GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
#############################################################################
##
#W tm2s62m3.tom GAP table of marks library Thomas Merkwitz
##
#H @(#)$Id: tm2s62m3.tom,v 4.2 2001/07/05 06:51:20 gap Exp $
##
#Y Copyright (C) 1997, Lehrstuhl D fuer Mathematik, RWTH Aachen, Germany
##
## This file contains the table of marks of the third maximal subgroup of the
## ATLAS group $2.S6(2)$
##
#H tomlib history
#H --------------
#H $Log: tm2s62m3.tom,v $
#H Revision 4.2 2001/07/05 06:51:20 gap
#H first revision for tomlib
#H
#H
#H tom history (GAP 4)
#H -------------------
#H (Rev. 4.2 of tomlib coincides with Rev. 4.1 of tom in GAP 4)
#H
#H RCS file: /gap/CVS/GAP/4.0/tom/tm2s62m3.tom,v
#H Working file: tm2s62m3.tom
#H head: 4.1
#H branch:
#H locks: strict
#H access list:
#H symbolic names:
#H GAP4R2: 4.1.0.10
#H GAP4R2PRE2: 4.1.0.8
#H GAP4R2PRE1: 4.1.0.2
#H GAP4R1: 4.1.0.6
#H GAP4B5: 4.1.0.4
#H dec16-98b: 4.1
#H GAP4b4: 4.1
#H version-14-apr: 4.1
#H version-15-jun: 4.1
#H keyword substitution: kv
#H total revisions: 2; selected revisions: 2
#H description:
#H ----------------------------
#H revision 4.1
#H date: 1997/11/20 11:18:41; author: gap; state: Exp; lines: +2 -2
#H changed revision number to 4.1
#H ----------------------------
#H revision 1.1
#H date: 1997/11/17 12:29:53; author: gap; state: Exp;
#H added new table of marks library file
#H ==========================================================================
#H
Revision.tm2s62m3_tom :=
"@(#)$Id: tm2s62m3.tom,v 4.2 2001/07/05 06:51:20 gap Exp $";
SetActualLibFileName("tm2s62m3");
LIBTOM( "2.(2^5:S6)",
[[1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,2,10],[1,2,3,11],[1,2,
12],[1,2,13],[1,2,14],[1,2,4,15],[1,2,5,16],[1,3,17],[1,3,18],[1,3,19],[1,2,6,
20],[1,2,21],[1,3,22],[1,2,7,23],[1,3,4,24],[1,3,6,25],[1,3,26],[1,3,5,27],[1,
3,7,28],[1,7,29],[1,4,6,7,30],[1,5,6,7,31],[1,6,7,32],[1,3,6,33],[1,4,5,7,
34],[1,35],[1,2,8,36],[1,2,9,37],[1,6,8,38],[1,6,8,39],[1,3,8,40],[1,4,9,41],[
1,5,9,42],[1,7,9,43],[1,7,8,44],[1,7,9,45],[1,5,9,46],[1,4,9,47],[1,2,3,10,11,
12,48],[1,2,12,14,49],[1,2,12,13,50],[1,2,3,11,17,51],[1,2,12,52],[1,2,10,13,
14,53],[1,3,18,54],[1,2,3,11,13,14,55],[1,2,3,11,12,56],[1,2,12,57],[1,2,3,11,
12,58],[1,2,21,59],[1,2,12,60],[1,2,21,61],[1,2,4,5,10,15,16,62],[1,2,3,11,22,
63],[1,2,6,12,20,64],[1,3,18,19,65],[1,2,3,6,11,20,25,66],[1,2,3,11,18,19,
67],[1,2,3,5,11,16,27,68],[1,2,3,4,11,15,24,69],[1,2,3,7,11,23,28,70],[1,2,6,
10,20,71],[1,2,3,11,21,72],[1,3,5,17,27,73],[1,2,21,74],[1,3,4,17,24,75],[1,2,
7,23,29,76],[1,3,7,19,28,77],[1,2,7,12,23,78],[1,2,5,7,14,16,23,79],[1,2,6,20,
21,80],[1,2,6,12,13,20,81],[1,2,6,12,14,20,82],[1,2,3,6,11,14,20,83],[1,3,17,
18,22,84],[1,2,6,20,21,85],[1,2,13,21,86],[1,2,5,14,16,21,87],[1,3,17,19,22,
88],[1,2,14,21,89],[1,2,4,5,12,15,16,90],[1,2,3,11,26,91],[1,2,7,21,23,92],[1,
2,5,7,13,16,23,93],[1,2,7,10,21,23,94],[1,2,4,13,15,21,95],[1,2,4,7,14,15,23,
96],[1,2,4,14,15,21,97],[1,2,7,12,21,23,98],[1,2,3,6,11,13,20,99],[1,2,12,21,
100],[1,2,7,21,23,101],[1,2,4,7,13,15,23,102],[1,2,5,13,16,21,103],[1,3,7,18,
28,104],[1,2,4,15,21,105],[1,2,6,7,20,23,32,106],[1,3,4,18,24,26,107],[1,3,6,
19,25,26,108],[1,3,4,5,19,24,27,109],[1,3,5,22,27,110],[1,3,22,26,111],[1,3,6,
18,25,26,112],[1,3,4,6,19,24,25,113],[1,3,5,19,26,27,114],[1,3,5,18,26,27,
115],[1,3,4,5,18,24,27,116],[1,2,6,14,20,21,117],[1,2,21,118],[1,2,4,6,7,15,
20,23,30,119],[1,3,22,26,120],[1,2,7,21,23,121],[1,3,4,6,18,24,25,122],[1,3,7,
17,19,28,123],[1,3,4,19,24,26,124],[1,3,22,125],[1,3,5,6,19,25,27,126],[1,3,4,
22,24,127],[1,3,7,17,18,28,128],[1,2,7,21,23,129],[1,2,6,13,20,21,130],[1,2,4,
6,15,20,21,131],[1,2,5,6,16,20,21,132],[1,2,6,7,13,20,23,133],[1,2,5,6,7,16,
20,23,31,134],[1,3,6,17,25,33,135],[1,2,3,7,11,21,23,136],[1,2,6,12,20,137],[
1,3,7,19,22,28,138],[1,2,21,139],[1,3,7,18,22,28,140],[1,2,5,16,21,141],[1,2,
3,6,11,20,33,142],[1,2,21,143],[1,2,21,144],[1,2,6,7,14,20,23,145],[1,2,12,
146],[1,3,6,17,25,33,147],[1,3,22,148],[1,3,5,6,18,25,27,149],[1,2,7,13,14,23,
150],[1,3,6,7,25,26,28,151],[1,3,4,5,7,24,27,28,34,152],[1,3,4,5,7,24,27,28,
34,153],[1,3,6,22,33,154],[1,3,4,6,7,24,25,28,30,155],[1,3,6,7,25,26,28,156],[
1,3,5,17,26,27,157],[1,3,5,7,26,27,28,158],[1,2,4,5,7,15,16,23,34,159],[1,3,4,
17,24,26,160],[1,3,5,6,22,25,27,161],[1,3,5,6,7,25,27,28,31,162],[1,3,18,
163],[1,3,4,7,24,26,28,164],[1,3,6,19,33,165],[1,3,6,18,33,166],[1,3,6,22,33,
167],[1,3,4,6,22,24,25,168],[1,4,6,7,29,30,32,169],[1,5,6,7,29,31,32,170],[1,
8,9,171],[1,2,35,172],[1,7,35,173],[1,2,8,14,36,174],[1,2,8,10,36,175],[1,2,8,
13,36,176],[1,2,3,8,11,36,40,177],[1,2,6,8,20,36,39,178],[1,2,6,8,20,36,38,
179],[1,2,8,12,36,180],[1,3,9,17,181],[1,2,4,9,15,37,41,182],[1,2,5,9,16,37,
42,183],[1,2,9,10,37,184],[1,2,8,13,36,185],[1,7,9,29,186],[1,2,7,8,23,36,44,
187],[1,2,8,21,36,188],[1,2,8,14,36,189],[1,2,7,9,23,37,43,45,190],[1,2,4,9,
15,37,47,191],[1,2,5,9,16,37,46,192],[1,2,9,21,37,193],[1,4,5,7,9,34,42,43,47,
194],[1,4,5,7,9,34,41,45,46,195],[1,4,5,7,9,34,41,43,46,196],[1,3,6,8,33,38,
39,40,197],[1,4,5,7,9,34,42,45,47,198],[1,2,3,11,12,52,56,199],[1,2,3,5,11,16,
17,27,51,68,73,200],[1,2,3,4,11,15,17,24,51,69,75,201],[1,2,3,10,11,12,13,14,
48,49,50,53,55,202],[1,2,3,10,11,12,17,48,51,56,203],[1,2,3,10,11,12,48,52,58,
204],[1,2,3,11,18,19,54,65,67,205],[1,2,3,11,21,72,74,206],[1,2,3,11,12,21,56,
72,100,207],[1,2,3,11,12,18,19,56,67,208],[1,2,3,11,12,22,56,63,209],[1,2,3,6,
10,11,12,20,25,48,64,66,71,210],[1,2,3,7,11,12,23,28,56,70,78,211],[1,2,3,11,
12,17,51,56,58,212],[1,2,5,14,16,21,59,87,89,213],[1,2,12,14,49,52,60,214],[1,
2,4,13,15,21,59,86,95,215],[1,2,7,10,21,23,59,92,94,216],[1,3,17,18,22,84,
217],[1,2,3,10,11,12,48,57,60,218],[1,2,7,10,21,23,61,94,101,219],[1,2,3,11,
12,14,49,57,58,220],[1,2,12,13,50,52,57,221],[1,2,3,11,12,13,50,58,60,222],[1,
2,3,11,12,52,56,58,223],[1,2,4,14,15,21,61,89,97,224],[1,2,5,13,16,21,61,86,
103,225],[1,2,3,4,6,7,11,15,20,23,24,25,28,30,66,69,70,119,155,226],[1,2,3,7,
11,17,21,23,28,51,70,72,136,227],[1,2,3,7,11,21,23,28,70,72,121,228],[1,2,3,
11,18,19,21,67,72,229],[1,2,3,10,11,12,18,19,22,48,63,67,230],[1,2,3,11,18,19,
22,63,67,231],[1,2,3,7,10,11,12,21,23,28,48,70,72,94,98,232],[1,2,3,5,11,13,
14,16,21,27,55,68,72,87,103,233],[1,2,3,4,11,13,14,15,21,24,55,69,72,95,97,
234],[1,2,3,5,11,16,21,27,68,72,141,235],[1,2,3,11,17,26,51,91,236],[1,2,3,4,
6,11,15,20,21,24,25,66,69,72,131,237],[1,2,3,6,11,12,14,20,49,56,64,82,83,
238],[1,2,3,5,11,16,22,27,63,68,110,239],[1,2,3,4,5,11,12,15,16,24,27,56,68,
69,90,240],[1,2,3,5,7,11,13,14,16,23,27,28,55,68,70,79,93,241],[1,2,3,5,6,11,
16,20,21,25,27,66,68,72,132,242],[1,2,3,11,12,26,56,91,243],[1,2,3,11,12,56,
60,244],[1,2,3,7,11,18,19,23,28,67,70,77,104,245],[1,2,3,6,11,12,13,14,20,25,
55,56,66,81,82,246],[1,2,3,11,22,26,63,91,111,247],[1,2,3,10,11,12,26,48,91,
248],[1,2,3,4,7,11,13,14,15,23,24,28,55,69,70,96,102,249],[1,2,3,4,5,10,11,12,
15,16,24,27,48,62,68,69,90,250],[1,2,3,4,11,15,22,24,63,69,127,251],[1,2,3,6,
11,12,13,20,50,56,64,81,99,252],[1,2,3,11,21,26,72,91,253],[1,2,3,6,11,12,20,
25,56,66,137,254],[1,2,3,11,17,18,19,22,51,63,67,84,88,255],[1,2,3,11,18,19,
21,67,72,256],[1,2,3,11,21,26,72,91,257],[1,2,3,11,12,56,57,258],[1,2,3,11,22,
26,63,91,120,259],[1,2,3,6,11,17,20,25,33,51,66,135,142,147,260],[1,2,3,11,21,
22,63,72,261],[1,2,3,5,6,7,11,16,20,23,25,27,28,31,66,68,70,134,162,262],[1,2,
3,6,11,13,14,17,20,25,51,55,66,83,99,263],[1,2,3,4,11,15,21,24,69,72,105,
264],[1,2,7,10,21,23,29,76,94,129,265],[1,2,4,14,15,21,74,97,105,266],[1,2,5,
6,7,16,20,23,29,31,32,76,106,134,170,267],[1,2,5,13,16,21,74,103,141,268],[1,
2,6,12,13,20,52,81,137,269],[1,2,4,6,7,15,20,23,29,30,32,76,106,119,169,270],[
1,2,7,12,21,23,74,98,121,271],[1,2,7,10,21,23,74,94,121,272],[1,2,4,13,15,21,
74,95,105,273],[1,2,6,12,14,20,52,82,137,274],[1,2,5,14,16,21,74,87,141,275],[
1,2,3,5,7,11,16,23,26,27,28,68,70,91,158,276],[1,2,3,7,11,12,22,23,28,56,63,
70,277],[1,2,3,4,6,11,15,20,22,24,25,63,66,69,168,278],[1,2,5,6,13,16,20,21,
59,80,103,130,132,279],[1,2,3,7,11,23,26,28,70,91,280],[1,2,3,4,11,12,15,24,
26,56,69,91,281],[1,2,7,12,21,23,29,76,78,92,98,101,282],[1,2,3,11,13,14,18,
19,26,55,67,91,283],[1,2,3,6,7,11,20,23,25,26,28,66,70,91,156,284],[1,2,3,5,
11,16,18,19,26,27,67,68,91,114,115,285],[1,2,3,4,5,7,11,15,16,23,24,27,28,34,
68,69,70,152,153,159,286],[1,3,7,17,18,22,28,54,84,104,128,140,287],[1,2,5,6,
7,14,16,20,21,23,31,80,87,101,134,145,288],[1,2,3,11,21,72,139,289],[1,2,4,5,
7,10,13,14,15,16,21,23,53,62,79,94,97,102,103,290],[1,2,5,7,13,14,16,21,23,79,
89,101,103,150,291],[1,2,7,10,13,14,21,23,53,86,89,94,150,292],[1,2,3,6,10,11,
12,13,14,20,48,53,71,81,82,83,99,293],[1,2,6,7,10,20,21,23,32,71,80,85,94,106,
294],[1,2,5,7,13,14,16,21,23,86,87,92,93,150,295],[1,3,17,18,19,22,84,88,
296],[1,2,4,5,7,12,14,15,16,21,23,49,79,87,90,96,97,98,297],[1,2,6,7,12,13,20,
23,32,64,78,81,106,133,298],[1,2,3,6,11,20,22,25,26,63,66,91,299],[1,2,3,4,11,
15,18,19,24,26,67,69,91,107,124,300],[1,2,5,6,14,16,20,21,61,85,87,117,132,
301],[1,2,3,5,11,12,16,26,27,56,68,91,302],[1,2,3,7,11,21,23,59,72,101,129,
136,303],[1,2,4,6,13,15,20,21,61,80,95,130,131,304],[1,3,17,18,22,84,148,
305],[1,2,6,12,14,20,21,49,82,89,100,117,306],[1,2,6,12,14,20,21,64,80,82,100,
117,307],[1,2,3,5,6,11,16,20,22,25,27,63,66,68,161,308],[1,3,7,17,18,19,22,28,
65,84,104,123,138,309],[1,2,3,6,11,12,20,57,58,64,310],[1,2,3,7,11,17,18,19,
23,28,51,67,70,123,128,311],[1,2,3,11,12,18,19,21,56,67,72,312],[1,2,3,5,11,
16,17,26,27,51,68,91,157,313],[1,2,4,7,13,14,15,21,23,86,97,101,102,150,314],[
1,2,3,7,11,21,23,61,72,92,129,136,315],[1,2,3,5,6,11,16,18,19,20,25,27,66,67,
68,126,149,316],[1,2,3,11,17,21,22,51,63,72,317],[1,2,6,7,12,13,20,21,23,80,
81,86,98,133,318],[1,2,4,6,7,14,15,20,21,23,30,80,92,97,119,145,319],[1,2,4,6,
7,13,15,20,21,23,30,85,95,101,119,133,320],[1,2,5,6,7,13,16,20,21,23,31,85,92,
103,133,134,321],[1,2,3,6,11,12,20,58,60,64,322],[1,2,3,5,11,16,21,26,27,68,
72,91,323],[1,2,3,11,12,56,57,60,324],[1,2,6,7,12,14,20,23,32,64,78,82,106,
145,325],[1,2,3,5,11,16,22,26,27,63,68,91,326],[1,2,3,7,11,18,19,22,23,28,63,
67,70,138,140,327],[1,2,6,12,20,52,57,64,328],[1,2,3,11,21,72,118,329],[1,2,6,
12,20,52,60,64,330],[1,2,3,10,11,12,48,146,331],[1,2,4,6,14,15,20,21,59,85,97,
117,131,332],[1,2,3,4,11,15,17,24,26,51,69,91,160,333],[1,2,3,6,11,13,20,21,
72,85,86,99,130,334],[1,2,3,11,12,56,146,335],[1,2,4,5,7,12,13,15,16,21,23,50,
90,93,95,98,102,103,336],[1,2,3,11,12,56,146,337],[1,2,4,7,13,14,15,21,23,89,
92,95,96,150,338],[1,2,3,4,11,15,22,24,26,63,69,91,339],[1,2,3,6,11,12,20,33,
56,64,137,142,340],[1,2,3,6,11,20,21,25,26,66,72,91,341],[1,2,3,4,5,11,15,16,
18,19,24,27,67,68,69,109,116,342],[1,2,3,11,21,72,144,343],[1,2,3,6,11,18,19,
20,25,26,66,67,91,108,112,344],[1,2,4,5,7,10,13,14,15,16,21,23,53,62,87,93,94,
95,96,345],[1,2,3,6,11,14,20,21,72,80,83,89,117,346],[1,2,3,11,18,19,26,67,91,
347],[1,2,3,6,10,11,12,20,33,48,71,137,142,348],[1,2,6,7,12,14,20,21,23,82,85,
89,98,145,349],[1,2,3,4,7,11,15,23,24,26,28,69,70,91,164,350],[1,2,3,7,10,11,
12,21,23,48,78,94,100,136,351],[1,2,6,12,13,20,21,64,81,85,100,130,352],[1,2,
3,4,6,11,15,18,19,20,24,25,66,67,69,113,122,353],[1,2,3,7,11,12,21,23,56,78,
98,100,136,354],[1,2,3,6,7,11,20,23,25,26,28,66,70,91,151,355],[1,2,6,7,12,13,
14,20,23,50,78,82,133,150,356],[1,2,6,7,12,13,14,20,23,49,78,81,145,150,357],[
1,2,3,7,11,21,22,23,28,63,70,72,358],[1,2,3,11,13,14,22,26,55,63,91,359],[1,2,
3,11,21,72,143,360],[1,2,3,6,11,20,21,25,26,66,72,91,361],[1,3,17,18,22,84,
125,362],[1,2,7,12,21,23,59,61,98,100,129,363],[1,2,3,4,11,15,21,24,26,69,72,
91,364],[1,2,6,12,13,20,21,50,81,86,100,130,365],[1,3,5,17,19,22,26,27,88,110,
114,120,157,366],[1,2,7,10,21,23,94,143,144,367],[1,3,6,17,19,22,25,33,88,147,
154,165,368],[1,2,5,6,7,14,16,20,21,23,79,87,89,117,129,132,145,369],[1,2,4,
13,15,21,95,118,144,370],[1,2,6,12,20,64,137,146,371],[1,2,5,14,16,21,87,139,
144,372],[1,2,6,12,13,20,50,137,146,373],[1,3,5,6,17,18,22,25,27,33,73,84,135,
149,161,374],[1,3,4,5,6,18,24,25,26,27,54,107,112,115,116,122,149,375],[1,2,5,
7,16,21,23,101,139,141,376],[1,2,5,14,16,21,87,118,143,377],[1,2,4,5,6,12,13,
15,16,20,21,81,90,95,100,103,131,132,378],[1,2,4,5,7,13,15,16,21,23,34,102,
103,105,121,159,379],[1,3,4,5,6,18,19,24,25,26,27,65,107,108,109,113,114,149,
380],[1,2,4,5,7,13,15,16,21,23,34,93,95,121,141,159,381],[1,2,4,5,7,12,15,16,
21,23,34,90,98,105,141,159,382],[1,2,3,6,11,18,19,20,33,67,142,165,166,383],[
1,3,6,17,19,22,25,33,88,135,165,167,384],[1,3,4,5,6,18,19,24,25,26,27,65,108,
109,115,122,124,126,385],[1,2,7,10,21,23,94,118,139,386],[1,2,5,6,7,14,16,20,
21,23,31,32,79,92,106,117,132,134,145,387],[1,2,5,6,16,20,21,80,141,144,388],[
1,2,4,5,7,14,15,16,21,23,34,79,97,121,141,159,389],[1,2,3,6,7,11,13,20,21,23,
25,32,66,80,99,106,130,133,136,390],[1,2,4,14,15,21,89,105,143,391],[1,2,6,12,
20,21,57,100,137,392],[1,2,13,21,74,86,118,393],[1,3,4,6,17,19,22,24,25,33,75,
88,113,147,168,394],[1,2,4,5,6,7,10,15,16,20,21,23,30,31,62,71,94,119,131,132,
134,395],[1,2,4,14,15,21,97,139,143,396],[1,2,7,21,23,74,101,144,397],[1,3,6,
17,18,22,25,33,84,135,154,166,398],[1,2,5,13,16,21,86,141,143,399],[1,2,5,16,
21,59,139,141,400],[1,2,4,15,21,61,105,139,401],[1,2,6,7,12,20,23,57,78,137,
402],[1,2,3,7,11,12,23,58,78,146,403],[1,2,5,6,16,20,21,85,141,143,404],[1,2,
4,15,21,59,105,118,405],[1,2,3,6,7,11,13,14,20,21,23,55,86,99,117,133,136,150,
406],[1,3,6,17,18,22,25,33,84,147,166,167,407],[1,2,5,16,21,61,118,141,408],[
1,2,5,14,16,21,89,141,144,409],[1,2,6,12,14,20,49,137,146,410],[1,3,5,17,18,
22,26,27,84,110,115,120,157,411],[1,2,6,7,20,21,23,80,118,121,412],[1,2,7,21,
23,101,121,143,413],[1,2,7,12,23,52,78,146,414],[1,2,7,21,23,92,121,144,415],[
1,2,7,14,21,23,89,118,121,416],[1,3,4,5,6,18,19,24,25,26,27,65,112,113,114,
116,124,126,417],[1,3,5,6,17,19,22,25,27,33,73,88,126,135,161,418],[1,2,4,13,
15,21,86,105,144,419],[1,2,4,5,7,14,15,16,21,23,34,87,96,105,121,159,420],[1,
3,7,17,18,19,22,28,65,77,88,123,128,138,140,421],[1,3,4,17,18,22,24,26,84,107,
111,127,160,422],[1,2,4,7,15,21,23,101,105,118,423],[1,2,12,21,52,100,146,
424],[1,2,6,7,20,21,23,85,121,139,425],[1,2,3,11,18,19,67,163,426],[1,2,4,6,
15,20,21,80,105,143,427],[1,2,4,6,15,20,21,85,105,144,428],[1,2,3,6,11,20,22,
33,63,142,154,167,429],[1,2,4,5,6,7,12,15,16,20,21,23,30,31,64,90,98,119,131,
132,134,430],[1,2,6,12,13,20,60,81,146,431],[1,2,7,21,23,59,121,143,432],[1,2,
5,6,7,13,14,16,20,23,29,31,76,79,93,133,134,145,150,433],[1,2,4,7,15,21,23,92,
105,139,434],[1,2,4,14,15,21,97,118,144,435],[1,2,4,6,7,14,15,20,21,23,30,32,
96,101,106,117,119,131,145,436],[1,2,4,6,7,15,20,21,23,30,32,80,85,106,119,
129,131,437],[1,2,3,6,7,11,14,20,21,23,25,32,66,83,85,106,117,136,145,438],[1,
2,4,13,15,21,95,139,143,439],[1,2,3,5,6,7,11,14,16,20,21,23,27,31,68,79,83,87,
132,134,136,440],[1,2,3,5,6,7,11,13,16,20,21,23,27,31,68,93,99,103,132,134,
136,441],[1,2,3,7,11,21,23,28,29,70,76,92,101,129,136,442],[1,2,3,6,7,11,13,
14,20,23,28,32,70,83,99,106,133,145,150,443],[1,2,6,7,12,20,23,60,78,137,
444],[1,2,5,6,7,16,20,21,23,31,32,80,85,106,129,132,134,445],[1,2,5,7,16,21,
23,92,118,141,446],[1,3,4,6,17,18,22,24,25,33,75,84,122,147,168,447],[1,2,6,
20,21,74,85,118,448],[1,2,4,6,7,13,15,20,21,23,30,32,92,102,106,119,130,131,
133,449],[1,2,3,6,7,11,13,14,20,21,23,55,83,89,130,136,145,150,450],[1,2,6,12,
20,21,60,100,137,451],[1,3,17,18,22,84,163,452],[1,2,5,6,7,13,16,20,21,23,86,
93,103,129,130,132,133,453],[1,2,4,5,6,7,12,13,15,16,20,23,30,31,78,81,90,93,
102,119,134,454],[1,3,17,18,22,84,163,455],[1,2,5,13,16,21,103,139,144,456],[
1,2,3,6,11,12,13,20,33,58,81,99,137,142,457],[1,2,7,21,23,61,121,144,458],[1,
3,4,17,19,22,24,26,88,111,124,127,160,459],[1,2,3,11,12,21,58,100,146,460],[1,
2,3,11,22,63,125,148,461],[1,2,14,21,74,89,139,462],[1,2,6,7,12,13,14,20,21,
23,32,81,82,98,106,117,130,150,463],[1,2,4,6,7,13,15,20,21,23,86,95,102,129,
130,131,133,464],[1,2,4,6,7,13,14,15,20,23,29,30,76,96,102,119,133,145,150,
465],[1,2,6,12,14,20,57,82,146,466],[1,2,4,5,6,7,12,14,15,16,20,23,30,31,78,
79,82,90,96,119,134,467],[1,2,6,12,13,20,57,81,146,468],[1,2,6,12,14,20,60,82,
146,469],[1,2,6,12,20,64,137,146,470],[1,2,3,6,11,12,14,20,33,58,82,83,137,
142,471],[1,2,7,21,23,74,92,143,472],[1,2,6,20,21,74,80,139,473],[1,2,4,6,7,
13,14,15,20,21,23,30,95,97,117,119,129,130,150,474],[1,2,7,12,21,23,98,143,
144,475],[1,2,3,4,6,7,11,14,15,20,21,23,24,30,69,83,96,97,119,131,136,476],[1,
2,7,12,21,23,98,118,139,477],[1,2,6,7,10,13,14,20,21,23,53,71,94,117,130,133,
145,478],[1,2,3,4,6,7,11,13,15,20,21,23,24,30,69,95,99,102,119,131,136,479],[
1,2,21,61,74,143,480],[1,2,5,13,16,21,103,118,143,481],[1,2,4,5,6,12,14,15,16,
20,21,82,87,90,97,100,131,132,482],[1,2,7,12,21,23,78,92,98,100,101,129,483],[
1,2,5,6,7,13,14,16,20,21,23,31,87,103,117,129,130,134,150,484],[1,2,21,59,74,
144,485],[1,2,4,6,7,14,15,20,21,23,89,96,97,117,129,131,145,486],[1,2,7,13,21,
23,86,121,139,487],[1,2,4,5,7,10,15,16,21,23,34,62,94,105,141,159,488],[1,3,
17,19,22,88,125,148,489],[1,2,5,6,7,13,16,20,21,23,31,32,93,101,106,130,132,
133,134,490],[1,3,5,6,7,18,22,25,26,27,28,111,112,115,140,156,158,161,491],[1,
3,6,7,18,28,33,104,163,166,492],[1,3,6,22,26,33,120,148,167,493],[1,3,4,5,7,
17,19,24,26,27,28,34,75,109,123,124,153,157,164,494],[1,3,4,5,7,17,18,24,26,
27,28,34,75,107,116,128,153,157,164,495],[1,3,4,5,7,17,18,24,26,27,28,34,73,
115,116,128,152,158,160,496],[1,3,6,22,26,33,111,148,154,497],[1,3,6,7,18,28,
33,104,163,166,498],[1,3,4,5,6,7,19,24,25,26,27,28,31,34,77,113,114,151,153,
162,164,499],[1,3,5,6,7,19,22,25,26,27,28,108,111,114,138,156,158,161,500],[1,
3,4,5,6,7,19,22,24,25,27,28,31,34,109,110,126,138,153,162,168,501],[1,3,4,6,7,
19,22,24,25,26,28,108,120,124,138,151,164,168,502],[1,3,6,22,26,33,111,125,
154,503],[1,3,4,5,6,7,18,24,25,26,27,28,31,34,104,115,122,151,153,162,164,
504],[1,3,4,5,6,7,18,22,24,25,27,28,30,34,116,122,127,140,152,155,161,505],[1,
3,5,6,22,27,33,110,125,167,506],[1,3,4,5,6,7,18,22,24,25,27,28,31,34,110,116,
140,149,153,162,168,507],[1,3,4,5,6,7,19,24,25,26,27,28,30,34,77,124,126,152,
155,156,158,508],[1,3,4,6,7,18,22,24,25,26,28,107,112,120,140,151,164,168,
509],[1,3,4,6,22,24,33,127,148,154,510],[1,3,6,18,33,54,163,166,511],[1,3,4,5,
7,17,19,24,26,27,28,34,73,109,114,123,152,158,160,512],[1,3,6,22,26,33,120,
125,167,513],[1,3,4,6,7,17,18,24,25,26,28,30,33,112,122,128,135,155,156,160,
514],[1,3,4,5,6,7,19,22,24,25,27,28,30,34,109,113,127,138,152,155,161,515],[1,
3,5,6,7,17,18,25,26,27,28,31,33,112,128,147,149,151,157,162,516],[1,3,6,18,19,
33,65,163,166,517],[1,3,4,5,6,7,18,24,25,26,27,28,30,34,104,107,149,152,155,
156,158,518],[1,3,5,6,7,17,19,25,26,27,28,31,33,108,123,126,147,151,157,162,
519],[1,3,4,6,22,24,33,125,127,154,520],[1,3,4,6,7,17,19,24,25,26,28,30,33,
108,113,123,135,155,156,160,521],[1,3,5,6,22,27,33,110,148,167,522],[1,7,8,9,
43,44,171,523],[1,7,8,9,44,45,171,524],[1,2,8,9,36,37,171,525],[1,4,8,9,41,47,
171,526],[1,5,8,9,42,46,171,527],[1,2,21,35,172,528],[1,2,7,23,35,172,173,
529],[1,2,10,35,172,530],[1,2,8,12,36,52,531],[1,2,8,12,36,52,180,532],[1,2,8,
10,13,14,36,53,174,175,176,533],[1,2,8,21,36,74,534],[1,3,8,18,40,54,535],[1,
2,9,12,37,52,536],[1,3,7,9,17,18,28,43,128,181,537],[1,2,3,6,8,11,14,20,36,39,
40,83,174,177,178,538],[1,3,7,9,17,19,28,45,123,181,539],[1,2,3,6,8,11,13,20,
36,38,40,99,176,177,179,540],[1,2,3,8,10,11,12,36,40,48,175,177,180,541],[1,2,
8,12,36,57,180,542],[1,2,6,8,12,20,36,39,137,178,180,543],[1,2,3,9,11,17,37,
51,181,544],[1,2,6,8,12,14,20,36,38,82,174,179,180,545],[1,2,6,8,12,13,20,36,
39,81,176,178,180,546],[1,2,9,21,37,59,547],[1,2,8,12,36,60,180,548],[1,2,9,
21,37,61,549],[1,2,8,12,36,146,180,550],[1,2,6,8,12,20,36,38,137,179,180,
551],[1,2,3,8,11,12,36,40,58,177,180,552],[1,2,6,8,10,20,36,38,39,71,175,178,
179,553],[1,2,8,12,14,36,49,180,189,554],[1,2,7,8,12,23,36,44,78,180,187,
555],[1,2,8,12,36,146,180,556],[1,2,8,12,13,36,50,180,185,557],[1,2,8,12,21,
36,100,180,188,558],[1,2,4,5,9,10,15,16,37,41,42,62,182,183,184,559],[1,2,7,9,
23,29,37,76,186,560],[1,2,3,7,8,11,21,23,36,40,44,136,177,187,188,561],[1,3,4,
9,17,24,26,41,160,181,562],[1,3,5,9,17,27,46,73,181,563],[1,3,4,9,17,24,47,75,
181,564],[1,2,6,7,8,14,20,23,36,39,44,145,178,187,189,565],[1,2,7,8,10,21,23,
36,44,94,175,187,188,566],[1,2,6,8,13,20,21,36,39,130,178,185,188,567],[1,2,3,
8,11,13,14,36,40,55,177,185,189,568],[1,2,3,6,8,11,20,33,36,38,39,40,142,177,
178,179,197,569],[1,2,8,10,13,14,36,53,175,185,189,570],[1,2,6,8,14,20,21,36,
38,117,179,188,189,571],[1,2,7,8,13,14,23,36,44,150,174,185,187,572],[1,2,7,8,
13,14,23,36,44,150,176,187,189,573],[1,2,6,7,8,13,20,23,36,38,44,133,179,185,
187,574],[1,2,8,14,21,36,89,174,188,189,575],[1,3,5,9,17,26,27,42,157,181,
576],[1,2,8,13,21,36,86,176,185,188,577],[1,2,4,9,15,21,37,41,47,105,182,191,
193,578],[1,2,5,9,16,21,37,42,46,141,183,192,193,579],[1,2,7,9,10,21,23,37,43,
45,94,184,190,193,580],[1,5,6,7,9,29,31,32,46,170,186,581],[1,2,4,5,7,9,15,16,
23,34,37,41,43,45,46,159,182,190,192,195,196,582],[1,4,6,7,9,29,30,32,47,169,
186,583],[1,2,4,5,7,9,15,16,23,34,37,42,43,45,47,159,183,190,191,194,198,
584],[1,2,4,5,9,10,15,16,37,46,47,62,184,191,192,585],[1,2,3,11,12,52,56,58,
199,223,586],[1,2,3,11,12,17,51,52,56,58,212,223,587],[1,2,3,10,11,12,17,48,
51,52,56,58,199,203,204,212,223,588],[1,2,3,4,5,10,11,12,15,16,17,24,27,48,51,
56,62,68,69,73,75,90,200,201,203,240,250,589],[1,2,3,6,11,12,13,14,20,25,52,
55,56,66,81,82,137,199,246,254,269,274,590],[1,2,3,4,11,13,14,15,21,24,55,69,
72,74,95,97,105,206,234,264,266,273,591],[1,2,3,10,11,12,18,19,22,48,54,63,65,
67,205,230,231,592],[1,2,3,7,10,11,12,21,23,28,48,70,72,74,94,98,121,206,228,
232,271,272,593],[1,2,3,5,11,13,14,16,21,27,55,68,72,74,87,103,141,206,233,
235,268,275,594],[1,2,3,11,12,18,19,21,52,56,67,72,100,199,207,208,312,595],[
1,2,3,7,10,11,12,17,21,23,28,48,51,56,70,72,78,94,98,100,136,203,207,211,227,
232,351,354,596],[1,2,3,6,10,11,12,13,14,17,20,25,48,49,50,51,53,55,56,64,66,
71,81,82,83,99,202,203,210,238,246,252,263,293,597],[1,2,3,6,11,12,13,20,21,
50,56,64,72,81,85,86,99,100,130,207,252,334,352,365,598],[1,2,3,10,11,12,17,
18,19,22,48,51,56,63,67,84,88,203,208,209,230,255,599],[1,2,3,11,12,21,56,60,
72,100,207,244,600],[1,2,3,6,11,12,14,20,21,49,56,64,72,80,82,83,89,100,117,
207,238,306,307,346,601],[1,2,3,6,10,11,12,17,20,25,33,48,51,56,64,66,71,135,
137,142,147,203,210,254,260,340,348,602],[1,2,3,7,11,12,17,18,19,23,28,51,56,
58,67,70,78,123,128,208,211,212,311,603],[1,2,3,11,12,21,56,57,72,100,207,258,
604],[1,2,3,7,11,12,22,23,28,52,56,63,70,78,199,209,211,277,605],[1,2,3,10,11,
12,17,26,48,51,56,91,203,236,243,248,606],[1,2,3,11,12,17,21,22,51,56,58,63,
72,100,207,209,212,317,607],[1,2,3,6,11,12,13,20,33,50,52,56,58,64,81,99,137,
142,223,252,269,340,457,608],[1,2,3,7,11,17,21,23,28,29,51,59,61,70,72,76,92,
101,129,136,227,303,315,442,609],[1,2,3,11,13,14,18,19,26,54,55,65,67,91,205,
283,347,610],[1,2,3,11,12,52,56,57,58,60,223,244,324,611],[1,2,3,6,11,12,14,
20,33,49,52,56,58,64,82,83,137,142,223,238,274,340,471,612],[1,2,3,11,17,18,
19,22,51,63,67,84,88,217,255,296,613],[1,2,3,11,12,52,56,57,58,60,223,258,324,
614],[1,2,4,5,7,10,13,14,15,16,21,23,53,59,62,86,87,89,92,93,94,95,96,150,213,
215,216,292,295,338,345,615],[1,2,4,5,7,10,13,14,15,16,21,23,53,61,62,79,86,
89,94,97,101,102,103,150,219,224,225,290,291,292,314,616],[1,2,3,10,11,12,13,
14,48,49,50,52,53,55,57,58,60,202,204,214,218,220,221,222,617],[1,2,3,4,6,11,
15,17,18,19,20,22,24,25,33,51,63,66,67,69,75,84,88,113,122,135,142,147,168,
201,255,260,278,353,394,447,618],[1,2,3,11,12,18,19,21,54,56,65,67,72,205,208,
229,256,312,619],[1,2,3,4,5,10,11,12,15,16,18,19,22,24,27,48,62,63,67,68,69,
90,109,110,116,127,230,239,250,251,342,620],[1,2,3,6,11,12,14,20,49,52,56,60,
64,82,83,199,214,238,244,330,621],[1,2,3,6,10,11,12,18,19,20,22,25,26,48,63,
64,66,67,71,91,108,112,210,230,248,299,344,622],[1,2,3,4,5,6,11,15,16,18,19,
20,21,24,25,27,66,67,68,69,72,105,109,113,116,122,132,242,256,264,342,353,
623],[1,2,3,4,5,11,12,15,16,17,24,26,27,51,56,58,68,69,90,91,157,160,212,240,
243,313,333,624],[1,2,3,5,11,12,16,21,26,27,56,68,72,91,100,141,207,235,257,
302,323,625],[1,2,3,11,12,52,56,146,199,337,626],[1,2,3,6,11,12,13,18,19,20,
50,56,57,64,67,81,99,208,252,258,627],[1,2,3,7,11,12,21,23,56,59,61,72,78,92,
98,100,101,129,136,207,303,315,354,363,483,628],[1,2,3,11,12,21,56,72,100,146,
207,335,629],[1,2,3,4,5,7,11,13,14,15,16,21,23,24,27,28,34,55,68,69,70,72,87,
96,102,103,105,121,152,153,159,228,233,249,264,286,379,420,630],[1,2,3,4,5,7,
11,13,14,15,16,21,23,24,27,28,34,55,68,69,70,72,79,93,95,97,121,141,152,153,
159,228,234,235,241,286,381,389,631],[1,2,3,4,5,6,11,15,16,18,19,20,21,24,25,
27,66,67,68,69,72,109,116,126,131,141,149,235,237,256,316,342,632],[1,2,3,11,
12,21,56,72,100,143,207,360,633],[1,2,3,6,11,12,13,14,20,22,25,26,55,56,63,66,
81,82,91,209,243,246,299,359,634],[1,2,3,4,5,6,7,11,12,13,14,15,16,20,23,24,
25,27,28,30,31,55,56,66,68,69,70,78,79,81,82,90,93,96,102,119,134,155,162,211,
226,240,241,246,249,262,454,467,635],[1,2,3,6,11,12,13,20,50,52,56,57,64,81,
99,199,221,252,258,328,636],[1,2,3,6,11,12,18,19,20,33,56,64,67,137,142,165,
166,208,340,383,637],[1,2,3,5,6,7,11,13,14,16,17,20,21,23,25,27,28,31,51,55,
66,68,70,72,73,79,83,87,93,99,103,132,134,136,162,200,227,233,241,242,262,263,
440,441,638],[1,2,3,5,6,11,16,17,18,19,20,22,25,27,33,51,63,66,67,68,73,84,88,
126,135,142,147,149,161,200,255,260,308,316,374,418,639],[1,2,3,6,7,11,12,20,
23,25,26,28,56,66,70,78,91,137,151,156,211,243,254,284,355,640],[1,2,3,5,11,
12,16,22,26,27,56,63,68,91,110,111,209,239,247,302,326,641],[1,2,3,6,11,12,14,
18,19,20,49,56,60,64,67,82,83,208,238,244,642],[1,2,3,10,11,12,18,19,22,26,48,
63,67,91,111,120,230,247,248,259,347,643],[1,2,3,4,5,7,10,11,12,13,14,15,16,
21,23,24,27,28,48,49,50,53,55,62,68,69,70,72,79,87,90,93,94,95,96,97,98,102,
103,202,232,233,234,241,249,250,290,297,336,345,644],[1,2,3,5,7,11,16,17,21,
23,26,27,28,51,68,70,72,91,136,141,157,158,227,235,253,276,313,645],[1,2,3,4,
5,6,11,12,13,14,15,16,20,21,24,25,27,55,56,66,68,69,72,81,82,87,90,95,97,100,
103,131,132,207,233,234,237,240,242,246,378,482,646],[1,2,3,4,5,6,11,12,15,16,
20,22,24,25,27,56,63,66,68,69,90,137,161,168,209,240,254,278,308,647],[1,2,3,
5,11,16,17,18,19,22,26,27,51,63,67,68,84,88,91,110,114,115,120,157,239,255,
259,285,313,366,411,648],[1,2,3,11,12,21,56,72,100,144,207,343,649],[1,2,3,6,
11,12,13,20,22,50,56,60,63,64,81,99,209,244,252,650],[1,2,3,4,11,13,14,15,18,
19,21,24,26,55,67,69,72,91,95,97,107,124,234,253,256,283,300,651],[1,2,3,4,11,
12,15,22,24,26,56,63,69,91,120,127,209,251,259,281,339,652],[1,2,3,6,7,11,12,
13,14,20,23,28,32,49,50,56,64,70,78,81,82,83,99,106,133,145,150,211,238,252,
298,325,356,357,443,653],[1,2,3,6,11,12,13,14,17,20,25,33,51,55,56,58,66,81,
82,83,99,135,137,142,147,212,246,254,260,263,457,471,654],[1,2,3,5,11,12,16,
17,26,27,51,56,58,68,73,91,157,200,212,236,302,313,655],[1,2,3,11,12,18,19,56,
57,60,67,208,324,656],[1,2,3,11,12,18,19,21,56,67,72,74,100,206,207,229,256,
312,657],[1,2,3,11,17,18,19,21,22,51,63,67,72,84,88,229,231,255,261,317,658],[
1,2,3,5,6,11,16,20,21,22,25,27,63,66,68,72,110,132,141,161,235,239,242,261,
308,659],[1,2,3,11,12,21,56,72,100,118,207,329,660],[1,2,3,7,11,17,18,19,21,
23,28,51,67,70,72,77,104,121,123,128,136,227,228,245,256,311,661],[1,2,3,4,5,
11,12,15,16,24,26,27,52,56,68,69,90,91,199,240,243,281,302,662],[1,2,3,4,5,6,
7,10,11,12,15,16,20,21,23,24,25,27,28,30,31,48,62,64,66,68,69,70,71,72,90,94,
98,119,131,132,134,155,162,210,226,232,237,242,250,262,395,430,663],[1,2,3,4,
11,12,15,21,24,26,56,69,72,91,100,105,207,253,264,281,364,664],[1,2,3,6,11,12,
20,21,25,26,56,66,72,91,100,137,207,243,254,341,361,665],[1,2,3,6,11,12,14,20,
22,49,56,57,63,64,82,83,209,238,258,666],[1,2,3,7,11,12,23,28,56,70,78,146,
211,335,667],[1,2,3,4,6,7,11,15,20,21,23,24,25,26,28,66,69,70,72,91,121,131,
156,164,228,237,253,284,350,668],[1,2,3,11,12,17,51,56,58,146,212,337,669],[1,
2,3,11,12,22,56,57,60,63,209,324,670],[1,2,3,11,12,21,56,72,100,139,207,289,
671],[1,2,3,7,11,12,21,22,23,28,56,63,70,72,100,121,207,228,261,277,358,672],[
1,2,3,6,11,12,13,17,20,50,51,56,58,60,64,81,99,212,222,244,252,322,673],[1,2,
3,7,10,11,12,18,19,21,22,23,28,48,63,67,70,72,94,98,138,140,230,232,256,261,
327,674],[1,2,3,4,11,15,17,18,19,22,24,26,51,63,67,69,84,88,91,107,111,124,
127,160,247,251,255,300,333,422,459,675],[1,2,3,5,6,7,11,16,20,21,23,25,26,27,
28,66,68,70,72,91,121,132,151,158,228,242,257,276,355,676],[1,2,3,7,10,11,12,
21,23,26,28,48,70,72,91,94,98,232,248,253,257,280,677],[1,2,3,7,11,12,21,23,
28,29,56,70,76,78,92,98,100,101,129,136,211,282,354,442,483,678],[1,2,3,7,11,
12,23,28,56,57,60,70,78,211,244,258,679],[1,2,3,6,11,12,20,22,33,56,63,64,137,
142,154,167,209,340,429,680],[1,2,3,5,6,11,16,20,21,25,26,27,66,68,72,74,91,
132,206,242,253,323,341,681],[1,2,3,4,7,11,15,17,21,23,24,26,28,51,69,70,72,
91,105,136,160,164,227,257,264,333,350,682],[1,2,3,10,11,12,17,48,51,56,146,
203,331,335,337,683],[1,2,3,7,11,12,18,19,22,23,28,56,63,67,70,77,104,138,140,
208,231,245,277,327,684],[1,2,3,7,11,17,18,19,22,23,28,51,54,63,65,67,70,77,
84,88,104,123,128,138,140,205,245,255,287,309,311,327,421,685],[1,2,3,4,5,6,
11,12,15,16,18,19,20,24,25,27,56,66,67,68,69,90,113,122,126,137,149,208,240,
254,316,353,686],[1,2,3,7,11,17,21,22,23,28,51,63,70,72,74,136,206,227,261,
317,358,687],[1,2,3,4,6,7,11,13,14,15,17,20,21,23,24,25,28,30,51,55,66,69,70,
72,75,83,95,96,97,99,102,119,131,136,155,201,226,227,234,237,249,263,476,479,
688],[1,2,3,4,6,11,15,20,21,24,25,26,66,69,72,74,91,131,206,237,257,361,364,
689],[1,2,3,5,11,13,14,16,18,19,21,26,27,55,67,68,72,87,91,103,114,115,233,
256,257,283,285,690],[1,2,3,4,11,12,15,17,24,26,51,56,58,69,75,91,160,201,212,
236,281,333,691],[1,2,3,5,11,13,14,16,21,22,26,27,55,63,68,72,87,91,103,233,
253,261,326,359,692],[1,2,3,6,11,12,13,14,18,19,20,25,26,55,56,66,67,81,82,91,
108,112,208,243,246,283,344,693],[1,2,3,10,11,12,13,14,18,19,22,26,48,49,50,
53,55,63,67,91,202,230,248,283,359,694],[1,2,3,4,5,7,10,11,12,15,16,21,23,24,
27,28,34,48,62,68,69,70,72,90,94,98,105,141,152,153,159,232,235,250,264,286,
382,488,695],[1,2,3,10,11,12,17,48,51,56,57,60,203,218,244,258,324,696],[1,2,
3,6,11,12,14,17,20,49,51,56,57,58,64,82,83,212,220,238,258,310,697],[1,2,3,4,
11,13,14,15,21,22,24,26,55,63,69,72,91,95,97,234,257,261,339,359,698],[1,2,3,
4,6,11,15,20,21,22,24,25,63,66,69,72,105,127,131,168,237,251,261,264,278,
699],[1,2,3,7,10,11,12,18,19,21,22,23,28,48,63,67,70,72,77,94,98,104,229,230,
232,245,358,700],[1,2,4,5,7,10,13,14,15,16,21,23,34,53,62,74,79,94,97,102,103,
105,121,141,159,266,268,272,290,379,389,488,701],[1,2,3,6,10,11,12,13,14,20,
33,48,52,53,58,71,81,82,83,99,137,142,204,269,274,293,348,457,471,702],[1,2,4,
5,6,7,10,15,16,20,21,23,29,30,31,32,62,71,76,80,85,94,106,119,129,131,132,134,
169,170,265,267,270,294,395,437,445,703],[1,3,5,6,17,18,22,25,27,33,73,84,135,
149,154,161,166,217,374,398,704],[1,3,4,6,17,18,22,24,25,33,75,84,122,147,166,
167,168,217,407,447,705],[1,2,4,5,7,12,13,15,16,21,23,34,50,74,90,93,95,98,
102,103,105,121,141,159,268,271,273,336,379,381,382,706],[1,2,4,5,7,12,14,15,
16,21,23,34,49,74,79,87,90,96,97,98,105,121,141,159,266,271,275,297,382,389,
420,707],[1,2,4,5,7,10,13,14,15,16,21,23,34,53,62,74,87,93,94,95,96,105,121,
141,159,272,273,275,345,381,420,488,708],[1,2,3,6,11,12,13,20,50,56,57,60,64,
81,99,146,252,324,337,431,468,709],[1,2,3,4,5,7,11,15,16,17,21,23,24,26,27,28,
34,51,68,69,70,72,91,136,152,153,157,159,160,227,280,286,313,323,333,364,
710],[1,2,3,10,11,12,18,19,22,48,63,67,146,230,331,711],[1,2,4,5,6,7,12,13,14,
15,16,20,21,23,29,30,31,50,76,78,79,82,85,89,90,92,93,95,96,98,101,102,103,
119,133,134,145,150,282,291,320,321,336,338,349,356,433,465,467,712],[1,2,3,6,
11,13,20,21,72,74,85,86,99,118,130,206,329,334,393,448,713],[1,2,3,6,11,12,13,
20,33,50,56,64,81,99,137,142,146,252,337,340,371,373,714],[1,2,3,11,12,18,19,
52,56,58,67,146,208,223,337,715],[1,2,3,6,11,12,20,33,52,56,58,60,64,137,142,
223,244,322,330,340,716],[1,2,4,5,6,7,12,13,14,15,16,20,21,23,29,30,31,49,76,
78,79,80,81,86,87,90,92,93,96,97,98,101,102,119,133,134,145,150,282,288,295,
297,314,318,319,357,433,454,465,717],[1,2,3,6,11,12,14,20,33,49,56,64,82,83,
137,142,146,238,337,340,410,470,718],[1,2,3,4,5,7,11,13,14,15,16,18,19,23,24,
26,27,28,55,67,68,69,70,77,79,91,93,96,102,104,109,116,158,164,241,245,249,
276,283,342,350,719],[1,2,3,5,6,7,11,12,13,14,16,20,22,23,25,26,27,28,55,56,
63,66,68,70,79,81,82,91,93,151,161,241,246,277,302,308,355,359,720],[1,2,3,5,
6,11,16,20,21,22,25,26,27,63,66,68,72,91,120,161,259,261,299,308,323,326,361,
721],[1,2,3,10,11,12,18,19,22,48,63,67,163,230,426,722],[1,2,3,5,6,11,13,14,
16,17,20,21,22,25,26,27,51,55,63,66,68,72,83,87,91,99,103,157,161,233,263,308,
313,317,341,359,723],[1,2,3,7,10,11,12,21,23,28,48,70,72,94,98,118,139,232,
289,329,386,477,724],[1,2,3,5,6,7,11,14,16,20,21,23,25,27,31,32,61,66,68,72,
79,80,83,85,87,89,92,106,117,129,132,134,136,145,242,301,315,346,369,387,438,
440,445,725],[1,2,3,5,6,7,11,13,14,16,20,21,23,27,31,55,59,68,72,79,80,83,87,
89,101,103,117,129,130,132,134,136,145,150,213,233,279,288,291,303,346,369,
440,450,484,726],[1,2,3,5,6,11,16,17,20,21,22,25,26,27,33,51,63,66,68,72,91,
132,135,142,147,157,161,242,260,299,308,313,317,361,727],[1,2,3,5,6,11,16,18,
19,20,22,25,26,27,63,66,67,68,91,110,114,115,126,149,161,231,239,285,299,308,
316,326,728],[1,2,3,5,6,7,11,16,17,18,19,20,23,25,26,27,28,31,33,51,66,67,68,
70,91,108,112,123,126,128,134,135,142,147,149,151,157,162,260,262,311,313,316,
344,355,516,519,729],[1,2,3,4,5,7,11,12,15,16,22,23,24,26,27,28,34,56,63,68,
69,70,90,91,127,152,153,159,164,240,251,277,281,286,326,350,730],[1,2,3,11,12,
56,57,60,146,258,324,337,731],[1,2,3,11,12,56,57,60,146,244,324,337,732],[1,2,
3,4,5,6,7,11,15,16,18,19,20,23,24,25,26,27,28,31,34,66,67,68,69,70,77,91,104,
113,114,115,122,134,151,152,153,159,162,164,245,262,285,286,350,353,355,499,
504,733],[1,2,3,6,11,17,18,19,20,22,25,33,51,63,66,67,84,88,135,142,147,154,
165,166,167,255,260,368,383,384,398,407,429,734],[1,2,3,6,11,13,20,21,26,72,
85,86,91,99,130,143,257,334,360,735],[1,2,3,6,11,12,20,33,56,57,64,137,142,
146,258,337,340,736],[1,2,3,4,6,7,11,15,20,21,23,24,25,26,28,30,66,69,70,72,
91,119,121,151,155,164,226,228,280,341,350,355,364,737],[1,2,3,4,5,11,12,15,
16,18,19,21,24,26,27,56,67,68,69,72,90,91,109,114,115,116,141,235,240,285,302,
312,342,364,738],[1,2,3,4,5,11,15,16,17,18,19,22,24,26,27,51,63,67,68,69,84,
88,91,109,116,157,160,255,313,326,333,339,342,347,739],[1,2,3,6,11,12,13,20,
26,50,56,64,81,91,99,146,243,252,335,740],[1,2,3,5,6,11,12,13,14,16,18,19,20,
21,25,26,27,55,56,66,67,68,72,81,82,87,91,103,126,149,233,246,283,302,312,316,
361,741],[1,2,4,5,6,7,10,13,14,15,16,20,21,23,30,31,32,53,59,62,71,79,80,85,
92,94,97,102,103,106,117,119,130,131,132,133,134,145,216,279,290,294,319,321,
332,387,395,449,478,742],[1,2,4,5,6,7,10,13,14,15,16,20,21,23,30,31,32,53,61,
62,71,80,85,87,93,94,95,96,101,106,117,119,130,131,132,133,134,145,219,288,
294,301,304,320,345,395,436,478,490,743],[1,2,3,4,6,7,11,14,15,20,21,23,24,25,
30,32,59,66,69,72,80,83,85,89,96,97,101,106,117,119,129,131,136,145,237,303,
332,346,436,437,438,476,486,744],[1,2,3,5,6,7,11,16,18,19,20,22,23,25,26,27,
28,63,66,67,68,70,91,108,111,112,114,115,138,140,156,158,161,247,276,284,285,
308,327,344,491,500,745],[1,2,3,4,5,6,7,11,15,16,20,21,22,23,24,25,26,27,28,
34,63,66,68,69,70,72,91,132,152,153,156,159,168,242,278,284,286,326,358,364,
746],[1,2,3,4,5,6,7,11,15,16,18,19,20,23,24,25,26,27,28,30,34,66,67,68,69,70,
77,91,104,107,119,124,126,149,152,153,155,156,158,159,226,245,276,284,286,300,
316,508,518,747],[1,2,3,4,5,6,11,15,16,18,19,20,24,25,26,27,54,65,66,67,68,69,
91,107,108,109,112,113,114,115,116,122,124,126,149,205,285,300,316,342,344,
353,375,380,385,417,748],[1,2,3,4,5,11,12,15,16,18,19,21,24,26,27,56,67,68,69,
72,90,91,105,107,109,116,124,240,264,281,300,312,323,342,749],[1,2,3,6,7,11,
12,13,14,20,21,23,25,32,50,55,56,64,66,78,80,81,82,86,98,99,100,106,117,130,
133,136,150,246,252,298,307,318,354,356,365,390,406,463,750],[1,2,3,4,6,7,11,
13,15,20,21,23,24,25,30,32,61,66,69,72,80,85,86,92,95,99,102,106,119,129,130,
131,133,136,237,304,315,334,390,437,449,464,479,751],[1,2,3,6,7,11,17,20,21,
23,25,26,28,33,51,66,70,72,91,135,136,142,147,151,156,227,236,260,284,341,355,
361,752],[1,2,3,4,5,11,12,15,16,18,19,24,26,27,56,67,68,69,91,107,109,114,115,
116,124,208,281,285,300,302,342,347,753],[1,2,3,4,5,11,13,14,15,16,18,19,21,
24,26,27,55,67,68,69,72,87,91,95,97,103,109,116,229,233,234,283,323,342,364,
754],[1,2,3,7,10,11,12,21,23,28,29,48,59,61,70,72,76,78,92,94,98,100,101,129,
136,216,219,232,265,282,303,315,351,363,442,483,755],[1,2,3,4,5,11,12,15,16,
24,27,56,57,68,69,90,146,240,258,335,756],[1,2,3,5,7,11,16,17,18,19,23,26,27,
28,51,67,68,70,91,114,115,123,128,157,158,236,276,280,285,311,313,347,757],[1,
2,3,4,5,10,11,12,15,16,17,24,26,27,48,51,56,62,68,69,90,91,157,160,203,248,
250,281,302,313,333,758],[1,2,3,4,6,7,11,15,18,19,20,22,23,24,25,26,28,63,66,
67,69,70,91,107,108,112,120,124,138,140,151,164,168,259,278,300,327,344,350,
355,502,509,759],[1,2,3,4,6,7,11,13,14,15,20,21,23,24,30,55,59,69,72,85,86,95,
97,99,101,102,117,119,129,130,131,133,136,150,215,234,303,314,320,332,334,406,
464,474,479,760],[1,2,3,7,11,12,23,28,52,56,58,70,78,146,211,223,337,403,414,
761],[1,2,3,10,11,12,18,19,22,48,63,67,125,148,230,461,762],[1,2,3,4,6,7,11,
13,14,15,17,18,19,20,23,24,25,26,28,51,55,66,67,69,70,83,91,96,99,102,113,122,
123,128,151,160,249,263,283,311,333,353,355,763],[1,2,3,4,6,7,11,12,13,14,15,
20,22,23,24,25,26,28,55,56,63,66,69,70,81,82,91,96,102,156,168,246,249,277,
278,281,284,359,764],[1,2,3,11,17,18,19,22,51,63,67,84,88,163,255,426,452,455,
765],[1,2,3,6,7,11,18,19,20,23,25,26,28,66,67,70,77,91,104,108,112,151,156,
245,280,284,344,347,355,766],[1,2,3,6,7,10,11,12,13,14,20,21,23,48,49,50,53,
55,71,78,81,82,83,86,89,94,99,100,117,130,133,136,145,150,202,292,293,306,351,
356,357,365,406,450,478,767],[1,2,3,5,6,7,11,12,16,20,22,23,25,26,27,28,31,56,
63,66,68,70,91,134,137,156,161,162,254,262,277,284,299,302,308,768],[1,2,3,5,
6,11,16,18,19,20,21,25,26,27,66,67,68,72,91,108,112,114,115,126,149,256,285,
316,323,341,344,347,769],[1,2,3,6,7,11,12,20,21,23,25,56,57,66,78,98,100,136,
137,254,258,354,392,402,770],[1,2,4,5,6,7,12,14,15,16,20,21,23,49,59,61,79,82,
85,87,89,90,96,97,98,100,117,129,131,132,145,213,224,297,301,306,332,349,363,
369,482,486,771],[1,2,3,5,6,7,11,16,20,21,23,25,26,27,28,31,66,68,70,72,91,
121,134,156,158,162,228,262,276,280,284,323,361,772],[1,2,3,11,12,17,26,51,56,
58,91,212,236,773],[1,2,3,7,11,12,21,22,23,56,63,78,98,100,136,146,209,335,
354,774],[1,2,3,7,11,12,18,19,21,23,56,67,78,98,100,136,146,208,335,354,775],[
1,2,3,6,11,13,20,21,26,72,85,86,91,99,130,144,253,334,343,776],[1,2,3,7,11,21,
23,26,59,72,91,101,129,136,139,257,289,303,777],[1,2,3,4,7,11,15,21,23,24,59,
69,72,101,105,118,129,136,264,303,329,405,423,778],[1,2,3,7,11,18,19,21,23,59,
67,72,101,129,136,144,256,303,343,779],[1,2,3,11,17,18,19,22,51,63,67,84,88,
125,148,255,305,362,461,489,780],[1,2,3,6,11,12,13,20,50,52,56,57,58,60,64,81,
99,221,222,223,252,310,324,330,781],[1,2,3,7,11,21,22,23,59,63,72,101,129,136,
143,261,303,360,782],[1,2,3,4,7,11,13,14,15,18,19,22,23,24,26,28,55,63,67,69,
70,91,96,102,107,124,138,140,249,280,283,300,327,339,359,783],[1,2,3,7,11,12,
18,19,21,22,23,28,56,63,67,70,72,138,140,209,231,261,277,312,327,358,784],[1,
2,3,4,6,7,11,12,15,20,22,23,24,25,26,28,30,56,63,66,69,70,91,119,137,151,155,
168,226,254,277,278,281,299,355,785],[1,2,3,7,11,12,21,23,26,56,57,78,91,98,
100,136,243,258,354,786],[1,2,3,6,7,10,11,12,20,21,23,25,26,28,48,64,66,70,71,
72,91,94,98,151,156,210,232,248,284,341,355,361,787],[1,2,3,6,11,12,17,20,33,
51,56,57,58,60,64,137,142,212,310,322,324,340,788],[1,2,3,7,10,11,12,21,23,28,
48,70,72,94,98,143,144,232,343,360,367,475,789],[1,2,3,6,7,11,20,21,22,23,25,
26,28,63,66,70,72,91,120,156,257,259,280,284,299,341,358,790],[1,2,3,4,6,11,
12,15,18,19,20,21,24,25,26,56,66,67,69,72,91,108,112,113,122,131,137,237,254,
281,312,344,353,361,791],[1,2,3,5,6,7,11,13,16,20,21,23,25,27,31,32,59,66,68,
72,80,85,86,93,99,101,103,106,129,130,132,133,134,136,242,279,303,334,390,441,
445,453,490,792],[1,2,3,5,6,7,11,13,14,16,20,21,23,27,31,55,61,68,72,85,86,87,
92,93,99,103,117,129,130,132,133,134,136,150,225,233,295,301,315,321,334,406,
441,453,484,793],[1,2,3,4,6,11,15,18,19,20,22,24,25,26,63,66,67,69,91,107,113,
122,124,127,168,231,251,278,299,300,339,353,794],[1,2,3,7,11,21,23,28,59,70,
72,101,121,129,136,143,228,303,360,413,432,795],[1,2,3,6,11,12,14,20,49,52,56,
57,58,60,64,82,83,214,220,223,238,322,324,328,796],[1,2,3,6,7,11,14,20,21,23,
28,70,72,80,83,89,117,118,121,228,329,346,412,416,797],[1,2,3,6,10,11,12,18,
19,20,22,33,48,63,67,71,137,142,154,165,166,167,230,348,383,429,798],[1,2,3,4,
6,7,11,13,14,15,20,21,23,24,30,55,61,69,72,80,83,89,92,95,96,97,117,119,129,
130,131,136,145,150,224,234,304,315,319,338,346,450,474,476,486,799],[1,2,3,6,
11,12,13,20,25,50,56,64,66,81,99,137,146,252,254,335,373,470,800],[1,2,3,6,7,
11,13,14,17,20,21,23,25,28,32,51,55,66,70,72,80,83,85,86,89,99,106,117,130,
133,136,145,150,227,263,334,346,390,406,438,443,450,801],[1,2,3,4,11,15,17,21,
22,24,26,51,63,69,72,75,91,105,127,160,201,251,264,317,333,339,364,802],[1,2,
3,7,11,21,23,61,72,74,92,129,136,143,206,315,360,472,480,803],[1,2,3,4,7,11,
15,21,23,24,61,69,72,92,105,129,136,139,264,289,315,401,434,804],[1,2,3,4,5,6,
7,11,15,16,18,19,20,22,23,24,25,27,28,31,34,63,66,67,68,69,70,109,110,116,126,
134,138,140,149,152,153,159,162,168,239,262,278,286,316,327,342,501,507,805],[
1,2,3,7,11,21,22,23,61,63,72,92,129,136,144,261,315,343,806],[1,2,3,5,7,11,13,
14,16,18,19,22,23,26,27,28,55,63,67,68,70,79,91,93,114,115,138,140,241,280,
283,285,326,327,359,807],[1,2,3,4,5,7,11,12,15,16,23,24,26,27,28,34,56,68,69,
70,78,91,152,153,158,159,164,211,276,280,281,286,302,350,808],[1,2,3,7,11,12,
21,23,52,56,78,98,100,136,146,199,335,354,414,424,809],[1,2,3,4,7,11,15,17,18,
19,23,24,26,28,51,67,69,70,91,107,123,124,128,160,164,236,280,300,311,333,347,
350,810],[1,2,3,7,11,17,18,19,21,22,23,28,51,63,67,70,72,121,123,128,136,138,
140,227,228,229,311,317,327,358,811],[1,2,3,5,11,12,16,18,19,21,26,27,56,67,
68,72,91,114,115,243,253,285,302,312,323,347,812],[1,2,3,11,12,22,52,56,58,63,
146,209,223,337,813],[1,2,3,4,7,11,12,15,22,23,24,26,28,56,63,69,70,91,111,
164,243,247,277,280,281,339,350,814],[1,2,3,4,6,7,11,15,18,19,20,22,23,24,25,
26,28,63,66,67,69,70,91,113,122,138,140,156,164,284,299,327,339,347,350,353,
815],[1,2,3,5,6,7,11,16,20,21,22,23,25,26,27,28,31,63,66,68,70,72,91,134,141,
158,161,162,235,262,276,308,326,341,358,816],[1,2,3,6,7,10,11,12,13,14,20,21,
23,25,32,48,53,64,66,71,78,80,81,82,83,85,94,99,100,106,117,130,133,136,145,
210,293,294,298,307,325,351,352,390,438,478,817],[1,2,3,4,5,7,11,12,15,16,22,
23,24,26,27,28,34,56,63,68,69,70,90,91,110,152,153,158,159,239,240,276,277,
286,302,339,818],[1,2,3,4,5,6,11,15,16,18,19,20,22,24,25,26,27,63,66,67,68,69,
91,108,109,112,116,161,168,231,278,308,326,339,342,344,819],[1,2,3,7,11,21,23,
26,59,72,91,101,118,129,136,253,303,329,820],[1,2,3,5,6,11,12,16,18,19,20,21,
25,26,27,56,66,67,68,72,91,108,112,126,132,137,149,242,254,302,312,316,341,
344,821],[1,2,3,5,6,7,11,16,18,19,20,22,23,25,26,27,28,63,66,67,68,70,91,126,
138,140,149,151,158,276,299,316,326,327,347,355,822],[1,2,3,6,7,11,12,13,14,
20,21,23,25,32,49,55,56,64,66,78,81,82,83,85,89,98,100,106,117,130,136,145,
150,238,246,306,325,349,352,354,357,438,450,463,823],[1,2,3,6,10,11,12,20,25,
33,48,64,66,71,137,142,146,210,331,348,371,470,824],[1,2,3,5,7,11,12,16,22,23,
26,27,28,56,63,68,70,91,120,158,243,259,276,277,280,302,326,825],[1,2,3,6,7,
10,11,12,13,14,20,21,23,28,32,48,53,70,71,72,80,81,82,83,85,86,89,94,98,99,
106,117,130,133,145,150,232,292,293,294,318,334,346,349,443,463,478,826],[1,2,
3,4,5,6,7,11,12,14,15,16,20,21,23,24,27,30,31,49,56,64,68,69,78,79,82,83,87,
90,96,97,98,100,119,131,132,134,136,238,240,297,354,430,440,467,476,482,827],[
1,2,3,7,11,17,21,23,28,51,70,72,118,136,139,227,289,329,828],[1,2,3,6,11,12,
20,33,52,56,57,60,64,137,142,199,324,328,330,340,829],[1,2,3,6,7,11,20,21,22,
23,25,26,28,63,66,70,72,91,111,151,247,253,280,299,355,358,361,830],[1,2,3,6,
11,12,20,21,33,56,57,60,64,72,100,137,142,207,324,340,392,451,831],[1,2,3,4,6,
11,12,13,14,15,18,19,20,21,24,25,26,55,56,66,67,69,72,81,82,91,95,97,113,122,
234,246,281,283,312,341,353,832],[1,2,3,4,6,11,15,18,19,20,21,24,25,26,66,67,
69,72,91,107,108,112,113,122,124,256,300,344,347,353,361,364,833],[1,2,3,6,7,
11,13,20,21,23,28,70,72,85,86,99,121,130,139,228,289,334,425,487,834],[1,2,3,
6,11,12,20,33,56,60,64,137,142,146,244,337,340,835],[1,2,3,4,5,6,7,11,15,16,
20,21,22,23,24,25,26,27,28,34,63,66,68,69,70,72,91,131,151,152,153,159,161,
237,286,308,323,339,355,358,836],[1,2,3,4,5,6,10,11,12,15,16,18,19,20,22,24,
25,27,48,62,63,64,66,67,68,69,71,90,113,122,126,149,161,168,210,230,250,278,
308,316,353,837],[1,2,3,7,11,21,23,28,61,70,72,92,121,129,136,144,228,315,343,
415,458,838],[1,3,7,17,18,22,28,54,84,104,125,128,140,217,287,362,839],[1,2,3,
4,11,12,15,18,19,21,24,26,56,67,69,72,91,107,124,243,257,281,300,312,347,364,
840],[1,2,3,6,11,14,20,21,22,63,72,80,83,89,117,118,261,329,346,841],[1,2,3,5,
7,11,16,21,23,27,61,68,72,92,118,129,136,141,235,315,329,408,446,842],[1,2,3,
5,6,11,13,16,20,21,27,68,72,85,86,99,130,141,143,235,334,360,399,404,843],[1,
2,3,4,5,6,7,11,15,16,18,19,20,22,23,24,25,27,28,30,34,63,66,67,68,69,70,109,
113,116,119,122,127,138,140,152,153,155,159,161,226,251,286,308,327,342,353,
505,515,844],[1,2,3,7,11,21,23,26,61,72,91,92,129,136,139,253,289,315,845],[1,
3,7,17,18,19,22,28,65,84,104,123,138,148,217,305,309,846],[1,2,3,7,11,18,19,
21,23,61,67,72,92,129,136,143,256,315,360,847],[1,2,4,5,6,7,12,13,15,16,20,21,
23,50,59,61,80,81,86,90,93,95,98,100,102,103,129,130,131,132,133,215,225,279,
304,318,336,363,365,378,453,464,848],[1,2,3,7,11,21,23,59,72,74,101,129,136,
144,206,303,343,397,485,849],[1,2,3,7,11,21,23,26,61,72,91,92,118,129,136,257,
315,329,850],[1,3,7,17,18,19,22,28,54,84,88,104,128,140,148,287,296,305,851],[
1,2,3,6,11,14,18,19,20,21,67,72,80,83,89,117,139,256,289,346,852],[1,2,3,6,11,
12,13,14,20,25,55,56,57,66,81,82,146,246,258,335,466,468,853],[1,2,3,6,10,11,
12,13,14,20,33,48,49,50,53,55,71,137,142,146,202,331,348,373,410,854],[1,2,3,
4,11,15,17,21,22,24,26,51,63,69,72,91,120,160,236,253,259,317,333,339,364,
855],[1,2,3,4,6,11,13,15,20,21,24,69,72,85,86,99,105,130,144,264,334,343,419,
428,856],[1,2,3,7,11,12,21,23,26,56,60,78,91,98,100,136,243,244,354,857],[1,2,
3,11,12,18,19,56,67,163,208,426,858],[1,2,3,6,11,12,20,33,52,56,57,58,64,137,
142,223,258,310,328,340,859],[1,2,3,7,11,12,18,19,21,22,23,28,56,63,67,70,72,
77,78,104,121,138,140,211,228,245,277,312,327,358,860],[1,2,3,6,11,13,20,21,
22,63,72,85,86,99,130,139,261,289,334,861],[1,2,3,7,11,12,17,18,19,21,22,23,
28,51,56,58,63,67,70,72,84,88,123,128,136,212,227,255,277,311,312,317,862],[1,
2,3,4,11,13,14,15,21,24,55,69,72,95,97,139,143,234,289,360,396,439,863],[1,2,
3,5,6,11,16,18,19,20,21,25,26,27,66,67,68,72,91,114,115,126,132,141,149,229,
235,242,285,316,323,361,864],[1,2,3,5,11,13,14,16,21,27,55,68,72,87,103,139,
144,233,289,343,372,456,865],[1,2,3,11,12,21,52,56,58,72,100,146,207,223,337,
424,460,866],[1,2,3,5,6,11,16,20,21,25,27,66,68,72,132,139,143,242,289,360,
867],[1,2,3,7,11,17,21,23,28,51,70,72,136,143,144,227,343,360,868],[1,2,3,5,6,
11,16,20,21,25,27,66,68,72,118,132,144,242,329,343,869],[1,2,3,4,6,7,11,15,17,
18,19,20,23,24,25,26,28,30,33,51,66,67,69,70,91,108,112,113,119,122,123,128,
135,142,147,155,156,160,226,260,284,311,333,344,353,514,521,870],[1,2,3,4,6,7,
11,15,20,21,22,23,24,25,26,28,30,63,66,69,70,72,91,105,119,155,164,168,226,
264,278,339,350,358,361,871],[1,2,3,6,11,13,14,17,18,19,20,22,25,26,51,55,63,
66,67,83,84,88,91,99,108,112,236,255,263,283,299,344,359,872],[1,2,3,4,5,6,7,
11,12,13,15,16,20,21,23,24,27,30,31,50,56,64,68,69,78,81,90,93,95,98,99,100,
102,103,119,131,132,134,136,240,252,336,354,378,430,441,454,479,873],[1,2,3,4,
6,11,15,18,19,20,21,24,25,26,66,67,69,72,91,105,107,113,122,124,131,229,237,
264,300,341,353,364,874],[1,2,3,4,11,13,14,15,21,24,55,69,72,95,97,118,144,
234,329,343,370,435,875],[1,3,7,17,18,19,22,28,65,84,88,104,123,125,138,296,
309,362,876],[1,2,3,4,6,11,15,20,21,22,24,25,26,63,66,69,72,91,111,168,247,
261,278,299,339,341,364,877],[1,2,3,6,10,11,12,20,25,48,52,57,58,60,64,66,71,
204,210,218,310,322,328,330,878],[1,2,3,6,7,11,12,20,21,23,25,56,60,66,78,98,
100,136,137,244,254,354,444,451,879],[1,2,3,7,11,12,17,21,23,51,56,58,78,98,
100,136,146,212,335,354,403,460,880],[1,2,3,4,5,11,12,15,16,24,27,56,60,68,69,
90,146,240,244,335,881],[1,2,3,11,12,22,56,63,125,148,209,461,882],[1,2,3,11,
13,14,18,19,22,26,55,63,67,91,111,120,231,247,259,283,347,359,883],[1,2,3,4,5,
7,10,11,12,15,16,21,23,24,26,27,28,48,62,68,69,70,72,90,91,94,98,158,164,232,
248,250,276,323,350,364,884],[1,2,3,4,7,11,13,14,15,21,22,23,24,26,28,55,63,
69,70,72,91,95,96,97,102,127,164,234,249,251,350,358,359,364,885],[1,2,3,4,6,
11,15,17,20,21,22,24,25,26,33,51,63,66,69,72,91,131,135,142,147,160,168,237,
260,278,299,317,333,341,886],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,56,
63,67,70,72,94,98,123,128,203,230,232,277,311,312,317,887],[1,2,3,4,5,7,11,15,
16,17,18,19,23,24,26,27,28,34,51,67,68,69,70,75,91,107,109,116,123,124,128,
152,153,157,159,164,201,286,300,311,313,342,350,494,495,888],[1,2,3,5,11,16,
17,21,22,26,27,51,63,68,72,91,111,157,236,247,257,313,317,323,326,889],[1,2,3,
5,11,16,17,21,22,26,27,51,63,68,72,73,91,110,141,157,200,235,239,313,317,323,
326,890],[1,2,3,5,7,11,16,21,23,27,59,68,72,101,129,136,139,141,235,289,303,
376,400,891],[1,2,3,4,6,11,15,20,21,24,25,66,69,72,118,131,143,237,329,360,
892],[1,2,3,4,6,11,15,20,21,24,25,66,69,72,131,139,144,237,289,343,893],[1,2,
3,7,11,17,18,19,21,22,23,28,51,63,67,70,72,84,88,123,128,138,140,231,255,256,
311,317,327,358,894],[1,2,3,6,11,12,13,14,20,25,55,56,60,66,81,82,146,244,246,
335,431,469,895],[1,2,3,5,6,11,14,16,20,21,27,68,72,80,83,89,117,141,144,235,
343,346,388,409,896],[1,2,3,6,7,11,12,20,23,28,33,56,57,60,64,70,78,137,142,
211,324,340,402,444,897],[1,2,3,6,11,12,14,20,49,56,57,60,64,82,83,146,238,
324,337,466,469,898],[1,2,3,6,11,14,20,21,72,74,80,83,89,117,139,206,289,346,
462,473,899],[1,2,3,6,11,14,20,21,26,72,80,83,89,91,117,144,257,343,346,900],[
1,2,3,5,6,7,11,13,14,16,17,18,19,20,23,25,26,27,28,51,55,66,67,68,70,79,83,91,
93,99,123,126,128,149,156,157,241,263,283,284,311,313,316,901],[1,2,3,5,11,13,
14,16,21,27,55,68,72,87,103,118,143,233,329,360,377,481,902],[1,2,3,4,5,7,11,
15,16,17,18,19,23,24,26,27,28,34,51,67,68,69,70,73,91,109,114,115,116,123,128,
152,153,158,159,160,200,276,285,286,311,333,342,496,512,903],[1,2,3,6,11,13,
18,19,20,21,67,72,85,86,99,118,130,256,329,334,904],[1,2,3,4,5,10,11,12,15,16,
18,19,22,24,26,27,48,62,63,67,68,69,90,91,107,114,115,124,230,248,250,285,300,
326,339,905],[1,2,3,6,11,14,20,21,26,72,80,83,89,91,117,143,253,346,360,906],[
1,2,3,5,7,11,13,14,16,21,22,23,26,27,28,55,63,68,70,72,79,87,91,93,103,110,
158,233,239,241,276,323,358,359,907],[1,2,3,6,11,12,14,20,26,49,56,64,82,83,
91,146,238,243,335,908],[1,2,3,4,6,11,14,15,20,21,24,69,72,80,83,89,105,117,
143,264,346,360,391,427,909],[1,2,3,4,6,11,13,14,15,17,20,21,22,24,25,26,51,
55,63,66,69,72,83,91,95,97,99,160,168,234,263,278,317,333,359,361,910],[1,2,3,
6,11,18,19,20,21,25,26,66,67,72,91,108,112,229,253,257,341,344,347,361,911],[
1,2,3,6,11,12,14,20,25,49,56,64,66,82,83,137,146,238,254,335,371,410,912],[1,
2,4,5,6,7,13,15,16,20,21,23,34,61,80,93,95,118,121,130,131,141,144,159,304,
370,381,388,408,412,458,913],[1,2,3,6,7,11,12,13,14,20,23,33,50,58,60,78,82,
83,133,137,142,146,150,222,356,373,403,444,469,471,914],[1,2,3,6,7,11,12,14,
20,23,32,33,57,58,64,78,82,83,106,137,142,145,146,310,325,371,402,403,466,471,
915],[1,2,4,5,6,7,12,13,14,15,16,20,21,23,30,31,32,49,78,79,81,82,87,89,90,92,
95,96,97,98,100,101,103,106,117,119,129,130,131,132,134,145,150,291,297,306,
338,357,369,378,387,436,463,467,474,483,484,486,916],[1,3,5,6,17,18,22,25,27,
33,73,84,125,135,149,161,163,362,374,455,917],[1,2,3,4,6,7,11,13,14,15,20,21,
23,24,28,29,30,32,55,69,70,76,83,86,89,92,95,96,97,99,101,102,106,117,119,129,
130,131,133,136,145,150,249,314,338,406,436,442,443,449,450,464,465,476,479,
486,918],[1,2,4,5,7,10,13,14,15,16,21,23,53,62,79,94,97,102,103,118,139,143,
144,290,367,386,396,435,456,481,919],[1,3,4,6,17,18,22,24,25,33,75,84,122,125,
147,163,168,362,447,452,920],[1,2,4,5,7,10,13,14,15,16,21,23,34,53,62,86,89,
94,105,141,143,144,150,159,292,367,391,399,409,419,488,921],[1,2,4,6,7,13,15,
20,21,23,30,74,85,95,101,105,118,119,133,144,273,320,370,397,423,428,448,
922],[1,2,4,5,6,7,13,15,16,20,21,23,30,34,85,93,95,101,119,121,133,139,141,
143,159,320,376,381,404,413,425,439,923],[1,2,6,7,12,13,20,23,32,52,57,64,78,
81,106,133,137,146,269,298,328,402,414,468,470,924],[1,2,4,5,6,7,12,14,15,16,
20,21,23,30,31,32,64,78,79,80,82,85,87,89,90,92,96,97,98,100,101,106,117,119,
129,131,132,134,145,288,307,319,325,349,369,387,430,436,437,445,467,482,483,
486,925],[1,2,4,5,6,7,10,15,16,20,21,23,32,34,62,71,80,85,94,105,106,141,143,
144,159,294,367,388,404,427,428,488,926],[1,2,3,6,7,10,11,12,20,21,23,33,48,
57,60,71,78,94,100,136,137,142,218,348,351,392,402,444,451,927],[1,3,4,6,17,
18,22,24,25,33,75,84,122,147,148,163,168,305,447,452,928],[1,2,6,7,12,13,14,
20,23,50,52,57,78,82,133,137,146,150,221,274,356,373,402,414,466,929],[1,3,4,
6,17,18,19,22,24,25,33,75,84,88,113,122,147,154,165,166,167,168,296,368,394,
407,447,930],[1,3,4,6,17,18,22,24,25,26,33,84,107,111,125,127,135,154,160,166,
362,398,422,503,520,931],[1,2,4,5,6,7,12,13,14,15,16,20,21,23,30,31,32,59,61,
64,80,81,82,85,87,90,95,97,98,100,103,106,117,119,129,130,131,132,134,150,279,
301,304,307,332,352,363,378,430,437,445,463,474,482,484,932],[1,2,3,5,6,7,11,
13,14,16,20,21,23,27,28,29,31,32,55,68,70,76,79,83,86,87,89,92,93,99,101,103,
106,117,129,130,132,133,134,136,145,150,241,291,295,369,387,406,433,440,441,
442,443,450,453,490,933],[1,2,4,5,6,7,12,13,14,15,16,20,21,23,30,31,32,50,78,
81,82,86,87,90,92,93,95,97,98,100,101,102,103,106,117,119,129,130,131,132,133,
134,150,295,314,336,356,365,449,453,454,463,464,474,482,483,484,490,934],[1,2,
4,5,6,7,14,15,16,20,21,23,34,61,85,87,96,105,117,121,132,139,144,159,301,372,
401,420,425,428,458,935],[1,2,7,10,13,14,21,23,53,74,86,89,94,118,121,139,150,
272,292,386,393,416,462,487,936],[1,2,4,5,7,13,15,16,21,23,34,59,86,93,95,121,
139,141,143,159,215,381,399,400,432,439,487,937],[1,2,6,12,14,20,21,49,52,60,
82,89,100,117,137,146,214,274,306,410,424,451,469,938],[1,2,5,6,7,14,16,20,21,
23,31,74,80,87,101,134,139,141,144,145,275,288,372,376,388,397,473,939],[1,2,
3,7,10,11,12,21,23,48,52,58,78,94,100,136,146,204,331,351,403,414,424,460,
940],[1,2,5,6,7,13,16,20,21,23,31,74,85,92,103,118,133,134,141,143,268,321,
404,446,448,472,481,941],[1,2,4,5,7,12,15,16,21,23,29,34,76,78,90,92,98,101,
105,118,139,141,159,282,376,382,423,434,446,477,942],[1,2,3,6,11,12,14,20,21,
33,49,57,58,82,83,89,100,117,137,142,146,220,306,392,410,460,466,471,943],[1,
2,3,6,11,12,14,20,21,33,58,60,64,80,82,83,100,117,137,142,146,307,322,451,460,
469,470,471,944],[1,2,6,7,12,13,14,20,23,49,52,60,78,81,137,145,146,150,214,
269,357,410,414,431,444,945],[1,3,5,6,17,18,19,22,25,27,33,73,84,88,126,135,
149,154,161,165,166,167,296,374,384,398,418,946],[1,2,5,6,13,16,20,21,59,74,
80,103,130,132,139,141,144,268,279,388,400,456,473,485,947],[1,2,3,6,10,11,12,
13,14,20,48,53,57,60,71,81,82,83,99,146,218,293,331,431,466,468,469,948],[1,2,
3,5,6,7,11,13,14,16,20,21,23,25,27,28,29,31,32,66,68,70,76,79,80,83,85,87,92,
93,99,101,103,106,117,129,130,132,133,134,136,145,150,162,170,262,267,288,321,
387,390,433,438,440,441,442,443,445,484,490,949],[1,2,4,6,13,15,20,21,61,74,
80,95,105,130,131,139,143,273,304,401,427,439,473,480,950],[1,2,4,5,6,7,12,13,
15,16,20,21,23,30,31,32,64,78,80,81,85,86,90,92,93,95,98,100,101,102,103,106,
119,129,130,131,132,133,134,298,318,320,321,352,378,430,437,445,449,453,454,
464,483,490,951],[1,2,3,4,6,11,15,20,22,24,33,63,69,125,127,142,148,154,167,
251,429,461,510,520,952],[1,2,3,6,11,20,22,26,33,63,91,120,125,142,148,154,
167,259,429,461,493,513,953],[1,2,3,6,11,20,22,26,33,63,91,111,125,142,148,
154,167,247,429,461,497,503,954],[1,2,4,5,6,7,10,13,14,15,16,20,21,23,29,30,
31,53,62,71,76,79,86,87,89,93,94,95,96,97,102,103,117,119,129,130,131,132,133,
134,145,150,265,290,292,345,369,395,433,453,464,465,474,478,484,486,955],[1,2,
4,5,6,7,12,13,15,16,20,21,23,34,80,81,86,90,98,105,133,141,143,144,159,318,
382,388,399,419,427,475,956],[1,2,4,5,6,7,12,14,15,16,20,21,23,34,82,85,89,90,
98,105,141,143,144,145,159,349,382,391,404,409,428,475,957],[1,2,4,5,7,10,13,
14,15,16,21,23,53,62,87,93,94,95,96,118,139,143,144,345,367,370,372,377,386,
439,958],[1,2,4,6,7,14,15,20,21,23,30,74,80,92,97,105,119,139,143,145,266,319,
396,427,434,472,473,959],[1,2,7,12,21,23,29,74,76,78,92,98,101,121,143,144,
271,282,397,413,415,472,475,960],[1,3,4,17,18,19,22,24,26,84,88,107,111,127,
160,163,296,422,455,961],[1,3,4,17,18,22,24,26,84,107,111,127,160,163,217,422,
455,962],[1,2,5,7,13,14,16,21,23,74,86,87,92,93,118,141,143,150,275,295,377,
393,399,446,472,963],[1,2,7,10,21,23,59,74,92,94,121,143,144,216,272,367,415,
432,472,485,964],[1,2,7,10,21,23,61,74,94,101,121,143,144,219,272,367,397,413,
458,480,965],[1,2,3,6,11,18,19,20,33,54,65,67,142,163,165,166,205,383,426,511,
517,966],[1,2,4,13,15,21,59,74,86,95,105,118,144,215,273,370,393,405,419,485,
967],[1,2,5,7,13,14,16,21,23,74,79,89,101,103,139,141,144,150,268,291,376,397,
409,456,462,968],[1,2,6,7,12,14,20,23,32,52,60,64,78,82,106,137,145,146,274,
325,330,371,414,444,469,969],[1,2,4,5,7,10,15,16,21,23,34,59,62,92,94,105,118,
139,141,159,216,386,400,405,434,446,488,970],[1,2,4,5,7,10,15,16,21,23,34,61,
62,94,101,105,118,139,141,159,219,376,386,401,408,423,488,971],[1,3,4,6,17,18,
22,24,25,26,33,84,107,111,127,135,148,154,160,166,305,398,422,497,510,972],[1,
2,4,5,6,7,12,13,14,15,16,20,21,23,29,30,31,32,64,76,78,79,81,82,90,92,93,96,
98,101,102,106,117,119,130,131,132,133,134,145,150,169,170,267,270,282,298,
325,387,430,433,436,449,454,463,465,467,490,973],[1,2,6,7,12,14,20,21,23,74,
82,85,89,98,118,121,139,145,271,349,416,425,448,462,477,974],[1,2,4,5,7,14,15,
16,21,23,34,59,87,89,96,105,118,121,143,159,213,377,391,405,416,420,432,975],[
1,2,3,5,6,11,16,20,22,27,33,63,68,110,125,142,148,154,167,239,429,461,506,522,
976],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,20,21,23,24,27,30,31,48,53,62,68,69,
71,78,79,81,82,83,87,90,93,94,95,96,97,99,100,102,103,119,131,132,134,136,250,
290,293,345,351,378,395,440,441,454,467,476,479,482,977],[1,2,5,6,14,16,20,21,
61,74,85,87,117,118,132,141,143,275,301,377,404,408,448,480,978],[1,3,5,6,17,
18,22,25,27,33,73,84,135,148,149,161,163,305,374,455,979],[1,2,6,12,14,20,21,
52,57,64,80,82,100,117,137,146,274,307,328,392,424,466,470,980],[1,2,4,5,6,7,
13,15,16,20,21,23,34,59,80,102,103,105,118,121,130,132,143,159,279,379,405,
412,427,432,481,981],[1,2,4,5,7,13,14,15,16,21,23,34,89,92,93,95,96,118,121,
141,144,150,159,338,370,381,409,415,416,446,982],[1,2,3,4,6,7,11,13,14,15,20,
21,23,24,25,28,29,30,32,66,69,70,76,80,83,85,92,95,96,97,99,101,102,106,117,
119,129,130,131,133,136,145,150,155,169,226,270,319,320,390,436,437,438,442,
443,449,465,474,476,479,983],[1,2,6,12,13,20,21,50,52,57,81,86,100,130,137,
146,221,269,365,373,392,424,468,984],[1,2,6,7,12,13,20,21,23,74,80,81,86,98,
118,121,133,139,271,318,393,412,473,477,487,985],[1,2,5,14,16,21,59,74,87,89,
139,141,144,213,275,372,400,409,462,485,986],[1,2,3,6,11,18,19,20,21,33,67,72,
142,163,165,166,229,383,426,987],[1,2,3,6,11,18,19,20,22,33,63,67,142,163,165,
166,231,383,426,988],[1,2,4,5,7,13,14,15,16,21,23,34,79,86,97,101,102,121,139,
141,143,150,159,314,376,389,396,399,413,487,989],[1,2,4,5,6,7,14,15,16,20,21,
23,30,34,79,80,92,97,118,119,121,141,144,145,159,319,388,389,412,415,435,446,
990],[1,2,4,6,14,15,20,21,59,74,85,97,105,117,118,131,144,266,332,405,428,435,
448,485,991],[1,2,4,14,15,21,61,74,89,97,105,139,143,224,266,391,396,401,462,
480,992],[1,2,3,6,11,12,13,20,21,33,57,58,64,81,85,99,100,130,137,142,146,310,
352,371,392,457,460,468,993],[1,2,6,12,13,20,21,52,60,64,81,85,100,130,137,
146,269,330,352,371,424,431,451,994],[1,2,3,6,7,11,12,13,20,23,32,33,58,60,64,
78,81,99,106,133,137,142,146,298,322,403,431,444,457,470,995],[1,3,4,5,6,7,17,
18,22,24,25,26,27,28,30,33,34,54,73,84,104,107,111,112,115,116,122,127,128,
135,140,149,152,155,156,158,160,161,287,374,375,422,491,496,505,514,518,996],[
1,3,4,5,6,7,17,18,19,22,24,25,26,27,28,30,33,34,65,73,84,104,107,108,109,111,
113,114,123,127,135,138,149,152,155,156,158,160,161,309,374,380,422,500,512,
515,518,521,997],[1,3,5,17,18,19,22,26,27,84,88,110,115,120,157,163,296,411,
452,998],[1,3,6,7,17,18,22,25,28,33,54,84,104,128,135,140,154,163,166,287,398,
455,492,511,999],[1,2,3,6,10,11,12,20,26,33,48,71,91,137,142,146,248,331,348,
1000],[1,2,4,5,6,7,14,15,16,20,21,23,34,59,79,85,97,117,121,131,139,141,143,
159,332,389,396,400,404,425,432,1001],[1,2,4,5,7,13,14,15,16,21,23,34,79,89,
101,102,103,105,118,121,143,150,159,291,379,391,413,416,423,481,1002],[1,2,4,
7,13,14,15,21,23,74,89,92,95,96,105,139,143,150,273,338,391,434,439,462,472,
1003],[1,2,5,13,16,21,61,74,86,103,118,141,143,225,268,393,399,408,480,481,
1004],[1,2,4,5,7,13,15,16,21,23,34,61,86,102,103,105,121,139,144,159,225,379,
401,419,456,458,487,1005],[1,2,4,5,6,7,13,15,16,20,21,23,31,34,85,92,102,103,
105,121,133,134,139,144,159,321,379,415,425,428,434,456,1006],[1,3,6,7,17,18,
19,22,25,28,33,65,84,104,123,135,138,154,163,166,309,398,455,498,517,1007],[1,
3,6,7,17,18,19,22,25,28,33,65,84,104,123,138,147,163,166,167,309,407,452,492,
517,1008],[1,2,7,12,21,23,59,61,74,98,100,121,129,143,144,271,363,432,458,475,
480,485,1009],[1,2,4,5,6,7,14,15,16,20,21,23,31,34,80,87,96,101,105,118,121,
134,143,145,159,288,377,412,413,420,423,427,1010],[1,2,3,6,7,11,12,13,14,20,
23,33,49,57,58,78,81,99,137,142,145,146,150,220,357,402,403,410,457,468,
1011],[1,3,5,17,18,22,26,27,84,110,115,120,157,163,217,411,452,1012],[1,2,6,7,
10,20,21,23,32,71,74,80,85,94,106,118,121,139,272,294,386,412,425,448,473,
1013],[1,2,3,6,7,11,18,19,20,23,28,33,67,70,77,104,142,163,165,166,245,383,
426,492,498,1014],[1,2,3,6,11,12,13,20,21,33,50,58,60,81,86,99,100,130,137,
142,146,222,365,373,431,451,457,460,1015],[1,2,4,5,7,12,14,15,16,21,23,49,79,
87,90,96,97,98,118,139,143,144,297,372,377,396,435,475,477,1016],[1,3,4,5,6,7,
17,18,22,24,25,26,27,28,31,33,34,54,75,84,104,107,110,112,115,116,120,122,128,
140,147,149,151,153,157,162,164,168,287,375,411,447,495,504,507,509,516,
1017],[1,2,4,5,7,12,13,15,16,21,23,50,90,93,95,98,102,103,118,139,143,144,336,
370,439,456,475,477,481,1018],[1,3,5,6,17,18,22,25,26,27,33,84,110,115,120,
125,147,157,166,167,362,407,411,506,513,1019],[1,3,4,5,6,7,17,18,19,22,24,25,
26,27,28,31,33,34,65,75,84,104,108,109,110,115,120,122,123,124,126,138,147,
151,153,157,162,164,168,309,385,411,447,494,501,502,504,519,1020],[1,3,5,6,17,
18,22,25,26,27,33,84,110,115,120,147,148,157,166,167,305,407,411,493,522,
1021],[1,2,4,7,13,14,15,21,23,74,86,97,101,102,105,118,144,150,266,314,393,
397,419,423,435,1022],[1,2,4,5,7,14,15,16,21,23,34,61,79,89,97,118,121,141,
144,159,224,389,408,409,416,435,458,1023],[1,2,4,5,7,12,15,16,21,23,34,59,61,
90,98,100,105,118,129,139,141,159,363,382,400,401,405,408,477,1024],[1,3,6,7,
17,18,22,25,28,33,54,84,104,128,140,147,163,166,167,287,407,452,498,511,
1025],[1,2,4,5,7,13,14,15,16,21,23,34,86,87,92,93,96,105,121,139,144,150,159,
295,372,415,419,420,434,487,1026],[1,3,4,5,6,7,17,18,19,22,24,25,26,27,28,31,
33,34,65,75,77,88,107,108,109,110,112,113,114,116,120,123,124,126,128,138,140,
147,149,151,153,157,162,164,168,366,380,394,417,421,494,495,499,501,502,507,
509,516,519,1027],[1,3,4,6,17,19,22,24,25,26,33,88,111,124,125,127,147,148,
154,160,165,368,459,489,497,503,510,520,1028],[1,3,4,5,6,7,17,18,19,22,24,25,
26,27,28,30,33,34,65,73,77,88,108,109,111,112,113,114,115,116,122,123,124,126,
127,128,135,138,140,152,155,156,158,160,161,385,417,418,421,459,491,496,500,
505,508,512,514,515,521,1029],[1,3,5,6,17,19,22,25,26,27,33,88,110,114,120,
125,135,148,157,165,167,366,384,489,493,506,513,522,1030],[1,2,8,9,10,36,37,
171,175,184,525,1031],[1,2,7,8,9,23,36,37,43,44,45,171,187,190,523,524,525,
1032],[1,2,8,9,21,36,37,171,188,193,525,1033],[1,2,5,8,9,16,36,37,42,46,171,
183,192,525,527,1034],[1,2,8,9,14,36,37,171,174,189,525,1035],[1,2,8,9,13,36,
37,171,176,185,525,1036],[1,2,4,8,9,15,36,37,41,47,171,182,191,525,526,1037],[
1,4,5,7,8,9,34,41,42,43,44,46,47,171,194,196,523,526,527,1038],[1,4,5,7,8,9,
34,41,42,44,45,46,47,171,195,198,524,526,527,1039],[1,2,7,10,21,23,35,94,172,
173,528,529,530,1040],[1,2,21,35,139,172,528,1041],[1,2,21,35,118,172,528,
1042],[1,2,8,12,13,36,50,52,57,176,221,531,1043],[1,2,8,12,14,36,49,52,60,174,
214,531,1044],[1,2,3,8,10,11,12,36,48,52,58,175,204,531,1045],[1,2,3,8,11,12,
36,52,56,58,180,223,531,1046],[1,2,6,8,12,20,36,39,52,60,64,178,330,531,
1047],[1,2,6,8,12,20,36,38,52,57,64,179,328,531,1048],[1,3,9,17,18,22,84,181,
217,1049],[1,2,3,8,11,12,36,40,52,56,177,199,531,1050],[1,2,6,8,12,13,20,36,
39,52,81,137,176,178,180,269,532,543,546,1051],[1,2,3,8,10,11,12,36,40,48,52,
58,175,177,180,204,532,541,552,1052],[1,2,6,8,12,14,20,36,38,52,82,137,174,
179,180,274,532,545,551,1053],[1,2,6,8,12,13,20,36,52,81,137,185,269,531,
1054],[1,2,8,13,21,36,74,86,118,176,393,534,1055],[1,2,7,8,10,21,23,36,74,94,
121,175,272,534,1056],[1,2,4,8,13,15,21,36,74,95,105,185,273,534,1057],[1,2,5,
8,13,16,21,36,74,103,141,185,268,534,1058],[1,2,3,8,11,18,19,36,40,54,65,67,
177,205,535,1059],[1,2,7,8,12,23,36,44,52,78,146,187,414,531,1060],[1,2,7,8,
21,23,36,44,74,92,143,187,472,534,1061],[1,2,4,8,14,15,21,36,74,97,105,189,
266,534,1062],[1,2,8,12,21,36,52,100,146,188,424,531,1063],[1,2,6,8,20,21,36,
38,74,85,118,179,448,534,1064],[1,2,5,8,14,16,21,36,74,87,141,189,275,534,
1065],[1,2,7,8,12,21,23,36,74,98,121,180,271,534,1066],[1,2,6,8,20,21,36,39,
74,80,139,178,473,534,1067],[1,2,3,8,11,21,36,40,72,74,177,206,534,1068],[1,2,
6,8,12,14,20,36,52,82,137,189,274,531,1069],[1,2,8,21,36,61,74,143,188,480,
534,1070],[1,2,7,8,21,23,36,44,74,101,144,187,397,534,1071],[1,2,8,21,36,59,
74,144,188,485,534,1072],[1,2,8,14,21,36,74,89,139,174,462,534,1073],[1,2,3,9,
10,11,12,37,48,52,58,184,204,536,1074],[1,2,9,21,37,61,74,143,193,480,549,
1075],[1,2,3,5,9,11,16,17,27,37,46,51,68,73,181,192,200,544,563,1076],[1,2,3,
8,10,11,12,36,40,48,57,60,175,177,180,218,541,542,548,1077],[1,2,3,7,9,11,17,
18,19,23,28,37,43,45,51,67,70,123,128,181,190,311,537,539,544,1078],[1,2,7,9,
21,23,37,43,45,59,121,143,190,432,547,1079],[1,2,7,9,10,21,23,37,59,92,94,184,
216,547,1080],[1,2,3,9,11,17,21,22,37,51,63,72,181,193,317,544,1081],[1,2,7,9,
10,21,23,37,61,94,101,184,219,549,1082],[1,2,6,8,12,14,20,36,39,49,137,146,
178,180,189,410,543,554,556,1083],[1,2,3,8,10,11,12,36,40,48,146,175,177,180,
331,541,550,556,1084],[1,2,9,21,37,59,74,144,193,485,547,1085],[1,2,3,6,8,10,
11,12,13,14,20,36,38,39,40,48,53,71,81,82,83,99,174,175,176,177,178,179,180,
293,533,538,540,541,545,546,553,1086],[1,2,3,4,9,11,15,17,24,26,37,41,51,69,
91,160,181,182,333,544,562,1087],[1,2,7,9,21,23,37,43,45,61,121,144,190,458,
549,1088],[1,2,3,5,9,11,16,17,26,27,37,42,51,68,91,157,181,183,313,544,576,
1089],[1,2,5,9,16,21,37,42,61,118,141,183,408,549,1090],[1,2,4,9,15,21,37,41,
59,105,118,182,405,547,1091],[1,2,6,8,12,13,20,36,39,60,81,146,176,178,180,
431,546,548,556,1092],[1,2,3,9,10,11,12,17,37,48,51,56,181,184,203,544,1093],[
1,2,6,8,12,13,20,36,39,50,137,146,178,180,185,373,543,550,557,1094],[1,2,4,9,
15,21,37,41,61,105,139,182,401,549,1095],[1,2,3,8,11,12,21,36,40,58,100,146,
177,180,188,460,552,556,558,1096],[1,2,3,4,9,11,15,17,24,37,47,51,69,75,181,
191,201,544,564,1097],[1,2,5,9,16,21,37,42,59,139,141,183,400,547,1098],[1,2,
3,8,11,12,13,36,40,50,58,60,177,180,185,222,548,552,557,1099],[1,2,3,8,11,12,
14,36,40,49,57,58,177,180,189,220,542,552,554,1100],[1,2,3,8,10,11,12,13,14,
36,40,48,49,50,53,55,175,177,180,185,189,202,541,554,557,568,570,1101],[1,2,3,
6,8,10,11,12,20,33,36,38,39,40,48,71,137,142,175,177,178,179,180,197,348,541,
543,551,553,569,1102],[1,2,4,9,14,15,21,37,47,61,89,97,191,224,549,1103],[1,2,
4,9,13,15,21,37,47,59,86,95,191,215,547,1104],[1,2,8,12,13,36,50,52,57,180,
185,221,532,542,557,1105],[1,2,5,9,14,16,21,37,46,59,87,89,192,213,547,1106],[
1,2,5,9,13,16,21,37,46,61,86,103,192,225,549,1107],[1,2,3,6,8,11,12,14,20,33,
36,38,39,40,58,82,83,137,142,174,177,178,179,180,197,471,538,543,545,552,569,
1108],[1,2,6,7,8,12,13,14,20,23,36,39,44,49,78,81,145,150,176,178,180,187,189,
357,546,554,555,565,573,1109],[1,2,3,6,8,11,12,13,20,33,36,38,39,40,58,81,99,
137,142,176,177,178,179,180,197,457,540,546,551,552,569,1110],[1,2,3,7,8,11,
12,23,36,40,44,58,78,146,177,180,187,403,550,552,555,1111],[1,2,6,8,12,14,20,
36,38,57,82,146,174,179,180,466,542,545,556,1112],[1,2,6,8,12,14,20,36,38,49,
137,146,179,180,189,410,550,551,554,1113],[1,2,6,8,12,14,20,21,36,38,49,82,89,
100,117,174,179,180,188,189,306,545,554,558,571,575,1114],[1,2,6,8,12,20,21,
36,38,60,100,137,179,180,188,451,548,551,558,1115],[1,2,8,12,14,36,49,52,60,
180,189,214,532,548,554,1116],[1,2,3,7,8,10,11,12,21,23,36,40,44,48,78,94,100,
136,175,177,180,187,188,351,541,555,558,561,566,1117],[1,2,6,7,8,12,20,23,36,
39,44,60,78,137,178,180,187,444,543,548,555,1118],[1,2,6,8,12,13,20,36,38,50,
137,146,179,180,185,373,551,556,557,1119],[1,2,6,8,12,14,20,36,38,60,82,146,
174,179,180,469,545,548,550,1120],[1,2,6,8,12,20,21,36,39,57,100,137,178,180,
188,392,542,543,558,1121],[1,2,6,8,12,13,20,36,39,57,81,146,176,178,180,468,
542,546,550,1122],[1,2,8,12,21,36,52,100,146,180,188,424,532,550,558,1123],[1,
2,7,8,12,23,36,44,52,78,146,180,187,414,532,555,556,1124],[1,2,6,7,8,12,13,14,
20,23,36,38,44,50,78,82,133,150,174,179,180,185,187,356,545,555,557,572,574,
1125],[1,2,6,7,8,12,20,23,36,38,44,57,78,137,179,180,187,402,542,551,555,
1126],[1,2,6,8,12,13,20,21,36,39,50,81,86,100,130,176,178,180,185,188,365,546,
557,558,567,577,1127],[1,3,4,5,7,9,17,18,24,26,27,28,34,42,43,47,75,107,116,
128,153,157,164,181,194,495,537,564,576,1128],[1,2,7,8,10,13,14,21,23,36,44,
53,86,89,94,150,174,175,176,185,187,188,189,292,533,566,570,572,573,575,577,
1129],[1,2,5,6,7,9,16,20,23,29,31,32,37,46,76,106,134,170,186,192,267,560,581,
1130],[1,3,4,5,7,9,17,19,24,26,27,28,34,42,45,47,75,109,123,124,153,157,164,
181,198,494,539,564,576,1131],[1,2,3,6,7,8,11,13,14,20,21,23,36,39,40,44,55,
83,89,130,136,145,150,174,177,178,185,187,188,189,450,538,561,565,567,568,572,
575,1132],[1,2,4,6,7,9,15,20,23,29,30,32,37,47,76,106,119,169,186,191,270,560,
583,1133],[1,2,6,7,8,10,13,14,20,21,23,36,38,39,44,53,71,94,117,130,133,145,
175,178,179,185,187,188,189,478,553,565,566,567,570,571,574,1134],[1,2,7,9,10,
21,23,29,37,76,94,129,184,186,265,560,1135],[1,2,9,12,21,37,52,100,146,193,
424,536,1136],[1,3,4,5,7,9,17,18,24,26,27,28,34,41,43,46,73,115,116,128,152,
158,160,181,196,496,537,562,563,1137],[1,2,3,6,7,8,11,13,14,20,21,23,36,38,40,
44,55,86,99,117,133,136,150,176,177,179,185,187,188,189,406,540,561,568,571,
573,574,577,1138],[1,3,6,8,18,33,38,39,40,54,163,166,197,511,535,1139],[1,3,4,
5,7,9,17,19,24,26,27,28,34,41,45,46,73,109,114,123,152,158,160,181,195,512,
539,562,563,1140],[1,2,7,9,12,23,37,43,45,52,78,146,190,414,536,1141],[1,2,4,
5,7,9,10,15,16,21,23,34,37,41,42,43,45,46,47,62,94,105,141,159,182,183,184,
190,191,192,193,194,195,196,198,488,559,578,579,580,582,584,585,1142],[1,7,9,
29,35,45,173,186,1143],[1,2,3,10,11,12,17,48,51,52,56,58,199,203,204,212,223,
586,587,588,1144],[1,2,3,11,12,18,19,21,52,54,56,65,67,72,74,100,199,205,206,
207,208,229,256,312,595,619,657,1145],[1,2,3,10,11,12,17,48,51,52,56,57,58,60,
199,203,204,212,218,223,244,258,324,588,611,614,696,1146],[1,2,3,7,10,11,12,
17,21,23,28,29,48,51,56,59,61,70,72,76,78,92,94,98,100,101,129,136,203,207,
211,216,219,227,232,265,282,303,315,351,354,363,442,483,596,609,628,678,755,
1147],[1,2,3,10,11,12,17,18,19,22,48,51,56,63,67,84,88,203,208,209,217,230,
255,296,599,613,1148],[1,2,3,6,10,11,12,13,14,17,20,25,33,48,49,50,51,52,53,
55,56,58,64,66,71,81,82,83,99,135,137,142,147,199,202,203,204,210,212,223,238,
246,252,254,260,263,269,274,293,340,348,457,471,588,590,597,602,608,612,654,
702,1149],[1,2,3,10,11,12,13,14,18,19,22,26,48,49,50,53,54,55,63,65,67,91,111,
120,202,205,230,231,247,248,259,283,347,359,592,610,643,694,883,1150],[1,2,3,
4,5,7,10,11,12,13,14,15,16,21,23,24,27,28,34,48,49,50,53,55,62,68,69,70,72,74,
79,87,90,93,94,95,96,97,98,102,103,105,121,141,152,153,159,202,206,228,232,
233,234,235,241,249,250,264,266,268,271,272,273,275,286,290,297,336,345,379,
381,382,389,420,488,591,593,594,630,631,644,695,701,706,707,708,1151],[1,2,3,
10,11,12,17,48,51,56,146,203,331,335,337,683,1152],[1,2,3,6,11,12,14,17,20,21,
22,49,51,56,57,58,63,64,72,80,82,83,89,100,117,207,209,212,220,238,258,306,
307,310,317,346,601,604,607,666,697,1153],[1,2,3,5,11,12,16,17,21,22,26,27,51,
56,58,63,68,72,73,91,100,110,111,141,157,200,207,209,212,235,236,239,247,257,
302,313,317,323,326,607,625,641,655,889,890,1154],[1,2,3,7,10,11,12,17,21,23,
28,48,51,56,57,60,70,72,78,94,98,100,136,203,207,211,218,227,232,244,258,324,
351,354,596,600,604,679,696,1155],[1,2,3,11,12,17,21,22,51,56,58,63,72,100,
143,207,209,212,317,360,607,633,1156],[1,2,3,6,11,12,13,17,20,21,22,50,51,56,
58,60,63,64,72,81,85,86,99,100,130,207,209,212,222,244,252,317,322,334,352,
365,598,600,607,650,673,1157],[1,2,3,7,11,12,18,19,21,22,23,28,52,56,63,67,70,
72,77,78,100,104,121,138,140,199,207,208,209,211,228,231,245,261,277,312,327,
358,595,605,672,684,784,860,1158],[1,2,3,6,11,12,13,18,19,20,21,50,52,56,57,
64,67,72,81,85,86,99,100,130,199,207,208,221,252,258,312,328,334,352,365,595,
598,604,627,636,1159],[1,2,3,4,5,6,10,11,12,15,16,17,18,19,20,22,24,25,27,33,
48,51,56,62,63,64,66,67,68,69,71,73,75,84,88,90,113,122,126,135,137,142,147,
149,161,168,200,201,203,208,209,210,230,240,250,254,255,260,278,308,316,340,
348,353,374,394,418,447,589,599,602,618,639,647,686,837,1160],[1,2,3,7,10,11,
12,17,18,19,21,22,23,28,48,51,52,56,58,63,67,70,72,78,84,88,94,98,100,123,128,
136,199,203,204,207,208,209,211,212,223,227,230,232,255,277,311,312,317,351,
354,588,595,596,599,603,605,607,862,887,1161],[1,2,3,6,11,12,14,18,19,20,21,
49,52,56,60,64,67,72,80,82,83,89,100,117,199,207,208,214,238,244,306,307,312,
330,346,595,600,601,621,642,1162],[1,2,3,10,11,12,17,48,51,52,56,58,146,199,
203,204,212,223,331,335,337,588,626,669,683,1163],[1,2,3,11,12,18,19,21,52,56,
67,72,100,139,199,207,208,289,312,595,671,1164],[1,2,3,6,7,10,11,12,13,14,17,
20,21,23,25,28,32,48,49,50,51,53,55,56,64,66,70,71,72,78,80,81,82,83,85,86,89,
94,98,99,100,106,117,130,133,136,145,150,202,203,207,210,211,227,232,238,246,
252,263,292,293,294,298,306,307,318,325,334,346,349,351,352,354,356,357,365,
390,406,438,443,450,463,478,596,597,598,601,653,750,767,801,817,823,826,
1165],[1,2,3,6,7,10,11,12,17,20,21,23,25,26,28,33,48,51,56,64,66,70,71,72,78,
91,94,98,100,135,136,137,142,147,151,156,203,207,210,211,227,232,236,243,248,
254,260,284,340,341,348,351,354,355,361,596,602,606,640,665,752,787,1166],[1,
2,3,6,10,11,12,17,18,19,20,22,25,33,48,51,56,63,64,66,67,71,84,88,135,137,142,
147,154,165,166,167,203,208,209,210,230,254,255,260,340,348,368,383,384,398,
407,429,599,602,637,680,734,798,1167],[1,2,3,10,11,12,17,18,19,22,48,51,56,63,
67,84,88,146,203,208,209,230,255,331,335,337,599,683,711,1168],[1,2,3,10,11,
12,17,18,19,22,48,51,56,57,60,63,67,84,88,203,208,209,218,230,244,255,258,324,
599,656,670,696,1169],[1,2,3,4,5,10,11,12,15,16,17,24,26,27,48,51,52,56,58,62,
68,69,73,75,90,91,157,160,199,200,201,203,204,212,223,236,240,243,248,250,281,
302,313,333,588,589,606,624,655,662,691,758,1170],[1,2,3,11,12,18,19,21,52,56,
67,72,100,118,199,207,208,312,329,595,660,1171],[1,2,3,11,12,17,21,22,51,56,
58,63,72,100,144,207,209,212,317,343,607,649,1172],[1,2,3,10,11,12,17,26,48,
51,52,56,58,91,199,203,204,212,223,236,243,248,588,606,773,1173],[1,2,3,4,11,
12,15,17,21,22,24,26,51,56,58,63,69,72,75,91,100,105,120,127,160,201,207,209,
212,236,251,253,259,264,281,317,333,339,364,607,652,664,691,802,855,1174],[1,
2,3,7,10,11,12,17,21,23,28,48,51,56,70,72,78,94,98,100,136,146,203,207,211,
227,232,331,335,337,351,354,596,629,667,683,1175],[1,2,3,4,5,6,7,10,11,12,13,
14,15,16,17,20,21,23,24,25,27,28,30,31,48,49,50,51,53,55,56,62,64,66,68,69,70,
71,72,73,75,78,79,81,82,83,87,90,93,94,95,96,97,98,99,100,102,103,119,131,132,
134,136,155,162,200,201,202,203,207,210,211,226,227,232,233,234,237,238,240,
241,242,246,249,250,252,262,263,290,293,297,336,345,351,354,378,395,430,440,
441,454,467,476,479,482,589,596,597,635,638,644,646,663,688,827,873,977,
1176],[1,2,3,6,10,11,12,13,14,17,18,19,20,22,25,26,48,49,50,51,53,55,56,63,64,
66,67,71,81,82,83,84,88,91,99,108,112,202,203,208,209,210,230,236,238,243,246,
248,252,255,263,283,293,299,344,359,597,599,606,622,634,693,694,872,1177],[1,
2,3,5,11,12,16,17,26,27,51,52,56,58,68,73,91,157,200,212,223,236,302,313,587,
655,773,1178],[1,2,3,4,6,7,11,13,14,15,17,20,21,23,24,25,28,29,30,32,51,55,59,
61,66,69,70,72,75,76,80,83,85,86,89,92,95,96,97,99,101,102,106,117,119,129,
130,131,133,136,145,150,155,169,201,215,224,226,227,234,237,249,263,270,303,
304,314,315,319,320,332,334,338,346,390,406,436,437,438,442,443,449,450,464,
465,474,476,479,486,609,688,744,751,760,799,801,918,983,1179],[1,2,3,5,6,7,11,
13,14,16,17,20,21,23,25,27,28,29,31,32,51,55,59,61,66,68,70,72,73,76,79,80,83,
85,86,87,89,92,93,99,101,103,106,117,129,130,132,133,134,136,145,150,162,170,
200,213,225,227,233,241,242,262,263,267,279,288,291,295,301,303,315,321,334,
346,369,387,390,406,433,438,440,441,442,443,445,450,453,484,490,609,638,725,
726,792,793,801,933,949,1180],[1,2,3,5,6,11,16,17,18,19,20,22,25,27,33,51,63,
66,67,68,73,84,88,126,135,142,147,149,154,161,165,166,167,200,217,255,260,296,
308,316,368,374,383,384,398,407,418,429,613,639,704,734,946,1181],[1,2,3,6,11,
12,13,17,20,33,50,51,52,56,57,58,60,64,81,99,137,142,212,221,222,223,244,252,
269,310,322,324,330,340,457,587,608,611,673,716,781,788,1182],[1,2,3,6,11,12,
13,20,33,50,52,56,57,58,60,64,81,99,137,142,199,221,222,223,252,258,269,310,
324,328,330,340,457,586,608,614,636,781,829,859,1183],[1,2,3,4,6,11,15,17,18,
19,20,22,24,25,33,51,63,66,67,69,75,84,88,113,122,135,142,147,154,165,166,167,
168,201,217,255,260,278,296,353,368,383,384,394,398,407,429,447,613,618,705,
734,930,1184],[1,2,3,6,11,12,14,17,20,33,49,51,52,56,57,58,60,64,82,83,137,
142,212,214,220,223,238,258,274,310,322,324,328,340,471,587,612,614,697,788,
796,859,1185],[1,2,3,6,11,12,14,20,33,49,52,56,57,58,60,64,82,83,137,142,199,
214,220,223,238,244,274,322,324,328,330,340,471,586,611,612,621,716,796,829,
1186],[1,2,3,4,11,12,15,17,24,26,51,52,56,58,69,75,91,160,201,212,223,236,281,
333,587,691,773,1187],[1,2,3,11,12,18,19,21,52,56,58,67,72,100,146,199,207,
208,223,312,337,424,460,586,595,626,715,866,1188],[1,2,3,7,10,11,12,17,21,23,
28,48,51,52,56,58,70,72,78,94,98,100,136,146,199,203,204,207,211,212,223,227,
232,331,335,337,351,354,403,414,424,460,588,596,683,761,809,866,880,940,
1189],[1,2,3,4,5,6,11,12,13,14,15,16,18,19,20,21,24,25,26,27,55,56,66,67,68,
69,72,74,81,82,87,90,91,95,97,100,103,105,107,109,113,116,122,124,131,132,206,
207,229,233,234,237,240,242,246,253,256,264,266,273,281,283,300,312,323,341,
342,353,364,378,482,591,623,646,651,657,664,681,749,754,832,874,1190],[1,2,3,
7,11,12,21,22,23,28,56,59,61,63,70,72,78,92,98,100,101,121,129,136,143,207,
228,261,277,303,315,354,358,360,363,413,432,483,628,633,672,782,795,1191],[1,
2,3,6,11,12,13,18,19,20,21,50,56,64,67,72,74,81,85,86,99,100,118,130,206,207,
229,252,256,312,329,334,352,365,393,448,598,657,660,713,904,1192],[1,2,3,6,11,
12,18,19,20,21,33,52,56,57,60,64,67,72,100,137,142,165,166,199,207,208,312,
324,328,330,340,383,392,451,595,637,656,829,831,1193],[1,2,3,11,12,18,19,21,
52,56,67,72,100,146,199,207,208,312,337,595,626,1194],[1,2,3,4,5,10,11,12,15,
16,17,18,19,22,24,26,27,48,51,56,62,63,67,68,69,84,88,90,91,107,109,110,111,
114,115,116,120,124,127,157,160,203,208,209,230,239,247,248,250,251,255,259,
281,285,300,302,313,326,333,339,342,347,366,411,422,459,599,620,641,643,648,
652,675,739,753,758,905,1195],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,22,23,24,25,
26,27,28,31,33,34,51,54,63,65,66,67,68,69,70,75,77,84,88,91,104,107,108,109,
110,112,113,114,115,116,120,122,123,124,126,128,134,135,138,140,142,147,149,
151,152,153,157,159,162,164,168,201,205,239,245,255,259,260,262,278,285,286,
287,300,309,311,313,316,327,342,344,350,353,355,366,375,380,385,394,411,417,
421,447,494,495,499,501,502,504,507,509,516,519,618,648,685,729,733,748,759,
805,888,1017,1020,1027,1196],[1,2,3,10,11,12,17,18,19,22,48,51,56,63,67,84,88,
125,148,203,208,209,230,255,305,362,461,489,599,762,780,882,1197],[1,2,3,7,11,
12,22,23,28,52,56,63,70,78,125,148,199,209,211,277,461,605,882,1198],[1,2,3,4,
5,7,10,11,12,15,16,17,21,23,24,26,27,28,34,48,51,56,62,68,69,70,72,78,90,91,
94,98,100,105,136,141,152,153,157,158,159,160,164,203,207,211,227,232,235,248,
250,253,257,264,276,280,281,286,302,313,323,333,350,351,354,364,382,488,596,
625,645,664,677,682,695,710,758,808,884,1199],[1,2,3,6,11,12,17,20,21,22,33,
51,56,57,58,60,63,64,72,100,137,142,154,167,207,209,212,310,317,322,324,340,
392,429,451,607,670,680,788,831,1200],[1,2,3,6,7,11,12,14,20,21,22,23,28,49,
56,63,64,70,72,80,82,83,89,100,117,118,121,207,228,238,261,277,306,307,329,
346,358,412,416,601,660,672,797,841,1201],[1,2,3,4,5,6,7,11,12,13,14,15,16,20,
21,22,23,24,25,26,27,28,34,55,56,63,66,68,69,70,72,79,81,82,87,90,91,93,95,97,
100,103,110,121,131,132,141,151,152,153,158,159,161,207,228,233,234,235,237,
239,240,241,242,246,257,261,276,277,286,302,308,323,339,355,358,359,378,381,
389,482,625,631,646,659,672,676,698,720,818,836,907,1202],[1,2,3,11,12,18,19,
21,56,67,72,74,100,144,146,206,207,229,256,312,335,343,629,649,657,1203],[1,2,
3,6,7,11,12,20,22,23,28,33,52,56,57,60,63,64,70,78,137,142,154,167,199,209,
211,277,324,328,330,340,402,429,444,605,670,680,829,897,1204],[1,2,3,7,10,11,
12,17,21,23,28,48,51,56,70,72,78,94,98,100,118,136,139,203,207,211,227,232,
289,329,351,354,386,477,596,660,671,724,828,1205],[1,2,3,4,5,6,7,11,13,14,15,
16,17,18,19,20,21,23,24,25,26,27,28,30,34,51,55,66,67,68,69,70,72,75,77,79,83,
91,93,95,96,97,99,102,104,107,109,116,119,121,123,124,126,128,131,136,141,149,
152,153,155,156,157,158,159,164,201,226,227,228,234,235,237,241,245,249,253,
256,263,276,283,284,286,300,311,313,316,342,350,381,389,476,479,494,495,508,
518,631,632,645,651,661,668,688,719,747,888,901,1206],[1,2,3,7,11,12,18,19,21,
23,56,59,61,67,72,74,78,92,98,100,101,129,136,144,206,207,229,256,303,312,315,
343,354,363,397,483,485,628,649,657,779,849,1207],[1,2,3,7,11,12,18,19,21,23,
52,56,59,61,67,72,78,92,98,100,101,129,136,146,199,207,208,303,312,315,335,
354,363,414,424,483,595,628,629,775,809,1208],[1,2,3,4,5,6,7,11,13,14,15,16,
17,18,19,20,21,23,24,25,26,27,28,31,34,51,55,66,67,68,69,70,72,73,77,79,83,87,
91,93,96,99,102,103,104,105,109,113,114,115,116,121,122,123,128,132,134,136,
151,152,153,158,159,160,162,164,200,227,228,233,241,242,245,249,256,257,262,
263,264,276,283,285,286,311,333,342,350,353,355,379,420,440,441,496,499,504,
512,623,630,638,661,676,682,690,719,733,763,903,1209],[1,2,3,4,5,10,11,12,15,
16,17,24,27,48,51,56,57,60,62,68,69,73,75,90,146,200,201,203,218,240,244,250,
258,324,331,335,337,589,683,696,756,881,1210],[1,2,3,4,6,11,12,15,18,19,20,21,
24,25,26,56,66,67,69,72,74,91,100,105,107,108,112,113,122,124,131,137,206,207,
229,237,243,253,254,256,257,264,281,300,312,341,344,347,353,361,364,657,664,
665,689,791,833,840,874,911,1211],[1,2,3,4,5,6,7,11,12,13,14,15,16,20,21,23,
24,25,27,30,31,32,50,55,56,59,61,64,66,68,69,72,78,80,81,82,85,86,87,90,92,93,
95,97,98,99,100,101,102,103,106,117,119,129,130,131,132,133,134,136,150,207,
215,225,233,234,237,240,242,246,252,279,295,298,301,303,304,307,314,315,318,
320,321,332,334,336,352,354,356,363,365,378,390,406,430,437,441,445,449,453,
454,463,464,474,479,482,483,484,490,598,628,646,750,751,760,792,793,848,873,
932,934,951,1212],[1,2,3,11,12,17,21,22,51,52,56,58,63,72,100,146,207,209,212,
223,317,337,424,460,587,607,669,813,866,1213],[1,2,3,11,12,17,21,22,51,56,58,
63,72,100,118,139,207,209,212,289,317,329,607,660,671,1214],[1,2,3,4,7,11,12,
15,21,23,24,26,56,59,61,69,72,78,91,92,98,100,101,105,129,136,139,207,253,264,
281,289,303,315,354,363,364,401,434,483,628,664,671,804,845,1215],[1,2,3,5,11,
12,16,21,26,27,56,60,68,72,91,100,141,143,207,235,244,257,302,323,360,600,625,
633,1216],[1,2,3,4,5,6,7,10,11,12,15,16,18,19,20,21,22,23,24,25,27,28,30,31,
34,48,62,63,64,66,67,68,69,70,71,72,90,94,98,105,109,110,113,116,119,122,126,
127,131,132,134,138,140,141,149,152,153,155,159,161,162,168,210,226,230,232,
235,237,239,242,250,251,256,261,262,264,278,286,308,316,327,342,353,382,395,
430,488,501,505,507,515,620,623,632,659,663,674,695,699,805,837,844,1217],[1,
2,3,4,5,7,11,12,15,16,17,18,19,23,24,26,27,28,34,51,56,58,67,68,69,70,73,75,
78,91,107,109,114,115,116,123,124,128,152,153,157,158,159,160,164,200,201,208,
211,212,236,276,280,281,285,286,300,302,311,313,333,342,347,350,494,495,496,
512,603,655,691,753,757,808,810,888,903,1218],[1,2,3,6,10,11,12,13,14,17,20,
25,48,49,50,51,53,55,56,57,60,64,66,71,81,82,83,99,146,202,203,210,218,238,
244,246,252,258,263,293,324,331,335,337,431,466,468,469,597,683,696,709,853,
895,898,948,1219],[1,2,3,6,7,10,11,12,18,19,20,21,22,23,25,26,28,48,63,64,66,
67,70,71,72,77,91,94,98,104,108,111,112,120,151,156,210,229,230,232,245,247,
248,253,257,259,280,284,299,341,344,347,355,358,361,622,643,677,700,766,787,
790,830,911,1220],[1,2,3,6,10,11,12,13,14,17,18,19,20,22,25,48,49,50,51,53,55,
56,57,60,63,64,66,67,71,81,82,83,84,88,99,202,203,208,209,210,218,230,238,244,
246,252,255,258,263,293,324,597,599,627,642,650,666,696,1221],[1,2,3,6,11,12,
14,18,19,20,21,49,56,64,67,72,74,80,82,83,89,100,117,139,206,207,229,238,256,
289,306,307,312,346,462,473,601,657,671,852,899,1222],[1,2,3,4,6,11,15,17,18,
19,20,21,22,24,25,26,33,51,63,66,67,69,72,75,84,88,91,105,107,111,113,122,124,
127,131,135,142,147,160,168,201,229,231,237,247,251,255,260,261,264,278,299,
300,317,333,339,341,353,364,394,422,447,459,618,658,675,699,794,802,874,877,
886,1223],[1,2,3,11,12,18,19,21,56,60,67,72,74,100,139,206,207,229,244,256,
289,312,600,657,671,1224],[1,2,3,11,12,18,19,21,56,57,67,72,74,100,118,206,
207,229,256,258,312,329,604,657,660,1225],[1,2,3,5,6,7,11,13,14,16,17,20,21,
22,23,25,26,27,28,31,51,55,63,66,68,70,72,73,74,79,83,87,91,93,99,103,110,132,
134,136,141,157,158,161,162,200,206,227,233,235,239,241,242,253,261,262,263,
268,275,276,308,313,317,323,326,341,358,359,440,441,594,638,645,659,681,687,
692,723,816,890,907,1226],[1,2,3,5,7,11,12,16,21,23,26,27,56,59,61,68,72,78,
91,92,98,100,101,129,136,139,141,207,235,257,289,302,303,315,323,354,363,376,
400,483,625,628,671,777,891,1227],[1,2,3,6,7,10,11,12,17,20,21,23,25,28,33,48,
51,56,57,60,64,66,70,71,72,78,94,98,100,135,136,137,142,147,203,207,210,211,
218,227,232,244,254,258,260,324,340,348,351,354,392,402,444,451,596,602,696,
770,831,879,897,927,1228],[1,2,3,4,5,6,7,11,12,13,14,15,16,20,22,23,24,25,26,
27,28,30,31,52,55,56,63,66,68,69,70,78,79,81,82,90,91,93,96,102,119,134,137,
151,155,156,161,162,168,199,209,211,226,240,241,243,246,249,254,262,269,274,
277,278,281,284,299,302,308,355,359,454,467,590,605,634,635,640,647,662,720,
764,768,785,1229],[1,2,3,4,5,6,10,11,12,15,16,18,19,20,22,24,25,26,27,48,54,
62,63,64,65,66,67,68,69,71,90,91,107,108,109,110,112,113,114,115,116,122,124,
126,127,149,161,168,205,210,230,231,239,248,250,251,278,285,299,300,308,316,
326,339,342,344,353,375,380,385,417,592,620,622,728,748,794,819,837,905,
1230],[1,2,3,4,5,7,11,12,15,16,22,23,24,26,27,28,34,52,56,63,68,69,70,78,90,
91,110,111,120,127,152,153,158,159,164,199,209,211,239,240,243,247,251,259,
276,277,280,281,286,302,326,339,350,605,641,652,662,730,808,814,818,825,
1231],[1,2,3,7,11,12,17,18,19,21,23,28,29,51,56,58,67,70,76,78,92,98,100,101,
123,128,129,136,146,208,211,212,282,311,335,354,403,442,460,483,603,667,678,
775,880,1232],[1,2,3,5,6,11,16,17,18,19,20,21,22,25,26,27,33,51,63,66,67,68,
72,73,84,88,91,110,114,115,120,126,132,135,141,142,147,149,157,161,200,229,
231,235,239,242,255,259,260,261,285,299,308,313,316,317,323,326,361,366,374,
411,418,639,648,658,659,721,727,728,864,890,1233],[1,2,3,4,5,6,7,10,11,12,15,
16,20,21,23,24,25,26,27,28,30,31,48,62,64,66,68,69,70,71,72,74,90,91,94,98,
119,121,131,132,134,151,155,156,158,162,164,206,210,226,228,232,237,242,248,
250,253,257,262,271,272,276,280,284,323,341,350,355,361,364,395,430,593,663,
668,676,677,681,689,737,772,787,884,1234],[1,2,3,7,11,12,22,23,28,52,56,58,63,
70,78,146,199,209,211,223,277,337,403,414,586,605,626,761,813,1235],[1,2,3,4,
5,6,7,11,12,13,14,15,16,20,21,22,23,24,25,26,27,28,34,55,56,63,66,68,69,70,72,
81,82,87,90,91,95,96,97,100,102,103,105,121,127,131,132,152,153,156,159,164,
168,207,228,233,234,237,240,242,246,249,251,253,261,264,277,278,281,284,286,
326,350,358,359,364,378,379,420,482,630,646,664,668,672,692,699,730,746,764,
885,1236],[1,2,3,7,11,12,22,23,28,52,56,63,70,78,146,199,209,211,277,337,605,
626,1237],[1,2,3,6,11,12,20,21,25,26,56,66,72,91,100,118,137,143,207,243,254,
329,341,360,361,633,660,665,1238],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,
51,56,63,67,70,72,74,77,78,94,98,100,104,121,123,128,136,138,140,203,206,207,
211,227,228,229,230,232,245,256,261,271,272,277,311,312,317,327,351,354,358,
593,596,657,661,672,674,687,700,811,860,887,1239],[1,2,3,6,7,11,12,13,20,21,
22,23,28,50,56,63,64,70,72,81,85,86,99,100,121,130,139,207,228,252,261,277,
289,334,352,358,365,425,487,598,671,672,834,861,1240],[1,2,3,7,11,12,18,19,21,
23,56,59,61,67,72,74,78,92,98,100,101,129,136,143,206,207,229,256,303,312,315,
354,360,363,472,480,483,628,633,657,803,847,1241],[1,2,3,5,11,12,16,21,26,27,
56,68,72,91,100,118,141,146,207,235,257,302,323,329,335,625,629,660,1242],[1,
2,3,10,11,12,17,18,19,22,48,51,52,56,58,63,67,84,88,146,199,203,204,208,209,
212,223,230,255,331,335,337,588,599,683,715,813,1243],[1,2,3,10,11,12,17,18,
19,22,48,51,56,63,67,84,88,163,203,208,209,230,255,426,452,455,599,722,765,
858,1244],[1,2,3,4,6,7,11,13,14,15,17,20,21,22,23,24,25,26,28,30,51,55,63,66,
69,70,72,74,75,83,91,95,96,97,99,102,105,119,127,131,136,155,160,164,168,201,
206,226,227,234,237,249,251,257,261,263,264,266,273,278,317,333,339,350,358,
359,361,364,476,479,591,682,687,688,689,698,699,802,871,885,910,1245],[1,2,3,
6,10,11,12,17,20,25,26,33,48,51,56,64,66,71,91,135,137,142,146,147,203,210,
236,243,248,254,260,331,335,337,340,348,602,606,683,1000,1246],[1,2,3,10,11,
12,17,18,19,22,26,48,51,56,57,60,63,67,84,88,91,203,208,209,218,230,236,243,
244,248,255,258,324,599,606,696,1247],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,
48,51,54,56,63,65,67,70,72,77,84,88,94,98,104,123,128,138,140,203,205,208,209,
229,230,231,232,245,255,256,261,277,287,309,311,312,317,327,358,421,592,599,
619,658,674,684,685,700,784,887,894,1248],[1,2,3,4,5,7,10,11,12,13,14,15,16,
18,19,21,22,23,24,26,27,28,48,49,50,53,55,62,63,67,68,69,70,72,77,79,87,90,91,
93,94,95,96,97,98,102,103,104,109,110,116,127,158,164,202,229,230,232,233,234,
239,241,245,248,249,250,251,276,283,290,297,323,336,342,345,350,358,359,364,
620,644,694,700,719,754,884,885,907,1249],[1,2,3,7,11,12,17,18,19,21,22,23,28,
51,54,56,58,63,65,67,70,72,77,78,84,88,104,121,123,128,136,138,140,205,208,
211,212,227,228,229,231,245,255,256,277,287,309,311,312,317,327,358,421,603,
619,661,684,685,811,860,862,894,1250],[1,2,3,4,11,12,15,21,24,26,56,69,72,91,
100,105,139,146,207,253,264,281,289,335,364,629,664,671,1251],[1,2,3,5,6,11,
12,13,16,20,21,26,27,50,56,64,68,72,81,85,86,91,99,100,130,141,143,207,235,
252,257,302,323,334,352,360,365,399,404,598,625,633,735,843,1252],[1,2,3,7,11,
12,17,18,19,23,28,51,52,56,58,67,70,78,123,128,146,208,211,212,223,311,337,
403,414,587,603,669,715,761,1253],[1,2,3,4,5,11,12,15,16,18,19,21,24,26,27,52,
56,67,68,69,72,90,91,100,105,107,109,114,115,116,124,141,199,207,208,235,240,
243,253,257,264,281,285,300,302,312,323,342,347,364,595,625,662,664,738,749,
753,812,840,1254],[1,2,3,6,10,11,12,17,20,25,33,48,51,52,56,57,58,60,64,66,71,
135,137,142,147,199,203,204,210,212,218,223,244,254,258,260,310,322,324,328,
330,340,348,588,602,696,716,788,829,859,878,1255],[1,2,3,7,11,12,17,18,19,23,
26,28,51,56,58,67,70,78,91,123,128,208,211,212,236,311,603,773,1256],[1,2,3,4,
5,6,11,12,13,14,15,16,18,19,20,21,24,25,26,27,55,56,66,67,68,69,72,74,81,82,
87,90,91,95,97,100,103,109,114,115,116,126,131,132,141,149,206,207,229,233,
234,235,237,240,242,246,256,257,268,275,283,285,302,312,316,323,342,361,364,
378,482,594,625,632,646,657,689,690,738,741,754,864,1257],[1,2,3,6,10,11,12,
13,14,17,20,25,48,49,50,51,52,53,55,56,57,58,60,64,66,71,81,82,83,99,199,202,
203,204,210,212,214,218,220,221,222,223,238,244,246,252,258,263,293,310,322,
324,328,330,588,597,617,621,636,673,696,697,781,796,878,1258],[1,2,3,6,10,11,
12,13,14,17,20,25,26,48,49,50,51,53,55,56,64,66,71,81,82,83,91,99,146,202,203,
210,236,238,243,246,248,252,263,293,331,335,337,597,606,683,740,908,1259],[1,
2,3,4,5,6,11,12,13,14,15,16,20,21,24,25,27,55,56,66,68,69,72,81,82,87,90,95,
97,100,103,131,132,139,143,207,233,234,237,240,242,246,289,360,378,396,439,
482,633,646,671,863,867,1260],[1,2,3,4,5,6,11,12,13,14,15,16,20,21,24,25,27,
55,56,66,68,69,72,81,82,87,90,95,97,100,103,118,131,132,144,207,233,234,237,
240,242,246,329,343,370,378,435,482,646,649,660,869,875,1261],[1,2,3,4,5,6,11,
12,13,14,15,16,20,21,24,25,27,55,56,66,68,69,72,81,82,87,90,95,97,100,103,131,
132,139,144,207,233,234,237,240,242,246,289,343,372,378,456,482,646,649,671,
865,893,1262],[1,2,3,11,12,18,19,21,56,67,72,74,100,143,146,206,207,229,256,
312,335,360,629,633,657,1263],[1,2,3,4,5,6,11,12,13,14,15,16,20,21,24,25,27,
55,56,66,68,69,72,81,82,87,90,95,97,100,103,118,131,132,143,207,233,234,237,
240,242,246,329,360,377,378,481,482,633,646,660,892,902,1264],[1,2,3,6,11,12,
14,20,21,25,26,49,56,64,66,72,80,82,83,89,91,100,117,137,146,207,238,243,254,
306,307,335,341,346,361,371,410,601,629,665,908,912,1265],[1,2,3,5,6,11,12,14,
16,20,21,26,27,49,56,64,68,72,80,82,83,89,91,100,117,141,144,207,235,238,257,
302,306,307,323,343,346,388,409,601,625,649,896,900,1266],[1,2,3,6,11,12,20,
21,25,26,56,66,72,91,100,137,139,144,207,243,254,289,341,343,361,649,665,671,
1267],[1,2,3,5,11,12,16,21,26,27,56,57,68,72,91,100,141,144,207,235,257,258,
302,323,343,604,625,649,1268],[1,2,3,7,11,12,21,22,23,28,56,59,61,63,70,72,78,
92,98,100,101,121,129,136,144,207,228,261,277,303,315,343,354,358,363,415,458,
483,628,649,672,806,838,1269],[1,2,3,7,10,11,12,17,21,23,28,48,51,56,70,72,78,
94,98,100,136,143,144,203,207,211,227,232,343,351,354,360,367,475,596,633,649,
789,868,1270],[1,2,3,7,11,12,21,22,23,28,56,60,63,70,72,100,118,121,207,228,
244,261,277,329,358,600,660,672,1271],[1,2,3,5,6,11,12,16,18,19,20,21,25,26,
27,56,66,67,68,72,74,91,100,108,112,114,115,126,132,137,141,149,206,207,229,
235,242,243,253,254,256,257,285,302,312,316,323,341,344,347,361,625,657,665,
681,769,812,821,864,911,1272],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,56,
63,67,70,72,78,84,88,94,98,100,136,146,203,207,208,209,211,227,230,232,255,
331,335,337,351,354,596,599,683,774,775,1273],[1,2,3,4,5,6,11,12,13,14,15,16,
17,20,21,22,24,25,26,27,33,51,55,56,58,63,66,68,69,72,81,82,83,87,90,91,95,97,
99,100,103,131,132,135,137,142,147,157,160,161,168,207,209,212,233,234,237,
240,242,243,246,254,260,263,278,299,308,313,317,333,341,359,361,378,457,471,
482,607,624,634,646,647,654,665,723,727,886,910,1274],[1,2,3,4,5,6,7,11,12,13,
14,15,16,20,21,23,24,25,27,30,31,32,49,55,56,59,61,64,66,68,69,72,78,79,80,81,
82,83,85,87,89,90,92,95,96,97,98,100,101,103,106,117,119,129,130,131,132,134,
136,145,150,207,213,224,233,234,237,238,240,242,246,279,288,291,297,301,303,
304,306,307,315,319,325,332,338,346,349,352,354,357,363,369,378,387,430,436,
437,438,440,445,450,463,467,474,476,482,483,484,486,601,628,646,725,726,744,
771,799,823,827,916,925,932,1275],[1,2,3,11,12,17,21,22,26,51,56,58,63,72,91,
100,207,209,212,236,317,607,773,1276],[1,2,3,6,11,12,13,20,21,25,26,50,56,64,
66,72,81,85,86,91,99,100,130,137,146,207,243,252,254,334,335,341,352,361,365,
373,470,598,629,665,740,800,1277],[1,2,3,5,7,11,12,16,21,23,26,27,56,59,61,68,
72,78,91,92,98,100,101,118,129,136,141,207,235,257,302,303,315,323,329,354,
363,408,446,483,625,628,660,842,850,1278],[1,2,3,6,11,12,20,21,25,26,56,66,72,
91,100,137,139,143,207,243,254,289,341,360,361,633,665,671,1279],[1,2,3,4,11,
12,15,21,24,26,56,57,69,72,91,100,105,143,207,253,258,264,281,360,364,604,633,
664,1280],[1,2,3,6,11,12,20,21,25,26,56,66,72,91,100,118,137,144,207,243,254,
329,341,343,361,649,660,665,1281],[1,2,3,6,7,11,12,17,18,19,20,23,28,33,51,56,
57,58,60,64,67,70,78,123,128,137,142,165,166,208,211,212,310,311,322,324,340,
383,402,444,603,637,656,788,897,1282],[1,2,3,4,5,6,11,12,13,14,15,16,18,19,20,
21,24,25,26,27,52,55,56,66,67,68,69,72,81,82,87,90,91,95,97,100,103,108,112,
113,122,126,131,132,137,149,199,207,208,233,234,237,240,242,243,246,254,269,
274,281,283,302,312,316,341,344,353,361,378,482,590,595,646,662,665,686,693,
741,791,821,832,1283],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,22,23,24,25,26,27,
28,30,33,34,51,54,63,65,66,67,68,69,70,73,77,84,88,91,104,107,108,109,111,112,
113,114,115,116,119,122,123,124,126,127,128,135,138,140,142,147,149,152,153,
155,156,158,159,160,161,200,205,226,245,247,251,255,260,276,284,285,286,287,
300,308,309,311,316,327,333,342,344,353,374,375,380,385,417,418,421,422,459,
491,496,500,505,508,512,514,515,518,521,639,675,685,745,747,748,844,870,903,
996,997,1029,1284],[1,2,3,7,11,12,21,22,23,28,56,57,63,70,72,100,121,139,207,
228,258,261,277,289,358,604,671,672,1285],[1,2,3,7,11,12,21,22,23,28,56,63,70,
72,100,121,144,146,207,228,261,277,335,343,358,629,649,672,1286],[1,2,3,4,7,
11,12,15,21,23,24,26,56,59,61,69,72,78,91,92,98,100,101,105,118,129,136,207,
253,264,281,303,315,329,354,363,364,405,423,483,628,660,664,778,820,1287],[1,
2,3,4,6,11,12,13,15,20,21,24,26,50,56,64,69,72,81,85,86,91,99,100,105,130,144,
207,252,253,264,281,334,343,352,364,365,419,428,598,649,664,776,856,1288],[1,
2,3,4,6,11,12,14,15,20,21,24,26,49,56,64,69,72,80,82,83,89,91,100,105,117,143,
207,238,253,264,281,306,307,346,360,364,391,427,601,633,664,906,909,1289],[1,
2,3,4,5,6,7,11,12,13,14,15,16,17,18,19,20,23,24,25,26,27,28,30,31,33,51,55,56,
58,66,67,68,69,70,78,79,81,82,83,90,91,93,96,99,102,108,112,113,119,122,123,
126,128,134,135,137,142,147,149,151,155,156,157,160,162,208,211,212,226,240,
241,243,246,249,254,260,262,263,283,284,311,313,316,333,344,353,355,454,457,
467,471,514,516,519,521,603,624,635,640,654,686,693,729,763,870,901,1290],[1,
2,3,4,11,12,15,21,24,26,56,60,69,72,91,100,105,144,207,244,253,264,281,343,
364,600,649,664,1291],[1,2,3,4,11,12,15,21,24,26,56,69,72,91,100,105,118,146,
207,253,264,281,329,335,364,629,660,664,1292],[1,2,3,5,11,12,16,21,26,27,56,
68,72,91,100,139,141,146,207,235,257,289,302,323,335,625,629,671,1293],[1,2,3,
4,5,6,11,12,13,14,15,16,20,21,24,25,27,55,56,57,66,68,69,72,81,82,87,90,95,97,
100,103,131,132,146,207,233,234,237,240,242,246,258,335,378,466,468,482,604,
629,646,756,853,1294],[1,2,3,4,5,6,11,12,13,14,15,16,20,21,24,25,27,55,56,60,
66,68,69,72,81,82,87,90,95,97,100,103,131,132,146,207,233,234,237,240,242,244,
246,335,378,431,469,482,600,629,646,881,895,1295],[1,2,3,4,6,7,11,12,15,20,21,
22,23,24,25,26,28,30,56,63,66,69,70,72,91,100,105,111,119,121,137,151,155,164,
168,207,226,228,243,247,253,254,261,264,277,278,280,281,299,339,341,350,355,
358,361,364,664,665,672,737,785,814,830,871,877,1296],[1,2,3,7,11,12,21,22,23,
28,29,52,56,63,70,76,78,92,98,100,101,129,136,146,199,209,211,277,282,335,354,
414,424,442,483,605,667,678,774,809,1297],[1,2,3,11,12,18,19,21,52,56,67,72,
100,143,144,199,207,208,312,343,360,595,633,649,1298],[1,2,3,6,7,11,12,20,21,
23,25,26,56,57,59,61,66,72,78,91,92,98,100,101,129,136,137,207,243,254,258,
303,315,341,354,361,363,392,402,483,604,628,665,770,786,1299],[1,2,3,10,11,12,
17,26,48,51,56,57,60,91,146,203,218,236,243,244,248,258,324,331,335,337,606,
683,696,1300],[1,2,3,11,12,18,19,21,52,56,67,72,100,163,199,207,208,312,426,
595,858,1301],[1,2,3,7,11,12,17,18,19,23,28,51,56,58,67,70,78,123,128,163,208,
211,212,311,426,603,858,1302],[1,2,3,11,12,17,21,22,51,56,58,63,72,100,125,
148,207,209,212,317,461,607,882,1303],[1,2,3,4,5,7,10,11,12,13,14,15,16,18,19,
21,22,23,24,26,27,28,48,49,50,53,55,62,63,67,68,69,70,72,79,87,90,91,93,94,95,
96,97,98,102,103,107,114,115,124,138,140,202,230,232,233,234,241,248,249,250,
253,256,257,261,280,283,285,290,297,300,326,327,336,339,345,359,644,651,674,
677,690,692,694,698,783,807,905,1304],[1,2,3,6,7,11,12,13,14,17,18,19,20,23,
28,32,49,50,51,56,57,58,60,64,67,70,78,81,82,83,99,106,123,128,133,145,150,
208,211,212,220,222,238,244,252,258,298,310,311,322,325,356,357,443,603,627,
642,653,673,679,697,1305],[1,2,3,6,10,11,12,17,20,25,33,48,51,56,57,60,64,66,
71,135,137,142,146,147,203,210,218,244,254,258,260,324,331,335,337,340,348,
602,683,696,736,835,1306],[1,2,3,10,11,12,17,48,51,56,57,60,146,203,218,244,
258,324,331,335,337,683,696,731,732,1307],[1,2,3,6,10,11,12,13,14,17,20,25,33,
48,49,50,51,53,55,56,64,66,71,81,82,83,99,135,137,142,146,147,202,203,210,238,
246,252,254,260,263,293,331,335,337,340,348,371,373,410,470,597,602,683,714,
718,800,824,854,912,1308],[1,2,3,7,10,11,12,17,21,23,26,28,48,51,56,57,60,70,
72,78,91,94,98,100,136,203,207,211,218,227,232,236,243,244,248,258,324,351,
354,596,606,696,786,857,1309],[1,2,3,7,11,12,17,21,22,23,51,56,58,59,61,63,72,
78,92,98,100,101,129,136,146,207,209,212,303,315,317,335,354,363,403,460,483,
607,628,629,774,880,1310],[1,2,3,6,7,11,12,13,14,20,22,23,28,32,49,50,52,56,
57,60,63,64,70,78,81,82,83,99,106,133,145,150,199,209,211,214,221,238,244,252,
258,277,298,325,328,330,356,357,443,605,621,636,650,653,666,679,1311],[1,2,3,
6,7,11,12,20,21,23,25,26,56,59,60,61,66,72,78,91,92,98,100,101,129,136,137,
207,243,244,254,303,315,341,354,361,363,444,451,483,600,628,665,857,879,
1312],[1,2,3,5,6,7,11,12,16,20,21,22,23,25,26,27,28,31,56,63,66,68,70,72,91,
100,120,121,134,137,141,156,158,161,162,207,228,235,243,254,257,259,261,262,
276,277,280,284,299,302,308,323,326,341,358,361,625,665,672,721,768,772,790,
816,825,1313],[1,2,3,7,11,12,17,18,19,21,22,23,28,51,56,58,63,67,70,72,74,84,
88,100,121,123,128,136,138,140,206,207,209,212,227,228,229,231,255,256,261,
277,311,312,317,327,358,607,657,658,672,687,784,811,862,894,1314],[1,2,3,7,11,
12,21,22,23,28,56,63,70,72,100,121,143,146,207,228,261,277,335,358,360,629,
633,672,1315],[1,2,3,6,11,12,20,21,33,52,56,57,58,60,64,72,100,137,142,146,
207,223,258,310,324,328,337,340,392,424,451,460,604,614,731,736,831,859,866,
1316],[1,2,3,4,5,6,7,11,12,13,14,15,16,20,23,24,25,27,28,30,31,55,56,57,60,66,
68,69,70,78,79,81,82,90,93,96,102,119,134,146,155,162,211,226,240,241,244,246,
249,258,262,335,431,454,466,467,468,469,635,667,679,756,853,881,895,1317],[1,
2,3,4,7,11,15,17,21,23,24,26,28,29,51,59,61,69,70,72,76,91,92,101,105,118,129,
136,139,160,164,227,257,264,289,303,315,329,333,350,401,405,423,434,442,609,
682,777,778,804,828,850,1318],[1,2,3,4,5,6,7,11,13,14,15,16,20,21,23,24,27,28,
31,34,55,61,68,69,70,72,85,86,87,92,93,96,99,102,103,105,117,121,129,130,132,
133,134,136,139,144,150,152,153,159,225,228,233,249,264,286,289,295,301,315,
321,334,343,372,379,401,406,415,419,420,425,428,434,441,453,456,458,484,487,
630,793,804,834,838,856,865,935,1005,1006,1026,1319],[1,2,3,4,5,6,7,11,13,14,
15,16,20,21,23,24,27,28,31,34,55,59,68,69,70,72,79,80,83,87,89,96,101,102,103,
105,117,118,121,129,130,132,134,136,143,145,150,152,153,159,213,228,233,249,
264,279,286,288,291,303,329,346,360,369,377,379,391,405,412,413,416,420,423,
427,432,440,450,481,484,630,726,778,795,797,902,909,975,981,1002,1010,1320],[
1,2,3,4,5,6,7,11,12,13,14,15,16,20,21,23,24,25,27,28,29,30,31,32,49,50,55,56,
64,66,68,69,70,76,78,79,80,81,82,83,85,86,87,89,90,92,93,95,96,97,98,99,100,
101,102,103,106,117,119,129,130,131,132,133,134,136,145,150,155,162,169,170,
211,226,238,240,241,246,249,252,262,267,270,282,288,291,295,297,298,306,307,
314,318,319,320,321,325,336,338,349,352,354,356,357,365,369,378,387,390,406,
430,433,436,437,438,440,441,442,443,445,449,450,453,454,463,464,465,467,474,
476,479,482,483,484,486,490,635,653,678,712,717,750,823,827,873,916,918,925,
933,934,949,951,973,983,1321],[1,2,3,10,11,12,18,19,22,48,54,63,65,67,125,146,
148,205,230,231,331,461,592,711,762,1322],[1,2,3,6,11,12,13,18,19,20,33,50,52,
56,57,58,64,67,81,99,137,142,146,165,166,208,223,252,258,269,310,328,337,340,
371,373,383,457,608,627,637,714,715,736,859,1323],[1,2,3,6,11,12,14,20,33,49,
52,56,57,60,64,82,83,137,142,146,199,214,238,244,324,328,330,337,340,410,466,
469,470,621,626,718,732,829,835,898,1324],[1,2,3,5,6,7,11,13,16,20,21,22,23,
25,27,31,32,59,63,66,68,72,80,85,86,93,99,101,103,106,110,129,130,132,133,134,
136,139,141,143,161,235,239,242,261,279,289,303,308,334,360,376,390,399,400,
404,441,445,453,490,659,782,792,843,861,867,891,1325],[1,2,3,4,5,6,7,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,48,49,50,51,53,55,56,62,63,64,
66,67,68,69,70,71,72,79,81,82,83,87,90,91,93,94,95,96,97,98,99,102,103,113,
122,123,126,128,149,151,156,157,160,161,168,202,203,210,230,232,233,234,238,
241,246,248,249,250,252,263,277,278,281,283,284,290,293,297,302,308,311,312,
313,316,317,333,336,341,345,353,355,359,361,597,644,694,720,723,741,758,763,
764,787,832,837,887,901,910,1326],[1,2,3,4,5,6,7,11,13,14,15,16,20,21,23,24,
27,28,30,34,55,61,68,69,70,72,79,80,83,89,92,93,95,96,97,117,118,119,121,129,
130,131,136,141,144,145,150,152,153,159,224,228,234,235,241,286,304,315,319,
329,338,343,346,370,381,388,389,408,409,412,415,416,435,446,450,458,474,476,
486,631,797,799,838,842,875,896,913,982,990,1023,1327],[1,2,3,4,5,6,7,11,15,
16,17,20,21,22,23,24,25,26,27,28,33,34,51,63,66,68,69,70,72,74,91,111,120,131,
132,135,136,142,147,151,152,153,156,157,159,160,161,168,206,227,236,237,242,
247,253,257,259,260,261,278,280,284,286,299,308,313,317,323,326,333,339,341,
355,358,361,364,681,687,689,710,721,727,746,752,790,830,836,855,877,886,889,
1328],[1,2,3,6,11,12,20,21,33,52,56,57,58,60,64,72,100,137,142,146,207,223,
244,322,324,330,337,340,392,424,451,460,600,611,716,732,831,835,866,1329],[1,
2,3,4,5,6,7,10,11,12,13,14,15,16,20,21,23,24,27,28,29,30,31,32,48,49,50,53,55,
59,61,62,68,69,70,71,72,76,78,79,80,81,82,83,85,86,87,89,90,92,93,94,95,96,97,
98,99,100,101,102,103,106,117,119,129,130,131,132,133,134,136,145,150,202,213,
215,216,219,224,225,232,233,234,241,249,250,265,279,282,288,290,291,292,293,
294,295,297,301,303,304,306,314,315,318,319,320,321,332,334,336,338,345,346,
349,351,356,357,363,365,369,378,387,395,406,433,436,440,441,442,443,449,450,
453,454,463,464,465,467,474,476,478,479,482,483,484,486,490,615,616,644,712,
717,726,742,743,755,760,767,771,793,799,826,848,916,918,933,934,955,977,
1330],[1,2,3,6,11,12,14,17,20,33,49,51,56,57,58,60,64,82,83,137,142,146,212,
220,238,258,310,322,324,337,340,410,466,469,470,669,697,718,731,736,788,898,
1331],[1,2,3,6,11,12,14,20,21,33,49,52,56,57,58,60,64,72,80,82,83,89,100,117,
137,142,146,207,214,220,223,238,274,306,307,322,324,328,337,340,346,392,410,
424,451,460,466,469,470,471,601,612,718,796,831,866,898,938,943,944,980,
1332],[1,2,3,6,10,11,12,13,14,18,19,20,22,26,33,48,49,50,53,55,63,67,71,91,
137,142,146,154,165,166,167,202,230,248,283,331,348,359,373,383,410,429,694,
711,798,854,1000,1333],[1,2,3,6,11,12,13,17,20,33,50,51,56,57,58,60,64,81,99,
137,142,146,212,222,244,252,310,322,324,337,340,371,373,431,468,669,673,709,
714,732,788,835,1334],[1,2,3,4,5,6,7,11,12,13,14,15,16,18,19,20,22,23,24,25,
26,27,28,55,56,63,66,67,68,69,70,77,79,81,82,91,93,96,102,104,107,108,109,111,
112,114,115,116,120,124,138,140,151,156,158,161,164,168,208,231,241,243,245,
246,247,249,259,276,277,278,280,281,283,284,285,300,302,308,326,327,339,342,
344,347,350,355,359,491,500,502,509,684,693,719,720,745,753,759,764,766,783,
807,814,819,825,883,1335],[1,2,3,5,6,7,11,13,14,16,20,21,22,23,26,27,31,55,59,
63,68,72,79,80,83,87,89,91,101,103,117,118,129,130,132,134,136,143,145,150,
213,233,253,261,279,288,291,303,326,329,346,359,360,369,377,440,450,481,484,
692,726,782,820,841,902,906,1336],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,21,22,
23,24,25,26,27,28,30,33,34,51,63,66,67,68,69,70,72,75,84,88,91,105,107,108,
109,112,113,116,119,122,123,124,127,128,132,135,138,140,142,147,152,153,155,
156,157,159,160,161,164,168,201,226,231,242,251,255,256,260,264,278,284,286,
299,300,308,311,313,317,326,327,333,339,342,344,347,350,353,358,361,364,394,
447,494,495,505,514,515,521,618,623,727,739,746,794,802,815,819,833,844,870,
871,888,894,1337],[1,2,3,4,5,6,7,11,13,14,15,16,20,21,23,24,27,28,30,34,55,59,
68,69,70,72,79,85,86,93,95,97,99,101,102,117,119,121,129,130,131,133,136,139,
141,143,150,152,153,159,215,228,234,235,241,286,289,303,314,320,332,334,360,
376,381,389,396,399,400,404,406,413,425,432,439,464,474,479,487,631,760,795,
834,843,863,891,923,937,989,1001,1338],[1,2,3,6,11,12,13,18,19,20,50,52,56,57,
58,60,64,67,81,99,146,208,221,222,223,252,258,310,324,330,337,431,468,614,627,
656,709,715,731,781,1339],[1,2,3,4,5,6,7,11,12,14,15,16,20,21,22,23,24,25,27,
30,31,49,56,57,63,64,66,68,69,78,79,82,83,87,90,96,97,98,100,119,131,132,134,
136,137,146,161,168,209,238,240,254,258,278,297,308,335,354,371,392,402,410,
