1,3,3,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,3,
2,1,1,1,1,3,2,1,1,1,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,6,1,4,4,3,4,1,1,1],[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],[1,3,3,9,1,9,
1,9,3,1,3,3,1,3,3,1],[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,
6,1,6,1,3,3,1,1,2,2,3,1,1,1,1],[1,3,1,3,1,3,3,1,1,1,1,3,1,1,1,1],[1,3,1,3,1,3,
1,3,1,1,1,3,1,1,1,1],[1,1,12,1,3,1,3,1,4,3,1,1,1,1],[1,2,1,1,2,1,2,1,1,2,1,
1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,1,12,1,3,1,3,1,4,3,1,1,1,1],[1,6,2,6,
1,1,3,6,6,1,3,2,2,2,1,3,1,2,1,1,2,1],[1,6,1,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,2,1,
1,3,1,3,2,1,3,1,1,1,1],[1,1,6,2,1,3,3,1,1,2,2,3,1,1,1,1],[1,3,1,9,2,1,3,6,3,1,
6,1,1,3,2,3,1,1,1,2,2,1],[1,2,12,1,1,6,1,6,6,2,4,1,3,2,1,2,2,1],[1,2,5,1,1,4,
2,2,5,1,1,4,2,1],[1,2,1,1,1,6,2,1,3,1,2,1],[1,2,1,1,1,2,2,1,1,1,2,1],[1,2,3,1,
1,1,1,2,3,1,1,1,1,1],[1,1,6,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,12,1,1,6,1,4,1,3,2,
1,1],[1,7,1,7,7,1,7,1],[1,3,1,1,2,3,1,1,2,1],[1,5,1,2,1,5,1,2,1,1],[1,1,1,1,1,
3,1,1],[1,1,1,3,1,1,3,1],[1,6,3,4,3,1,3,4,3,1,1],[1,7,4,7,4,1,1,1],[1,9,4,4,3,
4,3,1,1],[1,7,4,7,4,1,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,
2,2,1,4,4,1,2,4,2,4,1],[1,3,6,4,3,6,4,1],[1,2,2,1,4,4,1,2,4,2,4,1],[1,1,1,1,2,
2,2,4,1,1,2,1,2,2,4,1],[1,1,1,2,5,2,2,2,1,1,1,2,4,1,1,1],[1,3,1,6,1,2,3,1,6,1,
1,1,1],[1,3,3,3,1,3,3,1,3,3,3,1],[1,3,10,1,3,1],[1,3,1,9,1,3,1],[1,3,1,1,3,
1],[1,3,1,1,3,1],[1,1,4,8,4,1,8,1],[1,1,1,2,1,1,2,1],[1,3,4,6,1,1,2,1],[1,3,1,
1,1,2,1],[1,3,4,6,1,1,2,1],[1,3,1,1,1,2,1],[1,1,7,7,7,1,1,1,1,1],[1,3,1,1,1,3,
1,1],[1,5,1,1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,1,1,1,1,1,1,1],[1,5,1,1,5,1,1,
1],[1,5,1,1,5,1,1,1],[1,3,1,1,1,3,1,1],[1,15,1,1,5,3,1,1],[1,5,1,1,5,1,1,1],[
1,3,1,1,1,3,1,1],[1,15,1,1,5,3,1,1],[1,4,8,8,3,6,16,8,1,1,4,6,2,5,8,3,1,6,1,4,
2,8,1,2,2,4,6,2,2,1,1,2,1,1,1,2,2,3,2,1,2,1,1,2,1,1,1,2,2,1,1,1],[1,2,6,6,9,1,
6,6,2,1,6,9,3,18,3,6,6,1,3,3,2,6,6,3,3,3,3,9,3,6,3,1,3,1,3,1,3,1],[1,2,4,2,3,
1,2,2,1,2,2,3,1,3,4,2,1,1,1,2,2,1,1,4,1,1,3,1,1,1,1,1,1,1,1,1],[1,4,6,4,5,6,
12,4,4,3,6,4,4,2,2,4,6,4,4,1,1,2,1,4,4,1,2,2,1,1,1],[1,2,4,10,3,1,6,6,1,8,2,3,
5,3,2,8,2,2,3,2,6,1,2,4,2,1,1,1,2,4,1,1,1,1,1,1,1,1],[1,2,2,6,5,1,2,2,1,2,4,1,
3,4,3,2,2,2,1,2,2,2,1,2,1,2,2,1,1,4,1,1,1,1,1,1,1,1],[1,10,9,2,4,4,11,18,6,2,
4,6,1,4,2,9,1,4,2,1,2,1,1,1],[1,8,4,3,1,1,4,2,2,5,2,3,5,2,2,1,2,2,3,1,2,2,1,1,
4,2,1,1,1,1,1,1,1,1],[1,6,13,2,9,18,12,6,6,9,6,1,3,6,1,3,3,1],[1,6,8,5,2,4,4,
3,4,4,2,4,2,2,4,2,4,1,4,2,1,1,4,4,4,2,2,1,1,1,1],[1,2,5,2,1,2,2,4,2,1,2,2,1,2,
1,1,1,1,1],[1,6,13,4,3,12,14,6,1,3,3,12,2,6,6,2,3,6,6,1],[1,6,5,4,3,4,2,10,1,
1,1,4,4,1,2,1],[1,6,5,4,3,4,2,2,1,1,1,4,4,1,2,1],[1,6,5,4,3,4,8,2,2,1,1,4,1,4,
1,2,1],[1,2,8,5,4,1,4,4,2,4,2,1,2,4,2,1,2,1,1,1,1,2,2,1],[1,2,9,4,1,4,8,6,2,1,
2,1,3,2,1,1,1,1],[1,4,3,2,2,3,5,2,1,1,3,1,3,1,1,1,1,1],[1,1,9,9,2,2,9,2,2,6,6,
6,6,1,6,6,1,1,1,1],[1,1,3,3,2,2,3,2,2,3,1,3,1,1,3,1,1,1,1,1],[1,6,9,2,2,9,6,2,
6,6,1,6,2,1,1],[1,3,3,9,2,2,9,3,1,1,3,6,6,1,3,3,1,1,1,1],[1,3,1,3,1,1,2,3,3,1,
1,1,1,2,3,1,3,1,1,1,1,1],[1,3,3,9,1,1,2,9,3,1,3,3,1,3,6,1,3,3,1,1,1,1],[1,3,3,
9,1,1,2,9,3,1,3,3,1,3,6,1,3,3,1,1,1,1],[1,7,1,1,2,3,2,1,7,2,1,1,3,2,1,1],[1,
12,3,1,1,2,9,3,3,1,3,4,6,1,3,3,1,1,1,1],[1,3,3,9,1,1,2,9,3,1,3,3,1,3,6,1,3,3,
1,1,1,1],[1,4,3,1,1,2,3,1,1,1,4,2,3,1,1,3,1,1,1,1],[1,3,12,1,1,2,9,1,3,3,3,4,
6,1,3,3,1,1,1,1],[1,15,2,2,9,8,6,6,1,6,2,1,1],[1,3,3,9,1,1,2,9,3,1,3,3,1,3,6,
1,3,3,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,9,6,2,
2,9,6,6,6,2,1,6,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,12,3,2,2,9,6,3,1,6,3,1,1,3,3,
1,1,1,1],[1,3,5,8,1,3,4,1,1,2,1],[1,3,1,1,2,1,3,3,6,1,1,1,2,3,1],[1,3,1,4,8,1,
3,4,1,1,2,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,9,1,9,1,1,2,9,3,1,3,1,2,3,3,6,6,
1,3,3,6,1,1,1,1],[1,6,1,1,1,2,3,6,1,1,2,2,1,3,1,1,2,1],[1,1,18,1,1,2,9,1,6,1,
2,6,12,1,3,3,6,1,2,1],[1,1,1,1,2,3,1,1,2,1,3,1,1,1],[1,3,1,3,1,1,2,3,3,1,3,1,
2,1,1,1,3,1,1,1,1,1],[1,3,1,1,2,1,3,3,6,1,1,1,2,3,1],[1,1,18,1,1,2,9,1,6,1,2,
6,12,1,3,3,6,1,2,1],[1,1,6,1,1,2,3,1,2,1,2,6,1,1,3,1,2,1],[1,1,6,1,1,2,3,1,6,
1,2,2,1,3,1,1,2,1],[1,1,1,1,2,1,1,1,2,1,1,1,2,1,1],[1,1,1,1,2,9,1,1,2,1,3,3,6,
1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,9,3,3,1,1,2,9,3,1,
3,3,1,3,6,1,3,3,1,1,1,1],[1,3,9,3,1,1,2,9,3,3,1,1,3,3,6,1,3,3,1,1,1,1],[1,12,
3,1,1,2,9,3,1,3,4,3,6,1,3,3,1,1,1,1],[1,3,12,1,1,2,9,3,4,1,3,3,6,1,3,3,1,1,1,
1],[1,12,3,1,1,2,9,3,1,3,1,3,3,6,1,3,3,1,1,1,1],[1,12,3,1,1,2,9,3,1,3,1,3,3,6,
1,3,3,1,1,1,1],[1,3,4,1,1,2,3,3,4,1,2,1,1,1,3,1,1,1,1,1],[1,10,9,1,1,2,9,3,3,
1,1,2,3,3,6,6,1,3,3,6,1,1,1,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,4,1,8,1,3,4,1,1,
2,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,4,5,4,1,3,4,1,1,1,1,1],[1,3,4,1,8,1,3,4,1,
1,2,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,1,4,4,4,1,3,4,
1,1,1,1,1],[1,3,12,1,1,2,9,3,3,1,3,4,6,1,3,3,1,1,1,1],[1,3,3,9,1,1,2,9,3,3,1,
3,1,3,6,1,3,3,1,1,1,1],[1,3,4,1,1,2,3,3,1,1,1,4,2,1,3,1,1,1,1,1],[1,3,3,9,1,1,
2,9,3,3,1,3,1,3,6,1,3,3,1,1,1,1],[1,12,3,3,1,9,3,1,9,3,3,1,1,3,3,1,1,1,1],[1,
3,3,1,1,1,2,3,3,3,1,1,1,1,2,1,3,1,1,1,1,1],[1,12,3,1,1,2,9,3,3,1,4,3,6,1,3,3,
1,1,1,1],[1,3,9,3,1,1,2,9,3,3,1,1,3,3,6,1,3,3,1,1,1,1],[1,18,1,1,1,2,9,3,3,1,
6,1,6,6,2,1,3,3,6,1,1,1,1],[1,12,3,1,2,1,9,3,3,1,6,1,3,3,1,3,3,1,1,1,1],[1,12,
3,1,1,2,9,3,4,3,3,1,6,1,3,3,1,1,1,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,12,3,3,1,9,
3,1,9,3,3,1,1,3,3,1,1,1,1],[1,12,3,3,1,9,3,1,9,3,3,1,1,3,3,1,1,1,1],[1,6,9,4,
9,6,2,12,1,6,2,1,1],[1,9,4,9,12,1,1,1],[1,2,3,1,1,1,1,1,2,3,1,1,1,1],[1,2,6,
10,5,1,10,10,5,5,1,5,2,1,1,2,1,1,2,2,1,1,1],[1,2,1,10,1,5,5,1,5,2,1,2,1,1,1,
1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,8,
15,1,15,15,1,5,3,1,3,1,3,3,1],[1,3,10,1,5,5,1,5,3,2,1,1,1,1],[1,6,5,1,5,5,1,5,
1,1,1,1,1,1,1],[1,1,10,10,1,5,5,1,5,1,2,2,1,1,1,1],[1,6,5,5,5,5,1,5,1,1,1,1,1,
1,1],[1,6,5,5,10,1,5,1,1,1,1,2,1],[1,6,5,5,10,1,5,1,1,1,1,2,1],[1,6,5,10,5,1,
5,1,1,1,1,2,1],[1,1,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,21,1,
7,1,3,1,1],[1,3,1,1,1,3,1,1],[1,7,1,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,1,1,2,1,1,
1,1,2,1],[1,3,5,3,1,3,5,1,1,1,3,1,3,5,3,1,1,1,1,1,1,1,3,5,1,1,1,3,1,1,1,1,1,1,
1,1,1,1],[1,5,9,9,1,7,15,1,1,3,9,3,2,1,2,3,3,1,3,3,3,3,3,3,1,2,2,3,1,1,3,1,1,
3,1,1,1,1,1,1,1,1],[1,2,6,6,9,1,1,6,6,1,1,9,3,9,3,2,1,3,2,3,1,3,3,3,3,3,3,1,2,
2,3,1,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,3,9,7,4,3,9,3,3,1,9,3,4,4,4,3,1,3,3,3,3,3,
1,4,3,1,1,1,1],[1,4,6,4,1,4,6,12,4,4,3,6,4,4,4,4,6,4,1,4,1,1,1,1,1,1],[1,3,3,
7,6,4,3,3,6,1,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,6,12,10,3,1,12,
30,12,10,9,18,3,1,3,3,3,1,1,10,18,12,3,3,3,6,3,3,3,1,3,3,3,1,3,3,1,3,3,3,3,1,
1,1],[1,3,3,7,6,1,3,3,6,1,3,3,3,3,6,3,3,2,2,1,1,3,3,3,3,3,3,3,3,2,1,1,1,1,1,2,
3,1,1,1,1,1,1,1,1],[1,3,3,7,6,4,3,3,6,1,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,5,7,5,6,1,7,9,6,3,1,1,3,3,6,2,1,2,1,1,2,2,3,1,3,3,3,3,3,1,2,2,1,2,1,
1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,2,4,14,3,1,1,6,6,4,4,3,9,6,2,1,1,4,1,2,4,3,3,
6,3,1,2,2,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,2,4,6,3,4,1,6,6,1,6,3,3,3,6,8,
4,3,2,6,1,3,4,1,1,2,1,1],[1,4,6,12,9,1,3,12,18,1,12,9,9,9,18,1,1,1,3,3,3,3,9,
4,18,3,9,1,3,3,3,3,3,3,1,3,3,3,6,3,3,1,3,1,3,1,3,1],[1,4,4,4,3,1,3,4,6,1,4,3,
3,3,1,1,1,1,1,1,1,3,4,6,3,3,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,9,9,
1,9,1,3,3,3,9,3,1,2,3,2,3,1,3,3,3,3,3,3,2,3,1,2,1,1,1,3,1,3,1,1,1,1,1,1,1,1],[
1,1,7,13,6,1,7,6,1,3,3,1,9,3,6,1,2,1,4,2,1,1,3,3,3,3,3,3,2,1,2,1,2,1,1,1,1,1,
2,3,1,1,1,1,1,1,1,1],[1,7,9,3,4,9,9,1,3,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,
1],[1,1,9,9,4,9,1,3,3,3,9,3,4,4,4,1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,1,9,9,4,9,1,
3,3,3,9,3,4,4,4,1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,1,9,9,4,9,3,1,9,3,3,3,4,4,4,3,
1,3,3,3,3,3,4,1,3,1,1,1,1],[1,1,3,9,6,4,3,6,3,1,3,3,3,3,6,4,4,4,3,1,3,3,3,3,3,
4,1,3,1,1,1,1],[1,3,5,15,1,15,1,1,9,1,9,3,1,5,5,3,3,3,1,3,3,3,5,1,3,1,3,1,1,3,
1,1,1,1,1,1,1,1],[1,3,3,11,6,1,9,6,1,1,1,3,9,3,6,1,3,3,2,2,3,3,3,1,3,3,3,3,2,
1,1,1,3,1,1,2,3,1,1,1,1,1,1,1,1],[1,14,9,1,1,10,4,15,9,3,5,3,4,3,3,6,3,3,5,1,
1,1,3,1,3,1,1,1,1,1,1,1,1],[1,12,8,3,1,1,10,4,9,6,3,6,3,3,2,1,2,4,3,3,6,3,3,3,
2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,6,4,6,3,4,3,6,6,1,3,3,3,3,3,4,4,4,3,3,3,1,
3,3,3,4,1,3,1,1,1,1],[1,16,3,4,1,12,6,9,3,8,4,6,1,3,6,3,4,1,3,2,1,1],[1,6,9,4,
2,9,18,6,12,6,9,4,1,1,3,1],[1,4,12,3,4,1,6,3,6,3,6,6,4,8,1,6,3,3,6,4,1,3,1,2,
1],[1,4,3,4,1,6,3,3,6,4,1,3,3,4,1,3,1,1],[1,4,3,4,1,1,3,3,3,4,1,3,3,4,1,1,1,
1],[1,9,5,9,1,9,15,1,3,1,9,1,5,3,3,3,3,3,3,3,1,3,1,1,1,3,1,5,3,3,1,1,1,1,1,1,
1,1],[1,8,3,1,1,4,2,5,3,8,3,2,1,1,2,1,1,4,2,5,3,1,2,1,1,2,1,1],[1,3,5,15,1,15,
1,1,9,1,9,3,5,1,5,3,3,3,1,3,3,3,1,1,1,5,3,3,1,3,1,1,1,1,1,1,1,1],[1,3,5,15,1,
15,1,1,9,1,9,3,5,1,5,3,3,3,1,3,3,3,1,1,1,5,3,3,1,3,1,1,1,1,1,1,1,1],[1,6,4,6,
3,1,3,6,6,1,3,3,3,3,3,4,2,2,3,3,3,3,1,3,3,3,1,1,1,2,3,1,3,1,2,3,1,1,1,1,1,1,1,
1],[1,6,4,18,3,1,3,18,18,1,18,3,9,3,18,4,2,6,3,9,6,18,1,9,1,1,6,6,3,3,3,6,6,3,
2,1,3,6,3,1],[1,6,9,1,2,9,18,6,6,9,6,9,2,9,18,6,1,6,9,1],[1,4,12,3,1,1,6,3,6,
3,6,6,4,4,3,1,6,3,3,6,1,2,3,2,3,2,2,3,1,2,1,1,2,1],[1,4,3,1,1,2,3,3,2,4,3,1,1,
1,1,2,3,3,2,1,1,1,1,1],[1,4,3,1,1,3,3,3,9,4,3,1,9,9,1,1,3,3,3,3,1,3,3,1],[1,6,
4,6,3,4,3,6,6,1,3,3,3,3,3,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,6,9,4,2,9,18,
6,12,6,9,1,4,1,3,1],[1,4,12,3,4,1,6,3,6,3,6,6,4,8,1,6,3,3,6,1,4,3,1,2,1],[1,6,
9,16,2,9,18,6,6,9,8,12,1,1],[1,6,9,16,2,9,18,6,6,9,8,12,1,1],[1,12,7,4,3,4,6,
9,9,4,4,4,6,3,1,6,3,1,4,3,1,1,1,1],[1,6,12,1,4,3,4,6,3,6,3,6,4,4,4,6,3,1,6,3,
1,4,3,1,1,1,1],[1,12,6,12,1,1,18,36,12,4,3,18,6,4,4,1,12,18,12,1,4,6,12,3,6,4,
3,4,1,4,6,1],[1,9,3,9,2,1,9,9,6,1,3,1,1,3,6,3,3,3,2,3,3,3,3,3,3,1,1,1,3,3,1,1,
1,2,2,3,1,1,1,1,1,1,1,1],[1,6,12,1,1,3,4,6,3,6,3,6,6,4,1,6,3,1,6,3,4,1,2,3,2,
1,2,3,2,1,2,1,1,1],[1,3,3,15,2,1,9,6,3,1,3,1,9,1,6,3,1,5,2,3,3,3,3,3,1,3,1,1,
1,3,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,6,5,1,4,3,4,2,2,6,5,1,1,1,4,4,3,4,2,2,1,1,
1,1,4,1],[1,6,1,1,4,3,12,6,1,1,6,4,3,4,3,1,2,1],[1,6,12,1,4,3,4,6,3,6,3,6,4,4,
4,6,3,1,6,3,1,4,3,1,1,1,1],[1,6,2,18,1,1,3,6,6,6,2,1,9,6,2,2,6,1,6,3,3,6,1,2,
1,2,2,1,3,2,2,3,2,2,1,1,1,1],[1,6,2,6,1,1,3,6,6,3,2,1,3,3,2,2,2,1,3,6,6,3,1,2,
1,1,2,1,1,1,2,3,2,2,1,1,1,1],[1,2,12,1,1,6,2,1,6,6,6,2,4,1,3,1,3,2,2,1,2,2,2,
3,1,1,1,1],[1,2,5,1,4,1,4,2,2,5,2,1,4,1,4,2,1,2,1,1],[1,2,1,1,3,2,1,9,2,1,3,1,
3,2,1,1,3,3,1,1,1,1],[1,6,2,6,5,1,3,6,6,1,3,4,6,2,2,2,2,5,3,6,1,3,6,1,2,1,1,4,
2,2,2,3,1,2,1,1,2,1],[1,6,2,6,1,1,3,6,6,1,3,6,2,2,2,2,1,3,3,1,1,2,1,1,2,2,2,3,
1,1,1,1],[1,2,12,5,1,3,6,1,6,4,3,6,2,2,4,5,3,6,3,1,6,1,2,1,2,4,1,2,2,3,1,2,1,
1,2,1],[1,2,1,1,6,1,6,2,2,1,6,1,2,1,2,2,3,2,1,1],[1,2,24,1,1,12,1,12,12,2,2,8,
1,6,1,12,4,1,4,4,2,3,2,1,4,1],[1,2,9,1,1,4,8,2,2,9,1,2,1,1,2,1,4,8,2,1,1,2,1,
1,2,1],[1,2,5,1,1,4,2,4,2,5,1,2,1,4,2,4,1,1,2,1],[1,2,5,1,1,2,4,2,5,1,2,2,1,1,
1,2,4,1,1,2,2,1,1,1],[1,2,1,1,1,2,2,1,1,6,1,2,3,1,2,1],[1,12,5,1,6,2,1,4,5,3,
1,3,2,2,1,3,1,1,1,1],[1,12,1,1,6,3,4,1,3,3,1,2,3,3,1,1,1,1],[1,6,13,4,3,12,10,
6,4,4,4,3,6,1,3,6,4,1,3,1,1,1,1],[1,12,1,4,6,3,4,4,4,3,3,1,4,3,1,1],[1,12,1,4,
6,3,4,4,4,3,3,1,4,3,1,1],[1,12,1,4,6,3,4,4,4,3,3,1,4,3,1,1],[1,3,3,6,4,6,6,1,
3,6,4,3,2,2,1,1],[1,3,2,2,1,4,4,1,3,3,6,1,2,4,2,4,1,1,2,3,1,1],[1,9,2,2,1,4,4,
6,9,6,1,2,4,2,4,6,1,6,1,1],[1,9,3,6,4,6,9,6,3,6,4,6,1,6,1,1],[1,9,2,2,1,4,4,6,
9,6,1,2,4,2,4,6,1,6,1,1],[1,3,3,6,4,3,3,6,1,3,6,4,1,3,1,2,1,1],[1,9,2,2,1,4,4,
9,3,3,6,1,2,4,2,4,3,1,3,6,1,1],[1,9,2,2,1,4,4,9,3,3,6,1,2,4,2,4,3,3,1,6,1,1],[
1,3,2,2,1,4,4,6,6,1,1,2,4,2,4,3,2,2,1,1],[1,27,2,2,1,4,4,18,18,9,36,36,1,2,4,
2,4,3,6,12,6,12,1,1],[1,3,2,2,1,4,4,3,1,3,6,1,2,4,2,4,1,3,1,2,1,1],[1,27,3,6,
4,27,54,36,3,6,4,9,18,12,1,1],[1,9,3,6,4,3,9,3,6,3,6,4,3,3,1,6,1,1],[1,3,2,2,
1,4,4,6,6,1,1,2,4,2,4,3,2,2,1,1],[1,27,2,2,1,4,4,18,18,9,36,36,1,2,4,2,4,3,6,
12,6,12,1,1],[1,9,1,1,1,2,2,2,4,9,3,3,6,1,1,2,1,2,2,4,3,1,3,6,1,1],[1,3,1,1,1,
2,2,2,4,1,3,3,6,1,1,2,1,2,2,4,1,1,2,3,1,1],[1,3,1,1,1,2,2,2,4,3,3,6,1,1,1,2,1,
2,2,4,1,3,1,2,1,1],[1,3,1,1,1,2,2,2,4,3,3,6,1,1,1,2,1,2,2,4,3,1,1,2,1,1],[1,
27,1,1,1,2,2,2,4,9,9,9,18,18,18,36,1,1,2,1,2,2,4,3,3,6,3,6,6,12,1,1],[1,9,1,1,
1,2,2,2,4,3,3,9,6,1,1,2,1,2,2,4,3,1,3,6,1,1],[1,9,1,1,1,2,2,2,4,9,3,3,6,1,1,2,
1,2,2,4,3,3,6,1,1,1],[1,27,1,1,2,5,2,2,9,9,18,45,18,18,2,1,1,1,2,4,1,1,6,3,3,
3,6,12,3,3,1,1],[1,3,1,1,2,5,2,2,3,3,6,1,2,1,1,1,2,4,1,1,3,1,1,1,1,1,1],[1,9,
1,1,2,5,2,2,3,3,9,6,2,1,1,1,2,4,1,1,3,1,3,3,3,1,1],[1,9,3,1,6,1,2,9,3,3,6,3,1,
6,1,1,1,3,1,3,3,3,1,1],[1,27,3,1,6,1,2,27,9,54,9,18,3,1,6,1,1,1,9,3,18,3,3,3,
1,1],[1,3,3,1,6,1,2,3,3,6,1,3,1,6,1,1,1,3,1,1,1,1,1,1],[1,27,3,3,3,1,3,27,27,
27,9,27,3,1,3,3,3,9,3,9,9,9,1,1],[1,9,3,10,9,9,3,1,3,1,3,1,1],[1,9,3,10,9,3,9,
1,3,3,9,1,1],[1,9,3,10,9,12,1,3,3,1,1,1],[1,9,3,1,9,9,3,9,1,3,3,9,1,1],[1,9,3,
1,9,3,1,3,3,1,1,1],[1,9,1,4,8,9,3,3,6,4,1,8,3,1,3,6,1,1],[1,9,1,4,8,9,12,4,1,
8,12,1,1,1],[1,9,1,1,2,9,3,1,1,2,3,1,1,1],[1,9,3,4,6,9,9,3,1,1,2,1,3,1,1],[1,
9,3,4,6,9,3,3,6,1,1,2,3,3,6,1,1],[1,9,3,4,6,9,12,1,1,2,3,1,1,1],[1,9,3,1,9,3,
1,1,2,3,1,1,1],[1,9,3,4,6,9,9,3,1,1,2,1,3,1,1],[1,9,3,4,6,9,3,3,6,1,1,2,3,3,6,
1,1],[1,9,3,4,6,9,12,1,1,2,3,1,1,1],[1,9,3,1,9,3,1,1,2,3,1,1,1],[1,7,7,8,1,
1],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,3,5,15,1,15,1,1,5,5,3,1,3,
5,1,3,1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,3,4,1,
1,3,1,4,1,1],[1,3,1,1,1,3,3,1,1,1,3,1],[1,3,4,1,1,3,1,4,1,1],[1,6,1,1,3,1,1,2,
6,1,1,1,3,1,2,1],[1,1,1,3,1,1,1,1,1,3,1,1],[1,6,5,1,5,1,6,5,1,1,1,5,1,1,1,1,1,
1],[1,1,30,1,15,1,1,10,1,6,5,1,3,1,2,1],[1,1,10,1,5,1,1,10,1,2,5,1,1,1,2,1],[
1,1,1,15,1,1,1,5,1,3,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,
1],[1,3,5,15,1,15,1,5,1,5,3,1,3,5,1,3,1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,
3,5,15,1,15,1,5,1,5,3,1,3,5,1,3,1,1,1,1],[1,3,15,5,1,15,1,1,5,5,3,3,1,5,1,3,1,
1,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,7,1,14,1,7,1,1,2,1],[1,4,10,12,9,6,20,12,
2,2,4,12,4,11,10,18,6,12,6,2,2,4,4,10,6,4,4,4,12,4,4,6,6,4,6,6,1,4,4,6,4,2,9,
6,1,4,12,4,4,6,1,4,2,2,6,2,2,4,4,2,1,6,2,2,2,6,1,2,1,1,1,2,1,2,2,2,1,2,2,1,2,
1,1],[1,4,6,4,13,6,12,4,4,3,6,12,12,14,6,4,6,12,4,1,3,6,3,12,12,2,6,6,2,1,6,6,
3,3,6,6,3,1,3,1],[1,4,6,4,5,6,12,4,4,3,6,4,4,2,10,4,6,4,4,1,1,2,1,4,4,4,4,1,2,
2,1,1,2,2,1,1,1,1],[1,10,17,2,4,4,11,26,18,14,4,6,1,4,2,11,3,20,2,10,14,2,2,1,
2,3,1,10,6,6,1,2,1,1,2,1],[1,10,9,2,4,4,11,18,8,6,2,4,6,1,4,2,9,4,1,4,4,2,1,2,
1,2,1,2,1,1,1,1],[1,6,8,13,2,4,4,3,4,12,2,4,14,6,4,2,4,1,4,2,3,3,12,4,4,2,6,6,
4,2,2,2,1,3,1,6,6,2,4,4,1,2,1,1,2,1],[1,6,8,5,2,4,4,3,4,4,10,4,2,10,4,2,4,1,4,
2,1,4,1,4,4,4,4,2,2,1,1,2,1,2,1,1,1,1],[1,3,3,1,1,4,8,3,3,1,3,3,1,4,8,1,4,3,3,
1,1,2,4,1,1,2,1,1],[1,7,15,9,2,2,15,27,9,8,2,2,8,6,6,6,6,9,1,6,8,12,6,6,6,1,2,
2,1,1,6,2,1,1,2,1,1],[1,1,9,15,6,2,2,9,6,9,9,18,2,2,6,6,6,6,2,6,6,2,9,1,6,6,6,
2,6,6,6,6,1,1,2,1,2,6,1,2,1,1,2,1],[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],[1,1,3,3,5,8,3,1,3,5,8,3,3,1,4,3,1,3,1,2,4,1,1,2,1,1],[1,6,9,6,2,2,
9,9,9,6,2,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,6,9,6,2,2,9,9,9,6,2,6,6,6,2,9,1,6,
6,2,1,2,1,1,1,1],[1,3,3,9,5,8,9,1,9,12,1,3,3,3,4,3,1,3,1,2,4,3,1,1,1],[1,3,3,
9,1,4,8,9,1,9,12,1,3,3,3,4,3,1,3,1,2,4,3,1,1,1],[1,3,3,13,12,1,1,2,9,12,3,9,
18,3,1,3,3,4,4,1,2,1,1,3,3,3,6,6,9,1,3,3,3,3,4,3,3,6,1,3,6,3,3,1,1,1,1,1,1,1,
3,3,1,1,1,1,1,1,1,1],[1,9,1,1,2,1,3,3,2,3,9,6,3,1,1,1,1,1,2,3,3,2,3,1,3,1,1,1,
1],[1,15,7,9,1,1,2,21,27,3,6,3,2,1,3,7,2,5,3,6,6,9,1,3,6,6,3,1,3,7,9,6,2,1,1,
2,1,3,3,1,2,2,1,1,1],[1,7,18,1,1,2,3,3,9,2,1,6,7,2,6,12,9,1,1,3,3,3,1,3,6,2,1,
2,3,3,1,1,1,1],[1,12,3,1,1,2,10,9,3,3,1,12,6,3,3,1,3,3,1,10,2,9,3,3,1,1,3,3,3,
1,1],[1,3,7,21,1,1,2,21,3,27,3,2,1,6,3,7,2,1,7,12,9,1,6,3,1,6,3,3,7,9,6,2,1,1,
2,1,3,3,1,2,2,1,1,1],[1,7,6,1,1,2,3,1,3,2,1,2,7,2,6,3,1,1,1,1,3,1,2,3,2,1,2,1,
3,1,1,1,1],[1,7,6,1,1,2,3,3,9,2,1,6,7,2,2,9,1,1,3,3,3,1,3,6,2,1,2,3,3,1,1,1,
1],[1,12,3,1,4,8,10,9,3,3,1,12,3,4,3,3,1,1,2,4,1,3,1,1],[1,12,3,1,4,8,10,9,3,
3,1,12,3,4,3,3,1,1,2,4,1,3,1,1],[1,12,4,12,3,1,1,2,9,12,18,3,9,3,3,1,1,3,1,3,
4,2,4,4,3,6,6,9,1,3,3,3,3,3,1,3,3,4,3,3,6,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,
1],[1,6,4,18,3,1,1,2,3,18,18,3,9,6,1,1,6,1,4,2,2,6,3,12,9,1,3,6,6,1,3,1,6,3,3,
6,6,1,1,2,2,1,3,3,2,1,1,1,2,1],[1,6,9,1,1,2,1,9,9,1,3,3,6,6,9,3,1,3,1,3,1,2,9,
9,1,3,3,1,3,3,1,3,1],[1,4,24,3,1,1,2,12,3,18,18,1,1,6,1,6,4,2,8,3,12,9,1,1,6,
3,3,6,4,3,6,6,6,1,1,2,1,2,3,3,1,2,1,1,2,1],[1,4,3,1,1,2,3,3,9,1,1,1,4,2,3,9,1,
1,3,3,1,3,3,6,1,1,1,3,3,1,1,1,1],[1,4,3,1,1,2,4,3,1,1,1,4,2,3,3,1,1,1,1,4,2,3,
1,1,1,1,3,1,1,1,1],[1,15,6,2,2,9,9,9,8,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,15,6,
2,2,9,9,9,8,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,6,9,5,8,1,9,9,1,15,3,3,4,3,1,3,
1,2,4,1,3,1,1],[1,6,9,1,4,8,1,9,9,1,3,3,12,3,4,3,1,3,1,2,4,1,3,1,1],[1,21,5,8,
1,9,9,18,3,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,6,3,5,8,3,1,3,6,4,3,3,4,3,1,3,1,2,
4,3,1,1,1],[1,9,5,8,1,3,3,4,9,3,4,1,3,3,1,2,4,3,1,1,1],[1,3,18,5,8,1,9,9,3,18,
24,9,4,1,3,3,1,2,4,3,3,6,1,1],[1,9,3,27,1,1,2,27,1,27,3,3,9,3,6,3,9,6,18,9,1,
9,1,9,1,2,9,9,18,18,3,1,3,3,3,6,1,3,3,1],[1,6,3,1,1,2,3,1,3,6,3,3,6,2,3,1,3,1,
3,1,2,1,1,3,2,3,1,1,1,1,1],[1,3,3,9,1,1,2,9,1,9,3,3,9,3,6,1,3,3,1,9,1,9,1,2,3,
3,3,1,3,3,1,1,3,3,1],[1,5,1,1,2,1,1,1,5,5,10,1,1,1,1,1,1,2,1,2,1,2,5,1,1,2,1,
1,1,1],[1,3,18,1,1,2,1,9,9,3,6,3,6,6,12,9,1,1,3,3,1,2,3,3,6,6,3,2,3,3,6,1,1,1,
1],[1,6,3,1,4,8,3,1,3,6,3,4,3,4,3,1,3,1,2,4,3,1,1,1],[1,3,18,1,4,8,1,9,9,3,6,
12,24,9,4,1,3,3,1,2,4,3,3,6,1,1],[1,9,1,9,1,1,2,9,3,3,3,1,3,1,2,3,3,6,6,9,1,3,
1,3,3,1,3,6,1,1,1,3,3,1,1,1,1],[1,6,1,18,1,1,2,3,9,3,6,1,6,1,2,2,6,12,9,1,3,3,
1,3,1,3,6,1,2,2,3,3,1,1,1,1],[1,3,1,3,1,1,2,3,3,9,3,1,3,1,2,1,1,9,1,3,1,3,3,1,
3,6,1,1,1,3,3,1,1,1,1],[1,3,6,1,1,2,1,3,3,3,2,3,6,6,3,1,1,1,1,1,2,3,3,3,2,1,3,
1,1,1,1],[1,1,24,1,1,2,3,3,9,1,6,6,1,2,8,12,9,1,1,3,3,3,1,3,6,1,2,2,3,3,1,1,1,
1],[1,9,3,27,1,1,2,27,1,27,3,3,9,3,6,3,9,6,18,9,1,9,1,9,1,2,9,9,18,18,3,1,3,3,
3,6,3,1,3,1],[1,9,1,15,6,1,1,2,9,18,3,3,18,3,1,3,2,6,1,2,3,5,6,6,6,9,1,3,6,1,
3,6,3,1,3,6,6,6,1,1,1,2,2,3,3,1,1,1,2,2,1],[1,9,1,9,1,1,2,9,1,9,3,1,3,1,2,3,3,
6,6,9,1,3,1,3,1,2,3,3,6,6,1,1,1,3,3,6,1,1,1,1],[1,9,3,3,1,1,2,9,9,1,9,3,3,3,6,
3,1,3,1,9,9,1,1,2,3,3,3,3,1,3,1,3,3,1,1],[1,6,1,6,1,1,2,3,3,9,6,1,2,1,2,2,6,9,
1,3,1,3,1,3,3,6,1,2,2,3,3,1,1,1,1],[1,6,1,6,1,1,2,3,3,1,6,1,6,1,2,2,2,3,1,3,3,
1,1,2,1,1,1,2,2,3,1,1,1,1,1],[1,3,1,21,6,1,1,2,3,18,9,3,18,3,1,6,2,3,1,2,1,7,
6,12,9,1,3,6,3,1,6,1,3,3,6,6,6,1,1,2,2,1,3,3,1,1,1,2,2,1],[1,3,18,1,1,2,1,9,9,
3,6,3,6,6,12,9,1,3,1,3,1,2,3,3,6,6,3,2,3,3,6,1,1,1,1],[1,1,36,1,1,2,9,1,9,1,
12,1,2,12,24,9,1,3,3,1,1,2,3,3,6,6,1,4,3,3,6,1,1,1,1],[1,3,1,3,1,1,2,3,3,1,3,
1,3,1,2,1,1,3,1,3,3,1,1,2,1,1,1,1,1,3,1,1,1,1,1],[1,3,6,1,1,2,3,1,3,3,6,3,6,2,
3,1,3,1,3,1,2,1,1,3,2,3,1,1,1,1,1],[1,1,18,6,1,1,2,3,9,3,1,6,2,1,2,6,6,12,9,1,
3,3,1,1,3,3,6,1,2,2,3,3,1,1,1,1],[1,9,1,4,8,3,1,3,9,4,3,4,3,1,3,1,2,4,3,1,1,
1],[1,3,18,1,4,8,1,9,9,3,6,12,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,3,18,1,4,8,1,9,
9,3,6,12,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,3,6,1,4,8,3,1,3,3,6,4,3,4,3,1,3,1,2,
4,3,1,1,1],[1,3,18,1,4,8,1,9,9,3,6,12,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,3,6,1,
4,8,3,1,3,3,6,4,3,4,3,1,3,1,2,4,3,1,1,1],[1,9,4,1,8,1,3,3,4,9,3,4,1,1,2,3,3,4,
1,3,1,1],[1,9,4,1,8,1,3,3,4,9,3,4,1,1,2,3,3,4,1,3,1,1],[1,18,3,4,1,8,9,1,9,12,
3,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,3,9,4,1,8,9,1,9,12,3,1,3,3,4,1,1,2,3,3,
4,3,1,1,1],[1,4,3,4,1,8,1,3,3,4,4,8,3,1,4,1,1,2,3,3,4,1,1,2,1,1],[1,3,18,4,1,
8,1,9,9,12,3,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,3,9,4,1,8,9,1,9,12,3,1,3,3,
4,1,1,2,3,3,4,3,1,1,1],[1,3,18,4,1,8,1,9,9,12,3,6,24,9,4,1,1,2,3,3,4,3,3,6,1,
1],[1,9,4,1,8,1,3,3,9,4,3,4,1,1,2,3,3,4,3,1,1,1],[1,3,3,9,4,1,8,9,1,9,12,3,1,
3,3,4,1,1,2,3,3,4,3,1,1,1],[1,3,18,4,1,8,1,9,9,3,12,6,24,9,4,1,1,2,3,3,4,3,3,
6,1,1],[1,3,18,4,5,4,1,9,9,3,12,18,12,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,9,4,1,
8,3,1,3,9,4,3,4,3,1,1,2,3,4,3,1,1,1],[1,9,4,1,8,3,1,3,9,4,3,4,3,1,1,2,3,4,3,1,
1,1],[1,9,3,3,4,1,8,9,9,1,3,12,3,1,3,4,1,1,2,3,3,4,3,1,1,1],[1,3,18,4,1,8,9,1,
9,3,12,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,6,1,4,1,8,4,3,6,4,1,8,1,4,1,4,2,3,4,
1,1,2,1,1],[1,3,3,9,4,1,8,9,1,9,12,3,1,3,3,4,1,1,2,3,3,4,3,1,1,1],[1,3,18,4,1,
8,1,9,9,3,12,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,6,4,1,8,1,3,3,3,4,6,3,4,1,1,
2,3,3,4,1,3,1,1],[1,3,3,9,4,1,8,9,1,9,12,3,1,3,3,4,1,1,2,3,3,4,3,1,1,1],[1,3,
18,4,1,8,1,9,9,3,12,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,9,3,3,1,4,8,9,9,1,3,12,
3,1,3,4,1,1,2,3,3,4,3,1,1,1],[1,3,18,1,4,8,1,9,9,3,6,12,24,9,4,1,1,2,3,3,4,3,
3,6,1,1],[1,3,6,1,4,8,1,3,3,3,6,4,3,4,1,1,2,3,3,4,3,1,1,1],[1,3,18,1,4,4,4,1,
9,9,3,6,12,12,12,9,4,1,1,1,1,3,3,4,3,3,3,3,1,1],[1,3,3,21,4,1,1,2,9,12,9,3,18,
3,3,3,1,3,3,1,1,1,7,4,6,6,2,9,1,3,3,3,3,3,3,3,3,1,3,4,6,6,1,1,1,1,1,1,1,3,3,1,
1,1,1,1,1,1,1],[1,6,3,4,1,8,3,1,3,6,4,3,3,4,3,1,3,1,2,4,3,1,1,1],[1,7,4,1,8,7,
4,7,8,1,4,7,1,2,4,1,1,2,1,1],[1,9,4,1,8,4,3,4,9,3,4,4,3,1,2,4,3,1,1,1],[1,1,4,
1,8,3,4,1,8,1,4,3,4,1,1,1,1,1],[1,12,9,4,18,9,12,4,12,9,1,12,4,1,2,1,1],[1,9,
4,9,12,9,1,1,1,1],[1,9,4,27,12,9,1,1,3,1],[1,2,8,10,15,1,10,10,1,1,15,5,15,5,
1,1,5,5,5,5,5,5,2,3,1,2,3,5,1,2,2,1,1,3,1,3,1,1,1,1,1,1,1,1,1],[1,2,6,10,5,1,
10,10,5,10,5,5,5,1,5,10,10,5,5,2,1,1,2,1,5,1,2,2,1,1,1,2,1,1,2,2,1,1,1],[1,2,
6,10,5,1,10,10,5,5,10,10,1,5,5,5,2,1,1,2,1,5,1,2,2,1,1,2,2,1,1,1,1],[1,8,15,1,
10,15,15,10,1,5,5,5,3,1,3,5,1,3,3,2,2,1,1,1,1],[1,8,15,1,5,15,15,15,1,5,15,15,
3,1,3,5,1,3,3,1,3,1,3,3,1],[1,6,5,6,5,10,10,1,10,5,1,1,1,5,1,1,1,1,1,2,1,1,1,
1],[1,6,5,1,10,5,15,1,5,5,5,1,1,1,5,1,1,1,2,2,1,1,1,1],[1,3,6,1,6,12,4,8,3,3,
12,6,12,6,12,4,12,24,4,24,4,4,3,1,6,6,12,4,8,1],[1,3,6,13,3,6,4,3,6,1,1,2,1],[
1,3,6,4,9,3,6,4,3,6,1,1,2,1],[1,3,1,6,10,20,3,1,6,10,1,1,3,24,1,1,2,3,3,3,1],[
1,3,1,6,1,2,3,1,6,1,1,1,3,6,1,2,1,3,3,3,1],[1,3,3,3,10,3,3,1,3,3,3,3,6,1,1,2,
1],[1,3,3,3,1,12,3,1,3,3,3,3,3,3,1,1,1,1,1],[1,1,7,7,7,7,7,7,7,1,7,1,1,1,1,1,
1,1,1,1],[1,3,21,7,1,21,1,7,7,1,7,3,3,1,1,3,1,1,1,1],[1,9,1,1,2,1,3,3,6,1,9,1,
1,2,1,3,3,6,1,1],[1,5,1,1,2,1,5,5,10,1,1,1,1,2,5,1,1,2,1,1],[1,45,1,1,2,1,15,
15,30,1,9,1,1,2,5,3,3,6,1,1],[1,6,14,18,9,1,12,38,24,1,1,10,12,4,15,24,9,3,18,
3,1,3,5,5,3,3,1,10,4,24,3,4,4,12,18,6,4,3,3,4,3,3,3,6,6,9,6,3,3,3,6,5,5,5,3,3,
5,5,1,3,1,1,1,3,3,3,1,1,6,4,3,3,6,3,3,3,6,6,3,3,1,1,1,3,1,3,1,5,3,1,3,1,1,1,1,
1,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
2,6,6,9,4,1,6,6,2,1,6,9,3,18,3,6,6,8,12,1,3,3,2,6,6,3,3,3,3,9,3,6,4,4,4,1,3,1,
3,1,3,1,3,4,2,3,1,1,1,1,1],[1,4,12,16,7,4,6,24,16,3,3,4,18,6,9,12,9,3,18,4,4,
4,4,4,4,4,3,4,6,12,3,6,6,4,18,6,6,3,3,6,3,3,1,6,6,9,6,3,4,4,4,1,4,4,4,4,6,3,1,
6,3,3,3,6,6,3,3,1,1,4,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,8,16,12,3,4,16,36,12,1,
3,12,6,6,9,18,3,3,6,8,4,8,4,4,3,12,6,18,3,2,6,12,6,6,6,1,3,6,3,3,3,6,6,3,6,3,
4,8,8,4,4,1,6,3,3,6,3,1,3,6,6,3,3,4,2,1,2,1,1,3,1,2,2,1,1,1],[1,2,4,18,3,4,1,
6,6,1,12,6,3,9,3,6,12,6,8,4,8,6,3,2,6,1,6,6,6,3,3,3,6,12,4,4,4,1,3,1,3,3,3,3,
3,4,2,1,2,3,1,1,1,1],[1,6,6,18,9,4,3,18,18,2,3,18,9,9,18,9,18,6,4,12,12,3,9,9,
6,18,6,9,9,9,9,9,9,18,12,4,12,1,9,3,9,1,9,3,9,4,1,3,3,3,3,1,3,1],[1,6,4,6,3,4,
3,6,6,1,4,6,3,3,3,6,6,4,4,4,3,3,3,6,6,1,3,6,3,3,3,3,4,4,4,1,3,3,3,3,1,3,3,4,1,
1,1,3,1,1,1,1],[1,18,9,4,2,12,12,15,18,6,6,8,12,12,6,3,12,6,9,3,12,4,4,4,1,6,
1,6,3,3,4,2,3,3,1,1,1,1],[1,16,12,3,4,1,1,12,6,6,9,6,3,9,6,8,4,8,6,1,6,6,3,3,
6,6,3,3,6,6,4,4,4,1,3,3,1,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,12,8,24,3,1,18,48,24,
1,3,4,18,2,5,24,3,3,18,8,4,8,3,3,12,6,24,3,6,6,12,18,6,2,1,3,6,3,3,1,6,2,9,6,
1,1,4,2,6,1,16,6,5,8,3,1,8,6,6,3,3,6,3,3,3,6,6,1,3,2,1,2,1,1,4,2,1,4,2,2,2,2,
2,2,1,8,1,1,1,6,3,3,2,1,2,1,1,1,2,1,2,1,1,1],[1,10,9,1,2,4,4,11,18,6,2,10,9,4,
6,1,4,2,9,1,4,2,4,4,11,18,6,2,2,1,2,1,1,4,6,1,4,2,9,1,4,1,2,1,2,1,1,1],[1,8,
12,3,1,1,3,4,6,2,5,6,3,15,6,8,4,3,2,1,6,6,9,1,6,2,3,1,12,6,1,4,2,1,2,5,2,3,5,
2,1,3,3,3,3,3,3,2,1,2,2,1,2,2,1,3,1,4,2,3,1,1,1,1,1,1,1,1],[1,6,6,18,9,1,3,18,
18,2,3,18,9,9,18,9,18,6,6,2,6,9,3,9,9,6,18,6,9,9,9,9,9,9,18,2,1,1,6,6,9,3,18,
3,6,6,6,9,3,9,1,9,3,9,1,2,6,3,3,3,3,3,6,3,9,3,6,3,3,1,1,3,1,3,3,1],[1,6,4,6,3,
1,3,6,6,1,6,2,3,3,3,12,2,4,2,2,3,3,3,3,6,6,1,3,12,3,1,9,1,1,2,1,2,2,3,1,3,4,2,
2,3,3,3,1,3,3,3,1,1,1,2,2,1,1,1,4,1,3,1,3,1,1,1,1,1,1,1,1],[1,6,4,30,3,1,3,18,
18,1,24,2,3,15,3,6,24,2,4,2,10,3,6,9,6,18,1,6,12,6,1,3,1,6,12,1,2,1,6,8,3,5,3,
2,6,8,2,3,3,3,3,1,3,3,2,1,2,2,2,1,3,6,4,1,1,2,4,3,1,1,1,1,1,1,1,1],[1,6,13,1,
2,9,18,12,6,6,13,6,9,6,1,3,6,2,9,18,12,6,1,3,3,6,9,6,1,3,6,1,1,3,3,1],[1,6,6,
18,9,4,3,18,18,2,3,18,9,9,18,9,18,6,12,4,12,3,9,9,6,18,6,9,9,9,9,9,9,18,1,4,
12,12,9,3,9,1,9,3,9,1,3,3,4,3,3,1,3,1],[1,18,9,16,2,12,12,15,18,6,6,16,12,6,3,
12,6,9,3,12,8,12,6,1,6,3,3,8,4,3,1,1],[1,6,13,16,2,9,18,12,6,16,6,9,6,1,3,6,8,
12,1,3,3,4,1,1,1],[1,6,21,16,2,9,18,24,18,16,6,9,18,3,9,18,8,12,1,9,9,12,3,1,
1],[1,6,13,16,2,9,18,12,6,16,6,9,6,1,3,6,8,12,1,3,3,4,1,1,1],[1,12,6,12,5,1,
18,36,12,4,3,18,4,12,2,2,6,4,4,5,12,18,12,12,1,1,6,1,4,12,4,6,12,3,6,4,4,4,2,
2,3,6,6,1,3,4,1,4,6,4,1,2,1,4,4,3,1,1,1,2,2,1],[1,6,24,5,1,6,4,12,3,12,4,6,12,
2,2,6,8,5,12,6,12,1,12,6,1,1,4,12,12,4,2,4,3,4,4,2,4,2,2,6,6,3,1,3,4,1,4,2,4,
2,1,1,4,4,4,3,2,1,2,1,1,1],[1,6,13,1,4,3,12,14,6,6,13,1,3,3,12,2,6,6,2,4,3,12,
14,6,3,6,6,1,3,3,12,2,6,6,2,1,3,6,6,1],[1,6,5,1,4,3,4,2,10,6,5,1,1,1,4,4,4,3,
4,2,10,1,2,1,1,1,4,4,1,1,2,1],[1,6,5,1,4,3,4,2,2,6,5,1,1,1,4,12,4,3,4,2,2,1,6,
1,1,1,4,4,3,1,2,1],[1,6,5,1,4,3,4,24,2,2,6,5,1,1,12,1,4,4,3,4,8,2,2,1,6,1,1,4,
1,4,3,1,2,1],[1,6,13,16,4,3,12,14,6,16,1,3,3,12,2,6,6,2,4,8,3,6,6,4,8,8,1,1],[
1,6,13,16,4,3,12,14,6,16,1,3,3,12,2,6,6,2,4,8,3,6,6,4,8,4,4,1,1],[1,6,2,18,5,
1,3,6,6,3,6,4,1,9,4,9,6,2,2,2,6,5,6,3,6,6,6,3,6,3,6,2,1,3,12,4,1,1,2,2,1,3,4,
3,2,2,2,3,3,3,3,3,3,1,2,2,2,2,2,1,2,1,2,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,2,9,1,4,
1,4,8,6,2,9,2,1,2,1,3,2,4,1,4,8,6,1,1,1,2,1,2,1,3,2,1,1,1,1,1],[1,2,5,1,6,1,6,
2,4,2,5,6,1,2,2,1,6,1,2,1,2,2,4,3,1,3,2,1,2,2,1,2,1,3,1,1,1,1],[1,2,24,5,1,12,
1,12,12,2,4,2,8,5,6,1,2,12,2,1,6,1,4,1,4,4,2,4,3,1,3,6,6,2,1,2,4,2,1,2,1,3,1,
1,1,2,2,1],[1,6,9,3,6,4,9,12,12,2,6,9,6,3,6,4,9,6,6,4,4,6,1,6,1,6,1,2,1,1],[1,
3,9,27,3,6,4,27,6,6,1,6,9,27,6,54,36,3,6,4,18,18,9,3,2,2,6,1,9,6,18,12,1,3,6,
6,1,1,1,1],[1,3,3,9,3,6,4,9,6,6,1,3,3,3,6,1,9,3,6,3,6,4,9,3,3,3,2,2,1,3,3,3,1,
1,2,6,1,3,3,1,1,1,1,1],[1,12,3,2,2,1,4,4,9,15,6,3,1,3,3,6,4,6,1,2,4,2,4,9,3,3,
3,3,1,1,2,3,1,5,6,2,1,3,1,3,1,1,1,1],[1,15,2,2,1,4,4,9,8,6,15,12,6,1,2,4,2,4,
6,9,8,2,4,1,6,6,1,6,1,2,1,1],[1,9,3,27,2,2,1,4,4,27,9,3,1,3,18,3,6,18,3,9,6,
36,36,1,2,4,2,4,9,9,9,18,3,1,1,2,3,3,1,3,6,6,12,6,12,1,3,3,6,3,1,1,1,1],[1,9,
2,2,1,4,4,9,6,9,6,1,2,4,2,4,9,6,1,6,1,1,1,1],[1,9,3,6,4,9,6,9,6,3,6,4,9,6,1,6,
1,1,1,1],[1,9,2,2,1,4,4,9,6,9,6,1,2,4,2,4,9,6,1,6,1,1,1,1],[1,9,6,3,6,4,9,6,9,
6,6,12,6,2,3,6,4,9,6,6,1,2,6,6,2,4,1,1,6,1,2,1],[1,18,9,2,2,1,4,4,27,18,6,6,9,
6,6,12,1,2,4,2,4,18,9,6,6,1,2,6,12,6,1,3,6,1,2,1],[1,9,18,2,2,1,4,4,27,6,9,18,
6,6,6,12,1,2,4,2,4,9,18,6,1,6,6,6,2,12,1,3,6,1,2,1],[1,3,9,27,2,2,1,4,4,27,6,
6,6,18,9,6,18,1,9,36,36,1,2,4,2,4,18,18,9,3,6,1,3,2,6,12,6,2,6,12,1,3,6,6,1,1,
1,1],[1,9,6,2,2,1,4,4,9,6,9,6,6,2,6,12,1,2,4,2,4,9,6,6,1,2,6,6,2,4,1,1,6,1,2,
1],[1,9,2,2,1,4,4,27,6,9,6,1,2,4,2,4,9,6,1,6,1,3,1,1],[1,27,3,6,4,27,18,27,18,
3,6,4,27,18,3,18,1,9,3,1],[1,9,18,3,6,4,27,6,9,6,6,18,6,12,3,6,4,9,18,6,1,6,6,
6,2,12,1,3,6,1,2,1],[1,9,3,6,4,27,6,9,6,3,6,4,9,6,1,6,1,3,1,1],[1,3,9,27,2,2,
1,4,4,27,6,6,6,18,9,6,18,1,9,36,36,1,2,4,2,4,18,18,9,3,6,1,3,2,6,12,6,2,6,12,
1,3,6,6,1,1,1,1],[1,9,2,2,1,4,4,27,6,9,6,1,2,4,2,4,9,6,1,6,1,3,1,1],[1,30,9,3,
6,4,27,27,3,3,3,6,1,54,9,3,36,6,3,6,4,9,9,18,9,1,9,3,3,3,18,1,1,2,12,6,1,3,3,
3,6,1,1,1,1],[1,3,9,3,2,2,1,4,4,9,6,6,9,3,3,1,1,3,3,6,6,1,2,4,2,4,9,3,3,3,3,1,
2,3,1,2,3,1,6,2,1,3,3,1,1,1,1,1],[1,36,3,2,2,1,4,4,27,18,9,3,18,3,1,12,3,36,6,
36,6,1,2,4,2,4,9,9,9,18,3,3,1,6,12,3,1,6,3,1,6,12,2,1,3,3,3,6,1,1,1,1],[1,3,5,
8,1,10,16,1,3,3,6,4,5,16,8,16,1,1,2,1,2,2,4,3,4,1,1,2,1,2,2,4,1],[1,3,1,4,1,2,
8,8,16,1,3,3,6,1,4,8,4,8,8,16,1,1,1,2,2,2,4,3,4,1,1,2,1,2,2,4,1],[1,9,3,3,1,1,
1,2,2,2,4,9,9,3,1,3,3,6,3,3,1,3,6,6,1,1,2,1,2,2,4,9,3,3,3,1,1,1,1,2,3,1,3,3,6,
2,1,3,1,3,1,1,1,1],[1,9,3,27,1,1,1,2,2,2,4,27,9,3,3,9,3,6,1,9,3,9,6,18,18,18,
36,1,1,2,1,2,2,4,9,9,9,18,3,3,1,3,1,3,6,1,2,3,3,6,6,6,12,1,3,3,3,6,1,1,1,1],[
1,9,9,9,1,1,1,2,2,2,4,27,9,3,3,9,3,3,3,3,9,6,6,6,1,1,2,1,2,2,4,9,9,9,3,1,3,3,
1,3,6,1,3,3,6,6,1,3,3,3,1,1,1,1],[1,3,12,1,1,1,2,2,2,4,9,3,4,3,6,1,3,3,12,6,6,
1,1,2,1,2,2,4,3,9,3,3,4,1,2,1,1,1,2,3,3,6,1,3,1,3,1,1,1,1],[1,36,3,1,1,1,2,2,
2,4,27,9,1,9,3,9,3,12,3,18,6,18,6,18,36,1,1,2,1,2,2,4,9,9,9,18,3,1,3,1,2,3,3,
6,6,1,3,3,6,6,12,1,3,3,6,3,1,1,1,1],[1,3,12,1,1,1,2,2,2,4,9,3,12,3,6,3,6,1,3,
4,6,1,1,2,1,2,2,4,9,3,3,3,4,3,1,3,6,1,2,1,1,2,1,3,3,1,1,1,1,1],[1,30,9,1,1,1,
2,2,2,4,27,9,3,3,3,6,9,3,10,9,18,18,18,6,36,1,1,2,1,2,2,4,9,9,18,9,3,3,1,3,3,
1,6,1,3,3,6,2,6,6,12,1,3,3,3,6,1,1,1,1],[1,30,9,1,1,2,5,2,2,27,9,3,3,3,6,9,3,
18,1,45,9,18,6,18,2,1,1,1,2,4,1,1,9,9,18,9,6,3,3,3,1,3,1,1,3,3,6,12,1,1,3,3,3,
3,1,3,3,3,3,3,1,1,1,1],[1,36,3,3,1,6,1,2,27,9,3,27,3,12,3,6,54,6,9,1,18,3,1,6,
1,1,1,9,9,9,18,3,1,9,3,3,1,18,3,3,1,3,3,3,1,3,1,1,3,3,3,3,3,1,1,1,1],[1,18,9,
3,10,27,18,3,9,9,12,12,1,3,18,9,3,1,3,12,1,1,3,3,1,1,1,1],[1,18,9,1,4,8,27,18,
6,9,6,12,12,4,1,8,18,9,6,2,12,6,1,12,1,6,3,2,1,1],[1,9,1,4,8,9,9,12,4,1,8,9,
12,1,1,1,1,1],[1,18,9,3,4,6,27,18,3,9,9,6,12,6,1,1,2,18,9,3,1,3,6,1,6,1,3,3,1,
1,1,1],[1,18,9,3,4,6,27,18,3,9,9,6,12,6,1,1,2,18,9,3,1,3,6,1,6,1,3,3,1,1,1,
1],[1,1,15,15,10,15,5,15,6,10,10,10,5,6,6,6,10,5,6,5,1,1],[1,15,10,10,15,5,15,
6,10,10,10,15,6,5,10,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,
1],[1,10,15,10,15,5,15,6,10,10,10,15,6,10,5,6,5,1,1],[1,25,10,5,15,15,6,20,10,
15,6,10,5,6,5,1,1],[1,1,15,15,10,15,5,15,6,10,10,10,5,6,6,6,10,5,6,5,1,1],[1,
16,15,10,5,15,15,6,10,10,10,5,6,6,6,10,5,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,
10,15,6,10,5,6,5,1,1],[1,3,5,15,1,15,5,15,1,1,5,5,15,3,1,3,5,5,5,1,3,1,3,5,1,
1,1,3,1,1,1,1],[1,6,3,4,3,1,3,1,4,3,6,3,1,4,3,1,3,1,4,3,1,1],[1,8,15,4,1,15,
15,1,20,5,3,1,3,1,4,1,3,3,5,4,1,1,1],[1,3,30,4,1,15,15,1,20,15,3,6,1,4,1,3,3,
5,4,3,1,1],[1,6,3,1,3,1,3,1,3,2,3,6,3,1,1,1,1,3,1,3,1,3,2,3,1,1,1,1],[1,8,15,
1,1,15,15,1,8,15,5,3,1,3,1,15,15,1,1,3,3,5,3,1,3,1,1,3,3,1],[1,3,30,1,1,15,15,
1,3,10,15,3,6,1,5,5,1,1,3,3,5,3,2,3,1,1,1,1],[1,6,3,4,3,1,3,1,4,3,6,3,1,4,3,1,
3,1,4,3,1,1],[1,8,15,4,1,15,15,1,20,5,3,1,3,1,4,1,3,3,5,4,1,1,1],[1,3,30,4,1,
15,15,1,20,15,3,6,1,4,1,3,3,5,4,3,1,1],[1,6,6,30,5,1,3,30,30,5,15,1,6,2,10,5,
15,6,1,1,6,1,1,10,5,5,10,1,3,6,6,1,3,5,1,1,2,2,1,3,1,1,1,2,2,1],[1,6,1,10,1,3,
5,15,1,1,2,10,15,6,1,2,1,5,5,1,3,1,3,5,1,2,2,3,1,1,1,1],[1,6,5,1,3,5,15,1,6,5,
15,1,1,1,1,5,5,1,3,1,3,5,1,1,1,3,1,1,1,1],[1,1,30,10,1,3,15,5,1,1,10,10,15,1,
6,2,1,5,5,1,3,3,1,5,1,2,2,3,1,1,1,1],[1,6,5,1,15,5,15,1,6,5,15,1,1,1,5,5,5,1,
1,3,3,5,1,1,1,3,1,1,1,1],[1,6,5,1,5,10,1,6,5,5,1,1,1,5,10,1,1,2,5,1,1,1,1,1,2,
1],[1,6,5,1,5,30,1,6,5,15,1,1,1,5,10,1,1,6,5,1,1,1,3,1,2,1],[1,6,5,1,10,5,1,6,
5,5,1,1,1,10,5,1,1,2,5,1,1,1,1,1,2,1],[1,3,5,15,1,15,15,5,1,5,1,5,15,3,1,3,5,
5,5,1,3,3,1,5,1,1,1,3,1,1,1,1],[1,3,5,15,1,15,5,15,1,5,1,5,15,3,1,3,5,5,5,1,3,
1,3,5,1,1,1,3,1,1,1,1],[1,21,7,1,14,21,7,1,7,3,7,1,1,2,3,1,1,1],[1,3,7,1,14,
21,1,1,7,3,7,1,1,2,3,1,1,1],[1,7,7,1,14,7,7,14,1,7,1,7,1,1,2,1,1,2,1,1],[1,4,
10,12,17,6,20,12,2,2,4,12,4,11,10,26,14,12,18,14,2,4,4,10,14,4,4,4,12,4,4,6,6,
4,6,6,1,4,4,6,4,2,11,10,3,20,20,4,2,10,14,4,2,4,6,1,4,2,2,10,2,6,4,4,2,1,6,2,
2,2,6,1,2,3,3,1,2,1,10,6,6,2,4,4,2,2,2,3,2,2,1,2,2,1,2,1,1,1,3,2,2,1,1,1,1,1,
1,1,1],[1,3,9,7,1,4,8,3,9,3,3,1,9,3,3,9,7,4,8,4,4,3,1,3,3,3,3,3,4,3,9,3,3,1,9,
3,1,2,4,3,4,4,4,3,1,1,2,3,3,3,3,3,1,1,1,4,3,1,1,1,1,1],[1,6,12,10,3,1,4,8,12,
30,12,10,9,18,3,12,1,3,3,3,1,1,4,8,12,10,18,12,3,4,3,3,6,3,3,12,3,1,3,3,3,1,3,
1,2,3,4,4,4,1,1,2,3,3,3,3,3,1,1,3,4,1,3,1,1,1,1,1],[1,3,3,19,18,1,4,8,3,3,18,
1,9,9,9,9,18,3,3,6,6,1,4,8,12,12,24,24,1,9,9,9,9,9,9,4,3,3,6,3,3,1,3,3,6,1,2,
12,24,9,4,4,4,1,1,2,3,3,3,3,3,3,3,3,6,6,1,4,3,3,6,1,1,1,1],[1,7,15,15,6,2,2,
15,27,6,9,9,9,9,9,18,8,2,2,8,6,6,6,6,2,6,6,2,9,9,9,9,9,9,9,1,6,8,12,6,6,2,6,6,
6,6,6,6,9,1,2,2,1,2,1,2,6,6,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,4,6,12,
9,5,8,3,12,18,1,12,9,9,9,18,17,8,1,1,15,3,3,3,9,4,18,3,9,4,12,1,3,3,3,3,3,3,1,
3,3,3,6,1,2,3,4,4,4,3,1,3,4,2,1,3,1,3,3,4,1,3,1,1,1,1,1],[1,7,9,3,5,8,9,9,1,3,
3,3,3,11,8,4,4,9,3,3,3,3,1,3,3,3,4,9,4,9,1,3,3,3,3,1,2,3,4,4,4,3,3,3,1,3,1,2,
3,3,1,1,4,1,3,1,1,1,1,1],[1,1,21,21,5,8,21,1,9,3,9,27,9,5,8,18,3,18,3,24,24,1,
9,9,9,9,9,9,4,18,3,24,3,6,1,3,3,3,3,1,2,9,4,4,4,3,1,3,1,2,3,3,3,3,3,3,6,6,4,1,
3,3,6,1,1,1,1],[1,9,21,9,5,8,21,27,1,3,9,9,9,18,5,18,3,3,24,3,9,9,3,9,9,9,4,3,
18,6,3,3,1,3,3,3,1,2,9,8,4,3,3,3,3,1,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,3,9,27,5,
8,27,1,3,9,3,27,9,12,1,4,9,21,24,3,9,9,3,9,9,9,4,12,9,1,3,3,9,3,3,1,2,9,4,4,4,
3,1,3,3,3,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,3,9,27,1,4,8,27,3,1,27,3,9,9,12,1,9,
9,4,12,24,9,3,9,3,9,9,9,4,12,9,3,9,1,3,3,3,1,2,9,4,4,4,3,3,1,3,3,3,3,3,1,3,6,
4,1,3,3,1,1,1,1],[1,3,3,15,18,1,4,8,9,18,3,1,3,9,9,9,18,12,1,3,3,6,6,4,12,24,
9,3,9,3,9,9,9,4,12,3,6,3,3,1,3,3,3,6,1,2,9,4,4,4,3,3,1,3,3,3,3,3,1,3,6,4,1,3,
3,1,1,1,1],[1,15,9,27,1,1,2,21,45,1,3,3,27,3,6,3,2,3,9,9,6,5,9,6,18,3,9,9,9,9,
3,9,1,3,6,6,9,1,1,9,1,3,1,2,3,3,7,1,15,9,18,18,9,2,3,1,2,3,3,3,3,3,3,1,3,3,1,
3,6,3,3,3,3,1,2,2,1,1,3,1,3,1,3,3,1,1,1,1,1,1,1,1],[1,14,9,1,1,2,1,10,4,15,9,
3,5,3,14,10,9,4,3,3,6,3,1,3,5,1,1,1,3,1,1,2,10,2,4,2,15,9,3,3,5,3,1,1,1,1,1,1,
1,4,2,3,3,6,3,3,5,1,1,1,3,1,1,3,1,1,1,1,1,1,1,1],[1,3,9,27,1,1,2,27,1,3,9,3,
27,9,3,2,3,6,9,9,6,1,9,12,3,9,9,3,9,9,9,1,6,9,1,6,1,1,3,9,3,1,2,3,3,9,3,9,3,6,
6,9,2,3,1,2,3,3,3,3,1,3,3,3,3,1,3,6,3,3,3,3,1,2,2,1,1,3,1,3,1,3,3,1,1,1,1,1,1,
1,1],[1,18,12,30,3,1,1,2,36,90,36,10,9,54,9,3,3,3,9,1,3,12,6,6,10,3,6,18,30,
54,36,3,1,9,9,18,9,9,9,3,3,3,9,1,9,10,2,12,30,9,18,18,18,12,9,3,3,1,3,3,1,1,3,
9,9,9,9,3,1,10,3,12,6,18,3,3,6,3,3,3,3,3,1,3,1,3,3,3,3,1,3,3,3,1,1,1],[1,15,7,
15,6,1,1,2,21,27,18,3,3,1,3,9,18,6,3,2,1,3,2,6,7,2,5,5,6,6,6,9,3,9,9,9,9,3,1,
3,6,6,3,6,1,1,3,1,3,6,3,1,2,7,9,1,3,3,6,6,6,6,9,2,1,1,2,1,2,2,3,3,3,3,3,1,3,3,
3,3,1,3,6,3,3,1,2,2,1,1,1,1,1,1,2,2,3,3,1,1,1,1,1,1,1,1],[1,12,24,3,1,1,2,3,
10,12,9,18,9,18,3,3,6,1,6,12,6,8,3,12,12,9,3,18,9,1,3,3,6,3,3,1,3,3,6,10,2,1,
4,9,6,3,6,6,6,9,3,3,2,1,2,3,1,3,3,3,3,3,4,3,6,6,3,3,3,3,2,1,1,1,1,1,2,3,3,1,1,
1,1,1,1,1,1],[1,3,7,39,6,1,1,2,21,18,3,3,9,1,27,3,18,3,2,1,12,2,3,7,2,1,13,6,
24,3,9,9,9,9,3,9,1,6,3,6,1,6,3,3,3,1,1,6,3,1,2,1,7,3,9,3,6,6,6,6,9,2,1,1,4,2,
1,3,3,3,3,1,3,3,3,3,3,1,3,6,3,3,1,2,2,1,1,1,1,1,1,2,2,3,3,1,1,1,1,1,1,1,1],[1,
18,21,1,4,8,3,10,12,27,27,3,9,7,4,12,12,24,12,9,3,18,9,4,3,9,3,3,1,9,3,1,2,12,
9,4,4,4,3,1,3,3,3,3,3,1,3,3,6,1,4,3,3,1,1,1,1],[1,12,24,3,1,4,8,3,10,12,9,18,
9,18,3,3,6,1,6,4,12,12,24,12,9,3,18,9,4,3,3,6,3,3,1,3,3,6,1,2,12,9,4,4,4,3,1,
3,3,3,3,3,1,3,3,6,1,4,3,3,1,1,1,1],[1,12,24,3,1,4,8,3,10,12,9,18,9,18,3,3,6,1,
6,4,12,12,24,12,9,3,18,9,4,3,3,6,3,3,1,3,3,6,1,2,12,9,4,4,4,3,1,3,3,3,3,3,1,3,
3,6,1,4,3,3,1,1,1,1],[1,12,6,36,9,1,1,2,9,36,54,1,36,9,27,9,54,3,3,1,3,9,3,9,
6,6,4,12,9,6,18,27,12,54,3,27,1,3,9,9,9,9,3,9,1,9,3,9,18,1,2,3,12,12,9,9,9,18,
18,18,18,9,1,3,1,1,3,3,3,9,3,9,3,9,1,9,4,3,6,9,18,9,1,3,3,1,3,3,3,3,3,3,3,6,3,
3,3,1,3,1,1,3,3,1],[1,12,4,12,3,1,1,2,9,12,18,3,4,3,9,9,3,3,1,1,3,1,3,4,2,4,4,
3,6,6,9,12,18,9,3,1,3,3,3,3,3,1,3,1,3,1,3,4,2,3,1,4,3,3,3,6,6,6,9,1,1,1,1,1,1,
1,3,3,3,3,3,3,1,4,6,3,6,3,3,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,6,6,
18,9,1,1,2,3,18,18,1,3,9,9,9,9,6,1,3,6,3,6,6,2,6,9,12,3,9,9,3,9,9,9,1,3,6,6,3,
1,3,3,3,3,1,2,1,1,6,9,3,9,3,6,6,6,9,1,3,2,2,3,3,3,3,1,3,3,3,1,3,3,6,3,3,3,3,2,
3,1,1,1,1,3,1,2,3,3,1,1,1,1,1,1,1,1],[1,6,4,42,3,1,1,2,3,18,18,12,4,3,27,18,6,
1,1,12,1,6,4,2,2,14,3,24,12,9,9,18,3,1,3,6,6,1,6,3,1,3,3,1,6,4,2,1,6,4,3,9,6,
6,6,6,9,1,1,2,4,1,2,3,3,3,3,1,3,3,4,6,3,6,3,3,2,1,2,1,1,1,1,1,1,2,2,3,3,1,1,1,
1,1,1,1,1],[1,30,9,5,8,1,30,12,27,9,23,21,3,24,12,3,9,18,9,4,21,9,1,3,3,3,3,1,
2,9,8,4,3,3,3,1,3,3,3,4,3,6,4,1,3,3,1,1,1,1],[1,6,6,18,9,5,8,3,18,18,1,3,9,9,
9,9,6,4,1,15,18,3,24,3,9,9,3,9,9,9,4,3,6,6,12,3,1,3,3,3,3,1,2,9,4,4,4,3,3,3,1,
3,3,3,1,3,3,6,4,1,3,3,1,1,1,1],[1,6,6,18,9,1,4,8,3,18,18,1,3,9,9,9,9,6,1,3,6,
3,12,4,12,24,3,9,9,3,9,9,9,4,3,6,6,3,1,3,3,3,3,1,2,12,9,4,4,4,3,3,3,1,3,3,3,1,
3,3,6,4,1,3,3,1,1,1,1],[1,9,5,45,1,1,2,45,1,1,27,1,27,9,3,5,15,5,10,3,15,6,30,
9,9,9,1,9,9,9,1,15,1,9,1,9,1,3,1,2,1,2,1,2,15,9,9,3,30,18,18,6,9,5,1,5,3,3,3,
1,3,3,3,1,2,3,3,6,6,3,3,6,6,3,3,6,6,1,5,3,1,3,1,1,3,3,6,1,1,1,1,1,1,1,1],[1,9,
5,9,1,1,2,9,15,1,3,1,9,1,9,5,9,5,10,3,3,3,3,3,3,3,1,3,1,9,15,1,3,1,9,1,1,2,1,
2,1,2,3,1,5,3,3,5,3,3,3,3,3,3,3,1,3,1,2,1,1,1,1,1,1,1,3,1,5,1,3,1,3,1,1,1,1,1,
1,1,1,1],[1,9,3,33,6,1,1,2,27,18,3,1,3,3,27,3,18,3,3,9,2,6,3,6,3,11,6,6,18,9,
9,9,3,9,3,9,1,9,6,1,3,1,9,1,3,6,1,2,3,1,9,1,9,3,18,18,6,6,9,3,1,3,2,2,3,3,3,1,
3,3,3,1,3,3,6,3,3,3,3,1,3,1,1,3,1,1,2,2,3,3,1,1,1,1,1,1,1,1],[1,9,3,21,6,1,1,
2,9,9,18,1,9,3,3,9,18,9,3,6,2,3,3,6,3,7,6,12,3,9,9,9,9,9,3,1,9,9,6,3,1,1,1,3,
6,1,2,3,3,3,3,3,3,6,6,6,6,9,3,3,2,2,1,3,3,3,3,3,3,1,1,3,3,6,3,3,3,3,1,3,1,3,1,
1,1,2,2,3,3,1,1,1,1,1,1,1,1],[1,21,9,9,4,1,8,27,27,1,9,3,9,3,12,12,4,9,7,3,24,
9,9,9,3,9,3,9,4,12,1,1,2,3,3,9,3,9,3,9,4,4,4,3,3,1,3,3,1,6,3,3,3,3,4,1,3,3,1,
1,1,1],[1,16,3,4,1,8,1,12,6,9,3,8,4,16,8,3,6,1,3,6,3,4,4,1,1,2,12,6,9,3,3,8,4,
2,1,6,1,2,3,6,3,4,1,1,3,2,1,1],[1,3,9,27,4,1,8,27,1,3,9,3,27,9,12,4,12,9,1,9,
24,3,9,9,3,9,9,9,4,12,1,1,2,3,3,9,3,9,3,9,4,4,4,3,1,3,3,1,3,6,3,3,3,3,4,1,3,3,
1,1,1,1],[1,3,9,27,4,1,8,27,1,3,9,3,27,9,12,4,12,9,1,9,24,3,9,9,3,9,9,9,4,12,
1,1,2,3,3,9,3,9,3,9,4,4,4,3,1,3,3,1,3,6,3,3,3,3,4,1,3,3,1,1,1,1],[1,18,4,18,3,
4,1,8,9,18,18,1,9,3,9,3,9,12,4,12,4,8,6,6,3,24,24,9,9,9,1,9,9,9,4,12,1,1,2,3,
3,6,3,3,3,3,24,6,9,4,4,4,3,1,3,3,1,3,6,2,6,3,3,3,3,4,1,3,3,6,1,1,1,1],[1,6,4,
18,3,4,1,8,3,18,18,1,18,3,9,3,18,24,4,4,8,2,6,3,9,6,18,1,9,4,12,1,1,2,1,6,6,3,
3,3,6,6,3,4,8,6,1,2,1,2,3,6,3,4,1,3,1,2,1,1],[1,6,9,4,1,8,2,9,18,6,12,6,24,9,
6,9,4,4,1,2,2,8,9,18,6,1,12,3,6,6,9,4,1,1,1,2,3,1],[1,4,36,3,4,1,8,1,18,3,18,
3,18,18,4,24,4,8,12,3,48,1,18,9,9,18,4,12,1,1,2,6,3,6,3,6,24,6,9,4,8,1,6,1,6,
2,12,3,3,6,4,1,3,3,6,1,2,1],[1,4,3,4,1,8,1,6,3,3,6,4,4,8,3,1,3,3,4,4,1,1,2,6,
3,3,6,3,4,1,1,2,3,3,4,1,1,3,1,1],[1,4,3,4,1,8,1,3,3,3,9,4,4,8,3,1,9,9,4,12,1,
1,2,1,3,3,3,3,4,1,1,2,3,3,4,1,3,1,1,1],[1,6,9,8,32,2,9,18,6,24,6,9,16,8,2,16,
24,1,6,8,2,2,1],[1,6,9,4,4,32,2,9,18,6,12,12,6,9,16,4,1,1,4,16,24,1,3,3,4,4,1,
1,2,1],[1,3,9,27,4,1,8,27,1,3,9,3,27,9,12,9,4,12,1,9,24,3,9,9,3,9,9,9,4,12,1,
1,2,3,3,9,3,9,3,9,4,4,4,3,3,1,3,1,3,6,3,3,3,3,1,4,3,3,1,1,1,1],[1,6,9,16,1,32,
2,9,18,6,6,9,6,9,16,8,2,16,9,18,6,12,24,1,6,9,8,12,1,1,2,1],[1,6,9,16,8,16,2,
9,18,6,24,6,9,16,8,2,8,8,12,12,1,6,8,2,1,1,1],[1,9,9,21,4,1,8,9,27,3,9,1,27,3,
9,12,4,12,3,7,24,9,3,9,9,9,3,9,4,3,1,1,2,3,3,3,9,9,12,9,4,4,4,3,3,3,3,1,3,1,3,
6,3,3,1,4,3,3,1,1,1,1],[1,12,7,4,1,8,3,4,6,9,9,12,4,4,4,7,8,6,3,1,6,3,4,3,1,4,
2,6,9,9,4,3,4,4,4,6,3,1,1,1,1,6,2,3,1,4,3,1,1,1,1,1],[1,3,9,27,4,1,8,27,3,1,
27,3,9,9,12,9,4,12,1,9,24,9,3,9,3,9,9,9,4,12,3,1,1,2,3,9,9,3,3,9,4,4,4,3,3,3,
3,1,3,1,3,6,3,3,1,4,3,3,1,1,1,1],[1,3,9,27,4,1,8,27,3,1,27,3,9,9,12,9,4,12,1,
9,24,9,3,9,3,9,9,9,4,12,3,1,1,2,3,9,9,3,3,9,4,4,4,3,3,3,3,1,3,1,3,6,3,3,1,4,3,
3,1,1,1,1],[1,12,6,12,1,4,1,8,18,36,12,4,3,18,12,6,12,4,4,4,1,8,12,18,12,1,4,
12,1,4,2,6,12,3,6,4,3,4,4,4,3,3,1,4,1,4,2,6,1,4,3,1,1,1,1,1],[1,9,3,21,6,4,1,
8,9,9,18,1,9,3,3,9,18,3,12,12,4,3,7,6,24,3,9,9,9,9,9,3,4,1,1,2,3,3,3,3,3,3,12,
6,6,9,4,4,4,3,3,1,1,3,3,6,3,3,3,3,1,4,3,3,1,1,1,1],[1,6,36,1,4,1,8,9,4,18,3,
18,9,18,6,12,12,4,12,1,24,24,8,18,9,1,18,9,4,1,4,2,3,6,3,6,3,12,6,24,9,4,4,4,
3,1,3,6,1,6,6,2,6,3,3,1,4,3,3,6,1,1,1,1],[1,3,3,27,6,4,1,8,9,18,9,1,9,3,9,3,
18,12,3,12,4,1,9,6,24,9,3,9,9,9,3,9,4,12,1,1,2,3,3,3,3,3,3,6,6,9,4,4,4,3,3,1,
3,1,3,6,3,3,3,3,1,4,3,3,1,1,1,1],[1,9,3,21,6,1,4,8,9,9,18,1,9,3,3,9,18,3,12,3,
7,6,12,4,24,3,9,9,9,9,9,3,4,1,1,2,3,3,3,3,3,3,12,6,6,9,4,4,4,3,1,3,3,3,1,6,3,
3,3,3,1,4,3,3,1,1,1,1],[1,6,13,4,1,8,3,12,10,6,6,4,4,4,13,8,3,6,1,3,6,4,3,12,
4,10,6,1,2,3,4,4,4,3,6,1,3,6,1,1,1,2,4,1,3,1,1,1,1,1],[1,36,1,4,1,8,18,3,12,
12,4,12,1,24,24,8,9,9,1,4,12,6,3,24,9,4,4,4,3,3,1,1,1,1,4,3,3,3,3,1,1],[1,12,
9,4,18,27,12,4,12,9,9,9,1,12,9,4,1,2,3,1,1,1,1],[1,2,8,10,15,1,10,10,1,6,10,
15,5,15,20,10,1,1,5,5,10,10,5,5,20,5,5,15,5,2,3,1,2,3,5,5,5,5,5,5,5,1,2,2,1,1,
3,1,3,1,1,2,3,2,5,1,1,1,2,2,1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1],[1,9,3,6,1,6,12,
4,8,6,9,9,18,6,3,3,12,6,12,6,12,4,12,24,4,24,4,4,6,6,12,1,9,6,6,12,3,1,6,6,12,
4,8,6,1,1,2,6,1,1],[1,9,3,6,1,6,12,4,8,18,18,3,3,6,3,3,12,6,12,6,12,4,12,24,4,
24,4,4,9,6,6,1,6,12,6,12,3,1,6,6,12,4,8,3,2,3,6,2,1,1],[1,9,3,6,1,6,12,4,8,9,
9,18,3,3,6,3,3,12,6,12,6,12,4,12,24,4,24,4,4,3,3,9,3,6,6,3,1,6,6,6,6,3,1,6,6,
12,4,8,3,1,3,1,6,2,1,1],[1,81,3,6,1,6,12,4,8,81,162,27,162,324,108,216,3,3,12,
6,12,6,12,4,12,24,4,24,4,4,27,27,108,54,108,54,108,36,108,216,36,216,36,36,3,
1,6,6,12,4,8,9,3,18,18,36,12,24,1,1],[1,9,3,6,1,6,12,4,8,3,9,3,9,18,6,3,3,12,
6,12,6,12,4,12,24,4,24,4,4,3,3,3,6,1,9,3,6,6,6,6,6,3,1,6,6,12,4,8,3,1,3,1,2,6,
1,1],[1,27,3,6,13,27,27,54,36,3,6,4,3,6,9,18,12,9,1,1,2,1,3,1,1],[1,9,3,6,13,
9,9,18,3,9,3,6,4,3,6,3,9,3,6,9,1,1,2,3,1,1,1],[1,27,3,6,13,9,27,9,45,3,6,4,3,
6,9,9,3,18,3,6,1,1,2,3,3,6,1,1],[1,9,3,6,4,9,9,9,18,3,9,3,6,4,3,6,3,9,3,6,9,1,
1,2,3,1,1,1],[1,27,3,1,6,10,20,27,27,9,54,9,18,3,1,6,10,1,1,3,24,9,3,18,9,3,3,
3,9,18,1,1,2,3,3,3,1,3,3,3,3,1,1],[1,27,3,1,6,10,20,27,9,9,18,27,54,3,1,6,10,
1,1,3,24,9,3,9,9,9,9,27,54,1,1,2,3,3,3,3,3,6,9,9,9,1,1],[1,9,3,1,6,10,20,9,9,
18,12,3,1,6,10,1,1,3,24,9,3,12,3,3,1,1,1,2,3,3,3,3,1,1,1,1,1,1],[1,9,3,1,6,1,
2,9,9,18,3,3,1,6,1,1,1,3,6,9,3,3,3,3,1,1,2,1,3,3,3,3,1,1,1,1,1,1],[1,27,3,3,3,
10,3,27,27,27,27,9,27,3,1,3,3,3,3,6,9,3,9,9,9,9,1,1,2,1,3,1,1],[1,21,28,14,21,
28,8,21,14,8,14,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,7,1,7,7,8,1,7,8,1,
1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,7,8,7,1,1],[1,7,28,7,28,8,1,
7,8,7,1,1],[1,15,10,1,20,5,6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,15,1,10,20,5,
6,15,10,10,6,5,5,10,6,10,6,5,1,1],[1,15,10,1,20,5,6,15,10,10,6,5,5,10,6,10,6,
5,1,1],[1,15,10,1,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,15,11,20,5,6,10,
15,10,6,5,5,10,6,10,6,5,1,1],[1,15,10,1,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,
1],[1,9,5,45,1,1,2,45,1,3,5,15,5,10,3,15,6,30,1,9,1,9,15,15,30,1,1,2,5,1,5,9,
3,1,3,1,2,3,3,6,6,5,1,3,3,6,1,1,1,1],[1,5,1,1,2,15,1,5,5,10,1,1,5,15,1,1,2,5,
3,1,1,2,5,1,1,3,1,1],[1,5,1,1,2,15,1,5,5,10,1,1,15,5,1,1,2,5,3,1,1,2,5,1,3,1,
1,1],[1,3,4,1,8,1,1,3,4,3,1,1,2,4,1,8,1,3,1,4,1,1,2,1],[1,8,18,24,9,4,16,48,
24,2,4,12,24,12,15,24,18,12,24,6,6,8,4,8,12,12,4,12,12,24,12,8,12,12,24,12,12,
6,12,12,12,12,3,12,12,12,12,6,9,12,3,12,24,12,4,8,8,12,4,4,12,4,4,1,12,12,3,
12,6,4,12,6,6,12,12,6,1,12,6,4,6,12,3,6,3,3,3,6,3,4,4,4,2,4,4,4,4,1,2,3,3,6,4,
6,3,6,6,3,6,3,4,1,2,2,3,1,1,3,1,1,3,1,1,1,1,1,1,1,1],[1,4,6,4,13,16,6,12,4,4,
3,6,12,12,14,6,16,16,16,4,6,12,4,1,3,6,3,12,12,2,6,6,2,16,4,8,1,6,6,3,3,6,6,4,
4,4,8,8,3,1,3,4,1,1,1],[1,12,10,36,9,1,18,60,36,2,6,4,36,4,11,30,18,18,36,6,2,
10,4,12,9,6,12,12,30,18,12,12,12,36,12,4,6,18,12,18,18,1,12,4,18,12,2,9,18,1,
4,36,12,2,4,4,6,2,20,12,11,10,18,6,12,12,6,2,12,18,3,12,6,6,18,6,6,12,12,2,1,
18,2,6,6,18,3,6,1,3,3,6,1,4,2,4,6,6,4,4,1,4,4,4,4,4,4,4,2,10,6,6,6,12,6,9,6,1,
4,12,4,6,6,6,3,6,6,1,6,3,4,2,4,6,2,1,6,2,2,1,4,2,4,1,1,2,2,2,1,2,6,2,6,1,1,3,
2,1,2,2,2,2,1,1,2,1],[1,10,17,1,2,4,4,11,26,18,14,10,17,4,6,1,4,2,11,3,20,2,
10,14,2,2,4,4,11,26,18,14,2,1,2,3,1,10,6,6,4,6,1,4,2,11,3,20,2,10,14,2,1,2,1,
1,2,2,1,2,3,1,10,6,6,1,1,2,1,1,2,1],[1,10,9,1,2,4,4,11,18,24,6,2,10,9,4,6,1,4,
2,9,12,1,4,12,2,4,4,11,18,8,6,2,2,1,2,1,6,1,6,4,6,1,4,2,9,4,1,4,4,1,3,3,2,1,2,
1,2,1,2,3,1,1,1,1],[1,18,25,16,2,12,12,15,42,30,30,16,16,16,12,6,3,12,6,15,9,
48,4,24,30,6,8,16,12,6,1,6,9,3,24,12,18,8,4,4,12,3,4,3,3,6,1,4,3,1,1,1,1],[1,
12,6,12,13,1,18,36,12,4,3,18,12,36,14,6,6,4,4,13,12,18,36,12,1,3,18,3,12,36,2,
6,6,2,4,6,12,3,6,12,12,4,14,6,3,18,18,3,9,6,6,4,1,4,6,12,3,6,3,12,12,2,6,6,2,
9,1,9,1,3,3,6,6,6,6,3,3,1,3,1],[1,12,6,12,5,1,18,36,12,4,3,18,4,12,2,10,6,4,4,
5,12,18,12,12,1,1,6,1,4,12,4,12,4,6,12,3,6,4,4,4,2,10,3,6,6,1,3,2,6,4,1,4,6,4,
1,2,1,4,4,4,4,3,1,3,1,1,1,2,2,2,2,3,1,1,1,1],[1,6,24,13,1,6,4,12,3,12,12,6,12,
14,6,6,8,13,12,6,12,1,12,6,3,3,12,12,12,2,6,6,12,2,4,2,4,3,4,12,2,4,14,6,6,6,
3,3,3,6,6,6,12,12,4,1,4,2,4,2,3,3,12,4,4,2,6,6,4,2,3,6,1,3,6,2,3,2,1,1,6,6,2,
4,4,3,1,1,1,2,2,1],[1,6,24,5,1,6,4,12,3,12,4,30,12,2,10,6,8,5,12,6,12,1,12,6,
1,12,1,4,12,12,4,4,2,4,3,4,4,10,4,2,10,6,6,3,1,6,3,2,4,1,4,2,4,2,1,4,1,4,4,4,
4,3,1,3,2,1,2,2,1,1,2,3,1,1,1,1],[1,18,25,16,6,4,12,27,54,26,30,16,16,16,12,
18,1,12,6,27,3,36,2,18,30,2,4,16,8,6,3,6,3,3,18,18,6,4,4,4,8,8,8,8,3,6,1,3,6,
4,8,3,1,1],[1,6,24,13,16,6,4,12,3,12,12,6,12,14,6,16,16,16,12,6,12,1,12,6,3,3,
12,12,12,2,6,6,12,2,4,16,8,6,6,3,3,3,6,6,6,12,12,4,4,4,8,8,3,6,1,3,6,4,8,3,1,
1],[1,6,24,13,16,6,4,12,3,12,12,6,12,14,6,16,16,16,12,6,12,1,12,6,3,3,12,12,
12,2,6,6,12,2,4,16,8,6,6,3,3,3,6,6,6,12,12,4,4,4,8,4,4,3,6,1,3,6,4,4,4,3,1,
1],[1,6,9,6,3,6,4,9,9,9,12,12,2,6,9,6,6,12,6,2,9,3,6,4,9,6,9,9,6,6,4,4,6,1,2,
6,6,2,4,9,1,6,1,1,1,6,2,1,2,1,1,1,1,1],[1,9,27,27,3,6,4,27,81,27,18,18,3,18,
27,27,18,54,36,27,3,6,4,27,18,54,54,27,27,9,6,6,18,3,9,18,18,12,27,1,18,9,3,
18,18,9,3,3,1,9,3,3,1,1],[1,6,9,18,3,6,4,9,27,27,12,12,2,6,9,6,6,18,6,12,27,3,
6,4,9,6,9,9,18,6,4,4,6,1,6,6,6,2,12,9,1,6,1,3,3,6,2,1,2,3,1,1,1,1],[1,3,9,33,
18,3,6,4,27,18,9,27,54,6,6,1,6,9,27,6,6,6,12,6,2,54,18,6,36,12,27,3,6,4,18,18,
18,6,9,6,9,9,18,6,18,36,18,18,3,2,2,6,1,2,9,6,6,6,6,18,2,2,4,12,12,18,9,1,3,6,
6,6,6,2,1,3,6,6,6,6,6,12,1,1,2,1,2,3,6,1,2,1,1,2,1],[1,3,9,27,3,6,4,27,9,27,6,
6,1,6,9,27,6,54,36,27,3,6,4,18,18,9,9,9,3,2,2,6,1,9,6,18,12,9,1,3,6,6,1,3,1,1,
1,3,1,1,1,1],[1,12,3,1,4,1,2,8,8,16,10,9,3,3,1,12,6,12,3,24,3,1,4,8,4,8,8,16,
3,3,1,1,10,2,2,2,4,9,3,3,1,4,8,12,1,3,3,6,4,3,3,1,1,2,1,2,2,4,4,1,1,2,3,1,1],[
1,21,15,27,2,2,1,4,4,45,81,9,24,6,6,8,6,18,15,12,6,18,7,9,12,36,36,27,1,2,4,2,
4,18,24,36,18,18,6,9,15,27,36,3,6,8,2,4,1,3,6,2,8,6,12,12,6,2,6,12,18,9,1,6,3,
3,6,6,8,12,1,12,6,6,6,2,1,2,1,1,3,6,2,1,2,1,1,1],[1,15,18,2,2,1,4,4,9,27,27,8,
6,15,12,18,6,6,6,12,27,1,2,4,2,4,6,9,9,9,18,8,2,4,1,6,6,6,6,2,12,9,1,6,1,3,3,
6,2,1,2,3,1,1,1,1],[1,15,6,2,2,1,4,4,9,9,9,8,6,15,12,6,6,2,6,12,9,1,2,4,2,4,6,
9,9,9,6,8,2,4,1,2,6,6,6,2,4,9,1,6,1,1,1,6,2,1,2,1,1,1,1,1],[1,6,9,5,8,1,10,16,
1,9,9,1,15,3,6,30,9,3,4,5,16,8,16,3,1,3,1,2,1,2,2,4,9,9,1,4,8,15,3,1,3,3,6,4,
3,1,1,2,3,1,2,2,4,4,1,1,2,3,1,1],[1,18,9,18,2,2,1,4,4,27,27,9,18,6,6,9,18,6,6,
6,6,12,12,27,1,2,4,2,4,18,9,9,9,18,6,6,1,6,2,6,12,6,6,2,12,9,1,3,6,1,3,6,1,2,
2,3,1,1,1,1],[1,3,9,27,2,2,1,4,4,27,9,27,6,6,6,18,9,6,18,1,9,36,36,27,1,2,4,2,
4,18,18,9,9,9,3,6,1,3,2,6,12,6,2,6,12,9,1,3,6,1,3,6,1,1,1,3,1,1,1,1],[1,27,18,
3,6,4,27,9,27,18,27,6,18,18,6,12,27,3,6,4,27,9,9,18,18,3,6,6,18,2,12,9,1,9,1,
3,6,3,2,3,1,1,1,1],[1,3,9,27,2,2,1,4,4,27,9,27,6,6,6,18,9,6,18,1,9,36,36,27,1,
2,4,2,4,18,18,9,9,9,3,6,1,3,2,6,12,6,2,6,12,9,1,3,6,1,3,6,1,1,1,3,1,1,1,1],[1,
27,6,3,6,4,27,9,27,18,27,6,6,12,18,2,27,3,6,4,27,9,9,6,18,3,2,6,18,2,4,9,1,9,
1,3,6,3,2,3,1,1,1,1],[1,18,9,6,2,2,1,4,4,27,9,27,18,6,6,9,6,6,2,6,6,12,12,27,
1,2,4,2,4,18,9,9,9,6,6,6,1,2,2,6,12,6,6,2,4,9,1,3,6,1,3,6,1,2,2,3,1,1,1,1],[1,
3,9,45,6,2,2,1,4,4,27,18,27,9,54,6,6,6,18,9,18,6,6,18,6,2,1,15,6,36,12,36,12,
27,1,2,4,2,4,18,18,18,6,9,9,9,18,18,6,18,6,18,36,3,6,1,6,3,2,2,6,12,6,6,2,2,6,
6,2,12,12,4,18,9,1,3,6,6,3,1,6,6,6,6,6,6,2,6,12,1,2,1,1,2,3,6,1,1,1,2,2,1],[1,
21,5,8,1,10,16,1,9,9,18,3,21,6,24,9,4,5,16,8,16,3,1,3,1,2,1,2,2,4,9,9,18,4,3,
24,3,3,9,6,4,3,1,1,2,3,1,2,2,4,4,3,1,3,6,1,1],[1,9,3,27,5,8,1,10,16,27,1,27,
36,3,3,9,3,6,3,9,6,18,9,4,5,16,8,16,9,1,9,1,2,1,2,2,4,9,9,18,18,12,3,1,12,3,
24,9,3,3,6,4,1,1,2,3,3,1,2,2,4,4,3,1,3,6,1,1],[1,18,3,5,8,1,10,16,9,1,9,18,12,
3,3,6,6,24,9,4,5,16,8,16,9,1,9,1,2,1,2,2,4,3,3,12,3,4,6,24,9,3,3,6,4,1,1,2,3,
3,1,2,2,4,4,3,3,6,1,1,1],[1,3,3,9,5,8,1,10,16,9,1,9,15,24,3,9,3,6,1,3,3,4,5,
16,8,16,9,1,9,1,2,1,2,2,4,3,3,12,3,5,3,8,3,3,6,1,4,1,1,2,3,3,1,2,2,4,4,3,1,1,
2,1,1],[1,9,5,8,1,10,16,1,3,3,4,9,9,18,3,4,5,16,8,16,1,3,3,1,2,1,2,2,4,3,6,3,
6,4,4,8,9,3,1,3,6,4,1,1,2,3,3,1,2,2,4,4,1,3,1,2,1,1],[1,3,54,5,8,1,10,16,1,27,
27,3,54,3,6,72,18,108,144,27,4,5,16,8,16,1,9,9,1,2,1,2,2,4,9,9,18,18,12,3,18,
48,24,48,9,9,18,9,18,18,36,4,1,1,2,3,3,1,2,2,4,4,3,3,6,3,6,6,12,1,1],[1,9,3,
27,1,4,1,2,8,8,16,27,1,27,36,3,3,9,3,6,3,9,6,18,9,1,4,8,4,8,8,16,9,1,9,1,1,2,
2,2,4,9,9,18,18,12,3,1,3,12,24,9,3,3,6,4,3,1,3,1,2,1,2,2,4,4,3,1,3,6,1,1],[1,
9,3,3,1,4,1,2,8,8,16,9,9,1,9,3,3,3,6,12,24,3,1,3,1,4,8,4,8,8,16,9,9,1,1,1,2,2,
2,4,3,3,3,3,1,12,4,8,3,3,6,1,4,3,3,1,1,2,1,2,2,4,4,3,1,1,2,1,1],[1,9,1,4,1,2,
8,8,16,3,1,3,9,9,18,4,3,1,4,8,4,8,8,16,3,1,3,3,6,1,1,2,2,2,4,3,6,9,4,4,8,3,3,
6,1,4,3,1,3,1,2,1,2,2,4,4,3,1,1,2,1,1],[1,3,54,1,4,1,2,8,8,16,1,27,27,3,18,3,
6,36,18,36,72,72,144,27,1,4,8,4,8,8,16,9,1,9,1,1,2,2,2,4,9,9,18,18,3,6,12,24,
12,24,24,48,9,9,9,18,18,18,36,4,3,1,3,1,2,1,2,2,4,4,3,3,6,3,6,6,12,1,1],[1,3,
18,1,4,1,2,8,8,16,1,9,9,3,6,3,6,12,18,24,9,1,4,8,4,8,8,16,3,1,3,1,1,2,2,2,4,9,
9,3,6,4,12,24,3,3,9,6,4,3,1,3,1,2,1,2,2,4,4,3,1,3,6,1,1],[1,3,18,1,4,1,2,8,8,
16,9,1,9,3,18,3,6,12,6,24,9,1,4,8,4,8,8,16,9,1,9,1,1,2,2,2,4,3,3,3,6,12,24,4,
9,3,3,6,4,3,1,3,1,2,1,2,2,4,4,3,3,6,1,1,1],[1,9,3,39,12,1,1,1,2,2,2,4,27,36,9,
9,54,9,3,3,9,4,12,3,6,3,6,1,3,9,3,3,3,13,12,6,18,6,18,6,18,6,36,27,1,1,2,1,2,
2,4,9,9,9,9,12,3,9,18,9,3,9,18,3,9,18,3,9,12,18,18,3,3,1,3,4,4,1,2,3,1,3,1,3,
6,6,1,2,1,1,3,3,3,3,6,6,2,6,6,12,9,9,9,1,3,3,3,3,3,3,4,6,1,3,6,3,3,1,3,3,6,3,
3,3,3,6,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1],[1,36,9,1,4,8,54,9,36,12,9,12,12,
24,27,4,1,8,36,18,9,12,4,12,12,1,24,9,1,12,6,1,4,1,3,2,1,1],[1,9,1,4,8,9,9,12,
27,4,1,8,9,12,1,9,1,1,1,3,1,1],[1,9,1,4,8,27,9,12,9,4,1,8,27,12,1,9,1,3,1,1,3,
1],[1,9,12,28,27,36,12,9,4,9,12,1,9,4,3,4,1,1],[1,9,12,4,24,27,36,12,9,4,1,8,
12,1,9,4,3,4,1,1],[1,9,12,4,24,27,36,12,9,4,1,8,12,1,9,4,3,4,1,1],[1,1,15,25,
10,10,15,10,15,5,15,15,15,15,30,6,10,10,10,10,10,10,10,15,5,15,15,15,15,15,6,
6,6,10,10,10,5,10,10,10,10,15,6,6,6,5,10,5,5,6,5,1,1,1,1,1],[1,11,25,15,10,25,
45,5,15,15,15,15,6,20,10,20,10,10,15,15,15,5,15,15,15,6,6,6,10,20,20,10,10,5,
15,6,6,6,10,5,5,5,6,5,1,1,1,1,1],[1,10,16,10,15,10,15,10,30,5,15,15,15,15,15,
6,10,10,10,10,10,10,10,15,15,15,5,15,15,15,6,6,6,10,10,10,10,10,10,10,5,15,6,
6,6,10,5,5,5,6,5,1,1,1,1,1],[1,36,15,10,5,40,30,45,15,6,30,30,10,30,5,15,30,
15,6,6,6,30,30,10,5,15,6,12,10,10,5,6,5,1,2,1,1],[1,1,25,25,10,25,5,15,15,15,
45,15,6,10,20,10,20,10,5,15,15,15,15,15,15,6,6,6,20,10,10,20,10,5,15,6,6,6,10,
5,5,5,6,5,1,1,1,1,1],[1,2,16,30,15,10,1,30,30,5,30,15,15,15,30,6,20,10,10,20,
10,15,10,30,5,15,12,6,6,12,6,10,20,20,10,10,5,5,6,12,12,6,6,10,10,5,6,5,1,2,1,
1],[1,18,45,10,6,45,90,30,6,10,30,30,30,45,18,6,18,30,10,30,5,5,6,18,18,10,15,
6,5,1,3,1],[1,16,20,15,10,5,10,15,30,15,30,30,6,10,10,20,10,20,5,30,15,15,30,
6,6,6,10,20,10,10,20,5,15,6,12,10,5,10,6,5,1,1,2,1],[1,16,15,10,5,10,15,15,30,
6,10,10,10,5,15,15,6,6,6,10,10,10,5,15,6,12,10,5,6,5,1,1,1],[1,16,15,10,5,1,
15,15,15,6,10,10,10,5,15,15,6,6,6,10,10,10,5,5,6,6,6,10,5,6,5,1,1,1],[1,6,8,
30,15,4,3,30,30,1,3,15,15,15,15,1,4,20,20,3,15,15,5,15,15,15,6,3,1,6,3,20,1,4,
15,3,6,6,1,3,3,3,3,3,1,5,5,4,4,4,3,3,3,1,3,3,3,5,4,1,3,1,1,1,1],[1,8,15,4,1,
30,15,15,30,1,20,5,15,15,3,1,3,20,1,4,15,1,3,3,6,6,5,4,1,3,3,5,4,1,3,1,1],[1,
8,15,4,1,5,15,15,15,1,20,5,15,15,3,1,3,20,1,4,5,1,3,3,1,3,5,4,1,3,3,5,4,1,1,1,
1],[1,6,8,30,15,1,3,30,30,1,3,15,15,15,15,1,8,2,10,15,3,15,15,5,15,15,15,6,3,
1,6,3,1,1,1,10,15,5,15,5,10,1,15,3,6,6,1,3,3,3,3,3,1,5,5,5,5,5,5,3,1,2,2,3,3,
3,3,1,3,3,3,5,1,1,1,3,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,8,15,1,1,10,15,15,10,1,
8,15,5,5,5,3,1,3,1,10,15,15,10,1,5,1,3,3,2,2,5,5,5,3,1,3,1,1,1,5,1,3,3,2,2,1,
1,1,1,1],[1,8,15,1,1,15,15,15,45,1,8,15,5,45,45,3,1,3,1,5,15,15,15,1,15,1,3,3,
3,9,5,15,15,3,1,3,1,9,9,5,1,3,3,1,3,3,1,3,3,1],[1,6,8,30,15,4,3,30,30,1,3,15,
15,15,15,1,20,4,20,3,15,15,5,15,15,15,6,3,1,6,3,1,20,4,15,3,6,6,1,3,3,3,3,3,1,
5,5,4,4,4,3,3,3,1,3,3,3,5,1,4,3,1,1,1,1],[1,6,6,30,5,1,3,30,30,15,10,5,15,15,
1,6,2,10,5,15,30,30,15,5,6,1,1,6,1,10,1,5,10,5,5,5,10,1,15,3,6,6,1,3,3,2,3,10,
10,5,5,5,1,1,2,2,1,3,6,6,3,1,5,1,1,1,2,1,2,1,2,3,1,1,1,2,2,1],[1,6,6,30,5,1,3,
30,30,5,15,30,10,1,6,2,10,5,15,15,5,6,1,1,6,1,1,10,5,5,10,10,10,1,15,3,6,6,1,
3,6,2,5,5,5,1,1,2,2,1,3,1,3,5,1,1,1,2,2,2,2,3,1,1,1,1],[1,6,5,1,18,5,30,10,1,
6,5,30,5,1,1,1,6,5,10,10,1,15,3,1,3,3,3,2,10,5,1,1,1,3,3,1,5,1,1,1,1,1,2,3,1,
1,1,1],[1,6,5,1,3,10,5,45,1,6,5,15,5,15,1,1,1,10,1,5,15,1,15,3,1,3,2,6,5,5,5,
1,1,1,3,3,1,5,1,1,1,2,2,3,1,1,1,1],[1,3,6,1,6,12,13,26,3,3,12,6,12,6,12,4,12,
24,13,24,4,4,3,24,6,12,3,1,6,6,12,4,8,1,2,4,2,3,6,3,6,3,6,1,1,2,1,2,2,4,1],[1,
3,21,7,7,1,14,21,21,21,7,1,7,7,14,1,7,21,7,3,3,1,7,7,7,1,1,2,3,7,3,3,1,1,1,1,
2,1,3,1,1,1,1,1],[1,6,18,34,21,1,4,8,12,54,48,3,3,10,36,12,27,36,27,9,54,3,12,
1,3,9,9,7,7,4,8,4,4,12,12,12,24,24,3,10,12,36,9,12,12,12,54,18,12,9,9,12,9,9,
3,18,18,27,18,9,4,3,3,6,9,9,12,12,12,9,7,3,9,9,3,9,3,3,1,3,9,9,3,3,18,1,2,4,
12,24,12,12,12,9,3,18,9,9,9,18,18,9,9,4,4,4,4,4,4,4,3,1,1,2,3,3,3,3,3,9,3,3,9,
3,3,3,12,3,3,1,9,3,3,3,1,3,3,3,9,3,3,3,3,3,3,3,3,3,3,1,1,3,3,3,6,6,9,4,4,4,1,
4,4,4,4,3,3,3,1,3,3,1,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,4,1,1,1,1,1,3,3,1,1,
1,1,1,1,1,1],[1,10,30,30,9,5,8,30,90,36,1,3,30,12,12,27,54,9,9,18,23,8,5,23,
21,21,3,3,24,24,3,30,12,54,9,4,12,36,18,18,12,3,9,12,9,9,9,18,18,9,18,9,4,21,
23,42,9,9,24,21,3,21,9,9,1,3,3,3,3,9,3,3,3,3,6,1,2,12,9,9,18,9,3,9,18,18,9,9,
4,8,8,4,4,3,3,3,21,3,9,3,9,9,1,3,3,3,4,2,1,3,3,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,
3,3,3,3,1,4,3,3,6,6,9,8,4,4,8,4,1,3,3,3,3,3,3,3,3,1,3,3,3,4,6,6,3,3,3,3,3,3,4,
1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,18,14,54,9,1,1,2,36,114,72,1,3,10,36,4,
15,72,9,9,54,9,3,3,5,15,3,9,14,10,6,18,9,6,30,3,30,12,72,9,12,12,36,54,18,4,3,
9,12,9,9,3,18,6,27,18,3,1,9,9,18,15,15,15,9,3,5,15,1,9,1,3,1,9,3,9,1,3,18,1,2,
10,2,4,2,12,1,38,12,15,24,9,3,30,18,18,6,24,18,12,9,9,18,9,9,9,18,18,3,9,3,5,
1,3,5,3,3,3,3,3,9,3,9,3,15,9,3,9,3,3,3,3,3,9,3,1,3,1,1,3,1,9,3,1,1,3,3,3,1,3,
3,3,4,2,1,4,3,3,6,6,10,4,3,12,6,6,6,6,4,4,6,6,3,6,6,24,3,3,3,18,9,9,3,3,6,5,5,
1,1,5,3,3,1,5,1,3,3,3,1,1,3,5,6,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,4,3,6,6,3,3,3,6,
3,6,3,3,1,3,1,1,3,1,1,5,3,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,
3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,6,6,18,9,8,32,3,18,18,2,3,18,9,9,18,9,
18,6,24,4,24,12,3,9,9,6,18,6,9,9,9,9,9,9,18,16,12,12,8,12,12,2,16,24,9,3,9,1,
9,3,9,16,12,6,4,1,6,3,3,8,3,3,2,3,3,2,4,4,3,1,1,1],[1,24,16,36,3,4,1,8,48,108,
36,1,9,12,18,6,9,54,3,9,18,24,12,8,4,12,16,8,8,12,3,24,24,9,36,18,54,9,6,18,
36,18,18,6,1,9,18,9,9,3,18,6,9,18,3,4,12,24,24,12,4,1,1,2,12,6,16,3,36,6,9,18,
3,3,24,12,6,18,9,9,18,9,3,9,18,18,3,9,8,4,4,8,4,12,6,3,2,1,3,6,3,2,1,3,6,2,6,
12,6,3,12,6,6,6,6,6,6,3,18,3,3,3,6,3,9,4,8,8,4,4,1,3,6,6,3,1,6,3,6,3,1,6,3,6,
3,6,3,3,4,2,1,2,1,1,3,3,2,1,2,1,1,1],[1,18,9,4,1,8,2,12,12,15,18,6,6,8,12,18,
24,9,12,6,3,12,6,9,3,12,4,4,4,4,1,2,2,8,12,12,15,18,6,6,6,1,6,3,3,8,12,4,2,3,
12,6,6,3,12,6,9,3,12,3,4,4,4,1,1,1,1,6,1,6,2,3,3,4,2,3,1,3,1,1,1,1],[1,16,36,
3,4,1,8,1,3,12,18,6,9,18,3,27,18,8,4,24,16,8,12,3,48,6,1,18,18,9,3,18,6,9,3,
18,18,4,4,12,12,1,1,2,12,6,1,6,9,6,3,9,24,6,3,9,3,9,9,9,9,8,4,8,12,2,1,6,6,1,
6,2,12,6,3,6,6,3,3,3,6,6,9,4,4,4,1,1,3,3,3,3,1,6,3,3,3,3,4,2,1,2,3,3,1,1,1,
1],[1,18,6,54,9,4,1,8,9,54,54,2,9,54,9,27,18,27,54,6,12,12,36,6,24,6,18,9,24,
72,9,27,27,18,54,6,27,27,27,27,9,27,54,4,36,4,36,1,2,2,8,3,3,18,18,9,9,18,9,
72,72,18,18,6,27,9,27,1,27,9,27,12,4,12,12,3,3,9,3,6,6,9,6,6,18,24,9,9,9,9,18,
9,9,9,18,9,4,12,12,1,9,1,9,9,3,1,9,3,18,2,18,9,9,4,1,3,3,3,3,6,3,1,3,1],[1,18,
4,18,3,4,1,8,9,18,18,1,12,6,3,9,3,18,6,12,4,12,4,8,6,6,3,24,24,9,9,9,18,18,1,
9,18,9,3,9,3,4,12,4,12,1,1,2,6,3,4,6,3,3,3,6,24,6,6,9,9,9,3,3,9,9,4,4,4,12,3,
1,3,3,1,3,6,2,6,6,6,3,3,3,6,3,3,3,9,4,4,4,1,3,1,3,3,3,1,6,3,3,3,3,4,1,1,1,3,3,
1,1,1,1],[1,6,6,18,9,4,1,8,3,18,18,2,3,18,9,9,18,9,18,6,24,12,6,24,2,6,9,3,9,
9,6,18,6,9,9,9,9,9,9,18,4,12,4,12,1,2,2,8,1,1,6,6,9,3,18,3,6,6,6,9,3,9,1,9,3,
9,12,8,12,6,3,1,2,6,3,6,3,3,3,3,6,3,9,3,6,3,4,4,4,1,3,1,3,3,1,1,3,1,2,3,3,4,2,
3,3,1,1,1,1,1],[1,6,4,54,3,4,1,8,3,18,18,1,36,6,3,27,3,18,36,6,24,4,24,4,8,2,
18,3,48,18,9,6,18,1,18,18,18,3,9,3,18,36,4,12,12,4,1,1,2,6,1,6,12,3,9,3,6,24,
6,12,6,9,3,9,9,3,9,9,4,8,8,12,6,1,6,2,1,6,2,12,6,6,3,3,6,6,3,3,6,12,9,4,4,4,1,
3,3,1,1,3,3,6,3,3,3,3,4,2,1,2,3,3,1,1,1,1],[1,42,9,8,32,2,36,36,27,18,6,18,48,
24,96,36,6,9,36,18,9,9,36,16,24,8,24,2,16,24,18,1,18,9,9,16,24,12,6,48,24,9,8,
6,2,6,2,8,6,6,1,1],[1,6,21,8,32,2,9,18,24,18,24,48,16,6,9,18,3,9,18,16,8,2,16,
24,1,9,9,16,6,12,12,3,8,2,2,3,1,1,1],[1,6,6,18,9,4,4,32,3,18,18,2,3,18,9,9,18,
9,18,6,24,12,12,4,12,3,9,9,6,18,6,9,9,9,9,9,9,18,16,12,4,12,1,1,4,16,12,12,24,
9,3,9,1,9,3,9,16,12,6,3,1,3,3,4,3,4,4,3,1,3,3,1,3,2,4,4,3,1,1,1],[1,18,9,16,1,
32,2,12,12,15,18,6,6,18,16,9,12,6,3,12,6,9,3,12,16,8,2,16,12,12,15,18,6,6,12,
24,6,1,6,3,3,16,12,8,6,3,12,6,9,3,12,4,3,8,12,6,1,6,1,2,3,3,8,4,3,1,1,1],[1,6,
13,16,1,32,2,9,18,12,6,6,16,13,32,6,9,6,1,3,6,16,8,2,16,9,18,12,6,12,24,1,3,3,
16,6,9,6,1,3,6,4,8,1,8,12,1,1,2,3,3,4,1,1,2,1,1],[1,6,21,16,1,32,2,9,18,24,18,
6,16,21,6,9,18,3,9,18,16,8,2,16,9,18,24,18,12,24,1,9,9,16,6,9,18,3,9,18,12,3,
8,12,1,1,2,9,9,12,3,1,1,1],[1,6,21,16,8,16,2,9,18,24,18,24,16,48,6,9,18,3,9,
18,16,8,2,8,8,12,12,1,9,9,16,6,12,12,3,8,2,1,1,1,3,1,1],[1,12,12,48,7,4,1,8,
18,72,48,3,9,4,54,6,9,36,9,9,54,12,12,12,4,12,12,4,4,4,16,7,24,24,8,9,12,18,
36,9,18,18,12,54,18,6,3,9,18,9,9,1,18,6,27,18,3,4,12,12,12,3,1,4,2,6,6,3,24,
18,9,12,9,3,12,12,4,12,16,18,24,18,9,3,18,9,9,9,18,18,3,9,4,4,4,4,4,4,4,3,3,
12,6,3,6,3,3,1,3,1,3,1,4,6,1,4,6,6,6,2,6,6,6,6,6,3,12,3,3,3,18,9,9,1,4,4,4,4,
4,4,4,3,3,3,3,3,6,3,6,3,3,1,3,1,6,3,6,6,3,3,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,1,
1],[1,6,13,16,1,32,4,3,12,14,6,6,16,13,32,1,3,3,12,2,6,6,2,16,4,4,8,3,12,14,6,
8,16,3,6,6,16,4,1,8,3,3,12,2,6,6,2,8,16,8,8,8,1,4,8,3,6,6,4,8,8,1,1,2,1],[1,9,
3,6,1,6,12,4,8,9,6,9,9,18,6,3,3,12,6,12,6,12,4,12,24,4,24,4,4,9,9,18,6,6,12,1,
9,6,6,12,3,1,6,6,12,4,8,1,9,6,1,1,2,6,1,1,1,2,1,1],[1,18,9,3,6,1,6,12,4,8,27,
36,36,6,6,9,9,18,6,6,12,3,3,12,6,12,6,12,4,12,24,4,24,4,4,27,18,9,18,12,12,6,
6,12,1,9,2,12,24,6,6,12,12,24,3,1,6,6,12,4,8,18,3,6,9,6,6,1,1,2,4,6,12,4,6,1,
3,6,1,1,2,1],[1,9,18,3,6,1,6,12,4,8,27,6,9,18,9,18,18,36,6,6,6,12,3,3,12,6,12,
6,12,4,12,24,4,24,4,4,27,9,18,6,6,12,1,6,9,6,18,6,6,12,6,12,12,6,2,12,12,12,
12,3,1,6,6,12,4,8,3,9,18,6,6,1,1,2,6,2,6,6,2,12,4,1,3,1,6,1,2,1],[1,27,3,6,1,
6,12,4,8,27,18,27,27,54,18,3,3,12,6,12,6,12,4,12,24,4,24,4,4,27,27,18,18,36,3,
27,18,18,36,3,1,6,6,12,4,8,27,9,18,3,3,6,18,1,9,1,3,1],[1,9,9,81,3,6,1,6,12,4,
8,81,18,18,3,6,9,81,9,18,6,162,3,27,6,162,324,108,216,3,3,12,6,12,6,12,4,12,
24,4,24,4,4,54,54,27,27,54,9,6,6,6,6,12,1,27,9,1,6,27,12,108,6,54,108,6,12,6,
54,108,36,12,108,216,36,216,36,36,3,1,6,6,12,4,8,9,18,18,18,36,9,18,36,3,6,1,
1,2,2,3,9,3,6,18,2,6,18,36,12,24,1,3,6,3,6,6,1,1,1,1],[1,9,18,3,6,1,6,12,4,8,
27,6,9,6,9,18,6,18,6,18,36,12,3,3,12,6,12,6,12,4,12,24,4,24,4,4,9,27,18,6,6,
12,1,6,9,6,6,12,6,2,6,12,18,6,12,12,12,12,12,3,1,6,6,12,4,8,3,9,6,18,6,1,1,2,
6,2,6,6,2,4,12,1,3,1,6,1,2,1],[1,9,3,6,1,6,12,4,8,81,6,9,9,18,6,3,3,12,6,12,6,
12,4,12,24,4,24,4,4,27,27,54,6,6,12,1,9,6,6,12,3,1,6,6,12,4,8,9,9,6,1,1,2,6,1,
3,3,6,1,1],[1,27,3,6,40,27,18,27,18,3,6,4,12,24,27,27,18,3,18,1,4,8,9,3,4,1,
1],[1,27,3,6,4,36,27,18,27,18,3,6,4,12,24,27,27,18,3,18,1,4,8,9,3,4,1,1],[1,9,
9,9,3,6,1,6,12,4,8,27,18,18,3,3,9,9,18,3,9,3,3,3,9,6,6,18,6,3,3,12,6,12,6,12,
4,12,24,4,24,4,4,27,9,9,9,9,6,6,3,3,1,6,3,3,12,3,6,9,1,3,6,6,3,1,6,9,3,6,6,6,
12,6,6,6,6,6,6,3,1,6,6,12,4,8,9,9,3,3,9,3,3,3,2,1,3,3,1,6,2,3,3,1,1,6,2,2,6,1,
3,3,3,1,1,1,1,1],[1,90,9,3,6,1,6,12,4,8,81,81,3,9,9,18,3,162,9,3,30,9,162,6,
324,18,108,6,216,3,3,12,6,12,6,12,4,12,24,4,24,4,4,27,27,54,27,27,54,3,27,3,
27,3,3,108,3,6,9,54,1,3,108,6,6,3,1,54,9,3,6,108,6,36,6,108,216,6,36,6,216,6,
6,36,6,36,6,3,1,6,6,12,4,8,9,9,9,18,9,18,9,9,18,18,18,18,3,1,9,3,3,1,18,3,3,
18,1,1,36,6,2,2,12,6,24,1,3,3,3,3,6,6,1,1,1,1],[1,36,27,3,6,13,81,27,9,9,9,45,
3,54,27,9,45,45,3,6,4,3,6,27,27,81,27,3,9,9,9,9,18,3,3,6,12,18,18,3,6,1,1,2,9,
9,9,18,9,3,1,3,3,1,3,6,1,3,3,1,1,1,1],[1,54,9,3,1,6,10,20,81,54,9,27,9,18,9,
18,54,18,36,12,72,3,1,6,10,1,1,3,24,54,27,27,54,9,3,9,9,3,3,18,18,12,12,9,9,3,
3,3,3,36,1,72,1,1,2,3,3,3,9,9,18,9,9,9,3,1,3,3,3,1,6,12,1,3,9,1,3,9,1,1,3,3,3,
3,3,1,1,1,1],[1,28,21,28,42,14,21,28,28,28,8,21,21,21,28,14,8,21,8,14,8,1,1],[
1,1,21,21,28,21,7,7,21,21,21,21,28,28,28,8,7,7,21,21,21,21,21,28,7,7,8,21,8,7,
7,7,7,7,7,8,7,7,1,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,10,15,15,10,
6,6,1],[1,15,10,1,10,20,15,5,15,6,15,10,10,20,10,10,15,10,6,15,5,15,5,10,10,6,
10,10,10,6,15,5,6,5,10,1,6,5,1,1,1],[1,15,10,10,1,20,5,15,15,6,15,10,10,10,10,
20,15,10,6,5,5,10,15,15,10,6,10,10,10,6,5,15,6,5,10,1,6,5,1,1,1],[1,3,15,45,
10,1,20,45,5,45,6,30,15,10,30,1,15,60,15,10,18,6,18,30,5,5,10,15,15,6,10,10,
10,18,15,5,6,6,6,5,10,1,6,5,3,1,1],[1,15,30,10,1,20,45,5,45,6,15,30,10,30,10,
60,45,10,6,5,5,10,15,15,30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,3,15,
45,1,10,20,45,5,45,6,30,1,15,15,10,30,60,15,10,18,6,18,30,15,5,15,5,10,6,10,
10,10,18,15,5,6,6,6,10,5,1,6,5,3,1,1],[1,15,30,1,10,20,5,45,45,6,15,10,10,30,
30,60,45,10,6,15,5,15,5,10,30,6,10,10,10,18,15,15,30,6,5,10,1,6,5,3,1,1],[1,3,
15,45,10,1,20,45,5,45,6,30,15,10,30,1,15,60,15,10,18,6,18,30,5,5,10,15,15,6,
10,10,10,18,15,5,6,6,6,5,10,1,6,5,3,1,1],[1,10,15,11,20,15,5,15,6,20,20,10,10,
15,15,10,6,15,10,5,15,5,10,6,10,10,10,6,15,5,6,10,5,1,6,5,1,1,1],[1,25,10,1,
20,5,15,15,6,20,10,25,20,15,10,6,10,5,5,10,15,15,6,20,10,6,5,15,6,10,5,1,6,5,
1,1,1],[1,30,15,10,1,20,45,5,45,6,30,30,10,15,10,60,45,10,6,30,5,5,10,15,15,6,
10,10,10,18,15,15,30,6,10,5,1,6,5,3,1,1],[1,3,15,45,10,1,20,45,5,45,6,30,10,
30,15,1,15,60,15,10,18,6,18,30,5,5,10,15,15,6,10,10,10,18,15,5,6,6,6,10,5,1,6,
5,3,1,1],[1,16,15,10,1,20,5,15,15,6,10,10,10,16,20,15,5,10,6,6,6,10,5,5,10,15,
15,6,10,10,10,6,5,5,10,6,6,6,10,5,1,6,5,1,1,1],[1,15,30,10,1,20,5,45,45,6,10,
30,30,15,10,60,45,10,6,30,5,5,10,15,15,6,10,10,10,18,15,15,30,6,10,5,1,6,5,3,
1,1],[1,45,11,20,5,45,45,6,50,45,60,45,10,6,45,5,15,5,10,6,20,10,18,15,15,30,
6,10,5,1,6,5,3,1,1],[1,3,15,45,11,20,45,5,45,6,30,1,10,15,45,60,15,10,18,6,18,
30,15,5,15,5,10,6,10,10,10,18,15,5,6,6,6,10,5,1,6,5,3,1,1],[1,3,15,45,10,1,20,
45,5,45,6,30,10,30,15,1,15,60,15,10,18,6,18,30,5,5,10,15,15,6,10,10,10,18,15,
5,6,6,6,10,5,1,6,5,3,1,1],[1,9,5,45,1,1,2,45,15,15,1,3,5,15,5,10,3,15,6,30,45,
1,9,1,9,15,5,15,15,5,15,30,1,1,2,5,1,5,9,3,3,15,15,3,1,3,1,2,3,3,6,6,5,5,5,9,
1,3,1,3,3,1,3,6,5,1,1,1,3,3,1,1,1,1],[1,18,3,4,1,8,9,1,9,1,12,3,6,24,9,4,18,3,
1,1,2,3,3,4,1,8,4,9,1,9,3,3,6,12,3,6,24,1,9,4,1,1,2,3,3,1,4,3,3,6,1,1],[1,8,
15,4,1,8,1,15,15,1,20,8,40,15,5,4,3,1,3,1,1,2,15,15,4,1,8,20,1,3,3,5,5,10,4,3,
1,8,3,1,1,4,1,1,2,3,3,5,4,1,1,2,1,1],[1,3,90,4,1,8,1,45,45,1,60,3,30,120,45,4,
3,18,1,1,2,15,15,4,1,8,20,1,9,9,15,15,30,12,3,6,24,1,9,4,1,1,2,3,3,5,4,3,3,6,
1,1],[1,4,18,28,25,16,6,36,28,6,6,4,36,12,27,18,54,18,36,26,30,16,16,16,16,16,
16,16,6,4,12,18,18,12,12,4,36,12,12,18,18,12,18,18,1,12,12,18,12,6,27,18,3,36,
36,12,2,18,30,12,2,16,16,16,4,16,16,16,16,8,12,18,1,12,6,6,18,6,6,12,12,6,3,
18,6,6,6,18,3,6,3,3,3,6,3,18,18,6,6,12,12,4,4,16,4,4,4,4,4,8,8,8,8,6,6,6,3,6,
6,3,6,6,3,6,1,3,3,3,6,6,4,4,4,4,4,4,4,8,8,3,1,3,3,3,3,3,4,1,3,1,1,1,1],[1,12,
10,36,17,1,18,60,36,2,6,4,36,4,11,30,26,42,36,18,14,10,4,12,17,6,12,12,30,42,
12,12,12,36,12,4,6,18,12,18,18,1,12,4,18,12,2,11,30,3,20,60,12,2,10,14,12,2,2,
4,4,6,2,20,12,11,10,26,14,12,12,18,14,12,18,3,12,6,6,30,6,18,12,12,2,1,18,2,6,
6,18,3,6,3,9,3,6,1,10,6,6,6,12,12,4,2,4,6,6,4,4,1,4,4,4,4,4,4,4,2,10,14,6,6,
12,6,11,10,3,20,20,4,2,10,14,4,2,6,6,6,9,6,6,1,6,2,3,6,1,1,3,9,6,2,4,2,4,6,2,
1,6,2,2,1,4,2,4,3,3,2,2,2,1,2,10,6,6,1,1,10,6,6,2,4,4,3,3,3,1,3,3,3,2,1,2,2,2,
2,2,3,1,1,1,1,3,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,9,27,33,18,3,6,4,27,81,18,27,9,
9,27,27,54,18,18,3,18,27,27,6,6,6,12,18,2,54,18,6,36,12,27,9,27,27,27,27,27,3,
6,4,27,18,54,18,54,6,27,6,27,9,9,9,9,18,6,18,36,18,18,27,9,6,6,18,3,2,9,6,6,6,
18,18,2,2,4,12,12,9,27,9,18,9,9,9,9,1,18,9,6,3,18,6,18,2,9,1,1,3,3,6,6,6,6,6,
12,9,3,3,2,1,2,9,3,3,1,3,6,3,3,3,3,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,18,12,
30,3,1,4,1,2,8,8,16,36,90,36,10,9,54,9,36,3,3,3,9,1,3,12,6,12,24,12,6,10,3,6,
18,24,30,54,36,3,1,4,8,4,8,8,16,9,9,18,9,9,36,9,3,3,3,9,1,9,1,10,2,2,2,4,12,
30,9,18,18,18,12,9,12,3,3,1,3,3,1,1,4,8,12,4,12,12,24,8,3,3,6,9,9,9,9,9,3,1,3,
10,3,12,6,6,18,4,12,3,3,6,3,3,3,3,3,1,3,1,2,1,3,1,2,2,4,12,9,3,3,4,4,4,3,3,3,
1,3,1,2,3,3,1,1,1,3,3,6,2,1,4,3,1,3,1,1,1,1],[1,18,21,1,4,1,2,8,8,16,3,10,12,
27,27,3,9,7,18,18,4,12,12,21,24,24,12,9,3,18,9,1,4,8,4,8,8,16,3,9,3,3,1,9,3,3,
6,1,10,2,2,2,4,12,6,27,27,12,9,3,9,7,4,8,4,4,4,8,12,12,24,3,1,3,3,3,3,3,12,6,
9,1,3,3,3,18,6,6,9,4,3,9,3,3,1,9,3,1,2,4,1,2,2,4,12,3,9,3,4,4,4,3,1,3,1,2,3,3,
3,3,1,1,1,2,3,3,6,1,4,3,1,3,1,1,1,1],[1,12,72,3,1,4,1,2,8,8,16,9,10,36,9,54,
27,54,3,3,18,1,18,12,6,12,36,12,24,3,36,24,72,24,72,144,36,27,3,54,27,1,4,8,4,
8,8,16,3,3,18,9,9,1,9,9,18,1,10,2,2,2,4,3,12,9,18,9,18,18,36,18,72,27,3,3,6,1,
6,4,8,12,12,24,24,4,12,12,24,24,48,9,1,9,9,9,9,9,3,3,9,12,3,18,6,6,18,18,18,
36,9,9,4,3,3,6,3,3,1,3,3,1,2,6,12,24,1,2,2,4,12,9,9,9,18,4,4,4,3,1,3,1,2,3,3,
3,3,3,3,6,6,1,3,3,6,6,12,1,4,3,3,6,3,1,1,1,1],[1,21,15,45,6,2,2,1,4,4,45,81,
18,9,27,9,9,27,54,24,6,6,8,6,18,15,12,18,6,6,18,6,2,7,15,6,12,36,12,36,12,27,
27,27,27,27,27,9,1,2,4,2,4,18,24,36,18,18,6,18,6,9,9,15,27,9,9,9,36,18,18,6,
18,6,18,36,27,3,6,8,2,4,1,6,3,2,6,2,8,6,12,12,6,6,2,2,6,6,2,12,12,4,18,18,9,9,
9,9,9,9,9,1,6,3,6,3,6,6,8,12,1,12,1,3,1,3,6,6,6,6,6,6,6,6,2,6,12,9,2,1,2,2,1,
1,2,3,3,3,3,3,6,3,1,6,2,1,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,12,6,36,9,5,
8,1,10,16,9,36,54,1,36,9,27,9,54,51,24,3,1,15,9,3,9,6,30,4,12,9,6,18,27,12,54,
3,27,4,5,16,8,16,36,3,9,9,9,9,3,9,1,9,3,9,18,1,2,1,2,2,4,3,12,12,9,9,9,18,18,
18,18,9,12,12,1,4,8,15,1,17,3,3,3,24,8,9,3,9,12,6,3,9,1,9,3,4,3,6,6,9,18,9,4,
12,1,3,3,1,1,2,3,12,3,3,3,3,3,3,6,1,2,2,4,9,3,3,4,4,4,3,3,3,1,3,1,2,1,1,3,3,4,
3,6,2,4,1,3,1,3,1,1,1,1],[1,30,9,5,8,1,10,16,1,30,12,27,9,23,21,3,30,42,24,9,
12,3,9,18,9,4,5,16,8,16,21,9,1,3,3,3,3,1,2,1,2,2,4,30,6,12,6,27,9,9,23,8,16,4,
21,3,24,3,3,3,1,3,3,3,4,3,12,6,6,3,6,9,18,9,4,21,9,4,1,1,2,3,3,3,3,1,2,2,4,3,
3,9,8,4,3,3,3,1,3,1,2,1,1,3,3,4,2,3,6,4,1,3,1,3,1,1,1,1],[1,18,6,54,9,5,8,1,
10,16,9,54,54,1,9,9,27,9,27,18,12,1,15,54,3,6,30,72,6,18,9,24,108,144,9,27,27,
3,27,27,27,4,5,16,8,16,9,18,18,36,3,1,9,9,3,9,1,2,1,2,2,4,3,3,18,9,9,9,9,72,
18,18,18,27,12,1,4,8,12,15,4,6,18,3,24,48,24,48,9,9,9,1,9,9,9,3,3,9,18,3,3,9,
6,6,18,18,36,9,9,9,9,4,12,6,3,24,1,1,2,12,3,3,3,3,3,6,1,2,2,4,9,9,9,18,4,4,4,
3,1,3,1,2,3,3,3,3,6,6,3,3,1,3,3,6,6,12,4,1,3,3,6,3,1,1,1,1],[1,27,21,27,5,8,1,
10,16,63,81,1,9,9,27,9,54,15,18,3,9,21,6,24,9,9,30,18,9,27,27,9,27,9,27,4,5,
16,8,16,9,54,18,9,3,1,9,3,9,1,2,1,2,2,4,9,9,21,3,27,9,18,18,27,24,18,4,3,5,18,
3,48,24,9,9,9,9,3,9,3,9,3,3,9,6,3,3,6,6,9,9,9,9,4,12,3,18,6,1,1,2,3,3,3,3,3,1,
2,2,4,9,9,9,4,8,3,3,3,3,1,3,1,3,6,3,3,3,1,3,6,6,4,1,3,3,3,1,1,1,1],[1,3,21,63,
5,8,1,10,16,63,1,9,9,9,81,27,15,24,18,3,54,9,21,6,24,72,1,21,108,144,3,27,27,
9,27,27,27,4,5,16,8,16,54,9,72,3,18,1,3,9,9,9,1,2,1,2,2,4,9,9,21,3,27,9,18,18,
27,12,18,4,12,3,5,18,3,48,24,8,24,48,9,3,9,3,6,3,9,9,9,3,9,9,6,18,1,9,18,18,
36,9,9,9,9,4,12,3,18,6,1,1,2,3,3,3,3,3,1,2,2,4,24,9,9,18,9,4,4,4,3,3,3,3,1,3,
1,3,6,3,3,3,1,3,6,6,2,6,12,4,1,3,3,3,6,1,1,1,1],[1,9,9,81,5,8,1,10,16,81,1,3,
27,3,81,27,36,3,4,9,63,9,18,72,3,27,6,126,144,9,27,27,3,27,27,27,4,5,16,8,16,
36,27,1,9,3,27,3,9,1,2,1,2,2,4,3,6,3,6,27,9,27,9,54,18,54,18,27,12,4,4,8,12,9,
1,12,21,24,48,24,48,9,3,9,9,3,9,9,9,1,9,3,6,18,3,9,18,6,18,36,9,9,18,18,9,9,
18,18,4,12,12,24,1,1,2,9,3,3,9,3,3,1,2,2,4,9,9,9,18,4,4,4,3,1,3,1,3,3,6,3,3,3,
3,1,2,3,3,6,6,6,12,4,1,3,3,3,6,1,1,1,1],[1,21,9,9,5,8,1,10,16,27,27,1,9,3,9,3,
33,24,12,4,9,9,9,18,7,3,24,9,9,9,3,9,3,9,4,5,16,8,16,27,12,27,1,9,3,9,3,1,2,1,
2,2,4,3,6,3,6,9,3,9,3,9,12,12,4,4,8,9,4,11,3,24,8,9,9,9,3,9,3,6,3,9,3,1,3,6,3,
1,6,3,3,3,3,4,12,4,1,1,2,9,3,9,3,3,3,1,2,2,4,9,3,3,4,4,4,3,3,1,3,1,3,6,3,3,3,
3,1,2,1,1,2,4,1,3,3,1,1,1,1,1],[1,9,9,81,1,4,1,2,8,8,16,81,3,1,81,3,27,27,36,
3,9,27,9,18,4,36,3,27,6,54,72,72,144,27,9,27,3,27,27,27,1,4,8,4,8,8,16,36,27,
3,27,1,9,3,9,3,6,1,1,2,2,2,4,3,6,27,27,9,9,54,54,18,18,27,12,9,1,9,4,12,24,4,
8,12,12,24,24,24,48,9,9,3,9,3,9,9,9,3,6,9,9,18,18,1,9,3,9,18,18,6,18,36,9,9,
18,18,4,12,3,9,9,1,3,3,3,1,2,1,2,2,4,12,24,9,9,9,18,4,4,4,3,3,3,3,1,3,3,3,1,3,
6,1,2,3,3,6,6,6,12,1,4,3,3,3,6,1,1,1,1],[1,9,3,45,18,1,4,1,2,8,8,16,27,54,9,1,
9,9,27,9,54,36,3,3,9,6,18,3,6,12,12,3,15,18,6,18,24,24,27,9,27,9,27,9,27,1,4,
8,4,8,8,16,36,9,18,3,9,1,9,3,9,18,1,1,2,2,2,4,9,3,9,3,9,9,18,18,18,18,27,12,3,
1,3,6,6,4,12,24,4,12,12,24,24,9,9,3,9,3,9,9,9,3,3,3,3,9,6,6,6,9,9,9,9,4,12,3,
3,3,1,3,3,3,1,2,6,6,1,2,2,4,12,9,9,9,4,4,4,3,3,3,3,1,3,3,3,1,3,6,1,3,3,6,6,1,
4,3,3,3,1,1,1,1],[1,9,9,21,1,4,1,2,8,8,16,9,27,3,9,1,27,3,9,9,21,9,18,12,24,4,
12,3,7,24,9,3,9,9,9,3,9,1,4,8,4,8,8,16,9,27,3,9,1,27,3,3,6,1,1,2,2,2,4,3,6,3,
3,9,9,12,9,9,3,7,12,4,12,24,4,8,4,4,8,9,3,3,6,9,9,9,3,9,3,6,3,3,1,3,1,3,6,3,3,
4,3,3,3,9,1,9,3,1,2,12,1,2,2,4,4,9,3,3,4,4,4,3,3,3,3,1,3,3,3,1,3,6,1,2,1,1,2,
1,4,3,3,1,1,1,1,1],[1,9,3,57,18,1,4,1,2,8,8,16,9,9,54,1,27,9,9,27,54,9,3,18,6,
3,3,6,12,24,36,12,3,19,18,36,72,72,24,144,3,27,27,27,27,27,9,1,4,8,4,8,8,16,9,
9,18,9,3,1,3,9,18,1,1,2,2,2,4,9,3,3,9,9,9,18,18,36,72,18,18,27,3,3,6,6,1,12,
12,4,24,4,12,12,24,8,24,24,48,3,3,6,9,9,9,9,9,3,9,3,1,9,9,18,18,6,18,36,9,9,9,
9,4,3,3,3,3,1,3,3,1,2,6,6,12,1,2,2,4,12,24,9,9,18,9,4,4,4,3,3,3,3,1,3,3,3,3,1,
6,1,3,3,6,2,6,6,12,1,4,3,3,3,6,1,1,1,1],[1,6,9,8,32,1,16,64,2,9,18,6,24,6,48,
9,6,9,16,8,64,32,64,8,2,16,2,4,16,32,9,18,6,24,48,1,24,6,6,12,9,16,8,8,16,2,
16,16,32,24,2,1,4,2,4,6,8,2,1,4,2,4,1],[1,36,9,1,4,8,54,27,36,12,9,12,12,24,
27,27,9,4,1,8,36,18,27,27,12,4,12,12,1,24,9,9,9,1,12,6,3,9,4,1,3,3,1,2,3,3,1,
1,1,1],[1,36,9,12,28,54,27,36,12,36,36,36,12,27,27,9,4,9,36,36,27,12,4,12,36,
1,9,4,12,6,3,9,4,4,4,3,3,1,4,3,1,1],[1,36,9,12,4,24,54,27,36,12,36,36,12,12,
24,27,27,9,4,1,8,36,36,27,12,4,12,12,1,24,9,4,12,6,3,9,4,4,4,3,3,1,4,3,1,1],[
1,36,9,12,4,24,54,27,36,12,36,36,12,12,24,27,27,9,4,1,8,36,36,27,12,4,12,12,1,
24,9,4,12,6,3,9,4,4,4,3,3,1,4,3,1,1],[1,12,36,40,15,10,36,120,60,5,15,40,30,
30,45,90,15,15,30,6,30,10,30,30,30,10,10,15,40,30,90,15,10,30,60,30,30,30,5,
15,30,15,15,15,30,30,15,30,15,12,6,6,12,6,30,30,60,30,30,30,10,30,30,30,10,30,
5,30,15,15,30,15,5,15,30,30,15,15,6,12,12,6,6,6,12,6,10,30,30,30,30,10,10,10,
5,10,5,5,15,6,12,12,6,6,10,5,10,10,5,5,1,6,5,1,2,2,1,1,2,1,1,2,1,1],[1,10,18,
30,45,10,15,30,90,6,15,30,45,45,90,45,90,30,6,10,10,10,30,30,30,30,15,45,45,
10,90,30,45,45,45,45,45,45,90,18,6,18,10,30,30,30,30,30,30,10,30,30,30,60,5,
45,15,45,5,45,15,45,6,18,18,6,18,30,10,30,10,30,10,30,5,15,15,15,6,18,18,10,
15,5,15,1,6,5,1,3,3,3,1,3,1],[1,10,16,10,15,10,15,10,30,5,16,10,15,15,15,30,
30,6,10,10,10,10,10,10,10,15,15,15,10,30,5,15,30,15,15,15,15,6,6,6,10,10,10,
10,10,10,10,10,10,10,10,5,15,15,15,15,5,15,15,6,6,6,6,6,12,10,10,10,10,10,10,
10,5,5,5,15,6,6,6,10,5,5,5,1,6,5,1,1,1,1,1,1,1],[1,38,45,10,6,40,40,75,90,30,
30,6,30,50,30,40,30,15,60,30,45,15,60,18,6,18,30,50,10,10,10,30,10,5,30,5,30,
15,15,6,18,18,12,12,10,10,10,10,10,10,10,10,15,15,6,6,6,10,5,5,5,1,6,5,2,3,1,
1,1,1],[1,36,20,15,10,5,1,40,10,30,45,30,15,45,30,6,30,30,20,10,20,30,5,30,10,
15,15,30,30,15,15,30,30,6,6,6,30,30,20,10,10,10,10,10,20,5,15,15,5,15,15,15,
15,6,6,6,12,12,10,10,10,10,10,10,10,10,5,10,15,6,6,6,10,5,5,5,1,6,5,2,1,2,1,1,
1,1],[1,2,18,30,45,10,1,30,30,6,1,30,45,15,90,15,30,30,6,20,10,30,20,30,1,15,
15,10,30,30,15,15,15,15,45,15,30,12,18,6,12,18,10,20,20,30,10,10,10,30,10,5,
15,5,15,5,15,5,15,6,12,12,6,6,18,6,18,6,10,10,10,10,10,10,10,10,15,5,6,6,6,6,
6,6,6,10,5,5,5,1,6,5,2,3,1,1,1,1],[1,2,16,50,15,10,1,30,30,5,40,10,15,45,15,
30,60,30,6,20,10,10,40,10,20,10,15,10,30,5,30,30,30,15,15,15,30,60,12,6,6,12,
6,10,20,20,10,20,10,10,10,10,10,20,5,15,5,15,15,15,15,15,6,12,12,6,6,12,12,10,
10,10,10,10,10,10,10,5,10,15,6,6,6,10,5,5,5,1,6,5,2,1,2,1,1,1,1],[1,6,8,30,15,
4,3,30,30,1,8,30,15,15,15,30,30,1,4,20,20,3,15,15,30,30,5,15,30,15,15,15,15,6,
3,1,6,3,20,20,20,1,4,15,15,15,15,5,15,15,3,6,6,1,3,3,3,3,3,1,6,3,6,20,1,5,5,4,
4,4,15,3,3,3,6,6,1,3,3,3,3,3,3,3,5,5,5,4,4,4,1,3,3,3,3,1,3,3,5,4,1,1,1,3,1,1,
1,1],[1,6,8,30,15,1,3,30,30,1,18,10,15,15,15,60,10,1,8,2,10,15,3,15,15,30,30,
5,15,60,15,5,45,5,6,3,1,6,3,1,10,1,6,10,15,5,15,20,10,10,1,15,15,15,5,15,15,
15,3,6,6,1,3,3,3,3,3,3,2,9,2,1,5,5,10,10,5,5,5,20,5,15,5,3,1,2,2,3,15,3,3,3,6,
6,1,3,3,3,9,1,9,1,5,5,5,5,5,5,5,1,1,1,3,1,3,1,2,1,2,3,2,2,3,3,3,1,3,3,3,5,1,1,
1,1,1,1,1,3,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,81,3,6,1,6,12,13,26,81,81,162,27,
162,324,108,216,3,3,12,6,12,6,12,4,12,24,13,24,4,4,3,24,6,12,27,27,108,54,108,
54,108,36,108,216,27,36,216,36,36,27,54,3,1,6,6,12,4,8,1,2,4,2,3,6,3,6,3,6,9,
3,18,18,36,12,24,9,9,9,9,1,1,2,1,2,2,4,1,3,3,6,1,1],[1,27,3,6,1,6,12,13,26,27,
27,54,9,9,18,27,54,3,3,12,6,12,6,12,4,12,24,13,24,4,4,3,24,6,12,9,9,27,9,18,
18,9,3,18,18,9,18,18,27,54,3,1,6,6,12,4,8,1,2,4,2,3,6,3,6,3,6,9,3,9,3,18,6,3,
6,9,9,9,1,1,2,1,2,2,4,3,3,6,1,1,1],[1,27,3,6,1,6,12,13,26,9,27,9,27,54,45,3,3,
12,6,12,6,12,4,12,24,13,24,4,4,3,24,6,12,9,9,9,18,3,27,9,18,18,45,18,18,3,6,3,
1,6,6,12,4,8,1,2,4,2,3,6,3,6,3,6,9,3,9,3,6,18,3,6,3,6,3,6,3,6,1,1,2,1,2,2,4,3,
1,3,6,1,1],[1,63,28,63,84,36,9,28,36,28,9,1],[1,21,28,1,56,14,21,28,21,8,21,
28,14,21,14,28,28,8,8,16,21,14,14,8,14,1,1],[1,21,28,1,56,7,7,21,21,28,8,21,
28,7,7,14,7,7,14,21,28,8,8,16,21,7,7,7,7,8,7,7,1,1],[1,7,28,1,56,7,28,7,56,8,
1,28,7,7,14,28,8,8,16,1,7,14,7,1,8,7,1,1,1,1,1],[1,15,1,10,1,2,20,20,40,5,6,
15,15,30,10,1,10,20,10,20,20,40,6,5,5,5,10,10,10,20,6,6,12,15,10,10,20,10,6,6,
12,5,5,10,5,10,10,20,6,10,1,6,5,1,1,2,1],[1,15,11,20,1,22,40,5,6,10,15,15,30,
10,11,40,20,40,6,5,5,10,5,10,10,20,6,6,12,10,10,20,15,10,6,6,12,5,5,10,5,10,
10,20,6,10,1,6,5,1,1,2,1],[1,12,42,36,9,8,32,42,108,36,2,6,36,36,36,27,54,18,
18,36,6,18,48,8,48,24,24,96,6,36,36,54,18,12,36,36,36,36,36,6,18,36,18,18,9,
36,36,18,36,18,9,18,9,36,36,36,16,24,48,48,24,24,8,24,24,24,2,16,24,36,18,9,
36,18,6,18,18,18,36,36,18,1,18,18,6,18,18,9,18,9,9,9,18,9,32,16,24,24,24,12,8,
24,24,24,2,12,6,6,48,24,18,6,18,9,18,18,9,18,9,16,8,24,6,12,12,6,6,2,6,6,6,2,
9,8,8,8,6,6,6,2,6,6,6,6,8,1,6,2,1,1],[1,24,18,72,9,4,1,8,48,144,72,2,12,12,72,
12,15,72,18,36,72,6,6,24,12,8,12,36,18,24,8,24,9,24,72,12,36,36,72,36,24,36,
36,72,36,12,6,36,36,36,36,3,36,12,36,36,6,9,36,3,12,72,36,4,12,24,24,36,4,4,
36,4,12,1,2,2,8,12,12,16,4,48,24,15,24,18,12,72,72,24,24,6,6,36,36,9,36,18,12,
36,18,18,36,36,6,1,36,6,12,18,36,9,18,3,9,9,18,3,8,12,4,8,12,12,12,12,6,12,12,
4,12,3,2,3,9,12,4,8,6,12,6,6,18,24,12,12,3,12,12,12,12,12,12,12,6,24,12,12,12,
24,12,9,12,3,12,24,12,18,12,18,9,18,18,3,18,9,4,8,8,4,4,12,4,12,4,1,12,3,6,6,
9,1,1,9,1,3,12,6,12,12,4,1,12,6,4,18,2,18,3,12,6,12,3,3,6,6,6,3,6,12,6,12,3,3,
9,4,4,4,4,4,4,4,2,1,2,3,3,3,3,3,3,3,1,3,6,3,6,4,6,6,6,3,3,6,4,2,1,2,3,1,1,3,1,
1,3,3,1,1,1,1,1,1,1,1],[1,42,33,8,32,2,36,36,27,90,42,54,48,24,96,96,32,36,6,
9,36,18,27,27,108,6,54,54,18,16,24,8,24,2,16,96,24,18,1,18,27,9,54,18,54,16,
32,24,12,6,48,24,24,24,9,6,9,9,18,16,8,6,2,6,2,24,9,8,6,6,6,2,1,6,1,2,1],[1,
42,9,8,32,2,36,36,27,18,72,6,18,48,24,96,36,6,9,36,18,9,36,9,36,36,16,24,8,24,
2,16,24,18,1,18,9,18,9,18,16,24,12,6,48,24,9,9,9,16,8,6,2,6,2,9,8,6,6,1,1,1],[
1,18,25,16,1,32,2,12,12,15,42,30,30,18,16,16,16,25,32,12,6,3,12,6,15,9,48,4,
24,30,6,16,8,2,16,12,12,15,42,16,30,30,12,24,6,1,6,9,3,24,12,18,16,16,16,12,8,
6,3,12,6,15,9,48,4,24,30,6,4,4,12,8,3,4,3,3,6,8,16,12,6,1,6,1,2,9,3,24,12,18,
4,3,8,4,4,12,3,4,1,1,1,2,3,3,6,1,4,3,1,1,1,1,1],[1,12,6,12,13,16,1,32,18,36,
12,4,3,18,12,36,14,6,48,6,48,16,4,4,13,32,12,18,36,12,1,3,18,3,12,36,2,6,6,2,
16,48,4,4,8,6,12,3,6,12,12,4,14,6,8,16,3,18,18,3,9,6,6,16,16,16,12,12,4,4,1,4,
8,6,12,3,6,3,12,12,2,6,6,2,8,16,8,8,8,9,1,9,4,16,8,12,1,3,3,6,6,6,6,3,4,4,4,8,
8,3,1,3,1,2,4,3,1,1,1],[1,18,25,16,1,32,6,4,12,27,54,26,30,18,16,16,16,25,32,
12,18,1,12,6,27,3,36,2,18,30,2,16,6,4,4,8,12,27,54,16,26,30,8,16,6,3,6,3,3,18,
18,6,16,16,16,12,18,4,4,4,1,12,8,6,27,3,36,2,18,30,2,8,8,8,16,8,8,8,3,6,1,3,6,
4,16,8,6,3,6,4,3,3,18,18,6,8,3,4,4,4,8,8,8,8,3,6,1,3,1,2,6,4,8,3,1,1,1],[1,6,
72,13,16,1,32,18,4,36,3,36,12,18,36,14,6,6,48,48,16,24,13,96,96,32,36,18,36,1,
36,18,3,3,12,36,36,2,6,6,36,2,16,4,4,8,6,12,3,12,12,6,48,12,14,6,96,8,16,18,
18,9,3,9,6,6,18,36,36,16,16,16,12,4,12,12,1,12,24,8,24,6,12,6,3,3,12,12,12,2,
6,6,12,2,8,16,8,8,8,9,18,1,9,18,4,16,8,12,6,3,24,6,3,3,6,6,6,12,12,24,24,24,9,
4,4,4,8,8,3,1,3,1,2,6,6,4,8,3,3,6,1,1],[1,9,27,27,3,6,40,27,81,27,18,18,3,18,
27,27,108,18,54,36,27,3,6,4,12,24,27,18,54,54,27,27,27,9,6,6,18,3,9,18,18,12,
36,27,27,1,4,8,18,9,3,18,18,9,3,3,1,12,9,4,3,3,1,4,1,1,1],[1,18,9,18,3,6,1,6,
12,4,8,27,27,9,36,36,6,6,9,18,9,18,18,36,6,6,6,6,12,12,27,3,3,12,6,12,6,12,4,
12,24,4,24,4,4,27,18,27,9,9,18,9,9,18,18,12,12,6,6,12,1,6,9,2,12,6,24,18,6,6,
12,6,12,12,6,2,12,12,24,12,12,12,27,9,3,1,6,6,12,4,8,18,3,6,1,3,9,9,9,18,6,6,
6,1,1,2,6,4,2,6,12,4,6,6,2,12,4,3,9,1,3,6,1,1,2,3,1,1,6,1,2,2,3,1,1,1,1,1],[1,
27,18,3,6,1,6,12,4,8,27,9,27,18,27,6,27,54,18,18,6,18,36,12,27,3,3,12,6,12,6,
12,4,12,24,4,24,4,4,27,9,9,27,9,18,27,18,18,18,36,3,6,27,6,6,12,18,2,18,36,18,
6,12,12,12,12,12,9,27,3,1,6,6,12,4,8,27,9,1,3,9,9,6,18,18,3,3,6,6,2,6,18,2,4,
12,9,3,1,9,1,1,2,3,1,1,6,3,2,3,1,1,1,1,1],[1,9,9,81,3,6,1,6,12,4,8,81,9,81,18,
18,3,6,9,81,9,18,6,162,3,27,6,162,324,108,216,81,3,3,12,6,12,6,12,4,12,24,4,
24,4,4,54,54,27,9,27,9,18,27,27,54,54,9,6,6,6,6,12,1,27,9,1,6,27,12,108,6,54,
108,6,12,6,54,108,36,12,108,216,36,216,36,36,27,27,54,3,1,6,6,12,4,8,9,18,18,
18,36,1,9,9,9,9,18,36,3,6,1,1,2,2,3,9,3,6,18,2,6,18,36,12,24,9,9,1,3,6,1,1,2,
3,3,3,6,6,6,1,1,1,3,3,6,1,1,1,1],[1,27,27,81,3,6,1,6,12,4,8,81,243,27,54,54,9,
18,27,81,27,54,18,162,9,27,18,162,324,108,216,81,3,3,12,6,12,6,12,4,12,24,4,
24,4,4,81,54,162,162,81,27,27,27,81,162,27,18,18,18,18,36,3,27,27,3,18,27,36,
108,18,54,108,18,36,18,54,108,36,36,108,216,36,216,36,36,81,27,3,1,6,6,12,4,8,
54,27,9,54,54,27,18,54,9,108,27,27,54,108,9,18,3,3,6,6,9,9,3,18,18,6,18,18,36,
12,24,27,27,1,9,9,18,9,18,3,9,1,18,18,3,3,1,3,9,3,1,3,1],[1,18,9,18,3,6,1,6,
12,4,8,27,27,81,36,36,6,6,9,6,9,18,6,18,6,6,18,12,36,12,81,3,3,12,6,12,6,12,4,
12,24,4,24,4,4,27,18,9,27,9,27,27,54,18,18,12,12,6,6,12,1,6,9,2,12,6,24,6,12,
6,2,6,12,12,18,6,12,12,24,12,12,12,27,27,3,1,6,6,12,4,8,18,3,6,3,9,9,9,9,6,18,
6,6,1,1,2,4,6,6,2,12,4,6,6,2,4,12,9,9,1,3,6,1,3,3,1,3,6,6,1,2,2,3,3,1,1,1,1],[
1,27,18,3,6,1,6,12,4,8,27,27,81,18,27,18,27,54,18,36,18,6,6,12,81,3,3,12,6,12,
6,12,4,12,24,4,24,4,4,27,27,27,27,9,27,54,18,18,18,36,3,6,27,6,18,18,6,12,18,
36,12,6,2,12,12,12,12,27,27,3,1,6,6,12,4,8,27,9,3,9,9,9,18,6,18,3,3,6,6,2,6,
18,2,12,4,9,9,1,9,3,1,3,1,3,6,6,3,2,3,3,1,1,1,1],[1,9,9,99,18,3,6,1,6,12,4,8,
81,54,27,27,162,18,18,3,6,9,81,6,18,9,18,18,36,6,6,162,18,6,3,33,18,6,162,12,
324,36,108,12,216,81,3,3,12,6,12,6,12,4,12,24,4,24,4,4,54,54,54,18,27,18,9,27,
54,27,9,27,54,18,54,108,18,54,18,54,108,9,6,6,6,6,12,1,6,27,6,9,1,6,27,6,6,12,
108,6,12,18,6,54,2,6,108,12,6,12,12,6,2,6,54,18,6,12,108,12,36,12,12,108,216,
12,36,12,216,12,12,36,12,36,12,54,27,27,3,1,6,6,12,4,8,9,18,18,18,18,6,18,36,
3,3,18,9,9,9,6,18,6,18,36,18,18,6,18,18,36,36,18,18,6,18,36,36,36,36,3,6,1,1,
2,6,2,2,3,9,6,3,2,6,18,2,6,6,6,18,2,2,36,12,4,4,12,12,24,9,18,9,18,1,3,6,6,3,
1,3,3,1,6,6,6,6,6,6,2,6,6,6,6,12,12,1,1,2,1,2,3,3,6,1,1,1,2,2,1],[1,27,54,3,6,
40,27,27,81,18,27,18,18,54,18,144,81,3,6,4,12,24,27,27,27,27,54,18,3,18,18,18,
6,36,12,24,27,27,1,4,8,9,3,9,18,3,6,12,24,9,4,3,1,3,4,3,1,1],[1,27,18,3,6,40,
27,27,81,18,27,18,18,36,18,6,36,81,3,6,4,12,24,27,27,27,27,18,18,3,6,18,18,6,
12,36,27,27,1,4,8,9,3,9,18,3,6,4,9,4,3,1,3,4,3,1,1],[1,27,18,3,6,4,36,27,27,
81,18,27,18,18,36,18,6,36,81,3,6,4,12,24,27,27,27,27,18,18,3,6,18,18,6,12,36,
27,27,1,4,8,9,3,9,18,3,6,4,9,4,3,1,3,4,3,1,1],[1,9,12,1,24,28,56,27,36,9,72,
12,9,12,4,24,28,4,4,9,72,27,36,12,12,12,12,1,9,9,9,9,4,4,8,9,12,12,3,12,4,1,4,
4,9,1,4,3,4,1,1,1,1,1],[1,1,45,45,20,20,45,15,15,45,45,45,45,36,20,20,60,60,
60,60,15,15,45,45,45,45,45,10,36,36,36,60,60,15,15,45,10,10,10,36,15,15,15,15,
15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,15,45,15,20,20,45,45,15,45,15,45,45,
36,60,20,60,60,60,20,45,15,45,15,45,45,45,10,36,60,15,15,60,45,20,10,20,36,15,
15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,60,15,20,20,15,60,90,45,45,
36,80,60,60,60,20,90,15,15,90,45,10,36,60,15,15,60,45,20,10,20,36,30,15,15,15,
15,10,10,10,15,15,6,6,10,6,6,1,1],[1,3,15,55,30,1,10,20,45,30,15,5,15,45,45,
45,90,6,30,1,15,15,10,10,10,20,10,10,30,30,30,60,60,45,15,45,15,45,45,45,10,
18,6,18,30,30,30,15,10,15,15,5,15,15,15,30,5,10,10,30,60,30,30,6,45,10,10,10,
10,10,10,10,18,6,18,15,30,15,5,15,15,15,15,15,5,15,30,6,6,6,10,10,10,5,10,10,
10,10,18,15,15,1,6,6,6,5,10,5,5,3,1,3,6,5,1,3,1,1,1,1],[1,3,15,75,10,10,1,20,
45,30,45,5,45,15,45,15,90,6,30,15,30,10,30,30,10,10,1,25,10,60,60,20,45,15,45,
45,45,15,45,10,18,6,18,30,30,30,5,5,10,15,15,15,15,15,15,30,30,10,30,10,30,60,
6,45,10,10,10,10,10,10,10,18,18,6,15,30,15,5,15,5,15,30,15,15,15,15,6,6,6,5,
10,10,10,10,10,10,10,18,15,15,1,6,6,6,5,5,5,10,3,3,1,6,5,1,3,1,1,1,1],[1,13,
45,45,11,20,45,135,5,15,45,45,45,6,50,20,11,50,45,45,60,60,15,45,45,15,45,45,
45,10,18,6,18,45,50,90,60,45,45,5,15,15,15,5,10,6,45,10,20,20,10,10,18,6,18,
15,45,15,15,5,15,15,15,5,15,30,6,6,6,20,10,10,20,10,5,18,15,15,1,6,6,6,10,5,5,
5,1,3,3,6,5,1,3,1,1,1,1],[1,33,25,45,10,1,20,75,135,5,45,15,45,15,6,60,30,20,
10,30,25,20,11,15,60,60,45,45,45,15,45,15,45,10,18,6,18,30,60,60,30,10,5,5,10,
15,15,25,15,45,15,60,6,45,20,10,10,20,10,18,18,6,30,15,15,5,15,15,5,30,15,15,
15,15,6,6,6,10,20,20,10,10,5,18,15,15,1,6,6,6,10,5,5,5,3,1,3,6,5,1,3,1,1,1,
1],[1,36,15,10,1,20,5,40,30,45,15,6,30,30,10,36,60,15,30,5,15,30,15,10,6,6,6,
30,30,10,5,5,10,40,20,30,45,15,6,15,30,30,10,6,12,10,10,5,30,5,10,15,30,15,6,
6,6,30,30,10,5,6,5,15,1,6,12,10,10,5,2,1,6,5,1,1,2,1,1],[1,3,25,75,10,1,20,75,
5,15,45,15,135,45,6,30,20,10,60,30,25,20,1,25,120,15,45,45,15,45,45,45,10,18,
6,18,60,30,10,60,30,5,5,10,15,15,25,15,45,15,60,6,45,20,10,10,20,10,18,6,18,
30,15,5,15,15,5,15,30,15,15,15,15,6,6,6,10,20,20,10,10,5,18,15,15,1,6,6,6,10,
5,5,5,1,3,3,6,5,1,3,1,1,1,1],[1,30,16,30,15,10,1,20,45,30,90,5,45,15,45,15,45,
6,30,30,10,10,30,10,30,16,20,10,10,15,60,60,45,45,45,5,45,45,45,10,6,6,6,30,
30,30,30,30,10,30,5,5,10,15,15,10,15,15,15,15,60,30,6,45,10,10,10,10,10,10,10,
6,18,18,30,15,5,15,15,5,15,30,10,30,15,15,15,15,6,6,6,10,10,10,10,10,10,10,5,
18,15,15,30,1,6,6,6,10,5,5,5,3,1,3,6,5,1,3,1,1,1,1],[1,6,16,90,15,10,1,20,3,
90,90,5,90,15,45,15,90,6,60,10,10,60,10,16,20,2,30,15,120,45,30,90,5,45,10,36,
6,6,36,6,30,60,60,10,30,5,5,10,1,30,30,15,15,15,60,30,30,6,15,10,10,20,20,10,
18,36,36,6,18,30,30,5,10,5,10,15,30,15,6,6,12,12,6,20,10,10,10,20,5,18,15,5,1,
6,6,6,12,12,10,10,5,6,1,6,5,1,3,2,1,1],[1,18,45,10,1,20,6,45,90,30,6,10,30,30,
18,60,45,30,45,10,18,6,18,30,10,30,5,6,10,20,45,90,30,6,5,10,30,30,6,18,18,10,
15,30,30,45,18,6,18,30,10,30,5,6,5,5,10,1,6,18,18,10,15,3,6,5,1,1,3,1],[1,16,
60,15,10,1,20,5,30,15,90,15,90,90,6,10,10,60,10,60,16,20,20,15,120,5,90,45,45,
90,10,6,6,6,10,60,30,30,60,5,5,10,10,15,30,15,30,60,30,6,45,10,10,20,10,20,6,
36,30,5,30,5,30,10,60,15,15,30,6,6,6,10,20,10,10,20,5,18,15,15,30,1,6,12,10,5,
10,1,6,6,5,1,3,1,2,1],[1,16,15,10,1,20,5,10,15,15,30,6,10,10,10,16,20,15,5,15,
15,10,6,6,6,10,10,10,5,5,10,10,20,15,15,30,6,15,10,10,10,6,12,10,5,5,10,15,15,
6,6,6,10,10,10,5,6,5,15,1,6,12,10,5,1,6,5,1,1,1,1],[1,16,15,10,1,20,5,3,15,15,
45,6,10,10,10,16,20,15,5,45,45,10,6,6,6,10,30,30,5,5,10,1,15,15,15,60,6,15,10,
10,10,18,6,18,30,5,5,10,15,15,6,6,6,10,10,10,5,18,15,5,1,6,6,6,10,5,1,6,5,1,3,
1,1],[1,18,45,14,80,6,45,90,30,6,10,90,30,30,45,40,18,6,18,30,30,30,6,60,120,
24,5,40,6,18,18,10,30,24,30,6,10,10,1,6,10,3,6,5,4,1,1],[1,18,45,10,4,80,6,45,
90,30,6,10,30,30,60,30,45,40,18,6,18,30,10,30,5,1,20,60,120,24,5,40,6,18,18,
10,15,15,24,10,20,6,5,5,10,1,6,10,3,6,5,4,1,1],[1,18,8,90,15,4,1,8,9,90,90,1,
9,15,45,15,45,1,12,20,60,8,40,6,30,15,24,120,9,45,45,5,45,45,45,4,18,3,1,18,3,
60,1,1,2,3,3,30,15,15,15,15,120,30,4,1,8,45,20,4,20,9,18,18,1,9,3,9,3,9,3,5,
15,3,5,15,6,10,30,15,15,15,15,12,4,12,3,1,8,6,6,3,24,24,20,1,9,9,9,1,9,9,9,4,
15,15,30,12,1,1,2,3,3,3,3,3,3,6,24,6,1,5,5,9,4,4,4,3,1,3,3,1,3,6,2,6,3,3,3,3,
5,4,1,3,3,6,1,1,1,1],[1,8,15,4,1,8,1,30,15,15,30,1,20,8,40,15,5,15,15,4,3,1,3,
20,1,1,2,30,15,15,30,4,1,8,15,20,1,3,3,6,6,5,5,10,15,15,4,3,1,8,3,20,1,1,3,3,
4,5,15,4,1,1,2,3,3,6,6,5,3,4,1,1,2,3,3,5,4,1,1,3,1,1],[1,8,15,4,1,8,1,15,15,
15,45,1,20,8,40,15,5,45,45,4,3,1,3,60,1,1,2,5,15,15,15,4,1,8,15,20,1,3,3,3,9,
5,5,10,15,15,4,3,1,8,3,20,1,1,9,9,4,15,5,12,1,1,2,3,3,1,3,5,3,4,1,1,2,3,3,5,4,
1,3,1,1,1],[1,18,18,102,21,1,4,1,2,8,8,16,36,162,144,3,9,10,108,12,27,108,27,
27,162,9,36,3,3,9,27,7,21,18,18,12,24,4,12,36,12,12,6,34,21,6,54,24,72,24,72,
24,144,9,30,36,108,27,36,36,36,162,54,12,9,27,36,27,27,3,54,18,81,54,9,1,4,8,
4,8,8,16,9,9,18,27,27,36,36,36,27,21,3,9,27,3,27,3,9,1,9,9,27,3,9,54,3,6,1,10,
2,2,2,4,12,6,12,3,54,36,27,36,27,9,54,54,18,18,12,36,72,12,36,48,54,72,36,27,
9,54,27,27,27,54,54,9,27,12,3,9,1,3,9,7,7,4,8,12,4,12,4,12,24,24,4,8,4,4,12,
12,12,12,24,24,8,24,24,48,9,3,3,6,9,9,9,9,9,27,9,9,27,9,9,9,36,9,9,3,27,9,3,9,
1,3,9,3,27,9,3,3,9,9,9,3,9,9,9,12,6,3,12,9,9,18,18,1,3,3,9,3,10,12,3,12,18,18,
6,6,18,18,6,6,18,36,12,12,18,18,9,18,18,36,9,9,9,54,27,4,27,12,12,12,3,3,6,9,
9,3,3,9,3,9,3,9,1,3,9,9,3,3,1,2,7,9,18,4,12,24,12,12,1,2,2,4,4,12,12,24,12,12,
12,12,24,9,9,9,3,9,9,3,9,18,9,9,9,9,9,9,9,9,9,9,3,9,12,9,18,18,9,9,3,9,3,18,9,
18,18,9,9,4,4,4,4,4,4,4,3,3,12,3,3,3,1,3,3,3,1,2,9,3,3,9,3,3,3,3,3,3,3,3,3,3,
3,3,1,9,3,1,3,3,9,3,3,3,3,3,1,3,1,3,6,6,1,2,1,1,3,3,3,3,6,6,2,6,6,12,12,9,9,9,
1,4,4,4,4,4,4,4,3,3,3,3,3,3,3,3,1,3,3,3,1,3,6,3,3,3,3,3,3,3,3,1,3,3,6,3,3,3,3,
6,1,1,1,1,1,1,1,4,3,3,3,1,1,1,1,1,1,1,1],[1,30,30,90,9,5,8,1,10,16,90,270,108,
1,9,30,36,12,27,162,9,27,54,69,24,15,23,21,63,3,9,30,42,24,72,10,30,9,30,126,
144,9,90,36,162,27,12,36,108,54,54,12,3,27,36,27,27,9,54,18,27,54,9,4,5,16,8,
16,63,69,126,27,27,72,63,9,21,9,27,1,9,3,9,3,27,3,9,3,9,18,1,2,1,2,2,4,30,6,
12,6,30,3,90,12,27,54,9,9,126,18,54,18,36,18,36,27,27,54,27,9,27,54,54,9,27,
12,24,23,8,16,4,12,21,5,23,21,3,3,48,48,24,8,24,48,9,9,9,63,9,27,9,27,27,3,9,
9,9,12,6,3,9,9,9,9,3,9,3,3,9,1,9,9,3,3,9,9,9,3,9,9,9,3,4,3,9,12,6,6,18,3,4,3,
9,6,6,18,6,18,36,30,12,9,36,18,18,18,18,12,12,18,18,9,18,18,54,9,9,9,18,9,4,
27,24,12,12,24,21,23,42,9,9,4,48,1,1,2,3,21,21,3,3,9,3,9,3,3,3,3,3,9,6,1,2,2,
4,24,9,9,9,9,9,9,9,9,3,9,9,9,12,18,18,9,9,3,9,9,3,12,9,18,18,9,3,18,9,18,9,18,
9,9,8,4,8,4,4,12,3,3,3,21,3,3,9,3,3,9,9,1,3,3,3,1,2,1,3,1,3,1,3,1,3,3,6,6,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,2,1,4,3,3,6,6,6,2,6,12,9,9,9,8,4,8,4,4,1,3,3,
3,3,3,3,3,3,3,3,3,3,1,3,3,3,1,3,6,3,3,3,3,4,3,6,6,3,3,6,4,1,1,1,1,1,1,1,3,3,3,
1,1,1,1,1,1,1,1],[1,18,6,54,9,8,32,1,16,64,9,54,54,2,9,54,9,27,18,27,54,6,72,
12,24,36,6,48,6,18,9,24,72,9,27,27,18,54,6,27,27,27,27,9,27,54,16,8,64,32,64,
36,36,8,36,36,2,16,2,4,16,32,3,3,18,18,9,9,18,9,72,72,18,18,6,24,48,27,9,27,1,
27,9,27,48,24,4,24,12,96,36,18,12,3,6,9,3,6,6,9,6,12,18,24,9,9,9,9,18,9,9,9,
18,16,9,8,8,16,12,12,12,12,2,16,16,32,24,9,9,2,9,9,9,3,1,9,3,18,4,18,2,4,9,9,
16,12,12,4,12,24,1,6,6,3,24,9,3,3,6,8,3,3,2,3,3,1,4,2,4,4,4,3,1,3,6,1,1],[1,
42,9,8,32,1,16,64,2,36,36,27,18,6,18,48,24,42,48,96,9,36,6,9,36,18,9,9,36,16,
8,64,32,64,24,8,24,2,16,2,4,16,32,36,36,27,18,6,18,24,48,18,1,18,9,9,48,16,24,
96,24,12,6,36,48,6,12,9,36,18,9,9,36,24,16,9,24,8,8,16,24,2,16,16,32,24,6,2,6,
18,1,18,4,2,4,9,9,16,24,8,12,6,48,24,6,9,6,8,6,2,6,1,4,2,4,8,6,1,6,1,1],[1,6,
21,8,32,1,16,64,2,9,18,24,18,24,6,48,48,16,21,96,6,9,18,3,9,18,16,8,64,32,64,
8,2,16,2,4,16,32,9,18,24,18,24,48,1,9,9,16,24,48,16,32,6,6,12,9,18,3,9,18,12,
12,24,16,3,8,8,16,2,16,16,32,24,2,1,4,2,4,9,9,16,6,12,12,3,3,1,6,8,2,1,4,2,4,
1,3,1,2,1,1],[1,12,38,60,45,10,36,140,120,6,16,40,60,40,75,120,90,60,120,30,
30,6,30,10,30,50,50,30,30,16,40,40,120,60,20,40,60,120,60,40,30,60,40,60,60,
15,60,60,60,60,30,45,60,15,60,120,60,12,18,6,12,18,30,30,60,50,50,50,30,30,50,
50,10,30,10,10,10,30,30,30,10,10,60,5,40,60,15,60,30,20,60,30,30,60,60,30,5,
60,30,20,30,60,15,30,15,15,15,30,15,6,12,12,6,6,18,6,18,6,6,12,18,12,10,10,10,
30,10,30,10,50,30,10,30,10,10,10,10,10,10,30,10,10,10,10,10,10,10,30,10,10,10,
10,10,10,10,10,10,10,5,10,15,15,30,20,30,15,30,30,15,30,15,6,6,6,12,12,6,6,6,
6,18,6,18,6,10,10,10,10,10,10,10,5,10,10,10,10,10,10,10,10,10,10,15,5,5,15,5,
5,1,15,6,6,6,6,6,6,6,10,5,5,5,5,5,5,5,1,2,2,3,3,6,5,2,3,1,2,1,1,3,1,1,1,1,1,1,
1,1,1,1],[1,27,3,6,1,6,12,40,80,27,18,27,27,54,18,3,3,12,6,12,6,12,4,12,24,40,
24,4,4,12,96,24,48,27,27,27,54,18,18,36,3,27,18,18,36,3,1,6,6,12,4,8,4,8,16,8,
12,24,12,24,12,24,27,9,27,18,3,3,6,18,1,4,8,4,8,8,16,9,1,3,4,1,1,2,1],[1,108,
27,3,6,1,6,12,13,26,243,81,9,27,27,135,9,162,27,9,36,27,162,18,324,54,135,45,
270,3,3,12,6,12,6,12,4,12,24,13,24,4,4,3,24,6,12,81,81,243,81,81,162,9,27,9,
27,9,9,108,9,18,27,54,3,9,108,18,18,9,3,54,27,9,18,108,18,36,18,108,216,45,45,
45,216,18,18,36,18,36,18,54,3,108,6,3,1,6,6,12,4,8,1,2,4,2,3,6,3,6,3,6,27,27,
27,54,27,54,27,27,54,81,54,54,27,9,3,9,9,3,3,18,9,9,18,3,3,36,18,6,6,12,18,24,
9,3,3,6,6,18,3,6,9,9,3,6,9,9,3,6,1,1,2,1,2,2,4,9,9,9,9,18,18,9,9,9,9,3,1,3,3,
3,1,6,3,1,3,6,6,1,3,3,3,1,1,1,1],[1,84,21,28,1,56,126,14,21,84,84,28,28,21,
168,8,63,21,63,28,84,42,14,21,14,28,24,63,28,28,28,8,8,16,21,21,21,14,28,14,
24,8,21,8,14,8,1,3,1,1],[1,3,21,63,28,1,56,63,7,7,63,21,63,63,84,21,28,84,1,
21,168,8,21,21,63,21,63,63,63,28,84,7,7,14,7,7,14,21,21,21,21,21,24,63,28,28,
28,8,8,16,21,21,21,7,21,7,21,42,7,21,7,21,42,21,21,7,7,28,24,8,21,21,21,8,7,7,
7,7,7,7,8,7,7,1,3,1,1],[1,45,20,20,1,40,40,15,15,45,36,60,45,60,45,10,20,40,
20,40,36,15,15,30,15,15,30,45,36,60,10,60,15,45,15,10,36,10,15,15,10,6,6,15,
15,10,6,6,1,1],[1,45,21,60,40,15,15,45,36,60,45,60,45,30,60,40,36,15,15,45,15,
30,15,30,36,60,10,60,45,15,15,10,36,10,15,15,10,6,6,15,15,10,6,6,1,1],[1,45,
20,20,1,40,40,15,15,45,36,60,45,60,45,10,20,40,20,40,36,15,15,30,15,15,30,45,
36,60,10,60,15,45,15,10,36,10,15,15,10,6,6,15,15,10,6,6,1,1],[1,15,30,1,10,1,
2,20,20,40,45,5,45,6,15,30,15,30,30,60,10,30,10,60,45,1,10,20,10,20,20,40,6,
45,5,45,5,5,10,10,10,20,15,15,30,6,6,12,15,10,30,10,30,60,10,20,10,10,20,18,
45,15,15,30,10,6,6,12,15,5,15,5,10,30,5,10,10,20,10,6,10,10,10,1,18,6,15,15,
30,5,6,5,10,3,1,1,2,6,5,3,1,1,1],[1,9,15,135,1,10,1,2,20,20,40,135,5,135,6,90,
3,15,45,15,30,10,90,3,45,6,90,180,180,360,45,1,10,20,10,20,20,40,54,6,54,90,
45,5,45,5,5,10,10,10,20,45,45,90,90,6,6,12,30,15,1,15,10,30,60,10,20,30,30,60,
60,60,120,54,45,15,15,30,10,18,6,18,6,12,18,18,36,36,30,15,5,15,5,10,5,10,10,
20,30,60,6,10,10,10,1,18,18,36,15,5,15,30,6,6,6,5,10,9,1,1,2,6,5,3,3,6,1,1],[
1,15,30,1,10,1,2,20,20,40,5,45,45,6,15,10,15,30,10,30,30,30,60,60,45,1,10,20,
10,20,20,40,6,15,5,15,5,5,10,10,10,20,45,45,30,6,6,12,15,10,10,20,10,10,10,20,
30,30,60,18,15,15,45,30,10,6,6,12,15,5,15,5,10,10,5,10,10,20,30,6,10,10,10,1,
6,18,15,5,15,30,6,5,10,3,1,1,2,6,5,3,1,1,1],[1,30,15,11,20,1,22,40,45,5,45,6,
60,60,30,10,15,15,30,10,60,45,10,11,40,20,40,6,45,30,5,45,5,10,5,10,10,20,15,
15,6,6,12,30,30,10,10,20,15,10,20,60,20,18,45,15,15,30,10,6,6,12,30,10,5,5,10,
15,15,5,10,10,20,6,10,10,10,1,18,6,15,15,30,5,6,10,5,3,1,1,2,6,5,3,1,1,1],[1,
45,11,20,1,22,40,5,45,45,6,50,45,45,90,60,45,10,11,40,20,40,6,45,5,15,5,10,5,
10,10,20,45,45,6,6,12,50,20,40,10,45,60,18,15,15,45,30,10,6,6,12,45,10,5,5,10,
15,5,10,10,20,6,20,10,1,6,18,15,5,15,30,6,10,5,3,1,1,2,6,5,3,1,1,1],[1,9,15,
135,11,20,1,22,40,135,5,135,6,90,3,10,15,135,15,30,180,3,45,6,270,360,45,10,
11,40,20,40,54,6,54,90,45,5,45,5,10,5,10,10,20,45,45,90,90,6,6,12,30,10,10,20,
30,15,1,30,45,60,120,60,120,54,45,15,15,30,10,18,6,18,6,12,18,18,36,36,30,30,
60,5,5,10,15,15,5,10,10,20,6,10,10,10,1,18,18,36,15,5,15,30,6,6,6,10,5,9,1,1,
2,6,5,3,3,6,1,1],[1,12,42,36,33,8,32,42,108,36,2,6,36,36,36,27,54,90,90,36,42,
54,48,8,48,24,24,96,96,32,6,36,36,54,90,12,36,36,36,36,36,6,18,36,18,18,9,36,
36,18,36,18,27,54,27,108,108,36,6,54,54,36,18,16,24,48,48,24,24,8,24,24,24,2,
16,96,24,36,18,9,36,18,6,54,18,54,36,36,18,1,18,18,6,18,18,9,18,27,27,9,18,9,
54,18,54,18,36,36,32,16,32,24,24,24,12,8,24,24,24,2,12,6,6,48,24,24,24,18,6,
18,27,18,18,9,18,6,9,18,9,9,9,27,18,18,16,16,16,8,24,6,12,12,6,6,2,6,6,6,2,24,
9,9,9,9,9,9,9,16,8,8,8,6,6,6,2,6,6,6,6,6,2,9,8,1,6,6,2,1,2,1,1,1,1],[1,12,18,
84,25,16,1,32,18,108,84,6,18,4,108,12,27,54,54,54,108,26,30,48,18,48,16,48,48,
16,16,4,28,25,96,96,32,18,12,36,54,54,36,36,12,108,36,12,18,54,36,54,54,1,36,
12,54,36,6,27,54,3,36,108,36,2,18,30,36,2,16,48,48,48,6,4,4,8,12,6,6,36,36,27,
18,54,18,48,48,16,48,28,36,26,30,96,8,16,36,54,3,36,18,18,54,18,18,36,36,6,3,
54,6,18,18,54,9,18,3,9,9,18,3,18,18,6,18,36,36,16,16,16,16,16,16,16,12,12,48,
12,6,12,18,18,4,12,4,12,4,4,12,1,4,12,12,24,8,24,12,12,12,12,6,18,18,18,18,36,
18,27,18,3,36,36,12,2,18,30,12,2,8,8,8,16,8,8,8,18,18,18,9,18,18,3,18,6,9,18,
1,3,9,9,18,6,4,16,16,16,16,16,16,16,8,12,12,12,12,12,12,6,12,18,6,3,18,6,6,4,
12,1,12,6,12,3,3,24,6,6,6,3,6,18,6,18,3,3,18,18,6,6,12,12,8,24,24,24,9,3,9,3,
9,9,9,4,4,4,4,4,4,4,16,8,8,8,8,12,6,3,6,6,6,6,6,3,3,1,3,3,3,1,2,6,6,6,6,9,4,4,
4,4,4,4,4,8,8,3,3,3,3,1,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,9,27,45,54,3,6,40,27,
81,54,27,27,27,81,81,162,18,18,3,18,27,27,18,18,18,144,18,6,54,54,18,72,144,
27,27,81,81,81,81,81,3,6,4,12,24,27,18,54,54,54,18,27,18,27,27,27,27,27,54,27,
18,54,216,54,54,81,9,6,6,18,3,6,9,18,18,18,18,18,6,6,12,12,36,72,12,24,27,27,
27,27,54,27,27,27,27,27,27,1,4,8,18,9,18,3,18,18,18,6,9,3,3,9,9,18,18,18,18,
18,36,36,27,27,3,3,6,1,6,12,4,12,24,9,9,9,3,9,18,9,9,4,3,3,6,3,3,1,3,3,6,12,9,
4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,27,27,99,18,3,6,1,6,12,4,8,81,243,54,27,
27,9,27,81,162,54,54,9,18,27,81,6,18,27,54,18,36,18,6,162,18,6,9,33,18,18,162,
12,324,36,108,12,216,81,27,81,81,81,81,27,3,3,12,6,12,6,12,4,12,24,4,24,4,4,
81,54,162,54,162,18,81,18,27,9,27,9,27,54,27,9,18,27,81,9,27,27,162,54,18,54,
108,18,54,18,54,108,81,27,18,18,18,18,36,3,6,27,6,27,3,18,27,6,6,36,108,6,12,
18,18,54,2,6,108,12,18,36,12,6,2,18,54,18,6,12,108,12,36,12,36,108,216,12,36,
12,216,12,12,36,12,36,12,27,81,27,54,27,27,9,27,27,27,27,9,27,54,27,27,3,1,6,
6,12,4,8,54,27,18,9,54,18,54,6,27,18,54,9,108,1,3,3,9,18,27,27,9,9,9,9,6,18,6,
18,36,18,18,6,54,18,108,36,18,18,6,18,36,36,36,36,27,27,9,18,3,3,6,6,6,2,9,9,
6,3,2,18,18,6,6,6,18,18,2,2,36,12,4,4,12,12,24,27,9,9,3,9,18,27,9,9,9,3,9,9,9,
9,18,1,9,9,6,18,9,18,1,1,2,3,3,1,9,3,3,1,1,3,18,6,6,6,6,6,18,2,6,6,6,6,12,12,
9,9,3,3,2,1,2,3,3,3,3,3,9,3,3,1,3,1,6,3,3,3,6,1,3,1,1,3,1,1,2,2,3,3,1,1,1,1,1,
1,1,1],[1,108,9,12,1,24,28,56,162,27,108,36,108,36,36,9,72,216,72,108,12,216,
81,81,9,12,4,24,28,4,4,9,72,108,108,54,27,216,81,36,12,36,36,12,12,72,36,36,
12,36,36,12,12,12,12,108,1,216,27,27,9,9,9,9,4,4,8,9,12,12,36,36,36,36,36,18,
3,27,27,27,27,12,4,12,12,12,4,24,36,1,12,36,4,12,36,4,9,9,9,1,4,12,12,6,3,12,
12,9,9,4,4,4,3,3,1,1,1,1,4,3,3,3,3,1,1],[1,42,49,112,14,28,84,63,126,70,126,
112,112,112,64,84,42,7,84,42,63,21,168,8,84,126,14,56,28,112,112,42,7,42,21,
21,84,84,42,64,56,28,28,28,56,56,112,56,21,28,7,21,42,7,28,56,8,21,7,7,7,7,8,
8,8,7,7,1],[1,16,60,60,15,20,20,60,180,60,15,45,60,90,90,45,90,45,45,90,36,80,
20,20,80,60,60,60,60,20,60,60,20,45,60,90,90,45,30,90,60,90,90,90,15,45,90,45,
45,15,90,90,45,90,45,10,36,36,36,60,80,120,60,60,20,60,60,15,15,60,60,60,60,
90,45,15,90,45,15,45,90,90,45,45,10,20,20,10,20,10,20,36,36,36,15,60,30,15,60,
15,30,15,15,15,15,15,15,15,45,20,10,20,10,20,10,10,10,10,10,20,36,15,15,15,15,
30,30,15,15,15,15,15,15,6,6,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,6,6,1,1,
1,1,1],[1,10,18,30,45,14,80,15,30,90,6,15,30,45,45,90,45,90,30,6,50,80,10,10,
90,30,30,30,15,45,45,10,90,30,45,45,45,45,45,45,90,40,18,6,18,60,10,30,30,30,
30,30,30,30,30,60,30,30,60,6,60,120,24,45,15,45,5,45,15,45,40,40,40,6,18,18,6,
18,60,30,10,30,10,20,10,30,10,30,5,30,15,24,15,40,30,6,18,18,15,10,15,10,15,
15,10,1,24,6,10,10,10,20,6,15,5,1,3,3,6,10,5,4,3,1,3,6,5,4,1,1,1],[1,36,36,
120,15,10,1,20,108,360,180,5,45,40,90,30,45,270,15,45,90,6,90,30,30,30,90,10,
30,36,60,12,40,15,60,180,45,120,90,270,45,30,90,180,90,90,30,5,45,90,45,45,15,
90,30,45,90,15,10,36,6,6,36,6,90,90,180,90,90,90,30,30,30,90,10,90,5,5,10,40,
20,30,36,15,120,30,45,90,15,15,180,180,60,30,6,90,45,45,90,45,15,45,90,90,15,
45,30,30,10,30,30,10,10,18,36,36,6,18,18,12,18,30,90,90,90,90,30,30,10,15,10,
5,15,30,15,10,5,15,30,10,30,40,30,15,60,30,30,60,30,30,30,30,15,90,15,15,15,
30,15,6,6,12,12,6,45,30,30,60,30,30,30,30,30,10,30,10,30,5,18,36,36,18,6,30,
15,30,30,15,5,30,15,30,15,5,30,15,30,15,30,15,15,1,6,6,6,12,6,12,6,12,30,10,
30,30,30,10,10,10,5,10,5,5,18,15,15,3,2,6,1,3,6,6,6,12,12,10,10,5,10,5,5,1,6,
3,1,6,3,6,5,2,1,2,1,1,3,2,1,2,1,1,1],[1,38,45,10,1,20,6,40,40,75,90,30,30,6,
30,50,30,38,100,45,40,30,15,60,30,45,15,60,10,18,6,18,30,50,10,10,10,30,10,5,
6,10,20,40,20,40,20,75,90,30,30,6,30,5,30,15,15,30,50,30,6,18,18,12,12,10,10,
10,10,10,10,10,10,15,40,20,30,30,15,60,30,45,15,60,18,6,18,15,30,50,10,10,10,
30,10,5,6,6,6,10,5,5,5,30,5,30,10,15,15,1,6,18,18,12,12,10,10,10,10,10,10,10,
10,15,6,5,15,2,3,6,6,6,10,5,5,5,1,1,1,1,6,5,2,3,1,1,1,1,1],[1,36,60,15,10,1,
20,5,3,40,30,30,45,90,15,135,90,6,30,30,60,10,60,36,60,20,15,120,30,5,90,30,
45,15,90,30,45,15,90,90,10,6,6,6,30,30,60,30,30,10,30,30,60,5,5,10,40,20,30,1,
10,45,30,15,45,60,60,30,6,15,45,15,45,45,45,45,30,30,20,10,20,18,6,18,12,36,
30,10,30,30,30,30,30,10,5,30,30,5,30,10,60,10,15,30,30,60,15,15,15,30,30,6,6,
6,45,30,30,20,10,10,10,10,10,20,5,18,18,6,30,5,15,15,15,15,5,30,15,15,15,15,1,
6,6,6,12,12,10,10,10,10,10,10,10,10,5,10,18,15,15,2,1,6,6,6,6,10,5,5,5,1,1,3,
3,6,5,2,1,2,3,1,1,1,1],[1,30,18,90,45,10,1,20,45,90,270,6,45,90,45,135,90,135,
270,30,6,30,30,10,30,90,30,90,18,60,10,30,45,60,180,45,135,135,30,270,30,135,
135,135,135,45,135,270,10,18,6,18,30,90,90,90,90,30,90,10,90,30,90,180,5,6,10,
20,15,15,30,30,45,45,90,45,180,180,90,90,30,6,135,45,135,5,135,45,135,10,30,
10,10,30,30,30,6,18,18,18,54,90,30,90,30,90,10,90,15,15,45,15,10,30,45,30,30,
90,60,45,45,45,45,90,45,45,45,90,18,6,18,45,10,30,30,10,30,30,30,30,30,30,30,
60,5,6,54,54,30,45,5,45,45,15,5,45,15,90,10,90,45,45,1,6,18,18,6,18,30,10,30,
10,10,30,30,5,15,15,18,15,15,30,3,3,9,6,18,18,10,15,5,15,1,9,1,9,6,5,1,3,3,3,
3,1,3,1],[1,30,16,30,15,10,1,20,45,30,90,5,48,10,15,45,15,90,30,6,30,30,10,10,
30,10,30,16,20,10,10,15,60,60,45,45,45,30,90,5,45,90,45,15,45,15,10,6,6,6,30,
30,30,30,30,10,30,10,30,10,30,5,5,10,10,20,15,16,10,15,15,15,30,60,60,30,30,6,
45,45,45,15,15,45,45,10,10,10,10,10,10,10,18,6,18,18,18,12,30,30,30,30,30,30,
10,15,5,15,15,5,15,30,10,30,10,30,15,60,15,15,30,15,15,15,6,6,6,45,10,10,10,
10,10,10,10,10,10,10,10,5,18,18,6,30,15,5,15,15,15,5,30,15,15,15,15,1,6,6,6,6,
6,12,10,10,10,10,10,10,10,5,5,5,18,15,15,3,1,3,6,6,6,10,5,5,5,1,3,1,3,6,5,1,1,
1,3,1,1,1,1],[1,6,18,90,45,10,1,20,3,90,90,6,3,90,45,45,90,45,90,30,6,60,10,
30,60,30,18,60,2,30,45,120,3,45,45,30,90,30,45,45,45,45,45,45,90,10,36,18,6,
36,18,30,60,60,30,10,30,30,30,30,5,6,10,20,1,1,30,30,45,15,90,15,60,60,30,30,
30,6,45,15,45,5,45,15,45,10,30,20,20,30,18,36,36,6,18,18,18,18,18,30,30,30,30,
10,30,30,30,15,1,10,30,15,30,60,15,15,15,15,30,15,45,15,30,18,6,12,12,18,15,
20,30,10,10,10,10,30,10,20,5,18,18,18,6,18,18,18,30,15,5,15,15,5,5,15,5,10,15,
15,1,6,6,6,18,6,18,6,12,12,10,10,10,10,10,10,10,10,15,18,15,5,6,3,6,6,6,6,6,6,
6,10,5,5,5,1,3,1,3,6,5,2,3,3,1,1,1,1],[1,6,16,150,15,10,1,20,3,90,90,5,120,10,
15,135,15,90,180,30,6,60,10,10,120,10,60,16,20,2,50,15,240,30,45,30,90,5,90,
90,90,15,45,15,90,180,10,36,6,6,36,6,30,60,60,10,60,30,10,30,30,10,60,5,5,10,
10,20,1,30,40,15,45,15,30,60,60,30,60,30,6,45,15,45,45,15,45,45,10,10,20,40,
10,20,18,36,36,6,18,36,12,30,30,30,30,30,10,30,30,5,30,10,5,30,10,60,10,30,15,
60,15,30,30,15,15,30,60,6,6,12,12,6,45,20,10,20,10,10,10,10,10,10,20,20,5,18,
6,18,30,15,15,5,5,15,15,30,15,15,15,15,1,6,6,6,12,12,12,12,10,10,10,10,10,10,
10,10,5,10,18,15,15,6,1,6,6,6,6,10,5,5,5,1,3,3,1,6,5,2,1,2,3,1,1,1,1],[1,78,
45,14,80,6,120,120,135,90,30,90,6,110,150,30,240,120,30,45,180,90,45,45,180,
40,18,6,18,150,90,30,90,30,30,30,6,60,120,24,90,5,90,45,45,80,40,6,18,18,36,
36,90,30,30,10,30,30,30,40,30,180,120,24,45,40,30,6,18,18,30,30,10,30,10,1,24,
6,10,30,10,18,30,30,6,3,6,10,5,4,3,1,3,6,5,4,3,1,1],[1,6,18,90,45,14,80,3,90,
90,6,3,90,45,45,90,45,90,30,6,60,4,10,90,120,30,240,3,45,45,30,90,30,45,45,45,
45,45,45,90,40,36,18,6,36,18,30,60,60,60,30,30,60,30,30,30,30,6,60,120,24,45,
15,45,5,45,15,45,40,40,40,18,36,36,6,18,18,18,18,18,30,30,30,30,20,10,30,30,
30,1,30,15,60,24,24,24,15,40,30,18,18,18,6,18,18,18,30,15,15,10,15,15,10,1,24,
6,20,10,10,10,18,15,5,6,3,6,6,6,10,5,4,3,1,3,6,5,4,3,1,1],[1,6,18,90,45,10,4,
80,3,90,90,6,3,90,45,45,90,45,90,30,6,60,10,30,60,30,60,4,60,240,3,45,45,30,
90,30,45,45,45,45,45,45,90,40,36,18,6,36,18,30,60,60,30,10,30,30,30,30,5,1,20,
60,60,60,120,24,45,15,45,5,45,15,45,40,40,40,18,36,36,6,18,18,18,18,18,30,30,
30,30,10,30,30,30,15,1,15,15,20,60,24,24,24,15,40,10,20,18,18,18,6,18,18,18,
30,15,5,15,15,5,15,10,1,6,24,10,10,10,20,18,15,5,6,3,6,6,6,10,5,4,3,1,3,6,5,4,
3,1,1],[1,18,8,90,15,4,1,8,9,90,90,1,24,30,15,45,15,90,30,1,12,20,60,8,40,6,
30,15,24,120,9,45,45,90,90,5,45,90,45,15,45,15,4,18,3,1,18,3,60,20,60,1,1,2,
30,3,8,30,15,15,15,30,120,30,30,4,1,8,45,45,45,15,15,45,45,20,4,20,9,18,18,1,
9,3,9,3,9,3,6,9,6,60,3,5,15,3,5,15,6,10,30,30,30,15,15,15,30,15,15,15,12,4,12,
3,1,8,6,6,3,24,24,45,20,20,20,1,9,9,9,18,18,1,9,9,9,9,3,9,3,4,15,5,15,15,15,5,
30,15,15,15,15,12,4,12,1,1,2,3,3,3,3,3,3,6,1,6,3,24,6,6,20,1,5,5,9,9,9,3,3,9,
9,4,4,4,15,15,12,3,1,3,3,1,3,6,2,6,3,3,3,3,3,3,3,3,6,6,5,5,5,9,4,4,4,1,3,1,3,
3,3,1,6,3,3,3,3,5,4,1,1,1,3,3,1,1,1,1],[1,63,84,28,63,252,84,36,9,28,84,63,36,
84,28,36,63,28,36,28,9,9,1,1],[1,63,1,28,56,63,63,84,36,9,28,28,56,63,36,84,
28,36,9,28,36,28,9,9,1,1],[1,63,84,28,63,252,84,36,9,28,28,56,63,36,84,28,36,
63,28,36,28,9,9,1,1],[1,63,84,28,63,252,84,36,9,28,28,56,63,36,84,28,36,63,28,
36,28,9,9,1,1],[1,36,42,108,9,8,32,1,16,64,126,324,108,2,18,36,108,36,27,162,
18,54,108,6,18,144,24,48,24,72,42,48,96,12,36,9,48,144,18,108,108,162,54,36,
108,108,108,108,36,6,54,108,54,54,9,108,36,54,108,18,9,54,9,36,108,108,16,8,
64,32,64,72,144,144,72,24,8,72,24,72,2,16,2,4,16,32,36,36,42,6,108,36,27,54,
18,18,144,144,36,36,6,18,24,48,108,54,27,108,54,18,54,54,54,108,108,18,1,54,
18,18,54,54,27,54,9,27,27,54,9,96,48,16,24,8,48,24,192,96,72,72,72,36,24,72,
24,72,6,12,6,18,36,48,6,12,6,18,12,12,36,48,36,36,9,36,36,36,36,36,36,36,18,
54,18,18,18,36,18,9,18,9,36,36,36,24,16,54,18,54,27,54,54,9,54,27,48,24,48,48,
8,8,16,24,24,24,24,24,2,16,16,32,24,72,18,36,36,18,6,2,18,6,18,36,18,36,18,6,
1,18,18,6,36,4,36,2,4,9,36,18,36,9,9,18,18,18,9,18,18,18,18,9,9,16,32,27,24,
24,24,24,8,24,8,24,48,24,24,12,2,12,6,6,48,48,24,18,18,18,6,18,6,18,18,9,18,6,
18,18,12,6,9,9,18,16,8,24,24,12,6,12,6,6,2,6,6,6,1,4,2,4,18,9,8,8,8,6,6,6,6,2,
6,6,6,1,12,6,8,1,3,6,2,1,1],[1,42,33,8,32,1,16,64,2,36,36,27,90,42,54,48,24,
42,48,96,96,32,33,192,36,6,9,36,18,27,27,108,6,54,54,18,16,8,64,32,64,24,8,24,
2,16,2,4,16,32,36,36,27,90,96,42,54,24,48,18,1,18,27,9,54,18,54,48,16,32,24,
96,96,32,64,24,12,6,36,48,6,12,9,36,18,27,27,108,6,54,54,18,24,24,24,48,16,9,
6,9,9,18,24,16,8,8,16,24,2,16,16,32,96,24,6,2,6,18,1,18,4,2,4,27,9,54,18,54,
24,16,32,9,24,8,12,6,48,24,24,24,6,9,6,6,6,2,12,9,9,18,16,8,6,2,6,1,4,2,4,24,
9,6,8,6,1,2,6,6,2,4,1,1,6,1,2,1],[1,42,9,8,32,1,16,64,2,36,36,27,18,216,6,18,
48,24,42,48,96,9,36,6,9,36,18,9,108,9,36,108,16,8,64,32,64,24,8,24,2,16,2,4,
16,32,36,36,27,18,72,6,18,24,48,18,1,18,9,54,9,54,48,16,24,96,24,12,6,36,48,6,
12,9,36,18,9,36,9,36,36,24,16,9,27,27,24,48,8,8,16,24,2,16,16,32,24,6,2,6,18,
1,18,4,2,4,9,18,9,18,16,27,24,8,12,6,48,24,6,9,6,9,9,16,8,6,2,6,1,4,2,4,9,8,6,
1,6,1,3,1,1],[1,27,27,81,3,6,1,6,12,40,80,81,243,27,54,54,9,18,27,81,27,54,
324,18,162,9,27,18,162,324,108,216,81,3,3,12,6,12,6,12,4,12,24,40,24,4,4,12,
96,24,48,81,54,162,162,81,27,27,27,54,27,81,162,27,18,18,18,18,36,3,27,27,3,
18,27,36,108,18,54,108,18,36,18,54,108,36,36,108,216,108,36,216,36,36,108,216,
81,81,27,3,1,6,6,12,4,8,4,8,16,8,12,24,12,24,12,24,54,27,9,54,54,27,18,54,9,
108,27,27,27,54,108,9,18,3,3,6,6,9,9,3,18,18,6,18,18,36,12,24,36,36,36,36,27,
27,27,1,4,8,4,8,8,16,9,9,18,9,18,3,9,1,18,18,3,3,1,12,12,24,3,9,4,3,1,3,1,2,4,
3,1,1,1],[1,27,54,3,6,1,6,12,40,80,27,27,81,18,27,18,27,54,18,54,18,54,108,
144,81,3,3,12,6,12,6,12,4,12,24,40,24,4,4,12,96,24,48,27,27,27,27,27,54,27,54,
81,54,18,18,36,3,18,27,18,18,36,18,6,18,36,54,18,36,36,144,36,36,12,24,27,81,
27,3,1,6,6,12,4,8,4,8,16,8,12,24,12,24,12,24,27,9,3,9,27,27,18,27,54,18,3,3,6,
18,6,18,18,6,12,36,12,24,12,24,12,24,12,24,27,9,27,1,4,8,4,8,8,16,9,3,3,6,9,1,
3,18,3,6,4,12,24,9,3,4,3,1,3,1,2,4,3,1,1,1],[1,27,54,3,6,1,6,12,40,80,27,81,
243,18,27,54,27,54,54,108,18,18,18,36,108,216,243,3,3,12,6,12,6,12,4,12,24,40,
24,4,4,12,96,24,48,27,81,81,27,27,54,27,81,162,54,18,18,36,3,18,27,18,54,18,
18,36,18,36,36,18,6,36,36,36,36,36,108,216,81,81,81,162,3,1,6,6,12,4,8,4,8,16,
8,12,24,12,24,12,24,27,9,9,27,27,27,54,27,18,18,3,3,6,18,6,18,18,6,36,12,12,
24,36,36,36,27,27,27,1,4,8,4,8,8,16,9,9,3,9,1,9,18,18,3,6,12,24,4,9,9,4,3,1,3,
1,2,4,3,3,6,1,1],[1,15,45,15,21,60,40,45,45,15,45,15,45,45,36,75,120,20,60,45,
15,60,120,60,20,45,15,45,15,45,45,45,30,60,40,36,45,60,45,15,45,15,45,45,15,
30,15,30,60,36,45,60,40,40,60,10,20,60,60,20,40,36,45,15,15,30,45,15,45,15,30,
45,45,15,15,15,15,10,36,60,10,10,10,15,15,60,45,15,15,20,10,20,6,6,36,15,15,
10,15,15,15,15,10,10,10,6,6,15,15,6,6,10,1,6,6,1,1,1],[1,60,15,20,20,1,40,40,
15,60,90,45,45,36,80,60,60,120,60,60,20,15,120,90,15,15,90,45,10,20,40,20,40,
36,60,15,15,30,15,60,30,90,45,45,60,36,45,80,20,40,10,20,60,60,60,20,40,36,30,
15,90,15,30,15,15,15,15,90,30,45,10,36,60,10,10,10,15,15,60,15,45,15,20,10,20,
6,6,36,10,30,15,15,15,15,10,10,10,6,6,15,15,6,6,10,1,6,6,1,1,1],[1,3,45,135,
20,20,1,40,40,135,15,15,135,45,135,135,36,60,60,60,180,45,60,180,1,45,360,360,
45,45,135,45,135,135,135,10,20,40,20,40,108,36,108,180,180,15,15,30,15,15,30,
45,45,45,45,45,36,135,30,60,10,30,20,60,120,60,20,60,120,108,45,45,15,45,45,
15,45,90,15,45,15,45,90,45,45,10,36,36,36,30,60,10,30,15,15,60,45,45,45,10,10,
10,6,6,36,30,15,15,15,15,15,15,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,45,
45,45,20,20,1,40,40,135,135,15,135,15,135,45,36,180,60,60,45,180,60,60,15,15,
120,120,135,45,135,45,135,45,135,10,20,40,20,40,36,180,15,15,30,15,15,30,45,
45,45,45,45,180,36,135,60,60,10,60,20,60,120,60,60,20,120,108,45,45,45,15,45,
45,15,90,15,45,15,45,90,45,45,10,36,30,60,10,30,15,15,60,45,45,45,10,20,20,6,
6,36,30,15,15,15,15,15,15,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,3,45,
135,21,60,40,135,15,15,135,45,135,135,36,60,60,1,60,45,225,60,540,360,45,45,