430,440,467,476,482,647,666,756,770,774,827,912,1340],[1,2,3,4,6,7,11,12,13,
14,15,17,18,19,20,21,22,23,24,25,26,28,30,33,51,55,56,58,63,66,67,69,70,72,75,
81,82,83,84,88,91,95,96,97,99,102,108,112,113,119,122,123,128,131,135,136,137,
142,147,151,155,156,160,168,201,212,226,227,234,236,237,246,249,254,255,260,
263,277,278,281,283,284,299,311,312,317,333,341,344,353,355,359,361,394,447,
457,471,476,479,514,521,618,654,688,691,752,763,764,785,791,832,862,870,872,
886,910,1341],[1,2,3,4,5,6,7,11,12,13,15,16,20,21,23,24,26,27,30,31,50,52,56,
57,64,68,69,78,81,90,91,93,95,98,99,100,102,103,119,131,132,134,136,146,199,
221,240,243,252,258,281,302,328,335,336,354,378,414,424,430,441,454,479,636,
662,740,756,786,809,873,1342],[1,2,3,5,6,7,11,13,16,20,21,23,25,26,27,31,32,
59,66,68,72,74,80,85,86,91,93,99,101,103,106,118,129,130,132,133,134,136,144,
206,242,253,279,303,323,329,334,341,343,390,393,397,441,445,448,453,485,490,
681,713,776,792,820,849,869,1343],[1,2,3,5,6,7,11,12,13,14,16,18,19,20,21,22,
23,25,26,27,28,55,56,63,66,67,68,70,72,79,81,82,87,91,93,103,110,111,114,115,
120,126,138,140,149,151,158,161,209,231,233,239,241,243,246,247,253,259,261,
276,277,280,283,285,299,302,308,312,316,323,326,327,347,355,358,359,361,634,
641,692,720,721,728,741,784,807,812,822,825,830,883,907,1344],[1,2,3,6,7,11,
17,18,19,20,22,23,25,28,33,51,54,63,65,66,67,70,77,84,88,104,123,128,135,138,
140,142,147,154,163,165,166,167,205,245,255,260,287,309,311,327,368,383,384,
398,407,421,426,429,452,455,492,498,511,517,685,734,765,966,999,1007,1008,
1014,1025,1345],[1,2,3,5,6,7,11,13,14,16,17,18,19,20,21,22,23,25,26,27,28,51,
55,63,66,67,68,70,72,79,83,84,87,88,91,93,99,103,108,110,111,112,114,115,120,
123,126,128,138,140,149,156,157,158,161,231,233,236,239,241,247,255,256,257,
259,263,276,280,283,284,285,299,308,311,313,316,317,323,326,327,341,344,347,
358,359,366,411,491,500,648,690,723,728,745,757,769,790,807,872,883,889,894,
901,907,1346],[1,2,3,4,6,11,15,17,18,19,20,22,24,25,33,51,63,66,67,69,75,84,
88,113,122,125,135,142,147,148,163,168,201,255,260,278,305,353,362,394,426,
447,452,455,461,489,618,765,780,920,928,1347],[1,2,3,5,6,7,11,14,16,20,21,22,
23,25,27,31,32,61,63,66,68,72,79,80,83,85,87,89,92,106,110,117,118,129,132,
134,136,141,144,145,161,235,239,242,261,301,308,315,329,343,346,369,387,388,
408,409,438,440,445,446,659,725,806,841,842,869,896,1348],[1,2,3,6,11,12,13,
20,21,33,50,52,56,57,58,60,64,72,81,85,86,99,100,130,137,142,146,207,221,222,
223,252,269,310,324,330,334,337,340,352,365,371,373,392,424,431,451,457,460,
468,598,608,709,714,781,831,866,984,993,994,1015,1349],[1,2,3,5,11,12,16,17,
26,27,51,56,58,68,73,91,146,157,200,212,236,302,313,337,655,669,773,1350],[1,
2,3,7,10,11,12,21,23,28,29,48,59,61,70,72,74,76,78,92,94,98,100,101,121,129,
136,143,144,206,216,219,228,232,265,271,272,282,303,315,343,351,360,363,367,
397,413,415,432,442,458,472,475,480,483,485,593,755,789,795,803,838,849,960,
964,965,1009,1351],[1,2,3,5,6,7,11,13,14,16,17,20,21,23,25,27,28,31,51,55,66,
68,70,72,73,79,83,87,93,99,103,118,132,134,136,139,143,144,162,200,227,233,
241,242,262,263,289,329,343,360,372,377,440,441,456,481,638,828,865,867,868,
869,902,1352],[1,2,3,4,5,6,7,11,12,13,15,16,17,20,21,23,24,26,27,30,31,50,51,
56,58,60,64,68,69,78,81,90,91,93,95,98,99,100,102,103,119,131,132,134,136,146,
157,160,212,222,240,243,244,252,313,322,333,335,336,354,378,403,430,441,454,
460,479,624,673,740,857,873,880,881,1353],[1,2,3,7,11,17,18,19,21,23,28,29,51,
59,61,67,70,72,76,77,92,101,104,121,123,128,129,136,143,144,227,228,245,256,
303,311,315,343,360,413,415,432,442,458,609,661,779,795,838,847,868,1354],[1,
2,3,6,7,10,11,12,13,14,18,19,20,21,22,23,28,32,48,53,63,67,70,71,72,80,81,82,
83,85,86,89,94,98,99,106,117,118,130,133,138,139,140,145,150,230,232,256,261,
289,292,293,294,318,327,329,334,346,349,386,443,463,477,478,674,724,826,841,
852,861,904,1355],[1,2,3,6,7,10,11,12,13,14,20,21,23,26,28,32,48,53,70,71,72,
80,81,82,83,85,86,89,91,94,98,99,106,117,130,133,143,144,145,150,232,248,253,
257,280,292,293,294,318,334,343,346,349,360,367,443,463,475,478,677,735,776,
789,826,900,906,1356],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,22,23,24,25,
26,27,28,51,54,55,63,65,66,67,68,69,70,77,79,83,84,88,91,93,96,99,102,104,107,
108,109,112,113,114,115,116,122,123,124,126,128,138,140,149,151,156,157,158,
160,164,205,236,241,245,249,255,263,276,280,283,284,285,287,299,300,309,311,
313,316,326,327,333,339,342,344,347,350,353,355,359,375,380,385,417,421,610,
685,719,739,748,757,763,766,783,807,810,815,822,872,901,1357],[1,2,3,4,5,6,7,
11,12,15,16,18,19,20,21,22,23,24,25,26,27,28,30,34,56,63,66,67,68,69,70,72,77,
78,91,104,107,108,112,119,120,121,124,126,132,137,138,140,149,151,152,153,155,
156,158,159,164,168,211,226,228,242,243,245,254,257,259,276,277,278,280,281,
284,286,299,300,302,312,316,326,327,341,344,347,350,355,358,364,502,508,509,
518,640,676,737,746,747,759,766,785,790,808,821,822,825,840,860,1358],[1,2,3,
4,6,7,11,13,14,15,17,20,21,23,24,25,26,28,32,51,55,66,69,70,72,80,83,85,86,89,
91,99,105,106,117,130,133,136,143,144,145,150,160,164,227,257,263,264,333,334,
343,346,350,360,390,391,406,419,427,428,438,443,450,682,735,801,856,868,900,
909,1359],[1,2,3,6,7,11,13,14,17,18,19,20,21,23,25,28,32,51,55,66,67,70,72,77,
80,83,85,86,89,99,104,106,117,118,121,123,128,130,133,136,139,145,150,227,228,
245,256,263,289,311,329,334,346,390,406,412,416,425,438,443,450,487,661,797,
801,828,834,852,904,1360],[1,2,3,10,11,12,13,14,18,19,22,26,48,49,50,53,55,63,
67,91,125,148,163,202,230,248,283,359,426,461,694,722,762,1361],[1,2,3,6,11,
12,18,19,20,21,33,54,56,64,65,67,72,137,142,163,165,166,205,208,229,256,312,
340,383,426,511,517,619,637,858,966,987,1362],[1,2,3,4,5,6,7,11,12,13,15,16,
18,19,20,21,23,24,25,27,30,31,50,56,57,64,66,67,68,69,78,81,90,93,95,98,99,
100,102,103,113,119,122,126,131,132,134,136,137,146,149,208,240,252,254,258,
316,335,336,353,354,373,378,392,402,430,441,454,470,479,627,686,756,770,775,
800,873,1363],[1,2,3,5,7,11,16,17,21,23,26,27,28,29,51,59,61,68,70,72,76,91,
92,101,118,129,136,139,141,157,158,227,235,253,276,289,303,313,315,329,376,
400,408,442,446,609,645,820,828,842,845,891,1364],[1,2,3,6,7,11,13,14,17,20,
21,22,23,25,28,32,51,55,63,66,70,72,74,80,83,85,86,89,99,106,117,118,130,133,
136,139,145,150,206,227,261,263,289,317,329,334,346,358,390,393,406,438,443,
448,450,462,473,687,713,801,828,841,861,899,1365],[1,2,3,4,5,6,7,11,12,14,15,
16,18,19,20,21,23,24,25,27,30,31,49,56,60,64,66,67,68,69,78,79,82,83,87,90,96,
97,98,100,113,119,122,126,131,132,134,136,137,146,149,208,238,240,244,254,297,
316,335,353,354,371,410,430,440,444,451,467,476,482,642,686,775,827,879,881,
912,1366],[1,2,3,4,5,6,11,12,15,16,18,19,20,21,24,25,26,27,54,56,65,66,67,68,
69,72,90,91,105,107,108,109,112,113,114,115,116,122,124,126,131,132,137,141,
149,205,208,229,235,237,240,242,254,256,264,281,285,300,302,312,316,323,341,
342,344,347,353,361,364,375,380,385,417,619,623,632,686,738,748,749,753,769,
791,821,833,864,874,1367],[1,2,3,6,7,11,12,20,23,28,33,52,56,57,58,60,64,70,
78,137,142,146,211,223,244,258,322,324,330,337,340,402,403,414,444,614,679,
716,732,736,761,897,1368],[1,2,3,4,5,6,7,11,12,14,15,16,20,21,23,24,26,27,30,
31,49,52,56,60,64,68,69,78,79,82,83,87,90,91,96,97,98,100,119,131,132,134,136,
146,199,214,238,240,243,244,281,297,302,330,335,354,414,424,430,440,467,476,
482,621,662,809,827,857,881,908,1369],[1,2,3,5,11,16,17,18,19,22,26,27,51,63,
67,68,84,88,91,110,114,115,120,157,163,217,239,255,259,285,296,313,366,411,
426,452,455,613,648,765,998,1012,1370],[1,2,3,5,6,7,11,13,14,16,20,21,23,27,
31,55,59,68,72,74,79,80,83,87,89,101,103,117,129,130,132,134,136,139,141,144,
145,150,206,213,233,235,268,275,279,288,289,291,303,343,346,369,372,376,388,
397,400,409,440,450,456,462,473,484,485,594,726,849,865,891,896,899,939,947,
968,986,1371],[1,2,3,6,7,11,12,13,14,17,20,21,23,25,32,33,50,51,55,56,58,60,
64,66,78,80,81,82,83,86,98,99,100,106,117,130,133,135,136,137,142,146,147,150,
212,222,244,246,252,254,260,263,298,307,318,322,335,354,356,365,373,390,403,
406,431,444,451,457,460,463,469,470,471,654,673,750,800,879,880,895,914,944,
995,1015,1372],[1,2,3,6,7,11,12,13,14,18,19,20,21,23,25,26,32,50,55,56,57,64,
66,67,78,80,81,82,86,91,98,99,100,106,108,112,117,130,133,136,146,150,208,243,
246,252,258,283,298,307,318,335,344,354,356,365,390,406,463,466,468,627,693,
740,750,775,786,853,1373],[1,2,3,6,7,10,11,12,13,14,20,21,23,28,32,48,53,70,
71,72,74,80,81,82,83,85,86,89,94,98,99,106,117,118,121,130,133,139,145,150,
206,228,232,271,272,289,292,293,294,318,329,334,346,349,386,393,412,416,425,
443,448,462,463,473,477,478,487,593,713,724,797,826,834,899,936,974,985,1013,
1374],[1,2,3,4,11,15,17,18,19,22,24,26,51,63,67,69,84,88,91,107,111,124,127,
160,163,217,247,251,255,296,300,333,422,426,452,455,459,613,675,765,961,962,
1375],[1,2,3,5,6,7,11,13,14,16,20,21,23,27,31,55,61,68,72,74,85,86,87,92,93,
99,103,117,118,129,130,132,133,134,136,141,143,150,206,225,233,235,268,275,
295,301,315,321,329,334,360,377,393,399,404,406,408,441,446,448,453,472,480,
481,484,594,713,793,803,842,843,902,941,963,978,1004,1376],[1,2,3,4,5,6,7,11,
13,15,16,18,19,20,21,23,24,25,27,31,32,59,66,67,68,69,72,80,85,86,93,99,101,
103,105,106,109,113,116,118,122,129,130,132,133,134,136,144,242,256,264,279,
303,329,334,342,343,353,390,405,419,423,428,441,445,453,490,623,778,779,792,
856,869,904,1377],[1,2,3,4,6,11,15,17,18,19,20,22,24,25,26,33,51,63,66,67,69,
84,88,91,107,111,124,125,127,135,142,147,148,154,160,165,166,167,247,251,255,
260,300,305,333,362,368,383,384,398,407,422,429,459,461,489,497,503,510,520,
675,734,780,931,952,954,972,1028,1378],[1,2,3,4,5,7,11,12,15,16,17,18,19,21,
22,23,24,26,27,28,34,51,56,58,63,67,68,69,70,72,73,84,88,90,91,109,110,114,
115,116,120,123,128,136,141,152,153,157,158,159,160,200,212,227,235,236,239,
240,243,253,255,259,276,277,280,285,286,302,311,312,313,317,323,326,333,339,
342,347,364,366,411,496,512,624,645,648,655,710,738,739,757,812,818,825,855,
862,890,903,1379],[1,2,3,5,6,11,16,17,18,19,20,22,25,26,27,33,51,63,66,67,68,
84,88,91,110,114,115,120,125,135,142,147,148,154,157,165,166,167,239,255,259,
260,285,305,313,362,366,368,383,384,398,407,411,429,461,489,493,506,513,522,
648,734,780,953,976,1019,1021,1030,1380],[1,2,3,6,7,10,11,12,18,19,20,21,22,
23,28,33,48,63,67,70,71,72,77,94,98,104,137,142,154,163,165,166,167,229,230,
232,245,348,358,383,426,429,492,498,700,722,798,987,1014,1381],[1,2,3,4,5,7,
10,11,12,15,16,17,18,19,21,22,23,24,26,27,28,48,51,56,62,63,67,68,69,70,72,90,
91,94,98,107,111,114,115,120,123,124,128,157,158,160,164,203,230,232,236,243,
247,248,250,253,257,259,276,277,280,281,285,300,302,311,312,313,317,323,326,
333,339,347,350,364,606,643,677,757,758,810,812,814,825,840,855,884,887,889,
905,1382],[1,2,3,5,6,7,11,14,16,20,21,23,25,26,27,31,32,61,66,68,72,74,79,80,
83,85,87,89,91,92,106,117,129,132,134,136,139,143,145,206,242,253,289,301,315,
323,341,346,360,369,387,438,440,445,462,472,473,480,681,725,803,845,867,899,
906,1383],[1,2,3,7,10,11,12,18,19,21,22,23,28,48,63,67,70,72,77,94,98,104,125,
146,148,229,230,232,245,331,358,461,700,711,762,1384],[1,2,3,4,5,6,7,10,11,12,
15,16,20,21,23,24,25,27,28,30,31,48,62,64,66,68,69,70,71,72,90,94,98,118,119,
131,132,134,139,143,144,155,162,210,226,232,237,242,250,262,289,329,343,360,
367,386,395,430,475,477,663,724,789,867,869,892,893,1385],[1,2,3,7,11,12,18,
19,22,23,28,56,57,60,63,67,70,77,104,138,140,163,208,231,245,277,324,327,426,
656,684,858,1386],[1,2,3,4,6,7,11,13,14,15,20,21,22,23,24,26,30,55,59,63,69,
72,85,86,91,95,97,99,101,102,117,119,129,130,131,133,136,139,143,150,215,234,
257,261,289,303,314,320,332,334,339,359,360,396,406,439,464,474,479,698,735,
760,777,782,861,863,1387],[1,2,3,4,5,6,7,11,12,14,15,16,17,20,21,23,24,26,27,
30,31,49,51,56,57,58,64,68,69,78,79,82,83,87,90,91,96,97,98,100,119,131,132,
134,136,146,157,160,212,220,238,240,243,258,297,310,313,333,335,354,403,430,
440,460,467,476,482,624,697,756,786,827,880,908,1388],[1,2,3,4,5,6,7,10,11,12,
13,14,15,16,20,21,23,24,27,28,32,34,48,53,62,68,69,70,71,72,80,81,82,83,85,86,
89,90,94,98,99,105,106,117,130,133,141,143,144,145,150,152,153,159,232,235,
250,264,286,292,293,294,318,334,343,346,349,360,367,382,388,391,399,404,409,
419,427,428,443,463,475,478,488,695,789,826,843,856,896,909,921,926,956,957,
1389],[1,2,3,5,6,7,11,13,14,16,17,20,21,23,25,26,27,28,32,51,55,66,68,70,72,
80,83,85,86,89,91,99,106,117,130,133,136,141,143,144,145,150,157,158,227,235,
253,263,276,313,334,343,346,360,388,390,399,404,406,409,438,443,450,645,776,
801,843,868,896,906,1390],[1,2,3,6,11,12,14,18,19,20,49,52,56,57,58,60,64,67,
82,83,146,208,214,220,223,238,244,322,324,328,337,466,469,611,642,656,715,732,
796,898,1391],[1,2,3,7,11,17,21,22,23,28,29,51,59,61,63,70,72,74,76,92,101,
129,136,143,144,206,227,261,303,315,317,343,358,360,397,442,472,480,485,609,
687,782,803,806,849,868,1392],[1,2,3,6,11,12,14,20,22,33,49,52,56,57,58,63,64,
82,83,137,142,146,154,167,209,223,238,258,274,310,328,337,340,410,429,470,471,
612,666,680,718,736,813,859,1393],[1,2,3,5,6,7,11,13,14,16,18,19,20,21,23,26,
27,31,55,59,67,68,72,79,80,83,87,89,91,101,103,114,115,117,129,130,132,134,
136,139,144,145,150,213,233,256,257,279,283,285,288,289,291,303,343,346,369,
372,440,450,456,484,690,726,777,779,852,865,900,1394],[1,2,3,5,6,7,11,13,14,
16,18,19,20,21,23,26,27,31,55,61,67,68,72,85,86,87,91,92,93,99,103,114,115,
117,118,129,130,132,133,134,136,143,150,225,233,256,257,283,285,295,301,315,
321,329,334,360,377,406,441,453,481,484,690,735,793,847,850,902,904,1395],[1,
2,3,5,6,11,12,16,20,22,26,27,33,56,63,64,68,91,110,111,125,137,142,148,154,
167,209,239,247,302,326,340,429,461,497,503,506,522,641,680,882,954,976,
1396],[1,2,3,5,11,12,16,22,26,27,56,57,60,63,68,91,110,111,125,148,209,239,
247,302,324,326,461,641,670,882,1397],[1,2,3,6,10,11,12,18,19,20,22,33,48,54,
63,65,67,71,137,142,154,163,165,166,167,205,230,231,348,383,426,429,511,517,
592,722,798,966,988,1398],[1,2,3,7,11,17,18,19,22,23,28,51,54,63,65,67,70,77,
84,88,104,123,125,128,138,140,148,205,217,245,255,287,296,305,309,311,327,362,
421,461,489,613,685,780,839,846,851,876,1399],[1,2,3,4,5,6,10,11,12,15,16,18,
19,20,22,24,27,33,48,62,63,67,68,69,71,90,109,110,116,125,127,137,142,148,154,
165,166,167,230,239,250,251,342,348,383,429,461,506,510,520,522,620,762,798,
952,976,1400],[1,2,3,4,5,7,10,11,12,13,14,15,16,21,23,24,27,28,48,49,50,53,55,
62,68,69,70,72,79,87,90,93,94,95,96,97,98,102,103,118,139,143,144,202,232,233,
234,241,249,250,289,290,297,329,336,343,345,360,367,370,372,377,386,396,435,
439,456,475,477,481,644,724,789,863,865,875,902,919,958,1016,1018,1401],[1,2,
3,4,6,7,11,13,15,20,21,23,24,25,26,30,32,61,66,69,72,74,80,85,86,91,92,95,99,
102,106,118,119,129,130,131,133,136,143,206,237,257,304,315,329,334,360,361,
364,390,393,437,448,449,464,472,479,480,689,713,735,751,803,850,892,1402],[1,
2,3,4,5,6,7,10,11,12,15,16,18,19,20,21,22,23,24,25,26,27,28,48,62,63,64,66,67,
68,69,70,71,72,90,91,94,98,107,108,111,112,113,114,115,120,122,124,126,138,
140,149,151,156,158,161,164,168,210,230,232,247,248,250,256,259,261,276,278,
284,285,299,300,308,316,323,326,327,339,341,344,347,350,353,355,361,364,491,
500,502,509,622,643,674,721,745,759,769,787,815,822,833,837,877,884,905,
1403],[1,2,3,6,7,11,12,13,14,20,21,23,25,32,49,52,55,56,60,64,66,78,81,82,83,
85,89,98,100,106,117,130,136,137,145,146,150,199,214,238,244,246,254,269,274,
306,325,330,335,349,352,354,357,371,410,414,424,431,438,444,450,451,463,469,
590,621,809,823,879,895,912,938,945,969,994,1404],[1,2,3,5,6,7,11,14,16,20,21,
23,25,26,27,28,31,32,61,66,68,70,72,79,80,83,85,87,89,91,92,106,117,118,121,
129,132,134,136,144,145,151,158,228,242,257,276,301,315,329,343,346,355,369,
387,412,415,416,438,440,445,458,676,725,797,838,850,869,900,1405],[1,2,3,5,6,
7,11,13,16,20,21,23,25,26,27,28,31,32,59,66,68,70,72,80,85,86,91,93,99,101,
103,106,121,129,130,132,133,134,136,139,143,151,158,228,242,257,276,279,289,
303,334,355,360,390,413,425,432,441,445,453,487,490,676,735,777,792,795,834,
867,1406],[1,2,3,4,5,6,7,11,12,15,16,18,19,20,21,22,23,24,25,26,27,28,31,34,
56,63,66,67,68,69,70,72,77,78,91,104,108,111,112,113,114,115,121,122,131,134,
137,138,140,151,152,153,156,158,159,161,162,164,211,228,237,243,245,247,253,
254,262,276,277,280,281,284,285,286,299,302,308,312,323,327,339,344,347,350,
353,355,358,361,491,499,500,504,640,668,733,745,766,768,772,791,808,812,814,
815,830,836,860,1407],[1,2,3,4,6,7,11,13,14,15,17,20,21,23,24,25,28,30,51,55,
66,69,70,72,75,83,95,96,97,99,102,118,119,131,136,139,143,144,155,201,226,227,
234,237,249,263,289,329,343,360,370,396,435,439,476,479,688,828,863,868,875,
892,893,1408],[1,2,3,6,7,11,12,20,23,28,33,52,56,57,58,60,64,70,78,137,142,
146,211,223,244,258,310,324,328,337,340,402,403,414,444,611,679,731,761,835,
859,897,1409],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,21,23,24,25,26,27,28,30,31,
33,34,51,66,67,68,69,70,72,77,91,104,107,108,112,113,114,115,119,121,122,123,
124,126,128,134,135,136,142,147,149,151,152,153,155,156,157,158,159,160,162,
164,226,227,228,236,245,256,260,262,276,280,284,285,286,300,311,313,316,323,
333,341,344,347,350,353,355,361,364,499,504,508,514,516,518,519,521,661,710,
729,733,737,747,752,757,766,769,772,810,833,870,1410],[1,2,3,6,7,11,12,13,14,
20,21,23,25,32,50,52,55,56,57,64,66,78,80,81,82,86,98,99,100,106,117,130,133,
136,137,146,150,199,221,246,252,254,258,269,274,298,307,318,328,335,354,356,
365,373,390,392,402,406,414,424,463,466,468,470,590,636,750,770,800,809,853,
924,929,980,984,1411],[1,2,3,4,6,7,11,13,14,15,20,21,22,23,24,26,30,55,61,63,
69,72,80,83,89,91,92,95,96,97,117,118,119,129,130,131,136,144,145,150,224,234,
257,261,304,315,319,329,338,339,343,346,359,370,435,450,474,476,486,698,799,
806,841,850,875,900,1412],[1,2,3,4,6,7,11,13,14,15,20,21,23,24,30,55,59,69,72,
74,85,86,95,97,99,101,102,105,117,118,119,129,130,131,133,136,144,150,206,215,
234,264,266,273,303,314,320,329,332,334,343,370,393,397,405,406,419,423,428,
435,448,464,474,479,485,591,713,760,778,849,856,875,922,967,991,1022,1413],[1,
2,3,6,7,11,12,13,14,20,21,22,23,25,26,32,50,55,56,60,63,64,66,78,80,81,82,86,
91,98,99,100,106,117,130,133,136,146,150,209,243,244,246,252,298,299,307,318,
335,354,356,359,365,390,406,431,463,469,634,650,740,750,774,857,895,1414],[1,
2,3,4,6,7,11,13,14,15,18,19,20,21,23,24,26,30,55,59,67,69,72,85,86,91,95,97,
99,101,102,107,117,118,119,124,129,130,131,133,136,144,150,215,234,253,256,
283,300,303,314,320,329,332,334,343,370,406,435,464,474,479,651,760,776,779,
820,875,904,1415],[1,2,3,4,6,7,11,13,15,20,21,22,23,24,25,30,32,61,63,66,69,
72,80,85,86,92,95,99,102,105,106,119,127,129,130,131,133,136,139,144,168,237,
251,261,264,278,289,304,315,334,343,390,401,419,428,434,437,449,464,479,699,
751,804,806,856,861,893,1416],[1,2,3,11,17,18,19,21,22,51,63,67,72,84,88,125,
148,217,229,231,255,261,296,305,317,362,461,489,613,658,780,1417],[1,2,3,5,6,
7,11,13,14,16,20,21,22,23,26,27,31,55,61,63,68,72,85,86,87,91,92,93,99,103,
117,129,130,132,133,134,136,139,144,150,225,233,253,261,289,295,301,315,321,
326,334,343,359,372,406,441,453,456,484,692,776,793,806,845,861,865,1418],[1,
2,3,4,5,6,7,11,13,15,16,18,19,20,21,23,24,25,27,30,32,61,66,67,68,69,72,80,85,
86,92,95,99,102,106,109,116,118,119,126,129,130,131,133,136,141,143,149,235,
237,256,304,315,316,329,334,342,360,390,399,404,408,437,446,449,464,479,632,
751,842,843,847,892,904,1419],[1,2,3,4,5,6,7,11,14,15,16,18,19,20,21,23,24,25,
27,30,32,59,66,67,68,69,72,80,83,85,89,96,97,101,106,109,116,117,119,126,129,
131,136,139,141,144,145,149,235,237,256,289,303,316,332,342,343,346,376,388,
400,409,436,437,438,476,486,632,744,779,852,891,893,896,1420],[1,2,3,4,6,7,11,
14,15,20,21,23,24,25,26,28,30,32,59,66,69,70,72,80,83,85,89,91,96,97,101,106,
117,118,119,121,129,131,136,143,145,156,164,228,237,253,284,303,329,332,346,
350,360,412,413,416,432,436,437,438,476,486,668,744,795,797,820,892,906,
1421],[1,2,3,4,6,7,11,14,15,20,21,23,24,25,26,30,32,59,66,69,72,74,80,83,85,
89,91,96,97,101,106,117,119,129,131,136,139,144,145,206,237,257,289,303,332,
343,346,361,364,397,436,437,438,462,473,476,485,486,689,744,777,849,893,899,
900,1422],[1,2,3,6,7,11,12,18,19,20,22,23,28,33,56,63,64,67,70,77,104,137,138,
140,142,163,165,166,208,231,245,277,327,340,383,426,492,498,637,684,858,988,
1014,1423],[1,2,3,4,6,7,11,13,14,15,18,19,20,21,23,24,26,30,55,61,67,69,72,80,
83,89,91,92,95,96,97,107,117,119,124,129,130,131,136,139,143,145,150,224,234,
253,256,283,289,300,304,315,319,338,346,360,396,439,450,474,476,486,651,799,
845,847,852,863,906,1424],[1,2,3,6,7,11,12,13,14,20,23,25,26,28,32,49,50,56,
64,66,70,78,81,82,83,91,99,106,133,137,145,146,150,151,156,211,238,243,252,
254,284,298,325,335,355,356,357,371,373,410,443,470,640,653,667,740,800,908,
912,1425],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,20,21,23,24,25,27,28,29,30,31,
32,48,53,59,61,62,64,66,68,69,70,71,72,76,78,79,80,81,82,83,85,86,87,89,90,92,
93,94,95,96,97,98,99,100,101,102,103,106,117,119,129,130,131,132,133,134,136,
145,150,155,162,169,170,210,216,219,226,232,237,242,250,262,265,267,270,279,
282,288,290,292,293,294,298,301,303,304,307,315,318,319,320,321,325,332,334,
345,346,349,351,352,363,369,378,387,390,395,430,433,436,437,438,440,441,442,
443,445,449,453,454,463,464,465,467,474,476,478,479,482,483,484,486,490,663,
703,725,742,743,744,751,755,792,817,826,925,932,949,951,955,973,977,983,
1426],[1,2,3,7,10,11,12,21,23,26,28,29,48,59,61,70,72,76,78,91,92,94,98,100,
101,118,129,136,139,216,219,232,248,253,257,265,280,282,289,303,315,329,351,
363,386,442,477,483,677,724,755,777,820,845,850,1427],[1,2,3,4,5,10,11,12,15,
16,18,19,22,24,27,48,62,63,67,68,69,90,109,110,116,127,146,163,230,239,250,
251,331,342,426,620,711,722,1428],[1,2,3,4,11,12,15,22,24,26,56,57,60,63,69,
91,120,125,127,148,209,251,259,281,324,339,461,652,670,882,1429],[1,2,3,6,10,
11,12,18,19,20,22,26,33,48,63,67,71,91,111,120,125,137,142,148,154,165,166,
167,230,247,248,259,347,348,383,429,461,493,497,503,513,643,762,798,953,954,
1430],[1,2,3,6,7,11,12,13,14,20,23,28,32,33,49,50,52,56,57,58,60,64,70,78,81,
82,83,99,106,133,137,142,145,146,150,211,221,222,223,238,252,274,298,310,324,
325,330,337,340,356,357,371,373,402,403,414,443,444,466,469,471,612,653,714,
761,781,897,898,914,915,929,969,1431],[1,2,3,6,11,12,14,18,19,20,33,49,52,56,
58,60,64,67,82,83,137,142,146,165,166,208,223,238,244,274,322,330,337,340,383,
410,470,471,612,637,642,715,716,718,835,1432],[1,2,3,4,5,6,11,13,14,15,16,17,
18,19,20,21,22,24,25,26,27,51,55,63,66,67,68,69,72,83,84,87,88,91,95,97,99,
103,108,109,111,112,116,120,157,160,161,168,229,231,233,234,236,247,253,255,
257,259,261,263,278,283,299,308,313,317,323,326,333,339,341,342,344,347,359,
361,364,658,692,698,721,723,739,754,819,855,872,877,883,889,910,911,1433],[1,
2,3,6,11,12,13,20,22,50,52,56,57,58,60,63,64,81,99,146,209,221,222,223,244,
252,310,324,330,337,431,468,611,650,670,709,732,781,813,1434],[1,2,3,6,11,12,
13,20,33,50,52,56,57,60,64,81,99,137,142,146,199,221,252,258,324,328,330,337,
340,371,373,431,468,626,636,709,714,731,736,829,1435],[1,2,3,6,11,12,13,20,22,
33,50,52,56,58,60,63,64,81,99,137,142,146,154,167,209,223,244,252,269,322,330,
337,340,371,373,429,457,608,650,680,714,716,813,835,1436],[1,2,3,4,5,6,11,12,
13,14,15,16,18,19,20,21,24,25,26,27,54,55,56,65,66,67,68,69,72,81,82,87,91,95,
97,103,107,108,109,112,113,114,115,116,122,124,126,149,205,208,229,233,234,
243,246,253,256,257,281,283,285,300,302,312,316,323,341,342,344,347,353,361,
364,375,380,385,417,610,619,651,690,693,741,748,753,754,769,812,832,833,840,
911,1437],[1,2,3,4,5,6,7,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,
30,31,34,55,56,63,66,67,68,69,70,72,77,78,79,81,82,90,91,93,95,96,97,102,104,
109,113,114,115,116,119,121,122,127,134,138,140,141,151,152,153,155,158,159,
161,162,164,211,226,228,234,235,240,241,245,246,249,251,262,276,277,280,281,
283,285,286,302,308,312,326,327,341,342,350,353,355,358,359,364,381,389,454,
467,499,504,505,515,631,635,719,720,730,733,737,738,807,808,816,832,844,860,
885,1438],[1,2,3,4,6,7,11,13,14,15,20,21,23,24,30,55,61,69,72,74,80,83,89,92,
95,96,97,105,117,119,129,130,131,136,139,143,145,150,206,224,234,264,266,273,
289,304,315,319,338,346,360,391,396,401,427,434,439,450,462,472,473,474,476,
480,486,591,799,803,804,863,899,909,950,959,992,1003,1439],[1,2,3,7,10,11,12,
18,19,21,22,23,28,29,48,59,61,63,67,70,72,76,78,92,94,98,100,101,129,136,138,
140,143,144,216,219,230,232,256,261,265,282,303,315,327,343,351,360,363,367,
442,475,483,674,755,779,782,789,806,847,1440],[1,2,3,4,5,6,7,11,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,31,34,51,55,63,66,67,68,69,70,72,73,79,83,
87,91,93,95,97,99,103,109,110,114,115,116,121,123,126,128,132,134,136,138,140,
141,149,152,153,156,157,158,159,160,162,168,200,227,228,229,233,234,235,239,
241,242,262,263,276,278,280,283,284,285,286,311,313,316,317,323,326,327,333,
342,358,359,361,364,381,389,440,441,496,501,507,512,631,638,710,746,754,772,
805,807,811,864,890,901,903,907,910,1441],[1,2,3,6,11,17,18,19,20,21,22,25,33,
51,63,66,67,72,84,88,135,142,147,154,163,165,166,167,229,231,255,260,261,317,
368,383,384,398,407,426,429,452,455,658,734,765,987,988,1442],[1,2,3,4,5,7,10,
11,12,15,16,21,23,24,27,28,29,34,48,59,61,62,68,69,70,72,76,78,90,92,94,98,
100,101,105,118,129,136,139,141,152,153,159,216,219,232,235,250,264,265,282,
286,289,303,315,329,351,363,376,382,386,400,401,405,408,423,434,442,446,477,
483,488,695,724,755,778,804,842,891,942,970,971,1024,1443],[1,2,3,4,5,6,7,11,
14,15,16,18,19,20,21,23,24,25,27,31,32,61,66,67,68,69,72,79,80,83,85,87,89,92,
105,106,109,113,116,117,122,129,132,134,136,139,143,145,242,256,264,289,301,
315,342,346,353,360,369,387,391,401,427,434,438,440,445,623,725,804,847,852,
867,909,1444],[1,2,3,4,5,6,7,11,12,13,15,16,20,21,22,23,24,25,27,30,31,50,56,
60,63,64,66,68,69,78,81,90,93,95,98,99,100,102,103,119,131,132,134,136,137,
146,161,168,209,240,244,252,254,278,308,335,336,354,373,378,430,441,444,451,
454,470,479,647,650,774,800,873,879,881,1445],[1,2,3,6,7,11,12,13,14,20,23,28,
32,33,49,50,52,56,57,58,60,64,70,78,81,82,83,99,106,133,137,142,145,146,150,
211,214,220,223,238,252,269,298,322,324,325,328,337,340,356,357,402,403,410,
414,431,443,444,457,468,470,608,653,709,718,761,796,897,924,945,995,1011,
1446],[1,2,3,5,6,11,16,17,18,19,20,22,25,27,33,51,63,66,67,68,73,84,88,125,
126,135,142,147,148,149,161,163,200,255,260,305,308,316,362,374,418,426,452,
455,461,489,639,765,780,917,979,1447],[1,2,3,4,11,12,15,17,24,26,51,56,58,69,
75,91,146,160,201,212,236,281,333,337,669,691,773,1448],[1,2,3,4,6,7,11,14,15,
20,21,22,23,24,25,30,32,59,63,66,69,72,80,83,85,89,96,97,101,105,106,117,118,
119,127,129,131,136,143,145,168,237,251,261,264,278,303,329,332,346,360,391,
405,423,427,436,437,438,476,486,699,744,778,782,841,892,909,1449],[1,2,3,6,7,
11,12,20,21,23,25,26,28,29,56,57,60,66,70,76,78,91,92,98,100,101,129,136,137,
151,156,211,243,244,254,258,282,284,354,355,392,402,442,444,451,483,640,678,
679,770,786,857,879,1450],[1,2,3,4,5,7,11,12,15,16,17,18,19,21,22,23,24,26,27,
28,34,51,56,58,63,67,68,69,70,72,75,84,88,90,91,105,107,109,111,116,123,124,
127,128,136,152,153,157,159,160,164,201,212,227,236,240,243,247,251,255,257,
264,277,280,281,286,300,311,312,313,317,323,326,333,339,342,347,350,364,422,
459,494,495,624,675,682,691,710,730,739,749,802,810,814,840,862,888,889,
1451],[1,2,3,5,6,7,11,16,17,18,19,20,21,22,23,25,26,27,28,31,33,51,63,66,67,
68,70,72,91,108,111,112,114,115,121,123,126,128,132,134,135,136,138,140,141,
142,147,149,151,156,157,158,161,162,227,228,229,235,236,242,247,253,257,260,
262,276,280,284,285,299,308,311,313,316,317,323,326,327,341,344,347,355,358,
361,491,500,516,519,645,676,727,729,745,752,757,772,811,816,822,830,864,889,
911,1452],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,21,22,23,24,25,26,27,28,31,33,
34,51,63,66,67,68,69,70,72,73,84,88,91,108,109,110,112,114,115,116,123,126,
128,131,134,135,138,140,141,142,147,149,151,152,153,157,158,159,160,161,162,
168,200,231,235,237,239,255,256,260,262,276,278,285,286,299,308,311,313,316,
317,323,326,327,333,339,341,342,344,347,355,358,374,418,496,501,507,512,516,
519,632,639,728,729,739,769,805,816,819,822,836,886,890,894,903,1453],[1,2,3,
4,5,6,7,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,34,55,56,63,
66,67,68,69,70,72,77,78,79,81,82,87,90,91,93,96,102,103,104,105,107,109,110,
116,119,121,124,126,134,138,140,149,152,153,155,156,158,159,162,164,168,211,
226,228,233,239,240,241,245,246,249,262,264,276,277,278,280,281,283,284,286,
300,302,312,316,323,327,339,342,350,358,359,361,379,420,454,467,501,507,508,
518,630,635,719,741,747,749,764,772,783,805,808,818,860,871,907,1454],[1,2,3,
4,6,11,12,15,20,22,24,26,33,56,63,64,69,91,120,125,127,137,142,148,154,167,
209,251,259,281,339,340,429,461,493,510,513,520,652,680,882,952,953,1455],[1,
2,3,4,5,6,7,11,12,15,16,18,19,20,21,22,23,24,25,26,27,28,31,34,56,63,66,67,68,
69,70,72,90,91,108,109,110,111,112,114,115,116,126,132,134,137,138,140,141,
149,152,153,156,158,159,161,162,168,209,231,235,239,240,242,247,254,261,262,
276,277,278,284,285,286,299,302,308,312,316,326,327,339,341,342,344,358,364,
491,500,501,507,641,647,659,728,738,745,746,768,784,805,816,818,819,821,877,
1456],[1,2,3,4,5,6,7,10,11,12,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,34,
48,62,63,64,66,67,68,69,70,71,72,77,90,91,94,98,104,105,107,113,114,115,119,
122,124,126,131,132,134,141,149,151,152,153,155,156,158,159,161,162,164,168,
210,226,229,230,232,235,237,242,245,248,250,262,264,276,278,284,285,286,300,
308,316,323,326,339,341,350,353,355,358,361,364,382,395,430,488,499,504,508,
518,663,695,700,733,746,747,787,816,836,837,864,871,874,884,905,1457],[1,2,3,
4,5,6,7,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,48,51,56,
62,63,64,66,67,68,69,70,71,72,90,91,94,98,108,112,113,119,122,123,126,128,131,
132,134,135,137,142,147,149,151,155,156,157,160,161,162,168,203,210,226,230,
232,237,242,248,250,254,260,262,277,278,281,284,299,302,308,311,312,313,316,
317,333,340,341,344,348,353,355,361,395,430,514,516,519,521,602,622,663,727,
729,758,768,785,787,791,821,837,870,886,887,1458],[1,2,3,6,7,11,12,13,14,18,
19,20,21,23,25,26,32,49,55,56,60,64,66,67,78,81,82,83,85,89,91,98,100,106,108,
112,117,130,136,145,146,150,208,238,243,244,246,283,306,325,335,344,349,352,
354,357,431,438,450,463,469,642,693,775,823,857,895,908,1459],[1,2,3,6,7,11,
12,13,14,20,21,22,23,25,26,32,49,55,56,57,63,64,66,78,81,82,83,85,89,91,98,
100,106,117,130,136,145,146,150,209,238,243,246,258,299,306,325,335,349,352,
354,357,359,438,450,463,466,468,634,666,774,786,823,853,908,1460],[1,2,3,11,
12,18,19,21,54,56,57,60,65,67,72,163,205,208,229,256,312,324,426,619,656,858,
1461],[1,2,3,4,6,7,11,13,15,20,21,23,24,25,26,28,30,32,61,66,69,70,72,80,85,
86,91,92,95,99,102,106,119,121,129,130,131,133,136,139,144,156,164,228,237,
253,284,289,304,315,334,343,350,390,415,425,437,449,458,464,479,487,668,751,
776,834,838,845,893,1462],[1,2,3,5,6,7,11,12,13,14,16,17,18,19,20,21,22,23,25,
26,27,28,31,33,51,55,56,58,63,66,67,68,70,72,73,79,81,82,83,84,87,88,91,93,99,
103,108,112,123,126,128,132,134,135,136,137,142,147,149,151,156,157,161,162,
200,212,227,233,236,241,242,246,254,255,260,262,263,277,283,284,299,302,308,
311,312,313,316,317,341,344,355,359,361,374,418,440,441,457,471,516,519,638,
639,654,655,720,723,727,729,741,752,768,821,862,872,901,1463],[1,2,3,4,6,7,11,
15,17,18,19,20,21,22,23,24,25,26,28,30,33,51,63,66,67,69,70,72,91,105,107,108,
112,113,119,120,121,122,123,124,128,131,135,136,138,140,142,147,151,155,156,
160,164,168,226,227,228,229,236,237,253,257,259,260,264,278,280,284,299,300,
311,317,327,333,339,341,344,347,350,353,355,358,361,364,502,509,514,521,668,
682,737,752,759,790,810,811,815,855,870,871,874,886,911,1464],[1,2,3,6,10,11,
12,18,19,20,22,25,26,33,48,63,64,66,67,71,91,108,112,137,142,146,154,165,166,
167,210,230,248,299,331,344,348,371,383,429,470,622,711,798,824,1000,1465],[1,
2,3,6,11,12,14,20,22,49,52,56,57,58,60,63,64,82,83,146,209,214,220,223,238,
258,322,324,328,337,466,469,614,666,670,731,796,813,898,1466],[1,2,3,10,11,12,
18,19,22,26,48,63,67,91,111,120,146,163,230,247,248,259,331,347,426,643,711,
722,1467],[1,2,3,4,5,6,7,11,12,15,16,18,19,20,22,23,24,25,26,27,28,30,31,34,
56,63,66,67,68,69,70,77,90,91,104,107,109,110,113,114,115,116,119,122,124,126,
127,134,137,138,140,149,151,152,153,155,156,158,159,161,162,164,168,208,226,
231,239,240,245,251,254,262,276,277,278,281,284,285,286,299,300,302,308,316,
326,327,339,342,347,350,353,355,499,501,504,505,507,508,515,518,684,686,728,
730,733,747,753,768,785,794,805,815,818,822,844,1468],[1,2,3,4,6,7,11,13,14,
15,17,18,19,20,21,22,23,24,25,26,28,51,55,63,66,67,69,70,72,83,84,88,91,95,96,
97,99,102,107,108,111,112,113,120,122,123,124,127,128,138,140,151,160,164,168,
231,234,236,247,249,251,253,255,256,259,263,278,280,283,299,300,311,317,327,
333,339,344,347,350,353,355,358,359,361,364,422,459,502,509,651,675,759,763,
783,794,810,830,833,855,872,883,885,894,910,1469],[1,2,3,4,6,7,11,12,13,14,15,
18,19,20,21,22,23,24,25,26,28,55,56,63,66,67,69,70,72,81,82,91,95,96,97,102,
107,111,113,120,122,124,127,138,140,156,164,168,209,231,234,243,246,247,249,
251,257,259,261,277,278,280,281,283,284,299,300,312,327,339,341,347,350,353,
358,359,364,634,652,698,764,783,784,790,794,814,815,832,840,877,883,885,
1470],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,34,
51,55,63,66,67,68,69,70,72,75,83,87,91,95,96,97,99,102,103,105,107,109,113,
116,119,121,122,123,124,127,128,131,136,138,140,151,152,153,155,157,159,160,
161,164,201,226,227,228,229,233,234,237,249,251,263,264,280,283,286,300,308,
311,313,317,323,327,333,339,341,342,350,353,355,358,359,364,379,420,476,479,
494,495,505,515,630,688,710,723,737,754,763,783,802,811,836,844,874,885,888,
1471],[1,2,3,4,5,7,10,11,12,15,16,17,18,19,21,22,23,24,26,27,28,34,48,51,56,
62,63,67,68,69,70,72,73,75,90,91,94,98,105,107,109,110,114,115,116,123,124,
127,128,141,152,153,157,158,159,160,164,200,201,203,230,232,235,239,240,248,
250,251,264,276,277,281,285,286,300,302,311,312,313,317,323,326,333,339,342,
350,364,382,488,494,495,496,512,589,620,695,730,738,749,758,802,818,884,887,
888,890,903,905,1472],[1,2,3,6,10,11,12,18,19,20,22,25,26,48,63,64,66,67,71,
91,108,112,125,148,163,210,230,248,299,344,426,461,622,722,762,1473],[1,2,3,6,
7,11,12,13,14,17,20,21,23,25,32,33,49,51,55,56,57,58,64,66,78,81,82,83,85,89,
98,99,100,106,117,130,135,136,137,142,145,146,147,150,212,220,238,246,254,258,
260,263,306,310,325,335,349,352,354,357,371,392,402,403,410,438,450,457,460,
463,466,468,471,654,697,770,823,853,880,912,915,943,993,1011,1474],[1,2,3,4,5,
6,7,11,12,15,16,18,19,20,21,22,23,24,25,26,27,28,30,34,56,63,66,67,68,69,70,
72,90,91,105,107,108,109,112,113,116,119,120,122,124,127,131,137,138,140,151,
152,153,155,159,161,164,168,209,226,231,237,240,251,254,259,261,264,277,278,
281,286,299,300,308,312,323,326,327,339,342,344,350,353,355,358,361,502,505,
509,515,647,652,699,721,730,749,759,784,785,791,794,819,836,844,871,1475],[1,
3,4,5,6,7,17,18,19,22,24,25,26,27,28,30,33,34,65,73,84,104,107,108,109,111,
113,114,123,127,135,138,148,149,152,154,155,156,158,160,161,163,166,217,305,
309,374,380,398,422,455,497,498,500,510,512,515,517,518,521,704,846,962,972,
979,997,1007,1476],[1,2,4,5,6,7,10,13,14,15,16,20,21,23,30,31,32,34,53,59,62,
71,74,79,80,85,92,94,97,102,103,105,106,117,118,119,121,130,131,132,133,134,
139,141,143,144,145,159,216,266,268,272,279,290,294,319,321,332,367,379,386,
387,388,389,395,396,400,404,405,412,415,425,427,428,432,434,435,446,448,449,
456,472,473,478,481,485,488,701,742,919,926,941,947,959,964,970,981,990,991,
1001,1006,1013,1477],[1,3,4,5,6,7,17,18,22,24,25,26,27,28,30,33,34,54,73,84,
104,107,111,112,115,116,122,125,127,128,135,140,149,152,154,155,156,158,160,
161,163,166,217,287,362,374,375,398,422,455,491,492,496,503,505,511,514,518,
520,704,839,917,931,962,996,999,1478],[1,3,4,5,6,7,17,18,22,24,25,26,27,28,31,
33,34,54,75,84,104,107,110,112,115,116,120,122,125,128,140,147,149,151,153,
157,162,163,164,166,167,168,217,287,362,375,407,411,447,452,495,498,504,506,
507,509,511,513,516,705,839,920,1012,1017,1019,1025,1479],[1,2,4,5,6,7,12,13,
14,15,16,20,21,23,29,30,31,34,49,74,76,78,79,80,81,86,87,90,92,93,96,97,98,
101,102,105,118,119,121,133,134,139,141,143,144,145,150,159,266,271,275,282,
288,295,297,314,318,319,357,372,376,377,382,388,389,393,396,397,399,412,413,
415,419,420,423,427,433,434,435,446,454,465,472,473,475,477,487,707,717,939,
942,956,959,960,963,985,989,990,1010,1016,1022,1026,1480],[1,2,4,5,6,7,10,13,
14,15,16,20,21,23,30,31,32,34,53,61,62,71,74,80,85,87,93,94,95,96,101,105,106,
117,118,119,121,130,131,132,133,134,139,141,143,144,145,159,219,272,273,275,
288,294,301,304,320,345,367,370,372,376,377,381,386,388,395,397,401,404,408,
412,413,420,423,425,427,428,436,439,448,458,473,478,480,488,490,708,743,913,
922,923,926,935,939,950,958,965,971,978,1010,1013,1481],[1,2,4,5,6,7,12,13,14,
15,16,20,21,23,29,30,31,34,50,74,76,78,79,82,85,89,90,92,93,95,96,98,101,102,
103,105,118,119,121,133,134,139,141,143,144,145,150,159,268,271,273,282,291,
320,321,336,338,349,356,370,376,379,381,382,391,397,404,409,413,415,416,423,
425,428,433,434,439,446,448,456,462,465,467,472,475,477,481,706,712,922,923,
941,942,957,960,968,974,982,1002,1003,1006,1018,1482],[1,2,4,5,7,10,13,14,15,
16,21,23,34,53,61,62,74,79,86,89,94,97,101,102,103,105,118,121,139,141,143,
144,150,159,219,224,225,266,268,272,290,291,292,314,367,376,379,386,389,391,
393,396,397,399,401,408,409,413,416,419,423,435,456,458,462,480,481,487,488,
616,701,919,921,936,965,968,971,989,992,1002,1004,1005,1022,1023,1483],[1,3,4,
5,6,7,17,18,19,22,24,25,26,27,28,31,33,34,65,75,84,104,108,109,110,115,120,
122,123,124,126,138,147,148,151,153,157,162,163,164,166,167,168,217,305,309,
385,407,411,447,452,492,493,494,501,502,504,517,519,522,705,846,928,1008,1012,
1020,1021,1484],[1,2,4,5,6,7,12,13,15,16,20,21,23,34,50,59,61,74,80,81,86,90,
93,95,98,100,102,103,105,118,121,129,130,131,132,133,139,141,143,144,159,215,
225,268,271,273,279,304,318,336,363,365,370,378,379,381,382,388,393,399,400,
401,405,408,412,419,427,432,439,453,456,458,464,473,475,477,480,481,485,487,
706,848,913,937,947,950,956,967,981,985,1004,1005,1009,1018,1024,1485],[1,3,4,
5,6,7,17,18,19,22,24,25,26,27,28,30,33,34,54,73,84,88,104,107,111,112,115,116,
122,126,127,128,135,140,148,149,152,154,155,156,158,160,161,163,165,166,167,
287,296,305,374,375,384,398,418,422,455,491,492,496,497,505,510,511,514,518,
851,946,961,972,979,996,999,1486],[1,3,4,5,6,7,17,18,19,22,24,25,26,27,28,31,
33,34,65,75,84,88,104,108,109,110,113,115,120,122,123,124,125,126,138,147,151,
153,154,157,162,163,164,165,166,167,168,296,309,362,368,385,394,407,411,447,
452,492,494,501,502,504,506,513,517,519,876,920,930,998,1008,1019,1020,1487],[
1,2,4,5,6,7,12,14,15,16,20,21,23,34,49,59,61,74,79,82,85,87,89,90,96,97,98,
100,105,117,118,121,129,131,132,139,141,143,144,145,159,213,224,266,271,275,
297,301,306,332,349,363,369,372,377,382,389,391,396,400,401,404,405,408,409,
416,420,425,428,432,435,448,458,462,475,477,480,482,485,486,707,771,935,957,
974,975,978,986,991,992,1001,1009,1016,1023,1024,1488],[1,3,4,5,6,7,17,18,19,
22,24,25,26,27,28,31,33,34,54,75,84,88,104,107,110,112,113,115,116,120,122,
128,140,147,148,149,151,153,154,157,162,163,164,165,166,167,168,287,296,305,
368,375,394,407,411,447,452,493,495,498,504,507,509,511,516,522,851,928,930,
998,1017,1021,1025,1489],[1,3,4,5,6,7,17,18,19,22,24,25,26,27,28,30,33,34,65,
73,84,88,104,107,108,109,111,113,114,123,125,126,127,135,138,149,152,154,155,
156,158,160,161,163,165,166,167,296,309,362,374,380,384,398,418,422,455,498,
500,503,512,515,517,518,520,521,876,917,931,946,961,997,1007,1490],[1,2,3,6,7,
10,11,12,13,14,20,21,23,33,48,49,50,52,53,55,57,58,60,71,78,81,82,83,86,89,94,
99,100,117,130,133,136,137,142,145,146,150,202,204,214,218,220,221,222,269,
274,292,293,306,331,348,351,356,357,365,373,392,402,403,406,410,414,424,431,
444,450,451,457,460,466,468,469,471,478,617,702,767,854,914,927,929,938,940,
943,945,948,984,1011,1015,1491],[1,2,4,5,7,10,13,14,15,16,21,23,34,53,59,62,
74,86,87,89,92,93,94,95,96,105,118,121,139,141,143,144,150,159,213,215,216,
272,273,275,292,295,338,345,367,370,372,377,381,386,391,393,399,400,405,409,
415,416,419,420,432,434,439,446,462,472,485,487,488,615,708,921,936,937,958,
963,964,967,970,975,982,986,1003,1026,1492],[1,2,3,6,7,10,11,12,13,14,20,21,
23,25,32,33,48,52,53,57,58,60,64,66,71,78,80,81,82,83,85,94,99,100,106,117,
130,133,136,137,142,145,146,204,210,218,269,274,293,294,298,307,310,322,325,
328,330,331,348,351,352,371,390,392,402,403,414,424,431,438,444,451,457,460,
466,468,469,470,471,478,702,817,824,878,915,924,927,940,944,948,969,980,993,
994,995,1493],[1,2,8,9,12,36,37,52,171,180,525,531,532,536,1494],[1,2,8,9,13,
21,36,37,86,171,176,185,188,193,525,577,1033,1036,1495],[1,2,5,8,9,16,21,36,
37,42,46,141,171,183,188,192,193,525,527,579,1033,1034,1496],[1,2,8,9,21,36,
37,143,171,188,193,525,1033,1497],[1,2,7,8,9,10,21,23,36,37,43,44,45,94,171,
175,184,187,188,190,193,523,524,525,566,580,1031,1032,1033,1498],[1,2,8,9,21,
36,37,144,171,188,193,525,1033,1499],[1,2,4,8,9,15,21,36,37,41,47,105,171,182,
188,191,193,525,526,578,1033,1037,1500],[1,2,8,9,14,21,36,37,89,171,174,188,
189,193,525,575,1033,1035,1501],[1,2,4,5,8,9,10,15,16,36,37,41,42,46,47,62,
171,175,182,183,184,191,192,525,526,527,559,585,1031,1034,1037,1502],[1,2,4,5,
7,8,9,15,16,23,34,36,37,41,42,43,44,45,46,47,159,171,182,183,187,190,191,192,
194,195,196,198,523,524,525,526,527,582,584,1032,1034,1037,1038,1039,1503],[1,
2,8,9,10,13,14,36,37,53,171,174,175,176,184,185,189,525,533,570,1031,1035,
1036,1504],[1,2,7,8,9,13,14,23,36,37,43,44,45,150,171,174,176,185,187,189,190,
523,524,525,572,573,1032,1035,1036,1505],[1,2,7,10,21,23,35,94,118,139,172,
173,386,528,529,530,1040,1041,1042,1506],[1,2,3,8,11,12,17,36,51,52,56,58,180,
212,223,531,532,587,1046,1507],[1,2,3,9,11,12,17,37,51,52,56,58,181,212,223,
536,544,587,1508],[1,2,3,8,10,11,12,13,14,36,48,49,50,52,53,55,57,58,60,174,
175,176,202,204,214,218,220,221,222,531,533,617,1043,1044,1045,1509],[1,2,3,7,
9,11,17,21,23,28,29,37,51,59,61,70,72,76,92,101,129,136,181,186,227,303,315,
442,544,547,549,560,609,1510],[1,2,3,6,8,10,11,12,20,25,36,38,39,48,52,57,58,
60,64,66,71,175,178,179,204,210,218,310,322,328,330,531,553,878,1045,1047,
1048,1511],[1,2,3,8,11,12,36,40,52,56,58,177,180,199,223,531,552,586,1046,
1050,1512],[1,2,3,7,8,11,12,23,28,36,44,52,56,58,70,78,146,180,187,211,223,
337,403,414,531,555,761,1046,1060,1513],[1,2,3,9,11,17,18,19,22,37,51,63,67,
84,88,181,217,255,296,544,613,1049,1514],[1,2,3,6,8,11,12,20,33,36,39,52,56,
58,60,64,137,142,178,180,223,244,322,330,340,531,543,716,1046,1047,1515],[1,2,
3,6,8,11,12,14,20,33,36,49,52,56,58,64,82,83,137,142,180,189,223,238,274,340,
471,531,554,612,1046,1069,1516],[1,2,3,8,11,12,36,52,56,57,58,60,180,223,244,
324,531,542,611,1046,1517],[1,2,3,8,10,11,12,17,36,40,48,51,52,56,58,175,177,
180,199,203,204,212,223,531,541,588,1045,1046,1050,1518],[1,2,3,6,8,11,12,20,
33,36,38,52,56,57,58,64,137,142,179,180,223,258,310,328,340,531,551,859,1046,
1048,1519],[1,2,3,8,11,12,22,36,52,56,58,63,146,180,209,223,337,531,550,813,
1046,1520],[1,2,3,6,8,11,12,13,20,36,39,50,52,56,57,58,60,64,81,99,176,178,
180,221,222,223,252,310,324,330,531,546,781,1043,1046,1047,1521],[1,2,3,6,8,
11,12,13,20,36,38,40,50,52,56,57,64,81,99,176,177,179,199,221,252,258,328,531,
540,636,1043,1048,1050,1522],[1,2,3,8,11,12,36,52,56,57,58,60,180,223,258,324,
531,548,614,1046,1523],[1,2,3,6,8,11,12,14,20,36,38,49,52,56,57,58,60,64,82,
83,174,179,180,214,220,223,238,322,324,328,531,545,796,1044,1046,1048,1524],[
1,2,3,6,8,11,12,13,20,33,36,50,52,56,58,64,81,99,137,142,180,185,223,252,269,
340,457,531,557,608,1046,1054,1525],[1,2,3,8,11,12,21,36,52,56,58,72,100,146,
180,188,207,223,337,424,460,531,558,866,1046,1063,1526],[1,3,7,9,17,18,19,22,
28,45,65,84,104,123,138,148,181,217,305,309,539,846,1049,1527],[1,3,7,9,17,18,
22,28,43,54,84,104,125,128,140,181,217,287,362,537,839,1049,1528],[1,2,3,8,11,
12,18,19,36,52,56,58,67,146,180,208,223,337,531,556,715,1046,1529],[1,2,3,6,8,
11,12,14,20,36,39,40,49,52,56,60,64,82,83,174,177,178,199,214,238,244,330,531,
538,621,1044,1047,1050,1530],[1,2,3,6,8,10,11,12,13,14,20,33,36,38,39,40,48,
52,53,58,71,81,82,83,99,137,142,174,175,176,177,178,179,180,197,204,269,274,
293,348,457,471,532,533,538,540,541,543,545,546,551,552,553,569,702,1051,1052,
1053,1086,1102,1108,1110,1531],[1,2,4,5,7,8,10,13,14,15,16,21,23,34,36,53,62,
74,79,94,97,102,103,105,121,141,159,175,185,189,266,268,272,290,379,389,488,
534,570,701,1056,1058,1062,1532],[1,2,3,8,10,11,12,18,19,22,36,40,48,54,63,65,
67,175,177,180,205,230,231,535,541,592,1059,1533],[1,3,5,6,9,17,18,22,25,27,
33,46,73,84,135,149,154,161,166,181,217,374,398,563,704,1049,1534],[1,2,4,7,8,
13,14,15,21,23,36,44,74,89,92,95,96,105,139,143,150,174,185,187,273,338,391,
434,439,462,472,534,572,1003,1057,1061,1073,1535],[1,2,4,6,7,8,14,15,20,21,23,
30,36,39,44,74,80,92,97,105,119,139,143,145,178,187,189,266,319,396,427,434,
472,473,534,565,959,1061,1062,1067,1536],[1,2,7,8,12,21,23,36,59,61,74,98,100,
121,129,143,144,180,188,271,363,432,458,475,480,485,534,558,1009,1066,1070,
1072,1537],[1,2,5,8,14,16,21,36,59,74,87,89,139,141,144,174,188,189,213,275,
372,400,409,462,485,534,575,986,1065,1072,1073,1538],[1,2,6,7,8,12,14,20,21,
23,36,38,74,82,85,89,98,118,121,139,145,174,179,180,271,349,416,425,448,462,
477,534,545,974,1064,1066,1073,1539],[1,2,4,7,8,13,14,15,21,23,36,44,74,86,97,
101,102,105,118,144,150,176,187,189,266,314,393,397,419,423,435,534,573,1022,
1055,1062,1071,1540],[1,2,5,8,13,16,21,36,61,74,86,103,118,141,143,176,185,
188,225,268,393,399,408,480,481,534,577,1004,1055,1058,1070,1541],[1,2,4,6,8,
14,15,20,21,36,38,59,74,85,97,105,117,118,131,144,179,188,189,266,332,405,428,
435,448,485,534,571,991,1062,1064,1072,1542],[1,2,4,8,14,15,21,36,61,74,89,97,
105,139,143,174,188,189,224,266,391,396,401,462,480,534,575,992,1062,1070,
1073,1543],[1,2,5,6,8,14,16,20,21,36,38,61,74,85,87,117,118,132,141,143,179,
188,189,275,301,377,404,408,448,480,534,571,978,1064,1065,1070,1544],[1,2,5,6,
7,8,14,16,20,21,23,31,36,39,44,74,80,87,101,134,139,141,144,145,178,187,189,
275,288,372,376,388,397,473,534,565,939,1065,1067,1071,1545],[1,2,4,5,7,8,12,
13,15,16,21,23,34,36,50,74,90,93,95,98,102,103,105,121,141,159,180,185,268,
271,273,336,379,381,382,534,557,706,1057,1058,1066,1546],[1,2,4,5,7,8,12,14,
15,16,21,23,34,36,49,74,79,87,90,96,97,98,105,121,141,159,180,189,266,271,275,
297,382,389,420,534,554,707,1062,1065,1066,1547],[1,2,3,7,8,10,11,12,21,23,28,
36,40,48,70,72,74,94,98,121,175,177,180,206,228,232,271,272,534,541,593,1056,
1066,1068,1548],[1,2,3,4,8,11,13,14,15,21,24,36,40,55,69,72,74,95,97,105,177,
185,189,206,234,264,266,273,534,568,591,1057,1062,1068,1549],[1,2,6,7,8,10,20,
21,23,32,36,38,39,71,74,80,85,94,106,118,121,139,175,178,179,272,294,386,412,
425,448,473,534,553,1013,1056,1064,1067,1550],[1,2,7,8,10,13,14,21,23,36,53,
74,86,89,94,118,121,139,150,174,175,176,272,292,386,393,416,462,487,533,534,
936,1055,1056,1073,1551],[1,2,7,8,10,21,23,36,44,59,74,92,94,121,143,144,175,
187,188,216,272,367,415,432,472,485,534,566,964,1056,1061,1072,1552],[1,2,7,8,
10,21,23,36,44,61,74,94,101,121,143,144,175,187,188,219,272,367,397,413,458,
480,534,566,965,1056,1070,1071,1553],[1,2,4,8,13,15,21,36,59,74,86,95,105,118,
144,176,185,188,215,273,370,393,405,419,485,534,577,967,1055,1057,1072,1554],[
1,2,3,7,8,11,21,23,36,40,44,59,72,74,101,129,136,144,177,187,188,206,303,343,
397,485,534,561,849,1068,1071,1072,1555],[1,3,5,9,17,18,22,26,27,42,84,110,
115,120,157,163,181,217,411,452,576,1012,1049,1556],[1,2,5,7,8,13,14,16,21,23,
36,44,74,86,87,92,93,118,141,143,150,176,187,189,275,295,377,393,399,446,472,
534,573,963,1055,1061,1065,1557],[1,2,6,7,8,12,13,20,21,23,36,39,74,80,81,86,
98,118,121,133,139,176,178,180,271,318,393,412,473,477,487,534,546,985,1055,
1066,1067,1558],[1,2,3,7,8,10,11,12,21,23,36,44,48,52,58,78,94,100,136,146,
175,187,188,204,331,351,403,414,424,460,531,566,940,1045,1060,1063,1559],[1,2,
3,7,8,11,12,21,23,36,40,44,52,56,78,98,100,136,146,177,187,188,199,335,354,
414,424,531,561,809,1050,1060,1063,1560],[1,3,4,6,9,17,18,22,24,25,33,47,75,
84,122,147,166,167,168,181,217,407,447,564,705,1049,1561],[1,2,5,6,7,8,13,16,
20,21,23,31,36,38,44,74,85,92,103,118,133,134,141,143,179,185,187,268,321,404,
446,448,472,481,534,574,941,1058,1061,1064,1562],[1,2,3,6,8,11,12,20,33,36,38,
39,40,52,56,57,60,64,137,142,177,178,179,197,199,324,328,330,340,531,569,829,
1047,1048,1050,1563],[1,2,5,6,8,13,16,20,21,36,39,59,74,80,103,130,132,139,
141,144,178,185,188,268,279,388,400,456,473,485,534,567,947,1058,1067,1072,
1564],[1,2,5,7,8,13,14,16,21,23,36,44,74,79,89,101,103,139,141,144,150,174,
185,187,268,291,376,397,409,456,462,534,572,968,1058,1071,1073,1565],[1,2,4,5,
7,8,10,13,14,15,16,21,23,34,36,53,62,74,87,93,94,95,96,105,121,141,159,175,
185,189,272,273,275,345,381,420,488,534,570,708,1056,1057,1065,1566],[1,2,3,5,
8,11,13,14,16,21,27,36,40,55,68,72,74,87,103,141,177,185,189,206,233,235,268,
275,534,568,594,1058,1065,1068,1567],[1,2,6,7,8,12,14,20,23,32,36,39,44,52,60,
64,78,82,106,137,145,146,178,187,189,274,325,330,371,414,444,469,531,565,969,
1047,1060,1069,1568],[1,2,3,6,8,11,13,20,21,36,38,40,72,74,85,86,99,118,130,
176,177,179,206,329,334,393,448,534,540,713,1055,1064,1068,1569],[1,2,4,6,7,8,
13,15,20,21,23,30,36,38,44,74,85,95,101,105,118,119,133,144,179,185,187,273,
320,370,397,423,428,448,534,574,922,1057,1064,1071,1570],[1,2,7,8,12,21,23,29,
36,44,74,76,78,92,98,101,121,143,144,180,187,271,282,397,413,415,472,475,534,
555,960,1061,1066,1071,1571],[1,2,6,7,8,12,13,14,20,23,36,44,49,52,60,78,81,
137,145,146,150,174,185,187,214,269,357,410,414,431,444,531,572,945,1044,1054,
1060,1572],[1,3,4,9,17,18,22,24,26,41,84,107,111,127,160,163,181,217,422,455,
562,962,1049,1573],[1,2,6,7,8,12,13,14,20,23,36,44,50,52,57,78,82,133,137,146,
150,176,187,189,221,274,356,373,402,414,466,531,573,929,1043,1060,1069,1574],[
1,2,6,8,12,14,20,21,36,49,52,60,82,89,100,117,137,146,174,188,189,214,274,306,
410,424,451,469,531,575,938,1044,1063,1069,1575],[1,2,4,6,8,13,15,20,21,36,39,
61,74,80,95,105,130,131,139,143,178,185,188,273,304,401,427,439,473,480,534,
567,950,1057,1067,1070,1576],[1,2,3,6,8,10,11,12,13,14,20,33,36,48,52,53,58,
71,81,82,83,99,137,142,175,185,189,204,269,274,293,348,457,471,531,570,702,
1045,1054,1069,1577],[1,2,3,6,8,11,14,20,21,36,39,40,72,74,80,83,89,117,139,
174,177,178,206,289,346,462,473,534,538,899,1067,1068,1073,1578],[1,2,3,7,8,
11,21,23,36,40,44,61,72,74,92,129,136,143,177,187,188,206,315,360,472,480,534,
561,803,1061,1068,1070,1579],[1,2,6,8,12,13,20,21,36,39,52,60,64,81,85,100,
130,137,146,178,185,188,269,330,352,371,424,431,451,531,567,994,1047,1054,
1063,1580],[1,2,6,7,8,12,13,20,23,32,36,38,44,52,57,64,78,81,106,133,137,146,
179,185,187,269,298,328,402,414,468,470,531,574,924,1048,1054,1060,1581],[1,2,
3,6,8,11,12,13,14,20,25,36,40,52,55,56,66,81,82,137,177,185,189,199,246,254,
269,274,531,568,590,1050,1054,1069,1582],[1,2,6,8,12,14,20,21,36,38,52,57,64,
80,82,100,117,137,146,179,188,189,274,307,328,392,424,466,470,531,571,980,
1048,1063,1069,1583],[1,2,6,8,12,13,20,21,36,50,52,57,81,86,100,130,137,146,
176,185,188,221,269,365,373,392,424,468,531,577,984,1043,1054,1063,1584],[1,2,
4,5,7,9,10,13,14,15,16,21,23,37,46,47,53,59,62,86,87,89,92,93,94,95,96,150,
184,191,192,213,215,216,292,295,338,345,547,585,615,1080,1104,1106,1585],[1,2,
4,5,7,9,10,13,14,15,16,21,23,37,46,47,53,61,62,79,86,89,94,97,101,102,103,150,
184,191,192,219,224,225,290,291,292,314,549,585,616,1082,1103,1107,1586],[1,2,
4,5,7,9,13,15,16,21,23,34,37,42,43,45,47,59,86,93,95,121,139,141,143,159,183,
190,191,194,198,215,381,399,400,432,439,487,547,584,937,1079,1098,1104,1587],[
1,2,3,6,7,8,11,12,13,14,20,23,33,36,38,39,40,44,50,58,60,78,82,83,133,137,142,
146,150,174,177,178,179,180,185,187,197,222,356,373,403,444,469,471,538,543,
545,548,550,552,555,557,569,572,574,914,1094,1099,1108,1111,1118,1120,1125,
1588],[1,2,7,9,10,21,23,37,43,45,59,74,92,94,121,143,144,184,190,193,216,272,
367,415,432,472,485,547,580,964,1079,1080,1085,1589],[1,2,4,5,7,9,10,15,16,21,
23,34,37,41,42,59,62,92,94,105,118,139,141,159,182,183,184,216,386,400,405,
434,446,488,547,559,970,1080,1091,1098,1590],[1,2,3,8,11,13,14,18,19,26,36,40,
54,55,65,67,91,177,185,189,205,283,347,535,568,610,1059,1591],[1,2,3,6,8,10,
11,12,13,14,20,36,38,39,40,48,53,57,60,71,81,82,83,99,146,174,175,176,177,178,
179,180,218,293,331,431,466,468,469,533,538,540,541,542,545,546,548,550,553,
556,948,1077,1084,1086,1092,1112,1120,1122,1592],[1,2,4,9,13,15,21,37,41,47,
59,74,86,95,105,118,144,182,191,193,215,273,370,393,405,419,485,547,578,967,
1085,1091,1104,1593],[1,2,3,4,5,7,9,11,15,16,17,18,19,23,24,26,27,28,34,37,41,
43,45,46,51,67,68,69,70,73,91,109,114,115,116,123,128,152,153,158,159,160,181,
182,190,192,195,196,200,276,285,286,311,333,342,496,512,537,539,544,562,563,
582,903,1076,1078,1087,1137,1140,1594],[1,2,3,5,9,11,16,17,21,22,26,27,37,42,
46,51,63,68,72,73,91,110,141,157,181,183,192,193,200,235,239,313,317,323,326,
544,563,576,579,890,1076,1081,1089,1595],[1,2,4,5,7,9,10,15,16,21,23,34,37,41,
42,61,62,94,101,105,118,139,141,159,182,183,184,219,376,386,401,408,423,488,
549,559,971,1082,1090,1095,1596],[1,2,3,7,8,10,11,12,21,23,36,40,44,48,52,58,
78,94,100,136,146,175,177,180,187,188,204,331,351,403,414,424,460,532,541,550,
552,555,556,558,561,566,940,1052,1084,1096,1111,1117,1123,1124,1597],[1,2,3,6,
8,11,18,19,20,33,36,38,39,40,54,65,67,142,163,165,166,177,178,179,197,205,383,
426,511,517,535,569,966,1059,1139,1598],[1,2,3,4,5,9,10,11,12,15,16,17,24,27,
37,46,47,48,51,56,62,68,69,73,75,90,181,184,191,192,200,201,203,240,250,544,
563,564,585,589,1076,1093,1097,1599],[1,2,4,9,14,15,21,37,41,47,61,74,89,97,
105,139,143,182,191,193,224,266,391,396,401,462,480,549,578,992,1075,1095,
1103,1600],[1,2,3,4,5,9,10,11,12,15,16,17,24,26,27,37,41,42,48,51,56,62,68,69,
90,91,157,160,181,182,183,184,203,248,250,281,302,313,333,544,559,562,576,758,
1087,1089,1093,1601],[1,2,3,6,8,11,12,13,20,21,33,36,38,39,40,50,58,60,81,86,
99,100,130,137,142,146,176,177,178,179,180,185,188,197,222,365,373,431,451,
457,460,540,546,548,551,552,556,557,558,567,569,577,1015,1092,1096,1099,1110,
1115,1119,1127,1602],[1,2,3,6,7,8,11,12,13,14,20,23,33,36,38,39,40,44,49,57,
58,78,81,99,137,142,145,146,150,176,177,178,179,180,187,189,197,220,357,402,
403,410,457,468,540,542,546,550,551,552,554,555,565,569,573,1011,1100,1109,
1110,1111,1113,1122,1126,1603],[1,2,3,6,8,10,11,12,13,14,20,33,36,38,39,40,48,
49,50,53,55,71,137,142,146,175,177,178,179,180,185,189,197,202,331,348,373,
410,541,543,550,551,553,554,556,557,568,569,570,854,1083,1084,1094,1101,1102,
1113,1119,1604],[1,2,4,5,7,9,14,15,16,21,23,34,37,41,43,45,46,59,87,89,96,105,
118,121,143,159,182,190,192,195,196,213,377,391,405,416,420,432,547,582,975,
1079,1091,1106,1605],[1,2,3,7,9,10,11,12,17,18,19,21,22,23,28,37,43,45,48,51,
56,63,67,70,72,94,98,123,128,181,184,190,193,203,230,232,277,311,312,317,537,
539,544,580,887,1078,1081,1093,1606],[1,2,6,7,8,12,13,14,20,23,36,38,44,50,52,
57,78,82,133,137,146,150,174,179,180,185,187,221,274,356,373,402,414,466,532,
542,545,551,555,556,557,572,574,929,1053,1105,1112,1119,1124,1125,1126,1607],[
1,2,3,6,8,11,12,14,20,21,33,36,38,39,40,49,57,58,82,83,89,100,117,137,142,146,
174,177,178,179,180,188,189,197,220,306,392,410,460,466,471,538,542,543,545,
552,554,556,558,569,571,575,943,1083,1096,1100,1108,1112,1114,1121,1608],[1,2,
4,5,7,9,14,15,16,21,23,34,37,42,43,45,47,61,79,89,97,118,121,141,144,159,183,
190,191,194,198,224,389,408,409,416,435,458,549,584,1023,1088,1090,1103,
1609],[1,2,6,8,12,14,20,21,36,38,49,52,60,82,89,100,117,137,146,174,179,180,
188,189,214,274,306,410,424,451,469,532,545,548,550,551,554,558,571,575,938,
1053,1113,1114,1115,1116,1120,1123,1610],[1,2,7,9,10,21,23,37,43,45,61,74,94,
101,121,143,144,184,190,193,219,272,367,397,413,458,480,549,580,965,1075,1082,
1088,1611],[1,2,3,6,7,8,10,11,12,13,14,20,21,23,36,38,39,40,44,48,49,50,53,55,
71,78,81,82,83,86,89,94,99,100,117,130,133,136,145,150,174,175,176,177,178,
179,180,185,187,188,189,202,292,293,306,351,356,357,365,406,450,478,533,538,
540,541,545,546,553,554,555,557,558,561,565,566,567,568,570,571,572,573,574,
575,577,767,1086,1101,1109,1114,1117,1125,1127,1129,1132,1134,1138,1612],[1,2,
5,9,13,16,21,37,42,46,61,74,86,103,118,141,143,183,192,193,225,268,393,399,
408,480,481,549,579,1004,1075,1090,1107,1613],[1,2,3,4,5,7,9,11,15,16,17,18,
19,23,24,26,27,28,34,37,42,43,45,47,51,67,68,69,70,75,91,107,109,116,123,124,
128,152,153,157,159,164,181,183,190,191,194,198,201,286,300,311,313,342,350,
494,495,537,539,544,564,576,584,888,1078,1089,1097,1128,1131,1614],[1,2,3,4,9,
11,15,17,21,22,24,26,37,41,47,51,63,69,72,75,91,105,127,160,181,182,191,193,
201,251,264,317,333,339,364,544,562,564,578,802,1081,1087,1097,1615],[1,2,4,5,
7,9,13,15,16,21,23,34,37,41,43,45,46,61,86,102,103,105,121,139,144,159,182,
190,192,195,196,225,379,401,419,456,458,487,549,582,1005,1088,1095,1107,
1616],[1,2,6,7,8,12,13,14,20,23,36,39,44,49,52,60,78,81,137,145,146,150,176,
178,180,187,189,214,269,357,410,414,431,444,532,543,546,548,554,555,556,565,
573,945,1051,1083,1092,1109,1116,1118,1124,1617],[1,2,6,8,12,13,20,21,36,39,
50,52,57,81,86,100,130,137,146,176,178,180,185,188,221,269,365,373,392,424,
468,532,542,543,546,550,557,558,567,577,984,1051,1094,1105,1121,1122,1123,
1127,1618],[1,2,5,9,14,16,21,37,42,46,59,74,87,89,139,141,144,183,192,193,213,
275,372,400,409,462,485,547,579,986,1085,1098,1106,1619],[1,2,3,6,7,8,10,11,
12,20,21,23,33,36,38,39,40,44,48,57,60,71,78,94,100,136,137,142,175,177,178,
179,180,187,188,197,218,348,351,392,402,444,451,541,542,543,548,551,553,555,
558,561,566,569,927,1077,1102,1115,1117,1118,1121,1126,1620],[1,2,3,8,10,11,
12,13,14,36,40,48,49,50,52,53,55,57,58,60,175,177,180,185,189,202,204,214,218,
220,221,222,532,541,542,548,552,554,557,568,570,617,1052,1077,1099,1100,1101,
1105,1116,1621],[1,2,3,7,9,10,11,12,21,23,37,43,45,48,52,58,78,94,100,136,146,
184,190,193,204,331,351,403,414,424,460,536,580,940,1074,1136,1141,1622],[1,2,
4,5,6,7,9,10,15,16,20,21,23,29,30,31,32,37,46,47,62,71,76,80,85,94,106,119,
129,131,132,134,169,170,184,186,191,192,265,267,270,294,395,437,445,560,581,
583,585,703,1130,1133,1135,1623],[1,2,8,21,35,36,74,172,188,528,534,1624],[1,
2,9,21,35,37,59,172,193,528,547,1625],[1,2,9,21,35,37,61,172,193,528,549,
1626],[1,2,7,9,23,29,35,37,43,45,76,172,173,186,190,529,560,1143,1627],[1,2,3,
4,5,6,7,10,11,12,13,14,15,16,17,20,21,23,24,25,27,28,29,30,31,32,48,49,50,51,
53,55,56,59,61,62,64,66,68,69,70,71,72,73,75,76,78,79,80,81,82,83,85,86,87,89,
90,92,93,94,95,96,97,98,99,100,101,102,103,106,117,119,129,130,131,132,133,
134,136,145,150,155,162,169,170,200,201,202,203,207,210,211,213,215,216,219,
224,225,226,227,232,233,234,237,238,240,241,242,246,249,250,252,262,263,265,
267,270,279,282,288,290,291,292,293,294,295,297,298,301,303,304,306,307,314,
315,318,319,320,321,325,332,334,336,338,345,346,349,351,352,354,356,357,363,
365,369,378,387,390,395,406,430,433,436,437,438,440,441,442,443,445,449,450,
453,454,463,464,465,467,474,476,478,479,482,483,484,486,490,589,596,597,598,
601,609,615,616,628,635,638,644,646,653,663,678,688,703,712,717,725,726,742,
743,744,750,751,755,760,767,771,792,793,799,801,817,823,826,827,848,873,916,
918,925,932,933,934,949,951,955,973,977,983,1147,1165,1176,1179,1180,1212,
1275,1321,1330,1426,1628],[1,2,3,4,5,6,10,11,12,15,16,17,18,19,20,22,24,25,27,
33,48,51,56,62,63,64,66,67,68,69,71,73,75,84,88,90,113,122,126,135,137,142,
147,149,154,161,165,166,167,168,200,201,203,208,209,210,217,230,240,250,254,
255,260,278,296,308,316,340,348,353,368,374,383,384,394,398,407,418,429,447,
589,599,602,613,618,637,639,647,680,686,704,705,734,798,837,930,946,1148,1160,
1167,1181,1184,1629],[1,2,3,4,5,10,11,12,15,16,17,24,26,27,48,51,52,56,58,62,
68,69,73,75,90,91,157,160,199,200,201,203,204,212,223,236,240,243,248,250,281,
302,313,333,586,587,588,589,606,624,655,662,691,758,773,1144,1170,1173,1178,
1187,1630],[1,2,3,6,10,11,12,13,14,17,20,25,33,48,49,50,51,52,53,55,56,57,58,
60,64,66,71,81,82,83,99,135,137,142,147,199,202,203,204,210,212,214,218,220,
221,222,223,238,244,246,252,254,258,260,263,269,274,293,310,322,324,328,330,
340,348,457,471,586,587,588,590,597,602,608,611,612,614,617,621,636,654,673,
696,697,702,716,781,788,796,829,859,878,1144,1146,1149,1182,1183,1185,1186,
1255,1258,1631],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,52,54,56,58,63,
65,67,70,72,74,77,78,84,88,94,98,100,104,121,123,128,136,138,140,199,203,204,
205,206,207,208,209,211,212,223,227,228,229,230,231,232,245,255,256,261,271,
272,277,287,309,311,312,317,327,351,354,358,421,588,592,593,595,596,599,603,
605,607,619,657,658,661,672,674,684,685,687,700,784,811,860,862,887,894,1145,
1158,1161,1239,1248,1250,1314,1632],[1,2,3,4,5,6,11,12,13,14,15,16,18,19,20,
21,24,25,26,27,52,54,55,56,65,66,67,68,69,72,74,81,82,87,90,91,95,97,100,103,
105,107,108,109,112,113,114,115,116,122,124,126,131,132,137,141,149,199,205,
206,207,208,229,233,234,235,237,240,242,243,246,253,254,256,257,264,266,268,
269,273,274,275,281,283,285,300,302,312,316,323,341,342,344,347,353,361,364,
375,378,380,385,417,482,590,591,594,595,610,619,623,625,632,646,651,657,662,
664,665,681,686,689,690,693,738,741,748,749,753,754,769,791,812,821,832,833,
840,864,874,911,1145,1190,1211,1254,1257,1272,1283,1367,1437,1633],[1,2,3,4,5,
10,11,12,15,16,17,24,27,48,51,56,57,60,62,68,69,73,75,90,146,200,201,203,218,
240,244,250,258,324,331,335,337,589,683,696,731,732,756,881,1152,1210,1307,
1634],[1,2,3,11,12,18,19,21,52,54,56,58,65,67,72,74,100,146,199,205,206,207,
208,223,229,256,312,337,424,460,586,595,619,626,657,715,866,1145,1188,1194,
1635],[1,2,3,6,7,11,12,14,18,19,20,21,22,23,28,49,52,56,60,63,64,67,70,72,77,
78,80,82,83,89,100,104,117,118,121,138,140,199,207,208,209,211,214,228,231,
238,244,245,261,277,306,307,312,327,329,330,346,358,412,416,595,600,601,605,
621,642,660,672,684,784,797,841,860,1158,1162,1171,1201,1271,1636],[1,2,3,6,
10,11,12,13,14,17,20,25,26,33,48,49,50,51,52,53,55,56,58,64,66,71,81,82,83,91,
99,135,137,142,146,147,199,202,203,204,210,212,223,236,238,243,246,248,252,
254,260,263,269,274,293,331,335,337,340,348,457,471,588,590,597,602,606,608,
612,626,654,669,683,702,740,773,908,1000,1149,1163,1173,1246,1259,1637],[1,2,
3,4,5,10,11,12,15,16,17,24,26,27,48,51,52,56,57,58,60,62,68,69,73,75,90,91,
146,157,160,199,200,201,203,204,212,218,223,236,240,243,244,248,250,258,281,
302,313,324,331,333,335,337,588,589,606,611,614,624,626,655,662,669,683,691,
696,756,758,881,1146,1163,1170,1210,1300,1638],[1,2,3,7,10,11,12,17,18,19,21,
22,23,28,48,51,52,56,58,63,67,70,72,78,84,88,94,98,100,123,128,136,163,199,
203,204,207,208,209,211,212,223,227,230,232,255,277,311,312,317,351,354,426,
452,455,588,595,596,599,603,605,607,722,765,858,862,887,1161,1244,1301,1302,
1639],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,52,56,58,63,67,70,72,78,84,
88,94,98,100,118,123,128,136,139,199,203,204,207,208,209,211,212,223,227,230,
232,255,277,289,311,312,317,329,351,354,386,477,588,595,596,599,603,605,607,
660,671,724,828,862,887,1161,1164,1171,1205,1214,1640],[1,2,3,6,7,11,12,13,18,
19,20,21,22,23,28,50,52,56,57,63,64,67,70,72,77,78,81,85,86,99,100,104,121,
130,138,139,140,199,207,208,209,211,221,228,231,245,252,258,261,277,289,312,
327,328,334,352,358,365,425,487,595,598,604,605,627,636,671,672,684,784,834,
860,861,1158,1159,1164,1240,1285,1641],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,
48,51,52,56,58,63,67,70,72,78,84,88,94,98,100,123,125,128,136,148,199,203,204,
207,208,209,211,212,223,227,230,232,255,277,305,311,312,317,351,354,362,461,
489,588,595,596,599,603,605,607,762,780,862,882,887,1161,1197,1198,1303,
1642],[1,2,3,7,10,11,12,17,18,19,21,22,23,26,28,48,51,52,56,57,58,60,63,67,70,
72,78,84,88,91,94,98,100,123,128,136,199,203,204,207,208,209,211,212,218,223,
227,230,232,236,243,244,248,255,258,277,311,312,317,324,351,354,588,595,596,
599,603,605,606,607,611,614,696,773,786,857,862,887,1146,1161,1173,1247,1309,
1643],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,29,48,51,52,56,58,59,61,63,67,70,
72,76,78,84,88,92,94,98,100,101,123,128,129,136,146,199,203,204,207,208,209,
211,212,216,219,223,227,230,232,255,265,277,282,303,311,312,315,317,331,335,
337,351,354,363,403,414,424,442,460,483,588,595,596,599,603,605,607,609,628,
629,667,678,683,755,761,774,775,809,862,866,880,887,940,1147,1161,1175,1189,
1208,1232,1273,1297,1310,1644],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,
52,56,58,63,67,70,72,78,84,88,94,98,100,123,128,136,146,199,203,204,207,208,
209,211,212,217,223,227,230,232,255,277,296,311,312,317,331,335,337,351,354,
588,595,596,599,603,605,607,613,683,711,715,774,775,813,862,887,1148,1161,
1168,1243,1273,1645],[1,2,3,6,7,10,11,12,13,14,17,20,21,23,25,26,28,32,33,48,
49,50,51,53,55,56,64,66,70,71,72,78,80,81,82,83,85,86,89,91,94,98,99,100,106,
117,130,133,135,136,137,142,145,146,147,150,151,156,202,203,207,210,211,227,
232,236,238,243,246,248,252,254,260,263,284,292,293,294,298,306,307,318,325,
331,334,335,337,340,341,346,348,349,351,352,354,355,356,357,361,365,371,373,
390,406,410,438,443,450,463,470,478,596,597,598,601,602,606,629,640,653,665,
667,683,714,718,740,750,752,767,787,800,801,817,823,824,826,854,908,912,1165,
1166,1175,1259,1265,1277,1308,1425,1646],[1,2,3,4,5,6,10,11,12,15,16,17,18,19,
20,22,24,25,27,33,48,51,56,57,60,62,63,64,66,67,68,69,71,73,75,84,88,90,113,
122,126,135,137,142,146,147,149,161,168,200,201,203,208,209,210,218,230,240,
244,250,254,255,258,260,278,308,316,324,331,335,337,340,348,353,374,394,418,
447,589,599,602,618,639,647,656,670,683,686,696,711,736,756,835,837,881,1160,
1168,1169,1210,1306,1647],[1,2,3,6,10,11,12,13,14,17,18,19,20,22,25,26,48,49,
50,51,53,55,56,57,60,63,64,66,67,71,81,82,83,84,88,91,99,108,112,202,203,208,
209,210,217,218,230,236,238,243,244,246,248,252,255,258,263,283,293,296,299,
324,344,359,597,599,606,613,622,627,634,642,650,656,666,670,693,694,696,872,
1148,1169,1177,1221,1247,1648],[1,2,3,5,6,11,12,14,16,17,20,21,22,26,27,49,51,
56,57,58,63,64,68,72,73,80,82,83,89,91,100,110,111,117,141,144,157,200,207,
209,212,220,235,236,238,239,247,257,258,302,306,307,310,313,317,323,326,343,
346,388,409,601,604,607,625,641,649,655,666,697,889,890,896,900,1153,1154,
1172,1266,1268,1649],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,30,31,33,48,49,50,51,52,53,55,56,58,62,63,64,66,67,68,69,70,71,
72,73,75,78,79,81,82,83,84,87,88,90,91,93,94,95,96,97,98,99,100,102,103,108,
112,113,119,122,123,126,128,131,132,134,135,136,137,142,147,149,151,155,156,
157,160,161,162,168,199,200,201,202,203,204,207,208,209,210,211,212,223,226,
227,230,232,233,234,236,237,238,240,241,242,243,246,248,249,250,252,254,255,
260,262,263,269,274,277,278,281,283,284,290,293,297,299,302,308,311,312,313,
316,317,333,336,340,341,344,345,348,351,353,354,355,359,361,374,378,394,395,
418,430,440,441,447,454,457,467,471,476,479,482,514,516,519,521,588,589,590,
595,596,597,599,602,603,605,606,607,608,612,618,622,624,634,635,638,639,640,
644,646,647,654,655,662,663,665,686,688,691,693,694,702,720,723,727,729,741,
752,758,763,764,768,785,787,791,821,827,832,837,862,870,872,873,886,887,901,
910,977,1149,1160,1161,1166,1170,1176,1177,1229,1274,1283,1290,1326,1341,1458,
1463,1650],[1,2,3,6,7,10,11,12,13,14,17,18,19,20,21,22,23,25,28,32,48,49,50,
51,52,53,55,56,57,58,60,63,64,66,67,70,71,72,78,80,81,82,83,84,85,86,88,89,94,
98,99,100,106,117,123,128,130,133,136,145,150,199,202,203,204,207,208,209,210,
211,212,214,218,220,221,222,223,227,230,232,238,244,246,252,255,258,263,277,
292,293,294,298,306,307,310,311,312,317,318,322,324,325,328,330,334,346,349,
351,352,354,356,357,365,390,406,438,443,450,463,478,588,595,596,597,598,599,
600,601,603,604,605,607,617,621,627,636,642,650,653,666,673,679,696,697,750,
767,781,796,801,817,823,826,862,878,887,1153,1155,1157,1159,1161,1162,1165,
1221,1258,1305,1311,1651],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,52,56,
58,63,67,70,72,78,84,88,94,98,100,123,128,136,143,144,199,203,204,207,208,209,
211,212,223,227,230,232,255,277,311,312,317,343,351,354,360,367,475,588,595,
596,599,603,605,607,633,649,789,862,868,887,1156,1161,1172,1270,1298,1652],[1,
2,3,6,10,11,12,13,14,17,18,19,20,22,25,26,33,48,49,50,51,53,55,56,63,64,66,67,
71,81,82,83,84,88,91,99,108,112,135,137,142,146,147,154,165,166,167,202,203,
208,209,210,230,236,238,243,246,248,252,254,255,260,263,283,293,299,331,335,
337,340,344,348,359,368,371,373,383,384,398,407,410,429,470,597,599,602,606,
622,634,637,680,683,693,694,711,714,718,734,798,800,824,854,872,912,1000,1167,
1168,1177,1246,1308,1333,1465,1653],[1,2,3,6,11,12,13,18,19,20,21,50,52,54,56,
57,64,65,67,72,74,81,85,86,99,100,118,130,199,205,206,207,208,221,229,252,256,
258,312,328,329,334,352,365,393,448,595,598,604,619,627,636,657,660,713,904,
1145,1159,1171,1192,1225,1654],[1,2,3,6,11,12,14,18,19,20,21,49,52,54,56,60,
64,65,67,72,74,80,82,83,89,100,117,139,199,205,206,207,208,214,229,238,244,
256,289,306,307,312,330,346,462,473,595,600,601,619,621,642,657,671,852,899,
1145,1162,1164,1222,1224,1655],[1,2,3,7,10,11,12,17,18,19,21,22,23,26,28,48,
51,52,56,58,63,67,70,72,78,84,88,91,94,98,100,123,128,136,199,203,204,207,208,
209,211,212,223,227,230,232,236,243,248,255,277,311,312,317,351,354,588,595,
596,599,603,605,606,607,773,862,887,1161,1173,1256,1276,1656],[1,2,3,4,5,6,7,
10,11,12,13,14,15,16,17,20,21,23,24,25,27,28,30,31,48,49,50,51,53,55,56,57,60,
62,64,66,68,69,70,71,72,73,75,78,79,81,82,83,87,90,93,94,95,96,97,98,99,100,
102,103,119,131,132,134,136,146,155,162,200,201,202,203,207,210,211,218,226,
227,232,233,234,237,238,240,241,242,244,246,249,250,252,258,262,263,290,293,
297,324,331,335,336,337,345,351,354,378,395,430,431,440,441,454,466,467,468,
469,476,479,482,589,596,597,600,604,629,635,638,644,646,663,667,679,683,688,
696,709,756,827,853,873,881,895,898,948,977,1155,1175,1176,1210,1219,1294,
1295,1317,1657],[1,2,3,6,7,10,11,12,17,20,21,23,25,26,28,29,33,48,51,56,57,59,
60,61,64,66,70,71,72,76,78,91,92,94,98,100,101,129,135,136,137,142,147,151,
156,203,207,210,211,216,218,219,227,232,236,243,244,248,254,258,260,265,282,
284,303,315,324,340,341,348,351,354,355,361,363,392,402,442,444,451,483,596,
600,602,604,606,609,628,640,665,678,679,696,752,755,770,786,787,831,857,879,
897,927,1147,1155,1166,1228,1299,1309,1312,1450,1658],[1,2,3,4,5,7,10,11,12,
15,16,17,18,19,21,22,23,24,26,27,28,34,48,51,52,56,58,62,63,67,68,69,70,72,73,
75,78,84,88,90,91,94,98,100,105,107,109,110,111,114,115,116,120,123,124,127,
128,136,141,152,153,157,158,159,160,164,199,200,201,203,204,207,208,209,211,
212,223,227,230,232,235,236,239,240,243,247,248,250,251,253,255,257,259,264,
276,277,280,281,285,286,300,302,311,312,313,317,323,326,333,339,342,347,350,
351,354,364,366,382,411,422,459,488,494,495,496,512,588,589,595,596,599,603,
605,606,607,620,624,625,641,643,645,648,652,655,662,664,675,677,682,691,695,
710,730,738,739,749,753,757,758,802,808,810,812,814,818,825,840,855,862,884,
887,888,889,890,903,905,1154,1161,1170,1174,1195,1199,1218,1231,1254,1379,
1382,1451,1472,1659],[1,2,3,4,6,11,12,14,15,17,20,21,22,24,26,49,51,56,57,58,
63,64,69,72,75,80,82,83,89,91,100,105,117,120,127,143,160,201,207,209,212,220,
236,238,251,253,258,259,264,281,306,307,310,317,333,339,346,360,364,391,427,
601,604,607,633,652,664,666,691,697,802,855,906,909,1153,1156,1174,1280,1289,
1660],[1,2,3,6,7,10,11,12,17,18,19,20,21,22,23,25,28,33,48,51,52,56,57,58,60,
63,64,66,67,70,71,72,78,84,88,94,98,100,123,128,135,136,137,142,147,154,165,
166,167,199,203,204,207,208,209,210,211,212,218,223,227,230,232,244,254,255,
258,260,277,310,311,312,317,322,324,328,330,340,348,351,354,368,383,384,392,
398,402,407,429,444,451,588,595,596,599,602,603,605,607,637,656,670,680,696,
716,734,770,788,798,829,831,859,862,878,879,887,897,927,1161,1167,1169,1193,
1200,1204,1228,1255,1282,1661],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,
52,56,58,63,67,70,72,78,84,88,94,98,100,123,128,136,146,199,203,204,207,208,
209,211,212,223,227,230,232,255,277,311,312,317,331,335,337,351,354,588,595,
596,599,603,605,607,626,669,683,862,887,1161,1163,1194,1237,1662],[1,2,3,4,6,
11,12,13,15,17,20,21,22,24,26,50,51,56,58,60,63,64,69,72,75,81,85,86,91,99,
100,105,120,127,130,144,160,201,207,209,212,222,236,244,251,252,253,259,264,
281,317,322,333,334,339,343,352,364,365,419,428,598,600,607,649,650,652,664,
673,691,776,802,855,856,1157,1172,1174,1288,1291,1663],[1,2,3,7,10,11,12,17,
18,19,21,22,23,28,48,51,52,56,58,63,67,70,72,78,84,88,94,98,100,123,128,136,
146,199,203,204,207,208,209,211,212,223,227,230,232,255,277,311,312,317,331,
335,337,351,354,403,414,424,460,586,587,588,595,596,599,603,605,607,626,669,
683,715,761,809,813,862,866,880,887,940,1144,1161,1163,1188,1189,1213,1235,
1243,1253,1664],[1,2,3,5,6,11,12,13,16,17,20,21,22,26,27,50,51,56,58,60,63,64,
68,72,73,81,85,86,91,99,100,110,111,130,141,143,157,200,207,209,212,222,235,
236,239,244,247,252,257,302,313,317,322,323,326,334,352,360,365,399,404,598,
600,607,625,633,641,650,655,673,735,843,889,890,1154,1156,1157,1216,1252,
1665],[1,2,3,4,6,7,11,12,15,20,21,22,23,24,25,26,28,30,56,59,60,61,63,66,69,
70,72,78,91,92,98,100,101,105,111,118,119,121,129,136,137,144,151,155,164,168,
207,226,228,243,244,247,253,254,261,264,277,278,280,281,299,303,315,329,339,
341,343,350,354,355,358,361,363,364,405,415,423,444,451,458,483,600,628,649,
660,664,665,672,737,778,785,806,814,820,830,838,857,871,877,879,1269,1271,
1281,1287,1291,1296,1312,1666],[1,2,3,5,6,7,11,12,16,20,21,22,23,25,26,27,28,
31,56,57,59,61,63,66,68,70,72,78,91,92,98,100,101,120,121,129,134,136,137,139,
141,144,156,158,161,162,207,228,235,243,254,257,258,259,261,262,276,277,280,
284,289,299,302,303,308,315,323,326,341,343,354,358,361,363,376,392,400,402,
415,458,483,604,625,628,649,665,671,672,721,768,770,772,777,786,790,806,816,
825,838,891,1227,1267,1268,1269,1285,1299,1313,1667],[1,2,3,6,7,10,11,12,17,
20,21,23,25,26,28,33,48,51,52,56,57,58,60,64,66,70,71,72,78,91,94,98,100,135,
136,137,142,146,147,151,156,199,203,204,207,210,211,212,218,223,227,232,236,
243,244,248,254,258,260,284,310,322,324,328,330,331,335,337,340,341,348,351,
354,355,361,403,414,424,460,588,596,602,606,640,665,683,696,716,752,761,773,
786,787,788,809,829,857,859,866,878,880,940,1000,1166,1173,1189,1246,1255,
1300,1309,1668],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,20,21,23,24,25,26,27,
28,30,31,48,49,50,51,52,53,55,56,57,58,60,62,64,66,68,69,70,71,72,73,75,78,79,
81,82,83,87,90,91,93,94,95,96,97,98,99,100,102,103,119,131,132,134,136,146,
155,157,160,162,199,200,201,202,203,204,207,210,211,212,214,218,220,221,222,
223,226,227,232,233,234,236,237,238,240,241,242,243,244,246,248,249,250,252,
258,262,263,281,290,293,297,302,310,313,322,324,328,330,331,333,335,336,337,
345,351,354,378,395,403,414,424,430,440,441,454,460,467,476,479,482,588,589,
596,597,606,617,621,624,635,636,638,644,646,655,662,663,673,683,688,691,696,
697,740,756,758,761,781,786,796,809,827,857,866,873,878,880,881,908,940,977,
1170,1176,1189,1210,1258,1259,1309,1342,1353,1369,1388,1669],[1,2,3,4,5,6,7,
10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,48,51,54,56,62,
63,64,65,66,67,68,69,70,71,72,73,75,77,84,88,90,91,94,98,104,105,107,108,109,
110,111,112,113,114,115,116,119,120,122,123,124,126,127,128,131,132,134,135,
137,138,140,141,142,147,149,151,152,153,155,156,157,158,159,160,161,162,164,
168,200,201,203,205,208,209,210,226,229,230,231,232,235,237,239,240,242,245,
247,248,250,251,254,255,256,259,260,261,262,264,276,277,278,281,284,285,286,
287,299,300,302,308,309,311,312,313,316,317,323,326,327,333,339,340,341,342,
344,347,348,350,353,355,358,361,364,366,374,375,380,382,385,394,395,411,417,
418,421,422,430,447,459,488,491,494,495,496,499,500,501,502,504,505,507,508,
509,512,514,515,516,518,519,521,589,592,599,602,618,619,620,622,623,632,639,
641,643,647,648,652,658,659,663,674,675,684,685,686,695,699,700,721,727,728,
729,730,733,738,739,745,746,747,748,749,753,758,759,768,769,784,785,787,791,
794,802,805,815,816,818,819,821,822,833,836,837,844,864,870,871,874,877,884,
886,887,888,890,894,903,905,996,997,1017,1020,1027,1029,1160,1195,1196,1217,
1223,1230,1233,1248,1284,1337,1367,1403,1453,1456,1457,1458,1468,1472,1475,
1670],[1,2,3,4,5,6,7,11,12,13,14,15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,
34,52,55,56,63,66,67,68,69,70,72,77,78,79,81,82,87,90,91,93,95,96,97,100,102,
103,104,105,107,108,109,110,111,112,113,114,115,116,119,120,121,122,124,126,
127,131,132,134,137,138,140,141,149,151,152,153,155,156,158,159,161,162,164,
168,199,207,208,209,211,226,228,231,233,234,235,237,239,240,241,242,243,245,
246,247,249,251,253,254,257,259,261,262,264,269,274,276,277,278,280,281,283,
284,285,286,299,300,302,308,312,316,323,326,327,339,341,342,344,347,350,353,
355,358,359,361,364,378,379,381,389,420,454,467,482,491,499,500,501,502,504,
505,507,508,509,515,518,590,595,605,625,630,631,634,635,640,641,646,647,652,
659,662,664,665,668,672,676,684,686,692,693,698,699,719,720,721,728,730,733,
737,738,741,745,746,747,749,753,759,764,766,768,772,783,784,785,790,791,794,
805,807,808,812,814,815,816,818,819,821,822,825,830,832,836,840,844,860,871,
877,883,885,907,1158,1202,1229,1231,1236,1254,1283,1296,1313,1335,1344,1358,
1407,1438,1454,1456,1468,1470,1475,1671],[1,2,3,5,6,7,11,12,14,16,20,21,22,23,
25,26,27,28,31,49,56,63,64,66,68,70,72,80,82,83,89,91,100,117,118,120,121,134,
137,141,144,146,156,158,161,162,207,228,235,238,243,254,257,259,261,262,276,
277,280,284,299,302,306,307,308,323,326,329,335,341,343,346,358,361,371,388,
409,410,412,416,601,625,629,649,660,665,672,721,768,772,790,797,816,825,841,
896,900,908,912,1201,1242,1265,1266,1281,1286,1313,1672],[1,2,3,4,5,6,7,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,33,34,51,55,56,58,63,66,67,
68,69,70,72,74,75,81,82,83,84,87,88,90,91,95,96,97,99,100,102,103,105,107,108,
109,111,112,113,116,119,120,121,122,123,124,127,128,131,132,135,136,137,138,
140,142,147,151,152,153,155,156,157,159,160,161,164,168,201,206,207,209,212,
226,227,228,229,231,233,234,236,237,240,242,243,246,247,249,251,253,254,255,
256,257,259,260,261,263,264,266,273,277,278,280,281,283,284,286,299,300,308,
311,312,313,317,323,326,327,333,339,341,342,344,347,350,353,355,358,359,361,
364,378,379,394,420,422,447,457,459,471,476,479,482,494,495,502,505,509,514,
515,521,591,607,618,623,624,630,634,646,647,651,652,654,657,658,664,665,668,
672,675,681,682,687,688,689,691,692,698,699,710,721,723,727,730,737,739,746,
749,752,754,759,763,764,783,784,785,790,791,794,802,810,811,814,815,819,830,
832,833,836,840,844,855,862,870,871,872,874,877,883,885,886,888,889,894,910,
911,1174,1190,1211,1223,1236,1245,1274,1296,1314,1328,1337,1341,1433,1451,
1464,1469,1470,1471,1475,1673],[1,2,3,4,5,6,7,10,11,12,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,30,31,33,34,48,51,56,62,63,64,66,67,68,69,70,71,72,74,77,
78,90,91,94,98,100,104,105,107,108,111,112,113,114,115,119,120,121,122,123,
124,126,128,131,132,134,135,136,137,138,140,141,142,147,149,151,152,153,155,
156,157,158,159,160,161,162,164,168,203,206,207,210,211,226,227,228,229,230,
232,235,236,237,242,243,245,247,248,250,253,254,256,257,259,260,261,262,264,
271,272,276,277,278,280,281,284,285,286,299,300,302,308,311,312,313,316,317,
323,326,327,333,339,340,341,344,347,348,350,351,353,354,355,358,361,364,382,
395,430,488,491,499,500,502,504,508,509,514,516,518,519,521,593,596,602,606,
622,625,640,643,645,657,661,663,664,665,668,672,674,676,677,681,682,687,689,
695,700,710,721,727,729,733,737,745,746,747,752,757,758,759,766,768,769,772,
785,787,790,791,808,810,811,812,814,815,816,821,822,825,830,833,836,837,840,
855,860,864,870,871,874,877,884,886,887,889,905,911,1166,1199,1211,1220,1234,
1239,1272,1296,1313,1328,1358,1382,1403,1407,1410,1452,1457,1458,1464,1674],[
1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,
34,48,49,50,51,53,55,56,62,63,64,66,67,68,69,70,71,72,73,74,75,77,78,79,81,82,
83,87,90,91,93,94,95,96,97,98,99,100,102,103,104,105,107,109,110,113,114,115,
116,119,121,122,123,124,126,127,128,131,132,134,136,138,140,141,149,151,152,
153,155,156,157,158,159,160,161,162,164,168,200,201,202,203,206,207,210,211,
226,227,228,229,230,232,233,234,235,237,238,239,240,241,242,245,246,248,249,
250,251,252,253,256,257,261,262,263,264,266,268,271,272,273,275,276,277,278,
280,281,283,284,285,286,290,293,297,300,302,308,311,312,313,316,317,323,326,
327,333,336,339,341,342,345,350,351,353,354,355,358,359,361,364,378,379,381,
382,389,395,420,430,440,441,454,467,476,479,482,488,494,495,496,499,501,504,
505,507,508,512,515,518,589,591,593,594,596,597,620,623,625,630,631,632,635,
638,644,645,646,651,657,659,661,663,664,668,672,674,676,677,681,682,687,688,
689,690,692,694,695,698,699,700,701,706,707,708,710,719,720,723,730,733,737,
738,741,746,747,749,754,758,763,764,772,783,787,802,805,807,808,811,816,818,
827,832,836,837,844,860,864,871,873,874,884,885,887,888,890,901,903,905,907,
910,977,1151,1176,1190,1199,1202,1206,1209,1217,1226,1234,1236,1239,1245,1249,
1257,1304,1326,1438,1441,1454,1457,1471,1472,1675],[1,2,3,6,7,10,11,12,17,18,
19,20,21,22,23,25,28,33,48,51,54,56,63,64,65,66,67,70,71,72,77,84,88,94,98,
104,123,128,135,137,138,140,142,147,154,163,165,166,167,203,205,208,209,210,
229,230,231,232,245,254,255,256,260,261,277,287,309,311,312,317,327,340,348,
358,368,383,384,398,407,421,426,429,452,455,492,498,511,517,592,599,602,619,
637,658,674,680,684,685,700,722,734,765,784,798,858,887,894,966,987,988,999,
1007,1008,1014,1025,1167,1244,1248,1345,1362,1381,1398,1423,1442,1676],[1,2,3,
7,11,12,18,19,21,22,23,28,52,56,58,63,67,70,72,77,78,100,104,121,138,140,146,
199,207,208,209,211,223,228,231,245,261,277,312,327,337,358,403,414,424,460,
586,595,605,626,672,684,715,761,784,813,860,866,1158,1188,1194,1235,1237,
1677],[1,2,3,6,7,10,11,12,13,14,17,18,19,20,21,22,23,25,26,28,32,48,49,50,51,
53,55,56,57,60,63,64,66,67,70,71,72,78,80,81,82,83,84,85,86,88,89,91,94,98,99,
100,106,108,112,117,130,133,136,145,146,150,202,203,207,208,209,210,211,218,
227,230,232,236,238,243,244,246,248,252,255,258,263,283,292,293,294,298,299,
306,307,318,324,325,331,334,335,337,344,346,349,351,352,354,356,357,359,365,
390,406,431,438,443,450,463,466,468,469,478,596,597,598,599,601,606,622,627,
634,642,650,653,666,683,693,694,696,709,740,750,767,774,775,786,801,817,823,
826,853,857,872,895,898,908,948,1165,1177,1219,1221,1259,1273,1309,1373,1414,
1459,1460,1678],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,31,33,34,51,55,56,58,63,66,67,68,69,70,72,73,74,79,81,82,83,84,87,88,
90,91,93,95,97,99,100,103,108,109,110,111,112,114,115,116,120,121,123,126,128,
131,132,134,135,136,137,138,140,141,142,147,149,151,152,153,156,157,158,159,
160,161,162,168,200,206,207,209,212,227,228,229,231,233,234,235,236,237,239,
240,241,242,243,246,247,253,254,255,256,257,259,260,261,262,263,268,275,276,
277,278,280,283,284,285,286,299,302,308,311,312,313,316,317,323,326,327,333,
339,341,342,344,347,355,358,359,361,364,366,374,378,381,389,411,418,440,441,
457,471,482,491,496,500,501,507,512,516,519,594,607,624,625,631,632,634,638,
639,641,645,646,647,648,654,655,657,658,659,665,672,676,681,687,689,690,692,
698,710,720,721,723,727,728,729,738,739,741,745,746,752,754,757,768,769,772,
784,790,805,807,811,812,816,818,819,821,822,825,830,836,855,862,864,872,877,
883,886,889,890,894,901,903,907,910,911,1154,1202,1226,1233,1257,1272,1274,
1313,1314,1328,1344,1346,1379,1433,1441,1452,1453,1456,1463,1679],[1,2,3,6,7,
10,11,12,17,20,21,23,25,26,28,33,48,51,56,57,60,64,66,70,71,72,78,91,94,98,
100,135,136,137,142,146,147,203,207,210,211,218,227,232,236,243,244,248,254,
258,260,324,331,335,337,340,348,351,354,392,402,444,451,596,602,606,629,667,
683,696,731,732,736,770,786,831,835,857,879,897,927,1000,1175,1228,1246,1300,
1306,1307,1309,1680],[1,2,3,4,6,7,11,12,13,15,20,21,22,23,24,25,26,28,30,50,
56,63,64,66,69,70,72,81,85,86,91,99,100,105,111,119,121,130,137,139,144,146,
151,155,164,168,207,226,228,243,247,252,253,254,261,264,277,278,280,281,289,
299,334,335,339,341,343,350,352,355,358,361,364,365,373,419,425,428,470,487,
598,629,649,664,665,671,672,737,740,776,785,800,814,830,834,856,861,871,877,
1240,1251,1267,1277,1286,1288,1296,1681],[1,2,3,4,6,7,11,12,15,20,21,22,23,24,
25,26,28,30,56,57,59,61,63,66,69,70,72,78,91,92,98,100,101,105,111,119,121,
129,136,137,139,143,151,155,164,168,207,226,228,243,247,253,254,258,261,264,
277,278,280,281,289,299,303,315,339,341,350,354,355,358,360,361,363,364,392,
401,402,413,432,434,483,604,628,633,664,665,671,672,737,770,782,785,786,795,
804,814,830,845,871,877,1191,1215,1279,1280,1285,1296,1299,1682],[1,2,3,4,6,7,
11,12,14,15,20,21,22,23,24,25,26,28,30,49,56,63,64,66,69,70,72,80,82,83,89,91,
100,105,111,117,118,119,121,137,143,146,151,155,164,168,207,226,228,238,243,
247,253,254,261,264,277,278,280,281,299,306,307,329,335,339,341,346,350,355,
358,360,361,364,371,391,410,412,416,427,601,629,633,660,664,665,672,737,785,
797,814,830,841,871,877,906,908,909,912,1201,1238,1265,1289,1292,1296,1315,
1683],[1,2,3,4,5,7,10,11,12,15,16,17,21,23,24,26,27,28,29,34,48,51,56,59,61,
62,68,69,70,72,76,78,90,91,92,94,98,100,101,105,118,129,136,139,141,152,153,
157,158,159,160,164,203,207,211,216,219,227,232,235,248,250,253,257,264,265,
276,280,281,282,286,289,302,303,313,315,323,329,333,350,351,354,363,364,376,
382,386,400,401,405,408,423,434,442,446,477,483,488,596,609,625,628,645,660,
664,671,677,678,682,695,710,724,755,758,777,778,804,808,820,828,842,845,850,
884,891,942,970,971,1024,1147,1199,1205,1215,1227,1278,1287,1318,1364,1427,
1443,1684],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,56,63,67,70,72,74,77,
78,94,98,100,104,121,123,128,136,138,140,143,144,146,203,206,207,211,227,228,
229,230,232,245,256,261,271,272,277,311,312,317,327,331,335,337,343,351,354,
358,360,367,475,593,596,629,633,649,657,661,667,672,674,683,687,700,789,811,
860,868,887,1175,1203,1239,1263,1270,1286,1315,1685],[1,2,3,6,7,11,12,14,17,
18,19,20,21,22,23,28,49,51,56,57,58,63,64,67,70,72,74,80,82,83,84,88,89,100,
117,118,121,123,128,136,138,139,140,206,207,209,212,220,227,228,229,231,238,
255,256,258,261,277,289,306,307,310,311,312,317,327,329,346,358,412,416,462,
473,601,604,607,657,658,660,666,671,672,687,697,784,797,811,841,852,862,894,
899,1153,1201,1214,1222,1225,1285,1314,1686],[1,2,3,6,7,11,12,13,17,18,19,20,
21,22,23,28,50,51,56,58,60,63,64,67,70,72,74,81,84,85,86,88,99,100,118,121,
123,128,130,136,138,139,140,206,207,209,212,222,227,228,229,231,244,252,255,
256,261,277,289,311,312,317,322,327,329,334,352,358,365,393,425,448,487,598,
600,607,650,657,658,660,671,672,673,687,713,784,811,834,861,862,894,904,1157,
1192,1214,1224,1240,1271,1314,1687],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,
51,56,57,60,63,67,70,72,74,77,78,94,98,100,104,118,121,123,128,136,138,139,
140,203,206,207,211,218,227,228,229,230,232,244,245,256,258,261,271,272,277,
289,311,312,317,324,327,329,351,354,358,386,477,593,596,600,604,657,660,661,
671,672,674,679,687,696,700,724,811,828,860,887,1155,1205,1224,1225,1239,1271,
1285,1688],[1,2,3,6,11,12,14,18,19,20,21,49,52,56,60,64,67,72,80,82,83,89,100,
117,146,163,199,207,208,214,238,244,306,307,312,330,337,346,426,595,600,601,
621,626,642,858,1162,1194,1301,1689],[1,2,3,4,5,7,11,12,15,16,18,19,21,23,24,
26,27,52,56,59,61,67,68,69,72,78,90,91,92,98,100,101,105,107,109,114,115,116,
124,129,136,139,141,146,199,207,208,235,240,243,253,257,264,281,285,289,300,
302,303,312,315,323,335,342,347,354,363,364,376,400,401,414,424,434,483,595,
625,628,629,662,664,671,738,749,753,775,777,804,809,812,840,845,891,1164,1208,
1215,1227,1251,1254,1293,1690],[1,2,3,6,11,12,18,19,20,21,33,52,56,57,60,64,
67,72,100,118,137,142,146,165,166,199,207,208,312,324,328,329,330,337,340,383,
392,451,595,626,637,656,660,829,831,1171,1193,1194,1691],[1,2,3,4,5,6,7,11,12,
13,14,15,16,18,19,20,21,23,24,25,26,27,30,31,32,49,55,56,59,61,64,66,67,68,69,
72,74,78,79,80,81,82,83,85,87,89,90,91,92,95,96,97,98,100,101,103,106,109,114,
115,116,117,119,126,129,130,131,132,134,136,139,141,144,145,149,150,206,207,
213,224,229,233,234,235,237,238,240,242,246,256,257,268,275,279,283,285,288,
289,291,297,301,302,303,304,306,307,312,315,316,319,323,325,332,338,342,343,
346,349,352,354,357,361,363,364,369,372,376,378,387,388,397,400,409,430,436,
437,438,440,445,450,456,462,463,467,473,474,476,482,483,484,485,486,594,601,
625,628,632,646,649,657,671,689,690,725,726,738,741,744,754,771,777,779,799,
823,827,849,852,864,865,891,893,896,899,900,916,925,932,939,947,968,986,1207,
1222,1227,1257,1262,1266,1275,1371,1394,1420,1422,1692],[1,2,3,7,11,12,18,19,
21,22,23,28,52,56,59,61,63,67,70,72,77,78,92,98,100,101,104,121,129,136,138,
140,143,144,146,199,207,208,209,211,228,231,245,261,277,303,312,315,327,335,
343,354,358,360,363,413,414,415,424,432,458,483,595,605,628,629,633,649,672,
684,775,782,784,795,806,809,838,860,1158,1191,1208,1269,1286,1298,1315,1693],[
1,2,3,5,6,7,11,12,16,20,21,22,23,25,26,27,28,31,56,59,60,61,63,66,68,70,72,78,
91,92,98,100,101,118,120,121,129,134,136,137,141,143,156,158,161,162,207,228,
235,243,244,254,257,259,261,262,276,277,280,284,299,302,303,308,315,323,326,
329,341,354,358,360,361,363,408,413,432,444,446,451,483,600,625,628,633,660,
665,672,721,768,772,782,790,795,816,825,842,850,857,879,1191,1216,1238,1271,
1278,1312,1313,1694],[1,2,3,4,5,6,11,12,13,14,15,16,18,19,20,21,24,25,26,27,
55,56,57,66,67,68,69,72,74,81,82,87,90,91,95,97,100,103,109,114,115,116,118,
126,131,132,141,144,146,149,206,207,229,233,234,235,237,240,242,246,256,257,
258,268,275,283,285,302,312,316,323,329,335,342,343,361,364,370,378,435,466,
468,482,594,604,625,629,632,646,649,657,660,689,690,738,741,754,756,853,864,
869,875,1203,1225,1242,1257,1261,1268,1294,1695],[1,2,3,6,11,12,13,18,19,20,
21,33,50,52,56,57,58,60,64,67,72,81,85,86,99,100,130,137,142,146,165,166,199,
207,208,221,222,223,252,258,269,310,312,324,328,330,334,337,340,352,365,371,
373,383,392,424,431,451,457,460,468,586,595,598,604,608,614,626,627,636,637,
656,709,714,715,731,736,781,829,831,859,866,984,993,994,1015,1159,1183,1188,
1193,1316,1323,1339,1349,1435,1696],[1,2,3,6,7,10,11,12,17,20,21,23,25,28,33,
48,51,52,56,57,58,60,64,66,70,71,72,78,94,98,100,135,136,137,142,146,147,199,
203,204,207,210,211,212,218,223,227,232,244,254,258,260,310,322,324,328,330,
331,335,337,340,348,351,354,392,402,403,414,424,444,451,460,588,596,600,602,
604,611,614,679,683,696,716,731,732,736,761,770,788,809,829,831,835,859,866,
878,879,880,897,927,940,1146,1155,1189,1228,1255,1306,1307,1316,1329,1368,
1409,1697],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,52,56,58,63,67,70,72,
78,84,88,94,98,100,136,146,199,203,204,207,208,209,211,212,223,227,230,232,
255,331,335,337,351,354,403,414,424,460,588,596,599,626,629,667,669,683,711,
715,761,774,775,809,813,866,880,940,1152,1163,1168,1175,1189,1243,1273,1698],[
1,2,3,6,11,12,13,17,20,21,22,26,50,51,56,58,60,63,64,72,81,85,86,91,99,100,
125,130,148,207,209,212,222,236,244,252,317,322,334,352,365,461,598,600,607,
650,673,773,882,1157,1276,1303,1699],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,27,28,30,31,33,48,49,50,51,53,55,56,57,60,62,63,64,66,
67,68,69,70,71,72,73,75,78,79,81,82,83,84,87,88,90,93,94,95,96,97,98,99,100,
102,103,113,119,122,126,131,132,134,135,136,137,142,146,147,149,155,161,162,
168,200,201,202,203,207,208,209,210,211,218,226,227,230,232,233,234,237,238,
240,241,242,244,246,249,250,252,254,255,258,260,262,263,278,290,293,297,308,
316,324,331,335,336,337,340,345,348,351,353,354,371,373,374,378,392,394,395,
402,410,418,430,440,441,444,447,451,454,467,470,476,479,482,589,596,597,599,
602,618,627,635,638,639,642,644,646,647,650,663,666,683,686,688,696,714,718,
756,770,774,775,800,824,827,831,837,854,873,879,881,897,912,927,977,1160,1176,
1210,1221,1228,1273,1308,1340,1363,1366,1445,1700],[1,2,3,6,7,10,11,12,17,20,
21,23,25,26,28,33,48,51,56,64,66,70,71,72,78,91,94,98,100,118,135,136,137,139,
142,143,144,147,151,156,203,207,210,211,227,232,236,243,248,254,260,284,289,
329,340,341,343,348,351,354,355,360,361,367,386,475,477,596,602,606,633,640,
649,660,665,671,724,752,787,789,828,868,1166,1205,1238,1267,1270,1279,1281,
1701],[1,2,3,7,11,12,17,18,19,21,22,23,28,51,56,58,59,61,63,67,70,72,74,78,84,
88,92,98,100,101,121,123,128,129,136,138,140,144,146,206,207,209,212,227,228,
229,231,255,256,261,277,303,311,312,315,317,327,335,343,354,358,363,397,403,
415,458,460,483,485,607,628,629,649,657,658,672,687,774,779,784,806,811,838,
849,862,880,894,1172,1203,1207,1269,1286,1310,1314,1702],[1,2,3,4,6,7,11,12,
15,18,19,20,21,23,24,25,26,56,59,60,61,66,67,69,72,74,78,91,92,98,100,101,105,
107,108,112,113,122,124,129,131,136,137,139,144,206,207,229,237,243,244,253,
254,256,257,264,281,289,300,303,312,315,341,343,344,347,353,354,361,363,364,
397,401,434,444,451,483,485,600,628,649,657,664,665,671,689,779,791,804,833,
840,845,849,857,874,879,911,1207,1211,1215,1224,1267,1291,1312,1703],[1,2,3,4,
5,6,7,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,30,31,32,50,55,56,59,61,64,
66,67,68,69,72,74,78,80,81,82,85,86,87,90,91,92,93,95,97,98,99,100,101,102,
103,106,109,114,115,116,117,118,119,126,129,130,131,132,133,134,136,141,143,
149,150,206,207,215,225,229,233,234,235,237,240,242,246,252,256,257,268,275,
279,283,285,295,298,301,302,303,304,307,312,314,315,316,318,320,321,323,329,
332,334,336,342,352,354,356,360,361,363,364,365,377,378,390,393,399,404,406,
408,430,437,441,445,446,448,449,453,454,463,464,472,474,479,480,481,482,483,
484,490,594,598,625,628,632,633,646,657,660,689,690,713,735,738,741,750,751,
754,760,792,793,803,842,843,847,848,850,864,873,892,902,904,932,934,941,951,
963,978,1004,1192,1212,1241,1252,1257,1264,1278,1376,1395,1402,1419,1704],[1,
2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,48,49,50,
51,53,54,55,56,62,63,64,65,66,67,68,69,70,71,72,77,79,81,82,83,84,87,88,90,91,
93,94,95,96,97,98,99,102,103,104,107,108,109,110,111,112,113,114,115,116,120,
122,123,124,126,127,128,138,140,149,151,156,157,158,160,161,164,168,202,203,
205,208,209,210,229,230,231,232,233,234,236,238,239,241,243,245,246,247,248,
249,250,251,252,253,255,256,257,259,261,263,276,277,278,280,281,283,284,285,
287,290,293,297,299,300,302,308,309,311,312,313,316,317,323,326,327,333,336,
339,341,342,344,345,347,350,353,355,358,359,361,364,366,375,380,385,411,417,
421,422,459,491,500,502,509,592,597,599,606,610,619,620,622,634,641,643,644,
648,651,652,658,674,675,677,684,685,690,692,693,694,698,700,719,720,721,723,
728,739,741,745,748,753,754,757,758,759,763,764,766,769,783,784,787,790,794,
807,810,812,814,815,819,822,825,830,832,833,837,840,855,872,877,883,884,885,
887,889,894,901,905,907,910,911,1150,1177,1195,1220,1230,1248,1249,1304,1326,
1335,1344,1346,1357,1382,1403,1433,1437,1469,1470,1705],[1,2,3,5,6,11,12,13,
16,18,19,20,21,25,26,27,50,56,64,66,67,68,72,74,81,85,86,91,99,100,108,112,
114,115,118,126,130,132,137,141,143,146,149,206,207,229,235,242,243,252,253,
254,256,257,285,302,312,316,323,329,334,335,341,344,347,352,360,361,365,373,
393,399,404,448,470,598,625,629,633,657,660,665,681,713,735,740,769,800,812,
821,843,864,904,911,1192,1238,1242,1252,1263,1272,1277,1706],[1,2,3,4,6,11,12,
13,15,18,19,20,21,24,25,26,50,56,64,66,67,69,72,74,81,85,86,91,99,100,105,107,
108,112,113,118,122,124,130,131,137,144,146,206,207,229,237,243,252,253,254,
256,257,264,281,300,312,329,334,335,341,343,344,347,352,353,361,364,365,373,
393,419,428,448,470,598,629,649,657,660,664,665,689,713,740,776,791,800,833,
840,856,874,904,911,1192,1203,1211,1277,1281,1288,1292,1707],[1,2,3,4,5,6,7,
11,12,13,14,15,16,17,20,21,22,23,24,25,26,27,30,31,32,33,49,51,55,56,57,58,59,
61,63,64,66,68,69,72,78,79,80,81,82,83,85,87,89,90,91,92,95,96,97,98,99,100,
101,103,106,117,119,129,130,131,132,134,135,136,137,142,145,146,147,150,157,
160,161,168,207,209,212,213,220,224,233,234,237,238,240,242,243,246,254,258,
260,263,278,279,288,291,297,299,301,303,304,306,307,308,310,313,315,317,319,
325,332,333,335,338,341,346,349,352,354,357,359,361,363,369,371,378,387,392,
402,403,410,430,436,437,438,440,445,450,457,460,463,466,467,468,471,474,476,
482,483,484,486,601,604,607,624,628,629,634,646,647,654,665,666,697,723,725,
726,727,744,756,770,771,774,786,799,823,827,853,880,886,908,910,912,915,916,
925,932,943,993,1011,1153,1265,1274,1275,1294,1299,1310,1340,1388,1460,1474,
1708],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,20,21,22,23,24,25,26,27,30,31,32,33,
50,51,55,56,58,59,60,61,63,64,66,68,69,72,78,80,81,82,83,85,86,87,90,91,92,93,
95,97,98,99,100,101,102,103,106,117,119,129,130,131,132,133,134,135,136,137,
142,146,147,150,157,160,161,168,207,209,212,215,222,225,233,234,237,240,242,
243,244,246,252,254,260,263,278,279,295,298,299,301,303,304,307,308,313,314,
315,317,318,320,321,322,332,333,334,335,336,341,352,354,356,359,361,363,365,
373,378,390,403,406,430,431,437,441,444,445,449,451,453,454,457,460,463,464,
469,470,471,474,479,482,483,484,490,598,600,607,624,628,629,634,646,647,650,
654,665,673,723,727,740,750,751,760,774,792,793,800,848,857,873,879,880,881,
886,895,910,914,932,934,944,951,995,1015,1157,1212,1274,1277,1295,1310,1312,
1353,1372,1414,1445,1709],[1,2,3,4,5,7,10,11,12,15,16,17,21,23,24,26,27,28,34,
48,51,56,57,60,62,68,69,70,72,78,90,91,94,98,100,105,136,141,143,144,152,153,
157,158,159,160,164,203,207,211,218,227,232,235,244,248,250,253,257,258,264,
276,280,281,286,302,313,323,324,333,343,350,351,354,360,364,367,382,475,488,
596,600,604,625,633,645,649,664,677,679,682,695,696,710,758,789,808,868,884,
1155,1199,1216,1268,1270,1280,1291,1710],[1,2,3,4,5,7,10,11,12,15,16,17,21,23,
24,26,27,28,34,48,51,56,62,68,69,70,72,78,90,91,94,98,100,105,118,136,139,141,
146,152,153,157,158,159,160,164,203,207,211,227,232,235,248,250,253,257,264,
276,280,281,286,289,302,313,323,329,331,333,335,337,350,351,354,364,382,386,
477,488,596,625,629,645,660,664,667,671,677,682,683,695,710,724,758,808,828,
884,1175,1199,1205,1242,1251,1292,1293,1711],[1,2,3,7,10,11,12,17,18,19,21,22,
23,28,48,51,54,56,57,60,63,65,67,70,72,77,84,88,94,98,104,123,128,138,140,163,
203,205,208,209,218,229,230,231,232,244,245,255,256,258,261,277,287,309,311,
312,317,324,327,358,421,426,452,455,592,599,619,656,658,670,674,684,685,696,
700,722,765,784,858,887,894,1169,1244,1248,1386,1461,1712],[1,2,3,4,5,6,7,11,
12,13,14,15,16,20,21,22,23,24,25,26,27,28,30,31,32,34,50,55,56,59,61,63,64,66,
68,69,70,72,78,79,80,81,82,85,86,87,90,91,92,93,95,97,98,99,100,101,102,103,
106,110,117,119,121,129,130,131,132,133,134,136,139,141,143,150,151,152,153,
158,159,161,207,215,225,228,233,234,235,237,239,240,241,242,246,252,257,261,
276,277,279,286,289,295,298,301,302,303,304,307,308,314,315,318,320,321,323,
332,334,336,339,352,354,355,356,358,359,360,363,365,376,378,381,389,390,396,
399,400,404,406,413,425,430,432,437,439,441,445,449,453,454,463,464,474,479,
482,483,484,487,490,598,625,628,631,633,646,659,671,672,676,698,720,735,750,
751,760,777,782,792,793,795,818,834,836,843,848,861,863,867,873,891,907,923,
932,934,937,951,989,1001,1191,1202,1212,1227,1240,1252,1260,1325,1338,1387,
1406,1713],[1,2,3,6,7,10,11,12,17,18,19,20,21,22,23,25,26,28,33,48,51,56,57,
60,63,64,66,67,70,71,72,78,84,88,91,94,98,100,135,136,137,142,146,147,151,154,
156,165,166,167,203,207,208,209,210,211,218,227,230,232,236,243,244,248,254,
255,258,260,284,324,331,335,337,340,341,348,351,354,355,361,368,383,384,392,
398,402,407,429,444,451,596,599,602,606,637,640,665,680,683,696,734,736,752,
770,774,775,787,798,831,835,879,897,927,1000,1166,1167,1228,1246,1247,1273,
1306,1714],[1,2,3,6,7,10,11,12,13,14,17,18,19,20,21,22,23,25,28,32,48,49,50,
51,53,55,56,63,64,66,67,70,71,72,74,77,78,80,81,82,83,85,86,89,94,98,99,100,
104,106,117,118,121,123,128,130,133,136,138,139,140,145,150,202,203,206,207,
210,211,227,228,229,230,232,238,245,246,252,256,261,263,271,272,277,289,292,
293,294,298,306,307,311,312,317,318,325,327,329,334,346,349,351,352,354,356,
357,358,365,386,390,393,406,412,416,425,438,443,448,450,462,463,473,477,478,
487,593,596,597,598,601,653,657,660,661,671,672,674,687,700,713,724,750,767,
797,801,811,817,823,826,828,834,841,852,860,861,887,899,904,936,974,985,1013,
1165,1192,1201,1205,1222,1239,1240,1355,1360,1365,1374,1715],[1,2,3,11,12,18,
19,21,52,56,58,67,72,100,118,146,163,199,207,208,223,312,329,337,424,426,460,
586,595,626,660,715,858,866,1171,1188,1301,1716],[1,2,3,6,7,10,11,12,13,14,17,
20,21,23,25,28,32,33,48,49,50,51,52,53,55,56,57,58,60,64,66,70,71,72,78,80,81,
82,83,85,86,89,94,98,99,100,106,117,130,133,135,136,137,142,145,146,147,150,
199,202,203,204,207,210,211,212,214,218,220,221,222,223,227,232,238,244,246,
252,254,258,260,263,269,274,292,293,294,298,306,307,310,318,322,324,325,328,
330,331,334,335,337,340,346,348,349,351,352,354,356,357,365,371,373,390,392,
402,403,406,410,414,424,431,438,443,444,450,451,457,460,463,466,468,469,470,
471,478,588,590,596,597,598,601,602,608,612,617,621,636,653,654,673,683,696,
697,702,709,714,718,750,761,767,770,781,796,800,801,809,817,823,824,826,831,
853,854,866,878,879,880,895,897,898,912,914,915,924,927,929,938,940,943,944,
945,948,969,980,984,993,994,995,1011,1015,1149,1165,1189,1219,1228,1258,1308,
1332,1349,1372,1404,1411,1431,1446,1474,1491,1493,1717],[1,2,3,6,10,11,12,13,
14,17,18,19,20,22,25,33,48,49,50,51,52,53,55,56,57,58,60,63,64,66,67,71,81,82,
83,84,88,99,135,137,142,146,147,154,165,166,167,199,202,203,204,208,209,210,
212,218,223,230,238,244,246,252,254,255,258,260,263,269,274,293,310,322,324,
328,330,331,335,337,340,348,368,371,373,383,384,398,407,410,429,457,470,471,
588,590,597,599,602,608,612,627,637,642,650,654,666,680,683,696,702,714,715,
716,718,734,736,788,798,800,813,824,829,835,854,859,878,912,1149,1167,1221,
1243,1255,1306,1308,1323,1393,1432,1436,1718],[1,2,3,4,5,6,7,11,12,13,14,15,
16,20,21,22,23,24,25,26,27,28,30,31,32,34,49,55,56,59,61,63,64,66,68,69,70,72,
78,79,80,81,82,83,85,87,89,90,91,92,95,96,97,98,100,101,102,103,105,106,117,
118,119,121,127,129,130,131,132,134,136,143,145,150,152,153,156,159,164,168,
207,213,224,228,233,234,237,238,240,242,246,249,251,253,261,264,277,278,279,
281,284,286,288,291,297,301,303,304,306,307,315,319,325,326,329,332,338,346,
349,350,352,354,357,358,359,360,363,364,369,377,378,379,387,391,405,412,413,
416,420,423,427,430,432,436,437,438,440,445,450,463,467,474,476,481,482,483,
484,486,601,628,630,633,646,660,664,668,672,692,699,725,726,730,744,746,764,
771,778,782,795,797,799,820,823,827,841,885,892,902,906,909,916,925,932,975,
981,1002,1010,1191,1201,1236,1264,1275,1287,1289,1320,1336,1421,1449,1719],[1,
2,3,4,5,6,7,11,12,13,14,15,16,20,21,22,23,24,25,26,27,28,30,31,32,34,50,55,56,
59,61,63,64,66,68,69,70,72,78,80,81,82,85,86,87,90,91,92,93,95,96,97,98,99,
100,101,102,103,105,106,117,119,121,127,129,130,131,132,133,134,136,139,144,
150,152,153,156,159,164,168,207,215,225,228,233,234,237,240,242,246,249,251,
252,253,261,264,277,278,279,281,284,286,289,295,298,301,303,304,307,314,315,
318,320,321,326,332,334,336,343,350,352,354,356,358,359,363,364,365,372,378,
379,390,401,406,415,419,420,425,428,430,434,437,441,445,449,453,454,456,458,
463,464,474,479,482,483,484,487,490,598,628,630,646,649,664,668,671,672,692,
699,730,746,750,751,760,764,776,792,793,804,806,834,838,845,848,856,861,865,
873,885,893,932,934,935,951,1005,1006,1026,1212,1215,1236,1240,1262,1269,1288,
1319,1416,1418,1462,1720],[1,2,3,4,5,10,11,12,15,16,17,18,19,22,24,26,27,48,
51,56,62,63,67,68,69,84,88,90,91,107,109,110,111,114,115,116,120,124,127,157,
160,163,203,208,209,217,230,239,247,248,250,251,255,259,281,285,296,300,302,
313,326,333,339,342,347,366,411,422,426,452,455,459,599,613,620,641,643,648,
652,675,722,739,753,758,765,858,905,961,962,998,1012,1148,1195,1244,1370,1375,
1721],[1,2,3,4,5,10,11,12,15,16,17,18,19,22,24,26,27,48,51,56,57,60,62,63,67,
68,69,84,88,90,91,107,109,110,111,114,115,116,120,124,125,127,148,157,160,203,
208,209,218,230,239,244,247,248,250,251,255,258,259,281,285,300,302,305,313,
324,326,333,339,342,347,362,366,411,422,459,461,489,599,620,641,643,648,652,
656,670,675,696,739,753,758,762,780,882,905,1169,1195,1197,1397,1429,1722],[1,
2,3,4,5,6,7,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,30,31,32,49,55,56,59,
61,64,66,67,68,69,72,74,78,79,80,81,82,83,85,87,89,90,91,92,95,96,97,98,100,
101,103,105,106,107,109,113,116,117,119,122,124,129,130,131,132,134,136,139,
143,145,150,206,207,213,224,229,233,234,237,238,240,242,246,253,256,264,266,
273,279,281,283,288,289,291,297,300,301,303,304,306,307,312,315,319,323,325,
332,338,341,342,346,349,352,353,354,357,360,363,364,369,378,387,391,396,401,
427,430,434,436,437,438,439,440,445,450,462,463,467,472,473,474,476,480,482,
483,484,486,591,601,623,628,633,646,651,657,664,671,681,725,726,744,749,754,
771,799,803,804,823,827,832,845,847,852,863,867,874,899,906,909,916,925,932,
950,959,992,1003,1190,1215,1222,1241,1260,1275,1289,1383,1424,1439,1444,
1723],[1,2,3,4,5,6,7,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,30,31,32,50,
55,56,59,61,64,66,67,68,69,72,74,78,80,81,82,85,86,87,90,91,92,93,95,97,98,99,
100,101,102,103,105,106,107,109,113,116,117,118,119,122,124,129,130,131,132,
133,134,136,144,150,206,207,215,225,229,233,234,237,240,242,246,252,253,256,
264,266,273,279,281,283,295,298,300,301,303,304,307,312,314,315,318,320,321,
323,329,332,334,336,341,342,343,352,353,354,356,363,364,365,370,378,390,393,
397,405,406,419,423,428,430,435,437,441,445,448,449,453,454,463,464,474,479,
482,483,484,485,490,591,598,623,628,646,649,651,657,660,664,681,713,749,750,
751,754,760,776,778,779,792,793,820,832,848,849,856,869,873,874,875,904,922,
932,934,951,967,991,1022,1190,1192,1207,1212,1261,1287,1288,1343,1377,1413,
1415,1724],[1,2,3,4,5,6,11,12,13,14,15,16,18,19,20,21,24,25,26,27,55,56,57,66,
67,68,69,72,74,81,82,87,90,91,95,97,100,103,105,107,109,113,116,118,122,124,
131,132,143,146,206,207,229,233,234,237,240,242,246,253,256,258,264,266,273,
281,283,300,312,323,329,335,341,342,353,360,364,377,378,466,468,481,482,591,
604,623,629,633,646,651,657,660,664,681,749,754,756,832,853,874,892,902,1190,
1225,1263,1264,1280,1292,1294,1725],[1,2,3,4,5,6,11,12,13,14,15,16,18,19,20,
21,24,25,26,27,55,56,60,66,67,68,69,72,74,81,82,87,90,91,95,97,100,103,105,
107,109,113,116,122,124,131,132,139,144,146,206,207,229,233,234,237,240,242,
244,246,253,256,264,266,273,281,283,289,300,312,323,335,341,342,343,353,364,
372,378,431,456,469,482,591,600,623,629,646,649,651,657,664,671,681,749,754,
832,865,874,881,893,895,1190,1203,1224,1251,1262,1291,1295,1726],[1,2,3,4,5,7,
11,12,15,16,18,19,21,23,24,26,27,52,56,59,61,67,68,69,72,78,90,91,92,98,100,
101,105,107,109,114,115,116,118,124,129,136,141,146,199,207,208,235,240,243,
253,257,264,281,285,300,302,303,312,315,323,329,335,342,347,354,363,364,405,
408,414,423,424,446,483,595,625,628,629,660,662,664,738,749,753,775,778,809,
812,820,840,842,850,1171,1208,1242,1254,1278,1287,1292,1727],[1,2,3,7,11,12,
17,18,19,21,22,23,28,51,56,58,59,61,63,67,70,72,74,78,84,88,92,98,100,101,121,
123,128,129,136,138,140,143,146,206,207,209,212,227,228,229,231,255,256,261,
277,303,311,312,315,317,327,335,354,358,360,363,403,413,432,460,472,480,483,
607,628,629,633,657,658,672,687,774,782,784,795,803,811,847,862,880,894,1156,
1191,1241,1263,1310,1314,1315,1728],[1,2,3,4,5,6,11,12,14,15,16,18,19,20,21,
24,26,27,49,52,56,60,64,67,68,69,72,80,82,83,89,90,91,100,105,107,109,114,115,
116,117,124,141,143,144,199,207,208,214,235,238,240,243,244,253,257,264,281,
285,300,302,306,307,312,323,330,342,343,346,347,360,364,388,391,409,427,595,
600,601,621,625,633,642,649,662,664,738,749,753,812,840,896,900,906,909,1162,
1216,1254,1266,1289,1291,1298,1729],[1,2,3,6,10,11,12,13,14,17,18,19,20,22,25,
26,48,49,50,51,53,55,56,63,64,66,67,71,81,82,83,84,88,91,99,108,112,125,148,
163,202,203,208,209,210,230,236,238,243,246,248,252,255,263,283,293,299,305,
344,359,362,426,452,455,461,489,597,599,606,622,634,693,694,722,762,765,780,
858,872,882,1177,1197,1244,1361,1473,1730],[1,2,3,6,7,11,12,18,19,20,21,22,23,
28,33,52,56,57,60,63,64,67,70,72,77,78,100,104,121,137,138,140,142,163,165,
166,199,207,208,209,211,228,231,245,261,277,312,324,327,328,330,340,358,383,
392,426,451,492,498,595,605,637,656,672,684,784,829,831,858,860,988,1014,1158,
1193,1301,1386,1423,1731],[1,2,3,6,10,11,12,13,14,17,18,19,20,22,25,26,48,49,
50,51,53,55,56,57,60,63,64,66,67,71,81,82,83,84,88,91,99,146,202,203,208,209,
210,218,230,236,238,243,244,246,248,252,255,258,263,293,324,331,335,337,431,
466,468,469,597,599,606,627,642,650,666,683,696,709,711,731,732,740,853,895,
898,908,948,1168,1219,1221,1247,1259,1300,1307,1732],[1,2,3,4,5,6,11,12,13,14,
15,16,18,19,20,21,24,25,26,27,55,56,60,66,67,68,69,72,74,81,82,87,90,91,95,97,
100,103,109,114,115,116,126,131,132,139,141,143,146,149,206,207,229,233,234,
235,237,240,242,244,246,256,257,268,275,283,285,289,302,312,316,323,335,342,
360,361,364,378,396,431,439,469,482,594,600,625,629,632,633,646,657,671,689,
690,738,741,754,863,864,867,881,895,1216,1224,1257,1260,1263,1293,1295,1733],[
1,2,3,7,10,11,12,17,18,19,21,22,23,28,29,48,51,56,59,61,63,67,70,72,74,76,77,
78,92,94,98,100,101,104,121,123,128,129,136,138,140,143,144,203,206,207,211,
216,219,227,228,229,230,232,245,256,261,265,271,272,277,282,303,311,312,315,
317,327,343,351,354,358,360,363,367,397,413,415,432,442,458,472,475,480,483,
485,593,596,609,628,633,649,657,661,672,674,678,687,700,755,779,782,789,795,
803,806,811,838,847,849,860,868,887,960,964,965,1009,1147,1191,1207,1239,1241,
1269,1270,1351,1354,1392,1440,1734],[1,2,3,5,6,7,11,12,16,18,19,20,21,23,25,
26,27,56,59,60,61,66,67,68,72,74,78,91,92,98,100,101,108,112,114,115,126,129,
132,136,137,139,141,143,149,206,207,229,235,242,243,244,253,254,256,257,285,
289,302,303,312,315,316,323,341,344,347,354,360,361,363,376,400,444,451,472,
480,483,600,625,628,633,657,665,671,681,769,777,803,812,821,847,857,864,879,
891,911,1216,1224,1227,1241,1272,1279,1312,1735],[1,2,3,4,6,11,12,14,15,18,19,
20,21,24,25,26,49,56,64,66,67,69,72,74,80,82,83,89,91,100,105,107,108,112,113,
117,122,124,131,137,139,143,146,206,207,229,237,238,243,253,254,256,257,264,
281,289,300,306,307,312,335,341,344,346,347,353,360,361,364,371,391,410,427,
462,473,601,629,633,657,664,665,671,689,791,833,840,852,874,899,906,908,909,
911,912,1211,1222,1251,1263,1265,1279,1289,1736],[1,2,3,4,5,10,11,12,15,16,17,
24,26,27,48,51,52,56,58,62,68,69,73,75,90,91,146,157,160,199,200,201,203,204,
212,223,236,240,243,248,250,281,302,313,331,333,335,337,588,589,606,624,626,
655,662,669,683,691,758,773,1163,1170,1173,1350,1448,1737],[1,2,3,5,11,12,16,
17,21,22,26,27,51,52,56,58,63,68,72,73,91,100,110,111,141,146,157,200,207,209,
212,223,235,236,239,247,257,302,313,317,323,326,337,424,460,587,607,625,641,
655,669,773,813,866,889,890,1154,1178,1213,1276,1350,1738],[1,2,3,4,5,6,10,11,
12,15,16,17,18,19,20,22,24,25,26,27,33,48,51,52,56,57,58,60,62,63,64,66,67,68,
69,71,73,75,84,88,90,91,113,122,126,135,137,142,146,147,149,157,160,161,168,
199,200,201,203,204,208,209,210,212,218,223,230,236,240,243,244,248,250,254,
255,258,260,278,281,302,308,310,313,316,322,324,328,330,331,333,335,337,340,
348,353,374,394,418,447,588,589,599,602,606,618,624,639,647,655,662,683,686,
691,696,715,716,756,758,788,813,829,837,859,878,881,1000,1160,1170,1210,1243,
1246,1247,1255,1739],[1,2,3,5,7,11,12,16,17,21,22,23,26,27,51,56,58,59,61,63,
68,72,73,78,91,92,98,100,101,110,111,118,129,136,139,141,146,157,200,207,209,
212,235,236,239,247,257,289,302,303,313,315,317,323,326,329,335,354,363,376,
400,403,408,446,460,483,607,625,628,629,641,655,660,671,774,777,842,850,880,
889,890,891,1154,1214,1227,1242,1278,1293,1310,1740],[1,2,3,11,12,17,21,22,51,
52,56,58,63,72,100,125,143,146,148,207,209,212,223,317,337,360,424,460,461,
587,607,633,669,813,866,882,1156,1213,1303,1741],[1,2,3,4,5,6,7,10,11,12,13,
14,15,16,17,20,21,23,24,25,27,28,30,31,48,49,50,51,53,55,56,62,64,66,68,69,70,
71,72,73,75,78,79,81,82,83,87,90,93,94,95,96,97,98,99,100,102,103,118,119,131,
132,134,136,139,143,144,155,162,200,201,202,203,207,210,211,226,227,232,233,
234,237,238,240,241,242,246,249,250,252,262,263,289,290,293,297,329,336,343,
345,351,354,360,367,370,372,377,378,386,395,396,430,435,439,440,441,454,456,
467,475,476,477,479,481,482,589,596,597,633,635,638,644,646,649,660,663,671,
688,724,789,827,828,863,865,867,868,869,873,875,892,893,902,919,958,977,1016,
1018,1176,1205,1260,1261,1262,1264,1270,1352,1385,1401,1408,1742],[1,2,3,5,6,
11,12,16,17,20,21,22,26,27,33,51,56,57,58,60,63,64,68,72,73,91,100,110,111,
125,137,141,142,148,154,157,167,200,207,209,212,235,236,239,247,257,302,310,
313,317,322,323,324,326,340,392,429,451,461,497,503,506,522,607,625,641,655,
670,680,788,831,882,889,890,954,976,1154,1200,1303,1396,1397,1743],[1,2,3,4,7,
11,12,15,17,21,22,23,24,26,51,56,58,59,61,63,69,72,75,78,91,92,98,100,101,105,
118,120,127,129,136,139,146,160,201,207,209,212,236,251,253,259,264,281,289,
303,315,317,329,333,335,339,354,363,364,401,403,405,423,434,460,483,607,628,
629,652,660,664,671,691,774,778,802,804,820,845,855,880,1174,1214,1215,1251,
1287,1292,1310,1744],[1,2,3,5,6,7,11,12,16,18,19,20,21,23,25,26,27,56,57,59,
61,66,67,68,72,74,78,91,92,98,100,101,108,112,114,115,118,126,129,132,136,137,
141,144,149,206,207,229,235,242,243,253,254,256,257,258,285,302,303,312,315,
316,323,329,341,343,344,347,354,361,363,392,397,402,408,446,483,485,604,625,
628,649,657,660,665,681,769,770,779,786,812,821,842,849,850,864,911,1207,1225,
1268,1272,1278,1281,1299,1745],[1,2,3,4,5,6,11,12,13,14,15,16,17,20,21,22,24,
25,26,27,33,51,55,56,58,63,66,68,69,72,81,82,83,87,90,91,95,97,99,100,103,118,
131,132,135,137,139,142,143,147,157,160,161,168,207,209,212,233,234,237,240,
242,243,246,254,260,263,278,289,299,308,313,317,329,333,341,359,360,361,377,
378,396,439,457,471,481,482,607,624,633,634,646,647,654,660,665,671,723,727,
863,867,886,892,902,910,1156,1214,1238,1260,1264,1274,1279,1746],[1,2,3,5,6,
11,12,14,16,18,19,20,21,25,26,27,49,56,64,66,67,68,72,74,80,82,83,89,91,100,
108,112,114,115,117,126,132,137,139,141,144,146,149,206,207,229,235,238,242,
243,253,254,256,257,285,289,302,306,307,312,316,323,335,341,343,344,346,347,
361,371,388,409,410,462,473,601,625,629,649,657,665,671,681,769,812,821,852,
864,896,899,900,908,911,912,1203,1222,1265,1266,1267,1272,1293,1747],[1,2,3,4,
5,6,7,11,12,13,14,15,16,20,21,22,23,24,25,26,27,28,34,55,56,57,63,66,68,69,70,
72,81,82,87,90,91,95,96,97,100,102,103,105,121,127,131,132,139,143,146,152,
153,156,159,164,168,207,228,233,234,237,240,242,246,249,251,253,258,261,264,
277,278,281,284,286,289,326,335,350,358,359,360,364,378,379,396,420,439,466,
468,482,604,629,630,633,646,664,668,671,672,692,699,730,746,756,764,853,863,
867,885,1236,1251,1260,1280,1285,1294,1315,1748],[1,2,3,4,5,6,7,11,12,13,14,
15,16,20,21,22,23,24,25,26,27,28,34,55,56,60,63,66,68,69,70,72,81,82,87,90,91,
95,96,97,100,102,103,105,118,121,127,131,132,144,146,152,153,156,159,164,168,
207,228,233,234,237,240,242,244,246,249,251,253,261,264,277,278,281,284,286,
326,329,335,343,350,358,359,364,370,378,379,420,431,435,469,482,600,629,630,
646,649,660,664,668,672,692,699,730,746,764,869,875,881,885,895,1236,1261,
1271,1286,1291,1292,1295,1749],[1,2,3,4,5,6,10,11,12,15,16,17,18,19,20,22,24,
25,27,33,48,51,56,62,63,64,66,67,68,69,71,73,75,84,88,90,113,122,125,126,135,
137,142,147,148,149,161,163,168,200,201,203,208,209,210,230,240,250,254,255,
260,278,305,308,316,340,348,353,362,374,394,418,426,447,452,455,461,489,589,
599,602,618,639,647,686,722,762,765,780,837,858,882,917,920,928,979,1160,1197,
1244,1347,1447,1750],[1,2,3,4,5,6,11,12,13,14,15,16,17,20,21,22,24,25,26,27,
33,51,55,56,58,63,66,68,69,72,81,82,83,87,90,91,95,97,99,100,103,118,131,132,
135,137,139,142,144,147,157,160,161,168,207,209,212,233,234,237,240,242,243,
246,254,260,263,278,289,299,308,313,317,329,333,341,343,359,361,370,372,378,
435,456,457,471,482,607,624,634,646,647,649,654,660,665,671,723,727,865,869,
875,886,893,910,1172,1214,1261,1262,1267,1274,1281,1751],[1,2,3,6,11,12,17,20,
21,22,26,33,51,56,57,58,60,63,64,72,91,100,137,142,143,154,167,207,209,212,
236,310,317,322,324,340,360,392,429,451,607,633,670,680,773,788,831,1156,1200,
1276,1752],[1,2,3,4,5,6,11,12,13,14,15,16,18,19,20,21,24,25,26,27,52,55,56,66,
67,68,69,72,81,82,87,90,91,95,97,100,103,108,112,113,122,126,131,132,137,139,
143,144,149,199,207,208,233,234,237,240,242,243,246,254,269,274,281,283,289,
302,312,316,341,343,344,353,360,361,372,378,396,439,456,482,590,595,633,646,
649,662,665,671,686,693,741,791,821,832,863,865,867,893,1164,1260,1262,1267,
1279,1283,1298,1753],[1,2,3,6,11,12,18,19,20,21,33,52,56,57,60,64,67,72,100,
137,139,142,146,165,166,199,207,208,289,312,324,328,330,337,340,383,392,451,
595,626,637,656,671,829,831,1164,1193,1194,1754],[1,2,3,11,12,18,19,21,52,56,
58,67,72,100,139,146,163,199,207,208,223,289,312,337,424,426,460,586,595,626,
671,715,858,866,1164,1188,1301,1755],[1,2,3,4,5,6,7,11,12,13,14,15,16,20,21,
22,23,24,25,26,27,28,34,55,56,60,63,66,68,69,70,72,79,81,82,87,90,91,93,95,97,
100,103,110,118,121,131,132,141,143,146,151,152,153,158,159,161,207,228,233,
234,235,237,239,240,241,242,244,246,257,261,276,277,286,302,308,323,329,335,
339,355,358,359,360,377,378,381,389,431,469,481,482,600,625,629,631,633,646,
659,660,672,676,698,720,818,836,881,892,895,902,907,1202,1216,1242,1264,1271,
1295,1315,1756],[1,2,3,4,5,6,7,11,12,13,14,15,16,20,21,22,23,24,25,26,27,28,
34,55,56,57,63,66,68,69,70,72,79,81,82,87,90,91,93,95,97,100,103,110,121,131,
132,139,141,144,146,151,152,153,158,159,161,207,228,233,234,235,237,239,240,
241,242,246,257,258,261,276,277,286,289,302,308,323,335,339,343,355,358,359,
372,378,381,389,456,466,468,482,604,625,629,631,646,649,659,671,672,676,698,
720,756,818,836,853,865,893,907,1202,1262,1268,1285,1286,1293,1294,1757],[1,2,
3,4,5,10,11,12,15,16,17,18,19,22,24,26,27,48,51,56,62,63,67,68,69,84,88,90,91,
107,109,110,111,114,115,116,120,124,127,146,157,160,163,203,208,209,230,239,
247,248,250,251,255,259,281,285,300,302,313,326,331,333,335,337,339,342,347,
366,411,422,426,452,455,459,599,620,641,643,648,652,675,683,711,722,739,753,
758,765,858,905,1168,1195,1244,1428,1467,1758],[1,2,3,6,10,11,12,13,14,17,20,
25,33,48,49,50,51,52,53,55,56,57,58,60,64,66,71,81,82,83,99,135,137,142,146,
147,199,202,203,204,210,212,214,218,220,221,222,223,238,244,246,252,254,258,
260,263,293,310,322,324,328,330,331,335,337,340,348,371,373,410,431,466,468,
469,470,588,597,602,617,621,626,636,669,673,683,696,697,709,714,716,718,731,
732,736,781,788,796,800,824,829,835,853,854,859,878,895,898,912,948,1163,1219,
1255,1258,1306,1307,1308,1324,1331,1334,1435,1759],[1,2,3,4,5,6,10,11,12,15,
16,17,18,19,20,22,24,25,26,27,33,48,51,56,62,63,64,66,67,68,69,71,84,88,90,91,
107,109,110,111,114,115,116,120,124,125,127,135,137,142,147,148,154,157,160,
165,166,167,203,208,209,210,230,239,247,248,250,251,254,255,259,260,281,285,
300,302,305,313,326,333,339,340,342,347,348,362,366,368,383,384,398,407,411,
422,429,459,461,489,493,497,503,506,510,513,520,522,599,602,620,637,641,643,
648,652,675,680,734,739,753,758,762,780,798,882,905,931,952,953,954,972,976,
1019,1021,1028,1030,1167,1195,1197,1378,1380,1396,1400,1430,1455,1760],[1,2,3,
6,11,12,18,19,20,21,33,52,54,56,57,60,64,65,67,72,74,100,137,142,163,165,166,
199,205,206,207,208,229,256,312,324,328,330,340,383,392,426,451,511,517,595,
619,637,656,657,829,831,858,966,987,1145,1193,1301,1362,1461,1761],[1,2,3,6,
11,12,17,20,21,22,26,33,51,56,57,58,60,63,64,72,91,100,137,142,144,154,167,
207,209,212,236,310,317,322,324,340,343,392,429,451,607,649,670,680,773,788,
831,1172,1200,1276,1762],[1,2,3,4,11,12,15,17,21,22,24,26,51,52,56,58,63,69,
72,75,91,100,105,120,127,146,160,201,207,209,212,223,236,251,253,259,264,281,
317,333,337,339,364,424,460,587,607,652,664,669,691,773,802,813,855,866,1174,
1187,1213,1276,1448,1763],[1,2,3,6,11,12,14,17,20,21,22,33,49,51,52,56,57,58,
60,63,64,72,80,82,83,89,100,117,137,142,146,154,167,207,209,212,214,220,223,
238,258,274,306,307,310,317,322,324,328,337,340,346,392,410,424,429,451,460,
466,469,470,471,587,601,604,607,612,614,666,669,670,680,697,718,731,736,788,
796,813,831,859,866,898,938,943,944,980,1153,1185,1200,1213,1316,1331,1332,
1393,1466,1764],[1,2,3,6,11,12,13,17,20,21,22,33,50,51,52,56,57,58,60,63,64,
72,81,85,86,99,100,130,137,142,146,154,167,207,209,212,221,222,223,244,252,
269,310,317,322,324,330,334,337,340,352,365,371,373,392,424,429,431,451,457,
460,468,587,598,600,607,608,611,650,669,670,673,680,709,714,716,732,781,788,
813,831,835,866,984,993,994,1015,1157,1182,1200,1213,1329,1334,1349,1434,1436,
1765],[1,2,3,11,12,17,21,22,51,52,56,58,63,72,100,125,144,146,148,207,209,212,
223,317,337,343,424,460,461,587,607,649,669,813,866,882,1172,1213,1303,1766],[
1,2,3,6,10,11,12,13,14,17,18,19,20,22,25,48,49,50,51,52,53,55,56,57,58,60,63,
64,66,67,71,81,82,83,84,88,99,146,199,202,203,204,208,209,210,212,214,218,220,
221,222,223,230,238,244,246,252,255,258,263,293,310,322,324,328,330,331,335,
337,431,466,468,469,588,597,599,611,614,617,621,627,636,642,650,656,666,670,
673,683,696,697,709,715,731,732,781,796,813,853,878,895,898,948,1146,1169,
1219,1221,1243,1258,1307,1339,1391,1434,1466,1767],[1,2,3,6,10,11,12,13,14,17,
18,19,20,22,25,26,48,49,50,51,52,53,55,56,57,58,60,63,64,66,67,71,81,82,83,84,
88,91,99,108,112,146,199,202,203,204,208,209,210,212,214,218,220,221,222,223,
230,236,238,243,244,246,248,252,255,258,263,283,293,299,310,322,324,328,330,
331,335,337,344,359,588,597,599,606,617,621,622,634,636,673,683,693,694,696,
697,715,740,773,781,796,813,872,878,908,1173,1177,1243,1247,1258,1259,1300,
1768],[1,2,3,4,5,6,11,12,13,15,16,18,19,20,21,24,26,27,50,52,56,57,64,67,68,
69,72,81,85,86,90,91,99,100,105,107,109,114,115,116,124,130,141,143,144,199,
207,208,221,235,240,243,252,253,257,258,264,281,285,300,302,312,323,328,334,
342,343,347,352,360,364,365,399,404,419,428,595,598,604,625,627,633,636,649,
662,664,735,738,749,753,776,812,840,843,856,1159,1252,1254,1268,1280,1288,
1298,1769],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,54,56,63,65,67,70,72,
77,84,88,94,98,104,123,125,128,138,140,148,203,205,208,209,217,229,230,231,
232,245,255,256,261,277,287,296,305,309,311,312,317,327,358,362,421,461,489,
592,599,613,619,658,674,684,685,700,762,780,784,839,846,851,876,882,887,894,
1148,1197,1248,1399,1417,1770],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,
54,56,63,65,67,70,72,77,84,88,94,98,104,123,125,128,138,140,146,148,203,205,
208,209,229,230,231,232,245,255,256,261,277,287,305,309,311,312,317,327,331,
335,337,358,362,421,461,489,592,599,619,658,674,683,684,685,700,711,762,780,
784,882,887,894,1168,1197,1248,1322,1384,1771],[1,2,3,4,6,11,12,15,17,20,21,
22,24,26,33,51,56,57,58,60,63,64,69,72,75,91,100,105,120,125,127,137,142,148,
154,160,167,201,207,209,212,236,251,253,259,264,281,310,317,322,324,333,339,
340,364,392,429,451,461,493,510,513,520,607,652,664,670,680,691,788,802,831,
855,882,952,953,1174,1200,1303,1429,1455,1772],[1,2,3,5,6,7,11,12,13,16,20,21,
22,23,25,26,27,28,31,50,56,63,64,66,68,70,72,81,85,86,91,99,100,120,121,130,
134,137,139,141,143,146,156,158,161,162,207,228,235,243,252,254,257,259,261,
262,276,277,280,284,289,299,302,308,323,326,334,335,341,352,358,360,361,365,
373,399,404,425,470,487,598,625,629,633,665,671,672,721,735,740,768,772,790,
800,816,825,834,843,861,1240,1252,1277,1279,1293,1313,1315,1773],[1,2,3,7,11,
12,18,19,21,23,52,54,56,59,61,65,67,72,74,78,92,98,100,101,129,136,143,144,
146,199,205,206,207,208,229,256,303,312,315,335,343,354,360,363,397,414,424,
472,480,483,485,595,619,628,629,633,649,657,775,779,803,809,847,849,1145,1203,
1207,1208,1241,1263,1298,1774],[1,2,3,6,11,12,14,18,19,20,21,33,49,52,56,57,
58,60,64,67,72,80,82,83,89,100,117,137,142,146,165,166,199,207,208,214,220,
223,238,244,274,306,307,312,322,324,328,330,337,340,346,383,392,410,424,451,
460,466,469,470,471,586,595,600,601,611,612,621,626,637,642,656,715,716,718,
732,796,829,831,835,866,898,938,943,944,980,1162,1186,1188,1193,1324,1329,
1332,1391,1432,1775],[1,2,3,4,6,7,11,12,15,18,19,20,21,23,24,25,26,56,57,59,
61,66,67,69,72,74,78,91,92,98,100,101,105,107,108,112,113,118,122,124,129,131,
136,137,143,206,207,229,237,243,253,254,256,257,258,264,281,300,303,312,315,
329,341,344,347,353,354,360,361,363,364,392,402,405,423,472,480,483,604,628,
633,657,660,664,665,689,770,778,786,791,803,820,833,840,847,874,911,1211,1225,
1238,1241,1280,1287,1299,1776],[1,2,3,6,11,12,13,18,19,20,21,50,52,56,57,64,
67,72,81,85,86,99,100,130,146,163,199,207,208,221,252,258,312,328,334,337,352,
365,426,595,598,604,626,627,636,858,1159,1194,1301,1777],[1,2,3,4,5,6,7,10,11,
12,13,14,15,16,17,20,21,23,24,25,26,27,28,32,34,48,49,50,51,53,55,56,62,64,66,
68,69,70,71,72,78,80,81,82,83,85,86,89,90,91,94,98,99,100,105,106,117,130,133,
136,141,143,144,145,150,152,153,157,158,159,160,164,202,203,207,210,211,227,
232,235,238,246,248,250,252,253,257,263,264,276,280,281,286,292,293,294,298,
302,306,307,313,318,323,325,333,334,343,346,349,350,351,352,354,356,357,360,
364,365,367,382,388,390,391,399,404,406,409,419,427,428,438,443,450,463,475,
478,488,596,597,598,601,625,633,645,649,653,664,677,682,695,710,735,750,758,
767,776,789,801,808,817,823,826,843,856,868,884,896,900,906,909,921,926,956,
957,1165,1199,1252,1266,1270,1288,1289,1356,1359,1389,1390,1778],[1,2,3,4,5,6,
7,11,12,13,14,15,16,20,21,22,23,24,25,26,27,28,30,31,32,34,49,55,56,59,61,63,
64,66,68,69,70,72,78,79,80,81,82,83,85,87,89,90,91,92,93,95,96,97,98,100,101,
103,106,110,117,118,119,121,129,130,131,132,134,136,141,144,145,150,151,152,
153,158,159,161,207,213,224,228,233,234,235,237,238,239,240,241,242,246,257,
261,276,277,279,286,288,291,297,301,302,303,304,306,307,308,315,319,323,325,
329,332,338,339,343,346,349,352,354,355,357,358,359,363,369,370,378,381,387,
388,389,408,409,412,415,416,430,435,436,437,438,440,445,446,450,458,463,467,
474,476,482,483,484,486,601,625,628,631,646,649,659,660,672,676,698,720,725,
726,744,771,797,799,806,818,823,827,836,838,841,842,850,869,875,896,900,907,
913,916,925,932,982,990,1023,1201,1202,1261,1266,1269,1275,1278,1327,1348,
1405,1412,1779],[1,2,3,6,10,11,12,13,14,17,20,25,26,33,48,49,50,51,53,55,56,
57,60,64,66,71,81,82,83,91,99,135,137,142,146,147,202,203,210,218,236,238,243,
244,246,248,252,254,258,260,263,293,324,331,335,337,340,348,371,373,410,431,
466,468,469,470,597,602,606,683,696,709,714,718,736,740,800,824,835,853,854,
895,898,908,912,948,1000,1152,1219,1246,1259,1300,1306,1308,1780],[1,2,3,6,11,
12,14,17,20,21,22,26,49,51,56,57,58,63,64,72,80,82,83,89,91,100,117,125,148,
207,209,212,220,236,238,258,306,307,310,317,346,461,601,604,607,666,697,773,
882,1153,1276,1303,1781],[1,2,3,4,5,6,11,12,13,14,15,16,18,19,20,21,24,25,26,
27,52,55,56,66,67,68,69,72,81,82,87,90,91,95,97,100,103,108,112,113,118,122,
126,131,132,137,143,144,149,199,207,208,233,234,237,240,242,243,246,254,269,
274,281,283,302,312,316,329,341,343,344,353,360,361,370,377,378,435,481,482,
590,595,633,646,649,660,662,665,686,693,741,791,821,832,869,875,892,902,1171,
1238,1261,1264,1281,1283,1298,1782],[1,2,3,4,5,6,7,11,12,13,14,15,16,18,19,20,
21,23,24,25,26,27,30,31,32,50,52,55,56,57,59,61,64,66,67,68,69,72,78,80,81,82,
85,86,87,90,91,92,93,95,97,98,99,100,101,102,103,106,108,112,113,117,119,122,
126,129,130,131,132,133,134,136,137,146,149,150,199,207,208,215,221,225,233,
234,237,240,242,243,246,252,254,258,269,274,279,281,283,295,298,301,302,303,
304,307,312,314,315,316,318,320,321,328,332,334,335,336,341,344,352,353,354,
356,361,363,365,373,378,390,392,402,406,414,424,430,437,441,445,449,453,454,
463,464,466,468,470,474,479,482,483,484,490,590,595,598,604,627,628,629,636,
646,662,665,686,693,740,741,750,751,756,760,770,775,786,791,792,793,800,809,
821,832,848,853,873,924,929,932,934,951,980,984,1159,1208,1212,1277,1283,1294,
1299,1342,1363,1373,1411,1783],[1,2,3,7,10,11,12,17,18,19,21,22,23,26,28,48,
51,56,57,60,63,67,70,72,78,84,88,91,94,98,100,136,146,203,207,208,209,211,218,
227,230,232,236,243,244,248,255,258,324,331,335,337,351,354,596,599,600,604,
606,656,670,679,683,696,731,732,774,775,786,857,1155,1169,1247,1273,1300,1307,
1309,1784],[1,2,3,4,5,6,7,11,12,13,14,15,16,18,19,20,21,23,24,25,26,27,30,31,
32,49,52,55,56,59,60,61,64,66,67,68,69,72,78,79,80,81,82,83,85,87,89,90,91,92,
95,96,97,98,100,101,103,106,108,112,113,117,119,122,126,129,130,131,132,134,
136,137,145,146,149,150,199,207,208,213,214,224,233,234,237,238,240,242,243,
244,246,254,269,274,279,281,283,288,291,297,301,302,303,304,306,307,312,315,
316,319,325,330,332,335,338,341,344,346,349,352,353,354,357,361,363,369,371,
378,387,410,414,424,430,431,436,437,438,440,444,445,450,451,463,467,469,474,
476,482,483,484,486,590,595,600,601,621,628,629,642,646,662,665,686,693,725,
726,741,744,771,775,791,799,809,821,823,827,832,857,879,881,895,908,912,916,
925,932,938,945,969,994,1162,1208,1265,1275,1283,1295,1312,1366,1369,1404,
1459,1785],[1,2,3,4,5,7,11,12,15,16,17,18,19,23,24,26,27,28,34,51,52,56,58,67,
68,69,70,73,75,78,91,107,109,114,115,116,123,124,128,146,152,153,157,158,159,
160,164,200,201,208,211,212,223,236,276,280,281,285,286,300,302,311,313,333,
337,342,347,350,403,414,494,495,496,512,587,603,655,669,691,715,753,757,761,
773,808,810,888,903,1178,1187,1218,1253,1256,1350,1448,1786],[1,2,3,4,5,6,10,
11,12,15,16,18,19,20,22,24,25,26,27,33,48,54,62,63,64,65,66,67,68,69,71,90,91,
107,108,109,110,112,113,114,115,116,122,124,125,126,127,137,142,146,148,149,
154,161,163,165,166,167,168,205,210,230,231,239,248,250,251,278,285,299,300,
308,316,326,331,339,342,344,348,353,371,375,380,383,385,417,426,429,461,470,
506,510,511,517,520,522,592,620,622,711,722,728,748,762,794,798,819,824,837,
905,952,966,976,988,1000,1230,1322,1398,1400,1428,1465,1473,1787],[1,2,3,4,5,
6,7,10,11,12,13,14,15,16,18,19,20,21,22,23,24,26,27,28,33,48,49,50,53,55,62,
63,67,68,69,70,71,72,77,79,87,90,91,93,94,95,96,97,98,102,103,104,109,110,116,
125,127,137,142,146,148,154,158,163,164,165,166,167,202,229,230,232,233,234,
239,241,245,248,249,250,251,276,283,290,297,323,331,336,342,345,348,350,358,
359,364,373,383,410,426,429,461,492,498,506,510,520,522,620,644,694,700,711,
719,722,754,762,798,854,884,885,907,952,976,987,1000,1014,1249,1333,1361,1381,
1384,1400,1428,1788],[1,2,3,5,6,11,16,17,18,19,20,21,22,25,26,27,33,51,63,66,
67,68,72,73,84,88,91,110,114,115,120,125,126,132,135,141,142,147,148,149,154,
157,161,163,165,166,167,200,217,229,231,235,239,242,255,259,260,261,285,296,
299,305,308,313,316,317,323,326,361,362,366,368,374,383,384,398,407,411,418,
426,429,452,455,461,489,493,506,513,522,613,639,648,658,659,704,721,727,728,
734,765,780,864,890,917,946,953,976,979,987,988,998,1012,1019,1021,1030,1181,
1233,1370,1380,1417,1442,1447,1789],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,20,21,
23,24,25,26,27,28,29,30,31,32,48,53,59,61,62,64,66,68,69,70,71,72,74,76,78,79,
80,81,82,83,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,106,117,
118,119,121,129,130,131,132,133,134,136,139,143,144,145,150,151,155,156,158,
162,164,169,170,206,210,216,219,226,228,232,237,242,248,250,253,257,262,265,
267,270,271,272,276,279,280,282,284,288,289,290,292,293,294,298,301,303,304,
307,315,318,319,320,321,323,325,329,332,334,341,343,345,346,349,350,351,352,
355,360,361,363,364,367,369,378,386,387,390,393,395,397,412,413,415,416,425,
430,432,433,436,437,438,440,441,442,443,445,448,449,453,454,458,462,463,464,
465,467,472,473,474,475,476,477,478,479,480,482,483,484,485,486,487,490,593,
663,668,676,677,681,689,703,713,724,725,735,737,742,743,744,751,755,772,776,
777,787,789,792,795,797,803,817,820,826,834,838,845,849,850,867,869,884,892,
893,899,900,906,925,932,936,949,951,955,960,964,965,973,974,977,983,985,1009,
1013,1234,1343,1351,1356,1374,1383,1385,1402,1405,1406,1421,1422,1426,1427,
1462,1790],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,22,23,24,25,26,27,28,31,33,34,
51,54,63,65,66,67,68,69,70,75,77,84,88,91,104,107,108,109,110,112,113,114,115,
116,120,122,123,124,125,126,128,134,135,138,140,142,147,148,149,151,152,153,
154,157,159,162,163,164,165,166,167,168,201,205,217,239,245,255,259,260,262,
278,285,286,287,296,300,305,309,311,313,316,327,342,344,350,353,355,362,366,
368,375,380,383,384,385,394,398,407,411,417,421,426,429,447,452,455,461,489,
492,493,494,495,498,499,501,502,504,506,507,509,511,513,516,517,519,522,613,
618,648,685,705,729,733,734,748,759,765,780,805,839,846,851,876,888,920,928,
930,953,966,976,998,999,1007,1008,1012,1014,1017,1019,1020,1021,1025,1027,
1030,1184,1196,1345,1347,1370,1380,1399,1479,1484,1487,1489,1791],[1,2,3,4,5,
6,7,11,12,13,14,15,16,20,21,22,23,24,25,26,27,28,29,30,31,32,49,50,52,55,56,
57,60,63,64,66,68,69,70,76,78,79,80,81,82,83,85,86,87,89,90,91,92,93,95,96,97,
98,99,100,101,102,103,106,117,119,129,130,131,132,133,134,136,137,145,146,150,
151,155,156,161,162,168,169,170,199,209,211,214,221,226,238,240,241,243,244,
246,249,252,254,258,262,267,269,270,274,277,278,281,282,284,288,291,295,297,
298,299,302,306,307,308,314,318,319,320,321,325,328,330,335,336,338,349,352,
354,355,356,357,359,365,369,371,373,378,387,390,392,402,406,410,414,424,430,
431,433,436,437,438,440,441,442,443,444,445,449,450,451,453,454,463,464,465,
466,467,468,469,470,474,476,479,482,483,484,486,490,590,605,621,634,635,636,
640,647,650,653,662,666,667,678,679,712,717,720,740,750,756,764,768,770,774,
785,786,800,809,823,827,853,857,873,879,881,895,908,912,916,918,924,925,929,
933,934,938,945,949,951,969,973,980,983,984,994,1229,1297,1311,1317,1321,1340,
1342,1369,1404,1411,1414,1425,1445,1450,1460,1792],[1,2,3,4,5,6,7,10,11,12,13,
14,15,16,18,19,20,21,22,23,24,26,27,28,29,30,31,32,48,49,50,53,55,59,61,62,63,
67,68,69,70,71,72,76,78,79,80,81,82,83,85,86,87,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,106,107,114,115,117,118,119,124,129,130,131,132,133,134,
136,138,139,140,143,144,145,150,202,213,215,216,219,224,225,230,232,233,234,
241,248,249,250,253,256,257,261,265,279,280,282,283,285,288,289,290,291,292,
293,294,295,297,300,301,303,304,306,314,315,318,319,320,321,326,327,329,332,
334,336,338,339,343,345,346,349,351,356,357,359,360,363,365,367,369,370,372,
377,378,386,387,395,396,406,433,435,436,439,440,441,442,443,449,450,453,454,
456,463,464,465,467,474,475,476,477,478,479,481,482,483,484,486,490,615,616,
644,651,674,677,690,692,694,698,712,717,724,726,735,742,743,755,760,767,771,
776,777,779,782,783,789,793,799,806,807,820,826,841,845,847,848,850,852,861,
863,865,875,900,902,904,905,906,916,918,919,933,934,955,958,977,1016,1018,
1304,1330,1336,1355,1356,1387,1394,1395,1401,1412,1415,1418,1424,1427,1440,
1793],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,32,
34,51,55,59,61,66,67,68,69,70,72,75,76,77,79,80,83,85,86,89,91,92,93,95,96,97,
99,101,102,104,106,107,109,116,117,118,119,121,123,124,126,128,129,130,131,
133,136,139,141,143,144,145,149,150,152,153,155,156,157,158,159,164,169,201,
215,224,226,227,228,234,235,237,241,245,249,253,256,263,270,276,283,284,286,
289,300,303,304,311,313,314,315,316,319,320,329,332,334,338,342,343,346,350,
360,370,376,381,388,389,390,396,399,400,404,406,408,409,412,413,415,416,425,
432,435,436,437,438,439,442,443,446,449,450,458,464,465,474,476,479,486,487,
494,495,508,518,609,631,632,645,651,661,668,688,719,744,747,751,760,776,779,
795,797,799,801,820,828,834,838,842,843,845,847,852,863,868,875,888,891,892,
893,896,901,904,906,913,918,923,937,982,983,989,990,1001,1023,1179,1206,1327,
1338,1354,1360,1364,1390,1408,1415,1419,1420,1421,1424,1462,1794],[1,2,3,4,5,
6,7,11,12,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,31,32,33,49,50,
51,55,56,57,58,60,64,66,67,68,69,70,76,78,79,80,81,82,83,85,86,87,89,90,91,92,
93,95,96,97,98,99,100,101,102,103,106,108,112,113,117,119,122,123,126,128,129,
130,131,132,133,134,135,136,137,142,145,146,147,149,150,151,155,156,157,160,
162,169,170,208,211,212,220,222,226,238,240,241,243,244,246,249,252,254,258,
260,262,263,267,270,282,283,284,288,291,295,297,298,306,307,310,311,313,314,
316,318,319,320,321,322,325,333,335,336,338,344,349,352,353,354,355,356,357,
365,369,371,373,378,387,390,392,402,403,406,410,430,431,433,436,437,438,440,
441,442,443,444,445,449,450,451,453,454,457,460,463,464,465,466,467,468,469,
470,471,474,476,479,482,483,484,486,490,514,516,519,521,603,624,627,635,640,
642,653,654,667,673,678,679,686,693,697,712,717,729,740,750,756,763,770,775,
786,800,823,827,853,857,870,873,879,880,881,895,901,908,912,914,915,916,918,
925,933,934,943,944,949,951,973,983,993,995,1011,1015,1232,1290,1305,1317,
1321,1353,1363,1366,1372,1373,1388,1425,1450,1459,1474,1795],[1,2,3,4,5,6,7,
10,11,12,13,14,15,16,20,21,23,24,27,28,29,30,31,32,34,48,49,50,53,55,59,61,62,
68,69,70,71,72,74,76,78,79,80,81,82,83,85,86,87,89,90,92,93,94,95,96,97,98,99,
100,101,102,103,105,106,117,118,119,121,129,130,131,132,133,134,136,139,141,
143,144,145,150,152,153,159,202,206,213,215,216,219,224,225,228,232,233,234,
235,241,249,250,264,265,266,268,271,272,273,275,279,282,286,288,289,290,291,
292,293,294,295,297,301,303,304,306,314,315,318,319,320,321,329,332,334,336,
338,343,345,346,349,351,356,357,360,363,365,367,369,370,372,376,377,378,379,
381,382,386,387,388,389,391,393,395,396,397,399,400,401,404,405,406,408,409,
412,413,415,416,419,420,423,425,427,428,432,433,434,435,436,439,440,441,442,
443,446,448,449,450,453,454,456,458,462,463,464,465,467,472,473,474,475,476,
477,478,479,480,481,482,483,484,485,486,487,488,490,591,593,594,615,616,630,
631,644,695,701,706,707,708,712,713,717,724,726,742,743,755,760,767,771,778,
789,793,795,797,799,803,804,826,834,838,842,843,848,849,856,863,865,875,891,
896,899,902,909,913,916,918,919,921,922,923,926,933,934,935,936,937,939,941,
942,947,950,955,956,957,958,959,960,963,964,965,967,968,970,971,974,975,977,
978,981,982,985,986,989,990,991,992,1001,1002,1003,1004,1005,1006,1009,1010,
1013,1016,1018,1022,1023,1024,1026,1151,1319,1320,1327,1330,1338,1351,1371,
1374,1376,1389,1401,1413,1439,1443,1477,1480,1481,1482,1483,1485,1488,1492,
1796],[1,2,3,6,7,11,12,13,14,20,22,23,28,32,33,49,50,52,56,57,58,60,63,64,70,
78,81,82,83,99,106,133,137,142,145,146,150,154,167,199,209,211,214,220,221,
222,223,238,244,252,258,269,274,277,298,310,322,324,325,328,330,337,340,356,
357,371,373,402,403,410,414,429,431,443,444,457,466,468,469,470,471,586,605,
608,611,612,614,621,626,636,650,653,666,670,679,680,709,714,716,718,731,732,
736,761,781,796,813,829,835,859,897,898,914,915,924,929,945,969,995,1011,1183,
1186,1204,1235,1311,1324,1368,1393,1409,1431,1434,1435,1436,1446,1466,1797],[
1,2,3,4,5,6,7,11,12,15,16,20,22,23,24,26,27,28,33,34,52,56,57,60,63,64,68,69,
70,78,90,91,110,111,120,125,127,137,142,148,152,153,154,158,159,164,167,199,
209,211,239,240,243,247,251,259,276,277,280,281,286,302,324,326,328,330,339,
340,350,402,429,444,461,493,497,503,506,510,513,520,522,605,641,652,662,670,
680,730,808,814,818,825,829,882,897,952,953,954,976,1198,1204,1231,1396,1397,
1429,1455,1798],[1,2,3,4,5,6,7,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,
28,29,31,32,34,51,55,59,61,66,67,68,69,70,72,73,76,77,79,80,83,85,86,87,89,91,
92,93,96,99,101,102,103,104,105,106,109,113,114,115,116,117,118,121,122,123,
128,129,130,132,133,134,136,139,143,144,145,150,151,152,153,158,159,160,162,
164,170,200,213,225,227,228,233,241,242,245,249,256,257,262,263,264,267,276,
279,283,285,286,288,289,291,295,301,303,311,315,321,329,333,334,342,343,346,
350,353,355,360,369,372,377,379,387,390,391,401,405,406,412,413,415,416,419,
420,423,425,427,428,432,433,434,438,440,441,442,443,445,450,453,456,458,481,
484,487,490,496,499,504,512,609,623,630,638,661,676,682,690,719,725,726,733,
735,763,777,778,779,792,793,795,797,801,804,828,834,838,847,850,852,856,865,
867,868,869,900,902,903,904,909,933,935,949,975,981,1002,1005,1006,1010,1026,
1180,1209,1318,1319,1320,1352,1354,1359,1360,1377,1394,1395,1405,1406,1444,
1799],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,
31,33,34,51,54,55,56,58,63,65,66,67,68,69,70,72,73,75,77,78,79,81,82,83,84,87,
88,90,91,93,95,96,97,99,102,103,104,105,107,108,109,110,111,112,113,114,115,
116,119,120,121,122,123,124,126,127,128,131,132,134,135,136,137,138,140,141,
142,147,149,151,152,153,155,156,157,158,159,160,161,162,164,168,200,201,205,
208,211,212,226,227,228,229,231,233,234,235,236,237,239,240,241,242,243,245,
246,247,249,251,253,254,255,256,257,259,260,262,263,264,276,277,278,280,281,
283,284,285,286,287,299,300,302,308,309,311,312,313,316,317,323,326,327,333,
339,341,342,344,347,350,353,355,358,359,361,364,366,374,375,379,380,381,385,
389,394,411,417,418,420,421,422,440,441,447,454,457,459,467,471,476,479,491,
494,495,496,499,500,501,502,504,505,507,508,509,512,514,515,516,518,519,521,
603,610,618,619,623,624,630,631,632,635,638,639,640,645,648,651,654,655,661,
668,675,676,682,684,685,686,688,690,691,693,710,719,720,723,727,728,729,730,
733,737,738,739,741,745,746,747,748,749,752,753,754,757,759,763,764,766,768,
769,772,783,785,790,791,794,802,805,807,808,810,811,812,814,815,816,818,819,
821,822,825,830,832,833,836,840,844,855,860,862,864,870,871,872,874,883,885,
886,888,889,890,894,901,903,907,910,911,996,997,1017,1020,1027,1029,1196,1206,
1209,1218,1250,1284,1290,1335,1337,1341,1346,1357,1358,1367,1379,1407,1410,
1437,1438,1441,1451,1452,1453,1454,1463,1464,1468,1469,1471,1800],[1,2,3,4,5,
6,7,10,11,12,13,14,15,16,18,19,20,21,22,23,24,25,27,28,29,30,31,32,34,48,53,
59,61,62,63,64,66,67,68,69,70,71,72,76,78,79,80,81,82,83,85,86,87,89,90,92,93,
94,95,96,97,98,99,100,101,102,103,105,106,109,110,113,116,117,118,119,122,126,
127,129,130,131,132,133,134,136,138,139,140,141,143,144,145,149,150,152,153,
155,159,161,162,168,169,170,210,216,219,226,230,232,235,237,239,242,250,251,
256,261,262,264,265,267,270,278,279,282,286,288,289,290,292,293,294,298,301,
303,304,307,308,315,316,318,319,320,321,325,327,329,332,334,342,343,345,346,
349,351,352,353,360,363,367,369,376,378,382,386,387,388,390,391,395,399,400,
401,404,405,408,409,419,423,427,428,430,433,434,436,437,438,440,441,442,443,
445,446,449,453,454,463,464,465,467,474,475,476,477,478,479,482,483,484,486,
488,490,501,505,507,515,620,623,632,659,663,674,695,699,703,724,725,742,743,
744,751,755,778,779,782,789,792,804,805,806,817,826,837,841,842,843,844,847,
852,856,861,867,869,891,892,893,896,904,909,921,925,926,932,942,949,951,955,
956,957,970,971,973,977,983,1024,1217,1325,1348,1355,1377,1385,1389,1416,1419,
1420,1426,1440,1443,1444,1449,1801],[1,2,3,4,6,11,15,17,18,19,20,21,22,24,25,
26,33,51,63,66,67,69,72,75,84,88,91,105,107,111,113,122,124,125,127,131,135,
142,147,148,154,160,163,165,166,167,168,201,217,229,231,237,247,251,255,260,
261,264,278,296,299,300,305,317,333,339,341,353,362,364,368,383,384,394,398,
407,422,426,429,447,452,455,459,461,489,497,503,510,520,613,618,658,675,699,
705,734,765,780,794,802,874,877,886,920,928,930,931,952,954,961,962,972,987,
988,1028,1184,1223,1347,1375,1378,1417,1442,1802],[1,2,3,5,6,7,11,13,14,16,17,
20,21,22,23,25,26,27,28,29,31,32,51,55,59,61,63,66,68,70,72,73,74,76,79,80,83,
85,86,87,89,91,92,93,99,101,103,106,110,117,118,129,130,132,133,134,136,139,
141,143,144,145,150,157,158,161,162,170,200,206,213,225,227,233,235,239,241,
242,253,261,262,263,267,268,275,276,279,288,289,291,295,301,303,308,313,315,
317,321,323,326,329,334,341,343,346,358,359,360,369,372,376,377,387,388,390,
393,397,399,400,404,406,408,409,433,438,440,441,442,443,445,446,448,450,453,
456,462,472,473,480,481,484,485,490,594,609,638,645,659,681,687,692,713,723,
725,726,776,782,792,793,801,803,806,816,820,828,841,842,843,845,849,861,865,
867,868,869,890,891,896,899,902,906,907,933,939,941,947,949,963,968,978,986,
1004,1180,1226,1325,1336,1343,1348,1352,1364,1365,1371,1376,1383,1390,1392,
1418,1803],[1,2,3,6,7,10,11,12,18,19,20,21,22,23,25,26,28,33,48,63,64,66,67,
70,71,72,77,91,94,98,104,108,111,112,120,125,137,142,146,148,151,154,156,163,
165,166,167,210,229,230,232,245,247,248,253,257,259,280,284,299,331,341,344,
347,348,355,358,361,371,383,426,429,461,470,492,493,497,498,503,513,622,643,
677,700,711,722,762,766,787,790,798,824,830,911,953,954,987,1000,1014,1220,
1381,1384,1430,1465,1467,1473,1804],[1,2,3,6,7,11,12,17,18,19,20,21,22,23,28,
33,51,54,56,57,58,60,63,64,65,67,70,72,77,78,84,88,104,121,123,128,136,137,
138,140,142,163,165,166,205,208,211,212,227,228,229,231,245,255,256,277,287,
309,310,311,312,317,322,324,327,340,358,383,402,421,426,444,492,498,511,517,
603,619,637,656,661,684,685,788,811,858,860,862,894,897,966,987,988,1014,1250,
1282,1302,1362,1386,1423,1461,1805],[1,2,3,7,11,12,17,18,19,21,23,26,28,29,51,
56,58,67,70,76,78,91,92,98,100,101,123,128,129,136,146,163,208,211,212,236,
282,311,335,354,403,426,442,460,483,603,667,678,773,775,858,880,1232,1256,
1302,1806],[1,2,3,4,6,7,11,13,14,15,17,20,21,22,23,24,25,26,28,29,30,32,51,55,
59,61,63,66,69,70,72,74,75,76,80,83,85,86,89,91,92,95,96,97,99,101,102,105,
106,117,118,119,127,129,130,131,133,136,139,143,144,145,150,155,160,164,168,
169,201,206,215,224,226,227,234,237,249,251,257,261,263,264,266,270,273,278,
289,303,304,314,315,317,319,320,329,332,333,334,338,339,343,346,350,358,359,
360,361,364,370,390,391,393,396,397,401,405,406,419,423,427,428,434,435,436,
437,438,439,442,443,448,449,450,462,464,465,472,473,474,476,479,480,485,486,
591,609,682,687,688,689,698,699,713,735,744,751,760,777,778,782,799,801,802,
803,804,806,828,841,849,850,856,861,863,868,871,875,885,892,893,899,900,909,
910,918,922,950,959,967,983,991,992,1003,1022,1179,1245,1318,1359,1365,1387,
1392,1402,1408,1412,1413,1416,1422,1439,1449,1807],[1,2,3,6,10,11,12,13,14,18,
19,20,22,26,33,48,49,50,53,54,55,63,65,67,71,91,111,120,125,137,142,146,148,
154,163,165,166,167,202,205,230,231,247,248,259,283,331,347,348,359,373,383,
410,426,429,461,493,497,503,511,513,517,592,610,643,694,711,722,762,798,854,
883,953,954,966,988,1000,1150,1322,1333,1361,1398,1430,1467,1808],[1,2,3,7,11,
12,21,22,23,28,29,52,56,63,70,76,78,92,98,100,101,125,129,136,146,148,199,209,
211,277,282,335,337,354,414,424,442,461,483,605,626,667,678,774,809,882,1198,
1237,1297,1809],[1,2,3,6,7,11,12,13,14,17,18,19,20,23,28,32,33,49,50,51,52,56,
57,58,60,64,67,70,78,81,82,83,99,106,123,128,133,137,142,145,146,150,165,166,
208,211,212,214,220,221,222,223,238,244,252,258,269,274,298,310,311,322,324,
325,328,330,337,340,356,357,371,373,383,402,403,410,414,431,443,444,457,466,
468,469,470,471,587,603,608,611,612,614,627,637,642,653,656,669,673,679,697,
709,714,715,716,718,731,732,736,761,781,788,796,835,859,897,898,914,915,924,
929,945,969,995,1011,1182,1185,1253,1282,1305,1323,1331,1334,1339,1368,1391,
1409,1431,1432,1446,1810],[1,2,3,4,5,6,7,11,15,16,17,18,19,20,22,23,24,25,26,
27,28,30,33,34,51,54,63,65,66,67,68,69,70,73,77,84,88,91,104,107,108,109,111,
112,113,114,115,116,119,122,123,124,125,126,127,128,135,138,140,142,147,148,
149,152,153,154,155,156,158,159,160,161,163,165,166,167,200,205,217,226,245,
247,251,255,260,276,284,285,286,287,296,300,305,308,309,311,316,327,333,342,
344,353,362,368,374,375,380,383,384,385,398,407,417,418,421,422,426,429,452,
455,459,461,489,491,492,496,497,498,500,503,505,508,510,511,512,514,515,517,
518,520,521,613,639,675,685,704,734,745,747,748,765,780,839,844,846,851,870,
876,903,917,931,946,952,954,961,962,966,972,979,996,997,999,1007,1008,1014,
1025,1028,1029,1181,1284,1345,1375,1378,1399,1447,1476,1478,1486,1490,1811],[
1,2,8,9,12,21,36,37,52,100,146,171,180,188,193,424,525,531,532,536,550,558,
1033,1063,1123,1136,1494,1812],[1,2,8,9,12,14,36,37,49,52,60,171,174,180,189,
214,525,531,532,536,548,554,1035,1044,1116,1494,1813],[1,2,6,8,9,12,14,20,36,
37,38,52,82,137,171,174,179,180,189,274,525,531,532,536,545,551,1035,1053,
1069,1494,1814],[1,2,8,9,12,13,36,37,50,52,57,171,176,180,185,221,525,531,532,
536,542,557,1036,1043,1105,1494,1815],[1,2,7,8,9,12,23,36,37,43,44,45,52,78,
146,171,180,187,190,414,523,524,525,531,532,536,555,556,1032,1060,1124,1141,
1494,1816],[1,2,6,8,9,12,13,20,36,37,39,52,81,137,171,176,178,180,185,269,525,
531,532,536,543,546,1036,1051,1054,1494,1817],[1,2,3,8,9,10,11,12,36,37,40,48,
52,58,171,175,177,180,184,204,525,531,532,536,541,552,1031,1045,1052,1074,
1494,1818],[1,2,7,8,9,10,21,23,36,37,43,44,45,94,143,144,171,175,184,187,188,
190,193,367,523,524,525,566,580,1031,1032,1033,1497,1498,1499,1819],[1,2,4,8,
9,13,15,21,36,37,41,47,86,105,144,171,176,182,185,188,191,193,419,525,526,577,
578,1033,1036,1037,1495,1499,1500,1820],[1,2,7,8,9,10,13,14,21,23,36,37,43,44,
45,53,86,89,94,150,171,174,175,176,184,185,187,188,189,190,193,292,523,524,
525,533,566,570,572,573,575,577,580,1031,1032,1033,1035,1036,1129,1495,1498,
1501,1504,1505,1821],[1,2,4,5,7,8,9,10,15,16,21,23,34,36,37,41,42,43,44,45,46,
47,62,94,105,141,159,171,175,182,183,184,187,188,190,191,192,193,194,195,196,
198,488,523,524,525,526,527,559,566,578,579,580,582,584,585,1031,1032,1033,
1034,1037,1038,1039,1142,1496,1498,1500,1502,1503,1822],[1,2,5,8,9,14,16,21,
36,37,42,46,89,141,144,171,174,183,188,189,192,193,409,525,527,575,579,1033,
1034,1035,1496,1499,1501,1823],[1,2,5,8,9,13,16,21,36,37,42,46,86,141,143,171,
176,183,185,188,192,193,399,525,527,577,579,1033,1034,1036,1495,1496,1497,
1824],[1,2,4,8,9,14,15,21,36,37,41,47,89,105,143,171,174,182,188,189,191,193,
391,525,526,575,578,1033,1035,1037,1497,1500,1501,1825],[1,2,3,11,12,35,52,56,
58,172,199,223,586,1826],[1,2,3,8,11,12,18,19,21,36,40,52,54,56,65,67,72,74,
100,177,199,205,206,207,208,229,256,312,531,534,535,595,619,657,1050,1059,
1068,1145,1827],[1,2,3,6,8,11,12,13,17,20,33,36,39,50,51,52,56,57,58,60,64,81,
99,137,142,176,178,180,212,221,222,223,244,252,269,310,322,324,330,340,457,
531,532,543,546,587,608,611,673,716,781,788,1043,1046,1047,1051,1182,1507,
1515,1521,1828],[1,2,3,4,9,11,12,15,17,24,26,37,41,51,52,56,58,69,75,91,160,
181,182,201,212,223,236,281,333,536,544,562,587,691,773,1087,1187,1508,1829],[
1,2,3,9,10,11,12,17,37,48,51,52,56,58,181,184,199,203,204,212,223,536,544,586,
587,588,1074,1093,1144,1508,1830],[1,2,3,5,9,11,12,16,17,26,27,37,42,51,52,56,
58,68,73,91,157,181,183,200,212,223,236,302,313,536,544,576,587,655,773,1089,
1178,1508,1831],[1,2,3,8,10,11,12,17,36,40,48,51,52,56,58,175,177,180,199,203,
204,212,223,531,532,541,552,586,587,588,1045,1046,1050,1052,1144,1507,1512,
1518,1832],[1,2,3,6,8,11,12,14,17,20,33,36,38,49,51,52,56,57,58,60,64,82,83,
137,142,174,179,180,212,214,220,223,238,258,274,310,322,324,328,340,471,531,
532,545,551,587,612,614,697,788,796,859,1044,1046,1048,1053,1185,1507,1519,
1524,1833],[1,2,3,6,8,11,12,14,17,20,33,36,49,51,52,56,57,58,60,64,82,83,137,
142,180,189,212,214,220,223,238,258,274,310,322,324,328,340,471,531,532,548,
554,587,612,614,697,788,796,859,1046,1069,1116,1185,1507,1516,1523,1834],[1,2,
3,5,6,9,11,16,17,18,19,20,22,25,27,33,37,46,51,63,66,67,68,73,84,88,126,135,
142,147,149,154,161,165,166,167,181,192,200,217,255,260,296,308,316,368,374,
383,384,398,407,418,429,544,563,613,639,704,734,946,1049,1076,1181,1514,1534,
1835],[1,2,3,5,9,11,12,16,17,26,27,37,46,51,52,56,58,68,73,91,157,181,192,200,
212,223,236,302,313,536,544,563,587,655,773,1076,1178,1508,1836],[1,2,3,4,7,9,
11,15,17,21,23,24,26,28,29,37,41,51,59,61,69,70,72,76,91,92,101,105,118,129,
136,139,160,164,181,182,186,227,257,264,289,303,315,329,333,350,401,405,423,
434,442,544,547,549,560,562,609,682,777,778,804,828,850,1087,1091,1095,1318,
1510,1837],[1,2,3,7,8,11,12,17,18,19,23,28,36,44,51,52,56,58,67,70,78,123,128,
146,180,187,208,211,212,223,311,337,403,414,531,532,555,556,587,603,669,715,
761,1046,1060,1124,1253,1507,1513,1529,1838],[1,2,3,6,8,11,12,14,18,19,20,36,
38,49,52,56,57,58,60,64,67,82,83,146,174,179,180,208,214,220,223,238,244,322,
324,328,337,466,469,531,542,545,556,611,642,656,715,732,796,898,1044,1046,
1048,1112,1391,1517,1524,1529,1839],[1,2,3,4,9,11,15,17,18,19,22,24,26,37,41,
51,63,67,69,84,88,91,107,111,124,127,160,163,181,182,217,247,251,255,296,300,
333,422,426,452,455,459,544,562,613,675,765,961,962,1049,1087,1375,1514,1573,
1840],[1,2,3,6,8,11,12,20,21,33,36,39,52,56,57,58,60,64,72,100,137,142,146,
178,180,188,207,223,244,322,324,330,337,340,392,424,451,460,531,542,543,558,
600,611,716,732,831,835,866,1046,1047,1063,1121,1329,1515,1517,1526,1841],[1,
2,3,6,8,11,12,14,20,21,33,36,38,49,52,56,57,58,60,64,72,80,82,83,89,100,117,
137,142,146,174,179,180,188,189,207,214,220,223,238,274,306,307,322,324,328,
337,340,346,392,410,424,451,460,466,469,470,471,531,545,554,558,571,575,601,
612,718,796,831,866,898,938,943,944,980,1044,1046,1048,1063,1069,1114,1332,
1516,1524,1526,1575,1583,1842],[1,2,3,6,8,11,12,14,18,19,20,33,36,39,49,52,56,
58,60,64,67,82,83,137,142,146,165,166,178,180,189,208,223,238,244,274,322,330,
337,340,383,410,470,471,531,543,554,556,612,637,642,715,716,718,835,1046,1047,
1069,1083,1432,1515,1516,1529,1843],[1,2,3,6,8,11,12,13,20,22,36,39,50,52,56,
57,58,60,63,64,81,99,146,176,178,180,209,221,222,223,244,252,310,324,330,337,
431,468,531,542,546,550,611,650,670,709,732,781,813,1043,1046,1047,1122,1434,
1517,1520,1521,1844],[1,2,3,6,7,8,11,12,20,23,28,33,36,38,44,52,56,57,58,60,
64,70,78,137,142,146,179,180,187,211,223,244,258,310,324,328,337,340,402,403,
414,444,531,542,551,555,611,679,731,761,835,859,897,1046,1048,1060,1126,1409,
1513,1517,1519,1845],[1,2,3,7,9,11,17,21,22,23,28,29,37,51,59,61,63,70,72,74,
76,92,101,129,136,143,144,181,186,193,206,227,261,303,315,317,343,358,360,397,
442,472,480,485,544,547,549,560,609,687,782,803,806,849,868,1075,1081,1085,
1392,1510,1846],[1,2,3,5,9,11,16,17,18,19,22,26,27,37,42,51,63,67,68,84,88,91,
110,114,115,120,157,163,181,183,217,239,255,259,285,296,313,366,411,426,452,
455,544,576,613,648,765,998,1012,1049,1089,1370,1514,1556,1847],[1,2,3,6,8,11,
12,13,18,19,20,36,39,50,52,56,57,58,60,64,67,81,99,146,176,178,180,208,221,
222,223,252,258,310,324,330,337,431,468,531,546,548,556,614,627,656,709,715,
731,781,1043,1046,1047,1092,1339,1521,1523,1529,1848],[1,2,3,6,8,11,12,14,20,
22,33,36,38,49,52,56,57,58,63,64,82,83,137,142,146,154,167,179,180,189,209,
223,238,258,274,310,328,337,340,410,429,470,471,531,550,551,554,612,666,680,
718,736,813,859,1046,1048,1069,1113,1393,1516,1519,1520,1849],[1,2,3,6,8,11,
12,14,20,22,36,38,49,52,56,57,58,60,63,64,82,83,146,174,179,180,209,214,220,
223,238,258,322,324,328,337,466,469,531,545,548,550,614,666,670,731,796,813,
898,1044,1046,1048,1120,1466,1520,1523,1524,1850],[1,2,3,5,6,7,9,11,13,14,16,
17,20,21,23,25,27,28,29,31,32,37,46,51,55,59,61,66,68,70,72,73,76,79,80,83,85,
86,87,89,92,93,99,101,103,106,117,129,130,132,133,134,136,145,150,162,170,181,
186,192,200,213,225,227,233,241,242,262,263,267,279,288,291,295,301,303,315,
321,334,346,369,387,390,406,433,438,440,441,442,443,445,450,453,484,490,544,
547,549,560,563,581,609,638,725,726,792,793,801,933,949,1076,1106,1107,1130,
1180,1510,1851],[1,2,3,4,6,7,9,11,13,14,15,17,20,21,23,24,25,28,29,30,32,37,
47,51,55,59,61,66,69,70,72,75,76,80,83,85,86,89,92,95,96,97,99,101,102,106,
117,119,129,130,131,133,136,145,150,155,169,181,186,191,201,215,224,226,227,
234,237,249,263,270,303,304,314,315,319,320,332,334,338,346,390,406,436,437,
438,442,443,449,450,464,465,474,476,479,486,544,547,549,560,564,583,609,688,
744,751,760,799,801,918,983,1097,1103,1104,1133,1179,1510,1852],[1,2,3,4,6,9,
11,15,17,18,19,20,22,24,25,33,37,47,51,63,66,67,69,75,84,88,113,122,135,142,
147,154,165,166,167,168,181,191,201,217,255,260,278,296,353,368,383,384,394,
398,407,429,447,544,564,613,618,705,734,930,1049,1097,1184,1514,1561,1853],[1,
2,3,7,9,11,17,18,19,22,23,28,37,43,45,51,54,63,65,67,70,77,84,88,104,123,125,
128,138,140,148,181,190,205,217,245,255,287,296,305,309,311,327,362,421,461,
489,537,539,544,613,685,780,839,846,851,876,1049,1078,1399,1514,1527,1528,
1854],[1,2,3,6,8,10,11,12,13,14,17,20,25,33,36,40,48,49,50,51,52,53,55,56,58,
64,66,71,81,82,83,99,135,137,142,147,175,177,180,185,189,199,202,203,204,210,
212,223,238,246,252,254,260,263,269,274,293,340,348,457,471,531,541,554,557,
568,570,588,590,597,602,608,612,654,702,1045,1046,1050,1054,1069,1101,1149,
1516,1518,1525,1577,1582,1855],[1,2,3,7,9,10,11,12,17,21,23,28,29,37,48,51,56,
59,61,70,72,76,78,92,94,98,100,101,129,136,181,184,186,203,207,211,216,219,
227,232,265,282,303,315,351,354,363,442,483,544,547,549,560,596,609,628,678,
755,1080,1082,1093,1135,1147,1510,1856],[1,2,3,8,10,11,12,17,36,40,48,51,52,
56,57,58,60,175,177,180,199,203,204,212,218,223,244,258,324,531,541,542,548,
588,611,614,696,1045,1046,1050,1077,1146,1517,1518,1523,1857],[1,2,3,7,9,11,
17,18,19,21,23,28,29,37,43,45,51,59,61,67,70,72,76,77,92,101,104,121,123,128,
129,136,143,144,181,186,190,227,228,245,256,303,311,315,343,360,413,415,432,
442,458,537,539,544,547,549,560,609,661,779,795,838,847,868,1078,1079,1088,
1354,1510,1858],[1,2,3,5,7,9,11,16,17,21,23,26,27,28,29,37,42,51,59,61,68,70,
72,76,91,92,101,118,129,136,139,141,157,158,181,183,186,227,235,253,276,289,
303,313,315,329,376,400,408,442,446,544,547,549,560,576,609,645,820,828,842,
845,891,1089,1090,1098,1364,1510,1859],[1,2,3,6,8,11,12,14,20,33,36,40,49,52,
56,57,58,60,64,82,83,137,142,177,180,189,199,214,220,223,238,244,274,322,324,
328,330,340,471,531,542,552,554,586,611,612,621,716,796,829,1046,1050,1069,
1100,1186,1512,1516,1517,1860],[1,2,3,6,8,11,12,13,20,33,36,40,50,52,56,57,58,
60,64,81,99,137,142,177,180,185,199,221,222,223,252,258,269,310,324,328,330,
340,457,531,548,552,557,586,608,614,636,781,829,859,1046,1050,1054,1099,1183,
1512,1523,1525,1861],[1,2,3,4,9,11,12,15,17,24,26,37,47,51,52,56,58,69,75,91,
160,181,191,201,212,223,236,281,333,536,544,564,587,691,773,1097,1187,1508,
1862],[1,2,3,6,7,8,11,12,13,14,20,23,28,32,33,36,38,44,49,50,52,56,57,58,60,
64,70,78,81,82,83,99,106,133,137,142,145,146,150,174,179,180,185,187,211,214,
220,223,238,252,269,298,322,324,325,328,337,340,356,357,402,403,410,414,431,
443,444,457,468,470,531,545,555,557,572,574,608,653,709,718,761,796,897,924,
945,995,1011,1044,1046,1048,1054,1060,1125,1446,1513,1524,1525,1572,1581,
1863],[1,2,3,6,8,11,12,13,18,19,20,33,36,38,50,52,56,57,58,64,67,81,99,137,
142,146,165,166,179,180,185,208,223,252,258,269,310,328,337,340,371,373,383,
457,531,551,556,557,608,627,637,714,715,736,859,1046,1048,1054,1119,1323,1519,
1525,1529,1864],[1,2,3,6,7,8,11,12,13,14,20,23,28,32,33,36,39,44,49,50,52,56,
57,58,60,64,70,78,81,82,83,99,106,133,137,142,145,146,150,176,178,180,187,189,
211,221,222,223,238,252,274,298,310,324,325,330,337,340,356,357,371,373,402,
403,414,443,444,466,469,471,531,546,554,555,565,573,612,653,714,761,781,897,
898,914,915,929,969,1043,1046,1047,1060,1069,1109,1431,1513,1516,1521,1568,
1574,1865],[1,2,3,6,8,11,12,13,20,33,36,38,39,40,50,52,56,57,58,60,64,81,99,
137,142,176,177,178,179,180,197,199,221,222,223,252,258,269,310,324,328,330,
340,457,531,540,546,551,552,569,586,608,614,636,781,829,859,1043,1046,1047,
1048,1050,1110,1183,1512,1519,1521,1522,1563,1866],[1,2,3,6,8,11,12,14,20,33,
36,38,39,40,49,52,56,57,58,60,64,82,83,137,142,174,177,178,179,180,197,199,
214,220,223,238,244,274,322,324,328,330,340,471,531,538,543,545,552,569,586,
611,612,621,716,796,829,1044,1046,1047,1048,1050,1108,1186,1512,1515,1524,
1530,1563,1867],[1,2,3,8,11,12,18,19,21,36,40,52,56,58,67,72,100,146,177,180,
188,199,207,208,223,312,337,424,460,531,552,556,558,586,595,626,715,866,1046,
1050,1063,1096,1188,1512,1526,1529,1868],[1,2,3,7,8,11,12,22,23,28,36,40,44,
52,56,58,63,70,78,146,177,180,187,199,209,211,223,277,337,403,414,531,550,552,
555,586,605,626,761,813,1046,1050,1060,1111,1235,1512,1513,1520,1869],[1,2,3,
9,10,11,12,17,18,19,22,37,48,51,56,63,67,84,88,181,184,203,208,209,217,230,
255,296,544,599,613,1049,1093,1148,1514,1870],[1,2,3,8,11,12,17,21,22,36,51,
52,56,58,63,72,100,146,180,188,207,209,212,223,317,337,424,460,531,532,550,
558,587,607,669,813,866,1046,1063,1123,1213,1507,1520,1526,1871],[1,2,3,8,10,
11,12,17,18,19,22,36,40,48,51,52,56,58,63,67,84,88,146,175,177,180,199,203,
204,208,209,212,223,230,255,331,335,337,531,541,550,556,588,599,683,715,813,
1045,1046,1050,1084,1243,1518,1520,1529,1872],[1,2,3,6,8,11,12,13,17,20,33,36,
50,51,52,56,57,58,60,64,81,99,137,142,180,185,212,221,222,223,244,252,269,310,
322,324,330,340,457,531,532,542,557,587,608,611,673,716,781,788,1046,1054,
1105,1182,1507,1517,1525,1873],[1,2,3,6,8,11,12,13,20,21,33,36,39,50,52,56,57,
58,60,64,72,81,85,86,99,100,130,137,142,146,176,178,180,185,188,207,221,222,
223,252,269,310,324,330,334,337,340,352,365,371,373,392,424,431,451,457,460,
468,531,546,557,558,567,577,598,608,709,714,781,831,866,984,993,994,1015,1043,
1046,1047,1054,1063,1127,1349,1521,1525,1526,1580,1584,1874],[1,2,3,6,7,8,11,
12,20,23,28,33,36,39,44,52,56,57,58,60,64,70,78,137,142,146,178,180,187,211,
223,244,258,322,324,330,337,340,402,403,414,444,531,543,548,555,614,679,716,
732,736,761,897,1046,1047,1060,1118,1368,1513,1515,1523,1875],[1,2,3,7,9,11,
12,17,18,19,23,28,37,43,45,51,52,56,58,67,70,78,123,128,146,181,190,208,211,
212,223,311,337,403,414,536,537,539,544,587,603,669,715,761,1078,1141,1253,
1508,1876],[1,2,3,9,11,12,17,21,22,37,51,52,56,58,63,72,100,146,181,193,207,
209,212,223,317,337,424,460,536,544,587,607,669,813,866,1081,1136,1213,1508,
1877],[1,2,3,6,8,10,11,12,13,14,17,20,25,36,38,39,40,48,49,50,51,52,53,55,56,
57,58,60,64,66,71,81,82,83,99,174,175,176,177,178,179,180,199,202,203,204,210,
212,214,218,220,221,222,223,238,244,246,252,258,263,293,310,322,324,328,330,
531,533,538,540,541,545,546,553,588,597,617,621,636,673,696,697,781,796,878,
1043,1044,1045,1046,1047,1048,1050,1086,1258,1509,1511,1518,1521,1522,1524,
1530,1878],[1,2,3,6,8,11,12,20,21,33,36,38,52,56,57,58,60,64,72,100,137,142,
146,179,180,188,207,223,258,310,324,328,337,340,392,424,451,460,531,548,551,
558,604,614,731,736,831,859,866,1046,1048,1063,1115,1316,1519,1523,1526,
1879],[1,2,3,9,11,17,18,19,21,22,37,51,63,67,72,84,88,125,148,181,193,217,229,
231,255,261,296,305,317,362,461,489,544,613,658,780,1049,1081,1417,1514,
1880],[1,2,3,7,8,10,11,12,17,21,23,28,36,40,44,48,51,52,56,58,70,72,78,94,98,
100,136,146,175,177,180,187,188,199,203,204,207,211,212,223,227,232,331,335,
337,351,354,403,414,424,460,531,541,555,558,561,566,588,596,683,761,809,866,
880,940,1045,1046,1050,1060,1063,1117,1189,1513,1518,1526,1559,1560,1881],[1,
2,3,6,8,10,11,12,17,20,25,33,36,38,39,40,48,51,52,56,57,58,60,64,66,71,135,
137,142,147,175,177,178,179,180,197,199,203,204,210,212,218,223,244,254,258,
260,310,322,324,328,330,340,348,531,541,543,551,553,569,588,602,696,716,788,
829,859,878,1045,1046,1047,1048,1050,1102,1255,1511,1515,1518,1519,1563,
1882],[1,2,3,6,8,11,12,13,20,22,33,36,39,50,52,56,58,60,63,64,81,99,137,142,
146,154,167,178,180,185,209,223,244,252,269,322,330,337,340,371,373,429,457,
531,543,550,557,608,650,680,714,716,813,835,1046,1047,1054,1094,1436,1515,
1520,1525,1883],[1,2,3,4,6,7,8,11,13,14,15,20,21,23,24,30,36,39,40,44,55,61,
69,72,74,80,83,89,92,95,96,97,105,117,119,129,130,131,136,139,143,145,150,174,
177,178,185,187,188,189,206,224,234,264,266,273,289,304,315,319,338,346,360,
391,396,401,427,434,439,450,462,472,473,474,476,480,486,534,538,561,565,567,
568,572,575,591,799,803,804,863,899,909,950,959,992,1003,1057,1061,1062,1067,
1068,1070,1073,1132,1439,1535,1536,1543,1549,1576,1578,1579,1884],[1,3,4,5,6,
7,9,17,18,19,22,24,25,26,27,28,31,33,34,42,45,47,65,75,84,104,108,109,110,115,
120,122,123,124,126,138,147,148,151,153,157,162,163,164,166,167,168,181,198,
217,305,309,385,407,411,447,452,492,493,494,501,502,504,517,519,522,539,564,
576,705,846,928,1008,1012,1020,1021,1049,1131,1484,1527,1556,1561,1885],[1,2,
3,6,7,8,11,12,13,14,20,21,23,25,32,36,39,40,44,49,52,55,56,60,64,66,78,81,82,
83,85,89,98,100,106,117,130,136,137,145,146,150,174,177,178,185,187,188,189,
199,214,238,244,246,254,269,274,306,325,330,335,349,352,354,357,371,410,414,
424,431,438,444,450,451,463,469,531,538,561,565,567,568,572,575,590,621,809,
823,879,895,912,938,945,969,994,1044,1047,1050,1054,1060,1063,1069,1132,1404,
1530,1560,1568,1572,1575,1580,1582,1886],[1,2,3,6,8,10,11,12,18,19,20,22,33,
36,38,39,40,48,54,63,65,67,71,137,142,154,163,165,166,167,175,177,178,179,180,
197,205,230,231,348,383,426,429,511,517,535,541,543,551,553,569,592,722,798,
966,988,1059,1102,1139,1398,1533,1598,1887],[1,2,4,5,6,7,8,10,13,14,15,16,20,
21,23,30,31,32,34,36,38,39,44,53,59,62,71,74,79,80,85,92,94,97,102,103,105,
106,117,118,119,121,130,131,132,133,134,139,141,143,144,145,159,175,178,179,
185,187,188,189,216,266,268,272,279,290,294,319,321,332,367,379,386,387,388,
389,395,396,400,404,405,412,415,425,427,428,432,434,435,446,448,449,456,472,
473,478,481,485,488,534,553,565,566,567,570,571,574,701,742,919,926,941,947,
959,964,970,981,990,991,1001,1006,1013,1056,1058,1061,1062,1064,1067,1072,
1134,1477,1532,1536,1542,1550,1552,1562,1564,1888],[1,2,3,5,6,7,8,11,13,14,16,
20,21,23,27,31,36,38,40,44,55,61,68,72,74,85,86,87,92,93,99,103,117,118,129,
130,132,133,134,136,141,143,150,176,177,179,185,187,188,189,206,225,233,235,
268,275,295,301,315,321,329,334,360,377,393,399,404,406,408,441,446,448,453,
472,480,481,484,534,540,561,568,571,573,574,577,594,713,793,803,842,843,902,
941,963,978,1004,1055,1058,1061,1064,1065,1068,1070,1138,1376,1541,1544,1557,
1562,1567,1569,1579,1889],[1,2,3,5,6,7,8,11,13,14,16,20,21,23,27,31,36,39,40,
44,55,59,68,72,74,79,80,83,87,89,101,103,117,129,130,132,134,136,139,141,144,
145,150,174,177,178,185,187,188,189,206,213,233,235,268,275,279,288,289,291,
303,343,346,369,372,376,388,397,400,409,440,450,456,462,473,484,485,534,538,
561,565,567,568,572,575,594,726,849,865,891,896,899,939,947,968,986,1058,1065,
1067,1068,1071,1072,1073,1132,1371,1538,1545,1555,1564,1565,1567,1578,1890],[
1,3,4,5,6,7,9,17,18,19,22,24,25,26,27,28,30,33,34,41,45,46,65,73,84,104,107,
108,109,111,113,114,123,127,135,138,148,149,152,154,155,156,158,160,161,163,
166,181,195,217,305,309,374,380,398,422,455,497,498,500,510,512,515,517,518,
521,539,562,563,704,846,962,972,979,997,1007,1049,1140,1476,1527,1534,1573,
1891],[1,2,3,4,6,7,8,11,13,14,15,20,21,23,24,30,36,38,40,44,55,59,69,72,74,85,
86,95,97,99,101,102,105,117,118,119,129,130,131,133,136,144,150,176,177,179,
185,187,188,189,206,215,234,264,266,273,303,314,320,329,332,334,343,370,393,
397,405,406,419,423,428,435,448,464,474,479,485,534,540,561,568,571,573,574,
577,591,713,760,778,849,856,875,922,967,991,1022,1055,1057,1062,1064,1068,
1071,1072,1138,1413,1540,1542,1549,1554,1555,1569,1570,1892],[1,2,3,6,7,8,10,
11,12,13,14,20,21,23,33,36,44,48,49,50,52,53,55,57,58,60,71,78,81,82,83,86,89,
94,99,100,117,130,133,136,137,142,145,146,150,174,175,176,185,187,188,189,202,
204,214,218,220,221,222,269,274,292,293,306,331,348,351,356,357,365,373,392,
402,403,406,410,414,424,431,444,450,451,457,460,466,468,469,471,478,531,533,
566,570,572,573,575,577,617,702,767,854,914,927,929,938,940,943,945,948,984,
1011,1015,1043,1044,1045,1054,1060,1063,1069,1129,1491,1509,1559,1572,1574,
1575,1577,1584,1893],[1,2,3,8,10,11,12,18,19,22,36,40,48,54,63,65,67,125,146,
148,175,177,180,205,230,231,331,461,535,541,550,556,592,711,762,1059,1084,
1322,1533,1894],[1,2,3,8,10,11,12,13,14,18,19,22,26,36,40,48,49,50,53,54,55,
63,65,67,91,111,120,175,177,180,185,189,202,205,230,231,247,248,259,283,347,
359,535,541,554,557,568,570,592,610,643,694,883,1059,1101,1150,1533,1591,
1895],[1,2,3,6,7,8,10,11,12,13,14,20,21,23,28,32,36,38,39,40,48,53,70,71,72,
74,80,81,82,83,85,86,89,94,98,99,106,117,118,121,130,133,139,145,150,174,175,
176,177,178,179,180,206,228,232,271,272,289,292,293,294,318,329,334,346,349,
386,393,412,416,425,443,448,462,463,473,477,478,487,533,534,538,540,541,545,
546,553,593,713,724,797,826,834,899,936,974,985,1013,1055,1056,1064,1066,1067,
1068,1073,1086,1374,1539,1548,1550,1551,1558,1569,1578,1896],[1,2,3,7,8,10,11,
12,21,23,28,29,36,40,44,48,59,61,70,72,74,76,78,92,94,98,100,101,121,129,136,
143,144,175,177,180,187,188,206,216,219,228,232,265,271,272,282,303,315,343,
351,360,363,367,397,413,415,432,442,458,472,475,480,483,485,534,541,555,558,
561,566,593,755,789,795,803,838,849,960,964,965,1009,1056,1061,1066,1068,1070,
1071,1072,1117,1351,1537,1548,1552,1553,1555,1571,1579,1897],[1,2,4,5,7,8,10,
13,14,15,16,21,23,34,36,44,53,61,62,74,79,86,89,94,97,101,102,103,105,118,121,
139,141,143,144,150,159,174,175,176,185,187,188,189,219,224,225,266,268,272,
290,291,292,314,367,376,379,386,389,391,393,396,397,399,401,408,409,413,416,
419,423,435,456,458,462,480,481,487,488,533,534,566,570,572,573,575,577,616,
701,919,921,936,965,968,971,989,992,1002,1004,1005,1022,1023,1055,1056,1058,
1062,1070,1071,1073,1129,1483,1532,1540,1541,1543,1551,1553,1565,1898],[1,2,3,
6,7,8,11,12,13,14,20,21,23,25,32,36,38,40,44,50,52,55,56,57,64,66,78,80,81,82,
86,98,99,100,106,117,130,133,136,137,146,150,176,177,179,185,187,188,189,199,
221,246,252,254,258,269,274,298,307,318,328,335,354,356,365,373,390,392,402,
406,414,424,463,466,468,470,531,540,561,568,571,573,574,577,590,636,750,770,
800,809,853,924,929,980,984,1043,1048,1050,1054,1060,1063,1069,1138,1411,1522,
1560,1574,1581,1582,1583,1584,1899],[1,2,4,5,7,8,10,13,14,15,16,21,23,34,36,
44,53,59,62,74,86,87,89,92,93,94,95,96,105,118,121,139,141,143,144,150,159,
174,175,176,185,187,188,189,213,215,216,272,273,275,292,295,338,345,367,370,
372,377,381,386,391,393,399,400,405,409,415,416,419,420,432,434,439,446,462,
472,485,487,488,533,534,566,570,572,573,575,577,615,708,921,936,937,958,963,
964,967,970,975,982,986,1003,1026,1055,1056,1057,1061,1065,1072,1073,1129,
1492,1535,1538,1551,1552,1554,1557,1566,1900],[1,2,4,5,6,7,8,12,13,14,15,16,
20,21,23,29,30,31,34,36,39,44,49,74,76,78,79,80,81,86,87,90,92,93,96,97,98,
101,102,105,118,119,121,133,134,139,141,143,144,145,150,159,176,178,180,187,
189,266,271,275,282,288,295,297,314,318,319,357,372,376,377,382,388,389,393,
396,397,399,412,413,415,419,420,423,427,433,434,435,446,454,465,472,473,475,
477,487,534,546,554,555,565,573,707,717,939,942,956,959,960,963,985,989,990,
1010,1016,1022,1026,1055,1061,1062,1065,1066,1067,1071,1109,1480,1536,1540,
1545,1547,1557,1558,1571,1901],[1,2,4,5,6,7,8,12,14,15,16,20,21,23,34,36,38,
49,59,61,74,79,82,85,87,89,90,96,97,98,100,105,117,118,121,129,131,132,139,
141,143,144,145,159,174,179,180,188,189,213,224,266,271,275,297,301,306,332,
349,363,369,372,377,382,389,391,396,400,401,404,405,408,409,416,420,425,428,
432,435,448,458,462,475,477,480,482,485,486,534,545,554,558,571,575,707,771,
935,957,974,975,978,986,991,992,1001,1009,1016,1023,1024,1062,1064,1065,1066,
1070,1072,1073,1114,1488,1537,1538,1539,1542,1543,1544,1547,1902],[1,2,4,5,6,
7,8,12,13,14,15,16,20,21,23,29,30,31,34,36,38,44,50,74,76,78,79,82,85,89,90,
92,93,95,96,98,101,102,103,105,118,119,121,133,134,139,141,143,144,145,150,
159,174,179,180,185,187,268,271,273,282,291,320,321,336,338,349,356,370,376,
379,381,382,391,397,404,409,413,415,416,423,425,428,433,434,439,446,448,456,
462,465,467,472,475,477,481,534,545,555,557,572,574,706,712,922,923,941,942,
957,960,968,974,982,1002,1003,1006,1018,1057,1058,1061,1064,1066,1071,1073,
1125,1482,1535,1539,1546,1562,1565,1570,1571,1903],[1,2,4,5,6,7,8,12,13,15,16,
20,21,23,34,36,39,50,59,61,74,80,81,86,90,93,95,98,100,102,103,105,118,121,
129,130,131,132,133,139,141,143,144,159,176,178,180,185,188,215,225,268,271,
273,279,304,318,336,363,365,370,378,379,381,382,388,393,399,400,401,405,408,
412,419,427,432,439,453,456,458,464,473,475,477,480,481,485,487,534,546,557,
558,567,577,706,848,913,937,947,950,956,967,981,985,1004,1005,1009,1018,1024,
1055,1057,1058,1066,1067,1070,1072,1127,1485,1537,1541,1546,1554,1558,1564,
1576,1904],[1,2,3,6,7,8,10,11,12,13,14,20,21,23,25,32,33,36,38,39,44,48,52,53,
57,58,60,64,66,71,78,80,81,82,83,85,94,99,100,106,117,130,133,136,137,142,145,
146,175,178,179,185,187,188,189,204,210,218,269,274,293,294,298,307,310,322,
325,328,330,331,348,351,352,371,390,392,402,403,414,424,431,438,444,451,457,
460,466,468,469,470,471,478,531,553,565,566,567,570,571,574,702,817,824,878,
915,924,927,940,944,948,969,980,993,994,995,1045,1047,1048,1054,1060,1063,
1069,1134,1493,1511,1559,1568,1577,1580,1581,1583,1905],[1,3,4,5,6,7,9,17,18,
22,24,25,26,27,28,30,33,34,41,43,46,54,73,84,104,107,111,112,115,116,122,125,
127,128,135,140,149,152,154,155,156,158,160,161,163,166,181,196,217,287,362,
374,375,398,422,455,491,492,496,503,505,511,514,518,520,537,562,563,704,839,
917,931,962,996,999,1049,1137,1478,1528,1534,1573,1906],[1,3,4,5,6,7,9,17,18,
22,24,25,26,27,28,31,33,34,42,43,47,54,75,84,104,107,110,112,115,116,120,122,
125,128,140,147,149,151,153,157,162,163,164,166,167,168,181,194,217,287,362,
375,407,411,447,452,495,498,504,506,507,509,511,513,516,537,564,576,705,839,
920,1012,1017,1019,1025,1049,1128,1479,1528,1556,1561,1907],[1,2,4,5,6,7,8,10,
13,14,15,16,20,21,23,30,31,32,34,36,38,39,44,53,61,62,71,74,80,85,87,93,94,95,
96,101,105,106,117,118,119,121,130,131,132,133,134,139,141,143,144,145,159,
175,178,179,185,187,188,189,219,272,273,275,288,294,301,304,320,345,367,370,
372,376,377,381,386,388,395,397,401,404,408,412,413,420,423,425,427,428,436,
439,448,458,473,478,480,488,490,534,553,565,566,567,570,571,574,708,743,913,
922,923,926,935,939,950,958,965,971,978,1010,1013,1056,1057,1064,1065,1067,
1070,1071,1134,1481,1544,1545,1550,1553,1566,1570,1576,1908],[1,2,3,4,5,7,8,
10,11,12,13,14,15,16,21,23,24,27,28,34,36,40,48,49,50,53,55,62,68,69,70,72,74,
79,87,90,93,94,95,96,97,98,102,103,105,121,141,152,153,159,175,177,180,185,
189,202,206,228,232,233,234,235,241,249,250,264,266,268,271,272,273,275,286,
290,297,336,345,379,381,382,389,420,488,534,541,554,557,568,570,591,593,594,
630,631,644,695,701,706,707,708,1056,1057,1058,1062,1065,1066,1068,1101,1151,
1532,1546,1547,1548,1549,1566,1567,1909],[1,2,3,9,10,11,12,17,37,48,51,56,146,
181,184,203,331,335,337,544,683,1093,1152,1910],[1,2,4,5,7,9,10,13,14,15,16,
21,23,34,37,41,42,43,45,46,47,53,61,62,74,79,86,89,94,97,101,102,103,105,118,
121,139,141,143,144,150,159,182,183,184,190,191,192,193,194,195,196,198,219,
224,225,266,268,272,290,291,292,314,367,376,379,386,389,391,393,396,397,399,
401,408,409,413,416,419,423,435,456,458,462,480,481,487,488,549,559,578,579,
580,582,584,585,616,701,919,921,936,965,968,971,989,992,1002,1004,1005,1022,
1023,1075,1082,1088,1090,1095,1103,1107,1142,1483,1586,1596,1600,1609,1611,
1613,1616,1911],[1,2,4,5,7,9,10,13,14,15,16,21,23,34,37,41,42,43,45,46,47,53,
59,62,74,86,87,89,92,93,94,95,96,105,118,121,139,141,143,144,150,159,182,183,
184,190,191,192,193,194,195,196,198,213,215,216,272,273,275,292,295,338,345,
367,370,372,377,381,386,391,393,399,400,405,409,415,416,419,420,432,434,439,
446,462,472,485,487,488,547,559,578,579,580,582,584,585,615,708,921,936,937,
958,963,964,967,970,975,982,986,1003,1026,1079,1080,1085,1091,1098,1104,1106,
1142,1492,1585,1587,1589,1590,1593,1605,1619,1912],[1,2,3,4,5,7,9,10,11,12,15,
16,17,18,19,21,22,23,24,26,27,28,34,37,41,42,43,45,46,47,48,51,56,62,63,67,68,
69,70,72,73,75,90,91,94,98,105,107,109,110,114,115,116,123,124,127,128,141,
152,153,157,158,159,160,164,181,182,183,184,190,191,192,193,194,195,196,198,
200,201,203,230,232,235,239,240,248,250,251,264,276,277,281,285,286,300,302,
311,312,313,317,323,326,333,339,342,350,364,382,488,494,495,496,512,537,539,
544,559,562,563,564,576,578,579,580,582,584,585,589,620,695,730,738,749,758,
802,818,884,887,888,890,903,905,1076,1078,1081,1087,1089,1093,1097,1128,1131,
1137,1140,1142,1472,1594,1595,1599,1601,1606,1614,1615,1913],[1,2,3,6,7,8,10,
11,12,13,14,20,21,23,33,36,38,39,40,44,48,49,50,52,53,55,57,58,60,71,78,81,82,
83,86,89,94,99,100,117,130,133,136,137,142,145,146,150,174,175,176,177,178,
179,180,185,187,188,189,197,202,204,214,218,220,221,222,269,274,292,293,306,
331,348,351,356,357,365,373,392,402,403,406,410,414,424,431,444,450,451,457,
460,466,468,469,471,478,532,533,538,540,541,542,543,545,546,548,550,551,552,
553,554,555,556,557,558,561,565,566,567,568,569,570,571,572,573,574,575,577,
617,702,767,854,914,927,929,938,940,943,945,948,984,1011,1015,1051,1052,1053,
1077,1083,1084,1086,1092,1094,1096,1099,1100,1101,1102,1105,1108,1109,1110,
1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,
1126,1127,1129,1132,1134,1138,1491,1531,1588,1592,1597,1602,1603,1604,1607,
1608,1610,1612,1617,1618,1620,1621,1914],[1,2,4,9,15,21,35,37,41,47,61,105,
139,172,182,191,193,401,528,549,578,1041,1095,1626,1915],[1,2,7,9,10,21,23,35,
37,43,45,61,94,101,172,173,184,190,193,219,528,529,530,549,580,1040,1082,1626,
1916],[1,2,5,9,16,21,35,37,42,46,61,118,141,172,183,192,193,408,528,549,579,
1042,1090,1626,1917],[1,2,5,9,16,21,35,37,42,46,59,139,141,172,183,192,193,
400,528,547,579,1041,1098,1625,1918],[1,2,4,9,15,21,35,37,41,47,59,105,118,
172,182,191,193,405,528,547,578,1042,1091,1625,1919],[1,2,7,8,10,21,23,35,36,
44,74,94,121,172,173,175,187,188,272,528,529,530,534,566,1040,1056,1624,
1920],[1,2,8,13,21,35,36,74,86,118,172,176,185,188,393,528,534,577,1042,1055,
1624,1921],[1,2,8,14,21,35,36,74,89,139,172,174,188,189,462,528,534,575,1041,
1073,1624,1922],[1,2,7,9,10,21,23,35,37,43,45,59,92,94,172,173,184,190,193,
216,528,529,530,547,580,1040,1080,1625,1923],[1,2,7,9,10,21,23,29,35,37,43,45,
76,94,129,172,173,184,186,190,193,265,528,529,530,560,580,1040,1135,1143,1627,
1924],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,52,54,56,58,63,65,67,70,72,
74,77,78,84,88,94,98,100,104,121,123,128,136,138,140,146,199,203,204,205,206,
207,208,209,211,212,223,227,228,229,230,231,232,245,255,256,261,271,272,277,
287,309,311,312,317,327,331,335,337,351,354,358,403,414,421,424,460,586,587,
588,592,593,595,596,599,603,605,607,619,626,657,658,661,669,672,674,683,684,
685,687,700,715,761,784,809,811,813,860,862,866,880,887,894,940,1144,1145,
1158,1161,1163,1188,1189,1194,1213,1235,1237,1239,1243,1248,1250,1253,1314,
1632,1635,1662,1664,1677,1925],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,30,31,33,34,48,49,50,51,52,53,54,55,56,58,62,63,64,
65,66,67,68,69,70,71,72,73,74,75,77,78,79,81,82,83,84,87,88,90,91,93,94,95,96,
97,98,99,100,102,103,104,105,107,108,109,110,111,112,113,114,115,116,119,120,
121,122,123,124,126,127,128,131,132,134,135,136,137,138,140,141,142,147,149,
151,152,153,155,156,157,158,159,160,161,162,164,168,199,200,201,202,203,204,
205,206,207,208,209,210,211,212,223,226,227,228,229,230,231,232,233,234,235,
236,237,238,239,240,241,242,243,245,246,247,248,249,250,251,252,253,254,255,
256,257,259,260,261,262,263,264,266,268,269,271,272,273,274,275,276,277,278,
280,281,283,284,285,286,287,290,293,297,299,300,302,308,309,311,312,313,316,
317,323,326,327,333,336,339,340,341,342,344,345,347,348,350,351,353,354,355,
358,359,361,364,366,374,375,378,379,380,381,382,385,389,394,395,411,417,418,
420,421,422,430,440,441,447,454,457,459,467,471,476,479,482,488,491,494,495,
496,499,500,501,502,504,505,507,508,509,512,514,515,516,518,519,521,588,589,
590,591,592,593,594,595,596,597,599,602,603,605,606,607,608,610,612,618,619,
620,622,623,624,625,630,631,632,634,635,638,639,640,641,643,644,645,646,647,
648,651,652,654,655,657,658,659,661,662,663,664,665,668,672,674,675,676,677,
681,682,684,685,686,687,688,689,690,691,692,693,694,695,698,699,700,701,702,
706,707,708,710,719,720,721,723,727,728,729,730,733,737,738,739,741,745,746,
747,748,749,752,753,754,757,758,759,763,764,766,768,769,772,783,784,785,787,
790,791,794,802,805,807,808,810,811,812,814,815,816,818,819,821,822,825,827,
830,832,833,836,837,840,844,855,860,862,864,870,871,872,873,874,877,883,884,
885,886,887,888,889,890,894,901,903,905,907,910,911,977,996,997,1017,1020,
1027,1029,1145,1149,1150,1151,1154,1158,1160,1161,1166,1170,1174,1176,1177,
1190,1195,1196,1199,1202,1206,1209,1211,1217,1218,1220,1223,1226,1229,1230,
1231,1233,1234,1236,1239,1245,1248,1249,1250,1254,1257,1272,1274,1283,1284,
1290,1296,1304,1313,1314,1326,1328,1335,1337,1341,1344,1346,1357,1358,1367,
1379,1382,1403,1407,1410,1433,1437,1438,1441,1451,1452,1453,1454,1456,1457,
1458,1463,1464,1468,1469,1470,1471,1472,1475,1632,1633,1650,1659,1670,1671,
1673,1674,1675,1679,1705,1800,1926],[1,2,3,7,10,11,12,17,18,19,21,22,23,26,28,
48,51,52,54,56,57,58,60,63,65,67,70,72,74,77,78,84,88,91,94,98,100,104,121,
123,128,136,138,140,199,203,204,205,206,207,208,209,211,212,218,223,227,228,
229,230,231,232,236,243,244,245,248,255,256,258,261,271,272,277,287,309,311,
312,317,324,327,351,354,358,421,588,592,593,595,596,599,603,605,606,607,611,
614,619,657,658,661,672,674,684,685,687,696,700,773,784,786,811,857,860,862,
887,894,1145,1146,1158,1161,1173,1239,1247,1248,1250,1256,1276,1309,1314,1632,
1643,1656,1927],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,29,48,51,52,56,58,59,
61,63,67,70,72,76,78,84,88,92,94,98,100,101,123,128,129,136,146,199,203,204,
207,208,209,211,212,216,217,219,223,227,230,232,255,265,277,282,296,303,311,
312,315,317,331,335,337,351,354,363,403,414,424,442,460,483,586,587,588,595,
596,599,603,605,607,609,613,626,628,629,667,669,678,683,711,715,755,761,774,
775,809,813,862,866,880,887,940,1144,1147,1148,1152,1161,1163,1168,1175,1188,
1189,1208,1213,1232,1235,1243,1253,1273,1297,1310,1644,1645,1664,1698,1928],[
1,2,3,6,7,10,11,12,13,14,17,18,19,20,21,22,23,25,26,28,32,48,49,50,51,52,53,
55,56,57,58,60,63,64,66,67,70,71,72,78,80,81,82,83,84,85,86,88,89,91,94,98,99,
100,106,117,123,125,128,130,133,136,145,148,150,199,202,203,204,207,208,209,
210,211,212,214,218,220,221,222,223,227,230,232,236,238,243,244,246,248,252,
255,258,263,277,292,293,294,298,305,306,307,310,311,312,317,318,322,324,325,
328,330,334,346,349,351,352,354,356,357,362,365,390,406,438,443,450,461,463,
478,489,588,595,596,597,598,599,600,601,603,604,605,606,607,617,621,627,636,
642,650,653,666,673,679,696,697,750,762,767,773,780,781,796,801,817,823,826,
862,878,882,887,1153,1155,1157,1159,1161,1162,1165,1173,1197,1198,1221,1256,
1258,1276,1303,1305,1311,1642,1651,1656,1699,1781,1929],[1,2,3,4,5,6,7,10,11,
12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,33,34,48,51,52,56,57,58,60,62,63,
64,66,67,68,69,70,71,72,73,75,78,84,88,90,91,94,98,100,105,107,109,110,111,
114,115,116,120,123,124,125,127,128,135,136,137,141,142,147,148,152,153,154,
157,158,159,160,164,165,166,167,199,200,201,203,204,207,208,209,210,211,212,
218,223,227,230,232,235,236,239,240,243,244,247,248,250,251,253,254,255,257,
258,259,260,264,276,277,280,281,285,286,300,302,305,310,311,312,313,317,322,
323,324,326,328,330,333,339,340,342,347,348,350,351,354,362,364,366,368,382,
383,384,392,398,402,407,411,422,429,444,451,459,461,488,489,493,494,495,496,
497,503,506,510,512,513,520,522,588,589,595,596,599,602,603,605,606,607,620,
624,625,637,641,643,645,648,652,655,656,662,664,670,675,677,680,682,691,695,
696,710,716,730,734,738,739,749,753,757,758,762,770,780,788,798,802,808,810,
812,814,818,825,829,831,840,855,859,862,878,879,882,884,887,888,889,890,897,
903,905,927,931,952,953,954,972,976,1019,1021,1028,1030,1154,1161,1167,1169,
1170,1174,1193,1195,1197,1198,1199,1200,1204,1218,1228,1231,1254,1255,1282,
1303,1378,1379,1380,1382,1396,1397,1400,1429,1430,1451,1455,1472,1642,1659,
1661,1722,1743,1760,1772,1798,1930],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,48,49,50,51,52,53,55,56,57,58,59,
60,61,62,63,64,66,67,68,69,70,71,72,73,75,76,78,79,80,81,82,83,84,85,86,87,88,
89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,106,108,112,113,117,119,122,
123,126,128,129,130,131,132,133,134,135,136,137,142,145,146,147,149,150,151,
155,156,157,160,161,162,168,169,170,199,200,201,202,203,204,207,208,209,210,
211,212,213,214,215,216,218,219,220,221,222,223,224,225,226,227,230,232,233,
234,236,237,238,240,241,242,243,244,246,248,249,250,252,254,255,258,260,262,
263,265,267,269,270,274,277,278,279,281,282,283,284,288,290,291,292,293,294,
295,297,298,299,301,302,303,304,306,307,308,310,311,312,313,314,315,316,317,
318,319,320,321,322,324,325,328,330,331,332,333,334,335,336,337,338,340,341,
344,345,346,348,349,351,352,353,354,355,356,357,359,361,363,365,369,371,373,
374,378,387,390,392,394,395,402,403,406,410,414,418,424,430,431,433,436,437,
438,440,441,442,443,444,445,447,449,450,451,453,454,457,460,463,464,465,466,
467,468,469,470,471,474,476,478,479,482,483,484,486,490,514,516,519,521,588,
589,590,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,612,615,
616,617,618,621,622,624,627,628,629,634,635,636,638,639,640,642,644,646,647,
650,653,654,655,662,663,665,666,667,673,678,679,683,686,688,691,693,694,696,
697,702,703,709,712,714,717,718,720,723,725,726,727,729,740,741,742,743,744,
750,751,752,755,756,758,760,761,763,764,767,768,770,771,774,775,781,785,786,
787,791,792,793,796,799,800,801,809,817,821,823,824,826,827,831,832,837,848,
853,854,857,862,866,870,872,873,878,879,880,881,886,887,895,897,898,901,908,
910,912,914,915,916,918,924,925,927,929,932,933,934,938,940,943,944,945,948,
949,951,955,969,973,977,980,983,984,993,994,995,1011,1015,1147,1149,1153,1155,
1157,1159,1160,1161,1162,1165,1166,1170,1175,1176,1177,1179,1180,1189,1208,
1210,1212,1219,1221,1228,1229,1232,1258,1259,1265,1273,1274,1275,1277,1283,
1290,1294,1295,1297,1299,1305,1308,1309,1310,1311,1312,1317,1321,1326,1330,
1332,1340,1341,1342,1349,1353,1363,1366,1369,1372,1373,1388,1404,1411,1414,
1425,1426,1431,1445,1446,1450,1458,1459,1460,1463,1474,1491,1493,1628,1644,
1646,1650,1651,1657,1658,1669,1678,1700,1708,1709,1717,1783,1785,1792,1795,
1931],[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,
30,31,33,48,49,50,51,52,53,55,56,57,58,60,62,63,64,66,67,68,69,70,71,72,73,75,
78,79,81,82,83,84,87,88,90,91,93,94,95,96,97,98,99,100,102,103,108,112,113,
119,122,123,126,128,131,132,134,135,136,137,142,146,147,149,151,154,155,156,
157,160,161,162,165,166,167,168,199,200,201,202,203,204,207,208,209,210,211,
212,217,218,223,226,227,230,232,233,234,236,237,238,240,241,242,243,244,246,
248,249,250,252,254,255,258,260,262,263,269,274,277,278,281,283,284,290,293,
296,297,299,302,308,310,311,312,313,316,317,322,324,328,330,331,333,335,336,
337,340,341,344,345,348,351,353,354,355,359,361,368,371,373,374,378,383,384,
392,394,395,398,402,407,410,418,429,430,440,441,444,447,451,454,457,467,470,
471,476,479,482,514,516,519,521,588,589,590,595,596,597,599,602,603,605,606,
607,608,612,613,618,622,624,627,634,635,637,638,639,640,642,644,646,647,650,
654,655,656,662,663,665,666,670,680,683,686,688,691,693,694,696,702,704,705,
711,714,715,716,718,720,723,727,729,734,736,741,752,756,758,763,764,768,770,
774,775,785,787,788,791,798,800,813,821,824,827,829,831,832,835,837,854,859,
862,870,872,873,878,879,881,886,887,897,901,910,912,927,930,946,977,1000,1148,
1149,1160,1161,1166,1167,1168,1169,1170,1176,1177,1181,1184,1193,1200,1204,
1210,1221,1228,1229,1243,1246,1247,1255,1273,1274,1282,1283,1290,1306,1308,
1323,1326,1333,1340,1341,1363,1366,1393,1432,1436,1445,1458,1463,1465,1629,
1645,1647,1648,1650,1653,1661,1700,1714,1718,1739,1932],[1,2,3,7,10,11,12,17,
18,19,21,22,23,28,48,51,52,56,58,63,67,70,72,78,84,88,94,98,100,123,128,136,
143,144,146,199,203,204,207,208,209,211,212,217,223,227,230,232,255,277,296,
311,312,317,331,335,337,343,351,354,360,367,475,588,595,596,599,603,605,607,
613,626,633,649,669,683,711,715,774,775,789,813,862,868,887,1148,1156,1161,
1163,1168,1172,1194,1237,1243,1270,1273,1298,1645,1652,1662,1933],[1,2,3,6,7,
10,11,12,17,18,19,20,21,22,23,25,28,33,48,51,52,54,56,57,58,60,63,64,65,66,67,
70,71,72,74,77,78,84,88,94,98,100,104,121,123,128,135,136,137,138,140,142,147,
154,163,165,166,167,199,203,204,205,206,207,208,209,210,211,212,218,223,227,
228,229,230,231,232,244,245,254,255,256,258,260,261,271,272,277,287,309,310,
311,312,317,322,324,327,328,330,340,348,351,354,358,368,383,384,392,398,402,
407,421,426,429,444,451,452,455,492,498,511,517,588,592,593,595,596,599,602,
603,605,607,619,637,656,657,658,661,670,672,674,680,684,685,687,696,700,716,
722,734,765,770,784,788,798,811,829,831,858,859,860,862,878,879,887,894,897,
927,966,987,988,999,1007,1008,1014,1025,1145,1158,1161,1167,1169,1193,1200,
1204,1228,1239,1244,1248,1250,1255,1282,1301,1302,1314,1345,1362,1381,1386,
1398,1423,1442,1461,1632,1639,1661,1676,1712,1731,1761,1805,1934],[1,2,3,4,5,
7,10,11,12,15,16,17,18,19,21,22,23,24,26,27,28,34,48,51,52,56,57,58,60,62,63,
67,68,69,70,72,73,75,78,84,88,90,91,94,98,100,105,107,109,110,111,114,115,116,
120,123,124,127,128,136,141,146,152,153,157,158,159,160,164,199,200,201,203,
204,207,208,209,211,212,218,223,227,230,232,235,236,239,240,243,244,247,248,
250,251,253,255,257,258,259,264,276,277,280,281,285,286,300,302,311,312,313,
317,323,324,326,331,333,335,337,339,342,347,350,351,354,364,366,382,411,422,
459,488,494,495,496,512,588,589,595,596,599,603,605,606,607,611,614,620,624,
625,626,641,643,645,648,652,655,662,664,669,675,677,682,683,691,695,696,710,
730,738,739,749,753,756,757,758,773,786,802,808,810,812,814,818,825,840,855,
857,862,881,884,887,888,889,890,903,905,1146,1154,1161,1163,1170,1173,1174,
1194,1195,1199,1210,1218,1231,1237,1247,1254,1300,1309,1350,1379,1382,1448,
1451,1472,1638,1643,1659,1662,1737,1935],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,48,49,50,51,52,53,55,56,57,58,60,
62,63,64,66,67,68,69,70,71,72,73,75,78,79,81,82,83,84,87,88,90,91,93,94,95,96,
97,98,99,100,102,103,108,112,113,119,122,123,126,128,131,132,134,135,136,137,
142,146,147,149,151,155,156,157,160,161,162,168,199,200,201,202,203,204,207,
208,209,210,211,212,214,218,220,221,222,223,226,227,230,232,233,234,236,237,
238,240,241,242,243,244,246,248,249,250,252,254,255,258,260,262,263,269,274,
277,278,281,283,284,290,293,297,299,302,308,310,311,312,313,316,317,322,324,
328,330,331,333,335,336,337,340,341,344,345,348,351,353,354,355,359,361,374,
378,394,395,403,414,418,424,430,440,441,447,454,457,460,467,471,476,479,482,
514,516,519,521,586,587,588,589,590,595,596,597,599,602,603,605,606,607,608,
611,612,614,617,618,621,622,624,626,634,635,636,638,639,640,644,646,647,654,
655,662,663,665,669,673,683,686,688,691,693,694,696,697,702,715,716,720,723,
727,729,740,741,752,756,758,761,763,764,768,773,781,785,786,787,788,791,796,
809,813,821,827,829,832,837,857,859,862,866,870,872,873,878,880,881,886,887,
901,908,910,940,977,1000,1144,1146,1149,1160,1161,1163,1166,1170,1173,1176,
1177,1178,1182,1183,1185,1186,1187,1188,1189,1210,1213,1229,1235,1243,1246,
1247,1253,1255,1258,1259,1274,1283,1290,1300,1309,1326,1341,1342,1353,1369,
1388,1458,1463,1630,1631,1637,1638,1643,1650,1664,1668,1669,1739,1768,1936],[
1,2,3,7,10,11,12,17,18,19,21,22,23,28,29,48,51,52,54,56,58,59,61,63,65,67,70,
72,74,76,77,78,84,88,92,94,98,100,101,104,121,123,128,129,136,138,140,143,144,
146,199,203,204,205,206,207,208,209,211,212,216,219,223,227,228,229,230,231,
232,245,255,256,261,265,271,272,277,282,287,303,309,311,312,315,317,327,331,
335,337,343,351,354,358,360,363,367,397,403,413,414,415,421,424,432,442,458,
460,472,475,480,483,485,588,592,593,595,596,599,603,605,607,609,619,628,629,
633,649,657,658,661,667,672,674,678,683,684,685,687,700,755,761,774,775,779,
782,784,789,795,803,806,809,811,838,847,849,860,862,866,868,880,887,894,940,
960,964,965,1009,1145,1147,1156,1158,1161,1172,1175,1189,1191,1203,1207,1208,
1232,1239,1241,1248,1250,1263,1269,1270,1273,1286,1297,1298,1310,1314,1315,
1351,1354,1392,1440,1632,1644,1652,1685,1693,1702,1728,1734,1774,1937],[1,2,3,
4,5,7,10,11,12,15,16,17,18,19,21,22,23,24,26,27,28,34,48,51,52,56,58,62,63,67,
68,69,70,72,73,75,78,84,88,90,91,94,98,100,105,107,109,110,111,114,115,116,
120,123,124,127,128,136,141,146,152,153,157,158,159,160,164,199,200,201,203,
204,207,208,209,211,212,223,227,230,232,235,236,239,240,243,247,248,250,251,
253,255,257,259,264,276,277,280,281,285,286,300,302,311,312,313,317,323,326,
331,333,335,337,339,342,347,350,351,354,364,366,382,403,411,414,422,424,459,
460,488,494,495,496,512,586,587,588,589,595,596,599,603,605,606,607,620,624,
625,626,641,643,645,648,652,655,662,664,669,675,677,682,683,691,695,710,715,
730,738,739,749,753,757,758,761,773,802,808,809,810,812,813,814,818,825,840,
855,862,866,880,884,887,888,889,890,903,905,940,1144,1154,1161,1163,1170,1173,
1174,1178,1187,1188,1189,1195,1199,1213,1218,1231,1235,1243,1253,1254,1256,
1276,1350,1379,1382,1448,1451,1472,1630,1656,1659,1664,1737,1738,1763,1786,
1938],[1,2,3,4,5,7,10,11,12,15,16,17,18,19,21,22,23,24,26,27,28,34,48,51,52,
56,58,62,63,67,68,69,70,72,73,75,78,84,88,90,91,94,98,100,105,107,109,110,111,
114,115,116,120,123,124,127,128,136,141,146,152,153,157,158,159,160,163,164,
199,200,201,203,204,207,208,209,211,212,217,223,227,230,232,235,236,239,240,
243,247,248,250,251,253,255,257,259,264,276,277,280,281,285,286,296,300,302,
311,312,313,317,323,326,331,333,335,337,339,342,347,350,351,354,364,366,382,
411,422,426,452,455,459,488,494,495,496,512,588,589,595,596,599,603,605,606,
607,613,620,624,625,641,643,645,648,652,655,662,664,675,677,682,683,691,695,
710,711,715,722,730,738,739,749,753,757,758,765,774,775,802,808,810,812,813,
814,818,825,840,855,858,862,884,887,888,889,890,903,905,961,962,998,1012,1148,
1154,1161,1168,1170,1174,1195,1199,1218,1231,1243,1244,1254,1273,1301,1302,
1370,1375,1379,1382,1428,1451,1467,1472,1639,1645,1659,1721,1758,1939],[1,2,3,
4,5,7,10,11,12,15,16,17,18,19,21,22,23,24,26,27,28,29,34,48,51,52,56,58,59,61,
62,63,67,68,69,70,72,73,75,76,78,84,88,90,91,92,94,98,100,101,105,107,109,110,
111,114,115,116,118,120,123,124,127,128,129,136,139,141,146,152,153,157,158,
159,160,164,199,200,201,203,204,207,208,209,211,212,216,219,223,227,230,232,
235,236,239,240,243,247,248,250,251,253,255,257,259,264,265,276,277,280,281,
282,285,286,289,300,302,303,311,312,313,315,317,323,326,329,331,333,335,337,
339,342,347,350,351,354,363,364,366,376,382,386,400,401,403,405,408,411,414,
422,423,424,434,442,446,459,460,477,483,488,494,495,496,512,588,589,595,596,
599,603,605,606,607,609,620,624,625,628,629,641,643,645,648,652,655,660,662,
664,667,671,675,677,678,682,683,691,695,710,724,730,738,739,749,753,755,757,
758,761,774,775,777,778,802,804,808,809,810,812,814,818,820,825,828,840,842,
845,850,855,862,866,880,884,887,888,889,890,891,903,905,940,942,970,971,1024,
1147,1154,1161,1164,1170,1171,1174,1175,1189,1195,1199,1205,1208,1214,1215,
1218,1227,1231,1232,1242,1251,1254,1273,1278,1287,1292,1293,1297,1310,1318,
1364,1379,1382,1427,1443,1451,1472,1640,1644,1659,1684,1690,1711,1727,1740,
1744,1940],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,32,34,48,49,50,51,52,53,55,56,57,58,60,62,63,64,66,67,68,69,70,71,72,73,
75,78,80,81,82,83,84,85,86,88,89,90,91,94,98,99,100,105,106,107,109,110,111,
114,115,116,117,120,123,124,127,128,130,133,136,141,143,144,145,150,152,153,
157,158,159,160,164,199,200,201,202,203,204,207,208,209,210,211,212,214,218,
220,221,222,223,227,230,232,235,236,238,239,240,243,244,246,247,248,250,251,
252,253,255,257,258,259,263,264,276,277,280,281,285,286,292,293,294,298,300,
302,306,307,310,311,312,313,317,318,322,323,324,325,326,328,330,333,334,339,
342,343,346,347,349,350,351,352,354,356,357,360,364,365,366,367,382,388,390,
391,399,404,406,409,411,419,422,427,428,438,443,450,459,463,475,478,488,494,
495,496,512,588,589,595,596,597,598,599,600,601,603,604,605,606,607,617,620,
621,624,625,627,633,636,641,642,643,645,648,649,650,652,653,655,662,664,666,
673,675,677,679,682,691,695,696,697,710,730,735,738,739,749,750,753,757,758,
767,776,781,789,796,801,802,808,810,812,814,817,818,823,825,826,840,843,855,
856,862,868,878,884,887,888,889,890,896,900,903,905,906,909,921,926,956,957,
1153,1154,1155,1156,1157,1159,1161,1162,1165,1170,1172,1174,1195,1199,1216,
1218,1221,1231,1252,1254,1258,1266,1268,1270,1280,1288,1289,1291,1298,1305,
1311,1356,1359,1379,1382,1389,1390,1451,1472,1649,1651,1652,1659,1660,1663,
1665,1710,1729,1769,1778,1941],[1,2,3,6,7,10,11,12,17,18,19,20,21,22,23,25,26,
28,29,33,48,51,52,56,57,58,59,60,61,63,64,66,67,70,71,72,76,78,84,88,91,92,94,
98,100,101,123,128,129,135,136,137,142,146,147,151,154,156,165,166,167,199,
203,204,207,208,209,210,211,212,216,218,219,223,227,230,232,236,243,244,248,
254,255,258,260,265,277,282,284,303,310,311,312,315,317,322,324,328,330,331,
335,337,340,341,348,351,354,355,361,363,368,383,384,392,398,402,403,407,414,
424,429,442,444,451,460,483,588,595,596,599,600,602,603,604,605,606,607,609,
611,614,628,629,637,640,656,665,667,670,678,679,680,683,696,716,731,732,734,
736,752,755,761,770,773,774,775,786,787,788,798,809,829,831,835,857,859,862,
866,878,879,880,887,897,927,940,1000,1146,1147,1155,1161,1166,1167,1169,1173,
1175,1189,1193,1200,1204,1208,1228,1232,1246,1247,1255,1273,1282,1297,1299,
1300,1306,1307,1309,1310,1312,1316,1329,1368,1409,1450,1643,1644,1658,1661,
1668,1680,1697,1714,1784,1942],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,48,51,
52,54,56,58,63,65,67,70,72,74,77,78,84,88,94,98,100,104,121,123,125,128,136,
138,140,146,148,199,203,204,205,206,207,208,209,211,212,217,223,227,228,229,
230,231,232,245,255,256,261,271,272,277,287,296,305,309,311,312,317,327,331,
335,337,351,354,358,362,421,461,489,588,592,593,595,596,599,603,605,607,613,
619,657,658,661,672,674,683,684,685,687,700,711,715,762,774,775,780,784,811,
813,839,846,851,860,862,876,882,887,894,1145,1148,1158,1161,1168,1197,1198,
1239,1243,1248,1250,1273,1303,1314,1322,1384,1399,1417,1632,1642,1645,1770,
1771,1943],[1,2,3,6,7,10,11,12,13,14,17,18,19,20,21,22,23,25,28,32,33,48,49,
50,51,52,53,55,56,57,58,60,63,64,66,67,70,71,72,78,80,81,82,83,84,85,86,88,89,
94,98,99,100,106,117,123,128,130,133,135,136,137,142,145,146,147,150,154,165,
166,167,199,202,203,204,207,208,209,210,211,212,214,218,220,221,222,223,227,
230,232,238,244,246,252,254,255,258,260,263,269,274,277,292,293,294,298,306,
307,310,311,312,317,318,322,324,325,328,330,331,334,335,337,340,346,348,349,
351,352,354,356,357,365,368,371,373,383,384,390,392,398,402,403,406,407,410,
414,424,429,431,438,443,444,450,451,457,460,463,466,468,469,470,471,478,586,
587,588,590,595,596,597,598,599,600,601,602,603,604,605,607,608,611,612,614,
617,621,626,627,636,637,642,650,653,654,656,666,669,670,673,679,680,683,696,
697,702,709,714,715,716,718,731,732,734,736,750,761,767,770,781,788,796,798,
800,801,809,813,817,823,824,826,829,831,835,853,854,859,862,866,878,879,880,
887,895,897,898,912,914,915,924,927,929,938,940,943,944,945,948,969,980,984,
993,994,995,1011,1015,1144,1146,1149,1153,1155,1157,1159,1161,1162,1163,1165,
1167,1169,1182,1183,1185,1186,1188,1189,1193,1200,1204,1213,1219,1221,1228,
1235,1243,1253,1255,1258,1282,1305,1306,1307,1308,1311,1316,1323,1324,1329,
1331,1332,1334,1339,1349,1368,1372,1391,1393,1404,1409,1411,1431,1432,1434,
1435,1436,1446,1466,1474,1491,1493,1631,1651,1661,1664,1696,1697,1717,1718,
1759,1764,1765,1767,1775,1797,1810,1944],[1,2,3,6,7,10,11,12,13,14,17,18,19,
20,21,22,23,25,28,32,48,49,50,51,52,53,55,56,57,58,60,63,64,66,67,70,71,72,78,
80,81,82,83,84,85,86,88,89,94,98,99,100,106,117,123,128,130,133,136,145,146,
150,163,199,202,203,204,207,208,209,210,211,212,214,218,220,221,222,223,227,
230,232,238,244,246,252,255,258,263,277,292,293,294,298,306,307,310,311,312,
317,318,322,324,325,328,330,331,334,335,337,346,349,351,352,354,356,357,365,
390,406,426,438,443,450,452,455,463,478,588,595,596,597,598,599,600,601,603,
604,605,607,617,621,626,627,636,642,650,653,666,669,673,679,683,696,697,722,
750,765,767,781,796,801,817,823,826,858,862,878,887,1153,1155,1157,1159,1161,
1162,1163,1165,1194,1221,1237,1244,1258,1301,1302,1305,1311,1639,1651,1662,
1689,1777,1945],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,30,31,33,48,49,50,51,52,53,55,56,58,62,63,64,66,67,68,69,70,71,72,
73,75,78,79,81,82,83,84,87,88,90,91,93,94,95,96,97,98,99,100,102,103,108,112,
113,119,122,123,126,128,131,132,134,135,136,137,142,146,147,149,151,155,156,
157,160,161,162,168,199,200,201,202,203,204,207,208,209,210,211,212,223,226,
227,230,232,233,234,236,237,238,240,241,242,243,246,248,249,250,252,254,255,
260,262,263,269,274,277,278,281,283,284,290,293,297,299,302,308,311,312,313,
316,317,331,333,335,336,337,340,341,344,345,348,351,353,354,355,359,361,374,
378,394,395,418,430,440,441,447,454,457,467,471,476,479,482,514,516,519,521,
588,589,590,595,596,597,599,602,603,605,606,607,608,612,618,622,624,626,634,
635,638,639,640,644,646,647,654,655,662,663,665,669,683,686,688,691,693,694,
702,720,723,727,729,740,741,752,758,763,764,768,773,785,787,791,821,827,832,
837,862,870,872,873,886,887,901,908,910,977,1000,1149,1160,1161,1163,1166,
1170,1173,1176,1177,1194,1229,1237,1246,1256,1259,1274,1276,1283,1290,1326,
1341,1350,1448,1458,1463,1637,1650,1656,1662,1737,1946],[1,2,3,6,7,10,11,12,
17,18,19,20,21,22,23,25,28,33,48,51,52,56,57,58,60,63,64,66,67,70,71,72,78,84,
88,94,98,100,118,123,128,135,136,137,139,142,146,147,154,165,166,167,199,203,
204,207,208,209,210,211,212,218,223,227,230,232,244,254,255,258,260,277,289,
310,311,312,317,322,324,328,329,330,331,335,337,340,348,351,354,368,383,384,
386,392,398,402,407,429,444,451,477,588,595,596,599,602,603,605,607,626,637,
656,660,669,670,671,680,683,696,716,724,734,770,788,798,828,829,831,859,862,
878,879,887,897,927,1161,1163,1164,1167,1169,1171,1193,1194,1200,1204,1205,
1214,1228,1237,1255,1282,1640,1661,1662,1691,1754,1947],[1,2,3,7,10,11,12,17,
18,19,21,22,23,26,28,29,48,51,52,56,58,59,61,63,67,70,72,76,78,84,88,91,92,94,
98,100,101,123,128,129,136,146,163,199,203,204,207,208,209,211,212,216,219,
223,227,230,232,236,243,248,255,265,277,282,303,311,312,315,317,331,335,337,
351,354,363,403,414,424,426,442,452,455,460,483,588,595,596,599,603,605,606,
607,609,628,629,667,678,683,722,755,761,765,773,774,775,809,858,862,866,880,
887,940,1147,1161,1173,1175,1189,1208,1232,1244,1256,1273,1276,1297,1301,1302,
1310,1639,1644,1656,1806,1948],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,30,31,33,48,49,50,51,52,53,55,56,58,62,63,64,66,67,
68,69,70,71,72,73,75,78,79,81,82,83,84,87,88,90,91,93,94,95,96,97,98,99,100,
102,103,108,112,113,119,122,123,125,126,128,131,132,134,135,136,137,142,147,
148,149,151,155,156,157,160,161,162,163,168,199,200,201,202,203,204,207,208,
209,210,211,212,223,226,227,230,232,233,234,236,237,238,240,241,242,243,246,
248,249,250,252,254,255,260,262,263,269,274,277,278,281,283,284,290,293,297,
299,302,305,308,311,312,313,316,317,333,336,340,341,344,345,348,351,353,354,
355,359,361,362,374,378,394,395,418,426,430,440,441,447,452,454,455,457,461,
467,471,476,479,482,489,514,516,519,521,588,589,590,595,596,597,599,602,603,
605,606,607,608,612,618,622,624,634,635,638,639,640,644,646,647,654,655,662,
663,665,686,688,691,693,694,702,720,722,723,727,729,741,752,758,762,763,764,
765,768,780,785,787,791,821,827,832,837,858,862,870,872,873,882,886,887,901,
910,917,920,928,977,979,1149,1160,1161,1166,1170,1176,1177,1197,1198,1229,
1244,1274,1283,1290,1301,1302,1303,1326,1341,1347,1361,1447,1458,1463,1473,
1639,1642,1650,1730,1750,1949],[1,2,3,7,10,11,12,17,18,19,21,22,23,26,28,48,
51,52,56,58,63,67,70,72,78,84,88,91,94,98,100,118,123,128,136,139,146,199,203,
204,207,208,209,211,212,217,223,227,230,232,236,243,248,255,277,289,296,311,
312,317,329,331,335,337,351,354,386,477,588,595,596,599,603,605,606,607,613,
660,671,683,711,715,724,773,774,775,813,828,862,887,1148,1161,1164,1168,1171,
1173,1205,1214,1243,1256,1273,1276,1640,1645,1656,1950],[1,2,3,6,7,10,11,12,
13,14,17,18,19,20,21,22,23,25,26,28,32,48,49,50,51,52,53,55,56,57,58,60,63,64,
66,67,70,71,72,78,80,81,82,83,84,85,86,88,89,91,94,98,99,100,106,108,112,117,
123,128,130,133,136,145,146,150,199,202,203,204,207,208,209,210,211,212,214,
217,218,220,221,222,223,227,230,232,236,238,243,244,246,248,252,255,258,263,
277,283,292,293,294,296,298,299,306,307,310,311,312,317,318,322,324,325,328,
330,331,334,335,337,344,346,349,351,352,354,356,357,359,365,390,406,431,438,
443,450,463,466,468,469,478,588,595,596,597,598,599,600,601,603,604,605,606,
607,611,613,614,617,621,622,627,634,636,642,650,653,656,666,670,673,679,683,
693,694,696,697,709,711,715,731,732,740,750,767,773,774,775,781,786,796,801,
813,817,823,826,853,857,862,872,878,887,895,898,908,948,1146,1148,1153,1155,
1157,1159,1161,1162,1165,1168,1169,1173,1177,1219,1221,1243,1247,1258,1259,
1273,1300,1305,1307,1309,1311,1339,1373,1391,1414,1434,1459,1460,1466,1643,
1645,1648,1651,1678,1732,1767,1768,1784,1951],[1,2,3,6,7,10,11,12,13,14,17,18,
19,20,21,22,23,25,28,32,48,49,50,51,52,53,54,55,56,57,58,60,63,64,65,66,67,70,
71,72,74,77,78,80,81,82,83,84,85,86,88,89,94,98,99,100,104,106,117,118,121,
123,128,130,133,136,138,139,140,145,150,199,202,203,204,205,206,207,208,209,
210,211,212,214,218,220,221,222,223,227,228,229,230,231,232,238,244,245,246,
252,255,256,258,261,263,271,272,277,287,289,292,293,294,298,306,307,309,310,
311,312,317,318,322,324,325,327,328,329,330,334,346,349,351,352,354,356,357,
358,365,386,390,393,406,412,416,421,425,438,443,448,450,462,463,473,477,478,
487,588,592,593,595,596,597,598,599,600,601,603,604,605,607,617,619,621,627,
636,642,650,653,657,658,660,661,666,671,672,673,674,679,684,685,687,696,697,
700,713,724,750,767,781,784,796,797,801,811,817,823,826,828,834,841,852,860,
861,862,878,887,894,899,904,936,974,985,1013,1145,1153,1155,1157,1158,1159,
1161,1162,1164,1165,1171,1192,1201,1205,1214,1221,1222,1224,1225,1239,1240,
1248,1250,1258,1271,1285,1305,1311,1314,1355,1360,1365,1374,1632,1636,1640,
1641,1651,1654,1655,1686,1687,1688,1715,1952],[1,2,3,7,10,11,12,17,18,19,21,
22,23,26,28,48,51,52,56,57,58,60,63,67,70,72,78,84,88,91,94,98,100,118,123,
125,128,136,139,148,199,203,204,207,208,209,211,212,218,223,227,230,232,236,
243,244,248,255,258,277,289,305,311,312,317,324,329,351,354,362,386,461,477,
489,588,595,596,599,603,605,606,607,611,614,660,671,696,724,762,773,780,786,
828,857,862,882,887,1146,1161,1164,1171,1173,1197,1198,1205,1214,1247,1303,
1309,1640,1642,1643,1953],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,30,31,33,48,49,50,51,52,53,55,56,58,62,63,64,66,67,68,69,
70,71,72,73,75,78,79,81,82,83,84,87,88,90,91,93,94,95,96,97,98,99,100,102,103,
108,112,113,118,119,122,123,126,128,131,132,134,135,136,137,139,142,143,144,
147,149,151,155,156,157,160,161,162,168,199,200,201,202,203,204,207,208,209,
210,211,212,223,226,227,230,232,233,234,236,237,238,240,241,242,243,246,248,
249,250,252,254,255,260,262,263,269,274,277,278,281,283,284,289,290,293,297,
299,302,308,311,312,313,316,317,329,333,336,340,341,343,344,345,348,351,353,
354,355,359,360,361,367,370,372,374,377,378,386,394,395,396,418,430,435,439,
440,441,447,454,456,457,467,471,475,476,477,479,481,482,514,516,519,521,588,
589,590,595,596,597,599,602,603,605,606,607,608,612,618,622,624,633,634,635,
638,639,640,644,646,647,649,654,655,660,662,663,665,671,686,688,691,693,694,
702,720,723,724,727,729,741,752,758,763,764,768,785,787,789,791,821,827,828,
832,837,862,863,865,867,868,869,870,872,873,875,886,887,892,893,901,902,910,
919,958,977,1016,1018,1149,1156,1160,1161,1164,1166,1170,1171,1172,1176,1177,
1205,1214,1229,1238,1260,1261,1262,1264,1267,1270,1274,1279,1281,1283,1290,
1298,1326,1341,1352,1385,1401,1408,1458,1463,1640,1650,1652,1701,1742,1746,
1751,1753,1782,1954],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,29,48,51,52,56,58,
59,61,63,67,70,72,76,78,84,88,92,94,98,100,101,123,125,128,129,136,146,148,
199,203,204,207,208,209,211,212,216,219,223,227,230,232,255,265,277,282,303,
305,311,312,315,317,331,335,337,351,354,362,363,403,414,424,442,460,461,483,
489,588,595,596,599,603,605,607,609,626,628,629,667,669,678,683,755,761,762,
774,775,780,809,862,866,880,882,887,940,1147,1161,1163,1175,1189,1194,1197,
1198,1208,1232,1237,1273,1297,1303,1310,1642,1644,1662,1809,1955],[1,2,3,7,10,
11,12,17,18,19,21,22,23,28,48,51,52,56,58,63,67,70,72,78,84,88,94,98,100,123,
125,128,136,143,144,146,148,199,203,204,207,208,209,211,212,223,227,230,232,
255,277,305,311,312,317,331,335,337,343,351,354,360,362,367,403,414,424,460,
461,475,489,586,587,588,595,596,599,603,605,607,626,633,649,669,683,715,761,
762,780,789,809,813,862,866,868,880,882,887,940,1144,1156,1161,1163,1172,1188,
1189,1197,1198,1213,1235,1243,1253,1270,1298,1303,1642,1652,1664,1741,1766,
1956],[1,2,3,6,7,10,11,12,17,18,19,20,21,22,23,25,26,28,33,48,51,52,56,57,58,
60,63,64,66,67,70,71,72,78,84,88,91,94,98,100,123,128,135,136,137,142,143,144,
147,154,165,166,167,199,203,204,207,208,209,210,211,212,218,223,227,230,232,
236,243,244,248,254,255,258,260,277,310,311,312,317,322,324,328,330,340,343,
348,351,354,360,367,368,383,384,392,398,402,407,429,444,451,475,588,595,596,
599,602,603,605,606,607,633,637,649,656,670,680,696,716,734,770,773,788,789,
798,829,831,859,862,868,878,879,887,897,927,1156,1161,1167,1169,1172,1173,
1193,1200,1204,1228,1255,1256,1270,1276,1282,1298,1652,1656,1661,1752,1762,
1957],[1,2,3,7,10,11,12,17,18,19,21,22,23,26,28,48,51,52,56,57,58,60,63,67,70,
72,78,84,88,91,94,98,100,123,128,136,143,144,163,199,203,204,207,208,209,211,
212,218,223,227,230,232,236,243,244,248,255,258,277,311,312,317,324,343,351,
354,360,367,426,452,455,475,588,595,596,599,603,605,606,607,611,614,633,649,
696,722,765,773,786,789,857,858,862,868,887,1146,1156,1161,1172,1173,1244,
1247,1270,1298,1301,1302,1309,1639,1643,1652,1958],[1,2,3,7,10,11,12,17,18,19,
21,22,23,28,48,51,52,56,58,63,67,70,72,78,84,88,94,98,100,118,123,128,136,139,
146,163,199,203,204,207,208,209,211,212,223,227,230,232,255,277,289,311,312,
317,329,331,335,337,351,354,386,403,414,424,426,452,455,460,477,586,587,588,
595,596,599,603,605,607,626,660,669,671,683,715,722,724,761,765,809,813,828,
858,862,866,880,887,940,1144,1161,1163,1164,1171,1188,1189,1205,1213,1214,
1235,1243,1244,1253,1301,1302,1639,1640,1664,1716,1755,1959],[1,2,3,6,7,11,12,
13,18,19,20,21,22,23,28,33,50,52,56,57,58,60,63,64,67,70,72,77,78,81,85,86,99,
100,104,121,130,137,138,139,140,142,146,163,165,166,199,207,208,209,211,221,
222,223,228,231,245,252,258,261,269,277,289,310,312,324,327,328,330,334,337,
340,352,358,365,371,373,383,392,403,414,424,425,426,431,451,457,460,468,487,
492,498,586,595,598,604,605,608,614,626,627,636,637,656,671,672,684,709,714,
715,731,736,761,781,784,813,829,831,834,858,859,860,861,866,984,988,993,994,
1014,1015,1158,1159,1164,1183,1188,1193,1194,1235,1237,1240,1285,1301,1316,
1323,1339,1349,1386,1423,1435,1641,1677,1696,1731,1754,1755,1777,1960],[1,2,3,
6,11,12,14,18,19,20,21,33,49,52,54,56,57,58,60,64,65,67,72,74,80,82,83,89,100,
117,137,139,142,146,163,165,166,199,205,206,207,208,214,220,223,229,238,244,
256,274,289,306,307,312,322,324,328,330,337,340,346,383,392,410,424,426,451,
460,462,466,469,470,471,473,511,517,586,595,600,601,611,612,619,621,626,637,
642,656,657,671,715,716,718,732,796,829,831,835,852,858,866,898,899,938,943,
944,966,980,987,1145,1162,1164,1186,1188,1193,1194,1222,1224,1301,1324,1329,
1332,1362,1391,1432,1461,1635,1655,1689,1754,1755,1761,1775,1961],[1,2,3,4,5,
6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,34,
48,49,50,51,53,55,56,59,61,62,63,64,66,67,68,69,70,71,72,73,74,75,76,77,78,79,
80,81,82,83,85,86,87,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,
106,107,109,110,113,114,115,116,117,118,119,121,122,123,124,126,127,128,129,
130,131,132,133,134,136,138,139,140,141,143,144,145,149,150,151,152,153,155,
156,157,158,159,160,161,162,164,168,169,170,200,201,202,203,206,207,210,211,
213,215,216,219,224,225,226,227,228,229,230,232,233,234,235,237,238,239,240,
241,242,245,246,248,249,250,251,252,253,256,257,261,262,263,264,265,266,267,
268,270,271,272,273,275,276,277,278,279,280,281,282,283,284,285,286,288,289,
290,291,292,293,294,295,297,298,300,301,302,303,304,306,307,308,311,312,313,
314,315,316,317,318,319,320,321,323,325,326,327,329,332,333,334,336,338,339,
341,342,343,345,346,349,350,351,352,353,354,355,356,357,358,359,360,361,363,
364,365,367,369,370,372,376,377,378,379,381,382,386,387,388,389,390,391,393,
395,396,397,399,400,401,404,405,406,408,409,412,413,415,416,419,420,423,425,
427,428,430,432,433,434,435,436,437,438,439,440,441,442,443,445,446,448,449,
450,453,454,456,458,462,463,464,465,467,472,473,474,475,476,477,478,479,480,
481,482,483,484,485,486,487,488,490,494,495,496,499,501,504,505,507,508,512,
515,518,589,591,593,594,596,597,598,601,609,615,616,620,623,625,628,630,631,
632,633,635,638,644,645,646,649,651,653,657,659,660,661,663,664,668,671,672,
674,676,677,678,681,682,687,688,689,690,692,694,695,698,699,700,701,703,706,
707,708,710,712,713,717,719,720,723,724,725,726,730,733,735,737,738,741,742,
743,744,746,747,749,750,751,754,755,758,760,763,764,767,771,772,776,777,778,
779,782,783,787,789,792,793,795,797,799,801,802,803,804,805,806,807,808,811,
816,817,818,820,823,826,827,828,832,834,836,837,838,841,842,843,844,845,847,
848,849,850,852,856,860,861,863,864,865,867,868,869,871,873,874,875,884,885,
887,888,890,891,892,893,896,899,900,901,902,903,904,905,906,907,909,910,913,
916,918,919,921,922,923,925,926,932,933,934,935,936,937,939,941,942,947,949,
950,951,955,956,957,958,959,960,963,964,965,967,968,970,971,973,974,975,977,
978,981,982,983,985,986,989,990,991,992,1001,1002,1003,1004,1005,1006,1009,
1010,1013,1016,1018,1022,1023,1024,1026,1147,1151,1165,1176,1179,1180,1190,
1191,1192,1199,1201,1202,1205,1206,1207,1209,1212,1215,1217,1222,1226,1227,
1234,1236,1239,1240,1241,1245,1249,1252,1257,1260,1261,1262,1264,1266,1269,
1270,1275,1278,1287,1288,1289,1304,1318,1319,1320,1321,1325,1326,1327,1330,
1336,1338,1343,1348,1351,1352,1354,1355,1356,1359,1360,1364,1365,1371,1374,
1376,1377,1383,1385,1387,1389,1390,1392,1394,1395,1401,1402,1405,1406,1408,
1412,1413,1415,1416,1418,1419,1420,1421,1422,1424,1426,1427,1438,1439,1440,
1441,1443,1444,1449,1454,1457,1462,1471,1472,1477,1480,1481,1482,1483,1485,
1488,1492,1628,1675,1684,1692,1704,1713,1715,1719,1720,1723,1724,1734,1742,
1778,1779,1790,1793,1794,1796,1799,1801,1803,1807,1962],[1,2,3,4,5,6,7,11,12,
13,14,15,16,18,19,20,21,23,24,25,26,27,30,31,32,50,52,54,55,56,57,59,61,64,65,
66,67,68,69,72,74,78,80,81,82,85,86,87,90,91,92,93,95,97,98,99,100,101,102,
103,105,106,107,108,109,112,113,114,115,116,117,118,119,122,124,126,129,130,
131,132,133,134,136,137,141,143,144,146,149,150,199,205,206,207,208,215,221,
225,229,233,234,235,237,240,242,243,246,252,253,254,256,257,258,264,266,268,
269,273,274,275,279,281,283,285,295,298,300,301,302,303,304,307,312,314,315,
316,318,320,321,323,328,329,332,334,335,336,341,342,343,344,347,352,353,354,
356,360,361,363,364,365,370,373,375,377,378,380,385,390,392,393,397,399,402,
404,405,406,408,414,417,419,423,424,428,430,435,437,441,445,446,448,449,453,
454,463,464,466,468,470,472,474,479,480,481,482,483,484,485,490,590,591,594,
595,598,604,610,619,623,625,627,628,629,632,633,636,646,649,651,657,660,662,
664,665,681,686,689,690,693,713,735,738,740,741,748,749,750,751,753,754,756,
760,769,770,775,776,778,779,786,791,792,793,800,803,809,812,820,821,832,833,
840,842,843,847,848,849,850,853,856,864,869,873,874,875,892,902,904,911,922,
924,929,932,934,941,951,963,967,978,980,984,991,1004,1022,1145,1159,1171,1190,
1192,1203,1207,1208,1211,1212,1225,1238,1241,1242,1252,1254,1257,1261,1263,
1264,1268,1272,1277,1278,1280,1281,1283,1287,1288,1292,1294,1298,1299,1342,
1343,1363,1367,1373,1376,1377,1395,1402,1411,1413,1415,1419,1437,1633,1654,
1695,1704,1706,1707,1724,1725,1727,1745,1769,1774,1776,1782,1783,1963],[1,2,3,
6,7,11,12,14,18,19,20,21,22,23,28,33,49,52,56,57,58,60,63,64,67,70,72,77,78,
80,82,83,89,100,104,117,118,121,137,138,140,142,146,163,165,166,199,207,208,
209,211,214,220,223,228,231,238,244,245,261,274,277,306,307,312,322,324,327,
328,329,330,337,340,346,358,383,392,403,410,412,414,416,424,426,451,460,466,
469,470,471,492,498,586,595,600,601,605,611,612,621,626,637,642,656,660,672,
684,715,716,718,732,761,784,796,797,813,829,831,835,841,858,860,866,898,938,
943,944,980,988,1014,1158,1162,1171,1186,1188,1193,1194,1201,1235,1237,1271,
1301,1324,1329,1332,1386,1391,1423,1432,1636,1677,1689,1691,1716,1731,1775,
1964],[1,2,3,6,7,10,11,12,13,14,17,18,19,20,21,22,23,25,26,28,32,33,48,49,50,
51,52,53,55,56,57,58,60,63,64,66,67,70,71,72,78,80,81,82,83,84,85,86,88,89,91,
94,98,99,100,106,108,112,117,130,133,135,136,137,142,145,146,147,150,151,154,
156,165,166,167,199,202,203,204,207,208,209,210,211,212,214,218,220,221,222,
223,227,230,232,236,238,243,244,246,248,252,254,255,258,260,263,269,274,283,
284,292,293,294,298,299,306,307,310,318,322,324,325,328,330,331,334,335,337,
340,341,344,346,348,349,351,352,354,355,356,357,359,361,365,368,371,373,383,
384,390,392,398,402,403,406,407,410,414,424,429,431,438,443,444,450,451,457,
460,463,466,468,469,470,471,478,588,590,596,597,598,599,601,602,606,608,612,
617,621,622,626,627,629,634,636,637,640,642,650,653,654,665,666,667,669,673,
680,683,693,694,696,697,702,709,711,714,715,716,718,731,732,734,736,740,750,
752,761,767,770,773,774,775,781,786,787,788,796,798,800,801,809,813,817,823,
824,826,829,831,835,853,854,857,859,866,872,878,879,880,895,897,898,908,912,
914,915,924,927,929,938,940,943,944,945,948,969,980,984,993,994,995,1000,1011,
1015,1149,1152,1163,1165,1166,1167,1168,1173,1175,1177,1189,1219,1221,1228,
1243,1246,1247,1255,1258,1259,1265,1273,1277,1300,1306,1307,1308,1309,1323,
1324,1331,1332,1333,1334,1349,1372,1373,1393,1404,1411,1414,1425,1431,1432,
1435,1436,1446,1459,1460,1465,1474,1491,1493,1637,1646,1653,1668,1678,1680,
1698,1714,1717,1718,1732,1759,1768,1780,1965],[1,2,3,4,5,6,7,10,11,12,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,48,51,54,56,57,60,62,63,64,65,
66,67,68,69,70,71,72,73,75,77,84,88,90,91,94,98,104,105,107,108,109,110,111,
112,113,114,115,116,119,120,122,123,124,125,126,127,128,131,132,134,135,137,
138,140,141,142,146,147,148,149,151,152,153,155,156,157,158,159,160,161,162,
163,164,168,200,201,203,205,208,209,210,218,226,229,230,231,232,235,237,239,
240,242,244,245,247,248,250,251,254,255,256,258,259,260,261,262,264,276,277,
278,281,284,285,286,287,299,300,302,305,308,309,311,312,313,316,317,323,324,
326,327,331,333,335,337,339,340,341,342,344,347,348,350,353,355,358,361,362,
364,366,374,375,380,382,385,394,395,411,417,418,421,422,426,430,447,452,455,
459,461,488,489,491,494,495,496,499,500,501,502,504,505,507,508,509,512,514,
515,516,518,519,521,589,592,599,602,618,619,620,622,623,632,639,641,643,647,
648,652,656,658,659,663,670,674,675,683,684,685,686,695,696,699,700,711,721,
722,727,728,729,730,733,736,738,739,745,746,747,748,749,753,756,758,759,762,
765,768,769,780,784,785,787,791,794,802,805,815,816,818,819,821,822,833,835,
836,837,844,858,864,870,871,874,877,881,882,884,886,887,888,890,894,903,905,
917,920,928,979,996,997,1017,1020,1027,1029,1160,1168,1169,1195,1196,1197,
1210,1217,1223,1230,1233,1244,1248,1284,1306,1322,1337,1347,1367,1384,1386,
1397,1403,1428,1429,1447,1453,1456,1457,1458,1461,1467,1468,1472,1475,1647,
1670,1712,1722,1750,1758,1771,1966],[1,2,3,4,5,6,7,11,12,13,14,15,16,18,19,20,
21,22,23,24,25,26,27,28,30,31,32,34,50,52,55,56,57,59,61,63,64,66,67,68,69,70,
72,77,78,79,80,81,82,85,86,87,90,91,92,93,95,96,97,98,99,100,101,102,103,104,
105,106,107,108,109,110,111,112,113,114,115,116,117,119,120,121,122,124,126,
127,129,130,131,132,133,134,136,137,138,139,140,141,143,144,146,149,150,151,
152,153,155,156,158,159,161,162,164,168,199,207,208,209,211,215,221,225,226,
228,231,233,234,235,237,239,240,241,242,243,245,246,247,249,251,252,253,254,
257,258,259,261,262,264,269,274,276,277,278,279,280,281,283,284,285,286,289,
295,298,299,300,301,302,303,304,307,308,312,314,315,316,318,320,321,323,326,
327,328,332,334,335,336,339,341,342,343,344,347,350,352,353,354,355,356,358,
359,360,361,363,364,365,372,373,376,378,379,381,389,390,392,396,399,400,401,