135,45,135,135,135,30,60,40,108,36,108,180,180,45,15,45,15,45,45,45,15,30,15,
30,36,135,30,20,20,60,10,90,60,180,120,108,45,45,15,15,45,45,45,45,45,15,45,
90,15,45,90,10,36,36,36,30,60,60,10,30,15,15,45,45,45,10,10,10,6,6,36,30,15,
15,15,15,15,15,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,90,45,21,60,40,15,
150,180,135,135,36,135,225,15,180,180,60,120,180,45,45,270,135,30,60,40,36,
225,45,15,45,15,45,45,15,30,15,30,180,36,135,180,30,60,60,180,20,120,108,45,
15,45,15,45,45,45,60,45,90,15,45,45,90,10,36,90,10,30,15,15,60,45,45,45,30,20,
6,6,36,15,30,15,15,15,15,15,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,3,45,
135,20,20,1,40,40,135,15,15,135,45,135,135,36,60,60,60,180,45,60,180,1,45,360,
360,45,45,135,45,135,135,135,10,20,40,20,40,108,36,108,180,180,15,15,30,15,15,
30,45,45,45,45,45,36,135,30,60,10,30,20,60,120,60,20,60,120,108,45,45,15,45,
45,15,45,90,15,45,15,45,90,45,45,10,36,36,36,30,60,10,30,15,15,60,45,45,45,10,
10,10,6,6,36,30,15,15,15,15,15,15,10,10,10,18,18,15,15,6,6,10,1,6,6,3,1,1],[1,
9,15,165,30,1,10,1,2,20,20,40,135,90,45,5,45,45,135,45,270,6,90,3,15,45,10,30,
15,30,30,60,10,30,90,30,30,3,55,30,6,90,60,180,60,180,60,360,135,45,135,45,
135,45,135,1,10,20,10,20,20,40,54,6,54,90,90,90,45,30,15,45,5,45,15,45,90,5,5,
10,10,10,20,45,15,45,15,45,45,90,90,30,90,180,30,90,30,90,180,6,6,12,135,30,
15,1,15,10,10,10,20,30,10,30,10,30,60,60,10,20,10,10,30,30,30,30,60,60,20,60,
60,120,54,18,18,45,90,45,15,45,15,45,45,45,15,15,15,15,45,30,30,30,45,45,45,
45,10,18,6,18,6,12,18,18,36,36,30,30,30,15,15,15,5,15,15,15,5,10,10,30,10,30,
60,30,30,5,10,10,20,10,30,30,60,30,30,30,30,60,54,6,45,45,45,10,10,10,10,10,
10,10,1,18,6,18,18,6,18,36,15,30,15,15,15,5,15,15,15,5,15,30,5,15,15,30,30,30,
6,6,6,5,10,10,10,10,10,10,10,9,3,3,18,18,15,15,15,1,1,2,6,6,6,5,5,5,10,9,3,3,
3,1,3,1,6,6,5,1,3,3,1,1,1,1],[1,39,45,135,11,20,1,22,40,135,405,5,45,45,135,
45,6,150,60,33,50,45,135,45,90,60,180,13,45,66,270,360,45,135,135,45,135,45,
135,10,11,40,20,40,54,6,54,135,150,270,180,135,45,5,45,15,45,5,10,5,10,10,20,
45,45,45,15,135,45,270,90,6,6,12,135,30,60,50,20,40,10,30,45,11,50,45,120,120,
60,20,60,120,54,18,18,45,135,45,45,15,45,15,45,15,15,45,30,15,15,30,30,45,45,
45,45,10,18,6,18,6,12,18,18,36,36,60,30,30,60,45,50,90,10,120,5,5,10,15,45,45,
15,15,5,10,10,20,60,54,6,45,45,45,20,10,20,10,10,1,18,6,18,18,6,18,36,30,15,
15,45,15,5,15,5,15,30,15,15,15,5,15,30,30,6,6,6,20,10,20,10,10,5,3,3,9,18,18,
15,15,15,1,1,2,6,6,6,10,5,5,5,9,3,3,1,3,1,3,6,6,5,1,3,3,1,1,1,1],[1,18,45,14,
80,1,28,160,6,45,90,30,6,10,90,30,18,180,45,30,45,40,14,160,80,160,18,6,18,30,
30,30,6,60,6,12,60,120,45,90,30,120,240,24,6,48,5,10,40,80,90,30,6,18,18,10,
30,30,60,45,40,24,18,6,48,18,30,30,30,60,30,6,60,60,120,120,6,24,10,5,20,10,
20,40,1,6,6,12,18,18,10,10,20,30,24,30,3,6,6,12,10,5,20,10,20,1,4,8,6,10,1,3,
6,5,4,1,1,2,1],[1,105,35,140,35,105,315,126,210,105,420,120,315,70,126,105,35,
105,35,70,105,70,126,120,105,105,210,105,70,35,42,21,35,21,30,7,1],[1,16,78,
120,45,14,80,78,360,180,6,18,120,120,120,135,270,90,90,180,30,90,6,110,80,14,
110,150,150,30,30,240,240,18,120,120,270,90,40,120,180,180,180,120,30,90,120,
90,90,45,180,180,90,180,90,45,90,45,180,180,180,40,36,18,6,36,18,150,110,300,
90,90,240,150,30,150,90,90,30,90,90,90,30,90,30,30,30,30,60,6,60,120,24,120,
90,45,180,90,30,90,90,90,180,180,90,5,90,90,30,90,90,45,90,45,45,45,90,45,40,
80,80,40,40,18,36,36,6,18,18,18,18,18,6,36,18,36,90,30,30,150,90,90,30,90,90,
10,30,30,30,40,20,30,90,30,30,30,90,90,30,30,30,10,30,30,30,30,30,30,30,30,30,
30,30,6,40,30,30,180,60,120,24,24,24,90,30,90,45,90,90,45,90,45,80,40,40,80,
40,30,18,18,18,36,36,6,18,18,18,18,18,18,18,30,90,30,30,30,30,30,30,10,30,30,
30,40,60,60,30,30,30,30,30,30,10,30,30,30,10,1,24,24,24,6,45,40,10,30,10,30,
30,10,10,18,18,18,18,6,18,18,30,30,30,30,10,30,30,30,30,1,6,6,3,3,24,6,6,6,10,
10,10,30,10,10,10,5,18,4,30,6,3,3,6,3,1,3,3,3,6,6,6,10,10,5,4,4,4,3,1,3,3,3,3,
3,6,5,4,1,3,1,1,1,1],[1,36,38,180,45,10,1,20,108,420,360,6,48,40,180,40,75,
360,90,180,360,30,30,6,90,30,30,50,150,30,90,38,100,12,60,45,60,300,48,120,
120,360,180,60,120,180,360,180,40,30,180,120,180,180,15,180,60,180,180,30,45,
180,15,60,360,180,10,36,18,6,36,18,90,90,180,150,150,150,90,30,50,150,10,90,
10,30,10,90,30,90,10,30,180,5,6,10,20,40,20,40,20,36,16,140,60,75,120,90,60,
300,180,180,60,120,120,30,30,6,120,180,45,180,90,60,180,90,90,180,180,30,5,
180,30,60,90,180,45,90,15,45,45,90,15,30,50,10,30,50,30,30,18,36,36,6,18,18,
18,18,18,18,12,54,12,30,30,30,90,30,90,30,150,90,30,90,30,30,30,30,30,30,90,
30,10,30,10,10,30,10,90,30,10,10,30,30,30,10,30,30,30,15,10,15,45,40,20,16,20,
30,60,30,30,90,60,60,40,40,15,60,60,60,60,60,40,40,60,60,30,60,60,120,60,60,
60,120,60,45,60,15,60,120,60,18,6,12,12,18,90,60,90,45,90,90,15,90,45,30,30,
60,50,50,10,10,50,30,30,10,50,10,30,30,30,10,10,30,50,60,5,18,18,18,36,36,6,
18,18,18,54,6,54,6,30,30,30,30,30,30,30,15,30,30,30,30,30,30,30,30,10,30,45,5,
5,45,5,15,40,30,60,60,60,20,5,60,30,20,90,10,90,15,60,30,60,15,15,30,30,30,15,
30,60,30,60,15,15,1,6,6,6,18,6,18,6,12,6,12,18,12,12,45,10,30,10,10,30,10,10,
50,30,10,30,10,10,10,10,10,10,10,10,10,10,10,10,10,30,10,10,10,10,30,10,10,10,
10,10,10,5,10,15,15,18,18,18,6,18,18,18,30,15,15,15,15,15,5,15,30,15,30,20,30,
30,30,15,15,30,3,2,6,3,9,6,6,6,6,6,6,6,18,6,18,6,12,12,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,10,5,10,15,5,5,15,5,5,18,1,15,15,6,9,1,6,3,1,9,1,3,6,
6,6,6,6,6,6,10,5,5,5,5,5,5,5,2,1,2,3,3,3,3,3,1,3,3,3,6,5,2,1,2,3,1,1,3,1,1,3,
1,1,1,1,1,1,1,1],[1,45,21,60,1,42,120,40,80,15,15,45,36,60,45,45,90,60,45,30,
21,120,60,120,60,120,40,120,240,40,240,40,40,36,15,15,45,15,30,15,30,30,60,15,
15,30,30,30,60,45,90,36,36,72,60,60,120,10,45,60,60,120,45,15,45,90,15,30,10,
60,60,120,40,80,36,36,72,10,15,15,30,15,45,15,30,15,30,30,60,15,30,30,60,36,
60,10,10,20,60,6,6,15,45,15,15,30,15,30,10,36,10,10,20,15,15,10,6,6,12,6,6,12,
15,15,10,1,6,6,1,1,2,1],[1,36,42,108,33,8,32,1,16,64,126,324,108,2,18,36,108,
36,27,162,90,270,108,42,54,144,24,48,24,72,42,48,96,96,32,12,36,33,48,144,192,
18,108,108,162,270,36,108,108,108,108,36,6,54,108,54,54,9,108,36,54,108,18,27,
162,27,108,324,108,6,54,54,108,18,16,8,64,32,64,72,144,144,72,24,8,72,24,72,2,
16,2,4,16,32,36,36,42,6,108,36,27,54,90,90,144,144,96,36,36,42,54,24,48,108,
54,27,108,54,18,162,54,162,108,108,18,1,54,18,18,54,54,27,54,27,81,27,54,9,54,
18,54,54,108,108,96,48,16,32,24,8,48,24,192,96,96,32,64,72,72,72,36,24,72,24,
72,6,12,6,18,36,48,6,12,6,18,12,12,36,48,36,36,9,36,36,36,36,36,36,36,18,54,
90,18,18,36,18,27,54,27,108,108,36,6,54,54,36,18,24,24,24,48,16,54,18,54,81,
54,54,9,54,6,27,54,9,9,27,81,54,18,48,24,48,48,16,48,8,8,16,24,24,24,24,24,2,
16,16,32,96,24,72,18,36,36,18,6,2,18,6,18,36,18,36,18,6,1,18,18,6,36,4,36,2,4,
9,36,18,36,27,27,18,18,18,9,18,54,54,18,9,9,54,18,54,18,36,36,24,16,32,32,27,
27,27,9,27,27,27,48,24,24,24,24,8,24,8,24,48,24,24,12,2,12,6,6,48,48,24,24,24,
18,18,18,6,18,6,18,18,9,18,6,18,18,6,12,6,6,2,12,27,9,9,9,9,27,18,18,18,18,16,
16,16,8,27,24,24,12,6,12,6,6,2,6,6,6,1,4,2,4,24,18,9,9,9,6,9,9,9,9,16,8,8,8,6,
6,6,6,2,6,6,6,1,2,12,6,6,2,4,9,8,1,3,6,1,3,6,2,1,2,3,1,1,1,1],[1,27,27,135,54,
3,6,1,6,12,40,80,81,243,162,27,81,27,81,243,486,54,54,9,18,27,81,18,54,27,54,
54,432,18,18,162,54,18,9,45,54,18,162,36,324,108,216,144,432,81,81,243,243,
243,243,81,3,3,12,6,12,6,12,4,12,24,40,24,4,4,12,96,24,48,81,54,162,162,162,
54,81,54,27,27,81,27,81,162,27,27,54,27,54,27,81,27,81,81,162,162,54,162,648,
54,162,54,162,324,243,27,18,18,18,18,36,3,18,27,18,27,3,18,27,18,18,36,108,18,
36,54,18,54,6,18,108,36,18,36,36,18,6,18,54,54,18,36,108,36,36,36,36,108,216,
144,72,144,216,36,36,36,36,36,36,216,12,432,24,81,81,81,81,162,81,81,27,81,27,
81,81,81,27,162,27,81,162,81,81,3,1,6,6,12,4,8,4,8,16,8,12,24,12,24,12,24,54,
27,54,9,54,54,54,18,27,18,54,9,108,3,9,9,27,54,27,27,27,27,27,27,18,54,18,54,
108,54,54,27,18,54,54,108,108,54,54,18,54,108,216,108,108,108,81,81,81,9,18,3,
3,6,18,6,6,9,9,18,3,6,18,18,6,18,18,18,18,6,6,36,36,12,12,12,36,24,36,12,12,
24,24,72,12,24,36,36,12,24,36,36,12,24,27,27,27,9,27,54,27,27,27,27,9,27,27,
27,27,27,27,27,54,1,4,8,4,8,8,16,9,9,18,18,9,18,3,3,6,9,3,3,9,9,9,1,3,9,18,18,
18,18,18,18,18,6,18,18,18,18,36,36,36,36,36,36,27,27,27,3,3,6,1,6,12,12,4,24,
12,4,12,24,24,9,3,9,9,9,9,9,9,3,9,3,18,9,9,9,18,4,3,3,3,1,3,3,3,1,2,6,6,12,12,
9,9,4,4,4,3,3,3,3,1,3,3,3,1,3,6,1,4,3,3,1,1,1,1],[1,42,49,112,1,224,14,28,84,
63,126,70,126,42,112,112,112,49,224,64,84,42,7,84,42,63,21,168,8,84,126,14,
112,56,14,112,28,28,56,84,63,126,112,70,126,112,224,42,7,42,21,21,84,84,42,
112,112,112,64,64,128,84,56,42,28,28,28,7,84,56,42,63,21,168,8,84,126,14,56,
56,112,112,56,56,56,21,28,7,21,42,56,28,112,112,42,7,42,7,14,28,21,21,84,84,
42,56,8,64,21,56,28,28,28,56,56,112,56,21,28,7,7,7,14,7,21,7,14,42,7,28,56,8,
8,8,8,8,8,21,7,7,7,7,7,7,8,8,8,7,7,1,1],[1,18,90,150,45,21,60,40,90,450,180,
15,45,150,180,180,135,270,135,135,270,36,135,180,21,135,225,225,15,15,60,120,
180,20,540,180,60,360,120,45,150,180,270,135,60,180,180,270,270,180,45,135,
180,135,135,45,270,270,135,270,135,30,60,40,108,36,108,225,135,450,45,45,180,
540,60,225,15,225,45,45,15,45,45,45,15,45,45,45,45,45,90,15,30,15,30,60,180,
360,180,180,36,180,135,45,270,135,45,135,270,270,135,135,90,60,60,180,30,20,
90,60,60,60,180,180,20,20,40,120,120,108,36,108,45,15,15,30,45,225,45,45,45,
45,45,15,45,45,45,60,30,45,180,15,45,15,45,45,45,45,15,45,45,15,45,45,45,45,
45,45,45,45,45,45,45,15,60,45,45,90,90,15,15,45,45,45,90,90,10,36,36,36,135,
180,90,60,30,180,60,180,20,90,10,10,30,30,60,15,15,60,60,60,60,120,108,45,45,
45,15,45,45,15,45,90,45,45,45,15,45,45,45,60,90,90,45,45,45,45,45,45,45,45,45,
45,30,30,20,10,20,6,6,36,36,36,15,90,30,30,15,10,30,15,15,60,15,30,30,15,15,
15,15,15,15,15,15,15,45,45,45,30,30,20,10,10,10,10,10,20,18,6,18,6,18,18,36,
15,15,15,30,15,15,15,15,15,15,15,15,15,15,15,6,6,10,10,10,10,10,10,10,18,18,
15,15,1,6,6,6,6,6,6,10,3,1,3,6,6,1,3,1,1,1,1],[1,48,60,180,15,20,20,1,40,40,
180,540,180,15,135,60,270,90,45,270,45,135,270,36,240,60,60,80,60,180,60,120,
180,60,60,180,60,20,16,60,15,120,360,120,360,120,135,180,270,270,135,90,270,
180,270,270,90,15,135,270,135,135,15,270,90,135,270,45,10,20,40,20,40,108,36,
108,180,240,360,180,180,60,180,60,15,15,30,15,60,30,90,60,45,180,90,45,90,45,
45,360,180,180,60,180,60,90,360,36,270,135,45,270,135,45,135,270,270,45,135,
30,60,80,20,40,10,60,30,20,60,20,80,60,120,120,60,60,20,20,60,60,20,120,120,
40,108,108,36,45,180,90,45,180,45,30,15,45,90,45,30,15,45,90,30,90,15,45,15,
45,15,60,90,15,60,90,90,90,30,90,90,90,90,90,45,90,45,45,45,90,45,10,36,36,36,
135,60,30,60,30,60,60,80,120,10,120,10,30,10,30,60,60,60,15,15,60,60,60,60,60,
20,60,120,108,45,45,45,45,90,90,45,45,45,15,90,45,90,45,15,90,15,45,15,90,45,
90,90,45,45,20,10,20,20,10,10,20,6,6,36,36,36,30,30,30,30,30,60,30,10,30,15,
30,15,15,15,15,15,15,15,15,15,60,45,45,45,20,10,20,10,10,10,10,10,10,20,20,18,
18,6,18,6,18,36,30,30,15,30,15,15,15,15,15,15,15,15,15,6,6,10,10,10,10,10,10,
10,18,18,15,15,1,6,6,6,6,6,6,10,3,3,1,6,6,1,3,1,1,1,1],[1,30,18,90,45,14,80,1,
28,160,45,90,270,6,45,90,45,135,90,135,270,30,6,150,240,30,10,90,90,30,90,18,
180,10,30,45,60,180,45,135,135,30,270,30,135,135,135,135,45,135,270,40,14,160,
80,160,18,6,18,180,30,90,90,90,90,30,90,30,90,180,30,90,180,6,60,6,12,60,120,
15,15,30,30,45,45,90,45,180,180,90,90,30,120,240,24,6,48,135,45,135,5,135,45,
135,120,120,10,40,80,90,10,50,30,30,30,240,80,6,18,18,18,54,180,90,30,90,30,
60,30,90,10,90,15,30,45,15,10,30,45,30,60,90,60,45,45,45,45,90,45,45,45,90,40,
24,18,6,48,18,45,120,10,30,30,30,30,60,30,60,30,60,30,30,30,30,30,60,6,60,60,
120,120,6,54,54,24,45,30,45,10,45,45,45,15,5,45,15,90,20,90,10,20,45,45,40,40,
40,1,72,6,6,12,18,18,6,18,30,30,30,10,30,10,20,60,10,60,10,120,30,30,5,10,30,
15,60,20,18,24,45,15,15,30,40,30,3,3,9,6,6,12,18,18,30,10,15,15,10,15,15,5,20,
10,20,1,4,8,24,6,10,10,20,10,9,1,9,18,6,15,5,15,30,12,1,3,3,6,10,5,3,4,3,1,3,
1,2,6,5,4,3,1,1,1],[1,78,45,14,80,1,28,160,6,120,120,135,90,30,90,6,110,150,
30,78,300,240,45,120,30,45,180,90,45,45,180,40,14,160,80,160,18,6,18,150,90,
30,90,30,30,30,6,60,6,12,60,120,120,60,120,60,135,90,30,90,120,240,24,6,48,90,
5,90,45,45,110,80,160,40,150,30,240,6,18,18,36,36,90,30,30,10,30,30,30,40,30,
120,60,180,30,60,45,180,90,45,45,180,120,40,24,18,6,48,18,45,150,90,40,30,30,
60,90,30,30,30,6,60,60,120,120,6,18,18,24,30,30,10,30,90,5,90,20,10,20,45,45,
80,40,1,24,6,6,12,18,18,36,36,90,30,30,10,30,10,20,30,10,30,30,40,20,30,180,
120,18,24,30,45,30,40,30,6,3,6,6,12,18,18,30,10,30,10,30,5,20,10,20,1,4,8,24,
6,10,30,10,3,1,3,6,18,30,5,30,6,3,4,6,10,5,3,4,3,1,3,1,2,6,5,4,3,1,1,1],[1,18,
18,270,45,14,80,1,28,160,9,270,270,6,9,270,45,135,90,135,270,30,6,180,12,10,
90,360,30,18,180,720,6,90,45,24,720,1440,9,135,135,90,270,30,135,135,135,135,
45,135,270,40,14,160,80,160,108,18,6,108,18,90,180,180,180,30,30,180,90,90,30,
90,6,60,6,12,60,120,3,3,90,90,45,45,90,45,360,360,180,180,90,90,30,120,240,24,
6,48,135,45,135,5,135,45,135,120,10,40,80,120,90,4,60,120,30,240,480,240,480,
54,108,108,6,54,18,54,18,54,90,90,90,90,60,10,90,90,90,3,30,45,180,3,30,30,45,
6,60,90,120,180,360,45,45,45,45,90,45,45,45,90,40,72,24,72,18,6,48,36,36,18,
144,144,45,120,60,30,240,30,30,60,60,30,60,30,30,30,30,60,6,60,60,120,120,54,
54,54,6,54,54,54,24,90,45,45,10,45,45,45,15,5,45,15,90,20,90,10,20,45,45,40,
40,40,1,72,6,6,12,18,18,18,18,18,18,36,144,36,60,30,10,30,10,20,30,30,20,30,
30,60,60,30,30,1,30,30,15,120,60,60,120,54,24,24,24,45,15,15,30,40,30,18,3,18,
6,18,18,6,18,36,12,36,18,18,18,18,30,30,60,15,15,10,15,15,5,20,10,20,1,4,8,24,
6,10,20,10,10,9,1,9,18,18,36,15,5,15,30,6,3,12,24,6,6,6,10,5,9,4,3,1,3,1,2,6,
5,4,3,3,6,1,1],[1,63,84,1,168,28,56,63,252,63,504,84,36,9,84,28,168,28,28,28,
84,168,63,63,126,36,252,84,84,84,84,28,36,36,72,9,63,126,28,56,28,84,84,84,63,
36,36,72,84,28,28,28,28,9,36,63,28,36,28,9,9,9,9,1,9,1,1,1,1,1],[1,21,105,105,
35,140,105,315,35,105,105,315,315,126,210,35,210,105,105,420,420,140,120,105,
105,315,105,315,315,315,70,126,126,126,105,210,210,105,105,35,105,105,105,35,
70,105,420,120,315,140,70,140,126,126,126,120,105,105,105,105,105,35,105,105,
105,35,105,210,105,105,70,70,70,35,126,120,105,105,105,42,21,70,35,35,35,42,
21,21,21,35,30,21,7,7,1,1],[1,126,105,35,140,35,210,420,315,315,126,245,315,
105,420,420,140,120,420,105,105,630,315,70,126,126,126,315,315,35,105,105,105,
105,35,70,105,420,120,315,140,70,140,126,252,120,105,105,105,35,105,105,105,
140,105,210,105,105,105,70,70,70,35,126,120,105,105,105,42,21,70,35,35,35,42,
42,21,35,30,21,7,7,1,1],[1,1,105,105,35,140,105,35,105,105,315,315,315,126,35,
140,210,105,210,105,420,420,120,35,105,315,315,315,315,315,70,126,126,126,210,
105,420,105,210,35,105,105,105,105,35,70,105,120,315,70,70,70,126,126,126,120,
105,35,105,35,70,105,105,105,105,105,105,105,210,210,105,105,70,70,70,35,126,
120,105,105,210,105,42,21,70,35,35,35,42,21,21,21,35,30,21,30,7,7,1,1],[1,45,
45,45,21,60,1,42,120,40,80,135,135,15,135,15,135,45,36,225,360,60,60,45,45,45,
90,180,360,60,60,15,15,120,120,135,45,135,45,135,45,135,30,21,120,60,120,60,
120,40,120,240,40,240,40,40,36,135,180,135,15,135,15,135,45,15,30,15,30,30,60,
15,15,30,30,30,60,45,90,45,45,45,45,180,36,36,72,135,180,120,120,60,60,120,10,
60,45,20,75,15,240,180,60,60,120,60,120,120,60,20,120,120,240,120,120,120,108,
135,45,45,90,135,45,135,45,90,45,135,45,15,45,90,45,15,90,15,45,15,45,90,45,
45,30,10,60,60,120,40,80,36,36,72,180,30,60,10,30,15,15,30,45,45,45,15,45,45,
15,30,180,15,30,30,60,15,30,30,60,60,36,135,45,45,45,60,60,10,10,20,60,40,20,
60,120,40,60,60,20,120,40,6,6,108,36,45,45,30,45,15,45,15,45,90,15,45,45,45,
15,45,90,15,30,15,15,30,15,30,15,15,30,10,36,30,60,10,10,20,30,10,10,15,15,60,
18,18,45,45,45,15,15,10,20,20,6,6,12,6,6,12,36,30,10,15,15,15,15,15,15,10,10,
10,1,18,6,18,6,15,15,6,6,10,3,1,1,2,6,6,3,1,1,1],[1,9,45,405,21,60,1,42,120,
40,80,405,15,15,405,45,405,405,36,180,180,3,60,45,675,45,90,60,1620,3,135,6,
1350,3240,1080,2160,135,135,405,45,405,405,405,30,21,120,60,120,60,120,40,120,
240,40,240,40,40,324,36,324,540,540,135,15,135,15,135,45,135,15,30,15,30,30,
60,15,15,30,30,30,60,45,90,135,135,135,135,270,270,270,270,36,36,72,405,90,60,
60,60,60,120,10,270,45,1,60,225,120,1080,60,540,1080,60,120,60,540,1080,360,
120,1080,2160,360,2160,360,360,324,135,135,45,45,135,45,135,135,135,15,135,45,
90,270,45,135,270,90,270,540,15,135,45,135,270,270,90,270,540,135,135,270,270,
30,10,60,60,120,40,80,108,36,108,36,72,108,108,216,216,90,180,180,180,360,10,
90,15,15,30,45,45,15,45,45,45,15,30,15,30,30,60,15,30,30,60,180,360,36,135,
135,135,135,270,30,60,10,10,20,20,30,90,30,60,180,20,60,180,360,120,240,6,6,
108,108,216,90,45,45,15,45,15,45,45,90,15,45,45,45,15,45,90,15,30,45,45,90,90,
90,180,15,30,45,45,90,90,90,180,10,36,36,36,30,60,10,10,20,30,30,30,60,60,15,
15,60,54,54,45,45,45,45,90,45,90,10,10,10,6,6,12,6,6,12,36,30,30,60,15,15,15,
15,15,15,10,10,10,1,18,18,36,18,18,36,15,15,6,6,10,9,1,1,2,6,6,3,3,6,1,1],[1,
90,45,21,60,1,42,120,40,80,15,150,180,135,135,36,135,225,15,90,450,180,180,60,
45,360,120,180,45,45,270,135,30,21,120,60,120,60,120,40,120,240,40,240,40,40,
36,225,45,15,45,15,45,45,15,30,15,30,30,60,15,150,30,30,30,60,180,90,135,135,
180,36,36,72,135,135,180,360,30,60,225,15,60,120,180,20,180,360,180,60,120,
120,120,120,120,108,45,15,45,15,45,45,45,60,45,180,90,90,45,90,15,45,45,45,
270,90,90,135,30,10,60,60,120,40,80,36,36,72,225,45,90,10,30,15,15,30,45,15,
45,45,15,30,60,15,30,30,60,15,30,30,60,180,36,45,45,135,45,180,30,30,60,60,20,
60,180,20,40,120,6,6,36,108,45,15,45,15,30,15,45,30,15,30,15,15,45,45,15,15,
60,30,45,90,15,30,45,45,90,10,36,90,10,10,20,30,10,10,15,15,60,18,18,45,15,15,
45,45,30,20,6,6,12,6,6,12,36,15,30,15,10,15,15,15,15,10,10,10,1,18,6,18,6,15,
15,6,6,10,3,1,1,2,6,6,3,1,1,1],[1,105,35,140,1,70,280,35,105,315,126,210,105,
105,210,420,120,315,70,35,280,140,280,126,105,35,105,35,70,35,70,70,140,105,
105,210,315,126,210,70,105,420,126,120,120,240,105,105,315,210,105,70,126,105,
70,35,35,70,105,35,70,70,140,105,70,42,21,126,120,105,35,105,210,105,70,35,21,
30,42,21,35,7,21,30,7,1,1],[1,48,78,360,45,14,80,1,28,160,234,1080,540,6,54,
120,360,120,135,810,90,270,540,30,90,6,330,240,42,110,150,450,30,90,78,300,
240,720,16,120,45,84,900,1440,54,360,360,810,270,120,360,540,540,540,120,30,
270,360,270,270,45,540,180,270,540,90,45,270,45,180,540,540,40,14,160,80,160,
108,18,6,108,18,450,330,900,270,270,720,450,90,150,90,270,30,270,90,270,30,
270,30,90,30,90,180,6,60,6,12,60,120,120,60,120,60,78,18,360,120,135,270,90,
90,900,540,540,180,180,180,30,90,120,240,24,6,48,360,270,135,540,270,90,270,
270,270,540,540,90,5,270,90,90,270,270,135,270,45,135,135,270,45,120,240,110,
80,160,40,120,150,14,110,150,30,30,480,480,240,80,240,480,54,108,108,6,54,18,
54,18,54,18,36,54,36,270,90,90,450,270,270,90,270,270,30,90,90,90,120,60,90,
270,90,90,90,90,270,30,30,90,10,90,90,30,30,90,90,90,30,90,90,90,18,40,30,90,
120,60,180,180,18,40,30,90,36,60,180,180,180,360,120,120,45,180,180,180,180,
180,120,120,180,180,90,180,180,270,90,90,90,180,90,45,90,45,180,180,180,120,
40,72,24,72,18,6,48,36,36,18,144,144,270,90,270,135,270,270,45,270,135,240,
120,120,240,150,110,300,90,90,40,480,30,30,60,90,150,150,90,90,90,30,90,30,30,
30,30,30,90,60,6,60,60,120,240,120,54,54,54,108,108,6,54,54,54,54,18,54,18,24,
90,270,90,90,90,90,90,90,30,90,90,90,120,180,180,90,90,30,90,90,30,10,90,30,
90,120,90,180,180,90,30,5,90,90,30,180,20,180,10,20,45,180,90,180,45,45,90,90,
90,45,90,90,90,90,45,45,80,40,80,40,40,1,72,24,72,6,6,12,18,18,18,18,18,18,36,
6,36,18,144,36,36,135,120,30,90,90,150,90,30,90,30,30,90,90,10,30,30,30,10,20,
30,90,10,30,30,90,10,30,30,180,60,90,90,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,40,20,6,40,30,30,180,60,180,20,60,120,120,54,54,54,18,18,54,54,24,24,
24,90,90,90,90,30,90,30,90,90,45,90,30,90,90,60,30,45,45,90,80,40,80,40,40,30,
3,6,18,3,9,72,18,6,18,18,6,18,36,12,36,18,18,18,18,18,18,18,18,36,36,30,30,30,
90,30,90,30,30,30,30,30,30,10,30,30,30,10,30,60,30,30,30,30,40,30,60,60,30,30,
10,30,30,30,5,20,60,10,20,54,1,4,8,24,24,24,6,90,45,40,10,30,30,30,10,10,10,
18,9,3,18,9,1,9,3,9,18,6,18,18,18,6,36,18,18,18,18,30,30,30,30,30,30,10,30,30,
30,5,60,30,12,6,1,6,3,3,4,12,24,24,6,6,6,10,10,10,30,10,10,10,5,9,3,9,3,9,9,9,
18,18,4,15,30,12,6,3,6,3,3,1,3,3,3,1,2,6,6,6,10,10,5,9,4,4,4,3,3,3,3,1,3,3,3,
1,3,6,6,5,4,1,3,3,1,1,1,1],[1,22,126,210,105,35,140,126,630,420,35,105,210,
420,420,315,630,315,315,630,126,245,140,35,245,315,315,105,105,420,420,140,
420,420,140,120,105,210,420,630,315,140,420,420,630,630,420,105,315,420,315,
315,105,630,630,315,630,315,70,252,126,126,252,126,315,245,630,315,315,420,
420,140,315,105,315,315,315,35,105,105,105,105,315,105,105,105,105,210,35,70,
105,420,420,420,420,120,120,120,420,315,105,630,315,105,315,630,630,315,315,
70,140,140,70,140,70,140,126,252,252,126,126,126,252,126,120,105,105,105,105,
315,105,315,105,315,315,35,105,105,105,140,70,105,420,35,105,105,105,105,105,
105,105,105,105,35,105,105,105,105,105,105,105,105,105,105,105,35,140,105,105,
210,210,105,105,105,105,105,120,315,140,70,140,70,140,70,70,70,70,70,140,35,
126,252,252,126,126,120,120,120,105,105,105,105,105,105,105,105,105,105,105,
35,105,105,105,140,210,210,105,105,105,105,105,105,105,105,105,105,42,21,70,
70,70,35,70,70,35,70,70,35,35,35,35,35,126,120,105,105,105,42,42,42,21,42,42,
21,21,70,35,35,35,35,35,35,35,30,42,42,21,21,42,21,35,30,7,21,7,7,7,7,1,1,1,1,
1],[1,54,90,450,45,21,60,1,42,120,40,80,270,1350,540,15,135,150,540,180,135,
810,135,405,810,36,405,540,63,135,225,675,15,45,90,450,180,360,180,60,1620,
180,60,18,150,45,126,1350,120,3240,360,1080,120,2160,135,450,540,810,405,180,
540,540,810,810,180,45,405,540,405,405,45,810,270,405,810,135,30,21,120,60,
120,60,120,40,120,240,40,240,40,40,324,36,324,675,405,1350,135,135,540,1620,
180,675,45,225,45,135,15,135,45,135,15,135,45,135,45,135,270,15,30,15,30,30,
60,15,150,30,30,30,60,180,90,90,45,450,180,135,270,135,135,1350,270,270,270,
180,540,1080,180,540,180,270,1080,36,36,72,540,405,135,810,405,135,405,810,
810,135,405,270,180,180,135,180,360,30,60,270,60,225,21,135,225,15,15,360,
1080,60,120,180,180,540,20,60,1080,120,180,360,120,60,20,180,540,180,60,120,
1080,120,360,120,360,1080,2160,120,360,120,2160,120,120,360,120,360,120,324,
108,108,135,45,45,90,135,675,135,135,135,135,135,45,135,135,135,180,90,135,
540,45,135,45,135,135,45,135,15,45,135,15,135,135,45,45,135,135,135,45,135,
135,135,45,60,45,135,180,90,90,270,45,60,45,135,90,90,270,90,270,540,15,45,45,
135,45,150,180,45,180,270,270,90,90,270,270,90,90,270,540,180,180,270,270,135,
270,270,270,135,135,135,270,135,30,10,60,60,120,40,80,108,36,108,36,72,108,
108,216,216,405,540,270,180,90,540,180,540,60,225,135,450,45,45,90,1080,10,30,
30,90,180,15,15,30,45,225,225,45,45,45,15,45,45,45,45,45,15,30,15,45,90,60,
180,360,180,180,15,30,30,60,15,30,30,60,60,540,180,1080,360,180,180,60,180,
360,360,360,360,324,36,135,135,135,45,135,135,45,135,270,135,135,135,45,135,
135,135,180,270,270,135,135,135,135,45,135,135,45,180,135,270,270,135,45,270,
45,135,45,270,135,270,270,135,135,90,180,30,30,60,60,60,20,90,90,60,30,20,180,
180,60,60,60,180,180,20,20,360,120,40,40,120,120,240,6,6,108,36,108,108,36,
108,216,45,270,90,90,45,30,90,45,45,180,45,225,45,15,45,45,45,15,30,45,45,15,
45,45,45,90,30,15,30,15,45,15,45,15,45,15,45,45,90,90,45,45,45,45,45,15,45,45,
15,45,45,45,45,45,45,45,45,15,45,15,45,90,90,60,30,15,60,45,45,90,90,90,30,90,
180,15,30,15,15,45,45,45,45,90,90,30,90,90,180,180,10,36,36,36,135,135,135,
135,90,90,60,180,90,180,10,10,20,30,30,10,90,30,30,10,10,30,180,60,60,60,60,
15,15,60,180,20,60,60,60,60,120,120,54,18,18,18,18,54,108,108,45,45,45,90,45,
45,45,45,45,45,45,45,45,45,15,45,45,45,15,45,90,15,45,45,45,15,45,90,45,45,45,
45,60,45,90,90,45,45,90,15,45,45,90,45,45,45,45,90,30,30,20,10,20,6,6,12,6,6,
12,36,36,36,30,30,30,30,30,15,90,30,30,15,10,30,10,60,30,30,30,15,15,15,15,15,
15,15,15,15,15,15,15,60,54,54,45,45,45,45,45,10,30,10,10,30,10,10,20,20,1,18,
18,18,6,18,6,36,18,18,6,18,6,18,36,36,30,15,15,15,30,15,15,15,15,15,15,15,15,
15,15,15,6,6,10,10,10,10,10,10,10,9,3,3,18,18,18,18,15,15,1,1,2,6,6,6,6,6,6,
10,9,3,3,3,1,3,1,6,6,6,1,3,3,1,1,1,1],[1,63,105,315,35,140,1,70,280,315,945,
35,315,105,945,315,126,630,105,210,105,315,105,210,1260,420,420,21,105,210,
630,840,120,315,315,945,315,945,315,945,70,35,280,140,280,378,126,378,315,630,
630,315,105,35,315,105,315,35,70,35,70,70,140,105,105,210,315,105,105,315,315,
630,630,1260,360,126,945,420,210,70,420,105,35,210,105,840,420,420,140,840,
378,378,126,120,120,240,315,315,315,315,315,105,315,105,315,105,105,315,210,
105,105,210,210,105,315,105,315,630,315,315,70,126,126,126,210,105,210,210,70,
210,35,35,70,105,105,105,105,105,35,70,70,140,105,420,378,360,120,315,315,315,
315,70,140,140,42,21,126,126,126,120,210,105,105,105,105,35,105,35,105,210,
105,105,105,35,105,210,210,105,105,105,70,70,70,35,126,63,21,63,126,120,105,
105,105,105,30,42,21,70,35,35,35,63,7,42,21,21,21,35,30,21,21,7,7,1,3,1,1],[1,
126,105,35,140,1,70,280,35,210,420,315,315,126,245,315,105,126,630,420,420,
140,105,840,120,420,105,105,630,315,70,35,280,140,280,126,126,126,315,315,35,
105,105,105,105,35,70,35,70,70,140,105,210,210,210,420,210,315,315,420,120,
126,315,245,140,280,70,140,315,105,420,420,140,280,126,252,120,120,240,105,
105,105,35,105,105,105,140,105,420,210,210,105,210,105,105,105,105,630,210,
315,70,126,126,126,315,315,70,70,70,35,35,70,105,105,105,105,35,70,70,140,105,
420,126,120,120,240,105,105,315,105,140,70,140,42,21,126,252,120,105,105,105,
35,105,70,35,70,35,35,105,105,140,70,105,210,105,105,105,70,70,70,35,42,42,21,
126,120,105,35,105,105,30,42,21,70,35,35,35,21,7,42,42,21,35,30,7,21,7,7,1,1,
1,1],[1,3,105,315,35,140,1,70,280,315,35,105,315,315,945,945,126,105,420,210,
105,630,315,105,210,420,1260,1,105,1260,2520,120,105,315,945,315,945,945,945,
70,35,280,140,280,378,126,378,630,315,1260,105,630,35,105,315,315,315,35,70,
35,70,70,140,105,105,210,315,105,105,315,315,630,630,360,126,945,210,210,70,
210,105,35,210,105,840,420,140,420,840,378,126,378,120,120,240,315,105,315,
105,210,315,105,315,315,315,105,315,315,210,630,35,315,630,630,1260,105,315,
105,315,630,315,315,70,126,126,126,210,105,210,210,70,210,35,35,70,105,105,
105,105,105,35,70,70,140,105,420,378,360,120,315,315,630,315,315,70,70,70,42,
21,126,126,126,120,210,105,105,105,105,35,105,35,105,210,105,105,105,35,105,
210,210,70,210,420,105,105,105,70,70,70,35,126,21,63,63,126,120,105,105,105,
210,105,30,42,21,70,35,35,35,63,90,7,42,21,21,21,35,30,21,21,30,7,7,1,3,1,1],[
1,210,105,56,560,70,420,1260,315,630,210,630,336,560,840,1680,1680,560,960,
1260,210,105,1260,630,315,315,1260,30,630,630,210,280,336,840,280,840,70,560,
420,1680,840,336,630,35,630,315,315,630,630,630,560,280,560,1008,960,840,420,
210,1680,420,420,420,840,840,840,840,336,315,210,105,315,630,280,280,280,280,
210,70,210,70,420,840,240,168,56,336,315,280,280,210,210,210,70,105,168,168,
35,120,240,240,56,210,105,35,70,28,56,35,28,30,8,1],[1,66,126,630,105,35,140,
1,70,280,378,1890,1260,35,315,210,1260,420,315,1890,315,945,1890,126,735,420,
105,245,315,945,105,315,126,630,1260,420,420,1260,420,140,22,210,105,210,1890,
840,2520,840,120,315,630,1260,1890,945,420,1260,1260,1890,1890,420,105,945,
1260,945,945,105,1890,630,945,1890,315,70,35,280,140,280,756,126,126,756,126,
945,735,1890,945,945,1260,1260,420,945,315,315,315,945,35,315,105,315,105,945,
105,315,105,315,630,35,70,35,70,70,140,105,210,210,210,420,210,126,105,630,
420,315,630,315,315,1890,630,1890,630,1260,1260,420,1260,420,630,2520,360,360,
120,126,1260,945,315,1890,945,315,945,1890,1890,315,945,210,420,245,140,280,
70,420,210,140,315,35,245,315,105,105,840,840,420,420,140,140,420,420,140,840,
840,280,378,756,756,126,378,378,252,378,120,120,240,315,315,315,315,945,315,
945,315,945,945,105,315,315,315,420,210,315,1260,105,315,315,315,315,105,315,
105,105,315,35,315,315,105,105,315,315,315,105,315,315,315,105,140,105,315,
420,210,210,630,105,140,105,315,210,210,630,210,630,1260,105,315,105,315,105,
210,420,105,420,630,630,630,210,630,630,630,420,420,630,630,315,630,630,630,
315,315,315,630,315,70,360,126,126,252,252,126,945,420,210,420,210,420,315,
245,630,315,315,70,840,70,210,70,210,420,35,35,70,105,315,315,105,105,315,105,
315,105,105,105,105,105,315,210,35,70,70,140,105,420,420,420,420,420,140,420,
840,378,756,756,378,126,360,360,120,120,120,120,240,315,315,315,315,315,315,
315,315,315,315,315,105,315,315,315,420,630,630,315,315,315,315,105,315,315,
105,420,315,630,630,315,105,630,105,315,105,630,315,630,630,315,315,140,70,
140,140,70,70,140,42,21,126,126,126,252,126,252,126,252,120,210,210,210,105,
210,210,105,105,315,105,105,315,105,105,315,315,35,105,105,105,210,70,35,70,
35,105,35,105,35,105,35,105,105,210,210,105,105,105,105,105,105,105,105,105,
105,105,105,105,105,105,105,105,140,70,35,140,105,105,210,210,210,70,210,420,
105,105,105,105,105,105,105,420,378,360,120,315,315,315,315,140,70,140,70,70,
70,70,70,70,140,140,35,126,126,42,63,42,126,21,63,126,126,126,252,252,120,120,
120,210,105,105,105,105,105,105,105,105,105,105,105,105,35,105,105,105,35,105,
210,105,105,105,105,140,105,210,210,105,105,210,105,105,105,105,105,105,105,
30,42,21,70,70,70,35,70,70,70,70,35,35,35,35,35,35,126,126,63,21,126,63,126,
120,105,105,105,105,90,7,42,42,42,42,21,42,21,21,70,35,35,35,35,35,35,35,63,
30,21,21,7,42,42,21,42,21,21,35,30,7,21,21,7,7,7,1,7,3,1,3,1,3,1,1,1,1],[1,28,
210,420,105,56,560,210,1260,420,70,210,420,1260,1260,315,630,630,630,1260,210,
630,336,560,560,56,560,840,840,1680,1680,560,1680,1680,560,960,210,420,1260,
630,630,420,1260,420,1260,1260,1260,210,630,1260,630,630,105,1260,1260,630,
1260,630,315,630,315,1260,1260,1260,30,630,630,1260,210,280,1008,336,1008,840,
560,1680,1680,1680,560,840,840,280,840,840,840,70,560,420,1680,1680,1680,1680,
840,960,336,1260,630,105,1260,630,210,630,630,630,1260,1260,630,35,630,630,
210,630,630,315,630,315,315,315,630,315,630,630,630,630,1260,1260,280,560,560,
280,560,280,560,1008,336,1008,960,840,420,840,840,420,420,1680,280,840,840,
840,70,420,210,210,1680,420,420,420,420,420,840,840,840,840,336,336,336,630,
210,630,315,630,630,315,630,210,315,630,105,315,315,315,630,630,560,280,560,
280,560,280,280,280,280,280,560,280,1008,960,840,420,420,420,210,420,420,420,
420,210,210,70,210,210,210,70,420,420,840,840,240,168,56,336,336,336,315,105,
315,315,315,315,315,280,280,280,280,280,280,280,280,280,280,210,420,210,210,
70,210,210,210,210,210,70,105,168,168,168,56,168,168,336,315,280,280,35,120,
240,240,56,210,105,210,105,105,168,168,70,35,70,120,28,56,56,56,105,35,35,35,
28,28,28,56,35,30,28,8,8,1,1],[1,210,105,56,560,1,112,1120,70,420,1260,315,
630,210,630,336,560,840,210,1680,1680,1680,560,105,3360,960,1260,210,105,1260,
630,315,315,1260,30,630,630,210,280,56,1120,560,1120,336,840,280,840,70,560,
70,140,560,1120,420,420,840,1260,315,630,1680,210,630,840,1680,336,336,672,
630,35,630,315,315,630,630,630,560,560,1120,280,560,840,1680,1680,560,1120,
1008,960,960,1920,840,420,210,1260,1680,210,420,420,420,420,105,1260,840,630,
315,315,1260,30,630,630,210,840,840,840,1680,840,840,840,280,336,336,672,315,
210,105,315,630,840,280,280,280,280,280,560,840,70,560,560,1120,420,1680,840,
336,210,70,210,630,35,630,140,70,140,420,315,315,630,630,630,840,560,280,560,
240,168,56,336,1008,960,315,840,280,280,420,210,1680,420,420,420,840,840,840,
840,336,210,315,210,210,210,70,420,105,315,105,210,630,280,280,280,280,168,
168,210,70,210,35,140,70,140,420,840,120,240,240,240,240,240,168,56,56,112,
336,315,210,105,280,280,210,35,70,210,210,70,140,105,28,168,168,56,35,120,240,
240,56,35,210,105,28,35,70,28,56,30,35,28,8,30,8,1,1],[1,84,210,1260,105,56,
560,1,112,1120,630,3780,1260,70,630,420,3780,1260,315,1890,630,1890,3780,210,
630,336,1680,1680,168,560,840,2520,210,1680,5040,1680,1680,5040,1680,560,28,
420,105,336,5040,3360,10080,3360,960,630,1260,3780,1890,1890,1260,3780,1260,
3780,3780,1260,210,1890,3780,1890,1890,105,3780,1260,1890,3780,630,315,1890,
315,1260,3780,3780,30,630,630,3780,210,280,56,1120,560,1120,3024,336,3024,
2520,1680,5040,5040,5040,1680,2520,840,280,2520,840,2520,70,560,70,140,560,
1120,420,420,840,1260,210,210,1260,1260,315,630,630,630,5040,5040,5040,5040,
1680,5040,420,1260,210,630,10080,840,1680,2880,336,336,672,3780,1890,315,3780,
1890,630,1890,1890,1890,3780,3780,630,35,1890,630,630,1890,1890,945,1890,315,
945,945,1890,315,630,630,630,1890,3780,3780,840,1680,560,560,1120,280,1680,
840,560,840,56,560,840,3360,3360,1680,1680,560,560,1680,1680,560,3360,3360,
1120,3024,1008,1008,960,960,1920,2520,1260,2520,2520,1260,1260,5040,840,2520,
840,2520,210,420,210,630,1260,1680,210,420,210,630,420,420,1260,1680,420,1260,
420,1260,420,420,1260,105,420,1260,1260,2520,840,2520,1260,1260,1260,1260,630,
630,630,630,630,1260,630,315,630,315,1260,1260,1260,30,630,630,1260,210,840,
840,840,1680,840,840,840,280,1008,336,1008,336,672,1008,1008,2016,2016,1890,
630,1890,945,1890,1890,315,1890,210,945,1890,105,315,945,945,1890,630,1680,
840,1680,840,1680,840,560,1680,280,3360,280,840,280,840,1680,280,280,560,840,
840,840,840,840,70,560,560,1120,420,1680,1680,1680,1680,1680,560,1680,3360,
840,3024,2880,960,336,2520,1260,1260,1260,630,1260,1260,1260,1260,630,210,70,
630,210,630,1260,630,1260,630,210,35,630,630,210,1260,140,1260,70,140,420,
1260,105,1260,630,1260,315,315,2520,630,630,630,315,630,630,630,630,315,315,
630,630,630,630,1260,1260,840,2520,2520,2520,560,280,560,560,280,280,560,240,
168,56,1008,336,1008,1008,336,1008,2016,960,945,315,945,315,945,945,945,840,
840,840,840,840,840,840,840,840,840,280,280,840,280,840,1680,840,840,420,70,
420,210,210,1680,1680,420,420,420,420,420,420,420,1680,840,840,840,840,336,
336,336,630,1260,630,630,210,630,210,630,630,315,630,210,630,630,210,420,210,
210,70,420,315,315,105,315,315,315,105,210,630,630,630,630,560,280,560,280,
280,280,280,280,280,560,560,280,504,504,168,168,168,504,1008,1008,960,945,840,
840,840,420,210,420,210,210,70,210,210,210,35,140,70,140,420,420,420,420,420,
420,420,840,840,120,240,240,240,240,240,168,56,56,112,336,336,336,630,315,315,
315,315,210,105,315,315,315,105,315,630,280,280,280,280,280,280,280,280,280,
280,504,504,210,210,210,210,70,210,210,210,35,70,420,210,210,70,140,420,105,
360,28,168,168,168,168,168,56,168,56,168,336,336,315,315,280,280,35,120,240,
240,56,105,210,35,105,210,105,105,105,84,84,28,168,168,168,70,35,70,120,28,56,
56,56,105,105,30,84,35,35,35,28,28,28,56,8,35,30,28,24,8,8,1,3,1,1],[1,378,
945,84,1680,1120,126,1260,3780,2835,5670,1890,5670,756,1260,3780,1260,5040,
15120,5040,10080,4320,3780,1890,945,11340,5670,2835,2835,11340,270,5670,5670,
1890,840,1680,1120,840,6720,2268,756,2268,3780,3780,1260,3780,1260,3780,3780,
126,2520,1260,2520,15120,7560,4320,3024,5670,315,5670,2835,2835,5670,5670,
5670,5040,840,5040,5040,5040,1680,10080,840,6720,756,2268,2268,4536,4536,4320,
3780,1260,3780,1260,3780,3780,3780,1260,1890,7560,1260,3780,3780,7560,7560,
7560,7560,7560,280,1120,2240,3024,2835,1890,945,2835,5670,2520,840,2520,1260,
1260,5040,2520,756,2268,2268,4320,3780,1890,630,1890,630,3780,7560,840,1680,
3360,6720,2160,504,126,3024,756,2835,1260,2520,1260,1260,1260,1260,1260,840,
2268,1120,1890,1890,1890,630,945,840,280,840,1512,756,378,756,1260,1260,315,
1120,1080,1080,2160,504,504,1890,945,840,840,378,126,378,756,315,630,280,84,
504,504,378,240,315,280,252,126,84,270,126,240,84,36,36,9,1],[1,36,378,1260,
945,84,1680,1120,378,3780,3780,126,378,1260,3780,3780,2835,5670,5670,5670,
11340,1890,5670,756,1260,5040,84,1260,3780,3780,1260,1260,5040,10080,5040,
1680,15120,15120,5040,10080,10080,4320,378,1260,3780,5670,5670,1260,3780,3780,
11340,11340,3780,1890,5670,3780,5670,5670,945,11340,11340,5670,11340,5670,
2835,5670,2835,11340,11340,11340,270,5670,5670,11340,1890,840,1680,1120,840,
6720,4536,2268,756,4536,2268,3780,1260,7560,3780,3780,15120,15120,5040,3780,
1260,3780,3780,3780,1260,3780,3780,3780,1260,3780,3780,3780,3780,3780,7560,
126,2520,1260,2520,5040,15120,30240,15120,15120,7560,4320,4320,4320,3024,3780,
5670,945,11340,5670,1890,5670,5670,5670,11340,11340,5670,315,5670,5670,1890,
5670,5670,2835,5670,2835,2835,2835,5670,2835,5670,5670,5670,5670,11340,11340,
2520,1680,1680,5040,840,1680,2520,5040,5040,5040,5040,5040,1680,1680,3360,
3360,10080,10080,840,6720,2268,4536,4536,756,2268,2268,2268,2268,2268,756,
4536,2268,4536,4320,3780,1260,1260,2520,3780,3780,3780,3780,3780,3780,3780,
1260,3780,3780,3780,1260,2520,3780,15120,1260,3780,1260,3780,3780,3780,3780,
1260,3780,3780,1260,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,
126,1260,1890,1890,7560,7560,1260,1260,3780,3780,3780,7560,7560,7560,7560,
7560,7560,280,1120,2240,4320,3024,3024,3024,5670,1890,5670,2835,5670,5670,
2835,5670,1890,2835,5670,945,2835,2835,2835,5670,5670,5040,2520,5040,840,5040,
5040,5040,1680,2520,840,840,2520,2520,5040,1260,1260,5040,5040,5040,5040,
10080,5040,2520,2268,2268,2268,4536,4536,756,2268,2268,2268,2268,2268,2268,
2268,4320,4320,4320,3780,3780,3780,1260,3780,3780,1260,3780,7560,3780,3780,
1890,1260,3780,3780,3780,1260,3780,7560,3780,3780,3780,3780,3780,3780,1890,
1890,630,1890,1890,1890,630,3780,3780,7560,7560,840,840,1680,280,1680,3360,
1120,3360,6720,2160,504,126,3024,3024,3024,756,2835,945,2835,2835,2835,2835,
2835,1260,2520,2520,2520,1260,840,2520,1260,1260,5040,1260,2520,2520,1260,
1260,1260,1260,1260,1260,1260,1260,1260,2520,2520,840,2268,2268,2268,2268,756,
2268,2268,1120,4320,3780,1890,3780,1890,1890,630,1890,1890,1890,1890,1890,630,
945,840,840,1680,840,840,280,840,840,1680,3360,1512,504,1512,126,756,756,378,
378,3024,756,756,756,2835,1260,1260,1260,2520,1260,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,315,2520,2268,1120,1120,1120,1080,1080,2160,504,504,
1890,945,1890,945,945,840,280,840,840,840,840,840,840,1512,756,378,378,756,
378,126,378,378,378,756,756,756,1260,1260,630,315,630,280,1120,1080,1080,84,
504,504,504,504,504,504,945,840,840,378,126,378,378,378,378,378,756,240,315,
315,315,280,280,280,252,84,252,504,504,126,378,84,315,280,270,252,126,126,126,
240,84,84,84,36,126,84,36,36,36,36,9,9,1,1],[1,378,945,84,1680,1,168,3360,
1120,2240,126,1260,3780,2835,5670,1890,5670,756,1260,3780,1260,378,7560,5040,
15120,5040,945,30240,10080,4320,3780,1890,945,11340,5670,2835,2835,11340,270,
5670,5670,1890,840,84,3360,1680,3360,1680,3360,1120,3360,6720,1120,6720,1120,
1120,840,6720,6720,13440,2268,756,2268,3780,3780,1260,3780,1260,3780,3780,126,
2520,126,252,2520,5040,1260,1260,2520,2520,2520,5040,3780,7560,2835,5670,
15120,1890,5670,7560,15120,4320,3024,756,6048,5670,315,5670,2835,2835,5670,
5670,5670,1260,5040,10080,840,5040,3780,1260,5040,10080,5040,1680,5040,10080,
15120,5040,10080,10080,10080,10080,10080,840,6720,756,2268,2268,4536,4536,
4320,4320,8640,3780,1260,3780,1260,3780,3780,3780,1260,1890,3780,7560,7560,
1890,3780,1260,3780,3780,945,11340,7560,7560,5670,2835,2835,11340,270,5670,
5670,1890,7560,7560,7560,15120,7560,7560,7560,840,280,1680,1680,3360,1120,
2240,1120,2240,4480,2240,840,6720,3360,6720,3360,6720,3024,2268,756,6048,2268,
2835,1890,945,2835,5670,3780,3780,2520,840,2520,1260,1260,2520,3780,1260,3780,
3780,1260,2520,5040,126,2520,2520,5040,1260,2520,2520,5040,15120,7560,2520,
756,2268,2268,4320,4320,8640,3024,3780,1890,630,1890,5670,315,5670,1260,630,
1260,3780,2835,2835,5670,5670,5670,7560,5040,840,840,1680,5040,1680,5040,5040,
1680,3360,10080,3360,6720,840,6720,3360,6720,3360,6720,2160,504,126,3024,756,
756,1512,2268,2268,4536,4536,4320,2835,3780,1260,3780,1260,2520,1260,3780,
2520,1260,2520,1260,1260,3780,3780,1260,1260,1260,2520,1890,7560,1260,2520,
3780,3780,7560,7560,7560,7560,7560,840,2268,280,1120,2240,1120,2240,2240,4480,
3024,1890,2835,1890,1890,1890,630,3780,945,2835,945,1890,5670,2520,840,840,
1680,2520,280,840,1260,1260,5040,2520,1512,756,378,756,756,1512,2268,2268,
4320,3780,1260,1260,1890,630,1890,315,1260,630,1260,3780,7560,840,1680,1120,
3360,6720,1080,1080,2160,2160,2160,2160,504,504,1008,126,504,1008,3024,756,
2835,1890,945,1260,2520,1260,840,1260,1260,1260,1260,840,840,840,840,378,126,
378,756,2268,1120,1890,315,630,1890,1890,630,1260,945,840,280,840,280,560,84,
1512,504,756,378,504,756,1260,1260,315,378,1120,240,1080,1080,2160,504,504,
315,1890,945,840,280,840,252,378,126,378,126,252,756,315,630,280,84,84,168,
504,504,270,378,126,240,240,240,240,315,280,252,84,126,36,84,270,126,240,36,
84,36,36,9,9,1,1],[1,108,378,3780,945,84,1680,1,168,3360,1120,2240,1134,11340,
11340,126,1134,1260,11340,3780,2835,17010,5670,17010,34020,1890,5670,756,3780,
15120,252,1260,3780,11340,1260,3780,378,7560,15120,30240,5040,5040,45360,
15120,5040,36,1260,945,504,22680,10080,90720,30240,30240,10080,60480,4320,
1134,3780,11340,17010,17010,3780,11340,11340,34020,34020,3780,1890,17010,
11340,17010,17010,945,34020,11340,17010,34020,5670,2835,17010,2835,11340,
34020,34020,270,5670,5670,34020,1890,840,84,3360,1680,3360,1680,3360,1120,
3360,6720,1120,6720,1120,1120,840,6720,6720,13440,13608,2268,756,13608,2268,
11340,3780,22680,11340,11340,45360,45360,15120,11340,3780,3780,3780,11340,
1260,11340,3780,11340,1260,11340,3780,11340,3780,11340,22680,126,2520,126,252,
2520,5040,1260,1260,2520,2520,2520,5040,3780,7560,378,378,3780,3780,2835,5670,
5670,5670,22680,22680,22680,22680,15120,45360,90720,15120,45360,3780,11340,
1890,5670,90720,7560,15120,12960,12960,4320,3024,756,6048,11340,17010,2835,
34020,17010,5670,17010,17010,17010,34020,34020,5670,315,17010,5670,5670,17010,
17010,8505,17010,2835,8505,8505,17010,2835,5670,5670,5670,17010,34020,34020,
7560,5040,5040,1260,5040,10080,840,5040,7560,5040,3780,84,1260,3780,1260,1260,
10080,30240,5040,10080,15120,5040,15120,1680,5040,30240,10080,5040,10080,
10080,5040,1680,5040,15120,15120,5040,10080,30240,10080,10080,10080,10080,
30240,60480,10080,10080,10080,60480,10080,10080,10080,10080,10080,10080,30240,
840,60480,6720,6804,13608,13608,756,6804,2268,6804,2268,6804,2268,4536,6804,
4536,4320,4320,8640,11340,3780,3780,7560,11340,11340,11340,11340,11340,11340,
11340,3780,11340,11340,11340,3780,7560,11340,45360,3780,11340,3780,11340,
11340,3780,11340,1260,3780,11340,1260,11340,11340,3780,3780,11340,11340,11340,
3780,11340,11340,11340,378,1260,1890,5670,3780,7560,7560,22680,378,1260,1890,
5670,756,3780,11340,7560,22680,45360,1260,3780,3780,11340,3780,1260,3780,945,
3780,11340,11340,7560,7560,22680,22680,7560,7560,22680,45360,3780,3780,11340,
11340,5670,22680,22680,5670,5670,5670,5670,11340,5670,2835,5670,2835,11340,
11340,11340,270,5670,5670,11340,1890,7560,7560,7560,15120,7560,7560,7560,840,
280,1680,1680,3360,1120,2240,1120,2240,4480,2240,840,6720,3360,6720,3360,6720,
12960,9072,3024,9072,2268,756,6048,4536,4536,2268,18144,18144,17010,5670,
17010,8505,17010,17010,2835,17010,1890,8505,17010,945,2835,8505,8505,17010,
5670,15120,7560,15120,2520,15120,15120,15120,5040,3780,1260,7560,3780,3780,
2520,30240,840,2520,2520,7560,15120,1260,1260,2520,3780,3780,3780,3780,3780,
3780,1260,3780,3780,3780,3780,3780,1260,2520,1260,3780,7560,5040,15120,30240,
15120,15120,126,2520,2520,5040,1260,2520,2520,5040,5040,15120,15120,30240,
30240,15120,15120,5040,15120,30240,30240,7560,30240,30240,15120,2520,6804,
6804,6804,13608,13608,756,6804,6804,6804,6804,2268,6804,2268,12960,12960,4320,
4320,4320,4320,8640,3024,11340,11340,11340,3780,11340,11340,3780,11340,22680,
11340,11340,5670,3780,11340,11340,11340,3780,11340,22680,11340,11340,11340,
11340,3780,11340,5670,1890,630,5670,1890,5670,3780,5670,11340,22680,5670,1890,
315,5670,5670,1890,11340,1260,11340,630,1260,3780,11340,945,11340,5670,11340,
2835,2835,22680,5670,5670,5670,2835,5670,5670,5670,5670,2835,2835,5670,5670,
5670,5670,11340,11340,7560,22680,22680,22680,2520,5040,840,840,1680,5040,1680,
1680,2520,2520,5040,840,1680,5040,5040,1680,5040,5040,5040,5040,1680,1680,
10080,10080,3360,3360,3360,10080,6720,10080,3360,3360,6720,6720,10080,840,
6720,10080,10080,3360,6720,10080,10080,3360,6720,2160,504,126,9072,3024,9072,
756,756,1512,2268,2268,2268,2268,2268,2268,4536,756,4536,2268,18144,4536,4536,
4320,8505,2835,8505,2835,8505,8505,8505,3780,7560,7560,7560,3780,2520,7560,
3780,3780,15120,3780,3780,3780,1260,3780,3780,3780,1260,2520,3780,3780,1260,
3780,3780,3780,7560,2520,1260,2520,1260,3780,1260,3780,1260,3780,1260,3780,
3780,7560,7560,3780,3780,3780,3780,3780,1260,3780,3780,1260,3780,3780,3780,
3780,3780,3780,3780,3780,1260,3780,1260,3780,7560,7560,1260,2520,126,1260,
1890,1890,7560,7560,7560,2520,7560,15120,1260,2520,1260,1260,3780,3780,3780,
3780,7560,7560,2520,7560,7560,15120,15120,7560,7560,7560,7560,7560,7560,840,
6804,6804,6804,2268,2268,6804,6804,280,1120,2240,1120,2240,2240,4480,12960,
4320,3024,3024,3024,11340,5670,11340,5670,5670,1890,5670,1890,5670,5670,2835,
5670,1890,5670,5670,1890,3780,1890,1890,630,3780,2835,2835,945,2835,2835,2835,
945,1890,5670,5670,5670,5670,2520,2520,5040,5040,2520,5040,840,840,1680,2520,
840,840,2520,2520,2520,280,840,2520,5040,5040,5040,5040,5040,1260,1260,5040,
5040,1680,5040,5040,5040,5040,10080,10080,10080,5040,2520,10080,10080,4536,
1512,1512,378,756,2268,378,1134,9072,2268,756,2268,2268,756,2268,4536,1512,
4536,2268,2268,2268,2268,2268,2268,2268,2268,4536,4536,4320,4320,4320,8505,
3780,3780,3780,7560,3780,3780,3780,3780,3780,3780,3780,3780,3780,3780,1260,
3780,3780,3780,1260,3780,7560,1260,3780,3780,3780,1260,3780,7560,3780,3780,
3780,3780,1260,1890,3780,7560,1890,1890,630,1890,1890,1890,315,1260,7560,630,
1260,1260,3780,3780,7560,3780,3780,3780,3780,7560,7560,7560,7560,6804,840,840,
1680,280,1680,3360,3360,1120,6720,3360,1120,3360,6720,6720,1080,1080,2160,
2160,2160,2160,504,504,1008,126,504,1008,3024,3024,3024,756,5670,2835,2835,
2835,2835,1890,945,2835,2835,2835,945,2835,5670,2520,840,2520,2520,2520,1260,
2520,2520,2520,1260,840,2520,840,5040,2520,2520,2520,1260,1260,1260,1260,1260,
1260,1260,1260,1260,1260,1260,1260,5040,2520,2520,840,840,840,840,4536,2268,
1134,378,2268,1134,126,1134,378,1134,2268,756,2268,2268,2268,756,4536,2268,
2268,2268,2268,1120,4320,3780,3780,3780,1890,1890,1890,1890,630,1890,1890,
1890,315,630,3780,1890,1890,630,1260,3780,945,840,840,840,280,840,840,840,280,
560,1680,1680,3360,3360,3240,3240,84,1512,1512,1512,504,1512,504,3024,1512,
756,126,756,378,378,504,1512,3024,3024,756,756,756,2835,2835,2520,1260,1260,
1260,2520,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,315,2520,
2520,2520,2520,1134,378,1134,378,1134,1134,1134,2268,2268,1120,1120,1120,240,
1080,1080,2160,504,504,945,1890,315,945,1890,945,945,945,840,840,840,840,280,
840,840,840,280,840,1680,840,756,252,252,1512,1512,1512,756,378,756,378,378,
126,378,378,378,126,252,756,756,756,1260,1260,630,315,630,1134,280,1120,1080,
1080,84,84,168,504,504,504,504,504,504,945,945,840,840,840,270,756,378,378,
378,378,126,378,378,378,126,378,756,756,240,240,240,240,315,315,315,280,280,
280,252,252,252,84,252,84,504,504,504,126,36,378,378,84,315,280,270,252,252,
126,126,126,240,108,36,108,84,84,84,36,126,108,84,36,36,36,9,36,27,9,9,1,3,1,
1]],
[1,2,2,2,2,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,14,14,14,15,15,15,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,20,20,20,20,20,20,20,20,20,20,20,20,20,21,21,21,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,27,27,27,27,
27,27,27,27,27,27,27,27,27,27,27,27,27,28,30,30,30,30,30,30,30,30,30,30,30,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,40,40,40,40,40,40,40,40,40,40,40,40,40,42,42,42,42,42,42,
42,45,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,56,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,63,64,64,64,64,64,64,64,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,80,80,80,80,80,80,80,81,81,81,81,
81,81,81,84,84,90,90,90,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,126,126,126,128,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,160,162,162,162,162,162,162,162,162,162,162,
162,162,162,162,168,168,168,168,168,168,180,180,180,180,180,180,180,180,180,
180,192,192,192,192,192,192,192,192,192,192,192,192,192,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,
216,216,216,216,216,216,216,216,216,216,216,216,240,240,240,240,240,240,240,
240,240,240,240,240,240,240,240,240,240,240,240,240,240,243,252,288,288,288,
288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,324,324,
324,324,324,324,324,324,324,324,324,324,324,336,336,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,384,384,432,432,
432,432,432,432,432,432,432,432,432,432,432,432,432,432,432,432,432,432,432,
480,480,480,480,480,480,480,480,480,486,486,486,504,504,504,504,540,540,576,
576,576,576,576,576,576,576,648,648,648,648,648,648,648,648,648,648,648,648,
720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,
720,864,864,864,864,864,960,972,972,1008,1008,1080,1080,1080,1080,1080,1080,
1080,1080,1080,1152,1152,1296,1296,1296,1344,1440,1440,1440,1440,1440,1440,
1440,1440,1440,1440,1440,1440,1440,1512,1512,1512,1512,1728,1728,1728,1944,
1944,1944,2160,2160,2160,2160,2160,2160,2160,2160,2160,2160,2520,2880,2880,
3240,3456,3888,4032,4320,4320,4320,4320,4320,4536,5040,5040,5040,6480,6480,
6480,7560,8640,10080,12960,15120,15120,15120,20160,30240,40320,60480,120960,
181440,362880,544320,1088640],
[1293,1280,1261,1064,1221,1281,1176,1293,1276,1094,1208,1152,1206,798,800,
1279,1206,1201,798,1066,1121,675,994,675,429,1165,1000,1238,1065,684,1266,
1202,1066,798,1201,1064,1261,930,691,486,1034,1008,305,771,1021,1286,1201,
1221,1255,566,863,173,503,509,864,269,1063,1206,1064,798,675,675,1065,798,800,
425,425,1066,1162,675,798,675,675,1221,425,807,675,425,994,1121,675,1121,821,
426,440,1265,995,1000,440,1168,1223,1281,1088,1176,1094,1176,1094,1208,1088,
965,1208,965,1208,1208,1224,972,974,790,780,1151,1238,780,1151,798,1065,538,
798,798,305,305,684,798,1064,1066,1066,798,1202,798,1066,798,1201,798,1066,
798,1066,798,544,1279,1131,1279,1270,1132,1027,1201,1201,1125,1137,1134,1031,
1066,930,1261,1261,1066,1066,1121,994,994,994,566,566,566,566,691,305,166,771,
305,1082,812,1165,1000,173,958,773,793,793,1063,1116,1238,988,798,675,1120,
425,675,992,675,675,675,425,425,994,1263,675,994,992,675,675,901,675,1121,901,
901,675,1121,995,995,1000,680,440,440,905,1006,1008,1202,1011,836,1223,1008,
905,1021,1066,1281,1202,1066,1201,1201,849,456,1034,860,691,1034,691,1176,
1008,484,863,1034,857,851,1034,1176,1021,771,771,1021,863,504,853,865,864,849,
498,256,862,866,864,260,863,863,868,864,869,864,509,1224,269,974,961,780,780,
1238,961,1151,961,1151,961,1150,1058,961,1060,1063,1063,900,798,1064,1064,904,
798,798,798,798,798,798,798,1065,798,798,798,1065,908,800,305,1065,798,1064,
798,798,1066,798,1201,1066,798,1202,798,798,1066,1066,798,798,798,1066,798,
798,798,1260,1202,1162,992,1066,930,946,550,1261,1202,1162,994,1237,1071,814,
937,566,345,1201,1064,1082,800,1082,1201,1066,1221,1082,807,807,922,955,586,
540,957,952,566,364,1066,1066,807,807,994,566,566,994,994,994,994,807,994,
1121,994,1121,821,810,830,1265,995,1000,830,1168,958,958,958,773,959,959,959,
1223,1264,1172,1176,1094,1208,1152,1208,1153,1062,1154,1224,974,1096,974,1096,
974,793,878,1116,878,1151,1238,988,1058,1058,1151,671,671,675,992,675,901,675,
675,1121,675,1165,901,680,1221,1121,901,901,680,995,683,905,684,1122,683,691,
691,1008,1066,1202,916,1066,1066,1126,456,1223,1122,1126,905,684,1202,1202,
1129,1066,1066,1066,1066,1066,1066,1201,1066,1066,1066,1066,1066,1201,1125,
1201,1066,923,1034,691,484,691,691,1279,1132,1131,1027,1201,1134,1137,1031,
1034,771,771,498,499,771,771,1021,771,504,505,958,507,508,776,1139,961,961,
961,780,780,1238,961,961,961,961,1151,961,1151,793,793,1063,1063,1063,1063,
900,1116,798,798,798,1064,800,800,1064,798,540,798,798,992,1065,798,798,798,
1065,801,550,800,800,798,798,1066,798,992,1162,1243,992,1162,992,1066,994,807,
566,994,1162,1263,994,994,1162,814,1203,814,1244,1205,1082,800,1221,807,994,
807,1121,1121,586,994,994,994,1121,994,994,994,994,1121,1121,995,995,1000,
1000,830,830,958,604,605,606,1122,1011,1223,1223,1172,1008,1173,1176,1126,
1126,1021,1222,1176,1018,1018,1176,1034,1034,1034,1034,1176,1176,863,863,1094,
1094,1096,864,975,865,1095,1096,970,974,866,1224,974,868,868,1096,974,869,869,
1096,974,1158,1256,1279,878,1116,878,1238,1238,1198,1151,1151,1151,1151,1151,
1151,1058,1238,1058,1151,671,1058,1060,1063,901,1120,901,1121,901,901,901,
1064,905,905,905,1065,1122,905,1065,1064,691,1066,1066,1066,1201,1066,1066,
1066,1201,1125,1066,1066,1202,1066,1066,1066,905,1126,1202,1129,1202,1065,
1202,1065,1202,1066,1202,1066,1066,929,929,1066,1066,1066,1066,1066,1201,1066,
1066,1201,1066,1066,1066,1066,1066,1066,1066,1066,1201,1064,1201,1064,922,922,
1202,1132,1279,1202,1162,1162,937,937,946,1131,946,756,1201,1134,1201,1201,
1082,1082,1082,1082,952,952,1137,957,957,770,771,958,958,958,959,960,960,1224,
961,961,961,1151,1150,961,961,1264,1208,1153,1208,1154,1152,1062,793,1063,
1116,1116,1116,798,992,800,992,992,1161,992,1162,992,994,1121,994,1162,994,
994,1165,1077,1165,1165,1244,1079,1121,1121,1221,1121,1121,1121,1221,1168,994,
995,1000,1000,1122,1122,1008,1011,1126,1011,1223,1223,1172,1122,1223,1223,
1126,1126,1126,1264,1223,1122,1018,1018,1008,1021,1021,1202,1201,1034,1034,
1176,1034,1034,1034,1034,863,864,865,1035,1139,868,869,1041,1184,1185,1260,
1228,1143,1261,1206,878,1150,1238,1150,1151,1238,1151,1057,1198,1057,1151,
1151,1151,1151,1151,1151,1151,1151,1058,1058,1063,1063,1063,901,1064,1064,
1064,905,1065,1065,1065,1065,1065,1064,1064,1066,1066,1066,1201,1066,1066,
1066,1201,1064,922,1202,1066,1066,1066,1202,1065,929,1066,1066,1066,1066,1202,
1162,1068,937,1162,1162,1243,1162,1162,1162,1263,1203,946,1244,1205,1201,1082,
1082,952,1082,1082,1082,1082,957,958,959,960,961,1223,1223,1176,1264,1176,
1095,1095,1208,970,1096,1208,1096,974,975,1209,1210,1158,1158,1158,1158,1256,
1256,1215,1279,1257,1219,1116,1116,1116,1238,992,1120,1121,1121,1121,1165,
1221,1121,1121,1121,1221,1120,1004,1122,1222,1122,1122,1122,1201,1126,1126,
1126,1202,1223,1126,1223,1018,1122,1126,1126,1202,1202,1202,1202,1202,1202,
1201,1201,1201,1201,1201,1201,1034,1139,1139,1224,1224,1224,1224,1041,1143,
1206,1261,1143,1206,1279,1206,1261,1206,1150,1238,1150,1151,1151,1238,1057,
1151,1151,1151,1151,1208,1063,1064,1065,1066,1161,1162,1162,1162,1243,1162,
1162,1162,1263,1244,1077,1165,1165,1244,1205,1082,1221,1223,1223,1223,1264,
1223,1223,1223,1264,1248,1176,1176,1095,1096,1097,1098,1281,1184,1185,1185,
1256,1184,1256,1106,1186,1228,1279,1228,1261,1261,1257,1186,1115,1116,1238,
1238,1238,1120,1121,1122,1201,1201,1201,1126,1202,1202,1202,1202,1202,1202,
1202,1201,1201,1201,1201,1263,1139,1140,1141,1142,1206,1260,1206,1261,1206,
1206,1206,1150,1151,1208,1208,1208,1271,1209,1210,1158,1256,1257,1220,1162,
1263,1220,1165,1221,1221,1221,1222,1223,1223,1223,1264,1223,1223,1223,1264,
1222,1179,1224,1226,1266,1267,1184,1185,1186,1228,1261,1228,1261,1261,1279,
1261,1261,1261,1279,1270,1238,1238,1238,1201,1202,1243,1263,1244,1206,1264,
1208,1209,1210,1281,1281,1276,1256,1256,1256,1257,1257,1257,1220,1221,1222,
1223,1224,1265,1226,1260,1261,1261,1261,1279,1261,1261,1261,1279,1260,1237,
1238,1271,1271,1271,1271,1263,1263,1263,1264,1264,1264,1266,1267,1267,1281,
1266,1281,1255,1256,1257,1279,1286,1260,1261,1281,1263,1264,1265,1266,1267,
1279,1279,1279,1271,1280,1286,1280,1281,1281,1281,1286,1279,1280,1281,1286,
1286,1286,1289,1286,1287,1289,1289,1293,1291,1293,1293],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,6,6,1,6,6,1,1,1,
1,1,7,7,7,1,7,8,8,1,9,9,10,10,1,11,11,12,1,3,1,3,1,3,1,1,1,1,1,3,1,3,3,1,3,1,
3,3,1,3,1,1,1,1,5,3,5,1,1,5,1,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,28,28,
28,1,6,6,1,6,1,7,7,6,6,6,6,6,1,6,6,1,1,6,6,1,1,6,6,16,16,1,16,1,16,18,1,18,18,
1,18,1,1,8,8,8,8,1,8,1,8,9,9,9,9,7,7,11,7,7,8,8,1,1,10,26,26,1,57,57,1,1,1,3,
3,1,3,3,1,3,1,3,3,3,3,1,3,3,1,3,3,1,3,5,5,5,5,5,5,5,5,5,27,27,1,6,6,6,6,6,91,
7,91,7,1,92,8,92,6,8,9,93,6,6,1,7,94,94,7,95,10,7,7,7,8,96,8,96,1,7,10,97,7,
98,11,9,99,100,8,101,11,102,10,10,103,11,104,11,11,105,12,107,1,28,28,1,1,28,
28,28,28,28,28,28,28,57,1,57,3,18,1,18,3,6,33,6,33,6,6,1,6,1,6,16,16,18,7,6,6,
6,6,6,33,33,6,33,33,6,6,6,6,3,33,33,33,33,33,3,33,138,138,16,138,3,3,139,139,
37,8,1,37,141,16,141,9,38,143,144,144,18,144,144,8,37,1,8,37,3,146,18,146,147,
147,9,38,149,37,8,8,37,1,9,38,8,37,8,37,8,8,1,8,1,5,37,48,1,1,5,8,5,174,26,
174,26,90,90,90,1,1,1,1,1,1,1,11,11,11,11,1,1,11,11,11,11,57,6,28,179,1,28,28,
8,180,28,9,181,3,3,3,21,21,21,21,21,26,21,27,5,21,21,21,27,26,6,91,7,91,91,6,
94,94,6,92,92,6,92,91,93,91,91,91,91,91,16,1,16,6,92,8,92,8,8,1,92,6,8,1,92,
18,18,92,92,92,94,94,95,7,94,16,16,16,16,18,18,18,18,96,96,7,99,98,8,96,96,96,
97,101,26,103,104,105,105,3,28,110,28,28,28,110,28,110,28,28,28,28,57,57,57,
285,8,57,57,1,3,33,33,144,18,144,6,33,147,33,33,16,6,6,33,33,138,138,139,144,
144,33,33,33,33,138,138,16,138,138,16,37,3,37,38,37,8,1,37,3,8,141,16,141,194,
194,144,144,8,37,37,37,5,48,146,37,8,48,5,37,37,37,37,8,48,5,5,5,48,172,172,
174,393,394,395,6,6,91,91,91,7,92,96,8,396,7,397,94,9,398,92,6,8,7,399,94,96,
400,10,94,96,401,11,402,98,403,105,404,107,101,105,107,103,409,105,107,104,
411,105,107,86,653,654,179,179,28,16,1,16,8,8,28,180,28,180,28,180,180,180,
181,180,28,57,21,74,74,80,80,82,82,18,91,91,91,16,219,219,127,131,94,33,92,
223,6,92,33,223,131,131,92,92,6,92,92,6,219,219,127,127,462,138,138,462,92,37,
8,3,223,141,464,92,223,92,33,223,92,92,92,8,223,37,92,223,223,8,37,223,144,
477,477,144,478,146,138,138,487,140,16,487,142,488,139,140,489,490,144,144,
145,491,18,145,491,144,148,492,145,493,147,494,96,174,26,174,90,268,105,268,
110,28,110,110,28,28,110,1,98,98,11,11,98,98,57,285,92,28,531,33,69,144,138,
330,138,138,330,330,37,21,156,37,37,156,26,141,576,194,576,194,156,156,5,21,
156,156,436,436,156,26,172,172,91,397,94,92,91,396,91,91,91,91,396,396,396,91,
396,397,397,397,398,398,397,96,396,16,18,92,399,399,94,399,96,399,400,401,403,
407,105,409,411,653,653,653,654,654,654,654,654,179,138,274,658,37,28,417,141,
274,660,180,417,180,417,180,28,180,28,180,180,285,285,57,202,144,131,477,219,
127,138,462,462,462,477,477,223,33,223,92,223,223,223,477,477,478,92,92,223,
223,462,462,464,223,37,223,223,487,138,487,488,487,140,16,487,138,140,194,194,
489,194,194,491,144,491,492,145,491,491,491,493,174,775,510,110,91,92,96,786,
94,397,403,787,404,401,789,105,107,402,976,977,86,652,652,652,653,653,653,654,
654,654,531,179,180,16,330,436,156,80,378,576,353,353,380,380,825,825,826,219,
397,610,397,397,131,396,609,219,127,609,396,610,398,610,609,396,462,463,487,
140,138,854,471,145,144,855,477,491,399,642,407,268,778,778,778,653,654,654,
654,654,654,654,654,654,654,658,658,274,417,110,180,660,180,417,180,417,98,
285,477,462,223,559,487,330,749,487,487,338,749,944,576,574,576,194,576,576,
491,436,91,396,396,397,786,397,786,846,846,399,786,787,789,976,977,1099,653,
653,982,982,983,983,984,654,654,985,985,654,985,986,986,987,531,487,274,991,
825,584,610,471,477,855,609,463,462,854,854,854,854,487,855,855,491,855,194,
867,1038,1039,1040,654,654,654,876,876,876,876,658,417,786,789,787,1155,976,
977,652,653,654,944,749,944,944,576,821,825,1083,846,609,610,786,786,962,962,
786,1091,1091,1092,778,1099,1099,1099,983,982,986,985,654,985,985,985,654,985,
654,985,1047,1047,991,658,659,855,854,940,944,576,876,846,1062,1156,1157,1099,
1099,1099,982,1159,983,985,986,1160,1075,1083,1091,962,1180,1225,1099,1047,
985,876,1111,985,985,1111,1111,1196,1196,1197,991,1155,1155,1155,1155,1138,
944,1138,1087,1091,1207,1099,1099,1211,1211,1212,1212,1213,1159,1160,1047,
1259,1196,1111,1099,1204,1207,1225,1212,1211,1192,1196,1258,1155,1259,1259,
1259,1211,1262,1212,1259,1258,1259,1262,1278,1259,1278,1285,1278,1285,1285,
1288,1290,1290,1290,1292],
[( 2, 4)( 3,12),( 1, 7,11, 5, 4, 8, 6,10, 2)( 3,12, 9)],
[[[[]]],[[[1,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[2,1,3,-1,
2,-1,1,1,3,1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[
3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,
1,4,1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,
4,1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,2,3,2,2,2,1,1]]],[[[2,
3]]],[[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]]],[[[1,1,2,-2,1,1,2,2,1,1]],[[2,-1,1,
1,2,1]]],[[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]],[[2,1,1,1],[3,1,2,-2,1,1,2,
2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[
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3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,
1],[8,2,5,-1,8,-2,5,1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,
-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1],[6,1],[8,
1,7,1],[7,1,8,2,9,-2]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,
1,6,-1,2,-1,1,1,6,1],[5,1,7,1],[7,1,5,1,7,1,8,1,5,-1,8,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,1,4,2,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,
3,-1,4,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,
-1,2,2,1,1]],[[2,1,1,1,2,-1,1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,
8,1],[8,2,5,-1,9,2,8,1,5,-1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,
1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,2,5,-1,8,-2,5,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,2,5,1,3,1,2,1,1,1]]],[[[2,1,1,
1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[5,-1,7,1,
5,1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1],[2,1,1,1],[5,2,2,-2],[6,1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,
6,2,7,2,2,1,7,1,6,1],[5,1,8,1],[8,2,5,-1,9,2,8,1,5,-1,8,1]],[[1,1,2,1],[2,1,1,
1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,
6,1],[5,1,8,1],[9,1,5,-1,8,1,9,2,8,2,5,1]]],[[[2,1,1,1],[1,1,2,2,3,1],[4,1,3,
1,4,1,3,1]]],[[[1,1,2,1],[1,1,3,-3,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,
4,-1,2,-1,3,-2]]],[[[2,1,1,1],[2,2,1,1,2,1],[1,1,2,-1,3,-1,4,-2,3,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,
-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,
1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,-1,2,-1,3,-2]]],[[[1,1,
2,1],[3,2,1,1,2,-1,1,1,2,-2,3,1]],[[2,1,1,1],[1,1,2,3,3,-2,2,-1]]],[[[1,1,2,
1],[3,1,2,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2]]],[[[1,
1,2,1],[2,1,3,2,2,1,1,1,3,2,2,1]]],[[[1,1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1],[4,1,5,1,4,-1,5,-1]]],[[[1,1,2,1],[3,2,2,1,3,1]]],[[[2,2,1,1,
2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,
2],[4,2],[6,1,5,1,6,1,5,1,4,1,5,1,6,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,1,1,1,
2,-2,1,1,2,2],[5,1,4,2,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,2,5,-1,
4,1,3,2,2,1,5,-1]],[[1,1,2,-3,1,1,2,1,1,1,2,2]]],[[[2,1,1,1],[1,1,2,-1],[2,2,
1,1,2,1],[3,1,5,1,4,-1,5,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,
1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,-2],[9,
2,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[
2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1],[9,1,8,1,9,1,8,1,5,-1,8,1]]],[[[1,1,
2,-3,1,1,2,3,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,
2,-2,3,-1,2,2,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,
3,2,1,1,2,-2,3,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1],[
3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-2,2,-1]],[[1,
1,2,1],[2,1,1,1,3,-2,2,-1,3,2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,
2,2],[4,2],[6,1,5,-1,6,1,5,1,4,1,5,1,6,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,
2,-2,1,1,2,2],[4,1,5,-1,4,2,5,-1,4,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,
-2,1,1,2,2],[4,2],[6,-1,5,1,6,1,5,1,4,-1,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[
1,1,2,-2,1,1,2,2],[4,1,5,-1,4,2,5,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,
1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,
3]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,
1],[4,1,6,-1,7,2]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,
2,2],[4,1,6,-2,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,
5,1,2,2],[4,1,6,-1,4,-1,6,1,4,1]],[[1,1,2,1],[3,2,2,1,3,1,2,2],[4,2]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[3,1,5,1,4,2,5,1,3,1,2,1,1,1]],[[1,1,2,1],[3,2,1,1,2,-2,
3,-1,2,1,1,1]]],[[[2,2,1,1,2,2,1,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,
1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,
1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,-1,4,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,
-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,1]],[[2,1,1,1,2,-1]],[[1,1,2,1],[3,1,2,1,1,
1,2,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-2,3,2,2,1,1,1,2,-1]],[[1,1,2,1],[3,1,2,2,1,
1,2,-2,3,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,
1],[6,1],[8,1,7,1],[7,1,8,2,9,-2]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[
2,1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[5,1,7,1],[7,1,5,-1,8,-1,7,1,8,1,5,1]],[[2,1,
1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[5,1,7,
1],[7,1,5,1,8,-2,7,1,5,1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,3,2,1]],[[2,1,1,
1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,2,1,1,2,-1,1,1,2,-1,1,1]]],[[[2,1,1,1],[1,1,
2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[5,1,7,1],[7,1,8,1,
5,1,8,1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1],[2,1,1,1],[5,2,2,-2],[6,1,4,
1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,
1],[5,1,7,1,5,1,7,1,5,1,7,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-2,4,-1,3,-2,
2,-1,4,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,
2,1,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,
6,1],[5,-1],[5,1,8,1],[10,1,9,-1,10,-1,8,-1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[
8,1,5,-1,8,-2,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,2,5,-1,8,-2,5,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
1,4,-1,2,-1,1,1,2,-1,3,1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,-1,1,
1,2,-1,1,1,2,2]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,
-1,2,-1,1,1,6,1],[5,1,7,1],[7,1,5,1,8,-2,7,1,5,1]],[[1,1,2,1],[1,1,2,-2,3,-1,
2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,
2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[
3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[1,
1,2,-1,3,2,1,1,2,-1]]],[[[2,1,1,1],[2,2],[1,1,2,-1,3,-1,4,-1,1,1,2,1,4,1,3,
1]],[[2,2,1,1,2,-1,1,1,2,-1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,
2,2,3,1,4,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[2,1,1,1],[1,1,2,3],[
4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[5,1,7,1],[7,1,5,1,7,1,8,
1,5,-1,8,-1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,
-1,2,2,6,1],[5,-1,7,1,5,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,
2,-2],[4,1],[6,1],[7,1,8,1,7,1,8,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-2,3,
1]],[[1,1,2,-2,1,1,2,-1,1,1,2,3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,
1],[4,1,6,1,5,1,4,-1,6,-1,5,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,1],[8,2,5,-1,9,2,8,1,5,-1,8,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,
2,2,1,7,1,6,1],[8,2,5,-1,8,-2,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,
3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,1],[9,1,5,
-1,8,1,9,2,8,2,5,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,
1,6,-1,2,-1,1,1,6,1],[5,1,7,1],[7,1,5,1,7,1,8,1,5,-1,8,-1]],[[1,1,2,1],[1,1,2,
-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,
1],[1,1,2,-2,1,1,2,2],[4,2],[6,1,5,-1,4,-1,5,-1,6,1,4,1]],[[1,1,2,1],[2,1,3,2,
2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,
5,-1,8,-2,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,
1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,-2,5,-1,8,-1]]],[[[2,1,1,
1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[5,-1,7,1,
5,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,-1]]],[[[
1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[6,1,5,1,6,-1,5,-1,4,-1,5,
-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2,5,1,4,1,5,1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,
1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,1],[9,1,8,1,9,1,8,1,5,1,8,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,
2,2,1,7,1,6,1],[5,1,8,-2],[9,2,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,
1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1],[5,1,
8,1],[9,1,8,1,10,2,9,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,2,3,1,4,
1]],[[2,1,1,1],[1,1,2,3],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,
1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1],[5,1,
8,1],[9,1,8,1,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,1,4,1,3,1],[5,
-3]]],[[[1,1,2,4]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[6,
1,5,-1,4,-1,5,-1,6,1,4,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,
1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,2,3,-1,2,-2]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,4,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,2,3,1,4,-1,2,-1]],[[2,1,1,1],[1,1,2,3],[3,1,
4,1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,1,5,-1,4,1,3,1,2,1,3,
1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,3,2,4,1]]],[[[1,1,2,1],[
1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,1,6,2,4,1,6,-1]],[[
1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,2,4,-1,6,
-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[3,1,1,1,
3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,-1,3,1,2,2,1,
1]],[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-1,2,-2,5,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
5,1,4,-1,3,-1,2,-1,3,-1,5,1,4,-2,3,-1]]],[[[1,1,2,-1],[2,1,1,1,2,-2,3,2,2,-1,
1,1,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[1,1,
2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,1,6,2,4,1,6,-1]],[[1,1,
2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,2,4,1,6,2,4,
1]]],[[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[2,1,1,1,2,-3,1,1,2,-1]]],[[[1,
1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,2,6,2]],[[1,1,2,
1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,-2,4,-1]]],[[[1,
1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,1,6,2,4,-1,
6,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,2,4,
1,6,2,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[
4,1,6,1],[6,1,7,1,6,1,7,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,
2,1,5,1,2,2],[6,2,4,1,6,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,4,1,2,
-2,3,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,3,-1,2,-2,3,-2,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,4,1,5,-1,3,1,4,-2,5,1]],[[1,1,2,1],[2,
2],[1,1,2,-1,3,1,4,1,2,1,1,1,4,1,3,1]]],[[[2,2,1,1,2,-1,1,1]]],[[[2,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,2,4,1,2,1,1,1]]],[[[1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,
1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,3,1,1,2,-1]],[[1,1,2,
1],[2,1,3,2,1,1,2,-3]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,1,1,
2,-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[3,
1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[1,1,2,-3,1,1,2,3,
1,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,2,3,1,4,-1,2,-1]],[[1,1,2,1],[3,1,
1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,3,-1,4,1,2,-1,4,-1]]],[[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,-2,1,1,2,3,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-3,4,-1,3,2,2,1,4,1]],[[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-2,
3,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]],[[1,
1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]]],[[[1,
1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[6,-1,5,-1,6,1,4,1,5,1]],[[
1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,-1,5,-1,4,-2,5,-1,4,
-1]]],[[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-1,
2,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,
1,2,-1]],[[2,-1,1,1,2,1]],[[2,1,1,1],[3,2,2,-2,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,
-1,2,2,1,1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
3,1,4,-1,2,-1,3,1,2,1,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[
1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[
1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,4,1,5,-1,4,1,2,2,5,-1]],[[1,1,2,1],[2,
1,1,1],[2,2,3,1,4,1,2,1,1,1,4,1,2,1,4,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,
3,1],[2,1,1,1],[5,2,2,-2],[4,1],[6,1],[8,1,7,1],[7,1,8,2,9,-2]],[[2,1,1,1],[1,
1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[5,-1,7,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1],[1,1,2,1],[2,1,1,
1],[6,2],[8,1,7,-2,8,-1],[9,2],[10,2,9,1,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,-1,4,2,2,1,4,-1,3,1],[1,1,2,1],[2,1,1,1],[6,2],[8,1,7,-2,8,-1],[5,1,9,-2,5,
1,9,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,1,4,2,3,1,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
2,2,1,4,-1,3,-1,2,-1,3,-1]],[[2,1,1,1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1],[
4,1,2,1,4,-1,3,1,4,1,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,-1],[1,
1,2,-1],[5,2,2,-2,1,1,2,1,1,1],[4,1],[6,1],[7,1,8,-1],[9,2,7,1,8,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,
1,2,1,7,1,6,-1,7,1],[8,1,5,1],[5,1,8,-1,9,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,-2,4,-2,3,1,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,1,1,2,-1,3,-1,2,-1,3,
-1,4,2,2,-1,3,1]]],[[[1,1,2,1],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,
4,2,3,-1,2,-2]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,
2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,
2,1],[5,2,2,1,5,1,2,2],[4,1,6,1],[7,2,4,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,3,1,4,2,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,
1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1,8,1,5,-1,8,-3]],[[1,1,2,1],[2,1,1,1],[3,
1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[
8,2,5,-1,8,-2,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[
1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,2],[5,-1,9,-2]],[[1,1,2,
1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,
2,2,1,7,1,6,1],[8,2,5,-1,8,-2,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,
1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,
1,7,1,6,1],[8,1,5,-1,8,-2,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,
3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1,8,-2]]],[[[1,
1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,2,3,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,-1,2,-1,3,1,2,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,1,1,4,1,3,1,2,1,
3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,1]]],[[[1,1,2,-1,1,1,2,
1]],[[2,1,1,1,2,-1,1,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,
2],[6,1,5,1,6,-1,5,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,2,4,
-1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[3,2,2,2,
3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,1,3,2,4,-1]],[[1,1,
2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,2]],[[2,2],[1,
1,2,1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,2,2,2,4,1,2,1,
1,1]]],[[[1,1,2,1],[2,2,3,1,2,1,1,1,2,1,3,2]]],[[[2,1,1,1],[3,1,2,2,3,-1,2,-1,
1,1,2,-1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,3,1,1,2,1,1,1]],[[1,1,2,1],[3,
1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-3]],[[1,1,2,1],[3,1,2,
1,1,1,2,-1,3,-1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
2,2],[5,1,3,1,4,1,2,1,1,1,4,1,3,1,5,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,1,1,4,1,3,1,2,1,4,1]]],[[[1,1,
2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[2,1,1,1,2,-1,1,1]]],[[[1,1,2,-2,1,1,2,-1,
1,1,2,3]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,
1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,5,1,8,2,5,-1,8,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,2,5,-1,8,-2,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,1],[1,1,2,-1,5,-1,3,-1,4,-1,3,-1,5,-1,4,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,
1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[2,1,1,1],[1,1,
2,-3,1,1,3,3]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,2,1,
1,1,4,1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,1,1,2,2,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,2,2,-1,3,1,4,1]]],[[[2,2,
1,1,2,-1,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2]]],[[[1,1,2,1],[
2,1,1,1],[2,2,3,1,4,1,3,-1,4,-1,2,-1,4,-1],[1,1,2,-1,1,1,2,1],[5,1,6,-3]],[[1,
1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,-1,4,-1,2,-1,4,-1],[1,1,2,1],[2,1,1,1,6,-2,2,
-1,6,1,2,1],[7,1,5,1,7,-1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,2,-2,3,
2,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]]],[[[
1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[6,1,5,1,6,1,5,1,4,1,5,1,
6,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,-1,5,-1,4,-2,5,
-1,4,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,-3,5,2]]],[[[1,1,
2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,1],[6,1,7,1,4,
-1,7,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,2,
6,1]],[[1,1,2,1],[3,2,2,1,3,1,2,2],[4,2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,
2,-2,1,1,2,2],[5,1,4,1,5,-1,4,1,5,1,4,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,1,1,
1,2,-2,1,1,2,2],[5,1,4,2,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,
2],[4,1,5,2,4,-2,5,1,4,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[
4,2],[6,1,5,1,6,1,5,1,4,1,5,1,6,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,
1,2,2],[4,2],[6,-1,5,1,6,1,5,-1,4,-1,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,1,
1,1,2,-2,1,1,2,2],[5,1,4,2,5,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1]],[[2,1,
1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
-1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,
6,1],[5,-1,7,1,5,1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1],[2,1,1,1],[5,2,2,-2],[
4,1,6,1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1],[2,1,1,1],[5,2,2,-2],[6,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,5,1,8,2,5,-1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,
1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[
5,-1,8,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[4,1,5,1,3,2,5,1,4,1]]],[[[2,1,1,
1],[1,1,2,-1],[2,2],[4,1,5,-1,3,-1,4,1,3,-1,5,-1,2,-1,1,1]],[[1,1,2,1],[2,1,1,
1,3,-1,2,-1,3,-1,2,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1,8,1,5,-1,8,-3]],[[1,1,
2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,
7,2,2,1,7,1,6,1],[5,-1,8,1,5,1,8,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,2,
3,2,2,2,1,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,2]]],[[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,-1,
3,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,2,3,1,4,1]],[[1,1,
2,1],[3,1,2,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,3,
2,1,4,1]]],[[[1,1,2,1],[3,3,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1],[4,1,5,
2,4,1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-1,2,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,
1,1,2,1,1,1,3,1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[1,1,
2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[1,1,2,1],[1,
1,2,-2,3,-1,2,2,1,1,3,1]]],[[[2,1,1,1],[3,2,2,-2,1,1]],[[2,-1,1,1,2,1]],[[2,1,
1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[2,2,1,1,
2,-1,1,1,2,-2,1,1,2,1]],[[1,1,2,-3,1,1,2,3,1,1]],[[1,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,2,3,1,4,-1,3,-2,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,
1],[4,2,2,-1,3,-1,1,1,2,-1,3,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[
1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[7,1],[5,1,8,1],[8,1,9,1,5,1,9,1]],[[2,1,1,
1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[5,-1,7,1,
5,1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,
1],[7,1],[5,1,8,1,5,1,8,1,5,1,8,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,
1],[5,2,2,-2],[4,1],[6,1],[7,1,8,1,7,1,8,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,
4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[7,1],[5,1,8,1],[8,1,9,1,5,1,9,
1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,-1]],[[2,1,
1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[7,1],[5,
1,8,1,5,1,8,1,5,1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-3,4,-1,3,2,2,1,4,1]],[[
1,1,2,1],[1,1,2,-1,3,1,2,1,3,3,2,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,1,5,1,4,1]],[[1,
1,2,1],[2,1,3,2,2,1,1,1],[4,-3]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,2]],[[2,
2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]]],[[[
1,1,2,1],[3,2,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1]],[[2,
1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,
4,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,-2,3,
-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,
1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1],[5,1,8,1],[10,1,9,-1,10,-1,
8,-1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,5,-1,8,-2,5,1,8,1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,
7,1,6,1],[5,1,8,2,5,1,8,-2,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,
1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,2,5,1,8,-2,5,
-1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[6,2,2,-2],[7,1],[5,
1,8,-3,5,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,
-1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,
1],[5,-1,7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,2,3,1,4,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,
3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[5,1,7,1],[7,1,5,1,7,1,8,1,5,
-1,8,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,
-1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,
1],[5,1,7,1],[7,1,5,-1,8,-1,7,1,8,1,5,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,
1,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-3]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,
2]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,
1],[7,1],[8,1,5,-1,8,1,5,1,8,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,
1],[5,2,2,-2],[4,1,6,1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[
1,1,2,-2,6,-1,2,2,6,1],[5,1,7,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,2,
1,4,-1,3,1]],[[2,1,1,1],[1,1,2,3],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,
1],[1,1,2,-2,1,1,2,2],[4,2],[4,1,5,1,6,-1,5,1,4,1,5,-1,6,-1]],[[1,1,2,1],[2,1,
3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[6,1,5,1,6,-1,5,-1,4,-1]]],[[[1,1,2,1],[
2,1,3,2,2,1,1,1],[4,2],[1,1,2,-2,1,1,2,2,4,1],[5,1,6,1,5,1,6,1]],[[1,1,2,1],[
2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,3,2,2,
1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,2,5,-1,4,2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[
1,1,2,-2,1,1,2,2],[5,1,4,-1,5,1,4,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,
1,1,2,2],[5,1,4,2,5,-1,4,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,
2],[4,2],[6,1,5,1,6,-1,5,-1,4,-1,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,
-2,1,1,2,2],[4,2,5,1,4,1,5,1,4,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,
1,2,2],[4,1,5,1],[5,1,6,-1,5,1,6,1,4,2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,
2,-2,1,1,2,2],[4,2],[6,1,5,1,6,-1,5,1,4,-1,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,
1],[1,1,2,-2,1,1,2,2],[4,2],[6,-1,5,-1,4,-1,5,-1,6,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,3,1,2,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,2,
-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[
2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,2,5,1,8,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[
3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,
1],[5,-1,8,2,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,5,-1,8,2,5,1]]],[[[2,1,
1,1],[2,1,3,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,
2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,2,5,-1,4,2]],[[1,
1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[2,
1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,1],[5,1,6,-2,5,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,4,-1,3,-1,2,-1,3,-1,4,1,3,2,2,1]],[[1,1,2,1],[1,1,2,-2,3,-2,
2,1,3,2,2,1,1,1]]],[[[2,1,1,1],[3,1,1,1,2,3,1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[
1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,
2,2],[5,1,4,1,5,1,4,-2,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,
2],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,3,2,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[2,1,1,1],[1,1,2,
-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,
3,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,
1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,2,-1,3,-1,2,-1,3,-1,5,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,1],[1,
1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,2,1,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[2,1,1,
1],[1,1,2,3],[4,1,3,1,4,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,
-1,2,-1,3,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,
2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,3,2,4,1]],[[1,1,
2,1],[2,1,1,1],[3,2,2,1,4,1,3,2,4,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
2,2,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,-2,1,1,2,3,1,1,2,-1]],[[2,1,1,1],[2,1,3,
-1,1,1,2,1,3,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,5,-1],[9,1,8,1,9,1,8,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1,8,-2,5,-1,8,1,5,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,-1,1,1,2,-2,3,-1,4,1]],[[2,2,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,
1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1,
2,-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,-1,3,1,2,2,1,
1]],[[1,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,1,1,3,
-1,2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1]]],[[[1,1,2,1],[3,1,2,1,1,
1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-2,2,-1]],[[1,1,2,1],[3,1,1,1,
3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,4,1,3,1]],[[1,1,2,
1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,
-1,4,-1,2,-2]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2]],[[1,1,
2,-2,1,1,2,-1,1,1,2,3]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,-1]]],[[[2,1,1,
1],[1,1,2,-1],[2,2,1,1,2,1],[4,1,3,-1,5,-1,4,1,5,-1,3,-1]],[[1,1,2,1],[2,2,1,
1],[4,1,3,2,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,
2,2],[4,1,6,1],[6,1,7,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,
1],[5,2,2,1,5,1,2,2],[4,1,6,2,4,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[
1,1,2,1],[2,2,3,1,2,1,3,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,1,
2,3,1,1]],[[2,1,1,1],[2,2],[1,1,2,-1,3,-1,4,-1,1,1,2,1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
2,2,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,-3,1,1,2,1,1,1,2,2]],[[1,1,2,1],[3,1,2,2,
1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,
5,1,2,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,1]],[[1,1,2,1],[3,2,2,1,3,1,2,2],[4,
2]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,-1,
4,-1,6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,4,1,3,1,2,1,3,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,1,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[1,1,2,-2,3,3,1,1,2,-1]],[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,2,-1,3,-1,2,2,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-2,3,-2,4,-2,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,4,1,3,
1,2,1,3,1]]],[[[2,1,1,1],[1,1,2,-3,1,1,2,1,3,2]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,
3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,1,4,-1,3,1,4,1]],[[1,1,2,
3],[1,1,2,-1,3,-1,2,1,1,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,
-1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,4,1,2,1,1,1]],[[2,
1,1,1],[1,1,2,-1],[2,1,3,2],[5,1,4,-1,5,1,4,-1]]],[[[2,1,1,1],[2,2,3,1,2,1,3,
1,2,-1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,2,2,
1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[6,1,5,-1,6,1,5,1,4,1,5,1,6,1]],[[1,1,2,-2,1,
1,2,2],[3,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,1,4,-2,5,
1,4,-1]]],[[[2,1,1,1],[1,1,2,-1],[2,2,1,1,2,1],[3,1,5,-1,4,2,3,-1,5,-1]],[[1,
1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,-1,
3,1,2,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,3,1,2,1,3,1]],[[
1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,1,1,
2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1,8,2,5,-1,8,1,5,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,2,2,1,4,1,3,1],[5,-4]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,
2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,
-2],[9,2,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,
1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1,8,-1,5,1,8,-1]],[[1,1,2,1],[
2,1,1,1],[2,1,3,2,4,2,2,1,4,1,3,1],[5,-4]]],[[[2,1,1,1],[3,1,2,2,1,1,2,1,1,1,
2,-1,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,-1,2,-1,3,-1,4,1,2,-1,3,1]]],[[[
1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[2,1,1,1],[2,1,3,
-1,2,-1,1,1,3,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,
1,6,1],[5,-1,8,-3]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,
1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,5,-1,8,2]]],[[[1,1,2,1],[1,1,
2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,2],[7,2,4,-2]],[[1,1,2,
1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,1,6,2,4,-1,6,
1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,1],[
7,2,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,
2],[4,1,6,1],[7,1,6,1,4,-2,6,1,4,1,7,-1]],[[1,1,2,1],[3,2,2,1,3,1,2,2],[4,
2]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,2,1,1,1,2,1,3,2]],[[2,1,1,1],[2,2,1,1,2,
1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,2,-1,3,-1,5,2,3,2,2,
1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,4,1,5,-1,3,1,4,2,5,
-1]],[[2,2,1,1,2,-1,1,1,2,-2,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,
1,2,1,3,1,2,1,1,1]],[[1,1,2,-2,1,1,2,-1,1,1,2,3]],[[1,1,2,1],[2,1,1,1],[2,2,3,
1,4,1,3,-2,2,-1,4,-1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,2,3,1]],[[1,1,2,1],[3,1,1,
1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,-1,2,-1,3,-1,4,
-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,-3,1,1,2,1,1,1,2,2]]],[[[
1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,1],[6,1,7,
-1,4,1,6,1,7,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,
2],[4,2],[6,-1,4,1,6,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[4,2]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1,3,-2,
2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,
1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,1],[6,1,7,1,6,1,
7,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,
-1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,
1,6,-2,4,-1,6,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,
2],[6,2,4,2,6,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,
2,2],[4,1,6,2],[7,1,4,2,7,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,
2,2,1,5,1,2,2],[4,1,6,1,4,-1,6,-1,4,1,6,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,
2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,1],[7,1,4,1,6,1,7,1]]],[[[1,1,2,1],[1,1,
2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,2],[7,1,4,2,7,1]],[[1,1,
2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,1],[7,-3,6,
1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,
2],[7,1,4,2,7,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,
2],[6,1,4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,
2,1,5,1,2,2],[6,1,4,-1,6,-1,4,1,6,1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,
2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,1],[6,1,7,-1,6,1,4,1,7,-1]],[[1,1,2,1],[
1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,2,4,1,6,2,4,1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,2,2,3,1,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,3,1,1]]],[[[1,1,2,
1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,2],[7,1,6,-1,7,-1,4,
1,6,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,
1,6,1,4,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,
2,4,-1,6,-2,4,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,1,1,3,-1,4,2,3,2,2,1]],[[
1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,-2,2,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,
2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,-1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,
-2,3,-1,2,1,3,2],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,
-2,5,1,2,-1,3,1,4,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,1,1,1],[1,1,2,
3],[4,1,3,2,4,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,
2,1],[3,1,2,1,3,1,1,1,2,-3]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[2,2],[3,1,5,1,4,2,5,1,3,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,
-1,3,1,2,1,3,1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,
2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,2,2,3,1]]],[[[2,1,1,1]]],[[[1,1,2,
1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,
1]]],[[[1,1,2,1],[2,1,3,2,1,1,2,-3]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,2,3,1,4,1]],[[1,1,2,-1],[2,1,1,1,2,2,1,1,2,
1],[4,1,3,2,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,3,1],[2,1,1,1],[2,2,1,1,2,1],[5,
1,6,1,5,-1,6,-1],[4,1],[7,1],[9,1,8,1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,4,-1,3,2,4,1],[2,1,1,1],[2,2,1,1,2,1],[6,1,7,1,6,-1,7,-1],[5,1,8,1]]],[[[1,
1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,4,
-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,1,1,4,1,3,1,2,1,3,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,4,2,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,
1],[1,1,2,-1,5,-1,3,-1,4,-1,3,-1,5,-1,4,-1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,
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5,-1]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-1,2,-2,4,3,2,-1,3,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,2,2,3,3,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,
1,5,1]]],[[[2,1,1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,
5,-2,4,1,2,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,-2,2,-1,8,-2,2,-2,7,-1],[
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-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,-2,2,-1,8,-2,2,-2,7,-1],[6,1,9,-1,6,1,9,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,2,3,-1,2,-2]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-3,4,-1,3,2,2,1,
4,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,1,2,1,3,2,1,1,2,1,1,1,4,-1]],[[1,1,2,1],[
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4,1,2,1,4,1,3,1,4,-1]],[[1,1,2,-1,1,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,
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1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,3,1,2,1,3,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[2,
1,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,
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1,3,1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[1,1,2,-2,3,2,2,1,1,1,2,-1]],[[2,1,1,
1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,
1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,
1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,
1],[3,1,1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]]],[[[1,1,2,1],[3,2,
2,1,1,1,2,-2,3,-1],[1,1,2,-1],[5,2,2,-2,1,1,2,1,1,1],[4,1],[6,1],[7,1,8,1,7,
-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,
1,1,1],[6,1,2,1,6,1,2,1,7,1,6,-1,7,1],[5,1,8,1],[8,1,9,2]],[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,1],[6,2,2,1,1,1,2,-2,6,-1],[5,1],[8,
2,7,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,1],[
6,2,2,1,1,1,2,-2,6,-1],[5,1],[7,1],[9,1,8,1,9,1,8,2,9,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,-1],[6,2,2,-2,1,1,2,1,1,1],[7,1],[
8,1,5,1,8,-1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,
1],[6,2,2,1,1,1,2,-2,6,-1],[5,1],[7,1],[9,1,8,-1,9,-1,8,2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,2,1,7,1,
6,-1,7,1],[8,1,5,1],[5,1,8,-1,9,-2]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,-1,2,-2,1,
1,2,-1,3,-2,4,-1]],[[2,1,1,1],[2,2,1,1,2,1,3,1,2,1,3,2,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[5,1,2,-1,3,-2,4,-1,3,1,2,1,3,1,4,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,2,2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,
1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[2,1,1,1,
2,-1,1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,2,5,-1,4,1,3,
2,2,1,5,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,
1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,-1,5,1,4,1]],[[1,1,2,1],[2,1,3,
2,2,1,1,1],[4,-3]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[2,1,1,1],[
2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,4,1,2,1,4,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,
1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,1,1,1,4,1,3,1,2,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,2,-2,4,-1,3,-1,4,-1,2,-1,4,-1]],[[2,
1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[
2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,-2]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,1],[6,2,2,1,1,1,2,-2,
6,-1],[5,1],[7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,
-1,3,-1,4,-1],[1,1,2,-1],[6,2,2,-2,1,1,2,1,1,1],[7,1],[8,1,5,1,8,-1,5,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,
2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,1],[6,2,2,1,1,1,2,-2,6,-1],[5,1],[8,2,7,-1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-2,3,1,2,1,3,1,4,1,5,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[4,1,5,1,3,2,5,1,4,-1]]],[[[1,1,2,1],[1,1,
2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,4,
-1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[2,1,1,1],[1,1,2,-2,3,-1,
1,1,2,1,3,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1,2,
-1,3,-2,2,2]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[1,1,2,-1,
3,2,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[2,1,1,1],[2,2],[1,1,2,
-1,3,-1,4,-1,1,1,2,1,4,1,3,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1,3,2,4,2,3,-1,2,-2]],[[2,1,1,1],[3,2,2,-2,1,1]],[[2,1,1,
1],[2,2],[1,1,2,-1,3,-1,4,-1,1,1,2,1,4,1,3,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,
3,-1],[1,1,2,-1],[5,2,2,-2,1,1,2,1,1,1],[4,1],[6,1],[7,1,8,-1],[9,2,7,1,8,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,1],[6,2,2,1,1,
1,2,-2,6,-1],[5,1],[7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,
4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,2,1,7,1,6,-1,7,1],[8,1,
5,1],[5,1,8,-1,9,-2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,-1],[1,1,2,-1],[5,2,2,
-2,1,1,2,1,1,1],[4,1],[6,1],[7,1,8,-1],[9,1,7,1,8,1,9,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[6,2,2,1,1,1,2,-2,6,-1],[7,1,5,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,-1],[6,2,2,-2,
1,1,2,1,1,1],[7,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-2,4,-1,3,-2,2,
-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]],[[2,2],[1,1,2,1,
3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[
1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,2,1,7,1,6,-1,7,1],[8,1,5,1],[5,1,8,-1,9,
-2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,-1],[1,1,2,-1],[5,2,2,-2,1,1,2,1,1,1],[4,
1],[7,2,6,-1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,
1,2,-1],[6,2,2,-2,1,1,2,1,1,1],[7,1],[8,1,5,1,8,-1,5,1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,
1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-2,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-2,4,-1,3,-2,2,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[2,2,3,1,4,1,3,-1,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,
2,1,4,-1,3,-1,2,-1,3,-1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,1,1,1,2,-1,3,-2,2,
-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,2,
3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1,3,2,4,2,3,-1,2,-2]],[[2,1,1,1],[3,2,2,-2,1,1]],[[1,1,2,1],[1,1,2,-2,
3,-1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,2,3,1,4,-1,2,-1]],[[1,1,
2,1],[3,1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,
-1,4,-1]]],[[[1,1,2,-1],[3,2,2,-1,1,1,2,3]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,
-2]]],[[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,
2,-1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,
1],[1,1,2,-1,1,1,2,-1,3,2]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,
2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]]],[[[1,1,2,1],[1,
1,2,-2,3,-1,2,2,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[2,1,1,
1],[2,1,3,-1,2,-1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,5,-1,3,
-1,4,-1]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,-2,2,
-1,3,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,
1,4,-1,3,1,4,1,3,-1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,
4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,
2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,2,1,1,1,4,1,3,1,2,1,4,
1]],[[2,2,1,1,2,-1,1,1,2,-2,1,1,2,1]]],[[[2,2],[3,1,2,1,1,1,2,-1,1,1,3,-1]],[[
1,1,2,-2,1,1,2,2,1,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[
2,1,6,-1,2,-1,1,1,6,1],[7,1,5,-1,7,1,5,1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,
3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[7,1,5,1,7,1,5,-1]],[[1,1,2,1],[1,1,2,
-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[6,1],[7,1,4,1,7,1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,
1,6,1],[8,1,5,-1,8,-2,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,
2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,2,5,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,
7,2,2,1,7,1,6,1],[8,1,5,1,8,2,5,-1,8,1]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-3]],[[1,
1,2,-2,1,1,2,1,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,
2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[2,1,1,1],[
3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,-1,3,1,2,
2,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1,2,
-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,
1],[3,1,2,2,1,1,2,-1,3,-1,2,-1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]]],[[[1,1,
2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1],[6,1],[8,1,7,1],[7,1,
8,2,9,-2]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,
1,1,6,1],[5,1,7,1,5,-1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[
2,1,6,-1,2,-1,1,1,6,1],[5,1,7,1],[7,1,5,1,8,-2,7,1,5,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,1,4,-1,5,2,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,1,3,2,4,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1,2,2]]],[[[
1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,4,1,2,2,3,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,
1,3,2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,1,5,-1,4,1,3,1,2,1,3,
1,5,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1,2,1,1,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[2,2,4,1,5,-1,4,1,3,1,2,1,3,1,5,-1]],[[1,1,2,1],[1,1,2,-1,
3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,2,1,1,1,4,1,3,1,5,
1]],[[2,2,1,1,2,-1,1,1,2,-2,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,
1,1,1,4,1,3,1,2,1,4,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,
1,4,1,5,-1,4,1,5,1,4,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2,
5,1,4,-2,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,-1,5,1,
4,1]]],[[[2,2],[3,1,2,1,1,1,2,-1,1,1,3,-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,-2,3,3,1,1,2,-1]],[[1,1,2,1],[3,1,2,2,1,
1,2,-1,3,-2]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,-2,1,1,2,
2]],[[2,1,1,1,2,-1,1,1]],[[1,1,2,1],[2,-1,3,1,1,1]]],[[[2,2,1,1,2,-2,1,1]],[[
2,1,1,1,2,-1]],[[1,1,2,1],[2,-1,3,1,1,1]]],[[[2,1,1,1],[1,1,2,-3,1,1,2,1,3,
2]],[[2,1,1,1],[3,2,2,-2,1,1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,2,-2,3,
1]],[[1,1,2,-1],[3,2,2,-1,1,1,2,3,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[4,1,3,1,5,1,2,1,1,1,4,1,5,1,3,1]],[[1,1,2,
1],[2,1,1,1],[3,2,2,1,4,1,2,2,3,1,4,1,2,1,1,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,
1],[1,1,2,-2,1,1,2,2],[4,1,5,1,4,1,5,-1,4,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,
1,2,-2,1,1,2,2],[4,2],[6,1,5,1,6,-1,5,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,
2,-2,1,1,2,2],[5,2,4,-1,5,1,4,1,5,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,
1,1,2,2,4,-3]]],[[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,-1,4,2,3,1]],[[1,1,2,
1],[2,1,1,1],[2,2,3,1,4,1,3,-2,2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,
1,2,1],[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,5,1,6,-1,7,2,2,-1,5,1,6,1],[8,1,4,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,4,1,3,2,2,1]]],[[[2,1,1,1],[3,1,
2,2,3,-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],[3,2,1,
1,2,-1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,-1,4,-1]],[[2,1,1,1],[1,1,
2,3,3,-2,2,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[1,1,2,
-1],[4,2,3,1,2,1,1,1,2,1,3,2]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-3]]],[[[1,1,2,
-2,1,1,2,-1,1,1,2,3]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[2,1,1,1],[3,1,1,1,
2,1,3,-1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,2,4,1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[2,1,3,2,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,3,3,1,1,2,1,1,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[2,1,3,2],[5,1,4,-1,6,-1,5,1,6,-1,4,-1]],[[1,1,2,1],[
3,1,1,1,3,-1,2,1,1,1,2,-1]],[[2,4],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[3,2,2,1,1,
1,2,-3]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,1,4,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,
1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-2,3,-2,2,-1]],[[1,1,2,-3,
1,1,2,3,1,1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[3,1,2,1,
3,1,1,1,2,-3]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2]]],[[[2,2,1,1,2,-2,1,1]],[[2,
1,1,1,2,-1]],[[1,1,2,-1,1,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2]],[[
2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[1,1,
2,-1,4,-1,5,-1,3,-1,4,-1,3,-1,5,-1]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,3,
2,2,1,1,1],[4,2],[4,1,1,1,2,-2,1,1,2,2],[5,1,6,1,5,1,6,-1]],[[1,1,2,1],[2,1,3,
2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[5,1,6,-1,5,1,4,1,5,1,6,1]],[[1,1,2,-2,1,
1,2,2],[3,2]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,2,1,1,1,4,1,3,1,5,
1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,1,2,1,1,1,4,1,3,1,2,1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,
1],[5,2,2,-2],[6,1],[7,1,4,1,7,1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[
1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[5,-1,7,1,5,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,
2,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,
1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,5,1,8,2,5,-1,8,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,2,2,1,4,1,3,1],[5,-2]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,