402,404,406,413,414,415,419,420,424,425,428,430,432,434,437,439,441,445,449,
453,454,456,458,463,464,466,467,468,470,474,479,482,483,484,487,490,491,499,
500,501,502,504,505,507,508,509,515,518,590,595,598,604,605,625,627,628,629,
630,631,633,634,635,636,640,641,646,647,649,652,659,662,664,665,668,671,672,
676,684,686,692,693,698,699,719,720,721,728,730,733,735,737,738,740,741,745,
746,747,749,750,751,753,756,759,760,764,766,768,770,772,775,776,777,782,783,
784,785,786,790,791,792,793,794,795,800,804,805,806,807,808,809,812,814,815,
816,818,819,821,822,825,830,832,834,836,838,840,843,844,845,848,853,856,860,
861,863,865,867,871,873,877,883,885,891,893,907,923,924,929,932,934,935,937,
951,980,984,989,1001,1005,1006,1026,1158,1159,1164,1191,1202,1208,1212,1215,
1227,1229,1231,1236,1240,1251,1252,1254,1260,1262,1267,1268,1269,1277,1279,
1280,1283,1285,1286,1288,1293,1294,1296,1298,1299,1313,1315,1319,1325,1335,
1338,1342,1344,1358,1363,1373,1387,1406,1407,1411,1416,1418,1438,1454,1456,
1462,1468,1470,1475,1641,1667,1671,1681,1682,1690,1693,1713,1720,1748,1753,
1757,1769,1773,1783,1967],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,30,31,32,33,34,48,49,50,51,53,55,56,62,63,64,66,67,68,69,
70,71,72,74,77,78,80,81,82,83,85,86,89,90,91,94,98,99,100,104,105,106,107,108,
111,112,113,114,115,117,118,119,120,121,122,123,124,126,128,130,131,132,133,
134,135,136,137,138,139,140,141,142,143,144,145,146,147,149,150,151,152,153,
155,156,157,158,159,160,161,162,164,168,202,203,206,207,210,211,226,227,228,
229,230,232,235,236,237,238,242,243,245,246,247,248,250,252,253,254,256,257,
259,260,261,262,263,264,271,272,276,277,278,280,281,284,285,286,289,292,293,
294,298,299,300,302,306,307,308,311,312,313,316,317,318,323,325,326,327,329,
331,333,334,335,337,339,340,341,343,344,346,347,348,349,350,351,352,353,354,
355,356,357,358,360,361,364,365,367,371,373,382,386,388,390,391,393,395,399,
404,406,409,410,412,416,419,425,427,428,430,438,443,448,450,462,463,470,473,
475,477,478,487,488,491,499,500,502,504,508,509,514,516,518,519,521,593,596,
597,598,601,602,606,622,625,629,633,640,643,645,649,653,657,660,661,663,664,
665,667,668,671,672,674,676,677,681,682,683,687,689,695,700,710,713,714,718,
721,724,727,729,733,735,737,740,745,746,747,750,752,757,758,759,766,767,768,
769,772,776,785,787,789,790,791,797,800,801,808,810,811,812,814,815,816,817,
821,822,823,824,825,826,828,830,833,834,836,837,840,841,843,852,854,855,856,
860,861,864,868,870,871,874,877,884,886,887,889,896,899,900,904,905,906,908,
909,911,912,921,926,936,956,957,974,985,1013,1165,1166,1175,1192,1199,1201,
1203,1205,1211,1220,1222,1234,1238,1239,1240,1242,1251,1252,1259,1263,1265,
1266,1267,1270,1272,1277,1279,1281,1286,1288,1289,1292,1293,1296,1308,1313,
1315,1328,1355,1356,1358,1359,1360,1365,1374,1382,1389,1390,1403,1407,1410,
1425,1452,1457,1458,1464,1646,1672,1674,1681,1683,1685,1701,1706,1707,1711,
1715,1736,1747,1773,1778,1968],[1,2,3,4,5,6,7,11,12,13,14,15,16,18,19,20,21,
23,24,25,26,27,30,31,32,49,52,54,55,56,59,60,61,64,65,66,67,68,69,72,74,78,79,
80,81,82,83,85,87,89,90,91,92,95,96,97,98,100,101,103,105,106,107,108,109,112,
113,114,115,116,117,119,122,124,126,129,130,131,132,134,136,137,139,141,143,
144,145,146,149,150,199,205,206,207,208,213,214,224,229,233,234,235,237,238,
240,242,243,244,246,253,254,256,257,264,266,268,269,273,274,275,279,281,283,
285,288,289,291,297,300,301,302,303,304,306,307,312,315,316,319,323,325,330,
332,335,338,341,342,343,344,346,347,349,352,353,354,357,360,361,363,364,369,
371,372,375,376,378,380,385,387,388,391,396,397,400,401,409,410,414,417,424,
427,430,431,434,436,437,438,439,440,444,445,450,451,456,462,463,467,469,472,
473,474,476,480,482,483,484,485,486,590,591,594,595,600,601,610,619,621,623,
625,628,629,632,633,642,646,649,651,657,662,664,665,671,681,686,689,690,693,
725,726,738,741,744,748,749,753,754,769,771,775,777,779,791,799,803,804,809,
812,821,823,827,832,833,840,845,847,849,852,857,863,864,865,867,874,879,881,
891,893,895,896,899,900,906,908,909,911,912,916,925,932,938,939,945,947,950,
959,968,969,986,992,994,1003,1145,1162,1164,1190,1203,1207,1208,1211,1215,
1216,1222,1224,1227,1241,1251,1254,1257,1260,1262,1263,1265,1266,1267,1272,
1275,1279,1283,1289,1291,1293,1295,1298,1312,1366,1367,1369,1371,1383,1394,
1404,1420,1422,1424,1437,1439,1444,1459,1633,1655,1690,1692,1703,1723,1726,
1729,1733,1735,1736,1747,1753,1774,1785,1969],[1,2,3,4,5,6,7,11,12,13,14,15,
16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,49,51,55,56,57,58,59,61,
63,64,66,67,68,69,70,72,73,74,78,79,80,81,82,83,84,85,87,88,89,90,91,92,93,95,
96,97,98,99,100,101,103,106,108,109,110,111,112,114,115,116,117,118,119,120,
121,123,126,128,129,130,131,132,134,135,136,137,138,139,140,141,142,144,145,
146,147,149,150,151,152,153,156,157,158,159,160,161,162,168,200,206,207,209,
212,213,220,224,227,228,229,231,233,234,235,236,237,238,239,240,241,242,243,
246,247,253,254,255,256,257,258,259,260,261,262,263,268,275,276,277,278,279,
280,283,284,285,286,288,289,291,297,299,301,302,303,304,306,307,308,310,311,
312,313,315,316,317,319,323,325,326,327,329,332,333,335,338,339,341,342,343,
344,346,347,349,352,354,355,357,358,359,361,363,364,366,369,370,371,372,374,
376,378,381,387,388,389,392,397,400,402,403,408,409,410,411,412,415,416,418,
430,435,436,437,438,440,441,445,446,450,456,457,458,460,462,463,466,467,468,
471,473,474,476,482,483,484,485,486,491,496,500,501,507,512,516,519,594,601,
604,607,624,625,628,629,631,632,634,638,639,641,645,646,647,648,649,654,655,
657,658,659,660,665,666,671,672,676,681,687,689,690,692,697,698,710,720,721,
723,725,726,727,728,729,738,739,741,744,745,746,752,754,756,757,768,769,770,
771,772,774,777,779,784,786,790,797,799,805,806,807,811,812,816,818,819,821,
822,823,825,827,830,836,838,841,842,849,850,852,853,855,862,864,865,869,872,
875,877,880,883,886,889,890,891,893,894,896,899,900,901,903,907,908,910,911,
912,913,915,916,925,932,939,943,947,968,982,986,990,993,1011,1023,1153,1154,
1172,1201,1202,1203,1207,1214,1222,1225,1226,1227,1233,1242,1257,1261,1262,
1265,1266,1267,1268,1269,1272,1274,1275,1278,1281,1285,1286,1293,1294,1299,
1310,1313,1314,1327,1328,1340,1344,1346,1348,1371,1379,1388,1394,1405,1412,
1420,1422,1433,1441,1452,1453,1456,1460,1463,1474,1649,1667,1672,1679,1686,
1692,1695,1702,1708,1740,1745,1747,1751,1757,1779,1970],[1,2,3,4,6,11,12,14,
15,17,20,21,22,24,26,33,49,51,52,56,57,58,60,63,64,69,72,75,80,82,83,89,91,
100,105,117,120,125,127,137,142,143,146,148,154,160,167,201,207,209,212,214,
220,223,236,238,251,253,258,259,264,274,281,306,307,310,317,322,324,328,333,
337,339,340,346,360,364,391,392,410,424,427,429,451,460,461,466,469,470,471,
493,510,513,520,587,601,604,607,612,614,633,652,664,666,669,670,680,691,697,
718,731,736,773,788,796,802,813,831,855,859,866,882,898,906,909,938,943,944,
952,953,980,1153,1156,1174,1185,1187,1200,1213,1276,1280,1289,1303,1316,1331,
1332,1393,1429,1448,1455,1466,1660,1741,1752,1763,1764,1772,1781,1971],[1,2,3,
4,5,6,7,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,33,34,48,
51,56,57,59,60,61,62,63,64,66,67,68,69,70,71,72,74,76,77,78,90,91,92,94,98,
100,101,104,105,107,108,111,112,113,114,115,118,119,120,121,122,123,124,126,
128,129,131,132,134,135,136,137,138,139,140,141,142,143,144,147,149,151,152,
153,155,156,157,158,159,160,161,162,164,168,203,206,207,210,211,216,218,219,
226,227,228,229,230,232,235,236,237,242,243,244,245,247,248,250,253,254,256,
257,258,259,260,261,262,264,265,271,272,276,277,278,280,281,282,284,285,286,
289,299,300,302,303,308,311,312,313,315,316,317,323,324,326,327,329,333,339,
340,341,343,344,347,348,350,351,353,354,355,358,360,361,363,364,367,376,382,
386,392,395,397,400,401,402,405,408,413,415,423,430,432,434,442,444,446,451,
458,472,475,477,480,483,485,488,491,499,500,502,504,508,509,514,516,518,519,
521,593,596,600,602,604,606,609,622,625,628,633,640,643,645,649,657,660,661,
663,664,665,668,671,672,674,676,677,678,679,681,682,687,689,695,696,700,710,
721,724,727,729,733,737,745,746,747,752,755,757,758,759,766,768,769,770,772,
777,778,779,782,785,786,787,789,790,791,795,803,804,806,808,810,811,812,814,
815,816,820,821,822,825,828,830,831,833,836,837,838,840,842,845,847,849,850,
855,857,860,864,868,870,871,874,877,879,884,886,887,889,891,897,905,911,927,
942,960,964,965,970,971,1009,1024,1147,1155,1166,1191,1199,1205,1207,1211,
1215,1216,1220,1224,1225,1227,1228,1234,1238,1239,1241,1267,1268,1269,1270,
1271,1272,1278,1279,1280,1281,1285,1287,1291,1296,1299,1309,1312,1313,1318,
1328,1351,1354,1358,1364,1382,1392,1403,1407,1410,1427,1440,1443,1450,1452,
1457,1458,1464,1658,1666,1667,1674,1682,1684,1688,1694,1701,1703,1710,1734,
1735,1745,1776,1972],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,48,49,50,51,53,54,55,56,57,60,62,63,64,65,66,67,68,69,70,71,72,
77,79,81,82,83,84,87,88,90,91,93,94,95,96,97,98,99,102,103,104,107,108,109,
110,111,112,113,114,115,116,120,122,123,124,125,126,127,128,138,140,148,149,
151,156,157,158,160,161,163,164,168,202,203,205,208,209,210,217,218,229,230,
231,232,233,234,236,238,239,241,243,244,245,246,247,248,249,250,251,252,253,
255,256,257,258,259,261,263,276,277,278,280,281,283,284,285,287,290,293,296,
297,299,300,302,305,308,309,311,312,313,316,317,323,324,326,327,333,336,339,
341,342,344,345,347,350,353,355,358,359,361,362,364,366,375,380,385,411,417,
421,422,426,452,455,459,461,489,491,500,502,509,592,597,599,606,610,613,619,
620,622,627,634,641,642,643,644,648,650,651,652,656,658,666,670,674,675,677,
684,685,690,692,693,694,696,698,700,719,720,721,722,723,728,739,741,745,748,
753,754,757,758,759,762,763,764,765,766,769,780,783,784,787,790,794,807,810,
812,814,815,819,822,825,830,832,833,837,839,840,846,851,855,858,872,876,877,
882,883,884,885,887,889,894,901,905,907,910,911,961,962,998,1012,1148,1150,
1169,1177,1195,1197,1220,1221,1230,1244,1247,1248,1249,1304,1326,1335,1344,
1346,1357,1361,1370,1375,1382,1386,1397,1399,1403,1417,1429,1433,1437,1461,
1469,1470,1473,1648,1705,1712,1721,1722,1730,1770,1973],[1,2,3,4,5,6,7,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,49,51,55,56,57,
58,59,61,63,64,66,67,68,69,70,72,74,75,78,79,80,81,82,83,84,85,87,88,89,90,91,
92,95,96,97,98,99,100,101,102,103,105,106,107,108,109,111,112,113,116,117,118,
119,120,121,122,123,124,127,128,129,130,131,132,134,135,136,137,138,139,140,
142,143,145,146,147,150,151,152,153,155,156,157,159,160,161,164,168,201,206,
207,209,212,213,220,224,226,227,228,229,231,233,234,236,237,238,240,242,243,
246,247,249,251,253,254,255,256,257,258,259,260,261,263,264,266,273,277,278,
279,280,281,283,284,286,288,289,291,297,299,300,301,303,304,306,307,308,310,
311,312,313,315,317,319,323,325,326,327,329,332,333,335,338,339,341,342,344,
346,347,349,350,352,353,354,355,357,358,359,360,361,363,364,369,371,377,378,
379,387,391,392,394,396,401,402,403,405,410,412,413,416,420,422,423,427,430,
432,434,436,437,438,439,440,445,447,450,457,459,460,462,463,466,467,468,471,
472,473,474,476,479,480,481,482,483,484,486,494,495,502,505,509,514,515,521,
591,601,604,607,618,623,624,628,629,630,633,634,646,647,651,652,654,657,658,
660,664,665,666,668,671,672,675,681,682,687,688,689,691,692,697,698,699,710,
721,723,725,726,727,730,737,739,744,746,749,752,754,756,759,763,764,770,771,
774,778,782,783,784,785,786,790,791,794,795,797,799,802,803,804,810,811,814,
815,819,820,823,827,830,832,833,836,840,841,844,845,847,852,853,855,862,863,
867,870,871,872,874,877,880,883,885,886,888,889,892,894,899,902,906,908,909,
910,911,912,915,916,925,932,943,950,959,975,981,992,993,1002,1003,1010,1011,
1153,1156,1174,1190,1191,1201,1211,1214,1215,1222,1223,1225,1236,1238,1241,
1245,1251,1260,1263,1264,1265,1274,1275,1279,1280,1285,1287,1289,1292,1294,
1296,1299,1310,1314,1315,1320,1328,1336,1337,1340,1341,1383,1388,1421,1424,
1433,1439,1444,1449,1451,1460,1464,1469,1470,1471,1474,1475,1660,1673,1682,
1683,1686,1708,1719,1723,1725,1728,1736,1744,1746,1748,1776,1974],[1,2,3,4,5,
6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,48,49,
50,51,52,53,55,56,57,58,60,62,63,64,66,67,68,69,70,71,72,73,75,78,79,81,82,83,
84,87,88,90,91,93,94,95,96,97,98,99,100,102,103,113,119,122,126,131,132,134,
135,136,137,142,146,147,149,155,157,160,161,162,168,199,200,201,202,203,204,
207,208,209,210,211,212,214,218,220,221,222,223,226,227,230,232,233,234,236,
237,238,240,241,242,243,244,246,248,249,250,252,254,255,258,260,262,263,278,
281,290,293,297,302,308,310,313,316,322,324,328,330,331,333,335,336,337,340,
345,348,351,353,354,371,373,374,378,392,394,395,402,403,410,414,418,424,430,
431,440,441,444,447,451,454,460,466,467,468,469,470,476,479,482,588,589,596,
597,599,600,602,604,606,611,614,617,618,621,624,626,627,629,635,636,638,639,
642,644,646,647,650,655,656,662,663,666,667,669,670,673,679,683,686,688,691,
696,697,709,711,714,715,716,718,731,732,736,740,756,758,761,770,774,775,781,
786,788,796,800,809,813,824,827,829,831,835,837,853,854,857,859,866,873,878,
879,880,881,895,897,898,908,912,927,940,948,977,1000,1146,1152,1155,1160,1163,
1168,1169,1170,1175,1176,1189,1210,1219,1221,1228,1243,1246,1247,1255,1258,
1259,1273,1294,1295,1300,1306,1307,1308,1309,1316,1317,1324,1329,1331,1334,
1339,1340,1342,1353,1363,1366,1368,1369,1388,1391,1409,1434,1435,1445,1466,
1634,1638,1647,1657,1669,1680,1697,1698,1700,1732,1739,1759,1767,1780,1784,
1975],[1,2,3,4,6,11,12,13,15,17,20,21,22,24,26,33,50,51,52,56,57,58,60,63,64,
69,72,75,81,85,86,91,99,100,105,120,125,127,130,137,142,144,146,148,154,160,
167,201,207,209,212,221,222,223,236,244,251,252,253,259,264,269,281,310,317,
322,324,330,333,334,337,339,340,343,352,364,365,371,373,392,419,424,428,429,
431,451,457,460,461,468,493,510,513,520,587,598,600,607,608,611,649,650,652,
664,669,670,673,680,691,709,714,716,732,773,776,781,788,802,813,831,835,855,
856,866,882,952,953,984,993,994,1015,1157,1172,1174,1182,1187,1200,1213,1276,
1288,1291,1303,1329,1334,1349,1429,1434,1436,1448,1455,1663,1699,1762,1763,
1765,1766,1772,1976],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,30,31,34,48,49,50,51,53,55,56,57,60,62,63,64,66,67,68,69,70,71,
72,73,74,75,77,78,79,81,82,83,87,90,91,93,94,95,96,97,98,99,100,102,103,104,
105,107,109,110,113,114,115,116,118,119,121,122,123,124,126,127,128,131,132,
134,136,138,139,140,141,143,144,146,149,151,152,153,155,156,157,158,159,160,
161,162,164,168,200,201,202,203,206,207,210,211,218,226,227,228,229,230,232,
233,234,235,237,238,239,240,241,242,244,245,246,248,249,250,251,252,253,256,
257,258,261,262,263,264,266,268,271,272,273,275,276,277,278,280,281,283,284,
285,286,289,290,293,297,300,302,308,311,312,313,316,317,323,324,326,327,329,
331,333,335,336,337,339,341,342,343,345,350,351,353,354,355,358,359,360,361,
364,367,370,372,377,378,379,381,382,386,389,395,396,420,430,431,435,439,440,
441,454,456,466,467,468,469,475,476,477,479,481,482,488,494,495,496,499,501,
504,505,507,508,512,515,518,589,591,593,594,596,597,600,604,620,623,625,629,
630,631,632,633,635,638,644,645,646,649,651,657,659,660,661,663,664,667,668,
671,672,674,676,677,679,681,682,683,687,688,689,690,692,694,695,696,698,699,
700,701,706,707,708,709,710,719,720,723,724,730,733,737,738,741,746,747,749,
754,756,758,763,764,772,783,787,789,802,805,807,808,811,816,818,827,828,832,
836,837,844,853,860,863,864,865,867,868,869,871,873,874,875,881,884,885,887,
888,890,892,893,895,898,901,902,903,905,907,910,919,948,958,977,1016,1018,
1151,1155,1175,1176,1190,1199,1202,1203,1205,1206,1209,1210,1216,1217,1219,
1224,1225,1226,1234,1236,1239,1242,1245,1249,1251,1257,1260,1261,1262,1263,
1264,1268,1270,1271,1280,1285,1286,1291,1292,1293,1294,1295,1304,1315,1317,
1326,1352,1385,1401,1408,1438,1441,1454,1457,1471,1472,1657,1675,1685,1688,
1695,1710,1711,1725,1726,1733,1742,1748,1749,1756,1757,1977],[1,2,3,5,6,11,12,
14,16,17,20,21,22,26,27,33,49,51,52,56,57,58,60,63,64,68,72,73,80,82,83,89,91,
100,110,111,117,125,137,141,142,144,146,148,154,157,167,200,207,209,212,214,
220,223,235,236,238,239,247,257,258,274,302,306,307,310,313,317,322,323,324,
326,328,337,340,343,346,388,392,409,410,424,429,451,460,461,466,469,470,471,
497,503,506,522,587,601,604,607,612,614,625,641,649,655,666,669,670,680,697,
718,731,736,773,788,796,813,831,859,866,882,889,890,896,898,900,938,943,944,
954,976,980,1153,1154,1172,1178,1185,1200,1213,1266,1268,1276,1303,1316,1331,
1332,1350,1393,1396,1397,1466,1649,1738,1743,1762,1764,1766,1781,1978],[1,2,3,
4,5,6,7,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,32,33,34,
50,51,55,56,58,59,60,61,63,64,66,67,68,69,70,72,73,74,78,79,80,81,82,83,84,85,
86,87,88,90,91,92,93,95,97,98,99,100,101,102,103,106,108,109,110,111,112,114,
115,116,117,118,119,120,121,123,126,128,129,130,131,132,133,134,135,136,137,
138,139,140,141,142,143,146,147,149,150,151,152,153,156,157,158,159,160,161,
162,168,200,206,207,209,212,215,222,225,227,228,229,231,233,234,235,236,237,
239,240,241,242,243,244,246,247,252,253,254,255,256,257,259,260,261,262,263,
268,275,276,277,278,279,280,283,284,285,286,289,295,298,299,301,302,303,304,
307,308,311,312,313,314,315,316,317,318,320,321,322,323,326,327,329,332,333,
334,335,336,339,341,342,344,347,352,354,355,356,358,359,360,361,363,364,365,
366,373,374,376,377,378,381,389,390,393,396,399,400,403,404,406,408,411,413,
418,425,430,431,432,437,439,440,441,444,445,446,448,449,451,453,454,457,460,
463,464,469,470,471,472,474,479,480,481,482,483,484,487,490,491,496,500,501,
507,512,516,519,594,598,600,607,624,625,628,629,631,632,633,634,638,639,641,
645,646,647,648,650,654,655,657,658,659,660,665,671,672,673,676,681,687,689,
690,692,698,710,713,720,721,723,727,728,729,735,738,739,740,741,745,746,750,
751,752,754,757,760,768,769,772,774,777,782,784,790,792,793,795,800,803,805,
807,811,812,816,818,819,821,822,825,830,834,836,842,843,847,848,850,855,857,
861,862,863,864,867,872,873,877,879,880,881,883,886,889,890,891,892,894,895,
901,902,903,904,907,910,911,914,923,932,934,937,941,944,951,963,978,989,995,
1001,1004,1015,1154,1156,1157,1191,1192,1202,1212,1214,1216,1224,1226,1227,
1233,1238,1240,1241,1242,1252,1257,1260,1263,1264,1271,1272,1274,1277,1278,
1279,1293,1295,1310,1312,1313,1314,1315,1325,1328,1338,1344,1346,1353,1372,
1376,1379,1387,1395,1402,1406,1414,1419,1433,1441,1445,1452,1453,1456,1463,
1665,1679,1687,1694,1704,1706,1709,1713,1728,1733,1735,1740,1746,1756,1773,
1979],[1,2,3,4,5,6,7,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,
31,32,33,34,50,51,55,56,58,59,60,61,63,64,66,67,68,69,70,72,74,75,78,80,81,82,
83,84,85,86,87,88,90,91,92,93,95,96,97,98,99,100,101,102,103,105,106,107,108,
109,111,112,113,116,117,118,119,120,121,122,123,124,127,128,129,130,131,132,
133,134,135,136,137,138,139,140,142,144,146,147,150,151,152,153,155,156,157,
159,160,161,164,168,201,206,207,209,212,215,222,225,226,227,228,229,231,233,
234,236,237,240,242,243,244,246,247,249,251,252,253,254,255,256,257,259,260,
261,263,264,266,273,277,278,279,280,281,283,284,286,289,295,298,299,300,301,
303,304,307,308,311,312,313,314,315,317,318,320,321,322,323,326,327,329,332,
333,334,335,336,339,341,342,343,344,347,350,352,353,354,355,356,358,359,361,
363,364,365,370,372,373,378,379,390,393,394,397,401,403,405,406,415,419,420,
422,423,425,428,430,431,434,435,437,441,444,445,447,448,449,451,453,454,456,
457,458,459,460,463,464,469,470,471,474,476,479,482,483,484,485,487,490,494,
495,502,505,509,514,515,521,591,598,600,607,618,623,624,628,629,630,634,646,
647,649,650,651,652,654,657,658,660,664,665,668,671,672,673,675,681,682,687,
688,689,691,692,698,699,710,713,721,723,727,730,737,739,740,746,749,750,751,
752,754,759,760,763,764,774,776,778,779,783,784,785,790,791,792,793,794,800,
802,804,806,810,811,814,815,819,820,830,832,833,834,836,838,840,844,845,848,
849,855,856,857,861,862,865,869,870,871,872,873,874,875,877,879,880,881,883,
885,886,888,889,893,894,895,904,910,911,914,922,932,934,935,944,951,967,991,
995,1005,1006,1015,1022,1026,1157,1172,1174,1190,1192,1203,1207,1211,1212,
1214,1215,1223,1224,1236,1240,1245,1251,1261,1262,1267,1269,1271,1274,1277,
1281,1286,1287,1288,1291,1292,1295,1296,1310,1312,1314,1319,1328,1337,1341,
1343,1353,1372,1377,1413,1414,1415,1416,1418,1433,1445,1451,1462,1464,1469,
1470,1471,1475,1663,1666,1673,1681,1687,1702,1703,1707,1709,1720,1724,1726,
1744,1749,1751,1980],[1,2,3,4,5,6,7,10,11,12,15,16,17,18,19,20,21,22,23,24,25,
26,27,28,30,31,33,34,48,51,54,56,62,63,64,65,66,67,68,69,70,71,72,73,75,77,84,
88,90,91,94,98,104,105,107,108,109,110,111,112,113,114,115,116,119,120,122,
123,124,125,126,127,128,131,132,134,135,137,138,140,141,142,147,148,149,151,
152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,200,201,
203,205,208,209,210,217,226,229,230,231,232,235,237,239,240,242,245,247,248,
250,251,254,255,256,259,260,261,262,264,276,277,278,281,284,285,286,287,296,
299,300,302,305,308,309,311,312,313,316,317,323,326,327,333,339,340,341,342,
344,347,348,350,353,355,358,361,362,364,366,368,374,375,380,382,383,384,385,
394,395,398,407,411,417,418,421,422,426,429,430,447,452,455,459,461,488,489,
491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,
510,511,512,513,514,515,516,517,518,519,520,521,522,589,592,599,602,613,618,
619,620,622,623,632,637,639,641,643,647,648,652,658,659,663,674,675,680,684,
685,686,695,699,700,704,705,721,722,727,728,729,730,733,734,738,739,745,746,
747,748,749,753,758,759,762,765,768,769,780,784,785,787,791,794,798,802,805,
815,816,818,819,821,822,833,836,837,839,844,846,851,858,864,870,871,874,876,
877,882,884,886,887,888,890,894,903,905,917,920,928,930,931,946,952,953,954,
961,962,966,972,976,979,987,988,996,997,998,999,1007,1008,1012,1014,1017,1019,
1020,1021,1025,1027,1028,1029,1030,1148,1160,1167,1181,1184,1195,1196,1197,
1217,1223,1230,1233,1244,1248,1284,1337,1345,1347,1362,1367,1370,1375,1378,
1380,1381,1396,1398,1399,1400,1403,1417,1423,1430,1442,1447,1453,1455,1456,
1457,1458,1468,1472,1475,1476,1478,1479,1484,1486,1487,1489,1490,1629,1670,
1676,1721,1750,1760,1770,1789,1791,1802,1811,1981],[1,2,3,4,5,6,7,11,12,13,14,
15,16,18,19,20,21,22,23,24,25,26,27,28,30,31,32,34,49,52,55,56,59,60,61,63,64,
66,67,68,69,70,72,77,78,79,80,81,82,83,85,87,89,90,91,92,93,95,96,97,98,100,
101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,
120,121,122,124,126,127,129,130,131,132,134,136,137,138,140,141,143,144,145,
146,149,150,151,152,153,155,156,158,159,161,162,164,168,199,207,208,209,211,
213,214,224,226,228,231,233,234,235,237,238,239,240,241,242,243,244,245,246,
247,249,251,253,254,257,259,261,262,264,269,274,276,277,278,279,280,281,283,
284,285,286,288,291,297,299,300,301,302,303,304,306,307,308,312,315,316,319,
323,325,326,327,329,330,332,335,338,339,341,342,343,344,346,347,349,350,352,
353,354,355,357,358,359,360,361,363,364,369,370,371,377,378,379,381,387,388,
389,391,405,408,409,410,412,413,414,415,416,420,423,424,427,430,431,432,435,
436,437,438,440,444,445,446,450,451,454,458,463,467,469,474,476,481,482,483,
484,486,491,499,500,501,502,504,505,507,508,509,515,518,590,595,600,601,605,
621,625,628,629,630,631,633,634,635,640,641,642,646,647,649,652,659,660,662,
664,665,668,672,676,684,686,692,693,698,699,719,720,721,725,726,728,730,733,
737,738,741,744,745,746,747,749,753,759,764,766,768,771,772,775,778,782,783,
784,785,790,791,794,795,797,799,805,806,807,808,809,812,814,815,816,818,819,
820,821,822,823,825,827,830,832,836,838,840,841,842,844,850,857,860,869,871,
875,877,879,881,883,885,892,895,896,900,902,906,907,908,909,912,913,916,925,
932,938,945,969,975,981,982,990,994,1002,1010,1023,1158,1162,1171,1191,1201,
1202,1208,1216,1229,1231,1236,1238,1242,1254,1261,1264,1265,1266,1269,1271,
1275,1278,1281,1283,1286,1287,1289,1291,1292,1295,1296,1298,1312,1313,1315,
1320,1327,1335,1336,1344,1348,1358,1366,1369,1404,1405,1407,1412,1421,1438,
1449,1454,1456,1459,1468,1470,1475,1636,1666,1671,1672,1683,1693,1694,1719,
1727,1729,1749,1756,1779,1782,1785,1982],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,33,48,49,50,51,53,54,55,56,62,63,64,65,66,
67,68,69,70,71,72,77,79,81,82,83,84,87,88,90,91,93,94,95,96,97,98,99,102,103,
104,107,108,109,110,111,112,113,114,115,116,120,122,123,124,125,126,127,128,
135,137,138,140,142,146,147,148,149,151,154,156,157,158,160,161,163,164,165,
166,167,168,202,203,205,208,209,210,229,230,231,232,233,234,236,238,239,241,
243,245,246,247,248,249,250,251,252,253,254,255,256,257,259,260,261,263,276,
277,278,280,281,283,284,285,287,290,293,297,299,300,302,305,308,309,311,312,
313,316,317,323,326,327,331,333,335,336,337,339,340,341,342,344,345,347,348,
350,353,355,358,359,361,362,364,366,368,371,373,375,380,383,384,385,398,407,
410,411,417,421,422,426,429,452,455,459,461,470,489,491,492,493,497,498,500,
502,503,506,509,510,511,513,517,520,522,592,597,599,602,606,610,619,620,622,
634,637,641,643,644,648,651,652,658,674,675,677,680,683,684,685,690,692,693,
694,698,700,711,714,718,719,720,721,722,723,728,734,739,741,745,748,753,754,
757,758,759,762,763,764,765,766,769,780,783,784,787,790,794,798,800,807,810,
812,814,815,819,822,824,825,830,832,833,837,840,854,855,858,872,877,882,883,
884,885,887,889,894,901,905,907,910,911,912,931,952,953,954,966,972,976,987,
988,999,1000,1007,1008,1014,1019,1021,1025,1028,1030,1150,1167,1168,1177,1195,
1197,1220,1230,1244,1246,1248,1249,1304,1308,1322,1326,1333,1335,1344,1345,
1346,1357,1361,1362,1378,1380,1381,1382,1384,1396,1398,1400,1403,1423,1428,
1430,1433,1437,1442,1455,1465,1467,1469,1470,1473,1653,1676,1705,1730,1758,
1760,1771,1787,1788,1804,1808,1983],[1,2,3,6,11,12,13,18,19,20,21,33,50,52,54,
56,57,58,60,64,65,67,72,74,81,85,86,99,100,118,130,137,142,146,163,165,166,
199,205,206,207,208,221,222,223,229,252,256,258,269,310,312,324,328,329,330,
334,337,340,352,365,371,373,383,392,393,424,426,431,448,451,457,460,468,511,
517,586,595,598,604,608,614,619,626,627,636,637,656,657,660,709,713,714,715,
731,736,781,829,831,858,859,866,904,966,984,987,993,994,1015,1145,1159,1171,
1183,1188,1192,1193,1194,1225,1301,1316,1323,1339,1349,1362,1435,1461,1635,
1654,1691,1696,1716,1761,1777,1984],[1,2,3,5,6,11,12,13,16,17,20,21,22,26,27,
33,50,51,52,56,57,58,60,63,64,68,72,73,81,85,86,91,99,100,110,111,125,130,137,
141,142,143,146,148,154,157,167,200,207,209,212,221,222,223,235,236,239,244,
247,252,257,269,302,310,313,317,322,323,324,326,330,334,337,340,352,360,365,
371,373,392,399,404,424,429,431,451,457,460,461,468,497,503,506,522,587,598,
600,607,608,611,625,633,641,650,655,669,670,673,680,709,714,716,732,735,773,
781,788,813,831,835,843,866,882,889,890,954,976,984,993,994,1015,1154,1156,
1157,1178,1182,1200,1213,1216,1252,1276,1303,1329,1334,1349,1350,1396,1397,
1434,1436,1665,1699,1738,1741,1743,1752,1765,1985],[1,2,3,8,9,11,12,17,36,37,
51,52,56,58,171,180,181,212,223,525,531,532,536,544,587,1046,1494,1507,1508,
1986],[1,2,6,8,9,12,14,20,21,36,37,38,49,52,60,82,89,100,117,137,146,171,174,
179,180,188,189,193,214,274,306,410,424,451,469,525,531,532,536,545,548,550,
551,554,558,571,575,938,1033,1035,1044,1053,1063,1069,1113,1114,1115,1116,
1120,1123,1136,1494,1501,1575,1610,1812,1813,1814,1987],[1,2,3,6,8,9,10,11,12,
13,14,20,33,36,37,38,39,40,48,52,53,58,71,81,82,83,99,137,142,171,174,175,176,
177,178,179,180,184,185,189,197,204,269,274,293,348,457,471,525,531,532,533,
536,538,540,541,543,545,546,551,552,553,569,570,702,1031,1035,1036,1045,1051,
1052,1053,1054,1069,1074,1086,1102,1108,1110,1494,1504,1531,1577,1814,1817,
1818,1988],[1,2,3,8,9,10,11,12,13,14,36,37,40,48,49,50,52,53,55,57,58,60,171,
174,175,176,177,180,184,185,189,202,204,214,218,220,221,222,525,531,532,533,
536,541,542,548,552,554,557,568,570,617,1031,1035,1036,1043,1044,1045,1052,
1074,1077,1099,1100,1101,1105,1116,1494,1504,1509,1621,1813,1815,1818,1989],[
1,2,3,7,8,9,10,11,12,21,23,36,37,40,43,44,45,48,52,58,78,94,100,136,146,171,
175,177,180,184,187,188,190,193,204,331,351,403,414,424,460,523,524,525,531,
532,536,541,550,552,555,556,558,561,566,580,940,1031,1032,1033,1045,1052,1060,
1063,1074,1084,1096,1111,1117,1123,1124,1136,1141,1494,1498,1559,1597,1622,
1812,1816,1818,1990],[1,2,6,7,8,9,12,13,14,20,23,36,37,38,43,44,45,50,52,57,
78,82,133,137,146,150,171,174,176,179,180,185,187,189,190,221,274,356,373,402,
414,466,523,524,525,531,532,536,542,545,551,555,556,557,572,573,574,929,1032,
1035,1036,1043,1053,1060,1069,1105,1112,1119,1124,1125,1126,1141,1494,1505,
1574,1607,1814,1815,1816,1991],[1,2,6,8,9,12,13,20,21,36,37,39,50,52,57,81,86,
100,130,137,146,171,176,178,180,185,188,193,221,269,365,373,392,424,468,525,
531,532,536,542,543,546,550,557,558,567,577,984,1033,1036,1043,1051,1054,1063,
1094,1105,1121,1122,1123,1127,1136,1494,1495,1584,1618,1812,1815,1817,1992],[
1,2,6,7,8,9,12,13,14,20,23,36,37,39,43,44,45,49,52,60,78,81,137,145,146,150,
171,174,176,178,180,185,187,189,190,214,269,357,410,414,431,444,523,524,525,
531,532,536,543,546,548,554,555,556,565,572,573,945,1032,1035,1036,1044,1051,
1054,1060,1083,1092,1109,1116,1118,1124,1141,1494,1505,1572,1617,1813,1816,
1817,1993],[1,2,4,5,7,8,9,10,13,14,15,16,21,23,34,36,37,41,42,43,44,45,46,47,
53,62,86,89,94,105,141,143,144,150,159,171,174,175,176,182,183,184,185,187,
188,189,190,191,192,193,194,195,196,198,292,367,391,399,409,419,488,523,524,
525,526,527,533,559,566,570,572,573,575,577,578,579,580,582,584,585,921,1031,
1032,1033,1034,1035,1036,1037,1038,1039,1129,1142,1495,1496,1497,1498,1499,
1500,1501,1502,1503,1504,1505,1819,1820,1821,1822,1823,1824,1825,1994],[1,2,3,
7,11,12,22,23,28,35,52,56,58,63,70,78,146,172,173,199,209,211,223,277,337,403,
414,529,586,605,626,761,813,1235,1826,1995],[1,2,3,11,12,18,19,21,35,52,56,58,
67,72,100,146,172,199,207,208,223,312,337,424,460,528,586,595,626,715,866,
1188,1826,1996],[1,2,3,10,11,12,17,35,48,51,52,56,58,172,199,203,204,212,223,
530,586,587,588,1144,1826,1997],[1,2,3,6,8,11,12,14,18,19,20,21,36,39,40,49,
52,54,56,60,64,65,67,72,74,80,82,83,89,100,117,139,174,177,178,199,205,206,
207,208,214,229,238,244,256,289,306,307,312,330,346,462,473,531,534,535,538,
595,600,601,619,621,642,657,671,852,899,1044,1047,1050,1059,1067,1068,1073,
1145,1162,1164,1222,1224,1530,1578,1655,1827,1998],[1,2,3,6,8,11,12,13,18,19,
20,21,36,38,40,50,52,54,56,57,64,65,67,72,74,81,85,86,99,100,118,130,176,177,
179,199,205,206,207,208,221,229,252,256,258,312,328,329,334,352,365,393,448,
531,534,535,540,595,598,604,619,627,636,657,660,713,904,1043,1048,1050,1055,
1059,1064,1068,1145,1159,1171,1192,1225,1522,1569,1654,1827,1999],[1,2,3,7,8,
10,11,12,17,18,19,21,22,23,28,36,40,48,51,52,54,56,58,63,65,67,70,72,74,77,78,
84,88,94,98,100,104,121,123,128,136,138,140,175,177,180,199,203,204,205,206,
207,208,209,211,212,223,227,228,229,230,231,232,245,255,256,261,271,272,277,
287,309,311,312,317,327,351,354,358,421,531,534,535,541,588,592,593,595,596,
599,603,605,607,619,657,658,661,672,674,684,685,687,700,784,811,860,862,887,
894,1045,1046,1050,1056,1059,1066,1068,1145,1158,1161,1239,1248,1250,1314,
1518,1533,1548,1632,1827,2000],[1,2,3,4,5,9,10,11,12,15,16,17,24,26,27,37,41,
42,48,51,52,56,58,62,68,69,73,75,90,91,157,160,181,182,183,184,199,200,201,
203,204,212,223,236,240,243,248,250,281,302,313,333,536,544,559,562,576,586,
587,588,589,606,624,655,662,691,758,773,1074,1087,1089,1093,1144,1170,1173,
1178,1187,1508,1601,1630,1829,1830,1831,2001],[1,2,3,6,8,10,11,12,13,14,17,20,
25,33,36,38,39,40,48,49,50,51,52,53,55,56,57,58,60,64,66,71,81,82,83,99,135,
137,142,147,174,175,176,177,178,179,180,197,199,202,203,204,210,212,214,218,
220,221,222,223,238,244,246,252,254,258,260,263,269,274,293,310,322,324,328,
330,340,348,457,471,531,532,533,538,540,541,543,545,546,551,552,553,569,586,
587,588,590,597,602,608,611,612,614,617,621,636,654,673,696,697,702,716,781,
788,796,829,859,878,1043,1044,1045,1046,1047,1048,1050,1051,1052,1053,1086,
1102,1108,1110,1144,1146,1149,1182,1183,1185,1186,1255,1258,1507,1509,1511,
1512,1515,1518,1519,1521,1522,1524,1530,1531,1563,1631,1828,1832,1833,1866,
1867,1878,1882,2002],[1,2,3,7,8,11,12,18,19,21,23,36,40,44,52,54,56,59,61,65,
67,72,74,78,92,98,100,101,129,136,143,144,146,177,187,188,199,205,206,207,208,
229,256,303,312,315,335,343,354,360,363,397,414,424,472,480,483,485,531,534,
535,561,595,619,628,629,633,649,657,775,779,803,809,847,849,1050,1059,1060,
1061,1063,1068,1070,1071,1072,1145,1203,1207,1208,1241,1263,1298,1555,1560,
1579,1774,1827,2003],[1,2,3,6,8,11,12,18,19,20,21,33,36,38,39,40,52,54,56,57,
60,64,65,67,72,74,100,137,142,163,165,166,177,178,179,197,199,205,206,207,208,
229,256,312,324,328,330,340,383,392,426,451,511,517,531,534,535,569,595,619,
637,656,657,829,831,858,966,987,1047,1048,1050,1059,1068,1139,1145,1193,1301,
1362,1461,1563,1598,1761,1827,2004],[1,2,3,4,5,6,8,11,12,13,14,15,16,18,19,20,
21,24,25,26,27,36,40,52,54,55,56,65,66,67,68,69,72,74,81,82,87,90,91,95,97,
100,103,105,107,108,109,112,113,114,115,116,122,124,126,131,132,137,141,149,
177,185,189,199,205,206,207,208,229,233,234,235,237,240,242,243,246,253,254,
256,257,264,266,268,269,273,274,275,281,283,285,300,302,312,316,323,341,342,
344,347,353,361,364,375,378,380,385,417,482,531,534,535,568,590,591,594,595,
610,619,623,625,632,646,651,657,662,664,665,681,686,689,690,693,738,741,748,
749,753,754,769,791,812,821,832,833,840,864,874,911,1050,1054,1057,1058,1059,
1062,1065,1068,1069,1145,1190,1211,1254,1257,1272,1283,1367,1437,1549,1567,
1582,1591,1633,1827,2005],[1,2,3,8,11,12,18,19,21,36,40,52,54,56,58,65,67,72,
74,100,146,177,180,199,205,206,207,208,223,229,256,312,337,424,460,531,534,
535,552,586,595,619,626,657,715,866,1046,1050,1059,1068,1145,1188,1194,1512,
1635,1827,2006],[1,2,3,5,6,9,11,16,17,18,19,20,21,22,25,26,27,33,37,42,46,51,
63,66,67,68,72,73,84,88,91,110,114,115,120,125,126,132,135,141,142,147,148,
149,154,157,161,163,165,166,167,181,183,192,193,200,217,229,231,235,239,242,
255,259,260,261,285,296,299,305,308,313,316,317,323,326,361,362,366,368,374,
383,384,398,407,411,418,426,429,452,455,461,489,493,506,513,522,544,563,576,
579,613,639,648,658,659,704,721,727,728,734,765,780,864,890,917,946,953,976,
979,987,988,998,1012,1019,1021,1030,1049,1076,1081,1089,1181,1233,1370,1380,
1417,1442,1447,1514,1534,1556,1595,1789,1835,1847,1880,2007],[1,2,3,4,6,9,11,
15,17,18,19,20,21,22,24,25,26,33,37,41,47,51,63,66,67,69,72,75,84,88,91,105,
107,111,113,122,124,125,127,131,135,142,147,148,154,160,163,165,166,167,168,
181,182,191,193,201,217,229,231,237,247,251,255,260,261,264,278,296,299,300,
305,317,333,339,341,353,362,364,368,383,384,394,398,407,422,426,429,447,452,
455,459,461,489,497,503,510,520,544,562,564,578,613,618,658,675,699,705,734,
765,780,794,802,874,877,886,920,928,930,931,952,954,961,962,972,987,988,1028,
1049,1081,1087,1097,1184,1223,1347,1375,1378,1417,1442,1514,1561,1573,1615,
1802,1840,1853,1880,2008],[1,2,3,6,8,11,12,14,18,19,20,21,33,36,38,39,40,49,
52,56,57,58,60,64,67,72,80,82,83,89,100,117,137,142,146,165,166,174,177,178,
179,180,188,189,197,199,207,208,214,220,223,238,244,274,306,307,312,322,324,
328,330,337,340,346,383,392,410,424,451,460,466,469,470,471,531,538,542,543,
545,552,554,556,558,569,571,575,586,595,600,601,611,612,621,626,637,642,656,
715,716,718,732,796,829,831,835,866,898,938,943,944,980,1044,1046,1047,1048,
1050,1063,1069,1083,1096,1100,1108,1112,1114,1121,1162,1186,1188,1193,1324,
1329,1332,1391,1432,1512,1515,1516,1517,1524,1526,1529,1530,1563,1575,1583,
1608,1775,1839,1841,1842,1843,1860,1867,1868,2009],[1,2,3,4,5,6,7,9,11,13,14,
15,16,17,18,19,20,21,23,24,25,26,27,28,29,30,32,34,37,42,43,45,47,51,55,59,61,
66,67,68,69,70,72,75,76,77,79,80,83,85,86,89,91,92,93,95,96,97,99,101,102,104,
106,107,109,116,117,118,119,121,123,124,126,128,129,130,131,133,136,139,141,
143,144,145,149,150,152,153,155,156,157,158,159,164,169,181,183,186,190,191,
194,198,201,215,224,226,227,228,234,235,237,241,245,249,253,256,263,270,276,
283,284,286,289,300,303,304,311,313,314,315,316,319,320,329,332,334,338,342,
343,346,350,360,370,376,381,388,389,390,396,399,400,404,406,408,409,412,413,
415,416,425,432,435,436,437,438,439,442,443,446,449,450,458,464,465,474,476,
479,486,487,494,495,508,518,537,539,544,547,549,560,564,576,583,584,609,631,
632,645,651,661,668,688,719,744,747,751,760,776,779,795,797,799,801,820,828,
834,838,842,843,845,847,852,863,868,875,888,891,892,893,896,901,904,906,913,
918,923,937,982,983,989,990,1001,1023,1078,1079,1088,1089,1090,1097,1098,1103,
1104,1128,1131,1133,1179,1206,1327,1338,1354,1360,1364,1390,1408,1415,1419,
1420,1421,1424,1462,1510,1587,1609,1614,1794,1852,1858,1859,2010],[1,2,3,5,6,
7,9,11,13,14,16,17,20,21,22,23,25,26,27,28,29,31,32,37,42,46,51,55,59,61,63,
66,68,70,72,73,74,76,79,80,83,85,86,87,89,91,92,93,99,101,103,106,110,117,118,
129,130,132,133,134,136,139,141,143,144,145,150,157,158,161,162,170,181,183,
186,192,193,200,206,213,225,227,233,235,239,241,242,253,261,262,263,267,268,
275,276,279,288,289,291,295,301,303,308,313,315,317,321,323,326,329,334,341,
343,346,358,359,360,369,372,376,377,387,388,390,393,397,399,400,404,406,408,
409,433,438,440,441,442,443,445,446,448,450,453,456,462,472,473,480,481,484,
485,490,544,547,549,560,563,576,579,581,594,609,638,645,659,681,687,692,713,
723,725,726,776,782,792,793,801,803,806,816,820,828,841,842,843,845,849,861,
865,867,868,869,890,891,896,899,902,906,907,933,939,941,947,949,963,968,978,
986,1004,1075,1076,1081,1085,1089,1090,1098,1106,1107,1130,1180,1226,1325,
1336,1343,1348,1352,1364,1365,1371,1376,1383,1390,1392,1418,1510,1595,1613,
1619,1803,1846,1851,1859,2011],[1,2,3,4,6,7,9,11,13,14,15,17,20,21,22,23,24,
25,26,28,29,30,32,37,41,47,51,55,59,61,63,66,69,70,72,74,75,76,80,83,85,86,89,
91,92,95,96,97,99,101,102,105,106,117,118,119,127,129,130,131,133,136,139,143,
144,145,150,155,160,164,168,169,181,182,186,191,193,201,206,215,224,226,227,
234,237,249,251,257,261,263,264,266,270,273,278,289,303,304,314,315,317,319,
320,329,332,333,334,338,339,343,346,350,358,359,360,361,364,370,390,391,393,
396,397,401,405,406,419,423,427,428,434,435,436,437,438,439,442,443,448,449,
450,462,464,465,472,473,474,476,479,480,485,486,544,547,549,560,562,564,578,
583,591,609,682,687,688,689,698,699,713,735,744,751,760,777,778,782,799,801,
802,803,804,806,828,841,849,850,856,861,863,868,871,875,885,892,893,899,900,
909,910,918,922,950,959,967,983,991,992,1003,1022,1075,1081,1085,1087,1091,
1095,1097,1103,1104,1133,1179,1245,1318,1359,1365,1387,1392,1402,1408,1412,
1413,1416,1422,1439,1449,1510,1593,1600,1615,1807,1837,1846,1852,2012],[1,2,3,
4,5,9,10,11,12,15,16,17,24,26,27,37,46,47,48,51,52,56,58,62,68,69,73,75,90,91,
157,160,181,184,191,192,199,200,201,203,204,212,223,236,240,243,248,250,281,
302,313,333,536,544,563,564,585,586,587,588,589,606,624,655,662,691,758,773,
1074,1076,1093,1097,1144,1170,1173,1178,1187,1508,1599,1630,1830,1836,1862,
2013],[1,2,3,5,9,11,12,16,17,21,22,26,27,37,42,46,51,52,56,58,63,68,72,73,91,
100,110,111,141,146,157,181,183,192,193,200,207,209,212,223,235,236,239,247,
257,302,313,317,323,326,337,424,460,536,544,563,576,579,587,607,625,641,655,
669,773,813,866,889,890,1076,1081,1089,1136,1154,1178,1213,1276,1350,1508,
1595,1738,1831,1836,1877,2014],[1,2,3,4,5,6,7,9,11,15,16,17,18,19,20,22,23,24,
25,26,27,28,30,33,34,37,41,43,45,46,51,54,63,65,66,67,68,69,70,73,77,84,88,91,
104,107,108,109,111,112,113,114,115,116,119,122,123,124,125,126,127,128,135,
138,140,142,147,148,149,152,153,154,155,156,158,159,160,161,163,165,166,167,
181,182,190,192,195,196,200,205,217,226,245,247,251,255,260,276,284,285,286,
287,296,300,305,308,309,311,316,327,333,342,344,353,362,368,374,375,380,383,
384,385,398,407,417,418,421,422,426,429,452,455,459,461,489,491,492,496,497,
498,500,503,505,508,510,511,512,514,515,517,518,520,521,537,539,544,562,563,
582,613,639,675,685,704,734,745,747,748,765,780,839,844,846,851,870,876,903,
917,931,946,952,954,961,962,966,972,979,996,997,999,1007,1008,1014,1025,1028,
1029,1049,1076,1078,1087,1137,1140,1181,1284,1345,1375,1378,1399,1447,1476,
1478,1486,1490,1514,1527,1528,1534,1573,1594,1811,1835,1840,1854,1891,1906,
2015],[1,2,3,4,5,6,7,9,11,15,16,17,18,19,20,22,23,24,25,26,27,28,31,33,34,37,
42,43,45,47,51,54,63,65,66,67,68,69,70,75,77,84,88,91,104,107,108,109,110,112,
113,114,115,116,120,122,123,124,125,126,128,134,135,138,140,142,147,148,149,
151,152,153,154,157,159,162,163,164,165,166,167,168,181,183,190,191,194,198,
201,205,217,239,245,255,259,260,262,278,285,286,287,296,300,305,309,311,313,
316,327,342,344,350,353,355,362,366,368,375,380,383,384,385,394,398,407,411,
417,421,426,429,447,452,455,461,489,492,493,494,495,498,499,501,502,504,506,
507,509,511,513,516,517,519,522,537,539,544,564,576,584,613,618,648,685,705,
729,733,734,748,759,765,780,805,839,846,851,876,888,920,928,930,953,966,976,
998,999,1007,1008,1012,1014,1017,1019,1020,1021,1025,1027,1030,1049,1078,1089,
1097,1128,1131,1184,1196,1345,1347,1370,1380,1399,1479,1484,1487,1489,1514,
1527,1528,1556,1561,1614,1791,1847,1853,1854,1885,1907,2016],[1,2,3,4,5,7,9,
11,12,15,16,17,18,19,23,24,26,27,28,34,37,41,43,45,46,51,52,56,58,67,68,69,70,
73,75,78,91,107,109,114,115,116,123,124,128,146,152,153,157,158,159,160,164,
181,182,190,192,195,196,200,201,208,211,212,223,236,276,280,281,285,286,300,
302,311,313,333,337,342,347,350,403,414,494,495,496,512,536,537,539,544,562,
563,582,587,603,655,669,691,715,753,757,761,773,808,810,888,903,1076,1078,
1087,1137,1140,1141,1178,1187,1218,1253,1256,1350,1448,1508,1594,1786,1829,
1836,1876,2017],[1,2,3,4,5,6,9,10,11,12,15,16,17,18,19,20,22,24,25,27,33,37,
46,47,48,51,56,62,63,64,66,67,68,69,71,73,75,84,88,90,113,122,126,135,137,142,
147,149,154,161,165,166,167,168,181,184,191,192,200,201,203,208,209,210,217,
230,240,250,254,255,260,278,296,308,316,340,348,353,368,374,383,384,394,398,
407,418,429,447,544,563,564,585,589,599,602,613,618,637,639,647,680,686,704,
705,734,798,837,930,946,1049,1076,1093,1097,1148,1160,1167,1181,1184,1514,
1534,1561,1599,1629,1835,1853,1870,2018],[1,2,3,4,5,7,9,11,12,15,16,17,18,19,
23,24,26,27,28,34,37,42,43,45,47,51,52,56,58,67,68,69,70,73,75,78,91,107,109,
114,115,116,123,124,128,146,152,153,157,158,159,160,164,181,183,190,191,194,
198,200,201,208,211,212,223,236,276,280,281,285,286,300,302,311,313,333,337,
342,347,350,403,414,494,495,496,512,536,537,539,544,564,576,584,587,603,655,
669,691,715,753,757,761,773,808,810,888,903,1078,1089,1097,1128,1131,1141,
1178,1187,1218,1253,1256,1350,1448,1508,1614,1786,1831,1862,1876,2019],[1,2,3,
4,9,11,12,15,17,21,22,24,26,37,41,47,51,52,56,58,63,69,72,75,91,100,105,120,
127,146,160,181,182,191,193,201,207,209,212,223,236,251,253,259,264,281,317,
333,337,339,364,424,460,536,544,562,564,578,587,607,652,664,669,691,773,802,
813,855,866,1081,1087,1097,1136,1174,1187,1213,1276,1448,1508,1615,1763,1829,
1862,1877,2020],[1,2,3,4,5,7,9,10,11,12,15,16,17,21,23,24,26,27,28,29,34,37,
41,42,48,51,56,59,61,62,68,69,70,72,76,78,90,91,92,94,98,100,101,105,118,129,
136,139,141,152,153,157,158,159,160,164,181,182,183,184,186,203,207,211,216,
219,227,232,235,248,250,253,257,264,265,276,280,281,282,286,289,302,303,313,
315,323,329,333,350,351,354,363,364,376,382,386,400,401,405,408,423,434,442,
446,477,483,488,544,547,549,559,560,562,576,596,609,625,628,645,660,664,671,
677,678,682,695,710,724,755,758,777,778,804,808,820,828,842,845,850,884,891,
942,970,971,1024,1080,1082,1087,1089,1090,1091,1093,1095,1098,1135,1147,1199,
1205,1215,1227,1278,1287,1318,1364,1427,1443,1510,1590,1596,1601,1684,1837,
1856,1859,2021],[1,2,3,7,9,10,11,12,17,18,19,21,22,23,28,37,43,45,48,51,52,56,
58,63,67,70,72,78,84,88,94,98,100,123,128,136,146,181,184,190,193,199,203,204,
207,208,209,211,212,223,227,230,232,255,277,311,312,317,331,335,337,351,354,
403,414,424,460,536,537,539,544,580,586,587,588,595,596,599,603,605,607,626,
669,683,715,761,809,813,862,866,880,887,940,1074,1078,1081,1093,1136,1141,
1144,1161,1163,1188,1189,1213,1235,1243,1253,1508,1606,1622,1664,1830,1876,
1877,2022],[1,2,3,4,5,6,7,9,11,13,14,15,16,17,18,19,20,21,23,24,25,26,27,28,
29,31,32,34,37,41,43,45,46,51,55,59,61,66,67,68,69,70,72,73,76,77,79,80,83,85,
86,87,89,91,92,93,96,99,101,102,103,104,105,106,109,113,114,115,116,117,118,
121,122,123,128,129,130,132,133,134,136,139,143,144,145,150,151,152,153,158,
159,160,162,164,170,181,182,186,190,192,195,196,200,213,225,227,228,233,241,
242,245,249,256,257,262,263,264,267,276,279,283,285,286,288,289,291,295,301,
303,311,315,321,329,333,334,342,343,346,350,353,355,360,369,372,377,379,387,
390,391,401,405,406,412,413,415,416,419,420,423,425,427,428,432,433,434,438,
440,441,442,443,445,450,453,456,458,481,484,487,490,496,499,504,512,537,539,
544,547,549,560,562,563,581,582,609,623,630,638,661,676,682,690,719,725,726,
733,735,763,777,778,779,792,793,795,797,801,804,828,834,838,847,850,852,856,
865,867,868,869,900,902,903,904,909,933,935,949,975,981,1002,1005,1006,1010,
1026,1076,1078,1079,1087,1088,1091,1095,1106,1107,1130,1137,1140,1180,1209,
1318,1319,1320,1352,1354,1359,1360,1377,1394,1395,1405,1406,1444,1510,1594,
1605,1616,1799,1837,1851,1858,2023],[1,2,3,6,8,10,11,12,13,14,17,18,19,20,22,
25,33,36,38,39,40,48,49,50,51,52,53,55,56,57,58,60,63,64,66,67,71,81,82,83,84,
88,99,135,137,142,146,147,154,165,166,167,175,177,178,179,180,185,189,197,199,
202,203,204,208,209,210,212,218,223,230,238,244,246,252,254,255,258,260,263,
269,274,293,310,322,324,328,330,331,335,337,340,348,368,371,373,383,384,398,
407,410,429,457,470,471,531,541,543,550,551,553,554,556,557,568,569,570,588,
590,597,599,602,608,612,627,637,642,650,654,666,680,683,696,702,714,715,716,
718,734,736,788,798,800,813,824,829,835,854,859,878,912,1045,1046,1047,1048,
1050,1054,1069,1083,1084,1094,1101,1102,1113,1119,1149,1167,1221,1243,1255,
1306,1308,1323,1393,1432,1436,1511,1515,1516,1518,1519,1520,1525,1529,1563,
1577,1582,1604,1718,1843,1849,1855,1864,1872,1882,1883,2024],[1,2,3,7,9,10,11,
12,17,18,19,21,22,23,28,37,43,45,48,51,54,56,63,65,67,70,72,77,84,88,94,98,
104,123,125,128,138,140,148,181,184,190,193,203,205,208,209,217,229,230,231,
232,245,255,256,261,277,287,296,305,309,311,312,317,327,358,362,421,461,489,
537,539,544,580,592,599,613,619,658,674,684,685,700,762,780,784,839,846,851,
876,882,887,894,1049,1078,1081,1093,1148,1197,1248,1399,1417,1514,1527,1528,
1606,1770,1854,1870,1880,2025],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,20,21,
23,24,25,27,28,29,30,31,32,37,46,47,48,49,50,51,53,55,56,59,61,62,64,66,68,69,
70,71,72,73,75,76,78,79,80,81,82,83,85,86,87,89,90,92,93,94,95,96,97,98,99,
100,101,102,103,106,117,119,129,130,131,132,133,134,136,145,150,155,162,169,
170,181,184,186,191,192,200,201,202,203,207,210,211,213,215,216,219,224,225,
226,227,232,233,234,237,238,240,241,242,246,249,250,252,262,263,265,267,270,
279,282,288,290,291,292,293,294,295,297,298,301,303,304,306,307,314,315,318,
319,320,321,325,332,334,336,338,345,346,349,351,352,354,356,357,363,365,369,
378,387,390,395,406,430,433,436,437,438,440,441,442,443,445,449,450,453,454,
463,464,465,467,474,476,478,479,482,483,484,486,490,544,547,549,560,563,564,
581,583,585,589,596,597,598,601,609,615,616,628,635,638,644,646,653,663,678,
688,703,712,717,725,726,742,743,744,750,751,755,760,767,771,792,793,799,801,
817,823,826,827,848,873,916,918,925,932,933,934,949,951,955,973,977,983,1076,
1080,1082,1093,1097,1103,1104,1106,1107,1130,1133,1135,1147,1165,1176,1179,
1180,1212,1275,1321,1330,1426,1510,1585,1586,1599,1623,1628,1851,1852,1856,
2026],[1,2,3,6,8,11,12,13,17,20,21,22,33,36,39,50,51,52,56,57,58,60,63,64,72,
81,85,86,99,100,130,137,142,146,154,167,176,178,180,185,188,207,209,212,221,
222,223,244,252,269,310,317,322,324,330,334,337,340,352,365,371,373,392,424,
429,431,451,457,460,468,531,532,542,543,546,550,557,558,567,577,587,598,600,
607,608,611,650,669,670,673,680,709,714,716,732,781,788,813,831,835,866,984,
993,994,1015,1043,1046,1047,1051,1054,1063,1094,1105,1121,1122,1123,1127,1157,
1182,1200,1213,1329,1334,1349,1434,1436,1507,1515,1517,1520,1521,1525,1526,
1580,1584,1618,1765,1828,1841,1844,1871,1873,1874,1883,2027],[1,2,3,6,7,8,11,
12,13,14,20,22,23,28,32,33,36,38,39,40,44,49,50,52,56,57,58,60,63,64,70,78,81,
82,83,99,106,133,137,142,145,146,150,154,167,174,177,178,179,180,185,187,197,
199,209,211,214,220,221,222,223,238,244,252,258,269,274,277,298,310,322,324,
325,328,330,337,340,356,357,371,373,402,403,410,414,429,431,443,444,457,466,
468,469,470,471,531,538,543,545,548,550,552,555,557,569,572,574,586,605,608,
611,612,614,621,626,636,650,653,666,670,679,680,709,714,716,718,731,732,736,
761,781,796,813,829,835,859,897,898,914,915,924,929,945,969,995,1011,1044,
1046,1047,1048,1050,1054,1060,1094,1099,1108,1111,1118,1120,1125,1183,1186,
1204,1235,1311,1324,1368,1393,1409,1431,1434,1435,1436,1446,1466,1512,1513,
1515,1520,1523,1524,1525,1530,1563,1572,1581,1588,1797,1850,1861,1863,1867,
1869,1875,1883,2028],[1,2,3,6,8,11,12,13,18,19,20,21,33,36,38,39,40,50,52,56,
57,58,60,64,67,72,81,85,86,99,100,130,137,142,146,165,166,176,177,178,179,180,
185,188,197,199,207,208,221,222,223,252,258,269,310,312,324,328,330,334,337,
340,352,365,371,373,383,392,424,431,451,457,460,468,531,540,546,548,551,552,
556,557,558,567,569,577,586,595,598,604,608,614,626,627,636,637,656,709,714,
715,731,736,781,829,831,859,866,984,993,994,1015,1043,1046,1047,1048,1050,
1054,1063,1092,1096,1099,1110,1115,1119,1127,1159,1183,1188,1193,1316,1323,
1339,1349,1435,1512,1519,1521,1522,1523,1525,1526,1529,1563,1580,1584,1602,
1696,1848,1861,1864,1866,1868,1874,1879,2029],[1,2,3,6,7,8,11,12,13,14,17,18,
19,20,23,28,32,33,36,38,44,49,50,51,52,56,57,58,60,64,67,70,78,81,82,83,99,
106,123,128,133,137,142,145,146,150,165,166,174,179,180,185,187,208,211,212,
214,220,221,222,223,238,244,252,258,269,274,298,310,311,322,324,325,328,330,
337,340,356,357,371,373,383,402,403,410,414,431,443,444,457,466,468,469,470,
471,531,532,542,545,551,555,556,557,572,574,587,603,608,611,612,614,627,637,
642,653,656,669,673,679,697,709,714,715,716,718,731,732,736,761,781,788,796,
835,859,897,898,914,915,924,929,945,969,995,1011,1044,1046,1048,1053,1054,
1060,1105,1112,1119,1124,1125,1126,1182,1185,1253,1282,1305,1323,1331,1334,
1339,1368,1391,1409,1431,1432,1446,1507,1513,1517,1519,1524,1525,1529,1572,
1581,1607,1810,1833,1838,1839,1845,1863,1864,1873,2030],[1,2,3,6,8,10,11,12,
13,14,17,20,25,33,36,40,48,49,50,51,52,53,55,56,57,58,60,64,66,71,81,82,83,99,
135,137,142,147,175,177,180,185,189,199,202,203,204,210,212,214,218,220,221,
222,223,238,244,246,252,254,258,260,263,269,274,293,310,322,324,328,330,340,
348,457,471,531,532,541,542,548,552,554,557,568,570,586,587,588,590,597,602,
608,611,612,614,617,621,636,654,673,696,697,702,716,781,788,796,829,859,878,
1045,1046,1050,1052,1054,1069,1077,1099,1100,1101,1105,1116,1144,1146,1149,
1182,1183,1185,1186,1255,1258,1507,1512,1516,1517,1518,1523,1525,1577,1582,
1621,1631,1832,1834,1855,1857,1860,1861,1873,2031],[1,2,3,6,7,8,10,11,12,13,
14,17,20,21,23,25,28,32,33,36,38,39,40,44,48,49,50,51,52,53,55,56,57,58,60,64,
66,70,71,72,78,80,81,82,83,85,86,89,94,98,99,100,106,117,130,133,135,136,137,
142,145,146,147,150,174,175,176,177,178,179,180,185,187,188,189,199,202,203,
204,207,210,211,212,214,218,220,221,222,223,227,232,238,244,246,252,254,258,
260,263,269,274,292,293,294,298,306,307,310,318,322,324,325,328,330,331,334,
335,337,340,346,348,349,351,352,354,356,357,365,371,373,390,392,402,403,406,
410,414,424,431,438,443,444,450,451,457,460,463,466,468,469,470,471,478,531,
533,538,540,541,545,546,553,554,555,557,558,561,565,566,567,568,570,571,572,
573,574,575,577,588,590,596,597,598,601,602,608,612,617,621,636,653,654,673,
683,696,697,702,709,714,718,750,761,767,770,781,796,800,801,809,817,823,824,
826,831,853,854,866,878,879,880,895,897,898,912,914,915,924,927,929,938,940,
943,944,945,948,969,980,984,993,994,995,1011,1015,1043,1044,1045,1046,1047,
1048,1050,1054,1060,1063,1069,1086,1101,1109,1114,1117,1125,1127,1129,1132,
1134,1138,1149,1165,1189,1219,1228,1258,1308,1332,1349,1372,1404,1411,1431,
1446,1474,1491,1493,1509,1511,1513,1516,1518,1521,1522,1524,1525,1526,1530,
1559,1560,1568,1572,1574,1575,1577,1580,1581,1582,1583,1584,1612,1717,1842,
1855,1863,1865,1874,1878,1881,1886,1893,1899,1905,2032],[1,2,3,4,5,9,10,11,12,
15,16,17,18,19,22,24,26,27,37,41,42,48,51,56,62,63,67,68,69,84,88,90,91,107,
109,110,111,114,115,116,120,124,127,157,160,163,181,182,183,184,203,208,209,
217,230,239,247,248,250,251,255,259,281,285,296,300,302,313,326,333,339,342,
347,366,411,422,426,452,455,459,544,559,562,576,599,613,620,641,643,648,652,
675,722,739,753,758,765,858,905,961,962,998,1012,1049,1087,1089,1093,1148,
1195,1244,1370,1375,1514,1556,1573,1601,1721,1840,1847,1870,2033],[1,2,3,7,8,
10,11,12,17,18,19,21,22,23,28,36,40,44,48,51,52,56,58,63,67,70,72,78,84,88,94,
98,100,123,128,136,146,175,177,180,187,188,199,203,204,207,208,209,211,212,
223,227,230,232,255,277,311,312,317,331,335,337,351,354,403,414,424,460,531,
532,541,550,552,555,556,558,561,566,586,587,588,595,596,599,603,605,607,626,
669,683,715,761,809,813,862,866,880,887,940,1045,1046,1050,1052,1060,1063,
1084,1096,1111,1117,1123,1124,1144,1161,1163,1188,1189,1213,1235,1243,1253,
1507,1512,1513,1518,1520,1526,1529,1559,1560,1597,1664,1832,1838,1868,1869,
1871,1872,1881,2034],[1,2,3,6,7,8,11,12,13,14,17,18,19,20,23,28,32,33,36,39,
44,49,50,51,52,56,57,58,60,64,67,70,78,81,82,83,99,106,123,128,133,137,142,
145,146,150,165,166,176,178,180,187,189,208,211,212,214,220,221,222,223,238,
244,252,258,269,274,298,310,311,322,324,325,328,330,337,340,356,357,371,373,
383,402,403,410,414,431,443,444,457,466,468,469,470,471,531,532,543,546,548,
554,555,556,565,573,587,603,608,611,612,614,627,637,642,653,656,669,673,679,
697,709,714,715,716,718,731,732,736,761,781,788,796,835,859,897,898,914,915,
924,929,945,969,995,1011,1043,1046,1047,1051,1060,1069,1083,1092,1109,1116,
1118,1124,1182,1185,1253,1282,1305,1323,1331,1334,1339,1368,1391,1409,1431,
1432,1446,1507,1513,1515,1516,1521,1523,1529,1568,1574,1617,1810,1828,1834,
1838,1843,1848,1865,1875,2035],[1,2,3,6,8,11,12,14,17,20,21,22,33,36,38,49,51,
52,56,57,58,60,63,64,72,80,82,83,89,100,117,137,142,146,154,167,174,179,180,
188,189,207,209,212,214,220,223,238,258,274,306,307,310,317,322,324,328,337,
340,346,392,410,424,429,451,460,466,469,470,471,531,532,545,548,550,551,554,
558,571,575,587,601,604,607,612,614,666,669,670,680,697,718,731,736,788,796,
813,831,859,866,898,938,943,944,980,1044,1046,1048,1053,1063,1069,1113,1114,
1115,1116,1120,1123,1153,1185,1200,1213,1316,1331,1332,1393,1466,1507,1516,
1519,1520,1523,1524,1526,1575,1583,1610,1764,1833,1834,1842,1849,1850,1871,
1879,2036],[1,2,3,6,8,10,11,12,13,14,17,18,19,20,22,25,36,38,39,40,48,49,50,
51,52,53,55,56,57,58,60,63,64,66,67,71,81,82,83,84,88,99,146,174,175,176,177,
178,179,180,199,202,203,204,208,209,210,212,214,218,220,221,222,223,230,238,
244,246,252,255,258,263,293,310,322,324,328,330,331,335,337,431,466,468,469,
531,533,538,540,541,542,545,546,548,550,553,556,588,597,599,611,614,617,621,
627,636,642,650,656,666,670,673,683,696,697,709,715,731,732,781,796,813,853,
878,895,898,948,1043,1044,1045,1046,1047,1048,1050,1077,1084,1086,1092,1112,
1120,1122,1146,1169,1219,1221,1243,1258,1307,1339,1391,1434,1466,1509,1511,
1517,1518,1520,1521,1522,1523,1524,1529,1530,1592,1767,1839,1844,1848,1850,
1857,1872,1878,2037],[1,2,3,6,7,8,11,12,13,14,20,22,23,28,32,33,36,38,39,40,
44,49,50,52,56,57,58,60,63,64,70,78,81,82,83,99,106,133,137,142,145,146,150,
154,167,176,177,178,179,180,187,189,197,199,209,211,214,220,221,222,223,238,
244,252,258,269,274,277,298,310,322,324,325,328,330,337,340,356,357,371,373,
402,403,410,414,429,431,443,444,457,466,468,469,470,471,531,540,542,546,550,
551,552,554,555,565,569,573,586,605,608,611,612,614,621,626,636,650,653,666,
670,679,680,709,714,716,718,731,732,736,761,781,796,813,829,835,859,897,898,
914,915,924,929,945,969,995,1011,1043,1046,1047,1048,1050,1060,1069,1100,1109,
1110,1111,1113,1122,1126,1183,1186,1204,1235,1311,1324,1368,1393,1409,1431,
1434,1435,1436,1446,1466,1512,1513,1516,1517,1519,1520,1521,1522,1563,1568,
1574,1603,1797,1844,1845,1849,1860,1865,1866,1869,2038],[1,2,3,7,9,10,11,12,
17,18,19,21,22,23,28,29,37,43,45,48,51,56,59,61,63,67,70,72,74,76,77,78,92,94,
98,100,101,104,121,123,128,129,136,138,140,143,144,181,184,186,190,193,203,
206,207,211,216,219,227,228,229,230,232,245,256,261,265,271,272,277,282,303,
311,312,315,317,327,343,351,354,358,360,363,367,397,413,415,432,442,458,472,
475,480,483,485,537,539,544,547,549,560,580,593,596,609,628,633,649,657,661,
672,674,678,687,700,755,779,782,789,795,803,806,811,838,847,849,860,868,887,
960,964,965,1009,1075,1078,1079,1080,1081,1082,1085,1088,1093,1135,1147,1191,
1207,1239,1241,1269,1270,1351,1354,1392,1440,1510,1589,1606,1611,1734,1846,
1856,1858,2039],[1,2,3,6,7,8,10,11,12,17,20,21,23,25,28,33,36,38,39,40,44,48,
51,52,56,57,58,60,64,66,70,71,72,78,94,98,100,135,136,137,142,146,147,175,177,
178,179,180,187,188,197,199,203,204,207,210,211,212,218,223,227,232,244,254,
258,260,310,322,324,328,330,331,335,337,340,348,351,354,392,402,403,414,424,
444,451,460,531,541,542,543,548,551,553,555,558,561,566,569,588,596,600,602,
604,611,614,679,683,696,716,731,732,736,761,770,788,809,829,831,835,859,866,
878,879,880,897,927,940,1045,1046,1047,1048,1050,1060,1063,1077,1102,1115,
1117,1118,1121,1126,1146,1155,1189,1228,1255,1306,1307,1316,1329,1368,1409,
1511,1513,1515,1517,1518,1519,1523,1526,1559,1560,1563,1620,1697,1841,1845,
1857,1875,1879,1881,1882,2040],[1,2,3,6,8,10,11,12,13,14,18,19,20,22,26,33,36,
38,39,40,48,49,50,53,54,55,63,65,67,71,91,111,120,125,137,142,146,148,154,163,
165,166,167,175,177,178,179,180,185,189,197,202,205,230,231,247,248,259,283,
331,347,348,359,373,383,410,426,429,461,493,497,503,511,513,517,535,541,543,
550,551,553,554,556,557,568,569,570,592,610,643,694,711,722,762,798,854,883,
953,954,966,988,1000,1059,1083,1084,1094,1101,1102,1113,1119,1139,1150,1322,
1333,1361,1398,1430,1467,1533,1591,1598,1604,1808,1887,1894,1895,2041],[1,2,3,
4,5,6,7,8,10,11,12,13,14,15,16,20,21,23,24,27,28,29,30,31,32,34,36,38,39,40,
44,48,49,50,53,55,59,61,62,68,69,70,71,72,74,76,78,79,80,81,82,83,85,86,87,89,
90,92,93,94,95,96,97,98,99,100,101,102,103,105,106,117,118,119,121,129,130,
131,132,133,134,136,139,141,143,144,145,150,152,153,159,174,175,176,177,178,
179,180,185,187,188,189,202,206,213,215,216,219,224,225,228,232,233,234,235,
241,249,250,264,265,266,268,271,272,273,275,279,282,286,288,289,290,291,292,
293,294,295,297,301,303,304,306,314,315,318,319,320,321,329,332,334,336,338,
343,345,346,349,351,356,357,360,363,365,367,369,370,372,376,377,378,379,381,
382,386,387,388,389,391,393,395,396,397,399,400,401,404,405,406,408,409,412,
413,415,416,419,420,423,425,427,428,432,433,434,435,436,439,440,441,442,443,
446,448,449,450,453,454,456,458,462,463,464,465,467,472,473,474,475,476,477,
478,479,480,481,482,483,484,485,486,487,488,490,533,534,538,540,541,545,546,
553,554,555,557,558,561,565,566,567,568,570,571,572,573,574,575,577,591,593,
594,615,616,630,631,644,695,701,706,707,708,712,713,717,724,726,742,743,755,
760,767,771,778,789,793,795,797,799,803,804,826,834,838,842,843,848,849,856,
863,865,875,891,896,899,902,909,913,916,918,919,921,922,923,926,933,934,935,
936,937,939,941,942,947,950,955,956,957,958,959,960,963,964,965,967,968,970,
971,974,975,977,978,981,982,985,986,989,990,991,992,1001,1002,1003,1004,1005,
1006,1009,1010,1013,1016,1018,1022,1023,1024,1026,1055,1056,1057,1058,1061,
1062,1064,1065,1066,1067,1068,1070,1071,1072,1073,1086,1101,1109,1114,1117,
1125,1127,1129,1132,1134,1138,1151,1319,1320,1327,1330,1338,1351,1371,1374,
1376,1389,1401,1413,1439,1443,1477,1480,1481,1482,1483,1485,1488,1492,1532,
1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,
1550,1551,1552,1553,1554,1555,1557,1558,1562,1564,1565,1566,1567,1569,1570,
1571,1576,1578,1579,1612,1796,1884,1888,1889,1890,1892,1896,1897,1898,1900,
1901,1902,1903,1904,1908,1909,2042],[1,2,3,4,5,9,10,11,12,15,16,17,24,27,37,
46,47,48,51,56,57,60,62,68,69,73,75,90,146,181,184,191,192,200,201,203,218,
240,244,250,258,324,331,335,337,544,563,564,585,589,683,696,731,732,756,881,
1076,1093,1097,1152,1210,1307,1599,1634,1910,2043],[1,2,7,8,10,13,14,21,23,35,
36,44,53,74,86,89,94,118,121,139,150,172,173,174,175,176,185,187,188,189,272,
292,386,393,416,462,487,528,529,530,533,534,566,570,572,573,575,577,936,1040,
1041,1042,1055,1056,1073,1129,1506,1551,1624,1920,1921,1922,2044],[1,2,4,5,7,
9,10,15,16,21,23,34,35,37,41,42,43,45,46,47,59,62,92,94,105,118,139,141,159,
172,173,182,183,184,190,191,192,193,194,195,196,198,216,386,400,405,434,446,
488,528,529,530,547,559,578,579,580,582,584,585,970,1040,1041,1042,1080,1091,
1098,1142,1506,1590,1625,1918,1919,1923,2045],[1,2,4,5,7,9,10,15,16,21,23,34,
35,37,41,42,43,45,46,47,61,62,94,101,105,118,139,141,159,172,173,182,183,184,
190,191,192,193,194,195,196,198,219,376,386,401,408,423,488,528,529,530,549,
559,578,579,580,582,584,585,971,1040,1041,1042,1082,1090,1095,1142,1506,1596,
1626,1915,1916,1917,2046],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,
22,23,24,25,26,27,28,29,30,31,32,33,48,49,50,51,52,53,55,56,57,58,59,60,61,62,
63,64,66,67,68,69,70,71,72,73,75,76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,
92,93,94,95,96,97,98,99,100,101,102,103,106,108,112,113,117,119,122,123,126,
128,129,130,131,132,133,134,135,136,137,142,145,146,147,149,150,151,154,155,
156,157,160,161,162,165,166,167,168,169,170,199,200,201,202,203,204,207,208,
209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,
230,232,233,234,236,237,238,240,241,242,243,244,246,248,249,250,252,254,255,
258,260,262,263,265,267,269,270,274,277,278,279,281,282,283,284,288,290,291,
292,293,294,295,296,297,298,299,301,302,303,304,306,307,308,310,311,312,313,
314,315,316,317,318,319,320,321,322,324,325,328,330,331,332,333,334,335,336,
337,338,340,341,344,345,346,348,349,351,352,353,354,355,356,357,359,361,363,
365,368,369,371,373,374,378,383,384,387,390,392,394,395,398,402,403,406,407,
410,414,418,424,429,430,431,433,436,437,438,440,441,442,443,444,445,447,449,
450,451,453,454,457,460,463,464,465,466,467,468,469,470,471,474,476,478,479,
482,483,484,486,490,514,516,519,521,586,587,588,589,590,595,596,597,598,599,
600,601,602,603,604,605,606,607,608,609,611,612,613,614,615,616,617,618,621,
622,624,626,627,628,629,634,635,636,637,638,639,640,642,644,646,647,650,653,
654,655,656,662,663,665,666,667,669,670,673,678,679,680,683,686,688,691,693,
694,696,697,702,703,704,705,709,711,712,714,715,716,717,718,720,723,725,726,
727,729,731,732,734,736,740,741,742,743,744,750,751,752,755,756,758,760,761,
763,764,767,768,770,771,773,774,775,781,785,786,787,788,791,792,793,796,798,
799,800,801,809,813,817,821,823,824,826,827,829,831,832,835,837,848,853,854,
857,859,862,866,870,872,873,878,879,880,881,886,887,895,897,898,901,908,910,
912,914,915,916,918,924,925,927,929,930,932,933,934,938,940,943,944,945,946,
948,949,951,955,969,973,977,980,983,984,993,994,995,1000,1011,1015,1144,1146,
1147,1148,1149,1152,1153,1155,1157,1159,1160,1161,1162,1163,1165,1166,1167,
1168,1169,1170,1173,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,
1186,1187,1188,1189,1193,1200,1204,1208,1210,1212,1213,1219,1221,1228,1229,
1232,1235,1243,1246,1247,1253,1255,1258,1259,1265,1273,1274,1275,1277,1282,
1283,1290,1294,1295,1297,1299,1300,1305,1306,1307,1308,1309,1310,1311,1312,
1316,1317,1321,1323,1324,1326,1329,1330,1331,1332,1333,1334,1339,1340,1341,
1342,1349,1353,1363,1366,1368,1369,1372,1373,1388,1391,1393,1404,1409,1411,
1414,1425,1426,1431,1432,1434,1435,1436,1445,1446,1450,1458,1459,1460,1463,
1465,1466,1474,1491,1493,1628,1629,1630,1631,1634,1637,1638,1643,1644,1645,
1646,1647,1648,1650,1651,1653,1657,1658,1661,1664,1668,1669,1678,1680,1696,
1697,1698,1700,1708,1709,1714,1717,1718,1732,1739,1759,1764,1765,1767,1768,
1775,1780,1783,1784,1785,1792,1795,1797,1810,1928,1931,1932,1936,1942,1944,
1951,1965,1975,2047],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,30,31,33,34,48,49,50,51,52,53,54,55,56,57,58,60,62,63,64,65,66,
67,68,69,70,71,72,73,74,75,77,78,79,81,82,83,84,87,88,90,91,93,94,95,96,97,98,
99,100,102,103,104,105,107,108,109,110,111,112,113,114,115,116,119,120,121,
122,123,124,126,127,128,131,132,134,135,136,137,138,140,141,142,146,147,149,
151,152,153,155,156,157,158,159,160,161,162,164,168,199,200,201,202,203,204,
205,206,207,208,209,210,211,212,214,218,220,221,222,223,226,227,228,229,230,
231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,
250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,266,268,269,271,
272,273,274,275,276,277,278,280,281,283,284,285,286,287,290,293,297,299,300,
302,308,309,310,311,312,313,316,317,322,323,324,326,327,328,330,331,333,335,
336,337,339,340,341,342,344,345,347,348,350,351,353,354,355,358,359,361,364,
366,374,375,378,379,380,381,382,385,389,394,395,403,411,414,417,418,420,421,
422,424,430,440,441,447,454,457,459,460,467,471,476,479,482,488,491,494,495,
496,499,500,501,502,504,505,507,508,509,512,514,515,516,518,519,521,586,587,
588,589,590,591,592,593,594,595,596,597,599,602,603,605,606,607,608,610,611,
612,614,617,618,619,620,621,622,623,624,625,626,630,631,632,634,635,636,638,
639,640,641,643,644,645,646,647,648,651,652,654,655,657,658,659,661,662,663,
664,665,668,669,672,673,674,675,676,677,681,682,683,684,685,686,687,688,689,
690,691,692,693,694,695,696,697,698,699,700,701,702,706,707,708,710,715,716,
719,720,721,723,727,728,729,730,733,737,738,739,740,741,745,746,747,748,749,
752,753,754,756,757,758,759,761,763,764,766,768,769,772,773,781,783,784,785,
786,787,788,790,791,794,796,802,805,807,808,809,810,811,812,813,814,815,816,
818,819,821,822,825,827,829,830,832,833,836,837,840,844,855,857,859,860,862,
864,866,870,871,872,873,874,877,878,880,881,883,884,885,886,887,888,889,890,
894,901,903,905,907,908,910,911,940,977,996,997,1000,1017,1020,1027,1029,1144,
1145,1146,1149,1150,1151,1154,1158,1160,1161,1163,1166,1170,1173,1174,1176,
1177,1178,1182,1183,1185,1186,1187,1188,1189,1190,1194,1195,1196,1199,1202,
1206,1209,1210,1211,1213,1217,1218,1220,1223,1226,1229,1230,1231,1233,1234,
1235,1236,1237,1239,1243,1245,1246,1247,1248,1249,1250,1253,1254,1255,1256,
1257,1258,1259,1272,1274,1276,1283,1284,1290,1296,1300,1304,1309,1313,1314,
1326,1328,1335,1337,1341,1342,1344,1346,1350,1353,1357,1358,1367,1369,1379,
1382,1388,1403,1407,1410,1433,1437,1438,1441,1448,1451,1452,1453,1454,1456,
1457,1458,1463,1464,1468,1469,1470,1471,1472,1475,1630,1631,1632,1633,1635,
1637,1638,1643,1650,1656,1659,1662,1664,1668,1669,1670,1671,1673,1674,1675,
1677,1679,1705,1737,1738,1739,1763,1768,1786,1800,1925,1926,1927,1935,1936,
1938,1946,2048],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,32,34,48,49,50,51,52,53,55,56,57,58,60,62,63,64,66,67,68,69,70,71,
72,73,75,78,80,81,82,83,84,85,86,88,89,90,91,94,98,99,100,105,106,107,108,109,
110,111,112,114,115,116,117,120,123,124,127,128,130,133,136,141,143,144,145,
146,150,152,153,157,158,159,160,163,164,199,200,201,202,203,204,207,208,209,
210,211,212,214,217,218,220,221,222,223,227,230,232,235,236,238,239,240,243,
244,246,247,248,250,251,252,253,255,257,258,259,263,264,276,277,280,281,283,
285,286,292,293,294,296,298,299,300,302,306,307,310,311,312,313,317,318,322,
323,324,325,326,328,330,331,333,334,335,337,339,342,343,344,346,347,349,350,
351,352,354,356,357,359,360,364,365,366,367,382,388,390,391,399,404,406,409,
411,419,422,426,427,428,431,438,443,450,452,455,459,463,466,468,469,475,478,
488,494,495,496,512,588,589,595,596,597,598,599,600,601,603,604,605,606,607,
611,613,614,617,620,621,622,624,625,626,627,633,634,636,641,642,643,645,648,
649,650,652,653,655,656,662,664,666,669,670,673,675,677,679,682,683,691,693,
694,695,696,697,709,710,711,715,722,730,731,732,735,738,739,740,749,750,753,
756,757,758,765,767,773,774,775,776,781,786,789,796,801,802,808,810,812,813,
814,817,818,823,825,826,840,843,853,855,856,857,858,862,868,872,878,881,884,
887,888,889,890,895,896,898,900,903,905,906,908,909,921,926,948,956,957,961,
962,998,1012,1146,1148,1153,1154,1155,1156,1157,1159,1161,1162,1163,1165,1168,
1169,1170,1172,1173,1174,1177,1194,1195,1199,1210,1216,1218,1219,1221,1231,
1237,1243,1244,1247,1252,1254,1258,1259,1266,1268,1270,1273,1280,1288,1289,
1291,1298,1300,1301,1302,1305,1307,1309,1311,1339,1350,1356,1359,1370,1373,
1375,1379,1382,1389,1390,1391,1414,1428,1434,1448,1451,1459,1460,1466,1467,
1472,1638,1639,1643,1645,1648,1649,1651,1652,1659,1660,1662,1663,1665,1678,
1689,1710,1721,1729,1732,1737,1758,1767,1768,1769,1777,1778,1784,1933,1935,
1939,1941,1945,1951,1958,2049],[1,2,3,6,7,10,11,12,13,14,17,18,19,20,21,22,23,
25,28,32,33,48,49,50,51,52,53,54,55,56,57,58,60,63,64,65,66,67,70,71,72,74,77,
78,80,81,82,83,84,85,86,88,89,94,98,99,100,104,106,117,118,121,123,128,130,
133,135,136,137,138,139,140,142,145,146,147,150,154,163,165,166,167,199,202,
203,204,205,206,207,208,209,210,211,212,214,218,220,221,222,223,227,228,229,
230,231,232,238,244,245,246,252,254,255,256,258,260,261,263,269,271,272,274,
277,287,289,292,293,294,298,306,307,309,310,311,312,317,318,322,324,325,327,
328,329,330,331,334,335,337,340,346,348,349,351,352,354,356,357,358,365,368,
371,373,383,384,386,390,392,393,398,402,403,406,407,410,412,414,416,421,424,
425,426,429,431,438,443,444,448,450,451,452,455,457,460,462,463,466,468,469,
470,471,473,477,478,487,492,498,511,517,586,587,588,590,592,593,595,596,597,
598,599,600,601,602,603,604,605,607,608,611,612,614,617,619,621,626,627,636,
637,642,650,653,654,656,657,658,660,661,666,669,670,671,672,673,674,679,680,
683,684,685,687,696,697,700,702,709,713,714,715,716,718,722,724,731,732,734,
736,750,761,765,767,770,781,784,788,796,797,798,800,801,809,811,813,817,823,
824,826,828,829,831,834,835,841,852,853,854,858,859,860,861,862,866,878,879,
880,887,894,895,897,898,899,904,912,914,915,924,927,929,936,938,940,943,944,
945,948,966,969,974,980,984,985,987,988,993,994,995,999,1007,1008,1011,1013,
1014,1015,1025,1144,1145,1146,1149,1153,1155,1157,1158,1159,1161,1162,1163,
1164,1165,1167,1169,1171,1182,1183,1185,1186,1188,1189,1192,1193,1194,1200,
1201,1204,1205,1213,1214,1219,1221,1222,1224,1225,1228,1235,1237,1239,1240,
1243,1244,1248,1250,1253,1255,1258,1271,1282,1285,1301,1302,1305,1306,1307,
1308,1311,1314,1316,1323,1324,1329,1331,1332,1334,1339,1345,1349,1355,1360,
1362,1365,1368,1372,1374,1381,1386,1391,1393,1398,1404,1409,1411,1423,1431,
1432,1434,1435,1436,1442,1446,1461,1466,1474,1491,1493,1631,1632,1635,1636,
1639,1640,1641,1651,1654,1655,1661,1662,1664,1676,1677,1686,1687,1688,1689,
1691,1696,1697,1712,1715,1716,1717,1718,1731,1754,1755,1759,1761,1764,1765,
1767,1775,1777,1797,1805,1810,1925,1934,1944,1945,1947,1952,1959,1960,1961,
1964,1984,2050],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,
25,26,27,28,32,33,34,48,49,50,51,52,53,55,56,57,58,60,62,63,64,66,67,68,69,70,
71,72,73,75,78,80,81,82,83,84,85,86,88,89,90,91,94,98,99,100,105,106,107,109,
110,111,114,115,116,117,120,123,124,125,127,128,130,133,135,136,137,141,142,
143,144,145,146,147,148,150,152,153,154,157,158,159,160,164,165,166,167,199,
200,201,202,203,204,207,208,209,210,211,212,214,218,220,221,222,223,227,230,
232,235,236,238,239,240,243,244,246,247,248,250,251,252,253,254,255,257,258,
259,260,263,264,269,274,276,277,280,281,285,286,292,293,294,298,300,302,305,
306,307,310,311,312,313,317,318,322,323,324,325,326,328,330,331,333,334,335,
337,339,340,342,343,346,347,348,349,350,351,352,354,356,357,360,362,364,365,
366,367,368,371,373,382,383,384,388,390,391,392,398,399,402,403,404,406,407,
409,410,411,414,419,422,424,427,428,429,431,438,443,444,450,451,457,459,460,
461,463,466,468,469,470,471,475,478,488,489,493,494,495,496,497,503,506,510,
512,513,520,522,586,587,588,589,590,595,596,597,598,599,600,601,602,603,604,
605,606,607,608,611,612,614,617,620,621,624,625,626,627,633,636,637,641,642,
643,645,648,649,650,652,653,654,655,656,662,664,666,669,670,673,675,677,679,
680,682,683,691,695,696,697,702,709,710,714,715,716,718,730,731,732,734,735,
736,738,739,749,750,753,757,758,761,762,767,770,773,776,780,781,788,789,796,
798,800,801,802,808,809,810,812,813,814,817,818,823,824,825,826,829,831,835,
840,843,853,854,855,856,859,862,866,868,878,879,880,882,884,887,888,889,890,
895,896,897,898,900,903,905,906,909,912,914,915,921,924,926,927,929,931,938,
940,943,944,945,948,952,953,954,956,957,969,972,976,980,984,993,994,995,1011,
1015,1019,1021,1028,1030,1144,1146,1149,1153,1154,1155,1156,1157,1159,1161,
1162,1163,1165,1167,1169,1170,1172,1173,1174,1178,1182,1183,1185,1186,1187,
1188,1189,1193,1195,1197,1198,1199,1200,1204,1213,1216,1218,1219,1221,1228,
1231,1235,1243,1252,1253,1254,1255,1256,1258,1266,1268,1270,1276,1280,1282,
1288,1289,1291,1298,1303,1305,1306,1307,1308,1311,1316,1323,1324,1329,1331,
1332,1334,1339,1349,1350,1356,1359,1368,1372,1378,1379,1380,1382,1389,1390,
1391,1393,1396,1397,1400,1404,1409,1411,1429,1430,1431,1432,1434,1435,1436,
1446,1448,1451,1455,1466,1472,1474,1491,1493,1630,1631,1642,1649,1651,1652,
1656,1659,1660,1661,1663,1664,1665,1696,1697,1699,1710,1717,1718,1722,1729,
1737,1738,1741,1743,1752,1759,1760,1762,1763,1764,1765,1766,1767,1769,1772,
1775,1778,1781,1786,1797,1798,1810,1929,1930,1938,1941,1944,1956,1957,1971,
1976,1978,1985,2051],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,
24,25,26,27,28,30,31,33,48,49,50,51,52,53,55,56,57,58,60,62,63,64,66,67,68,69,
70,71,72,73,75,78,79,81,82,83,84,87,88,90,91,93,94,95,96,97,98,99,100,102,103,
108,112,113,118,119,122,123,126,128,131,132,134,135,136,137,139,142,143,144,
146,147,149,151,154,155,156,157,160,161,162,165,166,167,168,199,200,201,202,
203,204,207,208,209,210,211,212,217,218,223,226,227,230,232,233,234,236,237,
238,240,241,242,243,244,246,248,249,250,252,254,255,258,260,262,263,269,274,
277,278,281,283,284,289,290,293,296,297,299,302,308,310,311,312,313,316,317,
322,324,328,329,330,331,333,335,336,337,340,341,343,344,345,348,351,353,354,
355,359,360,361,367,368,370,371,372,373,374,377,378,383,384,386,392,394,395,
396,398,402,407,410,418,429,430,435,439,440,441,444,447,451,454,456,457,467,
470,471,475,476,477,479,481,482,514,516,519,521,588,589,590,595,596,597,599,
602,603,605,606,607,608,612,613,618,622,624,626,627,633,634,635,637,638,639,
640,642,644,646,647,649,650,654,655,656,660,662,663,665,666,669,670,671,680,
683,686,688,691,693,694,696,702,704,705,711,714,715,716,718,720,723,724,727,
729,734,736,740,741,752,756,758,763,764,768,770,773,774,775,785,787,788,789,
791,798,800,813,821,824,827,828,829,831,832,835,837,854,859,862,863,865,867,
868,869,870,872,873,875,878,879,881,886,887,892,893,897,901,902,908,910,912,
919,927,930,946,958,977,1000,1016,1018,1148,1149,1156,1160,1161,1163,1164,
1166,1167,1168,1169,1170,1171,1172,1173,1176,1177,1181,1184,1193,1194,1200,
1204,1205,1210,1214,1221,1228,1229,1237,1238,1243,1246,1247,1255,1256,1259,
1260,1261,1262,1264,1267,1270,1273,1274,1276,1279,1281,1282,1283,1290,1298,
1306,1308,1323,1326,1333,1340,1341,1350,1352,1363,1366,1385,1393,1401,1408,
1432,1436,1445,1448,1458,1463,1465,1629,1637,1640,1645,1647,1648,1650,1652,
1653,1656,1661,1662,1691,1700,1701,1714,1718,1737,1739,1742,1746,1751,1752,
1753,1754,1762,1782,1932,1933,1946,1947,1950,1954,1957,2052],[1,2,3,4,5,6,7,
10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,33,34,48,51,52,56,57,58,
59,60,61,62,63,64,66,67,68,69,70,71,72,73,75,76,78,84,88,90,91,92,94,98,100,
101,105,107,109,110,111,114,115,116,118,120,123,124,125,127,128,129,135,136,
137,139,141,142,146,147,148,151,152,153,154,156,157,158,159,160,164,165,166,
167,199,200,201,203,204,207,208,209,210,211,212,216,218,219,223,227,230,232,
235,236,239,240,243,244,247,248,250,251,253,254,255,257,258,259,260,264,265,
276,277,280,281,282,284,285,286,289,300,302,303,305,310,311,312,313,315,317,
322,323,324,326,328,329,330,331,333,335,337,339,340,341,342,347,348,350,351,
354,355,361,362,363,364,366,368,376,382,383,384,386,392,398,400,401,402,403,
405,407,408,411,414,422,423,424,429,434,442,444,446,451,459,460,461,477,483,
488,489,493,494,495,496,497,503,506,510,512,513,520,522,588,589,595,596,599,
600,602,603,604,605,606,607,609,611,614,620,624,625,626,628,629,637,640,641,
643,645,648,652,655,656,660,662,664,665,667,669,670,671,675,677,678,679,680,
682,683,691,695,696,710,716,724,730,731,732,734,736,738,739,749,752,753,755,
756,757,758,761,762,770,773,774,775,777,778,780,786,787,788,798,802,804,808,
809,810,812,814,818,820,825,828,829,831,835,840,842,845,850,855,857,859,862,
866,878,879,880,881,882,884,887,888,889,890,891,897,903,905,927,931,940,942,
952,953,954,970,971,972,976,1000,1019,1021,1024,1028,1030,1146,1147,1154,1155,
1161,1163,1164,1166,1167,1169,1170,1171,1173,1174,1175,1189,1193,1194,1195,
1197,1198,1199,1200,1204,1205,1208,1210,1214,1215,1218,1227,1228,1231,1232,
1237,1242,1246,1247,1251,1254,1255,1273,1278,1282,1287,1292,1293,1297,1299,
1300,1303,1306,1307,1309,1310,1312,1316,1318,1329,1350,1364,1368,1378,1379,
1380,1382,1396,1397,1400,1409,1427,1429,1430,1443,1448,1450,1451,1455,1472,
1638,1640,1642,1643,1644,1658,1659,1661,1662,1668,1680,1684,1690,1691,1697,
1711,1714,1722,1727,1737,1740,1743,1744,1754,1760,1772,1784,1798,1809,1930,
1935,1940,1942,1947,1953,1955,2053],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,
19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,48,49,50,51,52,53,54,55,56,57,
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,
107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,126,
127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,
146,147,149,150,151,152,153,155,156,157,158,159,160,161,162,164,168,169,170,
199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,218,
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,
295,297,298,299,300,301,302,303,304,306,307,308,309,310,311,312,313,314,315,
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,
354,355,356,357,358,359,360,361,363,364,365,366,367,369,370,371,372,373,374,
375,376,377,378,379,380,381,382,385,386,387,388,389,390,391,392,393,394,395,
396,397,399,400,401,402,403,404,405,406,408,409,410,411,412,413,414,415,416,
417,418,419,420,421,422,423,424,425,427,428,430,431,432,433,434,435,436,437,
438,439,440,441,442,443,444,445,446,447,448,449,450,451,453,454,456,457,458,
459,460,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,
479,480,481,482,483,484,485,486,487,488,490,491,494,495,496,499,500,501,502,
504,505,507,508,509,512,514,515,516,518,519,521,588,589,590,591,592,593,594,
595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,612,615,616,
617,618,619,620,621,622,623,624,625,627,628,629,630,631,632,633,634,635,636,
638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,657,
658,659,660,661,662,663,664,665,666,667,668,671,672,673,674,675,676,677,678,
679,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,
699,700,701,702,703,706,707,708,709,710,712,713,714,717,718,719,720,721,723,
724,725,726,727,728,729,730,733,735,737,738,739,740,741,742,743,744,745,746,
747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,763,764,766,767,
768,769,770,771,772,774,775,776,777,778,779,781,782,783,784,785,786,787,789,
790,791,792,793,794,795,796,797,799,800,801,802,803,804,805,806,807,808,809,
810,811,812,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,830,
831,832,833,834,836,837,838,840,841,842,843,844,845,847,848,849,850,852,853,
854,855,856,857,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,
875,877,878,879,880,881,883,884,885,886,887,888,889,890,891,892,893,894,895,
896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,
915,916,918,919,921,922,923,924,925,926,927,929,932,933,934,935,936,937,938,
939,940,941,942,943,944,945,947,948,949,950,951,955,956,957,958,959,960,963,
964,965,967,968,969,970,971,973,974,975,977,978,980,981,982,983,984,985,986,
989,990,991,992,993,994,995,996,997,1001,1002,1003,1004,1005,1006,1009,1010,
1011,1013,1015,1016,1017,1018,1020,1022,1023,1024,1026,1027,1029,1145,1147,
1149,1150,1151,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1164,1165,
1166,1170,1171,1172,1174,1175,1176,1177,1179,1180,1189,1190,1191,1192,1195,
1196,1199,1201,1202,1203,1205,1206,1207,1208,1209,1210,1211,1212,1214,1215,
1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,
1231,1232,1233,1234,1236,1238,1239,1240,1241,1242,1245,1248,1249,1250,1251,
1252,1254,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,
1270,1271,1272,1273,1274,1275,1277,1278,1279,1280,1281,1283,1284,1285,1286,
1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1304,1305,
1308,1309,1310,1311,1312,1313,1314,1315,1317,1318,1319,1320,1321,1325,1326,
1327,1328,1330,1332,1335,1336,1337,1338,1340,1341,1342,1343,1344,1346,1348,
1349,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1363,1364,1365,1366,
1367,1369,1371,1372,1373,1374,1376,1377,1379,1382,1383,1385,1387,1388,1389,
1390,1392,1394,1395,1401,1402,1403,1404,1405,1406,1407,1408,1410,1411,1412,
1413,1414,1415,1416,1418,1419,1420,1421,1422,1424,1425,1426,1427,1431,1433,
1437,1438,1439,1440,1441,1443,1444,1445,1446,1449,1450,1451,1452,1453,1454,
1456,1457,1458,1459,1460,1462,1463,1464,1468,1469,1470,1471,1472,1474,1475,
1477,1480,1481,1482,1483,1485,1488,1491,1492,1493,1628,1632,1633,1636,1640,
1641,1644,1646,1649,1650,1651,1652,1654,1655,1657,1658,1659,1660,1663,1665,
1666,1667,1669,1670,1671,1672,1673,1674,1675,1678,1679,1681,1682,1683,1684,
1685,1686,1687,1688,1690,1692,1693,1694,1695,1700,1701,1702,1703,1704,1705,
1706,1707,1708,1709,1710,1711,1713,1715,1717,1719,1720,1723,1724,1725,1726,
1727,1728,1729,1733,1734,1735,1736,1740,1742,1744,1745,1746,1747,1748,1749,
1751,1753,1756,1757,1769,1773,1774,1776,1778,1779,1782,1783,1785,1790,1792,
1793,1794,1795,1796,1799,1800,1801,1803,1807,1926,1931,1937,1940,1941,1952,
1954,1962,1963,1967,1968,1969,1970,1972,1974,1977,1979,1980,1982,2054],[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,
33,48,49,50,51,52,53,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,75,
76,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,
102,103,106,108,112,113,117,119,122,123,125,126,128,129,130,131,132,133,134,
135,136,137,142,145,146,147,148,149,150,151,155,156,157,160,161,162,163,168,
169,170,199,200,201,202,203,204,207,208,209,210,211,212,213,214,215,216,218,
219,220,221,222,223,224,225,226,227,230,232,233,234,236,237,238,240,241,242,
243,244,246,248,249,250,252,254,255,258,260,262,263,265,267,269,270,274,277,
278,279,281,282,283,284,288,290,291,292,293,294,295,297,298,299,301,302,303,
304,305,306,307,308,310,311,312,313,314,315,316,317,318,319,320,321,322,324,
325,328,330,331,332,333,334,335,336,337,338,340,341,344,345,346,348,349,351,
352,353,354,355,356,357,359,361,362,363,365,369,371,373,374,378,387,390,392,
394,395,402,403,406,410,414,418,424,426,430,431,433,436,437,438,440,441,442,
443,444,445,447,449,450,451,452,453,454,455,457,460,461,463,464,465,466,467,
468,469,470,471,474,476,478,479,482,483,484,486,489,490,514,516,519,521,588,
589,590,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,612,615,
616,617,618,621,622,624,626,627,628,629,634,635,636,638,639,640,642,644,646,
647,650,653,654,655,662,663,665,666,667,669,673,678,679,683,686,688,691,693,
694,696,697,702,703,709,712,714,717,718,720,722,723,725,726,727,729,740,741,
742,743,744,750,751,752,755,756,758,760,761,762,763,764,765,767,768,770,771,
773,774,775,780,781,785,786,787,791,792,793,796,799,800,801,809,817,821,823,
824,826,827,831,832,837,848,853,854,857,858,862,866,870,872,873,878,879,880,
881,882,886,887,895,897,898,901,908,910,912,914,915,916,917,918,920,924,925,
927,928,929,932,933,934,938,940,943,944,945,948,949,951,955,969,973,977,979,
980,983,984,993,994,995,1000,1011,1015,1147,1149,1153,1155,1157,1159,1160,
1161,1162,1163,1165,1166,1170,1173,1175,1176,1177,1179,1180,1189,1194,1197,
1198,1208,1210,1212,1219,1221,1228,1229,1232,1237,1244,1246,1256,1258,1259,
1265,1273,1274,1275,1276,1277,1283,1290,1294,1295,1297,1299,1301,1302,1303,
1305,1308,1309,1310,1311,1312,1317,1321,1326,1330,1332,1340,1341,1342,1347,
1349,1350,1353,1361,1363,1366,1369,1372,1373,1388,1404,1411,1414,1425,1426,
1431,1445,1446,1447,1448,1450,1458,1459,1460,1463,1473,1474,1491,1493,1628,
1637,1639,1642,1644,1646,1650,1651,1656,1657,1658,1662,1669,1678,1689,1699,
1700,1708,1709,1717,1730,1737,1750,1777,1781,1783,1785,1792,1795,1806,1809,
1929,1931,1945,1946,1948,1949,1955,2055],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,
17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,48,49,50,51,52,53,54,55,56,57,
58,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,81,82,83,84,87,88,90,
91,93,94,95,96,97,98,99,100,102,103,104,105,107,108,109,110,111,112,113,114,
115,116,119,120,121,122,123,124,125,126,127,128,131,132,134,135,136,137,138,
140,141,142,146,147,148,149,151,152,153,154,155,156,157,158,159,160,161,162,
163,164,165,166,167,168,199,200,201,202,203,204,205,206,207,208,209,210,211,
212,217,218,223,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,
241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,
260,261,262,263,264,266,268,269,271,272,273,274,275,276,277,278,280,281,283,
284,285,286,287,290,293,296,297,299,300,302,305,308,309,310,311,312,313,316,
317,322,323,324,326,327,328,330,331,333,335,336,337,339,340,341,342,344,345,
347,348,350,351,353,354,355,358,359,361,362,364,366,368,371,373,374,375,378,
379,380,381,382,383,384,385,389,392,394,395,398,402,407,410,411,417,418,420,
421,422,426,429,430,440,441,444,447,451,452,454,455,457,459,461,467,470,471,
476,479,482,488,489,491,492,493,494,495,496,497,498,499,500,501,502,503,504,
505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,588,
589,590,591,592,593,594,595,596,597,599,602,603,605,606,607,608,610,612,613,
618,619,620,622,623,624,625,627,630,631,632,634,635,637,638,639,640,641,642,
643,644,645,646,647,648,650,651,652,654,655,656,657,658,659,661,662,663,664,
665,666,668,670,672,674,675,676,677,680,681,682,683,684,685,686,687,688,689,
690,691,692,693,694,695,696,698,699,700,701,702,704,705,706,707,708,710,711,
714,715,716,718,719,720,721,722,723,727,728,729,730,733,734,736,737,738,739,
741,745,746,747,748,749,752,753,754,756,757,758,759,762,763,764,765,766,768,
769,770,772,774,775,780,783,784,785,787,788,790,791,794,798,800,802,805,807,
808,810,811,812,813,814,815,816,818,819,821,822,824,825,827,829,830,831,832,
833,835,836,837,839,840,844,846,851,854,855,858,859,860,862,864,870,871,872,
873,874,876,877,878,879,881,882,883,884,885,886,887,888,889,890,894,897,901,
903,905,907,910,911,912,917,920,927,928,930,931,946,952,953,954,961,962,966,
972,976,977,979,987,988,996,997,998,999,1000,1007,1008,1012,1014,1017,1019,
1020,1021,1025,1027,1028,1029,1030,1145,1148,1149,1150,1151,1154,1158,1160,
1161,1166,1167,1168,1169,1170,1174,1176,1177,1181,1184,1190,1193,1195,1196,
1197,1198,1199,1200,1202,1204,1206,1209,1210,1211,1217,1218,1220,1221,1223,
1226,1228,1229,1230,1231,1233,1234,1236,1239,1243,1244,1245,1246,1247,1248,
1249,1250,1254,1255,1257,1272,1273,1274,1282,1283,1284,1290,1296,1301,1302,
1303,1304,1306,1308,1313,1314,1322,1323,1326,1328,1333,1335,1337,1340,1341,
1344,1345,1346,1347,1357,1358,1361,1362,1363,1366,1367,1370,1375,1378,1379,
1380,1381,1382,1384,1386,1393,1396,1397,1398,1399,1400,1403,1407,1410,1417,
1423,1428,1429,1430,1432,1433,1436,1437,1438,1441,1442,1445,1447,1451,1452,
1453,1454,1455,1456,1457,1458,1461,1463,1464,1465,1467,1468,1469,1470,1471,
1472,1473,1475,1476,1478,1479,1484,1486,1487,1489,1490,1629,1632,1633,1639,
1642,1645,1647,1648,1650,1653,1659,1661,1670,1671,1673,1674,1675,1676,1679,
1700,1705,1712,1714,1718,1721,1722,1730,1731,1739,1743,1750,1758,1760,1761,
1770,1771,1772,1787,1788,1789,1791,1798,1800,1802,1804,1805,1808,1811,1926,
1930,1932,1934,1939,1943,1949,1966,1973,1981,1983,2056],[1,2,3,7,10,11,12,17,
18,19,21,22,23,28,29,48,51,52,54,56,58,59,61,63,65,67,70,72,74,76,77,78,84,88,
92,94,98,100,101,104,121,123,125,128,129,136,138,140,143,144,146,148,199,203,
204,205,206,207,208,209,211,212,216,217,219,223,227,228,229,230,231,232,245,
255,256,261,265,271,272,277,282,287,296,303,305,309,311,312,315,317,327,331,
335,337,343,351,354,358,360,362,363,367,397,403,413,414,415,421,424,432,442,
458,460,461,472,475,480,483,485,489,586,587,588,592,593,595,596,599,603,605,
607,609,613,619,626,628,629,633,649,657,658,661,667,669,672,674,678,683,684,
685,687,700,711,715,755,761,762,774,775,779,780,782,784,789,795,803,806,809,
811,813,838,839,846,847,849,851,860,862,866,868,876,880,882,887,894,940,960,
964,965,1009,1144,1145,1147,1148,1152,1156,1158,1161,1163,1168,1172,1175,1188,
1189,1191,1194,1197,1198,1203,1207,1208,1213,1232,1235,1237,1239,1241,1243,
1248,1250,1253,1263,1269,1270,1273,1286,1297,1298,1303,1310,1314,1315,1322,
1351,1354,1384,1392,1399,1417,1440,1632,1635,1642,1644,1645,1652,1662,1664,
1677,1685,1693,1698,1702,1728,1734,1741,1766,1770,1771,1774,1809,1925,1928,
1933,1937,1943,1955,1956,2057],[1,2,3,4,5,7,10,11,12,15,16,17,18,19,21,22,23,
24,26,27,28,29,34,48,51,52,56,58,59,61,62,63,67,68,69,70,72,73,75,76,78,84,88,
90,91,92,94,98,100,101,105,107,109,110,111,114,115,116,118,120,123,124,127,
128,129,136,139,141,146,152,153,157,158,159,160,163,164,199,200,201,203,204,
207,208,209,211,212,216,217,219,223,227,230,232,235,236,239,240,243,247,248,
250,251,253,255,257,259,264,265,276,277,280,281,282,285,286,289,296,300,302,
303,311,312,313,315,317,323,326,329,331,333,335,337,339,342,347,350,351,354,
363,364,366,376,382,386,400,401,403,405,408,411,414,422,423,424,426,434,442,
446,452,455,459,460,477,483,488,494,495,496,512,586,587,588,589,595,596,599,
603,605,606,607,609,613,620,624,625,626,628,629,641,643,645,648,652,655,660,
662,664,667,669,671,675,677,678,682,683,691,695,710,711,715,722,724,730,738,
739,749,753,755,757,758,761,765,773,774,775,777,778,802,804,808,809,810,812,
813,814,818,820,825,828,840,842,845,850,855,858,862,866,880,884,887,888,889,
890,891,903,905,940,942,961,962,970,971,998,1012,1024,1144,1147,1148,1152,
1154,1161,1163,1164,1168,1170,1171,1173,1174,1175,1178,1187,1188,1189,1195,
1199,1205,1208,1213,1214,1215,1218,1227,1231,1232,1235,1242,1243,1244,1251,
1253,1254,1256,1273,1276,1278,1287,1292,1293,1297,1301,1302,1310,1318,1350,
1364,1370,1375,1379,1382,1427,1428,1443,1448,1451,1467,1472,1630,1639,1640,
1644,1645,1656,1659,1664,1684,1690,1698,1711,1716,1721,1727,1737,1738,1740,
1744,1755,1758,1763,1786,1806,1928,1938,1939,1940,1948,1950,1959,2058],[1,2,3,
4,5,6,7,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,48,
49,50,51,52,53,55,56,57,58,60,62,63,64,66,67,68,69,70,71,72,73,75,78,79,81,82,
83,84,87,88,90,91,93,94,95,96,97,98,99,100,102,103,108,112,113,118,119,122,
123,125,126,128,131,132,134,135,136,137,139,142,143,144,146,147,148,149,151,
155,156,157,160,161,162,163,168,199,200,201,202,203,204,207,208,209,210,211,
212,214,218,220,221,222,223,226,227,230,232,233,234,236,237,238,240,241,242,
243,244,246,248,249,250,252,254,255,258,260,262,263,269,274,277,278,281,283,
284,289,290,293,297,299,302,305,308,310,311,312,313,316,317,322,324,328,329,
330,331,333,335,336,337,340,341,343,344,345,348,351,353,354,355,359,360,361,
362,367,370,372,374,377,378,386,394,395,396,403,414,418,424,426,430,435,439,
440,441,447,452,454,455,456,457,460,461,467,471,475,476,477,479,481,482,489,
514,516,519,521,586,587,588,589,590,595,596,597,599,602,603,605,606,607,608,
611,612,614,617,618,621,622,624,626,633,634,635,636,638,639,640,644,646,647,
649,654,655,660,662,663,665,669,671,673,683,686,688,691,693,694,696,697,702,
715,716,720,722,723,724,727,729,740,741,752,756,758,761,762,763,764,765,768,
773,780,781,785,786,787,788,789,791,796,809,813,821,827,828,829,832,837,857,
858,859,862,863,865,866,867,868,869,870,872,873,875,878,880,881,882,886,887,
892,893,901,902,908,910,917,919,920,928,940,958,977,979,1000,1016,1018,1144,
1146,1149,1156,1160,1161,1163,1164,1166,1170,1171,1172,1173,1176,1177,1178,
1182,1183,1185,1186,1187,1188,1189,1197,1198,1205,1210,1213,1214,1229,1235,
1238,1243,1244,1246,1247,1253,1255,1258,1259,1260,1261,1262,1264,1267,1270,
1274,1279,1281,1283,1290,1298,1300,1301,1302,1303,1309,1326,1341,1342,1347,
1352,1353,1361,1369,1385,1388,1401,1408,1447,1458,1463,1473,1630,1631,1637,
1638,1639,1640,1642,1643,1650,1652,1664,1668,1669,1701,1716,1730,1739,1741,
1742,1746,1750,1751,1753,1755,1766,1768,1782,1936,1949,1953,1954,1956,1958,
1959,2059],[1,2,3,6,7,10,11,12,17,18,19,20,21,22,23,25,26,28,29,33,48,51,52,
54,56,57,58,59,60,61,63,64,65,66,67,70,71,72,74,76,77,78,84,88,91,92,94,98,
100,101,104,121,123,128,129,135,136,137,138,140,142,143,144,146,147,151,154,
156,163,165,166,167,199,203,204,205,206,207,208,209,210,211,212,216,218,219,
223,227,228,229,230,231,232,236,243,244,245,248,254,255,256,258,260,261,265,
271,272,277,282,284,287,303,309,310,311,312,315,317,322,324,327,328,330,331,
335,337,340,341,343,348,351,354,355,358,360,361,363,367,368,383,384,392,397,
398,402,403,407,413,414,415,421,424,426,429,432,442,444,451,452,455,458,460,
472,475,480,483,485,492,498,511,517,588,592,593,595,596,599,600,602,603,604,
605,606,607,609,611,614,619,628,629,633,637,640,649,656,657,658,661,665,667,
670,672,674,678,679,680,683,684,685,687,696,700,716,722,731,732,734,736,752,
755,761,765,770,773,774,775,779,782,784,786,787,788,789,795,798,803,806,809,
811,829,831,835,838,847,849,857,858,859,860,862,866,868,878,879,880,887,894,
897,927,940,960,964,965,966,987,988,999,1000,1007,1008,1009,1014,1025,1145,
1146,1147,1155,1156,1158,1161,1166,1167,1169,1172,1173,1175,1189,1191,1193,
1200,1203,1204,1207,1208,1228,1232,1239,1241,1244,1246,1247,1248,1250,1255,
1256,1263,1269,1270,1273,1276,1282,1286,1297,1298,1299,1300,1301,1302,1306,
1307,1309,1310,1312,1314,1315,1316,1329,1345,1351,1354,1362,1368,1381,1386,
1392,1398,1409,1423,1440,1442,1450,1461,1632,1639,1643,1644,1652,1656,1658,
1661,1668,1676,1680,1685,1693,1697,1702,1712,1714,1728,1731,1734,1752,1761,
1762,1774,1784,1805,1806,1927,1934,1937,1942,1948,1957,1958,2060],[1,2,3,6,7,
10,11,12,13,14,17,18,19,20,21,22,23,25,26,28,32,48,49,50,51,52,53,54,55,56,57,
58,60,63,64,65,66,67,70,71,72,74,77,78,80,81,82,83,84,85,86,88,89,91,94,98,99,
100,104,106,108,112,117,118,121,123,125,128,130,133,136,138,139,140,145,146,
148,150,199,202,203,204,205,206,207,208,209,210,211,212,214,217,218,220,221,
222,223,227,228,229,230,231,232,236,238,243,244,245,246,248,252,255,256,258,
261,263,271,272,277,283,287,289,292,293,294,296,298,299,305,306,307,309,310,
311,312,317,318,322,324,325,327,328,329,330,331,334,335,337,344,346,349,351,
352,354,356,357,358,359,362,365,386,390,393,406,412,416,421,425,431,438,443,
448,450,461,462,463,466,468,469,473,477,478,487,489,588,592,593,595,596,597,
598,599,600,601,603,604,605,606,607,611,613,614,617,619,621,622,627,634,636,
642,650,653,656,657,658,660,661,666,670,671,672,673,674,679,683,684,685,687,
693,694,696,697,700,709,711,713,715,724,731,732,740,750,762,767,773,774,775,
780,781,784,786,796,797,801,811,813,817,823,826,828,834,839,841,846,851,852,
853,857,860,861,862,872,876,878,882,887,894,895,898,899,904,908,936,948,974,
985,1013,1145,1146,1148,1153,1155,1157,1158,1159,1161,1162,1164,1165,1168,
1169,1171,1173,1177,1192,1197,1198,1201,1205,1214,1219,1221,1222,1224,1225,
1239,1240,1243,1247,1248,1250,1256,1258,1259,1271,1273,1276,1285,1300,1303,
1305,1307,1309,1311,1314,1322,1339,1355,1360,1365,1373,1374,1384,1391,1399,
1414,1417,1434,1459,1460,1466,1632,1636,1640,1641,1642,1643,1645,1648,1651,
1654,1655,1656,1678,1686,1687,1688,1699,1715,1732,1767,1768,1770,1771,1781,
1784,1927,1929,1943,1950,1951,1952,1953,2061],[1,2,3,8,9,11,12,17,21,22,36,37,
51,52,56,58,63,72,100,146,171,180,181,188,193,207,209,212,223,317,337,424,460,
525,531,532,536,544,550,558,587,607,669,813,866,1033,1046,1063,1081,1123,1136,
1213,1494,1507,1508,1520,1526,1812,1871,1877,1986,2062],[1,2,3,8,9,10,11,12,
17,36,37,40,48,51,52,56,58,171,175,177,180,181,184,199,203,204,212,223,525,
531,532,536,541,544,552,586,587,588,1031,1045,1046,1050,1052,1074,1093,1144,
1494,1507,1508,1512,1518,1818,1830,1832,1986,2063],[1,2,3,7,8,9,11,12,17,18,
19,23,28,36,37,43,44,45,51,52,56,58,67,70,78,123,128,146,171,180,181,187,190,
208,211,212,223,311,337,403,414,523,524,525,531,532,536,537,539,544,555,556,
587,603,669,715,761,1032,1046,1060,1078,1124,1141,1253,1494,1507,1508,1513,
1529,1816,1838,1876,1986,2064],[1,2,3,4,8,9,11,12,15,17,24,26,36,37,41,47,51,
52,56,58,69,75,91,160,171,180,181,182,191,201,212,223,236,281,333,525,526,531,
532,536,544,562,564,587,691,773,1037,1046,1087,1097,1187,1494,1507,1508,1829,
1862,1986,2065],[1,2,3,5,8,9,11,12,16,17,26,27,36,37,42,46,51,52,56,58,68,73,
91,157,171,180,181,183,192,200,212,223,236,302,313,525,527,531,532,536,544,
563,576,587,655,773,1034,1046,1076,1089,1178,1494,1507,1508,1831,1836,1986,
2066],[1,2,3,6,8,9,11,12,14,17,20,33,36,37,38,49,51,52,56,57,58,60,64,82,83,
137,142,171,174,179,180,181,189,212,214,220,223,238,258,274,310,322,324,328,
340,471,525,531,532,536,544,545,548,551,554,587,612,614,697,788,796,859,1035,
1044,1046,1048,1053,1069,1116,1185,1494,1507,1508,1516,1519,1523,1524,1813,
1814,1833,1834,1986,2067],[1,2,3,6,8,9,11,12,13,17,20,33,36,37,39,50,51,52,56,
57,58,60,64,81,99,137,142,171,176,178,180,181,185,212,221,222,223,244,252,269,
310,322,324,330,340,457,525,531,532,536,542,543,544,546,557,587,608,611,673,
716,781,788,1036,1043,1046,1047,1051,1054,1105,1182,1494,1507,1508,1515,1517,
1521,1525,1815,1817,1828,1873,1986,2068],[1,2,3,6,7,8,9,10,11,12,13,14,20,21,
23,33,36,37,38,39,40,43,44,45,48,49,50,52,53,55,57,58,60,71,78,81,82,83,86,89,
94,99,100,117,130,133,136,137,142,145,146,150,171,174,175,176,177,178,179,180,
184,185,187,188,189,190,193,197,202,204,214,218,220,221,222,269,274,292,293,
306,331,348,351,356,357,365,373,392,402,403,406,410,414,424,431,444,450,451,
457,460,466,468,469,471,478,523,524,525,531,532,533,536,538,540,541,542,543,
545,546,548,550,551,552,553,554,555,556,557,558,561,565,566,567,568,569,570,
571,572,573,574,575,577,580,617,702,767,854,914,927,929,938,940,943,945,948,
984,1011,1015,1031,1032,1033,1035,1036,1043,1044,1045,1051,1052,1053,1054,
1060,1063,1069,1074,1077,1083,1084,1086,1092,1094,1096,1099,1100,1101,1102,
1105,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,
1122,1123,1124,1125,1126,1127,1129,1132,1134,1136,1138,1141,1491,1494,1495,
1498,1501,1504,1505,1509,1531,1559,1572,1574,1575,1577,1584,1588,1592,1597,
1602,1603,1604,1607,1608,1610,1612,1617,1618,1620,1621,1622,1812,1813,1814,
1815,1816,1817,1818,1821,1893,1914,1987,1988,1989,1990,1991,1992,1993,2069],[
1,2,3,7,10,11,12,17,18,19,21,22,23,28,35,48,51,52,56,58,63,67,70,72,78,84,88,
94,98,100,123,128,136,146,172,173,199,203,204,207,208,209,211,212,223,227,230,
232,255,277,311,312,317,331,335,337,351,354,403,414,424,460,528,529,530,586,
587,588,595,596,599,603,605,607,626,669,683,715,761,809,813,862,866,880,887,
940,1040,1144,1161,1163,1188,1189,1213,1235,1243,1253,1664,1826,1995,1996,
1997,2070],[1,2,3,11,12,18,19,21,35,52,56,58,67,72,100,139,146,163,172,199,
207,208,223,289,312,337,424,426,460,528,586,595,626,671,715,858,866,1041,1164,
1188,1301,1755,1826,1996,2071],[1,2,3,11,12,18,19,21,35,52,56,58,67,72,100,
118,146,163,172,199,207,208,223,312,329,337,424,426,460,528,586,595,626,660,
715,858,866,1042,1171,1188,1301,1716,1826,1996,2072],[1,2,8,9,21,35,36,37,61,
74,143,171,172,188,193,480,525,528,534,549,1033,1070,1075,1497,1624,1626,
2073],[1,2,8,9,21,35,36,37,59,74,144,171,172,188,193,485,525,528,534,547,1033,
1072,1085,1499,1624,1625,2074],[1,2,3,7,8,10,11,12,17,18,19,21,22,23,28,36,40,
48,51,52,54,56,58,63,65,67,70,72,74,77,78,84,88,94,98,100,104,121,123,128,136,
138,140,146,175,177,180,199,203,204,205,206,207,208,209,211,212,223,227,228,
229,230,231,232,245,255,256,261,271,272,277,287,309,311,312,317,327,331,335,
337,351,354,358,403,414,421,424,460,531,532,534,535,541,552,586,587,588,592,
593,595,596,599,603,605,607,619,626,657,658,661,669,672,674,683,684,685,687,
700,715,761,784,809,811,813,860,862,866,880,887,894,940,1045,1046,1050,1052,
1056,1059,1066,1068,1144,1145,1158,1161,1163,1188,1189,1194,1213,1235,1237,
1239,1243,1248,1250,1253,1314,1507,1512,1518,1533,1548,1632,1635,1662,1664,
1677,1827,1832,1925,2000,2006,2075],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,
18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,36,40,48,49,50,51,52,53,54,55,56,
58,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,81,82,83,84,87,88,90,91,
93,94,95,96,97,98,99,100,102,103,104,105,107,108,109,110,111,112,113,114,115,
116,119,120,121,122,123,124,126,127,128,131,132,134,135,136,137,138,140,141,
142,147,149,151,152,153,155,156,157,158,159,160,161,162,164,168,175,177,180,
185,189,199,200,201,202,203,204,205,206,207,208,209,210,211,212,223,226,227,
228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,245,246,247,
248,249,250,251,252,253,254,255,256,257,259,260,261,262,263,264,266,268,269,
271,272,273,274,275,276,277,278,280,281,283,284,285,286,287,290,293,297,299,
300,302,308,309,311,312,313,316,317,323,326,327,333,336,339,340,341,342,344,
345,347,348,350,351,353,354,355,358,359,361,364,366,374,375,378,379,380,381,
382,385,389,394,395,411,417,418,420,421,422,430,440,441,447,454,457,459,467,
471,476,479,482,488,491,494,495,496,499,500,501,502,504,505,507,508,509,512,
514,515,516,518,519,521,531,534,535,541,554,557,568,570,588,589,590,591,592,
593,594,595,596,597,599,602,603,605,606,607,608,610,612,618,619,620,622,623,
624,625,630,631,632,634,635,638,639,640,641,643,644,645,646,647,648,651,652,
654,655,657,658,659,661,662,663,664,665,668,672,674,675,676,677,681,682,684,
685,686,687,688,689,690,691,692,693,694,695,698,699,700,701,702,706,707,708,
710,719,720,721,723,727,728,729,730,733,737,738,739,741,745,746,747,748,749,
752,753,754,757,758,759,763,764,766,768,769,772,783,784,785,787,790,791,794,
802,805,807,808,810,811,812,814,815,816,818,819,821,822,825,827,830,832,833,
836,837,840,844,855,860,862,864,870,871,872,873,874,877,883,884,885,886,887,
888,889,890,894,901,903,905,907,910,911,977,996,997,1017,1020,1027,1029,1045,
1046,1050,1054,1056,1057,1058,1059,1062,1065,1066,1068,1069,1101,1145,1149,
1150,1151,1154,1158,1160,1161,1166,1170,1174,1176,1177,1190,1195,1196,1199,
1202,1206,1209,1211,1217,1218,1220,1223,1226,1229,1230,1231,1233,1234,1236,
1239,1245,1248,1249,1250,1254,1257,1272,1274,1283,1284,1290,1296,1304,1313,
1314,1326,1328,1335,1337,1341,1344,1346,1357,1358,1367,1379,1382,1403,1407,
1410,1433,1437,1438,1441,1451,1452,1453,1454,1456,1457,1458,1463,1464,1468,
1469,1470,1471,1472,1475,1516,1518,1525,1532,1533,1546,1547,1548,1549,1566,
1567,1577,1582,1591,1632,1633,1650,1659,1670,1671,1673,1674,1675,1679,1705,
1800,1827,1855,1895,1909,1926,2000,2005,2076],[1,2,3,6,7,8,10,11,12,17,18,19,
20,21,22,23,25,28,33,36,38,39,40,48,51,52,54,56,57,58,60,63,64,65,66,67,70,71,
72,74,77,78,84,88,94,98,100,104,121,123,128,135,136,137,138,140,142,147,154,
163,165,166,167,175,177,178,179,180,197,199,203,204,205,206,207,208,209,210,
211,212,218,223,227,228,229,230,231,232,244,245,254,255,256,258,260,261,271,
272,277,287,309,310,311,312,317,322,324,327,328,330,340,348,351,354,358,368,
383,384,392,398,402,407,421,426,429,444,451,452,455,492,498,511,517,531,534,
535,541,543,551,553,569,588,592,593,595,596,599,602,603,605,607,619,637,656,
657,658,661,670,672,674,680,684,685,687,696,700,716,722,734,765,770,784,788,
798,811,829,831,858,859,860,862,878,879,887,894,897,927,966,987,988,999,1007,
1008,1014,1025,1045,1046,1047,1048,1050,1056,1059,1066,1068,1102,1139,1145,
1158,1161,1167,1169,1193,1200,1204,1228,1239,1244,1248,1250,1255,1282,1301,
1302,1314,1345,1362,1381,1386,1398,1423,1442,1461,1511,1515,1518,1519,1533,
1548,1563,1598,1632,1639,1661,1676,1712,1731,1761,1805,1827,1882,1887,1934,
2000,2004,2077],[1,2,3,7,8,10,11,12,17,18,19,21,22,23,28,29,36,40,44,48,51,52,
54,56,58,59,61,63,65,67,70,72,74,76,77,78,84,88,92,94,98,100,101,104,121,123,
128,129,136,138,140,143,144,146,175,177,180,187,188,199,203,204,205,206,207,
208,209,211,212,216,219,223,227,228,229,230,231,232,245,255,256,261,265,271,
272,277,282,287,303,309,311,312,315,317,327,331,335,337,343,351,354,358,360,
363,367,397,403,413,414,415,421,424,432,442,458,460,472,475,480,483,485,531,
534,535,541,555,558,561,566,588,592,593,595,596,599,603,605,607,609,619,628,
629,633,649,657,658,661,667,672,674,678,683,684,685,687,700,755,761,774,775,
779,782,784,789,795,803,806,809,811,838,847,849,860,862,866,868,880,887,894,
940,960,964,965,1009,1045,1046,1050,1056,1059,1060,1061,1063,1066,1068,1070,
1071,1072,1117,1145,1147,1156,1158,1161,1172,1175,1189,1191,1203,1207,1208,
1232,1239,1241,1248,1250,1263,1269,1270,1273,1286,1297,1298,1310,1314,1315,
1351,1354,1392,1440,1513,1518,1526,1533,1537,1548,1552,1553,1555,1559,1560,
1571,1579,1632,1644,1652,1685,1693,1702,1728,1734,1774,1827,1881,1897,1937,
2000,2003,2078],[1,2,3,6,7,8,10,11,12,13,14,17,18,19,20,21,22,23,25,28,32,36,
38,39,40,48,49,50,51,52,53,54,55,56,57,58,60,63,64,65,66,67,70,71,72,74,77,78,
80,81,82,83,84,85,86,88,89,94,98,99,100,104,106,117,118,121,123,128,130,133,
136,138,139,140,145,150,174,175,176,177,178,179,180,199,202,203,204,205,206,
207,208,209,210,211,212,214,218,220,221,222,223,227,228,229,230,231,232,238,
244,245,246,252,255,256,258,261,263,271,272,277,287,289,292,293,294,298,306,
307,309,310,311,312,317,318,322,324,325,327,328,329,330,334,346,349,351,352,
354,356,357,358,365,386,390,393,406,412,416,421,425,438,443,448,450,462,463,
473,477,478,487,531,533,534,535,538,540,541,545,546,553,588,592,593,595,596,
597,598,599,600,601,603,604,605,607,617,619,621,627,636,642,650,653,657,658,
660,661,666,671,672,673,674,679,684,685,687,696,697,700,713,724,750,767,781,
784,796,797,801,811,817,823,826,828,834,841,852,860,861,862,878,887,894,899,
904,936,974,985,1013,1043,1044,1045,1046,1047,1048,1050,1055,1056,1059,1064,
1066,1067,1068,1073,1086,1145,1153,1155,1157,1158,1159,1161,1162,1164,1165,
1171,1192,1201,1205,1214,1221,1222,1224,1225,1239,1240,1248,1250,1258,1271,
1285,1305,1311,1314,1355,1360,1365,1374,1509,1511,1518,1521,1522,1524,1530,
1533,1539,1548,1550,1551,1558,1569,1578,1632,1636,1640,1641,1651,1654,1655,
1686,1687,1688,1715,1827,1878,1896,1952,1998,1999,2000,2079],[1,2,3,7,9,10,11,
12,17,18,19,21,22,23,28,29,37,48,51,52,56,58,59,61,63,67,70,72,76,78,84,88,92,
94,98,100,101,123,128,129,136,146,181,184,186,199,203,204,207,208,209,211,212,
216,217,219,223,227,230,232,255,265,277,282,296,303,311,312,315,317,331,335,
337,351,354,363,403,414,424,442,460,483,536,544,547,549,560,586,587,588,595,
596,599,603,605,607,609,613,626,628,629,667,669,678,683,711,715,755,761,774,
775,809,813,862,866,880,887,940,1049,1074,1080,1082,1093,1135,1144,1147,1148,
1152,1161,1163,1168,1175,1188,1189,1208,1213,1232,1235,1243,1253,1273,1297,
1310,1508,1510,1514,1644,1645,1664,1698,1830,1856,1870,1910,1928,2080],[1,2,3,
7,8,10,11,12,17,18,19,21,22,23,28,36,40,48,51,52,54,56,58,63,65,67,70,72,74,
77,78,84,88,94,98,100,104,121,123,125,128,136,138,140,146,148,175,177,180,199,
203,204,205,206,207,208,209,211,212,217,223,227,228,229,230,231,232,245,255,
256,261,271,272,277,287,296,305,309,311,312,317,327,331,335,337,351,354,358,
362,421,461,489,531,534,535,541,550,556,588,592,593,595,596,599,603,605,607,
613,619,657,658,661,672,674,683,684,685,687,700,711,715,762,774,775,780,784,
811,813,839,846,851,860,862,876,882,887,894,1045,1046,1050,1056,1059,1066,
1068,1084,1145,1148,1158,1161,1168,1197,1198,1239,1243,1248,1250,1273,1303,
1314,1322,1384,1399,1417,1518,1520,1529,1533,1548,1632,1642,1645,1770,1771,
1827,1872,1894,1943,2000,2081],[1,2,3,7,8,10,11,12,17,18,19,21,22,23,26,28,36,
40,48,51,52,54,56,57,58,60,63,65,67,70,72,74,77,78,84,88,91,94,98,100,104,121,
123,128,136,138,140,175,177,180,199,203,204,205,206,207,208,209,211,212,218,
223,227,228,229,230,231,232,236,243,244,245,248,255,256,258,261,271,272,277,
287,309,311,312,317,324,327,351,354,358,421,531,534,535,541,542,548,588,592,
593,595,596,599,603,605,606,607,611,614,619,657,658,661,672,674,684,685,687,
696,700,773,784,786,811,857,860,862,887,894,1045,1046,1050,1056,1059,1066,
1068,1077,1145,1146,1158,1161,1173,1239,1247,1248,1250,1256,1276,1309,1314,
1517,1518,1523,1533,1548,1632,1643,1656,1827,1857,1927,2000,2082],[1,2,3,6,8,
11,12,13,18,19,20,21,33,36,38,39,40,50,52,54,56,57,58,60,64,65,67,72,74,81,85,
86,99,100,118,130,137,142,146,163,165,166,176,177,178,179,180,197,199,205,206,
207,208,221,222,223,229,252,256,258,269,310,312,324,328,329,330,334,337,340,
352,365,371,373,383,392,393,424,426,431,448,451,457,460,468,511,517,531,534,
535,540,546,551,552,569,586,595,598,604,608,614,619,626,627,636,637,656,657,
660,709,713,714,715,731,736,781,829,831,858,859,866,904,966,984,987,993,994,
1015,1043,1046,1047,1048,1050,1055,1059,1064,1068,1110,1139,1145,1159,1171,
1183,1188,1192,1193,1194,1225,1301,1316,1323,1339,1349,1362,1435,1461,1512,
1519,1521,1522,1563,1569,1598,1635,1654,1691,1696,1716,1761,1777,1827,1866,
1984,1999,2004,2006,2083],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,18,19,20,21,23,
24,25,26,27,30,31,32,36,39,40,44,49,52,54,55,56,59,60,61,64,65,66,67,68,69,72,
74,78,79,80,81,82,83,85,87,89,90,91,92,95,96,97,98,100,101,103,105,106,107,
108,109,112,113,114,115,116,117,119,122,124,126,129,130,131,132,134,136,137,
139,141,143,144,145,146,149,150,174,177,178,185,187,188,189,199,205,206,207,
208,213,214,224,229,233,234,235,237,238,240,242,243,244,246,253,254,256,257,
264,266,268,269,273,274,275,279,281,283,285,288,289,291,297,300,301,302,303,
304,306,307,312,315,316,319,323,325,330,332,335,338,341,342,343,344,346,347,
349,352,353,354,357,360,361,363,364,369,371,372,375,376,378,380,385,387,388,
391,396,397,400,401,409,410,414,417,424,427,430,431,434,436,437,438,439,440,
444,445,450,451,456,462,463,467,469,472,473,474,476,480,482,483,484,485,486,
531,534,535,538,561,565,567,568,572,575,590,591,594,595,600,601,610,619,621,
623,625,628,629,632,633,642,646,649,651,657,662,664,665,671,681,686,689,690,
693,725,726,738,741,744,748,749,753,754,769,771,775,777,779,791,799,803,804,
809,812,821,823,827,832,833,840,845,847,849,852,857,863,864,865,867,874,879,
881,891,893,895,896,899,900,906,908,909,911,912,916,925,932,938,939,945,947,
950,959,968,969,986,992,994,1003,1044,1047,1050,1054,1057,1058,1059,1060,1061,
1062,1063,1065,1067,1068,1069,1070,1071,1072,1073,1132,1145,1162,1164,1190,
1203,1207,1208,1211,1215,1216,1222,1224,1227,1241,1251,1254,1257,1260,1262,
1263,1265,1266,1267,1272,1275,1279,1283,1289,1291,1293,1295,1298,1312,1366,
1367,1369,1371,1383,1394,1404,1420,1422,1424,1437,1439,1444,1459,1530,1535,
1536,1538,1543,1545,1549,1555,1560,1564,1565,1567,1568,1572,1575,1576,1578,
1579,1580,1582,1591,1633,1655,1690,1692,1703,1723,1726,1729,1733,1735,1736,
1747,1753,1774,1785,1827,1884,1886,1890,1969,1998,2003,2005,2084],[1,2,3,6,8,
11,12,14,18,19,20,21,33,36,38,39,40,49,52,54,56,57,58,60,64,65,67,72,74,80,82,
83,89,100,117,137,139,142,146,163,165,166,174,177,178,179,180,197,199,205,206,
207,208,214,220,223,229,238,244,256,274,289,306,307,312,322,324,328,330,337,
340,346,383,392,410,424,426,451,460,462,466,469,470,471,473,511,517,531,534,
535,538,543,545,552,569,586,595,600,601,611,612,619,621,626,637,642,656,657,
671,715,716,718,732,796,829,831,835,852,858,866,898,899,938,943,944,966,980,
987,1044,1046,1047,1048,1050,1059,1067,1068,1073,1108,1139,1145,1162,1164,
1186,1188,1193,1194,1222,1224,1301,1324,1329,1332,1362,1391,1432,1461,1512,
1515,1524,1530,1563,1578,1598,1635,1655,1689,1754,1755,1761,1775,1827,1867,
1961,1998,2004,2006,2085],[1,2,3,4,5,6,7,8,11,12,13,14,15,16,18,19,20,21,23,
24,25,26,27,30,31,32,36,38,40,44,50,52,54,55,56,57,59,61,64,65,66,67,68,69,72,
74,78,80,81,82,85,86,87,90,91,92,93,95,97,98,99,100,101,102,103,105,106,107,
108,109,112,113,114,115,116,117,118,119,122,124,126,129,130,131,132,133,134,
136,137,141,143,144,146,149,150,176,177,179,185,187,188,189,199,205,206,207,
208,215,221,225,229,233,234,235,237,240,242,243,246,252,253,254,256,257,258,
264,266,268,269,273,274,275,279,281,283,285,295,298,300,301,302,303,304,307,
312,314,315,316,318,320,321,323,328,329,332,334,335,336,341,342,343,344,347,
352,353,354,356,360,361,363,364,365,370,373,375,377,378,380,385,390,392,393,
397,399,402,404,405,406,408,414,417,419,423,424,428,430,435,437,441,445,446,
448,449,453,454,463,464,466,468,470,472,474,479,480,481,482,483,484,485,490,
531,534,535,540,561,568,571,573,574,577,590,591,594,595,598,604,610,619,623,
625,627,628,629,632,633,636,646,649,651,657,660,662,664,665,681,686,689,690,
693,713,735,738,740,741,748,749,750,751,753,754,756,760,769,770,775,776,778,
779,786,791,792,793,800,803,809,812,820,821,832,833,840,842,843,847,848,849,
850,853,856,864,869,873,874,875,892,902,904,911,922,924,929,932,934,941,951,
963,967,978,980,984,991,1004,1022,1043,1048,1050,1054,1055,1057,1058,1059,
1060,1061,1062,1063,1064,1065,1068,1069,1070,1071,1072,1138,1145,1159,1171,
1190,1192,1203,1207,1208,1211,1212,1225,1238,1241,1242,1252,1254,1257,1261,
1263,1264,1268,1272,1277,1278,1280,1281,1283,1287,1288,1292,1294,1298,1299,
1342,1343,1363,1367,1373,1376,1377,1395,1402,1411,1413,1415,1419,1437,1522,
1540,1541,1542,1544,1549,1554,1555,1557,1560,1562,1567,1569,1570,1574,1579,
1581,1582,1583,1584,1591,1633,1654,1695,1704,1706,1707,1724,1725,1727,1745,
1769,1774,1776,1782,1783,1827,1889,1892,1899,1963,1999,2003,2005,2086],[1,2,3,
4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,
32,34,37,41,42,43,45,46,47,48,49,50,51,53,55,56,59,61,62,63,64,66,67,68,69,70,
71,72,73,74,75,76,77,78,79,80,81,82,83,85,86,87,89,90,91,92,93,94,95,96,97,98,
99,100,101,102,103,104,105,106,107,109,110,113,114,115,116,117,118,119,121,
122,123,124,126,127,128,129,130,131,132,133,134,136,138,139,140,141,143,144,
145,149,150,151,152,153,155,156,157,158,159,160,161,162,164,168,169,170,181,
182,183,184,186,190,191,192,193,194,195,196,198,200,201,202,203,206,207,210,
211,213,215,216,219,224,225,226,227,228,229,230,232,233,234,235,237,238,239,
240,241,242,245,246,248,249,250,251,252,253,256,257,261,262,263,264,265,266,
267,268,270,271,272,273,275,276,277,278,279,280,281,282,283,284,285,286,288,
289,290,291,292,293,294,295,297,298,300,301,302,303,304,306,307,308,311,312,
313,314,315,316,317,318,319,320,321,323,325,326,327,329,332,333,334,336,338,
339,341,342,343,345,346,349,350,351,352,353,354,355,356,357,358,359,360,361,
363,364,365,367,369,370,372,376,377,378,379,381,382,386,387,388,389,390,391,
393,395,396,397,399,400,401,404,405,406,408,409,412,413,415,416,419,420,423,
425,427,428,430,432,433,434,435,436,437,438,439,440,441,442,443,445,446,448,
449,450,453,454,456,458,462,463,464,465,467,472,473,474,475,476,477,478,479,
480,481,482,483,484,485,486,487,488,490,494,495,496,499,501,504,505,507,508,
512,515,518,537,539,544,547,549,559,560,562,563,564,576,578,579,580,581,582,
583,584,585,589,591,593,594,596,597,598,601,609,615,616,620,623,625,628,630,
631,632,633,635,638,644,645,646,649,651,653,657,659,660,661,663,664,668,671,
672,674,676,677,678,681,682,687,688,689,690,692,694,695,698,699,700,701,703,
706,707,708,710,712,713,717,719,720,723,724,725,726,730,733,735,737,738,741,
742,743,744,746,747,749,750,751,754,755,758,760,763,764,767,771,772,776,777,
778,779,782,783,787,789,792,793,795,797,799,801,802,803,804,805,806,807,808,
811,816,817,818,820,823,826,827,828,832,834,836,837,838,841,842,843,844,845,
847,848,849,850,852,856,860,861,863,864,865,867,868,869,871,873,874,875,884,
885,887,888,890,891,892,893,896,899,900,901,902,903,904,905,906,907,909,910,
913,916,918,919,921,922,923,925,926,932,933,934,935,936,937,939,941,942,947,
949,950,951,955,956,957,958,959,960,963,964,965,967,968,970,971,973,974,975,
977,978,981,982,983,985,986,989,990,991,992,1001,1002,1003,1004,1005,1006,
1009,1010,1013,1016,1018,1022,1023,1024,1026,1075,1076,1078,1079,1080,1081,
1082,1085,1087,1088,1089,1090,1091,1093,1095,1097,1098,1103,1104,1106,1107,
1128,1130,1131,1133,1135,1137,1140,1142,1147,1151,1165,1176,1179,1180,1190,
1191,1192,1199,1201,1202,1205,1206,1207,1209,1212,1215,1217,1222,1226,1227,
1234,1236,1239,1240,1241,1245,1249,1252,1257,1260,1261,1262,1264,1266,1269,
1270,1275,1278,1287,1288,1289,1304,1318,1319,1320,1321,1325,1326,1327,1330,
1336,1338,1343,1348,1351,1352,1354,1355,1356,1359,1360,1364,1365,1371,1374,
1376,1377,1383,1385,1387,1389,1390,1392,1394,1395,1401,1402,1405,1406,1408,
1412,1413,1415,1416,1418,1419,1420,1421,1422,1424,1426,1427,1438,1439,1440,
1441,1443,1444,1449,1454,1457,1462,1471,1472,1477,1480,1481,1482,1483,1485,
1488,1492,1510,1585,1586,1587,1589,1590,1593,1594,1595,1596,1599,1600,1601,
1605,1606,1609,1611,1613,1614,1615,1616,1619,1623,1628,1675,1684,1692,1704,
1713,1715,1719,1720,1723,1724,1734,1742,1778,1779,1790,1793,1794,1796,1799,
1801,1803,1807,1837,1846,1851,1852,1856,1858,1859,1911,1912,1913,1962,2010,
2011,2012,2021,2023,2026,2039,2087],[1,2,3,6,7,8,10,11,12,13,14,17,18,19,20,
21,22,23,25,28,32,33,36,38,39,40,44,48,49,50,51,52,53,55,56,57,58,60,63,64,66,
67,70,71,72,78,80,81,82,83,84,85,86,88,89,94,98,99,100,106,117,123,128,130,
133,135,136,137,142,145,146,147,150,154,165,166,167,174,175,176,177,178,179,
180,185,187,188,189,197,199,202,203,204,207,208,209,210,211,212,214,218,220,
221,222,223,227,230,232,238,244,246,252,254,255,258,260,263,269,274,277,292,
293,294,298,306,307,310,311,312,317,318,322,324,325,328,330,331,334,335,337,
340,346,348,349,351,352,354,356,357,365,368,371,373,383,384,390,392,398,402,
403,406,407,410,414,424,429,431,438,443,444,450,451,457,460,463,466,468,469,
470,471,478,531,532,533,538,540,541,542,543,545,546,548,550,551,552,553,554,
555,556,557,558,561,565,566,567,568,569,570,571,572,573,574,575,577,586,587,
588,590,595,596,597,598,599,600,601,602,603,604,605,607,608,611,612,614,617,
621,626,627,636,637,642,650,653,654,656,666,669,670,673,679,680,683,696,697,
702,709,714,715,716,718,731,732,734,736,750,761,767,770,781,788,796,798,800,
801,809,813,817,823,824,826,829,831,835,853,854,859,862,866,878,879,880,887,
895,897,898,912,914,915,924,927,929,938,940,943,944,945,948,969,980,984,993,
994,995,1011,1015,1043,1044,1045,1046,1047,1048,1050,1051,1052,1053,1054,1060,
1063,1069,1077,1083,1084,1086,1092,1094,1096,1099,1100,1101,1102,1105,1108,
1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,
1124,1125,1126,1127,1129,1132,1134,1138,1144,1146,1149,1153,1155,1157,1159,
1161,1162,1163,1165,1167,1169,1182,1183,1185,1186,1188,1189,1193,1200,1204,
1213,1219,1221,1228,1235,1243,1253,1255,1258,1282,1305,1306,1307,1308,1311,
1316,1323,1324,1329,1331,1332,1334,1339,1349,1368,1372,1391,1393,1404,1409,
1411,1431,1432,1434,1435,1436,1446,1466,1474,1491,1493,1507,1509,1511,1512,
1513,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1529,1530,
1531,1559,1560,1563,1568,1572,1574,1575,1577,1580,1581,1582,1583,1584,1588,
1592,1597,1602,1603,1604,1607,1608,1610,1612,1617,1618,1620,1621,1631,1651,
1661,1664,1696,1697,1717,1718,1759,1764,1765,1767,1775,1797,1810,1828,1832,
1833,1834,1838,1839,1841,1842,1843,1844,1845,1848,1849,1850,1855,1857,1860,
1861,1863,1864,1865,1866,1867,1868,1869,1871,1872,1873,1874,1875,1878,1879,
1881,1882,1883,1886,1893,1899,1905,1914,1944,2002,2009,2024,2027,2028,2029,
2030,2031,2032,2034,2035,2036,2037,2038,2040,2088],[1,2,3,4,5,7,9,10,11,12,15,
16,17,18,19,21,22,23,24,26,27,28,34,37,41,42,43,45,46,47,48,51,52,56,58,62,63,
67,68,69,70,72,73,75,78,84,88,90,91,94,98,100,105,107,109,110,111,114,115,116,
120,123,124,127,128,136,141,146,152,153,157,158,159,160,164,181,182,183,184,
190,191,192,193,194,195,196,198,199,200,201,203,204,207,208,209,211,212,223,
227,230,232,235,236,239,240,243,247,248,250,251,253,255,257,259,264,276,277,
280,281,285,286,300,302,311,312,313,317,323,326,331,333,335,337,339,342,347,
350,351,354,364,366,382,403,411,414,422,424,459,460,488,494,495,496,512,536,
537,539,544,559,562,563,564,576,578,579,580,582,584,585,586,587,588,589,595,
596,599,603,605,606,607,620,624,625,626,641,643,645,648,652,655,662,664,669,
675,677,682,683,691,695,710,715,730,738,739,749,753,757,758,761,773,802,808,
809,810,812,813,814,818,825,840,855,862,866,880,884,887,888,889,890,903,905,
940,1074,1076,1078,1081,1087,1089,1093,1097,1128,1131,1136,1137,1140,1141,
1142,1144,1154,1161,1163,1170,1173,1174,1178,1187,1188,1189,1195,1199,1213,
1218,1231,1235,1243,1253,1254,1256,1276,1350,1379,1382,1448,1451,1472,1508,
1594,1595,1599,1601,1606,1614,1615,1622,1630,1656,1659,1664,1737,1738,1763,
1786,1829,1830,1831,1836,1862,1876,1877,1913,1938,2001,2013,2014,2017,2019,
2020,2022,2089],[1,2,3,4,5,6,7,9,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26,
27,28,30,31,33,34,37,41,42,43,45,46,47,48,51,54,56,62,63,64,65,66,67,68,69,70,
71,72,73,75,77,84,88,90,91,94,98,104,105,107,108,109,110,111,112,113,114,115,
116,119,120,122,123,124,125,126,127,128,131,132,134,135,137,138,140,141,142,
147,148,149,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,
167,168,181,182,183,184,190,191,192,193,194,195,196,198,200,201,203,205,208,
209,210,217,226,229,230,231,232,235,237,239,240,242,245,247,248,250,251,254,
255,256,259,260,261,262,264,276,277,278,281,284,285,286,287,296,299,300,302,
305,308,309,311,312,313,316,317,323,326,327,333,339,340,341,342,344,347,348,
350,353,355,358,361,362,364,366,368,374,375,380,382,383,384,385,394,395,398,
407,411,417,418,421,422,426,429,430,447,452,455,459,461,488,489,491,492,493,
494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,
513,514,515,516,517,518,519,520,521,522,537,539,544,559,562,563,564,576,578,
579,580,582,584,585,589,592,599,602,613,618,619,620,622,623,632,637,639,641,
643,647,648,652,658,659,663,674,675,680,684,685,686,695,699,700,704,705,721,
722,727,728,729,730,733,734,738,739,745,746,747,748,749,753,758,759,762,765,
768,769,780,784,785,787,791,794,798,802,805,815,816,818,819,821,822,833,836,
837,839,844,846,851,858,864,870,871,874,876,877,882,884,886,887,888,890,894,
903,905,917,920,928,930,931,946,952,953,954,961,962,966,972,976,979,987,988,
996,997,998,999,1007,1008,1012,1014,1017,1019,1020,1021,1025,1027,1028,1029,
1030,1049,1076,1078,1081,1087,1089,1093,1097,1128,1131,1137,1140,1142,1148,
1160,1167,1181,1184,1195,1196,1197,1217,1223,1230,1233,1244,1248,1284,1337,
1345,1347,1362,1367,1370,1375,1378,1380,1381,1396,1398,1399,1400,1403,1417,
1423,1430,1442,1447,1453,1455,1456,1457,1458,1468,1472,1475,1476,1478,1479,
1484,1486,1487,1489,1490,1514,1527,1528,1534,1556,1561,1573,1594,1595,1599,
1601,1606,1614,1615,1629,1670,1676,1721,1750,1760,1770,1789,1791,1802,1811,
1835,1840,1847,1853,1854,1870,1880,1885,1891,1906,1907,1913,1981,2007,2008,
2015,2016,2018,2025,2033,2090],[1,2,3,4,5,6,7,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,48,49,50,51,52,53,54,55,56,57,58,
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,
165,166,167,168,169,170,199,200,201,202,203,204,205,206,207,208,209,210,211,
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,
516,517,518,519,520,521,522,586,587,588,589,590,591,592,593,594,595,596,597,
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,
1028,1029,1030,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,
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,
1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,
1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,
1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,
1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,
1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,
1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,
1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,
1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,
1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,
1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,
1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,
1486,1487,1488,1489,1490,1491,1492,1493,1628,1629,1630,1631,1632,1633,1634,
1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,
1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,
1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,
1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,
1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,
1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,
1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,
1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,
1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,
1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,
1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,
1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1925,1926,1927,
1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,
1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,
1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,
1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,1984,1985,2047,2048,
2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2091],[1,2,3,
6,8,9,11,12,13,17,20,21,22,33,36,37,39,50,51,52,56,57,58,60,63,64,72,81,85,86,
99,100,130,137,142,146,154,167,171,176,178,180,181,185,188,193,207,209,212,
221,222,223,244,252,269,310,317,322,324,330,334,337,340,352,365,371,373,392,
424,429,431,451,457,460,468,525,531,532,536,542,543,544,546,550,557,558,567,
577,587,598,600,607,608,611,650,669,670,673,680,709,714,716,732,781,788,813,
831,835,866,984,993,994,1015,1033,1036,1043,1046,1047,1051,1054,1063,1081,
1094,1105,1121,1122,1123,1127,1136,1157,1182,1200,1213,1329,1334,1349,1434,
1436,1494,1495,1507,1508,1515,1517,1520,1521,1525,1526,1580,1584,1618,1765,
1812,1815,1817,1828,1841,1844,1871,1873,1874,1877,1883,1986,1992,2027,2062,
2068,2092],[1,2,3,4,8,9,11,12,15,17,21,22,24,26,36,37,41,47,51,52,56,58,63,69,
72,75,91,100,105,120,127,146,160,171,180,181,182,188,191,193,201,207,209,212,
223,236,251,253,259,264,281,317,333,337,339,364,424,460,525,526,531,532,536,
544,550,558,562,564,578,587,607,652,664,669,691,773,802,813,855,866,1033,1037,
1046,1063,1081,1087,1097,1123,1136,1174,1187,1213,1276,1448,1494,1500,1507,
1508,1520,1526,1615,1763,1812,1829,1862,1871,1877,1986,2020,2062,2065,2093],[
1,2,3,7,8,9,10,11,12,17,18,19,21,22,23,28,36,37,40,43,44,45,48,51,52,56,58,63,
67,70,72,78,84,88,94,98,100,123,128,136,146,171,175,177,180,181,184,187,188,
190,193,199,203,204,207,208,209,211,212,223,227,230,232,255,277,311,312,317,
331,335,337,351,354,403,414,424,460,523,524,525,531,532,536,537,539,541,544,
550,552,555,556,558,561,566,580,586,587,588,595,596,599,603,605,607,626,669,
683,715,761,809,813,862,866,880,887,940,1031,1032,1033,1045,1046,1050,1052,
1060,1063,1074,1078,1081,1084,1093,1096,1111,1117,1123,1124,1136,1141,1144,
1161,1163,1188,1189,1213,1235,1243,1253,1494,1498,1507,1508,1512,1513,1518,
1520,1526,1529,1559,1560,1597,1606,1622,1664,1812,1816,1818,1830,1832,1838,
1868,1869,1871,1872,1876,1877,1881,1986,1990,2022,2034,2062,2063,2064,2094],[
1,2,3,8,9,11,12,17,21,22,36,37,51,52,56,58,63,72,100,125,143,146,148,171,180,
181,188,193,207,209,212,223,317,337,360,424,460,461,525,531,532,536,544,550,
558,587,607,633,669,813,866,882,1033,1046,1063,1081,1123,1136,1156,1213,1303,
1494,1497,1507,1508,1520,1526,1741,1812,1871,1877,1986,2062,2095],[1,2,3,5,8,
9,11,12,16,17,21,22,26,27,36,37,42,46,51,52,56,58,63,68,72,73,91,100,110,111,
141,146,157,171,180,181,183,188,192,193,200,207,209,212,223,235,236,239,247,
257,302,313,317,323,326,337,424,460,525,527,531,532,536,544,550,558,563,576,
579,587,607,625,641,655,669,773,813,866,889,890,1033,1034,1046,1063,1076,1081,
1089,1123,1136,1154,1178,1213,1276,1350,1494,1496,1507,1508,1520,1526,1595,
1738,1812,1831,1836,1871,1877,1986,2014,2062,2066,2096],[1,2,3,6,8,9,11,12,14,
17,20,21,22,33,36,37,38,49,51,52,56,57,58,60,63,64,72,80,82,83,89,100,117,137,
142,146,154,167,171,174,179,180,181,188,189,193,207,209,212,214,220,223,238,
258,274,306,307,310,317,322,324,328,337,340,346,392,410,424,429,451,460,466,
469,470,471,525,531,532,536,544,545,548,550,551,554,558,571,575,587,601,604,
607,612,614,666,669,670,680,697,718,731,736,788,796,813,831,859,866,898,938,
943,944,980,1033,1035,1044,1046,1048,1053,1063,1069,1081,1113,1114,1115,1116,
1120,1123,1136,1153,1185,1200,1213,1316,1331,1332,1393,1466,1494,1501,1507,
1508,1516,1519,1520,1523,1524,1526,1575,1583,1610,1764,1812,1813,1814,1833,
1834,1842,1849,1850,1871,1877,1879,1986,1987,2036,2062,2067,2097],[1,2,3,8,9,
11,12,17,21,22,36,37,51,52,56,58,63,72,100,125,144,146,148,171,180,181,188,
193,207,209,212,223,317,337,343,424,460,461,525,531,532,536,544,550,558,587,
607,649,669,813,866,882,1033,1046,1063,1081,1123,1136,1172,1213,1303,1494,
1499,1507,1508,1520,1526,1766,1812,1871,1877,1986,2062,2098],[1,2,3,4,5,8,9,
10,11,12,15,16,17,24,26,27,36,37,40,41,42,46,47,48,51,52,56,58,62,68,69,73,75,
90,91,157,160,171,175,177,180,181,182,183,184,191,192,199,200,201,203,204,212,
223,236,240,243,248,250,281,302,313,333,525,526,527,531,532,536,541,544,552,
559,562,563,564,576,585,586,587,588,589,606,624,655,662,691,758,773,1031,1034,
1037,1045,1046,1050,1052,1074,1076,1087,1089,1093,1097,1144,1170,1173,1178,
1187,1494,1502,1507,1508,1512,1518,1599,1601,1630,1818,1829,1830,1831,1832,
1836,1862,1986,2001,2013,2063,2065,2066,2099],[1,2,3,4,5,7,8,9,11,12,15,16,17,
18,19,23,24,26,27,28,34,36,37,41,42,43,44,45,46,47,51,52,56,58,67,68,69,70,73,
75,78,91,107,109,114,115,116,123,124,128,146,152,153,157,158,159,160,164,171,
180,181,182,183,187,190,191,192,194,195,196,198,200,201,208,211,212,223,236,
276,280,281,285,286,300,302,311,313,333,337,342,347,350,403,414,494,495,496,
512,523,524,525,526,527,531,532,536,537,539,544,555,556,562,563,564,576,582,
584,587,603,655,669,691,715,753,757,761,773,808,810,888,903,1032,1034,1037,
1038,1039,1046,1060,1076,1078,1087,1089,1097,1124,1128,1131,1137,1140,1141,
1178,1187,1218,1253,1256,1350,1448,1494,1503,1507,1508,1513,1529,1594,1614,
1786,1816,1829,1831,1836,1838,1862,1876,1986,2017,2019,2064,2065,2066,2100],[
1,2,3,6,7,8,9,11,12,13,14,17,18,19,20,23,28,32,33,36,37,38,39,43,44,45,49,50,
51,52,56,57,58,60,64,67,70,78,81,82,83,99,106,123,128,133,137,142,145,146,150,
165,166,171,174,176,178,179,180,181,185,187,189,190,208,211,212,214,220,221,
222,223,238,244,252,258,269,274,298,310,311,322,324,325,328,330,337,340,356,
357,371,373,383,402,403,410,414,431,443,444,457,466,468,469,470,471,523,524,
525,531,532,536,537,539,542,543,544,545,546,548,551,554,555,556,557,565,572,
573,574,587,603,608,611,612,614,627,637,642,653,656,669,673,679,697,709,714,
715,716,718,731,732,736,761,781,788,796,835,859,897,898,914,915,924,929,945,
969,995,1011,1032,1035,1036,1043,1044,1046,1047,1048,1051,1053,1054,1060,1069,
1078,1083,1092,1105,1109,1112,1116,1118,1119,1124,1125,1126,1141,1182,1185,
1253,1282,1305,1323,1331,1334,1339,1368,1391,1409,1431,1432,1446,1494,1505,
1507,1508,1513,1515,1516,1517,1519,1521,1523,1524,1525,1529,1568,1572,1574,
1581,1607,1617,1810,1813,1814,1815,1816,1817,1828,1833,1834,1838,1839,1843,
1845,1848,1863,1864,1865,1873,1875,1876,1986,1991,1993,2030,2035,2064,2067,
2068,2101],[1,2,3,6,8,9,10,11,12,13,14,17,20,25,33,36,37,38,39,40,48,49,50,51,
52,53,55,56,57,58,60,64,66,71,81,82,83,99,135,137,142,147,171,174,175,176,177,
178,179,180,181,184,185,189,197,199,202,203,204,210,212,214,218,220,221,222,
223,238,244,246,252,254,258,260,263,269,274,293,310,322,324,328,330,340,348,
457,471,525,531,532,533,536,538,540,541,542,543,544,545,546,548,551,552,553,
554,557,568,569,570,586,587,588,590,597,602,608,611,612,614,617,621,636,654,
673,696,697,702,716,781,788,796,829,859,878,1031,1035,1036,1043,1044,1045,
1046,1047,1048,1050,1051,1052,1053,1054,1069,1074,1077,1086,1093,1099,1100,
1101,1102,1105,1108,1110,1116,1144,1146,1149,1182,1183,1185,1186,1255,1258,
1494,1504,1507,1508,1509,1511,1512,1515,1516,1517,1518,1519,1521,1522,1523,
1524,1525,1530,1531,1563,1577,1582,1621,1631,1813,1814,1815,1817,1818,1828,
1830,1832,1833,1834,1855,1857,1860,1861,1866,1867,1873,1878,1882,1986,1988,
1989,2002,2031,2063,2067,2068,2102],[1,2,3,7,10,11,12,17,18,19,21,22,23,28,35,
48,51,52,56,58,63,67,70,72,78,84,88,94,98,100,118,123,128,136,139,146,163,172,
173,199,203,204,207,208,209,211,212,223,227,230,232,255,277,289,311,312,317,
329,331,335,337,351,354,386,403,414,424,426,452,455,460,477,528,529,530,586,
587,588,595,596,599,603,605,607,626,660,669,671,683,715,722,724,761,765,809,
813,828,858,862,866,880,887,940,1040,1041,1042,1144,1161,1163,1164,1171,1188,
1189,1205,1213,1214,1235,1243,1244,1253,1301,1302,1506,1639,1640,1664,1716,
1755,1826,1959,1995,1996,1997,2070,2071,2072,2103],[1,2,7,8,9,10,21,23,35,36,
37,43,44,45,59,74,92,94,121,143,144,171,172,173,175,184,187,188,190,193,216,
272,367,415,432,472,485,523,524,525,528,529,530,534,547,566,580,964,1031,1032,
1033,1040,1056,1061,1072,1079,1080,1085,1497,1498,1499,1552,1589,1624,1625,
1819,1920,1923,2074,2104],[1,2,4,8,9,14,15,21,35,36,37,41,47,61,74,89,97,105,
139,143,171,172,174,182,188,189,191,193,224,266,391,396,401,462,480,525,526,
528,534,549,575,578,992,1033,1035,1037,1041,1062,1070,1073,1075,1095,1103,
1497,1500,1501,1543,1600,1624,1626,1825,1915,1922,2073,2105],[1,2,4,8,9,13,15,
21,35,36,37,41,47,59,74,86,95,105,118,144,171,172,176,182,185,188,191,193,215,
273,370,393,405,419,485,525,526,528,534,547,577,578,967,1033,1036,1037,1042,
1055,1057,1072,1085,1091,1104,1495,1499,1500,1554,1593,1624,1625,1820,1919,
1921,2074,2106],[1,2,7,8,9,10,21,23,35,36,37,43,44,45,61,74,94,101,121,143,
144,171,172,173,175,184,187,188,190,193,219,272,367,397,413,458,480,523,524,
525,528,529,530,534,549,566,580,965,1031,1032,1033,1040,1056,1070,1071,1075,
1082,1088,1497,1498,1499,1553,1611,1624,1626,1819,1916,1920,2073,2107],[1,2,5,
8,9,14,16,21,35,36,37,42,46,59,74,87,89,139,141,144,171,172,174,183,188,189,
192,193,213,275,372,400,409,462,485,525,527,528,534,547,575,579,986,1033,1034,
1035,1041,1065,1072,1073,1085,1098,1106,1496,1499,1501,1538,1619,1624,1625,
1823,1918,1922,2074,2108],[1,2,5,8,9,13,16,21,35,36,37,42,46,61,74,86,103,118,
141,143,171,172,176,183,185,188,192,193,225,268,393,399,408,480,481,525,527,
528,534,549,577,579,1004,1033,1034,1036,1042,1055,1058,1070,1075,1090,1107,
1495,1496,1497,1541,1613,1624,1626,1824,1917,1921,2073,2109],[1,2,3,6,7,8,10,
11,12,13,14,17,18,19,20,21,22,23,25,26,28,32,36,38,39,40,48,49,50,51,52,53,54,
55,56,57,58,60,63,64,65,66,67,70,71,72,74,77,78,80,81,82,83,84,85,86,88,89,91,
94,98,99,100,104,106,108,112,117,118,121,123,125,128,130,133,136,138,139,140,
145,146,148,150,174,175,176,177,178,179,180,199,202,203,204,205,206,207,208,
209,210,211,212,214,217,218,220,221,222,223,227,228,229,230,231,232,236,238,
243,244,245,246,248,252,255,256,258,261,263,271,272,277,283,287,289,292,293,
294,296,298,299,305,306,307,309,310,311,312,317,318,322,324,325,327,328,329,
330,331,334,335,337,344,346,349,351,352,354,356,357,358,359,362,365,386,390,
393,406,412,416,421,425,431,438,443,448,450,461,462,463,466,468,469,473,477,
478,487,489,531,533,534,535,538,540,541,542,545,546,548,550,553,556,588,592,
593,595,596,597,598,599,600,601,603,604,605,606,607,611,613,614,617,619,621,
622,627,634,636,642,650,653,656,657,658,660,661,666,670,671,672,673,674,679,
683,684,685,687,693,694,696,697,700,709,711,713,715,724,731,732,740,750,762,
767,773,774,775,780,781,784,786,796,797,801,811,813,817,823,826,828,834,839,
841,846,851,852,853,857,860,861,862,872,876,878,882,887,894,895,898,899,904,
908,936,948,974,985,1013,1043,1044,1045,1046,1047,1048,1050,1055,1056,1059,
1064,1066,1067,1068,1073,1077,1084,1086,1092,1112,1120,1122,1145,1146,1148,
1153,1155,1157,1158,1159,1161,1162,1164,1165,1168,1169,1171,1173,1177,1192,
1197,1198,1201,1205,1214,1219,1221,1222,1224,1225,1239,1240,1243,1247,1248,
1250,1256,1258,1259,1271,1273,1276,1285,1300,1303,1305,1307,1309,1311,1314,
1322,1339,1355,1360,1365,1373,1374,1384,1391,1399,1414,1417,1434,1459,1460,
1466,1509,1511,1517,1518,1520,1521,1522,1523,1524,1529,1530,1533,1539,1548,
1550,1551,1558,1569,1578,1592,1632,1636,1640,1641,1642,1643,1645,1648,1651,
1654,1655,1656,1678,1686,1687,1688,1699,1715,1732,1767,1768,1770,1771,1781,
1784,1827,1839,1844,1848,1850,1857,1872,1878,1894,1896,1927,1929,1943,1950,
1951,1952,1953,1998,1999,2000,2037,2061,2079,2081,2082,2110],[1,2,3,4,5,6,7,8,
10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,36,38,39,
40,48,49,50,51,52,53,54,55,56,57,58,60,62,63,64,65,66,67,68,69,70,71,72,73,74,
75,77,78,79,81,82,83,84,87,88,90,91,93,94,95,96,97,98,99,100,102,103,104,105,
107,108,109,110,111,112,113,114,115,116,119,120,121,122,123,124,125,126,127,
128,131,132,134,135,136,137,138,140,141,142,146,147,148,149,151,152,153,154,
155,156,157,158,159,160,161,162,163,164,165,166,167,168,175,177,178,179,180,
185,189,197,199,200,201,202,203,204,205,206,207,208,209,210,211,212,217,218,
223,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,
244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,
263,264,266,268,269,271,272,273,274,275,276,277,278,280,281,283,284,285,286,
287,290,293,296,297,299,300,302,305,308,309,310,311,312,313,316,317,322,323,
324,326,327,328,330,331,333,335,336,337,339,340,341,342,344,345,347,348,350,
351,353,354,355,358,359,361,362,364,366,368,371,373,374,375,378,379,380,381,
382,383,384,385,389,392,394,395,398,402,407,410,411,417,418,420,421,422,426,
429,430,440,441,444,447,451,452,454,455,457,459,461,467,470,471,476,479,482,
488,489,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,
508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,531,534,535,541,
543,550,551,553,554,556,557,568,569,570,588,589,590,591,592,593,594,595,596,
597,599,602,603,605,606,607,608,610,612,613,618,619,620,622,623,624,625,627,
630,631,632,634,635,637,638,639,640,641,642,643,644,645,646,647,648,650,651,
652,654,655,656,657,658,659,661,662,663,664,665,666,668,670,672,674,675,676,
677,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,698,
699,700,701,702,704,705,706,707,708,710,711,714,715,716,718,719,720,721,722,
723,727,728,729,730,733,734,736,737,738,739,741,745,746,747,748,749,752,753,
754,756,757,758,759,762,763,764,765,766,768,769,770,772,774,775,780,783,784,
785,787,788,790,791,794,798,800,802,805,807,808,810,811,812,813,814,815,816,
818,819,821,822,824,825,827,829,830,831,832,833,835,836,837,839,840,844,846,
851,854,855,858,859,860,862,864,870,871,872,873,874,876,877,878,879,881,882,
883,884,885,886,887,888,889,890,894,897,901,903,905,907,910,911,912,917,920,
927,928,930,931,946,952,953,954,961,962,966,972,976,977,979,987,988,996,997,
998,999,1000,1007,1008,1012,1014,1017,1019,1020,1021,1025,1027,1028,1029,1030,
1045,1046,1047,1048,1050,1054,1056,1057,1058,1059,1062,1065,1066,1068,1069,
1083,1084,1094,1101,1102,1113,1119,1139,1145,1148,1149,1150,1151,1154,1158,
1160,1161,1166,1167,1168,1169,1170,1174,1176,1177,1181,1184,1190,1193,1195,
1196,1197,1198,1199,1200,1202,1204,1206,1209,1210,1211,1217,1218,1220,1221,
1223,1226,1228,1229,1230,1231,1233,1234,1236,1239,1243,1244,1245,1246,1247,
1248,1249,1250,1254,1255,1257,1272,1273,1274,1282,1283,1284,1290,1296,1301,
1302,1303,1304,1306,1308,1313,1314,1322,1323,1326,1328,1333,1335,1337,1340,
1341,1344,1345,1346,1347,1357,1358,1361,1362,1363,1366,1367,1370,1375,1378,
1379,1380,1381,1382,1384,1386,1393,1396,1397,1398,1399,1400,1403,1407,1410,
1417,1423,1428,1429,1430,1432,1433,1436,1437,1438,1441,1442,1445,1447,1451,
1452,1453,1454,1455,1456,1457,1458,1461,1463,1464,1465,1467,1468,1469,1470,
1471,1472,1473,1475,1476,1478,1479,1484,1486,1487,1489,1490,1511,1515,1516,
1518,1519,1520,1525,1529,1532,1533,1546,1547,1548,1549,1563,1566,1567,1577,
1582,1591,1598,1604,1629,1632,1633,1639,1642,1645,1647,1648,1650,1653,1659,
1661,1670,1671,1673,1674,1675,1676,1679,1700,1705,1712,1714,1718,1721,1722,
1730,1731,1739,1743,1750,1758,1760,1761,1770,1771,1772,1787,1788,1789,1791,
1798,1800,1802,1804,1805,1808,1811,1827,1843,1849,1855,1864,1872,1882,1883,
1887,1894,1895,1909,1926,1930,1932,1934,1939,1943,1949,1966,1973,1981,1983,
2000,2004,2005,2024,2041,2056,2076,2077,2081,2111],[1,2,3,4,5,6,7,8,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,30,31,33,34,36,40,48,49,50,51,
52,53,54,55,56,57,58,60,62,63,64,65,66,67,68,69,70,71,72,73,74,75,77,78,79,81,
82,83,84,87,88,90,91,93,94,95,96,97,98,99,100,102,103,104,105,107,108,109,110,
111,112,113,114,115,116,119,120,121,122,123,124,126,127,128,131,132,134,135,
136,137,138,140,141,142,146,147,149,151,152,153,155,156,157,158,159,160,161,
162,164,168,175,177,180,185,189,199,200,201,202,203,204,205,206,207,208,209,
210,211,212,214,218,220,221,222,223,226,227,228,229,230,231,232,233,234,235,
236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,
255,256,257,258,259,260,261,262,263,264,266,268,269,271,272,273,274,275,276,
277,278,280,281,283,284,285,286,287,290,293,297,299,300,302,308,309,310,311,
312,313,316,317,322,323,324,326,327,328,330,331,333,335,336,337,339,340,341,
342,344,345,347,348,350,351,353,354,355,358,359,361,364,366,374,375,378,379,
380,381,382,385,389,394,395,403,411,414,417,418,420,421,422,424,430,440,441,
447,454,457,459,460,467,471,476,479,482,488,491,494,495,496,499,500,501,502,
504,505,507,508,509,512,514,515,516,518,519,521,531,532,534,535,541,542,548,
552,554,557,568,570,586,587,588,589,590,591,592,593,594,595,596,597,599,602,
603,605,606,607,608,610,611,612,614,617,618,619,620,621,622,623,624,625,626,
630,631,632,634,635,636,638,639,640,641,643,644,645,646,647,648,651,652,654,
655,657,658,659,661,662,663,664,665,668,669,672,673,674,675,676,677,681,682,
683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,
702,706,707,708,710,715,716,719,720,721,723,727,728,729,730,733,737,738,739,
740,741,745,746,747,748,749,752,753,754,756,757,758,759,761,763,764,766,768,
769,772,773,781,783,784,785,786,787,788,790,791,794,796,802,805,807,808,809,
810,811,812,813,814,815,816,818,819,821,822,825,827,829,830,832,833,836,837,
840,844,855,857,859,860,862,864,866,870,871,872,873,874,877,878,880,881,883,
884,885,886,887,888,889,890,894,901,903,905,907,908,910,911,940,977,996,997,
1000,1017,1020,1027,1029,1045,1046,1050,1052,1054,1056,1057,1058,1059,1062,
1065,1066,1068,1069,1077,1099,1100,1101,1105,1116,1144,1145,1146,1149,1150,
1151,1154,1158,1160,1161,1163,1166,1170,1173,1174,1176,1177,1178,1182,1183,
1185,1186,1187,1188,1189,1190,1194,1195,1196,1199,1202,1206,1209,1210,1211,
1213,1217,1218,1220,1223,1226,1229,1230,1231,1233,1234,1235,1236,1237,1239,
1243,1245,1246,1247,1248,1249,1250,1253,1254,1255,1256,1257,1258,1259,1272,
1274,1276,1283,1284,1290,1296,1300,1304,1309,1313,1314,1326,1328,1335,1337,
1341,1342,1344,1346,1350,1353,1357,1358,1367,1369,1379,1382,1388,1403,1407,
1410,1433,1437,1438,1441,1448,1451,1452,1453,1454,1456,1457,1458,1463,1464,
1468,1469,1470,1471,1472,1475,1507,1512,1516,1517,1518,1523,1525,1532,1533,
1546,1547,1548,1549,1566,1567,1577,1582,1591,1621,1630,1631,1632,1633,1635,
1637,1638,1643,1650,1656,1659,1662,1664,1668,1669,1670,1671,1673,1674,1675,
1677,1679,1705,1737,1738,1739,1763,1768,1786,1800,1827,1832,1834,1855,1857,
1860,1861,1873,1895,1909,1925,1926,1927,1935,1936,1938,1946,2000,2005,2006,
2031,2048,2075,2076,2082,2112],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,
20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,36,38,39,40,44,48,49,50,51,52,53,
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,
123,124,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,
143,144,145,146,147,149,150,151,152,153,155,156,157,158,159,160,161,162,164,
168,169,170,174,175,176,177,178,179,180,185,187,188,189,199,200,201,202,203,
204,205,206,207,208,209,210,211,212,213,214,215,216,218,219,220,221,222,223,
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,
281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,297,298,299,300,
301,302,303,304,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,
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,
359,360,361,363,364,365,366,367,369,370,371,372,373,374,375,376,377,378,379,
380,381,382,385,386,387,388,389,390,391,392,393,394,395,396,397,399,400,401,
402,403,404,405,406,408,409,410,411,412,413,414,415,416,417,418,419,420,421,
422,423,424,425,427,428,430,431,432,433,434,435,436,437,438,439,440,441,442,
443,444,445,446,447,448,449,450,451,453,454,456,457,458,459,460,462,463,464,
465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,
484,485,486,487,488,490,491,494,495,496,499,500,501,502,504,505,507,508,509,
512,514,515,516,518,519,521,531,533,534,535,538,540,541,545,546,553,554,555,
557,558,561,565,566,567,568,570,571,572,573,574,575,577,588,589,590,591,592,
593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,612,
615,616,617,618,619,620,621,622,623,624,625,627,628,629,630,631,632,633,634,
635,636,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,
655,657,658,659,660,661,662,663,664,665,666,667,668,671,672,673,674,675,676,
677,678,679,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,
697,698,699,700,701,702,703,706,707,708,709,710,712,713,714,717,718,719,720,
721,723,724,725,726,727,728,729,730,733,735,737,738,739,740,741,742,743,744,
745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,763,764,
766,767,768,769,770,771,772,774,775,776,777,778,779,781,782,783,784,785,786,
787,789,790,791,792,793,794,795,796,797,799,800,801,802,803,804,805,806,807,
808,809,810,811,812,814,815,816,817,818,819,820,821,822,823,824,825,826,827,
828,830,831,832,833,834,836,837,838,840,841,842,843,844,845,847,848,849,850,
852,853,854,855,856,857,860,861,862,863,864,865,866,867,868,869,870,871,872,
873,874,875,877,878,879,880,881,883,884,885,886,887,888,889,890,891,892,893,
894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,
913,914,915,916,918,919,921,922,923,924,925,926,927,929,932,933,934,935,936,
937,938,939,940,941,942,943,944,945,947,948,949,950,951,955,956,957,958,959,
960,963,964,965,967,968,969,970,971,973,974,975,977,978,980,981,982,983,984,
985,986,989,990,991,992,993,994,995,996,997,1001,1002,1003,1004,1005,1006,
1009,1010,1011,1013,1015,1016,1017,1018,1020,1022,1023,1024,1026,1027,1029,
1043,1044,1045,1046,1047,1048,1050,1054,1055,1056,1057,1058,1059,1060,1061,
1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1086,1101,1109,
1114,1117,1125,1127,1129,1132,1134,1138,1145,1147,1149,1150,1151,1153,1154,
1155,1156,1157,1158,1159,1160,1161,1162,1164,1165,1166,1170,1171,1172,1174,
1175,1176,1177,1179,1180,1189,1190,1191,1192,1195,1196,1199,1201,1202,1203,
1205,1206,1207,1208,1209,1210,1211,1212,1214,1215,1216,1217,1218,1219,1220,
1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1236,
1238,1239,1240,1241,1242,1245,1248,1249,1250,1251,1252,1254,1257,1258,1259,
1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,
1275,1277,1278,1279,1280,1281,1283,1284,1285,1286,1287,1288,1289,1290,1291,
1292,1293,1294,1295,1296,1297,1298,1299,1304,1305,1308,1309,1310,1311,1312,
1313,1314,1315,1317,1318,1319,1320,1321,1325,1326,1327,1328,1330,1332,1335,
1336,1337,1338,1340,1341,1342,1343,1344,1346,1348,1349,1351,1352,1353,1354,
1355,1356,1357,1358,1359,1360,1363,1364,1365,1366,1367,1369,1371,1372,1373,
1374,1376,1377,1379,1382,1383,1385,1387,1388,1389,1390,1392,1394,1395,1401,
1402,1403,1404,1405,1406,1407,1408,1410,1411,1412,1413,1414,1415,1416,1418,
1419,1420,1421,1422,1424,1425,1426,1427,1431,1433,1437,1438,1439,1440,1441,
1443,1444,1445,1446,1449,1450,1451,1452,1453,1454,1456,1457,1458,1459,1460,
1462,1463,1464,1468,1469,1470,1471,1472,1474,1475,1477,1480,1481,1482,1483,
1485,1488,1491,1492,1493,1509,1511,1513,1516,1518,1521,1522,1524,1525,1526,
1530,1532,1533,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,
1547,1548,1549,1550,1551,1552,1553,1554,1555,1557,1558,1559,1560,1562,1564,
1565,1566,1567,1568,1569,1570,1571,1572,1574,1575,1576,1577,1578,1579,1580,
1581,1582,1583,1584,1591,1612,1628,1632,1633,1636,1640,1641,1644,1646,1649,
1650,1651,1652,1654,1655,1657,1658,1659,1660,1663,1665,1666,1667,1669,1670,
1671,1672,1673,1674,1675,1678,1679,1681,1682,1683,1684,1685,1686,1687,1688,
1690,1692,1693,1694,1695,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,
1710,1711,1713,1715,1717,1719,1720,1723,1724,1725,1726,1727,1728,1729,1733,
1734,1735,1736,1740,1742,1744,1745,1746,1747,1748,1749,1751,1753,1756,1757,
1769,1773,1774,1776,1778,1779,1782,1783,1785,1790,1792,1793,1794,1795,1796,
1799,1800,1801,1803,1807,1827,1842,1855,1863,1865,1874,1878,1881,1884,1886,
1888,1889,1890,1892,1893,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,
1905,1908,1909,1926,1931,1937,1940,1941,1952,1954,1962,1963,1967,1968,1969,
1970,1972,1974,1977,1979,1980,1982,1998,1999,2000,2003,2005,2032,2042,2054,
2076,2078,2079,2084,2086,2113],[1,2,3,7,9,10,11,12,17,18,19,21,22,23,28,29,37,
43,45,48,51,52,54,56,58,59,61,63,65,67,70,72,74,76,77,78,84,88,92,94,98,100,
101,104,121,123,125,128,129,136,138,140,143,144,146,148,181,184,186,190,193,
199,203,204,205,206,207,208,209,211,212,216,217,219,223,227,228,229,230,231,
232,245,255,256,261,265,271,272,277,282,287,296,303,305,309,311,312,315,317,
327,331,335,337,343,351,354,358,360,362,363,367,397,403,413,414,415,421,424,
432,442,458,460,461,472,475,480,483,485,489,536,537,539,544,547,549,560,580,
586,587,588,592,593,595,596,599,603,605,607,609,613,619,626,628,629,633,649,
657,658,661,667,669,672,674,678,683,684,685,687,700,711,715,755,761,762,774,
775,779,780,782,784,789,795,803,806,809,811,813,838,839,846,847,849,851,860,
862,866,868,876,880,882,887,894,940,960,964,965,1009,1049,1074,1075,1078,1079,
1080,1081,1082,1085,1088,1093,1135,1136,1141,1144,1145,1147,1148,1152,1156,
1158,1161,1163,1168,1172,1175,1188,1189,1191,1194,1197,1198,1203,1207,1208,
1213,1232,1235,1237,1239,1241,1243,1248,1250,1253,1263,1269,1270,1273,1286,
1297,1298,1303,1310,1314,1315,1322,1351,1354,1384,1392,1399,1417,1440,1508,
1510,1514,1527,1528,1589,1606,1611,1622,1632,1635,1642,1644,1645,1652,1662,
1664,1677,1685,1693,1698,1702,1728,1734,1741,1766,1770,1771,1774,1809,1830,
1846,1854,1856,1858,1870,1876,1877,1880,1910,1925,1928,1933,1937,1943,1955,
1956,2022,2025,2039,2057,2080,2114],[1,2,3,6,7,8,10,11,12,17,18,19,20,21,22,
23,25,26,28,29,33,36,38,39,40,44,48,51,52,54,56,57,58,59,60,61,63,64,65,66,67,
70,71,72,74,76,77,78,84,88,91,92,94,98,100,101,104,121,123,128,129,135,136,
137,138,140,142,143,144,146,147,151,154,156,163,165,166,167,175,177,178,179,
180,187,188,197,199,203,204,205,206,207,208,209,210,211,212,216,218,219,223,
227,228,229,230,231,232,236,243,244,245,248,254,255,256,258,260,261,265,271,
272,277,282,284,287,303,309,310,311,312,315,317,322,324,327,328,330,331,335,
337,340,341,343,348,351,354,355,358,360,361,363,367,368,383,384,392,397,398,
402,403,407,413,414,415,421,424,426,429,432,442,444,451,452,455,458,460,472,
475,480,483,485,492,498,511,517,531,534,535,541,542,543,548,551,553,555,558,
561,566,569,588,592,593,595,596,599,600,602,603,604,605,606,607,609,611,614,
619,628,629,633,637,640,649,656,657,658,661,665,667,670,672,674,678,679,680,
683,684,685,687,696,700,716,722,731,732,734,736,752,755,761,765,770,773,774,
775,779,782,784,786,787,788,789,795,798,803,806,809,811,829,831,835,838,847,
849,857,858,859,860,862,866,868,878,879,880,887,894,897,927,940,960,964,965,
966,987,988,999,1000,1007,1008,1009,1014,1025,1045,1046,1047,1048,1050,1056,
1059,1060,1061,1063,1066,1068,1070,1071,1072,1077,1102,1115,1117,1118,1121,
1126,1139,1145,1146,1147,1155,1156,1158,1161,1166,1167,1169,1172,1173,1175,
1189,1191,1193,1200,1203,1204,1207,1208,1228,1232,1239,1241,1244,1246,1247,
1248,1250,1255,1256,1263,1269,1270,1273,1276,1282,1286,1297,1298,1299,1300,
1301,1302,1306,1307,1309,1310,1312,1314,1315,1316,1329,1345,1351,1354,1362,
1368,1381,1386,1392,1398,1409,1423,1440,1442,1450,1461,1511,1513,1515,1517,
1518,1519,1523,1526,1533,1537,1548,1552,1553,1555,1559,1560,1563,1571,1579,
1598,1620,1632,1639,1643,1644,1652,1656,1658,1661,1668,1676,1680,1685,1693,
1697,1702,1712,1714,1728,1731,1734,1752,1761,1762,1774,1784,1805,1806,1827,
1841,1845,1857,1875,1879,1881,1882,1887,1897,1927,1934,1937,1942,1948,1957,
1958,2000,2003,2004,2040,2060,2077,2078,2082,2115],[1,2,3,4,5,6,7,9,10,11,12,
13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,37,46,47,48,49,
50,51,52,53,55,56,57,58,59,60,61,62,63,64,66,67,68,69,70,71,72,73,75,76,78,79,
80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,
106,108,112,113,117,119,122,123,126,128,129,130,131,132,133,134,135,136,137,
142,145,146,147,149,150,151,154,155,156,157,160,161,162,165,166,167,168,169,
170,181,184,186,191,192,199,200,201,202,203,204,207,208,209,210,211,212,213,
214,215,216,217,218,219,220,221,222,223,224,225,226,227,230,232,233,234,236,
237,238,240,241,242,243,244,246,248,249,250,252,254,255,258,260,262,263,265,
267,269,270,274,277,278,279,281,282,283,284,288,290,291,292,293,294,295,296,
297,298,299,301,302,303,304,306,307,308,310,311,312,313,314,315,316,317,318,
319,320,321,322,324,325,328,330,331,332,333,334,335,336,337,338,340,341,344,
345,346,348,349,351,352,353,354,355,356,357,359,361,363,365,368,369,371,373,
374,378,383,384,387,390,392,394,395,398,402,403,406,407,410,414,418,424,429,
430,431,433,436,437,438,440,441,442,443,444,445,447,449,450,451,453,454,457,
460,463,464,465,466,467,468,469,470,471,474,476,478,479,482,483,484,486,490,
514,516,519,521,536,544,547,549,560,563,564,581,583,585,586,587,588,589,590,
595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,611,612,613,614,
615,616,617,618,621,622,624,626,627,628,629,634,635,636,637,638,639,640,642,
644,646,647,650,653,654,655,656,662,663,665,666,667,669,670,673,678,679,680,
683,686,688,691,693,694,696,697,702,703,704,705,709,711,712,714,715,716,717,
718,720,723,725,726,727,729,731,732,734,736,740,741,742,743,744,750,751,752,
755,756,758,760,761,763,764,767,768,770,771,773,774,775,781,785,786,787,788,
791,792,793,796,798,799,800,801,809,813,817,821,823,824,826,827,829,831,832,
835,837,848,853,854,857,859,862,866,870,872,873,878,879,880,881,886,887,895,
897,898,901,908,910,912,914,915,916,918,924,925,927,929,930,932,933,934,938,
940,943,944,945,946,948,949,951,955,969,973,977,980,983,984,993,994,995,1000,
1011,1015,1049,1074,1076,1080,1082,1093,1097,1103,1104,1106,1107,1130,1133,
1135,1144,1146,1147,1148,1149,1152,1153,1155,1157,1159,1160,1161,1162,1163,
1165,1166,1167,1168,1169,1170,1173,1175,1176,1177,1178,1179,1180,1181,1182,
1183,1184,1185,1186,1187,1188,1189,1193,1200,1204,1208,1210,1212,1213,1219,
1221,1228,1229,1232,1235,1243,1246,1247,1253,1255,1258,1259,1265,1273,1274,
1275,1277,1282,1283,1290,1294,1295,1297,1299,1300,1305,1306,1307,1308,1309,
1310,1311,1312,1316,1317,1321,1323,1324,1326,1329,1330,1331,1332,1333,1334,
1339,1340,1341,1342,1349,1353,1363,1366,1368,1369,1372,1373,1388,1391,1393,
1404,1409,1411,1414,1425,1426,1431,1432,1434,1435,1436,1445,1446,1450,1458,
1459,1460,1463,1465,1466,1474,1491,1493,1508,1510,1514,1534,1561,1585,1586,
1599,1623,1628,1629,1630,1631,1634,1637,1638,1643,1644,1645,1646,1647,1648,
1650,1651,1653,1657,1658,1661,1664,1668,1669,1678,1680,1696,1697,1698,1700,
1708,1709,1714,1717,1718,1732,1739,1759,1764,1765,1767,1768,1775,1780,1783,
1784,1785,1792,1795,1797,1810,1830,1835,1836,1851,1852,1853,1856,1862,1870,
1910,1928,1931,1932,1936,1942,1944,1951,1965,1975,2013,2018,2026,2043,2047,
2080,2116],[1,2,3,4,5,7,9,10,11,12,15,16,17,18,19,21,22,23,24,26,27,28,29,34,
37,41,42,48,51,52,56,58,59,61,62,63,67,68,69,70,72,73,75,76,78,84,88,90,91,92,
94,98,100,101,105,107,109,110,111,114,115,116,118,120,123,124,127,128,129,136,
139,141,146,152,153,157,158,159,160,163,164,181,182,183,184,186,199,200,201,
203,204,207,208,209,211,212,216,217,219,223,227,230,232,235,236,239,240,243,
247,248,250,251,253,255,257,259,264,265,276,277,280,281,282,285,286,289,296,
300,302,303,311,312,313,315,317,323,326,329,331,333,335,337,339,342,347,350,
351,354,363,364,366,376,382,386,400,401,403,405,408,411,414,422,423,424,426,
434,442,446,452,455,459,460,477,483,488,494,495,496,512,536,544,547,549,559,
560,562,576,586,587,588,589,595,596,599,603,605,606,607,609,613,620,624,625,
626,628,629,641,643,645,648,652,655,660,662,664,667,669,671,675,677,678,682,
683,691,695,710,711,715,722,724,730,738,739,749,753,755,757,758,761,765,773,
774,775,777,778,802,804,808,809,810,812,813,814,818,820,825,828,840,842,845,
850,855,858,862,866,880,884,887,888,889,890,891,903,905,940,942,961,962,970,
971,998,1012,1024,1049,1074,1080,1082,1087,1089,1090,1091,1093,1095,1098,1135,
1144,1147,1148,1152,1154,1161,1163,1164,1168,1170,1171,1173,1174,1175,1178,
1187,1188,1189,1195,1199,1205,1208,1213,1214,1215,1218,1227,1231,1232,1235,
1242,1243,1244,1251,1253,1254,1256,1273,1276,1278,1287,1292,1293,1297,1301,
1302,1310,1318,1350,1364,1370,1375,1379,1382,1427,1428,1443,1448,1451,1467,
1472,1508,1510,1514,1556,1573,1590,1596,1601,1630,1639,1640,1644,1645,1656,
1659,1664,1684,1690,1698,1711,1716,1721,1727,1737,1738,1740,1744,1755,1758,
1763,1786,1806,1829,1830,1831,1837,1840,1847,1856,1859,1870,1910,1928,1938,
1939,1940,1948,1950,1959,2001,2021,2033,2058,2080,2117],[1,2,3,7,8,10,11,12,
17,18,19,21,22,23,28,29,36,40,44,48,51,52,54,56,58,59,61,63,65,67,70,72,74,76,
77,78,84,88,92,94,98,100,101,104,121,123,125,128,129,136,138,140,143,144,146,
148,175,177,180,187,188,199,203,204,205,206,207,208,209,211,212,216,217,219,
223,227,228,229,230,231,232,245,255,256,261,265,271,272,277,282,287,296,303,
305,309,311,312,315,317,327,331,335,337,343,351,354,358,360,362,363,367,397,
403,413,414,415,421,424,432,442,458,460,461,472,475,480,483,485,489,531,532,
534,535,541,550,552,555,556,558,561,566,586,587,588,592,593,595,596,599,603,
605,607,609,613,619,626,628,629,633,649,657,658,661,667,669,672,674,678,683,
684,685,687,700,711,715,755,761,762,774,775,779,780,782,784,789,795,803,806,
809,811,813,838,839,846,847,849,851,860,862,866,868,876,880,882,887,894,940,
960,964,965,1009,1045,1046,1050,1052,1056,1059,1060,1061,1063,1066,1068,1070,
1071,1072,1084,1096,1111,1117,1123,1124,1144,1145,1147,1148,1152,1156,1158,
1161,1163,1168,1172,1175,1188,1189,1191,1194,1197,1198,1203,1207,1208,1213,
1232,1235,1237,1239,1241,1243,1248,1250,1253,1263,1269,1270,1273,1286,1297,
1298,1303,1310,1314,1315,1322,1351,1354,1384,1392,1399,1417,1440,1507,1512,
1513,1518,1520,1526,1529,1533,1537,1548,1552,1553,1555,1559,1560,1571,1579,
1597,1632,1635,1642,1644,1645,1652,1662,1664,1677,1685,1693,1698,1702,1728,
1734,1741,1766,1770,1771,1774,1809,1827,1832,1838,1868,1869,1871,1872,1881,
1894,1897,1925,1928,1933,1937,1943,1955,1956,2000,2003,2006,2034,2057,2075,
2078,2081,2118],[1,2,3,6,7,8,10,11,12,13,14,17,18,19,20,21,22,23,25,28,32,33,
36,38,39,40,48,49,50,51,52,53,54,55,56,57,58,60,63,64,65,66,67,70,71,72,74,77,
78,80,81,82,83,84,85,86,88,89,94,98,99,100,104,106,117,118,121,123,128,130,
133,135,136,137,138,139,140,142,145,146,147,150,154,163,165,166,167,174,175,
176,177,178,179,180,197,199,202,203,204,205,206,207,208,209,210,211,212,214,
218,220,221,222,223,227,228,229,230,231,232,238,244,245,246,252,254,255,256,
258,260,261,263,269,271,272,274,277,287,289,292,293,294,298,306,307,309,310,
311,312,317,318,322,324,325,327,328,329,330,331,334,335,337,340,346,348,349,
351,352,354,356,357,358,365,368,371,373,383,384,386,390,392,393,398,402,403,
406,407,410,412,414,416,421,424,425,426,429,431,438,443,444,448,450,451,452,
455,457,460,462,463,466,468,469,470,471,473,477,478,487,492,498,511,517,531,
532,533,534,535,538,540,541,543,545,546,551,552,553,569,586,587,588,590,592,
593,595,596,597,598,599,600,601,602,603,604,605,607,608,611,612,614,617,619,
621,626,627,636,637,642,650,653,654,656,657,658,660,661,666,669,670,671,672,
673,674,679,680,683,684,685,687,696,697,700,702,709,713,714,715,716,718,722,
724,731,732,734,736,750,761,765,767,770,781,784,788,796,797,798,800,801,809,
811,813,817,823,824,826,828,829,831,834,835,841,852,853,854,858,859,860,861,
862,866,878,879,880,887,894,895,897,898,899,904,912,914,915,924,927,929,936,
938,940,943,944,945,948,966,969,974,980,984,985,987,988,993,994,995,999,1007,
1008,1011,1013,1014,1015,1025,1043,1044,1045,1046,1047,1048,1050,1051,1052,
1053,1055,1056,1059,1064,1066,1067,1068,1073,1086,1102,1108,1110,1139,1144,
1145,1146,1149,1153,1155,1157,1158,1159,1161,1162,1163,1164,1165,1167,1169,
1171,1182,1183,1185,1186,1188,1189,1192,1193,1194,1200,1201,1204,1205,1213,
1214,1219,1221,1222,1224,1225,1228,1235,1237,1239,1240,1243,1244,1248,1250,
1253,1255,1258,1271,1282,1285,1301,1302,1305,1306,1307,1308,1311,1314,1316,
1323,1324,1329,1331,1332,1334,1339,1345,1349,1355,1360,1362,1365,1368,1372,
1374,1381,1386,1391,1393,1398,1404,1409,1411,1423,1431,1432,1434,1435,1436,
1442,1446,1461,1466,1474,1491,1493,1507,1509,1511,1512,1515,1518,1519,1521,
1522,1524,1530,1531,1533,1539,1548,1550,1551,1558,1563,1569,1578,1598,1631,
1632,1635,1636,1639,1640,1641,1651,1654,1655,1661,1662,1664,1676,1677,1686,
1687,1688,1689,1691,1696,1697,1712,1715,1716,1717,1718,1731,1754,1755,1759,
1761,1764,1765,1767,1775,1777,1797,1805,1810,1827,1828,1832,1833,1866,1867,
1878,1882,1887,1896,1925,1934,1944,1945,1947,1952,1959,1960,1961,1964,1984,
1998,1999,2000,2002,2004,2006,2050,2075,2077,2079,2083,2085,2119],[1,2,3,8,11,
12,18,19,21,35,36,40,52,54,56,58,65,67,72,74,100,146,172,177,180,188,199,205,
206,207,208,223,229,256,312,337,424,460,528,531,534,535,552,556,558,586,595,
619,626,657,715,866,1046,1050,1059,1063,1068,1096,1145,1188,1194,1512,1526,
1529,1624,1635,1826,1827,1868,1996,2006,2120],[1,2,3,4,5,7,8,9,10,11,12,15,16,
17,18,19,21,22,23,24,26,27,28,34,36,37,40,41,42,43,44,45,46,47,48,51,52,56,58,
62,63,67,68,69,70,72,73,75,78,84,88,90,91,94,98,100,105,107,109,110,111,114,
115,116,120,123,124,127,128,136,141,146,152,153,157,158,159,160,164,171,175,
177,180,181,182,183,184,187,188,190,191,192,193,194,195,196,198,199,200,201,
203,204,207,208,209,211,212,223,227,230,232,235,236,239,240,243,247,248,250,
251,253,255,257,259,264,276,277,280,281,285,286,300,302,311,312,313,317,323,
326,331,333,335,337,339,342,347,350,351,354,364,366,382,403,411,414,422,424,
459,460,488,494,495,496,512,523,524,525,526,527,531,532,536,537,539,541,544,
550,552,555,556,558,559,561,562,563,564,566,576,578,579,580,582,584,585,586,
587,588,589,595,596,599,603,605,606,607,620,624,625,626,641,643,645,648,652,
655,662,664,669,675,677,682,683,691,695,710,715,730,738,739,749,753,757,758,
761,773,802,808,809,810,812,813,814,818,825,840,855,862,866,880,884,887,888,
889,890,903,905,940,1031,1032,1033,1034,1037,1038,1039,1045,1046,1050,1052,
1060,1063,1074,1076,1078,1081,1084,1087,1089,1093,1096,1097,1111,1117,1123,
1124,1128,1131,1136,1137,1140,1141,1142,1144,1154,1161,1163,1170,1173,1174,
1178,1187,1188,1189,1195,1199,1213,1218,1231,1235,1243,1253,1254,1256,1276,
1350,1379,1382,1448,1451,1472,1494,1496,1498,1500,1502,1503,1507,1508,1512,
1513,1518,1520,1526,1529,1559,1560,1594,1595,1597,1599,1601,1606,1614,1615,
1622,1630,1656,1659,1664,1737,1738,1763,1786,1812,1816,1818,1822,1829,1830,
1831,1832,1836,1838,1862,1868,1869,1871,1872,1876,1877,1881,1913,1938,1986,
1990,2001,2013,2014,2017,2019,2020,2022,2034,2062,2063,2064,2065,2066,2089,
2093,2094,2096,2099,2100,2121],[1,2,3,5,6,8,9,11,12,13,16,17,20,21,22,26,27,
33,36,37,39,42,46,50,51,52,56,57,58,60,63,64,68,72,73,81,85,86,91,99,100,110,
111,125,130,137,141,142,143,146,148,154,157,167,171,176,178,180,181,183,185,
188,192,193,200,207,209,212,221,222,223,235,236,239,244,247,252,257,269,302,
310,313,317,322,323,324,326,330,334,337,340,352,360,365,371,373,392,399,404,
424,429,431,451,457,460,461,468,497,503,506,522,525,527,531,532,536,542,543,
544,546,550,557,558,563,567,576,577,579,587,598,600,607,608,611,625,633,641,
650,655,669,670,673,680,709,714,716,732,735,773,781,788,813,831,835,843,866,
882,889,890,954,976,984,993,994,1015,1033,1034,1036,1043,1046,1047,1051,1054,
1063,1076,1081,1089,1094,1105,1121,1122,1123,1127,1136,1154,1156,1157,1178,
1182,1200,1213,1216,1252,1276,1303,1329,1334,1349,1350,1396,1397,1434,1436,
1494,1495,1496,1497,1507,1508,1515,1517,1520,1521,1525,1526,1580,1584,1595,
1618,1665,1699,1738,1741,1743,1752,1765,1812,1815,1817,1824,1828,1831,1836,
1841,1844,1871,1873,1874,1877,1883,1985,1986,1992,2014,2027,2062,2066,2068,
2092,2095,2096,2122],[1,2,3,5,6,8,9,11,12,14,16,17,20,21,22,26,27,33,36,37,38,
42,46,49,51,52,56,57,58,60,63,64,68,72,73,80,82,83,89,91,100,110,111,117,125,
137,141,142,144,146,148,154,157,167,171,174,179,180,181,183,188,189,192,193,
200,207,209,212,214,220,223,235,236,238,239,247,257,258,274,302,306,307,310,
313,317,322,323,324,326,328,337,340,343,346,388,392,409,410,424,429,451,460,
461,466,469,470,471,497,503,506,522,525,527,531,532,536,544,545,548,550,551,
554,558,563,571,575,576,579,587,601,604,607,612,614,625,641,649,655,666,669,
670,680,697,718,731,736,773,788,796,813,831,859,866,882,889,890,896,898,900,
938,943,944,954,976,980,1033,1034,1035,1044,1046,1048,1053,1063,1069,1076,
1081,1089,1113,1114,1115,1116,1120,1123,1136,1153,1154,1172,1178,1185,1200,
1213,1266,1268,1276,1303,1316,1331,1332,1350,1393,1396,1397,1466,1494,1496,
1499,1501,1507,1508,1516,1519,1520,1523,1524,1526,1575,1583,1595,1610,1649,
1738,1743,1762,1764,1766,1781,1812,1813,1814,1823,1831,1833,1834,1836,1842,
1849,1850,1871,1877,1879,1978,1986,1987,2014,2036,2062,2066,2067,2096,2097,
2098,2123],[1,2,3,6,7,8,9,10,11,12,13,14,17,18,19,20,21,22,23,25,28,32,33,36,
37,38,39,40,43,44,45,48,49,50,51,52,53,55,56,57,58,60,63,64,66,67,70,71,72,78,
80,81,82,83,84,85,86,88,89,94,98,99,100,106,117,123,128,130,133,135,136,137,
142,145,146,147,150,154,165,166,167,171,174,175,176,177,178,179,180,181,184,
185,187,188,189,190,193,197,199,202,203,204,207,208,209,210,211,212,214,218,
220,221,222,223,227,230,232,238,244,246,252,254,255,258,260,263,269,274,277,
292,293,294,298,306,307,310,311,312,317,318,322,324,325,328,330,331,334,335,
337,340,346,348,349,351,352,354,356,357,365,368,371,373,383,384,390,392,398,
402,403,406,407,410,414,424,429,431,438,443,444,450,451,457,460,463,466,468,
469,470,471,478,523,524,525,531,532,533,536,537,538,539,540,541,542,543,544,
545,546,548,550,551,552,553,554,555,556,557,558,561,565,566,567,568,569,570,
571,572,573,574,575,577,580,586,587,588,590,595,596,597,598,599,600,601,602,
603,604,605,607,608,611,612,614,617,621,626,627,636,637,642,650,653,654,656,
666,669,670,673,679,680,683,696,697,702,709,714,715,716,718,731,732,734,736,
750,761,767,770,781,788,796,798,800,801,809,813,817,823,824,826,829,831,835,
853,854,859,862,866,878,879,880,887,895,897,898,912,914,915,924,927,929,938,
940,943,944,945,948,969,980,984,993,994,995,1011,1015,1031,1032,1033,1035,
1036,1043,1044,1045,1046,1047,1048,1050,1051,1052,1053,1054,1060,1063,1069,
1074,1077,1078,1081,1083,1084,1086,1092,1093,1094,1096,1099,1100,1101,1102,
1105,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,
1122,1123,1124,1125,1126,1127,1129,1132,1134,1136,1138,1141,1144,1146,1149,
1153,1155,1157,1159,1161,1162,1163,1165,1167,1169,1182,1183,1185,1186,1188,
1189,1193,1200,1204,1213,1219,1221,1228,1235,1243,1253,1255,1258,1282,1305,
1306,1307,1308,1311,1316,1323,1324,1329,1331,1332,1334,1339,1349,1368,1372,
1391,1393,1404,1409,1411,1431,1432,1434,1435,1436,1446,1466,1474,1491,1493,
1494,1495,1498,1501,1504,1505,1507,1508,1509,1511,1512,1513,1515,1516,1517,
1518,1519,1520,1521,1522,1523,1524,1525,1526,1529,1530,1531,1559,1560,1563,
1568,1572,1574,1575,1577,1580,1581,1582,1583,1584,1588,1592,1597,1602,1603,
1604,1606,1607,1608,1610,1612,1617,1618,1620,1621,1622,1631,1651,1661,1664,
1696,1697,1717,1718,1759,1764,1765,1767,1775,1797,1810,1812,1813,1814,1815,
1816,1817,1818,1821,1828,1830,1832,1833,1834,1838,1839,1841,1842,1843,1844,
1845,1848,1849,1850,1855,1857,1860,1861,1863,1864,1865,1866,1867,1868,1869,
1871,1872,1873,1874,1875,1876,1877,1878,1879,1881,1882,1883,1886,1893,1899,
1905,1914,1944,1986,1987,1988,1989,1990,1991,1992,1993,2002,2009,2022,2024,
2027,2028,2029,2030,2031,2032,2034,2035,2036,2037,2038,2040,2062,2063,2064,
2067,2068,2069,2088,2092,2094,2097,2101,2102,2124],[1,2,3,7,8,9,10,11,12,17,
18,19,21,22,23,28,36,37,40,43,44,45,48,51,52,56,58,63,67,70,72,78,84,88,94,98,
100,123,125,128,136,143,144,146,148,171,175,177,180,181,184,187,188,190,193,
199,203,204,207,208,209,211,212,223,227,230,232,255,277,305,311,312,317,331,
335,337,343,351,354,360,362,367,403,414,424,460,461,475,489,523,524,525,531,
532,536,537,539,541,544,550,552,555,556,558,561,566,580,586,587,588,595,596,
599,603,605,607,626,633,649,669,683,715,761,762,780,789,809,813,862,866,868,
880,882,887,940,1031,1032,1033,1045,1046,1050,1052,1060,1063,1074,1078,1081,
1084,1093,1096,1111,1117,1123,1124,1136,1141,1144,1156,1161,1163,1172,1188,
1189,1197,1198,1213,1235,1243,1253,1270,1298,1303,1494,1497,1498,1499,1507,
1508,1512,1513,1518,1520,1526,1529,1559,1560,1597,1606,1622,1642,1652,1664,
1741,1766,1812,1816,1818,1819,1830,1832,1838,1868,1869,1871,1872,1876,1877,
1881,1956,1986,1990,2022,2034,2062,2063,2064,2094,2095,2098,2125],[1,2,3,4,6,
8,9,11,12,13,15,17,20,21,22,24,26,33,36,37,39,41,47,50,51,52,56,57,58,60,63,
64,69,72,75,81,85,86,91,99,100,105,120,125,127,130,137,142,144,146,148,154,
160,167,171,176,178,180,181,182,185,188,191,193,201,207,209,212,221,222,223,
236,244,251,252,253,259,264,269,281,310,317,322,324,330,333,334,337,339,340,
343,352,364,365,371,373,392,419,424,428,429,431,451,457,460,461,468,493,510,
513,520,525,526,531,532,536,542,543,544,546,550,557,558,562,564,567,577,578,
587,598,600,607,608,611,649,650,652,664,669,670,673,680,691,709,714,716,732,
773,776,781,788,802,813,831,835,855,856,866,882,952,953,984,993,994,1015,1033,
1036,1037,1043,1046,1047,1051,1054,1063,1081,1087,1094,1097,1105,1121,1122,
1123,1127,1136,1157,1172,1174,1182,1187,1200,1213,1276,1288,1291,1303,1329,
1334,1349,1429,1434,1436,1448,1455,1494,1495,1499,1500,1507,1508,1515,1517,
1520,1521,1525,1526,1580,1584,1615,1618,1663,1699,1762,1763,1765,1766,1772,
1812,1815,1817,1820,1828,1829,1841,1844,1862,1871,1873,1874,1877,1883,1976,
1986,1992,2020,2027,2062,2065,2068,2092,2093,2098,2126],[1,2,3,4,6,8,9,11,12,
14,15,17,20,21,22,24,26,33,36,37,38,41,47,49,51,52,56,57,58,60,63,64,69,72,75,
80,82,83,89,91,100,105,117,120,125,127,137,142,143,146,148,154,160,167,171,
174,179,180,181,182,188,189,191,193,201,207,209,212,214,220,223,236,238,251,
253,258,259,264,274,281,306,307,310,317,322,324,328,333,337,339,340,346,360,
364,391,392,410,424,427,429,451,460,461,466,469,470,471,493,510,513,520,525,
526,531,532,536,544,545,548,550,551,554,558,562,564,571,575,578,587,601,604,
607,612,614,633,652,664,666,669,670,680,691,697,718,731,736,773,788,796,802,
813,831,855,859,866,882,898,906,909,938,943,944,952,953,980,1033,1035,1037,
1044,1046,1048,1053,1063,1069,1081,1087,1097,1113,1114,1115,1116,1120,1123,
1136,1153,1156,1174,1185,1187,1200,1213,1276,1280,1289,1303,1316,1331,1332,
1393,1429,1448,1455,1466,1494,1497,1500,1501,1507,1508,1516,1519,1520,1523,
1524,1526,1575,1583,1610,1615,1660,1741,1752,1763,1764,1772,1781,1812,1813,
1814,1825,1829,1833,1834,1842,1849,1850,1862,1871,1877,1879,1971,1986,1987,
2020,2036,2062,2065,2067,2093,2095,2097,2127],[1,2,4,5,7,8,9,10,13,14,15,16,
21,23,34,35,36,37,41,42,43,44,45,46,47,53,59,62,74,86,87,89,92,93,94,95,96,
105,118,121,139,141,143,144,150,159,171,172,173,174,175,176,182,183,184,185,
187,188,189,190,191,192,193,194,195,196,198,213,215,216,272,273,275,292,295,
338,345,367,370,372,377,381,386,391,393,399,400,405,409,415,416,419,420,432,
434,439,446,462,472,485,487,488,523,524,525,526,527,528,529,530,533,534,547,
559,566,570,572,573,575,577,578,579,580,582,584,585,615,708,921,936,937,958,
963,964,967,970,975,982,986,1003,1026,1031,1032,1033,1034,1035,1036,1037,1038,
1039,1040,1041,1042,1055,1056,1057,1061,1065,1072,1073,1079,1080,1085,1091,
1098,1104,1106,1129,1142,1492,1495,1496,1497,1498,1499,1500,1501,1502,1503,
1504,1505,1506,1535,1538,1551,1552,1554,1557,1566,1585,1587,1589,1590,1593,
1605,1619,1624,1625,1819,1820,1821,1822,1823,1824,1825,1900,1912,1918,1919,
1920,1921,1922,1923,1994,2044,2045,2074,2104,2106,2108,2128],[1,2,4,5,7,8,9,
10,13,14,15,16,21,23,34,35,36,37,41,42,43,44,45,46,47,53,61,62,74,79,86,89,94,
97,101,102,103,105,118,121,139,141,143,144,150,159,171,172,173,174,175,176,
182,183,184,185,187,188,189,190,191,192,193,194,195,196,198,219,224,225,266,
268,272,290,291,292,314,367,376,379,386,389,391,393,396,397,399,401,408,409,
413,416,419,423,435,456,458,462,480,481,487,488,523,524,525,526,527,528,529,
530,533,534,549,559,566,570,572,573,575,577,578,579,580,582,584,585,616,701,
919,921,936,965,968,971,989,992,1002,1004,1005,1022,1023,1031,1032,1033,1034,
1035,1036,1037,1038,1039,1040,1041,1042,1055,1056,1058,1062,1070,1071,1073,
1075,1082,1088,1090,1095,1103,1107,1129,1142,1483,1495,1496,1497,1498,1499,
1500,1501,1502,1503,1504,1505,1506,1532,1540,1541,1543,1551,1553,1565,1586,
1596,1600,1609,1611,1613,1616,1624,1626,1819,1820,1821,1822,1823,1824,1825,
1898,1911,1915,1916,1917,1920,1921,1922,1994,2044,2046,2073,2105,2107,2109,
2129],[1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,
28,29,30,31,32,33,34,36,38,39,40,44,48,49,50,51,52,53,54,55,56,57,58,59,60,61,
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,
167,168,169,170,174,175,176,177,178,179,180,185,187,188,189,197,199,200,201,
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,
506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,531,532,
533,534,535,538,540,541,542,543,545,546,548,550,551,552,553,554,555,556,557,
558,561,565,566,567,568,569,570,571,572,573,574,575,577,586,587,588,589,590,
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,
1022,1023,1024,1025,1026,1027,1028,1029,1030,1043,1044,1045,1046,1047,1048,
1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,
1065,1066,1067,1068,1069,1070,1071,1072,1073,1077,1083,1084,1086,1092,1094,
1096,1099,1100,1101,1102,1105,1108,1109,1110,1111,1112,1113,1114,1115,1116,
1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1129,1132,1134,1138,
1139,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,
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,
1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,
1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,
1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,
1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,
1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,
1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,
1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,
1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,
1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,
1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,
1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,
1488,1489,1490,1491,1492,1493,1507,1509,1511,1512,1513,1515,1516,1517,1518,
1519,1520,1521,1522,1523,1524,1525,1526,1529,1530,1531,1532,1533,1535,1536,
1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,
1552,1553,1554,1555,1557,1558,1559,1560,1562,1563,1564,1565,1566,1567,1568,
1569,1570,1571,1572,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,
1588,1591,1592,1597,1598,1602,1603,1604,1607,1608,1610,1612,1617,1618,1620,
1621,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,
1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,
1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,
1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,
1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,
1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,
1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,
1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,
1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,
1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,
1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,
1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,
1807,1808,1809,1810,1811,1827,1828,1832,1833,1834,1838,1839,1841,1842,1843,
1844,1845,1848,1849,1850,1855,1857,1860,1861,1863,1864,1865,1866,1867,1868,
1869,1871,1872,1873,1874,1875,1878,1879,1881,1882,1883,1884,1886,1887,1888,
1889,1890,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,1903,1904,
1905,1908,1909,1914,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,
1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,
1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,
1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,
1981,1982,1983,1984,1985,1998,1999,2000,2002,2003,2004,2005,2006,2009,2024,
2027,2028,2029,2030,2031,2032,2034,2035,2036,2037,2038,2040,2041,2042,2047,
2048,2049,2050,2051,2052,2053,2054,2055,2056,2057,2058,2059,2060,2061,2075,
2076,2077,2078,2079,2081,2082,2083,2084,2085,2086,2088,2091,2110,2111,2112,
2113,2115,2118,2119,2130],[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,20,
21,22,23,24,25,26,27,28,29,30,31,32,33,34,37,41,42,43,45,46,47,48,49,50,51,52,
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,
160,161,162,163,164,165,166,167,168,169,170,181,182,183,184,186,190,191,192,
193,194,195,196,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,
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,
517,518,519,520,521,522,536,537,539,544,547,549,559,560,562,563,564,576,578,
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,
1028,1029,1030,1049,1074,1075,1076,1078,1079,1080,1081,1082,1085,1087,1088,
1089,1090,1091,1093,1095,1097,1098,1103,1104,1106,1107,1128,1130,1131,1133,
1135,1136,1137,1140,1141,1142,1144,1145,1146,1147,1148,1149,1150,1151,1152,
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,
1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,
1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,
1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,
1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,
1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,
1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,
1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,
1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,
1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,
1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,
1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,
1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1508,1510,1514,1527,
1528,1534,1556,1561,1573,1585,1586,1587,1589,1590,1593,1594,1595,1596,1599,
1600,1601,1605,1606,1609,1611,1613,1614,1615,1616,1619,1622,1623,1628,1629,
1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,
1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,
1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,
1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,
1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,
1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,
1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,
1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,
1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,
1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,
1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,
1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,
1810,1811,1829,1830,1831,1835,1836,1837,1840,1846,1847,1851,1852,1853,1854,
1856,1858,1859,1862,1870,1876,1877,1880,1885,1891,1906,1907,1910,1911,1912,
1913,1925,1926,1927,1928,1929,1930,1931,1932,1933,1934,1935,1936,1937,1938,
1939,1940,1941,1942,1943,1944,1945,1946,1947,1948,1949,1950,1951,1952,1953,
1954,1955,1956,1957,1958,1959,1960,1961,1962,1963,1964,1965,1966,1967,1968,
1969,1970,1971,1972,1973,1974,1975,1976,1977,1978,1979,1980,1981,1982,1983,
1984,1985,2001,2007,2008,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,
2020,2021,2022,2023,2025,2026,2033,2039,2043,2047,2048,2049,2050,2051,2052,
2053,2054,2055,2056,2057,2058,2059,2060,2061,2080,2087,2089,2090,2091,2114,
2116,2117,2131],[1,2,3,6,8,11,12,14,18,19,20,21,33,35,36,38,39,40,49,52,54,56,
57,58,60,64,65,67,72,74,80,82,83,89,100,117,137,139,142,146,163,165,166,172,
174,177,178,179,180,188,189,197,199,205,206,207,208,214,220,223,229,238,244,
256,274,289,306,307,312,322,324,328,330,337,340,346,383,392,410,424,426,451,
460,462,466,469,470,471,473,511,517,528,531,534,535,538,542,543,545,552,554,
556,558,569,571,575,586,595,600,601,611,612,619,621,626,637,642,656,657,671,
715,716,718,732,796,829,831,835,852,858,866,898,899,938,943,944,966,980,987,
1041,1044,1046,1047,1048,1050,1059,1063,1067,1068,1069,1073,1083,1096,1100,
1108,1112,1114,1121,1139,1145,1162,1164,1186,1188,1193,1194,1222,1224,1301,
1324,1329,1332,1362,1391,1432,1461,1512,1515,1516,1517,1524,1526,1529,1530,
1563,1575,1578,1583,1598,1608,1624,1635,1655,1689,1754,1755,1761,1775,1826,
1827,1839,1841,1842,1843,1860,1867,1868,1922,1961,1996,1998,2004,2006,2009,
2071,2085,2120,2132],[1,2,3,7,9,10,11,12,17,18,19,21,22,23,28,29,35,37,43,45,
48,51,52,56,58,59,61,63,67,70,72,76,78,84,88,92,94,98,100,101,123,128,129,136,
146,172,173,181,184,186,190,193,199,203,204,207,208,209,211,212,216,217,219,
223,227,230,232,255,265,277,282,296,303,311,312,315,317,331,335,337,351,354,
363,403,414,424,442,460,483,528,529,530,536,537,539,544,547,549,560,580,586,
587,588,595,596,599,603,605,607,609,613,626,628,629,667,669,678,683,711,715,
755,761,774,775,809,813,862,866,880,887,940,1040,1049,1074,1078,1080,1081,
1082,1093,1135,1136,1141,1143,1144,1147,1148,1152,1161,1163,1168,1175,1188,
1189,1208,1213,1232,1235,1243,1253,1273,1297,1310,1508,1510,1514,1606,1622,
1625,1626,1627,1644,1645,1664,1698,1826,1830,1856,1870,1876,1877,1910,1916,
1923,1924,1928,1995,1996,1997,2022,2070,2080,2133],[1,2,3,7,8,10,11,12,17,18,
19,21,22,23,28,35,36,40,44,48,51,52,54,56,58,63,65,67,70,72,74,77,78,84,88,94,
98,100,104,121,123,128,136,138,140,146,172,173,175,177,180,187,188,199,203,
204,205,206,207,208,209,211,212,223,227,228,229,230,231,232,245,255,256,261,
271,272,277,287,309,311,312,317,327,331,335,337,351,354,358,403,414,421,424,
460,528,529,530,531,532,534,535,541,550,552,555,556,558,561,566,586,587,588,
592,593,595,596,599,603,605,607,619,626,657,658,661,669,672,674,683,684,685,
687,700,715,761,784,809,811,813,860,862,866,880,887,894,940,1040,1045,1046,
1050,1052,1056,1059,1060,1063,1066,1068,1084,1096,1111,1117,1123,1124,1144,
1145,1158,1161,1163,1188,1189,1194,1213,1235,1237,1239,1243,1248,1250,1253,
1314,1507,1512,1513,1518,1520,1526,1529,1533,1548,1559,1560,1597,1624,1632,
1635,1662,1664,1677,1826,1827,1832,1838,1868,1869,1871,1872,1881,1920,1925,
1995,1996,1997,2000,2006,2034,2070,2075,2120,2134],[1,2,3,6,8,11,12,13,18,19,
20,21,33,35,36,38,39,40,50,52,54,56,57,58,60,64,65,67,72,74,81,85,86,99,100,
118,130,137,142,146,163,165,166,172,176,177,178,179,180,185,188,197,199,205,
206,207,208,221,222,223,229,252,256,258,269,310,312,324,328,329,330,334,337,
340,352,365,371,373,383,392,393,424,426,431,448,451,457,460,468,511,517,528,
531,534,535,540,546,548,551,552,556,557,558,567,569,577,586,595,598,604,608,
614,619,626,627,636,637,656,657,660,709,713,714,715,731,736,781,829,831,858,
859,866,904,966,984,987,993,994,1015,1042,1043,1046,1047,1048,1050,1054,1055,
1059,1063,1064,1068,1092,1096,1099,1110,1115,1119,1127,1139,1145,1159,1171,
1183,1188,1192,1193,1194,1225,1301,1316,1323,1339,1349,1362,1435,1461,1512,
1519,1521,1522,1523,1525,1526,1529,1563,1569,1580,1584,1598,1602,1624,1635,
1654,1691,1696,1716,1761,1777,1826,1827,1848,1861,1864,1866,1868,1874,1879,
1921,1984,1996,1999,2004,2006,2029,2072,2083,2120,2135],[1,2,3,4,5,6,7,8,9,10,
11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,32,33,34,36,37,38,39,40,
41,42,43,44,45,46,47,48,49,50,51,52,53,55,56,57,58,60,62,63,64,66,67,68,69,70,
71,72,73,75,78,80,81,82,83,84,85,86,88,89,90,91,94,98,99,100,105,106,107,109,
110,111,114,115,116,117,120,123,124,125,127,128,130,133,135,136,137,141,142,
143,144,145,146,147,148,150,152,153,154,157,158,159,160,164,165,166,167,171,
174,175,176,177,178,179,180,181,182,183,184,185,187,188,189,190,191,192,193,
194,195,196,197,198,199,200,201,202,203,204,207,208,209,210,211,212,214,218,
220,221,222,223,227,230,232,235,236,238,239,240,243,244,246,247,248,250,251,
252,253,254,255,257,258,259,260,263,264,269,274,276,277,280,281,285,286,292,
293,294,298,300,302,305,306,307,310,311,312,313,317,318,322,323,324,325,326,
328,330,331,333,334,335,337,339,340,342,343,346,347,348,349,350,351,352,354,
356,357,360,362,364,365,366,367,368,371,373,382,383,384,388,390,391,392,398,
399,402,403,404,406,407,409,410,411,414,419,422,424,427,428,429,431,438,443,
444,450,451,457,459,460,461,463,466,468,469,470,471,475,478,488,489,493,494,
495,496,497,503,506,510,512,513,520,522,523,524,525,526,527,531,532,533,536,
537,538,539,540,541,542,543,544,545,546,548,550,551,552,553,554,555,556,557,
558,559,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,
578,579,580,582,584,585,586,587,588,589,590,595,596,597,598,599,600,601,602,
603,604,605,606,607,608,611,612,614,617,620,621,624,625,626,627,633,636,637,
641,642,643,645,648,649,650,652,653,654,655,656,662,664,666,669,670,673,675,
677,679,680,682,683,691,695,696,697,702,709,710,714,715,716,718,730,731,732,
734,735,736,738,739,749,750,753,757,758,761,762,767,770,773,776,780,781,788,
789,796,798,800,801,802,808,809,810,812,813,814,817,818,823,824,825,826,829,
831,835,840,843,853,854,855,856,859,862,866,868,878,879,880,882,884,887,888,
889,890,895,896,897,898,900,903,905,906,909,912,914,915,921,924,926,927,929,
931,938,940,943,944,945,948,952,953,954,956,957,969,972,976,980,984,993,994,
995,1011,1015,1019,1021,1028,1030,1031,1032,1033,1034,1035,1036,1037,1038,
1039,1043,1044,1045,1046,1047,1048,1050,1051,1052,1053,1054,1060,1063,1069,
1074,1076,1077,1078,1081,1083,1084,1086,1087,1089,1092,1093,1094,1096,1097,
1099,1100,1101,1102,1105,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,
1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1131,1132,1134,
1136,1137,1138,1140,1141,1142,1144,1146,1149,1153,1154,1155,1156,1157,1159,
1161,1162,1163,1165,1167,1169,1170,1172,1173,1174,1178,1182,1183,1185,1186,
1187,1188,1189,1193,1195,1197,1198,1199,1200,1204,1213,1216,1218,1219,1221,
1228,1231,1235,1243,1252,1253,1254,1255,1256,1258,1266,1268,1270,1276,1280,
1282,1288,1289,1291,1298,1303,1305,1306,1307,1308,1311,1316,1323,1324,1329,
1331,1332,1334,1339,1349,1350,1356,1359,1368,1372,1378,1379,1380,1382,1389,
1390,1391,1393,1396,1397,1400,1404,1409,1411,1429,1430,1431,1432,1434,1435,
1436,1446,1448,1451,1455,1466,1472,1474,1491,1493,1494,1495,1496,1497,1498,
1499,1500,1501,1502,1503,1504,1505,1507,1508,1509,1511,1512,1513,1515,1516,
1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1529,1530,1531,1559,1560,
1563,1568,1572,1574,1575,1577,1580,1581,1582,1583,1584,1588,1592,1594,1595,
1597,1599,1601,1602,1603,1604,1606,1607,1608,1610,1612,1614,1615,1617,1618,
1620,1621,1622,1630,1631,1642,1649,1651,1652,1656,1659,1660,1661,1663,1664,
1665,1696,1697,1699,1710,1717,1718,1722,1729,1737,1738,1741,1743,1752,1759,
1760,1762,1763,1764,1765,1766,1767,1769,1772,1775,1778,1781,1786,1797,1798,
1810,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,
1828,1829,1830,1831,1832,1833,1834,1836,1838,1839,1841,1842,1843,1844,1845,
1848,1849,1850,1855,1857,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,
1871,1872,1873,1874,1875,1876,1877,1878,1879,1881,1882,1883,1886,1893,1899,
1905,1913,1914,1929,1930,1938,1941,1944,1956,1957,1971,1976,1978,1985,1986,
1987,1988,1989,1990,1991,1992,1993,1994,2001,2002,2009,2013,2014,2017,2019,
2020,2022,2024,2027,2028,2029,2030,2031,2032,2034,2035,2036,2037,2038,2040,
2051,2062,2063,2064,2065,2066,2067,2068,2069,2088,2089,2092,2093,2094,2095,
2096,2097,2098,2099,2100,2101,2102,2121,2122,2123,2124,2125,2126,2127,2136],[
1,2,3,6,7,8,10,11,12,13,14,17,18,19,20,21,22,23,25,28,32,33,35,36,38,39,40,44,
48,49,50,51,52,53,54,55,56,57,58,60,63,64,65,66,67,70,71,72,74,77,78,80,81,82,
83,84,85,86,88,89,94,98,99,100,104,106,117,118,121,123,128,130,133,135,136,
137,138,139,140,142,145,146,147,150,154,163,165,166,167,172,173,174,175,176,
177,178,179,180,185,187,188,189,197,199,202,203,204,205,206,207,208,209,210,
211,212,214,218,220,221,222,223,227,228,229,230,231,232,238,244,245,246,252,
254,255,256,258,260,261,263,269,271,272,274,277,287,289,292,293,294,298,306,
307,309,310,311,312,317,318,322,324,325,327,328,329,330,331,334,335,337,340,
346,348,349,351,352,354,356,357,358,365,368,371,373,383,384,386,390,392,393,
398,402,403,406,407,410,412,414,416,421,424,425,426,429,431,438,443,444,448,
450,451,452,455,457,460,462,463,466,468,469,470,471,473,477,478,487,492,498,
511,517,528,529,530,531,532,533,534,535,538,540,541,542,543,545,546,548,550,
551,552,553,554,555,556,557,558,561,565,566,567,568,569,570,571,572,573,574,
575,577,586,587,588,590,592,593,595,596,597,598,599,600,601,602,603,604,605,
607,608,611,612,614,617,619,621,626,627,636,637,642,650,653,654,656,657,658,
660,661,666,669,670,671,672,673,674,679,680,683,684,685,687,696,697,700,702,
709,713,714,715,716,718,722,724,731,732,734,736,750,761,765,767,770,781,784,
788,796,797,798,800,801,809,811,813,817,823,824,826,828,829,831,834,835,841,
852,853,854,858,859,860,861,862,866,878,879,880,887,894,895,897,898,899,904,
912,914,915,924,927,929,936,938,940,943,944,945,948,966,969,974,980,984,985,
987,988,993,994,995,999,1007,1008,1011,1013,1014,1015,1025,1040,1041,1042,
1043,1044,1045,1046,1047,1048,1050,1051,1052,1053,1054,1055,1056,1059,1060,
1063,1064,1066,1067,1068,1069,1073,1077,1083,1084,1086,1092,1094,1096,1099,
1100,1101,1102,1105,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,
1119,1120,1121,1122,1123,1124,1125,1126,1127,1129,1132,1134,1138,1139,1144,
1145,1146,1149,1153,1155,1157,1158,1159,1161,1162,1163,1164,1165,1167,1169,
1171,1182,1183,1185,1186,1188,1189,1192,1193,1194,1200,1201,1204,1205,1213,
1214,1219,1221,1222,1224,1225,1228,1235,1237,1239,1240,1243,1244,1248,1250,
1253,1255,1258,1271,1282,1285,1301,1302,1305,1306,1307,1308,1311,1314,1316,
1323,1324,1329,1331,1332,1334,1339,1345,1349,1355,1360,1362,1365,1368,1372,
1374,1381,1386,1391,1393,1398,1404,1409,1411,1423,1431,1432,1434,1435,1436,
1442,1446,1461,1466,1474,1491,1493,1506,1507,1509,1511,1512,1513,1515,1516,
1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1529,1530,1531,1533,1539,
1548,1550,1551,1558,1559,1560,1563,1568,1569,1572,1574,1575,1577,1578,1580,
1581,1582,1583,1584,1588,1592,1597,1598,1602,1603,1604,1607,1608,1610,1612,
1617,1618,1620,1621,1624,1631,1632,1635,1636,1639,1640,1641,1651,1654,1655,
1661,1662,1664,1676,1677,1686,1687,1688,1689,1691,1696,1697,1712,1715,1716,
1717,1718,1731,1754,1755,1759,1761,1764,1765,1767,1775,1777,1797,1805,1810,
1826,1827,1828,1832,1833,1834,1838,1839,1841,1842,1843,1844,1845,1848,1849,
1850,1855,1857,1860,1861,1863,1864,1865,1866,1867,1868,1869,1871,1872,1873,
1874,1875,1878,1879,1881,1882,1883,1886,1887,1893,1896,1899,1905,1914,1920,
1921,1922,1925,1934,1944,1945,1947,1952,1959,1960,1961,1964,1984,1995,1996,
1997,1998,1999,2000,2002,2004,2006,2009,2024,2027,2028,2029,2030,2031,2032,
2034,2035,2036,2037,2038,2040,2044,2050,2070,2071,2072,2075,2077,2079,2083,
2085,2088,2103,2119,2120,2132,2134,2135,2137],[1,2,3,4,5,7,9,10,11,12,15,16,
17,18,19,21,22,23,24,26,27,28,29,34,35,37,41,42,43,45,46,47,48,51,52,56,58,59,
61,62,63,67,68,69,70,72,73,75,76,78,84,88,90,91,92,94,98,100,101,105,107,109,
110,111,114,115,116,118,120,123,124,127,128,129,136,139,141,146,152,153,157,
158,159,160,163,164,172,173,181,182,183,184,186,190,191,192,193,194,195,196,
198,199,200,201,203,204,207,208,209,211,212,216,217,219,223,227,230,232,235,
236,239,240,243,247,248,250,251,253,255,257,259,264,265,276,277,280,281,282,
285,286,289,296,300,302,303,311,312,313,315,317,323,326,329,331,333,335,337,
339,342,347,350,351,354,363,364,366,376,382,386,400,401,403,405,408,411,414,
422,423,424,426,434,442,446,452,455,459,460,477,483,488,494,495,496,512,528,
529,530,536,537,539,544,547,549,559,560,562,563,564,576,578,579,580,582,584,
585,586,587,588,589,595,596,599,603,605,606,607,609,613,620,624,625,626,628,
629,641,643,645,648,652,655,660,662,664,667,669,671,675,677,678,682,683,691,
695,710,711,715,722,724,730,738,739,749,753,755,757,758,761,765,773,774,775,
777,778,802,804,808,809,810,812,813,814,818,820,825,828,840,842,845,850,855,
858,862,866,880,884,887,888,889,890,891,903,905,940,942,961,962,970,971,998,
1012,1024,1040,1041,1042,1049,1074,1076,1078,1080,1081,1082,1087,1089,1090,
1091,1093,1095,1097,1098,1128,1131,1135,1136,1137,1140,1141,1142,1143,1144,
1147,1148,1152,1154,1161,1163,1164,1168,1170,1171,1173,1174,1175,1178,1187,
1188,1189,1195,1199,1205,1208,1213,1214,1215,1218,1227,1231,1232,1235,1242,
1243,1244,1251,1253,1254,1256,1273,1276,1278,1287,1292,1293,1297,1301,1302,
1310,1318,1350,1364,1370,1375,1379,1382,1427,1428,1443,1448,1451,1467,1472,
1506,1508,1510,1514,1556,1573,1590,1594,1595,1596,1599,1601,1606,1614,1615,
1622,1625,1626,1627,1630,1639,1640,1644,1645,1656,1659,1664,1684,1690,1698,
1711,1716,1721,1727,1737,1738,1740,1744,1755,1758,1763,1786,1806,1826,1829,
1830,1831,1836,1837,1840,1847,1856,1859,1862,1870,1876,1877,1910,1913,1915,
1916,1917,1918,1919,1923,1924,1928,1938,1939,1940,1948,1950,1959,1995,1996,
1997,2001,2013,2014,2017,2019,2020,2021,2022,2033,2045,2046,2058,2070,2071,
2072,2080,2089,2103,2117,2133,2138],[1,2,3,7,8,9,10,11,12,17,18,19,21,22,23,
28,29,35,36,37,40,43,44,45,48,51,52,54,56,58,59,61,63,65,67,70,72,74,76,77,78,
84,88,92,94,98,100,101,104,121,123,125,128,129,136,138,140,143,144,146,148,
171,172,173,175,177,180,181,184,186,187,188,190,193,199,203,204,205,206,207,
208,209,211,212,216,217,219,223,227,228,229,230,231,232,245,255,256,261,265,
271,272,277,282,287,296,303,305,309,311,312,315,317,327,331,335,337,343,351,
354,358,360,362,363,367,397,403,413,414,415,421,424,432,442,458,460,461,472,
475,480,483,485,489,523,524,525,528,529,530,531,532,534,535,536,537,539,541,
544,547,549,550,552,555,556,558,560,561,566,580,586,587,588,592,593,595,596,
599,603,605,607,609,613,619,626,628,629,633,649,657,658,661,667,669,672,674,
678,683,684,685,687,700,711,715,755,761,762,774,775,779,780,782,784,789,795,
803,806,809,811,813,838,839,846,847,849,851,860,862,866,868,876,880,882,887,
894,940,960,964,965,1009,1031,1032,1033,1040,1045,1046,1049,1050,1052,1056,
1059,1060,1061,1063,1066,1068,1070,1071,1072,1074,1075,1078,1079,1080,1081,
1082,1084,1085,1088,1093,1096,1111,1117,1123,1124,1135,1136,1141,1143,1144,
1145,1147,1148,1152,1156,1158,1161,1163,1168,1172,1175,1188,1189,1191,1194,
1197,1198,1203,1207,1208,1213,1232,1235,1237,1239,1241,1243,1248,1250,1253,
1263,1269,1270,1273,1286,1297,1298,1303,1310,1314,1315,1322,1351,1354,1384,
1392,1399,1417,1440,1494,1497,1498,1499,1507,1508,1510,1512,1513,1514,1518,
1520,1526,1527,1528,1529,1533,1537,1548,1552,1553,1555,1559,1560,1571,1579,
1589,1597,1606,1611,1622,1624,1625,1626,1627,1632,1635,1642,1644,1645,1652,
1662,1664,1677,1685,1693,1698,1702,1728,1734,1741,1766,1770,1771,1774,1809,
1812,1816,1818,1819,1826,1827,1830,1832,1838,1846,1854,1856,1858,1868,1869,
1870,1871,1872,1876,1877,1880,1881,1894,1897,1910,1916,1920,1923,1924,1925,
1928,1933,1937,1943,1955,1956,1986,1990,1995,1996,1997,2000,2003,2006,2022,
2025,2034,2039,2057,2062,2063,2064,2070,2073,2074,2075,2078,2080,2081,2094,
2095,2098,2104,2107,2114,2118,2120,2125,2133,2134,2139],[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,
1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,
1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,
1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,
1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,
1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,
1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,
1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,
1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,
1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,
1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,
1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,
1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,
1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,
1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,
1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,
1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,
1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,
1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,
1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,
1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,
1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,
1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,
1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,
1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,
1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,
1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,
1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,
1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,
1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,
1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,
1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,
1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,
1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,
1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,
1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,
1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,
1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,
1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,
1888,1889,1890,1891,1892,1893,1894,1895,1896,1897,1898,1899,1900,1901,1902,
1903,1904,1905,1906,1907,1908,1909,1910,1911,1912,1913,1914,1915,1916,1917,
1918,1919,1920,1921,1922,1923,1924,1925,1926,1927,1928,1929,1930,1931,1932,
1933,1934,1935,1936,1937,1938,1939,1940,1941,1942,1943,1944,1945,1946,1947,
1948,1949,1950,1951,1952,1953,1954,1955,1956,1957,1958,1959,1960,1961,1962,
1963,1964,1965,1966,1967,1968,1969,1970,1971,1972,1973,1974,1975,1976,1977,
1978,1979,1980,1981,1982,1983,1984,1985,1986,1987,1988,1989,1990,1991,1992,
1993,1994,1995,1996,1997,1998,1999,2000,2001,2002,2003,2004,2005,2006,2007,
2008,2009,2010,2011,2012,2013,2014,2015,2016,2017,2018,2019,2020,2021,2022,
2023,2024,2025,2026,2027,2028,2029,2030,2031,2032,2033,2034,2035,2036,2037,
2038,2039,2040,2041,2042,2043,2044,2045,2046,2047,2048,2049,2050,2051,2052,
2053,2054,2055,2056,2057,2058,2059,2060,2061,2062,2063,2064,2065,2066,2067,
2068,2069,2070,2071,2072,2073,2074,2075,2076,2077,2078,2079,2080,2081,2082,
2083,2084,2085,2086,2087,2088,2089,2090,2091,2092,2093,2094,2095,2096,2097,
2098,2099,2100,2101,2102,2103,2104,2105,2106,2107,2108,2109,2110,2111,2112,
2113,2114,2115,2116,2117,2118,2119,2120,2121,2122,2123,2124,2125,2126,2127,
2128,2129,2130,2131,2132,2133,2134,2135,2136,2137,2138,2139,2140]],
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,
1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,3,1],[1,1,1],[1,1,1],[1,1,2,1],[1,1,
1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,1,2,1],[1,1,1],[1,1,2,1],[1,1,2,1],[1,3,1],[
1,1,1,1,1],[1,1,1,1,1],[1,2,1,1],[1,1,2,1],[1,1,1,1,1],[1,1],[1,1,1,1],[1,1,1,
1],[1,3,1,1],[1,3,1,1],[1,1,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,1,1],[1,3,
1,1],[1,1,1,1],[1,1,1,1],[1,1,2,1,1,1,1],[1,1,1,2,1],[1,1,1,2,1],[1,1,6,3,4,
1],[1,1,3,1],[1,1,1,1,1,1],[1,1,3,1],[1,1,2,1,1,1,1],[1,1,2,1,2,1],[1,1,1,1],[
1,1,4,2,1,1],[1,1,3,1],[1,1,1,1],[1,1,3,1],[1,1,2,2,1,1,1,1],[1,1,2,1,2,1],[1,
1,4,1,2,1],[1,1,1,2,1],[1,1,2,4,1,2,4,1],[1,1,2,1,1,1,1],[1,1,2,4,1,2,4,1],[1,
1,2,4,1,2,4,1],[1,1,2,4,1,2,4,1],[1,1,4,1,2,1],[1,1,2,1,2,1],[1,3,4,1,6,1],[1,
1,3,1],[1,3,4,1,6,1],[1,1,6,3,4,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,
1],[1,1,4,2,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,3,1,1,1,
1],[1,1,4,2,1,1],[1,1,2,1,1],[1,1,2,1,1,1,1],[1,3,1,1,1,1],[1,1,2,1,1],[1,1,2,
2,1,1,1,1],[1,1,2,1,2,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,
2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,1,1,2,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,4,1,2,1],[
1,1,4,2,1,1],[1,1,4,2,2,1,4,1],[1,1,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,1,4,1,2,1],[1,1,1,2,1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,
1],[1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,1,1,1,1],[1,1,1,1],[1,1,2,2,2,1,1,
1,4,1],[1,1,1,2,1],[1,1,4,1,2,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,1,1,
1,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,1,2,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1],[
1,1,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,
2,1,1,1,4,1],[1,3,4,1,2,4,1],[1,1,2,2,1,1,1,1],[1,1,4,1,2,1],[1,1,2,1,1,1,1],[
1,1,1,1],[1,1,2,1,1,1,1],[1,1,4,2,1,1],[1,1,2,4,1,2,4,1],[1,1,1,1],[1,1,1,1],[
1,1,2,2,1,1,1,1],[1,1,1,1],[1,3,4,1,2,4,1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,
1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,4,1],[1,1,2,2,2,1,1,1,4,1],[1,1,4,
1,2,1],[1,1,2,2,2,1,1,1,4,1],[1,1,2,2,1,1,1,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,
1],[1,1,2,2,2,1,1,1,4,1],[1,3,2,1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,2,2,2,1,1,1,4,
1],[1,1,1,1],[1,1,2,2,1,1,1,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,4,1,2,1],[1,1,
2,2,1,1,1,1],[1,1,3,3,1,3,3,1],[1,1,3,3,1,3,3,1],[1,2,2,1],[1,1,1,1],[1,5,1,
1],[1,1,1,3,1,1],[1,1,1,1,1,1],[1,1,1,3,1,1],[1,1,2,1,1,1,2,1],[1,1,6,1,3,1,2,
1],[1,1,6,1,3,1,2,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,1,6,1,3,1,
2,1],[1,1,1,1,1,1],[1,1,1,1,1,1],[1,3,4,1,1],[1,1,6,1,3,1,2,1],[1,1,1,3,1,1],[
1,1,1,1,1,1],[1,1,6,1,3,1,1,1,1],[1,1,2,1,1,1,2,1],[1,1,2,1,1,1,2,1],[1,1,1,3,
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],[1,1,6,
1,3,1,1,1,1],[1,1,3,3,1,3,1,1,1,1],[1,1,2,1,6,4,3,1],[1,1,6,8,3,4,4,24,1,6,8,
1],[1,1,6,8,3,4,4,24,1,6,8,1],[1,1,2,1,1,1,2,2,1,1,1,2,2,1],[1,1,6,1,3,3,4,3,
1,3,1],[1,1,6,1,3,3,3,1,3,1],[1,1,2,1,3,3,1,3,3,1],[1,1,2,1,6,3,4,1],[1,1,2,1,
2,4,1,2,4,1],[1,1,2,1,2,2,2,1,2,1],[1,1,2,1,2,4,1,2,1],[1,1,2,8,1,1,1,4,8,1,2,
2,2,1],[1,1,2,8,1,2,4,8,1,2,4,1],[1,1,10,5,2,8,2,1,4,1],[1,1,2,3,1,3,1,3,3,
1],[1,1,3,2,1,1,1,1],[1,1,2,3,1,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,3,1,3,3,3,
1],[1,1,2,1,1,1,1,1,1,1],[1,1,6,1,3,3,1,3,3,1],[1,1,4,2,1,2,1,1,1,1],[1,1,3,2,
1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,6,3,4,1,3,3,1],[1,1,2,3,1,3,1,3,3,1],[1,1,
2,3,1,3,1,3,3,1],[1,1,2,4,4,4,1,2,2,2,4,4,4,16,1,1,1,4,8,1],[1,1,6,4,3,4,2,2,
4,1,1,1,4,1],[1,1,2,8,1,2,4,8,2,1,4,1],[1,1,2,1,1,1,4,1,2,1],[1,1,2,1,1,1,1,1,
2,1,1,1,1],[1,1,2,1,1,1,4,2,1,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,1],[1,1,2,4,1,
1,1,2,2,4,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,1],[1,1,2,8,1,4,2,8,2,1,
4,1],[1,1,6,3,4,4,1,2,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,4,1],[1,1,2,4,1,2,2,2,1,
1,1,2,2,1],[1,1,2,8,1,4,2,8,1,2,4,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,4,1],[1,1,2,
4,4,1,1,1,2,2,4,4,1,1,1,2,2,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,4,1],[1,1,2,1,2,4,
1,2,1],[1,1,2,1,2,1,2,1],[1,1,2,8,1,1,1,4,8,1,2,2,2,1],[1,1,2,4,1,2,1,1,2,4,1,
1,1,2,2,1],[1,1,2,1,2,4,1,2,4,1],[1,1,2,1,1,1,4,1,2,1],[1,1,2,4,4,1,1,1,2,2,4,
4,1,1,1,2,2,1],[1,1,2,4,4,1,1,1,2,2,4,4,1,2,1,1,2,1],[1,1,2,8,1,4,2,8,1,2,4,
1],[1,1,2,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,1,2,4,1,2,1],[1,1,2,8,1,2,4,8,1,2,4,
1],[1,1,6,3,4,1,1,2,1,1,1,2,2,1],[1,1,2,1,2,2,2,2,1,1],[1,1,2,1,2,4,1,2,1],[1,
1,2,1,2,1,2,1],[1,1,2,1,2,4,1,2,4,1],[1,1,6,8,3,4,4,8,16,1,2,4,4,4,1],[1,1,2,
1,2,4,2,1,1],[1,1,2,4,4,4,1,2,2,2,4,4,4,16,1,1,1,4,8,1],[1,1,6,4,3,1,1,4,2,4,
1,1,1,2,2,1],[1,1,2,8,1,4,2,8,2,1,4,1],[1,1,6,1,3,3,4,1,3,3,1],[1,1,6,1,3,3,1,
3,3,1],[1,1,2,6,6,1,3,3,4,12,12,1,3,3,8,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,3,1,3,
1,3,3,1],[1,1,2,6,6,1,3,3,4,12,12,1,3,3,8,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,1,3,
3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[1,1,6,3,1,3,1,3,3,1],[1,1,6,1,3,3,1,3,3,1],[
1,1,2,4,4,1,2,2,2,4,4,1,1,1,4,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,2,4,4,1,2,2,
2,4,4,1,1,1,4,1],[1,1,2,4,1,1,2,3,1,1,1,2,2,1],[1,1,2,4,1,2,4,4,1,2,1],[1,1,2,
4,1,2,2,4,2,1,1,1,1],[1,1,10,1,1,5,8,2,2,1,1,1,1],[1,1,2,1,1,1,1,1,2,1,1,1,
1],[1,1,2,4,4,1,2,2,4,2,4,1,1,1,4,1],[1,1,2,4,1,2,1,1,2,4,1,1,1,2,2,1],[1,1,2,
4,4,4,1,2,2,2,4,4,4,16,1,1,1,4,4,4,1],[1,3,4,1,3,1,2,1,1,1,2,2,1],[1,1,2,4,4,
1,1,2,1,2,8,1,1,1,2,2,1],[1,1,2,1,2,1,2,1],[1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,2,4,1,2,1,1,2,2,1,1,1,2,1],[1,1,2,1,2,2,1,1,2,1,1,1,2,1],[1,1,2,4,
1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,8,2,1,4,1,1,8,2,1,1,1,2,1],[1,1,2,4,2,1,1,1,
2,1,1,1,2,2,1],[1,3,1,1,2,3,1,2,1],[1,1,2,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,6,4,1,1,3,2,8,1,1,1,2,2,1],[1,1,2,4,1,2,2,4,2,1,1,1,1],[1,1,2,4,1,2,1,1,4,2,
1,1,1,2,2,1],[1,1,2,4,1,1,2,3,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,2,
4,1,4,2,1,1,1,2,2,1],[1,1,2,4,1,1,2,3,1,1,1,2,2,1],[1,3,1,1,1,1,2,1],[1,1,2,1,
3,1,2,1,1,2,1,2,1],[1,1,6,1,1,3,2,1,2,1,1,2,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,4,
1],[1,3,4,1,1,2,1,2,1,1,1,2,2,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,6,4,3,4,1,1,2,4,
1,1,1,2,2,1],[1,1,2,1,2,1,1,2,1,1,1,1],[1,1,6,4,3,2,4,2,4,1,1,1,4,1],[1,1,2,4,
2,1,1,1,2,1,1,1,2,2,1],[1,1,2,4,1,4,2,1,1,1,2,2,1],[1,1,2,4,4,1,2,1,1,2,4,4,1,
1,1,2,2,1],[1,1,6,3,4,2,2,1,1,1,1],[1,1,4,2,1,2,2,1,1,1,2,1,1,2,1],[1,1,2,4,4,
1,1,2,1,2,8,1,1,1,2,2,1],[1,1,2,4,4,1,1,2,1,2,8,1,1,1,2,2,1],[1,1,2,4,4,1,1,2,
1,2,8,1,1,1,2,2,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,2,
1,2,1,1,1,1],[1,1,6,4,1,1,3,2,8,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,
2,4,1,1,1,2,2,4,1,1,1,2,2,1],[1,1,4,3,2,1,1,1,1],[1,1,2,1,2,1,2,1],[1,1,4,3,2,
1,1,1,1],[1,1,2,1,1,1,1,2,1],[1,1,2,4,1,1,2,3,1,1,1,2,2,1],[1,1,6,4,3,2,4,4,2,
1,1,1,4,1],[1,1,2,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,1,2,1,2,1],[1,1,2,2,2,1,2,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,2,1,2,1,2,1],[1,1,2,4,1,2,1,1,2,1,1,1,2,2,1],[1,1,2,
4,1,2,2,4,2,1,1,1,1],[1,1,2,8,1,2,4,8,1,2,2,2,1],[1,1,2,4,1,2,2,4,2,1,1,1,1],[
1,1,2,4,4,1,2,2,1,1,4,4,1,1,1,2,2,1],[1,1,2,1,2,1,2,1],[1,1,2,4,1,1,1,2,4,2,1,
1,1,2,2,1],[1,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,1,1,2,1,
2,1],[1,1,2,1,1,1,4,1,2,1],[1,1,2,8,1,1,1,4,8,1,2,2,2,1],[1,1,4,2,1,2,2,1,1,2,
1,1,1,2,1],[1,1,2,4,4,1,2,2,4,2,4,1,1,1,4,1],[1,1,2,4,1,1,1,2,2,1,1,2,1,2,1],[
1,1,6,1,1,3,2,1,1,2,1,2,1],[1,1,2,4,4,1,2,1,1,2,4,4,1,1,1,2,2,1],[1,1,2,4,1,2,
2,2,1,1,2,1,2,1],[1,1,2,4,4,1,2,2,4,2,4,1,1,1,4,1],[1,1,2,4,1,2,1,1,2,1,1,1,2,
2,1],[1,1,2,4,1,1,2,1,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,4,1,1,1,1],[1,1,2,1,1,1,
2,2,1,1,1,1],[1,1,2,1,2,1,2,1],[1,1,2,4,1,2,2,4,2,1,1,1,1],[1,3,1,1,1,1,2,1],[
1,1,2,1,5,1,1,1,1,2,2,1],[1,1,2,4,1,2,2,4,2,1,1,1,1],[1,1,2,1,3,1,2,1,1,2,1,2,
1],[1,3,4,1,1,1,2,2,1,1,2,1,2,1],[1,1,2,1,1,1,1,1,1,1],[1,3,8,1,1,1,4,8,1,2,2,
2,1],[1,1,2,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,8,1,4,1,
1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,3,4,4,1,1,1,2,6,4,1,1,1,
2,2,1],[1,1,2,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,2,1,
1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,2,4,1,2,1,1,2,8,2,
1,1,1,2,1],[1,1,2,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,2,1,2,8,2,1,
1,1,2,1],[1,1,4,4,2,1,2,2,1,1,8,2,1,1,1,2,1],[1,1,2,8,1,1,1,4,8,1,2,2,2,1],[1,
3,8,1,1,1,4,8,1,2,2,2,1],[1,1,2,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,
1,1,1,1],[1,1,2,4,4,1,1,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,4,4,2,2,1,1,1,1,1],[1,
1,2,4,4,1,1,2,1,2,8,2,1,1,1,2,1],[1,1,2,6,2,1,1,3,1,1,4,4,1,1,1,1,1,1,1,1],[1,
1,4,2,2,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,3,1,1,1,1],[1,3,4,4,1,1,1,6,2,
4,1,1,2,1,2,1],[1,1,2,2,4,2,1,1,1,2,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,
1,1],[1,1,4,3,2,1,1,1,1],[1,3,8,1,1,1,4,8,1,2,2,2,1],[1,1,4,2,2,1,1,1,1,1],[1,
1,4,2,3,1,1,1,1],[1,1,4,2,3,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,4,2,1,2,1,
1,1,1],[1,1,4,4,2,2,1,1,1,1,1],[1,1,4,2,3,1,1,1,1],[1,1,2,2,2,1,2,1,1,1,1,1,1,
1,1,1,1,1,1],[1,3,8,1,1,1,4,8,1,2,2,2,1],[1,1,4,2,3,1,1,1,1],[1,1,4,2,2,1,1,1,
1,1],[1,1,4,1,2,2,1,1,1,1],[1,3,4,1,1,1,2,2,1,1,2,1,2,1],[1,1,4,4,2,1,2,1,1,1,
1],[1,1,8,1,4,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,8,1,4,1,1,1,1],[1,1,4,2,1,2,1,
1,1,1],[1,1,2,2,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,1,1,1,2,6,4,1,1,2,1,2,
1],[1,1,4,2,2,1,1,1,1,1],[1,1,4,2,4,1,2,1,1,2,8,1,2,1,1,2,1],[1,3,4,1,1,2,1,2,
1,1,1,1,1,1,1,1],[1,3,4,1,1,1,2,2,1,2,1,1,2,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,3,
2,1,1,1,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,2,1,1,1,1,2,1],[1,1,4,4,2,2,1,1,1,1,
1],[1,1,4,4,2,2,1,1,1,1,1],[1,1,2,8,1,4,2,8,1,2,2,2,1],[1,1,2,2,4,2,1,1,1,2,1,
1,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,1,2,2,6,1,
1,1,1,3,4,4,1,1,1,1,1,1,1,1],[1,1,4,4,2,1,2,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,
1,2,4,4,1,1,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,6,2,1,3,2,1,4,4,1,1,1,1,1,2,1],[
1,1,2,6,2,1,1,3,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,4,2,2,1,
1,2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,2,2,1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1],[
1,1,2,8,1,2,4,4,4,1,1,1,1,1,2,1],[1,1,2,4,4,1,1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,
1,4,4,1,2,2,1,1,1,1],[1,1,2,6,2,1,3,2,1,4,4,1,1,1,1,2,1,1],[1,1,4,4,2,1,2,1,1,
1,1],[1,3,4,4,1,1,1,6,2,4,1,1,2,1,2,1],[1,1,4,2,3,1,1,1,1],[1,1,2,4,4,1,1,2,1,
2,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,
1,1,1],[1,3,1,1,1,1,2,1],[1,1,2,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,1,
1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,3,1,1,1,1,2,1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,
6,2,1,1,3,8,1,1,2,1,2,1],[1,1,4,3,2,1,1,1,1],[1,3,4,1,1,1,2,2,1,1,2,1,2,1],[1,
1,4,2,1,2,1,1,1,1],[1,1,2,1,2,1,1,1,1],[1,1,2,3,1,1,1,1],[1,1,4,2,1,1,1,2,1,1,
4,1,1,1,1,1,1,1,1],[1,1,2,2,2,2,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,2,2,6,1,1,1,1,3,
4,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,1,1,
1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,8,1,4,1,1,1,1],[1,
1,4,6,2,1,1,3,8,1,1,2,1,2,1],[1,1,4,3,2,1,1,1,1],[1,1,4,2,3,1,1,1,1],[1,1,2,2,
2,1,1,1,1,2,1,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,2,4,2,2,1,1,2,1,1,
1,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,1,1],[1,1,4,2,1,1,1,2,1,1,1,1,1,1,1,1,
1,1],[1,1,2,4,2,2,1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,5,1,1,1,1],[1,1,2,1,1,
1,1,1,1,1],[1,1,2,2,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,6,1,3,3,1,1,1,1,1,2,
1],[1,1,2,2,2,1,1,1,1,2,1,4,1,1,1,1,1,1,1,1],[1,1,5,1,1,1,1],[1,1,2,2,2,2,1,1,
2,1,1,1,1,1,1,1,1,1],[1,1,4,2,1,2,1,1,1,1],[1,1,4,4,2,1,2,2,1,1,8,2,1,1,1,2,
1],[1,3,1,1,1,1,1,1,1],[1,1,2,4,4,1,1,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,
1,1,2,1,1,1,1,1,1,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,3,
4,2,2,1,1,6,1,1,1,4,1,1,1,1,1,1,1,1],[1,3,4,2,2,1,1,6,1,1,1,4,1,1,1,1,1,1,1,
1],[1,3,2,4,2,1,1,1,1,6,1,4,1,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,4,4,1,
2,2,1,1,1,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,2,
1,1,1,1,1,1,1,1,1,1],[1,1,2,4,2,2,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,
1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,4,1,2,2,1,1,1,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,
4,1,1,1,1,1,1,1,1],[1,1,4,2,2,2,1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,4,4,1,2,
2,1,1,1,1],[1,1,2,4,2,2,1,1,1,1,2,1,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,4,1,1,1,1,
1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[1,1,4,4,1,2,
2,1,1,1,1],[1,1,4,3,2,1,1,1,1],[1,3,2,4,2,1,1,1,1,6,1,4,1,1,1,1,1,1,1,1],[1,1,
4,1,2,2,1,1,1,1],[1,3,2,4,2,1,1,1,2,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,4,2,2,2,1,1,
2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,3,2,4,2,1,1,2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,
4,1,2,2,1,1,1,1],[1,1,2,2,2,4,1,1,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,3,2,4,2,1,1,
2,1,1,1,4,4,1,1,1,1,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,3,2,4,2,1,1,1,2,1,1,4,
4,1,1,1,1,1,1,1,1],[1,1,4,4,1,2,2,1,1,1,1],[1,9,2,2,6,6,1,1],[1,9,2,2,6,6,1,
1],[1,1,2,2,2,2,1,1],[1,3,2,2,1,3,1,1],[1,3,2,2,1,3,1,1],[1,1,5,1,1,1],[1,1,
10,5,1,1,2,1],[1,1,1,1,1,1],[1,1,4,3,4,1,1],[1,1,1,3,1,1,3,1],[1,1,1,1,3,3,1,
3,1,1,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,1,4,3,4,1,1],[1,3,6,4,1,3,3,4,3,
1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,2,6,1,1,3,
3,1,2,2,3,1,1,1,1],[1,1,2,1,1,1,1,1,2,1,1,1,1,1],[1,1,1,1,1,1,1,1],[1,1,12,1,
1,6,1,4,3,2,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,1,6,1,
1,3,3,1,2,3,1,1,1,1],[1,1,4,3,4,1,1],[1,1,1,1,1,1,1,1],[1,1,4,3,4,1,1],[1,1,1,
1,1,3,1,1],[1,1,12,1,1,6,1,4,3,2,1,1],[1,1,4,1,2,1,1,4,1,2,1,1],[1,1,12,1,1,6,
1,2,2,3,1,1,1,1],[1,1,1,1,2,1,1,1,2,1],[1,1,12,1,1,6,1,4,3,1,2,1],[1,1,1,1,1,
3,1,1],[1,1,1,1,2,1,1,1,2,1],[1,1,1,1,6,1,3,1,2,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,
1,1,1],[1,1,6,4,3,4,4,1,1,1],[1,1,2,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,3,6,4,1,3,3,
4,3,1,1],[1,3,4,4,1,6,4,1,1,1],[1,3,4,4,1,6,4,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,
1,1,1,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,1,2,1,
1,1,1,1,2,1,1,1,1,1],[1,1,2,12,1,1,6,12,1,2,2,2,3,1,1,1,4,1],[1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,1,6,1,1,3,3,1,2,3,1,1,1,1],[1,1,6,1,
3,1,3,1,2,3,1,1,1,1],[1,1,6,6,1,1,3,3,1,2,2,3,1,1,1,1],[1,1,1,4,3,1,3,1,1,1,
1],[1,3,6,4,1,3,3,4,3,1,1],[1,1,1,4,3,1,3,1,1,1,1],[1,1,8,1,4,3,1,2,2,3,1,1,1,
1],[1,1,8,1,4,3,1,2,2,3,1,1,1,1],[1,1,6,1,1,3,3,1,1,1,3,1,1,1,1],[1,1,3,3,4,1,
3,3,4,1,1,1],[1,1,6,2,6,1,3,1,3,12,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,3,3,4,1,3,3,
4,1,1,1],[1,1,2,6,6,1,1,3,3,12,1,2,1,1,2,3,1,1,1,2,2,1],[1,1,2,2,1,1,1,1,1,2,
2,1,1,1,1,1],[1,1,10,5,10,10,15,10,5,10,1],[1,1,18,9,6,24,6,2,9,18,9,6,1],[1,
1,14,1,7,7,12,7,3,4,9,12,1,3,4,3,4,1],[1,1,6,8,8,1,3,3,4,4,4,24,24,3,1,3,4,6,
6,8,8,12,1,1,1,6,6,1],[1,1,2,12,1,6,1,1,6,12,4,1,3,3,6,6,12,1,3,3,4,4,1],[1,1,
2,12,1,1,1,6,6,12,1,3,3,4,6,6,12,1,3,3,4,4,1],[1,1,2,1,1,1,3,3,6,1,1,3,3,3,1,
3,3,1],[1,1,2,12,1,1,1,6,6,12,1,3,3,4,6,6,12,1,3,3,4,4,1],[1,1,2,12,1,1,1,6,6,
12,1,3,3,4,6,6,12,1,3,3,4,4,1],[1,1,2,1,6,2,2,4,4,3,2,2,4,1,1,1,4,1],[1,1,6,8,
1,3,3,4,4,4,8,3,1,3,2,2,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,6,8,1,3,3,2,2,4,4,8,3,
1,1,1,2,2,3,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,8,1,2,4,4,4,2,1,2,2,4,4,4,
4,4,8,1,2,4,4,4,1],[1,1,6,1,3,3,4,2,2,4,3,1,3,2,2,4,4,1,1,1,2,2,1],[1,1,2,1,2,
4,1,4,2,4,1,2,1],[1,1,2,8,1,2,4,4,4,2,1,2,2,4,4,4,4,4,8,1,2,4,4,4,1],[1,1,6,
16,1,3,3,4,8,16,32,3,1,3,4,4,4,8,8,8,8,1,2,2,2,4,4,1],[1,1,10,8,5,2,8,2,2,4,8,
2,1,4,2,2,4,8,8,1,1,1,4,1],[1,1,2,1,2,4,1,4,2,4,1,2,1],[1,1,2,8,1,6,4,4,8,4,3,
2,2,4,1,1,1,4,1],[1,1,6,1,3,3,4,8,3,1,3,4,1,2,2,2,1],[1,1,10,5,2,8,4,4,2,1,4,
2,2,4,1,1,1,4,1],[1,1,6,12,3,4,2,6,24,1,1,3,3,3,6,6,6,6,1,3,2,3,6,1],[1,1,6,
12,3,4,6,6,12,8,1,1,1,3,3,2,3,3,6,12,3,3,3,6,1],[1,1,2,1,1,1,3,3,6,1,1,3,3,3,
1,3,3,1],[1,1,6,3,4,1,3,1,3,3,1,3,3,1],[1,1,6,12,3,4,2,6,24,1,1,3,3,3,6,6,6,6,
1,3,2,3,6,1],[1,1,6,3,4,3,3,6,1,3,3,6,6,1,3,3,1],[1,1,6,3,4,1,3,3,3,1,1,3,3,
1],[1,1,2,2,6,1,3,3,1,1,3,3,3,1,1,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,2,2,
6,1,3,3,1,1,3,3,3,1,1,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,6,1,3,3,2,2,3,1,
1,1,2,2,1,3,1,1,1,1,1,1,1,1,1],[1,1,6,8,8,3,4,4,1,1,4,2,24,8,16,1,1,2,1,6,8,2,
2,4,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,2,1,2,4,4,4,1,1,3,4,2,1,1,1,2,2,1],[1,1,2,
8,8,1,1,1,4,4,1,1,2,8,8,1,4,1,1,2,2,4,4,4,4,4,1,1,2,1,2,1],[1,1,2,4,1,6,2,2,1,
4,3,2,1,2,2,1,2,1,1,2,1],[1,1,2,8,1,1,1,1,1,4,2,8,4,1,1,2,2,1,2,2,4,4,1,1,1,2,
2,1],[1,1,2,8,4,4,1,4,2,2,2,2,2,8,4,4,1,2,1,2,1,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,
10,4,4,5,2,2,2,8,4,4,4,2,1,4,1,1,4,2,8,8,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,8,1,
2,2,2,4,4,1,1,1,2,2,1],[1,1,2,1,6,4,3,4,1,2,1],[1,1,2,4,1,2,2,2,2,2,1,1,2,1,2,
2,2,1,1,1,1],[1,1,2,8,1,2,8,4,1,2,2,2,2,2,4,6,2,8,4,1,2,2,2,4,4,1],[1,1,2,1,2,
4,1,2,4,4,1,2,1],[1,1,2,8,4,8,1,1,1,4,2,2,4,8,4,8,32,1,1,2,2,1,2,4,4,2,4,4,8,
8,8,1,1,2,1,2,4,4,1],[1,1,2,4,8,8,1,1,1,2,4,2,4,4,8,8,32,1,2,1,2,1,4,4,2,2,4,
4,8,8,8,1,1,1,2,2,4,4,1],[1,1,2,4,8,4,1,2,4,2,2,2,2,4,4,8,1,2,2,1,1,4,4,4,4,4,
4,1,1,1,2,2,1],[1,1,2,1,2,4,1,2,4,4,1,2,1],[1,1,2,4,1,2,1,1,2,4,4,4,1,1,2,1,2,
2,2,1,1,1,2,2,1],[1,1,2,4,4,4,8,1,2,1,1,2,2,2,4,4,4,4,8,16,16,1,1,1,1,1,2,4,2,
2,2,4,2,2,2,4,4,8,8,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,1,6,2,2,1,4,3,2,1,2,2,1,2,1,
1,2,1],[1,1,2,16,1,2,2,2,8,16,1,4,2,4,4,8,8,1,2,4,1],[1,1,6,8,4,4,3,1,1,4,4,2,
2,2,4,24,4,16,1,1,1,6,1,1,8,2,2,2,2,2,2,4,4,4,8,1,1,1,1,1,1,1,4,4,1],[1,1,6,8,
8,3,4,4,1,1,4,2,8,24,16,1,1,2,1,6,8,2,2,4,4,4,4,4,8,1,1,1,2,2,4,4,1],[1,1,2,8,
8,1,2,4,4,8,4,8,1,2,2,4,2,4,8,8,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,8,1,2,2,2,4,4,
1,1,1,2,2,1],[1,1,2,4,1,2,2,2,2,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,1,1,1,1,1,2,8,
1,1,1,4,4,4,1,1,2,1,2,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,1,1,1,2,2,2,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,4,3,4,4,2,2,4,8,4,
1,2,1,1,2,4,4,8,8,1,1,1,2,2,1],[1,1,2,4,4,4,1,2,1,1,2,2,2,4,4,4,4,1,1,1,1,1,2,
2,2,2,4,2,2,4,2,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,4,8,1,2,2,2,4,4,4,8,4,1,2,2,
1,1,4,4,8,8,1,1,1,2,2,1],[1,1,6,8,3,4,4,1,1,2,4,8,1,1,1,2,2,2,2,4,4,4,4,8,1,1,
1,2,2,4,4,1],[1,1,2,1,2,4,1,2,4,4,1,2,1],[1,1,2,4,1,2,2,2,4,1,1,2,2,1,2,2,1,1,
1,1],[1,1,2,4,1,1,1,2,2,2,2,4,4,1,2,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,
4,8,4,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,2,2,2,4,4,8,16,1,1,1,2,2,4,2,2,2,
2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,10,12,5,2,1,1,8,6,12,32,2,1,1,4,3,2,2,4,4,8,
4,8,8,1,1,1,2,2,4,4,1],[1,1,10,8,5,2,4,8,4,24,2,1,4,6,8,2,8,1,1,1,2,2,1],[1,1,
2,1,2,2,2,1,2,2,2,1,2,1],[1,1,2,1,2,2,2,8,1,2,4,4,4,1,1,2,1,2,1],[1,1,6,3,4,1,
1,4,6,1,3,1,2,2,2,1,1,1,2,2,1],[1,1,2,12,4,1,6,2,2,4,4,12,2,1,3,1,8,4,4,8,1,2,
1,1,2,1],[1,1,2,1,2,4,1,2,4,4,1,2,1],[1,1,6,12,3,4,2,2,2,6,12,1,2,3,1,4,4,4,4,
4,4,1,1,2,1,2,1],[1,1,2,4,4,1,6,2,2,4,4,4,4,3,1,1,4,2,1,1,1,2,2,1],[1,1,2,4,4,
8,4,1,1,1,2,2,4,2,2,4,8,4,4,16,16,1,2,2,2,1,1,1,2,1,2,2,2,4,4,4,4,8,8,1,1,1,1,
1,1,1,4,4,1],[1,1,2,8,1,2,4,4,8,4,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,8,
4,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,4,1,1,2,2,1,2,2,1,1,1,1],[1,1,2,8,
1,2,4,8,1,2,4,4,1,2,1],[1,1,2,4,4,8,1,2,2,2,4,4,4,4,8,1,1,2,1,2,4,4,8,8,1,1,1,
2,2,1],[1,1,10,5,2,8,2,1,4,4,1,2,1],[1,1,2,1,2,4,1,2,2,2,1,2,1],[1,1,2,1,2,4,
1,2,4,4,1,2,1],[1,1,2,8,1,2,4,4,4,8,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,10,4,5,2,2,
8,2,1,2,1,4,2,1,2,2,1,2,1,1,2,1],[1,1,2,4,1,1,1,2,2,2,4,2,4,1,2,2,1,1,2,2,4,4,
2,1,1,1,2,1],[1,1,6,8,3,4,4,1,1,2,8,4,1,1,1,2,2,2,2,4,4,4,4,8,1,1,1,2,2,4,4,
1],[1,1,2,4,4,8,1,2,2,2,4,4,4,4,8,1,1,2,1,2,4,4,8,8,1,1,1,2,2,1],[1,1,2,4,1,1,
1,2,2,8,4,1,1,1,4,2,2,1,2,1,1,2,1],[1,1,2,16,1,2,4,8,8,16,1,2,4,6,4,4,2,4,4,4,
1,4,2,4,4,1],[1,1,2,8,1,2,4,8,1,2,2,2,4,1,1,1,1],[1,1,2,16,1,2,8,4,16,1,2,4,4,
4,8,8,1,2,4,1],[1,1,2,4,4,1,2,2,6,4,4,4,1,1,3,4,2,4,1,1,1,2,2,1],[1,1,6,8,4,3,
4,4,2,2,8,4,4,1,2,1,1,2,4,4,8,8,1,1,1,2,2,1],[1,1,6,1,3,3,4,3,1,3,4,1,2,2,2,
1],[1,1,2,8,1,2,2,2,4,4,8,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,6,8,3,4,3,3,2,4,8,
1,1,1,3,3,2,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,4,4,8,1,2,2,2,2,2,4,4,8,
4,1,2,2,1,1,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,6,4,3,4,6,4,2,4,1,2,1,3,4,4,1,1,1,2,
2,1],[1,1,6,8,4,4,3,1,1,4,4,2,2,2,24,4,4,16,1,1,1,6,1,1,8,2,2,2,2,2,2,4,4,4,8,
1,1,1,1,1,1,1,4,4,1],[1,1,2,4,4,1,2,2,6,4,4,4,1,1,3,4,2,4,1,1,1,2,2,1],[1,1,2,
4,1,1,1,2,2,2,2,4,4,1,2,1,1,2,2,2,4,4,1,1,1,2,2,1],[1,1,10,8,5,2,4,8,24,4,2,1,
4,6,8,2,8,1,1,1,2,2,1],[1,1,2,4,1,1,1,2,2,4,4,4,1,2,1,1,2,2,2,1,1,1,2,2,1],[1,
1,2,4,1,2,1,1,2,2,2,4,4,1,1,1,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,2,1,1,1,2,2,1,1,2,
4,1,1,1,2,2,1,1,2,1,1,1,2,2,1],[1,1,2,8,8,4,1,1,1,4,4,2,2,8,8,4,32,1,4,2,2,1,
1,4,2,2,4,4,8,8,8,1,1,2,1,2,4,4,1],[1,1,6,1,3,3,4,3,1,3,2,2,1,2,1,1,2,1],[1,1,
10,4,5,2,2,8,2,1,2,1,2,4,1,2,2,1,2,1,1,2,1],[1,1,2,4,1,1,1,2,2,4,4,4,1,2,1,1,
2,2,2,1,1,1,2,2,1],[1,1,2,12,4,1,6,2,2,4,12,4,2,1,3,1,4,8,4,8,1,2,1,1,2,1],[1,
1,2,8,1,1,1,1,1,4,2,4,8,1,1,1,2,2,2,4,4,2,1,1,2,1,2,1],[1,1,6,6,6,1,1,1,3,3,3,
3,24,1,3,1,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,6,12,1,3,3,1,1,6,24,3,1,1,
3,3,3,3,3,3,6,6,1,1,1,3,3,3,3,1],[1,1,2,2,12,6,1,1,1,6,3,3,4,12,12,24,1,3,1,3,
3,3,6,3,3,3,3,3,8,8,1,1,1,3,3,3,3,1],[1,3,4,12,1,3,3,6,6,12,1,3,3,6,6,6,6,1,3,
3,1],[1,3,4,12,1,3,3,6,6,12,1,3,6,3,6,6,6,1,3,3,1],[1,1,6,6,6,1,2,3,3,3,3,24,