1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1,8,-2,5,1,8,
-2]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,
6,1],[7,1,5,-1,7,1,5,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,
-2],[4,1,6,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[6,1,5,
-1,4,-1,5,-1,6,1,4,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,
1],[5,1,6,2,5,1]],[[1,1,2,-2,1,1,2,2],[3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,3,1,1,4,1,2,1,3,2]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-2]]],[[[2,1,1,1],[1,1,2,
3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[5,1,7,1,5,-1]],[[1,
1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,-1]],[[1,1,2,1],[1,
1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,1]]],[[[1,1,2,1],[2,1,3,2,2,
1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[5,1,4,1,5,1,6,1,5,1,6,-1]],[[1,1,2,1],[2,1,3,
2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2,5,1,4,1,5,-1,4,-1]],[[1,1,2,1],[2,1,3,2,2,
1,1,1],[1,1,2,-2,1,1,2,2],[4,2,5,1,4,1,5,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,
-1],[5,1,8,1],[9,1,8,1,10,2,9,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,1,4,1,3,
1],[5,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,
1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,1],[9,1,8,1,9,1,8,1,5,1,8,-1]]],[[[2,
1,1,1],[1,1,2,3],[4,1,3,2,4,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[2,1,
1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,
1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1],[5,1,
8,1,9,1,8,1,5,-1,8,1,9,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,1,4,1,3,
1]]],[[[1,1,2,-2,1,1,2,-3,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,
1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[6,1,5,-1,4,-1,5,-1,6,1,4,
1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,-1,4,1,5,1]],[[1,1,
2,-2,1,1,2,2],[3,2]]],[[[1,1,2,1],[2,1,1,1],[3,2,4,1,2,1,1,1,4,1,2,2,3,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,
1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1,8,-2,5,
-1,8,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,1,5,1,8,1]]],[[[1,1,2,1],[1,1,2,
-1],[3,1,2,1,3,1,2,1,1,1],[4,1,5,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,
4,1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,
1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,-1],[9,1,8,-1,5,1,9,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,
7,2,2,1,7,1,6,1],[5,-1,8,1,5,-1,8,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,
-2,1,1,2,2],[5,1,4,1,5,1,4,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,
2],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,3,2,2,
1]],[[2,1,1,1],[1,1,2,3],[3,1,4,2,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,
-2,1,1,2,2],[5,1,4,1,5,-1,4,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,
2],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,1,1,2,-2,3,-1,
4,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,-1,4,1,3,1,2,1,3,1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-2,4,-1,
5,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,4,1,2,2,3,1]],[[
1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,4,-1,3,-1,2,-1,3,-1,5,1,4,-2,3,-1]],[[1,1,2,3],[1,1,2,-1,3,-1,2,1,1,
1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,2,3,-1,2,-2]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,2,3,3,4,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[2,1,
1,1],[1,1,2,2,3,1],[3,1,4,-1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,
1,4,-1,3,-1,2,-1,3,-1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,
-2,4,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,1,1,2,-2,3,-1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,2,2,5,-1,4,1,3,2,2,1,5,-1]],[[1,1,
2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,1,5,
-1,4,1,3,1,2,1,3,1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,
-1,3,-1,5,1,4,-2,3,-1]],[[1,1,2,3],[1,1,2,-1,3,-1,2,1,1,1,3,1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,1,2,1,4,2,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,2,1,1],[4,1,3,2,
4,1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,
3,1,4,1,3,1,2,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[
1,1,2,-2,3,-2,2,-1,3,-1]],[[2,2],[3,1,2,1,1,1,3,1,1,1,2,1]]],[[[1,1,2,1],[2,1,
1,1],[2,1,4,1],[5,1,3,-1,4,2,5,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,
1,4,-1,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,4,1,5,-1,3,1,
4,-2,5,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,
1,1,2,-1,3,-1,2,-2,3,-1,2,1,4,-2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1,3,-1]],[[1,1,
2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,
1,2,1],[2,1,1,1],[2,1,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,
1,4,-1,5,1,4,1]],[[2,2],[2,1,1,1,3,1,1,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,-1,3,2,4,1]],[[1,1,2,1],[2,2],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[5,1,3,-1,2,-1,3,-1,4,-1,5,1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,-1,4,1,3,-1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,-2,4,
1,2,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,-2,2,-1,8,-2,2,-2,7,-1],[6,1,9,2,
6,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,-2,4,1,2,-2,3,-1],[
6,-3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,4,2,2,2,3,1,5,1],[1,1,2,1],[
2,1,1,1],[8,1,2,2,7,1,8,-1,7,-2,2,-1],[6,1],[10,-2,9,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-2,3,1,2,1,3,1,4,1,5,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,
4,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,2,3,1,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,
1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]]],[[[2,2,1,1,2,-1,1,1,2,1]]],[[[1,1,2,
1],[1,1,2,-2,3,-1,2,1,3,1,2,1,1,1]],[[2,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1],[2,1,3,1,4,-1,5,2,2,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]],[[2,1,1,1],[2,2],[1,1,2,-1,3,-1,4,-1,1,1,2,
1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,4,2,3,2,2,1]],[[1,1,2,1],[3,
1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[2,1,1,1],[1,
1,2,-1],[1,1,2,3],[3,1,5,-1,4,2,5,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-2,2,-1]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,
1,1,2,-2,3,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2]],[[1,1,2,1],[3,1,1,1,3,-1,2,
1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,1,1,4,1,5,-1,3,1,2,1,3,1,
4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,2,3,1,4,-1,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,-1,3,1,2,3,1,
1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[2,2],[1,1,2,1,3,1,1,1,2,
-1,3,-1]],[[1,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[2,1,1,1],[1,1,2,
3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[7,1],[5,1,8,1,5,1,8,
1,5,1,8,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,
-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1],[6,1],[7,1,
8,-3,7,1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,
2,2,6,1],[5,-1,7,1,5,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,2,1,1,1,3,1,4,1]],[[
2,1,1,1],[2,-2,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,4,-1,
2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1],[1,
1,2,-2,3,2,2,1,1,1,2,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-3,4,-1,3,2,2,1,4,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-3]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,
1,1,2,2],[5,1,4,-1,5,-1,4,1,5,1,4,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,
1,1,2,2],[4,1,5,-1,4,2,5,1,4,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,-3]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1,2,
-1],[3,1,4,1,3,-1,4,1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]]],[[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-1,4,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,1,4,-1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,
-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,1,4,-1,3,1,4,1]],[[2,1,1,
1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,
1]]],[[[2,1,1,1],[1,1,2,-1,3,-2,2,-1,1,1,2,3,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,
4,2,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-2,3,2,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,
-2,1,1,2,-1,3,1,2,1,3,1]],[[2,2],[2,1,1,1,3,2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,
1],[1,1,2,-2,1,1,2,2],[5,1,4,2,5,-1,4,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,
-2,1,1,2,2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,
2],[4,2,5,1,4,2,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,
-1,4,-1,5,-1,4,-2]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,2,3,1]],[[1,1,2,1],[2,1,1,1,
2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,3,3,1,2,2]],[[1,1,
2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,
-2,1,1,2,2],[4,2,5,-1,4,-1,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,
2,2],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,
1,4,-1,5,-1,4,2,5,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,
1,5,1,4,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,2,1,1,2,-2,1,1,2,2,4,-1]]],[[[1,1,
2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2,5,1,4,2,5,-1]],[[1,1,2,1],[2,1,
3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,-3,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,-1,4,2,2,1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,
-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[
2,1,1,1,3,-1,2,-1,3,-1,2,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-3]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,-1,4,-1,2,-1,4,-1,2,-1,3,-2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,2],[
5,1,3,1,4,1,2,1,1,1,4,1,3,1,5,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,
-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
2,-1,3,1,2,1,4,-1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[2,1,1,1,2,1,1,1,2,
-1,1,1,2,-1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[2,1,1,1],[1,1,2,-1],[1,1,2,1,1,1,3,
1,4,-2,3,1,2,-2]],[[1,1,2,1],[2,1,3,1],[2,1,1,1,3,-1,4,-2,3,-1]],[[2,1,1,1],[
1,1,2,-1],[4,2,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,
1,3,-1,5,-1,4,-1]],[[1,1,2,-2,1,1,2,-1,1,1,2,3]],[[2,1,1,1],[3,1,2,2,3,-1,2,
-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,
1],[6,2,2,1,1,1,2,-2,6,-1],[5,1],[8,-3,7,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,2,1,4,1,3,-1,4,1],[1,1,2,1],[6,2,2,1,1,1,2,-2,6,-1],[5,1],[8,1,7,1,8,2]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,-1],[6,2,2,-2,1,1,2,1,1,1],[7,1],[8,-1,
5,1,8,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,-1,1,1,2,1]],[[2,
2],[1,1,2,1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,-2,1,1,2,2,
1,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,-2,1,1,2,2]],[[2,2,1,1,2,-2,1,1]],[[2,1,1,1,
2,-1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1]],[[2,2,1,1,2,-2,1,1]],[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,-1,1,1,2,-1,1,1,2,2]],[[2,2,1,1,
2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,2,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,1],[1,1,
2,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,2,2,1,
1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,6,-1,5,2,6,
1,4,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1]],[[2,1,1,1],[1,1,2,-1],[2,1,3,2,4,-1,2,2,3,-1,
4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,
1,1],[6,3,2,1,7,2],[5,1,8,-1,5,1,8,1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,3,2,1,
4,2],[2,1,1,1],[6,1,2,2,6,-1,2,-1,1,1,2,-1],[5,1],[7,1],[9,1,8,-1,9,1,8,
1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1,
2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,
2,1,5,1,2,2],[4,1,6,1,4,-1,6,1,4,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,
2,1],[5,2,2,1,5,1,2,2],[6,1,4,1,6,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,
1,4,2,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,
1,6,1],[5,1,8,1,5,-1,8,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,1,4,1,3,
1],[5,4]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,
1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,5,-1,8,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,2,1,4,2,3,-1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,4,1,2,2,3,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[2,1,3,1],[4,1,3,-1,6,-1,5,2,3,1,6,1,4,1]],[[1,1,2,3],[1,1,2,
-1,3,1,2,1,1,1,3,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1]],[[1,1,2,-1,1,1,2,
1,1,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,3,-1,4,1,3,1,2,2,4,-1]],[[2,-1,1,1,2,1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[
2,2],[5,1,3,1,4,1,2,1,1,1,4,1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,
2,5,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,2,3,2,2,1,4,2]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,2,3,1,4,-1]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]],[[1,1,2,1,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]]],[[[1,1,2,-2,1,1,2,-1,1,1,2,
3]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,1],[1,1,3,-2,2,2,1,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,1],[6,2,2,1,1,1,2,-2,6,
-1],[5,1],[8,2],[9,1,7,-1,9,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,
3,-1,4,-1],[1,1,2,-1],[6,2,2,-2,1,1,2,1,1,1],[7,1],[5,1,8,1,5,1,8,-1]],[[1,1,
2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[6,1,2,1,
6,1,2,1,7,1,6,-1,7,1],[5,1,8,-3]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,5,
-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[3,1,5,1,4,1,5,1,3,1]]],[[[1,1,
2,1],[2,1,3,1],[4,1,2,1,1,1,4,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[1,1,2,-1,5,-1,3,-1,4,-1,3,-1,5,-1,4,
-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
2,3,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,4,2,2,1,3,2]],[[
1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,1]],[[2,1,1,1],[1,1,2,3],[3,1,4,
-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,3,2,2,1]],[[1,1,2,
1],[2,1,1,1],[4,1,1,1,2,-2,3,2,4,2]]],[[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[
2,1,1,1],[3,2,2,-2,1,1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-2,
3,1]],[[1,1,2,1],[3,1,2,2,1,1,3,-2,2,-1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,
2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,1],[7,1,4,-1,6,-1,7,1,6,
1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,-1,
6,-1,4,1,6,-1,4,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[4,2]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,1],[6,2,2,1,1,1,2,-2,6,-1],[5,
1],[7,1],[9,1,8,-1,9,-1,8,1,9,1]],[[1,1,2,-1],[3,2,2,-2,1,1,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,
1,2,1,7,1,6,-1,7,1],[5,1,8,1],[9,2,5,1,8,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,
3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,2,6,2,4,2,6,1]],[[1,1,2,1],[1,1,2,-2,3,-1,
2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,-2,4,-1]],[[1,1,2,1],[1,1,2,-2,3,
-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,1],[7,2,6,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,1,2,1,1,1,4,1,2,1,4,1,3,1]],[[2,1,1,1],[3,2,2,-2,
1,1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,-2,3,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,2,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,2,2,-2,3,-1]]],[[[1,1,2,1],[1,1,2,
-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,1],[7,2,4,1,6,-1]],[[1,1,
2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,-1,4,-1,6,1,4,
1]],[[1,1,2,1],[3,2,2,1,3,1,2,2],[4,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,
4,-1,1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,3,-1,2,-1,3,-1,
4,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,
-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]]],[[[1,1,2,1],[2,
1,1,1],[1,1,2,-1,3,-1,2,-2,4,-1,3,-1,2,-1,3,-1,4,-1]],[[2,2],[3,1,2,1,1,1,2,
-1,1,1,3,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-1],[2,1,3,1,4,-1,5,2,2,-1,3,1,4,1]],[[1,1,2,3],[1,1,2,-1,3,-1,2,1,1,1,
3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,2,1,4,2,3,1,2,3,1,1]],[[2,1,1,1],[1,1,2,-1],[2,1,3,2],[5,1,4,-1,5,1,4,
-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,4,1,2,1,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,1]]],[[[
2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,3,1,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,
1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,2,3,1,4,1,2,1,1,1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,4,-1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,1,2,1,4,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,1,2,1,4,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,-2,1,1,2,-1,1,1,2,
3]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,3,-1,2,-1,3,
-1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,1,2,1]]],[[[2,1,1,1],[2,2],[1,1,2,
-1,3,-1,4,-1,1,1,2,1,4,1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,1,1,2,-3]],[[1,1,2,-3,
1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,1,4,1,2,1,1,1,4,2,2,-1,3,-1]],[[1,
1,2,1],[1,1,2,-1,3,-2,2,-1,3,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,1,
4,2,2,2,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,3,
-1,2,-1,3,-1,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-1,2,
-1,3,1,2,2,4,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[3,1,
2,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,
2],[4,2],[6,-1,5,1,6,-1,4,-1,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,
1,2,2],[4,1,5,1],[6,1,4,2,5,1,6,1]],[[1,1,2,-2,1,1,2,2],[3,2]]],[[[2,1,1,1],[
1,1,2,-3,1,1,3,3]],[[2,1,1,1],[1,1,2,3,3,-2,2,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,
1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,4,1,5,-1,2,2,3,1,4,1,
5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,-3,4,-1]]],[[[2,1,1,1],[2,2,1,
1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,-2,1,1,2,-1,1,1,2,3]],[[1,1,2,1],[3,1,1,1,
3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,1,1,4,1,2,1,3,2]],[[1,1,2,1],[3,1,1,1,3,
-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,
2,2],[4,1,6,1],[7,-3,6,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,
2,1,5,1,2,2],[4,1,6,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,
1],[5,2,2,1,5,1,2,2],[6,2,4,2,6,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,
2,1],[5,2,2,1,5,1,2,2],[4,1,6,1],[4,1,6,-2,7,-2]],[[1,1,2,1],[3,2,2,1,3,1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-1,2,-1,3,-1,4,1,2,-1,3,-2]],[[1,
1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-1],[4,1,2,-1,3,
-2,2,1,1,1,3,1,2,2,4,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2]]],[[[2,1,1,1],[2,
2,1,1,2,1],[4,1,3,-2,4,-1]],[[2,1,1,1],[2,-2,1,1,2,2]]],[[[1,1,2,1],[1,1,2,-2,
3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-1,2,-1]],[[1,1]]],[[[1,
1,2,1],[1,1,2,-2,3,2,2,1,1,1,2,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2]],[[2,
4],[3,1,2,1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,2,-2,4,-1,3,-1,4,
-1,2,-1,4,-1]],[[1,1,2,-3,1,1,2,1,1,1,2,2]],[[2,1,1,1],[2,-2,1,1,2,2]]],[[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,3,1,2,2,4,1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,2,-1,3,-1,4,3,3,-1,5,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,
1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,2,-1,3,-1,4,
-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,4,-1,3,-2,2,2,3,1,4,1]]],[[[1,1,2,-1],[2,1,1,1,2,2,1,1,2,1],[4,1,3,2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,-2,2,-1,3,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[5,1,3,-1,2,-2,4,-1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,
3,1,4,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,-1,4,-1,2,-1,4,-1]],[[1,
1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[1,1,
2,-1,4,-1,5,-1,3,-1,4,-1,3,-1,5,-1]],[[1,1,2,1],[1,1,2,-2,3,2,2,1,1,1,2,
-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
3,1,2,2,4,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[5,1,4,1,
5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,3,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,
1,2,1,7,3,2,2,6,1],[5,2,8,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,3,2,1,4,1],[1,1,
2,1],[2,1,1,1],[6,1,2,1,7,3,2,2,6,1],[5,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-2,3,-1,4,2,2,1,4,-1,3,1],[1,1,2,1],[2,1,1,1],[6,2],[8,1,7,-2,8,-1],[5,1,9,
-1,5,1,9,3,5,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1],[1,1,2,
1],[2,1,1,1],[6,2],[8,1,7,-2,8,-1],[5,1,9,-1],[10,2,9,-1,5,1,9,1]],[[1,1,2,
1],[2,1,1,1],[3,2],[5,1,4,-2,5,-1],[6,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
4,1,3,2,2,1,5,-2,4,1,2,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,-2,2,-1,8,-2,
2,-2,7,-1],[6,1,9,-3]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,-2,4,1,
2,-2,3,-1],[6,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-1,3,-2,2,
-1,4,-1]],[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[4,1,3,2,2,1,5,-2,4,1,2,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,-2,2,
-1,8,-2,2,-2,7,-1],[6,1,9,-3,6,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,
1,5,-2,4,1,2,-2,3,-1],[6,-2]]],[[[2,1,1,1],[1,1,2,-3,1,1,3,3]],[[1,1,2,1],[2,
2,3,1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[2,1,3,2,1,1,2,-3]]],[[[2,1,1,1],[1,1,2,
1,3,-2,2,-1]],[[2,1,1,1],[3,1,2,-1,1,1,3,-1,2,-1]]],[[[2,1,1,1],[2,2,1,1,2,
1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,1,2,1]],[[1,1,2,1],[3,
1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,-2,
4,1,2,-2,3,-1],[1,1,2,1],[2,1,1,1],[1,1,2,-1,7,-2,2,-1,8,-2,2,-2,7,-1],[9,1,6,
-2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,-2,4,1,2,-2,3,-1],[1,1,2,
1],[2,1,1,1],[1,1,2,-1,7,-2,2,-1,8,-2,2,-2,7,-1],[6,1,9,1,6,1]]],[[[1,1,2,1],[
2,1,1,1],[3,1,2,1,4,3,3,2,2,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,
1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,1,2,2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,
-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[2,2,1,1,2,-1,1,1,2,-1,1,1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,3,-1,4,1,2,-1,4,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1,2,
-1],[3,1,4,1,3,-1,4,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,
1],[3,1,4,-1,2,-1,3,1,2,1,4,-1]]],[[[1,1,2,1],[3,1,1,1,2,1,1,1,2,1,3,2]],[[1,
1,2,1],[2,1,3,1],[3,1,4,2]]],[[[2,1,1,1],[1,1,2,-1],[2,2,1,1,2,1],[3,1,5,-1,4,
2,3,-1,5,-1]],[[2,-1,1,1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-3,4,-1,3,2,2,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,2,2,2,3,1]],[[2,1,1,1],[1,1,2,3,3,
-2,2,-1]]],[[[2,1,1,1],[2,2,3,-1,1,1,2,1,3,-1,2,-1]],[[1,1]],[[1,1,2,1],[1,1,
2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-1,
1,1,2,-1,3,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,
3,2,1,1,2,-3]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,
1],[2,2,3,1,4,1,3,-2,2,-1,4,-1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,
1]],[[2,1,1,1],[3,1,2,-2,1,1,2,2,3,-1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,
1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[2,1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,
3,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,
3,1,4,-1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,-1,1,1,2,-2,3,
-1,4,1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1,2,
-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,
1],[1,1,2,1],[6,2,2,1,1,1,2,-2,6,-1],[5,1],[7,1],[8,1,9,1,8,1,9,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,-1],[6,2,2,-2,1,1,2,1,1,
1],[7,1],[8,1,5,1,8,-1,5,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,1],[6,2,2,1,
1,1,2,-2,6,-1],[5,1],[8,2,7,-1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,
-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,2,1,7,1,6,-1,7,1],[5,1,8,1],[8,
1,9,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,3,1,2,1,4,1]],[[2,-1,
1,1,2,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-2,1,1,2,-1,3,2,4,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]],[[1,1,2,1],[1,1,2,-1],[
4,1,3,1,4,1,2,-1,3,1,2,1,1,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,
1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[
1,1,2,-2,4,-1,3,2,4,1]],[[1,1,2,-1,1,1,2,1,1,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,
2,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[3,1,1,1,2,-2,
3,-1,2,2,1,1]],[[2,2,1,1,2,-1,1,1,2,-1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,3,-2,2,-1]],[[1,1,2,1],[1,
1,2,-1,1,1,2,-1,3,2]],[[2,1,1,1,2,-1,1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,2,-2,3,-1,4,-1,5,1,4,-1,3,-2]],[[1,1,2,-1],[2,2,1,1,2,2,1,
1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,4,1,5,-1,3,1,4,2,5,-1]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1],[5,1,2,-2,3,-1,4,-1,5,1,4,-2,3,-1]],[[2,1,1,1],[2,2,3,-1,1,1,
2,1,3,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,2,3,1,2,1,1,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,3,-1,4,1,
2,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]],[[
2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,1],[3,1,1,
1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[2,2],[1,1,2,
1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-1,2,-1]],[[1,
1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,
2,1,4,-1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[2,2,1,1,2,-1,1,1,2,-1,1,
1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,
1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,
-1,4,1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[2,2],[1,1,2,1,3,1,1,
1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[1,1,2,-2,3,-1,2,
2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,4,1,5,-1,4,1,2,2,5,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,
1],[2,2,3,1,4,1,2,1,1,1,4,1,2,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[
3,1,2,1,3,1,4,1,5,-1,4,1,2,2,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,
1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,2,1,1,1,4,1,3,1,5,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,2,-2,4,-1,3,-1,4,-1,2,-1,4,-1]],[[1,
1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,1,4,-1,2,-1,1,1,2,-2,3,1,4,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,
-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[5,-1,7,1,5,-1,7,1]],[[1,1,2,1],[1,1,2,
-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,-1]]],[[[2,2],[1,1,2,1,3,1,1,1,2,
-1,3,-1]],[[1,1,2,1],[1,1,3,-2,2,2,1,1]],[[1,1]]],[[[2,1,1,1],[2,2,1,1,2,1],[
3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]],[[2,2],[3,1,2,
1,1,1,2,-1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[4,1,3,1,5,1,4,-1,3,-1,5,
-1]],[[1,1,2,-1,1,1,2,1]],[[2,1,1,1,2,-1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,1,1,1,
2,-1,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-1],[4,1,3,1,4,1,2,-1,3,1,2,1,1,1]],[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[2,2,1,1,2,-1,1,1,2,
-1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,
1],[2,1,1,1],[5,2,2,-2],[6,1],[7,1,4,1,7,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,
1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,
1],[7,1,5,1,7,1,5,-1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,
1,2,-2,6,-1,2,2,6,1],[5,-1,7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,
1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,5,-1,8,-2,
5,1,8,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,1,4,1,3,1],[5,2]],[[1,1,2,1],[2,
1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,
7,1,6,1],[8,2,5,-1,8,2,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,
1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,2,5,-1]]],[[[1,1,
2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,2,1,1,1,4,1,3,1,5,1]],[[1,1,2,1],[1,1,2,-2,
3,-1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,2,2,1,3,2,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,2,3,1,4,1,2,1,1,1]],[[1,1,2,-1,1,1,
2,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,
6,1],[5,1,7,1,5,-1,7,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,
-2],[6,1,4,1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,
-1,1,1,6,1],[7,1,5,-1,7,1,5,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,1],[2,1,1,
1,2,-1],[3,1,4,1,3,-1,4,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]],[[2,2],[1,1,2,
1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,
2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,2,5,1,8,-2,5,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,
2,2,1,7,1,6,1],[8,-1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,
2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,5,-1,8,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,
7,2,2,1,7,1,6,1],[8,2,5,-1,8,-2,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,
1,2,1,1,1,4,1,3,1,5,1]],[[2,1,1,1],[1,1,2,-1],[2,2],[4,1,5,-1,3,-1,4,1,3,-1,5,
-1,2,-1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1]]],[[[1,1,
2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,2,-2,5,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,2,2,1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-1,2,-2,4,-1,3,-1,2,-1,3,-1,4,-1]],[[
1,1,2,1],[2,1,1,1],[3,1,2,1,4,-1,3,1,4,-1,2,-1]],[[1,1,2,1],[1,1,2,-2,3,2,2,1,
1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-2,4,-1,5,1,2,-1,3,-2,4,
-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,2,-2,3,2,2,1,4,1]],[[1,1,2,1],[3,2,
2,1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,-2,1,1,2,2]],[[1,1]],[[1,1,2,-1,1,1,2,1,
1,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[
1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,
1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]],[[2,1,1,1],[3,2,2,-2]],[[1,1,2,1],[2,1,1,
1],[4,1,3,1,4,-1,2,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,2,-1,
3,-2,4,-1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[
1,1,2,1],[2,1,3,2,2,1,1,1],[4,2],[4,1,1,1,2,-2,1,1,2,2],[5,1,6,1,5,1,6,-1]],[[
1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,1,4,1,5,-1]],[[1,1,2,1],[
2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[6,-1,5,-1,6,-1,5,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,1],[1,1,2,-1,5,-1,3,-1,4,-1,3,-1,5,-1,4,-1]],[[1,1,2,1],[
2,2],[1,1,2,-1,3,-1,4,-1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,
2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-1,2,1,4,1,3,-1,4,1]],[[2,1,1,
1],[3,1,1,1,2,3,1,1,2,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,-2,2,
-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,2,3,1,2,1,1,1]],[[2,1,1,1],[3,1,1,1,2,1,3,
-1,2,-1]],[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,1,3,2]]],[[[2,1,1,1],[1,1,2,3],[3,1,
4,2,3,1,2,1,1,1]],[[2,1,1,1],[2,-2,1,1,2,2]],[[2,1,1,1],[1,1,2,-1],[4,2,2,-1,
1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[6,1,5,
1,6,-1,5,-1,4,-1,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,
2],[6,-1,5,1,4,-1,5,-1,6,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,
2],[4,2],[6,1,5,-1,4,1,5,1,6,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,
4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-2,2,-2,3,-1]],[[
1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,
-2,1,1,2,2],[4,2],[6,1,5,1,4,1,5,1,6,1,5,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,
1,2,-2,1,1,2,2],[4,2],[6,1,5,1,6,-1,5,-1,4,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[
1,1,2,-2,1,1,2,2],[4,2],[6,1,5,1,6,-1,5,1,4,-1]]],[[[2,1,1,1],[1,1,2,3],[4,1,
3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[7,1,5,-1,7,1,5,1]],[[1,1,2,
1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,-1]],[[2,1,1,1],[1,1,2,
3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[5,1,7,1,5,-1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-2,2,-1,5,2,3,1,2,2,4,1]],[[2,1,1,1],[3,
1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[2,1,1,
1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[5,1,7,1,5,
-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[6,1,4,1]],[[2,1,
1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[5,-1,7,
1,5,1]]],[[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,1,3,
1],[1,1,2,1,4,-1,3,-2,4,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,
2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2],[5,1,4,1,5,1,6,1,5,1,6,-1]],[[
1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2,5,1,4,1,5,-1,4,-1]],[[1,1,
2,1],[2,1,3,2,2,1,1,1],[4,2],[4,1,1,1,2,-2,1,1,2,2],[5,1,6,1,5,1,6,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,
2,7,2,2,1,7,1,6,1],[5,-1,8,-2,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,
1,4,1,3,1],[5,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,
2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,1,8,-2,5,-1]]],[[[1,1,2,1],[2,1,1,
1],[3,2,2,1],[5,1,4,1,5,1,4,1]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[2,1,3,2,2,
1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,2,5,1,4,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,
1,2,-2,1,1,2,2],[4,1,5,-1,4,1,5,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,
1,2,2],[4,1,5,-1,4,2,5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,1,4,1,2,
2,3,1]],[[1,1,2,-2,1,1,2,2]]],[[[2,1,1,1],[1,1,2,-1],[2,2],[4,1,5,-1,3,-1,4,1,
3,-1,5,-1,2,-1,1,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,1],[
3,1,2,1,1,1,2,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,
2,2],[5,1,4,2,5,-1,4,-1,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,
2],[4,1,5,-1,4,1,5,1]],[[1,1,2,-2,1,1,2,2],[3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,4,-1,3,-2,2,2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,
4,-1,2,-1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,
1],[4,1,2,1,3,2,1,1,2,-3,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,
1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,-1,4,2,5,-1,4,
-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,1,5,2]]],[[[1,1,2,
1],[2,1,3,2,2,1,1,1],[4,2],[5,-1,1,1,2,-2,1,1,2,2,4,1]],[[1,1,2,1],[2,1,3,2,2,
1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,1,5,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
-1,2,-2,1,1,2,-1,3,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,
-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,
1,3,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1]],[[2,1,1,1],[3,2,2,-2]],[[
1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1,2,1,
1,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-2]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,1,3,1,4,-1,2,-1,3,-2]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,
1,1],[2,2],[4,1,5,1,3,1,4,-1,5,-1,3,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,3,1],[
4,1,3,1,1,1,2,-1,3,1,4,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1]],[[1,1,
2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[2,1,1,1],[1,1,2,-1,
3,-2,2,-1,1,1,2,3,3,1]],[[2,2,1,1,2,1],[2,1,1,1,3,-2]],[[1,1,2,1],[3,1,1,1,3,
-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,-1,1,1,2,-2,3,-1,4,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,3,1,2,2,4,-1]],[[1,1]]],[[[2,1,1,
1],[1,1,2,3],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[2,
1,1,1],[3,2,2,-2,1,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2]]],[[[1,1,2,1],[2,1,
1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,
1,6,1],[5,-1,8,-1,5,1,8,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,
1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1,8,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,-3,1,1,2,1,1,1,2,
2]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,
-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,
1,4,-1,6,1,4,1]],[[1,1,2,1],[3,2,2,1,3,1,2,2],[4,-2]],[[1,1,2,1],[1,1,2,-2,3,
-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,2,4,-1]]],[[[1,1,2,-1],[2,1,1,
1,2,2,3,3,2,-1,1,1,2,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,1,2,2]],[[2,1,1,
1],[1,1,2,-1],[4,2,2,-1,1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,
-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[3,2,2,1,1,1,2,-3]],[[1,1,2,-3,1,1,2,1,1,1,2,
2]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,2,4,-1,2,-1,3,-1,4,-1]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[3,1,
1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,
1,5,1,2,2],[4,1,6,1],[6,1,7,2,4,-1,6,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[
1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,-2,4,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,
2],[4,2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[2,1,3,1],[3,1,4,
2]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[2,1,1,1],[1,1,2,-1],[4,2,1,1,
2,2,3,2,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,3,-1,2,-1,3,-1,4,-1]],[[
1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,
4,-1,2,-2,5,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[
1,1,2,1],[2,1,1,1],[2,2],[4,1,3,1,5,1,2,1,1,1,4,1,5,1,3,1]],[[1,1,2,1],[2,1,1,
1],[4,1,3,2,2,2,1,1,4,1,3,1,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,
1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,1],[7,2,6,-1,7,-1]],[[1,1,2,1],[3,2,2,1,3,1,2,
2],[4,2]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,
6,-1,4,1,6,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1,4,1,5,-2,3,
-1,2,-2,4,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[
4,1,3,2,2,2,1,1,4,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-1,3,-1,
4,-1,3,1,2,2,1,1]],[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[3,1,
2,2,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,-1,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
2,2,1,4,2]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[
4,1,6,1,4,1,6,1,4,-1]],[[1,1,2,1],[3,2,2,1,3,1,2,2],[4,2]],[[1,1,2,1],[1,1,2,
-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,2,4,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,2,3,3,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,1,2,3,
1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,
3,1,4,1,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[4,2,
2,-1,3,-1,1,1,2,-1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,
2,1,5,1,2,2],[6,2,4,1,6,2,4,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[
5,2,2,1,5,1,2,2],[4,1,6,1],[7,1,6,1,7,-2]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,
2],[4,2]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,-1,4,-1]],[[1,1,2,-2,1,1,2,-1,1,1,
2,3]],[[1,1,2,-2,1,1,2,3,1,1,2,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,
-1]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[2,1,1,1],[2,1,3,-1,1,1,2,2,3,
1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,2,6,2,
4,2,6,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,
6,-1,4,1,6,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,
2],[4,1,6,2],[7,2,4,-2]]],[[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[2,
1,1,1],[1,1,2,-1,1,1,2,2,3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,
5,-1,2,2,3,1,4,-1,5,1]],[[1,1,2,1],[1,1,2,-3,3,-1,2,1,1,1,3,-1,2,-1,3,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-2,4,-1,2,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,
-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,1],[7,1,6,2,7,1]],[[1,1,2,1],[
1,1,2,-2,3,-1,2,1,3,2],[4,-3]]],[[[2,2,1,1,2,-1,1,1,2,-2,1,1,2,1]],[[1,1,2,
1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,
2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,2,4,-1,6,-2]],[[1,
1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,1,6,1,4,
1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,2],[6,
-1,4,1,6,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,
2],[6,1,4,1,6,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2]]],[[[1,1,2,-2,1,1,2,-1,
1,1,2,3]],[[1,1,2,1],[1,1,2,-1,3,2,2,1,3,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,
3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,2,4,2,6,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,
3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,-1,4,1,6,-1]],[[1,1,2,1],[1,1,2,-2,3,
-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,-3,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,4,1,2,1,3,2,4,-1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,
-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,2,4,
1,6,2]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,4,
-1,6,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,-2]],[[2,3,1,1,2,-1,1,1,2,1,1,
1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,
-3,4,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,
4,1,6,1,4,1]],[[1,1,2,1],[3,2,2,1,3,1,2,2],[4,-3]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,4,-1,3,-2,2,2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,2,2,
1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,2,4,
-1,6,2]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,
4,-1,6,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2,4,-1,5,2,3,-2,2,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,2,3,1,4,1]]],[[[1,1,2,1],[2,1,
1,1],[1,1,2,-2,3,-1,4,1,2,1,4,-1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,4,3,
-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,4,-1,2,-1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,1,1,2,-3,4,-1]],[[1,1,2,1],[1,1,2,-2,
3,-1,2,2,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-1,3,-1,2,-2,4,-1,3,-1,4,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,
1,3,1,5,1,3,-1,5,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,4,-1,2,-1,1,1,2,-2,3,
1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,3,2,4,1]],[[1,1,2,1],[3,1,1,1,
2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,3,2,1,4,1]],[[1,1,2,
1],[2,1,1,1],[2,1,4,1],[3,1,5,1,4,2,5,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,
1,3,1,4,1,5,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,4,1,3,
1]]],[[[2,1,1,1],[1,1,2,-1],[2,2,3,-1,4,1,3,-2,2,-1,1,1,4,-1]],[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1],[5,1,4,2,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,
-2,3,-1,5,1,3,-2,2,-1,4,-1]],[[2,1,1,1,2,-1,1,1]],[[1,1]]],[[[2,1,1,1,2,-2,1,
1,2,-1,1,1,2,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,
-2,3,-1,2,1,3,2]],[[2,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,
1],[2,1,3,2,1,1,2,-3]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]],[[1,1,2,-1,1,1,2,
-1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,-2,1,1,2,-1,4,-1,2,-1,3,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,2,-1,3,-1,2,1,3,2,4,1]],[[1,1,2,1],[
3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,-1,2,-2,
4,-1,5,1,4,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[1,1,2,-1,5,-1,3,-1,4,-1,
3,-1,5,-1,4,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,1,3,2],[5,1,4,-1,6,-1,5,1,6,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[
2,2],[5,1,3,1,4,1,5,-1,3,-1,4,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
-1]]],[[[2,1,1,1],[2,2],[1,1,2,-1,3,-1,4,-1,1,1,2,1,4,1,3,1]],[[2,1,1,1],[2,1,
3,1],[1,1,2,1,4,-1,3,-2,4,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,
1,2,-2,1,1,2,-1,1,1,2,3]],[[2,2],[3,1,1,1,2,1,1,1,2,-1,3,-1]],[[1,1]]],[[[1,1,
2,1],[2,1,1,1],[2,1,3,2,4,1,2,1,1,1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[3,1,2,
1,4,3,3,1,2,3,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,
2,-1,3,-2,2,-1,3,1,2,3,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-3]],[[2,1,1,1],[3,1,2,
2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,3,1,1,2,-1]],[[1,1,2,1],[3,1,
2,2,1,1,3,-2,2,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-1,2,-1]]],[[[1,1,2,1],[1,
1,2,-1],[2,1,1,1,3,-1,2,-2,4,3,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,3,
2,4,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[2,2,4,1,5,-1,4,1,3,1,2,1,3,1,5,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,1,1,1,4,2,2,2,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[2,1,1,
1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,-3,1,1,2,3,1,1]],[[2,2,1,1,2,-1,
1,1,2,-2,1,1,2,1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,
1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,-1,5,1,4,-1]],[[1,1,2,1],[2,1,
3,2,2,1,1,1],[4,-3]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,1,
5,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,3,2,4,1]],[[2,1,1,1],[2,2,1,
1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,3,2,2,1,4,1,3,1,4,-2,
5,1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[2,1,1,1],[1,1,2,2,3,1],[4,
1,3,1,4,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,2,1,3,2,2,1,1,1]],[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-1,4,-2,2,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,
1,1],[1,1,2,-2,1,1,2,2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,-3,
2,-2,1,-1,2,2,1,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,2,1,1,2,-2,1,1,2,2,4,
-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,1,5,-1,4,1,5,
1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,1,4,-2,5,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,1,1,1],[2,
1,3,2],[4,1,5,1,4,1,5,1]],[[2,1,1,1],[3,1,2,-1,1,1,3,1,2,-1]]],[[[1,1,2,-2,1,
1,2,-1,1,1,2,3]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[2,1,1,1],[3,1,2,2,3,-1,
2,-1,1,1,2,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[3,3,2,1,4,
2],[2,1,1,1],[6,1,2,2,6,-1,2,-1,1,1,2,-1],[5,1],[7,1],[8,1,9,1,8,-1,9,1]],[[1,
1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[6,3,2,
1,7,2],[8,1,5,1,8,-1,5,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,
-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,6,-1,5,2,6,1,4,
1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1,3,-2,2,-1,4,-2,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,2,3,1,4,
-1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,
1,1],[3,1,1,1,4,2,2,-2,3,-1]]],[[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-1,2,-1]],[[1,
1,2,-3,1,1,2,3,1,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-1,4,-1,2,-2]],[[1,1,2,1],[1,1,2,-2,3,2,2,
1,1,1,2,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[
4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]],[[2,1,1,1],[3,
1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-1,4,-1,2,
-2]],[[2,1,1,1],[1,1,2,-1,1,1,2,2,3,2]],[[1,1,2,1],[1,1,2,-1],[2,1,1,1,3,-2,2,
-1,4,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,-1,2,-1,3,-1,4,-1]],[[1,1,
2,-1,1,1,2,-1,1,1,2,2]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]],[[2,1,1,
1],[1,1,2,1,3,-1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,5,-1,3,
-1,4,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,
1,3,-1,4,2,3,1,4,-1,2,-1]]],[[[2,2],[3,1,2,1,1,1,2,-1,1,1,3,-1]],[[2,-1,1,1,2,
1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,-1,4,-1,2,-1,4,
-1]],[[2,1,1,1],[1,1,2,-3,1,1,2,1,3,2]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
-1]]],[[[2,1,1,1],[3,2,2,-2]],[[1,1,2,-2,1,1,2,2]],[[1,1,2,-1,1,1,2,1]]],[[[1,
1,2,-2,1,1,2,-1,1,1,2,3]],[[1,1,2,1],[3,1,1,1,2,-2,3,1,1,1]],[[1,1]]],[[[2,1,
1,1],[1,1,2,3],[3,1,4,1,3,-1,4,-1]],[[1,1,2,-2,1,1,2,2]],[[1,1,2,1],[2,1,3,2,
1,1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,2,3,1,4,-1,2,-1]],[[1,
1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,5,-1,3,-1,4,-1]],[[2,1,1,1],[2,1,3,-1,2,
-1,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,4,-2]],[[1,1,2,1],[1,1,2,
-2,3,-1,2,2,1,1,3,1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[5,1,2,-1,3,2,4,2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,
4,1,3,-1,4,-1,2,-1]]],[[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]],[[1,1]],[[1,1,2,
1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,-2,1,1,2,2]]],[[[2,2],[1,1,2,1,3,1,1,1,2,
-1,3,-1]],[[1,1,2,-1,1,1,2,1]],[[2,1,1,1,2,-1]],[[2,2,1,1,2,-1,1,1,2,-1]]],[[[
1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,1],[6,2,2,1,1,1,2,-2,
6,-1],[5,1],[7,1],[8,1,9,-1,8,1,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,
2,-1,3,-1,4,-1],[1,1,2,-1],[6,2,2,-2,1,1,2,1,1,1],[7,1],[5,1,8,1,5,1,8,-1]],[[
1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[6,1,
2,1,6,1,2,1,7,1,6,-1,7,1],[5,1,8,-3]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,
1,3,-1,4,1],[1,1,2,1],[6,2,2,1,1,1,2,-2,6,-1],[5,1],[8,2],[9,1,7,1,9,-1]]],[[[
1,1,2,1],[3,2,2,1,1,1,2,-2,3,-1],[1,1,2,-1],[5,2,2,-2,1,1,2,1,1,1],[4,1],[6,
1],[8,1,7,-1,8,-1,7,-1,8,1,7,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,
3,-1,4,-1],[1,1,2,1],[2,1,1,1],[6,1,2,1,6,1,2,1,7,1,6,-1,7,1],[8,1,5,1,8,-1,5,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,-1],[6,2,2,-2,
1,1,2,1,1,1],[7,-1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,
-1],[1,1,2,1],[6,2,2,1,1,1,2,-2,6,-1],[7,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
2,1,3,2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,1,1,2,-2,3,
1]],[[2,2],[3,1,1,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,3,
1,2,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,
1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]],[[1,
1,2,1],[2,2,3,1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[
2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,
-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,1,4,2,3,1,4,-1,2,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,
-1,1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,
2,1,4,-1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[2,1,
3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,1,4,1,5,1]],[[2,1,1,
1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,2,1,4,1,
3,1,4,-1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,-1,
2,-1,3,1,2,1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1]],[[1,1,2,1],[2,1,1,1,
2,-1],[3,1,4,1,3,-1,4,1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]],[[2,1,1,1],[1,1,
2,3,3,-2,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[6,
1],[7,1,4,1,7,1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,1,1,1],[2,1,6,
-1,2,-1,1,1,6,1],[5,-1,7,1,5,1]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[2,
1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[7,1,5,1,7,1,5,-1]],[[2,1,1,1],[2,1,3,-1,2,-1,
1,1,3,1]]],[[[1,1,2,3],[1,1,2,-1,3,-1,2,1,1,1,3,1]],[[2,1,1,1],[3,1,1,1,2,1,3,
-1,2,-1]],[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,
3,1,4,1,2,1,1,1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,4,
1,3,1,2,1,4,1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,
1],[2,2,3,1,4,1,2,1,1,1,4,1,3,1,2,1,3,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1,2,
1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,
1,3,1,4,-1,1,1,2,-2,3,-1,4,1]],[[2,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[1,1,2,-2,
3,-1,2,2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[2,
1,1,1],[2,-2,1,1,2,2]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,-1]],[[2,1,
1,1],[2,1,3,-1,2,-1,1,1,3,1]],[[1,1,2,-2,1,1,2,-1,1,1,2,3]],[[1,1,2,1],[2,1,1,
1,3,-1,2,-1,3,-1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-2,
3,1,2,1,3,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,3,1,1]],[[1,1,2,
1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,
2,1,1,1]],[[1,1,2,1],[3,2,2,1,1,1,2,-3]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1,2,
2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,2,1],[4,1,6,1,5,1,4,-1,6,-1,5,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[3,1,
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2]],[[1,1,2,1],[3,2,2,1,1,1,2,-3]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,
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1],[2,1,1,1],[1,1,2,-1],[5,1,4,-1,3,-1,2,-2,3,1,2,1,3,1,4,1,5,-1]],[[1,1,2,
1],[2,1,1,1],[3,1,2,1,4,2,3,1,2,1,3,1]],[[1,1,2,1],[2,2],[1,1,2,-1,3,-1,4,-1,
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1]],[[1,1,2,1],[3,1,2,2,1,1,3,-2,2,-1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[2,1,1,
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1,3,1,2,1,4,1,3,-1,4,1],[1,1,2,1],[6,2,2,1,1,1,2,-2,6,-1],[5,1],[7,1],[9,1,8,
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1],[2,1,1,1],[6,1,2,1,6,1,2,1,7,1,6,-1,7,1],[5,1,8,-3]],[[1,1,2,1],[2,1,1,1],[
4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,-1],[6,2,2,-2,1,1,2,1,1,1],[7,1],[5,1,
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6,2,2,1,1,1,2,-2,6,-1],[5,1],[8,2],[9,1,7,-1,9,-1]]],[[[1,1,2,1],[2,1,1,1],[1,
1,2,-2,3,-2,4,-1,3,-2,2,-1,4,-1]],[[2,2,1,1,2,-1,1,1,2,-1,1,1]],[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,2,4,-1,3,-2,2,-1]]],[[[2,1,1,1],[3,1,2,2,1,1,2,1,1,1,2,-1,3,
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2,1],[2,1,1,1,2,-1,3,-3,2,-1,3,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,
-1]]],[[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[2,1,1,1],[1,1,2,-3,1,1,3,
3]],[[1,1,2,3],[1,1,2,-1,3,-1,2,1,1,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,
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3,-2,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[2,
2],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[2,1,3,1],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,
1],[3,1,2,1,3,1,4,1,2,1,1,1,4,1,3,1,2,1,4,1]],[[2,1,1,1,2,-3,1,1,2,-1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,4,-1,2,-2,3,2,2,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,
2,1,4,2,2,2,3,1,4,1,2,1,1,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]],[[1,
1,2,1],[2,1,1,1],[1,1,2,-1],[5,2,2,-1,3,1,4,1,2,1,4,1,3,-1]]],[[[1,1,2,1],[2,
1,1,1],[3,2,2,1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,
2]]],[[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,-1],[1,1,2,-1],[5,2,2,-2,1,1,2,1,1,1],[4,
1],[6,1,7,-2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,-1],[1,1,2,-1],[5,2,2,-2,1,1,2,
1,1,1],[4,1],[7,1,6,1,7,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,
4,-1],[1,1,2,1],[6,2,2,1,1,1,2,-2,6,-1],[7,1,5,1]]],[[[1,1,2,1],[2,1,3,2,2,1,
1,1,3,2,2,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-2,3,-2]]],[[[1,1,2,1],[1,1,2,-2,3,
-1,2,1,3,1,2,1,1,1]],[[1,1,2,2,1,1,2,-2]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,-1,2,-1,3,-1,4,-1,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,
2,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,
1],[1,1,2,-1,1,1,2,-1,3,2]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,-2,1,1,2,2,1,
1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,4,
-1,1,1,2,-2,3,-1,4,1]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]],[[1,1]]],[[[1,1,2,1],[2,
1,1,1],[3,1,2,1,3,1,4,-1,1,1,2,-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,
1,2,1]],[[1,1,2,-2,1,1,2,1,1,1,2,1,1,1]]],[[[1,1,2,-2,1,1,2,3,1,1,2,-1]],[[2,
2],[3,1,2,1,1,1,2,-1,1,1,3,-1]],[[2,1,1,1],[3,2,2,-2,1,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,1]],[[
2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,
2,-1,3,-1]],[[2,1,1,1],[1,1,2,-3,1,1,3,3]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,
2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,-2,
1,1,2,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,4,-1,2,-1]]],[[[1,1,
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2]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-2,3,-1,4,
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1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,-1,4,
-1]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-2,2,
-1]],[[2,1,1,1],[2,1,3,-1,1,1,2,1,3,1,2,-2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,1,3,1,2,1,1,1,4,1,3,1,2,2]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,
1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,4,-1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,2,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,
1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,
2,-1]]],[[[1,1,2,1],[1,1,2,-1,3,1,2,1,3,3,2,1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-3,
2,-1,3,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,2,1,4,3,3,1,2,3,1,1]],[[1,1,2,-1],[2,2,1,1,2,2,1,1],[4,1,3,-1,4,1,3,
-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,-1,5,1,4,1]],[[
1,1,2,1],[2,1,3,2,2,1,1,1],[4,-3]],[[1,1,2,-2,1,1,2,2],[3,2]]],[[[1,1,2,1],[2,
1,3,2,2,1,1,1],[4,-3,1,1,2,-2,1,1,2,2]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,2,1,1,
2,-2,1,1,2,2,4,1]],[[1,1,2,-2,1,1,2,2],[3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[5,1,2,-2,4,-1,5,1,2,-1,3,-2,4,-1]],[[1,1,2,1],[3,1,2,2,1,1,3,-2,2,-1]],[[
1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2]]],[[[1,1,2,1],[1,1,2,-1],[4,2,3,1,2,1,1,1,2,
1,3,2]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,
3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[6,2,
2,1,1,1,2,-2,6,-1],[7,1],[5,1,8,-3]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1,2,1,4,
1,3,-1,4,1],[5,2]],[[1,1,2,1],[3,2,2,1,1,1,2,-2,3,-1],[1,1,2,-1],[5,2,2,-2,1,
1,2,1,1,1],[4,1],[6,1,7,2]]],[[[1,1,2,1],[3,2,2,2,1,1,3,-1]],[[2,-1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1,2,-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,
4,-1,3,-1,2,-1,3,1,2,2,4,1]],[[2,1,1,1,2,-3,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[
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3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,3,1,2,1,4,1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,1,2,1,3,1,2,1,1,1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[
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-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-1,2,-1,3,1,2,2,4,1]],[[1,1,2,
1],[2,1,1,1],[2,1,3,2,4,1,2,-1,3,-2,4,-1]],[[1,1,2,-2,1,1,2,2,1,1]]],[[[1,1,2,
1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,1]],[[2,1,1,1,2,-1,1,1]]],[[[1,1,2,-1],[
2,1,1,1,2,2,1,1,2,1],[4,1,3,-1,4,1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,3,2,4,
-1,2,-1,3,-1,4,-1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]]],[[[1,1,2,
1],[2,1,1,1],[2,2,3,1,4,2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1],[4,1,5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-2,2,1,
1,1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,3,2,2,1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,2,2,3,1,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,
5,1,4,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,2,2,3,1,4,1]],[[1,1,
2,1],[2,1,1,1],[2,1,4,1,3,-1,4,1,3,1,2,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,
-1,3,1,4,1,3,1,2,1,3,1,4,1],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,-2],[8,-1,5,
-1]],[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,1,3,1,2,1,3,1,4,1],[1,1,2,1],[2,1,1,
1],[2,1,6,2,7,2,2,-2],[5,-1,8,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1,4,-1,3,-2,
2,2,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-2,2,-1]],[[1,1,2,1],[3,1,2,2,1,
1,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,4,1,3,1,2,1,4,1]],[[
1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,1,2,3,1,1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,4,-1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,2,1,3,2,2,1,1,1,4,1,3,1,2,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,
4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,3,1,2,1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[
2,2,3,1,1,1,2,-1,3,-2]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,2,2,3,3,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,7,3,2,2,6,1],[5,2,8,
2]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,3,2,1,4,1],[5,-3]],[[1,1,2,1],[2,1,1,1],[
4,1,2,2,3,3,2,1,4,1],[1,1,2,1],[2,1,1,1],[6,1,2,1,7,3,2,2,6,1],[8,2,5,
-1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,1,1,1,2,-2,3,-1,4,-1]],[[1,1,2,1],[
1,1,2,-1],[4,1,1,1,2,-1,3,-2,2,-1,4,2,3,1]],[[2,1,1,1],[1,1,2,-1],[4,1,3,-2,4,
2,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,3,1,2,2,4,1,2,1,1,1]],[[
1,1,2,1],[2,1,1,1],[2,1,3,1],[1,1,2,-1,3,-1,5,-1,4,-2,5,-1,3,-1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,-1,4,1,2,2,5,-1]],[[1,1,2,1],[3,1,1,1,
3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,3,1,1,4,1,3,1,2,1,4,1]],[[
1,1,2,1],[2,1,1,1],[1,1,2,-1,3,2,4,2,3,-1,2,-2]]],[[[2,1,1,1],[1,1,2,-1,1,1,2,
2,3,2]],[[1,1,2,1],[3,2,1,1,2,-1,3,1,2,1]]],[[[2,2],[3,1,1,1,2,1,3,1,2,1,1,
1]],[[1,1,2,1],[2,1,3,1,1,1,2,-1,3,2]]],[[[1,1,2,1],[3,2,2,2,3,1,2,1,1,1]],[[
2,3]],[[2,1,1,1],[1,1,2,-1,1,1,2,1,3,-2,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,
-1,3,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[2,2],[3,1,2,1,1,1,3,1,1,1,
2,1]]],[[[1,1,2,1],[2,1,3,1,2,1,1,1,3,2,2,1]],[[2,2,1,1,2,2,1,1,2,-1]]],[[[2,
2],[3,1,1,1,2,2,1,1,3,1]],[[1,1,2,1],[3,1,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,
1],[2,1,1,1],[1,1,2,-1],[4,1,2,2,5,-1,4,1,3,2,2,1,5,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-1,3,-2,2,2,3,1,4,1]],[[2,1,1,1],[2,-2,1,1,2,2]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,-2,4,1,2,-2,3,-1],[6,-3]],[[1,1,2,1],[2,1,
1,1],[1,1,2,-1,3,-2,2,-1,4,-2,2,-2,3,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,2,
-2,4,-1,3,-2,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,
1,1,1],[1,1,2,-2,3,-1,4,-1,3,1,2,2,4,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1]]],[[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,2,3,1]],[[2,2],[3,1,2,1,
1,1,2,-1,1,1,3,-1]],[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,-1,4,-1]]],[[[2,1,1,1],[1,
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-1,4,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,
2,2,1,1,3,1]],[[2,1,1,1],[1,1,2,1,3,-1,2,-1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
2,4,-2,2,-1]],[[1,1,2,-1,1,1,2,-1,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,
3,1,4,2,3,1,4,-1,2,-1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,
1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
-2,3,1,4,2,2,2,3,1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[2,1,1,1],[1,1,2,3,
3,-2,2,-1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[2,1,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[1,
1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[2,1,1,1],[1,1,2,-3,1,1,3,
3]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,
4,1,2,1,1,1,4,1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,3,2,2,3,1,2,1,1,
1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,
-1,2,-1,3,-1,4,-1]],[[2,1,1,1],[1,1,2,2,3,1],[4,1,3,1,4,1,3,1]]],[[[1,1,2,1],[
2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,
3,1]],[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,
3,2,2,1,4,-1,3,-1,2,-1,3,-1]],[[1,1,2,1],[3,2,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,
1],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,
3,-1,5,-1,4,-1]],[[1,1,2,-1,1,1,2,1]],[[2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[
1,1,3,-1,4,3,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,5,-1,3,-1,
4,-1]],[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,2,3,1]],[[2,1,1,1],[2,2],[1,1,2,-1,3,
-1,4,-1,1,1,2,1,4,1,3,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[
4,2],[6,-1,5,1,4,-1,5,-1,6,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,
2],[4,2],[6,1,5,1,6,-1,5,-1,4,-1]],[[2,-2,1,-1,2,2,1,-1]]],[[[2,1,1,1],[1,1,2,
3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[5,1,7,1,5,-1]],[[2,
1,1,1],[3,2,2,-2]],[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,
-2,6,-1,2,2,6,1],[5,-1,7,1,5,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,
1],[5,2,2,-2],[4,1,6,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,2],[5,1,4,-1,6,
-1,3,-1,6,1,3,1,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,-1,3,-1,2,-1,3,
-1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,2,2,3,1,4,-1,5,
1]]],[[[1,1,2,1],[2,1,3,1],[1,1,2,-1,3,-1,4,-1,3,1,4,1,2,1,1,1]],[[1,1,2,1],[
2,1,1,1,2,-1,3,-2,2,2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,2,7,
2,2,1,7,1,6,1],[5,1,8,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,1,4,1,3,
1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,
1],[2,1,6,2,7,2,2,1,7,1,6,1],[5,-1,8,2,5,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,
4,-1,3,-1],[2,1,1,1],[2,1,6,-1,2,-1,1,1,6,1],[5,1,7,1],[8,1,5,-1,8,-1,7,1,5,
1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,3,1],[2,1,1,1],[5,2,2,-2],[4,1,6,-1]],[[2,1,
1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1],[1,1,2,1],[1,1,2,-2,6,-1,2,2,6,1],[5,-1,7,
1,5,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[2,1,1,1],[2,2,1,1,2,
1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,-1,3,1,4,1,3,-1,4,-1,
2,-1]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,2],[4,1,5,1,4,1,5,1]],[[2,1,1,1],[1,1,2,2,3,1],[4,1,3,1,4,1,3,1]]],[[[1,
1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,1,2,1],[2,1,1,1],[2,1,6,
2,7,2,2,1,7,1,6,1],[8,1,5,-1,8,-1,5,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,1,
4,1,3,1],[5,-3]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,1,4,2],[1,
1,2,1],[2,1,1,1],[2,1,6,2,7,2,2,1,7,1,6,1],[8,1,5,1,8,-1,5,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,2,2,1,4,1,3,1],[5,-3]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,
4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,3,1,1,1,2,-2,3,-1,2,1,1,1]],[[1,1,2,-3,
1,1,2,3,1,1]]],[[[1,1,2,1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[3,1,2,
2,1,1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1,2,2]]],[[[1,1,2,1],[2,1,
3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2,5,1,4,2,5,1]],[[1,1,2,1],[2,1,3,2,2,1,1,
1],[1,1,2,-2,1,1,2,2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,
-2,1,1,2,2],[4,2],[6,-1,5,-1,6,-1,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,
-2,1,1,2,2],[5,1,4,-1,5,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,
1,4,1,5,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,
-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,3,1,2,1,3,1,4,1]],[[2,1,
1,1,2,-1,1,1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,2,5,1,4,
-1,5,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[4,1,5,1,4,1,5,
-1]],[[1,1,2,-2,1,1,2,2],[3,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,-1,2,
-2,5,1,4,-1,3,1,2,1,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,
1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,
2,3,1,4,2,3,1,2,1,3,1,2,1,1,1]],[[2,1,1,1],[2,1,3,1,1,1,2,1],[3,1,4,1,3,1,4,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,2,1,1,1,2,2,3,1,4,1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[5,1,2,-2,3,-1,4,-1,5,1,4,-1,3,-2]],[[1,1,2,1],[2,1,1,1],[
3,1,2,1,4,2,2,1,3,2,4,1,2,1,1,1]],[[2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,3,2,2,1,
1,1],[1,1,2,-2,1,1,2,2],[4,2,5,1,4,2,5,1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[4,1,
1,1,2,-2,1,1,2,2,4,1]]],[[[1,1,2,1],[2,1,1,1,2,-1,3,-3,2,-1,3,-1]],[[2,1,1,
1],[3,1,2,3,3,1,2,-1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,
1],[2,1,3,2,2,1,1,1],[1,1,2,-2,1,1,2,2],[5,1,4,-1,5,1,4,2,5,1]],[[1,1,2,1],[2,
1,3,2,2,1,1,1],[4,2,1,1,2,-2,1,1,2,2,4,-1]],[[1,1,2,1],[2,1,3,2,2,1,1,1],[1,1,
2,-2,1,1,2,2],[5,1,4,1,5,1,4,1]]],[[[2,1,1,1],[1,1,2,-1],[4,2,1,1,2,2,3,2,4,
-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,
-1,3,-2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,-1,2,-2,3,-1]],[[1,1,
2,1],[2,1,1,1,3,-1,2,-1,3,-1,2,2]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,
1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,1,1,2,-1,4,-1,2,-2]],[[1,1,2,1],[
2,1,1,1],[1,1,2,-2,3,2,2,1,4,2]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,-2,1,1,2,-1,
4,-1,1,1,3,-1]]],[[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,-1,4,-1]],[[1,1,2,-2,1,1,2,
2,1,1]],[[2,1,1,1],[2,2,1,1,2,1,3,-2,2,-1]],[[2,1,1,1],[1,1,2,-2,3,-1,1,1,2,2,
3,1]]],[[[1,1,2,1],[1,1,2,-2,1,1,2,-1,3,2,2,1]],[[2,2],[3,1,1,1,2,1,1,1,2,-1,
3,-1]],[[1,1,2,-1,1,1,2,1]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1]],[[1,1,
2,1,1,1,2,-1]],[[2,1,1,1],[2,-2,1,1,2,2]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-2,
2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,4,-2,3,-1,5,1,3,-1,2,-1,3,-1,4,
-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,4,1,3,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,
1],[1,1,2,-2,3,-2,2,1,3,2,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[4,1,5,-1,
4,-1,5,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,1,4,1,3,2,4,2]],[[1,1,2,1],[2,2,1,1,
3,-1,1,1,2,-2,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-2,2,-1,3,-1,2,-2,4,-1]],[[
2,1,1,1],[2,2,3,1,2,1,3,2]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,-2,1,1,2,2,1,
1]],[[2,1,1,1,2,-1]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,1],[2,
1,1,1],[4,1,3,1,2,1,4,1,3,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[1,1,2,-1,3,1,2,1,1,
1,2,1,3,2]]],[[[2,1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1]],[[2,1,1,1,2,-1]],[[1,
1,2,1],[2,1,1,1],[3,1,4,2,3,-2,2,-1]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[2,1,
1,1],[3,3,2,1,4,2],[2,1,1,1],[6,1,2,2,6,-1,2,-1,1,1,2,-1],[5,1],[7,1],[9,1,8,
-1,9,1,8,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
1],[2,1,1,1],[6,3,2,1,7,2],[8,1,5,1,8,-2]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
2,2,1,3,2,4,1,2,1,1,1]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,1,
2,1,3,1,4,-1,2,-1,3,-2]],[[1,1,2,1],[1,1,2,-1,1,1,2,-1,3,2]],[[1,1,2,1],[1,1,
2,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,3,2,1,4,2],[2,1,1,1],[6,1,2,
2,6,-1,2,-1,1,1,2,-1],[5,1],[7,1],[8,1,9,1,8,-1,9,1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,1],[2,1,1,1],[6,3,2,1,7,2],[8,1,5,1],[5,
1,8,1,9,-2]],[[1,1,2,1],[2,1,1,1],[3,3,2,1,4,2],[5,-2]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1],[4,1,2,1,3,2,5,1,4,-1,2,-1,3,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,
1,3,2,2,2,1,1,4,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,
-1,3,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-1,2,-1]],[[
1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,
3,1,2,1,3,1,5,1,4,-1,2,-1,3,-2,5,-1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,2,1,1,4,
1,2,1,3,2]],[[1,1,2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,3,1,2,1,3,1,4,2,3,2,2,1]],[[2,1,1,1],[1,1,2,3],[1,1,2,-1,4,1,3,2,
4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,2,3,1,2,1,3,1,2,1,1,1]]],[[[1,1,2,1],[2,
1,1,1],[3,3,2,1,4,2],[2,1,1,1],[6,1,2,2,6,-1,2,-1,1,1,2,-1],[5,1],[7,1],[8,1,
9,1,8,2,9,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1],[1,1,2,
1],[2,1,1,1],[6,3,2,1,7,2],[8,1,5,1,8,-2]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,
4,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[4,2,2,-1,3,-1,1,1,2,-1,3,-1,2,
-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[2,2],[3,1,5,1,4,2,5,1,3,1,2,1,1,1]],[[1,
1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,1,
3,1,2,1,3,1,4,-1]],[[2,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,
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2,1,3,1]],[[1,1,2,-3,1,1,2,1,1,1,2,2]],[[1,1,2,1],[2,1,1,1,3,-2,2,-1,3,
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1,1,2,-2,6,-1],[5,1],[7,1],[8,1,9,1,8,1,9,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,1,
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2,3,1,1,1,2,-1,3,-1,2,-1]],[[2,1,1,1],[2,1,3,-1,2,-1,1,1,3,1]],[[2,-1,1,1,2,
1]]],[[[2,2],[3,1,1,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,-2,1,1,2,2,1,1]],[[2,1,1,
1],[3,2,2,-2,1,1]],[[2,1,1,1],[3,1,1,1,2,1,3,-1,2,-1]]],[[[1,1,2,1],[2,1,1,
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1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,1,1,4,1,3,2,2,1]],[[1,1,2,1],[1,1,
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1]],[[1,1,2,3],[3,1,1,1,2,-1,3,-1,2,1,1,1]],[[1,1,2,-2,1,1,2,1,1,1,2,1,1,
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2,1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,2,2,1,4,-1,3,-1,2,-1,3,-1]]],[[[1,1,2,
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3,1,2,1,3,1]],[[2,1,1,1],[1,1,2,3],[3,1,4,1,3,-1,4,-1]]],[[[1,1,2,1],[1,1,2,
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2,1]],[[2,1,1,1,2,-1,1,1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,3,3,-1]]],[[[1,1,2,
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-1]]],[[[1,1,2,1],[2,1,3,3,1,1,2,1,1,1]],[[2,1,1,1],[2,1,3,1],[4,2,3,1]],[[1,
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2],[3,1,2,1,1,1,2,-1,1,1,3,-1]],[[1,1,2,-2,1,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[
2,1,3,1],[5,1,3,1,4,1,2,1,1,1,4,1,3,1,5,1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,
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3,1,5,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,-1,4,2,3,2,2,1]],[[1,1,2,1],[2,1,
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2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[5,1,2,-2,4,-1,5,1,2,-1,3,-2,4,
-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-2]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[3,2,2,
1,1,1,2,-3]],[[1,1,2,1],[3,1,2,1,1,1,2,-1,3,-1]],[[1,1,2,-2,1,1,2,-1,1,1,2,
3]]],[[[1,1,2,1],[1,1,2,-1],[4,1,3,-2,2,-1,4,1,2,-1,3,1]],[[2,1,1,1],[1,1,2,3,
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1,1],[1,1,2,-1],[2,1,3,2,4,1,5,-1,2,1,4,2,5,-1]],[[1,1,2,1],[3,2,1,1,2,-2,3,
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-1,4,-1]]],[[[2,1,1,1],[1,1,2,-1],[2,1,3,2],[5,1,4,-1,5,1,4,-1]],[[2,1,1,1],[
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1],[1,1,2,3],[4,1,3,1,4,-1,3,-1]],[[1,1,2,1],[3,1,2,2,1,1,2,-1,3,-2]],[[2,1,1,
1],[1,1,2,-2,3,-1,1,1,2,2,3,1]],[[1,1,2,1],[2,1,1,1,3,-1,2,-1,3,-1,2,2,1,
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1],[2,1,3,2],[4,1,5,1,4,1,5,1]],[[1,1,2,-1],[2,1,1,1,2,-2,3,2,2,-1,1,1,2,
1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[
5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,3,1],[4,2,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,
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1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,1,4,1,6,1,4,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,
1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,2,6,-2]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,
3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[4,1,6,2,4,-1]]],[[[1,1,2,1],[3,1,2,1,3,1,1,
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1,2,3]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,2,2],[6,1,
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4,2,3,1,2,1,3,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]],[[1,1,2,1],[2,1,1,
1],[1,1,2,-1,4,-1,3,1,4,-3,2,-1,3,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-2,3,-2,4,
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2,1],[2,1,1,1],[4,1,2,1,3,2,4,-1,2,-1,3,-1,4,-1]],[[2,1,1,1],[2,2,1,1,2,1],[3,
1,4,1,3,-1,4,-1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2],[1,1,2,1],[5,2,2,1,5,1,
2,2],[6,-3,4,-1,6,1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2]]],[[[1,1,2,1],[3,1,2,
1,3,1,1,1,2,-3]],[[1,1,2,1],[2,2],[4,1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,
3,2],[5,1,4,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1],[3,2,2,1],[5,1,4,1,5,1,4,1]]],[[[
1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,1]],[[1,1,2,1],[2,1,1,1],[4,
1,2,3,3,2,4,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,2,2,1,1,1,4,1,2,2,3,1]],[[2,1,
1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,
4,1,5,1,4,1]],[[1,1,2,1],[2,1,1,1,2,-2,3,-1,2,-1,3,-2]]],[[[1,1,2,1],[2,1,1,
1],[3,2,2,1,4,1,2,2,3,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1,3,1,4,-1,
3,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,2,1,1,1,4,1,3,2,2,1]],[[2,1,1,
1],[1,1,2,-1],[2,2,1,1,2,1,3,1,4,-1,3,2,4,-1]]],[[[1,1,2,1],[3,3,2,1,3,1]],[[
1,1,2,1],[3,1,2,1,3,3]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,-1,4,2,2,1,4,-1,3,
1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,1,3,1,4,-1,2,-1,3,-2]],[[1,1,2,1],[2,1,1,
1,2,-1],[3,1,4,1,3,-1,4,1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,-1,4,-1,2,-1,1,1,2,
-2,3,-1,4,1]],[[1,1,2,1],[2,1,1,1],[2,2],[5,1,3,1,4,-1,3,1,5,1,4,1]]],[[[1,1,
2,1],[1,1,2,-2,3,-1,2,1,3,1,2,1,1,1]],[[2,2,1,1,2,-1,1,1,2,-1]],[[1,1,2,1],[3,
1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,
1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,3,
1,4,2,2,1,4,1,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,1]]],[[[1,1,2,1],[2,1,
1,1],[4,1,3,1,2,1,3,1,4,-1,2,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1,2,-1,3,-2,2,
2]],[[1,1,2,1],[2,1,1,1],[1,1,2,-2,4,-1,3,2,4,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
2,-1],[2,1,3,1],[4,1,3,-1,6,-1,5,2,3,1,6,1,4,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,
-1],[3,1,2,1,3,1,4,1,5,-1,2,2,4,1,5,-1]],[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,
1,1,1,3,1,2,1,4,2]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,1,3,2,4,1]],[[1,1,2,
1],[1,1,2,-2,3,1,2,1,3,1,1,1,2,-1]],[[1,1,2,1],[3,1,1,1,2,-2,3,-1,2,2,1,
1]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,5,1,3,2,5,1,4,1]],[[1,1,2,1],[2,1,1,
1,3,-1,2,-1,1,1,2,-2,3,1]],[[1,1,2,1],[3,1,1,1,2,-2,1,1,2,-2,3,1]]],[[[1,1,2,
1],[2,1,1,1],[3,1,2,1,3,1,4,1,2,-2,3,-1,4,-1]],[[2,1,1,1],[1,1,2,-3,1,1,3,
3]],[[2,-1,1,1,2,1]]],[[[1,1,2,3],[2,1,1,1,3,-2]],[[2,1,1,1],[2,1,3,2,2,1,1,1,
2,1]]],[[[1,1,2,1],[2,1,1,1],[2,2,3,1,4,1,2,-1,3,-2,4,-1]],[[1,1,2,-1,1,1,2,
1]],[[1,1,2,1],[2,1,1,1],[2,-1,4,-2,3,1,2,2,1,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,
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1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-2]],[[2,1,1,1],[2,-2,1,1,2,2]],[[2,1,1,
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1],[2,1,1,1],[2,1,3,2],[4,1,5,-1,4,-1,5,-1]],[[2,1,1,1],[1,1,2,-1],[4,2,2,-1,
1,1,2,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,1,3,1,4,-2]],[[1,1,2,1],[1,1,
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1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,1,2,1,1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,
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1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]],[[1,1,2,1],[3,2],[1,1,2,-1,1,1,2,-1,4,
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1],[2,1,1,1],[4,1,3,1,2,1,3,1,2,1,1,1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[
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3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,4,1],[4,1,3,1,5,1,3,-1,5,-1,4,-1]]],[[[1,
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1]],[[2,1,1,1],[1,1,2,-1,3,-1,1,1,2,1,1,1,3,1]]],[[[2,1,1,1],[1,1,2,-1],[2,2,
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1,1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,1,1],[4,1,3,
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2,1],[2,1,1,1],[2,2],[5,1,3,1,4,1,5,-1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
2,-1,3,-1,4,2,2,1,3,2]],[[2,1,1,1],[3,1,2,2,3,-1,2,-1,1,1,2,-1]]],[[[1,1,2,
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1],[2,1,1,1],[4,1,3,1,2,1,3,1,2,1,1,1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[
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1,2,1],[2,1,1,1,3,-2,2,-1,3,1,2,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,1,
4,-1,5,2,2,-1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,3,1,1,2,1,1,1]],[[1,1,2,1],[3,1,1,
1,2,-2,3,-2]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[2,1,1,1],[1,1,2,3],[
4,1,3,1,4,-1,3,-1]],[[1,1,2,1],[2,2,3,1,1,1,2,-1,3,-1,2,-1]],[[1,1,2,-3,1,1,2,
1,1,1,2,2]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[3,2,2,1,4,1,2,2,3,1,4,1]],[[1,1,2,
1],[2,1,3,2,1,1,2,-3]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[2,1,1,1],[
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4,1,2,1,1,1,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,1],[3,1,5,1,4,1,5,1,
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1],[1,1,2,-1],[4,1,3,-2,2,-1,4,1,3,2]]],[[[1,1,2,1],[2,1,1,1],[2,1,4,-1,3,1,4,
1,3,1,2,1,3,1,4,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2,4,2,2,-2]]],[[[1,1,2,1],[2,
1,1,1],[2,2,3,1,4,3,3,-1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,1],[2,
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1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[2,1,1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1],[3,1,
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1,3,1]],[[1,1,2,1],[1,1,2,-1,3,2,1,1,2,-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,
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2,1],[2,1,1,1,2,-1],[3,1,4,1,3,-1,4,1]],[[1,1,2,1],[1,1,2,-1,3,-1,2,1,3,
1]]],[[[1,1,2,1],[1,1,2,-2,3,1,2,1,1,1,2,-1,3,1]],[[1,1,2,1],[2,2,3,1,1,1,2,
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1],[3,2,4,2,2,1,4,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,
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4,1,5,1,3,1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,
1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[3,1,1,1,2,-2,1,1,2,-2,3,1]],[[1,1,2,1],[
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2,1],[3,1,1,1,2,-2,3,1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,
2,1],[3,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2],[6,
1,4,1,5,-1,4,1,6,1,5,-1]],[[1,1,2,1],[1,1,2,-2,3,-2,2,1,1,1,3,1,2,1,3,1]]],[[[
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1,4,2]]],[[[1,1,2,1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]],[[1,1,2,1,1,1,
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1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,2,2,3,1,4,-1,5,1]],[[1,1,
2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-2,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,
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1]],[[2,1,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[2,1,1,1],[2,2,1,1,2,1],[3,1,4,1,3,-1,
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2,2,3,1,4,1,2,1,1,1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-2,2,-2,3,
-1]],[[1,1,2,-3,1,1,2,3,1,1]]],[[[1,1,2,1],[2,1,1,1],[2,1,3,1],[1,1,2,-1,3,-1,
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1,3,1]],[[1,1,2,1],[2,1,1,1],[4,1,3,1,2,2,4,-1,2,-1,3,-1,4,-1]]],[[[1,1,2,1],[
2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,4,1,2,2,5,-1]],[[1,1,2,1],[2,1,1,1],[2,1,3,
1,4,1,2,1,1,1,4,1,3,1,2,2]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[2,1,3,2],[5,1,
4,-1,6,-1,5,1,6,-1,4,-1]],[[1,1,2,1],[2,2],[1,1,2,-1,3,-1,4,-1,3,1,4,1,2,1,1,
1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[3,2,4,1,5,-1,2,2,3,1,4,-1,5,1]]],[[[1,1,
2,1],[1,1,2,-1,3,2,2,1,3,1]],[[2,2,1,1,2,2,1,1,2,-1]],[[1,1,2,1],[2,1,1,1,2,
-1,3,1,1,1,3,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-1],[4,1,3,2,2,1,5,-2,4,1,2,
-2,3,-1]],[[1,1,2,1],[2,1,1,1],[1,1,2,-1,3,-2,2,-1,4,-2,2,-2,3,-1]],[[1,1,2,
1],[1,1,2,-1,3,-1,2,-1,3,-1,2,2,3,1,2,1,1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,
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-1]],[[1,1,2,1],[3,2,1,1,2,-1,1,1,2,-1]],[[2,1,1,1,2,1,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[2,1,1,1,2,-1,1,1,2,-1,1,1,2,1]],[[1,1,2,1],[
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1],[2,1,1,1],[1,1,2,-1],[3,1,2,1,3,1],[4,1,6,-1,5,2,4,-1,6,-1]]],[[[2,1,1,1],[
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1,1,1],[1,1,2,3],[4,1,3,1,4,-1,3,-1]],[[2,1,1,1,2,-1]],[[1,1,2,-2,1,1,2,-1,1,
1,2,3]],[[1,1,2,1],[2,1,1,1],[3,1,4,2,3,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
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1,1],[3,2,2,-2]],[[2,2],[3,1,1,1,2,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[1,1,2,-1,3,
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1,1],[4,1,2,1,3,2,4,-1,2,-1,3,-2]],[[1,1,2,-2,1,1,2,-1,1,1,2,3]],[[2,1,1,1],[
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1]],[[1,1,2,1],[2,1,1,1],[4,1,2,2,3,1,4,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,1,1],[
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1,1,3,-1,2,-1,3,-1]],[[1,1,2,1],[3,1,1,1,3,-1,2,1,1,1,2,-1]]],[[[2,1,1,1],[1,
1,2,3],[4,1,3,1,4,-1,3,-1]],[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2]],[[2,1,1,1],[3,
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2,1,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[4,2,3,-1,4,-1,3,-2,2,-1]],[[2,1,1,1],[1,1,
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1,1,2,-2]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,3,2,-1,3,-1]],[[1,1,
2,1],[2,1,1,1],[3,1,2,1,3,1],[4,1,5,1,4,-1,5,-1]],[[1,1]]],[[[1,1,2,1],[1,1,2,
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1]],[[2,2],[3,1,2,1,1,1,2,-1,1,1,3,-1]],[[2,2,1,1,2,-1,1,1,2,-1]]],[[[1,1,2,
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1,2,-1,3,-2]],[[1,1]]],[[[1,1,2,-3,1,1,2,3,1,1]],[[1,1,2,-1,1,1,2,1]],[[2,1,1,
1,2,-1]],[[2,2],[1,1,2,1,3,1,1,1,2,-1,3,-1]],[[1,1,2,-2,1,1,2,1,1,1,2,1,1,
1]]],[[[1,1,2,1],[2,1,1,1],[1,1,2,-2,3,1,4,3,2,-1,3,-1]],[[2,1,1,1],[1,1,2,
3],[4,1,3,1,4,-1,3,-1]],[[2,-1,1,1,2,1]],[[1,1]]],[[[1,1,2,1],[2,1,1,1],[1,1,
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1,1]],[[1,1,2,1],[2,1,1,1],[2,1,3,2],[5,1,4,1,5,1,4,-1]],[[1,1,2,1],[2,1,1,1,
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1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,2,1,1,3,-1,1,1,2,-2,3,1]],[[1,1,2,1],[2,
1,1,1],[2,1,3,2,4,-2,2,-1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,2,4,1,2,1,1,1,3,1,2,
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2]],[[1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[1,1,2,-2,3,-1,2,1,3,2]],[[1,1,2,1],[3,
2,2,1,3,1,2,2]]],[[[1,1,2,1],[3,1,2,1,1,1,2,-1,1,1,2,-2,3,1]],[[2,1,1,1],[1,1,
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1,3,1,1,1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,2,1,3,3]],[[2,2,1,1,2,-1,1,1,2,
-1]]],[[[1,1,2,1],[2,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[1,1,3,-3,2,-1]]],[[[1,
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29,30,103],[1,4,5,6,27,28,29,104],[1,4,5,6,28,29,30,105],[1,5,6,32,33,34,
106],[1,7,8,9,107],[1,7,10,11,108],[1,8,10,109],[1,8,9,11,110],[1,9,10,11,
111],[1,2,37,112],[1,3,35,113],[1,4,37,114],[1,4,35,115],[1,5,35,116],[1,5,36,
117],[1,3,37,118],[1,5,37,119],[1,6,37,120],[1,2,3,7,12,38,39,121],[1,2,4,7,
13,38,40,41,122],[1,2,5,7,14,38,41,42,123],[1,2,3,6,7,15,38,39,43,124],[1,2,5,
6,7,16,38,42,44,125],[1,3,7,17,39,126],[1,3,7,18,39,127],[1,3,4,5,7,19,39,40,
42,128],[1,2,3,7,12,39,41,129],[1,3,5,7,20,39,42,130],[1,3,7,18,39,131],[1,3,
7,21,39,132],[1,3,6,7,22,39,43,133],[1,3,7,23,39,134],[1,2,3,6,7,15,39,41,44,
135],[1,3,5,7,24,39,42,136],[1,3,6,7,22,39,44,137],[1,3,7,25,39,138],[1,4,6,7,
29,40,43,44,139],[1,2,5,6,7,16,41,42,43,140],[1,5,6,7,33,42,43,44,141],[1,2,3,
9,12,45,56,142],[1,2,3,8,12,46,51,143],[1,2,4,8,13,46,48,144],[1,2,5,8,14,46,
53,145],[1,2,5,9,14,45,54,55,146],[1,2,5,6,9,16,45,55,57,147],[1,2,3,8,12,46,
47,49,148],[1,2,5,8,14,46,47,50,149],[1,2,3,6,8,15,46,49,52,150],[1,2,5,6,8,
16,46,50,52,151],[1,2,4,8,13,47,48,152],[1,2,3,6,8,15,47,51,52,153],[1,2,5,6,
8,16,47,52,53,154],[1,4,8,26,48,155],[1,4,8,27,48,156],[1,3,4,5,8,19,48,49,50,
157],[1,4,5,8,28,48,50,158],[1,4,8,27,48,159],[1,3,4,5,8,19,48,51,53,160],[1,
4,6,8,29,48,52,161],[1,4,5,8,28,48,53,162],[1,4,8,30,48,163],[1,3,8,21,49,51,
164],[1,3,5,8,24,49,50,53,165],[1,3,5,8,24,50,51,166],[1,5,8,34,50,53,167],[1,
3,8,17,51,168],[1,3,6,8,22,51,52,169],[1,3,5,8,20,51,53,170],[1,3,8,23,51,
171],[1,3,8,25,51,172],[1,3,8,18,51,173],[1,5,6,8,33,52,53,174],[1,5,8,31,53,
175],[1,5,8,32,53,176],[1,2,3,6,9,15,54,56,57,177],[1,3,5,9,24,55,56,178],[1,
3,9,17,56,179],[1,3,6,9,22,56,57,180],[1,3,9,25,56,181],[1,3,9,18,56,182],[1,
3,8,17,183],[1,3,9,17,184],[1,3,10,17,185],[1,3,11,17,186],[1,3,11,21,187],[1,
3,10,21,188],[1,4,7,26,189],[1,4,9,26,190],[1,4,10,26,58,191],[1,4,11,26,
192],[1,4,6,10,29,58,59,193],[1,4,10,30,58,194],[1,3,4,5,10,19,58,61,62,195],[
1,4,5,10,28,58,62,196],[1,4,6,10,29,58,63,197],[1,4,10,30,58,198],[1,5,9,31,
199],[1,5,11,31,200],[1,5,11,34,201],[1,3,6,10,22,59,61,63,202],[1,5,6,10,33,
59,62,63,203],[1,5,6,11,33,60,64,65,204],[1,4,66,205],[1,6,66,206],[1,7,37,
207],[1,8,35,208],[1,10,35,209],[1,2,3,4,5,12,13,14,17,18,19,20,67,68,69,83,
86,210],[1,2,3,6,12,15,17,18,21,22,23,67,70,71,79,80,84,87,211],[1,2,3,5,6,12,
14,15,16,17,18,22,24,25,67,72,73,79,82,85,88,212],[1,2,3,4,5,12,13,14,19,26,
27,28,68,74,75,89,90,213],[1,2,3,4,5,12,13,14,19,20,28,31,32,68,78,91,92,
214],[1,2,3,4,5,6,12,13,14,15,16,19,21,24,29,68,70,72,76,93,215],[1,2,3,4,5,6,
12,13,14,19,22,23,25,29,33,68,71,73,94,95,216],[1,2,3,4,5,12,13,14,19,24,27,
28,30,34,68,75,77,96,97,217],[1,2,3,4,5,12,13,14,19,25,30,68,98,99,218],[1,2,
3,5,6,12,15,16,18,20,21,22,25,33,69,70,73,81,82,87,100,219],[1,2,3,5,6,12,14,
15,16,18,20,22,23,24,33,69,71,72,80,81,88,101,220],[1,2,3,4,5,6,13,15,16,19,
26,27,28,29,30,74,76,77,89,97,103,104,221],[1,2,3,4,5,6,13,15,16,19,24,27,28,
29,34,75,76,90,96,104,222],[1,2,3,4,5,6,13,15,16,17,19,20,22,29,33,76,79,81,
83,94,223],[1,2,3,4,5,6,13,15,16,18,19,23,25,29,76,80,82,86,95,224],[1,2,3,4,
5,6,13,15,16,19,20,28,29,30,31,76,77,91,99,105,225],[1,2,3,4,5,6,13,15,16,19,
25,29,32,76,92,98,226],[1,3,4,5,17,19,20,26,28,31,83,89,91,227],[1,3,4,5,17,
19,20,27,32,83,90,92,228],[1,3,4,5,17,19,20,21,23,24,25,83,84,85,93,95,100,
101,229],[1,3,4,5,17,19,20,24,25,28,34,83,85,96,98,102,230],[1,3,4,5,17,19,20,
27,30,83,97,99,231],[1,3,4,5,18,19,26,28,32,86,89,92,232],[1,3,4,5,18,19,20,
27,28,31,86,90,91,233],[1,3,4,5,6,18,19,21,22,24,29,33,86,87,88,93,94,234],[1,
3,4,5,18,19,24,28,30,34,86,96,99,235],[1,3,4,5,18,19,25,27,30,86,97,98,236],[
1,3,4,5,19,21,24,26,28,34,89,93,96,237],[1,3,4,5,6,19,22,26,28,29,30,33,89,94,
99,103,105,238],[1,3,4,5,19,23,25,26,28,89,95,98,239],[1,3,4,5,19,21,24,27,30,
90,93,97,240],[1,3,4,5,6,19,22,25,27,29,33,90,94,98,241],[1,3,4,5,19,23,25,27,
30,90,95,99,242],[1,3,4,5,19,20,21,24,25,28,31,91,93,98,100,102,243],[1,3,4,5,
6,19,20,22,27,28,29,30,31,33,91,94,97,104,105,244],[1,3,4,5,19,20,23,24,25,28,
31,34,91,95,96,101,102,245],[1,3,4,5,19,21,24,30,32,92,93,99,246],[1,3,4,5,6,
19,22,24,28,29,32,33,34,92,94,96,106,247],[1,3,4,5,19,23,25,27,30,32,92,95,97,
248],[1,2,7,8,9,38,46,107,249],[1,2,7,8,9,38,47,54,107,250],[1,4,7,8,9,40,48,
107,251],[1,2,7,8,9,41,47,107,252],[1,3,7,8,9,39,49,107,253],[1,2,7,8,9,41,45,
46,107,254],[1,5,7,8,9,42,50,55,107,255],[1,3,7,8,9,39,51,56,107,256],[1,6,7,
8,9,43,52,57,107,257],[1,5,7,8,9,42,53,107,258],[1,6,7,8,9,44,52,107,259],[1,
4,7,10,11,40,58,108,260],[1,6,7,10,11,43,59,108,261],[1,6,7,10,11,44,59,60,
108,262],[1,3,7,10,11,39,61,108,263],[1,5,7,10,11,42,62,64,108,264],[1,6,7,10,
11,43,63,65,108,265],[1,6,7,10,11,44,63,108,266],[1,2,8,10,46,47,109,267],[1,
2,8,9,11,45,47,110,268],[1,4,8,10,48,58,109,269],[1,3,8,10,49,61,109,270],[1,
5,8,10,50,62,109,271],[1,6,8,10,59,63,109,272],[1,2,8,9,11,46,54,110,273],[1,
5,8,9,11,50,55,64,110,274],[1,5,9,10,11,55,62,64,111,275],[1,6,9,10,11,59,65,
111,276],[1,6,9,10,11,60,63,111,277],[1,2,4,13,37,112,114,278],[1,2,3,6,15,37,
112,118,120,279],[1,2,5,6,16,37,112,119,120,280],[1,3,17,35,113,281],[1,3,4,5,
19,35,113,115,116,282],[1,3,5,20,35,113,116,283],[1,3,21,35,113,284],[1,3,23,
35,113,285],[1,3,5,24,35,113,116,286],[1,3,25,35,113,287],[1,4,26,37,114,
288],[1,4,27,37,114,289],[1,3,4,5,19,37,114,118,119,290],[1,4,5,28,37,114,119,
291],[1,4,6,29,37,114,120,292],[1,4,30,37,114,293],[1,4,27,35,115,294],[1,4,
30,35,115,295],[1,5,32,35,116,296],[1,5,32,36,117,297],[1,3,18,37,118,298],[1,
3,23,37,118,299],[1,3,25,37,118,300],[1,5,32,37,119,301],[1,7,66,302],[1,11,
66,303],[1,10,66,304],[1,2,3,7,12,17,18,38,39,67,121,126,127,305],[1,2,3,4,5,
7,12,13,14,19,38,39,40,41,42,68,121,122,123,128,129,306],[1,2,3,5,7,12,18,20,
38,39,42,69,121,130,131,307],[1,2,3,6,7,12,15,21,38,39,43,70,121,124,132,
308],[1,2,3,6,7,12,22,23,38,39,43,71,121,133,134,309],[1,2,3,5,6,7,12,14,15,
16,24,38,39,41,42,44,72,121,123,125,135,136,310],[1,2,3,6,7,12,22,25,38,39,44,
73,121,137,138,311],[1,2,3,4,5,6,7,13,15,16,19,29,38,39,40,41,42,43,44,76,122,
124,125,128,135,139,140,312],[1,2,3,5,6,7,12,14,15,16,24,38,39,41,42,43,72,
123,124,129,136,140,313],[1,2,3,6,7,15,17,22,38,39,43,79,124,126,133,314],[1,
2,3,6,7,15,18,23,38,39,43,80,124,127,134,315],[1,2,3,5,6,7,15,16,20,22,33,38,
39,42,43,44,81,124,125,130,137,141,316],[1,2,3,6,7,15,18,25,38,39,43,82,124,
131,138,317],[1,3,4,5,7,17,19,20,39,40,42,83,126,128,130,318],[1,2,3,7,12,17,
18,39,41,67,126,129,131,319],[1,3,7,17,21,23,39,84,126,132,134,320],[1,2,3,6,
7,15,17,22,39,41,44,79,126,135,137,321],[1,3,5,7,17,24,25,39,42,85,126,136,
138,322],[1,3,4,5,7,18,19,39,40,42,86,127,128,131,323],[1,2,3,5,7,12,18,20,39,
41,42,69,127,129,130,324],[1,3,6,7,18,21,22,39,43,87,127,132,133,325],[1,2,3,
6,7,15,18,25,39,41,44,82,127,135,138,326],[1,3,5,6,7,18,22,24,39,42,44,88,127,
136,137,327],[1,3,4,5,7,19,21,24,39,40,42,93,128,132,136,328],[1,3,4,5,6,7,19,
22,29,33,39,40,42,43,44,94,128,133,137,139,141,329],[1,3,4,5,7,19,23,25,39,40,
42,95,128,134,138,330],[1,2,3,6,7,12,15,21,39,41,44,70,129,132,135,331],[1,2,
3,6,7,12,22,25,39,41,43,73,129,133,138,332],[1,2,3,6,7,12,22,23,39,41,44,71,
129,134,137,333],[1,3,5,7,20,21,25,39,42,100,130,132,138,334],[1,2,3,5,6,7,15,
16,20,22,33,39,41,42,43,44,81,130,133,135,140,141,335],[1,3,5,7,20,23,24,39,
42,101,130,134,136,336],[1,3,6,7,18,21,22,39,44,87,131,132,137,337],[1,3,5,6,
7,18,22,24,39,42,43,88,131,133,136,338],[1,2,3,6,7,15,18,23,39,41,44,80,131,
134,135,339],[1,2,3,9,12,17,18,45,56,67,142,179,182,340],[1,2,3,8,12,17,18,46,
51,67,143,168,173,341],[1,2,3,4,5,8,12,13,14,19,46,48,51,53,68,143,144,145,
160,342],[1,2,3,5,8,12,18,20,46,51,53,69,143,170,173,343],[1,2,3,6,10,12,15,
21,59,70,188,344],[1,2,3,6,11,12,15,21,60,70,187,345],[1,2,3,5,6,9,12,14,15,
16,24,45,54,55,56,57,72,142,146,147,177,178,346],[1,2,3,6,9,12,22,25,45,56,57,
73,142,180,181,347],[1,2,3,6,8,12,15,21,46,47,49,51,52,70,143,148,150,153,164,
348],[1,2,3,6,8,12,22,23,46,51,52,71,143,169,171,349],[1,2,3,5,6,8,12,14,15,
16,24,46,47,50,51,52,72,143,149,151,153,166,350],[1,2,3,6,8,12,22,25,46,51,52,
73,143,169,172,351],[1,2,4,8,13,26,27,46,48,74,144,155,159,352],[1,2,4,5,8,13,
27,28,46,48,53,75,144,159,162,353],[1,2,3,4,5,8,12,13,14,19,46,47,48,49,50,68,
144,148,149,152,157,354],[1,2,4,5,8,13,27,28,46,48,50,75,144,156,158,355],[1,
2,3,4,5,6,8,13,15,16,19,29,46,48,49,50,52,76,144,150,151,157,161,356],[1,2,4,
5,8,13,28,30,46,48,50,77,144,158,163,357],[1,2,5,8,14,31,32,46,53,78,145,175,
176,358],[1,2,3,5,6,8,12,14,15,16,24,46,47,49,50,52,53,72,145,148,149,150,151,
154,165,359],[1,2,3,6,9,15,17,22,45,79,184,360],[1,2,3,6,8,15,17,22,46,79,183,
361],[1,2,4,8,13,26,27,47,48,74,152,155,156,362],[1,2,4,5,8,13,27,28,47,48,50,
75,152,158,159,363],[1,2,3,4,5,6,8,13,15,16,19,29,47,48,51,52,53,76,152,153,
154,160,161,364],[1,2,4,5,8,13,28,30,47,48,53,77,152,162,163,365],[1,2,3,6,8,
15,17,22,47,51,52,79,153,168,169,366],[1,2,3,5,6,8,15,16,20,22,33,47,51,52,53,
81,153,154,169,170,174,367],[1,2,3,6,8,15,18,23,47,51,52,80,153,171,173,368],[
1,2,3,6,8,15,18,25,47,51,52,82,153,172,173,369],[1,3,4,5,8,19,26,28,48,49,50,
89,155,157,158,370],[1,3,4,5,8,19,26,28,48,51,53,89,155,160,162,371],[1,4,6,8,
26,29,30,48,52,103,155,161,163,372],[1,3,4,5,8,19,27,48,49,50,90,156,157,159,
373],[1,3,4,5,8,19,27,30,48,51,53,97,156,160,163,374],[1,4,5,6,8,27,28,29,48,
52,53,104,156,161,162,375],[1,3,4,5,8,19,21,24,48,49,50,51,53,93,157,160,164,
165,166,376],[1,3,4,5,8,19,24,28,34,48,49,50,53,96,157,158,162,165,167,377],[
1,3,4,5,8,19,27,30,48,49,50,97,157,159,163,378],[1,3,4,5,8,19,24,28,34,48,50,
51,53,96,158,160,166,167,379],[1,4,5,6,8,27,28,29,48,50,52,104,158,159,161,
380],[1,3,4,5,8,19,27,48,51,53,90,159,160,381],[1,3,4,5,8,17,19,20,48,51,53,
83,160,168,170,382],[1,3,4,5,6,8,19,22,29,33,48,51,52,53,94,160,161,169,174,
383],[1,3,4,5,8,19,20,28,31,48,51,53,91,160,162,170,175,384],[1,3,4,5,8,19,30,
48,51,53,99,160,163,385],[1,3,4,5,8,19,23,25,48,51,53,95,160,171,172,386],[1,
3,4,5,8,19,32,48,51,53,92,160,176,387],[1,3,4,5,8,19,25,48,51,53,98,160,172,
388],[1,3,4,5,8,18,19,48,51,53,86,160,173,389],[1,4,5,6,8,28,29,30,48,52,53,
105,161,162,163,390],[1,3,8,17,21,23,49,51,84,164,168,171,391],[1,3,6,8,18,21,
22,49,51,52,87,164,169,173,392],[1,3,5,8,20,21,25,49,51,53,100,164,170,172,
393],[1,3,5,8,17,24,25,50,51,85,166,168,172,394],[1,3,5,6,8,18,22,24,50,51,52,
88,166,169,173,395],[1,3,5,8,20,23,24,50,51,53,101,166,170,171,396],[1,3,5,8,
20,24,25,50,51,53,102,166,170,172,397],[1,5,6,8,32,33,34,50,52,53,106,167,174,
176,398],[1,2,3,6,9,15,17,22,54,56,57,79,177,179,180,399],[1,2,3,6,9,15,18,25,
54,56,57,82,177,181,182,400],[1,3,5,9,17,24,25,55,56,85,178,179,181,401],[1,3,
5,6,9,18,22,24,55,56,57,88,178,180,182,402],[1,2,3,8,12,17,18,47,67,183,403],[
1,3,4,5,8,17,19,20,48,83,183,404],[1,3,8,17,21,23,49,84,183,405],[1,3,5,8,17,
24,25,50,85,183,406],[1,2,3,9,12,17,18,54,67,184,407],[1,3,5,9,17,24,25,55,85,
184,408],[1,3,4,5,10,17,19,20,58,83,185,409],[1,3,10,17,21,23,61,84,185,410],[
1,3,5,10,17,24,25,62,85,185,411],[1,3,5,11,17,24,25,64,85,186,412],[1,3,4,5,7,
19,26,28,39,89,189,413],[1,3,4,5,9,19,26,28,56,89,190,414],[1,3,4,5,10,19,21,
24,58,93,188,415],[1,3,6,11,18,21,22,65,87,187,416],[1,3,5,11,20,21,25,64,100,
187,417],[1,3,10,17,21,23,61,84,188,418],[1,3,6,10,18,21,22,63,87,188,419],[1,
3,5,10,20,21,25,62,100,188,420],[1,2,4,7,13,26,27,38,74,189,421],[1,4,6,7,26,
29,30,43,103,189,422],[1,2,4,9,13,26,27,54,74,190,423],[1,4,6,9,26,29,30,57,
103,190,424],[1,4,6,10,26,29,30,58,59,103,191,193,194,425],[1,3,4,5,10,19,26,
28,58,61,62,89,191,195,196,426],[1,4,6,10,26,29,30,58,63,103,191,197,198,
427],[1,4,6,11,26,29,30,65,103,192,428],[1,3,4,5,6,10,19,22,29,33,58,59,61,62,
63,94,193,195,197,202,203,429],[1,4,5,6,10,28,29,30,58,59,62,105,193,196,198,
430],[1,3,4,5,10,19,30,58,61,62,99,194,195,198,431],[1,4,5,6,10,28,29,30,58,
62,63,105,194,196,197,432],[1,2,5,9,14,31,32,54,78,199,433],[1,5,6,11,32,33,
34,65,106,201,434],[1,35,36,37,435],[1,7,8,9,10,11,107,108,109,110,111,436],[
1,4,26,66,205,437],[1,4,6,29,66,205,206,438],[1,4,30,66,205,439],[1,2,7,37,38,
112,207,440],[1,4,7,37,40,114,207,441],[1,2,7,37,41,112,207,442],[1,3,7,37,39,
118,207,443],[1,5,7,37,42,119,207,444],[1,6,7,37,43,120,207,445],[1,6,7,37,44,
120,207,446],[1,4,8,35,48,115,208,447],[1,3,8,35,49,113,208,448],[1,5,8,35,50,
116,208,449],[1,3,8,35,51,113,208,450],[1,5,8,35,53,116,208,451],[1,4,10,35,
58,115,209,452],[1,3,10,35,61,113,209,453],[1,5,10,35,62,116,209,454],[1,2,3,
4,5,12,13,14,17,18,19,20,26,27,28,31,32,67,68,69,74,75,78,83,86,89,90,91,92,
210,213,214,227,228,232,233,455],[1,2,3,4,5,6,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,29,33,67,68,69,70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,
95,100,101,210,211,212,215,216,219,220,223,224,229,234,456],[1,2,3,4,5,12,13,
14,17,18,19,20,24,25,27,28,30,34,67,68,69,75,77,83,85,86,96,97,98,99,102,210,
217,218,230,231,235,236,457],[1,2,3,4,5,6,12,13,14,15,16,19,21,24,26,27,28,29,
30,34,68,70,72,74,75,76,77,89,90,93,96,97,103,104,213,215,217,221,222,237,240,
458],[1,2,3,4,5,6,12,13,14,19,22,23,25,26,27,28,29,30,33,68,71,73,74,75,89,90,
94,95,98,99,103,105,213,216,218,238,239,241,242,459],[1,2,3,4,5,6,12,13,14,15,
16,19,20,21,24,25,28,29,30,31,32,68,70,72,76,77,78,91,92,93,98,99,100,102,105,
214,215,218,225,226,243,246,460],[1,2,3,4,5,6,12,13,14,19,20,22,23,24,25,27,
28,29,30,31,32,33,34,68,71,73,75,77,78,91,92,94,95,96,97,101,102,104,105,106,
214,216,217,244,245,247,248,461],[1,2,3,4,5,6,13,15,16,17,19,20,22,26,27,28,
29,30,31,33,74,76,77,79,81,83,89,91,94,97,99,103,104,105,221,223,225,227,231,
238,244,462],[1,2,3,4,5,6,13,15,16,18,19,23,25,26,27,28,29,30,32,74,76,77,80,
82,86,89,92,95,97,98,103,104,221,224,226,232,236,239,248,463],[1,2,3,4,5,6,13,
15,16,17,19,20,22,24,25,27,28,29,32,33,34,75,76,79,81,83,85,90,92,94,96,98,
102,104,106,222,223,226,228,230,241,247,464],[1,2,3,4,5,6,13,15,16,18,19,20,
23,24,25,27,28,29,30,31,34,75,76,77,80,82,86,90,91,95,96,99,101,102,104,105,
222,224,225,233,235,242,245,465],[1,3,4,5,17,19,20,21,23,24,25,26,28,31,34,83,
84,85,89,91,93,95,96,98,100,101,102,227,229,230,237,239,243,245,466],[1,3,4,5,
17,19,20,21,23,24,25,27,30,32,83,84,85,90,92,93,95,97,99,100,101,228,229,231,
240,242,246,248,467],[1,3,4,5,6,18,19,21,22,24,26,28,29,30,32,33,34,86,87,88,
89,92,93,94,96,99,103,105,106,232,234,235,237,238,246,247,468],[1,3,4,5,6,18,
19,20,21,22,24,25,27,28,29,30,31,33,86,87,88,90,91,93,94,97,98,100,102,104,
105,233,234,236,240,241,243,244,469],[1,35,66,470],[1,2,3,7,8,9,12,38,39,46,
51,56,107,121,143,249,256,471],[1,2,4,7,8,9,13,38,40,41,45,46,48,107,122,144,
249,251,254,472],[1,2,5,7,8,9,14,38,41,42,45,46,53,107,123,145,249,254,258,
473],[1,2,3,7,8,9,12,38,39,46,47,49,54,107,121,148,249,250,253,474],[1,2,5,7,
8,9,14,38,41,42,46,47,50,55,107,123,149,249,252,255,475],[1,2,3,6,7,8,9,15,38,
39,43,46,49,52,57,107,124,150,249,253,257,476],[1,2,5,6,7,8,9,16,38,42,44,46,
50,52,55,107,125,151,249,255,259,477],[1,2,4,7,8,9,13,38,40,41,47,48,54,107,
122,152,250,251,252,478],[1,2,5,7,8,9,14,38,41,42,45,46,47,50,54,55,107,123,
146,149,250,254,255,479],[1,2,3,6,7,8,9,15,38,39,43,47,51,52,54,56,57,107,124,
153,177,250,256,257,480],[1,2,5,6,7,8,9,16,38,42,44,47,52,53,54,107,125,154,
250,258,259,481],[1,3,4,5,7,8,9,19,39,40,42,48,49,50,55,107,128,157,251,253,
255,482],[1,3,4,5,7,8,9,19,39,40,42,48,51,53,56,107,128,160,251,256,258,483],[
1,4,6,7,8,9,29,40,43,44,48,52,57,107,139,161,251,257,259,484],[1,2,3,7,8,9,12,
39,41,45,46,47,49,107,129,148,252,253,254,485],[1,2,3,6,7,8,9,15,39,41,44,47,
51,52,56,107,135,153,252,256,259,486],[1,2,5,6,7,8,9,16,41,42,43,47,52,53,57,
107,140,154,252,257,258,487],[1,3,7,8,9,21,39,49,51,56,107,132,164,253,256,
488],[1,2,3,6,7,8,9,15,39,41,44,45,46,49,52,107,135,150,253,254,259,489],[1,3,
5,7,8,9,24,39,42,49,50,53,55,107,136,165,253,255,258,490],[1,2,3,7,8,9,12,39,
41,45,46,51,56,107,129,142,143,254,256,491],[1,2,5,6,7,8,9,16,41,42,43,45,46,
50,52,55,57,107,140,147,151,254,255,257,492],[1,3,5,7,8,9,24,39,42,50,51,55,
56,107,136,166,178,255,256,493],[1,3,7,8,9,17,39,51,56,107,126,168,179,256,
494],[1,3,6,7,8,9,22,39,43,51,52,56,57,107,133,169,180,256,257,495],[1,3,5,7,
8,9,20,39,42,51,53,56,107,130,170,256,258,496],[1,3,6,7,8,9,22,39,44,51,52,56,
107,137,169,256,259,497],[1,3,7,8,9,23,39,51,56,107,134,171,256,498],[1,3,7,8,
9,25,39,51,56,107,138,172,181,256,499],[1,3,7,8,9,18,39,51,56,107,127,173,256,
500],[1,3,7,8,9,18,39,51,56,107,131,173,182,256,501],[1,5,6,7,8,9,33,42,43,44,
52,53,57,107,141,174,257,258,259,502],[1,3,7,8,9,17,39,107,126,183,184,503],[
1,3,7,10,11,17,39,108,126,185,186,504],[1,3,7,10,11,21,39,108,132,187,188,
505],[1,4,6,7,10,11,29,40,43,44,58,59,60,108,139,193,260,261,262,506],[1,3,4,
5,7,10,11,19,39,40,42,58,61,62,64,108,128,195,260,263,264,507],[1,4,6,7,10,11,
29,40,43,44,58,63,65,108,139,197,260,265,266,508],[1,3,6,7,10,11,22,39,43,59,
61,63,65,108,133,202,261,263,265,509],[1,5,6,7,10,11,33,42,43,44,59,62,63,64,
108,141,203,261,264,266,510],[1,3,6,7,10,11,22,39,44,59,60,61,63,108,137,202,
262,263,266,511],[1,5,6,7,10,11,33,42,43,44,59,60,62,63,64,65,108,141,203,204,
262,264,265,512],[1,2,4,8,10,13,46,47,48,58,109,144,152,267,269,513],[1,2,3,8,
10,12,46,47,49,61,109,148,267,270,514],[1,2,5,8,10,14,46,47,50,62,109,149,267,
271,515],[1,2,5,8,9,11,14,45,46,47,50,54,55,64,110,146,149,268,273,274,516],[
1,4,7,8,9,26,48,107,155,189,190,517],[1,4,8,10,26,48,58,109,155,191,269,518],[
1,4,8,9,11,26,48,110,155,190,192,519],[1,4,8,10,27,48,58,109,156,159,269,
520],[1,3,4,5,8,10,19,48,49,50,58,61,62,109,157,195,269,270,271,521],[1,4,5,8,
10,28,48,50,58,62,109,158,196,269,271,522],[1,4,6,8,10,29,48,58,59,63,109,193,
197,269,272,523],[1,4,8,10,30,48,58,109,194,198,269,524],[1,3,6,8,10,22,49,59,
61,63,109,202,270,272,525],[1,3,8,10,23,49,61,109,270,526],[1,3,8,10,25,49,61,
109,270,527],[1,5,6,8,10,33,50,59,62,63,109,203,271,272,528],[1,3,8,10,17,51,
109,168,183,185,529],[1,3,8,9,11,17,51,110,168,184,186,530],[1,5,8,9,11,31,53,
110,175,199,200,531],[1,5,6,9,10,11,33,55,59,60,62,63,64,65,111,203,204,275,
276,277,532],[1,3,8,9,11,17,56,110,179,183,186,533],[1,3,9,10,11,17,56,111,
179,184,185,186,534],[1,4,7,10,11,26,58,108,189,191,192,535],[1,4,9,10,11,26,
58,111,190,191,192,536],[1,2,4,13,26,27,37,74,112,114,278,288,289,537],[1,2,3,
4,5,6,13,15,16,19,29,37,76,112,114,118,119,120,278,279,280,290,292,538],[1,2,
4,5,13,28,30,37,77,112,114,119,278,291,293,539],[1,2,3,6,15,18,23,37,80,112,
118,120,279,298,299,540],[1,2,3,6,15,18,25,37,82,112,118,120,279,298,300,
541],[1,3,4,5,17,19,20,35,83,113,115,116,281,282,283,542],[1,3,17,21,23,35,84,
113,281,284,285,543],[1,3,5,17,24,25,35,85,113,116,281,286,287,544],[1,3,4,5,
19,27,35,90,113,115,116,282,294,545],[1,3,4,5,19,32,35,92,113,115,116,282,296,
546],[1,3,4,5,19,21,24,35,93,113,115,116,282,284,286,547],[1,3,4,5,19,23,25,
35,95,113,115,116,282,285,287,548],[1,3,4,5,19,27,30,35,97,113,115,116,282,
294,295,549],[1,3,4,5,19,30,35,99,113,115,116,282,295,550],[1,3,5,20,21,25,35,
100,113,116,283,284,287,551],[1,3,5,20,23,24,35,101,113,116,283,285,286,552],[
1,3,4,5,19,26,28,37,89,114,118,119,288,290,291,553],[1,4,6,26,29,30,37,103,
114,120,288,292,293,554],[1,3,4,5,19,27,30,37,97,114,118,119,289,290,293,
555],[1,4,5,6,27,28,29,37,104,114,119,120,289,291,292,556],[1,3,4,5,18,19,37,
86,114,118,119,290,298,557],[1,3,4,5,19,32,37,92,114,118,119,290,301,558],[1,
3,4,5,19,23,25,37,95,114,118,119,290,299,300,559],[1,3,4,5,19,25,37,98,114,
118,119,290,300,560],[1,4,7,40,66,205,302,561],[1,6,7,43,66,206,302,562],[1,6,
7,44,66,206,302,563],[1,4,10,58,66,205,304,564],[1,6,11,60,66,206,303,565],[1,
6,10,59,66,206,304,566],[1,8,10,35,109,208,209,567],[1,2,3,4,5,7,12,13,14,17,
18,19,20,38,39,40,41,42,67,68,69,83,86,121,122,123,126,127,128,129,130,131,
210,305,306,307,318,319,323,324,568],[1,2,3,6,7,12,15,17,18,21,22,23,38,39,43,
67,70,71,79,80,84,87,121,124,126,127,132,133,134,211,305,308,309,314,315,320,
325,569],[1,2,3,5,6,7,12,14,15,16,17,18,22,24,25,38,39,41,42,44,67,72,73,79,
82,85,88,121,123,125,126,127,135,136,137,138,212,305,310,311,321,322,326,327,
570],[1,2,3,4,5,6,7,12,13,14,15,16,19,21,24,29,38,39,40,41,42,43,44,68,70,72,
76,93,121,122,123,124,125,128,129,132,135,136,139,140,215,306,308,310,312,313,
328,331,571],[1,2,3,4,5,6,7,12,13,14,19,22,23,25,29,33,38,39,40,41,42,43,44,
68,71,73,94,95,121,122,123,128,129,133,134,137,138,139,141,216,306,309,311,
329,330,332,333,572],[1,2,3,5,6,7,12,15,16,18,20,21,22,25,33,38,39,42,43,44,
69,70,73,81,82,87,100,121,124,125,130,131,132,137,138,141,219,307,308,311,316,
317,334,337,573],[1,2,3,5,6,7,12,14,15,16,18,20,22,23,24,33,38,39,41,42,43,44,
69,71,72,80,81,88,101,121,123,125,130,131,133,134,135,136,140,141,220,307,309,
310,335,336,338,339,574],[1,2,3,4,5,6,7,13,15,16,17,19,20,22,29,33,38,39,40,
41,42,43,44,76,79,81,83,94,122,124,125,126,128,130,133,135,137,139,140,141,
223,312,314,316,318,321,329,335,575],[1,2,3,4,5,6,7,13,15,16,18,19,23,25,29,
38,39,40,41,42,43,44,76,80,82,86,95,122,124,125,127,128,131,134,135,138,139,
140,224,312,315,317,323,326,330,339,576],[1,2,3,5,6,7,12,14,15,16,17,18,22,24,
25,38,39,41,42,43,67,72,73,79,82,85,88,123,124,126,129,131,133,136,138,140,
212,313,314,317,319,322,332,338,577],[1,2,3,5,6,7,12,14,15,16,18,20,22,23,24,
33,38,39,41,42,43,44,69,71,72,80,81,88,101,123,124,125,127,129,130,134,136,
137,140,141,220,313,315,316,324,327,333,336,578],[1,3,4,5,7,17,19,20,21,23,24,
25,39,40,42,83,84,85,93,95,100,101,126,128,130,132,134,136,138,229,318,320,
322,328,330,334,336,579],[1,2,3,6,7,12,15,17,18,21,22,23,39,41,44,67,70,71,79,
80,84,87,126,129,131,132,134,135,137,211,319,320,321,331,333,337,339,580],[1,
3,4,5,6,7,18,19,21,22,24,29,33,39,40,42,43,44,86,87,88,93,94,127,128,131,132,
133,136,137,139,141,234,323,325,327,328,329,337,338,581],[1,2,3,5,6,7,12,15,
16,18,20,21,22,25,33,39,41,42,43,44,69,70,73,81,82,87,100,127,129,130,132,133,
135,138,140,141,219,324,325,326,331,332,334,335,582],[1,2,3,4,5,8,12,13,14,17,
18,19,20,46,48,51,53,67,68,69,83,86,143,144,145,160,168,170,173,210,341,342,
343,382,389,583],[1,2,3,5,6,9,12,14,15,16,17,18,22,24,25,45,54,55,56,57,67,72,
73,79,82,85,88,142,146,147,177,178,179,180,181,182,212,340,346,347,399,400,
401,402,584],[1,2,3,6,8,12,15,17,18,21,22,23,46,47,49,51,52,67,70,71,79,80,84,
87,143,148,150,153,164,168,169,171,173,211,341,348,349,366,368,391,392,585],[
1,2,3,5,6,8,12,14,15,16,17,18,22,24,25,46,47,50,51,52,67,72,73,79,82,85,88,
143,149,151,153,166,168,169,172,173,212,341,350,351,366,369,394,395,586],[1,2,
3,4,5,8,12,13,14,19,26,27,28,46,48,51,53,68,74,75,89,90,143,144,145,155,159,
160,162,213,342,352,353,371,381,587],[1,2,3,4,5,8,12,13,14,19,20,28,31,32,46,
48,51,53,68,78,91,92,143,144,145,160,162,170,175,176,214,342,358,384,387,
588],[1,2,3,4,5,6,10,12,13,14,15,16,19,21,24,29,58,59,68,70,72,76,93,188,193,
215,344,415,589],[1,2,3,4,5,6,8,12,13,14,15,16,19,21,24,29,46,47,48,49,50,51,
52,53,68,70,72,76,93,143,144,145,148,149,150,151,152,153,154,157,160,161,164,
165,166,215,342,348,350,354,356,359,364,376,590],[1,2,3,4,5,6,8,12,13,14,19,
22,23,25,29,33,46,48,51,52,53,68,71,73,94,95,143,144,145,160,161,169,171,172,
174,216,342,349,351,383,386,591],[1,2,3,4,5,8,12,13,14,19,24,27,28,30,34,46,
48,50,51,53,68,75,77,96,97,143,144,145,156,158,160,163,166,167,217,342,355,
357,374,379,592],[1,2,3,4,5,8,12,13,14,19,25,30,46,48,51,53,68,98,99,143,144,
145,160,163,172,218,342,385,388,593],[1,2,3,5,6,8,12,15,16,18,20,21,22,25,33,
46,47,49,51,52,53,69,70,73,81,82,87,100,143,148,150,153,154,164,169,170,172,
173,174,219,343,348,351,367,369,392,393,594],[1,2,3,5,6,8,12,14,15,16,18,20,
22,23,24,33,46,47,50,51,52,53,69,71,72,80,81,88,101,143,149,151,153,154,166,
169,170,171,173,174,220,343,349,350,367,368,395,396,595],[1,2,3,6,10,12,15,17,
18,21,22,23,59,61,63,67,70,71,79,80,84,87,188,202,211,344,418,419,596],[1,2,3,
5,6,10,12,15,16,18,20,21,22,25,33,59,62,63,69,70,73,81,82,87,100,188,203,219,
344,419,420,597],[1,2,3,5,6,11,12,15,16,18,20,21,22,25,33,60,64,65,69,70,73,
81,82,87,100,187,204,219,345,416,417,598],[1,2,3,4,5,8,12,13,14,19,26,27,28,
46,47,48,49,50,68,74,75,89,90,144,148,149,152,155,156,157,158,159,213,352,354,
355,362,363,370,373,599],[1,2,3,4,5,6,8,13,15,16,19,26,27,28,29,30,46,48,49,
50,52,74,76,77,89,97,103,104,144,150,151,155,157,158,159,161,163,221,352,356,
357,370,372,378,380,600],[1,2,3,4,5,8,12,13,14,19,24,27,28,30,34,46,47,48,49,
50,53,68,75,77,96,97,144,148,149,152,157,158,159,162,163,165,167,217,353,354,
357,363,365,377,378,601],[1,2,3,4,5,6,8,13,15,16,19,24,27,28,29,34,46,48,49,
50,52,53,75,76,90,96,104,144,150,151,156,157,158,159,161,162,165,167,222,353,
355,356,373,375,377,380,602],[1,2,3,4,5,6,8,13,15,16,17,19,20,22,29,33,46,48,
76,79,81,83,94,144,183,223,361,404,603],[1,2,3,5,6,9,12,14,15,16,17,18,22,24,
25,45,54,55,67,72,73,79,82,85,88,146,184,212,360,407,408,604],[1,2,3,6,8,12,
15,17,18,21,22,23,46,47,49,67,70,71,79,80,84,87,148,183,211,361,403,405,605],[
1,2,3,5,6,8,12,14,15,16,17,18,22,24,25,46,47,50,67,72,73,79,82,85,88,149,183,
212,361,403,406,606],[1,2,3,4,5,6,8,13,15,16,19,26,27,28,29,30,47,48,51,52,53,
74,76,77,89,97,103,104,152,153,154,155,156,160,161,162,163,221,362,364,365,
371,372,374,375,607],[1,2,3,4,5,6,8,13,15,16,19,24,27,28,29,34,47,48,50,51,52,
53,75,76,90,96,104,152,153,154,158,159,160,161,166,167,222,363,364,379,380,
381,608],[1,2,3,4,5,6,8,13,15,16,17,19,20,22,29,33,47,48,51,52,53,76,79,81,83,
94,152,153,154,160,161,168,169,170,174,223,364,366,367,382,383,609],[1,2,3,4,
5,6,8,13,15,16,19,20,28,29,30,31,47,48,51,52,53,76,77,91,99,105,152,153,154,
160,161,162,163,170,175,225,364,365,384,385,390,610],[1,2,3,4,5,6,8,13,15,16,
18,19,23,25,29,47,48,51,52,53,76,80,82,86,95,152,153,154,160,161,171,172,173,
224,364,368,369,386,389,611],[1,2,3,4,5,6,8,13,15,16,19,25,29,32,47,48,51,52,
53,76,92,98,152,153,154,160,161,172,176,226,364,387,388,612],[1,3,4,5,8,19,21,
24,26,28,34,48,49,50,51,53,89,93,96,155,157,158,160,162,164,165,166,167,237,
370,371,376,377,379,613],[1,3,4,5,8,17,19,20,26,28,31,48,51,53,83,89,91,155,
160,162,168,170,175,227,371,382,384,614],[1,3,4,5,6,8,19,22,26,28,29,30,33,48,
51,52,53,89,94,99,103,105,155,160,161,162,163,169,174,238,371,372,383,385,390,
615],[1,3,4,5,8,19,23,25,26,28,48,51,53,89,95,98,155,160,162,171,172,239,371,
386,388,616],[1,3,4,5,8,18,19,26,28,32,48,51,53,86,89,92,155,160,162,173,176,
232,371,387,389,617],[1,3,4,5,8,19,21,24,27,30,48,49,50,51,53,90,93,97,156,
157,159,160,163,164,165,166,240,373,374,376,378,381,618],[1,3,4,5,8,17,19,20,
27,30,48,51,53,83,97,99,156,160,163,168,170,231,374,382,385,619],[1,3,4,5,6,8,
19,20,22,27,28,29,30,31,33,48,51,52,53,91,94,97,104,105,156,160,161,162,163,
169,170,174,175,244,374,375,383,384,390,620],[1,3,4,5,8,19,23,25,27,30,32,48,
51,53,92,95,97,156,160,163,171,172,176,248,374,386,387,621],[1,3,4,5,8,18,19,
25,27,30,48,51,53,86,97,98,156,160,163,172,173,236,374,388,389,622],[1,3,4,5,
8,17,19,20,21,23,24,25,48,49,50,51,53,83,84,85,93,95,100,101,157,160,164,165,
166,168,170,171,172,229,376,382,386,391,393,394,396,623],[1,3,4,5,6,8,18,19,
21,22,24,29,33,48,49,50,51,52,53,86,87,88,93,94,157,160,161,164,165,166,169,
173,174,234,376,383,389,392,395,624],[1,3,4,5,8,19,20,21,24,25,28,31,48,49,50,
51,53,91,93,98,100,102,157,160,162,164,165,166,170,172,175,243,376,384,388,
393,397,625],[1,3,4,5,8,19,21,24,30,32,48,49,50,51,53,92,93,99,157,160,163,
164,165,166,176,246,376,385,387,626],[1,3,4,5,8,17,19,20,24,25,28,34,48,50,51,
53,83,85,96,98,102,158,160,166,167,168,170,172,230,379,382,388,394,397,627],[
1,3,4,5,6,8,19,22,24,28,29,32,33,34,48,50,51,52,53,92,94,96,106,158,160,161,
166,167,169,174,176,247,379,383,387,398,628],[1,3,4,5,8,19,20,23,24,25,28,31,
34,48,50,51,53,91,95,96,101,102,158,160,162,166,167,170,171,172,175,245,379,
384,386,396,397,629],[1,3,4,5,8,18,19,24,28,30,34,48,50,51,53,86,96,99,158,
160,163,166,167,173,235,379,385,389,630],[1,3,4,5,8,17,19,20,27,32,48,51,53,
83,90,92,159,160,168,170,176,228,381,382,387,631],[1,3,4,5,6,8,19,22,25,27,29,
33,48,51,52,53,90,94,98,159,160,161,169,172,174,241,381,383,388,632],[1,3,4,5,
8,18,19,20,27,28,31,48,51,53,86,90,91,159,160,162,170,173,175,233,381,384,389,
633],[1,3,4,5,8,19,23,25,27,30,48,51,53,90,95,99,159,160,163,171,172,242,381,
385,386,634],[1,2,3,4,5,8,12,13,14,17,18,19,20,47,48,67,68,69,83,86,152,183,
210,403,404,635],[1,3,4,5,8,17,19,20,26,28,31,48,83,89,91,155,183,227,404,
636],[1,3,4,5,8,17,19,20,27,32,48,83,90,92,156,183,228,404,637],[1,3,4,5,8,17,
19,20,21,23,24,25,48,49,50,83,84,85,93,95,100,101,157,183,229,404,405,406,
638],[1,3,4,5,8,17,19,20,24,25,28,34,48,50,83,85,96,98,102,158,183,230,404,
406,639],[1,3,4,5,8,17,19,20,27,30,48,83,97,99,159,183,231,404,640],[1,3,4,5,
7,17,19,20,26,28,31,39,83,89,91,126,189,227,413,641],[1,3,4,5,9,17,19,20,26,
28,31,83,89,91,184,190,199,227,642],[1,3,4,5,9,17,19,20,26,28,31,56,83,89,91,
179,190,227,414,643],[1,3,4,5,10,17,19,20,26,28,31,58,83,89,91,185,191,227,
409,644],[1,3,4,5,11,17,19,20,26,28,31,83,89,91,186,192,200,227,645],[1,3,4,5,
10,17,19,20,21,23,24,25,58,61,62,83,84,85,93,95,100,101,185,195,229,409,410,
411,646],[1,3,4,5,10,17,19,20,24,25,28,34,58,62,83,85,96,98,102,185,196,230,
409,411,647],[1,2,3,4,5,7,12,13,14,19,26,27,28,38,39,68,74,75,89,90,121,189,
213,413,421,648],[1,3,4,5,7,18,19,26,28,32,39,86,89,92,127,189,232,413,649],[
1,2,3,4,5,6,7,13,15,16,19,26,27,28,29,30,38,39,43,74,76,77,89,97,103,104,124,
189,221,413,421,422,650],[1,3,4,5,7,19,21,24,26,28,34,39,89,93,96,132,189,237,
413,651],[1,3,4,5,6,7,19,22,26,28,29,30,33,39,43,89,94,99,103,105,133,189,238,
413,422,652],[1,3,4,5,7,19,23,25,26,28,39,89,95,98,134,189,239,413,653],[1,3,
4,5,11,19,21,24,26,28,34,89,93,96,187,192,201,237,654],[1,3,4,5,10,19,21,24,
26,28,34,58,89,93,96,188,191,237,415,655],[1,2,3,4,5,6,9,13,15,16,19,26,27,28,
29,30,54,56,57,74,76,77,89,97,103,104,177,190,221,414,423,424,656],[1,3,4,5,6,
9,19,22,26,28,29,30,33,56,57,89,94,99,103,105,180,190,238,414,424,657],[1,3,4,
5,10,19,21,24,27,30,58,90,93,97,188,194,240,415,658],[1,3,4,5,10,17,19,20,21,
23,24,25,58,61,62,83,84,85,93,95,100,101,188,195,229,415,418,420,659],[1,3,4,
5,6,10,18,19,21,22,24,29,33,58,63,86,87,88,93,94,188,197,234,415,419,660],[1,
3,4,5,10,19,20,21,24,25,28,31,58,62,91,93,98,100,102,188,196,243,415,420,
661],[1,3,4,5,10,19,21,24,30,32,58,92,93,99,188,198,246,415,662],[1,3,4,5,6,
10,19,22,26,28,29,30,33,58,59,61,62,63,89,94,99,103,105,191,193,194,195,196,
197,198,202,203,238,425,426,427,429,430,431,432,663],[1,4,35,36,37,114,115,
435,664],[1,3,35,36,37,113,118,435,665],[1,5,35,36,37,116,117,119,435,666],[1,
2,7,8,9,10,11,38,46,47,54,107,108,109,110,111,249,250,267,273,436,667],[1,4,7,
8,9,10,11,40,48,58,107,108,109,110,111,251,260,269,436,668],[1,2,7,8,9,10,11,
41,45,46,47,107,108,109,110,111,252,254,267,268,436,669],[1,3,7,8,9,10,11,39,
49,61,107,108,109,110,111,253,263,270,436,670],[1,5,7,8,9,10,11,42,50,55,62,
64,107,108,109,110,111,255,264,271,274,275,436,671],[1,6,7,8,9,10,11,43,59,63,
65,107,108,109,110,111,261,265,272,276,436,672],[1,6,7,8,9,10,11,44,59,60,63,
107,108,109,110,111,262,266,272,277,436,673],[1,4,6,26,29,30,66,103,205,206,
437,438,439,674],[1,2,4,7,13,37,38,40,41,112,114,122,207,278,440,441,442,
675],[1,2,3,6,7,15,37,38,39,43,112,118,120,124,207,279,440,443,445,676],[1,2,
5,6,7,16,37,38,42,44,112,119,120,125,207,280,440,444,446,677],[1,3,4,5,7,19,
37,39,40,42,114,118,119,128,207,290,441,443,444,678],[1,4,6,7,29,37,40,43,44,
114,120,139,207,292,441,445,446,679],[1,2,3,6,7,15,37,39,41,44,112,118,120,
135,207,279,442,443,446,680],[1,2,5,6,7,16,37,41,42,43,112,119,120,140,207,
280,442,444,445,681],[1,3,7,18,37,39,118,127,207,298,443,682],[1,3,7,18,37,39,
118,131,207,298,443,683],[1,3,7,23,37,39,118,134,207,299,443,684],[1,3,7,25,
37,39,118,138,207,300,443,685],[1,4,8,27,35,48,115,156,208,294,447,686],[1,3,
4,5,8,19,35,48,49,50,113,115,116,157,208,282,447,448,449,687],[1,4,8,27,35,48,
115,159,208,294,447,688],[1,3,4,5,8,19,35,48,51,53,113,115,116,160,208,282,
447,450,451,689],[1,4,8,30,35,48,115,163,208,295,447,690],[1,3,8,21,35,49,51,
113,164,208,284,448,450,691],[1,3,5,8,24,35,49,50,53,113,116,165,208,286,448,
449,451,692],[1,3,5,8,24,35,50,51,113,116,166,208,286,449,450,693],[1,3,8,17,
35,51,113,168,208,281,450,694],[1,3,5,8,20,35,51,53,113,116,170,208,283,450,
451,695],[1,3,8,23,35,51,113,171,208,285,450,696],[1,3,8,25,35,51,113,172,208,
287,450,697],[1,5,8,32,35,53,116,176,208,296,451,698],[1,3,8,17,35,113,183,
208,281,699],[1,3,10,17,35,113,185,209,281,700],[1,3,10,21,35,113,188,209,284,
701],[1,4,7,26,37,114,189,207,288,702],[1,4,10,30,35,58,115,194,209,295,452,
703],[1,3,4,5,10,19,35,58,61,62,113,115,116,195,209,282,452,453,454,704],[1,4,
10,30,35,58,115,198,209,295,452,705],[1,3,10,21,37,61,118,188,706],[1,3,8,17,
37,49,118,183,707],[1,4,7,26,35,40,115,189,708],[1,5,9,31,36,55,117,199,709],[
1,5,11,34,36,64,117,201,710],[1,5,11,34,36,64,117,201,711],[1,7,10,11,66,108,
302,303,304,712],[1,2,3,4,5,6,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,
86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,210,211,
212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,455,
456,457,458,459,460,461,462,463,464,465,466,467,468,469,713],[1,4,35,66,115,
205,470,714],[1,2,3,7,8,9,12,17,18,38,39,46,51,56,67,107,121,126,127,143,168,
173,179,249,256,305,341,471,494,500,715],[1,2,3,4,5,7,8,9,12,13,14,19,38,39,
40,41,42,45,46,48,51,53,56,68,107,121,122,123,128,129,142,143,144,145,160,249,
251,254,256,258,306,342,471,472,473,483,491,716],[1,2,3,5,7,8,9,12,18,20,38,
39,42,46,51,53,56,69,107,121,130,131,143,170,173,182,249,256,258,307,343,471,
496,501,717],[1,2,3,6,7,10,11,12,15,21,38,39,43,59,70,108,121,124,132,187,188,
261,308,344,505,718],[1,2,3,6,7,8,9,12,15,21,38,39,43,46,47,49,51,52,54,56,57,
70,107,121,124,132,143,148,150,153,164,177,249,250,253,256,257,308,348,471,
474,476,480,488,719],[1,2,3,6,7,8,9,12,22,23,38,39,43,46,51,52,56,57,71,107,
121,133,134,143,169,171,180,249,256,257,309,349,471,495,498,720],[1,2,3,5,6,7,
8,9,12,14,15,16,24,38,39,41,42,44,46,47,50,51,52,55,56,72,107,121,123,125,135,
136,143,149,151,153,166,178,249,252,255,256,259,310,350,471,475,477,486,493,
721],[1,2,3,6,7,8,9,12,22,25,38,39,44,46,51,52,56,73,107,121,137,138,143,169,
172,181,249,256,259,311,351,471,497,499,722],[1,2,3,4,5,7,8,9,12,13,14,19,38,
39,40,41,42,45,46,47,48,49,50,54,55,68,107,121,122,123,128,129,144,146,148,
149,152,157,249,250,251,252,253,254,255,306,354,472,474,475,478,479,482,485,
723],[1,2,3,4,5,6,7,8,9,13,15,16,19,29,38,39,40,41,42,43,44,45,46,48,49,50,52,
55,57,76,107,122,124,125,128,135,139,140,144,147,150,151,157,161,249,251,253,
254,255,257,259,312,356,472,476,477,482,484,489,492,724],[1,2,3,5,6,7,8,9,12,
14,15,16,24,38,39,41,42,44,45,46,47,49,50,52,53,54,55,72,107,121,123,125,135,
136,145,146,148,149,150,151,154,165,249,250,253,254,255,258,259,310,359,473,
474,477,479,481,489,490,725],[1,2,3,5,6,7,8,9,12,14,15,16,24,38,39,41,42,43,
45,46,47,49,50,52,53,55,57,72,107,123,124,129,136,140,145,147,148,149,150,151,
154,165,249,252,253,254,255,257,258,313,359,473,475,476,485,487,490,492,726],[
1,2,3,6,7,8,9,15,17,22,38,39,43,46,79,107,124,126,133,183,184,249,314,361,503,
727],[1,2,3,4,5,6,7,8,9,13,15,16,19,29,38,39,40,41,42,43,44,47,48,51,52,53,54,
56,57,76,107,122,124,125,128,135,139,140,152,153,154,160,161,177,250,251,252,
256,257,258,259,312,364,478,480,481,483,484,486,487,728],[1,2,3,5,6,7,8,9,12,
14,15,16,24,38,39,41,42,43,45,46,47,50,51,52,54,55,56,57,72,107,123,124,129,
136,140,142,143,146,147,149,151,153,166,177,178,250,254,255,256,257,313,346,
350,479,480,491,492,493,729],[1,2,3,6,7,8,9,15,17,22,38,39,43,47,51,52,54,56,
57,79,107,124,126,133,153,168,169,177,179,180,250,256,257,314,366,399,480,494,
495,730],[1,2,3,5,6,7,8,9,15,16,20,22,33,38,39,42,43,44,47,51,52,53,54,56,57,
81,107,124,125,130,137,141,153,154,169,170,174,177,250,256,257,258,259,316,
367,480,481,496,497,502,731],[1,2,3,6,7,8,9,15,18,23,38,39,43,47,51,52,54,56,
57,80,107,124,127,134,153,171,173,177,250,256,257,315,368,480,498,500,732],[1,
2,3,6,7,8,9,15,18,25,38,39,43,47,51,52,54,56,57,82,107,124,131,138,153,172,
173,177,181,182,250,256,257,317,369,400,480,499,501,733],[1,3,4,5,7,8,9,19,21,
24,39,40,42,48,49,50,51,53,55,56,93,107,128,132,136,157,160,164,165,166,178,
251,253,255,256,258,328,376,482,483,488,490,493,734],[1,3,4,5,7,8,9,17,19,20,
39,40,42,48,51,53,56,83,107,126,128,130,160,168,170,179,251,256,258,318,382,
483,494,496,735],[1,3,4,5,6,7,8,9,19,22,29,33,39,40,42,43,44,48,51,52,53,56,
57,94,107,128,133,137,139,141,160,161,169,174,180,251,256,257,258,259,329,383,
483,484,495,497,502,736],[1,3,4,5,7,8,9,19,23,25,39,40,42,48,51,53,56,95,107,
128,134,138,160,171,172,181,251,256,258,330,386,483,498,499,737],[1,3,4,5,7,8,
9,18,19,39,40,42,48,51,53,56,86,107,127,128,131,160,173,182,251,256,258,323,
389,483,500,501,738],[1,2,3,6,7,8,9,12,15,21,39,41,44,45,46,47,49,51,52,56,70,
107,129,132,135,142,143,148,150,153,164,252,253,254,256,259,331,348,485,486,
488,489,491,739],[1,2,3,6,7,8,9,15,17,22,39,41,44,47,51,52,56,79,107,126,135,
137,153,168,169,179,252,256,259,321,366,486,494,497,740],[1,2,3,5,6,7,8,9,15,
16,20,22,33,39,41,42,43,44,47,51,52,53,56,57,81,107,130,133,135,140,141,153,
154,169,170,174,180,252,256,257,258,259,335,367,486,487,495,496,502,741],[1,2,
3,6,7,8,9,15,18,23,39,41,44,47,51,52,56,80,107,131,134,135,153,171,173,182,
252,256,259,339,368,486,498,501,742],[1,2,3,6,7,8,9,15,18,25,39,41,44,47,51,
52,56,82,107,127,135,138,153,172,173,181,252,256,259,326,369,486,499,500,
743],[1,3,7,8,9,17,21,23,39,49,51,56,84,107,126,132,134,164,168,171,179,253,
256,320,391,488,494,498,744],[1,3,6,7,8,9,18,21,22,39,43,49,51,52,56,57,87,
107,127,132,133,164,169,173,180,253,256,257,325,392,488,495,500,745],[1,3,5,7,
8,9,20,21,25,39,42,49,51,53,56,100,107,130,132,138,164,170,172,181,253,256,
258,334,393,488,496,499,746],[1,3,6,7,8,9,18,21,22,39,44,49,51,52,56,87,107,
131,132,137,164,169,173,182,253,256,259,337,392,488,497,501,747],[1,2,3,7,8,9,
12,17,18,39,41,45,46,51,56,67,107,126,129,131,142,143,168,173,179,182,254,256,
319,340,341,491,494,501,748],[1,2,3,6,7,8,9,12,22,25,39,41,43,45,46,51,52,56,
57,73,107,129,133,138,142,143,169,172,180,181,254,256,257,332,347,351,491,495,
499,749],[1,2,3,5,7,8,9,12,18,20,39,41,42,45,46,51,53,56,69,107,127,129,130,
142,143,170,173,254,256,258,324,343,491,496,500,750],[1,2,3,6,7,8,9,12,22,23,
39,41,44,45,46,51,52,56,71,107,129,134,137,142,143,169,171,254,256,259,333,
349,491,497,498,751],[1,3,5,7,8,9,17,24,25,39,42,50,51,55,56,85,107,126,136,
138,166,168,172,178,179,181,255,256,322,394,401,493,494,499,752],[1,3,5,6,7,8,
9,18,22,24,39,42,43,50,51,52,55,56,57,88,107,131,133,136,166,169,173,178,180,
182,255,256,257,338,395,402,493,495,501,753],[1,3,5,7,8,9,20,23,24,39,42,50,
51,53,55,56,101,107,130,134,136,166,170,171,178,255,256,258,336,396,493,496,
498,754],[1,3,5,6,7,8,9,18,22,24,39,42,44,50,51,52,55,56,88,107,127,136,137,
166,169,173,178,255,256,259,327,395,493,497,500,755],[1,2,3,7,8,9,12,17,18,38,
39,47,54,67,107,121,126,127,183,184,250,305,403,407,503,756],[1,3,4,5,7,8,9,
17,19,20,39,40,42,48,83,107,126,128,130,183,184,251,318,404,503,757],[1,2,3,7,
8,9,12,17,18,39,41,47,67,107,126,129,131,183,184,252,319,403,503,758],[1,3,7,
8,9,17,21,23,39,49,84,107,126,132,134,183,184,253,320,405,503,759],[1,2,3,6,7,
8,9,15,17,22,39,41,44,45,46,79,107,126,135,137,183,184,254,321,360,361,503,
760],[1,3,5,7,8,9,17,24,25,39,42,50,55,85,107,126,136,138,183,184,255,322,406,
408,503,761],[1,3,4,5,7,10,11,17,19,20,39,40,42,58,83,108,126,128,130,185,186,
260,318,409,504,762],[1,3,7,10,11,17,21,23,39,61,84,108,126,132,134,185,186,
263,320,410,504,763],[1,3,5,7,10,11,17,24,25,39,42,62,64,85,108,126,136,138,
185,186,264,322,411,412,504,764],[1,3,4,5,7,10,11,19,21,24,39,40,42,58,93,108,
128,132,136,187,188,260,328,415,505,765],[1,2,3,6,7,10,11,12,15,21,39,41,44,
59,60,70,108,129,132,135,187,188,262,331,344,345,505,766],[1,3,7,10,11,17,21,
23,39,61,84,108,126,132,134,187,188,263,320,418,505,767],[1,3,6,7,10,11,18,21,
22,39,43,63,65,87,108,127,132,133,187,188,265,325,416,419,505,768],[1,3,5,7,
10,11,20,21,25,39,42,62,64,100,108,130,132,138,187,188,264,334,417,420,505,
769],[1,3,6,7,10,11,18,21,22,39,44,63,87,108,131,132,137,187,188,266,337,419,
505,770],[1,3,4,5,6,7,10,11,19,22,29,33,39,40,42,43,44,58,59,60,61,62,63,64,
65,94,108,128,133,137,139,141,193,195,197,202,203,204,260,261,262,263,264,265,
266,329,429,506,507,508,509,510,511,512,771],[1,2,4,8,10,13,26,27,46,47,48,58,
74,109,144,152,155,156,159,191,267,269,352,362,513,518,520,772],[1,2,3,4,5,8,
10,12,13,14,19,46,47,48,49,50,58,61,62,68,109,144,148,149,152,157,195,267,269,
270,271,354,513,514,515,521,773],[1,2,4,5,8,10,13,27,28,46,47,48,50,58,62,75,
109,144,152,156,158,159,196,267,269,271,355,363,513,520,522,774],[1,2,3,6,8,
10,12,22,23,46,47,49,59,61,63,71,109,148,202,267,270,272,514,525,526,775],[1,
2,3,6,8,10,12,22,25,46,47,49,59,61,63,73,109,148,202,267,270,272,514,525,527,
776],[1,2,3,6,8,10,15,17,22,46,47,51,52,79,109,153,168,169,183,185,267,361,
366,529,777],[1,2,3,6,8,9,11,15,17,22,45,47,51,52,79,110,153,168,169,184,186,
268,360,366,530,778],[1,2,4,7,8,9,13,26,27,38,47,48,54,74,107,152,155,156,189,
190,250,362,421,423,517,779],[1,2,4,7,8,9,13,26,27,38,46,48,74,107,144,155,
159,189,190,249,352,421,517,780],[1,3,4,5,7,8,9,19,26,28,39,48,49,50,89,107,
155,157,158,189,190,253,370,413,517,781],[1,3,4,5,7,8,9,19,26,28,39,48,51,53,
56,89,107,155,160,162,189,190,256,371,413,414,517,782],[1,4,6,7,8,9,26,29,30,
43,48,52,57,103,107,155,161,163,189,190,257,372,422,424,517,783],[1,3,4,5,8,
10,19,26,28,48,49,50,58,61,62,89,109,155,157,158,191,195,196,269,270,271,370,
426,518,521,522,784],[1,4,6,8,10,26,29,30,48,58,59,63,103,109,155,191,193,194,
197,198,269,272,425,427,518,523,524,785],[1,2,4,8,9,11,13,26,27,46,48,54,74,
110,144,155,159,190,192,273,352,423,519,786],[1,3,4,5,8,10,19,27,48,49,50,58,
61,62,90,109,156,157,159,195,269,270,271,373,520,521,787],[1,3,4,5,6,8,10,19,
22,29,33,48,49,50,58,59,61,62,63,94,109,157,193,195,197,202,203,269,270,271,
272,429,521,523,525,528,788],[1,3,4,5,8,10,19,23,25,48,49,50,58,61,62,95,109,
157,195,269,270,271,521,526,527,789],[1,3,4,5,8,10,19,30,48,49,50,58,61,62,99,
109,157,194,195,198,269,270,271,431,521,524,790],[1,3,4,5,8,10,19,25,48,49,50,
58,61,62,98,109,157,195,269,270,271,521,527,791],[1,4,5,6,8,10,28,29,30,48,50,
58,59,62,63,105,109,158,193,194,196,197,198,269,271,272,430,432,522,523,524,
792],[1,3,4,5,8,10,17,19,20,48,51,53,58,83,109,160,168,170,183,185,269,382,
404,409,529,793],[1,2,3,8,10,12,17,18,46,47,51,67,109,143,168,173,183,185,267,
341,403,529,794],[1,3,8,10,17,21,23,49,51,61,84,109,164,168,171,183,185,270,
391,405,410,529,795],[1,3,5,8,10,17,24,25,50,51,62,85,109,166,168,172,183,185,
271,394,406,411,529,796],[1,2,3,8,9,11,12,17,18,46,51,54,67,110,143,168,173,
184,186,273,341,407,530,797],[1,3,5,8,9,11,17,24,25,50,51,55,64,85,110,166,
168,172,184,186,274,394,408,412,530,798],[1,2,5,8,9,11,14,31,32,46,53,54,78,
110,145,175,176,199,200,273,358,433,531,799],[1,2,3,6,8,9,11,15,17,22,46,54,
56,57,79,110,177,179,180,183,186,273,361,399,533,800],[1,2,3,8,9,11,12,17,18,
45,47,56,67,110,142,179,182,183,186,268,340,403,533,801],[1,3,5,8,9,11,17,24,
25,50,55,56,64,85,110,178,179,181,183,186,274,401,406,412,533,802],[1,3,5,9,
10,11,17,24,25,55,56,62,64,85,111,178,179,181,184,185,186,275,401,408,411,412,
534,803],[1,4,6,7,10,11,26,29,30,43,58,59,103,108,189,191,192,193,194,261,422,
425,535,804],[1,3,4,5,7,10,11,19,26,28,39,58,61,62,89,108,189,191,192,195,196,
263,413,426,535,805],[1,4,6,7,10,11,26,29,30,43,58,63,65,103,108,189,191,192,
197,198,265,422,427,428,535,806],[1,4,6,9,10,11,26,29,30,58,59,65,103,111,190,
191,192,193,194,276,425,428,536,807],[1,2,3,4,5,6,13,15,16,19,26,27,28,29,30,
37,74,76,77,89,97,103,104,112,114,118,119,120,221,278,279,280,288,289,290,291,
292,293,537,538,539,553,554,555,556,808],[1,2,3,4,5,6,13,15,16,18,19,23,25,29,
37,76,80,82,86,95,112,114,118,119,120,224,278,279,280,290,292,298,299,300,538,
540,541,557,559,809],[1,2,3,4,5,6,13,15,16,19,25,29,32,37,76,92,98,112,114,
118,119,120,226,278,279,280,290,292,300,301,538,558,560,810],[1,3,4,5,17,19,
20,27,32,35,83,90,92,113,115,116,228,281,282,283,294,296,542,545,546,811],[1,
3,4,5,17,19,20,21,23,24,25,35,83,84,85,93,95,100,101,113,115,116,229,281,282,
283,284,285,286,287,542,543,544,547,548,551,552,812],[1,3,4,5,17,19,20,27,30,
35,83,97,99,113,115,116,231,281,282,283,294,295,542,549,550,813],[1,3,4,5,19,
21,24,27,30,35,90,93,97,113,115,116,240,282,284,286,294,295,545,547,549,814],[
1,3,4,5,19,23,25,27,30,35,90,95,99,113,115,116,242,282,285,287,294,295,545,
548,550,815],[1,3,4,5,19,21,24,30,32,35,92,93,99,113,115,116,246,282,284,286,
295,296,546,547,550,816],[1,3,4,5,19,23,25,27,30,32,35,92,95,97,113,115,116,
248,282,285,287,294,295,296,546,548,549,817],[1,3,4,5,18,19,26,28,32,37,86,89,
92,114,118,119,232,288,290,291,298,301,553,557,558,818],[1,3,4,5,19,23,25,26,
28,37,89,95,98,114,118,119,239,288,290,291,299,300,553,559,560,819],[1,3,4,5,
19,23,25,27,30,32,37,92,95,97,114,118,119,248,289,290,293,299,300,301,555,558,
559,820],[1,3,4,5,18,19,25,27,30,37,86,97,98,114,118,119,236,289,290,293,298,
300,555,557,560,821],[1,4,6,7,29,40,43,44,66,139,205,206,302,438,561,562,563,
822],[1,4,7,26,66,189,205,302,437,823],[1,4,11,26,66,192,205,303,437,824],[1,
4,10,26,58,66,191,205,304,437,564,825],[1,4,6,10,29,58,59,66,193,205,206,304,
438,564,566,826],[1,4,10,30,58,66,194,205,304,439,564,827],[1,4,8,10,35,48,58,
109,115,208,209,269,447,452,567,828],[1,3,8,10,35,49,61,109,113,208,209,270,
448,453,567,829],[1,5,8,10,35,50,62,109,116,208,209,271,449,454,567,830],[1,2,
3,4,5,6,7,12,13,14,15,16,17,18,19,20,21,22,23,24,25,29,33,38,39,40,41,42,43,
44,67,68,69,70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,95,100,101,121,
122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,
141,210,211,212,215,216,219,220,223,224,229,234,305,306,307,308,309,310,311,
312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,
331,332,333,334,335,336,337,338,339,456,568,569,570,571,572,573,574,575,576,
577,578,579,580,581,582,831],[1,2,3,4,5,8,12,13,14,17,18,19,20,26,27,28,31,32,
46,48,51,53,67,68,69,74,75,78,83,86,89,90,91,92,143,144,145,155,159,160,162,
168,170,173,175,176,210,213,214,227,228,232,233,341,342,343,352,353,358,371,
381,382,384,387,389,455,583,587,588,614,617,631,633,832],[1,2,3,4,5,6,8,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,29,33,46,47,48,49,50,51,52,53,67,68,69,70,
71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,95,100,101,143,144,145,148,
149,150,151,152,153,154,157,160,161,164,165,166,168,169,170,171,172,173,174,
210,211,212,215,216,219,220,223,224,229,234,341,342,343,348,349,350,351,354,
356,359,364,366,367,368,369,376,382,383,386,389,391,392,393,394,395,396,456,
583,585,586,590,591,594,595,609,611,623,624,833],[1,2,3,4,5,8,12,13,14,17,18,
19,20,24,25,27,28,30,34,46,48,50,51,53,67,68,69,75,77,83,85,86,96,97,98,99,
102,143,144,145,156,158,160,163,166,167,168,170,172,173,210,217,218,230,231,
235,236,341,342,343,355,357,374,379,382,385,388,389,394,397,457,583,592,593,
619,622,627,630,834],[1,2,3,4,5,6,10,12,13,14,15,16,19,21,24,26,27,28,29,30,
34,58,59,68,70,72,74,75,76,77,89,90,93,96,97,103,104,188,191,193,194,213,215,
217,221,222,237,240,344,415,425,458,589,655,658,835],[1,2,3,4,5,6,8,12,13,14,
15,16,19,21,24,26,27,28,29,30,34,46,47,48,49,50,51,52,53,68,70,72,74,75,76,77,
89,90,93,96,97,103,104,143,144,145,148,149,150,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,213,215,217,221,222,237,240,342,348,
350,352,353,354,355,356,357,359,362,363,364,365,370,371,372,373,374,375,376,
377,378,379,380,381,458,587,590,592,599,600,601,602,607,608,613,618,836],[1,2,
3,4,5,6,8,12,13,14,19,22,23,25,26,27,28,29,30,33,46,48,51,52,53,68,71,73,74,
75,89,90,94,95,98,99,103,105,143,144,145,155,159,160,161,162,163,169,171,172,
174,213,216,218,238,239,241,242,342,349,351,352,353,371,372,381,383,385,386,
388,390,459,587,591,593,615,616,632,634,837],[1,2,3,4,5,6,8,12,13,14,15,16,19,
20,21,24,25,28,29,30,31,32,46,47,48,49,50,51,52,53,68,70,72,76,77,78,91,92,93,
98,99,100,102,105,143,144,145,148,149,150,151,152,153,154,157,160,161,162,163,
164,165,166,170,172,175,176,214,215,218,225,226,243,246,342,348,350,354,356,
358,359,364,365,376,384,385,387,388,390,393,397,460,588,590,593,610,612,625,
626,838],[1,2,3,4,5,6,8,12,13,14,19,20,22,23,24,25,27,28,29,30,31,32,33,34,46,
48,50,51,52,53,68,71,73,75,77,78,91,92,94,95,96,97,101,102,104,105,106,143,
144,145,156,158,160,161,162,163,166,167,169,170,171,172,174,175,176,214,216,
217,244,245,247,248,342,349,351,355,357,358,374,375,379,383,384,386,387,390,
396,397,398,461,588,591,592,620,621,628,629,839],[1,2,3,4,5,6,10,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,29,33,58,59,61,62,63,67,68,69,70,71,72,73,76,79,
80,81,82,83,84,85,86,87,88,93,94,95,100,101,188,193,195,197,202,203,210,211,
212,215,216,219,220,223,224,229,234,344,415,418,419,420,429,456,589,596,597,
659,660,840],[1,2,3,4,5,6,10,12,13,14,15,16,19,20,21,24,25,28,29,30,31,32,58,
59,62,68,70,72,76,77,78,91,92,93,98,99,100,102,105,188,193,196,198,214,215,
218,225,226,243,246,344,415,420,430,460,589,661,662,841],[1,2,3,4,5,6,8,13,15,
16,17,19,20,22,26,27,28,29,30,31,33,46,48,74,76,77,79,81,83,89,91,94,97,99,
103,104,105,144,155,159,183,221,223,225,227,231,238,244,352,361,404,462,603,
636,640,842],[1,2,3,4,5,6,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,29,33,
46,47,48,49,50,67,68,69,70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,95,
100,101,144,148,149,152,157,183,210,211,212,215,216,219,220,223,224,229,234,
354,361,403,404,405,406,456,603,605,606,635,638,843],[1,2,3,4,5,6,8,13,15,16,
17,19,20,22,24,25,27,28,29,32,33,34,46,48,50,75,76,79,81,83,85,90,92,94,96,98,
102,104,106,144,156,158,183,222,223,226,228,230,241,247,355,361,404,406,464,
603,637,639,844],[1,2,3,4,5,6,8,13,15,16,17,19,20,22,26,27,28,29,30,31,33,47,
48,51,52,53,74,76,77,79,81,83,89,91,94,97,99,103,104,105,152,153,154,155,156,
160,161,162,163,168,169,170,174,175,221,223,225,227,231,238,244,362,364,365,
366,367,371,372,374,375,382,383,384,385,390,462,607,609,610,614,615,619,620,
845],[1,2,3,4,5,6,8,13,15,16,18,19,23,25,26,27,28,29,30,32,47,48,51,52,53,74,
76,77,80,82,86,89,92,95,97,98,103,104,152,153,154,155,156,160,161,162,163,171,
172,173,176,221,224,226,232,236,239,248,362,364,365,368,369,371,372,374,375,
386,387,388,389,463,607,611,612,616,617,621,622,846],[1,2,3,4,5,6,8,13,15,16,
17,19,20,22,24,25,27,28,29,32,33,34,47,48,50,51,52,53,75,76,79,81,83,85,90,92,
94,96,98,102,104,106,152,153,154,158,159,160,161,166,167,168,169,170,172,174,
176,222,223,226,228,230,241,247,363,364,366,367,379,380,381,382,383,387,388,
394,397,398,464,608,609,612,627,628,631,632,847],[1,2,3,4,5,6,8,13,15,16,18,
19,20,23,24,25,27,28,29,30,31,34,47,48,50,51,52,53,75,76,77,80,82,86,90,91,95,
96,99,101,102,104,105,152,153,154,158,159,160,161,162,163,166,167,170,171,172,
173,175,222,224,225,233,235,242,245,363,364,365,368,369,379,380,381,384,385,
386,389,390,396,397,465,608,610,611,629,630,633,634,848],[1,3,4,5,8,17,19,20,
21,23,24,25,26,28,31,34,48,49,50,51,53,83,84,85,89,91,93,95,96,98,100,101,102,
155,157,158,160,162,164,165,166,167,168,170,171,172,175,227,229,230,237,239,
243,245,370,371,376,377,379,382,384,386,388,391,393,394,396,397,466,613,614,
616,623,625,627,629,849],[1,3,4,5,6,8,18,19,21,22,24,26,28,29,30,32,33,34,48,
49,50,51,52,53,86,87,88,89,92,93,94,96,99,103,105,106,155,157,158,160,161,162,
163,164,165,166,167,169,173,174,176,232,234,235,237,238,246,247,370,371,372,
376,377,379,383,385,387,389,390,392,395,398,468,613,615,617,624,626,628,630,
850],[1,3,4,5,8,17,19,20,21,23,24,25,27,30,32,48,49,50,51,53,83,84,85,90,92,
93,95,97,99,100,101,156,157,159,160,163,164,165,166,168,170,171,172,176,228,
229,231,240,242,246,248,373,374,376,378,381,382,385,386,387,391,393,394,396,
467,618,619,621,623,626,631,634,851],[1,3,4,5,6,8,18,19,20,21,22,24,25,27,28,
29,30,31,33,48,49,50,51,52,53,86,87,88,90,91,93,94,97,98,100,102,104,105,156,
157,159,160,161,162,163,164,165,166,169,170,172,173,174,175,233,234,236,240,
241,243,244,373,374,375,376,378,381,383,384,388,389,390,392,393,395,397,469,
618,620,622,624,625,632,633,852],[1,2,3,4,5,8,12,13,14,17,18,19,20,26,27,28,
31,32,47,48,67,68,69,74,75,78,83,86,89,90,91,92,152,155,156,183,210,213,214,
227,228,232,233,362,403,404,455,635,636,637,853],[1,2,3,4,5,8,12,13,14,17,18,
19,20,24,25,27,28,30,34,47,48,50,67,68,69,75,77,83,85,86,96,97,98,99,102,152,
158,159,183,210,217,218,230,231,235,236,363,403,404,406,457,635,639,640,854],[
1,3,4,5,8,17,19,20,21,23,24,25,26,28,31,34,48,49,50,83,84,85,89,91,93,95,96,
98,100,101,102,155,157,158,183,227,229,230,237,239,243,245,370,404,405,406,
466,636,638,639,855],[1,3,4,5,8,17,19,20,21,23,24,25,27,30,32,48,49,50,83,84,
85,90,92,93,95,97,99,100,101,156,157,159,183,228,229,231,240,242,246,248,373,
404,405,406,467,637,638,640,856],[1,2,3,4,5,7,12,13,14,17,18,19,20,26,27,28,
31,32,38,39,67,68,69,74,75,78,83,86,89,90,91,92,121,126,127,189,210,213,214,
227,228,232,233,305,413,421,455,641,648,649,857],[1,2,3,4,5,6,7,13,15,16,17,
19,20,22,26,27,28,29,30,31,33,38,39,43,74,76,77,79,81,83,89,91,94,97,99,103,
104,105,124,126,133,189,221,223,225,227,231,238,244,314,413,421,422,462,641,
650,652,858],[1,3,4,5,7,17,19,20,21,23,24,25,26,28,31,34,39,83,84,85,89,91,93,
95,96,98,100,101,102,126,132,134,189,227,229,230,237,239,243,245,320,413,466,
641,651,653,859],[1,2,3,4,5,9,12,13,14,17,18,19,20,26,27,28,31,32,54,67,68,69,
74,75,78,83,86,89,90,91,92,184,190,199,210,213,214,227,228,232,233,407,423,
433,455,642,860],[1,2,3,4,5,6,9,13,15,16,17,19,20,22,26,27,28,29,30,31,33,54,
56,57,74,76,77,79,81,83,89,91,94,97,99,103,104,105,177,179,180,190,221,223,
225,227,231,238,244,399,414,423,424,462,643,656,657,861],[1,3,4,5,10,17,19,20,
21,23,24,25,26,28,31,34,58,61,62,83,84,85,89,91,93,95,96,98,100,101,102,185,
191,195,196,227,229,230,237,239,243,245,409,410,411,426,466,644,646,647,862],[
1,2,3,4,5,6,7,12,13,14,15,16,19,21,24,26,27,28,29,30,34,38,39,43,68,70,72,74,
75,76,77,89,90,93,96,97,103,104,121,124,132,189,213,215,217,221,222,237,240,
308,413,421,422,458,648,650,651,863],[1,2,3,4,5,6,7,12,13,14,19,22,23,25,26,
27,28,29,30,33,38,39,43,68,71,73,74,75,89,90,94,95,98,99,103,105,121,133,134,
189,213,216,218,238,239,241,242,309,413,421,422,459,648,652,653,864],[1,2,3,4,
5,6,7,13,15,16,18,19,23,25,26,27,28,29,30,32,38,39,43,74,76,77,80,82,86,89,92,
95,97,98,103,104,124,127,134,189,221,224,226,232,236,239,248,315,413,421,422,
463,649,650,653,865],[1,3,4,5,6,7,18,19,21,22,24,26,28,29,30,32,33,34,39,43,
86,87,88,89,92,93,94,96,99,103,105,106,127,132,133,189,232,234,235,237,238,
246,247,325,413,422,468,649,651,652,866],[1,3,4,5,6,11,18,19,21,22,24,26,28,
29,30,32,33,34,65,86,87,88,89,92,93,94,96,99,103,105,106,187,192,201,232,234,
235,237,238,246,247,416,428,434,468,654,867],[1,3,4,5,10,17,19,20,21,23,24,25,
26,28,31,34,58,61,62,83,84,85,89,91,93,95,96,98,100,101,102,188,191,195,196,
227,229,230,237,239,243,245,415,418,420,426,466,655,659,661,868],[1,3,4,5,6,
10,18,19,21,22,24,26,28,29,30,32,33,34,58,63,86,87,88,89,92,93,94,96,99,103,
105,106,188,191,197,198,232,234,235,237,238,246,247,415,419,427,468,655,660,
662,869],[1,3,4,5,10,17,19,20,21,23,24,25,27,30,32,58,61,62,83,84,85,90,92,93,
95,97,99,100,101,188,194,195,198,228,229,231,240,242,246,248,415,418,420,431,
467,658,659,662,870],[1,3,4,5,6,10,18,19,20,21,22,24,25,27,28,29,30,31,33,58,
62,63,86,87,88,90,91,93,94,97,98,100,102,104,105,188,194,196,197,233,234,236,
240,241,243,244,415,419,420,432,469,658,660,661,871],[1,4,27,35,36,37,114,115,
289,294,435,664,872],[1,3,4,5,19,35,36,37,113,114,115,116,117,118,119,282,290,
435,664,665,666,873],[1,4,30,35,36,37,114,115,293,295,435,664,874],[1,3,23,35,
36,37,113,118,285,299,435,665,875],[1,3,25,35,36,37,113,118,287,300,435,665,
876],[1,5,32,35,36,37,116,117,119,296,297,301,435,666,877],[1,5,32,35,36,37,
116,117,119,296,301,435,666,878],[1,10,35,66,209,304,470,879],[1,2,4,7,8,9,10,
11,13,38,40,41,45,46,47,48,54,58,107,108,109,110,111,122,144,152,249,250,251,
252,254,260,267,268,269,273,436,472,478,513,667,668,669,880],[1,2,3,7,8,9,10,
11,12,38,39,46,47,49,54,61,107,108,109,110,111,121,148,249,250,253,263,267,
270,273,436,474,514,667,670,881],[1,2,5,7,8,9,10,11,14,38,41,42,45,46,47,50,
54,55,62,64,107,108,109,110,111,123,146,149,249,250,252,254,255,264,267,268,
271,273,274,275,436,475,479,515,516,667,669,671,882],[1,3,4,5,7,8,9,10,11,19,
39,40,42,48,49,50,55,58,61,62,64,107,108,109,110,111,128,157,195,251,253,255,
260,263,264,269,270,271,274,275,436,482,507,521,668,670,671,883],[1,4,6,7,8,9,
10,11,29,40,43,44,48,58,59,60,63,65,107,108,109,110,111,139,193,197,251,260,
261,262,265,266,269,272,276,277,436,506,508,523,668,672,673,884],[1,2,3,7,8,9,
10,11,12,39,41,45,46,47,49,61,107,108,109,110,111,129,148,252,253,254,263,267,
268,270,436,485,514,669,670,885],[1,3,6,7,8,9,10,11,22,39,43,49,59,61,63,65,
107,108,109,110,111,133,202,253,261,263,265,270,272,276,436,509,525,670,672,
886],[1,3,7,8,9,10,11,23,39,49,61,107,108,109,110,111,134,253,263,270,436,526,
670,887],[1,3,6,7,8,9,10,11,22,39,44,49,59,60,61,63,107,108,109,110,111,137,
202,253,262,263,266,270,272,277,436,511,525,670,673,888],[1,3,7,8,9,10,11,25,
39,49,61,107,108,109,110,111,138,253,263,270,436,527,670,889],[1,5,6,7,8,9,10,
11,33,42,43,44,50,55,59,60,62,63,64,65,107,108,109,110,111,141,203,204,255,
261,262,264,265,266,271,272,274,275,276,277,436,510,512,528,532,671,672,673,
890],[1,3,7,8,9,10,11,17,39,51,56,107,108,109,110,111,126,168,179,183,184,185,
186,256,436,494,503,504,529,530,533,534,891],[1,4,7,8,9,10,11,26,48,58,107,
108,109,110,111,155,189,190,191,192,269,436,517,518,519,535,536,892],[1,2,3,4,
5,6,7,13,15,16,19,29,37,38,39,40,41,42,43,44,76,112,114,118,119,120,122,124,
125,128,135,139,140,207,278,279,280,290,292,312,440,441,442,443,444,445,446,
538,675,676,677,678,679,680,681,893],[1,2,3,6,7,15,18,23,37,38,39,43,80,112,
118,120,124,127,134,207,279,298,299,315,440,443,445,540,676,682,684,894],[1,2,
3,6,7,15,18,25,37,38,39,43,82,112,118,120,124,131,138,207,279,298,300,317,440,
443,445,541,676,683,685,895],[1,3,4,5,7,18,19,37,39,40,42,86,114,118,119,127,
128,131,207,290,298,323,441,443,444,557,678,682,683,896],[1,3,4,5,7,19,23,25,
37,39,40,42,95,114,118,119,128,134,138,207,290,299,300,330,441,443,444,559,
678,684,685,897],[1,2,3,6,7,15,18,23,37,39,41,44,80,112,118,120,131,134,135,
207,279,298,299,339,442,443,446,540,680,683,684,898],[1,2,3,6,7,15,18,25,37,
39,41,44,82,112,118,120,127,135,138,207,279,298,300,326,442,443,446,541,680,
682,685,899],[1,3,4,5,8,19,27,35,48,49,50,90,113,115,116,156,157,159,208,282,
294,373,447,448,449,545,686,687,688,900],[1,3,4,5,8,19,27,30,35,48,51,53,97,
113,115,116,156,160,163,208,282,294,295,374,447,450,451,549,686,689,690,901],[
1,3,4,5,8,19,21,24,35,48,49,50,51,53,93,113,115,116,157,160,164,165,166,208,
282,284,286,376,447,448,449,450,451,547,687,689,691,692,693,902],[1,3,4,5,8,
19,27,30,35,48,49,50,97,113,115,116,157,159,163,208,282,294,295,378,447,448,
449,549,687,688,690,903],[1,3,4,5,8,19,27,35,48,51,53,90,113,115,116,159,160,
208,282,294,381,447,450,451,545,688,689,904],[1,3,4,5,8,17,19,20,35,48,51,53,
83,113,115,116,160,168,170,208,281,282,283,382,447,450,451,542,689,694,695,
905],[1,3,4,5,8,19,30,35,48,51,53,99,113,115,116,160,163,208,282,295,385,447,
450,451,550,689,690,906],[1,3,4,5,8,19,23,25,35,48,51,53,95,113,115,116,160,
171,172,208,282,285,287,386,447,450,451,548,689,696,697,907],[1,3,4,5,8,19,32,
35,48,51,53,92,113,115,116,160,176,208,282,296,387,447,450,451,546,689,698,
908],[1,3,8,17,21,23,35,49,51,84,113,164,168,171,208,281,284,285,391,448,450,
543,691,694,696,909],[1,3,5,8,20,21,25,35,49,51,53,100,113,116,164,170,172,
208,283,284,287,393,448,450,451,551,691,695,697,910],[1,3,5,8,17,24,25,35,50,
51,85,113,116,166,168,172,208,281,286,287,394,449,450,544,693,694,697,911],[1,
3,5,8,20,23,24,35,50,51,53,101,113,116,166,170,171,208,283,285,286,396,449,
450,451,552,693,695,696,912],[1,3,4,5,8,17,19,20,35,48,83,113,115,116,183,208,
281,282,283,404,447,542,699,913],[1,3,8,17,21,23,35,49,84,113,183,208,281,284,
285,405,448,543,699,914],[1,3,5,8,17,24,25,35,50,85,113,116,183,208,281,286,
287,406,449,544,699,915],[1,3,4,5,10,17,19,20,35,58,83,113,115,116,185,209,
281,282,283,409,452,542,700,916],[1,3,10,17,21,23,35,61,84,113,185,209,281,
284,285,410,453,543,700,917],[1,3,5,10,17,24,25,35,62,85,113,116,185,209,281,
286,287,411,454,544,700,918],[1,3,4,5,10,19,21,24,35,58,93,113,115,116,188,
209,282,284,286,415,452,547,701,919],[1,3,10,17,21,23,35,61,84,113,188,209,
281,284,285,418,453,543,701,920],[1,3,5,10,20,21,25,35,62,100,113,116,188,209,
283,284,287,420,454,551,701,921],[1,2,4,7,13,26,27,37,38,74,112,114,189,207,
278,288,289,421,440,537,702,922],[1,3,4,5,7,19,26,28,37,39,89,114,118,119,189,
207,288,290,291,413,443,553,702,923],[1,4,6,7,26,29,30,37,43,103,114,120,189,
207,288,292,293,422,445,554,702,924],[1,3,4,5,10,19,30,35,58,61,62,99,113,115,
116,194,195,198,209,282,295,431,452,453,454,550,703,704,705,925],[1,3,6,10,18,
21,22,37,59,61,63,87,118,188,202,298,419,706,926],[1,3,4,5,10,19,21,24,37,58,
61,62,93,114,118,119,188,195,290,415,706,927],[1,2,3,8,12,17,18,37,46,47,49,
67,118,148,183,298,403,707,928],[1,3,4,5,8,17,19,20,37,48,49,50,83,114,118,
119,157,183,290,404,707,929],[1,2,3,6,8,15,17,22,37,46,49,52,79,112,118,120,
150,183,279,361,707,930],[1,3,8,17,21,23,37,49,51,84,118,164,183,299,405,707,
931],[1,3,5,8,17,24,25,37,49,50,53,85,118,165,183,300,406,707,932],[1,2,4,7,
13,26,27,35,38,40,41,74,115,122,189,294,421,708,933],[1,3,4,5,7,19,26,28,35,
39,40,42,89,113,115,116,128,189,282,413,708,934],[1,4,6,7,26,29,30,35,40,43,
44,103,115,139,189,295,422,708,935],[1,2,5,9,14,31,32,36,45,54,55,78,117,146,
199,297,433,709,936],[1,5,6,11,32,33,34,36,60,64,65,106,117,201,204,297,434,
710,937],[1,5,6,11,32,33,34,36,60,64,65,106,117,201,204,297,434,711,938],[1,4,
7,10,11,40,58,66,108,205,260,302,303,304,561,564,712,939],[1,6,7,10,11,43,59,
66,108,206,261,302,303,304,562,566,712,940],[1,6,7,10,11,44,59,60,66,108,206,
262,302,303,304,563,565,566,712,941],[1,4,30,35,66,115,205,295,439,470,714,
942],[1,2,3,4,5,7,8,9,12,13,14,17,18,19,20,38,39,40,41,42,45,46,48,51,53,56,
67,68,69,83,86,107,121,122,123,126,127,128,129,130,131,142,143,144,145,160,
168,170,173,179,182,210,249,251,254,256,258,305,306,307,318,319,323,324,340,
341,342,343,382,389,471,472,473,483,491,494,496,500,501,568,583,715,716,717,
735,738,748,750,943],[1,2,3,6,7,8,9,12,15,17,18,21,22,23,38,39,43,46,47,49,51,
52,54,56,57,67,70,71,79,80,84,87,107,121,124,126,127,132,133,134,143,148,150,
153,164,168,169,171,173,177,179,180,211,249,250,253,256,257,305,308,309,314,
315,320,325,341,348,349,366,368,391,392,399,471,474,476,480,488,494,495,498,
500,569,585,715,719,720,730,732,744,745,944],[1,2,3,5,6,7,8,9,12,14,15,16,17,
18,22,24,25,38,39,41,42,44,46,47,50,51,52,55,56,67,72,73,79,82,85,88,107,121,
123,125,126,127,135,136,137,138,143,149,151,153,166,168,169,172,173,178,179,
181,212,249,252,255,256,259,305,310,311,321,322,326,327,341,350,351,366,369,
394,395,401,471,475,477,486,493,494,497,499,500,570,586,715,721,722,740,743,
752,755,945],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,19,21,24,29,38,39,40,41,42,
43,44,58,59,60,68,70,72,76,93,108,121,122,123,124,125,128,129,132,135,136,139,
140,187,188,193,215,260,261,262,306,308,310,312,313,328,331,344,345,415,505,
506,571,589,718,765,766,946],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,19,21,24,29,38,
39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,68,70,72,76,93,107,
121,122,123,124,125,128,129,132,135,136,139,140,142,143,144,145,146,147,148,
149,150,151,152,153,154,157,160,161,164,165,166,177,178,215,249,250,251,252,
253,254,255,256,257,258,259,306,308,310,312,313,328,331,342,346,348,350,354,
356,359,364,376,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,
486,487,488,489,490,491,492,493,571,590,716,719,721,723,724,725,726,728,729,
734,739,947],[1,2,3,4,5,6,7,8,9,12,13,14,19,22,23,25,29,33,38,39,40,41,42,43,
44,45,46,48,51,52,53,56,57,68,71,73,94,95,107,121,122,123,128,129,133,134,137,
138,139,141,142,143,144,145,160,161,169,171,172,174,180,181,216,249,251,254,
256,257,258,259,306,309,311,329,330,332,333,342,347,349,351,383,386,471,472,
473,483,484,491,495,497,498,499,502,572,591,716,720,722,736,737,749,751,948],[
1,2,3,5,6,7,8,9,12,15,16,18,20,21,22,25,33,38,39,42,43,44,46,47,49,51,52,53,
54,56,57,69,70,73,81,82,87,100,107,121,124,125,130,131,132,137,138,141,143,
148,150,153,154,164,169,170,172,173,174,177,181,182,219,249,250,253,256,257,
258,259,307,308,311,316,317,334,337,343,348,351,367,369,392,393,400,471,474,
476,480,481,488,496,497,499,501,502,573,594,717,719,722,731,733,746,747,949],[
1,2,3,5,6,7,8,9,12,14,15,16,18,20,22,23,24,33,38,39,41,42,43,44,46,47,50,51,
52,53,55,56,57,69,71,72,80,81,88,101,107,121,123,125,130,131,133,134,135,136,
140,141,143,149,151,153,154,166,169,170,171,173,174,178,180,182,220,249,252,
255,256,257,258,259,307,309,310,335,336,338,339,343,349,350,367,368,395,396,
402,471,475,477,486,487,493,495,496,498,501,502,574,595,717,720,721,741,742,
753,754,950],[1,2,3,6,7,10,11,12,15,17,18,21,22,23,38,39,43,59,61,63,65,67,70,
71,79,80,84,87,108,121,124,126,127,132,133,134,187,188,202,211,261,263,265,
305,308,309,314,315,320,325,344,416,418,419,505,509,569,596,718,767,768,951],[
1,2,3,5,6,7,10,11,12,15,16,18,20,21,22,25,33,38,39,42,43,44,59,62,63,64,69,70,
73,81,82,87,100,108,121,124,125,130,131,132,137,138,141,187,188,203,219,261,
264,266,307,308,311,316,317,334,337,344,417,419,420,505,510,573,597,718,769,
770,952],[1,2,3,4,5,6,7,8,9,13,15,16,17,19,20,22,29,33,38,39,40,41,42,43,44,
45,46,48,76,79,81,83,94,107,122,124,125,126,128,130,133,135,137,139,140,141,
144,183,184,223,249,251,254,312,314,316,318,321,329,335,360,361,404,472,503,
575,603,727,757,760,953],[1,2,3,6,7,8,9,12,15,17,18,21,22,23,38,39,43,46,47,
49,54,67,70,71,79,80,84,87,107,121,124,126,127,132,133,134,148,183,184,211,
249,250,253,305,308,309,314,315,320,325,361,403,405,407,474,503,569,605,727,
756,759,954],[1,2,3,5,6,7,8,9,12,14,15,16,17,18,22,24,25,38,39,41,42,43,46,47,
50,55,67,72,73,79,82,85,88,107,123,124,126,129,131,133,136,138,140,149,183,
184,212,249,252,255,313,314,317,319,322,332,338,361,403,406,408,475,503,577,
606,727,758,761,955],[1,2,3,4,5,6,7,8,9,13,15,16,17,19,20,22,29,33,38,39,40,
41,42,43,44,47,48,51,52,53,54,56,57,76,79,81,83,94,107,122,124,125,126,128,
130,133,135,137,139,140,141,152,153,154,160,161,168,169,170,174,177,179,180,
223,250,251,252,256,257,258,259,312,314,316,318,321,329,335,364,366,367,382,
383,399,478,480,481,483,484,486,487,494,495,496,497,502,575,609,728,730,731,
735,736,740,741,956],[1,2,3,4,5,6,7,8,9,13,15,16,18,19,23,25,29,38,39,40,41,
42,43,44,47,48,51,52,53,54,56,57,76,80,82,86,95,107,122,124,125,127,128,131,
134,135,138,139,140,152,153,154,160,161,171,172,173,177,181,182,224,250,251,
252,256,257,258,259,312,315,317,323,326,330,339,364,368,369,386,389,400,478,
480,481,483,484,486,487,498,499,500,501,576,611,728,732,733,737,738,742,743,
957],[1,2,3,5,6,7,8,9,12,14,15,16,17,18,22,24,25,38,39,41,42,43,45,46,47,50,
51,52,54,55,56,57,67,72,73,79,82,85,88,107,123,124,126,129,131,133,136,138,
140,142,143,146,147,149,151,153,166,168,169,172,173,177,178,179,180,181,182,
212,250,254,255,256,257,313,314,317,319,322,332,338,340,341,346,347,350,351,
366,369,394,395,399,400,401,402,479,480,491,492,493,494,495,499,501,577,584,
586,729,730,733,748,749,752,753,958],[1,2,3,5,6,7,8,9,12,14,15,16,18,20,22,23,
24,33,38,39,41,42,43,44,45,46,47,50,51,52,53,54,55,56,57,69,71,72,80,81,88,
101,107,123,124,125,127,129,130,134,136,137,140,141,142,143,146,147,149,151,
153,154,166,169,170,171,173,174,177,178,220,250,254,255,256,257,258,259,313,
315,316,324,327,333,336,343,346,349,350,367,368,395,396,479,480,481,491,492,
493,496,497,498,500,502,578,595,729,731,732,750,751,754,755,959],[1,3,4,5,7,8,
9,17,19,20,21,23,24,25,39,40,42,48,49,50,51,53,55,56,83,84,85,93,95,100,101,
107,126,128,130,132,134,136,138,157,160,164,165,166,168,170,171,172,178,179,
181,229,251,253,255,256,258,318,320,322,328,330,334,336,376,382,386,391,393,
394,396,401,482,483,488,490,493,494,496,498,499,579,623,734,735,737,744,746,
752,754,960],[1,3,4,5,6,7,8,9,18,19,21,22,24,29,33,39,40,42,43,44,48,49,50,51,
52,53,55,56,57,86,87,88,93,94,107,127,128,131,132,133,136,137,139,141,157,160,
161,164,165,166,169,173,174,178,180,182,234,251,253,255,256,257,258,259,323,
325,327,328,329,337,338,376,383,389,392,395,402,482,483,484,488,490,493,495,
497,500,501,502,581,624,734,736,738,745,747,753,755,961],[1,2,3,6,7,8,9,12,15,
17,18,21,22,23,39,41,44,45,46,47,49,51,52,56,67,70,71,79,80,84,87,107,126,129,
131,132,134,135,137,142,143,148,150,153,164,168,169,171,173,179,182,211,252,
253,254,256,259,319,320,321,331,333,337,339,340,341,348,349,366,368,391,392,
485,486,488,489,491,494,497,498,501,580,585,739,740,742,744,747,748,751,962],[
1,2,3,5,6,7,8,9,12,15,16,18,20,21,22,25,33,39,41,42,43,44,45,46,47,49,51,52,
53,56,57,69,70,73,81,82,87,100,107,127,129,130,132,133,135,138,140,141,142,
143,148,150,153,154,164,169,170,172,173,174,180,181,219,252,253,254,256,257,
258,259,324,325,326,331,332,334,335,343,347,348,351,367,369,392,393,485,486,
487,488,489,491,495,496,499,500,502,582,594,739,741,743,745,746,749,750,963],[
1,2,3,4,5,7,8,9,12,13,14,17,18,19,20,38,39,40,41,42,47,48,54,67,68,69,83,86,
107,121,122,123,126,127,128,129,130,131,152,183,184,210,250,251,252,305,306,
307,318,319,323,324,403,404,407,478,503,568,635,756,757,758,964],[1,2,3,5,6,7,
8,9,12,14,15,16,17,18,22,24,25,38,39,41,42,44,45,46,47,50,54,55,67,72,73,79,
82,85,88,107,121,123,125,126,127,135,136,137,138,146,149,183,184,212,250,254,
255,305,310,311,321,322,326,327,360,361,403,406,407,408,479,503,570,604,606,
756,760,761,965],[1,3,4,5,7,8,9,17,19,20,21,23,24,25,39,40,42,48,49,50,55,83,
84,85,93,95,100,101,107,126,128,130,132,134,136,138,157,183,184,229,251,253,
255,318,320,322,328,330,334,336,404,405,406,408,482,503,579,638,757,759,761,
966],[1,2,3,6,7,8,9,12,15,17,18,21,22,23,39,41,44,45,46,47,49,67,70,71,79,80,
84,87,107,126,129,131,132,134,135,137,148,183,184,211,252,253,254,319,320,321,
331,333,337,339,360,361,403,405,485,503,580,605,758,759,760,967],[1,3,4,5,7,
10,11,17,19,20,21,23,24,25,39,40,42,58,61,62,64,83,84,85,93,95,100,101,108,
126,128,130,132,134,136,138,185,186,195,229,260,263,264,318,320,322,328,330,
334,336,409,410,411,412,504,507,579,646,762,763,764,968],[1,3,4,5,7,10,11,17,
19,20,21,23,24,25,39,40,42,58,61,62,64,83,84,85,93,95,100,101,108,126,128,130,
132,134,136,138,187,188,195,229,260,263,264,318,320,322,328,330,334,336,415,
417,418,420,505,507,579,659,765,767,769,969],[1,3,4,5,6,7,10,11,18,19,21,22,
24,29,33,39,40,42,43,44,58,63,65,86,87,88,93,94,108,127,128,131,132,133,136,
137,139,141,187,188,197,234,260,265,266,323,325,327,328,329,337,338,415,416,
419,505,508,581,660,765,768,770,970],[1,2,3,6,7,10,11,12,15,17,18,21,22,23,39,
41,44,59,60,61,63,67,70,71,79,80,84,87,108,126,129,131,132,134,135,137,187,
188,202,211,262,263,266,319,320,321,331,333,337,339,344,345,418,419,505,511,
580,596,766,767,770,971],[1,2,3,5,6,7,10,11,12,15,16,18,20,21,22,25,33,39,41,
42,43,44,59,60,62,63,64,65,69,70,73,81,82,87,100,108,127,129,130,132,133,135,
138,140,141,187,188,203,204,219,262,264,265,324,325,326,331,332,334,335,344,
345,416,417,419,420,505,512,582,597,598,766,768,769,972],[1,2,3,4,5,8,10,12,
13,14,19,26,27,28,46,47,48,49,50,58,61,62,68,74,75,89,90,109,144,148,149,152,
155,156,157,158,159,191,195,196,213,267,269,270,271,352,354,355,362,363,370,
373,426,513,514,515,518,520,521,522,599,772,773,774,784,787,973],[1,2,3,4,5,6,
8,10,12,13,14,19,22,23,25,29,33,46,47,48,49,50,58,59,61,62,63,68,71,73,94,95,
109,144,148,149,152,157,193,195,197,202,203,216,267,269,270,271,272,354,429,
513,514,515,521,523,525,526,527,528,773,775,776,788,789,974],[1,2,3,4,5,8,10,
12,13,14,19,25,30,46,47,48,49,50,58,61,62,68,98,99,109,144,148,149,152,157,
194,195,198,218,267,269,270,271,354,431,513,514,515,521,524,527,773,790,791,
975],[1,2,3,4,5,6,8,10,13,15,16,17,19,20,22,29,33,46,47,48,51,52,53,58,76,79,
81,83,94,109,144,152,153,154,160,161,168,169,170,174,183,185,223,267,269,361,
364,366,367,382,383,404,409,513,529,603,609,777,793,976],[1,2,3,6,8,10,12,15,
17,18,21,22,23,46,47,49,51,52,61,67,70,71,79,80,84,87,109,143,148,150,153,164,
168,169,171,173,183,185,211,267,270,341,348,349,361,366,368,391,392,403,405,
410,514,529,585,605,777,794,795,977],[1,2,3,5,6,8,10,12,14,15,16,17,18,22,24,
25,46,47,50,51,52,62,67,72,73,79,82,85,88,109,143,149,151,153,166,168,169,172,
173,183,185,212,267,271,341,350,351,361,366,369,394,395,403,406,411,515,529,
586,606,777,794,796,978],[1,2,3,5,6,8,9,11,12,14,15,16,17,18,22,24,25,45,46,
47,50,51,52,54,55,64,67,72,73,79,82,85,88,110,143,146,149,151,153,166,168,169,
172,173,184,186,212,268,273,274,341,350,351,360,366,369,394,395,407,408,412,
516,530,586,604,778,797,798,979],[1,2,3,4,5,7,8,9,12,13,14,19,26,27,28,38,39,
46,47,48,49,50,54,68,74,75,89,90,107,121,144,148,149,152,155,156,157,158,159,
189,190,213,249,250,253,352,354,355,362,363,370,373,413,421,423,474,517,599,
648,779,780,781,980],[1,2,3,4,5,6,7,8,9,13,15,16,19,26,27,28,29,30,38,39,43,
47,48,51,52,53,54,56,57,74,76,77,89,97,103,104,107,124,152,153,154,155,156,
160,161,162,163,177,189,190,221,250,256,257,362,364,365,371,372,374,375,413,
414,421,422,423,424,480,517,607,650,656,779,782,783,981],[1,2,3,4,5,7,8,9,12,
13,14,19,26,27,28,38,39,46,48,51,53,56,68,74,75,89,90,107,121,143,144,145,155,
159,160,162,189,190,213,249,256,342,352,353,371,381,413,414,421,471,517,587,
648,780,782,982],[1,2,3,4,5,6,7,8,9,13,15,16,19,26,27,28,29,30,38,39,43,46,48,
49,50,52,57,74,76,77,89,97,103,104,107,124,144,150,151,155,157,158,159,161,
163,189,190,221,249,253,257,352,356,357,370,372,378,380,413,421,422,424,476,
517,600,650,780,781,783,983],[1,3,4,5,7,8,9,19,21,24,26,28,34,39,48,49,50,51,
53,56,89,93,96,107,132,155,157,158,160,162,164,165,166,167,189,190,237,253,
256,370,371,376,377,379,413,414,488,517,613,651,781,782,984],[1,3,4,5,7,8,9,
17,19,20,26,28,31,39,48,51,53,56,83,89,91,107,126,155,160,162,168,170,175,179,
189,190,227,256,371,382,384,413,414,494,517,614,641,643,782,985],[1,3,4,5,6,7,
8,9,19,22,26,28,29,30,33,39,43,48,51,52,53,56,57,89,94,99,103,105,107,133,155,
160,161,162,163,169,174,180,189,190,238,256,257,371,372,383,385,390,413,414,
422,424,495,517,615,652,657,782,783,986],[1,3,4,5,7,8,9,19,23,25,26,28,39,48,
51,53,56,89,95,98,107,134,155,160,162,171,172,189,190,239,256,371,386,388,413,
414,498,517,616,653,782,987],[1,3,4,5,7,8,9,18,19,26,28,32,39,48,51,53,56,86,
89,92,107,127,155,160,162,173,176,189,190,232,256,371,387,389,413,414,500,517,
617,649,782,988],[1,3,4,5,6,8,10,19,22,26,28,29,30,33,48,49,50,58,59,61,62,63,
89,94,99,103,105,109,155,157,158,191,193,194,195,196,197,198,202,203,238,269,
270,271,272,370,425,426,427,429,430,431,432,518,521,522,523,524,525,528,663,
784,785,788,790,792,989],[1,3,4,5,8,10,19,23,25,26,28,48,49,50,58,61,62,89,95,
98,109,155,157,158,191,195,196,239,269,270,271,370,426,518,521,522,526,527,
784,789,791,990],[1,3,4,5,8,10,17,19,20,26,28,31,48,51,53,58,83,89,91,109,155,
160,162,168,170,175,183,185,191,227,269,371,382,384,404,409,518,529,614,636,
644,793,991],[1,3,4,5,8,9,11,17,19,20,26,28,31,48,51,53,83,89,91,110,155,160,
162,168,170,175,184,186,190,192,199,200,227,371,382,384,519,530,531,614,642,
645,992],[1,3,4,5,6,8,10,19,22,25,27,29,33,48,49,50,58,59,61,62,63,90,94,98,
109,156,157,159,193,195,197,202,203,241,269,270,271,272,373,429,520,521,523,
525,527,528,787,788,791,993],[1,3,4,5,8,10,19,23,25,27,30,48,49,50,58,61,62,
90,95,99,109,156,157,159,194,195,198,242,269,270,271,373,431,520,521,524,526,
527,787,789,790,994],[1,3,4,5,8,10,17,19,20,27,30,48,51,53,58,83,97,99,109,
156,159,160,163,168,170,183,185,231,269,374,382,385,404,409,520,529,619,640,
793,995],[1,2,3,4,5,8,10,12,13,14,17,18,19,20,46,47,48,51,53,58,67,68,69,83,
86,109,143,144,145,152,160,168,170,173,183,185,210,267,269,341,342,343,382,
389,403,404,409,513,529,583,635,793,794,996],[1,3,4,5,8,10,17,19,20,21,23,24,
25,48,49,50,51,53,58,61,62,83,84,85,93,95,100,101,109,157,160,164,165,166,168,
170,171,172,183,185,195,229,269,270,271,376,382,386,391,393,394,396,404,405,
406,409,410,411,521,529,623,638,646,793,795,796,997],[1,3,4,5,8,10,17,19,20,
24,25,28,34,48,50,51,53,58,62,83,85,96,98,102,109,158,160,166,167,168,170,172,
183,185,196,230,269,271,379,382,388,394,397,404,406,409,411,522,529,627,639,
647,793,796,998],[1,3,4,5,8,10,17,19,20,27,32,48,51,53,58,83,90,92,109,156,
159,160,168,170,176,183,185,228,269,381,382,387,404,409,520,529,631,637,793,
999],[1,2,3,5,6,8,9,11,12,14,15,16,17,18,22,24,25,45,46,47,50,54,55,56,57,64,
67,72,73,79,82,85,88,110,142,146,147,149,177,178,179,180,181,182,183,186,212,
268,273,274,340,346,347,361,399,400,401,402,403,406,412,516,533,584,606,800,
801,802,1000],[1,3,4,5,7,8,9,17,19,20,26,28,31,39,48,83,89,91,107,126,155,183,
184,189,190,199,227,404,413,503,517,636,641,642,1001],[1,3,4,5,8,9,11,17,19,
20,26,28,31,48,56,83,89,91,110,155,179,183,186,190,192,200,227,404,414,519,
533,636,643,645,1002],[1,3,4,5,7,10,11,17,19,20,26,28,31,39,58,83,89,91,108,
126,185,186,189,191,192,200,227,409,413,504,535,641,644,645,1003],[1,3,4,5,9,
10,11,17,19,20,26,28,31,56,58,83,89,91,111,179,184,185,186,190,191,192,199,
200,227,409,414,534,536,642,643,644,645,1004],[1,3,4,5,7,10,11,19,21,24,26,28,
34,39,58,89,93,96,108,132,187,188,189,191,192,201,237,413,415,505,535,651,654,
655,1005],[1,3,4,5,6,7,10,11,19,22,26,28,29,30,33,39,43,58,59,61,62,63,65,89,
94,99,103,105,108,133,189,191,192,193,194,195,196,197,198,202,203,238,261,263,
265,413,422,425,426,427,428,429,430,431,432,509,535,652,663,804,805,806,
1006],[1,2,3,4,5,6,13,15,16,18,19,23,25,26,27,28,29,30,32,37,74,76,77,80,82,
86,89,92,95,97,98,103,104,112,114,118,119,120,221,224,226,232,236,239,248,278,
279,280,288,289,290,291,292,293,298,299,300,301,463,537,538,539,540,541,553,
554,555,556,557,558,559,560,808,809,810,818,819,820,821,1007],[1,3,4,5,17,19,
20,21,23,24,25,27,30,32,35,83,84,85,90,92,93,95,97,99,100,101,113,115,116,228,
229,231,240,242,246,248,281,282,283,284,285,286,287,294,295,296,467,542,543,
544,545,546,547,548,549,550,551,552,811,812,813,814,815,816,817,1008],[1,4,6,
7,26,29,30,43,66,103,189,205,206,302,422,437,438,439,562,674,823,1009],[1,4,6,
10,26,29,30,58,59,66,103,191,193,194,205,206,304,425,437,438,439,564,566,674,
825,826,827,1010],[1,3,10,17,21,23,61,66,84,185,188,304,410,418,1011],[1,4,8,
10,27,35,48,58,109,115,156,159,208,209,269,294,447,452,520,567,686,688,828,
1012],[1,3,4,5,8,10,19,35,48,49,50,58,61,62,109,113,115,116,157,195,208,209,
269,270,271,282,447,448,449,452,453,454,521,567,687,704,828,829,830,1013],[1,
4,8,10,30,35,48,58,109,115,194,198,208,209,269,295,447,452,524,567,703,705,
828,1014],[1,3,8,10,23,35,49,61,109,113,208,209,270,285,448,453,526,567,829,
1015],[1,3,8,10,25,35,49,61,109,113,208,209,270,287,448,453,527,567,829,
1016],[1,3,8,10,17,35,51,109,113,168,183,185,208,209,281,450,529,567,694,699,
700,1017],[1,3,7,10,11,21,37,39,61,108,118,132,187,188,207,263,443,505,706,
1018],[1,3,7,8,9,17,37,39,49,107,118,126,183,184,207,253,443,503,707,1019],[1,
4,7,8,9,26,35,40,48,107,115,155,189,190,208,251,447,517,708,1020],[1,4,7,10,
11,26,35,40,58,108,115,189,191,192,209,260,452,535,708,1021],[1,2,3,4,5,6,8,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,46,47,48,
49,50,51,52,53,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,
88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,143,144,145,
148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,169,170,171,172,173,174,175,176,210,211,212,213,214,215,216,217,218,
219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,
238,239,240,241,242,243,244,245,246,247,248,341,342,343,348,349,350,351,352,
353,354,355,356,357,358,359,362,363,364,365,366,367,368,369,370,371,372,373,
374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,
393,394,395,396,397,398,455,456,457,458,459,460,461,462,463,464,465,466,467,
468,469,583,585,586,587,588,590,591,592,593,594,595,599,600,601,602,607,608,
609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,
628,629,630,631,632,633,634,713,832,833,834,836,837,838,839,845,846,847,848,
849,850,851,852,1022],[1,2,3,4,5,6,10,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,29,30,31,32,33,34,58,59,61,62,63,67,68,69,70,71,72,73,74,75,76,77,
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,
103,104,105,106,188,191,193,194,195,196,197,198,202,203,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,
234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,344,415,418,419,
420,425,426,427,429,430,431,432,455,456,457,458,459,460,461,462,463,464,465,
466,467,468,469,589,596,597,655,658,659,660,661,662,663,713,835,840,841,868,
869,870,871,1023],[1,2,3,4,5,6,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,46,47,48,49,50,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
104,105,106,144,148,149,152,155,156,157,158,159,183,210,211,212,213,214,215,
216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,352,354,355,361,362,
363,370,373,403,404,405,406,455,456,457,458,459,460,461,462,463,464,465,466,
467,468,469,599,603,605,606,635,636,637,638,639,640,713,842,843,844,853,854,
855,856,1024],[1,2,3,4,5,6,7,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,38,39,43,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,121,124,126,127,132,133,134,189,210,211,212,213,214,215,216,217,218,219,
220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,240,241,242,243,244,245,246,247,248,305,308,309,314,315,320,325,413,421,
422,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,569,641,648,
649,650,651,652,653,713,857,858,859,863,864,865,866,1025],[1,3,4,5,19,27,30,
35,36,37,97,113,114,115,116,117,118,119,282,289,290,293,294,295,435,549,555,
664,665,666,872,873,874,1026],[1,3,4,5,19,32,35,36,37,92,113,114,115,116,117,
118,119,282,290,296,297,301,435,546,558,664,665,666,873,877,878,1027],[1,3,4,
5,19,23,25,35,36,37,95,113,114,115,116,117,118,119,282,285,287,290,299,300,
435,548,559,664,665,666,873,875,876,1028],[1,4,10,35,58,66,115,205,209,304,
452,470,564,714,879,1029],[1,2,3,4,5,7,8,9,10,11,12,13,14,19,38,39,40,41,42,
45,46,47,48,49,50,54,55,58,61,62,64,68,107,108,109,110,111,121,122,123,128,
129,144,146,148,149,152,157,195,249,250,251,252,253,254,255,260,263,264,267,
268,269,270,271,273,274,275,306,354,436,472,474,475,478,479,482,485,507,513,
514,515,516,521,667,668,669,670,671,723,773,880,881,882,883,885,1030],[1,2,3,
6,7,8,9,10,11,12,22,23,38,39,43,46,47,49,54,59,61,63,65,71,107,108,109,110,
111,121,133,134,148,202,249,250,253,261,263,265,267,270,272,273,276,309,436,
474,509,514,525,526,667,670,672,775,881,886,887,1031],[1,2,3,6,7,8,9,10,11,12,
22,25,38,39,44,46,47,49,54,59,60,61,63,73,107,108,109,110,111,121,137,138,148,
202,249,250,253,262,263,266,267,270,272,273,277,311,436,474,511,514,525,527,
667,670,673,776,881,888,889,1032],[1,2,3,6,7,8,9,10,11,15,17,22,38,39,43,46,
47,51,52,54,56,57,79,107,108,109,110,111,124,126,133,153,168,169,177,179,180,
183,184,185,186,249,250,256,257,267,273,314,361,366,399,436,480,494,495,503,
504,529,530,533,534,667,727,730,777,800,891,1033],[1,3,4,5,6,7,8,9,10,11,19,
22,29,33,39,40,42,43,44,48,49,50,55,58,59,60,61,62,63,64,65,94,107,108,109,
110,111,128,133,137,139,141,157,193,195,197,202,203,204,251,253,255,260,261,
262,263,264,265,266,269,270,271,272,274,275,276,277,329,429,436,482,506,507,
508,509,510,511,512,521,523,525,528,532,668,670,671,672,673,771,788,883,884,
886,888,890,1034],[1,3,4,5,7,8,9,10,11,19,23,25,39,40,42,48,49,50,55,58,61,62,
64,95,107,108,109,110,111,128,134,138,157,195,251,253,255,260,263,264,269,270,
271,274,275,330,436,482,507,521,526,527,668,670,671,789,883,887,889,1035],[1,
3,4,5,7,8,9,10,11,17,19,20,39,40,42,48,51,53,56,58,83,107,108,109,110,111,126,
128,130,160,168,170,179,183,184,185,186,251,256,258,260,269,318,382,404,409,
436,483,494,496,503,504,529,530,533,534,668,735,757,762,793,891,1036],[1,2,3,
6,7,8,9,10,11,12,22,25,39,41,43,45,46,47,49,59,61,63,65,73,107,108,109,110,
111,129,133,138,148,202,252,253,254,261,263,265,267,268,270,272,276,332,436,
485,509,514,525,527,669,670,672,776,885,886,889,1037],[1,2,3,6,7,8,9,10,11,12,
22,23,39,41,44,45,46,47,49,59,60,61,63,71,107,108,109,110,111,129,134,137,148,
202,252,253,254,262,263,266,267,268,270,272,277,333,436,485,511,514,525,526,
669,670,673,775,885,887,888,1038],[1,2,3,6,7,8,9,10,11,15,17,22,39,41,44,45,
46,47,51,52,56,79,107,108,109,110,111,126,135,137,153,168,169,179,183,184,185,
186,252,254,256,259,267,268,321,360,361,366,436,486,494,497,503,504,529,530,
533,534,669,740,760,777,778,891,1039],[1,2,3,7,8,9,10,11,12,17,18,38,39,46,47,
51,54,56,67,107,108,109,110,111,121,126,127,143,168,173,179,183,184,185,186,
249,250,256,267,273,305,341,403,407,436,471,494,500,503,504,529,530,533,534,
667,715,756,794,797,891,1040],[1,3,7,8,9,10,11,17,21,23,39,49,51,56,61,84,107,
108,109,110,111,126,132,134,164,168,171,179,183,184,185,186,253,256,263,270,
320,391,405,410,436,488,494,498,503,504,529,530,533,534,670,744,759,763,795,
891,1041],[1,2,3,7,8,9,10,11,12,17,18,39,41,45,46,47,51,56,67,107,108,109,110,
111,126,129,131,142,143,168,173,179,182,183,184,185,186,252,254,256,267,268,
319,340,341,403,436,491,494,501,503,504,529,530,533,534,669,748,758,794,801,
891,1042],[1,3,5,7,8,9,10,11,17,24,25,39,42,50,51,55,56,62,64,85,107,108,109,
110,111,126,136,138,166,168,172,178,179,181,183,184,185,186,255,256,264,271,
274,275,322,394,401,406,408,411,412,436,493,494,499,503,504,529,530,533,534,
671,752,761,764,796,798,802,803,891,1043],[1,2,4,7,8,9,10,11,13,26,27,38,46,
47,48,54,58,74,107,108,109,110,111,144,152,155,156,159,189,190,191,192,249,
250,267,269,273,352,362,421,423,436,513,517,518,519,520,535,536,667,772,779,
780,786,892,1044],[1,3,4,5,7,8,9,10,11,19,26,28,39,48,49,50,58,61,62,89,107,
108,109,110,111,155,157,158,189,190,191,192,195,196,253,263,269,270,271,370,
413,426,436,517,518,519,521,522,535,536,670,781,784,805,892,1045],[1,4,6,7,8,
9,10,11,26,29,30,43,48,58,59,63,65,103,107,108,109,110,111,155,189,190,191,
192,193,194,197,198,261,265,269,272,276,422,425,427,428,436,517,518,519,523,
524,535,536,672,785,804,806,807,892,1046],[1,2,3,4,5,6,7,13,15,16,18,19,23,25,
29,37,38,39,40,41,42,43,44,76,80,82,86,95,112,114,118,119,120,122,124,125,127,
128,131,134,135,138,139,140,207,224,278,279,280,290,292,298,299,300,312,315,
317,323,326,330,339,440,441,442,443,444,445,446,538,540,541,557,559,576,675,
676,677,678,679,680,681,682,683,684,685,809,893,894,895,896,897,898,899,
1047],[1,3,4,5,8,19,21,24,27,30,35,48,49,50,51,53,90,93,97,113,115,116,156,
157,159,160,163,164,165,166,208,240,282,284,286,294,295,373,374,376,378,381,
447,448,449,450,451,545,547,549,618,686,687,688,689,690,691,692,693,814,900,
901,902,903,904,1048],[1,3,4,5,8,17,19,20,27,30,35,48,51,53,83,97,99,113,115,
116,156,160,163,168,170,208,231,281,282,283,294,295,374,382,385,447,450,451,
542,549,550,619,686,689,690,694,695,813,901,905,906,1049],[1,3,4,5,8,19,23,25,
27,30,32,35,48,51,53,92,95,97,113,115,116,156,160,163,171,172,176,208,248,282,
285,287,294,295,296,374,386,387,447,450,451,546,548,549,621,686,689,690,696,
697,698,817,901,907,908,1050],[1,3,4,5,8,17,19,20,21,23,24,25,35,48,49,50,51,
53,83,84,85,93,95,100,101,113,115,116,157,160,164,165,166,168,170,171,172,208,
229,281,282,283,284,285,286,287,376,382,386,391,393,394,396,447,448,449,450,
451,542,543,544,547,548,551,552,623,687,689,691,692,693,694,695,696,697,812,
902,905,907,909,910,911,912,1051],[1,3,4,5,8,19,21,24,30,32,35,48,49,50,51,53,
92,93,99,113,115,116,157,160,163,164,165,166,176,208,246,282,284,286,295,296,
376,385,387,447,448,449,450,451,546,547,550,626,687,689,690,691,692,693,698,
816,902,906,908,1052],[1,3,4,5,8,17,19,20,27,32,35,48,51,53,83,90,92,113,115,
116,159,160,168,170,176,208,228,281,282,283,294,296,381,382,387,447,450,451,
542,545,546,631,688,689,694,695,698,811,904,905,908,1053],[1,3,4,5,8,19,23,25,
27,30,35,48,51,53,90,95,99,113,115,116,159,160,163,171,172,208,242,282,285,
287,294,295,381,385,386,447,450,451,545,548,550,634,688,689,690,696,697,815,
904,906,907,1054],[1,3,4,5,8,17,19,20,27,32,35,48,83,90,92,113,115,116,156,
183,208,228,281,282,283,294,296,404,447,542,545,546,637,686,699,811,913,
1055],[1,3,4,5,8,17,19,20,21,23,24,25,35,48,49,50,83,84,85,93,95,100,101,113,
115,116,157,183,208,229,281,282,283,284,285,286,287,404,405,406,447,448,449,
542,543,544,547,548,551,552,638,687,699,812,913,914,915,1056],[1,3,4,5,8,17,
19,20,27,30,35,48,83,97,99,113,115,116,159,183,208,231,281,282,283,294,295,
404,447,542,549,550,640,688,699,813,913,1057],[1,3,4,5,10,17,19,20,21,23,24,
25,35,58,61,62,83,84,85,93,95,100,101,113,115,116,185,195,209,229,281,282,283,
284,285,286,287,409,410,411,452,453,454,542,543,544,547,548,551,552,646,700,
704,812,916,917,918,1058],[1,3,4,5,10,19,21,24,27,30,35,58,90,93,97,113,115,
116,188,194,209,240,282,284,286,294,295,415,452,545,547,549,658,701,703,814,
919,1059],[1,3,4,5,10,17,19,20,21,23,24,25,35,58,61,62,83,84,85,93,95,100,101,
113,115,116,188,195,209,229,281,282,283,284,285,286,287,415,418,420,452,453,
454,542,543,544,547,548,551,552,659,701,704,812,919,920,921,1060],[1,3,4,5,10,
19,21,24,30,32,35,58,92,93,99,113,115,116,188,198,209,246,282,284,286,295,296,
415,452,546,547,550,662,701,705,816,919,1061],[1,2,3,4,5,6,7,13,15,16,19,26,
27,28,29,30,37,38,39,43,74,76,77,89,97,103,104,112,114,118,119,120,124,189,
207,221,278,279,280,288,289,290,291,292,293,413,421,422,440,443,445,537,538,
539,553,554,555,556,650,676,702,808,922,923,924,1062],[1,3,4,5,7,18,19,26,28,
32,37,39,86,89,92,114,118,119,127,189,207,232,288,290,291,298,301,413,443,553,
557,558,649,682,702,818,923,1063],[1,3,4,5,7,19,23,25,26,28,37,39,89,95,98,
114,118,119,134,189,207,239,288,290,291,299,300,413,443,553,559,560,653,684,
702,819,923,1064],[1,3,4,5,6,10,18,19,21,22,24,29,33,37,58,59,61,62,63,86,87,
88,93,94,114,118,119,188,193,195,197,202,203,234,290,298,415,419,429,557,660,
706,926,927,1065],[1,3,4,5,10,19,21,24,26,28,34,37,58,61,62,89,93,96,114,118,
119,188,191,195,196,237,288,290,291,415,426,553,655,706,927,1066],[1,3,4,5,10,
19,21,24,30,32,37,58,61,62,92,93,99,114,118,119,188,194,195,198,246,290,301,
415,431,558,662,706,927,1067],[1,2,3,4,5,8,12,13,14,17,18,19,20,37,46,47,48,
49,50,67,68,69,83,86,114,118,119,144,148,149,152,157,183,210,290,298,354,403,
404,557,635,707,928,929,1068],[1,2,3,6,8,12,15,17,18,21,22,23,37,46,47,49,51,
52,67,70,71,79,80,84,87,112,118,120,143,148,150,153,164,183,211,279,298,299,
348,361,403,405,540,605,707,928,930,931,1069],[1,2,3,5,6,8,12,14,15,16,17,18,
22,24,25,37,46,47,49,50,52,53,67,72,73,79,82,85,88,112,118,120,145,148,149,
150,151,154,165,183,212,279,298,300,359,361,403,406,541,606,707,928,930,932,
1070],[1,3,4,5,8,17,19,20,26,28,31,37,48,49,50,83,89,91,114,118,119,155,157,
158,183,227,288,290,291,370,404,553,636,707,929,1071],[1,3,4,5,8,17,19,20,27,
32,37,48,49,50,83,90,92,114,118,119,156,157,159,183,228,290,301,373,404,558,
637,707,929,1072],[1,2,3,4,5,6,8,13,15,16,17,19,20,22,29,33,37,46,48,49,50,52,
76,79,81,83,94,112,114,118,119,120,144,150,151,157,161,183,223,278,279,280,
290,292,356,361,404,538,603,707,929,930,1073],[1,3,4,5,8,17,19,20,21,23,24,25,
37,48,49,50,51,53,83,84,85,93,95,100,101,114,118,119,157,160,164,165,166,183,
229,290,299,300,376,404,405,406,559,638,707,929,931,932,1074],[1,3,4,5,8,17,
19,20,27,30,37,48,49,50,83,97,99,114,118,119,157,159,163,183,231,289,290,293,
378,404,555,640,707,929,1075],[1,3,4,5,8,17,19,20,24,25,28,34,37,48,49,50,53,
83,85,96,98,102,114,118,119,157,158,162,165,167,183,230,290,300,377,404,406,
560,639,707,929,932,1076],[1,2,3,4,5,7,12,13,14,19,26,27,28,35,38,39,40,41,42,
68,74,75,89,90,113,115,116,121,122,123,128,129,189,213,282,294,306,413,421,
545,648,708,933,934,1077],[1,2,3,4,5,6,7,13,15,16,19,26,27,28,29,30,35,38,39,
40,41,42,43,44,74,76,77,89,97,103,104,113,115,116,122,124,125,128,135,139,140,
189,221,282,294,295,312,413,421,422,549,650,708,933,934,935,1078],[1,3,4,5,7,
17,19,20,26,28,31,35,39,40,42,83,89,91,113,115,116,126,128,130,189,227,281,
282,283,318,413,542,641,708,934,1079],[1,3,4,5,7,18,19,26,28,32,35,39,40,42,
86,89,92,113,115,116,127,128,131,189,232,282,296,323,413,546,649,708,934,
1080],[1,3,4,5,7,19,21,24,26,28,34,35,39,40,42,89,93,96,113,115,116,128,132,
136,189,237,282,284,286,328,413,547,651,708,934,1081],[1,3,4,5,6,7,19,22,26,
28,29,30,33,35,39,40,42,43,44,89,94,99,103,105,113,115,116,128,133,137,139,
141,189,238,282,295,329,413,422,550,652,708,934,935,1082],[1,3,4,5,7,19,23,25,
26,28,35,39,40,42,89,95,98,113,115,116,128,134,138,189,239,282,285,287,330,
413,548,653,708,934,1083],[1,4,6,7,10,11,29,40,43,44,58,59,60,66,108,139,193,
205,206,260,261,262,302,303,304,438,506,561,562,563,564,565,566,712,822,826,
939,940,941,1084],[1,4,7,10,11,26,58,66,108,189,191,192,205,302,303,304,437,
535,564,712,823,824,825,1085],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,29,33,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,
57,67,68,69,70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,95,100,101,107,
121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,
140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,157,160,161,164,
165,166,168,169,170,171,172,173,174,177,178,179,180,181,182,210,211,212,215,
216,219,220,223,224,229,234,249,250,251,252,253,254,255,256,257,258,259,305,
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,
346,347,348,349,350,351,354,356,359,364,366,367,368,369,376,382,383,386,389,
391,392,393,394,395,396,399,400,401,402,456,471,472,473,474,475,476,477,478,
479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,
498,499,500,501,502,568,569,570,571,572,573,574,575,576,577,578,579,580,581,
582,583,584,585,586,590,591,594,595,609,611,623,624,715,716,717,719,720,721,
722,723,724,725,726,728,729,730,731,732,733,734,735,736,737,738,739,740,741,
742,743,744,745,746,747,748,749,750,751,752,753,754,755,831,833,943,944,945,
947,948,949,950,956,957,958,959,960,961,962,963,1086],[1,2,3,4,5,6,7,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,29,33,38,39,40,41,42,43,44,58,59,60,61,
62,63,64,65,67,68,69,70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,95,
100,101,108,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,
137,138,139,140,141,187,188,193,195,197,202,203,204,210,211,212,215,216,219,
220,223,224,229,234,260,261,262,263,264,265,266,305,306,307,308,309,310,311,
312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,
331,332,333,334,335,336,337,338,339,344,345,415,416,417,418,419,420,429,456,
505,506,507,508,509,510,511,512,568,569,570,571,572,573,574,575,576,577,578,
579,580,581,582,589,596,597,598,659,660,718,765,766,767,768,769,770,771,831,
840,946,951,952,969,970,971,972,1087],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,29,33,38,39,40,41,42,43,44,45,46,47,48,49,50,54,55,67,68,
69,70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,95,100,101,107,121,122,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
144,146,148,149,152,157,183,184,210,211,212,215,216,219,220,223,224,229,234,
249,250,251,252,253,254,255,305,306,307,308,309,310,311,312,313,314,315,316,
317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,
336,337,338,339,354,360,361,403,404,405,406,407,408,456,472,474,475,478,479,
482,485,503,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,603,
604,605,606,635,638,723,727,756,757,758,759,760,761,831,843,953,954,955,964,
965,966,967,1088],[1,2,3,4,5,6,8,10,12,13,14,19,22,23,25,26,27,28,29,30,33,46,
47,48,49,50,58,59,61,62,63,68,71,73,74,75,89,90,94,95,98,99,103,105,109,144,
148,149,152,155,156,157,158,159,191,193,194,195,196,197,198,202,203,213,216,
218,238,239,241,242,267,269,270,271,272,352,354,355,362,363,370,373,425,426,
427,429,430,431,432,459,513,514,515,518,520,521,522,523,524,525,526,527,528,
599,663,772,773,774,775,776,784,785,787,788,789,790,791,792,973,974,975,989,
990,993,994,1089],[1,2,3,4,5,6,8,10,13,15,16,17,19,20,22,26,27,28,29,30,31,33,
46,47,48,51,52,53,58,74,76,77,79,81,83,89,91,94,97,99,103,104,105,109,144,152,
153,154,155,156,159,160,161,162,163,168,169,170,174,175,183,185,191,221,223,
225,227,231,238,244,267,269,352,361,362,364,365,366,367,371,372,374,375,382,
383,384,385,390,404,409,462,513,518,520,529,603,607,609,610,614,615,619,620,
636,640,644,772,777,793,842,845,976,991,995,1090],[1,2,3,4,5,6,8,10,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,29,33,46,47,48,49,50,51,52,53,58,61,62,67,68,
69,70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,95,100,101,109,143,144,
145,148,149,150,151,152,153,154,157,160,161,164,165,166,168,169,170,171,172,
173,174,183,185,195,210,211,212,215,216,219,220,223,224,229,234,267,269,270,
271,341,342,343,348,349,350,351,354,356,359,361,364,366,367,368,369,376,382,
383,386,389,391,392,393,394,395,396,403,404,405,406,409,410,411,456,513,514,
515,521,529,583,585,586,590,591,594,595,603,605,606,609,611,623,624,635,638,
646,773,777,793,794,795,796,833,843,976,977,978,996,997,1091],[1,2,3,4,5,6,8,
10,13,15,16,17,19,20,22,24,25,27,28,29,32,33,34,46,47,48,50,51,52,53,58,62,75,
76,79,81,83,85,90,92,94,96,98,102,104,106,109,144,152,153,154,156,158,159,160,
161,166,167,168,169,170,172,174,176,183,185,196,222,223,226,228,230,241,247,
267,269,271,355,361,363,364,366,367,379,380,381,382,383,387,388,394,397,398,
404,406,409,411,464,513,520,522,529,603,608,609,612,627,628,631,632,637,639,
647,774,777,793,796,844,847,976,998,999,1092],[1,2,3,4,5,6,7,8,9,12,13,14,15,
16,19,21,24,26,27,28,29,30,34,38,39,43,46,47,48,49,50,51,52,53,54,56,57,68,70,
72,74,75,76,77,89,90,93,96,97,103,104,107,121,124,132,143,144,145,148,149,150,
151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,177,189,
190,213,215,217,221,222,237,240,249,250,253,256,257,308,342,348,350,352,353,
354,355,356,357,359,362,363,364,365,370,371,372,373,374,375,376,377,378,379,
380,381,413,414,421,422,423,424,458,471,474,476,480,488,517,587,590,592,599,
600,601,602,607,608,613,618,648,650,651,656,719,779,780,781,782,783,836,863,
980,981,982,983,984,1093],[1,2,3,4,5,6,7,8,9,13,15,16,17,19,20,22,26,27,28,29,
30,31,33,38,39,43,47,48,51,52,53,54,56,57,74,76,77,79,81,83,89,91,94,97,99,
103,104,105,107,124,126,133,152,153,154,155,156,160,161,162,163,168,169,170,
174,175,177,179,180,189,190,221,223,225,227,231,238,244,250,256,257,314,362,
364,365,366,367,371,372,374,375,382,383,384,385,390,399,413,414,421,422,423,
424,462,480,494,495,517,607,609,610,614,615,619,620,641,643,650,652,656,657,
730,779,782,783,845,858,861,981,985,986,1094],[1,2,3,4,5,6,7,8,9,13,15,16,18,
19,23,25,26,27,28,29,30,32,38,39,43,47,48,51,52,53,54,56,57,74,76,77,80,82,86,
89,92,95,97,98,103,104,107,124,127,134,152,153,154,155,156,160,161,162,163,
171,172,173,176,177,189,190,221,224,226,232,236,239,248,250,256,257,315,362,
364,365,368,369,371,372,374,375,386,387,388,389,413,414,421,422,423,424,463,
480,498,500,517,607,611,612,616,617,621,622,649,650,653,656,732,779,782,783,
846,865,981,987,988,1095],[1,2,3,4,5,7,8,9,12,13,14,17,18,19,20,26,27,28,31,
32,38,39,46,48,51,53,56,67,68,69,74,75,78,83,86,89,90,91,92,107,121,126,127,
143,144,145,155,159,160,162,168,170,173,175,176,179,189,190,210,213,214,227,
228,232,233,249,256,305,341,342,343,352,353,358,371,381,382,384,387,389,413,
414,421,455,471,494,500,517,583,587,588,614,617,631,633,641,643,648,649,715,
780,782,832,857,982,985,988,1096],[1,2,3,4,5,6,7,8,9,12,13,14,19,22,23,25,26,
27,28,29,30,33,38,39,43,46,48,51,52,53,56,57,68,71,73,74,75,89,90,94,95,98,99,
103,105,107,121,133,134,143,144,145,155,159,160,161,162,163,169,171,172,174,
180,189,190,213,216,218,238,239,241,242,249,256,257,309,342,349,351,352,353,
371,372,381,383,385,386,388,390,413,414,421,422,424,459,471,495,498,517,587,
591,593,615,616,632,634,648,652,653,657,720,780,782,783,837,864,982,986,987,
1097],[1,3,4,5,7,8,9,17,19,20,21,23,24,25,26,28,31,34,39,48,49,50,51,53,56,83,
84,85,89,91,93,95,96,98,100,101,102,107,126,132,134,155,157,158,160,162,164,
165,166,167,168,170,171,172,175,179,189,190,227,229,230,237,239,243,245,253,
256,320,370,371,376,377,379,382,384,386,388,391,393,394,396,397,413,414,466,
488,494,498,517,613,614,616,623,625,627,629,641,643,651,653,744,781,782,849,
859,984,985,987,1098],[1,3,4,5,6,7,8,9,18,19,21,22,24,26,28,29,30,32,33,34,39,
43,48,49,50,51,52,53,56,57,86,87,88,89,92,93,94,96,99,103,105,106,107,127,132,
133,155,157,158,160,161,162,163,164,165,166,167,169,173,174,176,180,189,190,
232,234,235,237,238,246,247,253,256,257,325,370,371,372,376,377,379,383,385,
387,389,390,392,395,398,413,414,422,424,468,488,495,500,517,613,615,617,624,
626,628,630,649,651,652,657,745,781,782,783,850,866,984,986,988,1099],[1,2,3,
4,5,8,10,12,13,14,17,18,19,20,26,27,28,31,32,46,47,48,51,53,58,67,68,69,74,75,
78,83,86,89,90,91,92,109,143,144,145,152,155,156,159,160,162,168,170,173,175,
176,183,185,191,210,213,214,227,228,232,233,267,269,341,342,343,352,353,358,
362,371,381,382,384,387,389,403,404,409,455,513,518,520,529,583,587,588,614,
617,631,633,635,636,637,644,772,793,794,832,853,991,996,999,1100],[1,3,4,5,8,
10,17,19,20,21,23,24,25,26,28,31,34,48,49,50,51,53,58,61,62,83,84,85,89,91,93,
95,96,98,100,101,102,109,155,157,158,160,162,164,165,166,167,168,170,171,172,
175,183,185,191,195,196,227,229,230,237,239,243,245,269,270,271,370,371,376,
377,379,382,384,386,388,391,393,394,396,397,404,405,406,409,410,411,426,466,
518,521,522,529,613,614,616,623,625,627,629,636,638,639,644,646,647,784,793,
795,796,849,855,862,991,997,998,1101],[1,2,3,4,5,8,9,11,12,13,14,17,18,19,20,
26,27,28,31,32,46,48,51,53,54,67,68,69,74,75,78,83,86,89,90,91,92,110,143,144,
145,155,159,160,162,168,170,173,175,176,184,186,190,192,199,200,210,213,214,
227,228,232,233,273,341,342,343,352,353,358,371,381,382,384,387,389,407,423,
433,455,519,530,531,583,587,588,614,617,631,633,642,645,786,797,799,832,860,
992,1102],[1,2,3,4,5,8,10,12,13,14,17,18,19,20,24,25,27,28,30,34,46,47,48,50,
51,53,58,62,67,68,69,75,77,83,85,86,96,97,98,99,102,109,143,144,145,152,156,
158,159,160,163,166,167,168,170,172,173,183,185,196,210,217,218,230,231,235,
236,267,269,271,341,342,343,355,357,363,374,379,382,385,388,389,394,397,403,
404,406,409,411,457,513,520,522,529,583,592,593,619,622,627,630,635,639,640,
647,774,793,794,796,834,854,995,996,998,1103],[1,3,4,5,8,10,17,19,20,21,23,24,
25,27,30,32,48,49,50,51,53,58,61,62,83,84,85,90,92,93,95,97,99,100,101,109,
156,157,159,160,163,164,165,166,168,170,171,172,176,183,185,195,228,229,231,
240,242,246,248,269,270,271,373,374,376,378,381,382,385,386,387,391,393,394,
396,404,405,406,409,410,411,467,520,521,529,618,619,621,623,626,631,634,637,
638,640,646,787,793,795,796,851,856,995,997,999,1104],[1,2,3,4,5,7,8,9,12,13,
14,17,18,19,20,26,27,28,31,32,38,39,47,48,54,67,68,69,74,75,78,83,86,89,90,91,
92,107,121,126,127,152,155,156,183,184,189,190,199,210,213,214,227,228,232,
233,250,305,362,403,404,407,413,421,423,433,455,503,517,635,636,637,641,642,
648,649,756,779,853,857,860,1001,1105],[1,2,3,4,5,6,7,8,9,13,15,16,17,19,20,
22,26,27,28,29,30,31,33,38,39,43,46,48,74,76,77,79,81,83,89,91,94,97,99,103,
104,105,107,124,126,133,144,155,159,183,184,189,190,199,221,223,225,227,231,
238,244,249,314,352,361,404,413,421,422,462,503,517,603,636,640,641,642,650,
652,727,780,842,858,1001,1106],[1,3,4,5,7,8,9,17,19,20,21,23,24,25,26,28,31,
34,39,48,49,50,83,84,85,89,91,93,95,96,98,100,101,102,107,126,132,134,155,157,
158,183,184,189,190,199,227,229,230,237,239,243,245,253,320,370,404,405,406,
413,466,503,517,636,638,639,641,642,651,653,759,781,855,859,1001,1107],[1,2,3,
4,5,6,8,9,11,13,15,16,17,19,20,22,26,27,28,29,30,31,33,46,48,54,56,57,74,76,
77,79,81,83,89,91,94,97,99,103,104,105,110,144,155,159,177,179,180,183,186,
190,192,200,221,223,225,227,231,238,244,273,352,361,399,404,414,423,424,462,
519,533,603,636,640,643,645,656,657,786,800,842,861,1002,1108],[1,3,4,5,7,10,
11,17,19,20,21,23,24,25,26,28,31,34,39,58,61,62,83,84,85,89,91,93,95,96,98,
100,101,102,108,126,132,134,185,186,189,191,192,195,196,200,227,229,230,237,
239,243,245,263,320,409,410,411,413,426,466,504,535,641,644,645,646,647,651,
653,763,805,859,862,1003,1109],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,19,21,24,
26,27,28,29,30,34,38,39,43,58,59,68,70,72,74,75,76,77,89,90,93,96,97,103,104,
108,121,124,132,187,188,189,191,192,193,194,201,213,215,217,221,222,237,240,
261,308,344,413,415,421,422,425,458,505,535,589,648,650,651,654,655,658,718,
804,835,863,1005,1110],[1,3,4,5,7,10,11,17,19,20,21,23,24,25,26,28,31,34,39,
58,61,62,83,84,85,89,91,93,95,96,98,100,101,102,108,126,132,134,187,188,189,
191,192,195,196,201,227,229,230,237,239,243,245,263,320,413,415,418,420,426,
466,505,535,641,651,653,654,655,659,661,767,805,859,868,1005,1111],[1,3,4,5,6,
7,10,11,18,19,21,22,24,26,28,29,30,32,33,34,39,43,58,63,65,86,87,88,89,92,93,
94,96,99,103,105,106,108,127,132,133,187,188,189,191,192,197,198,201,232,234,
235,237,238,246,247,265,325,413,415,416,419,422,427,428,434,468,505,535,649,
651,652,654,655,660,662,768,806,866,867,869,1005,1112],[1,3,10,21,35,36,37,61,
113,118,188,209,284,435,453,665,701,706,1113],[1,3,8,17,35,36,37,49,113,118,
183,208,281,435,448,665,699,707,1114],[1,4,7,26,35,36,37,40,114,115,189,207,
288,435,441,664,702,708,1115],[1,3,4,5,10,17,19,20,21,23,24,25,58,61,62,66,83,
84,85,93,95,100,101,185,188,195,205,229,304,409,410,411,415,418,420,564,646,
659,1011,1116],[1,3,4,5,8,10,19,27,35,48,49,50,58,61,62,90,109,113,115,116,
156,157,159,195,208,209,269,270,271,282,294,373,447,448,449,452,453,454,520,
521,545,567,686,687,688,704,787,828,829,830,900,1012,1013,1117],[1,3,4,5,8,10,
19,23,25,35,48,49,50,58,61,62,95,109,113,115,116,157,195,208,209,269,270,271,
282,285,287,447,448,449,452,453,454,521,526,527,548,567,687,704,789,828,829,
830,1013,1015,1016,1118],[1,3,4,5,8,10,19,30,35,48,49,50,58,61,62,99,109,113,
115,116,157,194,195,198,208,209,269,270,271,282,295,431,447,448,449,452,453,
454,521,524,550,567,687,703,704,705,790,828,829,830,925,1013,1014,1119],[1,3,
4,5,8,10,17,19,20,35,48,51,53,58,83,109,113,115,116,160,168,170,183,185,208,
209,269,281,282,283,382,404,409,447,450,451,452,529,542,567,689,694,695,699,
700,793,828,905,913,916,1017,1120],[1,3,8,10,17,21,23,35,49,51,61,84,109,113,
164,168,171,183,185,208,209,270,281,284,285,391,405,410,448,450,453,529,543,
567,691,694,696,699,700,795,829,909,914,917,1017,1121],[1,3,5,8,10,17,24,25,
35,50,51,62,85,109,113,116,166,168,172,183,185,208,209,271,281,286,287,394,
406,411,449,450,454,529,544,567,693,694,697,699,700,796,830,911,915,918,1017,
1122],[1,3,6,7,10,11,18,21,22,37,39,43,59,61,63,65,87,108,118,127,132,133,187,
188,202,207,261,263,265,298,325,416,419,443,505,509,682,706,768,926,1018,
1123],[1,3,4,5,7,10,11,19,21,24,37,39,40,42,58,61,62,64,93,108,114,118,119,
128,132,136,187,188,195,207,260,263,264,290,328,415,441,443,444,505,507,678,
706,765,927,1018,1124],[1,3,6,7,10,11,18,21,22,37,39,44,59,60,61,63,87,108,
118,131,132,137,187,188,202,207,262,263,266,298,337,419,443,505,511,683,706,
770,926,1018,1125],[1,2,3,7,8,9,12,17,18,37,38,39,46,47,49,54,67,107,118,121,
126,127,148,183,184,207,249,250,253,298,305,403,407,443,474,503,682,707,756,
928,1019,1126],[1,3,4,5,7,8,9,17,19,20,37,39,40,42,48,49,50,55,83,107,114,118,
119,126,128,130,157,183,184,207,251,253,255,290,318,404,441,443,444,482,503,
678,707,757,929,1019,1127],[1,2,3,7,8,9,12,17,18,37,39,41,45,46,47,49,67,107,
118,126,129,131,148,183,184,207,252,253,254,298,319,403,443,485,503,683,707,
758,928,1019,1128],[1,2,3,6,7,8,9,15,17,22,37,38,39,43,46,49,52,57,79,107,112,
118,120,124,126,133,150,183,184,207,249,253,257,279,314,361,440,443,445,476,
503,676,707,727,930,1019,1129],[1,3,7,8,9,17,21,23,37,39,49,51,56,84,107,118,
126,132,134,164,183,184,207,253,256,299,320,405,443,488,503,684,707,759,931,
1019,1130],[1,2,3,6,7,8,9,15,17,22,37,39,41,44,45,46,49,52,79,107,112,118,120,
126,135,137,150,183,184,207,253,254,259,279,321,360,361,442,443,446,489,503,
680,707,760,930,1019,1131],[1,3,5,7,8,9,17,24,25,37,39,42,49,50,53,55,85,107,
118,126,136,138,165,183,184,207,253,255,258,300,322,406,408,443,490,503,685,
707,761,932,1019,1132],[1,2,4,7,8,9,13,26,27,35,38,40,41,45,46,48,74,107,115,
122,144,155,159,189,190,208,249,251,254,294,352,421,447,472,517,688,708,780,
933,1020,1133],[1,2,4,7,8,9,13,26,27,35,38,40,41,47,48,54,74,107,115,122,152,
155,156,189,190,208,250,251,252,294,362,421,423,447,478,517,686,708,779,933,
1020,1134],[1,3,4,5,7,8,9,19,26,28,35,39,40,42,48,49,50,55,89,107,113,115,116,
128,155,157,158,189,190,208,251,253,255,282,370,413,447,448,449,482,517,687,
708,781,934,1020,1135],[1,3,4,5,7,8,9,19,26,28,35,39,40,42,48,51,53,56,89,107,
113,115,116,128,155,160,162,189,190,208,251,256,258,282,371,413,414,447,450,
451,483,517,689,708,782,934,1020,1136],[1,4,6,7,8,9,26,29,30,35,40,43,44,48,
52,57,103,107,115,139,155,161,163,189,190,208,251,257,259,295,372,422,424,447,
484,517,690,708,783,935,1020,1137],[1,4,6,7,10,11,26,29,30,35,40,43,44,58,59,
60,103,108,115,139,189,191,192,193,194,209,260,261,262,295,422,425,452,506,
535,703,708,804,935,1021,1138],[1,3,4,5,7,10,11,19,26,28,35,39,40,42,58,61,62,
64,89,108,113,115,116,128,189,191,192,195,196,209,260,263,264,282,413,426,452,
453,454,507,535,704,708,805,934,1021,1139],[1,4,6,7,10,11,26,29,30,35,40,43,
44,58,63,65,103,108,115,139,189,191,192,197,198,209,260,265,266,295,422,427,
428,452,508,535,705,708,806,935,1021,1140],[1,3,8,10,17,21,23,37,49,61,84,109,
118,183,188,270,405,418,526,706,707,1141],[1,3,4,5,19,23,25,27,30,32,35,36,37,
92,95,97,113,114,115,116,117,118,119,248,282,285,287,289,290,293,294,295,296,
297,299,300,301,435,546,548,549,555,558,559,664,665,666,817,820,872,873,874,
875,876,877,878,1026,1027,1028,1142],[1,4,10,30,35,58,66,115,194,205,209,295,
304,439,452,470,564,703,714,827,879,942,1029,1143],[1,4,7,26,35,40,66,115,189,
205,302,437,470,561,708,714,823,1144],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,22,
23,25,29,33,38,39,40,41,42,43,44,45,46,47,48,49,50,54,55,58,59,60,61,62,63,64,
65,68,71,73,94,95,107,108,109,110,111,121,122,123,128,129,133,134,137,138,139,
141,144,146,148,149,152,157,193,195,197,202,203,204,216,249,250,251,252,253,
254,255,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,
277,306,309,311,329,330,332,333,354,429,436,472,474,475,478,479,482,485,506,
507,508,509,510,511,512,513,514,515,516,521,523,525,526,527,528,532,572,667,
668,669,670,671,672,673,723,771,773,775,776,788,789,880,881,882,883,884,885,
886,887,888,889,890,974,1030,1031,1032,1034,1035,1037,1038,1145],[1,2,3,4,5,6,
7,8,9,10,11,13,15,16,17,19,20,22,29,33,38,39,40,41,42,43,44,45,46,47,48,51,52,
53,54,56,57,58,76,79,81,83,94,107,108,109,110,111,122,124,125,126,128,130,133,
135,137,139,140,141,144,152,153,154,160,161,168,169,170,174,177,179,180,183,
184,185,186,223,249,250,251,252,254,256,257,258,259,260,267,268,269,273,312,
314,316,318,321,329,335,360,361,364,366,367,382,383,399,404,409,436,472,478,
480,481,483,484,486,487,494,495,496,497,502,503,504,513,529,530,533,534,575,
603,609,667,668,669,727,728,730,731,735,736,740,741,757,760,762,777,778,793,
800,880,891,953,956,976,1033,1036,1039,1146],[1,2,3,6,7,8,9,10,11,12,15,17,18,
21,22,23,38,39,43,46,47,49,51,52,54,56,57,61,67,70,71,79,80,84,87,107,108,109,
110,111,121,124,126,127,132,133,134,143,148,150,153,164,168,169,171,173,177,
179,180,183,184,185,186,211,249,250,253,256,257,263,267,270,273,305,308,309,
314,315,320,325,341,348,349,361,366,368,391,392,399,403,405,407,410,436,471,
474,476,480,488,494,495,498,500,503,504,514,529,530,533,534,569,585,605,667,
670,715,719,720,727,730,732,744,745,756,759,763,777,794,795,797,800,881,891,
944,954,977,1033,1040,1041,1147],[1,2,3,5,6,7,8,9,10,11,12,14,15,16,17,18,22,
24,25,38,39,41,42,43,45,46,47,50,51,52,54,55,56,57,62,64,67,72,73,79,82,85,88,
107,108,109,110,111,123,124,126,129,131,133,136,138,140,142,143,146,147,149,
151,153,166,168,169,172,173,177,178,179,180,181,182,183,184,185,186,212,249,
250,252,254,255,256,257,264,267,268,271,273,274,275,313,314,317,319,322,332,
338,340,341,346,347,350,351,361,366,369,394,395,399,400,401,402,403,406,408,
411,412,436,475,479,480,491,492,493,494,495,499,501,503,504,515,516,529,530,
533,534,577,584,586,606,667,669,671,727,729,730,733,748,749,752,753,758,761,
764,777,794,796,798,800,801,802,803,882,891,955,958,978,1000,1033,1042,1043,
1148],[1,2,3,4,5,7,8,9,10,11,12,13,14,17,18,19,20,38,39,40,41,42,45,46,47,48,
51,53,54,56,58,67,68,69,83,86,107,108,109,110,111,121,122,123,126,127,128,129,
130,131,142,143,144,145,152,160,168,170,173,179,182,183,184,185,186,210,249,
250,251,252,254,256,258,260,267,268,269,273,305,306,307,318,319,323,324,340,
341,342,343,382,389,403,404,407,409,436,471,472,473,478,483,491,494,496,500,
501,503,504,513,529,530,533,534,568,583,635,667,668,669,715,716,717,735,738,
748,750,756,757,758,762,793,794,797,801,880,891,943,964,996,1036,1040,1042,
1149],[1,3,4,5,7,8,9,10,11,17,19,20,21,23,24,25,39,40,42,48,49,50,51,53,55,56,
58,61,62,64,83,84,85,93,95,100,101,107,108,109,110,111,126,128,130,132,134,
136,138,157,160,164,165,166,168,170,171,172,178,179,181,183,184,185,186,195,
229,251,253,255,256,258,260,263,264,269,270,271,274,275,318,320,322,328,330,
334,336,376,382,386,391,393,394,396,401,404,405,406,408,409,410,411,412,436,
482,483,488,490,493,494,496,498,499,503,504,507,521,529,530,533,534,579,623,
638,646,668,670,671,734,735,737,744,746,752,754,757,759,761,762,763,764,793,
795,796,798,802,803,883,891,960,966,968,997,1036,1041,1043,1150],[1,2,3,5,6,7,
8,9,10,11,12,14,15,16,17,18,22,24,25,38,39,41,42,44,45,46,47,50,51,52,54,55,
56,62,64,67,72,73,79,82,85,88,107,108,109,110,111,121,123,125,126,127,135,136,
137,138,143,146,149,151,153,166,168,169,172,173,178,179,181,183,184,185,186,
212,249,250,252,254,255,256,259,264,267,268,271,273,274,275,305,310,311,321,
322,326,327,341,350,351,360,361,366,369,394,395,401,403,406,407,408,411,412,
436,471,475,477,479,486,493,494,497,499,500,503,504,515,516,529,530,533,534,
570,586,604,606,667,669,671,715,721,722,740,743,752,755,756,760,761,764,777,
778,794,796,797,798,802,803,882,891,945,965,978,979,1039,1040,1043,1151],[1,2,
3,6,7,8,9,10,11,12,15,17,18,21,22,23,39,41,44,45,46,47,49,51,52,56,61,67,70,
71,79,80,84,87,107,108,109,110,111,126,129,131,132,134,135,137,142,143,148,
150,153,164,168,169,171,173,179,182,183,184,185,186,211,252,253,254,256,259,
263,267,268,270,319,320,321,331,333,337,339,340,341,348,349,360,361,366,368,
391,392,403,405,410,436,485,486,488,489,491,494,497,498,501,503,504,514,529,
530,533,534,580,585,605,669,670,739,740,742,744,747,748,751,758,759,760,763,
777,778,794,795,801,885,891,962,967,977,1039,1041,1042,1152],[1,2,3,4,5,7,8,9,
10,11,12,13,14,19,26,27,28,38,39,46,47,48,49,50,54,58,61,62,68,74,75,89,90,
107,108,109,110,111,121,144,148,149,152,155,156,157,158,159,189,190,191,192,
195,196,213,249,250,253,263,267,269,270,271,273,352,354,355,362,363,370,373,
413,421,423,426,436,474,513,514,515,517,518,519,520,521,522,535,536,599,648,
667,670,772,773,774,779,780,781,784,786,787,805,881,892,973,980,1044,1045,
1153],[1,3,4,5,6,7,8,9,10,11,19,22,26,28,29,30,33,39,43,48,49,50,58,59,61,62,
63,65,89,94,99,103,105,107,108,109,110,111,133,155,157,158,189,190,191,192,
193,194,195,196,197,198,202,203,238,253,261,263,265,269,270,271,272,276,370,
413,422,425,426,427,428,429,430,431,432,436,509,517,518,519,521,522,523,524,
525,528,535,536,652,663,670,672,781,784,785,788,790,792,804,805,806,807,886,
892,989,1006,1045,1046,1154],[1,3,4,5,7,8,9,10,11,19,23,25,26,28,39,48,49,50,
58,61,62,89,95,98,107,108,109,110,111,134,155,157,158,189,190,191,192,195,196,
239,253,263,269,270,271,370,413,426,436,517,518,519,521,522,526,527,535,536,
653,670,781,784,789,791,805,887,892,990,1045,1155],[1,3,4,5,7,8,9,10,11,17,19,
20,26,28,31,39,48,51,53,56,58,83,89,91,107,108,109,110,111,126,155,160,162,
168,170,175,179,183,184,185,186,189,190,191,192,199,200,227,256,269,371,382,
384,404,409,413,414,436,494,503,504,517,518,519,529,530,531,533,534,535,536,
614,636,641,642,643,644,645,782,793,891,892,985,991,992,1001,1002,1003,1004,
1156],[1,3,4,5,8,17,19,20,21,23,24,25,27,30,32,35,48,49,50,51,53,83,84,85,90,
92,93,95,97,99,100,101,113,115,116,156,157,159,160,163,164,165,166,168,170,
171,172,176,208,228,229,231,240,242,246,248,281,282,283,284,285,286,287,294,
295,296,373,374,376,378,381,382,385,386,387,391,393,394,396,447,448,449,450,
451,467,542,543,544,545,546,547,548,549,550,551,552,618,619,621,623,626,631,
634,686,687,688,689,690,691,692,693,694,695,696,697,698,811,812,813,814,815,
816,817,851,900,901,902,903,904,905,906,907,908,909,910,911,912,1008,1048,
1049,1050,1051,1052,1053,1054,1157],[1,3,4,5,8,17,19,20,21,23,24,25,27,30,32,
35,48,49,50,83,84,85,90,92,93,95,97,99,100,101,113,115,116,156,157,159,183,
208,228,229,231,240,242,246,248,281,282,283,284,285,286,287,294,295,296,373,
404,405,406,447,448,449,467,542,543,544,545,546,547,548,549,550,551,552,637,
638,640,686,687,688,699,811,812,813,814,815,816,817,856,900,913,914,915,1008,
1055,1056,1057,1158],[1,3,4,5,10,17,19,20,21,23,24,25,27,30,32,35,58,61,62,83,
84,85,90,92,93,95,97,99,100,101,113,115,116,188,194,195,198,209,228,229,231,
240,242,246,248,281,282,283,284,285,286,287,294,295,296,415,418,420,431,452,
453,454,467,542,543,544,545,546,547,548,549,550,551,552,658,659,662,701,703,
704,705,811,812,813,814,815,816,817,870,919,920,921,925,1008,1059,1060,1061,
1159],[1,2,3,4,5,6,7,13,15,16,18,19,23,25,26,27,28,29,30,32,37,38,39,43,74,76,
77,80,82,86,89,92,95,97,98,103,104,112,114,118,119,120,124,127,134,189,207,
221,224,226,232,236,239,248,278,279,280,288,289,290,291,292,293,298,299,300,
301,315,413,421,422,440,443,445,463,537,538,539,540,541,553,554,555,556,557,
558,559,560,649,650,653,676,682,684,702,808,809,810,818,819,820,821,865,894,
922,923,924,1007,1062,1063,1064,1160],[1,3,4,5,6,10,18,19,21,22,24,26,28,29,
30,32,33,34,37,58,59,61,62,63,86,87,88,89,92,93,94,96,99,103,105,106,114,118,
119,188,191,193,194,195,196,197,198,202,203,232,234,235,237,238,246,247,288,
290,291,298,301,415,419,425,426,427,429,430,431,432,468,553,557,558,655,660,
662,663,706,818,869,926,927,1065,1066,1067,1161],[1,2,3,4,5,8,12,13,14,17,18,
19,20,26,27,28,31,32,37,46,47,48,49,50,67,68,69,74,75,78,83,86,89,90,91,92,
114,118,119,144,148,149,152,155,156,157,158,159,183,210,213,214,227,228,232,
233,288,290,291,298,301,352,354,355,362,363,370,373,403,404,455,553,557,558,
599,635,636,637,707,818,853,928,929,1068,1071,1072,1162],[1,2,3,4,5,6,8,12,13,
14,15,16,17,18,19,20,21,22,23,24,25,29,33,37,46,47,48,49,50,51,52,53,67,68,69,
70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,95,100,101,112,114,118,119,
120,143,144,145,148,149,150,151,152,153,154,157,160,161,164,165,166,183,210,
211,212,215,216,219,220,223,224,229,234,278,279,280,290,292,298,299,300,342,
348,350,354,356,359,361,364,376,403,404,405,406,456,538,540,541,557,559,590,
603,605,606,635,638,707,809,843,928,929,930,931,932,1068,1069,1070,1073,1074,
1163],[1,2,3,4,5,8,12,13,14,17,18,19,20,24,25,27,28,30,34,37,46,47,48,49,50,
53,67,68,69,75,77,83,85,86,96,97,98,99,102,114,118,119,144,148,149,152,157,
158,159,162,163,165,167,183,210,217,218,230,231,235,236,289,290,293,298,300,
353,354,357,363,365,377,378,403,404,406,457,555,557,560,601,635,639,640,707,
821,854,928,929,932,1068,1075,1076,1164],[1,2,3,4,5,6,8,13,15,16,17,19,20,22,
26,27,28,29,30,31,33,37,46,48,49,50,52,74,76,77,79,81,83,89,91,94,97,99,103,
104,105,112,114,118,119,120,144,150,151,155,157,158,159,161,163,183,221,223,
225,227,231,238,244,278,279,280,288,289,290,291,292,293,352,356,357,361,370,
372,378,380,404,462,537,538,539,553,554,555,556,600,603,636,640,707,808,842,
929,930,1071,1073,1075,1165],[1,3,4,5,8,17,19,20,21,23,24,25,26,28,31,34,37,
48,49,50,51,53,83,84,85,89,91,93,95,96,98,100,101,102,114,118,119,155,157,158,
160,162,164,165,166,167,183,227,229,230,237,239,243,245,288,290,291,299,300,
370,371,376,377,379,404,405,406,466,553,559,560,613,636,638,639,707,819,855,
929,931,932,1071,1074,1076,1166],[1,2,3,4,5,6,8,13,15,16,17,19,20,22,24,25,27,
28,29,32,33,34,37,46,48,49,50,52,53,75,76,79,81,83,85,90,92,94,96,98,102,104,
106,112,114,118,119,120,144,150,151,156,157,158,159,161,162,165,167,183,222,
223,226,228,230,241,247,278,279,280,290,292,300,301,353,355,356,361,373,375,
377,380,404,406,464,538,558,560,602,603,637,639,707,810,844,929,930,932,1072,
1073,1076,1167],[1,3,4,5,8,17,19,20,21,23,24,25,27,30,32,37,48,49,50,51,53,83,
84,85,90,92,93,95,97,99,100,101,114,118,119,156,157,159,160,163,164,165,166,
183,228,229,231,240,242,246,248,289,290,293,299,300,301,373,374,376,378,381,
404,405,406,467,555,558,559,618,637,638,640,707,820,856,929,931,932,1072,1074,
1075,1168],[1,2,3,4,5,7,12,13,14,17,18,19,20,26,27,28,31,32,35,38,39,40,41,42,
67,68,69,74,75,78,83,86,89,90,91,92,113,115,116,121,122,123,126,127,128,129,
130,131,189,210,213,214,227,228,232,233,281,282,283,294,296,305,306,307,318,
319,323,324,413,421,455,542,545,546,568,641,648,649,708,811,857,933,934,1077,
1079,1080,1169],[1,2,3,4,5,6,7,12,13,14,15,16,19,21,24,26,27,28,29,30,34,35,
38,39,40,41,42,43,44,68,70,72,74,75,76,77,89,90,93,96,97,103,104,113,115,116,
121,122,123,124,125,128,129,132,135,136,139,140,189,213,215,217,221,222,237,
240,282,284,286,294,295,306,308,310,312,313,328,331,413,421,422,458,545,547,
549,571,648,650,651,708,814,863,933,934,935,1077,1078,1081,1170],[1,2,3,4,5,6,
7,12,13,14,19,22,23,25,26,27,28,29,30,33,35,38,39,40,41,42,43,44,68,71,73,74,
75,89,90,94,95,98,99,103,105,113,115,116,121,122,123,128,129,133,134,137,138,
139,141,189,213,216,218,238,239,241,242,282,285,287,294,295,306,309,311,329,
330,332,333,413,421,422,459,545,548,550,572,648,652,653,708,815,864,933,934,
935,1077,1082,1083,1171],[1,2,3,4,5,6,7,13,15,16,17,19,20,22,26,27,28,29,30,
31,33,35,38,39,40,41,42,43,44,74,76,77,79,81,83,89,91,94,97,99,103,104,105,
113,115,116,122,124,125,126,128,130,133,135,137,139,140,141,189,221,223,225,
227,231,238,244,281,282,283,294,295,312,314,316,318,321,329,335,413,421,422,
462,542,549,550,575,641,650,652,708,813,858,933,934,935,1078,1079,1082,1172],[
1,2,3,4,5,6,7,13,15,16,18,19,23,25,26,27,28,29,30,32,35,38,39,40,41,42,43,44,
74,76,77,80,82,86,89,92,95,97,98,103,104,113,115,116,122,124,125,127,128,131,
134,135,138,139,140,189,221,224,226,232,236,239,248,282,285,287,294,295,296,
312,315,317,323,326,330,339,413,421,422,463,546,548,549,576,649,650,653,708,
817,865,933,934,935,1078,1080,1083,1173],[1,3,4,5,7,17,19,20,21,23,24,25,26,
28,31,34,35,39,40,42,83,84,85,89,91,93,95,96,98,100,101,102,113,115,116,126,
128,130,132,134,136,138,189,227,229,230,237,239,243,245,281,282,283,284,285,
286,287,318,320,322,328,330,334,336,413,466,542,543,544,547,548,551,552,579,
641,651,653,708,812,859,934,1079,1081,1083,1174],[1,3,4,5,6,7,18,19,21,22,24,
26,28,29,30,32,33,34,35,39,40,42,43,44,86,87,88,89,92,93,94,96,99,103,105,106,
113,115,116,127,128,131,132,133,136,137,139,141,189,232,234,235,237,238,246,
247,282,284,286,295,296,323,325,327,328,329,337,338,413,422,468,546,547,550,
581,649,651,652,708,816,866,934,935,1080,1081,1082,1175],[1,4,6,7,10,11,26,29,
30,43,58,59,66,103,108,189,191,192,193,194,205,206,261,302,303,304,422,425,
437,438,439,535,562,564,566,674,712,804,823,824,825,826,827,940,1009,1010,
1085,1176],[1,3,7,10,11,17,21,23,39,61,66,84,108,126,132,134,185,186,187,188,
263,302,303,304,320,410,418,504,505,712,763,767,1011,1177],[1,4,7,8,9,10,11,
26,35,40,48,58,107,108,109,110,111,115,155,189,190,191,192,208,209,251,260,
269,436,447,452,517,518,519,535,536,567,668,708,828,892,1020,1021,1178],[1,2,
3,4,5,6,8,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,34,46,47,48,49,50,51,52,53,58,61,62,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
104,105,106,109,143,144,145,148,149,150,151,152,153,154,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,183,185,
191,195,196,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,248,267,269,270,271,341,342,343,348,349,350,351,352,353,354,355,
356,357,358,359,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,
376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,
395,396,397,398,403,404,405,406,409,410,411,426,455,456,457,458,459,460,461,
462,463,464,465,466,467,468,469,513,514,515,518,520,521,522,529,583,585,586,
587,588,590,591,592,593,594,595,599,600,601,602,603,605,606,607,608,609,610,
611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,
630,631,632,633,634,635,636,637,638,639,640,644,646,647,713,772,773,774,777,
784,787,793,794,795,796,832,833,834,836,837,838,839,842,843,844,845,846,847,
848,849,850,851,852,853,854,855,856,862,973,976,977,978,991,995,996,997,998,
999,1022,1024,1090,1091,1092,1100,1101,1103,1104,1179],[1,2,3,4,5,6,7,8,9,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,38,39,43,46,
47,48,49,50,51,52,53,54,56,57,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,
83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,121,124,126,127,132,133,134,143,144,145,148,149,150,151,152,153,154,
155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,
174,175,176,177,179,180,189,190,210,211,212,213,214,215,216,217,218,219,220,
221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,
240,241,242,243,244,245,246,247,248,249,250,253,256,257,305,308,309,314,315,
320,325,341,342,343,348,349,350,351,352,353,354,355,356,357,358,359,362,363,
364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,
383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,413,414,
421,422,423,424,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,
471,474,476,480,488,494,495,498,500,517,569,583,585,586,587,588,590,591,592,
593,594,595,599,600,601,602,607,608,609,610,611,612,613,614,615,616,617,618,
619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,641,643,648,
649,650,651,652,653,656,657,713,715,719,720,730,732,744,745,779,780,781,782,
783,832,833,834,836,837,838,839,845,846,847,848,849,850,851,852,857,858,859,
861,863,864,865,866,944,980,981,982,983,984,985,986,987,988,1022,1025,1093,
1094,1095,1096,1097,1098,1099,1180],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,38,39,43,46,47,48,49,50,54,67,
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,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,121,124,126,127,132,133,134,
144,148,149,152,155,156,157,158,159,183,184,189,190,199,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,
234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,253,305,
308,309,314,315,320,325,352,354,355,361,362,363,370,373,403,404,405,406,407,
413,421,422,423,433,455,456,457,458,459,460,461,462,463,464,465,466,467,468,
469,474,503,517,569,599,603,605,606,635,636,637,638,639,640,641,642,648,649,
650,651,652,653,713,727,756,759,779,780,781,842,843,844,853,854,855,856,857,
858,859,860,863,864,865,866,954,980,1001,1024,1025,1105,1106,1107,1181],[1,2,
3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,33,34,38,39,43,58,59,61,62,63,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,
81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,
105,106,108,121,124,126,127,132,133,134,187,188,189,191,192,193,194,195,196,
197,198,201,202,203,210,211,212,213,214,215,216,217,218,219,220,221,222,223,
224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,
243,244,245,246,247,248,261,263,265,305,308,309,314,315,320,325,344,413,415,
416,418,419,420,421,422,425,426,427,428,429,430,431,432,434,455,456,457,458,
459,460,461,462,463,464,465,466,467,468,469,505,509,535,569,589,596,597,641,
648,649,650,651,652,653,654,655,658,659,660,661,662,663,713,718,767,768,804,
805,806,835,840,841,857,858,859,863,864,865,866,867,868,869,870,871,951,1005,
1006,1023,1025,1110,1111,1112,1182],[1,3,4,5,10,19,21,24,35,36,37,58,61,62,93,
113,114,115,116,117,118,119,188,195,209,282,284,286,290,415,435,452,453,454,
547,664,665,666,701,704,706,873,919,927,1113,1183],[1,3,4,5,8,17,19,20,35,36,
37,48,49,50,83,113,114,115,116,117,118,119,157,183,208,281,282,283,290,404,
435,447,448,449,542,664,665,666,687,699,707,873,913,929,1114,1184],[1,3,8,17,
21,23,35,36,37,49,51,84,113,118,164,183,208,281,284,285,299,405,435,448,450,
543,665,691,699,707,875,914,931,1114,1185],[1,3,5,8,17,24,25,35,36,37,49,50,
53,85,113,116,118,165,183,208,281,286,287,300,406,435,448,449,451,544,665,692,
699,707,876,915,932,1114,1186],[1,2,4,7,13,26,27,35,36,37,38,40,41,74,112,114,
115,122,189,207,278,288,289,294,421,435,440,441,442,537,664,675,702,708,872,