1,1,3,3,3,3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,6,6,6,1,2,3,3,3,3,24,1,1,3,3,3,
3,3,3,3,3,3,6,1,1,1,3,3,3,3,1],[1,1,6,6,6,1,1,1,3,3,3,3,24,1,3,1,3,3,3,3,3,3,
3,3,6,1,1,1,3,3,3,3,1],[1,1,2,4,1,2,2,2,1,1,1,1,1,2,2,2,1,1,1,2,2,1],[1,1,6,4,
4,4,3,2,2,4,2,2,4,4,4,4,16,1,1,1,1,1,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,
1,1,1,1,2,1,1,1,4,1,2,1],[1,1,2,2,4,10,1,2,2,1,1,2,1,5,8,8,8,1,2,2,2,2,1,1,1,
1,1,1,2,1,1,1,1,2,4,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,1,2,2,6,3,4,1,1,2,
2,2,1,1,1,2,2,1],[1,1,2,12,1,2,2,6,8,1,1,3,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,3,4,
2,2,1,3,3,2,2,1,1,1,1],[1,1,6,8,3,4,4,8,1,3,3,2,2,2,2,1,1,2,2,1,1],[1,1,2,2,4,
10,1,2,2,1,1,2,1,5,8,8,8,1,2,2,1,1,2,1,1,1,1,2,1,1,1,1,2,2,2,2,4,4,1,1,1,1,1,
1,1,2,2,2,2,1],[1,1,2,12,1,2,2,6,8,1,1,3,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,8,
1,1,1,2,2,1,1,4,4,2,4,8,1,1,1,1,2,2,2,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,
2,4,4,4,1,2,1,1,2,2,2,2,4,2,4,4,1,1,1,1,1,1,2,2,2,1,2,4,4,1,1,1,1,1,1,1,1],[1,
1,2,4,4,1,2,2,2,4,4,4,4,2,1,1,1,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,2,1,1,
1,4,1,2,1],[1,1,6,4,4,3,1,1,2,4,2,2,2,4,2,4,1,1,1,1,1,1,2,2,1,2,2,4,4,1,1,1,1,
1,1,1,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,4,1,2,2,4,
4,2,4,4,8,8,1,1,1,1,2,1,2,2,2,1,1,2,4,2,6,2,2,2,1,2,1,1,2,2,2,2,2,1],[1,1,2,4,
4,4,1,1,3,2,2,4,2,4,8,1,1,1,1,2,1,2,4,3,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,
2,2,1],[1,1,6,4,8,3,2,4,4,2,2,8,2,4,16,1,1,2,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,
1],[1,1,2,8,4,1,4,1,1,2,4,4,2,8,2,1,1,2,1,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,6,
4,8,4,3,2,4,1,1,4,2,8,2,4,4,16,16,1,2,1,1,1,1,2,2,2,2,2,4,4,4,4,2,4,4,8,1,1,1,
1,1,1,1,4,4,1],[1,1,2,8,4,4,1,2,4,2,2,2,8,2,4,4,16,1,1,1,2,1,4,1,4,4,4,4,4,1,
1,1,1,1,1,1,1],[1,1,2,1,2,1,3,1,2,1,1,1,1],[1,1,2,1,2,1,1,3,2,1,1,1,1],[1,1,2,
4,4,4,8,1,2,2,1,1,2,4,4,4,2,4,8,16,16,1,1,1,1,2,2,1,2,2,2,2,2,4,4,4,4,4,8,4,1,
1,1,1,1,1,1,4,4,1],[1,1,6,16,3,4,1,1,8,2,16,32,1,1,4,1,2,2,8,8,8,4,4,4,4,1,2,
2,2,2,2,2,2,1],[1,1,2,4,1,2,2,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,2,4,8,1,2,
2,2,2,2,1,1,1,1],[1,1,2,4,4,8,1,2,2,2,4,4,4,4,8,16,1,1,2,1,2,4,4,4,8,4,1,1,1,
1,1,1,1,1],[1,1,2,4,8,1,2,2,4,1,1,2,4,2,8,1,1,2,1,1,4,1,2,2,2,2,4,1,1,1,1,1,1,
1,1],[1,1,6,4,4,3,2,2,4,1,1,2,4,4,4,1,1,1,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[
1,1,2,4,1,2,2,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,4,1,2,1,1,2,1,1,2,2,4,2,4,1,
1,1,1,1,1,2,2,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,8,6,1,1,1,1,1,4,3,3,8,8,8,1,
1,1,2,1,1,1,3,3,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,2,8,6,
1,1,1,1,1,4,3,3,8,8,8,1,1,1,2,1,1,1,1,3,1,1,3,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,2,4,8,4,1,2,2,4,4,2,4,4,8,8,1,1,1,1,1,2,2,1,2,2,1,2,4,2,2,6,2,
2,1,1,2,1,2,2,2,2,2,1],[1,1,2,4,4,4,1,2,1,1,2,2,2,4,4,4,4,1,1,1,1,1,2,2,4,2,2,
2,2,2,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,4,4,4,1,2,2,2,2,2,2,4,4,2,4,4,16,1,
1,1,1,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,8,1,2,2,1,1,2,4,4,4,2,4,
8,16,16,1,1,1,1,2,2,1,2,2,4,2,2,2,4,4,8,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,4,
4,1,2,2,3,3,2,4,4,2,4,1,3,1,3,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,
2,2,1],[1,1,2,8,4,1,2,4,2,1,1,2,8,2,4,1,1,1,2,1,4,1,4,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,8,4,1,2,3,1,4,2,2,4,8,1,1,1,1,1,1,2,4,2,2,2,2,1,2,2,2,4,2,2,1,1,1,1,
2,1,1,1,2,2,2,1],[1,1,2,4,8,4,1,2,2,4,4,2,4,4,8,8,1,1,1,1,2,1,1,1,2,2,2,2,2,2,
4,6,2,2,1,2,1,1,2,2,2,2,2,1],[1,1,6,8,4,3,4,4,2,2,8,4,4,16,1,2,1,1,2,4,4,4,4,
4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,2,2,2,2,4,4,4,1,2,1,1,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,2,4,4,1,1,1,2,2,1,1,4,4,2,4,1,1,1,1,2,2,1,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,2,12,1,1,1,6,6,4,8,1,1,1,1,1,2,2,3,6,2,2,3,6,4,1,1,1,2,1,1,1,2,1,
2,2,1],[1,1,2,4,4,1,2,2,2,4,4,1,2,1,1,4,2,1,1,1,1],[1,1,6,4,4,3,2,4,1,1,2,6,4,
4,1,1,1,1,3,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,4,1,3,3,2,2,4,4,4,4,3,1,3,2,
1,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,2,1,1,2,2,2,4,4,4,4,1,1,1,1,1,2,2,
2,2,4,2,2,2,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,4,4,1,3,1,2,2,4,2,4,8,1,1,1,1,
1,3,4,2,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,3,4,4,8,1,3,3,
2,4,2,1,1,1,2,2,1],[1,1,2,1,1,1,1,1,2,1,1,1,2,2,1,2,1],[1,1,6,4,4,4,3,1,1,2,4,
1,1,2,2,4,4,2,4,1,1,1,1,1,1,2,1,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,
4,1,2,1,1,2,2,2,2,4,4,2,4,1,1,1,1,1,1,2,2,1,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,3,
4,1,1,2,1,1,1,2,2,4,1,2,2,2,1],[1,1,2,4,8,1,1,1,2,4,4,6,8,1,1,2,2,3,2,2,2,4,4,
1,2,1,1,1,1,1],[1,1,2,4,4,1,1,1,3,3,2,2,2,1,1,1,3,2,1,1,1,1,1,2,2,2,1,1,2,2,2,
2,2,4,1,2,1,1,1,1,1,1,2,2,2,1],[1,1,2,4,8,4,1,2,2,4,2,2,8,2,4,4,16,1,1,2,1,1,
1,4,4,4,4,8,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,2,2,2,2,4,4,4,1,2,1,1,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,2,4,2,2,8,1,2,2,1,2,1,2,4,1,1,1,2,2,1],[1,1,2,
2,4,2,1,4,1,1,2,5,1,1,1,1,1,2,1,3,5,1,1,3,1,2,4,2,2,2,2,1,1,1,1,2,1,1,1,2,2,2,
1],[1,1,2,4,4,8,1,2,2,2,4,4,4,4,8,16,1,1,2,1,2,4,4,4,4,8,1,1,1,1,1,1,1,1],[1,
1,10,5,2,8,8,2,1,4,4,1,2,1],[1,1,2,4,1,2,2,4,2,1,2,1,2,1,2,2,1,1,1,1],[1,1,2,
4,1,2,2,2,2,2,1,2,1,2,1,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,4,1,1,1,2,2,2,2,1,1,1,
1],[1,1,2,4,1,4,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,8,4,1,4,4,2,8,1,2,1,1,4,2,2,
2,1,1,1,2,2,1],[1,1,2,4,1,2,2,4,2,1,2,1,1,2,2,2,1,1,1,1],[1,1,6,3,4,1,1,2,1,1,
1,2,2,2,2,1,1,1,2,2,1],[1,1,6,4,3,4,2,2,1,1,3,1,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,
1,2,4,1,4,4,2,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,4,4,1,1,1,2,1,1,2,2,4,4,4,1,1,1,1,
1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,1,1,2,6,2,4,1,3,1,1,1,2,2,1,1,1,
1,1,1,1,1],[1,1,2,4,8,4,1,2,2,4,2,2,4,8,2,4,16,1,1,2,1,1,1,4,4,4,8,4,1,1,1,1,
1,1,1,1],[1,1,2,4,1,2,2,2,4,1,2,1,2,2,1,2,1,1,1,1],[1,1,2,8,4,1,1,1,4,2,2,8,4,
4,1,2,2,1,2,1,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,10,8,5,2,8,4,8,2,1,1,4,1,2,2,2,
1,2,2,1,1,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,2,2,
2,2,4,6,4,1,1,1,1,3,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,1,2,2,1,1,4,2,4,8,2,1,2,1,
1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,8,4,1,2,2,4,4,2,4,4,8,8,1,1,1,1,2,
1,1,2,2,1,2,2,2,4,6,2,2,2,1,2,1,1,2,2,2,2,2,1],[1,1,2,4,4,4,1,3,1,2,2,4,2,4,8,
1,1,1,1,1,3,2,1,2,2,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,4,1,4,
1,1,2,4,8,4,2,2,1,1,2,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,12,1,4,6,8,1,2,1,
1,4,2,2,2,1,1,1,2,2,1],[1,1,6,4,3,4,2,2,1,1,3,1,3,1,1,2,2,1,1,1,1,1,1,1,1],[1,
1,2,4,8,1,2,2,2,4,8,2,1,1,2,1,2,2,4,1,1,1,2,2,1],[1,1,2,16,1,1,1,1,1,8,2,16,1,
1,1,4,4,4,4,4,4,4,1,2,2,2,1],[1,1,2,4,4,4,1,1,3,2,2,4,2,4,8,1,1,1,1,1,2,3,1,2,
2,4,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,1,2,2,6,8,1,1,1,2,2,2,
4,2,1,1,1,2,2,1],[1,1,6,8,4,3,2,2,4,4,2,2,8,4,8,1,2,2,1,1,1,4,1,1,1,4,2,2,2,2,
4,2,2,1,2,1,1,2,2,2,2,2,1],[1,1,6,12,3,6,4,2,2,28,2,1,1,7,1,8,1,4,4,4,1,1,1,1,
1,1,1,1],[1,1,2,4,1,8,2,1,3,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,8,4,1,4,4,2,8,1,2,1,
1,4,2,2,2,1,1,1,2,2,1],[1,1,2,4,8,4,4,1,2,4,1,1,2,2,2,4,4,8,4,16,16,1,1,1,2,1,
1,2,4,2,2,4,2,2,2,4,4,4,8,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,1,4,4,2,1,2,1,1,2,2,
2,1,1,1,1],[1,1,2,4,4,1,1,1,2,1,1,2,2,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,2,4,4,8,1,2,2,2,4,4,4,4,8,16,1,1,1,2,4,2,4,4,4,4,4,1,1,1,1,1,1,1,
1],[1,1,2,4,1,6,2,2,4,3,1,2,1,2,2,1,1,1,2,2,1],[1,1,6,4,4,3,2,4,1,1,2,4,6,4,1,
1,1,1,3,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,8,3,4,1,1,4,2,4,8,1,1,1,2,2,4,2,2,
4,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,1,1,2,6,4,1,1,1,1,3,2,2,1,1,1,1,1,1,1,
1],[1,1,6,3,4,4,1,3,3,2,2,1,1,1,1],[1,1,2,4,4,1,2,2,2,2,4,6,4,1,1,1,1,3,4,4,1,
1,1,1,1,1,1,1],[1,1,2,4,4,4,1,2,1,1,2,2,2,4,4,4,4,1,1,1,1,1,2,2,2,2,2,4,4,1,1,
1,1,1,1,1,1],[1,1,2,8,4,4,1,4,2,2,2,2,4,2,8,4,16,1,1,2,1,1,1,4,4,4,4,8,1,1,1,
1,1,1,1,1],[1,1,2,12,4,1,1,1,1,1,6,2,2,8,16,1,1,2,2,3,1,2,1,1,1,2,2,1,1,4,2,2,
2,2,2,1,1,2,1,1,1,1,1,2,2,2,1],[1,1,2,4,8,4,1,2,2,4,2,2,4,2,8,4,16,1,1,2,1,1,
4,1,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,2,2,1,1,2,4,4,4,2,4,2,1,1,1,1,1,
2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,4,2,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,4,
8,1,2,2,1,1,4,2,8,2,4,1,2,1,1,1,1,2,2,2,4,4,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,
2,1,1,2,2,2,4,4,4,4,1,1,1,1,1,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,2,1,
3,4,2,2,4,8,1,1,1,1,1,1,2,4,2,2,2,2,1,2,2,2,2,4,2,1,1,1,1,2,1,1,1,2,2,2,1],[1,
1,2,16,1,1,1,8,8,8,1,2,2,4,2,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,2,2,2,2,6,4,4,1,1,
1,1,3,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,1,1,2,2,4,2,2,4,8,1,2,1,2,1,1,2,2,2,1,
1,1,2,2,2,2,2,2,2,2,2,1,1,2,1,1,1,1,1,2,2,2,1],[1,1,2,4,4,4,4,1,2,2,2,2,2,2,2,
4,4,8,8,1,1,1,1,1,1,2,2,2,2,4,2,2,2,1,2,2,2,2,2,1,1,2,1,2,2,2,2,2,1],[1,1,6,4,
3,4,2,2,4,1,1,1,2,4,2,1,1,1,1],[1,1,2,8,1,6,4,8,4,3,1,1,2,2,2,1,1,2,2,1,1],[1,
1,2,4,4,1,2,2,2,2,4,6,4,1,1,1,1,3,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,4,4,8,1,1,
1,2,2,4,2,2,1,1,1,2,2,1],[1,1,2,4,4,1,2,1,1,2,1,1,2,2,4,4,2,1,1,1,1,1,1,2,2,1,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,1,2,2,2,2,2,4,4,4,1,2,1,1,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,2,4,8,1,2,2,2,4,8,2,1,1,1,2,4,2,2,1,1,1,2,2,1],[1,1,2,8,1,
2,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,4,4,4,1,2,2,2,2,2,2,4,4,2,4,4,16,1,1,1,1,
1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,1,1,1,2,2,1,1,4,2,4,8,4,1,2,1,
2,2,1,1,1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,12,1,4,6,8,1,2,1,1,4,2,2,2,
1,1,1,2,2,1],[1,3,4,1,5,3,2,1,3,1,2,2,2,1,1,1,1],[1,1,2,4,1,2,2,1,1,2,4,6,1,1,
1,1,3,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,4,2,1,1,2,1,2,2,1,1,1,1],[1,1,2,8,
4,1,4,4,2,8,1,2,1,1,2,2,2,4,1,1,1,2,2,1],[1,1,2,8,4,1,2,4,2,2,8,2,1,1,1,2,2,4,
2,1,1,1,2,2,1],[1,1,2,8,4,4,4,1,4,2,1,1,2,2,2,8,4,4,4,16,16,1,1,1,1,2,1,2,2,2,
4,2,4,2,2,4,4,8,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,1,4,2,4,1,1,2,1,2,2,2,1,1,1,
1],[1,3,4,1,3,2,3,2,1,3,1,2,2,2,1,1,1,1],[1,1,2,4,1,2,2,4,2,1,2,1,1,2,2,2,1,1,
1,1],[1,1,2,2,4,2,1,4,1,1,2,5,1,1,1,1,1,2,5,1,1,3,1,2,1,3,2,4,2,2,2,1,1,1,1,1,
1,1,2,2,2,2,1],[1,1,2,4,1,8,2,1,3,4,1,2,2,2,1,1,1,2,2,1],[1,1,2,4,1,4,2,4,1,1,
2,1,2,2,2,1,1,1,1],[1,3,4,1,3,2,3,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,4,1,2,2,2,2,
2,2,1,1,2,1,2,2,1,1,1,1],[1,1,2,4,1,2,1,1,2,4,1,1,2,1,2,2,2,1,1,1,2,2,1],[1,1,
2,8,1,1,1,2,2,4,8,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,4,3,2,4,2,2,4,6,1,1,1,
1,3,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,2,4,2,2,8,2,1,1,1,2,4,2,2,1,1,1,2,2,1],[
1,1,2,4,1,2,2,2,4,1,2,1,2,2,1,2,1,1,1,1],[1,1,2,1,2,2,2,1,2,4,1,2,1],[1,1,6,8,
3,4,4,8,1,3,2,3,2,2,2,1,1,2,2,1,1],[1,1,2,12,1,2,1,1,2,2,6,12,1,1,1,3,1,2,4,2,
4,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,4,2,1,1,1,2,2,2,1,1,1,1],[1,1,10,4,5,
2,8,1,1,2,2,2,4,2,1,4,1,1,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,4,
1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,4,1,4,1,1,2,4,4,2,8,1,1,2,2,1,2,2,2,4,4,2,
1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,1,6,3,4,4,
1,3,3,2,4,2,1,1,1,2,2,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,4,2,2,1,1,1,1],[1,1,6,4,
3,4,2,2,4,1,1,1,4,2,2,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,2,4,2,1,1,1,1],[1,
1,6,4,8,4,3,2,4,1,1,4,2,4,8,2,4,16,16,1,2,1,1,1,1,2,2,2,4,2,2,2,4,4,4,8,4,4,1,
1,1,1,1,1,1,4,4,1],[1,1,2,8,4,4,1,4,2,2,2,2,8,4,2,4,16,1,1,2,1,1,1,4,4,8,4,4,
1,1,1,1,1,1,1,1],[1,1,6,4,3,1,1,4,1,1,2,2,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,2,4,4,4,4,1,2,2,2,2,2,2,2,4,4,8,8,1,1,1,1,1,1,2,4,2,2,2,2,1,2,2,
2,2,2,2,2,1,1,2,1,2,2,2,2,2,1],[1,1,2,8,4,1,4,1,1,2,4,8,4,2,1,1,2,2,1,4,2,2,2,
2,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,1,1,1,2,2,1],[1,3,4,1,
1,4,3,2,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,4,4,4,2,1,1,1,2,4,4,1,1,1,
1,1,1,1,1],[1,1,6,8,1,3,3,4,8,3,1,1,3,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,2,
4,2,2,8,1,2,2,1,2,1,2,4,1,1,1,2,2,1],[1,1,10,4,5,2,8,2,2,2,1,4,1,2,1,2,2,1,1,
1,2,2,1],[1,1,2,4,4,1,2,2,2,4,4,1,2,1,1,4,2,1,1,1,1],[1,1,2,1,2,4,1,2,2,2,1,2,
1],[1,1,2,1,1,1,1,1,4,6,1,2,1,3,4,4,1,1,1,1,1,2,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,
4,4,4,4,1,2,1,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,1,1,4,2,2,2,8,2,
4,1,1,2,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,8,3,2,4,4,2,2,4,8,2,16,1,
1,2,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,3,4,1,1,2,2,2,4,3,1,3,1,1,
1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,4,4,3,4,2,4,1,1,2,24,2,4,4,16,1,1,1,6,1,
8,1,2,2,2,2,2,2,4,4,4,4,4,1,1,1,1,1,1,1,4,4,1],[1,1,6,4,3,2,4,2,2,6,4,1,1,1,1,
3,4,4,1,1,1,1,1,1,1,1],[1,1,6,12,3,6,4,2,2,2,28,1,1,7,1,8,1,4,4,4,1,1,1,1,1,1,
1,1],[1,1,2,8,4,1,4,4,2,8,1,2,1,1,2,2,2,4,1,1,1,2,2,1],[1,1,2,4,4,1,2,2,2,4,4,
1,1,1,2,4,2,1,1,1,1],[1,1,2,4,4,1,2,2,2,4,4,1,1,1,4,2,2,1,1,1,1],[1,1,6,4,3,4,
2,2,2,4,2,4,1,2,2,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,1,1,2,4,1,1,2,
1,2,2,2,1,1,1,2,2,1],[1,1,2,8,4,1,2,4,2,2,8,2,1,1,2,1,2,4,2,1,1,1,2,2,1],[1,1,
2,8,8,1,2,4,4,8,8,1,1,1,2,2,4,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,1,1,1,1,1,2,2,
2,1,1,1,2,2,1],[1,1,2,4,1,2,2,6,3,4,1,2,1,2,2,1,1,1,2,2,1],[1,1,2,4,1,2,2,2,4,
1,1,2,1,2,2,2,1,1,1,1],[1,1,6,4,4,4,3,1,1,2,4,1,1,2,2,4,2,4,4,1,1,1,1,1,1,2,2,
1,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,2,4,1,1,1,2,2,2,2,1,1,1,2,
2,1],[1,1,6,4,8,4,3,2,4,4,1,1,2,4,2,24,4,16,1,1,6,1,1,8,1,2,2,2,2,2,2,4,4,4,4,
4,1,1,1,1,1,1,1,4,4,1],[1,1,2,4,1,2,2,2,2,2,2,1,1,1,2,2,2,1,1,1,1],[1,1,2,4,4,
1,1,1,2,2,1,1,2,4,4,4,1,2,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,
2,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,8,4,1,1,1,4,2,2,2,2,8,4,1,1,2,1,1,2,2,1,2,2,
4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,2,2,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,4,1,2,
4,2,2,8,2,1,1,2,1,4,2,2,1,1,1,2,2,1],[1,1,6,4,4,3,1,1,2,4,2,2,2,4,4,2,1,1,1,1,
1,1,2,1,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,2,4,4,6,1,1,2,3,2,2,1,1,1,1,
1,1,1,1],[1,1,2,12,1,2,2,6,8,1,1,1,2,2,2,4,2,1,1,1,2,2,1],[1,1,2,4,4,4,1,1,2,
2,3,2,8,1,1,2,1,1,1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,6,4,2,1,2,1,3,2,8,1,1,1,
1,1,2,2,1,2,1,2,1,1,1,1,1,1,1,1],[1,1,4,10,4,2,1,1,5,2,8,8,1,1,1,1,1,2,2,1,2,
2,1,1,1,1,1,1,1,1,1],[1,1,2,2,4,6,1,1,3,1,1,2,3,3,4,4,4,1,1,2,1,1,1,2,1,1,1,2,
1,1,1,1,1,1,3,1,2,1,1,1,1,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,1,1,1,
2,6,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,4,4,8,1,2,2,2,2,2,4,4,4,4,8,4,1,1,1,1,1,1,
1,1,1,3,1,1,1,3,1,1,2,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1],[1,1,2,2,2,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,1,1,1,6,2,4,1,1,
2,2,1,2,2,1,1,1,1],[1,1,4,4,2,1,2,2,2,2,1,1,8,2,2,1,1,1,1,1,1,1,2,2,1,1,1,1,1,
1,1,1],[1,1,6,4,4,1,3,2,3,2,8,1,1,3,1,3,1,2,2,1,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,
1,1,2,2,1,4,8,8,1,2,1,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,10,4,3,1,5,2,8,1,
1,1,1,3,2,2,3,1,1,1,1,1,1,1,1,1],[1,1,2,2,8,6,1,2,1,1,4,3,3,8,8,8,1,1,1,2,2,1,
1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,4,8,
2,1,2,2,4,1,1,8,8,2,2,1,1,1,1,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,1,1,4,2,
2,8,1,1,1,2,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,1,1,1,6,2,4,1,1,2,1,2,2,2,1,
1,1,1],[1,1,6,4,3,2,1,3,2,1,1,1,1,3,2,3,1,2,1,1,1,1,1,1,1,1],[1,3,4,12,1,1,2,
3,6,6,12,1,1,2,4,2,3,4,4,2,2,6,1,2,2,1,1,1],[1,3,4,8,1,1,1,2,4,2,8,1,2,1,2,1,
2,2,2,2,1,1,1,2,2,1],[1,1,2,2,8,2,1,1,1,1,1,4,5,1,4,4,4,1,1,1,2,1,1,2,1,1,1,1,
1,2,1,1,3,1,2,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,1,2,2,2,
2,2,4,4,4,4,8,4,1,1,1,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,2,2,2,2,2,3,1,1,1,1,1,1,2,
1,1,1,1,1,1,1,1],[1,1,2,2,4,6,1,3,1,1,1,2,3,3,4,4,4,1,1,1,1,2,1,1,1,2,1,1,1,1,
1,2,1,1,1,1,2,3,1,1,2,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,2,4,4,1,2,1,
2,3,2,8,1,1,1,2,1,2,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,6,1,2,2,3,3,2,1,1,1,3,1,3,
1,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,3,1,2,3,2,8,1,3,2,3,1,1,1,1,2,1,1,1,1,1,1,1,
1],[1,1,6,3,3,3,2,1,1,1,3,2,1,2,3,1,1,1,1,1,1,1,1,1],[1,1,6,4,4,1,3,2,3,2,8,1,
1,3,1,2,1,3,1,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,3,2,2,3,1,3,1,2,1,2,2,1,1,1,1,1,
1,1,1],[1,1,6,4,4,1,3,2,3,2,8,1,1,1,3,1,2,2,3,1,1,1,1,1,1,1,1,1],[1,1,4,4,10,
1,2,2,1,5,8,8,2,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,6,2,1,3,3,2,8,1,1,
1,1,2,2,1,2,1,2,1,1,1,1,1,1,1,1,1],[1,1,4,10,2,1,1,5,2,8,1,1,1,2,1,2,1,2,1,2,
1,1,1,1,1,1,1,1,1],[1,1,6,4,3,1,2,3,2,1,1,1,1,3,3,2,1,2,1,1,1,1,1,1,1,1],[1,3,
4,12,1,1,2,3,6,6,12,1,1,2,4,3,2,2,6,4,2,4,1,1,2,1,2,1],[1,1,6,4,1,3,2,5,1,1,1,
3,2,2,1,3,1,1,1,1,1,1,1,1,1],[1,1,2,4,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,
1,1,1,1],[1,1,2,4,8,8,1,1,1,2,4,2,4,4,4,4,4,24,12,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
3,1,1,1,2,2,6,2,2,1,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,2,5,1,1,
1,3,3,2,2,1,1,1,1,1,1,1,1,1,1],[1,1,2,2,8,6,1,2,1,1,4,3,3,8,8,8,1,1,1,2,2,1,1,
1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,
4,4,2,8,8,1,2,1,4,2,1,2,2,1,1,1,2,2,1],[1,1,2,8,1,4,2,4,8,1,2,4,1,2,1,2,2,1,1,
1,2,2,1],[1,1,2,8,1,4,2,4,8,1,2,4,1,2,1,2,2,1,1,1,2,2,1],[1,1,2,2,4,6,1,2,2,1,
1,2,3,3,4,4,4,2,1,1,1,1,1,1,1,1,3,1,1,1,1,1,2,1,3,2,1,1,2,1,2,2,1,1,1,1,1,1,1,
1,1,1,1,2,1,1,1],[1,1,4,4,4,2,1,2,2,2,2,1,1,8,1,2,1,2,1,1,2,1,1,1,2,1,1,1,1,1,
1,1,1],[1,1,4,4,4,2,1,2,2,2,2,1,1,8,2,1,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,
1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,4,1,3,2,
3,2,8,1,1,1,3,3,2,1,1,2,1,1,1,1,1,1,1,1],[1,1,14,1,3,7,8,1,2,2,1,3,1,3,1,1,1,
1,1,1,1,1,1,1],[1,3,4,1,1,2,3,2,2,1,2,2,1,1,2,2,1,1,1,1],[1,3,4,1,3,3,2,2,3,2,
1,1,2,2,1,1,1,1],[1,1,6,4,2,1,3,3,2,1,1,3,1,2,1,3,1,2,1,1,1,1,1,1,1,1],[1,1,
10,1,5,5,1,1,3,5,3,1,1,1,1,1,1,1,1,1,1],[1,1,10,1,5,5,1,1,5,3,3,1,1,1,1,1,1,1,
1,1,1],[1,1,2,8,1,3,3,4,8,1,3,3,2,2,2,2,1,1,1,2,2,1],[1,1,6,3,3,5,1,1,3,5,3,1,
1,1,1,1,1,1,1,1,1],[1,1,6,4,1,2,3,3,2,1,2,1,1,3,1,3,1,2,1,1,1,1,1,1,1,1],[1,1,
10,4,3,1,5,2,8,1,1,1,1,3,2,3,2,1,1,1,1,1,1,1,1,1],[1,1,4,4,6,1,2,2,3,3,8,1,2,
3,3,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,4,6,1,2,2,3,3,8,1,2,3,3,1,1,1,1,2,1,1,1,
1,1,1,1,1],[1,3,4,8,1,1,1,2,4,2,8,1,2,1,1,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,2,8,
10,1,1,1,1,1,4,1,5,8,12,12,20,1,2,2,1,1,1,1,1,1,1,1,1,1,5,1,3,1,1,1,2,3,2,1,8,
8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,4,6,1,2,2,3,3,1,2,1,1,3,1,3,1,2,1,1,1,
1,1,1,1,1],[1,1,4,2,4,3,2,1,3,2,8,1,3,3,2,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,2,8,
8,1,4,4,2,8,8,1,2,4,1,2,1,2,2,1,1,1,2,2,1],[1,1,2,4,4,4,4,1,1,1,1,1,2,2,2,2,2,
4,4,8,8,1,1,2,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,2,1,
1,1,1,1,1,1,1],[1,1,6,4,1,3,2,5,1,1,1,3,2,1,2,3,1,1,1,1,1,1,1,1,1],[1,3,4,4,1,
1,1,2,6,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,10,3,1,5,2,1,1,1,2,3,1,2,3,1,1,1,1,1,1,
1,1,1],[1,1,4,2,4,4,1,2,1,2,3,2,8,1,1,2,1,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1],[1,1,
2,4,8,1,2,1,2,1,4,8,1,1,2,1,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,8,1,1,1,
2,4,2,4,4,4,4,4,24,12,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,6,1,1,2,2,2,2,1,8,8,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,3,3,3,2,1,1,1,3,2,1,2,3,1,1,1,1,1,1,1,1,
1],[1,1,4,6,1,2,2,3,3,1,1,2,1,3,1,3,2,1,1,1,1,1,1,1,1,1],[1,1,6,3,3,5,1,1,5,3,
1,3,1,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,1,4,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,2,8,1,1,
1,4,4,8,2,1,2,2,2,2,1,1,1,1],[1,1,2,4,8,2,1,1,2,1,4,8,2,1,1,1,2,1,1,1,1,2,2,1,
1,1,1,1,1,1,1],[1,1,2,4,4,8,1,1,2,2,1,4,8,8,2,1,1,1,1,2,1,1,1,2,2,1,1,1,1,1,1,
1,1],[1,1,6,4,1,3,2,5,1,1,1,3,3,2,1,2,1,1,1,1,1,1,1,1,1],[1,1,6,3,3,5,1,1,3,5,
3,1,1,1,1,1,1,1,1,1,1],[1,1,4,10,2,1,1,5,2,8,1,1,1,1,2,2,1,2,1,2,1,1,1,1,1,1,
1,1,1],[1,1,10,3,1,5,2,1,1,1,3,2,1,2,3,1,1,1,1,1,1,1,1,1],[1,1,4,10,4,2,1,1,5,
2,8,8,1,1,1,1,1,2,2,2,1,2,1,1,1,1,1,1,1,1,1],[1,3,4,4,4,4,1,3,1,2,2,2,6,2,8,4,
8,1,1,1,1,2,1,2,2,2,2,1,2,1,2,2,2,2,2,2,2,2,1,1,2,1,2,2,2,2,2,1],[1,3,4,4,4,4,
1,1,2,1,2,2,2,6,2,8,4,8,1,1,1,1,2,2,2,1,2,2,2,1,1,2,2,2,2,2,2,2,2,1,1,2,1,2,2,
2,2,2,1],[1,3,4,1,1,2,3,2,2,1,2,1,2,1,2,2,1,1,1,1],[1,3,8,4,1,3,1,4,2,8,1,1,1,
2,2,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,1,1,1,4,4,8,1,2,2,2,2,2,1,1,1,1],[1,1,2,4,4,
4,1,1,2,2,3,2,8,1,2,1,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,2,8,1,2,2,1,1,4,
8,2,1,1,2,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,1,2,3,3,2,1,1,1,3,2,3,1,1,2,
1,1,1,1,1,1,1,1],[1,1,6,3,3,5,1,1,3,5,1,3,1,1,1,1,1,1,1,1,1],[1,1,4,2,4,3,2,1,
3,2,8,1,3,2,3,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,2,4,8,1,2,1,2,1,4,8,8,1,1,2,1,
1,1,2,2,1,1,2,1,1,1,1,1,1,1,1],[1,3,8,4,1,1,2,1,4,2,8,1,1,1,2,2,2,2,2,2,1,1,1,
2,2,1],[1,3,8,4,1,1,2,1,4,2,8,1,1,1,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,6,1,7,3,1,1,
1,3,2,3,2,1,1,1,1,1,1,1,1,1,1],[1,1,4,2,4,8,1,2,1,2,1,4,8,8,1,1,2,1,1,1,1,2,1,
2,2,1,1,1,1,1,1,1,1],[1,1,4,6,4,2,1,1,2,3,2,8,1,1,1,1,1,2,1,2,2,1,2,1,1,1,1,1,
1,1,1],[1,3,4,1,3,3,2,2,3,1,2,1,2,2,1,1,1,1],[1,1,8,6,1,4,3,3,8,2,1,1,1,3,2,1,
3,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,1,1,4,4,8,8,1,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,
1,4,6,2,1,3,3,2,8,1,1,1,1,2,2,1,2,1,2,1,1,1,1,1,1,1,1,1],[1,1,2,2,2,1,2,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,4,4,1,3,1,6,2,2,2,2,8,4,8,1,
1,1,1,2,1,2,2,2,1,2,2,2,1,2,2,2,2,2,2,2,1,2,1,1,2,2,2,2,2,1],[1,1,2,2,2,1,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,8,1,1,1,4,2,2,8,1,1,2,1,2,
2,2,2,2,1,1,1,2,2,1],[1,3,4,4,4,4,1,1,2,1,6,2,2,2,2,8,4,8,1,1,1,1,2,2,1,2,1,2,
2,2,2,2,1,2,2,2,2,2,2,1,2,1,1,2,2,2,2,2,1],[1,3,4,8,1,1,1,4,2,2,8,1,1,2,1,2,2,
2,2,2,1,1,1,2,2,1],[1,1,6,4,2,1,3,3,2,1,1,3,1,2,3,1,1,2,1,1,1,1,1,1,1,1],[1,1,
2,4,4,3,1,2,3,2,8,1,2,3,3,1,1,1,1,2,1,1,1,1,1,1,1,1],[1,1,4,4,2,1,2,2,5,1,8,1,
1,2,1,2,1,1,2,1,1,2,1,1,1,1,1,1,1,1],[1,3,8,4,1,3,1,4,2,8,1,1,1,2,2,2,2,2,2,1,
1,1,2,2,1],[1,1,4,2,8,2,1,2,1,1,4,8,1,1,1,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,1],[1,
3,4,4,4,4,1,1,2,1,6,2,2,2,2,8,4,8,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,2,
2,2,2,2,2,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1],[1,3,4,8,1,1,1,2,4,2,8,1,1,2,1,1,2,1,
2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,4,4,1,1,2,1,2,2,2,6,2,8,4,8,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,2,2,1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1],[1,3,4,8,1,
1,1,4,2,2,8,1,1,2,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,2,1,2,2,1,2,2,1,1],[1,
1,18,2,2,9,2,2,6,12,6,1,6,6,1,1,1,1],[1,1,2,2,9,2,2,1,6,6,1,1],[1,1,6,2,2,3,2,
2,2,6,1,1,3,1,2,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,1,2,2,3,2,2,1,1,3,1,1],[1,1,6,
2,2,3,2,2,2,6,1,1,3,1,2,1],[1,3,3,9,2,2,9,1,1,6,6,3,3,1,3,3,1,1,1,1],[1,3,3,9,
2,2,9,1,1,6,6,3,3,1,3,3,1,1,1,1],[1,1,10,1,5,5,1,5,1,2,1,1,1,1],[1,1,5,1,5,1,
1,1],[1,1,5,1,5,1,1,1],[1,1,4,3,6,4,3,1,3,4,3,1,1],[1,1,4,3,6,4,3,1,3,4,3,1,
1],[1,1,6,4,1,3,3,4,3,1,3,4,1,1,1],[1,1,6,4,3,4,4,1,3,3,4,1,1,1],[1,1,12,4,3,
6,4,8,1,3,3,4,3,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,3,16,1,3,3,3,4,1,1],[
1,1,2,4,1,6,4,8,4,3,4,1,1,1],[1,1,18,1,3,3,9,1,6,1,9,9,1,3,3,3,1,3,3,1],[1,1,
6,1,1,3,3,1,6,3,1,3,1,3,3,1,1,3,3,1],[1,1,18,1,3,3,9,1,6,1,9,9,1,3,3,3,1,3,3,
1],[1,1,6,4,3,1,3,4,1,3,3,4,1,1,1],[1,1,4,6,3,4,1,3,3,4,3,1,1],[1,1,6,4,1,3,3,
4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,
1],[1,1,2,4,1,3,3,4,8,1,3,3,4,1,1,1],[1,1,12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,12,
4,3,6,4,8,1,3,3,4,3,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,4,3,6,4,1,3,3,4,
3,1,1],[1,1,12,4,6,3,4,8,1,3,3,4,3,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,
6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,12,4,6,3,4,8,1,3,3,4,3,1,1],[1,1,2,4,1,6,4,8,
3,4,4,1,1,1],[1,1,6,4,3,1,3,4,1,3,3,4,1,1,1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,1,
12,4,3,6,4,8,1,3,3,4,3,1,1],[1,1,4,9,4,3,1,3,4,3,1,1],[1,1,4,6,3,4,1,3,3,4,3,
1,1],[1,1,6,4,1,3,3,4,3,1,3,4,1,1,1],[1,1,4,9,4,1,3,3,4,3,1,1],[1,1,6,8,4,3,4,
4,24,4,8,1,6,8,1,4,1,1,2,1],[1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,
12,4,3,4,3,3,6,12,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,
3,1,1],[1,1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,6,4,3,4,6,6,4,1,3,3,1,4,3,1,1],[1,
1,6,4,1,3,3,4,1,3,3,4,1,1,1],[1,1,12,1,1,2,6,1,4,1,3,3,2,1,2,3,1,1,1,1],[1,1,
2,1,1,1,1,1,2,1,6,1,1,1,3,1,1,1,1],[1,1,4,9,4,1,3,3,4,3,1,1],[1,1,2,12,1,1,1,
1,3,3,6,1,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,6,12,4,3,
6,4,12,6,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,6,
12,4,3,6,4,6,12,4,8,1,3,3,12,1,4,3,1,2,1],[1,1,12,4,6,3,4,8,1,3,3,4,3,1,1],[1,
1,12,4,6,3,4,8,1,3,3,4,3,1,1],[1,1,6,1,1,3,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,
6,4,1,3,3,4,4,3,1,3,1,4,1,1,1],[1,1,12,1,1,2,6,1,4,1,3,3,2,1,2,3,1,1,1,1],[1,
1,12,4,6,3,4,8,1,3,3,4,3,1,1],[1,1,4,1,2,1,6,1,4,1,3,3,2,1,2,3,1,1,1,1],[1,1,
6,8,4,3,4,4,24,4,8,1,6,8,1,4,1,1,2,1],[1,1,12,4,6,3,4,8,1,3,3,4,3,1,1],[1,1,4,
1,2,1,2,1,4,1,1,1,2,1,2,1,1,1,1,1],[1,1,4,1,2,1,2,1,4,1,1,1,2,1,2,1,1,1,1,1],[
1,1,2,1,1,1,1,2,2,1,2,1,1,1,2,2,1,1,1,2,2,1,1,1,1,2,2,1],[1,1,2,24,1,1,1,1,12,
24,1,4,4,2,1,6,6,6,1,1,2,2,1,8,3,1,1,1,2,2,1],[1,1,2,4,3,1,3,4,8,1,3,3,4,1,1,
1],[1,1,2,4,3,1,3,4,8,1,3,3,4,1,1,1],[1,1,1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,2,
4,3,1,3,4,8,1,3,3,4,1,1,1],[1,1,2,4,3,1,3,4,8,1,3,3,4,1,1,1],[1,1,4,18,1,2,1,
3,9,24,1,2,4,4,1,3,6,3,6,1,2,2,1,1,8,3,2,1,1,1,2,1],[1,1,6,12,1,1,3,2,3,6,1,2,
4,1,3,3,6,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,4,18,1,2,1,3,9,24,1,4,2,4,1,3,6,3,6,
1,2,1,2,1,8,3,2,1,1,1,2,1],[1,1,4,12,1,2,1,6,1,4,4,1,3,3,2,1,2,3,1,1,1,1],[1,
1,6,1,1,3,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,12,1,1,2,6,1,4,1,3,3,2,1,2,3,1,1,
1,1],[1,1,6,1,1,5,3,6,1,2,1,3,6,3,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,12,1,1,6,6,
1,4,1,3,3,2,1,2,3,1,1,1,1],[1,1,1,3,2,1,1,1,1,3,2,1,1,1,1,1],[1,1,2,12,1,1,1,
1,6,6,1,2,4,1,3,6,3,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,1,12,12,1,1,6,6,1,4,4,1,3,3,
2,1,2,3,1,1,1,1],[1,1,12,1,1,2,6,1,4,1,3,3,2,1,2,3,1,1,1,1],[1,1,6,1,1,3,3,1,
2,1,3,3,1,1,1,3,1,1,1,1],[1,1,12,1,1,6,6,1,4,1,3,3,2,1,2,3,1,1,1,1],[1,1,6,1,
1,3,3,1,2,1,3,3,1,1,1,3,1,1,1,1],[1,1,1,3,6,1,1,3,3,3,2,3,1,1,1,1],[1,1,12,1,
3,6,1,4,1,3,3,3,2,3,1,1,1,1],[1,1,6,12,1,1,2,3,3,6,1,2,4,1,3,3,6,6,1,1,1,2,2,
3,1,1,1,2,2,1],[1,1,12,12,1,1,6,6,1,4,4,1,3,3,2,1,2,3,1,1,1,1],[1,1,6,1,1,5,3,
6,1,2,1,3,6,3,6,1,1,1,2,2,3,1,1,1,2,2,1],[1,3,4,6,6,4,1,3,6,3,3,3,12,4,4,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,1,1,4,4,3,3,1,2,4,3,3,3,6,1,1,1,1,1,1,1,3,1,
1,1,1,1,1,1,1],[1,1,2,6,6,4,1,3,3,4,12,12,4,8,1,3,3,8,1,4,1,1,2,1],[1,3,4,6,6,
4,1,3,6,3,3,3,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,6,6,1,1,1,4,3,3,3,
1,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,2,6,6,4,1,3,3,4,
12,12,4,8,1,3,3,8,1,4,1,1,2,1],[1,1,12,6,1,1,1,1,6,3,3,1,2,2,2,1,3,3,3,3,3,3,
1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,6,4,1,3,3,4,4,1,3,3,4,1,1,1,1],[1,1,4,3,
6,4,1,3,3,4,3,1,1],[1,3,6,4,6,4,1,3,3,3,6,3,12,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,1,2,6,6,1,1,4,1,3,3,3,1,2,2,2,1,3,3,3,3,3,3,1,1,1,1,1,1,1,3,1,1,1,1,1,
1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,3,6,4,6,4,1,3,3,3,6,3,12,4,4,4,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,4,3,6,4,4,4,1,3,3,4,3,1,1],[1,1,8,8,6,1,1,
4,4,3,3,24,1,2,2,1,1,2,2,4,3,3,3,6,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1],[
1,15,10,5,6,10,6,5,1],[1,1,30,1,15,15,60,15,15,20,45,60,15,15,20,45,60,6,10,
15,1],[1,1,2,1,6,6,6,12,4,2,3,6,6,6,8,12,1,2,2,3,3,6,6,12,3,6,6,1],[1,1,14,1,
7,7,12,7,3,4,9,4,12,4,1,3,4,3,4,4,6,6,12,1,4,4,6,1],[1,1,6,24,1,3,3,4,12,12,
24,32,3,1,3,4,4,6,6,8,12,12,12,12,12,12,24,24,1,3,3,4,4,6,6,8,12,12,12,12,12,
12,24,24,3,4,6,6,12,1],[1,1,6,1,3,3,4,6,6,12,3,1,3,6,6,12,12,1,3,3,4,6,6,12,3,
4,1],[1,1,14,24,1,7,7,2,2,12,12,24,96,7,1,1,3,4,2,2,9,12,6,6,6,12,12,12,12,24,
24,24,24,1,1,3,4,3,3,4,6,6,6,6,6,6,8,8,12,12,12,24,24,1,2,3,3,4,4,6,8,1],[1,1,
2,1,1,1,2,2,3,3,6,12,1,1,1,2,1,2,3,3,3,6,12,12,1,1,3,3,3,3,3,6,6,6,1,2,3,3,6,
1],[1,1,2,12,12,12,1,1,1,2,2,6,6,6,6,12,12,12,96,1,1,1,2,2,6,3,3,3,3,4,6,6,6,
6,6,6,6,6,6,6,6,12,12,12,24,24,24,1,1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,6,6,6,6,6,
12,12,12,12,12,12,1,1,1,3,3,3,3,4,4,4,4,1],[1,1,6,1,3,3,4,3,1,3,12,1,6,6,6,3,
1],[1,1,10,8,5,2,4,8,4,4,4,2,2,1,4,4,2,2,2,4,4,4,4,4,8,1,1,1,4,2,2,4,4,4,4,4,
1,1,1,2,2,1],[1,1,10,16,5,2,8,8,4,4,8,48,2,1,4,2,12,2,16,4,4,8,8,8,16,2,1,1,1,
2,2,2,2,2,4,4,4,4,4,1,2,2,2,4,4,1],[1,1,6,8,1,3,3,4,4,4,8,3,1,3,4,4,2,2,4,4,4,
4,8,1,1,1,4,2,2,2,2,4,4,4,1,1,1,2,2,1],[1,1,10,5,2,8,4,4,2,1,4,2,2,4,8,1,1,1,
4,4,1,2,1],[1,1,10,8,5,2,4,8,4,4,4,2,2,1,4,4,2,2,2,4,4,4,4,4,8,1,1,1,4,2,2,4,
4,4,4,4,1,1,1,2,2,1],[1,1,2,16,1,6,2,2,4,8,8,16,4,3,4,2,4,2,4,8,4,4,8,8,8,1,1,
1,2,2,2,2,2,2,8,4,4,4,1,2,2,2,4,4,1],[1,1,2,8,1,6,4,2,2,4,4,2,4,3,4,2,2,2,4,4,
4,4,4,8,1,1,1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,8,16,1,3,3,4,4,4,2,2,8,4,
24,16,24,32,3,1,3,4,2,4,4,2,6,6,4,8,8,4,4,12,8,8,8,8,8,8,8,8,16,16,1,1,1,1,1,
2,2,6,6,2,2,2,4,4,4,4,4,4,8,8,8,8,1,1,1,2,2,2,2,4,1],[1,1,14,8,1,7,7,12,2,2,4,
4,4,8,7,3,4,9,12,2,2,2,2,4,4,4,4,4,4,8,8,8,1,3,4,1,1,1,1,3,4,2,2,2,2,4,4,4,4,
4,4,1,1,1,1,1,1,1,4,4,1],[1,1,2,8,1,6,4,2,2,4,4,2,4,3,4,2,2,2,4,4,4,4,4,8,1,1,
1,4,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,14,1,7,7,12,7,3,4,9,12,8,1,3,4,3,4,4,4,4,
1,2,2,2,1],[1,1,2,1,6,2,2,4,4,3,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,6,16,8,1,3,3,4,
4,4,8,4,4,16,8,32,3,2,2,1,4,4,3,4,4,2,4,2,4,4,8,8,8,4,4,4,4,4,8,4,8,8,8,8,8,8,
8,2,1,1,2,1,2,2,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,1,2,1,
1,2,4,4,4,4,4,4,1],[1,1,6,16,8,1,3,3,4,8,4,4,16,8,8,32,3,1,3,4,4,2,4,2,4,4,4,
4,4,8,8,8,8,8,16,16,1,1,2,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,4,4,1],[1,
1,6,32,1,3,3,4,2,2,16,4,32,64,3,1,3,2,8,8,2,8,4,4,16,16,16,16,16,16,16,16,1,1,
1,4,2,4,2,4,8,8,8,8,8,8,8,8,1,2,2,2,4,4,1],[1,1,6,1,3,3,4,2,2,4,3,1,3,2,2,4,4,
8,1,1,1,2,2,4,4,4,1,2,4,1],[1,1,6,1,3,3,4,2,2,4,3,1,3,4,4,2,2,4,4,1,1,1,4,2,2,
2,2,4,1,2,2,2,1],[1,1,14,8,8,1,7,7,4,4,12,24,8,24,7,3,4,9,12,4,6,6,8,8,12,4,
16,16,1,1,1,3,4,3,4,2,6,2,2,6,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,1,6,2,2,4,4,3,
2,2,4,8,1,1,1,4,4,1,2,1],[1,1,10,5,2,8,4,4,2,1,4,2,2,4,8,1,1,1,4,4,1,2,1],[1,
1,14,1,7,7,12,16,7,3,4,9,12,8,1,3,4,3,4,4,4,4,1,2,4,1],[1,1,10,16,5,2,8,8,4,4,
48,8,2,1,4,2,12,2,16,4,4,8,8,8,16,2,1,1,1,2,2,2,2,2,4,4,4,4,4,1,2,2,2,4,4,1],[
1,1,6,8,1,3,3,4,4,4,8,3,1,3,2,2,4,4,4,4,8,8,1,1,1,2,2,4,4,4,4,4,1,2,2,2,1],[1,
1,6,8,8,8,8,1,3,3,2,2,4,4,4,4,4,4,24,8,24,8,32,32,3,1,1,1,2,2,3,4,2,2,6,6,2,2,
2,8,8,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,16,16,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,6,2,2,2,2,6,2,2,2,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,2,2,2,2,2,2,
4,4,8,1],[1,1,6,8,1,3,3,2,2,4,2,2,4,4,8,8,3,1,1,1,2,2,3,2,2,2,2,2,4,4,4,4,4,4,
4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,18,8,9,6,
4,24,12,24,6,2,9,18,6,8,6,24,1,9,6,3,6,6,1,3,3,1],[1,1,6,8,12,12,3,3,3,4,4,6,
6,6,24,12,12,8,48,24,1,3,1,1,3,6,3,3,8,2,3,6,3,3,3,3,6,6,6,6,3,6,6,6,12,6,6,
12,6,12,6,6,24,16,1,1,1,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,
6,6,12,12,6,1,3,3,3,3,3,3,6,6,1],[1,1,6,8,12,12,3,3,3,4,4,6,6,6,12,24,12,8,48,
24,1,3,1,1,3,6,3,3,8,2,6,3,6,3,3,6,3,3,6,6,3,6,6,6,6,6,12,6,12,12,6,6,24,16,1,
1,1,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,1,3,3,3,
3,3,3,6,6,1],[1,1,6,8,24,3,4,4,3,3,12,6,24,24,48,1,3,6,3,6,8,6,6,12,12,12,12,
12,12,24,12,12,12,1,1,3,3,3,6,6,6,12,6,6,6,6,12,6,1,3,2,3,6,1],[1,1,18,12,9,6,
2,24,6,24,1,6,2,9,1,18,3,3,6,6,6,6,9,1,3,6,3,3,2,3,6,3,3,3,6,1,1,1,3,3,3,3,
1],[1,1,10,12,5,10,2,6,24,1,10,15,3,10,1,3,6,6,6,6,5,3,1,10,3,3,2,3,3,6,3,3,6,
1,1,1,3,3,3,3,1],[1,1,6,8,24,3,4,4,3,3,12,6,24,24,48,1,3,6,3,6,8,6,6,12,12,12,
12,12,12,12,12,12,24,1,1,3,3,6,3,6,6,6,6,12,6,6,6,12,1,3,2,3,6,1],[1,1,18,12,
9,6,2,24,6,24,1,6,2,9,3,18,1,3,6,6,6,6,9,1,3,6,3,3,2,6,3,3,3,3,6,1,1,1,3,3,3,
3,1],[1,1,10,12,5,10,2,6,24,1,10,15,1,10,3,3,6,6,6,6,5,3,1,10,3,3,2,3,3,3,6,3,
6,1,1,1,3,3,3,3,1],[1,1,18,8,9,6,4,24,24,12,6,2,9,18,6,8,6,24,1,9,6,3,6,6,1,3,
3,1],[1,1,10,5,10,2,2,4,10,15,10,2,2,4,4,5,1,1,10,4,2,4,4,1,1,1,2,2,1],[1,1,
14,8,1,7,7,12,4,4,8,7,3,4,9,12,2,2,4,4,4,4,8,4,1,3,4,1,1,3,4,2,2,2,2,2,4,4,4,
4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,12,4,4,1,2,1,1,6,2,2,2,2,8,12,4,4,4,1,1,1,2,1,
3,4,4,2,2,2,4,2,6,6,4,2,12,4,4,4,4,4,4,4,4,1,1,2,1,3,1,1,1,1,1,1,3,4,4,2,2,2,
2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,16,1,2,8,4,8,8,1,2,2,2,2,2,2,
2,4,6,2,4,8,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,2,2,4,8,
2,1,2,2,4,4,4,4,4,4,4,4,8,1,1,2,2,1,2,2,4,4,4,4,4,1,1,1,2,2,1],[1,1,2,16,1,6,
2,2,8,4,16,4,3,2,2,4,2,2,4,4,4,8,8,1,1,1,4,2,4,4,2,4,4,4,1,1,1,2,2,1],[1,1,2,
1,6,2,2,4,4,3,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,6,8,8,1,3,3,4,4,4,2,2,4,8,8,8,3,1,
3,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,1,1,2,2,1,2,1,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,8,8,8,3,4,4,4,3,3,4,2,4,24,
8,4,8,8,32,16,32,1,1,1,3,2,3,2,6,2,8,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
8,4,4,4,4,4,4,8,8,8,8,8,16,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,2,2,2,2,2,2,4,4,8,1],[1,1,6,1,3,3,
4,2,2,4,3,1,3,2,2,4,4,4,4,1,1,1,2,2,2,2,4,4,1,2,2,2,1],[1,1,2,8,1,6,4,4,8,4,3,
2,2,4,4,4,1,1,1,4,4,1,2,1],[1,1,6,8,8,8,1,3,3,4,4,4,4,4,8,8,8,8,32,3,1,3,4,2,
2,2,2,4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,1,1,1,2,2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,
4,4,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,10,16,5,2,8,8,4,4,16,2,1,2,4,2,2,4,2,
4,4,4,8,8,1,1,1,4,4,4,2,2,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,2,4,4,4,4,4,8,2,1,2,
2,2,2,4,4,4,4,4,8,4,4,1,1,2,1,2,4,4,2,4,2,4,4,1,1,1,2,2,1],[1,1,2,4,12,4,8,1,
2,1,1,2,6,2,4,4,4,4,4,4,12,8,32,1,1,2,1,3,1,2,2,4,2,2,2,4,2,4,2,2,4,2,8,4,4,4,
4,8,8,8,8,8,8,1,1,1,1,1,1,2,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,
1,1,2,2,2,2,1],[1,1,2,1,2,2,2,8,1,2,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,
16,8,1,6,8,4,4,8,16,4,3,2,2,2,4,2,4,4,4,8,8,1,1,1,4,2,4,4,2,4,4,4,1,1,1,2,2,
1],[1,1,6,8,1,3,3,4,4,4,8,3,1,3,2,2,4,4,4,4,4,8,4,1,1,1,2,2,2,2,4,4,4,4,1,1,1,
2,2,1],[1,1,6,8,8,4,12,3,1,1,4,4,4,2,2,2,2,6,24,4,4,8,12,16,32,1,1,1,2,2,6,3,
1,8,4,4,2,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,1,
1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,2,8,1,2,2,2,12,4,1,2,2,2,4,4,2,2,4,6,2,8,4,4,1,1,2,1,2,2,2,2,2,4,4,4,4,1,
1,1,2,2,1],[1,1,2,8,1,6,2,2,8,4,4,3,2,2,2,2,2,2,4,6,2,8,4,4,1,1,1,2,4,2,2,2,4,
4,4,4,1,1,1,2,2,1],[1,1,6,8,8,4,12,3,1,1,4,4,4,2,2,2,2,6,8,4,4,24,12,16,32,1,
1,1,2,6,2,3,1,8,4,2,2,2,2,2,4,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,
8,1,1,1,1,1,1,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,8,8,8,8,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,6,8,8,1,3,3,4,4,4,24,24,3,1,3,2,2,4,6,6,8,8,12,4,1,1,1,2,6,1,
6,1,2,2,2,2,1,1,1,2,2,1],[1,1,2,8,8,1,2,4,2,2,4,8,8,8,8,1,2,2,2,4,4,4,4,4,4,4,
4,4,4,4,8,4,1,1,2,2,1,1,1,1,2,1,2,2,2,2,2,2,2,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,
4,4,12,8,1,2,5,1,2,2,6,8,4,4,4,4,16,16,16,2,1,1,2,2,2,1,1,1,2,2,4,6,2,4,8,2,4,
2,4,6,2,4,4,6,2,4,6,4,4,4,8,12,8,8,8,4,4,4,1,2,2,1,1,1,1,1,1,2,4,2,2,2,2,4,2,
2,2,4,2,2,2,4,4,4,2,2,4,6,8,4,4,4,4,4,4,4,8,4,4,8,4,4,4,4,4,4,1,1,1,2,2,2,2,2,
4,2,4,4,4,1],[1,1,18,9,6,24,4,4,6,2,9,18,2,2,4,4,1,1,9,6,4,2,4,4,1,1,1,2,2,
1],[1,1,10,5,2,8,4,4,2,1,4,2,2,4,4,4,1,1,1,2,4,2,1,1,1,1],[1,1,2,8,8,1,2,4,8,
4,8,4,1,2,2,2,2,2,2,2,4,6,2,4,8,4,4,1,1,1,2,2,2,2,2,4,2,4,4,4,1,1,1,2,2,1],[1,
1,2,8,1,2,4,4,4,8,1,4,2,2,2,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,12,12,8,4,1,1,
1,6,6,2,2,4,2,4,2,12,8,12,4,16,16,32,1,6,2,2,2,2,3,3,1,2,1,6,2,2,4,8,8,4,8,4,
4,4,8,4,4,4,4,4,4,4,8,8,8,8,8,8,8,1,1,2,1,1,1,2,1,3,2,1,1,1,1,2,2,2,2,2,4,2,4,
4,4,4,8,8,8,8,2,1,1,1,1,1,1,1,2,2,2,1],[1,1,10,8,8,8,5,2,4,4,8,2,2,4,24,8,24,
8,32,2,1,4,2,6,6,2,8,8,4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,
2,2,2,4,2,2,2,2,2,8,8,8,8,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,1,3,3,2,2,4,4,8,3,1,1,
1,2,2,3,2,2,2,2,2,4,4,4,4,4,1,1,1,2,2,1,2,2,1,2,4,2,2,2,2,4,4,4,4,1,1,1,2,2,2,
2,4,1],[1,1,2,8,8,1,1,1,1,1,4,4,2,4,8,12,8,1,1,2,2,1,2,2,2,2,6,4,4,2,4,4,4,4,
8,8,1,1,1,2,1,1,3,2,2,1,4,2,2,2,2,2,2,2,2,1,1,2,1,2,2,2,2,2,1],[1,1,6,8,1,3,3,
2,2,4,2,2,4,4,8,3,1,1,1,2,2,3,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,2,2,2,1,2,2,
2,1,2,4,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,2,4,2,2,4,8,2,1,2,2,4,4,4,4,4,4,4,8,4,1,
1,2,2,1,2,4,4,2,4,4,4,1,1,1,2,2,1],[1,1,6,16,8,3,8,4,1,1,4,4,6,32,8,4,16,1,3,
2,1,8,2,8,2,2,2,8,4,4,4,4,4,12,8,4,4,4,8,16,1,1,1,2,1,3,1,1,2,2,4,2,2,2,2,2,2,
2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,1,2,2,2,8,1,4,2,4,4,4,4,1,1,2,2,1,2,2,
1,1,1,1],[1,1,2,1,2,2,2,8,1,4,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,6,16,4,4,
3,1,1,8,4,2,6,4,2,4,4,32,4,16,1,1,2,1,8,1,3,8,4,2,2,6,2,2,2,6,8,4,4,4,12,8,8,
8,8,1,1,1,3,3,2,1,1,1,1,1,1,4,4,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,
1],[1,1,2,8,8,1,2,4,8,4,4,8,1,2,2,2,2,2,2,2,4,6,2,8,4,4,4,1,1,1,2,2,2,2,2,2,4,
4,4,4,1,1,1,2,2,1],[1,1,6,16,8,1,3,3,4,8,4,4,16,8,32,3,1,3,2,2,4,4,2,4,2,4,4,
4,4,8,8,8,8,8,1,1,2,1,2,2,2,1,2,1,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,
2,4,4,12,8,1,6,1,1,2,2,6,4,4,4,12,4,4,8,16,16,4,1,3,2,3,1,1,2,4,2,6,6,4,2,2,2,
2,4,4,12,8,8,8,8,8,8,1,1,1,1,1,1,1,3,1,3,1,4,4,4,2,2,2,2,2,2,2,2,4,4,1,1,1,1,
1,1,1,2,2,2,2,1],[1,1,2,8,8,8,1,1,1,4,4,3,3,4,6,8,8,4,8,1,1,4,3,2,3,2,3,2,2,2,
4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,3,3,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,4,4,
4,4,1,1,1,2,2,2,2,2,2,1],[1,1,2,8,8,8,1,6,4,4,4,4,8,8,8,8,32,4,3,2,2,2,2,4,8,
4,4,4,4,4,8,8,8,8,8,1,1,1,1,2,2,1,1,1,2,4,2,4,2,4,2,2,2,1,1,1,2,2,2,2,2,2,1],[
1,1,10,16,5,2,8,2,2,4,8,8,16,2,1,4,2,2,4,6,4,4,2,4,8,8,4,4,4,1,1,1,4,4,2,2,4,
4,4,4,1,1,1,2,2,1],[1,1,6,16,8,3,8,4,1,1,4,4,6,8,4,32,16,1,3,2,1,8,2,8,2,2,2,
12,4,4,4,4,8,4,8,4,4,4,8,16,1,1,1,2,3,2,1,1,1,2,2,2,4,2,2,2,2,2,2,4,4,4,4,1,1,
1,2,2,2,2,2,2,1],[1,1,2,4,4,8,12,1,1,1,2,2,4,6,6,4,8,8,4,12,16,16,1,2,2,2,1,1,
3,2,3,4,2,4,6,6,4,12,4,4,4,8,8,8,8,8,8,1,1,1,3,3,1,1,2,1,1,1,1,4,4,2,2,2,2,2,
2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,10,8,5,10,4,4,8,10,15,10,2,2,4,4,5,
1,1,10,4,2,4,4,1,1,1,2,2,1],[1,1,2,12,4,4,8,1,2,1,1,6,2,2,4,4,4,12,4,4,4,8,32,
1,1,2,1,1,3,2,2,2,2,2,4,2,2,4,2,4,4,2,4,4,8,4,4,8,8,8,8,8,8,1,1,1,1,1,1,1,1,2,
2,1,1,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,1,6,4,4,
8,4,3,2,2,4,8,1,1,1,4,4,1,2,1],[1,1,2,8,1,2,4,4,8,4,1,2,2,2,4,4,4,4,1,1,1,2,2,
2,2,1,1,1,1],[1,1,6,16,1,3,3,4,2,2,8,4,8,16,3,1,3,2,2,4,4,4,4,4,8,8,4,4,12,4,
4,8,4,4,1,1,1,1,2,3,2,2,4,2,1,1,4,4,2,2,2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,2,8,8,1,2,4,4,4,4,4,8,2,1,2,2,2,2,4,4,4,4,4,4,8,4,1,1,2,1,2,2,4,4,2,4,4,4,
1,1,1,2,2,1],[1,1,2,8,1,2,2,2,12,4,1,2,2,2,4,4,2,2,4,6,2,8,4,4,1,1,2,1,2,2,2,
2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,8,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,1,
1,1,1],[1,1,14,1,7,7,12,2,2,4,7,3,4,9,12,2,2,4,4,4,1,3,4,1,1,3,4,2,2,2,2,2,1,
1,1,2,2,1],[1,1,6,1,3,3,4,2,2,4,3,1,3,2,2,4,4,8,1,1,1,2,2,4,4,4,1,2,2,2,1],[1,
1,6,16,4,4,3,1,1,8,4,2,6,4,2,32,4,4,4,16,1,1,2,1,8,1,3,4,8,2,2,6,2,6,2,2,12,4,
8,4,4,8,8,8,8,1,1,1,1,3,1,1,2,1,1,1,3,4,4,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,6,16,1,3,3,4,8,16,8,32,3,1,3,4,4,4,4,8,8,8,4,8,1,2,2,2,2,2,2,
2,2,2,4,4,1,1,1,4,1],[1,1,6,1,3,3,4,2,2,4,8,3,1,3,2,2,2,2,4,4,4,1,1,1,2,2,2,2,
1,2,2,1,2,1,1,1,1],[1,1,6,8,1,3,3,4,4,4,4,8,4,8,3,1,1,3,4,3,4,2,2,2,4,4,4,4,2,
4,4,8,8,1,1,1,1,1,4,3,2,1,2,2,2,2,2,2,2,2,2,4,2,4,1,1,1,1,2,1,1,1,2,2,2,1],[1,
1,2,8,8,8,1,1,1,2,2,4,4,1,1,4,2,4,8,4,8,8,1,1,1,2,2,4,1,1,2,2,2,2,2,4,4,4,2,4,
4,4,4,4,4,4,4,2,4,4,4,4,8,8,1,1,1,2,2,2,1,2,1,1,2,2,1,2,2,4,4,2,4,2,4,2,2,2,2,
1,2,1,1,2,2,2,2,2,1],[1,1,10,16,5,2,8,4,4,4,4,8,16,2,1,1,4,2,3,4,4,2,6,4,4,4,
6,8,12,12,8,8,8,1,1,1,1,2,2,1,1,3,2,2,2,4,4,6,2,2,4,2,8,1,1,2,1,2,2,2,2,2,1],[
1,1,2,8,1,2,4,4,8,4,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,8,1,2,4,4,
4,4,4,8,2,1,2,2,2,4,4,4,2,4,4,8,4,4,1,1,2,1,2,2,4,4,2,4,4,4,1,1,1,2,2,1],[1,1,
18,8,9,6,24,2,2,4,8,6,2,9,18,2,2,4,8,8,4,1,1,9,6,4,2,4,4,1,1,1,2,2,1],[1,1,2,
8,8,1,6,4,4,2,2,4,8,8,8,4,3,2,2,2,2,8,4,4,4,4,4,4,4,4,4,4,1,1,1,1,2,2,1,1,1,4,
2,2,4,4,2,2,2,2,1,1,2,1,2,2,2,2,2,1],[1,1,14,16,1,7,7,12,8,16,32,7,3,4,9,2,12,
2,4,4,4,8,8,8,8,1,3,4,2,3,2,4,1,2,1,2,4,4,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,
10,8,5,2,8,2,2,4,16,8,2,1,4,2,2,4,8,8,8,1,1,1,4,4,1,2,1],[1,1,2,4,12,4,1,2,1,
1,2,6,2,2,2,8,4,4,4,12,1,1,1,2,3,1,4,4,2,2,6,4,2,2,2,4,6,4,4,4,4,4,4,4,12,4,1,
1,2,3,1,3,1,1,1,1,1,1,4,4,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
14,8,1,7,7,2,2,12,4,8,7,1,1,3,4,2,2,9,2,12,2,2,2,2,4,4,4,4,1,1,3,4,1,3,2,2,2,
2,2,4,2,1,2,2,1,2,4,2,2,2,2,2,1,1,2,1,1,1,1,1,2,2,2,1],[1,1,6,8,1,3,3,2,2,4,4,
8,8,3,1,1,1,2,2,3,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,4,2,2,2,1,1,1,2,2,1],[
1,1,2,4,4,4,1,2,1,1,2,2,2,4,4,4,4,1,1,1,1,1,2,2,2,2,4,2,2,4,2,4,4,4,4,1,1,1,1,
1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,4,4,1,2,1,1,2,2,2,4,4,4,4,1,1,1,1,1,2,
2,2,2,4,2,2,4,2,4,4,4,4,1,1,1,1,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,4,4,1,
2,1,1,2,2,2,4,4,4,4,1,1,1,1,1,2,2,2,2,4,2,2,4,2,4,4,4,4,1,1,1,1,1,1,1,2,2,4,4,
4,4,1,1,1,2,2,1],[1,1,2,1,2,2,2,8,1,2,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,
4,4,4,1,2,1,1,2,2,2,4,4,4,4,1,1,1,1,1,2,2,2,2,4,2,2,4,2,4,4,4,4,1,1,1,1,1,1,1,
2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,16,1,2,4,8,4,8,4,2,1,2,2,2,4,4,4,4,2,4,8,4,4,
1,2,1,1,4,4,2,2,4,2,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,2,4,4,4,4,4,8,2,1,2,2,2,4,4,
4,4,2,4,8,4,4,1,1,2,1,2,4,4,2,2,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,8,4,1,2,2,
2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,2,4,4,4,8,1,4,2,2,2,4,4,4,1,1,1,2,
2,2,2,1,1,1,1],[1,1,2,16,1,2,8,4,8,8,1,2,2,2,2,2,2,2,4,6,2,4,8,4,4,1,1,1,2,2,
2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,1,3,3,4,4,4,8,3,1,3,2,2,4,4,4,4,8,4,4,1,
1,1,2,2,2,4,4,2,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,8,1,4,2,2,2,4,4,4,1,1,2,1,
2,2,2,1,1,1,1],[1,1,2,8,8,1,2,4,2,2,4,8,8,8,8,1,2,2,2,4,4,4,4,4,4,4,4,4,8,4,4,
4,1,1,2,1,2,1,2,1,1,1,2,2,2,2,4,4,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,6,8,1,3,3,4,
2,2,4,4,4,8,3,1,3,2,2,2,2,4,4,4,4,4,4,8,4,1,1,1,1,1,2,2,2,2,2,2,2,4,4,1,1,1,2,
2,1],[1,1,10,4,4,12,5,2,1,1,2,2,8,6,4,4,4,12,4,4,32,2,1,1,4,2,3,1,1,2,2,2,4,2,
4,2,2,2,4,4,2,4,4,8,4,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,4,2,2,2,2,
4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,4,12,8,1,2,1,5,2,2,6,8,4,4,4,4,16,
16,16,2,1,1,2,2,2,1,1,1,2,2,4,4,2,6,4,4,6,8,4,2,2,4,6,4,6,2,2,4,12,4,8,4,8,8,
4,4,8,4,1,2,2,1,1,1,2,1,1,1,2,2,2,4,4,2,2,6,4,2,2,2,4,2,4,4,2,2,2,4,8,4,4,4,4,
4,4,4,4,4,4,4,4,4,8,4,4,8,1,1,1,2,2,2,4,2,2,2,4,4,4,1],[1,1,10,5,2,8,4,4,16,2,
1,4,2,2,8,4,1,1,1,4,4,1,2,1],[1,1,2,16,1,2,4,8,4,8,4,2,1,2,2,2,4,4,4,2,4,4,8,
4,4,1,1,2,1,4,2,2,4,2,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,2,4,8,4,4,8,1,2,2,2,2,2,
2,2,4,6,2,4,8,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,8,4,
1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,2,4,4,8,4,1,4,2,2,2,4,4,4,1,
1,2,1,2,2,2,1,1,1,1],[1,1,2,8,1,2,4,4,8,4,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,
1],[1,1,10,16,8,5,2,8,2,2,8,4,8,16,2,1,2,4,2,4,2,2,4,8,8,4,4,8,8,1,1,1,4,4,4,
2,2,4,4,4,1,1,1,2,2,1],[1,1,2,4,4,12,1,6,1,1,2,2,2,2,6,4,4,12,4,4,4,1,3,3,2,1,
1,2,6,6,2,4,2,2,2,4,2,4,4,4,4,4,4,4,12,4,1,1,1,1,1,1,1,1,1,3,3,4,4,2,2,2,4,2,
2,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,8,8,8,3,4,4,4,3,3,4,2,4,8,8,4,
24,8,32,16,32,1,1,1,3,2,3,6,2,2,8,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,
4,4,4,4,4,8,8,16,8,8,8,8,8,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,
4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,2,2,2,2,2,2,4,4,8,1],[1,1,2,8,1,2,4,4,
4,8,1,4,2,2,2,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,8,1,2,4,4,4,8,1,2,2,2,4,4,4,
4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,8,1,2,4,8,4,8,4,1,2,2,2,2,2,2,2,4,6,2,4,4,8,
4,1,1,1,2,2,2,2,2,4,2,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,2,4,4,4,4,8,4,2,1,2,2,2,
4,4,4,2,4,4,4,8,4,1,2,1,1,2,4,2,4,2,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,2,4,4,4,4,
8,4,2,1,2,2,2,4,4,4,4,2,4,4,8,4,1,2,1,1,2,4,4,4,2,2,4,4,1,1,1,2,2,1],[1,1,10,
4,4,12,8,5,2,1,1,2,2,8,2,2,6,4,4,12,4,4,8,16,16,32,2,1,1,4,3,2,1,1,2,4,2,2,2,
4,4,2,2,2,4,2,4,4,4,4,4,8,4,8,4,8,4,8,8,4,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,2,1,
2,2,2,4,2,2,2,2,2,2,4,4,4,4,8,8,8,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,1,2,4,4,
8,4,1,4,2,2,2,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,8,1,2,4,4,8,4,1,2,2,2,4,4,4,
4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,1,2,4,4,4,8,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,1,
1,1,1],[1,1,2,4,4,4,1,2,1,1,2,2,2,4,4,4,4,1,1,4,1,1,1,2,2,2,2,4,2,2,4,2,4,4,4,
1,1,1,1,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,4,4,1,2,1,1,2,2,2,4,4,4,4,1,1,
4,1,1,1,2,2,2,2,4,2,2,4,2,4,4,4,1,1,1,1,1,1,2,1,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,
8,8,8,1,2,4,4,4,4,4,8,8,8,8,32,1,2,2,2,2,2,4,4,4,8,8,4,4,8,16,8,8,1,2,1,1,2,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,2,16,1,6,4,4,8,8,16,4,
3,2,2,4,6,4,4,2,4,4,4,4,1,1,1,4,4,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,1,6,2,2,4,4,
3,2,2,4,4,4,1,1,1,4,2,2,1,1,1,1],[1,1,2,8,8,1,2,4,8,4,8,4,1,4,2,2,2,2,2,2,2,4,
6,2,8,4,4,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,1,3,3,4,8,3,1,3,2,2,4,
4,1,2,2,2,1,2,1,2,2,2,2,1,1,1,1],[1,1,2,1,6,2,2,4,4,3,2,2,4,8,1,1,1,4,4,1,2,
1],[1,1,10,8,5,2,8,2,2,4,8,2,1,4,2,2,4,8,8,8,1,1,1,4,4,1,2,1],[1,1,10,5,2,8,4,
4,2,1,4,2,2,4,4,4,1,1,1,4,4,1,2,1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,2,4,2,4,8,4,
4,1,1,1,2,2,2,2,2,1,1,1,1,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,2,1,1,1,1,2,1,
1,1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,2,1,2,2,2,1],[1,1,10,8,8,5,2,2,
2,8,2,2,4,4,8,16,1,1,2,1,2,4,2,2,2,2,4,2,2,2,2,4,8,8,4,4,4,1,1,1,2,2,1,1,1,1,
2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,6,16,1,3,3,4,8,16,32,3,1,3,2,2,4,4,4,8,
8,8,4,8,1,2,2,1,2,1,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,6,1,3,3,4,3,1,3,4,4,4,1,4,
2,2,4,2,2,2,1,2,2,2,1],[1,1,6,24,1,3,3,2,2,4,12,24,32,3,1,1,1,2,2,3,6,6,6,4,4,
4,4,8,8,8,4,8,1,1,3,2,2,2,2,2,2,4,2,2,2,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,
6,8,1,3,3,4,4,4,8,8,3,1,3,2,2,2,2,4,4,4,4,4,8,1,1,1,2,2,2,2,2,1,2,1,2,4,4,1,1,
1,2,2,1],[1,1,10,8,5,2,8,8,4,4,2,1,4,2,2,2,2,2,2,4,6,2,8,4,4,1,1,1,2,2,4,2,2,
4,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,1,6,2,2,4,4,4,8,16,1,1,4,3,2,2,2,2,2,4,2,2,2,
2,4,4,4,4,1,1,1,2,2,1,1,1,1,4,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,8,8,1,2,4,
8,4,8,4,1,2,4,2,2,2,2,2,2,4,6,2,8,4,4,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[
1,1,2,8,8,8,1,2,4,4,4,4,4,8,8,8,8,32,1,2,2,2,2,2,4,4,8,4,8,4,4,8,8,8,16,1,1,1,
1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,2,2,2,2,1],[1,1,10,8,5,2,8,2,2,
8,8,4,8,2,1,4,4,2,2,4,4,4,4,4,4,4,4,8,4,4,1,1,1,1,2,1,2,2,2,1,3,2,2,2,6,2,4,1,
1,2,1,2,2,2,2,2,1],[1,1,2,8,1,2,4,4,4,8,1,2,2,2,4,4,4,4,1,1,1,2,2,2,2,1,1,1,
1],[1,1,6,8,3,4,4,4,8,1,3,5,3,1,2,2,4,2,2,2,1,1,4,2,3,2,1,1,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,2,4,4,4,8,1,2,1,1,2,2,2,4,4,4,4,8,16,16,1,1,2,2,1,1,1,2,4,2,2,2,4,
2,2,2,4,4,4,8,8,1,1,1,1,1,1,1,1,1,2,2,4,2,4,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,12,
3,4,4,6,6,8,4,12,8,1,1,1,2,3,3,2,2,3,3,4,2,6,12,2,8,8,3,1,1,1,3,3,1,2,2,2,2,2,
2,6,1,1,1,1,1,1,1,1],[1,1,2,8,4,4,12,1,3,1,4,2,2,4,6,8,4,8,8,32,1,1,1,2,2,1,1,
3,2,1,2,4,2,4,4,4,2,4,2,2,2,2,2,2,2,2,2,8,8,8,1,1,1,2,1,2,1,1,1,1,1,1,1,2,4,2,
2,2,2,4,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,4,4,12,1,1,3,4,2,
2,4,6,8,4,8,8,32,1,1,1,2,2,1,2,1,2,4,3,4,1,4,2,4,2,2,4,2,2,2,2,2,2,2,2,8,8,8,
1,1,1,2,1,1,2,1,1,1,1,1,1,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,
2,1],[1,1,2,4,4,12,16,1,2,3,3,2,2,6,4,8,4,4,4,8,16,32,32,32,1,1,1,1,2,1,1,1,2,
4,6,4,2,4,4,2,2,2,2,2,4,4,4,2,4,2,4,2,2,4,4,2,8,4,8,4,4,4,4,8,8,4,8,8,8,8,16,
16,1,1,1,1,1,1,1,1,1,2,2,4,2,2,2,2,3,1,1,2,2,2,2,2,3,2,2,2,1,2,3,3,1,2,2,4,2,
2,4,6,4,2,2,2,2,4,4,2,4,2,2,6,4,2,6,6,2,2,2,2,4,2,2,4,1,1,1,2,2,1,1,1,1,2,2,2,
2,2,2,2,4,2,1],[1,1,2,1,1,1,3,3,6,1,1,3,3,3,2,4,2,1,3,3,2,2,1,1,1,1],[1,1,6,
20,3,4,2,2,2,10,32,1,1,3,2,3,5,2,6,6,8,8,2,8,8,1,1,3,1,2,2,2,1,4,2,2,4,6,1,1,
1,1,1,1,1,1],[1,1,2,12,1,6,2,6,8,1,4,3,1,3,3,2,2,2,2,4,1,2,1,1,1,2,4,2,1,2,2,
2,2,1,1,1,1,1,1,1,1],[1,1,2,12,8,4,1,2,6,4,4,4,2,4,12,8,8,1,2,1,3,1,2,1,1,2,2,
1,2,2,8,2,4,6,2,2,2,2,4,2,8,1,2,1,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,1],[1,1,6,4,4,8,4,1,3,3,2,2,2,2,4,1,1,4,2,2,2,4,8,4,4,4,3,1,1,1,2,2,3,2,1,2,
2,1,1,1,1,2,1,2,4,4,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,
1,1,1,2,1,2,1,1,1,2,2,1,1,1,2,1,2,4,2,1,1,1,1,1,1,1,1,2,1,2,1,1,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,8,4,12,1,1,3,2,4,2,4,6,4,8,8,8,32,1,1,2,1,2,1,
4,1,2,3,1,4,2,2,4,2,2,2,4,2,2,2,2,4,2,2,2,8,8,8,1,1,1,1,2,2,1,1,1,1,1,1,1,2,4,
2,4,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,4,4,8,4,3,2,2,4,4,
6,4,2,4,8,8,4,4,16,16,1,2,2,1,1,1,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,1,1,1,2,1,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,6,8,3,4,4,4,8,1,3,1,3,5,2,2,4,2,2,2,1,1,4,2,3,2,1,1,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,2,4,4,8,12,1,1,1,4,4,2,2,4,6,6,4,4,4,8,16,16,8,1,1,1,4,2,1,1,
2,1,1,1,2,1,2,2,4,1,2,2,2,1,5,4,5,2,3,4,6,4,4,4,2,2,2,3,4,4,2,6,4,6,6,4,4,6,4,
4,6,10,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,4,3,5,2,1,3,2,1,1,1,2,3,1,1,1,1,1,1,
1,2,3,4,1,1,2,2,2,1,2,4,2,2,4,4,4,2,2,2,2,2,2,4,4,2,2,4,4,2,4,2,6,2,2,2,4,4,2,
1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,2,2,2,4,2,1],[1,1,10,12,5,2,2,8,6,8,1,2,1,3,
4,1,3,2,2,2,2,4,1,2,1,1,4,2,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,16,3,4,4,8,
4,24,2,1,3,1,3,1,4,2,4,8,8,4,4,8,6,6,2,1,1,1,1,4,2,4,4,1,1,1,1,3,4,2,2,2,2,2,
2,2,2,6,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,16,1,1,1,2,2,1,1,8,2,4,16,1,1,1,2,2,1,
1,4,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,2,4,2,1,1,1,2,2,1],[1,1,10,12,5,2,2,8,6,8,
1,2,1,1,4,3,3,2,2,2,2,4,1,2,1,1,2,4,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,
4,8,1,2,1,1,2,2,2,2,2,4,4,4,4,8,4,8,1,1,2,1,2,1,1,2,2,2,2,2,4,2,2,2,2,2,4,2,4,
4,2,2,2,4,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,1,1,1,1,1,2,1,1,2,
1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,1,3,2,2,4,4,2,
4,4,8,1,1,2,1,1,2,1,2,4,3,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,2,1,1,2,1,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,4,8,4,3,6,2,4,2,2,4,2,4,2,28,8,4,4,4,
16,16,16,1,2,2,2,1,7,1,1,8,2,2,2,4,2,2,4,2,6,4,4,6,2,2,4,2,4,4,2,2,4,4,4,4,8,
4,4,4,4,4,4,8,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,3,1,1,1,4,4,
4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,8,4,12,1,3,1,2,4,2,4,6,
4,8,8,8,32,1,1,2,1,2,1,4,1,3,4,4,2,2,1,2,2,2,4,2,2,2,2,2,2,4,2,2,8,8,8,1,1,1,
1,2,2,1,1,1,1,1,1,1,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[
1,1,6,4,3,4,2,2,2,2,1,1,3,4,3,2,1,2,2,2,2,1,1,1,1,1,3,1,4,1,1,2,2,1,1,1,1,1,1,
1,1],[1,1,2,4,4,12,4,1,2,2,2,2,6,2,4,2,4,8,4,8,8,1,1,2,2,1,2,1,1,1,2,2,2,2,4,
2,2,2,1,2,2,2,2,2,4,2,8,8,1,1,1,1,1,2,2,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,10,8,12,4,5,2,1,1,4,8,1,1,6,2,2,2,24,12,4,4,16,32,2,1,1,4,1,3,1,6,1,1,
8,2,2,4,2,2,2,2,2,2,4,2,2,2,4,4,4,2,2,4,8,4,4,8,8,4,8,4,8,8,1,1,1,1,1,1,1,1,1,
1,1,2,2,1,2,2,1,1,1,1,1,1,2,1,1,2,1,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,1,2,4,4,4,4,1,6,2,2,2,2,2,2,4,4,4,8,8,1,4,3,2,1,1,1,1,2,4,2,2,2,
2,2,1,2,2,2,2,2,2,2,2,1,2,1,1,1,1,2,2,2,1,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,2,4,8,4,1,2,2,4,8,2,4,4,4,8,8,1,1,1,3,4,2,1,1,2,2,2,1,2,2,2,2,4,6,2,2,2,2,
1,1,1,2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,4,1,2,1,1,4,
1,1,2,2,6,2,4,8,8,4,1,1,3,1,1,2,1,1,2,2,2,2,4,2,2,4,4,2,2,4,2,2,2,2,4,4,4,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,6,16,8,3,4,3,3,8,2,4,16,8,32,1,1,1,3,4,3,2,2,2,2,2,4,4,8,4,4,8,
8,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[
1,1,6,8,4,4,3,1,1,4,4,2,2,2,2,4,2,4,8,8,4,1,1,2,1,2,2,1,1,2,2,2,2,2,4,2,2,2,2,
4,4,2,6,6,4,2,2,2,2,2,2,4,8,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,3,1,1,1,2,1,1,1,
1,1,1,1,1,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,8,3,4,4,1,1,4,
2,24,8,16,1,1,2,1,6,8,2,2,4,4,2,4,4,4,2,4,8,1,1,1,2,1,2,1,4,2,4,2,2,2,2,1,1,1,
2,2,1],[1,1,2,12,8,4,1,2,6,4,4,4,2,4,12,8,8,1,2,1,3,1,2,1,2,2,2,1,1,2,8,4,2,2,
6,2,2,4,2,2,8,1,2,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,
16,3,4,4,8,4,24,2,1,3,1,3,1,4,2,8,4,4,8,4,8,6,6,2,1,1,1,1,4,2,1,1,1,4,1,3,4,4,
2,2,2,2,2,2,6,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,10,8,5,2,4,8,12,24,2,1,4,6,8,
6,4,8,1,1,3,2,2,2,1,1,1,1],[1,1,2,20,1,1,1,10,10,12,8,1,1,1,3,3,4,2,2,3,10,6,
2,3,12,6,4,2,2,1,1,1,3,3,2,4,4,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,2,2,2,2,1],[1,1,6,8,4,4,3,1,1,4,4,2,2,2,4,24,4,16,1,1,1,6,1,1,8,2,2,2,2,
2,2,2,4,4,4,2,2,2,8,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,2,2,1,1,1,1,1,1,1,1],[1,1,
10,4,4,4,4,5,2,2,2,2,8,2,2,2,4,4,4,8,8,1,2,1,4,2,1,1,1,1,2,4,2,2,2,2,2,1,2,2,
2,2,2,2,2,2,8,8,1,2,1,1,1,1,2,2,2,1,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,
20,3,4,2,2,6,10,20,8,1,1,1,2,5,3,2,4,3,3,4,4,4,4,6,12,2,2,3,1,2,1,3,2,3,1,1,2,
2,2,6,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,1,1,2,2,2,2,4,2,4,2,4,8,1,2,2,2,1,2,1,1,
2,2,2,1,1,1,2,2,2,2,2,2,2,2,4,2,4,2,2,2,1,1,1,1,1,2,1,1,2,1,1,1,1,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,2,8,4,1,1,1,2,2,4,2,2,8,4,8,1,2,1,2,1,1,2,2,2,1,1,1,4,2,2,
2,2,2,2,2,2,2,2,2,1,2,1,1,2,1,2,1,1,1,1,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
6,4,4,4,8,3,1,1,2,2,4,3,3,2,2,4,4,4,8,4,8,1,1,1,1,3,1,3,1,1,2,2,2,2,2,2,4,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,4,4,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1,2,3,1,1,2,1,
1,2,2,1,1,1,2,1,1,1,1,3,1,1,1,1,2,2,2,2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,2,4,4,8,12,1,2,2,2,1,1,4,2,2,6,4,8,8,4,12,16,16,1,1,2,1,1,1,3,1,2,4,4,2,2,2,
2,4,4,4,2,2,4,4,2,2,2,12,4,4,8,8,8,4,4,4,1,1,1,1,1,1,1,1,1,2,1,1,2,1,2,1,1,1,
1,1,1,1,1,1,1,1,1,3,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,8,4,
3,2,2,4,4,4,2,2,8,8,4,4,8,1,2,2,2,1,1,1,4,1,1,1,2,4,4,2,2,2,2,4,2,2,2,2,8,8,1,
1,2,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,12,3,2,2,4,2,2,
4,2,6,8,12,8,1,2,2,2,3,1,4,1,4,1,1,1,4,4,2,2,2,4,4,4,2,2,4,2,2,2,1,1,2,1,2,1,
2,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,2,2,1,1,2,4,1,1,1,2,2,
1,1,2,2,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,16,1,2,4,4,8,4,16,1,1,4,3,4,2,4,4,4,
8,8,1,1,1,2,2,2,4,2,4,4,1,1,1,2,2,1],[1,1,2,4,4,12,4,1,2,2,2,2,2,2,6,2,2,4,8,
4,8,8,1,1,2,1,2,2,1,1,1,2,4,2,2,2,2,1,2,2,4,2,4,4,2,2,2,2,4,2,4,1,1,1,1,1,2,1,
2,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,12,3,4,4,6,6,4,8,12,8,1,1,1,
2,3,3,2,2,3,3,2,6,12,2,4,8,8,3,1,1,2,1,3,2,3,1,2,2,2,6,2,1,1,1,1,1,1,1,1],[1,
1,6,8,4,3,2,2,4,4,6,4,2,8,4,8,1,2,2,2,1,3,4,1,4,1,1,1,4,2,2,2,2,2,4,2,2,2,1,1,
1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,12,4,1,2,2,2,2,
2,2,6,2,2,4,8,4,8,8,1,1,2,1,2,2,1,1,1,2,2,2,2,4,2,2,2,1,4,2,4,4,2,2,2,2,4,2,4,
1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,1,2,4,4,4,
4,4,4,8,8,4,8,1,1,3,2,4,2,2,2,4,2,4,4,4,6,4,6,4,4,6,6,4,6,4,4,4,4,6,1,1,1,1,1,
1,1,1,2,1,1,2,2,1,2,3,1,1,3,2,1,3,1,1,4,4,4,4,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1],[
1,1,6,8,8,3,4,4,4,8,8,1,3,3,3,3,2,2,4,2,2,2,1,1,1,3,2,3,2,1,1,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,2,4,4,4,4,1,6,2,2,2,2,2,2,4,4,4,8,8,1,4,3,2,1,1,1,1,2,2,2,2,4,2,
2,2,2,1,2,2,2,2,2,2,1,2,1,1,1,1,2,2,2,2,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,6,8,3,4,4,3,3,6,4,8,1,3,3,2,6,6,2,4,4,4,4,8,4,1,1,3,1,2,3,2,4,4,2,2,2,1,1,1,
2,2,1],[1,1,2,12,4,4,1,1,3,6,2,8,2,12,8,1,1,3,3,4,2,1,2,8,3,1,6,2,2,2,2,2,2,2,
12,2,2,2,1,1,3,3,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,10,16,4,5,2,3,1,8,8,2,2,12,8,32,1,2,1,1,4,2,1,3,1,2,4,2,4,2,2,
6,1,2,2,2,4,8,2,4,8,2,8,2,1,2,1,1,1,1,2,2,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,4,2,2,
2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,4,1,2,3,1,2,2,4,2,2,4,4,8,1,1,1,2,1,1,
2,1,2,4,2,2,2,2,2,1,2,4,4,2,2,4,2,2,2,1,1,1,1,1,2,1,1,2,1,2,1,1,1,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,2,8,12,1,1,1,2,2,4,6,6,12,8,1,2,3,2,3,4,1,2,2,2,1,1,1,6,6,
2,2,2,2,12,2,2,2,2,2,1,3,3,4,4,1,1,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,3,4,4,3,3,6,8,4,1,3,3,2,6,6,2,4,4,4,4,8,4,1,1,
1,3,3,2,2,4,2,2,2,4,1,1,1,2,2,1],[1,1,2,12,4,4,1,3,1,6,2,8,2,12,8,1,1,3,3,4,1,
3,6,1,2,2,8,2,2,2,2,2,2,2,2,12,2,2,1,1,3,3,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,4,8,4,1,2,4,2,2,2,4,4,2,8,4,4,8,
8,1,1,2,1,2,1,2,1,1,2,2,1,2,4,2,4,4,4,2,4,2,4,6,2,2,2,2,1,1,1,2,1,1,1,2,1,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,16,3,4,4,1,1,8,2,8,16,4,32,1,1,4,1,
2,2,2,2,4,4,4,2,4,8,8,8,2,4,8,4,4,4,1,1,1,2,2,1,2,1,2,2,2,2,2,4,2,4,2,2,4,4,4,
4,1,1,1,2,2,2,2,4,1],[1,1,10,4,12,4,5,2,2,6,8,1,1,2,2,2,4,8,28,4,16,2,1,4,1,1,
7,1,1,1,8,2,2,4,4,2,4,4,4,2,4,2,2,4,4,4,4,16,8,4,8,1,1,1,1,1,1,1,1,1,1,1,2,1,
1,2,1,2,1,1,4,1,1,1,2,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,
8,16,3,4,4,1,1,8,2,16,4,8,32,1,1,4,1,2,2,2,2,4,4,4,4,2,8,8,8,2,4,8,4,4,4,1,1,
1,2,2,1,2,1,4,2,2,2,2,2,4,2,2,2,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,2,16,8,1,1,1,
1,1,8,4,2,4,8,16,1,1,1,2,4,2,2,4,4,2,4,4,4,4,4,4,4,1,1,2,1,2,2,2,2,2,4,4,1,1,
1,2,2,1],[1,1,6,4,4,4,1,3,3,2,2,4,1,1,2,2,2,4,12,4,4,3,1,3,2,1,1,1,1,1,1,2,6,
2,2,2,4,2,2,4,2,2,2,4,4,4,4,1,1,1,2,2,1,3,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,
1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,4,8,4,1,2,2,4,8,2,4,4,4,8,8,1,
1,1,3,4,2,1,2,2,2,1,2,1,2,4,2,6,2,2,2,2,2,1,1,1,1,2,1,2,2,1,1,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,1,1,1,4,2,4,8,1,1,1,2,2,2,4,4,2,2,4,2,1,1,2,1,
2,2,2,1,1,1,1],[1,1,2,4,4,8,4,1,1,1,2,2,4,2,2,4,8,4,4,16,16,1,2,2,2,1,1,1,2,1,
2,2,2,2,4,4,4,4,2,2,2,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,4,4,2,2,1,1,1,1,1,1,1,1],[
1,1,2,8,1,2,2,2,4,4,8,1,2,2,2,2,2,2,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,4,
4,1,3,1,2,2,4,4,2,4,4,8,1,1,2,1,1,1,3,2,4,2,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,4,4,4,4,5,2,2,2,2,8,2,
2,2,4,4,4,8,8,1,2,1,2,4,1,1,1,1,2,2,2,2,4,2,2,2,2,1,2,2,2,2,2,2,8,8,1,2,1,1,1,
1,2,2,2,2,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,4,1,1,1,2,2,4,4,4,2,
2,8,8,4,8,32,1,2,4,2,2,1,2,1,1,2,2,2,1,1,1,4,2,2,2,4,2,2,2,2,4,2,2,2,2,8,8,8,
1,1,2,1,2,1,2,1,1,1,1,1,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,
2,1],[1,1,6,8,8,4,3,2,2,4,4,4,2,2,8,4,8,4,8,1,2,2,2,1,1,1,4,1,1,1,2,4,2,2,2,2,
4,4,2,2,2,2,8,8,1,1,1,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,
4,3,4,2,2,2,2,1,1,3,2,3,4,1,2,2,2,2,1,1,1,1,1,3,1,4,1,1,2,2,1,1,1,1,1,1,1,1],[
1,1,6,12,3,4,10,4,6,12,8,1,1,1,2,3,5,4,2,3,3,6,12,2,2,1,3,1,3,3,2,1,2,1,2,6,2,
2,2,1,1,1,1,1,1,1,1],[1,1,6,20,3,4,2,10,4,32,1,1,3,2,3,2,5,6,6,8,8,2,8,8,1,1,
3,1,2,2,2,1,4,2,4,2,6,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,1,3,2,2,2,2,4,2,4,4,8,1,
1,2,1,1,2,1,2,4,3,2,1,2,4,4,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,2,2,1,1,1,1,1,1,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,3,1,2,2,2,2,4,2,4,4,8,1,1,2,1,1,1,3,2,
2,1,2,2,4,4,4,2,2,2,2,2,2,2,2,2,2,1,1,1,1,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,2,8,16,1,2,4,8,4,4,8,16,1,2,4,2,2,4,4,2,4,4,2,8,8,1,1,1,2,2,2,
4,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,1,2,4,4,4,8,1,2,2,2,2,2,4,4,2,2,1,1,1,2,2,2,
2,1,1,1,1],[1,1,2,16,1,1,1,3,3,8,6,16,1,1,3,3,3,4,4,4,4,4,4,4,4,1,3,3,2,2,2,2,
4,4,1,1,1,2,2,1],[1,1,6,8,3,4,5,5,6,4,8,1,1,3,3,5,2,2,6,6,2,4,2,4,4,4,2,1,1,1,
3,2,3,1,2,2,2,1,4,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,1,1,1,4,4,1,1,8,2,8,8,16,
1,4,1,1,2,2,4,4,4,4,4,2,4,4,4,2,4,4,4,4,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,
1],[1,1,2,4,4,4,1,1,1,2,2,2,2,2,2,4,4,4,1,1,1,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1,2,2,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,2,4,8,4,1,2,2,4,8,2,4,4,4,8,8,1,1,1,3,4,2,1,1,2,1,2,2,2,2,2,
2,2,4,6,2,2,2,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,
4,8,4,1,1,1,2,2,2,2,4,2,4,2,4,8,8,4,4,1,2,2,2,2,2,1,1,1,2,1,2,4,2,2,2,4,4,4,2,
2,2,4,2,2,2,4,4,2,4,4,4,4,4,4,1,2,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,2,2,
1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,16,4,1,6,1,3,8,2,2,
12,8,1,4,1,3,2,1,3,1,6,8,2,2,2,2,1,2,2,2,2,12,4,2,2,1,2,1,1,3,3,4,4,1,1,2,1,2,
1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,4,8,12,1,2,2,4,4,
6,4,4,4,8,8,8,1,1,1,2,1,2,1,2,2,2,1,2,1,2,4,2,4,2,6,2,2,2,2,8,8,1,1,1,2,2,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,12,1,2,2,4,4,6,4,4,4,8,8,
8,1,1,1,2,1,2,1,1,2,2,2,1,2,2,4,2,4,6,2,2,2,2,2,8,8,1,1,1,2,2,1,1,1,2,1,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,8,12,1,2,2,2,1,1,4,2,2,6,4,8,8,4,12,
16,16,1,1,2,1,1,1,3,1,2,4,4,2,2,4,2,2,2,2,4,2,4,4,4,2,2,8,4,4,12,4,4,4,8,8,1,
1,1,1,1,1,1,1,1,1,1,2,1,3,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,4,4,4,4,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,6,8,4,4,3,1,1,4,4,2,2,2,24,4,4,16,1,1,1,6,1,1,8,2,2,
2,2,2,2,2,4,4,4,2,2,2,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,
1,6,8,8,3,4,4,4,8,8,1,3,3,3,3,2,2,4,2,2,2,1,1,3,1,2,3,2,1,1,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,6,4,4,8,12,3,2,2,4,2,2,4,2,6,4,8,8,4,12,16,16,16,16,1,2,2,1,1,3,1,
4,4,4,2,4,4,2,2,2,4,4,2,4,2,2,4,4,4,4,4,4,2,8,4,4,8,8,4,4,4,4,8,4,1,1,1,1,2,1,
1,1,1,3,2,1,1,1,2,1,1,1,1,1,2,2,1,1,2,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,2,1,
1,1,1,1,1],[1,1,2,16,4,1,6,3,1,8,2,2,12,8,1,4,1,3,2,1,3,1,2,8,6,2,2,2,1,2,2,2,
4,2,12,2,2,1,2,3,1,3,1,4,4,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,2,4,4,4,1,1,3,2,2,4,4,2,4,4,8,1,1,2,1,1,1,2,3,2,1,2,2,4,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,
12,4,4,1,3,1,6,2,8,2,12,8,1,1,3,3,4,1,3,8,6,2,1,2,12,2,2,2,2,2,2,2,2,2,2,1,1,
3,3,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,
1,2,8,4,1,2,3,1,4,2,4,2,4,4,8,1,1,1,2,2,1,1,1,2,4,2,2,2,2,2,1,2,2,2,4,2,2,2,1,
1,1,1,1,1,2,1,2,1,1,1,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,4,1,3,1,2,2,2,
2,4,2,4,4,8,1,1,2,1,1,1,3,2,4,2,2,1,2,4,2,2,2,4,2,2,2,2,2,2,2,1,1,1,1,2,2,1,1,
1,1,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,8,4,1,2,6,4,4,4,2,12,4,8,8,1,
2,1,3,1,2,1,1,1,2,2,2,4,2,2,8,2,4,6,2,2,2,2,8,1,2,1,1,2,1,2,1,1,1,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,6,3,4,3,3,4,10,1,5,3,2,6,6,2,2,1,1,1,3,2,3,1,2,1,
2,2,1,1,1,1],[1,1,2,4,4,4,1,3,1,2,2,4,4,2,4,4,8,1,1,2,1,1,1,3,2,2,1,2,2,4,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,
4,8,8,4,1,2,2,4,2,2,4,4,2,4,4,8,8,8,1,1,2,2,1,1,2,1,1,1,2,2,2,2,4,4,2,2,4,2,4,
6,2,2,4,2,4,1,1,1,2,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,
8,4,1,2,2,4,2,2,4,4,2,4,4,8,8,8,1,1,2,2,1,1,1,2,2,1,2,2,1,2,4,4,4,2,4,2,6,2,2,
4,2,2,4,1,1,1,1,1,2,2,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,12,
1,2,2,4,4,6,4,4,4,8,8,8,1,1,1,2,1,1,2,2,1,2,2,2,1,2,4,2,2,4,2,6,2,2,2,8,8,1,1,
1,2,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,8,4,1,2,2,4,8,2,4,
4,4,8,8,1,1,1,3,4,1,2,2,1,2,2,2,1,2,4,2,2,6,2,2,2,2,1,1,1,1,1,2,1,1,2,2,2,2,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,8,1,2,2,2,8,4,4,8,16,1,2,4,2,2,2,2,4,4,
4,4,4,8,8,1,1,1,2,2,2,4,2,4,4,1,1,1,2,2,1],[1,1,2,4,4,4,1,1,3,2,2,2,2,4,2,4,4,
8,1,1,2,1,1,1,2,3,2,1,2,2,4,4,2,2,4,2,2,2,2,2,2,2,2,1,1,1,1,2,1,2,1,1,1,1,1,1,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,8,1,2,2,2,8,4,8,4,8,16,1,1,1,2,2,2,4,2,
2,2,2,2,4,4,4,4,4,4,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,
1,2,4,4,16,12,1,1,1,2,2,2,2,8,6,6,4,8,4,4,8,32,32,40,1,2,1,1,2,2,2,1,1,1,4,1,
2,2,2,5,2,2,2,5,1,2,1,2,3,2,6,2,2,2,2,2,2,3,2,2,10,6,8,6,6,8,8,6,8,4,6,2,8,8,
16,16,1,1,1,1,1,1,1,1,1,2,2,2,2,1,2,2,1,2,5,2,2,1,2,2,1,1,2,2,2,2,2,1,2,1,1,2,
2,1,2,2,4,4,8,4,2,4,6,4,2,2,2,2,6,4,2,2,2,2,2,2,2,2,6,2,2,2,2,2,4,1,2,1,2,2,1,
1,1,1,2,1,2,2,2,2,2,2,2,2,1],[1,1,2,12,1,1,1,6,6,8,4,8,1,1,1,1,1,2,2,4,3,6,2,
2,3,2,6,4,2,1,1,1,2,1,1,2,2,1,1,1,1,1,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,
1,1,1,4,4,1,1,2,8,8,1,4,1,1,2,2,4,4,4,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,2,8,
1,2,4,4,8,4,1,2,2,2,2,2,4,2,4,2,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,16,1,1,1,1,1,8,
2,8,16,1,1,1,4,4,4,4,2,4,4,2,4,4,4,4,1,1,2,1,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[
1,1,6,16,8,3,4,2,2,8,4,8,16,24,1,1,1,3,1,3,1,4,2,4,2,6,6,2,4,4,6,6,4,2,4,1,1,
1,1,3,1,2,2,1,1,2,1,1,3,2,2,2,2,2,2,2,4,2,2,2,6,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
6,20,3,4,2,2,2,10,32,1,1,3,3,2,5,2,6,6,8,8,2,8,8,1,1,3,1,2,2,2,1,4,4,2,2,6,1,
1,1,1,1,1,1,1],[1,1,6,4,4,4,3,1,1,2,2,4,1,1,2,4,6,4,4,8,4,1,1,3,1,1,1,1,2,2,2,
2,2,4,2,2,2,2,2,2,4,2,2,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,1,2,1,2,
1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,3,4,2,2,4,1,1,3,2,3,4,
2,1,2,2,2,1,1,1,1,3,1,1,4,1,1,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,1,6,2,6,8,1,4,3,
3,1,3,2,2,2,2,4,1,2,1,1,1,4,2,2,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,20,3,4,2,10,
4,32,1,1,3,3,2,2,5,6,6,8,8,2,8,8,1,1,1,3,2,2,2,1,4,2,2,4,6,1,1,1,1,1,1,1,1],[
1,1,2,4,4,4,1,2,1,1,2,2,4,4,2,4,4,4,8,4,1,1,1,3,1,4,1,1,2,2,2,2,4,2,2,2,4,4,2,
4,2,4,4,2,2,4,2,2,1,1,1,1,1,1,1,1,2,1,1,4,2,2,1,2,1,1,1,1,2,3,1,1,1,2,2,2,2,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,4,12,1,2,1,1,4,4,1,1,2,2,2,6,8,4,4,
8,12,16,16,32,1,1,1,1,1,2,2,3,1,2,4,4,2,2,4,2,4,2,2,2,2,2,2,2,2,2,2,4,4,2,4,4,
2,2,4,4,8,8,8,4,8,4,8,8,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,2,
1,1,1,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,12,4,4,1,1,
3,6,2,8,2,12,8,1,1,3,3,4,1,2,3,1,6,2,8,12,2,2,2,2,2,2,2,2,2,2,1,1,3,3,4,4,1,1,
1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,1,1,
1,2,2,6,4,6,4,8,1,1,1,2,2,1,1,2,2,3,6,2,2,3,6,4,4,4,2,2,1,1,2,1,1,1,2,1,1,1,2,
1,2,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,4,12,4,8,3,1,1,2,6,4,1,1,2,4,2,4,4,4,
4,28,8,16,32,1,1,1,1,1,7,1,2,2,8,4,2,2,2,4,2,2,2,2,2,4,2,2,2,4,2,2,2,4,4,4,2,
2,4,2,8,8,4,4,4,8,4,8,4,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,1,
1,1,1,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,16,3,4,1,1,
8,4,6,16,32,1,3,4,1,2,2,2,8,8,8,4,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
2,2,1],[1,1,2,8,8,12,1,1,1,4,4,6,6,8,8,4,8,32,1,1,1,4,2,2,1,1,2,2,4,3,6,2,2,3,
4,2,6,4,2,4,8,8,8,1,1,1,1,2,1,2,1,2,1,1,1,1,2,1,2,4,2,2,2,2,2,2,2,2,2,2,2,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,4,8,4,1,2,4,2,2,2,4,4,2,8,4,4,8,8,1,1,2,1,2,1,
2,1,2,2,2,1,1,4,2,4,4,4,4,4,2,6,2,2,2,2,2,1,1,1,1,2,1,2,1,2,1,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,2,4,4,12,4,1,2,2,2,2,6,2,4,2,4,8,4,8,8,1,1,2,2,1,2,1,
1,1,2,4,2,2,2,2,1,2,2,2,2,2,2,2,4,2,8,8,1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,
1,1,1,1,1,1,1,1],[1,1,6,16,8,3,4,2,2,8,4,8,16,24,1,1,1,3,1,3,1,4,2,4,6,2,2,6,
4,4,6,6,4,2,4,1,1,1,1,1,3,2,2,1,1,2,1,1,3,2,2,2,2,2,2,2,4,2,6,2,2,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,6,8,8,3,4,4,1,1,4,2,8,24,16,1,1,2,1,6,8,2,2,2,4,4,4,4,2,4,8,
4,1,1,1,1,2,2,1,4,4,2,2,2,2,2,1,1,1,2,2,1],[1,1,10,8,5,2,4,8,24,12,2,1,4,6,8,
6,4,8,1,1,3,2,2,2,1,1,1,1],[1,1,2,12,8,4,1,2,6,4,4,4,2,12,4,8,8,1,2,1,3,1,1,2,
2,1,2,2,1,4,2,4,2,2,8,2,6,2,2,2,8,1,2,1,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,2,8,16,1,2,4,4,8,8,4,8,16,1,2,2,2,2,4,6,2,4,4,2,4,4,4,4,8,8,1,
1,1,1,1,4,2,2,2,2,2,4,2,2,4,1,1,1,1,1,1,1,1],[1,1,10,12,4,4,5,2,6,2,8,1,1,2,2,
2,28,8,4,4,16,2,1,4,1,1,1,7,1,1,8,2,2,4,4,4,4,2,4,2,2,4,4,2,4,4,4,8,4,16,8,1,
1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,2,1,1,1,4,1,1,1,2,1,4,4,4,4,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,1,6,8,8,8,3,4,4,1,1,4,4,2,4,8,8,8,8,16,16,1,1,2,1,2,2,2,4,
2,4,2,2,2,4,2,2,2,4,4,4,4,2,2,4,4,4,2,8,4,8,12,4,8,1,1,1,1,1,1,1,1,1,1,1,3,1,
1,1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,2,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,6,4,12,8,4,3,2,6,4,2,2,4,2,4,2,4,8,4,28,4,16,16,16,1,2,2,2,7,1,1,1,8,2,2,2,
2,4,4,2,2,2,4,2,6,2,4,4,4,2,2,4,4,4,6,4,4,4,4,4,4,4,8,8,4,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,2,1,1,3,1,1,2,1,1,1,1,2,1,1,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1],[1,1,2,8,8,4,12,1,2,1,1,4,4,1,1,2,2,2,6,8,4,4,8,12,16,16,32,1,1,1,
1,1,2,2,3,1,2,4,2,2,2,2,4,2,2,4,4,2,2,4,2,2,4,2,4,4,2,2,4,2,2,2,8,8,8,4,8,8,8,
4,4,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,
4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,16,1,2,4,8,4,8,4,16,1,2,4,2,2,
4,2,4,4,4,2,8,8,1,1,1,2,2,2,4,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,4,12,8,4,1,2,2,6,
1,1,4,2,6,2,4,8,4,12,4,16,16,1,3,2,1,3,1,1,1,4,2,2,2,8,4,2,2,2,2,2,4,4,4,2,2,
4,2,4,4,4,4,4,12,8,8,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,2,3,1,1,2,1,1,1,1,1,1,
1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,8,1,1,1,4,4,1,1,4,4,2,
4,8,8,4,8,8,16,16,32,1,4,1,2,2,1,2,2,2,2,2,2,4,2,4,4,2,4,2,2,2,2,4,2,2,2,4,4,
4,4,2,4,8,8,8,4,4,8,4,8,4,4,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,2,1,1,1,1,1,1,1,
1,1,1,2,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,4,4,16,4,
1,3,3,2,2,4,1,1,8,2,2,2,4,16,4,4,4,16,16,32,3,1,3,2,1,4,4,1,1,1,1,4,1,2,2,2,2,
4,4,2,4,2,2,2,2,4,4,4,8,8,8,8,2,4,8,4,4,4,4,8,4,1,2,1,1,1,1,1,1,1,2,2,1,1,1,1,
1,2,1,1,1,1,1,1,1,1,4,1,2,4,1,1,1,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,2,8,4,1,2,1,3,2,2,4,2,2,4,4,8,1,1,1,2,1,1,2,1,2,4,2,2,2,2,2,1,2,4,4,2,
2,2,4,2,2,1,1,1,1,1,2,1,1,1,2,2,1,1,1,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,4,1,
2,1,3,4,2,4,2,4,4,8,1,1,1,2,2,1,1,1,2,4,2,2,2,2,2,1,2,2,2,2,4,2,2,1,1,1,1,1,2,
1,1,1,2,1,1,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,2,4,4,4,1,1,2,2,3,4,2,4,1,
1,1,2,2,2,2,1,1,1,1],[1,1,2,4,8,12,1,2,2,4,4,6,4,4,4,8,8,8,1,1,1,2,1,2,1,1,2,
1,2,2,2,2,2,4,2,4,6,2,2,2,2,8,8,1,1,1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,10,8,12,4,5,2,1,1,4,8,1,1,6,2,2,2,12,4,24,4,16,32,2,1,1,4,1,3,1,
6,1,1,8,2,2,2,4,2,2,2,2,2,4,2,2,2,2,4,2,4,4,8,4,4,8,8,4,4,4,8,8,8,1,1,1,1,1,1,
1,1,1,1,2,1,2,1,1,1,1,2,2,1,1,2,2,1,1,1,1,1,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,1,6,8,8,8,3,4,4,1,1,4,4,2,4,8,8,8,8,16,16,1,1,2,1,2,2,2,4,
4,2,2,2,2,4,4,4,2,2,2,2,4,4,4,2,2,4,4,4,8,8,8,12,4,1,1,1,1,1,1,1,1,1,1,1,1,1,
2,1,1,1,1,1,2,1,2,1,1,3,1,1,1,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,2,24,1,1,1,1,1,12,2,8,4,16,1,1,2,2,1,6,2,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,
2,2,4,1,1,1,2,2,1],[1,1,6,4,3,4,2,2,4,1,1,3,4,3,2,2,1,2,2,2,1,1,1,1,1,3,1,4,1,
1,2,2,1,1,1,1,1,1,1,1],[1,1,2,1,1,1,1,1,2,8,1,1,1,4,4,4,4,4,1,1,2,1,2,2,2,1,1,
1,1],[1,1,2,8,8,8,8,1,2,4,4,2,2,4,4,4,8,8,4,8,8,16,16,32,1,2,2,2,2,2,2,2,4,2,
2,2,2,4,4,2,2,2,4,4,2,4,4,4,4,4,4,4,4,8,8,8,4,4,8,4,8,4,4,1,1,1,1,1,1,1,1,1,1,
2,1,1,1,1,2,2,1,1,1,2,1,2,1,1,1,1,2,1,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1],[1,1,6,8,4,4,3,1,1,4,4,2,2,2,2,4,2,8,4,8,4,1,1,2,1,2,2,1,1,2,2,2,4,2,
2,2,2,2,6,2,4,2,2,4,2,2,6,4,2,2,2,4,8,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,3,1,1,
1,2,1,1,1,1,1,1,1,2,1,1,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,4,4,
1,2,1,1,4,1,1,2,2,6,2,8,4,8,4,1,1,3,1,1,2,1,1,2,2,4,2,2,2,2,2,4,2,4,2,2,4,2,2,
4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,3,1,1,1,1,1,3,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1],[1,1,6,12,4,4,8,3,1,1,6,2,4,1,1,2,4,2,4,28,4,4,4,8,16,32,1,
1,1,1,1,1,7,2,2,8,2,2,2,2,4,2,2,4,2,4,2,2,2,2,4,4,2,2,2,4,2,4,4,2,2,4,8,8,8,4,
8,4,4,4,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,4,4,4,
4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,12,12,4,1,3,3,6,6,4,1,1,2,2,
2,28,4,28,4,32,3,1,3,6,1,1,7,7,1,1,8,8,14,2,2,2,4,2,4,4,2,2,4,2,2,4,2,4,8,8,4,
4,8,4,4,1,1,1,1,1,1,1,6,1,7,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,4,4,4,4,4,
4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,1,1,1,1,1,4,2,8,4,1,1,2,2,1,2,2,4,
4,2,2,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,10,16,4,5,2,1,3,8,8,2,2,12,8,32,1,2,1,1,2,
4,1,3,1,2,4,6,2,2,2,4,1,2,2,2,8,2,4,8,4,2,8,2,1,2,1,1,1,1,2,2,1,2,1,1,2,1,1,1,
2,2,2,2,2,2,2,4,2,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,4,8,4,1,2,6,2,1,
1,4,2,6,2,12,8,4,4,4,16,16,1,3,2,1,1,3,1,1,4,2,4,2,2,2,2,2,2,4,4,2,2,8,4,4,2,
2,4,4,4,8,4,8,4,12,1,1,1,1,1,2,1,1,1,1,1,3,2,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,
4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,12,4,1,3,2,3,2,6,2,6,2,8,12,
8,1,1,3,1,2,2,2,1,2,2,2,1,3,2,2,6,2,6,2,2,2,2,6,2,6,1,1,1,3,2,3,1,1,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,6,8,10,1,1,1,3,3,4,5,5,8,8,8,24,1,1,3,2,1,3,1,
1,3,5,3,3,3,3,2,2,1,2,3,2,2,2,2,2,1,3,1,1,2,6,1,1,1,1,1,3,1,1,1,1,1,3,1,2,1,3,
2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,2,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,3,4,4,12,4,1,5,3,2,6,2,6,2,8,12,8,1,1,3,1,2,1,2,2,2,2,2,1,2,3,2,6,2,6,2,
2,2,2,6,2,6,1,1,1,3,2,3,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,12,4,
1,5,3,6,6,2,2,2,8,12,8,1,1,3,1,2,1,2,2,2,1,6,2,2,2,3,2,2,2,2,2,2,2,6,6,6,1,1,
1,2,3,1,3,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,6,4,14,1,2,2,3,3,2,3,7,
8,8,8,24,1,1,2,2,3,1,2,1,3,3,1,2,3,3,3,1,2,3,1,2,3,2,2,1,3,1,1,4,4,6,1,1,1,1,
1,1,3,1,1,1,2,1,1,1,3,1,3,1,1,1,1,1,1,1,1,3,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,6,8,10,1,1,1,3,3,4,5,5,8,8,8,24,1,1,3,2,1,1,1,
3,3,5,3,3,3,3,2,2,1,2,3,2,2,2,2,2,1,3,1,1,2,6,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,3,
1,1,2,1,1,1,1,1,1,3,1,1,1,1,2,1,1,1,1,2,1,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,6,6,4,14,1,2,2,3,3,2,3,7,8,8,8,24,1,1,2,2,2,2,1,1,3,1,3,3,2,3,1,3,3,3,
1,2,3,4,2,1,3,1,1,2,4,6,1,1,1,1,1,1,1,3,1,1,2,1,1,3,3,3,1,1,1,1,1,1,1,1,1,1,2,
1,1,1,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,6,10,1,3,3,3,
3,5,5,24,3,1,3,1,5,3,3,5,5,3,5,5,3,1,3,1,3,1,1,6,6,1,1,1,1,1,1,5,3,3,3,1,1,3,
1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,3,4,4,12,4,1,3,2,3,6,6,2,2,2,8,12,8,1,1,3,1,2,2,1,2,1,6,2,2,2,2,3,2,2,2,2,2,
2,2,6,6,6,1,1,1,2,3,1,3,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,6,4,6,1,4,
3,3,2,7,3,24,1,1,1,1,1,2,5,3,3,5,3,2,3,5,3,1,3,2,4,2,2,2,1,3,1,1,6,1,1,1,1,1,
1,1,1,3,1,2,1,2,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,12,4,1,3,2,3,2,6,2,6,2,8,12,8,1,1,1,2,1,2,1,2,
2,2,2,4,1,2,3,2,2,2,2,2,2,2,2,2,6,2,4,2,4,1,1,1,1,2,2,1,2,1,1,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,3,4,4,12,4,1,1,4,3,6,6,2,2,2,8,12,8,1,1,1,2,1,2,2,1,4,2,
1,2,2,2,2,2,2,3,2,2,4,2,2,2,2,4,2,2,6,1,1,1,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,6,6,4,6,1,4,3,3,2,7,3,24,1,1,1,1,3,2,1,5,5,3,3,5,3,2,3,4,
1,3,2,2,2,1,3,1,1,2,6,1,1,1,1,1,3,1,2,1,1,1,2,1,1,3,3,1,1,1,1,1,1,1,1,1,3,1,1,
1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,3,4,4,12,4,1,3,2,3,
6,6,2,2,2,8,12,8,1,1,1,2,1,2,1,2,4,2,2,1,2,2,2,3,2,2,2,2,4,2,2,2,2,4,2,2,6,1,
1,1,2,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,3,4,4,12,4,1,1,4,3,2,
6,2,6,2,8,12,8,1,1,1,2,1,2,2,2,1,2,2,2,2,4,1,3,2,2,2,2,2,2,2,2,6,2,4,2,4,1,1,
1,1,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,12,4,1,3,3,3,3,6,2,
2,24,3,1,1,1,3,2,1,3,1,3,1,3,3,3,2,2,2,3,1,2,2,2,2,6,6,2,2,4,1,1,1,1,1,1,1,1,
1,2,3,1,1,3,1,1,1,1,2,1,1,1,2,2,1,1,1,1,2,1,3,1,1,1,1,3,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,6,6,10,1,3,3,3,3,5,5,24,3,1,3,1,3,5,3,3,5,5,5,5,3,1,3,1,3,1,
1,6,6,1,1,1,1,1,1,3,3,3,5,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,3,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,20,4,1,3,3,1,1,10,2,2,8,16,24,3,1,1,1,3,
1,2,2,5,1,2,3,3,3,2,2,3,1,4,2,2,2,2,6,6,2,2,1,1,1,1,1,3,2,1,1,1,1,1,1,1,1,3,1,
1,2,2,1,1,1,1,1,1,2,1,1,3,1,1,1,1,2,3,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,
5,8,3,5,8,1,4,3,4,1,1,2,1],[1,1,2,2,6,9,2,2,9,1,2,6,6,6,1,6,1,2,1],[1,1,12,2,
2,6,9,2,2,4,12,9,1,2,6,6,6,1,4,6,1,2,1],[1,1,2,2,9,2,2,9,1,6,6,1,1,1],[1,1,18,
2,2,1,9,9,2,2,6,12,6,9,1,2,2,6,6,6,6,1,1,1,6,6,1,1,1,1],[1,1,2,2,9,2,2,9,1,6,
6,1,1,1],[1,1,12,2,2,6,9,2,2,4,12,9,1,2,6,6,6,1,4,6,1,2,1],[1,1,2,2,6,9,2,2,9,
1,2,6,6,6,1,6,1,2,1],[1,1,6,6,2,2,1,3,3,2,2,2,2,6,6,3,1,2,1,1,2,3,3,1,2,2,1,3,
1,1,1,1],[1,1,6,6,18,2,2,3,3,9,36,2,2,2,2,6,12,6,6,6,9,1,1,1,6,6,3,3,6,6,6,6,
1,1,1,2,2,3,3,1,1,1,2,2,1],[1,1,2,2,1,3,3,2,2,3,1,1,2,1,2,3,3,1,1,3,1,1,1,1],[
1,1,18,2,2,3,3,9,2,2,6,12,6,9,1,1,1,3,6,3,6,1,1,1,3,3,1,1,1,1],[1,1,10,1,5,5,
1,5,5,5,1,2,5,1,1,1,1,1,1,1],[1,1,18,4,9,6,24,4,6,2,9,18,12,9,6,1,4,1,3,1],[1,
1,18,16,9,6,24,16,6,2,9,18,12,9,6,8,12,1,1],[1,1,6,4,1,3,3,6,6,4,3,3,3,1,6,6,
3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,16,3,4,6,6,12,8,16,1,1,1,3,
3,2,3,3,6,12,4,8,3,3,3,6,4,4,4,8,1,1],[1,1,6,24,4,1,3,3,12,24,4,8,8,3,1,3,3,3,
6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,10,4,5,10,4,16,10,15,10,8,4,5,
10,1,4,1,1,2,1],[1,1,6,24,4,3,4,12,24,4,16,1,3,3,6,12,6,4,8,3,1,3,6,6,1,4,3,1,
2,1],[1,1,6,16,3,4,3,3,6,16,1,3,3,6,6,4,1,3,3,4,1,1,1],[1,1,6,24,4,3,4,12,24,
4,16,1,3,3,6,6,6,6,8,4,1,3,6,6,3,1,4,3,1,2,1],[1,1,6,12,4,3,4,2,6,24,4,1,1,3,
3,3,6,6,6,6,4,8,1,3,2,3,6,1,4,1,1,2,1],[1,1,6,4,3,4,4,1,3,1,3,3,4,1,3,3,1,4,1,
1,1],[1,1,14,4,1,7,7,12,4,8,7,3,4,9,12,4,4,4,1,3,4,3,4,1,4,1,1,1,1,1],[1,1,6,
24,4,3,4,12,24,4,16,1,3,6,3,6,6,6,8,4,1,3,6,6,3,1,4,3,1,2,1],[1,1,6,4,3,4,12,
4,1,3,3,6,6,4,3,1,3,1,4,3,1,1],[1,1,6,12,4,3,4,6,6,4,8,3,1,3,3,3,3,3,6,6,4,4,
4,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,4,1,6,6,6,4,8,8,3,4,3,6,3,6,6,4,4,4,
1,6,3,3,6,1,4,3,1,1,1,1],[1,1,6,4,3,4,4,1,3,3,3,1,4,1,3,3,1,4,1,1,1],[1,1,6,
12,4,3,4,6,6,4,8,3,1,3,3,3,3,3,6,6,4,4,4,3,3,1,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,
12,4,3,4,2,6,24,4,1,1,3,3,3,6,6,6,6,4,8,1,3,2,3,6,1,4,1,1,2,1],[1,1,6,4,3,4,
12,4,1,3,3,6,12,6,4,8,3,1,3,6,6,1,4,3,1,2,1],[1,3,12,16,1,3,6,3,6,16,3,3,3,6,
6,6,4,1,3,3,4,3,1,1],[1,3,12,16,1,9,3,6,16,3,3,3,6,6,6,4,1,3,3,4,3,1,1],[1,1,
6,4,3,4,6,6,4,1,3,3,6,6,4,3,1,3,1,4,3,1,1],[1,1,2,12,4,1,6,6,6,4,8,8,3,4,3,6,
3,6,6,4,4,4,1,6,3,3,6,1,4,3,1,1,1,1],[1,1,6,36,1,1,3,3,3,3,18,72,1,6,6,6,3,1,
3,3,9,9,9,9,9,18,18,1,1,1,3,3,3,3,24,1,3,3,9,9,9,9,1,1,3,3,3,3,3,3,3,3,3,6,3,
1,1,1,3,3,3,3,1],[1,1,6,6,6,4,1,1,1,3,3,3,3,24,4,1,3,1,3,3,3,3,3,3,3,3,6,4,4,
4,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,2,4,1,1,1,3,3,6,4,8,1,1,3,3,3,4,4,4,1,3,3,
1,4,1,1,1],[1,3,4,12,16,1,3,3,6,6,12,16,1,3,3,6,6,6,6,4,1,3,3,4,1,1,1],[1,1,6,
12,4,1,6,3,3,6,4,8,1,3,3,3,6,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,
6,12,12,4,1,3,6,3,6,24,4,8,8,1,3,3,3,3,6,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,
1,1],[1,1,6,4,1,15,3,4,3,3,1,3,6,3,6,3,3,4,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,6,4,7,3,9,4,3,1,9,9,3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,12,6,4,1,
6,6,3,3,4,8,1,6,3,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,
6,1,3,3,6,4,8,1,3,3,3,6,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,4,7,
3,9,4,3,1,9,9,3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,1,3,6,9,4,
8,3,1,3,3,3,6,3,6,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,4,7,3,9,4,3,1,9,
9,3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,1,3,6,9,4,8,3,1,3,3,6,
3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,12,4,1,3,6,3,6,24,4,8,8,
1,3,3,3,6,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,6,4,1,2,3,3,3,3,
24,4,1,1,3,3,3,3,3,3,3,3,3,6,4,8,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,6,6,6,4,1,
2,3,3,3,3,24,4,1,1,3,3,3,3,3,3,3,3,3,6,4,8,1,1,1,3,3,3,3,1,4,1,1,1,1,1],[1,1,
2,12,4,1,1,1,6,6,12,4,8,1,3,3,4,6,6,12,4,4,4,1,3,3,4,4,1,4,1,1,1,1,1],[1,1,2,
12,4,1,1,1,6,6,12,4,8,1,3,3,4,6,6,12,4,4,4,1,3,3,4,4,1,4,1,1,1,1,1],[1,1,24,6,
4,1,12,3,3,24,4,8,8,6,1,3,3,3,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,
6,4,1,6,6,3,3,4,6,1,3,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,4,1,3,1,1,1,1],[1,1,18,
4,1,9,9,4,8,3,1,9,9,3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,4,1,9,9,
4,8,3,1,9,9,3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,4,7,3,9,4,3,1,9,9,
3,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,4,1,12,6,4,8,8,3,3,4,3,6,6,
6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,3,12,16,1,3,3,6,6,16,3,3,6,3,6,6,4,1,3,3,
4,3,1,1],[1,1,6,12,4,6,1,3,3,6,4,8,1,3,3,3,6,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,
3,1,1,1,1],[1,1,12,6,4,1,6,6,3,3,4,8,1,3,6,3,3,3,3,6,3,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,1,6,12,4,1,3,3,6,6,4,8,3,1,3,3,6,3,6,6,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,1,2,12,4,1,6,6,6,4,8,8,4,3,3,6,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,
1,1,1],[1,3,4,12,16,1,3,3,6,6,12,16,1,3,6,3,6,6,6,4,1,3,3,4,1,1,1],[1,1,6,12,
12,4,1,3,6,3,6,24,4,8,8,1,3,3,3,3,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,2,24,4,1,6,12,24,4,8,8,8,4,3,3,3,6,6,6,4,4,4,16,1,3,6,6,3,1,4,3,1,1,1,1],[
1,1,6,12,4,1,3,6,9,4,8,3,1,3,3,6,6,3,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,6,12,4,1,6,3,3,6,4,8,1,6,3,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,
1],[1,1,6,6,6,4,1,1,1,3,3,3,3,24,4,1,3,1,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,
3,1,4,1,1,1,1,1],[1,1,2,12,4,1,1,1,6,6,12,4,8,1,3,3,4,6,6,12,4,4,4,1,3,3,4,4,
1,4,1,1,1,1,1],[1,1,18,12,4,3,1,9,6,24,4,8,8,1,3,3,3,3,6,3,6,3,4,4,4,1,3,3,3,
3,3,3,1,4,3,1,1,1,1],[1,1,2,12,4,1,6,6,6,4,8,8,3,4,3,3,6,6,6,4,4,4,1,3,3,6,6,
1,4,3,1,1,1,1],[1,1,6,12,12,4,1,3,6,3,6,24,4,8,8,1,3,3,3,3,3,6,6,3,4,4,4,1,3,
3,3,3,3,3,1,4,3,1,1,1,1],[1,1,30,4,1,3,15,24,4,16,1,6,6,3,3,3,3,3,3,4,8,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,3,1,6,3,6,4,8,3,1,3,3,3,3,6,3,6,4,4,4,3,1,
3,3,3,3,3,1,4,3,1,1,1,1],[1,3,12,16,1,3,3,6,6,16,3,6,3,3,6,6,4,1,3,3,4,3,1,
1],[1,1,6,12,4,3,6,1,3,6,4,8,3,1,3,3,3,6,3,3,6,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,
1,1],[1,1,6,4,3,7,3,6,4,3,1,3,3,6,3,6,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,6,12,4,1,3,6,9,4,8,3,1,3,3,3,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[
1,1,6,12,4,1,3,3,1,1,6,24,4,3,1,1,3,3,3,3,3,3,6,6,4,4,4,1,1,1,3,3,3,3,1,4,1,1,
1,1,1],[1,1,2,12,4,1,6,6,6,4,8,8,3,4,3,6,3,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,
1],[1,1,2,12,4,1,12,6,4,8,8,3,3,4,3,6,6,6,4,4,4,1,3,3,6,6,1,4,3,1,1,1,1],[1,1,
18,4,3,1,9,6,4,8,1,3,3,3,6,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,
12,4,3,1,9,6,24,4,8,8,1,3,3,3,3,6,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,2,12,4,1,6,1,1,6,12,4,8,4,1,3,3,6,6,12,4,4,4,1,3,3,4,4,1,4,1,1,1,1,1],[1,1,
18,4,3,1,9,6,4,8,1,3,3,6,3,3,6,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,
4,3,7,3,6,4,3,1,3,3,6,3,6,3,3,4,4,4,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,2,6,4,
1,3,3,1,1,3,3,4,8,8,3,1,1,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,3,1,4,1,1,1,1,
1],[1,1,2,2,6,4,1,3,3,1,1,3,3,4,8,8,3,1,1,3,3,3,3,3,3,3,3,6,4,4,4,1,1,1,3,3,3,
3,1,4,1,1,1,1,1],[1,1,2,12,12,4,3,1,6,3,6,24,4,8,4,4,8,1,3,6,3,3,3,3,3,6,4,4,
4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,4,18,12,1,2,1,2,3,9,6,24,1,2,4,4,4,1,
1,1,3,3,6,6,3,6,3,6,1,2,2,1,1,2,2,8,1,3,3,3,3,3,3,2,1,1,1,1,1,1,1,2,2,2,3,1,1,
1,1,1,1,1,1],[1,1,18,4,1,9,9,4,4,4,1,3,3,9,9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,12,12,6,4,1,6,6,3,3,24,4,8,8,1,6,3,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,
3,1,4,3,1,1,1,1],[1,1,2,4,1,1,1,3,3,6,4,8,1,1,3,3,3,4,4,4,1,3,3,1,4,1,1,1],[1,
1,2,12,1,1,1,1,3,3,6,1,2,2,2,1,3,1,1,3,3,3,3,3,6,1,1,1,1,1,1,1,1,3,3,3,3,3,3,
1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1],[1,1,14,4,3,7,9,4,8,8,1,3,3,9,9,3,3,
4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,8,12,4,3,6,4,4,3,3,6,12,6,24,12,
48,4,8,4,4,8,1,3,6,3,3,8,3,6,6,6,6,6,6,12,12,12,12,12,1,4,4,4,8,8,1,3,3,3,3,3,
3,12,12,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,20,4,3,10,4,6,6,6,36,4,8,8,1,3,9,3,
8,3,12,12,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,12,12,6,4,1,6,6,3,
3,24,4,8,8,1,6,3,3,3,3,3,3,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,1,1,
3,3,6,6,1,6,4,3,1,3,3,6,3,6,6,1,3,3,2,2,1,3,3,3,3,3,3,1,3,1,3,1,1,1,2,2,3,1,1,
1,1,1,1,1,1],[1,1,2,24,4,1,3,3,12,24,4,8,8,8,1,3,3,6,6,6,6,4,4,4,16,1,3,3,6,6,
1,4,3,1,2,1],[1,1,6,8,8,4,1,3,3,4,4,4,24,24,4,8,8,3,1,3,4,6,6,8,8,12,1,4,4,4,
1,1,1,6,6,1,2,2,4,1,1,1,1,1],[1,1,14,4,3,7,9,4,8,8,1,3,3,9,9,3,3,4,4,4,1,3,3,
3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,12,4,1,3,3,6,6,4,12,12,12,4,8,8,3,1,3,6,3,3,
6,6,12,12,1,4,4,4,1,3,3,3,3,3,3,1,4,2,2,3,1,1,1,1],[1,1,4,18,1,2,1,5,9,6,24,1,
4,2,4,1,1,1,3,6,6,3,6,3,6,3,1,2,1,2,1,2,2,8,1,3,3,3,3,3,3,2,1,1,1,1,1,1,1,2,2,
2,3,1,1,1,1,1,1,1,1],[1,1,4,18,12,1,2,1,3,2,9,6,24,1,4,2,4,4,1,1,1,3,3,6,3,6,
6,3,6,1,2,1,2,1,2,2,8,1,3,3,3,3,3,3,2,1,1,1,1,1,1,1,2,2,2,3,1,1,1,1,1,1,1,1],[
1,1,2,24,1,1,1,1,2,2,12,24,1,4,4,2,1,1,1,2,2,6,6,6,6,1,1,2,2,1,2,2,8,1,3,3,6,
6,1,1,1,1,2,1,1,1,2,2,2,3,1,1,1,1,1,1,1,1],[1,1,12,2,12,4,3,6,1,3,6,24,4,8,4,
4,8,1,3,3,6,3,3,3,3,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,12,4,1,3,
3,4,3,3,6,6,6,12,4,4,4,3,1,3,3,3,3,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,
1,1,1,1],[1,1,18,12,1,3,2,3,9,6,1,6,4,1,1,1,3,9,6,9,3,6,1,3,3,2,2,1,3,3,3,3,3,
3,1,1,3,3,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,4,18,1,2,1,5,9,6,24,1,2,4,4,1,1,1,
3,6,6,3,6,3,6,3,1,2,2,1,1,2,2,8,1,3,3,3,3,3,3,2,1,1,1,1,1,1,1,2,2,2,3,1,1,1,1,
1,1,1,1],[1,1,2,12,12,4,3,1,6,3,6,24,4,8,4,4,8,1,6,3,3,3,3,3,3,6,4,4,4,8,8,1,
3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,1,3,5,9,6,1,6,1,1,1,9,6,3,6,9,3,1,3,3,2,2,
1,3,3,3,3,3,3,1,3,1,1,3,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,18,4,1,9,9,4,4,4,1,3,
9,3,9,3,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,12,1,1,1,1,5,5,6,6,6,1,
2,2,2,4,1,1,1,5,2,3,3,3,3,3,6,6,6,3,3,6,6,6,6,6,12,1,1,1,1,1,1,1,2,2,2,2,1,6,
3,3,3,3,3,3,6,6,6,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,3,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,14,4,3,7,9,4,8,8,1,3,3,9,3,9,3,4,4,4,1,3,3,3,3,3,3,1,4,3,1,
1,1,1],[1,1,6,8,12,12,4,3,4,6,4,3,3,6,24,6,12,12,48,4,8,4,4,8,1,3,3,6,3,8,3,6,
6,6,6,6,6,12,12,12,12,12,1,4,4,4,8,8,1,3,3,3,3,3,3,12,12,1,1,1,2,2,4,3,1,1,1,
2,2,1],[1,1,6,20,4,3,10,4,6,6,36,6,4,8,8,1,3,9,3,8,3,12,12,12,1,4,4,4,1,3,3,3,
3,3,3,1,2,2,4,3,1,1,1,1],[1,1,12,2,12,4,3,6,1,3,6,24,4,8,4,4,8,1,3,6,3,3,3,3,
3,6,4,4,4,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,18,12,1,3,3,2,9,6,1,6,4,1,1,1,
3,9,9,6,3,6,1,3,3,2,2,1,3,3,3,3,3,3,1,3,3,1,1,1,1,2,2,3,1,1,1,1,1,1,1,1],[1,1,
18,1,3,5,9,6,1,6,1,1,1,9,6,3,6,9,3,1,3,3,2,2,1,3,3,3,3,3,3,1,1,3,3,1,1,1,2,2,
3,1,1,1,1,1,1,1,1],[1,1,14,4,3,7,9,4,8,8,1,3,9,3,3,9,3,4,4,4,1,3,3,3,3,3,3,1,
4,3,1,1,1,1],[1,1,2,24,12,1,1,1,1,12,6,6,24,1,4,4,2,4,1,1,1,6,3,6,3,6,6,6,1,1,
2,2,1,2,2,8,1,3,3,3,3,3,3,1,1,1,1,1,2,1,1,2,2,2,3,1,1,1,1,1,1,1,1],[1,1,6,1,1,
3,3,2,2,1,6,3,1,1,1,2,2,1,3,1,1,3,3,2,2,1,1,1,1,1,1,1,1,3,1,1,3,1,1,2,2,1,1,1,
1,1,1,1,1,1],[1,1,6,12,4,1,3,3,6,6,4,4,4,3,1,3,3,6,3,6,6,4,4,4,1,3,3,3,3,3,3,
1,4,3,1,1,1,1],[1,1,2,2,12,6,4,1,1,1,6,3,3,4,12,12,24,4,8,8,1,3,1,3,3,3,6,3,3,
3,3,3,8,8,4,1,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,10,15,6,10,5,6,10,6,5,
1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,10,15,6,10,5,6,10,6,5,1],[1,1,30,10,15,
20,6,10,10,10,5,6,12,5,10,6,5,1,1],[1,1,6,8,8,24,24,1,3,3,6,6,4,4,4,12,12,12,
24,24,24,24,32,96,96,96,3,3,3,1,6,6,3,4,4,4,6,6,6,6,6,6,6,8,8,8,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,
24,24,24,24,24,48,48,64,64,1,1,3,1,3,3,3,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,1,3,3,3,
3,4,4,4,6,6,6,6,6,6,6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,1,3,3,4,4,6,6,12,12,
12,1],[1,1,6,8,8,48,1,3,3,4,4,4,6,6,24,12,24,48,24,96,3,1,3,4,6,12,12,6,6,6,
12,8,8,12,12,12,24,24,24,24,24,24,24,24,48,48,48,48,48,48,1,1,1,3,3,6,4,6,6,6,
6,6,6,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,1,3,3,4,6,6,6,6,6,6,
8,8,12,12,12,24,24,1,3,3,4,4,1],[1,1,30,8,8,1,15,15,4,4,60,24,24,24,15,15,20,
45,60,4,6,6,8,8,12,12,48,48,15,1,1,15,20,45,60,6,6,6,6,6,12,12,12,12,6,10,15,
1,3,6,6,6,6,12,12,1,3,3,4,4,1],[1,1,30,24,1,15,15,2,2,60,12,24,96,15,1,1,15,
20,2,2,45,4,60,4,6,6,6,12,12,12,12,24,24,24,24,15,1,15,20,3,45,4,4,4,4,4,60,6,
6,6,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,24,24,6,10,15,2,3,3,4,4,4,4,4,6,6,6,
6,6,6,8,12,12,12,12,12,12,12,1,1,1,4,4,4,4,6,6,1],[1,1,14,24,1,7,7,12,6,6,12,
12,12,24,7,3,4,2,9,12,6,6,6,6,6,8,12,12,12,12,12,12,12,12,24,24,24,24,24,24,1,
3,4,2,2,3,3,3,3,3,4,6,6,6,6,6,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,24,
1,2,2,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,1,3,3,6,6,6,6,1],[1,1,
2,12,12,12,1,6,1,1,6,6,6,6,6,12,12,12,12,12,4,2,1,3,6,3,6,3,3,6,8,6,6,6,12,6,
6,6,12,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,2,2,3,3,6,3,3,3,
3,3,3,3,3,3,3,6,3,3,4,4,4,4,4,4,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,1,1,1,3,2,6,3,3,3,3,3,6,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,
3,3,3,3,3,3,6,6,1],[1,1,6,8,8,1,3,3,4,4,4,24,24,3,1,3,6,6,4,6,6,8,8,12,12,1,1,
1,6,6,3,6,3,6,6,6,6,1,3,3,6,6,6,6,1,3,3,1],[1,1,10,5,10,6,6,12,10,2,15,10,6,6,
6,8,12,12,5,2,2,3,3,10,6,6,12,6,12,12,1,3,6,3,6,6,6,1,3,3,1],[1,1,2,8,16,1,6,
4,2,2,4,4,8,8,16,2,4,3,4,4,2,2,4,2,4,8,4,4,4,4,4,4,8,8,8,8,8,1,1,1,2,2,4,2,2,
2,2,2,2,8,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,14,
24,1,7,7,2,2,12,12,24,16,96,7,1,1,3,4,2,2,9,12,6,6,6,12,12,12,8,12,24,24,24,8,
24,1,1,3,4,3,3,4,4,6,4,6,4,6,6,6,6,8,8,12,4,4,4,12,12,24,24,1,2,3,3,2,4,4,2,6,
2,2,8,4,4,4,8,1,1,1,2,2,1],[1,1,14,8,8,1,7,7,4,4,12,24,8,24,7,3,4,9,4,12,4,4,
6,6,8,8,12,4,8,16,16,1,1,1,3,4,3,4,4,2,6,2,6,2,6,6,4,4,4,12,4,4,4,4,1,1,1,4,4,
2,2,2,2,2,2,2,6,4,4,4,1,1,1,2,2,1],[1,1,14,8,1,7,7,12,2,2,4,4,4,8,7,3,4,9,12,
2,2,2,2,4,4,4,4,4,4,8,8,8,16,1,3,4,1,1,1,1,3,4,2,2,2,2,4,4,4,4,4,4,8,8,8,1,1,
1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,14,8,1,7,7,12,2,2,4,4,4,8,7,3,4,9,12,2,2,
2,2,4,4,4,4,4,4,8,8,8,8,8,1,3,4,1,1,1,1,3,4,2,2,2,2,4,4,4,4,4,4,4,4,8,8,1,1,1,
1,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,16,1,6,4,2,2,4,4,8,8,16,2,4,3,4,4,2,
2,4,2,4,8,4,4,4,4,4,4,8,8,8,8,8,1,1,1,2,2,4,2,2,2,2,2,2,8,4,4,4,4,4,4,4,4,8,8,
1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,14,8,1,7,7,12,2,2,4,4,4,8,7,3,4,9,
12,2,2,2,2,4,4,4,4,4,4,8,8,8,8,8,1,3,4,1,1,1,1,3,4,2,2,2,2,4,4,4,4,4,4,4,4,8,
8,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,14,8,1,7,7,12,2,2,4,4,4,16,8,7,3,4,
9,4,12,4,2,2,2,2,4,4,4,8,4,4,4,8,8,8,1,3,4,1,1,1,1,3,4,4,2,2,2,4,4,6,4,2,6,4,
4,4,4,12,4,4,1,1,1,1,1,1,2,1,4,4,6,4,4,4,4,4,1,1,1,2,2,1],[1,1,14,24,1,7,7,12,
2,2,12,4,12,24,32,7,3,4,9,12,4,4,2,2,6,6,8,12,4,4,12,12,12,12,12,8,8,24,24,8,
1,3,4,3,1,1,3,3,4,4,4,6,2,6,2,8,4,12,12,4,4,12,4,4,4,4,12,12,12,8,8,8,24,8,24,
1,1,3,1,1,1,1,4,6,2,2,6,2,12,4,4,4,4,4,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,1,14,8,
1,7,7,12,6,6,4,12,4,8,7,3,4,9,12,6,6,2,2,4,12,12,4,4,4,8,8,8,8,1,3,4,1,3,3,1,
3,4,4,2,6,2,6,4,12,4,4,4,4,4,4,4,4,1,1,1,3,1,1,1,4,2,4,4,4,4,4,4,4,1,1,1,2,2,
1],[1,1,6,32,8,1,3,3,4,4,4,16,4,4,32,8,8,32,32,3,2,2,1,4,4,3,8,8,2,8,2,4,4,8,
8,8,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,8,8,8,8,8,16,16,2,1,1,4,1,2,2,2,4,2,4,2,4,2,
2,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,
1,2,1,1,1,1,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,
1,6,8,8,16,1,3,3,4,4,4,2,2,8,4,24,16,24,32,3,1,3,4,4,4,2,4,4,2,6,6,4,8,8,4,4,
12,8,8,8,8,8,8,8,8,8,16,16,1,1,1,1,1,2,4,2,6,2,6,2,2,2,2,4,4,4,4,4,4,4,4,4,4,
8,8,8,8,1,1,1,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,1,3,3,2,2,4,6,
6,4,12,8,8,3,1,1,1,2,2,3,4,4,6,2,2,6,2,4,4,4,12,12,4,4,8,8,1,1,3,3,1,4,4,6,2,
2,2,2,2,2,2,6,2,2,4,4,12,4,4,4,4,1,3,1,4,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,2,2,
1],[1,1,10,16,8,5,2,4,8,8,4,4,4,8,48,2,2,1,4,4,2,2,12,2,16,4,4,4,4,4,4,8,8,8,
8,8,16,2,1,1,1,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,
4,4,1,1,1,2,2,1],[1,1,14,8,8,24,8,1,7,7,2,2,4,4,12,2,2,12,4,4,4,24,24,8,24,8,
32,32,96,7,1,1,3,4,2,2,9,12,4,2,6,6,2,6,6,2,6,2,8,8,4,4,12,12,12,4,4,4,12,4,4,
4,4,4,4,4,12,4,4,4,8,8,8,8,8,8,8,8,8,8,8,24,8,24,24,24,8,16,16,16,16,16,16,16,
16,1,1,1,1,3,4,1,1,1,3,1,3,4,2,2,2,2,2,2,2,2,6,6,2,2,2,6,2,2,6,6,6,2,6,2,6,8,
8,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,12,4,4,4,4,4,4,8,8,8,8,8,8,8,
8,8,8,24,8,24,8,8,8,16,16,16,16,1,1,2,1,1,3,1,3,1,1,1,1,4,4,2,2,2,2,2,2,2,2,2,
2,2,6,2,2,2,2,2,2,2,2,2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,
1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,1],[1,1,14,16,8,1,7,7,4,4,12,2,2,8,4,4,4,16,8,
32,7,2,2,3,4,4,4,9,4,12,4,2,4,4,2,2,4,2,4,4,8,8,8,4,4,4,4,4,4,4,8,4,8,8,8,8,8,
8,8,8,8,1,2,3,4,1,1,1,2,1,3,4,4,4,4,4,4,2,2,2,4,2,4,4,2,2,4,4,4,8,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,1,1,1,2,1,1,1,1,1,1,1,1,4,2,2,
2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,8,1,
7,7,12,2,2,4,4,4,8,7,3,4,9,12,2,2,2,2,4,4,4,4,4,4,8,8,8,8,8,1,3,4,1,1,1,1,3,4,
2,2,2,2,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,1,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,40,
1,3,3,2,2,4,2,2,20,4,40,8,64,3,1,1,1,2,2,3,2,10,10,2,10,4,4,4,4,4,4,4,8,8,16,
16,16,8,16,16,16,16,16,1,1,1,1,5,2,2,2,2,2,2,2,4,2,4,2,4,4,4,4,4,4,8,4,8,4,8,
8,8,8,8,8,8,8,8,8,1,1,2,1,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,1,1,1,2,2,4,4,
1],[1,1,2,8,1,6,4,6,6,4,12,2,4,2,3,4,2,6,6,6,8,4,4,4,4,12,8,8,1,2,2,3,3,4,6,2,
6,2,12,4,4,4,4,4,8,8,3,1,1,6,2,2,6,2,4,4,1,1,1,2,2,1],[1,1,2,8,1,6,4,6,6,4,12,
2,4,2,3,4,2,6,6,6,8,4,4,4,4,12,8,8,1,2,2,3,3,4,6,2,2,6,4,4,4,12,4,4,8,8,3,1,1,
6,2,2,6,2,4,4,1,1,1,2,2,1],[1,1,14,8,1,7,7,12,2,2,4,4,4,32,8,7,3,4,9,12,2,2,2,
2,4,4,4,16,4,4,4,8,8,8,1,3,4,1,1,1,1,3,4,2,2,2,8,8,8,2,4,4,4,4,4,4,1,1,1,1,1,
1,4,1,8,4,4,1,2,2,2,1],[1,1,6,8,8,8,8,1,3,3,2,2,4,4,4,4,4,4,24,8,24,8,32,32,3,
1,1,1,2,2,3,4,4,4,2,2,6,6,2,2,2,8,8,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,8,8,8,
8,8,8,16,16,1,1,1,1,1,1,1,4,2,2,2,2,2,2,2,6,2,2,2,2,2,6,2,2,2,2,4,4,4,4,4,4,4,
4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,8,8,1,1,1,2,2,2,2,4,1],[1,1,6,16,24,1,3,3,4,8,12,12,16,8,24,32,32,3,1,3,
4,4,4,4,4,4,6,4,6,8,12,4,12,12,12,12,12,24,8,24,8,8,8,16,16,1,3,2,3,4,4,4,6,6,
2,2,2,2,2,2,2,8,12,4,12,12,4,4,4,4,12,12,4,4,12,8,8,24,8,8,24,3,1,1,1,1,4,6,2,
2,6,2,2,4,12,4,4,4,4,4,4,4,8,1,1,1,2,2,2,2,4,1],[1,1,14,16,16,8,1,7,7,8,8,12,
2,2,4,4,4,48,16,48,8,64,7,3,4,9,12,8,2,2,12,12,2,2,16,16,4,4,4,24,8,4,4,4,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,32,16,16,32,16,1,2,2,3,4,1,1,1,1,3,4,2,2,2,2,
4,2,12,4,2,4,12,2,2,2,2,2,2,4,4,4,8,4,4,4,8,4,4,8,4,4,4,8,4,4,4,4,4,4,4,8,8,8,
8,8,8,16,16,16,16,1,2,1,1,1,1,1,2,1,2,4,2,2,2,2,2,2,4,4,2,2,2,2,4,2,4,4,4,4,4,
4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,2,1,2,2,2,2,2,4,4,4,4,1],[1,1,10,
16,8,5,2,4,8,8,4,4,4,48,8,2,2,1,4,4,2,2,12,2,16,4,4,4,4,4,4,8,8,8,8,8,16,2,1,
1,1,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,
2,1],[1,1,14,32,8,1,7,7,12,2,2,16,4,4,4,32,8,64,7,3,4,9,4,12,4,2,8,8,2,2,8,2,
4,4,4,4,4,4,8,8,16,8,16,16,16,16,16,16,16,1,3,4,1,1,1,4,1,3,4,4,2,2,2,2,4,2,2,
4,4,8,4,4,4,8,4,8,8,8,8,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,1,2,1,1,1,2,2,2,2,2,4,4,
4,4,4,4,4,4,4,8,4,4,4,8,1,1,1,2,2,2,2,2,2,1],[1,1,14,8,1,7,7,12,2,2,4,4,4,8,7,
3,4,9,12,2,2,2,2,4,4,4,4,4,4,8,8,8,16,1,3,4,1,1,1,1,3,4,2,2,2,2,4,4,4,4,8,8,8,
4,4,1,1,1,1,1,1,1,4,4,4,4,4,1,2,2,2,1],[1,1,10,16,8,5,2,4,8,8,4,4,4,48,8,2,2,
1,4,4,2,2,12,2,16,4,4,4,4,4,4,8,8,8,8,8,16,2,1,1,1,4,2,2,2,2,2,2,2,4,4,4,4,4,
4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,30,8,1,15,15,60,2,2,
4,4,4,8,15,15,20,45,60,2,2,2,2,4,4,4,4,4,4,8,8,8,8,15,15,20,1,1,1,1,45,60,2,2,
2,2,4,4,4,4,4,4,4,4,4,8,8,8,8,6,10,15,1,1,1,1,1,1,2,2,2,4,4,4,4,4,4,4,4,8,1,1,
1,2,2,2,2,2,2,1],[1,1,10,16,8,5,2,4,8,8,4,4,4,8,48,2,2,1,4,4,2,2,12,2,16,4,4,
4,4,4,4,8,8,8,8,8,16,2,1,1,1,4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,2,
2,2,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,2,8,8,16,1,2,4,4,8,4,8,8,8,8,8,32,1,2,4,2,
2,2,2,2,2,2,4,2,4,6,2,4,8,4,8,4,8,4,4,4,8,16,8,8,1,2,1,1,2,2,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,1,2,4,4,8,4,8,8,8,8,8,32,1,4,2,2,2,2,2,2,2,2,
4,2,4,6,2,8,4,8,8,4,4,4,4,4,8,8,8,16,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,14,16,8,1,7,7,12,8,4,4,16,16,8,32,7,3,4,9,2,12,2,4,4,2,4,2,4,8,4,
4,4,8,8,8,8,4,8,16,16,1,3,4,1,2,1,3,2,4,2,2,4,4,1,4,2,1,2,4,4,4,2,4,4,2,2,2,4,
4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,1,1,2,4,2,4,2,4,2,2,2,2,2,2,4,2,4,4,1,1,1,1,1,
1,1,1],[1,1,14,8,8,8,8,1,7,7,2,2,4,4,12,4,4,4,24,8,8,24,8,32,32,7,1,1,3,4,2,2,
9,2,12,2,4,2,2,6,6,2,2,2,8,8,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,4,
16,16,16,16,1,1,1,1,3,4,1,1,1,3,2,2,2,2,2,4,2,2,2,2,2,2,2,2,6,2,2,2,1,2,2,2,6,
2,1,2,2,4,4,4,4,4,2,4,2,2,2,2,2,4,2,4,2,4,4,4,8,8,4,4,4,8,8,8,8,4,8,8,8,8,1,1,
1,1,1,2,1,2,2,1,2,2,2,2,2,2,1,1,2,2,1,1,2,2,4,2,2,2,2,2,4,2,2,4,2,2,2,2,4,8,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,6,16,16,16,8,1,3,3,8,8,4,4,4,8,4,8,4,32,16,8,32,8,
32,32,32,64,3,1,1,3,8,4,4,3,4,4,8,8,2,4,2,8,8,2,4,4,16,4,4,4,2,8,8,8,12,12,4,
8,12,8,8,12,8,4,12,4,8,12,12,4,8,8,8,8,8,8,8,8,8,8,12,8,16,16,16,8,8,8,16,8,
24,16,8,24,1,1,1,1,1,1,2,2,1,4,3,2,2,2,3,6,2,1,1,2,8,3,2,2,2,1,2,2,2,2,2,2,6,
2,2,4,4,2,4,4,2,6,2,2,2,2,6,2,2,4,4,2,4,4,2,6,4,2,4,2,6,2,2,2,2,4,8,8,8,8,8,8,
8,4,8,8,4,4,8,8,4,8,8,8,8,8,8,8,16,8,8,16,16,8,8,8,8,16,8,8,8,8,1,1,1,1,2,1,3,
2,2,2,2,1,1,2,1,1,1,2,2,2,1,1,1,2,2,2,1,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,
2,2,2,4,2,4,2,2,2,4,2,2,2,2,6,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,8,8,1,1,1,2,
1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1],[1,1,2,12,12,12,16,1,6,1,1,6,6,2,2,6,4,8,8,
12,12,12,12,16,32,32,64,4,1,3,4,3,2,3,3,4,2,4,8,4,6,6,2,12,6,4,2,4,2,4,4,2,4,
4,4,4,4,8,8,4,4,4,4,4,8,8,8,4,4,4,8,4,4,8,12,8,8,4,4,16,16,16,16,16,16,16,16,
16,16,16,1,1,1,2,2,2,2,2,1,1,1,1,2,3,2,1,3,2,3,2,2,2,1,3,1,2,2,2,1,4,4,4,8,4,
4,6,2,4,2,4,4,2,6,4,4,2,2,4,4,4,2,2,2,2,4,2,4,4,4,2,2,4,4,4,4,4,8,8,4,8,8,8,8,
8,8,8,8,8,8,8,8,1,1,2,1,1,1,2,2,2,2,1,2,2,1,3,1,1,1,2,1,2,1,1,1,1,1,2,4,2,2,4,
2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,4,4,2,2,2,2,2,4,2,4,2,2,4,2,2,2,4,2,2,2,2,2,4,2,
2,2,2,2,1,1,2,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1],[1,1,2,8,16,8,1,2,4,4,8,4,4,
4,8,8,8,8,32,2,1,2,2,2,2,2,2,4,4,4,4,4,4,8,4,8,4,8,4,4,4,4,8,8,8,16,1,1,1,2,1,
1,1,2,1,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,20,4,12,8,5,2,1,1,10,2,8,2,2,6,8,8,
4,52,12,12,4,8,32,32,32,2,1,1,4,4,3,2,1,13,2,4,4,16,2,2,4,4,2,4,4,6,6,4,6,4,4,
4,2,16,8,4,4,8,4,8,4,8,8,4,8,4,8,16,4,12,4,8,8,4,4,4,8,8,8,8,8,16,8,8,8,24,8,
16,24,2,1,1,1,1,2,2,1,2,2,1,3,2,3,1,1,1,1,2,2,4,2,1,2,1,2,2,2,3,2,4,4,4,2,6,2,
4,2,2,2,4,4,2,2,2,2,6,2,2,2,6,6,4,2,2,2,4,4,2,4,4,4,6,4,4,8,4,8,8,4,8,4,8,8,4,
8,8,8,8,8,8,8,8,1,1,2,1,1,1,1,1,1,1,2,1,1,2,2,1,1,1,2,1,2,2,2,2,2,1,2,3,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,4,4,2,4,4,
2,2,2,4,2,1,1,1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1],[1,1,6,8,8,16,16,1,3,3,4,4,
4,2,2,8,8,4,8,8,16,16,8,16,32,32,32,32,3,1,3,4,2,4,4,2,2,2,4,4,4,4,4,4,4,8,8,
8,4,4,4,4,8,8,8,4,4,4,8,8,12,4,4,4,4,4,8,8,8,8,8,8,4,4,4,8,8,4,24,8,8,16,24,8,
16,8,8,8,16,16,8,1,1,1,2,1,2,2,3,2,2,4,1,2,2,2,2,2,2,4,2,3,2,1,3,2,2,1,2,1,4,
4,4,2,2,6,2,6,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,4,6,4,4,4,4,4,2,4,6,4,6,4,4,8,8,
4,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,2,1,2,2,1,1,1,2,1,2,2,1,1,2,3,2,1,1,2,1,2,2,
2,2,2,2,4,2,2,2,4,2,2,2,4,2,2,4,2,6,4,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,
2,2,2,4,2,2,2,2,4,1,1,1,2,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1],[1,1,6,16,16,8,16,
1,3,3,2,2,8,8,4,2,2,4,8,4,8,32,8,8,32,16,32,32,96,3,1,1,1,2,2,3,8,2,2,2,2,8,8,
4,2,4,8,4,8,4,4,8,4,4,4,8,16,4,8,8,8,8,8,8,4,4,8,8,4,12,4,8,8,4,4,4,8,8,12,4,
4,4,4,8,4,8,8,8,8,4,4,12,4,8,24,24,16,8,8,16,24,8,8,16,16,8,1,1,1,1,1,1,1,1,2,
2,3,2,2,4,4,4,3,2,2,2,6,4,2,2,2,2,4,8,2,2,1,1,1,1,2,2,3,4,4,4,4,4,4,4,2,2,2,2,
4,2,2,6,8,4,8,2,2,2,2,2,2,2,2,4,2,2,2,8,2,2,4,8,4,4,2,4,2,4,4,2,4,8,12,12,12,
12,8,12,8,8,8,8,8,8,8,8,12,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,2,1,1,3,3,1,2,
2,4,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,1,1,1,2,3,1,1,2,4,4,4,4,2,4,2,2,2,2,2,2,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,4,4,2,2,2,2,2,2,4,2,8,
1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,1],[1,1,6,32,8,1,3,3,4,4,4,16,4,
8,4,32,8,64,3,1,1,3,4,8,3,8,4,2,8,2,2,4,4,4,4,2,4,4,16,16,8,8,16,16,16,8,16,
16,16,1,1,1,1,4,1,4,3,2,1,4,2,2,4,2,2,2,2,2,2,2,4,8,8,2,8,8,8,8,8,4,4,8,4,4,8,
8,8,8,1,1,2,1,2,1,2,2,1,1,1,2,4,2,2,4,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,
1],[1,1,10,16,5,10,2,2,4,8,8,16,10,15,10,4,2,4,2,4,8,4,4,8,8,8,12,5,1,1,2,2,
10,2,2,2,2,8,4,4,6,4,8,8,4,4,1,1,2,3,2,2,2,4,4,4,4,2,1,1,1,2,2,1],[1,1,6,16,8,
1,3,3,4,4,4,2,2,8,4,4,4,16,8,8,32,3,2,2,1,4,4,3,2,2,2,4,4,2,2,4,2,4,4,8,8,8,4,
4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,8,4,8,2,1,1,1,1,2,1,2,2,2,2,2,4,2,1,4,2,4,2,1,
4,4,4,8,4,4,4,4,4,4,2,4,2,4,2,2,4,4,4,4,4,4,4,4,4,4,8,8,4,8,8,8,8,4,4,4,8,1,2,
1,1,1,1,2,1,2,1,1,2,1,1,2,2,1,2,2,4,4,2,2,2,4,4,4,4,2,2,4,2,2,2,4,1,1,1,1,1,1,
1,2,2,2,2,1],[1,1,10,4,20,12,8,5,2,1,1,2,10,8,2,2,6,8,8,4,4,12,12,52,8,32,32,
32,2,1,1,4,4,3,2,13,1,2,4,16,4,4,2,2,4,4,6,4,4,6,4,2,2,4,4,6,4,4,16,8,4,8,8,4,
8,4,4,8,4,4,12,8,8,8,4,4,4,16,8,8,8,8,8,8,8,24,16,8,8,24,16,8,2,1,1,1,1,2,1,2,
2,3,1,4,2,1,4,1,2,3,1,1,2,2,1,2,1,2,2,2,3,2,2,4,4,4,2,2,2,2,2,4,2,4,4,6,2,2,6,
4,6,6,6,2,2,2,4,2,2,2,2,4,4,4,2,8,8,4,4,4,8,8,8,8,4,4,4,8,8,8,8,8,8,8,8,1,1,1,
2,1,1,1,2,2,2,2,1,1,2,1,2,1,2,3,1,1,1,2,2,1,1,2,1,2,2,4,4,4,4,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,6,2,2,2,4,2,2,1,1,2,2,1,1,
1,1,1,2,2,2,2,2,2,2,2,2,2,1],[1,1,6,16,8,1,3,3,4,8,4,4,16,8,8,32,3,1,3,4,4,4,
4,2,4,2,4,4,4,4,4,8,8,8,8,8,8,1,1,2,1,4,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,
4,4,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,1],[1,1,2,8,16,8,1,2,
4,4,8,4,4,4,8,8,8,8,32,2,1,2,2,2,2,2,2,4,4,4,4,4,4,4,8,8,4,8,4,4,4,4,8,16,8,8,
1,2,1,1,2,2,1,1,1,1,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,1,2,4,4,8,4,8,8,8,
8,8,32,1,4,2,2,2,2,2,2,2,2,4,2,4,6,2,4,8,8,4,8,4,4,4,4,8,16,8,8,1,2,1,1,2,1,1,
2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,16,8,1,2,4,4,8,4,4,4,8,8,8,8,32,2,1,
2,2,2,2,2,2,4,4,4,4,4,4,4,8,8,4,8,4,4,4,4,8,16,8,8,1,2,1,2,1,2,1,1,1,1,2,2,2,
2,2,4,4,2,2,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,6,8,8,24,1,3,3,4,4,4,12,12,8,8,8,24,32,32,3,1,3,4,4,4,
2,2,6,6,8,12,4,4,12,12,12,12,12,4,4,24,24,4,4,8,8,8,8,8,8,8,1,3,3,4,4,6,6,1,2,
2,1,1,1,8,2,2,2,12,2,2,2,12,2,12,2,2,2,2,12,12,12,2,4,4,4,4,4,4,4,4,4,24,4,4,
24,4,3,4,1,6,1,1,1,1,1,6,1,1,2,2,12,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,
1,1,2,2,2,2,1],[1,1,6,16,1,3,3,4,2,2,8,4,8,16,3,1,3,2,2,4,4,4,4,4,8,8,4,4,12,
4,4,8,4,4,4,4,8,1,1,1,1,2,3,2,2,4,2,1,1,4,4,2,2,2,2,2,4,4,4,2,4,4,4,2,4,4,1,1,
2,1,1,1,1,2,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,8,8,5,2,4,8,2,2,4,8,
8,4,8,2,2,1,4,4,4,2,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,4,4,4,1,1,1,1,4,2,1,2,2,
2,2,1,2,3,2,2,4,4,4,2,2,6,2,2,4,4,4,4,4,4,1,1,1,1,2,1,2,1,1,2,2,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,10,8,8,5,2,4,8,2,2,4,8,8,4,8,2,2,1,4,4,4,2,2,2,4,4,4,
4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,1,1,1,1,4,2,1,2,2,2,2,2,1,3,2,2,2,2,6,4,2,2,4,4,
4,4,4,4,4,4,1,1,1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,16,
1,3,3,4,2,2,8,4,8,16,3,1,3,4,4,2,2,4,4,4,4,4,8,8,4,4,4,12,4,4,8,4,4,4,1,1,1,1,
4,2,3,2,2,4,2,2,1,2,1,4,4,2,2,2,2,2,4,2,2,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,2,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,6,4,2,2,4,4,2,4,3,4,2,2,2,4,4,4,4,4,8,
8,8,1,1,1,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,8,8,8,1,6,4,4,2,2,
8,4,8,8,8,4,3,2,2,2,2,2,2,2,8,4,2,4,6,2,4,4,4,4,4,4,4,8,4,8,4,4,1,1,1,1,2,2,1,
1,1,4,2,4,2,4,2,4,2,2,2,2,2,2,4,2,4,4,4,4,4,4,4,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,1,6,2,2,8,4,16,4,3,2,2,4,2,2,4,8,4,4,8,8,8,1,
1,1,4,2,4,4,4,4,2,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,4,12,12,8,1,2,1,5,2,6,2,
2,6,12,4,4,4,4,12,16,16,16,2,1,1,2,2,2,1,2,3,1,4,4,2,4,4,2,6,4,4,10,8,4,2,2,2,
4,6,4,6,2,6,4,4,4,4,4,12,4,4,8,4,8,8,4,4,4,12,4,8,4,4,1,1,2,2,2,3,1,3,1,2,1,1,
1,1,1,4,4,2,2,2,2,2,2,4,4,2,2,2,6,4,2,2,2,2,2,2,4,2,2,2,4,4,2,2,2,2,4,2,8,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,
2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,
1,2,24,1,6,2,2,8,8,12,16,4,3,2,2,4,2,4,2,4,10,2,4,6,2,4,8,8,4,8,8,4,4,4,1,1,1,
2,2,2,2,2,2,8,2,4,2,4,2,2,2,4,2,4,4,4,4,4,4,4,4,1,2,1,1,1,1,2,2,2,2,4,2,2,2,2,
4,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,1,2,4,4,8,4,8,8,8,8,8,32,1,2,4,2,2,2,2,2,2,2,
4,2,4,6,2,4,8,4,8,8,4,4,4,4,8,8,8,16,1,1,1,1,2,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1],[1,1,2,4,12,4,1,2,1,1,2,6,2,2,2,8,4,4,4,12,1,1,4,1,2,3,1,4,4,2,2,6,4,2,
2,2,4,6,4,4,4,4,4,4,4,4,12,4,4,4,1,1,2,3,1,3,1,1,1,1,1,1,2,4,4,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[
1,1,10,24,5,10,4,2,2,12,4,48,2,10,15,6,10,2,6,2,2,12,4,4,12,4,8,12,12,4,8,8,5,
1,1,6,2,10,6,6,4,6,4,6,12,6,4,2,6,4,4,4,4,4,4,4,4,4,12,4,4,1,1,1,1,2,2,1,2,6,
1,1,2,2,2,2,2,6,6,2,6,2,4,4,4,4,1,2,1,1,2,2,2,2,2,1],[1,1,14,16,8,1,7,7,12,8,
4,4,16,8,32,7,3,4,9,6,12,6,4,4,2,4,2,4,4,4,4,8,8,8,8,4,8,1,3,4,1,2,1,3,6,4,2,
2,7,2,7,2,4,4,14,4,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,4,4,2,1,7,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,2,2,2,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,8,1,7,7,12,2,
2,4,4,4,8,7,3,4,9,12,2,2,2,2,4,4,4,4,4,4,8,16,1,3,4,1,1,1,1,3,4,2,2,2,2,8,8,8,
4,4,4,4,4,4,1,1,1,2,2,2,2,4,4,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,10,8,5,
2,4,8,4,4,4,16,2,2,1,4,4,2,2,2,4,4,4,8,4,4,4,8,4,1,1,1,4,4,2,2,4,4,4,4,4,4,1,
1,1,2,2,2,2,1,1,1,1],[1,1,6,8,8,24,8,1,3,3,2,2,4,4,4,2,2,12,4,4,4,24,24,24,8,
32,32,32,3,1,1,1,2,2,3,2,2,4,2,6,6,2,6,6,2,6,2,8,8,4,4,4,4,4,4,4,4,12,4,4,4,4,
4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,4,8,8,16,16,16,16,1,1,1,1,1,1,1,3,1,2,2,2,2,
2,2,2,2,2,6,2,2,1,2,2,6,2,2,2,1,2,2,2,4,4,4,4,4,4,2,2,2,4,2,4,4,4,4,4,4,4,4,8,
8,4,8,8,4,4,8,8,8,8,4,8,4,8,8,4,8,8,8,1,1,1,1,1,2,1,2,2,2,1,2,2,2,1,2,1,1,2,2,
1,2,2,2,2,2,2,2,2,4,2,4,2,4,2,2,2,2,4,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,16,8,
1,3,3,4,8,4,4,16,8,8,32,3,1,3,4,4,2,4,2,4,4,4,4,4,4,8,8,8,4,8,4,4,8,16,16,1,1,
2,1,2,2,2,2,2,2,2,4,2,2,4,4,2,4,4,4,4,2,4,4,4,4,4,1,1,1,1,2,1,1,2,1,2,4,4,2,2,
2,1,1,1,1,1,1,1,1],[1,1,10,16,5,2,8,2,2,12,8,8,8,2,1,4,2,2,4,2,2,4,4,2,4,4,2,
4,6,2,4,4,4,8,12,4,4,8,4,1,1,1,1,2,1,2,2,2,1,3,2,2,2,2,2,6,2,2,4,2,4,4,4,4,4,
4,4,4,4,1,1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,1,2,
4,2,2,4,12,4,8,8,8,1,2,4,2,2,2,2,4,4,2,4,2,4,6,2,4,4,4,4,4,4,4,8,8,4,4,4,4,1,
1,2,2,1,2,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,12,12,8,1,2,5,1,2,6,2,2,6,
12,4,4,4,4,12,16,16,16,2,1,1,2,2,2,1,2,3,1,4,4,2,4,6,2,4,8,6,4,2,2,4,6,2,4,4,
6,2,4,10,4,4,4,4,4,4,4,4,4,8,12,8,8,8,4,4,12,4,4,4,1,1,2,2,2,3,1,3,1,1,1,1,2,
1,1,4,4,4,2,2,2,2,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,4,4,2,4,2,2,2,2,4,2,6,4,8,4,4,
4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
6,8,8,8,8,1,3,3,2,2,4,4,4,4,4,4,4,8,4,8,8,16,8,8,3,1,1,1,2,1,2,3,4,4,2,3,2,4,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,2,8,8,4,4,12,8,4,8,8,4,12,4,4,
8,4,4,4,8,8,4,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,4,3,2,2,2,2,2,1,2,2,1,2,3,4,2,2,1,
2,2,2,2,2,3,2,2,2,2,2,4,2,8,2,4,2,4,4,4,4,4,2,2,2,2,2,2,2,2,2,4,4,2,4,4,2,2,4,
4,6,2,2,2,2,8,2,2,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,1,1,2,1,1,2,2,1,3,2,1,2,1,1,2,
1,2,1,1,2,2,2,4,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,2,6,2,2,2,2,2,2,4,2,2,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,1],[1,1,2,8,16,1,2,4,4,2,2,8,8,8,8,8,2,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,8,8,4,4,4,4,4,1,1,2,1,2,1,2,2,1,1,1,2,2,2,2,4,2,4,2,4,2,2,4,2,2,4,4,4,4,4,4,
4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,16,1,2,4,4,
2,2,8,8,8,8,8,2,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,4,4,4,1,1,2,2,1,
2,1,1,1,2,1,2,2,2,2,4,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,4,4,20,8,5,2,1,5,2,2,8,10,8,4,4,4,12,4,
4,16,16,16,32,2,2,1,1,4,4,2,2,2,2,3,1,1,2,2,4,4,2,6,8,4,6,8,4,2,2,2,4,6,4,4,6,
2,2,4,12,4,8,4,8,8,4,8,4,4,8,8,4,8,4,8,8,8,8,1,1,1,2,4,2,1,1,1,2,1,1,1,1,1,2,
2,2,2,2,2,2,4,2,4,2,2,6,4,2,4,2,2,4,2,2,4,2,2,2,2,4,4,2,2,2,2,2,4,8,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,10,
4,4,20,8,5,2,5,1,2,2,8,10,8,4,4,4,12,4,4,16,16,16,32,2,2,1,1,4,2,4,2,2,2,3,1,
1,2,2,4,6,2,4,4,8,2,4,2,2,4,6,2,4,8,6,2,4,6,4,4,4,8,12,8,8,8,4,8,4,4,8,4,8,4,
8,8,8,8,1,1,1,2,4,2,1,1,1,1,1,1,2,1,2,1,2,2,2,4,2,2,2,2,2,4,2,2,2,2,2,4,4,2,2,
4,2,2,4,2,4,2,4,2,2,2,2,4,6,4,8,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,8,4,4,4,4,4,4,
4,4,4,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,
4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,8,8,1,3,3,4,4,4,4,4,8,8,8,8,32,3,1,3,
4,4,4,2,2,2,2,4,4,4,4,4,4,4,8,4,4,4,8,8,8,8,8,8,8,1,1,1,4,2,2,1,2,2,2,1,1,2,1,
2,2,2,2,2,2,2,4,2,2,2,4,4,2,2,4,4,4,4,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,1,
1,1,1,1,1,1,1],[1,1,6,8,8,8,1,3,3,4,4,4,4,4,8,8,8,8,32,3,1,3,4,2,2,2,2,4,4,4,
4,4,4,4,4,8,4,4,8,8,8,8,8,8,8,8,1,1,1,2,2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,4,2,4,
4,2,4,4,2,4,4,4,4,1,1,2,1,1,1,2,1,1,1,2,1,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,
8,1,3,3,4,4,4,4,8,4,8,3,1,1,3,4,4,4,3,4,2,2,2,4,4,4,4,2,4,4,8,8,8,1,1,1,1,4,1,
4,3,2,2,1,2,2,2,2,2,2,2,2,2,2,4,4,2,4,4,4,4,1,1,1,2,1,2,2,1,1,2,1,2,2,2,2,2,2,
1,1,1,2,2,1],[1,1,2,4,12,12,16,1,2,5,1,2,6,6,8,4,8,4,4,4,12,8,16,16,16,32,2,1,
1,2,2,2,2,1,3,1,2,2,2,4,4,6,2,4,8,2,4,2,2,8,6,2,4,4,6,2,4,6,4,8,4,4,4,8,12,8,
8,8,4,4,4,4,4,4,8,8,8,8,8,8,1,2,2,1,1,1,1,1,2,1,2,1,1,2,1,1,2,2,4,2,2,2,2,2,2,