922,933,1115,1187],[1,3,4,5,7,19,26,28,35,36,37,39,40,42,89,113,114,115,116,
117,118,119,128,189,207,282,288,290,291,413,435,441,443,444,553,664,665,666,
678,702,708,873,923,934,1115,1188],[1,4,6,7,26,29,30,35,36,37,40,43,44,103,
114,115,120,139,189,207,288,292,293,295,422,435,441,445,446,554,664,679,702,
708,874,924,935,1115,1189],[1,3,4,5,10,17,19,20,21,23,24,25,26,28,31,34,58,61,
62,66,83,84,85,89,91,93,95,96,98,100,101,102,185,188,191,195,196,205,227,229,
230,237,239,243,245,304,409,410,411,415,418,420,426,437,466,564,644,646,647,
655,659,661,825,862,868,1011,1116,1190],[1,3,4,5,8,10,19,23,25,27,30,35,48,49,
50,58,61,62,90,95,99,109,113,115,116,156,157,159,194,195,198,208,209,242,269,
270,271,282,285,287,294,295,373,431,447,448,449,452,453,454,520,521,524,526,
527,545,548,550,567,686,687,688,703,704,705,787,789,790,815,828,829,830,900,
925,994,1012,1013,1014,1015,1016,1117,1118,1119,1191],[1,3,4,5,8,10,17,19,20,
27,30,35,48,51,53,58,83,97,99,109,113,115,116,156,159,160,163,168,170,183,185,
208,209,231,269,281,282,283,294,295,374,382,385,404,409,447,450,451,452,520,
529,542,549,550,567,619,640,686,688,689,690,694,695,699,700,793,813,828,901,
905,906,913,916,995,1012,1017,1049,1057,1120,1192],[1,3,4,5,8,10,17,19,20,21,
23,24,25,35,48,49,50,51,53,58,61,62,83,84,85,93,95,100,101,109,113,115,116,
157,160,164,165,166,168,170,171,172,183,185,195,208,209,229,269,270,271,281,
282,283,284,285,286,287,376,382,386,391,393,394,396,404,405,406,409,410,411,
447,448,449,450,451,452,453,454,521,529,542,543,544,547,548,551,552,567,623,
638,646,687,689,691,692,693,694,695,696,697,699,700,704,793,795,796,812,828,
829,830,902,905,907,909,910,911,912,913,914,915,916,917,918,997,1013,1017,
1051,1056,1058,1120,1121,1122,1193],[1,3,4,5,8,10,17,19,20,27,32,35,48,51,53,
58,83,90,92,109,113,115,116,156,159,160,168,170,176,183,185,208,209,228,269,
281,282,283,294,296,381,382,387,404,409,447,450,451,452,520,529,542,545,546,
567,631,637,686,688,689,694,695,698,699,700,793,811,828,904,905,908,913,916,
999,1012,1017,1053,1055,1120,1194],[1,3,4,5,6,7,10,11,18,19,21,22,24,29,33,37,
39,40,42,43,44,58,59,60,61,62,63,64,65,86,87,88,93,94,108,114,118,119,127,128,
131,132,133,136,137,139,141,187,188,193,195,197,202,203,204,207,234,260,261,
262,263,264,265,266,290,298,323,325,327,328,329,337,338,415,416,419,429,441,
443,444,505,506,507,508,509,510,511,512,557,581,660,678,682,683,706,765,768,
770,771,896,926,927,970,1018,1065,1123,1124,1125,1195],[1,3,4,5,7,10,11,19,21,
24,26,28,34,37,39,58,61,62,89,93,96,108,114,118,119,132,187,188,189,191,192,
195,196,201,207,237,263,288,290,291,413,415,426,443,505,535,553,651,654,655,
702,706,805,923,927,1005,1018,1066,1196],[1,2,3,4,5,7,8,9,12,13,14,17,18,19,
20,37,38,39,40,41,42,45,46,47,48,49,50,54,55,67,68,69,83,86,107,114,118,119,
121,122,123,126,127,128,129,130,131,144,146,148,149,152,157,183,184,207,210,
249,250,251,252,253,254,255,290,298,305,306,307,318,319,323,324,354,403,404,
407,441,443,444,472,474,475,478,479,482,485,503,557,568,635,678,682,683,707,
723,756,757,758,896,928,929,964,1019,1068,1126,1127,1128,1197],[1,2,3,6,7,8,9,
12,15,17,18,21,22,23,37,38,39,43,46,47,49,51,52,54,56,57,67,70,71,79,80,84,87,
107,112,118,120,121,124,126,127,132,133,134,143,148,150,153,164,177,183,184,
207,211,249,250,253,256,257,279,298,299,305,308,309,314,315,320,325,348,361,
403,405,407,440,443,445,471,474,476,480,488,503,540,569,605,676,682,684,707,
719,727,756,759,894,928,930,931,954,1019,1069,1126,1129,1130,1198],[1,2,3,5,6,
7,8,9,12,14,15,16,17,18,22,24,25,37,38,39,41,42,44,45,46,47,49,50,52,53,54,55,
67,72,73,79,82,85,88,107,112,118,120,121,123,125,126,127,135,136,137,138,145,
146,148,149,150,151,154,165,183,184,207,212,249,250,253,254,255,258,259,279,
298,300,305,310,311,321,322,326,327,359,360,361,403,406,407,408,442,443,446,
473,474,477,479,481,489,490,503,541,570,604,606,680,682,685,707,725,756,760,
761,899,928,930,932,965,1019,1070,1126,1131,1132,1199],[1,2,3,4,5,6,7,8,9,13,
15,16,17,19,20,22,29,33,37,38,39,40,41,42,43,44,45,46,48,49,50,52,55,57,76,79,
81,83,94,107,112,114,118,119,120,122,124,125,126,128,130,133,135,137,139,140,
141,144,147,150,151,157,161,183,184,207,223,249,251,253,254,255,257,259,278,
279,280,290,292,312,314,316,318,321,329,335,356,360,361,404,440,441,442,443,
444,445,446,472,476,477,482,484,489,492,503,538,575,603,675,676,677,678,679,
680,681,707,724,727,757,760,893,929,930,953,1019,1073,1127,1129,1131,1200],[1,
3,4,5,7,8,9,17,19,20,21,23,24,25,37,39,40,42,48,49,50,51,53,55,56,83,84,85,93,
95,100,101,107,114,118,119,126,128,130,132,134,136,138,157,160,164,165,166,
178,183,184,207,229,251,253,255,256,258,290,299,300,318,320,322,328,330,334,
336,376,404,405,406,408,441,443,444,482,483,488,490,493,503,559,579,638,678,
684,685,707,734,757,759,761,897,929,931,932,966,1019,1074,1127,1130,1132,
1201],[1,2,3,5,6,7,8,9,12,14,15,16,17,18,22,24,25,37,38,39,41,42,43,45,46,47,
49,50,52,53,55,57,67,72,73,79,82,85,88,107,112,118,120,123,124,126,129,131,
133,136,138,140,145,147,148,149,150,151,154,165,183,184,207,212,249,252,253,
254,255,257,258,279,298,300,313,314,317,319,322,332,338,359,361,403,406,408,
440,443,445,473,475,476,485,487,490,492,503,541,577,606,676,683,685,707,726,
727,758,761,895,928,930,932,955,1019,1070,1128,1129,1132,1202],[1,2,3,6,7,8,9,
12,15,17,18,21,22,23,37,39,41,44,45,46,47,49,51,52,56,67,70,71,79,80,84,87,
107,112,118,120,126,129,131,132,134,135,137,142,143,148,150,153,164,183,184,
207,211,252,253,254,256,259,279,298,299,319,320,321,331,333,337,339,348,360,
361,403,405,442,443,446,485,486,488,489,491,503,540,580,605,680,683,684,707,
739,758,759,760,898,928,930,931,967,1019,1069,1128,1130,1131,1203],[1,3,4,5,7,
8,9,17,19,20,26,28,31,37,39,48,49,50,83,89,91,107,114,118,119,126,155,157,158,
183,184,189,190,199,207,227,253,288,290,291,370,404,413,443,503,517,553,636,
641,642,702,707,781,923,929,1001,1019,1071,1204],[1,2,3,4,5,7,8,9,12,13,14,19,
26,27,28,35,38,39,40,41,42,45,46,48,51,53,56,68,74,75,89,90,107,113,115,116,
121,122,123,128,129,142,143,144,145,155,159,160,162,189,190,208,213,249,251,
254,256,258,282,294,306,342,352,353,371,381,413,414,421,447,450,451,471,472,
473,483,491,517,545,587,648,688,689,708,716,780,782,904,933,934,982,1020,1077,
1133,1136,1205],[1,2,3,4,5,7,8,9,12,13,14,19,26,27,28,35,38,39,40,41,42,45,46,
47,48,49,50,54,55,68,74,75,89,90,107,113,115,116,121,122,123,128,129,144,146,
148,149,152,155,156,157,158,159,189,190,208,213,249,250,251,252,253,254,255,
282,294,306,352,354,355,362,363,370,373,413,421,423,447,448,449,472,474,475,
478,479,482,485,517,545,599,648,686,687,688,708,723,779,780,781,900,933,934,
980,1020,1077,1133,1134,1135,1206],[1,2,3,4,5,6,7,8,9,13,15,16,19,26,27,28,29,
30,35,38,39,40,41,42,43,44,45,46,48,49,50,52,55,57,74,76,77,89,97,103,104,107,
113,115,116,122,124,125,128,135,139,140,144,147,150,151,155,157,158,159,161,
163,189,190,208,221,249,251,253,254,255,257,259,282,294,295,312,352,356,357,
370,372,378,380,413,421,422,424,447,448,449,472,476,477,482,484,489,492,517,
549,600,650,687,688,690,708,724,780,781,783,903,933,934,935,983,1020,1078,
1133,1135,1137,1207],[1,2,3,4,5,6,7,8,9,13,15,16,19,26,27,28,29,30,35,38,39,
40,41,42,43,44,47,48,51,52,53,54,56,57,74,76,77,89,97,103,104,107,113,115,116,
122,124,125,128,135,139,140,152,153,154,155,156,160,161,162,163,177,189,190,
208,221,250,251,252,256,257,258,259,282,294,295,312,362,364,365,371,372,374,
375,413,414,421,422,423,424,447,450,451,478,480,481,483,484,486,487,517,549,
607,650,656,686,689,690,708,728,779,782,783,901,933,934,935,981,1020,1078,
1134,1136,1137,1208],[1,3,4,5,7,8,9,19,21,24,26,28,34,35,39,40,42,48,49,50,51,
53,55,56,89,93,96,107,113,115,116,128,132,136,155,157,158,160,162,164,165,166,
167,178,189,190,208,237,251,253,255,256,258,282,284,286,328,370,371,376,377,
379,413,414,447,448,449,450,451,482,483,488,490,493,517,547,613,651,687,689,
691,692,693,708,734,781,782,902,934,984,1020,1081,1135,1136,1209],[1,3,4,5,7,
8,9,17,19,20,26,28,31,35,39,40,42,48,51,53,56,83,89,91,107,113,115,116,126,
128,130,155,160,162,168,170,175,179,189,190,208,227,251,256,258,281,282,283,
318,371,382,384,413,414,447,450,451,483,494,496,517,542,614,641,643,689,694,
695,708,735,782,905,934,985,1020,1079,1136,1210],[1,3,4,5,6,7,8,9,19,22,26,28,
29,30,33,35,39,40,42,43,44,48,51,52,53,56,57,89,94,99,103,105,107,113,115,116,
128,133,137,139,141,155,160,161,162,163,169,174,180,189,190,208,238,251,256,
257,258,259,282,295,329,371,372,383,385,390,413,414,422,424,447,450,451,483,
484,495,497,502,517,550,615,652,657,689,690,708,736,782,783,906,934,935,986,
1020,1082,1136,1137,1211],[1,3,4,5,7,8,9,19,23,25,26,28,35,39,40,42,48,51,53,
56,89,95,98,107,113,115,116,128,134,138,155,160,162,171,172,181,189,190,208,
239,251,256,258,282,285,287,330,371,386,388,413,414,447,450,451,483,498,499,
517,548,616,653,689,696,697,708,737,782,907,934,987,1020,1083,1136,1212],[1,3,
4,5,7,8,9,18,19,26,28,32,35,39,40,42,48,51,53,56,86,89,92,107,113,115,116,127,
128,131,155,160,162,173,176,182,189,190,208,232,251,256,258,282,296,323,371,
387,389,413,414,447,450,451,483,500,501,517,546,617,649,689,698,708,738,782,
908,934,988,1020,1080,1136,1213],[1,3,4,5,7,8,9,17,19,20,26,28,31,35,39,40,42,
48,83,89,91,107,113,115,116,126,128,130,155,183,184,189,190,199,208,227,251,
281,282,283,318,404,413,447,503,517,542,636,641,642,699,708,757,913,934,1001,
1020,1079,1214],[1,3,4,5,7,10,11,17,19,20,26,28,31,35,39,40,42,58,83,89,91,
108,113,115,116,126,128,130,185,186,189,191,192,200,209,227,260,281,282,283,
318,409,413,452,504,535,542,641,644,645,700,708,762,916,934,1003,1021,1079,
1215],[1,3,4,5,7,10,11,19,21,24,26,28,34,35,39,40,42,58,89,93,96,108,113,115,
116,128,132,136,187,188,189,191,192,201,209,237,260,282,284,286,328,413,415,
452,505,535,547,651,654,655,701,708,765,919,934,1005,1021,1081,1216],[1,3,4,5,
6,7,10,11,19,22,26,28,29,30,33,35,39,40,42,43,44,58,59,60,61,62,63,64,65,89,
94,99,103,105,108,113,115,116,128,133,137,139,141,189,191,192,193,194,195,196,
197,198,202,203,204,209,238,260,261,262,263,264,265,266,282,295,329,413,422,
425,426,427,428,429,430,431,432,452,453,454,506,507,508,509,510,511,512,535,
550,652,663,703,704,705,708,771,804,805,806,925,934,935,1006,1021,1082,1138,
1139,1140,1217],[1,2,3,6,8,10,12,15,17,18,21,22,23,37,46,47,49,59,61,63,67,70,
71,79,80,84,87,109,118,148,183,188,202,211,267,270,272,298,344,361,403,405,
418,419,514,525,526,596,605,706,707,775,926,928,1141,1218],[1,3,4,5,8,10,17,
19,20,21,23,24,25,37,48,49,50,58,61,62,83,84,85,93,95,100,101,109,114,118,119,
157,183,188,195,229,269,270,271,290,404,405,406,415,418,420,521,526,527,638,
659,706,707,789,927,929,1141,1219],[1,4,6,7,26,29,30,35,40,43,44,66,103,115,
139,189,205,206,295,302,422,437,438,439,470,561,562,563,674,708,714,822,823,
935,942,1009,1144,1220],[1,3,10,17,21,23,35,61,66,84,113,185,188,209,281,284,
285,304,410,418,453,470,543,700,701,879,917,920,1011,1221],[1,2,3,4,5,6,7,8,9,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,29,33,38,39,40,41,42,43,44,45,
46,47,48,49,50,51,52,53,54,55,56,57,58,61,62,64,67,68,69,70,71,72,73,76,79,80,
81,82,83,84,85,86,87,88,93,94,95,100,101,107,108,109,110,111,121,122,123,124,
125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,
144,145,146,147,148,149,150,151,152,153,154,157,160,161,164,165,166,168,169,
170,171,172,173,174,177,178,179,180,181,182,183,184,185,186,195,210,211,212,
215,216,219,220,223,224,229,234,249,250,251,252,253,254,255,256,257,258,259,
260,263,264,267,268,269,270,271,273,274,275,305,306,307,308,309,310,311,312,
313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,
332,333,334,335,336,337,338,339,340,341,342,343,346,347,348,349,350,351,354,
356,359,360,361,364,366,367,368,369,376,382,383,386,389,391,392,393,394,395,
396,399,400,401,402,403,404,405,406,407,408,409,410,411,412,436,456,471,472,
473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,
492,493,494,495,496,497,498,499,500,501,502,503,504,507,513,514,515,516,521,
529,530,533,534,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,
583,584,585,586,590,591,594,595,603,604,605,606,609,611,623,624,635,638,646,
667,668,669,670,671,715,716,717,719,720,721,722,723,724,725,726,727,728,729,
730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,
749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,773,777,778,
793,794,795,796,797,798,800,801,802,803,831,833,843,880,881,882,883,885,891,
943,944,945,947,948,949,950,953,954,955,956,957,958,959,960,961,962,963,964,
965,966,967,968,976,977,978,979,996,997,1000,1030,1033,1036,1039,1040,1041,
1042,1043,1086,1088,1091,1146,1147,1148,1149,1150,1151,1152,1222],[1,2,3,4,5,
6,7,8,9,10,11,12,13,14,19,22,23,25,26,27,28,29,30,33,38,39,43,46,47,48,49,50,
54,58,59,61,62,63,65,68,71,73,74,75,89,90,94,95,98,99,103,105,107,108,109,110,
111,121,133,134,144,148,149,152,155,156,157,158,159,189,190,191,192,193,194,
195,196,197,198,202,203,213,216,218,238,239,241,242,249,250,253,261,263,265,
267,269,270,271,272,273,276,309,352,354,355,362,363,370,373,413,421,422,423,
425,426,427,428,429,430,431,432,436,459,474,509,513,514,515,517,518,519,520,
521,522,523,524,525,526,527,528,535,536,599,648,652,653,663,667,670,672,772,
773,774,775,776,779,780,781,784,785,786,787,788,789,790,791,792,804,805,806,
807,864,881,886,887,892,973,974,975,980,989,990,993,994,1006,1031,1044,1045,
1046,1089,1153,1154,1155,1223],[1,2,3,4,5,6,7,8,9,10,11,13,15,16,17,19,20,22,
26,27,28,29,30,31,33,38,39,43,46,47,48,51,52,53,54,56,57,58,74,76,77,79,81,83,
89,91,94,97,99,103,104,105,107,108,109,110,111,124,126,133,144,152,153,154,
155,156,159,160,161,162,163,168,169,170,174,175,177,179,180,183,184,185,186,
189,190,191,192,199,200,221,223,225,227,231,238,244,249,250,256,257,267,269,
273,314,352,361,362,364,365,366,367,371,372,374,375,382,383,384,385,390,399,
404,409,413,414,421,422,423,424,436,462,480,494,495,503,504,513,517,518,519,
520,529,530,531,533,534,535,536,603,607,609,610,614,615,619,620,636,640,641,
642,643,644,645,650,652,656,657,667,727,730,772,777,779,780,782,783,786,793,
800,842,845,858,861,891,892,976,981,985,986,991,992,995,1001,1002,1003,1004,
1033,1044,1090,1094,1106,1108,1156,1224],[1,2,3,4,5,7,8,9,10,11,12,13,14,17,
18,19,20,26,27,28,31,32,38,39,46,47,48,51,53,54,56,58,67,68,69,74,75,78,83,86,
89,90,91,92,107,108,109,110,111,121,126,127,143,144,145,152,155,156,159,160,
162,168,170,173,175,176,179,183,184,185,186,189,190,191,192,199,200,210,213,
214,227,228,232,233,249,250,256,267,269,273,305,341,342,343,352,353,358,362,
371,381,382,384,387,389,403,404,407,409,413,414,421,423,433,436,455,471,494,
500,503,504,513,517,518,519,520,529,530,531,533,534,535,536,583,587,588,614,
617,631,633,635,636,637,641,642,643,644,645,648,649,667,715,756,772,779,780,
782,786,793,794,797,799,832,853,857,860,891,892,982,985,988,991,992,996,999,
1001,1002,1003,1004,1040,1044,1096,1100,1102,1105,1156,1225],[1,3,4,5,7,8,9,
10,11,17,19,20,21,23,24,25,26,28,31,34,39,48,49,50,51,53,56,58,61,62,83,84,85,
89,91,93,95,96,98,100,101,102,107,108,109,110,111,126,132,134,155,157,158,160,
162,164,165,166,167,168,170,171,172,175,179,183,184,185,186,189,190,191,192,
195,196,199,200,227,229,230,237,239,243,245,253,256,263,269,270,271,320,370,
371,376,377,379,382,384,386,388,391,393,394,396,397,404,405,406,409,410,411,
413,414,426,436,466,488,494,498,503,504,517,518,519,521,522,529,530,531,533,
534,535,536,613,614,616,623,625,627,629,636,638,639,641,642,643,644,645,646,
647,651,653,670,744,759,763,781,782,784,793,795,796,805,849,855,859,862,891,
892,984,985,987,991,992,997,998,1001,1002,1003,1004,1041,1045,1098,1101,1107,
1109,1156,1226],[1,2,3,4,5,6,8,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,29,30,31,32,33,34,37,46,47,48,49,50,51,52,53,67,68,69,70,71,72,73,74,75,
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,
101,102,103,104,105,106,112,114,118,119,120,143,144,145,148,149,150,151,152,
153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,183,210,211,212,
213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,
232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,278,279,
280,288,289,290,291,292,293,298,299,300,301,342,348,350,352,353,354,355,356,
357,359,361,362,363,364,365,370,371,372,373,374,375,376,377,378,379,380,381,
403,404,405,406,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,
537,538,539,540,541,553,554,555,556,557,558,559,560,587,590,592,599,600,601,
602,603,605,606,607,608,613,618,635,636,637,638,639,640,707,713,808,809,810,
818,819,820,821,836,842,843,844,853,854,855,856,928,929,930,931,932,1007,1024,
1068,1069,1070,1071,1072,1073,1074,1075,1076,1162,1163,1164,1165,1166,1167,
1168,1227],[1,2,3,4,5,6,7,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,
29,30,31,32,33,34,35,38,39,40,41,42,43,44,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,113,115,116,121,122,123,124,125,126,127,128,129,130,131,132,
133,134,135,136,137,138,139,140,141,189,210,211,212,213,214,215,216,217,218,
219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,
238,239,240,241,242,243,244,245,246,247,248,281,282,283,284,285,286,287,294,
295,296,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,413,
421,422,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,542,543,
544,545,546,547,548,549,550,551,552,568,569,570,571,572,573,574,575,576,577,
578,579,580,581,582,641,648,649,650,651,652,653,708,713,811,812,813,814,815,
816,817,831,857,858,859,863,864,865,866,933,934,935,1008,1025,1077,1078,1079,
1080,1081,1082,1083,1169,1170,1171,1172,1173,1174,1175,1228],[1,3,4,5,7,10,11,
17,19,20,21,23,24,25,39,40,42,58,61,62,64,66,83,84,85,93,95,100,101,108,126,
128,130,132,134,136,138,185,186,187,188,195,205,229,260,263,264,302,303,304,
318,320,322,328,330,334,336,409,410,411,412,415,417,418,420,504,505,507,561,
564,579,646,659,712,762,763,764,765,767,769,939,968,969,1011,1116,1177,1229],[
1,2,4,7,8,9,10,11,13,26,27,35,38,40,41,45,46,47,48,54,58,74,107,108,109,110,
111,115,122,144,152,155,156,159,189,190,191,192,208,209,249,250,251,252,254,
260,267,268,269,273,294,352,362,421,423,436,447,452,472,478,513,517,518,519,
520,535,536,567,667,668,669,686,688,708,772,779,780,786,828,880,892,933,1012,
1020,1021,1044,1133,1134,1178,1230],[1,3,4,5,7,8,9,10,11,19,26,28,35,39,40,42,
48,49,50,55,58,61,62,64,89,107,108,109,110,111,113,115,116,128,155,157,158,
189,190,191,192,195,196,208,209,251,253,255,260,263,264,269,270,271,274,275,
282,370,413,426,436,447,448,449,452,453,454,482,507,517,518,519,521,522,535,
536,567,668,670,671,687,704,708,781,784,805,828,829,830,883,892,934,1013,1020,
1021,1045,1135,1139,1178,1231],[1,4,6,7,8,9,10,11,26,29,30,35,40,43,44,48,58,
59,60,63,65,103,107,108,109,110,111,115,139,155,189,190,191,192,193,194,197,
198,208,209,251,260,261,262,265,266,269,272,276,277,295,422,425,427,428,436,
447,452,506,508,517,518,519,523,524,535,536,567,668,672,673,703,705,708,785,
804,806,807,828,884,892,935,1014,1020,1021,1046,1138,1140,1178,1232],[1,3,7,8,
9,10,11,17,21,23,37,39,49,61,84,107,108,109,110,111,118,126,132,134,183,184,
187,188,207,253,263,270,320,405,418,436,443,503,505,526,670,706,707,759,767,
887,1018,1019,1141,1233],[1,3,4,5,10,19,21,24,30,32,35,36,37,58,61,62,92,93,
99,113,114,115,116,117,118,119,188,194,195,198,209,246,282,284,286,290,295,
296,297,301,415,431,435,452,453,454,546,547,550,558,662,664,665,666,701,703,
704,705,706,816,873,877,878,919,925,927,1027,1061,1067,1113,1183,1234],[1,3,4,
5,8,17,19,20,27,32,35,36,37,48,49,50,83,90,92,113,114,115,116,117,118,119,156,
157,159,183,208,228,281,282,283,290,294,296,297,301,373,404,435,447,448,449,
542,545,546,558,637,664,665,666,686,687,688,699,707,811,873,877,878,900,913,
929,1027,1055,1072,1114,1184,1235],[1,3,4,5,8,17,19,20,21,23,24,25,35,36,37,
48,49,50,51,53,83,84,85,93,95,100,101,113,114,115,116,117,118,119,157,160,164,
165,166,183,208,229,281,282,283,284,285,286,287,290,299,300,376,404,405,406,
435,447,448,449,450,451,542,543,544,547,548,551,552,559,638,664,665,666,687,
689,691,692,693,699,707,812,873,875,876,902,913,914,915,929,931,932,1028,1056,
1074,1114,1184,1185,1186,1236],[1,3,4,5,8,17,19,20,27,30,35,36,37,48,49,50,83,
97,99,113,114,115,116,117,118,119,157,159,163,183,208,231,281,282,283,289,290,
293,294,295,378,404,435,447,448,449,542,549,550,555,640,664,665,666,687,688,
690,699,707,813,872,873,874,903,913,929,1026,1057,1075,1114,1184,1237],[1,2,3,
4,5,6,7,13,15,16,19,26,27,28,29,30,35,36,37,38,39,40,41,42,43,44,74,76,77,89,
97,103,104,112,113,114,115,116,117,118,119,120,122,124,125,128,135,139,140,
189,207,221,278,279,280,282,288,289,290,291,292,293,294,295,312,413,421,422,
435,440,441,442,443,444,445,446,537,538,539,549,553,554,555,556,650,664,665,
666,675,676,677,678,679,680,681,702,708,808,872,873,874,893,922,923,924,933,
934,935,1026,1062,1078,1115,1187,1188,1189,1238],[1,3,4,5,7,18,19,26,28,32,35,
36,37,39,40,42,86,89,92,113,114,115,116,117,118,119,127,128,131,189,207,232,
282,288,290,291,296,297,298,301,323,413,435,441,443,444,546,553,557,558,649,
664,665,666,678,682,683,702,708,818,873,877,878,896,923,934,1027,1063,1080,
1115,1188,1239],[1,3,4,5,7,19,23,25,26,28,35,36,37,39,40,42,89,95,98,113,114,
115,116,117,118,119,128,134,138,189,207,239,282,285,287,288,290,291,299,300,
330,413,435,441,443,444,548,553,559,560,653,664,665,666,678,684,685,702,708,
819,873,875,876,897,923,934,1028,1064,1083,1115,1188,1240],[1,4,7,10,11,26,35,
40,58,66,108,115,189,191,192,205,209,260,302,303,304,437,452,470,535,561,564,
708,712,714,823,824,825,879,939,1021,1029,1085,1144,1241],[1,3,4,5,8,10,17,19,
20,21,23,24,25,27,30,32,35,48,49,50,51,53,58,61,62,83,84,85,90,92,93,95,97,99,
100,101,109,113,115,116,156,157,159,160,163,164,165,166,168,170,171,172,176,
183,185,195,208,209,228,229,231,240,242,246,248,269,270,271,281,282,283,284,
285,286,287,294,295,296,373,374,376,378,381,382,385,386,387,391,393,394,396,
404,405,406,409,410,411,447,448,449,450,451,452,453,454,467,520,521,529,542,
543,544,545,546,547,548,549,550,551,552,567,618,619,621,623,626,631,634,637,
638,640,646,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,704,
787,793,795,796,811,812,813,814,815,816,817,828,829,830,851,856,900,901,902,
903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,995,997,999,
1008,1012,1013,1017,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,
1104,1117,1120,1121,1122,1157,1158,1192,1193,1194,1242],[1,3,4,5,6,7,10,11,18,
19,21,22,24,26,28,29,30,32,33,34,37,39,43,58,59,61,62,63,65,86,87,88,89,92,93,
94,96,99,103,105,106,108,114,118,119,127,132,133,187,188,189,191,192,193,194,
195,196,197,198,201,202,203,207,232,234,235,237,238,246,247,261,263,265,288,
290,291,298,301,325,413,415,416,419,422,425,426,427,428,429,430,431,432,434,
443,468,505,509,535,553,557,558,649,651,652,654,655,660,662,663,682,702,706,
768,804,805,806,818,866,867,869,923,926,927,1005,1006,1018,1063,1065,1066,
1067,1112,1123,1161,1196,1243],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,29,33,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,
56,57,67,68,69,70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,95,100,101,
107,112,114,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,
153,154,157,160,161,164,165,166,177,178,183,184,207,210,211,212,215,216,219,
220,223,224,229,234,249,250,251,252,253,254,255,256,257,258,259,278,279,280,
290,292,298,299,300,305,306,307,308,309,310,311,312,313,314,315,316,317,318,
319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,
338,339,342,346,348,350,354,356,359,360,361,364,376,403,404,405,406,407,408,
440,441,442,443,444,445,446,456,471,472,473,474,475,476,477,478,479,480,481,
482,483,484,485,486,487,488,489,490,491,492,493,503,538,540,541,557,559,568,
569,570,571,572,573,574,575,576,577,578,579,580,581,582,590,603,604,605,606,
635,638,675,676,677,678,679,680,681,682,683,684,685,707,716,719,721,723,724,
725,726,727,728,729,734,739,756,757,758,759,760,761,809,831,843,893,894,895,
896,897,898,899,928,929,930,931,932,947,953,954,955,964,965,966,967,1019,1047,
1068,1069,1070,1073,1074,1088,1126,1127,1128,1129,1130,1131,1132,1163,1197,
1198,1199,1200,1201,1202,1203,1244],[1,2,3,4,5,7,8,9,12,13,14,17,18,19,20,26,
27,28,31,32,37,38,39,46,47,48,49,50,54,67,68,69,74,75,78,83,86,89,90,91,92,
107,114,118,119,121,126,127,144,148,149,152,155,156,157,158,159,183,184,189,
190,199,207,210,213,214,227,228,232,233,249,250,253,288,290,291,298,301,305,
352,354,355,362,363,370,373,403,404,407,413,421,423,433,443,455,474,503,517,
553,557,558,599,635,636,637,641,642,648,649,682,702,707,756,779,780,781,818,
853,857,860,923,928,929,980,1001,1019,1063,1068,1071,1072,1105,1126,1162,1204,
1245],[1,2,3,4,5,6,7,8,9,13,15,16,17,19,20,22,26,27,28,29,30,31,33,37,38,39,
43,46,48,49,50,52,57,74,76,77,79,81,83,89,91,94,97,99,103,104,105,107,112,114,
118,119,120,124,126,133,144,150,151,155,157,158,159,161,163,183,184,189,190,
199,207,221,223,225,227,231,238,244,249,253,257,278,279,280,288,289,290,291,
292,293,314,352,356,357,361,370,372,378,380,404,413,421,422,424,440,443,445,
462,476,503,517,537,538,539,553,554,555,556,600,603,636,640,641,642,650,652,
676,702,707,727,780,781,783,808,842,858,922,923,924,929,930,983,1001,1019,
1062,1071,1073,1075,1106,1129,1165,1204,1246],[1,3,4,5,7,8,9,17,19,20,21,23,
24,25,26,28,31,34,37,39,48,49,50,51,53,56,83,84,85,89,91,93,95,96,98,100,101,
102,107,114,118,119,126,132,134,155,157,158,160,162,164,165,166,167,183,184,
189,190,199,207,227,229,230,237,239,243,245,253,256,288,290,291,299,300,320,
370,371,376,377,379,404,405,406,413,414,443,466,488,503,517,553,559,560,613,
636,638,639,641,642,651,653,684,702,707,759,781,782,819,855,859,923,929,931,
932,984,1001,1019,1064,1071,1074,1076,1107,1130,1166,1204,1247],[1,2,3,4,5,7,
8,9,12,13,14,17,18,19,20,26,27,28,31,32,35,38,39,40,41,42,45,46,48,51,53,56,
67,68,69,74,75,78,83,86,89,90,91,92,107,113,115,116,121,122,123,126,127,128,
129,130,131,142,143,144,145,155,159,160,162,168,170,173,175,176,179,182,189,
190,208,210,213,214,227,228,232,233,249,251,254,256,258,281,282,283,294,296,
305,306,307,318,319,323,324,340,341,342,343,352,353,358,371,381,382,384,387,
389,413,414,421,447,450,451,455,471,472,473,483,491,494,496,500,501,517,542,
545,546,568,583,587,588,614,617,631,633,641,643,648,649,688,689,694,695,698,
708,715,716,717,735,738,748,750,780,782,811,832,857,904,905,908,933,934,943,
982,985,988,1020,1053,1077,1079,1080,1096,1133,1136,1169,1205,1210,1213,
1248],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,19,21,24,26,27,28,29,30,34,35,38,39,
40,41,42,43,44,58,59,60,68,70,72,74,75,76,77,89,90,93,96,97,103,104,108,113,
115,116,121,122,123,124,125,128,129,132,135,136,139,140,187,188,189,191,192,
193,194,201,209,213,215,217,221,222,237,240,260,261,262,282,284,286,294,295,
306,308,310,312,313,328,331,344,345,413,415,421,422,425,452,458,505,506,535,
545,547,549,571,589,648,650,651,654,655,658,701,703,708,718,765,766,804,814,
835,863,919,933,934,935,946,1005,1021,1059,1077,1078,1081,1110,1138,1170,1216,
1249],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,19,21,24,26,27,28,29,30,34,35,38,39,
40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,68,70,72,74,75,76,77,89,
90,93,96,97,103,104,107,113,115,116,121,122,123,124,125,128,129,132,135,136,
139,140,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,
159,160,161,162,163,164,165,166,167,177,178,189,190,208,213,215,217,221,222,
237,240,249,250,251,252,253,254,255,256,257,258,259,282,284,286,294,295,306,
308,310,312,313,328,331,342,346,348,350,352,353,354,355,356,357,359,362,363,
364,365,370,371,372,373,374,375,376,377,378,379,380,381,413,414,421,422,423,
424,447,448,449,450,451,458,471,472,473,474,475,476,477,478,479,480,481,482,
483,484,485,486,487,488,489,490,491,492,493,517,545,547,549,571,587,590,592,
599,600,601,602,607,608,613,618,648,650,651,656,686,687,688,689,690,691,692,
693,708,716,719,721,723,724,725,726,728,729,734,739,779,780,781,782,783,814,
836,863,900,901,902,903,904,933,934,935,947,980,981,982,983,984,1020,1048,
1077,1078,1081,1093,1133,1134,1135,1136,1137,1170,1205,1206,1207,1208,1209,
1250],[1,2,3,4,5,6,7,8,9,12,13,14,19,22,23,25,26,27,28,29,30,33,35,38,39,40,
41,42,43,44,45,46,48,51,52,53,56,57,68,71,73,74,75,89,90,94,95,98,99,103,105,
107,113,115,116,121,122,123,128,129,133,134,137,138,139,141,142,143,144,145,
155,159,160,161,162,163,169,171,172,174,180,181,189,190,208,213,216,218,238,
239,241,242,249,251,254,256,257,258,259,282,285,287,294,295,306,309,311,329,
330,332,333,342,347,349,351,352,353,371,372,381,383,385,386,388,390,413,414,
421,422,424,447,450,451,459,471,472,473,483,484,491,495,497,498,499,502,517,
545,548,550,572,587,591,593,615,616,632,634,648,652,653,657,688,689,690,696,
697,708,716,720,722,736,737,749,751,780,782,783,815,837,864,904,906,907,933,
934,935,948,982,986,987,1020,1054,1077,1082,1083,1097,1133,1136,1137,1171,
1205,1211,1212,1251],[1,2,3,4,5,6,7,8,9,13,15,16,17,19,20,22,26,27,28,29,30,
31,33,35,38,39,40,41,42,43,44,45,46,48,74,76,77,79,81,83,89,91,94,97,99,103,
104,105,107,113,115,116,122,124,125,126,128,130,133,135,137,139,140,141,144,
155,159,183,184,189,190,199,208,221,223,225,227,231,238,244,249,251,254,281,
282,283,294,295,312,314,316,318,321,329,335,352,360,361,404,413,421,422,447,
462,472,503,517,542,549,550,575,603,636,640,641,642,650,652,688,699,708,727,
757,760,780,813,842,858,913,933,934,935,953,1001,1020,1057,1078,1079,1082,
1106,1133,1172,1214,1252],[1,2,3,4,5,6,7,8,9,13,15,16,17,19,20,22,26,27,28,29,
30,31,33,35,38,39,40,41,42,43,44,47,48,51,52,53,54,56,57,74,76,77,79,81,83,89,
91,94,97,99,103,104,105,107,113,115,116,122,124,125,126,128,130,133,135,137,
139,140,141,152,153,154,155,156,160,161,162,163,168,169,170,174,175,177,179,
180,189,190,208,221,223,225,227,231,238,244,250,251,252,256,257,258,259,281,
282,283,294,295,312,314,316,318,321,329,335,362,364,365,366,367,371,372,374,
375,382,383,384,385,390,399,413,414,421,422,423,424,447,450,451,462,478,480,
481,483,484,486,487,494,495,496,497,502,517,542,549,550,575,607,609,610,614,
615,619,620,641,643,650,652,656,657,686,689,690,694,695,708,728,730,731,735,
736,740,741,779,782,783,813,845,858,861,901,905,906,933,934,935,956,981,985,
986,1020,1049,1078,1079,1082,1094,1134,1136,1137,1172,1208,1210,1211,1253],[1,
2,3,4,5,6,7,8,9,13,15,16,18,19,23,25,26,27,28,29,30,32,35,38,39,40,41,42,43,
44,47,48,51,52,53,54,56,57,74,76,77,80,82,86,89,92,95,97,98,103,104,107,113,
115,116,122,124,125,127,128,131,134,135,138,139,140,152,153,154,155,156,160,
161,162,163,171,172,173,176,177,181,182,189,190,208,221,224,226,232,236,239,
248,250,251,252,256,257,258,259,282,285,287,294,295,296,312,315,317,323,326,
330,339,362,364,365,368,369,371,372,374,375,386,387,388,389,400,413,414,421,
422,423,424,447,450,451,463,478,480,481,483,484,486,487,498,499,500,501,517,
546,548,549,576,607,611,612,616,617,621,622,649,650,653,656,686,689,690,696,
697,698,708,728,732,733,737,738,742,743,779,782,783,817,846,865,901,907,908,
933,934,935,957,981,987,988,1020,1050,1078,1080,1083,1095,1134,1136,1137,1173,
1208,1212,1213,1254],[1,3,4,5,7,8,9,17,19,20,21,23,24,25,26,28,31,34,35,39,40,
42,48,49,50,51,53,55,56,83,84,85,89,91,93,95,96,98,100,101,102,107,113,115,
116,126,128,130,132,134,136,138,155,157,158,160,162,164,165,166,167,168,170,
171,172,175,178,179,181,189,190,208,227,229,230,237,239,243,245,251,253,255,
256,258,281,282,283,284,285,286,287,318,320,322,328,330,334,336,370,371,376,
377,379,382,384,386,388,391,393,394,396,397,401,413,414,447,448,449,450,451,
466,482,483,488,490,493,494,496,498,499,517,542,543,544,547,548,551,552,579,
613,614,616,623,625,627,629,641,643,651,653,687,689,691,692,693,694,695,696,
697,708,734,735,737,744,746,752,754,781,782,812,849,859,902,905,907,909,910,
911,912,934,960,984,985,987,1020,1051,1079,1081,1083,1098,1135,1136,1174,1209,
1210,1212,1255],[1,3,4,5,6,7,8,9,18,19,21,22,24,26,28,29,30,32,33,34,35,39,40,
42,43,44,48,49,50,51,52,53,55,56,57,86,87,88,89,92,93,94,96,99,103,105,106,
107,113,115,116,127,128,131,132,133,136,137,139,141,155,157,158,160,161,162,
163,164,165,166,167,169,173,174,176,178,180,182,189,190,208,232,234,235,237,
238,246,247,251,253,255,256,257,258,259,282,284,286,295,296,323,325,327,328,
329,337,338,370,371,372,376,377,379,383,385,387,389,390,392,395,398,402,413,
414,422,424,447,448,449,450,451,468,482,483,484,488,490,493,495,497,500,501,
502,517,546,547,550,581,613,615,617,624,626,628,630,649,651,652,657,687,689,
690,691,692,693,698,708,734,736,738,745,747,753,755,781,782,783,816,850,866,
902,906,908,934,935,961,984,986,988,1020,1052,1080,1081,1082,1099,1135,1136,
1137,1175,1209,1211,1213,1256],[1,2,3,4,5,7,8,9,12,13,14,17,18,19,20,26,27,28,
31,32,35,38,39,40,41,42,47,48,54,67,68,69,74,75,78,83,86,89,90,91,92,107,113,
115,116,121,122,123,126,127,128,129,130,131,152,155,156,183,184,189,190,199,
208,210,213,214,227,228,232,233,250,251,252,281,282,283,294,296,305,306,307,
318,319,323,324,362,403,404,407,413,421,423,433,447,455,478,503,517,542,545,
546,568,635,636,637,641,642,648,649,686,699,708,756,757,758,779,811,853,857,
860,913,933,934,964,1001,1020,1055,1077,1079,1080,1105,1134,1169,1214,1257],[
1,3,4,5,7,8,9,17,19,20,21,23,24,25,26,28,31,34,35,39,40,42,48,49,50,55,83,84,
85,89,91,93,95,96,98,100,101,102,107,113,115,116,126,128,130,132,134,136,138,
155,157,158,183,184,189,190,199,208,227,229,230,237,239,243,245,251,253,255,
281,282,283,284,285,286,287,318,320,322,328,330,334,336,370,404,405,406,408,
413,447,448,449,466,482,503,517,542,543,544,547,548,551,552,579,636,638,639,
641,642,651,653,687,699,708,757,759,761,781,812,855,859,913,914,915,934,966,
1001,1020,1056,1079,1081,1083,1107,1135,1174,1214,1258],[1,3,4,5,7,10,11,17,
19,20,21,23,24,25,26,28,31,34,35,39,40,42,58,61,62,64,83,84,85,89,91,93,95,96,
98,100,101,102,108,113,115,116,126,128,130,132,134,136,138,185,186,189,191,
192,195,196,200,209,227,229,230,237,239,243,245,260,263,264,281,282,283,284,
285,286,287,318,320,322,328,330,334,336,409,410,411,412,413,426,452,453,454,
466,504,507,535,542,543,544,547,548,551,552,579,641,644,645,646,647,651,653,
700,704,708,762,763,764,805,812,859,862,916,917,918,934,968,1003,1021,1058,
1079,1081,1083,1109,1139,1174,1215,1259],[1,3,4,5,7,10,11,17,19,20,21,23,24,
25,26,28,31,34,35,39,40,42,58,61,62,64,83,84,85,89,91,93,95,96,98,100,101,102,
108,113,115,116,126,128,130,132,134,136,138,187,188,189,191,192,195,196,201,
209,227,229,230,237,239,243,245,260,263,264,281,282,283,284,285,286,287,318,
320,322,328,330,334,336,413,415,417,418,420,426,452,453,454,466,505,507,535,
542,543,544,547,548,551,552,579,641,651,653,654,655,659,661,701,704,708,765,
767,769,805,812,859,868,919,920,921,934,969,1005,1021,1060,1079,1081,1083,
1111,1139,1174,1216,1260],[1,3,4,5,6,7,10,11,18,19,21,22,24,26,28,29,30,32,33,
34,35,39,40,42,43,44,58,63,65,86,87,88,89,92,93,94,96,99,103,105,106,108,113,
115,116,127,128,131,132,133,136,137,139,141,187,188,189,191,192,197,198,201,
209,232,234,235,237,238,246,247,260,265,266,282,284,286,295,296,323,325,327,
328,329,337,338,413,415,416,419,422,427,428,434,452,468,505,508,535,546,547,
550,581,649,651,652,654,655,660,662,701,705,708,765,768,770,806,816,866,867,
869,919,934,935,970,1005,1021,1061,1080,1081,1082,1112,1140,1175,1216,1261],[
1,2,3,4,5,6,8,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,29,33,37,46,47,48,
49,50,58,59,61,62,63,67,68,69,70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,
94,95,100,101,109,114,118,119,144,148,149,152,157,183,188,193,195,197,202,203,
210,211,212,215,216,219,220,223,224,229,234,267,269,270,271,272,290,298,344,
354,361,403,404,405,406,415,418,419,420,429,456,513,514,515,521,523,525,526,
527,528,557,589,596,597,603,605,606,635,638,659,660,706,707,773,775,776,788,
789,840,843,926,927,928,929,974,1065,1068,1141,1218,1219,1262],[1,3,4,5,8,10,
17,19,20,21,23,24,25,26,28,31,34,37,48,49,50,58,61,62,83,84,85,89,91,93,95,96,
98,100,101,102,109,114,118,119,155,157,158,183,188,191,195,196,227,229,230,
237,239,243,245,269,270,271,288,290,291,370,404,405,406,415,418,420,426,466,
518,521,522,526,527,553,636,638,639,655,659,661,706,707,784,789,791,855,868,
927,929,990,1066,1071,1141,1219,1263],[1,3,4,5,8,10,17,19,20,21,23,24,25,27,
30,32,37,48,49,50,58,61,62,83,84,85,90,92,93,95,97,99,100,101,109,114,118,119,
156,157,159,183,188,194,195,198,228,229,231,240,242,246,248,269,270,271,290,
301,373,404,405,406,415,418,420,431,467,520,521,524,526,527,558,637,638,640,
658,659,662,706,707,787,789,790,856,870,927,929,994,1067,1072,1141,1219,
1264],[1,3,4,5,10,17,19,20,21,23,24,25,35,58,61,62,66,83,84,85,93,95,100,101,
113,115,116,185,188,195,205,209,229,281,282,283,284,285,286,287,304,409,410,
411,415,418,420,452,453,454,470,542,543,544,547,548,551,552,564,646,659,700,
701,704,714,812,879,916,917,918,919,920,921,1011,1029,1058,1060,1116,1221,
1265],[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,
27,28,29,30,31,32,33,34,38,39,43,46,47,48,49,50,51,52,53,54,56,57,58,61,62,67,
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,
94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,121,124,126,
127,132,133,134,143,144,145,148,149,150,151,152,153,154,155,156,157,158,159,
160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,179,
180,183,184,185,186,189,190,191,192,195,196,199,200,210,211,212,213,214,215,
216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,253,256,257,
263,267,269,270,271,273,305,308,309,314,315,320,325,341,342,343,348,349,350,
351,352,353,354,355,356,357,358,359,361,362,363,364,365,366,367,368,369,370,
371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,
390,391,392,393,394,395,396,397,398,399,403,404,405,406,407,409,410,411,413,
414,421,422,423,424,426,433,436,455,456,457,458,459,460,461,462,463,464,465,
466,467,468,469,471,474,476,480,488,494,495,498,500,503,504,513,514,515,517,
518,519,520,521,522,529,530,531,533,534,535,536,569,583,585,586,587,588,590,
591,592,593,594,595,599,600,601,602,603,605,606,607,608,609,610,611,612,613,
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,
652,653,656,657,667,670,713,715,719,720,727,730,732,744,745,756,759,763,772,
773,774,777,779,780,781,782,783,784,786,787,793,794,795,796,797,799,800,805,
832,833,834,836,837,838,839,842,843,844,845,846,847,848,849,850,851,852,853,
854,855,856,857,858,859,860,861,862,863,864,865,866,881,891,892,944,954,973,
976,977,978,980,981,982,983,984,985,986,987,988,991,992,995,996,997,998,999,
1001,1002,1003,1004,1022,1024,1025,1033,1040,1041,1044,1045,1090,1091,1092,
1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,
1108,1109,1147,1153,1156,1179,1180,1181,1224,1225,1226,1266],[1,3,8,10,17,21,
23,35,36,37,49,61,84,109,113,118,183,188,208,209,270,281,284,285,405,418,435,
448,453,526,543,567,665,699,701,706,707,829,914,920,1015,1113,1114,1141,
1267],[1,3,4,5,7,10,11,17,19,20,21,23,24,25,26,28,31,34,39,58,61,62,66,83,84,
85,89,91,93,95,96,98,100,101,102,108,126,132,134,185,186,187,188,189,191,192,
195,196,200,201,205,227,229,230,237,239,243,245,263,302,303,304,320,409,410,
411,413,415,418,420,426,437,466,504,505,535,564,641,644,645,646,647,651,653,
654,655,659,661,712,763,767,805,823,824,825,859,862,868,1003,1005,1011,1085,
1109,1111,1116,1177,1190,1268],[1,2,3,4,5,7,8,9,10,11,12,13,14,19,26,27,28,35,
38,39,40,41,42,45,46,47,48,49,50,54,55,58,61,62,64,68,74,75,89,90,107,108,109,
110,111,113,115,116,121,122,123,128,129,144,146,148,149,152,155,156,157,158,
159,189,190,191,192,195,196,208,209,213,249,250,251,252,253,254,255,260,263,
264,267,268,269,270,271,273,274,275,282,294,306,352,354,355,362,363,370,373,
413,421,423,426,436,447,448,449,452,453,454,472,474,475,478,479,482,485,507,
513,514,515,516,517,518,519,520,521,522,535,536,545,567,599,648,667,668,669,
670,671,686,687,688,704,708,723,772,773,774,779,780,781,784,786,787,805,828,
829,830,880,881,882,883,885,892,900,933,934,973,980,1012,1013,1020,1021,1030,
1044,1045,1077,1117,1133,1134,1135,1139,1153,1178,1206,1230,1231,1269],[1,3,4,
5,6,7,8,9,10,11,19,22,26,28,29,30,33,35,39,40,42,43,44,48,49,50,55,58,59,60,
61,62,63,64,65,89,94,99,103,105,107,108,109,110,111,113,115,116,128,133,137,
139,141,155,157,158,189,190,191,192,193,194,195,196,197,198,202,203,204,208,
209,238,251,253,255,260,261,262,263,264,265,266,269,270,271,272,274,275,276,
277,282,295,329,370,413,422,425,426,427,428,429,430,431,432,436,447,448,449,
452,453,454,482,506,507,508,509,510,511,512,517,518,519,521,522,523,524,525,
528,532,535,536,550,567,652,663,668,670,671,672,673,687,703,704,705,708,771,
781,784,785,788,790,792,804,805,806,807,828,829,830,883,884,886,888,890,892,
925,934,935,989,1006,1013,1014,1020,1021,1034,1045,1046,1082,1119,1135,1138,
1139,1140,1154,1178,1217,1231,1232,1270],[1,3,4,5,7,8,9,10,11,19,23,25,26,28,
35,39,40,42,48,49,50,55,58,61,62,64,89,95,98,107,108,109,110,111,113,115,116,
128,134,138,155,157,158,189,190,191,192,195,196,208,209,239,251,253,255,260,
263,264,269,270,271,274,275,282,285,287,330,370,413,426,436,447,448,449,452,
453,454,482,507,517,518,519,521,522,526,527,535,536,548,567,653,668,670,671,
687,704,708,781,784,789,791,805,828,829,830,883,887,889,892,934,990,1013,1015,
1016,1020,1021,1035,1045,1083,1118,1135,1139,1155,1178,1231,1271],[1,3,4,5,7,
8,9,10,11,17,19,20,26,28,31,35,39,40,42,48,51,53,56,58,83,89,91,107,108,109,
110,111,113,115,116,126,128,130,155,160,162,168,170,175,179,183,184,185,186,
189,190,191,192,199,200,208,209,227,251,256,258,260,269,281,282,283,318,371,
382,384,404,409,413,414,436,447,450,451,452,483,494,496,503,504,517,518,519,
529,530,531,533,534,535,536,542,567,614,636,641,642,643,644,645,668,689,694,
695,699,700,708,735,757,762,782,793,828,891,892,905,913,916,934,985,991,992,
1001,1002,1003,1004,1017,1020,1021,1036,1079,1120,1136,1156,1178,1210,1214,
1215,1272],[1,2,3,6,7,8,9,10,11,12,15,17,18,21,22,23,37,38,39,43,46,47,49,54,
59,61,63,65,67,70,71,79,80,84,87,107,108,109,110,111,118,121,124,126,127,132,
133,134,148,183,184,187,188,202,207,211,249,250,253,261,263,265,267,270,272,
273,276,298,305,308,309,314,315,320,325,344,361,403,405,407,416,418,419,436,
443,474,503,505,509,514,525,526,569,596,605,667,670,672,682,706,707,718,727,
756,759,767,768,775,881,886,887,926,928,951,954,1018,1019,1031,1123,1126,1141,
1218,1233,1273],[1,3,4,5,7,8,9,10,11,17,19,20,21,23,24,25,37,39,40,42,48,49,
50,55,58,61,62,64,83,84,85,93,95,100,101,107,108,109,110,111,114,118,119,126,
128,130,132,134,136,138,157,183,184,187,188,195,207,229,251,253,255,260,263,
264,269,270,271,274,275,290,318,320,322,328,330,334,336,404,405,406,408,415,
417,418,420,436,441,443,444,482,503,505,507,521,526,527,579,638,659,668,670,
671,678,706,707,757,759,761,765,767,769,789,883,887,889,927,929,966,969,1018,
1019,1035,1124,1127,1141,1219,1233,1274],[1,2,3,6,7,8,9,10,11,12,15,17,18,21,
22,23,37,39,41,44,45,46,47,49,59,60,61,63,67,70,71,79,80,84,87,107,108,109,
110,111,118,126,129,131,132,134,135,137,148,183,184,187,188,202,207,211,252,
253,254,262,263,266,267,268,270,272,277,298,319,320,321,331,333,337,339,344,
345,360,361,403,405,418,419,436,443,485,503,505,511,514,525,526,580,596,605,
669,670,673,683,706,707,758,759,760,766,767,770,775,885,887,888,926,928,967,
971,1018,1019,1038,1125,1128,1141,1218,1233,1275],[1,3,4,5,8,17,19,20,21,23,
24,25,27,30,32,35,36,37,48,49,50,51,53,83,84,85,90,92,93,95,97,99,100,101,113,
114,115,116,117,118,119,156,157,159,160,163,164,165,166,183,208,228,229,231,
240,242,246,248,281,282,283,284,285,286,287,289,290,293,294,295,296,297,299,
300,301,373,374,376,378,381,404,405,406,435,447,448,449,450,451,467,542,543,
544,545,546,547,548,549,550,551,552,555,558,559,618,637,638,640,664,665,666,
686,687,688,689,690,691,692,693,699,707,811,812,813,814,815,816,817,820,856,
872,873,874,875,876,877,878,900,901,902,903,904,913,914,915,929,931,932,1008,
1026,1027,1028,1048,1055,1056,1057,1072,1074,1075,1114,1142,1158,1168,1184,
1185,1186,1235,1236,1237,1276],[1,2,3,4,5,6,7,13,15,16,18,19,23,25,26,27,28,
29,30,32,35,36,37,38,39,40,41,42,43,44,74,76,77,80,82,86,89,92,95,97,98,103,
104,112,113,114,115,116,117,118,119,120,122,124,125,127,128,131,134,135,138,
139,140,189,207,221,224,226,232,236,239,248,278,279,280,282,285,287,288,289,
290,291,292,293,294,295,296,297,298,299,300,301,312,315,317,323,326,330,339,
413,421,422,435,440,441,442,443,444,445,446,463,537,538,539,540,541,546,548,
549,553,554,555,556,557,558,559,560,576,649,650,653,664,665,666,675,676,677,
678,679,680,681,682,683,684,685,702,708,808,809,810,817,818,819,820,821,865,
872,873,874,875,876,877,878,893,894,895,896,897,898,899,922,923,924,933,934,
935,1007,1026,1027,1028,1047,1062,1063,1064,1078,1080,1083,1115,1142,1160,
1173,1187,1188,1189,1238,1239,1240,1277],[1,4,6,7,10,11,26,29,30,35,40,43,44,
58,59,60,66,103,108,115,139,189,191,192,193,194,205,206,209,260,261,262,295,
302,303,304,422,425,437,438,439,452,470,506,535,561,562,563,564,565,566,674,
703,708,712,714,804,822,823,824,825,826,827,879,935,939,940,941,942,1009,1010,
1021,1029,1084,1085,1138,1143,1144,1176,1220,1241,1278],[1,3,8,10,17,21,23,37,
49,51,61,66,84,109,118,164,168,171,183,185,188,270,299,304,391,405,410,418,
526,529,706,707,795,931,1011,1141,1279],[1,2,3,4,5,6,7,8,9,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,38,39,43,46,47,48,49,50,
51,52,53,54,56,57,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,
87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,112,
114,118,119,120,121,124,126,127,132,133,134,143,144,145,148,149,150,151,152,
153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,177,183,184,189,
190,199,207,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,248,249,250,253,256,257,278,279,280,288,289,290,291,292,293,298,
299,300,301,305,308,309,314,315,320,325,342,348,350,352,353,354,355,356,357,
359,361,362,363,364,365,370,371,372,373,374,375,376,377,378,379,380,381,403,
404,405,406,407,413,414,421,422,423,424,433,440,443,445,455,456,457,458,459,
460,461,462,463,464,465,466,467,468,469,471,474,476,480,488,503,517,537,538,
539,540,541,553,554,555,556,557,558,559,560,569,587,590,592,599,600,601,602,
603,605,606,607,608,613,618,635,636,637,638,639,640,641,642,648,649,650,651,
652,653,656,676,682,684,702,707,713,719,727,756,759,779,780,781,782,783,808,
809,810,818,819,820,821,836,842,843,844,853,854,855,856,857,858,859,860,863,
864,865,866,894,922,923,924,928,929,930,931,932,954,980,981,982,983,984,1001,
1007,1019,1024,1025,1062,1063,1064,1068,1069,1070,1071,1072,1073,1074,1075,
1076,1093,1105,1106,1107,1126,1129,1130,1160,1162,1163,1164,1165,1166,1167,
1168,1181,1198,1204,1227,1245,1246,1247,1280],[1,2,3,4,5,6,7,8,9,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,43,
44,45,46,47,48,49,50,51,52,53,54,55,56,57,67,68,69,70,71,72,73,74,75,76,77,78,
79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,
103,104,105,106,107,113,115,116,121,122,123,124,125,126,127,128,129,130,131,
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,
170,171,172,173,174,175,176,177,178,179,180,181,182,189,190,208,210,211,212,
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,
251,252,253,254,255,256,257,258,259,281,282,283,284,285,286,287,294,295,296,
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,
343,346,347,348,349,350,351,352,353,354,355,356,357,358,359,362,363,364,365,
366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,
385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,413,
414,421,422,423,424,447,448,449,450,451,455,456,457,458,459,460,461,462,463,
464,465,466,467,468,469,471,472,473,474,475,476,477,478,479,480,481,482,483,
484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,
517,542,543,544,545,546,547,548,549,550,551,552,568,569,570,571,572,573,574,
575,576,577,578,579,580,581,582,583,584,585,586,587,588,590,591,592,593,594,
595,599,600,601,602,607,608,609,610,611,612,613,614,615,616,617,618,619,620,
621,622,623,624,625,626,627,628,629,630,631,632,633,634,641,643,648,649,650,
651,652,653,656,657,686,687,688,689,690,691,692,693,694,695,696,697,698,708,
713,715,716,717,719,720,721,722,723,724,725,726,728,729,730,731,732,733,734,
735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,
754,755,779,780,781,782,783,811,812,813,814,815,816,817,831,832,833,834,836,
837,838,839,845,846,847,848,849,850,851,852,857,858,859,861,863,864,865,866,
900,901,902,903,904,905,906,907,908,909,910,911,912,933,934,935,943,944,945,
947,948,949,950,956,957,958,959,960,961,962,963,980,981,982,983,984,985,986,
987,988,1008,1020,1022,1025,1048,1049,1050,1051,1052,1053,1054,1077,1078,1079,
1080,1081,1082,1083,1086,1093,1094,1095,1096,1097,1098,1099,1133,1134,1135,
1136,1137,1157,1169,1170,1171,1172,1173,1174,1175,1180,1205,1206,1207,1208,
1209,1210,1211,1212,1213,1228,1248,1250,1251,1253,1254,1255,1256,1281],[1,2,3,
4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,
33,34,35,38,39,40,41,42,43,44,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,
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,
100,101,102,103,104,105,106,108,113,115,116,121,122,123,124,125,126,127,128,
129,130,131,132,133,134,135,136,137,138,139,140,141,187,188,189,191,192,193,
194,195,196,197,198,201,202,203,204,209,210,211,212,213,214,215,216,217,218,
219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,
238,239,240,241,242,243,244,245,246,247,248,260,261,262,263,264,265,266,281,
282,283,284,285,286,287,294,295,296,305,306,307,308,309,310,311,312,313,314,
315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,
334,335,336,337,338,339,344,345,413,415,416,417,418,419,420,421,422,425,426,
427,428,429,430,431,432,434,452,453,454,455,456,457,458,459,460,461,462,463,
464,465,466,467,468,469,505,506,507,508,509,510,511,512,535,542,543,544,545,
546,547,548,549,550,551,552,568,569,570,571,572,573,574,575,576,577,578,579,
580,581,582,589,596,597,598,641,648,649,650,651,652,653,654,655,658,659,660,
661,662,663,701,703,704,705,708,713,718,765,766,767,768,769,770,771,804,805,
806,811,812,813,814,815,816,817,831,835,840,841,857,858,859,863,864,865,866,
867,868,869,870,871,919,920,921,925,933,934,935,946,951,952,969,970,971,972,
1005,1006,1008,1021,1023,1025,1059,1060,1061,1077,1078,1079,1080,1081,1082,
1083,1087,1110,1111,1112,1138,1139,1140,1159,1169,1170,1171,1172,1173,1174,
1175,1182,1216,1217,1228,1249,1260,1261,1282],[1,2,3,4,5,6,7,8,9,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,43,
44,45,46,47,48,49,50,54,55,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,113,115,116,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,
136,137,138,139,140,141,144,146,148,149,152,155,156,157,158,159,183,184,189,
190,199,208,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,
226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,
245,246,247,248,249,250,251,252,253,254,255,281,282,283,284,285,286,287,294,
295,296,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,352,
354,355,360,361,362,363,370,373,403,404,405,406,407,408,413,421,422,423,433,
447,448,449,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,472,
474,475,478,479,482,485,503,517,542,543,544,545,546,547,548,549,550,551,552,
568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,599,603,604,605,
606,635,636,637,638,639,640,641,642,648,649,650,651,652,653,686,687,688,699,
708,713,723,727,756,757,758,759,760,761,779,780,781,811,812,813,814,815,816,
817,831,842,843,844,853,854,855,856,857,858,859,860,863,864,865,866,900,913,
914,915,933,934,935,953,954,955,964,965,966,967,980,1001,1008,1020,1024,1025,
1055,1056,1057,1077,1078,1079,1080,1081,1082,1083,1088,1105,1106,1107,1133,
1134,1135,1158,1169,1170,1171,1172,1173,1174,1175,1181,1206,1214,1228,1252,
1257,1258,1283],[1,2,3,4,5,6,8,10,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,29,30,31,32,33,34,37,46,47,48,49,50,58,59,61,62,63,67,68,69,70,71,72,
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,
99,100,101,102,103,104,105,106,109,114,118,119,144,148,149,152,155,156,157,
158,159,183,188,191,193,194,195,196,197,198,202,203,210,211,212,213,214,215,
216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,
235,236,237,238,239,240,241,242,243,244,245,246,247,248,267,269,270,271,272,
288,290,291,298,301,344,352,354,355,361,362,363,370,373,403,404,405,406,415,
418,419,420,425,426,427,429,430,431,432,455,456,457,458,459,460,461,462,463,
464,465,466,467,468,469,513,514,515,518,520,521,522,523,524,525,526,527,528,
553,557,558,589,596,597,599,603,605,606,635,636,637,638,639,640,655,658,659,
660,661,662,663,706,707,713,772,773,774,775,776,784,785,787,788,789,790,791,
792,818,835,840,841,842,843,844,853,854,855,856,868,869,870,871,926,927,928,
929,973,974,975,989,990,993,994,1023,1024,1065,1066,1067,1068,1071,1072,1089,
1141,1161,1162,1218,1219,1262,1263,1264,1284],[1,3,4,5,8,10,17,19,20,21,23,24,
25,35,36,37,48,49,50,58,61,62,83,84,85,93,95,100,101,109,113,114,115,116,117,
118,119,157,183,188,195,208,209,229,269,270,271,281,282,283,284,285,286,287,
290,404,405,406,415,418,420,435,447,448,449,452,453,454,521,526,527,542,543,
544,547,548,551,552,567,638,659,664,665,666,687,699,701,704,706,707,789,812,
828,829,830,873,913,914,915,919,920,921,927,929,1013,1015,1016,1056,1060,1113,
1114,1118,1141,1183,1184,1219,1267,1285],[1,3,4,5,7,8,9,17,19,20,26,28,31,35,
36,37,39,40,42,48,49,50,55,83,89,91,107,113,114,115,116,117,118,119,126,128,
130,155,157,158,183,184,189,190,199,207,208,227,251,253,255,281,282,283,288,
290,291,318,370,404,413,435,441,443,444,447,448,449,482,503,517,542,553,636,
641,642,664,665,666,678,687,699,702,707,708,709,757,781,873,913,923,929,934,
1001,1019,1020,1071,1079,1114,1115,1127,1135,1184,1188,1204,1214,1286],[1,3,4,
5,7,10,11,19,21,24,26,28,34,35,36,37,39,40,42,58,61,62,64,89,93,96,108,113,
114,115,116,117,118,119,128,132,136,187,188,189,191,192,195,196,201,207,209,
237,260,263,264,282,284,286,288,290,291,328,413,415,426,435,441,443,444,452,
453,454,505,507,535,547,553,651,654,655,664,665,666,678,701,702,704,706,708,
710,711,765,805,873,919,923,927,934,1005,1018,1021,1066,1081,1113,1115,1124,
1139,1183,1188,1196,1216,1287],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,22,23,25,
26,27,28,29,30,33,35,38,39,40,41,42,43,44,45,46,47,48,49,50,54,55,58,59,60,61,
62,63,64,65,68,71,73,74,75,89,90,94,95,98,99,103,105,107,108,109,110,111,113,
115,116,121,122,123,128,129,133,134,137,138,139,141,144,146,148,149,152,155,
156,157,158,159,189,190,191,192,193,194,195,196,197,198,202,203,204,208,209,
213,216,218,238,239,241,242,249,250,251,252,253,254,255,260,261,262,263,264,
265,266,267,268,269,270,271,272,273,274,275,276,277,282,285,287,294,295,306,
309,311,329,330,332,333,352,354,355,362,363,370,373,413,421,422,423,425,426,
427,428,429,430,431,432,436,447,448,449,452,453,454,459,472,474,475,478,479,
482,485,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,
523,524,525,526,527,528,532,535,536,545,548,550,567,572,599,648,652,653,663,
667,668,669,670,671,672,673,686,687,688,703,704,705,708,723,771,772,773,774,
775,776,779,780,781,784,785,786,787,788,789,790,791,792,804,805,806,807,815,
828,829,830,864,880,881,882,883,884,885,886,887,888,889,890,892,900,925,933,
934,935,973,974,975,980,989,990,993,994,1006,1012,1013,1014,1015,1016,1020,
1021,1030,1031,1032,1034,1035,1037,1038,1044,1045,1046,1077,1082,1083,1089,
1117,1118,1119,1133,1134,1135,1138,1139,1140,1145,1153,1154,1155,1171,1178,
1191,1206,1217,1223,1230,1231,1232,1269,1270,1271,1288],[1,2,3,4,5,6,7,8,9,10,
11,13,15,16,17,19,20,22,26,27,28,29,30,31,33,35,38,39,40,41,42,43,44,45,46,47,
48,51,52,53,54,56,57,58,74,76,77,79,81,83,89,91,94,97,99,103,104,105,107,108,
109,110,111,113,115,116,122,124,125,126,128,130,133,135,137,139,140,141,144,
152,153,154,155,156,159,160,161,162,163,168,169,170,174,175,177,179,180,183,
184,185,186,189,190,191,192,199,200,208,209,221,223,225,227,231,238,244,249,
250,251,252,254,256,257,258,259,260,267,268,269,273,281,282,283,294,295,312,
314,316,318,321,329,335,352,360,361,362,364,365,366,367,371,372,374,375,382,
383,384,385,390,399,404,409,413,414,421,422,423,424,436,447,450,451,452,462,
472,478,480,481,483,484,486,487,494,495,496,497,502,503,504,513,517,518,519,
520,529,530,531,533,534,535,536,542,549,550,567,575,603,607,609,610,614,615,
619,620,636,640,641,642,643,644,645,650,652,656,657,667,668,669,686,688,689,
690,694,695,699,700,708,727,728,730,731,735,736,740,741,757,760,762,772,777,
778,779,780,782,783,786,793,800,813,828,842,845,858,861,880,891,892,901,905,
906,913,916,933,934,935,953,956,976,981,985,986,991,992,995,1001,1002,1003,
1004,1012,1017,1020,1021,1033,1036,1039,1044,1049,1057,1078,1079,1082,1090,
1094,1106,1108,1120,1133,1134,1136,1137,1146,1156,1172,1178,1192,1208,1210,
1211,1214,1215,1224,1230,1252,1253,1272,1289],[1,2,3,4,5,7,8,9,10,11,12,13,14,
17,18,19,20,26,27,28,31,32,35,38,39,40,41,42,45,46,47,48,51,53,54,56,58,67,68,
69,74,75,78,83,86,89,90,91,92,107,108,109,110,111,113,115,116,121,122,123,126,
127,128,129,130,131,142,143,144,145,152,155,156,159,160,162,168,170,173,175,
176,179,182,183,184,185,186,189,190,191,192,199,200,208,209,210,213,214,227,
228,232,233,249,250,251,252,254,256,258,260,267,268,269,273,281,282,283,294,
296,305,306,307,318,319,323,324,340,341,342,343,352,353,358,362,371,381,382,
384,387,389,403,404,407,409,413,414,421,423,433,436,447,450,451,452,455,471,
472,473,478,483,491,494,496,500,501,503,504,513,517,518,519,520,529,530,531,
533,534,535,536,542,545,546,567,568,583,587,588,614,617,631,633,635,636,637,
641,642,643,644,645,648,649,667,668,669,686,688,689,694,695,698,699,700,708,
715,716,717,735,738,748,750,756,757,758,762,772,779,780,782,786,793,794,797,
799,801,811,828,832,853,857,860,880,891,892,904,905,908,913,916,933,934,943,
964,982,985,988,991,992,996,999,1001,1002,1003,1004,1012,1017,1020,1021,1036,
1040,1042,1044,1053,1055,1077,1079,1080,1096,1100,1102,1105,1120,1133,1134,
1136,1149,1156,1169,1178,1194,1205,1210,1213,1214,1215,1225,1230,1248,1257,
1272,1290],[1,3,4,5,7,8,9,10,11,17,19,20,21,23,24,25,26,28,31,34,35,39,40,42,
48,49,50,51,53,55,56,58,61,62,64,83,84,85,89,91,93,95,96,98,100,101,102,107,
108,109,110,111,113,115,116,126,128,130,132,134,136,138,155,157,158,160,162,
164,165,166,167,168,170,171,172,175,178,179,181,183,184,185,186,189,190,191,
192,195,196,199,200,208,209,227,229,230,237,239,243,245,251,253,255,256,258,
260,263,264,269,270,271,274,275,281,282,283,284,285,286,287,318,320,322,328,
330,334,336,370,371,376,377,379,382,384,386,388,391,393,394,396,397,401,404,
405,406,408,409,410,411,412,413,414,426,436,447,448,449,450,451,452,453,454,
466,482,483,488,490,493,494,496,498,499,503,504,507,517,518,519,521,522,529,
530,531,533,534,535,536,542,543,544,547,548,551,552,567,579,613,614,616,623,
625,627,629,636,638,639,641,642,643,644,645,646,647,651,653,668,670,671,687,
689,691,692,693,694,695,696,697,699,700,704,708,734,735,737,744,746,752,754,
757,759,761,762,763,764,781,782,784,793,795,796,798,802,803,805,812,828,829,
830,849,855,859,862,883,891,892,902,905,907,909,910,911,912,913,914,915,916,
917,918,934,960,966,968,984,985,987,991,992,997,998,1001,1002,1003,1004,1013,
1017,1020,1021,1036,1041,1043,1045,1051,1056,1058,1079,1081,1083,1098,1101,
1107,1109,1120,1121,1122,1135,1136,1139,1150,1156,1174,1178,1193,1209,1210,
1212,1214,1215,1226,1231,1255,1258,1259,1272,1291],[1,2,3,4,5,6,7,8,9,10,11,
12,13,14,15,16,17,18,19,20,21,22,23,24,25,29,33,37,38,39,40,41,42,43,44,45,46,
47,48,49,50,54,55,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,76,79,80,81,82,
83,84,85,86,87,88,93,94,95,100,101,107,108,109,110,111,114,118,119,121,122,
123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,
144,146,148,149,152,157,183,184,187,188,193,195,197,202,203,204,207,210,211,
212,215,216,219,220,223,224,229,234,249,250,251,252,253,254,255,260,261,262,
263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,290,298,305,306,
307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,
326,327,328,329,330,331,332,333,334,335,336,337,338,339,344,345,354,360,361,
403,404,405,406,407,408,415,416,417,418,419,420,429,436,441,443,444,456,472,
474,475,478,479,482,485,503,505,506,507,508,509,510,511,512,513,514,515,516,
521,523,525,526,527,528,532,557,568,569,570,571,572,573,574,575,576,577,578,
579,580,581,582,589,596,597,598,603,604,605,606,635,638,659,660,667,668,669,
670,671,672,673,678,682,683,706,707,718,723,727,756,757,758,759,760,761,765,
766,767,768,769,770,771,773,775,776,788,789,831,840,843,880,881,882,883,884,
885,886,887,888,889,890,896,926,927,928,929,946,951,952,953,954,955,964,965,
966,967,969,970,971,972,974,1018,1019,1030,1031,1032,1034,1035,1037,1038,1065,
1068,1087,1088,1123,1124,1125,1126,1127,1128,1141,1145,1195,1197,1218,1219,
1233,1262,1273,1274,1275,1292],[1,3,4,5,7,8,9,10,11,17,19,20,21,23,24,25,26,
28,31,34,37,39,48,49,50,58,61,62,83,84,85,89,91,93,95,96,98,100,101,102,107,
108,109,110,111,114,118,119,126,132,134,155,157,158,183,184,187,188,189,190,
191,192,195,196,199,201,207,227,229,230,237,239,243,245,253,263,269,270,271,
288,290,291,320,370,404,405,406,413,415,418,420,426,436,443,466,503,505,517,
518,519,521,522,526,527,535,536,553,636,638,639,641,642,651,653,654,655,659,
661,670,702,706,707,759,767,781,784,789,791,805,855,859,868,887,892,923,927,
929,990,1001,1005,1018,1019,1045,1066,1071,1107,1111,1141,1155,1196,1204,1219,
1233,1263,1293],[1,2,3,6,8,10,12,15,17,18,21,22,23,37,46,47,49,51,52,59,61,63,
66,67,70,71,79,80,84,87,109,112,118,120,143,148,150,153,164,168,169,171,173,
183,185,188,202,206,211,267,270,272,279,298,299,304,341,344,348,349,361,366,
368,391,392,403,405,410,418,419,514,525,526,529,540,566,585,596,605,706,707,
775,777,794,795,926,928,930,931,977,1011,1069,1141,1218,1279,1294],[1,3,4,5,8,
10,17,19,20,21,23,24,25,37,48,49,50,51,53,58,61,62,66,83,84,85,93,95,100,101,
109,114,118,119,157,160,164,165,166,168,170,171,172,183,185,188,195,205,229,
269,270,271,290,299,300,304,376,382,386,391,393,394,396,404,405,406,409,410,
411,415,418,420,521,526,527,529,559,564,623,638,646,659,706,707,789,793,795,
796,927,929,931,932,997,1011,1074,1116,1141,1219,1279,1295],[1,3,4,5,8,10,17,
19,20,21,23,24,25,27,30,32,35,36,37,48,49,50,58,61,62,83,84,85,90,92,93,95,97,
99,100,101,109,113,114,115,116,117,118,119,156,157,159,183,188,194,195,198,
208,209,228,229,231,240,242,246,248,269,270,271,281,282,283,284,285,286,287,
290,294,295,296,297,301,373,404,405,406,415,418,420,431,435,447,448,449,452,
453,454,467,520,521,524,526,527,542,543,544,545,546,547,548,549,550,551,552,
558,567,637,638,640,658,659,662,664,665,666,686,687,688,699,701,703,704,705,
706,707,787,789,790,811,812,813,814,815,816,817,828,829,830,856,870,873,877,
878,900,913,914,915,919,920,921,925,927,929,994,1008,1012,1013,1014,1015,1016,
1027,1055,1056,1057,1059,1060,1061,1067,1072,1113,1114,1117,1118,1119,1141,
1158,1159,1183,1184,1191,1219,1234,1235,1264,1267,1285,1296],[1,2,3,4,5,7,8,9,
12,13,14,17,18,19,20,26,27,28,31,32,35,36,37,38,39,40,41,42,45,46,47,48,49,50,
54,55,67,68,69,74,75,78,83,86,89,90,91,92,107,113,114,115,116,117,118,119,121,
122,123,126,127,128,129,130,131,144,146,148,149,152,155,156,157,158,159,183,
184,189,190,199,207,208,210,213,214,227,228,232,233,249,250,251,252,253,254,
255,281,282,283,288,290,291,294,296,297,298,301,305,306,307,318,319,323,324,
352,354,355,362,363,370,373,403,404,407,413,421,423,433,435,441,443,444,447,
448,449,455,472,474,475,478,479,482,485,503,517,542,545,546,553,557,558,568,
599,635,636,637,641,642,648,649,664,665,666,678,682,683,686,687,688,699,702,
707,708,709,723,756,757,758,779,780,781,811,818,853,857,860,873,877,878,896,
900,913,923,928,929,933,934,936,964,980,1001,1019,1020,1027,1055,1063,1068,
1071,1072,1077,1079,1080,1105,1114,1115,1126,1127,1128,1133,1134,1135,1162,
1169,1184,1188,1197,1204,1206,1214,1235,1239,1245,1257,1286,1297],[1,2,3,4,5,
6,7,8,9,13,15,16,17,19,20,22,26,27,28,29,30,31,33,35,36,37,38,39,40,41,42,43,
44,45,46,48,49,50,52,55,57,74,76,77,79,81,83,89,91,94,97,99,103,104,105,107,
112,113,114,115,116,117,118,119,120,122,124,125,126,128,130,133,135,137,139,
140,141,144,147,150,151,155,157,158,159,161,163,183,184,189,190,199,207,208,
221,223,225,227,231,238,244,249,251,253,254,255,257,259,278,279,280,281,282,
283,288,289,290,291,292,293,294,295,312,314,316,318,321,329,335,352,356,357,
360,361,370,372,378,380,404,413,421,422,424,435,440,441,442,443,444,445,446,
447,448,449,462,472,476,477,482,484,489,492,503,517,537,538,539,542,549,550,
553,554,555,556,575,600,603,636,640,641,642,650,652,664,665,666,675,676,677,
678,679,680,681,687,688,690,699,702,707,708,709,724,727,757,760,780,781,783,
808,813,842,858,872,873,874,893,903,913,922,923,924,929,930,933,934,935,953,
983,1001,1019,1020,1026,1057,1062,1071,1073,1075,1078,1079,1082,1106,1114,
1115,1127,1129,1131,1133,1135,1137,1165,1172,1184,1187,1188,1189,1200,1204,
1207,1214,1237,1238,1246,1252,1286,1298],[1,3,4,5,7,8,9,17,19,20,21,23,24,25,
26,28,31,34,35,36,37,39,40,42,48,49,50,51,53,55,56,83,84,85,89,91,93,95,96,98,
100,101,102,107,113,114,115,116,117,118,119,126,128,130,132,134,136,138,155,
157,158,160,162,164,165,166,167,178,183,184,189,190,199,207,208,227,229,230,
237,239,243,245,251,253,255,256,258,281,282,283,284,285,286,287,288,290,291,
299,300,318,320,322,328,330,334,336,370,371,376,377,379,404,405,406,408,413,
414,435,441,443,444,447,448,449,450,451,466,482,483,488,490,493,503,517,542,
543,544,547,548,551,552,553,559,560,579,613,636,638,639,641,642,651,653,664,
665,666,678,684,685,687,689,691,692,693,699,702,707,708,709,734,757,759,761,
781,782,812,819,855,859,873,875,876,897,902,913,914,915,923,929,931,932,934,
966,984,1001,1019,1020,1028,1056,1064,1071,1074,1076,1079,1081,1083,1107,1114,
1115,1127,1130,1132,1135,1136,1166,1174,1184,1185,1186,1188,1201,1204,1209,
1214,1236,1240,1247,1258,1286,1299],[1,3,4,5,6,7,10,11,18,19,21,22,24,26,28,
29,30,32,33,34,35,36,37,39,40,42,43,44,58,59,60,61,62,63,64,65,86,87,88,89,92,
93,94,96,99,103,105,106,108,113,114,115,116,117,118,119,127,128,131,132,133,
136,137,139,141,187,188,189,191,192,193,194,195,196,197,198,201,202,203,204,
207,209,232,234,235,237,238,246,247,260,261,262,263,264,265,266,282,284,286,
288,290,291,295,296,297,298,301,323,325,327,328,329,337,338,413,415,416,419,
422,425,426,427,428,429,430,431,432,434,435,441,443,444,452,453,454,468,505,
506,507,508,509,510,511,512,535,546,547,550,553,557,558,581,649,651,652,654,
655,660,662,663,664,665,666,678,682,683,701,702,703,704,705,706,708,710,711,
765,768,770,771,804,805,806,816,818,866,867,869,873,877,878,896,919,923,925,
926,927,934,935,937,938,970,1005,1006,1018,1021,1027,1061,1063,1065,1066,1067,
1080,1081,1082,1112,1113,1115,1123,1124,1125,1138,1139,1140,1161,1175,1183,
1188,1195,1196,1216,1217,1234,1239,1243,1261,1287,1300],[1,3,7,8,9,10,11,17,
21,23,37,39,49,51,56,61,66,84,107,108,109,110,111,118,126,132,134,164,168,171,
179,183,184,185,186,187,188,207,253,256,263,270,299,302,303,304,320,391,405,
410,418,436,443,488,494,498,503,504,505,526,529,530,533,534,670,684,706,707,
712,744,759,763,767,795,887,891,931,1011,1018,1019,1041,1130,1141,1177,1233,
1279,1301],[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,
26,27,28,29,30,31,32,33,34,35,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,
54,55,56,57,58,61,62,64,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,
85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,
108,109,110,111,113,115,116,121,122,123,124,125,126,127,128,129,130,131,132,
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,
171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,189,190,191,
192,195,196,199,200,208,209,210,211,212,213,214,215,216,217,218,219,220,221,
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,
260,263,264,267,268,269,270,271,273,274,275,281,282,283,284,285,286,287,294,
295,296,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,
322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,
341,342,343,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,
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,
400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,421,422,423,424,
426,433,436,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,
463,464,465,466,467,468,469,471,472,473,474,475,476,477,478,479,480,481,482,
483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,
502,503,504,507,513,514,515,516,517,518,519,520,521,522,529,530,531,533,534,
535,536,542,543,544,545,546,547,548,549,550,551,552,567,568,569,570,571,572,
573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,590,591,592,
593,594,595,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,
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,
653,656,657,667,668,669,670,671,686,687,688,689,690,691,692,693,694,695,696,
697,698,699,700,704,708,713,715,716,717,719,720,721,722,723,724,725,726,727,
728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,
747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,772,
773,774,777,778,779,780,781,782,783,784,786,787,793,794,795,796,797,798,799,
800,801,802,803,805,811,812,813,814,815,816,817,828,829,830,831,832,833,834,
836,837,838,839,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,
857,858,859,860,861,862,863,864,865,866,880,881,882,883,885,891,892,900,901,
902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,933,934,
935,943,944,945,947,948,949,950,953,954,955,956,957,958,959,960,961,962,963,
964,965,966,967,968,973,976,977,978,979,980,981,982,983,984,985,986,987,988,
991,992,995,996,997,998,999,1000,1001,1002,1003,1004,1008,1012,1013,1017,1020,
1021,1022,1024,1025,1030,1033,1036,1039,1040,1041,1042,1043,1044,1045,1048,
1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1077,1078,1079,1080,1081,
1082,1083,1086,1088,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,
1101,1102,1103,1104,1105,1106,1107,1108,1109,1117,1120,1121,1122,1133,1134,
1135,1136,1137,1139,1146,1147,1148,1149,1150,1151,1152,1153,1156,1157,1158,
1169,1170,1171,1172,1173,1174,1175,1178,1179,1180,1181,1192,1193,1194,1205,
1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1222,1224,1225,1226,1228,
1230,1231,1242,1248,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1266,
1269,1272,1281,1283,1289,1290,1291,1302],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,38,39,43,46,47,48,
49,50,54,58,59,61,62,63,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
107,108,109,110,111,114,118,119,121,124,126,127,132,133,134,144,148,149,152,
155,156,157,158,159,183,184,187,188,189,190,191,192,193,194,195,196,197,198,
199,201,202,203,207,210,211,212,213,214,215,216,217,218,219,220,221,222,223,
224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,
243,244,245,246,247,248,249,250,253,261,263,265,267,269,270,271,272,273,276,
288,290,291,298,301,305,308,309,314,315,320,325,344,352,354,355,361,362,363,
370,373,403,404,405,406,407,413,415,416,418,419,420,421,422,423,425,426,427,
428,429,430,431,432,433,434,436,443,455,456,457,458,459,460,461,462,463,464,
465,466,467,468,469,474,503,505,509,513,514,515,517,518,519,520,521,522,523,
524,525,526,527,528,535,536,553,557,558,569,589,596,597,599,603,605,606,635,
636,637,638,639,640,641,642,648,649,650,651,652,653,654,655,658,659,660,661,
662,663,667,670,672,682,702,706,707,713,718,727,756,759,767,768,772,773,774,
775,776,779,780,781,784,785,786,787,788,789,790,791,792,804,805,806,807,818,
835,840,841,842,843,844,853,854,855,856,857,858,859,860,863,864,865,866,867,
868,869,870,871,881,886,887,892,923,926,927,928,929,951,954,973,974,975,980,
989,990,993,994,1001,1005,1006,1018,1019,1023,1024,1025,1031,1044,1045,1046,
1063,1065,1066,1067,1068,1071,1072,1089,1105,1106,1107,1110,1111,1112,1123,
1126,1141,1153,1154,1155,1161,1162,1181,1182,1196,1204,1218,1219,1223,1233,
1243,1245,1262,1263,1264,1273,1284,1293,1303],[1,2,3,4,5,6,8,10,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,29,33,37,46,47,48,49,50,51,52,53,58,59,61,62,63,
66,67,68,69,70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,95,100,101,109,
112,114,118,119,120,143,144,145,148,149,150,151,152,153,154,157,160,161,164,
165,166,168,169,170,171,172,173,174,183,185,188,193,195,197,202,203,205,206,
210,211,212,215,216,219,220,223,224,229,234,267,269,270,271,272,278,279,280,
290,292,298,299,300,304,341,342,343,344,348,349,350,351,354,356,359,361,364,
366,367,368,369,376,382,383,386,389,391,392,393,394,395,396,403,404,405,406,
409,410,411,415,418,419,420,429,438,456,513,514,515,521,523,525,526,527,528,
529,538,540,541,557,559,564,566,583,585,586,589,590,591,594,595,596,597,603,
605,606,609,611,623,624,635,638,646,659,660,706,707,773,775,776,777,788,789,
793,794,795,796,809,826,833,840,843,926,927,928,929,930,931,932,974,976,977,
978,996,997,1011,1065,1068,1069,1070,1073,1074,1091,1116,1141,1163,1218,1219,
1262,1279,1294,1295,1304],[1,3,4,5,8,10,17,19,20,21,23,24,25,26,28,31,34,37,
48,49,50,51,53,58,61,62,66,83,84,85,89,91,93,95,96,98,100,101,102,109,114,118,
119,155,157,158,160,162,164,165,166,167,168,170,171,172,175,183,185,188,191,
195,196,205,227,229,230,237,239,243,245,269,270,271,288,290,291,299,300,304,
370,371,376,377,379,382,384,386,388,391,393,394,396,397,404,405,406,409,410,
411,415,418,420,426,437,466,518,521,522,526,527,529,553,559,560,564,613,614,
616,623,625,627,629,636,638,639,644,646,647,655,659,661,706,707,784,789,791,
793,795,796,819,825,849,855,862,868,927,929,931,932,990,991,997,998,1011,1066,
1071,1074,1076,1101,1116,1141,1166,1190,1219,1263,1279,1295,1305],[1,3,4,5,8,
10,17,19,20,21,23,24,25,27,30,32,37,48,49,50,51,53,58,61,62,66,83,84,85,90,92,
93,95,97,99,100,101,109,114,118,119,156,157,159,160,163,164,165,166,168,170,
171,172,176,183,185,188,194,195,198,205,228,229,231,240,242,246,248,269,270,
271,289,290,293,299,300,301,304,373,374,376,378,381,382,385,386,387,391,393,
394,396,404,405,406,409,410,411,415,418,420,431,439,467,520,521,524,526,527,
529,555,558,559,564,618,619,621,623,626,631,634,637,638,640,646,658,659,662,
706,707,787,789,790,793,795,796,820,827,851,856,870,927,929,931,932,994,995,
997,999,1011,1067,1072,1074,1075,1104,1116,1141,1168,1219,1264,1279,1295,
1306],[1,3,4,5,7,10,11,17,19,20,21,23,24,25,26,28,31,34,35,39,40,42,58,61,62,
64,66,83,84,85,89,91,93,95,96,98,100,101,102,108,113,115,116,126,128,130,132,
134,136,138,185,186,187,188,189,191,192,195,196,200,201,205,209,227,229,230,
237,239,243,245,260,263,264,281,282,283,284,285,286,287,302,303,304,318,320,
322,328,330,334,336,409,410,411,412,413,415,417,418,420,426,437,452,453,454,
466,470,504,505,507,535,542,543,544,547,548,551,552,561,564,579,641,644,645,
646,647,651,653,654,655,659,661,700,701,704,708,712,714,762,763,764,765,767,
769,805,812,823,824,825,859,862,868,879,916,917,918,919,920,921,934,939,968,
969,1003,1005,1011,1021,1029,1058,1060,1079,1081,1083,1085,1109,1111,1116,
1139,1144,1174,1177,1190,1215,1216,1221,1229,1241,1259,1260,1265,1268,1307],[
1,3,8,10,17,21,23,35,36,37,49,51,61,66,84,109,113,118,164,168,171,183,185,188,
208,209,270,281,284,285,299,304,391,405,410,418,435,448,450,453,470,526,529,
543,567,665,691,694,696,699,700,701,706,707,795,829,875,879,909,914,917,920,
931,1011,1015,1017,1113,1114,1121,1141,1185,1221,1267,1279,1308],[1,2,3,4,5,6,
7,8,9,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,
36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,67,68,69,70,
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,
97,98,99,100,101,102,103,104,105,106,107,112,113,114,115,116,117,118,119,120,
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,
159,160,161,162,163,164,165,166,167,177,178,183,184,189,190,199,207,208,210,
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,
249,250,251,252,253,254,255,256,257,258,259,278,279,280,281,282,283,284,285,
286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,305,306,307,
308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,
327,328,329,330,331,332,333,334,335,336,337,338,339,342,346,348,350,352,353,
354,355,356,357,359,360,361,362,363,364,365,370,371,372,373,374,375,376,377,
378,379,380,381,403,404,405,406,407,408,413,414,421,422,423,424,433,435,440,
441,442,443,444,445,446,447,448,449,450,451,455,456,457,458,459,460,461,462,
463,464,465,466,467,468,469,471,472,473,474,475,476,477,478,479,480,481,482,
483,484,485,486,487,488,489,490,491,492,493,503,517,537,538,539,540,541,542,
543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,568,
569,570,571,572,573,574,575,576,577,578,579,580,581,582,587,590,592,599,600,
601,602,603,604,605,606,607,608,613,618,635,636,637,638,639,640,641,642,648,
649,650,651,652,653,656,664,665,666,675,676,677,678,679,680,681,682,683,684,
685,686,687,688,689,690,691,692,693,699,702,707,708,709,713,716,719,721,723,
724,725,726,727,728,729,734,739,756,757,758,759,760,761,779,780,781,782,783,
808,809,810,811,812,813,814,815,816,817,818,819,820,821,831,836,842,843,844,
853,854,855,856,857,858,859,860,863,864,865,866,872,873,874,875,876,877,878,
893,894,895,896,897,898,899,900,901,902,903,904,913,914,915,922,923,924,928,
929,930,931,932,933,934,935,936,947,953,954,955,964,965,966,967,980,981,982,
983,984,1001,1007,1008,1019,1020,1024,1025,1026,1027,1028,1047,1048,1055,1056,
1057,1062,1063,1064,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,
1079,1080,1081,1082,1083,1088,1093,1105,1106,1107,1114,1115,1126,1127,1128,
1129,1130,1131,1132,1133,1134,1135,1136,1137,1142,1158,1160,1162,1163,1164,
1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1181,1184,1185,1186,
1187,1188,1189,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,
1209,1214,1227,1228,1235,1236,1237,1238,1239,1240,1244,1245,1246,1247,1250,
1252,1257,1258,1276,1277,1280,1283,1286,1297,1298,1299,1309],[1,2,3,6,7,8,9,
10,11,12,15,17,18,21,22,23,37,38,39,43,46,47,49,51,52,54,56,57,59,61,63,65,66,
67,70,71,79,80,84,87,107,108,109,110,111,112,118,120,121,124,126,127,132,133,
134,143,148,150,153,164,168,169,171,173,177,179,180,183,184,185,186,187,188,
202,206,207,211,249,250,253,256,257,261,263,265,267,270,272,273,276,279,298,
299,302,303,304,305,308,309,314,315,320,325,341,344,348,349,361,366,368,391,
392,399,403,405,407,410,416,418,419,436,440,443,445,471,474,476,480,488,494,
495,498,500,503,504,505,509,514,525,526,529,530,533,534,540,562,566,569,585,
596,605,667,670,672,676,682,684,706,707,712,715,718,719,720,727,730,732,744,
745,756,759,763,767,768,775,777,794,795,797,800,881,886,887,891,894,926,928,
930,931,940,944,951,954,977,1011,1018,1019,1031,1033,1040,1041,1069,1123,1126,
1129,1130,1141,1147,1177,1198,1218,1233,1273,1279,1294,1301,1310],[1,3,4,5,7,
8,9,10,11,17,19,20,21,23,24,25,37,39,40,42,48,49,50,51,53,55,56,58,61,62,64,
66,83,84,85,93,95,100,101,107,108,109,110,111,114,118,119,126,128,130,132,134,
136,138,157,160,164,165,166,168,170,171,172,178,179,181,183,184,185,186,187,
188,195,205,207,229,251,253,255,256,258,260,263,264,269,270,271,274,275,290,
299,300,302,303,304,318,320,322,328,330,334,336,376,382,386,391,393,394,396,
401,404,405,406,408,409,410,411,412,415,417,418,420,436,441,443,444,482,483,
488,490,493,494,496,498,499,503,504,505,507,521,526,527,529,530,533,534,559,
561,564,579,623,638,646,659,668,670,671,678,684,685,706,707,712,734,735,737,
744,746,752,754,757,759,761,762,763,764,765,767,769,789,793,795,796,798,802,
803,883,887,889,891,897,927,929,931,932,939,960,966,968,969,997,1011,1018,
1019,1035,1036,1041,1043,1074,1116,1124,1127,1130,1132,1141,1150,1177,1201,
1219,1229,1233,1274,1279,1295,1301,1311],[1,2,3,6,7,8,9,10,11,12,15,17,18,21,
22,23,37,39,41,44,45,46,47,49,51,52,56,59,60,61,63,66,67,70,71,79,80,84,87,
107,108,109,110,111,112,118,120,126,129,131,132,134,135,137,142,143,148,150,
153,164,168,169,171,173,179,182,183,184,185,186,187,188,202,206,207,211,252,
253,254,256,259,262,263,266,267,268,270,272,277,279,298,299,302,303,304,319,
320,321,331,333,337,339,340,341,344,345,348,349,360,361,366,368,391,392,403,
405,410,418,419,436,442,443,446,485,486,488,489,491,494,497,498,501,503,504,
505,511,514,525,526,529,530,533,534,540,563,565,566,580,585,596,605,669,670,
673,680,683,684,706,707,712,739,740,742,744,747,748,751,758,759,760,763,766,
767,770,775,777,778,794,795,801,885,887,888,891,898,926,928,930,931,941,962,
967,971,977,1011,1018,1019,1038,1039,1041,1042,1069,1125,1128,1130,1131,1141,
1152,1177,1203,1218,1233,1275,1279,1294,1301,1312],[1,2,3,4,5,6,8,10,12,13,14,
15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,46,47,48,49,50,
51,52,53,58,59,61,62,63,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,
84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,
109,112,114,118,119,120,143,144,145,148,149,150,151,152,153,154,155,156,157,
158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,
183,185,188,191,193,194,195,196,197,198,202,203,205,206,210,211,212,213,214,
215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,
234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,267,269,270,271,
272,278,279,280,288,289,290,291,292,293,298,299,300,301,304,341,342,343,344,
348,349,350,351,352,353,354,355,356,357,358,359,361,362,363,364,365,366,367,
368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,
387,388,389,390,391,392,393,394,395,396,397,398,403,404,405,406,409,410,411,
415,418,419,420,425,426,427,429,430,431,432,437,438,439,455,456,457,458,459,
460,461,462,463,464,465,466,467,468,469,513,514,515,518,520,521,522,523,524,
525,526,527,528,529,537,538,539,540,541,553,554,555,556,557,558,559,560,564,
566,583,585,586,587,588,589,590,591,592,593,594,595,596,597,599,600,601,602,
603,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,
623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,644,
646,647,655,658,659,660,661,662,663,674,706,707,713,772,773,774,775,776,777,
784,785,787,788,789,790,791,792,793,794,795,796,808,809,810,818,819,820,821,
825,826,827,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,
848,849,850,851,852,853,854,855,856,862,868,869,870,871,926,927,928,929,930,
931,932,973,974,975,976,977,978,989,990,991,993,994,995,996,997,998,999,1007,
1010,1011,1022,1023,1024,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,
1075,1076,1089,1090,1091,1092,1100,1101,1103,1104,1116,1141,1161,1162,1163,
1164,1165,1166,1167,1168,1179,1190,1218,1219,1227,1262,1263,1264,1279,1284,
1294,1295,1304,1305,1306,1313],[1,3,4,5,7,8,9,10,11,17,19,20,21,23,24,25,26,
28,31,34,35,36,37,39,40,42,48,49,50,55,58,61,62,64,83,84,85,89,91,93,95,96,98,
100,101,102,107,108,109,110,111,113,114,115,116,117,118,119,126,128,130,132,
134,136,138,155,157,158,183,184,187,188,189,190,191,192,195,196,199,201,207,
208,209,227,229,230,237,239,243,245,251,253,255,260,263,264,269,270,271,274,
275,281,282,283,284,285,286,287,288,290,291,318,320,322,328,330,334,336,370,
404,405,406,408,413,415,417,418,420,426,435,436,441,443,444,447,448,449,452,
453,454,466,482,503,505,507,517,518,519,521,522,526,527,535,536,542,543,544,
547,548,551,552,553,567,579,636,638,639,641,642,651,653,654,655,659,661,664,
665,666,668,670,671,678,687,699,701,702,704,706,707,708,709,710,711,757,759,
761,765,767,769,781,784,789,791,805,812,828,829,830,855,859,868,873,883,887,
889,892,913,914,915,919,920,921,923,927,929,934,966,969,990,1001,1005,1013,
1015,1016,1018,1019,1020,1021,1035,1045,1056,1060,1066,1071,1079,1081,1083,
1107,1111,1113,1114,1115,1118,1124,1127,1135,1139,1141,1155,1174,1178,1183,
1184,1188,1196,1204,1214,1216,1219,1231,1233,1258,1260,1263,1267,1271,1274,
1285,1286,1287,1293,1314],[1,3,4,5,8,10,17,19,20,21,23,24,25,35,36,37,48,49,
50,51,53,58,61,62,66,83,84,85,93,95,100,101,109,113,114,115,116,117,118,119,
157,160,164,165,166,168,170,171,172,183,185,188,195,205,208,209,229,269,270,
271,281,282,283,284,285,286,287,290,299,300,304,376,382,386,391,393,394,396,
404,405,406,409,410,411,415,418,420,435,447,448,449,450,451,452,453,454,470,
521,526,527,529,542,543,544,547,548,551,552,559,564,567,623,638,646,659,664,
665,666,687,689,691,692,693,694,695,696,697,699,700,701,704,706,707,714,789,
793,795,796,812,828,829,830,873,875,876,879,902,905,907,909,910,911,912,913,
914,915,916,917,918,919,920,921,927,929,931,932,997,1011,1013,1015,1016,1017,
1028,1029,1051,1056,1058,1060,1074,1113,1114,1116,1118,1120,1121,1122,1141,
1183,1184,1185,1186,1193,1219,1221,1236,1265,1267,1279,1285,1295,1308,1315],[
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,29,33,37,38,
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,
65,66,67,68,69,70,71,72,73,76,79,80,81,82,83,84,85,86,87,88,93,94,95,100,101,
107,108,109,110,111,112,114,118,119,120,121,122,123,124,125,126,127,128,129,
130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,
149,150,151,152,153,154,157,160,161,164,165,166,168,169,170,171,172,173,174,
177,178,179,180,181,182,183,184,185,186,187,188,193,195,197,202,203,204,205,
206,207,210,211,212,215,216,219,220,223,224,229,234,249,250,251,252,253,254,
255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,
274,275,276,277,278,279,280,290,292,298,299,300,302,303,304,305,306,307,308,
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,
347,348,349,350,351,354,356,359,360,361,364,366,367,368,369,376,382,383,386,
389,391,392,393,394,395,396,399,400,401,402,403,404,405,406,407,408,409,410,
411,412,415,416,417,418,419,420,429,436,438,440,441,442,443,444,445,446,456,
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,
509,510,511,512,513,514,515,516,521,523,525,526,527,528,529,530,532,533,534,
538,540,541,557,559,561,562,563,564,565,566,568,569,570,571,572,573,574,575,
576,577,578,579,580,581,582,583,584,585,586,589,590,591,594,595,596,597,598,
603,604,605,606,609,611,623,624,635,638,646,659,660,667,668,669,670,671,672,
673,675,676,677,678,679,680,681,682,683,684,685,706,707,712,715,716,717,718,
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,
757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,773,775,776,777,
778,788,789,793,794,795,796,797,798,800,801,802,803,809,822,826,831,833,840,
843,880,881,882,883,884,885,886,887,888,889,890,891,893,894,895,896,897,898,
899,926,927,928,929,930,931,932,939,940,941,943,944,945,946,947,948,949,950,
951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,
970,971,972,974,976,977,978,979,996,997,1000,1011,1018,1019,1030,1031,1032,
1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1047,1065,1068,1069,
1070,1073,1074,1084,1086,1087,1088,1091,1116,1123,1124,1125,1126,1127,1128,
1129,1130,1131,1132,1141,1145,1146,1147,1148,1149,1150,1151,1152,1163,1177,
1195,1197,1198,1199,1200,1201,1202,1203,1218,1219,1222,1229,1233,1244,1262,
1273,1274,1275,1279,1292,1294,1295,1301,1304,1310,1311,1312,1316],[1,3,4,5,7,
8,9,10,11,17,19,20,21,23,24,25,26,28,31,34,37,39,48,49,50,51,53,56,58,61,62,
66,83,84,85,89,91,93,95,96,98,100,101,102,107,108,109,110,111,114,118,119,126,
132,134,155,157,158,160,162,164,165,166,167,168,170,171,172,175,179,183,184,
185,186,187,188,189,190,191,192,195,196,199,200,201,205,207,227,229,230,237,
239,243,245,253,256,263,269,270,271,288,290,291,299,300,302,303,304,320,370,
371,376,377,379,382,384,386,388,391,393,394,396,397,404,405,406,409,410,411,
413,414,415,418,420,426,436,437,443,466,488,494,498,503,504,505,517,518,519,
521,522,526,527,529,530,531,533,534,535,536,553,559,560,564,613,614,616,623,
625,627,629,636,638,639,641,642,643,644,645,646,647,651,653,654,655,659,661,
670,684,702,706,707,712,744,759,763,767,781,782,784,789,791,793,795,796,805,
819,823,824,825,849,855,859,862,868,887,891,892,923,927,929,931,932,984,985,
987,990,991,992,997,998,1001,1002,1003,1004,1005,1011,1018,1019,1041,1045,
1064,1066,1071,1074,1076,1085,1098,1101,1107,1109,1111,1116,1130,1141,1155,
1156,1166,1177,1190,1196,1204,1219,1226,1233,1247,1263,1268,1279,1293,1295,
1301,1305,1317],[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,
50,54,55,58,59,60,61,62,63,64,65,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,
82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,108,109,110,111,113,114,115,116,117,118,119,121,122,123,124,125,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,144,146,148,149,
152,155,156,157,158,159,183,184,187,188,189,190,191,192,193,194,195,196,197,
198,199,201,202,203,204,207,208,209,210,211,212,213,214,215,216,217,218,219,
220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,
239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,260,261,
262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,281,282,283,
284,285,286,287,288,290,291,294,295,296,297,298,301,305,306,307,308,309,310,
311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,
330,331,332,333,334,335,336,337,338,339,344,345,352,354,355,360,361,362,363,
370,373,403,404,405,406,407,408,413,415,416,417,418,419,420,421,422,423,425,
426,427,428,429,430,431,432,433,434,435,436,441,443,444,447,448,449,452,453,
454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,472,474,475,
478,479,482,485,503,505,506,507,508,509,510,511,512,513,514,515,516,517,518,
519,520,521,522,523,524,525,526,527,528,532,535,536,542,543,544,545,546,547,
548,549,550,551,552,553,557,558,567,568,569,570,571,572,573,574,575,576,577,
578,579,580,581,582,589,596,597,598,599,603,604,605,606,635,636,637,638,639,
640,641,642,648,649,650,651,652,653,654,655,658,659,660,661,662,663,664,665,
666,667,668,669,670,671,672,673,678,682,683,686,687,688,699,701,702,703,704,
705,706,707,708,709,710,711,713,718,723,727,756,757,758,759,760,761,765,766,
767,768,769,770,771,772,773,774,775,776,779,780,781,784,785,786,787,788,789,
790,791,792,804,805,806,807,811,812,813,814,815,816,817,818,828,829,830,831,
835,840,841,842,843,844,853,854,855,856,857,858,859,860,863,864,865,866,867,
868,869,870,871,873,877,878,880,881,882,883,884,885,886,887,888,889,890,892,
896,900,913,914,915,919,920,921,923,925,926,927,928,929,933,934,935,936,937,
938,946,951,952,953,954,955,964,965,966,967,969,970,971,972,973,974,975,980,
989,990,993,994,1001,1005,1006,1008,1012,1013,1014,1015,1016,1018,1019,1020,
1021,1023,1024,1025,1027,1030,1031,1032,1034,1035,1037,1038,1044,1045,1046,
1055,1056,1057,1059,1060,1061,1063,1065,1066,1067,1068,1071,1072,1077,1078,
1079,1080,1081,1082,1083,1087,1088,1089,1105,1106,1107,1110,1111,1112,1113,
1114,1115,1117,1118,1119,1123,1124,1125,1126,1127,1128,1133,1134,1135,1138,
1139,1140,1141,1145,1153,1154,1155,1158,1159,1161,1162,1169,1170,1171,1172,
1173,1174,1175,1178,1181,1182,1183,1184,1188,1191,1195,1196,1197,1204,1206,
1214,1216,1217,1218,1219,1223,1228,1230,1231,1232,1233,1234,1235,1239,1243,
1245,1249,1252,1257,1258,1260,1261,1262,1263,1264,1267,1269,1270,1271,1273,
1274,1275,1282,1283,1284,1285,1286,1287,1288,1292,1293,1296,1297,1300,1303,
1314,1318],[1,3,4,5,8,10,17,19,20,21,23,24,25,27,30,32,35,36,37,48,49,50,51,
53,58,61,62,66,83,84,85,90,92,93,95,97,99,100,101,109,113,114,115,116,117,118,
119,156,157,159,160,163,164,165,166,168,170,171,172,176,183,185,188,194,195,
198,205,208,209,228,229,231,240,242,246,248,269,270,271,281,282,283,284,285,
286,287,289,290,293,294,295,296,297,299,300,301,304,373,374,376,378,381,382,
385,386,387,391,393,394,396,404,405,406,409,410,411,415,418,420,431,435,439,
447,448,449,450,451,452,453,454,467,470,520,521,524,526,527,529,542,543,544,
545,546,547,548,549,550,551,552,555,558,559,564,567,618,619,621,623,626,631,
634,637,638,640,646,658,659,662,664,665,666,686,687,688,689,690,691,692,693,
694,695,696,697,698,699,700,701,703,704,705,706,707,714,787,789,790,793,795,
796,811,812,813,814,815,816,817,820,827,828,829,830,851,856,870,872,873,874,
875,876,877,878,879,900,901,902,903,904,905,906,907,908,909,910,911,912,913,
914,915,916,917,918,919,920,921,925,927,929,931,932,942,994,995,997,999,1008,
1011,1012,1013,1014,1015,1016,1017,1026,1027,1028,1029,1048,1049,1050,1051,
1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1067,1072,1074,1075,1104,
1113,1114,1116,1117,1118,1119,1120,1121,1122,1141,1142,1143,1157,1158,1159,
1168,1183,1184,1185,1186,1191,1192,1193,1194,1219,1221,1234,1235,1236,1237,
1242,1264,1265,1267,1276,1279,1285,1295,1296,1306,1308,1315,1319],[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,
33,34,37,38,39,43,46,47,48,49,50,51,52,53,54,56,57,58,59,61,62,63,65,66,67,68,
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,
95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,114,118,
119,120,121,124,126,127,132,133,134,143,144,145,148,149,150,151,152,153,154,
155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,
174,175,176,177,179,180,183,184,185,186,187,188,189,190,191,192,193,194,195,
196,197,198,199,200,201,202,203,205,206,207,210,211,212,213,214,215,216,217,
218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,
237,238,239,240,241,242,243,244,245,246,247,248,249,250,253,256,257,261,263,
265,267,269,270,271,272,273,276,278,279,280,288,289,290,291,292,293,298,299,
300,301,302,303,304,305,308,309,314,315,320,325,341,342,343,344,348,349,350,
351,352,353,354,355,356,357,358,359,361,362,363,364,365,366,367,368,369,370,
371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,
390,391,392,393,394,395,396,397,398,399,403,404,405,406,407,409,410,411,413,
414,415,416,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,
434,436,437,438,439,440,443,445,455,456,457,458,459,460,461,462,463,464,465,
466,467,468,469,471,474,476,480,488,494,495,498,500,503,504,505,509,513,514,
515,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,533,534,535,
536,537,538,539,540,541,553,554,555,556,557,558,559,560,562,564,566,569,583,
585,586,587,588,589,590,591,592,593,594,595,596,597,599,600,601,602,603,605,
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,
663,667,670,672,674,676,682,684,702,706,707,712,713,715,718,719,720,727,730,
732,744,745,756,759,763,767,768,772,773,774,775,776,777,779,780,781,782,783,
784,785,786,787,788,789,790,791,792,793,794,795,796,797,799,800,804,805,806,
807,808,809,810,818,819,820,821,823,824,825,826,827,832,833,834,835,836,837,
838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,
857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,881,886,887,891,
892,894,922,923,924,926,927,928,929,930,931,932,940,944,951,954,973,974,975,
976,977,978,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,
996,997,998,999,1001,1002,1003,1004,1005,1006,1007,1009,1010,1011,1018,1019,
1022,1023,1024,1025,1031,1033,1040,1041,1044,1045,1046,1062,1063,1064,1065,
1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1085,1089,1090,1091,
1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,
1107,1108,1109,1110,1111,1112,1116,1123,1126,1129,1130,1141,1147,1153,1154,
1155,1156,1160,1161,1162,1163,1164,1165,1166,1167,1168,1176,1177,1179,1180,
1181,1182,1190,1196,1198,1204,1218,1219,1223,1224,1225,1226,1227,1233,1243,
1245,1246,1247,1262,1263,1264,1266,1268,1273,1279,1280,1284,1293,1294,1295,
1301,1303,1304,1305,1306,1310,1313,1317,1320],[1,3,4,5,7,8,9,10,11,17,19,20,
21,23,24,25,26,28,31,34,35,36,37,39,40,42,48,49,50,51,53,55,56,58,61,62,64,66,
83,84,85,89,91,93,95,96,98,100,101,102,107,108,109,110,111,113,114,115,116,
117,118,119,126,128,130,132,134,136,138,155,157,158,160,162,164,165,166,167,
168,170,171,172,175,178,179,181,183,184,185,186,187,188,189,190,191,192,195,
196,199,200,201,205,207,208,209,227,229,230,237,239,243,245,251,253,255,256,
258,260,263,264,269,270,271,274,275,281,282,283,284,285,286,287,288,290,291,
299,300,302,303,304,318,320,322,328,330,334,336,370,371,376,377,379,382,384,
386,388,391,393,394,396,397,401,404,405,406,408,409,410,411,412,413,414,415,
417,418,420,426,435,436,437,441,443,444,447,448,449,450,451,452,453,454,466,
470,482,483,488,490,493,494,496,498,499,503,504,505,507,517,518,519,521,522,
526,527,529,530,531,533,534,535,536,542,543,544,547,548,551,552,553,559,560,
561,564,567,579,613,614,616,623,625,627,629,636,638,639,641,642,643,644,645,
646,647,651,653,654,655,659,661,664,665,666,668,670,671,678,684,685,687,689,
691,692,693,694,695,696,697,699,700,701,702,704,706,707,708,709,710,711,712,
714,734,735,737,744,746,752,754,757,759,761,762,763,764,765,767,769,781,782,
784,789,791,793,795,796,798,802,803,805,812,819,823,824,825,828,829,830,849,
855,859,862,868,873,875,876,879,883,887,889,891,892,897,902,905,907,909,910,
911,912,913,914,915,916,917,918,919,920,921,923,927,929,931,932,934,939,960,
966,968,969,984,985,987,990,991,992,997,998,1001,1002,1003,1004,1005,1011,
1013,1015,1016,1017,1018,1019,1020,1021,1028,1029,1035,1036,1041,1043,1045,
1051,1056,1058,1060,1064,1066,1071,1074,1076,1079,1081,1083,1085,1098,1101,
1107,1109,1111,1113,1114,1115,1116,1118,1120,1121,1122,1124,1127,1130,1132,
1135,1136,1139,1141,1144,1150,1155,1156,1166,1174,1177,1178,1183,1184,1185,
1186,1188,1190,1193,1196,1201,1204,1209,1210,1212,1214,1215,1216,1219,1221,
1226,1229,1231,1233,1236,1240,1241,1247,1255,1258,1259,1260,1263,1265,1267,
1268,1271,1272,1274,1279,1285,1286,1287,1291,1293,1295,1299,1301,1305,1307,
1308,1311,1314,1315,1317,1321],[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,
1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,
1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,
1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,
1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,
1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,
1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,
1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,
1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,
1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,
1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,
1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,
1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,
1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,
1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,
1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,
1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322]],
0,
[[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],[1,1,1,1,1],[1,1,1,1,1],[1,3,1],[1,1,1],[1,1,1,1,1],[1,1,2,
1],[1,3,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,1],[1,3,1],[1,1,1],[1,1,2,1],[1,1,
2,1],[1,1,1],[1,3,1],[1,1,1],[1,1,2,1],[1,3,1],[1,1],[1,1],[1,1],[1,3,1,1],[1,
1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[
1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,
1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,3,
1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,1],[1,2,3,1,1,1,1],[1,4,1,1,1,2,2,2,1,
1],[1,2,1,2,1,1,1,1],[1,3,3,1,3,3,1,1],[1,2,1,2,1,1,1,1],[1,3,1,2,1,1,2,1,2,1,
1],[1,2,1,2,1,1,1,1],[1,2,3,1,1,1,1],[1,2,1,2,1,1,1,1],[1,2,1,1,1,2,1,2,2,1,1,
1],[1,2,1,2,1,1,1,1],[1,2,3,1,1,1,1],[1,1,3,3,3,1,3,1],[1,1,1,1,1,1,1,1],[1,1,
1,2,3,1,2,1,1,2,1],[1,1,1,1,1,1,1,1],[1,3,1,3,1,3,3,1],[1,5,1,1,1,1],[1,3,2,1,
1,1,1],[1,1,1,1,2,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,3,3,3,1,3,1],[1,
1,1,1,1,2,1],[1,1,1,5,1,2,2,2,1],[1,1,1,1,1,2,1],[1,3,1,3,3,1,3,1],[1,1,1,1,4,
1,2,2,2,1],[1,1,1,1,1,1,1,1],[1,1,1,5,1,2,2,2,1],[1,1,1,1,1,1,1,1],[1,1,1,1,1,
2,1],[1,1,1,1,1,2,1],[1,3,2,1,1,1,1],[1,1,4,1,1,1,1],[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],[1,1,1,2,1],[1,1,1,
2,1],[1,2,2,1],[1,1,1,2,1],[1,2,1,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,5,1,
1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,5,1,1],[1,6,1,1,3,2,1,1],[1,4,3,
1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,3,1,1,3,1,1,1,1],[
1,3,1,1,3,1],[1,1,1,3,1,1],[1,1,3,3,1,3,1,1,1,1],[1,2,1,1,1,1,2,1],[1,1,6,1,3,
1,2,1],[1,1,1,1,1,1],[1,3,1,1,3,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,1,1,1,1,
1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[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],[1,2,1,1,1,2,1,1],[1,2,1,1,1,2,1,
1],[1,2,1,1,1,2,1,1],[1,2,1,1,1,2,1,1],[1,4,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,
1],[1,4,3,1,3,1,1,1,1],[1,4,3,1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,3,3,1,3,
1,1,1,1],[1,6,1,1,3,2,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,3,1,
1,3,1],[1,1,1,3,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,
1,1,1,1,1,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,7,1,3,
2,1,1],[1,3,4,1,3,1,1,1,1],[1,1,6,1,3,2,1,1],[1,7,1,3,2,1,1],[1,3,1,1,3,1],[1,
1,6,1,3,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,3,1,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,
1,6,1,3,2,1,1],[1,3,1,1,3,1],[1,1,1,1,1,1],[1,3,1,3,1,3,1,1,1,1],[1,1,6,1,3,2,
1,1],[1,3,1,1,3,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,1,1,1,1,1],[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],[1,3,1,1,3,1],[1,3,4,1,1],[1,1,2,1,1,1,2,1],[1,1,1,1,1,1],[1,3,1,3,1,3,1,
1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[1,3,4,1,1],[1,3,4,1,
1],[1,3,4,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,
1,1,1],[1,7,1,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,4,3,1,3,2,2,2,1,2,3,3,2,1,2,
1,1,1],[1,3,5,3,3,5,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,3,3,2,3,1,2,3,2,1,1,3,1,1,1,
1,1,1,1,1,1,1],[1,4,1,3,3,2,2,2,3,1,2,3,1,2,2,1,1,1],[1,4,1,1,5,2,2,2,1,2,2,2,
2,1,4,1,1,1],[1,6,3,1,3,2,6,3,6,6,6,3,1,3,1,3,2,6,3,1,1],[1,4,1,1,1,4,2,2,2,1,
2,1,1,2,2,1,2,2,1,1,1],[1,4,1,1,5,2,2,2,1,2,1,2,1,2,1,2,2,1,1,1],[1,4,1,1,1,2,
2,2,1,2,2,1,1,1,1],[1,3,3,2,3,3,3,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,3,1,4,3,1,
2,1,4,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,2,1,3,3,2,1,2,2,3,1,1,3,1,1,1,1,1,1,1,1,
1,1],[1,2,1,1,5,2,1,2,2,1,2,2,2,1,2,2,1,1,1,2,1],[1,2,3,1,3,6,1,6,6,1,3,3,6,3,
6,3,2,6,1,3,1],[1,2,1,1,1,2,1,2,2,2,1,1,1,1,1,2,2,1,1,1],[1,2,1,1,5,2,1,2,2,1,
2,2,1,2,2,1,2,1,1,2,1],[1,2,1,1,1,2,1,2,2,1,2,1,2,1,1,1,1],[1,3,3,9,1,9,9,1,9,
6,3,3,9,1],[1,3,1,3,1,3,3,2,2,1,1,1,1],[1,5,1,5,1,5,3,1,1,3,1,1,1,1,1,1,1,1,
1],[1,3,1,7,1,3,3,2,2,2,2,1,2,1,1,2,1],[1,3,1,3,1,3,3,1,3,1,3,3,1],[1,1,3,3,2,
3,1,3,2,1,1,1,1],[1,1,1,5,2,1,2,2,2,2,1,1,1,1],[1,3,1,3,4,2,3,1,2,3,2,2,1,2,2,
1,1,1],[1,1,1,5,2,1,2,2,2,2,1,1,1,1],[1,1,1,1,2,1,2,1,1,1,1,1,1],[1,3,3,9,9,1,
9,1,9,6,3,3,9,1],[1,1,3,3,4,3,2,1,3,2,2,2,1,1,1,2,2,1],[1,1,3,3,3,1,3,1,3,1,3,
3,1],[1,3,1,3,3,1,3,3,1,3,1,3,1],[1,1,1,1,4,1,2,2,2,2,2,1,1,1,1],[1,1,1,1,1,1,
1,2,2,1,1,1,1],[1,3,1,7,3,2,1,3,2,2,2,1,1,1,2,2,1],[1,1,1,5,4,1,2,2,1,2,2,1,2,
2,1,1,1,2,2,1],[1,1,1,9,1,2,1,2,1,4,2,2,1,1,1,2,2,1],[1,3,1,3,3,1,3,2,2,1,1,1,
1],[1,1,1,5,4,1,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,3,1,
1,2,1,3,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,2,3,1,1,1],[1,
3,1,1,2,3,1,1,1],[1,1,1,1,2,1,2,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,1,1,1,2,1,1,2,
1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,1,3,1,1],[1,3,1,1,2,3,1,1,1],[1,3,1,1,2,
1,3,1,1],[1,3,1,1,2,1,3,1,1],[1,1,1,1,2,1,1,2,1,1],[1,3,1,1,2,3,1,1,1],[1,9,1,
1,2,3,3,6,1,1],[1,9,1,1,2,3,3,6,1,1],[1,3,1,1,2,3,1,1,1],[1,3,2,2,3,1,1,1],[1,
3,1,1,2,3,1,1,1],[1,1,2,2,2,2,1,1],[1,9,2,2,6,6,1,1],[1,9,2,2,6,6,1,1],[1,3,2,
2,3,1,1,1],[1,3,1,1,2,3,1,1,1],[1,9,1,1,2,3,3,6,1,1],[1,9,2,1,1,6,3,3,1,1],[1,
3,2,1,1,3,1,1,1],[1,3,2,1,1,3,1,1,1],[1,2,1,1,1,2,1,1],[1,1,5,5,5,1,1,1,1,1],[
1,1,5,5,5,1,1,1,1,1],[1,3,1,1,3,1],[1,1,5,5,5,1,1,1,1,1],[1,1,10,5,1,1,2,1],[
1,3,1,1,3,1],[1,1,1,1,1,1],[1,1,10,5,1,1,2,1],[1,1,5,1,1,1],[1,3,1,1,3,1],[1,
1,1,1,1,1],[1,5,1,5,5,1,1,1,1,1],[1,1,10,5,1,1,2,1],[1,1,10,5,1,1,2,1],[1,1,5,
1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[
1,5,5,1,1,1],[1,5,5,1,1,1],[1,5,5,1,1,1],[1,1,1,1],[1,7,1,1],[1,7,1,1],[1,6,3,
1,3,1,3,2,3,3,1,1,1,1],[1,8,1,3,3,1,4,6,6,3,2,1,1,2,1,3,1,2,2,1,1,1],[1,6,1,6,
1,3,1,3,2,1,2,3,1,1,1,1],[1,9,3,3,1,9,9,1,3,3,1,3,3,3,1,1],[1,6,1,6,1,3,3,1,2,
1,2,3,1,1,1,1],[1,7,1,6,1,1,3,6,1,6,3,2,1,1,2,1,3,1,2,2,1,1,1],[1,6,1,2,1,3,1,
3,2,1,2,3,1,1,1,1],[1,4,1,3,3,4,1,3,4,6,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[
1,5,1,6,3,1,1,6,3,6,3,1,1,2,2,1,3,2,1,1,1,2,1],[1,3,3,9,1,9,1,9,1,3,3,3,3,1,3,
1],[1,3,1,3,1,3,3,1,1,1,1,3,1,1,1,1],[1,3,1,6,5,1,3,6,3,1,6,1,1,2,1,2,3,1,2,1,
1,2,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,3,3,9,1,1,9,9,3,1,3,3,1,3,3,1],[1,
2,3,1,1,1,1,3,2,1,1,1,1,1],[1,5,1,1,1,1,5,1,1,1,1,1],[1,1,3,3,1,3,1,3,3,1,3,1,
1,3,3,1],[1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,1,3,3,1,4,3,1,1,1,3,1,1,1,1],[1,2,1,
6,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,6,1,3,1,3,3,2,3,1,1,1,1],[1,1,1,1,1,1,3,3,1,1,
1,3,1,1,1,1],[1,1,6,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,3,3,9,1,9,1,9,3,1,3,3,3,1,3,
1],[1,1,3,3,8,1,3,4,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,3,3,1,3,1,3,1,1,1,3,1,1,
1,1],[1,3,3,1,1,3,3,1,3,3,1,1,3,1,3,1],[1,2,1,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,2,
1,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,3,6,1,3,1,3,3,2,3,1,1,1,1],[1,1,1,6,7,1,1,6,3,
3,6,1,1,2,2,1,3,1,1,1,2,2,1],[1,1,12,1,3,1,3,1,4,3,1,1,1,1],[1,3,2,1,1,1,1,3,
2,1,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,4,1,1,1,1,2,
2,2,1,4,1,1,1,1,2,2,2,1,1],[1,2,1,2,1,1,1,1,2,1,2,1,1,1,1,1],[1,3,3,1,4,3,3,1,
4,1,1,1],[1,3,3,1,4,3,3,1,4,1,1,1],[1,5,1,6,3,1,1,6,3,6,3,2,1,2,1,1,3,1,2,2,1,
1,1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,5,7,3,1,7,9,3,2,1,2,1,1,3,1,2,2,1,1,
1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,5,1,6,3,1,1,6,3,6,3,2,1,2,1,1,3,1,2,2,
1,1,1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,2,1,
2,1,1,1,1,2,1,2,1,1,1,1,1],[1,8,3,1,3,1,6,4,6,3,2,2,1,1,1,3,1,2,2,1,1,1],[1,2,
1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,2,3,1,3,6,1,1,6,6,3,3,2,1,1,1,2,3,1,2,2,1,1,
1],[1,2,1,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,2,3,1,1,1,1,2,3,1,1,1,1,1],[1,5,3,4,3,
1,3,4,3,6,3,2,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,1,3,3,
4,3,1,3,4,1,1,1],[1,6,3,1,3,1,3,2,3,3,1,1,1,1],[1,6,1,6,1,3,1,3,2,1,2,3,1,1,1,
1],[1,6,1,1,1,6,1,3,6,6,1,3,2,1,1,2,1,3,1,2,2,1,1,1],[1,6,1,2,1,3,1,3,2,1,2,3,
1,1,1,1],[1,3,3,9,1,9,1,9,1,3,3,3,3,1,3,1],[1,3,1,2,9,1,3,6,1,3,6,1,1,3,2,3,1,
2,1,1,2,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,
1],[1,3,3,9,1,9,1,9,3,1,3,3,1,3,3,1],[1,1,3,3,1,3,1,3,3,1,3,1,1,3,3,1],[1,3,6,
1,1,3,3,3,2,3,1,1,1,1],[1,3,1,3,1,3,4,1,1,1,3,1,1,1,1],[1,1,1,1,1,1,3,3,1,1,1,
3,1,1,1,1],[1,1,2,6,1,3,1,3,1,2,2,3,1,1,1,1],[1,7,1,7,1,7,3,9,1,2,2,1,1,3,2,1,
1,2,1,1],[1,3,1,11,1,3,6,4,6,1,1,3,2,3,1,1,1,2,2,1],[1,3,1,3,1,3,1,3,1,1,1,3,
1,1,1,1],[1,1,1,13,1,1,6,6,6,1,4,1,1,3,2,1,2,2,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,
1,1,1],[1,1,1,1,1,1,2,1,1,1,1,2,1,1],[1,3,1,3,1,1,3,3,1,3,3,1,3,1,3,1],[1,1,1,
1,12,1,1,6,6,6,1,1,4,1,3,1,2,2,2,1],[1,1,1,5,1,1,2,2,2,1,1,5,1,1,2,2,2,1],[1,
1,1,1,1,1,6,1,1,1,3,1,2,1],[1,1,1,1,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,1,1,1,1,2,1,
1,1,1,1,2,1],[1,1,1,1,1,1,6,1,1,1,3,1,2,1],[1,1,1,1,1,2,1,1,1,1,1,1,2,1],[1,1,
2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,9,1,1,3,3,2,3,3,1,1,1,1],[1,7,6,1,1,3,3,2,1,2,
3,1,1,1,1],[1,7,2,1,1,3,3,2,1,2,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,1,
6,6,1,1,3,3,2,1,2,3,1,1,1,1],[1,1,8,1,1,3,3,2,1,2,3,1,1,1,1],[1,1,8,1,1,3,3,2,
1,2,3,1,1,1,1],[1,7,6,1,1,3,3,2,2,1,3,1,1,1,1],[1,3,3,9,1,9,1,9,1,3,3,3,3,1,3,
1],[1,3,1,3,1,3,1,3,1,1,1,3,1,1,1,1],[1,3,6,1,1,3,3,2,3,3,1,1,1,1],[1,1,6,6,1,
1,3,3,2,1,2,3,1,1,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,9,
4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,
3,4,3,1,1],[1,3,1,3,4,1,3,3,4,1,1,1],[1,9,4,1,3,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,
1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,3,3,4,3,1,3,4,1,1,1],[1,1,3,3,4,3,1,3,4,1,1,
1],[1,3,1,3,4,3,1,3,4,1,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[
1,9,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,6,3,4,
3,1,3,4,3,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,3,6,4,1,3,3,
4,3,1,1],[1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,3,3,9,1,9,1,9,3,1,3,3,1,3,3,1],[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],[1,3,1,3,8,1,3,6,4,6,1,2,1,1,
2,3,1,1,1,2,2,1],[1,1,6,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,3,1,3,1,3,4,1,1,1,3,1,1,
1,1],[1,1,6,6,1,3,3,1,1,2,2,3,1,1,1,1],[1,6,3,4,3,1,3,4,3,1,1],[1,3,6,4,3,3,1,
4,3,1,1],[1,1,4,1,1],[1,1,2,4,2,4,2,2,1,4,4,1],[1,3,1,1,3,1],[1,1,14,7,1,1,2,
1],[1,1,7,1,1,1],[1,3,1,1,1,3,1,1],[1,3,1,1,1,3,1,1],[1,1,1,1,1,1,1,1],[1,5,1,
1,5,1,1,1],[1,15,1,1,5,3,1,1],[1,15,1,1,5,3,1,1],[1,5,1,1,5,1,1,1],[1,5,1,1,5,
1,1,1],[1,3,1,1,1,3,1,1],[1,15,1,1,5,3,1,1],[1,1,1,1,1,1,1,1],[1,5,1,1,5,1,1,
1],[1,5,1,1,5,1,1,1],[1,3,1,1,1,3,1,1],[1,15,1,1,5,3,1,1],[1,4,3,3,9,2,2,2,1,
2,9,9,1,2,9,6,2,2,1,2,2,2,4,3,1,3,1,9,1,1,1,1,1,1,1,1,1],[1,6,5,1,5,6,6,3,6,
10,10,1,2,5,3,1,6,1,3,1,3,6,2,3,2,2,2,6,2,5,2,2,6,2,1,1,1,1,2,2,1,3,1,1,1,1,2,
2,1,1,2,2,1,1,1,1,1],[1,4,3,1,7,2,2,2,1,2,3,3,2,2,1,2,3,2,2,1,2,2,2,1,2,1,1,3,
1,3,2,1,1,1,1,1,1,1,1],[1,6,3,3,9,2,6,3,6,6,6,9,1,9,1,3,9,1,1,6,3,2,6,3,6,3,3,
3,3,3,9,3,1,3,3,1,3,3,3,1,1,1],[1,4,1,3,3,4,2,2,2,3,2,1,3,1,2,3,2,2,2,1,2,2,2,
2,1,1,1,3,3,1,2,2,1,1,1,1,1,1,1,1],[1,6,3,1,7,2,6,3,6,6,6,3,2,1,3,2,2,1,2,2,2,
3,2,6,3,2,4,1,1,1,1,1,2,2,2,1,1,1,1,1,1,1,1],[1,4,1,1,9,4,2,2,2,1,2,2,1,2,1,1,
4,2,1,2,2,2,2,1,2,2,2,2,4,1,1,1,1,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,2,3,3,9,6,
1,6,6,1,9,9,6,1,1,9,3,3,6,6,1,3,3,2,6,3,3,9,3,3,3,3,3,6,3,1,3,1,1,3,3,1],[1,2,
1,3,3,2,1,2,2,2,3,1,3,1,1,3,1,1,2,1,1,1,2,2,1,1,1,3,1,3,1,1,1,1,1,1,1,1,1,1],[
1,2,3,1,7,6,1,6,6,1,3,3,6,2,2,2,2,3,2,6,2,2,3,2,6,1,2,1,1,3,1,1,2,2,4,1,1,1,1,
1,1,1,1],[1,2,1,1,9,2,1,2,2,2,1,2,1,2,1,2,4,1,2,2,2,2,1,2,2,2,1,1,1,1,1,1,2,2,
2,2,1,1,1,1,1,1,1,1],[1,5,3,15,1,15,9,1,1,9,3,1,15,6,6,3,1,3,5,9,3,3,9,3,3,3,
6,1,3,3,1,1,3,3,1],[1,5,1,5,1,5,3,1,1,3,1,3,3,2,1,1,1,3,1,1,1,5,3,1,1,1,1,1,1,
1,1,1,1],[1,3,3,9,4,2,9,1,2,9,1,9,2,2,2,2,6,1,2,2,3,1,3,1,9,1,2,2,4,1,1,1,1,1,
1,1,1],[1,3,1,7,4,2,3,2,1,2,3,2,3,2,2,1,2,2,1,2,2,3,1,1,1,3,1,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,1,1],[1,6,1,1,1,2,3,2,1,6,1,2,1,1,3,2,1,1],[1,4,3,1,1,2,3,1,1,1,
2,4,3,1,1,3,1,1,1,1],[1,4,3,1,1,2,3,1,1,1,2,4,3,1,1,3,1,1,1,1],[1,12,3,1,1,2,
9,4,3,3,3,1,6,1,3,3,1,1,1,1],[1,6,9,1,1,2,9,1,3,3,3,1,3,6,1,3,3,1,1,1,1],[1,3,
3,9,1,1,2,9,1,3,3,3,1,3,6,1,3,3,1,1,1,1],[1,3,9,3,1,1,2,9,1,3,3,3,3,1,6,1,3,3,
1,1,1,1],[1,12,3,1,1,2,9,3,1,3,4,3,6,1,3,3,1,1,1,1],[1,10,9,1,1,2,9,3,1,3,2,1,
3,3,6,6,1,3,6,3,1,1,1,1],[1,9,1,9,1,1,2,9,3,1,3,3,1,3,6,2,6,1,3,3,6,1,1,1,1],[
1,9,3,3,1,1,2,9,3,1,3,3,1,3,6,1,3,3,1,1,1,1],[1,3,3,9,1,1,2,9,3,1,3,3,1,3,6,1,
3,3,1,1,1,1],[1,1,3,3,1,1,2,3,1,1,1,3,1,3,2,1,1,3,1,1,1,1],[1,3,12,1,1,2,9,1,
3,3,3,4,6,1,3,3,1,1,1,1],[1,4,3,1,1,2,3,3,4,2,1,1,1,1,3,1,1,1,1,1],[1,3,1,3,1,
1,2,3,1,3,3,1,1,1,2,1,3,1,1,1,1,1],[1,3,3,9,1,1,2,9,3,1,3,1,3,3,6,1,3,3,1,1,1,
1],[1,7,1,1,2,3,7,2,1,2,1,3,1,2,1,1],[1,1,3,3,1,1,2,3,3,1,3,2,1,1,1,1,3,1,1,1,
1,1],[1,3,12,1,1,2,9,3,4,1,3,3,6,1,3,3,1,1,1,1],[1,2,1,1,1,2,1,1,2,4,2,1,2,1,
1,2,1,2,1,1],[1,1,9,9,1,1,2,9,1,3,3,2,1,3,3,6,6,1,3,6,3,1,1,1,1],[1,1,18,1,1,
2,9,1,6,6,1,12,2,1,3,3,6,2,1,1],[1,3,1,1,2,1,3,3,6,1,1,1,2,3,1],[1,1,18,1,1,2,
9,1,6,1,6,2,12,1,3,3,6,1,2,1],[1,1,6,1,1,2,3,1,2,1,6,2,1,1,3,1,2,1],[1,1,6,1,
1,2,3,1,6,1,2,2,1,3,1,1,2,1],[1,1,1,1,2,3,1,1,2,1,3,1,1,1],[1,1,1,1,2,9,1,1,2,
1,3,3,6,1,1],[1,1,1,1,2,3,1,1,2,1,1,3,1,1],[1,1,1,1,2,1,1,1,2,1,1,1,2,1,1],[1,
3,12,1,1,2,9,1,3,3,4,3,6,1,3,3,1,1,1,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,1,4,8,
1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,2,1,1],[1,3,4,1,1,2,3,1,1,1,3,4,2,1,1,3,1,1,
1,1],[1,3,3,9,1,1,2,9,3,1,3,3,1,3,6,1,3,3,1,1,1,1],[1,3,12,1,1,2,9,1,3,3,3,4,
6,1,3,3,1,1,1,1],[1,3,12,1,1,2,9,3,4,3,1,3,6,1,3,3,1,1,1,1],[1,9,6,1,1,2,9,3,
1,3,3,3,1,6,1,3,3,1,1,1,1],[1,3,4,1,1,2,3,3,4,1,2,1,1,1,3,1,1,1,1,1],[1,9,10,
1,1,2,9,3,3,1,1,2,3,3,6,6,1,3,3,6,1,1,1,1],[1,6,1,2,2,3,6,2,2,2,1,3,1,2,1,1],[
1,6,9,2,2,9,6,2,6,6,1,6,2,1,1],[1,6,9,2,2,9,6,2,6,6,1,6,2,1,1],[1,6,9,1,1,2,9,
3,3,1,3,1,3,6,1,3,3,1,1,1,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,2,2,1,6,6,1,2,2,3,
1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,9,1,9,2,2,9,2,6,6,2,
6,6,1,6,6,1,1,1,1],[1,1,18,2,2,9,2,12,2,12,1,6,6,1,2,1],[1,1,6,2,2,3,2,2,6,2,
1,3,1,1,2,1],[1,1,2,2,3,2,2,1,3,1,1,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,9,2,
2,9,6,6,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,3,5,8,
1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,3,1,4,8,1,3,4,1,1,2,1],[1,9,6,2,1,
1,9,6,3,3,3,1,3,1,1,3,3,1,1,1,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,5,4,4,1,3,4,1,
1,1,1,1],[1,3,4,1,8,1,3,4,1,1,2,1],[1,3,8,1,4,1,3,4,2,1,1,1],[1,2,3,1,1,1,1,1,
2,3,1,1,1,1],[1,2,5,1,5,10,1,10,10,5,5,1,5,2,1,1,1,2,1,2,2,1,1,1],[1,2,1,10,1,
5,5,1,5,2,1,2,1,1,1,1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,1,5,5,5,5,5,1,5,1,
1,1,1,1,1,1],[1,3,5,15,1,15,15,1,5,3,1,3,1,3,3,1],[1,5,1,1,1,1,1,5,1,1,1,1],[
1,3,10,1,5,5,1,5,3,2,1,1,1,1],[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],[1,3,5,15,15,1,15,1,5,3,1,3,3,1,3,1],[1,1,5,5,5,1,5,1,5,1,1,1,
1,1,1,1],[1,1,5,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,1,5,5,5,10,1,5,1,1,1,1,2,1],[1,
3,10,5,1,5,1,5,3,2,1,1,1,1],[1,1,20,5,1,5,1,5,1,4,1,1,1,1],[1,5,3,15,15,1,15,
1,5,3,1,3,1,3,3,1],[1,3,10,1,5,5,1,5,3,2,1,1,1,1],[1,5,1,5,5,1,5,1,5,1,1,1,1,
1,1,1],[1,1,10,10,1,5,5,1,5,1,2,2,1,1,1,1],[1,5,1,5,10,5,1,5,1,1,1,1,2,1],[1,
5,1,5,5,10,1,5,1,1,1,1,2,1],[1,5,1,5,5,5,5,1,5,1,1,1,1,1,1,1],[1,5,1,5,5,10,1,
5,1,1,1,1,2,1],[1,3,1,1,1,3,1,1],[1,21,1,7,1,3,1,1],[1,7,1,7,1,1,1,1],[1,1,7,
7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,7,7,7,1,1,1,1],[1,2,2,1,1,2,2,1],[1,8,3,3,9,1,
4,6,6,1,4,9,9,2,3,1,2,3,4,3,6,3,3,1,2,2,1,1,3,1,3,1,3,1,1,1,1,1,1,1,1],[1,9,5,
9,1,9,15,1,3,1,9,1,3,5,3,3,3,3,3,3,1,3,3,5,1,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,7,
3,6,3,1,3,6,3,6,1,3,3,3,3,2,3,1,2,3,3,3,3,1,3,3,3,1,2,2,1,1,3,1,3,1,3,1,1,1,1,
1,1,1,1],[1,12,3,3,9,4,1,12,9,18,12,18,9,1,9,3,3,3,1,3,3,1,1,9,4,18,9,3,3,3,6,
3,3,3,3,1,3,3,1,3,3,3,1,3,3,3,1,1,1],[1,8,1,3,3,8,1,4,6,6,3,4,1,3,6,6,2,1,1,2,
1,2,2,3,4,6,3,3,1,2,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,9,3,6,5,1,9,9,6,1,
3,1,1,3,6,3,3,2,1,2,3,3,3,3,3,1,3,3,3,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,7,1,
12,7,1,3,6,1,12,1,3,3,1,3,6,2,1,1,4,2,1,3,3,3,1,3,3,3,1,2,2,1,1,1,1,1,1,2,2,3,
1,1,1,1,1,1,1,1],[1,4,3,3,9,12,1,3,12,18,1,9,9,12,9,18,1,3,1,1,3,3,3,9,4,18,3,
9,1,3,3,1,3,3,3,3,3,3,3,6,3,3,1,3,1,1,3,3,1],[1,4,1,3,3,4,1,3,4,6,4,3,1,3,3,1,
1,1,1,1,1,1,3,4,6,3,3,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,5,3,6,9,1,1,
6,9,6,1,1,9,3,3,1,3,2,2,3,1,3,3,3,3,3,3,2,3,1,1,1,3,1,1,2,3,1,1,1,1,1,1,1,1],[
1,5,1,12,5,1,1,6,3,12,3,3,1,1,3,6,1,1,2,4,1,2,3,1,3,3,3,3,3,2,1,2,1,1,1,1,1,1,
2,2,3,1,1,1,1,1,1,1,1],[1,5,3,15,1,1,15,9,1,1,9,3,5,1,5,3,1,3,3,3,3,3,1,5,3,1,
1,3,1,3,1,1,1,1,1,1,1,1],[1,3,5,3,1,3,5,1,1,1,3,1,5,3,3,1,1,1,1,1,1,1,1,3,1,1,
1,5,3,1,1,1,1,1,1,1,1,1],[1,3,3,9,8,1,4,9,1,4,9,6,6,3,1,3,2,2,3,4,6,3,3,1,3,1,
1,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,3,3,6,7,1,3,3,6,3,3,1,3,3,6,3,3,2,2,1,3,1,3,
3,3,3,3,1,3,1,1,1,3,1,2,2,3,1,1,1,1,1,1,1,1],[1,4,3,1,3,1,2,2,2,1,2,3,3,4,1,3,
3,2,1,2,1,1,2,2,2,3,1,3,2,1,2,1,2,1,1,1],[1,5,3,6,9,1,1,6,9,6,1,1,9,3,3,2,1,2,
3,3,1,3,3,3,3,3,3,1,2,2,3,1,1,3,1,1,3,1,1,1,1,1,1,1,1],[1,5,9,9,1,7,15,1,1,3,
9,3,2,1,2,3,3,1,3,3,3,3,3,3,1,2,2,3,1,1,3,1,1,3,1,1,1,1,1,1,1,1],[1,5,3,6,9,1,
1,6,9,6,1,1,9,3,3,2,1,2,3,3,1,3,3,3,3,3,3,1,2,2,3,1,1,3,1,1,3,1,1,1,1,1,1,1,
1],[1,4,1,3,3,1,2,2,2,3,1,2,3,4,3,1,3,1,2,2,1,1,2,2,2,1,2,3,3,1,1,2,2,1,1,1],[
1,4,1,1,5,1,2,2,2,1,2,2,2,2,4,1,1,5,1,4,1,1,2,2,2,1,2,2,2,2,1,1,4,1,1,1],[1,6,
3,1,3,2,4,6,3,6,6,6,3,1,3,1,4,8,3,2,6,3,1,1,4,1,2,1,1],[1,10,7,1,7,6,1,14,5,
14,18,18,7,3,9,3,4,2,1,2,2,1,2,1,7,6,18,9,3,2,2,2,4,4,4,4,1,2,2,2,1,1,1,2,1,3,
1,2,2,2,2,4,1,1,1],[1,4,1,1,1,12,1,2,2,2,1,6,3,3,6,6,4,1,1,4,1,1,6,6,3,3,2,2,
2,1,2,2,1,1,2,3,1,2,2,1,1,1],[1,4,1,1,13,1,2,2,2,1,6,3,6,3,6,4,1,4,1,1,1,6,6,
3,3,2,2,2,1,2,1,1,2,2,3,1,2,2,1,1,1],[1,4,1,1,1,1,2,2,2,1,6,6,4,1,1,1,1,3,3,2,
2,2,1,2,2,3,1,1,1,1],[1,5,7,2,9,1,7,9,6,1,1,3,3,3,6,2,1,2,1,3,2,1,3,3,3,3,3,3,
1,2,2,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,5,1,8,9,1,1,6,3,12,1,1,3,3,3,6,2,
1,2,1,3,2,1,3,3,3,3,3,3,1,2,2,1,2,1,1,1,1,1,2,3,1,1,1,1,1,1,1,1],[1,3,9,7,4,3,
9,3,3,1,9,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,3,6,7,4,3,3,6,3,3,1,3,3,6,
4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,3,6,7,4,3,3,6,3,3,1,3,3,6,4,4,4,3,1,3,
3,3,3,3,1,4,3,1,1,1,1],[1,8,3,3,9,1,6,4,6,9,1,4,9,2,2,3,1,3,3,4,6,3,3,1,2,2,1,
1,1,3,3,1,3,1,1,1,1,1,1,1,1],[1,2,3,3,9,6,1,1,6,6,9,1,1,9,3,3,2,3,1,3,2,1,3,3,
3,3,3,3,1,2,2,1,3,3,1,1,1,3,1,1,1,1,1,1,1,1],[1,8,3,1,11,1,6,4,6,3,6,1,4,3,6,
2,2,1,1,3,2,3,4,6,3,3,1,2,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,2,3,1,11,6,
1,1,6,6,3,6,4,4,3,6,2,1,1,3,2,2,4,3,3,3,6,1,2,2,1,1,1,1,1,1,2,2,3,1,1,1,1,1,1,
1,1],[1,2,3,1,3,6,4,1,6,6,1,3,3,6,3,6,8,4,3,2,6,1,3,4,1,1,2,1,1],[1,7,3,6,3,4,
3,6,3,6,1,3,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,7,9,3,4,9,9,1,3,3,3,3,
4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,7,3,6,3,4,3,6,3,6,1,3,3,3,3,4,4,4,3,3,3,
1,3,3,3,4,1,3,1,1,1,1],[1,6,1,3,3,6,1,3,6,6,3,1,3,3,3,3,2,3,1,2,3,3,3,3,1,3,3,
3,1,2,2,1,1,3,1,3,1,3,1,1,1,1,1,1,1,1],[1,6,1,1,13,6,1,3,6,6,1,6,2,6,3,6,2,1,
4,1,2,1,6,3,1,3,6,1,2,2,2,2,1,1,2,2,3,2,1,1,2,1,1],[1,6,3,1,3,18,1,3,18,18,1,
3,3,18,9,18,2,1,3,6,3,9,6,18,1,9,1,6,6,3,3,1,6,3,6,3,3,2,6,1,3,1],[1,6,1,1,5,
6,1,3,6,6,1,2,2,3,6,2,2,1,1,2,5,3,6,1,3,6,1,2,2,1,1,2,2,2,2,3,1,2,1,1,2,1],[1,
6,1,1,1,6,1,3,6,6,2,1,3,3,3,2,1,1,2,1,3,6,6,1,3,1,2,2,1,1,1,1,2,3,1,2,2,1,1,
1],[1,6,1,1,1,6,1,3,6,6,1,6,3,2,2,1,1,2,1,3,1,3,1,2,2,1,1,2,2,3,1,1,1,1],[1,7,
3,21,1,21,3,27,1,21,18,3,2,6,1,3,7,9,27,1,6,6,3,3,1,6,3,6,3,2,1,3,6,3,1],[1,3,
3,9,1,1,9,9,1,9,6,3,3,9,3,3,9,1,9,9,1,9,6,1,3,3,9,1],[1,1,3,3,12,1,3,6,1,3,6,
6,6,3,1,4,3,1,3,3,6,6,1,3,2,3,2,2,2,3,1,2,1,1,2,1],[1,1,3,3,1,3,3,9,1,3,3,1,3,
1,9,9,1,3,3,1,3,3,1,3,3,1],[1,1,3,3,1,2,3,1,3,2,3,1,3,1,1,1,1,3,3,2,2,1,1,1,1,
1],[1,7,1,7,1,7,3,9,5,3,1,2,2,1,1,7,3,9,1,2,2,1,1,1,2,1,3,2,1,1,2,1,1],[1,3,1,
3,1,1,3,3,3,9,1,3,3,1,9,9,1,3,3,1,3,3,3,1,3,1],[1,1,1,5,12,1,1,2,6,3,2,6,3,2,
6,1,1,4,5,1,3,3,6,6,1,1,2,2,1,2,2,2,2,3,1,2,1,1,2,1],[1,1,1,1,1,1,3,3,3,3,2,1,
1,1,1,3,3,1,1,1,1,1,2,3,1,1,1,1],[1,1,1,1,1,2,1,6,3,3,1,1,1,1,3,3,1,1,1,2,2,3,
1,1,1,1],[1,9,1,9,1,1,9,3,3,3,9,3,1,2,2,3,3,1,3,3,3,3,3,3,2,3,1,2,1,1,3,1,1,3,
1,1,1,1,1,1,1,1],[1,7,1,7,12,1,2,7,3,6,9,6,6,1,2,2,1,4,1,1,6,6,3,3,2,1,2,1,2,
1,2,2,2,3,1,1,1,2,2,1],[1,7,1,11,1,7,2,3,9,6,2,2,1,2,2,1,5,1,3,3,6,6,2,1,2,1,
2,1,2,2,2,3,1,1,1,2,2,1],[1,7,1,7,1,7,3,9,6,2,1,2,2,1,1,1,3,3,2,1,2,1,2,1,2,3,
1,1,1,1],[1,3,1,15,1,1,3,3,6,6,6,6,1,4,3,3,1,6,3,3,6,2,3,2,2,1,3,2,3,1,1,1,2,
2,1],[1,1,1,13,12,1,1,6,6,6,6,2,6,6,1,4,1,4,1,1,3,3,12,2,1,2,2,2,2,2,2,3,1,1,
1,4,1],[1,1,1,17,1,1,2,3,6,3,8,2,6,1,4,1,5,1,3,3,6,6,2,1,2,2,2,2,1,1,2,3,1,1,
1,2,2,1],[1,1,1,13,1,2,1,6,6,6,6,1,4,1,1,1,3,3,2,1,2,2,2,2,3,1,1,1,1],[1,3,1,
3,1,1,3,3,2,2,1,3,3,1,1,1,2,3,1,3,2,1,1,1,1,1],[1,1,1,1,12,1,1,6,6,2,6,6,1,1,
4,1,1,3,3,2,1,2,2,2,2,3,1,1,1,1],[1,1,1,5,1,2,1,2,2,2,2,1,1,5,1,1,1,2,1,2,2,2,
2,1,1,1,1,1],[1,1,1,1,1,1,3,3,2,6,1,1,1,1,3,3,2,1,2,1,1,3,1,1,1,1],[1,12,3,1,
3,4,6,6,6,1,6,3,3,8,4,6,3,6,1,3,4,1,3,2,1,1],[1,3,3,9,4,1,9,9,1,9,6,12,3,3,9,
4,1,1,3,1],[1,3,1,3,4,1,3,3,6,6,4,1,3,3,4,1,3,1,1],[1,9,1,9,4,1,9,3,3,3,9,3,4,
4,4,1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,3,1,15,4,1,3,3,6,6,6,6,4,8,1,6,3,3,6,4,1,
3,1,2,1],[1,3,1,3,4,1,3,3,1,3,4,1,3,3,4,1,1,1,1],[1,3,3,9,4,1,9,9,1,9,6,12,3,
3,9,4,1,1,3,1],[1,3,3,9,16,1,9,9,1,9,6,3,3,9,4,4,12,1,1],[1,3,3,9,4,1,9,9,1,9,
6,12,3,3,9,4,1,1,3,1],[1,3,3,9,4,1,9,9,1,9,6,12,3,3,9,1,4,1,3,1],[1,3,3,9,16,
1,9,9,1,9,6,3,3,9,4,4,12,1,1],[1,9,1,9,4,1,9,3,3,3,9,3,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,3,1,15,4,1,3,3,6,6,6,6,4,8,1,6,3,3,6,1,4,3,1,2,1],[1,12,1,3,3,
4,6,6,6,3,1,6,3,8,4,3,6,6,1,3,4,1,3,1,2,1],[1,1,3,3,4,6,3,1,3,6,4,3,1,3,4,1,3,
1,1],[1,6,1,3,3,6,4,3,6,6,3,1,3,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,3,
3,9,4,9,1,9,1,9,6,12,3,3,9,4,1,1,3,1],[1,1,3,3,12,4,3,6,1,3,6,6,6,4,8,1,3,3,6,
6,4,1,3,1,2,1],[1,1,3,3,4,3,1,3,1,3,4,1,3,3,4,1,1,1,1],[1,3,3,9,16,9,1,9,1,9,
6,3,3,9,4,4,12,1,1],[1,3,3,9,4,9,1,9,1,9,6,12,3,3,9,1,4,1,3,1],[1,6,1,3,3,6,4,
3,6,6,3,1,3,3,3,3,4,4,4,3,3,3,1,3,3,3,4,1,3,1,1,1,1],[1,1,3,3,12,4,3,6,1,3,6,
6,6,4,8,1,3,3,6,6,4,1,3,1,2,1],[1,3,1,3,4,3,1,3,3,1,4,3,1,3,1,4,1,1,1],[1,9,1,
9,4,3,9,9,1,3,3,3,4,4,4,3,3,3,1,3,3,3,1,4,3,1,1,1,1],[1,3,1,3,12,4,6,3,1,6,3,
6,6,4,8,3,6,6,1,3,1,4,3,1,2,1],[1,3,1,15,4,3,6,1,3,6,6,6,4,8,3,1,3,6,6,1,4,3,
1,2,1],[1,3,1,3,4,3,1,3,6,6,4,3,1,3,1,4,3,1,1],[1,3,3,9,8,1,9,6,1,9,4,4,6,3,2,
1,3,2,3,3,3,4,6,1,1,1,3,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,5,1,4,1,5,1,1,1],[1,5,
1,4,1,5,1,1,1],[1,25,1,4,1,5,20,5,1,1],[1,9,1,2,4,2,4,3,9,3,6,2,2,1,4,4,3,1,3,
6,1,1],[1,3,1,2,4,2,4,1,6,6,2,2,1,4,4,2,2,3,1,1],[1,3,1,2,4,2,4,3,6,3,1,2,2,1,
4,4,1,3,1,2,1,1],[1,9,1,2,4,2,4,9,6,6,2,2,1,4,4,6,6,1,1,1],[1,27,1,2,4,2,4,9,
18,36,18,36,2,2,1,4,4,6,6,3,12,12,1,1],[1,9,1,2,4,2,4,3,9,3,6,2,2,1,4,4,3,1,3,
6,1,1],[1,3,1,2,4,2,4,3,3,6,1,2,2,1,4,4,3,1,1,2,1,1],[1,3,14,1,7,7,1,7,3,2,1,
1,1,1],[1,4,3,1,3,1,1,1,1,4,3,1,1,3,1,1,1,1],[1,3,5,15,1,15,1,1,5,5,3,1,3,5,1,
3,1,1,1,1],[1,3,15,5,1,15,1,1,5,5,3,3,1,5,1,3,1,1,1,1],[1,5,3,15,1,15,1,5,1,5,
3,1,3,5,1,3,1,1,1,1],[1,3,20,1,15,1,1,5,5,3,4,5,1,3,1,1,1,1],[1,1,5,5,1,5,1,5,
1,5,1,1,1,5,1,1,1,1,1,1],[1,1,15,15,1,15,1,1,5,5,1,3,3,5,1,3,1,1,1,1],[1,5,1,
15,1,5,1,5,1,3,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,5,
1,15,1,5,1,5,1,3,1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,3,5,15,1,15,1,5,1,5,3,1,3,
5,1,3,1,1,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,1,5,5,1,5,1,5,1,5,1,1,1,5,1,1,1,1,
1,1],[1,5,1,15,1,5,1,5,1,3,1,1],[1,7,1,3,1,2,1,7,1,1,3,2,1,1],[1,3,20,1,15,1,
1,5,5,3,4,5,1,3,1,1,1,1],[1,1,30,1,15,1,10,1,1,6,5,1,3,2,1,1],[1,3,1,1,1,3,3,
1,1,1,3,1],[1,1,10,1,5,1,1,10,1,2,5,1,1,1,2,1],[1,1,1,3,1,1,1,1,1,3,1,1],[1,1,
1,15,1,1,1,5,1,3,1,1],[1,5,1,5,1,5,1,5,1,1,1,1],[1,3,4,1,1,3,1,4,1,1],[1,3,4,
1,1,3,1,4,1,1],[1,3,4,1,1,3,1,4,1,1],[1,3,4,1,1,3,1,4,1,1],[1,5,1,5,1,5,1,5,1,
1,1,1],[1,3,5,15,1,15,1,5,1,5,3,1,3,5,1,3,1,1,1,1],[1,5,1,15,1,5,1,5,1,3,1,
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],[1,15,10,5,6,10,6,5,1],[1,15,10,5,6,10,6,5,1],[1,1,7,14,1,7,
1,2,1,1],[1,6,5,3,15,6,6,3,6,10,10,1,2,15,9,1,6,1,9,3,1,3,15,3,3,6,2,6,6,2,3,
2,2,2,6,2,3,6,5,5,4,2,2,6,2,3,1,3,1,2,2,5,3,9,1,3,3,3,9,5,3,3,3,3,6,3,5,6,4,1,
2,2,3,1,1,1,3,1,2,2,5,3,1,1,3,1,1,1,3,3,1,1,1,1,1,1,1,3,1,1,1,1,3,3,3,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,5,1,1,1,5,1,1],[1,6,3,1,1,2,3,1,3,2,3,6,3,6,
3,1,1,1,1,3,1,3,2,2,3,1,3,1,1,1,1],[1,8,1,3,3,1,1,2,4,6,6,3,2,1,1,2,1,4,8,3,1,
3,2,3,1,1,2,2,1,1,2,4,6,6,3,2,1,2,1,1,1,3,1,2,2,1,1,1],[1,6,1,6,1,1,2,3,1,3,2,
1,2,6,1,6,2,3,1,1,1,1,3,3,1,2,2,1,2,1,3,1,1,1,1],[1,9,3,3,1,4,8,9,9,1,3,3,1,
12,3,4,3,3,1,2,1,4,1,3,1,1],[1,15,7,9,1,1,2,21,27,3,5,7,3,6,3,2,1,3,6,2,6,9,1,
7,9,3,3,6,6,3,1,6,2,1,2,1,1,3,3,1,2,2,1,1,1],[1,6,1,18,1,1,2,3,9,3,2,1,6,6,1,
6,2,12,9,1,1,3,3,3,3,1,6,2,1,2,3,3,1,1,1,1],[1,9,1,18,3,1,1,2,3,18,3,18,9,2,1,
3,6,3,6,1,6,1,1,12,2,9,1,1,6,6,3,3,3,6,6,1,3,6,2,1,2,1,1,3,3,1,2,2,1,1,1],[1,
6,1,6,1,1,2,3,3,9,2,1,6,6,1,2,2,9,1,1,3,3,3,1,3,6,2,1,2,3,3,1,1,1,1],[1,16,3,
3,9,1,1,2,12,12,18,9,4,3,1,4,3,2,4,4,3,1,3,6,6,9,1,3,4,6,3,3,3,6,4,6,3,3,1,1,
1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,4,3,3,9,12,1,1,2,3,12,18,9,9,1,3,1,1,3,3,3,
2,4,3,1,3,4,6,6,9,1,1,3,3,3,3,3,3,3,6,4,6,3,3,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,
1],[1,13,3,12,3,1,1,2,9,12,3,18,9,4,3,1,4,3,2,4,3,1,3,1,3,6,6,9,1,3,4,6,3,3,3,
6,3,3,1,3,3,3,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,7,3,12,9,1,1,2,3,12,9,18,
9,1,3,4,4,3,2,4,1,1,3,3,3,6,6,9,1,4,3,3,3,6,3,6,1,3,3,3,3,3,1,1,1,1,1,1,1,3,3,
1,1,1,1,1,1,1,1],[1,3,3,9,1,4,8,9,1,9,1,3,3,12,3,4,3,1,3,1,2,4,1,3,1,1],[1,12,
1,3,3,12,1,1,2,9,12,18,3,9,3,1,1,3,1,3,3,4,3,1,4,3,6,2,6,9,1,3,3,3,1,3,3,3,3,
4,6,3,3,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,11,1,18,9,1,1,2,1,18,9,18,9,3,
1,2,6,3,4,2,3,6,1,3,6,12,2,6,9,1,6,3,1,3,6,2,1,12,12,6,6,3,3,6,6,1,2,2,1,1,3,
6,3,2,1,1,2,1,1],[1,9,3,27,1,1,2,27,1,27,3,3,9,3,3,9,6,6,18,9,1,9,1,9,9,1,9,
18,2,18,1,3,3,3,3,6,3,1,3,1],[1,9,1,6,15,1,1,2,9,18,3,3,18,3,1,2,3,6,3,1,5,6,
6,2,6,9,1,3,6,1,3,6,3,6,1,3,6,6,1,1,1,2,2,3,3,1,2,1,1,2,1],[1,9,1,9,1,1,2,9,3,
3,3,1,3,3,1,3,6,2,6,9,1,3,1,3,3,1,3,6,1,1,1,3,3,1,1,1,1],[1,9,1,9,1,1,2,9,1,9,
3,1,3,3,1,3,6,2,6,9,1,3,1,3,3,3,1,6,6,2,1,1,1,3,3,6,1,1,1,1],[1,7,3,21,1,1,2,
21,3,27,7,1,7,3,2,6,1,3,12,2,9,1,7,3,9,6,3,1,6,3,6,1,2,2,1,1,3,3,2,1,1,2,1,
1],[1,3,3,9,1,1,2,1,9,9,3,1,3,3,3,9,6,3,1,1,3,3,9,1,9,2,1,3,3,1,3,3,1,3,1],[1,
1,3,3,24,1,1,2,3,12,18,18,1,1,1,6,6,3,1,8,3,2,12,9,1,1,3,3,6,6,3,6,4,6,6,1,1,
2,1,2,3,3,1,2,1,1,2,1],[1,1,3,3,1,1,2,3,3,9,1,1,1,3,1,3,2,9,1,1,3,3,3,1,3,6,1,
1,1,3,3,1,1,1,1],[1,1,3,3,1,1,2,4,3,1,1,1,3,1,3,2,3,1,1,1,1,3,4,2,1,1,1,1,3,1,
1,1,1],[1,5,7,3,1,1,2,7,9,3,7,5,3,4,2,1,2,1,1,2,3,1,7,3,9,2,1,2,2,1,1,1,2,2,1,
1,3,1,2,1,1,2,1,1],[1,3,3,9,1,1,2,9,1,9,3,3,9,1,3,3,6,3,1,1,9,9,3,1,3,2,1,3,3,
3,1,3,1,3,1],[1,3,1,6,21,1,1,2,3,18,3,9,18,1,3,2,6,3,1,1,7,6,2,12,9,1,1,3,3,6,
6,1,6,3,3,6,6,1,1,2,2,1,3,3,1,2,1,1,2,1],[1,3,1,3,1,1,2,3,1,3,1,3,3,1,1,1,2,3,
1,1,3,3,1,1,1,2,1,1,1,3,1,1,1,1,1],[1,3,1,3,1,1,2,3,3,9,1,3,3,1,1,1,2,9,1,1,3,
3,1,3,3,6,1,1,1,3,3,1,1,1,1],[1,9,1,1,2,1,3,3,9,2,3,6,3,1,1,3,3,1,1,1,2,2,3,3,
1,1,1,1,1],[1,7,18,1,1,2,3,3,9,7,6,2,1,6,2,12,9,1,1,3,3,1,3,3,6,2,1,2,3,3,1,1,
1,1],[1,7,6,1,1,2,3,3,9,7,2,2,1,6,2,9,1,1,3,3,1,3,3,6,2,1,2,3,3,1,1,1,1],[1,7,
6,1,1,2,1,3,3,7,6,2,1,2,2,3,1,1,3,3,1,1,1,2,2,1,2,3,1,1,1,1,1],[1,2,3,1,1,2,1,
1,1,3,2,4,2,3,6,1,1,1,1,1,2,1,1,1,2,2,2,3,1,2,1,1,1,1,1],[1,2,1,18,1,1,2,1,9,
9,1,2,6,4,2,1,6,2,12,9,1,1,3,3,2,1,3,3,6,6,2,1,2,3,6,3,1,1,1,1],[1,2,1,6,1,1,
2,1,3,3,1,2,2,4,2,1,6,2,3,1,1,1,1,2,1,3,3,2,1,2,1,3,1,1,1,1],[1,2,1,6,1,1,2,1,
3,3,1,2,6,4,2,1,2,2,3,1,1,3,3,2,1,1,1,2,1,2,3,1,1,1,1,1],[1,3,18,1,1,2,1,9,9,
3,6,6,3,12,6,9,1,1,3,3,3,1,3,6,2,6,2,3,3,3,6,1,1,1,1],[1,1,18,18,1,1,2,1,9,9,
1,6,6,6,1,6,12,2,12,9,1,1,3,3,3,3,1,6,6,2,2,1,2,3,3,6,1,1,1,1],[1,1,24,1,1,2,
3,3,9,1,8,6,1,6,12,2,9,1,1,3,3,3,3,1,6,2,1,2,3,3,1,1,1,1],[1,1,18,6,1,1,2,3,3,
9,1,6,6,6,1,2,12,2,9,1,1,3,3,3,1,3,6,2,1,2,3,3,1,1,1,1],[1,18,3,1,4,8,9,1,9,6,
3,12,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,3,3,9,1,4,8,1,9,9,3,1,3,12,3,4,1,3,3,1,
2,4,1,3,1,1],[1,6,3,1,4,8,3,1,3,3,6,4,3,4,1,3,3,1,2,4,3,1,1,1],[1,9,1,4,8,1,3,
3,9,4,3,4,1,3,3,1,2,4,3,1,1,1],[1,1,3,3,1,4,8,3,1,3,3,1,3,8,4,1,4,1,3,3,1,2,4,
1,2,1,1,1],[1,3,18,1,4,8,1,9,9,3,6,12,24,9,4,1,3,3,1,2,4,3,3,6,1,1],[1,3,3,9,
1,4,8,1,9,9,3,1,3,12,3,4,1,3,3,1,2,4,1,3,1,1],[1,9,1,4,8,1,3,3,9,4,3,4,1,3,3,
1,2,4,3,1,1,1],[1,3,18,1,4,8,1,9,9,3,6,12,24,9,4,1,3,3,1,2,4,3,3,6,1,1],[1,3,
3,9,1,4,8,9,1,9,3,1,3,12,3,4,3,1,3,2,1,4,1,3,1,1],[1,3,3,1,1,4,8,3,3,1,3,3,1,
4,8,1,4,3,1,3,2,1,4,1,1,2,1,1],[1,9,1,4,8,3,1,3,9,4,3,4,3,1,3,2,1,4,3,1,1,1],[
1,3,18,1,4,8,9,1,9,3,6,12,24,9,4,3,1,3,2,1,4,3,6,3,1,1],[1,3,18,1,4,8,9,1,9,3,
6,12,24,9,4,3,1,3,2,1,4,3,6,3,1,1],[1,3,6,1,4,8,3,1,3,3,6,4,3,4,3,1,3,2,1,4,3,
1,1,1],[1,3,3,9,16,1,1,2,9,12,12,18,3,1,3,4,4,3,4,2,1,3,4,6,6,9,1,3,3,3,4,6,3,
3,3,4,6,6,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,6,3,2,2,3,1,3,6,2,6,6,3,1,3,1,
2,1,3,2,2,3,3,1,1,1,1,1],[1,12,9,1,9,2,2,18,6,18,9,12,4,2,6,6,2,6,6,9,1,6,12,
12,2,6,6,4,1,1,1,6,2,2,2,1,1],[1,6,1,18,2,2,3,3,9,6,2,2,12,2,12,9,1,3,1,1,6,3,
6,2,1,2,3,3,1,1,1,1],[1,6,9,6,2,2,9,9,9,6,2,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,
6,9,6,2,2,9,9,9,6,2,6,6,6,2,9,1,6,6,2,1,2,1,1,1,1],[1,3,3,9,5,8,9,1,9,12,1,3,
3,3,4,3,1,3,1,2,4,3,1,1,1],[1,3,3,9,1,4,8,9,1,9,12,1,3,3,3,4,3,1,3,1,2,4,3,1,
1,1],[1,18,3,4,1,8,9,1,9,12,6,3,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,6,3,4,1,8,3,
1,3,4,6,3,3,4,3,1,3,1,2,4,3,1,1,1],[1,3,3,9,4,1,8,9,1,9,12,3,1,3,3,4,1,3,3,1,
2,4,1,3,1,1],[1,1,3,3,4,1,8,3,1,3,4,3,1,3,8,1,4,1,3,3,1,2,4,1,1,2,1,1],[1,3,
18,4,1,8,1,9,9,12,3,6,24,9,4,1,3,3,1,2,4,3,3,6,1,1],[1,9,3,27,2,2,27,1,27,6,6,
18,6,6,18,9,1,2,18,18,2,18,18,3,1,3,6,6,1,3,3,1],[1,3,6,2,2,1,3,3,6,6,6,2,3,1,
2,2,3,3,1,1,3,2,3,1,1,1,1,1],[1,6,3,1,4,8,3,1,3,6,3,4,3,4,3,1,3,1,2,4,3,1,1,
1],[1,9,1,9,2,2,9,6,2,6,6,2,6,6,9,1,2,6,6,6,1,1,1,6,2,1,1],[1,9,1,9,12,2,2,9,
18,6,18,2,6,6,2,12,6,6,4,9,1,6,6,6,2,12,12,1,1,1,4,6,1,2,2,2,1],[1,9,1,9,2,2,
9,9,9,2,6,6,2,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,9,1,9,2,2,9,6,2,6,6,2,6,6,9,1,6,6,
6,2,1,1,1,6,1,2,1],[1,9,1,9,2,2,9,18,2,6,6,2,6,6,9,1,6,6,1,1,1,1,2,1],[1,1,18,
6,2,2,9,3,3,2,12,2,6,12,2,9,1,6,3,3,6,1,1,1,2,2,3,3,1,1,1,1],[1,3,1,3,5,8,1,3,
3,5,3,3,8,1,4,3,1,3,1,2,4,1,1,2,1,1],[1,6,3,5,8,3,1,3,6,4,3,3,4,3,1,3,1,2,4,3,
1,1,1],[1,21,5,8,1,9,9,18,3,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,3,18,5,8,1,9,9,
18,3,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,6,3,1,4,8,3,1,3,6,3,4,3,4,3,1,3,1,2,4,3,
1,1,1],[1,3,18,1,4,8,1,9,9,6,3,12,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,6,3,1,4,8,
3,1,3,6,3,4,3,4,3,1,3,1,2,4,3,1,1,1],[1,3,3,9,4,1,8,9,1,9,12,1,3,3,3,4,3,1,3,
1,2,4,3,1,1,1],[1,6,3,4,1,8,3,1,3,6,4,3,3,4,3,1,3,1,2,4,3,1,1,1],[1,3,18,4,1,
8,1,9,9,12,6,3,24,9,4,3,1,3,1,2,4,3,3,6,1,1],[1,3,18,5,4,4,1,9,9,18,3,12,12,9,
4,3,1,3,1,1,1,4,3,3,3,3,1,1],[1,3,6,4,1,8,1,3,3,4,3,6,3,4,1,1,2,3,3,4,1,3,1,
1],[1,3,3,9,4,1,8,9,1,9,12,3,1,3,3,4,1,1,2,3,3,4,3,1,1,1],[1,3,18,4,1,8,1,9,9,
12,3,6,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,3,6,8,1,4,1,3,3,3,6,4,3,4,2,1,1,3,3,4,
3,1,1,1],[1,2,5,3,15,10,1,10,10,15,1,1,15,5,5,1,1,5,5,5,5,5,5,2,3,1,3,2,5,1,2,
2,1,1,3,3,1,1,1,1,1,1,1,1,1,1],[1,2,5,1,5,10,1,10,10,10,5,5,5,5,1,5,10,10,5,5,
2,1,1,1,2,5,1,2,2,1,1,2,1,1,1,2,2,1,1,1],[1,2,5,1,5,10,1,10,10,5,10,5,10,1,5,
5,5,2,1,1,1,2,5,1,2,2,1,1,2,2,1,1,1,1],[1,3,5,15,1,15,15,10,10,1,5,5,5,3,1,3,
5,1,3,3,2,2,1,1,1,1],[1,5,5,25,1,25,15,1,1,15,5,1,5,1,5,5,5,5,5,5,1,5,5,1,5,3,
1,1,3,1,1,1,1,1,1,1,1,1],[1,3,5,15,1,15,15,5,15,1,5,15,15,3,1,3,5,1,3,3,1,3,1,
3,3,1],[1,3,5,15,15,1,15,15,5,1,15,5,15,3,1,3,5,3,1,3,3,1,3,1,3,1],[1,1,5,5,5,
1,5,10,10,1,5,5,5,1,1,1,5,1,1,1,2,2,1,1,1,1],[1,3,5,15,15,1,15,10,10,1,5,5,5,
3,1,3,5,3,1,3,2,2,1,1,1,1],[1,1,5,5,5,1,5,5,5,10,1,5,5,5,1,1,1,5,1,1,1,1,1,2,
1,1,1,1],[1,5,3,15,10,15,1,15,10,1,5,5,5,3,1,3,5,1,3,3,2,2,1,1,1,1],[1,5,3,15,
15,5,15,1,15,1,5,15,15,3,1,3,5,1,3,3,1,3,1,3,3,1],[1,5,1,5,5,5,5,1,5,10,1,5,5,
5,1,1,1,5,1,1,1,1,1,2,1,1,1,1],[1,5,1,5,10,5,10,1,5,1,5,5,5,1,1,1,5,1,1,1,2,2,
1,1,1,1],[1,3,28,1,21,1,7,7,1,7,3,4,1,3,1,1,1,1],[1,3,4,1,1,1,3,4,1,1],[1,3,
28,1,1,7,3,4,1,1],[1,3,7,1,21,1,7,3,1,1,3,1],[1,1,14,7,7,7,14,1,7,1,2,1,1,1,2,
1],[1,1,7,7,7,1,7,1,1,1,1,1],[1,5,2,2,1,10,10,1,1,2,2,5,2,2,1,1],[1,9,2,2,1,6,
6,1,9,2,2,1,6,6,1,1],[1,45,2,2,1,30,30,1,9,2,2,5,6,6,1,1],[1,12,5,3,15,12,1,
12,9,18,20,30,1,4,15,9,1,12,1,9,3,9,18,3,5,1,3,5,3,3,4,9,6,4,4,18,6,15,4,4,18,
6,3,1,3,3,4,6,3,9,3,3,3,3,3,6,5,5,1,1,5,3,3,1,1,3,1,5,3,3,1,3,5,6,3,4,6,3,3,6,
6,3,3,3,3,1,3,1,1,1,3,1,5,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,1,1,1,
1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,4,3,3,9,1,2,2,2,1,2,9,9,1,2,9,6,2,4,3,
3,9,2,1,2,2,2,4,3,1,3,1,9,1,2,2,2,1,2,9,9,1,9,2,6,2,1,1,1,1,1,1,1,2,1,2,2,2,4,
3,1,3,9,1,1,1,1,1,1,1,1,1,1,1],[1,10,9,1,9,18,1,14,5,14,30,30,1,2,9,3,3,18,3,
9,3,9,18,4,2,1,2,2,3,6,3,2,7,2,6,6,18,6,15,6,6,18,6,1,3,3,1,6,6,3,9,3,3,3,2,2,
2,4,4,4,4,1,6,6,2,3,3,1,2,1,1,6,3,1,1,2,6,1,6,6,3,3,6,6,3,3,3,3,2,1,2,2,2,2,2,
2,2,4,3,2,6,2,2,1,1,3,1,1,1,2,1,1,2,1,3,1,2,2,1,1,2,2,1,1,1,1,1],[1,4,3,1,15,
1,2,2,2,1,2,3,3,6,6,3,6,9,6,4,1,4,3,3,2,1,2,6,6,1,6,1,3,9,3,9,6,2,2,2,1,2,3,3,
2,2,1,3,2,2,1,3,3,3,3,3,3,2,1,2,2,2,3,1,1,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,6,3,
3,9,2,4,6,3,6,6,6,9,1,9,1,3,9,1,1,6,12,8,3,2,6,3,6,3,3,3,3,3,9,3,1,3,1,4,4,4,
3,1,3,3,3,1,1,2,3,4,1,1,1,1,1],[1,10,7,3,21,6,1,14,5,14,18,18,21,3,27,1,5,21,
3,3,18,4,2,3,2,6,1,2,3,7,6,18,5,14,9,9,7,7,9,27,9,3,9,2,2,2,4,4,4,4,1,2,2,1,1,
6,6,2,3,1,3,1,1,6,3,6,7,3,9,9,9,3,3,1,2,2,2,2,2,2,2,2,4,1,2,1,1,2,1,1,2,1,1,3,
6,2,3,2,1,3,1,1,1,2,2,2,2,1,1,1,1,1],[1,4,1,3,3,12,1,2,2,2,3,6,3,9,1,2,3,6,6,
6,4,3,1,4,3,1,6,6,2,2,1,1,3,9,9,3,6,6,2,2,2,1,2,3,2,3,2,2,1,3,2,1,3,3,3,3,3,3,
1,2,2,2,2,1,2,1,1,1,3,3,2,3,1,1,1,1,1,1,1,1],[1,10,7,1,11,6,1,14,5,14,18,18,7,
2,3,9,6,2,3,6,2,2,4,2,1,2,2,1,2,5,7,6,18,9,6,4,1,1,3,3,3,6,6,6,2,2,2,4,4,4,4,
1,2,2,2,1,1,2,2,1,2,1,2,2,2,2,1,3,3,3,3,3,3,1,2,2,2,2,4,4,1,2,1,1,1,1,1,2,2,2,
3,1,1,1,1,1,1,1,1],[1,4,1,1,17,12,1,2,2,2,1,2,6,3,6,3,3,8,6,3,2,2,6,6,4,1,4,1,
4,5,1,6,6,6,6,4,1,1,3,3,3,3,6,6,6,6,12,2,2,2,1,2,1,2,2,1,2,2,2,2,1,1,2,2,2,1,
3,3,3,3,3,3,1,2,2,2,2,4,1,2,1,1,1,1,1,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,6,9,1,9,
14,4,6,3,6,18,18,3,6,9,9,1,18,3,3,3,7,18,4,8,4,4,8,6,3,6,2,6,6,6,9,6,6,18,6,3,
3,3,3,6,6,1,9,3,3,3,1,4,4,4,8,8,3,6,6,1,3,6,6,3,3,3,3,2,1,1,2,1,4,3,1,2,2,1,1,
1],[1,6,3,1,15,2,4,6,3,6,6,6,3,6,1,3,6,6,1,6,6,6,4,8,8,3,2,6,3,6,12,3,3,1,3,3,
6,6,6,1,4,4,4,3,1,3,3,3,3,3,2,1,2,4,3,1,1,1,1],[1,2,3,3,9,6,4,1,6,6,1,9,9,6,1,
1,9,3,3,6,6,8,12,1,3,3,2,6,3,3,9,3,3,3,3,3,6,4,4,4,1,3,1,3,1,1,3,3,4,2,3,1,1,
1,1,1],[1,14,9,1,9,6,4,18,7,18,18,18,1,6,9,3,3,6,3,9,3,3,6,8,8,4,4,4,6,9,6,6,
6,18,6,9,2,6,6,6,1,3,3,3,6,6,3,3,3,3,3,4,8,8,4,4,1,3,6,6,3,3,6,6,1,3,3,3,4,2,
2,1,1,1,3,1,2,2,1,1,1],[1,2,3,1,15,6,4,1,6,6,1,3,3,6,6,6,6,6,3,6,6,6,8,4,8,6,
3,2,6,1,6,3,3,3,3,3,6,6,12,4,4,4,1,3,1,3,3,3,3,3,4,2,1,2,3,1,1,1,1],[1,6,3,3,
9,18,1,3,18,18,1,9,9,18,1,3,9,9,9,6,18,2,3,3,6,9,3,9,9,6,18,3,3,9,9,9,9,9,9,
18,1,6,6,1,1,9,3,9,3,1,6,9,6,6,9,3,9,1,3,9,9,1,3,3,2,6,3,3,3,3,3,3,9,3,6,3,3,
1,3,1,3,1,3,1],[1,6,1,3,3,6,1,3,6,6,2,3,3,9,1,3,3,3,3,2,2,3,1,2,3,3,3,3,6,6,1,
1,1,9,3,9,3,3,1,2,2,1,1,3,1,3,1,1,3,2,2,3,3,3,1,3,3,3,1,1,1,2,2,1,1,1,1,3,1,3,
1,3,1,1,1,1,1,1,1,1],[1,6,3,1,15,18,1,3,18,18,1,3,3,18,6,6,2,6,9,2,18,6,2,1,4,
3,6,3,6,9,6,18,1,6,1,1,9,3,3,6,6,12,1,6,6,2,2,3,3,2,2,1,6,3,2,6,2,3,3,3,1,3,3,
3,2,3,2,6,1,2,1,1,3,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,6,1,1,17,6,1,3,6,6,2,1,2,
3,6,3,2,8,3,6,2,6,2,1,4,1,2,5,6,3,6,6,6,1,1,1,3,3,3,6,6,6,6,1,2,2,2,2,1,1,2,2,
2,2,2,1,1,2,2,3,3,3,1,3,3,3,2,1,2,2,2,1,2,1,1,1,1,1,2,2,2,3,1,1,1,1,1,1,1,1],[
1,9,3,27,1,1,27,9,3,3,27,9,1,27,6,18,3,2,6,3,9,3,3,9,9,9,9,9,27,9,9,9,18,1,6,
6,9,9,1,6,3,6,1,9,1,3,6,1,9,9,3,3,9,9,2,3,3,6,3,3,9,3,3,1,3,3,3,6,3,1,1,1,3,3,
3,3,1],[1,7,3,21,12,1,2,21,3,6,27,1,21,6,6,2,6,18,3,2,6,1,4,3,1,6,6,7,1,9,3,
27,3,6,6,12,1,6,6,3,2,3,2,1,6,3,6,2,2,2,2,1,3,3,3,3,3,3,2,1,2,3,6,3,1,1,1,1,2,
2,2,4,3,1,1,1,1,1,1,1,1],[1,9,1,9,1,1,9,3,3,3,9,3,5,9,2,1,2,2,3,3,1,3,3,7,1,3,
3,15,9,3,3,1,2,2,3,3,1,2,1,1,3,1,1,2,1,3,3,3,3,3,3,2,3,1,2,1,1,3,1,1,1,1,1,1,
3,1,1,1,1,1,1,1,1],[1,7,1,11,12,1,2,7,2,3,6,9,6,5,2,6,3,2,6,1,2,2,1,4,5,1,6,6,
7,1,3,3,9,3,6,6,6,6,1,2,2,1,2,2,1,1,2,1,2,2,2,2,2,2,1,3,3,3,3,3,3,2,1,2,1,2,1,
1,1,1,1,2,2,2,2,2,3,1,1,1,1,1,1,1,1],[1,12,3,3,9,4,6,6,6,1,6,9,9,1,6,9,6,6,8,
12,6,3,6,6,6,12,3,3,3,3,9,3,4,4,4,1,3,3,3,1,3,3,3,4,2,3,3,1,1,1,1],[1,12,3,1,
15,4,6,6,6,1,6,3,3,6,6,1,6,3,6,8,4,8,6,3,6,6,6,1,6,3,3,3,3,3,6,4,4,4,1,3,3,3,
3,1,3,3,4,2,1,2,3,1,1,1,1],[1,9,3,27,4,1,27,9,3,3,27,9,1,27,6,18,12,4,12,3,3,
9,9,9,9,9,27,9,9,9,18,4,12,12,1,1,9,9,3,3,9,9,4,3,1,3,3,1,3,3,1],[1,9,1,9,4,1,
9,3,3,3,9,3,7,3,6,4,4,4,1,3,3,9,3,3,3,9,3,3,3,4,4,4,1,3,3,1,3,3,3,3,4,1,1,1,3,
1,1,1,1],[1,12,3,3,9,4,6,6,6,1,6,9,9,1,6,9,6,6,8,12,6,3,6,6,6,12,3,3,3,3,9,3,
4,4,4,1,3,3,3,1,3,3,3,4,3,2,3,1,1,1,1],[1,6,3,3,9,18,4,3,18,18,1,9,9,18,1,3,9,
9,9,6,18,4,12,12,3,9,9,6,18,3,3,9,9,9,9,9,9,18,12,4,12,1,9,3,9,1,3,9,9,4,3,1,
3,3,1,3,3,1],[1,5,3,15,4,1,15,9,1,1,9,3,1,15,6,6,20,3,1,3,5,9,3,3,9,3,3,3,6,4,
4,4,1,1,3,3,1,1,3,3,4,5,1,1,1,1,1],[1,12,3,3,9,16,6,6,6,1,6,9,9,1,6,9,6,6,16,
6,3,6,6,6,12,3,3,3,3,9,3,4,4,12,3,3,3,1,3,3,3,4,4,4,3,1,1],[1,6,3,3,9,18,4,3,
18,18,1,9,9,18,1,3,9,9,9,6,18,4,12,12,3,9,9,6,18,3,3,9,9,9,9,9,9,18,12,4,12,1,
9,3,9,1,3,9,9,4,3,1,3,3,1,3,3,1],[1,9,3,27,4,1,27,9,3,3,27,9,1,27,6,18,12,4,
12,3,3,9,9,9,9,9,27,9,9,9,18,1,4,12,12,1,9,9,3,3,9,9,3,1,3,4,3,1,3,3,1],[1,18,
3,3,9,6,4,18,9,18,18,18,9,1,9,1,9,9,3,3,6,12,12,4,9,6,18,9,18,9,9,3,9,3,9,9,3,
9,12,12,4,1,9,3,9,9,9,1,3,4,3,3,1,3,3,3,1,1],[1,12,1,3,3,12,4,6,6,6,3,6,1,3,1,
6,3,6,6,6,8,4,8,3,6,6,6,6,1,3,3,3,3,3,6,6,4,4,4,1,3,3,3,3,1,3,3,4,1,2,2,3,1,1,
1,1],[1,6,1,3,3,6,4,3,6,6,6,3,1,3,1,3,3,3,3,6,4,4,4,3,3,3,6,6,3,1,3,3,3,3,3,3,
4,4,4,1,3,3,3,3,3,1,3,4,1,1,1,3,1,1,1,1],[1,3,3,9,12,4,6,9,1,6,9,1,9,6,6,6,6,
6,12,8,3,6,6,3,3,3,3,9,3,6,6,12,4,4,4,1,3,3,3,1,3,3,3,4,3,2,3,1,1,1,1],[1,3,3,
9,12,16,6,9,1,6,9,1,9,6,6,6,6,6,16,3,6,6,3,3,3,3,9,3,6,6,12,4,4,12,3,3,3,1,3,
3,3,4,4,4,3,1,1],[1,9,3,27,4,3,27,27,1,3,9,9,1,27,18,6,12,4,12,9,3,9,9,27,3,9,
9,9,9,9,18,1,4,12,12,3,9,9,1,3,9,9,3,1,3,4,3,1,3,3,1],[1,3,3,9,12,4,6,9,1,6,9,
1,9,6,6,6,6,6,12,8,3,6,6,3,3,3,3,9,3,6,6,12,1,4,4,4,3,3,3,1,3,3,3,3,2,4,3,1,1,
1,1],[1,9,1,9,4,3,9,9,1,3,3,3,3,7,6,4,4,4,3,3,3,3,3,1,3,9,9,3,3,1,4,4,4,3,3,3,
1,3,3,3,1,1,1,4,3,1,1,1,1],[1,3,1,15,12,4,6,3,6,1,6,3,6,3,6,6,1,6,6,4,8,8,3,6,
6,3,3,1,3,3,3,6,6,6,6,1,4,4,4,3,3,3,1,3,3,3,1,2,2,4,3,1,1,1,1],[1,5,5,1,4,1,5,
1,5,1,1,1,1],[1,5,5,25,25,1,4,1,5,5,1,5,20,1,5,5,5,1,1,1,1,1],[1,5,25,1,4,1,5,
1,5,5,1,1,1],[1,5,5,1,4,1,5,1,5,1,1,1,1],[1,5,25,1,4,1,5,1,5,5,1,1,1],[1,25,
25,1,4,1,5,20,5,5,20,5,1,1,1],[1,25,25,1,4,1,5,20,5,5,5,1,1,1],[1,7,1,1,7,1,1,
1],[1,12,3,1,2,4,2,4,9,3,1,3,6,12,4,6,6,6,2,2,1,4,4,3,9,3,3,1,2,1,3,2,4,2,3,6,
1,3,1,3,1,1,1,1],[1,18,9,1,2,4,2,4,27,6,9,18,6,6,12,6,2,2,1,4,4,9,18,6,2,6,6,
6,1,12,1,6,3,2,1,1],[1,12,27,1,2,4,2,4,27,3,3,9,6,12,4,18,6,36,18,36,2,2,1,4,
4,9,18,18,3,1,1,3,6,6,4,2,3,6,12,12,1,3,3,3,6,1,1,1,1],[1,9,3,27,1,2,4,2,4,27,
9,1,9,6,6,18,36,6,6,18,36,2,2,1,4,4,9,18,18,2,6,6,2,6,6,3,1,3,12,12,1,6,6,3,1,
1,1,1],[1,3,12,1,2,4,2,4,9,1,3,3,6,6,12,6,4,6,2,2,1,4,4,3,9,3,2,2,3,3,1,1,3,4,
6,2,1,3,1,3,1,1,1,1],[1,6,9,1,2,4,2,4,9,9,6,12,6,2,6,6,2,2,1,4,4,9,6,2,6,6,6,
2,4,1,1,6,1,2,1,1],[1,9,18,1,2,4,2,4,27,9,6,6,18,6,6,12,2,2,1,4,4,9,18,6,6,6,
2,1,6,12,1,6,3,1,2,1],[1,9,1,2,4,2,4,9,9,6,6,2,2,1,4,4,9,6,6,1,1,1,1,1],[1,9,
6,1,2,4,2,4,9,9,6,6,6,12,6,2,2,2,1,4,4,9,6,6,6,6,2,1,2,4,1,6,1,1,2,1],[1,9,1,
2,4,2,4,27,9,6,6,2,2,1,4,4,9,6,6,1,1,3,1,1],[1,27,12,1,2,4,2,4,27,9,3,3,18,36,
12,6,18,4,36,6,2,2,1,4,4,9,18,18,6,3,3,6,1,1,3,4,12,12,6,2,1,3,3,3,6,1,1,1,
1],[1,3,1,5,10,8,16,1,3,3,6,5,8,4,16,16,1,1,2,1,2,2,4,3,4,1,1,2,1,2,2,4,1],[1,
3,4,2,16,2,16,1,6,6,8,8,1,16,16,2,1,4,2,4,3,4,2,1,4,2,4,1],[1,4,5,3,15,20,1,3,
20,30,15,15,1,1,5,1,1,5,5,5,15,4,3,1,3,4,1,5,5,5,5,5,5,1,3,4,6,3,3,5,1,1,1,1,
1,1,1,3,1,1,1,1,1,1,1,1],[1,3,5,15,1,15,15,5,1,1,5,5,15,3,1,3,5,5,5,1,3,3,1,5,
1,1,1,3,1,1,1,1],[1,3,5,15,1,15,5,15,1,1,5,5,15,3,1,3,5,5,5,1,3,1,3,5,1,1,1,3,
1,1,1,1],[1,5,3,15,1,20,15,1,5,1,5,15,3,1,3,5,5,5,1,3,4,5,1,1,1,3,1,1,1,1],[1,
5,3,15,1,15,5,15,1,5,1,5,15,3,1,3,5,5,5,1,3,1,3,5,1,1,1,3,1,1,1,1],[1,1,5,5,1,
5,5,5,1,5,1,5,5,1,1,1,5,5,5,1,1,1,1,5,1,1,1,1,1,1,1,1],[1,1,5,5,1,5,15,15,1,5,
1,5,15,1,1,1,5,5,5,1,1,3,3,5,1,1,1,3,1,1,1,1],[1,3,5,15,1,15,20,1,5,1,5,15,3,
1,3,5,5,5,1,3,4,5,1,1,1,3,1,1,1,1],[1,1,5,5,1,5,15,15,1,5,1,5,15,1,1,1,5,5,5,
1,1,3,3,5,1,1,1,3,1,1,1,1],[1,7,5,35,1,35,3,45,1,5,2,10,1,5,15,7,1,7,10,5,1,
10,5,1,7,3,9,5,1,2,2,1,1,3,2,1,1,2,1,1],[1,3,5,15,1,15,5,15,1,5,1,5,15,3,1,3,
5,5,5,1,3,1,3,5,1,1,1,3,1,1,1,1],[1,1,5,5,1,5,10,1,5,1,5,5,1,1,1,10,5,1,1,2,5,
1,1,1,1,2,1,1],[1,3,5,15,1,1,15,15,1,5,3,15,5,3,1,3,15,1,15,1,1,3,3,5,1,3,3,1,
3,1,3,1],[1,1,5,5,1,5,30,1,5,1,5,15,1,1,1,5,10,1,1,6,5,1,1,1,3,1,2,1],[1,1,5,
5,1,5,3,15,1,5,1,5,15,1,1,1,5,1,5,1,1,3,3,5,1,1,1,3,1,1,1,1],[1,1,5,5,1,5,10,
1,5,1,5,5,1,1,1,5,10,1,1,2,5,1,1,1,1,1,2,1],[1,9,1,1,3,3,1,2,3,3,9,1,1,1,1,1,
3,3,1,2,3,3,1,1,1,1],[1,7,10,1,5,3,15,1,2,1,10,15,7,2,1,5,5,1,1,3,3,5,2,1,2,3,
1,1,1,1],[1,3,30,1,1,15,15,1,10,3,15,3,6,5,1,5,1,1,3,3,5,2,3,3,1,1,1,1],[1,1,
40,1,5,3,15,1,10,1,10,15,1,8,5,5,1,1,1,3,3,5,2,1,2,3,1,1,1,1],[1,3,5,15,4,1,
15,15,1,20,5,3,1,3,1,4,1,3,3,5,4,1,1,1],[1,9,4,1,3,3,1,4,3,9,1,4,1,3,3,1,4,3,
1,1],[1,3,30,4,1,15,15,1,20,15,3,6,1,4,1,3,3,5,4,3,1,1],[1,3,5,15,4,1,15,15,1,
20,5,3,1,3,1,4,1,3,3,5,4,1,1,1],[1,9,4,1,3,3,1,4,3,9,1,4,1,3,3,1,4,3,1,1],[1,
3,30,4,1,15,15,1,20,15,3,6,1,4,1,3,3,5,4,3,1,1],[1,3,5,15,4,15,1,15,1,20,5,3,
1,3,1,4,3,1,3,5,4,1,1,1],[1,9,4,3,1,3,1,4,3,9,1,4,3,1,3,1,4,3,1,1],[1,3,30,4,
15,1,15,1,20,15,3,6,1,4,3,1,3,5,4,3,1,1],[1,6,3,4,3,1,3,1,4,3,6,3,1,4,3,1,3,1,
4,3,1,1],[1,5,3,15,4,15,1,15,1,20,5,3,1,3,1,4,1,3,3,5,4,1,1,1],[1,3,30,4,1,15,
15,1,20,15,3,6,1,4,1,3,3,5,4,3,1,1],[1,3,5,15,1,15,20,1,5,1,5,15,3,1,3,5,5,5,
1,3,4,5,1,1,1,3,1,1,1,1],[1,15,10,10,15,5,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,
15,1,15,10,15,5,15,6,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,10,15,10,15,5,15,6,10,
10,10,15,6,10,5,6,5,1,1],[1,15,1,15,10,5,15,15,6,10,10,10,5,6,6,6,10,5,6,5,1,
1],[1,1,15,15,10,15,5,15,6,10,10,10,5,6,6,6,10,5,6,5,1,1],[1,25,10,5,15,15,6,
20,10,15,6,10,5,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,10,5,6,5,1,1],[1,
10,15,10,15,5,15,6,10,10,10,15,6,10,5,6,5,1,1],[1,1,15,15,10,15,5,15,6,10,10,
10,5,6,6,6,10,5,6,5,1,1],[1,15,10,10,5,15,15,6,10,10,10,15,6,10,5,6,5,1,1],[1,
10,15,10,15,5,15,6,10,10,10,15,6,10,5,6,5,1,1],[1,15,10,10,15,15,5,6,10,10,10,
15,6,5,10,6,5,1,1],[1,15,10,10,15,15,5,6,10,10,10,15,6,5,10,6,5,1,1],[1,3,1,7,
14,1,21,1,7,3,7,1,2,1,1,3,1,1],[1,21,1,7,14,7,21,1,7,3,7,1,2,1,1,3,1,1],[1,7,
1,7,14,7,7,14,1,7,1,7,1,2,1,1,2,1,1,1],[1,5,35,1,1,1,5,7,5,1,1,1],[1,8,3,3,9,
1,1,2,4,6,6,1,4,9,9,2,3,1,2,3,4,8,3,3,9,6,4,3,6,3,3,1,1,2,2,1,1,3,1,3,1,2,4,6,
6,9,1,9,4,2,2,3,2,1,2,3,3,1,1,1,1,1,1,1,2,4,3,6,3,3,1,2,2,3,1,1,3,1,1,1,3,1,1,
1,1,1,1,1,1],[1,15,9,27,1,1,2,21,45,1,3,3,27,3,5,9,9,6,3,2,3,9,6,6,18,3,9,9,9,
9,3,9,1,7,15,1,1,3,9,3,3,6,6,9,1,1,9,1,3,18,2,18,9,2,1,2,3,3,1,3,3,3,3,3,3,3,
3,3,3,3,1,3,6,1,2,2,3,1,1,3,1,1,3,3,1,1,1,1,1,1,1,1],[1,9,3,18,9,1,1,2,3,18,9,
18,1,3,9,9,9,2,3,3,6,9,6,1,6,3,3,12,6,3,9,9,3,9,9,9,1,1,6,6,1,1,9,3,9,3,3,6,6,
3,3,1,3,3,3,6,2,6,9,2,1,2,3,3,1,3,3,3,3,3,3,3,3,3,1,3,3,3,6,1,2,2,3,1,1,3,1,1,
3,3,1,1,1,1,1,1,1,1],[1,12,3,3,9,4,1,4,8,12,9,18,12,18,9,1,9,3,3,3,1,3,3,1,1,
12,16,8,9,4,18,9,3,4,3,3,6,3,3,3,3,1,3,3,1,3,2,1,12,3,4,4,4,3,1,3,3,3,1,1,4,2,
3,1,4,1,3,1,1,1,1],[1,20,7,3,21,12,1,1,2,28,15,42,36,54,21,3,27,9,5,7,1,5,7,3,
3,4,8,4,3,2,6,1,4,3,6,12,2,6,21,12,54,27,9,1,7,5,14,9,9,7,7,3,9,9,3,9,2,4,6,6,
12,12,8,12,8,12,3,4,6,6,3,3,1,6,3,6,6,9,2,1,1,1,2,2,2,1,1,1,1,7,3,9,9,9,3,3,3,
6,4,6,6,6,12,3,3,1,2,2,2,2,2,2,1,2,1,1,2,1,1,2,1,1,1,2,2,1,2,1,3,3,1,1,1,2,2,
2,2,1,1,1,1,1],[1,8,1,3,3,24,1,1,2,4,6,6,3,12,3,9,18,18,2,1,1,2,1,6,6,4,8,3,1,
8,3,2,12,3,12,18,9,9,1,1,2,2,1,1,3,3,3,3,6,6,2,4,6,6,3,6,4,1,3,6,6,6,9,2,1,2,
1,2,1,2,1,3,3,3,3,3,3,3,6,4,6,3,3,1,2,2,1,2,1,1,1,1,1,2,3,3,1,1,1,1,1,1,1,1],[
1,15,7,6,15,1,1,2,21,27,18,1,3,3,3,9,18,5,7,2,3,6,6,3,2,1,5,6,6,2,6,3,9,9,9,9,
3,9,1,7,9,6,1,1,3,3,3,6,3,6,6,3,6,1,1,3,3,1,6,6,6,2,9,2,1,2,1,1,2,2,1,3,3,3,3,
3,3,3,3,3,3,3,1,3,6,1,2,2,1,2,1,1,1,1,1,2,3,3,1,1,1,1,1,1,1,1],[1,9,1,24,21,1,
1,2,3,18,3,36,1,3,9,3,9,18,2,1,3,8,6,3,6,1,6,1,7,6,12,2,12,3,9,9,3,9,9,9,1,1,
6,6,1,1,3,3,3,3,6,6,3,6,6,1,6,3,3,3,1,1,6,6,6,2,9,2,1,2,1,2,2,1,1,3,3,3,3,3,3,
3,3,3,3,1,3,3,6,1,2,2,1,2,1,1,1,1,1,2,3,3,1,1,1,1,1,1,1,1],[1,9,9,21,1,4,8,9,
27,3,9,1,27,3,3,9,7,12,4,12,24,9,3,9,9,9,3,9,4,3,9,3,3,1,9,3,2,1,12,9,4,4,4,3,
1,3,3,3,3,3,3,6,1,3,1,4,3,3,1,1,1,1],[1,9,3,18,9,1,4,8,9,9,18,3,9,1,3,9,18,3,
3,6,1,6,12,12,4,24,9,3,9,9,9,3,9,4,3,3,6,3,3,1,3,3,6,2,1,12,9,4,4,4,3,1,3,3,3,
3,3,3,6,1,3,1,4,3,3,1,1,1,1],[1,4,3,3,9,12,1,4,8,3,12,18,1,9,9,12,9,18,1,3,1,
1,3,3,3,8,16,12,9,4,18,3,9,4,1,3,3,1,3,3,3,3,3,3,3,6,12,1,2,3,4,4,4,3,1,3,1,1,
3,3,2,4,3,4,1,1,3,1,1,1,1],[1,21,9,9,1,4,8,27,27,1,9,3,9,3,7,9,3,12,12,4,24,9,
9,9,3,9,3,9,4,9,9,1,3,3,3,3,12,1,2,9,4,4,4,3,3,3,1,3,3,3,3,3,1,6,4,1,3,3,1,1,
1,1],[1,9,3,18,9,1,4,8,3,18,9,18,1,3,9,9,9,1,3,6,6,3,12,4,12,24,3,9,9,3,9,9,9,
4,6,3,1,3,3,3,3,3,6,12,1,2,9,4,4,4,3,1,3,3,3,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,
12,3,3,9,36,1,1,2,9,36,54,1,9,9,36,27,54,3,3,1,3,3,9,9,4,3,3,12,9,6,6,18,27,
12,54,3,27,1,3,9,9,1,3,3,9,9,9,9,9,18,3,12,18,9,9,1,12,9,18,18,2,18,9,1,1,1,3,
3,3,3,9,3,9,1,3,9,9,9,4,18,3,9,6,1,3,3,3,3,3,3,1,3,3,3,6,3,3,3,1,3,1,3,1,3,
1],[1,12,1,3,3,12,1,1,2,9,12,18,4,3,3,9,9,3,1,1,3,1,3,3,4,3,1,4,3,6,2,6,9,12,
18,3,9,1,3,3,3,1,1,1,3,3,3,3,3,3,4,6,3,3,1,3,4,6,6,2,9,1,1,1,1,1,1,1,3,3,3,1,
3,3,3,3,4,6,3,3,6,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,11,3,18,27,1,
1,2,1,18,27,18,1,1,27,9,9,3,3,2,6,9,4,2,3,6,3,9,6,12,6,18,1,9,9,9,9,9,9,1,6,9,
1,1,1,9,3,3,6,2,1,12,12,6,6,9,3,1,9,3,1,18,6,2,18,6,2,9,1,2,2,3,3,3,3,3,1,3,3,
3,2,1,6,6,3,3,3,3,3,3,6,6,6,6,2,3,1,2,1,1,3,1,1,3,6,3,1,1,1,1,1,1,1,1],[1,11,
1,24,15,1,1,2,1,18,9,36,3,3,3,3,9,18,3,1,2,8,3,6,4,2,3,6,1,5,6,6,12,2,6,3,3,9,
9,9,9,9,1,6,3,6,1,1,1,3,3,3,6,6,2,1,12,12,6,6,3,6,3,1,3,1,3,6,6,6,9,1,2,2,1,1,
2,2,3,3,3,1,3,3,3,3,6,1,3,3,3,3,3,2,1,2,1,2,1,1,1,1,1,2,3,3,1,1,1,1,1,1,1,1],[
1,9,3,27,1,1,2,1,27,9,3,3,27,9,9,1,9,3,2,6,3,9,12,6,3,3,9,9,9,9,9,1,1,9,3,3,3,
9,3,6,9,1,6,3,1,9,1,3,6,2,6,9,1,2,2,3,3,1,3,3,3,3,3,3,3,3,3,1,3,3,3,6,2,3,1,2,
1,1,3,1,1,3,3,1,1,1,1,1,1,1,1],[1,7,3,21,24,1,1,2,4,21,3,12,27,18,18,7,1,7,6,
6,3,2,6,1,8,3,12,2,12,3,12,18,9,9,1,1,7,1,3,3,9,3,6,6,6,3,6,1,6,3,4,4,6,6,6,2,
9,1,2,2,1,2,1,2,1,3,3,3,3,3,3,3,3,3,4,6,6,2,1,2,1,2,1,1,1,1,1,2,3,3,1,1,1,1,1,
1,1,1],[1,5,9,9,1,1,2,7,15,1,1,3,9,3,9,5,9,4,2,1,2,3,3,6,1,3,3,3,3,3,3,1,1,7,
1,3,3,15,9,2,1,2,2,3,1,1,3,1,1,2,2,3,1,2,2,3,3,1,3,3,3,3,3,3,2,1,1,1,1,1,1,1,
2,3,1,2,1,1,3,1,1,3,1,1,1,1,1,1,1,1,1],[1,5,7,6,21,1,1,2,7,9,18,3,3,3,9,9,18,
7,5,2,6,3,4,2,1,2,1,7,6,2,12,3,3,9,9,9,9,9,1,1,7,1,3,3,9,3,6,6,2,1,2,2,1,6,1,
3,3,3,3,6,6,6,9,1,2,2,1,2,2,1,1,3,3,3,3,3,3,3,6,1,3,3,3,3,3,2,1,2,1,2,1,1,1,1,
1,2,3,3,1,1,1,1,1,1,1,1],[1,24,3,3,9,1,4,8,12,18,18,1,12,9,9,6,3,1,6,3,16,12,
24,12,9,18,3,9,4,3,6,6,1,3,3,3,3,3,12,1,2,9,4,4,4,3,3,3,1,3,3,3,4,3,6,4,1,3,3,
1,1,1,1],[1,19,3,18,3,1,4,8,9,18,3,18,1,9,3,9,9,6,3,1,6,3,8,4,12,12,24,24,9,9,
9,1,9,9,9,4,3,6,6,1,3,3,3,3,3,24,12,1,2,9,4,4,4,3,3,3,1,3,3,3,2,1,3,3,6,6,4,1,
3,6,3,1,1,1,1],[1,9,3,27,1,4,8,1,27,9,3,3,27,9,9,1,9,12,4,12,24,3,3,9,9,9,9,9,
4,1,9,3,3,3,9,3,12,1,2,9,4,4,4,1,3,3,3,3,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,7,9,
3,1,4,8,9,9,1,3,3,3,3,9,7,3,8,4,4,4,3,3,3,1,3,3,3,4,1,9,3,3,3,9,3,4,1,2,3,4,4,
4,3,3,1,3,3,3,3,2,1,1,1,4,1,3,1,1,1,1,1],[1,9,3,27,1,4,8,1,27,9,3,3,27,9,9,1,
9,12,4,12,24,3,3,9,9,9,9,9,4,1,9,3,3,3,9,3,1,2,12,9,4,4,4,1,3,3,3,3,3,3,3,1,3,
6,1,4,3,3,1,1,1,1],[1,9,3,27,1,4,8,3,27,27,1,3,9,9,9,1,9,12,4,12,24,9,3,9,3,9,
9,9,4,3,9,9,1,3,3,3,2,1,12,9,4,4,4,3,3,3,1,3,3,3,3,6,1,3,1,4,3,3,1,1,1,1],[1,
3,3,9,24,1,4,8,12,9,1,12,9,18,18,3,1,3,6,6,12,16,24,9,12,18,3,9,4,3,3,3,1,3,3,
3,6,6,2,1,12,9,4,4,4,3,3,3,1,3,3,3,3,6,4,1,4,3,3,1,1,1,1],[1,3,9,7,1,4,8,3,9,
3,3,1,9,3,9,3,7,4,8,4,4,3,1,3,3,3,3,3,4,3,3,3,1,3,9,9,2,1,4,3,4,4,4,3,3,3,1,3,
3,3,1,2,1,1,1,4,3,1,1,1,1,1],[1,3,3,18,19,1,4,8,3,3,18,9,9,1,9,9,18,3,3,6,6,1,
4,8,12,12,24,24,9,1,9,9,9,9,9,4,3,3,3,1,3,3,3,6,6,2,1,12,24,9,4,4,4,3,3,3,1,3,
3,3,1,2,6,6,3,3,1,4,3,3,6,1,1,1,1],[1,12,9,3,27,2,2,18,6,18,27,1,6,27,12,4,6,
6,18,6,6,18,9,6,18,9,9,1,6,12,12,2,2,2,18,18,6,2,18,18,9,4,3,1,3,6,6,6,2,6,6,
6,6,2,2,2,1,2,3,3,6,2,1,2,1,1,1],[1,12,9,1,9,12,2,2,18,6,18,9,18,9,9,6,18,12,
4,2,6,6,2,12,6,6,4,9,18,18,9,9,1,6,12,12,2,6,6,6,2,12,12,9,4,1,1,1,4,6,6,2,2,
2,1,2,2,1,1,2,1,2,2,1,1,1],[1,12,9,1,9,2,2,18,6,18,9,18,6,12,4,2,6,6,2,6,6,9,
9,9,1,6,12,12,2,6,6,6,2,9,4,1,1,1,6,6,2,2,2,1,2,2,1,1,1,1],[1,6,3,1,3,18,5,8,
3,18,18,1,3,3,18,9,18,24,2,5,3,6,3,8,9,6,18,1,9,4,12,1,6,6,3,3,1,6,3,6,1,2,3,
8,4,6,3,2,6,1,3,1,2,4,1,3,1,2,1,1],[1,9,21,9,5,8,21,27,1,3,9,9,9,18,5,18,3,3,
24,3,9,9,3,9,9,9,4,3,18,6,3,3,1,3,3,3,1,2,9,8,4,3,3,3,3,1,3,3,3,1,3,6,4,1,3,3,
1,1,1,1],[1,9,3,18,9,5,8,3,18,9,18,1,3,9,9,9,18,5,18,3,3,24,3,9,9,3,9,9,9,4,3,
18,6,3,3,1,3,3,3,1,2,9,8,4,3,3,3,3,1,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,9,3,18,9,
1,4,8,3,18,9,18,1,3,9,9,9,12,6,1,6,3,3,4,12,24,3,9,9,3,9,9,9,4,3,12,6,6,3,3,1,
3,3,3,1,2,9,4,4,4,3,3,3,3,1,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,24,3,3,9,4,1,8,18,
12,18,9,1,12,9,16,12,6,6,3,1,3,24,9,12,18,3,9,4,12,3,6,6,3,1,3,3,3,3,1,2,9,4,
4,4,3,3,3,3,3,1,3,3,4,6,4,1,3,3,1,1,1,1],[1,18,1,3,3,18,4,1,8,9,18,18,3,1,9,3,
9,9,12,4,12,6,3,1,6,3,24,8,24,9,9,9,1,9,9,9,4,12,3,6,6,1,3,3,3,3,3,24,1,2,9,4,
4,4,3,3,3,1,3,3,3,1,2,3,3,6,6,4,1,3,3,6,1,1,1,1],[1,12,1,3,3,4,1,8,6,6,6,3,1,
6,3,8,4,12,3,1,3,8,3,6,6,1,3,4,4,6,6,6,1,6,3,3,1,2,3,8,4,3,6,6,1,3,1,2,2,4,1,
3,1,2,1,1],[1,6,3,3,9,18,4,1,8,3,18,18,9,1,3,9,9,9,4,12,12,6,3,1,3,6,24,3,9,9,
3,9,9,9,4,12,3,6,6,1,3,3,3,3,3,1,2,9,4,4,4,3,3,3,1,3,3,3,3,1,3,6,4,1,3,3,1,1,
1,1],[1,7,3,21,4,1,8,21,3,27,1,21,18,28,3,2,6,1,3,8,7,9,27,4,12,1,6,6,3,3,1,6,
3,6,1,2,3,8,4,2,1,3,6,3,7,2,4,1,1,3,2,1,1],[1,3,3,9,4,1,8,1,9,9,1,9,6,12,3,3,
9,24,3,3,9,4,4,1,9,9,1,9,6,8,1,2,1,12,3,3,9,3,6,4,1,1,1,2,3,1],[1,1,3,3,36,4,
1,8,3,18,1,3,18,18,18,4,24,3,1,12,3,8,48,1,9,9,18,18,4,12,1,3,6,3,6,6,6,24,1,
2,9,4,8,1,6,3,3,6,1,2,6,12,4,1,3,3,6,1,2,1],[1,1,3,3,4,1,8,3,3,9,1,3,4,3,1,3,
8,1,9,9,4,12,1,3,3,1,3,1,2,3,4,1,3,3,1,2,4,1,1,3,1,1],[1,1,3,3,4,1,8,6,3,1,3,
6,4,3,1,3,8,3,1,3,4,4,1,3,3,6,6,1,2,3,4,1,3,3,1,2,4,1,3,1,1,1],[1,9,3,27,12,2,
2,27,18,1,27,6,6,18,6,6,18,6,12,6,18,4,9,9,9,6,18,1,2,18,18,2,6,6,18,18,2,2,
12,12,9,3,1,3,4,6,6,6,2,6,6,6,6,1,3,3,2,2,2,2,6,1,2,1,1,2,1],[1,9,3,27,2,2,27,
9,27,1,27,6,6,18,6,6,18,9,27,27,1,2,18,18,2,18,18,9,3,1,3,6,6,1,3,3,1,3,1,3,3,
1],[1,3,3,9,5,8,1,9,9,1,9,6,15,3,9,24,3,3,9,4,5,9,9,1,9,6,1,2,8,1,12,3,3,9,3,
6,4,1,1,1,2,3,1],[1,3,3,9,1,16,32,1,9,9,1,9,6,3,3,9,3,3,9,16,1,9,9,1,9,6,4,8,
4,8,12,24,1,3,3,9,4,4,12,1,1,2,1],[1,9,1,9,12,2,2,9,18,18,6,6,18,2,6,6,2,12,6,
6,4,9,9,9,1,2,6,6,6,6,2,12,12,9,1,1,1,4,6,6,2,1,2,2,2,2,1,1,1,1],[1,9,1,9,2,2,
9,9,9,6,6,2,6,6,2,6,6,9,9,9,1,2,6,6,6,6,2,9,1,1,1,6,6,2,1,2,1,1,1,1,1,1],[1,3,
1,3,5,8,1,3,3,3,9,5,3,3,8,1,9,9,4,1,12,3,3,1,3,1,2,3,4,3,1,3,1,2,4,1,1,3,1,
1],[1,12,3,1,3,5,8,6,6,6,1,6,3,3,12,8,5,3,3,8,6,3,6,1,3,4,6,6,6,4,3,1,3,6,1,2,
3,8,4,6,3,6,1,3,2,1,2,4,1,3,1,1,2,1],[1,21,1,21,5,8,1,21,3,9,9,27,9,5,18,18,3,
3,8,24,24,1,9,9,9,9,9,9,4,18,3,3,6,3,1,3,3,3,1,2,24,9,4,4,4,3,1,3,3,3,3,3,1,3,
3,2,6,6,4,1,3,3,6,1,1,1,1],[1,3,1,39,5,8,1,3,3,18,18,18,18,5,36,3,3,8,48,1,18,
9,9,18,4,18,3,6,6,1,3,6,1,2,24,9,4,8,3,1,3,6,6,1,6,2,12,4,1,3,3,6,1,2,1],[1,3,
1,3,5,8,1,3,3,6,6,5,3,3,8,1,3,3,4,4,6,3,1,3,6,1,2,3,4,3,1,3,1,2,4,1,3,1,1,1],[
1,9,3,18,9,4,1,8,3,18,9,18,1,3,9,9,9,6,12,4,12,1,6,3,3,24,3,9,9,3,9,9,9,4,3,6,
6,12,3,3,1,3,3,3,1,2,9,4,4,4,3,3,3,3,1,3,3,3,1,3,6,4,1,3,3,1,1,1,1],[1,3,3,9,
4,4,32,1,9,9,1,9,6,12,12,3,3,9,16,4,4,1,8,1,8,24,1,3,3,4,4,1,1,2,1],[1,3,3,9,
4,4,32,1,9,9,1,9,6,12,12,3,3,9,16,4,4,1,8,1,8,24,1,3,3,4,4,1,1,2,1],[1,3,3,9,
4,4,32,1,9,9,1,9,6,12,12,3,3,9,16,4,1,8,1,4,8,24,1,3,3,4,4,1,1,2,1],[1,3,3,9,
20,4,16,1,9,9,1,9,6,12,12,3,3,9,16,4,4,1,4,5,4,4,12,12,1,3,3,4,4,1,1,1,1,1],[
1,3,3,9,4,4,32,9,1,9,1,9,6,12,12,3,3,9,16,4,8,1,1,4,8,24,1,3,3,4,4,1,2,1,1],[
1,3,3,9,24,4,1,8,9,18,1,9,12,12,18,12,16,3,6,1,3,6,24,3,9,9,12,18,4,12,1,1,2,
3,3,3,3,3,3,6,6,9,4,4,4,3,4,3,1,3,6,3,3,3,3,4,1,3,3,1,1,1,1],[1,2,5,3,15,10,1,
10,10,10,15,5,15,1,1,15,5,5,10,1,1,5,5,10,10,5,5,5,15,5,15,5,5,2,3,1,3,2,5,5,
5,5,5,5,5,1,2,2,1,1,3,3,1,1,2,1,3,2,5,1,1,1,2,2,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,
1],[1,5,5,25,1,25,15,1,1,15,5,15,15,10,1,5,1,5,15,5,5,5,25,15,5,5,5,1,5,5,5,5,
5,5,5,5,1,5,3,1,1,3,1,3,3,2,5,1,1,1,3,1,1,1,5,3,1,1,1,1,1,1,1,1,1,1],[1,3,42,
4,1,21,21,28,1,21,1,3,6,4,7,1,3,3,4,3,1,1],[1,3,14,7,1,7,7,21,14,1,7,7,7,7,3,
2,1,7,1,1,1,3,2,1,1,1,1,1],[1,21,28,7,7,21,28,8,21,7,7,8,7,7,1],[1,5,2,2,15,1,
10,10,1,1,5,15,2,2,5,3,2,2,5,1,1,3,1,1],[1,9,5,45,2,2,45,1,10,6,30,10,6,30,1,
9,1,9,30,30,2,2,5,1,5,9,2,6,6,2,6,6,5,1,6,6,1,1,1,1],[1,5,2,2,15,1,10,10,1,1,
15,5,2,2,5,3,2,2,5,1,3,1,1,1],[1,9,2,2,9,1,6,6,1,9,2,2,1,9,6,6,1,1,1,1],[1,9,
2,2,45,1,6,6,1,9,2,2,1,9,6,6,5,1,1,1],[1,3,5,8,1,1,3,4,3,1,1,2,5,8,1,3,1,4,1,
1,2,1],[1,15,1,10,20,5,6,15,10,10,6,5,10,5,6,10,6,5,1,1],[1,15,1,10,20,5,6,15,
10,10,6,5,5,10,6,10,6,5,1,1],[1,15,10,1,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,
1],[1,15,10,1,20,5,6,10,15,10,6,5,5,10,6,10,6,5,1,1],[1,10,9,3,27,18,1,14,5,
14,30,30,1,2,27,9,3,18,3,27,9,1,5,27,9,9,6,2,18,18,4,2,3,2,6,3,6,9,2,7,2,6,6,
18,6,5,14,15,15,4,6,6,18,6,3,3,9,1,6,6,9,7,9,1,9,9,9,27,15,9,9,9,9,18,9,15,18,
12,2,2,2,4,4,4,4,1,6,6,1,1,6,6,2,9,3,9,3,1,6,3,6,1,6,9,1,3,2,6,6,2,1,6,6,7,1,
3,3,9,3,6,6,15,9,3,3,9,3,1,1,9,9,3,1,1,3,3,3,3,9,3,3,3,3,9,9,9,3,3,3,2,1,2,2,
2,2,2,2,2,2,2,2,2,4,4,1,2,3,3,2,6,2,2,2,3,3,2,3,3,3,6,2,3,2,1,3,3,9,3,3,1,3,1,
6,1,2,3,3,2,3,6,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,2,2,1,1,1,1,1,1,2,2,2,2,2,2,
3,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,3,1,3,1,3,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,6,9,3,27,14,4,6,3,6,18,18,3,6,27,27,1,18,3,9,9,1,3,27,7,7,18,
6,18,6,12,8,4,12,8,6,3,6,2,6,6,6,3,6,9,9,12,6,6,18,6,9,3,9,3,6,6,9,3,27,3,3,9,
9,9,9,9,9,9,9,18,7,9,18,12,1,4,4,4,12,12,4,4,8,8,3,6,6,3,3,1,3,3,3,6,6,9,3,3,
3,9,3,3,3,9,9,3,3,3,3,3,3,1,9,3,1,3,3,9,9,9,3,3,3,2,3,1,2,3,4,4,4,4,4,4,4,3,3,
3,1,3,3,3,3,3,3,3,3,3,3,3,1,2,2,1,1,3,1,3,1,4,3,1,1,1,1,1,1,1,1],[1,14,9,3,27,
6,4,18,7,18,18,18,1,6,27,9,3,6,3,27,9,1,7,27,3,3,6,6,6,18,8,8,12,4,12,6,9,6,6,
6,18,6,7,18,9,9,12,2,6,6,6,3,3,9,3,6,6,9,9,9,3,9,3,9,27,9,9,3,9,9,18,3,9,6,12,
4,8,8,4,4,4,12,12,4,1,3,6,6,9,3,3,3,9,3,6,6,9,9,1,3,3,3,1,3,9,9,1,3,3,3,3,3,3,
3,3,3,3,3,9,3,9,3,3,3,4,4,4,2,4,4,4,4,2,3,1,3,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,4,
1,2,2,1,1,1,3,3,1,3,1,1,1,1,1,1,1,1],[1,18,5,3,15,18,4,18,9,18,30,30,1,6,15,9,
1,18,1,9,3,1,9,15,9,9,6,6,18,6,12,20,12,6,9,6,6,6,18,6,9,18,15,15,12,6,6,18,6,
3,1,3,3,6,6,5,9,9,3,3,9,3,9,15,3,9,3,3,6,9,15,18,12,12,20,4,4,4,12,4,1,3,6,6,
9,3,3,3,9,3,6,6,15,9,3,3,9,3,1,3,3,3,3,3,3,3,3,3,1,9,1,3,3,3,3,9,3,3,3,3,4,4,
4,4,4,4,4,5,3,3,3,3,3,3,3,3,3,3,3,3,3,1,3,3,3,4,1,3,1,5,1,3,1,3,1,1,1,1,1,1,1,
1],[1,5,5,25,25,5,25,1,4,1,25,5,5,1,5,20,1,5,5,5,5,5,1,5,1,5,5,1,1,1,1,1,1,
1],[1,5,5,25,25,50,1,4,1,25,5,5,1,5,20,1,5,5,5,10,20,10,1,5,5,1,1,1,1,1,1,1],[
1,5,5,25,25,5,25,1,4,1,25,5,5,1,5,20,1,5,5,5,5,5,1,5,1,5,5,1,1,1,1,1,1,1],[1,
5,7,1,35,1,1,5,7,1,7,1,5,1,1,1],[1,24,9,3,27,1,2,4,2,4,36,18,54,27,6,9,1,6,9,
12,24,8,6,6,18,12,36,6,6,18,36,27,2,2,1,4,4,9,6,18,9,9,18,36,24,36,6,18,18,6,
2,2,2,6,6,6,2,6,6,8,4,3,1,3,12,12,12,9,18,1,6,6,6,2,6,6,6,6,6,4,6,12,3,2,1,2,
1,1,6,3,2,1,2,1,1,1],[1,18,9,18,1,2,4,2,4,27,27,9,6,9,6,18,6,6,12,18,6,6,12,
27,2,2,1,4,4,9,9,9,18,18,6,2,6,6,6,2,6,1,6,12,12,9,1,6,6,3,3,1,2,1,2,3,1,1,1,
1],[1,18,9,6,1,2,4,2,4,27,9,27,6,9,6,18,6,6,12,6,12,6,2,27,2,2,1,4,4,9,9,9,18,
6,6,2,6,6,6,2,6,1,2,12,4,9,1,6,6,3,1,3,2,1,2,3,1,1,1,1],[1,9,3,27,1,5,10,8,16,
27,1,27,3,3,9,36,3,3,9,6,6,18,9,5,8,4,16,16,9,1,9,9,1,9,18,2,18,1,2,2,4,12,1,
3,3,12,24,3,9,3,6,4,3,1,3,1,2,1,2,2,4,4,3,1,3,6,1,1],[1,9,3,27,24,1,2,4,2,4,
27,36,18,54,9,1,9,6,6,6,6,18,36,6,24,12,6,18,8,36,12,27,2,2,1,4,4,9,9,9,6,18,
18,18,18,6,24,36,36,2,6,6,2,6,6,6,6,2,2,3,1,3,8,12,12,12,4,9,18,1,6,6,6,2,6,6,
6,6,3,6,4,6,12,1,1,1,2,2,6,3,1,2,1,1,2,1],[1,9,3,27,1,2,4,2,4,27,9,27,9,1,9,6,
6,18,36,6,6,18,36,27,2,2,1,4,4,9,9,9,18,18,2,6,6,2,6,6,3,1,3,12,12,9,1,6,6,3,
1,3,1,1,1,3,1,1,1,1],[1,3,3,9,1,5,10,8,16,1,9,9,3,1,3,15,3,9,6,24,3,5,8,4,16,
16,1,3,3,9,1,9,2,1,2,2,4,5,3,3,8,12,1,3,3,6,4,3,1,3,1,2,1,2,2,4,4,1,1,2,3,1,
1],[1,6,9,18,1,2,4,2,4,9,27,27,9,6,6,12,6,2,6,18,6,6,12,27,2,2,1,4,4,9,9,9,6,
18,2,6,6,6,6,2,2,4,1,6,12,9,1,6,6,1,3,3,2,1,2,3,1,1,1,1],[1,6,9,6,1,2,4,2,4,9,
9,9,9,6,6,12,6,2,6,6,12,6,2,9,2,2,1,4,4,9,9,9,6,6,2,6,6,6,6,2,2,4,1,2,4,9,1,6,
6,1,1,1,2,1,2,1,1,1,1,1],[1,3,3,9,1,5,10,8,16,9,1,9,3,3,9,24,12,1,3,3,6,3,5,8,
4,16,16,1,9,9,3,1,3,2,1,2,2,4,1,12,3,3,4,8,3,6,3,1,4,3,1,3,1,2,1,2,2,4,4,1,3,
1,2,1,1],[1,18,3,1,5,10,8,16,9,1,9,6,3,18,12,3,24,6,9,5,8,4,16,16,3,1,3,9,1,9,
2,1,2,2,4,6,4,3,12,24,3,9,3,6,4,3,1,3,1,2,1,2,2,4,4,3,1,3,6,1,1],[1,21,1,5,10,
8,16,1,9,9,21,18,3,6,24,9,5,8,4,16,16,1,9,9,3,1,3,2,1,2,2,4,18,3,24,4,9,3,3,6,
4,3,1,3,1,2,1,2,2,4,4,3,3,6,1,1,1],[1,6,3,1,5,10,8,16,3,1,3,3,6,12,6,4,3,6,3,
5,8,4,16,16,1,3,3,6,3,1,3,2,6,1,2,2,4,4,6,3,4,8,3,6,3,1,4,3,1,3,1,2,1,2,2,4,4,
3,1,1,2,1,1],[1,3,54,1,5,10,8,16,1,27,27,3,18,54,3,108,6,72,144,27,5,8,4,16,
16,1,9,9,9,1,9,18,2,18,1,2,2,4,18,3,24,12,48,48,9,9,18,9,18,18,36,4,3,1,3,1,2,
1,2,2,4,4,3,3,6,3,6,6,12,1,1],[1,18,3,4,2,16,2,16,9,1,9,12,18,6,6,24,6,9,8,8,
1,16,16,9,3,2,3,9,1,4,2,4,12,4,6,3,24,9,3,3,6,4,3,2,1,4,3,2,4,4,3,1,3,6,1,1],[
1,9,3,27,4,2,16,2,16,27,1,27,36,6,6,18,6,6,18,9,8,8,1,16,16,2,18,18,1,4,2,4,
18,18,24,24,3,1,3,6,9,6,4,2,1,4,3,3,2,4,4,6,1,6,1,1],[1,3,18,4,2,16,2,16,1,9,
9,12,6,6,18,6,24,9,8,8,1,16,16,2,1,4,2,4,9,9,3,3,12,4,3,6,24,3,9,3,6,4,2,1,4,
3,3,2,4,4,3,3,1,6,1,1],[1,4,5,3,15,20,1,3,20,30,20,15,5,15,15,1,1,5,1,1,5,5,5,
15,20,30,15,15,4,3,1,3,4,1,5,5,5,5,5,5,5,5,5,5,1,15,3,4,6,3,3,4,1,3,5,5,5,5,5,
5,5,1,1,1,1,1,1,1,3,4,6,3,3,5,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,7,5,
35,1,35,3,45,25,15,1,5,2,10,1,5,35,15,45,7,1,7,5,10,10,5,5,1,10,5,1,15,7,3,9,
5,3,10,5,5,10,5,1,2,2,1,1,7,3,9,5,1,2,2,1,1,1,2,1,3,2,1,1,2,1,1],[1,3,5,15,1,
1,15,15,15,45,1,5,3,15,5,45,45,3,1,3,5,15,15,1,15,1,15,1,3,3,3,9,15,5,15,1,3,
3,1,9,9,5,1,3,3,1,3,3,3,1,3,1],[1,1,5,5,1,5,3,15,15,15,10,1,5,1,5,5,15,15,1,1,
1,5,5,5,1,5,10,1,15,1,3,3,3,3,2,5,5,5,1,1,1,1,3,3,5,1,1,1,1,1,2,3,1,1,1,1],[1,
9,5,45,1,1,45,15,3,3,45,15,1,5,2,10,3,15,5,3,15,15,15,15,15,9,1,9,10,15,1,10,
5,1,15,1,5,1,15,1,9,3,3,3,9,3,5,5,5,1,5,5,5,1,2,2,3,3,1,3,3,3,3,3,3,5,2,3,1,2,
1,1,3,1,1,3,1,1,1,1,1,1,1,1],[1,7,5,35,1,35,3,45,30,10,1,5,2,10,1,5,5,15,15,7,
1,7,10,5,10,1,10,5,10,1,15,7,3,9,6,2,5,5,5,1,2,2,1,1,1,3,3,5,2,1,2,1,2,1,2,3,
1,1,1,1],[1,3,5,15,1,1,15,15,10,10,1,5,3,15,5,5,5,3,1,3,10,15,1,15,10,1,5,1,3,
3,2,2,5,5,5,1,3,3,1,1,1,5,2,3,1,3,2,1,1,1,1,1],[1,1,5,5,1,5,3,15,10,30,1,5,1,
5,5,15,15,1,1,1,10,5,10,1,5,1,15,1,3,3,2,6,5,5,5,1,1,1,1,3,3,5,2,1,2,1,1,3,1,
1,1,1],[1,3,5,15,4,1,15,15,30,30,1,20,5,15,15,3,1,3,20,1,4,15,1,3,3,6,6,5,4,1,
3,3,5,4,1,3,1,1],[1,9,5,45,4,1,45,15,3,3,45,15,1,20,4,20,5,3,15,15,15,15,15,9,
1,9,20,1,4,15,1,9,3,3,3,9,3,5,1,5,4,4,4,1,3,3,3,3,3,3,5,4,1,3,1,1,1,1],[1,3,5,
15,4,1,15,15,5,15,1,20,5,15,15,3,1,3,20,1,4,5,1,3,3,1,3,5,4,1,3,3,5,4,1,1,1,
1],[1,9,5,45,4,1,45,15,3,3,45,15,1,20,4,20,5,3,15,15,15,15,15,9,1,9,1,20,4,15,
1,9,3,3,3,9,3,5,1,5,4,4,4,1,3,3,3,3,3,3,5,1,4,3,1,1,1,1],[1,3,5,15,4,15,1,15,
15,5,1,20,15,5,15,3,1,3,1,20,4,5,3,1,3,3,1,5,4,3,1,3,5,1,4,1,1,1],[1,9,5,45,4,
3,45,45,1,3,15,15,1,20,4,20,15,3,15,5,15,15,15,9,1,9,1,20,4,15,3,9,9,1,3,3,3,
5,1,5,4,4,4,3,3,3,1,3,3,3,5,1,4,3,1,1,1,1],[1,3,5,15,4,15,1,15,30,30,1,20,15,
5,15,3,1,3,1,20,4,15,3,1,3,6,6,5,4,3,1,3,5,1,4,3,1,1],[1,6,5,3,15,30,4,3,30,
30,15,1,3,15,15,15,1,4,20,20,3,15,15,5,15,15,15,6,3,1,3,6,20,1,4,15,3,6,6,1,3,
3,3,3,3,5,1,5,4,4,4,3,3,3,1,3,3,3,5,4,1,3,1,1,1,1],[1,5,3,15,4,30,15,1,15,30,
1,20,15,5,15,3,1,3,20,1,4,15,1,3,3,6,6,5,4,1,3,3,5,4,1,3,1,1],[1,5,3,15,4,15,
5,15,1,15,1,20,5,15,15,3,1,3,20,1,4,5,1,3,3,1,3,5,4,1,3,3,5,4,1,1,1,1],[1,15,
1,15,20,10,30,15,5,30,15,10,30,6,10,20,10,10,20,15,30,30,5,15,6,6,6,5,10,10,
10,20,20,15,6,12,5,10,10,6,5,1,2,1,1],[1,15,3,45,10,45,5,45,1,45,30,6,30,10,
30,15,15,45,18,6,18,5,10,30,30,5,6,18,18,15,10,6,5,1,3,1],[1,15,1,15,10,15,5,
15,10,30,6,10,10,10,15,5,15,6,6,6,5,10,10,10,15,6,12,5,10,6,5,1,1,1],[1,20,15,
1,15,10,30,10,30,5,30,15,15,6,20,20,10,10,10,30,15,30,5,15,6,6,6,10,20,20,10,
10,5,15,6,12,10,10,5,6,5,1,2,1,1],[1,11,25,15,10,25,45,5,15,15,15,15,6,20,10,
20,10,10,15,15,15,5,15,15,15,6,6,6,10,20,20,10,10,5,15,6,6,6,10,5,5,5,6,5,1,1,
1,1,1],[1,11,15,10,15,10,15,10,15,30,5,15,15,15,15,6,20,10,10,10,10,10,15,15,
15,5,15,15,15,6,6,6,10,10,10,10,10,10,10,5,15,6,6,6,10,5,5,5,6,5,1,1,1,1,1],[
1,15,3,45,10,5,45,45,1,45,30,6,30,10,30,15,15,45,18,6,18,10,30,30,5,5,6,18,18,
10,15,6,5,1,3,1],[1,15,1,15,10,5,15,15,10,30,6,10,10,10,5,15,15,6,6,6,10,10,
10,5,15,6,12,10,5,6,5,1,1,1],[1,2,15,1,15,30,10,1,30,30,5,15,15,30,15,30,6,20,
10,10,10,20,15,10,30,5,15,12,6,6,6,12,10,20,20,10,10,5,5,6,12,12,6,6,10,10,5,
6,5,1,1,2,1],[1,25,1,25,10,5,25,15,15,15,45,15,6,10,20,20,10,10,5,15,15,15,15,
15,15,6,6,6,20,10,10,20,10,5,15,6,6,6,10,5,5,5,6,5,1,1,1,1,1],[1,15,1,15,10,5,
15,15,1,15,6,10,10,10,5,15,15,6,6,6,10,10,10,5,5,6,6,6,10,5,6,5,1,1,1],[1,15,
1,35,10,5,15,15,30,30,10,30,6,10,10,30,20,5,30,15,15,30,6,6,6,10,10,10,20,20,
5,15,6,12,10,5,10,6,5,1,1,2,1],[1,20,1,15,15,10,10,30,30,15,5,30,15,6,20,10,
10,20,10,15,30,30,5,15,6,6,6,10,20,20,10,10,5,15,6,12,10,5,10,6,5,1,2,1,1],[1,
10,1,15,15,10,10,15,10,30,15,5,15,15,15,15,6,10,10,10,10,10,10,10,15,15,15,5,
15,15,15,6,6,6,10,10,10,10,10,10,10,5,15,6,6,6,10,5,5,5,6,5,1,1,1,1,1],[1,3,
15,45,10,1,45,45,5,45,30,6,30,10,30,15,15,45,18,6,18,10,30,30,5,5,6,18,18,10,
15,6,5,1,3,1],[1,1,15,15,10,10,15,5,15,30,6,10,10,10,15,5,15,6,6,6,10,10,10,5,
15,6,12,10,5,6,5,1,1,1],[1,3,15,45,10,45,1,45,5,45,30,6,30,10,30,15,15,45,18,
6,18,30,10,30,5,5,18,6,18,10,15,6,5,1,3,1],[1,1,15,15,20,10,15,10,5,15,30,30,
30,6,10,10,10,20,20,5,15,15,30,30,6,6,6,10,10,10,20,20,5,15,6,12,10,5,10,6,5,
1,1,2,1],[1,1,15,15,10,15,1,15,5,15,6,10,10,10,5,15,15,6,6,6,10,10,10,5,5,6,6,
6,10,5,6,5,1,1,1],[1,3,28,1,7,14,21,1,7,7,21,28,14,1,7,7,21,3,4,7,7,7,1,2,1,3,
7,1,1,1,3,2,4,1,1,3,1,1,1,1],[1,3,4,7,56,1,21,1,28,1,7,14,3,4,8,1,1,7,3,4,1,2,
1,1],[1,20,9,3,27,36,1,1,2,28,15,42,60,90,1,4,27,9,3,36,3,27,9,27,54,5,9,1,5,
9,9,9,4,8,4,3,2,6,3,12,9,6,12,6,18,4,21,6,12,12,54,18,45,12,12,54,18,3,3,9,3,
12,18,9,27,9,9,9,1,7,5,14,15,15,1,1,9,7,3,1,3,9,3,15,9,9,3,9,15,18,2,4,6,6,12,
12,8,12,8,12,3,12,18,6,9,9,1,6,3,1,12,9,1,3,4,18,18,6,2,18,6,2,3,12,18,9,9,18,
18,9,9,9,9,2,1,1,1,2,2,2,3,3,3,3,1,7,1,3,3,9,3,15,9,3,3,9,3,1,1,3,3,3,1,1,3,3,
3,3,9,3,3,3,3,3,9,3,3,3,3,2,4,3,6,6,6,4,4,6,6,6,6,12,9,4,18,4,6,3,3,9,3,3,1,4,
3,3,6,3,6,6,6,6,9,1,2,2,2,2,2,2,1,2,3,3,2,3,3,2,3,3,1,2,2,1,2,1,1,3,3,3,1,1,1,
1,6,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,4,6,3,3,6,6,3,3,3,3,1,1,1,1,1,1,1,2,2,2,
2,3,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,12,9,3,27,28,1,4,8,12,9,18,36,54,3,12,27,27,1,36,3,9,9,21,
54,3,9,1,3,9,7,7,12,16,8,4,12,16,24,24,12,9,18,4,12,18,18,27,12,12,54,18,9,3,
9,9,12,18,3,27,9,9,9,4,3,3,6,9,9,3,3,9,3,9,3,1,9,3,9,3,9,3,7,9,18,2,1,12,12,
12,16,24,24,9,12,18,3,9,18,18,9,9,9,9,4,4,4,4,4,4,4,3,3,3,1,3,3,3,9,3,3,3,9,3,
3,3,3,3,3,3,3,3,3,3,1,9,3,1,3,3,3,9,3,3,3,3,4,2,3,6,6,1,4,3,12,9,1,4,4,4,4,4,
4,4,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,4,6,6,3,3,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,
1,1],[1,28,9,3,27,12,1,4,8,36,21,54,36,54,1,12,27,9,3,12,3,27,9,9,18,7,9,1,7,
9,3,3,8,16,16,12,4,12,24,24,12,27,18,12,12,54,18,27,4,12,18,18,3,3,9,9,12,18,
9,9,9,9,9,4,9,7,18,9,9,1,3,9,9,3,3,3,3,3,9,9,3,3,3,9,6,12,24,16,24,12,12,1,2,
9,12,18,9,9,18,18,3,9,9,9,4,4,4,4,4,4,4,3,9,3,3,3,9,3,9,9,1,3,3,3,1,3,3,1,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,12,2,4,4,3,1,3,6,6,9,4,4,4,4,4,4,4,1,3,3,3,3,
3,3,3,1,3,3,3,3,3,3,3,3,6,4,6,3,3,4,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,12,
9,3,27,12,2,2,18,6,18,27,18,9,27,1,6,27,6,6,18,12,4,6,6,18,6,12,6,18,4,9,18,
18,6,18,9,9,9,27,27,9,6,18,1,6,12,12,2,2,2,18,18,6,2,6,6,18,18,2,2,12,12,9,9,
9,9,9,9,9,4,3,1,3,4,6,6,6,2,6,6,6,6,6,2,6,6,6,6,9,2,2,2,1,2,3,3,2,2,2,1,3,2,6,
6,2,1,2,2,2,1,2,1,1,3,1,3,2,1,1,1,1,1,1,1,1],[1,6,3,3,9,18,5,8,3,18,18,1,9,9,
18,1,3,9,9,9,6,18,24,2,15,3,6,9,24,3,9,9,6,18,3,3,9,9,9,9,9,9,18,4,12,1,6,6,5,
1,12,9,3,9,3,1,6,9,6,6,1,2,8,9,3,9,1,3,9,9,8,12,12,6,1,3,3,2,6,3,3,3,3,3,3,9,
3,6,3,6,3,4,4,4,1,3,3,1,3,1,3,1,3,1,3,2,4,2,3,3,1,1,1,1,1],[1,18,21,1,21,18,5,
8,42,9,42,54,54,1,6,21,3,9,18,9,27,9,9,18,36,10,5,18,18,3,6,3,8,24,24,6,21,6,
18,18,54,18,27,6,18,18,18,1,9,9,3,18,18,9,9,9,9,9,4,6,18,6,36,36,12,12,5,6,6,
18,3,3,3,6,3,1,6,3,3,3,6,6,1,2,24,3,18,18,9,9,18,18,3,9,9,9,16,4,4,4,6,3,6,6,
6,6,6,18,6,12,6,3,2,6,6,6,3,1,3,3,3,3,6,3,3,6,3,2,1,3,3,2,6,6,9,8,8,8,4,1,3,6,
6,3,3,6,6,3,6,6,1,3,3,3,1,3,6,4,2,1,2,1,1,3,3,1,2,2,1,1,1],[1,6,3,1,39,18,5,8,
3,18,18,1,3,3,18,18,18,6,18,9,6,18,18,24,2,5,36,3,6,3,8,48,18,9,6,18,1,18,3,3,
9,9,9,18,18,36,4,12,1,6,6,4,18,6,3,3,6,6,1,6,3,6,6,6,1,2,24,9,3,9,3,9,9,9,8,4,
8,12,6,6,3,2,6,3,6,3,1,3,3,3,6,6,12,1,6,2,12,9,4,4,4,1,3,3,1,3,3,3,3,3,1,3,6,
4,2,1,2,3,3,1,1,1,1],[1,30,7,3,21,18,4,1,8,42,15,42,54,54,21,3,27,1,15,21,9,9,
18,20,28,12,12,6,3,2,6,1,6,3,24,8,24,21,18,54,15,42,27,27,7,21,9,27,27,9,27,4,
28,36,12,6,6,6,12,12,12,12,3,6,6,1,3,6,6,6,3,3,3,3,1,6,3,6,24,1,2,21,9,27,27,
27,3,9,8,4,8,4,4,12,3,6,6,6,6,6,6,6,6,12,3,6,3,3,2,1,3,6,3,3,3,6,6,3,6,3,7,2,
5,3,6,6,9,4,8,8,4,4,1,3,3,3,6,6,6,6,3,3,1,3,7,9,3,6,4,1,2,2,1,1,3,3,2,1,1,2,1,
1],[1,18,3,3,9,54,4,1,8,9,54,54,1,9,9,54,1,9,9,27,27,6,54,12,12,36,6,3,3,18,9,
24,24,72,9,27,27,18,54,3,3,9,27,27,27,27,27,54,4,36,4,36,3,18,18,1,3,9,9,9,9,
1,18,9,18,6,72,8,72,1,2,27,9,27,1,9,27,27,4,12,12,12,3,9,9,6,18,3,9,9,9,3,9,9,
9,18,24,3,6,3,9,6,18,9,12,4,12,1,9,3,9,1,9,3,9,1,2,9,9,18,18,4,1,3,3,3,3,6,3,
1,3,1],[1,18,1,3,3,18,4,1,8,9,18,18,6,3,3,9,1,9,3,9,9,6,12,4,12,6,3,1,6,3,24,
8,24,9,9,9,18,18,3,1,3,9,9,9,9,9,4,12,4,12,3,6,6,1,3,3,3,3,3,1,3,6,6,24,1,2,9,
9,9,3,9,3,9,4,4,4,12,3,3,3,6,6,1,3,3,3,3,3,3,3,1,2,3,3,6,6,9,4,4,4,1,3,3,3,1,
3,3,3,1,3,3,6,4,1,1,1,3,3,1,1,1,1],[1,12,3,3,9,4,1,8,6,6,6,1,6,9,9,1,6,9,6,6,
8,12,12,3,3,9,24,6,3,6,6,6,12,3,3,3,3,9,3,4,4,4,4,6,6,6,1,6,9,9,1,9,6,6,6,8,1,
2,3,3,3,1,3,3,3,8,12,4,6,3,6,6,6,12,3,3,3,9,3,3,3,6,2,3,4,4,4,1,3,3,3,1,3,3,3,
1,2,1,1,4,2,3,3,1,1,1,1,1],[1,12,1,3,3,36,4,1,8,6,6,6,3,18,3,9,1,6,3,18,18,18,
8,4,24,12,3,1,12,3,8,48,3,18,18,6,6,1,3,9,9,9,9,18,18,4,4,12,12,6,6,6,1,6,3,6,
3,6,6,1,3,6,24,1,2,3,9,9,9,3,9,9,8,4,8,12,3,6,6,6,6,1,6,3,3,3,3,3,6,1,2,2,6,
12,9,4,4,4,1,3,3,3,3,1,3,3,1,3,3,6,4,2,1,2,3,3,1,1,1,1],[1,9,3,27,4,1,8,1,27,
9,3,3,27,9,1,27,6,18,36,3,2,6,3,9,24,3,3,9,9,9,9,9,27,9,9,9,18,4,4,12,12,1,6,
6,9,9,1,6,3,6,1,9,1,3,6,8,1,2,1,9,9,3,3,9,9,8,12,12,2,3,3,6,3,3,9,3,3,1,3,3,3,
6,9,6,3,4,4,4,1,1,1,1,3,3,3,3,1,2,3,3,4,2,3,1,3,1,1,1,1],[1,7,3,21,36,4,1,8,6,
21,3,18,27,1,21,18,18,6,18,18,28,24,3,2,6,1,12,3,8,48,3,18,18,7,3,9,9,27,9,18,
18,36,4,4,12,12,1,6,6,3,6,3,6,1,6,3,6,6,6,6,6,24,1,2,3,9,9,3,9,9,9,8,4,8,12,2,
1,6,3,6,3,3,3,3,3,6,6,6,12,7,2,6,12,9,4,4,4,1,1,3,3,3,3,3,3,1,3,3,6,4,2,1,2,3,
3,1,1,1,1],[1,12,3,3,9,5,8,6,6,6,1,6,9,9,1,6,9,6,6,12,8,15,3,9,24,6,3,6,6,6,
12,3,3,3,3,9,3,4,6,6,6,4,5,4,6,9,9,1,9,6,6,6,1,2,8,3,3,3,1,3,3,3,8,12,6,3,6,6,
6,12,4,3,3,3,9,3,3,2,3,6,3,4,4,4,1,3,3,3,1,3,3,3,1,1,1,2,4,3,2,3,1,1,1,1,1],[
1,21,3,63,5,8,1,63,9,9,9,81,27,1,63,6,54,15,18,54,3,9,24,24,72,3,9,27,21,9,27,
27,81,27,27,27,54,4,5,54,54,9,9,3,18,9,18,1,9,3,9,6,1,2,8,72,72,1,27,27,9,9,
27,27,12,4,12,18,3,9,18,9,3,9,9,9,3,9,9,9,18,3,3,9,6,6,18,24,9,4,12,12,1,3,1,
3,9,9,9,9,1,9,9,2,18,18,4,3,1,3,3,3,6,1,3,3,1],[1,12,3,3,9,1,16,32,6,6,6,1,6,
9,9,1,6,9,6,6,12,3,3,9,16,6,3,6,6,6,12,3,3,3,3,9,3,16,6,6,6,1,6,9,9,1,9,6,6,6,
4,8,4,8,12,24,3,3,3,1,3,3,3,16,6,3,6,6,6,12,3,3,3,9,3,3,4,4,4,3,4,4,12,3,3,3,
1,3,3,3,1,2,4,4,4,3,1,1,1],[1,12,3,1,39,5,8,6,6,6,1,6,3,3,18,18,3,18,9,18,12,
8,5,36,3,3,8,48,6,3,6,18,18,1,18,3,9,9,9,9,18,4,6,6,6,4,1,18,12,3,3,6,6,1,3,6,
6,1,2,24,3,9,9,9,3,9,9,8,4,8,6,3,6,6,6,12,3,3,1,3,3,3,6,6,2,1,6,2,12,9,4,4,4,
1,3,3,3,1,3,3,3,1,3,3,6,4,1,2,2,3,3,1,1,1,1],[1,21,1,21,5,8,1,21,3,9,9,27,9,9,
9,6,5,18,18,3,3,8,24,24,1,9,9,21,3,9,9,27,9,9,9,4,5,18,18,3,3,3,6,3,1,3,3,3,6,
1,2,24,3,9,3,9,9,9,9,4,4,4,18,3,3,6,3,1,3,3,3,3,3,3,3,1,3,3,2,6,6,9,8,4,1,3,1,
3,3,3,3,3,1,3,3,6,4,1,1,1,3,3,1,1,1,1],[1,36,3,3,9,4,4,32,18,18,18,1,18,9,9,1,
18,9,6,18,24,12,24,12,96,18,9,18,18,18,36,3,9,3,9,9,9,16,12,4,12,12,4,12,1,8,
1,8,24,9,9,9,1,9,9,9,16,12,12,6,3,24,3,6,24,24,9,4,4,3,1,3,1,2,3,3,4,4,3,3,6,
1,1],[1,6,3,3,9,18,4,4,32,3,18,18,1,9,9,18,1,3,9,9,9,6,18,4,12,12,24,12,3,9,9,
6,18,3,3,9,9,9,9,9,9,18,16,12,4,12,12,4,12,1,8,1,8,24,9,3,9,1,3,9,9,16,4,12,6,
3,3,1,3,3,4,4,3,1,3,1,2,3,3,4,4,3,1,1,1],[1,9,3,27,4,4,32,1,27,9,3,3,27,9,1,
27,6,18,36,12,4,12,3,3,9,9,9,9,9,27,9,9,9,18,16,4,12,12,4,12,12,1,8,1,8,24,1,
9,9,3,3,9,9,16,12,4,3,1,3,9,3,4,4,1,3,3,1,2,3,3,4,4,1,3,1,1],[1,6,3,3,9,18,4,
4,32,3,18,18,1,9,9,18,1,3,9,9,9,6,18,24,12,4,12,12,3,9,9,6,18,3,3,9,9,9,9,9,9,
18,16,12,4,12,12,4,12,1,8,1,8,24,9,3,9,1,3,9,9,16,12,6,4,3,3,1,3,3,4,4,3,1,3,
1,2,3,3,4,4,3,1,1,1],[1,9,3,27,4,4,32,1,27,9,3,3,27,9,1,27,6,18,36,12,4,12,3,
3,9,9,9,9,9,27,9,9,9,18,16,4,12,12,1,8,1,4,8,12,12,24,1,9,9,3,3,9,9,16,12,3,1,
3,9,4,3,4,4,1,1,2,3,3,3,3,4,4,3,1,1,1],[1,18,3,3,9,6,4,4,32,18,9,18,18,18,9,1,
9,1,9,9,3,3,6,12,12,4,12,24,9,6,18,9,18,9,9,3,9,3,9,9,3,9,16,12,12,4,8,1,1,4,
8,12,12,24,9,3,9,9,9,1,3,16,4,6,3,3,3,1,12,3,4,4,3,3,3,1,2,1,3,4,4,3,1,1,1],[
1,9,3,27,4,4,32,3,27,27,1,3,9,9,1,27,18,6,36,12,4,12,9,3,9,9,27,3,9,9,9,9,9,
18,16,12,4,12,8,1,1,4,8,12,12,24,3,9,9,1,3,9,9,16,12,9,3,1,3,4,3,4,4,3,1,3,2,
1,3,3,4,4,3,1,1,1],[1,3,3,9,36,4,4,32,18,9,1,18,9,1,9,18,18,18,18,6,12,24,12,
24,96,9,18,18,3,9,3,9,9,9,18,18,36,16,12,4,12,8,1,1,4,8,12,12,24,9,9,9,1,9,9,
9,16,12,3,3,24,6,6,12,24,24,9,4,4,3,1,3,2,1,3,3,4,4,3,6,3,1,1],[1,15,10,5,1,
24,6,10,15,6,5,10,5,6,10,6,5,1,1],[1,15,10,5,1,24,6,10,15,6,5,10,5,6,10,6,5,1,
1],[1,15,10,5,6,24,1,10,15,6,5,10,5,6,10,6,5,1,1],[1,21,1,21,28,7,21,21,7,21,
21,21,28,28,28,8,7,21,21,7,21,21,21,7,7,28,8,21,8,7,7,7,7,7,7,8,7,7,1,1],[1,9,
5,45,2,2,45,30,1,10,6,30,10,6,30,45,1,9,1,9,10,30,30,30,2,2,5,1,5,9,6,30,2,6,
6,2,6,6,10,5,9,1,2,6,6,6,5,1,1,1,6,2,1,1],[1,9,5,45,2,2,45,9,45,1,10,6,30,10,
6,30,45,1,9,1,9,30,30,2,2,5,1,5,9,9,9,2,6,6,2,6,6,5,1,5,9,1,6,6,5,1,1,1,1,1,1,
1],[1,9,5,45,2,2,45,30,1,10,6,30,10,6,30,45,1,9,1,9,30,30,30,10,2,2,5,1,5,9,6,
30,2,6,6,2,6,6,5,10,9,1,6,6,6,2,5,1,1,1,6,1,2,1],[1,3,5,15,5,8,1,15,15,1,25,3,
15,40,5,4,3,1,3,15,1,15,1,2,5,8,20,1,3,3,5,5,10,5,3,3,8,1,1,4,3,1,3,1,2,5,4,1,
1,2,1,1],[1,21,5,8,1,9,9,1,18,3,24,9,4,21,3,1,3,1,2,5,8,4,1,9,9,3,3,6,18,3,24,
1,9,4,3,1,3,1,2,1,4,3,3,6,1,1],[1,3,90,5,8,1,45,45,1,90,3,120,45,4,3,18,15,1,
15,1,2,5,8,20,1,9,9,15,15,30,18,3,24,1,9,4,3,1,3,1,2,5,4,3,3,6,1,1],[1,15,30,
1,10,20,45,5,45,6,15,10,30,10,30,60,45,10,6,15,5,15,10,5,30,6,10,10,10,18,15,
30,15,6,5,10,6,1,5,3,1,1],[1,15,3,45,1,10,20,45,5,45,6,15,1,15,30,10,30,60,15,
10,18,6,18,15,5,15,10,5,30,6,10,10,10,18,5,15,6,6,6,5,10,6,1,5,3,1,1],[1,15,
10,1,10,20,15,5,15,6,15,10,10,20,10,10,15,10,6,15,5,15,10,5,10,6,10,10,10,6,
15,5,6,5,10,6,1,5,1,1,1],[1,30,15,1,10,20,45,5,45,6,10,15,30,30,10,60,45,10,6,
15,5,15,30,5,10,6,10,10,10,18,15,15,30,6,10,5,6,1,5,3,1,1],[1,15,3,45,1,10,20,
5,45,45,6,15,1,15,30,10,30,60,15,10,18,6,18,5,15,15,30,5,10,6,10,10,10,18,5,
15,6,6,6,10,5,6,1,5,3,1,1],[1,10,15,1,10,20,15,5,15,6,15,10,20,10,10,10,15,10,
6,5,15,15,10,5,10,6,10,10,10,6,15,5,6,10,5,6,1,5,1,1,1],[1,3,15,45,1,10,20,45,
5,45,6,1,15,15,30,10,30,60,15,10,18,6,18,15,5,15,30,5,10,6,10,10,10,18,5,15,6,
6,6,10,5,6,1,5,3,1,1],[1,25,1,10,20,5,15,15,6,25,20,10,20,15,10,6,5,15,15,10,
5,10,6,20,10,6,15,5,6,10,5,6,1,5,1,1,1],[1,1,15,15,1,10,20,15,5,15,6,15,1,15,
20,10,10,10,5,10,6,6,6,5,15,15,10,5,10,6,10,10,10,6,5,10,5,6,6,6,10,5,6,1,5,1,
1,1],[1,15,30,1,10,20,5,45,45,6,15,10,10,30,30,60,45,10,6,5,15,15,30,5,10,6,
10,10,10,18,15,15,30,6,10,5,6,1,5,3,1,1],[1,10,15,10,1,20,15,5,15,6,10,10,10,
20,10,15,15,10,6,10,15,5,15,5,10,6,10,10,10,6,15,5,6,10,5,6,1,5,1,1,1],[1,30,
15,10,1,20,45,5,45,6,30,10,30,10,15,60,45,10,6,30,15,5,15,5,10,6,10,10,10,18,
15,15,30,6,10,5,6,1,5,3,1,1],[1,3,15,45,10,1,20,45,5,45,6,30,10,30,15,1,15,60,
15,10,18,6,18,30,5,15,15,5,10,6,10,10,10,18,5,15,6,6,6,10,5,6,1,5,3,1,1],[1,1,
15,15,10,1,20,15,5,15,6,10,10,10,15,1,15,20,5,10,6,6,6,10,5,15,15,5,10,6,10,
10,10,6,5,5,10,6,6,6,10,5,6,1,5,1,1,1],[1,15,30,10,1,20,5,45,45,6,10,30,30,15,
10,60,45,10,6,30,5,15,15,5,10,6,10,10,10,18,15,15,30,6,10,5,6,1,5,3,1,1],[1,
15,10,10,1,20,5,15,15,6,10,10,10,15,10,20,15,10,6,10,5,5,10,15,15,6,10,10,10,
6,5,15,6,10,5,6,1,5,1,1,1],[1,3,15,45,10,1,20,45,5,45,6,30,10,30,15,1,15,60,
15,10,18,6,18,30,5,5,10,15,15,6,10,10,10,18,15,5,6,6,6,10,5,6,1,5,3,1,1],[1,
15,30,10,1,20,5,45,45,6,10,30,30,15,10,60,45,10,6,30,5,5,10,15,15,6,10,10,10,
18,15,15,30,6,10,5,6,1,5,3,1,1],[1,45,20,20,15,15,45,36,60,60,45,10,36,15,15,
10,15,15,10,6,6,1],[1,5,5,25,25,5,25,5,25,50,1,4,1,25,25,25,5,5,1,5,20,1,5,25,
5,5,5,5,5,5,1,5,10,20,1,5,10,1,5,5,5,5,5,5,1,1,1,5,5,1,1,1,1,1,1,1,1,1,1,1],[
1,5,7,35,1,35,1,1,35,5,7,7,1,5,7,1,5,7,1,5,1,1,1,1],[1,15,10,5,6,10,1,6,5,15,
10,5,6,10,1,6,5,1],[1,24,9,3,27,24,1,2,4,2,4,36,18,54,27,36,9,27,18,54,6,9,1,
6,9,6,6,12,24,8,6,6,18,12,36,6,24,12,6,18,8,36,12,27,36,54,27,27,2,2,1,4,4,9,
6,18,9,9,9,9,9,9,6,18,18,36,24,36,6,18,18,18,6,24,36,36,27,6,2,2,2,6,6,6,2,6,
6,6,6,2,2,8,4,3,1,3,8,12,12,12,12,4,9,9,9,9,9,9,9,18,18,1,6,6,6,2,6,6,6,6,6,2,
6,6,6,6,6,4,6,12,3,6,4,1,3,6,12,9,2,1,2,1,1,2,2,6,6,3,4,6,3,3,2,1,2,1,2,1,1,1,
1,1,2,3,1,1,1,1,1,1,1,1],[1,12,3,3,9,36,1,5,10,8,16,9,36,54,1,9,9,36,27,54,3,
3,1,3,3,9,9,24,48,4,15,3,12,9,6,6,18,24,27,12,54,3,27,5,8,4,16,16,3,9,9,1,3,3,
9,9,9,9,9,18,36,3,12,18,9,9,1,12,9,18,18,2,18,1,2,2,4,9,12,1,5,1,12,3,3,3,3,8,
16,8,12,24,9,3,9,1,3,9,9,6,12,9,4,18,3,9,6,3,6,4,12,1,3,3,3,3,3,3,1,3,3,3,6,1,
2,12,1,2,2,4,3,9,3,4,4,4,3,3,1,3,1,3,1,3,1,3,2,4,2,3,6,4,1,3,1,3,1,1,1,1],[1,
27,21,27,1,5,10,8,16,63,81,1,9,9,27,9,9,21,9,54,15,18,3,9,30,6,18,24,9,27,27,
9,27,9,27,5,8,4,16,16,21,27,1,3,9,9,9,9,54,18,9,3,1,9,3,9,18,2,18,1,2,2,4,27,
18,5,18,3,3,24,24,4,48,3,9,9,3,9,9,9,9,9,9,9,3,9,3,9,6,3,3,6,6,4,3,18,6,3,3,1,
3,3,3,1,2,12,1,2,2,4,9,9,9,8,4,3,3,3,3,1,3,3,3,1,3,6,3,3,1,6,6,4,1,3,3,3,1,1,
1,1],[1,15,3,54,27,1,5,10,8,16,3,54,27,54,1,3,27,27,27,3,3,6,18,9,12,42,7,54,
3,9,6,108,6,18,72,144,3,27,27,9,27,27,27,5,8,4,16,16,18,9,1,3,3,9,9,9,18,6,3,
36,36,54,18,9,9,1,9,9,3,18,18,2,18,18,6,1,2,2,4,27,12,1,4,6,18,3,3,24,16,8,12,
24,48,48,9,3,9,3,9,9,9,6,3,18,18,9,9,9,3,9,9,9,6,18,18,18,1,9,18,18,36,4,12,6,
3,3,6,3,1,3,3,3,1,2,12,24,1,2,2,4,9,18,9,9,4,4,4,3,3,1,3,3,3,3,3,1,3,6,3,1,3,
6,6,2,6,12,4,1,3,3,3,6,1,1,1,1],[1,24,3,3,9,1,5,10,8,16,12,18,18,1,12,9,9,6,3,
1,6,3,12,24,16,15,3,9,24,6,24,12,9,18,3,9,5,8,4,16,16,3,6,6,1,3,3,3,3,3,6,12,
18,18,12,9,1,9,12,2,6,1,2,2,4,9,6,4,5,4,6,3,3,8,16,8,12,24,3,3,3,1,3,3,3,6,12,
9,18,3,9,4,3,6,6,4,3,6,6,4,3,3,1,3,3,3,1,2,12,1,2,2,4,3,9,3,4,4,4,3,3,3,1,3,3,
3,1,1,1,2,3,4,6,2,4,1,3,1,3,1,1,1,1],[1,21,3,63,1,5,10,8,16,1,63,9,9,9,81,27,
21,1,21,15,18,54,3,9,108,6,24,24,72,144,3,9,27,27,27,27,27,5,8,4,16,16,1,21,3,
9,9,27,9,54,9,3,18,9,1,9,3,9,18,2,18,1,2,2,4,72,27,5,18,18,3,3,8,24,24,12,4,
12,48,48,1,9,9,9,9,9,9,9,3,9,3,9,9,9,18,3,3,9,18,6,6,18,36,4,18,3,3,6,3,1,3,3,
3,1,2,24,12,1,2,2,4,9,9,9,18,4,4,4,3,1,3,3,3,3,3,1,3,3,2,6,6,3,1,3,6,6,12,4,1,
3,3,6,3,1,1,1,1],[1,21,3,54,9,1,5,10,8,16,9,54,9,54,1,9,9,27,27,6,3,3,18,9,24,
30,13,54,3,3,24,108,6,72,144,9,27,27,3,27,27,27,5,8,4,16,16,3,18,18,1,3,9,9,9,
9,9,72,54,18,3,9,1,3,9,9,18,2,18,1,2,2,4,27,6,4,1,12,18,3,3,24,16,8,12,24,48,
48,3,9,9,3,9,9,9,9,9,9,6,3,1,9,9,9,18,3,9,6,18,18,36,4,3,6,6,12,3,3,1,3,3,3,1,
2,12,24,1,2,2,4,9,9,18,9,4,4,4,3,3,3,1,3,3,3,1,3,3,6,1,2,3,3,6,6,6,12,4,1,3,3,
3,6,1,1,1,1],[1,9,21,9,1,5,10,8,16,21,27,1,3,9,9,9,21,9,9,36,18,5,18,3,3,6,24,
3,9,9,3,9,9,9,5,8,4,16,16,1,21,3,9,9,27,9,6,3,18,6,3,3,1,3,3,3,2,6,1,2,2,4,9,
5,18,18,3,3,24,8,16,4,3,9,3,9,9,9,9,6,3,3,3,6,3,1,3,3,3,1,3,6,4,18,3,3,6,3,1,
3,3,3,1,2,4,1,2,2,4,9,3,3,8,4,3,1,3,3,3,3,3,1,3,3,6,1,2,1,1,2,4,1,3,3,1,1,1,1,
1],[1,36,9,3,27,4,2,16,2,16,54,18,54,27,1,18,27,24,36,36,12,6,6,18,48,6,6,18,
27,18,54,9,27,8,8,1,16,16,36,18,36,36,6,2,6,18,18,18,1,4,2,4,18,18,27,24,8,24,
24,12,3,1,3,48,18,18,18,6,18,6,18,9,6,12,6,4,24,6,6,6,2,1,4,6,3,3,2,4,18,9,8,
4,6,3,6,2,6,6,1,12,3,6,4,1,3,6,2,1,1],[1,9,3,27,36,4,2,16,2,16,27,54,1,27,18,
18,54,36,24,6,6,18,6,36,6,18,12,48,9,27,27,18,54,8,8,1,16,16,36,2,18,18,1,4,2,
4,18,18,18,18,6,6,36,36,27,24,24,24,8,3,1,3,12,48,6,9,6,18,6,6,12,18,18,18,18,
4,24,2,1,4,3,3,6,6,6,6,2,4,9,18,4,8,6,1,6,3,3,6,6,6,2,12,4,1,3,6,1,2,1],[1,9,
3,27,4,2,16,2,16,27,9,27,1,27,36,6,6,18,6,6,18,9,27,27,8,8,1,16,16,36,2,18,18,
1,4,2,4,18,18,9,24,24,3,1,3,6,9,6,4,2,1,4,3,3,1,3,2,4,9,4,6,1,3,3,6,4,1,1,1,
1],[1,3,3,9,4,5,40,8,64,1,9,9,1,9,6,12,15,3,9,24,24,3,3,9,20,32,4,64,64,4,5,9,
9,1,9,6,8,1,8,2,16,1,10,8,16,24,48,1,12,12,3,3,9,3,6,3,6,16,4,4,8,5,4,16,1,8,
24,8,16,8,16,1,1,1,2,2,2,4,3,3,4,4,1,1,2,1,2,2,4,1],[1,9,5,45,1,1,45,15,3,3,
45,15,25,45,10,1,5,2,10,3,15,5,3,15,35,5,15,15,75,45,15,15,9,1,9,5,10,10,15,
15,1,10,5,1,15,1,5,10,1,5,15,15,15,15,15,15,1,9,3,3,3,9,3,5,9,2,10,15,5,10,5,
5,15,5,5,1,5,5,5,1,2,2,3,3,15,1,3,3,7,1,3,3,15,9,3,3,5,5,5,5,5,5,5,1,2,2,3,3,
1,2,1,1,3,1,1,2,1,3,3,3,3,3,3,5,2,3,1,2,1,1,3,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[
1,9,5,45,4,1,45,15,3,3,45,15,35,15,30,1,20,4,20,5,3,15,45,15,15,15,45,15,15,
15,9,1,9,20,20,20,1,4,15,15,5,15,15,15,15,1,9,3,3,3,9,3,7,3,6,20,5,1,5,4,4,4,
15,1,3,3,9,3,3,3,9,3,3,3,5,5,5,4,4,4,1,3,3,1,3,3,3,3,5,4,1,1,1,3,1,1,1,1],[1,
9,5,45,4,3,45,45,1,3,15,15,15,35,30,1,20,4,20,15,3,15,15,15,5,15,45,45,15,15,
9,1,9,1,20,20,20,4,15,15,15,5,15,15,15,3,9,9,1,3,3,3,3,7,6,5,1,5,20,4,4,4,15,
3,3,3,3,3,1,3,9,9,3,3,5,5,5,1,4,4,4,3,3,3,1,3,3,3,5,1,1,1,4,3,1,1,1,1],[1,6,5,
3,15,30,4,3,30,30,30,15,5,15,1,3,15,15,15,30,1,4,20,20,3,15,15,30,30,15,5,15,
15,15,15,15,15,6,3,1,3,6,20,20,20,1,4,15,15,15,15,15,5,15,3,6,6,1,3,3,3,3,3,6,
1,3,6,20,5,1,5,4,4,4,15,3,3,3,6,6,1,3,3,3,3,3,3,3,5,5,5,4,4,4,1,3,3,3,3,1,3,3,
5,4,1,1,1,3,1,1,1,1],[1,15,3,45,20,10,30,45,5,30,45,1,45,10,10,30,30,30,6,30,
20,10,30,20,15,30,30,15,15,15,15,45,15,10,30,60,18,6,18,5,10,10,10,30,30,10,
10,20,20,15,15,15,5,15,15,15,6,18,18,12,12,15,10,10,10,10,10,10,10,10,15,6,6,
6,5,5,5,10,1,6,5,2,3,1,1,1,1],[1,20,15,3,45,10,30,10,30,5,30,45,45,1,10,45,30,
30,6,20,20,30,10,30,30,15,30,10,30,60,15,15,15,15,45,15,18,6,18,10,20,20,10,
10,10,30,30,10,5,15,15,15,5,15,15,15,6,18,18,12,12,10,10,10,10,10,10,10,10,15,
15,6,6,6,10,5,5,5,1,6,5,2,3,1,1,1,1],[1,22,25,1,25,30,10,50,11,50,90,90,5,30,
25,15,15,30,15,45,15,15,30,6,40,20,10,20,20,10,20,10,30,25,30,30,30,90,30,45,
10,30,30,30,5,15,15,15,30,30,15,15,15,15,15,12,6,6,6,12,20,20,20,40,40,40,40,
10,20,20,20,10,10,10,20,10,5,15,30,30,15,15,30,30,5,15,15,15,6,12,12,6,6,12,6,
6,10,20,20,20,20,40,10,10,10,10,5,5,5,15,6,12,12,6,6,10,5,10,10,5,5,1,6,5,2,1,
2,1,1,1,2,2,1,1,1],[1,20,15,1,35,10,30,10,30,5,30,15,15,30,30,1,10,15,30,6,20,
20,10,10,30,20,30,15,30,10,30,5,30,15,15,15,15,15,30,6,6,6,10,20,20,10,10,10,
10,10,10,20,20,5,15,15,15,15,5,15,15,6,6,6,12,12,10,10,10,10,10,10,10,10,5,10,
15,6,6,6,10,5,5,5,1,6,5,2,1,2,1,1,1,1],[1,2,15,3,45,30,10,1,30,30,5,45,45,30,
1,1,45,15,15,30,30,6,20,30,10,30,20,1,15,15,10,30,15,15,45,15,15,15,15,15,30,
12,18,6,18,12,10,20,20,10,30,30,10,10,10,5,15,5,15,5,5,15,15,6,12,12,6,6,18,
18,6,6,10,10,10,10,10,10,10,10,15,5,6,6,6,6,6,6,6,10,5,5,5,1,6,5,3,2,1,1,1,
1],[1,25,3,75,10,5,75,45,15,15,135,45,1,75,30,90,6,30,20,60,10,30,15,15,45,25,
45,45,45,135,45,45,45,90,18,6,18,10,60,60,30,30,10,60,30,60,5,5,45,45,15,15,
45,45,6,18,18,6,18,20,10,30,60,30,15,5,15,15,6,18,18,10,5,15,15,1,6,5,3,1,3,1,
3,3,1],[1,2,15,1,35,30,10,1,30,30,5,15,15,30,30,30,10,10,15,30,30,30,6,20,10,
10,30,20,20,10,15,10,30,5,30,15,15,15,15,15,30,30,60,12,6,6,6,12,10,20,20,10,
10,10,10,10,10,20,20,5,15,5,15,15,15,15,15,6,12,12,6,6,12,12,10,10,10,10,10,
10,10,10,5,10,15,6,6,6,10,5,5,5,1,6,5,1,2,2,1,1,1,1],[1,25,1,25,10,5,25,15,15,
15,45,15,11,15,30,6,10,20,20,10,10,5,15,15,25,15,15,15,45,15,15,15,6,6,6,10,
20,20,10,10,10,20,10,5,15,15,5,15,15,15,15,6,6,6,6,6,12,20,10,10,20,10,5,5,5,
15,6,6,6,10,5,5,5,1,6,5,1,1,1,1,1,1,1],[1,20,3,15,45,10,10,30,30,1,10,45,45,5,
30,45,30,30,6,20,30,10,20,30,10,15,30,30,30,60,15,15,15,15,45,15,18,6,18,10,
20,20,10,10,30,10,30,10,5,15,15,15,5,15,15,15,6,18,18,12,12,10,10,10,10,10,10,
10,15,10,15,6,6,6,10,5,5,5,1,6,5,2,3,1,1,1,1],[1,30,3,15,45,10,10,30,45,90,30,
90,45,1,45,5,45,45,15,15,30,6,30,30,10,30,30,10,10,45,10,90,45,90,45,45,15,45,
15,45,45,15,45,18,6,18,30,30,60,30,30,30,30,10,30,30,10,30,5,45,15,45,45,45,5,
15,18,6,18,18,6,30,10,30,30,30,10,10,15,15,5,15,18,6,18,10,15,15,5,1,6,5,3,3,
1,3,3,1,1],[1,20,1,15,15,20,10,10,30,30,15,10,1,15,5,30,15,30,30,30,6,20,10,
10,20,10,20,20,15,10,30,30,30,5,15,15,15,15,15,30,30,6,6,6,10,20,20,10,10,10,
10,10,10,20,20,5,15,15,15,15,5,15,15,6,6,6,12,12,10,10,10,10,10,10,10,5,10,10,
15,6,6,6,10,5,5,5,1,6,5,2,1,2,1,1,1,1],[1,10,3,15,45,30,10,15,30,90,1,45,45,
30,5,15,45,45,45,30,90,6,10,30,10,10,30,30,30,15,45,45,10,90,15,15,45,45,45,
45,45,45,90,18,6,18,10,30,30,10,30,30,30,30,30,30,30,60,5,45,15,45,5,15,45,45,
6,18,18,6,18,30,10,30,10,10,30,30,15,5,15,15,6,18,18,10,5,15,15,1,6,5,1,3,3,3,
1,3,1],[1,10,1,15,15,10,10,15,10,30,10,15,1,15,5,15,15,15,15,30,6,10,10,10,10,
10,10,10,15,15,15,10,30,15,5,15,15,15,15,15,15,6,6,6,10,10,10,10,10,10,10,10,
10,10,10,5,15,15,15,15,15,5,15,6,6,6,6,6,12,10,10,10,10,10,10,10,5,5,5,15,6,6,
6,10,5,5,5,1,6,5,1,1,1,1,1,1,1],[1,5,15,75,10,1,75,45,1,1,45,15,5,75,30,30,6,
50,10,50,15,1,15,25,45,15,15,45,15,15,15,30,30,6,30,10,50,30,10,10,30,10,5,5,
15,15,5,5,15,15,6,30,18,6,6,18,6,10,10,10,10,10,10,10,25,5,6,6,6,6,6,6,6,10,5,
5,5,1,6,5,5,1,1,1,1],[1,3,15,45,20,10,10,45,1,10,45,5,45,30,30,30,30,30,6,30,
10,30,20,20,15,10,30,15,15,15,15,45,15,30,30,60,18,6,18,10,30,10,10,10,30,10,
20,20,5,15,15,15,5,15,15,15,18,6,18,12,12,10,10,10,10,10,10,10,15,10,15,6,6,6,
10,5,5,5,1,6,5,3,2,1,1,1,1],[1,3,42,4,7,56,1,21,21,28,21,42,1,21,28,1,7,14,21,
21,3,6,28,4,8,1,7,21,1,3,3,7,4,3,6,3,4,7,1,2,1,3,3,4,1,3,1,1],[1,21,1,28,56,7,
7,21,21,28,8,21,28,7,7,21,7,14,14,7,28,8,16,8,21,7,7,7,7,8,7,7,1,1],[1,15,10,
2,40,2,40,5,6,10,30,30,20,20,1,40,40,6,10,5,20,10,20,12,12,20,20,15,10,12,12,
10,5,20,10,20,6,10,1,6,5,2,2,1],[1,18,21,3,63,18,5,8,42,9,42,54,54,1,6,63,9,9,
18,9,81,27,1,9,63,9,9,6,6,18,54,36,10,15,18,54,3,6,9,24,24,72,6,21,6,18,18,54,
18,9,42,27,27,12,6,18,18,18,3,9,27,3,18,18,21,21,9,3,27,9,27,81,27,27,9,27,27,
54,9,27,18,36,4,6,18,6,36,36,12,12,5,6,6,5,5,54,54,18,9,3,9,3,3,18,9,18,1,6,9,
3,9,6,6,6,6,1,2,8,72,72,3,18,18,21,3,9,9,27,9,18,18,27,27,3,9,9,9,1,3,27,27,3,
3,3,9,9,9,9,9,9,9,9,9,27,9,27,9,9,9,16,12,4,12,6,3,6,6,6,6,6,18,6,18,18,6,6,
12,12,6,5,18,3,3,2,6,6,6,18,3,3,18,3,3,9,18,6,9,6,3,3,3,9,3,9,3,9,3,6,3,6,9,9,
6,9,18,12,2,3,3,9,6,6,18,24,3,9,9,9,9,9,9,3,9,9,9,9,9,9,9,8,8,8,4,8,12,12,1,3,
6,6,3,3,3,3,3,3,6,6,18,6,6,6,3,6,6,3,3,1,3,3,3,3,1,3,3,3,3,1,3,3,3,9,3,9,3,9,
3,9,3,3,3,3,3,1,1,1,9,9,3,2,18,18,9,8,4,8,2,4,4,3,2,1,3,3,3,3,3,3,3,3,3,3,3,1,
3,3,3,3,3,3,3,1,3,3,3,6,4,1,2,2,1,1,1,3,3,1,3,3,1,1,1,1,1,1,1,1],[1,30,9,3,27,
54,4,1,8,42,15,42,90,90,1,6,27,9,3,54,3,27,9,1,15,27,27,27,6,6,54,18,20,36,36,
12,6,3,2,6,3,18,9,24,24,72,6,21,6,18,18,54,18,15,42,45,45,12,18,18,54,18,3,3,
9,3,18,18,9,21,9,3,9,27,9,27,45,9,27,9,9,18,27,45,54,36,4,28,60,4,4,12,36,12,
6,6,6,12,12,12,12,3,18,18,1,3,6,6,6,9,9,9,9,1,6,3,6,1,18,9,1,3,6,18,6,6,72,8,
72,1,2,3,18,18,21,3,9,9,27,9,18,18,45,27,9,9,27,9,1,3,9,9,9,3,3,9,9,9,3,27,3,
9,9,9,9,27,9,9,9,9,8,4,8,12,12,4,12,12,12,12,12,12,6,3,6,6,6,6,6,6,6,6,6,6,6,
12,12,3,6,9,9,6,18,6,6,2,3,9,6,9,9,3,6,6,3,6,3,3,9,9,9,3,3,3,3,18,1,6,3,3,6,3,
6,12,24,9,6,5,9,6,18,3,9,9,9,9,9,9,9,9,9,9,3,9,9,9,4,8,8,12,4,4,12,4,4,1,12,3,
6,6,3,3,3,3,3,3,6,6,6,6,6,6,9,3,3,9,3,3,1,1,9,1,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,1,2,7,1,15,3,9,3,18,18,9,4,4,4,4,4,4,4,1,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,
1,3,3,3,1,3,3,6,3,3,3,3,4,2,3,1,2,1,1,3,1,1,3,3,1,1,1,1,1,1,1,1],[1,42,9,3,27,
18,4,4,32,54,21,54,54,54,1,18,27,9,3,18,3,27,9,1,21,27,9,9,6,18,18,18,28,36,
12,24,24,12,4,12,96,18,27,18,18,18,54,18,21,54,27,27,36,6,18,18,18,3,3,9,9,18,
18,9,27,9,9,9,9,9,27,27,9,9,9,9,18,9,27,18,36,16,36,36,4,12,12,12,12,12,24,24,
12,4,12,12,12,12,1,8,1,8,24,9,18,18,27,9,9,9,27,9,18,18,27,27,3,9,9,9,1,9,9,9,
3,9,9,9,9,9,3,9,3,9,9,9,9,9,9,9,9,9,16,16,16,12,12,12,4,12,12,12,12,12,12,6,
12,12,4,12,6,3,1,3,24,9,7,3,24,24,9,9,9,9,9,9,9,3,9,9,9,3,9,9,9,16,4,4,12,12,
3,6,6,3,1,3,3,3,3,1,2,9,3,9,3,3,3,9,4,4,4,4,4,4,3,3,3,3,3,1,3,3,1,3,6,3,3,3,3,
4,4,1,3,3,1,1,1,1],[1,18,9,3,27,42,4,4,32,18,9,18,54,54,3,18,27,27,1,54,3,9,9,
1,9,27,21,21,18,18,54,6,12,36,28,12,24,4,12,24,96,18,9,18,6,18,18,18,9,18,27,
27,36,18,18,54,18,9,3,9,9,18,18,9,9,27,9,3,27,9,9,27,9,27,9,9,18,21,27,54,36,
16,12,36,12,12,4,36,12,8,1,1,4,8,12,12,12,12,12,12,24,24,24,9,18,18,9,9,3,9,9,
9,18,18,27,9,9,9,27,9,3,9,9,9,9,9,9,9,9,9,1,27,3,3,9,9,9,27,9,9,9,9,16,16,16,
12,4,12,12,12,12,12,6,9,3,24,1,6,3,3,7,12,4,12,24,12,12,12,12,24,9,9,9,3,9,9,
9,9,9,9,9,3,9,9,9,4,16,4,12,3,6,6,3,3,3,9,1,9,3,2,1,3,3,3,3,3,12,9,4,4,4,4,4,
4,3,3,3,3,3,3,1,3,3,3,6,1,3,3,3,4,1,4,3,3,1,1,1,1],[1,15,5,75,10,75,5,75,1,24,
6,50,10,50,25,15,30,1,15,120,6,30,5,50,10,15,5,15,30,25,6,10,10,10,5,6,6,6,5,
10,1,6,5,5,1,1],[1,15,5,75,10,5,75,75,1,24,6,50,10,50,25,15,30,1,15,120,6,30,
50,5,10,5,15,15,30,25,6,10,10,10,5,6,6,6,10,5,1,6,5,5,1,1],[1,25,10,5,15,15,1,
24,6,20,10,15,25,6,10,5,10,5,15,15,6,5,6,20,10,15,6,10,5,1,6,5,1,1,1],[1,15,
50,10,5,75,75,1,24,6,10,50,50,75,15,10,6,50,5,10,5,15,15,30,25,6,10,10,10,15,
6,10,5,1,6,5,5,1,1],[1,10,15,10,15,5,15,6,24,1,10,10,10,15,10,15,6,10,5,10,15,
5,15,6,5,6,10,10,10,15,6,10,5,1,6,5,1,1,1],[1,5,15,75,10,75,5,75,6,24,1,50,10,
50,25,30,15,6,30,120,1,15,50,5,10,30,5,15,15,25,6,10,10,10,5,6,6,6,10,5,1,6,5,
5,1,1],[1,15,50,10,5,75,75,6,24,1,10,50,50,75,15,6,10,50,5,10,5,15,15,30,25,6,
10,10,10,15,6,10,5,1,6,5,5,1,1],[1,21,3,63,28,7,63,63,7,21,63,63,1,63,42,42,
84,28,84,8,21,21,63,21,63,21,63,63,63,63,63,126,7,7,28,84,84,24,7,63,63,7,21,
63,63,8,21,7,21,21,7,21,28,8,21,24,7,21,21,7,21,21,8,7,7,1,3,1],[1,9,5,45,2,2,
45,9,45,30,30,1,10,6,30,10,6,30,45,45,45,1,9,1,9,10,30,30,30,30,10,2,2,45,5,1,
5,9,9,9,6,6,30,30,2,6,6,2,6,6,10,5,10,1,5,9,9,9,1,2,6,6,6,6,2,5,5,5,9,1,1,1,6,
6,5,2,1,2,1,1,1,1,1,1],[1,3,5,15,5,8,1,15,15,15,45,1,25,3,15,40,5,45,45,4,3,1,
3,5,60,15,15,1,15,1,2,5,8,15,20,1,3,3,3,9,15,5,15,5,10,5,3,3,8,20,1,1,9,9,4,5,
15,1,12,3,3,1,3,1,2,5,3,4,3,1,3,1,2,5,4,1,1,3,1,1],[1,21,5,105,5,8,1,105,15,9,
9,135,45,1,25,18,90,3,15,40,24,120,5,9,45,45,45,45,45,4,21,1,21,90,15,3,30,15,
1,15,3,15,1,2,120,5,8,45,20,4,20,1,21,3,9,9,27,9,15,5,15,3,15,15,15,5,3,15,10,
6,30,5,18,18,3,3,8,24,24,20,1,1,9,9,9,9,9,9,4,15,15,30,18,3,3,6,3,1,3,3,3,1,2,
24,5,1,5,9,4,4,4,3,1,3,3,3,3,3,1,3,3,2,6,6,5,4,1,3,3,6,1,1,1,1],[1,3,5,15,5,8,
1,15,15,30,30,1,25,3,15,40,5,15,15,4,3,1,3,20,30,15,1,15,30,1,2,5,8,15,20,1,3,
3,6,6,15,5,15,5,10,5,3,3,8,20,1,1,3,3,4,15,5,4,6,3,1,3,6,1,2,5,3,4,3,1,3,1,2,
5,4,1,3,1,1,1],[1,15,3,45,40,1,10,20,60,45,5,60,45,30,90,6,15,1,15,10,10,30,
40,20,10,30,40,60,60,45,60,90,15,45,10,18,6,18,15,15,15,5,15,15,15,10,30,10,5,
30,30,30,40,60,60,6,45,10,10,10,10,10,10,10,18,24,15,15,15,5,15,15,15,15,30,
20,30,6,6,6,5,10,10,10,10,10,10,10,18,15,15,6,6,6,1,5,5,5,10,6,4,3,5,1,3,1,1,
1,1],[1,15,3,45,4,10,80,45,5,45,1,45,30,6,60,30,10,30,15,15,45,40,18,6,18,20,
40,5,1,10,20,30,30,120,24,5,40,6,18,18,15,15,10,24,20,10,6,5,10,5,6,1,10,6,3,
5,4,1,1],[1,40,15,3,45,1,10,20,60,30,90,5,60,45,45,6,10,15,1,10,15,20,40,40,
30,10,30,60,60,60,45,90,15,45,10,18,6,18,15,10,30,5,15,15,15,15,15,30,60,40,
60,30,30,5,10,6,45,10,10,10,10,10,10,10,18,24,15,15,15,5,15,15,15,30,20,15,30,
6,6,6,10,10,10,10,10,10,10,5,18,15,15,6,6,6,1,10,5,5,5,6,4,3,5,1,3,1,1,1,1],[
1,33,25,45,1,10,20,75,135,5,45,15,45,15,6,11,25,15,60,30,20,10,30,60,20,60,45,
45,45,15,45,15,45,10,18,6,18,25,45,5,15,15,15,15,30,60,60,30,10,60,5,10,6,45,
20,10,20,10,10,18,18,6,15,15,15,5,15,15,15,30,15,15,5,30,6,6,6,10,20,20,10,10,
5,18,15,15,6,6,6,1,10,5,5,5,6,3,3,1,5,1,3,1,1,1,1],[1,31,15,30,15,1,10,20,45,
30,15,90,5,45,15,45,45,6,10,15,1,10,15,20,40,30,10,30,10,30,60,60,45,45,45,5,
45,45,45,10,6,6,6,15,10,30,5,15,15,15,15,15,30,60,30,30,10,30,30,30,5,10,6,45,
10,10,10,10,10,10,10,6,18,18,15,15,15,5,15,15,15,30,10,5,15,15,30,30,6,6,6,10,
10,10,10,10,10,10,5,18,15,30,15,6,6,6,1,10,5,5,5,6,3,1,3,5,1,3,1,1,1,1],[1,4,
15,3,45,60,1,10,20,3,60,90,5,45,45,60,45,90,6,1,15,1,1,15,15,15,20,40,30,10,
30,40,60,60,45,20,90,15,45,10,24,18,6,18,24,1,15,15,5,15,15,15,15,15,15,15,30,
30,60,40,60,30,30,5,10,6,15,10,10,10,10,10,10,10,18,24,36,18,18,15,5,15,5,5,
15,15,30,10,20,15,6,6,6,6,6,6,6,10,10,10,10,10,10,10,5,18,5,15,6,6,6,6,6,6,6,
1,10,5,5,5,6,3,4,5,1,3,1,1,1,1],[1,25,3,75,1,10,20,5,75,45,15,15,135,45,6,25,
1,25,30,20,60,10,30,120,20,15,15,45,45,45,45,45,10,18,6,18,5,25,15,15,15,45,
15,60,30,10,60,30,60,5,10,6,45,10,20,20,10,10,18,6,18,5,15,15,15,15,15,15,30,
15,5,15,30,6,6,6,20,10,10,20,10,5,18,15,15,6,6,6,1,10,5,5,5,6,3,1,3,5,1,3,1,1,
1,1],[1,13,15,30,45,1,10,20,15,30,45,90,5,15,45,45,45,6,1,15,10,10,15,20,40,
10,10,30,30,30,60,60,15,45,45,15,45,45,45,10,18,6,18,10,15,5,15,15,15,15,15,
30,30,60,10,30,30,30,30,30,5,10,6,45,10,10,10,10,10,10,10,18,6,18,15,5,15,15,
15,15,15,30,15,5,15,30,6,6,6,10,10,10,10,10,10,10,5,18,15,15,6,6,6,1,10,5,5,5,
6,1,3,3,5,1,3,1,1,1,1],[1,11,25,15,1,10,20,25,45,5,15,15,15,15,6,25,11,15,40,
20,10,20,10,10,20,15,15,15,5,15,15,15,10,6,6,6,5,25,15,15,15,45,15,20,10,20,
20,10,10,5,10,6,15,10,20,20,10,10,6,6,6,15,15,5,15,15,15,15,10,10,5,5,5,6,6,6,
20,10,10,20,10,5,6,15,5,6,6,6,1,10,5,5,5,6,1,1,1,5,1,1,1,1,1,1],[1,15,3,45,4,
10,80,5,45,45,1,45,30,6,60,30,10,30,15,15,45,40,18,6,18,20,10,30,30,5,40,1,20,
120,24,5,40,6,18,18,10,15,15,24,20,10,6,5,5,10,6,1,10,6,3,5,4,1,1],[1,20,1,15,
15,10,1,20,10,30,30,15,5,30,15,6,20,10,10,20,10,40,20,15,1,15,20,15,30,30,5,
15,10,6,6,6,10,20,20,10,10,20,10,30,30,5,30,15,15,5,10,6,15,20,10,20,10,10,6,
12,10,15,30,30,5,15,5,10,10,6,6,6,10,20,20,10,10,5,6,15,5,12,6,1,10,10,5,6,2,
1,5,1,1,2,1,1],[1,40,3,15,45,10,1,20,30,60,90,45,5,60,45,6,40,30,10,40,30,20,
10,10,15,1,15,60,60,45,60,90,15,45,10,18,6,18,30,40,60,30,30,15,60,10,30,15,5,
15,15,15,15,5,10,6,45,10,10,10,10,10,10,10,18,24,30,15,15,15,15,15,5,15,15,20,
30,6,6,6,10,10,10,10,10,10,10,5,18,15,15,6,6,6,1,10,5,5,5,6,4,3,5,1,3,1,1,1,
1],[1,10,3,15,45,30,10,1,20,15,30,90,45,5,15,45,45,45,6,10,30,10,10,30,30,30,
20,10,15,1,15,10,60,60,15,45,45,15,45,45,45,10,18,6,18,10,30,30,30,30,30,30,
15,60,10,30,5,15,15,15,15,15,5,10,6,45,10,10,10,10,10,10,10,18,6,18,30,15,15,
15,5,15,15,15,15,5,15,30,6,6,6,10,10,10,10,10,10,10,5,18,15,15,6,6,6,1,10,5,5,
5,6,1,3,3,5,1,3,1,1,1,1],[1,30,1,15,15,30,10,1,20,45,30,90,15,5,45,15,45,45,6,
30,10,10,30,10,30,30,10,15,1,10,15,60,20,60,45,45,45,5,45,45,45,10,6,6,6,30,
30,30,10,30,30,30,15,10,30,5,15,15,15,15,15,60,5,10,6,45,10,10,10,10,10,10,10,
6,18,18,30,15,15,15,5,15,15,15,5,10,15,15,30,30,6,6,6,10,10,10,10,10,10,10,5,
18,15,15,30,6,6,6,1,10,5,5,5,6,3,1,3,5,1,3,1,1,1,1],[1,7,15,105,10,1,20,105,3,
135,5,105,90,6,70,10,70,15,2,30,1,15,120,20,35,45,135,10,42,6,42,70,30,90,5,
30,30,15,15,1,30,15,30,60,5,10,6,15,10,20,20,10,10,42,18,54,30,10,5,15,30,15,
35,10,6,12,12,6,6,20,10,10,20,10,5,18,5,15,12,6,6,12,6,1,10,10,5,6,7,5,1,3,2,
1,1],[1,3,15,45,10,1,20,1,45,45,5,45,30,6,30,10,30,15,3,45,60,15,15,45,10,18,
6,18,10,30,30,5,45,45,1,45,30,20,5,10,6,5,10,30,30,6,18,18,10,15,15,45,15,30,
6,18,18,30,10,30,5,6,5,5,10,18,6,18,1,10,15,6,3,5,1,1,3,1],[1,1,15,15,60,10,1,
20,15,30,5,15,90,90,90,6,10,10,10,60,60,15,1,20,15,20,120,5,45,45,90,90,10,6,
6,6,10,30,30,60,60,5,15,30,15,30,10,30,60,5,10,6,45,10,10,20,10,20,6,36,30,5,
30,15,15,30,5,10,30,60,6,6,6,10,20,10,10,20,5,18,15,15,30,6,12,1,10,5,10,6,1,
6,5,1,3,1,2,1],[1,1,15,15,10,1,20,15,3,45,5,15,6,10,10,10,15,1,15,20,5,45,45,
10,6,6,6,10,30,30,5,15,15,1,15,60,5,10,6,15,10,10,10,6,18,18,30,5,15,15,5,10,
6,6,6,10,10,10,5,18,5,15,6,6,6,1,10,5,6,1,5,1,3,1,1],[1,1,15,15,10,1,20,10,15,
5,15,30,6,10,10,10,15,1,15,20,15,5,15,10,6,6,6,10,10,10,5,15,15,10,30,20,5,10,
6,15,10,10,10,6,12,10,5,15,15,5,10,6,6,6,10,10,10,5,6,15,5,6,12,1,10,5,6,1,5,
1,1,1,1],[1,3,15,45,10,4,80,1,45,45,5,45,30,6,30,10,30,60,15,15,45,40,18,6,18,
10,30,30,20,1,20,5,40,120,24,5,40,6,18,18,10,15,15,24,10,20,6,5,5,10,6,1,10,6,
3,5,4,1,1],[1,3,15,45,10,4,80,1,45,45,5,45,30,6,30,10,30,60,15,15,45,40,18,6,
18,10,30,30,1,20,5,20,40,120,24,5,40,6,18,18,10,15,15,24,10,20,6,5,5,10,6,1,
10,6,3,5,4,1,1],[1,3,15,45,10,4,80,45,1,45,5,45,30,6,30,10,30,60,15,15,45,40,
18,6,18,30,10,30,20,1,5,20,40,120,24,5,40,18,6,18,10,15,15,24,10,20,6,5,10,5,
6,1,10,6,3,5,4,1,1],[1,3,15,45,40,10,1,20,45,30,5,45,60,60,90,6,30,10,30,40,
40,15,10,20,1,15,10,60,60,15,45,45,60,90,10,18,6,18,30,30,30,40,60,5,5,10,15,
15,15,15,15,15,10,30,60,6,45,10,10,10,10,10,10,10,18,24,30,15,20,15,5,15,30,
15,15,15,15,6,6,6,10,10,10,10,10,10,10,5,18,15,15,6,6,6,1,10,5,5,5,6,3,4,5,1,
3,1,1,1,1],[1,15,45,15,20,20,45,45,15,45,15,45,45,36,60,20,60,60,60,20,45,15,
45,15,45,45,45,10,36,60,15,15,60,45,20,10,20,36,15,15,15,15,15,15,10,10,10,15,
15,6,6,10,6,6,1,1],[1,45,1,45,20,20,15,45,45,15,45,45,45,36,20,60,60,20,60,60,
15,45,45,15,45,45,45,10,36,36,36,60,15,15,60,45,10,10,10,36,15,15,15,15,15,15,
10,10,10,15,15,6,6,10,6,6,1,1],[1,15,70,10,5,105,105,6,10,70,70,1,105,6,70,5,
15,10,42,10,35,5,15,15,6,10,10,10,15,1,6,10,5,7,6,5,1,1],[1,21,28,7,7,21,1,28,
8,21,21,7,7,28,7,7,21,8,7,7,28,8,21,7,7,8,7,7,1,1],[1,36,21,3,63,36,1,5,10,8,
16,84,27,126,108,162,1,12,63,9,9,36,9,81,27,27,54,9,21,1,9,21,9,9,36,72,20,15,
18,54,3,12,9,30,108,6,18,24,24,72,144,12,63,18,36,36,162,54,81,12,36,54,54,3,
9,27,9,36,54,27,27,27,27,27,5,8,4,16,16,21,9,42,27,27,1,3,21,21,3,3,9,9,9,27,
27,9,9,9,27,18,6,12,54,18,108,36,72,108,24,36,15,12,18,54,9,9,3,18,9,1,12,9,3,
9,12,18,18,18,2,18,18,6,1,2,2,4,72,9,36,54,27,27,54,54,9,27,27,27,18,5,5,5,18,
18,18,3,3,3,3,8,24,24,32,16,12,4,12,48,48,48,3,21,3,9,9,27,9,27,27,3,9,9,9,1,
3,9,3,9,3,3,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,6,12,9,18,18,18,12,12,18,18,54,18,
36,6,12,9,4,18,12,18,9,3,9,9,9,3,12,9,9,18,9,6,18,18,18,4,3,3,9,6,18,6,6,18,
36,4,27,3,18,6,18,18,6,6,5,18,3,3,18,3,3,18,3,3,3,6,6,3,6,3,1,3,3,3,3,3,3,3,6,
1,2,24,24,16,24,48,12,1,2,2,4,3,9,9,9,9,9,9,3,9,9,9,9,9,9,9,9,18,12,18,9,9,18,
18,9,18,12,18,3,9,9,9,3,9,18,8,4,8,4,4,3,3,3,3,3,3,3,18,6,6,6,3,3,3,1,3,3,3,3,
1,3,3,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,3,2,6,6,12,4,2,3,4,1,3,6,
6,6,2,6,12,9,9,9,8,4,8,4,4,1,3,3,3,3,3,3,3,3,3,3,1,3,3,3,3,3,3,3,1,3,3,3,6,3,
4,6,6,3,3,6,4,1,1,1,1,1,1,1,3,3,3,1,1,1,1,1,1,1,1],[1,36,9,3,27,36,4,2,16,2,
16,54,18,54,27,54,9,27,1,18,27,18,18,54,24,36,24,36,12,6,6,18,48,6,36,6,18,12,
48,27,54,54,18,54,9,27,27,27,27,27,18,54,8,8,1,16,16,36,36,36,18,36,36,6,2,6,
18,18,18,1,4,2,4,18,18,18,18,6,6,36,36,27,27,27,27,9,27,27,24,8,24,24,24,8,12,
3,1,3,12,48,48,36,18,18,18,6,18,6,18,9,6,6,12,18,6,6,12,18,18,18,18,4,27,24,
24,6,6,6,2,1,4,6,3,3,6,6,6,1,3,6,2,4,18,9,9,9,18,8,4,8,6,3,6,6,6,2,6,6,1,6,12,
3,3,3,3,3,6,6,6,2,12,9,4,4,4,1,3,3,3,6,3,1,3,3,6,4,2,1,2,3,1,1,1,1],[1,18,3,3,
9,54,4,5,40,8,64,9,54,54,1,9,9,54,1,9,9,27,27,6,54,12,12,36,72,6,15,3,18,9,24,
24,72,24,9,27,27,18,54,3,3,9,27,27,27,27,27,54,20,32,4,64,64,36,4,36,36,3,18,
18,5,3,36,9,9,9,9,1,18,9,18,6,72,8,72,1,8,2,16,1,10,8,16,24,48,27,9,27,1,9,27,
27,48,4,12,12,24,12,96,12,36,18,3,9,9,6,18,3,9,9,9,3,9,9,9,18,24,3,6,3,6,3,9,
6,18,16,9,12,4,12,4,8,12,5,4,16,12,1,8,24,8,16,8,16,9,9,3,9,1,9,3,9,1,9,1,2,2,
2,4,9,9,18,18,16,12,4,12,6,1,12,3,3,24,3,24,9,3,3,6,4,4,3,3,1,3,1,2,3,1,2,2,4,
4,4,3,1,3,6,1,1],[1,36,3,3,9,4,5,40,8,64,18,18,18,1,18,9,9,1,18,9,6,18,24,12,
36,24,15,3,9,96,24,24,18,9,18,18,18,36,3,9,3,9,9,9,20,32,4,64,64,12,4,12,18,
18,18,12,5,12,18,9,9,1,9,18,6,18,8,1,8,2,16,1,10,8,16,24,48,9,9,9,1,9,9,9,24,
16,12,24,12,96,12,18,9,18,18,18,36,12,3,9,3,9,9,9,6,3,24,6,3,6,6,24,24,16,9,
12,4,12,4,8,12,5,4,16,12,1,8,24,8,16,8,16,9,9,9,1,9,9,9,3,1,3,1,2,2,2,4,3,3,
16,12,4,12,4,6,3,24,3,6,24,24,9,3,3,6,4,4,3,1,3,1,2,3,3,1,2,2,4,4,4,3,3,6,1,1,
1],[1,21,3,63,4,5,40,8,64,1,63,9,9,9,81,27,1,63,6,54,84,15,18,54,3,9,24,24,24,
72,3,9,27,21,9,27,27,81,27,27,27,54,20,32,4,64,64,4,36,36,5,54,54,9,9,3,18,9,
18,1,9,3,9,6,8,1,8,2,16,1,10,8,16,72,72,24,48,1,27,27,9,9,27,27,72,12,96,12,4,
12,36,18,3,9,18,9,3,9,9,9,3,9,9,9,18,3,3,9,6,6,18,21,6,24,16,9,12,4,12,4,8,5,
4,16,12,12,1,8,24,8,16,8,16,3,1,3,9,9,9,9,1,9,9,1,2,2,2,4,18,18,9,9,16,12,12,
24,18,3,4,3,1,3,24,3,3,9,6,4,4,3,1,3,1,2,3,3,1,2,2,4,4,4,3,1,3,6,1,1],[1,22,
25,3,75,30,10,50,11,50,90,90,5,30,75,45,15,30,15,135,45,1,11,75,15,15,30,30,
30,90,6,40,20,30,20,60,10,20,30,30,25,30,30,30,90,30,11,50,45,45,60,10,30,30,
30,15,15,45,15,30,30,25,25,45,15,45,15,45,135,45,45,15,45,45,90,15,45,30,60,
12,18,6,18,12,20,20,20,40,40,40,40,10,20,20,10,10,60,60,20,30,10,30,10,10,60,
30,60,5,15,30,30,25,15,15,15,45,15,30,30,45,45,5,15,15,15,5,15,45,45,5,15,15,
15,15,15,15,15,15,15,15,15,45,15,45,15,15,15,6,12,12,6,6,18,18,6,6,12,6,18,12,
10,20,20,20,20,20,20,20,20,40,10,10,20,10,10,20,10,10,20,10,10,30,60,20,30,20,
10,10,15,5,15,15,15,15,15,15,15,15,5,15,15,15,15,15,15,15,6,6,6,12,12,6,6,6,6,
6,6,18,18,10,10,10,20,20,20,20,5,10,10,10,10,10,10,5,5,5,15,15,5,1,15,6,6,6,6,
6,6,6,10,5,5,5,5,5,5,5,2,3,2,1,3,6,5,1,2,2,1,1,1,3,1,3,1,1,1,1,1,1,1,1],[1,30,
5,15,75,30,10,30,45,90,50,150,1,10,75,45,1,30,1,45,15,5,45,75,45,45,30,30,90,
30,6,30,50,10,30,50,30,30,10,45,30,10,10,90,30,45,90,75,75,60,10,10,90,30,15,
1,15,15,10,30,25,45,45,15,15,45,15,45,75,15,45,15,15,30,45,75,90,60,30,6,30,
30,30,60,50,50,10,10,50,30,30,10,10,30,10,50,30,30,10,30,50,60,5,15,10,30,45,
15,15,15,45,15,30,30,75,45,15,15,45,15,5,15,15,15,15,15,15,15,15,15,5,45,5,15,
15,15,15,45,15,15,15,15,6,30,18,6,6,18,6,18,18,12,10,30,10,10,10,30,10,50,30,
10,10,30,10,10,10,10,10,10,10,10,10,10,10,10,30,10,10,10,10,10,30,10,10,10,10,
25,15,15,15,15,15,15,15,15,15,15,15,15,15,5,15,15,15,6,6,6,18,6,6,6,30,18,6,6,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,5,15,5,25,5,15,5,1,15,6,6,6,6,6,
6,6,10,5,5,5,5,5,5,5,3,5,3,6,5,3,5,1,1,1,3,1,1,1,1,1,1,1,1,1],[1,21,3,63,1,28,
56,7,63,63,7,21,63,63,21,1,21,84,28,84,168,8,21,21,63,21,63,63,63,28,7,21,21,
7,21,21,21,7,14,14,7,84,24,63,28,28,28,8,16,8,7,21,21,7,21,21,21,21,7,21,42,
21,42,7,21,7,7,28,8,24,21,21,21,8,7,7,7,7,7,7,8,7,7,1,3,1,1],[1,30,15,10,2,40,
2,40,45,5,45,6,30,10,30,60,30,10,30,60,30,45,20,20,1,40,40,6,30,45,15,10,15,
45,5,20,10,20,12,12,30,10,20,10,30,20,10,20,15,60,18,45,15,15,30,10,12,12,30,
10,15,10,5,20,15,10,20,6,10,10,10,6,18,1,15,5,15,30,6,10,5,3,6,2,2,5,3,1,1,
1],[1,9,15,135,10,2,40,2,40,135,5,135,6,90,10,90,30,6,90,360,30,6,90,360,45,
20,20,1,40,40,54,6,54,90,10,90,90,5,20,10,20,90,90,12,12,20,60,60,20,60,60,15,
1,15,120,120,54,30,45,30,10,12,36,36,12,36,36,60,60,10,5,20,15,15,10,20,6,10,
10,10,36,36,1,30,5,30,6,6,6,10,5,9,6,2,2,5,6,6,1,1],[1,15,30,10,2,40,2,40,5,
45,45,6,10,30,30,30,30,30,60,10,60,45,20,20,1,40,40,6,30,10,5,20,10,20,45,45,
15,15,12,12,20,20,30,30,10,10,15,10,60,20,18,15,45,15,30,10,12,12,30,10,10,5,
20,15,15,10,20,6,10,10,10,18,6,1,15,15,5,30,6,10,5,3,6,2,2,5,3,1,1,1],[1,45,1,
20,40,20,40,15,15,45,36,45,60,60,45,20,20,10,40,40,36,15,15,45,15,30,30,15,36,
60,60,10,45,15,15,10,36,15,15,10,10,6,6,15,15,10,6,6,1,1],[1,15,5,75,10,75,5,
75,50,150,1,24,6,50,10,50,75,25,75,15,30,1,15,120,6,30,5,50,50,50,10,75,15,5,
15,30,10,30,120,60,25,50,6,10,10,10,15,5,15,30,25,6,6,6,5,10,10,10,1,15,6,6,6,
5,10,5,6,5,5,1,1,1],[1,15,5,75,10,5,75,75,50,150,1,24,6,50,10,50,25,75,75,15,
30,1,15,120,6,30,50,50,50,5,10,75,5,15,15,30,10,30,120,60,50,25,6,10,10,10,5,
15,15,30,25,6,6,6,10,10,10,5,1,15,6,6,6,10,5,5,6,5,5,1,1,1],[1,25,5,125,10,5,
125,75,15,15,225,75,1,24,6,50,20,100,10,50,25,15,75,75,75,75,75,25,30,1,25,
120,6,30,100,50,10,100,50,5,10,75,5,25,15,15,15,45,15,30,6,30,50,25,5,25,6,10,
20,20,10,10,5,15,15,15,15,15,15,30,25,6,6,6,20,10,10,20,10,5,1,15,6,6,6,10,5,
5,5,5,1,5,6,5,5,1,1,1,1,1],[1,15,5,75,10,5,75,75,5,75,1,24,6,50,10,50,25,75,
75,15,30,1,15,120,6,30,50,50,50,5,10,25,5,15,15,30,30,30,1,15,50,25,6,10,10,
10,5,15,15,30,25,6,6,6,10,10,10,5,1,5,6,6,6,10,5,5,6,5,5,1,1,1],[1,10,5,15,75,
50,10,15,50,150,75,5,15,75,75,75,6,24,1,10,50,10,10,50,50,50,15,75,75,25,75,
75,75,10,30,15,6,30,120,1,15,10,10,50,50,50,50,50,50,5,10,75,15,10,30,30,5,15,
15,15,15,15,6,30,50,25,5,25,6,10,10,10,10,10,10,10,15,15,15,30,5,15,15,15,25,
6,6,6,10,10,10,10,10,10,10,5,1,15,6,6,6,10,5,5,5,1,5,5,6,5,5,1,1,1,1,1],[1,5,
15,75,10,50,75,5,75,150,6,24,1,50,10,50,75,25,75,30,15,6,30,120,1,15,50,50,50,
5,10,75,30,5,15,15,60,120,10,30,50,25,6,10,10,10,30,5,15,15,25,6,6,6,10,10,10,
5,1,15,6,6,6,10,5,5,6,5,5,1,1,1],[1,5,15,75,10,75,5,75,5,75,6,24,1,50,10,50,
25,75,75,30,15,6,30,120,1,15,50,50,50,5,10,25,30,30,30,5,15,15,1,15,50,25,6,
10,10,10,30,5,15,15,25,6,6,6,10,10,10,5,1,5,6,6,6,10,5,5,6,5,5,1,1,1],[1,15,
10,7,140,5,6,10,105,1,70,6,5,35,70,15,42,70,10,20,1,5,42,6,35,10,15,1,10,6,5,
10,5,6,10,7,6,5,1,1],[1,21,5,105,5,8,1,105,15,9,9,135,45,45,45,30,1,25,18,90,
3,15,40,24,120,5,9,45,105,15,45,45,135,45,45,45,4,21,1,21,25,90,90,15,15,3,30,
15,1,15,3,15,30,1,2,120,5,8,15,45,15,45,45,45,45,20,4,20,1,21,3,9,9,27,9,9,9,
6,90,15,15,30,15,5,15,15,15,3,15,15,15,5,3,15,10,6,30,5,18,18,3,3,8,24,24,45,
40,20,1,1,9,9,21,3,9,9,27,9,9,9,4,15,5,15,15,15,15,15,5,15,15,30,5,18,18,3,3,
3,6,3,1,3,3,3,6,1,2,24,20,5,1,5,3,9,3,9,9,9,9,4,4,4,15,15,18,3,3,6,3,1,3,3,3,
3,3,3,3,1,3,3,2,6,6,5,5,5,9,8,4,1,3,1,3,3,3,3,3,1,3,3,6,5,4,1,1,1,3,3,1,1,1,
1],[1,15,3,45,60,4,10,80,90,45,5,90,45,1,45,30,30,90,90,30,6,60,40,30,60,10,
30,60,240,45,90,90,15,45,15,45,45,45,30,90,180,40,18,6,18,60,20,60,40,5,1,10,
20,30,30,30,30,30,30,120,60,60,24,45,45,45,5,45,45,45,40,40,40,6,18,18,36,36,
60,15,15,120,30,10,30,10,30,60,30,30,30,30,120,24,45,20,40,10,6,18,18,15,5,15,
10,5,15,15,30,24,6,1,20,10,10,10,18,15,30,15,6,6,3,5,10,4,6,3,1,3,5,4,3,1,1],[
1,44,25,3,75,60,1,10,20,100,33,150,180,270,5,60,75,45,15,60,15,135,45,45,90,6,
11,25,1,11,25,15,15,40,80,40,30,20,60,10,40,30,60,120,20,60,60,75,90,60,60,
270,90,135,20,60,90,90,15,15,45,45,60,90,45,45,45,45,45,10,24,18,6,18,24,25,
11,50,45,45,5,15,25,25,15,15,15,15,15,45,45,15,15,15,45,30,20,40,60,60,120,
120,80,120,80,120,30,40,60,60,30,30,10,60,30,60,60,5,10,6,45,60,90,45,45,90,
90,15,45,45,45,20,10,10,10,20,20,20,10,10,10,10,18,24,36,18,18,24,6,18,15,25,
15,15,15,45,15,45,45,5,15,15,15,5,15,15,5,15,15,15,15,15,15,15,15,15,15,15,15,
15,15,15,15,15,15,30,60,40,60,60,60,120,10,20,30,30,20,15,5,15,30,30,6,6,6,6,
6,6,6,45,10,20,20,20,20,20,20,10,20,10,10,20,10,10,20,10,10,10,20,20,10,20,10,
5,18,24,36,18,18,15,15,15,15,15,15,15,5,15,15,15,15,15,15,15,30,15,30,20,30,
15,15,6,6,6,6,6,6,6,6,6,6,6,1,10,10,10,20,20,20,20,5,10,10,10,10,5,5,5,5,5,5,
18,15,15,6,6,6,6,6,6,6,4,3,4,1,3,10,5,5,5,5,5,5,5,1,6,3,4,6,3,3,5,1,1,1,1,1,1,
1,3,1,1,1,1,1,1,1,1],[1,60,15,3,45,4,10,80,90,30,90,5,90,45,45,1,30,45,30,90,
6,40,60,60,60,30,10,30,240,90,45,90,30,90,180,15,45,15,45,45,45,40,18,6,18,60,
20,60,30,60,60,30,10,30,30,30,30,5,40,1,20,120,24,45,45,45,5,45,45,45,40,40,
40,6,18,18,36,36,60,30,30,30,30,30,10,30,30,15,120,15,10,60,120,24,45,40,20,
10,6,18,18,30,15,5,15,5,10,15,15,24,6,1,20,10,10,10,18,15,15,30,6,6,3,10,5,4,
6,3,1,3,5,4,3,1,1],[1,6,15,3,45,90,4,10,80,3,90,90,5,45,45,90,1,3,45,45,45,30,
90,6,4,60,60,60,30,10,30,60,240,3,45,45,30,90,15,15,45,45,45,45,45,45,90,40,
36,18,6,18,36,60,20,60,30,60,60,10,30,30,30,30,30,5,40,1,20,120,24,45,15,45,5,
15,45,45,40,40,40,18,36,36,6,18,18,18,18,18,20,30,30,30,30,10,30,30,30,15,15,
1,15,60,24,24,24,15,40,20,10,18,18,18,6,18,18,18,30,15,5,15,5,10,15,15,24,6,1,
20,10,10,10,18,15,5,6,6,6,3,6,10,5,4,6,1,3,3,5,4,3,1,1],[1,25,3,75,4,10,80,5,
75,45,15,15,135,45,1,75,30,90,6,100,30,20,60,10,30,80,15,15,45,25,45,45,45,
135,45,45,45,90,40,18,6,18,20,60,60,10,60,60,30,30,10,60,30,60,5,40,1,20,120,
24,5,45,45,15,15,45,45,80,40,6,18,18,6,18,60,20,10,30,60,30,15,5,15,25,20,24,
15,40,20,10,6,18,18,10,5,15,15,5,10,15,15,24,6,1,20,20,10,6,5,15,6,3,1,3,10,5,
4,6,1,3,3,5,4,1,1,1],[1,20,3,15,45,10,1,20,10,30,30,1,10,45,45,5,30,45,30,30,
6,20,30,10,20,30,40,20,15,3,45,60,10,15,30,30,30,60,15,15,15,15,45,15,10,18,6,
18,10,20,20,10,10,30,10,30,10,20,10,30,30,5,30,45,45,1,45,10,30,30,20,20,5,10,
6,15,15,15,5,15,15,15,20,10,20,30,30,6,18,18,12,12,10,10,10,10,10,10,10,20,10,
15,30,30,30,60,15,15,15,45,15,15,15,30,10,6,18,18,15,10,20,20,30,10,10,30,10,
10,5,6,6,6,10,15,15,15,5,15,15,15,5,10,5,5,12,18,6,18,12,1,10,10,10,10,10,10,
10,10,15,6,15,5,6,6,6,2,3,10,5,5,5,1,6,1,1,1,5,2,3,1,1,1,1,1],[1,30,3,15,45,
10,10,4,80,30,45,90,30,90,45,1,45,5,45,45,15,15,30,6,30,30,10,30,30,10,10,60,
40,80,45,10,90,45,90,45,45,15,45,15,45,45,15,45,40,18,6,18,30,30,60,30,30,30,
30,10,30,30,10,30,20,1,5,20,40,60,60,120,24,45,15,45,45,45,5,15,40,40,40,18,6,
18,18,6,30,10,30,30,30,10,10,10,20,15,15,15,5,60,24,15,10,40,20,18,6,18,10,15,
15,15,5,10,5,15,6,24,1,10,10,10,20,6,15,5,6,3,3,1,10,5,4,6,3,3,1,5,4,1,1,1],[
1,50,7,15,105,30,10,1,20,70,75,210,90,270,105,3,135,5,75,105,45,45,90,6,50,70,
10,50,70,30,30,40,20,10,15,2,30,1,10,15,60,120,20,60,105,30,270,75,210,135,
135,35,105,45,135,135,45,135,10,42,6,42,70,50,140,90,90,70,70,30,90,90,30,90,
20,10,30,30,120,120,20,60,20,60,15,10,30,5,15,30,30,30,15,15,15,15,1,30,15,30,
60,60,5,10,6,105,45,135,135,135,15,45,20,10,10,10,20,20,20,10,10,10,10,42,18,
54,30,18,70,30,90,90,90,30,30,15,60,10,30,30,30,30,30,30,30,60,15,30,15,15,10,
5,15,30,15,15,15,30,30,15,30,15,35,10,25,15,30,30,6,12,12,6,6,45,10,20,20,20,
20,20,20,10,20,10,10,20,10,10,20,10,10,10,20,20,10,20,10,5,42,18,54,30,15,15,
15,30,30,30,30,15,15,5,15,35,45,15,30,6,12,12,6,6,6,12,6,1,10,10,10,20,20,20,
20,10,10,10,10,5,10,10,5,5,18,15,15,12,6,6,12,6,5,7,3,10,10,5,5,10,5,1,6,7,9,
3,5,2,1,2,1,1,3,1,2,2,1,1,1],[1,20,1,15,15,60,10,1,20,10,30,30,15,30,3,45,5,
30,15,90,90,90,6,20,10,10,20,10,60,60,40,20,15,1,20,15,20,120,15,30,90,30,30,
5,15,45,45,45,45,90,90,10,6,6,6,10,20,20,10,10,30,30,30,30,60,60,20,10,30,30,
5,30,15,30,15,30,10,1,15,30,60,60,5,10,6,15,45,45,45,15,45,45,20,10,20,10,20,
10,20,6,18,18,12,36,10,30,30,30,30,30,30,15,60,10,30,30,30,5,30,15,15,15,15,
15,30,5,10,10,30,60,6,6,6,45,10,20,20,10,20,10,10,10,10,10,20,5,6,18,18,30,15,
15,15,15,5,15,15,5,15,15,30,12,6,12,6,6,1,10,10,10,10,10,10,10,10,5,10,18,15,
15,6,6,6,2,1,6,10,5,5,5,1,6,1,3,3,5,2,1,2,3,1,1,1,1],[1,10,3,15,45,30,10,4,80,
15,30,90,1,45,45,30,5,15,45,45,45,30,90,6,10,30,10,10,30,30,30,80,40,60,15,45,
45,10,90,15,15,45,45,45,45,45,45,90,40,18,6,18,10,30,30,10,30,30,30,30,30,30,
30,60,60,20,60,1,20,5,40,120,24,45,15,45,5,15,45,45,40,40,40,6,18,18,6,18,30,
10,30,10,10,30,30,60,20,10,15,15,5,15,24,15,40,10,20,6,18,18,10,15,5,15,5,10,
15,15,24,6,1,10,10,10,20,6,15,5,6,1,3,3,10,5,4,6,3,1,3,5,4,1,1,1],[1,30,3,15,
45,90,10,1,20,45,90,270,1,45,45,90,5,45,45,135,135,30,270,6,30,30,10,30,30,90,
90,10,15,3,30,45,60,60,180,45,135,135,30,270,15,15,45,135,135,135,135,135,270,
10,18,6,18,30,90,90,10,30,30,90,90,90,90,90,180,15,30,90,5,15,45,45,45,45,1,
30,45,90,30,180,20,180,5,10,6,135,45,135,5,45,135,135,10,10,10,30,30,30,30,6,
18,18,18,54,90,30,90,10,30,90,90,15,45,45,10,90,15,45,45,45,15,45,45,45,90,60,
15,30,15,45,30,90,6,18,18,45,10,30,30,30,30,30,30,10,30,30,30,60,5,6,54,54,30,
45,15,45,5,45,15,45,5,10,45,45,90,90,6,18,18,6,18,1,30,10,30,10,30,10,30,5,15,
15,18,15,15,30,18,6,18,3,3,9,10,15,5,15,1,6,9,1,9,5,1,3,3,3,3,1,3,1],[1,30,1,
15,15,30,10,1,20,45,30,90,10,15,3,45,5,45,15,45,45,30,6,30,10,10,30,10,30,30,
10,15,1,10,15,60,20,60,45,45,45,30,90,15,5,15,45,45,45,45,45,10,6,6,6,30,30,
30,10,10,10,30,30,30,30,30,15,10,30,5,15,15,15,15,15,1,15,10,30,60,60,20,5,10,
6,45,45,45,15,45,15,45,10,10,10,10,10,10,10,6,18,18,18,18,12,30,30,30,10,30,
30,30,15,15,15,10,30,5,15,15,15,15,15,15,15,60,5,10,15,15,30,30,6,6,6,45,10,
10,10,10,10,10,10,10,10,10,10,5,6,18,18,30,15,15,15,5,15,15,15,5,15,15,30,6,6,
6,6,6,12,1,10,10,10,10,10,10,10,5,5,5,18,15,15,6,6,6,3,1,3,10,5,5,5,1,6,3,1,3,
5,1,1,1,3,1,1,1,1],[1,9,15,135,10,1,20,1,135,45,3,3,135,45,5,135,30,90,6,90,
10,90,15,2,30,3,45,120,60,15,3,45,45,45,45,45,135,45,45,45,90,10,54,6,54,10,
90,30,30,30,90,30,5,30,30,45,45,1,30,15,30,1,45,1,15,30,60,20,60,5,10,6,5,45,
45,15,15,45,45,10,20,20,30,30,6,54,18,18,18,54,18,10,30,30,30,30,30,30,10,15,
15,30,15,15,45,15,15,1,15,15,15,30,60,45,30,6,12,12,18,18,15,20,30,10,20,10,
10,30,10,10,5,6,18,18,18,18,18,18,30,5,5,5,15,15,15,15,5,10,15,15,12,18,6,12,
6,6,18,6,6,1,10,10,10,10,10,10,10,10,15,18,5,15,6,6,6,6,6,6,6,9,10,5,5,5,1,6,
1,3,3,5,2,3,3,1,1,1,1],[1,7,15,105,60,10,1,20,10,105,3,30,135,5,105,90,90,30,
90,90,6,70,10,70,60,60,15,2,30,1,20,15,120,20,120,15,30,90,35,15,45,45,135,45,
90,90,180,10,42,6,42,10,70,10,30,30,90,30,60,60,5,30,30,15,30,15,30,1,30,15,
30,10,10,30,30,60,60,20,5,10,6,15,45,45,15,45,45,45,10,20,20,10,20,10,20,42,
18,54,36,12,10,30,30,30,30,30,30,10,5,30,15,30,15,15,15,15,15,30,10,30,60,60,
35,10,30,60,6,12,12,6,6,45,20,10,20,10,20,10,10,10,10,10,20,5,6,18,18,30,5,15,
15,15,15,15,15,5,15,15,30,12,6,12,6,12,6,12,1,10,10,10,10,10,10,10,10,5,10,18,
15,15,6,6,6,7,6,10,5,5,5,1,6,1,3,3,5,2,1,2,3,1,1,1,1],[1,60,3,15,45,10,4,80,
30,90,90,1,30,45,45,5,90,45,30,90,6,60,30,10,60,30,40,60,240,30,45,90,90,90,
180,15,45,15,45,45,45,40,18,6,18,30,60,60,10,30,30,30,30,30,60,20,60,1,20,5,
40,120,24,45,45,45,5,45,45,45,40,40,40,6,18,18,36,36,30,30,30,10,30,30,30,60,
10,15,60,15,30,120,120,24,45,40,10,20,6,18,18,30,15,5,15,5,10,15,15,24,6,1,10,
10,10,20,18,15,15,30,6,6,3,10,5,4,6,3,1,3,5,4,3,1,1],[1,9,15,135,10,4,80,1,
135,45,3,3,135,45,5,135,30,90,6,90,10,90,60,4,60,240,15,3,45,45,45,45,45,135,
45,45,45,90,40,54,6,54,10,90,30,30,30,90,30,20,60,60,1,20,5,40,120,24,5,45,45,
15,15,45,45,40,40,40,6,54,18,18,18,54,18,10,30,30,30,30,30,30,20,15,1,15,60,
45,24,24,24,15,40,10,20,6,18,18,18,18,18,18,30,5,15,15,5,10,15,15,24,6,1,10,
10,10,20,18,5,15,6,6,6,9,10,5,4,6,1,3,3,5,4,3,1,1],[1,9,15,135,10,4,80,1,135,
45,3,3,135,45,5,135,30,90,6,90,10,90,60,4,60,240,15,3,45,45,45,45,45,135,45,
45,45,90,40,54,6,54,10,90,30,30,30,90,30,1,20,5,20,40,60,60,120,24,5,45,45,15,
15,45,45,40,40,40,6,54,18,18,18,54,18,10,30,30,30,30,30,30,15,1,15,60,45,20,
24,24,24,15,10,40,20,6,18,18,18,18,18,18,30,5,5,10,15,15,15,15,6,24,1,10,10,
10,20,18,15,5,6,6,6,9,10,5,4,6,1,3,3,5,4,3,1,1],[1,9,15,135,10,4,80,3,135,135,
1,3,45,45,5,135,90,30,6,90,10,90,60,4,60,240,45,3,45,45,135,15,45,45,45,45,45,
90,40,54,6,54,30,90,90,10,30,30,30,20,1,5,20,40,60,60,120,24,15,45,45,5,15,45,
45,40,40,40,18,54,54,6,18,18,18,30,30,30,10,30,30,30,45,15,60,1,15,20,24,24,
24,15,10,40,20,18,18,18,6,18,18,18,30,15,5,15,10,5,15,15,6,24,1,10,10,10,20,
18,15,5,6,6,6,9,10,5,4,6,3,1,3,5,4,3,1,1],[1,3,15,45,60,10,4,80,30,45,1,30,45,
5,45,90,90,90,90,30,6,30,10,30,60,60,60,40,240,45,30,90,15,45,15,45,45,45,90,
90,180,40,18,6,18,30,30,30,10,30,30,30,60,60,20,1,5,20,40,60,60,120,24,45,45,
45,5,45,45,45,40,40,40,18,6,18,36,36,30,30,30,10,30,30,30,15,15,60,10,30,60,
120,120,24,45,10,40,20,18,6,18,30,15,5,15,10,5,15,15,6,24,1,10,10,10,20,18,15,
30,15,6,3,6,10,5,4,6,3,1,3,5,4,3,1,1],[1,30,45,1,45,30,20,20,90,15,90,90,90,
15,90,45,45,15,90,45,45,45,15,90,36,120,40,20,60,60,20,120,60,60,40,90,45,90,
30,90,90,90,45,30,90,90,90,15,45,45,45,90,90,15,45,45,45,45,10,36,36,36,60,
120,120,20,60,15,15,60,60,20,120,120,45,90,90,15,45,90,90,15,45,45,45,40,10,
10,10,40,36,72,30,60,30,30,15,15,15,15,15,30,15,60,45,20,20,20,10,20,20,10,10,
20,36,15,30,30,15,30,30,15,15,15,15,6,6,10,20,20,10,10,15,15,12,6,12,6,10,6,6,
1,2,1,1],[1,45,3,135,20,20,15,135,135,15,45,135,135,1,135,90,90,36,60,60,180,
60,60,180,45,45,135,45,135,45,135,135,135,135,135,270,10,108,36,108,20,180,
180,15,15,20,180,180,15,135,135,15,45,135,135,30,10,30,36,108,108,60,45,15,45,
45,15,45,60,45,10,30,30,10,30,36,15,45,45,15,45,45,6,6,10,30,30,15,15,18,18,
10,6,6,1,3,1],[1,45,1,45,20,20,15,45,45,15,45,45,45,15,15,90,36,20,60,60,20,
60,60,15,45,45,45,45,15,45,45,45,45,45,10,36,36,36,20,60,60,15,15,60,60,20,45,
45,15,15,45,45,45,10,10,10,36,72,60,15,15,15,15,15,15,60,45,20,10,20,10,10,36,
15,15,15,15,15,15,6,6,10,10,10,15,15,6,6,10,6,6,1,1,1],[1,21,5,105,28,7,105,
105,7,21,105,105,1,140,28,140,8,35,21,105,35,105,105,105,21,1,21,7,7,140,40,
28,105,7,21,21,7,21,21,21,8,35,7,35,35,7,35,28,28,28,8,7,21,21,7,21,21,21,40,
35,35,7,7,28,8,21,8,7,7,7,7,7,7,1,8,7,7,5,1,1],[1,54,21,3,63,54,4,5,40,8,64,
126,27,126,162,162,1,18,63,9,9,54,9,81,27,1,27,63,27,27,6,18,54,54,36,84,36,
108,30,15,18,54,3,18,9,120,24,72,24,24,72,18,63,18,54,54,162,54,27,126,81,81,
36,18,54,54,54,3,9,27,9,54,54,21,63,9,9,27,27,27,81,81,27,27,27,27,54,27,81,
54,108,20,32,4,64,64,84,108,4,12,36,36,36,18,54,18,108,108,36,36,15,18,18,5,
15,54,54,54,9,9,9,9,3,18,9,18,1,18,9,3,9,18,18,6,18,72,8,72,1,8,2,16,1,10,8,
16,72,72,24,48,9,54,54,63,9,27,27,81,27,54,54,81,81,9,27,27,27,1,9,27,27,9,9,
9,27,27,27,9,27,9,27,27,27,27,27,27,27,27,27,72,20,72,12,12,96,48,12,4,12,192,
12,36,36,12,36,36,36,18,9,18,18,18,18,18,54,18,54,54,18,18,36,36,18,15,54,9,9,
6,18,18,18,18,3,9,54,9,9,9,18,18,9,18,9,3,9,9,9,9,9,9,9,18,3,18,9,9,18,9,18,
36,24,6,3,3,9,24,6,6,18,21,6,9,9,30,18,24,24,16,9,27,27,27,27,27,27,9,27,27,
27,9,27,27,27,12,72,24,12,12,4,12,12,12,4,8,24,24,24,5,4,16,24,12,12,1,8,24,8,
16,8,16,36,9,18,18,9,9,9,9,9,9,18,18,54,18,18,18,9,18,18,9,9,3,9,9,9,3,1,9,3,
9,9,3,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,3,1,3,9,9,9,1,2,2,2,4,18,18,21,3,27,9,9,9,
18,18,32,16,27,12,12,12,12,4,12,12,12,4,12,24,24,12,24,6,5,18,18,3,3,4,48,12,
3,6,1,3,24,24,24,24,9,9,9,9,9,9,9,9,9,9,3,9,9,9,3,9,9,9,3,9,3,9,3,3,9,6,6,6,9,
9,9,9,16,4,4,12,12,12,3,6,6,18,3,3,6,3,1,3,3,3,1,2,3,3,3,3,3,1,2,2,4,9,9,9,4,
4,4,8,4,3,3,3,3,1,3,3,3,3,3,3,1,6,3,3,1,3,3,6,6,4,4,1,3,3,3,1,1,1,1],[1,45,20,
20,15,15,45,1,144,36,60,60,45,10,45,36,15,15,20,20,10,15,15,45,15,15,36,60,60,
10,45,10,36,15,15,6,6,10,15,15,10,6,6,1,1],[1,21,3,63,4,28,224,7,63,63,7,21,
63,63,1,63,42,42,84,84,28,84,8,21,21,63,21,63,21,63,63,63,63,63,126,112,28,28,
84,7,56,56,7,1,28,56,84,84,168,168,24,7,63,63,7,21,63,63,112,32,64,8,84,21,7,
21,21,21,7,21,28,8,21,28,28,28,24,7,7,14,21,21,7,21,14,7,21,21,32,28,28,28,8,
16,8,21,7,7,7,7,1,8,7,7,3,4,1,1],[1,60,9,15,135,10,2,40,2,40,90,90,270,135,5,
90,135,6,60,90,10,60,90,120,60,20,30,6,90,120,360,30,6,90,360,135,90,270,45,
135,20,20,1,40,40,54,6,54,90,60,180,90,90,90,360,60,180,30,10,30,90,90,90,5,
20,10,20,90,90,12,12,135,60,20,20,20,60,60,60,20,60,60,20,40,15,1,15,120,120,
120,54,36,90,90,90,90,30,90,30,90,45,30,60,30,10,12,36,36,12,36,36,60,60,60,
20,60,60,60,60,30,10,30,120,10,5,20,30,15,15,10,20,54,6,90,45,20,10,20,10,10,
12,36,36,36,1,60,30,15,30,10,30,30,5,60,15,30,6,6,6,20,10,20,10,10,5,36,6,9,
15,30,12,6,2,2,10,10,5,9,6,6,2,6,6,5,1,6,2,1,1],[1,9,15,135,60,10,2,40,2,40,
135,90,5,135,90,90,270,6,90,10,90,60,60,30,6,90,360,30,60,120,6,90,20,360,120,
45,135,135,90,270,20,20,1,40,40,54,6,54,90,90,90,60,180,10,90,90,5,20,10,20,
90,90,90,90,30,30,60,180,360,12,12,135,20,60,60,20,60,60,60,60,20,20,15,1,15,
20,120,120,120,40,54,36,90,30,45,30,90,30,30,60,90,90,90,90,10,12,36,36,12,36,
36,60,60,60,20,60,60,60,60,10,5,20,15,15,30,30,10,30,120,10,20,54,6,45,90,10,
10,10,20,20,36,36,36,12,1,60,30,5,30,15,15,30,30,30,10,60,6,6,6,10,20,10,10,
20,5,36,9,6,15,30,6,12,2,2,10,5,10,9,6,6,6,6,2,5,1,6,1,2,1],[1,9,15,135,10,2,
40,2,40,135,9,135,5,135,6,90,10,90,30,6,90,360,30,6,90,360,45,135,135,20,20,1,
40,40,54,6,54,90,90,90,10,90,90,5,20,10,20,90,90,12,12,45,20,60,60,20,60,60,
15,1,15,120,120,54,54,54,90,30,45,30,10,12,36,36,12,36,36,60,60,10,5,20,15,15,
1,15,10,20,54,6,45,10,10,10,36,36,1,30,5,15,15,30,6,6,6,10,10,10,5,9,5,6,6,6,
2,2,10,5,9,6,6,6,5,1,1,1],[1,3,15,45,10,5,100,8,160,1,45,45,5,45,30,6,30,10,
30,75,3,45,60,120,15,15,45,50,80,4,160,160,18,6,18,10,30,30,25,45,45,1,45,30,
20,1,20,2,40,5,50,40,80,120,240,30,48,5,50,30,30,80,60,6,18,18,10,15,15,45,15,
30,15,30,40,30,18,18,48,30,10,30,10,20,25,20,80,1,20,120,20,40,40,80,6,24,5,5,
5,10,10,10,20,40,18,6,18,6,12,1,10,10,20,15,15,24,10,20,6,6,12,3,5,5,10,5,10,
10,20,6,5,8,10,1,6,3,5,4,1,1,2,1],[1,45,45,45,1,20,40,20,40,135,135,15,135,15,
135,45,36,15,45,15,180,60,60,120,180,60,60,120,135,45,135,45,135,45,135,20,20,