2,4,2,2,2,2,4,2,2,2,2,4,4,2,4,2,2,2,2,2,2,4,6,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,4,4,8,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,32,8,1,3,3,4,2,2,
16,4,4,4,32,8,8,64,3,1,3,2,2,2,8,8,2,2,8,2,4,4,4,4,4,4,4,16,8,16,16,4,16,16,
16,16,16,16,16,1,1,1,1,4,1,2,2,2,2,2,2,1,2,4,2,1,4,4,2,2,2,2,8,4,8,4,4,4,4,8,
8,8,4,8,4,8,8,4,4,1,1,2,1,2,2,2,2,1,1,4,2,4,2,2,2,4,4,2,2,2,2,4,4,1,1,1,1,1,1,
1,1],[1,1,6,16,16,1,3,3,4,4,4,2,2,8,8,4,8,16,16,32,3,2,2,1,4,4,3,2,4,4,2,4,4,
4,4,4,4,4,8,8,8,4,4,4,8,8,8,4,4,8,8,4,12,4,4,8,8,8,4,4,4,8,8,2,1,1,1,2,1,2,3,
2,2,4,4,2,4,4,1,1,4,4,4,2,2,4,8,4,4,4,4,2,2,2,4,4,2,2,4,4,4,4,4,4,4,4,4,4,4,8,
4,8,4,4,4,8,8,4,8,4,8,4,4,8,4,1,1,2,1,1,2,1,1,1,1,1,1,1,2,2,2,4,4,2,4,2,4,4,4,
2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,10,5,10,2,2,4,10,15,
10,2,2,4,8,4,8,5,1,1,10,4,4,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,14,32,8,1,7,7,
4,4,12,16,4,4,32,8,32,96,7,2,2,3,4,4,4,9,2,12,2,8,8,2,8,2,4,4,16,16,16,4,4,4,
4,4,16,4,8,8,8,8,24,8,24,24,8,4,24,8,1,2,3,4,1,4,1,3,2,2,2,2,2,4,2,2,8,1,8,8,
6,1,6,8,8,8,4,16,4,4,4,4,2,4,2,2,4,2,2,2,4,2,2,12,4,12,4,4,4,4,4,4,4,4,4,8,4,
4,4,8,4,4,4,4,8,8,4,8,4,24,4,8,4,4,4,4,24,8,1,2,1,4,1,1,3,4,4,2,1,1,2,6,1,1,1,
1,8,2,2,2,4,2,4,2,2,2,2,4,2,4,4,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,14,40,1,7,7,2,2,
12,2,2,20,4,40,128,7,1,1,3,4,2,2,9,2,12,2,2,10,10,2,10,12,12,12,4,4,12,32,32,
32,4,32,16,16,16,16,1,1,3,4,1,1,5,3,2,4,2,6,1,6,6,8,2,1,8,6,8,8,12,4,4,2,4,4,
2,2,2,16,16,8,4,4,8,8,8,8,4,8,24,4,24,1,2,3,1,4,4,4,1,2,1,1,6,1,2,1,1,8,2,2,2,
2,4,2,2,4,2,2,2,2,2,2,2,4,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,4,12,16,1,2,1,
5,6,2,6,8,4,8,12,4,4,4,8,16,16,16,32,2,1,1,2,2,2,2,1,1,3,2,2,2,4,4,2,6,4,4,6,
8,4,2,2,2,8,6,4,6,2,4,2,4,4,12,4,4,4,8,8,4,8,8,4,4,4,8,4,8,8,8,8,8,8,1,2,2,1,
1,1,1,2,1,1,1,2,2,1,1,1,2,2,2,2,2,2,2,2,4,4,2,2,6,4,2,2,2,2,2,4,2,4,4,2,2,2,2,
2,2,2,4,2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,1,1,1,1,
1,1,1,1,1,1,1,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,
1,1,1,2,2,2,2,1],[1,1,2,12,4,12,16,1,2,5,1,6,2,6,8,4,8,12,4,4,4,8,16,16,16,32,
2,1,1,2,2,2,2,1,1,3,2,2,2,4,6,2,4,8,2,4,2,2,4,6,4,2,4,4,6,2,8,6,4,4,4,4,4,8,8,
12,8,8,8,4,4,4,4,4,8,8,8,8,8,8,1,2,2,1,1,1,1,1,1,1,2,2,2,1,1,1,2,2,4,2,2,2,2,
2,2,2,2,4,2,2,2,4,2,2,2,2,4,4,2,2,4,2,2,2,2,4,2,6,4,8,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,4,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,8,1,3,3,4,4,
4,6,6,12,8,8,8,3,1,3,4,6,6,2,2,12,12,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,1,3,3,4,6,
1,1,2,2,1,6,1,2,2,12,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,3,4,1,1,1,1,1,1,2,2,2,2,2,
2,2,4,4,4,4,1,1,1,2,2,1],[1,1,6,8,8,1,3,3,4,4,4,2,2,4,8,8,8,3,1,3,4,4,4,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,1,1,4,2,1,2,1,2,2,1,2,2,1,2,2,2,2,2,2,
4,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,
2,12,4,12,8,1,2,1,5,6,2,2,2,6,12,4,12,4,4,4,16,16,16,2,1,1,2,2,2,1,2,1,3,4,4,
2,4,4,2,6,4,4,6,8,4,2,2,6,4,10,4,6,2,2,12,4,4,4,4,4,12,4,4,4,8,4,8,8,4,4,4,4,
8,4,1,1,2,2,2,1,3,1,2,1,1,1,1,1,3,4,4,2,2,2,2,2,2,4,2,4,2,2,6,4,2,2,2,2,2,4,2,
2,2,4,4,2,2,2,2,2,4,2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,
1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,
1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,4,12,8,1,2,5,1,6,2,2,2,6,12,4,12,4,4,4,16,
16,16,2,1,1,2,2,2,1,2,1,3,4,4,2,4,6,2,4,8,2,4,2,2,4,10,6,4,4,6,2,4,6,12,4,4,4,
4,4,4,4,4,4,4,8,12,8,8,8,4,4,4,4,1,1,2,2,2,1,3,1,1,1,1,2,1,1,3,4,4,4,2,2,2,2,
2,2,2,4,2,2,2,2,4,2,2,2,2,2,4,4,2,2,2,4,2,2,2,4,2,6,4,8,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,8,4,4,8,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,4,4,1,2,1,1,
6,2,2,2,2,8,12,4,4,4,1,1,4,1,2,1,3,4,4,2,2,2,4,2,6,6,4,2,12,4,4,4,4,4,4,4,4,4,
4,4,1,1,2,1,3,1,1,1,1,1,1,2,3,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,
1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,4,4,1,2,1,1,6,2,2,2,
2,8,12,4,4,4,1,1,4,1,2,1,3,4,4,2,2,2,4,2,6,6,4,2,12,4,4,4,4,4,4,4,4,4,4,4,1,1,
2,1,3,1,1,1,2,1,1,1,3,4,4,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,1,6,4,4,2,2,8,4,8,8,8,4,3,
2,2,2,2,2,2,2,8,4,2,4,6,2,4,4,4,4,4,4,8,4,8,4,4,4,1,1,1,1,2,2,1,1,1,4,2,2,4,2,
4,2,2,4,2,2,2,2,4,2,4,4,4,4,4,4,4,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1],[1,1,10,16,5,2,8,2,2,12,8,8,8,2,1,4,2,2,4,2,2,4,4,2,4,4,2,4,6,2,4,4,
4,8,12,4,4,8,4,1,1,1,1,2,1,2,2,2,1,3,2,2,2,2,2,6,2,2,2,4,4,4,4,4,4,4,4,4,4,1,
1,1,2,1,2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,8,1,6,4,4,4,2,2,
4,4,8,8,8,2,4,3,4,2,2,2,2,2,4,4,4,4,8,4,4,4,4,4,4,4,4,8,4,4,4,4,1,1,1,4,1,2,2,
2,2,1,1,1,4,2,2,4,4,4,4,2,4,2,2,4,2,2,2,4,4,4,4,1,1,1,2,1,1,2,1,2,1,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,1,3,3,2,2,4,2,2,4,4,8,8,3,1,1,1,2,2,3,2,2,2,
2,2,4,4,4,4,4,4,4,8,8,4,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,4,4,4,2,4,4,2,4,4,4,4,
4,1,1,1,2,2,2,2,2,2,2,2,2,4,2,1,1,1,2,2,1],[1,1,2,16,16,1,6,2,2,8,4,8,8,16,16,
4,3,2,2,4,4,2,4,2,4,8,4,4,8,4,8,8,4,8,8,8,1,1,1,2,2,2,2,2,2,8,4,2,4,4,4,2,4,4,
4,4,4,8,8,1,2,1,1,2,2,4,2,2,2,4,4,4,1,1,1,2,2,1],[1,1,6,8,1,3,3,2,2,4,2,2,4,4,
8,8,3,1,1,1,2,2,3,4,4,2,2,2,2,2,4,4,4,4,4,4,4,8,1,1,1,1,1,4,2,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,4,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[
1,1,2,4,12,4,1,2,1,1,2,6,2,2,2,8,4,4,4,12,1,1,4,1,2,3,1,4,4,2,2,6,4,2,2,2,4,6,
4,4,4,4,4,4,4,4,12,4,4,4,1,1,2,3,1,3,1,1,1,2,1,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,
32,1,3,3,4,2,2,16,4,16,32,32,3,1,3,4,4,2,2,8,8,4,8,4,12,12,16,16,12,12,4,12,4,
4,24,24,4,4,4,4,1,1,3,3,4,4,6,3,2,2,8,2,1,1,8,4,4,2,12,12,2,2,12,2,2,2,12,12,
4,2,12,4,4,4,4,4,24,4,4,4,4,24,4,1,3,4,6,1,1,1,1,1,1,6,1,2,12,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,2,8,8,8,1,2,4,2,2,4,12,4,8,8,
8,1,2,4,2,2,2,2,4,4,2,4,2,4,6,2,4,4,4,4,4,8,8,4,4,4,4,4,4,1,1,2,1,2,1,2,2,1,1,
1,2,2,2,2,2,2,2,4,4,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,16,1,2,4,4,2,2,8,8,8,8,8,2,1,2,2,2,2,4,4,4,4,
4,4,4,4,4,4,4,4,4,8,4,4,8,4,4,4,4,1,1,2,2,2,1,1,1,1,2,1,2,2,2,4,4,2,2,2,2,4,2,
2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,
1,14,8,8,1,7,7,4,4,12,24,24,24,7,3,4,9,12,4,6,6,8,8,12,12,8,16,16,1,1,1,3,4,3,
4,6,6,6,6,6,4,4,4,4,4,4,4,1,1,3,2,2,2,2,2,2,2,4,4,1,1,1,2,2,1],[1,1,18,16,9,6,
8,24,4,4,24,48,6,2,9,18,2,12,2,16,12,4,8,8,8,4,48,2,1,1,9,6,2,6,2,2,2,12,12,4,
4,4,2,4,4,1,1,2,2,6,1,6,2,2,4,4,1,2,1,1,2,1],[1,1,14,8,8,16,1,7,7,4,4,12,2,2,
8,4,24,16,8,24,32,7,3,4,9,2,12,2,4,2,4,4,2,6,6,4,8,8,4,4,12,4,8,8,8,8,8,8,4,8,
8,16,16,16,16,1,1,1,3,4,1,1,2,3,2,4,2,2,6,2,1,2,6,2,2,1,2,4,4,4,4,4,4,4,4,2,4,
4,2,4,2,2,4,4,4,8,8,8,8,1,1,1,1,1,2,2,2,2,2,2,1,2,2,1,2,2,2,4,2,2,2,4,2,4,2,4,
1,1,1,1,1,1,1,1],[1,1,10,16,8,5,2,8,8,8,4,4,8,48,2,1,4,2,2,2,12,2,16,2,4,2,4,
6,2,8,8,4,8,4,4,8,4,16,2,1,1,1,2,2,2,2,2,2,4,2,4,2,4,4,4,2,2,2,4,4,4,4,4,4,4,
4,1,2,1,1,2,2,1,1,2,2,2,2,2,4,4,2,1,1,1,1,1,1,1,1],[1,1,18,9,6,24,4,4,6,2,9,
18,2,2,4,4,8,4,4,1,1,9,6,4,2,4,4,4,4,1,1,2,1,2,2,2,1,1,1,1],[1,1,6,8,8,8,8,1,
3,3,2,2,4,4,4,4,4,4,24,8,24,8,32,32,3,1,1,1,2,2,3,4,2,2,6,6,2,2,2,8,8,4,4,4,4,
4,4,12,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,4,4,4,16,16,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,6,2,2,2,2,6,2,2,2,2,4,4,4,2,4,2,4,4,4,2,4,4,4,4,8,4,8,4,8,4,4,8,8,8,4,8,4,8,
4,8,4,8,1,1,1,1,2,2,2,2,1,1,2,1,2,2,2,4,2,2,2,2,2,2,4,2,2,2,2,4,4,8,4,4,1,1,1,
1,1,1,1,2,2,2,2,1],[1,1,10,16,16,5,2,8,8,8,4,4,8,48,16,2,1,2,4,2,2,4,12,2,16,
4,4,8,8,4,4,8,4,4,8,16,8,2,1,1,1,2,2,2,2,2,4,4,4,4,4,4,2,4,2,4,4,4,4,8,8,8,8,
1,2,2,2,1,1,2,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,10,16,8,5,2,8,8,8,4,4,48,8,2,1,4,
2,2,2,12,2,16,2,4,2,4,6,2,8,4,8,8,8,4,4,4,16,2,1,1,1,2,2,2,2,2,4,2,2,2,4,2,4,
2,4,2,4,4,4,4,4,4,4,4,4,1,1,1,2,1,2,1,2,2,2,4,2,2,2,4,2,1,1,1,1,1,1,1,1],[1,1,
2,8,8,8,1,2,4,2,2,4,12,4,8,8,8,1,4,2,2,2,2,2,4,4,2,4,2,4,6,2,4,4,4,4,4,4,8,8,
4,4,4,4,4,1,1,2,1,2,1,2,1,1,1,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,4,4,4,4,4,4,4,4,1,
1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,4,4,12,5,2,1,1,2,
2,8,6,4,4,4,12,4,4,32,2,1,1,4,2,3,1,1,2,2,2,4,2,4,2,2,2,4,4,2,4,4,4,8,4,4,8,8,
8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,4,2,2,2,2,4,2,4,4,4,4,4,4,4,4,1,
1,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,16,1,2,4,4,2,2,8,
8,8,8,8,2,1,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,4,4,4,4,4,4,1,1,2,1,2,2,1,2,
1,1,1,2,2,2,4,4,2,2,4,2,4,2,2,4,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,4,4,8,1,2,1,1,6,2,2,4,4,4,12,4,4,4,8,32,1,
1,4,2,1,1,3,2,2,2,2,2,4,2,2,4,2,4,4,2,4,4,8,4,4,4,4,4,8,8,8,8,8,8,1,1,1,1,1,1,
1,1,2,2,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,4,4,8,1,2,1,1,6,2,2,4,4,4,12,4,4,
4,8,32,1,1,4,2,1,1,3,2,2,2,2,2,4,2,2,4,2,4,4,2,4,4,4,8,4,4,4,4,8,8,8,8,8,8,1,
1,1,1,1,1,1,2,1,2,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,
1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,8,16,1,3,3,4,4,4,2,2,8,
4,24,16,24,32,3,1,3,4,2,4,4,2,6,6,4,8,8,4,4,12,8,8,4,8,8,8,8,8,4,8,16,8,16,1,
1,1,1,1,2,2,6,6,2,2,2,4,2,4,4,4,4,4,2,8,8,8,4,8,4,4,4,4,1,1,1,2,2,2,2,2,2,2,2,
4,2,2,4,4,4,4,1,1,1,2,2,1],[1,1,10,4,4,12,5,2,1,1,2,2,8,6,4,4,4,12,4,4,32,2,1,
1,4,2,3,1,1,2,2,2,4,2,4,2,2,2,4,4,2,4,4,4,8,4,4,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,
1,1,1,2,2,2,2,2,2,2,4,2,2,2,4,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,2,1,1,1,1,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,16,5,2,8,8,4,4,16,16,2,1,2,4,2,2,4,2,8,4,4,4,
8,8,8,1,1,1,4,4,4,4,2,2,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,2,4,4,12,1,6,1,1,
2,2,2,2,6,4,4,12,4,4,4,1,3,3,2,1,1,2,6,6,2,4,2,2,2,4,2,4,4,4,4,4,4,4,12,8,4,4,
4,1,1,1,1,1,1,1,1,1,3,3,4,4,2,2,4,2,4,2,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,1,1,
2,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,1,6,2,2,8,4,16,4,3,2,2,4,2,2,
4,4,8,4,8,8,8,1,1,1,4,4,2,4,4,4,2,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,10,5,10,2,
2,4,10,15,10,2,2,4,8,4,8,5,1,1,10,4,4,2,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,
12,4,8,1,2,1,1,2,6,2,4,4,4,4,4,4,12,8,32,1,1,4,2,1,3,1,2,2,4,2,2,2,4,2,4,2,2,
4,2,8,4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,1,1,1,2,1,2,1,2,1,1,1,2,2,2,2,2,2,2,2,2,
2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,
1],[1,1,2,4,12,4,8,1,2,1,1,2,6,2,4,4,4,4,4,4,12,8,32,1,1,4,2,1,3,1,2,2,4,2,2,
2,4,2,4,2,2,4,2,8,4,4,4,4,4,4,4,8,8,8,8,8,8,1,1,1,1,1,1,2,1,2,1,1,1,2,1,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,6,8,8,1,3,3,4,4,4,2,2,4,8,8,8,3,1,3,4,2,2,2,2,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,8,8,8,1,1,1,2,1,1,2,2,1,2,1,2,2,2,2,2,2,4,2,4,4,2,2,2,4,4,4,4,
4,4,4,1,1,1,1,1,1,1,2,4,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,14,24,1,7,7,2,2,12,12,
24,32,7,1,1,3,4,2,2,9,4,12,4,6,6,6,4,4,4,4,8,8,8,8,8,1,1,3,4,3,3,2,4,2,2,2,4,
2,2,2,2,2,2,2,2,4,6,6,4,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,2,1,2,1,2,2,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,
8,32,1,3,3,4,4,4,2,2,16,4,8,32,8,8,64,3,1,3,4,2,8,8,2,2,2,8,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,16,16,16,16,4,16,8,8,16,16,16,1,1,1,4,2,1,1,2,2,1,4,2,1,4,2,2,2,2,
2,2,2,2,2,8,2,2,8,2,4,8,8,8,8,8,4,4,8,4,4,4,8,8,8,8,8,8,8,8,1,2,1,2,1,1,1,1,1,
2,4,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,8,8,1,1,1,2,2,2,2,2,2,1],[1,1,2,16,1,6,6,
6,8,12,16,4,2,3,2,2,4,6,6,6,8,12,4,4,8,8,8,1,2,2,3,3,6,6,12,2,4,4,2,4,4,4,4,8,
8,3,6,1,1,6,2,2,2,4,4,1,1,1,2,2,1],[1,1,10,16,5,2,8,8,4,4,16,16,2,1,2,4,2,2,4,
2,8,4,4,4,8,8,8,1,1,1,4,4,4,4,2,2,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,18,16,9,
6,8,24,4,4,48,24,6,2,9,18,2,12,2,16,12,4,8,8,8,4,48,2,1,1,9,6,6,2,2,2,2,12,4,
12,2,4,4,4,4,1,1,2,2,1,6,6,4,2,4,2,1,2,1,1,2,1],[1,1,18,24,9,6,4,24,12,4,4,48,
2,6,2,9,6,18,2,2,6,2,4,12,12,4,4,8,12,12,4,8,8,1,1,9,2,6,6,6,6,4,4,4,12,4,6,6,
6,2,6,4,4,4,4,4,4,4,4,4,4,12,1,1,1,1,2,2,2,1,1,1,6,2,2,2,6,6,2,2,6,2,2,4,4,4,
4,1,2,1,1,2,2,2,2,2,1],[1,1,18,24,9,6,4,24,12,4,4,48,2,6,2,9,2,18,6,2,6,2,12,
4,4,12,4,8,12,12,4,8,8,1,1,9,2,6,6,6,6,4,6,4,12,6,6,4,2,6,4,4,4,4,4,4,4,4,4,
12,4,4,1,1,1,1,2,2,2,1,1,6,1,2,2,6,2,6,6,2,2,2,2,4,4,4,4,1,2,1,1,2,2,2,2,2,
1],[1,1,18,9,6,24,4,4,6,2,9,18,2,2,4,4,8,4,4,1,1,9,6,4,2,4,4,4,4,1,1,2,1,2,2,
2,1,1,1,1],[1,1,14,8,1,7,7,2,2,12,2,2,4,4,8,7,1,1,3,4,2,2,9,6,12,6,2,2,2,2,2,
4,4,4,4,4,4,4,1,1,3,4,1,1,1,3,2,6,2,2,2,4,2,2,7,2,2,2,7,2,4,2,2,14,2,2,2,2,2,
4,4,4,4,1,1,1,4,4,2,1,1,1,1,1,2,1,2,1,1,7,1,2,2,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,
1,1,2,2,2,2,1],[1,1,14,8,1,7,7,2,2,12,2,2,4,4,8,16,7,1,1,3,4,2,2,9,2,12,2,2,2,
2,2,2,4,4,4,4,4,8,4,8,8,4,1,1,3,4,1,1,1,3,2,2,2,2,2,4,2,4,2,4,1,2,4,2,2,1,2,4,
4,4,2,2,2,2,2,2,2,2,4,4,1,1,1,2,2,1,2,2,1,1,1,2,2,1,1,2,2,4,2,2,2,4,2,2,1,1,1,
1,1,1,1,1],[1,1,2,8,8,8,1,6,4,4,4,2,2,4,4,8,8,8,2,4,3,4,2,2,2,2,2,4,4,4,8,4,4,
4,4,4,4,4,4,4,4,8,4,4,4,1,1,1,4,1,2,2,2,1,1,2,1,4,2,2,4,4,2,4,4,2,2,2,4,2,2,4,
4,4,4,4,1,1,1,1,2,1,2,1,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,1,3,3,
4,8,8,4,16,4,8,3,1,1,3,8,3,8,2,2,2,12,12,4,4,2,4,4,4,8,8,4,1,1,3,3,4,1,8,3,2,
1,6,2,2,2,2,12,2,2,2,2,2,4,2,2,4,4,4,1,3,4,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,1,
1,1,2,2,1],[1,1,6,8,1,3,3,4,4,4,4,8,4,8,3,1,1,3,4,3,4,2,2,2,4,4,4,4,2,4,4,4,8,
8,8,4,1,1,1,1,1,4,3,2,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,2,2,4,4,4,1,1,1,1,2,2,1,1,
1,4,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,10,16,16,5,2,8,8,8,4,4,48,8,16,2,1,2,4,2,2,
4,12,2,16,4,4,8,8,4,8,4,4,4,8,16,8,2,1,1,1,2,2,2,2,2,4,4,4,4,2,4,4,2,4,4,4,4,
4,8,8,8,8,1,2,2,1,1,2,2,4,2,4,2,4,4,1,1,1,2,2,1],[1,1,2,8,16,8,1,2,4,4,8,4,4,
4,8,8,8,8,32,2,1,2,2,2,2,2,2,4,4,4,4,4,4,8,4,8,8,4,4,4,4,4,8,8,8,16,1,1,1,1,2,
1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,
2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,6,6,6,16,4,4,2,3,2,2,6,6,6,8,2,
2,4,14,2,8,4,4,4,4,1,2,2,3,3,6,6,2,12,2,2,2,2,2,4,4,4,4,4,4,4,4,3,6,1,1,1,1,6,
2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,24,5,10,4,2,2,12,4,48,2,10,15,2,10,6,6,2,
2,4,12,12,4,4,8,12,12,4,8,8,5,1,1,6,2,10,6,6,4,4,4,4,6,6,6,12,2,6,4,4,4,4,4,4,
4,4,4,4,12,1,1,1,1,2,2,6,1,1,2,1,2,6,2,2,6,6,2,2,2,2,4,4,4,4,1,2,1,1,2,2,2,2,
2,1],[1,1,2,8,8,8,1,2,4,2,2,4,12,4,8,8,8,1,4,2,2,2,2,2,4,4,2,4,2,4,6,2,4,4,4,
4,4,4,4,4,8,8,4,4,4,1,1,2,2,1,1,1,1,2,2,1,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,1,6,4,
2,2,4,4,2,4,3,4,2,2,2,4,4,4,4,4,8,8,8,1,1,1,4,2,2,4,4,4,4,4,4,4,1,1,1,2,2,2,2,
1,1,1,1],[1,1,6,8,8,16,8,1,3,3,4,4,4,4,4,8,4,4,8,16,8,8,8,32,32,3,2,2,1,4,4,3,
4,4,4,2,2,2,4,2,4,4,8,8,8,4,4,4,4,4,4,4,8,4,4,8,8,8,8,8,4,4,4,8,8,8,8,8,8,8,8,
8,2,1,1,2,1,2,2,1,4,4,2,2,4,1,1,4,1,2,2,2,2,4,8,4,4,2,4,4,2,4,2,4,2,4,2,4,4,2,
4,4,4,4,4,2,2,4,4,4,4,8,4,4,4,8,4,4,4,4,8,8,8,8,4,8,4,1,2,1,1,1,1,1,1,2,1,1,1,
1,2,2,4,2,4,2,2,4,2,4,4,4,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,
1,2,4,12,12,16,1,2,1,5,2,6,6,8,4,8,4,4,4,12,8,16,16,16,32,2,1,1,2,2,2,2,1,3,1,
2,2,2,8,4,2,6,4,4,6,8,4,2,2,4,2,4,6,4,6,2,2,4,8,12,4,4,4,8,4,8,8,4,4,4,4,8,4,
8,8,8,8,8,8,1,2,2,1,1,1,1,1,2,2,1,2,1,1,1,1,2,2,2,2,2,2,4,4,2,2,2,6,4,2,2,2,2,
2,2,4,2,2,2,4,4,2,2,2,2,2,2,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,8,4,4,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,24,1,3,3,2,2,4,12,24,8,32,3,1,1,1,
2,2,3,2,2,6,6,6,4,4,4,4,4,8,8,8,12,8,1,1,3,2,2,2,2,1,2,2,2,2,1,2,2,4,2,6,6,6,
4,4,4,4,4,4,4,4,4,4,1,1,1,3,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,1,1,1,1,1,1,1,
1],[1,1,10,8,5,2,4,8,4,4,4,16,2,2,1,4,4,2,2,2,4,4,4,4,8,4,8,4,4,1,1,1,4,4,2,2,
4,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,2,4,4,12,1,6,1,1,2,2,2,2,6,4,4,12,4,4,
4,1,3,3,2,1,1,2,6,6,2,4,2,2,2,4,2,4,4,4,8,4,4,4,4,12,4,4,4,1,1,1,1,1,1,1,1,1,
3,3,4,4,2,2,2,4,2,4,2,2,2,2,2,2,4,4,4,4,4,4,1,1,1,1,1,2,1,1,1,1,2,2,2,2,2,2,2,
2,1,1,1,1,1,1,1,1],[1,1,2,4,4,20,8,1,6,5,1,2,2,2,2,10,8,4,4,12,4,4,16,16,16,2,
4,1,3,4,2,2,2,3,2,1,1,2,2,4,10,6,4,8,2,4,2,2,4,6,2,4,4,6,2,4,6,4,4,4,4,4,4,4,
4,8,12,8,8,8,4,4,12,4,4,4,1,1,1,2,4,2,1,1,1,1,1,1,3,2,3,2,4,4,4,2,2,2,2,2,2,2,
4,2,4,2,2,2,4,2,2,4,2,4,2,4,2,2,4,2,2,2,2,4,6,4,8,4,4,4,4,4,4,4,4,4,4,4,8,4,4,
8,4,4,4,4,4,4,4,4,4,1,1,1,1,2,1,1,2,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,8,1,3,3,4,2,2,4,4,4,8,8,3,
1,3,6,6,2,2,2,2,4,4,4,4,4,4,4,8,4,1,1,1,1,1,6,2,2,2,2,2,3,2,2,3,6,2,2,2,4,4,1,
1,1,1,1,2,2,2,1,3,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,4,4,20,8,1,6,1,5,2,2,2,
2,10,8,4,4,12,4,4,16,16,16,2,4,1,3,2,4,2,2,3,2,1,1,2,2,4,4,6,10,4,4,6,8,4,2,2,
2,4,6,4,6,2,2,4,4,4,4,12,4,4,4,8,4,8,8,4,4,12,8,4,4,4,1,1,1,2,4,2,1,1,1,2,1,1,
1,2,3,3,4,4,2,2,2,2,2,4,4,2,2,2,6,4,4,2,2,2,2,4,4,2,2,2,2,4,4,2,2,2,2,2,4,8,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,8,1,1,1,1,2,1,1,2,1,1,1,1,1,2,2,
2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,
18,8,8,8,9,6,4,4,24,2,2,4,24,24,24,8,32,6,2,9,18,2,6,6,2,8,8,4,12,4,4,4,4,4,8,
4,8,4,8,8,24,8,8,24,8,1,1,1,1,9,6,6,2,2,6,2,2,2,6,4,6,6,2,2,2,2,4,4,8,8,8,8,1,
1,3,1,3,2,2,2,2,6,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,24,1,1,1,4,4,3,3,12,6,8,
8,4,8,16,1,1,4,3,2,3,2,3,2,2,6,4,2,4,4,4,4,4,4,4,4,4,4,4,2,4,4,4,4,4,2,4,4,8,
4,4,4,4,8,1,1,3,3,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,2,4,4,2,2,2,4,4,4,4,
4,4,4,1,1,1,1,1,2,2,1,2,1,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,8,
1,1,1,2,2,4,4,1,1,8,4,2,4,8,4,8,8,16,1,1,1,2,2,4,1,1,2,2,2,4,2,2,4,4,4,2,4,4,
4,4,4,4,4,4,2,4,4,4,2,4,4,4,4,2,4,8,4,8,4,4,4,1,1,1,2,2,2,1,2,1,1,2,2,1,2,2,4,
4,2,2,4,2,4,2,2,2,2,2,4,2,4,2,2,2,4,4,4,4,4,4,1,2,1,1,1,2,1,2,1,1,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1],[1,1,6,16,24,3,8,4,3,3,12,4,10,24,4,32,48,1,5,6,3,8,2,
8,6,6,2,12,4,4,4,2,12,8,12,8,12,12,2,12,12,8,32,4,12,12,12,1,1,1,1,2,3,2,3,1,
3,2,2,3,2,1,8,2,6,2,2,2,2,1,4,6,12,6,6,6,6,4,12,2,6,2,2,2,2,4,4,4,4,1,3,1,1,2,
2,2,2,2,3,1,1,2,2,2,6,2,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,2,4,4,16,20,1,
1,1,2,2,2,2,8,10,10,4,8,8,4,12,8,32,32,40,1,2,1,1,2,2,2,1,1,3,4,3,4,2,2,2,5,2,
2,2,5,1,2,1,2,4,3,2,10,2,2,2,6,2,2,3,2,2,10,6,2,8,12,6,6,8,8,6,8,4,2,2,2,6,2,
8,8,8,8,8,8,16,16,1,1,1,1,1,3,3,1,1,2,1,1,1,1,2,2,2,4,4,2,2,2,1,2,2,1,2,1,2,5,
2,2,1,2,2,1,1,2,2,2,2,2,1,2,1,2,1,2,1,1,2,2,2,2,1,2,1,2,2,2,2,2,4,4,2,8,2,2,2,
2,2,2,4,2,2,4,6,4,2,2,2,2,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,
4,1,1,1,1,1,1,1,2,1,1,1,1,2,2,2,1,1,1,2,1,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,2,
1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,
1,6,8,8,24,8,3,4,4,4,5,5,12,6,4,24,24,4,8,8,32,48,32,1,1,3,3,6,5,2,6,2,8,2,6,
6,2,2,4,4,4,4,4,12,4,4,4,4,12,4,4,2,4,4,8,12,4,4,12,12,2,4,8,8,8,12,8,8,16,4,
8,12,12,12,24,1,1,1,1,1,3,1,3,2,6,2,2,2,3,2,1,2,2,2,2,2,2,2,2,6,2,1,4,6,4,4,6,
6,4,12,6,6,4,4,4,2,6,12,2,2,2,2,4,4,8,8,4,8,8,8,8,4,8,8,4,4,8,4,8,4,1,3,1,1,2,
2,2,3,2,2,1,1,2,1,1,1,1,2,2,2,6,2,2,2,2,2,2,2,2,2,4,2,4,2,2,8,4,1,1,1,1,1,1,1,
2,2,2,2,1],[1,1,2,4,4,20,16,1,6,3,3,2,2,10,4,4,8,4,12,4,4,8,16,32,32,32,1,1,4,
1,3,2,2,2,2,3,1,1,2,4,6,4,2,8,8,2,2,2,2,2,4,2,4,4,2,4,2,4,2,2,4,4,2,8,4,8,4,4,
4,4,8,8,4,12,8,4,8,8,8,8,8,8,8,16,16,1,1,1,2,2,1,1,1,1,1,1,3,1,1,3,1,1,2,4,2,
4,4,2,2,4,2,2,2,2,2,3,2,2,1,1,2,2,2,2,2,2,3,2,2,2,2,2,2,1,2,2,3,3,2,1,2,2,2,2,
4,2,2,2,2,2,4,4,4,2,6,4,2,2,2,2,4,4,2,2,4,2,2,2,6,4,2,6,2,6,2,2,2,2,2,2,2,4,2,
2,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,2,2,1,2,2,1,1,2,1,1,1,1,1,1,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,
4,4,8,12,1,1,1,4,4,2,2,2,2,4,6,4,6,4,8,4,4,8,16,16,8,1,1,1,4,2,1,1,2,2,2,1,1,
1,2,1,2,2,4,1,2,2,2,1,5,4,5,2,4,3,4,6,4,4,4,2,2,2,3,4,4,2,4,4,4,6,2,4,4,6,6,4,
4,6,4,4,4,2,4,2,2,6,10,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,2,1,2,1,4,2,1,1,
4,3,5,2,1,3,2,2,1,1,1,2,3,1,1,1,1,1,2,2,1,1,1,2,3,2,1,4,1,1,2,2,2,4,1,1,2,2,4,
2,2,2,2,2,2,4,2,4,4,2,2,2,2,2,2,2,2,4,4,2,2,2,4,4,2,4,2,2,2,6,2,2,2,2,4,4,2,1,
1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,2,1,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,
8,12,20,3,3,3,4,4,4,2,2,6,6,10,24,12,4,8,20,8,48,24,32,1,3,1,1,3,2,2,6,5,3,8,
2,4,4,3,6,3,3,3,2,3,4,6,6,6,6,3,6,4,6,4,4,4,6,2,12,4,4,4,4,4,6,6,12,6,12,2,4,
2,2,6,4,6,8,8,24,8,8,8,8,8,16,1,1,1,3,3,1,3,1,3,2,2,3,1,1,3,2,2,2,2,2,1,2,3,3,
2,2,3,3,2,3,3,1,3,3,3,2,1,3,2,1,2,2,4,2,4,6,2,2,2,2,6,2,2,2,2,2,2,2,2,2,6,6,6,
2,6,6,2,6,6,2,6,6,6,12,12,6,2,8,8,8,8,1,1,1,1,1,1,1,3,2,3,2,3,3,1,1,1,1,3,3,1,
1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,2,6,2,2,2,6,2,2,2,2,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1],[1,1,10,4,4,20,16,5,2,3,3,2,2,8,2,2,10,4,8,4,12,4,4,8,16,32,32,
32,32,1,1,2,1,1,2,4,2,2,3,2,1,1,2,4,6,4,2,4,4,6,2,2,2,2,4,2,4,4,2,4,2,4,6,2,4,
4,2,8,4,4,4,4,8,4,8,4,8,4,4,4,4,8,8,8,4,4,8,8,4,8,4,8,8,8,8,8,8,8,16,16,1,1,1,
2,2,1,1,1,1,1,1,1,1,1,1,1,2,1,2,2,2,4,2,2,2,2,2,2,3,1,1,2,4,2,2,2,2,2,2,2,2,3,
2,2,2,2,2,2,1,2,2,2,3,3,1,2,2,2,2,4,2,2,2,4,2,2,4,2,6,4,2,2,2,2,4,4,2,2,4,2,2,
2,6,4,4,4,2,6,2,6,2,2,2,4,2,2,2,2,4,2,2,4,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,1,1,1,2,1,2,1,1,1,1,1,1,2,1,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,12,12,8,20,1,1,1,4,4,6,6,4,10,
10,12,12,12,8,16,16,8,96,1,1,1,4,2,1,1,6,3,3,3,2,3,4,2,2,8,1,2,2,2,1,5,8,5,6,
3,8,10,8,8,8,6,2,2,3,8,8,12,2,6,2,4,12,6,6,4,4,6,4,4,2,12,2,2,6,10,24,24,24,1,
1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,2,4,4,4,4,4,4,1,1,6,1,1,8,3,5,2,1,3,6,1,1,1,2,
3,1,1,1,1,1,1,1,1,6,3,1,8,1,1,2,2,2,1,1,2,2,4,2,2,2,2,2,12,12,12,2,2,2,12,2,2,
4,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,12,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,
2,2,2,4,4,2,2,2,4,2,2,2,6,2,2,2,2,2,4,2,4,2,12,2,1,1,1,1,1,3,3,3,3,4,4,4,4,1,
1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,1],[
1,1,10,24,8,5,10,2,2,12,4,4,8,16,48,1,1,10,15,4,10,4,2,6,2,4,6,6,6,6,4,4,12,
12,4,4,4,8,8,5,1,1,3,1,3,1,10,3,3,3,3,2,2,4,2,3,3,6,2,9,9,2,6,2,2,2,2,4,4,2,4,
4,2,4,4,6,2,2,2,2,6,1,1,1,1,1,1,3,1,3,1,1,1,1,1,1,1,1,3,1,1,1,1,2,3,3,2,6,1,3,
2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,8,8,16,8,1,6,4,4,
8,4,4,8,8,8,8,16,32,4,3,2,2,2,4,2,2,2,4,8,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,1,1,
1,1,2,2,1,1,1,2,4,2,4,2,4,2,2,4,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,1,1,2,
2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,8,12,20,3,3,3,4,4,4,2,2,6,6,
10,8,12,4,24,20,8,48,24,32,1,3,1,1,3,2,6,2,5,3,8,2,4,6,3,6,3,3,6,3,2,3,6,4,6,
3,4,6,4,4,6,4,4,4,4,4,6,2,4,4,4,4,6,6,12,6,12,12,2,2,2,6,6,8,8,8,8,8,8,24,8,
16,1,1,1,3,1,3,3,3,2,2,1,1,3,3,1,2,2,3,2,2,2,3,1,3,3,3,3,2,3,3,1,2,3,2,1,3,2,
2,2,1,6,2,2,4,6,6,2,2,2,6,2,2,2,2,2,4,2,2,2,2,2,6,2,6,12,12,6,6,6,6,6,2,2,2,6,
2,6,8,8,8,8,1,1,1,3,1,1,1,1,2,3,3,2,1,2,1,1,1,3,3,1,1,3,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,2,1,1,6,2,6,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,12,
12,12,16,5,2,1,1,6,6,8,4,4,6,4,4,8,28,12,12,28,16,32,32,32,64,2,1,1,1,4,2,3,3,
4,7,7,4,2,8,8,6,4,4,2,2,4,4,2,4,4,6,4,2,4,2,4,4,2,6,4,8,8,8,4,4,8,8,8,8,8,8,4,
8,8,12,8,8,4,12,4,4,8,8,8,4,8,8,4,8,8,8,16,16,16,16,16,16,16,16,16,8,16,16,8,
1,1,1,1,1,1,2,2,2,1,1,1,1,1,2,1,1,1,2,1,1,3,1,1,2,1,1,1,2,2,1,1,2,2,2,1,4,2,2,
4,2,4,4,4,4,4,2,4,2,2,4,6,2,4,4,2,2,2,4,4,2,2,4,4,4,4,4,4,2,2,2,2,4,4,6,4,6,4,
6,4,4,4,6,4,4,8,4,4,4,4,4,4,4,4,4,4,4,8,12,12,12,12,8,8,8,12,8,8,12,8,12,12,8,
12,12,12,12,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,1,2,3,1,
1,1,1,3,1,3,2,1,2,1,2,1,3,3,1,2,2,1,3,2,3,1,3,1,2,2,2,1,1,1,1,1,2,2,2,3,2,1,1,
2,1,1,1,1,2,1,1,1,2,1,1,2,1,2,2,1,3,1,2,1,1,1,1,3,1,1,2,3,3,1,1,1,4,4,4,4,8,8,
1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,12,12,16,
12,1,1,1,2,2,6,6,2,2,8,6,4,6,12,8,12,4,8,32,32,40,32,1,2,1,1,6,2,2,2,2,3,3,1,
4,1,2,2,2,5,2,2,2,5,1,2,1,6,3,2,6,2,2,2,2,2,2,3,2,2,4,10,8,8,4,8,6,2,8,4,4,8,
6,6,8,8,6,8,4,4,2,4,4,2,2,6,4,2,8,8,8,8,8,8,8,16,16,1,1,1,1,2,1,1,1,2,1,3,2,1,
1,1,1,2,2,2,2,2,1,2,2,1,2,1,2,5,2,2,1,2,2,2,1,2,1,2,2,2,2,2,1,2,1,4,1,2,1,1,2,
2,2,1,1,2,2,2,2,4,2,4,2,4,2,8,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,6,4,2,2,2,2,6,2,4,
2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,4,4,8,8,8,8,2,1,1,1,1,1,1,1,2,1,1,2,2,1,1,1,1,
1,1,1,1,1,2,1,2,1,2,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,16,24,3,8,4,3,3,12,4,10,32,24,4,
48,1,5,6,3,8,2,8,6,6,2,8,4,4,12,12,4,2,12,8,12,12,12,2,12,8,4,12,12,12,32,1,1,
1,1,2,1,3,3,3,2,2,8,3,2,2,1,2,2,2,2,6,1,2,6,6,6,12,6,6,4,2,6,12,2,2,4,2,2,4,4,
4,4,1,3,1,1,2,2,3,1,1,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,
6,16,12,12,3,3,3,8,4,6,10,4,6,12,4,32,12,8,48,24,1,3,1,1,2,3,8,3,5,8,4,2,6,3,
6,3,3,10,3,2,3,6,6,3,10,6,8,6,2,6,6,12,6,12,12,2,12,2,2,6,6,8,8,8,24,16,1,1,1,
1,3,5,3,2,3,3,1,1,3,3,2,4,4,2,3,3,1,3,3,3,3,2,2,3,2,3,2,2,1,3,2,1,3,2,2,1,6,2,
2,2,6,2,6,2,2,2,2,2,6,2,2,6,6,12,12,6,6,6,2,2,6,6,2,2,2,2,2,2,6,2,6,1,1,3,1,1,
1,1,1,1,2,3,3,1,1,3,3,3,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,6,2,2,2,6,
2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,24,8,1,1,1,1,1,12,4,2,4,8,
12,8,16,1,1,2,2,1,2,6,2,2,6,4,4,2,4,4,4,4,2,4,4,4,2,8,4,8,4,4,4,4,1,1,1,2,1,1,
3,2,2,1,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,4,4,4,4,1,1,2,1,1,1,1,2,2,2,1,2,
2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,16,16,5,2,8,4,4,8,4,4,8,16,16,2,1,1,2,
4,2,2,4,3,4,4,2,6,4,4,4,6,8,12,12,8,4,8,8,4,8,8,8,1,1,1,1,2,2,1,1,3,2,2,2,4,4,
4,6,2,2,4,2,4,2,2,4,4,8,4,4,4,4,4,4,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,10,16,5,2,8,2,2,4,8,16,8,16,2,1,4,2,2,4,6,8,4,4,2,4,8,8,4,4,4,
8,1,1,1,4,4,4,2,2,4,4,4,4,4,1,1,1,2,2,2,2,1,1,1,1],[1,1,6,16,12,12,3,3,3,8,4,
6,10,4,6,32,12,4,12,8,48,24,1,3,1,1,2,3,8,3,5,4,8,2,3,6,3,3,3,2,3,10,6,10,6,3,
6,12,6,6,2,12,8,6,6,12,6,12,2,2,2,6,6,24,8,8,8,16,1,1,1,1,3,3,5,3,3,2,1,1,3,3,
4,2,4,2,1,3,3,3,3,2,3,3,1,3,2,3,3,2,1,3,2,2,2,1,2,2,2,6,2,2,2,2,2,2,6,2,2,2,2,
2,2,6,6,6,2,6,6,2,6,6,2,6,6,2,2,6,12,12,2,2,6,1,1,1,1,3,1,1,1,1,1,3,3,3,1,1,1,
3,3,2,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,2,6,2,2,2,2,6,2,2,2,2,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1],[1,1,2,16,1,1,1,2,2,3,3,8,6,12,16,1,1,1,2,1,2,3,3,3,4,6,
12,12,2,4,4,4,2,4,4,4,4,4,1,1,3,3,3,3,3,6,2,6,2,6,4,2,4,2,2,2,4,4,4,4,4,4,1,2,
3,3,1,1,1,1,2,6,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,16,1,6,4,4,8,8,16,4,3,2,2,4,
6,4,4,2,4,4,4,4,12,4,1,1,1,4,4,2,4,2,4,4,4,4,4,1,2,1,1,2,2,2,1,1,1,1],[1,1,18,
24,8,9,6,2,2,24,2,2,12,4,8,16,48,1,1,6,2,9,4,18,4,6,2,2,4,6,6,6,6,4,8,8,4,12,
12,4,4,4,8,8,1,1,9,1,3,1,3,6,3,3,3,3,2,2,2,9,4,9,6,2,3,3,2,6,2,2,2,2,4,4,4,2,
4,2,4,4,6,2,2,2,2,6,1,1,1,1,1,1,1,1,1,1,1,1,3,1,3,1,1,2,3,1,1,1,1,2,3,6,3,1,3,
2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,8,24,8,3,4,4,4,
5,5,12,6,4,8,24,4,24,8,32,48,32,1,1,3,3,6,5,6,2,2,8,2,6,6,2,2,4,4,4,4,4,4,4,4,
4,8,4,4,4,2,12,4,4,12,4,4,12,12,2,12,8,8,12,16,8,8,8,8,24,4,12,12,12,1,1,1,2,
1,1,1,3,3,2,2,2,2,2,3,2,1,6,2,2,6,2,2,2,2,2,1,6,12,4,4,6,6,4,6,6,4,12,4,4,2,6,
2,2,4,2,2,8,4,8,4,4,8,4,8,8,4,4,8,8,8,4,8,4,8,1,3,1,1,2,3,2,2,2,1,1,1,2,1,1,2,
1,2,2,2,6,2,2,2,2,2,2,2,4,4,2,2,2,2,2,4,8,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,5,8,3,
18,5,8,1,9,9,4,3,18,24,9,4,1,1,2,3,3,4,3,3,6,1,1],[1,1,5,8,3,6,5,8,3,1,3,4,4,
3,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,18,5,8,3,3,9,5,8,6,1,9,9,4,1,3,3,12,3,4,1,1,
2,3,3,4,1,3,1,1],[1,1,5,8,3,6,5,8,3,1,3,4,4,3,6,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,
36,5,8,3,18,5,8,24,36,24,1,9,9,4,3,18,24,9,4,4,4,1,1,2,3,3,4,3,3,6,1,1],[1,1,
18,5,8,3,3,9,5,8,6,1,9,9,4,1,3,3,12,3,4,1,1,2,3,3,4,1,3,1,1],[1,1,6,5,8,1,3,3,
5,8,6,3,1,3,4,5,3,3,8,1,4,1,1,2,3,3,4,1,1,2,1,1],[1,1,18,2,2,1,9,9,2,2,6,12,6,
9,9,9,1,2,2,6,6,6,6,9,1,1,1,6,6,1,1,1,1,1,1,1],[1,1,12,2,2,6,6,9,2,2,4,12,9,9,
9,1,2,2,6,6,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,1,18,2,2,1,6,6,9,9,2,2,6,12,6,6,9,
9,9,18,1,2,2,2,2,6,6,6,6,6,6,9,1,1,1,2,6,6,6,6,6,6,6,1,1,1,2,2,6,1,1,1,2,2,
1],[1,1,12,12,18,2,2,1,6,6,9,9,72,2,2,4,4,6,12,6,12,12,6,9,9,9,18,1,2,2,2,2,6,
6,6,6,6,6,12,12,12,12,9,1,1,1,4,4,2,6,6,6,6,6,6,6,1,1,1,2,2,4,4,6,1,1,1,2,2,
1],[1,1,12,2,2,6,6,9,2,2,4,12,9,9,9,1,2,2,6,6,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,
1,12,2,2,6,6,9,2,2,4,12,9,9,9,1,2,2,6,6,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,1,12,
2,2,6,6,9,2,2,4,12,9,9,9,1,2,2,6,6,6,6,9,1,4,6,6,1,2,2,1,1,1,1],[1,1,10,5,10,
16,10,15,10,16,5,10,1,1],[1,1,2,16,1,6,6,6,12,16,32,4,2,3,6,6,6,8,12,16,1,2,2,
3,3,6,6,12,4,8,8,3,6,6,4,8,8,1,1],[1,1,18,36,4,9,6,6,24,18,72,4,24,3,6,2,9,3,
18,9,9,18,18,18,18,4,12,12,9,3,9,6,9,9,6,9,18,9,9,9,18,1,4,12,12,1,3,3,9,9,9,
9,1,3,3,4,3,1,3,3,1],[1,1,18,24,16,9,6,12,24,72,36,16,32,6,2,9,18,18,24,18,72,
12,16,3,9,6,9,18,18,8,12,24,1,9,9,12,3,1,1],[1,1,30,16,1,15,15,60,16,15,15,20,
45,60,12,16,15,15,20,45,60,8,12,6,10,15,8,12,1,1,1],[1,1,18,24,16,9,6,12,24,
36,72,16,32,6,2,9,18,18,24,18,72,12,16,3,9,6,9,18,18,8,12,24,1,9,9,12,3,1,1],[
1,1,30,4,1,15,15,60,4,24,15,15,20,45,60,4,12,12,15,15,20,45,60,1,4,12,12,6,10,
15,1,3,3,4,1,1,3,3,1],[1,1,18,36,4,9,6,6,24,18,72,4,24,3,6,2,9,9,18,3,9,18,18,
18,18,4,12,12,9,3,9,6,9,9,6,18,9,9,9,9,18,1,4,12,12,1,3,3,9,9,9,9,1,3,3,4,3,1,
3,3,1],[1,1,18,12,4,9,6,2,24,6,24,4,1,6,2,9,3,18,1,3,6,6,6,6,12,8,9,1,3,6,3,3,
2,6,3,3,3,3,6,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,1],[1,1,6,8,24,16,3,4,4,3,3,
12,6,24,24,48,16,32,1,3,6,3,6,8,6,6,12,12,12,12,12,12,24,12,12,12,4,16,1,1,3,
3,3,6,6,6,12,6,6,6,6,12,6,4,8,1,3,2,3,6,1,4,1,1,2,1],[1,1,18,8,16,9,6,4,24,12,
24,16,32,6,2,9,18,6,8,6,24,12,16,1,9,6,3,6,6,8,12,8,1,3,3,4,1,1,1],[1,1,6,24,
12,16,3,12,4,6,6,24,12,12,8,16,32,1,1,1,6,3,3,2,6,3,3,12,6,6,12,6,24,24,4,16,
8,3,3,3,3,3,3,3,6,6,6,6,6,6,6,4,4,4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,18,24,
4,9,6,24,6,6,12,24,4,16,6,2,9,18,6,6,12,24,24,12,12,8,3,3,9,6,12,6,12,12,1,4,
4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,1,6,12,4,3,4,6,6,6,6,4,8,3,1,3,4,3,6,3,6,6,
6,6,4,4,4,3,3,3,1,3,3,3,6,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,
1,6,24,16,3,12,4,3,3,6,24,12,16,32,1,3,3,6,6,6,6,12,12,12,12,24,12,4,16,1,3,3,
3,3,6,6,12,6,6,6,12,4,8,1,3,3,6,6,1,4,3,1,2,1],[1,1,6,24,4,3,4,12,12,24,4,16,
1,3,1,3,9,6,6,12,6,6,6,8,4,8,3,1,6,6,3,6,3,3,6,6,6,6,1,4,4,4,3,1,3,3,3,3,3,1,
2,2,4,3,1,1,1,1],[1,1,6,24,4,3,4,8,12,12,24,4,8,4,1,3,3,3,3,6,6,12,12,12,12,
12,24,6,6,6,4,4,4,8,8,3,3,3,1,6,2,12,12,3,3,3,3,3,12,6,6,6,6,6,6,6,6,6,1,4,4,
4,8,8,3,1,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,36,4,3,4,2,6,6,
18,48,4,16,1,1,3,3,6,9,6,6,6,12,12,6,24,24,8,4,8,3,1,3,3,2,6,6,3,6,12,6,6,6,1,
4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,12,4,3,4,6,6,12,4,8,3,1,3,4,3,6,
6,3,6,6,6,4,4,4,3,3,3,1,3,3,3,6,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,
1],[1,1,6,24,24,4,3,4,12,12,24,24,4,16,16,1,3,7,3,3,6,6,12,6,6,6,8,4,8,3,1,3,
3,6,3,6,3,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,12,16,3,4,
18,12,6,12,8,16,1,1,1,6,3,9,12,2,3,3,6,12,6,6,4,8,16,3,3,3,3,3,6,3,6,3,6,6,6,
6,6,4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,6,24,16,3,12,4,3,3,6,12,24,16,32,
1,3,3,6,6,6,6,12,12,12,12,24,12,4,16,1,3,3,3,6,3,6,12,12,6,6,6,4,8,1,3,3,6,6,
1,4,3,1,2,1],[1,1,6,12,4,3,4,6,6,6,6,4,8,3,1,3,6,3,4,3,6,6,6,6,4,4,4,3,3,3,1,
3,3,3,6,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,6,36,4,3,4,2,18,
12,48,4,16,1,1,3,6,3,6,9,6,6,12,12,6,24,24,8,4,8,3,1,3,3,2,6,6,3,6,6,12,6,6,1,
4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,12,4,3,4,6,6,12,4,8,3,1,3,6,3,4,
6,3,6,6,6,4,4,4,3,3,3,1,3,3,3,6,3,3,6,6,1,4,4,4,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,
1],[1,1,6,8,12,12,16,3,3,3,4,4,6,6,6,12,24,12,8,48,24,16,32,1,3,1,1,3,6,3,3,8,
2,6,3,6,3,3,6,3,3,6,6,3,6,6,6,6,6,12,6,12,12,6,6,24,16,4,8,16,1,1,1,3,3,3,3,3,
3,2,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,4,4,4,8,8,16,1,3,3,3,
3,3,3,6,6,4,4,4,8,1,1,1],[1,1,6,8,12,12,16,3,3,3,4,4,6,6,6,24,12,12,8,48,24,
16,32,1,3,1,1,3,6,3,3,8,2,3,6,3,3,3,3,6,6,6,6,3,6,6,6,12,6,6,12,6,12,6,6,24,
16,4,8,16,1,1,1,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,12,
12,6,4,4,4,8,8,16,1,3,3,3,3,3,3,6,6,4,4,4,8,1,1,1],[1,1,6,8,24,16,3,4,4,3,3,
12,6,24,24,48,16,32,1,3,6,3,6,8,6,6,12,12,12,12,12,12,12,12,12,24,4,16,1,1,3,
3,6,3,6,6,6,6,12,6,6,6,12,4,8,1,3,2,3,6,1,4,1,1,2,1],[1,1,6,24,16,3,4,9,9,6,
12,24,16,16,16,1,3,3,9,9,6,6,6,6,6,12,6,12,12,12,6,4,16,3,1,3,3,6,3,3,6,6,6,3,
12,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,14,24,4,1,7,7,2,2,12,12,24,96,
4,8,7,1,1,3,4,2,2,9,12,6,6,6,12,12,12,12,24,24,24,24,4,4,4,8,8,1,1,3,4,3,3,4,
6,6,6,6,6,6,8,8,12,12,12,24,24,1,4,4,4,8,8,1,2,3,3,4,4,6,8,1,1,1,2,2,4,1,1,1,
1,2,2,1],[1,1,6,24,16,1,3,3,4,12,12,24,32,16,3,1,3,4,4,6,6,8,12,12,12,12,12,
12,24,24,4,16,8,1,3,3,4,4,6,6,8,12,12,12,12,12,12,24,24,4,4,4,8,3,4,6,6,12,4,
4,4,8,1,1,1],[1,1,14,4,1,7,7,12,4,8,7,3,4,9,4,12,4,4,4,4,1,3,4,3,4,4,6,6,12,1,
4,4,4,1,4,4,6,1,1,1,4,1,1,1,1,1],[1,1,6,36,16,3,4,6,6,6,18,36,8,16,16,16,1,1,
1,6,9,3,2,12,3,3,12,12,12,12,6,12,6,6,4,8,16,3,3,6,3,3,6,3,3,3,6,6,6,6,6,4,4,
4,4,4,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,6,24,12,16,3,12,4,6,6,12,24,12,8,16,
32,1,1,1,6,3,3,2,6,3,3,6,6,12,6,12,24,24,4,16,8,3,3,3,6,3,3,6,3,3,6,6,6,6,6,4,
4,4,8,8,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,10,12,4,5,10,2,6,24,4,16,1,10,15,1,10,
3,3,6,6,6,6,8,4,8,5,3,1,10,3,3,2,3,3,3,6,3,6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,
1,1,1,1],[1,1,10,12,4,5,10,2,6,24,4,16,1,10,15,3,10,1,3,6,6,6,6,8,4,8,5,3,1,
10,3,3,2,3,3,6,3,3,6,1,4,4,4,1,1,1,3,3,3,3,1,2,2,4,1,1,1,1,1],[1,1,18,8,16,9,
6,4,24,24,12,16,32,6,2,9,18,6,8,6,24,12,16,1,9,6,3,6,6,8,12,8,1,3,3,4,1,1,1],[
1,1,6,24,24,4,3,4,2,6,12,12,24,48,24,4,8,16,3,1,1,3,3,3,3,6,6,12,6,6,6,6,12,
12,6,6,12,6,12,4,4,4,8,8,3,3,3,1,3,3,2,6,3,3,6,3,3,3,6,6,6,6,6,6,6,12,6,6,6,6,
1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,36,4,3,4,
2,6,6,18,48,4,16,1,1,3,6,3,9,6,6,6,12,12,6,24,24,8,4,8,3,1,3,3,2,6,6,3,6,6,6,
12,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,24,24,4,3,4,6,2,12,12,24,
48,24,4,8,16,1,3,1,3,3,3,3,6,6,12,6,6,6,6,12,12,6,6,12,6,12,4,4,4,8,8,3,3,3,1,
3,3,2,6,3,3,6,3,3,3,6,6,6,6,6,6,6,12,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,
6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,10,36,4,5,10,6,18,72,4,16,8,16,3,10,15,9,10,
3,9,18,18,18,18,4,8,4,8,4,32,5,9,3,10,9,9,6,9,9,18,9,9,18,1,8,4,4,4,8,1,3,3,9,
9,9,9,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,10,36,4,5,10,6,18,72,4,8,16,16,3,10,15,
3,10,9,9,18,18,18,18,4,8,8,4,4,32,5,9,3,10,9,9,6,9,9,9,18,9,18,1,8,4,4,4,8,1,
3,3,9,9,9,9,1,1,2,1,2,4,3,1,1,1,2,2,1],[1,1,10,4,5,10,6,6,12,4,16,10,15,10,6,
6,12,12,8,4,8,5,3,3,10,12,6,12,12,1,4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,1,
10,24,4,5,10,12,12,24,4,16,16,10,15,10,6,6,12,12,8,4,8,5,3,3,10,12,6,12,12,1,
4,4,4,1,3,3,6,6,1,2,2,4,3,1,1,1,1],[1,1,6,16,1,3,3,4,6,6,12,16,3,1,3,6,6,12,
12,4,16,1,3,3,4,6,6,12,4,3,4,1,4,1,1,1],[1,1,18,4,9,6,24,12,12,4,6,2,9,18,6,6,
12,12,12,8,3,3,9,6,12,6,12,12,1,4,4,4,1,3,3,6,6,3,2,4,3,1,1,1,1],[1,1,14,4,1,
7,7,12,6,6,12,4,8,7,3,4,9,12,6,6,12,12,12,4,4,4,1,3,4,3,3,3,4,6,6,6,6,6,1,4,4,
4,1,3,3,6,6,1,1,1,4,3,1,1,1,1],[1,1,18,12,4,9,6,2,24,6,24,4,1,6,2,9,1,18,3,3,
6,6,6,6,12,8,9,1,3,6,3,3,2,3,6,3,3,3,6,1,4,4,4,1,1,1,3,3,3,3,3,2,4,1,1,1,1,
1],[1,1,6,24,4,3,4,8,12,12,24,4,8,4,1,3,3,3,3,6,6,12,12,12,12,12,24,6,6,6,4,4,
4,8,8,3,3,3,1,6,2,3,3,3,12,3,3,12,12,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,3,1,3,3,3,
3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,24,24,4,3,4,12,12,24,24,4,16,16,
1,3,3,3,7,6,6,12,6,6,6,8,4,8,3,1,3,3,6,3,6,3,3,6,6,6,6,1,4,4,4,1,3,3,3,3,3,3,
1,2,2,4,3,1,1,1,1],[1,1,18,24,16,9,6,24,6,6,12,24,16,16,16,6,2,9,18,6,6,12,24,
24,12,12,16,3,3,9,6,12,6,12,12,8,4,4,12,1,3,3,6,6,4,8,3,1,1],[1,1,18,16,9,6,
24,12,12,16,6,2,9,18,6,6,12,12,12,16,3,3,9,6,12,6,12,12,8,12,1,3,3,6,6,4,8,3,
1,1],[1,1,14,24,4,1,7,7,6,6,12,12,24,4,8,8,8,7,3,3,3,4,6,6,9,6,12,6,6,6,6,12,
12,12,12,4,4,4,4,4,4,4,1,3,3,4,3,3,6,6,6,6,6,4,6,3,6,6,3,6,12,6,6,6,6,6,1,4,4,
4,4,4,4,4,1,3,6,3,3,3,3,3,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,6,24,
4,3,4,12,12,24,4,16,1,3,9,3,1,6,6,12,6,6,6,8,4,8,3,1,6,6,3,6,3,3,6,6,6,6,1,4,
4,4,3,1,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,16,3,4,3,3,12,18,16,1,9,3,6,6,6,6,
6,4,16,1,3,3,3,6,3,3,6,3,6,6,4,1,3,3,1,4,3,1,1],[1,1,14,24,4,1,7,7,12,12,12,
24,4,8,16,7,3,4,9,12,6,6,12,12,12,12,24,12,4,4,4,8,8,1,3,4,3,3,3,4,6,6,6,6,6,
12,12,12,12,12,12,1,4,4,4,8,8,1,3,3,6,6,6,6,12,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,
1,14,48,4,1,7,7,12,24,48,96,4,16,16,8,7,3,4,9,6,12,6,12,12,12,24,24,24,24,4,4,
8,8,4,32,1,3,4,6,3,6,4,3,6,3,6,12,12,6,12,12,12,12,1,4,4,4,8,8,1,3,3,6,6,6,6,
12,1,1,2,2,1,4,3,2,1,1,1,2,1],[1,1,6,36,4,3,4,2,18,12,48,4,16,1,1,3,3,6,6,9,6,
6,12,12,6,24,24,8,4,8,3,1,3,3,2,6,6,3,6,6,6,12,6,1,4,4,4,1,3,3,3,3,3,3,1,2,2,
4,3,1,1,1,1],[1,1,2,12,12,12,4,1,1,7,6,6,12,6,12,24,4,8,8,8,1,3,3,3,4,3,6,9,3,
6,6,12,12,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,1,3,3,3,4,4,3,3,3,3,3,3,3,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,
1,1,1,1,1,1,1],[1,3,4,12,12,12,16,1,3,6,3,6,6,6,6,6,24,12,24,16,16,16,3,1,3,3,
6,6,3,6,3,6,6,6,6,6,3,6,6,6,6,6,6,6,6,6,6,4,16,1,3,3,6,3,3,3,3,6,6,6,6,6,6,6,
6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,24,12,4,1,6,1,7,12,6,6,12,24,4,
8,8,8,3,4,1,3,6,3,3,3,6,12,6,6,6,6,3,6,6,6,6,12,12,6,6,4,4,4,4,4,4,4,1,6,3,3,
3,3,4,4,3,3,6,3,6,3,3,3,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,
6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,48,4,1,1,1,3,3,24,6,48,4,16,
16,8,1,1,3,3,3,12,12,12,12,12,12,12,12,4,4,8,8,4,32,1,3,3,6,6,6,6,12,12,1,4,4,
4,8,8,1,3,3,6,6,1,4,4,3,1,2,1],[1,1,6,6,24,18,4,1,1,1,3,3,12,9,9,24,24,24,24,
4,8,8,8,1,3,3,6,1,3,3,3,9,9,3,3,3,3,6,6,3,6,3,6,6,6,6,6,3,3,3,3,6,6,4,4,4,4,4,
4,4,3,1,1,1,3,3,3,3,3,3,3,3,3,6,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,6,3,
3,3,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,
1,1,1],[1,1,2,12,12,12,4,1,7,1,6,6,12,6,12,24,4,8,8,8,1,3,3,3,4,3,9,6,3,6,6,
12,6,6,6,6,6,6,6,6,12,6,6,4,4,4,4,4,4,4,1,3,3,3,4,4,3,3,3,3,3,3,3,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,
1,1,1,1,1],[1,1,2,12,12,12,4,1,1,7,6,6,12,6,12,24,4,8,8,8,1,3,3,3,4,6,3,6,12,
9,3,6,6,6,6,6,6,6,6,12,6,6,6,4,4,4,4,4,4,4,1,3,3,3,4,4,3,3,3,3,3,3,3,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,
1,1,1,1,1,1,1],[1,3,12,4,12,12,16,1,3,6,3,6,6,6,6,6,24,12,24,16,16,16,3,1,3,3,
6,6,6,3,6,6,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,4,16,1,3,3,3,6,3,3,3,6,6,6,6,6,6,6,
6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,12,12,12,4,1,7,1,6,6,12,6,12,24,
4,8,8,8,1,3,3,3,4,3,9,12,6,6,3,6,12,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,1,3,3,3,
4,4,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,
6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,6,12,12,4,1,3,3,7,7,6,6,6,24,4,
8,3,3,3,1,7,6,3,3,3,3,3,3,3,3,6,6,6,3,3,6,6,6,6,6,6,6,6,12,4,4,4,4,4,4,4,3,1,
3,3,3,3,3,1,1,6,3,3,3,3,3,3,3,3,6,3,3,3,6,6,3,3,3,3,6,3,3,3,3,3,3,3,6,1,4,4,4,
4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,
2,4,1,1,1,3,3,6,4,8,1,1,3,3,3,6,12,6,4,4,4,1,3,3,6,6,1,4,4,4,1,3,3,1,4,3,1,
1],[1,1,2,4,1,1,1,2,2,3,3,6,12,4,8,1,1,1,2,1,2,3,3,3,6,12,12,4,4,4,8,8,1,1,3,
3,3,3,3,6,6,6,1,4,4,4,8,8,1,2,3,3,6,1,4,1,1,2,1],[1,1,2,24,12,4,1,1,1,6,6,12,
6,6,12,24,4,8,8,8,1,6,3,6,3,4,3,6,6,6,3,3,3,6,6,6,6,6,6,12,6,6,6,6,6,4,4,4,4,
4,4,4,1,3,3,4,4,3,3,6,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,4,1,4,4,4,4,4,4,1,
3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,36,4,1,1,1,18,
18,12,24,4,8,16,1,3,3,3,3,4,6,6,9,18,6,6,9,12,18,12,6,6,4,4,4,8,8,1,3,3,3,3,6,
4,4,3,3,3,3,6,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,
1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,6,6,18,4,1,7,7,3,3,9,9,24,4,8,7,3,3,1,9,
9,9,9,9,9,9,9,3,3,3,3,3,3,3,18,6,4,4,4,4,4,4,4,3,3,3,1,1,1,9,9,9,9,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,1,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,24,12,4,1,6,7,1,12,6,6,12,
24,4,8,8,8,3,4,1,3,6,3,3,3,6,12,6,6,6,6,3,6,6,6,12,6,12,6,6,4,4,4,4,4,4,4,1,6,
3,3,3,3,4,4,3,3,6,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,
3,6,6,6,6,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,6,6,18,4,1,7,7,3,3,9,9,24,4,
8,7,3,3,1,9,9,9,9,9,9,9,9,3,3,3,3,3,3,3,18,6,4,4,4,4,4,4,4,3,3,3,1,1,1,9,9,9,
9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,1,4,4,4,4,4,4,3,1,3,3,3,
3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,6,6,12,30,4,1,6,2,
3,3,6,3,15,24,24,24,24,4,8,16,1,1,6,6,3,3,6,3,3,3,3,6,3,3,3,3,6,3,3,6,3,6,6,3,
3,3,3,12,12,6,4,4,4,8,8,1,1,1,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,6,3,3,3,6,6,3,3,3,3,3,1,4,4,4,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,
1,4,3,1,1,1,1,1,1,1,1],[1,1,6,6,12,6,4,1,8,3,3,6,15,3,24,4,8,1,3,3,1,3,6,3,9,
15,3,3,9,3,6,3,12,3,3,6,6,6,3,3,3,3,6,6,4,4,4,8,8,3,3,1,1,1,3,3,6,3,3,3,6,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,6,1,4,4,4,8,8,1,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,6,6,12,30,4,1,2,6,3,3,6,
3,15,24,24,24,24,4,8,16,1,1,6,6,6,6,3,3,3,3,3,3,6,3,3,3,3,3,3,6,3,12,6,3,3,3,
3,6,12,6,4,4,4,8,8,1,1,1,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,
3,3,3,3,6,6,3,3,3,3,1,4,4,4,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,
3,1,1,1,1,1,1,1,1],[1,1,6,6,12,6,4,1,8,3,3,6,15,3,24,4,8,1,3,3,1,3,6,15,3,3,9,
3,6,3,9,3,3,3,6,12,6,6,6,3,3,3,3,6,4,4,4,8,8,3,3,1,1,1,3,3,3,3,3,6,3,6,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,6,3,3,3,3,3,3,3,1,4,4,4,8,8,1,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,6,36,12,4,1,3,3,1,1,18,6,6,
24,48,24,4,8,8,8,3,1,1,3,3,3,6,6,9,3,6,3,3,3,6,6,3,3,12,6,6,6,6,6,6,6,6,4,4,4,
4,4,4,4,1,3,3,1,1,3,6,3,3,3,3,3,3,3,3,3,3,3,6,6,3,3,3,3,3,3,6,3,3,3,3,3,3,3,6,
3,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,
1,1,1],[1,3,12,4,12,12,16,1,9,3,6,6,6,6,6,24,12,24,16,16,16,3,1,3,3,6,3,6,6,6,
6,6,3,6,3,6,6,6,6,6,6,6,6,6,6,6,4,16,1,3,3,3,6,3,3,3,6,6,6,6,6,6,6,6,6,4,4,4,
1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,3,4,12,12,12,16,1,9,3,6,6,6,6,6,24,12,24,16,
16,16,3,1,3,3,6,3,6,6,6,3,6,6,6,6,3,6,6,6,6,6,6,6,6,6,6,4,16,1,3,3,6,3,3,3,3,
6,6,6,6,6,6,6,6,6,4,4,4,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,6,24,18,4,1,1,1,3,
3,12,9,9,24,24,24,24,4,8,8,8,1,3,3,6,1,3,3,3,3,9,3,3,9,3,6,6,3,6,3,6,6,6,6,6,
3,3,3,3,6,6,4,4,4,4,4,4,4,3,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,
3,3,3,3,6,3,3,3,3,6,3,3,6,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,
1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,2,12,12,12,4,1,1,1,2,2,6,6,6,6,12,12,12,96,
4,8,1,1,1,2,2,6,3,3,3,3,4,6,6,6,6,6,6,6,6,6,6,6,12,12,12,24,24,24,4,4,4,8,8,1,
1,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,6,6,6,6,6,12,12,12,12,12,12,1,4,4,4,8,8,1,1,1,
3,3,3,3,4,4,4,4,1,1,1,1,1,1,1,4,1,1,1,1,1,1,1,1,1],[1,1,6,16,1,3,3,4,16,3,1,3,
12,4,16,1,6,6,6,4,3,4,1,1],[1,1,14,14,18,4,1,3,3,7,7,9,9,72,4,8,8,4,4,8,8,3,1,
7,3,9,3,3,9,9,3,9,9,9,3,9,3,9,3,3,6,18,4,4,4,4,4,4,4,8,8,8,8,1,1,1,3,3,3,9,3,
3,3,3,3,9,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,9,1,4,4,4,4,4,4,4,1,3,3,3,
3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,14,14,18,4,1,3,
3,7,7,9,9,72,4,8,8,4,4,8,8,3,1,7,3,3,9,3,3,9,9,9,9,9,3,9,3,9,3,3,6,18,4,4,4,4,
4,4,4,8,8,8,8,1,1,1,3,3,3,3,3,3,9,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,
3,3,9,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,4,3,1,1,1,1,
1,1,1,1],[1,1,6,20,20,12,4,1,3,3,10,10,4,3,3,6,6,6,36,12,36,12,96,4,8,8,4,4,8,
8,3,1,3,10,3,3,9,9,3,3,8,8,18,6,6,6,12,6,12,12,6,6,12,6,6,12,6,12,24,24,12,12,
24,12,12,1,4,4,4,4,4,4,4,8,8,8,8,1,1,1,3,3,3,3,6,3,9,3,3,3,3,3,3,6,3,3,3,3,3,
3,3,3,3,3,6,3,3,12,12,12,12,12,12,1,1,1,4,2,2,2,2,4,4,4,4,4,4,1,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,6,36,12,1,1,3,3,
5,5,18,6,6,72,1,6,6,6,4,3,1,1,1,5,2,1,3,1,9,3,9,9,9,6,6,6,9,3,6,6,6,6,18,18,6,
6,12,1,1,1,3,3,3,3,2,2,2,2,24,1,1,1,1,1,1,1,3,3,6,9,3,3,9,3,3,3,3,6,3,3,3,6,6,
3,3,3,3,6,3,9,3,3,3,3,9,6,1,1,3,3,3,1,3,3,3,1,1,3,3,3,1,1,1,1,1,2,2,2,2,2,6,2,
2,2,2,2,2,2,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,3,1,1,1,1,1,1,3,1,3,1,3,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[
1,1,20,10,10,15,6,10,20,20,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,30,10,1,
15,15,6,10,10,10,5,15,15,6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,20,10,10,15,
6,10,20,20,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,20,10,10,15,6,10,20,20,
5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,20,10,10,15,6,10,20,20,5,15,15,6,
10,10,10,15,6,5,10,6,5,1,1],[1,1,30,10,1,15,15,6,10,20,5,15,15,6,12,10,10,10,
5,6,6,6,5,10,6,5,1,1],[1,1,10,10,15,6,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,
1],[1,1,10,10,15,6,10,5,15,15,6,10,10,10,15,6,5,10,6,5,1,1],[1,1,30,10,1,15,
15,6,10,10,10,5,15,15,6,12,10,10,10,5,6,6,6,5,10,6,5,1,1],[1,1,30,10,1,15,15,
20,6,10,10,10,5,15,15,6,12,10,5,10,10,5,6,6,6,5,10,6,5,1,1,1],[1,1,30,24,1,15,
15,60,6,6,12,12,12,24,15,15,20,2,45,60,6,6,6,6,6,8,12,12,12,12,12,12,12,12,24,
24,24,24,24,24,24,15,15,20,2,2,3,3,3,3,45,60,6,6,6,6,6,6,6,6,6,6,8,8,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,6,10,15,2,2,3,3,3,3,3,3,6,6,6,6,
6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,24,1,1,3,3,3,6,6,6,6,6,
6,6,6,6,6,6,6,1,2,3,3,6,1],[1,1,14,24,24,24,24,1,7,7,2,2,12,12,12,6,6,12,12,
12,12,72,24,24,72,24,96,96,96,192,7,1,1,3,4,2,2,2,9,12,12,6,6,6,6,6,18,18,6,6,
6,24,8,24,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,48,48,1,3,3,1,3,4,2,2,3,3,
3,3,3,3,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,
6,6,6,6,8,8,8,8,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
1,3,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,
8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,48,48,1,1,2,2,3,3,3,3,3,3,3,3,3,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,1,2,3,3,6,6,6,6,6,6,6,12,1],[1,1,14,24,1,7,7,12,6,6,12,12,
12,48,24,7,3,4,2,9,4,12,4,6,6,6,6,6,8,12,12,12,12,24,12,12,12,12,24,24,24,24,
24,24,1,3,4,2,2,3,3,3,3,3,4,4,6,6,6,6,6,6,12,12,6,6,12,6,6,6,6,8,8,12,12,12,
12,12,12,12,12,12,12,12,24,1,2,2,3,3,3,3,3,6,3,4,4,6,6,6,6,6,6,6,6,6,6,6,12,
12,12,12,12,12,12,12,12,1,1,3,3,3,6,6,6,6,6,6,6,6,1,3,3,1],[1,1,30,24,1,15,15,
60,6,6,12,12,12,24,32,15,15,20,45,60,4,4,6,6,6,6,8,12,12,12,12,12,12,12,12,24,
24,24,24,24,15,15,20,3,3,3,3,45,4,4,4,60,6,6,6,6,8,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,24,24,24,24,6,10,15,3,3,3,3,3,3,4,4,6,6,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,12,24,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,3,3,3,
6,1],[1,1,14,16,8,1,7,7,4,4,12,2,2,8,4,4,4,16,32,8,32,7,2,2,3,4,4,4,9,4,12,4,
2,4,4,2,2,4,2,4,4,8,8,8,4,4,4,4,4,16,4,4,8,4,8,8,8,8,8,8,8,8,8,8,8,1,2,3,4,1,
1,1,2,1,3,4,4,4,4,4,4,2,2,2,8,4,8,2,4,8,4,2,2,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,1,1,1,2,1,1,1,1,1,1,1,4,1,4,2,2,2,
2,2,2,2,2,2,2,2,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,
2,1,1,1,2,2,1],[1,1,14,16,16,32,8,1,7,7,8,8,12,2,2,16,4,4,4,48,32,16,48,8,64,
64,7,3,4,9,4,12,4,8,2,8,8,2,12,12,2,8,2,16,16,4,4,4,24,8,4,4,4,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,16,8,16,8,16,16,8,16,16,16,32,16,16,32,16,16,16,16,1,2,2,3,4,1,
1,1,4,1,3,4,4,2,2,2,2,4,2,12,4,2,2,4,12,2,2,4,2,2,2,2,4,2,4,4,4,8,4,4,4,8,4,8,
4,4,8,4,8,4,4,4,8,8,8,4,8,4,4,8,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
16,16,16,16,16,16,16,16,16,16,16,16,1,2,1,1,1,2,1,1,2,1,2,4,2,2,2,2,2,2,2,4,2,
4,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,
4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,16,16,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,4,1],[1,1,14,8,8,40,24,1,7,7,6,6,
4,4,12,2,2,20,12,4,12,24,40,8,24,24,32,96,96,96,96,7,3,3,3,4,6,6,9,4,12,4,4,4,
4,2,10,10,2,6,6,6,10,6,8,8,8,12,12,12,20,20,20,4,12,12,12,4,12,12,4,12,12,12,
12,12,12,12,20,12,12,12,12,24,8,8,8,24,24,8,8,8,8,24,24,24,24,24,24,24,24,24,
24,24,8,24,8,24,16,48,16,16,16,16,48,16,64,64,1,1,1,3,3,4,3,1,1,5,3,3,4,4,4,4,
4,4,4,4,4,4,4,4,6,6,2,6,6,6,2,6,10,6,6,6,2,2,10,2,6,6,10,6,2,2,6,6,10,8,8,8,8,
8,4,4,12,4,12,4,4,12,12,12,12,20,12,12,12,12,4,12,4,12,12,12,12,4,4,4,4,4,12,
12,4,4,12,12,12,12,4,4,12,4,4,4,12,4,12,4,12,4,12,12,4,4,12,12,12,12,12,12,4,
12,4,12,12,4,4,12,12,24,8,8,8,24,24,24,8,8,24,8,8,24,8,8,8,8,24,8,24,24,24,24,
24,24,24,24,8,24,8,24,24,8,24,24,24,8,24,24,24,8,24,8,8,8,24,24,24,24,24,24,
24,24,24,24,16,16,16,16,1,1,2,1,3,5,3,1,1,3,3,1,1,1,1,1,4,4,4,4,4,4,2,2,2,2,2,
6,2,2,6,2,6,2,2,2,6,6,2,2,6,6,2,2,6,2,2,2,2,6,2,2,2,6,2,2,2,2,2,8,8,4,12,4,12,
4,4,4,12,12,4,4,4,4,12,12,12,12,12,4,12,4,4,12,4,4,4,12,4,4,12,4,4,4,4,4,4,4,
12,12,4,12,4,12,4,12,4,12,4,12,12,4,4,4,12,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,
4,4,4,4,8,8,24,24,8,24,8,8,24,24,24,8,8,8,8,8,8,24,24,24,8,24,24,8,24,8,8,8,8,
8,8,1,1,1,1,1,1,1,1,1,3,1,1,1,3,1,4,4,2,2,2,6,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,
2,2,2,2,2,2,2,2,4,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,
4,8,8,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,4,4,1],[1,1,14,8,8,56,8,1,7,7,2,2,4,4,12,
6,6,28,4,12,4,24,56,8,24,8,32,32,160,7,1,1,3,4,2,2,9,4,12,4,4,6,14,14,6,6,6,2,
14,2,8,8,4,4,12,12,12,12,4,12,12,4,4,4,4,4,4,4,12,4,4,4,8,8,24,8,24,8,24,8,8,
8,8,40,8,40,40,8,40,24,16,48,16,16,16,16,48,16,48,48,48,48,1,1,1,1,3,4,1,3,3,
7,1,3,4,4,4,2,2,6,2,2,2,2,2,6,6,2,2,2,2,6,2,2,6,6,10,6,2,10,2,6,8,8,4,12,4,4,
4,4,12,12,4,4,4,12,8,4,4,4,12,4,8,4,8,8,4,4,4,4,4,20,4,4,4,20,4,12,4,4,4,4,24,
8,8,24,8,24,24,8,24,8,24,8,24,8,24,24,8,8,8,8,24,8,8,24,8,8,24,8,8,8,16,16,16,
16,1,1,2,1,1,3,3,5,1,1,1,1,4,4,4,6,2,2,2,2,2,6,2,6,2,2,2,2,6,2,6,2,2,2,2,2,2,
2,6,2,6,2,2,2,2,2,8,8,8,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,
4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,8,24,24,8,8,1,1,3,1,1,3,1,
1,1,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,14,8,1,7,7,12,6,6,4,12,4,8,7,3,4,9,12,6,6,2,2,4,
12,12,4,4,4,8,8,8,8,8,24,1,3,4,1,3,3,1,3,4,4,2,6,2,6,4,12,4,4,4,12,12,12,4,4,
4,4,8,8,1,1,1,3,1,1,1,4,4,2,2,4,6,4,4,4,4,4,4,4,4,4,1,1,1,2,1,1,2,2,2,2,2,2,1,
1,1,1],[1,1,14,32,24,1,7,7,12,6,6,16,12,12,12,32,24,64,7,3,4,2,9,4,12,4,6,8,6,
8,6,6,8,6,8,12,12,12,12,12,12,12,12,24,24,24,16,24,16,24,24,16,16,16,16,16,16,
16,1,3,4,2,2,3,3,3,4,3,3,4,4,6,6,6,6,6,6,2,6,4,6,6,2,4,6,8,8,12,12,12,8,12,12,
12,8,4,12,8,8,8,8,12,12,12,8,8,8,8,8,8,8,24,8,8,8,8,8,8,16,16,16,16,1,2,2,3,3,
3,2,3,3,3,6,2,2,6,6,6,2,6,6,2,6,6,6,2,6,4,4,4,4,4,12,4,4,12,4,4,4,4,12,12,8,4,
12,12,4,8,8,8,8,8,8,8,8,8,1,3,3,1,1,2,2,2,2,6,2,6,6,2,2,2,2,6,4,4,4,4,4,4,4,4,
1,1,1,2,2,2,2,4,1],[1,1,14,16,16,8,1,7,7,8,8,12,2,2,4,4,4,48,32,48,8,64,7,3,4,
9,4,12,4,8,2,2,12,12,2,2,16,16,4,4,4,24,16,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,16,16,16,32,16,16,32,16,1,2,2,3,4,1,1,1,1,3,4,4,2,2,2,2,8,2,12,8,6,2,8,12,2,
2,2,2,6,2,2,4,4,4,8,4,4,4,8,4,4,8,4,4,12,4,8,8,8,8,4,4,4,4,4,4,4,8,8,8,8,8,8,
16,16,16,16,1,2,1,1,1,1,1,4,1,4,4,2,4,2,4,2,2,2,2,2,4,4,2,4,2,2,2,4,4,2,6,4,4,
4,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,1,1,1,2,2,1,1,2,2,2,4,
2,2,2,2,2,4,2,4,4,4,4,4,4,2,1,1,1,2,1],[1,1,30,8,8,24,8,1,15,15,2,2,4,4,60,2,
2,12,4,4,4,24,24,24,24,8,32,32,96,15,1,1,15,20,2,2,45,4,60,4,4,2,6,6,2,6,6,2,
6,2,8,8,4,4,12,12,12,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,8,8,8,8,8,8,8,8,8,8,8,
24,8,24,24,8,24,8,16,16,16,48,48,16,16,16,15,1,1,1,15,20,1,1,1,3,1,45,4,4,4,4,
4,60,2,2,2,2,2,2,6,2,6,6,2,2,6,6,6,6,2,6,6,6,2,6,6,2,6,8,8,4,4,12,4,4,4,12,4,
4,12,4,12,4,4,12,4,4,12,12,12,12,4,12,4,4,4,12,4,4,4,12,4,4,4,4,4,4,8,8,8,8,8,
8,8,8,8,8,8,8,8,24,8,8,24,8,8,8,16,16,16,16,6,10,15,1,2,1,1,3,1,3,1,1,3,1,4,4,
4,4,4,2,6,2,6,2,2,2,6,2,2,2,2,2,2,6,6,6,2,2,2,6,2,2,2,6,2,2,6,6,8,4,12,4,4,4,
4,4,4,4,4,12,4,4,4,4,12,12,4,4,4,12,4,12,4,4,4,4,12,4,4,4,12,4,4,4,4,4,12,4,4,
4,4,4,4,4,8,8,8,1,1,1,1,1,1,1,3,3,1,1,4,4,4,4,4,4,2,2,2,2,2,2,2,2,2,2,6,6,2,2,
2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,40,1,7,7,12,6,6,20,
12,20,40,32,7,3,4,2,9,12,4,4,6,6,6,10,10,8,8,12,20,12,12,12,20,20,20,12,12,24,
24,24,24,40,24,24,8,8,8,1,3,4,2,2,5,3,3,5,3,4,4,4,10,6,6,6,6,10,6,6,6,6,8,8,8,
12,12,12,12,12,12,12,12,12,12,4,4,4,4,20,20,12,4,12,8,8,8,8,8,8,24,8,8,24,8,8,
8,8,8,24,8,1,2,2,3,5,3,3,3,3,4,6,6,2,2,2,6,6,6,2,6,6,6,2,6,6,6,6,12,4,4,4,4,4,
12,4,4,4,4,4,12,4,4,4,12,12,4,4,4,12,12,8,8,8,8,8,1,1,1,3,3,1,1,2,2,2,2,2,2,6,
2,6,6,2,2,2,2,2,2,2,2,6,2,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,30,16,16,8,1,15,
15,8,8,60,2,2,4,4,4,48,48,48,8,64,15,15,20,45,60,8,2,2,12,12,2,2,16,16,4,4,4,
24,24,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,96,16,16,96,16,15,2,2,15,20,
1,1,1,1,45,60,2,2,2,2,12,2,12,12,2,12,12,2,2,2,2,2,2,4,4,4,24,4,4,4,24,4,4,24,
4,4,4,4,24,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,16,16,16,16,6,10,15,2,1,1,1,
1,1,6,1,2,12,2,2,2,2,2,2,2,12,12,2,2,2,2,2,2,12,2,4,4,4,4,4,4,4,4,24,4,24,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,6,6,1,8,8,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,4,4,4,2,1,1,1,2,2,2,4,1],[1,1,14,16,16,8,1,7,7,8,8,12,6,6,4,12,4,
48,16,48,8,64,7,3,4,9,12,8,6,6,12,12,2,2,16,16,4,12,12,24,8,4,4,4,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,16,16,32,16,16,32,16,16,1,2,2,3,4,1,3,3,1,3,4,4,2,6,2,2,4,
2,12,4,2,4,12,2,2,6,2,2,2,4,4,4,8,4,4,12,4,8,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,4,
4,8,8,8,8,8,8,8,8,8,16,16,16,16,1,2,1,1,3,1,1,2,1,4,2,4,2,2,2,2,2,2,4,4,2,2,2,
2,2,4,2,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,
8,8,1,1,1,1,2,1,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,14,16,
16,24,1,7,7,8,8,12,2,2,12,4,12,48,16,48,24,32,64,7,3,4,9,12,4,4,8,2,2,12,12,6,
6,16,16,8,12,4,4,24,8,12,12,12,12,12,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,24,8,8,8,
16,16,32,16,16,32,16,1,2,2,3,4,3,1,1,3,3,4,4,4,6,2,6,2,4,2,12,4,2,4,12,2,2,2,
2,2,2,8,4,4,4,8,12,4,4,4,4,8,12,4,4,8,12,4,4,4,4,4,8,4,4,4,4,4,4,12,12,12,4,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,24,8,16,16,16,16,1,2,1,3,1,1,1,2,1,4,2,
4,2,6,2,2,2,2,2,2,4,2,4,2,2,2,2,2,6,2,2,4,2,4,4,4,4,4,4,4,12,4,8,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,1,1,1,1,2,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,
1],[1,1,14,16,16,16,8,1,7,7,4,4,8,8,12,2,2,8,4,4,4,48,16,16,48,8,32,64,7,2,2,
3,4,4,4,9,4,12,4,8,2,4,4,2,12,12,2,4,2,16,16,4,4,8,8,8,4,4,4,4,4,24,8,4,4,8,4,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,32,16,16,32,16,1,2,2,2,3,
4,1,1,1,2,1,3,4,4,4,4,4,4,2,2,2,2,4,4,2,12,4,2,4,2,4,12,2,4,2,2,2,2,2,4,2,4,4,
4,8,4,4,4,8,4,4,4,8,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,1,2,1,1,2,1,1,
1,1,1,1,1,2,1,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,4,2,2,2,4,4,
4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,8,8,8,1,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,4,4,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,32,24,1,7,7,12,2,2,16,12,4,12,
32,16,24,32,64,7,3,4,9,8,12,4,8,4,2,8,8,2,6,8,6,8,12,4,4,8,12,12,12,12,12,8,8,
24,16,24,16,16,8,16,32,16,32,16,16,16,1,3,4,3,1,1,4,3,3,4,8,4,4,6,2,6,4,4,8,4,
4,2,8,4,8,4,12,8,12,8,4,4,12,4,8,16,8,8,4,4,4,8,8,8,12,12,8,8,12,8,8,8,16,8,
16,8,8,8,8,8,24,16,16,8,24,1,1,3,1,2,2,1,2,1,2,1,4,4,4,6,2,2,4,2,4,2,2,6,4,2,
2,8,4,4,4,4,4,8,12,4,8,4,4,4,8,8,4,4,4,4,8,4,8,4,4,4,8,8,4,4,8,16,8,8,1,1,2,1,
2,1,1,1,1,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,2,2,4,2,4,4,4,4,4,8,1,1,2,1,2,2,2,2,2,
1],[1,1,14,24,1,7,7,12,10,10,12,20,12,24,7,3,4,2,9,12,10,6,10,6,6,8,12,12,20,
20,12,12,12,12,24,24,8,24,24,24,24,8,8,1,3,4,2,2,3,5,5,3,3,4,4,6,6,6,10,6,6,6,
10,6,6,8,8,12,12,12,4,12,12,12,12,12,4,4,4,12,12,12,4,24,8,8,1,2,2,3,3,5,3,3,
3,4,6,6,6,6,6,6,2,6,6,6,6,4,4,4,4,4,4,12,12,4,4,4,4,12,12,4,4,12,12,1,1,3,3,1,
2,2,6,2,6,6,2,2,6,4,4,4,4,1,1,1,2,2,1],[1,1,30,48,8,1,15,15,4,4,60,2,2,24,4,4,
4,48,8,32,192,15,2,2,15,20,4,4,45,8,60,8,2,12,12,2,2,12,2,4,4,24,24,24,4,4,4,
4,4,4,4,24,4,8,8,8,8,8,8,48,8,48,48,8,8,48,8,16,16,16,16,15,2,15,20,1,1,1,6,1,
45,8,8,8,8,8,60,2,2,2,12,12,12,12,12,2,12,12,12,16,16,4,4,24,4,4,4,4,24,4,4,4,
4,24,24,4,24,24,4,4,4,4,24,4,24,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,48,8,8,8,8,8,8,48,8,6,10,15,4,1,1,6,1,1,1,1,6,1,1,1,1,8,8,8,8,8,
12,2,2,12,2,2,2,2,12,2,2,2,2,12,2,2,2,12,12,16,4,4,4,24,4,4,4,4,4,4,4,4,4,24,
24,24,4,4,4,4,4,4,4,4,4,24,4,4,4,4,24,4,4,24,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,1,2,2,1,1,1,1,1,1,1,1,1,1,8,8,8,8,2,2,2,2,2,2,2,2,2,2,2,2,
12,12,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,2,1,1,1,
2,2,2,2,2,2,2,2,2,4,4,1],[1,1,14,16,8,1,7,7,4,4,12,2,2,8,4,4,4,16,8,32,7,2,2,
3,4,4,4,9,4,12,4,2,4,4,2,2,4,2,4,4,8,8,8,4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,8,16,
8,16,1,2,3,4,1,1,1,2,1,3,4,4,4,4,4,4,2,2,2,4,2,4,4,2,2,4,4,4,8,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,4,8,8,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,1,1,1,2,1,1,1,1,1,1,
1,1,4,2,4,2,2,2,2,2,2,4,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,2,1,
2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,14,8,8,24,8,1,7,7,2,2,4,4,12,2,2,12,4,4,4,
24,24,40,24,8,32,32,96,7,1,1,3,4,2,2,9,12,4,2,6,6,2,6,6,2,6,2,8,8,4,4,12,12,
12,4,4,4,12,20,4,4,4,4,4,4,12,4,4,4,8,8,8,8,8,8,8,8,8,8,8,24,8,24,24,16,24,8,
16,16,16,16,16,16,16,16,1,1,1,1,3,4,1,1,1,3,1,3,4,2,2,2,2,2,2,10,2,6,6,2,2,10,
6,10,2,6,6,6,2,6,2,6,8,8,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,8,4,8,4,8,12,4,4,4,
12,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,24,8,24,8,8,8,16,16,16,16,1,1,2,1,1,3,1,3,
1,1,5,1,4,4,2,2,2,4,2,2,2,2,2,2,2,2,6,2,2,2,2,4,4,2,2,2,2,2,8,4,4,4,4,8,4,4,4,
4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,16,1,1,1,2,1,1,2,1,1,2,2,2,4,2,4,2,
2,2,2,4,4,4,4,4,4,2,1,1,1,2,1],[1,1,14,32,8,1,7,7,12,2,2,16,4,4,4,32,8,64,7,3,
4,9,4,12,4,2,8,8,2,2,8,2,4,4,4,4,4,4,8,8,8,16,8,16,8,16,16,16,16,16,16,16,1,3,
4,1,1,1,4,1,3,4,4,2,2,2,2,4,2,2,4,4,4,8,4,4,4,8,4,8,4,8,8,8,8,8,8,4,4,8,8,8,8,
8,8,8,8,8,8,8,8,1,1,1,1,2,1,1,1,4,2,2,2,4,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,8,4,
4,4,8,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,14,24,1,7,7,12,2,2,12,
4,12,32,24,32,7,3,4,9,12,4,4,2,2,6,6,8,12,4,4,16,12,12,12,12,12,8,8,24,24,8,
16,1,3,4,3,1,1,3,3,4,4,4,6,2,6,8,8,8,2,8,4,12,12,4,4,12,4,4,4,4,12,12,12,8,8,
8,8,24,8,8,8,24,1,1,3,1,1,1,4,1,4,6,2,2,6,2,4,12,4,4,8,4,4,4,4,4,4,4,4,8,1,1,
2,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,14,8,8,24,8,1,7,7,2,2,4,4,12,2,2,12,
4,4,4,24,24,8,24,8,32,32,96,7,1,1,3,4,2,2,9,12,4,2,6,6,2,6,6,2,6,2,8,8,4,4,12,
12,12,4,4,4,12,4,4,4,4,4,4,4,12,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,24,8,24,24,24,8,
8,16,16,16,16,16,16,16,16,16,1,1,1,1,3,4,1,1,1,3,1,3,4,2,2,2,2,2,2,2,2,6,6,2,
2,2,6,2,2,6,6,6,2,6,2,6,8,8,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,
12,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,24,8,8,8,8,16,16,16,16,1,1,
2,1,1,3,1,3,1,1,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,8,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,1,1,1,1,1,1,1,2,
2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1],[1,1,14,8,1,7,7,12,6,6,4,12,4,
32,8,7,3,4,9,12,6,6,2,2,4,12,12,16,4,4,4,8,8,8,8,8,8,1,3,4,1,3,3,1,3,4,4,2,6,
2,8,8,8,6,4,4,12,4,4,4,4,4,4,4,4,4,8,8,1,1,1,3,1,1,4,1,4,2,2,2,4,4,4,8,4,4,4,
4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,1,14,16,8,1,7,7,4,4,12,6,6,8,4,12,4,
16,16,8,32,7,2,2,3,4,4,4,9,8,12,8,6,4,4,6,2,4,2,4,4,8,8,8,12,4,4,12,4,8,4,4,8,
4,8,16,16,8,8,8,8,8,8,8,8,8,1,2,3,4,1,3,3,2,1,3,4,4,8,4,4,4,4,2,6,2,4,4,4,8,4,
4,4,6,8,4,4,8,4,8,4,12,4,8,4,4,4,4,4,4,4,4,16,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,
4,8,8,8,8,8,8,8,8,8,8,8,1,1,1,2,1,3,1,1,1,1,1,2,1,4,4,4,4,2,4,4,4,2,4,4,2,4,4,
4,2,2,2,4,4,8,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,8,1,1,
1,1,1,1,1,1,1,1,2,1,2,2,4,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,2,1,2,2,2,2,
2,1],[1,1,14,16,24,1,7,7,4,4,12,6,6,8,12,12,12,16,24,32,7,2,2,3,4,4,2,4,9,4,
12,4,6,4,6,4,6,6,4,6,8,12,12,4,8,8,8,12,4,4,12,4,12,12,8,12,12,8,8,8,24,24,24,
8,8,24,24,8,24,8,8,1,2,3,4,2,2,3,3,3,2,3,3,4,4,4,4,4,4,6,6,6,6,6,6,4,2,6,4,4,
6,6,2,6,4,8,8,12,12,4,4,8,4,4,4,4,12,4,12,12,12,4,4,4,4,12,4,4,4,4,4,4,12,4,
12,4,4,12,4,8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,1,2,2,3,3,2,1,3,1,1,3,1,3,3,
4,6,2,2,2,2,2,2,6,6,2,6,2,2,6,2,6,2,6,6,6,2,2,6,4,4,4,4,4,12,4,4,4,12,4,4,4,4,
4,4,4,12,4,12,4,12,12,4,4,8,8,8,8,1,1,1,1,3,1,3,1,1,1,1,2,2,2,2,2,2,2,2,6,2,6,
6,2,2,2,2,2,6,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,8,1,7,7,12,2,2,4,4,4,
16,8,7,3,4,9,4,12,4,2,2,2,2,4,4,4,8,4,4,4,8,8,8,8,8,8,8,1,3,4,1,1,1,1,3,4,4,2,
2,2,4,4,6,4,2,6,4,4,4,4,4,4,12,4,4,4,4,8,8,8,8,1,1,1,1,1,1,2,1,4,4,2,2,6,4,4,
4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[1,1,14,8,8,24,8,1,7,7,2,2,4,
4,12,2,2,12,4,4,4,24,24,8,24,8,32,32,96,7,1,1,3,4,2,2,9,12,4,2,6,6,2,6,6,2,6,
2,8,8,4,4,12,12,12,4,4,4,12,4,4,4,4,4,4,4,12,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,24,
8,24,8,24,8,8,24,8,16,16,16,16,16,16,16,16,1,1,1,1,3,4,1,1,1,3,1,3,4,2,2,2,2,
2,2,2,2,6,6,2,2,2,6,2,2,6,6,6,2,6,2,6,8,8,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,
4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,
24,8,8,8,8,8,8,16,16,16,16,1,1,2,1,1,3,1,3,1,1,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,
2,2,6,2,2,2,2,2,2,2,2,2,2,2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,2,2,2,2,1],[1,1,14,24,1,7,7,12,2,2,12,4,
12,24,32,7,3,4,9,12,4,4,2,2,6,6,8,12,4,4,12,12,12,12,12,8,8,8,24,24,24,8,1,3,
4,3,1,1,3,3,4,4,4,6,2,6,2,8,4,12,12,4,4,4,12,4,12,12,12,12,12,4,12,8,8,8,24,8,
8,24,8,1,1,3,1,1,1,1,4,4,6,2,2,4,6,6,12,4,4,4,4,4,4,4,4,4,4,4,8,1,1,2,1,2,2,2,
2,2,2,2,2,2,2,2,1,1,1,4,1],[1,1,30,8,1,15,15,60,2,2,4,4,4,8,15,15,20,45,60,2,
2,2,2,4,4,4,4,4,4,8,8,8,8,8,8,8,8,15,15,20,1,1,1,1,45,60,2,2,2,2,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,6,10,15,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,
4,4,4,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,1],[1,1,14,32,8,1,7,7,12,
2,2,16,4,4,4,32,32,8,64,7,3,4,9,4,12,4,2,8,8,2,2,8,2,4,4,4,16,4,4,4,8,8,16,8,
16,16,8,8,16,16,16,16,16,1,3,4,1,1,1,4,1,3,4,4,2,2,2,8,8,2,8,4,2,2,4,4,8,4,4,
4,8,4,8,8,8,4,8,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,2,1,1,4,1,2,2,2,2,2,2,2,
4,4,4,8,4,4,4,4,4,4,4,4,8,4,4,4,8,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,1,1,1,2,2,
1],[1,1,14,8,1,7,7,12,2,2,4,4,4,16,8,7,3,4,9,4,12,4,2,2,2,2,4,4,4,8,4,4,4,8,8,
8,8,8,16,1,3,4,1,1,1,1,3,4,4,2,2,2,4,4,6,4,2,6,4,4,4,4,12,4,4,4,4,8,8,8,8,8,1,
1,1,1,1,1,2,1,4,4,2,2,6,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,2,2,2,2,2,2,2,1,1,1,1],[
1,1,30,8,1,15,15,60,2,2,4,4,4,8,15,15,20,45,60,2,2,2,2,4,4,4,4,4,4,8,8,8,8,8,
8,16,15,15,20,1,1,1,1,45,60,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,6,
10,15,1,1,1,1,1,1,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,2,2,1],[1,1,10,24,16,5,10,4,2,2,12,4,8,8,16,48,2,10,15,6,10,2,
4,6,2,4,2,4,8,12,4,4,12,4,4,8,8,12,8,8,8,12,12,8,8,8,5,1,1,2,2,6,2,10,2,2,2,6,
6,2,4,8,4,6,4,6,4,12,6,4,6,6,4,4,4,4,4,4,4,8,8,4,8,4,4,4,12,4,4,8,8,8,1,1,1,1,
2,2,2,3,2,6,1,1,2,2,2,2,2,2,2,2,4,6,4,4,6,2,4,2,6,4,4,2,4,4,4,4,4,4,1,1,1,2,1,
1,1,2,2,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,24,5,10,4,6,6,12,12,48,2,
10,2,15,2,10,6,6,6,6,6,8,4,12,12,4,12,8,12,8,12,12,8,8,8,5,2,2,3,3,6,2,10,6,6,
6,6,4,4,4,4,12,6,6,6,12,6,6,4,4,4,4,12,4,4,12,8,4,4,4,12,8,8,8,1,3,1,1,2,2,6,
6,3,1,2,1,6,2,6,6,2,2,6,6,2,2,4,2,6,2,4,4,4,4,4,4,4,1,1,1,2,3,1,3,2,2,1,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,16,16,24,32,1,3,3,6,6,8,8,4,2,2,12,16,4,16,32,
24,8,32,32,32,96,96,96,96,3,3,3,1,6,6,3,4,4,8,2,6,6,2,8,8,8,6,8,8,4,8,8,4,12,
16,12,12,12,12,12,12,16,12,16,4,12,16,16,16,16,16,16,12,12,12,16,16,4,12,24,4,
8,8,4,4,4,8,24,4,24,12,4,4,4,4,8,4,24,24,24,24,24,24,24,4,4,4,12,4,4,24,4,24,
8,24,24,48,8,8,16,24,8,8,48,16,8,64,64,1,1,3,1,1,3,3,3,4,4,4,4,4,4,6,6,3,2,2,
8,8,8,3,6,6,2,6,8,6,2,6,2,8,8,2,6,1,1,1,1,6,6,3,8,4,8,4,8,4,4,4,4,4,2,2,12,2,
2,12,4,2,2,6,12,2,16,12,12,12,12,12,16,12,2,12,2,12,12,12,12,2,2,2,2,12,12,2,
2,12,12,12,12,4,12,2,2,2,12,2,12,16,12,2,2,4,2,16,12,12,4,12,12,2,12,2,12,12,
4,4,2,2,12,4,12,4,24,4,4,4,4,24,12,12,12,4,24,4,12,24,4,4,24,4,4,4,4,4,4,4,24,
4,4,4,4,4,4,4,12,4,4,4,4,24,4,24,4,4,24,24,24,4,24,24,24,24,24,4,4,24,24,24,
24,4,4,4,24,24,24,24,4,4,24,4,24,4,24,24,4,4,24,24,24,4,24,4,12,24,8,8,8,8,8,
8,8,8,8,8,8,8,1,1,1,1,3,3,3,3,4,4,4,2,1,1,6,3,3,1,1,6,6,8,1,6,1,1,6,1,1,1,1,6,
1,1,1,1,1,1,1,6,1,1,1,6,1,1,1,2,3,1,1,2,4,8,4,4,4,2,12,2,12,4,2,2,2,12,12,2,2,
2,2,2,2,12,12,12,2,2,2,12,12,4,12,2,12,2,2,12,12,2,2,2,2,2,2,2,2,2,12,12,2,2,
12,12,2,2,2,2,2,2,2,2,2,12,2,2,12,12,12,2,2,2,2,2,2,2,2,2,2,2,2,12,2,2,2,2,2,
2,2,2,2,2,2,2,2,12,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,4,24,24,4,4,4,
4,24,4,24,24,24,4,4,4,4,4,4,4,24,4,24,24,4,4,4,4,4,4,4,4,4,4,4,4,24,4,4,24,4,
4,4,24,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,3,3,4,4,1,1,1,1,1,1,1,1,
1,1,6,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,6,1,1,1,1,1,2,2,2,12,2,2,2,12,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,12,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
2,2,2,2,2,2,2,2,1],[1,1,2,12,12,20,8,1,6,5,1,6,6,6,6,10,16,4,12,12,12,12,16,
16,16,2,4,2,1,3,4,2,2,2,6,3,6,3,3,6,8,2,4,10,6,4,8,6,12,6,2,4,10,6,4,4,14,2,4,
10,12,4,12,12,12,12,12,12,12,12,4,8,4,12,12,12,8,12,16,16,8,4,4,12,12,4,4,4,
12,4,1,2,2,3,3,2,4,2,6,3,3,3,3,3,3,3,3,2,3,3,6,3,2,3,4,4,4,4,4,4,4,6,6,6,2,2,
6,2,6,2,4,2,12,2,2,6,4,2,2,6,4,4,2,4,2,4,6,6,2,6,6,4,6,2,2,2,6,4,6,6,4,4,12,4,
16,12,12,4,4,8,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,8,4,8,4,4,8,4,4,4,4,4,4,
4,4,12,4,4,4,4,1,1,1,3,1,1,2,6,3,3,2,1,1,3,1,2,3,1,3,6,2,3,3,3,3,3,3,3,3,4,2,
6,2,6,6,6,2,2,6,6,2,2,6,2,2,2,2,2,2,6,2,2,2,2,2,6,2,6,6,6,6,2,2,2,4,2,2,2,2,6,
2,2,6,2,2,2,4,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,3,2,1,1,1,3,1,2,1,1,1,1,3,
3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,1,1,2,2,2,6,2,2,2,2,2,2,2,2,2,6,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,1,10,24,16,5,10,4,2,2,12,4,8,8,16,48,2,10,15,2,10,6,4,6,2,
4,2,4,8,4,12,12,4,4,4,8,8,8,12,8,8,12,12,8,8,8,5,1,1,2,2,6,2,10,2,2,6,6,2,2,4,
8,4,4,4,6,6,4,6,4,12,6,6,4,4,4,4,8,4,8,8,8,4,4,4,4,4,4,4,12,8,8,1,1,1,1,2,2,2,
6,3,1,2,1,2,2,2,2,6,2,2,4,4,6,4,4,6,2,2,4,2,4,2,2,4,4,4,4,4,4,1,1,1,2,1,1,1,2,
2,2,2,1,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,48,8,1,7,7,4,4,12,2,2,24,4,4,4,
48,16,8,32,128,7,2,2,3,4,4,4,9,4,12,4,2,12,12,2,2,12,2,4,4,16,16,16,4,4,4,4,4,
8,4,4,16,4,8,8,8,8,8,8,32,8,32,32,8,16,32,8,16,16,16,16,16,16,1,2,3,4,1,1,1,6,
1,3,2,4,2,2,2,4,2,2,2,4,8,4,2,8,4,8,8,2,2,8,8,8,8,4,4,4,16,4,4,4,4,4,6,4,6,4,
4,6,6,8,4,8,8,16,4,4,4,16,4,4,4,4,4,4,4,4,4,4,8,12,12,8,8,8,4,8,4,4,8,8,12,4,
4,8,8,8,8,4,8,4,24,4,8,8,8,8,12,24,8,1,2,1,4,1,1,1,4,2,4,4,2,1,2,2,1,2,2,1,2,
2,1,1,2,6,2,1,2,2,1,2,4,2,2,2,1,8,4,4,6,2,2,6,2,2,4,4,6,4,4,2,4,2,4,2,2,2,2,4,
2,2,4,6,4,2,2,4,4,6,4,2,2,4,4,6,2,2,2,4,6,2,2,4,2,4,6,6,4,4,4,4,4,4,4,4,4,4,8,
4,4,4,4,4,4,12,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,3,1,1,1,3,2,1,2,2,2,1,3,1,2,
2,2,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,2,4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,2,
1],[1,1,6,16,16,16,8,1,3,3,8,8,4,4,4,8,4,8,4,32,16,8,32,8,32,32,32,64,3,1,1,3,
4,4,8,4,4,3,4,4,8,8,2,4,2,8,8,2,4,4,16,4,4,4,2,8,8,8,12,12,4,8,12,8,8,12,8,4,
12,4,8,4,12,12,4,8,8,8,8,8,8,8,8,8,8,8,4,12,8,16,16,16,8,8,8,16,8,24,16,8,8,
24,1,1,1,1,1,1,2,4,2,1,4,3,2,2,2,3,6,2,2,1,1,2,8,3,2,2,2,2,1,2,2,2,2,2,2,6,2,
2,4,4,2,4,4,2,2,6,2,2,2,2,6,2,2,4,4,4,4,2,4,4,4,4,2,6,4,2,4,2,6,2,2,2,2,2,4,8,
8,8,8,8,8,8,4,8,8,4,4,4,8,8,4,4,4,4,8,4,8,8,8,8,8,8,16,8,8,16,16,8,8,8,8,16,8,
8,8,8,1,1,1,1,2,1,3,2,2,2,2,1,1,2,1,1,2,1,2,2,2,2,1,2,1,1,2,2,2,2,1,4,2,2,2,4,
2,2,2,4,2,2,2,2,2,4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,4,2,2,2,4,2,6,4,2,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,8,8,1,1,1,1,1,1,2,2,1,2,1,1,1,1,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,2,12,12,20,24,
1,6,5,1,6,6,2,2,10,8,8,12,12,12,12,12,16,48,48,16,64,2,4,1,3,4,2,2,4,2,3,2,3,
3,4,2,4,10,4,4,10,6,4,8,2,12,6,2,8,6,4,2,4,4,6,2,8,6,4,4,4,4,4,4,8,8,4,4,4,4,
4,4,12,8,8,4,4,4,8,8,12,8,8,8,12,4,12,8,8,8,4,4,4,4,4,4,16,16,16,16,16,16,16,
16,16,16,16,1,1,1,2,2,2,4,2,2,2,2,1,1,1,1,2,3,2,1,3,2,3,2,2,2,2,1,3,1,2,2,2,2,
1,4,4,4,8,4,4,4,6,2,4,2,4,4,2,2,4,2,2,6,2,4,2,4,4,2,2,2,4,2,2,2,4,4,4,2,4,2,4,
4,2,2,2,2,2,4,4,2,2,4,2,4,4,2,2,4,2,6,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,8,4,4,4,4,4,4,4,4,4,8,12,4,4,4,8,4,8,4,4,4,4,4,4,4,8,4,8,8,8,8,8,8,8,8,8,
8,8,8,1,1,1,1,2,1,2,1,1,1,1,1,2,2,2,2,2,1,2,1,2,1,3,1,1,1,2,2,1,2,1,1,1,1,1,2,
4,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,4,2,2,4,2,2,2,4,2,2,4,2,2,2,2,2,2,4,2,2,4,4,2,2,2,2,2,2,2,2,2,
2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,2,2,1,2,1,1,1,1,1,1,1,1,1,
1,1,1,2,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,8,32,16,1,3,3,4,4,4,4,4,2,2,16,8,4,8,8,32,
16,8,16,32,32,32,32,32,3,2,2,1,4,4,3,4,2,8,8,2,2,2,4,8,4,4,4,4,4,8,8,8,4,4,4,
4,8,8,8,8,4,4,4,8,4,8,8,8,4,4,4,8,4,8,8,12,4,4,4,4,4,8,8,8,8,8,8,8,8,4,4,4,4,
8,4,4,8,8,8,4,8,24,8,8,16,24,8,16,8,8,8,16,16,8,2,1,1,1,4,1,2,2,3,2,2,4,1,2,2,
4,2,2,2,4,2,4,2,4,3,2,1,3,2,2,1,2,4,1,4,4,4,2,2,6,2,6,2,2,2,4,8,4,4,4,2,2,4,4,
2,2,2,2,2,2,4,4,4,2,2,2,4,2,4,4,4,2,4,6,2,4,4,4,4,4,4,4,4,2,4,6,4,4,4,2,6,4,4,
4,8,8,4,4,4,8,4,4,8,4,4,8,4,8,4,4,4,4,4,4,8,8,8,4,8,4,8,8,4,4,4,8,4,4,8,8,8,8,
8,8,8,8,8,8,8,8,1,1,2,1,1,1,1,2,1,2,1,2,2,1,1,2,1,1,1,2,1,2,2,2,1,1,1,2,3,2,1,
2,1,2,1,2,2,2,4,4,2,2,2,2,2,2,4,4,2,2,2,4,4,2,2,2,4,4,2,2,4,2,2,6,2,4,2,2,4,4,
2,2,2,2,2,2,2,4,2,2,4,4,2,4,2,4,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,2,1,2,
1,1,1,1,2,1,1,1,1,1,1,1,1,2,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1],[1,1,2,12,12,20,8,1,6,1,5,6,6,6,6,10,16,4,12,12,12,
12,16,16,16,2,4,2,1,3,2,4,2,2,6,3,6,3,3,6,8,2,4,4,6,10,4,4,10,8,12,6,2,6,4,10,
4,14,2,6,12,4,12,12,12,12,12,12,12,12,12,4,12,12,12,8,4,16,16,4,4,12,8,12,4,4,
8,4,12,4,1,2,2,3,3,2,4,2,6,3,3,3,3,2,3,3,3,2,3,3,3,6,3,3,4,4,4,4,4,4,2,6,6,6,
2,4,2,4,6,4,6,2,2,6,4,12,2,6,2,6,2,4,4,2,2,6,6,2,6,4,6,4,2,6,2,2,2,6,4,6,8,4,
4,12,4,12,12,12,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,
4,8,4,4,4,16,4,4,4,8,1,1,1,3,1,1,2,6,2,3,3,1,1,3,1,2,3,1,3,6,3,3,3,2,3,3,3,3,
3,2,2,6,6,2,6,6,6,6,6,4,2,2,2,6,2,2,2,2,6,6,2,2,6,6,6,2,2,2,4,2,2,6,2,2,6,2,2,
2,2,2,2,4,2,2,2,2,6,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,3,1,1,1,3,1,1,2,2,1,
1,1,3,3,1,1,1,1,1,1,3,1,1,3,1,1,1,1,1,1,2,6,2,2,2,2,2,2,2,2,6,2,2,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,1,10,4,20,20,16,5,2,1,5,2,10,8,2,2,10,12,8,8,4,12,
12,52,8,16,48,16,32,32,2,2,1,1,4,4,2,2,4,2,3,2,13,1,2,4,16,4,2,8,4,2,6,8,4,4,
10,4,8,4,6,2,4,2,4,6,4,4,6,2,6,4,4,4,16,8,4,8,8,4,12,4,4,8,4,4,8,4,8,4,8,16,
12,8,12,4,4,4,4,16,8,8,8,4,8,8,4,8,8,8,8,24,16,8,8,24,16,8,2,1,1,1,1,2,4,2,2,
1,2,2,3,1,4,2,1,2,4,1,2,3,1,1,2,2,1,2,1,2,2,2,2,3,2,2,4,4,4,2,2,2,2,2,2,4,2,2,
2,2,4,4,4,4,2,2,6,4,6,4,2,2,6,2,4,6,2,6,2,6,2,2,4,2,2,2,2,4,2,4,2,4,2,4,2,2,2,
2,4,4,4,4,2,8,8,4,4,4,8,4,4,4,4,8,4,4,4,4,4,4,4,8,4,8,4,4,4,8,4,4,4,4,4,12,8,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,8,8,8,8,8,8,8,8,1,1,1,1,1,2,1,1,1,1,
1,2,2,2,2,1,1,2,2,1,2,1,2,3,1,1,2,1,1,1,2,2,1,1,2,2,1,2,2,4,4,2,2,4,4,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,2,2,2,2,2,2,2,2,4,6,2,2,2,4,2,4,2,2,4,2,2,2,2,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,2,1,1,1,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1],[1,1,18,16,24,9,6,4,8,24,12,4,4,48,24,48,2,6,2,9,6,18,2,2,6,12,2,16,4,12,
12,4,12,4,8,8,8,4,8,12,12,8,4,4,8,48,8,2,1,1,9,2,6,6,6,6,2,2,6,2,2,4,12,4,4,
12,4,6,6,6,12,2,4,6,4,4,4,8,4,4,4,8,4,4,4,4,4,4,4,12,8,8,8,8,1,1,1,1,2,2,2,2,
2,2,1,1,1,6,6,2,2,2,6,6,6,4,2,2,4,6,2,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1,1,1,2,2,
1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,6,8,8,16,32,1,3,3,4,4,4,2,2,8,16,4,16,
8,16,16,8,32,32,32,32,32,32,3,1,3,4,4,4,4,4,2,4,4,2,2,2,8,4,8,4,8,4,12,4,8,12,
16,16,12,12,4,4,4,8,8,8,4,4,4,4,8,8,12,4,4,4,4,4,24,8,8,8,8,24,8,4,4,4,4,8,4,
4,8,4,24,8,8,16,24,8,16,8,8,8,16,16,8,1,1,3,2,3,4,4,4,2,6,3,2,2,8,1,2,2,2,2,2,
2,2,4,2,3,2,1,3,2,2,2,1,2,1,8,4,4,4,2,2,6,2,12,6,2,2,2,4,2,2,12,2,2,2,2,12,2,
2,4,4,2,2,2,2,2,4,6,2,4,4,4,4,12,2,12,6,4,2,6,12,4,4,4,4,4,8,8,4,4,4,8,4,4,4,
4,4,8,4,4,24,8,4,8,4,4,4,4,4,24,4,4,8,8,8,8,8,8,8,8,8,8,8,8,1,3,1,1,1,1,4,2,1,
6,1,2,2,1,1,1,1,1,2,1,2,2,1,1,1,2,3,6,2,2,1,1,2,1,2,2,2,2,2,2,2,2,4,2,2,2,4,
12,2,2,2,4,2,2,4,4,2,2,2,2,2,4,6,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,2,
2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,4,4,2,2,2,2,4,2,4,8,4,4,4,4,4,4,4,4,1,1,1,
1,1,1,1,1,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,4,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,8,8,8,1,
3,3,2,2,4,4,4,8,8,4,4,16,4,8,8,16,8,8,3,1,1,1,2,1,2,3,4,4,4,8,2,3,2,8,2,2,2,2,
2,2,4,4,4,4,12,4,12,4,8,4,4,4,4,4,4,4,4,4,2,8,8,4,4,12,8,4,8,8,4,12,4,4,8,4,4,
4,4,8,8,4,4,8,8,8,8,8,8,8,8,8,1,1,1,3,3,1,4,4,1,8,3,2,2,2,2,2,1,2,2,2,1,2,3,4,
2,2,1,2,2,6,2,2,2,3,2,2,2,2,2,4,2,8,2,4,2,4,4,12,4,4,4,2,2,2,2,2,2,2,2,2,2,4,
4,4,2,4,4,2,2,4,4,6,2,2,2,2,8,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,1,3,
1,2,4,1,1,2,2,2,1,2,3,2,1,2,2,1,2,1,2,2,2,1,2,1,1,2,2,2,4,2,2,1,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
2,2,2,6,2,2,2,2,2,2,4,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,1,1,2,1,1,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,20,4,20,16,5,2,1,5,10,2,
8,2,2,10,12,8,8,52,12,12,4,8,48,16,16,32,32,2,2,1,1,4,4,2,2,4,2,3,2,1,13,2,4,
4,16,2,4,4,2,6,8,4,4,6,4,8,4,6,2,6,8,10,4,4,6,2,4,2,16,4,8,4,4,8,4,8,4,12,4,
12,8,4,8,4,8,16,4,8,4,16,8,4,8,12,4,4,4,4,8,8,8,4,8,4,8,8,8,16,8,8,8,24,8,16,
24,2,1,1,1,1,2,4,2,2,2,1,2,2,1,3,2,3,2,1,1,1,1,2,2,4,2,1,2,1,2,2,2,2,3,2,4,4,
4,2,6,2,2,4,2,2,2,2,2,2,4,4,4,4,2,2,6,4,2,4,2,2,2,2,6,2,2,2,2,2,2,4,6,2,2,6,4,
2,2,4,2,4,4,2,4,2,2,2,4,4,4,4,4,6,8,4,4,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,8,4,8,
4,4,4,4,4,4,4,4,4,8,4,4,8,4,4,4,4,4,4,4,4,4,4,12,8,4,4,8,4,4,8,8,8,8,8,8,8,8,
8,1,1,1,1,2,1,1,1,1,1,2,1,1,1,1,2,1,1,2,1,2,1,2,1,1,1,2,1,2,2,2,2,2,1,2,2,3,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,2,2,6,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,2,4,4,2,2,4,4,2,2,2,2,2,2,4,2,4,4,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,2,1,1,1,1,1,1,1,
1,2,1,1,2,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1],[1,1,14,8,8,24,8,1,7,7,2,2,4,4,12,2,2,12,4,4,4,24,24,8,
24,8,32,32,32,7,1,1,3,4,2,2,9,8,12,8,4,2,6,6,2,6,6,2,6,2,8,8,4,4,4,4,4,4,4,4,
12,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,16,8,8,16,16,16,16,16,16,1,1,1,
1,3,4,1,1,1,3,1,3,2,8,2,2,2,4,2,2,2,2,2,2,2,2,2,6,2,2,2,8,2,2,2,6,2,2,2,8,2,2,
2,4,4,4,4,4,4,4,6,4,4,6,16,6,6,8,4,8,4,8,4,4,4,4,4,4,4,4,8,8,4,8,8,4,4,4,4,8,
4,8,8,8,8,4,8,4,8,4,8,8,8,8,4,8,8,8,1,1,1,1,1,1,1,1,1,4,4,2,2,1,2,2,1,2,2,1,2,
2,1,2,2,2,1,2,2,2,2,1,2,2,2,1,2,4,2,2,2,8,1,4,4,2,2,2,2,6,6,4,2,8,4,2,2,2,2,2,
2,2,2,2,2,2,2,4,2,2,4,4,4,2,2,2,2,4,6,2,2,8,4,2,4,2,2,4,4,8,8,4,1,1,1,1,1,1,1,
1,1,1,1,4,2,1,1,1,1,1,1,1,1,1,2,2,2,2,3,1,1,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,18,16,24,9,6,4,8,24,12,4,4,48,
24,48,2,6,2,9,2,18,6,2,6,12,2,16,12,4,4,12,12,4,8,8,4,8,8,12,12,8,4,4,8,48,8,
2,1,1,9,2,6,6,6,6,2,6,2,2,2,4,12,6,4,12,6,6,12,4,2,4,6,4,4,4,4,4,4,4,8,4,8,4,
4,4,12,4,4,4,8,8,8,8,1,1,1,1,2,2,2,2,2,2,1,1,6,1,6,2,2,6,2,6,4,6,6,4,2,2,2,4,
4,2,2,4,4,4,4,4,4,1,1,1,2,2,1,1,1,2,2,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
6,16,16,8,16,1,3,3,2,2,8,8,4,2,2,4,8,4,8,32,8,8,32,16,32,32,96,3,1,1,1,2,2,3,
4,4,8,2,2,2,2,8,8,4,2,4,8,4,8,4,4,8,4,4,4,8,16,4,8,8,8,8,8,8,4,4,8,8,4,12,4,8,
8,4,4,4,8,4,8,12,4,4,4,4,8,4,8,8,8,8,4,4,4,12,4,4,8,4,8,24,24,16,8,8,16,24,8,
8,16,16,8,1,1,1,1,1,1,1,1,4,2,2,3,2,2,4,4,4,3,2,2,2,6,4,2,2,2,2,2,4,8,2,2,1,1,
1,2,1,2,2,3,4,4,4,4,4,4,4,2,2,2,2,4,2,2,6,2,8,4,8,2,2,2,2,2,2,2,2,4,4,2,2,2,4,
2,4,8,4,2,2,4,2,8,4,4,2,4,2,4,4,2,2,4,4,4,4,4,8,12,12,12,4,12,8,4,12,8,8,4,4,
8,8,8,4,8,8,8,8,4,8,4,8,4,8,12,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,2,1,1,
2,3,3,1,1,2,2,4,1,2,1,1,1,1,1,1,2,1,2,1,1,1,1,1,1,2,1,1,2,1,2,1,1,1,2,3,2,1,1,
2,4,4,4,4,4,2,4,2,2,2,2,2,2,2,2,2,2,2,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,
2,2,4,2,2,2,2,2,2,2,2,4,2,2,4,4,4,2,2,2,2,2,4,4,2,2,2,2,4,2,4,8,4,8,4,4,1,1,1,
1,1,1,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,
1,1,4,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,18,16,24,9,
6,4,8,24,12,4,4,24,48,48,2,6,2,9,6,18,2,2,6,12,2,16,4,12,12,4,12,4,8,8,8,4,12,
8,12,8,4,4,8,48,8,2,1,1,9,2,6,6,2,6,6,2,2,2,6,4,12,4,4,12,12,4,6,4,6,4,6,2,6,
4,4,8,4,8,4,4,4,4,4,4,4,4,4,12,8,8,8,8,1,1,1,1,2,2,2,2,2,6,2,1,1,1,6,2,2,2,6,
6,6,2,2,6,2,2,4,4,4,2,4,4,4,4,4,4,4,1,1,1,2,2,1,1,2,2,1,1,2,2,2,2,2,2,2,2,1,1,
1,1,1,1,1,1],[1,1,10,4,20,20,16,5,2,5,1,2,10,8,2,2,10,12,8,8,4,12,12,52,8,16,
48,16,32,32,2,2,1,1,4,2,4,2,4,2,3,2,13,1,2,4,16,4,2,4,4,6,2,4,4,4,8,6,4,4,6,2,
8,6,2,4,8,6,2,4,10,4,4,4,16,8,4,8,8,4,4,4,4,8,4,4,8,4,8,12,8,16,8,12,8,12,4,4,
4,4,16,8,8,4,8,8,4,8,8,8,8,24,16,8,8,24,16,8,2,1,1,1,1,2,4,2,2,1,2,2,3,1,4,2,
1,4,1,2,3,1,2,1,2,2,2,1,2,1,2,2,2,3,2,2,4,4,4,2,2,4,2,2,2,4,2,2,2,2,4,2,4,2,4,
2,6,2,2,6,2,2,4,6,4,2,2,4,6,6,2,2,2,2,4,2,4,2,4,2,2,2,4,2,2,2,4,4,4,4,4,2,6,8,
4,8,4,4,8,4,4,4,4,4,8,4,4,8,4,4,8,4,8,4,4,4,4,4,4,8,12,4,4,4,4,4,4,8,4,4,4,4,
8,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,1,1,1,1,2,1,1,1,1,2,1,2,2,2,2,1,
1,2,2,1,2,1,2,3,1,1,1,1,2,1,2,2,1,1,2,1,2,2,2,4,4,4,4,2,4,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,4,2,2,2,2,2,2,4,
2,2,2,2,2,2,2,2,2,4,6,2,2,2,2,2,2,2,2,4,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,
1,1,1,1,1,1,2,1,2,1,2,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,10,20,4,
20,16,5,2,5,1,10,2,8,2,2,10,12,8,8,52,12,12,4,8,48,16,16,32,32,2,2,1,1,4,2,4,
2,4,2,3,2,1,13,2,4,4,16,2,4,6,2,4,4,4,8,2,4,4,6,2,4,10,4,6,4,8,6,2,8,6,16,4,8,
4,4,8,4,8,4,4,4,12,8,4,8,4,8,16,4,8,12,16,8,8,4,8,12,4,4,4,4,8,8,4,8,4,8,8,8,
16,8,8,8,24,8,16,24,2,1,1,1,1,2,4,2,2,2,1,2,2,1,3,2,3,1,1,1,2,1,2,2,4,2,2,1,2,
1,2,2,2,3,2,4,4,4,2,6,4,2,4,2,2,2,2,2,2,4,4,2,2,4,2,2,2,2,2,2,2,6,4,2,2,4,2,2,
2,2,2,6,4,2,4,6,4,2,4,2,2,4,4,4,2,2,2,4,4,4,4,6,6,4,4,4,8,4,4,4,8,4,4,4,4,4,4,
8,4,8,4,4,8,4,4,4,4,4,4,4,4,8,4,4,4,8,4,4,4,4,8,4,4,8,4,4,4,4,8,12,4,4,4,4,4,
4,8,8,8,8,8,8,8,8,1,1,1,1,2,1,1,1,1,1,1,1,1,2,2,1,2,1,1,2,1,2,1,1,1,1,2,2,1,2,
2,2,2,2,1,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,4,2,
6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,4,4,2,2,2,2,2,2,4,2,2,4,2,4,2,2,2,2,4,
4,2,2,2,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,
2,1,1,1,1,1,1,1,1,1,1,1,2,2,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,16,16,48,8,1,3,3,8,8,4,8,8,24,4,
16,4,32,48,8,32,8,32,32,96,64,3,1,1,3,8,8,12,3,12,8,8,8,2,12,2,8,8,2,12,12,16,
4,4,4,2,8,8,8,12,12,4,8,28,8,8,12,8,4,28,4,8,4,28,12,4,8,8,8,24,24,8,8,8,24,
24,4,28,8,16,16,48,16,8,8,8,16,8,56,16,8,8,48,48,48,56,1,1,1,1,3,3,6,4,2,1,8,
3,2,2,2,3,6,2,1,1,2,8,3,6,6,2,1,6,2,2,2,2,2,14,2,2,4,4,2,12,4,4,2,2,14,2,2,2,
2,14,2,2,4,4,2,4,12,2,6,4,2,12,2,14,2,2,2,2,2,4,24,24,8,8,8,24,24,8,24,8,24,
24,4,8,24,4,4,4,24,8,24,4,4,4,4,8,4,8,8,8,8,8,8,8,8,8,8,16,8,8,8,16,8,16,8,8,
8,8,8,8,8,16,8,8,8,8,8,8,8,1,1,3,3,4,6,1,3,2,2,2,6,6,1,1,6,1,1,1,2,2,2,1,6,1,
1,6,2,2,1,8,8,2,2,2,4,2,2,2,12,2,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,4,12,2,4,
2,2,2,4,2,2,2,2,14,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,24,4,24,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,1,3,3,4,4,1,1,1,2,1,2,1,1,
1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,1,
1,1,1,1,1,1,2,2,2,2,1],[1,1,2,12,12,20,24,1,6,1,5,6,6,2,2,10,8,8,12,12,12,12,
12,16,48,48,16,64,2,4,1,3,2,4,2,4,2,3,2,3,3,4,2,4,10,8,4,6,10,4,4,6,8,12,6,2,
4,2,8,6,4,6,2,4,2,4,4,4,4,4,4,8,8,4,4,4,4,4,12,8,12,8,8,4,4,4,8,8,4,8,8,12,4,
12,8,8,4,4,4,8,4,4,4,16,16,16,16,16,16,16,16,16,16,16,1,1,1,2,2,2,4,2,2,2,2,1,
1,1,1,2,2,3,2,1,3,2,2,3,2,2,2,1,3,1,2,2,2,1,4,4,4,8,4,2,4,6,2,4,2,4,2,2,4,4,2,
4,6,2,2,6,4,4,4,2,2,2,2,2,4,4,4,4,4,2,2,4,2,2,2,2,4,2,4,4,2,2,2,4,2,4,4,2,2,4,
2,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,
4,4,12,4,4,4,4,8,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,2,2,1,1,1,1,1,1,2,2,2,
2,2,1,2,1,2,1,2,3,1,1,1,2,1,2,1,1,1,1,1,2,4,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,4,
2,4,4,2,2,2,2,2,4,4,2,2,2,2,4,2,2,2,2,4,2,2,4,2,2,4,2,2,2,2,2,4,2,2,2,2,2,2,4,
2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,
1,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,6,8,8,
40,8,1,3,3,2,2,4,4,4,4,4,20,4,8,4,8,40,16,8,8,64,3,1,1,1,2,1,2,3,4,4,10,3,10,
4,2,2,2,10,2,2,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,2,8,8,4,4,12,8,4,8,8,4,12,
4,4,8,4,4,4,4,16,16,8,8,16,8,16,4,4,8,16,8,8,8,8,8,8,8,16,16,16,8,1,1,1,1,1,5,
1,4,3,2,2,2,2,2,1,2,2,1,2,3,4,2,2,1,2,2,4,2,2,2,3,4,2,2,2,2,2,4,2,8,2,4,2,4,4,
4,4,4,2,2,2,2,2,2,2,2,2,2,4,4,4,2,4,4,4,4,8,2,2,4,4,6,8,2,2,2,2,8,2,2,2,4,8,8,
8,4,4,8,8,4,8,8,8,4,4,4,4,4,8,4,4,4,4,8,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,
1,2,1,2,1,1,2,2,2,1,3,2,1,2,1,1,2,1,2,2,2,1,1,2,2,2,4,2,1,4,4,4,2,2,2,2,2,2,4,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,2,2,4,4,4,2,2,2,2,2,2,4,2,2,2,2,2,2,4,2,
2,4,2,2,6,2,2,2,2,2,2,4,2,2,2,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,8,8,1,1,1,1,
1,1,1,1,1,2,1,1,2,2,2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,10,24,5,10,4,6,6,12,12,48,2,10,2,15,6,10,2,
6,6,6,6,8,12,4,4,12,12,8,8,12,12,12,8,8,8,5,2,2,3,3,6,2,10,6,6,6,6,4,6,12,6,
12,4,6,4,6,6,4,4,4,4,4,4,8,12,4,4,8,4,12,12,4,8,8,1,3,1,1,2,2,6,3,2,6,1,1,6,2,
2,4,2,6,2,2,6,6,2,2,6,6,4,4,4,4,4,4,4,1,1,1,2,3,2,1,3,2,1,2,2,2,2,2,2,2,1,1,1,
1,1,1,1,1],[1,1,18,16,24,9,6,4,8,24,12,4,4,24,48,48,2,6,2,9,2,18,6,2,6,12,2,
16,12,4,4,12,12,4,8,8,4,8,12,8,12,8,4,4,8,48,8,2,1,1,9,2,6,6,2,6,2,6,2,6,2,4,
12,6,12,4,12,4,6,4,6,4,2,6,4,4,4,4,4,4,8,8,4,4,4,4,12,4,4,4,8,8,8,8,1,1,1,1,2,
2,2,2,2,2,6,1,1,6,1,2,2,6,2,4,6,6,6,2,2,2,4,2,2,4,4,4,4,4,4,4,4,1,1,1,2,2,1,1,
2,2,1,1,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,18,8,32,9,6,24,8,32,6,2,9,18,16,
24,24,9,6,16,2,8,16,24,1,6,8,2,2,1],[1,1,18,5,8,3,9,9,18,5,8,6,3,1,3,9,18,9,
18,9,9,4,5,3,3,18,18,24,3,3,9,9,9,9,9,4,1,1,2,3,3,3,3,3,3,6,18,9,4,8,1,1,3,3,
3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,6,36,5,8,1,3,3,3,3,18,72,5,8,6,6,6,3,1,3,
3,9,9,9,9,9,18,18,4,1,5,1,3,3,3,3,8,12,12,24,1,3,3,9,9,9,9,4,1,1,1,2,3,3,3,3,
3,3,3,3,3,6,12,3,4,4,4,1,1,1,1,3,3,2,3,3,3,3,1,4,1,3,1,1,1,1],[1,1,6,5,8,1,3,
3,6,6,5,8,6,3,3,3,1,6,6,3,3,3,4,4,5,4,3,3,8,6,6,3,1,3,3,3,3,3,4,1,1,4,2,3,3,3,
3,3,3,6,6,3,4,4,4,1,1,1,1,2,3,3,3,3,3,3,1,4,1,3,1,1,1,1],[1,1,6,36,5,8,1,3,3,
18,18,5,8,6,24,36,24,3,1,3,9,18,9,18,18,4,5,3,3,8,18,18,24,24,1,9,9,9,9,9,9,4,
4,4,1,1,2,3,3,3,3,3,3,6,18,24,9,4,4,4,1,1,3,3,2,3,3,3,3,3,3,6,6,1,4,3,3,6,1,1,
1,1],[1,1,18,36,5,8,3,6,3,9,18,5,8,6,24,36,24,3,1,3,9,9,18,9,9,18,4,1,4,3,3,6,
18,12,24,3,3,9,9,9,9,9,4,4,4,1,1,2,3,3,3,3,3,3,6,12,6,9,4,4,4,1,1,3,3,3,3,3,3,
3,3,6,1,4,3,3,1,1,1,1],[1,1,18,5,8,3,9,9,18,5,8,6,3,1,3,9,18,9,18,9,9,4,5,3,3,
18,18,24,3,3,9,9,9,9,9,4,1,1,2,3,3,3,3,3,3,6,18,9,4,8,1,1,3,3,3,3,3,3,3,3,6,1,
4,3,3,1,1,1,1],[1,1,18,36,5,8,3,3,6,9,18,5,8,6,24,36,24,3,1,3,9,9,9,18,9,18,4,
4,1,3,3,12,18,6,24,3,3,9,9,9,9,9,4,4,4,1,1,2,3,3,3,3,3,3,6,12,6,9,4,4,4,1,1,3,
3,3,3,3,3,3,3,6,1,4,3,3,1,1,1,1],[1,1,12,12,18,2,2,1,6,6,6,6,9,9,72,2,2,4,4,6,
12,6,12,12,6,6,9,9,9,9,9,9,9,18,18,1,2,2,2,2,2,2,6,6,6,6,6,6,6,6,12,12,12,12,
9,9,9,9,9,9,9,1,1,1,4,4,2,2,6,6,6,6,6,6,6,6,6,6,6,6,9,1,1,1,2,2,2,2,4,4,6,6,1,
1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,10,40,5,10,20,20,40,16,10,15,10,10,
10,20,20,16,32,5,5,5,10,20,10,20,20,16,1,5,5,10,10,5,1,1],[1,1,10,5,10,10,10,
20,16,10,15,10,10,10,20,20,16,5,5,5,10,20,10,20,20,16,1,5,5,10,10,5,1,1],[1,1,
30,1,15,15,60,16,15,15,20,45,60,16,15,15,20,45,60,16,6,10,15,1,1,1],[1,1,2,24,
16,1,6,12,6,6,12,12,16,32,32,6,4,2,3,12,6,6,6,6,8,12,12,12,12,12,24,24,16,16,
16,1,2,2,3,3,12,6,6,6,6,12,12,12,12,12,12,24,24,4,8,8,16,3,3,3,6,6,6,6,6,12,
12,4,4,4,8,8,8,8,1,3,3,6,6,4,8,3,1,1],[1,1,2,24,16,1,6,12,6,6,12,12,16,32,32,
6,4,2,3,12,6,6,6,6,8,12,12,12,12,12,24,24,16,16,16,1,2,2,3,3,12,6,6,6,6,12,12,
12,12,12,12,24,24,4,8,8,16,3,3,3,6,6,6,6,6,12,12,4,4,4,8,8,8,8,1,3,3,6,6,4,8,
3,1,1],[1,1,14,24,16,1,7,7,12,6,6,12,12,12,24,16,32,7,3,4,2,9,12,6,6,6,6,6,8,
12,12,12,12,12,12,12,12,24,24,24,24,24,24,16,16,16,1,3,4,2,2,3,3,3,3,3,4,6,6,
6,6,6,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,12,24,4,8,8,16,1,2,2,3,3,3,3,3,
3,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,4,4,8,8,8,8,1,3,3,6,6,6,6,4,8,8,1,1,
1],[1,1,30,24,24,16,1,15,15,12,12,60,72,72,72,16,32,32,15,15,20,45,60,12,18,
18,24,24,36,36,144,144,12,16,16,16,15,3,3,15,20,45,60,18,18,18,18,18,36,36,36,
36,8,12,16,24,24,6,10,15,3,9,18,18,18,18,36,36,8,12,12,12,1,9,9,12,12,1,12,3,
1,1,1,1],[1,1,30,72,4,1,15,15,6,6,60,36,72,288,4,24,24,24,15,3,3,15,20,6,6,45,
12,60,12,18,18,18,36,36,36,36,72,72,72,72,4,4,4,12,12,12,12,96,15,3,15,20,9,
45,12,12,12,12,12,60,18,18,18,18,18,18,18,18,24,24,36,36,36,36,36,36,36,36,72,
72,1,4,4,12,12,12,12,12,12,12,12,12,24,6,10,15,6,9,9,12,12,12,12,12,18,18,18,
18,18,18,24,36,36,36,36,36,36,36,1,1,1,3,3,3,3,4,4,4,12,12,12,12,1,3,3,12,12,
12,12,18,18,1,1,3,3,3,3,3,3,3,3,3,4,6,3,1,1,1,3,3,3,3,1],[1,1,2,24,16,1,6,6,6,
24,12,16,32,32,4,2,3,6,6,6,6,6,8,6,6,12,18,6,24,12,12,12,12,16,16,16,1,2,2,3,
3,6,6,6,12,6,6,6,6,6,12,12,12,12,12,12,12,12,4,8,8,16,3,6,3,3,3,3,6,6,6,6,6,6,
6,4,8,4,4,4,8,4,4,4,1,3,3,3,3,3,3,4,4,4,3,1,1],[1,1,2,48,16,1,6,6,6,24,12,48,
16,32,32,32,4,2,3,6,6,12,6,6,6,8,12,12,12,24,24,24,16,16,16,64,1,2,2,3,3,6,6,
12,6,12,12,6,12,12,12,12,24,24,4,8,8,16,3,6,3,3,6,6,6,6,12,12,4,4,4,8,8,16,1,
3,3,6,6,4,8,3,1,1],[1,1,2,12,12,12,16,1,6,1,1,6,6,6,6,6,12,12,12,12,12,16,32,
4,2,1,3,6,3,6,3,3,6,8,6,6,6,12,6,6,6,12,6,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,16,16,16,1,2,2,3,3,6,3,3,3,3,3,3,3,3,3,3,6,3,3,4,4,4,4,4,4,6,6,
6,6,6,12,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,4,8,8,16,1,1,1,3,2,6,3,3,3,3,3,6,
3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,8,4,4,8,4,1,3,3,3,3,3,
3,6,6,4,4,4,8,1,1,1],[1,1,10,16,5,10,6,6,12,16,64,10,2,15,10,6,6,6,8,12,12,32,
16,5,2,2,3,3,10,6,6,12,6,12,12,4,8,8,16,1,3,6,3,6,6,6,4,8,8,8,1,3,3,4,1,1,1],[
1,1,6,32,24,16,3,16,4,3,3,12,12,18,24,12,48,48,16,32,32,1,9,6,3,12,6,8,6,6,6,
36,12,12,12,6,12,24,12,24,12,12,6,12,12,24,48,12,12,12,12,4,16,16,16,1,1,3,3,
6,9,6,3,3,3,6,6,3,6,3,12,6,6,6,6,6,6,3,12,6,12,6,6,6,6,12,12,6,6,6,6,6,6,12,
12,12,12,4,8,8,16,1,3,3,3,6,2,6,6,6,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,
4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,6,32,24,16,3,16,4,3,3,12,12,18,48,24,
12,48,16,32,32,1,9,6,3,12,6,8,6,6,6,24,12,12,12,12,12,6,36,24,12,12,12,6,12,
24,12,12,12,12,48,4,16,16,16,1,1,3,3,6,3,9,3,3,6,6,12,3,6,6,3,6,6,6,6,6,3,6,6,
6,6,12,6,6,12,6,6,12,6,6,12,6,6,12,12,12,12,4,8,8,16,1,3,3,3,6,2,3,3,3,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,12,1,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,10,
48,4,5,10,8,6,6,24,12,96,4,8,16,16,4,10,15,4,10,12,12,6,6,12,24,24,12,12,24,
24,24,12,24,24,4,8,8,4,4,8,8,32,5,3,3,12,4,10,12,12,8,12,12,12,12,12,12,24,6,
12,12,12,12,12,12,12,12,12,12,12,24,1,8,4,4,4,4,4,4,4,8,8,8,1,3,3,3,4,4,12,3,
3,6,3,6,12,6,6,12,12,6,6,6,6,12,12,12,12,1,1,2,1,2,2,2,4,4,4,4,4,4,4,3,4,3,3,
6,6,6,6,6,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,6,8,24,12,36,16,3,3,
3,4,12,4,6,6,6,6,18,24,12,12,24,36,8,48,24,96,16,32,16,16,32,1,3,1,1,3,6,6,6,
9,3,8,2,12,12,3,6,3,3,3,6,3,12,6,6,6,6,3,6,12,6,12,12,12,6,6,12,12,12,12,12,
12,6,6,12,6,12,6,12,6,6,6,12,6,24,24,24,24,24,24,24,24,16,4,16,8,16,16,32,32,
1,1,1,3,3,3,3,3,3,6,6,3,3,3,3,2,6,6,6,6,3,6,3,3,6,6,3,3,6,3,3,3,3,3,3,6,3,3,6,
3,6,6,12,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,
6,24,24,24,24,4,4,4,4,4,8,8,8,16,16,1,3,3,3,3,3,3,3,6,3,6,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,6,3,3,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,8,
8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,6,32,12,12,16,3,3,3,
16,4,6,18,12,6,12,12,48,12,8,48,24,16,32,32,1,3,1,1,6,3,12,3,9,8,12,2,6,3,6,3,
3,18,3,6,3,6,6,3,18,6,24,6,6,6,6,12,6,12,12,6,36,6,6,6,6,24,24,24,24,16,4,16,
8,16,16,1,3,1,1,3,9,9,6,3,3,3,3,3,3,2,12,12,6,3,3,3,3,3,3,3,6,6,3,6,3,6,6,3,3,
6,3,3,6,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,4,4,4,8,8,8,16,16,3,1,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,
3,3,3,3,3,6,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,6,32,12,12,16,3,3,3,16,4,6,18,12,6,48,
12,12,12,8,48,24,16,32,32,1,3,1,1,6,3,12,3,9,12,8,2,3,6,3,3,3,6,3,18,6,18,6,3,
6,36,6,6,6,12,24,6,6,12,6,12,6,6,6,6,6,24,24,24,24,16,4,16,8,16,16,1,3,1,1,3,
3,9,3,3,6,3,3,3,9,12,2,12,6,3,3,3,3,3,6,3,3,3,3,6,3,3,6,3,3,6,6,6,3,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,4,4,4,8,8,8,
16,16,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,6,3,6,3,3,3,
3,3,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,
4,4,4,3,1,1,1,1],[1,1,30,8,8,16,1,15,15,4,4,60,24,24,24,16,32,32,15,15,20,45,
60,4,6,6,8,8,12,12,48,48,12,16,16,16,15,1,1,15,20,45,60,6,6,6,6,6,12,12,12,12,
8,12,8,8,16,6,10,15,1,3,6,6,6,6,12,12,8,4,12,4,1,3,3,4,4,1,4,1,1,1,1,1],[1,1,
18,32,16,9,6,16,24,12,12,48,96,16,32,32,6,2,9,18,6,24,6,32,24,12,24,24,24,12,
96,12,16,16,16,4,3,3,9,6,6,12,6,6,6,24,24,12,12,12,6,12,12,8,12,8,24,16,1,3,6,
6,12,3,12,6,6,12,12,4,4,12,8,3,4,3,3,6,1,4,3,1,1,1,1],[1,1,6,24,8,24,24,16,3,
12,4,4,9,9,12,6,12,24,24,12,24,24,96,48,96,16,32,16,16,32,1,3,3,9,6,9,6,6,6,8,
6,6,6,6,6,12,12,12,12,12,12,12,12,12,24,12,12,12,6,12,12,12,12,12,12,12,12,6,
12,24,24,12,48,24,24,24,24,24,12,12,12,12,4,16,16,16,32,32,1,3,1,6,3,3,3,3,3,
6,6,6,6,6,3,6,3,6,6,6,6,6,6,6,6,6,3,6,12,12,12,6,6,12,6,6,12,12,12,12,6,6,6,6,
12,6,6,24,12,24,12,12,24,12,24,24,12,12,24,24,24,12,24,12,24,4,4,4,8,8,16,1,3,
3,3,2,3,6,6,6,3,3,3,6,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,12,24,1,4,
4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,6,8,24,24,24,16,
3,4,12,4,9,9,12,6,12,24,24,12,24,24,96,48,96,16,32,16,16,32,1,3,3,9,6,9,6,6,6,
8,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,6,12,12,24,12,12,12,12,12,
6,12,24,24,24,12,24,24,48,12,24,12,12,12,24,4,16,16,16,32,32,1,3,1,3,3,3,3,3,
6,6,6,6,6,3,6,3,6,6,6,6,6,6,6,6,6,6,3,12,6,12,12,6,6,12,12,6,6,12,12,12,6,6,
12,6,6,6,6,12,12,24,24,12,24,24,24,24,12,24,24,12,12,24,12,24,12,4,4,4,8,8,16,
1,3,3,3,2,6,6,3,6,6,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,12,6,6,24,12,
1,4,4,4,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,2,2,4,3,1,1,1,2,2,1],[1,1,18,24,8,24,
16,9,6,12,4,24,6,6,12,72,48,24,24,96,16,32,16,16,32,6,2,9,18,6,6,18,6,8,24,12,
24,12,12,12,12,12,24,12,24,12,24,24,24,24,24,72,24,12,16,16,16,32,32,1,3,3,3,
9,6,12,6,6,18,6,6,6,6,12,6,18,6,6,6,6,12,12,24,24,24,24,8,4,4,12,24,8,16,1,3,
3,3,9,6,6,6,6,12,6,6,6,6,4,4,12,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,6,8,8,
48,16,1,3,3,4,4,4,6,6,24,12,24,48,24,96,16,32,32,3,1,3,4,6,12,12,6,6,6,12,8,8,
12,12,12,24,24,24,24,24,24,24,24,48,48,48,48,48,48,4,16,16,16,1,1,1,3,3,6,4,6,
6,6,6,6,6,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,4,8,8,16,1,3,3,4,
6,6,6,6,6,6,8,8,12,12,12,24,24,1,4,4,4,1,3,3,4,4,1,2,2,4,1,1,1,1,1],[1,1,18,8,
24,24,16,9,6,4,12,24,6,6,12,24,48,72,24,96,16,32,16,16,32,6,2,9,18,6,18,6,6,
24,8,12,24,12,12,12,12,12,24,12,24,12,24,24,72,24,24,24,24,12,16,16,16,32,32,
3,1,3,3,9,6,12,6,6,6,6,6,6,18,12,18,6,6,6,6,6,12,12,24,24,24,24,8,4,4,12,8,24,
16,1,3,9,3,3,6,6,6,6,12,6,6,6,6,4,12,4,8,8,8,3,1,3,3,3,3,3,1,4,3,1,1,1,1],[1,
1,18,32,16,9,6,16,24,12,12,96,48,16,32,32,6,2,9,18,6,24,6,32,24,12,24,24,24,
12,96,12,16,16,16,4,3,3,9,6,12,6,6,6,6,24,12,24,6,12,12,12,12,8,12,24,8,16,1,
3,6,6,3,12,12,12,6,12,6,4,12,4,8,3,4,3,3,6,1,4,3,1,1,1,1],[1,1,6,24,24,24,16,
1,3,3,12,12,4,12,12,24,24,24,24,32,96,16,32,32,3,1,3,4,4,12,6,6,6,6,8,12,12,
12,12,12,12,12,12,12,12,24,24,12,12,24,24,24,24,24,24,24,4,16,16,16,8,1,3,3,4,
4,6,6,3,6,6,3,3,3,8,6,6,6,12,6,6,6,12,6,12,6,6,6,6,12,12,12,6,12,12,12,12,12,
12,12,12,12,24,12,12,24,12,4,4,4,16,8,8,8,3,4,3,6,3,3,3,3,3,6,3,3,6,6,12,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,4,
4,4,3,1,1,1,1],[1,1,30,24,16,1,15,15,60,6,6,12,12,12,24,16,16,16,15,15,20,45,
60,6,6,6,6,12,12,12,12,12,12,24,24,24,24,12,16,16,16,15,15,20,3,3,3,3,45,60,6,
6,6,6,12,12,12,12,12,12,12,12,12,24,24,24,24,8,4,4,12,16,6,10,15,3,3,3,3,3,3,
6,6,6,12,12,12,12,12,12,12,12,24,8,4,4,12,8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,1,1,
1],[1,1,6,24,8,12,36,16,3,3,3,12,4,4,6,6,6,6,18,24,12,12,24,36,8,48,24,96,16,
32,16,16,32,1,3,1,1,3,6,6,6,9,3,8,2,12,6,3,6,3,3,6,3,6,3,6,12,6,3,12,6,12,12,
6,12,12,12,12,12,6,6,12,12,12,12,6,6,12,6,12,12,6,6,6,6,6,24,24,24,24,24,24,
24,24,16,4,16,8,16,16,32,32,1,1,1,3,3,3,3,3,6,6,3,3,3,3,3,2,6,3,6,6,6,3,3,3,3,
3,3,6,3,3,3,6,3,6,3,3,6,6,6,3,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,
6,12,12,6,6,6,6,6,6,6,6,6,6,6,24,24,24,24,4,4,4,4,4,8,8,8,16,16,1,3,3,3,3,3,3,
3,6,3,3,6,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,3,3,6,6,6,6,6,6,6,
6,6,6,4,4,4,4,4,4,4,4,4,8,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,
1],[1,1,14,72,4,1,7,7,2,2,12,6,6,36,12,72,192,4,16,16,8,7,1,1,3,4,2,2,9,6,12,
6,6,18,18,6,18,12,12,12,12,12,12,48,48,48,12,48,48,48,48,48,4,4,8,8,4,8,8,32,
1,1,3,4,3,3,9,3,6,4,6,6,3,6,6,12,6,3,12,6,8,8,12,12,12,6,12,12,6,6,6,24,24,24,
12,12,24,24,24,24,12,24,24,12,24,1,4,4,4,4,8,4,4,4,8,8,8,1,2,3,3,6,4,4,3,6,3,
3,6,3,6,3,3,8,6,6,6,6,12,6,6,12,6,6,6,6,6,6,6,12,6,1,1,2,2,1,2,2,4,4,4,4,4,4,
4,1,3,3,3,3,3,3,6,6,6,6,2,1,1,1,1,1,1,1,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,6,24,
16,1,3,3,4,12,12,12,24,12,24,16,16,16,3,1,3,3,12,9,12,6,6,6,12,12,12,12,6,12,
12,12,24,24,12,4,16,16,16,1,3,3,3,4,3,12,9,6,3,6,6,6,6,6,12,6,6,6,6,6,12,6,6,
12,12,12,4,4,4,16,3,3,4,3,3,6,3,3,3,6,6,6,6,6,6,6,6,6,6,1,4,4,4,1,3,3,6,6,1,1,
1,4,3,1,1,1,1],[1,1,6,8,8,24,24,16,1,3,3,6,6,4,4,4,12,12,12,24,24,24,24,32,96,
96,96,16,32,32,3,3,3,1,6,6,3,4,4,4,6,6,6,6,6,6,6,8,8,8,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,
24,24,48,48,64,64,4,16,8,16,16,1,1,3,1,3,3,3,4,4,4,4,4,4,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,4,4,
8,8,8,16,16,16,1,3,3,3,3,4,4,4,6,6,6,6,6,6,6,6,6,8,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,
4,4,4,4,4,4,4,4,4,8,8,8,1,3,3,4,4,6,6,12,12,12,1,4,4,4,8,1,1,1,1,1],[1,1,18,
48,4,9,6,8,24,24,12,12,96,4,24,4,6,2,9,4,18,12,6,12,6,24,12,12,24,12,24,24,24,
12,24,24,4,12,12,8,8,3,3,9,4,12,6,12,12,8,12,12,24,12,12,12,6,12,12,12,12,12,
12,12,12,12,12,24,12,12,1,4,4,12,12,4,4,4,8,8,1,3,3,3,4,4,6,3,3,12,3,6,6,12,6,
12,12,6,6,6,6,12,12,12,12,1,3,3,4,2,2,4,4,4,4,4,4,3,4,3,3,6,6,6,6,6,1,3,1,1,3,
1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,10,48,24,4,5,10,2,6,24,12,12,24,48,96,4,8,
16,16,16,3,1,10,15,6,10,10,6,12,6,12,6,18,18,6,12,12,24,24,12,12,12,24,24,4,8,
8,4,4,8,8,32,5,3,3,9,3,3,1,10,9,9,3,3,2,6,12,6,3,9,12,6,15,21,6,12,6,6,6,6,12,
12,6,12,12,6,12,12,6,6,6,6,6,18,1,8,4,4,4,4,4,4,4,8,8,8,1,3,1,3,3,1,9,3,3,3,3,
3,3,3,3,3,3,9,3,3,3,3,6,3,9,6,12,3,3,6,3,6,6,6,6,6,6,6,6,1,1,2,1,2,2,2,4,4,4,
4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,1,1,1,1,1,1,1,
1],[1,1,10,48,4,5,10,8,6,6,24,12,96,4,16,8,16,4,10,15,12,10,4,12,6,6,24,12,12,
24,12,24,24,24,12,24,24,4,8,4,8,4,8,8,32,5,3,3,12,4,10,12,12,8,12,12,12,24,12,
12,6,12,12,12,12,12,12,12,12,12,12,24,12,12,1,8,4,4,4,4,4,4,4,8,8,8,1,3,3,3,4,
4,3,6,12,3,3,6,6,6,6,6,12,12,6,12,6,12,12,12,12,1,1,1,2,2,2,2,4,4,4,4,4,4,4,3,
4,3,3,6,6,6,6,6,1,1,1,2,1,1,1,1,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,18,48,24,4,9,
6,2,6,24,6,6,24,12,24,48,96,4,24,16,3,1,6,2,9,10,18,6,12,6,6,12,6,18,18,6,12,
24,24,12,24,24,12,12,12,24,24,4,12,12,8,8,3,3,9,3,9,1,3,6,9,3,3,9,2,6,6,21,12,
15,12,6,9,3,6,12,6,6,6,6,12,12,12,6,12,6,12,12,6,6,6,6,6,18,1,4,4,12,12,4,4,4,
8,8,1,3,1,1,3,3,3,3,3,3,3,3,3,3,9,3,3,6,3,3,3,3,3,6,3,12,9,3,9,6,3,6,6,6,6,6,
6,6,6,1,3,3,4,2,2,4,4,4,4,4,4,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,3,3,1,1,2,2,
4,3,1,1,1,1,1,1,1,1],[1,1,30,24,4,1,15,15,2,2,60,12,24,96,4,24,15,1,1,15,20,2,
2,45,4,60,4,6,6,6,12,12,12,12,24,24,24,24,4,12,12,8,8,15,1,15,20,3,45,4,4,4,4,
4,60,6,6,6,6,6,6,6,6,8,8,12,12,12,12,12,12,12,12,24,24,1,4,12,4,4,12,4,4,8,8,
6,10,15,2,3,3,4,4,4,4,4,6,6,6,6,6,6,8,12,12,12,12,12,12,12,1,3,3,4,2,2,4,4,4,
4,4,4,1,1,1,4,4,4,4,6,6,1,3,1,1,3,1,1,2,2,4,1,1,1,1,1,1,1,1,1],[1,1,14,48,24,
4,1,7,7,8,8,12,24,12,12,48,24,96,96,4,8,8,8,16,7,4,4,3,4,8,8,9,6,12,6,12,12,6,
12,6,12,12,24,24,24,12,12,12,12,12,24,12,24,24,24,24,24,24,24,24,24,12,24,24,
4,4,4,4,4,4,4,8,8,8,8,1,4,3,4,3,6,3,3,6,6,6,6,6,4,6,6,12,3,12,12,6,3,6,12,8,8,
12,24,12,12,12,12,6,12,6,6,12,6,6,6,12,6,6,12,12,12,12,12,12,12,12,12,12,12,
12,24,12,12,12,24,12,12,12,12,24,24,12,24,12,24,12,24,12,12,12,12,24,24,1,4,4,
4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,1,2,3,6,3,3,3,4,4,6,3,3,6,6,3,3,3,3,
8,6,6,6,12,6,12,6,6,6,6,12,6,12,12,6,12,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,1,1,1,1,1,1,1,2,2,2,2,4,4,4,4,4,4,4,
8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,12,12,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,4,3,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,6,24,24,16,1,3,3,12,12,4,6,6,12,
24,24,24,16,32,32,3,1,3,12,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
24,24,24,4,16,16,16,1,3,3,4,6,3,3,6,6,3,6,3,6,6,12,6,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,4,16,8,8,3,4,3,3,3,3,3,3,6,6,6,6,6,6,6,12,12,12,12,1,4,4,4,1,3,3,
6,6,1,2,2,4,3,1,1,1,1],[1,1,30,24,4,1,15,15,60,6,6,12,12,12,24,4,24,16,15,15,
20,45,60,6,6,6,6,12,12,12,12,12,12,24,24,24,24,4,12,12,8,8,15,15,20,3,3,3,3,
45,60,6,6,6,6,12,12,12,12,12,12,12,12,12,24,24,24,24,1,4,12,4,12,4,4,4,8,8,6,
10,15,3,3,3,3,3,3,6,6,6,12,12,12,12,12,12,12,12,24,1,3,3,4,2,2,4,4,4,4,4,4,1,
3,3,6,6,6,6,6,6,1,3,1,3,1,1,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,18,48,24,4,9,6,6,
2,24,6,6,24,12,24,48,96,4,24,16,1,3,6,2,9,6,18,10,12,6,6,12,18,6,6,18,12,24,
24,12,24,24,12,12,12,24,24,4,12,12,8,8,3,3,9,1,3,3,9,6,3,9,9,3,6,2,6,15,12,21,
12,6,3,9,6,12,6,6,6,6,12,12,12,6,12,6,12,12,18,6,6,6,6,6,1,4,12,12,4,4,4,4,8,
8,1,3,3,3,1,1,3,3,3,3,3,3,9,3,3,3,3,6,9,3,3,3,3,6,9,12,3,3,3,6,3,6,6,6,6,6,6,
6,6,1,3,3,4,2,2,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,3,1,3,1,1,2,2,4,
3,1,1,1,1,1,1,1,1],[1,1,18,48,4,9,6,8,24,24,12,12,96,4,24,4,6,2,9,12,18,4,6,
12,6,12,24,24,12,12,24,24,24,12,24,24,4,12,12,8,8,3,3,9,4,12,6,12,12,8,12,12,
24,12,12,12,12,6,12,12,12,12,12,12,12,12,12,12,12,24,1,4,12,4,4,12,4,4,8,8,1,
3,3,3,4,4,6,3,3,3,12,6,6,6,12,12,6,6,12,6,6,12,12,12,12,1,3,3,4,2,2,4,4,4,4,4,
4,3,4,3,3,6,6,6,6,6,1,1,3,1,1,3,1,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,14,24,4,1,7,7,
6,6,12,6,6,12,12,24,4,8,8,8,7,3,3,3,4,6,6,9,10,12,10,6,6,6,6,6,12,12,12,12,12,
12,12,4,4,4,4,4,4,4,1,3,3,4,3,3,3,3,6,10,6,6,6,4,6,6,9,6,6,6,9,6,12,6,6,18,6,
6,6,6,6,12,12,12,12,1,4,4,4,4,4,4,4,4,4,4,4,1,3,3,4,4,6,3,3,3,3,3,6,3,6,3,3,9,
3,6,6,6,6,6,6,6,6,6,6,6,12,1,1,1,1,1,1,1,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,
1,1,1,1,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1],[1,1,10,48,24,4,5,10,6,2,24,12,12,
24,48,96,4,16,8,16,16,1,3,10,15,10,10,6,6,12,6,12,18,6,6,18,12,12,24,24,12,12,
12,24,24,4,8,4,8,4,8,8,32,5,3,3,3,1,9,3,10,3,3,9,9,6,2,12,6,9,3,12,6,21,15,6,
12,6,6,6,6,12,12,6,12,12,6,12,12,18,6,6,6,6,6,1,8,4,4,4,4,4,4,4,8,8,8,1,3,3,1,
1,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,6,9,3,6,12,3,9,6,3,6,6,6,6,6,6,6,6,1,1,1,
2,2,2,2,4,4,4,4,4,4,4,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,3,
1,1,1,1,1,1,1,1],[1,1,6,48,16,1,3,3,4,6,6,24,12,24,48,32,16,16,16,3,1,3,4,4,6,
6,12,12,12,8,12,12,12,24,24,12,12,12,36,12,12,24,24,12,12,12,12,4,16,8,16,16,
1,3,3,3,4,4,6,9,6,6,12,6,3,3,8,12,12,6,12,12,6,6,12,6,6,6,12,12,12,6,12,12,12,
12,12,12,24,12,12,12,12,24,12,4,4,4,4,4,8,16,3,3,4,6,3,3,3,3,3,3,6,3,6,12,6,6,
6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,6,6,1,
4,4,4,3,1,1,1,1],[1,1,14,48,24,4,1,7,7,12,24,12,12,48,24,96,4,16,16,8,16,7,3,
4,9,10,12,10,12,12,6,12,6,12,12,12,12,24,24,24,24,12,24,4,4,8,8,4,8,8,32,1,3,
4,3,6,3,3,10,4,6,6,9,6,9,6,12,12,18,12,12,6,6,6,12,12,12,12,12,12,12,12,12,12,
12,12,1,4,4,4,4,4,8,4,4,8,8,8,1,3,3,3,3,4,4,6,3,9,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,6,6,6,12,12,1,1,2,2,1,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,2,1,1,1,1,1,
1,1,2,2,2,4,3,1,1,1,1,1,1,1,1],[1,1,2,48,4,1,1,1,2,2,3,3,24,6,12,48,4,16,16,8,
1,1,1,2,1,2,3,3,3,12,6,12,12,6,12,12,12,6,12,12,12,12,12,4,4,8,8,4,8,8,32,1,1,
3,3,3,3,3,6,6,6,6,6,12,6,12,6,6,6,12,12,12,12,12,12,1,4,4,4,4,8,4,4,4,8,8,8,1,
2,3,3,3,3,3,3,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,4,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,
1],[1,1,2,12,12,24,36,4,1,1,1,8,8,6,6,12,18,18,12,12,12,24,48,48,24,96,4,8,8,
8,16,1,1,1,8,2,3,3,6,3,3,3,6,3,4,6,6,12,3,6,6,6,3,15,12,15,6,9,12,18,12,12,12,
6,6,6,9,12,12,12,6,18,6,12,12,18,18,12,12,18,12,12,6,12,6,6,18,30,24,24,24,4,
4,4,4,4,4,4,8,8,8,8,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,4,4,4,4,4,4,3,3,6,3,3,
12,9,15,6,3,9,6,3,3,3,6,9,3,3,3,3,3,3,3,3,6,9,3,12,3,3,6,6,6,3,3,6,6,12,6,6,6,
6,6,12,12,12,6,6,6,12,6,6,12,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,12,6,6,6,6,6,12,6,
6,6,6,6,6,6,6,6,6,6,12,12,6,6,6,6,6,12,12,6,6,6,12,6,6,6,18,6,6,6,6,6,12,6,12,
6,12,6,4,1,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,3,3,3,3,3,3,4,4,
4,4,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,
4,8,8,8,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,1,1,1,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,1,1,1,1,1,1,
1,1,1],[1,1,6,8,8,16,1,3,3,4,4,4,24,24,16,32,32,3,1,3,6,6,4,6,6,8,8,12,12,4,
16,16,16,1,1,1,6,6,3,6,3,6,6,6,6,4,8,8,16,1,3,3,6,6,6,6,4,4,4,1,3,3,4,1,1,1],[
1,1,30,10,1,10,10,15,15,6,10,20,10,5,15,15,15,15,15,15,30,6,12,10,10,10,10,10,
10,10,5,15,15,15,15,15,15,6,6,6,10,5,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,
1,1,1,1,1],[1,1,20,20,30,10,1,10,10,15,15,120,6,10,20,20,10,10,20,20,5,10,15,
15,15,15,15,15,30,6,12,10,10,10,10,10,10,10,20,20,20,20,5,15,15,15,15,15,15,6,
6,6,5,10,10,10,10,10,10,10,15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,20,20,30,10,
1,10,10,15,15,120,6,10,20,20,10,10,20,20,5,10,15,15,15,15,15,15,30,6,12,10,10,
10,10,10,10,10,20,20,20,20,5,15,15,15,15,15,15,6,6,6,5,10,10,10,10,10,10,10,
15,6,6,6,5,5,5,10,6,5,1,1,1,1,1],[1,1,30,8,8,72,24,1,15,15,6,6,4,4,60,6,6,36,
12,12,12,24,72,24,24,24,32,96,96,96,288,15,3,3,15,20,6,6,45,12,60,4,12,4,4,6,
18,18,6,6,6,6,18,6,8,8,8,12,12,12,36,36,36,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,36,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,
24,72,72,24,24,72,24,24,48,48,48,48,48,48,48,48,48,48,48,48,64,64,15,1,1,3,15,
20,3,3,3,9,3,45,4,12,4,4,4,12,4,12,12,12,60,4,4,6,6,6,6,6,6,6,6,18,6,6,6,6,18,
18,6,6,6,18,18,6,18,18,6,18,8,8,24,8,24,12,12,12,12,12,12,12,12,12,12,12,36,
12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,36,
36,12,36,36,12,12,12,12,12,12,12,12,36,12,12,12,12,36,12,12,12,12,12,12,12,12,
12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,
24,24,24,72,24,24,24,24,24,24,24,24,24,48,48,48,48,6,10,15,1,6,3,3,9,3,3,3,3,
9,3,3,3,3,3,12,4,12,12,4,12,4,4,12,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,
6,18,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,18,18,24,8,8,8,12,12,12,12,12,36,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,36,12,12,12,36,12,12,12,36,12,12,12,12,12,12,12,12,12,
12,12,12,36,12,12,12,12,12,12,12,12,36,12,12,12,12,12,36,12,12,12,12,12,12,12,
12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,1,3,1,1,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,4,4,4,4,12,12,4,12,12,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,24,24,1,1,1,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,1,3,3,3,3,3,3,
6,6,1],[1,1,30,24,24,24,24,1,15,15,2,2,12,12,60,6,6,12,12,12,12,72,24,72,72,
24,96,96,96,192,15,1,1,15,20,2,2,2,45,4,60,4,12,6,6,6,6,6,18,18,6,6,6,24,8,24,
12,12,12,12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,48,48,48,48,48,144,48,48,144,48,48,48,48,15,3,3,1,15,20,2,2,3,3,3,3,
3,45,4,4,4,4,4,60,6,6,6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,18,6,6,6,6,18,6,18,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,12,12,12,12,36,12,12,12,12,12,12,12,
12,12,12,36,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,6,10,15,3,2,2,2,2,2,3,3,
3,3,3,3,3,9,3,4,4,4,4,4,4,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,18,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,
6,6,6,8,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,48,48,1,1,1,1,2,2,3,3,3,3,3,3,9,
9,3,3,3,12,4,4,4,4,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,3,1,1,2,2,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,
1,1,1,3,3,3,3,1],[1,1,14,16,16,16,8,1,7,7,4,4,8,8,12,6,6,8,4,12,4,48,16,32,48,
8,32,64,7,2,2,3,4,4,4,9,8,12,8,8,6,4,4,6,12,12,2,4,2,16,16,4,4,8,8,8,12,4,4,
12,4,24,16,4,4,8,4,8,8,8,16,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,16,
16,32,16,16,32,16,16,1,2,2,2,3,4,1,3,3,2,1,3,4,4,8,4,4,4,4,2,6,2,2,8,4,2,12,8,
8,4,2,8,12,2,4,2,6,2,8,2,4,2,4,4,4,8,8,4,4,4,8,4,12,4,8,4,8,4,4,4,4,4,8,4,4,4,
4,16,4,4,4,4,12,8,4,12,12,4,4,4,8,4,4,4,4,4,4,4,4,4,8,4,4,4,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,1,2,1,1,2,1,3,1,1,1,1,1,
4,1,4,4,4,4,2,2,4,4,2,4,4,2,4,2,2,4,2,2,2,2,4,2,2,4,4,4,2,4,4,4,2,2,2,2,2,6,4,
4,4,2,8,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,8,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,
8,8,1,1,1,1,1,1,1,1,1,1,2,1,1,2,2,1,1,1,2,2,2,2,4,2,2,2,4,2,2,2,2,4,2,2,2,2,2,
2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,1,
1,1,2,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,30,48,
24,1,15,15,4,4,60,6,6,24,12,12,12,48,24,32,192,15,2,2,15,20,4,2,4,45,8,60,8,6,
12,6,12,6,6,12,6,8,12,12,4,24,24,24,12,4,4,12,4,12,12,24,12,12,8,8,8,24,24,24,
8,8,48,24,48,24,8,24,48,8,24,48,8,16,16,16,16,16,15,2,15,20,2,2,3,3,3,6,3,45,
8,8,8,8,8,60,6,6,6,6,6,6,12,12,6,12,12,12,6,6,12,12,6,12,16,8,8,16,12,12,4,4,
24,4,4,4,4,12,24,12,12,12,4,24,24,4,12,24,4,24,12,4,12,12,24,4,24,4,12,4,12,4,
4,12,4,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,8,24,8,24,24,8,8,8,8,8,8,8,8,8,8,8,8,48,
24,8,8,8,8,8,8,48,8,8,8,8,16,16,16,16,6,10,15,4,2,2,3,3,6,1,3,1,1,6,3,1,3,3,8,
8,8,8,8,6,12,6,2,12,2,2,2,2,12,2,6,6,2,6,2,6,2,2,6,12,6,2,2,6,6,6,6,12,12,6,
16,4,4,4,12,24,4,4,4,4,4,4,4,4,12,4,4,4,24,12,24,24,4,4,4,4,12,12,12,4,4,4,4,
4,24,4,4,4,4,4,4,4,4,24,12,4,12,12,24,4,12,12,12,4,4,4,4,4,4,8,8,8,8,8,8,8,24,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,2,2,1,1,1,3,1,3,1,3,1,1,1,1,
1,8,8,8,8,6,6,2,2,6,2,2,2,2,6,2,2,2,2,2,2,2,6,6,6,2,6,2,6,6,6,12,12,2,2,2,2,2,
2,2,2,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,8,2,1,2,1,1,1,1,1,1,1,1,3,3,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,30,16,16,48,8,1,15,15,4,4,8,8,60,2,
2,24,4,4,4,48,48,48,48,8,32,192,64,15,2,2,15,20,4,4,45,8,60,8,8,2,12,12,2,12,
12,2,12,2,16,16,4,4,24,24,24,4,4,4,4,4,24,24,4,4,24,4,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,48,8,48,8,48,8,8,8,8,48,8,8,16,16,16,96,16,16,96,16,16,16,16,15,2,
2,2,15,20,1,1,1,6,1,45,8,8,8,8,8,60,2,2,2,2,12,12,2,12,12,12,12,2,12,12,2,12,
2,12,2,2,12,2,12,12,2,16,16,4,4,4,24,4,4,4,24,4,4,4,24,4,4,4,24,4,4,24,4,4,24,
4,24,4,4,24,24,4,24,4,4,4,4,24,4,4,4,4,24,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,48,8,8,8,8,8,8,8,8,48,
8,8,8,8,16,16,16,16,16,16,16,16,16,16,16,16,6,10,15,2,4,1,1,6,1,1,1,1,6,1,1,1,
6,1,8,8,8,8,8,2,12,12,2,2,2,2,12,2,2,2,2,2,2,2,2,2,2,12,12,2,12,2,2,2,2,12,2,
2,2,2,2,2,12,2,12,12,16,4,4,4,4,24,4,4,4,4,4,4,4,4,4,4,4,4,4,24,4,4,4,4,24,4,
4,24,24,4,24,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,24,4,4,4,4,4,4,4,4,24,4,4,4,24,4,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,16,16,1,2,2,1,1,1,1,1,1,1,1,1,1,1,1,6,1,6,1,8,8,8,8,8,8,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,12,2,12,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,8,8,2,2,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,14,8,8,56,8,1,7,7,2,2,4,4,12,
6,6,28,4,12,4,24,56,40,24,8,32,32,160,7,1,1,3,4,2,2,9,4,12,4,4,6,14,14,6,6,6,
2,14,2,8,8,4,4,12,12,12,12,4,12,12,20,4,4,4,4,4,4,12,4,4,4,8,8,24,8,8,24,8,24,
8,8,8,8,40,8,40,8,40,8,8,24,40,24,16,48,16,16,16,16,48,16,48,48,48,48,1,1,1,1,
3,4,1,3,3,7,1,3,4,4,4,2,2,6,2,2,2,10,2,6,6,2,2,10,2,6,10,2,6,6,10,6,2,10,2,6,
8,8,4,12,4,4,4,4,4,12,12,4,4,4,12,8,4,4,4,12,4,8,4,8,4,8,12,4,12,4,12,20,4,4,
4,4,20,4,12,4,4,4,4,4,8,24,8,8,8,8,24,8,8,24,24,8,8,24,8,8,24,8,24,8,24,24,8,
8,8,8,8,8,24,8,8,8,24,8,8,24,8,8,8,8,8,8,16,16,16,16,1,1,2,1,1,3,3,5,1,1,5,1,
4,4,4,6,2,2,4,2,2,2,2,6,2,6,2,2,2,2,6,2,2,6,2,2,2,2,2,2,2,4,2,2,6,6,6,2,2,2,2,
2,8,8,8,4,4,4,4,4,4,4,4,4,4,12,4,8,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,12,4,4,4,4,
4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,4,4,8,4,4,8,8,24,24,8,
8,24,8,8,1,1,1,3,1,2,1,1,3,1,1,1,1,1,2,1,1,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,
2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,1,2,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
14,16,16,32,24,1,7,7,8,8,12,2,2,16,12,4,12,48,32,32,48,24,32,64,64,7,3,4,9,8,
12,4,8,4,8,2,8,8,2,12,12,6,8,6,16,16,8,12,4,4,24,16,12,12,12,12,12,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,24,16,24,16,8,8,16,24,16,8,32,16,16,16,32,32,16,16,32,16,
16,16,16,1,2,2,3,4,3,1,1,4,3,3,4,8,4,4,6,2,6,2,8,2,12,8,8,2,8,12,2,2,4,2,2,8,
2,4,2,8,4,4,4,8,12,8,4,4,4,4,8,12,4,8,4,4,8,12,4,8,4,16,4,8,4,8,12,8,12,12,4,
8,8,4,4,8,4,12,12,8,8,4,12,4,8,8,8,8,8,8,8,16,8,8,8,16,8,8,8,8,8,8,8,8,8,8,8,
24,16,8,16,8,8,8,8,24,8,8,16,16,16,16,16,16,16,16,16,16,16,16,1,2,1,3,1,2,2,1,
2,1,4,1,4,4,4,2,4,2,4,6,2,2,4,2,2,2,2,2,4,2,2,4,2,4,2,4,2,2,2,2,6,4,2,2,6,4,2,
8,4,4,4,4,4,4,4,4,4,4,4,8,4,12,8,4,8,4,4,8,4,4,4,4,4,4,8,8,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,8,4,4,4,4,4,4,8,4,4,4,8,8,4,8,4,4,4,4,4,4,4,8,4,4,16,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,16,16,1,1,1,2,1,2,1,2,1,1,2,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,4,2,2,
2,2,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,6,2,2,2,4,2,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,8,4,4,4,2,1,1,1,1,2,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,
4,1,1,1,1,1,1,1,1],[1,1,14,24,24,40,40,1,7,7,6,6,12,12,12,6,6,20,20,12,20,72,
40,24,72,40,32,160,160,96,96,192,7,3,3,3,4,6,2,6,9,4,12,4,4,4,12,6,10,6,10,6,
18,18,10,10,10,24,8,24,8,12,20,20,12,20,20,20,12,12,12,20,12,12,36,12,12,20,
20,20,20,20,20,20,20,12,20,20,12,24,24,24,24,24,24,24,24,24,24,24,24,24,8,40,
24,24,24,24,24,24,24,24,24,24,40,40,24,40,24,40,24,24,8,24,24,24,8,8,24,8,24,
24,24,48,48,48,80,48,48,48,48,48,48,80,48,48,64,64,1,3,3,3,3,4,2,2,5,3,3,5,5,
3,4,4,4,4,4,4,4,4,4,4,4,4,10,10,6,6,6,6,10,10,10,6,6,10,10,6,18,10,10,6,2,6,
10,6,6,10,18,6,10,6,6,6,6,6,2,6,6,6,10,10,6,8,8,8,8,8,8,8,8,8,8,8,12,12,12,12,
12,12,12,12,12,12,12,12,12,4,20,12,12,20,12,12,20,12,12,12,12,12,12,12,12,12,