10,40,40,36,45,45,15,45,15,45,45,180,15,30,30,15,180,36,135,60,20,60,60,60,20,
60,10,60,120,120,108,45,15,45,15,45,45,45,45,45,45,15,90,90,15,45,10,36,60,15,
15,60,30,30,10,45,45,45,20,10,20,36,6,6,15,15,15,15,15,15,30,10,10,10,18,18,
15,15,6,6,10,6,6,1,3,1,1],[1,45,3,135,1,20,40,20,40,15,135,135,15,45,135,135,
36,45,1,45,60,60,180,360,60,60,180,360,45,45,135,45,135,135,135,20,20,10,40,
40,108,36,108,15,45,45,15,45,45,45,180,15,30,30,15,180,36,135,20,60,60,20,60,
60,30,10,30,120,120,108,15,45,45,15,45,45,45,45,15,45,90,45,90,15,45,10,36,36,
36,60,15,15,60,30,10,30,45,45,45,10,10,10,36,6,6,15,15,15,15,15,15,30,10,10,
10,18,18,15,15,6,6,10,6,6,1,3,1,1],[1,15,45,15,1,20,40,20,40,45,45,15,45,15,
45,45,36,45,15,15,120,60,20,60,60,120,60,20,45,15,45,15,45,45,45,20,20,10,40,
40,36,15,45,45,15,45,45,45,60,15,30,30,15,60,36,45,20,60,60,60,60,20,20,40,10,
20,40,36,45,45,15,15,45,45,45,15,30,30,15,15,15,15,15,10,36,60,15,15,60,10,10,
10,45,15,15,20,10,20,36,6,6,15,15,15,15,15,15,10,10,10,10,6,6,15,15,6,6,10,6,
6,1,1,1,1],[1,25,5,125,10,5,125,75,15,15,225,75,55,75,150,1,24,6,50,20,100,10,
50,25,15,75,125,75,75,75,225,75,75,75,25,30,1,25,120,6,30,50,100,100,50,50,10,
100,50,5,10,75,75,25,75,75,75,75,5,25,15,15,15,45,15,30,30,30,11,15,30,120,6,
30,60,100,50,50,100,50,25,5,25,6,10,20,20,10,10,75,5,15,15,25,15,15,15,45,15,
15,15,30,30,30,50,25,25,25,6,6,6,10,20,20,10,10,10,20,10,5,1,15,15,5,15,15,15,
15,30,25,6,6,6,6,6,6,6,20,10,10,20,10,5,5,5,5,1,5,15,6,6,6,10,5,5,5,5,5,5,1,6,
5,5,1,1,1,1,1,1,1],[1,10,5,15,75,50,10,15,50,150,50,75,5,75,5,15,75,75,75,150,
6,24,1,10,50,10,10,50,50,50,15,75,75,50,150,75,25,75,75,75,75,75,75,10,30,15,
6,30,120,1,15,10,10,50,50,50,50,50,50,50,50,50,50,5,10,75,75,75,75,75,25,75,
15,10,30,30,30,30,5,15,15,15,15,15,6,30,60,120,10,1,15,30,50,50,50,50,50,50,
50,25,5,25,6,10,10,10,10,10,10,10,75,15,15,15,10,30,30,30,30,5,15,15,15,15,15,
15,15,50,25,25,25,6,6,6,10,10,10,10,10,10,10,10,10,10,10,5,1,15,15,15,30,15,5,
15,15,25,6,6,6,6,6,6,6,10,10,10,10,10,10,10,5,5,5,1,5,5,15,6,6,6,10,5,5,5,5,5,
5,1,6,5,5,1,1,1,1,1,1,1],[1,15,70,10,7,140,5,105,105,6,10,70,70,105,70,140,1,
105,70,6,70,5,35,70,105,105,15,10,42,70,70,70,42,10,20,1,35,105,5,15,15,42,6,
70,35,10,10,10,15,20,10,15,42,1,10,6,35,10,5,10,5,15,15,6,7,10,10,10,6,5,15,7,
6,10,5,7,6,1,5,1,1,1],[1,105,35,140,35,105,315,126,210,105,420,120,315,70,126,
105,35,105,35,70,105,70,126,120,105,105,210,105,70,35,42,21,35,21,30,7,1],[1,
66,25,3,75,90,4,10,80,150,33,150,270,270,5,90,75,45,15,90,15,135,45,1,33,75,
45,45,30,90,90,90,6,44,100,60,120,60,30,20,60,10,60,30,240,80,240,90,75,90,90,
90,270,90,33,150,135,135,180,30,90,90,90,15,15,45,45,90,90,25,75,45,45,45,45,
45,135,135,45,45,45,45,90,45,135,90,180,40,36,18,6,18,36,100,180,20,60,60,60,
60,60,60,60,120,120,120,120,30,60,60,10,30,60,60,60,30,30,30,30,10,60,30,60,
240,5,40,1,20,120,24,45,90,90,75,45,45,45,135,45,90,90,135,135,15,45,45,45,5,
45,45,45,15,45,45,45,45,45,15,45,15,45,45,45,45,45,45,45,45,45,80,40,80,40,40,
18,36,36,6,18,18,18,18,18,36,6,18,36,60,60,60,20,60,60,60,30,60,60,60,60,60,
60,60,60,120,30,30,60,30,30,20,10,30,60,30,30,30,60,60,30,60,30,30,15,5,15,
120,25,20,11,15,60,60,120,24,24,24,45,45,45,45,45,45,45,15,45,45,45,15,45,45,
45,40,80,80,40,40,20,10,18,18,18,36,36,6,18,18,18,18,18,18,18,60,30,30,30,60,
60,60,60,15,30,30,30,30,10,30,15,5,15,15,15,15,5,10,25,15,45,15,15,15,60,24,
24,24,6,1,45,40,20,20,20,10,20,20,10,10,18,18,18,18,6,18,18,30,15,15,15,15,15,
5,15,15,5,15,30,15,15,15,15,24,6,6,6,6,3,6,1,3,20,20,10,10,20,10,5,18,4,15,15,
6,6,6,3,6,6,1,3,3,3,3,3,10,5,5,5,4,4,4,6,3,3,3,3,1,3,3,5,4,1,3,1,1,1,1],[1,50,
9,15,135,90,10,1,20,70,75,210,150,450,1,10,135,45,3,90,3,135,45,5,75,135,135,
135,30,30,270,90,6,50,90,10,50,90,90,90,40,20,10,15,2,30,3,30,45,60,120,60,
180,10,105,30,30,30,270,90,75,210,225,225,60,30,30,270,90,15,3,45,15,30,90,45,
105,45,15,45,135,45,135,225,45,135,45,45,90,135,225,270,180,10,54,6,54,70,50,
140,150,150,10,10,90,70,30,10,30,90,30,150,90,90,30,90,150,180,20,10,30,30,
120,120,20,60,20,60,15,30,90,5,15,30,30,30,45,45,45,45,1,30,15,30,1,30,45,1,
15,10,90,30,30,180,60,20,180,60,20,5,10,6,15,30,90,105,15,45,45,135,45,90,90,
225,135,45,45,135,45,5,15,45,45,45,15,15,45,45,45,15,135,15,45,45,45,45,135,
45,45,45,45,20,10,10,10,20,20,20,30,30,30,30,6,54,18,18,18,54,18,30,54,12,10,
70,10,30,30,90,30,150,90,30,30,90,30,10,10,30,30,30,10,10,30,30,30,30,90,30,
30,30,30,30,90,30,30,30,30,20,10,15,30,60,60,10,10,30,30,30,30,30,30,30,30,60,
60,15,30,45,45,10,90,10,30,10,15,45,30,45,45,15,30,30,15,30,15,15,45,45,45,15,
15,15,15,90,1,10,15,15,30,15,30,60,60,60,60,60,45,30,25,45,30,90,6,12,12,18,
18,15,45,45,45,45,45,45,45,45,45,45,15,45,45,45,10,20,20,20,20,20,20,10,20,30,
30,20,30,30,20,30,30,10,20,20,10,20,10,10,30,30,30,10,10,10,10,60,5,6,18,18,
42,6,18,18,90,54,18,18,10,30,30,30,30,30,30,30,30,30,30,30,30,30,30,15,60,10,
30,15,15,15,15,15,15,30,30,30,30,30,30,45,15,15,45,15,15,5,5,45,5,15,15,15,45,
15,15,15,15,15,15,15,15,15,15,15,15,15,15,5,10,35,5,75,15,45,15,90,90,6,12,12,
18,18,6,12,6,6,18,6,6,12,1,45,10,10,10,10,10,10,10,20,20,20,20,30,10,10,30,10,
10,10,10,30,10,10,10,10,30,10,10,10,10,10,10,10,10,10,10,10,10,10,10,5,10,10,
15,15,6,18,18,18,18,18,18,30,15,15,15,15,15,15,15,15,15,15,15,5,15,15,15,5,15,
15,30,15,15,15,15,12,18,6,12,6,6,18,6,6,6,6,6,6,5,9,9,10,10,10,10,10,10,10,10,
10,10,10,10,10,10,10,10,15,5,10,5,5,15,5,5,18,1,15,15,6,6,6,6,6,6,6,7,15,1,1,
3,9,3,10,5,5,5,5,5,5,5,2,1,2,3,3,6,1,3,3,3,3,3,3,5,1,2,2,3,1,1,3,1,1,3,1,1,1,
1,1,1,1,1],[1,30,9,15,135,70,10,4,80,30,45,90,90,270,3,30,135,135,1,90,3,45,
45,5,45,135,105,105,90,90,270,30,6,30,90,10,30,90,70,70,60,40,80,4,60,40,240,
240,30,45,90,10,30,90,90,45,90,135,135,180,30,30,270,90,45,3,45,45,30,90,45,
45,135,45,15,135,45,45,135,45,135,45,45,90,105,135,270,180,40,54,6,54,30,30,
60,90,90,30,30,90,30,90,30,10,90,30,90,30,90,30,70,90,180,20,1,5,20,40,60,60,
60,60,60,60,120,40,120,240,24,45,30,90,45,45,15,45,45,45,90,90,135,45,45,45,
135,45,15,45,45,45,45,45,45,45,45,45,5,135,15,15,45,45,45,135,45,45,45,45,40,
40,40,40,40,40,40,18,54,54,6,18,18,18,18,42,36,30,30,30,10,30,30,30,90,30,30,
30,90,30,30,30,30,30,30,30,30,30,30,30,10,90,30,10,30,30,30,90,30,30,30,30,10,
20,45,15,60,60,1,10,15,15,35,60,20,60,120,60,60,60,60,120,24,24,24,45,45,45,
15,45,45,45,45,45,45,45,15,45,45,45,10,40,40,40,40,40,40,40,20,18,18,18,18,18,
6,18,54,54,18,18,30,30,30,10,30,30,30,30,30,30,30,30,30,30,30,15,10,30,60,15,
15,15,45,5,45,15,10,5,15,15,15,15,15,60,6,24,24,24,1,45,10,10,10,10,10,10,10,
40,20,20,20,18,18,18,6,18,18,18,30,15,15,15,15,15,15,5,15,15,15,30,5,15,15,15,
6,6,6,24,3,9,7,10,10,10,10,10,10,10,5,20,18,4,15,15,6,6,6,3,9,3,3,1,9,3,10,5,
5,5,4,4,4,6,3,1,3,3,3,3,3,5,1,4,3,1,1,1,1],[1,70,9,15,135,30,10,4,80,90,105,
270,90,270,1,30,135,45,3,30,3,135,45,5,105,135,45,45,30,90,90,90,6,70,90,10,
70,90,30,30,80,40,40,60,4,60,240,240,30,135,90,30,30,270,90,105,270,135,135,
180,10,30,90,90,15,3,45,45,30,90,45,135,45,45,45,45,45,135,135,45,45,45,45,90,
45,135,90,180,40,54,6,54,90,70,180,90,90,10,30,90,90,30,30,30,30,30,90,90,30,
30,30,90,60,60,240,40,120,60,20,60,60,60,60,1,20,5,40,120,24,45,30,90,135,45,
45,45,135,45,90,90,135,135,15,45,45,45,5,45,45,45,15,45,45,45,45,45,15,45,15,
45,45,45,45,45,45,45,45,45,40,40,40,40,40,40,40,6,54,18,18,18,54,18,42,18,36,
30,90,30,30,30,90,30,90,90,10,30,30,30,10,30,30,10,30,30,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,60,60,60,20,10,60,60,20,60,10,15,1,15,60,60,45,35,
15,120,120,24,24,24,45,45,45,45,45,45,45,15,45,45,45,15,45,45,45,40,40,40,40,
40,40,40,10,20,6,18,18,54,18,18,18,54,18,18,18,30,30,30,30,30,30,30,10,30,30,
30,30,30,30,30,60,15,60,10,30,15,5,15,15,15,15,5,10,45,15,45,15,15,15,24,24,
24,6,1,45,40,10,10,10,10,10,10,10,20,20,20,18,18,6,18,18,18,18,30,15,15,15,15,
15,5,15,15,5,15,30,15,15,15,15,24,6,6,6,7,9,3,10,10,10,10,10,10,10,20,5,18,4,
15,15,6,6,6,9,9,1,3,3,3,3,10,5,5,5,4,4,4,6,3,3,3,1,3,3,3,5,4,1,3,1,1,1,1],[1,
30,45,3,135,30,20,20,90,15,90,90,90,15,90,135,135,15,90,45,135,135,1,15,135,
15,15,90,90,90,90,36,120,40,60,60,180,60,120,60,180,40,90,45,90,30,90,90,90,
15,90,45,45,180,30,90,90,90,45,45,135,45,90,90,45,45,135,45,45,45,135,135,45,
135,45,135,135,270,15,45,90,180,10,108,36,108,60,120,120,20,20,20,180,180,60,
15,15,20,60,60,180,180,20,20,120,120,45,90,90,45,45,15,45,45,45,90,90,45,45,
15,45,45,45,15,45,135,135,15,45,45,45,45,45,15,45,45,15,45,45,135,45,135,45,
45,45,40,30,10,30,40,36,108,108,72,72,30,60,60,60,30,20,60,60,60,30,45,15,45,
45,15,30,45,60,60,20,60,60,60,60,45,45,45,15,45,45,45,15,45,45,45,45,45,45,45,
20,20,20,10,20,30,30,20,20,20,10,30,20,36,36,36,15,30,30,60,15,30,30,15,15,15,
45,45,15,15,15,45,15,45,15,60,6,6,45,20,10,20,20,20,10,20,10,10,30,10,30,20,
36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,12,18,12,18,10,10,10,10,10,10,10,
15,15,6,6,6,6,6,6,10,1,6,6,2,3,1,1,1,1],[1,45,5,225,20,20,15,225,225,15,45,
225,225,1,144,36,100,60,300,100,60,300,75,45,225,75,225,225,225,10,45,180,1,
45,720,36,180,300,15,15,300,20,20,225,50,10,50,15,45,45,15,45,45,45,180,75,15,
75,75,15,75,36,20,60,60,20,60,60,50,10,50,15,45,45,15,45,45,45,10,75,75,36,36,
36,60,15,15,60,6,6,50,45,10,10,10,36,15,15,15,15,15,15,30,30,10,10,10,15,15,6,
6,10,1,6,6,5,1,1],[1,15,15,225,10,10,200,5,225,225,5,225,150,6,144,6,150,10,
150,150,10,150,600,75,75,225,100,90,90,6,90,720,6,90,50,150,150,50,150,150,5,
100,5,100,600,60,60,25,100,100,100,30,90,90,30,90,90,50,50,75,75,36,60,60,60,
60,60,60,100,50,50,30,30,25,25,50,36,36,36,60,60,30,30,1,1,120,50,50,36,30,30,
15,15,25,10,10,5,5,6,6,10,10,6,6,5,5,1],[1,15,15,225,10,10,200,225,5,225,5,
225,150,6,144,6,150,10,150,150,10,150,600,75,75,225,100,90,90,6,90,720,6,90,
150,50,150,100,5,5,50,100,150,150,600,60,60,25,100,100,100,90,30,90,30,90,90,
50,75,75,50,36,60,60,60,60,60,60,50,100,50,30,30,25,50,25,36,36,36,60,30,30,
60,1,1,60,60,50,50,36,30,30,15,15,25,10,10,5,5,6,6,10,10,6,6,5,5,1],[1,60,9,
15,135,60,10,2,40,2,40,90,90,270,135,90,9,135,5,90,135,90,90,270,6,60,90,10,
60,90,60,60,120,60,20,30,6,90,120,360,30,60,120,6,90,20,360,120,135,90,270,90,
270,45,135,135,135,135,135,90,270,20,20,1,40,40,54,6,54,90,60,180,90,90,90,90,
90,90,60,180,90,360,60,180,30,10,30,90,90,90,5,20,10,20,90,90,90,90,30,30,60,
180,360,12,12,135,135,135,135,45,135,135,60,20,20,20,60,60,60,20,60,60,60,60,
20,20,20,40,15,1,15,20,120,120,120,120,40,54,54,54,36,36,90,90,90,90,90,90,90,
90,90,90,30,90,30,90,45,30,30,60,90,30,30,60,90,90,90,90,10,12,36,36,12,36,36,
135,60,60,60,20,60,60,60,60,60,20,60,60,60,60,30,10,30,120,10,5,20,30,15,15,
30,30,10,1,15,30,120,10,20,54,54,54,6,90,90,45,45,45,90,20,10,20,10,10,20,20,
12,36,36,36,36,12,1,60,60,30,15,30,10,30,10,30,30,5,30,60,15,15,15,15,15,30,
30,30,10,60,54,6,6,6,45,20,10,20,10,20,10,10,10,10,10,20,5,36,36,6,9,6,15,15,
15,30,15,5,15,15,30,12,6,12,6,6,2,2,10,10,10,10,10,10,10,10,5,10,9,9,9,15,6,6,
6,6,2,6,6,6,2,10,5,5,5,9,1,6,6,6,5,2,1,2,1,1,1,1],[1,30,3,15,45,90,10,5,100,8,
160,45,90,270,1,45,45,90,5,45,45,135,135,30,270,6,30,30,10,30,30,90,90,240,
120,10,75,3,30,45,60,60,180,120,45,135,135,30,270,15,15,45,135,135,135,135,
135,270,50,80,4,160,160,18,6,18,30,90,90,10,30,30,90,90,90,90,90,180,180,15,
30,90,25,15,180,45,45,45,45,1,30,45,90,30,180,20,180,1,20,2,40,5,50,40,80,120,
240,30,48,135,45,135,5,45,135,135,120,10,50,10,120,30,30,30,30,80,40,80,60,
240,6,18,18,18,54,90,30,90,10,30,90,90,180,60,30,15,45,45,10,90,15,45,45,45,
15,45,45,45,90,60,15,30,15,30,15,45,30,90,40,30,18,18,48,45,120,10,30,30,30,
30,30,30,10,30,30,30,60,10,20,60,25,20,80,60,1,20,120,20,40,40,80,6,54,54,24,
30,45,45,15,45,5,45,15,45,5,45,5,10,10,10,20,45,45,90,90,40,40,40,6,72,18,18,
6,18,6,12,1,30,30,10,30,10,30,10,30,10,30,20,60,10,20,5,60,15,15,120,15,60,18,
24,45,15,15,30,40,10,20,18,6,18,6,12,3,3,9,30,10,15,15,5,15,5,10,15,5,10,10,
20,24,6,5,8,10,10,10,20,6,18,9,1,9,15,5,15,30,6,12,1,3,3,10,5,3,4,6,3,1,3,1,2,
5,4,3,1,1,1],[1,60,3,15,45,10,5,100,8,160,30,90,90,1,30,45,45,5,90,45,30,90,6,
60,30,10,60,30,120,60,40,75,3,45,240,60,120,30,45,90,90,90,180,15,45,15,45,45,
45,50,80,4,160,160,18,6,18,30,60,60,10,30,30,30,30,30,60,30,90,90,60,25,60,90,
45,45,1,45,30,30,90,20,60,1,20,2,40,5,50,40,80,120,240,30,48,45,45,45,5,45,45,
45,60,40,50,40,60,30,30,80,40,80,60,240,6,18,18,36,36,30,30,30,10,30,30,30,60,
30,45,90,90,90,180,60,15,45,15,45,45,45,10,15,60,30,15,30,30,120,120,40,30,18,
18,48,45,30,60,60,40,30,30,10,30,30,30,10,20,60,25,20,80,60,1,20,120,20,40,40,
80,6,18,18,24,30,45,45,45,5,45,45,45,15,5,15,5,10,10,10,20,15,15,40,40,40,24,
36,18,6,18,36,6,12,1,30,30,30,10,30,30,30,10,10,10,20,60,20,30,15,120,15,10,
60,120,20,18,24,45,15,15,30,40,10,20,18,6,18,6,12,6,3,30,10,15,5,15,5,10,15,
15,5,10,10,20,24,6,5,8,10,10,10,20,18,6,3,1,3,15,15,30,5,6,6,4,3,10,5,3,4,6,3,
1,3,1,2,5,4,3,1,1,1],[1,21,15,315,10,5,100,8,160,1,315,45,9,9,405,135,5,315,
30,270,6,210,10,210,75,18,270,3,45,1080,60,120,24,360,1440,15,9,135,105,45,
135,135,405,135,135,135,270,50,80,4,160,160,126,6,126,10,210,30,90,90,270,90,
25,270,270,45,45,3,90,45,90,1,45,3,45,30,180,20,180,1,20,2,40,5,50,40,80,360,
360,120,240,30,48,5,135,135,45,45,135,135,50,180,180,30,30,80,240,240,60,4,60,
480,480,6,126,18,54,54,162,54,10,90,90,90,90,90,90,90,15,45,90,45,15,45,45,45,
3,45,45,45,90,180,15,3,45,180,30,6,90,360,105,30,120,40,30,108,108,18,18,48,
144,144,45,180,30,30,60,30,10,30,30,30,10,20,240,25,20,80,60,60,1,20,120,20,
40,40,80,6,54,54,54,54,54,54,24,90,15,5,15,45,45,45,45,5,45,45,5,10,10,10,20,
90,90,45,45,40,40,40,108,18,18,36,18,6,18,18,18,6,12,144,1,30,10,30,30,30,30,
30,10,30,30,20,60,60,90,15,20,15,1,15,60,60,120,120,54,24,24,24,15,15,45,30,
40,10,20,18,6,18,18,18,18,18,6,18,18,12,36,36,21,30,30,60,15,5,15,5,10,15,15,
5,10,10,20,24,6,5,8,10,10,10,20,18,18,36,1,9,9,15,5,15,30,6,6,6,18,3,24,10,5,
9,4,6,3,1,3,1,2,5,4,3,3,6,1,1],[1,60,45,3,135,60,1,20,40,20,40,180,45,270,180,
270,15,180,135,135,15,180,45,135,135,45,270,36,15,45,1,15,45,15,15,120,240,80,
60,60,180,120,360,60,240,120,60,180,80,360,120,180,135,270,60,180,270,270,135,
60,180,270,270,45,45,135,135,180,270,45,135,135,135,135,20,20,10,40,40,108,36,
108,45,15,90,45,45,15,45,45,45,45,45,15,45,45,45,45,45,45,15,45,90,180,360,
240,360,60,180,15,30,30,15,180,180,60,240,360,360,36,135,180,270,45,135,270,
270,45,135,135,135,60,20,20,20,60,60,60,20,60,60,60,60,20,20,80,40,30,10,30,
80,120,120,120,120,40,108,144,45,45,45,15,45,45,45,45,45,15,45,45,45,15,45,45,
15,45,45,45,45,45,45,15,45,45,15,45,45,45,45,45,45,45,45,60,30,180,30,60,60,
45,15,45,90,90,45,90,90,15,60,45,180,10,36,36,36,135,60,60,60,20,60,60,60,15,
15,60,60,20,60,60,60,60,60,40,60,120,30,60,40,10,30,60,120,108,45,45,45,15,45,
45,45,15,45,45,45,45,45,45,45,45,60,90,90,45,90,60,90,45,45,45,45,20,10,20,10,
10,20,20,36,36,36,6,6,15,60,15,15,15,15,15,15,15,15,15,15,15,15,15,60,30,40,
60,30,30,45,45,45,20,10,20,10,20,10,10,10,10,10,20,36,24,18,24,18,15,15,15,15,
15,15,15,15,15,15,15,15,15,15,30,6,6,10,10,10,10,10,10,10,18,18,15,15,6,6,6,6,
6,6,1,10,6,6,4,3,1,3,1,1,1,1],[1,45,3,135,4,20,160,20,160,15,135,135,15,45,
135,135,1,135,90,90,36,180,60,60,180,60,60,180,45,45,135,45,135,45,135,135,
135,135,135,270,80,80,10,160,160,108,36,108,60,60,180,20,180,180,15,120,120,
15,1,40,20,40,180,180,360,360,144,15,135,135,15,45,135,135,240,240,30,10,30,
36,108,108,180,60,45,15,45,45,45,15,45,60,40,144,45,60,60,20,10,40,30,30,10,
30,20,40,36,15,45,45,15,30,15,45,30,15,45,45,40,36,6,6,60,60,60,10,30,30,60,
15,45,15,40,10,36,18,18,10,15,15,24,24,10,6,6,15,15,1,10,6,6,3,4,1,1],[1,21,
105,105,35,140,105,315,35,105,105,315,315,126,210,35,210,105,105,420,420,140,
120,105,105,315,105,315,315,315,70,126,126,126,105,210,210,105,105,35,105,105,
105,35,70,105,420,120,315,140,70,140,126,126,126,120,105,105,105,105,105,35,
105,105,105,35,105,210,105,105,70,70,70,35,126,120,105,105,105,42,21,70,35,35,
35,42,21,21,21,35,30,21,7,7,1,1],[1,105,1,105,35,140,35,105,105,105,315,315,
315,126,35,210,210,105,105,140,420,420,120,35,315,315,105,315,315,315,70,126,
126,126,210,105,105,210,105,35,105,105,105,35,70,105,420,120,315,70,70,70,126,
126,126,120,105,35,105,105,105,105,105,35,105,105,70,210,210,105,105,105,70,
70,70,35,126,120,105,105,210,105,42,21,70,35,35,35,42,21,21,21,35,30,21,30,7,
7,1,1],[1,45,5,225,20,20,15,225,225,15,45,225,225,75,75,450,1,144,36,100,60,
300,100,60,300,75,45,225,225,225,75,225,225,225,225,225,10,45,180,1,45,720,36,
180,100,300,300,15,15,300,300,100,20,20,225,225,75,75,225,225,225,50,10,50,15,
45,45,15,45,45,45,180,15,15,90,720,360,300,75,15,75,75,15,75,300,36,20,60,60,
20,60,60,225,100,50,100,10,50,15,45,45,45,45,15,45,45,45,45,45,180,10,75,75,
75,75,75,75,36,36,36,20,60,60,15,15,60,60,20,6,6,50,50,50,45,45,15,15,45,45,
45,10,10,10,75,75,36,36,36,60,15,15,15,15,15,15,60,30,30,50,45,20,10,20,10,10,
36,15,15,15,15,15,15,30,30,6,6,10,10,10,1,15,15,6,6,10,5,6,6,5,1,1,1],[1,100,
15,15,225,10,10,200,150,150,450,5,150,225,225,5,150,225,150,450,6,144,6,100,
150,10,100,150,200,100,100,150,10,150,600,600,150,225,450,150,450,900,75,225,
75,225,225,225,100,90,90,6,90,720,6,90,150,100,300,50,150,150,150,150,150,150,
600,100,300,150,50,150,150,150,150,5,100,5,100,600,60,60,225,225,225,25,225,
225,225,100,100,100,100,100,100,100,30,90,90,30,90,90,60,180,720,60,180,150,
150,150,50,150,150,150,150,150,150,150,150,50,150,50,75,300,75,50,300,600,36,
60,60,60,60,60,60,225,100,100,100,100,100,100,100,50,50,30,90,90,30,90,90,150,
150,75,25,75,25,50,75,75,36,36,36,60,60,60,60,60,60,30,30,1,1,120,100,50,50,
50,50,50,50,90,90,75,75,150,36,36,36,60,60,30,30,10,15,10,15,120,50,50,25,10,
10,36,30,30,15,5,15,15,5,15,25,6,6,10,10,10,10,10,10,15,15,6,6,10,5,10,5,6,6,
5,5,1,1],[1,10,15,15,225,150,10,10,200,15,150,450,5,225,225,150,5,15,225,225,
225,150,450,6,144,6,10,150,10,10,150,150,150,200,100,150,10,150,100,600,600,
15,225,225,50,450,75,75,225,225,225,225,225,225,450,100,60,90,90,6,90,720,6,
90,60,10,150,150,50,150,150,150,150,150,150,150,300,150,600,100,300,50,150,
150,150,150,150,5,100,5,100,600,60,60,225,75,225,25,75,225,225,100,100,100,
100,100,100,100,90,60,180,30,90,90,30,90,90,90,90,90,6,90,150,50,150,50,50,
150,150,150,150,150,100,50,50,150,150,150,75,75,5,75,300,36,60,60,60,60,60,60,
60,60,60,60,75,100,100,100,100,100,100,100,50,50,90,90,90,30,90,90,30,90,90,
90,50,150,75,25,75,25,50,75,75,36,36,36,60,60,60,60,60,60,60,60,60,60,30,30,1,
1,120,100,50,50,50,50,50,50,90,30,75,25,36,36,36,60,60,30,30,30,30,15,10,1,15,
15,50,50,25,10,10,36,30,30,5,15,15,15,5,15,25,6,6,10,10,10,10,10,10,15,5,6,6,
6,6,10,5,10,5,6,6,5,5,1,1],[1,25,15,375,10,10,200,5,375,225,15,15,675,225,5,
375,150,450,6,144,6,250,10,250,150,20,300,10,150,1200,200,75,15,225,125,225,
225,225,675,225,225,225,450,100,150,90,6,150,720,6,90,50,250,150,150,150,450,
150,50,300,300,150,150,10,300,150,300,600,5,100,5,100,600,60,60,25,225,225,75,
75,225,225,100,200,200,100,100,30,150,90,90,90,270,90,30,90,90,6,90,50,150,
150,150,150,150,150,100,50,150,300,150,75,5,75,300,125,100,36,60,60,60,60,120,
120,60,60,75,200,100,100,200,100,50,50,30,90,90,90,90,90,90,30,90,90,150,50,
25,75,75,25,50,75,75,36,36,36,60,60,60,120,60,60,120,60,30,30,1,1,120,100,50,
50,50,100,50,90,30,25,75,36,36,36,60,60,30,30,30,30,15,1,15,25,50,50,25,10,10,
36,30,30,5,15,15,5,15,15,25,6,6,10,10,10,20,10,5,15,6,6,6,6,10,5,10,5,6,6,5,5,
1,1],[1,15,15,225,100,10,10,200,150,225,5,150,225,5,225,150,150,450,450,150,6,
144,6,150,10,150,100,100,150,100,200,10,150,100,600,600,225,150,450,75,225,75,
225,225,225,150,450,900,100,90,90,6,90,720,6,90,150,150,150,50,150,150,150,
100,300,100,5,5,50,100,150,150,150,150,150,150,600,100,300,600,60,60,225,225,
225,25,225,225,225,100,100,100,100,100,100,100,90,30,90,30,90,90,60,180,720,
60,180,150,150,150,50,150,150,150,75,75,300,50,50,150,50,150,300,150,150,150,
150,600,36,60,60,60,60,60,60,225,50,100,100,100,100,100,100,100,50,90,30,90,
30,90,90,150,75,25,75,50,25,75,75,150,36,36,36,60,60,60,30,30,60,60,60,1,1,60,
60,50,50,50,100,50,50,50,90,90,75,150,75,36,36,36,60,30,30,60,10,15,15,10,60,
60,50,25,50,10,10,36,30,30,15,5,15,15,5,15,25,6,6,10,10,10,10,10,10,15,15,6,6,
10,5,5,10,6,6,5,5,1,1],[1,105,1,35,70,140,280,35,105,315,126,105,210,105,210,
420,120,315,35,140,70,280,280,126,35,105,315,105,35,105,70,35,70,70,140,210,
105,126,210,105,420,70,126,120,240,120,315,105,105,210,105,70,126,105,35,105,
35,70,105,70,35,70,70,140,70,126,42,21,120,105,105,210,105,35,70,35,21,30,42,
21,35,21,7,30,7,1,1],[1,90,21,15,315,90,10,5,100,8,160,210,135,630,270,810,1,
30,315,45,9,90,9,405,135,5,135,315,135,135,30,90,270,270,6,90,210,10,90,210,
90,90,360,180,50,75,18,270,3,30,45,300,1080,60,180,120,24,360,1440,30,315,90,
90,90,810,270,135,630,405,405,180,30,90,270,270,15,9,135,45,90,270,105,315,45,
45,135,135,135,405,405,135,135,135,135,270,135,405,270,540,50,80,4,160,160,
126,6,126,210,90,420,270,270,10,30,210,210,30,30,90,90,90,270,270,90,90,90,
270,180,60,30,270,90,1080,360,180,540,60,180,75,30,90,25,75,270,270,270,45,45,
45,45,3,90,45,90,1,30,45,3,45,30,90,30,90,180,180,20,180,180,60,1,20,2,40,5,
50,40,80,360,360,120,240,30,48,45,90,270,315,45,135,135,405,135,270,270,405,
405,45,135,135,135,5,45,135,135,45,45,45,135,135,135,45,135,45,135,135,135,
135,135,135,135,135,135,180,50,50,50,180,180,180,30,30,30,30,80,240,240,80,
160,60,4,60,480,480,480,6,126,18,54,54,162,54,54,54,36,30,210,30,90,90,270,90,
270,270,30,90,90,90,10,30,90,30,90,30,30,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,60,30,45,90,180,180,30,30,90,90,270,90,270,270,90,90,180,180,60,30,
75,270,45,45,10,90,30,90,90,15,45,270,45,45,45,90,90,45,90,45,15,45,45,45,45,
45,45,45,90,3,30,45,45,90,45,90,180,60,180,180,180,10,15,3,45,60,180,30,6,90,
360,105,30,45,45,150,90,120,120,40,30,108,108,18,18,48,144,144,45,135,135,135,
135,135,135,45,135,135,135,45,135,135,135,30,180,60,180,180,60,60,50,180,30,
30,180,30,30,180,30,30,30,60,60,30,60,30,10,30,30,30,30,30,30,30,60,10,20,240,
120,40,120,480,25,20,80,120,60,60,1,20,120,20,40,40,80,6,54,54,126,18,54,54,
162,54,54,54,24,30,90,90,90,90,90,90,30,90,90,90,90,90,90,90,45,180,30,90,45,
45,45,45,45,45,90,90,270,90,90,90,45,180,30,90,45,45,15,45,45,45,15,5,45,15,
45,45,15,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,15,5,15,45,45,45,5,10,
10,10,20,90,90,105,15,135,45,45,45,90,90,80,40,80,40,40,30,108,108,18,18,18,
36,18,6,18,18,18,36,6,12,144,1,135,30,30,30,30,30,30,30,180,60,60,60,30,30,30,
10,30,30,30,30,10,30,30,30,30,10,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
10,10,10,30,30,30,20,60,60,120,60,120,10,20,25,90,90,15,15,20,240,60,15,10,1,
15,60,60,120,60,20,60,120,120,18,54,18,54,54,54,54,24,24,24,90,45,45,45,45,45,
45,45,45,45,45,15,45,45,45,15,45,45,45,15,45,15,45,15,15,45,30,30,30,45,45,45,
45,80,40,80,40,40,10,20,108,18,18,36,18,6,18,18,18,18,18,18,18,6,18,18,12,36,
36,9,21,9,30,30,30,30,30,30,30,30,30,30,10,30,30,30,30,30,30,30,10,30,30,30,
60,60,15,10,30,60,90,15,15,30,15,5,15,15,15,5,10,15,15,15,15,15,60,5,10,10,20,
54,48,24,6,5,8,45,45,45,40,10,10,10,10,10,10,10,40,20,18,6,18,18,18,18,18,6,
18,18,36,21,27,1,3,9,9,9,30,30,15,15,15,15,5,15,15,15,15,15,15,5,30,15,15,5,
15,15,30,30,24,6,6,6,18,5,18,3,3,24,10,10,10,10,10,10,10,20,5,18,18,3,9,9,3,9,
9,9,4,15,15,15,6,6,6,3,18,6,3,3,1,3,3,3,1,2,10,5,5,5,9,8,4,6,3,3,3,3,1,3,3,3,
1,3,6,5,4,1,3,3,1,1,1,1],[1,90,45,3,135,90,4,20,160,20,160,270,45,270,270,270,
15,270,135,135,15,270,45,135,135,1,45,135,45,45,90,270,270,90,36,60,180,60,
360,120,60,60,180,480,60,360,60,180,120,480,270,135,270,90,270,270,270,45,270,
135,135,540,90,270,270,270,45,45,135,135,270,270,45,135,135,135,45,135,135,
135,135,135,135,135,135,270,45,135,270,540,80,80,10,160,160,108,36,108,180,
180,60,180,60,180,180,180,360,360,60,20,60,180,180,180,15,120,120,15,1,40,20,
40,180,180,180,180,60,60,360,360,360,360,144,135,270,270,135,135,45,135,135,
135,270,270,135,135,45,135,135,135,15,135,135,135,45,135,135,135,135,135,15,
135,45,45,135,135,135,135,135,135,135,135,240,80,240,240,240,80,120,30,10,30,
120,480,480,36,108,108,216,216,180,60,180,60,180,180,180,90,180,180,180,90,60,
180,60,180,90,45,15,45,360,45,45,360,15,90,45,15,15,120,180,60,60,120,180,180,
180,180,360,360,40,144,135,135,135,45,135,135,135,45,135,135,135,45,135,135,
135,240,60,60,240,60,60,60,20,10,40,60,30,30,60,60,60,10,30,60,20,40,36,108,
108,180,45,90,90,180,45,90,90,45,15,45,45,45,45,15,30,45,45,45,15,45,45,30,15,
45,45,45,45,45,180,80,40,80,144,36,6,6,135,60,60,60,60,60,60,60,30,60,60,60,
20,60,60,10,60,120,30,30,30,30,30,60,60,60,20,120,108,45,45,45,45,45,45,45,45,
15,45,45,15,45,90,15,45,45,45,90,15,45,45,45,40,40,40,10,36,36,18,36,18,60,60,
30,30,30,60,30,10,30,30,15,15,60,24,24,45,45,45,40,20,10,20,36,18,6,18,18,6,
18,30,15,15,15,15,15,15,24,24,1,10,10,10,18,18,15,15,6,6,6,3,10,4,6,6,3,1,3,4,
3,1,1],[1,42,105,1,105,210,35,140,210,21,210,630,630,35,210,105,105,105,630,
315,315,315,105,630,126,420,70,35,210,210,105,210,105,140,840,420,420,280,120,
210,105,210,210,630,630,630,315,210,630,630,630,35,315,315,105,630,630,105,
315,315,315,315,70,252,126,126,126,252,210,210,210,420,420,420,420,35,210,210,
210,105,105,105,210,105,35,210,105,105,105,210,210,35,70,105,420,420,140,840,
840,120,240,105,630,630,105,315,630,630,105,315,315,315,280,70,70,70,280,126,
252,252,126,126,252,126,126,120,210,105,210,210,210,210,210,210,210,210,420,
210,105,70,210,210,210,105,35,105,105,105,105,210,105,105,210,105,70,35,105,
105,70,210,210,105,105,210,105,420,120,315,140,140,140,70,140,140,70,70,140,
35,126,252,252,126,126,120,240,105,210,210,105,105,105,210,210,210,210,105,
210,210,35,105,105,105,35,105,210,105,105,42,21,70,140,140,70,70,70,35,70,35,
35,126,120,105,105,105,84,42,42,21,42,21,21,70,35,70,70,35,35,30,42,21,42,42,
21,21,35,30,7,21,14,7,7,1,2,1,1],[1,105,3,315,35,140,35,315,315,105,315,945,
945,1,315,210,630,126,105,210,630,105,315,420,420,1260,120,105,315,945,105,
315,315,945,945,945,945,945,1890,70,378,126,378,35,630,630,315,315,105,630,
315,630,35,315,105,315,210,35,70,105,140,1260,1260,360,35,945,945,105,315,945,
945,210,70,210,126,378,378,126,378,120,210,105,315,630,315,105,315,315,315,
105,315,315,315,630,105,105,315,210,210,630,315,105,315,420,120,315,70,210,
210,70,210,35,126,378,378,360,105,35,105,315,315,315,315,35,315,315,70,630,
630,105,315,315,42,21,70,210,210,105,35,105,126,120,105,105,210,105,126,63,21,
63,70,35,105,105,30,42,21,63,63,35,90,7,21,30,21,7,1,3,1],[1,105,1,105,35,140,
35,105,105,105,315,315,315,21,105,210,126,35,210,210,105,105,140,420,420,120,
35,315,315,105,105,105,315,315,315,315,315,70,126,126,126,35,210,210,105,105,
105,210,105,35,105,105,105,210,35,70,105,420,420,140,120,105,315,105,105,315,
315,315,70,70,70,126,126,126,126,126,252,120,210,105,105,210,105,35,105,105,
105,105,105,105,105,35,105,105,70,210,210,105,105,105,420,120,315,140,70,140,
70,70,35,126,126,126,120,105,35,105,105,105,105,105,35,105,105,210,105,105,
105,42,21,70,70,70,35,35,35,126,120,105,105,105,42,21,21,21,70,35,35,35,30,42,
21,21,21,35,30,7,21,7,7,1,1,1],[1,21,15,315,10,28,560,7,315,315,7,21,315,315,
5,315,210,210,6,210,10,210,420,28,420,1680,8,105,21,315,105,315,105,315,315,
315,315,315,630,280,126,6,126,70,210,210,70,210,210,210,7,140,140,7,5,140,280,
420,420,840,840,120,168,35,315,315,35,105,315,315,280,280,280,42,126,126,42,
126,126,126,80,160,8,70,210,210,70,210,210,210,105,7,105,420,105,105,420,7,
105,140,40,168,168,168,105,48,70,70,280,140,42,126,126,42,126,126,126,80,120,
210,35,35,70,105,105,35,105,70,35,105,105,42,42,168,1,80,48,70,70,70,70,70,70,
140,126,40,80,40,105,35,35,48,42,42,42,42,42,42,21,80,70,70,35,35,1,28,48,42,
42,7,7,21,40,35,35,15,28,8,21,10,5,7,7,6,10,8,7,7,6,5,1],[1,105,35,140,35,105,
315,1,504,126,210,105,420,120,315,70,105,126,105,35,105,35,70,105,35,140,70,
35,105,315,126,120,105,105,210,105,126,210,105,420,120,70,35,315,70,126,105,
35,105,35,70,105,42,21,35,70,126,120,105,105,210,105,21,30,70,35,42,21,35,7,
21,30,7,1,1],[1,110,25,15,375,150,10,10,200,250,165,750,450,1350,5,150,375,
225,15,150,15,675,225,5,165,375,225,225,150,450,450,450,6,144,6,110,250,10,
110,250,150,150,400,200,100,150,20,300,10,100,150,600,1200,200,600,150,375,
450,150,150,1350,450,165,750,675,675,900,50,150,450,450,75,15,225,225,150,450,
125,375,225,225,225,225,225,675,675,225,225,225,225,450,225,675,450,900,100,
60,150,90,6,150,720,6,90,60,250,110,500,450,450,50,150,250,250,150,150,150,
150,150,450,450,150,150,150,450,300,200,100,300,300,1200,1200,200,600,200,600,
150,100,300,50,150,300,300,300,150,150,150,150,10,300,150,300,600,600,5,100,5,
100,600,60,60,225,150,450,375,225,225,225,675,225,450,450,675,675,75,225,225,
225,25,225,225,225,75,225,225,225,225,225,75,225,75,225,225,225,225,225,225,
225,225,225,200,100,100,100,200,200,200,100,100,100,100,90,60,180,30,150,90,
90,90,270,90,30,90,90,90,90,90,66,90,180,720,60,6,90,180,150,250,150,150,150,
450,150,450,450,50,150,150,150,50,150,150,50,150,150,150,150,150,150,150,150,
150,150,150,150,150,150,150,150,150,150,150,600,100,300,300,300,300,300,300,
300,600,100,50,150,300,150,150,100,50,150,300,150,150,150,300,300,150,300,150,
50,75,5,75,300,300,125,100,55,75,300,300,600,36,60,60,60,60,60,60,60,60,120,
120,60,60,225,225,225,225,225,225,225,75,225,225,225,75,225,225,225,100,200,
200,200,200,200,200,100,200,100,100,200,100,100,200,100,100,100,200,200,100,
200,100,50,50,90,90,90,60,180,30,90,90,150,90,90,90,270,90,90,90,30,90,90,90,
90,90,90,90,150,150,150,150,150,150,150,50,150,150,150,150,150,150,150,150,
150,150,300,300,300,300,75,300,50,150,150,150,50,150,75,25,75,75,75,75,25,50,
125,75,225,75,75,75,300,36,36,36,60,60,60,60,60,60,60,60,60,60,60,60,120,120,
60,60,60,120,60,30,30,1,1,120,225,100,100,100,200,200,200,200,50,100,100,100,
100,50,50,50,50,50,50,50,100,100,50,50,90,90,90,90,90,30,90,90,90,90,90,30,90,
90,150,150,75,75,75,75,75,25,75,75,25,75,150,75,75,75,75,36,36,36,36,36,36,36,
60,60,60,60,60,60,60,120,60,60,120,60,30,30,30,30,30,30,10,15,10,1,15,11,25,
15,120,100,50,50,50,50,50,50,50,100,50,50,100,50,25,90,90,10,10,75,75,36,36,
36,60,60,30,30,30,30,30,30,15,10,30,5,15,15,15,15,15,25,45,5,15,15,15,15,50,
50,25,25,25,6,6,10,10,10,10,10,10,10,20,10,20,10,10,36,30,30,15,15,15,15,5,15,
15,15,15,15,5,15,15,15,25,6,6,6,6,6,6,10,10,10,10,10,10,10,5,10,20,20,10,10,5,
15,15,6,6,6,6,6,6,10,5,5,5,10,5,5,5,6,6,5,5,1,1,1,1,1],[1,63,105,315,1,35,70,
140,280,315,945,35,315,105,945,315,126,21,105,105,630,105,210,105,315,210,210,
630,1260,420,420,840,120,315,315,945,315,945,315,945,35,140,70,280,280,378,
126,378,105,315,35,105,105,315,315,315,630,630,315,105,35,315,105,315,630,70,
630,35,70,70,140,210,105,1260,360,126,945,210,35,210,105,105,420,420,140,420,
70,420,840,840,378,378,126,120,240,120,105,105,315,105,315,315,315,315,315,
315,315,315,105,315,105,315,210,105,105,210,210,630,105,315,70,126,126,126,
105,210,210,105,105,35,105,105,105,35,70,105,420,210,210,70,35,70,70,140,378,
120,360,315,315,315,315,140,70,140,126,126,126,42,21,120,105,105,105,105,105,
35,105,105,105,35,105,210,105,105,210,105,105,35,210,210,70,70,70,35,126,126,
63,63,21,120,105,105,105,105,30,42,21,70,35,35,35,63,42,21,21,21,7,35,30,21,
21,7,7,1,3,1,1],[1,105,3,315,1,35,70,140,280,35,315,315,105,315,945,945,126,
105,1,105,105,210,630,105,315,1260,210,420,420,1260,2520,120,105,315,945,315,
945,945,945,35,140,70,280,280,378,126,378,35,105,105,105,315,315,315,630,315,
105,630,315,35,315,105,315,630,70,630,35,70,70,140,210,105,1260,360,126,945,
35,210,210,105,105,140,420,420,210,70,210,840,840,378,126,378,120,240,120,35,
315,315,105,315,315,315,315,105,315,105,315,315,315,630,105,105,315,630,210,
210,630,1260,315,630,105,315,70,126,126,126,210,105,105,210,105,35,105,105,
105,35,70,105,420,210,70,210,35,70,70,140,378,120,360,315,315,315,630,315,70,
70,70,126,126,126,42,21,120,105,35,105,105,105,105,105,35,105,105,70,210,210,
105,105,105,210,105,35,105,210,210,420,70,70,70,35,126,126,63,21,63,120,105,
105,210,105,105,30,42,21,70,35,35,35,63,90,42,21,21,21,7,35,30,21,21,30,7,7,1,
3,1,1],[1,21,105,105,1,35,70,140,280,105,315,35,105,105,315,315,126,105,21,
105,420,210,35,210,105,105,210,420,840,420,140,120,105,105,315,105,315,315,
315,35,140,70,280,280,126,126,126,35,105,105,105,315,315,315,210,105,210,210,
105,105,35,105,105,105,70,210,35,70,70,140,210,105,420,120,126,315,35,210,210,
105,105,420,420,140,140,280,70,140,280,126,126,126,120,240,120,105,315,105,
105,315,315,315,210,105,105,210,105,105,210,105,35,105,105,105,35,105,210,105,
105,70,126,126,126,210,105,105,210,105,35,105,105,105,35,70,105,420,70,70,70,
35,70,70,140,126,120,240,120,315,105,105,105,140,70,140,126,126,126,42,21,120,
105,35,105,105,105,105,105,35,105,105,210,105,105,105,70,35,70,35,35,70,70,70,
70,35,126,42,21,21,21,120,105,105,105,35,30,42,21,70,35,35,35,21,42,21,21,21,
7,35,30,21,7,7,7,1,1,1,1],[1,42,105,3,315,210,35,140,210,21,210,630,630,35,
210,315,315,105,630,315,945,945,1,21,315,105,105,210,210,630,630,126,420,70,
105,210,630,105,210,315,420,840,420,1260,280,120,210,105,210,210,630,630,630,
21,210,315,315,420,210,630,630,630,105,315,945,105,630,630,105,105,315,105,
315,315,945,945,315,945,315,945,945,1890,105,315,630,1260,70,252,378,126,378,
252,210,210,210,420,420,420,420,35,210,210,35,35,630,630,210,315,105,315,105,
105,630,315,630,35,210,315,105,315,210,210,210,210,35,70,105,140,420,420,1260,
1260,140,140,840,840,360,240,105,630,630,105,105,105,315,315,315,630,630,315,
315,105,315,315,315,35,105,945,945,105,105,105,315,315,315,105,315,315,105,
315,315,945,315,945,315,315,315,280,210,70,210,280,126,252,252,126,126,378,
378,126,126,252,126,378,252,120,210,105,210,210,210,210,210,210,210,210,210,
210,210,210,420,420,210,35,210,105,105,70,210,210,210,210,105,105,210,105,105,
315,630,210,315,210,105,105,105,315,105,315,105,315,105,210,105,210,315,315,
210,315,630,420,70,105,105,315,210,210,630,315,105,210,315,420,420,140,420,
420,420,420,120,120,120,105,315,315,105,315,315,315,105,315,315,315,315,315,
315,315,140,140,140,70,140,210,210,140,140,140,70,210,140,35,126,126,126,252,
252,126,126,126,126,126,126,378,378,360,240,105,210,210,105,105,105,105,105,
105,105,210,210,210,210,210,210,210,210,105,210,210,105,105,35,105,105,105,
105,35,105,105,105,105,35,105,105,105,315,105,315,105,315,105,315,105,105,105,
105,105,35,35,35,315,315,105,70,630,630,105,105,315,105,315,105,420,120,42,21,
315,140,70,140,140,140,70,70,140,70,70,210,70,210,140,105,70,35,105,126,126,
126,126,126,126,126,120,120,120,105,105,105,105,105,105,105,105,105,105,105,
105,105,35,105,105,105,105,105,105,105,35,105,105,105,210,105,105,105,105,84,
126,42,63,42,21,63,70,70,70,35,70,70,70,70,35,70,70,35,35,105,105,35,126,120,
30,105,105,105,42,42,42,21,42,42,21,21,21,63,21,63,70,35,35,35,35,35,35,35,90,
7,42,21,21,21,21,21,21,21,35,30,14,21,21,7,7,7,1,7,2,3,1,1,1,1],[1,45,15,675,
10,20,400,20,400,15,675,675,15,45,675,675,5,675,450,450,6,864,36,450,10,450,
300,60,900,3600,300,60,900,3600,225,45,675,225,675,225,675,675,675,675,675,
1350,200,200,10,400,400,270,540,6,270,4320,36,540,150,450,450,150,450,450,450,
100,900,900,15,300,300,15,5,200,100,200,900,900,1800,1800,360,120,120,75,675,
675,75,225,675,675,200,600,600,200,600,600,150,10,150,1200,1200,90,270,270,90,
270,270,270,180,540,540,150,450,450,150,450,450,450,300,225,15,225,900,225,
225,900,15,225,300,216,100,360,360,360,120,360,360,120,360,360,225,600,150,
150,600,100,50,200,150,150,10,150,100,200,90,270,270,90,270,270,270,180,60,
450,75,225,225,75,150,75,225,150,75,225,225,216,216,216,100,100,100,360,360,
90,90,180,360,6,6,1,720,360,360,150,150,150,150,150,150,300,50,150,150,300,
270,60,60,60,75,225,75,216,100,100,100,50,90,90,90,90,90,90,180,90,90,45,150,
150,50,75,75,60,60,60,60,60,20,20,100,50,90,90,30,30,15,15,45,75,75,36,36,36,
60,60,60,60,60,1,50,45,10,36,36,36,30,30,15,15,15,10,10,15,15,5,6,10,10,6,6,6,
5,1],[1,105,5,525,35,140,35,525,525,105,315,1575,1575,1,504,126,175,210,1050,
105,525,700,420,2100,120,175,315,1575,525,1575,1575,1575,70,105,630,1,105,
2520,126,630,1050,525,105,1050,525,35,525,105,525,35,70,105,2100,600,35,140,
1575,350,70,350,35,105,105,105,315,315,315,630,126,630,120,525,175,525,105,
525,525,525,175,105,525,350,210,1050,525,105,525,126,35,210,210,105,105,140,
420,420,120,350,70,350,35,35,315,315,105,315,315,315,630,600,70,525,525,1050,
525,126,126,126,210,105,105,210,105,35,105,105,105,35,70,105,420,42,21,120,
350,175,35,175,315,70,70,70,126,126,126,120,105,35,105,105,105,105,105,35,105,
105,70,210,210,105,105,105,210,105,21,105,175,30,70,70,70,35,126,120,105,105,
210,105,105,42,21,150,70,35,35,35,7,42,21,21,21,35,35,30,21,30,7,1,7,5,1,1],[
1,84,105,3,315,420,1,35,70,140,280,420,63,630,1260,1890,35,420,315,315,105,
1260,315,945,945,315,1890,126,21,105,1,21,105,105,105,420,840,140,105,210,630,
105,420,315,210,1260,210,630,420,1680,840,420,1260,560,2520,840,120,420,315,
630,420,1260,1890,1890,945,420,1260,1890,1890,105,315,945,315,1260,1890,315,
945,945,945,945,35,140,70,280,280,504,378,126,378,504,105,21,210,315,315,35,
105,105,105,105,105,105,315,315,315,315,315,315,105,315,630,210,420,630,630,
1260,1260,840,1260,840,1260,105,420,630,630,315,315,105,630,315,35,420,315,
105,315,420,630,630,630,70,630,630,210,35,70,70,140,210,105,1260,1260,420,
1680,2520,2520,360,480,126,315,1260,1890,315,945,1890,1890,315,945,945,945,
210,35,35,35,210,210,210,105,105,105,105,140,420,420,420,420,140,140,560,280,
210,70,210,560,840,840,840,840,280,378,504,756,378,378,504,126,378,120,240,
120,105,105,105,105,315,315,315,315,315,105,315,315,315,35,105,315,105,315,
105,105,315,315,315,105,315,315,105,315,315,315,315,315,315,315,315,210,420,
315,630,420,210,630,630,420,420,630,630,630,630,1260,210,420,315,140,630,420,
630,315,105,315,315,315,105,420,315,315,630,315,210,630,630,630,140,105,105,
315,210,630,210,210,630,1260,315,630,630,105,420,315,1260,70,360,126,126,126,
126,126,126,126,945,105,210,210,210,210,210,210,35,210,105,105,210,105,105,
210,105,105,105,210,210,105,210,105,35,105,105,105,105,105,105,105,210,35,70,
105,420,420,140,420,420,420,420,420,280,420,840,210,420,280,70,210,420,35,70,
840,70,140,378,504,756,378,378,120,120,120,360,240,480,105,315,315,105,315,
315,315,105,315,315,315,315,315,315,315,315,630,420,630,315,315,315,630,630,
420,630,630,315,630,420,630,105,315,315,315,105,315,630,315,315,140,70,140,70,
70,140,140,126,126,126,126,126,126,126,126,126,126,126,42,21,120,105,105,105,
105,105,105,105,105,210,210,210,210,105,105,105,35,105,105,105,105,35,105,105,
105,105,35,105,105,105,105,105,105,105,105,105,105,105,105,105,105,105,35,35,
35,105,105,105,70,210,210,105,105,105,105,105,105,420,210,280,420,140,70,210,
210,105,140,35,105,210,210,210,70,210,420,378,120,360,315,315,315,315,140,70,
140,70,140,70,70,70,70,70,140,35,126,126,126,126,126,126,126,168,126,84,63,84,
21,63,120,120,120,105,105,105,105,105,105,105,105,105,105,105,105,105,35,105,
105,105,105,105,105,105,35,105,105,105,210,105,105,105,105,210,105,140,210,
210,105,105,210,30,42,21,70,70,70,35,70,70,35,70,70,35,35,35,35,35,126,126,63,
84,126,63,63,120,105,105,105,105,90,42,42,42,21,21,21,21,21,21,21,7,70,35,35,
35,35,35,35,35,63,30,42,21,21,21,21,21,21,21,28,21,35,30,7,21,21,7,7,7,1,7,4,
3,1,3,1,1,1,1],[1,105,3,315,4,35,280,140,1120,35,315,315,105,315,945,945,1,
315,210,630,126,420,105,210,630,105,315,840,420,420,1260,120,105,315,945,105,
315,315,945,945,945,945,945,1890,140,560,70,1120,1120,378,126,378,140,420,
1260,35,630,630,315,315,105,630,315,630,35,315,105,315,210,280,35,280,70,560,
840,105,1,70,140,280,1260,1260,840,1680,2520,360,504,35,945,945,105,315,945,
945,840,420,1680,210,70,210,126,378,378,126,378,480,960,120,1260,210,105,315,
630,315,105,315,315,315,105,315,315,315,630,105,105,315,210,210,630,105,210,
315,105,315,420,280,120,504,315,420,140,420,140,280,420,35,70,280,210,210,70,
210,35,280,840,280,560,140,280,126,378,378,360,105,35,105,315,315,315,315,35,
315,315,35,70,70,70,140,630,630,105,315,210,105,315,315,280,504,126,42,21,480,
420,420,840,420,210,105,70,210,210,105,35,105,420,126,120,240,120,105,105,315,
210,105,280,140,70,126,126,63,21,63,105,35,105,70,35,70,105,105,35,70,70,140,
105,30,168,84,140,70,126,42,21,63,63,120,105,35,105,210,105,90,84,7,70,35,21,
120,30,42,21,21,35,28,21,7,30,1,7,3,4,1,1],[1,150,45,15,675,150,10,20,400,20,
400,450,225,1350,450,1350,15,450,675,675,15,450,45,675,675,5,225,675,225,225,
450,1350,1350,450,6,864,36,150,450,10,150,450,150,150,1200,600,200,300,60,900,
1200,3600,300,600,1200,60,900,200,3600,1200,450,675,1350,150,450,1350,1350,
225,1350,675,675,2700,150,450,1350,1350,225,45,675,675,450,1350,225,675,675,
675,225,675,675,675,675,675,675,675,675,1350,225,675,1350,2700,200,200,10,400,
400,270,540,6,270,4320,36,540,450,150,900,450,450,150,450,450,450,450,450,150,
450,450,450,450,450,450,150,450,900,900,3600,600,1800,300,100,300,900,900,900,
15,300,300,15,5,200,100,200,900,900,900,900,300,300,1800,1800,600,1800,3600,
360,120,120,675,450,1350,675,675,225,675,675,675,1350,1350,675,675,225,675,
675,675,75,675,675,675,225,675,675,675,675,675,75,675,225,225,675,675,675,675,
675,675,675,675,600,200,200,200,600,600,600,200,600,600,600,600,200,200,200,
400,150,10,150,200,1200,1200,1200,1200,400,90,270,270,90,270,270,270,180,540,
540,90,90,540,4320,360,1080,450,450,450,150,450,450,450,450,450,150,450,450,
450,150,450,450,150,450,450,450,450,450,450,150,450,450,150,450,450,450,450,
450,450,450,450,150,300,900,900,900,300,150,300,900,300,900,150,225,15,225,
900,900,225,225,900,900,15,150,225,75,75,600,900,300,300,600,900,900,900,900,
1800,1800,216,100,360,360,360,120,360,360,120,360,360,675,675,675,225,675,675,
675,225,675,675,675,225,675,675,675,600,600,600,200,600,600,600,150,150,600,
600,200,600,600,600,600,300,100,300,1200,100,50,200,300,150,150,300,300,100,
10,150,300,1200,100,200,90,270,270,270,270,90,270,270,270,270,270,180,540,540,
60,450,450,450,150,450,450,450,150,450,450,450,450,450,450,450,225,150,450,
900,900,225,900,150,450,225,75,225,225,225,225,75,150,225,225,225,75,225,225,
150,75,225,225,225,225,225,900,216,216,216,200,100,200,100,100,200,200,360,
360,360,120,360,360,90,90,180,360,360,120,6,6,1,720,360,360,675,150,600,150,
150,150,150,150,150,150,150,150,150,150,150,150,600,300,150,300,100,300,100,
300,300,50,300,600,150,150,150,150,150,300,300,300,100,600,270,270,90,90,270,
270,270,540,60,60,60,450,225,225,225,225,225,225,225,225,75,225,225,75,225,
450,75,225,225,225,450,75,225,225,225,216,216,216,200,100,200,100,200,100,100,
100,100,100,200,50,360,360,90,90,90,90,90,90,180,360,60,90,60,90,15,45,15,720,
360,360,150,150,150,150,150,150,150,150,150,150,150,150,150,150,150,150,150,
300,150,50,150,150,75,75,300,270,120,60,120,60,60,60,60,20,20,225,225,225,216,
100,100,100,100,100,100,100,100,50,100,90,90,90,90,90,90,180,90,30,90,90,30,
90,45,45,15,45,15,45,45,150,150,150,75,75,75,75,75,75,36,36,36,60,60,60,60,60,
60,60,60,60,60,20,60,60,60,20,1,100,50,50,50,90,90,90,90,45,15,45,15,45,45,45,
10,75,75,36,36,36,60,60,30,60,30,60,15,15,60,10,15,50,45,20,10,20,10,36,36,36,
30,30,15,15,15,15,15,15,15,5,15,6,10,10,10,10,10,10,15,15,15,6,6,6,10,10,5,6,
6,6,5,1,1],[1,105,5,525,35,140,35,525,525,105,315,1575,1575,105,525,1050,1,
504,126,175,210,1050,105,525,700,420,2100,120,175,315,1575,525,525,525,1575,
1575,1575,1575,1575,70,105,630,1,105,2520,126,630,175,1050,1050,525,525,105,
1050,525,35,525,105,525,1050,35,70,105,2100,2100,700,600,35,140,525,1575,525,
525,1575,1575,1575,350,70,350,35,105,105,105,315,315,315,630,630,630,21,105,
210,2520,126,630,1260,120,1050,525,525,1050,525,175,525,525,525,105,525,525,
525,175,105,525,350,210,1050,525,105,525,2100,126,600,35,210,210,105,105,140,
420,420,1575,120,700,350,700,70,350,35,35,315,315,105,105,105,315,315,315,315,
315,630,630,630,600,70,525,175,525,525,525,525,525,175,525,525,1050,525,525,
525,126,126,126,35,210,210,105,105,105,210,105,35,105,105,105,210,35,70,105,
420,420,140,42,21,120,350,350,350,175,35,175,105,315,105,105,315,315,315,630,
600,70,70,70,525,525,525,126,126,126,126,126,126,126,120,210,105,105,210,105,
35,105,105,105,105,105,105,105,35,105,105,70,210,210,105,105,105,420,210,105,
21,105,120,350,175,175,175,315,30,140,70,140,70,70,35,126,126,126,120,105,35,
105,105,105,105,105,35,105,105,210,105,105,105,210,105,105,105,175,42,21,150,
70,70,70,35,35,35,7,126,120,105,105,105,105,42,21,21,21,70,35,35,35,35,30,42,
21,21,21,35,35,30,7,21,1,7,5,7,5,1,1,1],[1,126,105,3,315,630,4,35,280,140,
1120,630,63,630,1890,1890,35,630,315,315,105,1890,315,945,945,1,63,315,315,
315,210,630,1890,630,126,84,420,420,1260,210,105,210,630,105,630,315,840,840,
2520,420,2520,420,1260,840,3360,120,630,315,630,630,1890,1890,1890,63,630,945,
945,1260,630,1890,1890,1890,105,315,945,315,1890,1890,105,315,315,315,315,945,
945,945,945,945,945,945,945,1890,315,945,1890,3780,140,560,70,1120,1120,756,
378,126,378,756,420,1260,140,420,420,1260,1260,630,630,630,1260,1260,1260,
1260,105,630,630,35,105,630,630,630,315,315,315,315,105,630,315,630,35,630,
315,105,315,630,630,210,630,2520,280,2520,35,280,70,560,840,105,1,70,140,280,
1260,1260,1260,1260,420,420,840,1680,2520,2520,2520,360,720,504,315,1890,1890,
315,315,315,945,945,945,1890,1890,945,945,315,945,945,945,35,315,945,945,315,
315,315,945,945,945,105,945,315,315,945,945,945,945,945,945,945,945,840,140,
840,420,420,1680,1680,560,840,210,70,210,840,3360,3360,378,756,756,126,378,
378,378,378,378,756,126,378,756,480,960,120,420,420,1260,420,1260,1260,1260,
630,315,630,630,630,630,630,630,630,630,630,630,630,630,1260,1260,630,105,630,
315,315,210,630,630,630,210,105,315,630,315,315,315,630,630,315,630,315,105,
315,315,315,315,315,315,315,630,105,630,315,315,630,315,630,1260,840,210,105,
105,315,840,210,210,630,105,210,315,2520,105,630,315,21,105,210,630,1260,420,
420,840,1260,1260,1260,1260,840,2520,280,120,360,360,504,504,504,315,945,945,
315,945,945,945,315,945,945,945,315,945,945,945,420,840,840,420,420,140,420,
420,420,140,280,420,1680,420,420,420,35,70,280,420,210,210,420,420,420,70,210,
420,35,280,840,280,560,140,280,378,378,378,756,756,126,378,378,378,378,378,
378,378,480,360,720,1260,315,630,630,315,315,315,315,315,315,315,630,630,630,
630,630,630,630,630,315,630,630,315,315,105,315,315,315,105,35,315,105,315,
315,105,315,315,315,315,315,315,315,315,315,315,315,315,315,315,315,105,35,
105,315,315,315,35,70,70,70,140,630,630,105,105,315,105,315,315,210,105,630,
630,315,315,315,315,315,1260,560,280,560,360,504,504,504,126,42,21,480,945,
420,420,420,420,420,140,420,420,420,140,420,840,420,420,420,210,420,420,420,
210,35,210,210,105,105,70,420,840,210,210,210,210,210,420,105,210,35,105,840,
840,840,420,420,140,840,378,378,378,378,126,378,378,120,240,120,360,360,315,
315,315,315,315,315,315,315,315,315,315,315,315,105,315,315,315,105,315,315,
315,105,315,105,315,105,105,315,210,210,210,105,315,315,315,630,105,315,315,
315,280,280,280,140,70,504,126,126,126,252,126,126,63,126,21,63,480,420,420,
420,210,210,210,105,210,210,210,105,105,210,105,35,105,105,105,210,70,35,70,
210,210,105,105,105,105,105,35,70,70,140,105,420,378,120,360,30,168,84,315,
315,315,315,280,140,140,140,140,70,140,126,126,126,126,42,126,63,126,126,21,
63,63,63,63,63,120,210,105,105,105,105,35,105,105,105,105,105,105,35,210,105,
105,35,105,105,210,210,105,105,105,90,168,84,84,84,7,140,70,70,70,35,126,126,
63,63,63,63,21,63,63,120,120,105,105,105,105,30,42,84,21,42,21,70,35,35,35,63,
28,42,21,21,21,21,7,21,35,30,28,1,21,21,7,6,3,4,7,3,1,3,4,3,1,1],[1,105,15,
1575,10,35,700,140,2800,35,1575,1575,105,315,4725,4725,5,1575,1050,3150,6,
3024,126,1050,10,1050,525,210,3150,105,1575,12600,2100,2100,420,6300,25200,
120,525,315,4725,525,1575,1575,4725,4725,4725,4725,4725,9450,350,1400,70,2800,
2800,630,1890,6,630,15120,126,1890,350,1050,1050,1050,3150,3150,3150,175,3150,
3150,1575,1575,105,3150,1575,3150,35,1575,105,1575,1050,6300,700,6300,35,700,
70,1400,2100,105,5,350,700,1400,6300,6300,4200,8400,12600,1800,1260,210,840,
175,4725,4725,525,1575,4725,4725,350,2100,2100,1050,1050,1400,4200,4200,1050,
70,1050,8400,8400,210,630,630,630,1890,1890,1890,630,1890,1890,126,1890,1200,
2400,120,350,3150,3150,1050,3150,3150,3150,1050,525,1575,3150,1575,525,1575,
1575,1575,105,1575,1575,1575,3150,6300,525,105,1575,6300,1050,210,3150,12600,
525,1050,1575,6300,105,1575,2100,756,700,600,1260,1260,1260,210,1260,1260,630,
630,840,2520,2520,1575,720,2100,1050,1050,2100,1050,350,1050,1050,1050,350,
700,1050,4200,175,350,1400,1050,1050,70,1050,35,700,4200,700,1400,700,1400,
210,1890,1890,630,1890,1890,1890,630,1890,1890,1200,1800,420,3150,525,175,525,
1575,1575,1575,1575,175,1575,1575,175,350,350,350,700,3150,3150,525,1575,1050,
525,1575,1575,756,756,756,700,700,700,1260,1260,1260,1260,630,630,1260,630,
210,630,630,630,210,420,630,630,2520,42,21,1,2520,2520,2520,1200,720,1050,350,
1050,1050,1050,1050,1050,350,1050,1050,700,2100,2100,1050,1050,1050,1050,525,
350,1050,1050,525,35,525,2100,2100,4200,2100,1890,630,600,1200,600,420,420,
420,525,525,1575,1050,525,756,756,756,720,700,700,700,350,350,1260,630,210,
630,630,630,630,630,210,630,630,420,1260,1260,630,630,630,630,630,315,21,315,
105,1200,1050,1050,2100,1050,525,175,525,350,175,350,525,525,175,350,350,700,
525,30,420,420,420,210,420,210,35,140,756,720,700,350,350,350,350,630,630,
1260,630,630,210,105,315,315,35,105,315,600,525,175,525,1050,525,252,126,126,
450,420,210,210,210,420,210,210,210,210,105,420,7,120,350,350,175,105,315,300,
70,252,126,126,126,126,150,210,210,210,105,105,35,105,35,70,105,105,180,175,
300,70,70,126,126,120,105,105,105,210,105,35,180,42,150,70,35,70,1,42,21,42,
35,35,15,21,10,5,30,6,10,7,6,5,1],[1,210,105,15,1575,1050,10,35,700,140,2800,
1050,315,3150,3150,9450,35,1050,1575,1575,105,3150,315,4725,4725,5,315,1575,
1575,1575,1050,3150,9450,3150,6,3024,126,210,1050,10,210,1050,1050,1050,4200,
2100,350,525,210,3150,105,1050,1575,2100,12600,2100,6300,2100,4200,8400,420,
6300,1400,25200,8400,120,1050,1575,3150,1050,3150,9450,9450,315,3150,4725,
4725,6300,1050,3150,9450,9450,525,315,4725,1575,3150,9450,525,1575,1575,1575,
1575,4725,4725,4725,4725,4725,4725,4725,4725,9450,1575,4725,9450,18900,350,
1400,70,2800,2800,1260,630,1890,6,630,15120,126,1890,1260,1050,210,2100,3150,
3150,350,1050,1050,1050,1050,1050,1050,3150,3150,3150,3150,3150,3150,1050,
3150,6300,2100,1050,3150,3150,12600,12600,2100,6300,2100,6300,525,1050,3150,
175,525,3150,3150,3150,1575,1575,1575,1575,105,3150,1575,3150,35,1050,1575,
105,1575,1050,3150,1050,3150,6300,6300,700,6300,6300,2100,35,700,70,1400,2100,
105,5,350,700,1400,6300,6300,6300,6300,2100,2100,4200,8400,12600,4200,12600,
25200,1800,1200,1260,210,840,1575,3150,9450,1575,1575,1575,4725,4725,4725,
9450,9450,4725,4725,1575,4725,4725,4725,175,1575,4725,4725,1575,1575,1575,
4725,4725,4725,525,4725,1575,1575,4725,4725,4725,4725,4725,4725,4725,4725,
2100,350,350,350,2100,2100,2100,1050,1050,1050,1050,1400,4200,4200,4200,4200,
1400,1400,1400,2800,1050,70,1050,1400,8400,8400,8400,8400,2800,1890,1260,3780,
210,630,630,630,1890,1890,1890,630,1890,1890,1890,1890,1890,126,630,1260,
15120,1260,126,1890,3780,1200,2400,120,1050,1050,1050,1050,3150,3150,3150,
3150,3150,1050,3150,3150,3150,350,1050,3150,1050,3150,1050,1050,3150,3150,
3150,1050,3150,3150,1050,3150,3150,3150,3150,3150,3150,3150,3150,2100,1050,
1575,3150,1050,2100,6300,6300,1050,1050,3150,3150,3150,3150,3150,3150,3150,
3150,6300,6300,2100,1050,525,3150,1575,1575,350,3150,1050,3150,1050,525,1575,
3150,1575,1575,1575,3150,3150,1575,3150,1575,525,1575,1575,1575,1575,1575,
1575,1575,3150,105,1050,1575,1575,3150,1575,3150,6300,2100,6300,6300,6300,350,
525,105,1575,2100,6300,1050,210,3150,12600,525,1050,1575,6300,6300,105,1050,
1575,105,525,1050,3150,6300,2100,2100,4200,6300,6300,6300,6300,4200,12600,756,
700,600,1800,1800,1260,1260,1260,1260,1260,1260,1260,210,1260,1260,630,630,
840,2520,2520,1575,4725,4725,1575,4725,4725,4725,1575,4725,4725,4725,1575,
4725,4725,4725,720,1050,2100,2100,2100,2100,2100,2100,350,2100,1050,1050,2100,
1050,1050,2100,1050,1050,1050,2100,2100,1050,2100,1050,350,1050,1050,1050,
1050,1050,1050,1050,2100,350,700,1050,4200,4200,1400,4200,4200,4200,4200,2100,
700,2100,8400,175,350,1400,2100,1050,1050,2100,2100,700,70,1050,2100,35,700,
4200,8400,700,1400,700,1400,1890,1890,1890,1260,3780,210,1890,1890,630,630,
630,1890,1890,1890,1890,1890,630,1890,1890,1890,1890,1890,1890,1890,1200,1200,
1200,1800,2400,1200,420,1050,3150,3150,1050,3150,3150,3150,1050,3150,3150,
3150,3150,3150,3150,3150,1575,6300,1050,3150,1575,1575,1575,1575,1575,1575,
1575,3150,3150,1050,3150,6300,3150,3150,3150,3150,1575,6300,1050,3150,1575,
1575,525,1575,1575,1575,525,175,1575,525,1575,1575,525,1575,1575,1575,1575,
1575,1575,1575,1575,1575,1575,1575,1575,1575,1575,1575,525,175,525,1575,1575,
1575,175,350,350,350,700,3150,3150,525,525,1575,525,1575,1575,1050,525,3150,
3150,1575,1575,1575,1575,1575,6300,756,756,756,1400,700,1400,700,700,1400,
1400,1800,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,1260,210,1260,
1260,630,630,630,1260,630,210,630,630,630,1260,210,420,630,630,2520,2520,840,
42,21,1,2520,2520,2520,1200,4725,720,1050,1050,1050,1050,1050,1050,1050,1050,
2100,2100,2100,2100,1050,1050,1050,350,1050,1050,1050,1050,350,1050,1050,1050,
1050,350,1050,1050,1050,1050,1050,1050,1050,1050,1050,1050,1050,1050,1050,
1050,1050,350,350,350,1050,1050,1050,700,2100,2100,1050,1050,1050,1050,1050,
1050,4200,2100,1050,2100,700,2100,350,700,175,1050,1050,525,525,350,2100,4200,
1050,1050,1050,1050,1050,2100,525,350,35,525,2100,2100,4200,2100,700,2100,
4200,2100,2100,700,4200,1890,1890,1890,630,1890,630,630,1890,1890,1890,1890,
630,1890,1890,1200,600,1200,600,1800,1800,420,420,420,3150,1575,1575,1575,
1575,1575,1575,1575,1575,1575,1575,1575,1575,1575,525,1575,1575,1575,525,1575,
1575,1575,525,1575,525,1575,525,525,1575,1050,1050,1050,525,1575,1575,1575,
3150,525,1575,1575,1575,756,756,756,756,756,756,756,720,1400,700,1400,700,
1400,700,700,700,700,700,1400,350,350,1260,1260,1260,1260,1260,1260,1260,1260,
630,630,1260,630,210,630,630,630,630,630,630,630,210,630,630,420,1260,1260,
630,630,630,630,630,630,2520,420,630,210,315,210,21,315,21,105,105,2520,2520,
2520,1200,1200,1200,720,1050,1050,1050,1050,1050,1050,1050,1050,1050,1050,
1050,1050,1050,350,1050,1050,1050,1050,1050,1050,1050,350,1050,1050,1050,2100,
1050,1050,1050,1050,1050,1050,1050,525,350,1050,2100,1050,525,525,1050,525,
175,525,525,525,1050,350,175,350,1050,1050,525,525,525,525,525,2100,175,350,
350,700,525,2100,1890,1890,600,1800,30,840,420,840,420,420,210,420,210,35,140,
1575,1575,1575,1575,756,756,756,720,700,700,700,350,700,700,350,700,700,350,
350,350,350,350,700,350,700,1260,630,210,630,630,630,630,630,210,630,630,1260,
630,630,630,630,630,630,630,210,630,315,210,630,105,315,315,315,315,315,105,
315,35,105,105,315,315,1200,600,1050,1050,1050,1050,525,525,525,525,175,525,
525,525,525,525,525,175,1050,525,525,175,525,525,1050,1050,525,525,525,252,
126,126,450,420,420,420,210,210,210,420,420,420,210,210,210,210,210,210,210,
210,35,210,105,105,420,420,140,7,756,720,120,700,350,350,350,350,350,350,350,
350,350,350,175,630,630,630,630,630,315,315,315,315,105,315,315,105,105,315,
105,315,315,315,600,300,70,525,525,525,525,252,126,126,126,126,126,126,150,
420,210,210,210,420,210,210,210,210,210,210,210,210,105,105,210,210,105,105,
35,105,105,105,35,70,105,420,70,105,120,180,350,350,175,175,175,315,315,300,
140,70,140,70,252,126,126,126,126,126,126,120,210,210,210,105,105,105,105,105,
105,105,105,35,105,105,105,35,105,210,105,105,105,35,105,180,175,42,150,70,70,
70,35,70,70,70,126,126,120,1,105,105,105,105,105,42,21,42,70,35,35,35,70,35,
10,15,42,21,21,21,42,10,35,35,15,5,15,30,6,21,10,10,10,15,7,6,10,5,7,6,5,1,
1]],
[1,2,2,2,2,2,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,10,10,10,
10,10,10,10,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,14,14,15,15,15,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,
20,20,20,20,20,21,21,21,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
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,
24,24,24,24,24,24,24,24,25,27,28,28,28,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,35,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,
40,40,40,40,42,42,42,42,42,42,45,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,50,50,50,54,54,54,54,54,54,54,56,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,63,
64,70,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,80,80,80,80,80,80,80,80,80,
80,80,80,80,80,84,84,84,84,84,84,90,90,90,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,100,100,100,100,100,100,100,105,108,108,108,108,108,108,108,108,108,
108,108,108,108,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,126,126,126,140,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,144,
144,144,144,144,160,160,168,168,168,180,180,180,180,180,180,180,180,180,180,
192,192,192,192,200,200,200,210,216,216,216,216,216,216,216,216,216,216,216,
216,216,216,216,216,216,240,240,240,240,240,240,240,240,240,240,240,240,240,
240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,
240,240,240,240,240,252,252,288,288,288,288,288,288,288,288,288,288,288,288,
288,288,288,288,288,288,288,288,288,288,288,288,288,288,288,300,300,300,336,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,400,420,420,432,432,432,432,432,432,432,432,432,432,
432,432,480,480,480,480,480,480,480,480,480,480,480,480,480,480,480,480,480,
480,480,504,504,540,576,576,576,576,600,600,600,600,600,600,600,672,720,720,
720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,
720,720,720,720,720,720,720,720,840,840,864,864,864,864,864,960,960,1008,1080,
1080,1080,1080,1200,1200,1200,1200,1200,1200,1200,1260,1440,1440,1440,1440,
1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,1440,
1440,1440,1440,1440,1680,1728,1800,2016,2160,2160,2160,2160,2160,2160,2160,
2400,2400,2520,2520,2880,2880,2880,2880,2880,3600,3600,3600,4320,4320,4320,
4320,4320,4320,5040,5040,7200,7200,7200,7200,7200,7560,8640,8640,10080,10080,
10080,10080,12600,14400,15120,15120,15120,20160,21600,25200,30240,30240,43200,
50400,60480,151200,302400],
[1322,1244,1281,1313,1022,1087,1316,1302,1148,1270,890,1086,1227,838,831,456,
1302,1086,1022,1022,1282,831,1228,713,713,1320,1227,1022,1023,1023,1102,839,
464,867,1319,877,1277,1244,1086,1316,1244,1086,1087,1087,729,947,1222,1179,
1250,836,1281,1086,1022,1000,346,958,584,989,771,512,1217,663,1034,204,532,
1278,1086,1022,833,1087,831,456,456,1227,836,713,713,588,1088,831,456,456,
1179,1228,713,1022,831,456,1180,1022,1022,1022,1023,713,713,713,713,713,713,
713,713,466,1023,713,462,247,1222,1034,1288,882,890,1047,1157,1007,1319,1157,
297,1277,1007,1047,1086,1244,947,831,831,1222,1086,1086,1086,1086,1086,1087,
831,831,831,831,831,831,1087,831,575,958,1086,836,838,346,346,947,590,947,590,
1179,1086,833,1266,1179,836,836,836,1022,1022,1022,1022,1281,836,1022,850,
1302,1086,1022,1281,1022,1086,847,1102,839,584,584,1148,584,584,958,1302,1151,
1291,1043,972,1282,1320,1224,1154,1046,663,663,663,663,989,989,799,531,434,
771,429,204,1010,1084,1047,1242,1119,1022,831,456,1022,1022,1023,713,713,713,
456,456,713,713,1024,713,713,713,1266,1022,713,713,1024,1022,1022,713,713,713,
1182,713,1025,1023,713,713,713,713,713,713,713,713,947,1222,1222,1222,947,947,
947,1086,1086,1086,1086,1034,771,771,771,771,1034,1034,1030,882,1089,1288,
1089,1034,516,516,532,532,890,1007,1047,809,1242,1157,1157,1159,1008,1008,
1008,1160,1007,1007,1007,1007,1007,1276,1159,1050,297,1047,1277,1007,820,1084,
941,1278,1086,1086,1086,1087,831,831,831,831,831,1088,831,831,831,1222,1086,
831,1088,831,1086,1086,831,831,831,1087,831,831,1087,831,831,831,831,831,831,
831,831,958,1086,1022,833,1087,972,584,584,1086,1086,833,833,836,836,836,836,
836,836,588,590,965,1088,1179,836,1022,1022,1222,833,1086,833,1093,1180,1022,
836,1022,1022,1022,836,836,1022,836,1022,1179,1022,1022,1022,1022,1022,1022,
1022,845,1281,1086,1022,1022,833,1022,849,628,1000,584,584,584,1222,1179,1283,
1024,979,604,1101,1259,862,412,1180,1094,1023,598,598,1282,1087,1023,1280,
1182,1108,861,663,1006,989,807,663,663,663,663,799,434,1142,1145,1176,1010,
1010,1047,1047,1047,1047,1047,1047,1047,1242,1048,1048,1157,1157,1119,925,925,
1022,713,713,1023,713,713,713,1024,713,713,713,1025,713,713,713,1143,1086,947,
947,947,947,947,947,1222,947,1086,1086,947,1086,1086,947,1086,1086,1086,947,
947,1086,947,1086,1222,1086,1086,1086,1086,1086,1086,1086,956,1222,1150,1087,
771,771,1034,771,771,771,771,973,1145,975,516,1266,1223,1044,973,1089,1089,
989,989,1145,1288,1089,993,1302,1151,799,532,1148,1043,1154,1046,1007,1007,
1007,1047,809,1242,1008,1008,1157,1157,1159,1008,1008,1008,1008,1008,1160,
1007,1007,1007,1007,1007,1007,1007,1084,1084,1084,1010,941,1084,1191,1086,831,
831,1087,831,831,831,1088,831,831,831,831,831,831,831,1022,584,1086,833,1022,
1022,1023,1022,1022,1022,1022,833,833,1087,840,598,836,836,836,836,1024,604,
1088,843,1022,1022,1179,1022,1022,1022,1180,1266,1022,1180,1022,1022,1179,
1022,1022,1022,1022,1022,1022,1022,1022,1022,1022,1022,1022,1022,1022,1022,
1179,1266,1179,1024,1024,1024,1266,1225,1224,1226,1156,862,862,1180,1180,1025,
1182,1025,1025,1112,1182,861,861,1023,1023,1023,1023,1023,663,1142,1142,1142,
1030,1145,1030,1145,1145,1034,1034,1010,1047,1047,1047,1047,1047,1047,1047,
1047,1047,1047,1047,1242,1048,1048,1157,1157,1157,1048,1157,1242,1157,1157,
1157,1050,1242,1193,1159,1160,925,925,1119,1300,1309,1322,936,937,938,1084,
713,1143,1086,1086,1086,1087,1086,1086,1086,1086,947,947,947,947,1088,1086,
1086,1222,1086,1086,1086,1086,1222,1086,1086,1086,1086,1222,1086,1086,1086,
1086,1086,1086,1086,1086,1086,1086,1086,1086,1086,1086,1086,1222,1222,1222,
1088,1088,1088,1150,968,968,1087,1087,1087,1087,1087,1087,771,973,1089,973,
1145,974,1222,1151,1266,1093,1093,1180,1180,1223,989,786,1089,1089,1089,1089,
1089,989,1179,1222,1302,1179,979,979,799,1000,1148,1000,803,1006,1006,1154,
807,1007,1007,1007,1157,1008,1158,1159,1008,1008,1008,1007,1160,1007,1007,
1084,1176,1085,1176,1010,1010,1191,1191,1191,831,1022,1022,1022,1023,1022,
1022,1022,1022,1023,1023,1024,1024,1024,1179,1022,1022,1022,1180,1022,1022,
1022,1179,1024,1181,1024,1180,1181,1025,1102,1108,1109,1182,1025,1025,1025,
867,1182,1023,1023,1023,1142,1142,1142,1142,1142,1142,1142,1143,1030,1145,
1030,1145,1034,1145,1145,1145,1145,1145,1034,1222,1223,1047,1047,1047,1047,
1047,1047,1047,1048,1157,1157,1048,1157,1242,1157,1157,1157,1157,1157,1157,
1157,1242,1158,1158,1193,1058,1058,1159,1159,1159,1160,1160,1160,925,1195,
1161,1244,1227,1244,1309,1227,1309,1281,1282,936,937,938,1084,1084,1084,1143,
1086,1086,1086,1087,1086,1086,1086,1086,1087,1087,1088,1088,1088,1222,1086,
1086,1086,1086,1086,1086,1086,1222,1088,1088,1088,968,1087,1087,1087,1087,
1089,1089,1089,1179,1222,1091,979,1093,1180,1180,1093,1180,1266,1180,1180,
1180,1089,1223,1266,1225,1089,1089,1179,1179,1179,1179,1179,1000,1266,1224,
1226,1156,1182,1006,1007,1008,1176,1010,1307,1117,1191,1119,1191,1191,1242,
1195,1244,1302,1270,1022,1023,1024,1025,1142,1142,1142,1143,1145,1145,1145,
1222,1145,1145,1222,1145,1145,1222,1222,1222,1222,1222,1153,1223,1154,1047,
1157,1242,1157,1157,1157,1157,1157,1242,1158,1158,1058,1159,1159,1159,1160,
1160,1160,1161,1243,1161,1227,1244,1163,1280,1227,1227,1227,1227,1227,1281,
1228,1302,1281,1282,1228,1228,1084,1176,1086,1087,1088,1089,1179,1179,1179,
1180,1266,1180,1180,1180,1180,1180,1179,1266,1102,1179,1179,1266,1181,1181,
1108,1109,1182,1182,1182,1234,1276,1277,1190,1191,1191,1191,1242,1242,1242,
1195,1195,1195,1244,1244,1244,1244,1244,1244,1244,1250,1302,1250,1281,1281,
1217,1217,1270,1318,1142,1143,1278,1145,1222,1222,1222,1222,1222,1222,1222,
1223,1223,1223,1266,1157,1158,1159,1160,1161,1227,1227,1227,1227,1280,1227,
1227,1281,1282,1228,1283,1228,1228,1228,1176,1229,1288,1179,1180,1181,1182,
1234,1276,1276,1276,1277,1277,1277,1268,1191,1242,1242,1242,1195,1243,1244,
1244,1244,1244,1244,1244,1244,1280,1281,1250,1250,1281,1281,1302,1281,1281,
1281,1302,1291,1282,1217,1292,1284,1278,1265,1222,1223,1266,1266,1266,1227,
1228,1229,1269,1288,1270,1292,1234,1276,1276,1276,1277,1277,1277,1278,1242,
1243,1244,1280,1280,1280,1281,1282,1281,1281,1283,1302,1281,1281,1281,1302,
1283,1259,1282,1282,1284,1303,1284,1265,1266,1296,1268,1288,1288,1288,1302,
1292,1292,1292,1276,1277,1278,1322,1280,1281,1282,1283,1284,1296,1309,1300,
1288,1302,1302,1302,1292,1303,1316,1313,1296,1309,1309,1309,1300,1316,1302,
1303,1313,1320,1313,1307,1319,1309,1316,1316,1316,1313,1318,1319,1316,1320,
1318,1319,1320,1322,1322],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,7,
1,7,1,7,7,1,1,1,8,1,8,8,1,8,1,9,9,1,9,1,1,1,10,10,10,11,11,1,3,1,3,1,3,1,3,4,
4,1,4,5,1,1,1,1,1,3,3,1,3,3,1,1,1,1,1,1,1,1,1,1,1,3,3,3,4,4,4,5,1,1,1,1,1,1,1,
1,35,35,36,37,37,37,7,7,7,7,7,1,7,7,1,7,1,1,7,1,1,7,1,7,7,7,7,1,1,1,1,9,9,8,8,
8,8,8,8,8,1,8,8,8,1,1,8,1,8,8,8,8,8,1,8,1,8,8,1,8,1,1,9,9,1,9,9,1,17,17,17,17,
21,21,26,26,1,26,1,1,10,10,10,10,31,31,34,10,10,11,1,66,1,1,1,3,3,3,4,5,1,3,4,
5,3,3,4,4,1,1,4,4,1,3,3,3,1,4,5,3,5,4,1,4,1,1,5,3,3,4,3,3,5,1,7,107,7,8,8,1,
107,1,107,7,8,7,7,1,10,108,108,10,8,8,1,109,109,10,9,110,111,11,10,1,37,37,1,
35,35,1,1,35,35,1,1,37,37,37,37,35,35,35,36,37,37,37,37,1,66,66,39,7,39,7,39,
7,39,7,7,7,7,7,7,7,3,3,1,39,7,39,39,7,39,7,7,7,1,39,3,39,7,39,3,39,1,3,3,1,3,
21,21,9,56,8,51,8,51,4,4,8,48,8,48,5,8,17,17,48,48,8,48,8,8,8,8,8,1,48,8,8,48,
8,8,8,8,48,1,1,8,1,8,8,1,8,1,48,51,51,51,51,51,51,51,53,9,9,56,56,183,17,183,
183,184,184,17,185,185,186,26,26,21,187,187,188,188,188,189,189,190,190,4,10,
58,192,10,58,10,58,199,201,1,1,1,66,66,7,7,1,37,207,207,37,35,8,208,1,35,35,
10,209,19,3,19,4,19,19,19,4,4,19,19,3,3,19,19,1,7,7,7,107,107,107,107,107,107,
107,107,107,7,107,8,8,107,8,8,107,1,107,107,1,107,7,8,8,107,7,1,107,17,17,21,
7,108,108,108,108,10,108,8,109,109,110,26,1,26,8,109,109,10,10,109,109,109,
109,17,17,31,111,17,17,26,26,4,37,114,37,37,35,3,113,35,35,35,35,35,35,113,
113,37,114,37,114,37,37,37,37,7,302,66,66,66,66,1,39,39,39,7,39,39,39,7,7,39,
39,39,3,39,39,3,56,51,51,4,5,21,8,51,48,53,51,51,188,188,187,48,48,48,48,17,
184,183,183,48,48,8,48,8,48,8,1,48,8,4,8,8,48,8,48,51,51,51,51,51,53,51,53,3,
53,5,51,183,17,183,183,183,17,26,227,26,17,227,185,185,189,189,189,26,189,26,
237,21,190,190,21,188,188,188,188,58,35,37,435,107,7,8,109,436,108,10,205,7,
207,207,207,207,37,207,207,37,37,207,208,208,35,35,208,8,208,208,1,35,8,208,
35,17,17,21,26,35,209,209,706,707,708,709,710,711,66,19,35,39,7,39,132,107,
256,107,256,107,107,107,107,126,107,107,107,107,107,107,107,7,107,107,7,8,8,
107,8,107,51,256,256,51,3,256,39,51,256,256,256,256,503,126,183,183,17,503,
126,185,504,132,21,188,505,505,188,108,48,109,269,270,270,168,168,517,189,155,
26,517,109,58,190,109,109,109,109,109,269,17,183,529,529,184,530,199,179,183,
533,534,189,191,535,192,114,37,114,113,113,35,35,113,113,35,114,37,37,114,302,
26,437,66,66,66,35,109,567,39,19,51,160,93,48,160,160,160,188,415,83,183,404,
48,48,160,160,51,160,51,160,404,404,183,183,413,189,89,642,190,185,189,413,
189,413,654,188,415,188,415,35,435,435,37,435,435,435,66,107,436,436,436,108,
109,436,109,109,436,436,17,26,207,207,207,207,207,37,207,208,208,208,208,35,
35,208,208,35,51,450,450,450,281,183,699,281,185,700,284,188,701,189,288,702,
209,706,706,707,707,707,707,707,708,708,708,709,710,711,302,302,66,470,39,256,
256,132,107,256,256,256,505,505,126,503,503,107,107,256,256,256,256,51,256,
503,503,503,183,504,505,505,188,505,269,270,271,168,529,529,530,517,517,189,
517,155,26,517,155,189,269,109,17,227,271,270,168,183,529,529,183,533,227,227,
227,227,237,535,114,113,823,205,1011,208,567,209,109,567,17,706,707,708,708,
160,415,404,413,435,435,435,470,436,670,670,494,436,436,126,670,270,168,503,
529,183,891,517,518,535,207,208,208,208,450,450,113,450,699,699,281,700,284,
701,701,702,702,288,706,706,706,707,707,707,707,707,707,707,707,707,708,708,
708,708,708,708,708,302,437,256,505,503,521,382,529,793,517,517,517,413,782,
371,782,404,529,642,793,529,1001,641,636,643,644,651,655,1005,706,707,708,
1011,567,567,567,281,529,1017,1018,1018,706,1019,1019,707,1019,707,707,1019,
708,1020,1020,708,1020,708,1021,1021,1141,435,470,708,670,494,891,891,503,891,
891,529,892,892,518,227,450,699,701,702,927,929,707,929,929,707,929,707,934,
708,934,708,708,934,934,823,1011,708,793,782,1001,1005,1113,1114,707,1114,708,
1115,1115,1011,829,694,1017,699,1018,1066,1019,1019,1019,1019,1019,1019,707,
1071,708,1020,1020,1020,1020,708,1020,1020,708,1079,1079,1081,1021,1141,1141,
1144,1011,891,1045,985,1001,991,929,934,1177,1020,1178,1021,1141,1113,1114,
1114,1114,1115,1115,1115,1144,1017,1196,1019,1204,1204,1071,934,1081,1020,
1136,1079,1020,1020,1136,1136,1214,1214,1215,1216,1216,1141,1141,1141,1221,
1156,1141,1190,1178,1178,1178,1079,1233,1233,1141,1114,1115,1144,1279,1204,
1136,1216,1214,1219,1267,1286,1287,1231,1210,1214,1272,1233,1263,1279,1279,
1267,1286,1286,1286,1287,1279,1272,1293,1279,1279,1279,1307,1279,1286,1301,
1301,1279,1295,1314,1308,1301,1305,1314,1308,1317,1321,1321],
[( 1, 6, 7, 9, 3)( 2, 8)( 4,10)( 5,11,12),( 1, 6, 8, 2, 7, 9, 3)
( 4, 5,11,12,10)],
[[[[]]],[[[1,1,2,-1]]],[[[1,1,2,1],[2,1,3,1,1,2],[3,1,4,1,3,1,4,1]]],[[[1,2],[
1,1,2,1],[4,1,3,2,4,-1,3,-1,4,-1],[1,2],[6,1,2,-2,1,-1,6,-1,2,-2],[5,1,7,-1,5,
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1,1,2,1],[1,2,2,1,1,1,3,2,2,1,3,1],[1,1,2,1],[5,2,2,2],[4,1,6,1,4,1,6,1]]],[[[
1,2],[3,1,2,-1,1,-1,2,-1,3,1,2,1]]],[[[1,2],[1,1,2,1],[2,1,1,1],[4,1,2,1,5,1,
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1,1,2,1],[1,2,2,1,1,1,3,2,2,1,3,1],[1,1,2,1],[5,2,2,2],[4,2],[7,2,6,-1,4,1,6,
1]],[[1,1,2,1],[1,2,2,1,1,1,3,2,2,1,3,1],[1,1,2,1],[5,2,2,2],[4,1,6,1,4,1,6,
1]]],[[[1,1,2,1],[2,1,3,1,1,2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,
1,1]]],[[[1,2],[2,1,1,1,3,1,2,1,3,2],[4,1,2,1,1,1,2,1,1,2,2,2]]],[[[1,1,2,1],[
1,2,3,1,2,1],[3,1,4,1,3,1,4,1]],[[1,2],[3,1,2,2,3,-2]]],[[[1,1,2,1],[2,1,3,1,
1,2,3,1]]],[[[1,2],[1,1,2,1],[4,1,3,2,4,-1,3,-1,4,-1],[1,2],[6,1,2,-2,1,-1,6,
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2],[4,1,1,1,2,1,4,1]]],[[[1,2],[1,1,2,1],[3,1,2,1,3,1,4,2,3,1,2,-1,3,1]],[[1,
2],[2,1,1,1,2,1],[3,1,4,1,3,-1,4,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,4,1,3,1],[1,
2],[6,1,2,-1,6,1,2,1,1,1,2,1],[7,1,5,-3]],[[1,2],[3,1,2,-1,3,1,2,1,1,1,2,1],[
4,-2]]],[[[1,2],[2,1,1,1,2,1,3,1,2,-1,3,1]]],[[[1,2],[1,1,2,1],[2,1,3,-2,4,2,
3,1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1,1,-2,3,-1,2,1,1,-1,2,-1,3,1]]],[[[1,1,2,1,
1,2,2,1]]],[[[1,2],[1,1,2,1],[4,1,3,2,2,1,4,1,3,-2]],[[1,1,2,1],[2,2,3,1,2,1,
3,1,1,2,3,-1]]],[[[1,2],[1,1,2,1],[2,1,3,2,4,2,3,-1,2,-2]],[[1,1,2,1],[3,1,2,
1,3,1,1,-1,2,-2,3,-1]]],[[[1,2],[1,1,2,1],[4,1,3,2,4,-1,3,-1,4,-1],[1,2],[6,1,
2,-2,1,-1,6,-1,2,-2],[5,1,7,1]]],[[[1,1,2,1],[1,2,2,1,3,2]]],[[[1,2],[3,
3]]],[[[2,2,1,1],[3,1,1,2,2,-1,1,-1,3,-1]],[[1,2],[2,1,3,1],[4,1,3,1,2,-1,1,
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4,-1],[1,2],[6,1,2,-2,1,-1,6,-1,2,-2],[5,1,7,2,5,1,7,2]],[[1,2],[1,1,2,1],[4,
1,3,2,4,-1,3,-1,4,-1],[1,2],[6,1,2,-2,1,-1,6,-1,2,-2],[7,2,5,1,7,1]]],[[[1,
2],[1,-1,3,-2]]],[[[1,2],[1,1,2,1],[2,2],[3,1,5,1,4,1,3,-1,5,-1,4,-1]],[[1,
2],[1,1,2,1],[3,1,4,2,3,-1,4,-2]]],[[[1,1,2,1],[2,2,3,1,2,1,3,1,1,2,3,-1]],[[
1,1,2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,1],[4,1,1,2,4,-1,3,
-1]]],[[[2,3,1,-3]]],[[[1,2],[3,1,2,-1,1,-1,2,-1,3,1,2,1,3,1]]],[[[1,2],[3,1,
1,1,2,1,3,-2]],[[1,2],[1,-1,3,-1,2,1,3,1]]],[[[1,2],[3,2,2,1,1,1,2,1,3,1,1,
1]]],[[[1,1,2,1],[2,2,1,1,3,1,1,-2,3,-1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,1,1,2],[
4,1,3,1,4,1,3,1]]],[[[1,2],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]],[[1,1,2,2,1,
-3]]],[[[1,2],[1,1,2,1],[4,1,2,1],[3,1,5,1,4,2,5,1,3,1]]],[[[1,1,2,1],[2,1,1,
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1,-1,2,-1,3,1]],[[1,1,2,-1]]],[[[1,2],[1,1,2,1],[2,1,4,1],[4,1,3,1,5,-1,4,1,3,
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1]]],[[[2,2,1,2,2,2,1,1]],[[1,3,2,-1,1,-1,2,-1]]],[[[2,1,1,1,2,1,1,1]]],[[[2,
2,1,1,2,2]]],[[[1,2],[3,2,2,1,1,1,2,1]]],[[[1,1,2,1],[2,1,3,1,1,2],[4,1,3,1,4,
1,3,1]],[[1,1,2,1],[1,2,3,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,2],[1,1,2,1],[3,2],[
5,1,4,1,5,1,4,1]],[[1,1,2,1],[1,2,3,1],[4,1,3,2,4,1]]],[[[1,2],[1,1,2,1],[4,1,
2,1,3,2,4,1,2,1,4,1,3,1]],[[1,1,2,1],[2,1,3,-4,2,-1]]],[[[1,2],[2,1,1,1,3,1,1,
1,2,1,3,1,2,-1,3,-1]],[[1,1,2,1],[2,1,3,-1,1,-2,3,1,2,1]]],[[[1,2],[1,1,2,1],[
4,1,2,1,3,2,4,1,2,1,4,1,3,1]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,3,2,4,1,2,1]]],[[[
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1],[3,1,2,2,1,-1,2,-1,3,-1]]],[[[1,1,2,1],[1,2,3,1,2,1],[3,1,4,1,3,1,4,1]],[[
1,2],[3,1,2,1,1,-1,3,-1]],[[2,2,1,1],[3,1,1,2,2,-1,1,-1,3,-1]]],[[[1,2],[3,1,
2,1,1,1,2,1,1,-1,2,-2,3,-1]],[[1,2],[1,-1,3,-1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,
1,1,2],[4,1,3,1,4,1,3,1]],[[1,2],[3,1,1,1,2,1,3,-2]],[[2,2,1,1],[3,1,1,2,2,-1,
1,-1,3,-1]]],[[[1,2],[3,1,2,1,3,1,2,-1,1,-1,2,-1,3,-1]],[[2,2,1,1,2,2,1,
2]]],[[[1,2],[1,1,2,1],[4,1,2,1,3,2,4,-1,3,-1,2,-1,4,-1]],[[1,1,2,1],[2,1,3,1,
1,2],[3,1,4,1,3,1,4,1]],[[1,2],[1,1,2,1],[4,1,3,-2,2,1,1,1,3,1,4,-1]]],[[[1,
2],[3,1,2,2,3,1,2,1,1,1,2,-1]],[[1,2],[1,-1,3,-1,2,1,3,1]]],[[[1,2],[1,1,2,
1],[2,1,3,-2,4,-3,2,-1,3,-1]],[[1,2],[2,1,3,-1],[4,1,2,-1,1,-1,3,1,4,-1]]],[[[
1,2],[1,1,2,1],[4,1,3,-1,4,-1,2,1,1,1,3,1,4,-1]],[[1,2],[1,-1,2,-1,3,1]]],[[[
1,2],[1,1,2,1],[4,1,2,1,3,2,4,-1,3,-1,2,-1,4,-1]],[[1,2],[2,1,3,-1],[4,1,1,-1,
2,-1,3,1,4,-1]],[[1,2],[3,1,2,1,3,1],[1,1,2,1,4,-1,2,1,1,1,4,1]]],[[[1,2],[2,
1,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[2,2],[3,1,1,2,2,-1,1,-1,3,-1]]],[[[1,2],[3,
1,2,1,1,-1,3,-1]],[[2,1,1,1,2,1,1,2]]],[[[1,2],[1,1,2,1],[4,1,2,1,3,2,4,-1,3,
-1,2,-1,4,-1]],[[1,1,2,1],[2,1,3,1,1,2],[3,1,4,1,3,1,4,1]],[[2,1,1,1],[2,1,3,
-1,1,1,2,3,1,2,3,1]]],[[[1,2],[1,1,2,1],[4,1,3,2,4,-1,3,-1,4,-1]],[[1,1,2,1],[
1,2,3,1],[4,2,3,1]]],[[[1,2],[1,1,2,1],[2,1,1,1,2,2,3,2,4,-1,2,-1,4,1]],[[1,1,
2,1],[3,1,2,1,1,2,3,-1,2,-1,3,-1]],[[1,2],[1,1,2,1],[2,1,4,1,3,-1,4,-1,2,1,1,
1,3,1,2,1,3,1]]],[[[1,1,2,1],[2,1,3,-1,1,-2,2,1,3,2]],[[1,2],[3,1,2,1,1,-1,3,
-1]]],[[[1,2],[2,2,1,1],[4,1,3,1,4,1,3,1],[1,2],[6,1,2,2,6,-2],[5,2],[8,-1,7,
1,8,1]],[[1,2],[2,2,1,1],[4,1,3,1,4,1,3,1],[1,2],[6,1,2,2,6,-2],[5,1,7,1,5,
-1]],[[1,2],[2,2,1,1],[4,1,3,1,4,1,3,1],[1,2],[6,1,2,2,6,-2],[7,1,5,-1,7,1,5,
1]]],[[[1,2],[3,1,2,1,3,1],[1,1,2,1,4,-1,2,1,1,1,4,1]],[[1,1,2,1],[1,2,3,1,2,
1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,1,1,2],[4,1,3,1,4,1,3,1]],[[1,1,2,
1],[3,1,2,1,3,1,1,-1,2,-2,3,-1]]],[[[1,2],[1,1,2,1],[2,1,3,-1,4,-2,3,-1,4,-1,
2,-1]],[[1,2],[3,2,2,1,1,1,2,1,3,-1,2,-1,3,-1]]],[[[1,2],[1,1,2,1],[1,1,2,-1,
3,-1,4,-1,2,1,3,2,4,1]],[[1,1,2,1],[1,2,3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,
1],[2,1,1,-1,2,-1,3,-1,1,2,3,1,2,1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,1]]],[[[1,
2],[3,1,2,2,1,2,2,1,3,1],[1,2],[5,1,1,1,2,1,5,1,2,2,1,1],[4,1,6,1,4,2,6,1,4,
1]],[[1,2],[3,1,2,2,1,2,2,1,3,1],[1,2],[5,1,1,1,2,1,5,1,2,2,1,1],[4,2,6,
-2]],[[1,2],[3,1,2,2,1,2,2,1,3,1],[1,2],[5,1,1,1,2,1,5,1,2,2,1,1],[4,1,6,2,4,
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1,1,2,-1,3,1,2,2]]],[[[1,1,2,1],[2,1,3,1,1,-2,3,-1,2,1,1,-1,2,-1,3,1]],[[1,1,
2,1],[1,2,3,1,2,1],[4,1,3,1,4,1,3,1]],[[1,2],[2,1,1,1],[4,1,3,1,4,3,3,1]]],[[[
1,2],[1,1,2,1],[3,2,2,1,4,2,3,1,1,1]],[[1,1,2,1],[1,2,3,1,2,1],[4,1,3,1,4,1,3,
1]]],[[[1,2],[1,1,2,1],[4,1,3,1,4,1,3,1],[1,2],[6,1,2,-1,6,1,2,1,1,1,2,1],[7,
1,5,1,7,1,5,1]],[[1,2],[3,1,2,-1,3,1,2,1,1,1,2,1],[4,-2]],[[1,2],[1,1,2,1],[4,
1,3,1,4,1,3,1],[1,2],[6,1,2,-1,6,1,2,1,1,1,2,1],[5,1,7,1,5,1,7,-1]]],[[[1,2],[
1,1,2,1],[4,1,3,1,4,1,3,1],[1,2],[6,1,2,-1,6,1,2,1,1,1,2,1],[5,1,7,-1,5,2,7,1,
5,1]],[[1,2],[3,1,2,-1,3,1,2,1,1,1,2,1],[4,-2]],[[1,2],[1,1,2,1],[4,1,3,1,4,1,
3,1],[1,2],[6,1,2,-1,6,1,2,1,1,1,2,1],[5,-3,7,1]]],[[[1,2],[3,2,2,1,1,1,2,1,3,
-2,1,1,2,1]],[[1,1,2,1],[3,1,1,2,3,1,2,1,3,1,2,2,1,1]]],[[[1,2],[1,1,2,1],[4,
1,3,-1,4,-1,2,-1,3,1,2,1]],[[1,1,2,1],[1,2,3,1],[4,1,3,2,4,1]],[[1,2],[1,1,2,
1],[3,1,4,2,3,-1,4,-2]]],[[[1,2],[1,1,2,1],[4,1,3,1,4,3,3,1]],[[1,1,2,1],[3,1,
2,1,1,1,2,-1,3,1,2,2]]],[[[1,2],[1,1,2,1],[2,1,4,1,3,-1,4,-1,2,-1,3,-2]],[[1,
2],[1,1,2,1],[2,1,3,1,4,2,3,1,2,-1,3,-1]]],[[[1,2],[1,1,2,1],[2,2,1,1,4,1,2,1,
3,2,4,1]],[[1,1,2,1],[1,2,3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,2],[1,1,2,1],[2,1,
4,1,3,-1,2,-1,4,-1,3,-1]],[[1,2],[3,1,2,1,1,1,2,1,1,-1,2,-2,3,-1]]],[[[1,2],[
1,1,2,1],[2,1,4,1],[4,1,3,-1,5,-1,4,1,5,1,3,-1]],[[1,2],[1,1,2,1],[4,1,3,1,4,
-1,2,-1,3,2]]],[[[1,1,2,1],[2,1,1,1],[3,1,4,-1,2,-1,3,1,4,1,1,2]],[[1,1,2,1],[
3,1,1,2,3,2,1,-1,2,-2]]],[[[1,2],[1,1,2,1],[3,1,2,3,1,1,4,1,3,1,2,-1,4,-1]],[[
1,2],[1,1,2,1],[2,1,4,1,3,1,4,1,2,1,1,1,3,1,2,2]]],[[[1,1,2,1],[2,1,3,-1,1,-2,
3,1,2,1]],[[2,2,1,1,2,2,1,2]]],[[[1,1,2,1],[3,1,2,1,3,1,1,-1,2,-2,3,-1]],[[1,
2],[3,1,2,-1,3,1,2,1,1,1,2,1]]],[[[1,1,2,1],[1,2,3,1],[3,1,4,2,3,1]],[[1,1,2,
2,1,2,2,2]]],[[[1,1,2,1],[1,2,2,2,1,1],[3,1,4,1,3,1,4,1]],[[1,3,2,-1,1,-1,2,
-1]]],[[[1,2],[3,1,2,-1,3,-1,2,-1,1,-1,2,2,1,1,3,1]],[[1,2],[1,1,2,1],[3,2],[
4,1,5,1,4,1,5,1]]],[[[1,2],[1,1,2,1],[3,1,2,1,4,2,3,-2,2,-1]],[[1,2],[1,1,2,
1],[3,2],[4,1,5,1,4,1,5,1]]],[[[1,2],[1,1,2,1],[2,1,3,1,4,1,3,1,2,-1,4,-1]],[[
1,2],[3,1,2,1,3,-1,2,-1,1,-2,2,-2]]],[[[1,2],[1,1,2,1],[4,1,3,-1,4,-3,3,
-1]],[[1,2],[1,1,2,1],[3,2,4,1,3,1,4,1]]],[[[1,3]]],[[[1,2],[2,1,3,1],[3,1,4,
2,3,1]]],[[[1,2,2,3]]],[[[1,2],[1,1,2,1],[4,1,3,2,4,-1,3,-1,4,-1],[1,2],[6,1,
2,-2,1,-1,6,-1,2,-2],[7,2],[8,-1,5,1,7,1]],[[1,2],[1,1,2,1],[4,1,3,2,4,-1,3,
-1,4,-1],[1,2],[6,1,2,-2,1,-1,6,-1,2,-2],[5,1,7,1,5,1,7,-1]]],[[[1,2],[2,1,1,
1,3,1,1,1,2,1,3,1,2,-1,3,-1]],[[1,2],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,
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1,2,1,3,-2,2,-1,3,-1]],[[1,2],[1,-1,3,-1,2,1,3,1]]],[[[1,1,2,1],[3,1,1,2,3,2,
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3,-1,2,1,1,1,2,1,3,-1]],[[1,2],[2,1,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,2],[3,1,
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1],[2,1,3,1,1,2],[3,1,4,-2,3,-1]]],[[[1,2],[3,1,2,1,3,1,2,-1,1,-1,2,-1,3,
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2,2,1,2,2,1,3,1],[1,2],[5,1,1,1,2,1,5,1,2,2,1,1],[4,2,6,-2]],[[1,2],[3,1,2,2,
1,2,2,1,3,1],[1,2],[5,1,1,1,2,1,5,1,2,2,1,1],[6,1,4,-1]]],[[[1,2],[1,1,2,1],[
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1,2]]],[[[2,2,1,1,2,1]]],[[[1,2],[1,1,2,1],[3,1,2,1,4,2,3,-2,2,-1]],[[1,1,2,
1],[1,2,3,-1,2,-1],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,1,1,2],[3,1,4,1,3,1,
4,1]],[[1,1,2,-1,1,-2,2,1,1,1]]],[[[1,1,2,1],[2,1,3,1,1,2],[3,1,4,1,3,1,4,
1]],[[1,2],[1,1,2,1],[3,2],[4,1,5,1,4,1,5,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,1,
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2,1],[3,2],[4,1,5,1,4,1,5,1]],[[1,2],[1,1,2,1],[4,1,3,-1,4,-3,3,-1]]],[[[1,
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1]],[[1,2],[1,1,2,1],[4,1,3,2,4,-1,3,-1,4,-1],[1,2],[6,1,2,-2,1,-1,6,-1,2,
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1,2],[1,1,2,1],[4,1,2,1,4,2,3,2]]],[[[1,2],[1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,
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1,1,2]],[[1,2],[2,1,3,-1,2,-2,3,-1,2,-1,1,-1]]],[[[1,1,2,2,1,3]]],[[[1,1,2,
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1]]],[[[1,2],[3,1,2,3,3,1]]],[[[1,2],[1,1,2,1],[3,1,4,-1,2,-1,4,1,2,1,3,
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1,4,1,3,1]],[[1,1,2,1],[2,1,3,1],[3,1,4,-1,1,-2,4,1]],[[1,2],[1,1,2,1],[2,1,4,
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1,2,2,1,-1,2,-1,3,-1]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,1,-1,3,-1,4,-1]]],[[[1,
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4,1]],[[1,2],[2,1,3,-1],[4,1,2,-1,1,-1,3,1,4,-1]]],[[[1,2],[3,1,2,-1,3,-1,2,1,
1,1,2,1,3,-1]],[[1,2],[3,1,2,-1,3,1,2,1,1,1,2,1]]],[[[1,2],[1,1,2,1],[4,1,2,1,
3,2,4,1,2,1,3,1,4,1]],[[1,2],[1,1,2,1],[4,1,3,1,4,2,3,1]],[[1,2],[1,1,2,1],[4,
1,3,-2,2,1,1,1,3,1,4,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,-1,3,-1,4,-1,2,-1,4,
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2]],[[1,1,2,1],[1,2,3,1],[4,1,3,2,4,1]],[[1,2],[1,1,2,1],[4,1,3,-1,4,-1,2,-1,
3,1,2,1]]],[[[1,1,2,1],[3,2,2,1,1,-3,3,-1]],[[2,2],[3,1,1,2,2,-1,1,-1,3,
-1]],[[1,2],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,2],[2,1,1,1,2,1,3,-2,2,-1,
3,-1],[1,2],[5,1,2,-1,1,-1,2,-1,5,1,2,1,5,1],[6,2,4,1]],[[1,2],[2,1,1,1,2,1,3,
-2,2,-1,3,-1],[1,2],[5,1,2,-1,1,-1,2,-1,5,1,2,1,5,1],[4,1,6,-1]],[[1,2],[2,1,
1,1,2,1,3,-2,2,-1,3,-1],[1,2],[5,1,2,-1,1,-1,2,-1,5,1,2,1,5,1],[4,2,6,1]],[[1,
2],[2,1,1,1,2,1,3,-2,2,-1,3,-1],[1,2],[5,1,2,-1,1,-1,2,-1,5,1,2,1,5,1],[6,1,4,
2]]],[[[1,2],[1,1,2,1],[2,1,1,1],[2,1,5,1,3,1,4,2,3,-1,5,-1]],[[1,1,2,1],[2,2,
1,1],[3,1,4,1,3,1,1,-2,4,-1]],[[1,1,2,1],[3,1,2,1,1,2,3,-1,2,-1,3,-1]]],[[[1,
2],[1,1,2,1],[3,2,4,1,3,1,4,-1,2,-1]],[[1,1,2,1],[3,1,2,2,1,-1,2,-1,3,-1]],[[
1,2],[2,1,1,1,3,1,1,1,2,1,3,1,2,-1,3,-1]]],[[[1,2],[2,1,3,2,2,2,1,1,3,1]],[[1,
2],[3,1,2,1,3,1,2,-1,1,-1,2,-1,3,-1]]],[[[1,2],[2,2,1,1],[4,1,3,1,4,1,3,1],[1,
2],[6,1,2,2,6,-2],[5,2],[8,1,7,1,8,-1]],[[1,2],[3,1,2,2,3,-2]],[[1,2],[2,2,1,
1],[4,1,3,1,4,1,3,1],[1,2],[6,1,2,2,6,-2],[7,1,5,-1,7,1,5,1]],[[1,2],[2,2,1,
1],[4,1,3,1,4,1,3,1],[1,2],[6,1,2,2,6,-2],[5,1,7,1,5,-1,7,1]]],[[[1,2],[2,1,1,
1,2,1],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,1,1,-1,2,-1,3,-1,2,-2,3,-1]]],[[[1,
2],[1,1,2,1],[2,1,4,1,3,1,4,1,2,1,1,-1,3,-1,4,-1]],[[1,1,2,1],[1,2,3,1,2,1],[
4,1,3,1,4,1,3,1]],[[1,2],[1,1,2,1],[3,2,2,1,4,2,3,2,2,-1]]],[[[1,2],[1,1,2,
1],[3,1,2,1,3,1,4,2,3,1,2,-1,3,1]],[[1,1,2,1],[2,1,3,1,1,2],[3,1,4,1,3,1,4,
1]],[[1,2],[2,1,1,1,2,1],[3,1,4,1,3,-1,4,-1]]],[[[1,2],[1,1,2,1],[4,1,3,-2,2,
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1],[2,1,1,1,4,1,1,1,2,1,4,-1]]],[[[1,2],[1,1,2,1],[4,3,3,2]],[[1,1,2,1],[2,1,
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4,-1,2,1,4,1]]],[[[1,2],[1,1,2,1],[4,1,2,2,3,1,4,1,2,1,3,-2]],[[1,2],[1,1,2,
1],[1,1,2,-1,3,-1,4,2,3,-1,2,-2]]],[[[1,2],[2,1,1,1,2,1,3,1,2,-1,3,1]],[[1,
2],[3,1,2,-1,1,-1,2,-1,3,1,2,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,4,1,3,1],[1,2],[
6,1,2,-1,6,1,2,1,1,1,2,1],[7,1,5,1,7,1,5,1]],[[1,2],[3,1,2,-1,3,1,2,1,1,1,2,
1],[4,-2]],[[1,2],[1,1,2,1],[4,1,3,1,4,1,3,1],[1,2],[6,1,2,-1,6,1,2,1,1,1,2,
1],[5,1,7,1,5,1,7,-1]],[[1,2],[1,1,2,1],[4,1,3,1,4,1,3,1],[5,-3]]],[[[1,2],[1,
1,2,1],[3,1,2,2,4,1,3,1,4,-1,2,-1,4,1]],[[1,2],[1,1,2,1],[3,1,2,-1,3,1],[4,1,
5,1,4,1,5,1]],[[1,1,2,1],[2,1,3,1,1,2],[4,1,3,1,4,1,3,1]]],[[[1,2],[3,1,2,2,1,
2,2,1,3,1],[1,2],[5,1,1,1,2,1,5,1,2,2,1,1],[4,2,6,-2]],[[1,2],[3,1,2,2,1,2,2,
1,3,1],[1,2],[5,1,1,1,2,1,5,1,2,2,1,1],[6,1,4,2]],[[1,2],[3,1,2,2,1,2,2,1,3,
1],[1,2],[5,1,1,1,2,1,5,1,2,2,1,1],[6,1,4,-2,6,1]]],[[[1,2],[1,1,2,1],[2,2,3,
1,4,1,2,1,3,-2,4,1]],[[1,2],[2,1,3,-2,2,-1,1,-1,3,-2,2,-1]],[[1,1,2,1],[2,1,3,
1,1,2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,-2,4,-2,2,-1,3,-1]],[[
1,2,2,2,1,1,2,2]]],[[[1,1,2,1],[3,1,1,-1,2,-2,3,-1,2,-2,1,-2]],[[1,2],[1,1,2,
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1,2,1],[2,1,3,1,1,2],[3,1,4,1,3,1,4,1]],[[1,2],[1,1,2,1],[2,2,3,1,4,1,2,1,3,
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1,2,3,1,4,-1,2,-1]],[[2,1,1,1],[1,2,2,1,3,2]],[[1,1,2,1],[1,2,3,1],[4,1,3,2,4,
1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,4,-1,2,1,1,1,3,1,4,-1]],[[1,2],[3,1,2,2,1,1,
3,1,2,1,3,1]]],[[[1,2],[2,1,1,1],[2,1,4,-1,3,1,1,1,2,1,4,1,3,1]],[[1,2],[1,1,
2,1],[3,1,4,3,3,2]],[[2,1,1,1],[3,1,2,1,3,1,1,1,2,1]]],[[[1,2],[1,1,2,1],[3,2,
4,1,3,-1,4,-2]],[[1,2],[3,2,2,1,1,1,2,1,1,1,2,-1]]],[[[1,2],[1,1,2,1],[4,1,3,
1,4,1,3,2,4,1]],[[1,1,2,1],[3,1,2,2,1,-1,2,-1,3,-1]]],[[[1,2],[3,1,2,-1,3,-1,
2,1,1,1,2,1,3,-1]],[[1,1,2,1],[3,1,2,1,1,2,3,-1,2,-1,3,-1]],[[1,2],[3,1,2,1,3,
1,2,-1,1,-1,2,-1,3,-1]]],[[[1,2],[1,1,2,1],[2,1,3,-1,4,-2,3,-2,2,-1]],[[1,2],[
1,1,2,1],[4,1,3,1,1,1,3,1,2,1,4,2]]],[[[1,2],[3,1,2,-1,3,-2,2,-1,1,-1]],[[1,
2],[1,-1,2,-1,3,1]]],[[[1,2],[2,1,3,-2,2,1,3,1]],[[1,2],[2,1,3,1,2,1,3,
-2]]],[[[1,2],[3,1,2,1,3,1,2,-1,3,-2]],[[1,2],[2,1,3,-2,1,-1,2,-1]]],[[[1,2],[
1,1,2,1],[2,2],[3,1,5,1,4,1,3,-1,5,-1,4,-1]],[[1,1,2,1],[1,2,3,-1,2,-1,3,1,2,
-1]],[[1,2],[1,1,2,1],[4,1,2,1],[4,1,5,1,3,1,4,-1,5,-1,3,-1]]],[[[1,1,2,1],[1,
2,3,-1,2,-1,3,1,2,-1]],[[2,1,1,2,2,2,1,2]]],[[[1,1,2,1],[1,2,3,1,2,1,3,1,1,1,
2,-1]],[[1,1,2,1],[1,2,3,-1,2,-1,3,1,2,-1]],[[1,1,2,1],[3,2,2,1,1,3,2,
-1]]],[[[1,2],[2,1,1,-1,2,-2,1,-1,3,2,2,-1]],[[1,2],[3,1,2,1,3,1,1,1,2,1,3,1,
1,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,1,1,2,-1,4,-1,3,-2,2,-1]],[[1,2],[1,1,2,1],[
4,1,3,1,1,1,3,1,2,1,4,2]],[[1,2],[1,1,2,1],[3,1,2,1,4,2,3,-2,2,-1]]],[[[1,1,2,
1],[2,2],[1,2,4,1,3,2,4,1]],[[1,1,2,1],[2,1,1,3],[3,1,4,2,3,-1]]],[[[1,2],[3,
1,2,-1,3,1,2,1,1,1,2,1,3,1]],[[2,2,1,2,2,2,1,1]]],[[[1,2],[1,1,2,1,1,-1,2,-2,
3,2,2,1]],[[1,1,2,1],[2,1,1,2,3,2,1,1,2,-1]]],[[[1,2],[1,1,2,1],[3,2],[4,1,5,
1,4,1,5,1]],[[2,1,1,1,2,-1,1,1,2,1,1,2,2,2]]],[[[1,2],[1,1,2,1],[4,1,2,1,3,-2,
4,1,2,2,3,1]],[[1,2],[1,1,2,1],[3,2,4,1,3,1,4,-1,2,-1]],[[1,1,2,1],[2,1,3,1,1,
2],[3,1,4,-2,3,-1]]],[[[1,2],[1,1,2,1],[1,1,2,-1,3,-1,4,-1,2,1,3,2,4,1]],[[1,
1,2,2,1,2,2,2]],[[1,2],[1,1,2,1],[3,1,4,1,2,1,3,1,2,1,1,1,4,-1]]],[[[1,1,2,
1],[2,1,3,2,1,-1,2,-2,1,-2]],[[2,2,1,1,2,2,1,2]]],[[[1,2],[1,1,2,1],[4,1,3,1,
4,-2,3,-2]],[[1,1,2,1],[2,1,3,-4,2,-1]]],[[[1,1,2,1],[1,2,3,1,2,2,1,1,3,1]],[[
2,2,1,1],[3,1,1,2,2,-1,1,-1,3,-1]]],[[[1,2],[1,1,2,1],[2,1,4,1,3,-1,4,-1,3,-1,
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1,3,1,4,1]],[[1,1,2,1],[2,1,3,-4,2,-1]],[[1,1,2,1],[1,2,3,-1,2,-1],[3,1,4,1,3,
1,4,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,1,2,4,2,3,1]],[[1,2],[2,1,1,1,2,1],[3,1,4,
1,3,-1,4,-1]],[[1,2],[1,1,2,1],[3,1,4,-1,2,-1,4,1,2,1,3,-1]]],[[[1,1,2,1],[3,
1,2,1,3,1,2,1,1,1]],[[2,2,1,1,2,2]]],[[[1,2],[1,1,2,1],[4,2,3,1,4,1,3,2]],[[2,
2],[3,1,1,2,2,-1,1,-1,3,-1]]],[[[1,2],[1,1,2,1],[4,1,3,-1,4,-1,2,1,1,1,3,1,4,
-1]],[[1,2],[2,1,1,1,2,1],[3,1,4,1,3,-1,4,-1]],[[1,1,2,1],[2,1,1,1],[3,1,4,1,
1,2,3,1,4,-1,2,-1]]],[[[1,2],[2,1,1,1,3,1,1,1,2,1,3,1,2,-1,3,-1]],[[1,2],[3,1,
2,2,3,-2]],[[1,2],[3,1,2,1,1,1,2,1,1,-1,2,-2,3,-1]]],[[[1,2],[2,1,3,-1,2,-2,3,
-1,2,-1,1,-1]],[[1,1,2,4]]],[[[1,2],[2,1,1,1],[2,1,4,-1,3,1,1,1,2,1,4,1,3,
1]],[[1,2],[2,1,1,1,2,1,3,2]]],[[[1,1,2,1],[3,1,1,3,3,1,2,2,1,1]],[[1,2],[2,1,
3,1],[4,1,3,1,2,-1,1,-1,4,-1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1,1,-2]],[[1,1,
2,1],[2,1,3,1,1,2],[4,1,3,1,4,1,3,1]]],[[[1,2],[2,1,1,1,2,1],[3,1,4,1,3,1,4,
1]],[[1,1,2,2,1,2,2,2]]],[[[1,2],[1,1,2,1],[2,1,4,1,3,-1,4,-1,2,1,1,1,3,1,4,
1]],[[1,1,2,1],[1,2,3,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,
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1],[3,2,4,1,3,1,4,-1,2,-1]],[[1,2],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]]],[[[1,2],[
1,1,2,1],[4,1,2,1,3,2,2,2,4,1]],[[1,2],[2,1,3,1],[3,1,4,2,3,1]]],[[[1,2],[3,1,
2,1,1,1,2,3,1,1,3,1]]],[[[1,2],[3,1,2,-1,3,-1,2,1,1,1,3,1,1,1,2,1]],[[2,1,1,1,
2,1,1,-1,2,-2]]],[[[1,1,2,1],[1,2,2,1,1,1,3,2,2,1,3,1]],[[1,2],[3,1,1,1,2,-1,
3,-1,2,-1,1,-1,2,-1]]],[[[1,2],[1,1,2,1],[4,1,2,1,3,1,4,1,2,2,3,1]],[[1,1,2,
1],[2,1,1,1,3,2,2,1,1,-2,3,-1]]],[[[2,2,1,2,2,1,1,1]]],[[[1,1,2,1],[3,1,2,1,3,
1,1,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,1,1,3,1,2,1,3,2]]],[[[1,1,2,-1,1,1,2,2,1,
2]],[[1,1,2,2,1,-3]]],[[[1,2],[3,1,2,2,3,1,2,1,1,1,2,-1]],[[1,1,2,2,1,2,2,
2]]],[[[1,2],[1,1,2,1],[2,1,4,2,3,2,4,1]],[[1,1,2,1],[2,2,3,2,2,1,1,2]]],[[[1,
2],[1,1,2,1],[4,1,3,2,2,-1,3,1,2,1,4,2]],[[1,1,2,1],[2,1,1,1,2,-1,3,2,2,
2]]],[[[1,2],[1,1,2,1],[2,1,1,1,3,2,2,1,4,2]],[[1,1,2,1],[2,2,3,2,1,1,2,
-1]]],[[[1,2],[3,1,2,2,1,1,3,1,2,1,3,1]],[[1,-3,2,2,1,1]]],[[[1,2],[3,2,2,1,3,
1,1,1,2,2]],[[1,2],[2,1,3,-1,2,-1,1,-1,3,-1]]],[[[1,2],[1,1,2,1],[2,1,3,1,4,2,
3,1,1,1]],[[1,2],[1,1,2,1],[4,1,3,1,4,-2,3,-1]]],[[[1,1,2,1],[1,2,3,1,2,1],[3,
1,4,1,3,1,4,1],[1,1,2,1],[2,2,1,1],[6,1,7,1,6,1,7,1],[5,1,8,-1,5,1,8,1]],[[1,
1,2,1],[1,2,3,1,2,1],[3,1,4,1,3,1,4,1],[1,1,2,1],[2,2,1,1],[6,1,7,1,6,1,7,1],[
5,1,8,2]]],[[[1,1,2,1],[1,1,2,-1,1,-2,3,-1,2,2,1,1,3,1]],[[1,1,2,1],[3,1,1,2,
3,-1,2,1,1,-1,2,-1,3,1]]],[[[1,2],[1,1,2,1],[4,1,3,2,2,-2,3,-1,4,-1]],[[1,1,2,
1],[2,1,1,-1,2,-1,1,2,3,2]]],[[[2,1,1,2]]],[[[1,2],[1,1,2,1],[2,1,1,1],[3,1,5,
1,4,2,5,1,3,1]],[[2,3,1,1,2,-1,1,1,2,1]]],[[[1,1,2,1],[2,1,1,1],[3,1,2,1,4,2,
1,2,3,1]],[[1,2],[1,1,2,1],[4,1,3,-1,4,-3,3,-1]]],[[[1,2],[1,1,2,1],[3,1,2,1,
4,1,3,-1,2,-1,4,-1]],[[1,2],[3,1,2,-1,3,-1,2,1,1,1,2,1,3,-1]]],[[[1,2],[1,1,2,
1],[3,1,2,-1,3,1],[4,1,5,1,4,1,5,1]],[[1,1,2,1],[3,2,2,1,1,-2,3,-2,2,-1]],[[1,
2],[3,1,1,1,2,1,3,-2]]],[[[1,2],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]],[[1,2],[3,1,
2,1,1,-1,3,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,2,2,1,1,4,1,3,-1,4,-1,2,-1]],[[1,
2],[3,1,2,-1,3,-1,2,1,1,1,2,1,3,-1]],[[1,2],[1,1,2,1],[2,1,4,-1,3,-1,4,-1,2,2,
1,1,3,1]]],[[[1,2],[1,1,2,1,3,1,2,2,1,1,3,1]],[[1,2],[3,1,2,1,3,1,2,-1,1,-1,2,
-1,3,-1]]],[[[1,1,2,1],[3,2,2,1,1,-3,3,-1]],[[2,1,1,2,2,-1,1,-1,2,-1]],[[1,1,
2,1],[3,1,2,2,1,-1,2,-1,3,-1]]],[[[1,2],[1,1,2,1,3,-1,1,-1,2,-1,3,-2,2,-1]],[[
2,2,1,1],[3,1,1,2,2,-1,1,-1,3,-1]],[[1,2],[2,1,3,1],[4,1,3,1,2,-1,1,-1,4,
-1]]],[[[1,1,2,1],[3,1,2,2,3,1,2,1,3,1,1,-2]],[[1,1,2,-1]],[[1,1,2,1],[1,2,3,
1],[4,1,3,2,4,1]]],[[[1,2],[1,1,2,1],[4,1,3,-2,2,1,1,1,3,1,4,-1]],[[1,1,2,1],[
2,1,3,1,2,2,3,1]],[[1,2],[3,1,2,1,3,1,2,-1,1,-1,2,-1,3,-1]]],[[[1,1,2,1],[2,1,
3,2,2,1,1,3,3,-1]],[[1,1,2,-1]],[[1,1,2,1],[2,1,1,1],[4,1,2,-1,3,2,4,1]]],[[[
1,2],[2,2,3,1,2,1,1,1,3,1,2,-1,1,-1]],[[1,2],[1,1,2,1],[4,1,3,1,2,1,1,-1,3,-1,
4,-1]]],[[[1,2],[1,1,2,1],[2,1,4,-1,3,-1,4,-1,2,1,3,2]],[[1,2,2,-2]],[[1,1,2,
1],[2,1,3,1],[3,1,4,-1,1,-2,4,1]]],[[[2,1,1,1],[2,1,3,2,1,2]],[[1,2],[1,-1,2,
-1,3,1]]],[[[1,2],[1,1,2,1],[4,1,3,1,4,-1,2,-1,3,2]],[[1,2],[3,1,2,-1,1,-2,2,
-1,3,1]],[[1,1,2,1],[2,1,3,1,1,2],[4,1,3,1,4,1,3,1]]],[[[1,2],[3,1,2,-2,1,-1,
3,-1,2,-2]],[[1,2],[3,1,2,1,1,1,2,1,3,-1,2,-1]]],[[[1,2],[1,1,2,1],[4,1,3,1,4,
2,3,1,4,-1]],[[1,1,2,1],[3,1,1,2],[3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,3,1,1,
2],[3,1,4,1,3,1,4,1]],[[1,1,2,1],[2,2,3,1,1,-2,3,-1]],[[1,1,2,1],[3,1,2,1,1,2,
3,-1,2,-1,3,-1]]],[[[2,1,1,1],[2,1,3,2,1,2]],[[1,-3,2,2,1,1]]],[[[1,1,2,1],[2,
1,1,3,3,-2,2,-2]],[[1,2],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,2],[1,1,2,1],[
4,1,2,1,1,-1,3,-2,2,-1,4,-1]],[[1,1,2,1],[1,2,3,1],[4,1,3,2,4,1]]],[[[1,2],[1,
1,2,1],[3,1,4,-1,2,-1,4,-1,1,-1,2,-1,3,-1]],[[1,1,2,1],[1,2,3,1],[4,2,3,
1]]],[[[1,2],[3,1,1,1,2,-1,3,-1,2,-1,1,-1,2,-1]],[[1,2],[3,1,2,1,1,1,2,1,3,-1,
2,-1]]],[[[1,2],[2,1,1,1,2,1],[4,1,3,1,4,1,3,1]],[[1,1,2,1],[1,2,3,1],[3,1,4,
2]]],[[[1,2],[1,1,2,1],[3,1,2,-1,3,1],[4,1,5,1,4,1,5,1]],[[1,2],[3,1,2,1,1,1,
2,1,1,-1,2,-2,3,-1]],[[1,1,2,1],[2,1,3,1,1,2],[4,1,3,1,4,1,3,1]]],[[[1,2],[2,
1,1,1],[4,1,3,1,2,2,4,1,3,1,4,1]],[[1,1,2,1],[2,1,3,1,1,2],[4,1,3,1,4,1,3,
1]],[[1,2],[1,1,2,1],[4,1,3,2,2,1,4,1,3,-2]]],[[[1,2],[1,1,2,1],[4,1,3,2,2,-2,
3,-1,4,-1]],[[1,2],[1,1,2,1],[2,1,3,1,4,2,2,1,3,1]]],[[[1,1,2,1],[2,1,1,1],[3,
1,4,-1,2,-1,3,-1,4,-1,1,-2]],[[1,1,2,1],[3,1,2,1,1,2,3,-1,2,-1,3,-1]],[[1,1,2,
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1]]],[[[1,2],[1,1,2,1],[3,1,2,1,4,1,2,1,1,1,3,1,4,-1]],[[1,2],[1,1,2,1],[2,1,
4,1,3,1,4,1,3,1]],[[1,1,2,1],[3,1,2,1,3,1,2,1,1,1]]],[[[1,2],[3,1,2,2,3,
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3,3,2,1,1,1,4,1]]],[[[1,2],[1,1,2,2,3,2,2,1,3,1]],[[1,2],[3,1,2,1,1,-1,3,
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1,4,1,3,1,4,1,2,1]],[[1,2],[2,1,1,1,2,1],[3,1,4,1,3,1,4,1]]],[[[1,2],[1,1,2,
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1,2,1],[1,2,2,-2,3,-2,2,-1]],[[2,2,1,1,2,2,1,2]]],[[[1,2],[1,1,2,1],[4,2,3,
3]],[[1,1,2,1],[2,1,3,2,2,2]]],[[[1,2],[3,1,2,-2,1,-1,3,-1,1,-1,2,-1]],[[1,
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3,1,1,1,2,1,3,1,2,2]],[[1,2],[1,1,2,1],[4,1,3,-1,4,-3,3,-1]]],[[[1,1,2,1],[2,
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3,1]]],[[[1,2],[1,1,2,1],[2,1,4,1],[5,1,3,-1,4,-1,3,1,5,-1,4,1]],[[1,1,2,1],[
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1]],[[1,2],[3,1,2,1,3,3,2,1]],[[1,2],[1,1,2,1],[4,1,3,1,4,3,3,1]]],[[[1,2],[1,
1,2,1],[2,1,3,2,4,2,3,1]],[[1,1,2,1],[2,1,3,-1,1,-2,3,1,2,1]]],[[[1,2],[1,1,2,
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1,3,2,2,1,1,-2]],[[1,2],[3,2,2,2,3,2]]],[[[1,2],[1,1,2,1],[3,1,4,-1,2,-1,4,1,
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2,1,4,2,3,2,2,-1]],[[1,1,2,1],[2,2,1,2],[4,1,3,1,4,-1,3,-1]],[[1,2],[1,1,2,
1],[2,1,3,-2,4,2,3,1,2,-1,3,-1]]],[[[1,1,2,1],[3,1,1,3,3,1,2,2,1,1]],[[1,2],[
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1,2,1],[3,1,2,2,1,1,2,1,3,1,1,-2]]],[[[1,2],[1,1,2,1],[3,1,2,1,4,1,2,1,1,1,3,
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4,2,3,1]],[[2,1,1,-1,2,-1],[1,1,2,1,3,-1,1,-2,3,-1]]],[[[1,2],[1,1,2,1],[4,1,
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1]],[[1,1,2,1],[2,1,3,-1,1,-2,2,1,3,1]],[[1,1,2,1],[2,1,3,-1,2,1,3,1,1,
-2]]],[[[1,2],[1,1,2,1],[4,1,3,3,4,1,2,1]],[[1,1,2,-1,1,-1,2,1]]],[[[1,2],[1,
1,2,1],[2,1,4,1,3,1,4,1,3,1]],[[1,2],[2,1,1,1,2,1,3,1,2,1,1,1,3,1]]],[[[1,1,2,
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2,4,1]],[[1,2],[1,1,2,1],[3,1,2,1,3,1,4,-1,2,-1,4,1]]],[[[1,1,2,1],[1,2,3,1],[
3,1,4,2,3,1]],[[1,1,2,1],[2,1,3,2,2,2,1,1,3,1]]],[[[1,2],[1,1,2,1],[4,2,2,1,3,
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1]],[[1,2],[3,1,2,1,3,1,2,-1,1,-1,2,-1,3,-1]]],[[[1,2],[2,2,1,1],[4,1,3,1,4,1,
3,1]],[[1,2],[1,1,2,2],[3,1,4,1,3,1,4,1]]],[[[1,2],[1,1,2,2],[3,1,4,1,3,1,4,
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2],[2,1,1,1,2,1],[3,1,4,-1,3,1,4,1]]],[[[1,2],[1,1,2,1],[3,2,2,1,4,2,3,2,2,
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4,2,3,1,2,-1,3,-1]]],[[[1,2],[2,1,1,1],[4,1,3,1,4,1,3,1]],[[1,2],[2,1,3,-2,2,
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1,2,-1,1,-1,2,-1,3,-1]],[[1,2],[3,1,1,1,2,1,3,1,2,1,1,1,2,-1]]],[[[1,2],[1,1,
2,1],[3,1,2,1,4,1,2,1,1,1,3,1,4,-1]],[[1,1,2,1],[2,1,3,-3,2,-1]]],[[[1,2],[2,
1,1,1,3,1,2,1,3,2]],[[1,-3,2,2,1,1]]],[[[1,2],[1,1,2,1],[3,2],[5,1,4,2,5,
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2]]],[[[1,2],[2,2],[4,1,3,1,2,-1,1,-1,4,-1,3,-1]],[[1,1,2,1],[3,1,2,1,1,2,3,1,
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2],[3,2,2,1,3,1,2,1,3,1]],[[1,1,2,1],[3,1,1,2,3,1,2,1]]],[[[1,2],[1,1,2,1],[4,
1,3,2,4,-2,3,-1]],[[1,1,2,1],[1,2,2,-1,3,-2,1,-1,2,-1]],[[1,2],[2,1,1,-1,2,-1,
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1,3,1]],[[1,2,2,-1,1,-1]]],[[[1,2],[2,1,1,1,2,1,3,-1,2,-1,3,-2]],[[1,2,2,-1,1,
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1,3,1,4,1]],[[1,2],[3,1,2,-1,3,-2,2,-1,1,-1]],[[2,1,1,2,2,-1,1,-1,2,-1]]],[[[
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4,1,3,1]],[[1,2],[1,1,2,1],[4,2,3,1,4,1,3,1,4,1]]],[[[1,1,2,1],[2,1,1,3,3,2,2,
2]],[[1,1,2,1],[3,2,2,1,1,3,2,-1]]],[[[1,1,2,1],[2,1,3,2,2,1,1,3,3,-1]],[[2,1,
1,1],[2,1,3,1,1,2,3,1,1,1,2,1]]],[[[1,2],[2,1,1,1,2,1,3,2,2,-1]],[[1,2],[1,-1,
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LIBTOM( "3^4:2^3.S4",
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169,172,178,261],[1,2,3,4,5,8,12,13,15,16,17,18,19,20,28,32,33,39,43,44,45,50,
52,58,60,64,81,82,86,87,91,93,94,105,107,108,109,114,176,177,179,181,183,185,
188,262],[1,4,7,10,11,26,29,38,41,69,76,78,136,163,164,201,263],[1,4,7,10,11,
26,29,38,41,69,73,76,130,163,164,190,264],[1,4,8,10,11,29,42,45,75,76,137,156,
195,265],[1,4,8,10,11,26,33,41,75,76,158,164,195,266],[1,4,7,10,11,26,29,42,
69,73,76,130,156,190,267],[1,4,10,26,29,67,72,73,130,153,194,268],[1,4,6,7,9,
10,11,26,30,38,41,68,69,70,76,79,128,143,163,164,199,269],[1,4,8,9,10,26,33,
40,45,71,74,75,134,145,158,162,197,270],[1,5,6,8,10,24,27,44,75,77,80,141,142,
157,160,189,271],[1,2,6,8,9,10,35,36,37,39,71,74,77,79,80,146,149,151,159,165,
200,272],[1,2,7,10,11,31,36,69,73,76,129,166,190,273],[1,4,6,8,9,10,26,29,40,
45,73,74,75,77,78,79,130,136,137,145,152,192,274],[1,4,8,9,10,29,30,33,45,71,
74,75,135,137,148,162,197,275],[1,5,6,8,9,10,27,43,44,71,74,77,79,80,139,140,
150,157,200,276],[1,4,7,8,10,26,33,38,69,75,158,163,193,277],[1,4,8,10,29,45,
72,75,137,153,198,278],[1,4,6,8,9,10,29,30,33,40,71,74,77,79,80,134,135,138,
152,200,279],[1,5,6,8,10,24,27,43,75,77,80,140,141,142,154,189,280],[1,3,8,9,
10,25,28,34,71,74,75,125,126,127,197,281],[1,4,10,26,29,67,72,78,136,153,191,
282],[1,5,6,8,9,10,24,43,44,71,74,77,79,80,139,150,154,160,200,283],[1,4,6,8,
9,10,26,29,30,33,73,74,75,77,78,79,130,135,136,143,158,192,284],[1,3,6,8,9,10,
28,32,34,71,74,77,79,80,127,131,133,200,285],[1,2,7,10,11,31,36,69,76,78,161,
166,201,286],[1,4,7,10,11,26,29,42,69,76,78,136,156,201,287],[1,4,6,8,9,10,26,
30,40,45,71,74,77,79,80,138,143,145,148,200,288],[1,2,6,8,10,35,36,39,75,77,
80,124,149,165,189,289],[1,2,6,7,9,10,11,31,35,36,37,68,69,70,76,79,132,151,
155,166,199,290],[1,2,6,8,9,10,35,36,37,39,73,74,75,77,78,79,124,129,146,149,
151,161,192,291],[1,3,8,9,10,25,32,34,71,74,75,125,131,147,197,292],[1,2,8,9,
10,36,37,39,71,74,75,124,146,159,197,293],[1,4,6,7,9,10,11,29,40,42,68,69,70,
76,79,144,152,156,199,294],[1,4,6,9,10,29,40,67,72,79,152,153,196,295],[1,2,8,
10,11,31,36,39,75,76,124,166,195,296],[1,3,6,8,9,10,25,28,32,71,74,77,79,80,
126,133,147,200,297],[1,2,3,4,5,12,13,14,15,16,17,18,19,20,21,22,23,46,47,48,
49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,110,111,112,113,114,115,
116,117,118,119,120,121,122,123,203,204,205,206,207,208,209,298],[1,3,4,8,9,
14,15,20,25,28,30,34,40,62,71,93,96,99,100,104,106,125,126,138,167,173,229,
240,243,299],[1,2,3,5,8,9,13,17,19,25,28,32,34,37,39,43,44,52,71,82,86,87,90,
91,107,126,131,150,159,181,212,217,254,255,300],[1,3,4,5,8,9,12,17,18,30,32,
34,40,43,44,50,71,86,89,131,138,150,224,254,256,301],[1,3,4,8,9,14,15,20,25,
32,33,34,45,62,71,100,105,125,131,162,228,233,251,302],[1,2,3,5,6,8,13,19,21,
24,27,28,32,35,39,65,80,98,107,133,141,165,218,223,257,303],[1,2,3,5,8,9,13,
19,22,25,34,37,39,43,44,63,71,87,90,125,150,159,213,217,238,304],[1,2,3,5,6,8,
13,19,22,24,27,28,32,35,39,63,80,98,107,133,142,165,218,244,253,305],[1,2,10,
21,36,46,78,161,214,306],[1,3,4,5,8,9,12,17,18,25,28,33,43,44,45,50,71,82,85,
91,94,108,109,126,150,162,176,179,241,246,255,307],[1,2,3,8,9,19,21,22,25,28,
32,34,37,39,51,71,90,107,126,131,159,212,235,238,308],[1,2,3,8,9,14,19,25,28,
32,34,37,39,59,71,90,100,106,107,125,126,131,159,168,212,213,243,251,309],[1,
3,4,5,8,9,17,18,20,30,32,34,40,43,44,64,71,86,89,131,138,150,224,233,254,
310],[1,3,4,7,9,11,12,14,15,25,30,38,41,48,70,85,97,103,104,106,128,178,182,
186,239,311],[1,3,4,8,9,12,14,15,25,32,33,34,45,48,71,100,105,125,131,162,228,
251,256,312],[1,2,4,8,9,16,22,30,33,37,39,40,45,49,71,81,88,138,159,162,211,
234,238,313],[1,2,5,6,8,13,23,24,27,35,39,43,44,53,80,84,87,98,102,141,142,
154,157,165,174,210,232,244,250,257,314],[1,2,10,22,36,47,73,129,230,315],[1,
2,3,4,8,9,15,16,18,19,25,28,30,32,34,37,39,40,58,71,88,89,90,96,104,107,126,
131,138,159,187,212,224,229,234,316],[1,2,3,4,8,9,10,15,16,18,19,25,26,28,29,
30,32,33,34,36,37,39,40,45,58,74,81,88,89,90,94,96,101,104,105,107,109,127,
134,135,145,146,147,148,183,187,215,222,226,236,242,245,248,317],[1,2,5,6,8,
13,21,24,27,35,39,43,44,55,80,87,98,139,142,165,223,244,247,318],[1,3,4,7,9,
11,14,15,20,25,40,42,62,70,96,97,99,103,106,144,167,172,239,319],[1,2,3,5,8,9,
13,19,21,25,34,37,39,43,44,65,71,87,90,125,150,159,213,217,235,320],[1,3,4,5,
8,9,17,18,20,25,28,33,43,44,45,64,71,82,91,93,94,99,109,126,150,162,185,188,
240,241,255,321],[1,2,5,6,8,13,22,24,27,35,39,43,44,54,80,87,98,139,141,165,
247,253,257,322],[1,2,4,10,16,21,26,29,36,61,78,101,136,161,214,221,323],[1,2,
10,21,36,66,78,161,214,324],[1,2,4,10,16,22,26,29,36,49,73,101,129,130,216,
230,325],[1,2,5,6,8,13,21,22,24,27,35,39,43,44,57,80,87,98,154,157,165,223,
250,253,326],[1,2,10,22,36,56,73,129,230,327],[1,3,4,8,9,12,14,15,25,28,30,34,
40,48,71,85,96,100,104,106,108,125,126,138,180,186,229,243,246,328],[1,2,5,6,
7,11,13,23,24,27,31,35,53,68,83,84,95,98,102,132,174,175,231,329],[1,2,4,8,9,
16,21,30,33,37,39,40,45,61,71,81,88,138,159,162,211,234,235,330],[1,2,3,4,8,9,
15,16,18,19,25,28,32,33,34,37,39,45,58,71,81,90,94,105,107,109,126,131,159,
162,183,211,212,228,241,331],[1,2,3,7,9,11,14,19,25,31,34,37,59,70,90,97,100,
103,106,155,168,169,239,332],[1,2,3,8,9,12,19,20,25,28,32,34,37,39,60,71,90,
107,126,131,159,212,233,256,333],[1,2,3,5,6,8,13,17,19,24,27,28,32,35,39,43,
44,52,80,82,86,87,91,98,107,133,139,154,157,165,181,218,237,247,249,250,334],[
1,2,3,8,9,12,19,20,25,28,32,34,37,39,60,71,85,90,93,99,107,108,126,131,159,
171,177,212,240,246,335],[1,7,8,9,10,67,69,71,74,75,193,197,202,336],[1,6,8,
10,11,67,75,76,77,80,189,195,202,337],[1,8,9,10,11,71,72,74,75,76,195,197,198,
338],[1,6,7,8,9,10,11,68,69,70,73,74,75,76,77,78,79,190,192,193,195,199,201,
339],[1,6,8,9,10,71,73,74,75,77,78,79,80,189,192,197,200,340],[1,6,8,9,10,67,
72,73,74,75,77,78,79,191,192,194,196,198,202,341],[1,6,7,8,10,67,69,72,75,77,
80,189,193,198,202,342],[1,2,3,5,11,13,14,17,19,21,22,23,31,47,51,52,53,54,55,
57,59,63,65,66,95,97,117,118,119,120,169,170,175,184,203,343],[1,3,8,9,10,14,
25,28,32,34,71,74,75,100,106,125,126,127,131,147,197,243,251,281,292,344],[1,
3,4,8,9,10,15,25,26,32,33,34,40,45,71,74,75,96,105,125,131,134,145,147,158,
162,197,226,228,270,292,345],[1,2,5,6,8,10,13,24,27,35,36,39,43,44,75,77,80,
87,98,124,140,141,142,149,154,157,160,165,189,244,250,252,257,271,280,289,
346],[1,5,6,8,10,23,24,27,44,75,77,80,102,141,142,157,160,189,232,271,347],[1,
2,4,6,8,9,10,16,26,29,30,33,35,36,37,39,40,45,73,74,75,77,78,79,81,88,101,124,
129,130,135,136,137,143,145,146,149,151,152,158,161,192,216,220,221,225,248,
274,284,291,348],[1,2,4,7,10,11,16,26,29,31,36,38,41,42,69,73,76,92,101,129,
130,156,163,164,166,190,216,227,264,267,273,349],[1,3,4,6,8,9,10,15,25,26,28,
29,30,32,33,40,45,71,74,77,79,80,96,104,105,126,133,134,135,138,143,145,147,
148,152,200,222,226,229,279,288,297,350],[1,3,4,8,9,10,18,25,26,28,29,30,33,
34,40,45,71,74,75,89,94,109,125,126,127,134,135,137,145,148,158,162,197,236,
241,242,270,275,281,351],[1,3,6,8,9,10,12,28,32,34,71,74,77,79,80,108,127,131,
133,200,256,285,352],[1,2,4,6,7,9,10,11,16,26,29,30,31,35,36,37,38,40,41,42,
68,69,70,76,79,88,92,101,128,132,143,144,151,152,155,156,163,164,166,199,219,
225,227,269,290,294,353],[1,3,5,6,8,9,10,17,24,28,32,34,43,44,71,74,77,79,80,
82,86,127,131,133,139,150,154,160,200,237,254,283,285,354],[1,3,6,8,9,10,20,
28,32,34,71,74,77,79,80,93,127,131,133,200,233,285,355],[1,2,4,7,10,11,16,26,
29,31,36,38,41,42,69,76,78,92,101,136,156,161,163,164,166,201,221,227,263,286,
287,356],[1,3,4,6,8,9,10,18,28,29,30,32,33,34,40,71,74,77,79,80,89,94,127,131,
133,134,135,138,152,200,224,236,279,285,357],[1,3,8,9,10,20,25,32,34,71,74,75,
99,125,131,147,197,233,292,358],[1,2,3,6,8,9,10,19,25,28,32,34,35,36,37,39,71,
74,77,79,80,90,107,126,127,131,133,146,147,149,151,159,165,200,212,215,218,
272,285,297,359],[1,2,5,6,8,9,10,13,24,27,35,36,37,39,43,44,71,74,77,79,80,87,
98,139,140,146,149,150,151,154,157,159,160,165,200,217,247,250,252,272,276,
283,360],[1,2,4,6,8,9,10,16,26,29,30,33,35,36,37,39,40,45,71,74,77,79,80,81,
88,101,134,135,138,143,145,146,148,149,151,152,159,165,200,225,234,245,248,
272,279,288,361],[1,2,4,8,9,10,16,26,29,30,33,36,37,39,40,45,71,74,75,81,88,
101,124,134,135,137,145,146,148,158,159,162,197,211,220,245,248,270,275,293,
362],[1,2,4,8,10,11,16,26,29,31,33,36,39,41,42,45,75,76,81,92,101,124,137,156,
158,164,166,195,220,227,265,266,296,363],[1,3,8,9,10,14,25,32,34,71,74,75,100,
125,131,147,197,251,292,364],[1,3,8,9,10,12,25,32,34,71,74,75,85,125,131,147,
197,256,292,365],[1,3,4,6,8,9,10,18,26,28,30,32,34,40,45,71,74,77,79,80,89,
109,127,131,133,138,143,145,148,200,224,242,285,288,366],[1,3,5,6,8,9,10,17,
27,28,32,34,43,44,71,74,77,79,80,86,91,127,131,133,139,140,150,157,200,249,
254,276,285,367],[1,2,3,8,9,10,19,25,28,32,34,36,37,39,71,74,75,90,107,124,
125,126,127,131,146,147,159,197,212,213,215,281,292,293,368],[1,3,4,8,9,10,15,
25,29,30,32,33,34,45,71,74,75,104,105,125,131,135,137,147,148,162,197,222,228,
275,292,369],[1,3,5,6,8,9,10,17,24,25,27,28,32,43,44,71,74,77,79,80,82,86,91,
126,133,139,140,147,150,154,157,160,200,237,249,255,276,283,297,370],[1,5,6,8,
10,23,24,27,43,44,75,77,80,84,102,140,141,142,154,157,160,189,210,232,271,280,
371],[1,2,3,4,8,9,15,16,18,19,21,22,25,28,30,32,33,34,37,39,40,45,49,51,58,61,
71,81,88,89,90,94,96,104,105,107,109,122,126,131,138,159,162,183,187,211,212,
224,228,229,234,235,238,241,308,313,316,330,331,372],[1,2,3,5,8,9,13,14,17,19,
21,22,25,28,32,34,37,39,43,44,51,52,59,63,65,71,82,86,87,90,91,100,106,107,
118,125,126,131,150,159,168,181,212,213,217,235,238,243,251,254,255,300,304,
308,309,320,373],[1,2,3,4,8,9,12,14,15,16,18,19,20,25,28,32,33,34,37,39,45,48,
58,59,60,62,71,81,90,94,100,105,106,107,109,112,125,126,131,159,162,168,183,
211,212,213,228,233,241,243,251,256,302,309,312,331,333,374],[1,2,3,4,5,8,9,
12,13,15,16,17,18,19,20,25,28,30,32,34,37,39,40,43,44,50,52,58,60,64,71,82,86,
87,88,89,90,91,96,104,107,114,126,131,138,150,159,181,187,212,217,224,229,233,
234,254,255,256,300,301,310,316,333,375],[1,2,3,4,7,9,11,12,14,15,16,18,19,20,
25,30,31,34,37,38,40,41,42,48,58,59,60,62,70,85,88,89,90,92,96,97,99,100,103,
104,106,112,128,144,155,167,168,169,171,172,173,178,180,182,186,187,219,239,
258,261,311,319,332,376],[1,2,3,4,5,8,9,12,13,15,16,17,18,19,20,25,28,32,33,
34,37,39,43,44,45,50,52,58,60,64,71,81,82,85,86,87,90,91,93,94,99,105,107,108,
109,114,126,131,150,159,162,171,176,177,179,181,183,185,188,211,212,217,228,
240,241,246,254,255,262,300,307,321,331,335,377],[1,2,4,10,16,21,26,29,36,46,
61,66,78,101,123,136,161,214,221,306,323,324,378],[1,2,3,5,6,8,13,17,19,21,22,
23,24,27,28,32,35,39,43,44,52,53,54,55,57,63,65,80,82,84,86,87,91,98,102,107,
119,133,139,141,142,154,157,165,174,181,210,218,223,232,237,244,247,249,250,
253,257,303,305,314,318,322,326,334,379],[1,2,4,10,16,22,26,29,36,47,49,56,73,
101,110,129,130,216,230,315,325,327,380],[1,2,3,8,9,12,19,20,21,22,25,28,32,
34,37,39,51,60,71,85,90,93,99,107,108,116,126,131,159,171,177,212,233,235,238,
240,246,256,308,333,335,381],[1,2,3,4,8,9,12,14,15,16,18,19,20,25,28,30,32,34,
37,39,40,48,58,59,60,62,71,85,88,89,90,93,96,99,100,104,106,107,108,112,125,
126,131,138,159,167,168,171,173,177,180,186,187,212,213,224,229,234,240,243,
246,251,258,299,309,316,328,335,382],[1,4,6,7,8,9,10,11,26,29,40,42,45,68,69,
70,73,74,75,76,77,78,79,130,136,137,144,145,152,156,190,192,193,195,199,201,
265,267,274,287,294,339,383],[1,4,8,9,10,11,29,30,33,42,45,71,72,74,75,76,135,
137,148,153,156,162,195,197,198,265,275,278,338,384],[1,4,8,9,10,11,26,33,40,
41,45,71,72,74,75,76,134,145,158,162,164,195,197,198,266,270,338,385],[1,2,6,
8,10,11,31,35,36,39,67,75,76,77,80,124,149,165,166,189,195,202,289,296,337,
386],[1,4,6,8,9,10,26,29,30,33,40,45,71,73,74,75,77,78,79,80,130,134,135,136,
137,138,143,145,148,152,158,162,189,192,197,200,270,274,275,279,284,288,340,
387],[1,4,6,8,9,10,26,29,40,45,67,72,73,74,75,77,78,79,130,136,137,145,152,
153,191,192,194,196,198,202,268,274,278,282,295,341,388],[1,4,6,7,8,9,10,11,
26,29,30,33,38,41,68,69,70,73,74,75,76,77,78,79,128,130,135,136,143,158,163,
164,190,192,193,195,199,201,263,264,266,269,277,284,339,389],[1,2,6,8,9,10,35,