12,12,4,12,12,12,12,12,12,12,12,12,12,12,4,12,4,12,12,12,4,4,4,4,12,12,12,4,
20,4,12,12,12,12,12,4,12,20,12,12,12,12,12,20,12,12,20,12,12,12,12,12,4,12,12,
12,12,24,8,24,8,8,8,8,24,24,8,8,40,24,24,24,24,24,8,24,8,24,24,8,8,8,24,40,8,
8,8,8,8,8,8,8,8,24,8,8,8,24,8,8,8,8,8,24,24,8,24,24,24,8,8,8,8,8,40,8,8,24,8,
8,24,24,24,8,40,40,24,24,8,24,8,24,8,24,24,8,24,40,8,24,8,24,8,8,24,24,24,8,
40,8,8,8,24,8,8,24,8,40,8,24,40,8,8,40,24,24,8,24,8,24,24,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,1,3,2,2,2,2,2,3,5,5,3,3,1,3,3,3,1,3,
3,3,4,4,4,4,4,4,4,6,6,6,2,6,6,6,6,2,6,2,6,6,6,2,6,10,2,10,6,6,6,2,6,10,6,10,6,
6,2,2,6,6,6,6,6,6,6,6,2,6,6,10,6,6,2,2,6,2,6,2,6,6,6,6,6,2,6,6,2,6,6,6,6,10,6,
6,6,6,6,6,6,2,2,6,6,6,8,8,8,8,8,8,4,12,12,4,4,12,4,12,12,12,12,4,12,12,12,12,
12,12,12,4,12,12,12,4,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,12,12,12,
12,4,12,12,12,12,12,12,4,12,12,4,4,4,4,4,4,4,4,12,12,12,4,12,4,12,12,12,12,12,
4,4,4,12,4,12,12,4,4,12,4,12,12,4,12,12,12,12,12,12,12,12,12,4,12,12,12,4,12,
12,20,4,12,4,12,12,4,12,12,4,12,4,4,4,12,4,4,12,4,4,4,4,4,12,4,4,12,4,12,4,12,
4,4,4,4,4,12,12,12,20,12,4,12,4,4,4,4,12,12,12,12,12,12,12,12,4,4,4,12,4,4,4,
4,4,4,12,4,12,4,12,4,12,4,4,12,12,4,8,8,8,24,24,8,8,8,8,8,24,8,8,8,24,24,24,8,
8,8,8,8,8,8,8,8,8,8,8,8,24,8,24,24,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,40,8,8,8,
8,24,8,8,8,8,8,8,8,8,8,8,24,24,8,8,8,8,8,8,8,8,8,8,8,8,24,8,24,8,8,8,8,48,48,
1,1,1,2,2,1,3,1,1,1,3,1,3,3,1,1,3,3,3,1,1,3,1,5,3,4,4,2,6,2,2,6,6,6,2,6,2,2,6,
2,2,6,2,6,6,2,2,2,6,6,2,6,2,2,6,2,2,6,2,2,6,6,6,2,6,6,6,2,6,2,2,2,6,6,6,6,2,2,
6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,6,6,2,2,2,2,2,6,6,2,2,2,2,2,6,2,2,2,2,2,6,
2,2,2,6,2,2,2,2,2,2,6,6,2,4,4,4,4,12,4,12,4,12,12,4,12,4,12,4,4,12,4,4,12,12,
4,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,4,4,4,4,12,12,4,4,4,4,4,4,4,4,4,4,
4,12,4,4,4,12,4,12,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,12,12,12,4,4,12,4,4,4,4,4,
4,12,12,12,12,12,12,12,4,4,4,12,12,12,12,12,12,12,4,12,8,8,8,8,8,8,8,8,8,8,1,
1,2,1,1,1,1,1,1,3,1,1,1,1,1,1,3,1,1,1,2,2,2,6,6,2,6,6,6,2,6,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,12,4,4,4,1,1,1,1,1,1,1,2,2,2,2,2,2,
2,2,2,2,2,2,1],[1,1,14,8,8,40,24,1,7,7,6,6,4,4,12,2,2,20,12,4,12,24,40,40,24,
24,32,96,96,96,96,7,3,3,3,4,6,6,9,4,12,4,4,4,4,2,10,10,2,6,6,6,10,6,8,8,8,12,
12,12,20,20,20,4,12,12,12,4,12,12,20,12,12,12,12,12,12,12,20,12,12,12,12,24,8,
8,8,24,24,8,8,8,8,8,24,24,24,24,24,24,24,24,24,24,24,24,24,8,8,24,16,48,16,16,
16,16,48,16,16,64,64,1,1,1,3,3,4,3,1,1,5,3,3,4,4,4,4,4,4,4,4,4,4,4,4,6,6,2,6,
6,6,10,6,10,6,6,6,10,2,10,10,6,6,10,6,2,2,6,6,10,8,8,8,8,8,4,4,12,4,12,4,4,12,
12,12,12,20,12,12,12,12,4,12,4,12,12,4,12,12,4,4,4,4,4,12,12,4,4,12,12,12,12,
4,4,12,4,4,12,12,4,12,12,12,12,12,12,4,4,12,12,12,12,12,12,4,12,4,12,12,4,4,4,
12,12,24,8,8,8,24,24,24,8,8,24,8,8,24,8,8,8,8,8,24,8,24,24,24,24,24,24,24,24,
8,24,8,24,24,8,8,24,24,8,24,8,8,24,24,24,8,24,8,8,8,24,24,24,24,24,24,24,24,
24,8,24,16,16,16,16,1,1,2,1,3,5,3,1,1,3,3,1,1,1,5,1,4,4,4,4,4,4,2,2,2,2,4,2,6,
2,2,6,2,6,2,2,2,6,6,2,2,6,6,2,2,6,2,2,2,4,2,6,2,6,2,6,2,2,2,2,2,8,8,4,12,4,12,
4,4,4,4,12,12,4,4,12,4,12,12,12,12,12,4,12,4,4,12,4,4,4,4,4,12,4,4,12,8,4,4,4,
4,4,4,4,4,12,12,4,12,4,12,4,12,4,12,4,12,12,4,4,4,12,4,4,4,4,4,4,4,4,12,4,4,4,
4,4,4,4,4,4,4,4,12,4,4,8,8,24,8,24,8,8,24,8,8,8,24,24,24,8,8,8,8,8,8,24,24,24,
8,24,24,8,8,24,8,8,8,8,16,8,8,1,1,1,1,1,1,1,1,1,2,3,1,1,2,1,3,1,4,4,2,2,2,2,2,
2,6,2,2,2,2,2,2,2,4,2,2,6,2,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,12,4,12,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,8,8,1,2,1,1,
1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,1,1,1,1,1,1,1,1],[1,1,
14,24,24,56,24,1,7,7,2,2,12,12,12,10,10,28,12,20,12,72,56,24,72,24,96,96,160,
192,7,1,1,3,4,2,2,2,9,4,12,4,12,10,14,6,14,10,18,18,6,14,6,24,8,24,12,12,12,
12,12,12,20,12,20,36,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,
40,24,24,24,24,24,24,40,24,24,8,40,24,24,24,24,24,40,24,40,24,24,24,40,8,40,8,
40,48,48,48,48,48,48,48,48,48,48,80,48,16,48,48,48,48,80,1,3,3,1,3,4,2,2,3,5,
5,7,3,3,4,4,4,6,6,6,6,10,6,6,6,6,6,6,6,6,6,18,6,6,6,2,6,6,6,6,6,18,6,6,6,10,
10,6,6,2,6,10,6,6,6,6,8,8,8,8,8,8,8,8,12,12,20,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,4,20,12,8,12,12,12,20,12,8,12,4,12,12,8,8,4,12,4,12,4,12,20,12,12,
12,12,12,20,12,12,20,12,12,12,12,12,4,12,24,24,8,8,40,24,24,24,24,24,24,24,24,
24,24,8,40,24,24,8,24,8,24,24,40,24,24,24,8,24,24,24,24,8,40,8,8,24,8,24,24,8,
24,8,24,24,24,24,24,8,48,16,16,48,48,48,16,16,48,48,48,48,16,48,48,16,48,48,
48,16,16,48,16,48,48,48,16,48,48,16,48,16,1,3,2,2,2,2,2,3,3,3,5,5,3,3,3,3,4,4,
4,4,10,6,6,6,6,6,6,2,6,6,6,6,6,6,6,10,6,6,2,6,6,6,6,10,6,2,6,6,6,6,2,6,6,6,6,
6,6,6,6,2,6,2,6,6,6,6,6,6,6,6,2,6,6,10,6,6,6,6,6,6,6,6,6,2,6,6,6,8,8,8,8,8,8,
8,12,4,4,4,4,4,12,12,12,4,12,12,12,12,12,12,12,4,12,12,12,12,12,12,12,12,12,
12,12,12,4,12,12,12,4,12,12,4,12,12,12,4,12,4,4,4,12,12,12,12,4,12,12,12,12,4,
12,12,12,12,12,12,12,4,12,12,12,12,12,12,12,4,12,12,4,12,4,12,12,4,12,20,4,12,
12,4,4,4,12,4,4,12,12,12,12,12,12,12,12,4,12,8,4,4,4,12,12,12,12,12,12,12,12,
12,4,12,12,12,12,12,12,4,8,8,8,8,24,8,24,8,8,8,8,8,8,8,8,24,8,8,8,24,24,8,8,8,
8,8,8,8,24,8,24,8,8,48,16,48,16,1,1,1,2,2,3,3,5,3,3,3,1,1,3,3,3,3,4,4,6,2,6,6,
2,2,6,2,6,2,6,6,2,6,6,6,6,2,6,6,2,6,6,6,6,6,6,6,2,2,6,2,2,6,6,6,6,2,6,6,2,6,2,
6,6,6,6,2,2,2,6,2,2,6,6,4,4,12,12,4,12,12,4,12,12,4,12,4,12,12,4,4,4,4,12,4,4,
4,12,4,4,12,4,4,4,4,4,4,4,4,12,12,12,4,4,4,4,4,4,12,4,12,12,12,4,4,4,12,12,12,
12,4,12,12,12,4,12,12,4,4,12,12,12,12,12,4,12,8,8,8,8,8,8,8,8,1,1,2,1,1,1,1,1,
3,1,3,1,6,6,6,6,6,2,6,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,4,4,4,12,4,4,4,
4,4,1,1,1,1,1,1,1,2,2,2,2,1],[1,1,30,40,1,15,15,60,10,10,20,20,20,40,32,15,15,
20,2,45,60,4,4,10,6,10,10,10,8,8,12,20,20,20,12,20,20,20,12,12,24,40,8,40,24,
40,24,24,8,8,40,8,15,15,20,2,2,5,5,5,5,45,4,4,4,60,10,6,6,10,6,10,6,10,6,6,8,
8,8,20,12,12,12,12,4,12,20,20,12,20,12,20,20,20,4,20,20,12,4,4,12,8,8,40,8,40,
8,24,40,8,24,8,40,8,8,8,8,24,8,8,6,10,15,2,2,5,5,5,5,5,5,4,4,6,10,6,6,2,2,6,6,
6,6,10,6,6,6,10,6,6,6,6,12,20,12,20,4,12,12,4,4,4,12,4,4,4,4,20,12,20,4,4,4,4,
4,4,12,20,20,4,4,20,4,20,12,40,8,8,8,8,1,1,1,1,2,1,3,5,5,3,1,3,10,10,2,6,2,2,
2,2,6,10,6,10,6,6,2,10,6,6,10,2,2,2,6,2,6,2,2,6,6,2,4,4,4,4,4,4,4,4,1,2,1,3,3,
1,3,5,6,2,2,6,2,2,2,2,2,2,2,2,4,1,1,1,1,1,1,1,1],[1,1,30,16,16,24,1,15,15,8,8,
60,6,6,12,12,12,48,48,48,24,32,64,15,15,20,45,60,4,4,8,6,6,12,12,6,6,16,16,8,
12,12,12,24,24,12,12,12,12,12,8,8,8,8,8,8,8,8,8,8,24,8,8,24,24,24,8,8,24,16,
16,96,16,16,96,16,16,15,2,2,15,20,3,3,3,3,45,4,4,4,60,6,6,6,2,12,2,12,12,2,12,
12,2,2,6,2,2,2,8,4,12,4,24,12,4,4,4,12,4,24,12,12,12,24,12,12,4,4,4,12,24,12,
12,4,4,4,4,12,12,12,4,8,8,8,8,8,8,24,8,8,8,24,8,8,24,8,8,24,8,8,8,8,24,8,24,8,
16,16,16,16,6,10,15,2,3,3,3,3,3,6,3,4,4,2,12,2,6,6,6,2,2,2,2,2,12,2,12,2,6,6,
2,2,2,6,2,6,12,2,4,12,12,4,4,4,4,4,4,4,12,4,24,12,4,24,12,12,4,4,4,4,4,12,4,4,
12,4,4,4,4,4,4,4,4,4,4,4,12,12,12,4,12,4,4,4,4,4,4,24,8,8,8,8,8,8,8,8,1,1,1,2,
1,3,3,1,3,6,1,6,1,3,8,8,6,6,2,2,2,6,6,2,2,2,2,2,6,6,2,6,2,2,6,2,2,6,2,2,2,2,2,
6,2,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,1,1,3,3,1,1,3,2,2,6,2,2,2,2,2,2,2,2,2,2,
2,4,4,1,1,1,1,1,1,1,1],[1,1,30,8,8,24,8,1,15,15,2,2,4,4,60,2,2,12,4,4,4,24,24,
24,24,8,32,32,96,15,1,1,15,20,2,2,45,4,60,4,4,2,6,6,2,6,6,2,6,2,8,8,4,4,12,12,
12,4,4,4,12,12,4,4,4,4,4,4,12,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,24,8,24,8,
8,8,24,8,8,16,16,16,48,48,16,16,16,16,15,1,1,1,15,20,1,1,1,3,1,45,4,4,4,4,4,
60,2,2,2,2,2,2,6,2,6,6,2,2,6,6,6,6,2,6,6,6,2,6,6,2,6,8,8,4,4,12,4,4,4,4,12,4,
4,12,4,4,12,4,4,12,4,4,12,12,12,4,12,4,12,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,4,4,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,8,24,8,8,8,8,8,8,8,
16,16,16,16,6,10,15,1,2,1,1,3,1,3,1,1,3,1,4,4,4,4,4,2,6,2,6,2,2,2,2,6,2,2,2,2,
2,2,2,6,6,2,6,2,2,2,2,6,2,2,2,6,2,2,6,6,8,4,12,4,4,4,4,4,4,4,4,4,4,12,4,4,4,4,
4,4,12,4,12,4,4,4,12,4,4,12,4,4,4,4,4,12,4,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,12,
4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,1,1,1,1,1,1,1,1,1,3,1,1,3,1,1,4,4,
4,4,4,4,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,
2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,14,32,40,1,7,7,12,6,6,16,20,12,20,32,48,40,32,
64,7,3,4,2,9,8,12,4,8,4,6,8,6,8,6,10,8,10,8,8,12,20,12,12,24,12,20,20,20,12,
12,24,24,24,24,16,40,16,24,24,16,8,8,8,16,32,16,32,16,16,16,16,1,3,4,2,2,5,3,
3,4,5,3,4,8,4,4,10,6,6,6,6,10,12,12,8,6,12,4,6,6,8,4,6,8,8,8,12,12,8,12,12,12,
8,12,12,12,12,8,16,12,8,8,4,4,4,8,8,4,8,20,20,8,12,4,8,12,8,8,8,8,16,8,8,16,8,
8,8,8,8,24,8,8,8,8,24,16,16,8,8,8,8,8,8,8,24,8,16,16,16,16,1,2,2,3,5,3,2,2,3,
2,3,6,3,4,4,4,6,6,2,2,2,4,2,2,6,6,6,4,2,2,6,6,6,4,2,2,6,6,6,8,6,4,4,4,4,4,4,8,
12,4,4,8,12,4,4,4,4,12,16,8,4,4,4,4,4,4,4,12,4,8,4,4,4,4,16,4,4,12,12,4,4,8,8,
4,12,12,8,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,1,1,2,1,3,3,2,1,1,1,3,1,2,2,2,2,2,
2,2,2,4,2,6,2,2,2,6,6,6,2,6,2,2,2,2,6,2,2,2,2,4,2,2,2,2,2,8,2,4,6,2,4,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,8,4,1,1,3,1,1,3,2,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,4,4,
1,1,1,1,1,1,1,1],[1,1,14,16,24,1,7,7,4,4,12,10,10,8,12,20,12,16,48,24,32,7,2,
2,3,4,4,2,4,9,8,12,8,10,4,6,4,10,6,4,6,8,12,12,4,8,8,8,20,4,4,20,4,24,12,12,8,
12,12,8,16,16,8,8,24,24,8,24,8,8,24,24,8,24,8,8,8,8,1,2,3,4,2,2,3,5,5,2,3,3,4,
4,8,4,4,4,4,6,6,6,10,6,6,12,4,12,8,6,4,12,4,10,6,8,6,4,8,8,12,8,12,4,4,8,4,12,
4,8,4,4,4,12,4,12,12,12,4,4,16,4,12,4,4,4,4,4,4,4,8,4,4,12,4,12,4,4,12,8,4,4,
8,8,8,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,1,2,2,3,3,2,1,5,1,1,3,1,3,6,
3,4,4,4,4,6,2,4,4,4,2,4,4,2,4,6,6,2,6,4,4,2,6,2,6,2,2,6,6,6,4,4,8,2,6,4,4,4,4,
4,4,4,4,4,4,4,12,4,4,4,4,12,12,4,4,4,12,4,4,4,4,4,4,4,4,4,4,4,4,12,12,4,12,8,
4,4,4,12,12,4,4,4,4,4,8,8,8,8,8,1,1,1,1,1,1,3,1,3,1,1,1,1,2,1,3,2,2,2,2,2,2,2,
2,4,2,2,2,6,2,2,8,6,6,6,2,2,2,2,6,2,2,2,2,2,6,2,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,1,1,1,1,1,3,1,2,1,1,1,3,2,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,
18,8,32,9,6,24,36,36,8,32,6,2,9,18,18,18,36,36,16,24,24,48,96,9,9,9,6,36,18,
36,36,16,2,8,16,24,24,24,1,9,9,18,18,16,6,12,24,24,48,9,8,2,2,6,6,8,6,6,1,1],[
1,1,30,8,32,1,15,15,60,8,32,48,15,15,20,45,60,16,8,24,24,24,32,15,15,20,45,60,
16,2,8,16,24,24,24,6,10,15,16,2,6,6,8,16,24,1,8,2,2,6,6,8,2,2,1,1],[1,1,18,72,
8,32,9,6,24,18,18,36,72,8,32,96,96,96,6,2,9,18,18,18,36,72,72,36,16,24,24,48,
96,9,9,9,6,36,18,36,36,16,16,16,2,8,16,24,24,24,24,24,1,9,9,18,18,16,6,12,24,
24,48,9,8,2,2,6,6,8,6,6,1,1],[1,1,18,24,8,32,9,6,12,24,72,36,8,32,32,96,6,2,9,
18,18,24,18,72,16,24,24,16,48,3,9,6,9,18,18,16,32,2,8,16,24,24,24,1,9,9,16,6,
12,12,3,8,2,2,1,3,1,1],[1,1,18,24,8,32,9,6,12,24,36,72,8,32,32,96,6,2,9,18,18,
24,18,72,16,24,24,16,48,3,9,6,9,18,18,16,32,2,8,16,24,24,24,1,9,9,16,6,12,12,
3,8,2,2,1,3,1,1],[1,1,18,36,8,32,9,6,6,24,18,72,8,32,24,3,6,2,9,9,18,3,9,18,
18,18,18,16,4,12,24,24,24,9,3,9,6,9,9,6,18,9,9,9,9,18,16,2,8,16,24,12,12,12,
12,1,3,3,9,9,9,9,16,1,6,3,4,6,12,3,8,2,2,3,3,3,3,4,4,1,3,1,1],[1,1,18,36,8,32,
9,6,6,24,18,72,8,32,24,3,6,2,9,3,18,9,9,18,18,18,18,16,4,12,24,24,24,9,3,9,6,
9,9,6,9,18,9,9,9,18,16,2,8,16,12,12,24,12,12,1,3,3,9,9,9,9,16,1,6,3,4,6,12,3,
8,2,2,3,3,3,3,4,4,1,3,1,1],[1,1,6,36,36,5,8,1,3,3,9,9,18,18,18,72,5,8,6,6,6,
24,36,24,3,3,3,1,9,6,3,3,3,9,9,9,9,9,18,18,18,9,9,18,18,18,18,18,18,18,18,36,
4,5,5,5,3,3,3,3,8,18,18,18,18,24,24,24,3,1,3,3,3,3,3,3,3,18,9,9,9,9,9,9,9,9,
18,9,9,9,18,18,9,9,9,9,18,9,9,9,9,9,9,9,18,4,4,4,1,1,5,2,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,6,6,18,6,6,6,18,6,18,18,6,18,18,24,3,3,9,9,9,9,9,9,9,9,9,9,9,9,
9,4,4,4,8,8,1,1,1,1,1,1,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,3,3,3,18,6,6,6,6,6,9,1,4,4,4,8,8,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,6,1,1,1,1,1,1,1,4,3,3,1,1,1,1,1,1,1,1],[1,1,30,40,1,15,15,60,10,
10,20,20,20,40,16,15,15,20,45,60,10,10,10,10,20,20,20,20,20,20,40,40,40,40,16,
32,15,15,20,5,5,5,5,45,60,10,10,10,10,20,20,20,20,20,20,20,20,20,40,40,40,40,
16,16,16,6,10,15,5,5,5,5,5,5,10,10,10,20,20,20,20,20,20,20,20,40,16,1,5,5,10,
10,10,10,10,10,5,1,1,1,1,1],[1,1,10,5,10,10,10,20,16,10,15,10,10,10,20,40,20,
40,16,5,5,5,10,20,20,10,20,20,20,16,1,5,5,10,10,10,10,16,5,5,5,5,1,1,1],[1,1,
10,5,10,10,10,20,16,10,15,10,10,10,20,40,20,40,16,5,5,5,10,20,20,10,20,20,20,
16,1,5,5,10,10,10,10,16,5,5,5,5,1,1,1],[1,1,20,20,45,36,20,20,15,15,45,10,36,
60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,1,20,20,45,36,20,20,15,15,45,10,36,
60,60,45,10,36,15,15,10,15,15,10,6,6,1],[1,1,30,24,16,1,15,15,60,6,6,12,12,12,
24,16,96,15,15,20,2,45,60,6,6,6,6,6,8,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,16,48,48,15,15,20,2,2,3,3,3,3,45,60,6,6,6,6,6,6,6,6,6,6,8,8,12,12,12,12,
12,12,12,12,12,12,12,12,12,24,24,24,24,24,4,16,8,8,48,48,6,10,15,2,2,3,3,3,3,
3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,24,4,12,12,
16,8,8,8,8,1,1,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,4,12,12,8,8,1,2,3,3,6,1,4,1,1,2,
1],[1,1,14,24,24,24,24,16,1,7,7,2,2,12,12,12,6,6,12,12,12,12,72,24,24,72,24,
96,96,96,192,16,32,7,1,1,3,4,2,2,2,9,12,12,6,6,6,6,6,18,18,6,6,6,24,8,24,12,
12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,48,48,48,48,48,48,48,48,48,48,48,48,48,16,16,16,32,32,1,3,3,1,3,4,2,2,3,3,
3,3,3,3,4,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,
6,6,6,6,8,8,8,8,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
4,8,8,16,16,16,32,32,1,3,2,2,2,2,2,3,3,3,3,3,3,3,3,3,4,4,4,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,8,8,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,48,48,4,
4,4,8,8,8,8,8,8,8,8,8,8,16,1,1,2,2,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,
8,8,8,8,8,8,8,8,8,8,16,1,2,3,3,6,6,6,6,6,6,6,12,1,4,8,8,1,1,2,1],[1,1,14,96,
24,16,1,7,7,12,6,6,48,12,12,12,96,24,192,16,64,64,32,7,3,4,2,9,12,12,12,6,24,
6,24,6,6,24,6,8,12,12,12,12,12,12,12,12,24,24,24,48,24,48,24,24,48,48,48,48,
48,48,48,16,16,32,32,16,128,1,3,4,2,2,3,3,3,12,3,3,12,4,6,6,6,6,6,6,6,6,12,6,
6,6,12,6,8,8,12,12,12,24,12,12,12,24,12,12,24,24,24,24,12,12,12,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,48,48,48,48,4,8,8,16,16,16,32,32,1,2,2,3,3,3,6,
3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,12,12,12,12,24,24,24,24,24,24,24,24,24,4,4,8,8,4,8,8,8,8,16,32,1,3,3,3,
3,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,8,4,4,4,8,8,8,16,1,3,3,6,
6,6,6,12,1,4,8,3,1,2,1],[1,1,14,72,16,1,7,7,12,6,6,36,12,36,72,96,16,32,64,7,
3,4,2,9,12,12,12,6,6,6,18,18,8,24,12,36,12,12,36,36,36,36,36,12,24,24,24,72,
72,24,24,24,24,24,16,16,16,32,32,1,3,4,2,2,9,3,3,9,3,12,12,4,18,6,6,6,6,18,6,
6,6,6,24,8,8,12,36,12,36,12,12,12,36,12,12,12,12,12,12,36,36,12,12,36,24,24,
24,24,24,24,24,24,24,72,24,24,24,24,24,72,24,4,8,8,16,16,16,32,32,1,2,2,3,9,3,
3,3,3,12,6,18,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,36,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,4,4,4,8,8,8,8,8,8,8,8,8,8,
16,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,8,
8,8,8,8,8,8,8,8,8,1,3,3,6,6,6,6,6,6,1,4,8,3,1,2,1],[1,1,14,48,24,16,1,7,7,12,
12,12,6,6,24,12,12,12,48,24,96,16,32,32,32,7,6,6,3,4,12,2,12,9,12,12,12,6,12,
6,12,6,6,12,6,8,12,12,12,24,24,24,12,12,12,12,12,12,12,24,12,12,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,16,16,16,16,16,16,16,1,6,3,4,2,2,3,3,3,6,3,3,12,
12,12,12,12,4,6,6,6,6,6,6,12,6,6,12,12,6,6,6,6,12,8,8,12,12,12,12,24,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,16,8,8,16,16,16,16,16,16,1,
2,2,3,3,6,3,3,3,3,3,3,3,3,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,
24,24,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,16,1,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,1,3,3,3,3,3,3,6,
6,6,6,1,4,8,3,1,1,1,1],[1,1,30,24,64,1,15,15,60,6,6,12,12,12,24,32,64,15,15,
20,45,60,4,4,6,6,6,6,8,12,12,12,12,12,12,12,12,24,24,24,24,24,48,64,32,15,15,
20,3,3,3,3,45,4,4,4,60,6,6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,
24,24,24,24,24,32,48,16,16,32,6,10,15,3,3,3,3,3,3,4,4,6,6,6,6,6,6,6,12,12,12,
12,12,12,12,12,12,12,12,12,24,4,32,16,16,48,32,1,1,1,2,3,3,3,3,6,6,6,6,6,6,6,
6,6,6,6,4,4,4,3,3,3,6,4,4,4,8,1,1],[1,1,14,24,16,1,7,7,12,18,18,12,36,12,24,
16,32,7,3,4,2,9,12,18,6,18,6,6,8,12,12,36,36,12,12,12,12,24,24,24,24,24,24,24,
24,24,16,16,16,1,3,4,2,2,3,9,9,3,3,12,4,6,6,6,18,6,6,6,18,6,6,8,8,12,12,36,12,
12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,4,8,8,16,16,16,1,2,2,3,3,9,3,3,3,
12,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,4,4,4,8,8,8,8,16,1,3,3,3,3,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,8,8,1,3,3,6,
6,1,4,8,3,1,1],[1,1,14,24,16,1,7,7,12,6,6,12,12,12,48,24,16,32,7,3,4,2,9,4,12,
4,6,6,6,6,6,8,12,12,12,12,24,12,12,12,12,24,24,24,24,24,24,16,16,16,1,3,4,2,2,
3,3,3,3,3,4,4,6,6,6,6,6,6,12,12,6,6,12,6,6,6,6,8,8,12,12,12,12,12,12,12,12,12,
12,12,24,4,8,8,16,16,16,1,2,2,3,3,3,3,3,6,3,4,4,6,6,6,6,6,6,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,4,4,4,8,8,8,8,16,1,1,3,3,3,6,6,6,6,6,6,6,6,4,4,4,8,8,1,3,
3,1,4,1,1,1],[1,1,10,72,16,5,10,12,6,6,36,12,144,16,64,32,64,6,10,2,15,18,10,
6,18,6,6,6,8,36,12,12,36,12,24,24,36,36,12,24,24,24,16,32,16,32,16,128,5,2,2,
3,3,18,6,10,6,18,6,18,12,18,12,18,36,12,18,12,6,18,12,12,12,12,12,12,24,12,12,
12,24,12,36,12,12,24,24,4,8,8,32,16,16,16,32,1,3,3,3,6,6,6,3,6,18,3,3,6,6,6,
12,6,6,6,6,18,18,6,6,18,6,12,12,12,12,12,12,12,4,4,4,8,8,8,8,8,8,16,16,1,3,3,
6,3,6,3,3,6,3,6,6,6,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,
12,12,36,24,16,1,6,1,13,6,6,6,6,18,24,12,12,12,12,12,48,48,48,16,32,32,32,6,4,
2,1,3,6,12,6,6,6,3,6,3,3,6,8,6,12,12,6,18,12,12,18,24,12,6,6,6,12,18,12,18,6,
6,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,24,12,24,24,12,12,12,24,12,12,
12,24,12,12,12,16,16,16,16,16,16,16,1,2,2,3,3,6,12,6,6,3,3,3,3,6,3,3,3,6,3,3,
3,6,3,3,4,4,4,4,4,4,6,6,6,6,6,12,6,12,6,12,6,6,6,18,12,12,6,6,6,6,6,12,12,6,6,
6,6,6,6,12,6,12,6,6,6,6,6,6,12,6,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,24,12,
12,12,24,12,12,12,24,4,8,8,16,16,16,16,16,16,16,1,1,1,3,3,3,2,6,6,3,3,3,3,3,3,
6,3,3,3,6,3,3,3,6,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,4,4,4,4,4,4,8,4,4,4,4,4,8,8,4,4,4,4,8,16,1,3,3,3,3,3,3,3,
3,3,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,
4,3,1,1,1,1],[1,1,10,72,16,5,10,12,6,6,36,12,144,16,32,64,64,6,10,2,15,6,10,
18,18,6,6,6,8,12,36,36,12,12,24,36,24,36,12,24,24,24,16,32,32,16,16,128,5,2,2,
3,3,18,6,10,6,18,18,6,12,12,12,12,12,18,18,18,36,6,18,12,12,12,12,12,12,12,12,
24,12,12,12,36,24,24,24,4,8,8,32,16,16,16,32,1,3,3,3,6,6,6,18,3,3,6,3,6,6,6,
18,6,6,18,18,6,6,12,6,6,6,12,12,12,12,12,12,12,4,4,8,4,8,8,8,8,8,16,16,1,3,3,
6,3,3,3,6,6,3,6,6,6,6,6,6,6,4,4,4,8,8,8,8,1,3,3,3,3,3,3,1,4,3,1,1,1,1],[1,1,2,
12,12,36,24,16,1,6,13,1,6,6,6,6,18,24,12,12,12,12,12,48,48,48,16,32,32,32,6,4,
2,1,3,12,6,6,6,6,3,6,3,3,6,8,6,12,18,6,12,24,6,12,6,6,12,18,6,12,12,18,6,12,
18,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,24,36,24,24,24,12,12,12,12,
12,12,12,12,12,16,16,16,16,16,16,16,1,2,2,3,3,6,12,6,6,3,3,3,3,3,3,3,3,6,3,3,
6,3,6,3,4,4,4,4,4,4,12,6,6,6,6,6,6,6,6,6,12,6,12,6,6,6,12,6,6,6,12,12,6,12,6,
12,6,6,6,6,6,12,6,6,6,6,6,12,6,18,12,12,12,12,24,12,12,12,12,24,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,24,12,12,24,12,12,12,12,12,
12,12,12,12,12,12,12,12,4,8,8,16,16,16,16,16,16,16,1,1,1,3,3,3,2,6,3,3,6,3,3,
3,3,6,3,3,3,6,6,3,3,3,3,3,3,3,3,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,12,6,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,4,4,4,4,8,4,4,8,4,4,4,4,8,4,8,4,4,4,4,16,1,3,3,3,6,3,
3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,4,4,4,4,4,4,4,4,4,4,4,4,8,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,1,
4,4,4,3,1,1,1,1],[1,1,6,32,32,24,48,16,1,3,3,6,6,16,16,4,6,6,12,24,12,24,48,
24,24,48,48,32,96,96,96,288,16,32,32,16,16,32,32,3,3,3,1,6,6,3,4,4,16,6,6,6,6,
12,12,12,6,12,8,12,8,8,12,12,24,12,12,12,12,12,12,24,12,24,12,12,24,24,24,24,
24,24,12,12,12,24,24,12,36,24,12,24,24,12,12,12,24,24,12,24,36,12,12,12,12,24,
12,24,24,24,24,24,24,24,12,12,12,36,12,12,24,12,24,24,72,72,48,24,24,48,72,24,
24,48,48,24,64,64,4,16,16,16,8,16,16,16,16,32,32,32,32,1,1,3,1,3,3,3,3,4,4,4,
4,4,4,6,6,9,6,6,12,12,12,9,6,6,6,6,12,6,6,6,6,12,12,6,6,3,3,3,3,6,6,9,8,12,8,
12,8,12,12,12,12,12,6,6,12,6,6,12,12,6,6,18,12,6,24,12,12,12,12,12,24,12,6,12,
6,12,12,12,12,6,6,6,6,12,12,6,6,12,12,12,12,12,12,6,6,6,12,6,12,24,12,6,6,12,
6,24,12,12,12,12,12,6,12,6,12,12,12,12,6,6,12,12,12,12,24,12,12,12,12,24,36,
36,36,12,24,12,36,24,12,12,24,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,36,
12,12,12,12,24,12,24,12,12,24,24,24,12,24,24,24,24,24,12,12,24,24,24,24,12,12,
12,24,24,24,24,12,12,24,12,24,12,24,24,12,12,24,24,24,12,24,12,36,24,24,24,24,
24,24,24,24,24,24,24,24,24,4,4,4,4,4,16,8,8,8,8,8,16,16,16,16,16,16,16,16,1,3,
3,3,3,3,3,3,4,4,4,6,3,3,6,9,9,3,3,6,6,12,3,6,3,3,6,3,3,3,3,6,3,3,3,3,3,3,3,6,
3,3,3,6,3,3,3,6,9,3,3,6,12,8,12,12,12,6,12,6,12,12,6,6,6,12,12,6,6,6,6,6,6,12,
12,12,6,6,6,12,12,12,12,6,12,6,6,12,12,6,6,6,6,6,6,6,6,6,12,12,6,6,12,12,6,6,
6,6,6,6,6,6,6,12,6,6,12,12,12,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,
6,6,6,12,6,6,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,12,24,24,12,12,12,12,
24,12,24,24,24,12,12,12,12,12,12,12,24,12,24,24,12,12,12,12,12,12,12,12,12,12,
12,12,24,12,12,24,12,12,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,16,1,3,
3,3,4,4,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,3,3,6,3,3,3,3,3,3,3,3,3,6,3,3,
3,3,3,6,6,6,12,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,
12,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,3,3,3,3,3,3,3,
3,6,6,6,6,6,6,6,6,1,1,1,1,1,1,1,4,4,4,3,1,1,1,1,1,1,1,1],[1,1,30,96,24,4,1,15,
15,8,8,60,6,6,48,12,12,12,96,24,96,384,4,24,24,24,16,15,4,4,15,20,8,8,45,16,
60,16,6,24,24,6,6,24,6,12,12,48,48,48,12,12,12,12,12,12,12,48,12,24,24,24,24,
24,24,96,24,96,96,24,24,96,24,48,48,48,48,4,4,4,12,12,12,12,8,8,8,8,96,15,4,
15,20,3,3,3,12,3,45,16,16,16,16,16,60,6,6,6,24,24,24,24,24,6,24,24,24,32,32,
12,12,48,12,12,12,12,48,12,12,12,12,48,48,12,48,48,12,12,12,12,48,12,48,12,12,
12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,96,24,24,24,24,24,24,96,24,1,4,4,12,12,12,4,12,12,12,4,4,12,12,12,4,4,4,4,
4,8,8,8,8,8,24,8,8,8,8,8,8,8,6,10,15,8,3,3,12,3,3,3,3,12,3,3,3,3,16,16,16,16,
16,24,6,6,24,6,6,6,6,24,6,6,6,6,24,6,6,6,24,24,32,12,12,12,48,12,12,12,12,12,
12,12,12,12,48,48,48,12,12,12,12,12,12,12,12,12,48,12,12,12,12,48,12,12,48,12,
12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,1,
1,1,3,3,3,3,4,4,4,2,2,2,2,4,4,4,12,4,4,4,4,4,4,12,4,12,4,12,4,4,4,4,4,4,4,4,4,
4,4,4,4,4,4,4,4,8,8,8,8,1,4,4,3,3,3,3,3,3,3,3,3,3,16,16,16,16,6,6,6,6,6,6,6,6,
6,6,6,6,24,24,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,24,24,1,1,3,3,1,3,1,1,3,3,1,3,3,1,3,1,1,1,3,4,2,2,6,2,2,
2,2,2,2,2,2,2,2,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,3,3,3,6,6,6,6,6,6,6,6,6,12,12,1,
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,1,1,1,1,1,1,3,1,1,3,1,2,2,2,2,4,
3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],[1,1,30,32,32,24,16,1,15,15,16,16,60,6,6,
12,12,12,96,96,96,24,192,16,32,32,16,16,32,32,15,15,20,45,60,16,6,6,24,24,6,6,
32,32,12,12,12,48,48,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
48,48,192,48,48,192,48,12,16,16,16,16,16,16,16,32,32,32,32,15,4,4,15,20,3,3,3,
3,45,60,6,6,6,6,24,6,24,24,6,24,24,6,6,6,6,6,6,12,12,12,48,12,12,12,48,12,12,
48,12,12,12,12,48,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,48,
48,48,48,8,4,4,12,16,24,8,8,24,16,16,16,16,16,16,6,10,15,4,3,3,3,3,3,12,3,6,
24,6,6,6,6,6,6,6,24,24,6,6,6,6,6,6,24,6,12,12,12,12,12,12,12,12,48,12,48,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,8,4,4,4,12,12,
12,4,8,8,8,8,8,8,16,1,3,3,3,12,12,3,16,16,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
12,12,12,1,4,4,4,12,4,4,4,8,4,3,3,3,6,6,6,12,1,1,1,1,1,1,1,4,3,1,1,1,1,1,1,1,
1],[1,1,6,32,32,48,24,16,1,3,3,16,16,4,12,12,24,12,24,12,48,48,24,48,24,96,96,
96,192,16,32,32,16,16,32,32,3,1,3,3,16,12,12,9,12,12,12,12,6,12,6,8,8,6,12,12,
24,12,12,12,6,24,24,24,36,36,12,24,36,24,24,36,24,12,36,12,24,12,36,36,12,24,
24,24,24,24,24,24,24,24,24,12,36,24,48,48,48,48,24,24,24,48,24,72,48,24,24,48,
48,48,72,4,16,16,16,16,16,16,16,32,32,32,32,1,1,1,3,3,3,6,4,6,3,12,9,6,6,6,9,
6,6,3,3,6,12,9,6,6,6,3,6,6,6,6,6,6,18,6,6,12,12,6,12,12,12,6,6,18,6,6,6,6,18,
6,6,12,12,6,12,12,6,18,12,6,12,6,18,6,6,6,6,6,12,24,24,24,24,24,24,24,24,24,
24,24,24,12,24,24,12,12,12,24,24,24,12,12,12,12,24,12,24,24,24,24,24,24,24,24,
24,24,48,24,24,24,48,24,48,24,24,24,24,24,24,24,48,24,24,24,24,24,24,24,4,4,4,
16,8,8,8,8,16,16,16,16,16,16,1,3,3,3,4,6,3,9,6,6,6,6,6,3,3,6,3,3,3,6,6,6,3,6,
3,3,6,6,6,3,8,8,6,6,6,12,6,6,6,12,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
12,6,12,6,6,6,12,6,6,6,6,18,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,
12,24,12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,24,24,24,24,1,4,4,4,4,4,4,4,8,8,8,8,16,1,3,3,4,4,3,3,3,6,3,6,3,3,3,3,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,
1,1,1,2,2,2,2,4,4,4,4,4,4,4,1,3,3,3,3,3,3,6,6,6,6,1,1,1,1,1,1,1,2,2,2,2,4,3,1,
1,1,1,1,1,1,1],[1,1,30,24,24,72,40,1,15,15,6,6,12,12,60,10,10,36,20,20,20,72,
72,72,72,40,32,160,160,96,288,192,15,3,3,15,20,6,2,6,45,12,60,4,12,4,12,10,18,
6,18,10,18,18,10,18,10,24,8,24,8,12,20,20,12,36,36,36,20,12,12,20,20,12,36,36,
12,20,20,20,20,20,20,36,20,12,20,20,12,24,24,24,40,24,24,24,40,40,24,24,24,24,
8,40,24,24,40,40,24,8,40,24,40,24,24,40,40,24,40,72,40,72,24,8,24,24,72,8,8,
24,40,72,8,40,24,80,48,48,48,80,80,144,48,48,144,80,80,16,48,48,48,48,80,64,
64,15,3,3,3,15,20,2,2,5,5,5,9,5,45,4,12,4,4,4,12,4,12,12,12,60,4,4,10,10,6,6,
10,6,10,10,10,6,18,10,18,6,18,10,10,18,18,6,18,6,18,10,18,6,18,6,18,10,6,6,18,
6,18,6,10,18,6,8,8,8,8,24,8,8,8,8,24,8,12,20,20,12,12,36,12,20,20,12,12,12,12,
4,20,12,12,36,12,12,12,20,12,20,12,12,36,12,12,4,12,12,20,12,36,20,20,36,12,
12,20,20,12,12,12,12,36,12,36,12,12,12,36,4,36,20,12,36,12,20,20,20,12,12,36,
20,12,4,20,20,12,12,36,12,12,20,12,20,20,20,12,12,12,20,4,20,4,12,12,12,24,8,
24,24,8,24,8,24,40,24,8,8,40,24,24,24,24,24,24,24,8,24,8,24,24,8,24,8,40,40,8,
8,24,8,8,8,24,40,8,8,24,24,8,8,24,24,8,8,40,8,8,24,40,8,24,24,24,8,40,8,8,8,8,
24,40,24,8,24,8,8,24,24,24,8,40,40,24,24,24,24,8,40,8,24,24,24,8,24,40,8,8,72,
8,24,40,8,8,24,24,24,24,40,24,24,24,72,8,8,24,8,40,8,24,40,8,8,40,24,24,8,24,
8,24,8,24,48,16,16,48,48,48,16,16,48,48,48,48,16,48,48,16,48,48,48,16,16,48,
16,80,48,80,16,48,80,16,80,16,6,10,15,3,6,2,2,2,2,5,5,9,3,5,3,3,9,5,3,5,9,5,
12,4,4,12,12,4,12,4,4,12,10,6,6,18,10,6,18,6,10,6,6,6,6,6,6,2,10,10,18,6,10,
10,10,6,6,6,10,6,10,10,6,2,6,6,6,6,18,18,6,6,6,6,2,6,18,10,6,10,6,6,6,10,6,2,
6,18,6,6,6,6,6,6,6,6,6,10,6,6,10,6,10,6,6,18,6,10,10,6,18,18,6,6,6,8,24,8,8,8,
8,8,8,12,12,12,12,4,12,20,36,12,12,12,20,12,4,20,4,12,12,20,12,20,12,12,12,12,
12,4,12,12,12,12,20,20,12,12,12,12,12,12,12,12,12,12,20,12,12,12,20,12,36,12,
12,20,4,20,20,4,12,12,20,12,12,12,12,36,12,12,4,4,4,4,4,36,4,12,12,20,20,20,
36,4,12,20,12,12,12,4,36,4,12,12,12,12,12,4,4,12,4,12,12,20,12,12,12,20,12,12,
12,12,12,12,4,20,12,12,12,12,12,20,4,36,12,12,20,12,4,12,12,20,4,4,12,4,4,4,
12,4,4,4,12,4,4,4,4,12,12,12,4,20,4,36,12,4,20,4,12,4,20,4,4,4,20,12,20,20,12,
4,4,12,36,12,20,20,4,12,12,12,20,20,12,12,12,4,4,4,12,12,4,12,12,4,4,20,4,12,
4,12,4,12,20,4,20,12,12,8,24,24,24,8,24,8,8,8,8,8,24,24,8,24,8,24,24,8,24,24,
24,8,8,8,24,8,40,8,8,24,24,24,24,8,24,24,8,24,8,8,8,24,8,8,8,8,8,8,8,8,8,8,8,
8,8,24,8,8,8,24,8,8,8,40,8,8,24,8,8,24,24,8,8,8,8,8,8,8,8,24,24,24,24,24,8,8,
40,8,8,8,8,8,8,8,8,8,8,24,8,8,8,24,8,24,8,8,24,8,8,8,8,8,8,48,16,48,16,1,1,3,
1,1,3,2,2,2,3,3,3,1,3,3,3,5,5,3,5,1,3,5,3,3,3,9,1,1,9,3,3,5,5,12,4,4,4,12,12,
4,12,12,12,10,10,6,2,2,6,6,6,6,2,2,6,6,2,6,2,6,2,6,2,6,6,10,6,6,10,2,2,2,6,6,
6,6,6,2,6,2,2,6,2,6,10,6,6,6,6,6,10,6,6,2,6,2,2,2,10,2,6,10,10,6,6,6,2,2,10,6,
18,6,6,18,10,2,2,2,2,2,6,2,2,2,2,2,2,6,6,10,6,6,6,2,2,2,2,6,10,6,2,2,2,2,2,10,
2,2,2,6,6,6,6,2,6,10,2,2,2,6,6,6,6,6,10,6,6,6,6,6,2,12,12,4,4,4,12,4,12,12,4,
20,4,12,12,12,12,12,12,12,12,4,12,4,12,12,20,20,4,12,4,12,4,4,12,12,4,4,20,4,
4,4,12,12,4,4,4,4,12,4,4,12,12,12,20,4,4,12,12,4,4,4,4,4,12,4,4,12,4,4,4,4,4,
20,4,4,12,4,12,4,4,4,4,4,4,4,4,4,12,12,4,4,12,4,12,12,12,4,4,12,4,4,4,4,4,4,4,
4,4,4,12,12,4,4,4,4,12,12,12,12,12,12,12,12,4,4,12,4,4,4,12,12,4,12,4,12,12,
12,12,12,4,12,12,20,12,12,4,4,20,12,12,12,4,12,12,12,12,12,4,12,12,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,24,8,24,1,1,3,3,1,2,2,2,1,5,5,1,1,1,1,5,3,3,3,3,3,1,5,3,1,
3,1,1,3,3,3,3,1,3,3,1,5,1,2,2,10,10,6,6,2,6,6,6,2,6,6,6,6,2,2,2,2,2,2,2,2,2,2,
2,2,2,2,2,6,6,6,2,6,2,2,2,2,6,2,2,6,6,2,2,2,2,6,2,2,6,6,2,2,2,2,2,2,2,2,2,2,2,
2,2,6,2,2,2,2,6,6,10,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,6,2,2,2,6,6,6,2,6,
10,2,2,2,2,2,2,6,2,2,2,2,6,2,2,6,6,6,12,4,4,4,4,4,12,4,4,12,4,12,4,4,12,4,4,4,
4,4,4,4,4,4,12,4,1,1,1,1,1,1,3,3,1,1,3,5,1,3,1,1,1,3,1,3,1,3,1,1,1,1,3,1,1,1,
1,1,1,1,1,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,
1,1,1,1,1,1,1,1],[1,1,18,72,8,32,9,6,12,24,36,36,36,144,8,32,48,6,6,2,9,6,18,
18,18,18,18,36,36,36,36,36,72,36,36,36,72,72,16,8,24,24,24,48,48,96,9,9,9,6,
18,6,18,18,12,18,36,36,18,18,36,18,18,36,36,36,36,36,36,36,36,36,36,36,36,16,
2,8,16,24,24,24,24,24,24,24,48,48,1,9,9,9,6,6,18,9,9,18,9,18,18,18,18,18,18,
18,18,18,18,36,36,36,36,16,32,2,6,6,8,12,12,24,24,24,24,24,24,24,48,9,6,9,9,
18,18,18,18,18,8,16,2,2,6,6,6,6,6,6,12,12,24,9,8,8,8,2,6,6,6,6,6,6,6,1,8,6,1,
2,1],[1,1,18,48,8,32,9,6,24,24,36,36,144,72,8,32,64,192,6,2,9,18,18,36,18,48,
36,36,72,72,72,36,144,16,24,24,32,48,96,96,6,9,9,9,6,18,18,18,18,18,36,36,36,
18,36,36,36,36,16,64,2,8,16,24,24,24,48,48,96,1,9,18,18,9,18,18,36,18,36,18,
16,32,6,12,24,24,24,24,48,9,6,9,9,18,8,16,2,2,6,6,24,9,8,2,6,6,6,1,6,1,2,1],[
1,1,30,72,8,32,1,15,15,60,18,18,36,36,36,72,8,32,48,96,96,96,15,15,20,45,60,
18,18,18,18,36,36,36,36,36,36,72,72,72,72,16,8,24,24,24,32,48,48,96,96,15,15,
20,9,9,9,9,45,60,18,18,18,18,36,36,36,36,36,36,36,36,36,72,72,72,72,16,16,16,
2,8,16,24,24,24,24,24,24,24,24,24,48,48,96,6,10,15,9,9,9,9,9,9,18,18,18,36,36,
36,36,36,36,36,36,72,16,16,16,2,6,6,8,12,12,16,24,24,24,24,24,24,24,24,24,48,
48,1,9,9,18,18,18,18,18,18,8,16,2,2,6,6,6,6,6,6,12,12,24,24,48,9,8,8,8,2,2,6,
6,6,6,6,6,6,6,1,8,6,6,1,1,1,1],[1,1,18,8,32,9,6,24,36,36,8,32,6,2,9,18,18,18,
36,36,72,36,36,16,24,24,48,96,9,9,9,6,36,18,36,36,36,36,16,2,8,16,24,24,24,1,
9,18,9,18,18,18,16,6,12,24,24,48,9,9,9,8,16,2,2,6,6,9,8,6,6,1,1,1],[1,1,18,48,
8,32,9,6,24,24,36,36,72,144,8,32,64,192,6,2,9,18,18,36,18,48,36,36,72,72,72,
36,144,16,24,24,32,48,96,96,6,9,9,9,6,18,18,18,18,18,36,36,36,36,36,18,36,36,
16,64,2,8,16,24,24,24,48,48,96,1,9,18,18,18,9,18,18,18,36,36,16,32,6,12,24,24,
24,24,48,9,6,9,9,18,8,16,2,2,6,6,24,9,8,2,6,6,6,1,6,1,2,1],[1,1,18,72,8,32,9,
6,12,24,36,36,36,144,8,32,48,6,6,2,9,18,18,6,18,18,18,36,36,36,36,36,72,36,36,
36,72,72,16,8,24,24,24,48,48,96,9,9,9,6,18,6,18,18,12,36,36,36,36,18,18,18,18,
18,36,36,36,36,36,36,36,36,36,36,36,16,2,8,16,24,24,24,24,24,24,24,48,48,1,9,
9,9,6,6,18,9,9,9,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,16,32,2,6,6,8,
12,12,24,24,24,24,24,24,24,48,9,6,9,9,18,18,18,18,18,8,16,2,2,6,6,6,6,6,6,12,
12,24,9,8,8,8,2,6,6,6,6,6,6,6,1,8,6,1,2,1],[1,1,18,8,32,9,6,24,36,36,8,32,6,2,
9,18,18,18,36,36,72,36,36,16,24,24,48,96,9,9,9,6,36,18,36,36,36,36,16,2,8,16,
24,24,24,1,9,18,9,18,18,18,16,6,12,24,24,48,9,9,9,8,16,2,2,6,6,9,8,6,6,1,1,
1],[1,1,30,24,24,8,32,1,15,15,12,12,60,72,72,72,8,32,48,32,32,96,96,15,15,20,
45,60,12,18,18,24,24,36,36,144,144,16,8,24,24,24,16,16,32,48,48,15,3,3,15,20,
45,60,18,18,18,18,18,36,36,36,36,16,32,32,2,8,16,24,24,24,16,24,24,24,24,48,6,
10,15,3,9,18,18,18,18,36,36,16,16,16,2,6,6,8,16,12,12,12,24,12,1,9,9,12,12,8,
16,2,2,6,6,12,12,3,8,1,2,1,2,3,3,1,1,3,1,1,1,1],[1,1,18,24,24,72,8,32,9,6,12,
12,24,18,18,36,72,72,72,72,288,8,32,32,32,96,96,96,96,96,6,2,9,18,18,18,18,18,
24,24,36,36,36,36,36,36,36,72,36,72,36,72,72,72,72,72,72,72,16,24,24,16,16,48,
96,48,48,96,96,96,96,3,3,9,9,9,6,18,18,18,18,18,18,18,18,36,18,18,18,18,18,18,
36,36,72,72,72,72,16,16,16,32,32,2,8,16,24,24,24,24,24,24,24,24,24,48,48,1,9,
9,9,9,18,18,18,18,18,18,18,18,18,16,16,16,32,32,6,12,12,24,12,12,12,24,24,24,
24,24,48,3,3,9,9,9,9,9,8,16,2,2,6,6,12,12,9,8,1,1,3,6,3,6,1,3,3,1,1,1,1],[1,1,
18,72,72,8,32,9,6,6,6,24,18,18,36,36,72,144,144,8,32,24,24,96,96,96,3,3,6,2,9,
12,18,12,18,18,18,36,18,18,18,18,36,72,72,36,36,36,36,36,36,72,72,16,4,4,12,
12,24,24,24,48,24,96,9,9,9,3,9,3,9,6,9,9,9,9,6,6,18,27,36,27,18,18,9,9,18,18,
18,18,18,18,36,36,36,18,36,18,36,36,18,18,18,18,18,18,16,16,16,2,8,16,24,24,
12,12,24,12,12,12,12,12,24,24,12,24,24,24,24,1,9,3,3,3,3,9,9,9,9,9,9,9,9,9,9,
9,18,9,9,9,9,9,18,9,18,9,9,9,18,9,18,18,18,18,18,18,18,18,16,16,16,1,1,6,3,3,
4,4,6,12,6,24,12,12,12,12,12,12,12,12,24,12,12,48,3,3,9,9,9,9,9,9,9,9,9,9,9,9,
9,8,16,2,2,6,3,3,3,3,3,3,3,3,6,6,6,6,6,12,12,9,4,4,4,8,4,1,1,3,6,3,3,3,3,3,3,
3,3,3,6,1,4,4,3,3,1,1,1,1],[1,1,30,72,8,32,1,15,15,6,6,60,36,72,288,8,32,24,
24,48,15,3,3,15,20,6,6,45,12,60,12,18,18,18,36,36,36,36,72,72,72,72,16,4,8,4,
24,12,12,24,24,32,24,24,96,15,3,15,20,9,45,12,12,12,12,12,60,18,18,18,18,18,
18,18,18,24,24,36,36,36,36,36,36,36,36,72,72,16,2,8,4,16,12,12,24,12,12,24,12,
12,12,12,24,12,12,12,24,24,24,6,10,15,6,9,9,12,12,12,12,12,18,18,18,18,18,18,
24,36,36,36,36,36,36,36,16,16,16,1,1,2,6,3,3,6,4,8,4,6,6,16,12,12,24,12,12,12,
12,12,12,12,12,1,3,3,12,12,12,12,18,18,8,16,2,2,1,3,6,3,3,3,6,3,3,3,3,3,3,3,4,
6,6,6,12,3,4,4,4,4,8,1,2,2,1,3,3,3,3,3,3,3,3,3,3,1,4,4,1,3,1,1,1,1],[1,1,30,
40,1,15,15,60,10,10,20,20,20,40,16,15,15,20,45,60,10,10,10,10,20,20,20,20,20,
20,40,40,40,40,40,40,80,16,32,15,15,20,5,5,5,5,45,60,10,10,10,10,20,20,20,20,
20,20,20,20,20,20,20,40,40,40,40,40,40,40,40,40,16,16,16,6,10,15,5,5,5,5,5,5,
10,10,10,10,10,20,20,20,20,20,20,20,20,20,20,20,20,20,40,16,16,16,1,5,5,5,5,
10,10,10,10,10,10,10,10,10,10,10,16,5,5,5,10,10,1,5,1,1,1,1,1,1,1],[1,1,90,20,
20,1,45,45,36,20,20,60,120,60,15,15,45,45,45,45,45,10,36,72,20,20,60,60,60,60,
15,15,45,45,45,45,45,10,10,10,36,36,36,15,15,60,60,45,10,10,10,36,15,15,15,15,
15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,30,20,20,15,15,45,36,20,20,40,120,
15,15,45,45,45,45,45,10,36,20,20,60,60,60,60,15,15,45,45,45,45,45,10,40,36,15,
15,60,60,45,10,20,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,
30,20,20,15,15,45,36,20,20,40,120,15,15,45,45,45,45,45,10,36,20,20,60,60,60,
60,15,15,45,45,45,45,45,10,40,36,15,15,60,60,45,10,20,20,36,15,15,15,15,15,15,
10,10,10,15,15,6,6,10,6,6,1,1],[1,1,90,20,20,1,45,45,36,20,20,60,120,60,15,15,
45,45,45,45,45,10,36,72,20,20,60,60,60,60,15,15,45,45,45,45,45,10,10,10,36,36,
36,15,15,60,60,45,10,10,10,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,
1],[1,1,30,20,20,15,15,45,36,20,20,40,120,15,15,45,45,45,45,45,10,36,20,20,60,
60,60,60,15,15,45,45,45,45,45,10,40,36,15,15,60,60,45,10,20,20,36,15,15,15,15,
15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,30,20,20,15,15,45,36,20,20,40,120,
15,15,45,45,45,45,45,10,36,20,20,60,60,60,60,15,15,45,45,45,45,45,10,40,36,15,
15,60,60,45,10,20,20,36,15,15,15,15,15,15,10,10,10,15,15,6,6,10,6,6,1,1],[1,1,
14,48,24,16,1,7,7,12,12,12,18,18,24,12,36,12,48,48,24,96,16,32,32,32,7,6,6,3,
4,12,2,12,9,16,12,16,18,12,6,12,18,6,12,6,8,12,12,12,24,24,24,36,12,12,36,12,
24,12,12,24,12,12,24,48,48,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,16,
16,16,16,16,16,16,1,6,3,4,2,2,3,9,9,6,3,3,12,12,16,12,12,12,4,6,6,6,18,6,6,12,
12,12,12,6,12,12,12,18,6,12,6,12,8,8,12,24,12,12,12,24,12,36,12,24,12,12,12,
12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,
24,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,4,16,8,8,16,16,16,16,16,16,16,16,16,16,1,2,2,3,3,6,3,9,3,3,3,3,3,6,3,4,12,
4,12,6,6,12,12,12,6,12,12,6,12,6,6,6,6,12,12,6,6,6,6,6,6,6,6,6,12,12,12,6,6,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,24,12,12,12,12,12,12,12,12,12,12,24,24,24,
24,24,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,1,1,3,3,3,3,3,3,3,3,
3,3,3,6,3,3,6,6,6,6,6,6,6,6,12,6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,
8,8,8,8,16,1,3,3,3,3,3,3,6,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,1,4,4,4,4,4,4,4,
8,8,1,3,3,3,3,3,3,1,1,1,4,3,1,1,1,1],[1,1,14,24,24,120,24,16,1,7,7,2,2,12,12,
12,18,18,60,12,36,12,72,120,24,72,24,96,96,288,192,16,64,64,32,7,1,1,3,4,2,2,
2,9,12,12,12,12,18,30,6,30,18,18,18,6,30,6,24,8,24,12,12,12,12,12,12,36,12,36,
36,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,72,24,24,24,24,24,
24,72,24,24,24,72,24,24,24,24,24,72,24,72,24,24,24,72,24,72,24,72,48,48,48,
144,48,48,48,48,48,48,144,48,48,48,144,144,144,144,16,16,32,32,16,32,32,128,1,
3,3,1,3,4,2,2,3,9,9,15,3,3,12,12,4,6,6,6,6,18,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,
6,6,6,6,18,6,6,6,18,18,6,6,6,6,18,6,6,6,6,8,8,8,8,8,8,8,8,12,12,36,12,12,12,
12,12,12,12,12,12,36,12,12,12,12,12,36,12,24,12,12,12,36,12,24,12,12,12,12,24,
24,12,12,12,12,12,12,36,12,12,12,12,12,36,12,12,36,12,12,12,12,12,12,12,24,72,
24,24,72,24,24,24,24,24,24,72,72,24,24,24,72,24,72,24,72,24,24,24,72,24,24,24,
24,72,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,
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,
48,48,4,8,8,16,16,16,16,32,16,16,16,32,32,32,1,3,2,2,2,2,2,3,3,3,9,9,3,3,3,3,
4,4,4,12,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,
24,24,8,8,8,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,24,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,
72,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,48,48,48,48,4,4,8,8,4,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,32,1,
3,1,2,2,3,3,9,3,3,9,3,3,3,3,3,3,12,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,
8,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,16,16,16,3,1,2,3,3,3,3,3,3,3,3,3,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,
1,4,4,4,4,4,4,4,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,1,2,2,4,8,3,1,1,1,1],[1,1,30,24,
24,24,24,16,1,15,15,2,2,12,12,60,6,6,12,12,12,12,72,24,72,72,24,96,96,96,192,
16,96,15,1,1,15,20,2,2,2,45,4,60,4,12,6,6,6,6,6,18,18,6,6,6,24,8,24,12,12,12,
12,12,12,12,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
48,48,48,48,48,144,48,48,144,48,48,48,48,16,48,48,32,32,15,3,3,1,15,20,2,2,3,
3,3,3,3,45,4,4,4,4,4,60,6,6,6,6,6,6,6,6,6,6,18,6,6,6,18,6,6,18,6,6,6,6,18,6,
18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,12,12,12,12,36,12,12,12,12,12,
12,12,12,12,12,36,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,36,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,4,16,8,8,48,16,16,
48,16,16,32,32,6,10,15,3,2,2,2,2,2,3,3,3,3,3,3,3,9,3,4,4,4,4,4,4,6,6,6,6,6,6,
18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,18,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,8,8,8,8,8,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,
12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,48,48,4,12,12,16,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,1,1,1,1,2,2,3,3,
3,3,3,3,9,9,3,3,3,12,4,4,4,4,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,4,12,4,4,12,4,4,8,8,8,8,8,8,8,8,8,8,16,16,3,1,1,2,2,3,
3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,4,4,4,4,4,4,4,8,8,1,1,1,3,
3,3,3,1,2,2,4,1,1,1,1,1],[1,1,14,24,24,72,72,16,1,7,7,14,14,12,12,12,6,6,36,
36,12,36,72,72,24,72,72,96,288,288,288,96,192,16,32,32,32,64,7,7,7,3,4,14,2,
14,9,12,12,12,12,12,12,6,18,6,18,6,18,18,18,18,18,24,8,24,24,12,36,36,36,36,
36,36,12,36,36,36,12,36,36,12,36,36,36,36,36,36,36,36,36,36,36,36,12,24,72,24,
24,24,24,24,24,24,24,24,24,72,24,72,24,24,24,24,24,24,24,24,72,72,72,72,72,72,
24,72,24,24,24,24,24,24,24,24,72,24,24,24,72,48,48,48,144,48,48,48,48,48,48,
144,48,48,192,192,16,16,16,16,16,16,16,32,32,32,32,1,3,3,7,3,4,2,2,9,3,3,9,9,
3,12,12,12,12,12,12,12,12,12,4,12,12,18,18,6,6,6,6,18,18,18,6,6,18,18,6,18,18,
18,6,6,6,18,6,6,18,18,6,18,6,6,6,6,6,6,6,6,6,18,18,6,24,8,24,8,8,24,8,8,8,8,8,
12,12,12,36,12,12,36,12,12,12,12,12,36,12,36,36,36,36,36,36,36,36,12,12,36,12,
36,36,36,36,12,12,12,12,12,12,36,36,12,12,36,36,36,36,12,12,12,36,12,12,12,12,
12,12,36,12,36,12,36,12,36,12,12,12,12,12,12,36,36,12,12,36,12,36,36,12,36,12,
36,36,12,12,12,12,36,12,36,24,24,72,24,24,24,24,24,24,24,24,72,24,24,24,24,24,
24,72,24,24,72,24,24,24,24,72,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,72,24,24,72,72,72,24,72,72,
72,72,24,72,24,24,24,72,72,24,72,72,24,24,24,24,24,24,72,72,72,24,72,24,24,24,
24,24,24,72,24,72,24,72,72,24,24,72,72,72,24,72,24,24,72,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,4,16,8,8,16,16,16,16,16,16,16,16,16,16,
32,32,32,32,32,32,32,32,32,32,32,32,1,3,2,2,2,2,2,3,9,9,9,3,3,9,3,3,3,3,3,3,4,
12,4,4,12,12,12,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,18,6,18,6,6,6,6,6,18,6,18,6,
6,6,6,6,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,18,
6,6,6,6,6,6,6,6,6,6,6,6,8,8,24,8,8,8,12,12,36,12,12,36,12,12,12,12,12,12,36,
36,12,12,12,12,12,12,12,12,12,12,12,36,36,36,12,12,12,12,12,36,36,12,12,12,36,
12,12,12,12,36,12,12,12,12,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,36,36,12,12,12,12,36,12,36,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,36,12,12,12,12,12,36,12,12,36,36,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,24,24,24,72,72,24,24,24,24,24,72,24,24,24,72,
72,72,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,72,72,24,24,24,24,24,24,24,
24,24,24,24,24,24,72,24,24,72,24,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,4,4,4,4,4,4,
4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,32,32,32,32,1,
3,1,2,2,3,3,3,3,3,3,3,3,3,3,3,9,3,3,3,3,3,3,9,3,12,12,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,36,12,12,12,12,36,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,
24,24,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,3,1,2,3,3,3,3,3,3,3,3,3,3,
3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,12,12,12,12,12,12,12,12,12,12,12,1,4,4,4,4,4,4,4,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,1,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,2,2,4,8,3,1,1,1,2,
2,1],[1,1,30,72,64,1,15,15,60,18,18,36,36,36,72,32,64,64,64,15,15,20,6,45,60,
4,4,18,18,18,18,18,24,8,36,36,36,36,12,36,36,36,12,36,72,72,24,72,24,72,72,72,
24,24,72,24,48,64,32,64,64,15,15,20,6,6,9,9,9,9,45,4,4,4,60,18,18,18,18,18,18,
18,18,18,18,8,24,24,36,12,36,12,12,12,36,36,36,12,36,36,36,36,36,12,36,36,36,
12,12,12,24,24,72,24,72,24,72,72,24,24,24,72,24,24,24,24,24,24,24,32,16,16,48,
16,16,32,64,6,10,15,6,6,9,9,9,9,9,9,4,4,18,18,6,6,6,6,18,18,18,6,18,18,18,6,
18,18,18,18,18,12,36,12,36,12,12,12,12,12,12,36,12,12,12,12,36,36,36,12,12,12,
12,12,12,36,36,36,12,12,36,12,36,36,72,24,24,24,24,4,32,16,16,16,16,16,16,16,
16,48,32,32,32,1,3,1,1,2,3,9,9,9,3,3,3,18,18,6,18,6,6,6,6,6,18,6,18,18,18,6,
18,18,18,18,6,6,6,6,6,6,6,6,6,18,6,12,12,12,12,12,12,12,12,4,4,4,4,4,16,16,16,
32,3,6,3,3,3,3,9,9,18,6,6,6,6,6,6,6,6,6,6,6,12,4,4,4,4,4,4,4,4,4,8,3,1,3,3,3,
3,3,4,4,4,3,1,1],[1,1,14,96,72,16,1,7,7,12,6,6,48,36,12,36,96,48,72,96,192,16,
64,64,32,64,7,3,4,2,9,16,12,12,16,12,6,24,6,24,6,18,24,18,8,24,12,36,12,12,24,
36,36,36,36,36,12,24,24,24,72,48,72,48,24,24,48,24,24,24,48,96,48,96,48,48,48,
48,16,16,32,32,16,32,32,128,1,3,4,2,2,9,3,3,12,9,3,12,16,12,4,18,6,6,6,6,18,
12,12,12,6,12,12,6,6,12,12,6,24,8,8,12,36,24,12,36,12,24,12,12,36,12,24,24,12,
24,24,12,12,12,24,24,12,24,36,36,24,12,12,24,36,24,24,24,24,48,24,24,48,24,24,
24,24,24,24,24,24,24,24,72,48,48,24,24,24,24,24,24,24,72,24,48,48,48,48,4,8,8,
16,16,16,16,16,32,16,16,32,32,32,1,2,2,3,9,3,6,6,3,6,3,6,3,12,4,4,6,18,6,6,6,
12,6,6,6,6,6,12,6,6,6,6,18,12,6,6,6,6,6,12,6,12,12,12,12,12,12,24,36,12,12,24,
12,12,12,12,12,12,24,24,12,12,12,12,12,12,12,12,12,24,12,12,12,12,24,12,12,12,
12,12,12,24,24,12,12,12,24,48,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,4,8,
8,4,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,32,1,1,3,6,3,3,3,6,3,3,3,3,3,6,6,
6,6,6,6,6,6,12,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,6,6,6,6,6,12,6,12,6,6,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,12,8,4,4,4,4,4,4,4,8,8,8,8,8,
8,8,8,8,8,8,16,16,1,3,3,3,3,3,6,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,1,4,
4,4,4,4,4,4,8,8,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,30,8,8,72,24,64,1,15,15,
6,6,4,4,60,6,6,36,12,12,12,24,72,24,24,24,32,96,96,96,288,64,128,128,15,3,3,
15,20,6,6,45,12,60,4,12,4,4,6,18,18,6,6,6,6,18,6,8,8,8,12,12,12,36,36,36,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,72,24,72,72,24,24,72,24,24,48,48,48,48,48,48,48,48,
48,48,48,48,64,64,48,64,32,64,64,15,1,1,3,15,20,3,3,3,9,3,45,4,12,4,4,4,12,4,
12,12,12,60,4,4,6,6,6,6,6,6,6,6,18,6,6,6,6,18,18,6,6,6,18,18,6,18,18,6,18,8,8,
24,8,24,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,
12,12,36,12,12,12,12,12,12,12,12,12,12,12,36,36,12,36,36,12,12,12,12,12,12,12,
12,36,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,
24,24,48,48,48,48,32,48,16,16,32,32,32,64,64,64,6,10,15,1,6,3,3,9,3,3,3,3,9,3,
3,3,3,3,12,4,12,12,4,12,4,4,12,6,18,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,18,
6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,18,18,24,8,8,8,12,12,12,12,12,36,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,36,12,12,12,36,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,
12,36,12,12,12,12,12,12,12,12,36,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,
12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,4,32,16,16,16,48,16,16,16,16,16,32,32,32,1,3,
1,1,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,12,12,4,12,12,4,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,4,4,4,
8,8,16,16,16,32,1,1,1,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,6,6,
4,4,4,8,1,1,1],[1,1,30,48,48,24,64,1,15,15,24,24,60,6,6,12,12,12,144,144,144,
24,32,192,64,128,128,15,15,20,45,60,4,4,24,6,6,36,36,6,6,48,48,8,12,12,12,72,
72,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,
48,288,48,48,288,48,48,48,64,64,64,32,15,6,6,15,20,3,3,3,3,45,4,4,4,60,6,6,6,
6,36,6,36,36,6,36,36,6,6,6,6,6,6,8,12,12,12,72,12,12,12,12,12,12,72,12,12,12,
72,12,12,12,12,12,12,72,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,32,48,16,16,64,
32,96,96,6,10,15,6,3,3,3,3,3,18,3,4,4,6,36,6,6,6,6,6,6,6,6,6,36,6,36,6,6,6,6,
6,6,6,6,6,36,6,12,12,12,12,12,12,12,12,12,12,12,12,72,12,12,72,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,24,24,24,24,24,24,24,24,24,4,32,16,16,48,48,16,16,48,16,16,32,1,1,1,2,3,
3,3,3,3,18,3,18,3,3,24,24,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,4,4,4,8,8,16,16,48,6,3,3,
3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,4,4,4,4,4,4,4,4,4,8,1,3,3,3,3,3,3,
4,4,4,3,1,1],[1,1,30,72,16,1,15,15,60,18,18,36,36,36,72,96,16,96,64,15,15,20,
2,45,60,12,12,18,6,18,18,18,8,24,12,36,36,36,36,36,36,36,36,12,24,72,24,72,72,
72,24,24,24,24,72,24,16,48,48,32,32,15,15,20,2,2,9,9,9,9,45,12,12,12,60,18,6,
6,18,6,18,6,18,6,6,24,8,8,36,36,12,36,36,12,12,36,36,36,36,12,36,36,36,12,36,
36,12,12,12,36,24,24,72,24,72,24,24,72,24,72,24,72,24,24,24,24,72,24,24,4,16,
8,8,48,16,48,16,16,16,32,32,6,10,15,2,2,9,9,9,9,9,9,12,12,6,18,18,18,6,6,6,6,
6,18,18,6,6,18,18,6,6,6,6,36,36,36,36,12,36,36,12,12,12,12,12,12,12,12,36,12,
36,12,12,12,12,12,12,12,36,36,12,12,36,12,36,12,72,24,24,24,24,4,12,12,16,8,8,
8,8,8,8,8,8,8,8,16,16,16,16,16,16,1,1,3,3,6,3,3,9,9,9,3,9,18,18,6,6,6,6,6,6,
18,18,18,18,6,6,6,18,6,6,18,6,6,6,18,6,18,6,6,18,6,6,12,12,12,12,12,12,12,12,
4,12,4,12,4,4,4,8,8,8,8,8,8,8,8,8,8,16,1,2,3,9,9,3,3,9,6,6,6,18,6,6,6,6,6,6,6,
6,12,1,4,4,4,4,4,4,4,8,8,1,3,3,3,3,3,3,1,2,2,4,3,1,1,1,1],[1,1,30,144,24,16,1,
15,15,12,12,60,6,6,72,12,12,12,144,24,96,576,16,96,96,96,15,6,6,15,20,12,2,12,
45,24,60,24,6,36,6,36,6,6,36,6,8,12,12,12,72,72,72,12,12,12,12,12,12,12,72,12,
12,24,24,24,24,24,24,24,24,144,24,144,24,24,24,144,24,24,144,24,48,48,48,48,
48,16,16,16,48,48,48,48,384,15,6,15,20,2,2,3,3,3,18,3,45,24,24,24,24,24,60,6,
6,6,6,6,6,36,36,6,36,36,36,6,6,36,36,6,36,48,8,8,48,12,12,12,12,72,12,12,12,
12,12,72,12,12,12,12,72,72,12,12,72,12,72,12,12,12,12,72,12,72,12,12,12,12,12,
12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,144,24,24,24,24,24,24,24,144,24,24,24,24,48,48,48,
48,4,16,16,8,8,48,48,48,48,48,48,48,48,48,96,6,10,15,12,2,2,3,3,18,3,3,3,3,18,
3,3,3,3,24,24,24,24,24,6,36,6,6,36,6,6,6,6,36,6,6,6,6,6,6,6,6,6,6,36,6,6,6,6,
6,6,6,36,36,6,48,12,12,12,12,72,12,12,12,12,12,12,12,12,12,12,12,12,72,12,72,
72,12,12,12,12,12,12,12,12,12,12,12,12,72,12,12,12,12,12,12,12,12,72,12,12,12,
12,72,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,4,4,12,12,12,12,16,16,16,
8,8,8,8,8,8,8,8,48,48,48,48,32,1,1,6,6,3,3,3,3,3,3,3,3,3,3,3,3,3,24,24,24,24,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,36,36,6,6,6,6,6,6,6,6,6,6,
6,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,24,24,4,4,12,12,12,12,12,12,12,12,12,16,8,8,
8,8,8,8,24,8,8,16,6,1,2,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,12,12,12,1,4,4,4,12,12,12,12,8,8,1,3,3,3,3,3,3,6,6,6,6,1,1,1,4,
2,2,3,1,1,1,2,2,1],[1,1,10,40,5,10,30,30,60,96,40,160,10,10,15,10,30,30,30,40,
60,60,96,80,40,80,5,10,10,15,15,10,30,30,60,30,60,60,96,10,40,40,40,40,40,1,
15,30,15,30,30,30,10,20,40,20,40,40,5,15,15,10,10,10,16,5,6,5,10,6,5,1],[1,1,
30,48,48,72,8,32,1,15,15,24,24,60,18,18,36,36,36,144,144,144,72,576,8,32,48,
64,64,96,96,96,192,192,15,15,20,45,60,24,18,18,36,36,18,18,48,48,36,36,36,72,
72,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,144,288,144,
144,288,144,16,8,24,24,24,32,32,32,48,48,96,96,96,96,192,192,192,192,15,6,6,
15,20,9,9,9,9,45,60,18,18,18,18,36,18,36,36,18,36,36,18,18,18,18,18,18,36,36,
36,72,36,36,36,72,36,36,72,36,36,36,36,72,36,36,36,36,36,36,36,36,36,72,72,72,
72,72,72,72,72,72,72,144,144,144,144,16,16,16,64,64,2,8,16,24,24,24,24,24,24,
24,24,24,32,48,48,48,48,48,48,96,96,96,96,96,96,6,10,15,6,9,9,9,9,9,18,9,18,
36,18,18,18,18,18,18,18,36,36,18,18,18,18,18,18,36,18,36,36,36,36,36,36,36,36,
72,36,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,72,16,
16,16,32,32,64,64,2,6,6,8,12,12,16,24,24,24,24,24,24,24,24,24,24,24,24,24,48,
48,48,48,48,48,96,1,9,9,9,18,18,9,24,24,18,18,18,18,18,18,18,18,18,18,18,18,
18,36,36,36,36,36,36,8,16,16,16,32,32,2,2,6,6,6,6,6,6,12,12,24,24,24,24,24,24,
24,24,48,6,9,9,9,18,18,18,36,8,8,8,16,2,2,2,2,6,6,6,6,6,6,6,6,6,6,24,9,1,8,2,
6,6,6,6,6,6,6,1,1,1,2,2,6,1,1,1,2,2,1],[1,1,18,48,72,8,32,9,6,12,24,24,36,36,
36,72,144,144,8,32,48,64,192,6,6,2,9,6,18,18,18,18,36,18,48,36,36,36,36,36,36,
72,72,36,72,36,72,36,72,36,36,72,144,72,16,8,24,24,24,32,48,48,96,96,6,9,9,9,
6,18,6,18,18,18,18,18,18,18,12,36,18,36,36,36,36,18,36,18,36,18,18,36,36,36,
36,36,36,72,72,36,36,36,36,36,36,36,36,72,72,72,72,16,64,2,8,16,24,24,24,24,
24,24,24,48,48,48,48,96,1,9,9,9,6,6,18,18,18,18,18,9,9,18,9,18,18,18,18,36,18,
18,18,18,18,18,36,18,18,36,36,36,36,36,36,36,36,16,32,32,2,6,6,8,12,12,24,24,
24,24,24,24,24,24,24,48,9,9,9,6,6,9,9,18,18,9,9,18,18,18,18,18,18,18,18,8,16,
16,16,2,2,6,6,6,6,6,6,12,12,24,24,9,9,9,9,9,9,9,8,8,8,16,2,2,6,6,6,6,6,6,6,6,
9,1,8,6,6,1,2,2,1,1,1,1],[1,1,18,48,72,8,32,9,6,12,24,24,36,36,36,72,144,144,
8,32,48,64,192,6,6,2,9,18,18,6,18,18,36,18,48,36,36,36,36,36,36,72,72,72,36,
36,72,36,72,36,36,72,144,72,16,8,24,24,24,32,48,48,96,96,6,9,9,9,6,18,6,18,18,
18,18,18,18,18,12,36,36,36,36,36,36,18,36,18,36,18,18,18,36,36,72,36,72,36,36,
36,36,36,36,36,36,36,36,72,72,72,72,16,64,2,8,16,24,24,24,24,24,24,24,48,48,
48,48,96,1,9,9,9,6,6,18,18,18,18,18,9,9,9,18,18,18,18,18,18,18,18,18,18,18,18,
36,36,36,18,36,36,36,36,36,36,36,16,32,32,2,6,6,8,12,12,24,24,24,24,24,24,24,
24,24,48,9,9,9,6,6,9,9,18,18,9,9,18,18,18,18,18,18,18,18,8,16,16,16,2,2,6,6,6,
6,6,6,12,12,24,24,9,9,9,9,9,9,9,8,8,8,16,2,2,6,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,
1,1,1,1],[1,1,30,144,72,8,32,1,15,15,12,12,60,18,18,72,36,36,36,144,72,288,
576,8,32,48,48,48,96,96,96,15,6,6,15,20,12,12,45,24,60,24,18,36,36,18,18,36,
18,36,36,72,72,72,36,36,36,36,36,36,36,72,36,72,72,72,72,72,72,144,72,144,144,
72,72,144,72,144,144,144,144,16,8,8,8,24,24,24,24,24,32,48,48,48,48,96,96,192,
15,6,15,20,9,9,9,18,9,45,24,24,24,24,24,60,18,18,18,36,36,36,36,36,18,36,36,
36,48,48,36,36,72,36,36,36,36,72,36,36,36,36,72,72,36,72,72,36,36,36,36,72,36,
72,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,144,72,72,72,72,72,72,144,72,16,16,16,2,8,8,16,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,48,48,48,48,48,48,48,48,
48,96,6,10,15,12,9,9,18,9,9,9,9,18,9,9,9,9,24,24,24,24,24,36,18,18,36,18,18,
18,18,36,18,18,18,18,36,18,18,18,36,36,48,36,36,36,72,36,36,36,36,36,36,36,36,
36,72,72,72,36,36,36,36,36,36,36,36,36,72,36,36,36,36,72,36,36,72,36,36,36,36,
36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,16,16,16,32,
32,2,2,2,6,6,6,6,8,8,8,12,12,12,12,16,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,48,
48,48,1,6,6,9,9,9,9,9,9,9,9,9,9,24,24,24,24,18,18,18,18,18,18,18,18,18,18,18,
18,36,36,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,72,72,8,16,16,16,32,32,2,2,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,48,6,9,9,9,18,18,18,18,18,18,18,18,18,36,36,8,8,8,8,8,8,8,16,2,
2,2,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,
12,12,12,24,9,1,8,8,8,8,8,8,8,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,1,1,1,2,2,8,6,1,
1,1,2,2,1],[1,1,30,72,8,32,1,15,15,60,18,18,36,36,36,72,8,32,48,96,96,96,15,
15,20,45,60,18,18,18,18,36,36,36,36,36,36,72,72,72,72,72,72,72,72,16,8,24,24,
24,32,48,48,96,96,15,15,20,9,9,9,9,45,60,18,18,18,18,36,36,36,36,36,36,36,36,
36,36,36,36,36,72,72,72,72,72,72,72,72,16,16,16,2,8,16,24,24,24,24,24,24,24,
24,24,48,48,96,6,10,15,9,9,9,9,9,9,18,18,18,18,18,36,36,36,36,36,36,36,36,36,
36,36,36,36,72,16,16,16,2,6,6,8,12,12,16,24,24,24,24,24,24,24,24,24,48,48,1,9,
9,9,9,18,18,18,18,18,18,18,18,18,18,18,8,16,16,16,2,2,6,6,6,6,6,6,12,12,24,24,
48,9,9,9,18,18,8,8,8,16,2,2,6,6,6,6,6,6,6,6,9,1,8,6,6,1,1,1,1,1,1,1],[1,1,18,
48,72,8,32,9,6,12,24,24,36,36,36,144,72,144,8,32,48,64,192,6,6,2,9,6,18,18,18,
18,36,18,48,36,36,36,36,36,36,72,72,36,72,72,36,36,72,36,36,72,144,72,16,8,24,
24,24,32,48,48,96,96,6,9,9,9,6,18,6,18,18,18,18,18,18,18,12,36,18,36,36,18,18,
36,36,18,36,18,36,36,36,36,36,36,36,72,36,72,36,36,36,36,36,36,36,72,72,72,72,
16,64,2,8,16,24,24,24,24,24,24,24,48,48,48,48,96,1,9,9,9,6,6,18,18,18,18,9,9,
18,9,18,18,18,18,18,18,36,18,18,36,18,18,18,36,36,18,18,36,36,36,36,36,36,16,
32,32,2,6,6,8,12,12,24,24,24,24,24,24,24,24,24,48,9,9,9,6,6,9,9,9,18,18,9,18,
18,18,18,18,18,18,18,8,16,16,16,2,2,6,6,6,6,6,6,12,12,24,24,9,9,9,9,9,9,9,8,8,
8,16,2,2,6,6,6,6,6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,1,18,48,72,8,32,9,6,12,
24,24,36,36,36,144,72,144,8,32,48,64,192,6,6,2,9,18,18,6,18,18,36,18,48,36,36,
36,36,36,36,72,72,72,36,72,36,36,72,36,36,72,144,72,16,8,24,24,24,32,48,48,96,
96,6,9,9,9,6,18,6,18,18,18,18,18,18,18,12,36,36,36,36,36,18,18,18,36,18,36,18,
36,36,36,72,36,36,36,72,36,36,36,36,36,36,36,36,72,72,72,72,16,64,2,8,16,24,
24,24,24,24,24,24,48,48,48,48,96,1,9,9,9,6,6,18,18,18,18,9,9,9,18,18,18,18,18,
18,18,18,36,18,18,36,18,18,18,18,36,36,36,36,36,36,36,36,16,32,32,2,6,6,8,12,
12,24,24,24,24,24,24,24,24,24,48,9,9,9,6,6,9,9,9,18,18,9,18,18,18,18,18,18,18,
18,8,16,16,16,2,2,6,6,6,6,6,6,12,12,24,24,9,9,9,9,9,9,9,8,8,8,16,2,2,6,6,6,6,
6,6,6,6,9,1,8,6,6,1,2,2,1,1,1,1],[1,1,30,30,90,20,20,1,15,15,15,15,45,45,360,
36,20,20,40,40,60,120,60,120,120,15,15,15,15,45,45,45,45,45,45,45,45,45,45,45,
45,45,45,45,90,90,10,36,72,20,20,20,20,20,20,60,60,60,60,60,60,60,60,120,120,
120,120,15,15,15,15,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,10,10,10,40,40,36,36,36,20,15,15,20,60,60,
60,60,60,60,60,60,60,60,60,60,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,10,
10,10,20,20,20,20,40,40,36,36,36,15,15,15,15,15,15,15,15,15,15,15,15,15,15,60,
60,45,10,10,10,10,10,10,10,20,20,20,20,36,15,15,15,15,15,15,15,15,15,15,15,15,
15,15,6,6,10,10,10,10,10,10,10,15,15,6,6,6,6,6,6,10,6,6,1,1,1,1,1],[1,1,30,30,
90,20,20,1,15,15,15,15,45,45,360,36,20,20,40,40,60,120,60,120,120,15,15,15,15,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,10,36,72,20,20,20,20,20,20,
60,60,60,60,60,60,60,60,120,120,120,120,15,15,15,15,15,15,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,10,10,10,
40,40,36,36,36,20,15,15,20,60,60,60,60,60,60,60,60,60,60,60,60,15,15,45,45,45,
45,45,45,45,45,45,45,45,45,45,10,10,10,20,20,20,20,40,40,36,36,36,15,15,15,15,
15,15,15,15,15,15,15,15,15,15,60,60,45,10,10,10,10,10,10,10,20,20,20,20,36,15,
15,15,15,15,15,15,15,15,15,15,15,15,15,6,6,10,10,10,10,10,10,10,15,15,6,6,6,6,
6,6,10,6,6,1,1,1,1,1],[1,1,30,24,24,168,72,16,1,15,15,14,14,12,12,60,18,18,84,
36,36,36,72,168,72,72,72,96,288,288,288,672,192,16,96,96,96,64,15,7,7,15,20,
14,2,14,45,28,60,12,28,12,12,18,42,6,42,18,18,18,18,42,18,24,8,24,24,12,36,36,
36,84,84,84,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,84,36,36,36,36,12,24,
72,24,72,24,24,24,72,72,24,24,24,72,24,72,24,24,72,72,24,24,72,24,72,72,72,72,
72,72,72,168,72,168,24,24,24,24,168,24,24,72,72,168,24,72,72,144,48,48,144,
144,144,144,48,48,144,144,144,48,48,144,144,144,144,192,192,16,16,16,48,48,48,
48,32,32,32,32,384,15,3,3,7,15,20,2,2,9,9,9,21,9,45,12,28,12,12,12,28,12,28,
28,28,60,12,12,18,18,6,6,18,6,18,18,18,6,18,18,42,6,18,18,18,18,42,6,42,6,18,
18,18,6,42,6,42,18,6,6,42,6,42,6,18,42,6,24,8,24,8,56,24,8,8,8,56,8,12,36,36,
36,12,36,36,36,36,12,12,12,36,12,36,36,36,84,36,36,36,36,36,36,12,36,36,36,36,
12,36,36,36,12,84,36,36,36,36,36,36,36,36,36,36,36,84,12,84,36,12,12,84,12,84,
36,36,36,36,36,36,36,36,12,84,36,12,12,36,36,36,12,84,36,12,36,36,36,36,36,36,
36,12,36,12,36,12,36,12,36,24,24,72,72,24,72,24,72,72,24,24,24,72,24,24,24,24,
72,72,24,24,72,24,24,72,24,72,24,72,72,24,24,72,24,24,24,72,72,24,24,72,72,24,
24,72,24,24,24,72,24,24,24,72,24,24,24,24,24,72,24,24,24,24,72,72,72,24,72,24,
24,72,72,72,24,72,72,72,72,72,72,24,72,24,72,72,72,24,72,72,24,24,168,24,24,
72,24,24,72,72,72,72,72,72,72,72,168,24,24,72,24,72,24,72,72,24,24,72,72,72,
24,72,24,24,24,72,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,144,48,144,48,48,144,48,144,48,4,16,16,8,8,48,48,48,16,48,48,48,16,
16,48,48,48,16,16,16,16,16,32,32,32,32,32,96,32,32,32,32,32,32,32,6,10,15,3,
14,2,2,2,2,9,9,21,9,9,9,9,21,9,9,9,9,9,28,12,4,28,28,12,28,12,12,28,18,6,6,42,
18,6,18,6,18,18,18,18,6,6,6,6,18,18,42,18,18,18,18,6,18,6,18,6,18,18,6,6,18,6,
6,18,42,18,18,6,6,6,6,6,18,18,6,18,18,18,6,18,18,6,6,42,6,6,6,6,18,18,18,6,6,
18,6,6,18,6,18,6,6,18,6,18,18,6,42,42,6,6,6,8,56,24,24,24,8,8,8,36,12,36,36,
12,36,36,84,36,36,12,36,12,12,36,12,36,36,36,12,36,12,36,36,12,36,12,36,12,12,
12,36,36,36,36,36,12,12,12,12,12,36,36,36,12,12,36,36,12,36,12,36,36,12,36,36,
12,12,36,36,12,36,36,12,36,36,36,12,12,12,12,12,84,12,12,12,36,36,36,84,12,12,
36,36,36,12,12,84,12,36,36,36,36,12,12,12,12,12,12,12,36,12,12,12,36,12,12,12,
36,12,12,12,36,12,36,36,12,36,36,12,84,12,36,36,12,12,36,12,36,12,12,12,12,12,
12,12,12,12,12,36,12,12,12,12,36,36,12,12,36,12,84,12,12,36,12,12,12,36,12,12,
12,36,12,36,36,12,12,12,12,84,36,36,36,12,12,12,12,36,36,12,12,12,12,12,12,12,
36,12,36,36,12,12,36,12,12,12,12,12,12,36,12,36,12,36,24,72,72,72,24,72,24,24,
24,24,24,72,72,24,72,24,72,72,24,72,72,72,24,24,24,72,24,72,24,24,72,72,72,72,
24,72,72,24,72,24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,
72,24,24,24,72,24,24,72,24,24,72,72,24,24,24,24,24,24,24,24,72,72,72,24,24,24,
24,72,24,24,24,24,24,24,24,24,24,24,72,24,24,24,72,24,24,24,24,24,24,24,24,24,
24,24,48,48,48,48,4,4,4,12,12,12,12,16,16,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,16,16,16,48,16,16,16,16,16,16,48,16,48,16,48,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,32,32,32,32,32,1,1,7,3,3,7,2,2,6,9,3,9,3,9,3,9,9,9,
9,9,3,9,9,9,9,9,9,3,3,9,3,9,9,9,12,12,12,12,28,28,12,28,28,12,18,18,6,6,6,18,
6,6,6,6,6,6,18,6,6,6,18,6,6,6,18,6,18,6,18,18,6,6,6,6,6,18,6,18,6,6,6,6,6,6,
18,18,6,6,18,6,6,18,6,6,6,6,6,6,6,18,6,6,18,18,6,6,6,6,6,18,6,42,6,6,42,18,6,
6,6,6,6,18,6,6,6,6,6,6,6,18,18,18,6,18,6,6,6,6,18,18,6,6,6,6,6,6,18,6,6,6,18,
18,6,18,6,18,18,6,6,6,6,18,18,18,18,18,18,18,18,6,6,6,36,36,12,12,12,36,12,36,
36,12,36,12,12,36,36,36,36,36,36,12,12,12,12,36,36,36,36,12,12,12,12,12,12,36,
12,12,12,36,12,12,12,12,12,12,12,12,12,36,12,12,36,12,36,36,12,12,36,36,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,36,12,36,12,12,12,12,12,12,12,12,
12,12,36,12,12,12,12,36,12,36,12,12,36,12,12,12,12,12,12,12,12,12,12,36,36,12,
12,12,12,36,36,12,36,36,36,12,12,12,12,12,12,12,12,36,36,12,12,12,36,12,12,12,
12,12,12,12,36,36,36,12,12,36,12,36,36,12,12,12,12,12,12,12,36,12,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,72,24,72,4,4,12,12,4,12,4,4,12,12,4,12,12,4,
12,4,4,4,12,16,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,24,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,3,3,3,7,1,2,6,2,3,9,9,3,3,3,3,9,9,9,9,9,9,3,9,9,3,9,3,3,3,9,9,3,3,9,3,3,
9,3,6,6,18,18,6,6,6,6,6,6,6,6,18,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,18,
6,18,6,6,6,6,6,6,6,18,18,6,6,6,6,18,6,6,18,18,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,
6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,18,18,6,18,18,6,
6,6,6,6,6,18,6,6,6,6,18,6,6,18,18,18,12,12,12,12,12,12,36,12,12,36,12,36,12,
12,12,12,12,12,12,12,12,12,12,12,36,12,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,
4,4,4,12,12,4,4,4,4,4,4,4,12,4,4,12,4,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,16,1,1,1,3,3,3,9,9,3,3,3,9,3,3,3,3,3,9,3,9,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,
6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,1,1,1,4,2,2,2,2,4,4,4,4,
4,4,4,4,4,4,4,4,4,4,8,8,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,2,2,2,2,4,
3,1,1,1,1,1,1,1,1],[1,1,30,56,56,72,72,64,1,15,15,6,6,28,28,60,18,18,36,36,36,
36,168,72,168,168,72,32,288,288,96,288,576,64,128,128,64,64,128,128,15,3,3,15,
20,6,6,6,45,12,60,4,12,4,28,18,18,18,18,18,42,42,18,18,18,56,24,56,8,36,36,36,
12,36,36,36,36,12,12,36,36,12,84,84,12,36,36,36,36,36,36,36,36,12,36,36,36,72,
24,72,72,72,72,72,72,72,72,72,72,24,24,72,72,72,72,72,72,24,72,72,72,24,24,72,
72,24,72,72,72,72,72,24,72,72,72,24,24,24,72,72,24,72,24,144,144,144,48,144,
144,336,144,144,336,144,144,48,144,48,48,48,144,64,64,48,64,64,64,32,64,64,64,
64,128,128,128,128,15,7,7,3,15,20,6,6,9,9,9,9,9,45,4,12,4,4,4,12,4,12,12,12,
60,4,4,18,18,18,18,18,18,18,18,18,18,42,18,18,18,42,18,18,42,18,18,18,18,42,
18,42,18,18,18,18,18,18,18,18,18,18,18,18,18,18,8,24,8,24,24,8,24,24,24,24,24,
36,36,36,12,36,84,12,36,36,36,36,36,12,12,36,12,12,36,12,12,12,36,12,36,36,12,
84,12,12,12,12,12,36,36,36,36,36,84,12,12,36,36,12,12,12,12,36,36,36,12,36,36,
36,12,36,36,12,84,12,36,36,36,12,36,36,36,36,12,36,36,12,36,36,12,36,36,12,36,
36,36,12,12,36,36,12,36,12,12,36,12,72,24,24,24,24,24,24,24,72,72,24,24,72,72,
72,72,72,24,24,72,24,24,24,72,24,24,24,24,72,72,24,24,24,24,24,24,24,72,24,24,
24,24,24,24,24,72,24,24,72,24,24,72,72,24,72,72,72,24,72,24,24,24,24,24,72,24,
24,24,24,24,24,24,24,24,72,72,24,24,24,24,24,72,24,24,24,24,24,24,72,24,24,72,
24,72,72,24,24,24,24,24,24,72,24,24,24,72,24,24,24,24,72,24,24,72,24,24,72,24,
24,24,24,24,72,24,24,144,48,48,144,144,144,48,48,144,144,144,144,48,144,144,
48,144,144,144,48,48,144,48,144,144,144,48,144,144,48,144,48,32,16,16,48,16,
16,64,32,96,32,32,96,64,64,64,64,64,64,64,64,6,10,15,7,6,6,6,6,6,9,9,9,3,9,3,
3,9,9,3,9,21,9,12,4,12,12,12,4,12,4,4,12,18,18,18,18,18,18,42,18,18,6,6,6,18,
18,18,6,18,18,18,6,18,18,18,18,6,18,18,18,18,18,18,6,6,18,18,6,18,42,6,18,18,
18,6,18,42,18,18,18,6,6,18,18,6,6,18,18,18,18,18,18,6,6,6,18,18,18,18,18,18,
18,18,18,18,42,18,18,18,18,18,18,18,18,18,24,24,8,8,8,24,24,24,12,36,12,12,12,
12,36,36,12,12,36,36,36,12,36,12,12,12,36,36,36,36,12,12,36,12,12,12,36,36,36,
36,36,12,12,12,36,36,36,36,36,12,12,36,36,36,12,36,36,84,36,12,36,12,36,36,12,
36,12,36,36,12,12,36,84,12,12,12,12,12,12,12,36,12,36,36,36,36,36,36,12,36,36,
12,12,36,12,36,12,12,12,12,12,36,12,12,36,12,36,36,36,36,36,36,36,36,36,36,12,
36,36,12,36,36,12,12,36,12,36,12,36,36,12,36,36,12,12,36,36,12,12,36,12,12,12,
36,12,12,12,12,12,12,12,12,12,12,36,12,36,12,36,36,12,36,12,36,12,36,12,12,12,
36,36,36,36,36,12,12,36,36,12,36,36,12,36,36,36,36,36,36,36,36,12,12,12,36,12,
12,12,12,12,12,36,12,36,12,36,12,36,36,12,36,36,12,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,72,24,24,
72,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,72,24,24,72,24,24,24,24,24,
24,144,48,144,48,4,32,16,16,16,16,16,16,16,16,48,16,48,16,16,48,16,16,16,16,
16,16,16,32,32,32,32,32,32,32,32,32,64,1,3,3,1,1,3,6,6,2,3,9,3,3,3,9,3,9,9,3,
9,3,3,9,3,3,3,21,3,3,21,9,3,9,9,28,4,4,4,12,12,4,12,12,28,18,18,18,6,6,6,18,
18,18,6,6,18,6,6,18,6,6,6,18,6,6,18,18,18,6,18,6,6,6,18,18,6,18,6,6,18,6,6,18,
6,6,18,18,18,6,18,18,18,18,18,6,18,6,6,6,18,6,18,18,18,18,18,18,6,6,18,18,18,
18,18,18,18,6,6,6,6,6,6,6,6,6,6,6,6,18,6,18,6,18,6,6,6,6,6,6,18,18,6,6,6,6,6,
18,6,6,6,6,6,18,6,6,6,18,6,6,6,18,6,6,6,6,18,6,6,6,18,18,6,12,12,12,12,12,12,
12,12,12,12,36,12,36,12,12,12,12,12,12,36,12,36,12,12,12,36,36,12,36,12,36,12,
12,12,36,12,12,36,12,12,12,36,36,12,12,12,12,12,12,12,12,36,12,36,12,12,12,12,
12,12,12,12,12,36,12,12,36,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,36,12,12,12,36,12,12,36,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,36,12,12,12,36,36,12,12,36,12,12,12,12,12,12,36,12,12,36,
36,36,36,12,36,36,36,12,12,12,12,36,36,12,12,12,36,36,36,36,36,12,12,36,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,4,4,4,4,4,8,8,8,8,16,16,16,16,
16,16,16,16,16,16,16,48,16,16,16,16,16,16,16,16,16,32,32,1,1,7,3,3,6,2,6,3,9,
9,3,3,3,3,9,3,3,3,3,3,3,9,3,3,3,3,3,9,3,3,9,3,3,9,3,9,3,6,6,18,18,18,18,6,18,
18,18,6,18,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,18,18,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,18,6,6,6,6,18,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,36,12,12,12,12,12,12,12,12,12,12,12,12,12,36,12,12,12,12,12,12,12,12,12,12,
12,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,8,8,8,8,16,16,16,3,3,3,1,3,3,3,
3,3,3,9,9,3,9,3,3,3,3,3,3,3,9,3,3,3,3,3,3,3,3,3,3,3,3,3,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,8,1,3,
3,3,3,3,3,3,3,3,3,3,3,3,3,1,4,4,4,3,1,1,1,1],[1,1,10,120,40,5,10,20,30,30,60,
60,240,96,40,80,160,160,10,10,10,15,10,10,30,30,30,30,30,40,60,60,60,60,60,
120,60,120,60,60,120,120,120,96,40,80,80,40,40,80,80,320,5,10,10,15,15,30,10,
10,30,30,30,30,20,60,60,60,60,30,30,30,60,30,30,60,60,60,60,60,60,60,60,120,
60,60,60,60,120,120,120,96,10,40,40,80,40,40,40,40,40,40,40,80,80,80,1,15,15,
15,10,10,30,30,15,15,30,15,30,30,30,30,30,30,30,30,30,30,60,30,30,30,60,60,60,
60,60,60,60,96,10,10,20,10,20,40,20,40,40,20,40,40,40,40,40,40,40,40,80,5,15,
15,10,15,15,15,30,30,15,30,30,30,30,30,30,30,10,10,10,10,10,10,10,20,20,20,40,
20,40,40,16,5,15,15,15,15,15,15,6,5,10,10,10,10,10,10,10,16,15,6,5,5,5,10,6,5,
1,1],[1,1,30,120,160,1,15,15,60,30,30,60,60,60,120,160,96,160,160,160,15,15,
20,45,60,20,20,30,30,30,30,40,60,60,60,60,60,60,60,60,120,120,120,120,120,96,
192,120,160,160,160,160,15,15,20,15,15,15,15,45,20,20,20,60,30,30,30,30,40,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,120,96,96,96,80,40,
40,120,80,80,160,160,6,10,15,15,15,15,15,15,15,20,20,30,30,30,30,30,30,30,60,
60,60,60,60,60,60,60,60,60,60,60,120,96,20,80,40,80,40,80,120,160,80,80,32,1,
5,5,10,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,10,20,20,40,80,16,16,32,
15,15,15,30,6,10,20,20,10,10,40,16,16,32,5,6,6,6,10,6,5,1],[1,1,30,120,40,1,
15,15,60,30,30,60,60,60,120,96,40,240,160,15,15,20,10,45,60,30,30,30,30,30,40,
60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,96,192,40,120,120,80,80,
15,15,20,10,10,15,15,15,15,45,60,30,30,30,30,30,30,30,30,30,30,40,40,60,60,60,
60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,96,96,96,10,40,40,40,120,40,
120,40,40,40,80,80,6,10,15,10,10,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,
30,30,30,30,60,60,60,60,60,60,60,60,60,60,60,60,120,96,10,30,30,40,40,40,20,
20,40,40,40,40,40,40,40,40,1,5,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,
10,30,10,30,10,10,10,40,40,20,20,40,16,5,10,15,15,30,6,5,10,10,10,10,10,10,10,
16,5,6,6,6,5,10,10,6,5,1,1],[1,1,10,120,40,5,10,20,30,30,60,60,240,96,40,160,
80,160,10,10,10,15,30,10,10,30,30,30,30,40,60,60,60,60,60,120,120,60,60,60,
120,120,120,96,40,80,40,80,40,80,80,320,5,10,10,15,15,30,10,10,30,30,30,30,20,
30,60,30,60,60,30,60,30,30,60,60,60,60,60,60,120,60,60,60,120,60,60,60,60,120,
120,96,10,40,40,80,40,40,40,40,40,40,40,80,80,80,1,15,15,15,10,10,30,15,30,30,
15,15,30,30,30,60,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,96,10,10,
10,20,20,20,40,40,20,40,40,40,40,40,40,40,40,40,80,5,15,15,10,15,30,15,15,30,
15,30,30,30,30,30,30,30,10,10,10,20,10,10,10,10,20,40,20,20,40,40,16,5,15,15,
15,15,15,15,6,5,10,10,10,10,10,10,10,16,15,6,5,5,5,10,6,5,1,1],[1,1,30,48,48,
144,72,8,32,1,15,15,12,12,24,24,60,18,18,72,36,36,36,144,144,144,144,72,288,
576,576,8,32,48,48,48,64,64,96,96,96,192,192,15,6,6,15,20,12,12,45,24,60,24,
24,18,36,36,18,36,36,18,36,18,48,48,36,36,72,72,72,36,36,36,36,36,72,72,36,36,
72,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,72,144,72,144,
72,72,72,72,144,72,72,144,144,144,288,144,144,288,144,144,144,144,16,8,8,8,24,
24,24,24,24,32,32,32,48,48,48,48,96,96,96,96,192,192,192,192,192,15,6,6,6,15,
20,9,9,9,18,9,45,24,24,24,24,24,60,18,18,18,18,36,36,18,36,36,36,36,18,36,36,
18,36,18,36,18,18,36,18,36,36,18,48,48,36,36,36,72,36,36,36,72,36,36,36,72,36,
36,36,72,36,36,72,36,36,72,36,72,36,36,72,72,36,72,36,36,36,36,72,36,36,36,36,
72,36,36,36,36,36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,144,72,72,72,
72,72,72,72,72,144,72,72,72,72,144,144,144,144,144,144,144,144,144,144,144,
144,16,16,16,64,64,2,8,8,16,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,32,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,96,96,96,96,
96,96,6,10,15,6,12,9,9,18,9,9,9,9,18,9,9,9,18,9,24,24,24,24,24,18,36,36,18,18,
18,18,36,18,18,18,18,18,18,18,18,18,18,36,36,18,36,18,18,18,18,36,18,18,18,18,
18,18,36,18,36,36,48,36,36,36,36,72,36,36,36,36,36,36,36,36,36,36,36,36,36,72,
36,36,36,36,72,36,36,72,72,36,72,36,36,36,36,36,36,36,36,36,36,36,36,36,36,36,
36,72,36,36,36,36,36,36,36,36,72,36,36,36,72,36,36,36,36,36,36,36,36,36,36,36,
36,36,36,36,36,36,36,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,72,
72,72,72,72,72,72,72,72,72,72,72,72,144,144,16,16,16,32,32,32,32,64,64,2,2,2,
6,6,6,6,8,8,8,12,12,12,12,16,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,48,48,
48,48,48,48,48,48,48,96,1,6,6,9,9,9,9,9,9,9,9,9,9,9,9,18,9,18,9,24,24,24,24,
24,24,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,18,36,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,36,36,36,36,36,36,36,36,36,36,
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,
36,36,36,36,36,36,72,72,8,16,16,16,16,16,16,16,32,32,32,32,2,2,2,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,8,12,12,12,12,12,12,12,12,12,12,12,12,12,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,48,6,6,9,9,9,9,9,9,9,9,9,9,9,
18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,
36,36,36,36,8,8,8,8,8,8,8,16,16,16,16,16,16,16,2,2,2,2,2,2,6,6,6,6,6,6,6,6,6,
6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,12,12,12,12,24,24,9,9,9,
9,9,9,9,18,18,18,18,1,8,8,8,8,8,8,8,16,2,2,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
6,6,6,9,1,1,1,2,2,2,2,8,6,6,1,1,1,1,1,1,1,2,2,2,2,1,1,1,1,1,1,1,1],[1,1,30,
240,120,40,1,15,15,20,20,60,30,30,120,60,60,60,240,120,480,960,96,40,240,240,
240,160,15,10,10,15,20,20,10,20,45,40,60,40,30,60,30,60,30,30,60,30,40,60,60,
60,120,120,120,60,60,60,60,60,60,60,120,60,60,120,120,120,120,120,120,120,120,
240,120,240,120,120,120,240,120,120,240,120,240,240,240,240,240,96,192,40,40,
40,120,120,120,120,80,80,80,80,960,15,10,15,20,10,10,15,15,15,30,15,45,40,40,
40,40,40,60,30,30,30,30,30,30,60,60,30,60,60,60,30,30,60,60,30,60,80,40,40,80,
60,60,60,60,120,60,60,60,60,60,120,60,60,60,60,120,120,60,60,120,60,120,60,60,
60,60,120,60,120,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,240,120,120,120,120,120,120,120,240,120,120,120,120,240,240,
240,240,96,96,96,10,40,40,40,40,120,120,120,40,120,120,120,40,40,120,120,120,
40,40,40,40,40,80,80,80,80,80,240,80,80,80,80,80,80,80,6,10,15,20,10,10,15,15,
30,15,15,15,15,30,15,15,15,15,40,40,40,40,40,30,60,30,30,60,30,30,30,30,60,30,
30,30,30,30,30,30,30,30,30,60,30,30,30,30,30,30,30,60,60,30,80,60,60,60,60,
120,60,60,60,60,60,60,60,60,60,60,60,60,120,60,120,120,60,60,60,60,60,60,60,
60,60,60,60,60,120,60,60,60,60,60,60,60,60,120,60,60,60,60,120,60,60,60,60,60,
60,60,60,60,60,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,96,96,96,10,
10,10,30,30,30,30,40,40,40,20,40,40,40,20,20,40,40,40,40,20,40,40,40,40,120,
40,40,40,40,40,40,120,40,120,40,120,40,40,40,40,40,40,40,40,40,40,40,40,40,40,
40,40,40,80,80,80,80,160,1,5,10,10,15,15,15,15,15,15,15,15,15,15,15,15,15,40,
40,40,40,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,30,60,60,30,30,30,30,30,30,30,30,30,30,30,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
120,120,96,10,10,30,30,10,30,10,10,30,30,10,30,30,10,30,10,10,10,30,40,40,40,
40,40,40,40,20,20,60,20,40,20,20,20,20,40,20,20,20,20,20,40,40,40,80,40,40,40,
40,40,40,40,40,40,40,40,16,10,5,10,15,15,15,15,15,15,15,15,15,15,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,60,6,5,10,
10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,30,30,10,10,10,10,
10,10,10,30,10,10,30,10,20,40,20,40,20,20,40,16,16,16,5,15,15,15,15,15,15,30,
30,30,30,6,6,6,5,5,5,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,16,15,
6,6,6,5,5,5,10,10,10,6,5,1,1,1,1,1],[1,1,30,80,80,120,160,1,15,15,40,40,60,30,
30,60,60,60,240,240,240,120,160,960,96,160,320,320,160,160,320,320,15,15,20,
45,60,20,20,40,30,30,60,60,30,30,80,80,40,60,60,60,120,120,60,60,60,60,60,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,240,
240,480,240,240,480,240,240,96,192,120,160,160,160,160,160,160,160,160,320,
320,320,320,15,10,10,15,20,15,15,15,15,45,20,20,20,60,30,30,30,30,60,30,60,60,
30,60,60,30,30,30,30,30,30,40,60,60,60,120,60,60,60,60,60,60,120,60,60,60,120,
60,60,60,60,60,60,120,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
240,240,240,240,96,96,96,80,40,40,120,80,80,160,160,240,80,80,240,160,160,160,
160,160,160,6,10,15,10,15,15,15,15,15,30,15,20,20,30,60,30,30,30,30,30,30,30,
30,30,60,30,60,30,30,30,30,30,30,30,30,30,60,30,60,60,60,60,60,60,60,60,60,60,
60,60,120,60,60,120,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,120,120,
96,96,96,20,80,40,40,80,40,80,120,120,80,80,120,80,40,80,80,80,160,80,80,80,
80,160,32,1,5,5,10,15,15,15,15,15,30,15,30,15,15,40,40,30,30,30,30,30,30,30,
30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,30,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,96,10,20,20,40,40,80,40,40,80,40,120,40,
40,40,80,16,16,32,10,15,15,15,15,15,15,15,30,30,30,30,30,30,30,30,30,30,30,30,
30,30,60,60,6,10,10,10,10,20,20,20,20,20,10,20,10,10,40,40,16,16,16,16,16,16,
32,5,15,15,15,15,15,15,6,6,6,10,10,10,10,10,10,20,10,20,16,16,15,6,6,6,5,10,6,
5,1,1],[1,1,30,360,80,320,1,15,15,60,90,90,180,180,180,360,480,576,80,320,480,
960,960,960,15,15,20,30,45,60,60,60,90,90,90,90,90,120,120,180,180,180,180,
180,180,180,180,180,180,360,360,360,360,360,360,360,360,360,360,360,360,160,
576,1152,80,240,240,240,320,480,480,480,960,960,15,15,20,30,30,45,45,45,45,45,
60,60,60,60,90,90,90,90,90,90,90,90,90,90,120,120,120,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,160,160,160,
576,576,576,20,80,120,120,160,240,240,240,240,240,240,240,240,240,240,240,480,
480,480,960,6,10,15,30,30,45,45,45,45,45,45,60,60,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,360,360,360,360,360,160,160,160,576,20,60,60,60,80,120,120,120,120,
120,120,120,120,120,120,160,240,240,240,240,240,240,240,240,240,240,240,240,
240,240,240,480,480,480,192,1,15,15,15,30,45,45,45,45,45,45,45,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
180,180,180,180,180,180,180,180,80,160,160,160,20,20,60,60,60,60,60,60,60,60,
60,60,120,120,120,120,120,120,120,120,120,120,240,240,240,240,480,96,96,96,
192,15,30,45,45,45,45,45,45,90,90,90,90,90,90,90,90,90,90,90,90,180,80,80,80,
160,36,15,20,20,60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,96,96,
96,192,15,15,45,45,45,45,45,10,80,36,36,36,15,30,30,60,60,60,60,45,10,10,10,
36,16,16,15,15,15,15,10,10,10,16,16,15,15,6,10,6,6,1],[1,1,30,120,120,360,360,
80,320,1,15,15,30,30,60,60,60,90,90,180,180,180,180,360,360,360,360,360,480,
1440,1440,1440,1440,2880,576,80,320,480,480,480,640,640,960,960,960,1920,1920,
15,15,15,15,20,30,30,30,45,60,60,60,60,60,60,90,90,90,90,90,90,90,90,90,90,
120,120,120,120,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,
720,960,960,160,576,1152,80,80,80,240,240,240,240,240,320,320,320,480,480,480,
480,480,960,960,960,960,1920,1920,1920,1920,1920,15,15,15,15,15,20,30,30,45,
45,45,45,45,45,60,60,60,60,60,60,60,60,60,60,60,60,60,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,120,120,120,120,120,120,120,120,120,120,120,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,
720,720,720,720,720,720,720,720,720,720,720,720,720,720,720,160,160,160,640,
640,576,576,576,20,80,80,120,120,160,240,240,240,240,240,240,240,240,240,240,
240,240,240,240,240,240,240,240,240,240,240,240,320,480,480,480,480,480,480,
480,480,480,480,480,480,480,480,480,480,480,480,960,960,960,960,960,960,960,
960,6,10,15,15,30,30,30,30,30,45,45,45,45,45,45,45,45,45,45,45,45,45,60,60,60,
60,60,60,60,60,60,60,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,120,120,120,120,120,120,120,120,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,360,720,720,720,720,160,160,160,
320,320,320,320,640,640,576,576,576,20,20,20,60,60,60,60,60,80,80,80,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,160,
240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,
240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,
240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,480,480,480,480,
480,480,480,480,480,480,480,480,480,480,960,192,1,15,15,15,15,15,30,30,30,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,60,60,
60,60,60,60,60,60,60,60,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,360,360,360,360,360,360,360,
360,360,360,360,360,360,360,360,360,360,360,80,160,160,160,160,160,160,160,
320,320,320,320,576,20,20,20,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,80,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,
240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,
240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,240,480,
480,96,96,96,192,15,15,15,15,15,30,30,30,45,45,45,45,45,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,
90,90,90,90,90,90,90,90,180,180,180,180,180,180,180,180,180,180,180,180,180,
180,180,180,180,180,180,180,180,180,180,180,180,180,80,80,80,80,80,80,80,160,
160,160,160,160,160,160,36,15,20,20,20,20,20,20,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,120,120,120,120,120,120,120,120,120,
120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,120,240,
240,240,240,96,96,96,96,96,96,96,96,96,192,15,15,15,15,45,45,45,45,45,45,45,
45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,90,90,
90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,90,10,80,
80,80,80,80,80,80,160,36,36,36,15,15,15,20,20,30,30,30,30,60,60,60,60,60,60,
60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,60,
60,60,120,120,120,96,96,96,15,15,45,45,45,45,45,45,45,45,45,45,45,45,45,10,10,
10,20,20,20,20,80,36,36,36,16,16,15,15,15,15,15,15,15,15,30,30,30,30,60,60,60,
60,45,10,10,10,10,10,10,10,20,20,20,20,36,16,16,16,16,16,16,15,15,15,15,15,15,
15,15,15,15,6,10,10,10,10,10,10,10,16,16,15,15,6,6,6,6,10,6,6,1,1]],
[1,2,2,2,2,2,2,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,6,6,6,
6,6,6,6,6,6,6,6,6,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,
8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,10,10,12,12,12,12,12,12,12,12,12,12,12,12,12,
12,12,12,12,12,12,12,12,12,12,12,12,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,
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,
18,18,18,20,20,20,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,
24,24,24,24,24,24,24,24,24,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,32,
32,32,32,32,32,32,32,32,32,32,32,32,36,36,36,36,36,36,36,36,36,40,40,40,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,
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,
48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,60,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,64,
64,64,64,64,64,64,64,72,72,72,72,72,72,72,72,72,72,72,72,80,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
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,
96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,
96,96,96,96,96,96,96,120,120,120,120,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,128,
128,128,128,144,144,144,144,144,144,144,144,144,144,144,144,144,144,160,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,192,
192,192,192,192,192,192,192,192,192,192,192,240,240,240,240,240,240,240,240,
240,240,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,256,
256,256,256,256,256,256,288,288,288,288,288,288,288,288,288,320,320,320,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,384,
384,384,384,384,384,384,384,480,480,480,512,512,512,512,512,512,512,512,512,
512,512,512,512,512,512,576,576,576,576,576,576,576,576,640,640,640,720,720,
768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,768,1024,1152,
1152,1152,1152,1152,1152,1152,1152,1152,1152,1152,1280,1440,1440,1440,1440,
1440,1440,1536,1536,1536,1536,1536,1536,1536,1536,1536,1536,1920,2304,2304,
2304,2304,2304,2304,2304,2880,2880,3072,3072,3840,3840,3840,3840,4608,7680,
7680,23040,46080],
[2140,2140,2111,2010,2023,1795,1801,2069,1822,2140,2130,2130,2113,2113,2087,
2087,2090,2056,2056,1931,1962,1981,1962,1800,1800,1800,1800,1670,1623,983,949,
973,734,286,1506,2069,1822,1608,1602,1604,1503,1503,1142,1129,1142,582,584,
2130,2130,2130,2131,2124,2113,2111,2113,2091,2088,2088,2087,2088,2087,2087,
2056,2047,2056,2054,2056,2054,2054,2054,2055,2054,2015,2042,2016,2026,1966,
1931,1962,1962,1931,1931,1931,1981,1962,1962,1962,1981,1962,1962,1926,1962,
1962,1962,1962,1962,1962,1962,1931,1931,1962,1962,1962,1981,1796,1628,1800,
1800,1800,1791,1811,1800,1800,1800,1800,1800,1628,1796,1628,1791,1796,1800,
1670,1800,1760,1800,1811,1670,1628,1628,1628,1628,1628,1628,1811,1628,1717,
1670,1796,1670,1796,1718,1796,1796,1628,1717,1791,1760,1800,1628,1196,1284,
1196,1378,1284,1284,1196,1284,1151,1284,1284,1196,1345,1196,1442,1345,1380,
1196,1133,1130,1994,1506,1040,2069,2069,2069,1914,1914,1914,1914,1913,1822,
1822,1822,1612,1623,1612,1612,1612,1142,1142,1142,1142,584,582,582,569,584,
2130,2131,2131,2130,2131,2124,2111,2113,2091,2091,2091,2091,2091,2091,2087,
2088,2087,2087,2090,2088,2087,2088,2088,2088,2088,2087,2087,2054,2054,2054,
2056,2056,2056,2054,2054,2054,2054,2048,2054,2047,2056,2054,2054,2054,2054,
2047,2056,2054,2056,2056,2054,2054,2056,2047,2054,2054,2056,2054,2054,2047,
2056,2056,2054,2054,2054,2054,2026,2042,2026,2042,2032,2026,2042,2042,2042,
2032,2042,1926,1926,1926,1962,1926,1926,1962,1926,1926,1926,1926,1981,1962,
1962,1962,1962,1962,1931,1962,1962,1981,1962,1931,1926,1926,1962,1926,1962,
1962,1981,1931,1931,1926,1981,1944,1926,1926,1926,1962,1962,1926,1926,1962,
1962,1962,1962,1944,1926,1944,1931,1926,1926,1944,1962,1944,1965,1962,1926,
1962,1931,1962,1944,1962,1926,1944,1926,1926,1962,1926,1962,1962,1926,1965,
1962,1926,1931,1931,1926,1931,1926,1931,1931,1926,1926,1962,1926,1981,1962,
1926,1931,1791,1796,1802,1628,1796,1717,1796,1717,1811,1800,1796,1796,1628,
1796,1800,1796,1796,1676,1789,1800,1796,1628,1796,1796,1628,1796,1717,1796,
1791,1628,1796,1796,1811,1796,1796,1796,1717,1717,1796,1796,1628,1791,1796,
1796,1717,1791,1796,1796,1717,1796,1796,1800,1811,1796,1796,1670,1811,1796,
1717,1796,1676,1796,1796,1760,1628,1717,1796,1628,1796,1796,1628,1628,1628,
1796,1628,1628,1628,1628,1717,1628,1796,1791,1796,1628,1628,1717,1791,1628,
1628,1811,1796,1717,1796,1811,1717,1760,1796,1628,1628,1628,1717,1628,1717,
1717,1717,1717,1796,1796,1628,1796,1628,1796,1628,1628,1796,1796,1628,1628,
1628,1796,1628,1796,1796,1760,1628,1284,1345,1380,1196,1196,1284,1378,1345,
1196,1284,1196,1196,1378,1196,1284,1380,1196,1284,1196,1378,1345,1284,1380,
1284,1284,1196,1345,1284,1196,1378,1284,1380,1994,1994,1994,1503,1503,1506,
1506,1506,2124,2069,2069,2042,2041,1990,1913,1914,1913,1914,1914,1914,1914,
1913,1914,1914,1912,1914,1911,1914,1914,1914,1914,1914,1914,1914,1914,1914,
1822,1623,1612,1594,1594,1614,1612,1612,1612,1612,1531,1612,1612,1612,1612,
1612,1612,1614,1612,1142,1142,1142,1130,1142,1133,1142,1142,2137,2136,2130,
2131,2113,2113,2111,2113,2113,2091,2091,2091,2091,2091,2091,2091,2091,2091,
2091,2091,2091,2091,2088,2087,2076,2088,2088,2090,2088,2087,2087,2088,2056,
2056,2056,2047,2056,2054,2054,2054,2050,2047,2054,2054,2054,2054,2054,2054,
2054,2054,2047,2050,2054,2056,2054,2056,2047,2056,2054,2054,2054,2054,2056,
2054,2047,2054,2056,2047,2054,2048,2050,2054,2056,2054,2054,2054,2054,2054,
2054,2054,2047,2055,2054,2051,2051,2054,2054,2047,2054,2056,2054,2054,2055,
2047,2051,2054,2054,2047,2056,2056,2054,2054,2054,2054,2054,2048,2054,2054,
2056,2054,2047,2047,2054,2054,2056,2042,2032,2026,2015,2016,2042,2042,2042,
1944,1926,1983,1962,1962,1944,1944,1944,1962,1944,1926,1926,1926,1983,1926,
1962,1962,1962,1926,1926,1926,1926,1944,1944,1926,1981,1962,1944,1926,1926,
1926,1931,1926,1962,1962,1962,1926,1926,1926,1926,1926,1931,1962,1926,1926,
1926,1962,1931,1926,1926,1926,1962,1944,1983,1926,1926,1981,1926,1931,1926,
1926,1931,1962,1926,1938,1931,1931,1962,1962,1962,1962,1981,1944,1962,1926,
1926,1926,1931,1926,1944,1962,1926,1926,1962,1962,1926,1962,1944,1962,1983,
1962,1931,1962,1926,1962,1962,1926,1962,1926,1926,1931,1926,1926,1926,1944,
1926,1926,1926,1931,1926,1926,1962,1926,1926,1931,1965,1926,1962,1931,1962,
1944,1926,1944,1926,1926,1962,1944,1926,1926,1962,1981,1926,1962,1962,1962,
1926,1962,1981,1962,1962,1962,1962,1981,1962,1931,1965,1926,1962,1931,1934,
1944,1926,1962,1926,1962,1926,1962,1944,1962,1962,1962,1926,1926,1926,1931,
1926,1962,1981,1926,1944,1931,1931,1931,1930,1926,1926,1926,1926,1926,1926,
1926,1926,1962,1962,1962,1926,1931,1962,1944,1944,1962,1962,1926,1962,1926,
1962,1926,1962,1926,1931,1962,1926,1926,1931,1796,1717,1717,1628,1811,1628,
1796,1791,1796,1796,1796,1717,1628,1796,1717,1791,1717,1791,1811,1628,1628,
1628,1796,1796,1796,1717,1796,1717,1796,1796,1717,1717,1717,1811,1796,1717,
1628,1796,1628,1760,1760,1760,1628,1796,1796,1796,1796,1796,1811,1811,1796,
1796,1796,1676,1796,1796,1717,1796,1796,1811,1628,1796,1796,1760,1628,1796,
1811,1717,1796,1796,1628,1717,1796,1796,1676,1676,1796,1796,1796,1796,1717,
1717,1717,1811,1811,1791,1811,1653,1796,1796,1796,1796,1796,1796,1811,1791,
1796,1796,1717,1791,1796,1676,1717,1796,1791,1796,1791,1791,1791,1796,1796,
1796,1791,1796,1196,1378,1284,1380,1994,1994,1994,1822,1821,1821,1822,1503,
1503,1506,1506,1506,2124,2124,2124,2088,2088,2088,2090,2088,2069,2069,2069,
2032,2042,2042,2042,2042,2041,2032,2042,2042,2032,2042,2042,2042,2042,2042,
2032,2042,2042,2042,2042,1990,1911,1913,1914,1913,1912,1912,1913,1911,1914,
1914,1912,1914,1913,1911,1913,1911,1912,1914,1913,1914,1911,1914,1913,1912,
1914,1914,1914,1914,1911,1912,1914,1912,1911,1914,1914,1914,1914,1914,1914,
1914,1914,1914,1914,1914,1914,1914,1914,1914,1914,1914,1914,1914,1914,1614,
1612,1623,1614,1612,1623,1612,1623,1622,1594,1612,1598,1594,1622,1142,1924,
2140,2130,2130,2131,2131,2130,2111,2113,2116,2091,2091,2091,2091,2091,2091,
2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,
2091,2091,2091,2091,2089,2087,2087,2090,2088,2088,2090,2088,2088,2089,2050,
2047,2054,2054,2054,2050,2050,2056,2056,2056,2053,2054,2051,2054,2054,2054,
2051,2054,2054,2054,2054,2054,2047,2054,2054,2051,2054,2054,2054,2054,2048,
2047,2056,2047,2054,2056,2054,2054,2054,2054,2047,2054,2056,2056,2055,2056,
2054,2050,2054,2057,2054,2054,2054,2054,2054,2047,2056,2054,2047,2047,2056,
2056,2056,2054,2054,2051,2054,2047,2058,2054,2047,2047,2054,2054,2054,2054,
2054,2054,2054,2054,2054,2054,2054,2054,2054,2047,2054,2054,2051,2054,2054,
2054,2054,2054,2050,2054,2056,2054,2054,2054,2054,2054,2054,2054,2054,2054,
2054,2054,2054,2055,2054,2054,2047,2050,2060,2051,2054,2047,2047,2047,2047,
2047,2054,2047,2054,2054,2054,2054,1944,1931,1962,1962,1962,1931,1983,1944,
1944,1962,1926,1962,1926,1944,1962,1944,1944,1983,1944,1926,1962,1926,1962,
1944,1931,1926,1931,1962,1926,1981,1926,1981,1962,1944,1938,1962,1962,1931,
1962,1962,1962,1926,1926,1962,1962,1983,1934,1931,1962,1962,1931,1926,1944,
1931,1981,1962,1931,1931,1962,1981,1962,1962,1981,1926,1981,1983,1926,1962,
1983,1962,1934,1962,1931,1962,1962,1944,1962,1944,1962,1962,1930,1930,1983,
1981,1983,1962,1962,1926,1931,1962,1962,1926,1962,1944,1926,1931,1962,1962,
1931,1962,1962,1981,1962,1962,1962,1962,1962,1934,1962,1931,1962,1962,1983,
1930,1983,1944,1944,1926,1944,1944,1944,1926,1926,1962,1962,1926,1981,1962,
1962,1931,1944,1981,1938,1962,1931,1926,1926,1926,1926,1930,1926,1926,1926,
1931,1931,1934,1962,1926,1926,1983,1944,1983,1926,1926,1926,1926,1926,1983,
1931,1926,1811,1796,1811,1791,1796,1796,1796,1796,1791,1796,1811,1791,1796,
1791,1811,1717,1796,1717,2069,1994,1994,1994,1994,1994,1994,1994,1822,1822,
1821,1821,1506,2124,2121,2124,2087,2088,2088,2088,2090,2088,2088,2088,2088,
2088,2088,2088,2088,2088,2088,2088,2088,2090,2090,2088,2088,2069,2042,2041,
2015,2042,2042,2042,2042,2042,2042,2042,2042,2042,2042,2042,2042,2042,2042,
2042,2042,2042,2042,2042,2042,2042,2016,2042,2042,2032,2032,2016,2042,2002,
2042,2042,2042,2042,2032,2042,2042,2042,2032,2015,2032,2032,2042,2032,2042,
2042,2032,2032,2032,2032,2032,1912,1911,1912,1914,1912,1912,1895,1914,1912,
1913,1913,1911,1914,1887,1913,1911,1913,1914,1914,1914,1912,1913,1914,1914,
1911,1914,1911,1914,1911,1913,1913,1911,1914,1914,1912,1914,1914,1622,1623,
2044,2045,2046,1924,2131,2131,2131,2130,2130,2113,2116,2119,2091,2091,2091,
2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,
2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2054,2054,2047,
2047,2056,2054,2054,2054,2054,2054,2056,2050,2047,2054,2047,2054,2054,2054,
2054,2054,2054,2054,2054,2050,2054,2050,2054,2054,2054,2054,2050,2047,2047,
2051,2047,2054,2054,2054,2054,2056,2054,2054,2054,2054,2054,2054,2056,2054,
2047,2054,2050,2047,2047,2054,2054,2056,2056,2054,2054,2054,2054,2054,2054,
2054,2056,2050,2047,2054,2054,2054,2054,2048,2051,2047,2054,2051,2054,2051,
2054,2054,2054,2054,2054,2054,2056,2054,2051,2054,2050,2050,2054,2054,2056,
2047,2056,2050,2051,2051,2051,2051,2051,2047,2047,2054,2056,2056,2051,2054,
2054,2050,2054,2050,2054,2054,2047,2051,2054,2054,2047,2054,1938,1983,1983,
1981,1962,1981,1931,1962,1962,1931,1962,1944,1930,1962,1926,1962,1981,1962,
1983,1934,1948,1962,1983,1955,1944,1981,2069,2069,2069,2069,2069,2069,2069,
1994,1994,1994,1994,1994,1994,1994,2103,2130,2124,2121,2121,2121,2124,2124,
2088,2090,2089,2087,2088,2088,2090,2088,2088,2088,2088,2088,2087,2090,2088,
2088,2088,2087,2087,2090,2090,2088,2087,2088,2087,2087,2088,2088,2089,2088,
2088,2088,2088,2088,2088,2088,2090,2088,2088,2088,2088,2088,2089,2089,2088,
2088,2090,2088,2088,2088,2042,2016,2032,2041,2042,2042,2042,2015,2042,2032,
2041,2041,2042,2042,2042,2032,2042,2042,2042,2042,2042,2032,2015,2016,2042,
2042,2043,1911,1912,1913,1914,2046,2046,2046,2045,2045,2044,2044,2044,2045,
1924,2130,2130,2130,2131,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,
2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,
2091,2091,2091,2091,2091,2091,2050,2050,2054,2054,2050,2047,2056,2054,2054,
2054,2054,2051,2054,2056,2054,2047,2051,2054,2051,2054,2054,2056,2054,2056,
2050,2051,2136,2069,2069,2069,2069,2069,2069,2069,1994,2103,2103,2103,2130,
2130,2130,2121,2124,2113,2119,2113,2119,2090,2090,2088,2087,2087,2087,2089,
2089,2090,2090,2089,2090,2089,2089,2087,2089,2087,2088,2090,2087,2088,2088,
2088,2088,2088,2088,2090,2088,2088,2088,2088,2088,2087,2088,2041,2042,2043,
2044,2045,2046,2131,2130,2091,2091,2091,2091,2091,2091,2091,2091,2091,2091,
2091,2091,2091,2136,2136,2136,2121,2121,2124,2124,2069,2103,2103,2103,2129,
2128,2130,2130,2130,2130,2130,2131,2130,2130,2119,2113,2119,2113,2087,2088,
2089,2090,2091,2136,2136,2136,2136,2136,2136,2136,2121,2121,2124,2124,2103,
2128,2129,2128,2129,2128,2129,2130,2130,2130,2130,2131,2130,2131,2131,2130,
2130,2137,2136,2136,2136,2136,2136,2136,2136,2128,2129,2130,2131,2137,2138,
2137,2137,2136,2137,2138,2140,2140],
[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,
8,1,9,9,9,8,9,1,1,1,2,2,1,2,2,3,1,1,1,2,2,1,2,2,1,2,3,1,1,1,1,1,2,1,1,2,1,1,3,
2,2,2,1,1,2,1,2,2,1,1,2,2,1,2,2,1,1,2,1,1,2,2,2,2,1,3,2,1,1,1,3,3,3,1,3,1,1,3,
1,1,1,3,2,3,3,1,1,3,3,3,1,1,2,2,2,1,1,2,2,1,1,1,2,1,1,1,2,1,1,1,3,1,3,1,1,3,1,
3,3,3,1,3,3,1,1,3,3,3,3,3,1,1,1,1,35,8,1,8,1,8,8,1,17,9,9,1,1,29,8,8,1,9,1,1,
9,9,9,9,8,9,2,1,1,2,1,2,3,2,2,1,1,2,2,2,2,12,2,2,1,2,2,12,12,12,2,2,2,1,2,2,3,
1,3,1,1,1,2,2,2,2,3,2,2,2,1,2,3,1,3,2,2,2,3,2,1,2,1,1,1,2,3,1,1,1,2,2,1,2,1,2,
2,1,2,2,2,2,2,3,3,3,2,2,3,2,1,3,1,1,3,2,2,2,2,2,2,2,2,1,2,2,2,1,2,3,2,2,3,2,2,
3,3,12,3,3,3,2,2,3,3,2,2,2,2,12,3,1,2,2,1,12,2,12,1,2,3,2,2,2,2,2,2,2,3,3,2,1,
2,2,3,2,2,3,2,2,3,2,3,2,2,3,2,2,3,3,2,3,2,3,1,3,2,2,12,2,12,3,3,21,1,2,2,3,2,
2,3,3,3,2,2,21,2,2,21,12,21,3,2,2,21,3,21,21,21,12,12,21,21,2,3,21,21,12,3,21,
21,12,21,21,3,3,21,2,3,3,21,12,21,1,21,21,3,2,1,21,2,21,1,2,2,2,1,2,2,2,2,12,
2,21,3,21,2,2,12,3,2,2,3,1,2,21,3,12,1,21,1,2,2,1,2,2,2,12,2,21,21,1,2,2,1,2,
2,21,2,2,2,1,21,2,21,2,3,2,3,18,22,3,3,3,22,18,3,3,3,3,22,3,3,22,3,3,3,22,18,
3,22,3,3,3,18,3,3,22,3,22,171,171,1,9,9,35,35,1,52,2,36,74,54,52,181,36,181,
36,1,1,36,17,8,8,59,1,61,8,36,2,36,2,36,8,2,36,37,29,36,181,17,17,36,8,8,1,8,
2,8,8,8,36,36,181,36,37,37,9,29,9,29,9,2,2,2,2,2,2,2,3,2,2,11,2,2,2,1,11,2,2,
11,11,11,2,11,2,2,3,2,2,1,2,2,2,12,3,3,11,12,2,11,11,11,11,12,2,11,2,2,11,11,
2,2,12,11,2,3,11,11,12,11,2,11,2,11,3,11,12,1,11,2,2,11,1,11,3,11,11,11,11,2,
11,11,12,11,11,11,2,11,11,12,1,3,11,2,2,11,11,11,11,2,3,3,11,11,2,11,1,11,2,1,
2,2,2,12,2,11,3,2,2,2,17,17,2,2,2,2,11,3,2,21,12,12,12,2,12,11,11,11,2,11,2,2,
2,11,11,3,11,12,12,3,3,21,11,11,11,11,12,3,2,2,2,3,11,3,3,11,2,2,11,3,3,2,11,
11,11,3,2,12,1,11,11,3,11,2,11,3,12,2,11,11,12,12,21,21,21,21,3,12,21,2,3,11,
12,11,12,2,11,11,2,2,11,21,12,21,11,2,12,2,11,21,21,3,21,2,11,12,11,11,3,12,
11,11,11,2,11,11,21,11,11,2,12,11,2,2,11,12,11,12,3,3,21,11,11,11,21,18,3,21,
21,21,3,21,18,21,2,21,21,18,21,2,12,11,21,12,3,12,11,21,11,2,11,2,12,11,11,11,
3,11,2,2,11,2,18,11,12,12,12,11,3,11,11,11,11,3,3,11,11,21,11,11,3,2,21,12,2,
21,21,11,2,3,21,2,21,11,12,21,11,3,12,21,12,12,2,17,2,2,17,21,21,21,12,2,21,
12,17,12,17,22,2,2,2,21,21,21,12,21,12,21,21,12,12,12,17,21,2,2,21,2,22,22,22,
2,21,21,2,21,21,22,22,21,21,21,18,21,21,12,21,21,22,2,21,21,22,2,21,17,12,21,
21,2,12,21,21,19,19,21,21,21,21,12,12,12,3,3,22,18,10,21,21,21,21,21,21,18,18,
21,21,12,22,21,18,12,2,3,2,22,3,22,21,21,21,18,21,3,22,3,22,1,171,171,9,8,8,9,
171,171,35,35,35,531,531,52,52,531,531,217,52,36,2,36,52,534,74,74,74,54,531,
534,74,531,534,74,74,534,74,52,534,534,534,534,52,549,17,2,181,547,59,181,61,
180,8,547,36,181,549,181,549,547,8,17,180,549,180,17,547,12,12,2,36,61,59,12,
59,61,36,36,36,180,8,180,36,180,12,36,180,180,36,180,36,180,180,36,180,36,181,
36,29,181,36,29,36,29,536,181,36,535,181,536,37,1143,2,11,2,2,1,2,11,2,10,56,
11,11,56,56,11,56,11,11,56,11,56,2,11,11,11,2,11,56,56,11,11,11,2,2,51,2,2,17,
12,12,17,12,12,51,56,12,11,72,72,56,56,11,3,3,56,11,56,72,11,72,56,11,11,72,
56,11,11,11,2,56,56,72,72,11,11,2,11,12,72,11,72,72,11,72,12,11,11,11,56,11,
11,56,11,56,56,11,72,72,72,12,11,11,10,12,3,11,11,72,72,56,11,12,56,11,12,12,
11,11,11,72,11,56,72,56,72,72,11,72,11,12,11,2,56,56,72,56,72,56,56,11,3,72,
72,72,72,72,11,72,72,72,11,11,11,56,56,56,11,56,56,56,2,56,11,12,12,12,56,56,
56,11,11,72,56,11,72,21,21,2,18,56,56,72,11,21,11,56,2,56,12,48,56,11,21,11,
21,12,56,11,56,72,11,18,11,17,72,12,51,21,11,56,72,21,21,11,11,72,72,12,67,56,
72,72,56,11,56,56,22,21,12,12,21,22,21,72,22,11,22,67,11,72,19,11,19,21,56,21,
72,12,72,56,21,21,63,63,67,18,63,2,72,11,12,72,72,11,11,56,11,12,21,21,12,21,
72,18,21,72,72,72,72,67,21,56,2,21,63,63,63,12,56,11,12,56,56,3,11,21,21,11,
19,21,72,56,12,17,51,72,56,11,11,11,11,63,11,11,11,12,12,18,72,11,11,48,12,63,
11,11,11,11,11,10,12,11,84,21,84,84,21,21,21,21,84,21,84,84,21,84,84,12,21,12,
52,525,525,171,171,171,525,525,37,171,36,171,172,52,587,531,609,531,52,531,
217,531,52,52,52,531,531,531,531,52,531,52,531,1049,1049,531,531,36,74,54,217,
534,534,534,534,534,534,534,534,534,534,534,74,74,74,74,534,534,534,534,534,
534,1049,534,534,531,531,217,534,531,534,534,74,74,531,534,534,534,531,1049,
531,531,534,52,534,534,531,531,52,531,531,59,61,547,180,547,547,54,36,547,181,
544,549,180,535,51,549,544,180,180,180,547,181,180,180,549,180,549,36,549,181,
544,549,180,180,547,180,12,536,76,1624,1625,1626,1143,2,51,51,12,11,11,203,
199,207,48,51,56,56,207,56,56,56,56,56,51,12,207,11,56,56,48,207,207,56,11,56,
11,207,56,56,207,56,207,207,207,203,56,11,11,207,11,11,11,67,199,12,11,203,
207,207,207,72,72,207,207,72,207,207,208,72,207,207,72,56,56,203,207,56,56,
207,207,72,11,207,207,56,56,72,72,67,72,203,72,199,12,56,72,72,63,63,72,72,72,
72,207,207,207,48,208,56,72,72,207,207,51,212,203,207,212,11,209,207,207,56,
207,72,72,51,56,209,56,208,199,72,72,63,56,63,208,209,212,56,56,212,12,56,207,
18,67,209,207,207,56,207,207,72,72,48,207,56,56,56,56,212,230,230,255,72,84,
56,21,72,56,21,56,209,72,11,72,255,72,230,208,211,72,230,211,56,84,1494,531,
532,531,1494,532,52,171,1033,525,525,1033,1033,1033,586,1145,531,1508,587,
1508,52,531,223,217,587,1510,1046,531,1049,1046,531,1046,531,1046,1510,1049,
531,1046,531,609,609,217,1049,52,609,52,1510,1510,223,223,587,531,1046,531,
531,531,1046,1046,217,1046,531,223,531,1046,1508,1508,531,1046,1049,531,531,
1046,534,1049,531,1059,534,534,534,1049,534,531,535,205,534,534,534,531,534,
534,534,534,534,531,1049,1049,534,74,1152,549,547,544,180,1626,1626,1626,1625,
1625,1624,1624,1624,1625,1143,199,11,199,203,207,209,56,203,209,208,212,203,
207,212,209,207,207,203,208,56,207,203,208,211,203,208,56,207,199,56,211,212,
209,212,199,595,595,72,207,595,203,255,207,207,207,207,607,207,230,207,203,
607,72,607,207,207,255,207,230,595,607,587,1494,532,531,1494,1494,1494,1494,
1033,1826,1826,586,1827,1827,1145,1508,531,1827,1827,1145,1145,1514,1514,1046,
1510,1510,1510,587,1508,1049,1049,1508,613,1508,1508,1510,1508,1510,1046,1049,
609,1046,1046,1046,1046,223,531,1514,1046,1046,1046,531,1046,1510,1046,1533,
534,1152,1624,1625,1626,203,588,607,595,607,599,1161,207,596,599,1161,1161,
588,1161,595,1986,587,1986,1508,1508,1507,1507,1494,1826,1826,1826,2073,2074,
1145,1145,1827,1827,1827,1928,1827,1145,1827,1827,1827,1827,1510,1046,1508,
1514,1161,1986,1986,1986,1986,1986,1986,1986,1508,1986,1986,1507,1826,2074,
2073,2074,2073,2074,2073,1827,2000,1632,1827,2080,2000,1928,2080,2000,1827,
2120,1986,2062,2062,1986,1986,2062,2062,2074,2073,2000,2080,2120,2133,2120,
2120,2062,2120,2133,2139,2139],
[( 1, 84, 28,145, 65)( 2, 83, 27,146, 66)( 3, 71, 11, 36, 49)
( 4,119, 99, 47, 63)( 5,120,100, 48, 64)( 6, 70, 10, 33, 50)
( 7,234,202,147, 67)( 8,233,201,148, 68)( 9, 34, 52,149, 69)
( 12, 35, 53,150, 72)( 13, 21,205,151, 73)( 14, 22,206,152, 74)
( 15,195,207,153, 75)( 16, 23,143,154, 76)( 17, 26,144,155, 77)
( 18,196,208,156, 78)( 19,122,199,157, 79)( 20,123,200,158, 80)
( 24,235,209,159, 81)( 25,236,210,160, 82)( 29,137,190,161, 85)
( 30,138,191,162, 86)( 31, 51,180,128, 87)( 32, 54,179,127, 88)
( 37,104, 58,118, 89)( 38,105, 59,117, 90)( 39,108, 62,163, 91)
( 40,130,211,164, 92)( 41,129,212,165, 93)( 42,107, 61,166, 94)
( 43,187,141,167, 95)( 44,186,140,168, 96)( 45,131,173,111, 97)
( 46,132,174,114, 98)( 55,229,213,169,101)( 56,230,214,170,102)
( 57,113,181,133,103)( 60,112,182,134,106)(109,176,116,194,171)
(110,175,115,193,172)(121,125,231,223,177)(124,126,232,224,178)
(135,197,228,189,183)(136,198,227,192,184)(139,239,237,225,185)
(142,240,238,226,188)(203,221,216,217,219)(204,222,215,218,220),
( 1, 91,168,110, 2, 94,167,109)( 3, 97,192,114, 6, 98,189,111)
( 4, 89,191,113, 5, 90,190,112)( 7, 9, 10, 87, 8, 12, 11, 88)
( 13, 50,105, 45, 14, 49,104, 46)( 15, 66,194,116, 18, 65,193,115)
( 16, 80,129, 37, 17, 79,130, 38)( 19, 92,151,118, 20, 93,152,117)
( 21, 83,196,120, 22, 84,195,119)( 23, 71,198,124, 26, 70,197,121)
( 24, 72,186,123, 25, 69,187,122)( 27,100,200,126, 28, 99,199,125)
( 29, 68,185,128, 30, 67,188,127)( 31, 96,141, 59, 32, 95,140, 58)
( 33, 77,139, 57, 36, 76,142, 60)( 34, 78,144, 62, 35, 75,143, 61)
( 39, 86, 54,108, 42, 85, 51,107)( 40, 82,202,132, 41, 81,201,131)
( 43, 64,102,134, 44, 63,101,133)( 47, 74,138, 56, 48, 73,137, 55)
( 52,103,204,136, 53,106,203,135)(145,159,235,216,146,160,236,215)
(147,219,153,164,148,220,156,165)(149,181,240,218,150,182,239,217)
(154,229,177,213,155,230,178,214)(157,161,228,172,158,162,227,171)
(163,180,175,209,166,179,176,210)(169,226,224,222,170,225,223,221)
(173,233,238,208,174,234,237,207)(183,205,212,232,184,206,211,231)],
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AFLT( "2.(2^5:S6)","2.S6(2)",[1,2,3,4,3,4,4,5,7,8,13,9,8,9,15,13,14,11,10,15,
9,12,15,16,16,12,14,16,17,17,16,17,18,18,19,20,22,28,29,24,33,30,34,29,35,26,
27,55,37,38,45,39,38,41,55,56,66,79,40,65,37,71,58,74,42,47,57,45,47,47,73,56,
46,39,48,49,78,75,72,75,61,60,72,62,74,38,56,59,40,72,58,74,71,61,61,74,60,60,
71,40,75,73,55,77,76,49,64,63,80,82,43,64,78,59,62,81,60,66,49,44,76,77,80,63,
68,80,83,81,60,61,75,72,73,47,52,72,76,63,67,64,79,53,65,67,75,67,54,69,81,61,
84,52,54,85,51,83,82,86,53,86,86,48,70,84,87,88,89,84,50,51,90,94,95,97,99,96,
118,105,104,100,122,107,106,101,99,123,105,97,100,110,121,120,98,113,112,117,
116,115,135,128,129,133,141,146,136,135,134,171,168,178,177,184,134,227,140,
149,172,230,148,212,228,211,147,139,133,131,181,179,176,175,173,142,141,142,
184,248,177,154,185,181,180,181,169,232,183,142,137,170,178,180,182,155,169,
179,145,171,168,231,138,132,169,129,180,179,143,150,131,146,151,130,150,151,
151,150,147,186,251,187,158,249,250,190,175,182,145,132,162,177,233,156,158,
140,156,189,155,174,154,189,249,144,154,252,157,148,237,139,153,186,161,253,
188,176,185,152,154,188,252,152,190,189,178,254,252,236,190,248,144,214,231,
215,235,153,186,155,233,156,234,149,249,191,250,188,233,144,155,157,173,192,
153,187,158,149,183,157,187,152,148,250,170,232,251,238,139,251,140,160,242,
199,157,241,259,234,217,204,162,255,236,158,192,166,197,198,207,200,161,241,
193,255,198,194,219,220,228,202,194,239,216,195,211,213,218,256,255,254,220,
156,206,212,213,218,159,256,257,216,259,220,166,201,217,191,166,167,256,229,
258,246,257,258,196,193,242,219,194,259,240,190,190,193,242,181,180,193,194,
257,193,253,205,214,189,158,219,247,156,194,245,235,197,218,163,213,244,229,
143,152,189,240,193,241,239,258,198,215,216,143,239,193,240,152,194,227,230,
157,153,142,229,153,217,197,243,194,167,265,221,209,210,204,226,262,202,163,
209,164,224,205,208,263,210,203,165,264,225,201,223,208,203,210,222,208,209,
261,203,260,272,270,266,283,278,288,289,290,292,307,311,292,299,297,338,303,
337,302,329,313,315,323,342,341,296,314,295,334,317,331,316,306,318,333,308,
312,319,325,303,340,324,326,318,343,343,329,345,308,342,343,341,316,312,339,
311,305,304,344,328,346,327,347,332,355,359,373,383,375,375,393,375,373,408,
377,376,356,410,397,357,385,413,396,400,427,405,360,363,393,431,361,411,432,
356,358,436,387,394,420,439,496,418,417,405,399,456,357,398,385,386,413,397,
428,384,438,415,383,388,419,406,457,409,376,417,377,414,374,398,449,412,402,
366,386,487,469,408,429,417,396,418,404,384,401,401,450,476,419,480,470,398,
401,500,412,379,414,428,365,477,416,404,414,443,494,382,418,404,384,400,410,
488,427,412,395,386,444,501,428,419,495,362,362,389,421,422,362,361,360,433,
489,475,367,438,508,462,510,366,507,423,539,407,471,541,447,363,377,489,545,
391,490,556,557,387,392,449,479,493,546,545,455,499,367,366,365,379,490,390,
382,542,381,366,490,497,499,380,482,545,541,378,381,513,472,423,543,445,540,
358,491,497,504,357,491,555,454,458,455,454,504,458,446,558,451,496,430,493,
452,543,549,448,402,538,364,376,540,503,559,504,424,380,506,364,491,439,505,
391,453,498,492,440,544,542,429,459,403,540,488,367,489,544,452,542,544,380,
548,407,381,363,482,532,403,531,495,494,506,478,492,423,505,464,430,452,501,
500,390,453,463,457,358,440,450,461,458,447,530,407,506,451,473,511,538,455,
546,448,546,443,437,481,481,482,390,493,498,364,538,447,460,403,512,503,502,
481,474,409,539,543,492,499,391,406,487,502,477,476,497,448,502,547,434,440,
454,420,444,388,456,498,451,541,453,503,539,430,505,521,518,552,380,485,367,
435,486,535,515,551,515,365,551,509,484,563,425,527,380,364,381,507,441,535,
442,513,560,512,552,534,519,564,426,560,435,384,564,367,553,533,536,381,518,
519,433,514,514,468,465,558,562,564,537,441,560,514,520,521,526,389,561,531,
550,364,559,483,561,509,520,389,441,563,437,566,567,518,552,561,442,520,562,
551,369,372,467,525,565,519,509,562,436,530,548,524,523,442,547,521,466,515,
554,535,434,370,435,516,368,517,563,534,534,522,508,371,528,372,529,585,580,
568,574,570,569,576,591,593,598,597,596,614,613,602,603,630,631,649,621,650,
656,651,604,614,604,604,602,624,632,630,605,615,631,603,605,632,621,605,613,
632,615,615,608,616,659,663,668,637,609,667,610,687,693,617,682,670,638,671,
633,635,676,698,686,636,697,660,634,703,702,654,704,627,628,700,623,622,665,
652,664,706,679,688,657,695,701,683,680,684,678,696,677,675,685,653,681,658,
674,658,662,672,683,661,653,699,618,673,682,646,669,639,666,723,726,729,736,
727,738,731,730,731,743,784,739,749,770,785,797,758,753,778,759,748,744,728,
762,754,793,792,764,745,771,796,741,750,735,782,801,734,735,755,803,808,756,
804,809,802,761,813,780,791,758,900,747,779,732,795,894,765,856,790,765,744,
855,752,757,760,760,753,827,797,728,878,772,789,770,757,887,737,798,818,760,
766,746,745,764,786,862,763,882,742,831,768,763,787,762,777,774,780,788,759,
772,819,794,763,872,853,783,881,883,773,785,844,799,860,896,778,814,868,751,
752,750,746,749,789,786,773,772,789,751,774,799,817,765,727,859,788,784,775,
774,776,879,780,733,776,773,790,788,791,757,775,776,771,752,751,740,875,746,
790,884,898,885,892,782,830,825,897,861,869,786,874,791,741,799,775,924,826,
838,861,862,734,922,843,926,834,881,864,742,925,728,914,811,911,915,781,869,
888,863,906,838,889,876,876,800,865,779,828,835,810,916,816,827,834,837,820,
870,882,767,839,836,921,910,836,835,876,837,883,913,877,823,813,863,820,815,
822,814,836,866,768,867,918,800,877,902,826,903,870,835,863,834,905,877,832,
817,818,857,893,909,824,880,737,874,781,816,838,839,766,826,912,888,815,871,
815,870,820,841,854,868,830,831,840,875,920,821,841,734,871,886,895,901,805,
842,800,907,927,833,783,889,816,821,891,873,864,837,839,806,829,917,840,840,
769,769,887,890,858,769,889,890,821,871,923,841,891,767,919,908,899,888,781,
798,890,891,904,864,767,852,807,849,846,805,806,807,812,845,812,850,848,811,
847,851,812,810,807,935,928,932,930,939,931,933,929,949,940,945,943,950,953,
960,963,961,998,995,999,978,1001,955,980,1009,1000,974,981,967,979,982,954,
964,993,991,975,968,1014,956,1028,1016,985,1003,965,964,987,984,963,987,965,
982,999,956,955,1010,1010,1002,966,985,986,966,969,994,981,984,983,969,1015,
998,1017,983,983,954,1009,1003,967,1002,1003,986,992,984,965,986,956,969,968,
985,1002,1010,987,966,997,996,1019,1034,988,1007,1028,1031,973,1045,1043,1008,
1036,1025,1051,972,1041,1039,1035,1047,1021,1037,1049,1040,1020,1033,989,1013,
970,1046,1042,1022,1050,1032,971,1044,1038,990,1052,1070,1072,1071,1076,1077,
1093,1082,1080,1078,1078,1094,1085,1105,1118,1104,1135,1099,1106,1095,1125,
1114,1131,1121,1133,1102,1087,1127,1113,1098,1119,1083,1084,1139,1126,1122,
1137,1090,1129,1097,1091,1117,1086,1089,1092,1177,1162,1128,1138,1092,1138,
1138,1127,1120,1112,1149,1137,1195,1088,1089,1089,1124,1100,1109,1108,1101,
1154,1111,1165,1114,1107,1090,1099,1176,1159,1193,1192,1184,1142,1111,1107,
1113,1079,1108,1106,1124,1123,1141,1140,1171,1123,1178,1116,1152,1081,1182,
1122,1121,1132,1096,1115,1116,1101,1100,1109,1110,1110,1172,1187,1189,1098,
1115,1110,1107,1190,1170,1179,1087,1144,1126,1168,1092,1109,1141,1111,1142,
1142,1134,1140,1160,1100,1164,1151,1141,1140,1136,1158,1130,1147,1161,1169,
1155,1156,1143,1174,1150,1108,1103,1173,1166,1091,1084,1175,1105,1153,1123,
1124,1146,1191,1101,1116,1194,1115,1200,1197,1198,1180,1163,1186,1163,1149,
1183,1183,1081,1157,1167,1184,1128,1183,1181,1162,1188,1196,1201,1163,1148,
1145,1199,1185,1216,1214,1208,1215,1219,1207,1209,1225,1204,1223,1224,1203,
1202,1205,1227,1238,1248,1243,1244,1242,1246,1247,1289,1294,1285,1262,1277,
1302,1304,1293,1256,1275,1299,1291,1259,1303,1301,1274,1300,1296,1297,1295,
1305,1282,1245,1284,1261,1264,1312,1313,1286,1249,1276,1250,1314,1315,1318,
1311,1287,1310,1306,1288,1255,1290,1263,1258,1268,1292,1260,1267,1308,1273,
1269,1320,1269,1323,1251,1268,1267,1321,1270,1257,1327,1252,1270,1269,1257,
1270,1255,1250,1256,1251,1257,1251,1322,1319,1249,1282,1326,1317,1316,1330,
1331,1354,1358,1352,1353,1355,1356,1350,1351,1357,1359,1363,1361,1362,1366,
1391,1397,1401,1386,1369,1370,1378,1396,1364,1383,1394,1372,1373,1384,1389,
1399,1377,1385,1379,1398,1392,1395,1400,1365,1367,1388,1380,1381,1382,1368,
1376,1406,1410,1401,1365,1407,1408,1393,1374,1374,1364,1372,1403,1375,1390,
1375,1411,1402,1388,1404,1373,1374,1387,1375,1371,1409,1405,1412,1415,1414,
1413,1427,1422,1416,1423,1428,1430,1429,1431,1448,1447,1450,1453,1452,1448,
1454,1450,1458,1485,1484,1463,1477,1494,1493,1496,1480,1497,1498,1487,1492,
1486,1481,1482,1475,1478,1488,1495,1466,1491,1461,1464,1471,1467,1460,1499,
1473,1472,1490,1476,1462,1474,1483,1500,1460,1503,1520,1519,1518,1522,1523,
1531,1525,1527,1533,1534,1524,1535,1528,1529,1530,1536,1532,1526,1537,1538,
1539,1541,1540,1544,1545,1547,1550,1548,1549,1555,1556,1573,1564,1567,1569,
1570,1566,1571,1574,1576,1569,1575,1570,1579,1582,1581,1580,1587,1588,1592,
1590,1594,1591,1589,1593,1602,1595,1596,1599,1603,1616,1614,1613,1615,1612,
1611,1633,1626,1623,1621,1629,1625,1630,1624,1631,1632,1634,1642,1637,1638,
1641,1643,1639,1640,1650,1651,1655,1654,1657,1658,1659,1656,1666,1670,1669,
1678,1681] );
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#E