36,37,39,71,73,74,75,77,78,79,80,124,129,146,149,151,159,161,165,189,192,197,
200,272,289,291,293,340,390],[1,2,8,9,10,11,31,36,37,39,71,72,74,75,76,124,
146,159,166,195,197,198,293,296,338,391],[1,4,7,8,9,10,26,33,38,40,45,67,69,
71,74,75,134,145,158,162,163,193,197,202,270,277,336,392],[1,3,6,8,9,10,25,28,
32,34,71,73,74,75,77,78,79,80,125,126,127,131,133,147,189,192,197,200,281,285,
292,297,340,393],[1,5,6,8,9,10,24,27,43,44,71,73,74,75,77,78,79,80,139,140,
141,142,150,154,157,160,189,192,197,200,271,276,280,283,340,394],[1,2,6,7,8,9,
10,11,31,35,36,37,39,68,69,70,73,74,75,76,77,78,79,124,129,132,146,149,151,
155,161,166,190,192,193,195,199,201,273,286,290,291,296,339,395],[1,2,3,4,5,
11,12,13,14,15,16,17,18,19,20,21,22,23,31,41,42,46,47,48,49,50,51,52,53,54,55,
56,57,58,59,60,61,62,63,64,65,66,92,95,97,110,111,112,113,114,115,116,117,118,
119,120,121,122,123,169,170,172,175,178,184,203,204,205,206,207,208,209,259,
260,261,298,343,396],[1,2,3,4,8,9,10,15,16,18,19,25,26,28,29,30,32,33,34,36,
37,39,40,45,58,71,74,75,81,88,89,90,94,96,101,104,105,107,109,124,125,126,127,
131,134,135,137,145,146,147,148,158,159,162,183,187,197,211,212,213,215,220,
222,226,228,236,241,242,245,248,270,275,281,292,293,317,331,345,351,362,368,
369,397],[1,2,7,10,11,22,31,36,47,69,73,76,129,166,184,190,230,273,315,398],[
1,3,4,5,6,8,9,10,17,18,20,27,28,29,30,32,33,34,40,43,44,64,71,74,77,79,80,86,
89,91,93,94,127,131,133,134,135,138,139,140,150,152,157,188,200,224,233,236,
249,254,276,279,285,310,355,357,367,399],[1,3,4,8,9,10,12,14,15,25,28,29,30,
32,33,34,45,48,71,74,75,85,100,104,105,106,125,126,127,131,135,137,147,148,
162,186,197,222,228,243,251,256,275,281,292,312,344,365,369,400],[1,3,4,8,9,
10,14,15,20,25,26,28,32,33,34,40,45,62,71,74,75,96,99,100,105,106,125,126,127,
131,134,145,147,158,162,167,197,226,228,233,243,251,270,281,292,302,344,345,
358,401],[1,2,3,4,6,8,9,10,15,16,18,19,25,26,28,29,30,32,33,34,35,36,37,39,40,
45,58,71,74,77,79,80,81,88,89,90,94,96,101,104,105,107,109,126,127,131,133,
134,135,138,143,145,146,147,148,149,151,152,159,165,183,187,200,212,215,218,
222,224,225,226,229,234,236,242,245,248,272,279,285,288,297,316,317,350,357,
359,361,366,402],[1,2,7,10,11,21,31,36,66,69,76,78,161,166,170,201,214,286,
324,403],[1,3,4,5,6,8,9,10,17,18,20,24,26,28,30,32,34,40,43,44,45,64,71,74,77,
79,80,82,86,89,93,109,127,131,133,138,139,143,145,148,150,154,160,185,200,224,
233,237,242,254,283,285,288,310,354,355,366,404],[1,3,4,5,6,8,9,10,12,17,18,
26,27,28,30,32,34,40,43,44,45,50,71,74,77,79,80,86,89,91,108,109,127,131,133,
138,139,140,143,145,148,150,157,176,200,224,242,249,254,256,276,285,288,301,
352,366,367,405],[1,2,3,6,8,9,10,12,19,20,25,28,32,34,35,36,37,39,60,71,74,77,
79,80,90,93,107,108,126,127,131,133,146,147,149,151,159,165,177,200,212,215,
218,233,256,272,285,297,333,352,355,359,406],[1,3,4,8,9,10,14,15,20,25,29,30,
32,33,34,45,62,71,74,75,99,100,104,105,125,131,135,137,147,148,162,173,197,
222,228,233,251,275,292,302,358,364,369,407],[1,3,4,5,6,8,9,10,12,17,18,24,28,
29,30,32,33,34,40,43,44,50,71,74,77,79,80,82,86,89,94,108,127,131,133,134,135,
138,139,150,152,154,160,179,200,224,236,237,254,256,279,283,285,301,352,354,
357,408],[1,2,3,5,6,8,9,10,13,17,19,24,25,27,28,32,34,35,36,37,39,43,44,52,71,
74,77,79,80,82,86,87,90,91,98,107,126,127,131,133,139,140,146,147,149,150,151,
154,157,159,160,165,181,200,212,215,217,218,237,247,249,250,252,254,255,272,
276,283,285,297,300,334,354,359,360,367,370,409],[1,2,3,8,9,10,14,19,25,28,32,
34,36,37,39,59,71,74,75,90,100,106,107,124,125,126,127,131,146,147,159,168,
197,212,213,215,243,251,281,292,293,309,344,364,368,410],[1,3,4,8,9,10,12,14,
15,25,26,32,33,34,40,45,48,71,74,75,85,96,100,105,125,131,134,145,147,158,162,
180,197,226,228,251,256,270,292,312,345,364,365,411],[1,2,5,6,8,10,13,23,24,
27,35,36,39,43,44,53,75,77,80,84,87,98,102,124,140,141,142,149,154,157,160,
165,174,189,210,232,244,250,252,257,271,280,289,314,346,347,371,412],[1,2,3,8,
9,10,12,19,20,25,28,32,34,36,37,39,60,71,74,75,85,90,99,107,124,125,126,127,
131,146,147,159,171,197,212,213,215,233,256,281,292,293,333,358,365,368,413],[
1,6,7,8,9,10,11,67,68,69,70,71,72,73,74,75,76,77,78,79,80,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,336,337,338,339,340,341,342,414],[1,2,3,4,
5,8,9,12,13,14,15,16,17,18,19,20,21,22,25,28,30,32,33,34,37,39,40,43,44,45,48,
49,50,51,52,58,59,60,61,62,63,64,65,71,81,82,85,86,87,88,89,90,91,93,94,96,99,
100,104,105,106,107,108,109,112,114,116,118,122,125,126,131,138,150,159,162,
167,168,171,173,176,177,179,180,181,183,185,186,187,188,209,211,212,213,217,
224,228,229,233,234,235,238,240,241,243,246,251,254,255,256,258,262,299,300,
301,302,304,307,308,309,310,312,313,316,320,321,328,330,331,333,335,372,373,
374,375,377,381,382,415],[1,3,6,8,9,10,20,25,28,32,34,71,73,74,75,77,78,79,80,
93,99,125,126,127,131,133,147,189,192,197,200,233,240,281,285,292,297,340,355,
358,393,416],[1,3,7,8,9,10,14,25,32,34,67,69,71,74,75,100,103,125,131,147,193,
197,202,251,292,336,364,417],[1,2,3,6,8,9,10,19,25,28,32,34,35,36,37,39,71,73,
74,75,77,78,79,80,90,107,124,125,126,127,129,131,133,146,147,149,151,159,161,
165,189,192,197,200,212,213,215,218,272,281,285,289,291,292,293,297,340,359,
368,390,393,418],[1,3,6,8,9,10,14,25,28,32,34,71,73,74,75,77,78,79,80,100,106,
125,126,127,131,133,147,189,192,197,200,243,251,281,285,292,297,340,344,364,
393,419],[1,5,6,7,8,10,23,24,27,44,67,69,72,75,77,80,83,102,141,142,157,160,
189,193,198,202,232,271,342,347,420],[1,5,6,8,10,11,23,24,27,44,67,75,76,77,
80,95,102,141,142,157,160,189,195,202,232,271,337,347,421],[1,2,6,8,9,10,21,
35,36,37,39,71,73,74,75,77,78,79,80,124,129,146,149,151,159,161,165,189,192,
197,200,214,223,235,272,289,291,293,340,390,422],[1,2,4,6,7,8,9,10,11,16,26,
29,30,31,33,35,36,37,38,39,40,41,42,45,68,69,70,73,74,75,76,77,78,79,81,88,92,
101,124,128,129,130,132,135,136,137,143,144,145,146,149,151,152,155,156,158,
161,163,164,166,190,192,193,195,199,201,216,219,220,221,225,227,248,263,264,
265,266,267,269,273,274,277,284,286,287,290,291,294,296,339,348,349,353,356,
363,383,389,395,423],[1,3,6,8,9,10,12,25,28,32,34,71,73,74,75,77,78,79,80,85,
108,125,126,127,131,133,147,189,192,197,200,246,256,281,285,292,297,340,352,
365,393,424],[1,3,4,6,8,9,10,15,25,26,28,29,30,32,33,34,40,45,71,73,74,75,77,
78,79,80,96,104,105,125,126,127,130,131,133,134,135,136,137,138,143,145,147,
148,152,158,162,189,192,197,200,222,226,228,229,270,274,275,279,281,284,285,
288,292,297,340,345,350,369,387,393,425],[1,2,4,8,9,10,11,16,26,29,30,31,33,
36,37,39,40,41,42,45,71,72,74,75,76,81,88,92,101,124,134,135,137,145,146,148,
153,156,158,159,162,164,166,195,197,198,211,220,227,245,248,265,266,270,275,
278,293,296,338,362,363,384,385,391,426],[1,3,4,6,8,9,10,18,25,26,28,29,30,32,
33,34,40,45,71,73,74,75,77,78,79,80,89,94,109,125,126,127,130,131,133,134,135,
136,137,138,143,145,147,148,152,158,162,189,192,197,200,224,236,241,242,270,
274,275,279,281,284,285,288,292,297,340,351,357,366,387,393,427],[1,5,6,8,9,
10,23,24,27,43,44,71,73,74,75,77,78,79,80,84,102,139,140,141,142,150,154,157,
160,189,192,197,200,210,232,271,276,280,283,340,347,371,394,428],[1,3,5,6,8,9,
10,17,24,25,27,28,32,34,43,44,71,73,74,75,77,78,79,80,82,86,91,125,126,127,
131,133,139,140,141,142,147,150,154,157,160,189,192,197,200,237,249,254,255,
271,276,280,281,283,285,292,297,340,354,367,370,393,394,429],[1,2,4,6,8,9,10,
16,26,29,30,33,35,36,37,39,40,45,71,73,74,75,77,78,79,80,81,88,101,124,129,
130,134,135,136,137,138,143,145,146,148,149,151,152,158,159,161,162,165,189,
192,197,200,211,216,220,221,225,234,245,248,270,272,274,275,279,284,288,289,
291,293,340,348,361,362,387,390,430],[1,2,5,6,8,9,10,13,24,27,35,36,37,39,43,
44,71,73,74,75,77,78,79,80,87,98,124,129,139,140,141,142,146,149,150,151,154,
157,159,160,161,165,189,192,197,200,217,244,247,250,252,257,271,272,276,280,
283,289,291,293,340,346,360,390,394,431],[1,2,6,8,9,10,22,35,36,37,39,71,73,
74,75,77,78,79,80,124,129,146,149,151,159,161,165,189,192,197,200,230,238,253,
272,289,291,293,340,390,432],[1,3,8,9,10,11,14,25,32,34,71,72,74,75,76,97,100,
125,131,147,195,197,198,251,292,338,364,433],[1,2,4,7,10,11,16,22,26,29,31,36,
38,41,42,47,49,56,69,73,76,92,101,110,129,130,156,163,164,166,184,190,216,227,
230,259,264,267,273,315,325,327,349,380,398,434],[1,2,3,4,5,6,8,9,10,12,13,15,
16,17,18,19,20,24,25,26,27,28,29,30,32,33,34,35,36,37,39,40,43,44,45,50,52,58,
60,64,71,74,77,79,80,81,82,86,87,88,89,90,91,93,94,96,98,101,104,105,107,108,
109,114,126,127,131,133,134,135,138,139,140,143,145,146,147,148,149,150,151,
152,154,157,159,160,165,176,177,179,181,183,185,187,188,200,212,215,217,218,
222,224,225,226,229,233,234,236,237,242,245,247,248,249,250,252,254,255,256,
262,272,276,279,283,285,288,297,300,301,310,316,317,333,334,350,352,354,355,
357,359,360,361,366,367,370,375,399,402,404,405,406,408,409,435],[1,2,3,4,8,9,
10,12,14,15,16,18,19,20,25,26,28,29,30,32,33,34,36,37,39,40,45,48,58,59,60,62,
71,74,75,81,85,88,89,90,94,96,99,100,101,104,105,106,107,109,112,124,125,126,
127,131,134,135,137,145,146,147,148,158,159,162,167,168,171,173,180,183,186,
187,197,211,212,213,215,220,222,226,228,233,236,241,242,243,245,248,251,256,
258,270,275,281,292,293,302,309,312,317,331,333,344,345,351,358,362,364,365,
368,369,374,397,400,401,407,410,411,413,436],[1,2,4,7,10,11,16,21,26,29,31,36,
38,41,42,46,61,66,69,76,78,92,101,123,136,156,161,163,164,166,170,201,214,221,
227,260,263,286,287,306,323,324,356,378,403,437],[1,4,6,7,8,9,10,11,26,29,30,
33,40,42,45,67,68,69,70,71,72,73,74,75,76,77,78,79,80,130,134,135,136,137,138,
143,144,145,148,152,153,156,158,162,189,190,191,192,193,194,195,196,197,198,
199,200,201,202,265,267,268,270,274,275,278,279,282,284,287,288,294,295,336,
337,338,339,340,341,342,383,384,387,388,414,438],[1,2,6,7,8,9,10,11,31,35,36,
37,39,67,68,69,70,71,72,73,74,75,76,77,78,79,80,124,129,132,146,149,151,155,
159,161,165,166,189,190,191,192,193,194,195,196,197,198,199,200,201,202,272,
273,286,289,290,291,293,296,336,337,338,339,340,341,342,386,390,391,395,414,
439],[1,4,6,7,8,9,10,11,26,29,30,33,38,40,41,45,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,128,130,134,135,136,137,138,143,145,148,152,158,162,163,164,189,
190,191,192,193,194,195,196,197,198,199,200,201,202,263,264,266,269,270,274,
275,277,279,284,288,336,337,338,339,340,341,342,385,387,389,392,414,440],[1,2,
5,6,8,9,10,13,22,24,27,35,36,37,39,43,44,54,71,73,74,75,77,78,79,80,87,98,124,
129,139,140,141,142,146,149,150,151,154,157,159,160,161,165,189,192,197,200,
217,230,238,244,247,250,252,253,257,271,272,276,280,283,289,291,293,322,340,
346,360,390,394,431,432,441],[1,2,3,6,8,9,10,19,21,22,25,28,32,34,35,36,37,39,
51,71,73,74,75,77,78,79,80,90,107,124,125,126,127,129,131,133,146,147,149,151,
159,161,165,189,192,197,200,212,213,214,215,218,223,230,235,238,253,272,281,
285,289,291,292,293,297,308,340,359,368,390,393,418,422,432,442],[1,3,4,7,8,9,
10,12,14,15,25,26,32,33,34,38,40,45,48,67,69,71,74,75,85,96,100,103,105,125,
131,134,145,147,158,162,163,180,182,193,197,202,226,228,251,256,270,277,292,
312,336,345,364,365,392,411,417,443],[1,2,3,5,6,8,9,10,13,19,21,24,25,27,28,
32,34,35,36,37,39,43,44,65,71,73,74,75,77,78,79,80,87,90,98,107,124,125,126,
127,129,131,133,139,140,141,142,146,147,149,150,151,154,157,159,160,161,165,
189,192,197,200,212,213,214,215,217,218,223,235,244,247,250,252,257,271,272,
276,280,281,283,285,289,291,292,293,297,303,320,340,346,359,360,368,390,393,
394,418,422,431,444],[1,2,5,6,8,10,11,13,23,24,27,31,35,36,39,43,44,53,67,75,
76,77,80,84,87,95,98,102,124,140,141,142,149,154,157,160,165,166,174,175,189,
195,202,210,232,244,250,252,257,271,280,289,296,314,337,346,347,371,386,412,
421,445],[1,2,6,8,9,10,22,35,36,37,39,47,71,73,74,75,77,78,79,80,124,129,146,
149,151,159,161,165,189,192,197,200,230,238,253,272,289,291,293,315,340,390,
432,446],[1,2,6,8,9,10,22,35,36,37,39,56,71,73,74,75,77,78,79,80,124,129,146,
149,151,159,161,165,189,192,197,200,230,238,253,272,289,291,293,327,340,390,
432,447],[1,2,6,8,9,10,21,35,36,37,39,66,71,73,74,75,77,78,79,80,124,129,146,
149,151,159,161,165,189,192,197,200,214,223,235,272,289,291,293,324,340,390,
422,448],[1,2,3,6,8,9,10,12,19,20,25,28,32,34,35,36,37,39,60,71,73,74,75,77,
78,79,80,85,90,93,99,107,108,124,125,126,127,129,131,133,146,147,149,151,159,
161,165,171,177,189,192,197,200,212,213,215,218,233,240,246,256,272,281,285,
289,291,292,293,297,333,335,340,352,355,358,359,365,368,390,393,406,413,416,
418,424,449],[1,2,6,8,9,10,21,35,36,37,39,46,71,73,74,75,77,78,79,80,124,129,
146,149,151,159,161,165,189,192,197,200,214,223,235,272,289,291,293,306,340,
390,422,450],[1,2,5,6,8,9,10,13,21,24,27,35,36,37,39,43,44,55,71,73,74,75,77,
78,79,80,87,98,124,129,139,140,141,142,146,149,150,151,154,157,159,160,161,
165,189,192,197,200,214,217,223,235,244,247,250,252,257,271,272,276,280,283,
289,291,293,318,340,346,360,390,394,422,431,451],[1,3,4,8,9,10,11,12,14,15,25,
26,32,33,34,40,41,45,48,71,72,74,75,76,85,96,97,100,105,125,131,134,145,147,
158,162,164,178,180,195,197,198,226,228,251,256,266,270,292,312,338,345,364,
365,385,411,433,452],[1,2,3,4,6,8,9,10,15,16,18,19,25,26,28,29,30,32,33,34,35,
36,37,39,40,45,58,71,73,74,75,77,78,79,80,81,88,89,90,94,96,101,104,105,107,
109,124,125,126,127,129,130,131,133,134,135,136,137,138,143,145,146,147,148,
149,151,152,158,159,161,162,165,183,187,189,192,197,200,211,212,213,215,216,
218,220,221,222,224,225,226,228,229,234,236,241,242,245,248,270,272,274,275,
279,281,284,285,288,289,291,292,293,297,316,317,331,340,345,348,350,351,357,
359,361,362,366,368,369,387,390,393,397,402,418,425,427,430,453],[1,3,4,5,6,8,
9,10,17,18,20,24,25,26,27,28,29,30,32,33,34,40,43,44,45,64,71,73,74,75,77,78,
79,80,82,86,89,91,93,94,99,109,125,126,127,130,131,133,134,135,136,137,138,
139,140,141,142,143,145,147,148,150,152,154,157,158,160,162,185,188,189,192,
197,200,224,233,236,237,240,241,242,249,254,255,270,271,274,275,276,279,280,
281,283,284,285,288,292,297,310,321,340,351,354,355,357,358,366,367,370,387,
393,394,399,404,416,427,429,454],[1,2,3,5,6,8,9,10,13,17,19,24,25,27,28,32,34,
35,36,37,39,43,44,52,71,73,74,75,77,78,79,80,82,86,87,90,91,98,107,124,125,
126,127,129,131,133,139,140,141,142,146,147,149,150,151,154,157,159,160,161,
165,181,189,192,197,200,212,213,215,217,218,237,244,247,249,250,252,254,255,
257,271,272,276,280,281,283,285,289,291,292,293,297,300,334,340,346,354,359,
360,367,368,370,390,393,394,409,418,429,431,455],[1,2,3,6,8,9,10,14,19,25,28,
32,34,35,36,37,39,59,71,73,74,75,77,78,79,80,90,100,106,107,124,125,126,127,
129,131,133,146,147,149,151,159,161,165,168,189,192,197,200,212,213,215,218,
243,251,272,281,285,289,291,292,293,297,309,340,344,359,364,368,390,393,410,
418,419,456],[1,2,3,5,6,8,9,10,13,19,22,24,25,27,28,32,34,35,36,37,39,43,44,
63,71,73,74,75,77,78,79,80,87,90,98,107,124,125,126,127,129,131,133,139,140,
141,142,146,147,149,150,151,154,157,159,160,161,165,189,192,197,200,212,213,
215,217,218,230,238,244,247,250,252,253,257,271,272,276,280,281,283,285,289,
291,292,293,297,304,305,340,346,359,360,368,390,393,394,418,431,432,457],[1,3,
4,6,8,9,10,14,15,20,25,26,28,29,30,32,33,34,40,45,62,71,73,74,75,77,78,79,80,
93,96,99,100,104,105,106,125,126,127,130,131,133,134,135,136,137,138,143,145,
147,148,152,158,162,167,173,189,192,197,200,222,226,228,229,233,240,243,251,
270,274,275,279,281,284,285,288,292,297,299,302,340,344,345,350,355,358,364,
369,387,393,401,407,416,419,425,458],[1,2,5,6,8,9,10,13,21,22,24,27,35,36,37,
39,43,44,57,71,73,74,75,77,78,79,80,87,98,124,129,139,140,141,142,146,149,150,
151,154,157,159,160,161,165,189,192,197,200,214,217,223,230,235,238,244,247,
250,252,253,257,271,272,276,280,283,289,291,293,326,340,346,360,390,394,422,
431,432,459],[1,3,4,6,8,9,10,12,14,15,25,26,28,29,30,32,33,34,40,45,48,71,73,
74,75,77,78,79,80,85,96,100,104,105,106,108,125,126,127,130,131,133,134,135,
136,137,138,143,145,147,148,152,158,162,180,186,189,192,197,200,222,226,228,
229,243,246,251,256,270,274,275,279,281,284,285,288,292,297,312,328,340,344,
345,350,352,364,365,369,387,393,400,411,419,424,425,460],[1,2,5,6,8,9,10,13,
23,24,27,35,36,37,39,43,44,53,71,73,74,75,77,78,79,80,84,87,98,102,124,129,
139,140,141,142,146,149,150,151,154,157,159,160,161,165,174,189,192,197,200,
210,217,232,244,247,250,252,257,271,272,276,280,283,289,291,293,314,340,346,
347,360,371,390,394,412,428,431,461],[1,2,3,8,9,10,11,14,19,25,28,31,32,34,36,
37,39,59,71,72,74,75,76,90,97,100,106,107,124,125,126,127,131,146,147,159,166,
168,169,195,197,198,212,213,215,243,251,281,292,293,296,309,338,344,364,368,
391,410,433,462],[1,2,4,6,8,9,10,16,21,26,29,30,33,35,36,37,39,40,45,61,71,73,
74,75,77,78,79,80,81,88,101,124,129,130,134,135,136,137,138,143,145,146,148,
149,151,152,158,159,161,162,165,189,192,197,200,211,214,216,220,221,223,225,
234,235,245,248,270,272,274,275,279,284,288,289,291,293,323,330,340,348,361,
362,387,390,422,430,463],[1,2,4,6,8,9,10,16,22,26,29,30,33,35,36,37,39,40,45,
49,71,73,74,75,77,78,79,80,81,88,101,124,129,130,134,135,136,137,138,143,145,
146,148,149,151,152,158,159,161,162,165,189,192,197,200,211,216,220,221,225,
230,234,238,245,248,253,270,272,274,275,279,284,288,289,291,293,313,325,340,
348,361,362,387,390,430,432,464],[1,3,4,5,6,8,9,10,12,17,18,24,25,26,27,28,29,
30,32,33,34,40,43,44,45,50,71,73,74,75,77,78,79,80,82,85,86,89,91,94,108,109,
125,126,127,130,131,133,134,135,136,137,138,139,140,141,142,143,145,147,148,
150,152,154,157,158,160,162,176,179,189,192,197,200,224,236,237,241,242,246,
249,254,255,256,270,271,274,275,276,279,280,281,283,284,285,288,292,297,301,
307,340,351,352,354,357,365,366,367,370,387,393,394,405,408,424,427,429,465],[
1,3,4,8,9,10,11,14,15,20,25,29,30,32,33,34,42,45,62,71,72,74,75,76,97,99,100,
104,105,125,131,135,137,147,148,153,156,162,172,173,195,197,198,222,228,233,
251,265,275,278,292,302,338,358,364,369,384,407,433,466],[1,3,6,7,8,9,10,11,
14,25,28,32,34,67,68,69,70,71,72,73,74,75,76,77,78,79,80,97,100,103,106,125,
126,127,131,133,147,189,190,191,192,193,194,195,196,197,198,199,200,201,202,
239,243,251,281,285,292,297,336,337,338,339,340,341,342,344,364,393,414,417,
419,433,467],[1,5,6,7,8,9,10,11,23,24,27,43,44,67,68,69,70,71,72,73,74,75,76,
77,78,79,80,83,84,95,102,139,140,141,142,150,154,157,160,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,210,231,232,271,276,280,283,336,337,338,
339,340,341,342,347,371,394,414,420,421,428,468],[1,2,4,6,7,8,9,10,11,16,26,
29,30,31,33,35,36,37,38,39,40,41,42,45,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,81,88,92,101,124,128,129,130,132,134,135,136,137,138,143,144,145,146,148,
149,151,152,153,155,156,158,159,161,162,163,164,165,166,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,211,216,219,220,221,225,227,234,245,248,
263,264,265,266,267,268,269,270,272,273,274,275,277,278,279,282,284,286,287,
288,289,290,291,293,294,295,296,336,337,338,339,340,341,342,348,349,353,356,
361,362,363,383,384,385,386,387,388,389,390,391,392,395,414,423,426,430,438,
439,440,469],[1,2,4,5,6,8,9,10,13,16,21,24,26,27,29,30,33,35,36,37,39,40,43,
44,45,46,55,61,71,73,74,75,77,78,79,80,81,87,88,98,101,111,124,129,130,134,
135,136,137,138,139,140,141,142,143,145,146,148,149,150,151,152,154,157,158,
159,160,161,162,165,189,192,197,200,211,214,216,217,220,221,223,225,234,235,
244,245,247,248,250,252,257,270,271,272,274,275,276,279,280,283,284,288,289,
291,293,306,318,323,330,340,346,348,360,361,362,387,390,394,422,430,431,450,
451,463,470],[1,2,3,6,8,9,10,12,19,20,21,22,25,28,32,34,35,36,37,39,51,60,71,
73,74,75,77,78,79,80,85,90,93,99,107,108,116,124,125,126,127,129,131,133,146,
147,149,151,159,161,165,171,177,189,192,197,200,212,213,214,215,218,223,230,
233,235,238,240,246,253,256,272,281,285,289,291,292,293,297,308,333,335,340,
352,355,358,359,365,368,381,390,393,406,413,416,418,422,424,432,442,449,471],[
1,2,3,5,6,8,9,10,13,17,19,21,22,23,24,25,27,28,32,34,35,36,37,39,43,44,52,53,
54,55,57,63,65,71,73,74,75,77,78,79,80,82,84,86,87,90,91,98,102,107,119,124,
125,126,127,129,131,133,139,140,141,142,146,147,149,150,151,154,157,159,160,
161,165,174,181,189,192,197,200,210,212,213,214,215,217,218,223,230,232,235,
237,238,244,247,249,250,252,253,254,255,257,271,272,276,280,281,283,285,289,
291,292,293,297,300,303,304,305,314,318,320,322,326,334,340,346,347,354,359,
360,367,368,370,371,379,390,393,394,409,412,418,422,428,429,431,432,441,444,
451,455,457,459,461,472],[1,2,3,4,6,8,9,10,12,14,15,16,18,19,20,25,26,28,29,
30,32,33,34,35,36,37,39,40,45,48,58,59,60,62,71,73,74,75,77,78,79,80,81,85,88,
89,90,93,94,96,99,100,101,104,105,106,107,108,109,112,124,125,126,127,129,130,
131,133,134,135,136,137,138,143,145,146,147,148,149,151,152,158,159,161,162,
165,167,168,171,173,177,180,183,186,187,189,192,197,200,211,212,213,215,216,
218,220,221,222,224,225,226,228,229,233,234,236,240,241,242,243,245,246,248,
251,256,258,270,272,274,275,279,281,284,285,288,289,291,292,293,297,299,302,
309,312,316,317,328,331,333,335,340,344,345,348,350,351,352,355,357,358,359,
361,362,364,365,366,368,369,374,382,387,390,393,397,400,401,402,406,407,410,
411,413,416,418,419,424,425,427,430,436,449,453,456,458,460,473],[1,2,4,6,8,9,
10,16,22,26,29,30,33,35,36,37,39,40,45,47,49,56,71,73,74,75,77,78,79,80,81,88,
101,110,124,129,130,134,135,136,137,138,143,145,146,148,149,151,152,158,159,
161,162,165,189,192,197,200,211,216,220,221,225,230,234,238,245,248,253,270,
272,274,275,279,284,288,289,291,293,313,315,325,327,340,348,361,362,380,387,
390,430,432,446,447,464,474],[1,2,3,4,6,8,9,10,15,16,18,19,21,22,25,26,28,29,
30,32,33,34,35,36,37,39,40,45,49,51,58,61,71,73,74,75,77,78,79,80,81,88,89,90,
94,96,101,104,105,107,109,122,124,125,126,127,129,130,131,133,134,135,136,137,
138,143,145,146,147,148,149,151,152,158,159,161,162,165,183,187,189,192,197,
200,211,212,213,214,215,216,218,220,221,222,223,224,225,226,228,229,230,234,
235,236,238,241,242,245,248,253,270,272,274,275,279,281,284,285,288,289,291,
292,293,297,308,313,316,317,323,325,330,331,340,345,348,350,351,357,359,361,
362,366,368,369,372,387,390,393,397,402,418,422,425,427,430,432,442,453,463,
464,475],[1,2,3,4,8,9,10,11,12,14,15,16,18,19,20,25,26,28,29,30,31,32,33,34,
36,37,39,40,41,42,45,48,58,59,60,62,71,72,74,75,76,81,85,88,89,90,92,94,96,97,
99,100,101,104,105,106,107,109,112,124,125,126,127,131,134,135,137,145,146,
147,148,153,156,158,159,162,164,166,167,168,169,171,172,173,178,180,183,186,
187,195,197,198,211,212,213,215,220,222,226,227,228,233,236,241,242,243,245,
248,251,256,258,261,265,266,270,275,278,281,292,293,296,302,309,312,317,331,
333,338,344,345,351,358,362,363,364,365,368,369,374,384,385,391,397,400,401,
407,410,411,413,426,433,436,452,462,466,476],[1,2,3,5,6,8,9,10,13,19,21,22,24,
25,27,28,32,34,35,36,37,39,43,44,47,51,54,57,63,71,73,74,75,77,78,79,80,87,90,
98,107,117,124,125,126,127,129,131,133,139,140,141,142,146,147,149,150,151,
154,157,159,160,161,165,189,192,197,200,212,213,214,215,217,218,223,230,235,
238,244,247,250,252,253,257,271,272,276,280,281,283,285,289,291,292,293,297,
304,305,308,315,322,326,340,346,359,360,368,390,393,394,418,422,431,432,441,
442,446,457,459,477],[1,2,4,5,6,8,9,10,13,16,22,24,26,27,29,30,33,35,36,37,39,
40,43,44,45,49,54,56,71,73,74,75,77,78,79,80,81,87,88,98,101,121,124,129,130,
134,135,136,137,138,139,140,141,142,143,145,146,148,149,150,151,152,154,157,
158,159,160,161,162,165,189,192,197,200,211,216,217,220,221,225,230,234,238,
244,245,247,248,250,252,253,257,270,271,272,274,275,276,279,280,283,284,288,
289,291,293,313,322,325,327,340,346,348,360,361,362,387,390,394,430,431,432,
441,447,464,478],[1,2,3,5,6,8,9,10,13,14,17,19,21,22,24,25,27,28,32,34,35,36,
37,39,43,44,51,52,59,63,65,71,73,74,75,77,78,79,80,82,86,87,90,91,98,100,106,
107,118,124,125,126,127,129,131,133,139,140,141,142,146,147,149,150,151,154,
157,159,160,161,165,168,181,189,192,197,200,212,213,214,215,217,218,223,230,
235,237,238,243,244,247,249,250,251,252,253,254,255,257,271,272,276,280,281,
283,285,289,291,292,293,297,300,303,304,305,308,309,320,334,340,344,346,354,
359,360,364,367,368,370,373,390,393,394,409,410,418,419,422,429,431,432,442,
444,455,456,457,479],[1,2,3,5,6,8,9,10,13,19,21,22,24,25,27,28,32,34,35,36,37,
39,43,44,51,55,57,65,66,71,73,74,75,77,78,79,80,87,90,98,107,120,124,125,126,
127,129,131,133,139,140,141,142,146,147,149,150,151,154,157,159,160,161,165,
189,192,197,200,212,213,214,215,217,218,223,230,235,238,244,247,250,252,253,
257,271,272,276,280,281,283,285,289,291,292,293,297,303,308,318,320,324,326,
340,346,359,360,368,390,393,394,418,422,431,432,442,444,448,451,459,480],[1,2,
4,6,8,9,10,16,21,26,29,30,33,35,36,37,39,40,45,46,61,66,71,73,74,75,77,78,79,
80,81,88,101,123,124,129,130,134,135,136,137,138,143,145,146,148,149,151,152,
158,159,161,162,165,189,192,197,200,211,214,216,220,221,223,225,234,235,245,
248,270,272,274,275,279,284,288,289,291,293,306,323,324,330,340,348,361,362,
378,387,390,422,430,448,450,463,481],[1,2,3,6,8,9,10,19,21,22,25,28,32,34,35,
36,37,39,46,51,71,73,74,75,77,78,79,80,90,107,113,124,125,126,127,129,131,133,
146,147,149,151,159,161,165,189,192,197,200,212,213,214,215,218,223,230,235,
238,253,272,281,285,289,291,292,293,297,306,308,340,359,368,390,393,418,422,
432,442,450,482],[1,2,3,4,5,6,8,9,10,12,13,15,16,17,18,19,20,24,25,26,27,28,
29,30,32,33,34,35,36,37,39,40,43,44,45,50,52,58,60,64,71,73,74,75,77,78,79,80,
81,82,85,86,87,88,89,90,91,93,94,96,98,99,101,104,105,107,108,109,114,124,125,
126,127,129,130,131,133,134,135,136,137,138,139,140,141,142,143,145,146,147,
148,149,150,151,152,154,157,158,159,160,161,162,165,171,176,177,179,181,183,
185,187,188,189,192,197,200,211,212,213,215,216,217,218,220,221,222,224,225,
226,228,229,233,234,236,237,240,241,242,244,245,246,247,248,249,250,252,254,
255,256,257,262,270,271,272,274,275,276,279,280,281,283,284,285,288,289,291,
292,293,297,300,301,307,310,316,317,321,331,333,334,335,340,345,346,348,350,
351,352,354,355,357,358,359,360,361,362,365,366,367,368,369,370,375,377,387,
390,393,394,397,399,402,404,405,406,408,409,413,416,418,424,425,427,429,430,
431,435,449,453,454,455,465,483],[1,2,3,6,8,9,10,19,21,22,25,28,32,34,35,36,
37,39,51,56,71,73,74,75,77,78,79,80,90,107,115,124,125,126,127,129,131,133,
146,147,149,151,159,161,165,189,192,197,200,212,213,214,215,218,223,230,235,
238,253,272,281,285,289,291,292,293,297,308,327,340,359,368,390,393,418,422,
432,442,447,484],[1,2,3,6,7,8,9,10,11,14,19,25,28,31,32,34,35,36,37,39,59,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,90,97,100,103,106,107,124,125,126,127,
129,131,132,133,146,147,149,151,155,159,161,165,166,168,169,189,190,191,192,
193,194,195,196,197,198,199,200,201,202,212,213,215,218,239,243,251,272,273,
281,285,286,289,290,291,292,293,296,297,309,332,336,337,338,339,340,341,342,
344,359,364,368,386,390,391,393,395,410,414,417,418,419,433,439,456,462,467,
485],[1,2,6,7,8,9,10,11,21,31,35,36,37,39,66,67,68,69,70,71,72,73,74,75,76,77,
78,79,80,124,129,132,146,149,151,155,159,161,165,166,170,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,214,223,235,272,273,286,289,290,291,293,
296,324,336,337,338,339,340,341,342,386,390,391,395,403,414,422,439,448,486],[
1,3,4,6,7,8,9,10,11,14,15,20,25,26,28,29,30,32,33,34,40,42,45,62,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,93,96,97,99,100,103,104,105,106,125,126,127,130,
131,133,134,135,136,137,138,143,144,145,147,148,152,153,156,158,162,167,172,
173,189,190,191,192,193,194,195,196,197,198,199,200,201,202,222,226,228,229,
233,239,240,243,251,265,267,268,270,274,275,278,279,281,282,284,285,287,288,
292,294,295,297,299,302,319,336,337,338,339,340,341,342,344,345,350,355,358,
364,369,383,384,387,388,393,401,407,414,416,417,419,425,433,438,458,466,467,
487],[1,2,5,6,7,8,9,10,11,13,23,24,27,31,35,36,37,39,43,44,53,67,68,69,70,71,
72,73,74,75,76,77,78,79,80,83,84,87,95,98,102,124,129,132,139,140,141,142,146,
149,150,151,154,155,157,159,160,161,165,166,174,175,189,190,191,192,193,194,
195,196,197,198,199,200,201,202,210,217,231,232,244,247,250,252,257,271,272,
273,276,280,283,286,289,290,291,293,296,314,329,336,337,338,339,340,341,342,
346,347,360,371,386,390,391,394,395,412,414,420,421,428,431,439,445,461,468,
488],[1,3,4,6,7,8,9,10,11,12,14,15,25,26,28,29,30,32,33,34,38,40,41,45,48,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,85,96,97,100,103,104,105,106,108,125,
126,127,128,130,131,133,134,135,136,137,138,143,145,147,148,152,158,162,163,
164,178,180,182,186,189,190,191,192,193,194,195,196,197,198,199,200,201,202,
222,226,228,229,239,243,246,251,256,263,264,266,269,270,274,275,277,279,281,
284,285,288,292,297,311,312,328,336,337,338,339,340,341,342,344,345,350,352,
364,365,369,385,387,389,392,393,400,411,414,417,419,424,425,433,440,443,452,
460,467,489],[1,2,6,7,8,9,10,11,22,31,35,36,37,39,47,67,68,69,70,71,72,73,74,
75,76,77,78,79,80,124,129,132,146,149,151,155,159,161,165,166,184,189,190,191,
192,193,194,195,196,197,198,199,200,201,202,230,238,253,272,273,286,289,290,
291,293,296,315,336,337,338,339,340,341,342,386,390,391,395,398,414,432,439,
446,490],[1,2,3,4,5,6,8,9,10,12,13,14,15,16,17,18,19,20,21,22,24,25,26,27,28,
29,30,32,33,34,35,36,37,39,40,43,44,45,48,49,50,51,52,58,59,60,61,62,63,64,65,
71,73,74,75,77,78,79,80,81,82,85,86,87,88,89,90,91,93,94,96,98,99,100,101,104,
105,106,107,108,109,112,114,116,118,122,124,125,126,127,129,130,131,133,134,
135,136,137,138,139,140,141,142,143,145,146,147,148,149,150,151,152,154,157,
158,159,160,161,162,165,167,168,171,173,176,177,179,180,181,183,185,186,187,
188,189,192,197,200,209,211,212,213,214,215,216,217,218,220,221,222,223,224,
225,226,228,229,230,233,234,235,236,237,238,240,241,242,243,244,245,246,247,
248,249,250,251,252,253,254,255,256,257,258,262,270,271,272,274,275,276,279,
280,281,283,284,285,288,289,291,292,293,297,299,300,301,302,303,304,305,307,
308,309,310,312,313,316,317,320,321,323,325,328,330,331,333,334,335,340,344,
345,346,348,350,351,352,354,355,357,358,359,360,361,362,364,365,366,367,368,
369,370,372,373,374,375,377,381,382,387,390,393,394,397,399,400,401,402,404,
405,406,407,408,409,410,411,413,415,416,418,419,422,424,425,427,429,430,431,
432,435,436,442,444,449,453,454,455,456,457,458,460,463,464,465,471,473,475,
479,483,491],[1,2,3,5,6,8,9,10,12,13,19,20,21,22,24,25,27,28,32,34,35,36,37,
39,43,44,51,55,56,57,60,65,66,71,73,74,75,77,78,79,80,85,87,90,93,98,99,107,
108,115,116,120,124,125,126,127,129,131,133,139,140,141,142,146,147,149,150,
151,154,157,159,160,161,165,171,177,189,192,197,200,207,212,213,214,215,217,
218,223,230,233,235,238,240,244,246,247,250,252,253,256,257,271,272,276,280,
281,283,285,289,291,292,293,297,303,308,318,320,324,326,327,333,335,340,346,
352,355,358,359,360,365,368,381,390,393,394,406,413,416,418,422,424,431,432,
442,444,447,448,449,451,459,471,480,484,492],[1,2,3,5,6,8,9,10,13,14,17,19,21,
22,23,24,25,27,28,32,34,35,36,37,39,43,44,47,51,52,53,54,55,57,59,63,65,66,71,
73,74,75,77,78,79,80,82,84,86,87,90,91,98,100,102,106,107,117,118,119,120,124,
125,126,127,129,131,133,139,140,141,142,146,147,149,150,151,154,157,159,160,
161,165,168,174,181,189,192,197,200,203,210,212,213,214,215,217,218,223,230,
232,235,237,238,243,244,247,249,250,251,252,253,254,255,257,271,272,276,280,
281,283,285,289,291,292,293,297,300,303,304,305,308,309,314,315,318,320,322,
324,326,334,340,344,346,347,354,359,360,364,367,368,370,371,373,379,390,393,
394,409,410,412,418,419,422,428,429,431,432,441,442,444,446,448,451,455,456,
457,459,461,472,477,479,480,493],[1,2,3,5,6,8,9,10,12,13,19,20,21,22,24,25,27,
28,32,34,35,36,37,39,43,44,46,47,51,54,57,60,63,71,73,74,75,77,78,79,80,85,87,
90,93,98,99,107,108,113,116,117,124,125,126,127,129,131,133,139,140,141,142,
146,147,149,150,151,154,157,159,160,161,165,171,177,189,192,197,200,204,212,
213,214,215,217,218,223,230,233,235,238,240,244,246,247,250,252,253,256,257,
271,272,276,280,281,283,285,289,291,292,293,297,304,305,306,308,315,322,326,
333,335,340,346,352,355,358,359,360,365,368,381,390,393,394,406,413,416,418,
422,424,431,432,441,442,446,449,450,457,459,471,477,482,494],[1,2,3,4,5,6,8,9,
10,13,15,16,18,19,21,22,24,25,26,27,28,29,30,32,33,34,35,36,37,39,40,43,44,45,
46,49,51,55,57,58,61,65,66,71,73,74,75,77,78,79,80,81,87,88,89,90,94,96,98,
101,104,105,107,109,111,113,120,122,123,124,125,126,127,129,130,131,133,134,
135,136,137,138,139,140,141,142,143,145,146,147,148,149,150,151,152,154,157,
158,159,160,161,162,165,183,187,189,192,197,200,206,211,212,213,214,215,216,
217,218,220,221,222,223,224,225,226,228,229,230,234,235,236,238,241,242,244,
245,247,248,250,252,253,257,270,271,272,274,275,276,279,280,281,283,284,285,
288,289,291,292,293,297,303,306,308,313,316,317,318,320,323,324,325,326,330,
331,340,345,346,348,350,351,357,359,360,361,362,366,368,369,372,378,387,390,
393,394,397,402,418,422,425,427,430,431,432,442,444,448,450,451,453,459,463,
464,470,475,480,481,482,495],[1,2,3,4,5,6,8,9,10,13,15,16,18,19,21,22,24,25,
26,27,28,29,30,32,33,34,35,36,37,39,40,43,44,45,47,49,51,54,56,57,58,61,63,71,
73,74,75,77,78,79,80,81,87,88,89,90,94,96,98,101,104,105,107,109,110,115,117,
121,122,124,125,126,127,129,130,131,133,134,135,136,137,138,139,140,141,142,
143,145,146,147,148,149,150,151,152,154,157,158,159,160,161,162,165,183,187,
189,192,197,200,205,211,212,213,214,215,216,217,218,220,221,222,223,224,225,
226,228,229,230,234,235,236,238,241,242,244,245,247,248,250,252,253,257,270,
271,272,274,275,276,279,280,281,283,284,285,288,289,291,292,293,297,304,305,
308,313,315,316,317,322,323,325,326,327,330,331,340,345,346,348,350,351,357,
359,360,361,362,366,368,369,372,380,387,390,393,394,397,402,418,422,425,427,
430,431,432,441,442,446,447,453,457,459,463,464,474,475,477,478,484,496],[1,2,
3,5,6,8,9,10,13,14,17,19,21,22,24,25,27,28,32,34,35,36,37,39,43,44,46,51,52,
56,59,63,65,71,73,74,75,77,78,79,80,82,86,87,90,91,98,100,106,107,113,115,118,
124,125,126,127,129,131,133,139,140,141,142,146,147,149,150,151,154,157,159,
160,161,165,168,181,189,192,197,200,208,212,213,214,215,217,218,223,230,235,
237,238,243,244,247,249,250,251,252,253,254,255,257,271,272,276,280,281,283,
285,289,291,292,293,297,300,303,304,305,306,308,309,320,327,334,340,344,346,
354,359,360,364,367,368,370,373,390,393,394,409,410,418,419,422,429,431,432,
442,444,447,450,455,456,457,479,482,484,497],[1,2,3,4,6,7,8,9,10,11,12,14,15,
16,18,19,20,25,26,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,45,48,58,59,60,
62,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,85,88,89,90,92,93,94,96,97,99,
100,101,103,104,105,106,107,108,109,112,124,125,126,127,128,129,130,131,132,
133,134,135,136,137,138,143,144,145,146,147,148,149,151,152,153,155,156,158,
159,161,162,163,164,165,166,167,168,169,171,172,173,177,178,180,182,183,186,
187,189,190,191,192,193,194,195,196,197,198,199,200,201,202,211,212,213,215,
216,218,219,220,221,222,224,225,226,227,228,229,233,234,236,239,240,241,242,
243,245,246,248,251,256,258,261,263,264,265,266,267,268,269,270,272,273,274,
275,277,278,279,281,282,284,285,286,287,288,289,290,291,292,293,294,295,296,
297,299,302,309,311,312,316,317,319,328,331,332,333,335,336,337,338,339,340,
341,342,344,345,348,349,350,351,352,353,355,356,357,358,359,361,362,363,364,
365,366,368,369,374,376,382,383,384,385,386,387,388,389,390,391,392,393,395,
397,400,401,402,406,407,410,411,413,414,416,417,418,419,423,424,425,426,427,
430,433,436,438,439,440,443,449,452,453,456,458,460,462,466,467,469,473,476,
485,487,489,498],[1,2,4,6,7,8,9,10,11,16,21,26,29,30,31,33,35,36,37,38,39,40,
41,42,45,46,61,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,88,92,101,123,
124,128,129,130,132,134,135,136,137,138,143,144,145,146,148,149,151,152,153,
155,156,158,159,161,162,163,164,165,166,170,189,190,191,192,193,194,195,196,
197,198,199,200,201,202,211,214,216,219,220,221,223,225,227,234,235,245,248,
260,263,264,265,266,267,268,269,270,272,273,274,275,277,278,279,282,284,286,
287,288,289,290,291,293,294,295,296,306,323,324,330,336,337,338,339,340,341,
342,348,349,353,356,361,362,363,378,383,384,385,386,387,388,389,390,391,392,
395,403,414,422,423,426,430,437,438,439,440,448,450,463,469,481,486,499],[1,2,
4,6,7,8,9,10,11,16,22,26,29,30,31,33,35,36,37,38,39,40,41,42,45,47,49,56,67,
68,69,70,71,72,73,74,75,76,77,78,79,80,81,88,92,101,110,124,128,129,130,132,
134,135,136,137,138,143,144,145,146,148,149,151,152,153,155,156,158,159,161,
162,163,164,165,166,184,189,190,191,192,193,194,195,196,197,198,199,200,201,
202,211,216,219,220,221,225,227,230,234,238,245,248,253,259,263,264,265,266,
267,268,269,270,272,273,274,275,277,278,279,282,284,286,287,288,289,290,291,
293,294,295,296,313,315,325,327,336,337,338,339,340,341,342,348,349,353,356,
361,362,363,380,383,384,385,386,387,388,389,390,391,392,395,398,414,423,426,
430,432,434,438,439,440,446,447,464,469,474,490,500],[1,2,3,4,5,6,8,9,10,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,32,33,34,35,36,37,39,40,
43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,71,73,
74,75,77,78,79,80,81,82,84,85,86,87,88,89,90,91,93,94,96,98,99,100,101,102,
104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,
123,124,125,126,127,129,130,131,133,134,135,136,137,138,139,140,141,142,143,
145,146,147,148,149,150,151,152,154,157,158,159,160,161,162,165,167,168,171,
173,174,176,177,179,180,181,183,185,186,187,188,189,192,197,200,203,204,205,
206,207,208,209,210,211,212,213,214,215,216,217,218,220,221,222,223,224,225,
226,228,229,230,232,233,234,235,236,237,238,240,241,242,243,244,245,246,247,
248,249,250,251,252,253,254,255,256,257,258,262,270,271,272,274,275,276,279,
280,281,283,284,285,288,289,291,292,293,297,298,299,300,301,302,303,304,305,
306,307,308,309,310,312,313,314,315,316,317,318,320,321,322,323,324,325,326,
327,328,330,331,333,334,335,340,344,345,346,347,348,350,351,352,354,355,357,
358,359,360,361,362,364,365,366,367,368,369,370,371,372,373,374,375,377,378,
379,380,381,382,387,390,393,394,397,399,400,401,402,404,405,406,407,408,409,
410,411,412,413,415,416,418,419,422,424,425,427,428,429,430,431,432,435,436,
441,442,444,446,447,448,449,450,451,453,454,455,456,457,458,459,460,461,463,
464,465,470,471,472,473,474,475,477,478,479,480,481,482,483,484,491,492,493,
494,495,496,497,501],[1,2,3,5,6,7,8,9,10,11,13,14,17,19,21,22,23,24,25,27,28,
31,32,34,35,36,37,39,43,44,47,51,52,53,54,55,57,59,63,65,66,67,68,69,70,71,72,
73,74,75,76,77,78,79,80,82,83,84,86,87,90,91,95,97,98,100,102,103,106,107,117,
118,119,120,124,125,126,127,129,131,132,133,139,140,141,142,146,147,149,150,
151,154,155,157,159,160,161,165,166,168,169,170,174,175,181,184,189,190,191,
192,193,194,195,196,197,198,199,200,201,202,203,210,212,213,214,215,217,218,
223,230,231,232,235,237,238,239,243,244,247,249,250,251,252,253,254,255,257,
271,272,273,276,280,281,283,285,286,289,290,291,292,293,296,297,300,303,304,
305,308,309,314,315,318,320,322,324,326,329,332,334,336,337,338,339,340,341,
342,343,344,346,347,354,359,360,364,367,368,370,371,373,379,386,390,391,393,
394,395,398,403,409,410,412,414,417,418,419,420,421,422,428,429,431,432,433,
439,441,442,444,445,446,448,451,455,456,457,459,461,462,467,468,472,477,479,
480,485,486,488,490,493,502],[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]],
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,
2,1],[1,3,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,
1],[1,1,1],[1,3,1],[1,1,1,1],[1,1,1,1],[1,1,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,
1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,
1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,
1,1,1],[1,1,1,1],[1,1,3,1],[1,3,2,1,1,1,1],[1,1,4,2,1,1],[1,1,2,2,1,1,1,1],[1,
1,2,1,1,1,1],[1,1,2,4,2,4,1,1],[1,1,6,3,4,1],[1,1,4,2,1,1],[1,1,4,2,1,1],[1,1,
1,1],[1,1,2,1,1,1,1],[1,1,2,4,2,2,2,1,1],[1,1,6,4,3,1],[1,1,2,1,1,1,1],[1,1,4,
2,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[
1,1,3,1],[1,1,1],[1,1,2,1,1],[1,3,1,1],[1,2,1,1,1],[1,2,2,1],[1,1,1],[1,4,1],[
1,1,1,2,1],[1,3,1,1],[1,1,3,1],[1,1,1,2,1],[1,4,1],[1,2,1,1,1],[1,2,2,1],[1,3,
4,1,3,1,1,1,1],[1,1,2,1,1,1,2,1],[1,3,4,1,1],[1,3,1,1,3,1],[1,1,1,3,1,1],[1,3,
4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,3,4,1,3,1,1,1,1],[1,
3,4,1,3,1,1,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,1,1,1],[1,1,1,1,1,1],[1,1,6,1,
3,1,2,1],[1,3,4,1,1],[1,1,2,1,1,1,2,1],[1,3,4,1,1],[1,3,4,1,3,1,1,1,1],[1,1,1,
1,1,1],[1,7,1,3,1,2,1],[1,3,4,1,3,1,1,1,1],[1,7,1,3,1,2,1],[1,3,4,1,1],[1,1,6,
1,3,1,2,1],[1,3,4,1,3,1,1,1,1],[1,3,1,1,3,1],[1,3,4,1,3,1,1,1,1],[1,1,1,3,1,
1],[1,1,2,1,1,1,2,1],[1,1,4,2,3,1,1,1,1],[1,1,4,4,2,2,1,1,1,1,1],[1,1,6,4,1,4,
2,2,2,3,1,2,1,1,1,2,1],[1,1,2,1,1,1,2,1,1],[1,1,2,4,4,1,2,2,2,4,2,1,1,2,1,1,1,
2,1],[1,1,2,1,1,1,1,2,1],[1,1,2,2,1,2,1,1,1,2,1],[1,1,2,4,2,1,1,3,1,1,1,2,2,
1],[1,1,6,4,2,4,4,3,1,1,1,1,1,2,2,1],[1,1,2,8,4,4,1,1,1,4,1,1,1,1,1,1,1,1],[1,
1,2,4,2,1,3,1,1,1,2,2,1,1],[1,1,4,4,2,2,1,1,1,1,1],[1,1,2,8,4,4,4,1,1,1,2,1,2,
2,1],[1,1,4,2,3,1,1,1,1],[1,9,3,1,3,9,1,1],[1,3,2,2,3,1,1,1],[1,1,2,2,2,2,1,
1],[1,3,1,1,2,3,1,1,1],[1,9,2,1,1,3,6,3,1,1],[1,9,4,12,1,1],[1,3,4,3,1,1,1],[
1,9,2,2,6,6,1,1],[1,3,1,2,1,3,1,1,1],[1,3,2,2,3,1,1,1],[1,3,1,1,2,1,3,1,1],[1,
9,1,1,2,6,3,3,1,1],[1,3,4,3,1,1,1],[1,3,3,1,1,3,1,1],[1,3,2,2,1,3,1,1],[1,3,2,
2,3,1,1,1],[1,3,1,1,2,1,3,1,1],[1,3,2,2,3,1,1,1],[1,3,2,2,3,1,1,1],[1,3,2,1,1,
3,1,1,1],[1,3,2,1,1,3,1,1,1],[1,1,1,1,2,2,1,1,1,1],[1,9,1,1,2,6,3,3,1,1],[1,3,
1,1,2,3,1,1,1],[1,3,1,1,2,1,3,1,1],[1,9,1,1,2,3,6,3,1,1],[1,3,2,2,3,1,1,1],[1,
9,2,1,1,6,3,3,1,1],[1,3,2,1,1,1,3,1,1],[1,9,1,3,1,1],[1,1,2,2,2,2,1,1],[1,3,2,
1,1,3,1,1,1],[1,9,1,3,3,9,1,1],[1,9,2,2,6,6,1,1],[1,3,3,1,3,1,1,1],[1,9,2,2,6,
6,1,1],[1,3,1,1,2,3,1,1,1],[1,9,4,12,1,1],[1,3,2,2,1,3,1,1],[1,3,3,1,3,1,1,
1],[1,3,1,3,3,1,1,1],[1,9,2,2,6,6,1,1],[1,3,1,3,3,1,1,1],[1,3,2,1,1,1,1,3,2,1,
1,1,1,1],[1,3,12,1,10,9,3,3,1,3,3,3,1,1],[1,1,6,4,4,3,4,1,1,1],[1,1,4,3,4,1,
1],[1,3,4,1,3,3,1,1,1,1,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,7,6,1,3,3,1,1,2,
2,3,1,1,1,1],[1,3,12,1,9,10,3,3,1,3,1,3,3,1],[1,1,6,4,3,4,4,1,1,1],[1,1,2,6,1,
3,3,1,1,2,2,3,1,1,1,1],[1,3,4,1,3,3,1,1,1,1,3,1,1,1,1],[1,3,6,4,3,1,3,4,3,1,
1],[1,1,6,2,1,3,1,3,1,2,2,3,1,1,1,1],[1,7,2,1,3,3,1,1,2,2,3,1,1,1,1],[1,3,4,8,
1,6,10,3,1,1,1,2,2,3,1,2,2,1,1,1],[1,3,6,4,3,1,3,4,3,1,1],[1,3,4,8,1,6,6,4,3,
1,1,2,1,2,3,2,1,2,1,1,1],[1,1,4,3,4,1,1],[1,1,2,2,1,1,1,1,1,2,2,1,1,1,1,1],[1,
3,6,1,3,1,3,3,2,3,1,1,1,1],[1,3,4,8,1,4,6,6,3,1,2,1,1,2,3,2,2,1,1,1,1],[1,1,6,
6,1,3,3,1,1,2,2,3,1,1,1,1],[1,3,6,4,4,6,3,1],[1,6,4,3,2,1,1,1],[1,4,2,1,1,1],[
1,2,3,1,7,1,3,1,6,1,1,1],[1,9,3,1,3,1,1],[1,4,2,1,1,1],[1,3,1,9,1,3,1],[1,2,1,
1,2,1,1,1],[1,6,3,4,3,6,4,1],[1,3,1,3,1,1],[1,2,6,1,1,3,6,2,3,1,1,1],[1,4,3,2,
4,1,2,4,4,2,1],[1,6,4,3,2,1,1,1],[1,3,1,3,1,1],[1,1,6,12,6,4,12,3,3,3,8,1,3,3,
2,3,3,6,1,6,6,1,3,3,6,3,1],[1,1,2,4,2,2,1,2,1,3,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,
8,4,2,4,4,4,1,1,3,1,2,1,1,2,2,2,2,2,2,1,1,2,1,1],[1,1,2,8,4,2,4,4,4,1,3,1,2,2,
1,1,2,2,2,2,1,2,1,1,1,2,1],[1,1,2,4,2,2,1,2,3,1,1,1,2,2,2,2,1,1,1,1,1],[1,1,6,
4,2,4,4,3,1,1,2,1,1,2,1,2,2,1,1,1,1],[1,1,6,8,4,2,2,4,4,4,4,4,3,2,1,1,4,2,4,1,
1,2,1,2,2,4,2,4,2,2,2,1,1,1,1],[1,7,2,2,3,8,2,2,1,3,1,1,1,1,1],[1,9,6,2,2,9,2,
6,6,6,1,6,1,2,1],[1,9,10,2,2,9,2,2,6,6,6,6,1,6,6,1,1,1,1],[1,9,6,2,2,9,6,2,6,
6,1,6,2,1,1],[1,9,4,9,12,1,1,1],[1,9,6,1,1,2,9,3,3,1,1,6,3,3,1,3,3,1,1,1,1],[
1,9,6,4,9,6,2,12,1,6,1,2,1],[1,9,6,2,2,9,6,6,6,2,1,6,2,1,1],[1,9,6,2,2,9,6,2,
6,6,1,6,2,1,1],[1,3,12,2,1,1,9,3,3,1,6,3,3,1,1,3,3,1,1,1,1],[1,9,6,3,1,9,3,1,
1,3,9,3,1,3,3,1,1,1,1],[1,9,6,4,9,6,2,12,1,6,2,1,1],[1,3,12,1,1,2,9,3,6,4,1,3,
3,1,3,3,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,6,2,2,9,2,6,6,6,1,6,1,2,1],[1,9,6,
2,1,1,9,3,1,1,6,3,3,3,1,3,3,1,1,1,1],[1,3,4,1,1,2,3,3,2,1,1,4,1,1,3,1,1,1,1,
1],[1,3,12,1,3,9,3,3,3,1,1,9,1,3,3,1,1,1,1],[1,9,6,2,2,9,6,2,6,6,1,6,1,2,1],[
1,1,6,2,2,3,2,2,2,6,1,3,1,1,2,1],[1,9,4,9,12,1,1,1],[1,3,1,8,4,1,3,4,2,1,1,
1],[1,15,2,2,9,6,8,6,1,6,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,6,2,2,9,2,6,6,6,
1,6,2,1,1],[1,9,2,2,9,6,6,1,1,1],[1,3,12,1,1,2,9,3,6,3,4,1,3,1,3,3,1,1,1,1],[
1,3,4,2,2,3,2,3,1,5,1,1,3,1,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,3,8,1,4,1,3,4,1,
2,1,1],[1,1,2,2,1,2,2,1,2,2,1,1],[1,1,6,2,2,3,2,2,2,6,1,1,3,1,2,1],[1,3,4,1,1,
2,3,2,3,1,1,1,4,1,1,3,1,1,1,1],[1,7,2,2,3,8,2,2,1,1,3,2,1,1],[1,9,6,2,2,9,6,2,
6,6,1,6,2,1,1],[1,9,6,1,1,2,9,1,1,6,3,3,3,3,1,3,3,1,1,1,1],[1,1,2,2,9,2,2,1,6,
6,1,1],[1,9,6,2,2,9,6,6,6,2,1,6,2,1,1],[1,9,10,1,1,2,9,2,6,3,3,6,3,3,1,1,1,3,
3,6,1,1,1,1],[1,3,12,2,2,9,6,3,1,3,7,1,3,3,1,1,1,1],[1,9,10,2,2,9,2,6,6,6,2,6,
1,6,6,1,1,1,1],[1,15,2,2,9,6,6,8,1,6,2,1,1],[1,9,6,1,1,2,9,3,1,3,6,3,3,1,1,3,
3,1,1,1,1],[1,9,2,2,9,6,6,1,1,1],[1,9,6,2,2,9,6,6,6,2,1,6,1,2,1],[1,1,6,2,2,3,
2,2,6,2,1,3,1,1,2,1],[1,9,2,2,9,6,6,1,1,1],[1,9,6,2,2,9,6,2,6,6,1,6,2,1,1],[1,
3,12,8,1,3,10,4,6,6,9,1,3,2,3,1,2,6,3,3,3,4,1,2,2,3,1,1,3,1,1,3,1,1,1,1,1,1,1,
1],[1,1,12,4,6,3,4,4,4,1,3,3,4,3,1,1],[1,1,12,4,6,3,4,4,4,3,3,1,4,3,1,1],[1,1,
6,12,4,3,4,6,6,6,3,3,4,4,4,6,3,1,3,6,4,1,3,1,1,1,1],[1,3,4,8,8,1,3,6,6,6,10,4,
3,1,1,1,2,1,2,2,2,6,3,3,3,4,2,1,2,2,1,1,1,2,1,1,1,3,1,1,1,1,1,1,1,1],[1,9,6,4,
3,9,3,6,3,2,1,1,3,6,3,1,1],[1,9,6,4,3,9,3,6,3,2,1,1,3,6,3,1,1],[1,9,3,1,9,3,9,
9,1,3,3,1,1,1],[1,9,3,1,9,9,3,9,1,3,3,9,1,1],[1,9,6,4,3,9,3,9,2,1,1,3,1,1,1],[
1,9,4,9,3,2,1,1,3,1,1,1],[1,9,2,6,1,1,3,9,3,6,3,6,2,3,1,1,1,3,6,3,1,1],[1,3,6,
3,4,6,1,3,3,3,6,4,1,3,2,1,1,1],[1,9,3,6,4,9,6,6,4,6,3,3,3,1,6,1,1],[1,27,4,3,
2,4,36,36,18,27,1,2,4,4,2,6,12,12,3,6,1,1],[1,9,6,4,3,9,12,2,1,1,1,3,1,1],[1,
3,2,3,1,7,6,1,3,3,1,3,1,6,1,1,1,1,1,3,1,1,1],[1,9,6,3,4,6,3,3,9,3,6,4,1,6,3,3,
1,1],[1,9,4,3,2,4,6,9,6,1,2,4,4,2,3,6,3,1,1,1],[1,9,9,3,1,9,3,9,3,1,3,9,1,1],[
1,9,3,1,3,9,3,1,3,1,1,1],[1,9,4,3,2,4,6,3,3,9,1,2,4,4,2,3,1,3,6,1,1],[1,3,3,6,
4,6,1,6,4,6,3,2,1,1,3,1,1],[1,3,6,3,4,6,6,1,3,6,4,2,3,2,1,1],[1,9,4,9,3,2,1,1,
3,1,1,1],[1,3,4,3,2,4,6,6,1,1,2,4,4,2,1,1,3,2,1,1],[1,9,2,3,1,7,9,6,3,3,1,3,1,
6,1,1,3,1,3,3,3,1,1],[1,9,4,3,2,4,9,6,6,1,2,4,4,2,6,1,6,1,1],[1,9,6,4,3,9,12,
2,1,1,1,3,1,1],[1,9,6,4,3,9,3,9,2,1,1,3,1,1,1],[1,3,4,3,2,4,6,1,3,3,1,2,4,4,2,
1,2,3,1,1,1],[1,27,3,6,4,27,36,54,4,6,3,12,18,9,1,1],[1,9,2,6,1,1,3,9,6,3,3,6,
2,3,1,1,6,1,3,3,1,1],[1,27,2,3,1,7,18,63,9,27,1,3,1,6,1,1,3,3,9,18,3,3,1,1],[
1,9,6,3,4,9,6,6,3,6,4,6,1,6,1,1],[1,27,6,3,4,36,27,54,3,6,4,12,18,9,1,1],[1,9,
2,6,1,1,3,3,9,9,6,2,3,1,1,9,3,1,1,1],[1,9,2,1,1,3,9,2,1,1,3,1,1,1],[1,9,3,1,9,
9,3,9,1,3,1,3,1,1],[1,3,4,3,2,4,6,6,1,1,2,4,4,2,3,2,2,1,1],[1,1,6,8,12,2,6,4,
4,4,12,4,3,2,3,3,8,2,1,4,2,4,3,3,2,3,3,2,6,2,1,2,2,4,6,4,6,1,2,2,2,1,2,1,1,3,
3,6,3,2,1,2,1,1,1,1,1,1,1,1],[1,7,6,2,2,3,3,1,8,2,2,2,6,3,1,2,3,2,1,1,3,2,1,2,
3,1,1,1,1,1],[1,9,10,12,2,2,18,24,9,2,2,6,6,6,6,12,4,9,1,6,12,12,6,2,6,1,1,4,
1,6,1,2,2,2,1],[1,9,6,6,2,2,9,9,9,2,6,6,6,6,2,9,1,6,6,1,2,2,1,1,1,1],[1,15,6,
2,2,9,9,9,6,6,2,8,6,9,1,6,6,2,1,2,1,1,1,1],[1,9,6,6,2,2,9,9,9,6,2,6,2,6,6,9,1,
6,6,2,2,1,1,1,1,1],[1,9,6,6,2,2,9,9,9,6,2,6,6,6,2,9,1,6,6,2,2,1,1,1,1,1],[1,9,
6,6,2,2,9,9,9,6,2,6,2,6,6,9,1,6,6,2,2,1,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,1,
6,6,2,2,9,3,3,2,2,2,6,2,6,9,1,3,6,1,1,6,3,1,2,2,3,3,1,1,1,1],[1,9,10,2,2,9,9,
9,2,2,6,6,6,6,9,1,6,6,1,1,1,1,1,1,1],[1,9,22,2,2,24,27,14,2,6,10,6,6,9,1,18,
14,6,6,4,1,1,1,6,1,2,2,2,1],[1,9,6,6,2,2,9,9,9,2,6,6,6,6,2,9,1,6,6,1,2,2,1,1,
1,1],[1,3,18,8,1,4,9,1,9,3,6,24,12,9,4,3,1,2,3,1,4,3,6,3,1,1],[1,15,6,2,2,9,9,
9,6,6,2,8,6,9,1,6,6,2,1,2,1,1,1,1],[1,9,12,2,2,18,9,2,2,6,6,6,6,9,1,6,6,2,1,2,
1,1,1,1],[1,9,22,2,2,27,24,14,10,6,6,2,6,9,1,6,6,18,14,2,2,1,1,1,6,2,2,1,1,1,
1],[1,9,4,27,12,9,1,1,3,1],[1,9,10,12,2,2,6,18,18,9,2,2,4,6,6,6,6,12,9,1,12,
12,6,6,2,6,1,1,4,1,6,1,2,2,2,1],[1,9,6,16,1,1,2,12,18,12,9,3,2,3,6,4,1,4,1,6,
3,3,4,4,9,1,6,6,4,3,3,3,6,3,4,3,3,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,1],[1,9,12,
2,2,18,9,6,2,6,6,6,2,9,1,6,6,2,2,1,1,1,1,1],[1,3,6,8,1,4,1,3,3,3,6,4,3,4,3,1,
3,2,1,4,3,1,1,1],[1,9,6,6,2,2,9,9,9,6,2,6,6,6,2,9,1,6,6,2,2,1,1,1,1,1],[1,1,6,
6,2,2,3,3,1,2,2,2,6,2,6,3,1,3,1,2,1,2,3,1,2,2,3,1,1,1,1,1],[1,9,12,2,2,18,9,6,
2,6,6,6,2,9,1,6,6,2,2,1,1,1,1,1],[1,9,12,4,18,9,12,4,12,9,1,12,4,1,1,2,1],[1,
9,4,27,12,9,1,1,3,1],[1,9,12,4,18,9,12,4,12,9,1,12,1,4,2,1,1],[1,9,10,2,2,9,9,
9,2,6,6,6,2,6,9,1,6,6,1,1,1,1,1,1,1],[1,9,4,9,12,9,1,1,1,1],[1,7,6,2,2,9,3,3,
8,2,2,2,6,9,1,6,3,1,1,3,6,2,1,2,3,3,1,1,1,1],[1,3,12,1,8,4,9,10,3,3,12,1,3,4,
2,1,1,3,3,4,1,3,1,1],[1,9,12,2,2,18,9,2,2,6,6,6,6,9,1,6,6,2,1,2,1,1,1,1],[1,9,
10,12,2,2,18,18,6,9,2,2,6,4,6,6,6,12,9,1,12,6,2,12,6,6,1,1,1,4,6,2,1,2,2,1],[
1,3,12,8,1,4,10,9,3,12,3,1,3,4,3,1,3,2,1,4,1,3,1,1],[1,9,10,2,2,9,9,9,2,2,6,6,
6,6,9,1,6,6,1,1,1,1,1,1,1],[1,9,6,16,2,2,18,24,9,2,6,6,2,6,6,8,8,9,1,6,8,12,6,
6,6,2,2,1,1,1,6,1,2,1,2,1,1],[1,9,10,2,2,9,9,1,2,2,6,6,6,6,9,1,6,6,2,2,6,6,1,
1,1,6,6,1,1,1,1],[1,9,6,3,4,6,3,3,6,4,1,1,2,1],[1,3,6,4,9,6,4,3,6,3,1,1,2,1],[
1,6,3,4,9,3,6,6,4,3,1,1,2,1],[1,2,18,3,1,7,9,18,6,9,1,3,1,3,6,1,1,3,1,2,1,3,3,
1],[1,8,12,4,16,6,4,24,16,48,4,16,12,8,16,4,12,1],[1,2,3,1,7,6,3,1,3,1,6,1,1,
3,1,3,3,1,2,1],[1,3,9,6,4,3,3,3,4,6,3,1,1,1,1,1],[1,1,6,12,16,6,4,12,3,3,3,8,
16,1,3,3,2,3,3,6,1,6,6,1,8,4,3,3,6,3,4,4,8,4,1,1],[1,15,6,3,4,9,21,12,6,8,3,6,
4,6,9,10,6,4,1,6,1,6,1,2,1,1],[1,9,6,6,3,4,9,9,12,6,2,6,6,6,3,6,4,9,6,6,1,2,6,
6,4,2,1,6,1,2,1,1],[1,27,12,3,6,4,27,15,7,27,36,54,6,6,4,6,3,18,27,12,2,4,4,
18,3,1,6,9,1,3,3,6,3,1,1,1,1],[1,27,3,6,4,27,27,18,18,4,6,3,27,9,9,3,18,1,9,3,
1],[1,27,12,2,3,1,7,27,15,7,3,3,18,63,9,27,3,3,1,3,1,6,1,1,9,9,27,3,3,4,1,4,1,
3,3,9,18,3,1,3,3,1,3,3,3,3,3,1,1,1,1],[1,9,18,6,4,3,27,18,6,9,12,6,3,9,2,1,1,
9,18,1,6,1,6,3,3,1,3,3,1,1,1,1],[1,3,12,4,3,2,4,9,6,6,6,6,4,1,3,12,3,1,2,4,4,
2,9,3,3,3,2,3,1,4,2,3,2,1,6,1,1,3,3,1,1,1,1],[1,3,12,6,3,4,9,6,6,6,6,3,4,1,3,
12,3,6,4,3,3,9,2,3,2,1,1,6,3,3,2,4,1,1,3,3,1,1,1,1],[1,9,4,3,2,4,27,9,6,6,1,2,
4,4,2,9,6,1,6,1,3,1,1],[1,9,18,2,6,1,1,3,27,9,3,3,9,6,3,3,6,9,3,9,6,2,3,1,1,9,
9,9,1,6,3,9,1,3,3,1,6,3,3,1,3,3,3,1,1,1,1],[1,9,6,4,3,2,4,9,12,9,6,6,12,2,1,2,
4,4,2,9,6,6,1,6,2,2,6,4,1,6,1,2,1,1],[1,9,4,3,2,4,9,9,6,6,1,2,4,4,2,9,6,1,6,1,
1,1,1],[1,9,18,6,4,3,27,18,6,9,12,6,3,9,2,1,1,9,18,6,1,1,6,3,3,1,3,3,1,1,1,
1],[1,9,18,4,3,2,4,27,9,12,6,6,6,6,18,1,2,4,4,2,18,9,6,1,6,6,2,6,12,1,3,6,2,1,
1],[1,9,6,3,4,9,9,6,6,3,6,4,9,6,1,6,1,1,1,1],[1,27,12,4,3,2,4,27,6,15,7,6,36,
36,18,27,1,2,4,4,2,18,27,3,6,1,8,6,2,12,12,3,6,1,3,6,6,1,1,1,1],[1,27,12,4,3,
2,4,27,6,6,36,36,18,27,15,7,1,2,4,4,2,27,18,4,6,6,12,4,12,3,1,3,2,6,1,3,3,3,6,
1,1,1,1],[1,27,12,4,3,2,4,27,6,6,4,3,36,36,18,27,12,3,1,2,4,4,2,9,18,18,3,1,4,
2,3,6,1,12,12,6,3,6,1,6,3,3,3,1,1,1,1],[1,27,12,6,3,4,27,6,6,3,4,36,27,54,3,
12,3,6,4,18,9,18,12,1,1,6,3,18,3,2,9,4,1,3,6,3,3,1,1,1,1],[1,9,18,3,1,9,27,9,
3,9,3,3,9,9,9,9,1,3,9,9,9,1,3,1,3,9,3,1,3,3,1,1,1,1],[1,27,6,3,4,27,27,18,18,
3,6,4,27,18,3,18,1,9,3,1],[1,9,6,3,4,27,9,6,6,3,6,4,9,6,1,6,1,3,1,1],[1,9,6,4,
3,2,4,9,12,9,2,6,6,6,6,1,2,4,4,2,6,9,6,1,6,2,4,6,2,1,1,6,1,2,1],[1,9,18,4,3,2,
4,27,12,9,6,6,18,12,1,2,4,4,2,18,9,6,1,6,6,12,6,2,1,6,3,2,1,1],[1,27,12,6,3,4,
27,15,6,6,7,36,27,54,3,6,4,27,18,12,8,3,2,1,18,6,9,1,3,6,6,1,1,1,1],[1,9,18,6,
3,4,27,9,12,6,6,6,6,18,3,6,4,9,18,6,1,2,12,6,6,6,1,6,3,2,1,1],[1,3,12,4,3,2,4,
9,6,6,6,6,1,15,7,1,2,4,4,2,9,3,3,3,2,4,6,2,4,3,1,2,1,3,1,3,1,1,1,1],[1,15,3,6,
4,9,21,8,12,6,4,6,3,9,6,4,5,5,6,1,6,1,6,1,1,2,1],[1,9,10,24,2,2,24,36,24,9,9,
9,2,2,4,6,4,6,6,6,12,12,18,9,18,18,1,12,12,12,6,2,6,2,12,6,6,9,1,1,4,1,4,6,6,
2,1,2,2,2,2,1,1,2,1,2,1,2,1,1],[1,9,22,12,2,2,18,24,24,27,9,9,14,2,6,10,6,6,
12,4,9,9,9,18,18,1,6,12,12,18,2,14,6,6,9,4,1,1,4,1,6,6,1,2,2,1,1,2,2,2,2,1,2,
1,1,2,1],[1,9,22,12,2,2,9,24,18,18,6,27,9,14,2,6,4,10,6,6,12,18,9,9,9,18,1,12,
18,2,14,12,6,6,6,9,4,1,1,1,4,6,6,2,1,2,2,1,2,2,2,1,2,1,2,1,1,1],[1,9,10,12,12,
2,2,9,18,6,18,24,18,9,9,2,2,4,6,6,6,6,12,12,4,18,9,9,9,18,1,6,12,12,12,12,6,2,
6,2,6,9,1,1,4,4,1,6,6,1,2,2,2,1,2,2,2,1,1,2,2,1,1,1],[1,3,12,24,8,1,4,9,10,12,
18,18,9,3,3,6,12,3,1,24,6,12,4,18,9,3,9,12,4,3,6,6,3,12,3,1,3,3,2,3,1,9,4,4,4,
3,1,3,3,1,3,3,3,6,3,3,4,1,3,3,1,1,1,1],[1,9,10,12,12,2,2,9,18,18,18,24,6,9,1,
2,2,6,4,6,6,6,12,4,12,18,9,9,9,6,1,12,6,6,12,12,6,2,2,2,2,12,6,6,6,9,1,1,4,1,
4,6,6,6,6,6,6,6,2,2,1,2,2,1,2,1,2,2,6,1,2,2,1,1,1],[1,9,12,4,18,27,12,4,12,9,
9,9,1,12,9,4,1,3,2,1,1,1,1],[1,9,6,28,2,2,36,24,9,9,9,24,14,10,6,2,6,6,8,8,9,
9,9,9,9,9,9,1,6,6,8,12,6,18,14,6,9,2,2,2,2,1,1,1,6,6,2,1,1,2,2,1,1,2,1,1,1,1,
1,1,1,1,1,1,1],[1,9,12,4,18,27,12,4,12,9,9,9,1,12,9,1,4,2,3,1,1,1,1],[1,9,10,
2,2,18,9,10,9,9,2,2,6,6,6,6,9,18,1,6,6,2,2,6,6,9,1,1,1,6,6,1,1,1,1,1,1,1,1,1,
1,1],[1,9,22,12,2,2,9,24,6,18,18,27,1,14,2,4,6,10,6,6,12,18,9,9,9,6,1,6,12,12,
18,2,6,2,14,2,6,6,6,9,4,1,1,4,1,6,6,6,2,6,6,6,6,1,2,2,2,2,1,2,1,2,6,2,1,1,2,1,
1],[1,9,2,18,3,1,7,9,18,3,9,9,9,18,6,9,1,3,1,3,6,1,1,3,3,3,9,9,3,1,3,1,2,1,3,
3,1,1,3,1,1,1,1],[1,27,6,3,4,9,18,9,9,27,27,3,6,6,4,3,3,18,9,6,3,9,1,1,2,3,3,
6,1,1],[1,9,6,3,4,9,18,3,9,9,9,3,6,6,4,3,3,9,6,3,9,1,1,2,1,3,1,1],[1,27,3,6,4,
9,27,27,36,54,6,4,3,6,3,12,18,9,9,1,1,2,1,3,1,1],[1,9,8,12,4,16,18,6,3,3,9,9,
6,4,24,16,48,4,16,12,6,3,1,6,6,3,6,9,3,6,6,3,8,16,4,12,3,6,1,1,2,3,1,1],[1,9,
2,3,1,7,18,3,9,9,6,3,1,3,1,6,1,1,3,3,3,9,3,1,3,1,3,3,1,2,1,3,1,1,1,1,1],[1,27,
2,18,3,1,7,9,27,18,9,9,54,27,18,6,9,1,3,1,3,6,1,1,9,9,3,9,9,9,54,27,3,1,2,1,3,
3,9,9,3,9,6,3,1,1],[1,81,8,12,4,16,216,432,108,324,6,4,24,16,48,4,16,12,144,
36,216,432,144,54,36,108,8,16,4,12,36,24,48,12,1,1],[1,27,6,3,4,9,27,36,27,54,
3,6,6,4,3,12,18,9,9,1,1,2,1,3,1,1],[1,9,9,6,3,4,18,3,9,9,9,6,3,3,6,4,3,9,6,3,
9,1,1,2,3,1,1,1],[1,9,8,12,4,16,18,18,6,6,6,4,24,16,48,4,16,12,12,9,12,1,12,
12,8,16,4,12,6,2,2,6,1,1],[1,9,8,12,4,16,18,6,18,6,6,4,24,16,48,4,16,12,6,12,
6,6,6,9,1,12,8,16,4,12,2,2,6,6,1,1],[1,27,2,18,3,1,7,9,27,18,63,9,27,18,6,9,1,
3,1,3,6,1,1,3,3,18,9,18,3,9,3,9,3,1,2,1,3,3,3,3,3,1,3,1,1],[1,1,6,24,12,16,6,
6,4,12,12,12,12,3,6,3,3,8,16,16,16,6,1,12,6,12,3,3,2,3,3,6,6,6,1,6,6,12,6,12,
6,1,16,8,4,6,6,6,3,6,3,3,3,3,6,3,6,3,6,4,4,4,8,4,4,1,3,3,3,3,3,3,4,4,4,3,1,
1],[1,27,12,24,6,3,4,36,54,18,27,15,12,6,12,6,6,8,7,36,27,54,6,24,27,3,6,4,36,
18,6,27,6,9,36,9,24,18,18,12,8,3,2,1,2,2,12,6,18,6,6,4,9,8,18,9,1,6,3,6,6,12,
6,6,4,2,6,6,6,6,2,2,1,1,1,6,3,1,2,2,1,1,1],[1,9,24,4,12,27,36,12,9,8,1,4,1,12,
9,4,3,4,1,1],[1,9,18,18,4,3,2,4,27,27,9,12,9,12,6,6,6,6,18,18,12,27,1,2,4,4,2,
18,18,9,9,9,6,1,6,6,2,6,6,12,6,12,2,9,1,3,1,6,6,3,2,2,1,3,1,1,1,1],[1,15,18,6,
3,4,27,9,27,21,12,12,6,6,6,8,18,27,3,6,4,9,6,9,18,9,10,6,4,1,2,12,6,6,6,9,1,6,
3,6,1,3,2,2,1,3,1,1,1,1],[1,15,6,6,3,4,9,9,9,21,12,12,6,2,8,6,6,9,3,6,4,9,9,6,
6,9,10,6,4,1,2,6,6,4,2,9,1,6,1,1,6,1,2,2,1,1,1,1,1,1],[1,27,12,24,4,3,2,4,18,
54,36,27,6,12,15,12,8,7,6,6,36,36,18,27,24,6,27,1,2,4,4,2,18,36,24,18,9,18,36,
6,6,27,9,3,6,1,8,6,2,8,4,6,6,2,2,12,12,12,3,6,9,18,1,3,6,6,2,4,12,6,6,6,6,6,6,
6,1,2,1,2,1,3,6,2,1,1,2,1,1],[1,9,24,4,12,27,36,12,9,8,4,1,1,12,9,4,3,4,1,1],[
1,9,6,6,4,3,2,4,9,9,9,12,12,9,2,6,6,6,12,2,6,9,1,2,4,4,2,9,6,6,9,9,6,1,6,2,2,
4,6,2,2,6,4,9,1,1,1,6,6,1,2,1,2,1,1,1,1,1],[1,9,6,18,4,3,2,4,27,27,9,12,12,9,
2,6,6,6,18,12,6,27,1,2,4,4,2,18,6,9,9,9,6,1,6,2,6,12,4,6,2,6,2,9,1,1,6,6,3,3,
2,1,2,3,1,1,1,1],[1,27,12,4,3,2,4,27,27,9,6,15,7,6,36,36,18,27,27,1,2,4,4,2,
18,9,27,9,3,6,1,8,6,2,12,12,3,6,9,1,3,6,6,1,3,1,1,1,3,1,1,1,1],[1,27,18,6,3,4,
27,27,9,27,12,6,18,6,18,18,27,3,6,4,9,27,9,18,18,3,2,12,18,6,6,9,1,6,3,1,9,2,
3,3,1,1,1,1],[1,9,18,6,4,3,2,4,27,9,27,12,9,12,6,6,6,6,18,12,2,27,1,2,4,4,2,9,
6,18,9,9,6,1,6,6,2,6,2,2,12,6,4,9,1,3,6,6,1,3,2,2,1,3,1,1,1,1],[1,27,12,24,4,
3,2,4,54,54,27,12,6,12,15,7,6,36,36,18,27,30,14,27,1,2,4,4,2,27,30,54,18,15,
36,27,3,6,1,8,8,12,6,2,12,8,12,6,2,3,4,6,27,1,3,6,6,6,12,6,8,6,12,4,6,1,2,2,1,
1,3,6,1,1,2,1,2,1],[1,27,36,6,3,4,54,81,45,18,18,21,36,27,54,27,3,6,4,81,45,
27,54,12,24,9,6,3,18,18,9,27,1,9,18,18,18,12,3,3,1,9,3,1,3,1],[1,27,6,6,3,4,
27,27,9,27,12,18,2,18,6,6,27,3,6,4,9,9,27,6,18,3,2,6,18,4,2,9,1,6,1,9,3,2,3,3,
1,1,1,1],[1,27,36,3,6,4,81,54,45,21,27,36,54,18,18,27,4,6,3,27,54,81,45,12,6,
12,12,18,9,3,18,9,27,1,18,12,9,9,18,9,3,3,1,9,3,1,3,1],[1,27,12,6,3,4,27,27,9,
15,6,6,7,36,27,54,27,3,6,4,9,27,9,18,12,8,3,2,1,18,6,9,9,1,3,6,6,1,3,1,1,1,3,
1,1,1,1],[1,8,18,12,4,16,9,12,18,6,9,6,6,4,24,16,3,48,4,16,12,8,3,6,16,2,6,1,
6,4,2,3,12,3,4,2,2,1,1,1,2,4,1],[1,9,22,24,12,2,2,18,18,24,24,36,24,24,27,10,
9,9,14,2,4,6,4,10,6,6,12,12,4,12,36,18,36,9,9,18,9,18,18,24,18,24,18,1,12,6,6,
12,12,12,12,18,2,2,2,6,2,14,2,12,6,6,6,6,18,18,9,9,9,4,1,1,4,4,1,4,6,6,6,2,6,
6,6,6,6,6,6,6,6,2,9,2,1,2,2,2,2,2,1,2,1,1,1,2,2,1,2,2,2,1,6,6,2,1,2,2,2,2,1,1,
2,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1],[1,9,8,12,4,16,9,18,18,6,6,6,4,24,16,
48,4,16,12,18,18,12,9,12,1,12,12,8,16,4,12,1,9,6,2,2,6,1,2,2,1,1],[1,27,36,6,
3,4,27,27,18,18,24,12,3,6,4,27,27,18,3,18,4,1,8,9,3,4,1,1],[1,81,18,8,12,4,16,
81,36,36,12,12,216,432,108,324,6,4,24,16,48,4,16,12,108,108,144,24,18,24,36,2,
24,216,24,432,144,54,36,108,8,16,4,12,18,36,72,36,36,12,4,24,48,4,12,12,1,12,
12,1,2,1],[1,27,8,12,4,16,27,54,54,18,18,6,4,24,16,48,4,16,12,27,27,36,27,36,
3,36,36,8,16,4,12,27,9,18,6,6,18,1,9,1,3,1],[1,27,3,36,6,4,27,27,18,18,12,12,
12,4,6,3,27,27,9,9,3,18,1,4,4,4,9,3,4,1,1],[1,27,3,6,4,36,27,27,18,18,24,4,12,
6,3,27,27,9,9,3,18,1,4,8,9,3,4,1,1],[1,81,8,12,4,16,81,216,432,108,324,6,4,24,
16,48,4,16,12,144,36,216,432,144,54,36,108,8,16,4,12,36,36,18,36,24,48,12,1,1,
1],[1,27,36,2,18,3,1,7,9,81,45,21,9,27,9,18,63,9,54,27,9,27,9,9,18,6,9,1,3,1,
3,6,1,1,27,27,27,81,3,9,3,12,18,3,12,3,9,9,9,9,18,3,3,9,1,9,3,54,27,9,3,1,2,1,
3,3,9,9,9,9,9,9,9,9,9,1,3,1,9,3,3,6,3,3,1,3,1,1,3,1,3,3,3,3,3,1,1,1,1],[1,9,8,
12,4,16,81,18,18,6,6,6,4,24,16,48,4,16,12,54,54,12,9,12,1,12,12,8,16,4,12,9,9,
6,2,2,6,1,6,6,1,1],[1,9,18,8,12,4,16,27,18,36,18,12,6,6,6,6,18,18,6,4,24,16,
48,4,16,12,27,9,18,12,9,12,12,1,12,6,2,12,12,6,12,18,12,6,12,12,6,8,16,4,12,6,
18,3,9,6,12,2,2,6,4,2,6,2,6,1,3,6,1,2,1,1],[1,27,36,6,3,4,9,81,18,18,9,27,12,
36,27,54,9,9,27,36,3,6,6,4,3,54,27,27,54,12,3,3,18,9,18,9,6,3,6,9,12,9,9,1,1,
2,9,18,9,9,9,3,1,3,3,6,1,3,1,3,3,1,1,1,1],[1,9,18,8,12,4,16,27,18,36,18,12,6,
6,6,6,18,18,6,4,24,16,48,4,16,12,18,9,27,12,9,12,12,1,12,6,2,12,12,6,12,18,12,
6,12,12,6,8,16,4,12,3,6,9,18,6,12,2,2,6,4,2,6,2,6,1,6,1,3,2,1,1],[1,27,8,12,4,
16,27,54,18,54,18,6,4,24,16,48,4,16,12,27,27,18,36,18,18,18,27,3,36,8,16,4,12,
27,9,6,6,18,18,1,1,9,3,1],[1,9,18,8,12,4,16,27,36,18,12,18,6,6,36,12,6,4,24,
16,48,4,16,12,27,18,9,12,9,12,1,12,12,24,12,12,12,12,18,2,24,8,16,4,12,18,6,3,
9,4,4,12,6,12,2,2,6,1,3,1,6,1,2,1],[1,81,18,8,12,4,16,81,36,12,6,6,216,432,
108,324,18,18,6,4,24,16,48,4,16,12,54,54,108,144,36,12,6,2,12,12,6,12,18,216,
6,432,144,12,12,54,36,6,108,8,16,4,12,9,18,36,18,36,9,18,18,6,36,12,2,2,4,6,
24,48,12,1,12,6,6,2,1,1],[1,81,18,8,12,4,16,81,36,12,216,432,108,324,36,12,6,
4,24,16,48,4,16,12,108,108,144,36,12,24,12,12,216,432,12,144,18,2,54,24,36,
108,8,16,4,12,18,18,18,18,72,18,4,36,4,12,12,24,48,12,1,12,12,1,2,1],[1,81,8,
12,4,16,81,216,432,108,324,6,4,24,16,48,4,16,12,144,36,216,432,144,54,36,108,
8,16,4,12,36,18,36,36,24,48,12,1,1,1],[1,27,6,3,4,36,27,27,18,18,3,24,6,4,12,
27,27,18,3,18,4,1,8,9,3,4,1,1],[1,9,36,24,4,12,54,27,36,12,36,12,24,12,36,9,
27,27,8,1,4,36,36,27,1,12,4,24,12,12,9,4,6,12,3,9,4,4,4,1,3,3,4,3,1,1],[1,27,
12,24,24,4,3,2,4,27,54,18,54,54,36,27,9,12,6,12,12,15,12,8,7,6,6,36,36,18,27,
24,30,14,6,54,27,27,27,36,1,2,4,4,2,18,27,30,54,36,24,18,15,9,9,18,36,36,6,6,
27,9,9,27,3,6,1,8,6,2,8,8,12,4,6,6,2,2,12,8,12,12,6,2,3,4,6,9,9,9,27,9,9,18,9,
1,3,6,6,6,2,4,12,6,6,1,6,6,12,6,6,6,6,8,6,12,4,6,3,9,1,2,2,2,1,2,1,3,6,4,3,6,
3,6,2,1,1,1,1,1,2,2,1,1,2,3,1,1,1,1,1,1,1,1],[1,27,36,24,6,3,4,27,54,36,54,18,
81,9,45,12,18,12,6,18,8,21,36,27,54,6,24,54,27,27,27,36,3,6,4,36,9,18,6,81,6,
9,9,45,36,9,24,27,54,18,27,12,24,9,6,3,2,2,12,6,18,18,6,4,9,8,9,27,9,9,9,18,9,
9,1,6,9,18,18,12,6,6,4,1,2,6,6,18,6,6,12,3,9,2,2,3,3,1,4,9,6,6,3,3,3,1,2,1,2,
1,1,3,1,3,1,1,1,1,1,1,1,1],[1,9,36,24,4,12,54,27,36,12,36,12,24,12,36,27,27,9,
8,4,1,36,36,27,12,4,1,24,12,12,9,4,3,6,12,9,4,4,4,3,3,1,4,3,1,1],[1,27,8,18,
12,4,16,9,54,18,9,9,27,27,27,12,18,6,9,6,6,4,24,16,3,48,4,16,12,18,9,3,18,18,
9,18,27,27,9,18,6,3,18,9,8,3,6,16,2,6,1,6,4,2,3,12,3,4,3,3,6,9,18,3,6,3,6,6,3,
9,3,6,2,2,1,1,1,2,4,3,1,3,6,1,1],[1,81,8,18,12,4,16,9,81,216,432,108,324,12,
18,6,9,6,6,4,24,16,3,48,4,16,12,144,36,54,216,432,144,27,54,36,108,27,8,3,6,
16,2,6,1,6,4,2,3,12,3,4,36,9,9,24,9,48,12,9,2,2,1,1,1,2,4,6,1,3,3,1,1],[1,27,
8,18,12,4,16,9,54,18,9,9,54,27,27,27,12,18,6,9,6,6,4,24,16,3,48,4,16,12,9,18,
9,3,18,18,9,18,27,9,18,18,9,54,27,8,3,6,16,2,6,1,6,4,2,3,12,3,4,9,9,3,9,9,18,
3,6,3,6,9,2,2,1,1,1,2,4,3,3,1,6,1,1],[1,81,36,8,12,4,16,162,81,72,24,216,432,
108,324,72,24,81,6,4,24,16,48,4,16,12,216,216,144,36,24,48,24,24,216,432,24,
144,36,4,54,48,36,108,8,16,4,12,36,36,18,36,36,36,144,36,36,8,36,8,24,24,24,
48,12,36,1,24,24,1,4,2,1,1],[1,81,18,8,12,4,16,81,81,81,36,36,12,12,216,432,
108,324,81,6,4,24,16,48,4,16,12,108,108,144,24,18,24,36,2,24,216,24,432,144,
54,36,108,8,16,4,12,18,36,36,72,36,36,36,18,18,36,36,12,4,24,48,4,12,12,18,1,
12,12,1,2,1,1,1,1],[1,27,18,36,6,3,4,81,27,27,27,36,18,6,18,36,18,18,81,24,12,
3,6,4,27,27,27,27,18,18,3,6,18,18,12,6,36,27,27,4,1,8,18,3,9,9,6,4,3,9,4,3,1,
3,4,3,1,1],[1,81,18,18,8,12,4,16,81,81,81,36,36,12,36,12,12,216,432,108,324,
36,12,81,6,4,24,16,48,4,16,12,108,108,108,108,144,24,18,24,36,2,24,12,24,12,
12,216,24,432,12,144,18,2,54,24,36,108,8,16,4,12,18,36,36,72,18,36,36,18,18,
18,18,72,18,4,36,4,12,12,12,4,24,48,4,12,12,18,18,1,12,12,12,12,1,2,2,1,1,1,
1],[1,27,36,3,6,4,36,81,54,45,21,108,27,36,54,18,18,27,24,4,12,6,3,27,54,27,
81,45,12,6,12,12,18,9,3,18,9,36,27,27,1,4,8,18,12,9,9,18,9,3,3,1,12,9,4,3,1,3,
4,1,1,1],[1,81,8,12,4,16,243,216,432,108,324,81,6,4,24,16,48,4,16,12,144,36,
216,432,144,54,36,108,8,16,4,12,108,54,108,36,24,48,12,36,1,1,3,1],[1,81,8,12,
4,16,81,216,432,108,324,81,6,4,24,16,48,4,16,12,144,36,216,432,144,54,36,108,
8,16,4,12,36,18,36,36,24,48,12,18,1,1,1,1],[1,81,8,12,4,16,243,216,432,108,
324,81,6,4,24,16,48,4,16,12,144,36,216,432,144,54,36,108,8,16,4,12,108,108,54,
36,24,48,12,36,1,1,3,1],[1,81,18,8,12,4,16,81,81,9,36,36,12,12,216,432,108,
324,81,6,4,24,16,48,4,16,12,54,108,18,18,108,54,144,24,18,24,36,2,24,216,24,
432,144,54,36,108,54,54,8,16,4,12,18,36,72,36,1,9,9,9,36,12,4,24,48,4,12,12,9,
9,1,6,2,2,12,6,12,1,2,6,6,1,1,1,1],[1,81,8,12,4,16,81,216,432,108,324,81,6,4,
24,16,48,4,16,12,144,36,216,432,144,54,36,108,8,16,4,12,36,36,18,36,24,48,12,
18,1,1,1,1],[1,81,36,8,12,4,16,162,81,72,24,216,432,108,324,72,24,81,6,4,24,
16,48,4,16,12,216,216,144,36,24,48,24,24,216,432,24,144,36,4,54,48,36,108,8,
16,4,12,36,36,36,18,36,36,36,144,36,8,36,8,24,24,24,48,12,36,1,24,24,1,4,1,2,
1],[1,27,18,6,3,4,36,81,27,27,27,36,18,6,18,18,36,18,81,3,24,6,4,12,27,27,27,
27,18,18,3,6,18,18,12,6,36,27,27,4,1,8,18,3,9,9,4,6,3,9,4,3,1,3,4,3,1,1],[1,
81,18,36,8,12,4,16,54,162,54,81,36,72,36,24,12,12,12,12,216,432,108,324,36,36,
81,6,4,24,16,48,4,16,12,108,108,36,108,18,54,216,18,36,108,54,144,24,18,24,36,
24,2,24,12,4,24,24,12,24,36,216,24,12,432,144,24,24,54,36,12,108,54,54,8,16,4,
12,18,18,36,72,36,36,72,36,12,6,72,36,6,18,18,12,18,36,36,36,12,36,24,4,4,12,
8,4,12,24,48,4,12,12,9,36,9,1,6,24,12,12,2,12,12,12,6,12,2,4,1,2,6,6,1,2,2,2,
1],[1,9,18,18,8,12,4,16,27,27,9,36,18,36,12,18,12,6,6,6,6,18,36,12,18,27,6,4,
24,16,48,4,16,12,27,18,18,9,18,9,18,27,12,9,12,12,1,12,6,2,12,12,6,12,24,12,
12,12,18,12,6,12,12,18,2,12,24,6,27,9,8,16,4,12,3,1,6,18,9,9,18,6,3,9,6,4,12,
2,4,2,12,6,12,4,2,6,2,6,3,9,1,6,3,2,1,2,3,1,6,2,1,2,1,3,1,1,1,1],[1,81,18,36,
8,12,4,16,162,108,81,72,36,24,36,12,12,216,432,108,324,72,24,81,6,4,24,16,48,
4,16,12,108,72,216,108,36,216,108,144,24,18,24,36,2,24,24,48,24,24,216,24,432,
24,144,36,4,54,48,36,108,108,8,16,4,12,18,36,72,36,36,72,36,36,24,36,144,12,
36,36,8,36,8,24,12,24,4,24,48,4,12,12,18,36,1,24,12,12,24,4,12,24,1,2,4,12,1,
4,2,1],[1,81,54,8,12,4,16,108,243,108,108,36,36,216,432,108,324,81,6,4,24,16,
48,4,16,12,324,108,108,324,144,72,54,72,36,6,72,216,72,432,144,54,36,108,108,
8,16,4,12,54,108,216,108,108,36,36,36,12,24,48,12,12,36,54,1,36,36,4,36,1,6,
12,3,4,1],[1,81,18,18,8,12,4,16,81,81,81,36,36,12,36,12,12,216,432,108,324,36,
12,81,6,4,24,16,48,4,16,12,108,108,108,108,144,24,18,24,36,2,24,12,24,12,12,
216,24,432,12,144,18,2,54,24,36,108,8,16,4,12,18,36,72,18,36,36,18,18,18,18,
72,36,18,4,36,4,12,12,12,4,24,48,4,12,12,18,18,1,12,12,12,12,1,2,2,1,1,1,1],[
1,27,18,8,12,4,16,27,27,9,54,36,54,12,6,18,6,18,18,18,27,6,4,24,16,48,4,16,12,
18,27,18,27,9,18,27,36,27,36,12,3,36,6,2,12,12,6,12,18,36,6,12,12,6,27,9,8,16,
4,12,6,18,3,9,1,9,27,9,6,12,2,2,18,4,6,6,6,18,9,3,1,9,3,6,2,2,1,1,2,3,3,1,1,1,
1,1],[1,81,18,8,12,4,16,81,81,81,36,12,216,432,108,324,36,12,81,6,4,24,16,48,
4,16,12,108,108,144,36,12,24,12,12,216,432,12,144,18,2,54,24,36,108,8,16,4,12,
36,18,36,36,18,18,18,18,18,72,36,18,4,36,4,12,12,24,48,12,18,1,12,12,1,2,1,1,
1,1],[1,27,18,8,12,4,16,81,27,27,54,36,54,12,6,18,6,18,18,18,81,6,4,24,16,48,
4,16,12,54,27,27,9,18,27,54,36,27,36,12,3,36,6,2,12,12,6,12,18,36,6,12,12,6,
27,27,8,16,4,12,6,18,3,9,27,9,9,9,6,12,2,2,18,4,6,6,6,18,9,9,1,9,3,6,6,1,6,1,
2,3,3,3,1,1,1,1],[1,81,54,8,12,4,16,243,108,108,36,216,432,108,324,108,36,81,
6,4,24,16,48,4,16,12,108,324,324,108,144,36,36,72,36,36,216,432,36,144,54,6,
54,72,36,108,108,8,16,4,12,108,54,36,54,54,54,216,54,12,36,12,36,36,24,48,12,
54,1,36,4,36,36,1,6,12,4,3,1],[1,27,36,6,3,4,36,54,81,45,18,108,18,21,36,27,
54,27,3,24,6,4,12,81,27,45,27,54,12,24,9,6,3,18,18,9,36,27,27,4,1,8,9,18,18,
18,12,3,3,1,12,9,4,3,1,3,4,1,1,1],[1,81,36,8,12,4,16,162,81,72,24,12,12,216,
432,108,324,36,36,81,6,4,24,16,48,4,16,12,108,108,216,144,36,24,12,4,24,24,12,
24,36,216,12,432,144,24,24,54,36,12,108,8,16,4,12,18,36,36,72,36,36,72,18,18,
36,36,12,36,24,4,4,8,12,24,48,12,18,18,1,24,12,12,4,1,1,2,1],[1,81,36,8,12,4,
16,162,81,72,24,12,12,216,432,108,324,36,36,81,6,4,24,16,48,4,16,12,108,108,
216,144,36,24,12,4,24,24,12,24,36,216,12,432,144,24,24,54,36,12,108,8,16,4,12,
18,36,72,36,72,36,18,18,36,36,36,12,36,24,4,4,8,12,24,48,12,18,18,1,24,12,12,
4,1,2,1,1],[1,9,18,18,8,12,4,16,81,27,27,36,18,36,12,18,12,6,6,6,6,18,36,12,
18,81,6,4,24,16,48,4,16,12,27,54,18,18,9,9,54,27,12,9,12,12,1,12,6,2,12,12,6,
12,24,12,12,12,18,12,6,12,12,18,2,12,24,6,27,27,8,16,4,12,3,6,18,9,18,9,6,3,9,
9,6,4,12,2,4,2,12,6,12,4,2,6,2,6,9,9,1,6,6,3,1,6,3,1,6,2,1,2,3,3,1,1,1,1],[1,
27,54,6,3,4,36,27,81,27,27,36,18,18,18,18,108,54,81,3,24,6,4,12,27,27,27,27,
54,18,3,6,36,18,18,24,12,18,27,27,4,1,8,18,9,3,9,12,6,24,3,9,4,3,1,3,4,3,1,
1],[1,27,8,72,12,4,16,36,27,54,54,18,18,48,72,24,36,6,24,4,24,16,12,48,4,16,
12,27,27,54,27,36,27,36,3,36,36,8,12,24,16,8,24,4,24,4,8,12,12,12,16,27,27,9,
18,6,6,18,8,8,4,4,1,8,16,9,1,3,4,2,1,1,1],[1,27,8,72,12,4,16,36,27,54,18,54,
18,48,72,24,36,6,24,4,24,16,12,48,4,16,12,54,27,27,27,18,36,18,18,18,27,3,36,
8,12,24,16,8,24,4,24,4,8,12,12,12,16,27,27,9,6,6,18,18,8,8,4,4,1,8,16,1,9,3,4,
2,1,1,1],[1,81,54,8,18,12,4,16,9,243,108,36,18,81,18,216,432,108,54,324,54,27,
27,54,12,18,6,9,6,6,4,24,16,3,48,4,16,12,162,162,81,324,144,9,36,36,54,18,6,
36,36,18,36,27,54,216,18,432,144,36,6,27,3,36,54,36,18,54,27,108,27,8,3,6,16,
2,6,1,6,4,2,3,12,3,4,27,54,27,108,54,108,27,27,54,54,9,9,3,3,3,6,9,18,36,9,36,
6,6,6,6,6,12,9,3,18,24,9,48,12,3,6,9,2,2,1,1,1,2,4,36,9,9,9,18,18,9,3,1,3,6,6,
6,1,1,3,6,3,1,3,3,3,1,1,1,1],[1,81,36,36,8,12,4,16,162,162,81,72,72,24,24,12,
12,216,432,108,324,36,72,24,36,81,81,81,6,4,24,16,48,4,16,12,108,216,108,216,
216,81,144,36,24,12,4,24,24,12,24,48,24,24,24,36,216,12,432,24,144,24,36,4,24,
54,48,36,12,108,8,16,4,12,18,36,36,36,72,36,36,72,18,18,36,36,36,36,36,144,36,
12,8,36,24,4,8,4,24,24,8,12,24,48,12,18,36,18,18,1,24,24,24,12,12,4,1,4,1,2,2,
1,1,1,1],[1,81,18,8,12,4,16,162,81,18,81,81,36,36,12,12,216,432,108,324,81,
162,6,4,24,16,48,4,16,12,108,108,36,36,108,108,81,144,24,18,24,36,2,24,216,24,
432,144,54,36,108,108,108,8,16,4,12,18,36,36,72,36,36,36,2,18,18,18,18,36,18,
36,12,4,24,48,4,12,12,18,18,18,1,12,4,4,12,12,12,18,1,2,12,12,2,1,1,2,1,1,2,
1],[1,81,18,72,8,12,4,16,324,108,81,81,81,108,144,36,48,36,12,12,216,432,108,
324,144,48,81,81,81,81,81,81,81,6,4,24,16,48,4,16,12,108,108,72,432,108,36,
432,108,108,81,144,24,18,24,36,2,24,48,96,48,48,216,24,432,48,144,72,8,54,96,
36,108,108,108,8,16,4,12,108,18,36,36,72,72,36,36,36,36,18,72,18,72,72,24,72,
288,36,12,36,72,16,36,16,48,12,48,4,24,48,4,12,12,18,18,18,18,54,36,18,36,18,
36,1,48,4,12,12,48,4,12,24,36,18,1,2,8,12,12,1,1,4,4,4,1,1,1,1,1,1,1,1,1],[1,
81,54,36,8,12,4,16,81,108,54,162,54,243,9,108,72,108,24,12,36,12,36,216,432,
108,324,36,36,162,81,81,81,54,6,4,24,16,48,4,16,12,108,54,108,36,324,18,18,54,
18,108,216,18,36,108,324,54,54,81,144,72,54,72,36,24,6,72,12,4,24,24,12,24,36,
216,72,12,432,144,24,24,54,36,12,108,54,108,54,18,54,54,54,54,54,8,16,4,12,18,
54,108,216,36,108,72,36,12,6,72,36,6,18,1,18,12,9,18,36,108,36,9,36,36,9,54,
12,36,24,4,4,36,8,12,12,24,48,12,12,36,18,6,54,18,9,36,18,9,9,9,1,36,6,24,12,
12,6,2,2,2,36,12,12,4,6,6,36,2,9,9,4,1,6,6,6,6,6,6,2,12,6,6,1,3,4,1,2,2,2,6,1,
1,1,2,2,1],[1,81,36,8,12,4,16,162,243,72,24,12,12,216,432,108,324,36,36,81,81,
81,6,4,24,16,48,4,16,12,108,108,216,81,144,36,24,12,4,24,24,12,24,36,216,12,
432,144,24,24,54,36,12,108,8,16,4,12,18,36,72,36,72,108,18,54,36,36,108,12,36,
24,4,4,8,12,24,48,12,18,36,18,18,1,24,12,12,18,4,1,2,3,1,1,1,1],[1,81,18,72,8,
12,4,16,108,324,108,81,81,81,36,144,36,48,24,12,24,12,216,432,108,324,72,72,
162,81,162,162,6,4,24,16,48,4,16,12,216,216,72,108,36,108,432,36,72,108,108,
81,144,24,18,24,36,48,2,24,24,8,48,48,24,48,72,216,24,24,432,144,48,48,54,36,
24,108,108,108,8,16,4,12,36,18,36,36,72,72,36,144,72,24,36,12,144,72,12,36,36,
36,18,24,18,36,72,72,72,36,24,36,48,8,8,12,16,4,24,24,48,4,12,12,18,36,18,72,
36,36,36,18,1,12,48,24,24,4,12,24,24,12,12,4,18,8,1,2,12,12,1,1,4,4,4,1,1,2,2,
2,1],[1,27,36,72,6,3,4,36,81,54,108,162,54,81,27,45,36,18,36,18,108,18,24,21,
36,27,54,18,36,108,72,162,81,27,81,108,3,24,6,4,12,108,27,54,18,81,108,18,27,
27,27,45,108,27,72,27,54,54,81,12,24,9,6,3,6,6,36,18,18,18,18,24,12,12,9,24,
36,36,27,27,27,27,27,27,27,27,54,27,27,4,1,8,18,9,18,18,36,18,18,36,12,3,6,18,
18,18,18,18,12,9,27,27,12,4,6,6,24,3,3,1,12,12,9,18,18,9,9,4,3,3,6,3,6,12,1,3,
3,3,9,4,4,4,3,3,3,3,1,3,3,4,1,3,1,1,1,1],[1,81,18,36,8,12,4,16,162,81,81,243,
72,36,24,36,12,12,216,432,108,324,72,24,81,81,81,162,162,6,4,24,16,48,4,16,12,
216,108,216,108,81,144,24,18,24,36,2,24,24,48,24,24,216,24,432,24,144,36,4,54,
48,36,108,8,16,4,12,18,36,36,72,36,36,36,108,18,54,36,36,36,144,108,36,8,36,8,
24,12,24,4,24,48,4,12,12,36,36,18,36,36,36,1,24,12,24,12,1,2,4,1,1,2,3,1,1,1,
2,2,1],[1,81,36,36,8,12,4,16,162,162,81,72,72,24,24,12,12,216,432,108,324,36,
72,24,36,81,81,81,6,4,24,16,48,4,16,12,108,216,108,216,216,81,144,36,24,12,4,
24,24,12,24,48,24,24,24,36,216,12,432,24,144,24,36,4,24,54,48,36,12,108,8,16,
4,12,18,36,36,72,36,72,36,18,18,36,36,36,36,36,144,36,36,12,8,36,24,4,8,4,24,
24,8,12,24,48,12,18,36,18,18,1,24,24,24,12,12,4,1,4,2,2,1,1,1,1,1],[1,81,54,
36,8,12,4,16,162,108,108,243,81,81,72,108,24,108,36,36,216,432,108,324,72,24,
81,81,81,162,162,6,4,24,16,48,4,16,12,108,72,216,324,36,216,108,108,324,81,
144,72,54,72,36,6,72,24,48,24,24,216,72,432,24,144,36,4,54,48,36,108,108,108,
8,16,4,12,54,108,36,216,36,108,36,36,18,72,18,108,36,36,24,36,36,144,36,12,36,
36,8,36,8,24,36,24,12,24,48,12,12,36,18,36,36,36,18,54,36,36,1,36,24,12,36,24,
4,4,36,24,18,1,6,4,12,12,3,4,1,4,2,1,1,2,1,1,2,1],[1,81,18,36,8,12,4,16,162,
81,243,81,72,36,24,36,12,12,216,432,108,324,72,24,81,81,162,162,81,6,4,24,16,
48,4,16,12,216,108,216,108,81,144,24,18,24,36,2,24,24,48,24,24,216,24,432,24,
144,36,4,54,48,36,108,8,16,4,12,18,36,108,72,36,36,108,36,54,18,36,36,36,144,
36,36,8,36,8,24,12,24,4,24,48,4,12,12,36,18,36,36,36,36,1,24,12,24,12,1,2,4,1,
3,2,1,1,2,1,1,2,1],[1,81,36,8,12,4,16,162,243,72,24,12,12,216,432,108,324,36,
36,81,81,81,6,4,24,16,48,4,16,12,108,108,216,81,144,36,24,12,4,24,24,12,24,36,
216,12,432,144,24,24,54,36,12,108,8,16,4,12,18,108,36,72,36,108,72,18,54,36,
36,12,36,24,4,4,8,12,24,48,12,18,18,36,18,1,24,12,12,18,4,1,3,2,1,1,1,1],[1,
81,18,8,12,4,16,81,81,81,36,36,12,12,216,432,108,324,162,81,6,4,24,16,48,4,16,
12,108,108,81,144,24,18,24,36,2,24,216,24,432,144,54,36,108,8,16,4,12,18,36,
36,72,36,36,36,18,18,36,36,12,4,24,48,4,12,12,36,18,1,12,12,1,2,1,1,1,1,2,1],[
1,81,18,36,36,8,12,4,16,81,162,54,162,108,54,81,9,72,36,72,24,36,24,12,12,12,
12,216,432,108,324,36,72,24,36,162,81,81,81,54,6,4,24,16,48,4,16,12,108,108,
54,72,216,108,36,108,36,18,18,54,216,18,216,18,36,108,54,54,81,144,24,18,24,
36,24,2,24,12,4,24,24,12,24,48,24,24,24,36,216,24,12,432,24,144,24,36,4,24,54,
48,36,12,108,54,54,54,54,108,54,54,54,18,8,16,4,12,18,18,36,72,36,36,36,72,36,
12,6,72,36,6,18,1,18,12,72,9,18,36,36,36,9,36,36,24,36,144,12,36,9,36,54,12,8,
36,24,4,8,4,24,12,24,8,4,12,24,48,4,12,12,18,18,18,6,9,36,18,9,9,36,9,1,6,24,
24,12,12,6,12,2,2,2,12,24,12,12,6,6,4,12,2,24,9,9,4,1,2,4,6,2,6,6,6,6,6,12,6,
1,1,1,2,2,4,2,2,6,1,1,2,1,2,1],[1,81,18,8,12,4,16,81,81,81,36,36,12,12,216,
432,108,324,81,162,6,4,24,16,48,4,16,12,108,108,81,144,24,18,24,36,2,24,216,
24,432,144,54,36,108,8,16,4,12,18,36,36,72,36,36,36,18,18,36,36,12,4,24,48,4,
12,12,18,36,1,12,12,1,2,1,1,1,1,2,1],[1,81,54,8,72,12,4,16,36,108,243,108,108,
324,36,36,216,432,108,324,81,48,72,24,36,6,24,4,24,16,12,48,4,16,12,324,27,
108,54,108,324,144,72,54,72,36,6,216,72,216,72,432,144,108,54,36,108,108,108,
81,8,12,24,16,8,24,4,24,4,8,12,12,12,16,54,108,216,108,27,108,36,36,36,36,12,
36,24,36,48,12,12,36,36,54,27,8,8,4,4,1,8,16,36,36,4,36,24,1,12,6,12,12,4,2,3,
4,1,4,1,3,1,1],[1,81,8,72,12,4,16,36,243,324,216,432,108,324,81,48,72,24,36,6,
24,4,24,16,12,48,4,16,12,144,36,216,216,432,144,108,54,36,108,108,81,8,12,24,
16,8,24,4,24,4,8,12,12,12,16,108,108,54,36,36,36,24,36,48,12,36,36,8,8,4,4,1,
8,16,24,1,12,12,9,4,3,4,1,1],[1,27,54,8,72,12,4,16,36,27,81,27,54,108,54,36,
18,18,18,18,54,108,54,81,48,72,24,36,6,24,4,24,16,12,48,4,16,12,54,81,27,54,
27,54,27,54,27,36,27,36,36,3,36,18,6,36,36,18,36,108,54,36,18,36,24,12,36,18,
81,27,27,8,12,24,16,8,24,4,24,4,8,12,12,12,16,18,54,9,27,3,27,27,27,9,12,12,
24,18,36,6,24,6,18,24,12,6,12,18,6,12,24,18,27,9,27,8,8,4,4,1,8,16,9,9,18,6,6,
1,3,12,4,6,24,3,9,3,4,3,2,1,3,1,4,3,1,1,1],[1,81,54,8,72,12,4,16,36,243,108,
108,36,324,216,432,108,324,108,36,81,48,72,24,36,6,24,4,24,16,12,48,4,16,12,
54,108,324,27,324,108,144,36,216,36,72,36,36,216,432,36,144,54,108,6,54,72,36,
108,108,108,81,8,12,24,16,8,24,4,24,4,8,12,12,12,16,108,54,27,36,54,54,54,216,
54,12,36,36,12,36,36,36,24,36,48,12,36,54,27,8,8,4,4,1,8,16,36,4,36,36,24,1,
12,6,12,12,4,2,1,4,3,4,3,1,1,1],[1,27,54,8,72,12,4,16,36,243,27,81,54,108,54,
36,18,18,18,18,216,54,108,54,243,48,72,24,36,6,24,4,24,16,12,48,4,16,12,162,
81,27,27,54,27,54,27,162,36,27,36,36,36,3,36,18,6,36,36,18,36,54,36,18,36,36,
18,216,108,81,81,162,81,8,12,24,16,8,24,4,24,4,8,12,12,12,16,18,54,9,27,27,27,
27,9,27,36,36,12,36,18,36,6,24,6,18,12,6,18,6,18,27,27,27,8,8,4,4,1,8,16,9,9,
18,18,1,18,3,12,6,4,24,3,9,9,4,2,1,3,3,1,4,6,3,3,1,1],[1,81,8,72,12,4,16,36,
243,324,216,432,108,324,81,48,72,24,36,6,24,4,24,16,12,48,4,16,12,144,36,216,
216,432,144,108,54,36,108,108,81,8,12,24,16,8,24,4,24,4,8,12,12,12,16,108,54,
108,36,36,36,24,36,48,12,36,36,8,8,4,4,1,8,16,24,1,12,12,9,4,3,4,1,1],[1,81,
54,72,36,8,12,4,16,162,162,108,108,324,108,108,243,18,81,81,72,108,144,24,108,
48,24,36,24,36,216,432,108,324,72,72,24,72,324,162,324,81,81,162,81,162,162,
108,162,108,162,6,4,24,16,48,4,16,12,216,108,108,72,216,216,72,324,36,36,36,
108,216,36,108,432,36,72,108,324,108,108,162,162,81,81,81,144,72,54,72,36,48,
6,72,24,8,48,48,24,24,48,24,24,48,72,216,72,24,432,24,144,48,36,4,48,54,48,36,
24,108,108,108,108,36,108,108,108,108,108,108,108,108,108,36,8,16,4,12,81,36,
54,108,36,216,72,36,108,144,72,24,36,12,144,72,12,36,36,2,36,18,24,72,18,18,
36,72,108,36,72,18,36,72,24,36,36,144,36,12,36,18,36,108,108,24,8,36,48,8,8,8,
24,36,24,16,12,24,24,48,12,12,36,36,18,36,12,36,36,36,36,18,54,12,36,36,18,72,
36,36,36,36,36,36,18,18,36,18,1,36,12,24,48,24,24,12,12,4,4,4,36,24,24,24,4,
12,12,4,36,4,24,18,18,18,18,18,18,18,8,1,6,4,12,4,12,12,12,12,12,12,4,12,12,
12,12,12,18,2,3,4,1,2,4,4,4,4,2,1,12,12,1,2,2,2,4,1,1,2,4,4,2,2,4,1,2,1,1,2,
1],[1,81,18,36,8,12,4,16,162,162,81,18,243,81,72,36,24,36,12,12,216,432,108,
324,72,24,81,81,162,162,162,162,81,6,4,24,16,48,4,16,12,108,216,108,36,216,36,
108,108,81,81,81,144,24,18,24,36,2,24,24,48,24,24,216,24,432,24,144,36,4,54,
48,36,108,108,108,8,16,4,12,81,18,36,108,72,36,36,108,36,2,54,18,18,36,18,36,
36,144,36,18,36,8,36,8,24,12,24,4,24,48,4,12,12,36,18,36,36,36,36,36,18,18,1,
24,12,4,4,12,24,12,12,18,1,2,4,12,12,2,1,3,2,2,1,1,2,2,1,2,1,2,1,1,1,1],[1,81,
54,108,8,12,4,16,486,108,324,243,243,243,216,216,108,72,108,36,36,216,432,108,
324,216,72,81,243,243,162,243,243,486,81,486,486,81,6,4,24,16,48,4,16,12,324,
216,216,648,324,108,648,108,216,108,324,243,243,486,243,144,72,54,72,36,6,72,
72,144,72,72,216,72,432,72,144,108,12,54,144,36,108,108,216,324,8,16,4,12,81,
216,54,108,108,216,108,108,108,108,72,54,216,54,108,108,108,72,108,36,432,108,
36,108,108,24,36,24,72,36,72,12,24,48,12,12,36,54,108,108,108,54,54,108,36,
108,108,108,36,108,108,1,36,72,8,36,36,72,4,12,36,72,72,54,108,1,6,12,36,12,
24,3,4,3,8,12,6,3,3,3,6,1,1,3,3,1,6,6,2,6,3,3,3,1],[1,81,18,36,8,12,4,16,162,
162,81,18,81,243,72,36,24,36,12,12,216,432,108,324,72,24,162,81,81,81,162,162,
162,6,4,24,16,48,4,16,12,108,216,108,36,216,36,108,108,81,81,81,144,24,18,24,
36,2,24,24,48,24,24,216,24,432,24,144,36,4,54,48,36,108,108,108,8,16,4,12,81,
18,36,36,72,36,36,36,108,2,18,54,18,36,18,36,36,144,108,18,36,8,36,8,24,12,24,
4,24,48,4,12,12,36,36,36,18,36,36,36,18,18,1,24,12,4,4,12,24,12,12,18,1,2,4,
12,12,2,1,1,2,2,3,1,1,1,2,2,2,2,1,1,1,1],[1,81,18,72,36,8,12,4,16,162,108,324,
108,81,243,81,72,36,144,24,36,48,24,12,24,12,216,432,108,324,72,72,24,72,162,
162,81,81,162,162,162,162,81,6,4,24,16,48,4,16,12,216,216,216,72,108,36,108,
216,432,36,72,108,108,162,81,81,81,162,144,24,18,24,36,48,2,24,24,8,48,48,24,
24,48,24,24,48,72,216,24,24,432,24,144,48,36,4,48,54,48,36,24,108,108,108,8,
16,4,12,81,36,18,36,108,72,72,36,36,144,72,24,108,12,144,72,12,36,36,36,54,24,
18,36,72,36,72,36,72,36,144,36,36,24,8,36,48,8,8,8,24,12,24,16,4,24,24,48,4,
12,12,36,36,18,36,18,72,36,36,36,36,36,36,36,18,1,12,24,48,24,24,4,12,24,24,
24,12,12,4,18,36,8,1,2,4,12,12,1,3,4,4,4,2,1,1,2,1,2,1,2,2,2,2,2,1,1,2,1,1],[
1,81,18,72,36,8,12,4,16,162,108,324,108,81,81,243,72,36,144,24,36,48,24,12,24,
12,216,432,108,324,72,72,24,72,81,162,81,81,162,162,162,162,162,6,4,24,16,48,
4,16,12,216,216,216,72,108,36,108,216,432,36,72,108,108,162,81,81,162,81,144,
24,18,24,36,48,2,24,24,8,48,48,24,24,48,24,24,48,72,216,24,24,432,24,144,48,
36,4,48,54,48,36,24,108,108,108,8,16,4,12,81,36,18,36,36,72,72,36,36,144,72,
24,36,12,144,72,12,36,108,36,18,24,54,36,72,36,72,36,72,36,144,108,36,24,8,36,
48,8,8,8,24,12,24,16,4,24,24,48,4,12,12,36,36,18,36,36,18,72,36,36,36,36,36,
36,18,1,12,24,48,24,24,4,12,24,24,24,12,12,4,18,36,8,1,2,4,12,12,1,1,4,4,4,2,
3,1,1,1,2,2,2,2,2,2,2,1,1,2,1,1],[1,81,54,36,8,12,4,16,162,108,108,243,81,81,
72,108,24,108,36,36,216,432,108,324,72,24,162,81,81,162,81,162,162,6,4,24,16,
48,4,16,12,108,72,216,324,36,216,108,108,324,81,81,81,144,72,54,72,36,6,72,24,
48,24,24,216,72,432,24,144,36,4,54,48,36,108,108,108,8,16,4,12,81,54,108,36,
216,36,108,36,36,18,72,18,108,36,36,24,36,36,144,36,12,36,36,8,36,8,24,36,24,
12,24,48,12,12,36,18,36,36,36,36,18,54,36,36,36,1,36,24,12,36,24,4,4,36,24,18,
1,6,4,12,12,3,4,1,4,2,1,1,2,2,2,1,1,2,1,1,1,1],[1,81,54,108,8,72,12,4,16,36,
243,108,162,486,162,243,27,108,216,108,72,36,324,36,36,36,216,432,108,216,324,
108,108,108,108,486,243,81,243,162,48,72,24,36,6,24,4,24,16,12,48,4,16,12,324,
162,324,108,324,324,54,54,162,27,54,108,648,54,54,108,108,324,162,162,243,144,
72,54,72,36,36,72,6,216,72,36,12,72,72,36,72,108,108,216,72,36,432,144,72,24,
108,12,72,54,36,36,216,108,108,108,162,108,81,162,27,54,162,81,162,162,162,
162,162,8,12,24,16,8,24,4,24,4,8,12,12,12,16,54,54,108,216,108,108,108,216,
108,36,18,216,108,108,18,54,3,54,36,27,27,54,108,108,108,27,108,36,27,162,81,
36,36,12,12,12,24,36,36,36,36,72,12,24,24,12,36,24,24,12,36,12,36,24,36,48,12,
12,12,24,36,36,54,18,54,27,54,27,108,27,54,27,27,27,27,8,8,4,4,1,8,16,36,18,
72,36,36,36,18,36,6,36,6,6,36,36,36,36,4,18,18,36,6,27,27,27,12,4,12,24,12,24,
4,1,12,24,6,12,18,18,18,18,18,6,12,18,18,4,3,2,3,4,12,3,6,12,6,6,1,18,4,4,4,6,
3,3,3,1,6,6,3,1,1,4,3,3,1,1,1,1],[1,81,108,8,72,12,4,16,36,486,243,216,72,36,
324,36,216,432,108,216,324,108,108,108,108,243,243,81,48,72,24,36,6,24,4,24,
16,12,48,4,16,12,324,324,324,648,243,144,36,36,72,216,36,12,72,72,36,72,108,
108,216,36,432,144,72,24,108,12,72,54,36,36,216,108,108,108,81,8,12,24,16,8,
24,4,24,4,8,12,12,12,16,54,108,108,108,216,108,108,216,108,54,54,108,108,81,
36,36,12,12,12,24,36,36,36,36,72,12,24,24,12,24,24,36,12,36,24,36,48,12,12,24,
36,54,54,36,54,8,8,4,4,1,8,16,72,36,36,36,36,36,36,54,12,4,12,24,12,24,4,1,12,
24,12,9,4,3,12,12,6,9,4,4,4,1,3,3,4,3,1,1],[1,81,108,8,72,12,4,16,36,486,243,
216,72,36,324,36,216,432,108,216,324,108,108,108,108,81,243,243,48,72,24,36,6,
24,4,24,16,12,48,4,16,12,324,324,324,648,243,144,36,36,72,216,36,12,72,72,36,
72,108,108,216,36,432,144,72,24,108,12,72,54,36,36,216,108,108,108,81,8,12,24,
16,8,24,4,24,4,8,12,12,12,16,54,108,108,216,108,216,108,108,54,54,108,108,108,
81,36,36,12,12,12,24,36,36,36,36,72,12,24,24,12,24,24,36,12,36,24,36,48,12,12,
24,36,54,36,54,54,8,8,4,4,1,8,16,72,36,36,36,36,36,36,54,12,4,12,24,12,24,4,1,
12,24,12,9,4,12,12,6,3,9,4,4,4,1,3,3,4,3,1,1],[1,81,54,72,108,8,12,4,16,162,
486,108,108,324,324,108,243,18,243,243,216,216,108,144,72,108,48,24,36,24,36,
216,432,108,324,72,216,72,72,162,81,324,162,324,243,243,162,243,243,162,486,
162,81,162,162,108,486,108,486,81,6,4,24,16,48,4,16,12,216,324,216,108,216,
648,216,72,324,108,36,36,108,648,36,108,432,216,36,72,108,324,108,108,162,162,
162,81,162,81,81,243,243,486,243,162,81,162,144,72,54,72,36,48,6,72,24,8,48,
48,24,72,144,72,72,48,72,216,72,24,432,72,144,48,108,12,48,54,144,36,24,108,
108,108,108,36,216,108,108,108,108,324,108,108,108,108,36,8,16,4,12,81,81,81,
81,81,81,81,216,36,54,108,108,216,72,108,108,144,72,24,108,12,144,72,12,36,
108,72,2,36,54,24,216,54,18,36,72,108,108,72,18,108,72,72,108,36,432,108,36,
108,18,108,108,108,24,24,36,48,8,24,8,72,36,72,16,12,24,24,48,12,12,36,81,36,
54,36,12,108,108,108,36,36,54,54,12,36,36,108,36,18,72,108,108,36,108,36,36,
36,108,36,36,36,18,18,108,18,1,36,12,72,8,48,24,24,12,36,4,4,4,36,72,24,24,4,
12,12,12,36,4,72,72,18,54,18,18,18,36,108,36,18,18,8,1,6,12,12,4,12,12,12,12,
12,12,4,12,36,12,12,24,12,18,2,3,4,3,2,4,4,8,12,4,6,3,12,12,3,3,6,1,2,1,2,2,3,
2,4,3,1,6,4,6,4,2,2,2,4,2,1,6,2,2,1,3,2,3,3,2,1,2,1,1,1,1,1,1,1,1,1],[1,81,54,
108,8,288,12,4,16,144,486,108,324,243,243,243,216,216,108,72,108,1296,36,36,
216,432,108,324,216,72,81,243,243,162,243,243,486,81,486,486,81,192,288,96,
144,6,96,4,24,16,48,48,4,16,12,324,432,216,216,648,324,108,216,108,648,108,
216,216,108,324,243,243,486,243,144,72,54,72,36,6,864,72,72,144,72,72,216,72,
432,72,144,108,432,12,54,144,36,108,432,108,324,324,216,648,324,324,8,48,96,
16,32,96,16,96,4,32,48,12,48,64,81,216,54,108,108,216,108,108,108,108,216,72,
54,216,54,108,108,108,108,72,108,36,432,108,36,108,108,24,36,144,24,72,36,72,
12,144,24,144,48,12,12,144,36,54,108,108,108,54,54,108,36,108,108,108,36,108,
216,108,108,32,32,16,16,1,32,64,81,36,72,8,36,36,72,4,12,36,72,72,54,108,96,1,
48,6,12,48,36,36,36,12,24,16,8,3,4,16,8,3,8,12,6,3,4,16,3,3,6,24,1,1,3,3,1,6,
6,2,12,4,8,6,3,3,3,4,4,8,4,1,1],[1,81,54,216,108,8,288,12,4,16,144,486,486,
108,324,972,324,324,243,54,243,243,216,216,108,432,72,108,144,72,1296,36,72,
36,216,432,108,864,324,216,432,432,216,72,216,486,81,972,486,972,243,243,162,
243,243,486,486,486,81,486,486,324,486,324,486,81,192,288,96,144,6,96,4,24,16,
48,48,4,16,12,648,324,432,216,324,216,648,648,216,324,108,1296,108,108,216,
324,108,648,108,108,1296,216,216,108,216,108,324,324,324,486,486,486,243,486,
243,243,243,243,486,243,486,243,486,144,72,54,72,144,36,144,6,864,72,72,24,
144,144,72,72,144,72,72,144,432,216,216,72,72,432,72,144,144,96,108,432,48,12,
144,54,144,36,72,864,432,108,432,324,108,324,324,324,108,108,216,648,324,324,
324,324,324,324,648,324,324,324,324,324,108,8,48,96,16,32,96,16,96,4,32,48,12,
48,64,81,243,243,243,243,243,243,216,108,54,108,108,216,216,108,108,432,432,
216,72,108,36,432,216,432,36,108,108,216,72,6,108,54,72,216,54,108,54,108,216,
108,108,216,54,108,216,72,108,36,432,108,36,108,54,108,324,324,324,324,324,
144,144,48,48,48,96,144,72,24,36,144,144,24,24,96,96,24,72,36,96,72,48,12,144,
48,72,24,144,48,12,12,48,96,144,36,243,108,54,108,36,108,108,108,108,108,54,
54,36,108,108,108,108,36,54,216,108,108,108,108,108,108,36,108,108,108,108,
216,108,54,108,54,108,54,32,32,16,16,1,32,64,81,36,36,72,8,144,144,72,72,36,
144,36,12,144,12,12,36,72,72,72,144,4,36,36,12,36,12,72,72,54,54,54,54,108,54,
108,108,108,54,54,48,16,48,96,24,96,16,1,48,96,6,12,48,81,36,36,12,36,36,36,
36,36,36,36,12,36,36,12,36,24,36,16,54,6,8,3,4,16,8,3,48,6,12,48,12,8,12,12,6,
3,4,36,36,36,36,16,16,16,3,3,24,6,24,1,6,1,6,6,3,12,6,12,3,1,6,12,6,12,2,12,6,
6,12,4,4,8,16,6,3,6,6,6,3,12,3,6,3,3,6,3,6,3,4,4,4,8,4,4,3,3,1,3,3,3,3,4,4,4,
3,1,1]],
[1,2,2,2,2,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,
9,9,9,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
18,18,18,18,18,18,18,18,18,18,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,27,27,27,27,27,27,27,27,27,27,27,27,27,27,32,32,32,32,32,32,
32,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,48,48,48,
48,48,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,
54,54,54,54,54,54,54,54,54,54,54,64,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,81,81,81,
81,81,81,81,96,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,
108,108,108,108,108,108,108,108,108,108,108,108,108,144,144,144,144,144,144,
144,144,144,144,144,162,162,162,162,162,162,162,162,162,162,162,162,162,192,
216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,216,243,288,
324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,324,432,
432,432,432,486,486,486,648,648,648,648,648,648,648,648,648,648,648,648,648,
648,648,648,648,648,648,648,648,648,648,648,648,648,972,972,972,1296,1296,
1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1296,1944,1944,
1944,1944,1944,1944,2592,2592,2592,2592,2592,2592,2592,3888,3888,3888,5184,
7776,15552],
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415,298,298,329,314,382,248,412,377,348,402,92,435,397,436,329,227,376,163,
262,317,227,219,334,409,317,206,396,112,205,114,298,298,343,298,298,205,203,
209,396,209,206,258,203,262,203,396,341,290,389,353,491,388,500,453,469,423,
431,499,469,472,183,262,231,329,258,334,181,187,317,258,377,92,377,377,329,
258,376,174,382,382,101,314,311,382,317,376,262,262,262,205,206,209,298,209,
298,298,298,298,203,298,205,298,206,363,410,415,397,353,434,348,491,132,409,
397,453,348,348,402,409,346,412,412,361,219,317,317,402,402,252,409,353,348,
388,379,219,423,472,362,415,360,437,397,163,227,379,227,258,376,261,260,258,
376,382,329,175,262,262,261,262,258,262,182,262,259,262,258,258,377,488,423,
388,469,440,388,469,388,498,438,423,483,423,414,396,298,298,298,298,298,298,
314,372,415,373,378,317,325,373,379,219,220,323,402,379,435,225,317,227,436,
382,380,329,412,491,372,415,397,334,415,376,415,377,317,382,379,317,415,379,
317,409,379,436,252,379,435,377,415,379,258,259,260,261,262,356,349,423,426,
423,388,353,397,461,435,349,348,453,455,392,388,453,412,436,388,409,430,483,
356,423,402,445,353,423,473,476,423,388,363,435,298,382,415,375,436,379,373,
379,378,377,415,415,435,376,374,372,379,434,415,317,379,376,373,377,379,378,
437,380,379,380,382,329,372,415,376,415,379,415,440,439,469,469,503,438,414,
396,436,436,412,488,348,349,402,397,435,353,435,483,356,483,473,435,409,402,
397,363,498,436,435,483,436,473,409,412,415,415,415,415,376,415,378,379,380,
415,415,423,469,426,386,453,388,469,503,426,392,491,472,423,396,436,434,483,
436,436,435,437,435,435,435,473,435,435,476,436,445,436,469,415,491,489,501,
498,468,488,501,423,491,473,426,483,488,483,475,493,501,498,434,435,436,437,
469,469,469,501,501,443,493,445,503,496,503,491,495,501,476,491,483,501,503,
493,473,493,473,502,476,495,496,483,498,498,488,469,495,501,493,491,496,501,
476,501,496,501,501,495,501,491,501,498,499,498,488,498,500,501,501,503,501,
501,501,501,498,499,500,501,503,503],
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7,8,1,11,11,1,8,1,1,2,3,2,3,1,1,1,2,2,1,1,1,1,1,2,3,2,3,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,8,1,23,1,9,8,8,9,9,9,8,11,1,8,23,1,14,6,1,9,10,6,14,9,8,1,8,8,1,22,
21,3,2,3,2,1,2,2,2,2,22,2,21,75,9,1,9,70,73,10,71,6,8,8,74,10,10,9,8,6,6,6,9,
11,1,74,8,9,77,8,79,10,72,1,9,76,80,8,71,8,78,8,7,11,80,10,3,9,14,66,9,97,25,
6,23,28,8,97,28,25,8,103,8,47,3,25,9,28,1,10,10,1,10,10,10,1,1,10,1,1,10,10,2,
22,22,21,21,19,19,6,71,71,71,78,74,73,71,80,70,75,78,74,80,71,79,8,76,71,9,73,
23,80,71,71,71,74,8,71,14,1,8,9,9,80,74,71,80,74,80,80,71,77,80,71,8,71,80,25,
184,170,97,28,201,190,76,195,76,72,70,8,80,200,73,10,74,80,193,72,74,6,9,72,8,
74,71,78,76,9,189,79,192,71,197,76,72,75,8,51,25,71,131,131,165,159,165,78,
126,71,71,131,239,131,159,80,129,71,74,165,97,159,28,165,161,161,129,80,73,
126,84,159,71,106,71,80,71,75,75,75,10,1,10,75,203,71,71,189,189,192,190,74,
74,200,199,71,71,201,200,71,200,200,200,197,195,197,197,71,200,197,197,80,80,
159,159,131,131,239,126,214,165,230,71,126,76,338,195,189,74,72,339,340,197,
193,71,80,192,343,197,315,285,292,131,200,324,131,285,200,292,285,200,197,292,
189,197,75,212,71,364,340,197,347,347,340,339,340,197,338,200,189,200,340,340,
340,364,398,285,292,403,338,340,339,390,340,417,390,347,390,340,390,340,340,
390,433,340,285,340,340,390,292,340,393,340,364,390,390,393,433,364,347,414,
422,340,390,393,432,390,433,390,432,390,390,422,390,393,390,419,448,433,428,
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AFLT( "(A9x3):2","A12", [ 1, 2, 2, 4, 4, 5, 6, 5, 6, 8, 8, 7, 10, 17, 19, 9,
22, 10, 16, 22, 17, 19, 16, 24, 21, 11, 23, 26, 38, 40, 28, 28, 38, 32, 32,
39, 38, 40, 42, 44, 29, 31, 35, 42, 31, 28, 32, 39, 29, 35, 34, 37, 44, 37,
34, 36, 45, 70, 53, 75, 67, 78, 47, 98, 67, 69, 112, 70, 47, 76, 75, 112,
77, 53, 78, 75, 69, 77, 98, 52, 110, 97, 90, 91, 92, 46, 103, 71, 114, 93,
115, 115, 122, 122, 119, 122, 121, 121, 118, 120, 119, 120, 116, 117, 123,
124, 125, 126, 131, 131, 127, 128, 128, 147, 157, 162, 151, 160, 153, 174,
169, 162, 159, 157, 162, 159, 146, 158, 178, 183, 147, 160, 158, 152, 183,
180, 172, 134, 136, 146, 136, 148, 139, 135, 147, 138, 138, 149, 140, 183,
182, 157, 178, 162, 158, 151, 160, 152, 180, 174, 171, 173, 181, 161, 170,
177, 161, 170, 159, 172, 150, 184, 177, 137, 143, 187, 186, 186, 188, 188,
189, 230, 286, 192, 287, 285, 203, 282, 308, 226, 286, 285, 230, 190, 284,
209, 309, 287, 283, 322, 323, 229, 225, 281, 227, 208, 247, 210, 288, 327,
331, 335, 372, 350, 365, 350, 350, 365, 338, 351, 342, 351, 372, 338, 350,
342, 352, 352, 364, 349, 356, 368, 374, 364, 349, 341, 354, 346, 369, 364,
358, 355, 356, 341, 365, 349, 374, 354, 357, 348, 355, 348, 357, 358, 345,
347, 368, 346, 369, 347, 367, 366, 344, 367, 343, 366, 370, 340, 371, 375,
382, 384, 385, 381, 387, 384, 385, 383, 388, 376, 376, 377, 378, 389, 391,
390, 485, 419, 436, 425, 487, 456, 446, 467, 452, 468, 468, 437, 470, 481,
505, 417, 422, 421, 472, 461, 499, 467, 471, 502, 441, 494, 456, 494, 451,
461, 471, 502, 499, 485, 450, 452, 496, 446, 449, 487, 496, 393, 393, 417,
396, 485, 484, 394, 411, 441, 461, 437, 450, 394, 422, 411, 466, 454, 413,
392, 397, 419, 400, 397, 456, 446, 436, 467, 452, 487, 408, 425, 415, 415,
408, 469, 453, 414, 494, 499, 502, 496, 481, 503, 498, 468, 451, 505, 449,
471, 470, 438, 506, 480, 489, 455, 497, 435, 482, 486, 508, 474, 398, 420,
399, 433, 475, 477, 476, 510, 510, 512, 512, 513, 513, 511, 515, 516, 520,
519, 514, 521, 517, 523, 518, 522, 526, 531, 527, 533, 530, 527, 529, 531,
533, 528, 532, 534, 640, 639, 680, 585, 586, 702, 559, 701, 558, 662, 690,
541, 591, 663, 607, 708, 592, 773, 766, 778, 739, 745, 782, 757, 746, 773,
739, 745, 776, 738, 739, 757, 718, 736, 736, 719, 743, 726, 762, 729, 772,
766, 773, 765, 772, 776, 763, 764, 774, 774, 769, 770, 730, 732, 737, 738,
742, 749, 747, 760, 781, 768, 726, 727, 729, 728, 730, 731, 732, 733, 749,
757, 781, 756, 748, 782, 747, 746, 768, 748, 760, 734, 759, 758, 761, 720,
793, 784, 790, 785, 788, 783, 791, 794, 792, 788, 786, 787, 785, 800, 797,
797, 796, 795, 799, 798, 801, 889, 893, 902, 838, 813, 844, 870, 910, 869,
900, 901, 804, 871, 916, 911, 883, 830, 841, 863, 843, 842, 902, 901, 893,
900, 841, 830, 802, 840, 826, 875, 893, 889, 902, 904, 911, 871, 825, 907,
880, 878, 863, 810, 860, 818, 820, 838, 844, 870, 900, 910, 901, 888, 887,
869, 883, 916, 915, 879, 886, 908, 914, 909, 885, 882, 890, 881, 906, 905,
920, 919, 839, 921, 922, 923, 942, 942, 929, 929, 932, 946, 929, 937, 942,
938, 946, 938, 937, 943, 940, 932, 947, 947, 943, 940, 935, 935, 941, 948,
936, 936, 941, 948, 939, 954, 955, 953, 956, 962, 931, 930, 961, 951, 957,
949, 960, 952, 958, 950, 959, 964, 967, 966, 989, 979, 991, 975, 978, 976,
987, 984, 982, 985, 983, 986, 991, 979, 989, 980, 990, 988, 992, 994, 1089,
1023, 1079, 1022, 1078, 1102, 1080, 1205, 1181, 1184, 1194, 1203, 1134,
1138, 1159, 1165, 1193, 1219, 1181, 1223, 1154, 1183, 1211, 1217, 1156,
1163, 1182, 1183, 1152, 1190, 1215, 1213, 1138, 1134, 1159, 1162, 1120,
1168, 1168, 1124, 1132, 1219, 1152, 1199, 1202, 1180, 1129, 1209, 1223,
1215, 1221, 1225, 1133, 1189, 1200, 1154, 1217, 1211, 1190, 1201, 1208,
1213, 1221, 1225, 1172, 1131, 1121, 1175, 1126, 1171, 1168, 1169, 1120,
1159, 1203, 1124, 1166, 1128, 1180, 1162, 1129, 1130, 1172, 1170, 1156,
1121, 1205, 1165, 1131, 1175, 1164, 1125, 1163, 1126, 1171, 1127, 1193,
1178, 1207, 1179, 1230, 1142, 1229, 1149, 1236, 1232, 1235, 1234, 1233,
1238, 1237, 1239, 1240, 1242, 1244, 1245, 1241, 1243, 1250, 1248, 1253,
1252, 1254, 1386, 1346, 1332, 1324, 1285, 1318, 1358, 1280, 1363, 1386,
1349, 1388, 1353, 1390, 1385, 1348, 1333, 1264, 1300, 1262, 1304, 1361,
1379, 1336, 1373, 1354, 1372, 1274, 1275, 1383, 1374, 1381, 1384, 1418,
1412, 1422, 1418, 1418, 1412, 1408, 1408, 1409, 1421, 1400, 1404, 1412,
1421, 1427, 1400, 1404, 1427, 1411, 1426, 1417, 1422, 1417, 1407, 1406,
1423, 1411, 1403, 1424, 1415, 1424, 1415, 1416, 1416, 1430, 1405, 1410,
1428, 1429, 1446, 1435, 1435, 1432, 1432, 1445, 1445, 1434, 1471, 1466,
1451, 1455, 1465, 1454, 1470, 1468, 1452, 1457, 1458, 1459, 1469, 1460,
1461, 1464, 1462, 1463, 1471, 1472, 1474, 1476, 1475, 1525, 1600, 1607,
1591, 1580, 1606, 1599, 1589, 1546, 1555, 1556, 1558, 1585, 1614, 1613,
1541, 1587, 1612, 1616, 1547, 1557, 1560, 1542, 1571, 1613, 1616, 1546,
1555, 1563, 1586, 1614, 1582, 1612, 1546, 1599, 1555, 1562, 1589, 1606,
1544, 1590, 1594, 1605, 1531, 1535, 1563, 1545, 1534, 1547, 1600, 1556,
1559, 1607, 1557, 1591, 1558, 1560, 1603, 1621, 1618, 1625, 1627, 1627,
1629, 1626, 1629, 1634, 1632, 1631, 1633, 1636, 1630, 1637, 1638, 1635,
1640, 1639, 1645, 1641, 1642, 1643, 1648, 1648, 1650, 1647, 1647, 1649,
1652, 1655, 1655, 1651, 1736, 1710, 1747, 1746, 1748, 1669, 1702, 1744,
1745, 1738, 1661, 1717, 1721, 1798, 1770, 1793, 1773, 1796, 1785, 1770,
1793, 1798, 1786, 1776, 1796, 1776, 1797, 1792, 1792, 1773, 1789, 1768,
1789, 1786, 1764, 1766, 1769, 1785, 1765, 1767, 1790, 1790, 1774, 1777,
1800, 1783, 1780, 1778, 1779, 1813, 1808, 1809, 1808, 1809, 1804, 1802,
1810, 1806, 1820, 1826, 1818, 1829, 1832, 1822, 1817, 1827, 1830, 1831,
1824, 1823, 1833, 1835, 1887, 1884, 1903, 1872, 1884, 1892, 1890, 1869,
1889, 1891, 1888, 1851, 1857, 1881, 1868, 1883, 1867, 1862, 1887, 1882,
1927, 1917, 1920, 1917, 1914, 1920, 1926, 1922, 1925, 1919, 1916, 1928,
1929, 1932, 1931, 1934, 1949, 1949, 1953, 1943, 1953, 1943, 1954, 1947,
1947, 1940, 1951, 1945, 1941, 1940, 1951, 1952, 1959, 1956, 1946, 1955,
1984, 2000, 2030, 2015, 2027, 2023, 2030, 2013, 2025, 2021, 2008, 2021,
2019, 2025, 2020, 2009, 2027, 2023, 2006, 2036, 2035, 2033, 2034, 2038,
2037, 2045, 2041, 2049, 2048, 2043, 2052, 2053, 2055, 2054, 2056, 2057,
2059, 2058, 2060, 2064, 2063, 2093, 2107, 2065, 2089, 2109, 2106, 2104,
2105, 2134, 2138, 2138, 2133, 2118, 2137, 2137, 2121, 2130, 2140, 2141,
2142, 2169, 2155, 2155, 2180, 2180, 2178, 2178, 2177, 2179, 2174, 2176,
2168, 2173, 2172, 2175, 2163, 2164, 2191, 2184, 2183, 2218, 2217, 2227,
2215, 2226, 2233, 2235, 2237, 2239, 2238, 2241, 2241, 2240, 2246, 2242,
2246, 2244, 2244, 2243, 2268, 2277, 2298, 2294, 2297, 2299, 2309, 2315,
2329, 2319, 2328, 2307, 2325, 2326, 2327, 2303, 2321, 2324, 2330, 2336,
2337, 2334, 2335, 2345, 2346, 2347, 2355, 2359, 2360, 2373, 2373, 2367,
2364, 2367, 2364, 2368, 2372, 2369, 2366, 2390, 2407, 2411, 2412, 2416,
2425, 2427, 2435, 2435, 2431, 2430, 2432, 2437, 2440, 2440, 2441, 2447,
2446, 2447, 2460, 2472, 2474, 2481, 2490, 2489, 2488, 2495, 2505, 2507,
2512, 2519, 2523, 2529, 2532, 2533 ]);
AFLT( "(A7xA5):2","A12", [ 1, 2, 2, 2, 4, 4, 5, 5, 6, 6, 8, 10, 10, 17, 17,
19, 9, 22, 17, 16, 10, 16, 22, 19, 24, 9, 22, 16, 19, 24, 11, 23, 21, 21,
26, 27, 26, 28, 38, 28, 38, 32, 32, 39, 40, 38, 28, 38, 28, 32, 38, 32, 39,
29, 35, 40, 35, 40, 42, 44, 29, 35, 31, 37, 34, 45, 70, 53, 75, 53, 75, 67,
78, 70, 75, 67, 78, 90, 47, 98, 69, 112, 47, 70, 76, 98, 75, 77, 47, 98,
52, 97, 67, 69, 112, 69, 112, 110, 110, 78, 77, 91, 76, 77, 91, 92, 115,
122, 115, 122, 121, 131, 131, 131, 127, 128, 130, 127, 128, 128, 157, 157,
162, 162, 159, 146, 178, 162, 147, 158, 183, 147, 158, 183, 151, 160, 152,
180, 159, 160, 172, 149, 147, 147, 151, 174, 173, 157, 162, 162, 160, 157,
162, 159, 146, 178, 162, 158, 183, 151, 160, 152, 180, 157, 159, 160, 172,
146, 158, 152, 178, 180, 183, 172, 150, 184, 174, 173, 148, 171, 181, 182,
134, 136, 136, 139, 138, 135, 134, 136, 148, 139, 153, 185, 174, 171, 169,
179, 137, 143, 145, 161, 170, 177, 187, 186, 188, 188, 189, 230, 230, 286,
230, 229, 192, 287, 287, 225, 287, 285, 286, 285, 203, 308, 282, 226, 190,
209, 286, 284, 309, 209, 208, 285, 227, 323, 203, 284, 309, 308, 227, 323,
282, 283, 283, 226, 281, 322, 350, 338, 350, 350, 350, 372, 342, 372, 342,
352, 352, 365, 356, 374, 364, 349, 341, 354, 350, 365, 372, 338, 342, 351,
364, 349, 348, 357, 355, 382, 384, 385, 381, 384, 383, 382, 387, 385, 388,
381, 387, 384, 383, 385, 388, 376, 377, 378, 379, 376, 376, 377, 378, 391,
390, 389, 441, 456, 494, 456, 494, 468, 451, 468, 467, 461, 499, 471, 502,
461, 485, 485, 437, 450, 499, 446, 446, 505, 449, 467, 471, 502, 436, 452,
487, 452, 470, 496, 487, 496, 481, 484, 485, 436, 487, 419, 425, 469, 453,
456, 446, 467, 452, 485, 487, 456, 446, 467, 452, 489, 468, 422, 417, 441,
494, 468, 451, 461, 471, 499, 502, 461, 437, 450, 499, 505, 449, 468, 471,
502, 470, 496, 481, 437, 470, 438, 506, 505, 480, 506, 481, 455, 441, 494,
451, 450, 496, 449, 455, 497, 466, 503, 454, 498, 393, 417, 393, 396, 394,
411, 422, 394, 411, 413, 417, 422, 421, 408, 415, 392, 397, 400, 393, 396,
394, 411, 488, 466, 447, 406, 472, 448, 504, 495, 398, 407, 509, 510, 524,
526, 525, 531, 531, 530, 527, 533, 533, 528, 527, 531, 533, 530, 528, 529,
532, 534, 559, 640, 701, 640, 701, 585, 662, 639, 680, 586, 702, 639, 680,
586, 702, 717, 773, 773, 776, 739, 745, 745, 738, 739, 766, 766, 737, 745,
776, 738, 773, 776, 738, 773, 776, 738, 763, 764, 764, 762, 765, 774, 774,
772, 770, 772, 769, 742, 726, 729, 730, 782, 757, 746, 749, 747, 781, 768,
773, 739, 745, 757, 726, 762, 729, 772, 766, 765, 778, 771, 736, 718, 719,
743, 726, 729, 734, 748, 727, 728, 727, 728, 793, 784, 790, 785, 788, 783,
793, 791, 785, 786, 784, 794, 788, 787, 790, 792, 783, 791, 794, 792, 785,
786, 788, 787, 795, 796, 799, 800, 798, 797, 801, 893, 893, 911, 870, 900,
900, 883, 871, 916, 902, 901, 902, 889, 901, 910, 889, 904, 893, 902, 889,
888, 813, 870, 910, 910, 887, 900, 901, 838, 844, 869, 893, 902, 900, 901,
804, 863, 830, 841, 911, 883, 871, 908, 916, 914, 871, 825, 907, 878, 880,
916, 878, 909, 885, 886, 911, 883, 908, 914, 907, 882, 909, 915, 880, 915,
879, 886, 830, 802, 826, 841, 840, 875, 802, 818, 810, 810, 820, 863, 860,
830, 826, 841, 804, 840, 875, 821, 805, 863, 860, 876, 843, 842, 845, 828,
903, 927, 927, 926, 929, 942, 942, 929, 938, 937, 946, 965, 987, 989, 988,
989, 988, 982, 985, 979, 991, 991, 980, 979, 989, 991, 982, 980, 987, 988,
985, 978, 983, 984, 986, 992, 975, 976, 977, 975, 993, 990, 981, 967, 966,
966, 968, 972, 971, 994, 1089, 1119, 1219, 1154, 1211, 1156, 1181, 1223,
1183, 1217, 1181, 1183, 1182, 1183, 1159, 1182, 1133, 1132, 1189, 1209,
1200, 1183, 1152, 1190, 1215, 1213, 1154, 1152, 1190, 1213, 1215, 1219,
1223, 1217, 1211, 1199, 1201, 1221, 1221, 1202, 1208, 1225, 1225, 1120,
1159, 1168, 1168, 1203, 1124, 1162, 1180, 1129, 1165, 1205, 1172, 1121,
1131, 1175, 1193, 1219, 1181, 1223, 1134, 1138, 1159, 1162, 1120, 1168,
1159, 1203, 1124, 1132, 1220, 1180, 1209, 1184, 1194, 1210, 1197, 1224,
1203, 1168, 1120, 1124, 1180, 1129, 1178, 1166, 1169, 1128, 1130, 1173,
1166, 1122, 1174, 1236, 1232, 1235, 1234, 1236, 1233, 1232, 1237, 1235,
1238, 1234, 1233, 1238, 1237, 1248, 1246, 1249, 1247, 1250, 1251, 1252,
1253, 1254, 1386, 1349, 1386, 1388, 1344, 1386, 1388, 1361, 1379, 1332,
1288, 1346, 1324, 1285, 1353, 1390, 1385, 1383, 1353, 1385, 1390, 1383,
1280, 1363, 1318, 1358, 1280, 1318, 1346, 1264, 1333, 1333, 1324, 1363,
1358, 1285, 1272, 1317, 1287, 1360, 1365, 1397, 1394, 1398, 1397, 1398,
1396, 1392, 1399, 1418, 1400, 1412, 1412, 1422, 1418, 1404, 1408, 1421,
1427, 1417, 1407, 1407, 1458, 1471, 1472, 1471, 1472, 1463, 1461, 1471,
1461, 1458, 1472, 1463, 1454, 1462, 1469, 1464, 1465, 1459, 1470, 1460,
1451, 1466, 1455, 1452, 1468, 1457, 1453, 1467, 1456, 1466, 1451, 1455,
1473, 1435, 1446, 1432, 1445, 1445, 1432, 1434, 1432, 1445, 1434, 1442,
1443, 1444, 1476, 1474, 1475, 1530, 1614, 1585, 1613, 1607, 1541, 1612,
1587, 1616, 1547, 1557, 1606, 1546, 1555, 1542, 1571, 1586, 1582, 1613,
1616, 1614, 1612, 1546, 1589, 1555, 1599, 1563, 1556, 1558, 1600, 1591,
1585, 1580, 1564, 1606, 1546, 1555, 1563, 1546, 1589, 1599, 1555, 1606,
1544, 1590, 1605, 1594, 1584, 1539, 1544, 1545, 1565, 1604, 1605, 1599,
1589, 1590, 1594, 1562, 1531, 1535, 1535, 1534, 1533, 1561, 1625, 1625,
1644, 1646, 1639, 1655, 1652, 1656, 1654, 1653, 1651, 1648, 1647, 1647,
1649, 1747, 1735, 1736, 1736, 1762, 1756, 1762, 1763, 1770, 1776, 1792,
1768, 1773, 1796, 1786, 1793, 1798, 1786, 1789, 1789, 1764, 1766, 1789,
1768, 1788, 1830, 1830, 1817, 1824, 1832, 1831, 1822, 1823, 1818, 1826,
1829, 1827, 1828, 1825, 1819, 1826, 1818, 1829, 1813, 1805, 1807, 1808,
1808, 1809, 1802, 1806, 1804, 1809, 1820, 1810, 1808, 1809, 1802, 1806,
1804, 1810, 1820, 1835, 1834, 1903, 1887, 1884, 1900, 1891, 1884, 1888,
1884, 1869, 1889, 1892, 1890, 1891, 1888, 1892, 1869, 1868, 1890, 1889,
1851, 1872, 1872, 1881, 1881, 1877, 1878, 1855, 1908, 1907, 1907, 1931,
1959, 1957, 1958, 1946, 1956, 1955, 1943, 1953, 1949, 1940, 1951, 1947,
1951, 1947, 1945, 1941, 1947, 1940, 1951, 1945, 1941, 1948, 1952, 1944,
1934, 2003, 2005, 2004, 2030, 2013, 2008, 2019, 2025, 2021, 2021, 2025,
2008, 2007, 2018, 2006, 2053, 2052, 2051, 2052, 2042, 2041, 2038, 2049,
2048, 2037, 2043, 2045, 2041, 2038, 2049, 2037, 2045, 2048, 2043, 2061,
2058, 2063, 2107, 2107, 2093, 2098, 2112, 2111, 2113, 2114, 2113, 2111,
2114, 2147, 2192, 2183, 2191, 2184, 2180, 2166, 2178, 2178, 2174, 2176,
2179, 2179, 2177, 2163, 2177, 2178, 2179, 2174, 2176, 2168, 2173, 2175,
2172, 2163, 2164, 2165, 2182, 2155, 2169, 2213, 2214, 2217, 2231, 2227,
2215, 2227, 2233, 2233, 2238, 2244, 2243, 2247, 2241, 2279, 2278, 2281,
2280, 2281, 2278, 2280, 2282, 2330, 2305, 2329, 2303, 2321, 2315, 2319,
2318, 2329, 2328, 2315, 2307, 2325, 2326, 2327, 2303, 2321, 2324, 2322,
2304, 2309, 2301, 2313, 2341, 2345, 2350, 2362, 2369, 2370, 2376, 2366,
2364, 2367, 2373, 2389, 2389, 2391, 2390, 2407, 2411, 2409, 2407, 2403,
2420, 2417, 2419, 2433, 2431, 2430, 2432, 2435, 2428, 2440, 2441, 2459,
2452, 2458, 2458, 2454, 2460, 2472, 2466, 2474, 2473, 2475, 2476, 2479,
2484, 2490, 2488, 2489, 2496, 2498, 2501, 2505, 2504, 2509, 2511, 2513,
2521, 2528 ]);
AFLT( "3^4:2^3.S4","A12", [ 1, 4, 2, 4, 3, 7, 7, 6, 5, 8, 8, 24, 20, 10, 16,
21, 14, 19, 17, 22, 25, 25, 18, 43, 38, 44, 33, 40, 34, 32, 44, 29, 31, 28,
36, 37, 32, 36, 35, 39, 37, 34, 41, 30, 42, 113, 94, 78, 89, 88, 99, 63,
68, 82, 81, 113, 111, 69, 53, 112, 89, 75, 85, 73, 85, 95, 126, 124, 124,
119, 115, 125, 116, 122, 121, 123, 120, 117, 119, 118, 170, 155, 141, 156,
180, 164, 168, 172, 159, 162, 167, 177, 182, 169, 144, 152, 138, 176, 183,
157, 177, 175, 140, 158, 161, 147, 174, 181, 153, 336, 333, 287, 324, 240,
324, 320, 295, 232, 262, 294, 332, 234, 337, 348, 350, 372, 365, 346, 344,
367, 338, 371, 358, 354, 341, 366, 357, 352, 359, 363, 361, 360, 368, 369,
374, 349, 364, 356, 347, 353, 346, 369, 375, 373, 368, 340, 339, 355, 342,
362, 343, 351, 371, 370, 345, 370, 487, 456, 425, 479, 502, 408, 494, 473,
434, 445, 503, 415, 444, 451, 459, 414, 472, 478, 490, 452, 471, 492, 511,
517, 522, 513, 516, 523, 515, 521, 510, 519, 514, 512, 518, 520, 544, 683,
711, 712, 684, 665, 661, 779, 743, 766, 745, 722, 757, 759, 744, 756, 760,
748, 758, 749, 725, 737, 760, 781, 761, 736, 774, 723, 735, 755, 718, 742,
721, 746, 780, 721, 732, 769, 778, 782, 773, 751, 747, 770, 753, 768, 750,
767, 739, 754, 724, 740, 777, 719, 752, 900, 925, 924, 869, 898, 958, 957,
953, 955, 949, 960, 931, 946, 934, 940, 951, 948, 937, 933, 956, 962, 935,
944, 942, 959, 945, 936, 932, 952, 950, 947, 939, 931, 941, 929, 938, 930,
961, 954, 943, 1097, 1211, 1187, 1139, 1134, 1145, 1141, 1146, 1228, 1218,
1195, 1181, 1135, 1126, 1138, 1140, 1191, 1150, 1189, 1193, 1148, 1171,
1141, 1212, 1147, 1144, 1151, 1143, 1198, 1227, 1217, 1167, 1140, 1184,
1163, 1194, 1192, 1200, 1242, 1241, 1240, 1244, 1239, 1245, 1243, 1278,
1418, 1421, 1414, 1401, 1416, 1428, 1424, 1422, 1426, 1405, 1419, 1409,
1429, 1403, 1408, 1411, 1413, 1415, 1417, 1430, 1400, 1427, 1423, 1402,
1412, 1404, 1420, 1425, 1576, 1574, 1580, 1572, 1560, 1588, 1619, 1581,
1620, 1598, 1587, 1637, 1631, 1632, 1635, 1629, 1638, 1630, 1626, 1634,
1633, 1627, 1628, 1636, 1720, 1773, 1781, 1775, 1793, 1798, 1774, 1782,
1799, 1795, 1797, 1776, 1794, 1772, 1770, 1792, 1771, 1796, 1833, 1902,
1927, 1925, 1914, 1917, 1924, 1923, 1913, 1929, 1926, 1920, 1928, 1919,
1918, 1921, 1916, 1915, 1912, 1922, 2031, 2029, 2030, 2032, 2056, 2055,
2054, 2122, 2128, 2141, 2127, 2135, 2117, 2132, 2116, 2133, 2131, 2123,
2140, 2121, 2139, 2120, 2118, 2126, 2138, 2129, 2137, 2119, 2134, 2125,
2124, 2136, 2130, 2235, 2236, 2237, 2291, 2290, 2287, 2294, 2296, 2285,
2298, 2289, 2292, 2286, 2288, 2295, 2284, 2293, 2283, 2355, 2358, 2359,
2356, 2360, 2357, 2397, 2395, 2392, 2396, 2393, 2394, 2398, 2425, 2423,
2424, 2443, 2461, 2491 ]);
#############################################################################
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##
#E